Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [693,2,Mod(64,693)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(693, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("693.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 693 = 3^{2} \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 693.m (of order \(5\), degree \(4\), 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: | \(5.53363286007\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} + 12 x^{18} - 3 x^{17} + 94 x^{16} - 10 x^{15} + 662 x^{14} - 153 x^{13} + 4638 x^{12} + \cdots + 121 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | no (minimal twist has level 231) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 64.1 | ||
Root | \(-0.864833 - 2.66168i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 693.64 |
Dual form | 693.2.m.j.379.1 |
$q$-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 \(\left(\mathbb{Z}/693\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(442\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.864833 | + | 2.66168i | −0.611530 | + | 1.88209i | −0.168147 | + | 0.985762i | \(0.553778\pi\) |
−0.443383 | + | 0.896332i | \(0.646222\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −4.71859 | − | 3.42825i | −2.35929 | − | 1.71413i | ||||
\(5\) | 0.518429 | + | 1.59556i | 0.231849 | + | 0.713557i | 0.997524 | + | 0.0703294i | \(0.0224050\pi\) |
−0.765675 | + | 0.643227i | \(0.777595\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.809017 | + | 0.587785i | 0.305780 | + | 0.222162i | ||||
\(8\) | 8.67739 | − | 6.30449i | 3.06792 | − | 2.22898i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −4.69523 | −1.48476 | ||||||||
\(11\) | 3.13215 | − | 1.09071i | 0.944378 | − | 0.328861i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.81428 | − | 5.58378i | 0.503191 | − | 1.54866i | −0.300600 | − | 0.953750i | \(-0.597187\pi\) |
0.803791 | − | 0.594912i | \(-0.202813\pi\) | |||||||
\(14\) | −2.26416 | + | 1.64501i | −0.605123 | + | 0.439648i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 5.67139 | + | 17.4547i | 1.41785 | + | 4.36369i | ||||
\(17\) | 0.0939932 | + | 0.289281i | 0.0227967 | + | 0.0701611i | 0.961808 | − | 0.273726i | \(-0.0882562\pi\) |
−0.939011 | + | 0.343887i | \(0.888256\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.74462 | − | 2.72062i | 0.859074 | − | 0.624154i | −0.0685591 | − | 0.997647i | \(-0.521840\pi\) |
0.927633 | + | 0.373494i | \(0.121840\pi\) | |||||||
\(20\) | 3.02374 | − | 9.30610i | 0.676128 | − | 2.08091i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.194331 | + | 9.28007i | 0.0414316 | + | 1.97852i | ||||
\(23\) | 1.38164 | 0.288092 | 0.144046 | − | 0.989571i | \(-0.453989\pi\) | ||||
0.144046 | + | 0.989571i | \(0.453989\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.76804 | − | 1.28455i | 0.353607 | − | 0.256911i | ||||
\(26\) | 13.2932 | + | 9.65808i | 2.60701 | + | 1.89411i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.80234 | − | 5.54703i | −0.340610 | − | 1.04829i | ||||
\(29\) | 3.21073 | + | 2.33273i | 0.596217 | + | 0.433177i | 0.844534 | − | 0.535502i | \(-0.179877\pi\) |
−0.248317 | + | 0.968679i | \(0.579877\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.236120 | − | 0.726701i | 0.0424083 | − | 0.130519i | −0.927611 | − | 0.373548i | \(-0.878141\pi\) |
0.970019 | + | 0.243029i | \(0.0781410\pi\) | |||||||
\(32\) | −29.9121 | −5.28776 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.851264 | −0.145991 | ||||||||
\(35\) | −0.518429 | + | 1.59556i | −0.0876306 | + | 0.269699i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.59713 | − | 1.88693i | −0.426966 | − | 0.310209i | 0.353469 | − | 0.935446i | \(-0.385002\pi\) |
−0.780434 | + | 0.625238i | \(0.785002\pi\) | |||||||
\(38\) | 4.00297 | + | 12.3199i | 0.649367 | + | 1.99855i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 14.5578 | + | 10.5769i | 2.30179 | + | 1.67235i | ||||
\(41\) | −6.72515 | + | 4.88611i | −1.05029 | + | 0.763081i | −0.972268 | − | 0.233870i | \(-0.924861\pi\) |
−0.0780237 | + | 0.996952i | \(0.524861\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.01069 | −0.154129 | −0.0770647 | − | 0.997026i | \(-0.524555\pi\) | ||||
−0.0770647 | + | 0.997026i | \(0.524555\pi\) | |||||||
\(44\) | −18.5185 | − | 5.59120i | −2.79178 | − | 0.842906i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.19489 | + | 3.67749i | −0.176177 | + | 0.542216i | ||||
\(47\) | −2.09283 | + | 1.52053i | −0.305271 | + | 0.221792i | −0.729865 | − | 0.683592i | \(-0.760417\pi\) |
0.424594 | + | 0.905384i | \(0.360417\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.309017 | + | 0.951057i | 0.0441453 | + | 0.135865i | ||||
\(50\) | 1.89002 | + | 5.81688i | 0.267289 | + | 0.822631i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −27.7035 | + | 20.1277i | −3.84178 | + | 2.79122i | ||||
\(53\) | 0.449229 | − | 1.38259i | 0.0617064 | − | 0.189913i | −0.915451 | − | 0.402429i | \(-0.868166\pi\) |
0.977157 | + | 0.212517i | \(0.0681659\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.36409 | + | 4.43208i | 0.453614 | + | 0.597622i | ||||
\(56\) | 10.7258 | 1.43330 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −8.98574 | + | 6.52852i | −1.17988 | + | 0.857237i | ||||
\(59\) | −2.01805 | − | 1.46620i | −0.262727 | − | 0.190883i | 0.448621 | − | 0.893722i | \(-0.351915\pi\) |
−0.711349 | + | 0.702839i | \(0.751915\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.04848 | + | 3.22689i | 0.134244 | + | 0.413161i | 0.995472 | − | 0.0950587i | \(-0.0303039\pi\) |
−0.861228 | + | 0.508219i | \(0.830304\pi\) | |||||||
\(62\) | 1.73004 | + | 1.25695i | 0.219716 | + | 0.159633i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 14.5262 | − | 44.7071i | 1.81578 | − | 5.58839i | ||||
\(65\) | 9.84984 | 1.22172 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.16878 | 0.753636 | 0.376818 | − | 0.926287i | \(-0.377018\pi\) | ||||
0.376818 | + | 0.926287i | \(0.377018\pi\) | |||||||
\(68\) | 0.548215 | − | 1.68723i | 0.0664808 | − | 0.204607i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −3.79852 | − | 2.75979i | −0.454011 | − | 0.329858i | ||||
\(71\) | −2.34835 | − | 7.22749i | −0.278698 | − | 0.857745i | −0.988217 | − | 0.153058i | \(-0.951088\pi\) |
0.709519 | − | 0.704686i | \(-0.248912\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 10.3114 | + | 7.49164i | 1.20685 | + | 0.876831i | 0.994941 | − | 0.100458i | \(-0.0320308\pi\) |
0.211913 | + | 0.977289i | \(0.432031\pi\) | |||||||
\(74\) | 7.26848 | − | 5.28086i | 0.844944 | − | 0.613888i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −26.9963 | −3.09669 | ||||||||
\(77\) | 3.17506 | + | 0.958630i | 0.361832 | + | 0.109246i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.90206 | + | 5.85393i | −0.213998 | + | 0.658618i | 0.785225 | + | 0.619210i | \(0.212547\pi\) |
−0.999223 | + | 0.0394080i | \(0.987453\pi\) | |||||||
\(80\) | −24.9099 | + | 18.0981i | −2.78501 | + | 2.02343i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −7.18913 | − | 22.1259i | −0.793907 | − | 2.44339i | ||||
\(83\) | 0.621946 | + | 1.91415i | 0.0682675 | + | 0.210106i | 0.979370 | − | 0.202073i | \(-0.0647679\pi\) |
−0.911103 | + | 0.412179i | \(0.864768\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.412837 | + | 0.299944i | −0.0447785 | + | 0.0325335i | ||||
\(86\) | 0.874082 | − | 2.69015i | 0.0942546 | − | 0.290086i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 20.3025 | − | 29.2111i | 2.16426 | − | 3.11392i | ||||
\(89\) | −0.0843908 | −0.00894541 | −0.00447270 | − | 0.999990i | \(-0.501424\pi\) | ||||
−0.00447270 | + | 0.999990i | \(0.501424\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.74985 | − | 3.45097i | 0.497919 | − | 0.361760i | ||||
\(92\) | −6.51938 | − | 4.73661i | −0.679693 | − | 0.493826i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.23722 | − | 6.88545i | −0.230752 | − | 0.710180i | ||||
\(95\) | 6.28224 | + | 4.56431i | 0.644544 | + | 0.468289i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.320682 | − | 0.986957i | 0.0325603 | − | 0.100210i | −0.933456 | − | 0.358693i | \(-0.883223\pi\) |
0.966016 | + | 0.258483i | \(0.0832225\pi\) | |||||||
\(98\) | −2.79866 | −0.282707 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −12.7464 | −1.27464 | ||||||||
\(101\) | 6.08676 | − | 18.7331i | 0.605656 | − | 1.86402i | 0.113435 | − | 0.993545i | \(-0.463815\pi\) |
0.492220 | − | 0.870471i | \(-0.336185\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.95189 | + | 1.41813i | 0.192325 | + | 0.139733i | 0.679781 | − | 0.733415i | \(-0.262075\pi\) |
−0.487455 | + | 0.873148i | \(0.662075\pi\) | |||||||
\(104\) | −19.4597 | − | 59.8908i | −1.90818 | − | 5.87277i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.29150 | + | 2.39141i | 0.319698 | + | 0.232275i | ||||
