Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(7,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.w (of order \(44\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 7.1 | ||
Character | \(\chi\) | \(=\) | 690.7 |
Dual form | 690.2.w.a.493.1 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{19}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.997452 | + | 0.0713392i | −0.705305 | + | 0.0504444i | ||||
\(3\) | 0.212565 | − | 0.977147i | 0.122725 | − | 0.564156i | ||||
\(4\) | 0.989821 | − | 0.142315i | 0.494911 | − | 0.0711574i | ||||
\(5\) | −2.20400 | + | 0.377364i | −0.985657 | + | 0.168762i | ||||
\(6\) | −0.142315 | + | 0.989821i | −0.0580998 | + | 0.404093i | ||||
\(7\) | 2.34384 | − | 4.29243i | 0.885889 | − | 1.62238i | 0.107851 | − | 0.994167i | \(-0.465603\pi\) |
0.778038 | − | 0.628217i | \(-0.216215\pi\) | |||||||
\(8\) | −0.977147 | + | 0.212565i | −0.345474 | + | 0.0751532i | ||||
\(9\) | −0.909632 | − | 0.415415i | −0.303211 | − | 0.138472i | ||||
\(10\) | 2.17146 | − | 0.533633i | 0.686676 | − | 0.168750i | ||||
\(11\) | 1.50612 | − | 1.30506i | 0.454113 | − | 0.393491i | −0.397550 | − | 0.917580i | \(-0.630140\pi\) |
0.851664 | + | 0.524089i | \(0.175594\pi\) | |||||||
\(12\) | 0.0713392 | − | 0.997452i | 0.0205938 | − | 0.287940i | ||||
\(13\) | −0.244830 | + | 0.133687i | −0.0679036 | + | 0.0370782i | −0.512842 | − | 0.858483i | \(-0.671407\pi\) |
0.444938 | + | 0.895561i | \(0.353226\pi\) | |||||||
\(14\) | −2.03165 | + | 4.44870i | −0.542982 | + | 1.18896i | ||||
\(15\) | −0.0997532 | + | 2.23384i | −0.0257562 | + | 0.576775i | ||||
\(16\) | 0.959493 | − | 0.281733i | 0.239873 | − | 0.0704331i | ||||
\(17\) | −1.82271 | − | 2.43486i | −0.442073 | − | 0.590540i | 0.523061 | − | 0.852295i | \(-0.324790\pi\) |
−0.965134 | + | 0.261755i | \(0.915699\pi\) | |||||||
\(18\) | 0.936950 | + | 0.349464i | 0.220841 | + | 0.0823695i | ||||
\(19\) | 0.800012 | + | 5.56421i | 0.183535 | + | 1.27652i | 0.848321 | + | 0.529482i | \(0.177614\pi\) |
−0.664785 | + | 0.747034i | \(0.731477\pi\) | |||||||
\(20\) | −2.12786 | + | 0.687184i | −0.475803 | + | 0.153659i | ||||
\(21\) | −3.69611 | − | 3.20270i | −0.806557 | − | 0.698886i | ||||
\(22\) | −1.40918 | + | 1.40918i | −0.300439 | + | 0.300439i | ||||
\(23\) | −4.79141 | − | 0.205848i | −0.999078 | − | 0.0429223i | ||||
\(24\) | 1.00000i | 0.204124i | ||||||||
\(25\) | 4.71519 | − | 1.66342i | 0.943039 | − | 0.332683i | ||||
\(26\) | 0.234669 | − | 0.150813i | 0.0460224 | − | 0.0295768i | ||||
\(27\) | −0.599278 | + | 0.800541i | −0.115331 | + | 0.154064i | ||||
\(28\) | 1.70911 | − | 4.58230i | 0.322991 | − | 0.865973i | ||||
\(29\) | −1.36321 | − | 0.196000i | −0.253142 | − | 0.0363963i | 0.0145757 | − | 0.999894i | \(-0.495360\pi\) |
−0.267717 | + | 0.963498i | \(0.586269\pi\) | |||||||
\(30\) | −0.0598614 | − | 2.23527i | −0.0109291 | − | 0.408102i | ||||
\(31\) | −4.02938 | − | 2.58953i | −0.723698 | − | 0.465093i | 0.126223 | − | 0.992002i | \(-0.459714\pi\) |
−0.849922 | + | 0.526909i | \(0.823351\pi\) | |||||||
\(32\) | −0.936950 | + | 0.349464i | −0.165631 | + | 0.0617771i | ||||
\(33\) | −0.955089 | − | 1.74912i | −0.166260 | − | 0.304482i | ||||
\(34\) | 1.99177 | + | 2.29863i | 0.341586 | + | 0.394211i | ||||
\(35\) | −3.54601 | + | 10.3450i | −0.599385 | + | 1.74862i | ||||
\(36\) | −0.959493 | − | 0.281733i | −0.159915 | − | 0.0469554i | ||||
\(37\) | −3.26626 | − | 8.75718i | −0.536970 | − | 1.43967i | −0.868244 | − | 0.496137i | \(-0.834751\pi\) |
0.331275 | − | 0.943534i | \(-0.392521\pi\) | |||||||
\(38\) | −1.19492 | − | 5.49296i | −0.193842 | − | 0.891076i | ||||
\(39\) | 0.0785898 | + | 0.267652i | 0.0125844 | + | 0.0428586i | ||||
\(40\) | 2.07341 | − | 0.837233i | 0.327835 | − | 0.132378i | ||||
\(41\) | −3.49392 | − | 7.65063i | −0.545659 | − | 1.19483i | −0.958780 | − | 0.284151i | \(-0.908288\pi\) |
0.413120 | − | 0.910676i | \(-0.364439\pi\) | |||||||
\(42\) | 3.91517 | + | 2.93086i | 0.604124 | + | 0.452242i | ||||
\(43\) | 1.89412 | + | 0.412041i | 0.288851 | + | 0.0628357i | 0.354656 | − | 0.934997i | \(-0.384598\pi\) |
−0.0658051 | + | 0.997832i | \(0.520962\pi\) | |||||||
\(44\) | 1.30506 | − | 1.50612i | 0.196746 | − | 0.227057i | ||||
\(45\) | 2.16159 | + | 0.572311i | 0.322230 | + | 0.0853151i | ||||
\(46\) | 4.79389 | − | 0.136492i | 0.706820 | − | 0.0201246i | ||||
\(47\) | 1.51427 | + | 1.51427i | 0.220879 | + | 0.220879i | 0.808868 | − | 0.587990i | \(-0.200080\pi\) |
−0.587990 | + | 0.808868i | \(0.700080\pi\) | |||||||
\(48\) | −0.0713392 | − | 0.997452i | −0.0102969 | − | 0.143970i | ||||
\(49\) | −9.14684 | − | 14.2328i | −1.30669 | − | 2.03325i | ||||
\(50\) | −4.58451 | + | 1.99556i | −0.648348 | + | 0.282214i | ||||
\(51\) | −2.76666 | + | 1.26349i | −0.387410 | + | 0.176924i | ||||
\(52\) | −0.223312 | + | 0.167169i | −0.0309678 | + | 0.0231822i | ||||
\(53\) | 4.69085 | + | 2.56140i | 0.644337 | + | 0.351835i | 0.767963 | − | 0.640494i | \(-0.221270\pi\) |
−0.123626 | + | 0.992329i | \(0.539452\pi\) | |||||||
\(54\) | 0.540641 | − | 0.841254i | 0.0735719 | − | 0.114480i | ||||
\(55\) | −2.82701 | + | 3.44471i | −0.381193 | + | 0.464485i | ||||
\(56\) | −1.37786 | + | 4.69255i | −0.184124 | + | 0.627068i | ||||
\(57\) | 5.60710 | + | 0.401028i | 0.742679 | + | 0.0531174i | ||||
\(58\) | 1.37372 | + | 0.0982503i | 0.180378 | + | 0.0129009i | ||||
\(59\) | −1.00990 | + | 3.43939i | −0.131477 | + | 0.447770i | −0.998746 | − | 0.0500704i | \(-0.984055\pi\) |
0.867268 | + | 0.497841i | \(0.165874\pi\) | |||||||
\(60\) | 0.219171 | + | 2.22530i | 0.0282949 | + | 0.287285i | ||||
\(61\) | −8.04008 | + | 12.5106i | −1.02943 | + | 1.60182i | −0.257320 | + | 0.966326i | \(0.582839\pi\) |
−0.772107 | + | 0.635493i | \(0.780797\pi\) | |||||||
\(62\) | 4.20385 | + | 2.29548i | 0.533889 | + | 0.291526i | ||||
\(63\) | −3.91517 | + | 2.93086i | −0.493265 | + | 0.369254i | ||||
\(64\) | 0.909632 | − | 0.415415i | 0.113704 | − | 0.0519269i | ||||
\(65\) | 0.489156 | − | 0.387036i | 0.0606723 | − | 0.0480059i | ||||
\(66\) | 1.07744 | + | 1.67652i | 0.132623 | + | 0.206366i | ||||
\(67\) | −1.04123 | − | 14.5583i | −0.127207 | − | 1.77858i | −0.515347 | − | 0.856981i | \(-0.672337\pi\) |
0.388141 | − | 0.921600i | \(-0.373118\pi\) | |||||||
\(68\) | −2.15068 | − | 2.15068i | −0.260808 | − | 0.260808i | ||||
\(69\) | −1.21963 | + | 4.63816i | −0.146826 | + | 0.558368i | ||||
\(70\) | 2.79897 | − | 10.5716i | 0.334541 | − | 1.26355i | ||||
\(71\) | −2.87789 | + | 3.32126i | −0.341543 | + | 0.394161i | −0.900372 | − | 0.435122i | \(-0.856705\pi\) |
0.558829 | + | 0.829283i | \(0.311251\pi\) | |||||||
\(72\) | 0.977147 | + | 0.212565i | 0.115158 | + | 0.0250511i | ||||
\(73\) | −3.85745 | − | 2.88765i | −0.451481 | − | 0.337974i | 0.349218 | − | 0.937041i | \(-0.386447\pi\) |
−0.800699 | + | 0.599067i | \(0.795538\pi\) | |||||||
\(74\) | 3.88267 | + | 8.50186i | 0.451351 | + | 0.988321i | ||||
\(75\) | −0.623115 | − | 4.96102i | −0.0719511 | − | 0.572849i | ||||
\(76\) | 1.58374 | + | 5.39372i | 0.181667 | + | 0.618702i | ||||
\(77\) | −2.07177 | − | 9.52378i | −0.236100 | − | 1.08534i | ||||
\(78\) | −0.0974836 | − | 0.261364i | −0.0110378 | − | 0.0295936i | ||||
\(79\) | −7.25291 | − | 2.12965i | −0.816016 | − | 0.239604i | −0.153016 | − | 0.988224i | \(-0.548899\pi\) |
−0.663000 | + | 0.748620i | \(0.730717\pi\) | |||||||
\(80\) | −2.00840 | + | 0.983015i | −0.224546 | + | 0.109904i | ||||
\(81\) | 0.654861 | + | 0.755750i | 0.0727623 | + | 0.0839722i | ||||
\(82\) | 4.03081 | + | 7.38188i | 0.445129 | + | 0.815192i | ||||
\(83\) | 4.13083 | − | 1.54072i | 0.453418 | − | 0.169116i | −0.112371 | − | 0.993666i | \(-0.535845\pi\) |
0.565789 | + | 0.824550i | \(0.308572\pi\) | |||||||
\(84\) | −4.11428 | − | 2.64409i | −0.448905 | − | 0.288494i | ||||
\(85\) | 4.93608 | + | 4.67860i | 0.535393 | + | 0.507465i | ||||
\(86\) | −1.91869 | − | 0.275866i | −0.206898 | − | 0.0297474i | ||||
\(87\) | −0.481292 | + | 1.29039i | −0.0515999 | + | 0.138345i | ||||
\(88\) | −1.19429 | + | 1.59539i | −0.127312 | + | 0.170069i | ||||
\(89\) | −1.70958 | + | 1.09868i | −0.181215 | + | 0.116460i | −0.628103 | − | 0.778130i | \(-0.716168\pi\) |
0.446889 | + | 0.894590i | \(0.352532\pi\) | |||||||
\(90\) | −2.19691 | − | 0.416647i | −0.231574 | − | 0.0439184i | ||||
\(91\) | 1.36426i | 0.143013i | ||||||||
\(92\) | −4.77194 | + | 0.478136i | −0.497509 | + | 0.0498491i | ||||
\(93\) | −3.38685 | + | 3.38685i | −0.351200 | + | 0.351200i | ||||
\(94\) | −1.61844 | − | 1.40238i | −0.166929 | − | 0.144645i | ||||
\(95\) | −3.86295 | − | 11.9616i | −0.396331 | − | 1.22723i | ||||
\(96\) | 0.142315 | + | 0.989821i | 0.0145249 | + | 0.101023i | ||||
\(97\) | 12.7250 | + | 4.74617i | 1.29202 | + | 0.481900i | 0.899129 | − | 0.437683i | \(-0.144201\pi\) |
0.392895 | + | 0.919583i | \(0.371473\pi\) | |||||||
\(98\) | 10.1389 | + | 13.5440i | 1.02418 | + | 1.36815i | ||||
\(99\) | −1.91216 | + | 0.561461i | −0.192179 | + | 0.0564290i | ||||
\(100\) | 4.43047 | − | 2.31753i | 0.443047 | − | 0.231753i | ||||
\(101\) | 6.27379 | − | 13.7377i | 0.624266 | − | 1.36695i | −0.288110 | − | 0.957597i | \(-0.593027\pi\) |
0.912376 | − | 0.409354i | \(-0.134246\pi\) | |||||||
\(102\) | 2.66948 | − | 1.45764i | 0.264318 | − | 0.144328i | ||||
\(103\) | −0.436546 | + | 6.10371i | −0.0430141 | + | 0.601416i | 0.929537 | + | 0.368728i | \(0.120207\pi\) |
−0.972551 | + | 0.232688i | \(0.925248\pi\) | |||||||
\(104\) | 0.210818 | − | 0.182674i | 0.0206724 | − | 0.0179127i | ||||
\(105\) | 9.35479 | + | 5.66395i | 0.912934 | + | 0.552745i | ||||
\(106\) | −4.86162 | − | 2.22023i | −0.472202 | − | 0.215648i | ||||
\(107\) | 0.838508 | − | 0.182406i | 0.0810616 | − | 0.0176339i | −0.171852 | − | 0.985123i | \(-0.554975\pi\) |
0.252913 | + | 0.967489i | \(0.418611\pi\) | |||||||
\(108\) | −0.479249 | + | 0.877679i | −0.0461158 | + | 0.0844547i | ||||
\(109\) | 0.651483 | − | 4.53117i | 0.0624008 | − | 0.434007i | −0.934541 | − | 0.355856i | \(-0.884189\pi\) |
0.996942 | − | 0.0781509i | \(-0.0249016\pi\) | |||||||
\(110\) | 2.57406 | − | 3.63761i | 0.245427 | − | 0.346833i | ||||
\(111\) | −9.25134 | + | 1.33014i | −0.878099 | + | 0.126252i | ||||
\(112\) | 1.03958 | − | 4.77889i | 0.0982314 | − | 0.451563i | ||||
\(113\) | 4.54141 | − | 0.324808i | 0.427219 | − | 0.0305553i | 0.143926 | − | 0.989589i | \(-0.454027\pi\) |
0.283294 | + | 0.959033i | \(0.408573\pi\) | |||||||
\(114\) | −5.62143 | −0.526495 | ||||||||
\(115\) | 10.6379 | − | 1.35442i | 0.991992 | − | 0.126300i | ||||
