Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,3,Mod(19,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 23, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.u (of order \(32\), degree \(16\), 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: | \(10.4632421514\) |
Analytic rank: | \(0\) |
Dimension: | \(1024\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 235.57 | ||
Character | \(\chi\) | \(=\) | 384.235 |
Dual form | 384.3.u.a.67.57 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{32}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.88062 | + | 0.680636i | 0.940310 | + | 0.340318i | ||||
\(3\) | −1.09880 | + | 1.33889i | −0.366267 | + | 0.446298i | ||||
\(4\) | 3.07347 | + | 2.56004i | 0.768367 | + | 0.640009i | ||||
\(5\) | −1.13524 | − | 3.74238i | −0.227048 | − | 0.748475i | −0.994251 | − | 0.107072i | \(-0.965852\pi\) |
0.767204 | − | 0.641404i | \(-0.221648\pi\) | |||||||
\(6\) | −2.97773 | + | 1.77007i | −0.496288 | + | 0.295011i | ||||
\(7\) | 1.55808 | − | 7.83300i | 0.222583 | − | 1.11900i | −0.694252 | − | 0.719732i | \(-0.744264\pi\) |
0.916834 | − | 0.399268i | \(-0.130736\pi\) | |||||||
\(8\) | 4.03757 | + | 6.90637i | 0.504697 | + | 0.863297i | ||||
\(9\) | −0.585271 | − | 2.94236i | −0.0650301 | − | 0.326928i | ||||
\(10\) | 0.412246 | − | 7.81068i | 0.0412246 | − | 0.781068i | ||||
\(11\) | 8.20162 | + | 0.807789i | 0.745602 | + | 0.0734354i | 0.463681 | − | 0.886002i | \(-0.346528\pi\) |
0.281921 | + | 0.959438i | \(0.409028\pi\) | |||||||
\(12\) | −6.80475 | + | 1.30207i | −0.567062 | + | 0.108506i | ||||
\(13\) | 15.8401 | + | 4.80505i | 1.21847 | + | 0.369619i | 0.833089 | − | 0.553139i | \(-0.186570\pi\) |
0.385381 | + | 0.922758i | \(0.374070\pi\) | |||||||
\(14\) | 8.26158 | − | 13.6704i | 0.590113 | − | 0.976458i | ||||
\(15\) | 6.25805 | + | 2.59217i | 0.417203 | + | 0.172811i | ||||
\(16\) | 2.89242 | + | 15.7364i | 0.180776 | + | 0.983524i | ||||
\(17\) | −1.56195 | − | 3.77088i | −0.0918794 | − | 0.221816i | 0.871259 | − | 0.490824i | \(-0.163304\pi\) |
−0.963138 | + | 0.269008i | \(0.913304\pi\) | |||||||
\(18\) | 0.902001 | − | 5.93181i | 0.0501112 | − | 0.329545i | ||||
\(19\) | 12.6007 | − | 6.73519i | 0.663192 | − | 0.354484i | −0.105211 | − | 0.994450i | \(-0.533552\pi\) |
0.768403 | + | 0.639966i | \(0.221052\pi\) | |||||||
\(20\) | 6.09151 | − | 14.4083i | 0.304575 | − | 0.720417i | ||||
\(21\) | 8.77553 | + | 10.6930i | 0.417882 | + | 0.509191i | ||||
\(22\) | 14.8743 | + | 7.10147i | 0.676106 | + | 0.322794i | ||||
\(23\) | −2.67064 | − | 1.78447i | −0.116115 | − | 0.0775855i | 0.496157 | − | 0.868233i | \(-0.334744\pi\) |
−0.612272 | + | 0.790647i | \(0.709744\pi\) | |||||||
\(24\) | −13.6834 | − | 2.18285i | −0.570141 | − | 0.0909521i | ||||
\(25\) | 8.07012 | − | 5.39228i | 0.322805 | − | 0.215691i | ||||
\(26\) | 26.5188 | + | 19.8178i | 1.01995 | + | 0.762224i | ||||
\(27\) | 4.58260 | + | 2.44945i | 0.169726 | + | 0.0907203i | ||||
\(28\) | 24.8415 | − | 20.0857i | 0.887196 | − | 0.717348i | ||||
\(29\) | 3.60622 | − | 0.355182i | 0.124353 | − | 0.0122477i | −0.0356494 | − | 0.999364i | \(-0.511350\pi\) |
0.160002 | + | 0.987117i | \(0.448850\pi\) | |||||||
\(30\) | 10.0047 | + | 9.13434i | 0.333490 | + | 0.304478i | ||||
\(31\) | −25.7916 | + | 25.7916i | −0.831988 | + | 0.831988i | −0.987789 | − | 0.155800i | \(-0.950204\pi\) |
0.155800 | + | 0.987789i | \(0.450204\pi\) | |||||||
\(32\) | −5.27122 | + | 31.5629i | −0.164725 | + | 0.986339i | ||||
\(33\) | −10.0935 | + | 10.0935i | −0.305864 | + | 0.305864i | ||||
\(34\) | −0.370837 | − | 8.15471i | −0.0109070 | − | 0.239845i | ||||
\(35\) | −31.0828 | + | 3.06139i | −0.888081 | + | 0.0874683i | ||||
\(36\) | 5.73373 | − | 10.5416i | 0.159270 | − | 0.292821i | ||||
\(37\) | 25.0889 | + | 13.4103i | 0.678078 | + | 0.362440i | 0.774210 | − | 0.632928i | \(-0.218147\pi\) |
−0.0961324 | + | 0.995369i | \(0.530647\pi\) | |||||||
\(38\) | 28.2813 | − | 4.08988i | 0.744244 | − | 0.107628i | ||||
\(39\) | −23.8386 | + | 15.9284i | −0.611246 | + | 0.408421i | ||||
\(40\) | 21.2626 | − | 22.9505i | 0.531566 | − | 0.573763i | ||||
\(41\) | 3.25035 | + | 2.17182i | 0.0792769 | + | 0.0529711i | 0.594577 | − | 0.804039i | \(-0.297320\pi\) |
−0.515300 | + | 0.857010i | \(0.672320\pi\) | |||||||
\(42\) | 9.22539 | + | 26.0825i | 0.219652 | + | 0.621011i | ||||
\(43\) | −49.9703 | − | 60.8889i | −1.16210 | − | 1.41602i | −0.891317 | − | 0.453381i | \(-0.850218\pi\) |
−0.270782 | − | 0.962641i | \(-0.587282\pi\) | |||||||
\(44\) | 23.1395 | + | 23.4792i | 0.525897 | + | 0.533617i | ||||
\(45\) | −10.3470 | + | 5.53058i | −0.229933 | + | 0.122902i | ||||
\(46\) | −3.80789 | − | 5.17364i | −0.0827803 | − | 0.112470i | ||||
\(47\) | 24.7537 | + | 59.7607i | 0.526675 | + | 1.27150i | 0.933690 | + | 0.358083i | \(0.116570\pi\) |
−0.407015 | + | 0.913421i | \(0.633430\pi\) | |||||||
\(48\) | −24.2475 | − | 13.4185i | −0.505157 | − | 0.279553i | ||||
\(49\) | −13.6582 | − | 5.65740i | −0.278738 | − | 0.115457i | ||||
\(50\) | 18.8470 | − | 4.64802i | 0.376940 | − | 0.0929604i | ||||
\(51\) | 6.76508 | + | 2.05216i | 0.132649 | + | 0.0402385i | ||||
\(52\) | 36.3830 | + | 55.3194i | 0.699673 | + | 1.06384i | ||||
\(53\) | −48.8049 | − | 4.80686i | −0.920847 | − | 0.0906955i | −0.373527 | − | 0.927619i | \(-0.621852\pi\) |
−0.547320 | + | 0.836924i | \(0.684352\pi\) | |||||||
\(54\) | 6.95094 | + | 7.72557i | 0.128721 | + | 0.143066i | ||||
\(55\) | −6.28774 | − | 31.6106i | −0.114323 | − | 0.574738i | ||||
\(56\) | 60.3885 | − | 20.8656i | 1.07837 | − | 0.372601i | ||||
\(57\) | −4.82792 | + | 24.2716i | −0.0847003 | + | 0.425817i | ||||
\(58\) | 7.02369 | + | 1.78656i | 0.121098 | + | 0.0308028i | ||||
\(59\) | −3.63315 | − | 11.9769i | −0.0615788 | − | 0.202998i | 0.920753 | − | 0.390146i | \(-0.127576\pi\) |
−0.982332 | + | 0.187148i | \(0.940076\pi\) | |||||||
\(60\) | 12.5979 | + | 23.9878i | 0.209964 | + | 0.399796i | ||||
\(61\) | 31.7513 | − | 38.6890i | 0.520513 | − | 0.634247i | −0.444710 | − | 0.895674i | \(-0.646693\pi\) |
0.965223 | + | 0.261428i | \(0.0841933\pi\) | |||||||
\(62\) | −66.0590 | + | 30.9496i | −1.06547 | + | 0.499187i | ||||
\(63\) | −23.9594 | −0.380308 | ||||||||
\(64\) | −31.3960 | + | 55.7700i | −0.490562 | + | 0.871406i | ||||
\(65\) | − | 64.7346i | − | 0.995916i | ||||||
\(66\) | −25.8520 | + | 12.1120i | −0.391698 | + | 0.183516i | ||||
\(67\) | −57.9126 | − | 47.5277i | −0.864367 | − | 0.709368i | 0.0937955 | − | 0.995591i | \(-0.470100\pi\) |
−0.958163 | + | 0.286223i | \(0.907600\pi\) | |||||||
\(68\) | 4.85299 | − | 15.5883i | 0.0713675 | − | 0.229240i | ||||
\(69\) | 5.32372 | − | 1.61493i | 0.0771553 | − | 0.0234048i | ||||
\(70\) | −60.5387 | − | 15.3988i | −0.864839 | − | 0.219983i | ||||
\(71\) | −47.4221 | − | 9.43283i | −0.667916 | − | 0.132857i | −0.150526 | − | 0.988606i | \(-0.548097\pi\) |
−0.517391 | + | 0.855749i | \(0.673097\pi\) | |||||||
\(72\) | 17.9579 | − | 15.9221i | 0.249416 | − | 0.221140i | ||||
\(73\) | 141.261 | − | 28.0986i | 1.93509 | − | 0.384912i | 0.935592 | − | 0.353082i | \(-0.114866\pi\) |
0.999493 | − | 0.0318301i | \(-0.0101335\pi\) | |||||||
\(74\) | 38.0552 | + | 42.2961i | 0.514259 | + | 0.571569i | ||||
\(75\) | −1.64777 | + | 16.7301i | −0.0219702 | + | 0.223068i | ||||
\(76\) | 55.9701 | + | 11.5578i | 0.736448 | + | 0.152076i | ||||
\(77\) | 19.1062 | − | 62.9847i | 0.248132 | − | 0.817983i | ||||
\(78\) | −55.6728 | + | 13.7299i | −0.713754 | + | 0.176025i | ||||
\(79\) | −53.1703 | + | 128.364i | −0.673041 | + | 1.62487i | 0.103373 | + | 0.994643i | \(0.467036\pi\) |
−0.776415 | + | 0.630223i | \(0.782964\pi\) | |||||||
\(80\) | 55.6079 | − | 28.6891i | 0.695099 | − | 0.358613i | ||||
\(81\) | −8.31492 | + | 3.44415i | −0.102653 | + | 0.0425204i | ||||
\(82\) | 4.63446 | + | 6.29667i | 0.0565178 | + | 0.0767886i | ||||
\(83\) | −44.4674 | − | 83.1926i | −0.535751 | − | 1.00232i | −0.993564 | − | 0.113271i | \(-0.963867\pi\) |
0.457813 | − | 0.889049i | \(-0.348633\pi\) | |||||||
\(84\) | −0.403200 | + | 55.3303i | −0.00480000 | + | 0.658694i | ||||
\(85\) | −12.3389 | + | 10.1262i | −0.145163 | + | 0.119132i | ||||
\(86\) | −52.5319 | − | 148.521i | −0.610836 | − | 1.72698i | ||||
\(87\) | −3.48697 | + | 5.21862i | −0.0400801 | + | 0.0599842i | ||||
\(88\) | 27.5358 | + | 59.9050i | 0.312906 | + | 0.680738i | ||||
\(89\) | −58.4424 | − | 87.4653i | −0.656656 | − | 0.982756i | −0.999066 | − | 0.0432050i | \(-0.986243\pi\) |
0.342410 | − | 0.939551i | \(-0.388757\pi\) | |||||||
\(90\) | −23.2231 | + | 3.35839i | −0.258034 | + | 0.0373154i | ||||
\(91\) | 62.3181 | − | 116.589i | 0.684814 | − | 1.28120i | ||||
\(92\) | −3.63984 | − | 12.3214i | −0.0395634 | − | 0.133929i | ||||
\(93\) | −6.19237 | − | 62.8722i | −0.0665846 | − | 0.676045i | ||||
\(94\) | 5.87701 | + | 129.236i | 0.0625214 | + | 1.37485i | ||||
\(95\) | −39.5104 | − | 39.5104i | −0.415899 | − | 0.415899i | ||||
\(96\) | −36.4673 | − | 41.7389i | −0.379868 | − | 0.434780i | ||||
\(97\) | 27.9377 | + | 27.9377i | 0.288017 | + | 0.288017i | 0.836296 | − | 0.548279i | \(-0.184717\pi\) |
−0.548279 | + | 0.836296i | \(0.684717\pi\) | |||||||
\(98\) | −21.8352 | − | 19.9357i | −0.222808 | − | 0.203425i | ||||
\(99\) | −2.42337 | − | 24.6049i | −0.0244785 | − | 0.248534i | ||||
\(100\) | 38.6077 | + | 4.08680i | 0.386077 | + | 0.0408680i | ||||
\(101\) | −27.1181 | + | 50.7344i | −0.268496 | + | 0.502321i | −0.979649 | − | 0.200716i | \(-0.935673\pi\) |
0.711153 | + | 0.703037i | \(0.248173\pi\) | |||||||
\(102\) | 11.3258 | + | 8.46390i | 0.111037 | + | 0.0829794i | ||||
\(103\) | 4.39721 | + | 6.58089i | 0.0426914 | + | 0.0638922i | 0.852201 | − | 0.523214i | \(-0.175267\pi\) |
−0.809510 | + | 0.587106i | \(0.800267\pi\) | |||||||
\(104\) | 30.7702 | + | 128.798i | 0.295867 | + | 1.23845i | ||||
\(105\) | 30.0550 | − | 44.9805i | 0.286238 | − | 0.428385i | ||||
\(106\) | −88.5118 | − | 42.2583i | −0.835017 | − | 0.398663i | ||||
\(107\) | −117.075 | + | 96.0812i | −1.09416 | + | 0.897955i | −0.995270 | − | 0.0971433i | \(-0.969029\pi\) |
−0.0988909 | + | 0.995098i | \(0.531529\pi\) | |||||||
\(108\) | 7.81379 | + | 19.2599i | 0.0723499 | + | 0.178333i | ||||
\(109\) | −48.3578 | − | 90.4711i | −0.443650 | − | 0.830010i | 0.556350 | − | 0.830948i | \(-0.312201\pi\) |
−1.00000 | 0.000937891i | \(0.999701\pi\) | ||||||||
\(110\) | 9.69047 | − | 63.7272i | 0.0880951 | − | 0.579338i | ||||
\(111\) | −45.5227 | + | 18.8561i | −0.410114 | + | 0.169875i | ||||
