Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [115,2,Mod(6,115)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(115, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("115.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 115 = 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 115.g (of order \(11\), degree \(10\), 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: | \(0.918279623245\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - x^{19} + 12 x^{18} - 12 x^{17} + 56 x^{16} - 155 x^{15} + 551 x^{14} - 1189 x^{13} + \cdots + 1437601 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 41.1 | ||
Root | \(-1.14067 - 0.334930i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 115.41 |
Dual form | 115.2.g.b.101.1 |
$q$-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 \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{6}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.61435 | − | 0.474017i | −1.14152 | − | 0.335181i | −0.344295 | − | 0.938862i | \(-0.611882\pi\) |
−0.797226 | + | 0.603681i | \(0.793700\pi\) | |||||||
\(3\) | −0.778513 | + | 0.898452i | −0.449475 | + | 0.518722i | −0.934589 | − | 0.355729i | \(-0.884233\pi\) |
0.485114 | + | 0.874451i | \(0.338778\pi\) | |||||||
\(4\) | 0.698939 | + | 0.449181i | 0.349469 | + | 0.224590i | ||||
\(5\) | 0.142315 | − | 0.989821i | 0.0636451 | − | 0.442662i | ||||
\(6\) | 1.68268 | − | 1.08139i | 0.686950 | − | 0.441476i | ||||
\(7\) | 1.06223 | + | 2.32595i | 0.401484 | + | 0.879128i | 0.997118 | + | 0.0758714i | \(0.0241738\pi\) |
−0.595633 | + | 0.803256i | \(0.703099\pi\) | |||||||
\(8\) | 1.28820 | + | 1.48666i | 0.455448 | + | 0.525615i | ||||
\(9\) | 0.225811 | + | 1.57055i | 0.0752703 | + | 0.523517i | ||||
\(10\) | −0.698939 | + | 1.53046i | −0.221024 | + | 0.483975i | ||||
\(11\) | 4.12355 | − | 1.21078i | 1.24330 | − | 0.365065i | 0.407044 | − | 0.913409i | \(-0.366560\pi\) |
0.836253 | + | 0.548344i | \(0.184741\pi\) | |||||||
\(12\) | −0.947701 | + | 0.278270i | −0.273578 | + | 0.0803296i | ||||
\(13\) | −2.56591 | + | 5.61856i | −0.711655 | + | 1.55831i | 0.113587 | + | 0.993528i | \(0.463766\pi\) |
−0.825242 | + | 0.564779i | \(0.808961\pi\) | |||||||
\(14\) | −0.612269 | − | 4.25843i | −0.163636 | − | 1.13811i | ||||
\(15\) | 0.778513 | + | 0.898452i | 0.201011 | + | 0.231979i | ||||
\(16\) | −2.06519 | − | 4.52213i | −0.516297 | − | 1.13053i | ||||
\(17\) | 2.45927 | − | 1.58048i | 0.596461 | − | 0.383322i | −0.207298 | − | 0.978278i | \(-0.566467\pi\) |
0.803758 | + | 0.594956i | \(0.202830\pi\) | |||||||
\(18\) | 0.379929 | − | 2.64246i | 0.0895500 | − | 0.622834i | ||||
\(19\) | 3.55387 | + | 2.28394i | 0.815314 | + | 0.523971i | 0.880580 | − | 0.473897i | \(-0.157153\pi\) |
−0.0652658 | + | 0.997868i | \(0.520790\pi\) | |||||||
\(20\) | 0.544078 | − | 0.627899i | 0.121660 | − | 0.140403i | ||||
\(21\) | −2.91672 | − | 0.856425i | −0.636480 | − | 0.186887i | ||||
\(22\) | −7.23080 | −1.54161 | ||||||||
\(23\) | −1.93922 | − | 4.38628i | −0.404356 | − | 0.914602i | ||||
\(24\) | −2.33858 | −0.477360 | ||||||||
\(25\) | −0.959493 | − | 0.281733i | −0.191899 | − | 0.0563465i | ||||
\(26\) | 6.80558 | − | 7.85405i | 1.33468 | − | 1.54031i | ||||
\(27\) | −4.58717 | − | 2.94799i | −0.882800 | − | 0.567341i | ||||
\(28\) | −0.302341 | + | 2.10283i | −0.0571372 | + | 0.397398i | ||||
\(29\) | −6.89858 | + | 4.43345i | −1.28103 | + | 0.823270i | −0.991015 | − | 0.133751i | \(-0.957298\pi\) |
−0.290019 | + | 0.957021i | \(0.593662\pi\) | |||||||
\(30\) | −0.830914 | − | 1.81945i | −0.151703 | − | 0.332184i | ||||
\(31\) | 0.925621 | + | 1.06822i | 0.166247 | + | 0.191859i | 0.832760 | − | 0.553634i | \(-0.186759\pi\) |
−0.666513 | + | 0.745493i | \(0.732214\pi\) | |||||||
\(32\) | 0.630471 | + | 4.38502i | 0.111452 | + | 0.775169i | ||||
\(33\) | −2.12241 | + | 4.64742i | −0.369464 | + | 0.809013i | ||||
\(34\) | −4.71931 | + | 1.38571i | −0.809355 | + | 0.237648i | ||||
\(35\) | 2.45345 | − | 0.720398i | 0.414709 | − | 0.121769i | ||||
\(36\) | −0.547633 | + | 1.19915i | −0.0912721 | + | 0.199858i | ||||
\(37\) | 0.434822 | + | 3.02425i | 0.0714842 | + | 0.497184i | 0.993838 | + | 0.110838i | \(0.0353536\pi\) |
−0.922354 | + | 0.386345i | \(0.873737\pi\) | |||||||
\(38\) | −4.65458 | − | 5.37168i | −0.755073 | − | 0.871401i | ||||
\(39\) | −3.05041 | − | 6.67947i | −0.488457 | − | 1.06957i | ||||
\(40\) | 1.65486 | − | 1.06351i | 0.261656 | − | 0.168156i | ||||
\(41\) | 0.00351200 | − | 0.0244265i | 0.000548483 | − | 0.00381478i | −0.989545 | − | 0.144222i | \(-0.953932\pi\) |
0.990094 | + | 0.140407i | \(0.0448412\pi\) | |||||||
\(42\) | 4.30265 | + | 2.76515i | 0.663914 | + | 0.426671i | ||||
\(43\) | 4.65623 | − | 5.37358i | 0.710069 | − | 0.819463i | −0.280007 | − | 0.959998i | \(-0.590337\pi\) |
0.990076 | + | 0.140535i | \(0.0448821\pi\) | |||||||
\(44\) | 3.42597 | + | 1.00596i | 0.516484 | + | 0.151653i | ||||
\(45\) | 1.58670 | 0.236531 | ||||||||
\(46\) | 1.05142 | + | 8.00022i | 0.155024 | + | 1.17957i | ||||
\(47\) | 11.0743 | 1.61535 | 0.807676 | − | 0.589627i | \(-0.200725\pi\) | ||||
0.807676 | + | 0.589627i | \(0.200725\pi\) | |||||||
\(48\) | 5.67069 | + | 1.66507i | 0.818494 | + | 0.240331i | ||||
\(49\) | 0.302293 | − | 0.348865i | 0.0431847 | − | 0.0498378i | ||||
\(50\) | 1.41542 | + | 0.909632i | 0.200170 | + | 0.128641i | ||||
\(51\) | −0.494592 | + | 3.43996i | −0.0692567 | + | 0.481691i | ||||
\(52\) | −4.31716 | + | 2.77447i | −0.598682 | + | 0.384750i | ||||
\(53\) | −1.70884 | − | 3.74183i | −0.234727 | − | 0.513980i | 0.755211 | − | 0.655482i | \(-0.227534\pi\) |
−0.989938 | + | 0.141501i | \(0.954807\pi\) | |||||||
\(54\) | 6.00791 | + | 6.93350i | 0.817573 | + | 0.943529i | ||||
\(55\) | −0.611617 | − | 4.25389i | −0.0824704 | − | 0.573594i | ||||
\(56\) | −2.08955 | + | 4.57547i | −0.279227 | + | 0.611423i | ||||
\(57\) | −4.81874 | + | 1.41491i | −0.638258 | + | 0.187410i | ||||
\(58\) | 13.2383 | − | 3.88711i | 1.73827 | − | 0.510402i | ||||
\(59\) | −0.601837 | + | 1.31784i | −0.0783526 | + | 0.171568i | −0.944754 | − | 0.327780i | \(-0.893700\pi\) |
0.866402 | + | 0.499348i | \(0.166427\pi\) | |||||||
\(60\) | 0.140566 | + | 0.977656i | 0.0181470 | + | 0.126215i | ||||
\(61\) | 3.10198 | + | 3.57988i | 0.397168 | + | 0.458357i | 0.918747 | − | 0.394846i | \(-0.129202\pi\) |
−0.521579 | + | 0.853203i | \(0.674657\pi\) | |||||||
\(62\) | −0.987924 | − | 2.16325i | −0.125466 | − | 0.274733i | ||||
\(63\) | −3.41316 | + | 2.19351i | −0.430018 | + | 0.276356i | ||||
\(64\) | −0.354232 | + | 2.46373i | −0.0442789 | + | 0.307967i | ||||
\(65\) | 5.19620 | + | 3.33940i | 0.644509 | + | 0.414201i | ||||
\(66\) | 5.62927 | − | 6.49653i | 0.692916 | − | 0.799667i | ||||
\(67\) | −6.16371 | − | 1.80983i | −0.753017 | − | 0.221106i | −0.117373 | − | 0.993088i | \(-0.537447\pi\) |
−0.635644 | + | 0.771982i | \(0.719265\pi\) | |||||||
\(68\) | 2.42880 | 0.294535 | ||||||||
\(69\) | 5.45057 | + | 1.67247i | 0.656172 | + | 0.201342i | ||||
\(70\) | −4.30222 | −0.514213 | ||||||||
\(71\) | −9.02373 | − | 2.64961i | −1.07092 | − | 0.314450i | −0.301679 | − | 0.953410i | \(-0.597547\pi\) |
−0.769241 | + | 0.638959i | \(0.779365\pi\) | |||||||
\(72\) | −2.04399 | + | 2.35889i | −0.240886 | + | 0.277998i | ||||
\(73\) | −7.84020 | − | 5.03859i | −0.917626 | − | 0.589723i | −0.00565837 | − | 0.999984i | \(-0.501801\pi\) |
−0.911968 | + | 0.410261i | \(0.865437\pi\) | |||||||
\(74\) | 0.731591 | − | 5.08832i | 0.0850457 | − | 0.591506i | ||||
\(75\) | 1.00010 | − | 0.642726i | 0.115482 | − | 0.0742156i | ||||
\(76\) | 1.45804 | + | 3.19266i | 0.167249 | + | 0.366223i | ||||
\(77\) | 7.19637 | + | 8.30506i | 0.820103 | + | 0.946449i | ||||
\(78\) | 1.75826 | + | 12.2290i | 0.199084 | + | 1.38466i | ||||
\(79\) | 0.950286 | − | 2.08084i | 0.106915 | − | 0.234112i | −0.848611 | − | 0.529017i | \(-0.822561\pi\) |
0.955527 | + | 0.294905i | \(0.0952880\pi\) | |||||||
\(80\) | −4.77001 | + | 1.40060i | −0.533303 | + | 0.156592i | ||||
\(81\) | 1.65252 | − | 0.485223i | 0.183613 | − | 0.0539136i | ||||
\(82\) | −0.0172482 | + | 0.0377683i | −0.00190475 | + | 0.00417081i | ||||
\(83\) | −0.880246 | − | 6.12225i | −0.0966196 | − | 0.672004i | −0.979357 | − | 0.202138i | \(-0.935211\pi\) |
0.882738 | − | 0.469866i | \(-0.155698\pi\) | |||||||
\(84\) | −1.65392 | − | 1.90872i | −0.180457 | − | 0.208259i | ||||
\(85\) | −1.21440 | − | 2.65916i | −0.131720 | − | 0.288427i | ||||
\(86\) | −10.0640 | + | 6.46773i | −1.08523 | + | 0.697433i | ||||
\(87\) | 1.38739 | − | 9.64954i | 0.148744 | − | 1.03454i | ||||
\(88\) | 7.11199 | + | 4.57060i | 0.758140 | + | 0.487227i | ||||
\(89\) | 9.70852 | − | 11.2042i | 1.02910 | − | 1.18765i | 0.0470762 | − | 0.998891i | \(-0.485010\pi\) |
0.982024 | − | 0.188754i | \(-0.0604449\pi\) | |||||||
\(90\) | −2.56150 | − | 0.752123i | −0.270005 | − | 0.0792807i | ||||
\(91\) | −15.7941 | −1.65567 | ||||||||
\(92\) | 0.614832 | − | 3.93680i | 0.0641006 | − | 0.410440i | ||||
\(93\) | −1.68036 | −0.174245 | ||||||||
\(94\) | −17.8778 | − | 5.24940i | −1.84396 | − | 0.541434i | ||||
\(95\) | 2.76646 | − | 3.19266i | 0.283833 | − | 0.327560i | ||||
\(96\) | −4.43056 | − | 2.84735i | −0.452192 | − | 0.290606i | ||||
\(97\) | 0.152308 | − | 1.05932i | 0.0154645 | − | 0.107558i | −0.980627 | − | 0.195884i | \(-0.937243\pi\) |
0.996092 | + | 0.0883256i | \(0.0281516\pi\) | |||||||
\(98\) | −0.653375 | + | 0.419899i | −0.0660009 | + | 0.0424162i | ||||
\(99\) | 2.83274 | + | 6.20283i | 0.284701 | + | 0.623408i | ||||
\(100\) | −0.544078 | − | 0.627899i | −0.0544078 | − | 0.0627899i | ||||
\(101\) | 1.25598 | + | 8.73551i | 0.124974 | + | 0.869216i | 0.951792 | + | 0.306745i | \(0.0992400\pi\) |
−0.826817 | + | 0.562471i | \(0.809851\pi\) | |||||||
\(102\) | 2.42905 | − | 5.31887i | 0.240511 | − | 0.526647i | ||||
\(103\) | 5.92302 | − | 1.73916i | 0.583612 | − | 0.171364i | 0.0234188 | − | 0.999726i | \(-0.492545\pi\) |
0.560194 | + | 0.828362i | \(0.310727\pi\) | |||||||
\(104\) | −11.6583 | + | 3.42319i | −1.14319 | + | 0.335671i | ||||
\(105\) | −1.26280 | + | 2.76515i | −0.123237 | + | 0.269851i | ||||
\(106\) | 0.984976 | + | 6.85066i | 0.0956693 | + | 0.665395i | ||||
\(107\) | −1.67722 | − | 1.93561i | −0.162143 | − | 0.187122i | 0.668865 | − | 0.743384i | \(-0.266781\pi\) |
−0.831007 | + | 0.556262i | \(0.812235\pi\) | |||||||
\(108\) | −1.88197 | − | 4.12093i | −0.181092 | − | 0.396537i | ||||
