Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(67,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.br (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 107.13 | ||
Character | \(\chi\) | \(=\) | 280.107 |
Dual form | 280.2.br.a.123.13 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.950661 | + | 1.04702i | −0.672219 | + | 0.740352i | ||||
\(3\) | 1.52971 | + | 0.409884i | 0.883177 | + | 0.236647i | 0.671777 | − | 0.740753i | \(-0.265531\pi\) |
0.211400 | + | 0.977400i | \(0.432198\pi\) | |||||||
\(4\) | −0.192487 | − | 1.99072i | −0.0962435 | − | 0.995358i | ||||
\(5\) | 0.934747 | + | 2.03132i | 0.418032 | + | 0.908432i | ||||
\(6\) | −1.88339 | + | 1.21197i | −0.768890 | + | 0.494784i | ||||
\(7\) | 1.62314 | + | 2.08935i | 0.613491 | + | 0.789702i | ||||
\(8\) | 2.26730 | + | 1.69096i | 0.801612 | + | 0.597844i | ||||
\(9\) | −0.426076 | − | 0.245995i | −0.142025 | − | 0.0819984i | ||||
\(10\) | −3.01545 | − | 0.952398i | −0.953569 | − | 0.301175i | ||||
\(11\) | −1.76127 | − | 3.05061i | −0.531043 | − | 0.919793i | −0.999344 | − | 0.0362243i | \(-0.988467\pi\) |
0.468301 | − | 0.883569i | \(-0.344866\pi\) | |||||||
\(12\) | 0.521514 | − | 3.12411i | 0.150548 | − | 0.901853i | ||||
\(13\) | 1.68796 | + | 1.68796i | 0.468156 | + | 0.468156i | 0.901317 | − | 0.433161i | \(-0.142602\pi\) |
−0.433161 | + | 0.901317i | \(0.642602\pi\) | |||||||
\(14\) | −3.73065 | − | 0.286809i | −0.997058 | − | 0.0766529i | ||||
\(15\) | 0.597286 | + | 3.49046i | 0.154219 | + | 0.901232i | ||||
\(16\) | −3.92590 | + | 0.766373i | −0.981474 | + | 0.191593i | ||||
\(17\) | 0.335857 | − | 1.25343i | 0.0814572 | − | 0.304002i | −0.913163 | − | 0.407596i | \(-0.866367\pi\) |
0.994620 | + | 0.103593i | \(0.0330340\pi\) | |||||||
\(18\) | 0.662615 | − | 0.212251i | 0.156180 | − | 0.0500280i | ||||
\(19\) | 6.62328 | + | 3.82395i | 1.51948 | + | 0.877275i | 0.999736 | + | 0.0229553i | \(0.00730755\pi\) |
0.519748 | + | 0.854320i | \(0.326026\pi\) | |||||||
\(20\) | 3.86385 | − | 2.25182i | 0.863983 | − | 0.503522i | ||||
\(21\) | 1.62654 | + | 3.86140i | 0.354941 | + | 0.842627i | ||||
\(22\) | 4.86841 | + | 1.05602i | 1.03795 | + | 0.225144i | ||||
\(23\) | −3.50951 | + | 0.940371i | −0.731784 | + | 0.196081i | −0.605424 | − | 0.795903i | \(-0.706996\pi\) |
−0.126360 | + | 0.991984i | \(0.540330\pi\) | |||||||
\(24\) | 2.77521 | + | 3.51600i | 0.566488 | + | 0.717701i | ||||
\(25\) | −3.25250 | + | 3.79754i | −0.650499 | + | 0.759507i | ||||
\(26\) | −3.37200 | + | 0.162644i | −0.661303 | + | 0.0318971i | ||||
\(27\) | −3.91041 | − | 3.91041i | −0.752559 | − | 0.752559i | ||||
\(28\) | 3.84688 | − | 3.63339i | 0.726991 | − | 0.686647i | ||||
\(29\) | −5.07439 | −0.942291 | −0.471146 | − | 0.882055i | \(-0.656159\pi\) | ||||
−0.471146 | + | 0.882055i | \(0.656159\pi\) | |||||||
\(30\) | −4.22238 | − | 2.69287i | −0.770898 | − | 0.491649i | ||||
\(31\) | 2.42122 | − | 1.39789i | 0.434864 | − | 0.251069i | −0.266552 | − | 0.963820i | \(-0.585885\pi\) |
0.701417 | + | 0.712751i | \(0.252551\pi\) | |||||||
\(32\) | 2.92979 | − | 4.83904i | 0.517919 | − | 0.855430i | ||||
\(33\) | −1.44383 | − | 5.38846i | −0.251339 | − | 0.938010i | ||||
\(34\) | 0.993080 | + | 1.54324i | 0.170312 | + | 0.264663i | ||||
\(35\) | −2.72691 | + | 5.25014i | −0.460932 | + | 0.887435i | ||||
\(36\) | −0.407692 | + | 0.895547i | −0.0679487 | + | 0.149258i | ||||
\(37\) | −0.340662 | − | 1.27137i | −0.0560045 | − | 0.209012i | 0.932254 | − | 0.361806i | \(-0.117840\pi\) |
−0.988258 | + | 0.152794i | \(0.951173\pi\) | |||||||
\(38\) | −10.3002 | + | 3.29940i | −1.67092 | + | 0.535233i | ||||
\(39\) | 1.89022 | + | 3.27395i | 0.302677 | + | 0.524252i | ||||
\(40\) | −1.31552 | + | 6.18623i | −0.208002 | + | 0.978128i | ||||
\(41\) | −4.50117 | −0.702965 | −0.351483 | − | 0.936194i | \(-0.614322\pi\) | ||||
−0.351483 | + | 0.936194i | \(0.614322\pi\) | |||||||
\(42\) | −5.58924 | − | 1.96787i | −0.862439 | − | 0.303648i | ||||
\(43\) | 7.05995 | − | 7.05995i | 1.07663 | − | 1.07663i | 0.0798234 | − | 0.996809i | \(-0.474564\pi\) |
0.996809 | − | 0.0798234i | \(-0.0254357\pi\) | |||||||
\(44\) | −5.73387 | + | 4.09339i | −0.864414 | + | 0.617102i | ||||
\(45\) | 0.101421 | − | 1.09544i | 0.0151189 | − | 0.163298i | ||||
\(46\) | 2.35177 | − | 4.56849i | 0.346750 | − | 0.673587i | ||||
\(47\) | 2.14078 | + | 7.98948i | 0.312264 | + | 1.16539i | 0.926510 | + | 0.376271i | \(0.122794\pi\) |
−0.614246 | + | 0.789115i | \(0.710540\pi\) | |||||||
\(48\) | −6.31960 | − | 0.436835i | −0.912156 | − | 0.0630517i | ||||
\(49\) | −1.73080 | + | 6.78265i | −0.247258 | + | 0.968950i | ||||
\(50\) | −0.884061 | − | 7.01559i | −0.125025 | − | 0.992154i | ||||
\(51\) | 1.02752 | − | 1.77973i | 0.143882 | − | 0.249211i | ||||
\(52\) | 3.03534 | − | 3.68516i | 0.420926 | − | 0.511039i | ||||
\(53\) | 3.15330 | − | 11.7683i | 0.433139 | − | 1.61650i | −0.312340 | − | 0.949970i | \(-0.601113\pi\) |
0.745480 | − | 0.666528i | \(-0.232220\pi\) | |||||||
\(54\) | 7.81174 | − | 0.376789i | 1.06304 | − | 0.0512745i | ||||
\(55\) | 4.55041 | − | 6.42925i | 0.613577 | − | 0.866919i | ||||
\(56\) | 0.147146 | + | 7.48187i | 0.0196632 | + | 0.999807i | ||||
\(57\) | 8.56430 | + | 8.56430i | 1.13437 | + | 1.13437i | ||||
\(58\) | 4.82403 | − | 5.31297i | 0.633426 | − | 0.697628i | ||||
\(59\) | 10.7678 | − | 6.21679i | 1.40185 | − | 0.809357i | 0.407265 | − | 0.913310i | \(-0.366482\pi\) |
0.994582 | + | 0.103953i | \(0.0331492\pi\) | |||||||
\(60\) | 6.83354 | − | 1.86089i | 0.882206 | − | 0.240240i | ||||
\(61\) | −11.1830 | − | 6.45654i | −1.43184 | − | 0.826675i | −0.434581 | − | 0.900633i | \(-0.643104\pi\) |
−0.997261 | + | 0.0739580i | \(0.976437\pi\) | |||||||
\(62\) | −0.838145 | + | 3.86398i | −0.106444 | + | 0.490726i | ||||
\(63\) | −0.177612 | − | 1.28951i | −0.0223770 | − | 0.162463i | ||||
\(64\) | 2.28132 | + | 7.66783i | 0.285164 | + | 0.958479i | ||||
\(65\) | −1.85096 | + | 5.00660i | −0.229584 | + | 0.620992i | ||||
\(66\) | 7.01440 | + | 3.61088i | 0.863413 | + | 0.444469i | ||||
\(67\) | 0.866858 | − | 3.23516i | 0.105904 | − | 0.395238i | −0.892543 | − | 0.450963i | \(-0.851081\pi\) |
0.998446 | + | 0.0557257i | \(0.0177472\pi\) | |||||||
\(68\) | −2.55988 | − | 0.427325i | −0.310431 | − | 0.0518208i | ||||
\(69\) | −5.75397 | −0.692697 | ||||||||
\(70\) | −2.90461 | − | 7.84622i | −0.347168 | − | 0.937803i | ||||
\(71\) | − | 2.60984i | − | 0.309731i | −0.987936 | − | 0.154865i | \(-0.950506\pi\) | ||
0.987936 | − | 0.154865i | \(-0.0494944\pi\) | |||||||
\(72\) | −0.550075 | − | 1.27822i | −0.0648270 | − | 0.150640i | ||||
\(73\) | 1.56766 | + | 0.420053i | 0.183481 | + | 0.0491635i | 0.349389 | − | 0.936978i | \(-0.386389\pi\) |
−0.165909 | + | 0.986141i | \(0.553056\pi\) | |||||||
\(74\) | 1.65500 | + | 0.851962i | 0.192390 | + | 0.0990386i | ||||
\(75\) | −6.53191 | + | 4.47597i | −0.754241 | + | 0.516841i | ||||
\(76\) | 6.33751 | − | 13.9211i | 0.726962 | − | 1.59686i | ||||
\(77\) | 3.51501 | − | 8.63150i | 0.400572 | − | 0.983651i | ||||
\(78\) | −5.22484 | − | 1.13333i | −0.591596 | − | 0.128324i | ||||
\(79\) | 3.66367 | − | 6.34566i | 0.412195 | − | 0.713942i | −0.582935 | − | 0.812519i | \(-0.698096\pi\) |
0.995129 | + | 0.0985767i | \(0.0314290\pi\) | |||||||
\(80\) | −5.22647 | − | 7.25838i | −0.584337 | − | 0.811511i | ||||
\(81\) | −3.64099 | − | 6.30638i | −0.404554 | − | 0.700708i | ||||
\(82\) | 4.27909 | − | 4.71280i | 0.472547 | − | 0.520442i | ||||
\(83\) | 4.94034 | − | 4.94034i | 0.542273 | − | 0.542273i | −0.381921 | − | 0.924195i | \(-0.624738\pi\) |
0.924195 | + | 0.381921i | \(0.124738\pi\) | |||||||
\(84\) | 7.37386 | − | 3.98125i | 0.804555 | − | 0.434391i | ||||
\(85\) | 2.86006 | − | 0.489413i | 0.310217 | − | 0.0530843i | ||||
\(86\) | 0.680264 | + | 14.1035i | 0.0733548 | + | 1.52082i | ||||
\(87\) | −7.76234 | − | 2.07991i | −0.832210 | − | 0.222990i | ||||
\(88\) | 1.16512 | − | 9.89489i | 0.124203 | − | 1.05480i | ||||
\(89\) | −4.71065 | − | 2.71969i | −0.499328 | − | 0.288287i | 0.229108 | − | 0.973401i | \(-0.426419\pi\) |
−0.728436 | + | 0.685114i | \(0.759752\pi\) | |||||||
\(90\) | 1.05053 | + | 1.14758i | 0.110735 | + | 0.120966i | ||||
\(91\) | −0.786943 | + | 6.26655i | −0.0824941 | + | 0.656913i | ||||
\(92\) | 2.54755 | + | 6.80543i | 0.265600 | + | 0.709515i | ||||
\(93\) | 4.27674 | − | 1.14595i | 0.443477 | − | 0.118829i | ||||
\(94\) | −10.4003 | − | 5.35386i | −1.07271 | − | 0.552209i | ||||
\(95\) | −1.57657 | + | 17.0284i | −0.161752 | + | 1.74708i | ||||
\(96\) | 6.46517 | − | 6.20144i | 0.659849 | − | 0.632932i | ||||
\(97\) | −5.73033 | − | 5.73033i | −0.581827 | − | 0.581827i | 0.353578 | − | 0.935405i | \(-0.384965\pi\) |
−0.935405 | + | 0.353578i | \(0.884965\pi\) | |||||||
\(98\) | −5.45614 | − | 8.26018i | −0.551153 | − | 0.834404i | ||||
\(99\) | 1.73306i | 0.174179i | ||||||||
\(100\) | 8.18588 | + | 5.74382i | 0.818588 | + | 0.574382i | ||||
\(101\) | −1.55648 | + | 0.898635i | −0.154876 | + | 0.0894175i | −0.575435 | − | 0.817848i | \(-0.695167\pi\) |
0.420559 | + | 0.907265i | \(0.361834\pi\) | |||||||
\(102\) | 0.886574 | + | 2.76775i | 0.0877839 | + | 0.274048i | ||||
\(103\) | 0.396755 | − | 0.106310i | 0.0390934 | − | 0.0104751i | −0.239219 | − | 0.970966i | \(-0.576891\pi\) |
0.278313 | + | 0.960491i | \(0.410225\pi\) | |||||||
\(104\) | 0.972843 | + | 6.68138i | 0.0953951 | + | 0.655164i | ||||
\(105\) | −6.32332 | + | 6.91346i | −0.617093 | + | 0.674685i | ||||
\(106\) | 9.32387 | + | 14.4892i | 0.905614 | + | 1.40732i | ||||
\(107\) | 2.19245 | − | 0.587465i | 0.211952 | − | 0.0567924i | −0.151281 | − | 0.988491i | \(-0.548340\pi\) |
0.363233 | + | 0.931698i | \(0.381673\pi\) | |||||||
\(108\) | −7.03182 | + | 8.53722i | −0.676637 | + | 0.821495i | ||||
\(109\) | 1.42491 | + | 2.46801i | 0.136481 | + | 0.236392i | 0.926162 | − | 0.377125i | \(-0.123087\pi\) |
−0.789681 | + | 0.613517i | \(0.789754\pi\) | |||||||
\(110\) | 2.40563 | + | 10.8764i | 0.229368 | + | 1.03702i | ||||
\(111\) | − | 2.08445i | − | 0.197848i | ||||||
\(112\) | −7.97352 | − | 6.95866i | −0.753427 | − | 0.657531i | ||||
\(113\) | −6.70606 | + | 6.70606i | −0.630853 | + | 0.630853i | −0.948282 | − | 0.317429i | \(-0.897180\pi\) |
0.317429 | + | 0.948282i | \(0.397180\pi\) | |||||||
\(114\) | −17.1087 | + | 0.825216i | −1.60238 | + | 0.0772886i | ||||
\(115\) | −5.19070 | − | 6.24992i | −0.484035 | − | 0.582808i | ||||
\(116\) | 0.976754 | + | 10.1017i | 0.0906894 | + | 0.937917i | ||||