\(112\) | 127.770 | + | 1.86225i | 1.14080 | + | 0.0166272i | ||||
\(113\) | −46.6678 | + | 112.666i | −0.412989 | + | 0.997045i | 0.571341 | + | 0.820713i | \(0.306423\pi\) |
−0.984331 | + | 0.176332i | \(0.943577\pi\) | |||||||
\(114\) | −25.5996 | + | 42.3596i | −0.224558 | + | 0.371575i | ||||
\(115\) | −3.64633 | + | 12.0203i | −0.0317072 | + | 0.104525i | ||||
\(116\) | 11.9929 | + | 8.14042i | 0.103387 | + | 0.0701761i | ||||
\(117\) | 4.86740 | − | 49.4195i | 0.0416017 | − | 0.422389i | ||||
\(118\) | 1.31933 | − | 24.9968i | 0.0111808 | − | 0.211838i | ||||
\(119\) | −31.9709 | + | 6.35942i | −0.268663 | + | 0.0534405i | ||||
\(120\) | 7.36485 | + | 53.6865i | 0.0613737 | + | 0.447387i | ||||
\(121\) | −52.0610 | − | 10.3556i | −0.430256 | − | 0.0855832i | ||||
\(122\) | 86.0453 | − | 51.1483i | 0.705289 | − | 0.419249i | ||||
\(123\) | −6.47932 | + | 1.96548i | −0.0526774 | + | 0.0159795i | ||||
\(124\) | −145.297 | + | 13.2422i | −1.17175 | + | 0.106792i | ||||
\(125\) | −104.918 | − | 86.1041i | −0.839345 | − | 0.688833i | ||||
\(126\) | −45.0585 | − | 16.3076i | −0.357607 | − | 0.129426i | ||||
\(127\) | 84.4725i | 0.665138i | 0.943079 | + | 0.332569i | \(0.107915\pi\) | ||||
−0.943079 | + | 0.332569i | \(0.892085\pi\) | |||||||
\(128\) | −97.0030 | + | 83.5130i | −0.757836 | + | 0.652445i | ||||
\(129\) | 136.431 | 1.05761 | ||||||||
\(130\) | 44.0607 | − | 121.741i | 0.338928 | − | 0.936470i | ||||
\(131\) | −147.926 | + | 180.248i | −1.12920 | + | 1.37594i | −0.212119 | + | 0.977244i | \(0.568036\pi\) |
−0.917084 | + | 0.398694i | \(0.869464\pi\) | |||||||
\(132\) | −56.8618 | + | 5.18232i | −0.430771 | + | 0.0392600i | ||||
\(133\) | −33.1239 | − | 109.195i | −0.249052 | − | 0.821014i | ||||
\(134\) | −76.5626 | − | 128.799i | −0.571363 | − | 0.961186i | ||||
\(135\) | 3.96443 | − | 19.9305i | 0.0293661 | − | 0.147633i | ||||
\(136\) | 19.7366 | − | 26.0126i | 0.145122 | − | 0.191269i | ||||
\(137\) | 5.81163 | + | 29.2170i | 0.0424206 | + | 0.213263i | 0.996182 | − | 0.0873024i | \(-0.0278247\pi\) |
−0.953761 | + | 0.300565i | \(0.902825\pi\) | |||||||
\(138\) | 11.1111 | + | 0.586440i | 0.0805150 | + | 0.00424957i | ||||
\(139\) | 119.408 | + | 11.7606i | 0.859048 | + | 0.0846089i | 0.517942 | − | 0.855416i | \(-0.326698\pi\) |
0.341106 | + | 0.940025i | \(0.389198\pi\) | |||||||
\(140\) | −103.369 | − | 70.1641i | −0.738353 | − | 0.501172i | ||||
\(141\) | −107.213 | − | 32.5226i | −0.760373 | − | 0.230657i | ||||
\(142\) | −82.7626 | − | 50.0168i | −0.582835 | − | 0.352231i | ||||
\(143\) | 126.033 | + | 52.2046i | 0.881351 | + | 0.365067i | ||||
\(144\) | 44.6092 | − | 17.7206i | 0.309786 | − | 0.123060i | ||||
\(145\) | −5.42315 | − | 13.0926i | −0.0374010 | − | 0.0902940i | ||||
\(146\) | 284.784 | + | 43.3047i | 1.95057 | + | 0.296608i | ||||
\(147\) | 22.5823 | − | 12.0705i | 0.153621 | − | 0.0821121i | ||||
\(148\) | 42.7791 | + | 105.445i | 0.289048 | + | 0.712463i | ||||
\(149\) | 87.3347 | + | 106.418i | 0.586139 | + | 0.714213i | 0.978650 | − | 0.205535i | \(-0.0658934\pi\) |
−0.392511 | + | 0.919747i | \(0.628393\pi\) | |||||||
\(150\) | −14.4859 | + | 30.3414i | −0.0965728 | + | 0.202276i | ||||
\(151\) | 23.6846 | + | 15.8256i | 0.156852 | + | 0.104805i | 0.631519 | − | 0.775360i | \(-0.282432\pi\) |
−0.474667 | + | 0.880165i | \(0.657432\pi\) | |||||||
\(152\) | 97.3918 | + | 59.8310i | 0.640736 | + | 0.393625i | ||||
\(153\) | −10.1811 | + | 6.80280i | −0.0665432 | + | 0.0444627i | ||||
\(154\) | 78.8012 | − | 105.446i | 0.511696 | − | 0.684714i | ||||
\(155\) | 125.802 | + | 67.2424i | 0.811624 | + | 0.433822i | ||||
\(156\) | −114.045 | − | 12.0721i | −0.731055 | − | 0.0773854i | ||||
\(157\) | 181.823 | − | 17.9080i | 1.15811 | − | 0.114064i | 0.499337 | − | 0.866408i | \(-0.333577\pi\) |
0.658770 | + | 0.752344i | \(0.271077\pi\) | |||||||
\(158\) | −187.363 | + | 205.215i | −1.18584 | + | 1.29883i | ||||
\(159\) | 60.0628 | − | 60.0628i | 0.377753 | − | 0.377753i | ||||
\(160\) | 124.104 | − | 16.1045i | 0.775651 | − | 0.100653i | ||||
\(161\) | −18.1388 | + | 18.1388i | −0.112663 | + | 0.112663i | ||||
\(162\) | −17.9814 | + | 0.817708i | −0.110996 | + | 0.00504758i | ||||
\(163\) | 4.53510 | − | 0.446668i | 0.0278227 | − | 0.00274030i | −0.0840962 | − | 0.996458i | \(-0.526800\pi\) |
0.111919 | + | 0.993717i | \(0.464300\pi\) | |||||||
\(164\) | 4.42992 | + | 14.9960i | 0.0270117 | + | 0.0914392i | ||||
\(165\) | 49.2322 | + | 26.3152i | 0.298377 | + | 0.159486i | ||||
\(166\) | −27.0023 | − | 186.720i | −0.162665 | − | 1.12482i | ||||
\(167\) | −130.851 | + | 87.4318i | −0.783538 | + | 0.523544i | −0.881804 | − | 0.471617i | \(-0.843671\pi\) |
0.0982654 | + | 0.995160i | \(0.468671\pi\) | |||||||
\(168\) | −38.4181 | + | 103.781i | −0.228679 | + | 0.617744i | ||||
\(169\) | 87.3024 | + | 58.3336i | 0.516582 | + | 0.345169i | ||||
\(170\) | −30.0970 | + | 10.6454i | −0.177041 | + | 0.0626197i | ||||
\(171\) | −27.1921 | − | 33.1337i | −0.159018 | − | 0.193764i | ||||
\(172\) | 2.29593 | − | 315.066i | 0.0133484 | − | 1.83178i | ||||
\(173\) | −45.8304 | + | 24.4968i | −0.264915 | + | 0.141600i | −0.598507 | − | 0.801117i | \(-0.704239\pi\) |
0.333592 | + | 0.942718i | \(0.391739\pi\) | |||||||
\(174\) | −10.1097 | + | 7.44089i | −0.0581015 | + | 0.0427637i | ||||
\(175\) | −29.6638 | − | 71.6148i | −0.169508 | − | 0.409228i | ||||
\(176\) | 11.0108 | + | 131.400i | 0.0625615 | + | 0.746593i | ||||
\(177\) | 20.0279 | + | 8.29583i | 0.113152 | + | 0.0468691i | ||||
\(178\) | −50.3760 | − | 204.267i | −0.283011 | − | 1.14757i | ||||
\(179\) | 96.8221 | + | 29.3707i | 0.540905 | + | 0.164082i | 0.548903 | − | 0.835886i | \(-0.315046\pi\) |
−0.00799743 | + | 0.999968i | \(0.502546\pi\) | |||||||
\(180\) | −45.9596 | − | 9.49061i | −0.255331 | − | 0.0527256i | ||||
\(181\) | −2.79835 | − | 0.275613i | −0.0154605 | − | 0.00152272i | 0.0902839 | − | 0.995916i | \(-0.471223\pi\) |
−0.105744 | + | 0.994393i | \(0.533723\pi\) | |||||||
\(182\) | 196.551 | − | 176.844i | 1.07995 | − | 0.971669i | ||||
\(183\) | 16.9122 | + | 85.0232i | 0.0924162 | + | 0.464607i | ||||
\(184\) | 1.54127 | − | 25.6494i | 0.00837648 | − | 0.139399i | ||||
\(185\) | 21.7045 | − | 109.116i | 0.117322 | − | 0.589816i | ||||
\(186\) | 31.1476 | − | 122.453i | 0.167460 | − | 0.658352i | ||||
\(187\) | −9.76444 | − | 32.1891i | −0.0522163 | − | 0.172134i | ||||
\(188\) | −76.9100 | + | 247.043i | −0.409096 | + | 1.31406i | ||||
\(189\) | 26.3266 | − | 32.0790i | 0.139294 | − | 0.169730i | ||||
\(190\) | −47.4118 | − | 101.196i | −0.249536 | − | 0.532612i | ||||
\(191\) | −279.407 | −1.46287 | −0.731433 | − | 0.681914i | \(-0.761148\pi\) | ||||
−0.731433 | + | 0.681914i | \(0.761148\pi\) | |||||||
\(192\) | −40.1721 | − | 103.316i | −0.209230 | − | 0.538104i | ||||
\(193\) | 53.4041i | 0.276705i | 0.990383 | + | 0.138353i | \(0.0441807\pi\) | ||||
−0.990383 | + | 0.138353i | \(0.955819\pi\) | |||||||
\(194\) | 33.5248 | + | 71.5555i | 0.172808 | + | 0.368843i | ||||
\(195\) | 86.6727 | + | 71.1304i | 0.444475 | + | 0.364771i | ||||
\(196\) | −27.4948 | − | 52.3533i | −0.140280 | − | 0.267109i | ||||
\(197\) | −162.589 | + | 49.3208i | −0.825324 | + | 0.250359i | −0.674569 | − | 0.738212i | \(-0.735670\pi\) |
−0.150755 | + | 0.988571i | \(0.548170\pi\) | |||||||
\(198\) | 12.1895 | − | 47.9218i | 0.0615633 | − | 0.242030i | ||||
\(199\) | 161.629 | + | 32.1500i | 0.812205 | + | 0.161558i | 0.583683 | − | 0.811981i | \(-0.301611\pi\) |
0.228521 | + | 0.973539i | \(0.426611\pi\) | |||||||
\(200\) | 69.8248 | + | 33.9635i | 0.349124 | + | 0.169818i | ||||
\(201\) | 127.269 | − | 25.3154i | 0.633179 | − | 0.125947i | ||||
\(202\) | −85.5306 | + | 76.9546i | −0.423419 | + | 0.380963i | ||||
\(203\) | 2.83665 | − | 28.8009i | 0.0139736 | − | 0.141877i | ||||
\(204\) | 15.5386 | + | 23.6261i | 0.0761698 | + | 0.115814i | ||||
\(205\) | 4.43783 | − | 14.6296i | 0.0216480 | − | 0.0713638i | ||||
\(206\) | 3.79029 | + | 15.3691i | 0.0183995 | + | 0.0746071i | ||||
\(207\) | −3.68749 | + | 8.90238i | −0.0178139 | + | 0.0430066i | ||||
\(208\) | −29.7978 | + | 263.164i | −0.143259 | + | 1.26521i | ||||
\(209\) | 108.786 | − | 45.0608i | 0.520509 | − | 0.215602i | ||||
\(210\) | 87.1374 | − | 64.1347i | 0.414940 | − | 0.305403i | ||||
\(211\) | −13.0501 | − | 24.4151i | −0.0618490 | − | 0.115711i | 0.849097 | − | 0.528237i | \(-0.177147\pi\) |
−0.910946 | + | 0.412526i | \(0.864647\pi\) | |||||||
\(212\) | −137.695 | − | 139.716i | −0.649503 | − | 0.659038i | ||||
\(213\) | 64.7370 | − | 53.1283i | 0.303930 | − | 0.249428i | ||||
\(214\) | −285.570 | + | 101.007i | −1.33444 | + | 0.471993i | ||||
\(215\) | −171.141 | + | 256.131i | −0.796006 | + | 1.19131i | ||||
\(216\) | 1.58577 | + | 41.5390i | 0.00734151 | + | 0.192310i | ||||
\(217\) | 161.840 | + | 242.211i | 0.745809 | + | 1.11618i | ||||
\(218\) | −29.3648 | − | 203.056i | −0.134701 | − | 0.931449i | ||||
\(219\) | −117.597 | + | 220.009i | −0.536973 | + | 1.00461i | ||||
\(220\) | 61.5991 | − | 113.251i | 0.279996 | − | 0.514777i | ||||
\(221\) | −6.62221 | − | 67.2364i | −0.0299647 | − | 0.304237i | ||||
\(222\) | −98.4450 | + | 4.47680i | −0.443446 | + | 0.0201658i | ||||
\(223\) | −173.599 | − | 173.599i | −0.778471 | − | 0.778471i | 0.201100 | − | 0.979571i | \(-0.435548\pi\) |
−0.979571 | + | 0.201100i | \(0.935548\pi\) | |||||||
\(224\) | 239.019 | + | 90.4669i | 1.06705 | + | 0.403870i | ||||
\(225\) | −20.5892 | − | 20.5892i | −0.0915076 | − | 0.0915076i | ||||
\(226\) | −164.449 | + | 180.118i | −0.727651 | + | 0.796984i | ||||
\(227\) | −13.3267 | − | 135.308i | −0.0587080 | − | 0.596072i | −0.978863 | − | 0.204518i | \(-0.934437\pi\) |
0.920155 | − | 0.391555i | \(-0.128063\pi\) | |||||||
\(228\) | −76.9746 | + | 62.2383i | −0.337608 | + | 0.272975i | ||||
\(229\) | 9.47993 | − | 17.7357i | 0.0413971 | − | 0.0774485i | −0.860372 | − | 0.509666i | \(-0.829769\pi\) |
0.901769 | + | 0.432218i | \(0.142269\pi\) | |||||||
\(230\) | −15.0389 | + | 20.1239i | −0.0653863 | + | 0.0874952i | ||||
\(231\) | 63.3359 | + | 94.7888i | 0.274181 | + | 0.410341i | ||||
\(232\) | 17.0134 | + | 23.4718i | 0.0733337 | + | 0.101172i | ||||
\(233\) | 38.0303 | − | 56.9163i | 0.163220 | − | 0.244276i | −0.740840 | − | 0.671682i | \(-0.765572\pi\) |
0.904060 | + | 0.427406i | \(0.140572\pi\) | |||||||
\(234\) | 42.7904 | − | 89.6264i | 0.182865 | − | 0.383019i | ||||
\(235\) | 195.546 | − | 160.480i | 0.832110 | − | 0.682895i | ||||
\(236\) | 19.4949 | − | 46.1116i | 0.0826056 | − | 0.195388i | ||||
