Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [192,2,Mod(11,192)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(192, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("192.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 192 = 2^{6} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 192.s (of order \(16\), degree \(8\), 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: | \(1.53312771881\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 179.13 | ||
Character | \(\chi\) | \(=\) | 192.179 |
Dual form | 192.2.s.a.59.13 |
$q$-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 \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(133\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{15}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.306460 | − | 1.38061i | −0.216700 | − | 0.976238i | ||||
\(3\) | −1.12690 | + | 1.31533i | −0.650619 | + | 0.759405i | ||||
\(4\) | −1.81216 | + | 0.846204i | −0.906082 | + | 0.423102i | ||||
\(5\) | −0.193910 | − | 0.974852i | −0.0867193 | − | 0.435967i | −0.999614 | − | 0.0277727i | \(-0.991159\pi\) |
0.912895 | − | 0.408194i | \(-0.133841\pi\) | |||||||
\(6\) | 2.16130 | + | 1.15272i | 0.882349 | + | 0.470596i | ||||
\(7\) | 3.70761 | − | 1.53574i | 1.40135 | − | 0.580456i | 0.451245 | − | 0.892400i | \(-0.350980\pi\) |
0.950100 | + | 0.311944i | \(0.100980\pi\) | |||||||
\(8\) | 1.72363 | + | 2.24256i | 0.609396 | + | 0.792866i | ||||
\(9\) | −0.460173 | − | 2.96450i | −0.153391 | − | 0.988166i | ||||
\(10\) | −1.28646 | + | 0.566468i | −0.406816 | + | 0.179133i | ||||
\(11\) | 2.91108 | − | 4.35674i | 0.877724 | − | 1.31361i | −0.0709914 | − | 0.997477i | \(-0.522616\pi\) |
0.948716 | − | 0.316130i | \(-0.102384\pi\) | |||||||
\(12\) | 0.929101 | − | 3.33718i | 0.268208 | − | 0.963361i | ||||
\(13\) | −4.94964 | − | 0.984544i | −1.37278 | − | 0.273063i | −0.547038 | − | 0.837108i | \(-0.684245\pi\) |
−0.825745 | + | 0.564044i | \(0.809245\pi\) | |||||||
\(14\) | −3.25650 | − | 4.64812i | −0.870335 | − | 1.24226i | ||||
\(15\) | 1.50077 | + | 0.843510i | 0.387497 | + | 0.217793i | ||||
\(16\) | 2.56788 | − | 3.06692i | 0.641970 | − | 0.766730i | ||||
\(17\) | 0.683765 | − | 0.683765i | 0.165837 | − | 0.165837i | −0.619310 | − | 0.785147i | \(-0.712587\pi\) |
0.785147 | + | 0.619310i | \(0.212587\pi\) | |||||||
\(18\) | −3.95179 | + | 1.54382i | −0.931445 | + | 0.363882i | ||||
\(19\) | 2.19880 | + | 0.437368i | 0.504438 | + | 0.100339i | 0.440748 | − | 0.897631i | \(-0.354713\pi\) |
0.0636900 | + | 0.997970i | \(0.479713\pi\) | |||||||
\(20\) | 1.17632 | + | 1.60251i | 0.263033 | + | 0.358331i | ||||
\(21\) | −2.15812 | + | 6.60736i | −0.470940 | + | 1.44184i | ||||
\(22\) | −6.90709 | − | 2.68390i | −1.47260 | − | 0.572209i | ||||
\(23\) | 5.93261 | + | 2.45737i | 1.23704 | + | 0.512397i | 0.902787 | − | 0.430088i | \(-0.141518\pi\) |
0.334248 | + | 0.942485i | \(0.391518\pi\) | |||||||
\(24\) | −4.89207 | − | 0.260013i | −0.998591 | − | 0.0530749i | ||||
\(25\) | 3.70666 | − | 1.53535i | 0.741332 | − | 0.307070i | ||||
\(26\) | 0.157596 | + | 7.13524i | 0.0309071 | + | 1.39934i | ||||
\(27\) | 4.41786 | + | 2.73543i | 0.850217 | + | 0.526433i | ||||
\(28\) | −5.41925 | + | 5.92041i | −1.02414 | + | 1.11885i | ||||
\(29\) | −3.04078 | + | 2.03178i | −0.564658 | + | 0.377292i | −0.804891 | − | 0.593423i | \(-0.797776\pi\) |
0.240233 | + | 0.970715i | \(0.422776\pi\) | |||||||
\(30\) | 0.704632 | − | 2.33048i | 0.128648 | − | 0.425485i | ||||
\(31\) | −6.01645 | −1.08059 | −0.540294 | − | 0.841477i | \(-0.681687\pi\) | ||||
−0.540294 | + | 0.841477i | \(0.681687\pi\) | |||||||
\(32\) | −5.02117 | − | 2.60535i | −0.887626 | − | 0.460565i | ||||
\(33\) | 2.45003 | + | 8.73866i | 0.426496 | + | 1.52121i | ||||
\(34\) | −1.15356 | − | 0.734465i | −0.197834 | − | 0.125960i | ||||
\(35\) | −2.21607 | − | 3.31658i | −0.374584 | − | 0.560604i | ||||
\(36\) | 3.34248 | + | 4.98275i | 0.557080 | + | 0.830459i | ||||
\(37\) | −1.17177 | − | 5.89086i | −0.192637 | − | 0.968452i | −0.949234 | − | 0.314570i | \(-0.898140\pi\) |
0.756597 | − | 0.653881i | \(-0.226860\pi\) | |||||||
\(38\) | −0.0700094 | − | 3.16971i | −0.0113570 | − | 0.514195i | ||||
\(39\) | 6.87277 | − | 5.40091i | 1.10052 | − | 0.864838i | ||||
\(40\) | 1.85194 | − | 2.11514i | 0.292817 | − | 0.334433i | ||||
\(41\) | −2.28094 | + | 5.50667i | −0.356222 | + | 0.859997i | 0.639602 | + | 0.768706i | \(0.279099\pi\) |
−0.995824 | + | 0.0912906i | \(0.970901\pi\) | |||||||
\(42\) | 9.78356 | + | 0.954626i | 1.50964 | + | 0.147302i | ||||
\(43\) | −4.39265 | + | 6.57407i | −0.669873 | + | 1.00254i | 0.328442 | + | 0.944524i | \(0.393476\pi\) |
−0.998316 | + | 0.0580124i | \(0.981524\pi\) | |||||||
\(44\) | −1.58867 | + | 10.3585i | −0.239501 | + | 1.56160i | ||||
\(45\) | −2.80071 | + | 1.02345i | −0.417506 | + | 0.152566i | ||||
\(46\) | 1.57456 | − | 8.94371i | 0.232156 | − | 1.31868i | ||||
\(47\) | −0.410028 | − | 0.410028i | −0.0598087 | − | 0.0598087i | 0.676570 | − | 0.736379i | \(-0.263466\pi\) |
−0.736379 | + | 0.676570i | \(0.763466\pi\) | |||||||
\(48\) | 1.14025 | + | 6.83373i | 0.164581 | + | 0.986364i | ||||
\(49\) | 6.43813 | − | 6.43813i | 0.919732 | − | 0.919732i | ||||
\(50\) | −3.25566 | − | 4.64693i | −0.460420 | − | 0.657175i | ||||
\(51\) | 0.128837 | + | 1.66991i | 0.0180408 | + | 0.233834i | ||||
\(52\) | 9.80268 | − | 2.40425i | 1.35939 | − | 0.333409i | ||||
\(53\) | 3.47118 | + | 2.31937i | 0.476803 | + | 0.318590i | 0.770645 | − | 0.637264i | \(-0.219934\pi\) |
−0.293842 | + | 0.955854i | \(0.594934\pi\) | |||||||
\(54\) | 2.42266 | − | 6.93763i | 0.329682 | − | 0.944092i | ||||
\(55\) | −4.81167 | − | 1.99306i | −0.648805 | − | 0.268744i | ||||
\(56\) | 9.83456 | + | 5.66750i | 1.31420 | + | 0.757351i | ||||
\(57\) | −3.05311 | + | 2.39927i | −0.404395 | + | 0.317790i | ||||
\(58\) | 3.73697 | + | 3.57546i | 0.490689 | + | 0.469482i | ||||
\(59\) | −0.669452 | + | 0.133162i | −0.0871552 | + | 0.0173363i | −0.238475 | − | 0.971149i | \(-0.576648\pi\) |
0.151320 | + | 0.988485i | \(0.451648\pi\) | |||||||
\(60\) | −3.43342 | − | 0.258623i | −0.443253 | − | 0.0333881i | ||||
\(61\) | −1.32504 | + | 0.885363i | −0.169654 | + | 0.113359i | −0.637498 | − | 0.770452i | \(-0.720031\pi\) |
0.467845 | + | 0.883811i | \(0.345031\pi\) | |||||||
\(62\) | 1.84380 | + | 8.30637i | 0.234163 | + | 1.05491i | ||||
\(63\) | −6.25885 | − | 10.2845i | −0.788541 | − | 1.29572i | ||||
\(64\) | −2.05818 | + | 7.73071i | −0.257273 | + | 0.966339i | ||||
\(65\) | 5.01608i | 0.622168i | ||||||||
\(66\) | 11.3138 | − | 6.06059i | 1.39264 | − | 0.746007i | ||||
\(67\) | 5.83232 | + | 8.72868i | 0.712531 | + | 1.06638i | 0.994271 | + | 0.106887i | \(0.0340884\pi\) |
−0.281740 | + | 0.959491i | \(0.590912\pi\) | |||||||
\(68\) | −0.660490 | + | 1.81770i | −0.0800962 | + | 0.220428i | ||||
\(69\) | −9.91773 | + | 5.03411i | −1.19395 | + | 0.606036i | ||||
\(70\) | −3.89976 | + | 4.07592i | −0.466111 | + | 0.487166i | ||||
\(71\) | −2.48885 | − | 6.00860i | −0.295372 | − | 0.713090i | −0.999994 | − | 0.00350749i | \(-0.998884\pi\) |
0.704622 | − | 0.709583i | \(-0.251116\pi\) | |||||||
\(72\) | 5.85490 | − | 6.14167i | 0.690007 | − | 0.723803i | ||||
\(73\) | −0.0562858 | + | 0.135886i | −0.00658776 | + | 0.0159043i | −0.927139 | − | 0.374717i | \(-0.877740\pi\) |
0.920551 | + | 0.390621i | \(0.127740\pi\) | |||||||
\(74\) | −7.77388 | + | 3.42306i | −0.903695 | + | 0.397923i | ||||
\(75\) | −2.15757 | + | 6.60567i | −0.249134 | + | 0.762757i | ||||
\(76\) | −4.35468 | + | 1.06805i | −0.499516 | + | 0.122513i | ||||
\(77\) | 4.10233 | − | 20.6238i | 0.467503 | − | 2.35030i | ||||
\(78\) | −9.56278 | − | 7.83344i | −1.08277 | − | 0.886963i | ||||
\(79\) | 0.732784 | + | 0.732784i | 0.0824446 | + | 0.0824446i | 0.747127 | − | 0.664682i | \(-0.231433\pi\) |
−0.664682 | + | 0.747127i | \(0.731433\pi\) | |||||||
\(80\) | −3.48773 | − | 1.90860i | −0.389940 | − | 0.213388i | ||||
\(81\) | −8.57648 | + | 2.72836i | −0.952942 | + | 0.303152i | ||||
\(82\) | 8.30157 | + | 1.46151i | 0.916755 | + | 0.161397i | ||||
\(83\) | 1.38633 | − | 6.96953i | 0.152169 | − | 0.765006i | −0.827039 | − | 0.562145i | \(-0.809976\pi\) |
0.979208 | − | 0.202860i | \(-0.0650238\pi\) | |||||||
\(84\) | −1.68031 | − | 13.7998i | −0.183336 | − | 1.50568i | ||||
\(85\) | −0.799159 | − | 0.533981i | −0.0866809 | − | 0.0579183i | ||||
\(86\) | 10.4224 | + | 4.04985i | 1.12388 | + | 0.436706i | ||||
\(87\) | 0.754205 | − | 6.28924i | 0.0808593 | − | 0.674277i | ||||
\(88\) | 14.7879 | − | 0.981137i | 1.57640 | − | 0.104590i | ||||
\(89\) | −3.52518 | − | 8.51054i | −0.373669 | − | 0.902116i | −0.993122 | − | 0.117083i | \(-0.962646\pi\) |
0.619454 | − | 0.785033i | \(-0.287354\pi\) | |||||||
\(90\) | 2.27129 | + | 3.55305i | 0.239415 | + | 0.374524i | ||||
\(91\) | −19.8633 | + | 3.95106i | −2.08224 | + | 0.414184i | ||||
\(92\) | −12.8303 | + | 0.567042i | −1.33765 | + | 0.0591182i | ||||
\(93\) | 6.77997 | − | 7.91361i | 0.703050 | − | 0.820603i | ||||
\(94\) | −0.440431 | + | 0.691746i | −0.0454270 | + | 0.0713481i | ||||
\(95\) | − | 2.22831i | − | 0.228620i | ||||||
\(96\) | 9.08527 | − | 3.66850i | 0.927261 | − | 0.374415i | ||||
\(97\) | 7.20955i | 0.732019i | 0.930611 | + | 0.366009i | \(0.119276\pi\) | ||||
−0.930611 | + | 0.366009i | \(0.880724\pi\) | |||||||
\(98\) | −10.8616 | − | 6.91551i | −1.09718 | − | 0.698572i | ||||
\(99\) | −14.2552 | − | 6.62504i | −1.43270 | − | 0.665841i | ||||
\(100\) | −5.41786 | + | 5.91890i | −0.541786 | + | 0.591890i | ||||
\(101\) | −10.0719 | + | 2.00343i | −1.00219 | + | 0.199349i | −0.668802 | − | 0.743440i | \(-0.733193\pi\) |
−0.333390 | + | 0.942789i | \(0.608193\pi\) | |||||||
\(102\) | 2.26601 | − | 0.689635i | 0.224369 | − | 0.0682841i | ||||
\(103\) | 3.84510 | + | 9.28290i | 0.378869 | + | 0.914672i | 0.992178 | + | 0.124828i | \(0.0398381\pi\) |
−0.613309 | + | 0.789843i | \(0.710162\pi\) | |||||||
\(104\) | −6.32346 | − | 12.7969i | −0.620066 | − | 1.25484i | ||||
\(105\) | 6.85968 | + | 0.822612i | 0.669436 | + | 0.0802787i | ||||
\(106\) | 2.13836 | − | 5.50314i | 0.207696 | − | 0.534512i | ||||
\(107\) | 15.0307 | + | 10.0432i | 1.45307 | + | 0.970911i | 0.996704 | + | 0.0811191i | \(0.0258494\pi\) |
0.456367 | + | 0.889792i | \(0.349151\pi\) | |||||||
\(108\) | −10.3206 | − | 1.21864i | −0.993101 | − | 0.117263i | ||||
\(109\) | −1.13131 | + | 5.68748i | −0.108360 | + | 0.544762i | 0.888024 | + | 0.459797i | \(0.152078\pi\) |
−0.996384 | + | 0.0849650i | \(0.972922\pi\) | |||||||
\(110\) | −1.27705 | + | 7.25383i | −0.121762 | + | 0.691625i | ||||
