Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [354,2,Mod(7,354)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(354, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("354.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.e (of order \(29\), degree \(28\), 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: | \(2.82670423155\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 223.2 | ||
Character | \(\chi\) | \(=\) | 354.223 |
Dual form | 354.2.e.b.127.2 |
$q$-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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{8}{29}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.647386 | − | 0.762162i | −0.457771 | − | 0.538930i | ||||
\(3\) | −0.796093 | + | 0.605174i | −0.459625 | + | 0.349397i | ||||
\(4\) | −0.161782 | + | 0.986827i | −0.0808910 | + | 0.493413i | ||||
\(5\) | 0.140789 | − | 0.265557i | 0.0629629 | − | 0.118761i | −0.850033 | − | 0.526730i | \(-0.823418\pi\) |
0.912996 | + | 0.407969i | \(0.133763\pi\) | |||||||
\(6\) | 0.976621 | + | 0.214970i | 0.398704 | + | 0.0877613i | ||||
\(7\) | −0.694075 | + | 0.0754852i | −0.262336 | + | 0.0285307i | −0.238342 | − | 0.971181i | \(-0.576604\pi\) |
−0.0239940 | + | 0.999712i | \(0.507638\pi\) | |||||||
\(8\) | 0.856857 | − | 0.515554i | 0.302945 | − | 0.182276i | ||||
\(9\) | 0.267528 | − | 0.963550i | 0.0891761 | − | 0.321183i | ||||
\(10\) | −0.293542 | + | 0.0646136i | −0.0928263 | + | 0.0204326i | ||||
\(11\) | 1.30975 | − | 0.441306i | 0.394904 | − | 0.133059i | −0.114841 | − | 0.993384i | \(-0.536636\pi\) |
0.509746 | + | 0.860325i | \(0.329739\pi\) | |||||||
\(12\) | −0.468408 | − | 0.883512i | −0.135218 | − | 0.255048i | ||||
\(13\) | 1.02091 | + | 3.67700i | 0.283150 | + | 1.01981i | 0.959146 | + | 0.282910i | \(0.0912997\pi\) |
−0.675996 | + | 0.736905i | \(0.736286\pi\) | |||||||
\(14\) | 0.506866 | + | 0.480129i | 0.135466 | + | 0.128320i | ||||
\(15\) | 0.0486267 | + | 0.296610i | 0.0125554 | + | 0.0765844i | ||||
\(16\) | −0.947653 | − | 0.319302i | −0.236913 | − | 0.0798254i | ||||
\(17\) | 4.84839 | + | 0.527294i | 1.17591 | + | 0.127888i | 0.675137 | − | 0.737692i | \(-0.264084\pi\) |
0.500771 | + | 0.865580i | \(0.333050\pi\) | |||||||
\(18\) | −0.907575 | + | 0.419889i | −0.213918 | + | 0.0989688i | ||||
\(19\) | 0.200283 | + | 3.69400i | 0.0459481 | + | 0.847463i | 0.927143 | + | 0.374709i | \(0.122257\pi\) |
−0.881194 | + | 0.472754i | \(0.843260\pi\) | |||||||
\(20\) | 0.239281 | + | 0.181897i | 0.0535049 | + | 0.0406734i | ||||
\(21\) | 0.506866 | − | 0.480129i | 0.110607 | − | 0.104773i | ||||
\(22\) | −1.18426 | − | 0.712546i | −0.252485 | − | 0.151915i | ||||
\(23\) | 3.07555 | + | 1.42290i | 0.641297 | + | 0.296696i | 0.713459 | − | 0.700697i | \(-0.247128\pi\) |
−0.0721614 | + | 0.997393i | \(0.522990\pi\) | |||||||
\(24\) | −0.370138 | + | 0.928977i | −0.0755541 | + | 0.189627i | ||||
\(25\) | 2.75524 | + | 4.06367i | 0.551047 | + | 0.812734i | ||||
\(26\) | 2.14154 | − | 3.15854i | 0.419991 | − | 0.619440i | ||||
\(27\) | 0.370138 | + | 0.928977i | 0.0712331 | + | 0.178782i | ||||
\(28\) | 0.0377980 | − | 0.697143i | 0.00714315 | − | 0.131748i | ||||
\(29\) | 2.55869 | − | 3.01233i | 0.475137 | − | 0.559375i | −0.471421 | − | 0.881908i | \(-0.656259\pi\) |
0.946558 | + | 0.322534i | \(0.104535\pi\) | |||||||
\(30\) | 0.194585 | − | 0.229083i | 0.0355261 | − | 0.0418246i | ||||
\(31\) | 0.0121354 | − | 0.223824i | 0.00217958 | − | 0.0401999i | −0.997241 | − | 0.0742279i | \(-0.976351\pi\) |
0.999421 | + | 0.0340280i | \(0.0108335\pi\) | |||||||
\(32\) | 0.370138 | + | 0.928977i | 0.0654318 | + | 0.164221i | ||||
\(33\) | −0.775616 | + | 1.14395i | −0.135017 | + | 0.199136i | ||||
\(34\) | −2.73690 | − | 4.03662i | −0.469374 | − | 0.692275i | ||||
\(35\) | −0.0776727 | + | 0.194944i | −0.0131291 | + | 0.0329515i | ||||
\(36\) | 0.907575 | + | 0.419889i | 0.151263 | + | 0.0699815i | ||||
\(37\) | 3.78404 | + | 2.27678i | 0.622092 | + | 0.374300i | 0.791432 | − | 0.611258i | \(-0.209336\pi\) |
−0.169340 | + | 0.985558i | \(0.554164\pi\) | |||||||
\(38\) | 2.68577 | − | 2.54410i | 0.435689 | − | 0.412707i | ||||
\(39\) | −3.03796 | − | 2.30940i | −0.486464 | − | 0.369800i | ||||
\(40\) | −0.0162725 | − | 0.300129i | −0.00257291 | − | 0.0474545i | ||||
\(41\) | 5.51917 | − | 2.55344i | 0.861950 | − | 0.398780i | 0.0614477 | − | 0.998110i | \(-0.480428\pi\) |
0.800502 | + | 0.599330i | \(0.204566\pi\) | |||||||
\(42\) | −0.694075 | − | 0.0754852i | −0.107098 | − | 0.0116476i | ||||
\(43\) | −1.37218 | − | 0.462342i | −0.209256 | − | 0.0705065i | 0.212721 | − | 0.977113i | \(-0.431767\pi\) |
−0.421977 | + | 0.906606i | \(0.638664\pi\) | |||||||
\(44\) | 0.223599 | + | 1.36389i | 0.0337088 | + | 0.205614i | ||||
\(45\) | −0.218212 | − | 0.206702i | −0.0325291 | − | 0.0308132i | ||||
\(46\) | −0.906589 | − | 3.26524i | −0.133669 | − | 0.481433i | ||||
\(47\) | −1.73350 | − | 3.26973i | −0.252857 | − | 0.476938i | 0.724292 | − | 0.689493i | \(-0.242167\pi\) |
−0.977149 | + | 0.212554i | \(0.931822\pi\) | |||||||
\(48\) | 0.947653 | − | 0.319302i | 0.136782 | − | 0.0460872i | ||||
\(49\) | −6.36030 | + | 1.40001i | −0.908615 | + | 0.200001i | ||||
\(50\) | 1.31347 | − | 4.73070i | 0.185753 | − | 0.669022i | ||||
\(51\) | −4.17888 | + | 2.51435i | −0.585160 | + | 0.352079i | ||||
\(52\) | −3.79372 | + | 0.412592i | −0.526095 | + | 0.0572162i | ||||
\(53\) | 3.27478 | + | 0.720834i | 0.449826 | + | 0.0990142i | 0.434105 | − | 0.900862i | \(-0.357065\pi\) |
0.0157209 | + | 0.999876i | \(0.494996\pi\) | |||||||
\(54\) | 0.468408 | − | 0.883512i | 0.0637423 | − | 0.120231i | ||||
\(55\) | 0.0672069 | − | 0.409944i | 0.00906218 | − | 0.0552769i | ||||
\(56\) | −0.555806 | + | 0.422513i | −0.0742727 | + | 0.0564607i | ||||
\(57\) | −2.39496 | − | 2.81956i | −0.317220 | − | 0.373460i | ||||
\(58\) | −3.95234 | −0.518968 | ||||||||
\(59\) | −6.83631 | + | 3.50212i | −0.890012 | + | 0.455937i | ||||
\(60\) | −0.300570 | −0.0388034 | ||||||||
\(61\) | −1.04273 | − | 1.22760i | −0.133508 | − | 0.157178i | 0.691345 | − | 0.722525i | \(-0.257018\pi\) |
−0.824854 | + | 0.565346i | \(0.808743\pi\) | |||||||
\(62\) | −0.178446 | + | 0.135651i | −0.0226627 | + | 0.0172277i | ||||
\(63\) | −0.112951 | + | 0.688970i | −0.0142305 | + | 0.0868021i | ||||
\(64\) | 0.468408 | − | 0.883512i | 0.0585511 | − | 0.110439i | ||||
\(65\) | 1.12018 | + | 0.246571i | 0.138942 | + | 0.0305834i | ||||
\(66\) | 1.37400 | − | 0.149431i | 0.169127 | − | 0.0183937i | ||||
\(67\) | −1.39950 | + | 0.842053i | −0.170977 | + | 0.102873i | −0.598470 | − | 0.801145i | \(-0.704224\pi\) |
0.427493 | + | 0.904019i | \(0.359397\pi\) | |||||||
\(68\) | −1.30473 | + | 4.69921i | −0.158222 | + | 0.569863i | ||||
\(69\) | −3.30953 | + | 0.728483i | −0.398421 | + | 0.0876991i | ||||
\(70\) | 0.198863 | − | 0.0670047i | 0.0237687 | − | 0.00800860i | ||||
\(71\) | −3.17992 | − | 5.99796i | −0.377387 | − | 0.711827i | 0.619959 | − | 0.784634i | \(-0.287149\pi\) |
−0.997346 | + | 0.0728068i | \(0.976804\pi\) | |||||||
\(72\) | −0.267528 | − | 0.963550i | −0.0315285 | − | 0.113555i | ||||
\(73\) | 3.29561 | + | 3.12177i | 0.385722 | + | 0.365375i | 0.855851 | − | 0.517222i | \(-0.173034\pi\) |
−0.470129 | + | 0.882598i | \(0.655793\pi\) | |||||||
\(74\) | −0.714458 | − | 4.35800i | −0.0830541 | − | 0.506608i | ||||
\(75\) | −4.65265 | − | 1.56766i | −0.537242 | − | 0.181018i | ||||
\(76\) | −3.67774 | − | 0.399979i | −0.421866 | − | 0.0458807i | ||||
\(77\) | −0.875752 | + | 0.405166i | −0.0998012 | + | 0.0461730i | ||||
\(78\) | 0.206599 | + | 3.81050i | 0.0233927 | + | 0.431454i | ||||
\(79\) | −8.61555 | − | 6.54937i | −0.969325 | − | 0.736862i | −0.00456437 | − | 0.999990i | \(-0.501453\pi\) |
−0.964761 | + | 0.263128i | \(0.915246\pi\) | |||||||
\(80\) | −0.218212 | + | 0.206702i | −0.0243969 | + | 0.0231099i | ||||
\(81\) | −0.856857 | − | 0.515554i | −0.0952064 | − | 0.0572838i | ||||
\(82\) | −5.51917 | − | 2.55344i | −0.609491 | − | 0.281980i | ||||
\(83\) | −2.75870 | + | 6.92381i | −0.302807 | + | 0.759987i | 0.696301 | + | 0.717750i | \(0.254828\pi\) |
−0.999108 | + | 0.0422374i | \(0.986551\pi\) | |||||||
\(84\) | 0.391802 | + | 0.577865i | 0.0427492 | + | 0.0630503i | ||||
\(85\) | 0.822628 | − | 1.21329i | 0.0892266 | − | 0.131599i | ||||
\(86\) | 0.535953 | + | 1.34514i | 0.0577933 | + | 0.145050i | ||||
\(87\) | −0.213976 | + | 3.94655i | −0.0229406 | + | 0.423114i | ||||
\(88\) | 0.894752 | − | 1.05338i | 0.0953808 | − | 0.112291i | ||||
\(89\) | −2.12020 | + | 2.49609i | −0.224741 | + | 0.264585i | −0.862963 | − | 0.505267i | \(-0.831394\pi\) |
0.638223 | + | 0.769852i | \(0.279670\pi\) | |||||||
\(90\) | −0.0162725 | + | 0.300129i | −0.00171527 | + | 0.0316363i | ||||
\(91\) | −0.986148 | − | 2.47505i | −0.103376 | − | 0.259455i | ||||
\(92\) | −1.90173 | + | 2.80484i | −0.198269 | + | 0.292425i | ||||
\(93\) | 0.125791 | + | 0.185528i | 0.0130440 | + | 0.0192384i | ||||
\(94\) | −1.36982 | + | 3.43798i | −0.141286 | + | 0.354601i | ||||
\(95\) | 1.00917 | + | 0.466890i | 0.103538 | + | 0.0479019i | ||||
\(96\) | −0.856857 | − | 0.515554i | −0.0874526 | − | 0.0526185i | ||||
\(97\) | 7.68744 | − | 7.28193i | 0.780541 | − | 0.739368i | −0.189612 | − | 0.981859i | \(-0.560723\pi\) |
0.970154 | + | 0.242491i | \(0.0779645\pi\) | |||||||
\(98\) | 5.18461 | + | 3.94123i | 0.523724 | + | 0.398125i | ||||
\(99\) | −0.0748253 | − | 1.38007i | −0.00752023 | − | 0.138702i | ||||
\(100\) | −4.45588 | + | 2.06151i | −0.445588 | + | 0.206151i | ||||
\(101\) | −9.31499 | − | 1.01307i | −0.926876 | − | 0.100804i | −0.367786 | − | 0.929911i | \(-0.619884\pi\) |
−0.559090 | + | 0.829107i | \(0.688849\pi\) | |||||||
\(102\) | 4.62169 | + | 1.55723i | 0.457615 | + | 0.154188i | ||||
\(103\) | 2.61161 | + | 15.9301i | 0.257330 | + | 1.56964i | 0.726897 | + | 0.686747i | \(0.240962\pi\) |
−0.469567 | + | 0.882897i | \(0.655590\pi\) | |||||||
\(104\) | 2.77047 | + | 2.62432i | 0.271666 | + | 0.257336i | ||||
\(105\) | −0.0561402 | − | 0.202199i | −0.00547873 | − | 0.0197326i | ||||
\(106\) | −1.57066 | − | 2.96257i | −0.152556 | − | 0.287751i | ||||
\(107\) | −9.94798 | + | 3.35186i | −0.961707 | + | 0.324037i | −0.755996 | − | 0.654576i | \(-0.772847\pi\) |
−0.205711 | + | 0.978613i | \(0.565951\pi\) | |||||||
\(108\) | −0.976621 | + | 0.214970i | −0.0939754 | + | 0.0206855i | ||||
\(109\) | 1.13265 | − | 4.07943i | 0.108488 | − | 0.390739i | −0.889292 | − | 0.457341i | \(-0.848802\pi\) |
0.997780 | + | 0.0666019i | \(0.0212158\pi\) | |||||||
\(110\) | −0.355953 | + | 0.214170i | −0.0339388 | + | 0.0204203i | ||||
\(111\) | −4.39029 | + | 0.477473i | −0.416708 | + | 0.0453197i | ||||
