Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(59,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.r (of order \(10\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 119.50 | ||
Character | \(\chi\) | \(=\) | 300.119 |
Dual form | 300.2.r.a.179.50 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{9}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.29139 | − | 0.576465i | 0.913151 | − | 0.407623i | ||||
\(3\) | −1.32930 | − | 1.11038i | −0.767475 | − | 0.641079i | ||||
\(4\) | 1.33538 | − | 1.48888i | 0.667688 | − | 0.744441i | ||||
\(5\) | 1.53346 | + | 1.62742i | 0.685783 | + | 0.727806i | ||||
\(6\) | −2.35675 | − | 0.667638i | −0.962138 | − | 0.272562i | ||||
\(7\) | 2.22039 | 0.839229 | 0.419614 | − | 0.907702i | \(-0.362165\pi\) | ||||
0.419614 | + | 0.907702i | \(0.362165\pi\) | |||||||
\(8\) | 0.866201 | − | 2.69253i | 0.306248 | − | 0.951952i | ||||
\(9\) | 0.534103 | + | 2.95207i | 0.178034 | + | 0.984024i | ||||
\(10\) | 2.91845 | + | 1.21765i | 0.922893 | + | 0.385056i | ||||
\(11\) | −0.989133 | − | 3.04424i | −0.298235 | − | 0.917872i | −0.982116 | − | 0.188279i | \(-0.939709\pi\) |
0.683881 | − | 0.729594i | \(-0.260291\pi\) | |||||||
\(12\) | −3.42835 | + | 0.496402i | −0.989679 | + | 0.143299i | ||||
\(13\) | 2.10285 | + | 0.683258i | 0.583226 | + | 0.189502i | 0.585745 | − | 0.810495i | \(-0.300802\pi\) |
−0.00251920 | + | 0.999997i | \(0.500802\pi\) | |||||||
\(14\) | 2.86739 | − | 1.27998i | 0.766342 | − | 0.342089i | ||||
\(15\) | −0.231371 | − | 3.86607i | −0.0597398 | − | 0.998214i | ||||
\(16\) | −0.433545 | − | 3.97644i | −0.108386 | − | 0.994109i | ||||
\(17\) | −6.14912 | − | 4.46760i | −1.49138 | − | 1.08355i | −0.973661 | − | 0.228002i | \(-0.926781\pi\) |
−0.517720 | − | 0.855550i | \(-0.673219\pi\) | |||||||
\(18\) | 2.39150 | + | 3.50439i | 0.563683 | + | 0.825991i | ||||
\(19\) | −1.90735 | + | 2.62524i | −0.437576 | + | 0.602272i | −0.969671 | − | 0.244413i | \(-0.921405\pi\) |
0.532095 | + | 0.846684i | \(0.321405\pi\) | |||||||
\(20\) | 4.47078 | − | 0.109918i | 0.999698 | − | 0.0245784i | ||||
\(21\) | −2.95158 | − | 2.46548i | −0.644087 | − | 0.538012i | ||||
\(22\) | −3.03225 | − | 3.36110i | −0.646479 | − | 0.716588i | ||||
\(23\) | −0.789888 | + | 0.256650i | −0.164703 | + | 0.0535153i | −0.390208 | − | 0.920727i | \(-0.627597\pi\) |
0.225505 | + | 0.974242i | \(0.427597\pi\) | |||||||
\(24\) | −4.14118 | + | 2.61737i | −0.845314 | + | 0.534269i | ||||
\(25\) | −0.297014 | + | 4.99117i | −0.0594028 | + | 0.998234i | ||||
\(26\) | 3.10948 | − | 0.329869i | 0.609818 | − | 0.0646926i | ||||
\(27\) | 2.56794 | − | 4.51726i | 0.494201 | − | 0.869348i | ||||
\(28\) | 2.96505 | − | 3.30590i | 0.560343 | − | 0.624757i | ||||
\(29\) | 5.45935 | + | 7.51416i | 1.01378 | + | 1.39534i | 0.916476 | + | 0.400089i | \(0.131021\pi\) |
0.0973003 | + | 0.995255i | \(0.468979\pi\) | |||||||
\(30\) | −2.52744 | − | 4.85922i | −0.461446 | − | 0.887168i | ||||
\(31\) | −2.79198 | + | 3.84283i | −0.501455 | + | 0.690193i | −0.982449 | − | 0.186531i | \(-0.940276\pi\) |
0.480995 | + | 0.876724i | \(0.340276\pi\) | |||||||
\(32\) | −2.85215 | − | 4.88520i | −0.504194 | − | 0.863590i | ||||
\(33\) | −2.06541 | + | 5.14504i | −0.359541 | + | 0.895636i | ||||
\(34\) | −10.5163 | − | 2.22466i | −1.80354 | − | 0.381525i | ||||
\(35\) | 3.40487 | + | 3.61352i | 0.575529 | + | 0.610796i | ||||
\(36\) | 5.10852 | + | 3.14691i | 0.851420 | + | 0.524485i | ||||
\(37\) | 6.83181 | + | 2.21979i | 1.12314 | + | 0.364931i | 0.810966 | − | 0.585093i | \(-0.198942\pi\) |
0.312176 | + | 0.950024i | \(0.398942\pi\) | |||||||
\(38\) | −0.949771 | + | 4.48973i | −0.154073 | + | 0.728331i | ||||
\(39\) | −2.03665 | − | 3.24323i | −0.326126 | − | 0.519332i | ||||
\(40\) | 5.71016 | − | 2.71920i | 0.902856 | − | 0.429943i | ||||
\(41\) | −6.82637 | − | 2.21802i | −1.06610 | − | 0.346397i | −0.277133 | − | 0.960832i | \(-0.589384\pi\) |
−0.788968 | + | 0.614435i | \(0.789384\pi\) | |||||||
\(42\) | −5.23290 | − | 1.48242i | −0.807454 | − | 0.228742i | ||||
\(43\) | 2.43300 | 0.371029 | 0.185514 | − | 0.982642i | \(-0.440605\pi\) | ||||
0.185514 | + | 0.982642i | \(0.440605\pi\) | |||||||
\(44\) | −5.85338 | − | 2.59250i | −0.882430 | − | 0.390834i | ||||
\(45\) | −3.98525 | + | 5.39609i | −0.594086 | + | 0.804402i | ||||
\(46\) | −0.872104 | + | 0.786779i | −0.128585 | + | 0.116004i | ||||
\(47\) | 2.58503 | + | 3.55799i | 0.377066 | + | 0.518987i | 0.954804 | − | 0.297235i | \(-0.0960646\pi\) |
−0.577738 | + | 0.816222i | \(0.696065\pi\) | |||||||
\(48\) | −3.83905 | + | 5.76730i | −0.554119 | + | 0.832437i | ||||
\(49\) | −2.06987 | −0.295695 | ||||||||
\(50\) | 2.49368 | + | 6.61677i | 0.352659 | + | 0.935752i | ||||
\(51\) | 3.21332 | + | 12.7667i | 0.449954 | + | 1.78769i | ||||
\(52\) | 3.82539 | − | 2.21849i | 0.530486 | − | 0.307650i | ||||
\(53\) | 3.58063 | − | 2.60148i | 0.491838 | − | 0.357341i | −0.314053 | − | 0.949406i | \(-0.601687\pi\) |
0.805891 | + | 0.592064i | \(0.201687\pi\) | |||||||
\(54\) | 0.712170 | − | 7.31388i | 0.0969141 | − | 0.995293i | ||||
\(55\) | 3.43747 | − | 6.27795i | 0.463508 | − | 0.846518i | ||||
\(56\) | 1.92330 | − | 5.97846i | 0.257012 | − | 0.798905i | ||||
\(57\) | 5.45047 | − | 1.37186i | 0.721932 | − | 0.181707i | ||||
\(58\) | 11.3818 | + | 6.55658i | 1.49450 | + | 0.860921i | ||||
\(59\) | −3.60315 | + | 11.0894i | −0.469090 | + | 1.44371i | 0.384674 | + | 0.923052i | \(0.374314\pi\) |
−0.853765 | + | 0.520659i | \(0.825686\pi\) | |||||||
\(60\) | −6.06509 | − | 4.81817i | −0.782999 | − | 0.622022i | ||||
\(61\) | −0.275427 | − | 0.847677i | −0.0352648 | − | 0.108534i | 0.931875 | − | 0.362781i | \(-0.118173\pi\) |
−0.967139 | + | 0.254247i | \(0.918173\pi\) | |||||||
\(62\) | −1.39028 | + | 6.57208i | −0.176565 | + | 0.834654i | ||||
\(63\) | 1.18592 | + | 6.55475i | 0.149412 | + | 0.825821i | ||||
\(64\) | −6.49939 | − | 4.66454i | −0.812424 | − | 0.583067i | ||||
\(65\) | 2.11268 | + | 4.46998i | 0.262046 | + | 0.554432i | ||||
\(66\) | 0.298687 | + | 7.83488i | 0.0367659 | + | 0.964407i | ||||
\(67\) | −8.14207 | − | 5.91556i | −0.994713 | − | 0.722701i | −0.0337647 | − | 0.999430i | \(-0.510750\pi\) |
−0.960948 | + | 0.276729i | \(0.910750\pi\) | |||||||
\(68\) | −14.8631 | + | 3.18940i | −1.80242 | + | 0.386772i | ||||
\(69\) | 1.33498 | + | 0.535911i | 0.160713 | + | 0.0645162i | ||||
\(70\) | 6.48009 | + | 2.70366i | 0.774519 | + | 0.323150i | ||||
\(71\) | −10.5298 | + | 7.65032i | −1.24965 | + | 0.907926i | −0.998202 | − | 0.0599440i | \(-0.980908\pi\) |
−0.251451 | + | 0.967870i | \(0.580908\pi\) | |||||||
\(72\) | 8.41117 | + | 1.11900i | 0.991266 | + | 0.131876i | ||||
\(73\) | 2.71078 | − | 0.880786i | 0.317273 | − | 0.103088i | −0.146051 | − | 0.989277i | \(-0.546656\pi\) |
0.463324 | + | 0.886189i | \(0.346656\pi\) | |||||||
\(74\) | 10.1022 | − | 1.07169i | 1.17435 | − | 0.124581i | ||||
\(75\) | 5.93693 | − | 6.30499i | 0.685537 | − | 0.728037i | ||||
\(76\) | 1.36165 | + | 6.34550i | 0.156192 | + | 0.727879i | ||||
\(77\) | −2.19626 | − | 6.75940i | −0.250287 | − | 0.770305i | ||||
\(78\) | −4.49972 | − | 3.01421i | −0.509493 | − | 0.341292i | ||||
\(79\) | 0.510481 | + | 0.702616i | 0.0574335 | + | 0.0790505i | 0.836768 | − | 0.547558i | \(-0.184442\pi\) |
−0.779334 | + | 0.626609i | \(0.784442\pi\) | |||||||
\(80\) | 5.80652 | − | 6.80326i | 0.649189 | − | 0.760627i | ||||
\(81\) | −8.42947 | + | 3.15342i | −0.936608 | + | 0.350380i | ||||
\(82\) | −10.0941 | + | 1.07084i | −1.11471 | + | 0.118254i | ||||
\(83\) | −3.39942 | + | 4.67890i | −0.373135 | + | 0.513576i | −0.953750 | − | 0.300602i | \(-0.902812\pi\) |
0.580615 | + | 0.814178i | \(0.302812\pi\) | |||||||
\(84\) | −7.61228 | + | 1.10221i | −0.830567 | + | 0.120261i | ||||
\(85\) | −2.15874 | − | 16.8581i | −0.234149 | − | 1.82852i | ||||
\(86\) | 3.14195 | − | 1.40254i | 0.338805 | − | 0.151240i | ||||
\(87\) | 1.08644 | − | 16.0506i | 0.116478 | − | 1.72080i | ||||
\(88\) | −9.05348 | + | 0.0263443i | −0.965104 | + | 0.00280831i | ||||
\(89\) | 2.71552 | − | 0.882325i | 0.287844 | − | 0.0935262i | −0.161536 | − | 0.986867i | \(-0.551645\pi\) |
0.449380 | + | 0.893341i | \(0.351645\pi\) | |||||||
\(90\) | −2.03585 | + | 9.26581i | −0.214597 | + | 0.976703i | ||||
\(91\) | 4.66915 | + | 1.51710i | 0.489460 | + | 0.159035i | ||||
\(92\) | −0.672675 | + | 1.51878i | −0.0701312 | + | 0.158343i | ||||
\(93\) | 7.97841 | − | 2.00813i | 0.827322 | − | 0.208233i | ||||
\(94\) | 5.38935 | + | 3.10457i | 0.555869 | + | 0.320212i | ||||
\(95\) | −7.19722 | + | 0.921632i | −0.738419 | + | 0.0945574i | ||||
\(96\) | −1.63306 | + | 9.66091i | −0.166674 | + | 0.986012i | ||||
\(97\) | −4.87651 | − | 6.71194i | −0.495134 | − | 0.681494i | 0.486190 | − | 0.873853i | \(-0.338386\pi\) |
−0.981325 | + | 0.192359i | \(0.938386\pi\) | |||||||
\(98\) | −2.67301 | + | 1.19321i | −0.270014 | + | 0.120532i | ||||
\(99\) | 8.45851 | − | 4.54593i | 0.850113 | − | 0.456883i | ||||
\(100\) | 7.03464 | + | 7.10731i | 0.703464 | + | 0.710731i | ||||
\(101\) | − | 6.67602i | − | 0.664289i | −0.943229 | − | 0.332144i | \(-0.892228\pi\) | ||
0.943229 | − | 0.332144i | \(-0.107772\pi\) | |||||||
\(102\) | 11.5092 | + | 14.6344i | 1.13958 | + | 1.44902i | ||||
\(103\) | 2.29801 | − | 1.66960i | 0.226429 | − | 0.164511i | −0.468787 | − | 0.883311i | \(-0.655309\pi\) |
0.695216 | + | 0.718801i | \(0.255309\pi\) | |||||||
\(104\) | 3.66118 | − | 5.07014i | 0.359008 | − | 0.497169i | ||||
\(105\) | −0.513734 | − | 8.58418i | −0.0501353 | − | 0.837730i | ||||
\(106\) | 3.12433 | − | 5.42364i | 0.303462 | − | 0.526790i | ||||
\(107\) | − | 6.85616i | − | 0.662810i | −0.943489 | − | 0.331405i | \(-0.892477\pi\) | ||
0.943489 | − | 0.331405i | \(-0.107523\pi\) | |||||||
\(108\) | −3.29651 | − | 9.85561i | −0.317207 | − | 0.948356i | ||||
\(109\) | 2.01162 | − | 6.19112i | 0.192678 | − | 0.593002i | −0.807318 | − | 0.590117i | \(-0.799082\pi\) |
0.999996 | − | 0.00288497i | \(-0.000918315\pi\) | |||||||
\(110\) | 0.820095 | − | 10.0889i | 0.0781930 | − | 0.961935i | ||||
\(111\) | −6.61674 | − | 10.5367i | −0.628033 | − | 1.00010i | ||||
\(112\) | −0.962639 | − | 8.82924i | −0.0909608 | − | 0.834285i | ||||
\(113\) | 1.13448 | − | 3.49157i | 0.106723 | − | 0.328460i | −0.883408 | − | 0.468605i | \(-0.844757\pi\) |
0.990131 | + | 0.140145i | \(0.0447569\pi\) | |||||||
\(114\) | 6.24785 | − | 4.91361i | 0.585165 | − | 0.460202i | ||||
\(115\) | −1.62894 | − | 0.891920i | −0.151899 | − | 0.0831720i | ||||