\(111\) | 9.06888 | + | 5.09718i | 0.860780 | + | 0.483803i | ||||
\(112\) | 4.81070 | − | 15.3145i | 0.454568 | − | 1.44709i | ||||
\(113\) | 7.57068 | + | 7.57068i | 0.712190 | + | 0.712190i | 0.966993 | − | 0.254803i | \(-0.0820107\pi\) |
−0.254803 | + | 0.966993i | \(0.582011\pi\) | |||||||
\(114\) | 4.24811 | + | 3.47988i | 0.397872 | + | 0.325921i | ||||
\(115\) | 1.24518 | − | 6.25993i | 0.116113 | − | 0.583741i | ||||
\(116\) | 3.79109 | − | 6.25504i | 0.351994 | − | 0.580766i | ||||
\(117\) | −0.640987 | + | 15.1262i | −0.0592592 | + | 1.39842i | ||||
\(118\) | 0.389006 | + | 0.883443i | 0.0358109 | + | 0.0813275i | ||||
\(119\) | 1.48505 | − | 3.58522i | 0.136134 | − | 0.328657i | ||||
\(120\) | 0.695149 | + | 4.81947i | 0.0634581 | + | 0.439955i | ||||
\(121\) | −6.29729 | − | 15.2030i | −0.572481 | − | 1.38209i | ||||
\(122\) | 1.62841 | + | 1.55803i | 0.147429 | + | 0.141058i | ||||
\(123\) | −4.67267 | − | 9.20566i | −0.421321 | − | 0.830047i | ||||
\(124\) | 10.9028 | − | 5.09115i | 0.979101 | − | 0.457198i | ||||
\(125\) | −4.97655 | − | 7.44793i | −0.445116 | − | 0.666163i | ||||
\(126\) | −12.2808 | + | 11.7928i | −1.09406 | + | 1.05059i | ||||
\(127\) | 4.30331i | 0.381857i | 0.981604 | + | 0.190928i | \(0.0611498\pi\) | ||||
−0.981604 | + | 0.190928i | \(0.938850\pi\) | |||||||
\(128\) | 11.3038 | + | 0.472389i | 0.999128 | + | 0.0417537i | ||||
\(129\) | −3.69696 | − | 13.1861i | −0.325499 | − | 1.16097i | ||||
\(130\) | 6.92525 | − | 1.53723i | 0.607384 | − | 0.134824i | ||||
\(131\) | −0.418316 | + | 0.279510i | −0.0365484 | + | 0.0244209i | −0.573710 | − | 0.819058i | \(-0.694496\pi\) |
0.537162 | + | 0.843479i | \(0.319496\pi\) | |||||||
\(132\) | −11.8345 | − | 13.7627i | −1.03006 | − | 1.19789i | ||||
\(133\) | 8.82396 | − | 1.75520i | 0.765135 | − | 0.152195i | ||||
\(134\) | 10.2635 | − | 10.7271i | 0.886634 | − | 0.926684i | ||||
\(135\) | 1.80997 | − | 4.83718i | 0.155777 | − | 0.416318i | ||||
\(136\) | 2.71195 | + | 0.354827i | 0.232547 | + | 0.0304261i | ||||
\(137\) | 4.55661 | + | 1.88741i | 0.389298 | + | 0.161252i | 0.568742 | − | 0.822516i | \(-0.307430\pi\) |
−0.179445 | + | 0.983768i | \(0.557430\pi\) | |||||||
\(138\) | 9.98953 | + | 12.1498i | 0.850365 | + | 1.03426i | ||||
\(139\) | 18.9938 | + | 12.6912i | 1.61103 | + | 1.07646i | 0.943241 | + | 0.332109i | \(0.107760\pi\) |
0.667792 | + | 0.744348i | \(0.267240\pi\) | |||||||
\(140\) | 6.82237 | + | 4.13494i | 0.576596 | + | 0.349466i | ||||
\(141\) | 1.00138 | − | 0.0772588i | 0.0843317 | − | 0.00650637i | ||||
\(142\) | −7.53280 | + | 5.27752i | −0.632139 | + | 0.442880i | ||||
\(143\) | −18.6982 | + | 18.6982i | −1.56362 | + | 1.56362i | ||||
\(144\) | −10.2735 | − | 6.20115i | −0.856129 | − | 0.516763i | ||||
\(145\) | 2.57033 | + | 2.57033i | 0.213454 | + | 0.213454i | ||||
\(146\) | 0.204855 | + | 0.0360651i | 0.0169539 | + | 0.00298477i | ||||
\(147\) | 1.21309 | + | 15.7234i | 0.100054 | + | 1.29684i | ||||
\(148\) | 7.10830 | + | 9.68366i | 0.584299 | + | 0.795992i | ||||
\(149\) | 0.484782 | − | 0.725528i | 0.0397149 | − | 0.0594375i | −0.811081 | − | 0.584934i | \(-0.801120\pi\) |
0.850796 | + | 0.525496i | \(0.176120\pi\) | |||||||
\(150\) | 9.78105 | + | 0.954381i | 0.798620 | + | 0.0779249i | ||||
\(151\) | 6.03653 | − | 14.5735i | 0.491246 | − | 1.18597i | −0.462840 | − | 0.886442i | \(-0.653170\pi\) |
0.954086 | − | 0.299531i | \(-0.0968303\pi\) | |||||||
\(152\) | 2.80909 | + | 5.68480i | 0.227847 | + | 0.461098i | ||||
\(153\) | −2.34167 | − | 1.71237i | −0.189313 | − | 0.138437i | ||||
\(154\) | −29.7306 | + | 0.656659i | −2.39576 | + | 0.0529151i | ||||
\(155\) | 1.16665 | + | 5.86515i | 0.0937077 | + | 0.471101i | ||||
\(156\) | −7.88432 | + | 15.6031i | −0.631251 | + | 1.24925i | ||||
\(157\) | −0.607206 | − | 0.908748i | −0.0484603 | − | 0.0725260i | 0.806448 | − | 0.591305i | \(-0.201387\pi\) |
−0.854909 | + | 0.518779i | \(0.826387\pi\) | |||||||
\(158\) | 0.787119 | − | 1.23626i | 0.0626198 | − | 0.0983514i | ||||
\(159\) | −6.96242 | + | 1.95203i | −0.552156 | + | 0.154806i | ||||
\(160\) | −1.56617 | + | 5.40010i | −0.123817 | + | 0.426916i | ||||
\(161\) | 25.7697 | 2.03094 | ||||||||
\(162\) | 6.39516 | + | 11.0046i | 0.502451 | + | 0.864606i | ||||
\(163\) | −0.673986 | + | 0.450343i | −0.0527906 | + | 0.0352736i | −0.581686 | − | 0.813414i | \(-0.697607\pi\) |
0.528895 | + | 0.848687i | \(0.322607\pi\) | |||||||
\(164\) | −0.526330 | − | 11.9091i | −0.0410995 | − | 0.929946i | ||||
\(165\) | 8.04382 | − | 4.08293i | 0.626210 | − | 0.317856i | ||||
\(166\) | −10.0471 | + | 0.221909i | −0.779803 | + | 0.0172235i | ||||
\(167\) | −7.64654 | + | 3.16730i | −0.591707 | + | 0.245093i | −0.658385 | − | 0.752681i | \(-0.728760\pi\) |
0.0666777 | + | 0.997775i | \(0.478760\pi\) | |||||||
\(168\) | −18.5372 | + | 6.54894i | −1.43018 | + | 0.505262i | ||||
\(169\) | 11.5192 | + | 4.77139i | 0.886090 | + | 0.367030i | ||||
\(170\) | −0.492309 | + | 1.26697i | −0.0377583 | + | 0.0971721i | ||||
\(171\) | 0.284748 | − | 6.71959i | 0.0217752 | − | 0.513860i | ||||
\(172\) | 2.39721 | − | 15.6304i | 0.182785 | − | 1.19181i | ||||
\(173\) | 4.87296 | + | 0.969292i | 0.370484 | + | 0.0736939i | 0.376821 | − | 0.926286i | \(-0.377017\pi\) |
−0.00633687 | + | 0.999980i | \(0.502017\pi\) | |||||||
\(174\) | −8.91412 | + | 0.886139i | −0.675778 | + | 0.0671780i | ||||
\(175\) | 11.3850 | − | 11.3850i | 0.860622 | − | 0.860622i | ||||
\(176\) | −5.88647 | − | 20.1156i | −0.443710 | − | 1.51627i | ||||
\(177\) | 0.579256 | − | 1.03061i | 0.0435396 | − | 0.0774654i | ||||
\(178\) | −10.6694 | + | 7.47504i | −0.799706 | + | 0.560278i | ||||
\(179\) | −7.27280 | − | 1.44665i | −0.543595 | − | 0.108128i | −0.0843477 | − | 0.996436i | \(-0.526881\pi\) |
−0.459247 | + | 0.888309i | \(0.651881\pi\) | |||||||
\(180\) | 4.20931 | − | 4.22463i | 0.313743 | − | 0.314885i | ||||
\(181\) | −5.17210 | + | 7.74060i | −0.384439 | + | 0.575354i | −0.972337 | − | 0.233581i | \(-0.924956\pi\) |
0.587898 | + | 0.808935i | \(0.299956\pi\) | |||||||
\(182\) | 11.5422 | + | 26.2127i | 0.855565 | + | 1.94301i | ||||
\(183\) | 0.328650 | − | 2.74058i | 0.0242945 | − | 0.202589i | ||||
\(184\) | 4.71484 | + | 17.5399i | 0.347583 | + | 1.29306i | ||||
\(185\) | −5.51550 | + | 2.28460i | −0.405508 | + | 0.167967i | ||||
\(186\) | −13.0034 | − | 6.93528i | −0.953455 | − | 0.508520i | ||||
\(187\) | −0.988492 | − | 4.96948i | −0.0722857 | − | 0.363405i | ||||
\(188\) | 1.09001 | + | 0.396071i | 0.0794968 | + | 0.0288865i | ||||
\(189\) | 20.5806 | + | 3.35720i | 1.49702 | + | 0.244201i | ||||
\(190\) | −3.07643 | + | 0.682889i | −0.223187 | + | 0.0495419i | ||||
\(191\) | −18.7379 | −1.35583 | −0.677915 | − | 0.735140i | \(-0.737116\pi\) | ||||
−0.677915 | + | 0.735140i | \(0.737116\pi\) | |||||||
\(192\) | −7.84904 | − | 11.4190i | −0.566456 | − | 0.824092i | ||||
\(193\) | 10.3487 | 0.744917 | 0.372458 | − | 0.928049i | \(-0.378515\pi\) | ||||
0.372458 | + | 0.928049i | \(0.378515\pi\) | |||||||
\(194\) | 9.95357 | − | 2.20944i | 0.714625 | − | 0.158628i | ||||
\(195\) | −6.59779 | − | 5.65264i | −0.472477 | − | 0.404794i | ||||
\(196\) | −6.21898 | + | 17.1149i | −0.444213 | + | 1.22249i | ||||
\(197\) | 0.499551 | + | 2.51141i | 0.0355916 | + | 0.178931i | 0.994492 | − | 0.104812i | \(-0.0334239\pi\) |
−0.958901 | + | 0.283742i | \(0.908424\pi\) | |||||||
\(198\) | −4.77795 | + | 21.7111i | −0.339554 | + | 1.54294i | ||||
\(199\) | −21.9191 | + | 9.07919i | −1.55380 | + | 0.643606i | −0.983999 | − | 0.178174i | \(-0.942981\pi\) |
−0.569804 | + | 0.821780i | \(0.692981\pi\) | |||||||
\(200\) | 9.83204 | + | 5.66605i | 0.695230 | + | 0.400650i | ||||
\(201\) | −18.0535 | − | 2.16498i | −1.27340 | − | 0.152706i | ||||
\(202\) | 5.85259 | + | 13.2914i | 0.411787 | + | 0.935180i | ||||
\(203\) | −8.15372 | + | 12.2029i | −0.572279 | + | 0.856476i | ||||
\(204\) | −1.64656 | − | 2.91713i | −0.115282 | − | 0.204240i | ||||
\(205\) | 5.81048 | + | 1.15578i | 0.405822 | + | 0.0807230i | ||||
\(206\) | 11.6377 | − | 8.15343i | 0.810836 | − | 0.568076i | ||||
\(207\) | 4.55483 | − | 18.7180i | 0.316583 | − | 1.30099i | ||||
\(208\) | −15.7296 | + | 12.6520i | −1.09065 | + | 0.877255i | ||||
\(209\) | 8.30637 | − | 8.30637i | 0.574564 | − | 0.574564i | ||||
\(210\) | −0.966512 | − | 9.72264i | −0.0666957 | − | 0.670926i | ||||
\(211\) | 5.82420 | + | 1.15850i | 0.400954 | + | 0.0797547i | 0.391448 | − | 0.920200i | \(-0.371974\pi\) |
0.00950579 | + | 0.999955i | \(0.496974\pi\) | |||||||
\(212\) | −8.25301 | − | 1.26575i | −0.566819 | − | 0.0869322i | ||||
\(213\) | 10.7080 | + | 3.49747i | 0.733698 | + | 0.239643i | ||||
\(214\) | 9.25940 | − | 23.8293i | 0.632960 | − | 1.62894i | ||||
\(215\) | 7.26053 | + | 3.00741i | 0.495164 | + | 0.205104i | ||||
\(216\) | 1.48040 | + | 14.6222i | 0.100728 | + | 0.994914i | ||||
\(217\) | −22.3067 | + | 9.23973i | −1.51428 | + | 0.627234i | ||||
\(218\) | 8.19889 | − | 0.181089i | 0.555299 | − | 0.0122649i | ||||
\(219\) | −0.115306 | − | 0.227165i | −0.00779165 | − | 0.0153504i | ||||
\(220\) | 10.4061 | − | 0.459902i | 0.701577 | − | 0.0310066i | ||||
\(221\) | −4.05759 | + | 2.71119i | −0.272943 | + | 0.182375i | ||||
\(222\) | 4.25797 | − | 14.0827i | 0.285776 | − | 0.945167i | ||||
\(223\) | −3.73785 | −0.250305 | −0.125152 | − | 0.992138i | \(-0.539942\pi\) | ||||
−0.125152 | + | 0.992138i | \(0.539942\pi\) | |||||||
\(224\) | −22.6177 | − | 1.94840i | −1.51121 | − | 0.130183i | ||||
\(225\) | −6.25725 | − | 10.2819i | −0.417150 | − | 0.685457i | ||||
\(226\) | 8.13204 | − | 12.7723i | 0.540935 | − | 0.849598i | ||||
\(227\) | −1.99547 | − | 2.98643i | −0.132444 | − | 0.198216i | 0.759320 | − | 0.650717i | \(-0.225532\pi\) |
−0.891764 | + | 0.452501i | \(0.850532\pi\) | |||||||
\(228\) | 3.50248 | − | 6.93142i | 0.231957 | − | 0.459044i | ||||
\(229\) | −5.43450 | − | 27.3211i | −0.359122 | − | 1.80543i | −0.563030 | − | 0.826437i | \(-0.690364\pi\) |
0.203908 | − | 0.978990i | \(-0.434636\pi\) | |||||||
\(230\) | −9.02412 | + | 0.199315i | −0.595033 | + | 0.0131425i | ||||
\(231\) | 22.5041 | + | 28.6369i | 1.48066 | + | 1.88417i | ||||
\(232\) | −9.79758 | − | 3.31709i | −0.643243 | − | 0.217778i | ||||
\(233\) | −9.69909 | + | 23.4157i | −0.635408 | + | 1.53401i | 0.197325 | + | 0.980338i | \(0.436774\pi\) |
−0.832734 | + | 0.553674i | \(0.813226\pi\) | |||||||
\(234\) | 21.0799 | − | 3.75064i | 1.37803 | − | 0.245187i | ||||
\(235\) | −0.320208 | + | 0.479225i | −0.0208881 | + | 0.0312612i | ||||
