Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(11,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([24, 15, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bl (of order \(48\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 131.57 | ||
Character | \(\chi\) | \(=\) | 576.131 |
Dual form | 576.2.bl.a.299.57 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(e\left(\frac{3}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.488504 | − | 1.32716i | 0.345424 | − | 0.938447i | ||||
\(3\) | 0.847205 | + | 1.51071i | 0.489134 | + | 0.872209i | ||||
\(4\) | −1.52273 | − | 1.29665i | −0.761364 | − | 0.648325i | ||||
\(5\) | 0.514607 | + | 1.04352i | 0.230139 | + | 0.466677i | 0.981057 | − | 0.193719i | \(-0.0620551\pi\) |
−0.750918 | + | 0.660396i | \(0.770388\pi\) | |||||||
\(6\) | 2.41882 | − | 0.386392i | 0.987480 | − | 0.157744i | ||||
\(7\) | 0.187771 | − | 0.244708i | 0.0709707 | − | 0.0924908i | −0.756519 | − | 0.653972i | \(-0.773102\pi\) |
0.827490 | + | 0.561481i | \(0.189768\pi\) | |||||||
\(8\) | −2.46472 | + | 1.38749i | −0.871412 | + | 0.490552i | ||||
\(9\) | −1.56449 | + | 2.55976i | −0.521496 | + | 0.853254i | ||||
\(10\) | 1.63631 | − | 0.173205i | 0.517447 | − | 0.0547721i | ||||
\(11\) | 3.29021 | + | 3.75177i | 0.992036 | + | 1.13120i | 0.991356 | + | 0.131200i | \(0.0418831\pi\) |
0.000680077 | 1.00000i | \(0.499784\pi\) | ||||||||
\(12\) | 0.668798 | − | 3.39893i | 0.193065 | − | 0.981186i | ||||
\(13\) | 0.158010 | + | 2.41077i | 0.0438241 | + | 0.668626i | 0.962102 | + | 0.272690i | \(0.0879132\pi\) |
−0.918278 | + | 0.395936i | \(0.870420\pi\) | |||||||
\(14\) | −0.233040 | − | 0.368743i | −0.0622827 | − | 0.0985507i | ||||
\(15\) | −1.14048 | + | 1.66150i | −0.294470 | + | 0.428997i | ||||
\(16\) | 0.637402 | + | 3.94889i | 0.159351 | + | 0.987222i | ||||
\(17\) | 2.55365 | − | 2.55365i | 0.619351 | − | 0.619351i | −0.326014 | − | 0.945365i | \(-0.605706\pi\) |
0.945365 | + | 0.326014i | \(0.105706\pi\) | |||||||
\(18\) | 2.63296 | + | 3.32678i | 0.620596 | + | 0.784131i | ||||
\(19\) | −1.60114 | + | 1.06984i | −0.367326 | + | 0.245439i | −0.725510 | − | 0.688212i | \(-0.758396\pi\) |
0.358184 | + | 0.933651i | \(0.383396\pi\) | |||||||
\(20\) | 0.569473 | − | 2.25626i | 0.127338 | − | 0.504516i | ||||
\(21\) | 0.528762 | + | 0.0763496i | 0.115385 | + | 0.0166609i | ||||
\(22\) | 6.58649 | − | 2.53390i | 1.40424 | − | 0.540229i | ||||
\(23\) | 1.13072 | + | 1.47359i | 0.235772 | + | 0.307264i | 0.896222 | − | 0.443606i | \(-0.146301\pi\) |
−0.660450 | + | 0.750870i | \(0.729634\pi\) | |||||||
\(24\) | −4.18422 | − | 2.54799i | −0.854101 | − | 0.520107i | ||||
\(25\) | 2.21969 | − | 2.89276i | 0.443939 | − | 0.578552i | ||||
\(26\) | 3.27667 | + | 0.967963i | 0.642608 | + | 0.189833i | ||||