\(116\) | 18.4780 | + | 1.90588i | 1.71564 | + | 0.176957i | ||||
\(117\) | −0.893888 | + | 6.57270i | −0.0826400 | + | 0.607646i | ||||
\(118\) | 1.73956 | + | 16.3978i | 0.160139 | + | 1.50954i | ||||
\(119\) | −13.6535 | − | 9.91981i | −1.25161 | − | 0.909348i | ||||
\(120\) | −10.6099 | − | 2.72582i | −0.968547 | − | 0.248832i | ||||
\(121\) | 0.610186 | − | 0.443326i | 0.0554715 | − | 0.0403024i | ||||
\(122\) | −0.844340 | − | 0.935908i | −0.0764430 | − | 0.0847331i | ||||
\(123\) | 6.61148 | + | 10.5283i | 0.596137 | + | 0.949306i | ||||
\(124\) | 1.99318 | + | 9.28856i | 0.178993 | + | 0.834137i | ||||
\(125\) | −8.57821 | + | 7.17038i | −0.767258 | + | 0.641338i | ||||
\(126\) | 5.31007 | + | 7.78110i | 0.473059 | + | 0.693196i | ||||
\(127\) | 4.32343 | + | 13.3062i | 0.383643 | + | 1.18073i | 0.937460 | + | 0.348093i | \(0.113171\pi\) |
−0.553818 | + | 0.832638i | \(0.686829\pi\) | |||||||
\(128\) | −11.0822 | − | 2.27706i | −0.979537 | − | 0.201266i | ||||
\(129\) | −3.23419 | − | 2.70156i | −0.284755 | − | 0.237859i | ||||
\(130\) | 5.30509 | + | 4.55459i | 0.465287 | + | 0.399464i | ||||
\(131\) | 13.7099 | + | 9.96081i | 1.19784 | + | 0.870280i | 0.994070 | − | 0.108739i | \(-0.0346812\pi\) |
0.203768 | + | 0.979019i | \(0.434681\pi\) | |||||||
\(132\) | 4.90226 | + | 9.94571i | 0.426687 | + | 0.865663i | ||||
\(133\) | −4.23506 | + | 5.82906i | −0.367226 | + | 0.505444i | ||||
\(134\) | −13.9247 | − | 2.94567i | −1.20291 | − | 0.254468i | ||||
\(135\) | 11.2893 | − | 2.74790i | 0.971631 | − | 0.236502i | ||||
\(136\) | −17.3555 | + | 12.6868i | −1.48822 | + | 1.08789i | ||||
\(137\) | 3.22700 | − | 9.93170i | 0.275702 | − | 0.848522i | −0.713331 | − | 0.700827i | \(-0.752815\pi\) |
0.989033 | − | 0.147695i | \(-0.0471855\pi\) | |||||||
\(138\) | 2.03292 | − | 0.0775004i | 0.173053 | − | 0.00659728i | ||||
\(139\) | −5.77680 | + | 1.87699i | −0.489981 | + | 0.159205i | −0.543579 | − | 0.839358i | \(-0.682931\pi\) |
0.0535976 | + | 0.998563i | \(0.482931\pi\) | |||||||
\(140\) | 9.92689 | − | 0.244061i | 0.838975 | − | 0.0206269i | ||||
\(141\) | 0.514435 | − | 7.60003i | 0.0433232 | − | 0.640038i | ||||
\(142\) | −9.18788 | + | 15.9496i | −0.771030 | + | 1.33846i | ||||
\(143\) | − | 7.07741i | − | 0.591843i | ||||||
\(144\) | 11.5072 | − | 3.40368i | 0.958931 | − | 0.283640i | ||||
\(145\) | −3.85702 | + | 20.4073i | −0.320308 | + | 1.69474i | ||||
\(146\) | 2.99293 | − | 2.70011i | 0.247697 | − | 0.223463i | ||||
\(147\) | 2.75148 | + | 2.29834i | 0.226939 | + | 0.189564i | ||||
\(148\) | 12.4280 | − | 7.20751i | 1.02158 | − | 0.592454i | ||||
\(149\) | 16.5387i | 1.35490i | 0.735569 | + | 0.677450i | \(0.236915\pi\) | ||||
−0.735569 | + | 0.677450i | \(0.763085\pi\) | |||||||
\(150\) | 4.03228 | − | 11.5646i | 0.329234 | − | 0.944248i | ||||
\(151\) | − | 17.2944i | − | 1.40740i | −0.710497 | − | 0.703700i | \(-0.751530\pi\) | ||
0.710497 | − | 0.703700i | \(-0.248470\pi\) | |||||||
\(152\) | 5.41638 | + | 7.40958i | 0.439327 | + | 0.600996i | ||||
\(153\) | 9.90441 | − | 20.5388i | 0.800724 | − | 1.66046i | ||||
\(154\) | −6.73279 | − | 7.46295i | −0.542543 | − | 0.601381i | ||||
\(155\) | −10.5353 | + | 1.34909i | −0.846216 | + | 0.108361i | ||||
\(156\) | −7.54848 | − | 1.29859i | −0.604362 | − | 0.103970i | ||||
\(157\) | − | 2.20994i | − | 0.176373i | −0.996104 | − | 0.0881864i | \(-0.971893\pi\) | ||
0.996104 | − | 0.0881864i | \(-0.0281071\pi\) | |||||||
\(158\) | 1.06426 | + | 0.613077i | 0.0846682 | + | 0.0487738i | ||||
\(159\) | −7.64839 | − | 0.517708i | −0.606557 | − | 0.0410569i | ||||
\(160\) | 3.57664 | − | 12.1329i | 0.282758 | − | 0.959191i | ||||
\(161\) | −1.75386 | + | 0.569864i | −0.138224 | + | 0.0449116i | ||||
\(162\) | −9.06789 | + | 8.93159i | −0.712441 | + | 0.701732i | ||||
\(163\) | 4.38456 | − | 13.4943i | 0.343425 | − | 1.05695i | −0.618997 | − | 0.785394i | \(-0.712461\pi\) |
0.962422 | − | 0.271560i | \(-0.0875394\pi\) | |||||||
\(164\) | −12.4181 | + | 7.20178i | −0.969695 | + | 0.562364i | ||||
\(165\) | −11.5404 | + | 4.52840i | −0.898416 | + | 0.352536i | ||||
\(166\) | −1.69275 | + | 8.00193i | −0.131383 | + | 0.621070i | ||||
\(167\) | −5.17083 | + | 7.11704i | −0.400131 | + | 0.550733i | −0.960777 | − | 0.277323i | \(-0.910553\pi\) |
0.560646 | + | 0.828056i | \(0.310553\pi\) | |||||||
\(168\) | −9.19503 | + | 5.81159i | −0.709412 | + | 0.448374i | ||||
\(169\) | −6.56208 | − | 4.76763i | −0.504775 | − | 0.366741i | ||||
\(170\) | −12.5059 | − | 20.5259i | −0.959158 | − | 1.57427i | ||||
\(171\) | −8.76863 | − | 4.22849i | −0.670554 | − | 0.323360i | ||||
\(172\) | 3.24896 | − | 3.62245i | 0.247731 | − | 0.276209i | ||||
\(173\) | 1.42043 | + | 4.37163i | 0.107993 | + | 0.332369i | 0.990421 | − | 0.138079i | \(-0.0440926\pi\) |
−0.882428 | + | 0.470447i | \(0.844093\pi\) | |||||||
\(174\) | −7.84958 | − | 21.3538i | −0.595075 | − | 1.61883i | ||||
\(175\) | −0.659487 | + | 11.0823i | −0.0498525 | + | 0.837747i | ||||
\(176\) | −11.6764 | + | 5.25304i | −0.880140 | + | 0.395963i | ||||
\(177\) | 17.1031 | − | 10.7403i | 1.28555 | − | 0.807288i | ||||
\(178\) | 2.99816 | − | 2.70483i | 0.224722 | − | 0.202735i | ||||
\(179\) | 18.5517 | − | 13.4786i | 1.38662 | − | 1.00744i | 0.390396 | − | 0.920647i | \(-0.372338\pi\) |
0.996226 | − | 0.0867932i | \(-0.0276619\pi\) | |||||||
\(180\) | 2.71235 | + | 13.1394i | 0.202166 | + | 0.979351i | ||||
\(181\) | −3.35957 | − | 2.44087i | −0.249715 | − | 0.181429i | 0.455885 | − | 0.890038i | \(-0.349323\pi\) |
−0.705601 | + | 0.708610i | \(0.749323\pi\) | |||||||
\(182\) | 6.90425 | − | 0.732437i | 0.511777 | − | 0.0542919i | ||||
\(183\) | −0.575119 | + | 1.43265i | −0.0425140 | + | 0.105905i | ||||
\(184\) | 0.00683555 | + | 2.34911i | 0.000503923 | + | 0.173178i | ||||
\(185\) | 6.86375 | + | 14.5222i | 0.504633 | + | 1.06769i | ||||
\(186\) | 9.14562 | − | 7.19255i | 0.670589 | − | 0.527384i | ||||
\(187\) | −7.51813 | + | 23.1384i | −0.549780 | + | 1.69205i | ||||
\(188\) | 8.74943 | + | 0.902445i | 0.638118 | + | 0.0658176i | ||||
\(189\) | 5.70184 | − | 10.0301i | 0.414748 | − | 0.729582i | ||||
\(190\) | −8.76313 | + | 5.33913i | −0.635744 | + | 0.387341i | ||||
\(191\) | 6.31719 | − | 19.4423i | 0.457095 | − | 1.40680i | −0.411562 | − | 0.911382i | \(-0.635017\pi\) |
0.868657 | − | 0.495413i | \(-0.164983\pi\) | |||||||
\(192\) | 3.46026 | + | 13.4174i | 0.249722 | + | 0.968317i | ||||
\(193\) | − | 1.63745i | − | 0.117866i | −0.998262 | − | 0.0589331i | \(-0.981230\pi\) | ||
0.998262 | − | 0.0589331i | \(-0.0187699\pi\) | |||||||
\(194\) | −10.1667 | − | 5.85659i | −0.729924 | − | 0.420479i | ||||
\(195\) | 2.15498 | − | 8.28785i | 0.154321 | − | 0.593505i | ||||
\(196\) | −2.76405 | + | 3.08179i | −0.197432 | + | 0.220128i | ||||
\(197\) | 14.8196 | − | 10.7671i | 1.05585 | − | 0.767123i | 0.0825379 | − | 0.996588i | \(-0.473697\pi\) |
0.973317 | + | 0.229464i | \(0.0736975\pi\) | |||||||
\(198\) | 8.30267 | − | 10.7466i | 0.590045 | − | 0.763728i | ||||
\(199\) | 2.93464i | 0.208031i | 0.994576 | + | 0.104016i | \(0.0331692\pi\) | ||||
−0.994576 | + | 0.104016i | \(0.966831\pi\) | |||||||
\(200\) | 13.1816 | + | 5.12307i | 0.932079 | + | 0.362256i | ||||
\(201\) | 4.25476 | + | 16.9044i | 0.300108 | + | 1.19234i | ||||
\(202\) | −3.84849 | − | 8.62134i | −0.270779 | − | 0.606595i | ||||
\(203\) | 12.1219 | + | 16.6844i | 0.850790 | + | 1.17101i | ||||
\(204\) | 23.2991 | + | 12.2641i | 1.63126 | + | 0.858656i | ||||
\(205\) | −6.85829 | − | 14.5106i | −0.479004 | − | 1.01347i | ||||
\(206\) | 2.00516 | − | 3.48083i | 0.139706 | − | 0.242521i | ||||
\(207\) | −1.17953 | − | 2.19473i | −0.0819831 | − | 0.152544i | ||||
\(208\) | 1.80525 | − | 8.65808i | 0.125172 | − | 0.600330i | ||||
\(209\) | 9.87848 | + | 3.20971i | 0.683309 | + | 0.222021i | ||||
\(210\) | −5.61191 | − | 10.7894i | −0.387259 | − | 0.744537i | ||||
\(211\) | 16.7041 | − | 5.42749i | 1.14996 | − | 0.373644i | 0.328830 | − | 0.944389i | \(-0.393346\pi\) |
0.821127 | + | 0.570745i | \(0.193346\pi\) | |||||||
\(212\) | 0.908187 | − | 8.80510i | 0.0623745 | − | 0.604737i | ||||
\(213\) | 22.4920 | + | 1.52245i | 1.54113 | + | 0.104317i | ||||
\(214\) | −3.95234 | − | 8.85398i | −0.270176 | − | 0.605245i | ||||
\(215\) | 3.73090 | + | 3.95952i | 0.254445 | + | 0.270037i | ||||
\(216\) | −9.93849 | − | 10.8271i | −0.676229 | − | 0.736692i | ||||
\(217\) | −6.19929 | + | 8.53259i | −0.420835 | + | 0.579230i | ||||
\(218\) | −0.971185 | − | 9.15478i | −0.0657769 | − | 0.620040i | ||||
\(219\) | −4.58146 | − | 1.83917i | −0.309587 | − | 0.124280i | ||||
\(220\) | −4.75682 | − | 13.5014i | −0.320705 | − | 0.910265i | ||||
\(221\) | −9.87817 | − | 13.5961i | −0.664478 | − | 0.914575i | ||||
\(222\) | −14.6188 | − | 9.79265i | −0.981151 | − | 0.657240i | ||||
\(223\) | −3.19090 | − | 9.82058i | −0.213678 | − | 0.657635i | −0.999245 | − | 0.0388572i | \(-0.987628\pi\) |
0.785566 | − | 0.618778i | \(-0.212372\pi\) | |||||||
\(224\) | −6.33289 | − | 10.8471i | −0.423134 | − | 0.724750i | ||||
\(225\) | −14.8929 | + | 1.78899i | −0.992862 | + | 0.119266i | ||||
\(226\) | −0.547714 | − | 5.16297i | −0.0364334 | − | 0.343436i | ||||
\(227\) | 11.5150 | − | 3.74144i | 0.764276 | − | 0.248328i | 0.0991631 | − | 0.995071i | \(-0.468383\pi\) |
0.665113 | + | 0.746743i | \(0.268383\pi\) | |||||||
\(228\) | 5.23589 | − | 9.94706i | 0.346755 | − | 0.658760i | ||||
\(229\) | −12.8174 | + | 9.31240i | −0.846999 | + | 0.615381i | −0.924317 | − | 0.381626i | \(-0.875364\pi\) |
0.0773182 | + | 0.997006i | \(0.475364\pi\) | |||||||
\(230\) | −2.61776 | − | 0.212790i | −0.172610 | − | 0.0140310i | ||||
\(231\) | −4.58601 | + | 11.4240i | −0.301737 | + | 0.751643i | ||||
\(232\) | 24.9610 | − | 8.19068i | 1.63877 | − | 0.537745i | ||||
\(233\) | −6.92750 | − | 5.03312i | −0.453836 | − | 0.329731i | 0.337273 | − | 0.941407i | \(-0.390496\pi\) |
−0.791108 | + | 0.611676i | \(0.790496\pi\) | |||||||
\(234\) | 2.63458 | + | 9.00322i | 0.172228 | + | 0.588559i | ||||
\(235\) | −1.82632 | + | 9.66298i | −0.119136 | + | 0.630343i | ||||
\(236\) | 11.6992 | + | 20.1731i | 0.761553 | + | 1.31316i | ||||
\(237\) | 0.101588 | − | 1.50082i | 0.00659886 | − | 0.0974887i | ||||
\(238\) | −23.3504 | − | 4.93960i | −1.51358 | − | 0.320187i | ||||
\(239\) | 5.13357 | + | 15.7995i | 0.332063 | + | 1.02199i | 0.968151 | + | 0.250368i | \(0.0805517\pi\) |
−0.636088 | + | 0.771617i | \(0.719448\pi\) | |||||||
