Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(370,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.370");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.fm (of order \(12\), 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: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 273) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 370.7 | ||
Character | \(\chi\) | \(=\) | 819.370 |
Dual form | 819.2.fm.f.622.7 |
$q$-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 \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{12}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500642 | + | 1.86842i | 0.354007 | + | 1.32117i | 0.881729 | + | 0.471755i | \(0.156379\pi\) |
−0.527722 | + | 0.849417i | \(0.676954\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.50830 | + | 0.870817i | −0.754150 | + | 0.435408i | ||||
\(5\) | 2.44068 | + | 2.44068i | 1.09151 | + | 1.09151i | 0.995368 | + | 0.0961385i | \(0.0306492\pi\) |
0.0961385 | + | 0.995368i | \(0.469351\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.60515 | + | 0.461729i | −0.984654 | + | 0.174517i | ||||
\(8\) | 0.353388 | + | 0.353388i | 0.124941 | + | 0.124941i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.33831 | + | 5.78213i | −1.05567 | + | 1.82847i | ||||
\(11\) | −2.85290 | + | 0.764433i | −0.860183 | + | 0.230485i | −0.661838 | − | 0.749647i | \(-0.730223\pi\) |
−0.198345 | + | 0.980132i | \(0.563557\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.60488 | + | 0.0697642i | −0.999813 | + | 0.0193491i | ||||
\(14\) | −2.16695 | − | 4.63635i | −0.579142 | − | 1.23912i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.22499 | + | 3.85380i | −0.556247 | + | 0.963449i | ||||
\(17\) | −0.667729 | − | 1.15654i | −0.161948 | − | 0.280502i | 0.773619 | − | 0.633651i | \(-0.218444\pi\) |
−0.935567 | + | 0.353149i | \(0.885111\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.32547 | − | 4.94673i | 0.304084 | − | 1.13486i | −0.629646 | − | 0.776882i | \(-0.716800\pi\) |
0.933731 | − | 0.357977i | \(-0.116533\pi\) | |||||||
\(20\) | −5.80667 | − | 1.55589i | −1.29841 | − | 0.347908i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.85656 | − | 4.94771i | −0.609022 | − | 1.05486i | ||||
\(23\) | 7.61450 | + | 4.39623i | 1.58773 | + | 0.916678i | 0.993680 | + | 0.112253i | \(0.0358066\pi\) |
0.594053 | + | 0.804426i | \(0.297527\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 6.91386i | 1.38277i | ||||||||
\(26\) | −1.93510 | − | 6.70049i | −0.379504 | − | 1.31408i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 3.52726 | − | 2.96503i | 0.666590 | − | 0.560339i | ||||
\(29\) | −3.97913 | + | 6.89205i | −0.738905 | + | 1.27982i | 0.214084 | + | 0.976815i | \(0.431323\pi\) |
−0.952989 | + | 0.303006i | \(0.902010\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.04259 | + | 2.04259i | 0.366861 | + | 0.366861i | 0.866331 | − | 0.499470i | \(-0.166472\pi\) |
−0.499470 | + | 0.866331i | \(0.666472\pi\) | |||||||
\(32\) | −7.34896 | − | 1.96915i | −1.29912 | − | 0.348099i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.82661 | − | 1.82661i | 0.313261 | − | 0.313261i | ||||
\(35\) | −7.48528 | − | 5.23141i | −1.26524 | − | 0.884270i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.73577 | − | 1.26895i | 0.778555 | − | 0.208613i | 0.152408 | − | 0.988318i | \(-0.451297\pi\) |
0.626148 | + | 0.779704i | \(0.284631\pi\) | |||||||
\(38\) | 9.90616 | 1.60699 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.72501i | 0.272749i | ||||||||
\(41\) | −1.45657 | + | 0.390287i | −0.227478 | + | 0.0609527i | −0.370758 | − | 0.928730i | \(-0.620902\pi\) |
0.143279 | + | 0.989682i | \(0.454235\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.212417 | + | 0.122639i | −0.0323933 | + | 0.0187023i | −0.516109 | − | 0.856523i | \(-0.672620\pi\) |
0.483716 | + | 0.875225i | \(0.339287\pi\) | |||||||
\(44\) | 3.63735 | − | 3.63735i | 0.548351 | − | 0.548351i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.40187 | + | 16.4280i | −0.649021 | + | 2.42218i | ||||
\(47\) | −1.13049 | + | 1.13049i | −0.164899 | + | 0.164899i | −0.784733 | − | 0.619834i | \(-0.787200\pi\) |
0.619834 | + | 0.784733i | \(0.287200\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.57361 | − | 2.40574i | 0.939088 | − | 0.343678i | ||||
\(50\) | −12.9180 | + | 3.46137i | −1.82688 | + | 0.489511i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 5.37648 | − | 3.24441i | 0.745584 | − | 0.449919i | ||||
\(53\) | −2.62146 | −0.360085 | −0.180043 | − | 0.983659i | \(-0.557624\pi\) | ||||
−0.180043 | + | 0.983659i | \(0.557624\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −8.82877 | − | 5.09729i | −1.19047 | − | 0.687319i | ||||
\(56\) | −1.08380 | − | 0.757458i | −0.144828 | − | 0.101220i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −14.8694 | − | 3.98423i | −1.95244 | − | 0.523155i | ||||
\(59\) | 3.96915 | + | 1.06353i | 0.516739 | + | 0.138460i | 0.507758 | − | 0.861500i | \(-0.330474\pi\) |
0.00898130 | + | 0.999960i | \(0.497141\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.82911 | − | 4.52014i | 1.00241 | − | 0.578744i | 0.0934527 | − | 0.995624i | \(-0.470210\pi\) |
0.908962 | + | 0.416879i | \(0.136876\pi\) | |||||||
\(62\) | −2.79382 | + | 4.83903i | −0.354815 | + | 0.614558i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | − | 5.81681i | − | 0.727101i | ||||||
\(65\) | −8.96863 | − | 8.62809i | −1.11242 | − | 1.07018i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.97553 | − | 11.1048i | −0.363519 | − | 1.35667i | −0.869417 | − | 0.494079i | \(-0.835505\pi\) |
0.505898 | − | 0.862593i | \(-0.331161\pi\) | |||||||
\(68\) | 2.01427 | + | 1.16294i | 0.244266 | + | 0.141027i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 6.02703 | − | 16.6047i | 0.720368 | − | 1.98464i | ||||
\(71\) | 11.0479 | + | 2.96028i | 1.31115 | + | 0.351320i | 0.845654 | − | 0.533732i | \(-0.179211\pi\) |
0.465492 | + | 0.885052i | \(0.345877\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.06136 | + | 1.06136i | −0.124222 | + | 0.124222i | −0.766485 | − | 0.642262i | \(-0.777996\pi\) |
0.642262 | + | 0.766485i | \(0.277996\pi\) | |||||||
\(74\) | 4.74184 | + | 8.21311i | 0.551228 | + | 0.954755i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.30849 | + | 8.61540i | 0.264802 | + | 0.988254i | ||||
\(77\) | 7.07928 | − | 3.30873i | 0.806759 | − | 0.377065i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 7.65266 | 0.860992 | 0.430496 | − | 0.902593i | \(-0.358339\pi\) | ||||
0.430496 | + | 0.902593i | \(0.358339\pi\) | |||||||
\(80\) | −14.8364 | + | 3.97540i | −1.65876 | + | 0.444463i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −1.45844 | − | 2.52609i | −0.161058 | − | 0.278960i | ||||
\(83\) | −10.1314 | − | 10.1314i | −1.11207 | − | 1.11207i | −0.992871 | − | 0.119194i | \(-0.961969\pi\) |
−0.119194 | − | 0.992871i | \(-0.538031\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.19303 | − | 4.45246i | 0.129403 | − | 0.482937i | ||||
\(86\) | −0.335486 | − | 0.335486i | −0.0361763 | − | 0.0361763i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.27832 | − | 0.738039i | −0.136270 | − | 0.0786753i | ||||
\(89\) | 4.11486 | + | 15.3569i | 0.436174 | + | 1.62782i | 0.738241 | + | 0.674537i | \(0.235657\pi\) |
−0.302067 | + | 0.953287i | \(0.597677\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 9.35903 | − | 1.84622i | 0.981093 | − | 0.193537i | ||||
\(92\) | −15.3133 | −1.59652 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.67819 | − | 1.54626i | −0.276235 | − | 0.159484i | ||||
\(95\) | 15.3085 | − | 8.83835i | 1.57062 | − | 0.906795i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.28484 | + | 12.2592i | −0.333525 | + | 1.24473i | 0.571934 | + | 0.820300i | \(0.306193\pi\) |
−0.905459 | + | 0.424433i | \(0.860473\pi\) | |||||||
\(98\) | 7.78596 | + | 11.0779i | 0.786501 | + | 1.11903i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −6.02071 | − | 10.4282i | −0.602071 | − | 1.04282i | ||||
\(101\) | −4.49790 | + | 7.79059i | −0.447558 | + | 0.775192i | −0.998226 | − | 0.0595314i | \(-0.981039\pi\) |
0.550669 | + | 0.834724i | \(0.314373\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.31734 | 0.622466 | 0.311233 | − | 0.950334i | \(-0.399258\pi\) | ||||
0.311233 | + | 0.950334i | \(0.399258\pi\) | |||||||
\(104\) | −1.29857 | − | 1.24926i | −0.127335 | − | 0.122500i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.31241 | − | 4.89799i | −0.127473 | − | 0.475735i | ||||
\(107\) | 9.52494 | − | 16.4977i | 0.920810 | − | 1.59489i | 0.122646 | − | 0.992450i | \(-0.460862\pi\) |
0.798164 | − | 0.602440i | \(-0.205805\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −9.27465 | + | 9.27465i | −0.888351 | + | 0.888351i | −0.994365 | − | 0.106014i | \(-0.966191\pi\) |
0.106014 | + | 0.994365i | \(0.466191\pi\) | |||||||