\(27\) | −5.19250 | − | 0.194845i | −0.999297 | − | 0.0374979i | ||||
\(28\) | −0.603224 | + | 0.129150i | −0.113999 | + | 0.0244071i | ||||
\(29\) | −3.26084 | + | 1.10691i | −0.605523 | + | 0.205547i | −0.607328 | − | 0.794451i | \(-0.707759\pi\) |
0.00180546 | + | 0.999998i | \(0.499425\pi\) | |||||||
\(30\) | 1.64795 | + | 2.32525i | 0.300874 | + | 0.424531i | ||||
\(31\) | 3.19670 | − | 5.53685i | 0.574145 | − | 0.994448i | −0.421989 | − | 0.906601i | \(-0.638668\pi\) |
0.996134 | − | 0.0878469i | \(-0.0279986\pi\) | |||||||
\(32\) | 5.55220 | + | 1.08311i | 0.981499 | + | 0.191469i | ||||
\(33\) | −2.88035 | + | 8.14907i | −0.501404 | + | 1.41857i | ||||
\(34\) | −2.14164 | − | 4.63658i | −0.367289 | − | 0.795166i | ||||
\(35\) | 0.351986 | + | 0.0700143i | 0.0594964 | + | 0.0118346i | ||||
\(36\) | 5.70140 | − | 1.86923i | 0.950234 | − | 0.311538i | ||||
\(37\) | −4.02189 | + | 6.01919i | −0.661195 | + | 0.989548i | 0.337639 | + | 0.941276i | \(0.390372\pi\) |
−0.998834 | + | 0.0482728i | \(0.984628\pi\) | |||||||
\(38\) | 0.637698 | + | 2.64759i | 0.103448 | + | 0.429496i | ||||
\(39\) | −3.50810 | + | 2.28112i | −0.561746 | + | 0.365271i | ||||
\(40\) | −2.71624 | − | 1.85798i | −0.429476 | − | 0.293772i | ||||
\(41\) | 3.33245 | − | 2.55708i | 0.520441 | − | 0.399348i | −0.314863 | − | 0.949137i | \(-0.601959\pi\) |
0.835304 | + | 0.549789i | \(0.185292\pi\) | |||||||
\(42\) | 0.359631 | − | 0.664457i | 0.0554923 | − | 0.102528i | ||||
\(43\) | 6.49409 | + | 7.40510i | 0.990340 | + | 1.12927i | 0.991610 | + | 0.129267i | \(0.0412625\pi\) |
−0.00126964 | + | 0.999999i | \(0.500404\pi\) | |||||||
\(44\) | −0.145372 | − | 9.97917i | −0.0219157 | − | 1.50442i | ||||
\(45\) | −3.47626 | − | 0.315303i | −0.518210 | − | 0.0470026i | ||||
\(46\) | 2.50805 | − | 0.780802i | 0.369792 | − | 0.115123i | ||||
\(47\) | 2.20023 | − | 8.21139i | 0.320937 | − | 1.19775i | −0.597396 | − | 0.801946i | \(-0.703798\pi\) |
0.918333 | − | 0.395808i | \(-0.129535\pi\) | |||||||
\(48\) | −5.42561 | + | 4.30845i | −0.783120 | + | 0.621871i | ||||
\(49\) | 1.78711 | + | 6.66958i | 0.255301 | + | 0.952798i | ||||
\(50\) | −2.75484 | − | 4.35902i | −0.389593 | − | 0.616459i | ||||
\(51\) | 6.02128 | + | 1.69436i | 0.843149 | + | 0.237258i | ||||
\(52\) | 2.88531 | − | 3.87582i | 0.400121 | − | 0.537480i | ||||
\(53\) | −2.35372 | − | 11.8330i | −0.323308 | − | 1.62538i | −0.710720 | − | 0.703475i | \(-0.751631\pi\) |
0.387412 | − | 0.921907i | \(-0.373369\pi\) | |||||||
\(54\) | −2.79515 | + | 6.79611i | −0.380371 | + | 0.924834i | ||||
\(55\) | −2.22188 | + | 5.36409i | −0.299598 | + | 0.723294i | ||||
\(56\) | −0.123273 | + | 0.863667i | −0.0164731 | + | 0.115412i | ||||
\(57\) | −2.97271 | − | 1.51247i | −0.393746 | − | 0.200332i | ||||
\(58\) | −0.123887 | + | 4.86840i | −0.0162671 | + | 0.639252i | ||||