\(117\) | −0.303969 | − | 1.13443i | −0.0281020 | − | 0.104878i | ||||
\(118\) | −3.72744 | + | 17.1841i | −0.343139 | + | 1.58193i | ||||
\(119\) | 3.16401 | − | 1.33278i | 0.290045 | − | 0.122176i | ||||
\(120\) | −4.54799 | + | 8.92391i | −0.415173 | + | 0.814638i | ||||
\(121\) | −0.704146 | + | 1.21962i | −0.0640133 | + | 0.110874i | ||||
\(122\) | 17.3914 | − | 5.57086i | 1.57454 | − | 0.504362i | ||||
\(123\) | −6.88548 | − | 1.84496i | −0.620843 | − | 0.166354i | ||||
\(124\) | −3.24886 | − | 4.55089i | −0.291756 | − | 0.408682i | ||||
\(125\) | −10.7543 | − | 3.05711i | −0.961890 | − | 0.273436i | ||||
\(126\) | 1.51899 | + | 1.03992i | 0.135322 | + | 0.0926438i | ||||
\(127\) | 1.37573 | − | 1.37573i | 0.122076 | − | 0.122076i | −0.643429 | − | 0.765506i | \(-0.722489\pi\) |
0.765506 | + | 0.643429i | \(0.222489\pi\) | |||||||
\(128\) | −10.1971 | − | 4.90093i | −0.901305 | − | 0.433185i | ||||
\(129\) | 13.6934 | − | 7.90590i | 1.20564 | − | 0.696076i | ||||
\(130\) | −3.48235 | − | 6.69757i | −0.305422 | − | 0.587415i | ||||
\(131\) | 2.04335 | − | 3.53919i | 0.178528 | − | 0.309220i | −0.762848 | − | 0.646578i | \(-0.776200\pi\) |
0.941377 | + | 0.337357i | \(0.109533\pi\) | |||||||
\(132\) | −10.4490 | + | 3.91147i | −0.909466 | + | 0.340450i | ||||
\(133\) | 2.76095 | + | 20.0452i | 0.239405 | + | 1.73814i | ||||
\(134\) | 2.56318 | + | 3.98315i | 0.221425 | + | 0.344092i | ||||
\(135\) | 4.28804 | − | 11.5985i | 0.369056 | − | 0.998243i | ||||
\(136\) | 2.88099 | − | 2.27399i | 0.247043 | − | 0.194993i | ||||
\(137\) | −4.92103 | + | 18.3655i | −0.420432 | + | 1.56907i | 0.353268 | + | 0.935522i | \(0.385070\pi\) |
−0.773700 | + | 0.633552i | \(0.781596\pi\) | |||||||
\(138\) | 5.47008 | − | 6.02450i | 0.465644 | − | 0.512840i | ||||
\(139\) | − | 4.28772i | − | 0.363680i | −0.983328 | − | 0.181840i | \(-0.941795\pi\) | ||
0.983328 | − | 0.181840i | \(-0.0582052\pi\) | |||||||
\(140\) | 10.9764 | + | 4.41792i | 0.927677 | + | 0.373382i | ||||
\(141\) | 13.0990i | 1.10314i | ||||||||
\(142\) | 2.73254 | + | 2.48107i | 0.229310 | + | 0.208207i | ||||
\(143\) | 2.17635 | − | 8.12226i | 0.181996 | − | 0.679217i | ||||
\(144\) | 1.86126 | + | 0.639218i | 0.155105 | + | 0.0532682i | ||||
\(145\) | −4.74328 | − | 10.3077i | −0.393908 | − | 0.856008i | ||||
\(146\) | −1.93011 | + | 1.24204i | −0.159737 | + | 0.102792i | ||||
\(147\) | −5.42772 | + | 9.66604i | −0.447671 | + | 0.797241i | ||||
\(148\) | −2.46536 | + | 0.922884i | −0.202651 | + | 0.0758606i | ||||
\(149\) | −1.06581 | + | 1.84604i | −0.0873149 | + | 0.151234i | −0.906375 | − | 0.422473i | \(-0.861162\pi\) |
0.819060 | + | 0.573707i | \(0.194495\pi\) | |||||||
\(150\) | 1.52322 | − | 11.0942i | 0.124370 | − | 0.905834i | ||||
\(151\) | −13.8226 | + | 7.98046i | −1.12486 | + | 0.649441i | −0.942638 | − | 0.333816i | \(-0.891664\pi\) |
−0.182226 | + | 0.983257i | \(0.558330\pi\) | |||||||
\(152\) | 8.55083 | + | 19.8697i | 0.693564 | + | 1.61165i | ||||
\(153\) | −0.451439 | + | 0.451439i | −0.0364967 | + | 0.0364967i | ||||
\(154\) | 5.69574 | + | 11.8859i | 0.458976 | + | 0.957793i | ||||
\(155\) | 5.10279 | + | 3.61159i | 0.409866 | + | 0.290090i | ||||
\(156\) | 6.15366 | − | 4.39308i | 0.492687 | − | 0.351728i | ||||
\(157\) | −0.299000 | − | 0.0801167i | −0.0238628 | − | 0.00639401i | 0.246868 | − | 0.969049i | \(-0.420599\pi\) |
−0.270731 | + | 0.962655i | \(0.587265\pi\) | |||||||
\(158\) | 3.16110 | + | 9.86849i | 0.251484 | + | 0.785095i | ||||
\(159\) | 9.64726 | − | 16.7095i | 0.765078 | − | 1.32515i | ||||
\(160\) | 12.5682 | + | 1.42806i | 0.993607 | + | 0.112898i | ||||
\(161\) | −7.66121 | − | 5.80626i | −0.603788 | − | 0.457597i | ||||
\(162\) | 10.0642 | + | 2.18305i | 0.790720 | + | 0.171517i | ||||
\(163\) | 4.73174 | + | 17.6591i | 0.370618 | + | 1.38317i | 0.859643 | + | 0.510896i | \(0.170686\pi\) |
−0.489024 | + | 0.872270i | \(0.662647\pi\) | |||||||
\(164\) | 0.866417 | + | 8.96056i | 0.0676558 | + | 0.699702i | ||||
\(165\) | 9.59604 | − | 7.96973i | 0.747051 | − | 0.620442i | ||||
\(166\) | 0.476029 | + | 9.86922i | 0.0369470 | + | 0.766000i | ||||
\(167\) | −11.0028 | + | 11.0028i | −0.851425 | + | 0.851425i | −0.990309 | − | 0.138884i | \(-0.955649\pi\) |
0.138884 | + | 0.990309i | \(0.455649\pi\) | |||||||
\(168\) | −2.84161 | + | 11.5054i | −0.219235 | + | 0.887659i | ||||
\(169\) | − | 7.30159i | − | 0.561660i | ||||||
\(170\) | −2.20653 | + | 3.45980i | −0.169233 | + | 0.265354i | ||||
\(171\) | −1.88135 | − | 3.25859i | −0.143870 | − | 0.249191i | ||||
\(172\) | −15.4133 | − | 12.6954i | −1.17525 | − | 0.968016i | ||||
\(173\) | −4.03885 | + | 1.08221i | −0.307068 | + | 0.0822786i | −0.409063 | − | 0.912506i | \(-0.634144\pi\) |
0.101995 | + | 0.994785i | \(0.467478\pi\) | |||||||
\(174\) | 9.55706 | − | 6.15000i | 0.724518 | − | 0.466231i | ||||
\(175\) | −13.2137 | − | 0.631667i | −0.998859 | − | 0.0477495i | ||||
\(176\) | 9.25247 | + | 10.6266i | 0.697431 | + | 0.801009i | ||||
\(177\) | 19.0197 | − | 5.09632i | 1.42961 | − | 0.383063i | ||||
\(178\) | 7.32579 | − | 2.34662i | 0.549091 | − | 0.175886i | ||||
\(179\) | −17.6513 | + | 10.1910i | −1.31932 | + | 0.761711i | −0.983619 | − | 0.180257i | \(-0.942307\pi\) |
−0.335702 | + | 0.941968i | \(0.608974\pi\) | |||||||
\(180\) | −2.20023 | + | 0.00895801i | −0.163995 | + | 0.000667691i | ||||
\(181\) | 17.3870i | 1.29237i | 0.763182 | + | 0.646183i | \(0.223636\pi\) | ||||
−0.763182 | + | 0.646183i | \(0.776364\pi\) | |||||||
\(182\) | −5.81306 | − | 6.78131i | −0.430893 | − | 0.502664i | ||||
\(183\) | −14.4604 | − | 14.4604i | −1.06894 | − | 1.06894i | ||||
\(184\) | −9.54725 | − | 3.80234i | −0.703833 | − | 0.280312i | ||||
\(185\) | 2.26412 | − | 1.88040i | 0.166461 | − | 0.138250i | ||||
\(186\) | −2.86590 | + | 5.56722i | −0.210138 | + | 0.408208i | ||||
\(187\) | −4.41527 | + | 1.18307i | −0.322877 | + | 0.0865146i | ||||
\(188\) | 15.4927 | − | 5.79955i | 1.12992 | − | 0.422975i | ||||
\(189\) | 1.82307 | − | 14.5174i | 0.132609 | − | 1.05599i | ||||
\(190\) | −16.3302 | − | 17.8389i | −1.18472 | − | 1.29417i | ||||
\(191\) | −2.18647 | − | 1.26236i | −0.158208 | − | 0.0913412i | 0.418806 | − | 0.908076i | \(-0.362449\pi\) |
−0.577014 | + | 0.816735i | \(0.695782\pi\) | |||||||
\(192\) | 0.346826 | + | 12.6646i | 0.0250300 | + | 0.913989i | ||||
\(193\) | 26.5441 | + | 7.11247i | 1.91069 | + | 0.511967i | 0.993550 | + | 0.113396i | \(0.0361730\pi\) |
0.917138 | + | 0.398571i | \(0.130494\pi\) | |||||||
\(194\) | 11.4474 | − | 0.552148i | 0.821872 | − | 0.0396419i | ||||
\(195\) | −4.88356 | + | 6.89995i | −0.349719 | + | 0.494115i | ||||
\(196\) | 13.8355 | + | 2.13997i | 0.988249 | + | 0.152855i | ||||
\(197\) | 16.1289 | − | 16.1289i | 1.14913 | − | 1.14913i | 0.162412 | − | 0.986723i | \(-0.448073\pi\) |
0.986723 | − | 0.162412i | \(-0.0519273\pi\) | |||||||
\(198\) | −1.81454 | − | 1.64755i | −0.128954 | − | 0.117086i | ||||
\(199\) | 2.41828 | + | 4.18858i | 0.171427 | + | 0.296921i | 0.938919 | − | 0.344138i | \(-0.111829\pi\) |
−0.767492 | + | 0.641059i | \(0.778495\pi\) | |||||||
\(200\) | −13.7959 | + | 3.11032i | −0.975515 | + | 0.219933i | ||||
\(201\) | 2.65208 | − | 4.59353i | 0.187063 | − | 0.324003i | ||||
\(202\) | 0.538801 | − | 2.48396i | 0.0379099 | − | 0.174771i | ||||
\(203\) | −8.23647 | − | 10.6022i | −0.578087 | − | 0.744129i | ||||
\(204\) | −3.74071 | − | 1.70294i | −0.261902 | − | 0.119229i | ||||
\(205\) | −4.20746 | − | 9.14331i | −0.293862 | − | 0.638596i | ||||
\(206\) | −0.265871 | + | 0.516474i | −0.0185241 | + | 0.0359845i | ||||
\(207\) | 1.72665 | + | 0.462653i | 0.120010 | + | 0.0321566i | ||||
\(208\) | −7.92036 | − | 5.33315i | −0.549178 | − | 0.369787i | ||||
\(209\) | − | 26.9401i | − | 1.86348i | ||||||
\(210\) | −1.22717 | − | 13.1930i | −0.0846827 | − | 0.910402i | ||||
\(211\) | −8.85681 | −0.609728 | −0.304864 | − | 0.952396i | \(-0.598611\pi\) | ||||
−0.304864 | + | 0.952396i | \(0.598611\pi\) | |||||||
\(212\) | −24.0343 | − | 4.01209i | −1.65068 | − | 0.275551i | ||||
\(213\) | 1.06973 | − | 3.99229i | 0.0732967 | − | 0.273547i | ||||
\(214\) | −1.46919 | + | 2.85401i | −0.100432 | + | 0.195096i | ||||
\(215\) | 20.9403 | + | 7.74173i | 1.42811 | + | 0.527981i | ||||
\(216\) | −2.25374 | − | 15.4784i | −0.153347 | − | 1.05317i | ||||
\(217\) | 6.85069 | + | 2.78981i | 0.465055 | + | 0.189385i | ||||
\(218\) | −3.93865 | − | 0.854340i | −0.266759 | − | 0.0578632i | ||||
\(219\) | 2.22589 | + | 1.28512i | 0.150411 | + | 0.0868401i | ||||
\(220\) | −13.6747 | − | 7.82103i | −0.921948 | − | 0.527294i | ||||
\(221\) | 2.68266 | − | 1.54883i | 0.180455 | − | 0.104186i | ||||
\(222\) | 2.18246 | + | 1.98161i | 0.146477 | + | 0.132997i | ||||
\(223\) | 0.581823 | + | 0.581823i | 0.0389618 | + | 0.0389618i | 0.726319 | − | 0.687358i | \(-0.241229\pi\) |
−0.687358 | + | 0.726319i | \(0.741229\pi\) | |||||||
\(224\) | 14.8659 | − | 1.73309i | 0.993273 | − | 0.115797i | ||||
\(225\) | 2.31999 | − | 0.817941i | 0.154666 | − | 0.0545294i | ||||
\(226\) | −0.646164 | − | 13.3965i | −0.0429822 | − | 0.891125i | ||||
\(227\) | −2.52248 | + | 9.41401i | −0.167423 | + | 0.624829i | 0.830296 | + | 0.557322i | \(0.188171\pi\) |
−0.997719 | + | 0.0675072i | \(0.978495\pi\) | |||||||
\(228\) | 15.4006 | − | 18.6976i | 1.01993 | − | 1.23828i | ||||
\(229\) | −5.21707 | + | 9.03624i | −0.344754 | + | 0.597131i | −0.985309 | − | 0.170781i | \(-0.945371\pi\) |
0.640555 | + | 0.767912i | \(0.278704\pi\) | |||||||
\(230\) | 11.4784 | + | 0.506811i | 0.756861 | + | 0.0334181i | ||||
\(231\) | 8.91485 | − | 11.7629i | 0.586554 | − | 0.773943i | ||||
\(232\) | −11.5052 | − | 8.58059i | −0.755352 | − | 0.563343i | ||||
\(233\) | 3.47955 | + | 12.9859i | 0.227953 | + | 0.850732i | 0.981200 | + | 0.192994i | \(0.0618199\pi\) |
−0.753247 | + | 0.657738i | \(0.771513\pi\) | |||||||
\(234\) | 1.47674 | + | 0.760197i | 0.0965374 | + | 0.0496956i | ||||
\(235\) | −14.2281 | + | 11.8167i | −0.928138 | + | 0.770839i | ||||
\(236\) | −14.4485 | − | 20.2390i | −0.940518 | − | 1.31744i | ||||
\(237\) | 8.20532 | − | 8.20532i | 0.532993 | − | 0.532993i | ||||
\(238\) | −1.61246 | + | 4.57980i | −0.104520 | + | 0.296864i | ||||
\(239\) | −26.1978 | −1.69460 | −0.847298 | − | 0.531118i | \(-0.821772\pi\) | ||||
−0.847298 | + | 0.531118i | \(0.821772\pi\) | |||||||
\(240\) | −5.01988 | − | 13.2454i | −0.324032 | − | 0.854989i | ||||