\(116\) | −1.37723 | −0.127872 | ||||||||
\(117\) | 0.278241 | − | 0.0199002i | 0.0257234 | − | 0.00183977i | ||||
\(118\) | 0.761960 | − | 3.50267i | 0.0701441 | − | 0.322447i | ||||
\(119\) | −14.7236 | + | 2.11694i | −1.34971 | + | 0.194059i | ||||
\(120\) | −0.377364 | − | 2.20400i | −0.0344484 | − | 0.201196i | ||||
\(121\) | −1.00025 | + | 6.95686i | −0.0909314 | + | 0.632442i | ||||
\(122\) | 7.12710 | − | 13.0523i | 0.645257 | − | 1.18170i | ||||
\(123\) | −8.21847 | + | 1.78782i | −0.741035 | + | 0.161202i | ||||
\(124\) | −4.35690 | − | 1.98973i | −0.391261 | − | 0.178683i | ||||
\(125\) | −9.76455 | + | 5.44550i | −0.873368 | + | 0.487061i | ||||
\(126\) | 3.69611 | − | 3.20270i | 0.329276 | − | 0.285319i | ||||
\(127\) | 1.01714 | − | 14.2215i | 0.0902566 | − | 1.26195i | −0.727387 | − | 0.686227i | \(-0.759266\pi\) |
0.817644 | − | 0.575725i | \(-0.195280\pi\) | |||||||
\(128\) | −0.877679 | + | 0.479249i | −0.0775766 | + | 0.0423600i | ||||
\(129\) | 0.805250 | − | 1.76325i | 0.0708983 | − | 0.155246i | ||||
\(130\) | −0.460298 | + | 0.420946i | −0.0403708 | + | 0.0369194i | ||||
\(131\) | 15.7201 | − | 4.61585i | 1.37348 | − | 0.403289i | 0.489982 | − | 0.871732i | \(-0.337003\pi\) |
0.883493 | + | 0.468443i | \(0.155185\pi\) | |||||||
\(132\) | −1.19429 | − | 1.59539i | −0.103950 | − | 0.138861i | ||||
\(133\) | 25.7590 | + | 9.60763i | 2.23359 | + | 0.833087i | ||||
\(134\) | 2.07716 | + | 14.4469i | 0.179439 | + | 1.24803i | ||||
\(135\) | 1.01871 | − | 1.99054i | 0.0876766 | − | 0.171318i | ||||
\(136\) | 2.29863 | + | 1.99177i | 0.197106 | + | 0.170793i | ||||
\(137\) | 3.33155 | − | 3.33155i | 0.284633 | − | 0.284633i | −0.550320 | − | 0.834954i | \(-0.685494\pi\) |
0.834954 | + | 0.550320i | \(0.185494\pi\) | |||||||
\(138\) | 0.885642 | − | 4.71335i | 0.0753908 | − | 0.401227i | ||||
\(139\) | 1.19039i | 0.100968i | 0.998725 | + | 0.0504838i | \(0.0160763\pi\) | ||||
−0.998725 | + | 0.0504838i | \(0.983924\pi\) | |||||||
\(140\) | −2.03768 | + | 10.7443i | −0.172215 | + | 0.908061i | ||||
\(141\) | 1.80154 | − | 1.15778i | 0.151717 | − | 0.0975028i | ||||
\(142\) | 2.63362 | − | 3.51811i | 0.221009 | − | 0.295233i | ||||
\(143\) | −0.194274 | + | 0.520868i | −0.0162460 | + | 0.0435572i | ||||
\(144\) | −0.989821 | − | 0.142315i | −0.0824851 | − | 0.0118596i | ||||
\(145\) | 3.07847 | − | 0.0824428i | 0.255653 | − | 0.00684650i | ||||
\(146\) | 4.05363 | + | 2.60511i | 0.335480 | + | 0.215600i | ||||
\(147\) | −15.8518 | + | 5.91241i | −1.30743 | + | 0.487648i | ||||
\(148\) | −4.47929 | − | 8.20321i | −0.368195 | − | 0.674299i | ||||
\(149\) | 7.75232 | + | 8.94665i | 0.635094 | + | 0.732938i | 0.978499 | − | 0.206249i | \(-0.0661258\pi\) |
−0.343405 | + | 0.939187i | \(0.611580\pi\) | |||||||
\(150\) | 0.975443 | + | 4.90393i | 0.0796446 | + | 0.400404i | ||||
\(151\) | 9.50239 | + | 2.79015i | 0.773293 | + | 0.227059i | 0.644492 | − | 0.764611i | \(-0.277069\pi\) |
0.128801 | + | 0.991670i | \(0.458887\pi\) | |||||||
\(152\) | −1.96449 | − | 5.26699i | −0.159341 | − | 0.427210i | ||||
\(153\) | 0.646521 | + | 2.97201i | 0.0522681 | + | 0.240273i | ||||
\(154\) | 2.74591 | + | 9.35172i | 0.221272 | + | 0.753583i | ||||
\(155\) | 9.85793 | + | 4.18676i | 0.791808 | + | 0.336289i | ||||
\(156\) | 0.115881 | + | 0.253743i | 0.00927788 | + | 0.0203157i | ||||
\(157\) | 12.4401 | + | 9.31251i | 0.992824 | + | 0.743219i | 0.966561 | − | 0.256436i | \(-0.0825483\pi\) |
0.0262631 | + | 0.999655i | \(0.491639\pi\) | |||||||
\(158\) | 7.38636 | + | 1.60680i | 0.587627 | + | 0.127830i | ||||
\(159\) | 3.49997 | − | 4.03918i | 0.277566 | − | 0.320328i | ||||
\(160\) | 1.93316 | − | 1.12379i | 0.152830 | − | 0.0888433i | ||||
\(161\) | −12.1139 | + | 20.0843i | −0.954709 | + | 1.58286i | ||||
\(162\) | −0.707107 | − | 0.707107i | −0.0555556 | − | 0.0555556i | ||||
\(163\) | 0.0904249 | + | 1.26431i | 0.00708263 | + | 0.0990281i | 0.999764 | − | 0.0217372i | \(-0.00691971\pi\) |
−0.992681 | + | 0.120765i | \(0.961465\pi\) | |||||||
\(164\) | −4.54716 | − | 7.07552i | −0.355073 | − | 0.552505i | ||||
\(165\) | 2.76506 | + | 3.49463i | 0.215260 | + | 0.272056i | ||||
\(166\) | −4.01039 | + | 1.83148i | −0.311267 | + | 0.142151i | ||||
\(167\) | −9.34047 | + | 6.99218i | −0.722787 | + | 0.541072i | −0.896131 | − | 0.443790i | \(-0.853634\pi\) |
0.173344 | + | 0.984861i | \(0.444543\pi\) | |||||||
\(168\) | 4.29243 | + | 2.34384i | 0.331168 | + | 0.180831i | ||||
\(169\) | −6.98626 | + | 10.8708i | −0.537405 | + | 0.836218i | ||||
\(170\) | −5.25727 | − | 4.31454i | −0.403214 | − | 0.330910i | ||||
\(171\) | 1.58374 | − | 5.39372i | 0.121112 | − | 0.412468i | ||||
\(172\) | 1.93348 | + | 0.138285i | 0.147427 | + | 0.0105442i | ||||
\(173\) | 8.09225 | + | 0.578769i | 0.615242 | + | 0.0440030i | 0.375483 | − | 0.926829i | \(-0.377477\pi\) |
0.239760 | + | 0.970832i | \(0.422931\pi\) | |||||||
\(174\) | 0.388010 | − | 1.32144i | 0.0294149 | − | 0.100178i | ||||
\(175\) | 3.91158 | − | 24.1384i | 0.295687 | − | 1.82469i | ||||
\(176\) | 1.07744 | − | 1.67652i | 0.0812148 | − | 0.126373i | ||||
\(177\) | 3.14612 | + | 1.71791i | 0.236477 | + | 0.129126i | ||||
\(178\) | 1.62684 | − | 1.21784i | 0.121937 | − | 0.0912808i | ||||
\(179\) | 14.0404 | − | 6.41204i | 1.04943 | − | 0.479259i | 0.185381 | − | 0.982667i | \(-0.440648\pi\) |
0.864049 | + | 0.503408i | \(0.167921\pi\) | |||||||
\(180\) | 2.22103 | + | 0.258859i | 0.165546 | + | 0.0192942i | ||||
\(181\) | −4.57070 | − | 7.11216i | −0.339738 | − | 0.528642i | 0.628781 | − | 0.777582i | \(-0.283554\pi\) |
−0.968519 | + | 0.248940i | \(0.919918\pi\) | |||||||
\(182\) | −0.0973249 | − | 1.36078i | −0.00721420 | − | 0.100868i | ||||
\(183\) | 10.5157 | + | 10.5157i | 0.777340 | + | 0.777340i | ||||
\(184\) | 4.72567 | − | 0.817344i | 0.348381 | − | 0.0602554i | ||||
\(185\) | 10.5035 | + | 18.0682i | 0.772230 | + | 1.32840i | ||||
\(186\) | 3.13661 | − | 3.61984i | 0.229987 | − | 0.265420i | ||||
\(187\) | −5.92288 | − | 1.28844i | −0.433124 | − | 0.0942203i | ||||
\(188\) | 1.71436 | + | 1.28335i | 0.125032 | + | 0.0935981i | ||||
\(189\) | 2.03165 | + | 4.44870i | 0.147781 | + | 0.323595i | ||||
\(190\) | 4.70644 | + | 11.6555i | 0.341441 | + | 0.845582i | ||||
\(191\) | −4.74498 | − | 16.1599i | −0.343334 | − | 1.16929i | −0.932468 | − | 0.361254i | \(-0.882349\pi\) |
0.589133 | − | 0.808036i | \(-0.299469\pi\) | |||||||
\(192\) | −0.212565 | − | 0.977147i | −0.0153406 | − | 0.0705195i | ||||
\(193\) | 6.77690 | + | 18.1696i | 0.487812 | + | 1.30787i | 0.914906 | + | 0.403667i | \(0.132264\pi\) |
−0.427094 | + | 0.904207i | \(0.640463\pi\) | |||||||
\(194\) | −13.0311 | − | 3.82629i | −0.935581 | − | 0.274711i | ||||
\(195\) | −0.274214 | − | 0.560247i | −0.0196369 | − | 0.0401201i | ||||
\(196\) | −11.0793 | − | 12.7862i | −0.791376 | − | 0.913297i | ||||
\(197\) | −6.94387 | − | 12.7168i | −0.494730 | − | 0.906031i | −0.999095 | − | 0.0425401i | \(-0.986455\pi\) |
0.504364 | − | 0.863491i | \(-0.331727\pi\) | |||||||
\(198\) | 1.86723 | − | 0.696443i | 0.132699 | − | 0.0494940i | ||||
\(199\) | 15.9551 | + | 10.2537i | 1.13102 | + | 0.726865i | 0.965773 | − | 0.259387i | \(-0.0835205\pi\) |
0.165250 | + | 0.986252i | \(0.447157\pi\) | |||||||
\(200\) | −4.25385 | + | 2.62769i | −0.300793 | + | 0.185806i | ||||
\(201\) | −14.4469 | − | 2.07716i | −1.01901 | − | 0.146511i | ||||
\(202\) | −5.27777 | + | 14.1503i | −0.371343 | + | 0.995609i | ||||
\(203\) | −4.03646 | + | 5.39208i | −0.283304 | + | 0.378450i | ||||
\(204\) | −2.55869 | + | 1.64437i | −0.179144 | + | 0.115129i | ||||
\(205\) | 10.5877 | + | 15.5435i | 0.739474 | + | 1.08560i | ||||
\(206\) | − | 6.11930i | − | 0.426352i | ||||||
\(207\) | 4.27291 | + | 2.17767i | 0.296988 | + | 0.151359i | ||||
\(208\) | −0.197249 | + | 0.197249i | −0.0136767 | + | 0.0136767i | ||||
\(209\) | 8.46656 | + | 7.33632i | 0.585644 | + | 0.507464i | ||||
\(210\) | −9.73502 | − | 4.98216i | −0.671780 | − | 0.343802i | ||||
\(211\) | 2.08477 | + | 14.4999i | 0.143522 | + | 0.998215i | 0.926535 | + | 0.376210i | \(0.122773\pi\) |
−0.783013 | + | 0.622006i | \(0.786318\pi\) | |||||||
\(212\) | 5.00762 | + | 1.86775i | 0.343925 | + | 0.128277i | ||||
\(213\) | 2.63362 | + | 3.51811i | 0.180453 | + | 0.241057i | ||||
\(214\) | −0.823359 | + | 0.241760i | −0.0562837 | + | 0.0165264i | ||||
\(215\) | −4.33013 | − | 0.193364i | −0.295312 | − | 0.0131873i | ||||
\(216\) | 0.415415 | − | 0.909632i | 0.0282654 | − | 0.0618926i | ||||
\(217\) | −20.5596 | + | 11.2264i | −1.39568 | + | 0.762096i | ||||
\(218\) | −0.326574 | + | 4.56610i | −0.0221184 | + | 0.309255i | ||||
\(219\) | −3.64162 | + | 3.15548i | −0.246078 | + | 0.213228i | ||||
\(220\) | −2.30800 | + | 3.81197i | −0.155605 | + | 0.257003i | ||||
\(221\) | 0.771765 | + | 0.352453i | 0.0519145 | + | 0.0237086i | ||||
\(222\) | 9.13288 | − | 1.98674i | 0.612959 | − | 0.133341i | ||||
\(223\) | 3.97564 | − | 7.28085i | 0.266229 | − | 0.487562i | −0.710029 | − | 0.704172i | \(-0.751318\pi\) |
0.976258 | + | 0.216611i | \(0.0695002\pi\) | |||||||
\(224\) | −0.696013 | + | 4.84088i | −0.0465043 | + | 0.323445i | ||||
\(225\) | −4.98010 | − | 0.445666i | −0.332007 | − | 0.0297110i | ||||
\(226\) | −4.50666 | + | 0.647960i | −0.299779 | + | 0.0431017i | ||||
\(227\) | −2.48336 | + | 11.4158i | −0.164826 | + | 0.757695i | 0.818303 | + | 0.574786i | \(0.194915\pi\) |
−0.983130 | + | 0.182909i | \(0.941449\pi\) | |||||||
\(228\) | 5.60710 | − | 0.401028i | 0.371339 | − | 0.0265587i | ||||
\(229\) | 15.2432 | 1.00730 | 0.503648 | − | 0.863909i | \(-0.331991\pi\) | ||||
0.503648 | + | 0.863909i | \(0.331991\pi\) | |||||||
\(230\) | −10.5142 | + | 2.10987i | −0.693286 | + | 0.139121i | ||||
\(231\) | −9.74652 | −0.641274 | ||||||||
\(232\) | 1.37372 | − | 0.0982503i | 0.0901890 | − | 0.00645045i | ||||
\(233\) | 2.97475 | − | 13.6747i | 0.194883 | − | 0.895860i | −0.770991 | − | 0.636846i | \(-0.780239\pi\) |
0.965873 | − | 0.259014i | \(-0.0833977\pi\) | |||||||
\(234\) | −0.276112 | + | 0.0396990i | −0.0180500 | + | 0.00259520i | ||||
\(235\) | −3.90887 | − | 2.76601i | −0.254987 | − | 0.180435i | ||||
\(236\) | −0.510140 | + | 3.54810i | −0.0332073 | + | 0.230962i | ||||
\(237\) | −3.62269 | + | 6.63447i | −0.235319 | + | 0.430955i | ||||
\(238\) | 14.5351 | − | 3.16191i | 0.942169 | − | 0.204956i | ||||
\(239\) | −1.45787 | − | 0.665786i | −0.0943016 | − | 0.0430661i | 0.367706 | − | 0.929942i | \(-0.380143\pi\) |
−0.462007 | + | 0.886876i | \(0.652871\pi\) | |||||||
\(240\) | 0.533633 | + | 2.17146i | 0.0344459 | + | 0.140167i | ||||