\(107\) | −7.49357 | + | 5.44439i | −0.724430 | + | 0.526330i | −0.887797 | − | 0.460236i | \(-0.847765\pi\) |
0.163366 | + | 0.986566i | \(0.447765\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −8.30530 | −0.795503 | −0.397752 | − | 0.917493i | \(-0.630209\pi\) | ||||
−0.397752 | + | 0.917493i | \(0.630209\pi\) | |||||||
\(110\) | −14.7062 | + | 5.12113i | −1.40218 | + | 0.488280i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −5.67139 | + | 17.4547i | −0.535896 | + | 1.64932i | ||||
\(113\) | 4.43310 | − | 3.22084i | 0.417031 | − | 0.302991i | −0.359411 | − | 0.933179i | \(-0.617022\pi\) |
0.776442 | + | 0.630188i | \(0.217022\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.716282 | + | 2.20449i | 0.0667937 | + | 0.205570i | ||||
\(116\) | −7.15291 | − | 22.0144i | −0.664131 | − | 2.04398i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 5.64783 | − | 4.10339i | 0.519925 | − | 0.377747i | ||||
\(119\) | −0.0939932 | + | 0.289281i | −0.00861635 | + | 0.0265184i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 8.62071 | − | 6.83252i | 0.783701 | − | 0.621138i | ||||
\(122\) | −9.49572 | −0.859702 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.60547 | + | 2.61953i | −0.323781 | + | 0.235240i | ||||
\(125\) | 9.75252 | + | 7.08562i | 0.872292 | + | 0.633757i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.19815 | + | 19.0759i | 0.549997 | + | 1.69272i | 0.708803 | + | 0.705406i | \(0.249235\pi\) |
−0.158807 | + | 0.987310i | \(0.550765\pi\) | |||||||
\(128\) | 58.0345 | + | 42.1646i | 5.12958 | + | 3.72686i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −8.51847 | + | 26.2172i | −0.747119 | + | 2.29940i | ||||
\(131\) | −4.22096 | −0.368787 | −0.184394 | − | 0.982852i | \(-0.559032\pi\) | ||||
−0.184394 | + | 0.982852i | \(0.559032\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 4.62860 | 0.401350 | ||||||||
\(134\) | −5.33496 | + | 16.4193i | −0.460871 | + | 1.41841i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.63939 | + | 1.91763i | 0.226326 | + | 0.164435i | ||||
\(137\) | 4.49191 | + | 13.8247i | 0.383770 | + | 1.18112i | 0.937369 | + | 0.348339i | \(0.113254\pi\) |
−0.553598 | + | 0.832784i | \(0.686746\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.61956 | − | 4.08285i | −0.476645 | − | 0.346303i | 0.323381 | − | 0.946269i | \(-0.395181\pi\) |
−0.800025 | + | 0.599966i | \(0.795181\pi\) | |||||||
\(140\) | 7.91624 | − | 5.75149i | 0.669045 | − | 0.486089i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 21.2682 | 1.78479 | ||||||||
\(143\) | −0.407675 | − | 19.4681i | −0.0340915 | − | 1.62800i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.05748 | + | 6.33227i | −0.170864 | + | 0.525866i | ||||
\(146\) | −28.8580 | + | 20.9666i | −2.38830 | + | 1.73521i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 5.78593 | + | 17.8072i | 0.475600 | + | 1.46375i | ||||
\(149\) | 4.31512 | + | 13.2806i | 0.353508 | + | 1.08799i | 0.956869 | + | 0.290519i | \(0.0938279\pi\) |
−0.603361 | + | 0.797468i | \(0.706172\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.10900 | − | 0.805737i | 0.0902492 | − | 0.0655699i | −0.541746 | − | 0.840543i | \(-0.682236\pi\) |
0.631995 | + | 0.774973i | \(0.282236\pi\) | |||||||
\(152\) | 15.3413 | − | 47.2158i | 1.24435 | − | 3.82971i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −5.29747 | + | 7.62196i | −0.426882 | + | 0.614195i | ||||
\(155\) | 1.28191 | 0.102965 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 12.8632 | − | 9.34563i | 1.02659 | − | 0.745863i | 0.0589681 | − | 0.998260i | \(-0.481219\pi\) |
0.967624 | + | 0.252397i | \(0.0812190\pi\) | |||||||
\(158\) | −13.9363 | − | 10.1253i | −1.10872 | − | 0.805529i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −15.5073 | − | 47.7266i | −1.22596 | − | 3.77312i | ||||
\(161\) | 1.11777 | + | 0.812107i | 0.0880926 | + | 0.0640030i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.23495 | − | 9.95614i | 0.253381 | − | 0.779825i | −0.740764 | − | 0.671766i | \(-0.765536\pi\) |
0.994144 | − | 0.108060i | \(-0.0344637\pi\) | |||||||
\(164\) | 48.4840 | 3.78596 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −5.63275 | −0.437186 | ||||||||
\(167\) | −2.64937 | + | 8.15393i | −0.205015 | + | 0.630970i | 0.794698 | + | 0.607005i | \(0.207629\pi\) |
−0.999713 | + | 0.0239655i | \(0.992371\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −17.3698 | − | 12.6199i | −1.33614 | − | 0.970760i | ||||
\(170\) | −0.441320 | − | 1.35824i | −0.0338477 | − | 0.104173i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 4.76905 | + | 3.46491i | 0.363636 | + | 0.264197i | ||||
\(173\) | −11.1216 | + | 8.08034i | −0.845562 | + | 0.614337i | −0.923919 | − | 0.382589i | \(-0.875033\pi\) |
0.0783569 | + | 0.996925i | \(0.475033\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.18541 | 0.165202 | ||||||||
\(176\) | 36.8017 | + | 48.4850i | 2.77403 | + | 3.65470i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.0729840 | − | 0.224622i | 0.00547038 | − | 0.0168361i | ||||
\(179\) | −3.11483 | + | 2.26306i | −0.232813 | + | 0.169149i | −0.698076 | − | 0.716024i | \(-0.745960\pi\) |
0.465262 | + | 0.885173i | \(0.345960\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −6.04339 | − | 18.5996i | −0.449201 | − | 1.38250i | −0.877810 | − | 0.479009i | \(-0.840996\pi\) |
0.428608 | − | 0.903490i | \(-0.359004\pi\) | |||||||
\(182\) | 5.07755 | + | 15.6271i | 0.376373 | + | 1.15836i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 11.9890 | − | 8.71054i | 0.883843 | − | 0.642149i | ||||
\(185\) | 1.66428 | − | 5.12212i | 0.122360 | − | 0.376586i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.609922 | + | 0.803553i | 0.0446019 | + | 0.0587616i | ||||
\(188\) | 15.0880 | 1.10040 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −17.5818 | + | 12.7740i | −1.27552 | + | 0.926720i | ||||
\(191\) | −2.05896 | − | 1.49592i | −0.148981 | − | 0.108241i | 0.510798 | − | 0.859701i | \(-0.329350\pi\) |
−0.659779 | + | 0.751460i | \(0.729350\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 6.68348 | + | 20.5696i | 0.481087 | + | 1.48063i | 0.837569 | + | 0.546332i | \(0.183976\pi\) |
−0.356482 | + | 0.934302i | \(0.616024\pi\) | |||||||
\(194\) | 2.34963 | + | 1.70711i | 0.168694 | + | 0.122563i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.80234 | − | 5.54703i | 0.128739 | − | 0.396217i | ||||
\(197\) | 22.0693 | 1.57237 | 0.786187 | − | 0.617989i | \(-0.212052\pi\) | ||||
0.786187 | + | 0.617989i | \(0.212052\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −12.8315 | −0.909598 | −0.454799 | − | 0.890594i | \(-0.650289\pi\) | ||||
−0.454799 | + | 0.890594i | \(0.650289\pi\) | |||||||
\(200\) | 7.24349 | − | 22.2932i | 0.512192 | − | 1.57636i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 44.5976 | + | 32.4021i | 3.13788 | + | 2.27980i | ||||
\(203\) | 1.22639 | + | 3.77444i | 0.0860756 | + | 0.264914i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −11.2826 | − | 8.19729i | −0.788011 | − | 0.572523i | ||||
\(206\) | −5.46268 | + | 3.96887i | −0.380603 | + | 0.276524i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 107.753 | 7.47132 | ||||||||
\(209\) | 8.76129 | − | 12.6057i | 0.606031 | − | 0.871953i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.48213 | + | 16.8723i | −0.377406 | + | 1.16154i | 0.564436 | + | 0.825477i | \(0.309094\pi\) |
−0.941841 | + | 0.336058i | \(0.890906\pi\) | |||||||
\(212\) | −6.85958 | + | 4.98378i | −0.471118 | + | 0.342287i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −8.01057 | − | 24.6540i | −0.547591 | − | 1.68531i | ||||
\(215\) | −0.523973 | − | 1.61262i | −0.0357347 | − | 0.109980i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.618169 | − | 0.449126i | 0.0419640 | − | 0.0304887i | ||||
\(218\) | 7.18270 | − | 22.1061i | 0.486474 | − | 1.49721i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.679445 | − | 32.4461i | −0.0458082 | − | 2.18752i | ||||
\(221\) | 1.78581 | 0.120127 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −13.8483 | + | 10.0614i | −0.927349 | + | 0.673759i | −0.945342 | − | 0.326080i | \(-0.894272\pi\) |
0.0179932 | + | 0.999838i | \(0.494272\pi\) | |||||||
\(224\) | −24.1994 | − | 17.5819i | −1.61689 | − | 1.17474i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 4.73896 | + | 14.5850i | 0.315231 | + | 0.970180i | ||||
\(227\) | −16.5744 | − | 12.0420i | −1.10008 | − | 0.799256i | −0.119008 | − | 0.992893i | \(-0.537971\pi\) |
−0.981073 | + | 0.193637i | \(0.937971\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 7.55058 | − | 23.2383i | 0.498956 | − | 1.53563i | −0.311743 | − | 0.950167i | \(-0.600913\pi\) |
0.810699 | − | 0.585463i | \(-0.199087\pi\) | |||||||
\(230\) | −6.48712 | −0.427748 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 42.5674 | 2.79469 | ||||||||
