Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [221,2,Mod(44,221)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(221, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([12, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("221.44");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 221 = 13 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 221.z (of order \(16\), degree \(8\), 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: | \(1.76469388467\) |
Analytic rank: | \(0\) |
Dimension: | \(152\) |
Relative dimension: | \(19\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 44.13 | ||
Character | \(\chi\) | \(=\) | 221.44 |
Dual form | 221.2.z.a.216.13 |
$q$-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 \(\left(\mathbb{Z}/221\mathbb{Z}\right)^\times\).
\(n\) | \(105\) | \(171\) |
\(\chi(n)\) | \(e\left(\frac{3}{16}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.387074 | + | 0.934480i | 0.273703 | + | 0.660777i | 0.999636 | − | 0.0269883i | \(-0.00859167\pi\) |
−0.725933 | + | 0.687766i | \(0.758592\pi\) | |||||||
\(3\) | −2.72959 | − | 1.82386i | −1.57593 | − | 1.05300i | −0.965319 | − | 0.261073i | \(-0.915924\pi\) |
−0.610612 | − | 0.791930i | \(-0.709076\pi\) | |||||||
\(4\) | 0.690787 | − | 0.690787i | 0.345393 | − | 0.345393i | ||||
\(5\) | −2.09932 | + | 3.14186i | −0.938846 | + | 1.40508i | −0.0247007 | + | 0.999695i | \(0.507863\pi\) |
−0.914145 | + | 0.405387i | \(0.867137\pi\) | |||||||
\(6\) | 0.647801 | − | 3.25672i | 0.264464 | − | 1.32955i | ||||
\(7\) | −0.0152419 | − | 0.0228111i | −0.00576089 | − | 0.00862178i | 0.828578 | − | 0.559874i | \(-0.189150\pi\) |
−0.834339 | + | 0.551252i | \(0.814150\pi\) | |||||||
\(8\) | 2.78187 | + | 1.15229i | 0.983541 | + | 0.407396i | ||||
\(9\) | 2.97618 | + | 7.18512i | 0.992058 | + | 2.39504i | ||||
\(10\) | −3.74860 | − | 0.745643i | −1.18541 | − | 0.235793i | ||||
\(11\) | −0.335547 | + | 1.68691i | −0.101171 | + | 0.508622i | 0.896655 | + | 0.442729i | \(0.145990\pi\) |
−0.997827 | + | 0.0658933i | \(0.979010\pi\) | |||||||
\(12\) | −3.14546 | + | 0.625671i | −0.908016 | + | 0.180616i | ||||
\(13\) | −2.06515 | + | 2.95553i | −0.572768 | + | 0.819717i | ||||
\(14\) | 0.0154168 | − | 0.0230728i | 0.00412030 | − | 0.00616647i | ||||
\(15\) | 11.4606 | − | 4.74713i | 2.95911 | − | 1.22570i | ||||
\(16\) | 1.09179i | 0.272947i | ||||||||
\(17\) | −3.51397 | + | 2.15685i | −0.852263 | + | 0.523114i | ||||
\(18\) | −5.56235 | + | 5.56235i | −1.31106 | + | 1.31106i | ||||
\(19\) | 0.960614 | + | 2.31913i | 0.220380 | + | 0.532044i | 0.994942 | − | 0.100454i | \(-0.0320296\pi\) |
−0.774562 | + | 0.632498i | \(0.782030\pi\) | |||||||
\(20\) | 0.720170 | + | 3.62054i | 0.161035 | + | 0.809577i | ||||
\(21\) | 0.0900639i | 0.0196536i | ||||||||
\(22\) | −1.70627 | + | 0.339397i | −0.363777 | + | 0.0723598i | ||||
\(23\) | 0.920919 | + | 1.37825i | 0.192025 | + | 0.287386i | 0.914972 | − | 0.403518i | \(-0.132213\pi\) |
−0.722947 | + | 0.690904i | \(0.757213\pi\) | |||||||
\(24\) | −5.49177 | − | 8.21901i | −1.12100 | − | 1.67770i | ||||
\(25\) | −3.55070 | − | 8.57216i | −0.710141 | − | 1.71443i | ||||
\(26\) | −3.56125 | − | 0.785827i | −0.698419 | − | 0.154113i | ||||
\(27\) | 3.05952 | − | 15.3812i | 0.588805 | − | 2.96012i | ||||
\(28\) | −0.0262865 | − | 0.00522870i | −0.00496768 | − | 0.000988132i | ||||
\(29\) | 0.615794 | + | 3.09581i | 0.114350 | + | 0.574877i | 0.994895 | + | 0.100914i | \(0.0321768\pi\) |
−0.880545 | + | 0.473963i | \(0.842823\pi\) | |||||||
\(30\) | 8.87220 | + | 8.87220i | 1.61984 | + | 1.61984i | ||||
\(31\) | −0.374481 | − | 1.88264i | −0.0672588 | − | 0.338133i | 0.932474 | − | 0.361236i | \(-0.117645\pi\) |
−0.999733 | + | 0.0231036i | \(0.992645\pi\) | |||||||
\(32\) | 4.54349 | − | 1.88198i | 0.803183 | − | 0.332689i | ||||
\(33\) | 3.99259 | − | 3.99259i | 0.695020 | − | 0.695020i | ||||
\(34\) | −3.37570 | − | 2.44887i | −0.578929 | − | 0.419978i | ||||
\(35\) | 0.103667 | 0.0175229 | ||||||||
\(36\) | 7.01929 | + | 2.90748i | 1.16988 | + | 0.484581i | ||||
\(37\) | −1.18991 | − | 5.98208i | −0.195620 | − | 0.983447i | −0.946425 | − | 0.322924i | \(-0.895334\pi\) |
0.750805 | − | 0.660524i | \(-0.229666\pi\) | |||||||
\(38\) | −1.79535 | + | 1.79535i | −0.291244 | + | 0.291244i | ||||
\(39\) | 11.0275 | − | 4.30087i | 1.76581 | − | 0.688690i | ||||
\(40\) | −9.46038 | + | 6.32122i | −1.49582 | + | 0.999473i | ||||
\(41\) | 1.32111 | − | 0.882736i | 0.206322 | − | 0.137860i | −0.448116 | − | 0.893975i | \(-0.647905\pi\) |
0.654439 | + | 0.756115i | \(0.272905\pi\) | |||||||
\(42\) | −0.0841630 | + | 0.0348614i | −0.0129866 | + | 0.00537924i | ||||
\(43\) | −6.47602 | + | 2.68246i | −0.987584 | + | 0.409071i | −0.817230 | − | 0.576312i | \(-0.804491\pi\) |
−0.170355 | + | 0.985383i | \(0.554491\pi\) | |||||||
\(44\) | 0.933503 | + | 1.39709i | 0.140731 | + | 0.210619i | ||||
\(45\) | −28.8226 | − | 5.73317i | −4.29662 | − | 0.854651i | ||||
\(46\) | −0.931486 | + | 1.39407i | −0.137340 | + | 0.205544i | ||||
\(47\) | −2.82475 | −0.412032 | −0.206016 | − | 0.978549i | \(-0.566050\pi\) | ||||
−0.206016 | + | 0.978549i | \(0.566050\pi\) | |||||||
\(48\) | 1.99126 | − | 2.98014i | 0.287414 | − | 0.430145i | ||||
\(49\) | 2.67850 | − | 6.46646i | 0.382642 | − | 0.923780i | ||||
\(50\) | 6.63612 | − | 6.63612i | 0.938490 | − | 0.938490i | ||||
\(51\) | 13.5255 | + | 0.521643i | 1.89395 | + | 0.0730446i | ||||
\(52\) | 0.615067 | + | 3.46822i | 0.0852944 | + | 0.480955i | ||||
\(53\) | −3.58734 | + | 8.66059i | −0.492758 | + | 1.18962i | 0.460552 | + | 0.887633i | \(0.347651\pi\) |
−0.953311 | + | 0.301992i | \(0.902349\pi\) | |||||||
\(54\) | 15.5577 | − | 3.09463i | 2.11714 | − | 0.421125i | ||||
\(55\) | −4.59561 | − | 4.59561i | −0.619672 | − | 0.619672i | ||||
\(56\) | −0.0161160 | − | 0.0810206i | −0.00215359 | − | 0.0108268i | ||||
\(57\) | 1.60767 | − | 8.08229i | 0.212941 | − | 1.07053i | ||||
\(58\) | −2.65461 | + | 1.77376i | −0.348568 | + | 0.232905i | ||||
\(59\) | 8.96378 | + | 3.71292i | 1.16699 | + | 0.483381i | 0.880195 | − | 0.474612i | \(-0.157412\pi\) |
0.286790 | + | 0.957993i | \(0.407412\pi\) | |||||||
\(60\) | 4.63757 | − | 11.1961i | 0.598707 | − | 1.44541i | ||||
\(61\) | −2.18473 | + | 10.9834i | −0.279726 | + | 1.40628i | 0.543904 | + | 0.839147i | \(0.316945\pi\) |
−0.823630 | + | 0.567128i | \(0.808055\pi\) | |||||||
\(62\) | 1.61434 | − | 1.07867i | 0.205022 | − | 0.136991i | ||||
\(63\) | 0.118538 | − | 0.177405i | 0.0149344 | − | 0.0223509i | ||||
\(64\) | 5.06136 | + | 5.06136i | 0.632670 | + | 0.632670i | ||||
\(65\) | −4.95046 | − | 12.6930i | −0.614029 | − | 1.57437i | ||||
\(66\) | 5.27642 | + | 2.18557i | 0.649483 | + | 0.269025i | ||||
\(67\) | −4.70168 | − | 4.70168i | −0.574401 | − | 0.574401i | 0.358954 | − | 0.933355i | \(-0.383133\pi\) |
−0.933355 | + | 0.358954i | \(0.883133\pi\) | |||||||
\(68\) | −0.937478 | + | 3.91733i | −0.113686 | + | 0.475046i | ||||
\(69\) | − | 5.44169i | − | 0.655103i | ||||||
\(70\) | 0.0401268 | + | 0.0968746i | 0.00479607 | + | 0.0115787i | ||||
\(71\) | 2.19797 | − | 0.437203i | 0.260851 | − | 0.0518865i | −0.0629322 | − | 0.998018i | \(-0.520045\pi\) |
0.323783 | + | 0.946131i | \(0.395045\pi\) | |||||||
\(72\) | 23.4175i | 2.75978i | ||||||||
\(73\) | 7.50914 | + | 5.01744i | 0.878878 | + | 0.587247i | 0.911078 | − | 0.412234i | \(-0.135251\pi\) |
−0.0322001 | + | 0.999481i | \(0.510251\pi\) | |||||||
\(74\) | 5.12955 | − | 3.42746i | 0.596298 | − | 0.398434i | ||||
\(75\) | −5.94240 | + | 29.8745i | −0.686169 | + | 3.44961i | ||||
\(76\) | 2.26560 | + | 0.938442i | 0.259882 | + | 0.107647i | ||||
\(77\) | 0.0435946 | − | 0.0180575i | 0.00496807 | − | 0.00205784i | ||||
\(78\) | 8.28753 | + | 8.64020i | 0.938378 | + | 0.978310i | ||||
\(79\) | 6.23332 | + | 9.32882i | 0.701303 | + | 1.04957i | 0.995586 | + | 0.0938562i | \(0.0299194\pi\) |
−0.294282 | + | 0.955719i | \(0.595081\pi\) | |||||||
\(80\) | −3.43024 | − | 2.29202i | −0.383513 | − | 0.256255i | ||||
\(81\) | −19.9066 | + | 19.9066i | −2.21185 | + | 2.21185i | ||||
\(82\) | 1.33627 | + | 0.892865i | 0.147566 | + | 0.0986005i | ||||
\(83\) | 5.25607 | − | 2.17713i | 0.576928 | − | 0.238972i | −0.0750874 | − | 0.997177i | \(-0.523924\pi\) |
0.652016 | + | 0.758205i | \(0.273924\pi\) | |||||||
\(84\) | 0.0622149 | + | 0.0622149i | 0.00678821 | + | 0.00678821i | ||||
\(85\) | 0.600430 | − | 15.5683i | 0.0651257 | − | 1.68862i | ||||
\(86\) | −5.01341 | − | 5.01341i | −0.540610 | − | 0.540610i | ||||
\(87\) | 3.96544 | − | 9.57341i | 0.425139 | − | 1.02638i | ||||
\(88\) | −2.87726 | + | 4.30612i | −0.306717 | + | 0.459034i | ||||
\(89\) | − | 10.7504i | − | 1.13954i | −0.821804 | − | 0.569770i | \(-0.807032\pi\) | ||
0.821804 | − | 0.569770i | \(-0.192968\pi\) | |||||||
\(90\) | −5.79895 | − | 29.1533i | −0.611263 | − | 3.07303i | ||||
\(91\) | 0.0988956 | + | 0.00206035i | 0.0103671 | + | 0.000215984i | ||||
\(92\) | 1.58824 | + | 0.315920i | 0.165585 | + | 0.0329369i | ||||
\(93\) | −2.41149 | + | 5.82185i | −0.250060 | + | 0.603698i | ||||
\(94\) | −1.09339 | − | 2.63967i | −0.112774 | − | 0.272261i | ||||
\(95\) | −9.30301 | − | 1.85048i | −0.954468 | − | 0.189856i | ||||
\(96\) | −15.8343 | − | 3.14964i | −1.61608 | − | 0.321459i | ||||
\(97\) | 10.3698 | + | 6.92890i | 1.05290 | + | 0.703523i | 0.956474 | − | 0.291817i | \(-0.0942600\pi\) |
0.0964226 | + | 0.995340i | \(0.469260\pi\) | |||||||
\(98\) | 7.07956 | 0.715143 | ||||||||
\(99\) | −13.1193 | + | 2.60959i | −1.31854 | + | 0.262274i | ||||
\(100\) | −8.37431 | − | 3.46875i | −0.837431 | − | 0.346875i | ||||
\(101\) | −6.71405 | −0.668073 | −0.334036 | − | 0.942560i | \(-0.608411\pi\) | ||||
−0.334036 | + | 0.942560i | \(0.608411\pi\) | |||||||
\(102\) | 4.74791 | + | 12.8412i | 0.470113 | + | 1.27147i | ||||
\(103\) | − | 16.4883i | − | 1.62464i | −0.583213 | − | 0.812319i | \(-0.698205\pi\) | ||
0.583213 | − | 0.812319i | \(-0.301795\pi\) | |||||||
\(104\) | −9.15060 | + | 5.84227i | −0.897290 | + | 0.572882i | ||||
\(105\) | −0.282968 | − | 0.189073i | −0.0276149 | − | 0.0184517i | ||||
\(106\) | −9.48172 | −0.920946 | ||||||||
\(107\) | −7.77034 | + | 1.54562i | −0.751187 | + | 0.149420i | −0.555812 | − | 0.831308i | \(-0.687592\pi\) |
−0.195375 | + | 0.980729i | \(0.562592\pi\) | |||||||
\(108\) | −8.51168 | − | 12.7386i | −0.819037 | − | 1.22578i | ||||