\(236\) | 1.10047 | − | 0.807805i | 0.0716348 | − | 0.0525836i | ||||
\(237\) | −1.78963 | + | 0.138074i | −0.116249 | + | 0.00896884i | ||||
\(238\) | −5.40490 | − | 0.951543i | −0.350347 | − | 0.0616793i | ||||
\(239\) | −0.877531 | − | 0.877531i | −0.0567628 | − | 0.0567628i | 0.678156 | − | 0.734918i | \(-0.262780\pi\) |
−0.734918 | + | 0.678156i | \(0.762780\pi\) | |||||||
\(240\) | 6.44077 | − | 2.43670i | 0.415750 | − | 0.157289i | ||||
\(241\) | 1.37915 | − | 1.37915i | 0.0888390 | − | 0.0888390i | −0.661291 | − | 0.750130i | \(-0.729991\pi\) |
0.750130 | + | 0.661291i | \(0.229991\pi\) | |||||||
\(242\) | −19.0595 | + | 13.3532i | −1.22519 | + | 0.858377i | ||||
\(243\) | 6.07618 | − | 14.3555i | 0.389787 | − | 0.920905i | ||||
\(244\) | 1.65199 | − | 2.72567i | 0.105758 | − | 0.174493i | ||||
\(245\) | −7.52464 | − | 5.02780i | −0.480732 | − | 0.321215i | ||||
\(246\) | −11.2774 | + | 9.27231i | −0.719023 | + | 0.591181i | ||||
\(247\) | −10.4526 | − | 4.32962i | −0.665085 | − | 0.275487i | ||||
\(248\) | −10.3702 | − | 13.4923i | −0.658506 | − | 0.856761i | ||||
\(249\) | 7.60496 | + | 9.67747i | 0.481945 | + | 0.613285i | ||||
\(250\) | −8.75756 | + | 9.15316i | −0.553877 | + | 0.578897i | ||||
\(251\) | 21.1556 | − | 4.20812i | 1.33533 | − | 0.265614i | 0.524759 | − | 0.851251i | \(-0.324155\pi\) |
0.810574 | + | 0.585637i | \(0.199155\pi\) | |||||||
\(252\) | 20.0448 | + | 13.3409i | 1.26271 | + | 0.840400i | ||||
\(253\) | 27.9764 | − | 18.6933i | 1.75886 | − | 1.17524i | ||||
\(254\) | 5.94118 | − | 1.31879i | 0.372783 | − | 0.0827484i | ||||
\(255\) | 1.60293 | − | 0.449410i | 0.100380 | − | 0.0281432i | ||||
\(256\) | −2.81199 | − | 15.7510i | −0.175750 | − | 0.984435i | ||||
\(257\) | 11.0021i | 0.686292i | 0.939282 | + | 0.343146i | \(0.111493\pi\) | ||||
−0.939282 | + | 0.343146i | \(0.888507\pi\) | |||||||
\(258\) | −17.0719 | + | 9.14508i | −1.06285 | + | 0.569348i | ||||
\(259\) | −13.3913 | − | 20.0415i | −0.832095 | − | 1.24532i | ||||
\(260\) | −4.24462 | − | 9.08996i | −0.263240 | − | 0.563735i | ||||
\(261\) | 7.42250 | + | 8.07940i | 0.459441 | + | 0.500102i | ||||
\(262\) | 0.514091 | + | 0.491872i | 0.0317607 | + | 0.0303880i | ||||
\(263\) | 3.70327 | + | 8.94049i | 0.228354 | + | 0.551294i | 0.995977 | − | 0.0896065i | \(-0.0285609\pi\) |
−0.767624 | + | 0.640901i | \(0.778561\pi\) | |||||||
\(264\) | −15.3740 | + | 20.5566i | −0.946207 | + | 1.26517i | ||||
\(265\) | 1.58794 | − | 3.83364i | 0.0975467 | − | 0.235498i | ||||
\(266\) | −5.12743 | − | 11.6445i | −0.314383 | − | 0.713973i | ||||
\(267\) | 15.1667 | + | 4.95380i | 0.928187 | + | 0.303168i | ||||
\(268\) | −17.9554 | − | 10.8825i | −1.09680 | − | 0.664753i | ||||
\(269\) | −2.23837 | + | 11.2530i | −0.136476 | + | 0.686109i | 0.850595 | + | 0.525822i | \(0.176242\pi\) |
−0.987070 | + | 0.160287i | \(0.948758\pi\) | |||||||
\(270\) | −7.23294 | − | 1.01646i | −0.440183 | − | 0.0618595i | ||||
\(271\) | 19.6396 | + | 19.6396i | 1.19302 | + | 1.19302i | 0.976214 | + | 0.216808i | \(0.0695646\pi\) |
0.216808 | + | 0.976214i | \(0.430435\pi\) | |||||||
\(272\) | −0.341226 | − | 3.85288i | −0.0206899 | − | 0.233615i | ||||
\(273\) | 17.1871 | − | 30.5793i | 1.04021 | − | 1.85074i | ||||
\(274\) | 1.20936 | − | 6.86932i | 0.0730599 | − | 0.414991i | ||||
\(275\) | 4.10127 | − | 20.6185i | 0.247316 | − | 1.24334i | ||||
\(276\) | 13.7127 | − | 17.5151i | 0.825406 | − | 1.05428i | ||||
\(277\) | 4.66619 | + | 3.11785i | 0.280364 | + | 0.187334i | 0.687800 | − | 0.725901i | \(-0.258577\pi\) |
−0.407435 | + | 0.913234i | \(0.633577\pi\) | |||||||
\(278\) | 11.7008 | − | 30.1124i | 0.701768 | − | 1.80602i | ||||
\(279\) | 2.76861 | + | 17.8358i | 0.165752 | + | 1.06780i | ||||
\(280\) | 3.61795 | − | 10.6862i | 0.216214 | − | 0.638624i | ||||
\(281\) | −7.24049 | − | 17.4801i | −0.431931 | − | 1.04277i | −0.978664 | − | 0.205467i | \(-0.934129\pi\) |
0.546733 | − | 0.837307i | \(-0.315871\pi\) | |||||||
\(282\) | −0.413549 | − | 1.35884i | −0.0246265 | − | 0.0809179i | ||||
\(283\) | 0.419792 | − | 0.0835019i | 0.0249541 | − | 0.00496367i | −0.182598 | − | 0.983188i | \(-0.558451\pi\) |
0.207552 | + | 0.978224i | \(0.433451\pi\) | |||||||
\(284\) | 9.59470 | + | 8.78251i | 0.569341 | + | 0.521146i | ||||
\(285\) | 2.93096 | + | 2.51109i | 0.173615 | + | 0.148744i | ||||
\(286\) | 31.5452 | + | 20.0847i | 1.86531 | + | 1.18763i | ||||
\(287\) | 23.9195i | 1.41192i | ||||||||
\(288\) | −5.41294 | + | 16.0842i | −0.318961 | + | 0.947768i | ||||
\(289\) | 16.0649i | 0.944996i | ||||||||
\(290\) | 2.76091 | − | 4.33632i | 0.162126 | − | 0.254637i | ||||
\(291\) | −9.48292 | − | 8.12447i | −0.555898 | − | 0.476265i | ||||
\(292\) | −0.0129880 | − | 0.293877i | −0.000760068 | − | 0.0171979i | ||||
\(293\) | 8.13084 | − | 1.61732i | 0.475009 | − | 0.0944851i | 0.0482204 | − | 0.998837i | \(-0.484645\pi\) |
0.426788 | + | 0.904352i | \(0.359645\pi\) | |||||||
\(294\) | 21.3361 | − | 6.49340i | 1.24435 | − | 0.378703i | ||||
\(295\) | 0.259627 | + | 0.626795i | 0.0151161 | + | 0.0364934i | ||||
\(296\) | 11.1909 | − | 12.7814i | 0.650460 | − | 0.742906i | ||||
\(297\) | 24.7783 | − | 11.2844i | 1.43778 | − | 0.654788i | ||||
\(298\) | −1.15024 | − | 0.446949i | −0.0666314 | − | 0.0258911i | ||||
\(299\) | −26.9449 | − | 18.0040i | −1.55826 | − | 1.04120i | ||||
\(300\) | −1.67988 | − | 13.7963i | −0.0969876 | − | 0.796529i | ||||
\(301\) | −6.19017 | + | 31.1201i | −0.356795 | + | 1.79373i | ||||
\(302\) | −21.9702 | − | 3.86790i | −1.26425 | − | 0.222573i | ||||
\(303\) | 8.71492 | − | 15.5055i | 0.500659 | − | 0.890770i | ||||
\(304\) | 6.98761 | − | 5.62042i | 0.400767 | − | 0.322353i | ||||
\(305\) | 1.12004 | + | 1.12004i | 0.0641331 | + | 0.0641331i | ||||
\(306\) | −1.64648 | + | 3.75770i | −0.0941232 | + | 0.214814i | ||||
\(307\) | 3.00071 | − | 15.0856i | 0.171260 | − | 0.860981i | −0.795629 | − | 0.605784i | \(-0.792860\pi\) |
0.966889 | − | 0.255197i | \(-0.0821404\pi\) | |||||||
\(308\) | 10.0178 | + | 40.8451i | 0.570819 | + | 2.32736i | ||||
\(309\) | −16.5431 | − | 5.40337i | −0.941105 | − | 0.307387i | ||||
\(310\) | 7.73995 | − | 3.40813i | 0.439600 | − | 0.193569i | ||||
\(311\) | 3.32454 | − | 8.02614i | 0.188517 | − | 0.455121i | −0.801157 | − | 0.598454i | \(-0.795782\pi\) |
0.989674 | + | 0.143333i | \(0.0457820\pi\) | |||||||
\(312\) | 23.9580 | + | 6.10343i | 1.35636 | + | 0.345539i | ||||
\(313\) | −5.93757 | − | 14.3346i | −0.335611 | − | 0.810238i | −0.998126 | − | 0.0611888i | \(-0.980511\pi\) |
0.662515 | − | 0.749049i | \(-0.269489\pi\) | |||||||
\(314\) | −1.06854 | + | 1.11681i | −0.0603013 | + | 0.0630252i | ||||
\(315\) | −8.81221 | + | 8.09572i | −0.496512 | + | 0.456142i | ||||
\(316\) | −1.94801 | − | 0.707841i | −0.109584 | − | 0.0398191i | ||||
\(317\) | −4.58817 | − | 6.86668i | −0.257697 | − | 0.385671i | 0.679951 | − | 0.733258i | \(-0.262001\pi\) |
−0.937648 | + | 0.347587i | \(0.887001\pi\) | |||||||
\(318\) | 4.82870 | + | 9.01416i | 0.270780 | + | 0.505489i | ||||
\(319\) | 19.1626i | 1.07290i | ||||||||
\(320\) | 7.93540 | + | 0.507359i | 0.443603 | + | 0.0283622i | ||||
\(321\) | −30.1482 | + | 8.45257i | −1.68271 | + | 0.471776i | ||||
\(322\) | −7.89739 | − | 35.5779i | −0.440104 | − | 1.98268i | ||||
\(323\) | 1.80252 | − | 1.20440i | 0.100295 | − | 0.0670147i | ||||
\(324\) | 13.2332 | − | 12.2017i | 0.735180 | − | 0.677872i | ||||
\(325\) | −19.8583 | + | 3.95005i | −1.10154 | + | 0.219110i | ||||
\(326\) | 0.828297 | + | 0.792499i | 0.0458751 | + | 0.0438924i | ||||
\(327\) | −6.20602 | − | 7.89729i | −0.343194 | − | 0.436721i | ||||
\(328\) | −16.2805 | + | 4.37633i | −0.898943 | + | 0.241642i | ||||
\(329\) | −2.14992 | − | 0.890527i | −0.118529 | − | 0.0490963i | ||||
\(330\) | −8.10205 | − | 9.85411i | −0.446003 | − | 0.542451i | ||||
\(331\) | −16.8218 | − | 11.2399i | −0.924607 | − | 0.617803i | −0.000526305 | − | 1.00000i | \(-0.500168\pi\) |
−0.924081 | + | 0.382197i | \(0.875168\pi\) | |||||||
\(332\) | 3.38539 | + | 13.8031i | 0.185798 | + | 0.757541i | ||||
\(333\) | −16.9242 | + | 6.18451i | −0.927442 | + | 0.338909i | ||||
\(334\) | 6.71617 | + | 9.58623i | 0.367492 | + | 0.524535i | ||||
\(335\) | 7.37823 | − | 7.37823i | 0.403116 | − | 0.403116i | ||||
\(336\) | 14.7225 | + | 23.5857i | 0.803176 | + | 1.28670i | ||||
\(337\) | −10.4562 | − | 10.4562i | −0.569588 | − | 0.569588i | 0.362425 | − | 0.932013i | \(-0.381949\pi\) |
−0.932013 | + | 0.362425i | \(0.881949\pi\) | |||||||
\(338\) | 3.05727 | − | 17.3657i | 0.166293 | − | 0.944570i | ||||
\(339\) | −18.4894 | + | 1.42649i | −1.00420 | + | 0.0774764i | ||||
\(340\) | 1.90006 | + | 0.291410i | 0.103045 | + | 0.0158039i | ||||
\(341\) | −17.5144 | + | 26.2121i | −0.948458 | + | 1.41947i | ||||
\(342\) | −9.36439 | + | 1.66616i | −0.506368 | + | 0.0900956i | ||||
\(343\) | 3.23256 | − | 7.80410i | 0.174542 | − | 0.421382i | ||||
\(344\) | −22.3141 | + | 1.48048i | −1.20310 | + | 0.0798221i | ||||
\(345\) | 6.83066 | + | 8.69216i | 0.367751 | + | 0.467970i | ||||
\(346\) | −0.155155 | − | 7.02471i | −0.00834116 | − | 0.377650i | ||||
\(347\) | 0.0191071 | + | 0.0960581i | 0.00102573 | + | 0.00515667i | 0.981295 | − | 0.192511i | \(-0.0616632\pi\) |
−0.980269 | + | 0.197668i | \(0.936663\pi\) | |||||||
\(348\) | 3.95523 | + | 12.0354i | 0.212023 | + | 0.645163i | ||||
\(349\) | 12.5311 | + | 18.7541i | 0.670773 | + | 1.00388i | 0.998256 | + | 0.0590258i | \(0.0187994\pi\) |
−0.327483 | + | 0.944857i | \(0.606201\pi\) | |||||||
\(350\) | −19.2072 | − | 12.2291i | −1.02667 | − | 0.653675i | ||||
\(351\) | −19.1736 | − | 17.8889i | −1.02341 | − | 0.954841i | ||||
\(352\) | −25.9679 | + | 14.2916i | −1.38409 | + | 0.761743i | ||||
\(353\) | −29.0761 | −1.54757 | −0.773783 | − | 0.633450i | \(-0.781638\pi\) | ||||
−0.773783 | + | 0.633450i | \(0.781638\pi\) | |||||||
\(354\) | −1.60039 | − | 0.483886i | −0.0850597 | − | 0.0257182i | ||||
\(355\) | −5.37489 | + | 3.59139i | −0.285269 | + | 0.190611i | ||||
\(356\) | 13.5899 | + | 12.4395i | 0.720261 | + | 0.659291i | ||||
\(357\) | 3.04223 | + | 5.99352i | 0.161012 | + | 0.317211i | ||||
\(358\) | 0.231565 | + | 10.4842i | 0.0122386 | + | 0.554109i | ||||
\(359\) | −15.5113 | + | 6.42500i | −0.818656 | + | 0.339099i | −0.752402 | − | 0.658704i | \(-0.771105\pi\) |
−0.0662543 | + | 0.997803i | \(0.521105\pi\) | |||||||
\(360\) | −7.12255 | − | 4.51673i | −0.375391 | − | 0.238053i | ||||
\(361\) | −12.9103 | − | 5.34762i | −0.679489 | − | 0.281454i | ||||
\(362\) | 12.2718 | + | 4.76847i | 0.644991 | + | 0.250625i | ||||
\(363\) | 27.0934 | + | 8.84933i | 1.42203 | + | 0.464469i | ||||