\(109\) | 12.1967 | − | 7.83833i | 1.16823 | − | 0.750776i | 0.195044 | − | 0.980795i | \(-0.437515\pi\) |
0.973186 | + | 0.230019i | \(0.0738787\pi\) | |||||||
\(110\) | −1.02905 | + | 7.15720i | −0.0981161 | + | 0.682412i | ||||
\(111\) | −3.05566 | − | 1.96375i | −0.290030 | − | 0.186391i | ||||
\(112\) | 8.32456 | − | 9.60706i | 0.786597 | − | 0.907781i | ||||
\(113\) | −13.5057 | − | 3.96564i | −1.27051 | − | 0.373056i | −0.424115 | − | 0.905608i | \(-0.639415\pi\) |
−0.846397 | + | 0.532553i | \(0.821233\pi\) | |||||||
\(114\) | 8.44985 | 0.791401 | ||||||||
\(115\) | −4.61761 | + | 1.29525i | −0.430594 | + | 0.120783i | ||||
\(116\) | −6.81310 | −0.632581 | ||||||||
\(117\) | −9.40363 | − | 2.76116i | −0.869366 | − | 0.255269i | ||||
\(118\) | 1.59626 | − | 1.84218i | 0.146947 | − | 0.169586i | ||||
\(119\) | 6.28842 | + | 4.04132i | 0.576459 | + | 0.370468i | ||||
\(120\) | −0.332814 | + | 2.31477i | −0.0303816 | + | 0.211309i | ||||
\(121\) | 6.28388 | − | 4.03840i | 0.571261 | − | 0.367127i | ||||
\(122\) | −3.31078 | − | 7.24959i | −0.299744 | − | 0.656347i | ||||
\(123\) | 0.0192119 | + | 0.0221717i | 0.00173228 | + | 0.00199916i | ||||
\(124\) | 0.167127 | + | 1.16239i | 0.0150085 | + | 0.104386i | ||||
\(125\) | −0.415415 | + | 0.909632i | −0.0371558 | + | 0.0813600i | ||||
\(126\) | 6.54981 | − | 1.92320i | 0.583504 | − | 0.171332i | ||||
\(127\) | 14.5978 | − | 4.28630i | 1.29534 | − | 0.380347i | 0.439809 | − | 0.898091i | \(-0.355046\pi\) |
0.855536 | + | 0.517744i | \(0.173228\pi\) | |||||||
\(128\) | 5.42038 | − | 11.8690i | 0.479098 | − | 1.04908i | ||||
\(129\) | 1.20297 | + | 8.36681i | 0.105915 | + | 0.736656i | ||||
\(130\) | −6.80558 | − | 7.85405i | −0.596888 | − | 0.688846i | ||||
\(131\) | −3.64105 | − | 7.97278i | −0.318120 | − | 0.696585i | 0.681251 | − | 0.732050i | \(-0.261436\pi\) |
−0.999371 | + | 0.0354645i | \(0.988709\pi\) | |||||||
\(132\) | −3.57097 | + | 2.29492i | −0.310813 | + | 0.199747i | ||||
\(133\) | −1.53731 | + | 10.6922i | −0.133301 | + | 0.927131i | ||||
\(134\) | 9.09251 | + | 5.84340i | 0.785473 | + | 0.504793i | ||||
\(135\) | −3.57081 | + | 4.12093i | −0.307326 | + | 0.354673i | ||||
\(136\) | 5.51767 | + | 1.62013i | 0.473136 | + | 0.138925i | ||||
\(137\) | 2.68759 | 0.229616 | 0.114808 | − | 0.993388i | \(-0.463375\pi\) | ||||
0.114808 | + | 0.993388i | \(0.463375\pi\) | |||||||
\(138\) | −8.00637 | − | 5.28363i | −0.681547 | − | 0.449772i | ||||
\(139\) | 6.16309 | 0.522747 | 0.261373 | − | 0.965238i | \(-0.415825\pi\) | ||||
0.261373 | + | 0.965238i | \(0.415825\pi\) | |||||||
\(140\) | 2.03840 | + | 0.598528i | 0.172276 | + | 0.0505849i | ||||
\(141\) | −8.62148 | + | 9.94972i | −0.726060 | + | 0.837918i | ||||
\(142\) | 13.3115 | + | 8.55480i | 1.11708 | + | 0.717903i | ||||
\(143\) | −3.77780 | + | 26.2752i | −0.315915 | + | 2.19724i | ||||
\(144\) | 6.63589 | − | 4.26462i | 0.552990 | − | 0.355385i | ||||
\(145\) | 3.40655 | + | 7.45930i | 0.282899 | + | 0.619462i | ||||
\(146\) | 10.2685 | + | 11.8505i | 0.849826 | + | 0.980751i | ||||
\(147\) | 0.0780991 | + | 0.543191i | 0.00644151 | + | 0.0448017i | ||||
\(148\) | −1.05452 | + | 2.30908i | −0.0866811 | + | 0.189805i | ||||
\(149\) | −20.2368 | + | 5.94205i | −1.65786 | + | 0.486792i | −0.970816 | − | 0.239824i | \(-0.922910\pi\) |
−0.687044 | + | 0.726615i | \(0.741092\pi\) | |||||||
\(150\) | −1.91918 | + | 0.563522i | −0.156700 | + | 0.0460114i | ||||
\(151\) | 7.95958 | − | 17.4290i | 0.647741 | − | 1.41836i | −0.245776 | − | 0.969327i | \(-0.579043\pi\) |
0.893517 | − | 0.449029i | \(-0.148230\pi\) | |||||||
\(152\) | 1.18266 | + | 8.22558i | 0.0959264 | + | 0.667182i | ||||
\(153\) | 3.03755 | + | 3.50552i | 0.245571 | + | 0.283404i | ||||
\(154\) | −7.68075 | − | 16.8185i | −0.618933 | − | 1.35527i | ||||
\(155\) | 1.18908 | − | 0.764176i | 0.0955093 | − | 0.0613801i | ||||
\(156\) | 0.868237 | − | 6.03872i | 0.0695146 | − | 0.483485i | ||||
\(157\) | −10.3716 | − | 6.66540i | −0.827741 | − | 0.531957i | 0.0568181 | − | 0.998385i | \(-0.481905\pi\) |
−0.884559 | + | 0.466427i | \(0.845541\pi\) | |||||||
\(158\) | −2.52045 | + | 2.90875i | −0.200516 | + | 0.231408i | ||||
\(159\) | 4.69221 | + | 1.37776i | 0.372117 | + | 0.109263i | ||||
\(160\) | 4.43011 | 0.350231 | ||||||||
\(161\) | 8.14238 | − | 9.16977i | 0.641709 | − | 0.722679i | ||||
\(162\) | −2.89775 | −0.227669 | ||||||||
\(163\) | 2.84537 | + | 0.835477i | 0.222867 | + | 0.0654396i | 0.391260 | − | 0.920280i | \(-0.372039\pi\) |
−0.168393 | + | 0.985720i | \(0.553858\pi\) | |||||||
\(164\) | 0.0134266 | − | 0.0154951i | 0.00104844 | − | 0.00120997i | ||||
\(165\) | 4.29807 | + | 2.76220i | 0.334604 | + | 0.215037i | ||||
\(166\) | −1.48102 | + | 10.3007i | −0.114950 | + | 0.799491i | ||||
\(167\) | 1.46436 | − | 0.941089i | 0.113316 | − | 0.0728237i | −0.482755 | − | 0.875755i | \(-0.660364\pi\) |
0.596071 | + | 0.802932i | \(0.296728\pi\) | |||||||
\(168\) | −2.48410 | − | 5.43942i | −0.191653 | − | 0.419660i | ||||
\(169\) | −16.4711 | − | 19.0087i | −1.26701 | − | 1.46220i | ||||
\(170\) | 0.699982 | + | 4.86848i | 0.0536861 | + | 0.373395i | ||||
\(171\) | −2.78453 | + | 6.09727i | −0.212938 | + | 0.466270i | ||||
\(172\) | 5.66813 | − | 1.66431i | 0.432191 | − | 0.126903i | ||||
\(173\) | 15.3746 | − | 4.51439i | 1.16891 | − | 0.343223i | 0.361021 | − | 0.932558i | \(-0.382428\pi\) |
0.807889 | + | 0.589335i | \(0.200610\pi\) | |||||||
\(174\) | −6.81379 | + | 14.9201i | −0.516552 | + | 1.13109i | ||||
\(175\) | −0.363903 | − | 2.53100i | −0.0275085 | − | 0.191326i | ||||
\(176\) | −13.9912 | − | 16.1467i | −1.05463 | − | 1.21711i | ||||
\(177\) | −0.715478 | − | 1.56668i | −0.0537786 | − | 0.117759i | ||||
\(178\) | −20.9840 | + | 13.4856i | −1.57282 | + | 1.01079i | ||||
\(179\) | −0.668570 | + | 4.65001i | −0.0499713 | + | 0.347558i | 0.949462 | + | 0.313883i | \(0.101630\pi\) |
−0.999433 | + | 0.0336745i | \(0.989279\pi\) | |||||||
\(180\) | 1.10901 | + | 0.712715i | 0.0826604 | + | 0.0531226i | ||||
\(181\) | −7.41120 | + | 8.55299i | −0.550870 | + | 0.635738i | −0.961086 | − | 0.276250i | \(-0.910908\pi\) |
0.410215 | + | 0.911989i | \(0.365454\pi\) | |||||||
\(182\) | 25.4972 | + | 7.48666i | 1.88998 | + | 0.554948i | ||||
\(183\) | −5.63129 | −0.416277 | ||||||||
\(184\) | 4.02280 | − | 8.53337i | 0.296565 | − | 0.629089i | ||||
\(185\) | 3.05535 | 0.224634 | ||||||||
\(186\) | 2.71269 | + | 0.796518i | 0.198904 | + | 0.0584035i | ||||
\(187\) | 8.22731 | − | 9.49482i | 0.601641 | − | 0.694330i | ||||
\(188\) | 7.74025 | + | 4.97436i | 0.564516 | + | 0.362792i | ||||
\(189\) | 1.98428 | − | 13.8010i | 0.144335 | − | 1.00387i | ||||
\(190\) | −5.97942 | + | 3.84274i | −0.433792 | + | 0.278781i | ||||
\(191\) | 3.41196 | + | 7.47114i | 0.246880 | + | 0.540593i | 0.991985 | − | 0.126355i | \(-0.0403278\pi\) |
−0.745105 | + | 0.666948i | \(0.767600\pi\) | |||||||
\(192\) | −1.93777 | − | 2.23631i | −0.139847 | − | 0.161392i | ||||
\(193\) | 1.90701 | + | 13.2635i | 0.137269 | + | 0.954730i | 0.935739 | + | 0.352694i | \(0.114734\pi\) |
−0.798469 | + | 0.602036i | \(0.794356\pi\) | |||||||
\(194\) | −0.748016 | + | 1.63793i | −0.0537044 | + | 0.117596i | ||||
\(195\) | −7.04560 | + | 2.06877i | −0.504546 | + | 0.148148i | ||||
\(196\) | 0.367987 | − | 0.108051i | 0.0262848 | − | 0.00771792i | ||||
\(197\) | −5.23571 | + | 11.4646i | −0.373029 | + | 0.816820i | 0.626278 | + | 0.779600i | \(0.284578\pi\) |
−0.999307 | + | 0.0372201i | \(0.988150\pi\) | |||||||
\(198\) | −1.63279 | − | 11.3563i | −0.116038 | − | 0.807059i | ||||
\(199\) | 12.5104 | + | 14.4378i | 0.886839 | + | 1.02347i | 0.999555 | + | 0.0298392i | \(0.00949953\pi\) |
−0.112716 | + | 0.993627i | \(0.535955\pi\) | |||||||
\(200\) | −0.817178 | − | 1.78937i | −0.0577832 | − | 0.126528i | ||||
\(201\) | 6.42457 | − | 4.12882i | 0.453154 | − | 0.291225i | ||||
\(202\) | 2.11319 | − | 14.6976i | 0.148684 | − | 1.03412i | ||||
\(203\) | −17.6398 | − | 11.3364i | −1.23807 | − | 0.795662i | ||||
\(204\) | −1.89085 | + | 2.18216i | −0.132386 | + | 0.152782i | ||||
\(205\) | −0.0236781 | − | 0.00695251i | −0.00165375 | − | 0.000485585i | ||||
\(206\) | −10.3862 | −0.723643 | ||||||||
\(207\) | 6.45097 | − | 4.03612i | 0.448373 | − | 0.280529i | ||||
\(208\) | 30.7069 | 2.12914 | ||||||||
\(209\) | 17.4199 | + | 5.11495i | 1.20496 | + | 0.353809i | ||||
\(210\) | 3.34933 | − | 3.86534i | 0.231126 | − | 0.266734i | ||||
\(211\) | −13.3345 | − | 8.56958i | −0.917987 | − | 0.589954i | −0.00591408 | − | 0.999983i | \(-0.501883\pi\) |
−0.912073 | + | 0.410028i | \(0.865519\pi\) | |||||||
\(212\) | 0.486386 | − | 3.38289i | 0.0334051 | − | 0.232338i | ||||
\(213\) | 9.40564 | − | 6.04464i | 0.644464 | − | 0.414172i | ||||
\(214\) | 1.79011 | + | 3.91979i | 0.122369 | + | 0.267951i | ||||
\(215\) | −4.65623 | − | 5.37358i | −0.317553 | − | 0.366475i | ||||
\(216\) | −1.52652 | − | 10.6172i | −0.103866 | − | 0.722407i | ||||
\(217\) | −1.50142 | + | 3.28765i | −0.101923 | + | 0.223180i | ||||
\(218\) | −23.4053 | + | 6.87240i | −1.58520 | + | 0.465458i | ||||
\(219\) | 10.6306 | − | 3.12144i | 0.718352 | − | 0.210927i | ||||
\(220\) | 1.48328 | − | 3.24794i | 0.100003 | − | 0.218976i | ||||
\(221\) | 2.56974 | + | 17.8729i | 0.172859 | + | 1.20226i | ||||
\(222\) | 4.00206 | + | 4.61863i | 0.268601 | + | 0.309982i | ||||
\(223\) | 11.1793 | + | 24.4791i | 0.748618 | + | 1.63924i | 0.768833 | + | 0.639449i | \(0.220838\pi\) |
−0.0202154 | + | 0.999796i | \(0.506435\pi\) | |||||||
\(224\) | −9.52965 | + | 6.12433i | −0.636726 | + | 0.409199i | ||||
\(225\) | 0.225811 | − | 1.57055i | 0.0150541 | − | 0.104703i | ||||
\(226\) | 19.9232 | + | 12.8039i | 1.32527 | + | 0.851702i | ||||
\(227\) | −10.9945 | + | 12.6883i | −0.729729 | + | 0.842152i | −0.992441 | − | 0.122722i | \(-0.960837\pi\) |
0.262712 | + | 0.964874i | \(0.415383\pi\) | |||||||
\(228\) | −4.00356 | − | 1.17555i | −0.265142 | − | 0.0778527i | ||||
\(229\) | −18.9086 | −1.24952 | −0.624759 | − | 0.780818i | \(-0.714803\pi\) | ||||
−0.624759 | + | 0.780818i | \(0.714803\pi\) | |||||||
\(230\) | 8.06843 | + | 0.0978293i | 0.532016 | + | 0.00645067i | ||||
\(231\) | −13.0642 | −0.859559 | ||||||||
\(232\) | −15.4778 | − | 4.54469i | −1.01617 | − | 0.298373i | ||||
\(233\) | 13.8931 | − | 16.0335i | 0.910169 | − | 1.05039i | −0.0883554 | − | 0.996089i | \(-0.528161\pi\) |
0.998525 | − | 0.0543021i | \(-0.0172934\pi\) | |||||||
\(234\) | 13.8720 | + | 8.91496i | 0.906838 | + | 0.582789i | ||||