\(241\) | −10.5712 | − | 18.3099i | −0.680953 | − | 1.17945i | −0.974690 | − | 0.223559i | \(-0.928232\pi\) |
0.293737 | − | 0.955886i | \(-0.405101\pi\) | |||||||
\(242\) | −0.607555 | − | 1.89669i | −0.0390551 | − | 0.121924i | ||||
\(243\) | 1.30917 | + | 4.88588i | 0.0839831 | + | 0.313429i | ||||
\(244\) | −10.7005 | + | 23.5051i | −0.685032 | + | 1.50476i | ||||
\(245\) | −15.3956 | + | 2.82425i | −0.983587 | + | 0.180435i | ||||
\(246\) | 8.47746 | − | 5.45528i | 0.540503 | − | 0.347816i | ||||
\(247\) | 4.72515 | + | 17.6345i | 0.300654 | + | 1.12206i | ||||
\(248\) | 7.85342 | + | 0.924741i | 0.498693 | + | 0.0587211i | ||||
\(249\) | 9.58225 | − | 5.53231i | 0.607250 | − | 0.350596i | ||||
\(250\) | 13.4245 | − | 8.35361i | 0.849040 | − | 0.528328i | ||||
\(251\) | 12.3678 | 0.780648 | 0.390324 | − | 0.920677i | \(-0.372363\pi\) | ||||
0.390324 | + | 0.920677i | \(0.372363\pi\) | |||||||
\(252\) | −2.53286 | + | 0.601789i | −0.159555 | + | 0.0379091i | ||||
\(253\) | 9.04991 | + | 9.04991i | 0.568963 | + | 0.568963i | ||||
\(254\) | 0.132559 | + | 2.74827i | 0.00831749 | + | 0.172442i | ||||
\(255\) | 4.57566 | + | 0.423635i | 0.286539 | + | 0.0265291i | ||||
\(256\) | 14.8253 | − | 6.01741i | 0.926584 | − | 0.376088i | ||||
\(257\) | 7.05835 | − | 1.89128i | 0.440288 | − | 0.117975i | −0.0318637 | − | 0.999492i | \(-0.510144\pi\) |
0.472151 | + | 0.881517i | \(0.343478\pi\) | |||||||
\(258\) | −4.74019 | + | 21.8531i | −0.295112 | + | 1.36051i | ||||
\(259\) | 2.10340 | − | 2.77538i | 0.130699 | − | 0.172454i | ||||
\(260\) | 10.3230 | + | 2.72104i | 0.640205 | + | 0.168752i | ||||
\(261\) | 2.16208 | + | 1.24828i | 0.133829 | + | 0.0772664i | ||||
\(262\) | 1.76305 | + | 5.50399i | 0.108922 | + | 0.340038i | ||||
\(263\) | −0.181866 | + | 0.678733i | −0.0112143 | + | 0.0418524i | −0.971306 | − | 0.237832i | \(-0.923563\pi\) |
0.960092 | + | 0.279685i | \(0.0902299\pi\) | |||||||
\(264\) | 5.83805 | − | 14.6587i | 0.359307 | − | 0.902182i | ||||
\(265\) | 26.8527 | − | 4.59502i | 1.64955 | − | 0.282270i | ||||
\(266\) | −23.6124 | − | 16.1654i | −1.44777 | − | 0.991167i | ||||
\(267\) | −6.09115 | − | 6.09115i | −0.372773 | − | 0.372773i | ||||
\(268\) | −6.60714 | − | 1.10294i | −0.403595 | − | 0.0673729i | ||||
\(269\) | 13.5648 | + | 23.4949i | 0.827059 | + | 1.43251i | 0.900335 | + | 0.435197i | \(0.143321\pi\) |
−0.0732765 | + | 0.997312i | \(0.523346\pi\) | |||||||
\(270\) | 8.06738 | + | 15.5159i | 0.490965 | + | 0.944269i | ||||
\(271\) | −8.49993 | − | 4.90744i | −0.516334 | − | 0.298106i | 0.219100 | − | 0.975703i | \(-0.429688\pi\) |
−0.735433 | + | 0.677597i | \(0.763021\pi\) | |||||||
\(272\) | −0.357940 | + | 5.17825i | −0.0217033 | + | 0.313977i | ||||
\(273\) | −3.77235 | + | 9.26343i | −0.228313 | + | 0.560648i | ||||
\(274\) | −14.5508 | − | 22.6118i | −0.879045 | − | 1.36603i | ||||
\(275\) | 17.3133 | + | 3.23361i | 1.04403 | + | 0.194994i | ||||
\(276\) | 1.10756 | + | 11.4545i | 0.0666675 | + | 0.689481i | ||||
\(277\) | 9.72480 | + | 2.60575i | 0.584306 | + | 0.156564i | 0.538850 | − | 0.842402i | \(-0.318859\pi\) |
0.0454566 | + | 0.998966i | \(0.485526\pi\) | |||||||
\(278\) | 4.48931 | + | 4.07617i | 0.269251 | + | 0.244472i | ||||
\(279\) | −1.37550 | −0.0823490 | ||||||||
\(280\) | −15.0605 | + | 7.29256i | −0.900037 | + | 0.435814i | ||||
\(281\) | −18.5208 | −1.10486 | −0.552429 | − | 0.833560i | \(-0.686299\pi\) | ||||
−0.552429 | + | 0.833560i | \(0.686299\pi\) | |||||||
\(282\) | −13.7149 | − | 12.4527i | −0.816711 | − | 0.741550i | ||||
\(283\) | 5.38049 | + | 1.44170i | 0.319837 | + | 0.0857000i | 0.415166 | − | 0.909746i | \(-0.363724\pi\) |
−0.0953290 | + | 0.995446i | \(0.530390\pi\) | |||||||
\(284\) | −5.19544 | + | 0.502359i | −0.308293 | + | 0.0298095i | ||||
\(285\) | −9.39135 | + | 25.4023i | −0.556296 | + | 1.50470i | ||||
\(286\) | 6.43516 | + | 10.0002i | 0.380519 | + | 0.591324i | ||||
\(287\) | −7.30606 | − | 9.40455i | −0.431263 | − | 0.555133i | ||||
\(288\) | −2.43870 | + | 1.34108i | −0.143701 | + | 0.0790242i | ||||
\(289\) | 13.2641 | + | 7.65805i | 0.780243 | + | 0.450474i | ||||
\(290\) | 15.3016 | + | 4.83284i | 0.898540 | + | 0.283794i | ||||
\(291\) | −6.41696 | − | 11.1145i | −0.376169 | − | 0.651543i | ||||
\(292\) | 0.534452 | − | 3.20162i | 0.0312764 | − | 0.187360i | ||||
\(293\) | −3.56250 | − | 3.56250i | −0.208123 | − | 0.208123i | 0.595346 | − | 0.803469i | \(-0.297015\pi\) |
−0.803469 | + | 0.595346i | \(0.797015\pi\) | |||||||
\(294\) | −4.96058 | − | 14.8720i | −0.289307 | − | 0.867355i | ||||
\(295\) | 22.6934 | + | 16.0617i | 1.32126 | + | 0.935147i | ||||
\(296\) | 1.37745 | − | 3.45862i | 0.0800626 | − | 0.201028i | ||||
\(297\) | −5.04185 | + | 18.8164i | −0.292558 | + | 1.09184i | ||||
\(298\) | −0.919610 | − | 2.87089i | −0.0532716 | − | 0.166306i | ||||
\(299\) | −7.51122 | − | 4.33661i | −0.434385 | − | 0.250792i | ||||
\(300\) | 10.1677 | + | 12.1416i | 0.587032 | + | 0.700997i | ||||
\(301\) | 26.2101 | + | 3.29142i | 1.51072 | + | 0.189714i | ||||
\(302\) | 4.78490 | − | 22.0592i | 0.275340 | − | 1.26936i | ||||
\(303\) | −2.74930 | + | 0.736672i | −0.157943 | + | 0.0423207i | ||||
\(304\) | −28.9329 | − | 9.93654i | −1.65942 | − | 0.569900i | ||||
\(305\) | 2.66195 | − | 28.7515i | 0.152423 | − | 1.64631i | ||||
\(306\) | −0.0434986 | − | 0.901830i | −0.00248665 | − | 0.0515542i | ||||
\(307\) | −1.49192 | − | 1.49192i | −0.0851481 | − | 0.0851481i | 0.663250 | − | 0.748398i | \(-0.269177\pi\) |
−0.748398 | + | 0.663250i | \(0.769177\pi\) | |||||||
\(308\) | −17.8595 | − | 5.33593i | −1.01764 | − | 0.304043i | ||||
\(309\) | 0.650494 | 0.0370053 | ||||||||
\(310\) | −8.63243 | + | 1.90931i | −0.490289 | + | 0.108442i | ||||
\(311\) | 12.4858 | − | 7.20869i | 0.708006 | − | 0.408767i | −0.102316 | − | 0.994752i | \(-0.532625\pi\) |
0.810322 | + | 0.585985i | \(0.199292\pi\) | |||||||
\(312\) | −1.25043 | + | 10.6193i | −0.0707914 | + | 0.601200i | ||||
\(313\) | 1.56812 | + | 5.85232i | 0.0886356 | + | 0.330793i | 0.995978 | − | 0.0896003i | \(-0.0285589\pi\) |
−0.907342 | + | 0.420393i | \(0.861892\pi\) | |||||||
\(314\) | 0.368131 | − | 0.236894i | 0.0207748 | − | 0.0133687i | ||||
\(315\) | 2.45338 | − | 1.56615i | 0.138232 | − | 0.0882427i | ||||
\(316\) | −13.3376 | − | 6.07186i | −0.750299 | − | 0.341569i | ||||
\(317\) | 4.39736 | + | 16.4112i | 0.246981 | + | 0.921744i | 0.972378 | + | 0.233413i | \(0.0749895\pi\) |
−0.725397 | + | 0.688331i | \(0.758344\pi\) | |||||||
\(318\) | 8.32390 | + | 25.9860i | 0.466781 | + | 1.45722i | ||||
\(319\) | 8.93738 | + | 15.4800i | 0.500397 | + | 0.866713i | ||||
\(320\) | −13.4433 | + | 11.8016i | −0.751505 | + | 0.659727i | ||||
\(321\) | 3.59460 | 0.200631 | ||||||||
\(322\) | 13.3625 | − | 2.50163i | 0.744661 | − | 0.139411i | ||||
\(323\) | 7.01755 | − | 7.01755i | 0.390467 | − | 0.390467i | ||||
\(324\) | −11.8534 | + | 8.46207i | −0.658520 | + | 0.470115i | ||||
\(325\) | −11.9002 | + | 0.920005i | −0.660102 | + | 0.0510327i | ||||
\(326\) | −22.9876 | − | 11.8336i | −1.27317 | − | 0.655402i | ||||
\(327\) | 1.16809 | + | 4.35938i | 0.0645956 | + | 0.241074i | ||||
\(328\) | −10.2055 | − | 7.61130i | −0.563506 | − | 0.420264i | ||||
\(329\) | −13.2181 | + | 17.4409i | −0.728736 | + | 0.961549i | ||||
\(330\) | −0.778151 | + | 17.6237i | −0.0428358 | + | 0.970154i | ||||
\(331\) | 9.87135 | − | 17.0977i | 0.542578 | − | 0.939773i | −0.456177 | − | 0.889889i | \(-0.650782\pi\) |
0.998755 | − | 0.0498839i | \(-0.0158851\pi\) | |||||||
\(332\) | −10.7858 | − | 8.88387i | −0.591946 | − | 0.487566i | ||||
\(333\) | −0.167603 | + | 0.625501i | −0.00918456 | + | 0.0342773i | ||||
\(334\) | −1.06018 | − | 21.9801i | −0.0580106 | − | 1.20270i | ||||
\(335\) | 7.38192 | − | 1.26319i | 0.403318 | − | 0.0690156i | ||||
\(336\) | −9.34492 | − | 13.9129i | −0.509807 | − | 0.759012i | ||||
\(337\) | −16.0087 | − | 16.0087i | −0.872050 | − | 0.872050i | 0.120646 | − | 0.992696i | \(-0.461503\pi\) |
−0.992696 | + | 0.120646i | \(0.961503\pi\) | |||||||
\(338\) | 7.64488 | + | 6.94133i | 0.415827 | + | 0.377559i | ||||
\(339\) | −13.0070 | + | 7.50960i | −0.706444 | + | 0.407866i | ||||
\(340\) | −1.52481 | − | 5.59937i | −0.0826942 | − | 0.303668i | ||||
\(341\) | −8.52885 | − | 4.92414i | −0.461863 | − | 0.266657i | ||||
\(342\) | 5.20032 | + | 1.12801i | 0.281201 | + | 0.0609959i | ||||
\(343\) | −16.9807 | + | 7.39296i | −0.916872 | + | 0.399182i | ||||
\(344\) | 27.9451 | − | 4.06895i | 1.50670 | − | 0.219383i | ||||
\(345\) | −5.37851 | − | 11.6881i | −0.289569 | − | 0.629268i | ||||
\(346\) | 2.70649 | − | 5.25755i | 0.145502 | − | 0.282648i | ||||
\(347\) | −0.976243 | + | 3.64339i | −0.0524075 | + | 0.195587i | −0.987166 | − | 0.159695i | \(-0.948949\pi\) |
0.934759 | + | 0.355283i | \(0.115615\pi\) | |||||||
\(348\) | −2.64637 | + | 15.8530i | −0.141860 | + | 0.849808i | ||||
\(349\) | −24.7370 | −1.32414 | −0.662069 | − | 0.749443i | \(-0.730322\pi\) | ||||
−0.662069 | + | 0.749443i | \(0.730322\pi\) | |||||||
\(350\) | 13.2231 | − | 13.2344i | 0.706804 | − | 0.707410i | ||||
\(351\) | − | 13.2012i | − | 0.704630i | ||||||
\(352\) | −19.9222 | − | 0.414795i | −1.06186 | − | 0.0221086i | ||||
\(353\) | −21.1337 | − | 5.66275i | −1.12483 | − | 0.301398i | −0.351995 | − | 0.936002i | \(-0.614497\pi\) |
−0.772838 | + | 0.634604i | \(0.781163\pi\) | |||||||
\(354\) | −12.7454 | + | 24.7589i | −0.677410 | + | 1.31592i | ||||
\(355\) | 5.30140 | − | 2.43954i | 0.281369 | − | 0.129477i | ||||
\(356\) | −4.50740 | + | 9.90106i | −0.238892 | + | 0.524755i | ||||
\(357\) | 5.38630 | − | 0.741888i | 0.285073 | − | 0.0392649i | ||||
\(358\) | 6.11029 | − | 28.1694i | 0.322939 | − | 1.48880i | ||||
\(359\) | 10.7425 | − | 18.6065i | 0.566967 | − | 0.982016i | −0.429897 | − | 0.902878i | \(-0.641450\pi\) |
0.996864 | − | 0.0791378i | \(-0.0252167\pi\) | |||||||
\(360\) | 2.08229 | − | 2.31219i | 0.109746 | − | 0.121863i | ||||
\(361\) | 19.7452 | + | 34.1997i | 1.03922 | + | 1.79999i | ||||
\(362\) | −18.2045 | − | 16.5292i | −0.956807 | − | 0.868753i | ||||
\(363\) | −1.57704 | + | 1.57704i | −0.0827731 | + | 0.0827731i | ||||
\(364\) | 12.6264 | + | 0.360352i | 0.661803 | + | 0.0188876i | ||||
\(365\) | 0.612104 | + | 3.57705i | 0.0320390 | + | 0.187232i | ||||
\(366\) | 28.8871 | − | 1.39333i | 1.50995 | − | 0.0728307i | ||||
\(367\) | −35.8558 | − | 9.60753i | −1.87166 | − | 0.501509i | −0.999934 | − | 0.0115121i | \(-0.996336\pi\) |
−0.871724 | − | 0.489997i | \(-0.836998\pi\) | |||||||