\(364\) | 32.6522 | − | 23.9684i | 1.71144 | − | 1.25629i | ||||
\(365\) | 0.143383 | + | 0.0285207i | 0.00750502 | + | 0.00149284i | ||||
\(366\) | −3.88439 | + | 0.386141i | −0.203040 | + | 0.0201839i | ||||
\(367\) | −17.7815 | + | 17.7815i | −0.928188 | + | 0.928188i | −0.997589 | − | 0.0694007i | \(-0.977891\pi\) |
0.0694007 | + | 0.997589i | \(0.477891\pi\) | |||||||
\(368\) | 22.7708 | − | 11.8846i | 1.18701 | − | 0.619529i | ||||
\(369\) | 17.3741 | + | 4.22781i | 0.904461 | + | 0.220091i | ||||
\(370\) | 4.84442 | + | 6.91462i | 0.251849 | + | 0.359474i | ||||
\(371\) | 16.4317 | + | 3.26848i | 0.853093 | + | 0.169691i | ||||
\(372\) | −5.58989 | + | 20.0780i | −0.289822 | + | 1.04100i | ||||
\(373\) | 14.2133 | − | 21.2718i | 0.735939 | − | 1.10141i | −0.254980 | − | 0.966946i | \(-0.582069\pi\) |
0.990919 | − | 0.134464i | \(-0.0429311\pi\) | |||||||
\(374\) | −6.55798 | + | 2.88767i | −0.339105 | + | 0.149318i | ||||
\(375\) | 15.4046 | + | 1.84731i | 0.795488 | + | 0.0953948i | ||||
\(376\) | 0.212776 | − | 1.62625i | 0.0109731 | − | 0.0838675i | ||||
\(377\) | 17.0511 | − | 7.06281i | 0.878178 | − | 0.363753i | ||||
\(378\) | −1.67215 | − | 29.4426i | −0.0860060 | − | 1.51436i | ||||
\(379\) | −6.08068 | − | 30.5696i | −0.312343 | − | 1.57026i | −0.743975 | − | 0.668207i | \(-0.767062\pi\) |
0.431632 | − | 0.902050i | \(-0.357938\pi\) | |||||||
\(380\) | 1.88560 | + | 4.03807i | 0.0967295 | + | 0.207148i | ||||
\(381\) | −5.66026 | − | 4.84941i | −0.289984 | − | 0.248443i | ||||
\(382\) | 5.74243 | + | 25.8698i | 0.293808 | + | 1.32361i | ||||
\(383\) | 36.2148 | 1.85049 | 0.925244 | − | 0.379371i | \(-0.123860\pi\) | ||||
0.925244 | + | 0.379371i | \(0.123860\pi\) | |||||||
\(384\) | −13.3597 | + | 14.3359i | −0.681759 | + | 0.731577i | ||||
\(385\) | −20.9006 | −1.06519 | ||||||||
\(386\) | −3.17147 | − | 14.2875i | −0.161424 | − | 0.727216i | ||||
\(387\) | 21.5102 | + | 9.99680i | 1.09342 | + | 0.508166i | ||||
\(388\) | −6.10074 | − | 13.0649i | −0.309718 | − | 0.663269i | ||||
\(389\) | −3.80380 | − | 19.1230i | −0.192861 | − | 0.969575i | −0.949027 | − | 0.315196i | \(-0.897930\pi\) |
0.756166 | − | 0.654380i | \(-0.227070\pi\) | |||||||
\(390\) | −5.78213 | + | 10.8413i | −0.292790 | + | 0.548969i | ||||
\(391\) | 5.73677 | − | 2.37625i | 0.290121 | − | 0.120172i | ||||
\(392\) | 25.5349 | + | 3.34094i | 1.28971 | + | 0.168743i | ||||
\(393\) | 0.103755 | − | 0.865204i | 0.00523375 | − | 0.0436437i | ||||
\(394\) | 3.31419 | − | 1.45933i | 0.166966 | − | 0.0735202i | ||||
\(395\) | 0.572262 | − | 0.856450i | 0.0287936 | − | 0.0430927i | ||||
\(396\) | 31.4388 | − | 0.0571033i | 1.57986 | − | 0.00286955i | ||||
\(397\) | −21.5746 | − | 4.29146i | −1.08280 | − | 0.215382i | −0.378726 | − | 0.925509i | \(-0.623638\pi\) |
−0.704074 | + | 0.710127i | \(0.748638\pi\) | |||||||
\(398\) | 19.2521 | + | 27.4793i | 0.965022 | + | 1.37741i | ||||
\(399\) | −7.63511 | + | 13.5843i | −0.382233 | + | 0.680068i | ||||
\(400\) | 4.80947 | − | 15.3106i | 0.240473 | − | 0.765531i | ||||
\(401\) | −24.9191 | + | 24.9191i | −1.24440 | + | 1.24440i | −0.286245 | + | 0.958157i | \(0.592407\pi\) |
−0.958157 | + | 0.286245i | \(0.907593\pi\) | |||||||
\(402\) | 2.54370 | + | 25.5884i | 0.126868 | + | 1.27623i | ||||
\(403\) | 29.7793 | + | 5.92347i | 1.48341 | + | 0.295069i | ||||
\(404\) | 16.5567 | − | 12.1534i | 0.823724 | − | 0.604656i | ||||
\(405\) | 4.32282 | + | 7.83174i | 0.214803 | + | 0.389163i | ||||
\(406\) | 19.3462 | + | 7.51740i | 0.960138 | + | 0.373082i | ||||
\(407\) | −29.0761 | − | 12.0437i | −1.44125 | − | 0.596984i | ||||
\(408\) | −3.52282 | + | 3.16724i | −0.174405 | + | 0.156802i | ||||
\(409\) | −32.8827 | + | 13.6204i | −1.62594 | + | 0.673488i | −0.994769 | − | 0.102153i | \(-0.967427\pi\) |
−0.631175 | + | 0.775641i | \(0.717427\pi\) | |||||||
\(410\) | −0.185005 | − | 8.37621i | −0.00913675 | − | 0.413671i | ||||
\(411\) | −7.61743 | + | 3.86651i | −0.375740 | + | 0.190721i | ||||
\(412\) | −14.8232 | − | 13.5684i | −0.730286 | − | 0.668467i | ||||
\(413\) | −2.27757 | + | 1.52182i | −0.112072 | + | 0.0748839i | ||||
\(414\) | −27.2382 | − | 0.552113i | −1.33868 | − | 0.0271349i | ||||
\(415\) | −7.06309 | −0.346713 | ||||||||
\(416\) | 22.2879 | + | 17.8391i | 1.09275 | + | 0.874634i | ||||
\(417\) | −38.0973 | + | 10.6812i | −1.86563 | + | 0.523063i | ||||
\(418\) | −14.0134 | − | 8.92228i | −0.685419 | − | 0.436403i | ||||
\(419\) | 21.0879 | + | 31.5602i | 1.03021 | + | 1.54182i | 0.826619 | + | 0.562763i | \(0.190261\pi\) |
0.203592 | + | 0.979056i | \(0.434739\pi\) | |||||||
\(420\) | −13.1270 | + | 4.31398i | −0.640530 | + | 0.210500i | ||||
\(421\) | 0.323711 | + | 1.62741i | 0.0157767 | + | 0.0793149i | 0.987872 | − | 0.155273i | \(-0.0496258\pi\) |
−0.972095 | + | 0.234588i | \(0.924626\pi\) | |||||||
\(422\) | −0.185442 | − | 8.39597i | −0.00902716 | − | 0.408710i | ||||
\(423\) | −1.02684 | + | 1.40421i | −0.0499268 | + | 0.0682751i | ||||
\(424\) | 0.781709 | + | 11.7821i | 0.0379631 | + | 0.572188i | ||||
\(425\) | 1.48467 | − | 3.58430i | 0.0720169 | − | 0.173864i | ||||
\(426\) | 1.54708 | − | 15.8554i | 0.0749562 | − | 0.768195i | ||||
\(427\) | −3.55304 | + | 5.31750i | −0.171944 | + | 0.257332i | ||||
\(428\) | −35.7366 | − | 5.48088i | −1.72740 | − | 0.264928i | ||||
\(429\) | −3.52318 | − | 45.6654i | −0.170101 | − | 2.20474i | ||||
\(430\) | 1.92699 | − | 10.9456i | 0.0929279 | − | 0.527844i | ||||
\(431\) | −8.48020 | − | 8.48020i | −0.408477 | − | 0.408477i | 0.472730 | − | 0.881207i | \(-0.343268\pi\) |
−0.881207 | + | 0.472730i | \(0.843268\pi\) | |||||||
\(432\) | 19.7338 | − | 6.52497i | 0.949445 | − | 0.313933i | ||||
\(433\) | 7.39431 | − | 7.39431i | 0.355348 | − | 0.355348i | −0.506747 | − | 0.862095i | \(-0.669152\pi\) |
0.862095 | + | 0.506747i | \(0.169152\pi\) | |||||||
\(434\) | 19.5926 | + | 27.9652i | 0.940473 | + | 1.34237i | ||||
\(435\) | −6.27733 | + | 0.484309i | −0.300975 | + | 0.0232208i | ||||
\(436\) | −2.76265 | − | 11.2640i | −0.132307 | − | 0.539447i | ||||
\(437\) | 11.9698 | + | 7.99798i | 0.572595 | + | 0.382596i | ||||
\(438\) | −0.278289 | + | 0.228809i | −0.0132972 | + | 0.0109329i | ||||
\(439\) | 15.1087 | + | 6.25824i | 0.721100 | + | 0.298689i | 0.712889 | − | 0.701277i | \(-0.247386\pi\) |
0.00821108 | + | 0.999966i | \(0.497386\pi\) | |||||||
\(440\) | −3.82399 | − | 14.2258i | −0.182302 | − | 0.678187i | ||||
\(441\) | −22.0485 | − | 16.1232i | −1.04993 | − | 0.767769i | ||||
\(442\) | 4.98659 | + | 4.77107i | 0.237188 | + | 0.226937i | ||||
\(443\) | 35.7076 | − | 7.10267i | 1.69652 | − | 0.337458i | 0.750326 | − | 0.661067i | \(-0.229896\pi\) |
0.946191 | + | 0.323609i | \(0.104896\pi\) | |||||||
\(444\) | −20.7476 | − | 1.56281i | −0.984635 | − | 0.0741679i | ||||
\(445\) | −7.61295 | + | 5.08681i | −0.360889 | + | 0.241138i | ||||
\(446\) | 1.14550 | + | 5.16051i | 0.0542411 | + | 0.244357i | ||||
\(447\) | 0.408004 | + | 1.45525i | 0.0192979 | + | 0.0688309i | ||||
\(448\) | 4.24145 | + | 31.8233i | 0.200390 | + | 1.50351i | ||||
\(449\) | − | 29.1190i | − | 1.37421i | −0.726559 | − | 0.687104i | \(-0.758882\pi\) | ||
0.726559 | − | 0.687104i | \(-0.241118\pi\) | |||||||
\(450\) | −12.2776 | + | 11.7898i | −0.578773 | + | 0.555776i | ||||
\(451\) | 17.3511 | + | 25.9678i | 0.817033 | + | 1.22278i | ||||
\(452\) | −20.1257 | − | 7.31298i | −0.946631 | − | 0.343974i | ||||
\(453\) | 12.3663 | + | 24.3629i | 0.581020 | + | 1.14467i | ||||
\(454\) | −3.51156 | + | 3.67018i | −0.164806 | + | 0.172250i | ||||
\(455\) | 7.70341 | + | 18.5977i | 0.361141 | + | 0.871872i | ||||
\(456\) | −10.6430 | − | 2.71135i | −0.498402 | − | 0.126971i | ||||
\(457\) | 0.159700 | − | 0.385549i | 0.00747044 | − | 0.0180352i | −0.920100 | − | 0.391683i | \(-0.871893\pi\) |
0.927571 | + | 0.373648i | \(0.121893\pi\) | |||||||
\(458\) | −36.0543 | + | 15.8757i | −1.68470 | + | 0.741824i | ||||
\(459\) | 4.89116 | − | 1.15039i | 0.228300 | − | 0.0536954i | ||||
\(460\) | 3.04071 | + | 12.3977i | 0.141774 | + | 0.578046i | ||||
\(461\) | 3.45947 | − | 17.3919i | 0.161124 | − | 0.810023i | −0.812694 | − | 0.582691i | \(-0.802000\pi\) |
0.973817 | − | 0.227332i | \(-0.0730003\pi\) | |||||||
\(462\) | 32.6398 | − | 39.8454i | 1.51854 | − | 1.85378i | ||||
\(463\) | 10.9564 | + | 10.9564i | 0.509187 | + | 0.509187i | 0.914277 | − | 0.405090i | \(-0.132760\pi\) |
−0.405090 | + | 0.914277i | \(0.632760\pi\) | |||||||
\(464\) | −1.57703 | + | 14.5432i | −0.0732120 | + | 0.675151i | ||||
\(465\) | −9.02930 | − | 5.07494i | −0.418724 | − | 0.235345i | ||||
\(466\) | 35.3003 | + | 6.21468i | 1.63525 | + | 0.287890i | ||||
\(467\) | 0.465826 | − | 2.34187i | 0.0215559 | − | 0.108369i | −0.968509 | − | 0.248977i | \(-0.919906\pi\) |
0.990065 | + | 0.140608i | \(0.0449057\pi\) | |||||||
\(468\) | −11.6383 | − | 27.9537i | −0.537981 | − | 1.29216i | ||||
\(469\) | 35.0290 | + | 23.4056i | 1.61749 | + | 1.08077i | ||||
\(470\) | 0.759754 | + | 0.295219i | 0.0350449 | + | 0.0136174i | ||||
\(471\) | 1.87956 | + | 0.225397i | 0.0866058 | + | 0.0103858i | ||||
\(472\) | −1.45251 | − | 1.27177i | −0.0668574 | − | 0.0585378i | ||||
\(473\) | 15.8542 | + | 38.2753i | 0.728975 | + | 1.75990i | ||||
\(474\) | 0.739075 | + | 2.42846i | 0.0339469 | + | 0.111543i | ||||
\(475\) | 8.82170 | − | 1.75475i | 0.404768 | − | 0.0805133i | ||||
\(476\) | 0.342677 | + | 7.75366i | 0.0157066 | + | 0.355388i | ||||
\(477\) | 5.27842 | − | 11.3576i | 0.241682 | − | 0.520029i | ||||
\(478\) | −0.942599 | + | 1.48046i | −0.0431135 | + | 0.0677145i | ||||
\(479\) | − | 27.3126i | − | 1.24794i | −0.781447 | − | 0.623971i | \(-0.785518\pi\) | ||
0.781447 | − | 0.623971i | \(-0.214482\pi\) | |||||||
\(480\) | −5.33798 | − | 8.14543i | −0.243644 | − | 0.371786i | ||||
\(481\) | 30.3113i | 1.38208i | ||||||||
\(482\) | −2.32672 | − | 1.48141i | −0.105979 | − | 0.0674766i | ||||
\(483\) | −29.0400 | + | 33.8956i | −1.32137 | + | 1.54230i | ||||
\(484\) | 24.2766 | + | 22.2215i | 1.10348 | + | 1.01007i | ||||
\(485\) | 7.02824 | − | 1.39800i | 0.319136 | − | 0.0634801i | ||||
\(486\) | −21.6814 | − | 3.98945i | −0.983490 | − | 0.180965i | ||||
\(487\) | −11.7515 | − | 28.3705i | −0.532510 | − | 1.28559i | −0.929856 | − | 0.367924i | \(-0.880069\pi\) |
0.397346 | − | 0.917669i | \(-0.369931\pi\) | |||||||
\(488\) | −4.26936 | − | 1.44544i | −0.193265 | − | 0.0654321i | ||||
\(489\) | 0.167169 | − | 1.39401i | 0.00755964 | − | 0.0630391i | ||||
\(490\) | −4.63543 | + | 11.9294i | −0.209407 | + | 0.538916i | ||||