\(109\) | 8.30698 | − | 5.55055i | 0.795664 | − | 0.531646i | −0.0900167 | − | 0.995940i | \(-0.528692\pi\) |
0.885681 | + | 0.464294i | \(0.153692\pi\) | |||||||
\(110\) | 2.51566 | − | 6.07335i | 0.239859 | − | 0.579071i | ||||
\(111\) | −7.66248 | + | 18.4989i | −0.727290 | + | 1.75583i | ||||
\(112\) | 0.0249049 | − | 0.0166409i | 0.00235329 | − | 0.00157242i | ||||
\(113\) | −0.977822 | − | 1.46341i | −0.0919858 | − | 0.137666i | 0.782623 | − | 0.622496i | \(-0.213881\pi\) |
−0.874608 | + | 0.484830i | \(0.838881\pi\) | |||||||
\(114\) | 8.17503 | − | 1.62611i | 0.765661 | − | 0.152300i | ||||
\(115\) | −6.26358 | −0.584082 | ||||||||
\(116\) | 2.56392 | + | 1.71316i | 0.238054 | + | 0.159063i | ||||
\(117\) | −27.3821 | − | 6.04215i | −2.53148 | − | 0.558597i | ||||
\(118\) | 9.81366i | 0.903420i | ||||||||
\(119\) | 0.102760 | + | 0.0472830i | 0.00941996 | + | 0.00433442i | ||||
\(120\) | 37.3520 | 3.40975 | ||||||||
\(121\) | 7.42960 | + | 3.07744i | 0.675418 | + | 0.279767i | ||||
\(122\) | −11.1094 | + | 2.20979i | −1.00580 | + | 0.200065i | ||||
\(123\) | −5.21607 | −0.470317 | ||||||||
\(124\) | −1.55919 | − | 1.04182i | −0.140020 | − | 0.0935581i | ||||
\(125\) | 15.8562 | + | 3.15399i | 1.41822 | + | 0.282102i | ||||
\(126\) | 0.211664 | + | 0.0421026i | 0.0188565 | + | 0.00375080i | ||||
\(127\) | −3.10290 | − | 7.49106i | −0.275338 | − | 0.664724i | 0.724357 | − | 0.689425i | \(-0.242137\pi\) |
−0.999695 | + | 0.0247008i | \(0.992137\pi\) | |||||||
\(128\) | 0.993334 | − | 2.39812i | 0.0877991 | − | 0.211966i | ||||
\(129\) | 22.5693 | + | 4.48932i | 1.98712 | + | 0.395262i | ||||
\(130\) | 9.94518 | − | 9.53925i | 0.872250 | − | 0.836647i | ||||
\(131\) | −2.13271 | − | 10.7219i | −0.186336 | − | 0.936774i | −0.954883 | − | 0.296981i | \(-0.904020\pi\) |
0.768547 | − | 0.639793i | \(-0.220980\pi\) | |||||||
\(132\) | − | 5.51605i | − | 0.480111i | ||||||
\(133\) | 0.0382602 | − | 0.0572605i | 0.00331758 | − | 0.00496511i | ||||
\(134\) | 2.57373 | − | 6.21352i | 0.222336 | − | 0.536767i | ||||
\(135\) | 41.9028 | + | 41.9028i | 3.60642 | + | 3.60642i | ||||
\(136\) | −12.2607 | + | 1.95098i | −1.05135 | + | 0.167295i | ||||
\(137\) | 6.92893 | + | 6.92893i | 0.591979 | + | 0.591979i | 0.938166 | − | 0.346187i | \(-0.112524\pi\) |
−0.346187 | + | 0.938166i | \(0.612524\pi\) | |||||||
\(138\) | 5.08515 | − | 2.10634i | 0.432877 | − | 0.179303i | ||||
\(139\) | 2.69091 | + | 1.79801i | 0.228240 | + | 0.152505i | 0.664433 | − | 0.747348i | \(-0.268673\pi\) |
−0.436192 | + | 0.899853i | \(0.643673\pi\) | |||||||
\(140\) | 0.0716116 | − | 0.0716116i | 0.00605229 | − | 0.00605229i | ||||
\(141\) | 7.71041 | + | 5.15193i | 0.649333 | + | 0.433871i | ||||
\(142\) | 1.25934 | + | 1.88473i | 0.105681 | + | 0.158163i | ||||
\(143\) | −4.29276 | − | 4.47544i | −0.358979 | − | 0.374255i | ||||
\(144\) | −7.84463 | + | 3.24935i | −0.653719 | + | 0.270779i | ||||
\(145\) | −11.0193 | − | 4.56436i | −0.915106 | − | 0.379049i | ||||
\(146\) | −1.78211 | + | 8.95926i | −0.147488 | + | 0.741474i | ||||
\(147\) | −19.1051 | + | 12.7656i | −1.57576 | + | 1.05289i | ||||
\(148\) | −4.95431 | − | 3.31037i | −0.407242 | − | 0.272110i | ||||
\(149\) | 1.91843i | 0.157164i | 0.996908 | + | 0.0785818i | \(0.0250392\pi\) | ||||
−0.996908 | + | 0.0785818i | \(0.974961\pi\) | |||||||
\(150\) | −30.2172 | + | 6.01058i | −2.46723 | + | 0.490762i | ||||
\(151\) | 5.83854 | + | 14.0955i | 0.475134 | + | 1.14707i | 0.961865 | + | 0.273523i | \(0.0881889\pi\) |
−0.486732 | + | 0.873552i | \(0.661811\pi\) | |||||||
\(152\) | 7.55842i | 0.613069i | ||||||||
\(153\) | −25.9554 | − | 18.8291i | −2.09837 | − | 1.52225i | ||||
\(154\) | 0.0337487 | + | 0.0337487i | 0.00271955 | + | 0.00271955i | ||||
\(155\) | 6.70116 | + | 2.77571i | 0.538250 | + | 0.222950i | ||||
\(156\) | 4.64664 | − | 10.5886i | 0.372029 | − | 0.847768i | ||||
\(157\) | 10.3369 | + | 10.3369i | 0.824978 | + | 0.824978i | 0.986817 | − | 0.161839i | \(-0.0517425\pi\) |
−0.161839 | + | 0.986817i | \(0.551742\pi\) | |||||||
\(158\) | −6.30484 | + | 9.43587i | −0.501586 | + | 0.750677i | ||||
\(159\) | 25.5876 | − | 17.0971i | 2.02923 | − | 1.35589i | ||||
\(160\) | −3.62535 | + | 18.2259i | −0.286609 | + | 1.44088i | ||||
\(161\) | 0.0174029 | − | 0.0420143i | 0.00137154 | − | 0.00331119i | ||||
\(162\) | −26.3077 | − | 10.8970i | −2.06693 | − | 0.856150i | ||||
\(163\) | 4.85067 | − | 3.24111i | 0.379934 | − | 0.253864i | −0.350909 | − | 0.936410i | \(-0.614127\pi\) |
0.730843 | + | 0.682546i | \(0.239127\pi\) | |||||||
\(164\) | 0.302822 | − | 1.52239i | 0.0236464 | − | 0.118878i | ||||
\(165\) | 4.16241 | + | 20.9259i | 0.324044 | + | 1.62908i | ||||
\(166\) | 4.06898 | + | 4.06898i | 0.315814 | + | 0.315814i | ||||
\(167\) | 23.7921 | − | 4.73254i | 1.84109 | − | 0.366215i | 0.853223 | − | 0.521546i | \(-0.174645\pi\) |
0.987862 | + | 0.155332i | \(0.0496446\pi\) | |||||||
\(168\) | −0.103780 | + | 0.250546i | −0.00800678 | + | 0.0193301i | ||||
\(169\) | −4.47034 | − | 12.2072i | −0.343873 | − | 0.939016i | ||||
\(170\) | 14.7807 | − | 5.46501i | 1.13363 | − | 0.419147i | ||||
\(171\) | −13.8043 | + | 13.8043i | −1.05564 | + | 1.05564i | ||||
\(172\) | −2.62055 | + | 6.32656i | −0.199815 | + | 0.482395i | ||||
\(173\) | −1.09153 | + | 1.63359i | −0.0829873 | + | 0.124199i | −0.870641 | − | 0.491919i | \(-0.836296\pi\) |
0.787654 | + | 0.616118i | \(0.211296\pi\) | |||||||
\(174\) | 10.4811 | 0.794569 | ||||||||
\(175\) | −0.141421 | + | 0.211651i | −0.0106904 | + | 0.0159993i | ||||
\(176\) | −1.84175 | − | 0.366346i | −0.138827 | − | 0.0276144i | ||||
\(177\) | −17.6956 | − | 26.4834i | −1.33009 | − | 1.99061i | ||||
\(178\) | 10.0460 | − | 4.16121i | 0.752983 | − | 0.311896i | ||||
\(179\) | 14.0116 | − | 5.80379i | 1.04728 | − | 0.433796i | 0.208357 | − | 0.978053i | \(-0.433188\pi\) |
0.838919 | + | 0.544257i | \(0.183188\pi\) | |||||||
\(180\) | −23.8707 | + | 15.9499i | −1.77921 | + | 1.18883i | ||||
\(181\) | −4.50613 | + | 3.01090i | −0.334938 | + | 0.223799i | −0.711654 | − | 0.702530i | \(-0.752053\pi\) |
0.376715 | + | 0.926329i | \(0.377053\pi\) | |||||||
\(182\) | 0.0363546 | + | 0.0932135i | 0.00269478 | + | 0.00690944i | ||||
\(183\) | 25.9955 | − | 25.9955i | 1.92164 | − | 1.92164i | ||||
\(184\) | 0.973734 | + | 4.89529i | 0.0717846 | + | 0.360885i | ||||
\(185\) | 21.2928 | + | 8.81979i | 1.56548 | + | 0.648444i | ||||
\(186\) | −6.37383 | −0.467352 | ||||||||
\(187\) | −2.45931 | − | 6.65148i | −0.179843 | − | 0.486404i | ||||
\(188\) | −1.95130 | + | 1.95130i | −0.142313 | + | 0.142313i | ||||
\(189\) | −0.397496 | + | 0.164648i | −0.0289136 | + | 0.0119764i | ||||
\(190\) | −1.87172 | − | 9.40975i | −0.135789 | − | 0.682655i | ||||
\(191\) | 2.26548 | + | 2.26548i | 0.163924 | + | 0.163924i | 0.784303 | − | 0.620378i | \(-0.213021\pi\) |
−0.620378 | + | 0.784303i | \(0.713021\pi\) | |||||||
\(192\) | −4.58426 | − | 23.0466i | −0.330841 | − | 1.66325i | ||||
\(193\) | −19.1254 | − | 3.80427i | −1.37667 | − | 0.273837i | −0.549364 | − | 0.835583i | \(-0.685130\pi\) |
−0.827310 | + | 0.561746i | \(0.810130\pi\) | |||||||
\(194\) | −2.46102 | + | 12.3724i | −0.176691 | + | 0.888287i | ||||
\(195\) | −9.63749 | + | 43.6757i | −0.690155 | + | 3.12768i | ||||
\(196\) | −2.61668 | − | 6.31721i | −0.186905 | − | 0.451230i | ||||
\(197\) | 3.98258 | + | 5.96035i | 0.283747 | + | 0.424657i | 0.945775 | − | 0.324822i | \(-0.105304\pi\) |
−0.662029 | + | 0.749479i | \(0.730304\pi\) | |||||||
\(198\) | −7.51676 | − | 11.2496i | −0.534193 | − | 0.799476i | ||||
\(199\) | 8.69550 | − | 1.72964i | 0.616407 | − | 0.122611i | 0.122996 | − | 0.992407i | \(-0.460750\pi\) |
0.493411 | + | 0.869796i | \(0.335750\pi\) | |||||||
\(200\) | − | 27.9381i | − | 1.97552i | ||||||
\(201\) | 4.25848 | + | 21.4088i | 0.300370 | + | 1.51006i | ||||
\(202\) | −2.59884 | − | 6.27415i | −0.182853 | − | 0.441447i | ||||
\(203\) | 0.0612328 | − | 0.0612328i | 0.00429770 | − | 0.00429770i | ||||
\(204\) | 9.70357 | − | 8.98289i | 0.679386 | − | 0.628928i | ||||
\(205\) | 6.00389i | 0.419330i | ||||||||
\(206\) | 15.4080 | − | 6.38219i | 1.07352 | − | 0.444668i | ||||
\(207\) | −7.16210 | + | 10.7188i | −0.497800 | + | 0.745011i | ||||
\(208\) | −3.22681 | − | 2.25470i | −0.223739 | − | 0.156335i | ||||
\(209\) | −4.23449 | + | 0.842292i | −0.292906 | + | 0.0582626i | ||||
\(210\) | 0.0671555 | − | 0.337614i | 0.00463417 | − | 0.0232975i | ||||
\(211\) | 0.327288 | + | 0.0651017i | 0.0225315 | + | 0.00448179i | 0.206343 | − | 0.978480i | \(-0.433844\pi\) |
−0.183812 | + | 0.982961i | \(0.558844\pi\) | |||||||
\(212\) | 3.50454 | + | 8.46071i | 0.240693 | + | 0.581084i | ||||
\(213\) | −6.79695 | − | 2.81539i | −0.465720 | − | 0.192907i | ||||
\(214\) | −4.45205 | − | 6.66296i | −0.304336 | − | 0.455471i | ||||
\(215\) | 5.16737 | − | 25.9781i | 0.352411 | − | 1.77169i | ||||
\(216\) | 26.2348 | − | 39.2632i | 1.78506 | − | 2.67152i | ||||
\(217\) | −0.0372373 | + | 0.0372373i | −0.00252784 | + | 0.00252784i | ||||
\(218\) | 8.40229 | + | 5.61423i | 0.569075 | + | 0.380244i | ||||
\(219\) | −11.3458 | − | 27.3912i | −0.766677 | − | 1.85092i | ||||
\(220\) | −6.34917 | −0.428061 | ||||||||
\(221\) | 0.882212 | − | 14.8399i | 0.0593440 | − | 0.998238i | ||||
\(222\) | −20.2528 | −1.35928 | ||||||||
\(223\) | 6.72389 | + | 16.2329i | 0.450265 | + | 1.08704i | 0.972221 | + | 0.234064i | \(0.0752024\pi\) |
−0.521956 | + | 0.852972i | \(0.674798\pi\) | |||||||
\(224\) | −0.112181 | − | 0.0749571i | −0.00749542 | − | 0.00500828i | ||||
\(225\) | 51.0245 | − | 51.0245i | 3.40163 | − | 3.40163i | ||||
\(226\) | 0.989042 | − | 1.48021i | 0.0657901 | − | 0.0984618i | ||||
\(227\) | −2.78322 | + | 13.9922i | −0.184729 | + | 0.928695i | 0.771534 | + | 0.636188i | \(0.219490\pi\) |
−0.956263 | + | 0.292507i | \(0.905510\pi\) | |||||||
\(228\) | −4.47258 | − | 6.69369i | −0.296204 | − | 0.443301i | ||||
\(229\) | 0.200857 | + | 0.0831978i | 0.0132730 | + | 0.00549786i | 0.389310 | − | 0.921107i | \(-0.372713\pi\) |
−0.376037 | + | 0.926605i | \(0.622713\pi\) | |||||||
\(230\) | −2.42447 | − | 5.85319i | −0.159865 | − | 0.385948i | ||||
\(231\) | −0.151930 | − | 0.0302207i | −0.00999624 | − | 0.00198838i | ||||
\(232\) | −1.85420 | + | 9.32172i | −0.121734 | + | 0.612001i | ||||
\(233\) | −8.11156 | + | 1.61349i | −0.531406 | + | 0.105703i | −0.453498 | − | 0.891257i | \(-0.649824\pi\) |