\(237\) | −113.443 | − | 212.236i | −0.478661 | − | 0.895512i | ||||
\(238\) | −64.4537 | − | 9.80093i | −0.270814 | − | 0.0411804i | ||||
\(239\) | −376.400 | + | 155.910i | −1.57490 | + | 0.652343i | −0.987595 | − | 0.157025i | \(-0.949810\pi\) |
−0.587301 | + | 0.809369i | \(0.699810\pi\) | |||||||
\(240\) | −22.6905 | + | 105.977i | −0.0945436 | + | 0.441569i | ||||
\(241\) | −101.347 | + | 244.674i | −0.420529 | + | 1.01525i | 0.561663 | + | 0.827366i | \(0.310162\pi\) |
−0.982192 | + | 0.187881i | \(0.939838\pi\) | |||||||
\(242\) | −90.8585 | − | 54.9095i | −0.375449 | − | 0.226899i | ||||
\(243\) | 4.52509 | − | 14.9172i | 0.0186218 | − | 0.0613878i | ||||
\(244\) | 196.632 | − | 37.6251i | 0.805869 | − | 0.154201i | ||||
\(245\) | −5.66686 | + | 57.5366i | −0.0231300 | + | 0.234843i | ||||
\(246\) | −13.5229 | − | 0.713737i | −0.0549712 | − | 0.00290137i | ||||
\(247\) | 231.959 | − | 46.1395i | 0.939104 | − | 0.186799i | ||||
\(248\) | −282.262 | − | 73.9910i | −1.13815 | − | 0.298351i | ||||
\(249\) | 160.247 | + | 31.8751i | 0.643561 | + | 0.128012i | ||||
\(250\) | −138.706 | − | 233.340i | −0.554823 | − | 0.933361i | ||||
\(251\) | 167.440 | − | 50.7922i | 0.667090 | − | 0.202359i | 0.0614643 | − | 0.998109i | \(-0.480423\pi\) |
0.605626 | + | 0.795750i | \(0.292923\pi\) | |||||||
\(252\) | −73.6384 | − | 61.3369i | −0.292216 | − | 0.243400i | ||||
\(253\) | −20.4621 | − | 16.7928i | −0.0808780 | − | 0.0663748i | ||||
\(254\) | −57.4951 | + | 158.861i | −0.226359 | + | 0.625436i | ||||
\(255\) | − | 27.6472i | − | 0.108420i | ||||||
\(256\) | −239.268 | + | 91.0324i | −0.934640 | + | 0.355595i | ||||
\(257\) | 131.689 | 0.512410 | 0.256205 | − | 0.966622i | \(-0.417528\pi\) | ||||
0.256205 | + | 0.966622i | \(0.417528\pi\) | |||||||
\(258\) | 256.575 | + | 92.8600i | 0.994478 | + | 0.359923i | ||||
\(259\) | 144.133 | − | 175.627i | 0.556499 | − | 0.678096i | ||||
\(260\) | 165.723 | − | 198.960i | 0.637396 | − | 0.765229i | ||||
\(261\) | −3.15569 | − | 10.4029i | −0.0120908 | − | 0.0398579i | ||||
\(262\) | −400.875 | + | 238.294i | −1.53006 | + | 0.909520i | ||||
\(263\) | 11.0913 | − | 55.7600i | 0.0421724 | − | 0.212015i | −0.953953 | − | 0.299955i | \(-0.903028\pi\) |
0.996126 | + | 0.0879399i | \(0.0280283\pi\) | |||||||
\(264\) | −110.463 | − | 28.9562i | −0.418419 | − | 0.109683i | ||||
\(265\) | 37.4161 | + | 188.103i | 0.141193 | + | 0.709824i | ||||
\(266\) | 12.0285 | − | 227.900i | 0.0452199 | − | 0.856765i | ||||
\(267\) | 181.323 | + | 17.8588i | 0.679113 | + | 0.0668868i | ||||
\(268\) | −56.3200 | − | 294.333i | −0.210149 | − | 1.09826i | ||||
\(269\) | 224.909 | + | 68.2253i | 0.836092 | + | 0.253626i | 0.679166 | − | 0.733985i | \(-0.262342\pi\) |
0.156926 | + | 0.987610i | \(0.449842\pi\) | |||||||
\(270\) | 21.0210 | − | 34.7834i | 0.0778556 | − | 0.128827i | ||||
\(271\) | 92.6686 | + | 38.3846i | 0.341951 | + | 0.141641i | 0.547049 | − | 0.837101i | \(-0.315751\pi\) |
−0.205098 | + | 0.978741i | \(0.565751\pi\) | |||||||
\(272\) | 54.8222 | − | 35.4864i | 0.201552 | − | 0.130465i | ||||
\(273\) | 87.6250 | + | 211.545i | 0.320971 | + | 0.774892i | ||||
\(274\) | −8.95670 | + | 58.9017i | −0.0326887 | + | 0.214970i | ||||
\(275\) | 70.5439 | − | 37.7065i | 0.256523 | − | 0.137114i | ||||
\(276\) | 20.4966 | + | 8.66547i | 0.0742629 | + | 0.0313966i | ||||
\(277\) | 226.005 | + | 275.388i | 0.815902 | + | 0.994179i | 0.999937 | + | 0.0112597i | \(0.00358414\pi\) |
−0.184035 | + | 0.982920i | \(0.558916\pi\) | |||||||
\(278\) | 216.556 | + | 103.391i | 0.778978 | + | 0.371908i | ||||
\(279\) | 90.9833 | + | 60.7931i | 0.326105 | + | 0.217896i | ||||
\(280\) | −146.642 | − | 202.309i | −0.523723 | − | 0.722532i | ||||
\(281\) | 84.7279 | − | 56.6134i | 0.301523 | − | 0.201471i | −0.395600 | − | 0.918423i | \(-0.629463\pi\) |
0.697123 | + | 0.716952i | \(0.254463\pi\) | |||||||
\(282\) | −179.490 | − | 134.135i | −0.636490 | − | 0.475658i | ||||
\(283\) | −37.0756 | − | 19.8173i | −0.131009 | − | 0.0700259i | 0.404590 | − | 0.914498i | \(-0.367414\pi\) |
−0.535599 | + | 0.844472i | \(0.679914\pi\) | |||||||
\(284\) | −121.602 | − | 150.394i | −0.428175 | − | 0.529555i | ||||
\(285\) | 96.3142 | − | 9.48612i | 0.337945 | − | 0.0332846i | ||||
\(286\) | 201.488 | + | 183.960i | 0.704504 | + | 0.643216i | ||||
\(287\) | 22.0761 | − | 22.0761i | 0.0769204 | − | 0.0769204i | ||||
\(288\) | 95.9543 | − | 2.96304i | 0.333175 | − | 0.0102883i | ||||
\(289\) | 192.574 | − | 192.574i | 0.666346 | − | 0.666346i | ||||
\(290\) | −1.28756 | − | 28.3135i | −0.00443986 | − | 0.0976326i | ||||
\(291\) | −68.1035 | + | 6.70761i | −0.234033 | + | 0.0230502i | ||||
\(292\) | 506.095 | + | 275.274i | 1.73320 | + | 0.942719i | ||||
\(293\) | 87.6280 | + | 46.8381i | 0.299072 | + | 0.159857i | 0.614107 | − | 0.789223i | \(-0.289516\pi\) |
−0.315035 | + | 0.949080i | \(0.602016\pi\) | |||||||
\(294\) | 50.6843 | − | 7.32968i | 0.172396 | − | 0.0249309i | ||||
\(295\) | −40.6976 | + | 27.1932i | −0.137958 | + | 0.0921805i | ||||
\(296\) | 8.68178 | + | 227.418i | 0.0293303 | + | 0.768305i | ||||
\(297\) | 35.6061 | + | 23.7912i | 0.119886 | + | 0.0801051i | ||||
\(298\) | 91.8118 | + | 259.574i | 0.308093 | + | 0.871055i | ||||
\(299\) | −33.7288 | − | 41.0987i | −0.112805 | − | 0.137454i | ||||
\(300\) | −47.8940 | + | 47.2010i | −0.159647 | + | 0.157337i | ||||
\(301\) | −554.801 | + | 296.547i | −1.84319 | + | 0.985207i | ||||
\(302\) | 33.7703 | + | 45.8825i | 0.111822 | + | 0.151929i | ||||
\(303\) | −38.1306 | − | 92.0553i | −0.125843 | − | 0.303813i | ||||
\(304\) | 142.434 | + | 178.808i | 0.468533 | + | 0.588184i | ||||
\(305\) | −180.834 | − | 74.9040i | −0.592899 | − | 0.245587i | ||||
\(306\) | −23.7770 | + | 5.86385i | −0.0777027 | + | 0.0191629i | ||||
\(307\) | 328.388 | + | 99.6154i | 1.06967 | + | 0.324480i | 0.775548 | − | 0.631288i | \(-0.217474\pi\) |
0.294120 | + | 0.955769i | \(0.404974\pi\) | |||||||
\(308\) | 219.965 | − | 144.669i | 0.714174 | − | 0.469704i | ||||
\(309\) | −13.6428 | − | 1.34370i | −0.0441514 | − | 0.00434853i | ||||
\(310\) | 190.818 | + | 212.083i | 0.615541 | + | 0.684138i | ||||
\(311\) | 92.4512 | + | 464.783i | 0.297271 | + | 1.49448i | 0.783908 | + | 0.620877i | \(0.213223\pi\) |
−0.486638 | + | 0.873604i | \(0.661777\pi\) | |||||||
\(312\) | −206.258 | − | 100.326i | −0.661083 | − | 0.321557i | ||||
\(313\) | −117.223 | + | 589.320i | −0.374515 | + | 1.88281i | 0.0878674 | + | 0.996132i | \(0.471995\pi\) |
−0.462382 | + | 0.886681i | \(0.653005\pi\) | |||||||
\(314\) | 354.129 | + | 90.0771i | 1.12780 | + | 0.286870i | ||||
\(315\) | 27.1996 | + | 89.6650i | 0.0863479 | + | 0.284651i | ||||
\(316\) | −492.035 | + | 258.406i | −1.55707 | + | 0.817740i | ||||
\(317\) | 79.7618 | − | 97.1901i | 0.251615 | − | 0.306593i | −0.631850 | − | 0.775090i | \(-0.717704\pi\) |
0.883465 | + | 0.468497i | \(0.155204\pi\) | |||||||
\(318\) | 153.836 | − | 72.0744i | 0.483761 | − | 0.226649i | ||||
\(319\) | 29.8638 | 0.0936169 | ||||||||
\(320\) | 244.354 | + | 54.1834i | 0.763607 | + | 0.169323i | ||||
\(321\) | − | 262.325i | − | 0.817213i | ||||||
\(322\) | −46.4581 | + | 21.7663i | −0.144280 | + | 0.0675971i | ||||
\(323\) | −45.0792 | − | 36.9955i | −0.139564 | − | 0.114537i | ||||
\(324\) | −34.3728 | − | 10.7010i | −0.106089 | − | 0.0330278i | ||||
\(325\) | 153.742 | − | 46.6370i | 0.473051 | − | 0.143499i | ||||
\(326\) | 8.83282 | + | 2.24674i | 0.0270945 | + | 0.00689184i | ||||
\(327\) | 174.267 | + | 34.6638i | 0.532926 | + | 0.106006i | ||||
\(328\) | −1.87583 | + | 31.2170i | −0.00571900 | + | 0.0951738i | ||||
\(329\) | 506.674 | − | 100.784i | 1.54004 | − | 0.306334i | ||||
\(330\) | 74.6760 | + | 82.9980i | 0.226291 | + | 0.251509i | ||||
\(331\) | 56.3303 | − | 571.931i | 0.170182 | − | 1.72789i | −0.408865 | − | 0.912595i | \(-0.634075\pi\) |
0.579047 | − | 0.815294i | \(-0.303425\pi\) | |||||||
\(332\) | 76.3071 | − | 369.528i | 0.229841 | − | 1.11304i | ||||
\(333\) | 24.7740 | − | 81.6691i | 0.0743965 | − | 0.245253i | ||||
\(334\) | −305.590 | + | 75.3641i | −0.914941 | + | 0.225641i | ||||
\(335\) | −112.122 | + | 270.686i | −0.334692 | + | 0.808018i | ||||
\(336\) | −142.887 | + | 169.024i | −0.425259 | + | 0.503047i | ||||
\(337\) | 397.923 | − | 164.825i | 1.18078 | − | 0.489096i | 0.296039 | − | 0.955176i | \(-0.404334\pi\) |
0.884743 | + | 0.466080i | \(0.154334\pi\) | |||||||
\(338\) | 124.479 | + | 169.125i | 0.368280 | + | 0.500368i | ||||
\(339\) | −99.5692 | − | 186.281i | −0.293714 | − | 0.549501i | ||||
\(340\) | −63.8467 | − | 0.465260i | −0.187784 | − | 0.00136841i | ||||
\(341\) | −232.367 | + | 190.699i | −0.681430 | + | 0.559235i | ||||
\(342\) | −28.5861 | − | 80.8199i | −0.0835850 | − | 0.236315i | ||||
\(343\) | 151.820 | − | 227.215i | 0.442624 | − | 0.662433i | ||||
\(344\) | 218.763 | − | 590.957i | 0.635939 | − | 1.71790i | ||||
\(345\) | −12.0874 | − | 18.0900i | −0.0350358 | − | 0.0524348i | ||||
\(346\) | −102.863 | + | 14.8755i | −0.297292 | + | 0.0429926i | ||||
\(347\) | 300.164 | − | 561.568i | 0.865026 | − | 1.61835i | 0.0817705 | − | 0.996651i | \(-0.473943\pi\) |
0.783256 | − | 0.621699i | \(-0.213557\pi\) | |||||||
\(348\) | −24.0770 | + | 7.11249i | −0.0691867 | + | 0.0204382i | ||||
\(349\) | −53.5705 | − | 543.910i | −0.153497 | − | 1.55848i | −0.695761 | − | 0.718273i | \(-0.744933\pi\) |
0.542264 | − | 0.840208i | \(-0.317567\pi\) | |||||||
\(350\) | −7.04277 | − | 154.871i | −0.0201222 | − | 0.442487i | ||||
\(351\) | 60.8191 | + | 60.8191i | 0.173274 | + | 0.173274i | ||||
\(352\) | −68.7286 | + | 254.609i | −0.195252 | + | 0.723320i | ||||
\(353\) | 30.6743 | + | 30.6743i | 0.0868960 | + | 0.0868960i | 0.749219 | − | 0.662323i | \(-0.230429\pi\) |
−0.662323 | + | 0.749219i | \(0.730429\pi\) | |||||||
\(354\) | 32.0184 | + | 29.2330i | 0.0904476 | + | 0.0825791i | ||||
\(355\) | 18.5341 | + | 188.180i | 0.0522087 | + | 0.530084i | ||||
\(356\) | 44.2934 | − | 418.436i | 0.124420 | − | 1.17538i | ||||
\(357\) | 26.6151 | − | 49.7934i | 0.0745522 | − | 0.139477i | ||||
\(358\) | 162.095 | + | 121.136i | 0.452779 | + | 0.338368i | ||||
\(359\) | −101.301 | − | 151.608i | −0.282176 | − | 0.422307i | 0.663123 | − | 0.748510i | \(-0.269231\pi\) |
−0.945300 | + | 0.326203i | \(0.894231\pi\) | |||||||
\(360\) | −79.9730 | − | 49.1300i | −0.222147 | − | 0.136472i | ||||
\(361\) | −87.1472 | + | 130.425i | −0.241405 | + | 0.361288i | ||||
\(362\) | −5.07504 | − | 2.42298i | −0.0140194 | − | 0.00669332i | ||||