\(491\) | −7.62054 | − | 5.09188i | −0.343910 | − | 0.229793i | 0.371605 | − | 0.928391i | \(-0.378808\pi\) |
−0.715515 | + | 0.698598i | \(0.753808\pi\) | |||||||
\(492\) | 16.2575 | + | 12.7281i | 0.732946 | + | 0.573829i | ||||
\(493\) | −0.689915 | + | 3.46844i | −0.0310722 | + | 0.156211i | ||||
\(494\) | −2.77420 | + | 15.7579i | −0.124817 | + | 0.708980i | ||||
\(495\) | −3.69421 | + | 15.1813i | −0.166043 | + | 0.682350i | ||||
\(496\) | −15.4495 | + | 18.4520i | −0.693704 | + | 0.828519i | ||||
\(497\) | −18.4553 | − | 18.4553i | −0.827835 | − | 0.827835i | ||||
\(498\) | 11.0302 | − | 13.4652i | 0.494275 | − | 0.603392i | ||||
\(499\) | 7.60310 | − | 38.2234i | 0.340361 | − | 1.71111i | −0.309364 | − | 0.950944i | \(-0.600116\pi\) |
0.649726 | − | 0.760169i | \(-0.274884\pi\) | |||||||
\(500\) | 15.3208 | + | 9.28570i | 0.685166 | + | 0.415269i | ||||
\(501\) | 4.45088 | − | 13.6270i | 0.198851 | − | 0.608807i | ||||
\(502\) | −12.2931 | − | 27.9181i | −0.548669 | − | 1.24604i | ||||
\(503\) | 4.74830 | − | 11.4634i | 0.211716 | − | 0.511129i | −0.781971 | − | 0.623315i | \(-0.785785\pi\) |
0.993687 | + | 0.112186i | \(0.0357854\pi\) | |||||||
\(504\) | 12.2757 | − | 31.7626i | 0.546802 | − | 1.41482i | ||||
\(505\) | 3.90609 | + | 9.43014i | 0.173819 | + | 0.419636i | ||||
\(506\) | −34.3818 | − | 32.8958i | −1.52846 | − | 1.46240i | ||||
\(507\) | −19.2569 | + | 9.77457i | −0.855231 | + | 0.434104i | ||||
\(508\) | −3.64147 | − | 7.79830i | −0.161564 | − | 0.345993i | ||||
\(509\) | 19.2360 | + | 28.7886i | 0.852619 | + | 1.27603i | 0.959485 | + | 0.281761i | \(0.0909184\pi\) |
−0.106866 | + | 0.994273i | \(0.534082\pi\) | |||||||
\(510\) | −1.11170 | − | 2.07530i | −0.0492267 | − | 0.0918959i | ||||
\(511\) | 0.590253i | 0.0261113i | ||||||||
\(512\) | −20.8842 | + | 8.70931i | −0.922958 | + | 0.384901i | ||||
\(513\) | 8.51758 | + | 7.94687i | 0.376060 | + | 0.350863i | ||||
\(514\) | 15.1896 | − | 3.37171i | 0.669985 | − | 0.148720i | ||||
\(515\) | 8.30385 | − | 5.54846i | 0.365912 | − | 0.244494i | ||||
\(516\) | 17.8576 | + | 20.7671i | 0.786139 | + | 0.914219i | ||||
\(517\) | −2.98001 | + | 0.592761i | −0.131061 | + | 0.0260696i | ||||
\(518\) | −23.5656 | + | 24.6301i | −1.03541 | + | 1.08218i | ||||
\(519\) | −6.76630 | + | 5.31724i | −0.297008 | + | 0.233401i | ||||
\(520\) | −11.2489 | + | 8.64588i | −0.493296 | + | 0.379147i | ||||
\(521\) | 24.9630 | + | 10.3400i | 1.09365 | + | 0.453004i | 0.855278 | − | 0.518170i | \(-0.173386\pi\) |
0.238372 | + | 0.971174i | \(0.423386\pi\) | |||||||
\(522\) | 8.87980 | − | 12.7236i | 0.388658 | − | 0.556896i | ||||
\(523\) | −10.8065 | − | 7.22068i | −0.472536 | − | 0.315738i | 0.296401 | − | 0.955064i | \(-0.404214\pi\) |
−0.768936 | + | 0.639326i | \(0.779214\pi\) | |||||||
\(524\) | 0.521535 | − | 0.860498i | 0.0227834 | − | 0.0375910i | ||||
\(525\) | 2.14519 | + | 27.8047i | 0.0936238 | + | 1.21350i | ||||
\(526\) | 11.2084 | − | 7.85268i | 0.488710 | − | 0.342393i | ||||
\(527\) | −4.11384 | + | 4.11384i | −0.179202 | + | 0.179202i | ||||
\(528\) | 33.0922 | + | 14.9258i | 1.44015 | + | 0.649561i | ||||
\(529\) | 12.8938 | + | 12.8938i | 0.560599 | + | 0.560599i | ||||
\(530\) | −5.77940 | − | 1.01747i | −0.251041 | − | 0.0441962i | ||||
\(531\) | 0.702823 | + | 1.92331i | 0.0304999 | + | 0.0834646i | ||||
\(532\) | −14.5052 | + | 10.6476i | −0.628881 | + | 0.461631i | ||||
\(533\) | 16.7114 | − | 25.0103i | 0.723850 | − | 1.08332i | ||||
\(534\) | 2.19127 | − | 22.4574i | 0.0948256 | − | 0.971828i | ||||
\(535\) | 6.87602 | − | 16.6002i | 0.297276 | − | 0.717688i | ||||
\(536\) | −9.52185 | + | 28.1244i | −0.411281 | + | 1.21479i | ||||
\(537\) | 10.0986 | − | 7.93588i | 0.435785 | − | 0.342458i | ||||
\(538\) | 16.2220 | − | 0.358295i | 0.699380 | − | 0.0154472i | ||||
\(539\) | −9.30734 | − | 46.7912i | −0.400896 | − | 2.01544i | ||||
\(540\) | 0.813281 | + | 10.2974i | 0.0349981 | + | 0.443128i | ||||
\(541\) | 1.36985 | + | 2.05013i | 0.0588947 | + | 0.0881421i | 0.859748 | − | 0.510718i | \(-0.170620\pi\) |
−0.800853 | + | 0.598860i | \(0.795620\pi\) | |||||||
\(542\) | 21.0959 | − | 33.1334i | 0.906146 | − | 1.42320i | ||||
\(543\) | −4.35296 | − | 15.5259i | −0.186803 | − | 0.666281i | ||||
\(544\) | −5.21475 | + | 1.65185i | −0.223580 | + | 0.0708226i | ||||
\(545\) | 5.76383 | 0.246895 | ||||||||
\(546\) | −47.4852 | − | 14.3574i | −2.03218 | − | 0.614440i | ||||
\(547\) | 1.11688 | − | 0.746278i | 0.0477545 | − | 0.0319086i | −0.531464 | − | 0.847081i | \(-0.678358\pi\) |
0.579218 | + | 0.815172i | \(0.303358\pi\) | |||||||
\(548\) | −9.85446 | + | 0.435523i | −0.420962 | + | 0.0186046i | ||||
\(549\) | 3.23440 | + | 3.52065i | 0.138041 | + | 0.150258i | ||||
\(550\) | −29.7230 | + | 0.656491i | −1.26739 | + | 0.0279929i | ||||
\(551\) | −7.57468 | + | 3.13754i | −0.322692 | + | 0.133664i | ||||
\(552\) | −28.3838 | − | 13.5642i | −1.20810 | − | 0.577330i | ||||
\(553\) | 3.84225 | + | 1.59151i | 0.163389 | + | 0.0676779i | ||||
\(554\) | 2.87453 | − | 7.39769i | 0.122127 | − | 0.314298i | ||||
\(555\) | 3.21045 | − | 9.82921i | 0.136276 | − | 0.417227i | ||||
\(556\) | −45.1593 | − | 6.92601i | −1.91518 | − | 0.293728i | ||||
\(557\) | −32.1153 | − | 6.38814i | −1.36077 | − | 0.270674i | −0.539871 | − | 0.841748i | \(-0.681527\pi\) |
−0.820899 | + | 0.571074i | \(0.806527\pi\) | |||||||
\(558\) | 23.7757 | − | 9.28832i | 1.00651 | − | 0.393206i | ||||
\(559\) | 28.2145 | − | 28.2145i | 1.19335 | − | 1.19335i | ||||
\(560\) | −15.8623 | − | 1.72007i | −0.670303 | − | 0.0726863i | ||||
\(561\) | 7.65043 | + | 4.29994i | 0.323002 | + | 0.181544i | ||||
\(562\) | −21.9142 | + | 15.3532i | −0.924396 | + | 0.647637i | ||||
\(563\) | −3.24723 | − | 0.645913i | −0.136854 | − | 0.0272220i | 0.126188 | − | 0.992006i | \(-0.459726\pi\) |
−0.263042 | + | 0.964784i | \(0.584726\pi\) | |||||||
\(564\) | −1.74930 | + | 0.987380i | −0.0736586 | + | 0.0415762i | ||||
\(565\) | 5.91226 | − | 8.84833i | 0.248731 | − | 0.372252i | ||||
\(566\) | −0.243933 | − | 0.553979i | −0.0102533 | − | 0.0232855i | ||||
\(567\) | −27.6082 | + | 23.2870i | −1.15943 | + | 0.977961i | ||||
\(568\) | 9.18482 | − | 15.9380i | 0.385386 | − | 0.668744i | ||||
\(569\) | 13.6962 | − | 5.67316i | 0.574175 | − | 0.237831i | −0.0766510 | − | 0.997058i | \(-0.524423\pi\) |
0.650826 | + | 0.759227i | \(0.274423\pi\) | |||||||
\(570\) | 2.56862 | − | 4.81606i | 0.107588 | − | 0.201723i | ||||
\(571\) | 3.79750 | + | 19.0913i | 0.158920 | + | 0.798947i | 0.975206 | + | 0.221299i | \(0.0710296\pi\) |
−0.816286 | + | 0.577649i | \(0.803970\pi\) | |||||||
\(572\) | 18.0617 | − | 49.7067i | 0.755199 | − | 2.07834i | ||||
\(573\) | 21.1159 | − | 24.6465i | 0.882128 | − | 1.02962i | ||||
\(574\) | 33.0235 | − | 7.33038i | 1.37837 | − | 0.305964i | ||||
\(575\) | 25.7631 | 1.07440 | ||||||||
\(576\) | 23.8648 | + | 2.54400i | 0.994366 | + | 0.106000i | ||||
\(577\) | 38.2782 | 1.59354 | 0.796771 | − | 0.604281i | \(-0.206540\pi\) | ||||
0.796771 | + | 0.604281i | \(0.206540\pi\) | |||||||
\(578\) | 22.1794 | − | 4.92326i | 0.922541 | − | 0.204781i | ||||
\(579\) | −11.6620 | + | 13.6120i | −0.484657 | + | 0.565693i | ||||
\(580\) | −6.83287 | − | 2.48283i | −0.283719 | − | 0.103094i | ||||
\(581\) | −5.56345 | − | 27.9694i | −0.230811 | − | 1.16036i | ||||
\(582\) | −8.31058 | + | 15.5820i | −0.344485 | + | 0.645896i | ||||
\(583\) | 20.2098 | − | 8.37117i | 0.837004 | − | 0.346698i | ||||
\(584\) | −0.401749 | + | 0.107993i | −0.0166245 | + | 0.00446878i | ||||
\(585\) | 14.8702 | − | 2.30827i | 0.614805 | − | 0.0954351i | ||||
\(586\) | −4.72467 | − | 10.7299i | −0.195174 | − | 0.443247i | ||||
\(587\) | −20.6062 | + | 30.8394i | −0.850511 | + | 1.27288i | 0.109802 | + | 0.993954i | \(0.464978\pi\) |
−0.960313 | + | 0.278926i | \(0.910022\pi\) | |||||||
\(588\) | −15.5035 | − | 27.4669i | −0.639354 | − | 1.13271i | ||||
\(589\) | −13.2290 | − | 2.63140i | −0.545090 | − | 0.108425i | ||||
\(590\) | 0.785794 | − | 0.550531i | 0.0323506 | − | 0.0226650i | ||||
\(591\) | −3.86628 | − | 2.17305i | −0.159037 | − | 0.0893873i | ||||
\(592\) | −21.0758 | − | 11.5333i | −0.866208 | − | 0.474016i | ||||
\(593\) | −1.60218 | + | 1.60218i | −0.0657938 | + | 0.0657938i | −0.739238 | − | 0.673444i | \(-0.764814\pi\) |
0.673444 | + | 0.739238i | \(0.264814\pi\) | |||||||
\(594\) | −23.1729 | − | 30.7509i | −0.950796 | − | 1.26173i | ||||
\(595\) | −3.78303 | − | 0.752491i | −0.155089 | − | 0.0308491i | ||||
\(596\) | −0.264561 | + | 1.72500i | −0.0108368 | + | 0.0706587i | ||||
\(597\) | 12.7586 | − | 39.0622i | 0.522175 | − | 1.59871i | ||||
\(598\) | −16.5990 | + | 42.7179i | −0.678782 | + | 1.74686i | ||||
\(599\) | 2.19472 | + | 0.909083i | 0.0896738 | + | 0.0371441i | 0.427069 | − | 0.904219i | \(-0.359546\pi\) |
−0.337396 | + | 0.941363i | \(0.609546\pi\) | |||||||
\(600\) | −18.5325 | + | 6.54727i | −0.756585 | + | 0.267291i | ||||
\(601\) | 17.3626 | − | 7.19182i | 0.708235 | − | 0.293360i | 0.000660854 | − | 1.00000i | \(-0.499790\pi\) |
0.707574 | + | 0.706639i | \(0.249790\pi\) | |||||||
\(602\) | 44.8617 | − | 0.990860i | 1.82843 | − | 0.0403844i | ||||
\(603\) | 23.1923 | − | 21.3066i | 0.944462 | − | 0.867672i | ||||
\(604\) | 1.39294 | + | 31.5177i | 0.0566779 | + | 1.28244i | ||||
\(605\) | −13.5996 | + | 9.08694i | −0.552901 | + | 0.369437i | ||||
\(606\) | −24.0779 | − | 7.28007i | −0.978096 | − | 0.295733i | ||||
\(607\) | 5.07416 | 0.205954 | 0.102977 | − | 0.994684i | \(-0.467163\pi\) | ||||
0.102977 | + | 0.994684i | \(0.467163\pi\) | |||||||
\(608\) | −9.90103 | − | 7.92473i | −0.401540 | − | 0.321390i | ||||
\(609\) | −6.86236 | − | 24.4763i | −0.278077 | − | 0.991831i | ||||
\(610\) | 1.20309 | − | 1.88958i | 0.0487115 | − | 0.0765068i | ||||
\(611\) | 1.62580 | + | 2.43318i | 0.0657728 | + | 0.0984360i | ||||
\(612\) | 5.69250 | + | 1.12156i | 0.230106 | + | 0.0453365i | ||||
\(613\) | 2.85290 | + | 14.3425i | 0.115227 | + | 0.579287i | 0.994655 | + | 0.103255i | \(0.0329256\pi\) |
−0.879428 | + | 0.476033i | \(0.842074\pi\) | |||||||
\(614\) | −21.7469 | + | 0.480324i | −0.877635 | + | 0.0193843i | ||||
\(615\) | −8.06808 | + | 6.34024i | −0.325337 | + | 0.255663i | ||||
\(616\) | 53.3210 | − | 26.3481i | 2.14837 | − | 1.06160i | ||||
\(617\) | 8.24754 | − | 19.9113i | 0.332033 | − | 0.801599i | −0.666397 | − | 0.745597i | \(-0.732165\pi\) |
0.998431 | − | 0.0560025i | \(-0.0178355\pi\) | |||||||
\(618\) | −2.39014 | + | 24.4955i | −0.0961454 | + | 0.985354i | ||||
\(619\) | −4.96359 | + | 7.42854i | −0.199504 | + | 0.298578i | −0.917709 | − | 0.397253i | \(-0.869964\pi\) |