\(59\) | 7.19292 | − | 3.54716i | 0.936439 | − | 0.461801i | 0.0909870 | − | 0.995852i | \(-0.470998\pi\) |
0.845452 | + | 0.534051i | \(0.179331\pi\) | |||||||
\(60\) | 3.89102 | − | 1.05121i | 0.502328 | − | 0.135711i | ||||
\(61\) | −9.82675 | + | 3.33573i | −1.25819 | + | 0.427097i | −0.869344 | − | 0.494207i | \(-0.835458\pi\) |
−0.388843 | + | 0.921304i | \(0.627125\pi\) | |||||||
\(62\) | −5.78671 | − | 6.94732i | −0.734912 | − | 0.882310i | ||||
\(63\) | 0.332628 | + | 0.863490i | 0.0419072 | + | 0.108790i | ||||
\(64\) | 4.14973 | − | 6.83957i | 0.518717 | − | 0.854946i | ||||
\(65\) | −2.43437 | + | 1.40548i | −0.301946 | + | 0.174329i | ||||
\(66\) | 9.40809 | + | 7.80354i | 1.15806 | + | 0.960550i | ||||
\(67\) | −1.15236 | + | 1.31402i | −0.140784 | + | 0.160533i | −0.817935 | − | 0.575311i | \(-0.804881\pi\) |
0.677151 | + | 0.735844i | \(0.263214\pi\) | |||||||
\(68\) | −7.19970 | + | 0.577326i | −0.873092 | + | 0.0700111i | ||||
\(69\) | −1.26821 | + | 2.95662i | −0.152674 | + | 0.355936i | ||||
\(70\) | 0.264867 | − | 0.432940i | 0.0316576 | − | 0.0517463i | ||||
\(71\) | −2.20113 | + | 0.911737i | −0.261226 | + | 0.108203i | −0.509453 | − | 0.860499i | \(-0.670152\pi\) |
0.248227 | + | 0.968702i | \(0.420152\pi\) | |||||||
\(72\) | 0.304383 | − | 8.47982i | 0.0358719 | − | 0.999356i | ||||
\(73\) | −14.2547 | − | 5.90448i | −1.66838 | − | 0.691068i | −0.669714 | − | 0.742619i | \(-0.733583\pi\) |
−0.998670 | + | 0.0515513i | \(0.983583\pi\) | |||||||
\(74\) | 6.02374 | + | 8.27811i | 0.700246 | + | 0.962310i | ||||
\(75\) | 6.25066 | + | 0.902551i | 0.721764 | + | 0.104218i | ||||
\(76\) | 3.82531 | + | 0.447028i | 0.438793 | + | 0.0512777i | ||||
\(77\) | 1.53589 | − | 0.100668i | 0.175031 | − | 0.0114721i | ||||
\(78\) | 1.31370 | + | 5.77016i | 0.148747 | + | 0.653342i | ||||
\(79\) | 0.851815 | − | 3.17902i | 0.0958366 | − | 0.357667i | −0.901308 | − | 0.433178i | \(-0.857392\pi\) |
0.997145 | + | 0.0755109i | \(0.0240588\pi\) | |||||||
\(80\) | −3.79273 | + | 2.69727i | −0.424041 | + | 0.301564i | ||||
\(81\) | −4.10476 | − | 8.00943i | −0.456084 | − | 0.889937i | ||||
\(82\) | −1.76575 | − | 5.67184i | −0.194994 | − | 0.626350i | ||||
\(83\) | 1.81166 | − | 3.67369i | 0.198856 | − | 0.403240i | −0.774489 | − | 0.632588i | \(-0.781993\pi\) |
0.973345 | + | 0.229348i | \(0.0736593\pi\) | |||||||
\(84\) | −0.706163 | − | 0.801879i | −0.0770487 | − | 0.0874922i | ||||
\(85\) | 3.97891 | + | 1.35066i | 0.431573 | + | 0.146499i | ||||
\(86\) | 13.0002 | − | 5.00131i | 1.40184 | − | 0.539305i | ||||
\(87\) | −4.43481 | − | 3.98841i | −0.475462 | − | 0.427602i | ||||
\(88\) | −13.3150 | − | 4.68193i | −1.41938 | − | 0.499095i | ||||
\(89\) | −5.13833 | + | 2.12836i | −0.544662 | + | 0.225606i | −0.638011 | − | 0.770027i | \(-0.720243\pi\) |