\(110\) | 5.10383 | − | 19.0478i | 0.486631 | − | 1.81613i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 4.01702 | − | 11.0671i | 0.379573 | − | 1.04574i | ||||
\(113\) | 3.53376 | + | 6.12066i | 0.332429 | + | 0.575783i | 0.982987 | − | 0.183673i | \(-0.0587986\pi\) |
−0.650559 | + | 0.759456i | \(0.725465\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.85477 | + | 29.3144i | 0.732461 | + | 2.73358i | ||||
\(116\) | − | 13.8604i | − | 1.28690i | ||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 7.94848i | 0.731717i | ||||||||
\(119\) | 2.27354 | + | 2.70465i | 0.208415 | + | 0.247935i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.97158 | + | 1.13829i | −0.179234 | + | 0.103481i | ||||
\(122\) | 12.3651 | + | 12.3651i | 1.11948 | + | 1.11948i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −4.85957 | − | 1.30212i | −0.436402 | − | 0.116934i | ||||
\(125\) | −4.67113 | + | 4.67113i | −0.417799 | + | 0.417799i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 12.2515 | + | 7.07343i | 1.08715 | + | 0.627665i | 0.932816 | − | 0.360354i | \(-0.117344\pi\) |
0.154332 | + | 0.988019i | \(0.450677\pi\) | |||||||
\(128\) | −3.82967 | + | 1.02616i | −0.338498 | + | 0.0907002i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 11.6308 | − | 21.0767i | 1.02009 | − | 1.84855i | ||||
\(131\) | − | 9.97987i | − | 0.871945i | −0.899960 | − | 0.435973i | \(-0.856404\pi\) | ||
0.899960 | − | 0.435973i | \(-0.143596\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.16901 | + | 13.4990i | −0.101366 | + | 1.17051i | ||||
\(134\) | 19.2588 | − | 11.1191i | 1.66371 | − | 0.960543i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.172740 | − | 0.644674i | 0.0148123 | − | 0.0552803i | ||||
\(137\) | 0.141310 | − | 0.527376i | 0.0120729 | − | 0.0450567i | −0.959627 | − | 0.281277i | \(-0.909242\pi\) |
0.971700 | + | 0.236220i | \(0.0759087\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.89550 | − | 1.67172i | 0.245593 | − | 0.141793i | −0.372152 | − | 0.928172i | \(-0.621380\pi\) |
0.617745 | + | 0.786379i | \(0.288047\pi\) | |||||||
\(140\) | 15.8456 | + | 1.37223i | 1.33920 | + | 0.115974i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 22.1242i | 1.85662i | ||||||||
\(143\) | 10.2310 | − | 2.95472i | 0.855562 | − | 0.247086i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −26.5331 | + | 7.10952i | −2.20345 | + | 0.590413i | ||||
\(146\) | −2.51442 | − | 1.45170i | −0.208095 | − | 0.120144i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −6.03794 | + | 6.03794i | −0.496315 | + | 0.496315i | ||||
\(149\) | 8.56339 | + | 2.29455i | 0.701540 | + | 0.187977i | 0.591920 | − | 0.805996i | \(-0.298370\pi\) |
0.109620 | + | 0.993974i | \(0.465037\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −10.4345 | − | 10.4345i | −0.849144 | − | 0.849144i | 0.140882 | − | 0.990026i | \(-0.455006\pi\) |
−0.990026 | + | 0.140882i | \(0.955006\pi\) | |||||||
\(152\) | 2.21652 | − | 1.27971i | 0.179784 | − | 0.103798i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 9.72628 | + | 11.5706i | 0.783766 | + | 0.932384i | ||||
\(155\) | 9.97065i | 0.800862i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 1.05925i | − | 0.0845376i | −0.999106 | − | 0.0422688i | \(-0.986541\pi\) | ||
0.999106 | − | 0.0422688i | \(-0.0134586\pi\) | |||||||
\(158\) | 3.83124 | + | 14.2984i | 0.304797 | + | 1.13752i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −13.1304 | − | 22.7425i | −1.03805 | − | 1.79795i | ||||
\(161\) | −21.8668 | − | 7.93702i | −1.72334 | − | 0.625525i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.76615 | − | 10.3234i | 0.216661 | − | 0.808591i | −0.768914 | − | 0.639353i | \(-0.779202\pi\) |
0.985575 | − | 0.169239i | \(-0.0541309\pi\) | |||||||
\(164\) | 1.85708 | − | 1.85708i | 0.145013 | − | 0.145013i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 13.8575 | − | 24.0019i | 1.07555 | − | 1.86291i | ||||
\(167\) | −0.203527 | − | 0.759573i | −0.0157494 | − | 0.0587775i | 0.957604 | − | 0.288088i | \(-0.0930196\pi\) |
−0.973353 | + | 0.229310i | \(0.926353\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.9903 | − | 0.502983i | 0.999251 | − | 0.0386910i | ||||
\(170\) | 8.91635 | 0.683853 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.213592 | − | 0.369952i | 0.0162862 | − | 0.0282086i | ||||
\(173\) | 2.78559 | + | 4.82478i | 0.211784 | + | 0.366821i | 0.952273 | − | 0.305248i | \(-0.0987392\pi\) |
−0.740489 | + | 0.672069i | \(0.765406\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.19233 | − | 18.0117i | −0.241317 | − | 1.36155i | ||||
\(176\) | 3.40171 | − | 12.6954i | 0.256414 | − | 0.956949i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −26.6330 | + | 15.3766i | −1.99623 | + | 1.15252i | ||||
\(179\) | 3.04329 | + | 1.75705i | 0.227466 | + | 0.131328i | 0.609403 | − | 0.792861i | \(-0.291409\pi\) |
−0.381936 | + | 0.924189i | \(0.624743\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 23.3185 | 1.73325 | 0.866624 | − | 0.498961i | \(-0.166285\pi\) | ||||
0.866624 | + | 0.498961i | \(0.166285\pi\) | |||||||
\(182\) | 8.13503 | + | 16.5623i | 0.603009 | + | 1.22768i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.13730 | + | 4.24444i | 0.0838425 | + | 0.312905i | ||||
\(185\) | 14.6556 | + | 8.46141i | 1.07750 | + | 0.622096i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2.78906 | + | 2.78906i | 0.203956 | + | 0.203956i | ||||
\(188\) | 0.720666 | − | 2.68956i | 0.0525599 | − | 0.196156i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 24.1778 | + | 24.1778i | 1.75404 | + | 1.75404i | ||||
\(191\) | −6.95240 | − | 12.0419i | −0.503058 | − | 0.871322i | −0.999994 | − | 0.00353445i | \(-0.998875\pi\) |
0.496936 | − | 0.867787i | \(-0.334458\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.80644 | − | 0.751984i | 0.202012 | − | 0.0541290i | −0.156394 | − | 0.987695i | \(-0.549987\pi\) |
0.358406 | + | 0.933566i | \(0.383320\pi\) | |||||||
\(194\) | −24.5499 | −1.76258 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −7.82001 | + | 9.35300i | −0.558572 | + | 0.668071i | ||||
\(197\) | −0.210804 | − | 0.786731i | −0.0150192 | − | 0.0560523i | 0.958010 | − | 0.286736i | \(-0.0925703\pi\) |
−0.973029 | + | 0.230684i | \(0.925904\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.861092 | − | 1.49145i | −0.0610412 | − | 0.105726i | 0.833890 | − | 0.551931i | \(-0.186109\pi\) |
−0.894931 | + | 0.446204i | \(0.852775\pi\) | |||||||
\(200\) | −2.44327 | + | 2.44327i | −0.172766 | + | 0.172766i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −16.8079 | − | 4.50367i | −1.18260 | − | 0.316877i | ||||
\(203\) | 7.18396 | − | 19.7921i | 0.504215 | − | 1.38913i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.50760 | − | 2.60246i | −0.314824 | − | 0.181764i | ||||
\(206\) | 3.16272 | + | 11.8034i | 0.220357 | + | 0.822385i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 7.75196 | − | 14.0477i | 0.537501 | − | 0.974031i | ||||
\(209\) | 15.1258i | 1.04627i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.84269 | + | 3.19163i | −0.126856 | + | 0.219721i | −0.922457 | − | 0.386100i | \(-0.873822\pi\) |
0.795601 | + | 0.605821i | \(0.207155\pi\) | |||||||
\(212\) | 3.95395 | − | 2.28281i | 0.271558 | − | 0.156784i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 35.5932 | + | 9.53716i | 2.43310 | + | 0.651947i | ||||
\(215\) | −0.817765 | − | 0.219119i | −0.0557711 | − | 0.0149438i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −6.26439 | − | 4.37814i | −0.425254 | − | 0.297208i | ||||
\(218\) | −21.9722 | − | 12.6857i | −1.48815 | − | 0.859182i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 17.7552 | 1.19706 | ||||||||
\(221\) | 2.48776 | + | 4.12260i | 0.167345 | + | 0.277316i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −18.0743 | + | 4.84300i | −1.21035 | + | 0.324311i | −0.806898 | − | 0.590691i | \(-0.798855\pi\) |
−0.403449 | + | 0.915002i | \(0.632189\pi\) | |||||||
\(224\) | 20.0543 | + | 1.73670i | 1.33994 | + | 0.116038i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −9.66681 | + | 9.66681i | −0.643027 | + | 0.643027i | ||||
\(227\) | −0.339915 | + | 1.26858i | −0.0225609 | + | 0.0841985i | −0.976288 | − | 0.216474i | \(-0.930544\pi\) |
0.953727 | + | 0.300672i | \(0.0972111\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −6.99659 | + | 6.99659i | −0.462348 | + | 0.462348i | −0.899424 | − | 0.437077i | \(-0.856014\pi\) |
0.437077 | + | 0.899424i | \(0.356014\pi\) | |||||||
\(230\) | −50.8392 | + | 29.3520i | −3.35224 | + | 1.93541i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.84174 | + | 1.02939i | −0.252222 | + | 0.0675828i | ||||
\(233\) | 24.7335i | 1.62035i | 0.586189 | + | 0.810174i | \(0.300627\pi\) | ||||
−0.586189 | + | 0.810174i | \(0.699373\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −5.51832 | −0.359976 | ||||||||
\(236\) | −6.91280 | + | 1.85228i | −0.449985 | + | 0.120573i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −3.91519 | + | 5.60199i | −0.253784 | + | 0.363123i | ||||