\(235\) | 1.57604 | − | 10.9616i | 0.102809 | − | 0.715054i | ||||
\(236\) | −1.01260 | + | 0.650756i | −0.0659144 | + | 0.0423606i | ||||
\(237\) | 1.12972 | + | 2.47374i | 0.0733833 | + | 0.160687i | ||||
\(238\) | −8.23608 | − | 9.50495i | −0.533866 | − | 0.616114i | ||||
\(239\) | −3.49661 | − | 24.3195i | −0.226177 | − | 1.57310i | −0.713996 | − | 0.700150i | \(-0.753116\pi\) |
0.487819 | − | 0.872945i | \(-0.337793\pi\) | |||||||
\(240\) | 2.45514 | − | 5.37601i | 0.158479 | − | 0.347020i | ||||
\(241\) | 25.2971 | − | 7.42790i | 1.62953 | − | 0.478473i | 0.665973 | − | 0.745976i | \(-0.268017\pi\) |
0.963557 | + | 0.267503i | \(0.0861984\pi\) | |||||||
\(242\) | −12.0587 | + | 3.54075i | −0.775161 | + | 0.227608i | ||||
\(243\) | 5.94494 | − | 13.0176i | 0.381368 | − | 0.835079i | ||||
\(244\) | 0.560084 | + | 3.89547i | 0.0358557 | + | 0.249382i | ||||
\(245\) | −0.302293 | − | 0.348865i | −0.0193128 | − | 0.0222881i | ||||
\(246\) | −0.0205051 | − | 0.0448998i | −0.00130735 | − | 0.00286271i | ||||
\(247\) | −21.9513 | + | 14.1073i | −1.39673 | + | 0.897624i | ||||
\(248\) | −0.395703 | + | 2.75217i | −0.0251272 | + | 0.174763i | ||||
\(249\) | 6.18583 | + | 3.97539i | 0.392011 | + | 0.251930i | ||||
\(250\) | 1.10181 | − | 1.27155i | 0.0696844 | − | 0.0804201i | ||||
\(251\) | 4.09838 | + | 1.20339i | 0.258687 | + | 0.0759575i | 0.408505 | − | 0.912756i | \(-0.366050\pi\) |
−0.149817 | + | 0.988714i | \(0.547869\pi\) | |||||||
\(252\) | −3.37087 | −0.212345 | ||||||||
\(253\) | −13.3073 | − | 15.7390i | −0.836624 | − | 0.989505i | ||||
\(254\) | −25.5978 | −1.60615 | ||||||||
\(255\) | 3.33456 | + | 0.979115i | 0.208818 | + | 0.0613146i | ||||
\(256\) | −11.1165 | + | 12.8291i | −0.694782 | + | 0.801821i | ||||
\(257\) | −0.255486 | − | 0.164191i | −0.0159368 | − | 0.0102419i | 0.532648 | − | 0.846337i | \(-0.321197\pi\) |
−0.548585 | + | 0.836095i | \(0.684833\pi\) | |||||||
\(258\) | 2.02400 | − | 14.0772i | 0.126009 | − | 0.876409i | ||||
\(259\) | −6.57239 | + | 4.22382i | −0.408388 | + | 0.262455i | ||||
\(260\) | 2.13183 | + | 4.66807i | 0.132211 | + | 0.289501i | ||||
\(261\) | −8.52072 | − | 9.83344i | −0.527420 | − | 0.608675i | ||||
\(262\) | 2.09870 | + | 14.5968i | 0.129658 | + | 0.901794i | ||||
\(263\) | 0.668046 | − | 1.46282i | 0.0411935 | − | 0.0902012i | −0.887916 | − | 0.460005i | \(-0.847848\pi\) |
0.929110 | + | 0.369804i | \(0.120575\pi\) | |||||||
\(264\) | −9.64324 | + | 2.83151i | −0.593500 | + | 0.174267i | ||||
\(265\) | −3.94694 | + | 1.15893i | −0.242459 | + | 0.0711922i | ||||
\(266\) | 7.55004 | − | 16.5323i | 0.462923 | − | 1.01366i | ||||
\(267\) | 2.50825 | + | 17.4453i | 0.153503 | + | 1.06763i | ||||
\(268\) | −3.49511 | − | 4.03358i | −0.213498 | − | 0.246390i | ||||
\(269\) | −3.31470 | − | 7.25818i | −0.202101 | − | 0.442539i | 0.781259 | − | 0.624207i | \(-0.214578\pi\) |
−0.983360 | + | 0.181668i | \(0.941850\pi\) | |||||||
\(270\) | 7.71794 | − | 4.96002i | 0.469699 | − | 0.301857i | ||||
\(271\) | −1.31832 | + | 9.16909i | −0.0800820 | + | 0.556982i | 0.909795 | + | 0.415057i | \(0.136238\pi\) |
−0.989877 | + | 0.141925i | \(0.954671\pi\) | |||||||
\(272\) | −12.2260 | − | 7.85716i | −0.741309 | − | 0.476410i | ||||
\(273\) | 12.2959 | − | 14.1902i | 0.744182 | − | 0.858832i | ||||
\(274\) | −4.33871 | − | 1.27396i | −0.262111 | − | 0.0769628i | ||||
\(275\) | −4.29763 | −0.259157 | ||||||||
\(276\) | 3.05837 | + | 3.61725i | 0.184092 | + | 0.217733i | ||||
\(277\) | −27.9622 | −1.68009 | −0.840044 | − | 0.542518i | \(-0.817471\pi\) | ||||
−0.840044 | + | 0.542518i | \(0.817471\pi\) | |||||||
\(278\) | −9.94941 | − | 2.92141i | −0.596726 | − | 0.175215i | ||||
\(279\) | −1.46868 | + | 1.69495i | −0.0879278 | + | 0.101474i | ||||
\(280\) | 4.23152 | + | 2.71943i | 0.252882 | + | 0.162517i | ||||
\(281\) | −1.12487 | + | 7.82362i | −0.0671039 | + | 0.466718i | 0.928368 | + | 0.371662i | \(0.121212\pi\) |
−0.995472 | + | 0.0950557i | \(0.969697\pi\) | |||||||
\(282\) | 18.6345 | − | 11.9756i | 1.10967 | − | 0.713139i | ||||
\(283\) | 2.20580 | + | 4.83003i | 0.131121 | + | 0.287116i | 0.963793 | − | 0.266651i | \(-0.0859172\pi\) |
−0.832672 | + | 0.553767i | \(0.813190\pi\) | |||||||
\(284\) | −5.11688 | − | 5.90520i | −0.303631 | − | 0.350409i | ||||
\(285\) | 0.714731 | + | 4.97106i | 0.0423370 | + | 0.294460i | ||||
\(286\) | 18.5536 | − | 40.6267i | 1.09710 | − | 2.40230i | ||||
\(287\) | 0.0605455 | − | 0.0177778i | 0.00357389 | − | 0.00104939i | ||||
\(288\) | −6.74452 | + | 1.98037i | −0.397425 | + | 0.116694i | ||||
\(289\) | −3.51195 | + | 7.69010i | −0.206585 | + | 0.452359i | ||||
\(290\) | −1.96354 | − | 13.6567i | −0.115303 | − | 0.801950i | ||||
\(291\) | 0.833178 | + | 0.961539i | 0.0488418 | + | 0.0563664i | ||||
\(292\) | −3.21658 | − | 7.04333i | −0.188236 | − | 0.412180i | ||||
\(293\) | −5.50895 | + | 3.54039i | −0.321836 | + | 0.206832i | −0.691576 | − | 0.722304i | \(-0.743083\pi\) |
0.369740 | + | 0.929135i | \(0.379447\pi\) | |||||||
\(294\) | 0.131402 | − | 0.913923i | 0.00766354 | − | 0.0533011i | ||||
\(295\) | 1.21878 | + | 0.783260i | 0.0709599 | + | 0.0456031i | ||||
\(296\) | −3.93590 | + | 4.54228i | −0.228770 | + | 0.264014i | ||||
\(297\) | −22.4848 | − | 6.60213i | −1.30470 | − | 0.383094i | ||||
\(298\) | 35.4859 | 2.05565 | ||||||||
\(299\) | 29.6204 | + | 0.359146i | 1.71299 | + | 0.0207700i | ||||
\(300\) | 0.987710 | 0.0570254 | ||||||||
\(301\) | 17.4447 | + | 5.12222i | 1.00549 | + | 0.295240i | ||||
\(302\) | −21.1112 | + | 24.3637i | −1.21482 | + | 1.40197i | ||||
\(303\) | −8.82624 | − | 5.67228i | −0.507054 | − | 0.325864i | ||||
\(304\) | 2.98884 | − | 20.7878i | 0.171422 | − | 1.19226i | ||||
\(305\) | 3.98490 | − | 2.56094i | 0.228175 | − | 0.146639i | ||||
\(306\) | −3.24200 | − | 7.09900i | −0.185333 | − | 0.405823i | ||||
\(307\) | 3.44529 | + | 3.97607i | 0.196633 | + | 0.226926i | 0.845500 | − | 0.533975i | \(-0.179302\pi\) |
−0.648867 | + | 0.760902i | \(0.724757\pi\) | |||||||
\(308\) | 1.29935 | + | 9.03720i | 0.0740375 | + | 0.514942i | ||||
\(309\) | −3.04860 | + | 6.67551i | −0.173429 | + | 0.379756i | ||||
\(310\) | −2.28183 | + | 0.670006i | −0.129599 | + | 0.0380538i | ||||
\(311\) | −5.70257 | + | 1.67442i | −0.323363 | + | 0.0949479i | −0.439385 | − | 0.898299i | \(-0.644804\pi\) |
0.116022 | + | 0.993247i | \(0.462986\pi\) | |||||||
\(312\) | 6.00058 | − | 13.1394i | 0.339716 | − | 0.743874i | ||||
\(313\) | 0.116785 | + | 0.812258i | 0.00660108 | + | 0.0459115i | 0.992856 | − | 0.119321i | \(-0.0380717\pi\) |
−0.986255 | + | 0.165232i | \(0.947163\pi\) | |||||||
\(314\) | 13.5839 | + | 15.6766i | 0.766582 | + | 0.884683i | ||||
\(315\) | 1.68544 | + | 3.69059i | 0.0949636 | + | 0.207941i | ||||
\(316\) | 1.59886 | − | 1.02753i | 0.0899430 | − | 0.0578029i | ||||
\(317\) | 1.22138 | − | 8.49491i | 0.0685997 | − | 0.477122i | −0.926343 | − | 0.376680i | \(-0.877065\pi\) |
0.994943 | − | 0.100441i | \(-0.0320254\pi\) | |||||||
\(318\) | −6.92181 | − | 4.44838i | −0.388156 | − | 0.249453i | ||||
\(319\) | −23.0787 | + | 26.6342i | −1.29216 | + | 1.49123i | ||||
\(320\) | 2.38825 | + | 0.701252i | 0.133507 | + | 0.0392012i | ||||
\(321\) | 3.04479 | 0.169944 | ||||||||
\(322\) | −17.4913 | + | 10.9436i | −0.974752 | + | 0.609864i | ||||
\(323\) | 12.3496 | 0.687153 | ||||||||
\(324\) | 1.37296 | + | 0.403138i | 0.0762756 | + | 0.0223965i | ||||
\(325\) | 4.04490 | − | 4.66807i | 0.224371 | − | 0.258938i | ||||
\(326\) | −4.19741 | − | 2.69751i | −0.232473 | − | 0.149401i | ||||
\(327\) | −2.45291 | + | 17.0604i | −0.135646 | + | 0.943441i | ||||
\(328\) | 0.0408382 | − | 0.0262451i | 0.00225491 | − | 0.00144914i | ||||
\(329\) | 11.7634 | + | 25.7583i | 0.648538 | + | 1.42010i | ||||
\(330\) | −5.62927 | − | 6.49653i | −0.309881 | − | 0.357622i | ||||
\(331\) | 0.0938038 | + | 0.652420i | 0.00515593 | + | 0.0358602i | 0.992237 | − | 0.124361i | \(-0.0396882\pi\) |
−0.987081 | + | 0.160222i | \(0.948779\pi\) | |||||||
\(332\) | 2.13476 | − | 4.67447i | 0.117160 | − | 0.256545i | ||||
\(333\) | −4.65155 | + | 1.36582i | −0.254903 | + | 0.0748464i | ||||
\(334\) | −2.81009 | + | 0.825118i | −0.153761 | + | 0.0451484i | ||||
\(335\) | −2.66859 | + | 5.84340i | −0.145801 | + | 0.319259i | ||||
\(336\) | 2.15070 | + | 14.9584i | 0.117330 | + | 0.816050i | ||||
\(337\) | 20.4256 | + | 23.5723i | 1.11265 | + | 1.28407i | 0.955011 | + | 0.296571i | \(0.0958431\pi\) |
0.157640 | + | 0.987497i | \(0.449611\pi\) | |||||||
\(338\) | 17.5797 | + | 38.4943i | 0.956212 | + | 2.09381i | ||||
\(339\) | 14.0773 | − | 9.04695i | 0.764575 | − | 0.491363i | ||||
\(340\) | 0.345654 | − | 2.40408i | 0.0187457 | − | 0.130379i | ||||
\(341\) | 5.11023 | + | 3.28415i | 0.276735 | + | 0.177847i | ||||
\(342\) | 7.38543 | − | 8.52324i | 0.399358 | − | 0.460884i | ||||
\(343\) | 18.3067 | + | 5.37533i | 0.988468 | + | 0.290241i | ||||
\(344\) | 13.9869 | 0.754121 | ||||||||
\(345\) | 2.43115 | − | 5.15707i | 0.130889 | − | 0.277648i | ||||
\(346\) | −26.9600 | −1.44938 | ||||||||
\(347\) | 11.8807 | + | 3.48849i | 0.637790 | + | 0.187272i | 0.584612 | − | 0.811313i | \(-0.301247\pi\) |
0.0531778 | + | 0.998585i | \(0.483065\pi\) | |||||||
\(348\) | 5.30409 | − | 6.12125i | 0.284329 | − | 0.328133i | ||||
\(349\) | −2.13918 | − | 1.37477i | −0.114508 | − | 0.0735897i | 0.482133 | − | 0.876098i | \(-0.339862\pi\) |
−0.596641 | + | 0.802508i | \(0.703498\pi\) | |||||||
\(350\) | −0.612269 | + | 4.25843i | −0.0327272 | + | 0.227622i | ||||
\(351\) | 28.3337 | − | 18.2090i | 1.51234 | − | 0.971923i | ||||
\(352\) | 7.90908 | + | 17.3185i | 0.421556 | + | 0.923078i | ||||
\(353\) | −1.58730 | − | 1.83184i | −0.0844836 | − | 0.0974993i | 0.711934 | − | 0.702247i | \(-0.247820\pi\) |
−0.796417 | + | 0.604747i | \(0.793274\pi\) | |||||||
\(354\) | 0.412402 | + | 2.86832i | 0.0219189 | + | 0.152450i | ||||
\(355\) | −3.90685 | + | 8.55480i | −0.207354 | + | 0.454042i | ||||
\(356\) | 11.8184 | − | 3.47019i | 0.626373 | − | 0.183920i | ||||
\(357\) | −8.52656 | + | 2.50362i | −0.451273 | + | 0.132506i | ||||
\(358\) | 3.28349 | − | 7.18984i | 0.173538 | − | 0.379995i | ||||
\(359\) | −2.64132 | − | 18.3708i | −0.139403 | − | 0.969571i | −0.932679 | − | 0.360708i | \(-0.882535\pi\) |
0.793275 | − | 0.608863i | \(-0.208374\pi\) | |||||||
\(360\) | 2.04399 | + | 2.35889i | 0.107728 | + | 0.124324i | ||||
\(361\) | −0.479233 | − | 1.04937i | −0.0252228 | − | 0.0552302i | ||||
\(362\) | 16.0186 | − | 10.2945i | 0.841917 | − | 0.541067i | ||||
