Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(19,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 0, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.t (of order \(22\), degree \(10\), 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: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 235.22 | ||
Character | \(\chi\) | \(=\) | 552.235 |
Dual form | 552.2.t.a.451.22 |
$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{1}{22}\right)\) | \(1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.33194 | − | 0.475334i | 0.941822 | − | 0.336112i | ||||
\(3\) | 0.654861 | − | 0.755750i | 0.378084 | − | 0.436332i | ||||
\(4\) | 1.54812 | − | 1.26623i | 0.774058 | − | 0.633115i | ||||
\(5\) | −0.462696 | + | 3.21812i | −0.206924 | + | 1.43919i | 0.576193 | + | 0.817314i | \(0.304538\pi\) |
−0.783117 | + | 0.621874i | \(0.786371\pi\) | |||||||
\(6\) | 0.513000 | − | 1.31789i | 0.209431 | − | 0.538026i | ||||
\(7\) | 1.43113 | + | 3.13375i | 0.540918 | + | 1.18444i | 0.960896 | + | 0.276911i | \(0.0893106\pi\) |
−0.419978 | + | 0.907534i | \(0.637962\pi\) | |||||||
\(8\) | 1.46011 | − | 2.42241i | 0.516227 | − | 0.856452i | ||||
\(9\) | −0.142315 | − | 0.989821i | −0.0474383 | − | 0.329940i | ||||
\(10\) | 0.913400 | + | 4.50627i | 0.288843 | + | 1.42501i | ||||
\(11\) | 0.0298024 | + | 0.101497i | 0.00898575 | + | 0.0306026i | 0.963864 | − | 0.266395i | \(-0.0858327\pi\) |
−0.954878 | + | 0.296998i | \(0.904015\pi\) | |||||||
\(12\) | 0.0568468 | − | 1.99919i | 0.0164103 | − | 0.577117i | ||||
\(13\) | −0.610377 | − | 0.278750i | −0.169288 | − | 0.0773113i | 0.328969 | − | 0.944341i | \(-0.393299\pi\) |
−0.498257 | + | 0.867030i | \(0.666026\pi\) | |||||||
\(14\) | 3.39576 | + | 3.49369i | 0.907554 | + | 0.933727i | ||||
\(15\) | 2.12909 | + | 2.45710i | 0.549729 | + | 0.634421i | ||||
\(16\) | 0.793321 | − | 3.92054i | 0.198330 | − | 0.980135i | ||||
\(17\) | 0.598302 | + | 0.930977i | 0.145110 | + | 0.225795i | 0.906198 | − | 0.422853i | \(-0.138971\pi\) |
−0.761089 | + | 0.648648i | \(0.775335\pi\) | |||||||
\(18\) | −0.660050 | − | 1.25073i | −0.155575 | − | 0.294801i | ||||
\(19\) | 2.54616 | − | 3.96191i | 0.584130 | − | 0.908924i | −0.415870 | − | 0.909424i | \(-0.636523\pi\) |
1.00000 | 0.000499791i | \(0.000159088\pi\) | ||||||||
\(20\) | 3.35858 | + | 5.56790i | 0.751001 | + | 1.24502i | ||||
\(21\) | 3.30552 | + | 0.970589i | 0.721324 | + | 0.211800i | ||||
\(22\) | 0.0879401 | + | 0.121022i | 0.0187489 | + | 0.0258020i | ||||
\(23\) | −2.35594 | + | 4.17727i | −0.491247 | + | 0.871020i | ||||
\(24\) | −0.874567 | − | 2.68982i | −0.178520 | − | 0.549057i | ||||
\(25\) | −5.34475 | − | 1.56936i | −1.06895 | − | 0.313872i | ||||
\(26\) | −0.945484 | − | 0.0811445i | −0.185425 | − | 0.0159137i | ||||
\(27\) | −0.841254 | − | 0.540641i | −0.161899 | − | 0.104046i | ||||
\(28\) | 6.18361 | + | 3.03926i | 1.16859 | + | 0.574365i | ||||
\(29\) | −2.63576 | − | 4.10132i | −0.489449 | − | 0.761597i | 0.505409 | − | 0.862880i | \(-0.331342\pi\) |
−0.994858 | + | 0.101283i | \(0.967705\pi\) | |||||||
\(30\) | 4.00376 | + | 2.26068i | 0.730984 | + | 0.412742i | ||||
\(31\) | −0.0721183 | + | 0.0624909i | −0.0129528 | + | 0.0112237i | −0.661313 | − | 0.750110i | \(-0.730001\pi\) |
0.648360 | + | 0.761334i | \(0.275455\pi\) | |||||||
\(32\) | −0.806912 | − | 5.59901i | −0.142643 | − | 0.989774i | ||||
\(33\) | 0.0962231 | + | 0.0439436i | 0.0167503 | + | 0.00764960i | ||||
\(34\) | 1.23943 | + | 0.955609i | 0.212560 | + | 0.163886i | ||||
\(35\) | −10.7470 | + | 3.15559i | −1.81657 | + | 0.533392i | ||||
\(36\) | −1.47366 | − | 1.35215i | −0.245610 | − | 0.225359i | ||||
\(37\) | −0.960068 | − | 6.67742i | −0.157834 | − | 1.09776i | −0.902614 | − | 0.430451i | \(-0.858355\pi\) |
0.744780 | − | 0.667310i | \(-0.232555\pi\) | |||||||
\(38\) | 1.50810 | − | 6.48730i | 0.244646 | − | 1.05238i | ||||
\(39\) | −0.610377 | + | 0.278750i | −0.0977386 | + | 0.0446357i | ||||
\(40\) | 7.12003 | + | 5.81965i | 1.12578 | + | 0.920168i | ||||
\(41\) | 0.346577 | − | 2.41050i | 0.0541262 | − | 0.376456i | −0.944696 | − | 0.327946i | \(-0.893644\pi\) |
0.998823 | − | 0.0485101i | \(-0.0154473\pi\) | |||||||
\(42\) | 4.86410 | − | 0.278463i | 0.750547 | − | 0.0429678i | ||||
\(43\) | 1.63464 | + | 1.41643i | 0.249281 | + | 0.216003i | 0.770534 | − | 0.637399i | \(-0.219990\pi\) |
−0.521253 | + | 0.853402i | \(0.674535\pi\) | |||||||
\(44\) | 0.174657 | + | 0.119393i | 0.0263305 | + | 0.0179992i | ||||
\(45\) | 3.25121 | 0.484662 | ||||||||
\(46\) | −1.15236 | + | 6.68372i | −0.169907 | + | 0.985460i | ||||
\(47\) | − | 8.18987i | − | 1.19462i | −0.802012 | − | 0.597308i | \(-0.796237\pi\) | ||
0.802012 | − | 0.597308i | \(-0.203763\pi\) | |||||||
\(48\) | −2.44343 | − | 3.16696i | −0.352679 | − | 0.457111i | ||||
\(49\) | −3.18820 | + | 3.67938i | −0.455457 | + | 0.525625i | ||||
\(50\) | −7.86485 | + | 0.450252i | −1.11226 | + | 0.0636752i | ||||
\(51\) | 1.09539 | + | 0.157493i | 0.153385 | + | 0.0220535i | ||||
\(52\) | −1.29790 | + | 0.341341i | −0.179986 | + | 0.0473355i | ||||
\(53\) | −2.84234 | − | 6.22386i | −0.390426 | − | 0.854913i | −0.998152 | − | 0.0607667i | \(-0.980645\pi\) |
0.607726 | − | 0.794147i | \(-0.292082\pi\) | |||||||
\(54\) | −1.37748 | − | 0.320223i | −0.187452 | − | 0.0435769i | ||||
\(55\) | −0.340421 | + | 0.0489451i | −0.0459023 | + | 0.00659976i | ||||
\(56\) | 9.68084 | + | 1.10882i | 1.29366 | + | 0.148172i | ||||
\(57\) | −1.32683 | − | 4.51876i | −0.175743 | − | 0.598525i | ||||
\(58\) | −5.46017 | − | 4.20984i | −0.716955 | − | 0.552779i | ||||
\(59\) | −6.33745 | + | 13.8771i | −0.825066 | + | 1.80664i | −0.305573 | + | 0.952169i | \(0.598848\pi\) |
−0.519493 | + | 0.854474i | \(0.673879\pi\) | |||||||
\(60\) | 6.40734 | + | 1.10796i | 0.827184 | + | 0.143037i | ||||
\(61\) | −3.23927 | − | 3.73831i | −0.414746 | − | 0.478642i | 0.509483 | − | 0.860480i | \(-0.329837\pi\) |
−0.924229 | + | 0.381838i | \(0.875291\pi\) | |||||||
\(62\) | −0.0663530 | + | 0.117514i | −0.00842684 | + | 0.0149243i | ||||
\(63\) | 2.89818 | − | 1.86255i | 0.365136 | − | 0.234659i | ||||
\(64\) | −3.73616 | − | 7.07398i | −0.467019 | − | 0.884247i | ||||
\(65\) | 1.17947 | − | 1.83529i | 0.146295 | − | 0.227640i | ||||
\(66\) | 0.149051 | + | 0.0127920i | 0.0183469 | + | 0.00157459i | ||||
\(67\) | 3.45689 | − | 11.7731i | 0.422326 | − | 1.43831i | −0.424008 | − | 0.905659i | \(-0.639377\pi\) |
0.846334 | − | 0.532653i | \(-0.178805\pi\) | |||||||
\(68\) | 2.10507 | + | 0.683670i | 0.255277 | + | 0.0829072i | ||||
\(69\) | 1.61416 | + | 4.51603i | 0.194322 | + | 0.543666i | ||||
\(70\) | −12.8143 | + | 9.31145i | −1.53160 | + | 1.11293i | ||||
\(71\) | −2.59002 | + | 8.82078i | −0.307378 | + | 1.04683i | 0.650463 | + | 0.759538i | \(0.274575\pi\) |
−0.957842 | + | 0.287297i | \(0.907243\pi\) | |||||||
\(72\) | −2.60555 | − | 1.10050i | −0.307067 | − | 0.129696i | ||||
\(73\) | −1.31153 | − | 0.842871i | −0.153503 | − | 0.0986506i | 0.461634 | − | 0.887070i | \(-0.347263\pi\) |
−0.615138 | + | 0.788420i | \(0.710900\pi\) | |||||||
\(74\) | −4.45276 | − | 8.43755i | −0.517622 | − | 0.980846i | ||||
\(75\) | −4.68611 | + | 3.01158i | −0.541106 | + | 0.347748i | ||||
\(76\) | −1.07493 | − | 9.35752i | −0.123303 | − | 1.07338i | ||||
\(77\) | −0.275416 | + | 0.238650i | −0.0313866 | + | 0.0271966i | ||||
\(78\) | −0.680485 | + | 0.661410i | −0.0770497 | + | 0.0748900i | ||||
\(79\) | −5.50717 | + | 12.0590i | −0.619605 | + | 1.35675i | 0.296201 | + | 0.955126i | \(0.404280\pi\) |
−0.915806 | + | 0.401620i | \(0.868447\pi\) | |||||||
\(80\) | 12.2497 | + | 4.36702i | 1.36956 | + | 0.488248i | ||||
\(81\) | −0.959493 | + | 0.281733i | −0.106610 | + | 0.0313036i | ||||
\(82\) | −0.684172 | − | 3.37537i | −0.0755541 | − | 0.372747i | ||||
\(83\) | −15.2686 | + | 2.19529i | −1.67594 | + | 0.240964i | −0.913718 | − | 0.406349i | \(-0.866802\pi\) |
−0.762224 | + | 0.647313i | \(0.775893\pi\) | |||||||
\(84\) | 6.34632 | − | 2.68297i | 0.692440 | − | 0.292736i | ||||
\(85\) | −3.27283 | + | 1.49465i | −0.354988 | + | 0.162118i | ||||
\(86\) | 2.85052 | + | 1.10959i | 0.307380 | + | 0.119650i | ||||
\(87\) | −4.82563 | − | 0.693821i | −0.517362 | − | 0.0743854i | ||||
\(88\) | 0.289383 | + | 0.0760040i | 0.0308484 | + | 0.00810205i | ||||
\(89\) | 11.9248 | + | 10.3329i | 1.26403 | + | 1.09529i | 0.991082 | + | 0.133256i | \(0.0425432\pi\) |
0.272945 | + | 0.962030i | \(0.412002\pi\) | |||||||
\(90\) | 4.33041 | − | 1.54541i | 0.456466 | − | 0.162901i | ||||
\(91\) | − | 2.31170i | − | 0.242332i | ||||||
\(92\) | 1.64212 | + | 9.45005i | 0.171203 | + | 0.985236i | ||||
\(93\) | 0.0954262i | 0.00989523i | ||||||||
\(94\) | −3.89292 | − | 10.9084i | −0.401524 | − | 1.12511i | ||||
\(95\) | 11.5718 | + | 10.0270i | 1.18724 | + | 1.02875i | ||||
\(96\) | −4.75986 | − | 3.05675i | −0.485801 | − | 0.311978i | ||||
\(97\) | 8.96312 | + | 1.28870i | 0.910067 | + | 0.130848i | 0.581419 | − | 0.813605i | \(-0.302498\pi\) |
0.328648 | + | 0.944452i | \(0.393407\pi\) | |||||||
\(98\) | −2.49755 | + | 6.41616i | −0.252290 | + | 0.648130i | ||||
\(99\) | 0.0962231 | − | 0.0439436i | 0.00967078 | − | 0.00441650i | ||||
\(100\) | −10.2615 | + | 4.33814i | −1.02615 | + | 0.433814i | ||||
\(101\) | 18.8396 | − | 2.70872i | 1.87461 | − | 0.269528i | 0.891565 | − | 0.452893i | \(-0.149608\pi\) |
0.983045 | + | 0.183365i | \(0.0586990\pi\) | |||||||
\(102\) | 1.53385 | − | 0.310905i | 0.151874 | − | 0.0307842i | ||||
\(103\) | −0.453320 | + | 0.133107i | −0.0446670 | + | 0.0131154i | −0.303990 | − | 0.952675i | \(-0.598319\pi\) |
0.259323 | + | 0.965791i | \(0.416501\pi\) | |||||||
\(104\) | −1.56647 | + | 1.07158i | −0.153605 | + | 0.105077i | ||||
\(105\) | −4.65292 | + | 10.1885i | −0.454079 | + | 0.994294i | ||||
\(106\) | −6.74424 | − | 6.93874i | −0.655058 | − | 0.673950i | ||||
\(107\) | −4.64627 | + | 4.02601i | −0.449172 | + | 0.389209i | −0.849863 | − | 0.527004i | \(-0.823315\pi\) |
0.400691 | + | 0.916213i | \(0.368770\pi\) | |||||||
\(108\) | −1.98693 | + | 0.228246i | −0.191193 | + | 0.0219630i | ||||
\(109\) | −5.58070 | + | 3.58650i | −0.534534 | + | 0.343524i | −0.779898 | − | 0.625907i | \(-0.784729\pi\) |
0.245364 | + | 0.969431i | \(0.421093\pi\) | |||||||
\(110\) | −0.430154 | + | 0.227005i | −0.0410136 | + | 0.0216441i | ||||
\(111\) | −5.67517 | − | 3.64721i | −0.538663 | − | 0.346178i | ||||
\(112\) | 13.4213 | − | 3.12475i | 1.26820 | − | 0.295261i | ||||
\(113\) | −4.27392 | + | 14.5556i | −0.402057 | + | 1.36928i | 0.471203 | + | 0.882025i | \(0.343820\pi\) |