\(240\) | −15.2729 | + | 2.59615i | −0.985858 | + | 0.167580i | ||||
\(241\) | 1.84816 | − | 5.68806i | 0.119051 | − | 0.366400i | −0.873720 | − | 0.486430i | \(-0.838299\pi\) |
0.992770 | + | 0.120030i | \(0.0382990\pi\) | |||||||
\(242\) | 0.532426 | − | 0.924258i | 0.0342256 | − | 0.0594135i | ||||
\(243\) | 14.7068 | + | 5.16807i | 0.943444 | + | 0.331532i | ||||
\(244\) | −1.62989 | − | 0.721889i | −0.104343 | − | 0.0462142i | ||||
\(245\) | −3.17405 | − | 3.36855i | −0.202783 | − | 0.215209i | ||||
\(246\) | 14.6072 | + | 9.78487i | 0.931321 | + | 0.623860i | ||||
\(247\) | −5.80459 | + | 4.21728i | −0.369337 | + | 0.268339i | ||||
\(248\) | 7.92851 | + | 10.8461i | 0.503461 | + | 0.688731i | ||||
\(249\) | 9.71423 | − | 2.44503i | 0.615615 | − | 0.154947i | ||||
\(250\) | −6.94433 | + | 14.2048i | −0.439198 | + | 0.898390i | ||||
\(251\) | −4.04127 | −0.255083 | −0.127541 | − | 0.991833i | \(-0.540709\pi\) | ||||
−0.127541 | + | 0.991833i | \(0.540709\pi\) | |||||||
\(252\) | 11.3429 | + | 6.98737i | 0.714536 | + | 0.440163i | ||||
\(253\) | 1.56261 | + | 2.15075i | 0.0982404 | + | 0.135216i | ||||
\(254\) | 13.2538 | + | 14.6911i | 0.831616 | + | 0.921803i | ||||
\(255\) | −15.8493 | + | 24.8066i | −0.992522 | + | 1.55345i | ||||
\(256\) | −15.6241 | + | 3.44793i | −0.976505 | + | 0.215495i | ||||
\(257\) | −19.6268 | −1.22428 | −0.612142 | − | 0.790748i | \(-0.709692\pi\) | ||||
−0.612142 | + | 0.790748i | \(0.709692\pi\) | |||||||
\(258\) | −5.73396 | − | 1.62436i | −0.356981 | − | 0.101128i | ||||
\(259\) | 15.1693 | + | 4.92880i | 0.942573 | + | 0.306260i | ||||
\(260\) | 9.47650 | + | 2.82356i | 0.587708 | + | 0.175110i | ||||
\(261\) | −19.2665 | + | 20.1297i | −1.19257 | + | 1.24600i | ||||
\(262\) | 23.4469 | + | 4.96002i | 1.44855 | + | 0.306431i | ||||
\(263\) | −25.7298 | − | 8.36013i | −1.58657 | − | 0.515508i | −0.622832 | − | 0.782356i | \(-0.714018\pi\) |
−0.963739 | + | 0.266848i | \(0.914018\pi\) | |||||||
\(264\) | 12.0641 | + | 10.0178i | 0.742493 | + | 0.616553i | ||||
\(265\) | 9.72446 | + | 1.83794i | 0.597369 | + | 0.112904i | ||||
\(266\) | −2.10886 | + | 9.96896i | −0.129303 | + | 0.611236i | ||||
\(267\) | −4.58947 | − | 1.84238i | −0.280871 | − | 0.112752i | ||||
\(268\) | −19.6803 | + | 4.22310i | −1.20217 | + | 0.257967i | ||||
\(269\) | −1.97549 | + | 2.71903i | −0.120448 | + | 0.165782i | −0.864983 | − | 0.501801i | \(-0.832671\pi\) |
0.744535 | + | 0.667583i | \(0.232671\pi\) | |||||||
\(270\) | 12.9949 | − | 10.0565i | 0.790842 | − | 0.612020i | ||||
\(271\) | −9.53068 | − | 13.1179i | −0.578948 | − | 0.796853i | 0.414632 | − | 0.909989i | \(-0.363910\pi\) |
−0.993580 | + | 0.113136i | \(0.963910\pi\) | |||||||
\(272\) | −15.0992 | + | 26.3885i | −0.915523 | + | 1.60004i | ||||
\(273\) | −4.52217 | − | 7.20123i | −0.273694 | − | 0.435838i | ||||
\(274\) | −1.55796 | − | 14.6859i | −0.0941197 | − | 0.887211i | ||||
\(275\) | 15.4881 | − | 4.03275i | 0.933967 | − | 0.243184i | ||||
\(276\) | 2.58061 | − | 1.27199i | 0.155335 | − | 0.0765648i | ||||
\(277\) | −7.57933 | + | 2.46267i | −0.455398 | + | 0.147968i | −0.527729 | − | 0.849413i | \(-0.676956\pi\) |
0.0723308 | + | 0.997381i | \(0.476956\pi\) | |||||||
\(278\) | −6.37807 | + | 5.75405i | −0.382531 | + | 0.345105i | ||||
\(279\) | −12.8355 | − | 6.18966i | −0.768443 | − | 0.370565i | ||||
\(280\) | 12.6788 | − | 6.03768i | 0.757703 | − | 0.360821i | ||||
\(281\) | −0.493286 | + | 0.678950i | −0.0294270 | + | 0.0405027i | −0.823477 | − | 0.567350i | \(-0.807969\pi\) |
0.794050 | + | 0.607852i | \(0.207969\pi\) | |||||||
\(282\) | −3.71682 | − | 10.1112i | −0.221333 | − | 0.602111i | ||||
\(283\) | −13.6738 | − | 9.93457i | −0.812821 | − | 0.590549i | 0.101826 | − | 0.994802i | \(-0.467531\pi\) |
−0.914647 | + | 0.404253i | \(0.867531\pi\) | |||||||
\(284\) | −2.67076 | + | 25.8936i | −0.158480 | + | 1.53650i | ||||
\(285\) | 10.5907 | + | 6.76654i | 0.627337 | + | 0.400815i | ||||
\(286\) | −4.07988 | − | 9.13970i | −0.241249 | − | 0.540442i | ||||
\(287\) | −15.1572 | − | 4.92488i | −0.894702 | − | 0.290706i | ||||
\(288\) | 12.8981 | − | 11.0290i | 0.760030 | − | 0.649888i | ||||
\(289\) | 12.5990 | + | 38.7757i | 0.741116 | + | 2.28092i | ||||
\(290\) | 6.78319 | + | 28.5773i | 0.398323 | + | 1.67811i | ||||
\(291\) | −0.970449 | + | 14.3370i | −0.0568887 | + | 0.840450i | ||||
\(292\) | 2.30852 | − | 5.21222i | 0.135096 | − | 0.305022i | ||||
\(293\) | 15.0280 | 0.877944 | 0.438972 | − | 0.898501i | \(-0.355343\pi\) | ||||
0.438972 | + | 0.898501i | \(0.355343\pi\) | |||||||
\(294\) | 4.87815 | + | 1.38192i | 0.284500 | + | 0.0805953i | ||||
\(295\) | −23.5724 | + | 11.1412i | −1.37244 | + | 0.648666i | ||||
\(296\) | 11.8946 | − | 16.4720i | 0.691357 | − | 0.957417i | ||||
\(297\) | −16.2917 | − | 3.34926i | −0.945338 | − | 0.194344i | ||||
\(298\) | 9.53396 | + | 21.3579i | 0.552288 | + | 1.23723i | ||||
\(299\) | −1.83638 | −0.106200 | ||||||||
\(300\) | −1.45936 | − | 17.2589i | −0.0842562 | − | 0.996444i | ||||
\(301\) | 5.40220 | 0.311378 | ||||||||
\(302\) | −9.96963 | − | 22.3338i | −0.573688 | − | 1.28517i | ||||
\(303\) | −7.41293 | + | 8.87446i | −0.425862 | + | 0.509825i | ||||
\(304\) | 11.2660 | + | 6.44629i | 0.646151 | + | 0.369720i | ||||
\(305\) | 0.957174 | − | 1.74811i | 0.0548076 | − | 0.100097i | ||||
\(306\) | 0.950543 | − | 32.2332i | 0.0543389 | − | 1.84265i | ||||
\(307\) | 1.21153 | 0.0691455 | 0.0345728 | − | 0.999402i | \(-0.488993\pi\) | ||||
0.0345728 | + | 0.999402i | \(0.488993\pi\) | |||||||
\(308\) | −12.9968 | − | 5.75636i | −0.740560 | − | 0.327999i | ||||
\(309\) | −4.90865 | − | 0.332259i | −0.279243 | − | 0.0189015i | ||||
\(310\) | −12.8275 | + | 7.81543i | −0.728552 | + | 0.443887i | ||||
\(311\) | 0.836808 | + | 2.57543i | 0.0474510 | + | 0.146039i | 0.971975 | − | 0.235085i | \(-0.0755369\pi\) |
−0.924524 | + | 0.381124i | \(0.875537\pi\) | |||||||
\(312\) | −10.4966 | + | 2.67446i | −0.594254 | + | 0.151411i | ||||
\(313\) | 21.0317 | + | 6.83360i | 1.18878 | + | 0.386258i | 0.835621 | − | 0.549306i | \(-0.185108\pi\) |
0.353158 | + | 0.935564i | \(0.385108\pi\) | |||||||
\(314\) | −1.27396 | − | 2.85390i | −0.0718935 | − | 0.161055i | ||||
\(315\) | −8.84881 | + | 11.9814i | −0.498574 | + | 0.675077i | ||||
\(316\) | 1.72780 | + | 0.178211i | 0.0971961 | + | 0.0100251i | ||||
\(317\) | −13.7444 | − | 9.98586i | −0.771960 | − | 0.560862i | 0.130595 | − | 0.991436i | \(-0.458311\pi\) |
−0.902555 | + | 0.430574i | \(0.858311\pi\) | |||||||
\(318\) | −10.1755 | + | 3.74047i | −0.570614 | + | 0.209755i | ||||
\(319\) | 17.4749 | − | 24.0521i | 0.978404 | − | 1.34666i | ||||
\(320\) | −2.37537 | − | 17.7301i | −0.132787 | − | 0.991145i | ||||
\(321\) | −7.61296 | + | 9.11393i | −0.424914 | + | 0.508690i | ||||
\(322\) | −1.93641 | + | 1.74696i | −0.107912 | + | 0.0973541i | ||||
\(323\) | 23.4571 | − | 7.62166i | 1.30519 | − | 0.424080i | ||||
\(324\) | −6.56143 | + | 16.7615i | −0.364524 | + | 0.931194i | ||||
\(325\) | −4.03483 | + | 10.2928i | −0.223812 | + | 0.570939i | ||||
\(326\) | −2.11681 | − | 19.9539i | −0.117239 | − | 1.10515i | ||||
\(327\) | −9.54856 | + | 5.99622i | −0.528037 | + | 0.331592i | ||||
\(328\) | −11.8851 | + | 16.4589i | −0.656245 | + | 0.908793i | ||||
\(329\) | 5.73978 | + | 7.90014i | 0.316445 | + | 0.435549i | ||||
\(330\) | −12.2926 | + | 12.5006i | −0.676688 | + | 0.688133i | ||||
\(331\) | 17.4398 | − | 24.0038i | 0.958578 | − | 1.31937i | 0.0109683 | − | 0.999940i | \(-0.496509\pi\) |
0.947610 | − | 0.319430i | \(-0.103491\pi\) | |||||||
\(332\) | 2.42683 | + | 11.3094i | 0.133190 | + | 0.620685i | ||||
\(333\) | −2.90409 | + | 21.3536i | −0.159143 | + | 1.17017i | ||||
\(334\) | −2.57483 | + | 12.1717i | −0.140889 | + | 0.666004i | ||||
\(335\) | −2.85840 | − | 22.3219i | −0.156171 | − | 1.21957i | ||||
\(336\) | −8.52419 | + | 12.8056i | −0.465033 | + | 0.698605i | ||||
\(337\) | 9.22333 | + | 2.99684i | 0.502427 | + | 0.163248i | 0.549255 | − | 0.835655i | \(-0.314911\pi\) |
−0.0468285 | + | 0.998903i | \(0.514911\pi\) | |||||||
\(338\) | −11.2226 | − | 2.37406i | −0.610427 | − | 0.129132i | ||||
\(339\) | −5.38505 | + | 3.38166i | −0.292476 | + | 0.183666i | ||||
\(340\) | −27.9825 | − | 19.2978i | −1.51756 | − | 1.04657i | ||||
\(341\) | 14.4601 | + | 4.69838i | 0.783060 | + | 0.254432i | ||||
\(342\) | −13.7613 | − | 0.405815i | −0.744125 | − | 0.0219440i | ||||
\(343\) | −20.1386 | −1.08738 | ||||||||
\(344\) | 2.10746 | − | 6.55091i | 0.113627 | − | 0.353201i | ||||
\(345\) | 1.17498 | + | 2.99438i | 0.0632590 | + | 0.161212i | ||||
\(346\) | 4.35442 | + | 4.82665i | 0.234095 | + | 0.259482i | ||||
\(347\) | 7.86637 | + | 10.8271i | 0.422289 | + | 0.581230i | 0.966162 | − | 0.257937i | \(-0.0830427\pi\) |
−0.543873 | + | 0.839167i | \(0.683043\pi\) | |||||||
\(348\) | −22.4466 | − | 23.0511i | −1.20327 | − | 1.23567i | ||||
\(349\) | 17.9590 | 0.961324 | 0.480662 | − | 0.876906i | \(-0.340396\pi\) | ||||
0.480662 | + | 0.876906i | \(0.340396\pi\) | |||||||
\(350\) | 5.53693 | + | 14.6918i | 0.295962 | + | 0.785310i | ||||
\(351\) | 8.48646 | − | 7.74457i | 0.452974 | − | 0.413374i | ||||
\(352\) | −12.0506 | + | 13.5147i | −0.642297 | + | 0.720338i | ||||
\(353\) | −19.0805 | + | 13.8628i | −1.01555 | + | 0.737842i | −0.965366 | − | 0.260898i | \(-0.915982\pi\) |
−0.0501863 | + | 0.998740i | \(0.515982\pi\) | |||||||
\(354\) | 15.8954 | − | 23.7292i | 0.844831 | − | 1.26119i | ||||
\(355\) | −28.5973 | − | 5.40494i | −1.51778 | − | 0.286864i | ||||
\(356\) | 2.31256 | − | 5.22132i | 0.122565 | − | 0.276729i | ||||
\(357\) | 7.13482 | + | 28.3470i | 0.377615 | + | 1.50028i | ||||
\(358\) | 16.1876 | − | 28.1006i | 0.855540 | − | 1.48516i | ||||
\(359\) | −3.27037 | + | 10.0652i | −0.172603 | + | 0.531218i | −0.999516 | − | 0.0311121i | \(-0.990095\pi\) |
0.826913 | + | 0.562330i | \(0.190095\pi\) | |||||||
\(360\) | 11.0771 | + | 15.4045i | 0.583814 | + | 0.811888i | ||||
\(361\) | 2.61741 | + | 8.05557i | 0.137759 | + | 0.423977i | ||||
\(362\) | −5.74560 | − | 1.21544i | −0.301982 | − | 0.0638822i | ||||
\(363\) | −1.30338 | − | 0.0882241i | −0.0684099 | − | 0.00463057i | ||||
\(364\) | 8.49385 | − | 4.92592i | 0.445199 | − | 0.258189i | ||||
\(365\) | 5.59028 | + | 3.06094i | 0.292609 | + | 0.160217i | ||||
\(366\) | 0.0831704 | + | 2.18165i | 0.00434739 | + | 0.114037i | ||||
\(367\) | 23.3165 | + | 16.9404i | 1.21711 | + | 0.884284i | 0.995857 | − | 0.0909323i | \(-0.0289847\pi\) |
0.221255 | + | 0.975216i | \(0.428985\pi\) | |||||||