\(241\) | 18.6512 | − | 16.1613i | 1.20143 | − | 1.04104i | 0.203347 | − | 0.979107i | \(-0.434818\pi\) |
0.998080 | − | 0.0619357i | \(-0.0197274\pi\) | |||||||
\(242\) | 0.501400 | − | 7.01049i | 0.0322312 | − | 0.450652i | ||||
\(243\) | 0.877679 | − | 0.479249i | 0.0563031 | − | 0.0307438i | ||||
\(244\) | −6.17780 | + | 13.5275i | −0.395493 | + | 0.866009i | ||||
\(245\) | 25.5305 | + | 27.9172i | 1.63108 | + | 1.78357i | ||||
\(246\) | 8.06999 | − | 2.36956i | 0.514524 | − | 0.151078i | ||||
\(247\) | −0.939731 | − | 1.25533i | −0.0597936 | − | 0.0798750i | ||||
\(248\) | 4.48774 | + | 1.67384i | 0.284972 | + | 0.106289i | ||||
\(249\) | −0.627439 | − | 4.36393i | −0.0397623 | − | 0.276553i | ||||
\(250\) | 9.35120 | − | 6.12822i | 0.591422 | − | 0.387583i | ||||
\(251\) | 19.8769 | + | 17.2235i | 1.25462 | + | 1.08713i | 0.992518 | + | 0.122095i | \(0.0389611\pi\) |
0.262102 | + | 0.965040i | \(0.415584\pi\) | |||||||
\(252\) | −3.45822 | + | 3.45822i | −0.217847 | + | 0.217847i | ||||
\(253\) | −7.48510 | + | 5.94306i | −0.470584 | + | 0.373637i | ||||
\(254\) | 14.2578i | 0.894614i | ||||||||
\(255\) | 5.62092 | − | 3.82877i | 0.351995 | − | 0.239767i | ||||
\(256\) | 0.841254 | − | 0.540641i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | 11.0118 | − | 14.7100i | 0.686894 | − | 0.917584i | −0.312584 | − | 0.949890i | \(-0.601194\pi\) |
0.999478 | + | 0.0323067i | \(0.0102853\pi\) | |||||||
\(258\) | −0.677409 | + | 1.81620i | −0.0421737 | + | 0.113072i | ||||
\(259\) | −45.2451 | − | 6.50527i | −2.81140 | − | 0.404218i | ||||
\(260\) | 0.429096 | − | 0.452711i | 0.0266114 | − | 0.0280759i | ||||
\(261\) | 1.15860 | + | 0.744585i | 0.0717154 | + | 0.0460887i | ||||
\(262\) | −15.3508 | + | 5.72555i | −0.948376 | + | 0.353726i | ||||
\(263\) | −12.8323 | − | 23.5006i | −0.791273 | − | 1.44911i | −0.890957 | − | 0.454089i | \(-0.849965\pi\) |
0.0996838 | − | 0.995019i | \(-0.468217\pi\) | |||||||
\(264\) | 1.30506 | + | 1.50612i | 0.0803211 | + | 0.0926955i | ||||
\(265\) | −11.3052 | − | 3.87515i | −0.694472 | − | 0.238049i | ||||
\(266\) | −26.3788 | − | 7.74552i | −1.61739 | − | 0.474908i | ||||
\(267\) | 0.710173 | + | 1.90405i | 0.0434619 | + | 0.116526i | ||||
\(268\) | −3.10250 | − | 14.2620i | −0.189515 | − | 0.871187i | ||||
\(269\) | −4.67026 | − | 15.9054i | −0.284751 | − | 0.969772i | −0.970332 | − | 0.241776i | \(-0.922270\pi\) |
0.685581 | − | 0.727996i | \(-0.259548\pi\) | |||||||
\(270\) | −0.874111 | + | 2.05814i | −0.0531967 | + | 0.125254i | ||||
\(271\) | −4.23459 | − | 9.27246i | −0.257233 | − | 0.563262i | 0.736320 | − | 0.676634i | \(-0.236562\pi\) |
−0.993553 | + | 0.113372i | \(0.963835\pi\) | |||||||
\(272\) | −2.43486 | − | 1.82271i | −0.147635 | − | 0.110518i | ||||
\(273\) | 1.33308 | + | 0.289994i | 0.0806816 | + | 0.0175512i | ||||
\(274\) | −3.08539 | + | 3.56073i | −0.186395 | + | 0.215112i | ||||
\(275\) | 4.93080 | − | 8.65894i | 0.297338 | − | 0.522154i | ||||
\(276\) | −0.547139 | + | 4.76452i | −0.0329339 | + | 0.286790i | ||||
\(277\) | −11.1432 | − | 11.1432i | −0.669530 | − | 0.669530i | 0.288077 | − | 0.957607i | \(-0.406984\pi\) |
−0.957607 | + | 0.288077i | \(0.906984\pi\) | |||||||
\(278\) | −0.0849215 | − | 1.18736i | −0.00509325 | − | 0.0712129i | ||||
\(279\) | 2.58953 | + | 4.02938i | 0.155031 | + | 0.241233i | ||||
\(280\) | 1.26599 | − | 10.8623i | 0.0756575 | − | 0.649147i | ||||
\(281\) | 15.9541 | − | 7.28602i | 0.951745 | − | 0.434647i | 0.121838 | − | 0.992550i | \(-0.461121\pi\) |
0.829906 | + | 0.557903i | \(0.188394\pi\) | |||||||
\(282\) | −1.71436 | + | 1.28335i | −0.102089 | + | 0.0764226i | ||||
\(283\) | −24.1808 | − | 13.2037i | −1.43740 | − | 0.784881i | −0.443619 | − | 0.896216i | \(-0.646305\pi\) |
−0.993783 | + | 0.111335i | \(0.964487\pi\) | |||||||
\(284\) | −2.37593 | + | 3.69702i | −0.140986 | + | 0.219378i | ||||
\(285\) | −12.5094 | + | 1.23205i | −0.740991 | + | 0.0729805i | ||||
\(286\) | 0.156621 | − | 0.533400i | 0.00926117 | − | 0.0315406i | ||||
\(287\) | −41.0289 | − | 2.93445i | −2.42186 | − | 0.173215i | ||||
\(288\) | 0.997452 | + | 0.0713392i | 0.0587754 | + | 0.00420370i | ||||
\(289\) | 2.18319 | − | 7.43527i | 0.128423 | − | 0.437369i | ||||
\(290\) | −3.06474 | + | 0.301848i | −0.179968 | + | 0.0177251i | ||||
\(291\) | 7.34259 | − | 11.4253i | 0.430430 | − | 0.669762i | ||||
\(292\) | −4.22914 | − | 2.30929i | −0.247492 | − | 0.135141i | ||||
\(293\) | 22.5626 | − | 16.8901i | 1.31812 | − | 0.986732i | 0.318878 | − | 0.947796i | \(-0.396694\pi\) |
0.999242 | − | 0.0389366i | \(-0.0123970\pi\) | |||||||
\(294\) | 15.3896 | − | 7.02820i | 0.897541 | − | 0.409893i | ||||
\(295\) | 0.927905 | − | 7.96150i | 0.0540247 | − | 0.463536i | ||||
\(296\) | 5.05309 | + | 7.86276i | 0.293705 | + | 0.457013i | ||||
\(297\) | 0.142171 | + | 1.98781i | 0.00824959 | + | 0.115344i | ||||
\(298\) | −8.37081 | − | 8.37081i | −0.484908 | − | 0.484908i | ||||
\(299\) | 1.20060 | − | 0.590153i | 0.0694325 | − | 0.0341294i | ||||
\(300\) | −1.32280 | − | 4.82185i | −0.0763719 | − | 0.278389i | ||||
\(301\) | 6.20818 | − | 7.16463i | 0.357834 | − | 0.412962i | ||||
\(302\) | −9.67722 | − | 2.10515i | −0.556862 | − | 0.121138i | ||||
\(303\) | −12.0902 | − | 9.05058i | −0.694561 | − | 0.519942i | ||||
\(304\) | 2.33522 | + | 5.11343i | 0.133934 | + | 0.293275i | ||||
\(305\) | 12.9993 | − | 30.6074i | 0.744335 | − | 1.75257i | ||||
\(306\) | −0.856895 | − | 2.91832i | −0.0489854 | − | 0.166829i | ||||
\(307\) | 4.28838 | + | 19.7134i | 0.244751 | + | 1.12510i | 0.921345 | + | 0.388745i | \(0.127091\pi\) |
−0.676594 | + | 0.736356i | \(0.736545\pi\) | |||||||
\(308\) | −3.40606 | − | 9.13200i | −0.194078 | − | 0.520344i | ||||
\(309\) | 5.87142 | + | 1.72401i | 0.334014 | + | 0.0980752i | ||||
\(310\) | −10.1315 | − | 3.47284i | −0.575430 | − | 0.197244i | ||||
\(311\) | −3.65443 | − | 4.21744i | −0.207224 | − | 0.239149i | 0.642618 | − | 0.766187i | \(-0.277848\pi\) |
−0.849842 | + | 0.527037i | \(0.823303\pi\) | |||||||
\(312\) | −0.133687 | − | 0.244830i | −0.00756855 | − | 0.0138608i | ||||
\(313\) | −16.0822 | + | 5.99833i | −0.909017 | + | 0.339046i | −0.760102 | − | 0.649804i | \(-0.774851\pi\) |
−0.148915 | + | 0.988850i | \(0.547578\pi\) | |||||||
\(314\) | −13.0727 | − | 8.40132i | −0.737735 | − | 0.474114i | ||||
\(315\) | 7.52302 | − | 7.93705i | 0.423874 | − | 0.447202i | ||||
\(316\) | −7.48217 | − | 1.07577i | −0.420905 | − | 0.0605170i | ||||
\(317\) | 10.1313 | − | 27.1630i | 0.569030 | − | 1.52563i | −0.259535 | − | 0.965734i | \(-0.583569\pi\) |
0.828565 | − | 0.559894i | \(-0.189158\pi\) | |||||||
\(318\) | −3.20290 | + | 4.27857i | −0.179610 | + | 0.239931i | ||||
\(319\) | −2.30895 | + | 1.48387i | −0.129277 | + | 0.0830810i | ||||
\(320\) | −1.84806 | + | 1.25883i | −0.103310 | + | 0.0703710i | ||||
\(321\) | − | 0.858119i | − | 0.0478955i | ||||||
\(322\) | 10.6502 | − | 20.8973i | 0.593514 | − | 1.16456i | ||||
\(323\) | 12.0899 | − | 12.0899i | 0.672699 | − | 0.672699i | ||||
\(324\) | 0.755750 | + | 0.654861i | 0.0419861 | + | 0.0363812i | ||||
\(325\) | −0.932043 | + | 1.03762i | −0.0517005 | + | 0.0575566i | ||||
\(326\) | −0.180389 | − | 1.25463i | −0.00999083 | − | 0.0694877i | ||||
\(327\) | −4.28913 | − | 1.59976i | −0.237190 | − | 0.0884671i | ||||
\(328\) | 5.04033 | + | 6.73310i | 0.278306 | + | 0.371773i | ||||
\(329\) | 10.0491 | − | 2.95068i | 0.554024 | − | 0.162676i | ||||
\(330\) | −3.00732 | − | 3.28846i | −0.165548 | − | 0.181024i | ||||
\(331\) | 12.7284 | − | 27.8713i | 0.699617 | − | 1.53195i | −0.140818 | − | 0.990035i | \(-0.544973\pi\) |
0.840435 | − | 0.541912i | \(-0.182299\pi\) | |||||||
\(332\) | 3.86952 | − | 2.11292i | 0.212367 | − | 0.115961i | ||||
\(333\) | −0.666770 | + | 9.32266i | −0.0365388 | + | 0.510879i | ||||
\(334\) | 8.81785 | − | 7.64071i | 0.482491 | − | 0.418081i | ||||
\(335\) | 7.78865 | + | 31.6935i | 0.425539 | + | 1.73160i | ||||
\(336\) | −4.44870 | − | 2.03165i | −0.242696 | − | 0.110836i | ||||
\(337\) | −1.36578 | + | 0.297107i | −0.0743986 | + | 0.0161844i | −0.249611 | − | 0.968346i | \(-0.580303\pi\) |
0.175212 | + | 0.984531i | \(0.443939\pi\) | |||||||
\(338\) | 6.19294 | − | 11.3415i | 0.336852 | − | 0.616898i | ||||
\(339\) | 0.647960 | − | 4.50666i | 0.0351924 | − | 0.244768i | ||||
\(340\) | 5.55167 | + | 3.92850i | 0.301082 | + | 0.213053i | ||||
\(341\) | −9.44824 | + | 1.35845i | −0.511651 | + | 0.0735643i | ||||
\(342\) | −1.19492 | + | 5.49296i | −0.0646139 | + | 0.297025i | ||||
\(343\) | −48.3844 | + | 3.46052i | −2.61251 | + | 0.186851i | ||||
\(344\) | −1.93842 | −0.104513 | ||||||||
\(345\) | 0.937791 | − | 10.6827i | 0.0504890 | − | 0.575138i | ||||
\(346\) | −8.11292 | −0.436153 | ||||||||
\(347\) | −9.19452 | + | 0.657605i | −0.493588 | + | 0.0353021i | −0.315915 | − | 0.948788i | \(-0.602311\pi\) |
−0.177673 | + | 0.984090i | \(0.556857\pi\) | |||||||
\(348\) | −0.292751 | + | 1.34575i | −0.0156931 | + | 0.0721399i | ||||
\(349\) | −32.8330 | + | 4.72067i | −1.75751 | + | 0.252692i | −0.944254 | − | 0.329217i | \(-0.893215\pi\) |
−0.813254 | + | 0.581909i | \(0.802306\pi\) | |||||||
\(350\) | −2.17960 | + | 24.3559i | −0.116504 | + | 1.30188i | ||||
\(351\) | 0.0396990 | − | 0.276112i | 0.00211897 | − | 0.0147378i | ||||
\(352\) | −0.955089 | + | 1.74912i | −0.0509064 | + | 0.0932281i | ||||
\(353\) | −1.72616 | + | 0.375503i | −0.0918741 | + | 0.0199860i | −0.258267 | − | 0.966073i | \(-0.583152\pi\) |
0.166393 | + | 0.986059i | \(0.446788\pi\) | |||||||
\(354\) | −3.26066 | − | 1.48909i | −0.173302 | − | 0.0791444i | ||||
\(355\) | 5.08954 | − | 8.40606i | 0.270124 | − | 0.446147i | ||||
\(356\) | −1.53582 | + | 1.33079i | −0.0813981 | + | 0.0705318i | ||||
\(357\) | −1.06117 | + | 14.8371i | −0.0561632 | + | 0.785264i | ||||
\(358\) | −13.5472 | + | 7.39734i | −0.715992 | + | 0.390961i | ||||
\(359\) | −14.9637 | + | 32.7660i | −0.789755 | + | 1.72932i | −0.112403 | + | 0.993663i | \(0.535855\pi\) |
−0.677352 | + | 0.735659i | \(0.736872\pi\) | |||||||
\(360\) | −2.23384 | − | 0.0997532i | −0.117734 | − | 0.00525746i | ||||
\(361\) | −12.0900 | + | 3.54995i | −0.636317 | + | 0.186839i | ||||
\(362\) | 5.06643 | + | 6.76796i | 0.266286 | + | 0.355716i | ||||
\(363\) | 6.58526 | + | 2.45617i | 0.345636 | + | 0.128916i | ||||
\(364\) | 0.194154 | + | 1.35037i | 0.0101764 | + | 0.0707786i | ||||
\(365\) | 9.59150 | + | 4.90871i | 0.502042 | + | 0.256934i | ||||
\(366\) | −11.2390 | − | 9.73869i | −0.587474 | − | 0.509049i | ||||