\(363\) | −1.26377 | + | 8.78971i | −0.0663307 | + | 0.461340i | ||||
\(364\) | −11.0391 | − | 7.09439i | −0.578606 | − | 0.371847i | ||||
\(365\) | −6.10308 | + | 7.04333i | −0.319450 | + | 0.368665i | ||||
\(366\) | 9.09089 | + | 2.66933i | 0.475189 | + | 0.139528i | ||||
\(367\) | 18.8515 | 0.984042 | 0.492021 | − | 0.870583i | \(-0.336258\pi\) | ||||
0.492021 | + | 0.870583i | \(0.336258\pi\) | |||||||
\(368\) | −15.8304 | + | 17.8279i | −0.825219 | + | 0.929343i | ||||
\(369\) | 0.0391561 | 0.00203839 | ||||||||
\(370\) | −4.93242 | − | 1.44829i | −0.256424 | − | 0.0752929i | ||||
\(371\) | 6.88815 | − | 7.94935i | 0.357615 | − | 0.412710i | ||||
\(372\) | −1.17447 | − | 0.754784i | −0.0608933 | − | 0.0391337i | ||||
\(373\) | −1.28430 | + | 8.93252i | −0.0664987 | + | 0.462508i | 0.929179 | + | 0.369631i | \(0.120516\pi\) |
−0.995678 | + | 0.0928779i | \(0.970393\pi\) | |||||||
\(374\) | −17.7825 | + | 11.4281i | −0.919511 | + | 0.590934i | ||||
\(375\) | −0.493855 | − | 1.08139i | −0.0255026 | − | 0.0558428i | ||||
\(376\) | 14.2659 | + | 16.4637i | 0.735708 | + | 0.849052i | ||||
\(377\) | −7.20845 | − | 50.1359i | −0.371254 | − | 2.58213i | ||||
\(378\) | −9.74522 | + | 21.3391i | −0.501240 | + | 1.09756i | ||||
\(379\) | −15.1456 | + | 4.44716i | −0.777980 | + | 0.228435i | −0.646531 | − | 0.762888i | \(-0.723781\pi\) |
−0.131449 | + | 0.991323i | \(0.541963\pi\) | |||||||
\(380\) | 3.36767 | − | 0.988836i | 0.172758 | − | 0.0507262i | ||||
\(381\) | −7.51354 | + | 16.4524i | −0.384930 | + | 0.842880i | ||||
\(382\) | −1.96666 | − | 13.6784i | −0.100623 | − | 0.699847i | ||||
\(383\) | −23.0208 | − | 26.5675i | −1.17631 | − | 1.35753i | −0.920469 | − | 0.390815i | \(-0.872193\pi\) |
−0.255841 | − | 0.966719i | \(-0.582352\pi\) | |||||||
\(384\) | 6.44387 | + | 14.1101i | 0.328837 | + | 0.720053i | ||||
\(385\) | 9.24467 | − | 5.94119i | 0.471152 | − | 0.302791i | ||||
\(386\) | 3.20856 | − | 22.3160i | 0.163311 | − | 1.13585i | ||||
\(387\) | 9.49091 | + | 6.09943i | 0.482450 | + | 0.310052i | ||||
\(388\) | 0.582281 | − | 0.671988i | 0.0295608 | − | 0.0341150i | ||||
\(389\) | 12.8155 | + | 3.76297i | 0.649772 | + | 0.190790i | 0.589976 | − | 0.807420i | \(-0.299137\pi\) |
0.0597952 | + | 0.998211i | \(0.480955\pi\) | |||||||
\(390\) | 12.3547 | 0.625606 | ||||||||
\(391\) | −11.7015 | − | 7.72214i | −0.591770 | − | 0.390526i | ||||
\(392\) | 0.908058 | 0.0458638 | ||||||||
\(393\) | 9.99777 | + | 2.93561i | 0.504321 | + | 0.148082i | ||||
\(394\) | 13.8867 | − | 16.0261i | 0.699603 | − | 0.807385i | ||||
\(395\) | −1.92442 | − | 1.23675i | −0.0968279 | − | 0.0622275i | ||||
\(396\) | −0.806281 | + | 5.60781i | −0.0405172 | + | 0.281803i | ||||
\(397\) | −5.15385 | + | 3.31218i | −0.258665 | + | 0.166234i | −0.663546 | − | 0.748136i | \(-0.730949\pi\) |
0.404881 | + | 0.914369i | \(0.367313\pi\) | |||||||
\(398\) | −13.3525 | − | 29.2378i | −0.669298 | − | 1.46556i | ||||
\(399\) | −8.40962 | − | 9.70522i | −0.421008 | − | 0.485869i | ||||
\(400\) | 0.707501 | + | 4.92078i | 0.0353751 | + | 0.246039i | ||||
\(401\) | 13.0337 | − | 28.5399i | 0.650874 | − | 1.42521i | −0.239914 | − | 0.970794i | \(-0.577119\pi\) |
0.890787 | − | 0.454420i | \(-0.150153\pi\) | |||||||
\(402\) | −12.3287 | + | 3.62002i | −0.614898 | + | 0.180550i | ||||
\(403\) | −8.37694 | + | 2.45969i | −0.417285 | + | 0.122526i | ||||
\(404\) | −3.04597 | + | 6.66975i | −0.151543 | + | 0.331832i | ||||
\(405\) | −0.245106 | − | 1.70475i | −0.0121794 | − | 0.0847098i | ||||
\(406\) | 23.1033 | + | 26.6626i | 1.14660 | + | 1.32324i | ||||
\(407\) | 5.45472 | + | 11.9442i | 0.270381 | + | 0.592051i | ||||
\(408\) | −5.75120 | + | 3.69607i | −0.284727 | + | 0.182983i | ||||
\(409\) | 4.50395 | − | 31.3257i | 0.222706 | − | 1.54895i | −0.505033 | − | 0.863100i | \(-0.668520\pi\) |
0.727739 | − | 0.685854i | \(-0.240571\pi\) | |||||||
\(410\) | 0.0349292 | + | 0.0224476i | 0.00172503 | + | 0.00110861i | ||||
\(411\) | −2.09232 | + | 2.41467i | −0.103207 | + | 0.119107i | ||||
\(412\) | 4.92102 | + | 1.44494i | 0.242441 | + | 0.0711872i | ||||
\(413\) | −3.70452 | −0.182288 | ||||||||
\(414\) | −12.3273 | + | 3.45785i | −0.605855 | + | 0.169944i | ||||
\(415\) | −6.18520 | −0.303620 | ||||||||
\(416\) | −26.2552 | − | 7.70922i | −1.28727 | − | 0.377976i | ||||
\(417\) | −4.79805 | + | 5.53725i | −0.234962 | + | 0.271160i | ||||
\(418\) | −25.6973 | − | 16.5147i | −1.25690 | − | 0.807759i | ||||
\(419\) | −2.50887 | + | 17.4496i | −0.122567 | + | 0.852469i | 0.832065 | + | 0.554679i | \(0.187159\pi\) |
−0.954631 | + | 0.297790i | \(0.903750\pi\) | |||||||
\(420\) | −2.12467 | + | 1.36544i | −0.103673 | + | 0.0666268i | ||||
\(421\) | −11.8533 | − | 25.9551i | −0.577695 | − | 1.26497i | −0.942598 | − | 0.333930i | \(-0.891625\pi\) |
0.364903 | − | 0.931045i | \(-0.381102\pi\) | |||||||
\(422\) | 17.4645 | + | 20.1551i | 0.850160 | + | 0.981136i | ||||
\(423\) | 2.50070 | + | 17.3927i | 0.121588 | + | 0.845663i | ||||
\(424\) | 3.36152 | − | 7.36070i | 0.163250 | − | 0.357467i | ||||
\(425\) | −2.80493 | + | 0.823600i | −0.136059 | + | 0.0399505i | ||||
\(426\) | −18.0493 | + | 5.29975i | −0.874491 | + | 0.256774i | ||||
\(427\) | −5.03162 | + | 11.0177i | −0.243497 | + | 0.533185i | ||||
\(428\) | −0.302832 | − | 2.10625i | −0.0146380 | − | 0.101809i | ||||
\(429\) | −20.6659 | − | 23.8497i | −0.997760 | − | 1.15148i | ||||
\(430\) | 4.96964 | + | 10.8820i | 0.239657 | + | 0.524776i | ||||
\(431\) | −33.0639 | + | 21.2489i | −1.59263 | + | 1.02352i | −0.621982 | + | 0.783032i | \(0.713672\pi\) |
−0.970651 | + | 0.240492i | \(0.922691\pi\) | |||||||
\(432\) | −3.85785 | + | 26.8319i | −0.185611 | + | 1.29095i | ||||
\(433\) | −9.85132 | − | 6.33106i | −0.473424 | − | 0.304251i | 0.282085 | − | 0.959389i | \(-0.408974\pi\) |
−0.755509 | + | 0.655138i | \(0.772610\pi\) | |||||||
\(434\) | 3.98222 | − | 4.59573i | 0.191153 | − | 0.220602i | ||||
\(435\) | −9.35388 | − | 2.74655i | −0.448484 | − | 0.131687i | ||||
\(436\) | 12.0456 | 0.576878 | ||||||||
\(437\) | 3.12622 | − | 20.0173i | 0.149547 | − | 0.957559i | ||||
\(438\) | −18.6412 | −0.890712 | ||||||||
\(439\) | −9.25815 | − | 2.71844i | −0.441867 | − | 0.129744i | 0.0532284 | − | 0.998582i | \(-0.483049\pi\) |
−0.495096 | + | 0.868838i | \(0.664867\pi\) | |||||||
\(440\) | 5.53621 | − | 6.38913i | 0.263929 | − | 0.304590i | ||||
\(441\) | 0.616170 | + | 0.395989i | 0.0293414 | + | 0.0188566i | ||||
\(442\) | 4.32360 | − | 30.0713i | 0.205653 | − | 1.43035i | ||||
\(443\) | −8.48657 | + | 5.45399i | −0.403209 | + | 0.259127i | −0.726491 | − | 0.687176i | \(-0.758850\pi\) |
0.323282 | + | 0.946303i | \(0.395214\pi\) | |||||||
\(444\) | −1.25364 | − | 2.74509i | −0.0594951 | − | 0.130276i | ||||
\(445\) | −9.70852 | − | 11.2042i | −0.460228 | − | 0.531131i | ||||
\(446\) | −6.44373 | − | 44.8172i | −0.305120 | − | 2.12215i | ||||
\(447\) | 10.4159 | − | 22.8077i | 0.492657 | − | 1.07877i | ||||
\(448\) | −6.10681 | + | 1.79312i | −0.288519 | + | 0.0847170i | ||||
\(449\) | −20.9433 | + | 6.14952i | −0.988377 | + | 0.290214i | −0.735678 | − | 0.677331i | \(-0.763136\pi\) |
−0.252699 | + | 0.967545i | \(0.581318\pi\) | |||||||
\(450\) | −1.10901 | + | 2.42838i | −0.0522791 | + | 0.114475i | ||||
\(451\) | −0.0150933 | − | 0.104976i | −0.000710716 | − | 0.00494314i | ||||
\(452\) | −7.65839 | − | 8.83825i | −0.360220 | − | 0.415716i | ||||
\(453\) | 9.46253 | + | 20.7200i | 0.444588 | + | 0.973513i | ||||
\(454\) | 23.7634 | − | 15.2718i | 1.11527 | − | 0.716742i | ||||
\(455\) | −2.24773 | + | 15.6333i | −0.105375 | + | 0.732901i | ||||
\(456\) | −8.31101 | − | 5.34116i | −0.389199 | − | 0.250123i | ||||
\(457\) | 6.97941 | − | 8.05467i | 0.326483 | − | 0.376781i | −0.568651 | − | 0.822579i | \(-0.692534\pi\) |
0.895134 | + | 0.445798i | \(0.147080\pi\) | |||||||
\(458\) | 30.5252 | + | 8.96301i | 1.42635 | + | 0.418814i | ||||
\(459\) | −15.9403 | −0.744030 | ||||||||
\(460\) | −3.80923 | − | 1.16884i | −0.177606 | − | 0.0544974i | ||||
\(461\) | 40.1690 | 1.87086 | 0.935429 | − | 0.353516i | \(-0.115014\pi\) | ||||
0.935429 | + | 0.353516i | \(0.115014\pi\) | |||||||
\(462\) | 21.0902 | + | 6.19264i | 0.981205 | + | 0.288108i | ||||
\(463\) | 6.64251 | − | 7.66586i | 0.308704 | − | 0.356263i | −0.580105 | − | 0.814542i | \(-0.696988\pi\) |
0.888808 | + | 0.458279i | \(0.151534\pi\) | |||||||
\(464\) | 34.2955 | + | 22.0404i | 1.59213 | + | 1.02320i | ||||
\(465\) | −0.239140 | + | 1.66325i | −0.0110898 | + | 0.0771315i | ||||
\(466\) | −30.0286 | + | 19.2982i | −1.39105 | + | 0.893972i | ||||
\(467\) | −7.03002 | − | 15.3936i | −0.325311 | − | 0.712331i | 0.674349 | − | 0.738413i | \(-0.264424\pi\) |
−0.999660 | + | 0.0260816i | \(0.991697\pi\) | |||||||
\(468\) | −5.33231 | − | 6.15381i | −0.246486 | − | 0.284460i | ||||
\(469\) | −2.33768 | − | 16.2589i | −0.107944 | − | 0.750768i | ||||
\(470\) | −7.74025 | + | 16.9488i | −0.357031 | + | 0.781789i | ||||
\(471\) | 14.0630 | − | 4.12926i | 0.647987 | − | 0.190266i | ||||
\(472\) | −2.73447 | + | 0.802913i | −0.125864 | + | 0.0369571i | ||||
\(473\) | 12.6940 | − | 27.7959i | 0.583669 | − | 1.27806i | ||||
\(474\) | −0.651173 | − | 4.52901i | −0.0299094 | − | 0.208024i | ||||
\(475\) | −2.76646 | − | 3.19266i | −0.126934 | − | 0.146489i | ||||
\(476\) | 2.57994 | + | 5.64928i | 0.118251 | + | 0.258934i | ||||
\(477\) | 5.49086 | − | 3.52876i | 0.251409 | − | 0.161571i | ||||
\(478\) | −5.88307 | + | 40.9177i | −0.269085 | + | 1.87153i | ||||
\(479\) | −6.72193 | − | 4.31992i | −0.307133 | − | 0.197382i | 0.377990 | − | 0.925810i | \(-0.376615\pi\) |
−0.685123 | + | 0.728427i | \(0.740252\pi\) | |||||||
\(480\) | −3.44890 | + | 3.98024i | −0.157420 | + | 0.181672i | ||||
\(481\) | −18.1076 | − | 5.31688i | −0.825637 | − | 0.242429i | ||||
\(482\) | −44.3594 | −2.02052 | ||||||||
\(483\) | 1.89965 | + | 14.4543i | 0.0864370 | + | 0.657694i | ||||
\(484\) | 6.20602 | 0.282092 | ||||||||
\(485\) | −1.02687 | − | 0.301515i | −0.0466275 | − | 0.0136911i | ||||
\(486\) | −15.7678 | + | 18.1970i | −0.715241 | + | 0.825433i | ||||
\(487\) | −7.46863 | − | 4.79980i | −0.338436 | − | 0.217500i | 0.360372 | − | 0.932809i | \(-0.382650\pi\) |
−0.698808 | + | 0.715309i | \(0.746286\pi\) | |||||||
\(488\) | −1.32610 | + | 9.22321i | −0.0600296 | + | 0.417515i | ||||
\(489\) | −2.96580 | + | 1.90600i | −0.134118 | + | 0.0861924i | ||||
\(490\) | 0.322640 | + | 0.706483i | 0.0145754 | + | 0.0319156i | ||||