−0.873260 | + | 0.487255i | \(0.837998\pi\) | |||||||
\(114\) | −3.91517 | − | 5.38802i | −0.366690 | − | 0.504635i | ||||
\(115\) | −12.3529 | − | 9.51450i | −1.15191 | − | 0.887231i | ||||
\(116\) | −9.27368 | − | 3.01184i | −0.861040 | − | 0.279642i | ||||
\(117\) | −0.189047 | + | 0.643835i | −0.0174774 | + | 0.0595225i | ||||
\(118\) | −1.84484 | + | 21.4958i | −0.169831 | + | 1.97885i | ||||
\(119\) | −2.06119 | + | 3.20728i | −0.188949 | + | 0.294011i | ||||
\(120\) | 9.06083 | − | 1.56990i | 0.827137 | − | 0.143311i | ||||
\(121\) | 9.24438 | − | 5.94100i | 0.840398 | − | 0.540091i | ||||
\(122\) | −6.09145 | − | 3.43947i | −0.551494 | − | 0.311395i | ||||
\(123\) | −1.59477 | − | 1.84046i | −0.143796 | − | 0.165949i | ||||
\(124\) | −0.0325196 | + | 0.188061i | −0.00292035 | + | 0.0168884i | ||||
\(125\) | 0.770377 | − | 1.68689i | 0.0689046 | − | 0.150880i | ||||
\(126\) | 2.97486 | − | 3.85840i | 0.265022 | − | 0.343733i | ||||
\(127\) | −0.661229 | − | 2.25194i | −0.0586746 | − | 0.199827i | 0.924939 | − | 0.380115i | \(-0.124115\pi\) |
−0.983614 | + | 0.180287i | \(0.942297\pi\) | |||||||
\(128\) | −8.33883 | − | 7.64617i | −0.737055 | − | 0.675833i | ||||
\(129\) | 2.14093 | − | 0.307819i | 0.188498 | − | 0.0271020i | ||||
\(130\) | 0.698604 | − | 3.00514i | 0.0612716 | − | 0.263568i | ||||
\(131\) | −0.519254 | − | 1.13701i | −0.0453674 | − | 0.0993408i | 0.885591 | − | 0.464466i | \(-0.153754\pi\) |
−0.930959 | + | 0.365125i | \(0.881026\pi\) | |||||||
\(132\) | 0.204607 | − | 0.0538108i | 0.0178088 | − | 0.00468363i | ||||
\(133\) | 16.0595 | + | 2.30901i | 1.39254 | + | 0.200217i | ||||
\(134\) | −0.991786 | − | 17.3242i | −0.0856773 | − | 1.49658i | ||||
\(135\) | 2.12909 | − | 2.45710i | 0.183243 | − | 0.211474i | ||||
\(136\) | 3.12880 | − | 0.0900058i | 0.268292 | − | 0.00771794i | ||||
\(137\) | − | 11.9394i | − | 1.02005i | −0.860159 | − | 0.510025i | \(-0.829636\pi\) | ||
0.860159 | − | 0.510025i | \(-0.170364\pi\) | |||||||
\(138\) | 4.29658 | + | 5.24780i | 0.365749 | + | 0.446722i | ||||
\(139\) | 17.9863 | 1.52558 | 0.762789 | − | 0.646648i | \(-0.223830\pi\) | ||||
0.762789 | + | 0.646648i | \(0.223830\pi\) | |||||||
\(140\) | −12.6418 | + | 18.4933i | −1.06843 | + | 1.56297i | ||||
\(141\) | −6.18949 | − | 5.36322i | −0.521249 | − | 0.451665i | ||||
\(142\) | 0.743079 | + | 12.9799i | 0.0623578 | + | 1.08925i | ||||
\(143\) | 0.0101017 | − | 0.0702592i | 0.000844750 | − | 0.00587537i | ||||
\(144\) | −3.99354 | − | 0.227295i | −0.332795 | − | 0.0189413i | ||||
\(145\) | 14.4181 | − | 6.58453i | 1.19736 | − | 0.546816i | ||||
\(146\) | −2.14753 | − | 0.499236i | −0.177731 | − | 0.0413170i | ||||
\(147\) | 0.692862 | + | 4.81896i | 0.0571463 | + | 0.397461i | ||||
\(148\) | −9.94145 | − | 9.12175i | −0.817182 | − | 0.749803i | ||||
\(149\) | −9.44712 | + | 2.77392i | −0.773938 | + | 0.227249i | −0.644773 | − | 0.764374i | \(-0.723048\pi\) |
−0.129165 | + | 0.991623i | \(0.541230\pi\) | |||||||
\(150\) | −4.81010 | + | 6.23871i | −0.392743 | + | 0.509389i | ||||
\(151\) | −5.97412 | − | 2.72829i | −0.486167 | − | 0.222025i | 0.157224 | − | 0.987563i | \(-0.449746\pi\) |
−0.643391 | + | 0.765538i | \(0.722473\pi\) | |||||||
\(152\) | −5.87969 | − | 11.9527i | −0.476906 | − | 0.969491i | ||||
\(153\) | 0.836353 | − | 0.724704i | 0.0676152 | − | 0.0585889i | ||||
\(154\) | −0.253399 | + | 0.448781i | −0.0204195 | + | 0.0361638i | ||||
\(155\) | −0.167734 | − | 0.261000i | −0.0134727 | − | 0.0209640i | ||||
\(156\) | −0.591973 | + | 1.20442i | −0.0473957 | + | 0.0964304i | ||||
\(157\) | 3.74675 | + | 2.40789i | 0.299023 | + | 0.192171i | 0.681546 | − | 0.731776i | \(-0.261308\pi\) |
−0.382522 | + | 0.923946i | \(0.624944\pi\) | |||||||
\(158\) | −1.60314 | + | 18.6796i | −0.127539 | + | 1.48607i | ||||
\(159\) | −6.56502 | − | 1.92766i | −0.520640 | − | 0.152874i | ||||
\(160\) | 18.3916 | − | 0.00610168i | 1.45399 | − | 0.000482380i | ||||
\(161\) | −16.4622 | − | 1.40468i | −1.29740 | − | 0.110704i | ||||
\(162\) | −1.14407 | + | 0.831330i | −0.0898864 | + | 0.0653154i | ||||
\(163\) | −20.3084 | − | 5.96307i | −1.59067 | − | 0.467064i | −0.637743 | − | 0.770250i | \(-0.720132\pi\) |
−0.952932 | + | 0.303186i | \(0.901950\pi\) | |||||||
\(164\) | −2.51570 | − | 4.17057i | −0.196443 | − | 0.325667i | ||||
\(165\) | −0.185938 | + | 0.289325i | −0.0144752 | + | 0.0225239i | ||||
\(166\) | −19.2933 | + | 10.1817i | −1.49745 | + | 0.790250i | ||||
\(167\) | 4.58653 | + | 7.13678i | 0.354917 | + | 0.552261i | 0.972103 | − | 0.234556i | \(-0.0753637\pi\) |
−0.617186 | + | 0.786817i | \(0.711727\pi\) | |||||||
\(168\) | 7.17759 | − | 6.59017i | 0.553763 | − | 0.508442i | ||||
\(169\) | −8.21833 | − | 9.48446i | −0.632179 | − | 0.729574i | ||||
\(170\) | −3.64874 | + | 3.54647i | −0.279846 | + | 0.272002i | ||||
\(171\) | −4.28394 | − | 1.95641i | −0.327601 | − | 0.149610i | ||||
\(172\) | 4.32414 | + | 0.122956i | 0.329713 | + | 0.00937534i | ||||
\(173\) | −6.58548 | − | 22.4281i | −0.500685 | − | 1.70518i | −0.690480 | − | 0.723352i | \(-0.742600\pi\) |
0.189795 | − | 0.981824i | \(-0.439218\pi\) | |||||||
\(174\) | −6.75724 | + | 1.36966i | −0.512265 | + | 0.103834i | ||||
\(175\) | −2.73108 | − | 18.9951i | −0.206450 | − | 1.43589i | ||||
\(176\) | 0.421568 | − | 0.0363212i | 0.0317769 | − | 0.00273781i | ||||
\(177\) | 6.33745 | + | 13.8771i | 0.476352 | + | 1.04307i | ||||
\(178\) | 20.7947 | + | 8.09452i | 1.55863 | + | 0.606710i | ||||
\(179\) | 1.32853 | − | 9.24014i | 0.0992991 | − | 0.690640i | −0.877982 | − | 0.478693i | \(-0.841111\pi\) |
0.977281 | − | 0.211947i | \(-0.0679804\pi\) | |||||||
\(180\) | 5.03325 | − | 4.11679i | 0.375157 | − | 0.306847i | ||||
\(181\) | 13.0027 | − | 15.0059i | 0.966480 | − | 1.11538i | −0.0267994 | − | 0.999641i | \(-0.508532\pi\) |
0.993280 | − | 0.115737i | \(-0.0369230\pi\) | |||||||
\(182\) | −1.09883 | − | 3.07903i | −0.0814505 | − | 0.228233i | ||||
\(183\) | −4.94650 | −0.365656 | ||||||||
\(184\) | 6.67913 | + | 11.8063i | 0.492392 | + | 0.870373i | ||||
\(185\) | 21.9330 | 1.61254 | ||||||||
\(186\) | 0.0453593 | + | 0.127102i | 0.00332591 | + | 0.00931955i | ||||
\(187\) | −0.0766610 | + | 0.0884715i | −0.00560601 | + | 0.00646967i | ||||
\(188\) | −10.3703 | − | 12.6789i | −0.756329 | − | 0.924701i | ||||
\(189\) | 0.490285 | − | 3.41001i | 0.0356630 | − | 0.248041i | ||||
\(190\) | 20.1791 | + | 7.85490i | 1.46395 | + | 0.569854i | ||||
\(191\) | 7.70256 | + | 16.8663i | 0.557338 | + | 1.22040i | 0.953270 | + | 0.302120i | \(0.0976944\pi\) |
−0.395932 | + | 0.918280i | \(0.629578\pi\) | |||||||
\(192\) | −7.79282 | − | 1.80887i | −0.562398 | − | 0.130544i | ||||
\(193\) | 1.88981 | + | 13.1439i | 0.136032 | + | 0.946122i | 0.937475 | + | 0.348052i | \(0.113157\pi\) |
−0.801444 | + | 0.598070i | \(0.795934\pi\) | |||||||
\(194\) | 12.5509 | − | 2.54400i | 0.901101 | − | 0.182649i | ||||
\(195\) | −0.614632 | − | 2.09324i | −0.0440147 | − | 0.149900i | ||||
\(196\) | −0.276759 | + | 9.73309i | −0.0197685 | + | 0.695221i | ||||
\(197\) | −15.4327 | − | 7.04789i | −1.09954 | − | 0.502142i | −0.218811 | − | 0.975767i | \(-0.570218\pi\) |
−0.880726 | + | 0.473626i | \(0.842945\pi\) | |||||||
\(198\) | 0.107275 | − | 0.104268i | 0.00762372 | − | 0.00741002i | ||||
\(199\) | 4.69281 | + | 5.41579i | 0.332664 | + | 0.383915i | 0.897297 | − | 0.441427i | \(-0.145528\pi\) |
−0.564633 | + | 0.825342i | \(0.690982\pi\) | |||||||
\(200\) | −11.6056 | + | 10.6558i | −0.820638 | + | 0.753476i | ||||
\(201\) | −6.63372 | − | 10.3223i | −0.467907 | − | 0.728077i | ||||
\(202\) | 23.8056 | − | 12.5630i | 1.67496 | − | 0.883926i | ||||
\(203\) | 9.08038 | − | 14.1294i | 0.637318 | − | 0.991686i | ||||
\(204\) | 1.89521 | − | 1.14320i | 0.132691 | − | 0.0800399i | ||||
\(205\) | 7.59691 | + | 2.23065i | 0.530591 | + | 0.155796i | ||||
\(206\) | −0.540524 | + | 0.392769i | −0.0376601 | + | 0.0273655i | ||||
\(207\) | 4.47003 | + | 1.73747i | 0.310689 | + | 0.120762i | ||||
\(208\) | −1.57708 | + | 2.17187i | −0.109351 | + | 0.150592i | ||||
\(209\) | 0.478006 | + | 0.140355i | 0.0330643 | + | 0.00970857i | ||||
\(210\) | −1.35447 | + | 15.7821i | −0.0934675 | + | 1.08907i | ||||
\(211\) | −0.102711 | − | 0.0660086i | −0.00707094 | − | 0.00454422i | 0.537101 | − | 0.843518i | \(-0.319520\pi\) |
−0.544172 | + | 0.838974i | \(0.683156\pi\) | |||||||
\(212\) | −12.2811 | − | 6.03620i | −0.843471 | − | 0.414568i | ||||
\(213\) | 4.97020 | + | 7.73379i | 0.340553 | + | 0.529910i | ||||
\(214\) | −4.27484 | + | 7.57093i | −0.292222 | + | 0.517538i | ||||
\(215\) | −5.31458 | + | 4.60511i | −0.362451 | + | 0.314066i | ||||
\(216\) | −2.53798 | + | 1.24847i | −0.172688 | + | 0.0849474i | ||||
\(217\) | −0.299041 | − | 0.136568i | −0.0203003 | − | 0.00927082i | ||||
\(218\) | −5.72835 | + | 7.42968i | −0.387973 | + | 0.503202i | ||||
\(219\) | −1.49587 | + | 0.439228i | −0.101082 | + | 0.0296802i | ||||
\(220\) | −0.465035 | + | 0.506824i | −0.0313526 | + | 0.0341700i | ||||
\(221\) | −0.105680 | − | 0.735024i | −0.00710883 | − | 0.0494430i | ||||
\(222\) | −9.29261 | − | 2.16025i | −0.623679 | − | 0.144987i | ||||
\(223\) | 11.7191 | − | 5.35195i | 0.784772 | − | 0.358393i | 0.0176084 | − | 0.999845i | \(-0.494395\pi\) |
0.767163 | + | 0.641452i | \(0.221668\pi\) | |||||||
\(224\) | 16.3911 | − | 10.5416i | 1.09517 | − | 0.704340i | ||||
\(225\) | −0.792750 | + | 5.51370i | −0.0528500 | + | 0.367580i | ||||
\(226\) | 1.22619 | + | 21.4187i | 0.0815652 | + | 1.42475i | ||||
\(227\) | 21.2267 | + | 18.3930i | 1.40886 | + | 1.22079i | 0.941628 | + | 0.336655i | \(0.109296\pi\) |
0.467236 | + | 0.884133i | \(0.345250\pi\) | |||||||
\(228\) | −7.77588 | − | 5.31549i | −0.514970 | − | 0.352027i | ||||
\(229\) | −13.2720 | −0.877042 | −0.438521 | − | 0.898721i | \(-0.644497\pi\) | ||||
−0.438521 | + | 0.898721i | \(0.644497\pi\) | |||||||
\(230\) | −20.9758 | − | 6.80097i | −1.38310 | − | 0.448443i | ||||
\(231\) | 0.364428i | 0.0239776i | ||||||||
\(232\) | −13.7836 | + | 0.396512i | −0.904937 | + | 0.0260323i | ||||
\(233\) | −0.740903 | + | 0.855047i | −0.0485381 | + | 0.0560160i | −0.779499 | − | 0.626403i | \(-0.784527\pi\) |
0.730961 | + | 0.682419i | \(0.239072\pi\) | |||||||
\(234\) | 0.0542378 | + | 0.947408i | 0.00354564 | + | 0.0619340i | ||||
\(235\) | 26.3560 | + | 3.78942i | 1.71928 | + | 0.247194i | ||||
\(236\) | 7.76048 | + | 29.5080i | 0.505164 | + | 1.92081i | ||||
\(237\) | 5.50717 | + | 12.0590i | 0.357729 | + | 0.783317i | ||||
\(238\) | −1.22085 | + | 5.25165i | −0.0791361 | + | 0.340414i | ||||