\(363\) | 71.0697 | − | 58.3254i | 0.195784 | − | 0.160676i | ||||
\(364\) | 490.005 | − | 198.796i | 1.34617 | − | 0.546142i | ||||
\(365\) | −265.521 | − | 496.754i | −0.727454 | − | 1.36097i | ||||
\(366\) | −26.0645 | + | 171.407i | −0.0712145 | + | 0.468326i | ||||
\(367\) | −229.240 | + | 94.9541i | −0.624631 | + | 0.258731i | −0.672470 | − | 0.740124i | \(-0.734767\pi\) |
0.0478390 | + | 0.998855i | \(0.484767\pi\) | |||||||
\(368\) | 20.3564 | − | 47.1877i | 0.0553164 | − | 0.128227i | ||||
\(369\) | 4.48792 | − | 10.8348i | 0.0121624 | − | 0.0293626i | ||||
\(370\) | 115.086 | − | 190.433i | 0.311044 | − | 0.514683i | ||||
\(371\) | −113.694 | + | 374.799i | −0.306453 | + | 1.01024i | ||||
\(372\) | 141.923 | − | 209.088i | 0.381513 | − | 0.562065i | ||||
\(373\) | −40.2874 | + | 409.045i | −0.108009 | + | 1.09664i | 0.776501 | + | 0.630116i | \(0.216992\pi\) |
−0.884511 | + | 0.466520i | \(0.845508\pi\) | |||||||
\(374\) | 3.54582 | − | 67.1814i | 0.00948081 | − | 0.179629i | ||||
\(375\) | 230.568 | − | 45.8629i | 0.614849 | − | 0.122301i | ||||
\(376\) | −312.785 | + | 412.247i | −0.831875 | + | 1.09640i | ||||
\(377\) | 58.8297 | + | 11.7019i | 0.156047 | + | 0.0310396i | ||||
\(378\) | 71.3445 | − | 42.4097i | 0.188742 | − | 0.112195i | ||||
\(379\) | −594.806 | + | 180.432i | −1.56941 | + | 0.476075i | −0.950847 | − | 0.309661i | \(-0.899785\pi\) |
−0.618562 | + | 0.785736i | \(0.712285\pi\) | |||||||
\(380\) | −20.2859 | − | 222.582i | −0.0533838 | − | 0.585742i | ||||
\(381\) | −113.100 | − | 92.8186i | −0.296850 | − | 0.243618i | ||||
\(382\) | −525.459 | − | 190.175i | −1.37555 | − | 0.497840i | ||||
\(383\) | − | 73.0058i | − | 0.190616i | −0.995448 | − | 0.0953078i | \(-0.969616\pi\) | ||
0.995448 | − | 0.0953078i | \(-0.0303835\pi\) | |||||||
\(384\) | −5.22789 | − | 221.641i | −0.0136143 | − | 0.577190i | ||||
\(385\) | −257.403 | −0.668578 | ||||||||
\(386\) | −36.3488 | + | 100.433i | −0.0941678 | + | 0.260189i | ||||
\(387\) | −149.911 | + | 182.667i | −0.387366 | + | 0.472007i | ||||
\(388\) | 14.3441 | + | 157.387i | 0.0369692 | + | 0.405636i | ||||
\(389\) | −22.4781 | − | 74.1004i | −0.0577843 | − | 0.190489i | 0.923297 | − | 0.384088i | \(-0.125484\pi\) |
−0.981081 | + | 0.193599i | \(0.937984\pi\) | |||||||
\(390\) | 114.584 | + | 192.762i | 0.293806 | + | 0.494261i | ||||
\(391\) | −2.55760 | + | 12.8579i | −0.00654117 | + | 0.0328847i | ||||
\(392\) | −16.0738 | − | 117.171i | −0.0410045 | − | 0.298905i | ||||
\(393\) | −78.7918 | − | 396.113i | −0.200488 | − | 1.00792i | ||||
\(394\) | −339.337 | − | 17.9102i | −0.861263 | − | 0.0454573i | ||||
\(395\) | 540.749 | + | 53.2591i | 1.36898 | + | 0.134833i | ||||
\(396\) | 55.5412 | − | 81.8262i | 0.140256 | − | 0.206632i | ||||
\(397\) | −39.1927 | − | 11.8890i | −0.0987221 | − | 0.0299470i | 0.240537 | − | 0.970640i | \(-0.422676\pi\) |
−0.339259 | + | 0.940693i | \(0.610176\pi\) | |||||||
\(398\) | 282.080 | + | 170.472i | 0.708744 | + | 0.428322i | ||||
\(399\) | 182.597 | + | 75.6341i | 0.457636 | + | 0.189559i | ||||
\(400\) | 108.197 | + | 111.398i | 0.270493 | + | 0.278494i | ||||
\(401\) | 18.2876 | + | 44.1501i | 0.0456049 | + | 0.110100i | 0.945040 | − | 0.326954i | \(-0.106022\pi\) |
−0.899436 | + | 0.437053i | \(0.856022\pi\) | |||||||
\(402\) | 256.575 | + | 39.0153i | 0.638247 | + | 0.0970529i | ||||
\(403\) | −532.473 | + | 284.613i | −1.32127 | + | 0.706235i | ||||
\(404\) | −213.229 | + | 86.5072i | −0.527794 | + | 0.214127i | ||||
\(405\) | 22.3287 | + | 27.2076i | 0.0551326 | + | 0.0671793i | ||||
\(406\) | 24.9376 | − | 52.2329i | 0.0614227 | − | 0.128653i | ||||
\(407\) | 194.937 | + | 130.253i | 0.478960 | + | 0.320031i | ||||
\(408\) | 13.1415 | + | 55.0079i | 0.0322095 | + | 0.134823i | ||||
\(409\) | 113.905 | − | 76.1086i | 0.278495 | − | 0.186085i | −0.408476 | − | 0.912769i | \(-0.633940\pi\) |
0.686972 | + | 0.726684i | \(0.258940\pi\) | |||||||
\(410\) | 18.3033 | − | 24.4921i | 0.0446422 | − | 0.0597369i | ||||
\(411\) | −45.5043 | − | 24.3226i | −0.110716 | − | 0.0591790i | ||||
\(412\) | −3.33264 | + | 31.4832i | −0.00808893 | + | 0.0764155i | ||||
\(413\) | −99.4758 | + | 9.79751i | −0.240861 | + | 0.0237228i | ||||
\(414\) | −12.9940 | + | 14.2322i | −0.0313866 | + | 0.0343772i | ||||
\(415\) | −260.857 | + | 260.857i | −0.628571 | + | 0.628571i | ||||
\(416\) | −235.158 | + | 474.631i | −0.565283 | + | 1.14094i | ||||
\(417\) | −146.952 | + | 146.952i | −0.352402 | + | 0.352402i | ||||
\(418\) | 235.256 | − | 10.6983i | 0.562813 | − | 0.0255940i | ||||
\(419\) | 337.617 | − | 33.2524i | 0.805769 | − | 0.0793613i | 0.313258 | − | 0.949668i | \(-0.398579\pi\) |
0.492510 | + | 0.870307i | \(0.336079\pi\) | |||||||
\(420\) | 207.525 | − | 61.3042i | 0.494106 | − | 0.145962i | ||||
\(421\) | −605.282 | − | 323.530i | −1.43773 | − | 0.768480i | −0.445779 | − | 0.895143i | \(-0.647073\pi\) |
−0.991946 | + | 0.126663i | \(0.959573\pi\) | |||||||
\(422\) | −7.92457 | − | 54.7979i | −0.0187786 | − | 0.129853i | ||||
\(423\) | 161.350 | − | 107.810i | 0.381441 | − | 0.254871i | ||||
\(424\) | −163.855 | − | 356.473i | −0.386451 | − | 0.840738i | ||||
\(425\) | −32.9388 | − | 22.0090i | −0.0775029 | − | 0.0517858i | ||||
\(426\) | 157.907 | − | 55.8518i | 0.370673 | − | 0.131107i | ||||
\(427\) | −253.580 | − | 308.988i | −0.593865 | − | 0.723626i | ||||
\(428\) | −605.799 | − | 4.41454i | −1.41542 | − | 0.0103143i | ||||
\(429\) | −208.382 | + | 111.382i | −0.485739 | + | 0.259633i | ||||
\(430\) | −496.184 | + | 365.200i | −1.15392 | + | 0.849303i | ||||
\(431\) | 102.778 | + | 248.129i | 0.238465 | + | 0.575705i | 0.997124 | − | 0.0757825i | \(-0.0241455\pi\) |
−0.758660 | + | 0.651487i | \(0.774145\pi\) | |||||||
\(432\) | −25.2907 | + | 79.1984i | −0.0585433 | + | 0.183330i | ||||
\(433\) | −618.805 | − | 256.317i | −1.42911 | − | 0.591957i | −0.471979 | − | 0.881610i | \(-0.656460\pi\) |
−0.957132 | + | 0.289653i | \(0.906460\pi\) | |||||||
\(434\) | 139.503 | + | 565.662i | 0.321435 | + | 1.30337i | ||||
\(435\) | 23.4886 | + | 7.12519i | 0.0539968 | + | 0.0163797i | ||||
\(436\) | 82.9832 | − | 401.858i | 0.190328 | − | 0.921693i | ||||
\(437\) | −45.6706 | − | 4.49816i | −0.104509 | − | 0.0102933i | ||||
\(438\) | −370.901 | + | 333.712i | −0.846806 | + | 0.761899i | ||||
\(439\) | 48.4887 | + | 243.769i | 0.110453 | + | 0.555283i | 0.995894 | + | 0.0905313i | \(0.0288565\pi\) |
−0.885441 | + | 0.464752i | \(0.846143\pi\) | |||||||
\(440\) | 192.927 | − | 171.056i | 0.438471 | − | 0.388763i | ||||
\(441\) | −8.65236 | + | 43.4983i | −0.0196199 | + | 0.0986357i | ||||
\(442\) | 33.3097 | − | 130.953i | 0.0753613 | − | 0.296275i | ||||
\(443\) | −49.1507 | − | 162.028i | −0.110950 | − | 0.365752i | 0.883829 | − | 0.467811i | \(-0.154957\pi\) |
−0.994778 | + | 0.102059i | \(0.967457\pi\) | |||||||
\(444\) | −188.185 | − | 58.5861i | −0.423840 | − | 0.131951i | ||||
\(445\) | −260.982 | + | 318.007i | −0.586476 | + | 0.714623i | ||||
\(446\) | −208.316 | − | 444.632i | −0.467076 | − | 0.996932i | ||||
\(447\) | −238.445 | −0.533435 | ||||||||
\(448\) | 387.929 | + | 332.819i | 0.865913 | + | 0.742899i | ||||
\(449\) | 376.259i | 0.837992i | 0.907988 | + | 0.418996i | \(0.137618\pi\) | ||||
−0.907988 | + | 0.418996i | \(0.862382\pi\) | |||||||
\(450\) | −24.7067 | − | 52.7343i | −0.0549038 | − | 0.117187i | ||||
\(451\) | 24.9038 | + | 20.4380i | 0.0552190 | + | 0.0453171i | ||||
\(452\) | −431.861 | + | 226.804i | −0.955446 | + | 0.501779i | ||||
\(453\) | −47.2134 | + | 14.3220i | −0.104224 | + | 0.0316160i | ||||
\(454\) | 67.0333 | − | 263.534i | 0.147650 | − | 0.580472i | ||||
\(455\) | −507.066 | − | 100.862i | −1.11443 | − | 0.221674i | ||||
\(456\) | −187.122 | + | 64.6549i | −0.410354 | + | 0.141787i | ||||
\(457\) | −166.040 | + | 33.0274i | −0.363326 | + | 0.0722701i | −0.373378 | − | 0.927679i | \(-0.621800\pi\) |
0.0100516 | + | 0.999949i | \(0.496800\pi\) | |||||||
\(458\) | 29.8997 | − | 26.9018i | 0.0652833 | − | 0.0587375i | ||||
\(459\) | 2.07879 | − | 21.1063i | 0.00452896 | − | 0.0459833i | ||||
\(460\) | −41.9794 | + | 27.6094i | −0.0912596 | + | 0.0600205i | ||||
\(461\) | −224.483 | + | 740.021i | −0.486948 | + | 1.60525i | 0.277608 | + | 0.960694i | \(0.410458\pi\) |
−0.764556 | + | 0.644557i | \(0.777042\pi\) | |||||||
\(462\) | 54.5940 | + | 221.371i | 0.118169 | + | 0.479157i | ||||
\(463\) | 186.506 | − | 450.266i | 0.402822 | − | 0.972498i | −0.584156 | − | 0.811641i | \(-0.698574\pi\) |
0.986978 | − | 0.160856i | \(-0.0514256\pi\) | |||||||
\(464\) | 16.0200 | + | 55.7216i | 0.0345258 | + | 0.120090i | ||||
\(465\) | −228.262 | + | 94.5490i | −0.490885 | + | 0.203331i | ||||
\(466\) | 110.260 | − | 81.1532i | 0.236609 | − | 0.174149i | ||||
\(467\) | −160.218 | − | 299.747i | −0.343080 | − | 0.641857i | 0.649916 | − | 0.760006i | \(-0.274804\pi\) |
−0.992996 | + | 0.118149i | \(0.962304\pi\) | |||||||
\(468\) | 141.476 | − | 139.429i | 0.302298 | − | 0.297924i | ||||
\(469\) | −462.517 | + | 379.578i | −0.986176 | + | 0.809334i | ||||
\(470\) | 476.976 | − | 168.707i | 1.01484 | − | 0.358951i | ||||
\(471\) | −175.810 | + | 263.119i | −0.373270 | + | 0.558638i | ||||
\(472\) | 68.0478 | − | 73.4495i | 0.144169 | − | 0.155613i | ||||
\(473\) | −360.652 | − | 539.753i | −0.762477 | − | 1.14113i | ||||
\(474\) | −68.8869 | − | 476.349i | −0.145331 | − | 1.00496i | ||||
\(475\) | 65.3707 | − | 122.300i | 0.137623 | − | 0.257474i | ||||
\(476\) | −114.542 | − | 62.3013i | −0.240635 | − | 0.130885i | ||||
\(477\) | 14.4206 | + | 146.415i | 0.0302318 | + | 0.306949i | ||||
\(478\) | −813.984 | + | 37.0161i | −1.70289 | + | 0.0774395i | ||||
\(479\) | −609.726 | − | 609.726i | −1.27291 | − | 1.27291i | −0.944552 | − | 0.328361i | \(-0.893504\pi\) |
−0.328361 | − | 0.944552i | \(-0.606496\pi\) | |||||||
\(480\) | −114.804 | + | 183.858i | −0.239174 | + | 0.383037i | ||||
\(481\) | 332.974 | + | 332.974i | 0.692253 | + | 0.692253i | ||||
\(482\) | −357.130 | + | 391.159i | −0.740935 | + | 0.811533i | ||||
\(483\) | −4.35498 | − | 44.2169i | −0.00901652 | − | 0.0915463i | ||||
\(484\) | −133.497 | − | 165.106i | −0.275820 | − | 0.341127i | ||||
\(485\) | 72.8374 | − | 136.269i | 0.150180 | − | 0.280967i | ||||
\(486\) | 18.6632 | − | 24.9737i | 0.0384016 | − | 0.0513862i | ||||
\(487\) | −81.7569 | − | 122.358i | −0.167879 | − | 0.251248i | 0.737985 | − | 0.674817i | \(-0.235777\pi\) |
−0.905864 | + | 0.423569i | \(0.860777\pi\) | |||||||