\(367\) | −6.79128 | + | 6.79128i | −0.354502 | + | 0.354502i | −0.861781 | − | 0.507280i | \(-0.830651\pi\) |
0.507280 | + | 0.861781i | \(0.330651\pi\) | |||||||
\(368\) | −4.65532 | + | 1.15239i | −0.242675 | + | 0.0600723i | ||||
\(369\) | 8.41068i | 0.437843i | ||||||||
\(370\) | −11.7657 | − | 17.2729i | −0.611668 | − | 0.897974i | ||||
\(371\) | 21.9892 | − | 14.1316i | 1.14162 | − | 0.733676i | ||||
\(372\) | −2.87038 | + | 3.83438i | −0.148822 | + | 0.198803i | ||||
\(373\) | −8.63094 | + | 23.1405i | −0.446893 | + | 1.19817i | 0.496952 | + | 0.867778i | \(0.334453\pi\) |
−0.943845 | + | 0.330389i | \(0.892820\pi\) | |||||||
\(374\) | 5.99971 | + | 0.862627i | 0.310237 | + | 0.0446054i | ||||
\(375\) | 3.24545 | + | 10.6989i | 0.167594 | + | 0.552490i | ||||
\(376\) | −1.80154 | − | 1.15778i | −0.0929076 | − | 0.0597081i | ||||
\(377\) | 0.359957 | − | 0.134257i | 0.0185387 | − | 0.00691459i | ||||
\(378\) | −2.34384 | − | 4.29243i | −0.120554 | − | 0.220779i | ||||
\(379\) | 9.71585 | + | 11.2127i | 0.499069 | + | 0.575957i | 0.948266 | − | 0.317476i | \(-0.102835\pi\) |
−0.449197 | + | 0.893433i | \(0.648290\pi\) | |||||||
\(380\) | −5.52595 | − | 11.2901i | −0.283475 | − | 0.579169i | ||||
\(381\) | −13.6803 | − | 4.01689i | −0.700861 | − | 0.205791i | ||||
\(382\) | 5.88572 | + | 15.7802i | 0.301140 | + | 0.807387i | ||||
\(383\) | 0.636313 | + | 2.92508i | 0.0325141 | + | 0.149465i | 0.990542 | − | 0.137210i | \(-0.0438136\pi\) |
−0.958028 | + | 0.286675i | \(0.907450\pi\) | |||||||
\(384\) | 0.281733 | + | 0.959493i | 0.0143771 | + | 0.0489639i | ||||
\(385\) | 8.16011 | + | 20.2086i | 0.415878 | + | 1.02992i | ||||
\(386\) | −8.05583 | − | 17.6398i | −0.410031 | − | 0.897843i | ||||
\(387\) | −1.55179 | − | 1.16165i | −0.0788818 | − | 0.0590502i | ||||
\(388\) | 13.2709 | + | 2.88691i | 0.673728 | + | 0.146560i | ||||
\(389\) | −15.7625 | + | 18.1909i | −0.799189 | + | 0.922313i | −0.998336 | − | 0.0576563i | \(-0.981637\pi\) |
0.199148 | + | 0.979970i | \(0.436183\pi\) | |||||||
\(390\) | 0.313483 | + | 0.539258i | 0.0158738 | + | 0.0273064i | ||||
\(391\) | 8.23216 | + | 12.0416i | 0.416318 | + | 0.608971i | ||||
\(392\) | 11.9632 | + | 11.9632i | 0.604232 | + | 0.604232i | ||||
\(393\) | −1.16881 | − | 16.3421i | −0.0589585 | − | 0.824348i | ||||
\(394\) | 7.83338 | + | 12.1890i | 0.394640 | + | 0.614072i | ||||
\(395\) | 16.7890 | + | 1.95675i | 0.844748 | + | 0.0984546i | ||||
\(396\) | −1.81279 | + | 0.827875i | −0.0910963 | + | 0.0416023i | ||||
\(397\) | 26.6173 | − | 19.9254i | 1.33588 | − | 1.00003i | 0.337609 | − | 0.941286i | \(-0.390382\pi\) |
0.998273 | − | 0.0587424i | \(-0.0187091\pi\) | |||||||
\(398\) | −16.6459 | − | 9.08934i | −0.834383 | − | 0.455608i | ||||
\(399\) | 14.8635 | − | 23.1281i | 0.744108 | − | 1.15785i | ||||
\(400\) | 4.05556 | − | 2.92446i | 0.202778 | − | 0.146223i | ||||
\(401\) | −8.24920 | + | 28.0942i | −0.411945 | + | 1.40296i | 0.448668 | + | 0.893699i | \(0.351899\pi\) |
−0.860613 | + | 0.509259i | \(0.829920\pi\) | |||||||
\(402\) | 14.5583 | + | 1.04123i | 0.726103 | + | 0.0519319i | ||||
\(403\) | 1.33270 | + | 0.0953166i | 0.0663865 | + | 0.00474806i | ||||
\(404\) | 4.25486 | − | 14.4907i | 0.211687 | − | 0.720940i | ||||
\(405\) | −1.72850 | − | 1.41855i | −0.0858900 | − | 0.0704882i | ||||
\(406\) | 3.64151 | − | 5.66630i | 0.180725 | − | 0.281214i | ||||
\(407\) | −16.3481 | − | 8.92672i | −0.810343 | − | 0.442481i | ||||
\(408\) | 2.43486 | − | 1.82271i | 0.120544 | − | 0.0902378i | ||||
\(409\) | 23.9524 | − | 10.9387i | 1.18437 | − | 0.540884i | 0.276859 | − | 0.960911i | \(-0.410707\pi\) |
0.907512 | + | 0.420027i | \(0.137979\pi\) | |||||||
\(410\) | −11.6695 | − | 14.7485i | −0.576318 | − | 0.728379i | ||||
\(411\) | −2.54724 | − | 3.96358i | −0.125646 | − | 0.195509i | ||||
\(412\) | 0.436546 | + | 6.10371i | 0.0215071 | + | 0.300708i | ||||
\(413\) | 12.3963 | + | 12.3963i | 0.609981 | + | 0.609981i | ||||
\(414\) | −4.41738 | − | 1.86730i | −0.217102 | − | 0.0917726i | ||||
\(415\) | −8.52292 | + | 4.95457i | −0.418374 | + | 0.243210i | ||||
\(416\) | 0.182674 | − | 0.210818i | 0.00895635 | − | 0.0103362i | ||||
\(417\) | 1.16319 | + | 0.253036i | 0.0569615 | + | 0.0123912i | ||||
\(418\) | −8.96836 | − | 6.71363i | −0.438657 | − | 0.328374i | ||||
\(419\) | −5.20648 | − | 11.4006i | −0.254353 | − | 0.556956i | 0.738780 | − | 0.673947i | \(-0.235402\pi\) |
−0.993133 | + | 0.116991i | \(0.962675\pi\) | |||||||
\(420\) | 10.0656 | + | 4.27498i | 0.491153 | + | 0.208598i | ||||
\(421\) | 4.66714 | + | 15.8948i | 0.227462 | + | 0.774666i | 0.991569 | + | 0.129576i | \(0.0413618\pi\) |
−0.764107 | + | 0.645090i | \(0.776820\pi\) | |||||||
\(422\) | −3.11387 | − | 14.3142i | −0.151581 | − | 0.696806i | ||||
\(423\) | −0.748377 | − | 2.00648i | −0.0363874 | − | 0.0975583i | ||||
\(424\) | −5.12811 | − | 1.50575i | −0.249043 | − | 0.0731256i | ||||
\(425\) | −12.6446 | − | 8.44891i | −0.613355 | − | 0.409832i | ||||
\(426\) | −2.87789 | − | 3.32126i | −0.139434 | − | 0.160916i | ||||
\(427\) | 34.8562 | + | 63.8343i | 1.68681 | + | 3.08916i | ||||
\(428\) | 0.804014 | − | 0.299882i | 0.0388635 | − | 0.0144953i | ||||
\(429\) | 0.467669 | + | 0.300553i | 0.0225793 | + | 0.0145108i | ||||
\(430\) | 4.33289 | − | 0.116037i | 0.208951 | − | 0.00559579i | ||||
\(431\) | −19.7481 | − | 2.83935i | −0.951233 | − | 0.136767i | −0.350808 | − | 0.936448i | \(-0.614093\pi\) |
−0.600425 | + | 0.799681i | \(0.705002\pi\) | |||||||
\(432\) | −0.349464 | + | 0.936950i | −0.0168136 | + | 0.0450790i | ||||
\(433\) | −22.4975 | + | 30.0531i | −1.08116 | + | 1.44426i | −0.195043 | + | 0.980795i | \(0.562485\pi\) |
−0.886116 | + | 0.463464i | \(0.846606\pi\) | |||||||
\(434\) | 19.7063 | − | 12.6645i | 0.945933 | − | 0.607915i | ||||
\(435\) | 0.573817 | − | 3.02564i | 0.0275124 | − | 0.145068i | ||||
\(436\) | − | 4.57776i | − | 0.219235i | ||||||
\(437\) | −2.68781 | − | 26.8251i | −0.128575 | − | 1.28322i | ||||
\(438\) | 3.40723 | − | 3.40723i | 0.162804 | − | 0.162804i | ||||
\(439\) | 22.8921 | + | 19.8361i | 1.09258 | + | 0.946726i | 0.998805 | − | 0.0488675i | \(-0.0155612\pi\) |
0.0937747 | + | 0.995593i | \(0.470107\pi\) | |||||||
\(440\) | 2.03017 | − | 3.96691i | 0.0967848 | − | 0.189115i | ||||
\(441\) | 2.40775 | + | 16.7463i | 0.114655 | + | 0.797443i | ||||
\(442\) | −0.794942 | − | 0.296498i | −0.0378116 | − | 0.0141030i | ||||
\(443\) | 4.08473 | + | 5.45656i | 0.194071 | + | 0.259249i | 0.887013 | − | 0.461745i | \(-0.152776\pi\) |
−0.692941 | + | 0.720994i | \(0.743686\pi\) | |||||||
\(444\) | −8.96788 | + | 2.63321i | −0.425597 | + | 0.124966i | ||||
\(445\) | 3.35330 | − | 3.06661i | 0.158961 | − | 0.145371i | ||||
\(446\) | −3.44610 | + | 7.54592i | −0.163178 | + | 0.357309i | ||||
\(447\) | 10.3901 | − | 5.67340i | 0.491433 | − | 0.268343i | ||||
\(448\) | 0.348895 | − | 4.87819i | 0.0164838 | − | 0.230473i | ||||
\(449\) | 10.2132 | − | 8.84983i | 0.481993 | − | 0.417649i | −0.379677 | − | 0.925119i | \(-0.623965\pi\) |
0.861669 | + | 0.507470i | \(0.169419\pi\) | |||||||
\(450\) | 4.99920 | + | 0.0892541i | 0.235665 | + | 0.00420748i | ||||
\(451\) | −15.2468 | − | 6.96300i | −0.717945 | − | 0.327875i | ||||
\(452\) | 4.44896 | − | 0.967811i | 0.209261 | − | 0.0455220i | ||||
\(453\) | 4.74627 | − | 8.69214i | 0.222999 | − | 0.408392i | ||||
\(454\) | 1.66264 | − | 11.5639i | 0.0780315 | − | 0.542721i | ||||
\(455\) | −0.514821 | − | 3.00681i | −0.0241352 | − | 0.140962i | ||||
\(456\) | −5.56421 | + | 0.800012i | −0.260568 | + | 0.0374640i | ||||
\(457\) | 1.41200 | − | 6.49086i | 0.0660506 | − | 0.303630i | −0.932256 | − | 0.361799i | \(-0.882163\pi\) |
0.998307 | + | 0.0581693i | \(0.0185263\pi\) | |||||||
\(458\) | −15.2043 | + | 1.08743i | −0.710452 | + | 0.0508125i | ||||
\(459\) | 3.04152 | 0.141966 | ||||||||
\(460\) | 10.3369 | − | 2.85457i | 0.481960 | − | 0.133095i | ||||
\(461\) | 38.0333 | 1.77139 | 0.885693 | − | 0.464271i | \(-0.153683\pi\) | ||||
0.885693 | + | 0.464271i | \(0.153683\pi\) | |||||||
\(462\) | 9.72169 | − | 0.695309i | 0.452294 | − | 0.0323487i | ||||
\(463\) | 3.84298 | − | 17.6659i | 0.178598 | − | 0.821003i | −0.797439 | − | 0.603400i | \(-0.793812\pi\) |
0.976037 | − | 0.217603i | \(-0.0698239\pi\) | |||||||
\(464\) | −1.36321 | + | 0.196000i | −0.0632854 | + | 0.00909907i | ||||
\(465\) | 6.18654 | − | 8.74269i | 0.286894 | − | 0.405432i | ||||
\(466\) | −1.99163 | + | 13.8521i | −0.0922605 | + | 0.641686i | ||||
\(467\) | −2.09423 | + | 3.83530i | −0.0969095 | + | 0.177476i | −0.921636 | − | 0.388055i | \(-0.873147\pi\) |
0.824727 | + | 0.565531i | \(0.191329\pi\) | |||||||
\(468\) | 0.272577 | − | 0.0592954i | 0.0125999 | − | 0.00274093i | ||||
\(469\) | −64.9310 | − | 29.6530i | −2.99823 | − | 1.36925i | ||||
\(470\) | 4.09624 | + | 2.48011i | 0.188945 | + | 0.114399i | ||||
\(471\) | 11.7440 | − | 10.1762i | 0.541135 | − | 0.468897i | ||||
\(472\) | 0.255722 | − | 3.57546i | 0.0117705 | − | 0.164574i | ||||
\(473\) | 3.39052 | − | 1.85137i | 0.155896 | − | 0.0851259i | ||||
\(474\) | 3.14017 | − | 6.87600i | 0.144233 | − | 0.315825i | ||||
\(475\) | 13.0278 | + | 24.9056i | 0.597757 | + | 1.14275i | ||||
\(476\) | −14.2725 | + | 4.19078i | −0.654178 | + | 0.192084i | ||||
\(477\) | −3.20290 | − | 4.27857i | −0.146651 | − | 0.195902i | ||||
\(478\) | 1.50165 | + | 0.560087i | 0.0686839 | + | 0.0256178i | ||||
\(479\) | −5.15566 | − | 35.8584i | −0.235568 | − | 1.63841i | −0.673344 | − | 0.739329i | \(-0.735143\pi\) |
0.437776 | − | 0.899084i | \(-0.355766\pi\) | |||||||
\(480\) | −0.687184 | − | 2.12786i | −0.0313655 | − | 0.0971230i | ||||
\(481\) | 1.97040 | + | 1.70736i | 0.0898426 | + | 0.0778490i | ||||
\(482\) | −17.4507 | + | 17.4507i | −0.794858 | + | 0.794858i | ||||
\(483\) | 17.0503 | + | 16.1063i | 0.775816 | + | 0.732861i | ||||
\(484\) | 7.02840i | 0.319473i | ||||||||
\(485\) | −29.8368 | − | 5.65859i | −1.35482 | − | 0.256943i | ||||
\(486\) | −0.841254 | + | 0.540641i | −0.0381600 | + | 0.0245240i | ||||
\(487\) | 0.360651 | − | 0.481773i | 0.0163427 | − | 0.0218312i | −0.792295 | − | 0.610138i | \(-0.791114\pi\) |
0.808638 | + | 0.588306i | \(0.200205\pi\) | |||||||
\(488\) | 5.19702 | − | 13.9337i | 0.235258 | − | 0.630751i | ||||
\(489\) | 1.25463 | + | 0.180389i | 0.0567365 | + | 0.00815748i | ||||
\(490\) | −27.4571 | − | 26.0248i | −1.24038 | − | 1.17568i | ||||
\(491\) | 7.29833 | + | 4.69035i | 0.329369 | + | 0.211673i | 0.694865 | − | 0.719140i | \(-0.255464\pi\) |
−0.365496 | + | 0.930813i | \(0.619101\pi\) | |||||||