\(239\) | −2.49185 | + | 0.358274i | −0.161184 | + | 0.0231748i | −0.222435 | − | 0.974948i | \(-0.571400\pi\) |
0.0612501 | + | 0.998122i | \(0.480491\pi\) | |||||||
\(240\) | 11.3222 | − | 6.39792i | 0.730847 | − | 0.412984i | ||||
\(241\) | −2.28900 | − | 7.79562i | −0.147448 | − | 0.502160i | 0.852335 | − | 0.522996i | \(-0.175186\pi\) |
−0.999783 | + | 0.0208354i | \(0.993367\pi\) | |||||||
\(242\) | 9.48897 | − | 12.3072i | 0.609974 | − | 0.791137i | ||||
\(243\) | −0.415415 | + | 0.909632i | −0.0266489 | + | 0.0583529i | ||||
\(244\) | −9.74833 | − | 1.68568i | −0.624073 | − | 0.107915i | ||||
\(245\) | −10.3655 | − | 11.9624i | −0.662229 | − | 0.764253i | ||||
\(246\) | −2.99897 | − | 1.69333i | −0.191207 | − | 0.107963i | ||||
\(247\) | −2.65850 | + | 1.70852i | −0.169156 | + | 0.108710i | ||||
\(248\) | 0.0460779 | + | 0.265944i | 0.00292595 | + | 0.0168874i | ||||
\(249\) | −8.33969 | + | 12.9768i | −0.528507 | + | 0.822372i | ||||
\(250\) | 0.224258 | − | 2.61302i | 0.0141833 | − | 0.165262i | ||||
\(251\) | −2.51440 | + | 8.56326i | −0.158707 | + | 0.540508i | −1.00000 | 7.21133e-5i | \(-0.999977\pi\) | |
0.841293 | + | 0.540580i | \(0.181795\pi\) | |||||||
\(252\) | 2.12830 | − | 6.55320i | 0.134070 | − | 0.412813i | ||||
\(253\) | −0.494195 | − | 0.114629i | −0.0310697 | − | 0.00720668i | ||||
\(254\) | −1.95114 | − | 2.68514i | −0.122425 | − | 0.168480i | ||||
\(255\) | −1.01367 | + | 3.45223i | −0.0634782 | + | 0.216187i | ||||
\(256\) | −14.7413 | − | 6.22050i | −0.921330 | − | 0.388781i | ||||
\(257\) | −1.07112 | − | 0.688367i | −0.0668146 | − | 0.0429391i | 0.506807 | − | 0.862060i | \(-0.330826\pi\) |
−0.573622 | + | 0.819120i | \(0.694462\pi\) | |||||||
\(258\) | 2.70527 | − | 1.42765i | 0.168423 | − | 0.0888817i | ||||
\(259\) | 19.5514 | − | 12.5649i | 1.21486 | − | 0.780745i | ||||
\(260\) | −0.497946 | − | 4.33472i | −0.0308813 | − | 0.268828i | ||||
\(261\) | −3.68447 | + | 3.19261i | −0.228063 | + | 0.197618i | ||||
\(262\) | −1.23207 | − | 1.26760i | −0.0761177 | − | 0.0783128i | ||||
\(263\) | −2.32810 | + | 5.09783i | −0.143557 | + | 0.314346i | −0.967729 | − | 0.251994i | \(-0.918914\pi\) |
0.824172 | + | 0.566340i | \(0.191641\pi\) | |||||||
\(264\) | 0.246946 | − | 0.168929i | 0.0151985 | − | 0.0103969i | ||||
\(265\) | 21.3443 | − | 6.26725i | 1.31117 | − | 0.384994i | ||||
\(266\) | 22.4878 | − | 4.55818i | 1.37882 | − | 0.279480i | ||||
\(267\) | 15.6182 | − | 2.24555i | 0.955817 | − | 0.137426i | ||||
\(268\) | −9.55577 | − | 22.6033i | −0.583712 | − | 1.38072i | ||||
\(269\) | 7.49425 | − | 3.42251i | 0.456932 | − | 0.208674i | −0.173633 | − | 0.984811i | \(-0.555551\pi\) |
0.630565 | + | 0.776136i | \(0.282823\pi\) | |||||||
\(270\) | 1.66787 | − | 4.28474i | 0.101504 | − | 0.260761i | ||||
\(271\) | −15.0886 | − | 2.16941i | −0.916566 | − | 0.131782i | −0.332141 | − | 0.943230i | \(-0.607771\pi\) |
−0.584425 | + | 0.811447i | \(0.698680\pi\) | |||||||
\(272\) | 4.12458 | − | 1.60711i | 0.250089 | − | 0.0974451i | ||||
\(273\) | −1.74706 | − | 1.51384i | −0.105737 | − | 0.0916217i | ||||
\(274\) | −5.67519 | − | 15.9025i | −0.342851 | − | 0.960706i | ||||
\(275\) | − | 0.589250i | − | 0.0355331i | ||||||
\(276\) | 8.21723 | + | 4.94743i | 0.494619 | + | 0.297801i | ||||
\(277\) | − | 1.21009i | − | 0.0727071i | −0.999339 | − | 0.0363536i | \(-0.988426\pi\) | ||
0.999339 | − | 0.0363536i | \(-0.0115742\pi\) | |||||||
\(278\) | 23.9566 | − | 8.54950i | 1.43682 | − | 0.512765i | ||||
\(279\) | 0.0721183 | + | 0.0624909i | 0.00431761 | + | 0.00374123i | ||||
\(280\) | −8.04760 | + | 30.6411i | −0.480936 | + | 1.83115i | ||||
\(281\) | −10.0984 | − | 1.45193i | −0.602418 | − | 0.0866147i | −0.165644 | − | 0.986186i | \(-0.552970\pi\) |
−0.436775 | + | 0.899571i | \(0.643879\pi\) | |||||||
\(282\) | −10.7933 | − | 4.20140i | −0.642734 | − | 0.250190i | ||||
\(283\) | −2.20786 | + | 1.00830i | −0.131244 | + | 0.0599370i | −0.479955 | − | 0.877293i | \(-0.659347\pi\) |
0.348711 | + | 0.937230i | \(0.386620\pi\) | |||||||
\(284\) | 7.15950 | + | 16.9351i | 0.424838 | + | 1.00492i | ||||
\(285\) | 15.1558 | − | 2.17908i | 0.897755 | − | 0.129078i | ||||
\(286\) | −0.0199417 | − | 0.0983825i | −0.00117918 | − | 0.00581748i | ||||
\(287\) | 8.04988 | − | 2.36366i | 0.475169 | − | 0.139522i | ||||
\(288\) | −5.42718 | + | 1.59552i | −0.319800 | + | 0.0940170i | ||||
\(289\) | 6.55330 | − | 14.3497i | 0.385488 | − | 0.844102i | ||||
\(290\) | 16.0742 | − | 15.6236i | 0.943908 | − | 0.917450i | ||||
\(291\) | 6.84353 | − | 5.92995i | 0.401175 | − | 0.347620i | ||||
\(292\) | −3.09767 | + | 0.355842i | −0.181278 | + | 0.0208241i | ||||
\(293\) | −0.520259 | + | 0.334350i | −0.0303938 | + | 0.0195329i | −0.555750 | − | 0.831350i | \(-0.687569\pi\) |
0.525356 | + | 0.850883i | \(0.323932\pi\) | |||||||
\(294\) | 3.21346 | + | 6.08921i | 0.187413 | + | 0.355130i | ||||
\(295\) | −41.7258 | − | 26.8156i | −2.42937 | − | 1.56126i | ||||
\(296\) | −17.5773 | − | 7.42409i | −1.02166 | − | 0.431517i | ||||
\(297\) | 0.0298024 | − | 0.101497i | 0.00172931 | − | 0.00588948i | ||||
\(298\) | −11.2644 | + | 8.18523i | −0.652531 | + | 0.474158i | ||||
\(299\) | 2.60242 | − | 1.89299i | 0.150502 | − | 0.109475i | ||||
\(300\) | −3.44129 | + | 10.5960i | −0.198683 | + | 0.611759i | ||||
\(301\) | −2.09933 | + | 7.14966i | −0.121003 | + | 0.412100i | ||||
\(302\) | −9.25400 | − | 0.794208i | −0.532508 | − | 0.0457015i | ||||
\(303\) | 10.2902 | − | 16.0119i | 0.591156 | − | 0.919857i | ||||
\(304\) | −13.5129 | − | 13.1254i | −0.775018 | − | 0.752794i | ||||
\(305\) | 13.5291 | − | 8.69465i | 0.774677 | − | 0.497854i | ||||
\(306\) | 0.769494 | − | 1.36281i | 0.0439890 | − | 0.0779065i | ||||
\(307\) | 9.31105 | + | 10.7455i | 0.531410 | + | 0.613279i | 0.956450 | − | 0.291895i | \(-0.0942857\pi\) |
−0.425041 | + | 0.905174i | \(0.639740\pi\) | |||||||
\(308\) | −0.124191 | + | 0.718197i | −0.00707643 | + | 0.0409231i | ||||
\(309\) | −0.196266 | + | 0.429763i | −0.0111652 | + | 0.0244484i | ||||
\(310\) | −0.347474 | − | 0.267905i | −0.0197352 | − | 0.0152160i | ||||
\(311\) | 3.78112 | + | 12.8773i | 0.214407 | + | 0.730205i | 0.994518 | + | 0.104563i | \(0.0333445\pi\) |
−0.780111 | + | 0.625641i | \(0.784837\pi\) | |||||||
\(312\) | −0.215971 | + | 1.88559i | −0.0122270 | + | 0.106751i | ||||
\(313\) | −4.83138 | + | 0.694648i | −0.273086 | + | 0.0392638i | −0.277497 | − | 0.960726i | \(-0.589505\pi\) |
0.00441126 | + | 0.999990i | \(0.498596\pi\) | |||||||
\(314\) | 6.13499 | + | 1.42620i | 0.346218 | + | 0.0804852i | ||||
\(315\) | 4.65292 | + | 10.1885i | 0.262163 | + | 0.574056i | ||||
\(316\) | 6.74376 | + | 25.6421i | 0.379366 | + | 1.44248i | ||||
\(317\) | −8.18367 | − | 1.17663i | −0.459641 | − | 0.0660864i | −0.0913948 | − | 0.995815i | \(-0.529133\pi\) |
−0.368246 | + | 0.929728i | \(0.620042\pi\) | |||||||
\(318\) | −9.66048 | + | 0.553049i | −0.541733 | + | 0.0310135i | ||||
\(319\) | 0.337722 | − | 0.389752i | 0.0189088 | − | 0.0218219i | ||||
\(320\) | 24.4936 | − | 8.75030i | 1.36924 | − | 0.489157i | ||||
\(321\) | 6.14789i | 0.343142i | ||||||||
\(322\) | −22.5943 | + | 5.95408i | −1.25913 | + | 0.331808i | ||||
\(323\) | 5.21182 | 0.289994 | ||||||||
\(324\) | −1.12867 | + | 1.65109i | −0.0627037 | + | 0.0917274i | ||||
\(325\) | 2.82486 | + | 2.44775i | 0.156695 | + | 0.135777i | ||||
\(326\) | −29.8839 | + | 1.71081i | −1.65512 | + | 0.0947532i | ||||
\(327\) | −0.944086 | + | 6.56626i | −0.0522081 | + | 0.363115i | ||||
\(328\) | −5.33317 | − | 4.35914i | −0.294475 | − | 0.240693i | ||||
\(329\) | 25.6650 | − | 11.7208i | 1.41496 | − | 0.646189i | ||||
\(330\) | −0.110132 | + | 0.473745i | −0.00606255 | + | 0.0260788i | ||||
\(331\) | 3.88772 | + | 27.0397i | 0.213688 | + | 1.48624i | 0.760696 | + | 0.649108i | \(0.224858\pi\) |
−0.547008 | + | 0.837128i | \(0.684233\pi\) | |||||||
\(332\) | −20.8578 | + | 22.7321i | −1.14472 | + | 1.24758i | ||||
\(333\) | −6.47282 | + | 1.90059i | −0.354709 | + | 0.104152i | ||||
\(334\) | 9.50133 | + | 7.32562i | 0.519890 | + | 0.400840i | ||||
\(335\) | 36.2877 | + | 16.5720i | 1.98261 | + | 0.905428i | ||||
\(336\) | 6.42757 | − | 12.1894i | 0.350653 | − | 0.664989i | ||||
\(337\) | −4.57305 | + | 3.96257i | −0.249110 | + | 0.215855i | −0.770461 | − | 0.637487i | \(-0.779974\pi\) |
0.521351 | + | 0.853343i | \(0.325428\pi\) | |||||||
\(338\) | −15.4546 | − | 8.72626i | −0.840619 | − | 0.474646i | ||||
\(339\) | 8.20159 | + | 12.7619i | 0.445449 | + | 0.693133i | ||||
\(340\) | −3.17414 | + | 6.45805i | −0.172142 | + | 0.350237i | ||||
\(341\) | −0.00849196 | − | 0.00545745i | −0.000459865 | − | 0.000295538i | ||||
\(342\) | −6.63589 | − | 0.569513i | −0.358828 | − | 0.0307958i | ||||
\(343\) | 7.04567 | + | 2.06880i | 0.380431 | + | 0.111705i | ||||
\(344\) | 5.81793 | − | 1.89164i | 0.313682 | − | 0.101990i | ||||
\(345\) | −15.2800 | + | 3.10501i | −0.822647 | + | 0.167168i | ||||
\(346\) | −19.4323 | − | 26.7425i | −1.04469 | − | 1.43769i | ||||
\(347\) | 28.3168 | + | 8.31455i | 1.52012 | + | 0.446349i | 0.932011 | − | 0.362430i | \(-0.118053\pi\) |
0.588113 | + | 0.808779i | \(0.299871\pi\) | |||||||
\(348\) | −8.34917 | + | 5.03625i | −0.447562 | + | 0.269971i | ||||
\(349\) | −4.02721 | + | 6.26645i | −0.215571 | + | 0.335436i | −0.932151 | − | 0.362070i | \(-0.882070\pi\) |
0.716580 | + | 0.697505i | \(0.245707\pi\) | |||||||
\(350\) | −12.6666 | − | 24.0021i | −0.677060 | − | 1.28297i | ||||
\(351\) | 0.362778 | + | 0.564494i | 0.0193637 | + | 0.0301305i | ||||
\(352\) | 0.544237 | − | 0.248763i | 0.0290080 | − | 0.0132591i | ||||
\(353\) | −19.1685 | − | 22.1216i | −1.02024 | − | 1.17741i | −0.984018 | − | 0.178071i | \(-0.943014\pi\) |
−0.0362179 | − | 0.999344i | \(-0.511531\pi\) | |||||||
\(354\) | 15.0373 | + | 15.4710i | 0.799226 | + | 0.822275i | ||||
\(355\) | −27.1880 | − | 12.4163i | −1.44299 | − | 0.658990i | ||||
\(356\) | 31.5448 | + | 0.896973i | 1.67187 | + | 0.0475395i | ||||
\(357\) | 1.07411 | + | 3.65807i | 0.0568477 | + | 0.193606i | ||||
\(358\) | −2.62263 | − | 12.9388i | −0.138610 | − | 0.683836i | ||||
\(359\) | −2.78692 | − | 19.3834i | −0.147088 | − | 1.02302i | −0.920955 | − | 0.389670i | \(-0.872589\pi\) |
0.773867 | − | 0.633348i | \(-0.218320\pi\) | |||||||
\(360\) | 4.74713 | − | 7.87578i | 0.250196 | − | 0.415090i | ||||
\(361\) | −1.32089 | − | 2.89234i | −0.0695205 | − | 0.152229i | ||||
\(362\) | 10.1859 | − | 26.1675i | 0.535361 | − | 1.37533i | ||||
\(363\) | 1.56387 | − | 10.8770i | 0.0820819 | − | 0.570892i | ||||