0.718206 | + | 0.695831i | \(0.244964\pi\) | |||||||
\(620\) | −7.07728 | − | 9.64140i | −0.284230 | − | 0.387208i | ||||
\(621\) | 19.4875 | + | 27.0845i | 0.782006 | + | 1.08686i | ||||
\(622\) | −12.0998 | − | 2.13019i | −0.485158 | − | 0.0854130i | ||||
\(623\) | −26.1400 | − | 26.1400i | −1.04728 | − | 1.04728i | ||||
\(624\) | 1.08428 | − | 34.9471i | 0.0434060 | − | 1.39900i | ||||
\(625\) | 7.88915 | − | 7.88915i | 0.315566 | − | 0.315566i | ||||
\(626\) | −17.9708 | + | 12.5904i | −0.718258 | + | 0.503215i | ||||
\(627\) | 1.56511 | + | 20.2861i | 0.0625046 | + | 0.810148i | ||||
\(628\) | 1.86934 | + | 1.13298i | 0.0745949 | + | 0.0452109i | ||||
\(629\) | −4.82918 | − | 3.22675i | −0.192552 | − | 0.128659i | ||||
\(630\) | 13.8776 | + | 9.68520i | 0.552898 | + | 0.385868i | ||||
\(631\) | −30.3756 | − | 12.5820i | −1.20923 | − | 0.500881i | −0.315262 | − | 0.949005i | \(-0.602092\pi\) |
−0.893971 | + | 0.448124i | \(0.852092\pi\) | |||||||
\(632\) | −0.380264 | + | 2.90636i | −0.0151261 | + | 0.115609i | ||||
\(633\) | −8.08712 | + | 6.35520i | −0.321434 | + | 0.252597i | ||||
\(634\) | −8.07411 | + | 8.43883i | −0.320664 | + | 0.335149i | ||||
\(635\) | 4.19509 | − | 0.834455i | 0.166477 | − | 0.0331143i | ||||
\(636\) | 10.9652 | − | 9.42903i | 0.434800 | − | 0.373885i | ||||
\(637\) | −38.2050 | + | 25.5278i | −1.51374 | + | 1.01145i | ||||
\(638\) | 26.4560 | − | 5.87256i | 1.04740 | − | 0.232497i | ||||
\(639\) | −16.6672 | + | 10.1432i | −0.659344 | + | 0.401258i | ||||
\(640\) | −1.73142 | − | 11.1112i | −0.0684404 | − | 0.439208i | ||||
\(641\) | 13.2130i | 0.521881i | 0.965355 | + | 0.260940i | \(0.0840326\pi\) | ||||
−0.965355 | + | 0.260940i | \(0.915967\pi\) | |||||||
\(642\) | 20.9089 | + | 39.0325i | 0.825209 | + | 1.54049i | ||||
\(643\) | −8.38907 | − | 12.5551i | −0.330832 | − | 0.495126i | 0.628343 | − | 0.777936i | \(-0.283733\pi\) |
−0.959176 | + | 0.282810i | \(0.908733\pi\) | |||||||
\(644\) | −46.6989 | + | 21.8064i | −1.84020 | + | 0.859293i | ||||
\(645\) | −12.1376 | + | 6.16091i | −0.477919 | + | 0.242586i | ||||
\(646\) | −2.21521 | − | 2.11947i | −0.0871562 | − | 0.0833894i | ||||
\(647\) | 6.02373 | + | 14.5426i | 0.236817 | + | 0.571727i | 0.996950 | − | 0.0780403i | \(-0.0248663\pi\) |
−0.760133 | + | 0.649767i | \(0.774866\pi\) | |||||||
\(648\) | −20.9012 | − | 14.5306i | −0.821078 | − | 0.570816i | ||||
\(649\) | −1.36868 | + | 3.30428i | −0.0537252 | + | 0.129704i | ||||
\(650\) | 11.5392 | + | 26.2060i | 0.452606 | + | 1.02788i | ||||
\(651\) | 12.9842 | − | 39.7529i | 0.508892 | − | 1.55804i | ||||
\(652\) | 0.840291 | − | 1.38642i | 0.0329083 | − | 0.0542966i | ||||
\(653\) | −3.44866 | + | 17.3376i | −0.134957 | + | 0.678472i | 0.852771 | + | 0.522285i | \(0.174920\pi\) |
−0.987727 | + | 0.156187i | \(0.950080\pi\) | |||||||
\(654\) | −9.00118 | + | 10.9883i | −0.351974 | + | 0.429677i | ||||
\(655\) | 0.353597 | + | 0.353597i | 0.0138162 | + | 0.0138162i | ||||
\(656\) | 11.0313 | + | 21.1359i | 0.430701 | + | 0.825218i | ||||
\(657\) | 0.428735 | + | 0.104328i | 0.0167265 | + | 0.00407022i | ||||
\(658\) | −0.570604 | + | 3.24111i | −0.0222445 | + | 0.126352i | ||||
\(659\) | −9.02750 | + | 45.3843i | −0.351661 | + | 1.76792i | 0.249085 | + | 0.968482i | \(0.419870\pi\) |
−0.600746 | + | 0.799440i | \(0.705130\pi\) | |||||||
\(660\) | −11.1217 | + | 14.2057i | −0.432912 | + | 0.552954i | ||||
\(661\) | −17.0665 | − | 11.4035i | −0.663809 | − | 0.443543i | 0.177483 | − | 0.984124i | \(-0.443205\pi\) |
−0.841292 | + | 0.540581i | \(0.818205\pi\) | |||||||
\(662\) | −10.3628 | + | 26.6689i | −0.402760 | + | 1.03651i | ||||
\(663\) | 1.00641 | − | 8.39231i | 0.0390855 | − | 0.325930i | ||||
\(664\) | 18.0191 | − | 8.90399i | 0.699278 | − | 0.345542i | ||||
\(665\) | −3.42211 | − | 8.26171i | −0.132704 | − | 0.320375i | ||||
\(666\) | 13.7250 | + | 21.4704i | 0.531833 | + | 0.831963i | ||||
\(667\) | −23.0326 | + | 4.58147i | −0.891825 | + | 0.177395i | ||||
\(668\) | 11.1766 | − | 12.2102i | 0.432436 | − | 0.472427i | ||||
\(669\) | 4.21220 | − | 4.91650i | 0.162853 | − | 0.190083i | ||||
\(670\) | −12.4476 | − | 7.92532i | −0.480892 | − | 0.306182i | ||||
\(671\) | 8.35022i | 0.322357i | ||||||||
\(672\) | 28.0508 | − | 27.5540i | 1.08208 | − | 1.06292i | ||||
\(673\) | − | 39.9401i | − | 1.53958i | −0.638300 | − | 0.769788i | \(-0.720362\pi\) | ||
0.638300 | − | 0.769788i | \(-0.279638\pi\) | |||||||
\(674\) | −11.2316 | + | 17.6404i | −0.432624 | + | 0.679483i | ||||
\(675\) | 20.5753 | + | 3.35634i | 0.791945 | + | 0.129186i | ||||
\(676\) | −24.9122 | + | 1.10101i | −0.958161 | + | 0.0423464i | ||||
\(677\) | −4.42850 | + | 0.880884i | −0.170201 | + | 0.0338551i | −0.279455 | − | 0.960159i | \(-0.590154\pi\) |
0.109254 | + | 0.994014i | \(0.465154\pi\) | |||||||
\(678\) | 7.63568 | + | 25.0894i | 0.293247 | + | 0.963553i | ||||
\(679\) | 11.0720 | + | 26.7302i | 0.424905 | + | 1.02581i | ||||
\(680\) | −0.179970 | − | 2.71255i | −0.00690155 | − | 0.104022i | ||||
\(681\) | 6.17683 | + | 0.740725i | 0.236697 | + | 0.0283846i | ||||
\(682\) | 41.5562 | + | 16.1476i | 1.59127 | + | 0.618322i | ||||
\(683\) | −12.1355 | − | 8.10869i | −0.464352 | − | 0.310270i | 0.301295 | − | 0.953531i | \(-0.402581\pi\) |
−0.765647 | + | 0.643261i | \(0.777581\pi\) | |||||||
\(684\) | 5.17013 | + | 12.4180i | 0.197685 | + | 0.474812i | ||||
\(685\) | 0.956373 | − | 4.80801i | 0.0365411 | − | 0.183705i | ||||
\(686\) | −11.7651 | − | 2.07126i | −0.449192 | − | 0.0790812i | ||||
\(687\) | 42.0603 | + | 23.6401i | 1.60470 | + | 0.901925i | ||||
\(688\) | 8.88234 | + | 30.3533i | 0.338636 | + | 1.15721i | ||||
\(689\) | −14.8976 | − | 14.8976i | −0.567552 | − | 0.567552i | ||||
\(690\) | 9.90715 | − | 12.0943i | 0.377159 | − | 0.460421i | ||||
\(691\) | −6.14932 | + | 30.9147i | −0.233931 | + | 1.17605i | 0.667996 | + | 0.744165i | \(0.267152\pi\) |
−0.901928 | + | 0.431887i | \(0.857848\pi\) | |||||||
\(692\) | −9.65083 | + | 2.36700i | −0.366869 | + | 0.0899798i | ||||
\(693\) | −63.0269 | − | 2.67082i | −2.39419 | − | 0.101456i | ||||
\(694\) | 0.126763 | − | 0.0558175i | 0.00481186 | − | 0.00211880i | ||||
\(695\) | 8.68900 | − | 20.9771i | 0.329593 | − | 0.795707i | ||||
\(696\) | 15.4040 | − | 9.14899i | 0.583887 | − | 0.346792i | ||||
\(697\) | 2.20564 | + | 5.32489i | 0.0835446 | + | 0.201695i | ||||
\(698\) | 22.0518 | − | 23.0479i | 0.834672 | − | 0.872376i | ||||
\(699\) | −19.8693 | − | 39.1447i | −0.751527 | − | 1.48059i | ||||
\(700\) | −10.9974 | + | 30.2654i | −0.415664 | + | 1.14392i | ||||
\(701\) | 6.98670 | + | 10.4563i | 0.263884 | + | 0.394931i | 0.939623 | − | 0.342210i | \(-0.111175\pi\) |
−0.675739 | + | 0.737141i | \(0.736175\pi\) | |||||||
\(702\) | −18.8217 | + | 31.9536i | −0.710379 | + | 1.20601i | ||||
\(703\) | − | 13.4653i | − | 0.507853i | ||||||
\(704\) | 27.6892 | + | 31.4717i | 1.04358 | + | 1.18613i | ||||
\(705\) | −0.269494 | − | 0.961220i | −0.0101497 | − | 0.0362016i | ||||
\(706\) | 8.91068 | + | 40.1428i | 0.335358 | + | 1.51079i | ||||
\(707\) | −34.2660 | + | 22.8958i | −1.28870 | + | 0.861085i | ||||
\(708\) | −0.177602 | + | 2.35780i | −0.00667469 | + | 0.0886117i | ||||
\(709\) | 43.9099 | − | 8.73421i | 1.64907 | − | 0.328020i | 0.718889 | − | 0.695125i | \(-0.244651\pi\) |
0.930180 | + | 0.367104i | \(0.119651\pi\) | |||||||
\(710\) | 6.60549 | + | 6.32001i | 0.247900 | + | 0.237186i | ||||
\(711\) | 1.83513 | − | 2.50954i | 0.0688227 | − | 0.0941152i | ||||
\(712\) | 13.0093 | − | 22.5745i | 0.487545 | − | 0.846015i | ||||
\(713\) | −35.6933 | − | 14.7846i | −1.33672 | − | 0.553689i | ||||
\(714\) | 7.34239 | − | 6.03691i | 0.274782 | − | 0.225926i | ||||
\(715\) | 21.8538 | + | 14.6022i | 0.817285 | + | 0.546092i | ||||
\(716\) | 14.4037 | − | 3.53270i | 0.538290 | − | 0.132023i | ||||
\(717\) | 2.14313 | − | 0.165347i | 0.0800368 | − | 0.00617501i | ||||
\(718\) | 13.6240 | + | 19.4461i | 0.508444 | + | 0.725721i | ||||
\(719\) | 24.3513 | − | 24.3513i | 0.908150 | − | 0.908150i | −0.0879732 | − | 0.996123i | \(-0.528039\pi\) |
0.996123 | + | 0.0879732i | \(0.0280390\pi\) | |||||||
\(720\) | −4.05307 | + | 11.2177i | −0.151049 | + | 0.418057i | ||||
\(721\) | 28.5123 | + | 28.5123i | 1.06185 | + | 1.06185i | ||||
\(722\) | −3.42648 | + | 19.4629i | −0.127520 | + | 0.724335i | ||||
\(723\) | 0.259864 | + | 3.36821i | 0.00966446 | + | 0.125265i | ||||
\(724\) | 2.82258 | − | 18.4039i | 0.104900 | − | 0.683975i | ||||
\(725\) | −8.15164 | + | 12.1998i | −0.302744 | + | 0.453089i | ||||
\(726\) | 3.91443 | − | 40.1173i | 0.145278 | − | 1.48889i | ||||
\(727\) | 2.78741 | − | 6.72940i | 0.103379 | − | 0.249580i | −0.863723 | − | 0.503966i | \(-0.831874\pi\) |
0.967103 | + | 0.254387i | \(0.0818736\pi\) | |||||||
\(728\) | −43.0976 | − | 37.7346i | −1.59730 | − | 1.39854i | ||||
\(729\) | 12.0349 | + | 24.1694i | 0.445737 | + | 0.895164i | ||||
\(730\) | −0.00456530 | − | 0.206697i | −0.000168969 | − | 0.00765018i | ||||
\(731\) | 1.49158 | + | 7.49866i | 0.0551679 | + | 0.277348i | ||||
\(732\) | 1.72352 | + | 5.24448i | 0.0637031 | + | 0.193842i | ||||
\(733\) | −4.59999 | − | 6.88437i | −0.169904 | − | 0.254280i | 0.736739 | − | 0.676177i | \(-0.236364\pi\) |
−0.906644 | + | 0.421897i | \(0.861364\pi\) | |||||||
\(734\) | 29.9987 | + | 19.1000i | 1.10727 | + | 0.704994i | ||||
\(735\) | 15.0928 | − | 4.23151i | 0.556705 | − | 0.156082i | ||||
\(736\) | −23.3864 | − | 27.7954i | −0.862033 | − | 1.02455i | ||||
\(737\) | 55.0070 | 2.02621 | ||||||||
\(738\) | 0.512473 | − | 25.2825i | 0.0188644 | − | 0.930663i | ||||
\(739\) | 9.60076 | − | 6.41502i | 0.353170 | − | 0.235980i | −0.366312 | − | 0.930492i | \(-0.619380\pi\) |
0.719481 | + | 0.694512i | \(0.244380\pi\) | |||||||
\(740\) | 8.06176 | − | 8.80730i | 0.296356 | − | 0.323763i | ||||
\(741\) | 17.4740 | − | 8.86957i | 0.641923 | − | 0.325832i | ||||
\(742\) | −0.523185 | − | 23.6875i | −0.0192067 | − | 0.869594i | ||||
\(743\) | −22.3975 | + | 9.27734i | −0.821684 | + | 0.340353i | −0.753605 | − | 0.657327i | \(-0.771687\pi\) |
−0.0680787 | + | 0.997680i | \(0.521687\pi\) | |||||||
\(744\) | 29.4329 | + | 1.56435i | 1.07906 | + | 0.0573520i | ||||
\(745\) | −0.801287 | − | 0.331904i | −0.0293569 | − | 0.0121600i | ||||
\(746\) | −33.7238 | − | 13.1041i | −1.23472 | − | 0.479776i | ||||
\(747\) | −21.2991 | − | 0.902566i | −0.779294 | − | 0.0330232i | ||||
\(748\) | 5.99650 | + | 8.16905i | 0.219254 | + | 0.298690i | ||||
\(749\) | 71.1517 | + | 14.1529i | 2.59983 | + | 0.517137i | ||||