\(233\) | 7.32533 | − | 22.5450i | 0.479898 | − | 1.47697i | −0.359338 | − | 0.933207i | \(-0.616998\pi\) |
0.839236 | − | 0.543767i | \(-0.183002\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −3.51108 | − | 2.55095i | −0.229038 | − | 0.166406i | ||||
\(236\) | 4.49584 | + | 13.8368i | 0.292654 | + | 0.900696i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.688687 | − | 0.500360i | −0.0446410 | − | 0.0324336i | ||||
\(239\) | −1.27822 | + | 0.928682i | −0.0826813 | + | 0.0600714i | −0.628358 | − | 0.777924i | \(-0.716273\pi\) |
0.545677 | + | 0.837996i | \(0.316273\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −12.2382 | −0.788333 | −0.394167 | − | 0.919039i | \(-0.628967\pi\) | ||||
−0.394167 | + | 0.919039i | \(0.628967\pi\) | |||||||
\(242\) | 10.7305 | + | 28.8546i | 0.689784 | + | 1.85484i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 6.11525 | − | 18.8208i | 0.391489 | − | 1.20488i | ||||
\(245\) | −1.35727 | + | 0.986111i | −0.0867125 | + | 0.0630003i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −8.39758 | − | 25.8451i | −0.534325 | − | 1.64448i | ||||
\(248\) | −2.53258 | − | 7.79449i | −0.160819 | − | 0.494950i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −27.2940 | + | 19.8302i | −1.72622 | + | 1.25417i | ||||
\(251\) | −5.99825 | + | 18.4607i | −0.378606 | + | 1.16523i | 0.562407 | + | 0.826861i | \(0.309875\pi\) |
−0.941013 | + | 0.338370i | \(0.890125\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.32750 | − | 1.50696i | 0.272068 | − | 0.0947420i | ||||
\(254\) | −56.1345 | −3.52219 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −86.3587 | + | 62.7432i | −5.39742 | + | 3.92145i | ||||
\(257\) | −0.218519 | − | 0.158763i | −0.0136308 | − | 0.00990337i | 0.580949 | − | 0.813940i | \(-0.302682\pi\) |
−0.594580 | + | 0.804037i | \(0.702682\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.992016 | − | 3.05311i | −0.0616408 | − | 0.189711i | ||||
\(260\) | −46.4773 | − | 33.7678i | −2.88240 | − | 2.09419i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 3.65043 | − | 11.2349i | 0.225524 | − | 0.694092i | ||||
\(263\) | −27.9927 | −1.72611 | −0.863053 | − | 0.505113i | \(-0.831451\pi\) | ||||
−0.863053 | + | 0.505113i | \(0.831451\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.43889 | 0.149820 | ||||||||
\(266\) | −4.00297 | + | 12.3199i | −0.245438 | + | 0.755379i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −29.1079 | − | 21.1481i | −1.77805 | − | 1.29183i | ||||
\(269\) | −0.345128 | − | 1.06220i | −0.0210428 | − | 0.0647632i | 0.939984 | − | 0.341219i | \(-0.110840\pi\) |
−0.961027 | + | 0.276456i | \(0.910840\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −20.0887 | − | 14.5953i | −1.22030 | − | 0.886600i | −0.224175 | − | 0.974549i | \(-0.571969\pi\) |
−0.996125 | + | 0.0879490i | \(0.971969\pi\) | |||||||
\(272\) | −4.51626 | + | 3.28126i | −0.273839 | + | 0.198955i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −40.6817 | −2.45767 | ||||||||
\(275\) | 4.13668 | − | 5.95183i | 0.249451 | − | 0.358909i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −3.84216 | + | 11.8250i | −0.230853 | + | 0.710493i | 0.766791 | + | 0.641897i | \(0.221852\pi\) |
−0.997644 | + | 0.0685967i | \(0.978148\pi\) | |||||||
\(278\) | 15.7272 | − | 11.4265i | 0.943256 | − | 0.685316i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 5.56059 | + | 17.1137i | 0.332309 | + | 1.02274i | ||||
\(281\) | 2.08141 | + | 6.40594i | 0.124167 | + | 0.382146i | 0.993748 | − | 0.111643i | \(-0.0356114\pi\) |
−0.869582 | + | 0.493789i | \(0.835611\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 9.02913 | − | 6.56005i | 0.536726 | − | 0.389954i | −0.286142 | − | 0.958187i | \(-0.592373\pi\) |
0.822868 | + | 0.568233i | \(0.192373\pi\) | |||||||
\(284\) | −13.6968 | + | 42.1543i | −0.812753 | + | 2.50140i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 52.1704 | + | 15.7515i | 3.08490 | + | 0.931408i | ||||
\(287\) | −8.31274 | −0.490685 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 13.6784 | − | 9.93797i | 0.804614 | − | 0.584586i | ||||
\(290\) | −15.0751 | − | 10.9527i | −0.885242 | − | 0.643166i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −22.9718 | − | 70.7000i | −1.34432 | − | 4.13740i | ||||
\(293\) | −13.6731 | − | 9.93412i | −0.798794 | − | 0.580358i | 0.111766 | − | 0.993735i | \(-0.464349\pi\) |
−0.910560 | + | 0.413377i | \(0.864349\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.29319 | − | 3.98004i | 0.0752926 | − | 0.231727i | ||||
\(296\) | −34.4324 | −2.00134 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −39.0805 | −2.26388 | ||||||||
\(299\) | 2.50668 | − | 7.71477i | 0.144965 | − | 0.446157i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.817668 | − | 0.594071i | −0.0471296 | − | 0.0342417i | ||||
\(302\) | 1.18551 | + | 3.64864i | 0.0682187 | + | 0.209956i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 68.7249 | + | 49.9316i | 3.94165 | + | 2.86377i | ||||
\(305\) | −4.60514 | + | 3.34583i | −0.263689 | + | 0.191582i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −11.3453 | −0.647511 | −0.323755 | − | 0.946141i | \(-0.604946\pi\) | ||||
−0.323755 | + | 0.946141i | \(0.604946\pi\) | |||||||
\(308\) | −11.6954 | − | 15.4083i | −0.666407 | − | 0.877970i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1.10864 | + | 3.41203i | −0.0629663 | + | 0.193790i | ||||
\(311\) | 19.2940 | − | 14.0179i | 1.09406 | − | 0.794884i | 0.113983 | − | 0.993483i | \(-0.463639\pi\) |
0.980081 | + | 0.198599i | \(0.0636391\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 9.56921 | + | 29.4510i | 0.540884 | + | 1.66467i | 0.730580 | + | 0.682827i | \(0.239250\pi\) |
−0.189696 | + | 0.981843i | \(0.560750\pi\) | |||||||
\(314\) | 13.7506 | + | 42.3201i | 0.775993 | + | 2.38826i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 29.0438 | − | 21.1015i | 1.63384 | − | 1.18705i | ||||
\(317\) | −0.991557 | + | 3.05170i | −0.0556914 | + | 0.171401i | −0.975033 | − | 0.222060i | \(-0.928722\pi\) |
0.919342 | + | 0.393460i | \(0.128722\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 12.6008 | + | 3.80449i | 0.705510 | + | 0.213011i | ||||
\(320\) | 78.8637 | 4.40862 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −3.12826 | + | 2.27281i | −0.174331 | + | 0.126659i | ||||
\(323\) | 1.13899 | + | 0.827528i | 0.0633753 | + | 0.0460449i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3.96495 | − | 12.2029i | −0.219936 | − | 0.676894i | ||||
\(326\) | 23.7024 | + | 17.2208i | 1.31275 | + | 0.953772i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −27.5523 | + | 84.7973i | −1.52132 | + | 4.68215i | ||||
\(329\) | −2.58688 | −0.142619 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.98424 | −0.218994 | −0.109497 | − | 0.993987i | \(-0.534924\pi\) | ||||
−0.109497 | + | 0.993987i | \(0.534924\pi\) | |||||||
\(332\) | 3.62750 | − | 11.1643i | 0.199085 | − | 0.612720i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −19.4119 | − | 14.1036i | −1.06217 | − | 0.771714i | ||||
\(335\) | 3.19808 | + | 9.84266i | 0.174730 | + | 0.537762i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 9.14237 | + | 6.64232i | 0.498017 | + | 0.361830i | 0.808259 | − | 0.588827i | \(-0.200410\pi\) |
−0.310242 | + | 0.950658i | \(0.600410\pi\) | |||||||
\(338\) | 48.6121 | − | 35.3187i | 2.64415 | − | 1.92109i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 2.97629 | 0.161412 | ||||||||
\(341\) | −0.0530569 | − | 2.53367i | −0.00287319 | − | 0.137206i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −0.309017 | + | 0.951057i | −0.0166853 | + | 0.0513522i | ||||
\(344\) | −8.77019 | + | 6.37191i | −0.472857 | + | 0.343550i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −11.8889 | − | 36.5904i | −0.639154 | − | 1.96711i | ||||
\(347\) | −2.03593 | − | 6.26594i | −0.109294 | − | 0.336373i | 0.881420 | − | 0.472333i | \(-0.156588\pi\) |
−0.990714 | + | 0.135960i | \(0.956588\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −16.5317 | + | 12.0110i | −0.884923 | + | 0.642934i | −0.934549 | − | 0.355834i | \(-0.884197\pi\) |
0.0496266 | + | 0.998768i | \(0.484197\pi\) | |||||||
\(350\) | −1.89002 | + | 5.81688i | −0.101026 | + | 0.310925i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −93.6892 | + | 32.6254i | −4.99365 | + | 1.73894i | ||||
\(353\) | −36.5457 | −1.94513 | −0.972565 | − | 0.232630i | \(-0.925267\pi\) | ||||
−0.972565 | + | 0.232630i | \(0.925267\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 10.3144 | − | 7.49388i | 0.547434 | − | 0.397734i | ||||
\(356\) | 0.398205 | + | 0.289313i | 0.0211048 | + | 0.0153336i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −3.32973 | − | 10.2479i | −0.175982 | − | 0.541616i | ||||