\(368\) | 13.0573 | − | 6.38140i | 0.680659 | − | 0.332653i | ||||
\(369\) | 1.91784 | + | 1.10727i | 0.0998389 | + | 0.0576420i | ||||
\(370\) | −0.183599 | + | 4.15820i | −0.00954487 | + | 0.216174i | ||||
\(371\) | 29.7064 | − | 12.5133i | 1.54228 | − | 0.649656i | ||||
\(372\) | −3.10447 | − | 8.29318i | −0.160959 | − | 0.429982i | ||||
\(373\) | −3.81547 | + | 1.02235i | −0.197557 | + | 0.0529354i | −0.356241 | − | 0.934394i | \(-0.615942\pi\) |
0.158683 | + | 0.987330i | \(0.449275\pi\) | |||||||
\(374\) | 2.95874 | − | 5.74756i | 0.152993 | − | 0.297199i | ||||
\(375\) | −15.1978 | − | 9.08448i | −0.784811 | − | 0.469121i | ||||
\(376\) | −8.65610 | + | 21.7345i | −0.446404 | + | 1.12087i | ||||
\(377\) | −8.56537 | − | 8.56537i | −0.441139 | − | 0.441139i | ||||
\(378\) | 13.4668 | + | 15.7099i | 0.692659 | + | 0.808031i | ||||
\(379\) | 19.2397i | 0.988279i | 0.869383 | + | 0.494140i | \(0.164517\pi\) | ||||
−0.869383 | + | 0.494140i | \(0.835483\pi\) | |||||||
\(380\) | 34.2022 | − | 0.139251i | 1.75454 | − | 0.00714341i | ||||
\(381\) | 2.66835 | − | 1.54058i | 0.136704 | − | 0.0789261i | ||||
\(382\) | 3.40031 | − | 1.08920i | 0.173975 | − | 0.0557281i | ||||
\(383\) | 35.8097 | − | 9.59518i | 1.82979 | − | 0.490291i | 0.831883 | − | 0.554951i | \(-0.187263\pi\) |
0.997907 | + | 0.0646604i | \(0.0205964\pi\) | |||||||
\(384\) | −13.5898 | − | 11.6766i | −0.693500 | − | 0.595870i | ||||
\(385\) | 20.8190 | − | 0.928173i | 1.06103 | − | 0.0473041i | ||||
\(386\) | −32.6813 | + | 21.0306i | −1.66344 | + | 1.07043i | ||||
\(387\) | −4.74479 | + | 1.27136i | −0.241191 | + | 0.0646270i | ||||
\(388\) | −10.3044 | + | 12.5105i | −0.523129 | + | 0.635123i | ||||
\(389\) | −15.3735 | − | 26.6277i | −0.779467 | − | 1.35008i | −0.932249 | − | 0.361817i | \(-0.882157\pi\) |
0.152782 | − | 0.988260i | \(-0.451177\pi\) | |||||||
\(390\) | −2.58175 | − | 11.6727i | −0.130732 | − | 0.591069i | ||||
\(391\) | 4.71477i | 0.238436i | ||||||||
\(392\) | −15.3934 | + | 12.4516i | −0.777486 | + | 0.628900i | ||||
\(393\) | 4.57639 | − | 4.57639i | 0.230848 | − | 0.230848i | ||||
\(394\) | 1.55410 | + | 32.2203i | 0.0782946 | + | 1.62324i | ||||
\(395\) | 16.3146 | + | 1.51048i | 0.820879 | + | 0.0760006i | ||||
\(396\) | 3.45002 | − | 0.333591i | 0.173370 | − | 0.0167636i | ||||
\(397\) | 1.41993 | + | 5.29926i | 0.0712643 | + | 0.265962i | 0.992360 | − | 0.123373i | \(-0.0393713\pi\) |
−0.921096 | + | 0.389336i | \(0.872705\pi\) | |||||||
\(398\) | −6.68448 | − | 1.44994i | −0.335063 | − | 0.0726791i | ||||
\(399\) | −3.99276 | + | 31.7950i | −0.199888 | + | 1.59174i | ||||
\(400\) | 9.85863 | − | 17.4014i | 0.492932 | − | 0.870068i | ||||
\(401\) | −6.76757 | + | 11.7218i | −0.337956 | + | 0.585357i | −0.984048 | − | 0.177902i | \(-0.943069\pi\) |
0.646092 | + | 0.763260i | \(0.276402\pi\) | |||||||
\(402\) | 2.28828 | + | 7.14367i | 0.114129 | + | 0.356294i | ||||
\(403\) | 6.44651 | + | 1.72734i | 0.321124 | + | 0.0860448i | ||||
\(404\) | 2.08853 | + | 2.92554i | 0.103908 | + | 0.145551i | ||||
\(405\) | 9.40684 | − | 13.2909i | 0.467430 | − | 0.660428i | ||||
\(406\) | 18.9308 | + | 1.45538i | 0.939519 | + | 0.0722294i | ||||
\(407\) | −3.27845 | + | 3.27845i | −0.162507 | + | 0.162507i | ||||
\(408\) | 5.33915 | − | 2.29767i | 0.264327 | − | 0.113752i | ||||
\(409\) | −22.6003 | + | 13.0483i | −1.11751 | + | 0.645197i | −0.940765 | − | 0.339058i | \(-0.889892\pi\) |
−0.176750 | + | 0.984256i | \(0.556558\pi\) | |||||||
\(410\) | 13.5731 | + | 4.28691i | 0.670326 | + | 0.211715i | ||||
\(411\) | −15.0555 | + | 26.0768i | −0.742632 | + | 1.28628i | ||||
\(412\) | −0.288004 | − | 0.769363i | −0.0141889 | − | 0.0379038i | ||||
\(413\) | 30.4668 | + | 12.4070i | 1.49917 | + | 0.610508i | ||||
\(414\) | −2.12586 | + | 1.36800i | −0.104480 | + | 0.0672335i | ||||
\(415\) | 14.6534 | + | 5.41743i | 0.719306 | + | 0.265931i | ||||
\(416\) | 13.1135 | − | 3.22273i | 0.642941 | − | 0.158007i | ||||
\(417\) | 1.75747 | − | 6.55896i | 0.0860635 | − | 0.321193i | ||||
\(418\) | 28.2067 | + | 25.6109i | 1.37963 | + | 1.25267i | ||||
\(419\) | − | 12.8847i | − | 0.629460i | −0.949181 | − | 0.314730i | \(-0.898086\pi\) | ||
0.949181 | − | 0.314730i | \(-0.101914\pi\) | |||||||
\(420\) | 14.9799 | + | 11.2572i | 0.730944 | + | 0.549295i | ||||
\(421\) | 23.7295i | 1.15650i | 0.815858 | + | 0.578252i | \(0.196265\pi\) | ||||
−0.815858 | + | 0.578252i | \(0.803735\pi\) | |||||||
\(422\) | 8.41982 | − | 9.27322i | 0.409871 | − | 0.451413i | ||||
\(423\) | 1.05324 | − | 3.93075i | 0.0512103 | − | 0.191119i | ||||
\(424\) | 27.0492 | − | 21.3502i | 1.31362 | − | 1.03686i | ||||
\(425\) | 3.66759 | + | 5.35222i | 0.177904 | + | 0.259621i | ||||
\(426\) | 3.16304 | + | 4.91534i | 0.153250 | + | 0.238149i | ||||
\(427\) | −4.66171 | − | 33.8452i | −0.225596 | − | 1.63789i | ||||
\(428\) | −1.59149 | − | 4.25147i | −0.0769278 | − | 0.205502i | ||||
\(429\) | 6.65837 | − | 11.5326i | 0.321469 | − | 0.556800i | ||||
\(430\) | −28.0128 | + | 14.5650i | −1.35090 | + | 0.702389i | ||||
\(431\) | −1.42359 | + | 0.821912i | −0.0685721 | + | 0.0395901i | −0.533894 | − | 0.845551i | \(-0.679272\pi\) |
0.465322 | + | 0.885141i | \(0.345939\pi\) | |||||||
\(432\) | 18.3487 | + | 12.3550i | 0.882803 | + | 0.594432i | ||||
\(433\) | −2.40313 | + | 2.40313i | −0.115487 | + | 0.115487i | −0.762489 | − | 0.647002i | \(-0.776023\pi\) |
0.647002 | + | 0.762489i | \(0.276023\pi\) | |||||||
\(434\) | −9.43366 | + | 4.52062i | −0.452830 | + | 0.216997i | ||||
\(435\) | −3.03086 | − | 17.7120i | −0.145319 | − | 0.849223i | ||||
\(436\) | 4.63883 | − | 3.31164i | 0.222160 | − | 0.158599i | ||||
\(437\) | −26.8404 | − | 7.19187i | −1.28395 | − | 0.344034i | ||||
\(438\) | −3.46160 | + | 1.10883i | −0.165402 | + | 0.0529819i | ||||
\(439\) | −3.15999 | + | 5.47326i | −0.150818 | + | 0.261225i | −0.931528 | − | 0.363668i | \(-0.881524\pi\) |
0.780710 | + | 0.624893i | \(0.214857\pi\) | |||||||
\(440\) | 21.1887 | − | 6.88248i | 1.01013 | − | 0.328110i | ||||
\(441\) | 2.40595 | − | 2.46415i | 0.114569 | − | 0.117341i | ||||
\(442\) | −0.928645 | + | 4.28120i | −0.0441711 | + | 0.203636i | ||||
\(443\) | 7.35101 | + | 27.4343i | 0.349257 | + | 1.30344i | 0.887559 | + | 0.460693i | \(0.152399\pi\) |
−0.538303 | + | 0.842752i | \(0.680934\pi\) | |||||||
\(444\) | −4.14956 | + | 0.401230i | −0.196929 | + | 0.0190415i | ||||
\(445\) | 1.12129 | − | 12.1110i | 0.0531544 | − | 0.574118i | ||||
\(446\) | −1.16229 | + | 0.0560618i | −0.0550363 | + | 0.00265460i | ||||
\(447\) | −2.38705 | + | 2.38705i | −0.112903 | + | 0.112903i | ||||
\(448\) | −12.3179 | + | 17.2125i | −0.581966 | + | 0.813213i | ||||
\(449\) | − | 3.54938i | − | 0.167506i | −0.996487 | − | 0.0837528i | \(-0.973309\pi\) | ||
0.996487 | − | 0.0837528i | \(-0.0266906\pi\) | |||||||
\(450\) | −1.34912 | + | 3.20665i | −0.0635982 | + | 0.151163i | ||||
\(451\) | 7.92778 | + | 13.7313i | 0.373305 | + | 0.646583i | ||||
\(452\) | 14.6407 | + | 12.0590i | 0.688640 | + | 0.567209i | ||||
\(453\) | −24.4155 | + | 6.54213i | −1.14714 | + | 0.307376i | ||||
\(454\) | −7.45860 | − | 11.5906i | −0.350049 | − | 0.543974i | ||||
\(455\) | −13.4649 | + | 4.25911i | −0.631246 | + | 0.199670i | ||||
\(456\) | 4.93598 | + | 33.8998i | 0.231148 | + | 1.58750i | ||||
\(457\) | 2.41330 | − | 0.646641i | 0.112889 | − | 0.0302486i | −0.201932 | − | 0.979400i | \(-0.564722\pi\) |
0.314821 | + | 0.949151i | \(0.398055\pi\) | |||||||
\(458\) | −4.50142 | − | 14.0528i | −0.210338 | − | 0.656642i | ||||
\(459\) | −6.21478 | + | 3.58811i | −0.290081 | + | 0.167478i | ||||
\(460\) | −11.4427 | + | 11.5362i | −0.533518 | + | 0.537880i | ||||
\(461\) | − | 23.6985i | − | 1.10375i | −0.833928 | − | 0.551874i | \(-0.813913\pi\) | ||
0.833928 | − | 0.551874i | \(-0.186087\pi\) | |||||||
\(462\) | 3.84097 | + | 20.5165i | 0.178698 | + | 0.954516i | ||||
\(463\) | −13.4785 | − | 13.4785i | −0.626398 | − | 0.626398i | 0.320762 | − | 0.947160i | \(-0.396061\pi\) |
−0.947160 | + | 0.320762i | \(0.896061\pi\) | |||||||
\(464\) | 19.9216 | − | 3.88888i | 0.924835 | − | 0.180537i | ||||
\(465\) | 6.32545 | + | 7.61623i | 0.293336 | + | 0.353194i | ||||
\(466\) | −16.9043 | − | 8.70201i | −0.783076 | − | 0.403113i | ||||
\(467\) | −2.43441 | + | 0.652297i | −0.112651 | + | 0.0301847i | −0.314704 | − | 0.949190i | \(-0.601905\pi\) |
0.202053 | + | 0.979375i | \(0.435239\pi\) | |||||||
\(468\) | −2.19982 | + | 0.823479i | −0.101687 | + | 0.0380653i | ||||
\(469\) | 8.16643 | − | 3.43996i | 0.377091 | − | 0.158842i | ||||
\(470\) | 1.15377 | − | 26.1308i | 0.0532193 | − | 1.20532i | ||||
\(471\) | −0.424544 | − | 0.245110i | −0.0195619 | − | 0.0112941i | ||||
\(472\) | 34.9262 | + | 4.11256i | 1.60761 | + | 0.189296i | ||||
\(473\) | −33.9716 | − | 9.10267i | −1.56202 | − | 0.418541i | ||||
\(474\) | 0.790627 | + | 16.3916i | 0.0363147 | + | 0.752891i | ||||
\(475\) | −36.0638 | + | 12.7148i | −1.65472 | + | 0.583393i | ||||
\(476\) | −3.26222 | − | 6.04211i | −0.149524 | − | 0.276939i | ||||
\(477\) | −4.23849 | + | 4.23849i | −0.194067 | + | 0.194067i | ||||
\(478\) | 24.9052 | − | 27.4295i | 1.13914 | − | 1.25460i | ||||
\(479\) | 9.15394 | + | 15.8551i | 0.418254 | + | 0.724437i | 0.995764 | − | 0.0919464i | \(-0.0293088\pi\) |
−0.577510 | + | 0.816384i | \(0.695976\pi\) | |||||||
\(480\) | 18.6404 | + | 7.33603i | 0.850814 | + | 0.334842i | ||||
\(481\) | 1.57099 | − | 2.72104i | 0.0716312 | − | 0.124069i | ||||
\(482\) | 29.2204 | + | 6.33827i | 1.33095 | + | 0.288700i | ||||
\(483\) | −9.33953 | − | 12.0221i | −0.424963 | − | 0.547024i | ||||
\(484\) | 2.56345 | + | 1.16699i | 0.116520 | + | 0.0530452i | ||||
\(485\) | 6.28370 | − | 16.9965i | 0.285328 | − | 0.771772i | ||||
\(486\) | −6.36017 | − | 3.27410i | −0.288503 | − | 0.148516i | ||||
\(487\) | 27.4262 | + | 7.34883i | 1.24280 | + | 0.333007i | 0.819551 | − | 0.573006i | \(-0.194223\pi\) |
0.423249 | + | 0.906013i | \(0.360890\pi\) | |||||||
\(488\) | −14.4376 | − | 33.5490i | −0.653560 | − | 1.51869i | ||||
\(489\) | 28.9527i | 1.30929i | ||||||||
\(490\) | 11.6789 | − | 18.8043i | 0.527600 | − | 0.849493i | ||||
\(491\) | 11.3959 | 0.514290 | 0.257145 | − | 0.966373i | \(-0.417218\pi\) | ||||
0.257145 | + | 0.966373i | \(0.417218\pi\) | |||||||
\(492\) | −2.34742 | + | 14.0622i | −0.105830 | + | 0.633971i | ||||
\(493\) | −1.70427 | + | 6.36042i | −0.0767564 | + | 0.286459i | ||||
\(494\) | −22.9556 | − | 11.8171i | −1.03282 | − | 0.531678i | ||||