\(364\) | −2.92714 | − | 3.57877i | −0.153424 | − | 0.187579i | ||||
\(365\) | 3.31930 | − | 3.83068i | 0.173740 | − | 0.200507i | ||||
\(366\) | −6.58843 | + | 2.35124i | −0.344383 | + | 0.122901i | ||||
\(367\) | 28.1273 | 1.46823 | 0.734117 | − | 0.679023i | \(-0.237596\pi\) | ||||
0.734117 | + | 0.679023i | \(0.237596\pi\) | |||||||
\(368\) | 14.5081 | + | 12.5505i | 0.756289 | + | 0.654238i | ||||
\(369\) | −2.43528 | −0.126776 | ||||||||
\(370\) | 29.2134 | − | 10.4255i | 1.51873 | − | 0.541995i | ||||
\(371\) | 15.4362 | − | 17.8144i | 0.801410 | − | 0.924876i | ||||
\(372\) | 0.120832 | + | 0.147731i | 0.00626482 | + | 0.00765948i | ||||
\(373\) | −4.22177 | + | 29.3630i | −0.218595 | + | 1.52036i | 0.524636 | + | 0.851326i | \(0.324201\pi\) |
−0.743231 | + | 0.669034i | \(0.766708\pi\) | |||||||
\(374\) | −0.0600541 | + | 0.154278i | −0.00310532 | + | 0.00797753i | ||||
\(375\) | −0.770377 | − | 1.68689i | −0.0397821 | − | 0.0871107i | ||||
\(376\) | −19.8392 | − | 11.9581i | −1.02313 | − | 0.616693i | ||||
\(377\) | 0.465565 | + | 3.23807i | 0.0239778 | + | 0.166769i | ||||
\(378\) | −0.967863 | − | 4.77496i | −0.0497815 | − | 0.245598i | ||||
\(379\) | 6.59020 | + | 22.4442i | 0.338516 | + | 1.15288i | 0.936294 | + | 0.351217i | \(0.114232\pi\) |
−0.597778 | + | 0.801662i | \(0.703950\pi\) | |||||||
\(380\) | 30.6110 | + | 0.870421i | 1.57031 | + | 0.0446517i | ||||
\(381\) | −2.13491 | − | 0.974983i | −0.109375 | − | 0.0499499i | ||||
\(382\) | 18.2764 | + | 18.8035i | 0.935104 | + | 0.962072i | ||||
\(383\) | −14.6864 | − | 16.9490i | −0.750438 | − | 0.866051i | 0.244173 | − | 0.969732i | \(-0.421484\pi\) |
−0.994611 | + | 0.103681i | \(0.966938\pi\) | |||||||
\(384\) | −11.2394 | + | 1.29489i | −0.573556 | + | 0.0660794i | ||||
\(385\) | −0.640569 | − | 0.996745i | −0.0326464 | − | 0.0507988i | ||||
\(386\) | 8.76488 | + | 16.6086i | 0.446121 | + | 0.845357i | ||||
\(387\) | 1.16938 | − | 1.81958i | 0.0594427 | − | 0.0924947i | ||||
\(388\) | 15.5077 | − | 9.35431i | 0.787286 | − | 0.474893i | ||||
\(389\) | 30.1438 | + | 8.85103i | 1.52835 | + | 0.448765i | 0.934546 | − | 0.355842i | \(-0.115806\pi\) |
0.593808 | + | 0.804607i | \(0.297624\pi\) | |||||||
\(390\) | −1.81364 | − | 2.49592i | −0.0918373 | − | 0.126386i | ||||
\(391\) | −5.29850 | + | 0.305947i | −0.267957 | + | 0.0154724i | ||||
\(392\) | 4.25784 | + | 13.0954i | 0.215054 | + | 0.661419i | ||||
\(393\) | −1.19933 | − | 0.352156i | −0.0604983 | − | 0.0177639i | ||||
\(394\) | −23.9055 | − | 2.05165i | −1.20434 | − | 0.103361i | ||||
\(395\) | −36.2592 | − | 23.3024i | −1.82440 | − | 1.17247i | ||||
\(396\) | 0.0933217 | − | 0.189870i | 0.00468959 | − | 0.00954134i | ||||
\(397\) | 11.3030 | + | 17.5878i | 0.567280 | + | 0.882706i | 0.999821 | − | 0.0189088i | \(-0.00601921\pi\) |
−0.432541 | + | 0.901614i | \(0.642383\pi\) | |||||||
\(398\) | 8.82483 | + | 4.98284i | 0.442349 | + | 0.249767i | ||||
\(399\) | 12.2618 | − | 10.6249i | 0.613857 | − | 0.531910i | ||||
\(400\) | −10.3929 | + | 19.7093i | −0.519643 | + | 0.985466i | ||||
\(401\) | 20.7736 | + | 9.48697i | 1.03738 | + | 0.473757i | 0.859951 | − | 0.510377i | \(-0.170494\pi\) |
0.177431 | + | 0.984133i | \(0.443221\pi\) | |||||||
\(402\) | −13.7422 | − | 10.5954i | −0.685400 | − | 0.528450i | ||||
\(403\) | 0.0614387 | − | 0.0180400i | 0.00306048 | − | 0.000898638i | ||||
\(404\) | 25.7360 | − | 28.0487i | 1.28041 | − | 1.39547i | ||||
\(405\) | −0.462696 | − | 3.21812i | −0.0229916 | − | 0.159910i | ||||
\(406\) | 5.37834 | − | 23.1356i | 0.266923 | − | 1.14820i | ||||
\(407\) | 0.649129 | − | 0.296447i | 0.0321761 | − | 0.0146944i | ||||
\(408\) | 1.98090 | − | 2.42353i | 0.0980693 | − | 0.119982i | ||||
\(409\) | −4.21660 | + | 29.3271i | −0.208497 | + | 1.45013i | 0.569567 | + | 0.821945i | \(0.307111\pi\) |
−0.778064 | + | 0.628185i | \(0.783798\pi\) | |||||||
\(410\) | 11.1789 | − | 0.639977i | 0.552087 | − | 0.0316062i | ||||
\(411\) | −9.02318 | − | 7.81863i | −0.445081 | − | 0.385665i | ||||
\(412\) | −0.533248 | + | 0.780073i | −0.0262712 | + | 0.0384314i | ||||
\(413\) | −52.5570 | −2.58616 | ||||||||
\(414\) | 6.77968 | + | 0.189442i | 0.333203 | + | 0.00931055i | ||||
\(415\) | − | 50.1518i | − | 2.46186i | ||||||
\(416\) | −1.06820 | + | 3.64243i | −0.0523729 | + | 0.178585i | ||||
\(417\) | 11.7785 | − | 13.5931i | 0.576796 | − | 0.665659i | ||||
\(418\) | 0.703389 | − | 0.0402681i | 0.0344039 | − | 0.00196958i | ||||
\(419\) | −7.17754 | − | 1.03198i | −0.350646 | − | 0.0504153i | −0.0352584 | − | 0.999378i | \(-0.511225\pi\) |
−0.315388 | + | 0.948963i | \(0.602135\pi\) | |||||||
\(420\) | 5.69770 | + | 21.6646i | 0.278019 | + | 1.05713i | ||||
\(421\) | 7.47958 | + | 16.3780i | 0.364532 | + | 0.798214i | 0.999667 | + | 0.0258128i | \(0.00821737\pi\) |
−0.635135 | + | 0.772402i | \(0.719055\pi\) | |||||||
\(422\) | −0.168181 | − | 0.0390971i | −0.00818694 | − | 0.00190322i | ||||
\(423\) | −8.10651 | + | 1.16554i | −0.394152 | + | 0.0566705i | ||||
\(424\) | −19.2269 | − | 2.20220i | −0.933741 | − | 0.106948i | ||||
\(425\) | −1.73674 | − | 5.91479i | −0.0842443 | − | 0.286910i | ||||
\(426\) | 10.2961 | + | 7.93841i | 0.498849 | + | 0.384617i | ||||
\(427\) | 7.07910 | − | 15.5011i | 0.342582 | − | 0.750150i | ||||
\(428\) | −2.09510 | + | 12.1160i | −0.101270 | + | 0.585648i | ||||
\(429\) | −0.0464831 | − | 0.0536443i | −0.00224422 | − | 0.00258997i | ||||
\(430\) | −4.88972 | + | 8.65992i | −0.235803 | + | 0.417618i | ||||
\(431\) | 29.8892 | − | 19.2086i | 1.43971 | − | 0.925248i | 0.440086 | − | 0.897956i | \(-0.354948\pi\) |
0.999628 | − | 0.0272918i | \(-0.00868832\pi\) | |||||||
\(432\) | −2.78699 | + | 2.86927i | −0.134089 | + | 0.138048i | ||||
\(433\) | −6.27023 | + | 9.75667i | −0.301328 | + | 0.468875i | −0.958591 | − | 0.284786i | \(-0.908078\pi\) |
0.657263 | + | 0.753661i | \(0.271714\pi\) | |||||||
\(434\) | −0.463220 | − | 0.0397550i | −0.0222353 | − | 0.00190830i | ||||
\(435\) | 4.46560 | − | 15.2084i | 0.214109 | − | 0.729189i | ||||
\(436\) | −4.09823 | + | 12.6188i | −0.196270 | + | 0.604329i | ||||
\(437\) | 10.5514 | + | 19.9700i | 0.504740 | + | 0.955296i | ||||
\(438\) | −1.78363 | + | 1.29606i | −0.0852250 | + | 0.0619282i | ||||
\(439\) | −3.47804 | + | 11.8451i | −0.165998 | + | 0.565337i | 0.833912 | + | 0.551898i | \(0.186096\pi\) |
−0.999910 | + | 0.0134390i | \(0.995722\pi\) | |||||||
\(440\) | −0.378487 | + | 0.896104i | −0.0180436 | + | 0.0427201i | ||||
\(441\) | 4.09565 | + | 2.63212i | 0.195031 | + | 0.125339i | ||||
\(442\) | −0.490141 | − | 0.928772i | −0.0233136 | − | 0.0441772i | ||||
\(443\) | −28.9372 | + | 18.5968i | −1.37485 | + | 0.883562i | −0.999069 | − | 0.0431468i | \(-0.986262\pi\) |
−0.375780 | + | 0.926709i | \(0.622625\pi\) | |||||||
\(444\) | −13.4040 | + | 1.53977i | −0.636127 | + | 0.0730743i | ||||
\(445\) | −38.7701 | + | 33.5945i | −1.83788 | + | 1.59253i | ||||
\(446\) | 13.0652 | − | 12.6990i | 0.618655 | − | 0.601314i | ||||
\(447\) | −4.09016 | + | 8.95619i | −0.193458 | + | 0.423613i | ||||
\(448\) | 16.8211 | − | 21.8320i | 0.794723 | − | 1.03146i | ||||
\(449\) | 3.61727 | − | 1.06213i | 0.170709 | − | 0.0501248i | −0.195261 | − | 0.980751i | \(-0.562555\pi\) |
0.365970 | + | 0.930627i | \(0.380737\pi\) | |||||||
\(450\) | 1.56495 | + | 7.72072i | 0.0737726 | + | 0.363958i | ||||
\(451\) | 0.254988 | − | 0.0366617i | 0.0120069 | − | 0.00172633i | ||||
\(452\) | 11.8143 | + | 27.9456i | 0.555696 | + | 1.31445i | ||||
\(453\) | −5.97412 | + | 2.72829i | −0.280688 | + | 0.128186i | ||||
\(454\) | 37.0154 | + | 14.4086i | 1.73722 | + | 0.676229i | ||||
\(455\) | 7.43932 | + | 1.06961i | 0.348761 | + | 0.0501442i | ||||
\(456\) | −12.8836 | − | 3.38377i | −0.603331 | − | 0.158459i | ||||
\(457\) | −27.0530 | − | 23.4416i | −1.26549 | − | 1.09655i | −0.990845 | − | 0.135003i | \(-0.956896\pi\) |
−0.274641 | − | 0.961547i | \(-0.588559\pi\) | |||||||
\(458\) | −17.6775 | + | 6.30866i | −0.826017 | + | 0.294784i | ||||
\(459\) | − | 1.10665i | − | 0.0516542i | ||||||
\(460\) | −31.1712 | + | 0.912047i | −1.45337 | + | 0.0425244i | ||||
\(461\) | 1.46696i | 0.0683230i | 0.999416 | + | 0.0341615i | \(0.0108761\pi\) | ||||
−0.999416 | + | 0.0341615i | \(0.989124\pi\) | |||||||
\(462\) | 0.173225 | + | 0.485395i | 0.00805916 | + | 0.0225826i | ||||
\(463\) | 24.3753 | + | 21.1214i | 1.13282 | + | 0.981593i | 0.999954 | − | 0.00954138i | \(-0.00303716\pi\) |
0.132864 | + | 0.991134i | \(0.457583\pi\) | |||||||
\(464\) | −18.1704 | + | 7.07994i | −0.843540 | + | 0.328678i | ||||
\(465\) | −0.307093 | − | 0.0441533i | −0.0142411 | − | 0.00204756i | ||||
\(466\) | −0.580403 | + | 1.49105i | −0.0268866 | + | 0.0690714i | ||||
\(467\) | −19.6265 | + | 8.96312i | −0.908206 | + | 0.414764i | −0.814051 | − | 0.580794i | \(-0.802742\pi\) |
−0.0941553 | + | 0.995558i | \(0.530015\pi\) | |||||||
\(468\) | 0.522577 | + | 1.23611i | 0.0241561 | + | 0.0571391i | ||||
\(469\) | 41.8411 | − | 6.01585i | 1.93204 | − | 0.277786i | ||||
\(470\) | 36.9058 | − | 7.48063i | 1.70234 | − | 0.345056i | ||||
\(471\) | 4.27336 | − | 1.25477i | 0.196906 | − | 0.0578169i | ||||
\(472\) | 24.3626 | + | 35.6140i | 1.12138 | + | 1.63927i | ||||
\(473\) | −0.0950476 | + | 0.208125i | −0.00437029 | + | 0.00956961i | ||||
\(474\) | 13.0673 | + | 13.4441i | 0.600199 | + | 0.617509i | ||||
\(475\) | −19.8263 | + | 17.1796i | −0.909693 | + | 0.788253i | ||||
\(476\) | 0.870190 | + | 7.57519i | 0.0398851 | + | 0.347208i | ||||
\(477\) | −5.75601 | + | 3.69916i | −0.263549 | + | 0.169373i | ||||
\(478\) | −3.14869 | + | 1.66166i | −0.144018 | + | 0.0760026i | ||||
\(479\) | −28.0485 | − | 18.0257i | −1.28157 | − | 0.823615i | −0.290489 | − | 0.956878i | \(-0.593818\pi\) |
−0.991081 | + | 0.133263i | \(0.957454\pi\) | |||||||
\(480\) | 12.0394 | − | 13.9035i | 0.549519 | − | 0.634604i | ||||
\(481\) | −1.27533 | + | 4.34336i | −0.0581499 | + | 0.198040i | ||||
\(482\) | −6.75433 | − | 9.29524i | −0.307651 | − | 0.423387i | ||||
\(483\) | −11.8420 | + | 11.5214i | −0.538830 | + | 0.524242i | ||||
\(484\) | 6.78868 | − | 20.9029i | 0.308577 | − | 0.950130i | ||||
\(485\) | −8.29440 | + | 28.2481i | −0.376629 | + | 1.28268i | ||||
\(486\) | −0.120928 | + | 1.40903i | −0.00548540 | + | 0.0639151i | ||||
\(487\) | −9.94289 | + | 15.4714i | −0.450555 | + | 0.701078i | −0.990019 | − | 0.140931i | \(-0.954990\pi\) |
0.539464 | + | 0.842009i | \(0.318627\pi\) | |||||||
\(488\) | −13.7854 | + | 2.38849i | −0.624037 | + | 0.108122i | ||||
\(489\) | −17.8057 | + | 11.4431i | −0.805204 | + | 0.517473i | ||||