\(750\) | −2.17046 | − | 21.8338i | −0.0792542 | − | 0.797258i | ||||
\(751\) | −5.97994 | + | 5.97994i | −0.218211 | + | 0.218211i | −0.807744 | − | 0.589533i | \(-0.799312\pi\) |
0.589533 | + | 0.807744i | \(0.299312\pi\) | |||||||
\(752\) | −2.31043 | + | 0.204621i | −0.0842526 | + | 0.00746175i | ||||
\(753\) | −18.3053 | + | 32.5688i | −0.667083 | + | 1.18687i | ||||
\(754\) | −14.9765 | − | 21.3765i | −0.545411 | − | 0.778485i | ||||
\(755\) | −15.3775 | − | 3.05878i | −0.559646 | − | 0.111320i | ||||
\(756\) | −40.1363 | + | 11.3316i | −1.45974 | + | 0.412125i | ||||
\(757\) | −13.3796 | + | 20.0239i | −0.486288 | + | 0.727782i | −0.990757 | − | 0.135648i | \(-0.956688\pi\) |
0.504469 | + | 0.863430i | \(0.331688\pi\) | |||||||
\(758\) | −40.3412 | + | 17.7634i | −1.46526 | + | 0.645196i | ||||
\(759\) | −6.93901 | + | 57.8637i | −0.251870 | + | 2.10032i | ||||
\(760\) | 4.99713 | − | 3.84079i | 0.181265 | − | 0.139320i | ||||
\(761\) | 41.9677 | − | 17.3836i | 1.52133 | − | 0.630155i | 0.543471 | − | 0.839428i | \(-0.317110\pi\) |
0.977857 | + | 0.209273i | \(0.0671097\pi\) | |||||||
\(762\) | −4.96050 | + | 9.30076i | −0.179700 | + | 0.336931i | ||||
\(763\) | 4.54005 | + | 22.8244i | 0.164361 | + | 0.826298i | ||||
\(764\) | 33.9562 | − | 15.8561i | 1.22849 | − | 0.573654i | ||||
\(765\) | −1.21523 | + | 2.61483i | −0.0439368 | + | 0.0945393i | ||||
\(766\) | −11.0984 | − | 49.9985i | −0.401001 | − | 1.80652i | ||||
\(767\) | 3.44465 | 0.124379 | ||||||||
\(768\) | 23.8865 | + | 14.0511i | 0.861930 | + | 0.507027i | ||||
\(769\) | −17.5017 | −0.631126 | −0.315563 | − | 0.948905i | \(-0.602193\pi\) | ||||
−0.315563 | + | 0.948905i | \(0.602193\pi\) | |||||||
\(770\) | 6.40521 | + | 28.8556i | 0.230828 | + | 1.03988i | ||||
\(771\) | −14.4714 | − | 12.3983i | −0.521174 | − | 0.446514i | ||||
\(772\) | −18.7536 | + | 8.75712i | −0.674956 | + | 0.315176i | ||||
\(773\) | −5.07740 | − | 25.5258i | −0.182621 | − | 0.918100i | −0.958036 | − | 0.286647i | \(-0.907459\pi\) |
0.775415 | − | 0.631452i | \(-0.217541\pi\) | |||||||
\(774\) | 7.20965 | − | 32.7608i | 0.259146 | − | 1.17756i | ||||
\(775\) | −22.3010 | + | 9.23736i | −0.801074 | + | 0.331816i | ||||
\(776\) | −16.1679 | + | 12.4266i | −0.580393 | + | 0.446089i | ||||
\(777\) | 41.4518 | + | 4.97090i | 1.48708 | + | 0.178330i | ||||
\(778\) | −25.2357 | + | 11.1120i | −0.904744 | + | 0.398385i | ||||
\(779\) | −7.42375 | + | 11.1104i | −0.265983 | + | 0.398072i | ||||
\(780\) | 16.7396 | + | 4.66044i | 0.599373 | + | 0.166871i | ||||
\(781\) | −33.4232 | − | 6.64828i | −1.19598 | − | 0.237894i | ||||
\(782\) | −5.03877 | − | 7.19202i | −0.180186 | − | 0.257186i | ||||
\(783\) | −18.9915 | + | 0.658302i | −0.678701 | + | 0.0235258i | ||||
\(784\) | −3.21289 | − | 36.2775i | −0.114746 | − | 1.29563i | ||||
\(785\) | −0.768152 | + | 0.768152i | −0.0274165 | + | 0.0274165i | ||||
\(786\) | −1.22630 | + | 0.121905i | −0.0437408 | + | 0.00434821i | ||||
\(787\) | 4.24897 | + | 0.845172i | 0.151459 | + | 0.0301271i | 0.270238 | − | 0.962794i | \(-0.412898\pi\) |
−0.118778 | + | 0.992921i | \(0.537898\pi\) | |||||||
\(788\) | −3.03044 | − | 4.12837i | −0.107955 | − | 0.147067i | ||||
\(789\) | −15.9329 | − | 5.20406i | −0.567227 | − | 0.185270i | ||||
\(790\) | −1.35780 | − | 0.527602i | −0.0483083 | − | 0.0187712i | ||||
\(791\) | 39.6958 | + | 16.4425i | 1.41142 | + | 0.584629i | ||||
\(792\) | −9.71358 | − | 43.3872i | −0.345157 | − | 1.54170i | ||||
\(793\) | 7.43014 | − | 3.07767i | 0.263852 | − | 0.109291i | ||||
\(794\) | 0.686934 | + | 31.1013i | 0.0243784 | + | 1.10374i | ||||
\(795\) | 3.25303 | + | 6.40881i | 0.115373 | + | 0.227297i | ||||
\(796\) | 32.0382 | − | 35.0010i | 1.13556 | − | 1.24058i | ||||
\(797\) | 5.95920 | − | 3.98181i | 0.211086 | − | 0.141043i | −0.445533 | − | 0.895265i | \(-0.646986\pi\) |
0.656619 | + | 0.754222i | \(0.271986\pi\) | |||||||
\(798\) | 21.0945 | + | 6.37804i | 0.746738 | + | 0.225780i | ||||
\(799\) | −0.560726 | −0.0198370 | ||||||||
\(800\) | −22.6119 | − | 1.94790i | −0.799452 | − | 0.0688685i | ||||
\(801\) | −23.6073 | + | 14.3667i | −0.834122 | + | 0.507623i | ||||
\(802\) | 42.0403 | + | 26.7668i | 1.48449 | + | 0.945170i | ||||
\(803\) | 0.428168 | + | 0.640798i | 0.0151097 | + | 0.0226133i | ||||
\(804\) | 34.5480 | − | 11.3537i | 1.21841 | − | 0.400413i | ||||
\(805\) | −4.99701 | − | 25.1217i | −0.176121 | − | 0.885422i | ||||
\(806\) | −0.948169 | − | 42.9289i | −0.0333978 | − | 1.51210i | ||||
\(807\) | −12.2790 | − | 15.6253i | −0.432241 | − | 0.550036i | ||||
\(808\) | −21.8531 | − | 19.1337i | −0.768789 | − | 0.673122i | ||||
\(809\) | 4.18595 | − | 10.1058i | 0.147170 | − | 0.355300i | −0.833054 | − | 0.553192i | \(-0.813410\pi\) |
0.980224 | + | 0.197892i | \(0.0634096\pi\) | |||||||
\(810\) | 9.48781 | − | 8.36824i | 0.333368 | − | 0.294030i | ||||
\(811\) | 8.10301 | − | 12.1270i | 0.284535 | − | 0.425837i | −0.661478 | − | 0.749964i | \(-0.730071\pi\) |
0.946013 | + | 0.324127i | \(0.105071\pi\) | |||||||
\(812\) | 4.44974 | − | 29.0134i | 0.156155 | − | 1.01817i | ||||
\(813\) | −47.9645 | + | 3.70056i | −1.68219 | + | 0.129784i | ||||
\(814\) | −7.71699 | + | 43.8336i | −0.270480 | + | 1.53637i | ||||
\(815\) | 0.569710 | + | 0.569710i | 0.0199561 | + | 0.0199561i | ||||
\(816\) | 5.45233 | + | 3.89300i | 0.190870 | + | 0.136282i | ||||
\(817\) | −12.5338 | + | 12.5338i | −0.438503 | + | 0.438503i | ||||
\(818\) | 28.8817 | + | 41.2240i | 1.00983 | + | 1.44136i | ||||
\(819\) | 20.8535 | + | 57.0666i | 0.728680 | + | 1.99407i | ||||
\(820\) | −11.5076 | + | 2.82239i | −0.401862 | + | 0.0985623i | ||||
\(821\) | 43.7273 | + | 29.2177i | 1.52609 | + | 1.01970i | 0.983749 | + | 0.179548i | \(0.0574637\pi\) |
0.542346 | + | 0.840155i | \(0.317536\pi\) | |||||||
\(822\) | 7.67257 | + | 9.33176i | 0.267612 | + | 0.325483i | ||||
\(823\) | −9.51214 | − | 3.94006i | −0.331572 | − | 0.137342i | 0.210686 | − | 0.977554i | \(-0.432430\pi\) |
−0.542258 | + | 0.840212i | \(0.682430\pi\) | |||||||
\(824\) | −14.1899 | + | 24.6232i | −0.494330 | + | 0.857790i | ||||
\(825\) | 22.4983 | + | 28.6296i | 0.783292 | + | 0.996755i | ||||
\(826\) | 2.79902 | + | 2.67805i | 0.0973904 | + | 0.0931813i | ||||
\(827\) | −51.3042 | + | 10.2050i | −1.78402 | + | 0.354864i | −0.973116 | − | 0.230315i | \(-0.926024\pi\) |
−0.810905 | + | 0.585178i | \(0.801024\pi\) | |||||||
\(828\) | 7.58516 | + | 37.7745i | 0.263602 | + | 1.31275i | ||||
\(829\) | −33.9311 | + | 22.6720i | −1.17847 | + | 0.787431i | −0.981215 | − | 0.192920i | \(-0.938204\pi\) |
−0.197260 | + | 0.980351i | \(0.563204\pi\) | |||||||
\(830\) | 2.16455 | + | 9.75136i | 0.0751328 | + | 0.338475i | ||||
\(831\) | −9.35935 | + | 2.62405i | −0.324672 | + | 0.0910274i | ||||
\(832\) | 17.7985 | − | 36.2379i | 0.617051 | − | 1.25632i | ||||
\(833\) | − | 8.80433i | − | 0.305052i | ||||||
\(834\) | 26.4219 | + | 49.3242i | 0.914917 | + | 1.70796i | ||||
\(835\) | 4.57039 | + | 6.84008i | 0.158165 | + | 0.236711i | ||||
\(836\) | −8.02363 | + | 22.0814i | −0.277503 | + | 0.763701i | ||||
\(837\) | −26.5798 | − | 16.4576i | −0.918733 | − | 0.568857i | ||||
\(838\) | 37.1098 | − | 38.7861i | 1.28194 | − | 1.33984i | ||||
\(839\) | 3.41574 | + | 8.24632i | 0.117924 | + | 0.284695i | 0.971810 | − | 0.235767i | \(-0.0757601\pi\) |
−0.853885 | + | 0.520461i | \(0.825760\pi\) | |||||||
\(840\) | 9.97881 | + | 16.8011i | 0.344302 | + | 0.579695i | ||||
\(841\) | −5.97963 | + | 14.4361i | −0.206194 | + | 0.497797i | ||||
\(842\) | 2.14761 | − | 0.945654i | 0.0740114 | − | 0.0325894i | ||||
\(843\) | 31.1514 | + | 10.1748i | 1.07291 | + | 0.350438i | ||||
\(844\) | −11.5347 | + | 2.82905i | −0.397042 | + | 0.0973801i | ||||
\(845\) | 2.41772 | − | 12.1547i | 0.0831721 | − | 0.418135i | ||||
\(846\) | 2.25335 | + | 0.987334i | 0.0774719 | + | 0.0339453i | ||||
\(847\) | −46.6958 | − | 46.6958i | −1.60449 | − | 1.60449i | ||||
\(848\) | 16.0269 | − | 4.68997i | 0.550366 | − | 0.161054i | ||||
\(849\) | −0.363233 | + | 0.646263i | −0.0124661 | + | 0.0221797i | ||||
\(850\) | −5.40351 | − | 0.951299i | −0.185339 | − | 0.0326293i | ||||
\(851\) | 7.52439 | − | 37.8277i | 0.257933 | − | 1.29672i | ||||
\(852\) | −22.3642 | + | 2.72313i | −0.766184 | + | 0.0932927i | ||||
\(853\) | −39.4858 | − | 26.3836i | −1.35197 | − | 0.903356i | −0.352495 | − | 0.935814i | \(-0.614667\pi\) |
−0.999473 | + | 0.0324574i | \(0.989667\pi\) | |||||||
\(854\) | 8.43025 | + | 3.27576i | 0.288477 | + | 0.112094i | ||||
\(855\) | −6.60582 | + | 1.02541i | −0.225914 | + | 0.0350683i | ||||
\(856\) | 3.38491 | + | 51.0180i | 0.115694 | + | 1.74376i | ||||
\(857\) | −10.9630 | − | 26.4671i | −0.374490 | − | 0.904098i | −0.992977 | − | 0.118303i | \(-0.962254\pi\) |
0.618488 | − | 0.785794i | \(-0.287746\pi\) | |||||||
\(858\) | −61.9663 | + | 18.8588i | −2.11550 | + | 0.643827i | ||||
\(859\) | −21.7921 | + | 4.33472i | −0.743538 | + | 0.147899i | −0.552301 | − | 0.833645i | \(-0.686250\pi\) |
−0.191237 | + | 0.981544i | \(0.561250\pi\) | |||||||
\(860\) | −15.7022 | + | 0.693965i | −0.535439 | + | 0.0236640i | ||||
\(861\) | −31.4620 | − | 26.9550i | −1.07222 | − | 0.918624i | ||||
\(862\) | −9.10900 | + | 14.3067i | −0.310254 | + | 0.487288i | ||||
\(863\) | 38.8721i | 1.32322i | 0.749847 | + | 0.661611i | \(0.230127\pi\) | ||||
−0.749847 | + | 0.661611i | \(0.769873\pi\) | |||||||
\(864\) | −15.0561 | − | 25.2451i | −0.512218 | − | 0.858856i | ||||
\(865\) | − | 4.93837i | − | 0.167910i | ||||||
\(866\) | −12.4747 | − | 7.94259i | −0.423908 | − | 0.269900i | ||||
\(867\) | −21.1306 | − | 18.1036i | −0.717634 | − | 0.614832i | ||||
\(868\) | 32.6047 | − | 35.6199i | 1.10667 | − | 1.20902i | ||||
\(869\) | 5.32574 | − | 1.05936i | 0.180664 | − | 0.0359362i | ||||
\(870\) | 2.59239 | + | 8.51812i | 0.0878904 | + | 0.288791i | ||||
\(871\) | −20.2741 | − | 48.9460i | −0.686961 | − | 1.65847i | ||||
\(872\) | −14.7045 | + | 7.26610i | −0.497957 | + | 0.246061i | ||||
\(873\) | 21.3727 | − | 3.31764i | 0.723356 | − | 0.112285i | ||||
\(874\) | 7.37382 | − | 18.9767i | 0.249423 | − | 0.641897i | ||||
\(875\) | −29.8892 | − | 19.9713i | −1.01044 | − | 0.675154i | ||||
\(876\) | 0.401181 | + | 0.314088i | 0.0135546 | + | 0.0106120i | ||||
\(877\) | 1.77370 | − | 8.91702i | 0.0598938 | − | 0.301106i | −0.939214 | − | 0.343331i | \(-0.888445\pi\) |
0.999108 | + | 0.0422250i | \(0.0134446\pi\) | |||||||
\(878\) | 4.00996 | − | 22.7771i | 0.135330 | − | 0.768692i | ||||
\(879\) | −7.03536 | + | 12.5173i | −0.237297 | + | 0.422198i | ||||