−0.0779079 | + | 0.996961i | \(0.524824\pi\) | |||||||
\(234\) | −4.95264 | − | 27.9268i | −0.323764 | − | 1.82563i | ||||
\(235\) | 5.93006 | − | 8.87496i | 0.386834 | − | 0.578938i | ||||
\(236\) | 8.75690 | − | 3.62723i | 0.570026 | − | 0.236112i | ||||
\(237\) | − | 36.8326i | − | 2.39253i | ||||||
\(238\) | −0.00440936 | + | 0.114329i | −0.000285817 | + | 0.00741084i | ||||
\(239\) | −16.4633 | + | 16.4633i | −1.06492 | + | 1.06492i | −0.0671786 | + | 0.997741i | \(0.521400\pi\) |
−0.997741 | + | 0.0671786i | \(0.978600\pi\) | |||||||
\(240\) | 5.18286 | + | 12.5125i | 0.334552 | + | 0.807681i | ||||
\(241\) | −0.0807751 | − | 0.406084i | −0.00520318 | − | 0.0261582i | 0.978096 | − | 0.208152i | \(-0.0667449\pi\) |
−0.983300 | + | 0.181994i | \(0.941745\pi\) | |||||||
\(242\) | 8.13402i | 0.522874i | ||||||||
\(243\) | 44.5001 | − | 8.85162i | 2.85468 | − | 0.567832i | ||||
\(244\) | 6.07798 | + | 9.09634i | 0.389103 | + | 0.582333i | ||||
\(245\) | 14.6937 | + | 21.9906i | 0.938745 | + | 1.40493i | ||||
\(246\) | −2.01901 | − | 4.87432i | −0.128727 | − | 0.310775i | ||||
\(247\) | −8.83806 | − | 1.95021i | −0.562352 | − | 0.124089i | ||||
\(248\) | 1.12759 | − | 5.66879i | 0.0716022 | − | 0.359968i | ||||
\(249\) | −18.3177 | − | 3.64362i | −1.16084 | − | 0.230905i | ||||
\(250\) | 3.19018 | + | 16.0381i | 0.201765 | + | 1.01434i | ||||
\(251\) | −20.2538 | − | 20.2538i | −1.27841 | − | 1.27841i | −0.941558 | − | 0.336850i | \(-0.890638\pi\) |
−0.336850 | − | 0.941558i | \(-0.609362\pi\) | |||||||
\(252\) | −0.0406643 | − | 0.204433i | −0.00256161 | − | 0.0128781i | ||||
\(253\) | −2.63400 | + | 1.09104i | −0.165598 | + | 0.0685930i | ||||
\(254\) | 5.79920 | − | 5.79920i | 0.363874 | − | 0.363874i | ||||
\(255\) | −30.0333 | + | 41.4001i | −1.88076 | + | 2.59257i | ||||
\(256\) | 16.9412 | 1.05882 | ||||||||
\(257\) | −1.67389 | − | 0.693348i | −0.104414 | − | 0.0432499i | 0.329865 | − | 0.944028i | \(-0.392997\pi\) |
−0.434279 | + | 0.900778i | \(0.642997\pi\) | |||||||
\(258\) | 4.54083 | + | 22.8283i | 0.282700 | + | 1.42123i | ||||
\(259\) | −0.118321 | + | 0.118321i | −0.00735212 | + | 0.00735212i | ||||
\(260\) | −12.1879 | − | 5.34846i | −0.755860 | − | 0.331697i | ||||
\(261\) | −20.4110 | + | 13.6382i | −1.26341 | + | 0.844185i | ||||
\(262\) | 9.19386 | − | 6.14314i | 0.567999 | − | 0.379525i | ||||
\(263\) | −22.0511 | + | 9.13386i | −1.35973 | + | 0.563218i | −0.938984 | − | 0.343961i | \(-0.888231\pi\) |
−0.420744 | + | 0.907179i | \(0.638231\pi\) | |||||||
\(264\) | 15.7075 | − | 6.50625i | 0.966729 | − | 0.400432i | ||||
\(265\) | −19.6794 | − | 29.4523i | −1.20890 | − | 1.80924i | ||||
\(266\) | 0.0683183 | + | 0.0135894i | 0.00418887 | + | 0.000833217i | ||||
\(267\) | −19.6072 | + | 29.3442i | −1.19994 | + | 1.79584i | ||||
\(268\) | −6.49571 | −0.396789 | ||||||||
\(269\) | −14.1843 | + | 21.2283i | −0.864834 | + | 1.29432i | 0.0896259 | + | 0.995976i | \(0.471433\pi\) |
−0.954460 | + | 0.298340i | \(0.903567\pi\) | |||||||
\(270\) | −22.9378 | + | 55.3768i | −1.39595 | + | 3.37013i | ||||
\(271\) | −8.54957 | + | 8.54957i | −0.519350 | + | 0.519350i | −0.917375 | − | 0.398025i | \(-0.869696\pi\) |
0.398025 | + | 0.917375i | \(0.369696\pi\) | |||||||
\(272\) | −2.35483 | − | 3.83651i | −0.142782 | − | 0.232623i | ||||
\(273\) | −0.266187 | − | 0.185995i | −0.0161104 | − | 0.0112569i | ||||
\(274\) | −3.79294 | + | 9.15697i | −0.229140 | + | 0.553193i | ||||
\(275\) | 15.6519 | − | 3.11335i | 0.943844 | − | 0.187742i | ||||
\(276\) | −3.75905 | − | 3.75905i | −0.226268 | − | 0.226268i | ||||
\(277\) | −2.27420 | − | 11.4332i | −0.136644 | − | 0.686954i | −0.986997 | − | 0.160741i | \(-0.948612\pi\) |
0.850353 | − | 0.526213i | \(-0.176388\pi\) | |||||||
\(278\) | −0.638621 | + | 3.21057i | −0.0383020 | + | 0.192557i | ||||
\(279\) | 12.4125 | − | 8.29377i | 0.743117 | − | 0.496535i | ||||
\(280\) | 0.288388 | + | 0.119454i | 0.0172345 | + | 0.00713875i | ||||
\(281\) | −9.26089 | + | 22.3578i | −0.552458 | + | 1.33375i | 0.363169 | + | 0.931723i | \(0.381695\pi\) |
−0.915627 | + | 0.402029i | \(0.868305\pi\) | |||||||
\(282\) | −1.82988 | + | 9.19940i | −0.108967 | + | 0.547817i | ||||
\(283\) | 9.13254 | − | 6.10217i | 0.542873 | − | 0.362736i | −0.253696 | − | 0.967284i | \(-0.581646\pi\) |
0.796569 | + | 0.604548i | \(0.206646\pi\) | |||||||
\(284\) | 1.21631 | − | 1.82034i | 0.0721749 | − | 0.108017i | ||||
\(285\) | 22.0184 | + | 22.0184i | 1.30426 | + | 1.30426i | ||||
\(286\) | 2.52059 | − | 5.74383i | 0.149046 | − | 0.339640i | ||||
\(287\) | −0.0402723 | − | 0.0166813i | −0.00237720 | − | 0.000984669i | ||||
\(288\) | 27.0445 | + | 27.0445i | 1.59361 | + | 1.59361i | ||||
\(289\) | 7.69597 | − | 15.1582i | 0.452704 | − | 0.891661i | ||||
\(290\) | − | 12.0641i | − | 0.708429i | ||||||
\(291\) | −15.6681 | − | 37.8261i | −0.918480 | − | 2.21741i | ||||
\(292\) | 8.65319 | − | 1.72123i | 0.506390 | − | 0.100727i | ||||
\(293\) | 8.13539i | 0.475274i | 0.971354 | + | 0.237637i | \(0.0763729\pi\) | ||||
−0.971354 | + | 0.237637i | \(0.923627\pi\) | |||||||
\(294\) | −19.3243 | − | 12.9121i | −1.12702 | − | 0.753048i | ||||
\(295\) | −30.4834 | + | 20.3683i | −1.77481 | + | 1.18589i | ||||
\(296\) | 3.58291 | − | 18.0125i | 0.208252 | − | 1.04696i | ||||
\(297\) | 24.9202 | + | 10.3223i | 1.44601 | + | 0.598959i | ||||
\(298\) | −1.79273 | + | 0.742574i | −0.103850 | + | 0.0430161i | ||||
\(299\) | −5.97530 | − | 0.124487i | −0.345561 | − | 0.00719928i | ||||
\(300\) | 16.5319 | + | 24.7418i | 0.954472 | + | 1.42847i | ||||
\(301\) | 0.159896 | + | 0.106839i | 0.00921628 | + | 0.00615812i | ||||
\(302\) | −10.9120 | + | 10.9120i | −0.627915 | + | 0.627915i | ||||
\(303\) | 18.3266 | + | 12.2455i | 1.05284 | + | 0.703483i | ||||
\(304\) | −2.53199 | + | 1.04879i | −0.145220 | + | 0.0601520i | ||||
\(305\) | −29.9217 | − | 29.9217i | −1.71331 | − | 1.71331i | ||||
\(306\) | 7.54876 | − | 31.5431i | 0.431534 | − | 1.80320i | ||||
\(307\) | −2.75644 | − | 2.75644i | −0.157318 | − | 0.157318i | 0.624059 | − | 0.781377i | \(-0.285482\pi\) |
−0.781377 | + | 0.624059i | \(0.785482\pi\) | |||||||
\(308\) | 0.0176407 | − | 0.0425884i | 0.00100517 | − | 0.00242670i | ||||
\(309\) | −30.0722 | + | 45.0063i | −1.71075 | + | 2.56032i | ||||
\(310\) | 7.33651i | 0.416686i | ||||||||
\(311\) | −4.39843 | − | 22.1124i | −0.249412 | − | 1.25388i | −0.878952 | − | 0.476910i | \(-0.841757\pi\) |
0.629540 | − | 0.776968i | \(-0.283243\pi\) | |||||||
\(312\) | 35.6329 | + | 0.742362i | 2.01731 | + | 0.0420280i | ||||
\(313\) | −4.82306 | − | 0.959367i | −0.272616 | − | 0.0542266i | 0.0568892 | − | 0.998380i | \(-0.481882\pi\) |
−0.329505 | + | 0.944154i | \(0.606882\pi\) | |||||||
\(314\) | −5.65851 | + | 13.6608i | −0.319328 | + | 0.770926i | ||||
\(315\) | 0.308531 | + | 0.744859i | 0.0173837 | + | 0.0419680i | ||||
\(316\) | 10.7501 | + | 2.13833i | 0.604742 | + | 0.120291i | ||||
\(317\) | 31.9186 | + | 6.34901i | 1.79273 | + | 0.356596i | 0.975548 | − | 0.219786i | \(-0.0705361\pi\) |
0.817180 | + | 0.576382i | \(0.195536\pi\) | |||||||
\(318\) | 25.8812 | + | 17.2933i | 1.45135 | + | 0.969759i | ||||
\(319\) | −5.42898 | −0.303964 | ||||||||
\(320\) | −26.5275 | + | 5.27665i | −1.48293 | + | 0.294974i | ||||
\(321\) | 24.0288 | + | 9.95307i | 1.34116 | + | 0.555526i | ||||
\(322\) | 0.0459978 | 0.00256335 | ||||||||
\(323\) | −8.37758 | − | 6.07744i | −0.466141 | − | 0.338158i | ||||
\(324\) | 27.5025i | 1.52792i | ||||||||
\(325\) | 32.6680 | + | 7.20854i | 1.81209 | + | 0.399858i | ||||
\(326\) | 4.90633 | + | 3.27830i | 0.271736 | + | 0.181568i | ||||
\(327\) | −32.7981 | −1.81374 | ||||||||
\(328\) | 4.69232 | − | 0.933361i | 0.259090 | − | 0.0515363i | ||||
\(329\) | 0.0430544 | + | 0.0644355i | 0.00237367 | + | 0.00355245i | ||||
\(330\) | −17.9437 | + | 11.9896i | −0.987766 | + | 0.660004i | ||||
\(331\) | 8.51150 | − | 20.5486i | 0.467834 | − | 1.12945i | −0.497272 | − | 0.867595i | \(-0.665665\pi\) |
0.965107 | − | 0.261857i | \(-0.0843350\pi\) | |||||||
\(332\) | 2.12689 | − | 5.13476i | 0.116728 | − | 0.281806i | ||||
\(333\) | 39.4406 | − | 26.3534i | 2.16133 | − | 1.44415i | ||||
\(334\) | 13.6318 | + | 20.4014i | 0.745897 | + | 1.11631i | ||||
\(335\) | 24.6423 | − | 4.90167i | 1.34635 | − | 0.267807i | ||||
\(336\) | −0.0983307 | −0.00536438 | ||||||||
\(337\) | 5.99621 | + | 4.00654i | 0.326634 | + | 0.218250i | 0.708065 | − | 0.706147i | \(-0.249568\pi\) |
−0.381431 | + | 0.924397i | \(0.624568\pi\) | |||||||
\(338\) | 9.67704 | − | 8.90255i | 0.526362 | − | 0.484235i | ||||
\(339\) | 5.77793i | 0.313814i | ||||||||
\(340\) | −10.3396 | − | 11.1692i | −0.560745 | − | 0.605733i | ||||
\(341\) | 3.30151 | 0.178787 | ||||||||
\(342\) | −18.2431 | − | 7.55653i | −0.986473 | − | 0.408610i | ||||
\(343\) | −0.376685 | + | 0.0749273i | −0.0203391 | + | 0.00404569i | ||||
\(344\) | −21.1064 | −1.13798 | ||||||||
\(345\) | 17.0970 | + | 11.4239i | 0.920473 | + | 0.615040i | ||||
\(346\) | −1.94906 | − | 0.387691i | −0.104782 | − | 0.0208424i | ||||
\(347\) | −4.74312 | − | 0.943464i | −0.254624 | − | 0.0506478i | 0.0661279 | − | 0.997811i | \(-0.478935\pi\) |
−0.320752 | + | 0.947163i | \(0.603935\pi\) | |||||||
\(348\) | −3.87391 | − | 9.35245i | −0.207664 | − | 0.501344i | ||||
\(349\) | −3.01336 | + | 7.27489i | −0.161301 | + | 0.389416i | −0.983780 | − | 0.179380i | \(-0.942591\pi\) |
0.822478 | + | 0.568796i | \(0.192591\pi\) | |||||||
\(350\) | −0.252524 | − | 0.0502302i | −0.0134980 | − | 0.00268492i | ||||
\(351\) | 39.1414 | + | 40.8070i | 2.08921 | + | 2.17812i | ||||
\(352\) | 1.65017 | + | 8.29595i | 0.0879542 | + | 0.442176i | ||||
\(353\) | 6.51071i | 0.346530i | 0.984875 | + | 0.173265i | \(0.0554317\pi\) | ||||
−0.984875 | + | 0.173265i | \(0.944568\pi\) | |||||||
\(354\) | 17.8987 | − | 26.7873i | 0.951305 | − | 1.42373i | ||||
\(355\) | −3.24062 | + | 7.82354i | −0.171994 | + | 0.415230i | ||||
\(356\) | −7.42624 | − | 7.42624i | −0.393590 | − | 0.393590i | ||||
\(357\) | −0.194255 | − | 0.316482i | −0.0102810 | − | 0.0167500i | ||||
\(358\) | 10.8471 | + | 10.8471i | 0.573285 | + | 0.573285i | ||||
\(359\) | −5.41254 | + | 2.24195i | −0.285663 | + | 0.118325i | −0.520914 | − | 0.853609i | \(-0.674409\pi\) |
0.235251 | + | 0.971935i | \(0.424409\pi\) | |||||||
\(360\) | −73.5745 | − | 49.1609i | −3.87772 | − | 2.59101i | ||||