\(368\) | 1.36301 | + | 3.02967i | 0.0710516 | + | 0.157933i | ||||
\(369\) | 2.90178 | − | 21.3366i | 0.151061 | − | 1.11074i | ||||
\(370\) | 17.2353 | + | 14.7971i | 0.896022 | + | 0.769264i | ||||
\(371\) | 7.95040 | − | 5.77631i | 0.412764 | − | 0.299891i | ||||
\(372\) | 7.66430 | − | 14.5605i | 0.397375 | − | 0.754928i | ||||
\(373\) | −30.5562 | + | 9.92832i | −1.58214 | + | 0.514069i | −0.962607 | − | 0.270901i | \(-0.912679\pi\) |
−0.619534 | + | 0.784970i | \(0.712679\pi\) | |||||||
\(374\) | 3.62967 | + | 34.2147i | 0.187686 | + | 1.76920i | ||||
\(375\) | 19.3649 | − | 0.00653677i | 1.00000 | − | 0.000337558i | ||||
\(376\) | 11.8192 | − | 3.87833i | 0.609526 | − | 0.200010i | ||||
\(377\) | 6.34611 | + | 19.5313i | 0.326841 | + | 1.00591i | ||||
\(378\) | 1.58130 | − | 16.2397i | 0.0813331 | − | 0.835278i | ||||
\(379\) | 18.2870 | + | 25.1699i | 0.939341 | + | 1.29289i | 0.956102 | + | 0.293032i | \(0.0946644\pi\) |
−0.0167615 | + | 0.999860i | \(0.505336\pi\) | |||||||
\(380\) | −8.23879 | + | 11.9465i | −0.422641 | + | 0.612845i | ||||
\(381\) | 9.02776 | − | 22.4886i | 0.462506 | − | 1.15213i | ||||
\(382\) | −3.04986 | − | 28.7492i | −0.156044 | − | 1.47094i | ||||
\(383\) | 1.71204 | − | 2.35642i | 0.0874812 | − | 0.120408i | −0.763033 | − | 0.646359i | \(-0.776291\pi\) |
0.850514 | + | 0.525952i | \(0.176291\pi\) | |||||||
\(384\) | 12.2032 | + | 15.3324i | 0.622742 | + | 0.782427i | ||||
\(385\) | 7.63253 | − | 13.9395i | 0.388990 | − | 0.710423i | ||||
\(386\) | −0.943933 | − | 2.11459i | −0.0480449 | − | 0.107630i | ||||
\(387\) | 1.29947 | + | 7.18238i | 0.0660558 | + | 0.365101i | ||||
\(388\) | −16.5053 | − | 1.70241i | −0.837927 | − | 0.0864266i | ||||
\(389\) | −22.1585 | + | 7.19974i | −1.12348 | + | 0.365041i | −0.811096 | − | 0.584914i | \(-0.801128\pi\) |
−0.312386 | + | 0.949955i | \(0.601128\pi\) | |||||||
\(390\) | −1.99474 | − | 11.9451i | −0.101007 | − | 0.604865i | ||||
\(391\) | 6.00373 | + | 1.95073i | 0.303622 | + | 0.0986527i | ||||
\(392\) | −1.79292 | + | 5.57317i | −0.0905562 | + | 0.281488i | ||||
\(393\) | −7.16431 | − | 28.4642i | −0.361391 | − | 1.43583i | ||||
\(394\) | 12.9311 | − | 22.4475i | 0.651458 | − | 1.13089i | ||||
\(395\) | −0.360654 | + | 1.90820i | −0.0181465 | + | 0.0960120i | ||||
\(396\) | 4.52694 | − | 18.6643i | 0.227487 | − | 0.937914i | ||||
\(397\) | 0.146297 | + | 0.201360i | 0.00734242 | + | 0.0101060i | 0.812672 | − | 0.582721i | \(-0.198012\pi\) |
−0.805330 | + | 0.592827i | \(0.798012\pi\) | |||||||
\(398\) | 1.69172 | + | 3.78976i | 0.0847982 | + | 0.189964i | ||||
\(399\) | 12.1022 | − | 3.04606i | 0.605866 | − | 0.152494i | ||||
\(400\) | 19.9758 | − | 0.982839i | 0.998792 | − | 0.0491419i | ||||
\(401\) | − | 17.4083i | − | 0.869330i | −0.900592 | − | 0.434665i | \(-0.856867\pi\) | ||
0.900592 | − | 0.434665i | \(-0.143133\pi\) | |||||||
\(402\) | 15.2394 | + | 19.3774i | 0.760070 | + | 0.966459i | ||||
\(403\) | −8.49677 | + | 6.17326i | −0.423254 | + | 0.307512i | ||||
\(404\) | −9.93981 | − | 8.91499i | −0.494524 | − | 0.443537i | ||||
\(405\) | −18.0582 | − | 8.88267i | −0.897318 | − | 0.441384i | ||||
\(406\) | 25.2721 | + | 14.5582i | 1.25423 | + | 0.722509i | ||||
\(407\) | − | 22.9933i | − | 1.13974i | ||||||
\(408\) | 37.1580 | + | 2.40657i | 1.83959 | + | 0.119143i | ||||
\(409\) | 8.89595 | − | 27.3789i | 0.439876 | − | 1.35380i | −0.448130 | − | 0.893969i | \(-0.647910\pi\) |
0.888006 | − | 0.459832i | \(-0.152090\pi\) | |||||||
\(410\) | −17.2216 | − | 14.7853i | −0.850515 | − | 0.730196i | ||||
\(411\) | −15.3177 | + | 9.61905i | −0.755564 | + | 0.474473i | ||||
\(412\) | 0.582863 | − | 5.65101i | 0.0287156 | − | 0.278405i | ||||
\(413\) | −8.00040 | + | 24.6227i | −0.393674 | + | 1.21160i | ||||
\(414\) | −2.78842 | − | 2.15429i | −0.137043 | − | 0.105878i | ||||
\(415\) | −12.8274 | + | 1.64260i | −0.629673 | + | 0.0806321i | ||||
\(416\) | −2.65980 | − | 12.2216i | −0.130407 | − | 0.599214i | ||||
\(417\) | 9.76330 | + | 3.91935i | 0.478111 | + | 0.191932i | ||||
\(418\) | 14.6073 | − | 1.54961i | 0.714464 | − | 0.0757940i | ||||
\(419\) | −24.6316 | − | 17.8959i | −1.20333 | − | 0.874274i | −0.208726 | − | 0.977974i | \(-0.566932\pi\) |
−0.994609 | + | 0.103700i | \(0.966932\pi\) | |||||||
\(420\) | −13.4669 | − | 10.6982i | −0.657116 | − | 0.522019i | ||||
\(421\) | 5.26715 | − | 3.82681i | 0.256705 | − | 0.186507i | −0.451988 | − | 0.892024i | \(-0.649285\pi\) |
0.708693 | + | 0.705517i | \(0.249285\pi\) | |||||||
\(422\) | 18.4427 | − | 16.6383i | 0.897778 | − | 0.809941i | ||||
\(423\) | −9.12278 | + | 9.53154i | −0.443565 | + | 0.463440i | ||||
\(424\) | −3.90301 | − | 11.8944i | −0.189547 | − | 0.577641i | ||||
\(425\) | 24.1249 | − | 29.3644i | 1.17023 | − | 1.42438i | ||||
\(426\) | 29.9236 | − | 10.9998i | 1.44981 | − | 0.532942i | ||||
\(427\) | −0.611556 | − | 1.88217i | −0.0295952 | − | 0.0910848i | ||||
\(428\) | −10.2080 | − | 9.15555i | −0.493423 | − | 0.442550i | ||||
\(429\) | −7.85863 | + | 9.40804i | −0.379418 | + | 0.454224i | ||||
\(430\) | 7.10057 | + | 2.96255i | 0.342420 | + | 0.142867i | ||||
\(431\) | 11.8184 | + | 8.58660i | 0.569274 | + | 0.413602i | 0.834842 | − | 0.550490i | \(-0.185559\pi\) |
−0.265567 | + | 0.964092i | \(0.585559\pi\) | |||||||
\(432\) | −19.0759 | − | 8.25282i | −0.917791 | − | 0.397064i | ||||
\(433\) | −1.60425 | + | 2.20806i | −0.0770954 | + | 0.106113i | −0.845823 | − | 0.533464i | \(-0.820890\pi\) |
0.768728 | + | 0.639576i | \(0.220890\pi\) | |||||||
\(434\) | −3.08696 | + | 14.5926i | −0.148179 | + | 0.700466i | ||||
\(435\) | 27.7871 | − | 22.8448i | 1.33229 | − | 1.09532i | ||||
\(436\) | −6.53159 | − | 11.2625i | −0.312806 | − | 0.539377i | ||||
\(437\) | 0.832824 | − | 2.56317i | 0.0398394 | − | 0.122613i | ||||
\(438\) | −6.97667 | + | 0.265970i | −0.333358 | + | 0.0127085i | ||||
\(439\) | 35.1235 | − | 11.4123i | 1.67635 | − | 0.544680i | 0.692154 | − | 0.721750i | \(-0.256662\pi\) |
0.984198 | + | 0.177070i | \(0.0566619\pi\) | |||||||
\(440\) | −13.9260 | − | 14.6934i | −0.663896 | − | 0.700482i | ||||
\(441\) | −1.10552 | − | 6.11040i | −0.0526439 | − | 0.290971i | ||||
\(442\) | −20.5943 | − | 11.8635i | −0.979569 | − | 0.564289i | ||||
\(443\) | − | 25.9558i | − | 1.23320i | −0.787277 | − | 0.616599i | \(-0.788510\pi\) | ||
0.787277 | − | 0.616599i | \(-0.211490\pi\) | |||||||
\(444\) | −24.5237 | − | 4.21889i | −1.16384 | − | 0.200220i | ||||
\(445\) | 5.60005 | + | 3.06629i | 0.265468 | + | 0.145356i | ||||
\(446\) | −9.78192 | − | 10.8428i | −0.463187 | − | 0.513419i | ||||
\(447\) | 18.3642 | − | 21.9849i | 0.868598 | − | 1.03985i | ||||
\(448\) | −14.4312 | − | 10.3571i | −0.681809 | − | 0.489327i | ||||
\(449\) | − | 7.55456i | − | 0.356522i | −0.983983 | − | 0.178261i | \(-0.942953\pi\) | ||
0.983983 | − | 0.178261i | \(-0.0570471\pi\) | |||||||
\(450\) | −18.2013 | + | 10.8955i | −0.858017 | + | 0.513621i | ||||
\(451\) | 22.9750i | 1.08185i | ||||||||
\(452\) | −3.68359 | − | 6.35167i | −0.173261 | − | 0.298757i | ||||
\(453\) | −19.2034 | + | 22.9896i | −0.902255 | + | 1.08014i | ||||
\(454\) | 12.7135 | − | 11.4696i | 0.596675 | − | 0.538297i | ||||
\(455\) | 4.69098 | + | 9.92509i | 0.219917 | + | 0.465296i | ||||
\(456\) | 1.02744 | − | 15.8638i | 0.0481141 | − | 0.742892i | ||||
\(457\) | − | 16.6963i | − | 0.781018i | −0.920599 | − | 0.390509i | \(-0.872299\pi\) | ||
0.920599 | − | 0.390509i | \(-0.127701\pi\) | |||||||
\(458\) | −11.1840 | + | 19.4147i | −0.522594 | + | 0.907191i | ||||
\(459\) | −35.9719 | + | 16.3047i | −1.67903 | + | 0.761036i | ||||
\(460\) | −3.50321 | + | 1.23425i | −0.163338 | + | 0.0575473i | ||||
\(461\) | 17.8198 | − | 5.78999i | 0.829949 | − | 0.269667i | 0.136925 | − | 0.990581i | \(-0.456278\pi\) |
0.693024 | + | 0.720915i | \(0.256278\pi\) | |||||||
\(462\) | 0.663203 | + | 17.3965i | 0.0308550 | + | 0.809358i | ||||
\(463\) | −2.49936 | + | 7.69225i | −0.116155 | + | 0.357489i | −0.992186 | − | 0.124766i | \(-0.960182\pi\) |
0.876031 | + | 0.482255i | \(0.160182\pi\) | |||||||
\(464\) | 27.5127 | − | 24.9665i | 1.27724 | − | 1.15904i | ||||
\(465\) | 15.5026 | + | 9.90486i | 0.718917 | + | 0.459327i | ||||
\(466\) | −11.8475 | − | 2.50626i | −0.548826 | − | 0.116100i | ||||
\(467\) | −6.50921 | + | 8.95915i | −0.301210 | + | 0.414580i | −0.932615 | − | 0.360873i | \(-0.882479\pi\) |
0.631405 | + | 0.775453i | \(0.282479\pi\) | |||||||
\(468\) | 8.59231 | + | 10.1079i | 0.397180 | + | 0.467239i | ||||
\(469\) | −18.0786 | − | 13.1349i | −0.834791 | − | 0.606511i | ||||
\(470\) | 3.21188 | + | 13.5315i | 0.148153 | + | 0.624161i | ||||
\(471\) | −2.45388 | + | 2.93769i | −0.113069 | + | 0.135362i | ||||
\(472\) | 26.7373 | + | 19.3072i | 1.23069 | + | 0.888685i | ||||
\(473\) | −2.40656 | − | 7.40662i | −0.110654 | − | 0.340557i | ||||
\(474\) | −0.733980 | − | 1.99671i | −0.0337128 | − | 0.0917117i | ||||
\(475\) | −12.5365 | − | 10.2996i | −0.575215 | − | 0.472580i | ||||
\(476\) | −33.0019 | + | 7.08172i | −1.51264 | + | 0.324590i | ||||
\(477\) | 9.59219 | + | 9.18083i | 0.439196 | + | 0.420361i | ||||
\(478\) | 15.7373 | + | 17.4440i | 0.719808 | + | 0.797870i | ||||
\(479\) | 13.6976 | − | 9.95186i | 0.625858 | − | 0.454712i | −0.229105 | − | 0.973402i | \(-0.573580\pi\) |
0.854963 | + | 0.518690i | \(0.173580\pi\) | |||||||
\(480\) | −18.2266 | + | 12.1569i | −0.831928 | + | 0.554884i | ||||
\(481\) | 12.8496 | + | 9.33577i | 0.585891 | + | 0.425675i | ||||
\(482\) | −0.892271 | − | 8.41090i | −0.0406418 | − | 0.383106i | ||||
\(483\) | 2.96418 | + | 1.18993i | 0.134875 | + | 0.0541438i | ||||
\(484\) | 0.154767 | − | 1.50050i | 0.00703485 | − | 0.0682046i | ||||
\(485\) | 3.44524 | − | 18.2286i | 0.156440 | − | 0.827719i | ||||
\(486\) | 21.9715 | − | 1.80399i | 0.996646 | − | 0.0818305i | ||||
\(487\) | 6.35483 | − | 19.5581i | 0.287965 | − | 0.886264i | −0.697530 | − | 0.716556i | \(-0.745717\pi\) |
0.985494 | − | 0.169708i | \(-0.0542826\pi\) | |||||||
\(488\) | −2.52097 | + | 0.00733564i | −0.114119 | + | 0.000332069i | ||||
\(489\) | −20.8122 | + | 13.0695i | −0.941161 | + | 0.591022i | ||||
\(490\) | −6.04079 | − | 2.52038i | −0.272895 | − | 0.113859i | ||||
\(491\) | 1.93856 | − | 5.96628i | 0.0874861 | − | 0.269255i | −0.897737 | − | 0.440533i | \(-0.854790\pi\) |
0.985223 | + | 0.171278i | \(0.0547896\pi\) | |||||||
\(492\) | 24.5042 | + | 4.21553i | 1.10474 | + | 0.190051i | ||||
\(493\) | − | 70.5957i | − | 3.17947i | ||||||