\(488\) | 395.399 | + | 63.0763i | 0.810244 | + | 0.129255i | ||||
\(489\) | −4.38513 | + | 6.56281i | −0.00896755 | + | 0.0134209i | ||||
\(490\) | −49.8187 | + | 104.347i | −0.101671 | + | 0.212954i | ||||
\(491\) | 389.238 | − | 319.439i | 0.792745 | − | 0.650589i | −0.148273 | − | 0.988947i | \(-0.547371\pi\) |
0.941018 | + | 0.338358i | \(0.109871\pi\) | |||||||
\(492\) | −24.9457 | − | 10.5465i | −0.0507026 | − | 0.0214359i | ||||
\(493\) | −6.97209 | − | 13.0439i | −0.0141422 | − | 0.0264581i | ||||
\(494\) | 467.631 | + | 71.1087i | 0.946621 | + | 0.143945i | ||||
\(495\) | −89.3296 | + | 37.0015i | −0.180464 | + | 0.0747506i | ||||
\(496\) | −480.467 | − | 331.267i | −0.968684 | − | 0.667877i | ||||
\(497\) | −147.775 | + | 356.760i | −0.297334 | + | 0.717827i | ||||
\(498\) | 279.668 | + | 169.015i | 0.561582 | + | 0.339387i | ||||
\(499\) | −30.1472 | + | 99.3820i | −0.0604152 | + | 0.199162i | −0.981953 | − | 0.189128i | \(-0.939434\pi\) |
0.921537 | + | 0.388290i | \(0.126934\pi\) | |||||||
\(500\) | −102.033 | − | 533.233i | −0.204066 | − | 1.06647i | ||||
\(501\) | 26.7173 | − | 271.266i | 0.0533280 | − | 0.541448i | ||||
\(502\) | 349.461 | + | 18.4445i | 0.696138 | + | 0.0367420i | ||||
\(503\) | 827.456 | − | 164.591i | 1.64504 | − | 0.327219i | 0.716257 | − | 0.697837i | \(-0.245854\pi\) |
0.928786 | + | 0.370618i | \(0.120854\pi\) | |||||||
\(504\) | −96.7378 | − | 165.472i | −0.191940 | − | 0.328318i | ||||
\(505\) | 220.653 | + | 43.8906i | 0.436936 | + | 0.0869120i | ||||
\(506\) | −27.0517 | − | 45.5082i | −0.0534618 | − | 0.0899372i | ||||
\(507\) | −174.030 | + | 52.7916i | −0.343255 | + | 0.104125i | ||||
\(508\) | −216.253 | + | 259.624i | −0.425695 | + | 0.511070i | ||||
\(509\) | −731.621 | − | 600.426i | −1.43737 | − | 1.17962i | −0.952308 | − | 0.305139i | \(-0.901297\pi\) |
−0.485061 | − | 0.874480i | \(-0.661203\pi\) | |||||||
\(510\) | 18.8177 | − | 51.9938i | 0.0368974 | − | 0.101949i | ||||
\(511\) | − | 1150.28i | − | 2.25104i | ||||||
\(512\) | −511.932 | + | 8.34310i | −0.999867 | + | 0.0162951i | ||||
\(513\) | 74.2412 | 0.144720 | ||||||||
\(514\) | 247.658 | + | 89.6326i | 0.481825 | + | 0.174383i | ||||
\(515\) | 19.6363 | − | 23.9269i | 0.0381287 | − | 0.0464600i | ||||
\(516\) | 419.317 | + | 349.269i | 0.812630 | + | 0.676878i | ||||
\(517\) | 154.746 | + | 510.131i | 0.299316 | + | 0.986713i | ||||
\(518\) | 390.598 | − | 232.185i | 0.754050 | − | 0.448234i | ||||
\(519\) | 17.5598 | − | 88.2791i | 0.0338339 | − | 0.170095i | ||||
\(520\) | 447.081 | − | 261.371i | 0.859771 | − | 0.502636i | ||||
\(521\) | −36.5693 | − | 183.847i | −0.0701907 | − | 0.352872i | 0.929690 | − | 0.368344i | \(-0.120075\pi\) |
−0.999880 | + | 0.0154715i | \(0.995075\pi\) | |||||||
\(522\) | 1.14595 | − | 21.7118i | 0.00219530 | − | 0.0415935i | ||||
\(523\) | 668.091 | + | 65.8013i | 1.27742 | + | 0.125815i | 0.713877 | − | 0.700271i | \(-0.246937\pi\) |
0.563544 | + | 0.826086i | \(0.309437\pi\) | |||||||
\(524\) | −916.086 | + | 175.291i | −1.74826 | + | 0.334525i | ||||
\(525\) | 128.479 | + | 38.9738i | 0.244722 | + | 0.0742357i | ||||
\(526\) | 58.8109 | − | 97.3142i | 0.111808 | − | 0.185008i | ||||
\(527\) | 137.542 | + | 56.9719i | 0.260991 | + | 0.108106i | ||||
\(528\) | −188.030 | − | 129.641i | −0.356117 | − | 0.245531i | ||||
\(529\) | −198.492 | − | 479.201i | −0.375220 | − | 0.905862i | ||||
\(530\) | −57.6645 | + | 379.218i | −0.108801 | + | 0.715505i | ||||
\(531\) | −33.1139 | + | 17.6998i | −0.0623614 | + | 0.0333329i | ||||
\(532\) | 177.738 | − | 420.406i | 0.334093 | − | 0.790236i | ||||
\(533\) | 41.0503 | + | 50.0199i | 0.0770174 | + | 0.0938460i | ||||
\(534\) | 328.845 | + | 157.001i | 0.615814 | + | 0.294009i | ||||
\(535\) | 492.480 | + | 329.065i | 0.920524 | + | 0.615074i | ||||
\(536\) | 94.4172 | − | 591.863i | 0.176152 | − | 1.10422i | ||||
\(537\) | −145.712 | + | 97.3619i | −0.271345 | + | 0.181307i | ||||
\(538\) | 376.531 | + | 281.387i | 0.699872 | + | 0.523024i | ||||
\(539\) | −107.449 | − | 57.4328i | −0.199349 | − | 0.106554i | ||||
\(540\) | 63.2074 | − | 51.1067i | 0.117051 | − | 0.0946421i | ||||
\(541\) | −685.750 | + | 67.5404i | −1.26756 | + | 0.124844i | −0.709350 | − | 0.704856i | \(-0.751011\pi\) |
−0.558209 | + | 0.829700i | \(0.688511\pi\) | |||||||
\(542\) | 148.149 | + | 135.260i | 0.273337 | + | 0.249558i | ||||
\(543\) | 3.44384 | − | 3.44384i | 0.00634226 | − | 0.00634226i | ||||
\(544\) | 127.253 | − | 29.4225i | 0.233921 | − | 0.0540854i | ||||
\(545\) | −283.679 | + | 283.679i | −0.520513 | + | 0.520513i | ||||
\(546\) | 20.8039 | + | 457.477i | 0.0381023 | + | 0.837871i | ||||
\(547\) | −719.402 | + | 70.8549i | −1.31518 | + | 0.129534i | −0.731159 | − | 0.682207i | \(-0.761020\pi\) |
−0.584018 | + | 0.811741i | \(0.698520\pi\) | |||||||
\(548\) | −56.9348 | + | 104.676i | −0.103896 | + | 0.191014i | ||||
\(549\) | −132.420 | − | 70.7800i | −0.241202 | − | 0.128925i | ||||
\(550\) | 158.331 | − | 22.8969i | 0.287874 | − | 0.0416307i | ||||
\(551\) | 43.0486 | − | 28.7641i | 0.0781280 | − | 0.0522035i | ||||
\(552\) | 32.6482 | + | 30.2472i | 0.0591453 | + | 0.0547956i | ||||
\(553\) | 922.634 | + | 616.485i | 1.66842 | + | 1.11480i | ||||
\(554\) | 237.591 | + | 671.727i | 0.428864 | + | 1.21250i | ||||
\(555\) | 122.246 | + | 148.957i | 0.220262 | + | 0.268391i | ||||
\(556\) | 336.888 | + | 341.834i | 0.605914 | + | 0.614810i | ||||
\(557\) | 247.021 | − | 132.036i | 0.443485 | − | 0.237048i | −0.234511 | − | 0.972114i | \(-0.575349\pi\) |
0.677996 | + | 0.735066i | \(0.262849\pi\) | |||||||
\(558\) | 129.727 | + | 176.255i | 0.232486 | + | 0.315870i | ||||
\(559\) | −498.960 | − | 1204.60i | −0.892595 | − | 2.15491i | ||||
\(560\) | −138.080 | − | 480.277i | −0.246571 | − | 0.857637i | ||||
\(561\) | 53.8269 | + | 22.2958i | 0.0959481 | + | 0.0397430i | ||||
\(562\) | 197.874 | − | 48.7994i | 0.352089 | − | 0.0868317i | ||||
\(563\) | 153.342 | + | 46.5159i | 0.272367 | + | 0.0826215i | 0.423513 | − | 0.905890i | \(-0.360797\pi\) |
−0.151147 | + | 0.988511i | \(0.548297\pi\) | |||||||
\(564\) | −246.256 | − | 374.426i | −0.436623 | − | 0.663875i | ||||
\(565\) | 474.618 | + | 46.7458i | 0.840032 | + | 0.0827359i | ||||
\(566\) | −56.2368 | − | 62.5039i | −0.0993583 | − | 0.110431i | ||||
\(567\) | 14.0227 | + | 70.4970i | 0.0247314 | + | 0.124333i | ||||
\(568\) | −126.323 | − | 365.600i | −0.222400 | − | 0.643662i | ||||
\(569\) | 121.968 | − | 613.174i | 0.214355 | − | 1.07763i | −0.712345 | − | 0.701830i | \(-0.752367\pi\) |
0.926699 | − | 0.375804i | \(-0.122633\pi\) | |||||||
\(570\) | 187.587 | + | 47.7151i | 0.329100 | + | 0.0837108i | ||||
\(571\) | −182.114 | − | 600.349i | −0.318938 | − | 1.05140i | −0.959078 | − | 0.283141i | \(-0.908624\pi\) |
0.640140 | − | 0.768258i | \(-0.278876\pi\) | |||||||
\(572\) | 253.713 | + | 483.099i | 0.443554 | + | 0.844578i | ||||
\(573\) | 307.013 | − | 374.097i | 0.535800 | − | 0.652874i | ||||
\(574\) | 56.5427 | − | 26.4910i | 0.0985064 | − | 0.0461516i | ||||
\(575\) | −31.1747 | −0.0542169 | ||||||||
\(576\) | 182.470 | + | 59.7376i | 0.316789 | + | 0.103711i | ||||
\(577\) | 906.330i | 1.57076i | 0.619013 | + | 0.785381i | \(0.287533\pi\) | ||||
−0.619013 | + | 0.785381i | \(0.712467\pi\) | |||||||
\(578\) | 493.232 | − | 231.086i | 0.853342 | − | 0.399802i | ||||
\(579\) | −71.5024 | − | 58.6805i | −0.123493 | − | 0.101348i | ||||
\(580\) | 16.8498 | − | 54.1232i | 0.0290513 | − | 0.0933159i | ||||
\(581\) | −720.931 | + | 218.692i | −1.24085 | + | 0.376406i | ||||
\(582\) | −132.642 | − | 33.7392i | −0.227908 | − | 0.0579712i | ||||
\(583\) | −396.396 | − | 78.8481i | −0.679925 | − | 0.135245i | ||||
\(584\) | 764.412 | + | 862.153i | 1.30893 | + | 1.47629i | ||||
\(585\) | −190.472 | + | 37.8873i | −0.325593 | + | 0.0647645i | ||||
\(586\) | 132.915 | + | 147.728i | 0.226818 | + | 0.252095i | ||||
\(587\) | 95.5618 | − | 970.255i | 0.162797 | − | 1.65290i | −0.473010 | − | 0.881057i | \(-0.656833\pi\) |
0.635807 | − | 0.771848i | \(-0.280667\pi\) | |||||||
\(588\) | 100.307 | + | 20.7132i | 0.170590 | + | 0.0352266i | ||||
\(589\) | −151.280 | + | 498.703i | −0.256842 | + | 0.846695i | ||||
\(590\) | −95.0454 | + | 23.4399i | −0.161094 | + | 0.0397287i | ||||
\(591\) | 112.618 | − | 271.883i | 0.190554 | − | 0.460039i | ||||
\(592\) | −138.462 | + | 433.597i | −0.233888 | + | 0.732427i | ||||
\(593\) | 233.080 | − | 96.5447i | 0.393052 | − | 0.162807i | −0.177399 | − | 0.984139i | \(-0.556768\pi\) |
0.570451 | + | 0.821332i | \(0.306768\pi\) | |||||||
\(594\) | 50.7684 | + | 68.9771i | 0.0854686 | + | 0.116123i | ||||
\(595\) | 60.0940 | + | 112.428i | 0.100998 | + | 0.188954i | ||||
\(596\) | −4.01267 | + | 550.651i | −0.00673268 | + | 0.923912i | ||||
\(597\) | −220.643 | + | 181.077i | −0.369587 | + | 0.303312i | ||||
\(598\) | −35.4579 | − | 100.248i | −0.0592941 | − | 0.167639i | ||||
\(599\) | 205.720 | − | 307.881i | 0.343439 | − | 0.513992i | −0.619037 | − | 0.785362i | \(-0.712477\pi\) |
0.962475 | + | 0.271370i | \(0.0874767\pi\) | |||||||
\(600\) | −122.197 | + | 56.1688i | −0.203662 | + | 0.0936147i | ||||
\(601\) | −86.8527 | − | 129.984i | −0.144514 | − | 0.216280i | 0.752151 | − | 0.658991i | \(-0.229017\pi\) |
−0.896664 | + | 0.442711i | \(0.854017\pi\) | |||||||
\(602\) | −1245.21 | + | 180.075i | −2.06846 | + | 0.299128i | ||||
\(603\) | −105.949 | + | 198.216i | −0.175703 | + | 0.328717i | ||||
\(604\) | 32.2799 | + | 109.273i | 0.0534436 | + | 0.180915i | ||||
\(605\) | 20.3471 | + | 206.588i | 0.0336316 | + | 0.341467i | ||||
\(606\) | −9.05293 | − | 199.074i | −0.0149388 | − | 0.328505i | ||||
\(607\) | 800.543 | + | 800.543i | 1.31885 | + | 1.31885i | 0.914686 | + | 0.404166i | \(0.132438\pi\) |
0.404166 | + | 0.914686i | \(0.367562\pi\) | |||||||
\(608\) | 146.161 | + | 433.215i | 0.240397 | + | 0.712525i | ||||
\(609\) | 35.4445 | + | 35.4445i | 0.0582011 | + | 0.0582011i | ||||
\(610\) | −289.098 | − | 263.948i | −0.473932 | − | 0.432702i | ||||
\(611\) | 104.948 | + | 1065.56i | 0.171765 | + | 1.74396i | ||||
\(612\) | −48.7067 | − | 5.15583i | −0.0795862 | − | 0.00842455i | ||||
\(613\) | 195.470 | − | 365.698i | 0.318874 | − | 0.596571i | −0.670509 | − | 0.741901i | \(-0.733924\pi\) |
0.989383 | + | 0.145330i | \(0.0464244\pi\) | |||||||
\(614\) | 549.772 | + | 410.852i | 0.895393 | + | 0.669140i | ||||
\(615\) | 14.7111 | + | 22.0168i | 0.0239206 | + | 0.0357996i | ||||
\(616\) | 512.139 | − | 122.351i | 0.831394 | − | 0.198622i | ||||