\(359\) | 0.254415 | + | 0.184843i | 0.0134275 | + | 0.00975564i | 0.594479 | − | 0.804111i | \(-0.297358\pi\) |
−0.581051 | + | 0.813867i | \(0.697358\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.749035 | − | 2.30529i | 0.0394229 | − | 0.121331i | ||||
\(362\) | 54.7328 | 2.87669 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −34.2434 | −1.79484 | ||||||||
\(365\) | −6.60767 | + | 20.3363i | −0.345861 | + | 1.06445i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −18.3608 | − | 13.3399i | −0.958426 | − | 0.696337i | −0.00564133 | − | 0.999984i | \(-0.501796\pi\) |
−0.952785 | + | 0.303647i | \(0.901796\pi\) | |||||||
\(368\) | 7.83581 | + | 24.1162i | 0.408470 | + | 1.25714i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 12.1941 | + | 8.85956i | 0.633943 | + | 0.460587i | ||||
\(371\) | 1.17610 | − | 0.854485i | 0.0610599 | − | 0.0443626i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 32.8020 | 1.69843 | 0.849213 | − | 0.528051i | \(-0.177077\pi\) | ||||
0.849213 | + | 0.528051i | \(0.177077\pi\) | |||||||
\(374\) | −2.66629 | + | 0.928480i | −0.137870 | + | 0.0480106i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −8.57413 | + | 26.3885i | −0.442177 | + | 1.36088i | ||||
\(377\) | 18.8506 | − | 13.6958i | 0.970856 | − | 0.705368i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 7.86491 | + | 24.2057i | 0.403993 | + | 1.24336i | 0.921733 | + | 0.387825i | \(0.126773\pi\) |
−0.517740 | + | 0.855538i | \(0.673227\pi\) | |||||||
\(380\) | −13.9957 | − | 43.0742i | −0.717962 | − | 2.20966i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 5.76234 | − | 4.18658i | 0.294827 | − | 0.214204i | ||||
\(383\) | 4.31159 | − | 13.2697i | 0.220312 | − | 0.678050i | −0.778422 | − | 0.627742i | \(-0.783979\pi\) |
0.998734 | − | 0.0503087i | \(-0.0160205\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.116493 | + | 5.56299i | 0.00593703 | + | 0.283516i | ||||
\(386\) | −60.5299 | −3.08089 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −4.89670 | + | 3.55766i | −0.248592 | + | 0.180613i | ||||
\(389\) | −7.33758 | − | 5.33107i | −0.372030 | − | 0.270296i | 0.386022 | − | 0.922490i | \(-0.373849\pi\) |
−0.758052 | + | 0.652194i | \(0.773849\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.129865 | + | 0.399683i | 0.00656754 | + | 0.0202128i | ||||
\(392\) | 8.67739 | + | 6.30449i | 0.438275 | + | 0.318425i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −19.0863 | + | 58.7415i | −0.961553 | + | 2.95936i | ||||
\(395\) | −10.3264 | −0.519577 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 24.1849 | 1.21381 | 0.606904 | − | 0.794775i | \(-0.292411\pi\) | ||||
0.606904 | + | 0.794775i | \(0.292411\pi\) | |||||||
\(398\) | 11.0971 | − | 34.1533i | 0.556246 | − | 1.71195i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 32.4488 | + | 23.5754i | 1.62244 | + | 1.17877i | ||||
\(401\) | −1.19394 | − | 3.67458i | −0.0596226 | − | 0.183500i | 0.916809 | − | 0.399325i | \(-0.130756\pi\) |
−0.976432 | + | 0.215826i | \(0.930756\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.62935 | − | 2.63688i | −0.180791 | − | 0.131352i | ||||
\(404\) | −92.9429 | + | 67.5269i | −4.62408 | + | 3.35959i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −11.1070 | −0.551230 | ||||||||
\(407\) | −10.1927 | − | 3.07742i | −0.505233 | − | 0.152542i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 6.21077 | − | 19.1148i | 0.307103 | − | 0.945166i | −0.671781 | − | 0.740750i | \(-0.734470\pi\) |
0.978884 | − | 0.204416i | \(-0.0655296\pi\) | |||||||
\(410\) | 31.5761 | − | 22.9414i | 1.55943 | − | 1.13300i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −4.34845 | − | 13.3832i | −0.214233 | − | 0.659341i | ||||
\(413\) | −0.770825 | − | 2.37236i | −0.0379298 | − | 0.116736i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.73172 | + | 1.98471i | −0.134095 | + | 0.0974255i | ||||
\(416\) | −54.2690 | + | 167.023i | −2.66075 | + | 8.18896i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 25.9753 | + | 34.2216i | 1.27049 | + | 1.67383i | ||||
\(419\) | 2.12825 | 0.103972 | 0.0519859 | − | 0.998648i | \(-0.483445\pi\) | ||||
0.0519859 | + | 0.998648i | \(0.483445\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.11470 | − | 2.26296i | 0.151801 | − | 0.110290i | −0.509292 | − | 0.860594i | \(-0.670093\pi\) |
0.661093 | + | 0.750304i | \(0.270093\pi\) | |||||||
\(422\) | −40.1675 | − | 29.1834i | −1.95532 | − | 1.42063i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −4.81837 | − | 14.8294i | −0.234000 | − | 0.720179i | ||||
\(425\) | 0.537781 | + | 0.390721i | 0.0260862 | + | 0.0189528i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.04848 | + | 3.22689i | −0.0507395 | + | 0.156160i | ||||
\(428\) | 54.0238 | 2.61134 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 4.74544 | 0.228846 | ||||||||
\(431\) | 5.16151 | − | 15.8855i | 0.248621 | − | 0.765177i | −0.746399 | − | 0.665499i | \(-0.768219\pi\) |
0.995020 | − | 0.0996781i | \(-0.0317813\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −13.6898 | − | 9.94621i | −0.657889 | − | 0.477984i | 0.208060 | − | 0.978116i | \(-0.433285\pi\) |
−0.865949 | + | 0.500132i | \(0.833285\pi\) | |||||||
\(434\) | 0.660818 | + | 2.03379i | 0.0317203 | + | 0.0976250i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 39.1893 | + | 28.4727i | 1.87683 | + | 1.36359i | ||||
\(437\) | 5.17371 | − | 3.75892i | 0.247492 | − | 0.179813i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −26.7946 | −1.27883 | −0.639417 | − | 0.768860i | \(-0.720824\pi\) | ||||
−0.639417 | + | 0.768860i | \(0.720824\pi\) | |||||||
\(440\) | 57.1336 | + | 17.2500i | 2.72374 | + | 0.822363i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −1.54443 | + | 4.75327i | −0.0734611 | + | 0.226090i | ||||
\(443\) | −3.17465 | + | 2.30652i | −0.150832 | + | 0.109586i | −0.660642 | − | 0.750701i | \(-0.729716\pi\) |
0.509810 | + | 0.860287i | \(0.329716\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.0437507 | − | 0.134651i | −0.00207398 | − | 0.00638306i | ||||
\(446\) | −14.8037 | − | 45.5611i | −0.700976 | − | 2.15738i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 38.0301 | − | 27.6305i | 1.79675 | − | 1.30542i | ||||
\(449\) | −6.08099 | + | 18.7154i | −0.286980 | + | 0.883233i | 0.698819 | + | 0.715299i | \(0.253709\pi\) |
−0.985798 | + | 0.167934i | \(0.946291\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −15.7349 | + | 22.6392i | −0.740925 | + | 1.06604i | ||||
\(452\) | −31.9598 | −1.50326 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 46.3861 | − | 33.7015i | 2.17701 | − | 1.58169i | ||||
\(455\) | 7.96869 | + | 5.78959i | 0.373578 | + | 0.271420i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 6.11005 | + | 18.8048i | 0.285816 | + | 0.879652i | 0.986153 | + | 0.165839i | \(0.0530332\pi\) |
−0.700337 | + | 0.713813i | \(0.746967\pi\) | |||||||
\(458\) | 55.3230 | + | 40.1945i | 2.58507 | + | 1.87817i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 4.17771 | − | 12.8577i | 0.194787 | − | 0.599492i | ||||
\(461\) | −9.69184 | −0.451394 | −0.225697 | − | 0.974198i | \(-0.572466\pi\) | ||||
−0.225697 | + | 0.974198i | \(0.572466\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 7.21162 | 0.335152 | 0.167576 | − | 0.985859i | \(-0.446406\pi\) | ||||
0.167576 | + | 0.985859i | \(0.446406\pi\) | |||||||
\(464\) | −22.5079 | + | 69.2723i | −1.04490 | + | 3.21588i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 53.6726 | + | 38.9954i | 2.48633 | + | 1.80643i | ||||
\(467\) | −11.3013 | − | 34.7818i | −0.522962 | − | 1.60951i | −0.768311 | − | 0.640077i | \(-0.778902\pi\) |
0.245349 | − | 0.969435i | \(-0.421098\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 4.99065 | + | 3.62592i | 0.230447 | + | 0.167429i | ||||
\(470\) | 9.82633 | − | 7.13924i | 0.453255 | − | 0.329309i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −26.7550 | −1.23150 | ||||||||
\(473\) | −3.16564 | + | 1.10237i | −0.145556 | + | 0.0506871i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 3.12583 | − | 9.62032i | 0.143423 | − | 0.441411i | ||||
\(476\) | 1.43525 | − | 1.04277i | 0.0657844 | − | 0.0477951i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −1.36641 | − | 4.20538i | −0.0624981 | − | 0.192349i | ||||
\(479\) | −12.0424 | − | 37.0626i | −0.550229 | − | 1.69343i | −0.708220 | − | 0.705992i | \(-0.750502\pi\) |
0.157991 | − | 0.987441i | \(-0.449498\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −15.2481 | + | 11.0784i | −0.695254 | + | 0.505131i | ||||
\(482\) | 10.5840 | − | 32.5743i | 0.482089 | − | 1.48372i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −64.1012 | + | 2.68583i | −2.91369 | + | 0.122083i | ||||
\(485\) | 1.74100 | 0.0790548 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 19.4030 | − | 14.0971i | 0.879235 | − | 0.638802i | −0.0538139 | − | 0.998551i | \(-0.517138\pi\) |