\(494\) | −5.06487 | + | 8.79230i | −0.227879 | + | 0.395584i | ||||
\(495\) | 20.3689 | + | 6.79459i | 0.915515 | + | 0.305394i | ||||
\(496\) | 16.4912 | + | 9.43609i | 0.740478 | + | 0.423693i | ||||
\(497\) | −23.3802 | + | 16.9867i | −1.04874 | + | 0.761958i | ||||
\(498\) | 11.1354 | − | 8.75741i | 0.498989 | − | 0.392429i | ||||
\(499\) | 40.8446i | 1.82845i | 0.405203 | + | 0.914227i | \(0.367201\pi\) | ||||
−0.405203 | + | 0.914227i | \(0.632799\pi\) | |||||||
\(500\) | −0.779267 | + | 22.3471i | −0.0348499 | + | 0.999393i | ||||
\(501\) | 14.7762 | − | 3.71912i | 0.660154 | − | 0.166158i | ||||
\(502\) | −5.21886 | + | 2.32965i | −0.232929 | + | 0.103978i | ||||
\(503\) | −4.94087 | − | 6.80053i | −0.220303 | − | 0.303221i | 0.684533 | − | 0.728982i | \(-0.260006\pi\) |
−0.904835 | + | 0.425762i | \(0.860006\pi\) | |||||||
\(504\) | 18.6761 | + | 2.48462i | 0.831899 | + | 0.110674i | ||||
\(505\) | 10.8647 | − | 10.2374i | 0.483473 | − | 0.455558i | ||||
\(506\) | 3.25777 | + | 1.87666i | 0.144825 | + | 0.0834278i | ||||
\(507\) | 3.42911 | + | 13.6240i | 0.152292 | + | 0.605065i | ||||
\(508\) | 25.5847 | + | 11.3316i | 1.13514 | + | 0.502760i | ||||
\(509\) | −10.3227 | − | 3.35404i | −0.457545 | − | 0.148665i | 0.0711712 | − | 0.997464i | \(-0.477326\pi\) |
−0.528716 | + | 0.848799i | \(0.677326\pi\) | |||||||
\(510\) | −6.16749 | + | 41.1715i | −0.273101 | + | 1.82311i | ||||
\(511\) | 6.01899 | − | 1.95569i | 0.266265 | − | 0.0865146i | ||||
\(512\) | −18.1892 | + | 13.4594i | −0.803855 | + | 0.594825i | ||||
\(513\) | 6.96094 | + | 15.3575i | 0.307333 | + | 0.678049i | ||||
\(514\) | −25.3458 | + | 11.3141i | −1.11795 | + | 0.499045i | ||||
\(515\) | 6.24104 | + | 1.17957i | 0.275013 | + | 0.0519780i | ||||
\(516\) | −8.34117 | + | 1.20775i | −0.367199 | + | 0.0531680i | ||||
\(517\) | 8.27444 | − | 11.3888i | 0.363909 | − | 0.500878i | ||||
\(518\) | 22.4307 | − | 2.37956i | 0.985550 | − | 0.104552i | ||||
\(519\) | 2.96599 | − | 7.38844i | 0.130193 | − | 0.324317i | ||||
\(520\) | 13.8655 | − | 1.81656i | 0.608044 | − | 0.0796614i | ||||
\(521\) | 22.1598 | + | 30.5003i | 0.970838 | + | 1.33624i | 0.941623 | + | 0.336670i | \(0.109301\pi\) |
0.0292153 | + | 0.999573i | \(0.490699\pi\) | |||||||
\(522\) | −13.2764 | + | 37.1018i | −0.581094 | + | 1.62390i | ||||
\(523\) | −8.70530 | − | 26.7921i | −0.380656 | − | 1.17154i | −0.939583 | − | 0.342322i | \(-0.888787\pi\) |
0.558927 | − | 0.829217i | \(-0.311213\pi\) | |||||||
\(524\) | 33.1383 | − | 7.11099i | 1.44765 | − | 0.310645i | ||||
\(525\) | 13.1823 | − | 13.9995i | 0.575323 | − | 0.610990i | ||||
\(526\) | −38.0466 | + | 4.03617i | −1.65891 | + | 0.175985i | ||||
\(527\) | 34.3365 | − | 11.1566i | 1.49572 | − | 0.485989i | ||||
\(528\) | 21.3544 | + | 5.98236i | 0.929329 | + | 0.260349i | ||||
\(529\) | −18.0493 | + | 13.1136i | −0.784754 | + | 0.570157i | ||||
\(530\) | 13.6176 | − | 3.23232i | 0.591510 | − | 0.140403i | ||||
\(531\) | −34.6610 | − | 4.71390i | −1.50416 | − | 0.204566i | ||||
\(532\) | 3.02339 | + | 14.0895i | 0.131081 | + | 0.610857i | ||||
\(533\) | −12.8394 | − | 9.32835i | −0.556135 | − | 0.404056i | ||||
\(534\) | −6.98886 | + | 0.266435i | −0.302438 | + | 0.0115298i | ||||
\(535\) | 11.1579 | − | 10.5136i | 0.482397 | − | 0.454544i | ||||
\(536\) | −22.9805 | + | 16.7987i | −0.992606 | + | 0.725593i | ||||
\(537\) | −39.6274 | − | 2.68232i | −1.71005 | − | 0.115750i | ||||
\(538\) | −0.983703 | + | 4.65013i | −0.0424105 | + | 0.200482i | ||||
\(539\) | 2.04737 | + | 6.30117i | 0.0881866 | + | 0.271411i | ||||
\(540\) | 10.9842 | − | 20.4780i | 0.472684 | − | 0.881232i | ||||
\(541\) | −7.33516 | + | 22.5753i | −0.315363 | + | 0.970589i | 0.660241 | + | 0.751054i | \(0.270454\pi\) |
−0.975605 | + | 0.219535i | \(0.929546\pi\) | |||||||
\(542\) | −19.8698 | − | 11.4462i | −0.853482 | − | 0.491655i | ||||
\(543\) | 1.75560 | + | 6.97508i | 0.0753398 | + | 0.299329i | ||||
\(544\) | −4.28690 | + | 42.7820i | −0.183799 | + | 1.83426i | ||||
\(545\) | 13.1603 | − | 6.22007i | 0.563725 | − | 0.266438i | ||||
\(546\) | −9.99114 | − | 6.69272i | −0.427581 | − | 0.286422i | ||||
\(547\) | −17.8819 | + | 12.9919i | −0.764573 | + | 0.555495i | −0.900310 | − | 0.435250i | \(-0.856660\pi\) |
0.135736 | + | 0.990745i | \(0.456660\pi\) | |||||||
\(548\) | −10.4779 | − | 18.0672i | −0.447593 | − | 0.771792i | ||||
\(549\) | 2.35530 | − | 1.26583i | 0.100522 | − | 0.0540242i | ||||
\(550\) | 17.6764 | − | 14.1362i | 0.753726 | − | 0.602770i | ||||
\(551\) | −30.1394 | −1.28398 | ||||||||
\(552\) | 2.59932 | − | 3.13027i | 0.110634 | − | 0.133233i | ||||
\(553\) | 1.13347 | + | 1.56008i | 0.0481999 | + | 0.0663414i | ||||
\(554\) | −8.36823 | + | 7.54949i | −0.355532 | + | 0.320747i | ||||
\(555\) | 7.00117 | − | 26.9258i | 0.297183 | − | 1.14294i | ||||
\(556\) | −4.91957 | + | 11.1075i | −0.208636 | + | 0.471061i | ||||
\(557\) | 21.1546 | 0.896349 | 0.448174 | − | 0.893946i | \(-0.352074\pi\) | ||||
0.448174 | + | 0.893946i | \(0.352074\pi\) | |||||||
\(558\) | −20.1438 | − | 0.594033i | −0.852755 | − | 0.0251474i | ||||
\(559\) | 5.11623 | + | 1.66236i | 0.216394 | + | 0.0703105i | ||||
\(560\) | 12.8927 | − | 15.1059i | 0.544818 | − | 0.638340i | ||||
\(561\) | 35.6864 | − | 22.4100i | 1.50668 | − | 0.946153i | ||||
\(562\) | −0.245633 | + | 1.16115i | −0.0103614 | + | 0.0489802i | ||||
\(563\) | 7.52078 | + | 2.44365i | 0.316963 | + | 0.102988i | 0.463178 | − | 0.886265i | \(-0.346709\pi\) |
−0.146215 | + | 0.989253i | \(0.546709\pi\) | |||||||
\(564\) | −10.6286 | − | 10.9148i | −0.447545 | − | 0.459597i | ||||
\(565\) | 7.42195 | − | 3.50790i | 0.312244 | − | 0.147578i | ||||
\(566\) | −23.3851 | − | 4.94695i | −0.982949 | − | 0.207936i | ||||
\(567\) | −18.7167 | + | 7.00183i | −0.786028 | + | 0.294049i | ||||
\(568\) | 11.4778 | + | 34.9784i | 0.481598 | + | 1.46766i | ||||
\(569\) | 18.7928 | − | 25.8661i | 0.787837 | − | 1.08436i | −0.206537 | − | 0.978439i | \(-0.566219\pi\) |
0.994374 | − | 0.105925i | \(-0.0337805\pi\) | |||||||
\(570\) | 17.5773 | + | 2.63308i | 0.736234 | + | 0.110288i | ||||
\(571\) | 15.2801 | + | 21.0313i | 0.639453 | + | 0.880132i | 0.998586 | − | 0.0531546i | \(-0.0169276\pi\) |
−0.359133 | + | 0.933286i | \(0.616928\pi\) | |||||||
\(572\) | −10.5374 | − | 9.45100i | −0.440593 | − | 0.395166i | ||||
\(573\) | −29.9858 | + | 18.8303i | −1.25268 | + | 0.786645i | ||||
\(574\) | −22.4129 | + | 2.37767i | −0.935496 | + | 0.0992421i | ||||
\(575\) | −1.04638 | − | 4.01870i | −0.0436370 | − | 0.167591i | ||||
\(576\) | 10.2987 | − | 21.6780i | 0.429113 | − | 0.903251i | ||||
\(577\) | −20.7615 | + | 6.74582i | −0.864312 | + | 0.280832i | −0.707428 | − | 0.706785i | \(-0.750145\pi\) |
−0.156884 | + | 0.987617i | \(0.550145\pi\) | |||||||
\(578\) | 38.6230 | + | 42.8116i | 1.60651 | + | 1.78073i | ||||
\(579\) | −1.81819 | + | 2.17667i | −0.0755616 | + | 0.0904593i | ||||
\(580\) | 25.2335 | + | 32.9941i | 1.04777 | + | 1.37001i | ||||
\(581\) | −7.54804 | + | 10.3890i | −0.313145 | + | 0.431008i | ||||
\(582\) | 7.01155 | + | 19.0741i | 0.290638 | + | 0.790646i | ||||
\(583\) | −11.4613 | − | 8.32709i | −0.474677 | − | 0.344873i | ||||
\(584\) | −0.0234586 | − | 8.06179i | −0.000970724 | − | 0.333599i | ||||
\(585\) | −12.0673 | + | 8.62423i | −0.498922 | + | 0.356568i | ||||
\(586\) | 19.4070 | − | 8.66311i | 0.801695 | − | 0.357870i | ||||
\(587\) | −29.9981 | − | 9.74698i | −1.23816 | − | 0.402301i | −0.384493 | − | 0.923128i | \(-0.625624\pi\) |
−0.853662 | + | 0.520827i | \(0.825624\pi\) | |||||||
\(588\) | 7.09623 | − | 1.02749i | 0.292644 | − | 0.0423728i | ||||
\(589\) | −4.76308 | − | 14.6593i | −0.196259 | − | 0.604024i | ||||
\(590\) | −24.0186 | + | 27.9763i | −0.988830 | + | 1.15177i | ||||
\(591\) | −31.6554 | − | 2.14271i | −1.30213 | − | 0.0881391i | ||||
\(592\) | 5.86495 | − | 28.1286i | 0.241048 | − | 1.15608i | ||||
\(593\) | −8.20475 | −0.336929 | −0.168464 | − | 0.985708i | \(-0.553881\pi\) | ||||
−0.168464 | + | 0.985708i | \(0.553881\pi\) | |||||||
\(594\) | −22.9696 | + | 5.06638i | −0.942455 | + | 0.207876i | ||||
\(595\) | −4.79326 | − | 37.4316i | −0.196504 | − | 1.53454i | ||||
\(596\) | 24.6241 | + | 22.0853i | 1.00864 | + | 0.904650i | ||||
\(597\) | 3.25857 | − | 3.90103i | 0.133364 | − | 0.159659i | ||||
\(598\) | −2.37148 | + | 1.05861i | −0.0969769 | + | 0.0432897i | ||||
\(599\) | 10.2164 | 0.417433 | 0.208716 | − | 0.977976i | \(-0.433071\pi\) | ||||
0.208716 | + | 0.977976i | \(0.433071\pi\) | |||||||
\(600\) | −11.8338 | − | 21.4467i | −0.483112 | − | 0.875559i | ||||
\(601\) | −32.0029 | −1.30543 | −0.652714 | − | 0.757605i | \(-0.726369\pi\) | ||||
−0.652714 | + | 0.757605i | \(0.726369\pi\) | |||||||
\(602\) | 6.97635 | − | 3.11418i | 0.284335 | − | 0.126925i | ||||
\(603\) | 13.1145 | − | 27.1955i | 0.534062 | − | 1.10749i | ||||
\(604\) | −25.7494 | − | 23.0945i | −1.04773 | − | 0.939704i | ||||
\(605\) | 1.65717 | + | 0.313209i | 0.0673737 | + | 0.0127338i | ||||
\(606\) | −4.45716 | + | 15.7337i | −0.181060 | + | 0.639137i | ||||
\(607\) | 3.71162 | 0.150650 | 0.0753250 | − | 0.997159i | \(-0.476001\pi\) | ||||
0.0753250 | + | 0.997159i | \(0.476001\pi\) | |||||||
\(608\) | 18.2649 | + | 1.83020i | 0.740739 | + | 0.0742246i | ||||
\(609\) | 2.41232 | − | 35.6385i | 0.0977521 | − | 1.44415i | ||||
\(610\) | 0.228358 | − | 2.80927i | 0.00924594 | − | 0.113744i | ||||
\(611\) | 3.00492 | + | 9.24818i | 0.121566 | + | 0.374141i | ||||
\(612\) | −17.3538 | − | 42.1735i | −0.701485 | − | 1.70476i | ||||
\(613\) | 36.8735 | + | 11.9809i | 1.48931 | + | 0.483905i | 0.936879 | − | 0.349654i | \(-0.113701\pi\) |
0.552429 | + | 0.833560i | \(0.313701\pi\) | |||||||
\(614\) | 1.56455 | − | 0.698404i | 0.0631403 | − | 0.0281853i | ||||
\(615\) | −6.99560 | + | 26.9044i | −0.282090 | + | 1.08489i | ||||
\(616\) | −20.1023 | + | 0.0584946i | −0.809943 | + | 0.00235681i | ||||
\(617\) | 17.6832 | + | 12.8476i | 0.711899 | + | 0.517225i | 0.883786 | − | 0.467892i | \(-0.154986\pi\) |
−0.171887 | + | 0.985117i | \(0.554986\pi\) | |||||||
\(618\) | −6.53051 | + | 2.40059i | −0.262696 | + | 0.0965658i | ||||
\(619\) | −1.44134 | + | 1.98384i | −0.0579325 | + | 0.0797372i | −0.837000 | − | 0.547202i | \(-0.815693\pi\) |
0.779068 | + | 0.626940i | \(0.215693\pi\) | |||||||
\(620\) | −12.0600 | + | 17.4874i | −0.484339 | + | 0.702310i | ||||
\(621\) | −0.869032 | + | 4.22720i | −0.0348730 | + | 0.169632i | ||||
\(622\) | 2.56529 | + | 2.84349i | 0.102859 | + | 0.114014i | ||||