\(112\) | 0.681845 | + | 0.150085i | 0.0644283 | + | 0.0141817i | ||||
\(113\) | 7.18468 | − | 13.5517i | 0.675878 | − | 1.27484i | −0.273852 | − | 0.961772i | \(-0.588298\pi\) |
0.949730 | − | 0.313069i | \(-0.101357\pi\) | |||||||
\(114\) | −0.598501 | + | 3.65070i | −0.0560548 | + | 0.341919i | ||||
\(115\) | 0.810867 | − | 0.616405i | 0.0756137 | − | 0.0574801i | ||||
\(116\) | 2.55869 | + | 3.01233i | 0.237569 | + | 0.279687i | ||||
\(117\) | 3.81609 | 0.352798 | ||||||||
\(118\) | 7.09492 | + | 2.94315i | 0.653140 | + | 0.270939i | ||||
\(119\) | −3.40495 | −0.312131 | ||||||||
\(120\) | 0.194585 | + | 0.229083i | 0.0177631 | + | 0.0209123i | ||||
\(121\) | −7.23633 | + | 5.50091i | −0.657848 | + | 0.500083i | ||||
\(122\) | −0.260579 | + | 1.58946i | −0.0235918 | + | 0.143903i | ||||
\(123\) | −2.84850 | + | 5.37284i | −0.256840 | + | 0.484452i | ||||
\(124\) | 0.218912 | + | 0.0481861i | 0.0196589 | + | 0.00432724i | ||||
\(125\) | 2.96108 | − | 0.322037i | 0.264847 | − | 0.0288039i | ||||
\(126\) | 0.598230 | − | 0.359943i | 0.0532945 | − | 0.0320663i | ||||
\(127\) | 2.02021 | − | 7.27615i | 0.179265 | − | 0.645653i | −0.818229 | − | 0.574893i | \(-0.805044\pi\) |
0.997493 | − | 0.0707604i | \(-0.0225426\pi\) | |||||||
\(128\) | −0.976621 | + | 0.214970i | −0.0863219 | + | 0.0190009i | ||||
\(129\) | 1.37218 | − | 0.462342i | 0.120814 | − | 0.0407070i | ||||
\(130\) | −0.537265 | − | 1.01339i | −0.0471213 | − | 0.0888801i | ||||
\(131\) | −1.06715 | − | 3.84354i | −0.0932377 | − | 0.335812i | 0.902189 | − | 0.431341i | \(-0.141959\pi\) |
−0.995427 | + | 0.0955293i | \(0.969546\pi\) | |||||||
\(132\) | −1.00340 | − | 0.950468i | −0.0873345 | − | 0.0827277i | ||||
\(133\) | −0.417854 | − | 2.54880i | −0.0362325 | − | 0.221009i | ||||
\(134\) | 1.54780 | + | 0.521515i | 0.133710 | + | 0.0450520i | ||||
\(135\) | 0.298808 | + | 0.0324973i | 0.0257173 | + | 0.00279692i | ||||
\(136\) | 4.42623 | − | 2.04779i | 0.379546 | − | 0.175597i | ||||
\(137\) | −0.315326 | − | 5.81585i | −0.0269402 | − | 0.496882i | −0.980603 | − | 0.196005i | \(-0.937203\pi\) |
0.953663 | − | 0.300877i | \(-0.0972795\pi\) | |||||||
\(138\) | 2.69777 | + | 2.05079i | 0.229649 | + | 0.174575i | ||||
\(139\) | 9.24845 | − | 8.76060i | 0.784444 | − | 0.743064i | −0.186479 | − | 0.982459i | \(-0.559708\pi\) |
0.970922 | + | 0.239395i | \(0.0769489\pi\) | |||||||
\(140\) | −0.179810 | − | 0.108188i | −0.0151967 | − | 0.00914354i | ||||
\(141\) | 3.35878 | + | 1.55394i | 0.282860 | + | 0.130865i | ||||
\(142\) | −2.51278 | + | 6.30661i | −0.210868 | + | 0.529239i | ||||
\(143\) | 2.95982 | + | 4.36541i | 0.247513 | + | 0.365054i | ||||
\(144\) | −0.561187 | + | 0.827689i | −0.0467656 | + | 0.0689741i | ||||
\(145\) | −0.439707 | − | 1.10358i | −0.0365157 | − | 0.0916475i | ||||
\(146\) | 0.245760 | − | 4.53278i | 0.0203393 | − | 0.375136i | ||||
\(147\) | 4.21614 | − | 4.96363i | 0.347742 | − | 0.409393i | ||||
\(148\) | −2.85897 | + | 3.36585i | −0.235006 | + | 0.276671i | ||||
\(149\) | 0.635626 | − | 11.7234i | 0.0520725 | − | 0.960422i | −0.849444 | − | 0.527678i | \(-0.823063\pi\) |
0.901517 | − | 0.432744i | \(-0.142454\pi\) | |||||||
\(150\) | 1.81725 | + | 4.56096i | 0.148378 | + | 0.372401i | ||||
\(151\) | 10.5275 | − | 15.5270i | 0.856720 | − | 1.26357i | −0.106354 | − | 0.994328i | \(-0.533918\pi\) |
0.963074 | − | 0.269239i | \(-0.0867720\pi\) | |||||||
\(152\) | 2.07607 | + | 3.06198i | 0.168392 | + | 0.248359i | ||||
\(153\) | 1.80516 | − | 4.53060i | 0.145938 | − | 0.366277i | ||||
\(154\) | 0.875752 | + | 0.405166i | 0.0705701 | + | 0.0326492i | ||||
\(155\) | −0.0577294 | − | 0.0347346i | −0.00463693 | − | 0.00278995i | ||||
\(156\) | 2.77047 | − | 2.62432i | 0.221815 | − | 0.210114i | ||||
\(157\) | 7.84280 | + | 5.96194i | 0.625923 | + | 0.475815i | 0.869411 | − | 0.494089i | \(-0.164498\pi\) |
−0.243488 | + | 0.969904i | \(0.578292\pi\) | |||||||
\(158\) | 0.585907 | + | 10.8064i | 0.0466123 | + | 0.859713i | ||||
\(159\) | −3.04326 | + | 1.40796i | −0.241346 | + | 0.111659i | ||||
\(160\) | 0.298808 | + | 0.0324973i | 0.0236228 | + | 0.00256914i | ||||
\(161\) | −2.24207 | − | 0.755442i | −0.176700 | − | 0.0595372i | ||||
\(162\) | 0.161782 | + | 0.986827i | 0.0127108 | + | 0.0775324i | ||||
\(163\) | 2.53053 | + | 2.39704i | 0.198206 | + | 0.187751i | 0.780365 | − | 0.625324i | \(-0.215033\pi\) |
−0.582159 | + | 0.813075i | \(0.697792\pi\) | |||||||
\(164\) | 1.62690 | + | 5.85957i | 0.127040 | + | 0.457555i | ||||
\(165\) | 0.194585 | + | 0.367026i | 0.0151484 | + | 0.0285729i | ||||
\(166\) | 7.06301 | − | 2.37981i | 0.548196 | − | 0.184709i | ||||
\(167\) | −5.37592 | + | 1.18333i | −0.416002 | + | 0.0915689i | −0.418039 | − | 0.908429i | \(-0.637282\pi\) |
0.00203752 | + | 0.999998i | \(0.499351\pi\) | |||||||
\(168\) | 0.186780 | − | 0.672719i | 0.0144104 | − | 0.0519014i | ||||
\(169\) | −1.33889 | + | 0.805581i | −0.102991 | + | 0.0619678i | ||||
\(170\) | −1.45728 | + | 0.158489i | −0.111768 | + | 0.0121555i | ||||
\(171\) | 3.61294 | + | 0.795268i | 0.276288 | + | 0.0608157i | ||||
\(172\) | 0.678246 | − | 1.27931i | 0.0517158 | − | 0.0975463i | ||||
\(173\) | −0.859232 | + | 5.24109i | −0.0653262 | + | 0.398472i | 0.933842 | + | 0.357687i | \(0.116434\pi\) |
−0.999168 | + | 0.0407857i | \(0.987014\pi\) | |||||||
\(174\) | 3.14643 | − | 2.39186i | 0.238530 | − | 0.181326i | ||||
\(175\) | −2.21909 | − | 2.61251i | −0.167747 | − | 0.197487i | ||||
\(176\) | −1.38210 | −0.104180 | ||||||||
\(177\) | 3.32295 | − | 6.92517i | 0.249768 | − | 0.520528i | ||||
\(178\) | 3.27501 | 0.245473 | ||||||||
\(179\) | 9.28078 | + | 10.9262i | 0.693678 | + | 0.816661i | 0.990389 | − | 0.138306i | \(-0.0441659\pi\) |
−0.296712 | + | 0.954967i | \(0.595890\pi\) | |||||||
\(180\) | 0.239281 | − | 0.181897i | 0.0178350 | − | 0.0135578i | ||||
\(181\) | 0.754642 | − | 4.60311i | 0.0560921 | − | 0.342147i | −0.943839 | − | 0.330406i | \(-0.892814\pi\) |
0.999931 | − | 0.0117408i | \(-0.00373730\pi\) | |||||||
\(182\) | −1.24797 | + | 2.35391i | −0.0925054 | + | 0.174484i | ||||
\(183\) | 1.57303 | + | 0.346249i | 0.116281 | + | 0.0255955i | ||||
\(184\) | 3.36889 | − | 0.366389i | 0.248358 | − | 0.0270106i | ||||
\(185\) | 1.13737 | − | 0.684330i | 0.0836208 | − | 0.0503130i | ||||
\(186\) | 0.0599671 | − | 0.215982i | 0.00439700 | − | 0.0158366i | ||||
\(187\) | 6.58288 | − | 1.44900i | 0.481388 | − | 0.105961i | ||||
\(188\) | 3.50710 | − | 1.18168i | 0.255782 | − | 0.0861829i | ||||
\(189\) | −0.327027 | − | 0.616839i | −0.0237877 | − | 0.0448685i | ||||
\(190\) | −0.297474 | − | 1.07141i | −0.0215811 | − | 0.0777279i | ||||
\(191\) | −10.3276 | − | 9.78281i | −0.747278 | − | 0.707859i | 0.215992 | − | 0.976395i | \(-0.430702\pi\) |
−0.963270 | + | 0.268536i | \(0.913460\pi\) | |||||||
\(192\) | 0.161782 | + | 0.986827i | 0.0116756 | + | 0.0712181i | ||||
\(193\) | 18.7261 | + | 6.30954i | 1.34793 | + | 0.454171i | 0.898433 | − | 0.439111i | \(-0.144706\pi\) |
0.449498 | + | 0.893281i | \(0.351603\pi\) | |||||||
\(194\) | −10.5268 | − | 1.14485i | −0.755777 | − | 0.0821957i | ||||
\(195\) | −1.04099 | + | 0.481613i | −0.0745468 | + | 0.0344890i | ||||
\(196\) | −0.352583 | − | 6.50301i | −0.0251845 | − | 0.464501i | ||||
\(197\) | 1.45090 | + | 1.10294i | 0.103372 | + | 0.0785816i | 0.655584 | − | 0.755123i | \(-0.272423\pi\) |
−0.552211 | + | 0.833704i | \(0.686216\pi\) | |||||||
\(198\) | −1.00340 | + | 0.950468i | −0.0713083 | + | 0.0675468i | ||||
\(199\) | −5.12568 | − | 3.08402i | −0.363349 | − | 0.218620i | 0.322158 | − | 0.946686i | \(-0.395592\pi\) |
−0.685507 | + | 0.728066i | \(0.740419\pi\) | |||||||
\(200\) | 4.45588 | + | 2.06151i | 0.315079 | + | 0.145771i | ||||
\(201\) | 0.604546 | − | 1.51730i | 0.0426414 | − | 0.107022i | ||||
\(202\) | 5.25827 | + | 7.75537i | 0.369971 | + | 0.545666i | ||||
\(203\) | −1.54854 | + | 2.28392i | −0.108686 | + | 0.160300i | ||||
\(204\) | −1.80516 | − | 4.53060i | −0.126386 | − | 0.317206i | ||||
\(205\) | 0.0989568 | − | 1.82515i | 0.00691144 | − | 0.127474i | ||||
\(206\) | 10.4506 | − | 12.3034i | 0.728130 | − | 0.857221i | ||||
\(207\) | 2.19384 | − | 2.58278i | 0.152482 | − | 0.179516i | ||||
\(208\) | 0.206599 | − | 3.81050i | 0.0143251 | − | 0.264210i | ||||
\(209\) | 1.89251 | + | 4.74984i | 0.130907 | + | 0.328553i | ||||
\(210\) | −0.117764 | + | 0.173689i | −0.00812648 | + | 0.0119857i | ||||
\(211\) | 11.8455 | + | 17.4707i | 0.815475 | + | 1.20274i | 0.976443 | + | 0.215776i | \(0.0692281\pi\) |
−0.160968 | + | 0.986960i | \(0.551462\pi\) | |||||||
\(212\) | −1.24114 | + | 3.11502i | −0.0852418 | + | 0.213941i | ||||
\(213\) | 6.16132 | + | 2.85053i | 0.422167 | + | 0.195315i | ||||
\(214\) | 8.99485 | + | 5.41202i | 0.614875 | + | 0.369958i | ||||
\(215\) | −0.315967 | + | 0.299300i | −0.0215488 | + | 0.0204121i | ||||
\(216\) | 0.796093 | + | 0.605174i | 0.0541673 | + | 0.0411769i | ||||
\(217\) | 0.00847251 | + | 0.156266i | 0.000575152 | + | 0.0106080i | ||||
\(218\) | −3.84245 | + | 1.77771i | −0.260244 | + | 0.120402i | ||||
\(219\) | −4.51283 | − | 0.490799i | −0.304949 | − | 0.0331652i | ||||
\(220\) | 0.393671 | + | 0.132643i | 0.0265413 | + | 0.00894280i | ||||
\(221\) | 3.01093 | + | 18.3658i | 0.202537 | + | 1.23542i | ||||
\(222\) | 3.20613 | + | 3.03700i | 0.215181 | + | 0.203830i | ||||
\(223\) | −0.834067 | − | 3.00404i | −0.0558533 | − | 0.201165i | 0.930359 | − | 0.366649i | \(-0.119495\pi\) |
−0.986212 | + | 0.165484i | \(0.947081\pi\) | |||||||
\(224\) | −0.327027 | − | 0.616839i | −0.0218504 | − | 0.0412143i | ||||
\(225\) | 4.65265 | − | 1.56766i | 0.310177 | − | 0.104511i | ||||
\(226\) | −14.9799 | + | 3.29732i | −0.996448 | + | 0.219335i | ||||
\(227\) | 0.410343 | − | 1.47792i | 0.0272354 | − | 0.0980930i | −0.948683 | − | 0.316228i | \(-0.897584\pi\) |
0.975919 | + | 0.218135i | \(0.0699973\pi\) | |||||||
\(228\) | 3.16988 | − | 1.90726i | 0.209931 | − | 0.126311i | ||||
\(229\) | −16.4332 | + | 1.78722i | −1.08594 | + | 0.118103i | −0.633537 | − | 0.773712i | \(-0.718398\pi\) |
−0.452400 | + | 0.891815i | \(0.649432\pi\) | |||||||
\(230\) | −0.994745 | − | 0.218960i | −0.0655915 | − | 0.0144378i | ||||
\(231\) | 0.451984 | − | 0.852532i | 0.0297384 | − | 0.0560925i | ||||
\(232\) | 0.639418 | − | 3.90028i | 0.0419798 | − | 0.256066i | ||||
\(233\) | −14.8072 | + | 11.2561i | −0.970050 | + | 0.737413i | −0.964912 | − | 0.262574i | \(-0.915429\pi\) |
−0.00513827 | + | 0.999987i | \(0.501636\pi\) | |||||||
\(234\) | −2.47049 | − | 2.90848i | −0.161501 | − | 0.190133i | ||||
\(235\) | −1.11236 | −0.0725621 | ||||||||
\(236\) | −2.34999 | − | 7.31283i | −0.152972 | − | 0.476025i | ||||