\(880\) | −18.4683 | + | 9.63907i | −0.622567 | + | 0.324933i | ||||
\(881\) | −31.0693 | − | 31.0693i | −1.04675 | − | 1.04675i | −0.998852 | − | 0.0479003i | \(-0.984747\pi\) |
−0.0479003 | − | 0.998852i | \(-0.515253\pi\) | |||||||
\(882\) | −15.5028 | + | 35.3814i | −0.522006 | + | 1.19135i | ||||
\(883\) | −1.53518 | + | 7.71788i | −0.0516630 | + | 0.259727i | −0.997981 | − | 0.0635089i | \(-0.979771\pi\) |
0.946318 | + | 0.323236i | \(0.104771\pi\) | |||||||
\(884\) | 5.05879 | − | 8.34667i | 0.170146 | − | 0.280729i | ||||
\(885\) | −1.11702 | − | 0.364844i | −0.0375481 | − | 0.0122641i | ||||
\(886\) | −20.7490 | − | 47.1215i | −0.697075 | − | 1.58308i | ||||
\(887\) | 0.656614 | − | 1.58521i | 0.0220469 | − | 0.0532260i | −0.912473 | − | 0.409138i | \(-0.865830\pi\) |
0.934520 | + | 0.355912i | \(0.115830\pi\) | |||||||
\(888\) | 4.20066 | + | 29.1232i | 0.140965 | + | 0.977311i | ||||
\(889\) | 6.60877 | + | 15.9550i | 0.221651 | + | 0.535113i | ||||
\(890\) | 9.35597 | + | 8.95161i | 0.313613 | + | 0.300059i | ||||
\(891\) | −13.0801 | + | 45.3080i | −0.438198 | + | 1.51788i | ||||
\(892\) | 6.77360 | − | 3.16298i | 0.226797 | − | 0.105904i | ||||
\(893\) | −0.722235 | − | 1.08090i | −0.0241687 | − | 0.0361710i | ||||
\(894\) | 1.88409 | − | 1.00927i | 0.0630135 | − | 0.0337550i | ||||
\(895\) | 7.37043i | 0.246366i | ||||||||
\(896\) | 42.6357 | − | 15.6084i | 1.42436 | − | 0.521439i | ||||
\(897\) | 54.0455 | − | 15.1526i | 1.80453 | − | 0.505930i | ||||
\(898\) | −40.2019 | + | 8.92380i | −1.34156 | + | 0.297791i | ||||
\(899\) | 18.2947 | − | 12.2241i | 0.610162 | − | 0.407697i | ||||
\(900\) | 20.0397 | + | 13.3375i | 0.667990 | + | 0.444584i | ||||
\(901\) | 3.95937 | − | 0.787568i | 0.131906 | − | 0.0262377i | ||||
\(902\) | 30.5340 | − | 31.9132i | 1.01667 | − | 1.06259i | ||||
\(903\) | −33.9574 | − | 43.2115i | −1.13003 | − | 1.43799i | ||||
\(904\) | −3.92866 | + | 30.0268i | −0.130665 | + | 0.998677i | ||||
\(905\) | 8.54886 | + | 3.54105i | 0.284174 | + | 0.117709i | ||||
\(906\) | 29.8459 | − | 24.5393i | 0.991564 | − | 0.815264i | ||||
\(907\) | −7.16595 | − | 4.78814i | −0.237942 | − | 0.158987i | 0.430883 | − | 0.902408i | \(-0.358202\pi\) |
−0.668824 | + | 0.743420i | \(0.733202\pi\) | |||||||
\(908\) | 6.14324 | + | 3.72332i | 0.203870 | + | 0.123563i | ||||
\(909\) | 10.5740 | + | 28.9362i | 0.350717 | + | 0.959754i | ||||
\(910\) | 23.3153 | − | 16.3348i | 0.772896 | − | 0.541495i | ||||
\(911\) | 33.5714 | − | 33.5714i | 1.11227 | − | 1.11227i | 0.119428 | − | 0.992843i | \(-0.461894\pi\) |
0.992843 | − | 0.119428i | \(-0.0381061\pi\) | |||||||
\(912\) | −0.481675 | + | 15.5247i | −0.0159498 | + | 0.514074i | ||||
\(913\) | −26.3287 | − | 26.3287i | −0.871354 | − | 0.871354i | ||||
\(914\) | −0.581235 | − | 0.102328i | −0.0192255 | − | 0.00338469i | ||||
\(915\) | −2.73539 | + | 0.211041i | −0.0904291 | + | 0.00697680i | ||||
\(916\) | 32.9674 | + | 44.9116i | 1.08927 | + | 1.48392i | ||||
\(917\) | −1.12170 | + | 1.67874i | −0.0370417 | + | 0.0554369i | ||||
\(918\) | −3.08718 | − | 6.40024i | −0.101892 | − | 0.211239i | ||||
\(919\) | −2.63731 | + | 6.36703i | −0.0869968 | + | 0.210029i | −0.961390 | − | 0.275189i | \(-0.911260\pi\) |
0.874393 | + | 0.485218i | \(0.161260\pi\) | |||||||
\(920\) | 16.1845 | − | 7.99743i | 0.533588 | − | 0.263667i | ||||
\(921\) | 16.4610 | + | 20.9470i | 0.542408 | + | 0.690226i | ||||
\(922\) | −25.0717 | + | 0.553757i | −0.825691 | + | 0.0182370i | ||||
\(923\) | 6.40315 | + | 32.1908i | 0.210762 | + | 1.05957i | ||||
\(924\) | −65.0138 | − | 32.8518i | −2.13880 | − | 1.08074i | ||||
\(925\) | −13.3879 | − | 20.0364i | −0.440190 | − | 0.658792i | ||||
\(926\) | 11.7688 | − | 18.4842i | 0.386747 | − | 0.607429i | ||||
\(927\) | 25.7497 | − | 15.6705i | 0.845732 | − | 0.514688i | ||||
\(928\) | 20.5618 | − | 2.27964i | 0.674973 | − | 0.0748328i | ||||
\(929\) | −32.0105 | −1.05023 | −0.525115 | − | 0.851031i | \(-0.675978\pi\) | ||||
−0.525115 | + | 0.851031i | \(0.675978\pi\) | |||||||
\(930\) | −4.23939 | + | 14.0212i | −0.139015 | + | 0.459774i | ||||
\(931\) | 16.9720 | − | 11.3403i | 0.556233 | − | 0.371663i | ||||
\(932\) | −2.23808 | − | 50.6404i | −0.0733108 | − | 1.65878i | ||||
\(933\) | 6.81057 | + | 13.4175i | 0.222968 | + | 0.439271i | ||||
\(934\) | −3.37596 | + | 0.0745647i | −0.110465 | + | 0.00243983i | ||||
\(935\) | −4.65283 | + | 1.92727i | −0.152164 | + | 0.0630284i | ||||
\(936\) | −35.0264 | + | 24.6346i | −1.14487 | + | 0.805209i | ||||
\(937\) | 7.59876 | + | 3.14751i | 0.248241 | + | 0.102825i | 0.503334 | − | 0.864092i | \(-0.332106\pi\) |
−0.255094 | + | 0.966916i | \(0.582106\pi\) | |||||||
\(938\) | 21.5790 | − | 55.5342i | 0.704580 | − | 1.81326i | ||||
\(939\) | 25.5457 | + | 8.34383i | 0.833653 | + | 0.272291i | ||||
\(940\) | 0.174748 | − | 1.13940i | 0.00569964 | − | 0.0371630i | ||||
\(941\) | −32.1872 | − | 6.40243i | −1.04927 | − | 0.208713i | −0.359803 | − | 0.933028i | \(-0.617156\pi\) |
−0.689469 | + | 0.724315i | \(0.742156\pi\) | |||||||
\(942\) | −0.264826 | − | 2.66402i | −0.00862850 | − | 0.0867985i | ||||
\(943\) | −27.0638 | + | 27.0638i | −0.881319 | + | 0.881319i | ||||
\(944\) | −1.31067 | + | 2.39510i | −0.0426588 | + | 0.0779539i | ||||
\(945\) | −0.718010 | − | 20.7140i | −0.0233569 | − | 0.673828i | ||||
\(946\) | 47.9846 | − | 33.6183i | 1.56011 | − | 1.09302i | ||||
\(947\) | −14.8826 | − | 2.96033i | −0.483619 | − | 0.0961978i | −0.0527413 | − | 0.998608i | \(-0.516796\pi\) |
−0.430877 | + | 0.902410i | \(0.641796\pi\) | |||||||
\(948\) | 3.12626 | − | 1.76460i | 0.101536 | − | 0.0573116i | ||||
\(949\) | 0.412380 | − | 0.617171i | 0.0133864 | − | 0.0200342i | ||||
\(950\) | −5.12612 | − | 11.6416i | −0.166313 | − | 0.377702i | ||||
\(951\) | 14.2024 | + | 1.70315i | 0.460543 | + | 0.0552283i | ||||
\(952\) | 10.5998 | − | 2.84929i | 0.343540 | − | 0.0923461i | ||||
\(953\) | −30.2146 | + | 12.5153i | −0.978748 | + | 0.405411i | −0.813962 | − | 0.580919i | \(-0.802693\pi\) |
−0.164786 | + | 0.986329i | \(0.552693\pi\) | |||||||
\(954\) | −17.2981 | − | 3.80677i | −0.560045 | − | 0.123249i | ||||
\(955\) | 3.63348 | + | 18.2667i | 0.117577 | + | 0.591097i | ||||
\(956\) | 2.33280 | + | 0.847661i | 0.0754482 | + | 0.0274153i | ||||
\(957\) | −25.2051 | − | 21.5944i | −0.814764 | − | 0.698047i | ||||
\(958\) | −37.7080 | + | 8.37021i | −1.21829 | + | 0.270429i | ||||
\(959\) | 19.7927 | 0.639140 | ||||||||
\(960\) | −9.60978 | + | 9.86591i | −0.310154 | + | 0.318421i | ||||
\(961\) | 5.19773 | 0.167669 | ||||||||
\(962\) | 41.8481 | − | 9.28920i | 1.34924 | − | 0.299496i | ||||
\(963\) | 22.8563 | − | 49.1800i | 0.736533 | − | 1.58480i | ||||
\(964\) | −1.33221 | + | 3.66629i | −0.0429075 | + | 0.118083i | ||||
\(965\) | −2.00672 | − | 10.0885i | −0.0645986 | − | 0.324759i | ||||
\(966\) | 55.6962 | + | 29.7052i | 1.79200 | + | 0.955750i | ||||
\(967\) | 31.2373 | − | 12.9389i | 1.00452 | − | 0.416088i | 0.181070 | − | 0.983470i | \(-0.442044\pi\) |
0.823454 | + | 0.567382i | \(0.192044\pi\) | |||||||
\(968\) | 23.2395 | − | 40.3265i | 0.746945 | − | 1.29614i | ||||
\(969\) | −0.447079 | + | 3.72815i | −0.0143622 | + | 0.119765i | ||||
\(970\) | −4.08398 | − | 9.27483i | −0.131129 | − | 0.297797i | ||||
\(971\) | 18.9299 | − | 28.3306i | 0.607489 | − | 0.909171i | −0.392455 | − | 0.919771i | \(-0.628374\pi\) |
0.999944 | + | 0.0106000i | \(0.00337415\pi\) | |||||||
\(972\) | 1.13663 | + | 31.1562i | 0.0364573 | + | 0.999335i | ||||
\(973\) | 89.9121 | + | 17.8846i | 2.88245 | + | 0.573355i | ||||
\(974\) | −35.5673 | + | 24.9186i | −1.13965 | + | 0.798444i | ||||
\(975\) | 17.1827 | − | 30.5714i | 0.550288 | − | 0.979070i | ||||
\(976\) | −0.687203 | + | 6.33729i | −0.0219968 | + | 0.202852i | ||||
\(977\) | −16.1554 | + | 16.1554i | −0.516857 | + | 0.516857i | −0.916619 | − | 0.399762i | \(-0.869093\pi\) |
0.399762 | + | 0.916619i | \(0.369093\pi\) | |||||||
\(978\) | −1.97581 | + | 0.196412i | −0.0631793 | + | 0.00628056i | ||||
\(979\) | −47.3403 | − | 9.41658i | −1.51300 | − | 0.300955i | ||||
\(980\) | 17.8904 | + | 2.74383i | 0.571489 | + | 0.0876484i | ||||
\(981\) | 17.3811 | + | 0.736539i | 0.554937 | + | 0.0235159i | ||||
\(982\) | −4.69451 | + | 12.0814i | −0.149808 | + | 0.385534i | ||||
\(983\) | −35.1998 | − | 14.5803i | −1.12270 | − | 0.465038i | −0.257407 | − | 0.966303i | \(-0.582868\pi\) |
−0.865294 | + | 0.501265i | \(0.832868\pi\) | |||||||
\(984\) | 12.5903 | − | 26.3460i | 0.401364 | − | 0.839878i | ||||
\(985\) | 2.35139 | − | 0.973978i | 0.0749215 | − | 0.0310335i | ||||
\(986\) | 4.99999 | − | 0.110435i | 0.159232 | − | 0.00351696i | ||||
\(987\) | 3.59409 | − | 1.82431i | 0.114401 | − | 0.0580685i | ||||
\(988\) | 22.6056 | − | 0.999068i | 0.719181 | − | 0.0317846i | ||||
\(989\) | −42.2148 | + | 28.2070i | −1.34235 | + | 0.896932i | ||||
\(990\) | 22.0916 | + | 0.447793i | 0.702118 | + | 0.0142318i | ||||
\(991\) | 32.4796 | 1.03175 | 0.515874 | − | 0.856664i | \(-0.327467\pi\) | ||||
0.515874 | + | 0.856664i | \(0.327467\pi\) | |||||||
\(992\) | 30.2096 | + | 15.6750i | 0.959157 | + | 0.497681i | ||||
\(993\) | 33.7407 | − | 9.45978i | 1.07073 | − | 0.300197i | ||||
\(994\) | −19.8238 | + | 31.1354i | −0.628772 | + | 0.987556i | ||||
\(995\) | 13.1012 | + | 19.6073i | 0.415336 | + | 0.621594i | ||||
\(996\) | −21.9705 | − | 11.1018i | −0.696163 | − | 0.351775i | ||||
\(997\) | 7.69284 | + | 38.6745i | 0.243635 | + | 1.22483i | 0.887901 | + | 0.460034i | \(0.152163\pi\) |
−0.644267 | + | 0.764801i | \(0.722837\pi\) | |||||||
\(998\) | −55.1016 | + | 1.21703i | −1.74421 | + | 0.0385243i | ||||
\(999\) | 10.9373 | − | 29.2303i | 0.346042 | − | 0.924804i |
(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 | 192.2.s.a.179.13 | yes | 240 | |
3.2 | odd | 2 | inner | 192.2.s.a.179.18 | yes | 240 | |
4.3 | odd | 2 | 768.2.s.a.623.22 | 240 | |||
12.11 | even | 2 | 768.2.s.a.623.3 | 240 | |||
64.5 | even | 16 | 768.2.s.a.143.3 | 240 | |||
64.59 | odd | 16 | inner | 192.2.s.a.59.18 | yes | 240 | |
192.5 | odd | 16 | 768.2.s.a.143.22 | 240 | |||
192.59 | even | 16 | inner | 192.2.s.a.59.13 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
192.2.s.a.59.13 | ✓ | 240 | 192.59 | even | 16 | inner | |
192.2.s.a.59.18 | yes | 240 | 64.59 | odd | 16 | inner | |
192.2.s.a.179.13 | yes | 240 | 1.1 | even | 1 | trivial | |
192.2.s.a.179.18 | yes | 240 | 3.2 | odd | 2 | inner | |
768.2.s.a.143.3 | 240 | 64.5 | even | 16 | |||
768.2.s.a.143.22 | 240 | 192.5 | odd | 16 | |||
768.2.s.a.623.3 | 240 | 12.11 | even | 2 | |||
768.2.s.a.623.22 | 240 | 4.3 | odd | 2 |