0.0933495 | + | 0.995633i | \(0.470243\pi\) | |||||||
\(90\) | −2.11663 | + | 4.45954i | −0.223112 | + | 0.470077i | ||||
\(91\) | 0.619602 | + | 0.414005i | 0.0649520 | + | 0.0433995i | ||||
\(92\) | 0.188941 | − | 3.71002i | 0.0196985 | − | 0.386797i | ||||
\(93\) | 11.0728 | + | 0.138442i | 1.14820 | + | 0.0143558i | ||||
\(94\) | −9.82303 | − | 6.93136i | −1.01317 | − | 0.714916i | ||||
\(95\) | −1.94036 | − | 1.12027i | −0.199077 | − | 0.114937i | ||||
\(96\) | 3.06758 | + | 9.30537i | 0.313084 | + | 0.949725i | ||||
\(97\) | −4.17958 | + | 2.41308i | −0.424372 | + | 0.245011i | −0.696946 | − | 0.717124i | \(-0.745458\pi\) |
0.272574 | + | 0.962135i | \(0.412125\pi\) | |||||||
\(98\) | 9.72464 | + | 0.886329i | 0.982337 | + | 0.0895328i | ||||
\(99\) | −14.7511 | + | 2.55256i | −1.48254 | + | 0.256542i | ||||
\(100\) | −7.13088 | + | 1.52672i | −0.713088 | + | 0.152672i | ||||
\(101\) | 0.383385 | − | 5.84933i | 0.0381483 | − | 0.582030i | −0.935406 | − | 0.353575i | \(-0.884966\pi\) |
0.973554 | − | 0.228455i | \(-0.0733674\pi\) | |||||||
\(102\) | 5.19011 | − | 7.16353i | 0.513898 | − | 0.709295i | ||||
\(103\) | 1.30454 | − | 9.90896i | 0.128540 | − | 0.976359i | −0.798657 | − | 0.601786i | \(-0.794456\pi\) |
0.927197 | − | 0.374573i | \(-0.122211\pi\) | |||||||
\(104\) | −3.73437 | − | 5.72263i | −0.366185 | − | 0.561150i | ||||
\(105\) | 0.192433 | + | 0.591065i | 0.0187795 | + | 0.0576820i | ||||
\(106\) | −16.8541 | − | 2.65667i | −1.63701 | − | 0.258038i | ||||
\(107\) | −3.03700 | − | 15.2680i | −0.293598 | − | 1.47601i | −0.792775 | − | 0.609515i | \(-0.791364\pi\) |
0.499177 | − | 0.866500i | \(-0.333636\pi\) | |||||||
\(108\) | 7.65412 | + | 7.02954i | 0.736518 | + | 0.676418i | ||||
\(109\) | −4.49870 | − | 6.73278i | −0.430897 | − | 0.644884i | 0.550954 | − | 0.834536i | \(-0.314264\pi\) |
−0.981851 | + | 0.189652i | \(0.939264\pi\) | |||||||
\(110\) | 6.03363 | + | 5.56917i | 0.575284 | + | 0.531000i | ||||
\(111\) | −12.5006 | − | 0.976427i | −1.18651 | − | 0.0926784i | ||||
\(112\) | 1.08601 | + | 0.585509i | 0.102618 | + | 0.0553254i | ||||
\(113\) | −1.88863 | + | 0.506056i | −0.177667 | + | 0.0476057i | −0.346556 | − | 0.938029i | \(-0.612649\pi\) |
0.168889 | + | 0.985635i | \(0.445982\pi\) | |||||||
\(114\) | −3.45948 | + | 3.20643i | −0.324010 | + | 0.300310i | ||||
\(115\) | −0.955839 | + | 1.93825i | −0.0891325 | + | 0.180743i | ||||
\(116\) | 6.40064 | + | 2.54265i | 0.594284 | + | 0.236079i | ||||
\(117\) | −6.41819 | − | 3.36715i | −0.593362 | − | 0.311293i | ||||
\(118\) | −1.19389 | − | 11.2790i | −0.109906 | − | 1.03832i | ||||
\(119\) | −0.145397 | − | 1.10440i | −0.0133285 | − | 0.101240i | ||||
\(120\) | 0.505651 | − | 5.67754i | 0.0461594 | − | 0.518286i | ||||
\(121\) | −1.81448 | + | 13.7823i | −0.164952 | + | 1.25294i | ||||