\(239\) | 7.30351 | − | 7.30351i | 0.472425 | − | 0.472425i | −0.430274 | − | 0.902698i | \(-0.641583\pi\) |
0.902698 | + | 0.430274i | \(0.141583\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 8.63024 | + | 2.31247i | 0.555923 | + | 0.148959i | 0.525833 | − | 0.850588i | \(-0.323754\pi\) |
0.0300903 | + | 0.999547i | \(0.490421\pi\) | |||||||
\(242\) | −3.11386 | − | 3.11386i | −0.200166 | − | 0.200166i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −7.87242 | + | 13.6354i | −0.503980 | + | 0.872920i | ||||
\(245\) | 21.9158 | + | 10.1724i | 1.40015 | + | 0.649894i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −4.43306 | + | 17.9248i | −0.282069 | + | 1.14053i | ||||
\(248\) | 1.44365i | 0.0916722i | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −11.0662 | − | 6.38907i | −0.699888 | − | 0.404081i | ||||
\(251\) | 6.13739 | + | 10.6303i | 0.387389 | + | 0.670977i | 0.992097 | − | 0.125470i | \(-0.0400438\pi\) |
−0.604709 | + | 0.796447i | \(0.706710\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −25.0841 | − | 6.72126i | −1.57702 | − | 0.422562i | ||||
\(254\) | −7.08250 | + | 26.4323i | −0.444396 | + | 1.65851i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −9.65139 | − | 16.7167i | −0.603212 | − | 1.04479i | ||||
\(257\) | −2.78870 | + | 4.83017i | −0.173954 | + | 0.301298i | −0.939799 | − | 0.341728i | \(-0.888988\pi\) |
0.765845 | + | 0.643026i | \(0.222321\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −11.7515 | + | 5.49243i | −0.730201 | + | 0.341283i | ||||
\(260\) | 21.0409 | + | 5.20370i | 1.30490 | + | 0.322720i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 18.6466 | − | 4.99634i | 1.15199 | − | 0.308675i | ||||
\(263\) | 0.243621 | − | 0.421964i | 0.0150223 | − | 0.0260194i | −0.858417 | − | 0.512953i | \(-0.828551\pi\) |
0.873439 | + | 0.486934i | \(0.161885\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −6.39815 | − | 6.39815i | −0.393035 | − | 0.393035i | ||||
\(266\) | −25.8070 | + | 4.57396i | −1.58233 | + | 0.280447i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 14.1583 | + | 14.1583i | 0.864854 | + | 0.864854i | ||||
\(269\) | 14.2503 | − | 8.22741i | 0.868855 | − | 0.501634i | 0.00188759 | − | 0.999998i | \(-0.499399\pi\) |
0.866968 | + | 0.498364i | \(0.166066\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.62502 | + | 20.9928i | 0.341695 | + | 1.27522i | 0.896426 | + | 0.443194i | \(0.146155\pi\) |
−0.554730 | + | 0.832030i | \(0.687178\pi\) | |||||||
\(272\) | 5.94276 | 0.360333 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.05610 | 0.0638016 | ||||||||
\(275\) | −5.28519 | − | 19.7246i | −0.318709 | − | 1.18944i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 23.9312 | − | 13.8167i | 1.43789 | − | 0.830165i | 0.440186 | − | 0.897907i | \(-0.354913\pi\) |
0.997703 | + | 0.0677412i | \(0.0215792\pi\) | |||||||
\(278\) | 4.57307 | + | 4.57307i | 0.274275 | + | 0.274275i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.796488 | − | 4.49392i | −0.0475993 | − | 0.268563i | ||||
\(281\) | −15.4703 | − | 15.4703i | −0.922880 | − | 0.922880i | 0.0743517 | − | 0.997232i | \(-0.476311\pi\) |
−0.997232 | + | 0.0743517i | \(0.976311\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.67677 | + | 4.63631i | −0.159118 | + | 0.275600i | −0.934551 | − | 0.355830i | \(-0.884198\pi\) |
0.775433 | + | 0.631430i | \(0.217532\pi\) | |||||||
\(284\) | −19.2414 | + | 5.15572i | −1.14177 | + | 0.305936i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 10.6427 | + | 17.6366i | 0.629318 | + | 1.04287i | ||||
\(287\) | 3.61438 | − | 1.68930i | 0.213350 | − | 0.0997161i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.60828 | − | 13.1779i | 0.447546 | − | 0.775172i | ||||
\(290\) | −26.5671 | − | 46.0156i | −1.56008 | − | 2.70213i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.676596 | − | 2.52509i | 0.0395948 | − | 0.147770i | ||||
\(293\) | −11.8844 | − | 3.18441i | −0.694294 | − | 0.186035i | −0.105620 | − | 0.994407i | \(-0.533683\pi\) |
−0.588673 | + | 0.808371i | \(0.700350\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 7.09169 | + | 12.2832i | 0.412894 | + | 0.715154i | ||||
\(296\) | 2.12199 | + | 1.22513i | 0.123338 | + | 0.0712093i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 17.1488i | 0.993401i | ||||||||
\(299\) | −27.7560 | − | 15.3167i | −1.60517 | − | 0.885785i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.496752 | − | 0.417572i | 0.0286323 | − | 0.0240684i | ||||
\(302\) | 14.2720 | − | 24.7199i | 0.821263 | − | 1.42247i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 16.1145 | + | 16.1145i | 0.924232 | + | 0.924232i | ||||
\(305\) | 30.1406 | + | 8.07615i | 1.72585 | + | 0.462439i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 8.36730 | − | 8.36730i | 0.477547 | − | 0.477547i | −0.426799 | − | 0.904346i | \(-0.640359\pi\) |
0.904346 | + | 0.426799i | \(0.140359\pi\) | |||||||
\(308\) | −7.79638 | + | 11.1553i | −0.444240 | + | 0.635633i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −18.6294 | + | 4.99172i | −1.05808 | + | 0.283511i | ||||
\(311\) | 2.28494 | 0.129567 | 0.0647836 | − | 0.997899i | \(-0.479364\pi\) | ||||
0.0647836 | + | 0.997899i | \(0.479364\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 24.6656i | − | 1.39418i | −0.716982 | − | 0.697091i | \(-0.754477\pi\) | ||
0.716982 | − | 0.697091i | \(-0.245523\pi\) | |||||||
\(314\) | 1.97913 | − | 0.530306i | 0.111689 | − | 0.0299269i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −11.5425 | + | 6.66407i | −0.649317 | + | 0.374883i | ||||
\(317\) | −3.55562 | + | 3.55562i | −0.199704 | + | 0.199704i | −0.799873 | − | 0.600169i | \(-0.795100\pi\) |
0.600169 | + | 0.799873i | \(0.295100\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 6.08355 | − | 22.7041i | 0.340613 | − | 1.27119i | ||||
\(320\) | 14.1970 | − | 14.1970i | 0.793636 | − | 0.793636i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 3.88226 | − | 44.8299i | 0.216350 | − | 2.49827i | ||||
\(323\) | −6.60615 | + | 1.77011i | −0.367576 | + | 0.0984917i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.482340 | − | 24.9236i | −0.0267554 | − | 1.38251i | ||||
\(326\) | 20.6733 | 1.14499 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.652657 | − | 0.376812i | −0.0360370 | − | 0.0208060i | ||||
\(329\) | 2.42311 | − | 3.46707i | 0.133590 | − | 0.191146i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 17.6446 | + | 4.72784i | 0.969832 | + | 0.259866i | 0.708757 | − | 0.705453i | \(-0.249256\pi\) |
0.261075 | + | 0.965318i | \(0.415923\pi\) | |||||||
\(332\) | 24.1038 | + | 6.45858i | 1.32287 | + | 0.354461i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.31731 | − | 0.760548i | 0.0720798 | − | 0.0416153i | ||||
\(335\) | 19.8411 | − | 34.3657i | 1.08403 | − | 1.87760i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 22.3954i | − | 1.21996i | −0.792418 | − | 0.609978i | \(-0.791178\pi\) | ||
0.792418 | − | 0.609978i | \(-0.208822\pi\) | |||||||
\(338\) | 7.44325 | + | 24.0195i | 0.404859 | + | 1.30649i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 2.07783 | + | 7.75456i | 0.112686 | + | 0.420550i | ||||
\(341\) | −7.38875 | − | 4.26590i | −0.400123 | − | 0.231011i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −16.0144 | + | 9.30255i | −0.864699 | + | 0.502291i | ||||
\(344\) | −0.118405 | − | 0.0317264i | −0.00638394 | − | 0.00171057i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −7.62013 | + | 7.62013i | −0.409661 | + | 0.409661i | ||||
\(347\) | −7.01258 | − | 12.1461i | −0.376455 | − | 0.652039i | 0.614089 | − | 0.789237i | \(-0.289524\pi\) |
−0.990544 | + | 0.137198i | \(0.956190\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.12038 | − | 7.91338i | −0.113502 | − | 0.423594i | 0.885669 | − | 0.464317i | \(-0.153700\pi\) |
−0.999170 | + | 0.0407238i | \(0.987034\pi\) | |||||||
\(350\) | 32.0551 | − | 14.9820i | 1.71342 | − | 0.800821i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 22.4711 | 1.19772 | ||||||||
\(353\) | −25.1216 | + | 6.73131i | −1.33709 | + | 0.358271i | −0.855353 | − | 0.518046i | \(-0.826659\pi\) |
−0.481734 | + | 0.876318i | \(0.659993\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 19.7393 | + | 34.1895i | 1.04766 | + | 1.81459i | ||||
\(356\) | −19.5794 | − | 19.5794i | −1.03771 | − | 1.03771i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.75930 | + | 6.56579i | −0.0929819 | + | 0.347013i | ||||
\(359\) | −3.71625 | − | 3.71625i | −0.196136 | − | 0.196136i | 0.602205 | − | 0.798341i | \(-0.294289\pi\) |
−0.798341 | + | 0.602205i | \(0.794289\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.25881 | − | 3.61353i | −0.329411 | − | 0.190186i | ||||
\(362\) | 11.6742 | + | 43.5687i | 0.613582 | + | 2.28992i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −12.5085 | + | 10.9347i | −0.655623 | + | 0.573132i | ||||