\(495\) | −3.52039 | + | 1.61997i | −0.158230 | + | 0.0728122i | ||||
\(496\) | −8.43416 | + | 7.34355i | −0.378705 | + | 0.329735i | ||||
\(497\) | 5.45287 | − | 4.23614i | 0.244595 | − | 0.190017i | ||||
\(498\) | −3.31705 | + | 15.2921i | −0.148640 | + | 0.685257i | ||||
\(499\) | −23.4689 | − | 13.5498i | −1.05061 | − | 0.606572i | −0.127793 | − | 0.991801i | \(-0.540789\pi\) |
−0.922821 | + | 0.385228i | \(0.874123\pi\) | |||||||
\(500\) | −4.01579 | + | 21.9971i | −0.179591 | + | 0.983741i | ||||
\(501\) | −21.3410 | + | 12.3212i | −0.953446 | + | 0.550472i | ||||
\(502\) | −11.7576 | + | 12.9493i | −0.524767 | + | 0.577955i | ||||
\(503\) | 16.1198 | + | 16.1198i | 0.718748 | + | 0.718748i | 0.968349 | − | 0.249601i | \(-0.0802995\pi\) |
−0.249601 | + | 0.968349i | \(0.580300\pi\) | |||||||
\(504\) | 1.77781 | − | 3.22404i | 0.0791899 | − | 0.143610i | ||||
\(505\) | −3.28033 | − | 2.32171i | −0.145973 | − | 0.103315i | ||||
\(506\) | −18.0788 | + | 0.872007i | −0.803700 | + | 0.0387654i | ||||
\(507\) | 2.99280 | − | 11.1693i | 0.132915 | − | 0.496046i | ||||
\(508\) | −3.00350 | − | 2.47388i | −0.133259 | − | 0.109761i | ||||
\(509\) | 14.2916 | − | 24.7538i | 0.633464 | − | 1.09719i | −0.353374 | − | 0.935482i | \(-0.614966\pi\) |
0.986838 | − | 0.161710i | \(-0.0517011\pi\) | |||||||
\(510\) | −4.79346 | + | 4.38806i | −0.212258 | + | 0.194307i | ||||
\(511\) | 1.66690 | + | 3.95720i | 0.0737392 | + | 0.175056i | ||||
\(512\) | −7.79355 | + | 21.2429i | −0.344430 | + | 0.938812i | ||||
\(513\) | −10.9465 | − | 40.8530i | −0.483301 | − | 1.80370i | ||||
\(514\) | −4.72990 | + | 9.18817i | −0.208627 | + | 0.405273i | ||||
\(515\) | 0.586815 | + | 0.706562i | 0.0258582 | + | 0.0311348i | ||||
\(516\) | −18.3742 | − | 25.7379i | −0.808879 | − | 1.13305i | ||||
\(517\) | 20.6023 | − | 20.6023i | 0.906088 | − | 0.906088i | ||||
\(518\) | 0.906251 | + | 4.84074i | 0.0398184 | + | 0.212690i | ||||
\(519\) | −6.62183 | −0.290666 | ||||||||
\(520\) | −12.6626 | + | 8.22156i | −0.555294 | + | 0.360539i | ||||
\(521\) | 19.3140 | + | 33.4528i | 0.846160 | + | 1.46559i | 0.884610 | + | 0.466332i | \(0.154425\pi\) |
−0.0384496 | + | 0.999261i | \(0.512242\pi\) | |||||||
\(522\) | −3.36237 | + | 1.07704i | −0.147167 | + | 0.0471409i | ||||
\(523\) | −6.30604 | − | 23.5345i | −0.275744 | − | 1.02909i | −0.955341 | − | 0.295505i | \(-0.904512\pi\) |
0.679597 | − | 0.733585i | \(-0.262155\pi\) | |||||||
\(524\) | −7.43884 | − | 3.38649i | −0.324967 | − | 0.147939i | ||||
\(525\) | −19.9541 | − | 6.38233i | −0.870870 | − | 0.278548i | ||||
\(526\) | −0.537751 | − | 0.835661i | −0.0234471 | − | 0.0364366i | ||||
\(527\) | −0.938984 | − | 3.50433i | −0.0409028 | − | 0.152651i | ||||
\(528\) | 9.79791 | + | 20.0480i | 0.426399 | + | 0.872478i | ||||
\(529\) | −8.48620 | + | 4.89951i | −0.368965 | + | 0.213022i | ||||
\(530\) | −20.7167 | + | 32.4835i | −0.899877 | + | 1.41099i | ||||
\(531\) | −6.11720 | −0.265464 | ||||||||
\(532\) | 39.3729 | − | 9.35470i | 1.70703 | − | 0.405578i | ||||
\(533\) | −7.59780 | − | 7.59780i | −0.329097 | − | 0.329097i | ||||
\(534\) | 12.1682 | − | 0.586915i | 0.526568 | − | 0.0253983i | ||||
\(535\) | 3.24271 | + | 3.90443i | 0.140195 | + | 0.168803i | ||||
\(536\) | 7.43595 | − | 5.86926i | 0.321184 | − | 0.253513i | ||||
\(537\) | −31.1785 | + | 8.35425i | −1.34545 | + | 0.360512i | ||||
\(538\) | −37.4950 | − | 8.13313i | −1.61653 | − | 0.350644i | ||||
\(539\) | 23.7396 | − | 6.66607i | 1.02254 | − | 0.287128i | ||||
\(540\) | −23.9148 | − | 6.30370i | −1.02913 | − | 0.271268i | ||||
\(541\) | −23.7632 | − | 13.7197i | −1.02166 | − | 0.589855i | −0.107075 | − | 0.994251i | \(-0.534148\pi\) |
−0.914584 | + | 0.404396i | \(0.867482\pi\) | |||||||
\(542\) | 13.2187 | − | 4.23426i | 0.567793 | − | 0.181877i | ||||
\(543\) | −7.12666 | + | 26.5971i | −0.305834 | + | 1.14139i | ||||
\(544\) | −5.08143 | − | 5.29753i | −0.217864 | − | 0.227130i | ||||
\(545\) | −3.68138 | + | 5.20140i | −0.157693 | + | 0.222803i | ||||
\(546\) | −6.11274 | − | 12.7561i | −0.261601 | − | 0.545910i | ||||
\(547\) | −15.9557 | − | 15.9557i | −0.682215 | − | 0.682215i | 0.278284 | − | 0.960499i | \(-0.410234\pi\) |
−0.960499 | + | 0.278284i | \(0.910234\pi\) | |||||||
\(548\) | 37.5078 | + | 6.26125i | 1.60225 | + | 0.267467i | ||||
\(549\) | 3.17655 | + | 5.50195i | 0.135572 | + | 0.234818i | ||||
\(550\) | −19.8447 | + | 15.0533i | −0.846183 | + | 0.641873i | ||||
\(551\) | −33.6091 | − | 19.4042i | −1.43180 | − | 0.826648i | ||||
\(552\) | −13.0460 | − | 9.72973i | −0.555274 | − | 0.414125i | ||||
\(553\) | 19.2050 | − | 2.64522i | 0.816679 | − | 0.112486i | ||||
\(554\) | −11.9733 | + | 7.70484i | −0.508695 | + | 0.327347i | ||||
\(555\) | 4.23419 | − | 1.94844i | 0.179731 | − | 0.0827066i | ||||
\(556\) | −8.53563 | + | 0.825330i | −0.361991 | + | 0.0350018i | ||||
\(557\) | −2.31677 | − | 0.620777i | −0.0981647 | − | 0.0263032i | 0.209402 | − | 0.977830i | \(-0.432848\pi\) |
−0.307567 | + | 0.951526i | \(0.599515\pi\) | |||||||
\(558\) | 1.30763 | − | 1.44017i | 0.0553566 | − | 0.0609673i | ||||
\(559\) | 23.8338 | 1.00806 | ||||||||
\(560\) | 6.68201 | − | 22.7013i | 0.282366 | − | 0.959307i | ||||
\(561\) | −7.23900 | −0.305631 | ||||||||
\(562\) | 17.6070 | − | 19.3916i | 0.742706 | − | 0.817984i | ||||
\(563\) | 12.5729 | + | 3.36890i | 0.529884 | + | 0.141982i | 0.513835 | − | 0.857889i | \(-0.328224\pi\) |
0.0160495 | + | 0.999871i | \(0.494891\pi\) | |||||||
\(564\) | 26.0765 | − | 2.52139i | 1.09802 | − | 0.106170i | ||||
\(565\) | −19.8906 | − | 7.35366i | −0.836804 | − | 0.309371i | ||||
\(566\) | −6.62450 | + | 4.26289i | −0.278448 | + | 0.179183i | ||||
\(567\) | 7.26640 | − | 17.8435i | 0.305160 | − | 0.749355i | ||||
\(568\) | 4.41313 | − | 5.91729i | 0.185171 | − | 0.248284i | ||||
\(569\) | −1.55807 | − | 0.899553i | −0.0653177 | − | 0.0377112i | 0.466985 | − | 0.884265i | \(-0.345340\pi\) |
−0.532303 | + | 0.846554i | \(0.678673\pi\) | |||||||
\(570\) | −17.6686 | − | 33.9819i | −0.740056 | − | 1.42334i | ||||
\(571\) | 7.71307 | + | 13.3594i | 0.322782 | + | 0.559075i | 0.981061 | − | 0.193699i | \(-0.0620486\pi\) |
−0.658279 | + | 0.752774i | \(0.728715\pi\) | |||||||
\(572\) | −16.5880 | − | 2.76907i | −0.693580 | − | 0.115781i | ||||
\(573\) | −2.82724 | − | 2.82724i | −0.118110 | − | 0.118110i | ||||
\(574\) | 16.7923 | + | 1.29098i | 0.700897 | + | 0.0538843i | ||||
\(575\) | 7.84358 | − | 16.3861i | 0.327100 | − | 0.683346i | ||||
\(576\) | 0.914235 | − | 3.82827i | 0.0380931 | − | 0.159511i | ||||
\(577\) | 0.365364 | − | 1.36356i | 0.0152103 | − | 0.0567656i | −0.957904 | − | 0.287090i | \(-0.907312\pi\) |
0.973114 | + | 0.230324i | \(0.0739788\pi\) | |||||||
\(578\) | −20.6278 | + | 6.60756i | −0.858003 | + | 0.274838i | ||||
\(579\) | 37.6894 | + | 21.7600i | 1.56632 | + | 0.904315i | ||||
\(580\) | −19.6067 | + | 11.4266i | −0.814123 | + | 0.474464i | ||||
\(581\) | 18.3410 | + | 2.30324i | 0.760914 | + | 0.0955544i | ||||
\(582\) | 17.7374 | + | 3.84746i | 0.735239 | + | 0.159482i | ||||
\(583\) | −41.4543 | + | 11.1076i | −1.71686 | + | 0.460031i | ||||
\(584\) | 2.84406 | + | 3.60323i | 0.117688 | + | 0.149103i | ||||
\(585\) | 2.02025 | − | 1.67786i | 0.0835271 | − | 0.0693711i | ||||
\(586\) | 7.11673 | − | 0.343266i | 0.293989 | − | 0.0141802i | ||||
\(587\) | 24.9675 | + | 24.9675i | 1.03052 | + | 1.03052i | 0.999519 | + | 0.0310004i | \(0.00986931\pi\) |
0.0310004 | + | 0.999519i | \(0.490131\pi\) | |||||||
\(588\) | 20.2871 | + | 8.94446i | 0.836626 | + | 0.368864i | ||||
\(589\) | 21.3819 | 0.881026 | ||||||||
\(590\) | −38.3906 | + | 8.49119i | −1.58052 | + | 0.349577i | ||||
\(591\) | 31.2834 | − | 18.0615i | 1.28683 | − | 0.742951i | ||||
\(592\) | 2.31175 | + | 4.73019i | 0.0950123 | + | 0.194410i | ||||
\(593\) | 2.10106 | + | 7.84125i | 0.0862800 | + | 0.322001i | 0.995554 | − | 0.0941977i | \(-0.0300286\pi\) |
−0.909273 | + | 0.416199i | \(0.863362\pi\) | |||||||
\(594\) | −14.9080 | − | 23.1670i | −0.611684 | − | 0.950552i | ||||
\(595\) | 5.66485 | + | 5.18130i | 0.232236 | + | 0.212412i | ||||
\(596\) | 3.88010 | + | 1.76639i | 0.158935 | + | 0.0723543i | ||||
\(597\) | 1.98243 | + | 7.39852i | 0.0811353 | + | 0.302801i | ||||
\(598\) | 11.6811 | − | 3.74173i | 0.477677 | − | 0.153011i | ||||
\(599\) | −7.24397 | − | 12.5469i | −0.295981 | − | 0.512654i | 0.679232 | − | 0.733924i | \(-0.262313\pi\) |
−0.975213 | + | 0.221270i | \(0.928980\pi\) | |||||||
\(600\) | −22.3785 | − | 0.896819i | −0.913599 | − | 0.0366125i | ||||
\(601\) | 29.4757 | 1.20234 | 0.601169 | − | 0.799122i | \(-0.294702\pi\) | ||||
0.601169 | + | 0.799122i | \(0.294702\pi\) | |||||||
\(602\) | −28.3631 | + | 24.3133i | −1.15599 | + | 0.990938i | ||||
\(603\) | −1.16518 | + | 1.16518i | −0.0474498 | + | 0.0474498i | ||||
\(604\) | 18.5475 | + | 25.9807i | 0.754687 | + | 1.05714i | ||||
\(605\) | −3.13563 | − | 0.290310i | −0.127481 | − | 0.0118028i | ||||
\(606\) | 1.84234 | − | 3.57889i | 0.0748401 | − | 0.145382i | ||||
\(607\) | −8.28409 | − | 30.9167i | −0.336241 | − | 1.25487i | −0.902517 | − | 0.430653i | \(-0.858283\pi\) |
0.566276 | − | 0.824215i | \(-0.308383\pi\) | |||||||
\(608\) | 37.9091 | − | 20.8469i | 1.53742 | − | 0.845455i | ||||
\(609\) | −8.25372 | − | 19.5943i | −0.334458 | − | 0.794000i | ||||
\(610\) | 27.5727 | + | 30.1201i | 1.11639 | + | 1.21953i | ||||
\(611\) | −9.87238 | + | 17.0995i | −0.399394 | + | 0.691770i | ||||
\(612\) | 0.985583 | + | 0.811791i | 0.0398398 | + | 0.0328147i | ||||
\(613\) | 7.57810 | − | 28.2818i | 0.306076 | − | 1.14229i | −0.625938 | − | 0.779873i | \(-0.715284\pi\) |
0.932015 | − | 0.362420i | \(-0.118049\pi\) | |||||||
\(614\) | 2.98037 | − | 0.143754i | 0.120278 | − | 0.00580144i | ||||
\(615\) | −2.68849 | − | 15.7112i | −0.108410 | − | 0.633535i | ||||
\(616\) | 22.5651 | − | 13.6265i | 0.909174 | − | 0.549026i | ||||
\(617\) | 27.7291 | + | 27.7291i | 1.11633 | + | 1.11633i | 0.992275 | + | 0.124055i | \(0.0395900\pi\) |
0.124055 | + | 0.992275i | \(0.460410\pi\) | |||||||
\(618\) | −0.618399 | + | 0.681078i | −0.0248757 | + | 0.0273970i | ||||
\(619\) | −12.3075 | + | 7.10575i | −0.494681 | + | 0.285604i | −0.726514 | − | 0.687151i | \(-0.758861\pi\) |
0.231833 | + | 0.972756i | \(0.425528\pi\) | |||||||
\(620\) | 6.20743 | − | 10.8534i | 0.249296 | − | 0.435883i | ||||
\(621\) | 17.4009 | + | 10.0464i | 0.698273 | + | 0.403148i | ||||