0.933049 | + | 0.359749i | \(0.117138\pi\) | |||||||
\(488\) | 29.4420 | + | 21.3908i | 1.33278 | + | 0.968318i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.45091 | − | 4.46543i | −0.0655453 | − | 0.201728i | ||||
\(491\) | 2.58327 | + | 1.87686i | 0.116581 | + | 0.0847014i | 0.644548 | − | 0.764564i | \(-0.277045\pi\) |
−0.527967 | + | 0.849265i | \(0.677045\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.373029 | + | 1.14807i | −0.0168004 | + | 0.0517063i | ||||
\(494\) | 76.0539 | 3.42183 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 14.0235 | 0.629674 | ||||||||
\(497\) | 2.34835 | − | 7.22749i | 0.105338 | − | 0.324197i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −22.2747 | − | 16.1835i | −0.997154 | − | 0.724475i | −0.0356777 | − | 0.999363i | \(-0.511359\pi\) |
−0.961476 | + | 0.274889i | \(0.911359\pi\) | |||||||
\(500\) | −21.7268 | − | 66.8682i | −0.971652 | − | 2.99044i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −43.9491 | − | 31.9309i | −1.96154 | − | 1.42515i | ||||
\(503\) | −26.8244 | + | 19.4891i | −1.19604 | + | 0.868976i | −0.993890 | − | 0.110378i | \(-0.964794\pi\) |
−0.202153 | + | 0.979354i | \(0.564794\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 33.0454 | 1.47050 | ||||||||
\(506\) | 0.268496 | + | 12.8217i | 0.0119361 | + | 0.569994i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 36.1507 | − | 111.260i | 1.60393 | − | 4.93638i | ||||
\(509\) | −6.22522 | + | 4.52288i | −0.275928 | + | 0.200473i | −0.717139 | − | 0.696930i | \(-0.754549\pi\) |
0.441211 | + | 0.897403i | \(0.354549\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.93859 | + | 12.1217i | 0.174233 | + | 0.536234i | ||||
\(512\) | −47.9823 | − | 147.674i | −2.12054 | − | 6.52635i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0.611559 | − | 0.444324i | 0.0269747 | − | 0.0195983i | ||||
\(515\) | −1.25080 | + | 3.84956i | −0.0551168 | + | 0.169632i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −4.89660 | + | 7.04519i | −0.215352 | + | 0.309847i | ||||
\(518\) | 8.98434 | 0.394749 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 85.4709 | − | 62.0983i | 3.74815 | − | 2.72319i | ||||
\(521\) | −6.55164 | − | 4.76004i | −0.287032 | − | 0.208541i | 0.434946 | − | 0.900456i | \(-0.356767\pi\) |
−0.721979 | + | 0.691915i | \(0.756767\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 5.98036 | + | 18.4056i | 0.261503 | + | 0.804823i | 0.992478 | + | 0.122419i | \(0.0390653\pi\) |
−0.730976 | + | 0.682404i | \(0.760935\pi\) | |||||||
\(524\) | 19.9170 | + | 14.4705i | 0.870077 | + | 0.632148i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 24.2091 | − | 74.5078i | 1.05557 | − | 3.24870i | ||||
\(527\) | 0.232415 | 0.0101241 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −21.0911 | −0.917003 | ||||||||
\(530\) | −2.10924 | + | 6.49156i | −0.0916194 | + | 0.281976i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −21.8404 | − | 15.8680i | −0.946904 | − | 0.687966i | ||||
\(533\) | 15.0816 | + | 46.4165i | 0.653258 | + | 2.01052i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −12.5718 | − | 9.13391i | −0.543524 | − | 0.394893i | ||||
\(536\) | 53.5289 | − | 38.8910i | 2.31210 | − | 1.67984i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 3.12571 | 0.134759 | ||||||||
\(539\) | 2.00521 | + | 2.64180i | 0.0863706 | + | 0.113791i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −8.83427 | + | 27.1891i | −0.379815 | + | 1.16895i | 0.560357 | + | 0.828251i | \(0.310664\pi\) |
−0.940172 | + | 0.340700i | \(0.889336\pi\) | |||||||
\(542\) | 56.2214 | − | 40.8472i | 2.41491 | − | 1.75454i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −2.81154 | − | 8.65302i | −0.120544 | − | 0.370995i | ||||
\(545\) | −4.30571 | − | 13.2516i | −0.184436 | − | 0.567637i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −18.9243 | + | 13.7493i | −0.809143 | + | 0.587877i | −0.913582 | − | 0.406654i | \(-0.866695\pi\) |
0.104439 | + | 0.994531i | \(0.466695\pi\) | |||||||
\(548\) | 26.1991 | − | 80.6324i | 1.11917 | − | 3.44445i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 12.2643 | + | 16.1579i | 0.522953 | + | 0.688974i | ||||
\(551\) | 18.3694 | 0.782564 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −4.97965 | + | 3.61793i | −0.211756 | + | 0.153850i | ||||
\(554\) | −28.1515 | − | 20.4532i | −1.19604 | − | 0.868975i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 12.5193 | + | 38.5305i | 0.530938 | + | 1.63406i | ||||
\(557\) | 20.5782 | + | 14.9510i | 0.871927 | + | 0.633492i | 0.931103 | − | 0.364755i | \(-0.118847\pi\) |
−0.0591762 | + | 0.998248i | \(0.518847\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.83368 | + | 5.64349i | −0.0775565 | + | 0.238694i | ||||
\(560\) | −30.7903 | −1.30113 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −18.8506 | −0.795167 | ||||||||
\(563\) | −12.3233 | + | 37.9273i | −0.519366 | + | 1.59844i | 0.255829 | + | 0.966722i | \(0.417652\pi\) |
−0.775195 | + | 0.631722i | \(0.782348\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 7.43730 | + | 5.40351i | 0.312890 | + | 0.227328i | ||||
\(566\) | 9.65207 | + | 29.7060i | 0.405707 | + | 1.24864i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −65.9432 | − | 47.9106i | −2.76692 | − | 2.01028i | ||||
\(569\) | 26.0897 | − | 18.9553i | 1.09374 | − | 0.794648i | 0.113712 | − | 0.993514i | \(-0.463726\pi\) |
0.980027 | + | 0.198866i | \(0.0637258\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −20.6844 | −0.865615 | −0.432807 | − | 0.901486i | \(-0.642477\pi\) | ||||
−0.432807 | + | 0.901486i | \(0.642477\pi\) | |||||||
\(572\) | −64.8179 | + | 93.2595i | −2.71017 | + | 3.89937i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 7.18913 | − | 22.1259i | 0.300069 | − | 0.923516i | ||||
\(575\) | 2.44279 | − | 1.77479i | 0.101871 | − | 0.0740139i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 4.85769 | + | 14.9504i | 0.202228 | + | 0.622394i | 0.999816 | + | 0.0191913i | \(0.00610914\pi\) |
−0.797588 | + | 0.603203i | \(0.793891\pi\) | |||||||
\(578\) | 14.6222 | + | 45.0024i | 0.608201 | + | 1.87185i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 31.4170 | − | 22.8258i | 1.30452 | − | 0.947790i | ||||
\(581\) | −0.621946 | + | 1.91415i | −0.0258027 | + | 0.0794125i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.100943 | − | 4.82044i | −0.00418065 | − | 0.199642i | ||||
\(584\) | 136.707 | 5.65697 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 38.2665 | − | 27.8022i | 1.58077 | − | 1.14850i | ||||
\(587\) | 16.6401 | + | 12.0898i | 0.686812 | + | 0.498998i | 0.875611 | − | 0.483018i | \(-0.160459\pi\) |
−0.188799 | + | 0.982016i | \(0.560459\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.09290 | − | 3.36361i | −0.0450323 | − | 0.138595i | ||||
\(590\) | 9.47521 | + | 6.88414i | 0.390088 | + | 0.283416i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 18.2065 | − | 56.0337i | 0.748281 | − | 2.30297i | ||||
\(593\) | −21.1496 | −0.868511 | −0.434255 | − | 0.900790i | \(-0.642988\pi\) | ||||
−0.434255 | + | 0.900790i | \(0.642988\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.510295 | −0.0209201 | ||||||||
\(596\) | 25.1679 | − | 77.4589i | 1.03092 | − | 3.17284i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 18.3664 | + | 13.3440i | 0.751058 | + | 0.545676i | ||||
\(599\) | 10.4136 | + | 32.0499i | 0.425490 | + | 1.30952i | 0.902524 | + | 0.430639i | \(0.141712\pi\) |
−0.477034 | + | 0.878885i | \(0.658288\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 29.7628 | + | 21.6239i | 1.21405 | + | 0.882059i | 0.995592 | − | 0.0937876i | \(-0.0298974\pi\) |
0.218458 | + | 0.975846i | \(0.429897\pi\) | |||||||
\(602\) | 2.28838 | − | 1.66260i | 0.0932672 | − | 0.0677626i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −7.99519 | −0.325320 | ||||||||
\(605\) | 15.3709 | + | 10.2127i | 0.624917 | + | 0.415205i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 3.72718 | − | 11.4711i | 0.151282 | − | 0.465597i | −0.846483 | − | 0.532415i | \(-0.821285\pi\) |
0.997765 | + | 0.0668177i | \(0.0212846\pi\) | |||||||
\(608\) | −112.009 | + | 81.3796i | −4.54258 | + | 3.30038i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −4.92286 | − | 15.1510i | −0.199321 | − | 0.613446i | ||||
\(611\) | 4.69332 | + | 14.4446i | 0.189872 | + | 0.584365i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −6.93847 | + | 5.04109i | −0.280242 | + | 0.203608i | −0.719023 | − | 0.694986i | \(-0.755410\pi\) |
0.438781 | + | 0.898594i | \(0.355410\pi\) | |||||||
\(614\) | 9.81180 | − | 30.1976i | 0.395972 | − | 1.21868i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 33.5950 | − | 11.6988i | 1.35358 | − | 0.471357i | ||||
\(617\) | 0.0309560 | 0.00124624 | 0.000623121 | − | 1.00000i | \(-0.499802\pi\) | ||||