\(490\) | −19.4924 | − | 11.0061i | −0.880576 | − | 0.497207i | ||||
\(491\) | −5.53544 | − | 6.38824i | −0.249811 | − | 0.288297i | 0.616970 | − | 0.786987i | \(-0.288360\pi\) |
−0.866781 | + | 0.498690i | \(0.833815\pi\) | |||||||
\(492\) | −4.79934 | − | 0.829903i | −0.216371 | − | 0.0374149i | ||||
\(493\) | 2.24125 | − | 4.90766i | 0.100941 | − | 0.221030i | ||||
\(494\) | −2.72884 | + | 3.53931i | −0.122776 | + | 0.159241i | ||||
\(495\) | 0.0968938 | + | 0.329990i | 0.00435505 | + | 0.0148320i | ||||
\(496\) | 0.187785 | + | 0.332318i | 0.00843179 | + | 0.0149215i | ||||
\(497\) | −31.3488 | + | 4.50727i | −1.40618 | + | 0.202179i | ||||
\(498\) | −4.93963 | + | 21.2485i | −0.221350 | + | 0.952166i | ||||
\(499\) | 5.33738 | + | 11.6872i | 0.238934 | + | 0.523192i | 0.990672 | − | 0.136270i | \(-0.0435114\pi\) |
−0.751738 | + | 0.659462i | \(0.770784\pi\) | |||||||
\(500\) | −0.943360 | − | 3.58698i | −0.0421883 | − | 0.160414i | ||||
\(501\) | 8.39716 | + | 1.20733i | 0.375158 | + | 0.0539395i | ||||
\(502\) | 0.721385 | + | 12.6009i | 0.0321970 | + | 0.562406i | ||||
\(503\) | 14.7464 | − | 17.0183i | 0.657510 | − | 0.758807i | −0.324859 | − | 0.945763i | \(-0.605317\pi\) |
0.982368 | + | 0.186956i | \(0.0598622\pi\) | |||||||
\(504\) | −0.280193 | − | 9.74010i | −0.0124808 | − | 0.433859i | ||||
\(505\) | 61.8814i | 2.75369i | ||||||||
\(506\) | −0.712724 | + | 0.0822285i | −0.0316844 | + | 0.00365550i | ||||
\(507\) | −12.5497 | −0.557353 | ||||||||
\(508\) | −3.87513 | − | 2.64899i | −0.171931 | − | 0.117530i | ||||
\(509\) | −2.45914 | − | 2.13086i | −0.109000 | − | 0.0944487i | 0.598656 | − | 0.801006i | \(-0.295702\pi\) |
−0.707656 | + | 0.706558i | \(0.750247\pi\) | |||||||
\(510\) | 0.290822 | + | 5.07998i | 0.0128778 | + | 0.224945i | ||||
\(511\) | 0.764365 | − | 5.31628i | 0.0338135 | − | 0.235178i | ||||
\(512\) | −22.5913 | − | 1.27828i | −0.998403 | − | 0.0564926i | ||||
\(513\) | −4.28394 | + | 1.95641i | −0.189141 | + | 0.0863776i | ||||
\(514\) | −1.75387 | − | 0.407722i | −0.0773598 | − | 0.0179838i | ||||
\(515\) | −0.218605 | − | 1.52043i | −0.00963287 | − | 0.0669981i | ||||
\(516\) | 2.92464 | − | 3.18745i | 0.128750 | − | 0.140320i | ||||
\(517\) | 0.831251 | − | 0.244077i | 0.0365584 | − | 0.0107345i | ||||
\(518\) | 20.0687 | − | 26.0291i | 0.881767 | − | 1.14365i | ||||
\(519\) | −21.2626 | − | 9.71030i | −0.933324 | − | 0.426235i | ||||
\(520\) | −2.72367 | − | 5.53689i | −0.119441 | − | 0.242809i | ||||
\(521\) | 20.1672 | − | 17.4750i | 0.883541 | − | 0.765592i | −0.0895578 | − | 0.995982i | \(-0.528545\pi\) |
0.973099 | + | 0.230389i | \(0.0739999\pi\) | |||||||
\(522\) | −3.38993 | + | 6.00371i | −0.148373 | + | 0.262775i | ||||
\(523\) | −14.3532 | − | 22.3340i | −0.627622 | − | 0.976599i | −0.998845 | − | 0.0480550i | \(-0.984698\pi\) |
0.371223 | − | 0.928544i | \(-0.378939\pi\) | |||||||
\(524\) | −2.24358 | − | 1.10272i | −0.0980112 | − | 0.0481727i | ||||
\(525\) | −16.1440 | − | 10.3751i | −0.704582 | − | 0.452807i | ||||
\(526\) | −0.677713 | + | 7.89661i | −0.0295497 | + | 0.344309i | ||||
\(527\) | −0.101326 | − | 0.0297520i | −0.00441383 | − | 0.00129602i | ||||
\(528\) | 0.248619 | − | 0.342385i | 0.0108197 | − | 0.0149004i | ||||
\(529\) | −11.8991 | − | 19.6828i | −0.517353 | − | 0.855772i | ||||
\(530\) | 25.4502 | − | 18.4933i | 1.10549 | − | 0.803296i | ||||
\(531\) | 14.6378 | + | 4.29803i | 0.635224 | + | 0.186519i | ||||
\(532\) | 27.7857 | − | 16.7604i | 1.20466 | − | 0.726657i | ||||
\(533\) | −0.883468 | + | 1.37470i | −0.0382672 | + | 0.0595450i | ||||
\(534\) | 19.7350 | − | 10.4148i | 0.854019 | − | 0.450692i | ||||
\(535\) | −10.8064 | − | 16.8151i | −0.467201 | − | 0.726979i | ||||
\(536\) | −23.4718 | − | 25.5640i | −1.01383 | − | 1.10420i | ||||
\(537\) | −6.11323 | − | 7.05504i | −0.263805 | − | 0.304448i | ||||
\(538\) | 8.35504 | − | 8.12084i | 0.360211 | − | 0.350114i | ||||
\(539\) | −0.468463 | − | 0.213940i | −0.0201781 | − | 0.00921505i | ||||
\(540\) | 0.184821 | − | 6.49980i | 0.00795344 | − | 0.279707i | ||||
\(541\) | −10.1713 | − | 34.6402i | −0.437297 | − | 1.48930i | −0.823731 | − | 0.566980i | \(-0.808112\pi\) |
0.386434 | − | 0.922317i | \(-0.373707\pi\) | |||||||
\(542\) | −21.1283 | + | 4.28260i | −0.907536 | + | 0.183953i | ||||
\(543\) | −2.82575 | − | 19.6535i | −0.121265 | − | 0.843413i | ||||
\(544\) | 4.72977 | − | 4.10112i | 0.202787 | − | 0.175834i | ||||
\(545\) | −8.95961 | − | 19.6188i | −0.383788 | − | 0.840378i | ||||
\(546\) | −3.04656 | − | 1.18590i | −0.130381 | − | 0.0507518i | ||||
\(547\) | −4.84370 | + | 33.6887i | −0.207102 | + | 1.44043i | 0.575449 | + | 0.817838i | \(0.304827\pi\) |
−0.782550 | + | 0.622587i | \(0.786082\pi\) | |||||||
\(548\) | −15.1180 | − | 18.4835i | −0.645809 | − | 0.789578i | ||||
\(549\) | −3.23927 | + | 3.73831i | −0.138249 | + | 0.159547i | ||||
\(550\) | −0.280090 | − | 0.784844i | −0.0119431 | − | 0.0334659i | ||||
\(551\) | −22.9602 | −0.978136 | ||||||||
\(552\) | 13.2965 | + | 2.68374i | 0.565938 | + | 0.114228i | ||||
\(553\) | −45.6714 | −1.94215 | ||||||||
\(554\) | −0.575196 | − | 1.61176i | −0.0244377 | − | 0.0684772i | ||||
\(555\) | 14.3630 | − | 16.5758i | 0.609677 | − | 0.703605i | ||||
\(556\) | 27.8449 | − | 22.7748i | 1.18088 | − | 0.965866i | ||||
\(557\) | −2.01391 | + | 14.0070i | −0.0853320 | + | 0.593497i | 0.901626 | + | 0.432517i | \(0.142374\pi\) |
−0.986958 | + | 0.160980i | \(0.948535\pi\) | |||||||
\(558\) | 0.125761 | + | 0.0489536i | 0.00532389 | + | 0.00207237i | ||||
\(559\) | −0.602921 | − | 1.32021i | −0.0255008 | − | 0.0558390i | ||||
\(560\) | 3.84584 | + | 44.6373i | 0.162516 | + | 1.88627i | ||||
\(561\) | 0.0166600 | + | 0.115873i | 0.000703387 | + | 0.00489216i | ||||
\(562\) | −14.1405 | + | 2.86622i | −0.596483 | + | 0.120904i | ||||
\(563\) | 2.69371 | + | 9.17395i | 0.113527 | + | 0.386636i | 0.996580 | − | 0.0826371i | \(-0.0263342\pi\) |
−0.883053 | + | 0.469273i | \(0.844516\pi\) | |||||||
\(564\) | −16.3731 | − | 0.465568i | −0.689433 | − | 0.0196039i | ||||
\(565\) | −44.8643 | − | 20.4888i | −1.88745 | − | 0.861972i | ||||
\(566\) | −2.46146 | + | 2.39246i | −0.103463 | + | 0.100563i | ||||
\(567\) | −2.25604 | − | 2.60361i | −0.0947448 | − | 0.109341i | ||||
\(568\) | 17.5859 | + | 19.1534i | 0.737886 | + | 0.803659i | ||||
\(569\) | −3.64544 | − | 5.67242i | −0.152825 | − | 0.237800i | 0.756396 | − | 0.654114i | \(-0.226958\pi\) |
−0.909221 | + | 0.416314i | \(0.863322\pi\) | |||||||
\(570\) | 19.1508 | − | 10.1065i | 0.802141 | − | 0.423314i | ||||
\(571\) | 1.48323 | − | 2.30795i | 0.0620712 | − | 0.0965846i | −0.808831 | − | 0.588042i | \(-0.799899\pi\) |
0.870902 | + | 0.491457i | \(0.163535\pi\) | |||||||
\(572\) | −0.0733256 | − | 0.121560i | −0.00306590 | − | 0.00508270i | ||||
\(573\) | 17.7908 | + | 5.22384i | 0.743220 | + | 0.218229i | ||||
\(574\) | 9.59841 | − | 6.97463i | 0.400630 | − | 0.291115i | ||||
\(575\) | 19.1475 | − | 18.6292i | 0.798508 | − | 0.776889i | ||||
\(576\) | −6.47026 | + | 4.70486i | −0.269594 | + | 0.196036i | ||||
\(577\) | −7.91014 | − | 2.32263i | −0.329303 | − | 0.0966922i | 0.112902 | − | 0.993606i | \(-0.463985\pi\) |
−0.442205 | + | 0.896914i | \(0.645804\pi\) | |||||||
\(578\) | 1.90768 | − | 22.2280i | 0.0793488 | − | 0.924561i | ||||
\(579\) | 11.1711 | + | 7.17923i | 0.464255 | + | 0.298359i | ||||
\(580\) | 13.9834 | − | 28.4503i | 0.580628 | − | 1.18133i | ||||
\(581\) | −28.7308 | − | 44.7061i | −1.19196 | − | 1.85472i | ||||
\(582\) | 6.29645 | − | 11.1513i | 0.260996 | − | 0.462236i | ||||
\(583\) | 0.546998 | − | 0.473977i | 0.0226543 | − | 0.0196301i | ||||
\(584\) | −3.95677 | + | 1.94639i | −0.163732 | + | 0.0805421i | ||||
\(585\) | −1.98447 | − | 0.906276i | −0.0820476 | − | 0.0374699i | ||||
\(586\) | −0.534024 | + | 0.692630i | −0.0220603 | + | 0.0286123i | ||||
\(587\) | −3.88206 | + | 1.13988i | −0.160230 | + | 0.0470477i | −0.360864 | − | 0.932619i | \(-0.617518\pi\) |
0.200634 | + | 0.979666i | \(0.435700\pi\) | |||||||
\(588\) | 7.17454 | + | 6.58298i | 0.295873 | + | 0.271478i | ||||
\(589\) | 0.0639581 | + | 0.444838i | 0.00263535 | + | 0.0183292i | ||||
\(590\) | −68.3226 | − | 15.8830i | −2.81280 | − | 0.653891i | ||||
\(591\) | −15.4327 | + | 7.04789i | −0.634818 | + | 0.289912i | ||||
\(592\) | −26.9407 | − | 1.53335i | −1.10726 | − | 0.0630205i | ||||
\(593\) | 2.47242 | − | 17.1961i | 0.101530 | − | 0.706157i | −0.873941 | − | 0.486031i | \(-0.838444\pi\) |
0.975471 | − | 0.220126i | \(-0.0706468\pi\) | |||||||
\(594\) | −0.00855034 | − | 0.149354i | −0.000350825 | − | 0.00612808i | ||||
\(595\) | −9.36771 | − | 8.11717i | −0.384039 | − | 0.332771i | ||||
\(596\) | −11.1128 | + | 16.2566i | −0.455198 | + | 0.665896i | ||||
\(597\) | 7.16611 | 0.293289 | ||||||||
\(598\) | 2.56646 | − | 3.75837i | 0.104950 | − | 0.153691i | ||||
\(599\) | − | 12.2519i | − | 0.500598i | −0.968169 | − | 0.250299i | \(-0.919471\pi\) | ||
0.968169 | − | 0.250299i | \(-0.0805290\pi\) | |||||||
\(600\) | 0.453049 | + | 15.7489i | 0.0184956 | + | 0.642948i | ||||
\(601\) | −30.9481 | + | 35.7160i | −1.26240 | + | 1.45689i | −0.429884 | + | 0.902884i | \(0.641446\pi\) |
−0.832515 | + | 0.554003i | \(0.813100\pi\) | |||||||
\(602\) | 0.602301 | + | 10.5208i | 0.0245479 | + | 0.428795i | ||||
\(603\) | −12.1452 | − | 1.74622i | −0.494591 | − | 0.0711115i | ||||
\(604\) | −12.7033 | + | 3.34090i | −0.516888 | + | 0.135939i | ||||
\(605\) | 14.8415 | + | 32.4984i | 0.603394 | + | 1.32125i | ||||
\(606\) | 6.09492 | − | 26.2181i | 0.247589 | − | 1.06504i | ||||
\(607\) | 39.9660 | − | 5.74624i | 1.62217 | − | 0.233233i | 0.729512 | − | 0.683968i | \(-0.239747\pi\) |
0.892658 | + | 0.450736i | \(0.148838\pi\) | |||||||
\(608\) | −24.2373 | − | 11.0591i | −0.982952 | − | 0.448505i | ||||
\(609\) | −4.73187 | − | 16.1153i | −0.191745 | − | 0.653023i | ||||
\(610\) | 13.8871 | − | 18.0116i | 0.562273 | − | 0.729268i | ||||
\(611\) | −2.28293 | + | 4.99891i | −0.0923573 | + | 0.202234i | ||||
\(612\) | 0.377129 | − | 2.18094i | 0.0152445 | − | 0.0881593i | ||||
\(613\) | 0.430587 | + | 0.496924i | 0.0173912 | + | 0.0200706i | 0.764379 | − | 0.644768i | \(-0.223046\pi\) |
−0.746987 | + | 0.664838i | \(0.768500\pi\) | |||||||
\(614\) | 17.5094 | + | 9.88651i | 0.706624 | + | 0.398987i | ||||
\(615\) | 6.66073 | − | 4.28059i | 0.268587 | − | 0.172610i | ||||
\(616\) | 0.175969 | + | 1.01563i | 0.00709000 | + | 0.0409207i | ||||
\(617\) | 1.64652 | − | 2.56204i | 0.0662865 | − | 0.103144i | −0.806528 | − | 0.591196i | \(-0.798656\pi\) |
0.872815 | + | 0.488052i | \(0.162292\pi\) | |||||||