\(623\) | 6.02951 | − | 1.95911i | 0.241567 | − | 0.0784899i | ||||
\(624\) | −12.0135 | + | 9.50471i | −0.480925 | + | 0.380493i | ||||
\(625\) | −24.8236 | − | 2.96490i | −0.992943 | − | 0.118596i | ||||
\(626\) | 31.0994 | − | 3.29918i | 1.24298 | − | 0.131862i | ||||
\(627\) | −9.56751 | − | 15.2356i | −0.382089 | − | 0.608450i | ||||
\(628\) | −3.29035 | − | 2.95111i | −0.131299 | − | 0.117762i | ||||
\(629\) | −32.0925 | − | 44.1715i | −1.27961 | − | 1.76123i | ||||
\(630\) | −4.52038 | + | 20.5737i | −0.180096 | + | 0.819677i | ||||
\(631\) | −13.2529 | + | 18.2411i | −0.527591 | + | 0.726167i | −0.986761 | − | 0.162181i | \(-0.948147\pi\) |
0.459170 | + | 0.888349i | \(0.348147\pi\) | |||||||
\(632\) | 2.33399 | − | 0.765875i | 0.0928412 | − | 0.0304649i | ||||
\(633\) | −28.2314 | − | 11.3331i | −1.12210 | − | 0.450452i | ||||
\(634\) | −23.5058 | − | 4.97249i | −0.933536 | − | 0.197483i | ||||
\(635\) | −15.0250 | + | 27.4405i | −0.596247 | + | 1.08894i | ||||
\(636\) | −10.9843 | + | 10.6962i | −0.435555 | + | 0.424133i | ||||
\(637\) | −4.35262 | − | 1.41425i | −0.172457 | − | 0.0560347i | ||||
\(638\) | 8.70166 | − | 41.1343i | 0.344502 | − | 1.62852i | ||||
\(639\) | −28.2083 | − | 26.9986i | −1.11590 | − | 1.06805i | ||||
\(640\) | −13.2883 | − | 21.5272i | −0.525267 | − | 0.850937i | ||||
\(641\) | 12.9328 | + | 4.20211i | 0.510813 | + | 0.165973i | 0.553072 | − | 0.833133i | \(-0.313455\pi\) |
−0.0422587 | + | 0.999107i | \(0.513455\pi\) | |||||||
\(642\) | −4.57743 | + | 16.1582i | −0.180657 | + | 0.637715i | ||||
\(643\) | 29.1672 | 1.15024 | 0.575121 | − | 0.818068i | \(-0.304955\pi\) | ||||
0.575121 | + | 0.818068i | \(0.304955\pi\) | |||||||
\(644\) | −1.49360 | + | 3.37228i | −0.0588562 | + | 0.132886i | ||||
\(645\) | −0.562925 | − | 9.40613i | −0.0221652 | − | 0.370366i | ||||
\(646\) | 25.8986 | − | 23.3647i | 1.01897 | − | 0.919272i | ||||
\(647\) | 27.0800 | + | 37.2724i | 1.06462 | + | 1.46533i | 0.875402 | + | 0.483395i | \(0.160597\pi\) |
0.189222 | + | 0.981934i | \(0.439403\pi\) | |||||||
\(648\) | 1.18906 | + | 25.4281i | 0.0467106 | + | 0.998908i | ||||
\(649\) | 37.3226 | 1.46504 | ||||||||
\(650\) | 0.722873 | + | 15.6179i | 0.0283534 | + | 0.612584i | ||||
\(651\) | 17.7152 | − | 4.45883i | 0.694313 | − | 0.174755i | ||||
\(652\) | −14.2364 | − | 24.5480i | −0.557539 | − | 0.961375i | ||||
\(653\) | 9.13539 | − | 6.63725i | 0.357495 | − | 0.259736i | −0.394511 | − | 0.918891i | \(-0.629086\pi\) |
0.752007 | + | 0.659156i | \(0.229086\pi\) | |||||||
\(654\) | −8.87430 | + | 13.2479i | −0.347013 | + | 0.518033i | ||||
\(655\) | 4.81307 | + | 37.5863i | 0.188062 | + | 1.46862i | ||||
\(656\) | −5.86029 | + | 28.1062i | −0.228806 | + | 1.09736i | ||||
\(657\) | 4.04798 | + | 7.53199i | 0.157927 | + | 0.293851i | ||||
\(658\) | 11.9665 | + | 6.89337i | 0.466501 | + | 0.268731i | ||||
\(659\) | −1.28381 | + | 3.95117i | −0.0500102 | + | 0.153916i | −0.972943 | − | 0.231046i | \(-0.925785\pi\) |
0.922933 | + | 0.384961i | \(0.125785\pi\) | |||||||
\(660\) | −8.66846 | + | 23.2294i | −0.337420 | + | 0.904202i | ||||
\(661\) | −13.8966 | − | 42.7694i | −0.540517 | − | 1.66354i | −0.731418 | − | 0.681930i | \(-0.761141\pi\) |
0.190901 | − | 0.981609i | \(-0.438859\pi\) | |||||||
\(662\) | 8.68421 | − | 41.0517i | 0.337521 | − | 1.59552i | ||||
\(663\) | −1.96581 | + | 29.0419i | −0.0763456 | + | 1.12790i | ||||
\(664\) | 9.65348 | + | 13.2059i | 0.374628 | + | 0.512488i | ||||
\(665\) | −15.9806 | + | 2.04638i | −0.619703 | + | 0.0793553i | ||||
\(666\) | 8.55929 | + | 29.2499i | 0.331666 | + | 1.13341i | ||||
\(667\) | −6.24079 | − | 4.53420i | −0.241644 | − | 0.175565i | ||||
\(668\) | 3.69144 | + | 17.2027i | 0.142826 | + | 0.665592i | ||||
\(669\) | −6.66292 | + | 16.5977i | −0.257603 | + | 0.641703i | ||||
\(670\) | −16.5591 | − | 27.1785i | −0.639734 | − | 1.05000i | ||||
\(671\) | −2.30810 | + | 1.67693i | −0.0891031 | + | 0.0647372i | ||||
\(672\) | −3.62604 | + | 21.4510i | −0.139877 | + | 0.827490i | ||||
\(673\) | −11.1174 | + | 3.61228i | −0.428546 | + | 0.139243i | −0.515345 | − | 0.856983i | \(-0.672336\pi\) |
0.0867989 | + | 0.996226i | \(0.472336\pi\) | |||||||
\(674\) | 13.6385 | − | 1.44684i | 0.525335 | − | 0.0557302i | ||||
\(675\) | 21.7837 | + | 14.1587i | 0.838456 | + | 0.544970i | ||||
\(676\) | −15.8613 | + | 3.40359i | −0.610049 | + | 0.130907i | ||||
\(677\) | 11.6601 | + | 35.8861i | 0.448134 | + | 1.37921i | 0.879010 | + | 0.476804i | \(0.158205\pi\) |
−0.430876 | + | 0.902411i | \(0.641795\pi\) | |||||||
\(678\) | −5.00479 | + | 7.47133i | −0.192208 | + | 0.286935i | ||||
\(679\) | −10.8277 | − | 14.9031i | −0.415531 | − | 0.571929i | ||||
\(680\) | −47.2608 | − | 8.79002i | −1.81237 | − | 0.337082i | ||||
\(681\) | −19.4613 | − | 7.81251i | −0.745761 | − | 0.299376i | ||||
\(682\) | 21.3821 | − | 2.26832i | 0.818764 | − | 0.0868586i | ||||
\(683\) | −22.4255 | + | 30.8661i | −0.858088 | + | 1.18106i | 0.123934 | + | 0.992291i | \(0.460449\pi\) |
−0.982022 | + | 0.188767i | \(0.939551\pi\) | |||||||
\(684\) | −18.0051 | + | 7.40884i | −0.688443 | + | 0.283284i | ||||
\(685\) | 21.1116 | − | 9.97814i | 0.806631 | − | 0.381245i | ||||
\(686\) | −26.0068 | + | 11.6092i | −0.992946 | + | 0.443242i | ||||
\(687\) | 27.3786 | + | 1.85321i | 1.04456 | + | 0.0707045i | ||||
\(688\) | −1.05481 | − | 9.67466i | −0.0402144 | − | 0.368843i | ||||
\(689\) | 9.30702 | − | 3.02404i | 0.354569 | − | 0.115207i | ||||
\(690\) | 3.24352 | + | 3.18957i | 0.123479 | + | 0.121425i | ||||
\(691\) | 12.0881 | + | 3.92767i | 0.459854 | + | 0.149416i | 0.529778 | − | 0.848137i | \(-0.322275\pi\) |
−0.0699232 | + | 0.997552i | \(0.522275\pi\) | |||||||
\(692\) | 8.40564 | + | 3.72291i | 0.319535 | + | 0.141524i | ||||
\(693\) | 18.7812 | − | 10.0937i | 0.713439 | − | 0.383429i | ||||
\(694\) | 16.4000 | + | 9.44735i | 0.622536 | + | 0.358617i | ||||
\(695\) | −11.9131 | − | 6.52300i | −0.451891 | − | 0.247431i | ||||
\(696\) | −42.2755 | − | 16.8283i | −1.60245 | − | 0.637875i | ||||
\(697\) | 32.0670 | + | 44.1364i | 1.21462 | + | 1.67179i | ||||
\(698\) | 23.1921 | − | 10.3528i | 0.877834 | − | 0.391857i | ||||
\(699\) | 3.62007 | + | 14.3827i | 0.136924 | + | 0.544005i | ||||
\(700\) | 15.6197 | + | 15.7810i | 0.590367 | + | 0.596465i | ||||
\(701\) | 23.1560i | 0.874589i | 0.899318 | + | 0.437295i | \(0.144063\pi\) | ||||
−0.899318 | + | 0.437295i | \(0.855937\pi\) | |||||||
\(702\) | 6.49485 | − | 14.8934i | 0.245132 | − | 0.562115i | ||||
\(703\) | −18.8581 | + | 13.7012i | −0.711248 | + | 0.516752i | ||||
\(704\) | −7.77120 | + | 24.3995i | −0.292888 | + | 0.919592i | ||||
\(705\) | 13.1573 | − | 10.8171i | 0.495534 | − | 0.407397i | ||||
\(706\) | −16.6489 | + | 28.9015i | −0.626591 | + | 1.08772i | ||||
\(707\) | − | 14.8234i | − | 0.557490i | ||||||
\(708\) | 6.84808 | − | 39.8068i | 0.257367 | − | 1.49603i | ||||
\(709\) | 4.04843 | − | 12.4598i | 0.152042 | − | 0.467937i | −0.845807 | − | 0.533489i | \(-0.820881\pi\) |
0.997849 | + | 0.0655517i | \(0.0208807\pi\) | |||||||
\(710\) | −40.0460 | + | 9.50545i | −1.50290 | + | 0.356733i | ||||
\(711\) | −1.80152 | + | 1.88224i | −0.0675625 | + | 0.0705897i | ||||
\(712\) | −0.0234996 | − | 8.07587i | −0.000880684 | − | 0.302656i | ||||
\(713\) | 1.21909 | − | 3.75197i | 0.0456553 | − | 0.140512i | ||||
\(714\) | 25.5549 | + | 32.4941i | 0.956368 | + | 1.21606i | ||||
\(715\) | 11.5179 | − | 10.8529i | 0.430747 | − | 0.405876i | ||||
\(716\) | 4.70544 | − | 45.6204i | 0.175851 | − | 1.70491i | ||||
\(717\) | 10.7194 | − | 26.7026i | 0.400324 | − | 0.997226i | ||||
\(718\) | 1.57889 | + | 14.8833i | 0.0589238 | + | 0.555439i | ||||
\(719\) | 22.4988 | + | 16.3463i | 0.839062 | + | 0.609614i | 0.922108 | − | 0.386931i | \(-0.126465\pi\) |
−0.0830464 | + | 0.996546i | \(0.526465\pi\) | |||||||
\(720\) | 23.1850 | + | 13.5076i | 0.864054 | + | 0.503400i | ||||
\(721\) | 5.10247 | − | 3.70716i | 0.190026 | − | 0.138062i | ||||
\(722\) | 8.02385 | + | 8.89403i | 0.298617 | + | 0.331001i | ||||
\(723\) | −8.77269 | + | 5.50900i | −0.326260 | + | 0.204882i | ||||
\(724\) | −8.12047 | + | 1.74253i | −0.301795 | + | 0.0647606i | ||||
\(725\) | −39.1259 | + | 25.0168i | −1.45310 | + | 0.929099i | ||||
\(726\) | −1.73404 | + | 0.637424i | −0.0643561 | + | 0.0236570i | ||||
\(727\) | −3.79354 | − | 11.6753i | −0.140695 | − | 0.433014i | 0.855738 | − | 0.517410i | \(-0.173104\pi\) |
−0.996432 | + | 0.0843963i | \(0.973104\pi\) | |||||||
\(728\) | 8.12925 | − | 11.2577i | 0.301290 | − | 0.417238i | ||||
\(729\) | −13.8113 | − | 23.2002i | −0.511531 | − | 0.859265i | ||||
\(730\) | 8.98376 | + | 0.730264i | 0.332504 | + | 0.0270283i | ||||
\(731\) | −14.9608 | − | 10.8697i | −0.553345 | − | 0.402029i | ||||
\(732\) | 1.36505 | + | 2.76941i | 0.0504537 | + | 0.102360i | ||||
\(733\) | −14.8309 | + | 20.4130i | −0.547792 | + | 0.753970i | −0.989710 | − | 0.143085i | \(-0.954298\pi\) |
0.441919 | + | 0.897055i | \(0.354298\pi\) | |||||||
\(734\) | 39.8763 | + | 8.43555i | 1.47186 | + | 0.311362i | ||||
\(735\) | 0.478907 | + | 8.00224i | 0.0176648 | + | 0.295167i | ||||
\(736\) | 3.50667 | + | 3.12676i | 0.129258 | + | 0.115254i | ||||
\(737\) | −9.95479 | + | 30.6377i | −0.366689 | + | 1.12855i | ||||
\(738\) | −8.55248 | − | 29.2267i | −0.314821 | − | 1.07585i | ||||
\(739\) | −15.9853 | + | 5.19394i | −0.588029 | + | 0.191062i | −0.587894 | − | 0.808938i | \(-0.700043\pi\) |
−0.000134647 | 1.00000i | \(0.500043\pi\) | ||||||||
\(740\) | 30.7875 | + | 9.17326i | 1.13177 | + | 0.337216i | ||||
\(741\) | 12.3989 | + | 0.839260i | 0.455484 | + | 0.0308310i | ||||
\(742\) | 6.93723 | − | 12.0426i | 0.254674 | − | 0.442098i | ||||
\(743\) | 22.9850i | 0.843239i | 0.906773 | + | 0.421620i | \(0.138538\pi\) | ||||
−0.906773 | + | 0.421620i | \(0.861462\pi\) | |||||||
\(744\) | 1.50396 | − | 23.2215i | 0.0551379 | − | 0.851342i | ||||
\(745\) | −26.9154 | + | 25.3613i | −0.986104 | + | 0.929167i | ||||
\(746\) | −33.7367 | + | 30.4359i | −1.23519 | + | 1.11434i | ||||
\(747\) | −15.6281 | − | 7.53632i | −0.571802 | − | 0.275740i | ||||
\(748\) | 24.4109 | + | 42.0921i | 0.892551 | + | 1.53904i | ||||
\(749\) | − | 15.2234i | − | 0.556249i | ||||||
\(750\) | 25.0039 | − | 11.1716i | 0.913013 | − | 0.407931i | ||||
\(751\) | − | 15.1363i | − | 0.552333i | −0.961110 | − | 0.276166i | \(-0.910936\pi\) | ||
0.961110 | − | 0.276166i | \(-0.0890641\pi\) | |||||||
\(752\) | 13.0274 | − | 11.8218i | 0.475061 | − | 0.431096i | ||||