\(361\) | 8.97946 | − | 8.97946i | 0.472603 | − | 0.472603i | ||||
\(362\) | −4.55784 | − | 3.04545i | −0.239555 | − | 0.160065i | ||||
\(363\) | −14.6670 | − | 21.9507i | −0.769816 | − | 1.15211i | ||||
\(364\) | 0.0697390 | − | 0.0668925i | 0.00365532 | − | 0.00350612i | ||||
\(365\) | −31.5282 | + | 13.0594i | −1.65026 | + | 0.683561i | ||||
\(366\) | 34.3544 | + | 14.2301i | 1.79574 | + | 0.743818i | ||||
\(367\) | 3.81801 | − | 19.1945i | 0.199299 | − | 1.00194i | −0.743540 | − | 0.668692i | \(-0.766855\pi\) |
0.942838 | − | 0.333250i | \(-0.108145\pi\) | |||||||
\(368\) | −1.50476 | + | 1.00545i | −0.0784410 | + | 0.0524126i | ||||
\(369\) | 10.2744 | + | 6.86515i | 0.534865 | + | 0.357385i | ||||
\(370\) | 23.3117i | 1.21192i | ||||||||
\(371\) | 0.252235 | − | 0.0501727i | 0.0130954 | − | 0.00260484i | ||||
\(372\) | 2.35583 | + | 5.68748i | 0.122144 | + | 0.294882i | ||||
\(373\) | − | 6.31710i | − | 0.327087i | −0.986536 | − | 0.163543i | \(-0.947708\pi\) | ||
0.986536 | − | 0.163543i | \(-0.0522924\pi\) | |||||||
\(374\) | 5.26374 | − | 4.87280i | 0.272181 | − | 0.251966i | ||||
\(375\) | −37.5285 | − | 37.5285i | −1.93797 | − | 1.93797i | ||||
\(376\) | −7.85809 | − | 3.25493i | −0.405250 | − | 0.167860i | ||||
\(377\) | −10.4215 | − | 4.57329i | −0.536733 | − | 0.235537i | ||||
\(378\) | −0.307721 | − | 0.307721i | −0.0158275 | − | 0.0158275i | ||||
\(379\) | 6.24153 | − | 9.34111i | 0.320606 | − | 0.479821i | −0.635803 | − | 0.771851i | \(-0.719331\pi\) |
0.956409 | + | 0.292031i | \(0.0943309\pi\) | |||||||
\(380\) | −7.70468 | + | 5.14810i | −0.395242 | + | 0.264092i | ||||
\(381\) | −5.19296 | + | 26.1068i | −0.266043 | + | 1.33749i | ||||
\(382\) | −1.24013 | + | 2.99395i | −0.0634508 | + | 0.153184i | ||||
\(383\) | 26.4209 | + | 10.9439i | 1.35004 | + | 0.559206i | 0.936304 | − | 0.351189i | \(-0.114223\pi\) |
0.413739 | + | 0.910396i | \(0.364223\pi\) | |||||||
\(384\) | −7.08522 | + | 4.73419i | −0.361566 | + | 0.241591i | ||||
\(385\) | −0.0347851 | + | 0.174877i | −0.00177281 | + | 0.00891254i | ||||
\(386\) | −3.84792 | − | 19.3448i | −0.195854 | − | 0.984625i | ||||
\(387\) | −38.5476 | − | 38.5476i | −1.95948 | − | 1.95948i | ||||
\(388\) | 11.9497 | − | 2.37695i | 0.606656 | − | 0.120671i | ||||
\(389\) | −1.54851 | + | 3.73843i | −0.0785126 | + | 0.189546i | −0.958262 | − | 0.285892i | \(-0.907710\pi\) |
0.879749 | + | 0.475438i | \(0.157710\pi\) | |||||||
\(390\) | −44.5445 | + | 7.89969i | −2.25560 | + | 0.400016i | ||||
\(391\) | −6.20877 | − | 2.85685i | −0.313991 | − | 0.144477i | ||||
\(392\) | 14.9025 | − | 14.9025i | 0.752688 | − | 0.752688i | ||||
\(393\) | −13.7337 | + | 33.1561i | −0.692774 | + | 1.67250i | ||||
\(394\) | −4.02827 | + | 6.02874i | −0.202941 | + | 0.303723i | ||||
\(395\) | −42.3956 | −2.13315 | ||||||||
\(396\) | −7.25997 | + | 10.8653i | −0.364827 | + | 0.546002i | ||||
\(397\) | 26.2703 | + | 5.22548i | 1.31847 | + | 0.262259i | 0.803682 | − | 0.595060i | \(-0.202872\pi\) |
0.514786 | + | 0.857319i | \(0.327872\pi\) | |||||||
\(398\) | 4.98212 | + | 7.45627i | 0.249731 | + | 0.373749i | ||||
\(399\) | −0.208870 | + | 0.0865166i | −0.0104566 | + | 0.00433125i | ||||
\(400\) | 9.35898 | − | 3.87661i | 0.467949 | − | 0.193831i | ||||
\(401\) | −10.3852 | + | 6.93917i | −0.518612 | + | 0.346526i | −0.787168 | − | 0.616738i | \(-0.788454\pi\) |
0.268556 | + | 0.963264i | \(0.413454\pi\) | |||||||
\(402\) | −18.3578 | + | 12.2663i | −0.915603 | + | 0.611786i | ||||
\(403\) | 6.33757 | + | 2.78114i | 0.315697 | + | 0.138539i | ||||
\(404\) | −4.63798 | + | 4.63798i | −0.230748 | + | 0.230748i | ||||
\(405\) | −20.7534 | − | 104.334i | −1.03124 | − | 5.18442i | ||||
\(406\) | 0.0809225 | + | 0.0335192i | 0.00401612 | + | 0.00166353i | ||||
\(407\) | 10.4905 | 0.519995 | ||||||||
\(408\) | 37.0251 | + | 17.0364i | 1.83302 | + | 0.843429i | ||||
\(409\) | 5.06596 | − | 5.06596i | 0.250496 | − | 0.250496i | −0.570678 | − | 0.821174i | \(-0.693320\pi\) |
0.821174 | + | 0.570678i | \(0.193320\pi\) | |||||||
\(410\) | −5.61051 | + | 2.32395i | −0.277083 | + | 0.114772i | ||||
\(411\) | −6.27579 | − | 31.5505i | −0.309562 | − | 1.55627i | ||||
\(412\) | −11.3899 | − | 11.3899i | −0.561139 | − | 0.561139i | ||||
\(413\) | −0.0519291 | − | 0.261065i | −0.00255527 | − | 0.0128462i | ||||
\(414\) | −12.7888 | − | 2.54385i | −0.628536 | − | 0.125024i | ||||
\(415\) | −4.19393 | + | 21.0843i | −0.205872 | + | 1.03499i | ||||
\(416\) | −3.82073 | + | 17.3150i | −0.187327 | + | 0.848937i | ||||
\(417\) | −4.06578 | − | 9.81566i | −0.199102 | − | 0.480675i | ||||
\(418\) | −2.42617 | − | 3.63102i | −0.118668 | − | 0.177599i | ||||
\(419\) | −4.78489 | − | 7.16109i | −0.233757 | − | 0.349842i | 0.695983 | − | 0.718058i | \(-0.254969\pi\) |
−0.929740 | + | 0.368216i | \(0.879969\pi\) | |||||||
\(420\) | −0.326080 | + | 0.0648613i | −0.0159111 | + | 0.00316491i | ||||
\(421\) | 14.3077i | 0.697316i | 0.937250 | + | 0.348658i | \(0.113363\pi\) | ||||
−0.937250 | + | 0.348658i | \(0.886637\pi\) | |||||||
\(422\) | 0.0658487 | + | 0.331044i | 0.00320546 | + | 0.0161150i | ||||
\(423\) | −8.40694 | − | 20.2962i | −0.408760 | − | 0.986833i | ||||
\(424\) | −19.9590 | + | 19.9590i | −0.969296 | + | 0.969296i | ||||
\(425\) | 30.9659 | + | 22.4640i | 1.50207 | + | 1.08966i | ||||
\(426\) | − | 7.44139i | − | 0.360536i | ||||||
\(427\) | 0.283842 | − | 0.117571i | 0.0137361 | − | 0.00568966i | ||||
\(428\) | −4.29996 | + | 6.43534i | −0.207846 | + | 0.311064i | ||||
\(429\) | 3.55494 | + | 20.0455i | 0.171634 | + | 0.967806i | ||||
\(430\) | 26.2762 | − | 5.22666i | 1.26715 | − | 0.252052i | ||||
\(431\) | −0.542779 | + | 2.72874i | −0.0261448 | + | 0.131439i | −0.991653 | − | 0.128933i | \(-0.958845\pi\) |
0.965509 | + | 0.260371i | \(0.0838449\pi\) | |||||||
\(432\) | 16.7931 | + | 3.34035i | 0.807956 | + | 0.160713i | ||||
\(433\) | 1.16426 | + | 2.81077i | 0.0559508 | + | 0.135077i | 0.949383 | − | 0.314121i | \(-0.101710\pi\) |
−0.893432 | + | 0.449198i | \(0.851710\pi\) | |||||||
\(434\) | −0.0492112 | − | 0.0203839i | −0.00236221 | − | 0.000978460i | ||||
\(435\) | 21.7536 | + | 32.5565i | 1.04300 | + | 1.56097i | ||||
\(436\) | 1.90411 | − | 9.57259i | 0.0911902 | − | 0.458444i | ||||
\(437\) | −2.31169 | + | 3.45970i | −0.110583 | + | 0.165500i | ||||
\(438\) | 21.2048 | − | 21.2048i | 1.01321 | − | 1.01321i | ||||
\(439\) | 9.50822 | + | 6.35319i | 0.453803 | + | 0.303221i | 0.761385 | − | 0.648300i | \(-0.224520\pi\) |
−0.307582 | + | 0.951522i | \(0.599520\pi\) | |||||||
\(440\) | −7.48893 | − | 18.0799i | −0.357021 | − | 0.861925i | ||||
\(441\) | 54.4340 | 2.59209 | ||||||||
\(442\) | 14.2090 | − | 4.91972i | 0.675855 | − | 0.234007i | ||||
\(443\) | −9.29930 | −0.441823 | −0.220911 | − | 0.975294i | \(-0.570903\pi\) | ||||
−0.220911 | + | 0.975294i | \(0.570903\pi\) | |||||||
\(444\) | 7.48563 | + | 18.0719i | 0.355252 | + | 0.857654i | ||||
\(445\) | 33.7763 | + | 22.5686i | 1.60115 | + | 1.06985i | ||||
\(446\) | −12.5667 | + | 12.5667i | −0.595050 | + | 0.595050i | ||||
\(447\) | 3.49893 | − | 5.23652i | 0.165494 | − | 0.247679i | ||||
\(448\) | 0.0383105 | − | 0.192600i | 0.00181000 | − | 0.00909948i | ||||
\(449\) | −2.80464 | − | 4.19745i | −0.132359 | − | 0.198090i | 0.759370 | − | 0.650659i | \(-0.225507\pi\) |
−0.891729 | + | 0.452570i | \(0.850507\pi\) | |||||||
\(450\) | 67.4316 | + | 27.9311i | 3.17876 | + | 1.31668i | ||||
\(451\) | 1.04580 | + | 2.52479i | 0.0492449 | + | 0.118888i | ||||
\(452\) | −1.68637 | − | 0.335441i | −0.0793203 | − | 0.0157778i | ||||
\(453\) | 9.77129 | − | 49.1236i | 0.459095 | − | 2.30803i | ||||
\(454\) | −14.1527 | + | 2.81516i | −0.664221 | + | 0.132122i | ||||
\(455\) | −0.214087 | + | 0.306391i | −0.0100366 | + | 0.0143638i | ||||
\(456\) | 13.7855 | − | 20.6314i | 0.645563 | − | 0.966154i | ||||
\(457\) | −14.0703 | + | 5.82813i | −0.658183 | + | 0.272628i | −0.686674 | − | 0.726966i | \(-0.740930\pi\) |
0.0284908 | + | 0.999594i | \(0.490930\pi\) | |||||||
\(458\) | 0.219901i | 0.0102753i | ||||||||
\(459\) | 22.4240 | + | 60.6482i | 1.04666 | + | 2.83081i | ||||
\(460\) | −4.32680 | + | 4.32680i | −0.201738 | + | 0.201738i | ||||
\(461\) | −6.62437 | − | 15.9926i | −0.308528 | − | 0.744851i | −0.999753 | − | 0.0222125i | \(-0.992929\pi\) |
0.691226 | − | 0.722639i | \(-0.257071\pi\) | |||||||
\(462\) | −0.0305675 | − | 0.153673i | −0.00142213 | − | 0.00714951i | ||||
\(463\) | 15.9161i | 0.739685i | 0.929094 | + | 0.369842i | \(0.120588\pi\) | ||||
−0.929094 | + | 0.369842i | \(0.879412\pi\) | |||||||
\(464\) | −3.37996 | + | 0.672317i | −0.156911 | + | 0.0312115i | ||||
\(465\) | −13.2289 | − | 19.7985i | −0.613477 | − | 0.918133i | ||||
\(466\) | −4.64755 | − | 6.95555i | −0.215294 | − | 0.322210i | ||||
\(467\) | −9.27789 | − | 22.3988i | −0.429329 | − | 1.03649i | −0.979501 | − | 0.201441i | \(-0.935438\pi\) |
0.550171 | − | 0.835052i | \(-0.314562\pi\) | |||||||
\(468\) | −23.0890 | + | 14.7414i | −1.06729 | + | 0.681419i | ||||
\(469\) | −0.0355879 | + | 0.178913i | −0.00164330 | + | 0.00826142i | ||||
\(470\) | 10.5888 | + | 2.10625i | 0.488427 | + | 0.0971542i | ||||
\(471\) | −9.36256 | − | 47.0688i | −0.431404 | − | 2.16881i | ||||
\(472\) | 20.6578 | + | 20.6578i | 0.950850 | + | 0.950850i | ||||
\(473\) | −2.35205 | − | 11.8246i | −0.108147 | − | 0.543694i | ||||
\(474\) | 34.4193 | − | 14.2569i | 1.58093 | − | 0.654843i | ||||
\(475\) | 16.4691 | − | 16.4691i | 0.755652 | − | 0.755652i | ||||
\(476\) | 0.103647 | − | 0.0383226i | 0.00475067 | − | 0.00175651i | ||||
\(477\) | −72.9040 | −3.33804 | ||||||||
\(478\) | −21.7571 | − | 9.01208i | −0.995146 | − | 0.412203i | ||||
\(479\) | −0.133142 | − | 0.669352i | −0.00608343 | − | 0.0305835i | 0.977624 | − | 0.210358i | \(-0.0674631\pi\) |
−0.983708 | + | 0.179775i | \(0.942463\pi\) | |||||||
\(480\) | 43.1371 | − | 43.1371i | 1.96893 | − | 1.96893i | ||||
\(481\) | 20.1376 | + | 8.83705i | 0.918194 | + | 0.402935i | ||||
\(482\) | 0.348211 | − | 0.232667i | 0.0158606 | − | 0.0105977i | ||||
\(483\) | −0.124131 | + | 0.0829416i | −0.00564815 | + | 0.00377397i | ||||
\(484\) | 7.25813 | − | 3.00641i | 0.329915 | − | 0.136655i | ||||
\(485\) | −43.5392 | + | 18.0345i | −1.97702 | + | 0.818907i | ||||
\(486\) | 25.4965 | + | 38.1582i | 1.15655 | + | 1.73089i | ||||
\(487\) | 8.12432 | + | 1.61603i | 0.368148 | + | 0.0732292i | 0.375698 | − | 0.926742i | \(-0.377403\pi\) |