\(237\) | 10.8223 | 0.702984 | ||||||||
\(238\) | 2.20432 | + | 2.59512i | 0.142885 | + | 0.168217i | ||||
\(239\) | −21.2261 | + | 16.1356i | −1.37300 | + | 1.04373i | −0.380078 | + | 0.924955i | \(0.624103\pi\) |
−0.992922 | + | 0.118772i | \(0.962104\pi\) | |||||||
\(240\) | 0.0486267 | − | 0.296610i | 0.00313884 | − | 0.0191461i | ||||
\(241\) | −1.41029 | + | 2.66009i | −0.0908448 | + | 0.171351i | −0.924771 | − | 0.380525i | \(-0.875743\pi\) |
0.833926 | + | 0.551877i | \(0.186088\pi\) | |||||||
\(242\) | 8.87729 | + | 1.95404i | 0.570654 | + | 0.125610i | ||||
\(243\) | 0.994138 | − | 0.108119i | 0.0637740 | − | 0.00693584i | ||||
\(244\) | 1.38012 | − | 0.830394i | 0.0883534 | − | 0.0531605i | ||||
\(245\) | −0.523681 | + | 1.88613i | −0.0334567 | + | 0.120500i | ||||
\(246\) | 5.93905 | − | 1.30728i | 0.378660 | − | 0.0833494i | ||||
\(247\) | −13.3784 | + | 4.50770i | −0.851245 | + | 0.286818i | ||||
\(248\) | −0.104995 | − | 0.198041i | −0.00666718 | − | 0.0125756i | ||||
\(249\) | −1.99393 | − | 7.18149i | −0.126360 | − | 0.455109i | ||||
\(250\) | −2.16241 | − | 2.04834i | −0.136763 | − | 0.129548i | ||||
\(251\) | 0.0789541 | + | 0.481599i | 0.00498354 | + | 0.0303982i | 0.989201 | − | 0.146564i | \(-0.0468213\pi\) |
−0.984218 | + | 0.176962i | \(0.943373\pi\) | |||||||
\(252\) | −0.661620 | − | 0.222926i | −0.0416782 | − | 0.0140430i | ||||
\(253\) | 4.65614 | + | 0.506386i | 0.292729 | + | 0.0318362i | ||||
\(254\) | −6.85346 | + | 3.17075i | −0.430024 | + | 0.198950i | ||||
\(255\) | 0.0793607 | + | 1.46372i | 0.00496976 | + | 0.0916618i | ||||
\(256\) | 0.796093 | + | 0.605174i | 0.0497558 | + | 0.0378234i | ||||
\(257\) | 22.0575 | − | 20.8940i | 1.37591 | − | 1.30333i | 0.468270 | − | 0.883585i | \(-0.344877\pi\) |
0.907641 | − | 0.419747i | \(-0.137881\pi\) | |||||||
\(258\) | −1.24071 | − | 0.746512i | −0.0772434 | − | 0.0464758i | ||||
\(259\) | −2.79827 | − | 1.29462i | −0.173876 | − | 0.0804435i | ||||
\(260\) | −0.424549 | + | 1.06554i | −0.0263294 | + | 0.0660818i | ||||
\(261\) | −2.21800 | − | 3.27131i | −0.137291 | − | 0.202489i | ||||
\(262\) | −2.23854 | + | 3.30160i | −0.138297 | + | 0.203974i | ||||
\(263\) | −7.79692 | − | 19.5688i | −0.480779 | − | 1.20666i | −0.946780 | − | 0.321880i | \(-0.895685\pi\) |
0.466001 | − | 0.884784i | \(-0.345694\pi\) | |||||||
\(264\) | −0.0748253 | + | 1.38007i | −0.00460518 | + | 0.0849375i | ||||
\(265\) | 0.652477 | − | 0.768155i | 0.0400813 | − | 0.0471874i | ||||
\(266\) | −1.67208 | + | 1.96853i | −0.102522 | + | 0.120698i | ||||
\(267\) | 0.177306 | − | 3.27021i | 0.0108509 | − | 0.200134i | ||||
\(268\) | −0.604546 | − | 1.51730i | −0.0369285 | − | 0.0926836i | ||||
\(269\) | −8.48992 | + | 12.5217i | −0.517639 | + | 0.763461i | −0.993225 | − | 0.116209i | \(-0.962926\pi\) |
0.475586 | + | 0.879669i | \(0.342236\pi\) | |||||||
\(270\) | −0.168676 | − | 0.248778i | −0.0102653 | − | 0.0151402i | ||||
\(271\) | 6.44960 | − | 16.1873i | 0.391786 | − | 0.983308i | −0.592317 | − | 0.805705i | \(-0.701787\pi\) |
0.984102 | − | 0.177602i | \(-0.0568341\pi\) | |||||||
\(272\) | −4.42623 | − | 2.04779i | −0.268379 | − | 0.124166i | ||||
\(273\) | 2.28290 | + | 1.37357i | 0.138167 | + | 0.0831325i | ||||
\(274\) | −4.22849 | + | 4.00543i | −0.255452 | + | 0.241977i | ||||
\(275\) | 5.40199 | + | 4.10649i | 0.325752 | + | 0.247631i | ||||
\(276\) | −0.183464 | − | 3.38379i | −0.0110432 | − | 0.203680i | ||||
\(277\) | −9.03613 | + | 4.18056i | −0.542928 | + | 0.251185i | −0.672130 | − | 0.740433i | \(-0.734620\pi\) |
0.129202 | + | 0.991618i | \(0.458758\pi\) | |||||||
\(278\) | −12.6643 | − | 1.37733i | −0.759555 | − | 0.0826066i | ||||
\(279\) | −0.212419 | − | 0.0715722i | −0.0127172 | − | 0.00428491i | ||||
\(280\) | 0.0339496 | + | 0.207083i | 0.00202888 | + | 0.0123756i | ||||
\(281\) | −16.7807 | − | 15.8955i | −1.00105 | − | 0.948246i | −0.00239070 | − | 0.999997i | \(-0.500761\pi\) |
−0.998660 | + | 0.0517516i | \(0.983520\pi\) | |||||||
\(282\) | −0.990076 | − | 3.56593i | −0.0589582 | − | 0.212348i | ||||
\(283\) | 12.9362 | + | 24.4003i | 0.768979 | + | 1.45045i | 0.889112 | + | 0.457690i | \(0.151323\pi\) |
−0.120133 | + | 0.992758i | \(0.538332\pi\) | |||||||
\(284\) | 6.43340 | − | 2.16767i | 0.381752 | − | 0.128627i | ||||
\(285\) | −1.08594 | + | 0.239033i | −0.0643255 | + | 0.0141591i | ||||
\(286\) | 1.41100 | − | 5.08197i | 0.0834343 | − | 0.300503i | ||||
\(287\) | −3.63797 | + | 2.18889i | −0.214743 | + | 0.129206i | ||||
\(288\) | 0.994138 | − | 0.108119i | 0.0585801 | − | 0.00637097i | ||||
\(289\) | 6.62631 | + | 1.45856i | 0.389783 | + | 0.0857977i | ||||
\(290\) | −0.556448 | + | 1.04957i | −0.0326757 | + | 0.0616330i | ||||
\(291\) | −1.71308 | + | 10.4493i | −0.100423 | + | 0.612551i | ||||
\(292\) | −3.61381 | + | 2.74715i | −0.211482 | + | 0.160765i | ||||
\(293\) | 2.01659 | + | 2.37411i | 0.117810 | + | 0.138697i | 0.817906 | − | 0.575352i | \(-0.195135\pi\) |
−0.700095 | + | 0.714049i | \(0.746859\pi\) | |||||||
\(294\) | −6.51256 | −0.379820 | ||||||||
\(295\) | −0.0324676 | + | 2.30849i | −0.00189034 | + | 0.134406i | ||||
\(296\) | 4.41618 | 0.256685 | ||||||||
\(297\) | 0.894752 | + | 1.05338i | 0.0519188 | + | 0.0611235i | ||||
\(298\) | −9.34666 | + | 7.10514i | −0.541437 | + | 0.411590i | ||||
\(299\) | −2.09213 | + | 12.7615i | −0.120991 | + | 0.738014i | ||||
\(300\) | 2.29973 | − | 4.33774i | 0.132775 | − | 0.250440i | ||||
\(301\) | 0.987297 | + | 0.217321i | 0.0569069 | + | 0.0125261i | ||||
\(302\) | −18.6495 | + | 2.02825i | −1.07316 | + | 0.116713i | ||||
\(303\) | 8.02868 | − | 4.83069i | 0.461235 | − | 0.277516i | ||||
\(304\) | 0.989702 | − | 3.56459i | 0.0567633 | − | 0.204443i | ||||
\(305\) | −0.472804 | + | 0.104072i | −0.0270727 | + | 0.00595914i | ||||
\(306\) | −4.62169 | + | 1.55723i | −0.264204 | + | 0.0890208i | ||||
\(307\) | −2.45034 | − | 4.62183i | −0.139848 | − | 0.263782i | 0.803688 | − | 0.595051i | \(-0.202868\pi\) |
−0.943536 | + | 0.331269i | \(0.892523\pi\) | |||||||
\(308\) | −0.258148 | − | 0.929764i | −0.0147093 | − | 0.0529782i | ||||
\(309\) | −11.7196 | − | 11.1014i | −0.666705 | − | 0.631536i | ||||
\(310\) | 0.0108998 | + | 0.0664858i | 0.000619067 | + | 0.00377614i | ||||
\(311\) | 1.74740 | + | 0.588768i | 0.0990860 | + | 0.0333860i | 0.368408 | − | 0.929664i | \(-0.379903\pi\) |
−0.269322 | + | 0.963050i | \(0.586800\pi\) | |||||||
\(312\) | −3.79372 | − | 0.412592i | −0.214777 | − | 0.0233584i | ||||
\(313\) | −7.39199 | + | 3.41990i | −0.417820 | + | 0.193304i | −0.617524 | − | 0.786552i | \(-0.711864\pi\) |
0.199704 | + | 0.979856i | \(0.436002\pi\) | |||||||
\(314\) | −0.533355 | − | 9.83716i | −0.0300990 | − | 0.555143i | ||||
\(315\) | 0.167058 | + | 0.126995i | 0.00941268 | + | 0.00715533i | ||||
\(316\) | 7.85694 | − | 7.44249i | 0.441987 | − | 0.418673i | ||||
\(317\) | −0.244683 | − | 0.147221i | −0.0137428 | − | 0.00826875i | 0.508666 | − | 0.860964i | \(-0.330139\pi\) |
−0.522409 | + | 0.852695i | \(0.674966\pi\) | |||||||
\(318\) | 3.04326 | + | 1.40796i | 0.170658 | + | 0.0789546i | ||||
\(319\) | 2.02189 | − | 5.07456i | 0.113204 | − | 0.284121i | ||||
\(320\) | −0.168676 | − | 0.248778i | −0.00942926 | − | 0.0139071i | ||||
\(321\) | 5.89106 | − | 8.68866i | 0.328807 | − | 0.484954i | ||||
\(322\) | 0.875718 | + | 2.19789i | 0.0488018 | + | 0.122483i | ||||
\(323\) | −0.976777 | + | 18.0156i | −0.0543493 | + | 1.00241i | ||||
\(324\) | 0.647386 | − | 0.762162i | 0.0359659 | − | 0.0423423i | ||||
\(325\) | −12.1292 | + | 14.2796i | −0.672809 | + | 0.792092i | ||||
\(326\) | 0.188706 | − | 3.48048i | 0.0104515 | − | 0.192766i | ||||
\(327\) | 1.56707 | + | 3.93306i | 0.0866594 | + | 0.217499i | ||||
\(328\) | 3.41271 | − | 5.03336i | 0.188435 | − | 0.277921i | ||||
\(329\) | 1.44999 | + | 2.13858i | 0.0799407 | + | 0.117904i | ||||
\(330\) | 0.153762 | − | 0.385912i | 0.00846430 | − | 0.0212438i | ||||
\(331\) | −25.8177 | − | 11.9445i | −1.41907 | − | 0.656531i | −0.447717 | − | 0.894176i | \(-0.647763\pi\) |
−0.971352 | + | 0.237644i | \(0.923625\pi\) | |||||||
\(332\) | −6.38630 | − | 3.84251i | −0.350493 | − | 0.210885i | ||||
\(333\) | 3.20613 | − | 3.03700i | 0.175695 | − | 0.166427i | ||||
\(334\) | 4.38219 | + | 3.33125i | 0.239783 | + | 0.182278i | ||||
\(335\) | 0.0265779 | + | 0.490200i | 0.00145210 | + | 0.0267825i | ||||
\(336\) | −0.633639 | + | 0.293153i | −0.0345679 | + | 0.0159928i | ||||
\(337\) | −27.0069 | − | 2.93718i | −1.47116 | − | 0.159998i | −0.662848 | − | 0.748754i | \(-0.730653\pi\) |
−0.808311 | + | 0.588755i | \(0.799618\pi\) | |||||||
\(338\) | 1.48076 | + | 0.498926i | 0.0805428 | + | 0.0271380i | ||||
\(339\) | 2.48149 | + | 15.1364i | 0.134776 | + | 0.822098i | ||||
\(340\) | 1.06422 | + | 1.00808i | 0.0577152 | + | 0.0546708i | ||||
\(341\) | −0.0828804 | − | 0.298508i | −0.00448823 | − | 0.0161651i | ||||
\(342\) | −1.73284 | − | 3.26849i | −0.0937015 | − | 0.176740i | ||||
\(343\) | 8.94019 | − | 3.01230i | 0.482725 | − | 0.162649i | ||||
\(344\) | −1.41413 | + | 0.311273i | −0.0762446 | + | 0.0167827i | ||||
\(345\) | −0.272493 | + | 0.981431i | −0.0146705 | + | 0.0528385i | ||||
\(346\) | 4.55081 | − | 2.73813i | 0.244653 | − | 0.147203i | ||||
\(347\) | 3.17961 | − | 0.345804i | 0.170691 | − | 0.0185637i | −0.0223746 | − | 0.999750i | \(-0.507123\pi\) |
0.193065 | + | 0.981186i | \(0.438157\pi\) | |||||||
\(348\) | −3.85994 | − | 0.849637i | −0.206914 | − | 0.0455453i | ||||
\(349\) | 4.42520 | − | 8.34681i | 0.236875 | − | 0.446794i | −0.736365 | − | 0.676585i | \(-0.763459\pi\) |
0.973240 | + | 0.229790i | \(0.0738041\pi\) | |||||||
\(350\) | −0.554550 | + | 3.38261i | −0.0296420 | + | 0.180808i | ||||
\(351\) | −3.03796 | + | 2.30940i | −0.162155 | + | 0.123267i | ||||
\(352\) | 0.894752 | + | 1.05338i | 0.0476904 | + | 0.0561455i | ||||
\(353\) | −19.3797 | −1.03148 | −0.515740 | − | 0.856745i | \(-0.672483\pi\) | ||||
−0.515740 | + | 0.856745i | \(0.672483\pi\) | |||||||
\(354\) | −7.42933 | + | 1.95064i | −0.394865 | + | 0.103675i | ||||
\(355\) | −2.04050 | −0.108298 | ||||||||
\(356\) | −2.12020 | − | 2.49609i | −0.112370 | − | 0.132293i | ||||
\(357\) | 2.71066 | − | 2.06059i | 0.143463 | − | 0.109058i | ||||
\(358\) | 2.31927 | − | 14.1469i | 0.122577 | − | 0.747688i | ||||
\(359\) | 3.05653 | − | 5.76523i | 0.161318 | − | 0.304277i | −0.789656 | − | 0.613550i | \(-0.789741\pi\) |
0.950973 | + | 0.309273i | \(0.100086\pi\) | |||||||
\(360\) | −0.293542 | − | 0.0646136i | −0.0154710 | − | 0.00340543i | ||||
\(361\) | 5.28307 | − | 0.574568i | 0.278056 | − | 0.0302404i | ||||
\(362\) | −3.99686 | + | 2.40483i | −0.210070 | + | 0.126395i | ||||