0.000623121 | 1.00000i | \(0.499802\pi\) | ||||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 17.2270 | − | 12.5162i | 0.692412 | − | 0.503067i | −0.185040 | − | 0.982731i | \(-0.559241\pi\) |
0.877452 | + | 0.479664i | \(0.159241\pi\) | |||||||
\(620\) | −6.04879 | − | 4.39471i | −0.242925 | − | 0.176496i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 20.6252 | + | 63.4778i | 0.826994 | + | 2.54523i | ||||
\(623\) | −0.0682736 | − | 0.0496037i | −0.00273532 | − | 0.00198733i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −2.87290 | + | 8.84187i | −0.114916 | + | 0.353675i | ||||
\(626\) | −86.6650 | −3.46383 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −92.7351 | −3.70053 | ||||||||
\(629\) | 0.301740 | − | 0.928660i | 0.0120312 | − | 0.0370281i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −17.6281 | − | 12.8075i | −0.701762 | − | 0.509860i | 0.178744 | − | 0.983896i | \(-0.442797\pi\) |
−0.880506 | + | 0.474036i | \(0.842797\pi\) | |||||||
\(632\) | 20.4012 | + | 62.7883i | 0.811515 | + | 2.49759i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −7.26513 | − | 5.27842i | −0.288535 | − | 0.209633i | ||||
\(635\) | −27.2235 | + | 19.7791i | −1.08033 | + | 0.784908i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 5.87113 | 0.232623 | ||||||||
\(638\) | −21.0240 | + | 30.2491i | −0.832346 | + | 1.19757i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −37.1893 | + | 114.457i | −1.47004 | + | 4.52431i | ||||
\(641\) | −32.2773 | + | 23.4508i | −1.27487 | + | 0.926251i | −0.999385 | − | 0.0350534i | \(-0.988840\pi\) |
−0.275489 | + | 0.961304i | \(0.588840\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 2.21134 | + | 6.80580i | 0.0872067 | + | 0.268395i | 0.985144 | − | 0.171728i | \(-0.0549350\pi\) |
−0.897938 | + | 0.440123i | \(0.854935\pi\) | |||||||
\(644\) | −2.49018 | − | 7.66400i | −0.0981270 | − | 0.302004i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −3.18766 | + | 2.31597i | −0.125417 | + | 0.0911205i | ||||
\(647\) | 1.46751 | − | 4.51654i | 0.0576938 | − | 0.177563i | −0.918057 | − | 0.396449i | \(-0.870242\pi\) |
0.975750 | + | 0.218886i | \(0.0702423\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −7.92002 | − | 2.39125i | −0.310888 | − | 0.0938647i | ||||
\(650\) | 35.9092 | 1.40848 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −49.3966 | + | 35.8887i | −1.93452 | + | 1.40551i | ||||
\(653\) | −4.07243 | − | 2.95879i | −0.159366 | − | 0.115786i | 0.505244 | − | 0.862976i | \(-0.331402\pi\) |
−0.664610 | + | 0.747190i | \(0.731402\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −2.18827 | − | 6.73480i | −0.0855028 | − | 0.263151i | ||||
\(656\) | −123.427 | − | 89.6747i | −4.81900 | − | 3.50121i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 2.23722 | − | 6.88545i | 0.0872159 | − | 0.268423i | ||||
\(659\) | −6.55136 | −0.255205 | −0.127602 | − | 0.991825i | \(-0.540728\pi\) | ||||
−0.127602 | + | 0.991825i | \(0.540728\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 36.4255 | 1.41679 | 0.708394 | − | 0.705818i | \(-0.249420\pi\) | ||||
0.708394 | + | 0.705818i | \(0.249420\pi\) | |||||||
\(662\) | 3.44570 | − | 10.6048i | 0.133921 | − | 0.412167i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 17.4647 | + | 12.6888i | 0.677760 | + | 0.492421i | ||||
\(665\) | 2.39960 | + | 7.38521i | 0.0930526 | + | 0.286386i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 4.43607 | + | 3.22299i | 0.171765 | + | 0.124795i | ||||
\(668\) | 40.4551 | − | 29.3923i | 1.56525 | − | 1.13722i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −28.9639 | −1.11897 | ||||||||
\(671\) | 6.80359 | + | 8.96351i | 0.262650 | + | 0.346033i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 9.88569 | − | 30.4250i | 0.381065 | − | 1.17280i | −0.558229 | − | 0.829687i | \(-0.688519\pi\) |
0.939295 | − | 0.343112i | \(-0.111481\pi\) | |||||||
\(674\) | −25.5864 | + | 18.5896i | −0.985551 | + | 0.716044i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 38.6966 | + | 119.096i | 1.48833 | + | 4.58062i | ||||
\(677\) | 6.68766 | + | 20.5825i | 0.257028 | + | 0.791050i | 0.993423 | + | 0.114499i | \(0.0365263\pi\) |
−0.736396 | + | 0.676551i | \(0.763474\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.839556 | − | 0.609973i | 0.0322192 | − | 0.0234086i | ||||
\(680\) | −1.69136 | + | 5.20546i | −0.0648606 | + | 0.199620i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 6.78972 | + | 2.04998i | 0.259992 | + | 0.0784980i | ||||
\(683\) | 23.1587 | 0.886144 | 0.443072 | − | 0.896486i | \(-0.353889\pi\) | ||||
0.443072 | + | 0.896486i | \(0.353889\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −19.7294 | + | 14.3343i | −0.753822 | + | 0.547684i | ||||
\(686\) | −2.26416 | − | 1.64501i | −0.0864461 | − | 0.0628068i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −5.73204 | − | 17.6414i | −0.218532 | − | 0.672572i | ||||
\(689\) | −6.90503 | − | 5.01680i | −0.263061 | − | 0.191125i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0.833105 | − | 2.56403i | 0.0316928 | − | 0.0975404i | −0.933959 | − | 0.357381i | \(-0.883670\pi\) |
0.965652 | + | 0.259840i | \(0.0836699\pi\) | |||||||
\(692\) | 80.1798 | 3.04798 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 18.4387 | 0.699923 | ||||||||
\(695\) | 3.60109 | − | 11.0830i | 0.136597 | − | 0.420403i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.04558 | − | 1.48620i | −0.0774818 | − | 0.0562938i | ||||
\(698\) | −17.6723 | − | 54.3897i | −0.668906 | − | 2.05868i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −10.3121 | − | 7.49216i | −0.389760 | − | 0.283177i | ||||
\(701\) | 0.361861 | − | 0.262907i | 0.0136673 | − | 0.00992987i | −0.580931 | − | 0.813953i | \(-0.697311\pi\) |
0.594598 | + | 0.804023i | \(0.297311\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −14.8589 | −0.560413 | ||||||||
\(704\) | −3.26409 | − | 155.873i | −0.123020 | − | 5.87469i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 31.6059 | − | 97.2731i | 1.18950 | − | 3.66092i | ||||
\(707\) | 15.9354 | − | 11.5777i | 0.599311 | − | 0.435425i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 3.46998 | + | 10.6795i | 0.130318 | + | 0.401077i | 0.994832 | − | 0.101531i | \(-0.0323740\pi\) |
−0.864515 | + | 0.502608i | \(0.832374\pi\) | |||||||
\(710\) | 11.0261 | + | 33.9347i | 0.413801 | + | 1.27355i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −0.732292 | + | 0.532041i | −0.0274438 | + | 0.0199391i | ||||
\(713\) | 0.326232 | − | 1.00404i | 0.0122175 | − | 0.0376015i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 30.8512 | − | 10.7433i | 1.15377 | − | 0.401777i | ||||
\(716\) | 22.4559 | 0.839218 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −0.712020 | + | 0.517313i | −0.0265723 | + | 0.0193059i | ||||
\(719\) | 7.31641 | + | 5.31568i | 0.272856 | + | 0.198241i | 0.715795 | − | 0.698310i | \(-0.246064\pi\) |
−0.442939 | + | 0.896552i | \(0.646064\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.745556 | + | 2.29458i | 0.0277659 | + | 0.0854548i | ||||
\(722\) | 5.48817 | + | 3.98739i | 0.204249 | + | 0.148395i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −35.2480 | + | 108.482i | −1.30998 | + | 4.03171i | ||||
\(725\) | 8.67321 | 0.322115 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −44.1368 | −1.63694 | −0.818471 | − | 0.574548i | \(-0.805178\pi\) | ||||
−0.818471 | + | 0.574548i | \(0.805178\pi\) | |||||||
\(728\) | 19.4597 | − | 59.8908i | 0.721224 | − | 2.21970i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −48.4143 | − | 35.1750i | −1.79189 | − | 1.30189i | ||||
\(731\) | −0.0949984 | − | 0.292375i | −0.00351364 | − | 0.0108139i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 22.6879 | + | 16.4837i | 0.837997 | + | 0.608840i | 0.921810 | − | 0.387641i | \(-0.126710\pi\) |
−0.0838136 | + | 0.996481i | \(0.526710\pi\) | |||||||
\(734\) | 51.3856 | − | 37.3338i | 1.89668 | − | 1.37802i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −41.3277 | −1.52336 | ||||||||
\(737\) | 19.3215 | − | 6.72833i | 0.711718 | − | 0.247841i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −13.5061 | + | 41.5674i | −0.496829 | + | 1.52908i | 0.317259 | + | 0.948339i | \(0.397238\pi\) |
−0.814088 | + | 0.580742i | \(0.802762\pi\) | |||||||
\(740\) | −25.4130 | + | 18.4636i | −0.934199 | + | 0.678735i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.25724 | + | 3.86939i | 0.0461547 | + | 0.142050i | ||||
\(743\) | 6.60295 | + | 20.3218i | 0.242239 | + | 0.745534i | 0.996078 | + | 0.0884755i | \(0.0281995\pi\) |
−0.753840 | + | 0.657058i | \(0.771801\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −18.9529 | + | 13.7701i | −0.694380 | + | 0.504497i | ||||
\(746\) | −28.3683 | + | 87.3086i | −1.03864 | + | 3.19660i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.123186 | − | 5.88261i | −0.00450412 | − | 0.215089i | ||||