\(622\) | −4.32216 | + | 19.9259i | −0.173303 | + | 0.798955i | ||||
\(623\) | −1.96366 | − | 14.2567i | −0.0786723 | − | 0.571181i | ||||
\(624\) | −9.92987 | − | 11.4046i | −0.397513 | − | 0.456549i | ||||
\(625\) | −3.84255 | − | 24.7029i | −0.153702 | − | 0.988117i | ||||
\(626\) | −7.61823 | − | 3.92172i | −0.304486 | − | 0.156743i | ||||
\(627\) | 11.0423 | − | 41.2104i | 0.440987 | − | 1.64579i | ||||
\(628\) | −0.101936 | + | 0.610645i | −0.00406769 | + | 0.0243674i | ||||
\(629\) | −1.70799 | −0.0681021 | ||||||||
\(630\) | −0.692546 | + | 4.05761i | −0.0275917 | + | 0.161659i | ||||
\(631\) | − | 24.0239i | − | 0.956377i | −0.878257 | − | 0.478188i | \(-0.841294\pi\) | ||
0.878257 | − | 0.478188i | \(-0.158706\pi\) | |||||||
\(632\) | 19.0369 | − | 8.19241i | 0.757247 | − | 0.325877i | ||||
\(633\) | −13.5483 | − | 3.63026i | −0.538498 | − | 0.144290i | ||||
\(634\) | −21.3632 | − | 10.9974i | −0.848440 | − | 0.436761i | ||||
\(635\) | 4.08050 | + | 1.50858i | 0.161930 | + | 0.0598663i | ||||
\(636\) | −35.1209 | − | 15.9886i | −1.39264 | − | 0.633989i | ||||
\(637\) | −14.3704 | + | 8.52731i | −0.569374 | + | 0.337864i | ||||
\(638\) | −24.7042 | − | 5.35865i | −0.978050 | − | 0.212151i | ||||
\(639\) | −0.642007 | + | 1.11199i | −0.0253974 | + | 0.0439896i | ||||
\(640\) | 0.423634 | − | 25.2947i | 0.0167456 | − | 0.999860i | ||||
\(641\) | −7.36105 | − | 12.7497i | −0.290744 | − | 0.503583i | 0.683242 | − | 0.730192i | \(-0.260569\pi\) |
−0.973986 | + | 0.226609i | \(0.927236\pi\) | |||||||
\(642\) | −3.41725 | + | 3.76361i | −0.134868 | + | 0.148538i | ||||
\(643\) | −8.54124 | + | 8.54124i | −0.336833 | + | 0.336833i | −0.855174 | − | 0.518341i | \(-0.826550\pi\) |
0.518341 | + | 0.855174i | \(0.326550\pi\) | |||||||
\(644\) | −10.0839 | + | 16.3689i | −0.397362 | + | 0.645026i | ||||
\(645\) | 28.8593 | + | 20.4257i | 1.13633 | + | 0.804259i | ||||
\(646\) | 0.676178 | + | 14.0188i | 0.0266039 | + | 0.551562i | ||||
\(647\) | −1.68511 | − | 0.451523i | −0.0662484 | − | 0.0177512i | 0.225543 | − | 0.974233i | \(-0.427585\pi\) |
−0.291791 | + | 0.956482i | \(0.594251\pi\) | |||||||
\(648\) | 2.40860 | − | 20.4552i | 0.0946189 | − | 0.803557i | ||||
\(649\) | −37.9300 | − | 21.8989i | −1.48888 | − | 0.859607i | ||||
\(650\) | 10.3498 | − | 13.3343i | 0.405951 | − | 0.523014i | ||||
\(651\) | 9.33605 | + | 7.07558i | 0.365909 | + | 0.277314i | ||||
\(652\) | 34.2434 | − | 12.8187i | 1.34108 | − | 0.502018i | ||||
\(653\) | −29.7355 | + | 7.96761i | −1.16364 | + | 0.311797i | −0.788419 | − | 0.615138i | \(-0.789100\pi\) |
−0.375222 | + | 0.926935i | \(0.622433\pi\) | |||||||
\(654\) | −5.67480 | − | 2.92128i | −0.221902 | − | 0.114231i | ||||
\(655\) | 9.09923 | + | 0.842448i | 0.355536 | + | 0.0329172i | ||||
\(656\) | 17.6711 | − | 3.44958i | 0.689942 | − | 0.134683i | ||||
\(657\) | −0.564611 | − | 0.564611i | −0.0220276 | − | 0.0220276i | ||||
\(658\) | −5.69502 | − | 30.4199i | −0.222015 | − | 1.18589i | ||||
\(659\) | − | 32.5051i | − | 1.26622i | −0.774062 | − | 0.633110i | \(-0.781778\pi\) | ||
0.774062 | − | 0.633110i | \(-0.218222\pi\) | |||||||
\(660\) | −17.7126 | − | 17.5689i | −0.689461 | − | 0.683870i | ||||
\(661\) | 30.3385 | − | 17.5159i | 1.18003 | − | 0.681290i | 0.224008 | − | 0.974587i | \(-0.428086\pi\) |
0.956021 | + | 0.293297i | \(0.0947524\pi\) | |||||||
\(662\) | 8.51724 | + | 26.5896i | 0.331032 | + | 1.03343i | ||||
\(663\) | 4.73852 | − | 1.26968i | 0.184029 | − | 0.0493104i | ||||
\(664\) | 19.5552 | − | 2.84733i | 0.758888 | − | 0.110498i | ||||
\(665\) | −38.1374 | + | 24.3456i | −1.47890 | + | 0.944080i | ||||
\(666\) | −0.495577 | − | 0.770122i | −0.0192032 | − | 0.0298416i | ||||
\(667\) | 17.8086 | − | 4.77181i | 0.689554 | − | 0.184765i | ||||
\(668\) | 24.0214 | + | 19.7856i | 0.929416 | + | 0.765528i | ||||
\(669\) | 0.651539 | + | 1.12850i | 0.0251900 | + | 0.0436303i | ||||
\(670\) | −5.69513 | + | 8.92986i | −0.220022 | + | 0.344991i | ||||
\(671\) | 45.4868i | 1.75600i | ||||||||
\(672\) | 23.4509 | + | 3.44220i | 0.904639 | + | 0.132786i | ||||
\(673\) | −18.8090 | + | 18.8090i | −0.725032 | + | 0.725032i | −0.969626 | − | 0.244594i | \(-0.921345\pi\) |
0.244594 | + | 0.969626i | \(0.421345\pi\) | |||||||
\(674\) | 31.9802 | − | 1.54252i | 1.23183 | − | 0.0594158i | ||||
\(675\) | 27.5685 | − | 2.13133i | 1.06111 | − | 0.0820350i | ||||
\(676\) | −14.5354 | + | 1.40546i | −0.559053 | + | 0.0540561i | ||||
\(677\) | 0.635085 | + | 2.37017i | 0.0244083 | + | 0.0910930i | 0.977056 | − | 0.212985i | \(-0.0683184\pi\) |
−0.952647 | + | 0.304078i | \(0.901652\pi\) | |||||||
\(678\) | 4.50258 | − | 20.7576i | 0.172921 | − | 0.797192i | ||||
\(679\) | 2.67154 | − | 21.2738i | 0.102524 | − | 0.816415i | ||||
\(680\) | 7.31220 | + | 3.72660i | 0.280410 | + | 0.142909i | ||||
\(681\) | −7.71730 | + | 13.3668i | −0.295727 | + | 0.512215i | ||||
\(682\) | 13.2637 | − | 4.24867i | 0.507893 | − | 0.162690i | ||||
\(683\) | −21.6049 | − | 5.78900i | −0.826687 | − | 0.221510i | −0.179419 | − | 0.983773i | \(-0.557422\pi\) |
−0.647268 | + | 0.762263i | \(0.724088\pi\) | |||||||
\(684\) | −6.12479 | + | 4.37246i | −0.234187 | + | 0.167185i | ||||
\(685\) | −41.9061 | + | 7.17096i | −1.60115 | + | 0.273988i | ||||
\(686\) | 8.40235 | − | 24.8073i | 0.320803 | − | 0.947146i | ||||
\(687\) | −11.6844 | + | 11.6844i | −0.445788 | + | 0.445788i | ||||
\(688\) | −22.3061 | + | 33.1272i | −0.850412 | + | 1.26296i | ||||
\(689\) | 25.1870 | − | 14.5417i | 0.959550 | − | 0.553996i | ||||
\(690\) | 17.3508 | + | 5.48007i | 0.660534 | + | 0.208623i | ||||
\(691\) | −3.35719 | + | 5.81482i | −0.127714 | + | 0.221206i | −0.922790 | − | 0.385302i | \(-0.874097\pi\) |
0.795077 | + | 0.606509i | \(0.207430\pi\) | |||||||
\(692\) | 2.93179 | + | 7.83189i | 0.111450 | + | 0.297724i | ||||
\(693\) | −3.62097 | + | 2.81300i | −0.137549 | + | 0.106857i | ||||
\(694\) | −2.88661 | − | 4.48577i | −0.109574 | − | 0.170278i | ||||
\(695\) | 8.70972 | − | 4.00793i | 0.330378 | − | 0.152030i | ||||
\(696\) | −14.0825 | − | 17.8416i | −0.533796 | − | 0.676284i | ||||
\(697\) | −1.51175 | + | 5.64192i | −0.0572616 | + | 0.213703i | ||||
\(698\) | 23.5165 | − | 25.9000i | 0.890111 | − | 0.980329i | ||||
\(699\) | 21.2908i | 0.805291i | ||||||||
\(700\) | 1.28599 | + | 26.4262i | 0.0486058 | + | 0.998818i | ||||
\(701\) | − | 31.2839i | − | 1.18158i | −0.806826 | − | 0.590789i | \(-0.798817\pi\) | ||
0.806826 | − | 0.590789i | \(-0.201183\pi\) | |||||||
\(702\) | 13.8219 | + | 12.5499i | 0.521674 | + | 0.473666i | ||||
\(703\) | 2.60535 | − | 9.72331i | 0.0982627 | − | 0.366722i | ||||
\(704\) | 19.3735 | − | 20.4645i | 0.730168 | − | 0.771286i | ||||
\(705\) | −26.6083 | + | 12.2443i | −1.00213 | + | 0.461147i | ||||
\(706\) | 26.0200 | − | 16.7440i | 0.979275 | − | 0.630167i | ||||
\(707\) | −4.40396 | − | 1.79343i | −0.165628 | − | 0.0674488i | ||||
\(708\) | −13.8064 | − | 36.8819i | −0.518876 | − | 1.38611i | ||||
\(709\) | −20.9688 | + | 36.3190i | −0.787499 | + | 1.36399i | 0.139996 | + | 0.990152i | \(0.455291\pi\) |
−0.927495 | + | 0.373836i | \(0.878042\pi\) | |||||||
\(710\) | −2.48560 | + | 7.86983i | −0.0932830 | + | 0.295350i | ||||
\(711\) | −3.12200 | + | 1.80249i | −0.117084 | + | 0.0675986i | ||||
\(712\) | −6.08157 | − | 14.1319i | −0.227916 | − | 0.529614i | ||||
\(713\) | −7.18277 | + | 7.18277i | −0.268997 | + | 0.268997i | ||||
\(714\) | −4.34378 | + | 6.34483i | −0.162562 | + | 0.237449i | ||||
\(715\) | 18.5332 | − | 3.17140i | 0.693103 | − | 0.118604i | ||||
\(716\) | 23.6850 | + | 33.1771i | 0.885151 | + | 1.23989i | ||||
\(717\) | −40.0750 | − | 10.7381i | −1.49663 | − | 0.401020i | ||||
\(718\) | 9.26889 | + | 28.9361i | 0.345912 | + | 1.07989i | ||||
\(719\) | −5.97764 | + | 10.3536i | −0.222928 | + | 0.386123i | −0.955696 | − | 0.294356i | \(-0.904895\pi\) |
0.732768 | + | 0.680479i | \(0.238228\pi\) | |||||||
\(720\) | 0.441348 | + | 4.37831i | 0.0164481 | + | 0.163170i | ||||
\(721\) | 0.866111 | + | 0.656405i | 0.0322556 | + | 0.0244458i | ||||
\(722\) | −54.5787 | − | 11.8388i | −2.03121 | − | 0.440594i | ||||
\(723\) | −8.66596 | − | 32.3418i | −0.322290 | − | 1.20280i | ||||
\(724\) | 34.6126 | − | 3.34677i | 1.28637 | − | 0.124382i | ||||
\(725\) | 16.5044 | − | 19.2702i | 0.612960 | − | 0.715677i | ||||
\(726\) | −0.151956 | − | 3.15042i | −0.00563962 | − | 0.116923i | ||||
\(727\) | −5.77933 | + | 5.77933i | −0.214344 | + | 0.214344i | −0.806110 | − | 0.591766i | \(-0.798431\pi\) |
0.591766 | + | 0.806110i | \(0.298431\pi\) | |||||||
\(728\) | −12.3807 | + | 12.8775i | −0.458860 | + | 0.477271i | ||||
\(729\) | 29.8565i | 1.10580i | ||||||||
\(730\) | −4.32714 | − | 2.75968i | −0.160155 | − | 0.102140i | ||||
\(731\) | −6.47805 | − | 11.2203i | −0.239599 | − | 0.414998i | ||||
\(732\) | −26.0030 | + | 31.5699i | −0.961100 | + | 1.16686i | ||||
\(733\) | 37.9041 | − | 10.1564i | 1.40002 | − | 0.375134i | 0.521668 | − | 0.853149i | \(-0.325310\pi\) |
0.878352 | + | 0.478015i | \(0.158643\pi\) | |||||||
\(734\) | 44.1460 | − | 28.4081i | 1.62946 | − | 1.04856i | ||||
\(735\) | −24.7083 | − | 1.99012i | −0.911381 | − | 0.0734066i | ||||
\(736\) | −5.73165 | + | 19.7378i | −0.211271 | + | 0.727544i | ||||
\(737\) | −11.3960 | + | 3.05354i | −0.419776 | + | 0.112479i | ||||
\(738\) | −2.98254 | + | 0.955377i | −0.109789 | + | 0.0351679i | ||||
\(739\) | 16.3667 | − | 9.44933i | 0.602060 | − | 0.347599i | −0.167792 | − | 0.985822i | \(-0.553664\pi\) |
0.769851 | + | 0.638223i | \(0.220330\pi\) | |||||||
\(740\) | −4.17916 | − | 4.14527i | −0.153629 | − | 0.152383i | ||||
\(741\) | 28.9124i | 1.06212i | ||||||||
\(742\) | −15.1391 | + | 42.9990i | −0.555774 | + | 1.57854i | ||||
\(743\) | 15.0864 | + | 15.0864i | 0.553466 | + | 0.553466i | 0.927439 | − | 0.373973i | \(-0.122005\pi\) |
−0.373973 | + | 0.927439i | \(0.622005\pi\) | |||||||
\(744\) | 11.6344 | + | 4.63358i | 0.426538 | + | 0.169875i | ||||
\(745\) | −4.74617 | − | 0.439421i | −0.173886 | − | 0.0160991i | ||||
\(746\) | 2.55680 | − | 4.96677i | 0.0936110 | − | 0.181846i | ||||
\(747\) | −3.32026 | + | 0.889662i | −0.121482 | + | 0.0325510i | ||||
\(748\) | 3.20504 | + | 8.56183i | 0.117188 | + | 0.313051i | ||||
\(749\) | 4.78609 | + | 3.62726i | 0.174880 | + | 0.132537i | ||||
\(750\) | 23.9596 | − | 7.27609i | 0.874880 | − | 0.265685i | ||||
\(751\) | 34.8309 | + | 20.1096i | 1.27100 | + | 0.733811i | 0.975176 | − | 0.221432i | \(-0.0710732\pi\) |
0.295822 | + | 0.955243i | \(0.404407\pi\) | |||||||