\(753\) | 5.37208 | + | 4.48736i | 0.195770 | + | 0.163528i | ||||
\(754\) | 19.4544 | + | 21.5642i | 0.708488 | + | 0.785323i | ||||
\(755\) | 28.1453 | − | 26.5203i | 1.02431 | − | 0.965171i | ||||
\(756\) | −7.31953 | − | 21.8833i | −0.266209 | − | 0.795888i | ||||
\(757\) | − | 32.0552i | − | 1.16507i | −0.812807 | − | 0.582533i | \(-0.802062\pi\) | ||
0.812807 | − | 0.582533i | \(-0.197938\pi\) | |||||||
\(758\) | 38.1253 | + | 21.9623i | 1.38477 | + | 0.797708i | ||||
\(759\) | 0.310967 | − | 4.59409i | 0.0112874 | − | 0.166755i | ||||
\(760\) | −3.75272 | + | 20.1770i | −0.136125 | + | 0.731897i | ||||
\(761\) | −17.0493 | + | 5.53967i | −0.618038 | + | 0.200813i | −0.601269 | − | 0.799047i | \(-0.705338\pi\) |
−0.0167691 | + | 0.999859i | \(0.505338\pi\) | |||||||
\(762\) | −1.30554 | − | 34.2457i | −0.0472948 | − | 1.24059i | ||||
\(763\) | 4.46657 | − | 13.7467i | 0.161701 | − | 0.497664i | ||||
\(764\) | −20.5115 | − | 35.3683i | −0.742080 | − | 1.27958i | ||||
\(765\) | 48.6133 | − | 15.3767i | 1.75762 | − | 0.555947i | ||||
\(766\) | 0.852516 | − | 4.02999i | 0.0308027 | − | 0.145609i | ||||
\(767\) | −15.1538 | + | 20.8574i | −0.547171 | + | 0.753117i | ||||
\(768\) | 24.5977 | + | 12.7654i | 0.887592 | + | 0.460630i | ||||
\(769\) | −18.4579 | − | 13.4104i | −0.665608 | − | 0.483592i | 0.202944 | − | 0.979190i | \(-0.434949\pi\) |
−0.868552 | + | 0.495598i | \(0.834949\pi\) | |||||||
\(770\) | 1.82093 | − | 22.4012i | 0.0656218 | − | 0.807284i | ||||
\(771\) | 26.0899 | + | 21.7932i | 0.939606 | + | 0.784863i | ||||
\(772\) | −2.43797 | − | 2.18661i | −0.0877445 | − | 0.0786978i | ||||
\(773\) | −9.76752 | − | 30.0613i | −0.351313 | − | 1.08123i | −0.958116 | − | 0.286379i | \(-0.907548\pi\) |
0.606803 | − | 0.794852i | \(-0.292452\pi\) | |||||||
\(774\) | 5.81852 | + | 8.52616i | 0.209142 | + | 0.306466i | ||||
\(775\) | −18.3510 | − | 15.0766i | −0.659186 | − | 0.541569i | ||||
\(776\) | −22.2961 | + | 7.31624i | −0.800383 | + | 0.262638i | ||||
\(777\) | −14.6917 | − | 23.3956i | −0.527063 | − | 0.839311i | ||||
\(778\) | −24.4649 | + | 22.0713i | −0.877109 | + | 0.791294i | ||||
\(779\) | 18.8431 | − | 13.6903i | 0.675125 | − | 0.490507i | ||||
\(780\) | −9.46193 | − | 14.2759i | −0.338791 | − | 0.511159i | ||||
\(781\) | 33.7047 | + | 24.4879i | 1.20605 | + | 0.876247i | ||||
\(782\) | 8.87768 | − | 0.941789i | 0.317465 | − | 0.0336783i | ||||
\(783\) | 47.9627 | − | 5.36541i | 1.71405 | − | 0.191744i | ||||
\(784\) | 0.897380 | + | 8.23069i | 0.0320493 | + | 0.293953i | ||||
\(785\) | 3.59652 | − | 3.38886i | 0.128365 | − | 0.120953i | ||||
\(786\) | −25.6605 | − | 32.6284i | −0.915280 | − | 1.16382i | ||||
\(787\) | 2.82585 | − | 8.69708i | 0.100731 | − | 0.310017i | −0.887974 | − | 0.459894i | \(-0.847888\pi\) |
0.988705 | + | 0.149876i | \(0.0478875\pi\) | |||||||
\(788\) | 3.75883 | − | 36.4428i | 0.133903 | − | 1.29822i | ||||
\(789\) | 24.9199 | + | 39.6831i | 0.887171 | + | 1.41276i | ||||
\(790\) | 0.634267 | + | 2.67213i | 0.0225662 | + | 0.0950703i | ||||
\(791\) | 2.51899 | − | 7.75265i | 0.0895650 | − | 0.275653i | ||||
\(792\) | −4.91326 | − | 26.7125i | −0.174585 | − | 0.949186i | ||||
\(793\) | − | 1.97073i | − | 0.0699826i | ||||||
\(794\) | 0.305003 | + | 0.175699i | 0.0108242 | + | 0.00623534i | ||||
\(795\) | −10.8860 | − | 13.2411i | −0.386085 | − | 0.469612i | ||||
\(796\) | 4.36934 | + | 3.91885i | 0.154867 | + | 0.138900i | ||||
\(797\) | 5.45265 | − | 3.96158i | 0.193143 | − | 0.140326i | −0.487011 | − | 0.873396i | \(-0.661913\pi\) |
0.680154 | + | 0.733069i | \(0.261913\pi\) | |||||||
\(798\) | 13.8727 | − | 10.9101i | 0.491087 | − | 0.386215i | ||||
\(799\) | − | 33.4274i | − | 1.18258i | ||||||
\(800\) | 25.2300 | − | 12.7846i | 0.892016 | − | 0.452004i | ||||
\(801\) | 4.05505 | + | 7.54515i | 0.143278 | + | 0.266595i | ||||
\(802\) | −10.0353 | − | 22.4809i | −0.354358 | − | 0.793829i | ||||
\(803\) | −5.36265 | − | 7.38105i | −0.189244 | − | 0.260472i | ||||
\(804\) | 30.8504 | + | 16.2389i | 1.08801 | + | 0.572701i | ||||
\(805\) | −3.61688 | − | 1.98041i | −0.127478 | − | 0.0698003i | ||||
\(806\) | −7.41397 | + | 12.8702i | −0.261146 | + | 0.453333i | ||||
\(807\) | 5.64520 | − | 1.42087i | 0.198720 | − | 0.0500170i | ||||
\(808\) | −17.9753 | − | 5.78277i | −0.632371 | − | 0.203437i | ||||
\(809\) | −17.2246 | − | 5.59660i | −0.605584 | − | 0.196766i | −0.00985455 | − | 0.999951i | \(-0.503137\pi\) |
−0.595729 | + | 0.803185i | \(0.703137\pi\) | |||||||
\(810\) | −28.4407 | − | 1.06108i | −0.999305 | − | 0.0372825i | ||||
\(811\) | 2.23587 | − | 0.726477i | 0.0785119 | − | 0.0255101i | −0.269498 | − | 0.963001i | \(-0.586858\pi\) |
0.348010 | + | 0.937491i | \(0.386858\pi\) | |||||||
\(812\) | 41.0283 | + | 4.23180i | 1.43981 | + | 0.148507i | ||||
\(813\) | −1.89665 | + | 28.0203i | −0.0665185 | + | 0.982716i | ||||
\(814\) | −13.2548 | − | 29.6933i | −0.464582 | − | 1.04075i | ||||
\(815\) | 28.6844 | − | 13.5574i | 1.00477 | − | 0.474894i | ||||
\(816\) | 49.3727 | − | 18.3125i | 1.72839 | − | 0.641065i | ||||
\(817\) | −4.64058 | + | 6.38720i | −0.162353 | + | 0.223460i | ||||
\(818\) | −4.29486 | − | 40.4851i | −0.150166 | − | 1.41553i | ||||
\(819\) | −1.98478 | + | 14.5940i | −0.0693538 | + | 0.509954i | ||||
\(820\) | −30.7631 | − | 9.16596i | −1.07429 | − | 0.320089i | ||||
\(821\) | 7.52785 | + | 10.3612i | 0.262724 | + | 0.361608i | 0.919916 | − | 0.392114i | \(-0.128256\pi\) |
−0.657193 | + | 0.753723i | \(0.728256\pi\) | |||||||
\(822\) | −14.2360 | + | 21.2520i | −0.496538 | + | 0.741250i | ||||
\(823\) | 15.2517 | + | 46.9401i | 0.531642 | + | 1.63623i | 0.750794 | + | 0.660536i | \(0.229671\pi\) |
−0.219152 | + | 0.975691i | \(0.570329\pi\) | |||||||
\(824\) | −2.50491 | − | 7.63365i | −0.0872625 | − | 0.265931i | ||||
\(825\) | −25.0663 | − | 11.8370i | −0.872696 | − | 0.412110i | ||||
\(826\) | 3.86250 | + | 36.4095i | 0.134393 | + | 1.26685i | ||||
\(827\) | −19.3214 | + | 6.27791i | −0.671872 | + | 0.218304i | −0.625033 | − | 0.780598i | \(-0.714915\pi\) |
−0.0468384 | + | 0.998902i | \(0.514915\pi\) | |||||||
\(828\) | −4.84281 | − | 1.17460i | −0.168299 | − | 0.0408203i | ||||
\(829\) | −14.6280 | + | 10.6278i | −0.508051 | + | 0.369120i | −0.812084 | − | 0.583541i | \(-0.801667\pi\) |
0.304033 | + | 0.952662i | \(0.401667\pi\) | |||||||
\(830\) | −15.6183 | + | 9.51580i | −0.542119 | + | 0.330298i | ||||
\(831\) | 12.8098 | + | 5.14231i | 0.444365 | + | 0.178385i | ||||
\(832\) | −10.4802 | − | 14.2496i | −0.363335 | − | 0.494016i | ||||
\(833\) | 12.7279 | + | 9.24734i | 0.440994 | + | 0.320401i | ||||
\(834\) | 14.8676 | − | 0.566794i | 0.514823 | − | 0.0196265i | ||||
\(835\) | −19.5117 | + | 2.49855i | −0.675230 | + | 0.0864658i | ||||
\(836\) | 17.9704 | − | 10.4217i | 0.621518 | − | 0.360443i | ||||
\(837\) | 10.1894 | + | 22.4803i | 0.352198 | + | 0.777032i | ||||
\(838\) | −42.1255 | − | 8.91134i | −1.45520 | − | 0.307837i | ||||
\(839\) | 2.42423 | + | 7.46102i | 0.0836938 | + | 0.257583i | 0.984143 | − | 0.177379i | \(-0.0567618\pi\) |
−0.900449 | + | 0.434962i | \(0.856762\pi\) | |||||||
\(840\) | −23.5581 | − | 6.05238i | −0.812832 | − | 0.208827i | ||||
\(841\) | −17.6965 | + | 54.4643i | −0.610224 | + | 1.87808i | ||||
\(842\) | 4.59592 | − | 7.97823i | 0.158386 | − | 0.274948i | ||||
\(843\) | 1.40962 | − | 0.354795i | 0.0485499 | − | 0.0122198i | ||||
\(844\) | 14.2253 | − | 32.1182i | 0.489656 | − | 1.10555i | ||||
\(845\) | −2.30372 | − | 17.9902i | −0.0792503 | − | 0.618883i | ||||
\(846\) | −6.28647 | + | 17.5679i | −0.216133 | + | 0.603997i | ||||
\(847\) | 1.35485 | − | 0.984357i | 0.0465532 | − | 0.0338229i | ||||
\(848\) | −11.8970 | − | 13.1103i | −0.408544 | − | 0.450209i | ||||
\(849\) | 7.14543 | + | 28.3892i | 0.245231 | + | 0.974314i | ||||
\(850\) | 14.2271 | − | 51.8280i | 0.487987 | − | 1.77769i | ||||
\(851\) | −5.96607 | −0.204514 | ||||||||
\(852\) | 32.3021 | − | 31.4550i | 1.10665 | − | 1.07763i | ||||
\(853\) | −3.58570 | − | 4.93529i | −0.122772 | − | 0.168981i | 0.743207 | − | 0.669062i | \(-0.233304\pi\) |
−0.865979 | + | 0.500080i | \(0.833304\pi\) | |||||||
\(854\) | −1.87476 | − | 2.07808i | −0.0641531 | − | 0.0711104i | ||||
\(855\) | −6.56478 | − | 20.7545i | −0.224511 | − | 0.709788i | ||||
\(856\) | −18.4604 | − | 5.93881i | −0.630963 | − | 0.202984i | ||||
\(857\) | 25.4171 | 0.868231 | 0.434115 | − | 0.900857i | \(-0.357061\pi\) | ||||
0.434115 | + | 0.900857i | \(0.357061\pi\) | |||||||
\(858\) | −4.72515 | + | 16.6797i | −0.161314 | + | 0.569435i | ||||
\(859\) | −16.0093 | − | 5.20174i | −0.546231 | − | 0.177481i | 0.0228856 | − | 0.999738i | \(-0.492715\pi\) |
−0.569117 | + | 0.822257i | \(0.692715\pi\) | |||||||
\(860\) | 10.8774 | − | 0.267430i | 0.370916 | − | 0.00911929i | ||||
\(861\) | 14.6801 | + | 23.3770i | 0.500295 | + | 0.796685i | ||||
\(862\) | 20.2121 | + | 4.27573i | 0.688427 | + | 0.145632i | ||||
\(863\) | 28.3777 | + | 9.22046i | 0.965987 | + | 0.313868i | 0.749195 | − | 0.662350i | \(-0.230441\pi\) |
0.216792 | + | 0.976218i | \(0.430441\pi\) | |||||||
\(864\) | −29.3919 | + | 0.338995i | −0.999933 | + | 0.0115328i | ||||
\(865\) | −4.93632 | + | 9.01534i | −0.167840 | + | 0.306531i | ||||
\(866\) | −0.798843 | + | 3.77627i | −0.0271458 | + | 0.128323i | ||||
\(867\) | 26.3079 | − | 65.5343i | 0.893464 | − | 2.22566i | ||||
\(868\) | 4.42565 | + | 20.6242i | 0.150216 | + | 0.700032i | ||||
\(869\) | 1.63400 | − | 2.24900i | 0.0554296 | − | 0.0762923i | ||||
\(870\) | 22.7147 | − | 45.5198i | 0.770102 | − | 1.54327i | ||||
\(871\) | −13.0797 | − | 18.0027i | −0.443189 | − | 0.609998i | ||||
\(872\) | −14.9273 | − | 10.7791i | −0.505502 | − | 0.365026i | ||||
\(873\) | 17.2096 | − | 17.9807i | 0.582456 | − | 0.608553i | ||||
\(874\) | −0.402078 | − | 3.79015i | −0.0136005 | − | 0.128204i | ||||
\(875\) | −19.0470 | + | 15.9210i | −0.643905 | + | 0.538230i | ||||
\(876\) | −8.85628 | + | 4.36528i | −0.299226 | + | 0.147489i | ||||
\(877\) | −45.6035 | + | 14.8175i | −1.53992 | + | 0.500351i | −0.951355 | − | 0.308098i | \(-0.900308\pi\) |
−0.588567 | + | 0.808449i | \(0.700308\pi\) | |||||||
\(878\) | 38.7793 | − | 34.9852i | 1.30874 | − | 1.18069i | ||||
\(879\) | −19.9768 | − | 16.6868i | −0.673800 | − | 0.562832i | ||||
\(880\) | −26.4542 | − | 10.9471i | −0.891769 | − | 0.369027i | ||||
\(881\) | 1.23050 | − | 1.69363i | 0.0414564 | − | 0.0570599i | −0.787786 | − | 0.615950i | \(-0.788772\pi\) |