\(749\) | −9.26256 | −0.338446 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −1.81171 | + | 1.31629i | −0.0661104 | + | 0.0480320i | −0.620350 | − | 0.784325i | \(-0.713009\pi\) |
0.554239 | + | 0.832357i | \(0.313009\pi\) | |||||||
\(752\) | −38.4097 | − | 27.9063i | −1.40066 | − | 1.01764i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 20.1512 | + | 62.0189i | 0.733863 | + | 2.25860i | ||||
\(755\) | 1.86054 | + | 1.35176i | 0.0677120 | + | 0.0491957i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 14.7429 | − | 45.3740i | 0.535840 | − | 1.64915i | −0.205988 | − | 0.978555i | \(-0.566041\pi\) |
0.741828 | − | 0.670591i | \(-0.233959\pi\) | |||||||
\(758\) | −71.2297 | −2.58718 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 83.2891 | 3.02121 | ||||||||
\(761\) | 11.0143 | − | 33.8985i | 0.399268 | − | 1.22882i | −0.526320 | − | 0.850287i | \(-0.676428\pi\) |
0.925588 | − | 0.378534i | \(-0.123572\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −6.71913 | − | 4.88173i | −0.243249 | − | 0.176731i | ||||
\(764\) | 4.58699 | + | 14.1173i | 0.165951 | + | 0.510746i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 31.5909 | + | 22.9522i | 1.14143 | + | 0.829296i | ||||
\(767\) | −11.8482 | + | 8.60824i | −0.427815 | + | 0.310826i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 22.0645 | 0.795665 | 0.397832 | − | 0.917458i | \(-0.369763\pi\) | ||||
0.397832 | + | 0.917458i | \(0.369763\pi\) | |||||||
\(770\) | −14.9077 | − | 4.50099i | −0.537235 | − | 0.162205i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 38.9813 | − | 119.972i | 1.40297 | − | 4.31789i | ||||
\(773\) | −15.2956 | + | 11.1129i | −0.550145 | + | 0.399703i | −0.827839 | − | 0.560966i | \(-0.810430\pi\) |
0.277694 | + | 0.960670i | \(0.410430\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.516019 | − | 1.58814i | −0.0185360 | − | 0.0570478i | ||||
\(776\) | −3.43958 | − | 10.5859i | −0.123474 | − | 0.380013i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 20.5354 | − | 14.9198i | 0.736230 | − | 0.534902i | ||||
\(779\) | −11.8898 | + | 36.5932i | −0.425998 | + | 1.31109i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −15.2385 | − | 20.0762i | −0.545275 | − | 0.718383i | ||||
\(782\) | −1.17614 | −0.0420587 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −14.8479 | + | 10.7876i | −0.530282 | + | 0.385272i | ||||
\(785\) | 21.5802 | + | 15.6789i | 0.770229 | + | 0.559604i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 2.05310 | + | 6.31878i | 0.0731850 | + | 0.225240i | 0.980957 | − | 0.194223i | \(-0.0622184\pi\) |
−0.907772 | + | 0.419463i | \(0.862218\pi\) | |||||||
\(788\) | −104.136 | − | 75.6592i | −3.70969 | − | 2.69525i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 8.93060 | − | 27.4856i | 0.317737 | − | 0.977893i | ||||
\(791\) | 5.47962 | 0.194833 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 19.9205 | 0.707397 | ||||||||
\(794\) | −20.9159 | + | 64.3727i | −0.742279 | + | 2.28450i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 60.5463 | + | 43.9895i | 2.14601 | + | 1.55917i | ||||
\(797\) | 4.72849 | + | 14.5528i | 0.167492 | + | 0.515486i | 0.999211 | − | 0.0397097i | \(-0.0126433\pi\) |
−0.831720 | + | 0.555196i | \(0.812643\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.636573 | − | 0.462497i | −0.0225203 | − | 0.0163620i | ||||
\(800\) | −52.8857 | + | 38.4237i | −1.86979 | + | 1.35848i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 10.8131 | 0.381825 | ||||||||
\(803\) | 40.4679 | + | 12.2183i | 1.42808 | + | 0.431173i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.716282 | + | 2.20449i | −0.0252456 | + | 0.0776981i | ||||
\(806\) | 10.1573 | − | 7.37973i | 0.357776 | − | 0.259940i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −65.2857 | − | 200.929i | −2.29674 | − | 7.06865i | ||||
\(809\) | −7.63556 | − | 23.4998i | −0.268452 | − | 0.826210i | −0.990878 | − | 0.134762i | \(-0.956973\pi\) |
0.722426 | − | 0.691448i | \(-0.243027\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −20.8629 | + | 15.1578i | −0.732597 | + | 0.532263i | −0.890384 | − | 0.455211i | \(-0.849564\pi\) |
0.157787 | + | 0.987473i | \(0.449564\pi\) | |||||||
\(812\) | 7.15291 | − | 22.0144i | 0.251018 | − | 0.772554i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 17.0061 | − | 24.4682i | 0.596063 | − | 0.857611i | ||||
\(815\) | 17.5627 | 0.615195 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −3.78466 | + | 2.74972i | −0.132408 | + | 0.0962004i | ||||
\(818\) | 45.5063 | + | 33.0622i | 1.59109 | + | 1.15599i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 25.1355 | + | 77.3592i | 0.877771 | + | 2.70150i | ||||
\(821\) | −14.8104 | − | 10.7604i | −0.516885 | − | 0.375539i | 0.298544 | − | 0.954396i | \(-0.403499\pi\) |
−0.815429 | + | 0.578857i | \(0.803499\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −1.49684 | + | 4.60680i | −0.0521766 | + | 0.160583i | −0.973750 | − | 0.227622i | \(-0.926905\pi\) |
0.921573 | + | 0.388205i | \(0.126905\pi\) | |||||||
\(824\) | 25.8779 | 0.901500 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 6.98110 | 0.242903 | ||||||||
\(827\) | −7.99793 | + | 24.6151i | −0.278115 | + | 0.855951i | 0.710263 | + | 0.703936i | \(0.248576\pi\) |
−0.988378 | + | 0.152014i | \(0.951424\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −43.8054 | − | 31.8265i | −1.52142 | − | 1.10538i | −0.960776 | − | 0.277326i | \(-0.910552\pi\) |
−0.560649 | − | 0.828054i | \(-0.689448\pi\) | |||||||
\(830\) | −2.92018 | − | 8.98740i | −0.101361 | − | 0.311957i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −223.280 | − | 162.222i | −7.74084 | − | 5.62405i | ||||
\(833\) | −0.246078 | + | 0.178786i | −0.00852608 | + | 0.00619456i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −14.3836 | −0.497766 | ||||||||
\(836\) | −84.5564 | + | 29.4450i | −2.92444 | + | 1.01838i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −1.84058 | + | 5.66473i | −0.0635819 | + | 0.195685i | ||||
\(839\) | 26.1821 | − | 19.0224i | 0.903907 | − | 0.656727i | −0.0355593 | − | 0.999368i | \(-0.511321\pi\) |
0.939467 | + | 0.342640i | \(0.111321\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −4.09435 | − | 12.6011i | −0.141184 | − | 0.434521i | ||||
\(842\) | 3.32959 | + | 10.2474i | 0.114745 | + | 0.353149i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 83.7104 | − | 60.8191i | 2.88143 | − | 2.09348i | ||||
\(845\) | 11.1308 | − | 34.2571i | 0.382911 | − | 1.17848i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 10.9904 | − | 0.460494i | 0.377633 | − | 0.0158228i | ||||
\(848\) | 26.6804 | 0.916210 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −1.50507 | + | 1.09350i | −0.0516234 | + | 0.0375066i | ||||
\(851\) | −3.58830 | − | 2.60705i | −0.123005 | − | 0.0893685i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 1.89308 | + | 5.82631i | 0.0648180 | + | 0.199489i | 0.978221 | − | 0.207568i | \(-0.0665549\pi\) |
−0.913403 | + | 0.407057i | \(0.866555\pi\) | |||||||
\(854\) | −7.68220 | − | 5.58144i | −0.262879 | − | 0.190993i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −30.7005 | + | 94.4863i | −1.04932 | + | 3.22948i | ||||
\(857\) | 22.6396 | 0.773354 | 0.386677 | − | 0.922215i | \(-0.373623\pi\) | ||||
0.386677 | + | 0.922215i | \(0.373623\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −13.7204 | −0.468134 | −0.234067 | − | 0.972220i | \(-0.575204\pi\) | ||||
−0.234067 | + | 0.972220i | \(0.575204\pi\) | |||||||
\(860\) | −3.05607 | + | 9.40562i | −0.104211 | + | 0.320729i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 37.8183 | + | 27.4766i | 1.28810 | + | 0.935857i | ||||
\(863\) | −13.4826 | − | 41.4951i | −0.458953 | − | 1.41251i | −0.866431 | − | 0.499296i | \(-0.833592\pi\) |
0.407479 | − | 0.913215i | \(-0.366408\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −18.6585 | − | 13.5562i | −0.634407 | − | 0.460923i | ||||
\(866\) | 38.3131 | − | 27.8361i | 1.30193 | − | 0.945908i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −4.45660 | −0.151267 | ||||||||
\(869\) | 0.427399 | + | 20.4100i | 0.0144985 | + | 0.692361i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 11.1919 | − | 34.4451i | 0.379223 | − | 1.16713i | ||||
\(872\) | −72.0683 | + | 52.3607i | −2.44054 | + | 1.77316i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 5.53065 | + | 17.0216i | 0.187077 | + | 0.575764i | ||||
\(875\) | 3.72513 | + | 11.4648i | 0.125932 | + | 0.387580i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −27.4356 | + | 19.9331i | −0.926433 | + | 0.673093i | −0.945117 | − | 0.326733i | \(-0.894052\pi\) |
0.0186840 | + | 0.999825i | \(0.494052\pi\) | |||||||