−0.00754962 | + | 0.999972i | \(0.502403\pi\) | |||||||
\(488\) | −18.7336 | + | 28.0369i | −0.848032 | + | 1.26917i | ||||
\(489\) | −19.1517 | −0.866068 | ||||||||
\(490\) | −14.8623 | + | 22.2430i | −0.671409 | + | 1.00484i | ||||
\(491\) | −1.23607 | + | 2.98413i | −0.0557829 | + | 0.134672i | −0.949314 | − | 0.314330i | \(-0.898220\pi\) |
0.893531 | + | 0.449002i | \(0.148220\pi\) | |||||||
\(492\) | −3.60319 | + | 3.60319i | −0.162444 | + | 0.162444i | ||||
\(493\) | −8.84108 | − | 9.55039i | −0.398182 | − | 0.430128i | ||||
\(494\) | −1.59855 | − | 9.01387i | −0.0719223 | − | 0.405553i | ||||
\(495\) | 19.3427 | − | 46.6974i | 0.869389 | − | 2.09889i | ||||
\(496\) | 2.05545 | − | 0.408854i | 0.0922923 | − | 0.0183581i | ||||
\(497\) | −0.0434742 | − | 0.0434742i | −0.00195009 | − | 0.00195009i | ||||
\(498\) | −3.68542 | − | 18.5279i | −0.165148 | − | 0.830254i | ||||
\(499\) | −3.73089 | + | 18.7564i | −0.167017 | + | 0.839653i | 0.802880 | + | 0.596140i | \(0.203300\pi\) |
−0.969898 | + | 0.243513i | \(0.921700\pi\) | |||||||
\(500\) | 13.1320 | − | 8.77452i | 0.587280 | − | 0.392408i | ||||
\(501\) | −73.5741 | − | 30.4754i | −3.28705 | − | 1.36154i | ||||
\(502\) | 11.0870 | − | 26.7665i | 0.494839 | − | 1.19465i | ||||
\(503\) | 1.91418 | − | 9.62326i | 0.0853493 | − | 0.429080i | −0.914358 | − | 0.404906i | \(-0.867304\pi\) |
0.999708 | − | 0.0241742i | \(-0.00769563\pi\) | |||||||
\(504\) | 0.534179 | − | 0.356927i | 0.0237942 | − | 0.0158988i | ||||
\(505\) | 14.0950 | − | 21.0946i | 0.627217 | − | 0.938697i | ||||
\(506\) | −2.03911 | − | 2.03911i | −0.0906494 | − | 0.0906494i | ||||
\(507\) | −10.0620 | + | 41.4740i | −0.446868 | + | 1.84192i | ||||
\(508\) | −7.31817 | − | 3.03128i | −0.324691 | − | 0.134491i | ||||
\(509\) | −7.53255 | − | 7.53255i | −0.333874 | − | 0.333874i | 0.520181 | − | 0.854056i | \(-0.325864\pi\) |
−0.854056 | + | 0.520181i | \(0.825864\pi\) | |||||||
\(510\) | −50.3127 | − | 12.0406i | −2.22788 | − | 0.533167i | ||||
\(511\) | − | 0.247767i | − | 0.0109606i | ||||||
\(512\) | 4.57083 | + | 11.0350i | 0.202004 | + | 0.487681i | ||||
\(513\) | 38.6101 | − | 7.68002i | 1.70468 | − | 0.339081i | ||||
\(514\) | − | 1.83259i | − | 0.0808323i | ||||||
\(515\) | 51.8038 | + | 34.6142i | 2.28275 | + | 1.52528i | ||||
\(516\) | 18.6917 | − | 12.4894i | 0.822858 | − | 0.549816i | ||||
\(517\) | 0.947836 | − | 4.76509i | 0.0416858 | − | 0.209569i | ||||
\(518\) | −0.156368 | − | 0.0647697i | −0.00687041 | − | 0.00284582i | ||||
\(519\) | 5.95885 | − | 2.46824i | 0.261564 | − | 0.108344i | ||||
\(520\) | 0.854485 | − | 41.0147i | 0.0374717 | − | 1.79861i | ||||
\(521\) | 11.0908 | + | 16.5986i | 0.485898 | + | 0.727198i | 0.990704 | − | 0.136035i | \(-0.0434359\pi\) |
−0.504806 | + | 0.863233i | \(0.668436\pi\) | |||||||
\(522\) | −20.6452 | − | 13.7947i | −0.903618 | − | 0.603778i | ||||
\(523\) | −12.9424 | + | 12.9424i | −0.565930 | + | 0.565930i | −0.930986 | − | 0.365056i | \(-0.881050\pi\) |
0.365056 | + | 0.930986i | \(0.381050\pi\) | |||||||
\(524\) | −8.87978 | − | 5.93328i | −0.387915 | − | 0.259196i | ||||
\(525\) | 0.772042 | − | 0.319790i | 0.0336947 | − | 0.0139568i | ||||
\(526\) | −17.0708 | − | 17.0708i | −0.744323 | − | 0.744323i | ||||
\(527\) | 5.37650 | + | 5.80785i | 0.234204 | + | 0.252994i | ||||
\(528\) | 4.35906 | + | 4.35906i | 0.189704 | + | 0.189704i | ||||
\(529\) | 7.75023 | − | 18.7107i | 0.336967 | − | 0.813509i | ||||
\(530\) | 19.9052 | − | 29.7902i | 0.864626 | − | 1.29400i | ||||
\(531\) | 75.4562i | 3.27452i | ||||||||
\(532\) | −0.0131251 | − | 0.0659844i | −0.000569046 | − | 0.00286079i | ||||
\(533\) | −0.119326 | + | 5.72756i | −0.00516858 | + | 0.248088i | ||||
\(534\) | −35.0110 | − | 6.96413i | −1.51508 | − | 0.301367i | ||||
\(535\) | 11.4563 | − | 27.6581i | 0.495301 | − | 1.19576i | ||||
\(536\) | −7.66177 | − | 18.4972i | −0.330938 | − | 0.798956i | ||||
\(537\) | −48.8312 | − | 9.71313i | −2.10722 | − | 0.419153i | ||||
\(538\) | −25.3279 | − | 5.03803i | −1.09196 | − | 0.217205i | ||||
\(539\) | 10.0096 | + | 6.68818i | 0.431143 | + | 0.288081i | ||||
\(540\) | 57.8918 | 2.49127 | ||||||||
\(541\) | 26.0007 | − | 5.17187i | 1.11786 | − | 0.222356i | 0.398618 | − | 0.917117i | \(-0.369490\pi\) |
0.719241 | + | 0.694761i | \(0.244490\pi\) | |||||||
\(542\) | −11.2987 | − | 4.68009i | −0.485322 | − | 0.201027i | ||||
\(543\) | 17.7914 | 0.763500 | ||||||||
\(544\) | −11.9065 | + | 16.4129i | −0.510489 | + | 0.703695i | ||||
\(545\) | 37.7517i | 1.61711i | ||||||||
\(546\) | 0.0707747 | − | 0.320740i | 0.00302888 | − | 0.0137264i | ||||
\(547\) | 37.0008 | + | 24.7231i | 1.58204 | + | 1.05709i | 0.962195 | + | 0.272361i | \(0.0878044\pi\) |
0.619845 | + | 0.784725i | \(0.287196\pi\) | |||||||
\(548\) | 9.57283 | 0.408931 | ||||||||
\(549\) | −85.4189 | + | 16.9909i | −3.64559 | + | 0.725153i | ||||
\(550\) | 8.96781 | + | 13.4213i | 0.382389 | + | 0.572285i | ||||
\(551\) | −6.58803 | + | 4.40198i | −0.280659 | + | 0.187531i | ||||
\(552\) | 6.27040 | − | 15.1381i | 0.266886 | − | 0.644320i | ||||
\(553\) | 0.117793 | − | 0.284378i | 0.00500907 | − | 0.0120930i | ||||
\(554\) | 9.80381 | − | 6.55069i | 0.416524 | − | 0.278312i | ||||
\(555\) | −42.0348 | − | 62.9095i | −1.78428 | − | 2.67036i | ||||
\(556\) | 3.10089 | − | 0.616804i | 0.131507 | − | 0.0261583i | ||||
\(557\) | 26.5161 | 1.12352 | 0.561761 | − | 0.827300i | \(-0.310124\pi\) | ||||
0.561761 | + | 0.827300i | \(0.310124\pi\) | |||||||
\(558\) | 12.5549 | + | 8.38894i | 0.531493 | + | 0.355132i | ||||
\(559\) | 5.44585 | − | 24.6798i | 0.230335 | − | 1.04384i | ||||
\(560\) | 0.113182i | 0.00478282i | ||||||||
\(561\) | −5.41841 | + | 22.6413i | −0.228765 | + | 0.955914i | ||||
\(562\) | −24.4775 | −1.03252 | ||||||||
\(563\) | 17.8679 | + | 7.40114i | 0.753044 | + | 0.311921i | 0.725983 | − | 0.687713i | \(-0.241385\pi\) |
0.0270610 | + | 0.999634i | \(0.491385\pi\) | |||||||
\(564\) | 8.88513 | − | 1.76736i | 0.374131 | − | 0.0744194i | ||||
\(565\) | 6.65061 | 0.279793 | ||||||||
\(566\) | 9.23733 | + | 6.17219i | 0.388274 | + | 0.259436i | ||||
\(567\) | 0.757507 | + | 0.150677i | 0.0318123 | + | 0.00632786i | ||||
\(568\) | 6.61826 | + | 1.31645i | 0.277696 | + | 0.0552371i | ||||
\(569\) | 8.00336 | + | 19.3218i | 0.335518 | + | 0.810013i | 0.998134 | + | 0.0610537i | \(0.0194461\pi\) |
−0.662616 | + | 0.748959i | \(0.730554\pi\) | |||||||
\(570\) | −12.0530 | + | 29.0985i | −0.504845 | + | 1.21880i | ||||
\(571\) | −43.5755 | − | 8.66772i | −1.82358 | − | 0.362733i | −0.839912 | − | 0.542723i | \(-0.817393\pi\) |
−0.983668 | + | 0.179991i | \(0.942393\pi\) | |||||||
\(572\) | −6.05696 | − | 0.126188i | −0.253254 | − | 0.00527620i | ||||
\(573\) | −2.05193 | − | 10.3157i | −0.0857204 | − | 0.430946i | ||||
\(574\) | − | 0.0440906i | − | 0.00184031i | ||||||
\(575\) | 8.54469 | − | 12.7880i | 0.356338 | − | 0.533298i | ||||
\(576\) | −21.3030 | + | 51.4300i | −0.887625 | + | 2.14292i | ||||
\(577\) | 18.0789 | + | 18.0789i | 0.752634 | + | 0.752634i | 0.974970 | − | 0.222336i | \(-0.0713682\pi\) |
−0.222336 | + | 0.974970i | \(0.571368\pi\) | |||||||
\(578\) | 17.1440 | + | 1.32437i | 0.713096 | + | 0.0550864i | ||||
\(579\) | 45.2660 | + | 45.2660i | 1.88119 | + | 1.88119i | ||||
\(580\) | −10.7650 | + | 4.45901i | −0.446993 | + | 0.185150i | ||||
\(581\) | −0.129775 | − | 0.0867130i | −0.00538398 | − | 0.00359746i | ||||
\(582\) | 29.2831 | − | 29.2831i | 1.21382 | − | 1.21382i | ||||
\(583\) | −13.4059 | − | 8.95755i | −0.555217 | − | 0.370984i | ||||
\(584\) | 15.1079 | + | 22.6106i | 0.625170 | + | 0.935633i | ||||
\(585\) | 76.4674 | − | 73.3463i | 3.16154 | − | 3.03250i | ||||
\(586\) | −7.60236 | + | 3.14900i | −0.314051 | + | 0.130084i | ||||
\(587\) | 9.95598 | + | 4.12390i | 0.410927 | + | 0.170212i | 0.578564 | − | 0.815637i | \(-0.303613\pi\) |
−0.167636 | + | 0.985849i | \(0.553613\pi\) | |||||||
\(588\) | −4.37923 | + | 22.0159i | −0.180596 | + | 0.907919i | ||||
\(589\) | 4.00636 | − | 2.67696i | 0.165079 | − | 0.110302i | ||||
\(590\) | −30.8331 | − | 20.6020i | −1.26938 | − | 0.848172i | ||||
\(591\) | − | 23.5330i | − | 0.968016i | ||||||
\(592\) | 6.53116 | − | 1.29913i | 0.268429 | − | 0.0533938i | ||||
\(593\) | −2.73872 | − | 6.61186i | −0.112466 | − | 0.271517i | 0.857618 | − | 0.514288i | \(-0.171944\pi\) |
−0.970084 | + | 0.242771i | \(0.921944\pi\) | |||||||
\(594\) | 27.2829i | 1.11943i | ||||||||
\(595\) | −0.364282 | + | 0.223594i | −0.0149341 | + | 0.00916646i | ||||
\(596\) | 1.32522 | + | 1.32522i | 0.0542832 | + | 0.0542832i | ||||
\(597\) | −26.8898 | − | 11.1381i | −1.10053 | − | 0.455853i | ||||
\(598\) | −2.19656 | − | 5.63199i | −0.0898238 | − | 0.230309i | ||||
\(599\) | −18.1962 | − | 18.1962i | −0.743477 | − | 0.743477i | 0.229768 | − | 0.973245i | \(-0.426203\pi\) |
−0.973245 | + | 0.229768i | \(0.926203\pi\) | |||||||
\(600\) | −50.9550 | + | 76.2596i | −2.08023 | + | 3.11328i | ||||
\(601\) | −18.7583 | + | 12.5339i | −0.765165 | + | 0.511267i | −0.875847 | − | 0.482589i | \(-0.839697\pi\) |
0.110682 | + | 0.993856i | \(0.464697\pi\) | |||||||
\(602\) | −0.0379475 | + | 0.190775i | −0.00154662 | + | 0.00777541i | ||||
\(603\) | 19.7891 | − | 47.7751i | 0.805875 | − | 1.94555i | ||||
\(604\) | 13.7702 | + | 5.70379i | 0.560300 | + | 0.232084i | ||||
\(605\) | −25.2660 | + | 16.8822i | −1.02721 | + | 0.686360i | ||||
\(606\) | −4.34937 | + | 21.8658i | −0.176681 | + | 0.888236i | ||||
\(607\) | −4.67684 | − | 23.5121i | −0.189827 | − | 0.954326i | −0.951801 | − | 0.306717i | \(-0.900769\pi\) |
0.761973 | − | 0.647608i | \(-0.224231\pi\) | |||||||
\(608\) | 8.72908 | + | 8.72908i | 0.354011 | + | 0.354011i | ||||
\(609\) | −0.278820 | + | 0.0554608i | −0.0112984 | + | 0.00224739i | ||||
\(610\) | 16.3793 | − | 39.5432i | 0.663180 | − | 1.60106i | ||||
\(611\) | 5.83352 | − | 8.34863i | 0.235999 | − | 0.337749i | ||||
\(612\) | −30.9366 | + | 4.92276i | −1.25054 | + | 0.198991i | ||||
\(613\) | 29.9322 | − | 29.9322i | 1.20895 | − | 1.20895i | 0.237581 | − | 0.971368i | \(-0.423645\pi\) |
0.971368 | − | 0.237581i | \(-0.0763546\pi\) | |||||||
\(614\) | 1.50889 | − | 3.64278i | 0.0608939 | − | 0.147011i | ||||
\(615\) | 10.9502 | − | 16.3882i | 0.441555 | − | 0.660834i | ||||
\(616\) | 0.142082 | 0.00572465 | ||||||||