\(492\) | −7.88039 | + | 2.93923i | −0.355275 | + | 0.132511i | ||||
\(493\) | 2.00751 | + | 3.67648i | 0.0904136 | + | 0.165580i | ||||
\(494\) | 1.02689 | + | 1.18510i | 0.0462020 | + | 0.0533200i | ||||
\(495\) | 4.00252 | − | 1.95904i | 0.179900 | − | 0.0880522i | ||||
\(496\) | −4.59572 | − | 1.34942i | −0.206354 | − | 0.0605909i | ||||
\(497\) | 7.51095 | + | 20.1376i | 0.336912 | + | 0.903297i | ||||
\(498\) | 0.937159 | + | 4.30805i | 0.0419951 | + | 0.193048i | ||||
\(499\) | −6.88494 | − | 23.4479i | −0.308212 | − | 1.04967i | −0.957333 | − | 0.288989i | \(-0.906681\pi\) |
0.649120 | − | 0.760686i | \(-0.275137\pi\) | |||||||
\(500\) | −8.89019 | + | 6.77972i | −0.397581 | + | 0.303198i | ||||
\(501\) | 4.84693 | + | 10.6133i | 0.216545 | + | 0.474167i | ||||
\(502\) | −21.0550 | − | 15.7616i | −0.939730 | − | 0.703473i | ||||
\(503\) | −32.2912 | − | 7.02451i | −1.43979 | − | 0.313208i | −0.576163 | − | 0.817335i | \(-0.695451\pi\) |
−0.863629 | + | 0.504127i | \(0.831814\pi\) | |||||||
\(504\) | 3.20270 | − | 3.69611i | 0.142660 | − | 0.164638i | ||||
\(505\) | −8.64331 | + | 32.6453i | −0.384622 | + | 1.45270i | ||||
\(506\) | 7.04206 | − | 6.46190i | 0.313058 | − | 0.287267i | ||||
\(507\) | 9.13737 | + | 9.13737i | 0.405805 | + | 0.405805i | ||||
\(508\) | −1.01714 | − | 14.2215i | −0.0451283 | − | 0.630976i | ||||
\(509\) | 12.1415 | + | 18.8925i | 0.538162 | + | 0.837396i | 0.998738 | − | 0.0502239i | \(-0.0159935\pi\) |
−0.460576 | + | 0.887620i | \(0.652357\pi\) | |||||||
\(510\) | −5.33345 | + | 4.22001i | −0.236169 | + | 0.186865i | ||||
\(511\) | −21.4363 | + | 9.78962i | −0.948285 | + | 0.433067i | ||||
\(512\) | −0.800541 | + | 0.599278i | −0.0353793 | + | 0.0264846i | ||||
\(513\) | −4.93381 | − | 2.69406i | −0.217833 | − | 0.118946i | ||||
\(514\) | −9.93430 | + | 15.4581i | −0.438183 | + | 0.681826i | ||||
\(515\) | −1.34117 | − | 13.6173i | −0.0590991 | − | 0.600049i | ||||
\(516\) | 0.546117 | − | 1.85990i | 0.0240415 | − | 0.0818777i | ||||
\(517\) | 4.25689 | + | 0.304459i | 0.187218 | + | 0.0133901i | ||||
\(518\) | 45.5939 | + | 3.26094i | 2.00328 | + | 0.143278i | ||||
\(519\) | 2.28567 | − | 7.78429i | 0.100330 | − | 0.341692i | ||||
\(520\) | −0.395706 | + | 0.482169i | −0.0173529 | + | 0.0211445i | ||||
\(521\) | −12.8390 | + | 19.9778i | −0.562486 | + | 0.875245i | −0.999709 | − | 0.0241077i | \(-0.992326\pi\) |
0.437223 | + | 0.899353i | \(0.355962\pi\) | |||||||
\(522\) | −1.20876 | − | 0.660035i | −0.0529061 | − | 0.0288889i | ||||
\(523\) | −0.545904 | + | 0.408658i | −0.0238707 | + | 0.0178694i | −0.611146 | − | 0.791518i | \(-0.709291\pi\) |
0.587276 | + | 0.809387i | \(0.300200\pi\) | |||||||
\(524\) | 14.9032 | − | 6.80608i | 0.651051 | − | 0.297325i | ||||
\(525\) | −22.7553 | − | 8.95317i | −0.993122 | − | 0.390748i | ||||
\(526\) | 14.4761 | + | 22.5253i | 0.631188 | + | 0.982148i | ||||
\(527\) | 1.03927 | + | 14.5309i | 0.0452715 | + | 0.632978i | ||||
\(528\) | −1.40918 | − | 1.40918i | −0.0613269 | − | 0.0613269i | ||||
\(529\) | 22.9153 | + | 1.97261i | 0.996315 | + | 0.0857655i | ||||
\(530\) | 11.5528 | + | 3.05877i | 0.501823 | + | 0.132865i | ||||
\(531\) | 2.34741 | − | 2.70905i | 0.101869 | − | 0.117563i | ||||
\(532\) | 26.8642 | + | 5.84394i | 1.16471 | + | 0.253367i | ||||
\(533\) | 1.87821 | + | 1.40601i | 0.0813543 | + | 0.0609010i | ||||
\(534\) | −0.844196 | − | 1.84853i | −0.0365320 | − | 0.0799938i | ||||
\(535\) | −1.77923 | + | 0.718445i | −0.0769230 | + | 0.0310611i | ||||
\(536\) | 4.11203 | + | 14.0043i | 0.177613 | + | 0.604893i | ||||
\(537\) | −3.28100 | − | 15.0825i | −0.141586 | − | 0.650859i | ||||
\(538\) | 5.79304 | + | 15.5318i | 0.249756 | + | 0.669621i | ||||
\(539\) | −32.3509 | − | 9.49909i | −1.39345 | − | 0.409155i | ||||
\(540\) | 0.725058 | − | 2.11525i | 0.0312015 | − | 0.0910259i | ||||
\(541\) | −23.5002 | − | 27.1207i | −1.01035 | − | 1.16601i | −0.986075 | − | 0.166304i | \(-0.946817\pi\) |
−0.0242779 | − | 0.999705i | \(-0.507729\pi\) | |||||||
\(542\) | 4.88529 | + | 8.94674i | 0.209841 | + | 0.384295i | ||||
\(543\) | −7.92119 | + | 2.95445i | −0.339931 | + | 0.126788i | ||||
\(544\) | 2.55869 | + | 1.64437i | 0.109703 | + | 0.0705017i | ||||
\(545\) | 0.274031 | + | 10.2325i | 0.0117382 | + | 0.438313i | ||||
\(546\) | −1.35037 | − | 0.194154i | −0.0577905 | − | 0.00830902i | ||||
\(547\) | 6.01310 | − | 16.1218i | 0.257102 | − | 0.689316i | −0.742704 | − | 0.669620i | \(-0.766457\pi\) |
0.999806 | − | 0.0196969i | \(-0.00627011\pi\) | |||||||
\(548\) | 2.82351 | − | 3.77177i | 0.120614 | − | 0.161122i | ||||
\(549\) | 12.5106 | − | 8.04008i | 0.533940 | − | 0.343142i | ||||
\(550\) | −4.30052 | + | 8.98863i | −0.183375 | + | 0.383277i | ||||
\(551\) | − | 7.74198i | − | 0.329819i | ||||||
\(552\) | 0.205848 | − | 4.79141i | 0.00876148 | − | 0.203936i | ||||
\(553\) | −26.1410 | + | 26.1410i | −1.11163 | + | 1.11163i | ||||
\(554\) | 11.9098 | + | 10.3199i | 0.505997 | + | 0.438449i | ||||
\(555\) | 19.8880 | − | 6.42275i | 0.844197 | − | 0.272631i | ||||
\(556\) | 0.169410 | + | 1.17827i | 0.00718459 | + | 0.0499699i | ||||
\(557\) | 28.4323 | + | 10.6047i | 1.20471 | + | 0.449335i | 0.870031 | − | 0.492996i | \(-0.164098\pi\) |
0.334682 | + | 0.942331i | \(0.391371\pi\) | |||||||
\(558\) | −2.87038 | − | 3.83438i | −0.121513 | − | 0.162322i | ||||
\(559\) | −0.518823 | + | 0.152340i | −0.0219439 | + | 0.00644330i | ||||
\(560\) | −0.487859 | + | 10.9250i | −0.0206158 | + | 0.461663i | ||||
\(561\) | −2.51800 | + | 5.51365i | −0.106310 | + | 0.232786i | ||||
\(562\) | −15.3937 | + | 8.40561i | −0.649345 | + | 0.354569i | ||||
\(563\) | −1.90899 | + | 26.6912i | −0.0804544 | + | 1.12490i | 0.783521 | + | 0.621365i | \(0.213422\pi\) |
−0.863975 | + | 0.503534i | \(0.832033\pi\) | |||||||
\(564\) | 1.61844 | − | 1.40238i | 0.0681485 | − | 0.0590510i | ||||
\(565\) | −9.88667 | + | 2.42964i | −0.415935 | + | 0.102216i | ||||
\(566\) | 25.0612 | + | 11.4451i | 1.05340 | + | 0.481071i | ||||
\(567\) | 4.77889 | − | 1.03958i | 0.200694 | − | 0.0436584i | ||||
\(568\) | 2.10614 | − | 3.85710i | 0.0883715 | − | 0.161840i | ||||
\(569\) | 4.97655 | − | 34.6126i | 0.208628 | − | 1.45104i | −0.569013 | − | 0.822329i | \(-0.692675\pi\) |
0.777641 | − | 0.628709i | \(-0.216416\pi\) | |||||||
\(570\) | 12.3896 | − | 2.12132i | 0.518943 | − | 0.0888524i | ||||
\(571\) | 11.5736 | − | 1.66403i | 0.484339 | − | 0.0696375i | 0.104180 | − | 0.994558i | \(-0.466778\pi\) |
0.380159 | + | 0.924921i | \(0.375869\pi\) | |||||||
\(572\) | −0.118169 | + | 0.543215i | −0.00494090 | + | 0.0227129i | ||||
\(573\) | −16.7992 | + | 1.20150i | −0.701797 | + | 0.0501935i | ||||
\(574\) | 41.1337 | 1.71689 | ||||||||
\(575\) | −22.9348 | + | 6.99950i | −0.956449 | + | 0.291899i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | 1.06238 | − | 0.0759827i | 0.0442273 | − | 0.00316320i | −0.0492080 | − | 0.998789i | \(-0.515670\pi\) |
0.0934353 | + | 0.995625i | \(0.470215\pi\) | |||||||
\(578\) | −1.64720 | + | 7.57207i | −0.0685147 | + | 0.314957i | ||||
\(579\) | 19.1949 | − | 2.75980i | 0.797711 | − | 0.114694i | ||||
\(580\) | 3.03540 | − | 0.519716i | 0.126038 | − | 0.0215800i | ||||
\(581\) | 3.06859 | − | 21.3425i | 0.127306 | − | 0.885435i | ||||
\(582\) | −6.50881 | + | 11.9200i | −0.269799 | + | 0.494100i | ||||
\(583\) | 10.4078 | − | 2.26407i | 0.431046 | − | 0.0937683i | ||||
\(584\) | 4.38311 | + | 2.00170i | 0.181374 | + | 0.0828309i | ||||
\(585\) | −0.605732 | + | 0.148858i | −0.0250439 | + | 0.00615452i | ||||
\(586\) | −21.3002 | + | 18.4567i | −0.879902 | + | 0.762439i | ||||
\(587\) | −1.10485 | + | 15.4478i | −0.0456018 | + | 0.637597i | 0.922333 | + | 0.386396i | \(0.126280\pi\) |
−0.967935 | + | 0.251201i | \(0.919174\pi\) | |||||||
\(588\) | −14.8490 | + | 8.10818i | −0.612363 | + | 0.334376i | ||||
\(589\) | 11.1851 | − | 24.4920i | 0.460874 | − | 1.00917i | ||||
\(590\) | −0.357574 | + | 8.00741i | −0.0147211 | + | 0.329660i | ||||
\(591\) | −13.9022 | + | 4.08204i | −0.571858 | + | 0.167913i | ||||
\(592\) | −5.60114 | − | 7.48224i | −0.230205 | − | 0.307518i | ||||
\(593\) | 30.3012 | + | 11.3018i | 1.24432 | + | 0.464107i | 0.883457 | − | 0.468512i | \(-0.155210\pi\) |
0.360862 | + | 0.932619i | \(0.382482\pi\) | |||||||
\(594\) | −0.283617 | − | 1.97260i | −0.0116370 | − | 0.0809369i | ||||
\(595\) | 31.6519 | − | 10.2219i | 1.29760 | − | 0.419056i | ||||
\(596\) | 8.94665 | + | 7.75232i | 0.366469 | + | 0.317547i | ||||
\(597\) | 13.4109 | − | 13.4109i | 0.548870 | − | 0.548870i | ||||
\(598\) | −1.15544 | + | 0.674299i | −0.0472495 | + | 0.0275741i | ||||
\(599\) | 13.4493i | 0.549523i | 0.961512 | + | 0.274761i | \(0.0885988\pi\) | ||||
−0.961512 | + | 0.274761i | \(0.911401\pi\) | |||||||
\(600\) | 1.66342 | + | 4.71519i | 0.0679087 | + | 0.192497i | ||||
\(601\) | 6.59225 | − | 4.23658i | 0.268904 | − | 0.172814i | −0.399239 | − | 0.916847i | \(-0.630726\pi\) |
0.668143 | + | 0.744033i | \(0.267089\pi\) | |||||||
\(602\) | −5.68125 | + | 7.58926i | −0.231550 | + | 0.309315i | ||||
\(603\) | −5.10061 | + | 13.6753i | −0.207713 | + | 0.556899i | ||||
\(604\) | 9.80275 | + | 1.40942i | 0.398868 | + | 0.0573486i | ||||
\(605\) | −0.420730 | − | 15.7104i | −0.0171051 | − | 0.638717i | ||||
\(606\) | 12.7050 | + | 8.16501i | 0.516106 | + | 0.331681i | ||||
\(607\) | −14.4685 | + | 5.39649i | −0.587260 | + | 0.219037i | −0.625490 | − | 0.780232i | \(-0.715101\pi\) |
0.0382297 | + | 0.999269i | \(0.487828\pi\) | |||||||
\(608\) | −2.69406 | − | 4.93381i | −0.109259 | − | 0.200092i | ||||
\(609\) | 4.41084 | + | 5.09038i | 0.178736 | + | 0.206273i | ||||
\(610\) | −10.7826 | + | 31.4567i | −0.436576 | + | 1.27365i | ||||
\(611\) | −0.573177 | − | 0.168300i | −0.0231883 | − | 0.00680869i | ||||
\(612\) | 1.06290 | + | 2.84975i | 0.0429653 | + | 0.115194i | ||||
\(613\) | −4.31434 | − | 19.8327i | −0.174255 | − | 0.801036i | −0.978419 | − | 0.206629i | \(-0.933751\pi\) |
0.804165 | − | 0.594407i | \(-0.202613\pi\) | |||||||
\(614\) | −5.68379 | − | 19.3572i | −0.229379 | − | 0.781193i | ||||
\(615\) | 17.4388 | − | 7.04170i | 0.703201 | − | 0.283949i | ||||
\(616\) | 4.04885 | + | 8.86575i | 0.163133 | + | 0.357211i | ||||
\(617\) | −9.44357 | − | 7.06937i | −0.380184 | − | 0.284602i | 0.392046 | − | 0.919946i | \(-0.371768\pi\) |
−0.772230 | + | 0.635344i | \(0.780858\pi\) | |||||||
\(618\) | −5.97945 | − | 1.30075i | −0.240529 | − | 0.0523239i | ||||
\(619\) | −0.388252 | + | 0.448067i | −0.0156052 | + | 0.0180093i | −0.763499 | − | 0.645810i | \(-0.776520\pi\) |