\(878\) | 23.1728 | − | 71.3186i | 0.782045 | − | 2.40689i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −58.2818 | + | 83.8554i | −1.96468 | + | 2.82676i | ||||
\(881\) | −12.7514 | −0.429605 | −0.214803 | − | 0.976657i | \(-0.568911\pi\) | ||||
−0.214803 | + | 0.976657i | \(0.568911\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −0.713738 | + | 0.518561i | −0.0240192 | + | 0.0174510i | −0.599730 | − | 0.800202i | \(-0.704725\pi\) |
0.575711 | + | 0.817653i | \(0.304725\pi\) | |||||||
\(884\) | −8.42652 | − | 6.12223i | −0.283415 | − | 0.205913i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −3.39368 | − | 10.4447i | −0.114013 | − | 0.350895i | ||||
\(887\) | 27.8500 | + | 20.2342i | 0.935112 | + | 0.679399i | 0.947239 | − | 0.320528i | \(-0.103860\pi\) |
−0.0121270 | + | 0.999926i | \(0.503860\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −6.19815 | + | 19.0759i | −0.207879 | + | 0.639786i | ||||
\(890\) | 0.396235 | 0.0132818 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 99.8372 | 3.34280 | ||||||||
\(893\) | −3.70005 | + | 11.3876i | −0.123818 | + | 0.381071i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −5.22567 | − | 3.79667i | −0.174675 | − | 0.126909i | ||||
\(896\) | 22.1672 | + | 68.2237i | 0.740555 | + | 2.27919i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −44.5553 | − | 32.3713i | −1.48683 | − | 1.08025i | ||||
\(899\) | 2.45331 | − | 1.78244i | 0.0818226 | − | 0.0594476i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.442181 | 0.0147312 | ||||||||
\(902\) | −46.6503 | − | 61.4603i | −1.55329 | − | 2.04640i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 18.1620 | − | 55.8970i | 0.604060 | − | 1.85911i | ||||
\(905\) | 26.5438 | − | 19.2852i | 0.882345 | − | 0.641061i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 11.4750 | + | 35.3164i | 0.381021 | + | 1.17266i | 0.939326 | + | 0.343027i | \(0.111452\pi\) |
−0.558304 | + | 0.829636i | \(0.688548\pi\) | |||||||
\(908\) | 36.9247 | + | 113.642i | 1.22539 | + | 3.77136i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −22.3016 | + | 16.2031i | −0.739292 | + | 0.537127i | ||||
\(911\) | 12.0293 | − | 37.0223i | 0.398548 | − | 1.22660i | −0.527617 | − | 0.849483i | \(-0.676914\pi\) |
0.926164 | − | 0.377121i | \(-0.123086\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 4.03581 | + | 5.31706i | 0.133566 | + | 0.175969i | ||||
\(914\) | −55.3366 | −1.83037 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −115.295 | + | 83.7666i | −3.80945 | + | 2.76773i | ||||
\(917\) | −3.41483 | − | 2.48102i | −0.112768 | − | 0.0819305i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −9.02013 | − | 27.7611i | −0.297547 | − | 0.915754i | −0.982354 | − | 0.187030i | \(-0.940114\pi\) |
0.684808 | − | 0.728724i | \(-0.259886\pi\) | |||||||
\(920\) | 20.1137 | + | 14.6134i | 0.663128 | + | 0.481790i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 8.38183 | − | 25.7966i | 0.276041 | − | 0.849566i | ||||
\(923\) | −44.6173 | −1.46860 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −7.01568 | −0.230674 | ||||||||
\(926\) | −6.23685 | + | 19.1951i | −0.204956 | + | 0.630789i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −96.0397 | − | 69.7769i | −3.15266 | − | 2.29054i | ||||
\(929\) | −5.86670 | − | 18.0559i | −0.192480 | − | 0.592393i | −0.999997 | − | 0.00254832i | \(-0.999189\pi\) |
0.807517 | − | 0.589845i | \(-0.200811\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.74462 | + | 2.72062i | 0.122725 | + | 0.0891648i | ||||
\(932\) | −111.855 | + | 81.2676i | −3.66394 | + | 2.66201i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 102.352 | 3.34906 | ||||||||
\(935\) | −0.965917 | + | 1.38975i | −0.0315889 | + | 0.0454498i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −6.14700 | + | 18.9185i | −0.200814 | + | 0.618041i | 0.799046 | + | 0.601271i | \(0.205339\pi\) |
−0.999859 | + | 0.0167709i | \(0.994661\pi\) | |||||||
\(938\) | −13.9671 | + | 10.1477i | −0.456043 | + | 0.331334i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 7.82204 | + | 24.0738i | 0.255127 | + | 0.785200i | ||||
\(941\) | 3.38976 | + | 10.4326i | 0.110503 | + | 0.340093i | 0.990983 | − | 0.133991i | \(-0.0427793\pi\) |
−0.880480 | + | 0.474084i | \(0.842779\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −9.29173 | + | 6.75083i | −0.302580 | + | 0.219837i | ||||
\(944\) | 14.1470 | − | 43.5399i | 0.460444 | − | 1.41710i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.196409 | − | 9.37931i | −0.00638582 | − | 0.304948i | ||||
\(947\) | 40.5321 | 1.31712 | 0.658558 | − | 0.752530i | \(-0.271167\pi\) | ||||
0.658558 | + | 0.752530i | \(0.271167\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 60.5394 | − | 43.9845i | 1.96519 | − | 1.42780i | ||||
\(950\) | 22.9029 | + | 16.6400i | 0.743069 | + | 0.539871i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1.00816 | + | 3.10279i | 0.0326746 | + | 0.100562i | ||||
\(953\) | −37.7198 | − | 27.4051i | −1.22187 | − | 0.887737i | −0.225612 | − | 0.974217i | \(-0.572438\pi\) |
−0.996254 | + | 0.0864799i | \(0.972438\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1.31941 | − | 4.06073i | 0.0426952 | − | 0.131402i | ||||
\(956\) | 9.21516 | 0.298039 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 109.063 | 3.52368 | ||||||||
\(959\) | −4.49191 | + | 13.8247i | −0.145051 | + | 0.446423i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 24.6072 | + | 17.8782i | 0.793780 | + | 0.576715i | ||||
\(962\) | −16.3001 | − | 50.1666i | −0.525537 | − | 1.61744i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 57.7471 | + | 41.9557i | 1.85991 | + | 1.35130i | ||||
\(965\) | −29.3552 | + | 21.3278i | −0.944977 | + | 0.686566i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 27.2512 | 0.876338 | 0.438169 | − | 0.898893i | \(-0.355627\pi\) | ||||
0.438169 | + | 0.898893i | \(0.355627\pi\) | |||||||
\(968\) | 31.7298 | − | 113.638i | 1.01983 | − | 3.65245i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −1.50568 | + | 4.63399i | −0.0483443 | + | 0.148789i | ||||
\(971\) | 18.7984 | − | 13.6579i | 0.603271 | − | 0.438302i | −0.243768 | − | 0.969834i | \(-0.578383\pi\) |
0.847038 | + | 0.531532i | \(0.178383\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −2.14648 | − | 6.60619i | −0.0688130 | − | 0.211785i | ||||
\(974\) | 20.7417 | + | 63.8364i | 0.664607 | + | 2.04545i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −50.3782 | + | 36.6019i | −1.61257 | + | 1.17160i | ||||
\(977\) | 8.89186 | − | 27.3663i | 0.284476 | − | 0.875527i | −0.702079 | − | 0.712099i | \(-0.747745\pi\) |
0.986555 | − | 0.163428i | \(-0.0522551\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −0.264325 | + | 0.0920457i | −0.00844785 | + | 0.00294179i | ||||
\(980\) | 9.78502 | 0.312571 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −7.22970 | + | 5.25268i | −0.230709 | + | 0.167620i | ||||
\(983\) | −22.8080 | − | 16.5710i | −0.727462 | − | 0.528532i | 0.161298 | − | 0.986906i | \(-0.448432\pi\) |
−0.888759 | + | 0.458374i | \(0.848432\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 11.4414 | + | 35.2130i | 0.364553 | + | 1.12198i | ||||
\(986\) | −2.73318 | − | 1.98577i | −0.0870421 | − | 0.0632398i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −48.9788 | + | 150.741i | −1.55822 | + | 4.79572i | ||||
\(989\) | −1.39641 | −0.0444034 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −47.6676 | −1.51421 | −0.757106 | − | 0.653293i | \(-0.773387\pi\) | ||||
−0.757106 | + | 0.653293i | \(0.773387\pi\) | |||||||
\(992\) | −7.06283 | + | 21.7372i | −0.224245 | + | 0.690156i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 17.2063 | + | 12.5011i | 0.545752 | + | 0.396512i | ||||
\(995\) | −6.65220 | − | 20.4734i | −0.210889 | − | 0.649050i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 15.0982 | + | 10.9695i | 0.478166 | + | 0.347408i | 0.800615 | − | 0.599179i | \(-0.204506\pi\) |
−0.322449 | + | 0.946587i | \(0.604506\pi\) | |||||||
\(998\) | 62.3394 | − | 45.2922i | 1.97332 | − | 1.43370i | ||||
\(999\) | 0 | 0 |
(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 | 693.2.m.j.64.1 | 20 | ||
3.2 | odd | 2 | 231.2.j.g.64.5 | ✓ | 20 | ||
11.4 | even | 5 | 7623.2.a.cx.1.1 | 10 | |||
11.5 | even | 5 | inner | 693.2.m.j.379.1 | 20 | ||
11.7 | odd | 10 | 7623.2.a.cy.1.10 | 10 | |||
33.5 | odd | 10 | 231.2.j.g.148.5 | yes | 20 | ||
33.26 | odd | 10 | 2541.2.a.bq.1.10 | 10 | |||
33.29 | even | 10 | 2541.2.a.br.1.1 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.j.g.64.5 | ✓ | 20 | 3.2 | odd | 2 | ||
231.2.j.g.148.5 | yes | 20 | 33.5 | odd | 10 | ||
693.2.m.j.64.1 | 20 | 1.1 | even | 1 | trivial | ||
693.2.m.j.379.1 | 20 | 11.5 | even | 5 | inner | ||
2541.2.a.bq.1.10 | 10 | 33.26 | odd | 10 | |||
2541.2.a.br.1.1 | 10 | 33.29 | even | 10 | |||
7623.2.a.cx.1.1 | 10 | 11.4 | even | 5 | |||
7623.2.a.cy.1.10 | 10 | 11.7 | odd | 10 |