\(363\) | 2.43178 | − | 8.75848i | 0.127635 | − | 0.459701i | ||||
\(364\) | 2.60198 | − | 0.572739i | 0.136381 | − | 0.0300197i | ||||
\(365\) | 1.29299 | − | 0.435660i | 0.0676784 | − | 0.0228035i | ||||
\(366\) | −0.754457 | − | 1.42306i | −0.0394361 | − | 0.0743844i | ||||
\(367\) | −8.28291 | − | 29.8323i | −0.432364 | − | 1.55723i | −0.783794 | − | 0.621021i | \(-0.786718\pi\) |
0.351430 | − | 0.936214i | \(-0.385696\pi\) | |||||||
\(368\) | −2.46022 | − | 2.33045i | −0.128248 | − | 0.121483i | ||||
\(369\) | −0.983833 | − | 6.00112i | −0.0512163 | − | 0.312406i | ||||
\(370\) | −1.25789 | − | 0.423831i | −0.0653944 | − | 0.0220339i | ||||
\(371\) | −2.32736 | − | 0.253115i | −0.120830 | − | 0.0131411i | ||||
\(372\) | −0.203435 | + | 0.0941191i | −0.0105476 | + | 0.00487985i | ||||
\(373\) | 1.35663 | + | 25.0216i | 0.0702437 | + | 1.29557i | 0.795019 | + | 0.606584i | \(0.207461\pi\) |
−0.724776 | + | 0.688985i | \(0.758057\pi\) | |||||||
\(374\) | −5.36604 | − | 4.07916i | −0.277471 | − | 0.210928i | ||||
\(375\) | −2.16241 | + | 2.04834i | −0.111666 | + | 0.105776i | ||||
\(376\) | −3.17108 | − | 1.90798i | −0.163536 | − | 0.0983963i | ||||
\(377\) | 13.6885 | + | 6.33298i | 0.704994 | + | 0.326165i | ||||
\(378\) | −0.258418 | + | 0.648581i | −0.0132916 | + | 0.0333594i | ||||
\(379\) | 5.21568 | + | 7.69255i | 0.267911 | + | 0.395140i | 0.937719 | − | 0.347395i | \(-0.112934\pi\) |
−0.669808 | + | 0.742535i | \(0.733623\pi\) | |||||||
\(380\) | −0.624004 | + | 0.920337i | −0.0320107 | + | 0.0472123i | ||||
\(381\) | 2.79506 | + | 7.01507i | 0.143195 | + | 0.359393i | ||||
\(382\) | −0.770148 | + | 14.2046i | −0.0394042 | + | 0.726768i | ||||
\(383\) | 13.8164 | − | 16.2659i | 0.705985 | − | 0.831149i | −0.285904 | − | 0.958258i | \(-0.592294\pi\) |
0.991889 | + | 0.127109i | \(0.0405698\pi\) | |||||||
\(384\) | 0.647386 | − | 0.762162i | 0.0330368 | − | 0.0388939i | ||||
\(385\) | −0.0157019 | + | 0.289605i | −0.000800244 | + | 0.0147596i | ||||
\(386\) | −7.31410 | − | 18.3570i | −0.372278 | − | 0.934347i | ||||
\(387\) | −0.812588 | + | 1.19848i | −0.0413062 | + | 0.0609220i | ||||
\(388\) | 5.94231 | + | 8.76426i | 0.301675 | + | 0.444938i | ||||
\(389\) | 10.5518 | − | 26.4829i | 0.534996 | − | 1.34274i | −0.374578 | − | 0.927195i | \(-0.622213\pi\) |
0.909574 | − | 0.415542i | \(-0.136408\pi\) | |||||||
\(390\) | 1.04099 | + | 0.481613i | 0.0527126 | + | 0.0243874i | ||||
\(391\) | 14.1612 | + | 8.52051i | 0.716163 | + | 0.430901i | ||||
\(392\) | −4.72809 | + | 4.47869i | −0.238805 | + | 0.226208i | ||||
\(393\) | 3.17557 | + | 2.41400i | 0.160186 | + | 0.121770i | ||||
\(394\) | −0.0986695 | − | 1.81985i | −0.00497090 | − | 0.0916828i | ||||
\(395\) | −2.95221 | + | 1.36584i | −0.148542 | + | 0.0687227i | ||||
\(396\) | 1.37400 | + | 0.149431i | 0.0690459 | + | 0.00750920i | ||||
\(397\) | −35.5315 | − | 11.9720i | −1.78327 | − | 0.600855i | −0.783486 | − | 0.621410i | \(-0.786560\pi\) |
−0.999789 | + | 0.0205549i | \(0.993457\pi\) | |||||||
\(398\) | 0.967771 | + | 5.90314i | 0.0485100 | + | 0.295898i | ||||
\(399\) | 1.87512 | + | 1.77620i | 0.0938732 | + | 0.0889214i | ||||
\(400\) | −1.31347 | − | 4.73070i | −0.0656736 | − | 0.236535i | ||||
\(401\) | −11.3475 | − | 21.4036i | −0.566666 | − | 1.06885i | −0.986885 | − | 0.161423i | \(-0.948392\pi\) |
0.420219 | − | 0.907423i | \(-0.361953\pi\) | |||||||
\(402\) | −1.54780 | + | 0.521515i | −0.0771973 | + | 0.0260108i | ||||
\(403\) | 0.835387 | − | 0.183883i | 0.0416136 | − | 0.00915985i | ||||
\(404\) | 2.50672 | − | 9.02838i | 0.124714 | − | 0.449179i | ||||
\(405\) | −0.257545 | + | 0.154960i | −0.0127975 | + | 0.00770001i | ||||
\(406\) | 2.74322 | − | 0.298343i | 0.136144 | − | 0.0148065i | ||||
\(407\) | 5.96090 | + | 1.31209i | 0.295471 | + | 0.0650380i | ||||
\(408\) | −2.28442 | + | 4.30887i | −0.113096 | + | 0.213321i | ||||
\(409\) | −2.09359 | + | 12.7703i | −0.103521 | + | 0.631453i | 0.883196 | + | 0.469005i | \(0.155387\pi\) |
−0.986717 | + | 0.162448i | \(0.948061\pi\) | |||||||
\(410\) | −1.45512 | + | 1.10616i | −0.0718635 | + | 0.0546292i | ||||
\(411\) | 3.77063 | + | 4.43913i | 0.185992 | + | 0.218966i | ||||
\(412\) | −16.1428 | −0.795299 | ||||||||
\(413\) | 4.48055 | − | 2.94677i | 0.220474 | − | 0.145001i | ||||
\(414\) | −3.38876 | −0.166548 | ||||||||
\(415\) | 1.45027 | + | 1.70739i | 0.0711910 | + | 0.0838125i | ||||
\(416\) | −3.03796 | + | 2.30940i | −0.148948 | + | 0.113228i | ||||
\(417\) | −2.06094 | + | 12.5712i | −0.100925 | + | 0.615613i | ||||
\(418\) | 2.39496 | − | 4.51738i | 0.117141 | − | 0.220952i | ||||
\(419\) | 16.5220 | + | 3.63677i | 0.807154 | + | 0.177668i | 0.599334 | − | 0.800499i | \(-0.295432\pi\) |
0.207820 | + | 0.978167i | \(0.433363\pi\) | |||||||
\(420\) | 0.208618 | − | 0.0226885i | 0.0101795 | − | 0.00110709i | ||||
\(421\) | −7.37008 | + | 4.43443i | −0.359196 | + | 0.216121i | −0.683700 | − | 0.729764i | \(-0.739630\pi\) |
0.324504 | + | 0.945884i | \(0.394803\pi\) | |||||||
\(422\) | 5.64695 | − | 20.3385i | 0.274889 | − | 0.990062i | ||||
\(423\) | −3.61430 | + | 0.795568i | −0.175733 | + | 0.0386819i | ||||
\(424\) | 3.17765 | − | 1.07067i | 0.154320 | − | 0.0519966i | ||||
\(425\) | 11.2157 | + | 21.1551i | 0.544042 | + | 1.02617i | ||||
\(426\) | −1.81619 | − | 6.54132i | −0.0879947 | − | 0.316928i | ||||
\(427\) | 0.816401 | + | 0.773336i | 0.0395084 | + | 0.0374243i | ||||
\(428\) | −1.69830 | − | 10.3592i | −0.0820907 | − | 0.500731i | ||||
\(429\) | −4.99813 | − | 1.68406i | −0.241312 | − | 0.0813074i | ||||
\(430\) | 0.432667 | + | 0.0470554i | 0.0208651 | + | 0.00226921i | ||||
\(431\) | 13.3927 | − | 6.19614i | 0.645105 | − | 0.298457i | −0.0699237 | − | 0.997552i | \(-0.522276\pi\) |
0.715029 | + | 0.699095i | \(0.246414\pi\) | |||||||
\(432\) | −0.0541389 | − | 0.998533i | −0.00260476 | − | 0.0480420i | ||||
\(433\) | 18.9795 | + | 14.4278i | 0.912096 | + | 0.693357i | 0.952082 | − | 0.305843i | \(-0.0989383\pi\) |
−0.0399863 | + | 0.999200i | \(0.512731\pi\) | |||||||
\(434\) | 0.113615 | − | 0.107622i | 0.00545371 | − | 0.00516603i | ||||
\(435\) | 1.01791 | + | 0.612454i | 0.0488049 | + | 0.0293649i | ||||
\(436\) | 3.84245 | + | 1.77771i | 0.184020 | + | 0.0851367i | ||||
\(437\) | −4.64023 | + | 11.6461i | −0.221972 | + | 0.557108i | ||||
\(438\) | 2.54747 | + | 3.75724i | 0.121723 | + | 0.179528i | ||||
\(439\) | 22.0091 | − | 32.4611i | 1.05044 | − | 1.54928i | 0.233672 | − | 0.972316i | \(-0.424926\pi\) |
0.816768 | − | 0.576967i | \(-0.195764\pi\) | |||||||
\(440\) | −0.153762 | − | 0.385912i | −0.00733030 | − | 0.0183977i | ||||
\(441\) | −0.352583 | + | 6.50301i | −0.0167897 | + | 0.309667i | ||||
\(442\) | 12.0485 | − | 14.1846i | 0.573089 | − | 0.674693i | ||||
\(443\) | −13.8131 | + | 16.2621i | −0.656282 | + | 0.772635i | −0.985142 | − | 0.171744i | \(-0.945060\pi\) |
0.328859 | + | 0.944379i | \(0.393336\pi\) | |||||||
\(444\) | 0.239087 | − | 4.40970i | 0.0113466 | − | 0.209275i | ||||
\(445\) | 0.364353 | + | 0.914457i | 0.0172720 | + | 0.0433494i | ||||
\(446\) | −1.74960 | + | 2.58047i | −0.0828460 | + | 0.122189i | ||||
\(447\) | 6.58871 | + | 9.71761i | 0.311635 | + | 0.459627i | ||||
\(448\) | −0.258418 | + | 0.648581i | −0.0122091 | + | 0.0306426i | ||||
\(449\) | 11.5998 | + | 5.36663i | 0.547428 | + | 0.253267i | 0.674052 | − | 0.738684i | \(-0.264552\pi\) |
−0.126625 | + | 0.991951i | \(0.540414\pi\) | |||||||
\(450\) | −4.20688 | − | 2.53119i | −0.198314 | − | 0.119322i | ||||
\(451\) | 6.10189 | − | 5.78001i | 0.287327 | − | 0.272170i | ||||
\(452\) | 12.2109 | + | 9.28246i | 0.574351 | + | 0.436610i | ||||
\(453\) | 1.01561 | + | 18.7319i | 0.0477177 | + | 0.880102i | ||||
\(454\) | −1.39206 | + | 0.644038i | −0.0653328 | + | 0.0302262i | ||||
\(455\) | −0.796104 | − | 0.0865816i | −0.0373219 | − | 0.00405901i | ||||
\(456\) | −3.50578 | − | 1.18123i | −0.164173 | − | 0.0553163i | ||||
\(457\) | 2.66782 | + | 16.2730i | 0.124796 | + | 0.761219i | 0.972872 | + | 0.231345i | \(0.0743126\pi\) |
−0.848076 | + | 0.529874i | \(0.822239\pi\) | |||||||
\(458\) | 12.0008 | + | 11.3678i | 0.560760 | + | 0.531180i | ||||
\(459\) | 1.30473 | + | 4.69921i | 0.0608996 | + | 0.219341i | ||||
\(460\) | 0.477101 | + | 0.899908i | 0.0222450 | + | 0.0419584i | ||||
\(461\) | 15.8671 | − | 5.34626i | 0.739006 | − | 0.249000i | 0.0754740 | − | 0.997148i | \(-0.475953\pi\) |
0.663532 | + | 0.748148i | \(0.269056\pi\) | |||||||
\(462\) | −0.942376 | + | 0.207433i | −0.0438433 | + | 0.00965064i | ||||
\(463\) | 4.17617 | − | 15.0412i | 0.194083 | − | 0.699023i | −0.800884 | − | 0.598820i | \(-0.795637\pi\) |
0.994967 | − | 0.100204i | \(-0.0319495\pi\) | |||||||
\(464\) | −3.38659 | + | 2.03765i | −0.157219 | + | 0.0945953i | ||||
\(465\) | 0.0669784 | − | 0.00728434i | 0.00310605 | − | 0.000337803i | ||||
\(466\) | 18.1649 | + | 3.99841i | 0.841475 | + | 0.185223i | ||||
\(467\) | 4.97240 | − | 9.37895i | 0.230095 | − | 0.434006i | −0.741400 | − | 0.671063i | \(-0.765838\pi\) |
0.971496 | + | 0.237057i | \(0.0761828\pi\) | |||||||
\(468\) | −0.617375 | + | 3.76582i | −0.0285382 | + | 0.174075i | ||||
\(469\) | 0.907797 | − | 0.690090i | 0.0419182 | − | 0.0318654i | ||||
\(470\) | 0.720124 | + | 0.847796i | 0.0332168 | + | 0.0391059i | ||||
\(471\) | −9.85161 | −0.453938 | ||||||||
\(472\) | −4.05221 | + | 6.52530i | −0.186518 | + | 0.300351i | ||||
\(473\) | −2.00125 | −0.0920176 | ||||||||
\(474\) | −7.00620 | − | 8.24834i | −0.321806 | − | 0.378859i | ||||
\(475\) | −14.4594 | + | 10.9917i | −0.663442 | + | 0.504336i | ||||
\(476\) | 0.550859 | − | 3.36009i | 0.0252486 | − | 0.154010i | ||||
\(477\) | 1.57066 | − | 2.96257i | 0.0719154 | − | 0.135647i | ||||
\(478\) | 26.0394 | + | 5.73171i | 1.19102 | + | 0.262162i | ||||
\(479\) | 4.30239 | − | 0.467913i | 0.196581 | − | 0.0213795i | −0.00929874 | − | 0.999957i | \(-0.502960\pi\) |
0.205880 | + | 0.978577i | \(0.433994\pi\) | |||||||
\(480\) | −0.257545 | + | 0.154960i | −0.0117553 | + | 0.00707291i | ||||
\(481\) | −4.50853 | + | 16.2383i | −0.205571 | + | 0.740402i | ||||
\(482\) | 2.94042 | − | 0.647236i | 0.133933 | − | 0.0294808i | ||||
\(483\) | 2.24207 | − | 0.755442i | 0.102018 | − | 0.0343738i | ||||
\(484\) | −4.25774 | − | 8.03095i | −0.193534 | − | 0.365043i | ||||
\(485\) | −0.851457 | − | 3.06667i | −0.0386627 | − | 0.139250i | ||||
\(486\) | −0.725995 | − | 0.687699i | −0.0329318 | − | 0.0311947i | ||||
\(487\) | −3.32077 | − | 20.2558i | −0.150479 | − | 0.917879i | −0.948853 | − | 0.315718i | \(-0.897755\pi\) |
0.798375 | − | 0.602161i | \(-0.205694\pi\) | |||||||