\(491\) | 13.3407 | + | 15.3960i | 0.602059 | + | 0.694813i | 0.972197 | − | 0.234164i | \(-0.0752352\pi\) |
−0.370139 | + | 0.928977i | \(0.620690\pi\) | |||||||
\(492\) | 0.00346884 | + | 0.0241263i | 0.000156387 | + | 0.00108770i | ||||
\(493\) | −9.95851 | + | 21.8061i | −0.448509 | + | 0.982097i | ||||
\(494\) | 42.1243 | − | 12.3688i | 1.89526 | − | 0.556499i | ||||
\(495\) | 6.54284 | − | 1.92115i | 0.294079 | − | 0.0863493i | ||||
\(496\) | 2.91906 | − | 6.39186i | 0.131070 | − | 0.287003i | ||||
\(497\) | −3.42239 | − | 23.8033i | −0.153515 | − | 1.06772i | ||||
\(498\) | −8.10172 | − | 9.34988i | −0.363047 | − | 0.418978i | ||||
\(499\) | −1.50040 | − | 3.28543i | −0.0671673 | − | 0.147076i | 0.873071 | − | 0.487593i | \(-0.162125\pi\) |
−0.940238 | + | 0.340517i | \(0.889398\pi\) | |||||||
\(500\) | −0.698939 | + | 0.449181i | −0.0312575 | + | 0.0200880i | ||||
\(501\) | −0.294503 | + | 2.04831i | −0.0131574 | + | 0.0915118i | ||||
\(502\) | −6.04581 | − | 3.88540i | −0.269838 | − | 0.173414i | ||||
\(503\) | −14.4614 | + | 16.6893i | −0.644802 | + | 0.744141i | −0.980216 | − | 0.197930i | \(-0.936578\pi\) |
0.335414 | + | 0.942071i | \(0.391124\pi\) | |||||||
\(504\) | −7.65784 | − | 2.24855i | −0.341107 | − | 0.100158i | ||||
\(505\) | 8.82534 | 0.392723 | ||||||||
\(506\) | 14.0221 | + | 31.7163i | 0.623360 | + | 1.40996i | ||||
\(507\) | 29.9013 | 1.32797 | ||||||||
\(508\) | 12.1283 | + | 3.56119i | 0.538106 | + | 0.158002i | ||||
\(509\) | −8.57786 | + | 9.89938i | −0.380207 | + | 0.438782i | −0.913308 | − | 0.407269i | \(-0.866481\pi\) |
0.533101 | + | 0.846051i | \(0.321026\pi\) | |||||||
\(510\) | −4.91904 | − | 3.16128i | −0.217819 | − | 0.139984i | ||||
\(511\) | 3.39145 | − | 23.5881i | 0.150029 | − | 1.04348i | ||||
\(512\) | 2.07369 | − | 1.33268i | 0.0916449 | − | 0.0588966i | ||||
\(513\) | −9.56918 | − | 20.9536i | −0.422490 | − | 0.925123i | ||||
\(514\) | 0.334616 | + | 0.386167i | 0.0147593 | + | 0.0170331i | ||||
\(515\) | −0.878520 | − | 6.11024i | −0.0387122 | − | 0.269249i | ||||
\(516\) | −2.91741 | + | 6.38824i | −0.128432 | + | 0.281226i | ||||
\(517\) | 45.6654 | − | 13.4086i | 2.00836 | − | 0.589708i | ||||
\(518\) | 12.6123 | − | 3.70331i | 0.554154 | − | 0.162714i | ||||
\(519\) | −7.91337 | + | 17.3279i | −0.347359 | + | 0.760609i | ||||
\(520\) | 1.72919 | + | 12.0268i | 0.0758302 | + | 0.527410i | ||||
\(521\) | 19.2278 | + | 22.1900i | 0.842385 | + | 0.972164i | 0.999882 | − | 0.0153557i | \(-0.00488807\pi\) |
−0.157497 | + | 0.987519i | \(0.550343\pi\) | |||||||
\(522\) | 9.09424 | + | 19.9136i | 0.398044 | + | 0.871595i | ||||
\(523\) | 34.5668 | − | 22.2147i | 1.51150 | − | 0.971383i | 0.518271 | − | 0.855216i | \(-0.326576\pi\) |
0.993230 | − | 0.116166i | \(-0.0370605\pi\) | |||||||
\(524\) | 1.03635 | − | 7.20798i | 0.0452732 | − | 0.314882i | ||||
\(525\) | 2.55729 | + | 1.64347i | 0.111609 | + | 0.0717268i | ||||
\(526\) | −1.77186 | + | 2.04484i | −0.0772569 | + | 0.0891592i | ||||
\(527\) | 3.96466 | + | 1.16413i | 0.172703 | + | 0.0507102i | ||||
\(528\) | 25.3994 | 1.10537 | ||||||||
\(529\) | −15.4788 | + | 17.0119i | −0.672992 | + | 0.739649i | ||||
\(530\) | 6.92111 | 0.300634 | ||||||||
\(531\) | −2.20564 | − | 0.647633i | −0.0957164 | − | 0.0281049i | ||||
\(532\) | −5.87721 | + | 6.78267i | −0.254809 | + | 0.294066i | ||||
\(533\) | 0.128230 | + | 0.0824086i | 0.00555427 | + | 0.00356951i | ||||
\(534\) | 4.22015 | − | 29.3518i | 0.182624 | − | 1.27018i | ||||
\(535\) | −2.15460 | + | 1.38468i | −0.0931515 | + | 0.0598649i | ||||
\(536\) | −5.24949 | − | 11.4948i | −0.226743 | − | 0.496499i | ||||
\(537\) | −3.65732 | − | 4.22077i | −0.157825 | − | 0.182140i | ||||
\(538\) | 1.91060 | + | 13.2885i | 0.0823717 | + | 0.572908i | ||||
\(539\) | 0.824120 | − | 1.80457i | 0.0354974 | − | 0.0777284i | ||||
\(540\) | −4.34682 | + | 1.27634i | −0.187057 | + | 0.0549250i | ||||
\(541\) | −1.10909 | + | 0.325658i | −0.0476835 | + | 0.0140011i | −0.305487 | − | 0.952196i | \(-0.598819\pi\) |
0.257804 | + | 0.966197i | \(0.417001\pi\) | |||||||
\(542\) | 6.47453 | − | 14.1772i | 0.278105 | − | 0.608965i | ||||
\(543\) | −1.91473 | − | 13.3172i | −0.0821689 | − | 0.571497i | ||||
\(544\) | 8.48092 | + | 9.78751i | 0.363617 | + | 0.419636i | ||||
\(545\) | −6.02278 | − | 13.1880i | −0.257988 | − | 0.564914i | ||||
\(546\) | −26.5763 | + | 17.0796i | −1.13736 | + | 0.730938i | ||||
\(547\) | −1.18950 | + | 8.27316i | −0.0508594 | + | 0.353735i | 0.948462 | + | 0.316892i | \(0.102639\pi\) |
−0.999321 | + | 0.0368430i | \(0.988270\pi\) | |||||||
\(548\) | 1.87846 | + | 1.20721i | 0.0802437 | + | 0.0515695i | ||||
\(549\) | −4.92192 | + | 5.68020i | −0.210062 | + | 0.242425i | ||||
\(550\) | 6.93790 | + | 2.03715i | 0.295833 | + | 0.0868644i | ||||
\(551\) | −34.6424 | −1.47581 | ||||||||
\(552\) | 4.53502 | + | 10.2576i | 0.193023 | + | 0.436594i | ||||
\(553\) | 5.84934 | 0.248739 | ||||||||
\(554\) | 45.1410 | + | 13.2546i | 1.91786 | + | 0.563133i | ||||
\(555\) | −2.37863 | + | 2.74509i | −0.100967 | + | 0.116522i | ||||
\(556\) | 4.30762 | + | 2.76834i | 0.182684 | + | 0.117404i | ||||
\(557\) | −1.90880 | + | 13.2760i | −0.0808786 | + | 0.562523i | 0.908580 | + | 0.417710i | \(0.137167\pi\) |
−0.989459 | + | 0.144813i | \(0.953742\pi\) | |||||||
\(558\) | 3.17441 | − | 2.04007i | 0.134384 | − | 0.0863630i | ||||
\(559\) | 18.2443 | + | 39.9494i | 0.771651 | + | 1.68968i | ||||
\(560\) | −8.32456 | − | 9.60706i | −0.351777 | − | 0.405972i | ||||
\(561\) | 2.12557 | + | 14.7837i | 0.0897418 | + | 0.624168i | ||||
\(562\) | 5.52446 | − | 12.0969i | 0.233035 | − | 0.510276i | ||||
\(563\) | 16.4757 | − | 4.83769i | 0.694366 | − | 0.203884i | 0.0845408 | − | 0.996420i | \(-0.473058\pi\) |
0.609826 | + | 0.792536i | \(0.291239\pi\) | |||||||
\(564\) | −10.4951 | + | 3.08164i | −0.441924 | + | 0.129761i | ||||
\(565\) | −5.84734 | + | 12.8039i | −0.245999 | + | 0.538664i | ||||
\(566\) | −1.27143 | − | 8.84297i | −0.0534421 | − | 0.371698i | ||||
\(567\) | 2.88395 | + | 3.32826i | 0.121115 | + | 0.139774i | ||||
\(568\) | −7.68530 | − | 16.8285i | −0.322468 | − | 0.706107i | ||||
\(569\) | 5.30575 | − | 3.40980i | 0.222429 | − | 0.142946i | −0.424681 | − | 0.905343i | \(-0.639614\pi\) |
0.647110 | + | 0.762397i | \(0.275977\pi\) | |||||||
\(570\) | 1.20254 | − | 8.36384i | 0.0503688 | − | 0.350323i | ||||
\(571\) | −14.1695 | − | 9.10621i | −0.592977 | − | 0.381083i | 0.209463 | − | 0.977817i | \(-0.432829\pi\) |
−0.802439 | + | 0.596734i | \(0.796465\pi\) | |||||||
\(572\) | −14.4427 | + | 16.6678i | −0.603881 | + | 0.696916i | ||||
\(573\) | −9.36872 | − | 2.75090i | −0.391384 | − | 0.114921i | ||||
\(574\) | −0.106169 | −0.00443140 | ||||||||
\(575\) | 0.624915 | + | 4.75494i | 0.0260607 | + | 0.198295i | ||||
\(576\) | −3.94941 | −0.164559 | ||||||||
\(577\) | 3.97893 | + | 1.16832i | 0.165645 | + | 0.0486378i | 0.363504 | − | 0.931593i | \(-0.381580\pi\) |
−0.197858 | + | 0.980231i | \(0.563399\pi\) | |||||||
\(578\) | 9.31477 | − | 10.7498i | 0.387443 | − | 0.447133i | ||||
\(579\) | −13.4013 | − | 8.61248i | −0.556938 | − | 0.357923i | ||||
\(580\) | −0.969605 | + | 6.74375i | −0.0402607 | + | 0.280019i | ||||
\(581\) | 13.3050 | − | 8.55063i | 0.551986 | − | 0.354740i | ||||
\(582\) | −0.889258 | − | 1.94720i | −0.0368609 | − | 0.0807142i | ||||
\(583\) | −11.5770 | − | 13.3606i | −0.479471 | − | 0.553340i | ||||
\(584\) | −2.60907 | − | 18.1465i | −0.107964 | − | 0.750906i | ||||
\(585\) | −4.07133 | + | 8.91496i | −0.168329 | + | 0.368588i | ||||
\(586\) | 10.5716 | − | 3.10410i | 0.436709 | − | 0.128229i | ||||
\(587\) | 4.97468 | − | 1.46070i | 0.205327 | − | 0.0602895i | −0.177452 | − | 0.984130i | \(-0.556785\pi\) |
0.382779 | + | 0.923840i | \(0.374967\pi\) | |||||||
\(588\) | −0.189405 | + | 0.414738i | −0.00781091 | + | 0.0171035i | ||||
\(589\) | 0.849786 | + | 5.91039i | 0.0350148 | + | 0.243533i | ||||
\(590\) | −1.59626 | − | 1.84218i | −0.0657169 | − | 0.0758413i | ||||
\(591\) | −6.22434 | − | 13.6294i | −0.256035 | − | 0.560638i | ||||
\(592\) | 12.7781 | − | 8.21196i | 0.525175 | − | 0.337510i | ||||
\(593\) | 4.65659 | − | 32.3873i | 0.191223 | − | 1.32999i | −0.637553 | − | 0.770406i | \(-0.720053\pi\) |
0.828776 | − | 0.559580i | \(-0.189037\pi\) | |||||||
\(594\) | 33.1689 | + | 21.3163i | 1.36094 | + | 0.874620i | ||||
\(595\) | 4.89512 | − | 5.64928i | 0.200681 | − | 0.231598i | ||||
\(596\) | −16.8133 | − | 4.93684i | −0.688700 | − | 0.202221i | ||||
\(597\) | −22.7112 | −0.929506 | ||||||||
\(598\) | −47.6476 | − | 14.6204i | −1.94845 | − | 0.597871i | ||||
\(599\) | −4.51653 | −0.184540 | −0.0922702 | − | 0.995734i | \(-0.529412\pi\) | ||||
−0.0922702 | + | 0.995734i | \(0.529412\pi\) | |||||||
\(600\) | 2.24385 | + | 0.658853i | 0.0916047 | + | 0.0268976i | ||||
\(601\) | −29.9912 | + | 34.6117i | −1.22337 | + | 1.41184i | −0.341808 | + | 0.939770i | \(0.611039\pi\) |
−0.881560 | + | 0.472072i | \(0.843506\pi\) | |||||||
\(602\) | −25.7339 | − | 16.5381i | −1.04883 | − | 0.674045i | ||||
\(603\) | 1.45059 | − | 10.0891i | 0.0590727 | − | 0.410859i | ||||
\(604\) | 13.3920 | − | 8.60655i | 0.544915 | − | 0.350195i | ||||
\(605\) | −3.10301 | − | 6.79464i | −0.126155 | − | 0.276241i | ||||
\(606\) | 11.5599 | + | 13.3408i | 0.469589 | + | 0.541935i | ||||
\(607\) | −1.03630 | − | 7.20765i | −0.0420623 | − | 0.292549i | −0.999985 | − | 0.00552246i | \(-0.998242\pi\) |
0.957922 | − | 0.287027i | \(-0.0926670\pi\) | |||||||
\(608\) | −7.77449 | + | 17.0238i | −0.315297 | + | 0.690404i | ||||
\(609\) | 23.9181 | − | 7.02299i | 0.969211 | − | 0.284586i | ||||
\(610\) | −7.64697 | + | 2.24535i | −0.309617 | + | 0.0909117i | ||||
\(611\) | −28.4156 | + | 62.2215i | −1.14957 | + | 2.51721i | ||||
\(612\) | 0.548450 | + | 3.81455i | 0.0221698 | + | 0.154194i | ||||
\(613\) | 18.7818 | + | 21.6753i | 0.758589 | + | 0.875459i | 0.995371 | − | 0.0961041i | \(-0.0306382\pi\) |
−0.236782 | + | 0.971563i | \(0.576093\pi\) | |||||||
\(614\) | −3.67718 | − | 8.05191i | −0.148399 | − | 0.324949i | ||||
\(615\) | 0.0246802 | − | 0.0158610i | 0.000995202 | − | 0.000639577i | ||||
\(616\) | −3.07645 | + | 21.3972i | −0.123954 | + | 0.862116i | ||||
\(617\) | 6.67383 | + | 4.28901i | 0.268678 | + | 0.172669i | 0.668042 | − | 0.744123i | \(-0.267133\pi\) |
−0.399364 | + | 0.916793i | \(0.630769\pi\) | |||||||
\(618\) | 8.08582 | − | 9.33154i | 0.325260 | − | 0.375370i | ||||