\(122\) | −0.373341 | + | 14.6712i | −0.0338007 | + | 1.32827i | ||||
\(123\) | 6.68626 | + | 2.86799i | 0.602880 | + | 0.258598i | ||||
\(124\) | −12.0471 | + | 4.28612i | −1.08186 | + | 0.384905i | ||||
\(125\) | 9.86669 | + | 1.96261i | 0.882504 | + | 0.175541i | ||||
\(126\) | 1.30848 | − | 0.0196336i | 0.116569 | − | 0.00174910i | ||||
\(127\) | 2.74800i | 0.243845i | 0.992540 | + | 0.121923i | \(0.0389060\pi\) | ||||
−0.992540 | + | 0.121923i | \(0.961094\pi\) | |||||||
\(128\) | −7.05007 | − | 8.84853i | −0.623144 | − | 0.782107i | ||||
\(129\) | −5.68512 | + | 16.0843i | −0.500547 | + | 1.41615i | ||||
\(130\) | 0.676109 | + | 3.91739i | 0.0592987 | + | 0.343578i | ||||
\(131\) | 6.12886 | + | 5.37486i | 0.535481 | + | 0.469604i | 0.883861 | − | 0.467749i | \(-0.154935\pi\) |
−0.348380 | + | 0.937353i | \(0.613268\pi\) | |||||||
\(132\) | 14.9525 | − | 8.67402i | 1.30145 | − | 0.754976i | ||||
\(133\) | −0.0388473 | + | 0.592695i | −0.00336849 | + | 0.0513932i | ||||
\(134\) | 1.18098 | + | 2.17128i | 0.102021 | + | 0.187570i | ||||
\(135\) | −2.46877 | − | 5.51875i | −0.212478 | − | 0.474978i | ||||
\(136\) | −2.75087 | + | 9.83721i | −0.235885 | + | 0.843533i | ||||
\(137\) | 4.18121 | − | 0.550467i | 0.357225 | − | 0.0470296i | 0.0502219 | − | 0.998738i | \(-0.484007\pi\) |
0.307003 | + | 0.951709i | \(0.400674\pi\) | |||||||
\(138\) | 3.30440 | + | 3.12744i | 0.281289 | + | 0.266225i | ||||
\(139\) | 19.5952 | + | 6.65168i | 1.66205 | + | 0.564189i | 0.985121 | − | 0.171863i | \(-0.0549788\pi\) |
0.676925 | + | 0.736052i | \(0.263312\pi\) | |||||||
\(140\) | −0.445194 | − | 0.563015i | −0.0376258 | − | 0.0475834i | ||||
\(141\) | 14.2691 | − | 3.63281i | 1.20167 | − | 0.305938i | ||||
\(142\) | 0.134765 | + | 3.36664i | 0.0113092 | + | 0.282523i | ||||
\(143\) | −8.52474 | + | 8.52474i | −0.712875 | + | 0.712875i | ||||
\(144\) | −11.1054 | − | 4.54639i | −0.925452 | − | 0.378866i | ||||
\(145\) | −2.83313 | − | 2.83313i | −0.235279 | − | 0.235279i | ||||
\(146\) | −14.7997 | + | 16.0339i | −1.22483 | + | 1.32698i | ||||
\(147\) | −8.56176 | + | 8.35031i | −0.706162 | + | 0.688722i | ||||
\(148\) | 13.9290 | − | 3.95060i | 1.14496 | − | 0.324738i | ||||
\(149\) | −0.848817 | + | 2.50053i | −0.0695378 | + | 0.204852i | −0.976143 | − | 0.217128i | \(-0.930331\pi\) |
0.906605 | + | 0.421979i | \(0.138665\pi\) | |||||||
\(150\) | 4.25130 | − | 7.85474i | 0.347117 | − | 0.641337i | ||||
\(151\) | −0.957514 | − | 7.27304i | −0.0779214 | − | 0.591872i | −0.985208 | − | 0.171360i | \(-0.945184\pi\) |
0.907287 | − | 0.420512i | \(-0.138149\pi\) | |||||||
\(152\) | 2.46196 | − | 4.85843i | 0.199691 | − | 0.394071i | ||||
\(153\) | 2.54158 | + | 10.5319i | 0.205474 | + | 0.851452i | ||||
\(154\) | 0.616686 | − | 2.08756i | 0.0496940 | − | 0.168220i | ||||