\(617\) | 537.907 | − | 805.034i | 0.871810 | − | 1.30476i | −0.0795998 | − | 0.996827i | \(-0.525364\pi\) |
0.951409 | − | 0.307929i | \(-0.0996358\pi\) | |||||||
\(618\) | −24.7423 | − | 11.8127i | −0.0400361 | − | 0.0191145i | ||||
\(619\) | 527.951 | − | 433.278i | 0.852910 | − | 0.699965i | −0.102664 | − | 0.994716i | \(-0.532737\pi\) |
0.955574 | + | 0.294751i | \(0.0952367\pi\) | |||||||
\(620\) | 214.504 | + | 528.724i | 0.345975 | + | 0.852781i | ||||
\(621\) | −7.86752 | − | 14.7191i | −0.0126691 | − | 0.0237022i | ||||
\(622\) | −142.483 | + | 937.007i | −0.229072 | + | 1.50644i | ||||
\(623\) | −776.173 | + | 321.502i | −1.24586 | + | 0.516054i | ||||
\(624\) | −319.607 | − | 329.062i | −0.512191 | − | 0.527342i | ||||
\(625\) | −110.270 | + | 266.216i | −0.176433 | + | 0.425946i | ||||
\(626\) | −621.565 | + | 1028.50i | −0.992916 | + | 1.64297i | ||||
\(627\) | −59.2030 | + | 195.166i | −0.0944227 | + | 0.311270i | ||||
\(628\) | 604.672 | + | 410.434i | 0.962853 | + | 0.653557i | ||||
\(629\) | 11.3810 | − | 115.553i | 0.0180938 | − | 0.183710i | ||||
\(630\) | −9.87716 | + | 187.139i | −0.0156780 | + | 0.297046i | ||||
\(631\) | −659.374 | + | 131.158i | −1.04497 | + | 0.207857i | −0.687587 | − | 0.726102i | \(-0.741330\pi\) |
−0.357380 | + | 0.933959i | \(0.616330\pi\) | |||||||
\(632\) | −1101.21 | + | 151.067i | −1.74242 | + | 0.239030i | ||||
\(633\) | 47.0287 | + | 9.35460i | 0.0742950 | + | 0.0147782i | ||||
\(634\) | 216.153 | − | 128.489i | 0.340935 | − | 0.202664i | ||||
\(635\) | 316.128 | − | 95.8964i | 0.497840 | − | 0.151018i | ||||
\(636\) | 338.364 | − | 30.8381i | 0.532019 | − | 0.0484876i | ||||
\(637\) | −189.163 | − | 155.242i | −0.296959 | − | 0.243708i | ||||
\(638\) | 56.1625 | + | 20.3264i | 0.0880289 | + | 0.0318595i | ||||
\(639\) | 145.053i | 0.227001i | ||||||||
\(640\) | 422.658 | + | 268.215i | 0.660404 | + | 0.419086i | ||||
\(641\) | −1141.73 | −1.78117 | −0.890585 | − | 0.454817i | \(-0.849705\pi\) | ||||
−0.890585 | + | 0.454817i | \(0.849705\pi\) | |||||||
\(642\) | 178.548 | − | 493.335i | 0.278112 | − | 0.768434i | ||||
\(643\) | 300.134 | − | 365.715i | 0.466772 | − | 0.568763i | −0.485413 | − | 0.874285i | \(-0.661331\pi\) |
0.952185 | + | 0.305522i | \(0.0988309\pi\) | |||||||
\(644\) | −102.185 | + | 9.31303i | −0.158672 | + | 0.0144612i | ||||
\(645\) | −154.882 | − | 510.577i | −0.240127 | − | 0.791592i | ||||
\(646\) | −59.5963 | − | 100.257i | −0.0922544 | − | 0.155197i | ||||
\(647\) | −202.476 | + | 1017.91i | −0.312946 | + | 1.57328i | 0.429304 | + | 0.903160i | \(0.358759\pi\) |
−0.742249 | + | 0.670124i | \(0.766241\pi\) | |||||||
\(648\) | −57.3587 | − | 43.5199i | −0.0885165 | − | 0.0671603i | ||||
\(649\) | −20.1229 | − | 101.165i | −0.0310060 | − | 0.155878i | ||||
\(650\) | 320.873 | + | 16.9356i | 0.493650 | + | 0.0260548i | ||||
\(651\) | −502.126 | − | 49.4551i | −0.771315 | − | 0.0759679i | ||||
\(652\) | 15.0820 | + | 10.2372i | 0.0231319 | + | 0.0157012i | ||||
\(653\) | 1179.70 | + | 357.858i | 1.80659 | + | 0.548022i | 0.999122 | − | 0.0418942i | \(-0.0133393\pi\) |
0.807464 | + | 0.589916i | \(0.200839\pi\) | |||||||
\(654\) | 304.136 | + | 183.802i | 0.465040 | + | 0.281043i | ||||
\(655\) | 842.486 | + | 348.969i | 1.28624 | + | 0.532777i | ||||
\(656\) | −24.7752 | + | 57.4306i | −0.0377670 | + | 0.0875466i | ||||
\(657\) | −165.352 | − | 399.196i | −0.251678 | − | 0.607604i | ||||
\(658\) | 1021.46 | + | 155.325i | 1.55237 | + | 0.236056i | ||||
\(659\) | 531.094 | − | 283.876i | 0.805909 | − | 0.430767i | −0.0163604 | − | 0.999866i | \(-0.505208\pi\) |
0.822269 | + | 0.569099i | \(0.192708\pi\) | |||||||
\(660\) | 83.9458 | + | 206.915i | 0.127191 | + | 0.313508i | ||||
\(661\) | −312.452 | − | 380.724i | −0.472695 | − | 0.575981i | 0.481013 | − | 0.876713i | \(-0.340269\pi\) |
−0.953709 | + | 0.300732i | \(0.902769\pi\) | |||||||
\(662\) | 495.213 | − | 1037.25i | 0.748056 | − | 1.56684i | ||||
\(663\) | 97.2989 | + | 65.0130i | 0.146755 | + | 0.0980589i | ||||
\(664\) | 395.019 | − | 643.004i | 0.594908 | − | 0.968380i | ||||
\(665\) | −371.045 | + | 247.924i | −0.557962 | + | 0.372819i | ||||
\(666\) | 102.178 | − | 136.726i | 0.153420 | − | 0.205295i | ||||
\(667\) | −10.2647 | − | 5.48662i | −0.0153894 | − | 0.00822582i | ||||
\(668\) | −625.995 | − | 66.2644i | −0.937118 | − | 0.0991982i | ||||
\(669\) | 423.181 | − | 41.6797i | 0.632558 | − | 0.0623015i | ||||
\(670\) | −395.097 | + | 432.744i | −0.589698 | + | 0.645886i | ||||
\(671\) | 291.665 | − | 291.665i | 0.434671 | − | 0.434671i | ||||
\(672\) | −383.760 | + | 220.616i | −0.571071 | + | 0.328297i | ||||
\(673\) | −831.772 | + | 831.772i | −1.23592 | + | 1.23592i | −0.274262 | + | 0.961655i | \(0.588433\pi\) |
−0.961655 | + | 0.274262i | \(0.911567\pi\) | |||||||
\(674\) | 860.529 | − | 39.1327i | 1.27675 | − | 0.0580604i | ||||
\(675\) | 50.1902 | − | 4.94330i | 0.0743559 | − | 0.00732341i | ||||
\(676\) | 118.985 | + | 402.784i | 0.176013 | + | 0.595834i | ||||
\(677\) | 597.949 | + | 319.611i | 0.883234 | + | 0.472098i | 0.849656 | − | 0.527338i | \(-0.176810\pi\) |
0.0335781 | + | 0.999436i | \(0.489310\pi\) | |||||||
\(678\) | −60.4624 | − | 418.094i | −0.0891775 | − | 0.616658i | ||||
\(679\) | 262.365 | − | 175.307i | 0.386399 | − | 0.258183i | ||||
\(680\) | −119.755 | − | 44.3314i | −0.176110 | − | 0.0651932i | ||||
\(681\) | 195.807 | + | 130.834i | 0.287529 | + | 0.192120i | ||||
\(682\) | −566.792 | + | 200.475i | −0.831073 | + | 0.293951i | ||||
\(683\) | 486.186 | + | 592.420i | 0.711840 | + | 0.867379i | 0.995809 | − | 0.0914542i | \(-0.0291515\pi\) |
−0.283970 | + | 0.958833i | \(0.591652\pi\) | |||||||
\(684\) | 1.24937 | − | 171.448i | 0.00182656 | − | 0.250655i | ||||
\(685\) | 102.744 | − | 54.9176i | 0.149991 | − | 0.0801716i | ||||
\(686\) | 440.166 | − | 323.970i | 0.641642 | − | 0.472260i | ||||
\(687\) | 13.3297 | + | 32.1806i | 0.0194027 | + | 0.0468423i | ||||
\(688\) | 813.637 | − | 962.468i | 1.18261 | − | 1.39894i | ||||
\(689\) | −749.978 | − | 310.651i | −1.08850 | − | 0.450872i | ||||
\(690\) | −10.4190 | − | 42.2476i | −0.0151000 | − | 0.0612284i | ||||
\(691\) | −654.154 | − | 198.435i | −0.946677 | − | 0.287171i | −0.221052 | − | 0.975262i | \(-0.570949\pi\) |
−0.725625 | + | 0.688091i | \(0.758449\pi\) | |||||||
\(692\) | −203.571 | − | 42.0372i | −0.294178 | − | 0.0607473i | ||||
\(693\) | −196.506 | − | 19.3541i | −0.283558 | − | 0.0279280i | ||||
\(694\) | 946.718 | − | 851.793i | 1.36415 | − | 1.22737i | ||||
\(695\) | −91.5434 | − | 460.220i | −0.131717 | − | 0.662187i | ||||
\(696\) | −50.1207 | − | 3.01175i | −0.0720124 | − | 0.00432723i | ||||
\(697\) | 3.11277 | − | 15.6490i | 0.00446595 | − | 0.0224519i | ||||
\(698\) | 269.459 | − | 1059.35i | 0.386045 | − | 1.51769i | ||||
\(699\) | 34.4172 | + | 113.458i | 0.0492377 | + | 0.162315i | ||||
\(700\) | 92.1658 | − | 296.046i | 0.131665 | − | 0.422923i | ||||
\(701\) | 829.501 | − | 1010.75i | 1.18331 | − | 1.44187i | 0.312732 | − | 0.949841i | \(-0.398756\pi\) |
0.870580 | − | 0.492028i | \(-0.163744\pi\) | |||||||
\(702\) | 72.9820 | + | 155.773i | 0.103963 | + | 0.221900i | ||||
\(703\) | 406.457 | 0.578175 | ||||||||
\(704\) | −302.548 | + | 432.043i | −0.429756 | + | 0.613697i | ||||
\(705\) | 438.151i | 0.621491i | ||||||||
\(706\) | 36.8087 | + | 78.5647i | 0.0521369 | + | 0.111281i | ||||
\(707\) | 355.150 | + | 291.464i | 0.502334 | + | 0.412255i | ||||
\(708\) | 40.3175 | + | 76.7691i | 0.0569456 | + | 0.108431i | ||||
\(709\) | 845.958 | − | 256.619i | 1.19317 | − | 0.361945i | 0.369618 | − | 0.929184i | \(-0.379488\pi\) |
0.823553 | + | 0.567239i | \(0.191988\pi\) | |||||||
\(710\) | −93.2264 | + | 366.510i | −0.131305 | + | 0.516211i | ||||
\(711\) | 408.813 | + | 81.3179i | 0.574983 | + | 0.114371i | ||||
\(712\) | 368.102 | − | 756.773i | 0.516997 | − | 1.06288i | ||||
\(713\) | 114.905 | − | 22.8559i | 0.161156 | − | 0.0320560i | ||||
\(714\) | 83.9442 | − | 75.5273i | 0.117569 | − | 0.105781i | ||||
\(715\) | 52.2919 | − | 530.928i | 0.0731355 | − | 0.742557i | ||||
\(716\) | 222.390 | + | 338.138i | 0.310600 | + | 0.472260i | ||||
\(717\) | 204.842 | − | 675.274i | 0.285693 | − | 0.941804i | ||||
\(718\) | −87.3194 | − | 354.067i | −0.121615 | − | 0.493129i | ||||
\(719\) | −274.193 | + | 661.960i | −0.381353 | + | 0.920667i | 0.610352 | + | 0.792130i | \(0.291028\pi\) |
−0.991705 | + | 0.128537i | \(0.958972\pi\) | |||||||
\(720\) | −116.959 | − | 146.827i | −0.162443 | − | 0.203927i | ||||
\(721\) | 58.3993 | − | 24.1898i | 0.0809977 | − | 0.0335503i | ||||
\(722\) | −252.663 | + | 185.964i | −0.349948 | + | 0.257568i | ||||
\(723\) | −216.232 | − | 404.542i | −0.299076 | − | 0.559533i | ||||
\(724\) | −7.89505 | − | 8.01096i | −0.0109048 | − | 0.0110649i | ||||
\(725\) | 27.1874 | − | 22.3121i | 0.0374999 | − | 0.0307753i | ||||
\(726\) | 173.353 | − | 61.3153i | 0.238779 | − | 0.0844563i | ||||
\(727\) | 697.478 | − | 1043.85i | 0.959392 | − | 1.43583i | 0.0602463 | − | 0.998184i | \(-0.480811\pi\) |
0.899146 | − | 0.437649i | \(-0.144189\pi\) | |||||||
\(728\) | 1056.82 | − | 40.3446i | 1.45168 | − | 0.0554184i | ||||
\(729\) | 15.0004 | + | 22.4497i | 0.0205767 | + | 0.0307952i | ||||
\(730\) | −161.235 | − | 1114.93i | −0.220870 | − | 1.52730i | ||||
\(731\) | −151.554 | + | 283.537i | −0.207324 | + | 0.387876i | ||||
\(732\) | −165.683 | + | 304.612i | −0.226344 | + | 0.416136i | ||||
\(733\) | −83.7384 | − | 850.210i | −0.114241 | − | 1.15990i | −0.865853 | − | 0.500299i | \(-0.833223\pi\) |
0.751612 | − | 0.659606i | \(-0.229277\pi\) | |||||||
\(734\) | −495.742 | + | 22.5440i | −0.675398 | + | 0.0307138i | ||||
\(735\) | −70.8086 | − | 70.8086i | −0.0963382 | − | 0.0963382i | ||||
\(736\) | 70.4004 | − | 74.8868i | 0.0956527 | − | 0.101748i | ||||
\(737\) | −436.585 | − | 436.585i | −0.592381 | − | 0.592381i | ||||
\(738\) | 15.8146 | − | 17.3215i | 0.0214290 | − | 0.0234709i | ||||
\(739\) | 90.4398 | + | 918.251i | 0.122381 | + | 1.24256i | 0.838625 | + | 0.544708i | \(0.183360\pi\) |
−0.716244 | + | 0.697850i | \(0.754140\pi\) | |||||||
\(740\) | 346.049 | − | 279.800i | 0.467634 | − | 0.378108i | ||||
\(741\) | −193.101 | + | 361.266i | −0.260595 | + | 0.487539i | ||||
\(742\) | −468.917 | + | 627.471i | −0.631964 | + | 0.845648i | ||||
\(743\) | 203.203 | + | 304.114i | 0.273489 | + | 0.409306i | 0.942635 | − | 0.333826i | \(-0.108340\pi\) |
−0.669145 | + | 0.743132i | \(0.733340\pi\) | |||||||
\(744\) | 409.216 | − | 296.618i | 0.550022 | − | 0.398680i | ||||