\(617\) | −24.7635 | + | 37.0611i | −0.996940 | + | 1.49203i | −0.131309 | + | 0.991341i | \(0.541918\pi\) |
−0.865630 | + | 0.500684i | \(0.833082\pi\) | |||||||
\(618\) | −53.6977 | − | 10.6811i | −2.16004 | − | 0.429658i | ||||
\(619\) | −23.1341 | − | 34.6226i | −0.929837 | − | 1.39160i | −0.920116 | − | 0.391647i | \(-0.871905\pi\) |
−0.00972168 | − | 0.999953i | \(-0.503095\pi\) | |||||||
\(620\) | 6.54649 | − | 2.71165i | 0.262914 | − | 0.108902i | ||||
\(621\) | 24.0168 | − | 9.94809i | 0.963762 | − | 0.399203i | ||||
\(622\) | 18.9611 | − | 12.6694i | 0.760270 | − | 0.507996i | ||||
\(623\) | −0.245228 | + | 0.163856i | −0.00982486 | + | 0.00656476i | ||||
\(624\) | 4.69564 | + | 12.0397i | 0.187976 | + | 0.481972i | ||||
\(625\) | −10.3925 | + | 10.3925i | −0.415699 | + | 0.415699i | ||||
\(626\) | −0.970375 | − | 4.87840i | −0.0387840 | − | 0.194980i | ||||
\(627\) | 13.0946 | + | 5.42398i | 0.522950 | + | 0.216613i | ||||
\(628\) | 14.2813 | 0.569884 | ||||||||
\(629\) | 17.0838 | + | 18.4544i | 0.681174 | + | 0.735824i | ||||
\(630\) | −0.576632 | + | 0.576632i | −0.0229736 | + | 0.0229736i | ||||
\(631\) | 33.2207 | − | 13.7605i | 1.32250 | − | 0.547796i | 0.393991 | − | 0.919114i | \(-0.371094\pi\) |
0.928506 | + | 0.371318i | \(0.121094\pi\) | |||||||
\(632\) | 6.59080 | + | 33.1342i | 0.262168 | + | 1.31801i | ||||
\(633\) | −0.774628 | − | 0.774628i | −0.0307887 | − | 0.0307887i | ||||
\(634\) | 6.42186 | + | 32.2849i | 0.255045 | + | 1.28220i | ||||
\(635\) | 30.0498 | + | 5.97728i | 1.19249 | + | 0.237201i | ||||
\(636\) | 5.86514 | − | 29.4861i | 0.232568 | − | 1.16920i | ||||
\(637\) | 13.5804 | + | 21.2706i | 0.538073 | + | 0.842771i | ||||
\(638\) | −2.10142 | − | 5.07327i | −0.0831959 | − | 0.200853i | ||||
\(639\) | 9.68290 | + | 14.4915i | 0.383050 | + | 0.573274i | ||||
\(640\) | 5.44922 | + | 8.15534i | 0.215400 | + | 0.322368i | ||||
\(641\) | −32.5026 | + | 6.46517i | −1.28378 | + | 0.255359i | −0.789395 | − | 0.613886i | \(-0.789605\pi\) |
−0.494381 | + | 0.869245i | \(0.664605\pi\) | |||||||
\(642\) | 26.3071i | 1.03826i | ||||||||
\(643\) | 0.0334796 | + | 0.168313i | 0.00132030 | + | 0.00663762i | 0.981440 | − | 0.191770i | \(-0.0614229\pi\) |
−0.980120 | + | 0.198408i | \(0.936423\pi\) | |||||||
\(644\) | −0.0170012 | − | 0.0410446i | −0.000669942 | − | 0.00161738i | ||||
\(645\) | −61.4851 | + | 61.4851i | −2.42097 | + | 2.42097i | ||||
\(646\) | 2.43650 | − | 10.1811i | 0.0958627 | − | 0.400570i | ||||
\(647\) | 14.0547i | 0.552546i | 0.961079 | + | 0.276273i | \(0.0890994\pi\) | ||||
−0.961079 | + | 0.276273i | \(0.910901\pi\) | |||||||
\(648\) | −78.3160 | + | 32.4395i | −3.07654 | + | 1.27435i | ||||
\(649\) | −9.27114 | + | 13.8752i | −0.363924 | + | 0.544651i | ||||
\(650\) | 5.90871 | + | 33.3178i | 0.231759 | + | 1.30683i | ||||
\(651\) | 0.169558 | − | 0.0337272i | 0.00664551 | − | 0.00132187i | ||||
\(652\) | 1.11186 | − | 5.58969i | 0.0435438 | − | 0.218909i | ||||
\(653\) | 31.5455 | + | 6.27480i | 1.23447 | + | 0.245552i | 0.768848 | − | 0.639431i | \(-0.220830\pi\) |
0.465623 | + | 0.884983i | \(0.345830\pi\) | |||||||
\(654\) | −12.6953 | − | 30.6491i | −0.496425 | − | 1.19848i | ||||
\(655\) | 38.1639 | + | 15.8080i | 1.49119 | + | 0.617669i | ||||
\(656\) | 0.963761 | + | 1.44237i | 0.0376285 | + | 0.0563151i | ||||
\(657\) | −13.7024 | + | 68.8869i | −0.534583 | + | 2.68753i | ||||
\(658\) | −0.0435485 | + | 0.0651749i | −0.00169770 | + | 0.00254078i | ||||
\(659\) | 12.6949 | − | 12.6949i | 0.494524 | − | 0.494524i | −0.415204 | − | 0.909728i | \(-0.636290\pi\) |
0.909728 | + | 0.415204i | \(0.136290\pi\) | |||||||
\(660\) | 17.3307 | + | 11.5800i | 0.674595 | + | 0.450750i | ||||
\(661\) | 4.32109 | + | 10.4320i | 0.168071 | + | 0.405759i | 0.985364 | − | 0.170463i | \(-0.0545263\pi\) |
−0.817293 | + | 0.576222i | \(0.804526\pi\) | |||||||
\(662\) | 22.4968 | 0.874364 | ||||||||
\(663\) | −29.4738 | + | 38.8978i | −1.14467 | + | 1.51066i | ||||
\(664\) | 17.1304 | 0.664789 | ||||||||
\(665\) | 0.0995837 | + | 0.240416i | 0.00386169 | + | 0.00932295i | ||||
\(666\) | 39.8931 | + | 26.6557i | 1.54583 | + | 1.03289i | ||||
\(667\) | −3.69971 | + | 3.69971i | −0.143253 | + | 0.143253i | ||||
\(668\) | 13.1661 | − | 19.7044i | 0.509411 | − | 0.762387i | ||||
\(669\) | 11.2530 | − | 56.5726i | 0.435066 | − | 2.18722i | ||||
\(670\) | 14.1189 | + | 21.1305i | 0.545462 | + | 0.816341i | ||||
\(671\) | −17.7949 | − | 7.37087i | −0.686963 | − | 0.284549i | ||||
\(672\) | 0.169498 | + | 0.409205i | 0.00653853 | + | 0.0157854i | ||||
\(673\) | −0.287284 | − | 0.0571443i | −0.0110740 | − | 0.00220275i | 0.189550 | − | 0.981871i | \(-0.439297\pi\) |
−0.200624 | + | 0.979668i | \(0.564297\pi\) | |||||||
\(674\) | −1.42305 | + | 7.15417i | −0.0548139 | + | 0.275568i | ||||
\(675\) | −142.714 | + | 28.3876i | −5.49306 | + | 1.09264i | ||||
\(676\) | −11.5206 | − | 5.34453i | −0.443101 | − | 0.205559i | ||||
\(677\) | −8.37327 | + | 12.5315i | −0.321811 | + | 0.481624i | −0.956739 | − | 0.290947i | \(-0.906030\pi\) |
0.634928 | + | 0.772571i | \(0.281030\pi\) | |||||||
\(678\) | −5.39936 | + | 2.23649i | −0.207361 | + | 0.0858918i | ||||
\(679\) | − | 0.342156i | − | 0.0131308i | ||||||
\(680\) | 19.6095 | − | 42.6172i | 0.751992 | − | 1.63430i | ||||
\(681\) | 33.1168 | − | 33.1168i | 1.26904 | − | 1.26904i | ||||
\(682\) | 1.27793 | + | 3.08519i | 0.0489344 | + | 0.118138i | ||||
\(683\) | −9.27246 | − | 46.6158i | −0.354801 | − | 1.78370i | −0.585494 | − | 0.810677i | \(-0.699099\pi\) |
0.230693 | − | 0.973027i | \(-0.425901\pi\) | |||||||
\(684\) | 19.0716i | 0.729220i | ||||||||
\(685\) | −36.3158 | + | 7.22366i | −1.38756 | + | 0.276002i | ||||
\(686\) | −0.215823 | − | 0.323002i | −0.00824016 | − | 0.0123323i | ||||
\(687\) | −0.396518 | − | 0.593430i | −0.0151281 | − | 0.0226408i | ||||
\(688\) | −2.92867 | − | 7.07044i | −0.111655 | − | 0.269558i | ||||
\(689\) | −18.1883 | − | 28.4879i | −0.692919 | − | 1.08530i | ||||
\(690\) | −4.05756 | + | 20.3987i | −0.154469 | + | 0.776566i | ||||
\(691\) | −15.0233 | − | 2.98832i | −0.571514 | − | 0.113681i | −0.0991307 | − | 0.995074i | \(-0.531606\pi\) |
−0.472383 | + | 0.881393i | \(0.656606\pi\) | |||||||
\(692\) | 0.374447 | + | 1.88247i | 0.0142343 | + | 0.0715608i | ||||
\(693\) | 0.259490 | + | 0.259490i | 0.00985722 | + | 0.00985722i | ||||
\(694\) | −0.954290 | − | 4.79754i | −0.0362243 | − | 0.182112i | ||||
\(695\) | −11.2982 | + | 4.67986i | −0.428564 | + | 0.177517i | ||||
\(696\) | 22.0627 | − | 22.0627i | 0.836284 | − | 0.836284i | ||||
\(697\) | −2.73840 | + | 5.95135i | −0.103724 | + | 0.225423i | ||||
\(698\) | −7.96464 | −0.301466 | ||||||||
\(699\) | 25.0840 | + | 10.3901i | 0.948764 | + | 0.392991i | ||||
\(700\) | 0.0485142 | + | 0.243897i | 0.00183366 | + | 0.00921845i | ||||
\(701\) | 0.174265 | − | 0.174265i | 0.00658189 | − | 0.00658189i | −0.703808 | − | 0.710390i | \(-0.748519\pi\) |
0.710390 | + | 0.703808i | \(0.248519\pi\) | |||||||
\(702\) | −22.9827 | + | 52.3722i | −0.867427 | + | 1.97666i | ||||
\(703\) | 12.7301 | − | 8.50601i | 0.480127 | − | 0.320810i | ||||
\(704\) | −10.2364 | + | 6.83973i | −0.385798 | + | 0.257782i | ||||
\(705\) | −32.3733 | + | 13.4094i | −1.21925 | + | 0.505029i | ||||
\(706\) | −6.08413 | + | 2.52013i | −0.228979 | + | 0.0948463i | ||||
\(707\) | 0.102335 | + | 0.153155i | 0.00384869 | + | 0.00575997i | ||||
\(708\) | −30.5183 | − | 6.07047i | −1.14695 | − | 0.228142i | ||||
\(709\) | 3.81752 | − | 5.71332i | 0.143370 | − | 0.214568i | −0.752834 | − | 0.658210i | \(-0.771314\pi\) |
0.896204 | + | 0.443642i | \(0.146314\pi\) | |||||||
\(710\) | −8.56530 | −0.321450 | ||||||||
\(711\) | −48.4773 | + | 72.5514i | −1.81804 | + | 2.72089i | ||||
\(712\) | 12.3876 | − | 29.9063i | 0.464244 | − | 1.12078i | ||||
\(713\) | 2.24989 | − | 2.24989i | 0.0842591 | − | 0.0842591i | ||||
\(714\) | 0.220555 | − | 0.304029i | 0.00825407 | − | 0.0113780i | ||||
\(715\) | 23.0731 | − | 4.09187i | 0.862884 | − | 0.153027i | ||||
\(716\) | 5.66984 | − | 13.6882i | 0.211892 | − | 0.511552i | ||||
\(717\) | 74.9646 | − | 14.9114i | 2.79960 | − | 0.556876i | ||||
\(718\) | −4.19011 | − | 4.19011i | −0.156374 | − | 0.156374i | ||||
\(719\) | −4.24132 | − | 21.3226i | −0.158175 | − | 0.795198i | −0.975667 | − | 0.219258i | \(-0.929636\pi\) |
0.817492 | − | 0.575940i | \(-0.195364\pi\) | |||||||
\(720\) | 6.25941 | − | 31.4682i | 0.233274 | − | 1.17275i | ||||
\(721\) | −0.376115 | + | 0.251312i | −0.0140073 | + | 0.00935936i | ||||
\(722\) | 11.8668 | + | 4.91541i | 0.441638 | + | 0.182933i | ||||
\(723\) | −0.520155 | + | 1.25577i | −0.0193448 | + | 0.0467024i | ||||
\(724\) | −1.03289 | + | 5.19267i | −0.0383869 | + | 0.192984i | ||||
\(725\) | 24.3512 | − | 16.2710i | 0.904382 | − | 0.604289i | ||||
\(726\) | 14.8353 | − | 22.2025i | 0.550588 | − | 0.824014i | ||||
\(727\) | 11.8493 | + | 11.8493i | 0.439468 | + | 0.439468i | 0.891833 | − | 0.452365i | \(-0.149420\pi\) |
−0.452365 | + | 0.891833i | \(0.649420\pi\) | |||||||
\(728\) | 0.272741 | + | 0.119688i | 0.0101084 | + | 0.00443593i | ||||
\(729\) | −59.5834 | − | 24.6802i | −2.20679 | − | 0.914083i | ||||
\(730\) | −24.4075 | − | 24.4075i | −0.903363 | − | 0.903363i | ||||
\(731\) | 16.9709 | − | 23.3939i | 0.627691 | − | 0.865255i | ||||
\(732\) | − | 35.9146i | − | 1.32744i | ||||||
\(733\) | −7.82792 | − | 18.8983i | −0.289131 | − | 0.698023i | 0.710855 | − | 0.703338i | \(-0.248308\pi\) |
−0.999986 | + | 0.00531519i | \(0.998308\pi\) | |||||||
\(734\) | 19.4147 | − | 3.86182i | 0.716609 | − | 0.142542i | ||||
\(735\) | − | 86.8246i | − | 3.20258i | ||||||
\(736\) | 6.77803 | + | 4.52893i | 0.249841 | + | 0.166939i | ||||
\(737\) | 9.50894 | − | 6.35367i | 0.350266 | − | 0.234040i | ||||
\(738\) | −2.43838 | + | 12.2586i | −0.0897580 | + | 0.451244i | ||||
\(739\) | −6.26223 | − | 2.59390i | −0.230360 | − | 0.0954182i | 0.264518 | − | 0.964381i | \(-0.414787\pi\) |
−0.494878 | + | 0.868963i | \(0.664787\pi\) | |||||||
\(740\) | 20.8014 | − | 8.61622i | 0.764675 | − | 0.316739i | ||||
\(741\) | 20.5674 | + | 21.4426i | 0.755562 | + | 0.787714i | ||||
\(742\) | 0.144519 | + | 0.216288i | 0.00530547 | + | 0.00794019i | ||||
\(743\) | −14.8852 | − | 9.94594i | −0.546083 | − | 0.364881i | 0.251719 | − | 0.967800i | \(-0.419004\pi\) |
−0.797802 | + | 0.602919i | \(0.794004\pi\) | |||||||
\(744\) | −13.4169 | + | 13.4169i | −0.491888 | + | 0.491888i | ||||