0.747893 | + | 0.663819i | \(0.231065\pi\) | |||||||
\(620\) | 10.3534 | + | 2.74122i | 0.415804 | + | 0.110090i | ||||
\(621\) | 3.03618 | − | 3.71236i | 0.121838 | − | 0.148972i | ||||
\(622\) | 3.94599 | + | 3.94599i | 0.158220 | + | 0.158220i | ||||
\(623\) | 0.709017 | + | 9.91335i | 0.0284062 | + | 0.397170i | ||||
\(624\) | 0.150813 | + | 0.234669i | 0.00603734 | + | 0.00939428i | ||||
\(625\) | 19.4661 | − | 15.6867i | 0.778644 | − | 0.627466i | ||||
\(626\) | 15.6133 | − | 7.13034i | 0.624031 | − | 0.284986i | ||||
\(627\) | 8.96836 | − | 6.71363i | 0.358162 | − | 0.268116i | ||||
\(628\) | 13.6387 | + | 7.44732i | 0.544245 | + | 0.297180i | ||||
\(629\) | −15.3691 | + | 23.9147i | −0.612804 | + | 0.953542i | ||||
\(630\) | −6.93763 | + | 8.45351i | −0.276402 | + | 0.336796i | ||||
\(631\) | 2.69895 | − | 9.19177i | 0.107443 | − | 0.365919i | −0.888166 | − | 0.459522i | \(-0.848021\pi\) |
0.995610 | + | 0.0936040i | \(0.0298387\pi\) | |||||||
\(632\) | 7.53985 | + | 0.539260i | 0.299919 | + | 0.0214506i | ||||
\(633\) | 14.6117 | + | 1.04505i | 0.580763 | + | 0.0415370i | ||||
\(634\) | −8.16768 | + | 27.8166i | −0.324380 | + | 1.10474i | ||||
\(635\) | 3.12490 | + | 31.7279i | 0.124008 | + | 1.25908i | ||||
\(636\) | 2.88951 | − | 4.49617i | 0.114577 | − | 0.178285i | ||||
\(637\) | 4.14216 | + | 2.26179i | 0.164118 | + | 0.0896154i | ||||
\(638\) | 2.19721 | − | 1.64481i | 0.0869885 | − | 0.0651187i | ||||
\(639\) | 3.99752 | − | 1.82561i | 0.158140 | − | 0.0722200i | ||||
\(640\) | 1.75355 | − | 1.38747i | 0.0693151 | − | 0.0548444i | ||||
\(641\) | 15.2922 | + | 23.7951i | 0.604004 | + | 0.939849i | 0.999769 | + | 0.0214968i | \(0.00684317\pi\) |
−0.395765 | + | 0.918352i | \(0.629520\pi\) | |||||||
\(642\) | 0.0612175 | + | 0.855932i | 0.00241606 | + | 0.0337810i | ||||
\(643\) | −15.3919 | − | 15.3919i | −0.606997 | − | 0.606997i | 0.335163 | − | 0.942160i | \(-0.391209\pi\) |
−0.942160 | + | 0.335163i | \(0.891209\pi\) | |||||||
\(644\) | −9.13230 | + | 21.6039i | −0.359863 | + | 0.851311i | ||||
\(645\) | −1.10938 | + | 4.19007i | −0.0436818 | + | 0.164984i | ||||
\(646\) | −11.1966 | + | 12.9216i | −0.440524 | + | 0.508392i | ||||
\(647\) | −31.2422 | − | 6.79633i | −1.22826 | − | 0.267191i | −0.448793 | − | 0.893636i | \(-0.648146\pi\) |
−0.779466 | + | 0.626444i | \(0.784510\pi\) | |||||||
\(648\) | −0.800541 | − | 0.599278i | −0.0314482 | − | 0.0235419i | ||||
\(649\) | 2.96759 | + | 6.49812i | 0.116488 | + | 0.255074i | ||||
\(650\) | 0.855646 | − | 1.10146i | 0.0335612 | − | 0.0432029i | ||||
\(651\) | 6.59957 | + | 22.4761i | 0.258658 | + | 0.880907i | ||||
\(652\) | 0.269434 | + | 1.23857i | 0.0105519 | + | 0.0485061i | ||||
\(653\) | −12.8986 | − | 34.5826i | −0.504763 | − | 1.35332i | −0.900459 | − | 0.434940i | \(-0.856770\pi\) |
0.395697 | − | 0.918381i | \(-0.370503\pi\) | |||||||
\(654\) | 4.39233 | + | 1.28970i | 0.171754 | + | 0.0504314i | ||||
\(655\) | −32.9053 | + | 16.1055i | −1.28572 | + | 0.629295i | ||||
\(656\) | −5.50783 | − | 6.35637i | −0.215044 | − | 0.248175i | ||||
\(657\) | 2.30929 | + | 4.22914i | 0.0900939 | + | 0.164995i | ||||
\(658\) | −9.81299 | + | 3.66006i | −0.382550 | + | 0.142684i | ||||
\(659\) | 34.9409 | + | 22.4551i | 1.36110 | + | 0.874728i | 0.998365 | − | 0.0571628i | \(-0.0182054\pi\) |
0.362739 | + | 0.931891i | \(0.381842\pi\) | |||||||
\(660\) | 3.23426 | + | 3.06555i | 0.125893 | + | 0.119326i | ||||
\(661\) | 47.2393 | + | 6.79199i | 1.83740 | + | 0.264178i | 0.971670 | − | 0.236341i | \(-0.0759482\pi\) |
0.865726 | + | 0.500518i | \(0.166857\pi\) | |||||||
\(662\) | −10.7077 | + | 28.7084i | −0.416165 | + | 1.11578i | ||||
\(663\) | 0.508449 | − | 0.679208i | 0.0197465 | − | 0.0263783i | ||||
\(664\) | −3.70892 | + | 2.38358i | −0.143934 | + | 0.0925009i | ||||
\(665\) | −60.3984 | − | 11.4546i | −2.34215 | − | 0.444192i | ||||
\(666\) | − | 9.34648i | − | 0.362169i | ||||||
\(667\) | 6.49135 | + | 1.21973i | 0.251346 | + | 0.0472281i | ||||
\(668\) | −8.25030 | + | 8.25030i | −0.319214 | + | 0.319214i | ||||
\(669\) | −6.26937 | − | 5.43244i | −0.242388 | − | 0.210030i | ||||
\(670\) | −10.0298 | − | 31.0572i | −0.387485 | − | 1.19984i | ||||
\(671\) | 4.21778 | + | 29.3353i | 0.162826 | + | 1.13248i | ||||
\(672\) | 4.58230 | + | 1.70911i | 0.176766 | + | 0.0659303i | ||||
\(673\) | −8.14730 | − | 10.8835i | −0.314055 | − | 0.419529i | 0.615543 | − | 0.788103i | \(-0.288937\pi\) |
−0.929598 | + | 0.368575i | \(0.879846\pi\) | |||||||
\(674\) | 1.34110 | − | 0.393783i | 0.0516573 | − | 0.0151680i | ||||
\(675\) | −1.49408 | + | 4.77155i | −0.0575070 | + | 0.183657i | ||||
\(676\) | −5.36807 | + | 11.7544i | −0.206464 | + | 0.452094i | ||||
\(677\) | −9.76962 | + | 5.33462i | −0.375477 | + | 0.205026i | −0.655895 | − | 0.754852i | \(-0.727709\pi\) |
0.280418 | + | 0.959878i | \(0.409527\pi\) | |||||||
\(678\) | −0.324808 | + | 4.54141i | −0.0124742 | + | 0.174412i | ||||
\(679\) | 50.1979 | − | 43.4967i | 1.92642 | − | 1.66925i | ||||
\(680\) | −5.81778 | − | 3.52244i | −0.223102 | − | 0.135079i | ||||
\(681\) | 10.6271 | + | 4.85322i | 0.407230 | + | 0.185976i | ||||
\(682\) | 9.32726 | − | 2.02902i | 0.357159 | − | 0.0776952i | ||||
\(683\) | −5.00761 | + | 9.17075i | −0.191611 | + | 0.350909i | −0.955768 | − | 0.294121i | \(-0.904973\pi\) |
0.764157 | + | 0.645030i | \(0.223155\pi\) | |||||||
\(684\) | 0.800012 | − | 5.56421i | 0.0305892 | − | 0.212753i | ||||
\(685\) | −6.08551 | + | 8.59992i | −0.232515 | + | 0.328586i | ||||
\(686\) | 48.0143 | − | 6.90341i | 1.83319 | − | 0.263573i | ||||
\(687\) | 3.24017 | − | 14.8948i | 0.123620 | − | 0.568272i | ||||
\(688\) | 1.93348 | − | 0.138285i | 0.0737134 | − | 0.00527209i | ||||
\(689\) | −1.49089 | −0.0567982 | ||||||||
\(690\) | −0.173305 | + | 10.7224i | −0.00659760 | + | 0.408195i | ||||
\(691\) | −38.8202 | −1.47679 | −0.738394 | − | 0.674369i | \(-0.764416\pi\) | ||||
−0.738394 | + | 0.674369i | \(0.764416\pi\) | |||||||
\(692\) | 8.09225 | − | 0.578769i | 0.307621 | − | 0.0220015i | ||||
\(693\) | −2.07177 | + | 9.52378i | −0.0787001 | + | 0.361779i | ||||
\(694\) | 9.12418 | − | 1.31186i | 0.346349 | − | 0.0497975i | ||||
\(695\) | −0.449210 | − | 2.62361i | −0.0170395 | − | 0.0995194i | ||||
\(696\) | 0.196000 | − | 1.36321i | 0.00742936 | − | 0.0516723i | ||||
\(697\) | −12.2598 | + | 22.4521i | −0.464372 | + | 0.850435i | ||||
\(698\) | 32.4125 | − | 7.05092i | 1.22683 | − | 0.266881i | ||||
\(699\) | −12.7299 | − | 5.81354i | −0.481488 | − | 0.219888i | ||||
\(700\) | 0.436511 | − | 24.4494i | 0.0164986 | − | 0.924100i | ||||
\(701\) | 14.2151 | − | 12.3174i | 0.536896 | − | 0.465223i | −0.343708 | − | 0.939077i | \(-0.611683\pi\) |
0.880603 | + | 0.473854i | \(0.157138\pi\) | |||||||
\(702\) | −0.0199002 | + | 0.278241i | −0.000751084 | + | 0.0105015i | ||||
\(703\) | 46.1137 | − | 25.1800i | 1.73921 | − | 0.949682i | ||||
\(704\) | 0.827875 | − | 1.81279i | 0.0312017 | − | 0.0683222i | ||||
\(705\) | −3.53369 | + | 3.23158i | −0.133086 | + | 0.121709i | ||||
\(706\) | 1.69497 | − | 0.497689i | 0.0637911 | − | 0.0187308i | ||||
\(707\) | −44.2632 | − | 59.1288i | −1.66469 | − | 2.22377i | ||||
\(708\) | 3.35858 | + | 1.25269i | 0.126223 | + | 0.0470788i | ||||
\(709\) | 0.727329 | + | 5.05869i | 0.0273154 | + | 0.189983i | 0.998911 | − | 0.0466665i | \(-0.0148598\pi\) |
−0.971595 | + | 0.236649i | \(0.923951\pi\) | |||||||
\(710\) | −4.47689 | + | 8.74773i | −0.168015 | + | 0.328296i | ||||
\(711\) | 5.71279 | + | 4.95016i | 0.214246 | + | 0.185646i | ||||
\(712\) | 1.43697 | − | 1.43697i | 0.0538526 | − | 0.0538526i | ||||
\(713\) | 18.7734 | + | 13.2369i | 0.703068 | + | 0.495727i | ||||
\(714\) | − | 14.8750i | − | 0.556684i | ||||||
\(715\) | 0.231622 | − | 1.22130i | 0.00866217 | − | 0.0456742i | ||||
\(716\) | 12.9850 | − | 8.34494i | 0.485271 | − | 0.311865i | ||||
\(717\) | −0.960463 | + | 1.28303i | −0.0358691 | + | 0.0479156i | ||||
\(718\) | 12.5881 | − | 33.7500i | 0.469784 | − | 1.25954i | ||||
\(719\) | 12.3343 | + | 1.77340i | 0.459991 | + | 0.0661367i | 0.368415 | − | 0.929661i | \(-0.379900\pi\) |
0.0915760 | + | 0.995798i | \(0.470810\pi\) | |||||||
\(720\) | 2.23527 | − | 0.0598614i | 0.0833035 | − | 0.00223090i | ||||
\(721\) | 25.1765 | + | 16.1800i | 0.937622 | + | 0.602573i | ||||
\(722\) | 11.8060 | − | 4.40340i | 0.439373 | − | 0.163877i | ||||
\(723\) | −11.8274 | − | 21.6603i | −0.439866 | − | 0.805554i | ||||
\(724\) | −5.53635 | − | 6.38928i | −0.205757 | − | 0.237456i | ||||
\(725\) | −6.75382 | + | 1.34341i | −0.250831 | + | 0.0498929i | ||||
\(726\) | −6.74370 | − | 1.98013i | −0.250282 | − | 0.0734895i | ||||
\(727\) | −1.70806 | − | 4.57949i | −0.0633485 | − | 0.169844i | 0.901419 | − | 0.432948i | \(-0.142527\pi\) |
−0.964768 | + | 0.263104i | \(0.915254\pi\) | |||||||
\(728\) | −0.289994 | − | 1.33308i | −0.0107479 | − | 0.0494072i | ||||
\(729\) | −0.281733 | − | 0.959493i | −0.0104345 | − | 0.0355368i | ||||
\(730\) | −9.91725 | − | 4.21195i | −0.367054 | − | 0.155891i | ||||
\(731\) | −2.44918 | − | 5.36296i | −0.0905863 | − | 0.198356i | ||||
\(732\) | 11.9052 | + | 8.91209i | 0.440027 | + | 0.329400i | ||||
\(733\) | 32.5908 | + | 7.08970i | 1.20377 | + | 0.261864i | 0.769338 | − | 0.638841i | \(-0.220586\pi\) |
0.434430 | + | 0.900705i | \(0.356950\pi\) | |||||||
\(734\) | 6.28949 | − | 7.25846i | 0.232149 | − | 0.267915i | ||||
\(735\) | 32.7062 | − | 19.0128i | 1.20638 | − | 0.701299i | ||||
\(736\) | 4.56125 | − | 1.48156i | 0.168130 | − | 0.0546109i | ||||
\(737\) | −20.5678 | − | 20.5678i | −0.757623 | − | 0.757623i | ||||
\(738\) | −0.600011 | − | 8.38925i | −0.0220867 | − | 0.308813i | ||||
\(739\) | 7.81964 | + | 12.1676i | 0.287650 | + | 0.447592i | 0.954764 | − | 0.297363i | \(-0.0961072\pi\) |
−0.667114 | + | 0.744955i | \(0.732471\pi\) | |||||||
\(740\) | 12.9679 | + | 16.3895i | 0.476711 | + | 0.602490i | ||||
\(741\) | −1.42640 | + | 0.651415i | −0.0524001 | + | 0.0239303i | ||||
\(742\) | −20.9250 | + | 15.6643i | −0.768182 | + | 0.575054i | ||||
\(743\) | 28.4894 | + | 15.5564i | 1.04518 | + | 0.570709i | 0.907624 | − | 0.419785i | \(-0.137895\pi\) |
0.137553 | + | 0.990494i | \(0.456076\pi\) | |||||||
\(744\) | 2.58953 | − | 4.02938i | 0.0949366 | − | 0.147724i | ||||
\(745\) | −20.4622 | − | 16.7929i | −0.749677 | − | 0.615245i | ||||
\(746\) | 6.95813 | − | 23.6972i | 0.254755 | − | 0.867617i | ||||
\(747\) | −4.39757 | − | 0.314521i | −0.160899 | − | 0.0115077i | ||||
\(748\) | −6.04596 | − | 0.432415i | −0.221062 | − | 0.0158107i | ||||