\(745\) | 299.109 | − | 447.649i | 0.401489 | − | 0.600871i | ||||
\(746\) | −354.176 | + | 741.838i | −0.474767 | + | 0.994420i | ||||
\(747\) | −218.757 | + | 179.529i | −0.292847 | + | 0.240333i | ||||
\(748\) | 52.3945 | − | 123.929i | 0.0700461 | − | 0.165681i | ||||
\(749\) | 570.191 | + | 1066.75i | 0.761270 | + | 1.42424i | ||||
\(750\) | 464.828 | + | 70.6825i | 0.619770 | + | 0.0942433i | ||||
\(751\) | 231.462 | − | 95.8747i | 0.308205 | − | 0.127663i | −0.223220 | − | 0.974768i | \(-0.571657\pi\) |
0.531425 | + | 0.847105i | \(0.321657\pi\) | |||||||
\(752\) | −868.820 | + | 562.387i | −1.15535 | + | 0.747855i | ||||
\(753\) | −115.977 | + | 279.994i | −0.154020 | + | 0.371838i | ||||
\(754\) | 102.671 | + | 62.0485i | 0.136169 | + | 0.0822925i | ||||
\(755\) | 32.3375 | − | 106.603i | 0.0428312 | − | 0.141195i | ||||
\(756\) | 163.038 | − | 31.1969i | 0.215658 | − | 0.0412657i | ||||
\(757\) | −72.8162 | + | 739.315i | −0.0961905 | + | 0.976639i | 0.819048 | + | 0.573725i | \(0.194502\pi\) |
−0.915238 | + | 0.402913i | \(0.867998\pi\) | |||||||
\(758\) | −1241.41 | − | 65.5216i | −1.63775 | − | 0.0864401i | ||||
\(759\) | 44.9676 | − | 8.94462i | 0.0592459 | − | 0.0117847i | ||||
\(760\) | 113.347 | − | 432.399i | 0.149141 | − | 0.568946i | ||||
\(761\) | −1224.48 | − | 243.565i | −1.60905 | − | 0.320059i | −0.692941 | − | 0.720995i | \(-0.743685\pi\) |
−0.916106 | + | 0.400935i | \(0.868685\pi\) | |||||||
\(762\) | −149.522 | − | 251.536i | −0.196223 | − | 0.330100i | ||||
\(763\) | −784.006 | + | 237.826i | −1.02753 | + | 0.311698i | ||||
\(764\) | −858.750 | − | 715.293i | −1.12402 | − | 0.936248i | ||||
\(765\) | 37.0166 | + | 30.3787i | 0.0483877 | + | 0.0397108i | ||||
\(766\) | 49.6904 | − | 137.296i | 0.0648700 | − | 0.179238i | ||||
\(767\) | − | 207.173i | − | 0.270108i | ||||||
\(768\) | 141.025 | − | 420.381i | 0.183626 | − | 0.547371i | ||||
\(769\) | −490.395 | −0.637705 | −0.318852 | − | 0.947804i | \(-0.603297\pi\) | ||||
−0.318852 | + | 0.947804i | \(0.603297\pi\) | |||||||
\(770\) | −484.077 | − | 175.198i | −0.628671 | − | 0.227529i | ||||
\(771\) | −144.701 | + | 176.318i | −0.187679 | + | 0.228688i | ||||
\(772\) | −136.717 | + | 164.136i | −0.177094 | + | 0.212611i | ||||
\(773\) | 262.018 | + | 863.757i | 0.338962 | + | 1.11741i | 0.946388 | + | 0.323032i | \(0.104702\pi\) |
−0.607426 | + | 0.794376i | \(0.707798\pi\) | |||||||
\(774\) | −406.255 | + | 241.492i | −0.524877 | + | 0.312006i | ||||
\(775\) | −69.0658 | + | 347.217i | −0.0891172 | + | 0.448022i | ||||
\(776\) | −80.1475 | + | 305.748i | −0.103283 | + | 0.394005i | ||||
\(777\) | 76.7719 | + | 385.958i | 0.0988055 | + | 0.496729i | ||||
\(778\) | 8.16261 | − | 154.654i | 0.0104918 | − | 0.198784i | ||||
\(779\) | 55.5841 | + | 5.47456i | 0.0713532 | + | 0.00702768i | ||||
\(780\) | 84.2892 | + | 440.502i | 0.108063 | + | 0.564747i | ||||
\(781\) | −381.318 | − | 115.672i | −0.488243 | − | 0.148107i | ||||
\(782\) | −13.5614 | + | 22.4401i | −0.0173420 | + | 0.0286957i | ||||
\(783\) | 17.3959 | + | 7.20560i | 0.0222169 | + | 0.00920256i | ||||
\(784\) | 49.5219 | − | 231.294i | 0.0631657 | − | 0.295018i | ||||
\(785\) | −273.431 | − | 660.120i | −0.348319 | − | 0.840917i | ||||
\(786\) | 121.431 | − | 798.567i | 0.154493 | − | 1.01599i | ||||
\(787\) | −131.079 | + | 70.0634i | −0.166556 | + | 0.0890260i | −0.552568 | − | 0.833468i | \(-0.686352\pi\) |
0.386012 | + | 0.922494i | \(0.373852\pi\) | |||||||
\(788\) | −625.975 | − | 264.648i | −0.794384 | − | 0.335847i | ||||
\(789\) | 62.4695 | + | 76.1193i | 0.0791755 | + | 0.0964756i | ||||
\(790\) | 980.693 | + | 468.213i | 1.24138 | + | 0.592675i | ||||
\(791\) | 809.801 | + | 541.092i | 1.02377 | + | 0.684060i | ||||
\(792\) | 160.146 | − | 116.081i | 0.202204 | − | 0.146566i | ||||
\(793\) | 688.847 | − | 460.273i | 0.868659 | − | 0.580419i | ||||
\(794\) | −65.6145 | − | 49.0346i | −0.0826379 | − | 0.0617564i | ||||
\(795\) | −292.963 | − | 156.592i | −0.368507 | − | 0.196971i | ||||
\(796\) | 414.456 | + | 512.588i | 0.520673 | + | 0.643954i | ||||
\(797\) | 874.416 | − | 86.1225i | 1.09713 | − | 0.108058i | 0.466786 | − | 0.884370i | \(-0.345412\pi\) |
0.630349 | + | 0.776312i | \(0.282912\pi\) | |||||||
\(798\) | 291.916 | + | 266.521i | 0.365810 | + | 0.333986i | ||||
\(799\) | 186.686 | − | 186.686i | 0.233650 | − | 0.233650i | ||||
\(800\) | 127.656 | + | 283.140i | 0.159571 | + | 0.353925i | ||||
\(801\) | −223.149 | + | 223.149i | −0.278588 | + | 0.278588i | ||||
\(802\) | 4.34182 | + | 95.4767i | 0.00541374 | + | 0.119048i | ||||
\(803\) | 1181.27 | − | 116.345i | 1.47107 | − | 0.144888i | ||||
\(804\) | 455.965 | + | 248.007i | 0.567121 | + | 0.308467i | ||||
\(805\) | 88.4741 | + | 47.2904i | 0.109906 | + | 0.0587458i | ||||
\(806\) | −1195.10 | + | 172.828i | −1.48275 | + | 0.214427i | ||||
\(807\) | −338.476 | + | 226.163i | −0.419426 | + | 0.280251i | ||||
\(808\) | −459.882 | + | 17.5562i | −0.569161 | + | 0.0217280i | ||||
\(809\) | 1258.90 | + | 841.167i | 1.55611 | + | 1.03976i | 0.973970 | + | 0.226675i | \(0.0727855\pi\) |
0.582143 | + | 0.813087i | \(0.302214\pi\) | |||||||
\(810\) | 23.4734 | + | 66.3650i | 0.0289795 | + | 0.0819320i | ||||
\(811\) | 623.069 | + | 759.211i | 0.768272 | + | 0.936142i | 0.999323 | − | 0.0367995i | \(-0.0117163\pi\) |
−0.231051 | + | 0.972942i | \(0.574216\pi\) | |||||||
\(812\) | 82.4498 | − | 81.2569i | 0.101539 | − | 0.100070i | ||||
\(813\) | −153.217 | + | 81.8963i | −0.188459 | + | 0.100734i | ||||
\(814\) | 277.948 | + | 377.637i | 0.341459 | + | 0.463927i | ||||
\(815\) | −6.82002 | − | 16.4650i | −0.00836812 | − | 0.0202024i | ||||
\(816\) | −12.7262 | + | 112.394i | −0.0155959 | + | 0.137737i | ||||
\(817\) | −1039.76 | − | 430.681i | −1.27265 | − | 0.527150i | ||||
\(818\) | 266.014 | − | 65.6038i | 0.325200 | − | 0.0802003i | ||||
\(819\) | −379.519 | − | 115.126i | −0.463393 | − | 0.140569i | ||||
\(820\) | 51.0918 | − | 33.6025i | 0.0623070 | − | 0.0409787i | ||||
\(821\) | 1090.31 | + | 107.386i | 1.32803 | + | 0.130800i | 0.737023 | − | 0.675867i | \(-0.236231\pi\) |
0.591006 | + | 0.806667i | \(0.298731\pi\) | |||||||
\(822\) | −69.0215 | − | 76.7134i | −0.0839678 | − | 0.0933253i | ||||
\(823\) | 29.1808 | + | 146.702i | 0.0354566 | + | 0.178252i | 0.994456 | − | 0.105157i | \(-0.0335345\pi\) |
−0.958999 | + | 0.283409i | \(0.908535\pi\) | |||||||
\(824\) | −27.6960 | + | 56.9396i | −0.0336117 | + | 0.0691015i | ||||
\(825\) | −27.0287 | + | 135.883i | −0.0327621 | + | 0.164706i | ||||
\(826\) | −193.745 | − | 49.2814i | −0.234558 | − | 0.0596627i | ||||
\(827\) | 154.893 | + | 510.613i | 0.187295 | + | 0.617428i | 0.999424 | + | 0.0339496i | \(0.0108086\pi\) |
−0.812129 | + | 0.583478i | \(0.801691\pi\) | |||||||
\(828\) | −34.1238 | + | 17.9211i | −0.0412123 | + | 0.0216438i | ||||
\(829\) | 24.6909 | − | 30.0860i | 0.0297840 | − | 0.0362919i | −0.757905 | − | 0.652364i | \(-0.773777\pi\) |
0.787689 | + | 0.616073i | \(0.211277\pi\) | |||||||
\(830\) | −668.122 | + | 313.024i | −0.804966 | + | 0.377138i | ||||
\(831\) | −617.049 | −0.742538 | ||||||||
\(832\) | −765.293 | + | 732.544i | −0.919824 | + | 0.880461i | ||||
\(833\) | 60.3399i | 0.0724369i | ||||||||
\(834\) | −376.381 | + | 176.340i | −0.451296 | + | 0.211438i | ||||
\(835\) | 475.750 | + | 390.438i | 0.569760 | + | 0.467590i | ||||
\(836\) | 449.709 | + | 140.004i | 0.537929 | + | 0.167469i | ||||
\(837\) | −181.368 | + | 55.0174i | −0.216688 | + | 0.0657316i | ||||
\(838\) | 657.562 | + | 167.259i | 0.784681 | + | 0.199593i | ||||
\(839\) | 389.505 | + | 77.4773i | 0.464249 | + | 0.0923448i | 0.421672 | − | 0.906748i | \(-0.361443\pi\) |
0.0425765 | + | 0.999093i | \(0.486443\pi\) | |||||||
\(840\) | 432.001 | + | 25.9590i | 0.514287 | + | 0.0309035i | ||||
\(841\) | −811.962 | + | 161.509i | −0.965472 | + | 0.192044i | ||||
\(842\) | −918.100 | − | 1020.41i | −1.09038 | − | 1.21189i | ||||
\(843\) | −17.2999 | + | 175.649i | −0.0205218 | + | 0.208361i | ||||
\(844\) | 22.3944 | − | 108.448i | 0.0265336 | − | 0.128493i | ||||
\(845\) | 119.197 | − | 392.941i | 0.141062 | − | 0.465019i | ||||
\(846\) | 376.817 | − | 92.9301i | 0.445410 | − | 0.109846i | ||||
\(847\) | −162.230 | + | 391.659i | −0.191535 | + | 0.462407i | ||||
\(848\) | −65.5215 | − | 781.916i | −0.0772659 | − | 0.922071i | ||||
\(849\) | 67.2720 | − | 27.8650i | 0.0792368 | − | 0.0328210i | ||||
\(850\) | −46.9652 | − | 63.8098i | −0.0552532 | − | 0.0750704i | ||||
\(851\) | −43.0732 | − | 80.5844i | −0.0506149 | − | 0.0946937i | ||||
\(852\) | 334.977 | + | 2.44103i | 0.393166 | + | 0.00286506i | ||||
\(853\) | 585.471 | − | 480.484i | 0.686367 | − | 0.563287i | −0.225263 | − | 0.974298i | \(-0.572324\pi\) |
0.911630 | + | 0.411011i | \(0.134824\pi\) | |||||||
\(854\) | −266.580 | − | 753.686i | −0.312154 | − | 0.882536i | ||||
\(855\) | −93.1293 | + | 139.378i | −0.108923 | + | 0.163015i | ||||
\(856\) | −1136.27 | − | 420.631i | −1.32742 | − | 0.491391i | ||||
\(857\) | −321.391 | − | 480.995i | −0.375018 | − | 0.561255i | 0.595172 | − | 0.803598i | \(-0.297084\pi\) |
−0.970190 | + | 0.242344i | \(0.922084\pi\) | |||||||
\(858\) | −467.698 | + | 67.6358i | −0.545103 | + | 0.0788296i | ||||
\(859\) | 127.946 | − | 239.371i | 0.148948 | − | 0.278662i | −0.796372 | − | 0.604808i | \(-0.793250\pi\) |
0.945320 | + | 0.326146i | \(0.105750\pi\) | |||||||
\(860\) | −1181.70 | + | 349.083i | −1.37407 | + | 0.405910i | ||||
\(861\) | 5.30030 | + | 53.8149i | 0.00615599 | + | 0.0625028i | ||||
\(862\) | 24.4016 | + | 536.591i | 0.0283081 | + | 0.622495i | ||||
\(863\) | 90.5611 | + | 90.5611i | 0.104938 | + | 0.104938i | 0.757626 | − | 0.652689i | \(-0.226359\pi\) |
−0.652689 | + | 0.757626i | \(0.726359\pi\) | |||||||
\(864\) | −101.467 | + | 131.728i | −0.117439 | + | 0.152463i | ||||
\(865\) | 143.705 | + | 143.705i | 0.166133 | + | 0.166133i | ||||
\(866\) | −989.279 | − | 903.217i | −1.14235 | − | 1.04298i | ||||
\(867\) | 46.2355 | + | 469.437i | 0.0533281 | + | 0.541449i | ||||
\(868\) | −122.659 | + | 1158.75i | −0.141312 | + | 1.33496i | ||||
\(869\) | −539.774 | + | 1009.85i | −0.621143 | + | 1.16208i | ||||
\(870\) | 39.3235 | + | 29.3870i | 0.0451994 | + | 0.0337781i | ||||
\(871\) | −688.970 | − | 1031.12i | −0.791010 | − | 1.18383i | ||||
\(872\) | 429.579 | − | 699.261i | 0.492637 | − | 0.801905i | ||||
\(873\) | 65.8514 | − | 98.5536i | 0.0754312 | − | 0.112891i | ||||
\(874\) | −82.8274 | − | 39.5444i | −0.0947682 | − | 0.0452453i | ||||