\(745\) | −6.02742 | − | 4.02740i | −0.220828 | − | 0.147552i | ||||
\(746\) | 5.90320 | − | 2.44519i | 0.216132 | − | 0.0895246i | ||||
\(747\) | 31.2860 | + | 31.2860i | 1.14469 | + | 1.14469i | ||||
\(748\) | −6.29361 | − | 2.89589i | −0.230117 | − | 0.105884i | ||||
\(749\) | 0.153692 | + | 0.153692i | 0.00561577 | + | 0.00561577i | ||||
\(750\) | 20.5433 | − | 49.5960i | 0.750137 | − | 1.81099i | ||||
\(751\) | −21.6527 | + | 32.4056i | −0.790118 | + | 1.18250i | 0.189550 | + | 0.981871i | \(0.439297\pi\) |
−0.979668 | + | 0.200625i | \(0.935703\pi\) | |||||||
\(752\) | − | 3.08402i | − | 0.112463i | ||||||
\(753\) | 18.3446 | + | 92.2246i | 0.668515 | + | 3.36085i | ||||
\(754\) | 0.239771 | − | 11.5089i | 0.00873196 | − | 0.419128i | ||||
\(755\) | −56.5430 | − | 11.2471i | −2.05781 | − | 0.409324i | ||||
\(756\) | −0.160848 | + | 0.388321i | −0.00584998 | + | 0.0141231i | ||||
\(757\) | 10.1159 | + | 24.4219i | 0.367667 | + | 0.887627i | 0.994132 | + | 0.108177i | \(0.0345014\pi\) |
−0.626464 | + | 0.779450i | \(0.715499\pi\) | |||||||
\(758\) | 11.1450 | + | 2.21688i | 0.404805 | + | 0.0805208i | ||||
\(759\) | 9.17964 | + | 1.82594i | 0.333200 | + | 0.0662776i | ||||
\(760\) | −23.7475 | − | 15.8676i | −0.861412 | − | 0.575577i | ||||
\(761\) | −20.6675 | −0.749195 | −0.374598 | − | 0.927188i | \(-0.622219\pi\) | ||||
−0.374598 | + | 0.927188i | \(0.622219\pi\) | |||||||
\(762\) | −26.4063 | + | 5.25255i | −0.956600 | + | 0.190280i | ||||
\(763\) | −0.253228 | − | 0.104890i | −0.00916746 | − | 0.00379729i | ||||
\(764\) | 3.12992 | 0.113237 | ||||||||
\(765\) | 113.647 | − | 42.0199i | 4.10893 | − | 1.51923i | ||||
\(766\) | 28.9259i | 1.04513i | ||||||||
\(767\) | −29.4852 | + | 18.8250i | −1.06465 | + | 0.679732i | ||||
\(768\) | −46.2425 | − | 30.8983i | −1.66863 | − | 1.11494i | ||||
\(769\) | −10.4210 | −0.375789 | −0.187895 | − | 0.982189i | \(-0.560166\pi\) | ||||
−0.187895 | + | 0.982189i | \(0.560166\pi\) | |||||||
\(770\) | −0.176883 | + | 0.0351842i | −0.00637443 | + | 0.00126795i | ||||
\(771\) | 3.30447 | + | 4.94549i | 0.119008 | + | 0.178108i | ||||
\(772\) | −15.8395 | + | 10.5836i | −0.570076 | + | 0.380912i | ||||
\(773\) | −11.6134 | + | 28.0372i | −0.417704 | + | 1.00843i | 0.565306 | + | 0.824881i | \(0.308758\pi\) |
−0.983011 | + | 0.183547i | \(0.941242\pi\) | |||||||
\(774\) | 21.1012 | − | 50.9427i | 0.758466 | − | 1.83110i | ||||
\(775\) | −14.8086 | + | 9.89482i | −0.531942 | + | 0.355432i | ||||
\(776\) | 20.8635 | + | 31.2244i | 0.748954 | + | 1.12089i | ||||
\(777\) | 0.538769 | − | 0.107168i | 0.0193282 | − | 0.00384463i | ||||
\(778\) | −4.09288 | −0.146737 | ||||||||
\(779\) | 3.31625 | + | 2.21585i | 0.118817 | + | 0.0793910i | ||||
\(780\) | 23.5131 | + | 36.8280i | 0.841905 | + | 1.31865i | ||||
\(781\) | 3.85448i | 0.137924i | ||||||||
\(782\) | 0.266415 | − | 6.90779i | 0.00952699 | − | 0.247022i | ||||
\(783\) | 49.5014 | 1.76904 | ||||||||
\(784\) | 7.06000 | + | 2.92435i | 0.252143 | + | 0.104441i | ||||
\(785\) | −54.1778 | + | 10.7766i | −1.93369 | + | 0.384635i | ||||
\(786\) | −36.2997 | −1.29477 | ||||||||
\(787\) | −21.1170 | − | 14.1100i | −0.752741 | − | 0.502965i | 0.119023 | − | 0.992891i | \(-0.462024\pi\) |
−0.871764 | + | 0.489926i | \(0.837024\pi\) | |||||||
\(788\) | 6.86844 | + | 1.36622i | 0.244678 | + | 0.0486695i | ||||
\(789\) | 76.8493 | + | 15.2863i | 2.73591 | + | 0.544206i | ||||
\(790\) | −16.4103 | − | 39.6179i | −0.583851 | − | 1.40954i | ||||
\(791\) | −0.0184782 | + | 0.0446104i | −0.000657010 | + | 0.00158616i | ||||
\(792\) | −39.5032 | − | 7.85768i | −1.40369 | − | 0.279211i | ||||
\(793\) | −27.9499 | − | 29.1393i | −0.992530 | − | 1.03477i | ||||
\(794\) | 5.28544 | + | 26.5717i | 0.187573 | + | 0.942995i | ||||
\(795\) | 116.285i | 4.12421i | ||||||||
\(796\) | 4.81192 | − | 7.20155i | 0.170554 | − | 0.255252i | ||||
\(797\) | 15.8868 | − | 38.3541i | 0.562739 | − | 1.35857i | −0.344828 | − | 0.938666i | \(-0.612063\pi\) |
0.907567 | − | 0.419906i | \(-0.137937\pi\) | |||||||
\(798\) | −0.161696 | − | 0.161696i | −0.00572398 | − | 0.00572398i | ||||
\(799\) | 9.92608 | − | 6.09256i | 0.351159 | − | 0.215539i | ||||
\(800\) | −32.2652 | − | 32.2652i | −1.14075 | − | 1.14075i | ||||
\(801\) | 77.2430 | − | 31.9951i | 2.72925 | − | 1.13049i | ||||
\(802\) | −10.5044 | − | 7.01879i | −0.370922 | − | 0.247842i | ||||
\(803\) | −10.9836 | + | 10.9836i | −0.387604 | + | 0.387604i | ||||
\(804\) | 17.7306 | + | 11.8472i | 0.625311 | + | 0.417820i | ||||
\(805\) | 0.0954687 | + | 0.142879i | 0.00336483 | + | 0.00503582i | ||||
\(806\) | −0.145811 | + | 6.99885i | −0.00513599 | + | 0.246524i | ||||
\(807\) | 77.4349 | − | 32.0746i | 2.72584 | − | 1.12908i | ||||
\(808\) | −18.6776 | − | 7.73653i | −0.657077 | − | 0.272170i | ||||
\(809\) | 7.94828 | − | 39.9587i | 0.279447 | − | 1.40487i | −0.544764 | − | 0.838590i | \(-0.683381\pi\) |
0.824210 | − | 0.566284i | \(-0.191619\pi\) | |||||||
\(810\) | 89.4653 | − | 59.7788i | 3.14349 | − | 2.10041i | ||||
\(811\) | −2.44491 | − | 1.63364i | −0.0858525 | − | 0.0573648i | 0.511903 | − | 0.859043i | \(-0.328941\pi\) |
−0.597756 | + | 0.801678i | \(0.703941\pi\) | |||||||
\(812\) | − | 0.0845976i | − | 0.00296880i | ||||||
\(813\) | 38.9300 | − | 7.74366i | 1.36534 | − | 0.271582i | ||||
\(814\) | 4.06060 | + | 9.80316i | 0.142324 | + | 0.343601i | ||||
\(815\) | 22.0443i | 0.772177i | ||||||||
\(816\) | −0.569523 | + | 14.7670i | −0.0199373 | + | 0.516947i | ||||
\(817\) | −12.4419 | − | 12.4419i | −0.435287 | − | 0.435287i | ||||
\(818\) | 6.69495 | + | 2.77314i | 0.234083 | + | 0.0969605i | ||||
\(819\) | 0.279527 | + | 0.716709i | 0.00976745 | + | 0.0250438i | ||||
\(820\) | 4.14740 | + | 4.14740i | 0.144834 | + | 0.144834i | ||||
\(821\) | 10.8303 | − | 16.2087i | 0.377979 | − | 0.565686i | −0.592894 | − | 0.805281i | \(-0.702015\pi\) |
0.970873 | + | 0.239595i | \(0.0770146\pi\) | |||||||
\(822\) | 27.0542 | − | 18.0770i | 0.943622 | − | 0.630508i | ||||
\(823\) | −2.65793 | + | 13.3623i | −0.0926498 | + | 0.465782i | 0.906409 | + | 0.422401i | \(0.138813\pi\) |
−0.999059 | + | 0.0433804i | \(0.986187\pi\) | |||||||
\(824\) | 18.9993 | − | 45.8683i | 0.661871 | − | 1.59790i | ||||
\(825\) | −48.4016 | − | 20.0486i | −1.68513 | − | 0.698002i | ||||
\(826\) | 0.223860 | − | 0.149579i | 0.00778909 | − | 0.00520450i | ||||
\(827\) | 8.13384 | − | 40.8916i | 0.282841 | − | 1.42194i | −0.534199 | − | 0.845359i | \(-0.679387\pi\) |
0.817040 | − | 0.576581i | \(-0.195613\pi\) | |||||||
\(828\) | 2.45695 | + | 12.3519i | 0.0853848 | + | 0.429259i | ||||
\(829\) | 5.20682 | + | 5.20682i | 0.180840 | + | 0.180840i | 0.791722 | − | 0.610882i | \(-0.209185\pi\) |
−0.610882 | + | 0.791722i | \(0.709185\pi\) | |||||||
\(830\) | −21.3263 | + | 4.24206i | −0.740245 | + | 0.147244i | ||||
\(831\) | −14.6448 | + | 35.3558i | −0.508024 | + | 1.22648i | ||||
\(832\) | −25.4115 | + | 4.50657i | −0.880984 | + | 0.156237i | ||||
\(833\) | 4.53505 | + | 28.5001i | 0.157130 | + | 0.987469i | ||||
\(834\) | 7.59878 | − | 7.59878i | 0.263124 | − | 0.263124i | ||||
\(835\) | −35.0783 | + | 84.6864i | −1.21393 | + | 2.93070i | ||||
\(836\) | −2.34328 | + | 3.50697i | −0.0810442 | + | 0.121291i | ||||
\(837\) | −30.1031 | −1.04052 | ||||||||
\(838\) | 4.83979 | − | 7.24326i | 0.167188 | − | 0.250214i | ||||
\(839\) | −19.9488 | − | 3.96806i | −0.688709 | − | 0.136993i | −0.161684 | − | 0.986843i | \(-0.551693\pi\) |
−0.527025 | + | 0.849850i | \(0.676693\pi\) | |||||||
\(840\) | −0.569314 | − | 0.852039i | −0.0196432 | − | 0.0293981i | ||||
\(841\) | 17.5877 | − | 7.28506i | 0.606472 | − | 0.251209i | ||||
\(842\) | −13.3703 | + | 5.53816i | −0.460771 | + | 0.190858i | ||||
\(843\) | 66.0558 | − | 44.1370i | 2.27508 | − | 1.52016i | ||||
\(844\) | 0.271058 | − | 0.181115i | 0.00933020 | − | 0.00623424i | ||||
\(845\) | 47.7380 | + | 11.5817i | 1.64224 | + | 0.398422i | ||||
\(846\) | 15.7122 | − | 15.7122i | 0.540198 | − | 0.540198i | ||||
\(847\) | −0.0430413 | − | 0.216383i | −0.00147892 | − | 0.00743501i | ||||
\(848\) | −9.45553 | − | 3.91661i | −0.324704 | − | 0.134497i | ||||
\(849\) | −36.0576 | −1.23749 | ||||||||
\(850\) | −9.00600 | + | 37.6323i | −0.308903 | + | 1.29078i | ||||
\(851\) | 7.14900 | − | 7.14900i | 0.245065 | − | 0.245065i | ||||
\(852\) | −6.64008 | + | 2.75041i | −0.227485 | + | 0.0942275i | ||||
\(853\) | −6.14327 | − | 30.8843i | −0.210341 | − | 1.05746i | −0.931237 | − | 0.364414i | \(-0.881269\pi\) |
0.720895 | − | 0.693044i | \(-0.243731\pi\) | |||||||
\(854\) | 0.219736 | + | 0.219736i | 0.00751920 | + | 0.00751920i | ||||
\(855\) | −14.3914 | − | 72.3506i | −0.492176 | − | 2.47434i | ||||
\(856\) | −23.3971 | − | 4.65397i | −0.799696 | − | 0.159069i | ||||
\(857\) | 3.32118 | − | 16.6967i | 0.113449 | − | 0.570348i | −0.881687 | − | 0.471836i | \(-0.843592\pi\) |
0.995136 | − | 0.0985123i | \(-0.0314084\pi\) | |||||||
\(858\) | −17.3561 | + | 11.0811i | −0.592527 | + | 0.378303i | ||||
\(859\) | 8.70381 | + | 21.0129i | 0.296970 | + | 0.716949i | 0.999983 | + | 0.00577252i | \(0.00183746\pi\) |
−0.703013 | + | 0.711177i | \(0.748163\pi\) | |||||||
\(860\) | −14.3758 | − | 21.5149i | −0.490210 | − | 0.733651i | ||||
\(861\) | 0.0795027 | + | 0.118984i | 0.00270944 | + | 0.00405497i | ||||
\(862\) | −2.76005 | + | 0.549007i | −0.0940075 | + | 0.0186993i | ||||
\(863\) | − | 6.31055i | − | 0.214814i | −0.994215 | − | 0.107407i | \(-0.965745\pi\) | ||
0.994215 | − | 0.107407i | \(-0.0342547\pi\) | |||||||
\(864\) | −15.0462 | − | 75.6425i | −0.511883 | − | 2.57341i | ||||
\(865\) | −2.84103 | − | 6.85885i | −0.0965979 | − | 0.233208i | ||||
\(866\) | −2.17596 | + | 2.17596i | −0.0739420 | + | 0.0739420i | ||||
\(867\) | −48.6533 | + | 27.3395i | −1.65235 | + | 0.928497i | ||||
\(868\) | 0.0514461i | 0.00174619i | ||||||||
\(869\) | −17.8285 | + | 7.38479i | −0.604789 | + | 0.250512i | ||||
\(870\) | −22.0032 | + | 32.9301i | −0.745978 | + | 1.11643i | ||||
\(871\) | 23.6056 | − | 4.18631i | 0.799845 | − | 0.141848i | ||||
\(872\) | 29.5048 | − | 5.86887i | 0.999158 | − | 0.198745i | ||||
\(873\) | −18.9226 | + | 95.1301i | −0.640432 | + | 3.21967i | ||||
\(874\) | −4.12781 | − | 0.821073i | −0.139625 | − | 0.0277732i | ||||
\(875\) | −0.169732 | − | 0.409770i | −0.00573800 | − | 0.0138527i | ||||