\(619\) | −14.4351 | − | 4.23852i | −0.580194 | − | 0.170360i | −0.0215501 | − | 0.999768i | \(-0.506860\pi\) |
−0.558644 | + | 0.829407i | \(0.688678\pi\) | |||||||
\(620\) | 1.17435 | 0.0471629 | ||||||||
\(621\) | −4.03517 | + | 25.8374i | −0.161926 | + | 1.03682i | ||||
\(622\) | 9.99967 | 0.400950 | ||||||||
\(623\) | 36.3732 | + | 10.6801i | 1.45726 | + | 0.427890i | ||||
\(624\) | −23.9057 | + | 27.5887i | −0.956995 | + | 1.10443i | ||||
\(625\) | 0.841254 | + | 0.540641i | 0.0336501 | + | 0.0216256i | ||||
\(626\) | 0.196492 | − | 1.36663i | 0.00785339 | − | 0.0546215i | ||||
\(627\) | −18.1572 | + | 11.6689i | −0.725128 | + | 0.466012i | ||||
\(628\) | −4.25512 | − | 9.31742i | −0.169798 | − | 0.371805i | ||||
\(629\) | 5.84911 | + | 6.75023i | 0.233219 | + | 0.269149i | ||||
\(630\) | −0.971488 | − | 6.75684i | −0.0387050 | − | 0.269199i | ||||
\(631\) | −5.58787 | + | 12.2357i | −0.222449 | + | 0.487096i | −0.987646 | − | 0.156700i | \(-0.949914\pi\) |
0.765197 | + | 0.643796i | \(0.222642\pi\) | |||||||
\(632\) | 4.31766 | − | 1.26778i | 0.171747 | − | 0.0504295i | ||||
\(633\) | 18.0805 | − | 5.30891i | 0.718634 | − | 0.211010i | ||||
\(634\) | −5.99848 | + | 13.1348i | −0.238230 | + | 0.521651i | ||||
\(635\) | −2.16519 | − | 15.0592i | −0.0859228 | − | 0.597607i | ||||
\(636\) | 2.66071 | + | 3.07062i | 0.105504 | + | 0.121758i | ||||
\(637\) | 1.18446 | + | 2.59360i | 0.0469300 | + | 0.102762i | ||||
\(638\) | 49.8822 | − | 32.0574i | 1.97486 | − | 1.26916i | ||||
\(639\) | 2.12368 | − | 14.7705i | 0.0840115 | − | 0.584313i | ||||
\(640\) | −10.9768 | − | 7.05434i | −0.433895 | − | 0.278847i | ||||
\(641\) | −13.2653 | + | 15.3089i | −0.523946 | + | 0.604666i | −0.954615 | − | 0.297844i | \(-0.903732\pi\) |
0.430668 | + | 0.902510i | \(0.358278\pi\) | |||||||
\(642\) | −4.91537 | − | 1.44328i | −0.193994 | − | 0.0569618i | ||||
\(643\) | 20.0230 | 0.789629 | 0.394814 | − | 0.918761i | \(-0.370809\pi\) | ||||
0.394814 | + | 0.918761i | \(0.370809\pi\) | |||||||
\(644\) | 9.80990 | − | 2.75171i | 0.386564 | − | 0.108432i | ||||
\(645\) | 8.45285 | 0.332831 | ||||||||
\(646\) | −19.9367 | − | 5.85394i | −0.784399 | − | 0.230320i | ||||
\(647\) | −0.693050 | + | 0.799823i | −0.0272466 | + | 0.0314443i | −0.769209 | − | 0.638997i | \(-0.779350\pi\) |
0.741963 | + | 0.670441i | \(0.233895\pi\) | |||||||
\(648\) | 2.85014 | + | 1.83167i | 0.111964 | + | 0.0719548i | ||||
\(649\) | −0.886087 | + | 6.16287i | −0.0347820 | + | 0.241914i | ||||
\(650\) | −8.74264 | + | 5.61856i | −0.342915 | + | 0.220378i | ||||
\(651\) | −1.78492 | − | 3.90843i | −0.0699566 | − | 0.153184i | ||||
\(652\) | 1.61346 | + | 1.86203i | 0.0631880 | + | 0.0729229i | ||||
\(653\) | 5.39143 | + | 37.4982i | 0.210983 | + | 1.46742i | 0.769883 | + | 0.638185i | \(0.220314\pi\) |
−0.558900 | + | 0.829235i | \(0.688776\pi\) | |||||||
\(654\) | 12.0468 | − | 26.3788i | 0.471066 | − | 1.03149i | ||||
\(655\) | −8.40981 | + | 2.46934i | −0.328598 | + | 0.0964852i | ||||
\(656\) | −0.117713 | + | 0.0345636i | −0.00459591 | + | 0.00134948i | ||||
\(657\) | 6.14296 | − | 13.4512i | 0.239660 | − | 0.524781i | ||||
\(658\) | −6.78045 | − | 47.1590i | −0.264329 | − | 1.83845i | ||||
\(659\) | −14.5189 | − | 16.7557i | −0.565575 | − | 0.652708i | 0.398865 | − | 0.917010i | \(-0.369404\pi\) |
−0.964440 | + | 0.264301i | \(0.914859\pi\) | |||||||
\(660\) | 1.76336 | + | 3.86122i | 0.0686387 | + | 0.150298i | ||||
\(661\) | 34.5483 | − | 22.2028i | 1.34377 | − | 0.863591i | 0.346548 | − | 0.938032i | \(-0.387354\pi\) |
0.997225 | + | 0.0744417i | \(0.0237175\pi\) | |||||||
\(662\) | 0.157826 | − | 1.09770i | 0.00613407 | − | 0.0426634i | ||||
\(663\) | −18.0585 | − | 11.6055i | −0.701336 | − | 0.450721i | ||||
\(664\) | 7.96778 | − | 9.19531i | 0.309210 | − | 0.356847i | ||||
\(665\) | 10.3646 | + | 3.04332i | 0.401922 | + | 0.118015i | ||||
\(666\) | 8.15667 | 0.316064 | ||||||||
\(667\) | 32.8242 | + | 21.6616i | 1.27096 | + | 0.838741i | ||||
\(668\) | 1.44622 | 0.0559559 | ||||||||
\(669\) | −30.6965 | − | 9.01332i | −1.18680 | − | 0.348475i | ||||
\(670\) | 7.07793 | − | 8.16836i | 0.273444 | − | 0.315571i | ||||
\(671\) | 17.1256 | + | 11.0060i | 0.661128 | + | 0.424881i | ||||
\(672\) | 1.91654 | − | 13.3298i | 0.0739320 | − | 0.514209i | ||||
\(673\) | −12.2585 | + | 7.87809i | −0.472532 | + | 0.303678i | −0.755147 | − | 0.655555i | \(-0.772435\pi\) |
0.282615 | + | 0.959233i | \(0.408798\pi\) | |||||||
\(674\) | −21.8004 | − | 47.7362i | −0.839719 | − | 1.83873i | ||||
\(675\) | 3.57081 | + | 4.12093i | 0.137440 | + | 0.158615i | ||||
\(676\) | −2.97397 | − | 20.6844i | −0.114383 | − | 0.795553i | ||||
\(677\) | −10.5185 | + | 23.0324i | −0.404260 | + | 0.885206i | 0.592561 | + | 0.805526i | \(0.298117\pi\) |
−0.996821 | + | 0.0796798i | \(0.974610\pi\) | |||||||
\(678\) | −27.0142 | + | 7.93208i | −1.03747 | + | 0.304630i | ||||
\(679\) | 2.62572 | − | 0.770981i | 0.100766 | − | 0.0295876i | ||||
\(680\) | 2.38889 | − | 5.23094i | 0.0916098 | − | 0.200597i | ||||
\(681\) | −2.84049 | − | 19.7560i | −0.108848 | − | 0.757052i | ||||
\(682\) | −6.69298 | − | 7.72411i | −0.256288 | − | 0.295772i | ||||
\(683\) | 2.34753 | + | 5.14038i | 0.0898258 | + | 0.196691i | 0.949213 | − | 0.314634i | \(-0.101882\pi\) |
−0.859387 | + | 0.511326i | \(0.829155\pi\) | |||||||
\(684\) | −4.68499 | + | 3.01086i | −0.179135 | + | 0.115123i | ||||
\(685\) | 0.382483 | − | 2.66023i | 0.0146139 | − | 0.101642i | ||||
\(686\) | −27.0055 | − | 17.3554i | −1.03107 | − | 0.662631i | ||||
\(687\) | 14.7206 | − | 16.9885i | 0.561627 | − | 0.648152i | ||||
\(688\) | −33.9160 | − | 9.95864i | −1.29304 | − | 0.379670i | ||||
\(689\) | 25.4084 | 0.967984 | ||||||||
\(690\) | −6.36927 | + | 7.17294i | −0.242474 | + | 0.273069i | ||||
\(691\) | −7.41129 | −0.281939 | −0.140969 | − | 0.990014i | \(-0.545022\pi\) | ||||
−0.140969 | + | 0.990014i | \(0.545022\pi\) | |||||||
\(692\) | 12.7737 | + | 3.75069i | 0.485583 | + | 0.142580i | ||||
\(693\) | −11.4185 | + | 13.1776i | −0.433752 | + | 0.500577i | ||||
\(694\) | −17.5261 | − | 11.2633i | −0.665280 | − | 0.427549i | ||||
\(695\) | 0.877100 | − | 6.10036i | 0.0332703 | − | 0.231400i | ||||
\(696\) | 16.1329 | − | 10.3680i | 0.611514 | − | 0.392996i | ||||
\(697\) | −0.0299686 | − | 0.0656221i | −0.00113514 | − | 0.00248561i | ||||
\(698\) | 2.80173 | + | 3.23337i | 0.106047 | + | 0.122385i | ||||
\(699\) | 3.58937 | + | 24.9646i | 0.135763 | + | 0.944249i | ||||
\(700\) | 0.882530 | − | 1.93247i | 0.0333565 | − | 0.0730406i | ||||
\(701\) | 35.6045 | − | 10.4544i | 1.34476 | − | 0.394858i | 0.471397 | − | 0.881921i | \(-0.343750\pi\) |
0.873367 | + | 0.487063i | \(0.161932\pi\) | |||||||
\(702\) | −54.3720 | + | 15.9651i | −2.05214 | + | 0.602562i | ||||
\(703\) | −5.36189 | + | 11.7409i | −0.202228 | + | 0.442817i | ||||
\(704\) | 1.52236 | + | 10.5882i | 0.0573760 | + | 0.399059i | ||||
\(705\) | 8.62148 | + | 9.94972i | 0.324704 | + | 0.374728i | ||||
\(706\) | 1.69414 | + | 3.70965i | 0.0637599 | + | 0.139615i | ||||
\(707\) | −18.9843 | + | 12.2004i | −0.713977 | + | 0.458845i | ||||
\(708\) | 0.203646 | − | 1.41639i | 0.00765350 | − | 0.0532312i | ||||
\(709\) | −38.2944 | − | 24.6103i | −1.43818 | − | 0.924260i | −0.999674 | − | 0.0255296i | \(-0.991873\pi\) |
−0.438502 | − | 0.898730i | \(-0.644491\pi\) | |||||||
\(710\) | 10.3622 | − | 11.9586i | 0.388885 | − | 0.448797i | ||||
\(711\) | 3.48264 | + | 1.02260i | 0.130609 | + | 0.0383503i | ||||
\(712\) | 29.1634 | 1.09295 | ||||||||
\(713\) | 2.89054 | − | 6.13156i | 0.108252 | − | 0.229629i | ||||
\(714\) | 14.9516 | 0.559551 | ||||||||
\(715\) | 25.4701 | + | 7.47869i | 0.952527 | + | 0.279687i | ||||
\(716\) | −2.55598 | + | 2.94976i | −0.0955215 | + | 0.110238i | ||||
\(717\) | 24.5720 | + | 15.7915i | 0.917659 | + | 0.589744i | ||||
\(718\) | −4.44403 | + | 30.9089i | −0.165850 | + | 1.15351i | ||||
\(719\) | −15.0747 | + | 9.68790i | −0.562190 | + | 0.361298i | −0.790662 | − | 0.612253i | \(-0.790263\pi\) |
0.228472 | + | 0.973550i | \(0.426627\pi\) | |||||||
\(720\) | −3.27683 | − | 7.17526i | −0.122120 | − | 0.267406i | ||||
\(721\) | 10.3368 | + | 11.9293i | 0.384962 | + | 0.444270i | ||||
\(722\) | 0.276231 | + | 1.92123i | 0.0102802 | + | 0.0715007i | ||||
\(723\) | −13.0205 | + | 28.5110i | −0.484238 | + | 1.06033i | ||||
\(724\) | −9.02181 | + | 2.64904i | −0.335293 | + | 0.0984509i | ||||
\(725\) | 7.86818 | − | 2.31031i | 0.292217 | − | 0.0858026i | ||||
\(726\) | 6.20665 | − | 13.5907i | 0.230350 | − | 0.504397i | ||||
\(727\) | 1.35305 | + | 9.41065i | 0.0501818 | + | 0.349022i | 0.999407 | + | 0.0344254i | \(0.0109601\pi\) |
−0.949226 | + | 0.314596i | \(0.898131\pi\) | |||||||
\(728\) | −20.3459 | − | 23.4805i | −0.754071 | − | 0.870244i | ||||
\(729\) | 9.21386 | + | 20.1755i | 0.341254 | + | 0.747242i | ||||
\(730\) | 13.1912 | − | 8.47747i | 0.488228 | − | 0.313765i | ||||
\(731\) | 2.95812 | − | 20.5742i | 0.109410 | − | 0.760963i | ||||
\(732\) | −3.93593 | − | 2.52947i | −0.145476 | − | 0.0934918i | ||||
\(733\) | −3.25665 | + | 3.75837i | −0.120287 | + | 0.138819i | −0.812699 | − | 0.582684i | \(-0.802003\pi\) |
0.692412 | + | 0.721502i | \(0.256548\pi\) | |||||||
\(734\) | −30.4331 | − | 8.93595i | −1.12330 | − | 0.329832i | ||||
\(735\) | 0.548777 | 0.0202420 | ||||||||
\(736\) | 18.0113 | − | 11.2689i | 0.663904 | − | 0.415379i | ||||
\(737\) | −27.6077 | −1.01694 | ||||||||
\(738\) | −0.0632118 | − | 0.0185607i | −0.00232686 | − | 0.000683228i | ||||
\(739\) | 7.39514 | − | 8.53445i | 0.272035 | − | 0.313945i | −0.603251 | − | 0.797552i | \(-0.706128\pi\) |
0.875285 | + | 0.483607i | \(0.160674\pi\) | |||||||
\(740\) | 2.13550 | + | 1.37240i | 0.0785026 | + | 0.0504506i | ||||
\(741\) | 4.41470 | − | 30.7049i | 0.162178 | − | 1.12797i | ||||
\(742\) | −14.8880 | + | 9.56797i | −0.546557 | + | 0.351251i | ||||
\(743\) | −7.31888 | − | 16.0261i | −0.268504 | − | 0.587941i | 0.726569 | − | 0.687094i | \(-0.241114\pi\) |
−0.995072 | + | 0.0991531i | \(0.968387\pi\) | |||||||
\(744\) | −2.16464 | − | 2.49812i | −0.0793594 | − | 0.0915857i | ||||
\(745\) | 3.00158 | + | 20.8764i | 0.109969 | + | 0.764853i | ||||
\(746\) | 6.30749 | − | 13.8115i | 0.230933 | − | 0.505674i | ||||
\(747\) | 9.41653 | − | 2.76494i | 0.344533 | − | 0.101164i | ||||
\(748\) | 10.0153 | − | 2.94075i | 0.366195 | − | 0.107524i | ||||
\(749\) | 2.72055 | − | 5.95718i | 0.0994069 | − | 0.217671i | ||||
\(750\) | 0.284659 | + | 1.97984i | 0.0103943 | + | 0.0722937i | ||||