\(365\) | −5.18087 | −0.271179 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −26.8907 | − | 15.5253i | −1.40368 | − | 0.810416i | −0.408913 | − | 0.912573i | \(-0.634092\pi\) |
−0.994768 | + | 0.102157i | \(0.967426\pi\) | |||||||
\(368\) | −33.8844 | + | 19.5632i | −1.76634 | + | 1.01980i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −8.47227 | + | 31.6189i | −0.440452 | + | 1.64379i | ||||
\(371\) | 6.82930 | − | 1.21040i | 0.354559 | − | 0.0628410i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −6.35916 | − | 11.0144i | −0.329265 | − | 0.570304i | 0.653101 | − | 0.757271i | \(-0.273468\pi\) |
−0.982366 | + | 0.186967i | \(0.940134\pi\) | |||||||
\(374\) | −3.81482 | + | 6.60746i | −0.197260 | + | 0.341664i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.799000 | −0.0412053 | ||||||||
\(377\) | 13.8634 | − | 25.1226i | 0.714003 | − | 1.29388i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −5.03747 | − | 18.8001i | −0.258757 | − | 0.965696i | −0.965961 | − | 0.258686i | \(-0.916710\pi\) |
0.707204 | − | 0.707010i | \(-0.249956\pi\) | |||||||
\(380\) | −15.3932 | + | 26.6617i | −0.789653 | + | 1.36772i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 19.0187 | − | 19.0187i | 0.973080 | − | 0.973080i | ||||
\(383\) | −1.38240 | + | 5.15917i | −0.0706372 | + | 0.263621i | −0.992209 | − | 0.124587i | \(-0.960239\pi\) |
0.921572 | + | 0.388209i | \(0.126906\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 25.3538 | + | 9.20272i | 1.29215 | + | 0.469014i | ||||
\(386\) | 2.81004 | + | 4.86714i | 0.143028 | + | 0.247731i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −5.72099 | − | 21.3510i | −0.290439 | − | 1.08393i | ||||
\(389\) | − | 3.01128i | − | 0.152678i | −0.997082 | − | 0.0763390i | \(-0.975677\pi\) | ||
0.997082 | − | 0.0763390i | \(-0.0243231\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 11.7420i | − | 0.593817i | ||||||
\(392\) | 3.17319 | + | 1.47287i | 0.160270 | + | 0.0743913i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 1.36441 | − | 0.787740i | 0.0687378 | − | 0.0396858i | ||||
\(395\) | 18.6777 | + | 18.6777i | 0.939778 | + | 0.939778i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 13.7845 | + | 3.69353i | 0.691822 | + | 0.185373i | 0.587565 | − | 0.809177i | \(-0.300087\pi\) |
0.104257 | + | 0.994550i | \(0.466753\pi\) | |||||||
\(398\) | 2.35556 | − | 2.35556i | 0.118074 | − | 0.118074i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −26.6446 | − | 15.3833i | −1.33223 | − | 0.769164i | ||||
\(401\) | −29.6397 | + | 7.94193i | −1.48014 | + | 0.396601i | −0.906393 | − | 0.422435i | \(-0.861176\pi\) |
−0.573742 | + | 0.819036i | \(0.694509\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −7.50580 | − | 7.22080i | −0.373891 | − | 0.359694i | ||||
\(404\) | − | 15.6674i | − | 0.779481i | ||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 40.5765 | + | 3.51391i | 2.01378 | + | 0.174393i | ||||
\(407\) | −12.5407 | + | 7.24036i | −0.621618 | + | 0.358891i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.88987 | − | 10.7851i | 0.142895 | − | 0.533291i | −0.856945 | − | 0.515408i | \(-0.827641\pi\) |
0.999840 | − | 0.0178834i | \(-0.00569276\pi\) | |||||||
\(410\) | 2.60580 | − | 9.72499i | 0.128691 | − | 0.480283i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −9.52844 | + | 5.50125i | −0.469433 | + | 0.271027i | ||||
\(413\) | −10.8313 | − | 0.937986i | −0.532973 | − | 0.0461553i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | − | 49.4550i | − | 2.42765i | ||||||
\(416\) | 26.6295 | + | 6.58584i | 1.30562 | + | 0.322897i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −28.2613 | + | 7.57260i | −1.38231 | + | 0.370388i | ||||
\(419\) | 9.49737 | + | 5.48331i | 0.463977 | + | 0.267877i | 0.713715 | − | 0.700436i | \(-0.247011\pi\) |
−0.249738 | + | 0.968313i | \(0.580345\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.63694 | − | 6.63694i | 0.323465 | − | 0.323465i | −0.526630 | − | 0.850095i | \(-0.676545\pi\) |
0.850095 | + | 0.526630i | \(0.176545\pi\) | |||||||
\(422\) | −6.88584 | − | 1.84505i | −0.335197 | − | 0.0898159i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.926392 | − | 0.926392i | −0.0449895 | − | 0.0449895i | ||||
\(425\) | 7.99616 | − | 4.61658i | 0.387871 | − | 0.223937i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −18.3089 | + | 15.3906i | −0.886031 | + | 0.744801i | ||||
\(428\) | 33.1779i | 1.60371i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | − | 1.63763i | − | 0.0789734i | ||||||
\(431\) | −8.92021 | − | 33.2907i | −0.429671 | − | 1.60355i | −0.753506 | − | 0.657441i | \(-0.771639\pi\) |
0.323835 | − | 0.946114i | \(-0.395028\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −19.6718 | − | 34.0725i | −0.945365 | − | 1.63742i | −0.755019 | − | 0.655703i | \(-0.772372\pi\) |
−0.190346 | − | 0.981717i | \(-0.560961\pi\) | |||||||
\(434\) | 5.04399 | − | 13.8964i | 0.242119 | − | 0.667048i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 5.91243 | − | 22.0655i | 0.283154 | − | 1.05674i | ||||
\(437\) | 31.8398 | − | 31.8398i | 1.52311 | − | 1.52311i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0.862363 | − | 1.49366i | 0.0411583 | − | 0.0712883i | −0.844712 | − | 0.535220i | \(-0.820229\pi\) |
0.885871 | + | 0.463932i | \(0.153562\pi\) | |||||||
\(440\) | −1.31866 | − | 4.92130i | −0.0628645 | − | 0.234614i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −6.45727 | + | 6.71213i | −0.307141 | + | 0.319264i | ||||
\(443\) | 3.62484 | 0.172221 | 0.0861107 | − | 0.996286i | \(-0.472556\pi\) | ||||
0.0861107 | + | 0.996286i | \(0.472556\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −27.4382 | + | 47.5243i | −1.30069 | + | 2.25287i | ||||
\(446\) | −18.0975 | − | 31.3458i | −0.856943 | − | 1.48427i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.68579 | + | 15.1537i | 0.126892 | + | 0.715943i | ||||
\(449\) | −3.15356 | + | 11.7692i | −0.148826 | + | 0.555425i | 0.850730 | + | 0.525604i | \(0.176160\pi\) |
−0.999555 | + | 0.0298212i | \(0.990506\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 3.85711 | − | 2.22690i | 0.181624 | − | 0.104861i | ||||
\(452\) | −10.6599 | − | 6.15452i | −0.501402 | − | 0.289484i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −2.54041 | −0.119227 | ||||||||
\(455\) | 27.3485 | + | 18.3364i | 1.28212 | + | 0.859623i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −4.20527 | − | 15.6943i | −0.196714 | − | 0.734147i | −0.991816 | − | 0.127672i | \(-0.959250\pi\) |
0.795102 | − | 0.606475i | \(-0.207417\pi\) | |||||||
\(458\) | −16.5754 | − | 9.56978i | −0.774515 | − | 0.447167i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −37.3748 | − | 37.3748i | −1.74261 | − | 1.74261i | ||||
\(461\) | −0.972700 | + | 3.63017i | −0.0453031 | + | 0.169074i | −0.984871 | − | 0.173289i | \(-0.944561\pi\) |
0.939568 | + | 0.342363i | \(0.111227\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −8.26689 | − | 8.26689i | −0.384195 | − | 0.384195i | 0.488416 | − | 0.872611i | \(-0.337575\pi\) |
−0.872611 | + | 0.488416i | \(0.837575\pi\) | |||||||
\(464\) | −17.7070 | − | 30.6695i | −0.822028 | − | 1.42379i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −46.2126 | + | 12.3826i | −2.14076 | + | 0.573615i | ||||
\(467\) | −32.1951 | −1.48981 | −0.744905 | − | 0.667170i | \(-0.767505\pi\) | ||||
−0.744905 | + | 0.667170i | \(0.767505\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 12.8791 | + | 27.5559i | 0.594703 | + | 1.27241i | ||||
\(470\) | −2.76270 | − | 10.3105i | −0.127434 | − | 0.475590i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1.02681 | + | 1.77849i | 0.0472627 | + | 0.0818615i | ||||
\(473\) | 0.512255 | − | 0.512255i | 0.0235535 | − | 0.0235535i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 34.2010 | + | 9.16414i | 1.56925 | + | 0.420480i | ||||
\(476\) | −5.78444 | − | 2.09958i | −0.265129 | − | 0.0962343i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 17.3025 | + | 9.98958i | 0.791396 | + | 0.456913i | ||||
\(479\) | 0.610243 | + | 2.27746i | 0.0278827 | + | 0.104060i | 0.978465 | − | 0.206413i | \(-0.0661792\pi\) |
−0.950582 | + | 0.310473i | \(0.899513\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −16.9833 | + | 4.90478i | −0.774373 | + | 0.223639i | ||||
\(482\) | 17.2826i | 0.787202i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.98249 | − | 3.43377i | 0.0901130 | − | 0.156080i | ||||
\(485\) | −37.9381 | + | 21.9036i | −1.72268 | + | 0.994589i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −13.0172 | − | 3.48794i | −0.589864 | − | 0.158054i | −0.0484729 | − | 0.998824i | \(-0.515435\pi\) |
−0.541391 | + | 0.840771i | \(0.682102\pi\) | |||||||
\(488\) | 4.36407 | + | 1.16935i | 0.197552 | + | 0.0529339i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −8.03445 | + | 46.0406i | −0.362960 | + | 2.07990i | ||||