\(618\) | −0.0571333 | + | 0.665710i | −0.00229824 | + | 0.0267788i | ||||
\(619\) | 7.21768 | − | 24.5812i | 0.290103 | − | 0.988000i | −0.677500 | − | 0.735523i | \(-0.736937\pi\) |
0.967603 | − | 0.252477i | \(-0.0812453\pi\) | |||||||
\(620\) | −0.590158 | − | 0.191667i | −0.0237013 | − | 0.00769754i | ||||
\(621\) | 4.24034 | − | 2.24043i | 0.170159 | − | 0.0899052i | ||||
\(622\) | 11.1572 | + | 15.3545i | 0.447364 | + | 0.615658i | ||||
\(623\) | −15.3147 | + | 52.1571i | −0.613571 | + | 2.08963i | ||||
\(624\) | 0.608625 | + | 2.61415i | 0.0243645 | + | 0.104650i | ||||
\(625\) | −18.3584 | − | 11.7982i | −0.734336 | − | 0.471929i | ||||
\(626\) | −6.10491 | + | 3.22175i | −0.244001 | + | 0.128767i | ||||
\(627\) | 0.419100 | − | 0.269339i | 0.0167373 | − | 0.0107564i | ||||
\(628\) | 8.84935 | − | 1.01656i | 0.353127 | − | 0.0405651i | ||||
\(629\) | 5.64211 | − | 4.88892i | 0.224966 | − | 0.194934i | ||||
\(630\) | 11.0403 | + | 11.3587i | 0.439858 | + | 0.452543i | ||||
\(631\) | −17.0712 | + | 37.3807i | −0.679594 | + | 1.48810i | 0.183480 | + | 0.983023i | \(0.441264\pi\) |
−0.863073 | + | 0.505079i | \(0.831463\pi\) | |||||||
\(632\) | 21.1708 | + | 30.9481i | 0.842130 | + | 1.23105i | ||||
\(633\) | −0.117148 | + | 0.0343976i | −0.00465620 | + | 0.00136718i | ||||
\(634\) | −11.4594 | + | 2.32277i | −0.455112 | + | 0.0922492i | ||||
\(635\) | 7.55296 | − | 1.08595i | 0.299730 | − | 0.0430947i | ||||
\(636\) | −12.6043 | + | 5.32858i | −0.499792 | + | 0.211292i | ||||
\(637\) | 2.97163 | − | 1.35710i | 0.117740 | − | 0.0537702i | ||||
\(638\) | 0.264562 | − | 0.679657i | 0.0104741 | − | 0.0269079i | ||||
\(639\) | 9.09960 | + | 1.30832i | 0.359974 | + | 0.0517565i | ||||
\(640\) | 28.4647 | − | 23.2975i | 1.12516 | − | 0.920915i | ||||
\(641\) | −31.4539 | − | 27.2550i | −1.24236 | − | 1.07651i | −0.994173 | − | 0.107795i | \(-0.965621\pi\) |
−0.248183 | − | 0.968713i | \(-0.579833\pi\) | |||||||
\(642\) | 2.92230 | + | 8.18861i | 0.115334 | + | 0.323179i | ||||
\(643\) | 22.5959i | 0.891095i | 0.895258 | + | 0.445547i | \(0.146991\pi\) | ||||
−0.895258 | + | 0.445547i | \(0.853009\pi\) | |||||||
\(644\) | −27.2640 | + | 18.6703i | −1.07435 | + | 0.735712i | ||||
\(645\) | 7.03220i | 0.276893i | ||||||||
\(646\) | 6.94182 | − | 2.47736i | 0.273122 | − | 0.0974703i | ||||
\(647\) | −3.17903 | − | 2.75465i | −0.124981 | − | 0.108296i | 0.590128 | − | 0.807310i | \(-0.299077\pi\) |
−0.715109 | + | 0.699013i | \(0.753623\pi\) | |||||||
\(648\) | −0.718493 | + | 2.73565i | −0.0282251 | + | 0.107466i | ||||
\(649\) | −1.59736 | − | 0.229666i | −0.0627019 | − | 0.00901517i | ||||
\(650\) | 4.92603 | + | 1.91750i | 0.193215 | + | 0.0752106i | ||||
\(651\) | −0.299041 | + | 0.136568i | −0.0117204 | + | 0.00535251i | ||||
\(652\) | −38.9903 | + | 16.4835i | −1.52698 | + | 0.645545i | ||||
\(653\) | 41.1078 | − | 5.91041i | 1.60867 | − | 0.231292i | 0.721394 | − | 0.692525i | \(-0.243502\pi\) |
0.887279 | + | 0.461233i | \(0.152593\pi\) | |||||||
\(654\) | 1.86370 | + | 9.19461i | 0.0728766 | + | 0.359538i | ||||
\(655\) | 3.89928 | − | 1.14493i | 0.152358 | − | 0.0447362i | ||||
\(656\) | −9.17550 | − | 3.27107i | −0.358243 | − | 0.127714i | ||||
\(657\) | −0.647642 | + | 1.41814i | −0.0252669 | + | 0.0553268i | ||||
\(658\) | 28.6128 | − | 27.8108i | 1.11544 | − | 1.08418i | ||||
\(659\) | 5.36910 | − | 4.65235i | 0.209150 | − | 0.181230i | −0.543986 | − | 0.839094i | \(-0.683086\pi\) |
0.753136 | + | 0.657865i | \(0.228540\pi\) | |||||||
\(660\) | 0.0784988 | + | 0.683349i | 0.00305556 | + | 0.0265993i | ||||
\(661\) | 3.97247 | − | 2.55295i | 0.154511 | − | 0.0992983i | −0.461101 | − | 0.887348i | \(-0.652545\pi\) |
0.615612 | + | 0.788050i | \(0.288909\pi\) | |||||||
\(662\) | 18.0311 | + | 34.1672i | 0.700798 | + | 1.32795i | ||||
\(663\) | −0.624700 | − | 0.401470i | −0.0242613 | − | 0.0155918i | ||||
\(664\) | −16.9759 | + | 40.1921i | −0.658793 | + | 1.55976i | ||||
\(665\) | −14.8614 | + | 50.6131i | −0.576299 | + | 1.96269i | ||||
\(666\) | −7.71798 | + | 5.60822i | −0.299066 | + | 0.217314i | ||||
\(667\) | 23.3420 | − | 1.34782i | 0.903806 | − | 0.0521878i | ||||
\(668\) | 16.1373 | + | 5.24096i | 0.624371 | + | 0.202779i | ||||
\(669\) | 3.62967 | − | 12.3615i | 0.140331 | − | 0.477924i | ||||
\(670\) | 56.2102 | + | 4.82414i | 2.17159 | + | 0.186373i | ||||
\(671\) | 0.282892 | − | 0.440188i | 0.0109209 | − | 0.0169933i | ||||
\(672\) | 2.76707 | − | 19.2908i | 0.106742 | − | 0.744160i | ||||
\(673\) | −41.1422 | + | 26.4405i | −1.58592 | + | 1.01921i | −0.612411 | + | 0.790539i | \(0.709800\pi\) |
−0.973505 | + | 0.228667i | \(0.926563\pi\) | |||||||
\(674\) | −4.20748 | + | 7.45163i | −0.162066 | + | 0.287026i | ||||
\(675\) | 3.64783 | + | 4.20982i | 0.140405 | + | 0.162036i | ||||
\(676\) | −24.7324 | − | 4.27674i | −0.951247 | − | 0.164490i | ||||
\(677\) | −7.28503 | + | 15.9520i | −0.279986 | + | 0.613085i | −0.996417 | − | 0.0845734i | \(-0.973047\pi\) |
0.716431 | + | 0.697658i | \(0.245775\pi\) | |||||||
\(678\) | 16.9902 | + | 13.0996i | 0.652504 | + | 0.503087i | ||||
\(679\) | 8.78896 | + | 29.9325i | 0.337289 | + | 1.14870i | ||||
\(680\) | −1.15803 | + | 10.1105i | −0.0444085 | + | 0.387720i | ||||
\(681\) | 27.8010 | − | 3.99718i | 1.06534 | − | 0.153172i | ||||
\(682\) | −0.0139049 | − | 0.00323247i | −0.000532445 | − | 0.000123778i | ||||
\(683\) | −11.6393 | − | 25.4866i | −0.445367 | − | 0.975217i | −0.990582 | − | 0.136921i | \(-0.956279\pi\) |
0.545215 | − | 0.838296i | \(-0.316448\pi\) | |||||||
\(684\) | −9.10930 | + | 2.39571i | −0.348303 | + | 0.0916022i | ||||
\(685\) | 38.4224 | + | 5.52431i | 1.46804 | + | 0.211073i | ||||
\(686\) | 10.3678 | − | 0.593540i | 0.395843 | − | 0.0226615i | ||||
\(687\) | −8.69134 | + | 10.0303i | −0.331595 | + | 0.382682i | ||||
\(688\) | 6.84996 | − | 5.28501i | 0.261152 | − | 0.201489i | ||||
\(689\) | 4.59121i | 0.174911i | ||||||||
\(690\) | −18.8761 | + | 11.3988i | −0.718600 | + | 0.433944i | ||||
\(691\) | −12.8621 | −0.489298 | −0.244649 | − | 0.969612i | \(-0.578673\pi\) | ||||
−0.244649 | + | 0.969612i | \(0.578673\pi\) | |||||||
\(692\) | −38.5942 | − | 26.3825i | −1.46713 | − | 1.00291i | ||||
\(693\) | 0.275416 | + | 0.238650i | 0.0104622 | + | 0.00906555i | ||||
\(694\) | 41.6684 | − | 2.38546i | 1.58171 | − | 0.0905507i | ||||
\(695\) | −8.32219 | + | 57.8821i | −0.315679 | + | 2.19559i | ||||
\(696\) | −8.72667 | + | 10.6766i | −0.330784 | + | 0.404696i | ||||
\(697\) | 2.45147 | − | 1.11955i | 0.0928561 | − | 0.0424060i | ||||
\(698\) | −2.38533 | + | 10.2608i | −0.0902860 | + | 0.388377i | ||||
\(699\) | 0.161014 | + | 1.11987i | 0.00609009 | + | 0.0423575i | ||||
\(700\) | −28.2802 | − | 25.9484i | −1.06889 | − | 0.980757i | ||||
\(701\) | 37.6862 | − | 11.0657i | 1.42339 | − | 0.417944i | 0.522738 | − | 0.852493i | \(-0.324910\pi\) |
0.900648 | + | 0.434549i | \(0.143092\pi\) | |||||||
\(702\) | 0.751521 | + | 0.579430i | 0.0283643 | + | 0.0218692i | ||||
\(703\) | −28.8998 | − | 13.1981i | −1.08998 | − | 0.497776i | ||||
\(704\) | 0.606645 | − | 0.590032i | 0.0228638 | − | 0.0222376i | ||||
\(705\) | 20.1234 | − | 17.4370i | 0.757890 | − | 0.656715i | ||||
\(706\) | −36.0464 | − | 20.3532i | −1.35662 | − | 0.766002i | ||||
\(707\) | 35.4504 | + | 55.1620i | 1.33325 | + | 2.07458i | ||||
\(708\) | 27.3827 | + | 13.4587i | 1.02910 | + | 0.505807i | ||||
\(709\) | 26.9105 | + | 17.2943i | 1.01064 | + | 0.649502i | 0.937560 | − | 0.347824i | \(-0.113079\pi\) |
0.0730846 | + | 0.997326i | \(0.476716\pi\) | |||||||
\(710\) | −42.1146 | − | 3.61441i | −1.58053 | − | 0.135646i | ||||
\(711\) | 12.7200 | + | 3.73494i | 0.477038 | + | 0.140071i | ||||
\(712\) | 42.4421 | − | 13.7996i | 1.59058 | − | 0.517162i | ||||
\(713\) | −0.0911349 | − | 0.448482i | −0.00341303 | − | 0.0167958i | ||||
\(714\) | 3.16945 | + | 4.36176i | 0.118614 | + | 0.163235i | ||||
\(715\) | 0.221428 | + | 0.0650173i | 0.00828096 | + | 0.00243151i | ||||
\(716\) | −9.64342 | − | 15.9870i | −0.360392 | − | 0.597463i | ||||
\(717\) | −1.36105 | + | 2.11783i | −0.0508293 | + | 0.0790920i | ||||
\(718\) | −12.9256 | − | 24.4928i | −0.482379 | − | 0.914063i | ||||
\(719\) | 11.4694 | + | 17.8467i | 0.427736 | + | 0.665571i | 0.986501 | − | 0.163755i | \(-0.0523608\pi\) |
−0.558765 | + | 0.829326i | \(0.688724\pi\) | |||||||
\(720\) | 2.57926 | − | 12.7465i | 0.0961233 | − | 0.475035i | ||||
\(721\) | −1.06589 | − | 1.23010i | −0.0396956 | − | 0.0458112i | ||||
\(722\) | −3.13417 | − | 3.22456i | −0.116642 | − | 0.120006i | ||||
\(723\) | −7.39052 | − | 3.37514i | −0.274856 | − | 0.125523i | ||||
\(724\) | 1.12873 | − | 39.6952i | 0.0419489 | − | 1.47526i | ||||
\(725\) | 7.65104 | + | 26.0570i | 0.284152 | + | 0.967734i | ||||
\(726\) | −3.08721 | − | 15.2308i | −0.114577 | − | 0.565268i | ||||
\(727\) | −4.20808 | − | 29.2679i | −0.156069 | − | 1.08549i | −0.905789 | − | 0.423729i | \(-0.860721\pi\) |
0.749720 | − | 0.661756i | \(-0.230188\pi\) | |||||||
\(728\) | −5.59988 | − | 3.37533i | −0.207545 | − | 0.125098i | ||||
\(729\) | 0.415415 | + | 0.909632i | 0.0153857 | + | 0.0336901i | ||||
\(730\) | 2.60025 | − | 6.68001i | 0.0962397 | − | 0.247238i | ||||
\(731\) | −0.340649 | + | 2.36927i | −0.0125994 | + | 0.0876305i | ||||
\(732\) | −7.65775 | + | 6.26341i | −0.283039 | + | 0.231502i | ||||
\(733\) | −17.2557 | + | 19.9142i | −0.637354 | + | 0.735546i | −0.978905 | − | 0.204317i | \(-0.934503\pi\) |
0.341550 | + | 0.939864i | \(0.389048\pi\) | |||||||
\(734\) | 37.4638 | − | 13.3699i | 1.38281 | − | 0.493491i | ||||
\(735\) | −15.8286 | −0.583846 | ||||||||
\(736\) | 25.2896 | + | 9.82022i | 0.932187 | + | 0.361978i | ||||
\(737\) | 1.29796 | 0.0478110 | ||||||||
\(738\) | −3.24364 | + | 1.15757i | −0.119400 | + | 0.0426108i | ||||
\(739\) | 25.7540 | − | 29.7217i | 0.947377 | − | 1.09333i | −0.0481492 | − | 0.998840i | \(-0.515332\pi\) |
0.995526 | − | 0.0944907i | \(-0.0301223\pi\) | |||||||
\(740\) | 33.9548 | − | 27.7722i | 1.24820 | − | 1.02093i | ||||
\(741\) | −0.449739 | + | 3.12800i | −0.0165216 | + | 0.114910i | ||||
\(742\) | 12.0923 | − | 31.0650i | 0.443923 | − | 1.14043i | ||||
\(743\) | 3.79546 | + | 8.31089i | 0.139242 | + | 0.304897i | 0.966387 | − | 0.257091i | \(-0.0827640\pi\) |
−0.827145 | + | 0.561988i | \(0.810037\pi\) | |||||||
\(744\) | 0.231161 | + | 0.139333i | 0.00847479 | + | 0.00510819i | ||||
\(745\) | −4.55568 | − | 31.6855i | −0.166907 | − | 1.16087i | ||||
\(746\) | 8.33412 | + | 41.1165i | 0.305134 | + | 1.50538i | ||||