\(488\) | −1.52637 | − | 0.514293i | −0.0690954 | − | 0.0232810i | ||||
\(489\) | −3.46516 | − | 0.376859i | −0.156700 | − | 0.0170422i | ||||
\(490\) | 1.77656 | − | 0.821924i | 0.0802568 | − | 0.0371307i | ||||
\(491\) | 0.780394 | + | 14.3935i | 0.0352187 | + | 0.649571i | 0.961846 | + | 0.273590i | \(0.0882112\pi\) |
−0.926628 | + | 0.375980i | \(0.877306\pi\) | |||||||
\(492\) | −4.84122 | − | 3.68020i | −0.218259 | − | 0.165916i | ||||
\(493\) | 13.9939 | − | 13.2558i | 0.630255 | − | 0.597009i | ||||
\(494\) | 12.0966 | + | 7.27826i | 0.544250 | + | 0.327464i | ||||
\(495\) | −0.377022 | − | 0.174429i | −0.0169459 | − | 0.00784000i | ||||
\(496\) | −0.0829673 | + | 0.208232i | −0.00372534 | + | 0.00934991i | ||||
\(497\) | 2.65986 | + | 3.92300i | 0.119311 | + | 0.175970i | ||||
\(498\) | −4.18262 | + | 6.16890i | −0.187428 | + | 0.276435i | ||||
\(499\) | −10.4460 | − | 26.2174i | −0.467625 | − | 1.17365i | −0.953975 | − | 0.299886i | \(-0.903051\pi\) |
0.486350 | − | 0.873764i | \(-0.338328\pi\) | |||||||
\(500\) | −0.161255 | + | 2.97417i | −0.00721154 | + | 0.133009i | ||||
\(501\) | 3.56361 | − | 4.19541i | 0.159211 | − | 0.187437i | ||||
\(502\) | 0.315942 | − | 0.371956i | 0.0141012 | − | 0.0166012i | ||||
\(503\) | −0.977448 | + | 18.0280i | −0.0435823 | + | 0.803828i | 0.892284 | + | 0.451474i | \(0.149101\pi\) |
−0.935867 | + | 0.352354i | \(0.885381\pi\) | |||||||
\(504\) | 0.258418 | + | 0.648581i | 0.0115109 | + | 0.0288901i | ||||
\(505\) | −1.58048 | + | 2.33103i | −0.0703303 | + | 0.103729i | ||||
\(506\) | −2.62837 | − | 3.87656i | −0.116846 | − | 0.172334i | ||||
\(507\) | 0.578361 | − | 1.45158i | 0.0256859 | − | 0.0644668i | ||||
\(508\) | 6.85346 | + | 3.17075i | 0.304073 | + | 0.140679i | ||||
\(509\) | 25.3547 | + | 15.2554i | 1.12383 | + | 0.676185i | 0.951130 | − | 0.308789i | \(-0.0999238\pi\) |
0.172698 | + | 0.984975i | \(0.444751\pi\) | |||||||
\(510\) | 1.06422 | − | 1.00808i | 0.0471243 | − | 0.0446385i | ||||
\(511\) | −2.52305 | − | 1.91797i | −0.111613 | − | 0.0848460i | ||||
\(512\) | −0.0541389 | − | 0.998533i | −0.00239262 | − | 0.0441294i | ||||
\(513\) | −3.35751 | + | 1.55335i | −0.148238 | + | 0.0685821i | ||||
\(514\) | −30.2044 | − | 3.28492i | −1.33226 | − | 0.144892i | ||||
\(515\) | 4.59805 | + | 1.54926i | 0.202614 | + | 0.0682686i | ||||
\(516\) | 0.234257 | + | 1.42891i | 0.0103126 | + | 0.0629040i | ||||
\(517\) | −3.71340 | − | 3.51752i | −0.163315 | − | 0.154700i | ||||
\(518\) | 0.824852 | + | 2.97085i | 0.0362419 | + | 0.130532i | ||||
\(519\) | −2.48774 | − | 4.69238i | −0.109200 | − | 0.205972i | ||||
\(520\) | 1.08696 | − | 0.366239i | 0.0476663 | − | 0.0160607i | ||||
\(521\) | −6.59247 | + | 1.45111i | −0.288821 | + | 0.0635744i | −0.357018 | − | 0.934097i | \(-0.616207\pi\) |
0.0681966 | + | 0.997672i | \(0.478276\pi\) | |||||||
\(522\) | −1.05736 | + | 3.80828i | −0.0462796 | + | 0.166684i | ||||
\(523\) | −24.8169 | + | 14.9318i | −1.08517 | + | 0.652923i | −0.941605 | − | 0.336718i | \(-0.890683\pi\) |
−0.143561 | + | 0.989641i | \(0.545855\pi\) | |||||||
\(524\) | 3.96555 | − | 0.431280i | 0.173236 | − | 0.0188406i | ||||
\(525\) | 3.34762 | + | 0.736868i | 0.146102 | + | 0.0321595i | ||||
\(526\) | −9.86698 | + | 18.6111i | −0.430221 | + | 0.811482i | ||||
\(527\) | 0.176858 | − | 1.07879i | 0.00770405 | − | 0.0469926i | ||||
\(528\) | 1.10028 | − | 0.836410i | 0.0478835 | − | 0.0364001i | ||||
\(529\) | −7.45550 | − | 8.77730i | −0.324152 | − | 0.381622i | ||||
\(530\) | −1.00786 | −0.0437788 | ||||||||
\(531\) | 1.54556 | + | 7.52404i | 0.0670716 | + | 0.326516i | ||||
\(532\) | 2.58282 | 0.111979 | ||||||||
\(533\) | 15.0236 | + | 17.6871i | 0.650744 | + | 0.766115i | ||||
\(534\) | −2.60722 | + | 1.98195i | −0.112825 | + | 0.0857676i | ||||
\(535\) | −0.510459 | + | 3.11366i | −0.0220691 | + | 0.134615i | ||||
\(536\) | −0.765051 | + | 1.44304i | −0.0330452 | + | 0.0623298i | ||||
\(537\) | −14.0006 | − | 3.08177i | −0.604171 | − | 0.132988i | ||||
\(538\) | 15.0398 | − | 1.63568i | 0.648412 | − | 0.0705191i | ||||
\(539\) | −7.71257 | + | 4.64050i | −0.332204 | + | 0.199881i | ||||
\(540\) | −0.0804109 | + | 0.289614i | −0.00346033 | + | 0.0124630i | ||||
\(541\) | −37.3663 | + | 8.22495i | −1.60650 | + | 0.353618i | −0.925525 | − | 0.378686i | \(-0.876376\pi\) |
−0.680978 | + | 0.732304i | \(0.738445\pi\) | |||||||
\(542\) | −16.5127 | + | 5.56378i | −0.709282 | + | 0.238985i | ||||
\(543\) | 2.18492 | + | 4.12119i | 0.0937638 | + | 0.176857i | ||||
\(544\) | 1.30473 | + | 4.69921i | 0.0559399 | + | 0.201477i | ||||
\(545\) | −0.923857 | − | 0.875123i | −0.0395737 | − | 0.0374862i | ||||
\(546\) | −0.431031 | − | 2.62917i | −0.0184464 | − | 0.112518i | ||||
\(547\) | 20.8992 | + | 7.04176i | 0.893585 | + | 0.301084i | 0.728378 | − | 0.685175i | \(-0.240274\pi\) |
0.165207 | + | 0.986259i | \(0.447171\pi\) | |||||||
\(548\) | 5.79025 | + | 0.629728i | 0.247347 | + | 0.0269006i | ||||
\(549\) | −1.46182 | + | 0.676308i | −0.0623888 | + | 0.0288641i | ||||
\(550\) | −0.367367 | − | 6.77568i | −0.0156646 | − | 0.288916i | ||||
\(551\) | 11.6400 | + | 8.84850i | 0.495881 | + | 0.376959i | ||||
\(552\) | −2.46022 | + | 2.33045i | −0.104714 | + | 0.0991904i | ||||
\(553\) | 6.47422 | + | 3.89541i | 0.275312 | + | 0.165650i | ||||
\(554\) | 9.03613 | + | 4.18056i | 0.383908 | + | 0.177615i | ||||
\(555\) | −0.491310 | + | 1.23310i | −0.0208550 | + | 0.0523420i | ||||
\(556\) | 7.14896 | + | 10.5439i | 0.303183 | + | 0.447162i | ||||
\(557\) | 14.7240 | − | 21.7162i | 0.623874 | − | 0.920145i | −0.376105 | − | 0.926577i | \(-0.622737\pi\) |
0.999979 | + | 0.00643177i | \(0.00204731\pi\) | |||||||
\(558\) | 0.0829673 | + | 0.208232i | 0.00351229 | + | 0.00881518i | ||||
\(559\) | 0.299151 | − | 5.51752i | 0.0126528 | − | 0.233366i | ||||
\(560\) | 0.135853 | − | 0.159938i | 0.00574082 | − | 0.00675862i | ||||
\(561\) | −4.36369 | + | 5.13733i | −0.184235 | + | 0.216898i | ||||
\(562\) | −1.25137 | + | 23.0801i | −0.0527857 | + | 0.973576i | ||||
\(563\) | 6.34267 | + | 15.9189i | 0.267312 | + | 0.670901i | 0.999953 | − | 0.00971362i | \(-0.00309199\pi\) |
−0.732641 | + | 0.680615i | \(0.761713\pi\) | |||||||
\(564\) | −2.07686 | + | 3.06313i | −0.0874514 | + | 0.128981i | ||||
\(565\) | −2.58723 | − | 3.81588i | −0.108846 | − | 0.160535i | ||||
\(566\) | 10.2223 | − | 25.6559i | 0.429674 | − | 1.07840i | ||||
\(567\) | 0.633639 | + | 0.293153i | 0.0266104 | + | 0.0123113i | ||||
\(568\) | −5.81701 | − | 3.49998i | −0.244076 | − | 0.146856i | ||||
\(569\) | 22.5765 | − | 21.3856i | 0.946455 | − | 0.896530i | −0.0482984 | − | 0.998833i | \(-0.515380\pi\) |
0.994753 | + | 0.102303i | \(0.0326212\pi\) | |||||||
\(570\) | 0.885204 | + | 0.672915i | 0.0370771 | + | 0.0281853i | ||||
\(571\) | 0.466502 | + | 8.60412i | 0.0195225 | + | 0.360071i | 0.991930 | + | 0.126784i | \(0.0404655\pi\) |
−0.972408 | + | 0.233287i | \(0.925052\pi\) | |||||||
\(572\) | −4.78675 | + | 2.21459i | −0.200144 | + | 0.0925965i | ||||
\(573\) | 14.1420 | + | 1.53804i | 0.590792 | + | 0.0642525i | ||||
\(574\) | 4.02346 | + | 1.35566i | 0.167936 | + | 0.0565843i | ||||
\(575\) | 2.69167 | + | 16.4185i | 0.112250 | + | 0.684698i | ||||
\(576\) | −0.725995 | − | 0.687699i | −0.0302498 | − | 0.0286541i | ||||
\(577\) | −2.99344 | − | 10.7814i | −0.124619 | − | 0.448836i | 0.874742 | − | 0.484589i | \(-0.161031\pi\) |
−0.999361 | + | 0.0357533i | \(0.988617\pi\) | |||||||
\(578\) | −3.17812 | − | 5.99458i | −0.132192 | − | 0.249341i | ||||
\(579\) | −18.7261 | + | 6.30954i | −0.778228 | + | 0.262216i | ||||
\(580\) | 1.16018 | − | 0.255375i | 0.0481739 | − | 0.0106039i | ||||
\(581\) | 1.39210 | − | 5.01388i | 0.0577540 | − | 0.208011i | ||||
\(582\) | 9.07311 | − | 5.45911i | 0.376093 | − | 0.226287i | ||||
\(583\) | 4.60726 | − | 0.501069i | 0.190813 | − | 0.0207522i | ||||
\(584\) | 4.43331 | + | 0.975845i | 0.183452 | + | 0.0403807i | ||||
\(585\) | 0.537265 | − | 1.01339i | 0.0222132 | − | 0.0418985i | ||||
\(586\) | 0.503945 | − | 3.07393i | 0.0208178 | − | 0.126983i | ||||
\(587\) | 32.7931 | − | 24.9287i | 1.35352 | − | 1.02892i | 0.358061 | − | 0.933698i | \(-0.383438\pi\) |
0.995456 | − | 0.0952191i | \(-0.0303552\pi\) | |||||||
\(588\) | 4.21614 | + | 4.96363i | 0.173871 | + | 0.204697i | ||||
\(589\) | 0.829236 | 0.0341681 | ||||||||
\(590\) | 1.78046 | − | 1.46974i | 0.0733005 | − | 0.0605082i | ||||
\(591\) | −1.82252 | −0.0749686 | ||||||||
\(592\) | −2.85897 | − | 3.36585i | −0.117503 | − | 0.138335i | ||||
\(593\) | −27.0905 | + | 20.5937i | −1.11247 | + | 0.845681i | −0.989183 | − | 0.146689i | \(-0.953138\pi\) |
−0.123292 | + | 0.992370i | \(0.539345\pi\) | |||||||
\(594\) | 0.223599 | − | 1.36389i | 0.00917436 | − | 0.0559611i | ||||
\(595\) | −0.479380 | + | 0.904207i | −0.0196527 | + | 0.0370689i | ||||
\(596\) | 11.4662 | + | 2.52389i | 0.469673 | + | 0.103383i | ||||
\(597\) | 5.94688 | − | 0.646762i | 0.243390 | − | 0.0264702i | ||||
\(598\) | 11.0807 | − | 6.66705i | 0.453124 | − | 0.272636i | ||||
\(599\) | 10.5541 | − | 38.0123i | 0.431227 | − | 1.55314i | −0.354797 | − | 0.934943i | \(-0.615450\pi\) |
0.786024 | − | 0.618196i | \(-0.212136\pi\) | |||||||
\(600\) | −4.79487 | + | 1.05543i | −0.195750 | + | 0.0430878i | ||||
\(601\) | −17.6019 | + | 5.93076i | −0.717995 | + | 0.241921i | −0.654501 | − | 0.756061i | \(-0.727121\pi\) |
−0.0634947 | + | 0.997982i | \(0.520225\pi\) | |||||||
\(602\) | −0.473529 | − | 0.893171i | −0.0192996 | − | 0.0364029i | ||||
\(603\) | 0.436954 | + | 1.57376i | 0.0177941 | + | 0.0640887i | ||||
\(604\) | 13.6193 | + | 12.9008i | 0.554160 | + | 0.524928i | ||||
\(605\) | 0.442008 | + | 2.69613i | 0.0179702 | + | 0.109613i | ||||
\(606\) | −8.87943 | − | 2.99183i | −0.360702 | − | 0.121535i | ||||
\(607\) | 8.95047 | + | 0.973422i | 0.363288 | + | 0.0395100i | 0.287943 | − | 0.957648i | \(-0.407029\pi\) |
0.0753453 | + | 0.997158i | \(0.475994\pi\) | |||||||
\(608\) | −3.35751 | + | 1.55335i | −0.136165 | + | 0.0629967i | ||||
\(609\) | −0.149391 | − | 2.75535i | −0.00605362 | − | 0.111652i | ||||
\(610\) | 0.385406 | + | 0.292978i | 0.0156046 | + | 0.0118623i | ||||
\(611\) | 10.2530 | − | 9.71217i | 0.414793 | − | 0.392912i | ||||
\(612\) | 4.17888 | + | 2.51435i | 0.168921 | + | 0.101636i | ||||
\(613\) | −30.3874 | − | 14.0587i | −1.22734 | − | 0.567826i | −0.304314 | − | 0.952572i | \(-0.598427\pi\) |
−0.923023 | + | 0.384746i | \(0.874289\pi\) | |||||||
\(614\) | −1.93627 | + | 4.85967i | −0.0781414 | + | 0.196120i | ||||
\(615\) | 1.02576 | + | 1.51288i | 0.0413625 | + | 0.0610051i | ||||
\(616\) | −0.541510 | + | 0.798667i | −0.0218180 | + | 0.0321792i | ||||