\(752\) | −14.5274 | − | 29.7253i | −0.529759 | − | 1.08397i | ||||
\(753\) | 18.9191 | + | 5.06936i | 0.689451 | + | 0.184738i | ||||
\(754\) | 17.1108 | − | 0.825319i | 0.623140 | − | 0.0300564i | ||||
\(755\) | −29.1315 | − | 20.6183i | −1.06020 | − | 0.750377i | ||||
\(756\) | −29.2509 | − | 0.834811i | −1.06385 | − | 0.0303618i | ||||
\(757\) | −25.8937 | + | 25.8937i | −0.941123 | + | 0.941123i | −0.998361 | − | 0.0572373i | \(-0.981771\pi\) |
0.0572373 | + | 0.998361i | \(0.481771\pi\) | |||||||
\(758\) | −20.1443 | − | 18.2905i | −0.731675 | − | 0.664340i | ||||
\(759\) | 10.1343 | + | 17.5531i | 0.367852 | + | 0.637138i | ||||
\(760\) | −32.3689 | + | 35.9426i | −1.17414 | + | 1.30378i | ||||
\(761\) | 11.7952 | − | 20.4299i | 0.427577 | − | 0.740585i | −0.569080 | − | 0.822282i | \(-0.692701\pi\) |
0.996657 | + | 0.0816972i | \(0.0260340\pi\) | |||||||
\(762\) | −0.923693 | + | 4.25838i | −0.0334619 | + | 0.154265i | ||||
\(763\) | −2.84372 | + | 6.98307i | −0.102949 | + | 0.252804i | ||||
\(764\) | −2.09213 | + | 4.59563i | −0.0756907 | + | 0.166264i | ||||
\(765\) | −1.33900 | − | 0.495034i | −0.0484116 | − | 0.0178980i | ||||
\(766\) | −23.9966 | + | 46.6151i | −0.867032 | + | 1.68427i | ||||
\(767\) | 28.6693 | + | 7.68191i | 1.03519 | + | 0.277378i | ||||
\(768\) | 25.1449 | − | 3.12820i | 0.907338 | − | 0.112879i | ||||
\(769\) | 52.0526i | 1.87707i | 0.345191 | + | 0.938533i | \(0.387814\pi\) | ||||
−0.345191 | + | 0.938533i | \(0.612186\pi\) | |||||||
\(770\) | −18.8200 | + | 22.6802i | −0.678224 | + | 0.817336i | ||||
\(771\) | 11.5724 | 0.416770 | ||||||||
\(772\) | 9.04952 | − | 54.2108i | 0.325699 | − | 1.95109i | ||||
\(773\) | 2.99897 | − | 11.1923i | 0.107866 | − | 0.402560i | −0.890789 | − | 0.454417i | \(-0.849848\pi\) |
0.998654 | + | 0.0518576i | \(0.0165142\pi\) | |||||||
\(774\) | 3.17955 | − | 6.17651i | 0.114287 | − | 0.222010i | ||||
\(775\) | −2.56646 | + | 13.7413i | −0.0921901 | + | 0.493603i | ||||
\(776\) | −3.30263 | − | 22.6821i | −0.118558 | − | 0.814241i | ||||
\(777\) | 4.35516 | − | 3.38337i | 0.156241 | − | 0.121378i | ||||
\(778\) | 42.4946 | + | 9.21759i | 1.52350 | + | 0.330467i | ||||
\(779\) | −29.8125 | − | 17.2123i | −1.06814 | − | 0.616694i | ||||
\(780\) | 14.6759 | + | 8.39363i | 0.525480 | + | 0.300540i | ||||
\(781\) | −7.96159 | + | 4.59663i | −0.284888 | + | 0.164480i | ||||
\(782\) | −4.93644 | − | 4.48215i | −0.176527 | − | 0.160281i | ||||
\(783\) | 19.8430 | + | 19.8430i | 0.709130 | + | 0.709130i | ||||
\(784\) | 1.59692 | − | 27.9544i | 0.0570328 | − | 0.998372i | ||||
\(785\) | −0.116747 | − | 0.682252i | −0.00416687 | − | 0.0243506i | ||||
\(786\) | 0.440959 | + | 9.14215i | 0.0157285 | + | 0.326090i | ||||
\(787\) | −4.88402 | + | 18.2274i | −0.174097 | + | 0.649737i | 0.822607 | + | 0.568610i | \(0.192519\pi\) |
−0.996704 | + | 0.0811272i | \(0.974148\pi\) | |||||||
\(788\) | −35.2126 | − | 29.0034i | −1.25440 | − | 1.03320i | ||||
\(789\) | −0.556403 | + | 0.963718i | −0.0198085 | + | 0.0343093i | ||||
\(790\) | −17.0912 | + | 15.6457i | −0.608078 | + | 0.556651i | ||||
\(791\) | −24.8962 | − | 3.12643i | −0.885208 | − | 0.111163i | ||||
\(792\) | −2.93053 | + | 3.92936i | −0.104132 | + | 0.139624i | ||||
\(793\) | −7.97816 | − | 29.7749i | −0.283313 | − | 1.05734i | ||||
\(794\) | −6.89829 | − | 3.55111i | −0.244811 | − | 0.126024i | ||||
\(795\) | 42.9601 | + | 3.97744i | 1.52364 | + | 0.141065i | ||||
\(796\) | 7.87279 | − | 5.62035i | 0.279044 | − | 0.199208i | ||||
\(797\) | 21.9699 | − | 21.9699i | 0.778215 | − | 0.778215i | −0.201312 | − | 0.979527i | \(-0.564521\pi\) |
0.979527 | + | 0.201312i | \(0.0645206\pi\) | |||||||
\(798\) | −29.4941 | − | 34.4067i | −1.04408 | − | 1.21799i | ||||
\(799\) | 10.7333 | 0.379716 | ||||||||
\(800\) | 8.84729 | + | 26.8649i | 0.312799 | + | 0.949819i | ||||
\(801\) | 1.33806 | + | 2.31759i | 0.0472781 | + | 0.0818881i | ||||
\(802\) | −5.83923 | − | 18.2292i | −0.206190 | − | 0.643695i | ||||
\(803\) | −1.47965 | − | 5.52214i | −0.0522158 | − | 0.194872i | ||||
\(804\) | −9.65491 | − | 4.39534i | −0.340503 | − | 0.155012i | ||||
\(805\) | 4.63305 | − | 20.9897i | 0.163294 | − | 0.739791i | ||||
\(806\) | −7.93700 | + | 5.10749i | −0.279569 | + | 0.179904i | ||||
\(807\) | 11.1200 | + | 41.5003i | 0.391441 | + | 1.46088i | ||||
\(808\) | −5.04857 | − | 0.594470i | −0.177608 | − | 0.0209134i | ||||
\(809\) | 35.4170 | − | 20.4480i | 1.24519 | − | 0.718913i | 0.275047 | − | 0.961431i | \(-0.411307\pi\) |
0.970147 | + | 0.242518i | \(0.0779732\pi\) | |||||||
\(810\) | 4.97304 | + | 22.4842i | 0.174735 | + | 0.790015i | ||||
\(811\) | 5.00467 | 0.175738 | 0.0878689 | − | 0.996132i | \(-0.471994\pi\) | ||||
0.0878689 | + | 0.996132i | \(0.471994\pi\) | |||||||
\(812\) | −19.5206 | + | 18.4373i | −0.685038 | + | 0.647021i | ||||
\(813\) | −10.9909 | − | 10.9909i | −0.385469 | − | 0.385469i | ||||
\(814\) | −0.315896 | − | 6.54929i | −0.0110722 | − | 0.229552i | ||||
\(815\) | −31.4482 | + | 26.1184i | −1.10158 | + | 0.914889i | ||||
\(816\) | −2.67002 | + | 7.77449i | −0.0934695 | + | 0.272161i | ||||
\(817\) | 73.7570 | − | 19.7631i | 2.58043 | − | 0.691424i | ||||
\(818\) | 7.82347 | − | 36.0674i | 0.273541 | − | 1.26107i | ||||
\(819\) | 1.87684 | − | 2.47644i | 0.0655820 | − | 0.0865339i | ||||
\(820\) | −17.3918 | + | 10.1358i | −0.607350 | + | 0.353958i | ||||
\(821\) | 15.0739 | + | 8.70295i | 0.526084 | + | 0.303735i | 0.739420 | − | 0.673244i | \(-0.235100\pi\) |
−0.213336 | + | 0.976979i | \(0.568433\pi\) | |||||||
\(822\) | −12.9902 | − | 40.5536i | −0.453086 | − | 1.41447i | ||||
\(823\) | 4.16440 | − | 15.5418i | 0.145162 | − | 0.541751i | −0.854586 | − | 0.519309i | \(-0.826189\pi\) |
0.999748 | − | 0.0224420i | \(-0.00714411\pi\) | |||||||
\(824\) | 1.07933 | + | 0.429859i | 0.0376002 | + | 0.0149749i | ||||
\(825\) | 25.1589 | + | 12.0429i | 0.875921 | + | 0.419281i | ||||
\(826\) | −41.9539 | + | 20.1044i | −1.45976 | + | 0.699520i | ||||
\(827\) | 31.7551 | + | 31.7551i | 1.10423 | + | 1.10423i | 0.993894 | + | 0.110339i | \(0.0351937\pi\) |
0.110339 | + | 0.993894i | \(0.464806\pi\) | |||||||
\(828\) | 0.588655 | − | 3.52632i | 0.0204572 | − | 0.122548i | ||||
\(829\) | 17.4297 | + | 30.1891i | 0.605359 | + | 1.04851i | 0.991995 | + | 0.126280i | \(0.0403037\pi\) |
−0.386636 | + | 0.922232i | \(0.626363\pi\) | |||||||
\(830\) | −19.6025 | + | 10.1922i | −0.680414 | + | 0.353776i | ||||
\(831\) | 13.8080 | + | 7.97207i | 0.478996 | + | 0.276548i | ||||
\(832\) | −9.09222 | + | 16.7938i | −0.315216 | + | 0.582219i | ||||
\(833\) | 7.92030 | + | 4.44745i | 0.274422 | + | 0.154095i | ||||
\(834\) | 5.19658 | + | 8.07544i | 0.179943 | + | 0.279630i | ||||
\(835\) | −32.6351 | − | 12.0654i | −1.12938 | − | 0.417539i | ||||
\(836\) | −53.6300 | + | 5.18561i | −1.85483 | + | 0.179348i | ||||
\(837\) | −14.9343 | − | 4.00164i | −0.516206 | − | 0.138317i | ||||
\(838\) | 13.4905 | + | 12.2490i | 0.466022 | + | 0.423135i | ||||
\(839\) | −3.57010 | −0.123253 | −0.0616267 | − | 0.998099i | \(-0.519629\pi\) | ||||
−0.0616267 | + | 0.998099i | \(0.519629\pi\) | |||||||
\(840\) | −26.0273 | + | 4.98242i | −0.898026 | + | 0.171910i | ||||
\(841\) | −3.25053 | −0.112087 | ||||||||
\(842\) | −24.8451 | − | 22.5587i | −0.856220 | − | 0.777423i | ||||
\(843\) | −28.3314 | − | 7.59137i | −0.975785 | − | 0.261461i | ||||
\(844\) | 1.70482 | + | 17.6314i | 0.0586823 | + | 0.606897i | ||||
\(845\) | 14.8318 | − | 6.82514i | 0.510231 | − | 0.234792i | ||||
\(846\) | 3.11428 | + | 4.83957i | 0.107071 | + | 0.166388i | ||||
\(847\) | −3.69114 | + | 0.508404i | −0.126829 | + | 0.0174690i | ||||
\(848\) | −3.36064 | + | 48.6177i | −0.115405 | + | 1.66954i | ||||
\(849\) | 7.63964 | + | 4.41075i | 0.262192 | + | 0.151376i | ||||
\(850\) | −9.09049 | − | 1.24812i | −0.311801 | − | 0.0428101i | ||||
\(851\) | 2.39112 | + | 4.14154i | 0.0819664 | + | 0.141970i | ||||
\(852\) | −8.15342 | − | 1.36107i | −0.279331 | − | 0.0466293i | ||||
\(853\) | 14.3301 | + | 14.3301i | 0.490652 | + | 0.490652i | 0.908512 | − | 0.417859i | \(-0.137220\pi\) |
−0.417859 | + | 0.908512i | \(0.637220\pi\) | |||||||
\(854\) | 39.8682 | + | 27.2945i | 1.36426 | + | 0.933997i | ||||
\(855\) | 4.86064 | − | 6.86757i | 0.166230 | − | 0.234866i | ||||
\(856\) | 5.96433 | + | 2.37538i | 0.203856 | + | 0.0811889i | ||||
\(857\) | 6.45005 | − | 24.0719i | 0.220330 | − | 0.822281i | −0.763893 | − | 0.645343i | \(-0.776714\pi\) |
0.984222 | − | 0.176938i | \(-0.0566191\pi\) | |||||||
\(858\) | 5.74500 | + | 17.9350i | 0.196131 | + | 0.612292i | ||||
\(859\) | 33.7707 | + | 19.4975i | 1.15224 | + | 0.665246i | 0.949432 | − | 0.313972i | \(-0.101660\pi\) |
0.202808 | + | 0.979218i | \(0.434993\pi\) | |||||||
\(860\) | 11.3809 | − | 43.1763i | 0.388084 | − | 1.47230i | ||||
\(861\) | −7.32136 | − | 17.3808i | −0.249511 | − | 0.592337i | ||||
\(862\) | 0.492799 | − | 2.27188i | 0.0167848 | − | 0.0773807i | ||||
\(863\) | −14.0466 | + | 3.76378i | −0.478152 | + | 0.128121i | −0.489842 | − | 0.871811i | \(-0.662946\pi\) |
0.0116897 | + | 0.999932i | \(0.496279\pi\) | |||||||
\(864\) | −30.3793 | + | 7.46595i | −1.03353 | + | 0.253997i | ||||
\(865\) | −5.97360 | − | 7.19259i | −0.203109 | − | 0.244555i | ||||
\(866\) | −0.231554 | − | 4.80068i | −0.00786854 | − | 0.163134i | ||||
\(867\) | 17.1513 | + | 17.1513i | 0.582490 | + | 0.582490i | ||||
\(868\) | 4.23505 | − | 14.1748i | 0.143747 | − | 0.481123i | ||||
\(869\) | −25.8108 | −0.875573 | ||||||||
\(870\) | 21.4260 | + | 13.6647i | 0.726411 | + | 0.463277i | ||||
\(871\) | 6.92404 | − | 3.99759i | 0.234612 | − | 0.135453i | ||||
\(872\) | −0.942610 | + | 8.00518i | −0.0319208 | + | 0.271089i | ||||
\(873\) | 1.03192 | + | 3.85119i | 0.0349253 | + | 0.130343i | ||||
\(874\) | 33.0461 | − | 21.2653i | 1.11780 | − | 0.719311i | ||||
\(875\) | −11.0683 | − | 27.4316i | −0.374178 | − | 0.927357i | ||||
\(876\) | 2.12985 | − | 4.67847i | 0.0719608 | − | 0.158071i | ||||
\(877\) | 5.32190 | + | 19.8616i | 0.179708 | + | 0.670678i | 0.995702 | + | 0.0926180i | \(0.0295235\pi\) |
−0.815994 | + | 0.578060i | \(0.803810\pi\) | |||||||
\(878\) | −2.72652 | − | 8.51178i | −0.0920155 | − | 0.287259i | ||||
\(879\) | −3.98937 | − | 6.90979i | −0.134558 | − | 0.233062i | ||||
\(880\) | −12.9372 | + | 28.7279i | −0.436115 | + | 0.968417i | ||||
\(881\) | −19.0415 | −0.641523 | −0.320761 | − | 0.947160i | \(-0.603939\pi\) | ||||
−0.320761 | + | 0.947160i | \(0.603939\pi\) | |||||||