\(751\) | −25.3701 | − | 29.2786i | −0.925768 | − | 1.06839i | −0.997479 | − | 0.0709674i | \(-0.977391\pi\) |
0.0717110 | − | 0.997425i | \(-0.477154\pi\) | |||||||
\(752\) | −22.8705 | − | 50.0794i | −0.834000 | − | 1.82621i | ||||
\(753\) | −4.27184 | + | 2.74534i | −0.155674 | + | 0.100046i | ||||
\(754\) | −12.1283 | + | 84.3539i | −0.441685 | + | 3.07199i | ||||
\(755\) | −16.1189 | − | 10.3590i | −0.586626 | − | 0.377002i | ||||
\(756\) | 7.58602 | − | 8.75473i | 0.275901 | − | 0.318407i | ||||
\(757\) | −16.1674 | − | 4.74717i | −0.587614 | − | 0.172539i | −0.0256076 | − | 0.999672i | \(-0.508152\pi\) |
−0.562006 | + | 0.827133i | \(0.689970\pi\) | |||||||
\(758\) | 26.5585 | 0.964647 | ||||||||
\(759\) | 24.5007 | + | 0.297070i | 0.889319 | + | 0.0107830i | ||||
\(760\) | 8.31016 | 0.301441 | ||||||||
\(761\) | 5.99126 | + | 1.75919i | 0.217183 | + | 0.0637706i | 0.388514 | − | 0.921443i | \(-0.372989\pi\) |
−0.171331 | + | 0.985214i | \(0.554807\pi\) | |||||||
\(762\) | 19.9282 | − | 22.9984i | 0.721923 | − | 0.833143i | ||||
\(763\) | 31.1872 | + | 20.0428i | 1.12905 | + | 0.725599i | ||||
\(764\) | −0.971144 | + | 6.75445i | −0.0351348 | + | 0.244368i | ||||
\(765\) | 3.90213 | − | 2.50774i | 0.141082 | − | 0.0906677i | ||||
\(766\) | 24.5704 | + | 53.8016i | 0.887763 | + | 1.94393i | ||||
\(767\) | −5.86010 | − | 6.76291i | −0.211596 | − | 0.244195i | ||||
\(768\) | −2.87202 | − | 19.9753i | −0.103635 | − | 0.720797i | ||||
\(769\) | −13.5186 | + | 29.6015i | −0.487492 | + | 1.06746i | 0.492843 | + | 0.870118i | \(0.335958\pi\) |
−0.980335 | + | 0.197340i | \(0.936770\pi\) | |||||||
\(770\) | −17.7404 | + | 5.20905i | −0.639320 | + | 0.187721i | ||||
\(771\) | 0.346417 | − | 0.101717i | 0.0124759 | − | 0.00366326i | ||||
\(772\) | −4.62484 | + | 10.1270i | −0.166452 | + | 0.364478i | ||||
\(773\) | 2.53291 | + | 17.6168i | 0.0911025 | + | 0.633632i | 0.983301 | + | 0.181988i | \(0.0582532\pi\) |
−0.892198 | + | 0.451644i | \(0.850838\pi\) | |||||||
\(774\) | −12.4304 | − | 14.3455i | −0.446803 | − | 0.515638i | ||||
\(775\) | −0.587174 | − | 1.28573i | −0.0210919 | − | 0.0461848i | ||||
\(776\) | 1.77106 | − | 1.13819i | 0.0635773 | − | 0.0408587i | ||||
\(777\) | 1.32179 | − | 9.19328i | 0.0474191 | − | 0.329807i | ||||
\(778\) | −18.9050 | − | 12.1495i | −0.677778 | − | 0.435582i | ||||
\(779\) | 0.0682698 | − | 0.0787876i | 0.00244602 | − | 0.00282286i | ||||
\(780\) | −5.85370 | − | 1.71880i | −0.209596 | − | 0.0615429i | ||||
\(781\) | −40.4179 | −1.44627 | ||||||||
\(782\) | 15.2299 | + | 18.0130i | 0.544621 | + | 0.644143i | ||||
\(783\) | 44.7147 | 1.59797 | ||||||||
\(784\) | −2.20190 | − | 0.646536i | −0.0786393 | − | 0.0230906i | ||||
\(785\) | −8.07359 | + | 9.31742i | −0.288159 | + | 0.332553i | ||||
\(786\) | −14.7484 | − | 9.47823i | −0.526058 | − | 0.338077i | ||||
\(787\) | −1.80563 | + | 12.5585i | −0.0643639 | + | 0.447661i | 0.932000 | + | 0.362459i | \(0.118063\pi\) |
−0.996364 | + | 0.0852020i | \(0.972846\pi\) | |||||||
\(788\) | −8.80913 | + | 5.66128i | −0.313812 | + | 0.201675i | ||||
\(789\) | 0.794189 | + | 1.73903i | 0.0282739 | + | 0.0619111i | ||||
\(790\) | 2.52045 | + | 2.90875i | 0.0896735 | + | 0.103489i | ||||
\(791\) | −5.12226 | − | 35.6261i | −0.182127 | − | 1.26672i | ||||
\(792\) | −5.57238 | + | 12.2018i | −0.198006 | + | 0.433573i | ||||
\(793\) | −28.0732 | + | 8.24303i | −0.996908 | + | 0.292718i | ||||
\(794\) | 9.89017 | − | 2.90402i | 0.350989 | − | 0.103060i | ||||
\(795\) | 2.03151 | − | 4.44838i | 0.0720501 | − | 0.157768i | ||||
\(796\) | 2.25884 | + | 15.7105i | 0.0800623 | + | 0.556846i | ||||
\(797\) | −20.9335 | − | 24.1585i | −0.741502 | − | 0.855738i | 0.252214 | − | 0.967671i | \(-0.418841\pi\) |
−0.993716 | + | 0.111933i | \(0.964296\pi\) | |||||||
\(798\) | 8.97566 | + | 19.6540i | 0.317735 | + | 0.695743i | ||||
\(799\) | 27.2347 | − | 17.5027i | 0.963494 | − | 0.619200i | ||||
\(800\) | 0.630471 | − | 4.38502i | 0.0222905 | − | 0.155034i | ||||
\(801\) | 19.7891 | + | 12.7177i | 0.699213 | + | 0.449357i | ||||
\(802\) | −34.5694 | + | 39.8953i | −1.22069 | + | 1.40875i | ||||
\(803\) | −38.4301 | − | 11.2841i | −1.35617 | − | 0.398207i | ||||
\(804\) | 6.34497 | 0.223770 | ||||||||
\(805\) | −7.91765 | − | 9.36449i | −0.279060 | − | 0.330055i | ||||
\(806\) | 14.6893 | 0.517408 | ||||||||
\(807\) | 9.10167 | + | 2.67249i | 0.320394 | + | 0.0940762i | ||||
\(808\) | −11.3688 | + | 13.1203i | −0.399953 | + | 0.461571i | ||||
\(809\) | −8.69149 | − | 5.58568i | −0.305576 | − | 0.196382i | 0.378861 | − | 0.925454i | \(-0.376316\pi\) |
−0.684438 | + | 0.729071i | \(0.739952\pi\) | |||||||
\(810\) | −0.412393 | + | 2.86826i | −0.0144900 | + | 0.100780i | ||||
\(811\) | −20.8821 | + | 13.4201i | −0.733269 | + | 0.471243i | −0.853230 | − | 0.521535i | \(-0.825360\pi\) |
0.119961 | + | 0.992779i | \(0.461723\pi\) | |||||||
\(812\) | −7.23706 | − | 15.8470i | −0.253971 | − | 0.556119i | ||||
\(813\) | −7.21166 | − | 8.32270i | −0.252924 | − | 0.291890i | ||||
\(814\) | −3.14411 | − | 21.8678i | −0.110201 | − | 0.766464i | ||||
\(815\) | 1.23191 | − | 2.69751i | 0.0431520 | − | 0.0944897i | ||||
\(816\) | 16.5774 | − | 4.86755i | 0.580324 | − | 0.170398i | ||||
\(817\) | 28.8206 | − | 8.46248i | 1.00830 | − | 0.296065i | ||||
\(818\) | −22.1199 | + | 48.4357i | −0.773403 | + | 1.69352i | ||||
\(819\) | −3.56648 | − | 24.8054i | −0.124623 | − | 0.866770i | ||||
\(820\) | −0.0134266 | − | 0.0154951i | −0.000468877 | − | 0.000541113i | ||||
\(821\) | 6.40908 | + | 14.0339i | 0.223678 | + | 0.489787i | 0.987886 | − | 0.155183i | \(-0.0495968\pi\) |
−0.764207 | + | 0.644971i | \(0.776870\pi\) | |||||||
\(822\) | 4.52234 | − | 2.90633i | 0.157735 | − | 0.101370i | ||||
\(823\) | 1.35994 | − | 9.45860i | 0.0474046 | − | 0.329706i | −0.952295 | − | 0.305180i | \(-0.901283\pi\) |
0.999699 | − | 0.0245259i | \(-0.00780763\pi\) | |||||||
\(824\) | 10.2156 | + | 6.56515i | 0.355876 | + | 0.228708i | ||||
\(825\) | 3.34577 | − | 3.86122i | 0.116485 | − | 0.134430i | ||||
\(826\) | 5.98041 | + | 1.75601i | 0.208085 | + | 0.0610993i | ||||
\(827\) | 19.8985 | 0.691938 | 0.345969 | − | 0.938246i | \(-0.387550\pi\) | ||||
0.345969 | + | 0.938246i | \(0.387550\pi\) | |||||||
\(828\) | 6.32178 | + | 0.0766512i | 0.219697 | + | 0.00266381i | ||||
\(829\) | −9.80722 | −0.340619 | −0.170309 | − | 0.985391i | \(-0.554477\pi\) | ||||
−0.170309 | + | 0.985391i | \(0.554477\pi\) | |||||||
\(830\) | 9.98511 | + | 2.93189i | 0.346588 | + | 0.101767i | ||||
\(831\) | 21.7690 | − | 25.1227i | 0.755158 | − | 0.871498i | ||||
\(832\) | −12.9337 | − | 8.31199i | −0.448396 | − | 0.288166i | ||||
\(833\) | 0.192047 | − | 1.33572i | 0.00665405 | − | 0.0462799i | ||||
\(834\) | 10.3705 | − | 6.66472i | 0.359101 | − | 0.230780i | ||||
\(835\) | −0.723110 | − | 1.58339i | −0.0250242 | − | 0.0547954i | ||||
\(836\) | 9.87792 | + | 11.3997i | 0.341635 | + | 0.394268i | ||||
\(837\) | −1.09686 | − | 7.62885i | −0.0379131 | − | 0.263691i | ||||
\(838\) | 12.3216 | − | 26.9806i | 0.425643 | − | 0.932029i | ||||
\(839\) | −24.5941 | + | 7.22148i | −0.849083 | + | 0.249313i | −0.677195 | − | 0.735803i | \(-0.736805\pi\) |
−0.171888 | + | 0.985117i | \(0.554987\pi\) | |||||||
\(840\) | −5.73758 | + | 1.68471i | −0.197965 | + | 0.0581279i | ||||
\(841\) | 15.8879 | − | 34.7896i | 0.547858 | − | 1.19964i | ||||
\(842\) | 6.83226 | + | 47.5194i | 0.235455 | + | 1.63763i | ||||
\(843\) | −6.15342 | − | 7.10143i | −0.211935 | − | 0.244586i | ||||
\(844\) | −5.47073 | − | 11.9792i | −0.188310 | − | 0.412342i | ||||
\(845\) | −21.1593 | + | 13.5982i | −0.727901 | + | 0.467793i | ||||
\(846\) | 4.20744 | − | 29.2634i | 0.144655 | − | 1.00610i | ||||
\(847\) | 16.0680 | + | 10.3263i | 0.552104 | + | 0.354816i | ||||
\(848\) | −13.3920 | + | 15.4552i | −0.459882 | + | 0.530733i | ||||
\(849\) | −6.05680 | − | 1.77844i | −0.207869 | − | 0.0610358i | ||||
\(850\) | 4.91854 | 0.168705 | ||||||||
\(851\) | 12.4220 | − | 7.77195i | 0.425820 | − | 0.266419i | ||||
\(852\) | 9.28910 | 0.318239 | ||||||||
\(853\) | −10.7337 | − | 3.15171i | −0.367516 | − | 0.107912i | 0.0927595 | − | 0.995689i | \(-0.470431\pi\) |
−0.460276 | + | 0.887776i | \(0.652249\pi\) | |||||||
\(854\) | 13.3454 | − | 15.4014i | 0.456670 | − | 0.527026i | ||||
\(855\) | 5.63893 | + | 3.62392i | 0.192847 | + | 0.123935i | ||||
\(856\) | 0.717009 | − | 4.98691i | 0.0245069 | − | 0.170449i | ||||
\(857\) | −4.77355 | + | 3.06777i | −0.163061 | + | 0.104793i | −0.619626 | − | 0.784897i | \(-0.712716\pi\) |
0.456565 | + | 0.889690i | \(0.349080\pi\) | |||||||
\(858\) | 22.0569 | + | 48.2979i | 0.753010 | + | 1.64886i | ||||
\(859\) | 34.4475 | + | 39.7546i | 1.17533 | + | 1.35641i | 0.921128 | + | 0.389259i | \(0.127269\pi\) |
0.254207 | + | 0.967150i | \(0.418186\pi\) | |||||||
\(860\) | −0.840714 | − | 5.84729i | −0.0286681 | − | 0.199391i | ||||
\(861\) | −0.0311630 | + | 0.0682375i | −0.00106203 | + | 0.00232553i | ||||
\(862\) | 63.4492 | − | 18.6304i | 2.16109 | − | 0.634553i | ||||
\(863\) | −45.7342 | + | 13.4288i | −1.55681 | + | 0.457121i | −0.943127 | − | 0.332432i | \(-0.892131\pi\) |
−0.613683 | + | 0.789553i | \(0.710313\pi\) | |||||||
\(864\) | 10.0349 | − | 21.9734i | 0.341395 | − | 0.747551i | ||||
\(865\) | −2.28041 | − | 15.8606i | −0.0775362 | − | 0.539276i | ||||
\(866\) | 12.9025 | + | 14.8903i | 0.438444 | + | 0.505992i | ||||
\(867\) | −4.17509 | − | 9.14216i | −0.141793 | − | 0.310484i | ||||
\(868\) | −2.52615 | + | 1.62346i | −0.0857431 | + | 0.0551037i | ||||
\(869\) | 1.39911 | − | 9.73102i | 0.0474615 | − | 0.330102i | ||||
\(870\) | 13.7986 | + | 8.86779i | 0.467815 | + | 0.300646i | ||||
\(871\) | 25.9841 | − | 29.9873i | 0.880438 | − | 1.01608i | ||||
\(872\) | 27.3647 | + | 8.03501i | 0.926687 | + | 0.272100i | ||||
\(873\) | 1.69811 | 0.0574724 | ||||||||
\(874\) | −14.5354 | + | 30.8332i | −0.491666 | + | 1.04295i | ||||
\(875\) | −2.55703 | −0.0864433 | ||||||||
\(876\) | 8.83225 | + | 2.59338i | 0.298414 | + | 0.0876223i | ||||
\(877\) | −35.1003 | + | 40.5079i | −1.18525 | + | 1.36785i | −0.271064 | + | 0.962561i | \(0.587375\pi\) |
−0.914187 | + | 0.405292i | \(0.867170\pi\) | |||||||
\(878\) | 13.6573 | + | 8.77704i | 0.460913 | + | 0.296211i | ||||
\(879\) | 1.10792 | − | 7.70577i | 0.0373693 | − | 0.259909i | ||||
\(880\) | −17.9735 | + | 11.5509i | −0.605888 | + | 0.389380i | ||||