\(491\) | 24.0166 | + | 13.8660i | 1.08386 | + | 0.625764i | 0.931934 | − | 0.362628i | \(-0.118121\pi\) |
0.151921 | + | 0.988393i | \(0.451454\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 10.6279 | 0.478657 | ||||||||
\(494\) | −35.7105 | + | 0.691095i | −1.60669 | + | 0.0310938i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −12.4165 | + | 3.32699i | −0.557517 | + | 0.149386i | ||||
\(497\) | −30.1483 | − | 2.61083i | −1.35234 | − | 0.117112i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −12.5883 | + | 12.5883i | −0.563529 | + | 0.563529i | −0.930308 | − | 0.366779i | \(-0.880460\pi\) |
0.366779 | + | 0.930308i | \(0.380460\pi\) | |||||||
\(500\) | 2.97776 | − | 11.1132i | 0.133170 | − | 0.496996i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −16.7892 | + | 16.7892i | −0.749338 | + | 0.749338i | ||||
\(503\) | −35.8460 | + | 20.6957i | −1.59829 | + | 0.922776i | −0.606479 | + | 0.795100i | \(0.707418\pi\) |
−0.991816 | + | 0.127676i | \(0.959248\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −29.9923 | + | 8.03641i | −1.33464 | + | 0.357616i | ||||
\(506\) | − | 50.2325i | − | 2.23311i | ||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −24.6386 | −1.09316 | ||||||||
\(509\) | −3.60857 | + | 0.966913i | −0.159947 | + | 0.0428577i | −0.337904 | − | 0.941181i | \(-0.609718\pi\) |
0.177957 | + | 0.984038i | \(0.443051\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.27494 | − | 3.25505i | 0.100637 | − | 0.143995i | ||||
\(512\) | 20.7949 | − | 20.7949i | 0.919014 | − | 0.919014i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −10.4209 | − | 2.79228i | −0.459647 | − | 0.123162i | ||||
\(515\) | 15.4186 | + | 15.4186i | 0.679426 | + | 0.679426i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.36099 | − | 4.08935i | 0.103836 | − | 0.179850i | ||||
\(518\) | −16.1454 | − | 19.2070i | −0.709390 | − | 0.843905i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.120344 | − | 6.21846i | −0.00527744 | − | 0.272698i | ||||
\(521\) | − | 38.7341i | − | 1.69697i | −0.529219 | − | 0.848486i | \(-0.677515\pi\) | ||
0.529219 | − | 0.848486i | \(-0.322485\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 30.8201 | + | 17.7940i | 1.34767 | + | 0.778077i | 0.987919 | − | 0.154972i | \(-0.0495289\pi\) |
0.359749 | + | 0.933049i | \(0.382862\pi\) | |||||||
\(524\) | 8.69064 | + | 15.0526i | 0.379652 | + | 0.657577i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.910373 | + | 0.243934i | 0.0396942 | + | 0.0106360i | ||||
\(527\) | 0.998443 | − | 3.72624i | 0.0434929 | − | 0.162318i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 27.1537 | + | 47.0317i | 1.18060 | + | 2.04486i | ||||
\(530\) | 8.75125 | − | 15.1576i | 0.380130 | − | 0.658405i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −9.99194 | − | 21.3785i | −0.433205 | − | 0.926876i | ||||
\(533\) | 5.22354 | − | 1.50855i | 0.226256 | − | 0.0653427i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 63.5129 | − | 17.0182i | 2.74590 | − | 0.735763i | ||||
\(536\) | 2.87280 | − | 4.97583i | 0.124086 | − | 0.214923i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 22.5065 | + | 22.5065i | 0.970326 | + | 0.970326i | ||||
\(539\) | −16.9149 | + | 11.8884i | −0.728574 | + | 0.512072i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 12.2027 | + | 12.2027i | 0.524634 | + | 0.524634i | 0.918967 | − | 0.394333i | \(-0.129025\pi\) |
−0.394333 | + | 0.918967i | \(0.629025\pi\) | |||||||
\(542\) | −36.4073 | + | 21.0198i | −1.56383 | + | 0.902877i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.62971 | + | 9.81422i | 0.112748 | + | 0.420781i | ||||
\(545\) | −45.2730 | −1.93928 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −12.9228 | −0.552538 | −0.276269 | − | 0.961080i | \(-0.589098\pi\) | ||||
−0.276269 | + | 0.961080i | \(0.589098\pi\) | |||||||
\(548\) | 0.246110 | + | 0.918495i | 0.0105133 | + | 0.0392362i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 34.2078 | − | 19.7499i | 1.45863 | − | 0.842138i | ||||
\(551\) | 28.8189 | + | 28.8189i | 1.22773 | + | 1.22773i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −19.9363 | + | 3.53345i | −0.847779 | + | 0.150258i | ||||
\(554\) | 37.7964 | + | 37.7964i | 1.60581 | + | 1.60581i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −2.91152 | + | 5.04289i | −0.123476 | + | 0.213866i | ||||
\(557\) | −5.77693 | + | 1.54792i | −0.244777 | + | 0.0655877i | −0.379121 | − | 0.925347i | \(-0.623774\pi\) |
0.134345 | + | 0.990935i | \(0.457107\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.757180 | − | 0.456917i | 0.0320253 | − | 0.0193255i | ||||
\(560\) | 36.8155 | − | 17.2069i | 1.55574 | − | 0.727124i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 21.1599 | − | 36.6501i | 0.892578 | − | 1.54599i | ||||
\(563\) | −3.80484 | − | 6.59017i | −0.160355 | − | 0.277743i | 0.774641 | − | 0.632401i | \(-0.217930\pi\) |
−0.934996 | + | 0.354658i | \(0.884597\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −6.31379 | + | 23.5634i | −0.265623 | + | 0.991319i | ||||
\(566\) | −10.0027 | − | 2.68021i | −0.420443 | − | 0.112657i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 2.85807 | + | 4.95032i | 0.119922 | + | 0.207711i | ||||
\(569\) | 23.3969 | + | 13.5082i | 0.980848 | + | 0.566293i | 0.902526 | − | 0.430635i | \(-0.141711\pi\) |
0.0783217 | + | 0.996928i | \(0.475044\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 17.2946i | 0.723757i | 0.932225 | + | 0.361878i | \(0.117864\pi\) | ||||
−0.932225 | + | 0.361878i | \(0.882136\pi\) | |||||||
\(572\) | −12.8584 | + | 13.3660i | −0.537639 | + | 0.558859i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 4.96583 | + | 5.90745i | 0.207270 | + | 0.246572i | ||||
\(575\) | −30.3950 | + | 52.6456i | −1.26756 | + | 2.19547i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 1.06958 | + | 1.06958i | 0.0445272 | + | 0.0445272i | 0.729020 | − | 0.684493i | \(-0.239976\pi\) |
−0.684493 | + | 0.729020i | \(0.739976\pi\) | |||||||
\(578\) | 28.4309 | + | 7.61804i | 1.18257 | + | 0.316869i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 33.8287 | − | 33.8287i | 1.40466 | − | 1.40466i | ||||
\(581\) | 31.0718 | + | 21.7158i | 1.28907 | + | 0.900925i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 7.47878 | − | 2.00393i | 0.309739 | − | 0.0829944i | ||||
\(584\) | −0.750141 | −0.0310410 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | − | 23.7993i | − | 0.983139i | ||||||
\(587\) | 42.5402 | − | 11.3986i | 1.75582 | − | 0.470471i | 0.769967 | − | 0.638083i | \(-0.220272\pi\) |
0.985853 | + | 0.167613i | \(0.0536058\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 12.8116 | − | 7.39677i | 0.527892 | − | 0.304778i | ||||
\(590\) | −19.3997 | + | 19.3997i | −0.798674 | + | 0.798674i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −5.64678 | + | 21.0741i | −0.232081 | + | 0.866139i | ||||
\(593\) | −14.9496 | + | 14.9496i | −0.613907 | + | 0.613907i | −0.943962 | − | 0.330055i | \(-0.892933\pi\) |
0.330055 | + | 0.943962i | \(0.392933\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.05220 | + | 12.1502i | −0.0431361 | + | 0.498109i | ||||
\(596\) | −14.9143 | + | 3.99627i | −0.610913 | + | 0.163694i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 14.7221 | − | 59.5281i | 0.602033 | − | 2.43428i | ||||
\(599\) | −22.8397 | −0.933203 | −0.466601 | − | 0.884468i | \(-0.654522\pi\) | ||||
−0.466601 | + | 0.884468i | \(0.654522\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −24.7100 | − | 14.2663i | −1.00794 | − | 0.581936i | −0.0973547 | − | 0.995250i | \(-0.531038\pi\) |
−0.910589 | + | 0.413313i | \(0.864371\pi\) | |||||||
\(602\) | 1.02889 | + | 0.719087i | 0.0419346 | + | 0.0293078i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 24.8248 | + | 6.65178i | 1.01011 | + | 0.270657i | ||||
\(605\) | −7.59020 | − | 2.03379i | −0.308586 | − | 0.0826852i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −22.6642 | + | 13.0852i | −0.919913 | + | 0.531112i | −0.883607 | − | 0.468229i | \(-0.844892\pi\) |
−0.0363055 | + | 0.999341i | \(0.511559\pi\) | |||||||
\(608\) | −19.4817 | + | 33.7433i | −0.790087 | + | 1.36847i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 60.3585i | 2.44385i | ||||||||
\(611\) | 3.99640 | − | 4.15413i | 0.161677 | − | 0.168058i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 7.15174 | + | 26.6907i | 0.288856 | + | 1.07803i | 0.945975 | + | 0.324239i | \(0.105108\pi\) |
−0.657119 | + | 0.753787i | \(0.728225\pi\) | |||||||
\(614\) | 19.8226 | + | 11.4446i | 0.799977 | + | 0.461867i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.67099 | + | 1.33247i | 0.147909 | + | 0.0536866i | ||||
\(617\) | −18.4697 | − | 4.94894i | −0.743562 | − | 0.199237i | −0.132901 | − | 0.991129i | \(-0.542429\pi\) |
−0.610660 | + | 0.791893i | \(0.709096\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −5.80624 | + | 5.80624i | −0.233373 | + | 0.233373i | −0.814099 | − | 0.580726i | \(-0.802769\pi\) |