\(882\) | 0.292765 | + | 4.86165i | 0.00985791 | + | 0.163700i | ||||
\(883\) | −2.84748 | + | 2.84748i | −0.0958254 | + | 0.0958254i | −0.753394 | − | 0.657569i | \(-0.771585\pi\) |
0.657569 | + | 0.753394i | \(0.271585\pi\) | |||||||
\(884\) | −3.59966 | − | 5.04228i | −0.121070 | − | 0.169590i | ||||
\(885\) | 28.1309 | + | 33.8713i | 0.945610 | + | 1.13857i | ||||
\(886\) | −35.7125 | − | 18.3841i | −1.19979 | − | 0.617627i | ||||
\(887\) | 12.8098 | + | 47.8070i | 0.430112 | + | 1.60520i | 0.752499 | + | 0.658593i | \(0.228848\pi\) |
−0.322387 | + | 0.946608i | \(0.604485\pi\) | |||||||
\(888\) | 3.52473 | − | 4.72609i | 0.118282 | − | 0.158597i | ||||
\(889\) | 5.10740 | + | 0.641379i | 0.171297 | + | 0.0215112i | ||||
\(890\) | 11.6145 | + | 12.6875i | 0.389319 | + | 0.425286i | ||||
\(891\) | −12.8255 | + | 22.2145i | −0.429671 | + | 0.744212i | ||||
\(892\) | 1.04625 | − | 1.27024i | 0.0350311 | − | 0.0425307i | ||||
\(893\) | −16.3724 | + | 61.1028i | −0.547883 | + | 2.04473i | ||||
\(894\) | −0.230005 | − | 4.76855i | −0.00769251 | − | 0.159484i | ||||
\(895\) | −37.2007 | − | 26.3294i | −1.24348 | − | 0.880096i | ||||
\(896\) | −6.31158 | − | 29.2603i | −0.210855 | − | 0.977517i | ||||
\(897\) | −9.71247 | − | 9.71247i | −0.324290 | − | 0.324290i | ||||
\(898\) | 3.71626 | + | 3.37426i | 0.124013 | + | 0.112600i | ||||
\(899\) | −12.2862 | + | 7.09346i | −0.409769 | + | 0.236580i | ||||
\(900\) | −2.07485 | − | 4.46099i | −0.0691618 | − | 0.148700i | ||||
\(901\) | −13.6917 | − | 7.90492i | −0.456137 | − | 0.263351i | ||||
\(902\) | −21.9136 | − | 4.75332i | −0.729642 | − | 0.158268i | ||||
\(903\) | 38.7446 | + | 15.7780i | 1.28934 | + | 0.525059i | ||||
\(904\) | −26.5443 | + | 3.86499i | −0.882851 | + | 0.128548i | ||||
\(905\) | −35.3185 | + | 16.2525i | −1.17403 | + | 0.540250i | ||||
\(906\) | 16.3612 | − | 31.7828i | 0.543564 | − | 1.05591i | ||||
\(907\) | 2.16896 | − | 8.09467i | 0.0720191 | − | 0.268779i | −0.920522 | − | 0.390691i | \(-0.872236\pi\) |
0.992541 | + | 0.121912i | \(0.0389027\pi\) | |||||||
\(908\) | 19.2262 | + | 3.20946i | 0.638042 | + | 0.106510i | ||||
\(909\) | 0.884240 | 0.0293284 | ||||||||
\(910\) | 8.34124 | − | 18.1470i | 0.276509 | − | 0.601566i | ||||
\(911\) | 35.9285i | 1.19036i | 0.803591 | + | 0.595182i | \(0.202920\pi\) | ||||
−0.803591 | + | 0.595182i | \(0.797080\pi\) | |||||||
\(912\) | −40.1860 | − | 27.0591i | −1.33069 | − | 0.896017i | ||||
\(913\) | −23.7723 | − | 6.36978i | −0.786750 | − | 0.210809i | ||||
\(914\) | −1.61718 | + | 3.14150i | −0.0534917 | + | 0.103911i | ||||
\(915\) | 15.8568 | − | 42.8904i | 0.524209 | − | 1.41791i | ||||
\(916\) | 18.9928 | + | 8.64635i | 0.627540 | + | 0.285684i | ||||
\(917\) | 10.7113 | − | 1.47533i | 0.353718 | − | 0.0487197i | ||||
\(918\) | 2.15135 | − | 9.91805i | 0.0710050 | − | 0.327345i | ||||
\(919\) | 6.88039 | − | 11.9172i | 0.226963 | − | 0.393112i | −0.729943 | − | 0.683508i | \(-0.760454\pi\) |
0.956907 | + | 0.290396i | \(0.0937870\pi\) | |||||||
\(920\) | −1.20052 | − | 22.9477i | −0.0395799 | − | 0.756564i | ||||
\(921\) | −1.67068 | − | 2.89371i | −0.0550508 | − | 0.0953509i | ||||
\(922\) | 24.8127 | + | 22.5292i | 0.817162 | + | 0.741960i | ||||
\(923\) | 4.40530 | − | 4.40530i | 0.145002 | − | 0.145002i | ||||
\(924\) | −25.1326 | − | 15.4827i | −0.826803 | − | 0.509344i | ||||
\(925\) | 5.93607 | + | 2.84144i | 0.195177 | + | 0.0934261i | ||||
\(926\) | 26.9256 | − | 1.29872i | 0.884831 | − | 0.0426787i | ||||
\(927\) | −0.195200 | − | 0.0523036i | −0.00641120 | − | 0.00171788i | ||||
\(928\) | −14.8669 | + | 24.5552i | −0.488031 | + | 0.806064i | ||||
\(929\) | −11.8867 | − | 6.86276i | −0.389989 | − | 0.225160i | 0.292167 | − | 0.956367i | \(-0.405624\pi\) |
−0.682155 | + | 0.731207i | \(0.738957\pi\) | |||||||
\(930\) | −13.9877 | − | 0.617607i | −0.458674 | − | 0.0202521i | ||||
\(931\) | −37.4001 | + | 38.3049i | −1.22574 | + | 1.25539i | ||||
\(932\) | 25.1814 | − | 9.42641i | 0.824844 | − | 0.308772i | ||||
\(933\) | 22.0544 | − | 5.90945i | 0.722028 | − | 0.193467i | ||||
\(934\) | 1.63133 | − | 3.16898i | 0.0533787 | − | 0.103692i | ||||
\(935\) | −6.53035 | − | 7.86295i | −0.213565 | − | 0.257146i | ||||
\(936\) | 1.22908 | − | 3.08609i | 0.0401738 | − | 0.100872i | ||||
\(937\) | −28.0706 | − | 28.0706i | −0.917028 | − | 0.917028i | 0.0797841 | − | 0.996812i | \(-0.474577\pi\) |
−0.996812 | + | 0.0797841i | \(0.974577\pi\) | |||||||
\(938\) | −4.16182 | + | 11.8206i | −0.135888 | + | 0.385957i | ||||
\(939\) | 9.59508i | 0.313124i | ||||||||
\(940\) | 26.2625 | + | 26.0495i | 0.856588 | + | 0.849641i | ||||
\(941\) | 5.44393 | − | 3.14306i | 0.177467 | − | 0.102461i | −0.408635 | − | 0.912698i | \(-0.633995\pi\) |
0.586102 | + | 0.810237i | \(0.300662\pi\) | |||||||
\(942\) | 0.660232 | − | 0.211487i | 0.0215115 | − | 0.00689063i | ||||
\(943\) | 15.7969 | − | 4.23277i | 0.514419 | − | 0.137838i | ||||
\(944\) | −37.5089 | + | 32.6586i | −1.22081 | + | 1.06295i | ||||
\(945\) | 31.1936 | − | 9.86686i | 1.01473 | − | 0.320969i | ||||
\(946\) | 41.8262 | − | 26.9153i | 1.35989 | − | 0.875092i | ||||
\(947\) | −0.711568 | + | 0.190664i | −0.0231229 | + | 0.00619575i | −0.270362 | − | 0.962759i | \(-0.587143\pi\) |
0.247239 | + | 0.968955i | \(0.420477\pi\) | |||||||
\(948\) | −17.9139 | − | 14.7550i | −0.581816 | − | 0.479222i | ||||
\(949\) | 1.93711 | + | 3.35518i | 0.0628813 | + | 0.108914i | ||||
\(950\) | 20.9719 | − | 49.8468i | 0.680418 | − | 1.61724i | ||||
\(951\) | 26.9067i | 0.872510i | ||||||||
\(952\) | 9.42745 | + | 2.32840i | 0.305545 | + | 0.0754638i | ||||
\(953\) | −2.24676 | + | 2.24676i | −0.0727798 | + | 0.0727798i | −0.742560 | − | 0.669780i | \(-0.766388\pi\) |
0.669780 | + | 0.742560i | \(0.266388\pi\) | |||||||
\(954\) | −0.408401 | − | 8.46713i | −0.0132225 | − | 0.274134i | ||||
\(955\) | 0.520455 | − | 5.62140i | 0.0168415 | − | 0.181904i | ||||
\(956\) | 5.04274 | + | 52.1524i | 0.163094 | + | 1.68673i | ||||
\(957\) | 7.32658 | + | 27.3432i | 0.236835 | + | 0.883879i | ||||
\(958\) | −25.3028 | − | 5.48849i | −0.817497 | − | 0.177325i | ||||
\(959\) | −46.3597 | + | 19.5281i | −1.49703 | + | 0.630597i | ||||
\(960\) | −25.4016 | + | 12.5427i | −0.819834 | + | 0.404815i | ||||
\(961\) | −11.5918 | + | 20.0776i | −0.373929 | + | 0.647663i | ||||
\(962\) | 1.35549 | + | 4.23165i | 0.0437029 | + | 0.136434i | ||||
\(963\) | −1.07866 | − | 0.289027i | −0.0347595 | − | 0.00931377i | ||||
\(964\) | −34.4150 | + | 24.5687i | −1.10843 | + | 0.791306i | ||||
\(965\) | 10.3644 | + | 60.5679i | 0.333640 | + | 1.94975i | ||||
\(966\) | 21.4660 | + | 1.65029i | 0.690659 | + | 0.0530972i | ||||
\(967\) | 19.3131 | − | 19.3131i | 0.621067 | − | 0.621067i | −0.324738 | − | 0.945804i | \(-0.605276\pi\) |
0.945804 | + | 0.324738i | \(0.105276\pi\) | |||||||
\(968\) | −3.65883 | + | 1.57456i | −0.117599 | + | 0.0506082i | ||||
\(969\) | 13.6112 | − | 7.85841i | 0.437254 | − | 0.252449i | ||||
\(970\) | 11.8220 | + | 22.7371i | 0.379580 | + | 0.730044i | ||||
\(971\) | 1.81116 | − | 3.13703i | 0.0581230 | − | 0.100672i | −0.835500 | − | 0.549491i | \(-0.814822\pi\) |
0.893623 | + | 0.448819i | \(0.148155\pi\) | |||||||
\(972\) | 9.47440 | − | 3.54665i | 0.303892 | − | 0.113759i | ||||
\(973\) | 8.95857 | − | 6.95959i | 0.287198 | − | 0.223114i | ||||
\(974\) | −33.7674 | + | 21.7294i | −1.08198 | + | 0.696256i | ||||
\(975\) | −18.5809 | − | 3.47035i | −0.595064 | − | 0.111140i | ||||
\(976\) | 48.8516 | + | 16.7773i | 1.56370 | + | 0.537029i | ||||
\(977\) | 0.648307 | − | 2.41951i | 0.0207412 | − | 0.0774071i | −0.954780 | − | 0.297315i | \(-0.903909\pi\) |
0.975521 | + | 0.219908i | \(0.0705756\pi\) | |||||||
\(978\) | −30.3139 | − | 27.5242i | −0.969333 | − | 0.880127i | ||||
\(979\) | 19.1605i | 0.612371i | ||||||||
\(980\) | 8.58573 | + | 30.1046i | 0.274261 | + | 0.961655i | ||||
\(981\) | − | 1.40208i | − | 0.0447649i | ||||||
\(982\) | −10.8336 | + | 11.9317i | −0.345716 | + | 0.380756i | ||||
\(983\) | 0.464575 | − | 1.73382i | 0.0148176 | − | 0.0553002i | −0.958121 | − | 0.286363i | \(-0.907554\pi\) |
0.972939 | + | 0.231063i | \(0.0742203\pi\) | |||||||
\(984\) | −12.4917 | − | 15.8261i | −0.398221 | − | 0.504519i | ||||
\(985\) | 47.8393 | + | 17.6864i | 1.52429 | + | 0.563537i | ||||
\(986\) | −5.03928 | − | 7.83100i | −0.160483 | − | 0.249390i | ||||
\(987\) | −27.3685 | + | 21.2616i | −0.871150 | + | 0.676765i | ||||
\(988\) | 34.1958 | − | 12.8008i | 1.08791 | − | 0.407249i | ||||
\(989\) | −18.1380 | + | 31.4160i | −0.576755 | + | 0.998969i | ||||
\(990\) | 1.65056 | − | 5.22594i | 0.0524582 | − | 0.166091i | ||||
\(991\) | −4.15586 | + | 2.39939i | −0.132015 | + | 0.0762190i | −0.564553 | − | 0.825397i | \(-0.690951\pi\) |
0.432538 | + | 0.901616i | \(0.357618\pi\) | |||||||
\(992\) | 0.329216 | − | 15.8119i | 0.0104526 | − | 0.502029i | ||||
\(993\) | 22.1083 | − | 22.1083i | 0.701587 | − | 0.701587i | ||||
\(994\) | −0.748525 | + | 9.73638i | −0.0237418 | + | 0.308819i | ||||
\(995\) | −6.24786 | + | 8.82755i | −0.198070 | + | 0.279852i | ||||
\(996\) | −12.8577 | − | 18.0106i | −0.407413 | − | 0.570689i | ||||
\(997\) | 24.9653 | + | 6.68943i | 0.790659 | + | 0.211856i | 0.631479 | − | 0.775393i | \(-0.282448\pi\) |
0.159180 | + | 0.987250i | \(0.449115\pi\) | |||||||
\(998\) | 36.4979 | − | 11.6911i | 1.15532 | − | 0.370075i | ||||
\(999\) | −3.63945 | + | 6.30371i | −0.115147 | + | 0.199440i |
(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 | 280.2.br.a.107.13 | yes | 176 | |
5.3 | odd | 4 | inner | 280.2.br.a.163.34 | yes | 176 | |
7.4 | even | 3 | inner | 280.2.br.a.67.17 | ✓ | 176 | |
8.3 | odd | 2 | inner | 280.2.br.a.107.5 | yes | 176 | |
35.18 | odd | 12 | inner | 280.2.br.a.123.5 | yes | 176 | |
40.3 | even | 4 | inner | 280.2.br.a.163.17 | yes | 176 | |
56.11 | odd | 6 | inner | 280.2.br.a.67.34 | yes | 176 | |
280.123 | even | 12 | inner | 280.2.br.a.123.13 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.br.a.67.17 | ✓ | 176 | 7.4 | even | 3 | inner | |
280.2.br.a.67.34 | yes | 176 | 56.11 | odd | 6 | inner | |
280.2.br.a.107.5 | yes | 176 | 8.3 | odd | 2 | inner | |
280.2.br.a.107.13 | yes | 176 | 1.1 | even | 1 | trivial | |
280.2.br.a.123.5 | yes | 176 | 35.18 | odd | 12 | inner | |
280.2.br.a.123.13 | yes | 176 | 280.123 | even | 12 | inner | |
280.2.br.a.163.17 | yes | 176 | 40.3 | even | 4 | inner | |
280.2.br.a.163.34 | yes | 176 | 5.3 | odd | 4 | inner |