\(617\) | −18.0012 | − | 45.1795i | −0.724699 | − | 1.81886i | −0.551919 | − | 0.833898i | \(-0.686104\pi\) |
−0.172780 | − | 0.984960i | \(-0.555275\pi\) | |||||||
\(618\) | −0.873954 | + | 16.1191i | −0.0351556 | + | 0.648406i | ||||
\(619\) | 23.9305 | − | 28.1732i | 0.961849 | − | 1.13238i | −0.0292928 | − | 0.999571i | \(-0.509326\pi\) |
0.991142 | − | 0.132806i | \(-0.0423986\pi\) | |||||||
\(620\) | 0.0436166 | − | 0.0513494i | 0.00175168 | − | 0.00206224i | ||||
\(621\) | −0.183464 | + | 3.38379i | −0.00736215 | + | 0.135787i | ||||
\(622\) | −0.682507 | − | 1.71296i | −0.0273660 | − | 0.0686836i | ||||
\(623\) | 1.28316 | − | 1.89252i | 0.0514087 | − | 0.0758221i | ||||
\(624\) | 2.14154 | + | 3.15854i | 0.0857303 | + | 0.126443i | ||||
\(625\) | −8.75489 | + | 21.9731i | −0.350196 | + | 0.878925i | ||||
\(626\) | 7.39199 | + | 3.41990i | 0.295443 | + | 0.136687i | ||||
\(627\) | −4.38109 | − | 2.63601i | −0.174964 | − | 0.105272i | ||||
\(628\) | −7.15222 | + | 6.77495i | −0.285405 | + | 0.270350i | ||||
\(629\) | 17.1460 | + | 13.0340i | 0.683654 | + | 0.519700i | ||||
\(630\) | −0.0113609 | − | 0.209540i | −0.000452630 | − | 0.00834828i | ||||
\(631\) | −1.25424 | + | 0.580271i | −0.0499303 | + | 0.0231002i | −0.444695 | − | 0.895682i | \(-0.646688\pi\) |
0.394765 | + | 0.918782i | \(0.370826\pi\) | |||||||
\(632\) | −10.7589 | − | 1.17010i | −0.427964 | − | 0.0465439i | ||||
\(633\) | −20.0029 | − | 6.73977i | −0.795045 | − | 0.267882i | ||||
\(634\) | 0.0461983 | + | 0.281797i | 0.00183477 | + | 0.0111916i | ||||
\(635\) | −1.64781 | − | 1.56088i | −0.0653912 | − | 0.0619418i | ||||
\(636\) | −0.897070 | − | 3.23096i | −0.0355711 | − | 0.128116i | ||||
\(637\) | −11.6411 | − | 21.9575i | −0.461239 | − | 0.869988i | ||||
\(638\) | −5.17658 | + | 1.74419i | −0.204943 | + | 0.0690533i | ||||
\(639\) | −6.63006 | + | 1.45939i | −0.262281 | + | 0.0577324i | ||||
\(640\) | −0.0804109 | + | 0.289614i | −0.00317852 | + | 0.0114480i | ||||
\(641\) | 5.55968 | − | 3.34515i | 0.219594 | − | 0.132125i | −0.401507 | − | 0.915856i | \(-0.631513\pi\) |
0.621101 | + | 0.783731i | \(0.286686\pi\) | |||||||
\(642\) | −10.4360 | + | 1.13498i | −0.411874 | + | 0.0447940i | ||||
\(643\) | 36.3577 | + | 8.00294i | 1.43381 | + | 0.315605i | 0.862886 | − | 0.505399i | \(-0.168655\pi\) |
0.570922 | + | 0.821004i | \(0.306586\pi\) | |||||||
\(644\) | 1.10822 | − | 2.09032i | 0.0436699 | − | 0.0823701i | ||||
\(645\) | 0.0704106 | − | 0.429485i | 0.00277241 | − | 0.0169110i | ||||
\(646\) | 14.3631 | − | 10.9186i | 0.565110 | − | 0.429586i | ||||
\(647\) | 0.700391 | + | 0.824564i | 0.0275352 | + | 0.0324170i | 0.775757 | − | 0.631031i | \(-0.217368\pi\) |
−0.748222 | + | 0.663448i | \(0.769092\pi\) | |||||||
\(648\) | −1.00000 | −0.0392837 | ||||||||
\(649\) | −7.40835 | + | 7.60381i | −0.290803 | + | 0.298476i | ||||
\(650\) | 18.7357 | 0.734875 | ||||||||
\(651\) | −0.101313 | − | 0.119275i | −0.00397078 | − | 0.00467476i | ||||
\(652\) | −2.77486 | + | 2.10939i | −0.108672 | + | 0.0826102i | ||||
\(653\) | 3.12193 | − | 19.0429i | 0.122170 | − | 0.745207i | −0.852694 | − | 0.522410i | \(-0.825033\pi\) |
0.974865 | − | 0.222797i | \(-0.0715187\pi\) | |||||||
\(654\) | 1.98313 | − | 3.74057i | 0.0775464 | − | 0.146268i | ||||
\(655\) | −1.17092 | − | 0.257740i | −0.0457517 | − | 0.0100707i | ||||
\(656\) | −6.04558 | + | 0.657496i | −0.236040 | + | 0.0256709i | ||||
\(657\) | 3.88965 | − | 2.34032i | 0.151750 | − | 0.0913047i | ||||
\(658\) | 0.691239 | − | 2.48962i | 0.0269473 | − | 0.0970554i | ||||
\(659\) | −11.8870 | + | 2.61653i | −0.463052 | + | 0.101925i | −0.440368 | − | 0.897817i | \(-0.645152\pi\) |
−0.0226836 | + | 0.999743i | \(0.507221\pi\) | |||||||
\(660\) | −0.393671 | + | 0.132643i | −0.0153236 | + | 0.00516313i | ||||
\(661\) | −15.7153 | − | 29.6422i | −0.611254 | − | 1.15295i | −0.975158 | − | 0.221511i | \(-0.928901\pi\) |
0.363903 | − | 0.931437i | \(-0.381444\pi\) | |||||||
\(662\) | 7.61035 | + | 27.4100i | 0.295785 | + | 1.06532i | ||||
\(663\) | −13.5115 | − | 12.7988i | −0.524743 | − | 0.497063i | ||||
\(664\) | 1.20579 | + | 7.35498i | 0.0467936 | + | 0.285428i | ||||
\(665\) | −0.735680 | − | 0.247879i | −0.0285284 | − | 0.00961235i | ||||
\(666\) | −4.39029 | − | 0.477473i | −0.170120 | − | 0.0185017i | ||||
\(667\) | 12.1556 | − | 5.62380i | 0.470669 | − | 0.217754i | ||||
\(668\) | −0.298014 | − | 5.49655i | −0.0115305 | − | 0.212668i | ||||
\(669\) | 2.48196 | + | 1.88674i | 0.0959582 | + | 0.0729455i | ||||
\(670\) | 0.356406 | − | 0.337605i | 0.0137691 | − | 0.0130428i | ||||
\(671\) | −1.90747 | − | 1.14769i | −0.0736370 | − | 0.0443059i | ||||
\(672\) | 0.633639 | + | 0.293153i | 0.0244432 | + | 0.0113086i | ||||
\(673\) | −3.76954 | + | 9.46084i | −0.145305 | + | 0.364689i | −0.983558 | − | 0.180594i | \(-0.942198\pi\) |
0.838253 | + | 0.545282i | \(0.183577\pi\) | |||||||
\(674\) | 15.2453 | + | 22.4851i | 0.587227 | + | 0.866095i | ||||
\(675\) | −2.75524 | + | 4.06367i | −0.106049 | + | 0.156411i | ||||
\(676\) | −0.578361 | − | 1.45158i | −0.0222447 | − | 0.0558299i | ||||
\(677\) | −1.03120 | + | 19.0194i | −0.0396322 | + | 0.730974i | 0.909425 | + | 0.415869i | \(0.136522\pi\) |
−0.949057 | + | 0.315105i | \(0.897960\pi\) | |||||||
\(678\) | 9.92993 | − | 11.6904i | 0.381357 | − | 0.448968i | ||||
\(679\) | −4.78598 | + | 5.63449i | −0.183669 | + | 0.216232i | ||||
\(680\) | 0.0793607 | − | 1.46372i | 0.00304334 | − | 0.0561312i | ||||
\(681\) | 0.567728 | + | 1.42489i | 0.0217554 | + | 0.0546019i | ||||
\(682\) | −0.173856 | + | 0.256419i | −0.00665729 | + | 0.00981877i | ||||
\(683\) | −11.9419 | − | 17.6129i | −0.456942 | − | 0.673939i | 0.527519 | − | 0.849543i | \(-0.323122\pi\) |
−0.984461 | + | 0.175604i | \(0.943812\pi\) | |||||||
\(684\) | −1.36930 | + | 3.43668i | −0.0523565 | + | 0.131405i | ||||
\(685\) | −1.58883 | − | 0.735073i | −0.0607062 | − | 0.0280857i | ||||
\(686\) | −8.08362 | − | 4.86375i | −0.308634 | − | 0.185699i | ||||
\(687\) | 12.0008 | − | 11.3678i | 0.457859 | − | 0.433707i | ||||
\(688\) | 1.15273 | + | 0.876280i | 0.0439473 | + | 0.0334079i | ||||
\(689\) | 0.692763 | + | 12.7773i | 0.0263922 | + | 0.486775i | ||||
\(690\) | 0.924418 | − | 0.427681i | 0.0351920 | − | 0.0162816i | ||||
\(691\) | −6.84119 | − | 0.744024i | −0.260251 | − | 0.0283040i | −0.0229368 | − | 0.999737i | \(-0.507302\pi\) |
−0.237314 | + | 0.971433i | \(0.576267\pi\) | |||||||
\(692\) | −5.03303 | − | 1.69583i | −0.191327 | − | 0.0644657i | ||||
\(693\) | 0.156109 | + | 0.952224i | 0.00593010 | + | 0.0361720i | ||||
\(694\) | −2.32200 | − | 2.19951i | −0.0881418 | − | 0.0834923i | ||||
\(695\) | −1.02435 | − | 3.68939i | −0.0388560 | − | 0.139946i | ||||
\(696\) | 1.85131 | + | 3.49194i | 0.0701738 | + | 0.132362i | ||||
\(697\) | 28.1055 | − | 9.46985i | 1.06457 | − | 0.358696i | ||||
\(698\) | −9.22643 | + | 2.03089i | −0.349226 | + | 0.0768704i | ||||
\(699\) | 4.97597 | − | 17.9218i | 0.188209 | − | 0.677866i | ||||
\(700\) | 2.93710 | − | 1.76720i | 0.111012 | − | 0.0667937i | ||||
\(701\) | −45.3329 | + | 4.93024i | −1.71220 | + | 0.186213i | −0.911062 | − | 0.412269i | \(-0.864736\pi\) |
−0.801136 | + | 0.598482i | \(0.795771\pi\) | |||||||
\(702\) | 3.72687 | + | 0.820347i | 0.140662 | + | 0.0309620i | ||||
\(703\) | −7.65255 | + | 14.4342i | −0.288621 | + | 0.544398i | ||||
\(704\) | 0.223599 | − | 1.36389i | 0.00842719 | − | 0.0514036i | ||||
\(705\) | 0.885539 | − | 0.673169i | 0.0333513 | − | 0.0253530i | ||||
\(706\) | 12.5462 | + | 14.7705i | 0.472181 | + | 0.555895i | ||||
\(707\) | 6.54177 | 0.246028 | ||||||||
\(708\) | 6.29635 | + | 4.39954i | 0.236631 | + | 0.165345i | ||||
\(709\) | −31.4576 | −1.18141 | −0.590707 | − | 0.806886i | \(-0.701151\pi\) | ||||
−0.590707 | + | 0.806886i | \(0.701151\pi\) | |||||||
\(710\) | 1.32099 | + | 1.55519i | 0.0495759 | + | 0.0583653i | ||||
\(711\) | −8.61555 | + | 6.54937i | −0.323108 | + | 0.245621i | ||||
\(712\) | −0.529838 | + | 3.23187i | −0.0198565 | + | 0.121119i | ||||
\(713\) | 0.355802 | − | 0.671114i | 0.0133249 | − | 0.0251334i | ||||
\(714\) | −3.32534 | − | 0.731963i | −0.124448 | − | 0.0273930i | ||||
\(715\) | 1.57598 | − | 0.171398i | 0.0589381 | − | 0.00640991i | ||||
\(716\) | −12.2837 | + | 7.39086i | −0.459064 | + | 0.276209i | ||||
\(717\) | 7.13305 | − | 25.6909i | 0.266389 | − | 0.959445i | ||||
\(718\) | −6.37280 | + | 1.40276i | −0.237831 | + | 0.0523505i | ||||
\(719\) | 19.4938 | − | 6.56824i | 0.726997 | − | 0.244954i | 0.0686210 | − | 0.997643i | \(-0.478140\pi\) |
0.658376 | + | 0.752689i | \(0.271244\pi\) | |||||||
\(720\) | 0.140789 | + | 0.265557i | 0.00524691 | + | 0.00989672i | ||||
\(721\) | −3.01514 | − | 10.8596i | −0.112290 | − | 0.404431i | ||||
\(722\) | −3.85810 | − | 3.65459i | −0.143584 | − | 0.136010i | ||||
\(723\) | −0.487095 | − | 2.97115i | −0.0181153 | − | 0.110498i | ||||
\(724\) | 4.42038 | + | 1.48940i | 0.164282 | + | 0.0553531i | ||||
\(725\) | 19.2909 | + | 2.09801i | 0.716446 | + | 0.0779182i | ||||
\(726\) | −8.24968 | + | 3.81671i | −0.306174 | + | 0.141651i | ||||
\(727\) | 0.0563703 | + | 1.03969i | 0.00209066 | + | 0.0385599i | 0.999393 | − | 0.0348489i | \(-0.0110950\pi\) |
−0.997302 | + | 0.0734088i | \(0.976612\pi\) | |||||||
\(728\) | −2.12101 | − | 1.61235i | −0.0786098 | − | 0.0597576i | ||||
\(729\) | −0.725995 | + | 0.687699i | −0.0268887 | + | 0.0254704i | ||||
\(730\) | −1.16911 | − | 0.703430i | −0.0432707 | − | 0.0260351i | ||||
\(731\) | −6.40909 | − | 2.96516i | −0.237049 | − | 0.109670i | ||||
\(732\) | −0.596175 | + | 1.49629i | −0.0220353 | + | 0.0553043i | ||||
\(733\) | 14.7721 | + | 21.7871i | 0.545618 | + | 0.804727i | 0.996116 | − | 0.0880509i | \(-0.0280638\pi\) |
−0.450498 | + | 0.892778i | \(0.648753\pi\) | |||||||
\(734\) | −17.3748 | + | 25.6260i | −0.641317 | + | 0.945871i | ||||
\(735\) | −0.724537 | − | 1.81845i | −0.0267250 | − | 0.0670746i | ||||
\(736\) | −0.183464 | + | 3.38379i | −0.00676256 | + | 0.124728i | ||||
\(737\) | −1.46140 | + | 1.72049i | −0.0538312 | + | 0.0633750i | ||||
\(738\) | −3.93690 | + | 4.63488i | −0.144919 | + | 0.170612i | ||||
\(739\) | 0.0238028 | − | 0.439016i | 0.000875599 | − | 0.0161495i | −0.998063 | − | 0.0622119i | \(-0.980185\pi\) |
0.998939 | + | 0.0460624i | \(0.0146673\pi\) | |||||||
\(740\) | 0.491310 | + | 1.23310i | 0.0180609 | + | 0.0453295i | ||||
\(741\) | 7.92248 | − | 11.6848i | 0.291040 | − | 0.429251i | ||||
\(742\) | 1.31378 | + | 1.93769i | 0.0482305 | + | 0.0711347i | ||||
\(743\) | 16.3692 | − | 41.0835i | 0.600527 | − | 1.50721i | −0.242947 | − | 0.970040i | \(-0.578114\pi\) |
0.843474 | − | 0.537170i | \(-0.180507\pi\) | |||||||