\(749\) | 1.18236 | − | 4.02676i | 0.0432027 | − | 0.147135i | ||||
\(750\) | −4.00044 | − | 10.4401i | −0.146075 | − | 0.381220i | ||||
\(751\) | −5.98070 | + | 9.30615i | −0.218239 | + | 0.339586i | −0.933060 | − | 0.359721i | \(-0.882872\pi\) |
0.714821 | + | 0.699307i | \(0.246508\pi\) | |||||||
\(752\) | 1.87955 | + | 1.02631i | 0.0685401 | + | 0.0374257i | ||||
\(753\) | 21.0550 | − | 15.7616i | 0.767286 | − | 0.574383i | ||||
\(754\) | −0.349462 | + | 0.159594i | −0.0127267 | + | 0.00581207i | ||||
\(755\) | −21.9961 | − | 2.56363i | −0.800521 | − | 0.0933000i | ||||
\(756\) | 2.64409 | + | 4.11428i | 0.0961645 | + | 0.149635i | ||||
\(757\) | 1.09953 | + | 15.3735i | 0.0399632 | + | 0.558758i | 0.977509 | + | 0.210896i | \(0.0676380\pi\) |
−0.937545 | + | 0.347863i | \(0.886907\pi\) | |||||||
\(758\) | −10.4910 | − | 10.4910i | −0.381050 | − | 0.381050i | ||||
\(759\) | 4.21617 | + | 8.57733i | 0.153037 | + | 0.311337i | ||||
\(760\) | 6.31729 | + | 10.8671i | 0.229152 | + | 0.394191i | ||||
\(761\) | 4.94377 | − | 5.70541i | 0.179211 | − | 0.206821i | −0.659036 | − | 0.752112i | \(-0.729035\pi\) |
0.838247 | + | 0.545291i | \(0.183581\pi\) | |||||||
\(762\) | 13.9320 | + | 3.03071i | 0.504702 | + | 0.109791i | ||||
\(763\) | −17.9227 | − | 13.4168i | −0.648846 | − | 0.485720i | ||||
\(764\) | −6.99647 | − | 15.3201i | −0.253124 | − | 0.554263i | ||||
\(765\) | −2.54646 | − | 6.30632i | −0.0920674 | − | 0.228006i | ||||
\(766\) | −0.843364 | − | 2.87224i | −0.0304720 | − | 0.103778i | ||||
\(767\) | −0.212550 | − | 0.977076i | −0.00767473 | − | 0.0352802i | ||||
\(768\) | −0.349464 | − | 0.936950i | −0.0126102 | − | 0.0338093i | ||||
\(769\) | −3.97264 | − | 1.16647i | −0.143257 | − | 0.0420640i | 0.209318 | − | 0.977848i | \(-0.432876\pi\) |
−0.352575 | + | 0.935784i | \(0.614694\pi\) | |||||||
\(770\) | −9.58098 | − | 19.5749i | −0.345275 | − | 0.705432i | ||||
\(771\) | −12.0331 | − | 13.8869i | −0.433361 | − | 0.500126i | ||||
\(772\) | 9.29372 | + | 17.0202i | 0.334488 | + | 0.612569i | ||||
\(773\) | −44.6251 | + | 16.6443i | −1.60505 | + | 0.598654i | −0.982884 | − | 0.184228i | \(-0.941022\pi\) |
−0.622170 | + | 0.782882i | \(0.713749\pi\) | |||||||
\(774\) | 1.63071 | + | 1.04799i | 0.0586145 | + | 0.0376692i | ||||
\(775\) | −23.3068 | − | 5.50758i | −0.837204 | − | 0.197838i | ||||
\(776\) | −13.4430 | − | 1.93282i | −0.482577 | − | 0.0693841i | ||||
\(777\) | −15.9741 | + | 42.8283i | −0.573069 | + | 1.53646i | ||||
\(778\) | 14.4246 | − | 19.2690i | 0.517147 | − | 0.690827i | ||||
\(779\) | 39.7745 | − | 25.5615i | 1.42507 | − | 0.915836i | ||||
\(780\) | −0.351154 | − | 0.515520i | −0.0125733 | − | 0.0184586i | ||||
\(781\) | 8.75806i | 0.313388i | ||||||||
\(782\) | −9.07023 | − | 11.4237i | −0.324351 | − | 0.408509i | ||||
\(783\) | 0.973847 | − | 0.973847i | 0.0348024 | − | 0.0348024i | ||||
\(784\) | −12.7862 | − | 11.0793i | −0.456648 | − | 0.395688i | ||||
\(785\) | −30.9320 | − | 15.8303i | −1.10401 | − | 0.565008i | ||||
\(786\) | 2.33166 | + | 16.2170i | 0.0831675 | + | 0.578443i | ||||
\(787\) | 27.0209 | + | 10.0783i | 0.963190 | + | 0.359251i | 0.781361 | − | 0.624079i | \(-0.214526\pi\) |
0.181829 | + | 0.983330i | \(0.441798\pi\) | |||||||
\(788\) | −8.68297 | − | 11.5991i | −0.309318 | − | 0.413201i | ||||
\(789\) | −25.6912 | + | 7.54362i | −0.914632 | + | 0.268560i | ||||
\(790\) | −16.8858 | − | 0.754045i | −0.600771 | − | 0.0268277i | ||||
\(791\) | 9.25012 | − | 20.2549i | 0.328896 | − | 0.720183i | ||||
\(792\) | 1.74912 | − | 0.955089i | 0.0621521 | − | 0.0339376i | ||||
\(793\) | 0.295943 | − | 4.13783i | 0.0105093 | − | 0.146939i | ||||
\(794\) | −25.1280 | + | 21.7735i | −0.891759 | + | 0.772713i | ||||
\(795\) | −6.18968 | + | 10.2231i | −0.219525 | + | 0.362576i | ||||
\(796\) | 17.2519 | + | 7.87868i | 0.611478 | + | 0.279252i | ||||
\(797\) | −30.5388 | + | 6.64331i | −1.08174 | + | 0.235318i | −0.717902 | − | 0.696144i | \(-0.754897\pi\) |
−0.363838 | + | 0.931462i | \(0.618534\pi\) | |||||||
\(798\) | −13.1757 | + | 24.1295i | −0.466416 | + | 0.854177i | ||||
\(799\) | 0.926955 | − | 6.44711i | 0.0327933 | − | 0.228082i | ||||
\(800\) | −3.83659 | + | 3.20633i | −0.135644 | + | 0.113361i | ||||
\(801\) | 2.01149 | − | 0.289209i | 0.0710726 | − | 0.0102187i | ||||
\(802\) | 6.22397 | − | 28.6111i | 0.219776 | − | 1.01029i | ||||
\(803\) | −9.57837 | + | 0.685058i | −0.338013 | + | 0.0241752i | ||||
\(804\) | −14.5955 | −0.514744 | ||||||||
\(805\) | 19.1199 | − | 48.8371i | 0.673888 | − | 1.72128i | ||||
\(806\) | −1.33610 | −0.0470623 | ||||||||
\(807\) | −16.5347 | + | 1.18258i | −0.582049 | + | 0.0416290i | ||||
\(808\) | −3.21026 | + | 14.7573i | −0.112937 | + | 0.519161i | ||||
\(809\) | 20.0206 | − | 2.87853i | 0.703887 | − | 0.101204i | 0.218929 | − | 0.975741i | \(-0.429744\pi\) |
0.484958 | + | 0.874537i | \(0.338835\pi\) | |||||||
\(810\) | 1.82530 | + | 1.29162i | 0.0641344 | + | 0.0453830i | ||||
\(811\) | −3.26494 | + | 22.7082i | −0.114648 | + | 0.797392i | 0.848650 | + | 0.528955i | \(0.177416\pi\) |
−0.963297 | + | 0.268437i | \(0.913493\pi\) | |||||||
\(812\) | −3.22800 | + | 5.91164i | −0.113281 | + | 0.207458i | ||||
\(813\) | −9.96068 | + | 2.16681i | −0.349336 | + | 0.0759935i | ||||
\(814\) | 16.9432 | + | 7.73772i | 0.593860 | + | 0.271207i | ||||
\(815\) | −0.676399 | − | 2.75240i | −0.0236932 | − | 0.0964124i | ||||
\(816\) | −2.29863 | + | 1.99177i | −0.0804680 | + | 0.0697259i | ||||
\(817\) | −0.777362 | + | 10.8689i | −0.0271964 | + | 0.380256i | ||||
\(818\) | −23.1110 | + | 12.6196i | −0.808058 | + | 0.441233i | ||||
\(819\) | 0.566733 | − | 1.24097i | 0.0198032 | − | 0.0433630i | ||||
\(820\) | 12.6920 | + | 13.8785i | 0.443222 | + | 0.484657i | ||||
\(821\) | 35.5660 | − | 10.4431i | 1.24126 | − | 0.364468i | 0.405773 | − | 0.913974i | \(-0.367002\pi\) |
0.835490 | + | 0.549506i | \(0.185184\pi\) | |||||||
\(822\) | 2.82351 | + | 3.77177i | 0.0984812 | + | 0.131555i | ||||
\(823\) | −29.0163 | − | 10.8225i | −1.01144 | − | 0.377249i | −0.211535 | − | 0.977370i | \(-0.567846\pi\) |
−0.799909 | + | 0.600121i | \(0.795119\pi\) | |||||||
\(824\) | −0.870867 | − | 6.05701i | −0.0303381 | − | 0.211006i | ||||
\(825\) | −7.41294 | − | 6.65871i | −0.258085 | − | 0.231826i | ||||
\(826\) | −13.2490 | − | 11.4804i | −0.460993 | − | 0.399453i | ||||
\(827\) | −17.1328 | + | 17.1328i | −0.595764 | + | 0.595764i | −0.939183 | − | 0.343418i | \(-0.888415\pi\) |
0.343418 | + | 0.939183i | \(0.388415\pi\) | |||||||
\(828\) | 4.53933 | + | 1.54741i | 0.157753 | + | 0.0537761i | ||||
\(829\) | 0.451620i | 0.0156854i | 0.999969 | + | 0.00784270i | \(0.00249644\pi\) | ||||
−0.999969 | + | 0.00784270i | \(0.997504\pi\) | |||||||
\(830\) | 8.14775 | − | 5.54996i | 0.282813 | − | 0.192642i | ||||
\(831\) | −13.2572 | + | 8.51989i | −0.459887 | + | 0.295552i | ||||
\(832\) | −0.167169 | + | 0.223312i | −0.00579556 | + | 0.00774196i | ||||
\(833\) | −17.9827 | + | 48.2135i | −0.623064 | + | 1.67050i | ||||
\(834\) | −1.17827 | − | 0.169410i | −0.0408003 | − | 0.00586619i | ||||
\(835\) | 17.9477 | − | 18.9355i | 0.621107 | − | 0.655290i | ||||
\(836\) | 9.42445 | + | 6.05673i | 0.325951 | + | 0.209476i | ||||
\(837\) | 4.48774 | − | 1.67384i | 0.155119 | − | 0.0578564i | ||||
\(838\) | 6.00653 | + | 11.0001i | 0.207492 | + | 0.379993i | ||||
\(839\) | 31.2729 | + | 36.0909i | 1.07966 | + | 1.24600i | 0.967652 | + | 0.252288i | \(0.0811830\pi\) |
0.112009 | + | 0.993707i | \(0.464271\pi\) | |||||||
\(840\) | −10.3450 | − | 3.54601i | −0.356935 | − | 0.122349i | ||||
\(841\) | −26.0054 | − | 7.63587i | −0.896737 | − | 0.263306i | ||||
\(842\) | −5.78917 | − | 15.5214i | −0.199508 | − | 0.534902i | ||||
\(843\) | −3.72821 | − | 17.1383i | −0.128406 | − | 0.590274i | ||||
\(844\) | 4.12711 | + | 14.0556i | 0.142061 | + | 0.483815i | ||||
\(845\) | 11.2954 | − | 26.5956i | 0.388575 | − | 0.914918i | ||||
\(846\) | 0.889611 | + | 1.94798i | 0.0305855 | + | 0.0669728i | ||||
\(847\) | 27.5174 | + | 20.5993i | 0.945509 | + | 0.707799i | ||||
\(848\) | 5.22246 | + | 1.13608i | 0.179340 | + | 0.0390130i | ||||
\(849\) | −18.0420 | + | 20.8216i | −0.619200 | + | 0.714594i | ||||
\(850\) | 13.2152 | + | 7.52532i | 0.453276 | + | 0.258116i | ||||
\(851\) | 13.8473 | + | 42.6316i | 0.474681 | + | 1.46139i | ||||
\(852\) | 3.10749 | + | 3.10749i | 0.106461 | + | 0.106461i | ||||
\(853\) | 0.666179 | + | 9.31440i | 0.0228095 | + | 0.318919i | 0.996028 | + | 0.0890378i | \(0.0283792\pi\) |
−0.973219 | + | 0.229881i | \(0.926166\pi\) | |||||||
\(854\) | −39.3213 | − | 61.1851i | −1.34555 | − | 2.09371i | ||||
\(855\) | −1.45516 | + | 12.4854i | −0.0497654 | + | 0.426991i | ||||
\(856\) | −0.780572 | + | 0.356475i | −0.0266794 | + | 0.0121841i | ||||
\(857\) | 22.1283 | − | 16.5650i | 0.755887 | − | 0.565850i | −0.150343 | − | 0.988634i | \(-0.548038\pi\) |
0.906231 | + | 0.422784i | \(0.138947\pi\) | |||||||
\(858\) | −0.487919 | − | 0.266424i | −0.0166573 | − | 0.00909555i | ||||
\(859\) | 25.1268 | − | 39.0981i | 0.857316 | − | 1.33401i | −0.0839936 | − | 0.996466i | \(-0.526768\pi\) |
0.941310 | − | 0.337544i | \(-0.109596\pi\) | |||||||
\(860\) | −4.31357 | + | 0.424846i | −0.147092 | + | 0.0144871i | ||||
\(861\) | −11.5887 | + | 39.4675i | −0.394942 | + | 1.34505i | ||||
\(862\) | 19.9004 | + | 1.42330i | 0.677809 | + | 0.0484778i | ||||
\(863\) | −14.4407 | − | 1.03282i | −0.491567 | − | 0.0351576i | −0.176644 | − | 0.984275i | \(-0.556524\pi\) |
−0.314923 | + | 0.949117i | \(0.601979\pi\) | |||||||
\(864\) | 0.281733 | − | 0.959493i | 0.00958474 | − | 0.0326426i | ||||
\(865\) | −18.0537 | + | 1.77812i | −0.613844 | + | 0.0604578i | ||||
\(866\) | 20.2962 | − | 31.5815i | 0.689692 | − | 1.07318i | ||||
\(867\) | −6.80128 | − | 3.71378i | −0.230984 | − | 0.126127i | ||||
\(868\) | −18.7526 | + | 14.0380i | −0.636506 | + | 0.476482i | ||||
\(869\) | −13.7031 | + | 6.25800i | −0.464846 | + | 0.212288i | ||||
\(870\) | −0.356508 | + | 3.05887i | −0.0120868 | + | 0.103705i | ||||
\(871\) | 2.20119 | + | 3.42511i | 0.0745844 | + | 0.116056i | ||||
\(872\) | 0.326574 | + | 4.56610i | 0.0110592 | + | 0.154628i | ||||
\(873\) | −9.60341 | − | 9.60341i | −0.325026 | − | 0.325026i | ||||
\(874\) | 4.59464 | + | 26.5650i | 0.155416 | + | 0.898574i | ||||
\(875\) | 0.487856 | + | 54.6770i | 0.0164926 | + | 1.84842i | ||||
\(876\) | −3.15548 | + | 3.64162i | −0.106614 | + | 0.123039i | ||||
\(877\) | −15.1749 | − | 3.30111i | −0.512422 | − | 0.111470i | −0.0510826 | − | 0.998694i | \(-0.516267\pi\) |