0.829242 | + | 0.558890i | \(0.188772\pi\) | |||||||
\(882\) | −4.95009 | − | 7.25361i | −0.166678 | − | 0.244242i | ||||
\(883\) | 16.7448 | + | 12.1658i | 0.563506 | + | 0.409411i | 0.832740 | − | 0.553664i | \(-0.186771\pi\) |
−0.269235 | + | 0.963075i | \(0.586771\pi\) | |||||||
\(884\) | −33.4341 | − | 3.44851i | −1.12451 | − | 0.115986i | ||||
\(885\) | 43.7059 | + | 11.3643i | 1.46916 | + | 0.382006i | ||||
\(886\) | −14.9626 | − | 33.5191i | −0.502680 | − | 1.12610i | ||||
\(887\) | −9.28393 | − | 3.01653i | −0.311724 | − | 0.101285i | 0.148977 | − | 0.988841i | \(-0.452402\pi\) |
−0.460701 | + | 0.887555i | \(0.652402\pi\) | |||||||
\(888\) | −34.1017 | + | 8.68885i | −1.14438 | + | 0.291579i | ||||
\(889\) | 9.59971 | + | 29.5449i | 0.321964 | + | 0.990903i | ||||
\(890\) | 8.99945 | + | 0.731540i | 0.301662 | + | 0.0245213i | ||||
\(891\) | 17.9376 | + | 22.5422i | 0.600933 | + | 0.755191i | ||||
\(892\) | −18.8827 | − | 8.36329i | −0.632241 | − | 0.280024i | ||||
\(893\) | −14.2712 | −0.477566 | ||||||||
\(894\) | 11.0418 | − | 38.9774i | 0.369294 | − | 1.30360i | ||||
\(895\) | 50.3838 | + | 9.52263i | 1.68414 | + | 0.318306i | ||||
\(896\) | −24.6068 | − | 5.05596i | −0.822055 | − | 0.168908i | ||||
\(897\) | 2.44110 | + | 2.03908i | 0.0815061 | + | 0.0680829i | ||||
\(898\) | −4.35494 | − | 9.75588i | −0.145326 | − | 0.325558i | ||||
\(899\) | −44.1181 | −1.47142 | ||||||||
\(900\) | −17.2241 | + | 24.5628i | −0.574135 | + | 0.818760i | ||||
\(901\) | −33.6401 | −1.12072 | ||||||||
\(902\) | 13.2443 | + | 29.6697i | 0.440987 | + | 0.987894i | ||||
\(903\) | −7.18117 | − | 5.99851i | −0.238975 | − | 0.199618i | ||||
\(904\) | −8.41846 | − | 6.07902i | −0.279994 | − | 0.202185i | ||||
\(905\) | −1.17943 | − | 9.21043i | −0.0392056 | − | 0.306165i | ||||
\(906\) | −11.5464 | + | 40.7586i | −0.383604 | + | 1.35411i | ||||
\(907\) | −38.6456 | −1.28321 | −0.641604 | − | 0.767036i | \(-0.721731\pi\) | ||||
−0.641604 | + | 0.767036i | \(0.721731\pi\) | |||||||
\(908\) | 9.80625 | − | 22.1407i | 0.325432 | − | 0.734764i | ||||
\(909\) | 19.7081 | − | 3.56568i | 0.653676 | − | 0.118266i | ||||
\(910\) | 11.7794 | + | 10.1130i | 0.390482 | + | 0.335242i | ||||
\(911\) | 5.60186 | + | 17.2408i | 0.185598 | + | 0.571212i | 0.999958 | − | 0.00914805i | \(-0.00291196\pi\) |
−0.814360 | + | 0.580360i | \(0.802912\pi\) | |||||||
\(912\) | −7.81813 | − | 21.0787i | −0.258884 | − | 0.697985i | ||||
\(913\) | 17.6062 | + | 5.72059i | 0.582679 | + | 0.189324i | ||||
\(914\) | −9.62481 | − | 21.5614i | −0.318361 | − | 0.713187i | ||||
\(915\) | −3.21345 | + | 1.26095i | −0.106233 | + | 0.0416856i | ||||
\(916\) | −3.25099 | + | 31.5192i | −0.107416 | + | 1.04142i | ||||
\(917\) | 30.4413 | + | 22.1169i | 1.00526 | + | 0.730364i | ||||
\(918\) | −37.0547 | + | 41.7922i | −1.22299 | + | 1.37935i | ||||
\(919\) | −18.6763 | + | 25.7058i | −0.616075 | + | 0.847955i | −0.997060 | − | 0.0766265i | \(-0.975585\pi\) |
0.380985 | + | 0.924581i | \(0.375585\pi\) | |||||||
\(920\) | −3.81251 | + | 3.61338i | −0.125695 | + | 0.119130i | ||||
\(921\) | −1.61049 | − | 1.34526i | −0.0530674 | − | 0.0443278i | ||||
\(922\) | 19.6745 | − | 17.7496i | 0.647946 | − | 0.584552i | ||||
\(923\) | −27.3697 | + | 8.89295i | −0.900884 | + | 0.292715i | ||||
\(924\) | 10.8849 | + | 22.0833i | 0.358088 | + | 0.726489i | ||||
\(925\) | −13.1085 | + | 33.4394i | −0.431004 | + | 1.09948i | ||||
\(926\) | 1.20666 | + | 11.3745i | 0.0396534 | + | 0.373789i | ||||
\(927\) | 6.15615 | + | 5.89215i | 0.202195 | + | 0.193523i | ||||
\(928\) | 21.1373 | − | 48.1016i | 0.693865 | − | 1.57901i | ||||
\(929\) | −10.5759 | − | 14.5564i | −0.346983 | − | 0.477581i | 0.599482 | − | 0.800388i | \(-0.295373\pi\) |
−0.946465 | + | 0.322807i | \(0.895373\pi\) | |||||||
\(930\) | 25.7297 | + | 3.85431i | 0.843712 | + | 0.126388i | ||||
\(931\) | 3.94796 | − | 5.43390i | 0.129389 | − | 0.178089i | ||||
\(932\) | −16.7445 | + | 3.59313i | −0.548486 | + | 0.117697i | ||||
\(933\) | 1.74734 | − | 4.35271i | 0.0572053 | − | 0.142501i | ||||
\(934\) | −3.24128 | + | 15.3221i | −0.106058 | + | 0.501354i | ||||
\(935\) | −49.1848 | + | 23.2466i | −1.60851 | + | 0.760246i | ||||
\(936\) | 16.9229 | + | 8.10010i | 0.553142 | + | 0.264760i | ||||
\(937\) | 21.5756 | + | 7.01035i | 0.704845 | + | 0.229018i | 0.639440 | − | 0.768841i | \(-0.279166\pi\) |
0.0654048 | + | 0.997859i | \(0.479166\pi\) | |||||||
\(938\) | −30.9183 | − | 6.54055i | −1.00952 | − | 0.213556i | ||||
\(939\) | −20.3696 | − | 32.4371i | −0.664736 | − | 1.05855i | ||||
\(940\) | 11.9482 | + | 15.6229i | 0.389708 | + | 0.509562i | ||||
\(941\) | −4.09131 | − | 1.32935i | −0.133373 | − | 0.0433355i | 0.241570 | − | 0.970383i | \(-0.422338\pi\) |
−0.374943 | + | 0.927048i | \(0.622338\pi\) | |||||||
\(942\) | −1.47544 | + | 5.20828i | −0.0480725 | + | 0.169695i | ||||
\(943\) | 5.96133 | 0.194128 | ||||||||
\(944\) | 45.6582 | + | 9.51996i | 1.48605 | + | 0.309848i | ||||
\(945\) | 25.0667 | − | 6.10141i | 0.815421 | − | 0.198479i | ||||
\(946\) | −7.37746 | − | 8.17754i | −0.239862 | − | 0.265875i | ||||
\(947\) | −29.1597 | − | 40.1349i | −0.947564 | − | 1.30421i | −0.952601 | − | 0.304223i | \(-0.901603\pi\) |
0.00503698 | − | 0.999987i | \(-0.498397\pi\) | |||||||
\(948\) | −2.09889 | − | 2.15541i | −0.0681687 | − | 0.0700045i | ||||
\(949\) | 6.30218 | 0.204577 | ||||||||
\(950\) | −22.1269 | − | 6.07398i | −0.717892 | − | 0.197066i | ||||
\(951\) | 7.18232 | + | 28.5358i | 0.232903 | + | 0.925335i | ||||
\(952\) | −38.5360 | + | 28.1697i | −1.24896 | + | 0.912986i | ||||
\(953\) | −10.7014 | + | 7.77505i | −0.346654 | + | 0.251859i | −0.747464 | − | 0.664303i | \(-0.768729\pi\) |
0.400810 | + | 0.916161i | \(0.368729\pi\) | |||||||
\(954\) | 17.6797 | + | 6.32647i | 0.572401 | + | 0.204827i | ||||
\(955\) | 41.3280 | − | 19.5332i | 1.33734 | − | 0.632080i | ||||
\(956\) | 30.3789 | + | 13.4550i | 0.982523 | + | 0.435165i | ||||
\(957\) | −49.9364 | + | 12.5688i | −1.61421 | + | 0.406291i | ||||
\(958\) | 11.9520 | − | 20.7479i | 0.386151 | − | 0.670334i | ||||
\(959\) | 7.16521 | − | 22.0522i | 0.231377 | − | 0.712104i | ||||
\(960\) | −16.5296 | + | 26.2063i | −0.533492 | + | 0.845805i | ||||
\(961\) | 2.60732 | + | 8.02452i | 0.0841072 | + | 0.258855i | ||||
\(962\) | 21.9756 | + | 4.64878i | 0.708521 | + | 0.149883i | ||||
\(963\) | 20.2399 | − | 3.66190i | 0.652221 | − | 0.118003i | ||||
\(964\) | −6.00086 | − | 10.3474i | −0.193275 | − | 0.333267i | ||||
\(965\) | 2.66482 | − | 2.51096i | 0.0857837 | − | 0.0808307i | ||||
\(966\) | 4.51387 | − | 0.172081i | 0.145231 | − | 0.00553662i | ||||
\(967\) | 0.0791676 | + | 0.0575186i | 0.00254586 | + | 0.00184967i | 0.589057 | − | 0.808091i | \(-0.299499\pi\) |
−0.586512 | + | 0.809941i | \(0.699499\pi\) | |||||||
\(968\) | −0.665123 | − | 2.02695i | −0.0213779 | − | 0.0651487i | ||||
\(969\) | −39.6445 | − | 15.9148i | −1.27357 | − | 0.511257i | ||||
\(970\) | −6.05901 | − | 25.5263i | −0.194543 | − | 0.819600i | ||||
\(971\) | −6.93810 | + | 5.04083i | −0.222654 | + | 0.161768i | −0.693521 | − | 0.720437i | \(-0.743941\pi\) |
0.470866 | + | 0.882205i | \(0.343941\pi\) | |||||||
\(972\) | 27.3338 | − | 14.9954i | 0.876732 | − | 0.480979i | ||||
\(973\) | −12.8267 | + | 4.16766i | −0.411206 | + | 0.133609i | ||||
\(974\) | −3.06803 | − | 28.9205i | −0.0983062 | − | 0.926674i | ||||
\(975\) | 16.7924 | − | 9.20200i | 0.537788 | − | 0.294700i | ||||
\(976\) | −3.25132 | + | 1.46272i | −0.104072 | + | 0.0468207i | ||||
\(977\) | −14.5557 | − | 44.7978i | −0.465678 | − | 1.43321i | −0.858128 | − | 0.513436i | \(-0.828372\pi\) |
0.392450 | − | 0.919774i | \(-0.371628\pi\) | |||||||
\(978\) | −19.3426 | + | 28.8753i | −0.618508 | + | 0.923331i | ||||
\(979\) | −5.37201 | − | 7.39394i | −0.171690 | − | 0.236311i | ||||
\(980\) | −9.25393 | + | 0.227516i | −0.295606 | + | 0.00726772i | ||||
\(981\) | 19.3510 | + | 2.63174i | 0.617831 | + | 0.0840251i | ||||
\(982\) | −0.935915 | − | 8.82231i | −0.0298663 | − | 0.281531i | ||||
\(983\) | 10.3496 | − | 14.2450i | 0.330100 | − | 0.454343i | −0.611417 | − | 0.791308i | \(-0.709400\pi\) |
0.941517 | + | 0.336965i | \(0.109400\pi\) | |||||||
\(984\) | 34.0746 | − | 8.68194i | 1.08626 | − | 0.276770i | ||||
\(985\) | 40.2479 | + | 7.60693i | 1.28240 | + | 0.242377i | ||||
\(986\) | −40.6960 | − | 91.1665i | −1.29602 | − | 2.90333i | ||||
\(987\) | 1.14225 | − | 16.8750i | 0.0363581 | − | 0.537139i | ||||
\(988\) | −1.47227 | + | 14.2740i | −0.0468391 | + | 0.454117i | ||||
\(989\) | −1.92180 | + | 0.624429i | −0.0611096 | + | 0.0198557i | ||||
\(990\) | 30.2211 | − | 2.96751i | 0.960489 | − | 0.0943137i | ||||
\(991\) | −33.4545 | − | 10.8700i | −1.06272 | − | 0.345297i | −0.275069 | − | 0.961424i | \(-0.588701\pi\) |
−0.787647 | + | 0.616127i | \(0.788701\pi\) | |||||||
\(992\) | 26.7362 | + | 2.67906i | 0.848875 | + | 0.0850601i | ||||
\(993\) | −49.8362 | + | 12.5436i | −1.58151 | + | 0.398058i | ||||
\(994\) | −20.4007 | + | 35.4143i | −0.647071 | + | 1.12327i | ||||
\(995\) | −4.77590 | + | 4.50015i | −0.151406 | + | 0.142664i | ||||
\(996\) | 9.33179 | − | 17.7284i | 0.295689 | − | 0.561746i | ||||
\(997\) | 11.0464 | + | 15.2041i | 0.349843 | + | 0.481518i | 0.947284 | − | 0.320395i | \(-0.103816\pi\) |
−0.597441 | + | 0.801913i | \(0.703816\pi\) | |||||||
\(998\) | 23.5455 | + | 52.7463i | 0.745319 | + | 1.66965i | ||||
\(999\) | 27.5711 | − | 25.1608i | 0.872310 | − | 0.796052i |
(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 | 300.2.r.a.119.50 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.119.7 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.119.5 | ✓ | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.119.52 | yes | 224 | |
25.4 | even | 10 | inner | 300.2.r.a.179.52 | yes | 224 | |
75.29 | odd | 10 | inner | 300.2.r.a.179.5 | yes | 224 | |
100.79 | odd | 10 | inner | 300.2.r.a.179.7 | yes | 224 | |
300.179 | even | 10 | inner | 300.2.r.a.179.50 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.119.5 | ✓ | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.119.7 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.119.50 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.119.52 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.179.5 | yes | 224 | 75.29 | odd | 10 | inner | |
300.2.r.a.179.7 | yes | 224 | 100.79 | odd | 10 | inner | |
300.2.r.a.179.50 | yes | 224 | 300.179 | even | 10 | inner | |
300.2.r.a.179.52 | yes | 224 | 25.4 | even | 10 | inner |