\(747\) | 4.34589 | + | 14.8007i | 0.159008 | + | 0.541530i | ||||
\(748\) | −0.00665474 | + | 0.234034i | −0.000243322 | + | 0.00855715i | ||||
\(749\) | −19.2659 | − | 8.79846i | −0.703962 | − | 0.321489i | ||||
\(750\) | −1.82793 | − | 1.88065i | −0.0667466 | − | 0.0686715i | ||||
\(751\) | 13.3625 | + | 15.4211i | 0.487603 | + | 0.562724i | 0.945223 | − | 0.326424i | \(-0.105844\pi\) |
−0.457621 | + | 0.889148i | \(0.651298\pi\) | |||||||
\(752\) | −32.1087 | − | 6.49720i | −1.17088 | − | 0.236928i | ||||
\(753\) | 4.82510 | + | 7.50800i | 0.175836 | + | 0.273607i | ||||
\(754\) | 2.15927 | + | 4.09161i | 0.0786359 | + | 0.149008i | ||||
\(755\) | 11.5442 | − | 17.9631i | 0.420135 | − | 0.653743i | ||||
\(756\) | −3.55883 | − | 5.89989i | −0.129434 | − | 0.214577i | ||||
\(757\) | −46.5747 | − | 13.6756i | −1.69279 | − | 0.497047i | −0.713693 | − | 0.700458i | \(-0.752979\pi\) |
−0.979093 | + | 0.203411i | \(0.934797\pi\) | |||||||
\(758\) | 19.4462 | + | 26.7617i | 0.706318 | + | 0.972028i | ||||
\(759\) | −0.410260 | + | 0.298421i | −0.0148915 | + | 0.0108320i | ||||
\(760\) | 41.1857 | − | 13.3911i | 1.49396 | − | 0.485747i | ||||
\(761\) | 29.5113 | + | 8.66531i | 1.06978 | + | 0.314117i | 0.768785 | − | 0.639507i | \(-0.220862\pi\) |
0.301000 | + | 0.953624i | \(0.402680\pi\) | |||||||
\(762\) | −3.30702 | − | 0.283819i | −0.119801 | − | 0.0102817i | ||||
\(763\) | −19.2259 | − | 12.3557i | −0.696024 | − | 0.447307i | ||||
\(764\) | 33.2810 | + | 16.3577i | 1.20407 | + | 0.591801i | ||||
\(765\) | 1.94521 | + | 3.02680i | 0.0703292 | + | 0.109434i | ||||
\(766\) | −27.6177 | − | 15.5940i | −0.997869 | − | 0.563435i | ||||
\(767\) | 7.73647 | − | 6.70369i | 0.279348 | − | 0.242056i | ||||
\(768\) | −14.3546 | + | 7.06716i | −0.517978 | + | 0.255014i | ||||
\(769\) | 39.9697 | + | 18.2535i | 1.44134 | + | 0.658239i | 0.974147 | − | 0.225915i | \(-0.0725371\pi\) |
0.467196 | + | 0.884154i | \(0.345264\pi\) | |||||||
\(770\) | −1.32699 | − | 1.02312i | −0.0478212 | − | 0.0368706i | ||||
\(771\) | −1.22167 | + | 0.358714i | −0.0439973 | + | 0.0129188i | ||||
\(772\) | 19.5689 | + | 17.9554i | 0.704301 | + | 0.646229i | ||||
\(773\) | 2.36541 | + | 16.4518i | 0.0850777 | + | 0.591729i | 0.987108 | + | 0.160056i | \(0.0511674\pi\) |
−0.902030 | + | 0.431673i | \(0.857924\pi\) | |||||||
\(774\) | 0.692626 | − | 2.97942i | 0.0248959 | − | 0.107093i | ||||
\(775\) | 0.483525 | − | 0.220819i | 0.0173687 | − | 0.00793204i | ||||
\(776\) | 16.2089 | − | 19.8307i | 0.581866 | − | 0.711881i | ||||
\(777\) | 3.30750 | − | 23.0042i | 0.118656 | − | 0.825271i | ||||
\(778\) | 44.3569 | − | 2.53937i | 1.59027 | − | 0.0910409i | ||||
\(779\) | −8.66772 | − | 7.51062i | −0.310553 | − | 0.269096i | ||||
\(780\) | −3.60205 | − | 2.46232i | −0.128974 | − | 0.0881651i | ||||
\(781\) | −0.972476 | −0.0347979 | ||||||||
\(782\) | −6.91184 | + | 2.92606i | −0.247167 | + | 0.104636i | ||||
\(783\) | 4.87525i | 0.174227i | ||||||||
\(784\) | 11.8959 | + | 15.4184i | 0.424853 | + | 0.550657i | ||||
\(785\) | −9.48249 | + | 10.9434i | −0.338445 | + | 0.390586i | ||||
\(786\) | −1.76483 | + | 0.101034i | −0.0629493 | + | 0.00360376i | ||||
\(787\) | 34.0937 | + | 4.90193i | 1.21531 | + | 0.174735i | 0.719995 | − | 0.693979i | \(-0.244144\pi\) |
0.495313 | + | 0.868714i | \(0.335053\pi\) | |||||||
\(788\) | −32.8159 | + | 8.63045i | −1.16902 | + | 0.307447i | ||||
\(789\) | 2.32810 | + | 5.09783i | 0.0828826 | + | 0.181488i | ||||
\(790\) | −59.3715 | − | 13.8021i | −2.11234 | − | 0.491056i | ||||
\(791\) | −51.7302 | + | 7.43768i | −1.83932 | + | 0.264454i | ||||
\(792\) | 0.0340468 | − | 0.297254i | 0.00120980 | − | 0.0105625i | ||||
\(793\) | 0.935120 | + | 3.18473i | 0.0332071 | + | 0.113093i | ||||
\(794\) | 23.4149 | + | 18.0531i | 0.830965 | + | 0.640682i | ||||
\(795\) | 9.24107 | − | 20.2351i | 0.327747 | − | 0.717666i | ||||
\(796\) | 14.1226 | + | 2.44209i | 0.500564 | + | 0.0865575i | ||||
\(797\) | −22.6795 | − | 26.1736i | −0.803350 | − | 0.927115i | 0.195210 | − | 0.980761i | \(-0.437461\pi\) |
−0.998560 | + | 0.0536466i | \(0.982916\pi\) | |||||||
\(798\) | 11.2816 | − | 19.9801i | 0.399363 | − | 0.707290i | ||||
\(799\) | 7.62458 | − | 4.90002i | 0.269738 | − | 0.173350i | ||||
\(800\) | −4.47412 | + | 31.1917i | −0.158184 | + | 1.10279i | ||||
\(801\) | 8.53065 | − | 13.2740i | 0.301416 | − | 0.469012i | ||||
\(802\) | 32.1786 | + | 2.76167i | 1.13626 | + | 0.0975179i | ||||
\(803\) | 0.0464626 | − | 0.158237i | 0.00163963 | − | 0.00558406i | ||||
\(804\) | −23.3401 | − | 7.58025i | −0.823143 | − | 0.267335i | ||||
\(805\) | 12.1374 | − | 52.3273i | 0.427787 | − | 1.84429i | ||||
\(806\) | 0.0732574 | − | 0.0532321i | 0.00258038 | − | 0.00187502i | ||||
\(807\) | 2.32113 | − | 7.90504i | 0.0817076 | − | 0.278271i | ||||
\(808\) | 20.9462 | − | 49.5923i | 0.736886 | − | 1.74465i | ||||
\(809\) | 33.1023 | + | 21.2735i | 1.16381 | + | 0.747938i | 0.972342 | − | 0.233561i | \(-0.0750377\pi\) |
0.191471 | + | 0.981498i | \(0.438674\pi\) | |||||||
\(810\) | −2.14596 | − | 4.06640i | −0.0754015 | − | 0.142879i | ||||
\(811\) | 7.39709 | − | 4.75382i | 0.259747 | − | 0.166929i | −0.404286 | − | 0.914633i | \(-0.632480\pi\) |
0.664033 | + | 0.747703i | \(0.268844\pi\) | |||||||
\(812\) | −3.83354 | − | 33.3717i | −0.134531 | − | 1.17112i | ||||
\(813\) | −11.5205 | + | 9.98253i | −0.404040 | + | 0.350103i | ||||
\(814\) | 0.723688 | − | 0.703403i | 0.0253653 | − | 0.0246542i | ||||
\(815\) | 28.5865 | − | 62.5957i | 1.00134 | − | 2.19263i | ||||
\(816\) | 1.48645 | − | 4.16958i | 0.0520363 | − | 0.145964i | ||||
\(817\) | 9.77383 | − | 2.86986i | 0.341943 | − | 0.100404i | ||||
\(818\) | 8.32391 | + | 41.0661i | 0.291039 | + | 1.43584i | ||||
\(819\) | −2.28817 | + | 0.328989i | −0.0799550 | + | 0.0114958i | ||||
\(820\) | 14.5854 | − | 6.16613i | 0.509345 | − | 0.215330i | ||||
\(821\) | 0.283354 | − | 0.129403i | 0.00988912 | − | 0.00451621i | −0.410464 | − | 0.911877i | \(-0.634633\pi\) |
0.420353 | + | 0.907360i | \(0.361906\pi\) | |||||||
\(822\) | −15.7348 | − | 6.12491i | −0.548813 | − | 0.213631i | ||||
\(823\) | −18.2817 | − | 2.62852i | −0.637262 | − | 0.0916244i | −0.183891 | − | 0.982947i | \(-0.558869\pi\) |
−0.453370 | + | 0.891322i | \(0.649779\pi\) | |||||||
\(824\) | −0.339458 | + | 1.29248i | −0.0118256 | + | 0.0450256i | ||||
\(825\) | −0.445325 | − | 0.385877i | −0.0155042 | − | 0.0134345i | ||||
\(826\) | −70.0027 | + | 24.9821i | −2.43570 | + | 0.869240i | ||||
\(827\) | − | 10.5440i | − | 0.366652i | −0.983052 | − | 0.183326i | \(-0.941314\pi\) | ||
0.983052 | − | 0.183326i | \(-0.0586864\pi\) | |||||||
\(828\) | 9.12016 | − | 2.97029i | 0.316948 | − | 0.103225i | ||||
\(829\) | − | 5.62524i | − | 0.195373i | −0.995217 | − | 0.0976863i | \(-0.968856\pi\) | ||
0.995217 | − | 0.0976863i | \(-0.0311442\pi\) | |||||||
\(830\) | −23.8389 | − | 66.7991i | −0.827459 | − | 2.31863i | ||||
\(831\) | −0.914523 | − | 0.792439i | −0.0317245 | − | 0.0274894i | ||||
\(832\) | 0.308593 | + | 5.35925i | 0.0106986 | + | 0.185798i | ||||
\(833\) | −5.33292 | − | 0.766758i | −0.184775 | − | 0.0265666i | ||||
\(834\) | 9.22697 | − | 23.7039i | 0.319504 | − | 0.820800i | ||||
\(835\) | −25.0892 | + | 11.4579i | −0.868248 | + | 0.396516i | ||||
\(836\) | 0.917730 | − | 0.387979i | 0.0317403 | − | 0.0134185i | ||||
\(837\) | 0.0944549 | − | 0.0135806i | 0.00326484 | − | 0.000469413i | ||||
\(838\) | −10.0506 | + | 2.03720i | −0.347191 | + | 0.0703741i | ||||
\(839\) | −29.6480 | + | 8.70544i | −1.02356 | + | 0.300545i | −0.750091 | − | 0.661335i | \(-0.769990\pi\) |
−0.273472 | + | 0.961880i | \(0.588172\pi\) | |||||||
\(840\) | 17.8869 | + | 26.1476i | 0.617157 | + | 0.902178i | ||||
\(841\) | 2.17341 | − | 4.75911i | 0.0749452 | − | 0.164107i | ||||
\(842\) | 17.7473 | + | 18.2592i | 0.611614 | + | 0.629252i | ||||
\(843\) | −7.71032 | + | 6.68103i | −0.265557 | + | 0.230107i | ||||
\(844\) | −0.242591 | + | 0.0278674i | −0.00835033 | + | 0.000959234i | ||||
\(845\) | 34.3247 | − | 22.0592i | 1.18081 | − | 0.758858i | ||||
\(846\) | −10.2433 | + | 5.40572i | −0.352173 | + | 0.185853i | ||||
\(847\) | 31.8475 | + | 20.4672i | 1.09429 | + | 0.703260i | ||||
\(848\) | −26.6558 | + | 6.20600i | −0.915364 | + | 0.213115i | ||||
\(849\) | −0.683822 | + | 2.32889i | −0.0234687 | + | 0.0799271i | ||||
\(850\) | −5.12473 | − | 7.05260i | −0.175777 | − | 0.241902i | ||||
\(851\) | 30.1552 | + | 11.7211i | 1.03371 | + | 0.401795i | ||||
\(852\) | 17.4872 | + | 5.67937i | 0.599102 | + | 0.194572i | ||||
\(853\) | 9.69898 | − | 33.0317i | 0.332087 | − | 1.13098i | −0.609099 | − | 0.793094i | \(-0.708469\pi\) |
0.941186 | − | 0.337890i | \(-0.109713\pi\) | |||||||
\(854\) | 2.06074 | − | 24.0114i | 0.0705169 | − | 0.821653i | ||||
\(855\) | 8.27813 | − | 12.8810i | 0.283106 | − | 0.440522i | ||||
\(856\) | 2.96860 | + | 17.1336i | 0.101465 | + | 0.585614i | ||||
\(857\) | 4.60502 | − | 2.95947i | 0.157305 | − | 0.101094i | −0.459620 | − | 0.888115i | \(-0.652015\pi\) |
0.616925 | + | 0.787022i | \(0.288378\pi\) | |||||||
\(858\) | −0.0874116 | − | 0.0493559i | −0.00298418 | − | 0.00168498i | ||||
\(859\) | 7.95606 | + | 9.18179i | 0.271457 | + | 0.313278i | 0.875067 | − | 0.484001i | \(-0.160817\pi\) |
−0.603610 | + | 0.797280i | \(0.706272\pi\) | |||||||
\(860\) | −2.39645 | + | 13.8587i | −0.0817183 | + | 0.472579i | ||||
\(861\) | 3.48522 | − | 7.63156i | 0.118776 | − | 0.260083i | ||||
\(862\) | 30.6801 | − | 39.7921i | 1.04497 | − | 1.35532i | ||||
\(863\) | −1.87657 | − | 6.39100i | −0.0638791 | − | 0.217552i | 0.921368 | − | 0.388692i | \(-0.127073\pi\) |
−0.985247 | + | 0.171140i | \(0.945255\pi\) | |||||||
\(864\) | −2.34823 | + | 5.14643i | −0.0798886 | + | 0.175085i | ||||
\(865\) | 75.2234 | − | 10.8155i | 2.55767 | − | 0.367738i | ||||
\(866\) | −3.71388 | + | 15.9757i | −0.126203 | + | 0.542877i | ||||
\(867\) | −6.55330 | − | 14.3497i | −0.222562 | − | 0.487342i | ||||
\(868\) | −0.635877 | + | 0.167233i | −0.0215831 | + | 0.00567625i | ||||
\(869\) | −1.38809 | − | 0.199577i | −0.0470876 | − | 0.00677018i | ||||
\(870\) | −1.28119 | − | 22.3793i | −0.0434363 | − | 0.758731i | ||||
\(871\) | −5.39175 | + | 6.22241i | −0.182693 | + | 0.210838i | ||||
\(872\) | 0.539536 | + | 18.7554i | 0.0182710 | + | 0.635139i | ||||
\(873\) | − | 9.05529i | − | 0.306475i | ||||||
\(874\) | 23.5462 | + | 21.5834i | 0.796461 | + | 0.730069i | ||||
\(875\) | 6.38880 | 0.215981 | ||||||||
\(876\) | −1.75962 | + | 2.57409i | −0.0594520 | + | 0.0869705i | ||||
\(877\) | 34.4822 | + | 29.8790i | 1.16438 | + | 1.00894i | 0.999745 | + | 0.0225871i | \(0.00719032\pi\) |