\(876\) | −26.7590 | − | 11.0839i | −0.904102 | − | 0.374491i | ||||
\(877\) | 16.4195 | + | 24.5736i | 0.554449 | + | 0.829791i | 0.997782 | − | 0.0665658i | \(-0.0212042\pi\) |
−0.443333 | + | 0.896357i | \(0.646204\pi\) | |||||||
\(878\) | −2.25654 | + | 11.3444i | −0.0761546 | + | 0.382855i | ||||
\(879\) | 14.8378 | − | 22.2063i | 0.500465 | − | 0.748999i | ||||
\(880\) | 5.01743 | − | 5.01743i | 0.169138 | − | 0.169138i | ||||
\(881\) | −14.5928 | − | 9.75063i | −0.491646 | − | 0.328507i | 0.284912 | − | 0.958554i | \(-0.408036\pi\) |
−0.776557 | + | 0.630047i | \(0.783036\pi\) | |||||||
\(882\) | 21.0700 | + | 50.8675i | 0.709464 | + | 1.71280i | ||||
\(883\) | −51.3916 | −1.72946 | −0.864732 | − | 0.502234i | \(-0.832512\pi\) | ||||
−0.864732 | + | 0.502234i | \(0.832512\pi\) | |||||||
\(884\) | −9.64176 | − | 10.8606i | −0.324288 | − | 0.365282i | ||||
\(885\) | 120.356 | 4.04572 | ||||||||
\(886\) | −3.59952 | − | 8.69001i | −0.120928 | − | 0.291947i | ||||
\(887\) | 2.89646 | + | 1.93535i | 0.0972537 | + | 0.0649829i | 0.603246 | − | 0.797555i | \(-0.293874\pi\) |
−0.505992 | + | 0.862538i | \(0.668874\pi\) | |||||||
\(888\) | −42.6321 | + | 42.6321i | −1.43064 | + | 1.43064i | ||||
\(889\) | −0.123585 | + | 0.184958i | −0.00414491 | + | 0.00620330i | ||||
\(890\) | −8.01596 | + | 40.2990i | −0.268696 | + | 1.35082i | ||||
\(891\) | −26.9011 | − | 40.2603i | −0.901221 | − | 1.34877i | ||||
\(892\) | 15.8583 | + | 6.56870i | 0.530974 | + | 0.219936i | ||||
\(893\) | −2.71349 | − | 6.55094i | −0.0908035 | − | 0.219219i | ||||
\(894\) | 6.24777 | + | 1.24276i | 0.208957 | + | 0.0415641i | ||||
\(895\) | −11.1802 | + | 56.2065i | −0.373712 | + | 1.87878i | ||||
\(896\) | −0.0698439 | + | 0.0138928i | −0.00233332 | + | 0.000464127i | ||||
\(897\) | 16.0831 | + | 11.2379i | 0.536999 | + | 0.375222i | ||||
\(898\) | 2.83682 | − | 4.24561i | 0.0946661 | − | 0.141678i | ||||
\(899\) | 5.59770 | − | 2.31864i | 0.186694 | − | 0.0773311i | ||||
\(900\) | − | 70.4941i | − | 2.34980i | ||||||
\(901\) | −6.07384 | − | 38.1704i | −0.202349 | − | 1.27164i | ||||
\(902\) | −1.95456 | + | 1.95456i | −0.0650799 | + | 0.0650799i | ||||
\(903\) | −0.241593 | − | 0.583256i | −0.00803970 | − | 0.0194095i | ||||
\(904\) | −1.03390 | − | 5.19777i | −0.0343870 | − | 0.172875i | ||||
\(905\) | − | 20.4785i | − | 0.680728i | ||||||
\(906\) | 49.6872 | − | 9.88341i | 1.65075 | − | 0.328354i | ||||
\(907\) | 29.5138 | + | 44.1705i | 0.979990 | + | 1.46666i | 0.881875 | + | 0.471483i | \(0.156281\pi\) |
0.0981146 | + | 0.995175i | \(0.468719\pi\) | |||||||
\(908\) | 7.74301 | + | 11.5882i | 0.256961 | + | 0.384569i | ||||
\(909\) | −19.9822 | − | 48.2413i | −0.662767 | − | 1.60006i | ||||
\(910\) | −0.369184 | − | 0.0814642i | −0.0122383 | − | 0.00270051i | ||||
\(911\) | −0.379139 | + | 1.90606i | −0.0125614 | + | 0.0631505i | −0.986558 | − | 0.163414i | \(-0.947749\pi\) |
0.973996 | + | 0.226564i | \(0.0727494\pi\) | |||||||
\(912\) | 8.82414 | + | 1.75523i | 0.292197 | + | 0.0581215i | ||||
\(913\) | 1.90897 | + | 9.59704i | 0.0631777 | + | 0.317616i | ||||
\(914\) | −10.8925 | − | 10.8925i | −0.360293 | − | 0.360293i | ||||
\(915\) | 27.1012 | + | 136.247i | 0.895938 | + | 4.50419i | ||||
\(916\) | 0.196221 | − | 0.0812776i | 0.00648334 | − | 0.00268549i | ||||
\(917\) | −0.212071 | + | 0.212071i | −0.00700320 | + | 0.00700320i | ||||
\(918\) | −47.9948 | + | 44.4302i | −1.58406 | + | 1.46641i | ||||
\(919\) | 7.64105 | 0.252055 | 0.126027 | − | 0.992027i | \(-0.459777\pi\) | ||||
0.126027 | + | 0.992027i | \(0.459777\pi\) | |||||||
\(920\) | −17.4245 | − | 7.21746i | −0.574468 | − | 0.237953i | ||||
\(921\) | 2.49661 | + | 12.5513i | 0.0822660 | + | 0.413579i | ||||
\(922\) | 12.3807 | − | 12.3807i | 0.407736 | − | 0.407736i | ||||
\(923\) | −3.24696 | + | 7.39906i | −0.106875 | + | 0.243543i | ||||
\(924\) | −0.125827 | + | 0.0840750i | −0.00413941 | + | 0.00276586i | ||||
\(925\) | −47.0543 | + | 31.4407i | −1.54714 | + | 1.03376i | ||||
\(926\) | −14.8733 | + | 6.16072i | −0.488767 | + | 0.202454i | ||||
\(927\) | 118.470 | − | 49.0720i | 3.89108 | − | 1.61174i | ||||
\(928\) | 8.62409 | + | 12.9069i | 0.283100 | + | 0.423689i | ||||
\(929\) | 55.6857 | + | 11.0766i | 1.82699 | + | 0.363410i | 0.984511 | − | 0.175322i | \(-0.0560968\pi\) |
0.842477 | + | 0.538733i | \(0.181097\pi\) | |||||||
\(930\) | 13.3807 | − | 20.0257i | 0.438771 | − | 0.656668i | ||||
\(931\) | 17.5695 | 0.575818 | ||||||||
\(932\) | −4.48878 | + | 6.71793i | −0.147035 | + | 0.220053i | ||||
\(933\) | −28.3239 | + | 68.3799i | −0.927282 | + | 2.23866i | ||||
\(934\) | 17.3400 | − | 17.3400i | 0.567382 | − | 0.567382i | ||||
\(935\) | 26.0609 | + | 6.23678i | 0.852282 | + | 0.203965i | ||||
\(936\) | −69.2112 | − | 48.3606i | −2.26224 | − | 1.58072i | ||||
\(937\) | −7.55000 | + | 18.2273i | −0.246648 | + | 0.595460i | −0.997915 | − | 0.0645376i | \(-0.979443\pi\) |
0.751268 | + | 0.659998i | \(0.229443\pi\) | |||||||
\(938\) | −0.180966 | + | 0.0359963i | −0.00590873 | + | 0.00117532i | ||||
\(939\) | 11.4152 | + | 11.4152i | 0.372523 | + | 0.372523i | ||||
\(940\) | −2.03430 | − | 10.2271i | −0.0663515 | − | 0.333571i | ||||
\(941\) | 0.993425 | − | 4.99429i | 0.0323847 | − | 0.162809i | −0.961209 | − | 0.275822i | \(-0.911050\pi\) |
0.993594 | + | 0.113013i | \(0.0360501\pi\) | |||||||
\(942\) | 40.3608 | − | 26.9682i | 1.31503 | − | 0.878673i | ||||
\(943\) | 2.43327 | + | 1.00789i | 0.0792381 | + | 0.0328215i | ||||
\(944\) | −4.05372 | + | 9.78655i | −0.131937 | + | 0.318525i | ||||
\(945\) | 0.317171 | − | 1.59452i | 0.0103176 | − | 0.0518699i | ||||
\(946\) | 10.1394 | − | 6.77493i | 0.329660 | − | 0.220272i | ||||
\(947\) | 1.01982 | − | 1.52627i | 0.0331396 | − | 0.0495970i | −0.814530 | − | 0.580122i | \(-0.803005\pi\) |
0.847670 | + | 0.530525i | \(0.178005\pi\) | |||||||
\(948\) | −25.4434 | − | 25.4434i | −0.826365 | − | 0.826365i | ||||
\(949\) | −30.3367 | + | 11.8317i | −0.984770 | + | 0.384074i | ||||
\(950\) | 21.7648 | + | 9.01526i | 0.706142 | + | 0.292494i | ||||
\(951\) | −75.5451 | − | 75.5451i | −2.44972 | − | 2.44972i | ||||
\(952\) | 0.231381 | + | 0.249944i | 0.00749909 | + | 0.00810073i | ||||
\(953\) | 56.0668i | 1.81618i | 0.418772 | + | 0.908092i | \(0.362461\pi\) | ||||
−0.418772 | + | 0.908092i | \(0.637539\pi\) | |||||||
\(954\) | −28.2193 | − | 68.1273i | −0.913632 | − | 2.20570i | ||||
\(955\) | −11.8738 | + | 2.36184i | −0.384226 | + | 0.0764273i | ||||
\(956\) | 22.7452i | 0.735632i | ||||||||
\(957\) | 14.8189 | + | 9.90167i | 0.479027 | + | 0.320075i | ||||
\(958\) | 0.573960 | − | 0.383508i | 0.0185438 | − | 0.0123906i | ||||
\(959\) | 0.0524465 | − | 0.263666i | 0.00169359 | − | 0.00851423i | ||||
\(960\) | 82.0331 | + | 33.9792i | 2.64761 | + | 1.09668i | ||||
\(961\) | 25.2362 | − | 10.4532i | 0.814069 | − | 0.337199i | ||||
\(962\) | −0.463314 | + | 22.2387i | −0.0149378 | + | 0.717006i | ||||
\(963\) | −34.2313 | − | 51.2308i | −1.10309 | − | 1.65089i | ||||
\(964\) | −0.336316 | − | 0.224719i | −0.0108320 | − | 0.00723771i | ||||
\(965\) | 52.1028 | − | 52.1028i | 1.67725 | − | 1.67725i | ||||
\(966\) | −0.125555 | − | 0.0838932i | −0.00403967 | − | 0.00269922i | ||||
\(967\) | −18.8804 | + | 7.82051i | −0.607152 | + | 0.251491i | −0.665010 | − | 0.746834i | \(-0.731573\pi\) |
0.0578583 | + | 0.998325i | \(0.481573\pi\) | |||||||
\(968\) | 17.1221 | + | 17.1221i | 0.550325 | + | 0.550325i | ||||
\(969\) | 11.7830 | + | 31.8684i | 0.378525 | + | 1.02376i | ||||
\(970\) | −33.7059 | − | 33.7059i | −1.08223 | − | 1.08223i | ||||
\(971\) | 19.5019 | − | 47.0817i | 0.625845 | − | 1.51092i | −0.218897 | − | 0.975748i | \(-0.570246\pi\) |
0.844741 | − | 0.535175i | \(-0.179754\pi\) | |||||||
\(972\) | 24.6255 | − | 36.8547i | 0.789863 | − | 1.18211i | ||||
\(973\) | − | 0.0887876i | − | 0.00284640i | ||||||
\(974\) | 1.63457 | + | 8.21754i | 0.0523750 | + | 0.263307i | ||||
\(975\) | −76.0230 | − | 79.2581i | −2.43468 | − | 2.53829i | ||||
\(976\) | −11.9915 | − | 2.38526i | −0.383839 | − | 0.0763502i | ||||
\(977\) | 8.74595 | − | 21.1146i | 0.279808 | − | 0.675515i | −0.720022 | − | 0.693951i | \(-0.755869\pi\) |
0.999830 | + | 0.0184354i | \(0.00586850\pi\) | |||||||
\(978\) | −7.41312 | − | 17.8969i | −0.237045 | − | 0.572278i | ||||
\(979\) | 18.1350 | + | 3.60727i | 0.579596 | + | 0.115289i | ||||
\(980\) | 25.3410 | + | 5.04065i | 0.809490 | + | 0.161018i | ||||
\(981\) | 64.6044 | + | 43.1673i | 2.06266 | + | 1.37822i | ||||
\(982\) | −3.26706 | −0.104256 | ||||||||
\(983\) | −12.7073 | + | 2.52763i | −0.405299 | + | 0.0806190i | −0.393530 | − | 0.919312i | \(-0.628746\pi\) |
−0.0117690 | + | 0.999931i | \(0.503746\pi\) | |||||||
\(984\) | −14.5104 | − | 6.01042i | −0.462576 | − | 0.191605i | ||||
\(985\) | −27.0873 | −0.863073 | ||||||||
\(986\) | 5.50250 | − | 11.9585i | 0.175235 | − | 0.380837i | ||||
\(987\) | − | 0.254408i | − | 0.00809789i | ||||||
\(988\) | −7.45239 | + | 4.75803i | −0.237092 | + | 0.151373i | ||||
\(989\) | −9.66100 | − | 6.45527i | −0.307202 | − | 0.205266i | ||||
\(990\) | 51.1248 | 1.62485 | ||||||||
\(991\) | −26.7081 | + | 5.31257i | −0.848410 | + | 0.168759i | −0.600103 | − | 0.799922i | \(-0.704874\pi\) |
−0.248306 | + | 0.968682i | \(0.579874\pi\) | |||||||
\(992\) | −5.24454 | − | 7.84901i | −0.166514 | − | 0.249206i | ||||
\(993\) | −60.7105 | + | 40.5655i | −1.92659 | + | 1.28731i | ||||
\(994\) | 0.0237981 | − | 0.0574536i | 0.000754829 | − | 0.00182232i | ||||
\(995\) | −12.8204 | + | 30.9511i | −0.406433 | + | 0.981216i | ||||
\(996\) | −15.1706 | + | 10.1367i | −0.480698 | + | 0.321192i | ||||
\(997\) | 7.36496 | + | 11.0224i | 0.233250 | + | 0.349084i | 0.929569 | − | 0.368649i | \(-0.120180\pi\) |
−0.696318 | + | 0.717733i | \(0.745180\pi\) | |||||||
\(998\) | −18.9716 | + | 3.77369i | −0.600537 | + | 0.119454i | ||||
\(999\) | −95.6524 | −3.02631 |
(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 | 221.2.z.a.44.13 | ✓ | 152 | |
13.8 | odd | 4 | 221.2.ba.a.112.7 | yes | 152 | ||
17.12 | odd | 16 | 221.2.ba.a.148.7 | yes | 152 | ||
221.216 | even | 16 | inner | 221.2.z.a.216.13 | yes | 152 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
221.2.z.a.44.13 | ✓ | 152 | 1.1 | even | 1 | trivial | |
221.2.z.a.216.13 | yes | 152 | 221.216 | even | 16 | inner | |
221.2.ba.a.112.7 | yes | 152 | 13.8 | odd | 4 | ||
221.2.ba.a.148.7 | yes | 152 | 17.12 | odd | 16 |