−0.461339 | + | 0.887224i | \(0.652631\pi\) | |||||||
\(878\) | −24.2489 | − | 18.1525i | −0.818359 | − | 0.612616i | ||||
\(879\) | −11.7081 | − | 25.6372i | −0.394905 | − | 0.864722i | ||||
\(880\) | −1.74201 | + | 4.10164i | −0.0587230 | + | 0.138266i | ||||
\(881\) | 9.48142 | + | 32.2907i | 0.319437 | + | 1.08790i | 0.950126 | + | 0.311867i | \(0.100954\pi\) |
−0.630689 | + | 0.776036i | \(0.717228\pi\) | |||||||
\(882\) | −3.59629 | − | 16.5319i | −0.121093 | − | 0.556657i | ||||
\(883\) | −0.134351 | − | 0.360208i | −0.00452126 | − | 0.0121220i | 0.934669 | − | 0.355518i | \(-0.115695\pi\) |
−0.939191 | + | 0.343396i | \(0.888423\pi\) | |||||||
\(884\) | 0.814069 | + | 0.239032i | 0.0273801 | + | 0.00803952i | ||||
\(885\) | −7.58231 | − | 2.59904i | −0.254877 | − | 0.0873657i | ||||
\(886\) | −4.46359 | − | 5.15126i | −0.149957 | − | 0.173060i | ||||
\(887\) | 23.1373 | + | 42.3727i | 0.776873 | + | 1.42274i | 0.902514 | + | 0.430661i | \(0.141720\pi\) |
−0.125640 | + | 0.992076i | \(0.540099\pi\) | |||||||
\(888\) | 8.75718 | − | 3.26626i | 0.293872 | − | 0.109608i | ||||
\(889\) | −58.6606 | − | 37.6989i | −1.96741 | − | 1.26438i | ||||
\(890\) | −3.12598 | + | 3.29802i | −0.104783 | + | 0.110550i | ||||
\(891\) | 1.97260 | + | 0.283617i | 0.0660847 | + | 0.00950154i | ||||
\(892\) | 2.89900 | − | 7.77253i | 0.0970658 | − | 0.260244i | ||||
\(893\) | −7.21427 | + | 9.63714i | −0.241416 | + | 0.322495i | ||||
\(894\) | −9.95885 | + | 6.40017i | −0.333074 | + | 0.214054i | ||||
\(895\) | −28.5253 | + | 19.4305i | −0.953497 | + | 0.649489i | ||||
\(896\) | 4.89066i | 0.163385i | ||||||||
\(897\) | −0.321460 | − | 1.29861i | −0.0107332 | − | 0.0433593i | ||||
\(898\) | −9.55588 | + | 9.55588i | −0.318884 | + | 0.318884i | ||||
\(899\) | 4.98534 | + | 4.31982i | 0.166270 | + | 0.144074i | ||||
\(900\) | −4.99283 | + | 0.267612i | −0.166428 | + | 0.00892041i | ||||
\(901\) | −2.31343 | − | 16.0902i | −0.0770715 | − | 0.536044i | ||||
\(902\) | 15.7047 | + | 5.85756i | 0.522910 | + | 0.195035i | ||||
\(903\) | −5.68125 | − | 7.58926i | −0.189060 | − | 0.252555i | ||||
\(904\) | −4.36858 | + | 1.28273i | −0.145297 | + | 0.0426630i | ||||
\(905\) | 12.7577 | + | 13.9503i | 0.424080 | + | 0.463725i | ||||
\(906\) | −4.11408 | + | 9.00859i | −0.136681 | + | 0.299290i | ||||
\(907\) | −19.3754 | + | 10.5798i | −0.643349 | + | 0.351295i | −0.767575 | − | 0.640959i | \(-0.778537\pi\) |
0.124226 | + | 0.992254i | \(0.460355\pi\) | |||||||
\(908\) | −0.833442 | + | 11.6530i | −0.0276588 | + | 0.386720i | ||||
\(909\) | −11.4137 | + | 9.89002i | −0.378568 | + | 0.328031i | ||||
\(910\) | 0.728013 | + | 2.96243i | 0.0241334 | + | 0.0982035i | ||||
\(911\) | −35.2081 | − | 16.0790i | −1.16650 | − | 0.532721i | −0.264467 | − | 0.964395i | \(-0.585196\pi\) |
−0.902030 | + | 0.431673i | \(0.857923\pi\) | |||||||
\(912\) | 5.49296 | − | 1.19492i | 0.181890 | − | 0.0395678i | ||||
\(913\) | 4.21080 | − | 7.71151i | 0.139357 | − | 0.255214i | ||||
\(914\) | −0.945350 | + | 6.57506i | −0.0312694 | + | 0.217483i | ||||
\(915\) | −27.1447 | − | 19.2082i | −0.897376 | − | 0.635005i | ||||
\(916\) | 15.0880 | − | 2.16933i | 0.498522 | − | 0.0716766i | ||||
\(917\) | 17.0323 | − | 78.2964i | 0.562457 | − | 2.58557i | ||||
\(918\) | −3.03377 | + | 0.216979i | −0.100129 | + | 0.00716139i | ||||
\(919\) | 12.9002 | 0.425538 | 0.212769 | − | 0.977103i | \(-0.431752\pi\) | ||||
0.212769 | + | 0.977103i | \(0.431752\pi\) | |||||||
\(920\) | −10.1069 | + | 3.58472i | −0.333215 | + | 0.118185i | ||||
\(921\) | 20.1744 | 0.664770 | ||||||||
\(922\) | −37.9364 | + | 2.71326i | −1.24937 | + | 0.0893566i | ||||
\(923\) | 0.260583 | − | 1.19788i | 0.00857721 | − | 0.0394288i | ||||
\(924\) | −9.64732 | + | 1.38707i | −0.317373 | + | 0.0456314i | ||||
\(925\) | −29.9679 | − | 35.8586i | −0.985338 | − | 1.17903i | ||||
\(926\) | −2.57292 | + | 17.8950i | −0.0845513 | + | 0.588067i | ||||
\(927\) | 2.93267 | − | 5.37078i | 0.0963214 | − | 0.176400i | ||||
\(928\) | 1.34575 | − | 0.292751i | 0.0441765 | − | 0.00961001i | ||||
\(929\) | 49.6568 | + | 22.6775i | 1.62919 | + | 0.744025i | 0.999462 | − | 0.0327940i | \(-0.0104405\pi\) |
0.629724 | + | 0.776819i | \(0.283168\pi\) | |||||||
\(930\) | −5.54708 | + | 9.16175i | −0.181896 | + | 0.300426i | ||||
\(931\) | 71.8764 | − | 62.2813i | 2.35565 | − | 2.04119i | ||||
\(932\) | 0.998359 | − | 13.9589i | 0.0327023 | − | 0.457238i | ||||
\(933\) | −4.89787 | + | 2.67444i | −0.160349 | + | 0.0875571i | ||||
\(934\) | 1.81529 | − | 3.97493i | 0.0593980 | − | 0.130064i | ||||
\(935\) | 13.5402 | + | 0.604644i | 0.442812 | + | 0.0197740i | ||||
\(936\) | −0.267652 | + | 0.0785898i | −0.00874848 | + | 0.00256879i | ||||
\(937\) | 16.6912 | + | 22.2969i | 0.545278 | + | 0.728407i | 0.985536 | − | 0.169465i | \(-0.0542039\pi\) |
−0.440258 | + | 0.897871i | \(0.645113\pi\) | |||||||
\(938\) | 66.8810 | + | 24.9453i | 2.18374 | + | 0.814493i | ||||
\(939\) | 2.44274 | + | 16.9897i | 0.0797160 | + | 0.554437i | ||||
\(940\) | −4.26273 | − | 2.18157i | −0.139035 | − | 0.0711549i | ||||
\(941\) | −15.4959 | − | 13.4273i | −0.505152 | − | 0.437717i | 0.364630 | − | 0.931152i | \(-0.381195\pi\) |
−0.869782 | + | 0.493436i | \(0.835741\pi\) | |||||||
\(942\) | −10.9881 | + | 10.9881i | −0.358012 | + | 0.358012i | ||||
\(943\) | 15.1660 | + | 37.3765i | 0.493872 | + | 1.21715i | ||||
\(944\) | 3.58459i | 0.116668i | ||||||||
\(945\) | −6.15653 | − | 9.03824i | −0.200272 | − | 0.294014i | ||||
\(946\) | −3.24981 | + | 2.08853i | −0.105660 | + | 0.0679039i | ||||
\(947\) | 5.94758 | − | 7.94503i | 0.193270 | − | 0.258179i | −0.693430 | − | 0.720524i | \(-0.743901\pi\) |
0.886700 | + | 0.462346i | \(0.152992\pi\) | |||||||
\(948\) | −2.64164 | + | 7.08250i | −0.0857964 | + | 0.230029i | ||||
\(949\) | 1.33046 | + | 0.191292i | 0.0431886 | + | 0.00620959i | ||||
\(950\) | −14.7714 | − | 23.9127i | −0.479246 | − | 0.775831i | ||||
\(951\) | −24.3887 | − | 15.6737i | −0.790858 | − | 0.508253i | ||||
\(952\) | 13.9371 | − | 5.19829i | 0.451705 | − | 0.168477i | ||||
\(953\) | −15.3159 | − | 28.0491i | −0.496132 | − | 0.908598i | −0.999021 | − | 0.0442468i | \(-0.985911\pi\) |
0.502889 | − | 0.864351i | \(-0.332271\pi\) | |||||||
\(954\) | 3.49997 | + | 4.03918i | 0.113316 | + | 0.130773i | ||||
\(955\) | 16.5561 | + | 33.8258i | 0.535742 | + | 1.09458i | ||||
\(956\) | −1.53778 | − | 0.451533i | −0.0497354 | − | 0.0146036i | ||||
\(957\) | 0.959160 | + | 2.57161i | 0.0310052 | + | 0.0831282i | ||||
\(958\) | 7.70064 | + | 35.3993i | 0.248796 | + | 1.14370i | ||||
\(959\) | −6.49180 | − | 22.1090i | −0.209631 | − | 0.713938i | ||||
\(960\) | 0.837233 | + | 2.07341i | 0.0270216 | + | 0.0669191i | ||||
\(961\) | −3.34760 | − | 7.33021i | −0.107987 | − | 0.236458i | ||||
\(962\) | −2.08718 | − | 1.56245i | −0.0672935 | − | 0.0503753i | ||||
\(963\) | −0.838508 | − | 0.182406i | −0.0270205 | − | 0.00587796i | ||||
\(964\) | 16.1613 | − | 18.6512i | 0.520521 | − | 0.600714i | ||||
\(965\) | −21.7928 | − | 37.4883i | −0.701535 | − | 1.20679i | ||||
\(966\) | −18.1559 | − | 14.8489i | −0.584156 | − | 0.477755i | ||||
\(967\) | −14.1553 | − | 14.1553i | −0.455204 | − | 0.455204i | 0.441874 | − | 0.897077i | \(-0.354314\pi\) |
−0.897077 | + | 0.441874i | \(0.854314\pi\) | |||||||
\(968\) | −0.501400 | − | 7.01049i | −0.0161156 | − | 0.225326i | ||||
\(969\) | −9.24370 | − | 14.3835i | −0.296950 | − | 0.462064i | ||||
\(970\) | 30.1645 | + | 3.51564i | 0.968523 | + | 0.112880i | ||||
\(971\) | −37.7870 | + | 17.2568i | −1.21264 | + | 0.553796i | −0.915994 | − | 0.401191i | \(-0.868596\pi\) |
−0.296649 | + | 0.954987i | \(0.595869\pi\) | |||||||
\(972\) | 0.800541 | − | 0.599278i | 0.0256774 | − | 0.0192218i | ||||
\(973\) | 5.10966 | + | 2.79009i | 0.163808 | + | 0.0894460i | ||||
\(974\) | −0.325363 | + | 0.506274i | −0.0104253 | + | 0.0162221i | ||||
\(975\) | 0.815783 | + | 1.13130i | 0.0261260 | + | 0.0362307i | ||||
\(976\) | −4.18975 | + | 14.2690i | −0.134111 | + | 0.456739i | ||||
\(977\) | −10.1623 | − | 0.726825i | −0.325122 | − | 0.0232532i | −0.0921756 | − | 0.995743i | \(-0.529382\pi\) |
−0.232946 | + | 0.972490i | \(0.574837\pi\) | |||||||
\(978\) | −1.26431 | − | 0.0904249i | −0.0404280 | − | 0.00289147i | ||||
\(979\) | −1.14099 | + | 3.88585i | −0.0364661 | + | 0.124192i | ||||
\(980\) | 29.2437 | + | 23.9997i | 0.934155 | + | 0.766643i | ||||
\(981\) | −2.47492 | + | 3.85106i | −0.0790183 | + | 0.122955i | ||||
\(982\) | −7.61434 | − | 4.15775i | −0.242984 | − | 0.132679i | ||||
\(983\) | 33.5305 | − | 25.1006i | 1.06946 | − | 0.800585i | 0.0887470 | − | 0.996054i | \(-0.471714\pi\) |
0.980710 | + | 0.195469i | \(0.0626228\pi\) | |||||||
\(984\) | 7.65063 | − | 3.49392i | 0.243893 | − | 0.111382i | ||||
\(985\) | 20.1031 | + | 25.4073i | 0.640538 | + | 0.809544i | ||||
\(986\) | −2.26467 | − | 3.52389i | −0.0721218 | − | 0.112224i | ||||
\(987\) | −0.747159 | − | 10.4467i | −0.0237823 | − | 0.332521i | ||||
\(988\) | −1.10882 | − | 1.10882i | −0.0352762 | − | 0.0352762i | ||||
\(989\) | −8.99071 | − | 2.36416i | −0.285888 | − | 0.0751760i | ||||
\(990\) | −3.85257 | + | 2.23958i | −0.122443 | + | 0.0711786i | ||||
\(991\) | −29.3818 | + | 33.9084i | −0.933344 | + | 1.07714i | 0.0635181 | + | 0.997981i | \(0.479768\pi\) |
−0.996862 | + | 0.0791558i | \(0.974778\pi\) | |||||||
\(992\) | 4.68027 | + | 1.01813i | 0.148599 | + | 0.0323257i | ||||
\(993\) | −24.5288 | − | 18.3620i | −0.778397 | − | 0.582701i | ||||
\(994\) | −8.92842 | − | 19.5505i | −0.283192 | − | 0.620105i | ||||
\(995\) | −39.0342 | − | 16.5782i | −1.23747 | − | 0.525565i | ||||
\(996\) | −1.24210 | − | 4.23022i | −0.0393576 | − | 0.134040i | ||||
\(997\) | −1.17950 | − | 5.42208i | −0.0373552 | − | 0.171719i | 0.954690 | − | 0.297603i | \(-0.0961871\pi\) |
−0.992045 | + | 0.125884i | \(0.959823\pi\) | |||||||
\(998\) | 8.54015 | + | 22.8970i | 0.270334 | + | 0.724793i | ||||
\(999\) | 8.96788 | + | 2.63321i | 0.283731 | + | 0.0833110i |
(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 | 690.2.w.a.7.1 | ✓ | 240 | |
5.3 | odd | 4 | inner | 690.2.w.a.283.8 | yes | 240 | |
23.10 | odd | 22 | inner | 690.2.w.a.217.8 | yes | 240 | |
115.33 | even | 44 | inner | 690.2.w.a.493.1 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.w.a.7.1 | ✓ | 240 | 1.1 | even | 1 | trivial | |
690.2.w.a.217.8 | yes | 240 | 23.10 | odd | 22 | inner | |
690.2.w.a.283.8 | yes | 240 | 5.3 | odd | 4 | inner | |
690.2.w.a.493.1 | yes | 240 | 115.33 | even | 44 | inner |