0.580726 | + | 0.814099i | \(0.302769\pi\) | |||||||
\(620\) | −8.68261 | − | 15.0387i | −0.348702 | − | 0.603970i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 1.14394 | + | 4.26923i | 0.0458677 | + | 0.171180i | ||||
\(623\) | −17.8105 | − | 38.1070i | −0.713563 | − | 1.52672i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 11.7678 | 0.470712 | ||||||||
\(626\) | 46.0857 | − | 12.3486i | 1.84196 | − | 0.493550i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.922415 | + | 1.59767i | 0.0368084 | + | 0.0637540i | ||||
\(629\) | −4.62979 | − | 4.62979i | −0.184602 | − | 0.184602i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1.64802 | − | 6.15049i | 0.0656065 | − | 0.244847i | −0.925333 | − | 0.379155i | \(-0.876215\pi\) |
0.990940 | + | 0.134308i | \(0.0428813\pi\) | |||||||
\(632\) | 2.70436 | + | 2.70436i | 0.107573 | + | 0.107573i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −8.42348 | − | 4.86330i | −0.334539 | − | 0.193146i | ||||
\(635\) | 12.6381 | + | 47.1661i | 0.501529 | + | 1.87173i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −23.5292 | + | 9.13101i | −0.932262 | + | 0.361784i | ||||
\(638\) | 45.4665 | 1.80004 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −11.8515 | − | 6.84248i | −0.468473 | − | 0.270473i | ||||
\(641\) | 12.5318 | − | 7.23523i | 0.494976 | − | 0.285774i | −0.231660 | − | 0.972797i | \(-0.574416\pi\) |
0.726636 | + | 0.687022i | \(0.241083\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 7.35905 | − | 27.4644i | 0.290213 | − | 1.08309i | −0.654733 | − | 0.755861i | \(-0.727219\pi\) |
0.944945 | − | 0.327228i | \(-0.106115\pi\) | |||||||
\(644\) | 39.8933 | − | 7.07057i | 1.57202 | − | 0.278620i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −6.61463 | − | 11.4569i | −0.260249 | − | 0.450765i | ||||
\(647\) | −4.83456 | + | 8.37370i | −0.190066 | + | 0.329204i | −0.945272 | − | 0.326284i | \(-0.894204\pi\) |
0.755206 | + | 0.655488i | \(0.227537\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −12.1366 | −0.476403 | ||||||||
\(650\) | 46.3263 | − | 13.3790i | 1.81707 | − | 0.524768i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 4.81762 | + | 17.9796i | 0.188672 | + | 0.704135i | ||||
\(653\) | 16.6586 | − | 28.8535i | 0.651900 | − | 1.12912i | −0.330762 | − | 0.943714i | \(-0.607306\pi\) |
0.982661 | − | 0.185409i | \(-0.0593610\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 24.3577 | − | 24.3577i | 0.951734 | − | 0.951734i | ||||
\(656\) | 1.73677 | − | 6.48172i | 0.0678095 | − | 0.253069i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 7.69105 | + | 2.79163i | 0.299828 | + | 0.108829i | ||||
\(659\) | −13.4367 | − | 23.2730i | −0.523418 | − | 0.906586i | −0.999629 | − | 0.0272549i | \(-0.991323\pi\) |
0.476211 | − | 0.879331i | \(-0.342010\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −4.30948 | − | 16.0832i | −0.167619 | − | 0.625564i | −0.997692 | − | 0.0679081i | \(-0.978368\pi\) |
0.830072 | − | 0.557656i | \(-0.188299\pi\) | |||||||
\(662\) | 35.3344i | 1.37331i | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | − | 7.16062i | − | 0.277886i | ||||||
\(665\) | −35.7999 | + | 30.0936i | −1.38826 | + | 1.16698i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −60.5981 | + | 34.9863i | −2.34637 | + | 1.35468i | ||||
\(668\) | 0.968429 | + | 0.968429i | 0.0374696 | + | 0.0374696i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 74.1428 | + | 19.8665i | 2.86439 | + | 0.767510i | ||||
\(671\) | −18.8803 | + | 18.8803i | −0.728868 | + | 0.728868i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 22.1779 | + | 12.8044i | 0.854896 | + | 0.493574i | 0.862300 | − | 0.506398i | \(-0.169023\pi\) |
−0.00740398 | + | 0.999973i | \(0.502357\pi\) | |||||||
\(674\) | 41.8440 | − | 11.2121i | 1.61177 | − | 0.431873i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −19.1552 | + | 12.0708i | −0.736739 | + | 0.464261i | ||||
\(677\) | − | 11.4036i | − | 0.438275i | −0.975694 | − | 0.219138i | \(-0.929676\pi\) | ||
0.975694 | − | 0.219138i | \(-0.0703244\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.89708 | − | 33.4538i | 0.111180 | − | 1.28384i | ||||
\(680\) | 1.99505 | − | 1.15184i | 0.0765066 | − | 0.0441711i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 4.27137 | − | 15.9410i | 0.163559 | − | 0.610412i | ||||
\(683\) | −9.10656 | + | 33.9861i | −0.348453 | + | 1.30044i | 0.540073 | + | 0.841618i | \(0.318396\pi\) |
−0.888526 | + | 0.458826i | \(0.848270\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.63205 | − | 0.942264i | 0.0623574 | − | 0.0360021i | ||||
\(686\) | −25.3986 | − | 25.2645i | −0.969722 | − | 0.964602i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | − | 1.09148i | − | 0.0416123i | ||||||
\(689\) | 9.45004 | − | 0.182884i | 0.360018 | − | 0.00696733i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −40.2685 | + | 10.7899i | −1.53189 | + | 0.410468i | −0.923634 | − | 0.383276i | \(-0.874796\pi\) |
−0.608252 | + | 0.793744i | \(0.708129\pi\) | |||||||
\(692\) | −8.40300 | − | 4.85147i | −0.319434 | − | 0.184425i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 19.1833 | − | 19.1833i | 0.728188 | − | 0.728188i | ||||
\(695\) | 11.1471 | + | 2.98686i | 0.422834 | + | 0.113298i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.42398 | + | 1.42398i | 0.0539370 | + | 0.0539370i | ||||
\(698\) | 13.7240 | − | 7.92353i | 0.519460 | − | 0.299910i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 20.4998 | + | 24.3870i | 0.774821 | + | 0.921743i | ||||
\(701\) | − | 8.53135i | − | 0.322225i | −0.986936 | − | 0.161112i | \(-0.948492\pi\) | ||
0.986936 | − | 0.161112i | \(-0.0515081\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 25.1085i | − | 0.946986i | ||||||
\(704\) | 4.44656 | + | 16.5948i | 0.167586 | + | 0.625440i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −25.1538 | − | 43.5677i | −0.946676 | − | 1.63969i | ||||
\(707\) | 8.12056 | − | 22.3725i | 0.305405 | − | 0.841403i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −0.424499 | + | 1.58425i | −0.0159424 | + | 0.0594978i | −0.973439 | − | 0.228947i | \(-0.926472\pi\) |
0.957496 | + | 0.288445i | \(0.0931383\pi\) | |||||||
\(710\) | −53.9981 | + | 53.9981i | −2.02651 | + | 2.02651i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −3.97278 | + | 6.88106i | −0.148886 | + | 0.257879i | ||||
\(713\) | 6.57361 | + | 24.5331i | 0.246184 | + | 0.918770i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 32.1822 | + | 17.7592i | 1.20355 | + | 0.664156i | ||||
\(716\) | −6.12026 | −0.228725 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 5.08300 | − | 8.80401i | 0.189696 | − | 0.328563i | ||||
\(719\) | 7.35184 | + | 12.7338i | 0.274177 | + | 0.474889i | 0.969927 | − | 0.243395i | \(-0.0782611\pi\) |
−0.695750 | + | 0.718284i | \(0.744928\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −16.4576 | + | 2.91690i | −0.612914 | + | 0.108631i | ||||
\(722\) | 3.61816 | − | 13.5032i | 0.134654 | − | 0.502536i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −35.1712 | + | 20.3061i | −1.30713 | + | 0.754671i | ||||
\(725\) | −47.6507 | − | 27.5111i | −1.76970 | − | 1.02174i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −26.9644 | −1.00005 | −0.500026 | − | 0.866010i | \(-0.666676\pi\) | ||||
−0.500026 | + | 0.866010i | \(0.666676\pi\) | |||||||
\(728\) | 3.95980 | + | 2.65493i | 0.146760 | + | 0.0983984i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −2.59376 | − | 9.68004i | −0.0959993 | − | 0.358274i | ||||
\(731\) | 0.283674 | + | 0.163779i | 0.0104920 | + | 0.00605759i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 27.0088 | + | 27.0088i | 0.997593 | + | 0.997593i | 0.999997 | − | 0.00240406i | \(-0.000765238\pi\) |
−0.00240406 | + | 0.999997i | \(0.500765\pi\) | |||||||
\(734\) | 15.5453 | − | 58.0157i | 0.573786 | − | 2.14140i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −47.3018 | − | 47.3018i | −1.74357 | − | 1.74357i | ||||
\(737\) | 16.9778 | + | 29.4064i | 0.625386 | + | 1.08320i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 45.4039 | − | 12.1659i | 1.67021 | − | 0.447532i | 0.705043 | − | 0.709165i | \(-0.250928\pi\) |
0.965167 | + | 0.261633i | \(0.0842610\pi\) | |||||||
\(740\) | −29.4734 | −1.08346 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 5.68057 | + | 12.1540i | 0.208540 | + | 0.446188i | ||||
\(743\) | −7.20187 | − | 26.8777i | −0.264211 | − | 0.986049i | −0.962732 | − | 0.270459i | \(-0.912825\pi\) |
0.698521 | − | 0.715590i | \(-0.253842\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 15.3002 | + | 26.5008i | 0.560557 | + | 0.970914i | ||||
\(746\) | 17.3958 | − | 17.3958i | 0.636907 | − | 0.636907i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −6.63550 | − | 1.77798i | −0.242618 | − | 0.0650093i | ||||
\(749\) | −17.1964 | + | 47.3769i | −0.628344 | + | 1.73111i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 35.2503 | + | 20.3518i | 1.28630 | + | 0.742647i | 0.977993 | − | 0.208639i | \(-0.0669034\pi\) |