0.164636 | + | 0.986354i | \(0.447355\pi\) | |||||||
\(878\) | 0.997854 | + | 17.4302i | 0.0336760 | + | 0.588240i | ||||
\(879\) | −0.0880122 | + | 0.612138i | −0.00296858 | + | 0.0206469i | ||||
\(880\) | −0.0781717 | + | 1.37346i | −0.00263517 | + | 0.0462994i | ||||
\(881\) | 1.47707 | − | 0.674557i | 0.0497639 | − | 0.0227264i | −0.390378 | − | 0.920655i | \(-0.627656\pi\) |
0.440142 | + | 0.897928i | \(0.354928\pi\) | |||||||
\(882\) | 6.70629 | + | 1.55901i | 0.225813 | + | 0.0524947i | ||||
\(883\) | −1.50472 | − | 10.4655i | −0.0506378 | − | 0.352194i | −0.999350 | − | 0.0360524i | \(-0.988522\pi\) |
0.948712 | − | 0.316141i | \(-0.102387\pi\) | |||||||
\(884\) | −1.09431 | − | 1.00409i | −0.0368058 | − | 0.0337710i | ||||
\(885\) | −47.5905 | + | 13.9738i | −1.59974 | + | 0.469725i | ||||
\(886\) | −29.7029 | + | 38.5247i | −0.997888 | + | 1.29426i | ||||
\(887\) | −4.40843 | − | 2.01326i | −0.148021 | − | 0.0675988i | 0.340027 | − | 0.940416i | \(-0.389564\pi\) |
−0.488048 | + | 0.872817i | \(0.662291\pi\) | |||||||
\(888\) | −17.1214 | + | 8.42227i | −0.574557 | + | 0.282633i | ||||
\(889\) | 6.11070 | − | 5.29495i | 0.204946 | − | 0.177587i | ||||
\(890\) | −35.6708 | + | 63.1745i | −1.19569 | + | 2.11761i | ||||
\(891\) | −0.0571903 | − | 0.0889898i | −0.00191595 | − | 0.00298127i | ||||
\(892\) | 11.3658 | − | 23.1246i | 0.380554 | − | 0.774268i | ||||
\(893\) | −32.4475 | − | 20.8528i | −1.08581 | − | 0.697811i | ||||
\(894\) | −1.19065 | + | 13.8733i | −0.0398213 | + | 0.463992i | ||||
\(895\) | 29.1212 | + | 8.55075i | 0.973414 | + | 0.285820i | ||||
\(896\) | 12.0272 | − | 37.0745i | 0.401800 | − | 1.23857i | ||||
\(897\) | 0.273597 | − | 3.20643i | 0.00913514 | − | 0.107059i | ||||
\(898\) | 4.31311 | − | 3.13410i | 0.143930 | − | 0.104586i | ||||
\(899\) | 0.446382 | + | 0.131070i | 0.0148877 | + | 0.00437141i | ||||
\(900\) | 5.75434 | + | 9.53964i | 0.191811 | + | 0.317988i | ||||
\(901\) | 4.09369 | − | 6.36991i | 0.136381 | − | 0.212212i | ||||
\(902\) | 0.322202 | − | 0.170036i | 0.0107281 | − | 0.00566157i | ||||
\(903\) | 4.02858 | + | 6.26860i | 0.134063 | + | 0.208606i | ||||
\(904\) | 29.0193 | + | 31.6060i | 0.965169 | + | 1.05120i | ||||
\(905\) | 42.2745 | + | 48.7873i | 1.40525 | + | 1.62175i | ||||
\(906\) | −6.66030 | + | 6.47361i | −0.221274 | + | 0.215071i | ||||
\(907\) | −14.5423 | − | 6.64126i | −0.482870 | − | 0.220519i | 0.159080 | − | 0.987266i | \(-0.449147\pi\) |
−0.641950 | + | 0.766746i | \(0.721874\pi\) | |||||||
\(908\) | 56.1511 | + | 1.59665i | 1.86344 | + | 0.0529867i | ||||
\(909\) | −5.36231 | − | 18.2623i | −0.177857 | − | 0.605724i | ||||
\(910\) | 10.4171 | − | 2.11150i | 0.345325 | − | 0.0699957i | ||||
\(911\) | −5.92335 | − | 41.1978i | −0.196249 | − | 1.36494i | −0.815048 | − | 0.579394i | \(-0.803289\pi\) |
0.618798 | − | 0.785550i | \(-0.287620\pi\) | |||||||
\(912\) | −18.7686 | + | 1.61705i | −0.621490 | + | 0.0535460i | ||||
\(913\) | −0.677855 | − | 1.48430i | −0.0224337 | − | 0.0491230i | ||||
\(914\) | −47.1755 | − | 18.3635i | −1.56043 | − | 0.607410i | ||||
\(915\) | 2.28873 | − | 15.9184i | 0.0756629 | − | 0.526247i | ||||
\(916\) | −20.5467 | + | 16.8055i | −0.678881 | + | 0.555268i | ||||
\(917\) | 2.81997 | − | 3.25442i | 0.0931237 | − | 0.107470i | ||||
\(918\) | −0.526030 | − | 1.47399i | −0.0173616 | − | 0.0486491i | ||||
\(919\) | 9.52582 | 0.314228 | 0.157114 | − | 0.987580i | \(-0.449781\pi\) | ||||
0.157114 | + | 0.987580i | \(0.449781\pi\) | |||||||
\(920\) | −41.0846 | + | 16.0315i | −1.35452 | + | 0.528544i | ||||
\(921\) | 14.2184 | 0.468511 | ||||||||
\(922\) | 0.697294 | + | 1.95389i | 0.0229642 | + | 0.0643481i | ||||
\(923\) | 4.03968 | − | 4.66204i | 0.132968 | − | 0.153453i | ||||
\(924\) | 0.461450 | + | 0.564176i | 0.0151806 | + | 0.0185600i | ||||
\(925\) | −5.34796 | + | 37.1959i | −0.175840 | + | 1.22299i | ||||
\(926\) | 42.5061 | + | 16.5459i | 1.39684 | + | 0.543732i | ||||
\(927\) | 0.196266 | + | 0.429763i | 0.00644623 | + | 0.0141153i | ||||
\(928\) | −20.8365 | + | 18.0671i | −0.683992 | + | 0.593080i | ||||
\(929\) | −5.33843 | − | 37.1296i | −0.175148 | − | 1.21818i | −0.867801 | − | 0.496911i | \(-0.834468\pi\) |
0.692653 | − | 0.721271i | \(-0.256442\pi\) | |||||||
\(930\) | −0.430016 | + | 0.0871623i | −0.0141008 | + | 0.00285816i | ||||
\(931\) | 6.45968 | + | 21.9997i | 0.211708 | + | 0.721010i | ||||
\(932\) | −0.0643159 | + | 2.26186i | −0.00210674 | + | 0.0740898i | ||||
\(933\) | 12.2081 | + | 5.57526i | 0.399676 | + | 0.182526i | ||||
\(934\) | −21.8808 | + | 21.2675i | −0.715961 | + | 0.695893i | ||||
\(935\) | −0.249241 | − | 0.287640i | −0.00815106 | − | 0.00940683i | ||||
\(936\) | 1.28360 | + | 1.39802i | 0.0419559 | + | 0.0456957i | ||||
\(937\) | 11.9622 | + | 18.6136i | 0.390788 | + | 0.608078i | 0.979784 | − | 0.200058i | \(-0.0641130\pi\) |
−0.588996 | + | 0.808136i | \(0.700477\pi\) | |||||||
\(938\) | 52.8702 | − | 27.9012i | 1.72627 | − | 0.911008i | ||||
\(939\) | −2.63890 | + | 4.10621i | −0.0861174 | + | 0.134001i | ||||
\(940\) | 45.6004 | − | 27.5063i | 1.48732 | − | 0.897157i | ||||
\(941\) | −5.14805 | − | 1.51160i | −0.167822 | − | 0.0492769i | 0.196742 | − | 0.980455i | \(-0.436964\pi\) |
−0.364564 | + | 0.931178i | \(0.618782\pi\) | |||||||
\(942\) | 5.09542 | − | 3.70255i | 0.166018 | − | 0.120636i | ||||
\(943\) | 9.25277 | + | 7.12672i | 0.301312 | + | 0.232078i | ||||
\(944\) | 49.3781 | + | 35.8552i | 1.60712 | + | 1.16699i | ||||
\(945\) | 10.7470 | + | 3.15559i | 0.349599 | + | 0.102651i | ||||
\(946\) | −0.0276685 | + | 0.322389i | −0.000899580 | + | 0.0104818i | ||||
\(947\) | −6.68081 | − | 4.29349i | −0.217097 | − | 0.139520i | 0.427573 | − | 0.903981i | \(-0.359369\pi\) |
−0.644670 | + | 0.764461i | \(0.723005\pi\) | |||||||
\(948\) | 23.7952 | + | 11.6954i | 0.772833 | + | 0.379849i | ||||
\(949\) | 0.565580 | + | 0.880059i | 0.0183595 | + | 0.0285679i | ||||
\(950\) | −18.2413 | + | 32.3062i | −0.591827 | + | 1.04815i | ||||
\(951\) | −6.24841 | + | 5.41428i | −0.202619 | + | 0.175570i | ||||
\(952\) | 4.75978 | + | 9.67604i | 0.154265 | + | 0.313602i | ||||
\(953\) | −27.2980 | − | 12.4666i | −0.884270 | − | 0.403832i | −0.0790929 | − | 0.996867i | \(-0.525202\pi\) |
−0.805177 | + | 0.593035i | \(0.797930\pi\) | |||||||
\(954\) | −5.90830 | + | 7.66308i | −0.191288 | + | 0.248101i | ||||
\(955\) | −57.8416 | + | 16.9838i | −1.87171 | + | 0.549584i | ||||
\(956\) | −3.40401 | + | 3.70991i | −0.110094 | + | 0.119987i | ||||
\(957\) | −0.0733941 | − | 0.510467i | −0.00237249 | − | 0.0165011i | ||||
\(958\) | −45.9271 | − | 10.6767i | −1.48384 | − | 0.344948i | ||||
\(959\) | 37.4150 | − | 17.0869i | 1.20819 | − | 0.551763i | ||||
\(960\) | 9.42687 | − | 24.2413i | 0.304251 | − | 0.782384i | ||||
\(961\) | −4.41046 | + | 30.6755i | −0.142273 | + | 0.989531i | ||||
\(962\) | 0.365893 | + | 6.39130i | 0.0117969 | + | 0.206064i | ||||
\(963\) | 4.64627 | + | 4.02601i | 0.149724 | + | 0.129736i | ||||
\(964\) | −13.4147 | − | 9.17012i | −0.432058 | − | 0.295350i | ||||
\(965\) | −43.1732 | −1.38980 | ||||||||
\(966\) | −10.2963 | + | 20.9747i | −0.331278 | + | 0.674850i | ||||
\(967\) | − | 29.5149i | − | 0.949135i | −0.880219 | − | 0.474568i | \(-0.842604\pi\) | ||
0.880219 | − | 0.474568i | \(-0.157396\pi\) | |||||||
\(968\) | −0.893736 | − | 31.0682i | −0.0287258 | − | 0.998570i | ||||
\(969\) | 3.41302 | − | 3.93883i | 0.109642 | − | 0.126534i | ||||
\(970\) | 2.37967 | + | 41.5674i | 0.0764067 | + | 1.33465i | ||||
\(971\) | −0.0375125 | − | 0.00539348i | −0.00120383 | − | 0.000173085i | 0.141713 | − | 0.989908i | \(-0.454739\pi\) |
−0.142917 | + | 0.989735i | \(0.545648\pi\) | |||||||
\(972\) | 0.508693 | + | 1.93423i | 0.0163163 | + | 0.0620403i | ||||
\(973\) | 25.7408 | + | 56.3645i | 0.825212 | + | 1.80696i | ||||
\(974\) | −5.88921 | + | 25.3332i | −0.188702 | + | 0.811727i | ||||
\(975\) | 3.69978 | − | 0.531947i | 0.118488 | − | 0.0170360i | ||||
\(976\) | −17.2260 | + | 9.73400i | −0.551391 | + | 0.311578i | ||||
\(977\) | 6.37952 | + | 21.7267i | 0.204099 | + | 0.695097i | 0.996385 | + | 0.0849479i | \(0.0270724\pi\) |
−0.792286 | + | 0.610149i | \(0.791109\pi\) | |||||||
\(978\) | −18.2769 | + | 23.7051i | −0.584430 | + | 0.758006i | ||||
\(979\) | −0.693376 | + | 1.51828i | −0.0221604 | + | 0.0485245i | ||||
\(980\) | −31.1942 | − | 5.39411i | −0.996463 | − | 0.172309i | ||||
\(981\) | 4.34421 | + | 5.01348i | 0.138700 | + | 0.160068i | ||||
\(982\) | −10.4094 | − | 5.87756i | −0.332178 | − | 0.187560i | ||||
\(983\) | −18.7739 | + | 12.0653i | −0.598795 | + | 0.384822i | −0.804640 | − | 0.593762i | \(-0.797642\pi\) |
0.205846 | + | 0.978584i | \(0.434006\pi\) | |||||||
\(984\) | −6.78690 | + | 1.17591i | −0.216359 | + | 0.0374867i | ||||
\(985\) | 29.8216 | − | 46.4034i | 0.950197 | − | 1.47853i | ||||
\(986\) | 0.652432 | − | 7.60205i | 0.0207777 | − | 0.242098i | ||||
\(987\) | 7.94899 | − | 27.0718i | 0.253019 | − | 0.861704i | ||||
\(988\) | −1.95229 | + | 6.01126i | −0.0621107 | + | 0.191244i | ||||
\(989\) | −9.76792 | + | 3.49133i | −0.310602 | + | 0.111018i | ||||
\(990\) | 0.285912 | + | 0.393469i | 0.00908688 | + | 0.0125053i | ||||
\(991\) | −10.1326 | + | 34.5084i | −0.321872 | + | 1.09620i | 0.626601 | + | 0.779340i | \(0.284446\pi\) |
−0.948473 | + | 0.316857i | \(0.897373\pi\) | |||||||
\(992\) | 0.408080 | + | 0.353366i | 0.0129565 | + | 0.0112194i | ||||
\(993\) | 22.9811 | + | 14.7691i | 0.729285 | + | 0.468683i | ||||
\(994\) | −39.6121 | + | 20.9045i | −1.25642 | + | 0.663052i | ||||
\(995\) | −19.6000 | + | 12.5962i | −0.621362 | + | 0.399325i | ||||
\(996\) | 3.52083 | + | 30.6496i | 0.111562 | + | 0.971169i | ||||
\(997\) | 22.6172 | − | 19.5979i | 0.716295 | − | 0.620673i | −0.218510 | − | 0.975835i | \(-0.570120\pi\) |
0.934805 | + | 0.355162i | \(0.115574\pi\) | |||||||
\(998\) | 12.6644 | + | 13.0296i | 0.400884 | + | 0.412446i | ||||
\(999\) | −2.80243 | + | 6.13646i | −0.0886648 | + | 0.194149i |
(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 | 552.2.t.a.235.22 | yes | 240 | |
8.3 | odd | 2 | inner | 552.2.t.a.235.17 | ✓ | 240 | |
23.14 | odd | 22 | inner | 552.2.t.a.451.17 | yes | 240 | |
184.83 | even | 22 | inner | 552.2.t.a.451.22 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.t.a.235.17 | ✓ | 240 | 8.3 | odd | 2 | inner | |
552.2.t.a.235.22 | yes | 240 | 1.1 | even | 1 | trivial | |
552.2.t.a.451.17 | yes | 240 | 23.14 | odd | 22 | inner | |
552.2.t.a.451.22 | yes | 240 | 184.83 | even | 22 | inner |