\(875\) | −837.925 | + | 687.667i | −0.957628 | + | 0.785905i | ||||
\(876\) | −924.661 | + | 375.137i | −1.05555 | + | 0.428238i | ||||
\(877\) | 23.5608 | + | 44.0791i | 0.0268652 | + | 0.0502612i | 0.894996 | − | 0.446075i | \(-0.147178\pi\) |
−0.868131 | + | 0.496336i | \(0.834678\pi\) | |||||||
\(878\) | −74.7293 | + | 491.441i | −0.0851131 | + | 0.559728i | ||||
\(879\) | −158.997 | + | 65.8587i | −0.180884 | + | 0.0749246i | ||||
\(880\) | 479.250 | − | 190.377i | 0.544602 | − | 0.216338i | ||||
\(881\) | 455.947 | − | 1100.75i | 0.517533 | − | 1.24944i | −0.421881 | − | 0.906651i | \(-0.638630\pi\) |
0.939414 | − | 0.342784i | \(-0.111370\pi\) | |||||||
\(882\) | −45.8783 | + | 75.9148i | −0.0520163 | + | 0.0860712i | ||||
\(883\) | −275.785 | + | 909.141i | −0.312327 | + | 1.02960i | 0.650505 | + | 0.759502i | \(0.274557\pi\) |
−0.962832 | + | 0.270102i | \(0.912943\pi\) | |||||||
\(884\) | 151.775 | − | 223.602i | 0.171691 | − | 0.252944i | ||||
\(885\) | 8.30969 | − | 84.3697i | 0.00938948 | − | 0.0953330i | ||||
\(886\) | 17.8484 | − | 338.167i | 0.0201449 | − | 0.381679i | ||||
\(887\) | −554.860 | + | 110.369i | −0.625547 | + | 0.124429i | −0.497678 | − | 0.867362i | \(-0.665814\pi\) |
−0.127869 | + | 0.991791i | \(0.540814\pi\) | |||||||
\(888\) | −314.028 | − | 238.264i | −0.353636 | − | 0.268315i | ||||
\(889\) | 661.673 | + | 131.615i | 0.744290 | + | 0.148048i | ||||
\(890\) | −707.255 | + | 420.418i | −0.794669 | + | 0.472379i | ||||
\(891\) | −70.9779 | + | 21.5309i | −0.0796610 | + | 0.0241649i | ||||
\(892\) | −89.1311 | − | 977.971i | −0.0999228 | − | 1.09638i | ||||
\(893\) | 714.413 | + | 586.303i | 0.800014 | + | 0.656555i | ||||
\(894\) | −448.425 | − | 162.295i | −0.501594 | − | 0.181538i | ||||
\(895\) | − | 395.687i | − | 0.442109i | ||||||
\(896\) | 503.018 | + | 889.945i | 0.561405 | + | 0.993242i | ||||
\(897\) | 92.0881 | 0.102662 | ||||||||
\(898\) | −256.095 | + | 707.600i | −0.285184 | + | 0.787973i | ||||
\(899\) | −83.8497 | + | 102.171i | −0.0932699 | + | 0.113650i | ||||
\(900\) | −10.5711 | − | 115.989i | −0.0117457 | − | 0.128877i | ||||
\(901\) | 58.1047 | + | 191.545i | 0.0644891 | + | 0.212592i | ||||
\(902\) | 32.9237 | + | 55.3866i | 0.0365008 | + | 0.0614042i | ||||
\(903\) | 212.571 | − | 1068.67i | 0.235405 | − | 1.18346i | ||||
\(904\) | −966.539 | + | 132.592i | −1.06918 | + | 0.146673i | ||||
\(905\) | 2.14534 | + | 10.7854i | 0.00237054 | + | 0.0119175i | ||||
\(906\) | −98.5386 | − | 5.20085i | −0.108762 | − | 0.00574045i | ||||
\(907\) | −240.823 | − | 23.7190i | −0.265516 | − | 0.0261510i | −0.0356167 | − | 0.999366i | \(-0.511340\pi\) |
−0.229899 | + | 0.973215i | \(0.573840\pi\) | |||||||
\(908\) | 305.435 | − | 449.983i | 0.336383 | − | 0.495576i | ||||
\(909\) | 165.150 | + | 50.0977i | 0.181683 | + | 0.0551130i | ||||
\(910\) | −884.948 | − | 534.810i | −0.972471 | − | 0.587703i | ||||
\(911\) | −1220.02 | − | 505.351i | −1.33921 | − | 0.554721i | −0.405945 | − | 0.913898i | \(-0.633057\pi\) |
−0.933269 | + | 0.359177i | \(0.883057\pi\) | |||||||
\(912\) | −395.911 | − | 5.77043i | −0.434113 | − | 0.00632722i | ||||
\(913\) | −297.502 | − | 718.234i | −0.325851 | − | 0.786675i | ||||
\(914\) | −334.738 | − | 50.9008i | −0.366234 | − | 0.0556902i | ||||
\(915\) | 298.989 | − | 159.813i | 0.326764 | − | 0.174659i | ||||
\(916\) | 74.5404 | − | 30.2412i | 0.0813759 | − | 0.0330144i | ||||
\(917\) | 1181.40 | + | 1439.54i | 1.28833 | + | 1.56984i | ||||
\(918\) | 18.2752 | − | 38.2781i | 0.0199076 | − | 0.0416973i | ||||
\(919\) | 317.500 | + | 212.147i | 0.345485 | + | 0.230845i | 0.716190 | − | 0.697905i | \(-0.245884\pi\) |
−0.370706 | + | 0.928750i | \(0.620884\pi\) | |||||||
\(920\) | −97.7393 | + | 23.3501i | −0.106238 | + | 0.0253806i | ||||
\(921\) | −494.208 | + | 330.219i | −0.536599 | + | 0.358544i | ||||
\(922\) | −925.852 | + | 1238.91i | −1.00418 | + | 1.34372i | ||||
\(923\) | −705.846 | − | 377.282i | −0.764730 | − | 0.408757i | ||||
\(924\) | −48.0021 | + | 453.473i | −0.0519504 | + | 0.490771i | ||||
\(925\) | 274.782 | − | 27.0637i | 0.297062 | − | 0.0292580i | ||||
\(926\) | 657.216 | − | 719.837i | 0.709736 | − | 0.777362i | ||||
\(927\) | 16.7898 | − | 16.7898i | 0.0181119 | − | 0.0181119i | ||||
\(928\) | −7.79862 | + | 115.695i | −0.00840368 | + | 0.124671i | ||||
\(929\) | 644.084 | − | 644.084i | 0.693308 | − | 0.693308i | −0.269650 | − | 0.962958i | \(-0.586908\pi\) |
0.962958 | + | 0.269650i | \(0.0869080\pi\) | |||||||
\(930\) | −493.627 | + | 22.4478i | −0.530782 | + | 0.0241374i | ||||
\(931\) | −210.206 | + | 20.7035i | −0.225785 | + | 0.0222379i | ||||
\(932\) | 262.593 | − | 77.5716i | 0.281752 | − | 0.0832313i | ||||
\(933\) | −723.881 | − | 386.922i | −0.775864 | − | 0.414708i | ||||
\(934\) | −97.2910 | − | 672.762i | −0.104166 | − | 0.720302i | ||||
\(935\) | −109.379 | + | 73.0845i | −0.116982 | + | 0.0781652i | ||||
\(936\) | 360.962 | − | 165.919i | 0.385643 | − | 0.177264i | ||||
\(937\) | 745.933 | + | 498.417i | 0.796087 | + | 0.531928i | 0.885815 | − | 0.464038i | \(-0.153600\pi\) |
−0.0897284 | + | 0.995966i | \(0.528600\pi\) | |||||||
\(938\) | −1128.17 | + | 399.036i | −1.20274 | + | 0.425411i | ||||
\(939\) | −660.232 | − | 804.495i | −0.703123 | − | 0.856758i | ||||
\(940\) | 1011.84 | + | 7.37342i | 1.07643 | + | 0.00784406i | ||||
\(941\) | −1427.71 | + | 763.126i | −1.51722 | + | 0.810974i | −0.999019 | − | 0.0442823i | \(-0.985900\pi\) |
−0.518206 | + | 0.855256i | \(0.673400\pi\) | |||||||
\(942\) | −509.721 | + | 375.164i | −0.541105 | + | 0.398263i | ||||
\(943\) | −4.80500 | − | 11.6003i | −0.00509544 | − | 0.0123015i | ||||
\(944\) | 177.964 | − | 91.8149i | 0.188522 | − | 0.0972615i | ||||
\(945\) | −149.939 | − | 62.1067i | −0.158665 | − | 0.0657214i | ||||
\(946\) | −310.873 | − | 1260.54i | −0.328619 | − | 1.33250i | ||||
\(947\) | −1214.73 | − | 368.483i | −1.28271 | − | 0.389105i | −0.425914 | − | 0.904764i | \(-0.640047\pi\) |
−0.856794 | + | 0.515658i | \(0.827547\pi\) | |||||||
\(948\) | 194.670 | − | 942.719i | 0.205348 | − | 0.994429i | ||||
\(949\) | 2372.61 | + | 233.682i | 2.50012 | + | 0.246240i | ||||
\(950\) | 206.179 | − | 185.506i | 0.217031 | − | 0.195270i | ||||
\(951\) | 42.4847 | + | 213.585i | 0.0446737 | + | 0.224590i | ||||
\(952\) | −173.006 | − | 195.127i | −0.181729 | − | 0.204965i | ||||
\(953\) | 71.4274 | − | 359.090i | 0.0749500 | − | 0.376799i | −0.925045 | − | 0.379857i | \(-0.875973\pi\) |
0.999995 | + | 0.00305758i | \(0.000973258\pi\) | |||||||
\(954\) | −72.5355 | + | 285.166i | −0.0760330 | + | 0.298916i | ||||
\(955\) | 317.194 | + | 1045.65i | 0.332140 | + | 1.09492i | ||||
\(956\) | −1555.99 | − | 484.414i | −1.62760 | − | 0.506709i | ||||
\(957\) | −32.8144 | + | 39.9844i | −0.0342888 | + | 0.0417810i | ||||
\(958\) | −731.661 | − | 1561.66i | −0.763738 | − | 1.63013i | ||||
\(959\) | 237.912 | 0.248083 | ||||||||
\(960\) | −341.043 | + | 267.627i | −0.355253 | + | 0.278779i | ||||
\(961\) | − | 369.418i | − | 0.384410i | ||||||
\(962\) | 399.563 | + | 852.831i | 0.415347 | + | 0.886519i | ||||
\(963\) | 351.226 | + | 288.244i | 0.364720 | + | 0.299318i | ||||
\(964\) | −937.864 | + | 492.546i | −0.972888 | + | 0.510940i | ||||
\(965\) | 199.858 | − | 60.6264i | 0.207107 | − | 0.0628252i | ||||
\(966\) | 21.9055 | − | 86.1193i | 0.0226765 | − | 0.0891504i | ||||
\(967\) | −921.444 | − | 183.287i | −0.952889 | − | 0.189541i | −0.305920 | − | 0.952057i | \(-0.598964\pi\) |
−0.646969 | + | 0.762516i | \(0.723964\pi\) | |||||||
\(968\) | −138.681 | − | 401.364i | −0.143265 | − | 0.414632i | ||||
\(969\) | 99.0661 | − | 19.7055i | 0.102235 | − | 0.0203359i | ||||
\(970\) | 229.729 | − | 206.695i | 0.236834 | − | 0.213087i | ||||
\(971\) | 56.5603 | − | 574.266i | 0.0582495 | − | 0.591417i | −0.921112 | − | 0.389299i | \(-0.872717\pi\) |
0.979361 | − | 0.202118i | \(-0.0647826\pi\) | |||||||
\(972\) | 52.0964 | − | 34.2632i | 0.0535971 | − | 0.0352502i | ||||
\(973\) | 278.168 | − | 916.997i | 0.285887 | − | 0.942442i | ||||
\(974\) | −70.4725 | − | 285.755i | −0.0723537 | − | 0.293383i | ||||
\(975\) | −106.490 | + | 257.089i | −0.109220 | + | 0.263681i | ||||
\(976\) | 700.664 | + | 387.746i | 0.717893 | + | 0.397280i | ||||
\(977\) | 788.675 | − | 326.680i | 0.807241 | − | 0.334370i | 0.0593884 | − | 0.998235i | \(-0.481085\pi\) |
0.747853 | + | 0.663865i | \(0.231085\pi\) | |||||||
\(978\) | −12.7137 | + | 9.35748i | −0.0129996 | + | 0.00956798i | ||||
\(979\) | −408.669 | − | 764.566i | −0.417435 | − | 0.780966i | ||||
\(980\) | −164.713 | + | 162.329i | −0.168074 | + | 0.165642i | ||||
\(981\) | −237.896 | + | 195.236i | −0.242503 | + | 0.199017i | ||||
\(982\) | 949.430 | − | 335.815i | 0.966833 | − | 0.341970i | ||||
\(983\) | −187.983 | + | 281.336i | −0.191234 | + | 0.286202i | −0.914680 | − | 0.404179i | \(-0.867557\pi\) |
0.723446 | + | 0.690381i | \(0.242557\pi\) | |||||||
\(984\) | −39.7351 | − | 36.8128i | −0.0403812 | − | 0.0374114i | ||||
\(985\) | 369.154 | + | 552.478i | 0.374776 | + | 0.560891i | ||||
\(986\) | −4.23373 | − | 29.2760i | −0.00429384 | − | 0.0296917i | ||||
\(987\) | −421.795 | + | 789.124i | −0.427351 | + | 0.799517i | ||||
\(988\) | 831.037 | + | 452.015i | 0.841130 | + | 0.457505i | ||||
\(989\) | 24.7984 | + | 251.783i | 0.0250743 | + | 0.254583i | ||||
\(990\) | −193.180 | + | 8.78488i | −0.195131 | + | 0.00887362i | ||||
\(991\) | 225.374 | + | 225.374i | 0.227421 | + | 0.227421i | 0.811615 | − | 0.584193i | \(-0.198589\pi\) |
−0.584193 | + | 0.811615i | \(0.698589\pi\) | |||||||
\(992\) | −678.105 | − | 950.011i | −0.683573 | − | 0.957673i | ||||
\(993\) | 703.859 | + | 703.859i | 0.708821 | + | 0.708821i | ||||
\(994\) | −520.732 | + | 570.349i | −0.523875 | + | 0.573792i | ||||
\(995\) | −63.1698 | − | 641.374i | −0.0634872 | − | 0.644597i | ||||
\(996\) | 410.912 | + | 508.205i | 0.412562 | + | 0.510246i | ||||
\(997\) | 729.048 | − | 1363.95i | 0.731242 | − | 1.36806i | −0.191056 | − | 0.981579i | \(-0.561191\pi\) |
0.922298 | − | 0.386479i | \(-0.126309\pi\) | |||||||
\(998\) | −124.338 | + | 166.381i | −0.124588 | + | 0.166714i | ||||
\(999\) | 82.1244 | + | 122.908i | 0.0822067 | + | 0.123031i |
(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 | 384.3.u.a.235.57 | yes | 1024 | |
128.67 | odd | 32 | inner | 384.3.u.a.67.57 | ✓ | 1024 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.3.u.a.67.57 | ✓ | 1024 | 128.67 | odd | 32 | inner | |
384.3.u.a.235.57 | yes | 1024 | 1.1 | even | 1 | trivial |