0.308310 | + | 0.951286i | \(0.400237\pi\) | |||||||
\(752\) | −1.84134 | − | 6.87199i | −0.0671469 | − | 0.250596i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 53.8801 | + | 13.3253i | 1.96220 | + | 0.485279i | ||||
\(755\) | − | 50.9344i | − | 1.85369i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 6.21461 | − | 10.7640i | 0.225874 | − | 0.391225i | −0.730707 | − | 0.682691i | \(-0.760810\pi\) |
0.956581 | + | 0.291466i | \(0.0941430\pi\) | |||||||
\(758\) | 32.6045 | − | 18.8242i | 1.18425 | − | 0.683726i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 8.53318 | + | 2.28646i | 0.309531 | + | 0.0829386i | ||||
\(761\) | −9.99508 | − | 2.67817i | −0.362322 | − | 0.0970838i | 0.0730655 | − | 0.997327i | \(-0.476722\pi\) |
−0.435387 | + | 0.900243i | \(0.643388\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 19.8795 | − | 28.4442i | 0.719686 | − | 1.02975i | ||||
\(764\) | 20.9726 | + | 12.1085i | 0.758762 | + | 0.438071i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −10.3316 | −0.373295 | ||||||||
\(767\) | −14.3825 | − | 3.55699i | −0.519322 | − | 0.128435i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −12.9631 | + | 3.47345i | −0.467461 | + | 0.125256i | −0.484858 | − | 0.874593i | \(-0.661129\pi\) |
0.0173970 | + | 0.999849i | \(0.494462\pi\) | |||||||
\(770\) | −4.50135 | + | 51.9789i | −0.162218 | + | 1.87319i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −3.57812 | + | 3.57812i | −0.128779 | + | 0.128779i | ||||
\(773\) | 8.80996 | − | 32.8792i | 0.316872 | − | 1.18258i | −0.605362 | − | 0.795950i | \(-0.706972\pi\) |
0.922234 | − | 0.386632i | \(-0.126362\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −14.1222 | + | 14.1222i | −0.507285 | + | 0.507285i | ||||
\(776\) | −5.49307 | + | 3.17143i | −0.197190 | + | 0.113848i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 5.62633 | − | 1.50757i | 0.201714 | − | 0.0540491i | ||||
\(779\) | 7.72259i | 0.276691i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −33.7816 | −1.20880 | ||||||||
\(782\) | 21.9389 | − | 5.87852i | 0.784534 | − | 0.210215i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −5.35497 | + | 30.6861i | −0.191249 | + | 1.09593i | ||||
\(785\) | 2.58530 | − | 2.58530i | 0.0922733 | − | 0.0922733i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −44.0881 | − | 11.8134i | −1.57157 | − | 0.421101i | −0.635267 | − | 0.772293i | \(-0.719110\pi\) |
−0.936303 | + | 0.351192i | \(0.885776\pi\) | |||||||
\(788\) | 1.00305 | + | 1.00305i | 0.0357323 | + | 0.0357323i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −25.5470 | + | 44.2487i | −0.908921 | + | 1.57430i | ||||
\(791\) | −12.0321 | − | 14.3136i | −0.427811 | − | 0.508933i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −27.9076 | + | 16.8407i | −0.991029 | + | 0.598032i | ||||
\(794\) | 27.6043i | 0.979639i | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 2.59757 | + | 1.49971i | 0.0920683 | + | 0.0531557i | ||||
\(797\) | −2.38876 | − | 4.13745i | −0.0846141 | − | 0.146556i | 0.820613 | − | 0.571485i | \(-0.193632\pi\) |
−0.905227 | + | 0.424929i | \(0.860299\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.06231 | + | 0.552595i | 0.0729594 | + | 0.0195494i | ||||
\(800\) | 13.6144 | − | 50.8097i | 0.481342 | − | 1.79639i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −29.6777 | − | 51.4033i | −1.04796 | − | 1.81511i | ||||
\(803\) | 2.21661 | − | 3.83929i | 0.0782226 | − | 0.135485i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −33.9981 | − | 72.7416i | −1.19828 | − | 2.56381i | ||||
\(806\) | 9.73377 | − | 17.6390i | 0.342857 | − | 0.621308i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −4.34260 | + | 1.16360i | −0.152772 | + | 0.0409351i | ||||
\(809\) | −15.3742 | + | 26.6289i | −0.540529 | + | 0.936224i | 0.458345 | + | 0.888775i | \(0.348443\pi\) |
−0.998874 | + | 0.0474491i | \(0.984891\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 27.1910 | + | 27.1910i | 0.954806 | + | 0.954806i | 0.999022 | − | 0.0442157i | \(-0.0140789\pi\) |
−0.0442157 | + | 0.999022i | \(0.514079\pi\) | |||||||
\(812\) | 6.39972 | + | 36.1083i | 0.224586 | + | 1.26715i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −19.8064 | − | 19.8064i | −0.694214 | − | 0.694214i | ||||
\(815\) | 31.9474 | − | 18.4449i | 1.11907 | − | 0.646095i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.325109 | + | 1.21332i | 0.0113741 | + | 0.0424488i | ||||
\(818\) | 21.5980 | 0.755155 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 9.06508 | 0.316566 | ||||||||
\(821\) | −0.190347 | − | 0.710386i | −0.00664317 | − | 0.0247926i | 0.962525 | − | 0.271194i | \(-0.0874185\pi\) |
−0.969168 | + | 0.246401i | \(0.920752\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −29.7715 | + | 17.1886i | −1.03777 | + | 0.599157i | −0.919201 | − | 0.393789i | \(-0.871164\pi\) |
−0.118570 | + | 0.992946i | \(0.537831\pi\) | |||||||
\(824\) | 2.23247 | + | 2.23247i | 0.0777718 | + | 0.0777718i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −3.67004 | − | 20.7070i | −0.127697 | − | 0.720488i | ||||
\(827\) | −17.5703 | − | 17.5703i | −0.610979 | − | 0.610979i | 0.332222 | − | 0.943201i | \(-0.392202\pi\) |
−0.943201 | + | 0.332222i | \(0.892202\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 0.225668 | − | 0.390869i | 0.00783778 | − | 0.0135754i | −0.862080 | − | 0.506772i | \(-0.830838\pi\) |
0.869918 | + | 0.493197i | \(0.164172\pi\) | |||||||
\(830\) | 92.4028 | − | 24.7592i | 3.20735 | − | 0.859406i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.405805 | + | 20.9689i | 0.0140688 | + | 0.726965i | ||||
\(833\) | −7.17173 | − | 5.99626i | −0.248486 | − | 0.207758i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.35713 | − | 2.35062i | 0.0469655 | − | 0.0813466i | ||||
\(836\) | −13.1718 | − | 22.8142i | −0.455556 | − | 0.789046i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −5.49034 | + | 20.4902i | −0.189661 | + | 0.707824i | ||||
\(839\) | 42.5808 | + | 11.4095i | 1.47005 | + | 0.393899i | 0.902949 | − | 0.429748i | \(-0.141398\pi\) |
0.567102 | + | 0.823647i | \(0.308064\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −17.1669 | − | 29.7339i | −0.591961 | − | 1.02531i | ||||
\(842\) | 15.7233 | + | 9.07786i | 0.541861 | + | 0.312844i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | − | 6.41858i | − | 0.220937i | ||||||
\(845\) | 32.9327 | + | 30.4775i | 1.13292 | + | 1.04846i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 4.61067 | − | 3.87575i | 0.158425 | − | 0.133172i | ||||
\(848\) | 5.83272 | − | 10.1026i | 0.200297 | − | 0.346924i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 12.6289 | + | 12.6289i | 0.433169 | + | 0.433169i | ||||
\(851\) | 41.6391 | + | 11.1572i | 1.42737 | + | 0.382463i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −3.63181 | + | 3.63181i | −0.124351 | + | 0.124351i | −0.766543 | − | 0.642193i | \(-0.778025\pi\) |
0.642193 | + | 0.766543i | \(0.278025\pi\) | |||||||
\(854\) | −37.9222 | − | 26.5036i | −1.29767 | − | 0.906934i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 9.19607 | − | 2.46408i | 0.314315 | − | 0.0842205i | ||||
\(857\) | −12.7961 | −0.437106 | −0.218553 | − | 0.975825i | \(-0.570134\pi\) | ||||
−0.218553 | + | 0.975825i | \(0.570134\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 8.61431i | − | 0.293917i | −0.989143 | − | 0.146958i | \(-0.953052\pi\) | ||
0.989143 | − | 0.146958i | \(-0.0469483\pi\) | |||||||
\(860\) | 1.42425 | − | 0.381626i | 0.0485664 | − | 0.0130133i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 57.7351 | − | 33.3334i | 1.96647 | − | 1.13534i | ||||
\(863\) | −36.6611 | + | 36.6611i | −1.24796 | + | 1.24796i | −0.291338 | + | 0.956620i | \(0.594101\pi\) |
−0.956620 | + | 0.291338i | \(0.905899\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −4.97702 | + | 18.5745i | −0.169224 | + | 0.631552i | ||||
\(866\) | 53.8132 | − | 53.8132i | 1.82865 | − | 1.82865i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 13.2611 | + | 1.14841i | 0.450112 | + | 0.0389796i | ||||
\(869\) | −21.8323 | + | 5.84995i | −0.740610 | + | 0.198446i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 11.5011 | + | 39.8240i | 0.389701 | + | 1.34938i | ||||
\(872\) | −6.55509 | −0.221983 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 75.4305 | + | 43.5498i | 2.55147 | + | 1.47309i | ||||
\(875\) | 10.0122 | − | 14.3258i | 0.338474 | − | 0.484300i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −8.12066 | − | 2.17593i | −0.274215 | − | 0.0734758i | 0.119091 | − | 0.992883i | \(-0.462002\pi\) |
−0.393306 | + | 0.919408i | \(0.628669\pi\) | |||||||
\(878\) | 3.22251 | + | 0.863470i | 0.108755 | + | 0.0291407i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 39.2879 | − | 22.6829i | 1.32439 | − | 0.764639i | ||||