\(881\) | 3.52174 | + | 7.71153i | 0.118650 | + | 0.259808i | 0.959634 | − | 0.281253i | \(-0.0907500\pi\) |
−0.840983 | + | 0.541061i | \(0.818023\pi\) | |||||||
\(882\) | −0.807011 | − | 0.931341i | −0.0271735 | − | 0.0313599i | ||||
\(883\) | −4.54752 | − | 31.6287i | −0.153036 | − | 1.06439i | −0.911093 | − | 0.412202i | \(-0.864760\pi\) |
0.758056 | − | 0.652189i | \(-0.226149\pi\) | |||||||
\(884\) | −6.23208 | + | 13.6463i | −0.209607 | + | 0.458976i | ||||
\(885\) | −1.65255 | + | 0.485234i | −0.0555500 | + | 0.0163110i | ||||
\(886\) | 16.2856 | − | 4.78189i | 0.547126 | − | 0.160651i | ||||
\(887\) | −11.9148 | + | 26.0898i | −0.400060 | + | 0.876009i | 0.597204 | + | 0.802089i | \(0.296278\pi\) |
−0.997264 | + | 0.0739199i | \(0.976449\pi\) | |||||||
\(888\) | −1.01686 | − | 7.07244i | −0.0341237 | − | 0.237336i | ||||
\(889\) | 25.4759 | + | 29.4008i | 0.854434 | + | 0.986070i | ||||
\(890\) | 10.3620 | + | 22.6896i | 0.347335 | + | 0.760557i | ||||
\(891\) | 6.22674 | − | 4.00168i | 0.208604 | − | 0.134061i | ||||
\(892\) | −3.18195 | + | 22.1309i | −0.106539 | + | 0.740998i | ||||
\(893\) | 39.3566 | + | 25.2930i | 1.31702 | + | 0.846397i | ||||
\(894\) | −27.6263 | + | 31.8824i | −0.923961 | + | 1.06631i | ||||
\(895\) | 4.50753 | + | 1.32353i | 0.150670 | + | 0.0442407i | ||||
\(896\) | 33.3643 | 1.11462 | ||||||||
\(897\) | −23.3826 | + | 26.3329i | −0.780721 | + | 0.879231i | ||||
\(898\) | 36.7249 | 1.22553 | ||||||||
\(899\) | −11.1214 | − | 3.26553i | −0.370919 | − | 0.108912i | ||||
\(900\) | 0.863289 | − | 0.996288i | 0.0287763 | − | 0.0332096i | ||||
\(901\) | −10.1164 | − | 6.50140i | −0.337025 | − | 0.216593i | ||||
\(902\) | −0.0253946 | + | 0.176623i | −0.000845547 | + | 0.00588091i | ||||
\(903\) | −18.1830 | + | 11.6855i | −0.605092 | + | 0.388869i | ||||
\(904\) | −11.5025 | − | 25.1870i | −0.382568 | − | 0.837707i | ||||
\(905\) | 7.41120 | + | 8.55299i | 0.246357 | + | 0.284311i | ||||
\(906\) | −5.45421 | − | 37.9349i | −0.181204 | − | 1.26030i | ||||
\(907\) | 15.6787 | − | 34.3316i | 0.520603 | − | 1.13996i | −0.448608 | − | 0.893729i | \(-0.648080\pi\) |
0.969211 | − | 0.246233i | \(-0.0791928\pi\) | |||||||
\(908\) | −13.3838 | + | 3.92984i | −0.444157 | + | 0.130416i | ||||
\(909\) | −13.4359 | + | 3.94515i | −0.445642 | + | 0.130852i | ||||
\(910\) | 11.0391 | − | 24.1722i | 0.365942 | − | 0.801302i | ||||
\(911\) | 4.26966 | + | 29.6962i | 0.141460 | + | 0.983877i | 0.929650 | + | 0.368445i | \(0.120110\pi\) |
−0.788189 | + | 0.615433i | \(0.788981\pi\) | |||||||
\(912\) | 16.3500 | + | 18.8689i | 0.541403 | + | 0.624813i | ||||
\(913\) | −11.0425 | − | 24.1796i | −0.365452 | − | 0.800228i | ||||
\(914\) | −15.0853 | + | 9.69472i | −0.498977 | + | 0.320673i | ||||
\(915\) | −0.801416 | + | 5.57397i | −0.0264940 | + | 0.184270i | ||||
\(916\) | −13.2160 | − | 8.49339i | −0.436668 | − | 0.280629i | ||||
\(917\) | 14.6767 | − | 16.9378i | 0.484667 | − | 0.559336i | ||||
\(918\) | 25.7333 | + | 7.55598i | 0.849326 | + | 0.249385i | ||||
\(919\) | 28.2831 | 0.932972 | 0.466486 | − | 0.884529i | \(-0.345520\pi\) | ||||
0.466486 | + | 0.884529i | \(0.345520\pi\) | |||||||
\(920\) | −7.87401 | − | 5.19628i | −0.259598 | − | 0.171316i | ||||
\(921\) | −6.25451 | −0.206093 | ||||||||
\(922\) | −64.8470 | − | 19.0408i | −2.13562 | − | 0.627075i | ||||
\(923\) | 38.0410 | − | 43.9017i | 1.25214 | − | 1.44504i | ||||
\(924\) | −9.13105 | − | 5.86817i | −0.300390 | − | 0.193049i | ||||
\(925\) | 0.434822 | − | 3.02425i | 0.0142968 | − | 0.0994368i | ||||
\(926\) | −14.3571 | + | 9.22675i | −0.471804 | + | 0.303210i | ||||
\(927\) | 4.06891 | + | 8.90968i | 0.133641 | + | 0.292632i | ||||
\(928\) | −23.7901 | − | 27.4552i | −0.780948 | − | 0.901262i | ||||
\(929\) | 5.00119 | + | 34.7840i | 0.164084 | + | 1.14123i | 0.890835 | + | 0.454327i | \(0.150120\pi\) |
−0.726752 | + | 0.686900i | \(0.758971\pi\) | |||||||
\(930\) | 1.17447 | − | 2.57172i | 0.0385123 | − | 0.0843301i | ||||
\(931\) | 1.87109 | − | 0.549403i | 0.0613226 | − | 0.0180060i | ||||
\(932\) | 16.9124 | − | 4.96593i | 0.553984 | − | 0.162664i | ||||
\(933\) | 2.93513 | − | 6.42705i | 0.0960920 | − | 0.210412i | ||||
\(934\) | 4.05211 | + | 28.1831i | 0.132589 | + | 0.922178i | ||||
\(935\) | −8.22731 | − | 9.49482i | −0.269062 | − | 0.310514i | ||||
\(936\) | −8.00886 | − | 17.5370i | −0.261778 | − | 0.573213i | ||||
\(937\) | −35.2338 | + | 22.6434i | −1.15104 | + | 0.739728i | −0.969846 | − | 0.243720i | \(-0.921632\pi\) |
−0.181193 | + | 0.983448i | \(0.557996\pi\) | |||||||
\(938\) | −3.93317 | + | 27.3558i | −0.128422 | + | 0.893198i | ||||
\(939\) | −0.820694 | − | 0.527428i | −0.0267823 | − | 0.0172120i | ||||
\(940\) | 6.02528 | − | 6.95354i | 0.196523 | − | 0.226799i | ||||
\(941\) | 42.5299 | + | 12.4879i | 1.38644 | + | 0.407094i | 0.888005 | − | 0.459834i | \(-0.152091\pi\) |
0.498432 | + | 0.866929i | \(0.333909\pi\) | |||||||
\(942\) | −24.6599 | −0.803464 | ||||||||
\(943\) | −0.113952 | + | 0.0319639i | −0.00371079 | + | 0.00104089i | ||||
\(944\) | 7.20235 | 0.234416 | ||||||||
\(945\) | −13.3781 | − | 3.92817i | −0.435190 | − | 0.127783i | ||||
\(946\) | −33.6683 | + | 38.8553i | −1.09465 | + | 1.26329i | ||||
\(947\) | −10.0957 | − | 6.48812i | −0.328067 | − | 0.210836i | 0.366230 | − | 0.930524i | \(-0.380648\pi\) |
−0.694297 | + | 0.719689i | \(0.744285\pi\) | |||||||
\(948\) | −0.321552 | + | 2.23644i | −0.0104435 | + | 0.0726363i | ||||
\(949\) | 48.4269 | − | 31.1221i | 1.57200 | − | 1.01026i | ||||
\(950\) | 2.95266 | + | 6.46543i | 0.0957971 | + | 0.209766i | ||||
\(951\) | 6.68141 | + | 7.71076i | 0.216659 | + | 0.250038i | ||||
\(952\) | 2.09266 | + | 14.5548i | 0.0678236 | + | 0.471724i | ||||
\(953\) | −16.2119 | + | 35.4991i | −0.525155 | + | 1.14993i | 0.442296 | + | 0.896869i | \(0.354164\pi\) |
−0.967451 | + | 0.253059i | \(0.918563\pi\) | |||||||
\(954\) | −10.5369 | + | 3.09391i | −0.341144 | + | 0.100169i | ||||
\(955\) | 7.88067 | − | 2.31397i | 0.255012 | − | 0.0748784i | ||||
\(956\) | 8.47991 | − | 18.5684i | 0.274260 | − | 0.600546i | ||||
\(957\) | −5.96251 | − | 41.4702i | −0.192741 | − | 1.34054i | ||||
\(958\) | 8.80385 | + | 10.1602i | 0.284440 | + | 0.328261i | ||||
\(959\) | 2.85483 | + | 6.25120i | 0.0921872 | + | 0.201862i | ||||
\(960\) | −2.48932 | + | 1.59979i | −0.0803425 | + | 0.0516330i | ||||
\(961\) | 4.12743 | − | 28.7069i | 0.133143 | − | 0.926030i | ||||
\(962\) | 26.7118 | + | 17.1667i | 0.861224 | + | 0.553475i | ||||
\(963\) | 2.66124 | − | 3.07123i | 0.0857572 | − | 0.0989691i | ||||
\(964\) | 21.0176 | + | 6.17132i | 0.676931 | + | 0.198765i | ||||
\(965\) | 13.3999 | 0.431359 | ||||||||
\(966\) | 3.78489 | − | 24.2349i | 0.121777 | − | 0.779744i | ||||
\(967\) | −41.3620 | −1.33011 | −0.665056 | − | 0.746794i | \(-0.731592\pi\) | ||||
−0.665056 | + | 0.746794i | \(0.731592\pi\) | |||||||
\(968\) | 14.0986 | + | 4.13973i | 0.453147 | + | 0.133056i | ||||
\(969\) | −9.61437 | + | 11.0956i | −0.308858 | + | 0.356441i | ||||
\(970\) | 1.51480 | + | 0.973503i | 0.0486373 | + | 0.0312573i | ||||
\(971\) | 4.27363 | − | 29.7237i | 0.137147 | − | 0.953880i | −0.798764 | − | 0.601644i | \(-0.794512\pi\) |
0.935911 | − | 0.352236i | \(-0.114578\pi\) | |||||||
\(972\) | 10.0024 | − | 6.42815i | 0.320827 | − | 0.206183i | ||||
\(973\) | 6.54661 | + | 14.3351i | 0.209875 | + | 0.459561i | ||||
\(974\) | 9.78183 | + | 11.2888i | 0.313430 | + | 0.361718i | ||||
\(975\) | 1.04502 | + | 7.26830i | 0.0334676 | + | 0.232772i | ||||
\(976\) | 9.78250 | − | 21.4207i | 0.313130 | − | 0.685660i | ||||
\(977\) | −35.0885 | + | 10.3029i | −1.12258 | + | 0.329620i | −0.789788 | − | 0.613380i | \(-0.789810\pi\) |
−0.332794 | + | 0.943000i | \(0.607991\pi\) | |||||||
\(978\) | 5.69133 | − | 1.67112i | 0.181989 | − | 0.0534367i | ||||
\(979\) | 26.4677 | − | 57.9561i | 0.845910 | − | 1.85228i | ||||
\(980\) | −0.0545810 | − | 0.379619i | −0.00174353 | − | 0.0121265i | ||||
\(981\) | 15.0646 | + | 17.3855i | 0.480977 | + | 0.555077i | ||||
\(982\) | −14.2387 | − | 31.1784i | −0.454374 | − | 0.994941i | ||||
\(983\) | −31.5679 | + | 20.2875i | −1.00686 | + | 0.647070i | −0.936579 | − | 0.350457i | \(-0.886026\pi\) |
−0.0702816 | + | 0.997527i | \(0.522390\pi\) | |||||||
\(984\) | −0.00821309 | + | 0.0571233i | −0.000261824 | + | 0.00182102i | ||||
\(985\) | 10.6028 | + | 6.81401i | 0.337833 | + | 0.217112i | ||||
\(986\) | 26.4130 | − | 30.4822i | 0.841162 | − | 0.970753i | ||||
\(987\) | −32.3006 | − | 9.48430i | −1.02814 | − | 0.301889i | ||||
\(988\) | −21.6793 | −0.689712 | ||||||||
\(989\) | −32.5995 | − | 10.0030i | −1.03660 | − | 0.318075i | ||||
\(990\) | −11.4731 | −0.364639 | ||||||||
\(991\) | 28.8648 | + | 8.47548i | 0.916922 | + | 0.269232i | 0.705952 | − | 0.708260i | \(-0.250520\pi\) |
0.210970 | + | 0.977493i | \(0.432338\pi\) | |||||||
\(992\) | −4.10061 | + | 4.73235i | −0.130194 | + | 0.150252i | ||||
\(993\) | −0.659196 | − | 0.423639i | −0.0209189 | − | 0.0134438i | ||||
\(994\) | −5.75820 | + | 40.0491i | −0.182639 | + | 1.27028i | ||||
\(995\) | 16.0712 | − | 10.3284i | 0.509492 | − | 0.327431i | ||||
\(996\) | 2.53785 | + | 5.55711i | 0.0804148 | + | 0.176084i | ||||
\(997\) | −38.3256 | − | 44.2301i | −1.21378 | − | 1.40078i | −0.890811 | − | 0.454374i | \(-0.849863\pi\) |
−0.322973 | − | 0.946408i | \(-0.604682\pi\) | |||||||
\(998\) | 0.864835 | + | 6.01506i | 0.0273759 | + | 0.190403i | ||||
\(999\) | 6.92087 | − | 15.1546i | 0.218967 | − | 0.479470i |
(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 | 115.2.g.b.41.1 | ✓ | 20 | |
5.2 | odd | 4 | 575.2.p.c.524.4 | 40 | |||
5.3 | odd | 4 | 575.2.p.c.524.1 | 40 | |||
5.4 | even | 2 | 575.2.k.c.501.2 | 20 | |||
23.3 | even | 11 | 2645.2.a.t.1.10 | 10 | |||
23.9 | even | 11 | inner | 115.2.g.b.101.1 | yes | 20 | |
23.20 | odd | 22 | 2645.2.a.u.1.10 | 10 | |||
115.9 | even | 22 | 575.2.k.c.101.2 | 20 | |||
115.32 | odd | 44 | 575.2.p.c.124.1 | 40 | |||
115.78 | odd | 44 | 575.2.p.c.124.4 | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
115.2.g.b.41.1 | ✓ | 20 | 1.1 | even | 1 | trivial | |
115.2.g.b.101.1 | yes | 20 | 23.9 | even | 11 | inner | |
575.2.k.c.101.2 | 20 | 115.9 | even | 22 | |||
575.2.k.c.501.2 | 20 | 5.4 | even | 2 | |||
575.2.p.c.124.1 | 40 | 115.32 | odd | 44 | |||
575.2.p.c.124.4 | 40 | 115.78 | odd | 44 | |||
575.2.p.c.524.1 | 40 | 5.3 | odd | 4 | |||
575.2.p.c.524.4 | 40 | 5.2 | odd | 4 | |||
2645.2.a.t.1.10 | 10 | 23.3 | even | 11 | |||
2645.2.a.u.1.10 | 10 | 23.20 | odd | 22 |