\(744\) | 0.203435 | + | 0.0941191i | 0.00745829 | + | 0.00345057i | ||||
\(745\) | −3.02375 | − | 1.81933i | −0.110782 | − | 0.0666551i | ||||
\(746\) | 18.1922 | − | 17.2326i | 0.666065 | − | 0.630931i | ||||
\(747\) | 5.93341 | + | 4.51046i | 0.217092 | + | 0.165029i | ||||
\(748\) | 0.364922 | + | 6.73058i | 0.0133429 | + | 0.246094i | ||||
\(749\) | 6.65162 | − | 3.07737i | 0.243045 | − | 0.112445i | ||||
\(750\) | 2.96108 | + | 0.322037i | 0.108123 | + | 0.0117591i | ||||
\(751\) | −30.8288 | − | 10.3874i | −1.12496 | − | 0.379043i | −0.305508 | − | 0.952190i | \(-0.598826\pi\) |
−0.819453 | + | 0.573146i | \(0.805723\pi\) | |||||||
\(752\) | 0.598727 | + | 3.65207i | 0.0218333 | + | 0.133177i | ||||
\(753\) | −0.354306 | − | 0.335616i | −0.0129116 | − | 0.0122305i | ||||
\(754\) | −4.03500 | − | 14.5327i | −0.146946 | − | 0.529251i | ||||
\(755\) | −2.64113 | − | 4.98169i | −0.0961204 | − | 0.181302i | ||||
\(756\) | 0.661620 | − | 0.222926i | 0.0240629 | − | 0.00810774i | ||||
\(757\) | −31.0442 | + | 6.83335i | −1.12832 | + | 0.248362i | −0.739635 | − | 0.673008i | \(-0.765002\pi\) |
−0.388686 | + | 0.921370i | \(0.627071\pi\) | |||||||
\(758\) | 2.48641 | − | 8.95524i | 0.0903105 | − | 0.325269i | ||||
\(759\) | −4.01318 | + | 2.41465i | −0.145669 | + | 0.0876461i | ||||
\(760\) | 1.10542 | − | 0.120221i | 0.0400977 | − | 0.00436089i | ||||
\(761\) | −49.7148 | − | 10.9431i | −1.80216 | − | 0.396685i | −0.818180 | − | 0.574962i | \(-0.805017\pi\) |
−0.983980 | + | 0.178277i | \(0.942948\pi\) | |||||||
\(762\) | 3.53714 | − | 6.67175i | 0.128137 | − | 0.241692i | ||||
\(763\) | −0.478206 | + | 2.91693i | −0.0173122 | + | 0.105600i | ||||
\(764\) | 11.3248 | − | 8.60885i | 0.409715 | − | 0.311457i | ||||
\(765\) | −0.948985 | − | 1.11723i | −0.0343106 | − | 0.0403936i | ||||
\(766\) | −21.3418 | −0.771111 | ||||||||
\(767\) | −19.8566 | − | 21.5617i | −0.716979 | − | 0.778549i | ||||
\(768\) | −1.00000 | −0.0360844 | ||||||||
\(769\) | 29.1145 | + | 34.2762i | 1.04989 | + | 1.23603i | 0.970983 | + | 0.239149i | \(0.0768685\pi\) |
0.0789111 | + | 0.996882i | \(0.474856\pi\) | |||||||
\(770\) | 0.230891 | − | 0.175519i | 0.00832074 | − | 0.00632526i | ||||
\(771\) | −4.91534 | + | 29.9822i | −0.177022 | + | 1.07978i | ||||
\(772\) | −9.25596 | + | 17.4586i | −0.333129 | + | 0.628349i | ||||
\(773\) | −31.1682 | − | 6.86063i | −1.12104 | − | 0.246760i | −0.384482 | − | 0.923133i | \(-0.625620\pi\) |
−0.736559 | + | 0.676373i | \(0.763551\pi\) | |||||||
\(774\) | 1.43949 | − | 0.156554i | 0.0517415 | − | 0.00562722i | ||||
\(775\) | 0.942981 | − | 0.567373i | 0.0338729 | − | 0.0203806i | ||||
\(776\) | 2.83281 | − | 10.2029i | 0.101692 | − | 0.366261i | ||||
\(777\) | 3.01115 | − | 0.662804i | 0.108024 | − | 0.0237780i | ||||
\(778\) | −27.0153 | + | 9.10253i | −0.968547 | + | 0.326341i | ||||
\(779\) | 10.5378 | + | 19.8764i | 0.377556 | + | 0.712147i | ||||
\(780\) | −0.306855 | − | 1.10519i | −0.0109872 | − | 0.0395723i | ||||
\(781\) | −6.81184 | − | 6.45251i | −0.243747 | − | 0.230889i | ||||
\(782\) | −2.67376 | − | 16.3092i | −0.0956134 | − | 0.583216i | ||||
\(783\) | 3.74545 | + | 1.26199i | 0.133851 | + | 0.0450998i | ||||
\(784\) | 6.47439 | + | 0.704132i | 0.231228 | + | 0.0251476i | ||||
\(785\) | 2.68742 | − | 1.24333i | 0.0959180 | − | 0.0443764i | ||||
\(786\) | −0.215957 | − | 3.98309i | −0.00770292 | − | 0.142072i | ||||
\(787\) | 8.82169 | + | 6.70607i | 0.314459 | + | 0.239046i | 0.750483 | − | 0.660889i | \(-0.229821\pi\) |
−0.436024 | + | 0.899935i | \(0.643614\pi\) | |||||||
\(788\) | −1.32314 | + | 1.25335i | −0.0471351 | + | 0.0446487i | ||||
\(789\) | 18.0496 | + | 10.8601i | 0.642583 | + | 0.386630i | ||||
\(790\) | 2.95221 | + | 1.36584i | 0.105035 | + | 0.0485943i | ||||
\(791\) | −3.96375 | + | 9.94826i | −0.140935 | + | 0.353719i | ||||
\(792\) | −0.775616 | − | 1.14395i | −0.0275603 | − | 0.0406484i | ||||
\(793\) | 3.44934 | − | 5.08740i | 0.122490 | − | 0.180659i | ||||
\(794\) | 13.8780 | + | 34.8312i | 0.492513 | + | 1.23611i | ||||
\(795\) | −0.0545646 | + | 1.00639i | −0.00193521 | + | 0.0356928i | ||||
\(796\) | 3.87263 | − | 4.55921i | 0.137262 | − | 0.161597i | ||||
\(797\) | −0.514612 | + | 0.605848i | −0.0182285 | + | 0.0214602i | −0.771201 | − | 0.636592i | \(-0.780344\pi\) |
0.752972 | + | 0.658052i | \(0.228619\pi\) | |||||||
\(798\) | 0.139831 | − | 2.57903i | 0.00494997 | − | 0.0912968i | ||||
\(799\) | −6.68057 | − | 16.7670i | −0.236342 | − | 0.593173i | ||||
\(800\) | −2.75524 | + | 4.06367i | −0.0974123 | + | 0.143672i | ||||
\(801\) | 1.83790 | + | 2.71069i | 0.0649389 | + | 0.0957776i | ||||
\(802\) | −8.96683 | + | 22.5050i | −0.316630 | + | 0.794680i | ||||
\(803\) | 5.69408 | + | 2.63436i | 0.200940 | + | 0.0929646i | ||||
\(804\) | 1.39950 | + | 0.842053i | 0.0493567 | + | 0.0296969i | ||||
\(805\) | −0.516273 | + | 0.489039i | −0.0181962 | + | 0.0172364i | ||||
\(806\) | −0.680967 | − | 0.517657i | −0.0239860 | − | 0.0182337i | ||||
\(807\) | −0.819040 | − | 15.1063i | −0.0288316 | − | 0.531767i | ||||
\(808\) | −8.50390 | + | 3.93432i | −0.299166 | + | 0.138409i | ||||
\(809\) | −31.1697 | − | 3.38991i | −1.09587 | − | 0.119183i | −0.457720 | − | 0.889097i | \(-0.651334\pi\) |
−0.638148 | + | 0.769914i | \(0.720299\pi\) | |||||||
\(810\) | 0.284836 | + | 0.0959723i | 0.0100081 | + | 0.00337212i | ||||
\(811\) | 7.10682 | + | 43.3497i | 0.249554 | + | 1.52221i | 0.752904 | + | 0.658131i | \(0.228653\pi\) |
−0.503349 | + | 0.864083i | \(0.667899\pi\) | |||||||
\(812\) | −2.00331 | − | 1.89764i | −0.0703024 | − | 0.0665940i | ||||
\(813\) | 4.66164 | + | 16.7897i | 0.163491 | + | 0.588841i | ||||
\(814\) | −2.85898 | − | 5.39260i | −0.100207 | − | 0.189011i | ||||
\(815\) | 0.992822 | − | 0.334521i | 0.0347770 | − | 0.0117177i | ||||
\(816\) | 4.76296 | − | 1.04841i | 0.166737 | − | 0.0367016i | ||||
\(817\) | 1.43307 | − | 5.16145i | 0.0501367 | − | 0.180576i | ||||
\(818\) | 11.0884 | − | 6.67169i | 0.387698 | − | 0.233270i | ||||
\(819\) | −2.64865 | + | 0.288058i | −0.0925514 | + | 0.0100656i | ||||
\(820\) | 1.78510 | + | 0.392930i | 0.0623383 | + | 0.0137217i | ||||
\(821\) | −0.946157 | + | 1.78464i | −0.0330211 | + | 0.0622844i | −0.899474 | − | 0.436975i | \(-0.856050\pi\) |
0.866452 | + | 0.499260i | \(0.166395\pi\) | |||||||
\(822\) | 0.942283 | − | 5.74767i | 0.0328659 | − | 0.200473i | ||||
\(823\) | 6.12444 | − | 4.65568i | 0.213485 | − | 0.162287i | −0.492967 | − | 0.870048i | \(-0.664088\pi\) |
0.706452 | + | 0.707761i | \(0.250295\pi\) | |||||||
\(824\) | 10.4506 | + | 12.3034i | 0.364065 | + | 0.428610i | ||||
\(825\) | −6.78563 | −0.236245 | ||||||||
\(826\) | −5.14657 | − | 1.50721i | −0.179072 | − | 0.0524424i | ||||
\(827\) | −42.2345 | −1.46864 | −0.734319 | − | 0.678805i | \(-0.762498\pi\) | ||||
−0.734319 | + | 0.678805i | \(0.762498\pi\) | |||||||
\(828\) | 2.19384 | + | 2.58278i | 0.0762411 | + | 0.0897579i | ||||
\(829\) | 29.8093 | − | 22.6604i | 1.03532 | − | 0.787029i | 0.0578966 | − | 0.998323i | \(-0.481561\pi\) |
0.977423 | + | 0.211293i | \(0.0677675\pi\) | |||||||
\(830\) | 0.362423 | − | 2.21068i | 0.0125799 | − | 0.0767339i | ||||
\(831\) | 4.66363 | − | 8.79654i | 0.161780 | − | 0.305149i | ||||
\(832\) | 3.72687 | + | 0.820347i | 0.129206 | + | 0.0284404i | ||||
\(833\) | −31.5755 | + | 3.43404i | −1.09402 | + | 0.118982i | ||||
\(834\) | 10.9155 | − | 6.56764i | 0.377973 | − | 0.227419i | ||||
\(835\) | −0.442631 | + | 1.59421i | −0.0153179 | + | 0.0551700i | ||||
\(836\) | −4.99344 | + | 1.09914i | −0.172702 | + | 0.0380145i | ||||
\(837\) | 0.212419 | − | 0.0715722i | 0.00734226 | − | 0.00247390i | ||||
\(838\) | −7.92432 | − | 14.9469i | −0.273741 | − | 0.516331i | ||||
\(839\) | −1.84068 | − | 6.62953i | −0.0635474 | − | 0.228877i | 0.924956 | − | 0.380073i | \(-0.124101\pi\) |
−0.988504 | + | 0.151196i | \(0.951687\pi\) | |||||||
\(840\) | −0.152349 | − | 0.144312i | −0.00525653 | − | 0.00497925i | ||||
\(841\) | 2.16448 | + | 13.2027i | 0.0746372 | + | 0.455267i | ||||
\(842\) | 8.15104 | + | 2.74640i | 0.280903 | + | 0.0946474i | ||||
\(843\) | 22.9785 | + | 2.49906i | 0.791422 | + | 0.0860723i | ||||
\(844\) | −19.1570 | + | 8.86296i | −0.659410 | + | 0.305076i | ||||
\(845\) | 0.0254267 | + | 0.468968i | 0.000874705 | + | 0.0161330i | ||||
\(846\) | 2.94620 | + | 2.23965i | 0.101293 | + | 0.0770006i | ||||
\(847\) | 4.60732 | − | 4.36428i | 0.158309 | − | 0.149958i | ||||
\(848\) | −2.87319 | − | 1.72874i | −0.0986659 | − | 0.0593653i | ||||
\(849\) | −25.0649 | − | 11.5962i | −0.860225 | − | 0.397982i | ||||
\(850\) | 8.86270 | − | 22.2437i | 0.303988 | − | 0.762953i | ||||
\(851\) | 8.39837 | + | 12.3867i | 0.287893 | + | 0.424610i | ||||
\(852\) | −3.80977 | + | 5.61899i | −0.130521 | + | 0.192504i | ||||
\(853\) | −15.3061 | − | 38.4153i | −0.524070 | − | 1.31532i | −0.918148 | − | 0.396239i | \(-0.870315\pi\) |
0.394078 | − | 0.919077i | \(-0.371064\pi\) | |||||||
\(854\) | 0.0608806 | − | 1.12288i | 0.00208329 | − | 0.0384240i | ||||
\(855\) | 0.719852 | − | 0.847475i | 0.0246184 | − | 0.0289830i | ||||
\(856\) | −6.79593 | + | 8.00079i | −0.232280 | + | 0.273461i | ||||
\(857\) | −0.894373 | + | 16.4957i | −0.0305512 | + | 0.563484i | 0.942686 | + | 0.333681i | \(0.108291\pi\) |
−0.973237 | + | 0.229803i | \(0.926192\pi\) | |||||||
\(858\) | 1.95219 | + | 4.89962i | 0.0666466 | + | 0.167270i | ||||
\(859\) | −4.01215 | + | 5.91748i | −0.136893 | + | 0.201902i | −0.889956 | − | 0.456046i | \(-0.849265\pi\) |
0.753063 | + | 0.657948i | \(0.228575\pi\) | |||||||
\(860\) | −0.244239 | − | 0.360226i | −0.00832849 | − | 0.0122836i | ||||
\(861\) | 1.57150 | − | 3.94417i | 0.0535566 | − | 0.134417i | ||||
\(862\) | −13.3927 | − | 6.19614i | −0.456158 | − | 0.211041i | ||||
\(863\) | −44.7714 | − | 26.9381i | −1.52404 | − | 0.916983i | −0.997776 | − | 0.0666598i | \(-0.978766\pi\) |
−0.526261 | − | 0.850323i | \(-0.676407\pi\) | |||||||
\(864\) | −0.725995 | + | 0.687699i | −0.0246989 | + | 0.0233960i | ||||
\(865\) | 1.27084 | + | 0.966064i | 0.0432097 | + | 0.0328472i | ||||
\(866\) | −1.29071 | − | 23.8058i | −0.0438602 | − | 0.808955i | ||||
\(867\) | −6.15784 | + | 2.84892i | −0.209131 | + | 0.0967545i | ||||
\(868\) | −0.155578 | − | 0.0169202i | −0.00528068 | − | 0.000574308i | ||||
\(869\) | −14.1745 | − | 4.77594i | −0.480837 | − | 0.162013i | ||||
\(870\) | −0.192190 | − | 1.17230i | −0.00651584 | − | 0.0397449i | ||||
\(871\) | −4.52500 | − | 4.28630i | −0.153324 | − | 0.145236i | ||||
\(872\) | −1.13265 | − | 4.07943i | −0.0383563 | − | 0.138147i | ||||
\(873\) | −4.95990 | − | 9.35536i | −0.167867 | − | 0.316631i | ||||