\(881\) | 24.2720 | − | 42.0404i | 0.817745 | − | 1.41638i | −0.0895951 | − | 0.995978i | \(-0.528557\pi\) |
0.907340 | − | 0.420397i | \(-0.138109\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 41.4666i | 1.39546i | 0.716359 | + | 0.697731i | \(0.245807\pi\) | ||||
−0.716359 | + | 0.697731i | \(0.754193\pi\) | |||||||
\(884\) | −7.34232 | − | 4.05173i | −0.246949 | − | 0.136274i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 1.81475 | + | 6.77273i | 0.0609676 | + | 0.227534i | ||||
\(887\) | 35.6698 | + | 20.5940i | 1.19768 | + | 0.691479i | 0.960037 | − | 0.279875i | \(-0.0902929\pi\) |
0.237640 | + | 0.971353i | \(0.423626\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −35.1831 | − | 12.7705i | −1.18000 | − | 0.428307i | ||||
\(890\) | −102.532 | − | 27.4734i | −3.43688 | − | 0.920909i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 23.0441 | − | 23.0441i | 0.771575 | − | 0.771575i | ||||
\(893\) | 4.09379 | + | 7.09065i | 0.136993 | + | 0.237280i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 3.13932 | + | 11.7161i | 0.104936 | + | 0.391626i | ||||
\(896\) | 9.50305 | − | 4.44156i | 0.317475 | − | 0.148382i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −23.5687 | −0.786497 | ||||||||
\(899\) | −22.2054 | + | 5.94992i | −0.740591 | + | 0.198441i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.75042 | + | 3.03182i | 0.0583151 | + | 0.101005i | ||||
\(902\) | 6.09182 | + | 6.09182i | 0.202836 | + | 0.202836i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −0.914177 | + | 3.41175i | −0.0304051 | + | 0.113473i | ||||
\(905\) | 56.9130 | + | 56.9130i | 1.89185 | + | 1.89185i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −11.7828 | − | 6.80280i | −0.391241 | − | 0.225883i | 0.291456 | − | 0.956584i | \(-0.405860\pi\) |
−0.682698 | + | 0.730701i | \(0.739193\pi\) | |||||||
\(908\) | −0.592007 | − | 2.20940i | −0.0196464 | − | 0.0733215i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −20.5683 | + | 60.2784i | −0.681832 | + | 1.99821i | ||||
\(911\) | 4.82402 | 0.159827 | 0.0799135 | − | 0.996802i | \(-0.474536\pi\) | ||||
0.0799135 | + | 0.996802i | \(0.474536\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 36.6487 | + | 21.1591i | 1.21289 | + | 0.700265i | ||||
\(914\) | 27.2181 | − | 15.7144i | 0.900296 | − | 0.519786i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 4.46020 | − | 16.6457i | 0.147369 | − | 0.549989i | ||||
\(917\) | 4.60799 | + | 25.9991i | 0.152169 | + | 0.858564i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 26.8960 | + | 46.5852i | 0.887216 | + | 1.53670i | 0.843153 | + | 0.537674i | \(0.180697\pi\) |
0.0440628 | + | 0.999029i | \(0.485970\pi\) | |||||||
\(920\) | −7.58356 | + | 13.1351i | −0.250023 | + | 0.433052i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −7.26965 | −0.239413 | ||||||||
\(923\) | −40.0329 | − | 9.90069i | −1.31770 | − | 0.325885i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 8.77331 | + | 32.7425i | 0.288465 | + | 1.07657i | ||||
\(926\) | 11.3073 | − | 19.5848i | 0.371580 | − | 0.643596i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 42.8139 | − | 42.8139i | 1.40543 | − | 1.40543i | ||||
\(929\) | 1.83189 | − | 6.83673i | 0.0601025 | − | 0.224306i | −0.929341 | − | 0.369221i | \(-0.879624\pi\) |
0.989444 | + | 0.144916i | \(0.0462911\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −3.18743 | − | 35.7067i | −0.104464 | − | 1.17024i | ||||
\(932\) | −21.5384 | − | 37.3056i | −0.705513 | − | 1.22198i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −16.1182 | − | 60.1539i | −0.527403 | − | 1.96830i | ||||
\(935\) | 13.6144i | 0.445240i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 17.4831i | − | 0.571147i | −0.958357 | − | 0.285574i | \(-0.907816\pi\) | ||
0.958357 | − | 0.285574i | \(-0.0921841\pi\) | |||||||
\(938\) | −45.0381 | + | 37.8592i | −1.47055 | + | 1.23615i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 8.32328 | − | 4.80545i | 0.271475 | − | 0.156736i | ||||
\(941\) | 11.1218 | + | 11.1218i | 0.362560 | + | 0.362560i | 0.864754 | − | 0.502195i | \(-0.167474\pi\) |
−0.502195 | + | 0.864754i | \(0.667474\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −12.8069 | − | 3.43159i | −0.417049 | − | 0.111748i | ||||
\(944\) | −12.9299 | + | 12.9299i | −0.420834 | + | 0.420834i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1.21356 | + | 0.700652i | 0.0394564 | + | 0.0227802i | ||||
\(947\) | 42.7851 | − | 11.4642i | 1.39033 | − | 0.372537i | 0.515466 | − | 0.856910i | \(-0.327619\pi\) |
0.874862 | + | 0.484373i | \(0.160952\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 3.75202 | − | 3.90011i | 0.121796 | − | 0.126603i | ||||
\(950\) | 68.4899i | 2.22210i | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −0.152349 | + | 1.75923i | −0.00493765 | + | 0.0570170i | ||||
\(953\) | 46.1967 | − | 26.6717i | 1.49646 | − | 0.863980i | 0.496465 | − | 0.868057i | \(-0.334631\pi\) |
0.999992 | + | 0.00407700i | \(0.00129775\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 12.4219 | − | 46.3591i | 0.401962 | − | 1.50014i | ||||
\(956\) | −4.65586 | + | 17.3759i | −0.150581 | + | 0.561976i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −3.94974 | + | 2.28038i | −0.127610 | + | 0.0736758i | ||||
\(959\) | −0.124629 | + | 1.43914i | −0.00402448 | + | 0.0464722i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | − | 22.6556i | − | 0.730826i | ||||||
\(962\) | −17.6667 | − | 29.2765i | −0.569599 | − | 0.943911i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −15.0307 | + | 4.02747i | −0.484107 | + | 0.129716i | ||||
\(965\) | 8.68499 | + | 5.01428i | 0.279580 | + | 0.161415i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 8.45160 | − | 8.45160i | 0.271785 | − | 0.271785i | −0.558033 | − | 0.829819i | \(-0.688444\pi\) |
0.829819 | + | 0.558033i | \(0.188444\pi\) | |||||||
\(968\) | −1.09899 | − | 0.294473i | −0.0353228 | − | 0.00946472i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −59.9184 | − | 59.9184i | −1.92386 | − | 1.92386i | ||||
\(971\) | −14.8642 | + | 8.58184i | −0.477014 | + | 0.275404i | −0.719171 | − | 0.694833i | \(-0.755478\pi\) |
0.242157 | + | 0.970237i | \(0.422145\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −6.77132 | + | 5.69200i | −0.217079 | + | 0.182477i | ||||
\(974\) | − | 26.0677i | − | 0.835264i | ||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 40.2290i | 1.28770i | ||||||||
\(977\) | 0.601718 | + | 2.24564i | 0.0192507 | + | 0.0718444i | 0.974883 | − | 0.222718i | \(-0.0714928\pi\) |
−0.955632 | + | 0.294562i | \(0.904826\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −23.4786 | − | 40.6661i | −0.750379 | − | 1.29969i | ||||
\(980\) | −41.9139 | + | 3.74153i | −1.33889 | + | 0.119519i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −13.8838 | + | 51.8150i | −0.443050 | + | 1.65348i | ||||
\(983\) | 28.2865 | − | 28.2865i | 0.902198 | − | 0.902198i | −0.0934279 | − | 0.995626i | \(-0.529782\pi\) |
0.995626 | + | 0.0934279i | \(0.0297825\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1.40566 | − | 2.43467i | 0.0447879 | − | 0.0775749i | ||||
\(986\) | 5.32077 | + | 19.8574i | 0.169448 | + | 0.632388i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −8.92286 | − | 30.8964i | −0.283874 | − | 0.982945i | ||||
\(989\) | −2.15660 | −0.0685758 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 19.2831 | − | 33.3993i | 0.612549 | − | 1.06097i | −0.378261 | − | 0.925699i | \(-0.623478\pi\) |
0.990809 | − | 0.135266i | \(-0.0431889\pi\) | |||||||
\(992\) | −10.9888 | − | 19.0331i | −0.348894 | − | 0.604302i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −10.2154 | − | 57.6368i | −0.324012 | − | 1.82813i | ||||
\(995\) | 1.53852 | − | 5.74182i | 0.0487742 | − | 0.182028i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 27.3485 | − | 15.7897i | 0.866136 | − | 0.500064i | 7.37730e−5 | − | 1.00000i | \(-0.499977\pi\) |
0.866062 | + | 0.499936i | \(0.166643\pi\) | |||||||
\(998\) | −29.8224 | − | 17.2180i | −0.944012 | − | 0.545026i | ||||
\(999\) | 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 | 819.2.fm.f.370.7 | 32 | ||
3.2 | odd | 2 | 273.2.by.c.97.2 | yes | 32 | ||
7.6 | odd | 2 | 819.2.fm.e.370.7 | 32 | |||
13.11 | odd | 12 | 819.2.fm.e.622.7 | 32 | |||
21.20 | even | 2 | 273.2.by.d.97.2 | yes | 32 | ||
39.11 | even | 12 | 273.2.by.d.76.2 | yes | 32 | ||
91.76 | even | 12 | inner | 819.2.fm.f.622.7 | 32 | ||
273.167 | odd | 12 | 273.2.by.c.76.2 | ✓ | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.by.c.76.2 | ✓ | 32 | 273.167 | odd | 12 | ||
273.2.by.c.97.2 | yes | 32 | 3.2 | odd | 2 | ||
273.2.by.d.76.2 | yes | 32 | 39.11 | even | 12 | ||
273.2.by.d.97.2 | yes | 32 | 21.20 | even | 2 | ||
819.2.fm.e.370.7 | 32 | 7.6 | odd | 2 | |||
819.2.fm.e.622.7 | 32 | 13.11 | odd | 12 | |||
819.2.fm.f.370.7 | 32 | 1.1 | even | 1 | trivial | ||
819.2.fm.f.622.7 | 32 | 91.76 | even | 12 | inner |