\(874\) | 11.8802 | − | 4.00292i | 0.401855 | − | 0.135401i | ||||
\(875\) | −2.03090 | + | 0.447035i | −0.0686570 | + | 0.0151126i | ||||
\(876\) | 1.21443 | − | 4.37397i | 0.0410317 | − | 0.147783i | ||||
\(877\) | −40.9810 | + | 24.6575i | −1.38383 | + | 0.832624i | −0.996021 | − | 0.0891158i | \(-0.971596\pi\) |
−0.387810 | + | 0.921739i | \(0.626768\pi\) | |||||||
\(878\) | −38.9890 | + | 4.24031i | −1.31582 | + | 0.143104i | ||||
\(879\) | −3.04214 | − | 0.669625i | −0.102609 | − | 0.0225859i | ||||
\(880\) | −0.194585 | + | 0.367026i | −0.00655945 | + | 0.0123724i | ||||
\(881\) | −2.15002 | + | 13.1145i | −0.0724360 | + | 0.441840i | 0.925562 | + | 0.378596i | \(0.123593\pi\) |
−0.997998 | + | 0.0632443i | \(0.979855\pi\) | |||||||
\(882\) | 5.18461 | − | 3.94123i | 0.174575 | − | 0.132708i | ||||
\(883\) | 8.45845 | + | 9.95806i | 0.284650 | + | 0.335115i | 0.885840 | − | 0.463990i | \(-0.153583\pi\) |
−0.601191 | + | 0.799106i | \(0.705307\pi\) | |||||||
\(884\) | −18.6110 | −0.625956 | ||||||||
\(885\) | −1.37119 | − | 1.85742i | −0.0460921 | − | 0.0624365i | ||||
\(886\) | 21.3368 | 0.716823 | ||||||||
\(887\) | 34.2029 | + | 40.2667i | 1.14842 | + | 1.35202i | 0.926202 | + | 0.377028i | \(0.123054\pi\) |
0.222218 | + | 0.974997i | \(0.428670\pi\) | |||||||
\(888\) | −3.51569 | + | 2.67256i | −0.117979 | + | 0.0896852i | ||||
\(889\) | −0.852937 | + | 5.20268i | −0.0286066 | + | 0.174492i | ||||
\(890\) | 0.461087 | − | 0.869703i | 0.0154557 | − | 0.0291525i | ||||
\(891\) | −1.34979 | − | 0.297110i | −0.0452195 | − | 0.00995357i | ||||
\(892\) | 3.09940 | − | 0.337080i | 0.103776 | − | 0.0112863i | ||||
\(893\) | 11.7312 | − | 7.05842i | 0.392569 | − | 0.236201i | ||||
\(894\) | 3.14096 | − | 11.3127i | 0.105049 | − | 0.378354i | ||||
\(895\) | 4.20816 | − | 0.926285i | 0.140663 | − | 0.0309623i | ||||
\(896\) | 0.661620 | − | 0.222926i | 0.0221032 | − | 0.00744743i | ||||
\(897\) | −6.05737 | − | 11.4254i | −0.202250 | − | 0.381483i | ||||
\(898\) | −3.41930 | − | 12.3152i | −0.114103 | − | 0.410963i | ||||
\(899\) | −0.643179 | − | 0.609252i | −0.0214512 | − | 0.0203197i | ||||
\(900\) | 0.794294 | + | 4.84498i | 0.0264765 | + | 0.161499i | ||||
\(901\) | 15.4973 | + | 5.22166i | 0.516291 | + | 0.173959i | ||||
\(902\) | −8.35558 | − | 0.908725i | −0.278211 | − | 0.0302572i | ||||
\(903\) | −0.917497 | + | 0.424479i | −0.0305324 | + | 0.0141258i | ||||
\(904\) | −0.830409 | − | 15.3160i | −0.0276190 | − | 0.509403i | ||||
\(905\) | −1.11614 | − | 0.848469i | −0.0371018 | − | 0.0282041i | ||||
\(906\) | 13.6193 | − | 12.9008i | 0.452470 | − | 0.428602i | ||||
\(907\) | 9.11419 | + | 5.48383i | 0.302632 | + | 0.182087i | 0.658767 | − | 0.752347i | \(-0.271078\pi\) |
−0.356135 | + | 0.934434i | \(0.615906\pi\) | |||||||
\(908\) | 1.39206 | + | 0.644038i | 0.0461973 | + | 0.0213731i | ||||
\(909\) | −3.46816 | + | 8.70443i | −0.115032 | + | 0.288708i | ||||
\(910\) | 0.449398 | + | 0.662812i | 0.0148974 | + | 0.0219720i | ||||
\(911\) | 0.113977 | − | 0.168104i | 0.00377624 | − | 0.00556954i | −0.825796 | − | 0.563969i | \(-0.809274\pi\) |
0.829572 | + | 0.558399i | \(0.188584\pi\) | |||||||
\(912\) | 1.36930 | + | 3.43668i | 0.0453421 | + | 0.113800i | ||||
\(913\) | −0.557685 | + | 10.2859i | −0.0184567 | + | 0.340413i | ||||
\(914\) | 10.6756 | − | 12.5682i | 0.353116 | − | 0.415720i | ||||
\(915\) | 0.313414 | − | 0.368980i | 0.0103611 | − | 0.0121981i | ||||
\(916\) | 0.894922 | − | 16.5059i | 0.0295691 | − | 0.545369i | ||||
\(917\) | 1.03081 | + | 2.58715i | 0.0340405 | + | 0.0854352i | ||||
\(918\) | 2.73690 | − | 4.03662i | 0.0903311 | − | 0.133228i | ||||
\(919\) | −3.98268 | − | 5.87401i | −0.131376 | − | 0.193766i | 0.756311 | − | 0.654212i | \(-0.227000\pi\) |
−0.887688 | + | 0.460446i | \(0.847689\pi\) | |||||||
\(920\) | 0.377007 | − | 0.946217i | 0.0124296 | − | 0.0311958i | ||||
\(921\) | 4.74771 | + | 2.19653i | 0.156442 | + | 0.0723780i | ||||
\(922\) | −14.3469 | − | 8.63224i | −0.472490 | − | 0.284288i | ||||
\(923\) | 18.8081 | − | 17.8159i | 0.619075 | − | 0.586419i | ||||
\(924\) | 0.768179 | + | 0.583954i | 0.0252712 | + | 0.0192107i | ||||
\(925\) | 1.17384 | + | 21.6501i | 0.0385955 | + | 0.711852i | ||||
\(926\) | −14.1674 | + | 6.55455i | −0.465570 | + | 0.215396i | ||||
\(927\) | 16.0482 | + | 1.74534i | 0.527091 | + | 0.0573246i | ||||
\(928\) | 3.74545 | + | 1.26199i | 0.122950 | + | 0.0414268i | ||||
\(929\) | 6.61135 | + | 40.3275i | 0.216911 | + | 1.32310i | 0.840697 | + | 0.541506i | \(0.182146\pi\) |
−0.623786 | + | 0.781595i | \(0.714406\pi\) | |||||||
\(930\) | −0.0489128 | − | 0.0463326i | −0.00160391 | − | 0.00151931i | ||||
\(931\) | −6.44550 | − | 23.2146i | −0.211243 | − | 0.760827i | ||||
\(932\) | −8.71230 | − | 16.4331i | −0.285381 | − | 0.538286i | ||||
\(933\) | −1.74740 | + | 0.588768i | −0.0572074 | + | 0.0192754i | ||||
\(934\) | −10.3673 | + | 2.28202i | −0.339230 | + | 0.0746701i | ||||
\(935\) | 0.542007 | − | 1.95213i | 0.0177255 | − | 0.0638416i | ||||
\(936\) | 3.26985 | − | 1.96740i | 0.106878 | − | 0.0643065i | ||||
\(937\) | 14.8435 | − | 1.61433i | 0.484915 | − | 0.0527377i | 0.137604 | − | 0.990487i | \(-0.456060\pi\) |
0.347312 | + | 0.937750i | \(0.387095\pi\) | |||||||
\(938\) | −1.11366 | − | 0.245134i | −0.0363621 | − | 0.00800391i | ||||
\(939\) | 3.81508 | − | 7.19600i | 0.124500 | − | 0.234832i | ||||
\(940\) | 0.179959 | − | 1.09770i | 0.00586962 | − | 0.0358031i | ||||
\(941\) | −1.88415 | + | 1.43229i | −0.0614214 | + | 0.0466913i | −0.635434 | − | 0.772155i | \(-0.719179\pi\) |
0.574013 | + | 0.818846i | \(0.305386\pi\) | |||||||
\(942\) | 6.37780 | + | 7.50852i | 0.207800 | + | 0.244641i | ||||
\(943\) | 20.6078 | 0.671083 | ||||||||
\(944\) | 7.59668 | − | 1.13595i | 0.247251 | − | 0.0369721i | ||||
\(945\) | −0.209848 | −0.00682635 | ||||||||
\(946\) | 1.29558 | + | 1.52528i | 0.0421230 | + | 0.0495911i | ||||
\(947\) | −21.4685 | + | 16.3199i | −0.697632 | + | 0.530326i | −0.892805 | − | 0.450443i | \(-0.851266\pi\) |
0.195173 | + | 0.980769i | \(0.437473\pi\) | |||||||
\(948\) | −1.75085 | + | 10.6797i | −0.0568650 | + | 0.346861i | ||||
\(949\) | −8.11420 | + | 15.3050i | −0.263398 | + | 0.496821i | ||||
\(950\) | 17.7383 | + | 3.90449i | 0.575506 | + | 0.126679i | ||||
\(951\) | 0.283885 | − | 0.0308743i | 0.00920560 | − | 0.00100117i | ||||
\(952\) | −2.91755 | + | 1.75543i | −0.0945585 | + | 0.0568939i | ||||
\(953\) | 0.613085 | − | 2.20813i | 0.0198598 | − | 0.0715285i | −0.952956 | − | 0.303108i | \(-0.901976\pi\) |
0.972816 | + | 0.231580i | \(0.0743894\pi\) | |||||||
\(954\) | −3.27478 | + | 0.720834i | −0.106025 | + | 0.0233379i | ||||
\(955\) | −4.05191 | + | 1.36525i | −0.131117 | + | 0.0441783i | ||||
\(956\) | −12.4891 | − | 23.5569i | −0.403925 | − | 0.761884i | ||||
\(957\) | 1.46138 | + | 5.26342i | 0.0472397 | + | 0.170142i | ||||
\(958\) | −3.14193 | − | 2.97620i | −0.101511 | − | 0.0961565i | ||||
\(959\) | 0.657871 | + | 4.01283i | 0.0212438 | + | 0.129581i | ||||
\(960\) | 0.284836 | + | 0.0959723i | 0.00919303 | + | 0.00309749i | ||||
\(961\) | 30.7683 | + | 3.34626i | 0.992527 | + | 0.107944i | ||||
\(962\) | 15.2950 | − | 7.07620i | 0.493129 | − | 0.228146i | ||||
\(963\) | 0.568323 | + | 10.4821i | 0.0183139 | + | 0.337781i | ||||
\(964\) | −2.39689 | − | 1.82207i | −0.0771986 | − | 0.0586848i | ||||
\(965\) | 4.31197 | − | 4.08452i | 0.138807 | − | 0.131485i | ||||
\(966\) | −2.02726 | − | 1.21976i | −0.0652259 | − | 0.0392451i | ||||
\(967\) | 9.80152 | + | 4.53467i | 0.315196 | + | 0.145825i | 0.571108 | − | 0.820875i | \(-0.306514\pi\) |
−0.255912 | + | 0.966700i | \(0.582376\pi\) | |||||||
\(968\) | −3.36448 | + | 8.44422i | −0.108139 | + | 0.271407i | ||||
\(969\) | −10.1250 | − | 14.9332i | −0.325261 | − | 0.479724i | ||||
\(970\) | −1.78608 | + | 2.63427i | −0.0573475 | + | 0.0845813i | ||||
\(971\) | 6.16932 | + | 15.4838i | 0.197983 | + | 0.496900i | 0.994129 | − | 0.108205i | \(-0.0345104\pi\) |
−0.796146 | + | 0.605105i | \(0.793131\pi\) | |||||||
\(972\) | −0.0541389 | + | 0.998533i | −0.00173651 | + | 0.0320280i | ||||
\(973\) | −5.75782 | + | 6.77863i | −0.184587 | + | 0.217313i | ||||
\(974\) | −13.2884 | + | 15.6443i | −0.425788 | + | 0.501276i | ||||
\(975\) | 1.01433 | − | 18.7082i | 0.0324846 | − | 0.599143i | ||||
\(976\) | 0.596175 | + | 1.49629i | 0.0190831 | + | 0.0478950i | ||||
\(977\) | 12.2925 | − | 18.1300i | 0.393271 | − | 0.580032i | −0.578580 | − | 0.815625i | \(-0.696393\pi\) |
0.971852 | + | 0.235594i | \(0.0757035\pi\) | |||||||
\(978\) | 1.95607 | + | 2.88499i | 0.0625482 | + | 0.0922518i | ||||
\(979\) | −1.67539 | + | 4.20491i | −0.0535457 | + | 0.134390i | ||||
\(980\) | −1.77656 | − | 0.821924i | −0.0567501 | − | 0.0262554i | ||||
\(981\) | −3.62772 | − | 2.18273i | −0.115824 | − | 0.0696891i | ||||
\(982\) | 10.4650 | − | 9.91296i | 0.333951 | − | 0.316335i | ||||
\(983\) | 3.59282 | + | 2.73119i | 0.114593 | + | 0.0871114i | 0.660901 | − | 0.750473i | \(-0.270174\pi\) |
−0.546308 | + | 0.837584i | \(0.683967\pi\) | |||||||
\(984\) | 0.329231 | + | 6.07231i | 0.0104955 | + | 0.193578i | ||||
\(985\) | 0.497166 | − | 0.230013i | 0.0158410 | − | 0.00732883i | ||||
\(986\) | −19.1625 | − | 2.08405i | −0.610259 | − | 0.0663696i | ||||
\(987\) | −2.44854 | − | 0.825010i | −0.0779380 | − | 0.0262604i | ||||
\(988\) | −2.28394 | − | 13.9314i | −0.0726617 | − | 0.443216i | ||||
\(989\) | −3.56236 | − | 3.37444i | −0.113276 | − | 0.107301i | ||||
\(990\) | 0.111136 | + | 0.400275i | 0.00353213 | + | 0.0127216i | ||||
\(991\) | 13.7028 | + | 25.8462i | 0.435283 | + | 0.821030i | 0.999991 | − | 0.00426024i | \(-0.00135608\pi\) |
−0.564708 | + | 0.825291i | \(0.691011\pi\) | |||||||
\(992\) | 0.212419 | − | 0.0715722i | 0.00674430 | − | 0.00227242i | ||||
\(993\) | 27.7818 | − | 6.11524i | 0.881629 | − | 0.194061i | ||||
\(994\) | 1.26800 | − | 4.56694i | 0.0402186 | − | 0.144854i | ||||
\(995\) | −1.54062 | + | 0.926961i | −0.0488410 | + | 0.0293867i | ||||
\(996\) | 7.40947 | − | 0.805829i | 0.234778 | − | 0.0255337i | ||||
\(997\) | 50.4003 | + | 11.0939i | 1.59619 | + | 0.351349i | 0.921995 | − | 0.387202i | \(-0.126558\pi\) |
0.674198 | + | 0.738551i | \(0.264489\pi\) | |||||||
\(998\) | −13.2193 | + | 24.9343i | −0.418450 | + | 0.789280i | ||||
\(999\) | −0.714458 | + | 4.35800i | −0.0226045 | + | 0.137881i |
(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 | 354.2.e.b.223.2 | yes | 56 | |
59.9 | even | 29 | inner | 354.2.e.b.127.2 | ✓ | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
354.2.e.b.127.2 | ✓ | 56 | 59.9 | even | 29 | inner | |
354.2.e.b.223.2 | yes | 56 | 1.1 | even | 1 | trivial |