\(155\) | 7.42286 | + | 0.486520i | 0.596219 | + | 0.0390782i | ||||
\(156\) | 8.29969 | + | 1.07525i | 0.664507 | + | 0.0860889i | ||||
\(157\) | −9.11449 | + | 10.3931i | −0.727416 | + | 0.829459i | −0.990814 | − | 0.135228i | \(-0.956823\pi\) |
0.263399 | + | 0.964687i | \(0.415157\pi\) | |||||||
\(158\) | −3.80296 | − | 2.68346i | −0.302547 | − | 0.213485i | ||||
\(159\) | 15.8821 | − | 13.5807i | 1.25953 | − | 1.07702i | ||||
\(160\) | 1.72695 | + | 6.35121i | 0.136528 | + | 0.502107i | ||||
\(161\) | 0.572914 | 0.0451520 | ||||||||
\(162\) | −12.6350 | + | 1.53505i | −0.992701 | + | 0.120605i | ||||
\(163\) | −1.77768 | + | 8.93698i | −0.139238 | + | 0.699998i | 0.846591 | + | 0.532245i | \(0.178651\pi\) |
−0.985829 | + | 0.167754i | \(0.946349\pi\) | |||||||
\(164\) | −8.39004 | − | 0.427282i | −0.655152 | − | 0.0333651i | ||||
\(165\) | −9.98597 | + | 1.18787i | −0.777407 | + | 0.0924755i | ||||
\(166\) | −3.99059 | − | 4.19899i | −0.309730 | − | 0.325905i | ||||
\(167\) | 21.4618 | + | 2.82549i | 1.66076 | + | 0.218643i | 0.901696 | − | 0.432371i | \(-0.142323\pi\) |
0.759065 | + | 0.651014i | \(0.225656\pi\) | |||||||
\(168\) | −1.40919 | + | 0.545473i | −0.108721 | + | 0.0420841i | ||||
\(169\) | 7.10196 | − | 0.934991i | 0.546305 | − | 0.0719224i | ||||
\(170\) | 3.73626 | − | 4.62087i | 0.286558 | − | 0.354404i | ||||
\(171\) | −0.233590 | − | 5.77228i | −0.0178630 | − | 0.441417i | ||||
\(172\) | −0.286930 | − | 19.6965i | −0.0218782 | − | 1.50184i | ||||
\(173\) | 5.19745 | + | 2.56310i | 0.395155 | + | 0.194869i | 0.629000 | − | 0.777405i | \(-0.283464\pi\) |
−0.233846 | + | 0.972274i | \(0.575131\pi\) | |||||||
\(174\) | −7.45969 | + | 3.93737i | −0.565518 | + | 0.298491i | ||||
\(175\) | −0.291087 | − | 1.08635i | −0.0220041 | − | 0.0821204i | ||||
\(176\) | −12.7181 | + | 15.3841i | −0.958664 | + | 1.15962i | ||||
\(177\) | 11.4526 | + | 7.86125i | 0.860831 | + | 0.590888i | ||||
\(178\) | 0.314597 | + | 7.85912i | 0.0235800 | + | 0.589066i | ||||
\(179\) | −5.77677 | + | 3.85992i | −0.431776 | + | 0.288504i | −0.752404 | − | 0.658702i | \(-0.771106\pi\) |
0.320628 | + | 0.947205i | \(0.396106\pi\) | |||||||
\(180\) | 4.88456 | + | 4.98761i | 0.364074 | + | 0.371755i | ||||
\(181\) | −12.7319 | + | 2.53252i | −0.946351 | + | 0.188241i | −0.644060 | − | 0.764975i | \(-0.722751\pi\) |
−0.302291 | + | 0.953216i | \(0.597751\pi\) | |||||||
\(182\) | 0.852130 | − | 0.620071i | 0.0631641 | − | 0.0459627i | ||||
\(183\) | −13.3646 | − | 12.0193i | −0.987940 | − | 0.888494i | ||||
\(184\) | −4.83151 | − | 2.06312i | −0.356184 | − | 0.152095i | ||||
\(185\) | −8.35084 | − | 1.09941i | −0.613966 | − | 0.0808302i | ||||
\(186\) | 5.59286 | − | 14.6278i | 0.410088 | − | 1.07257i | ||||
\(187\) | 17.9827 | + | 1.17865i | 1.31503 | + | 0.0861915i | ||||
\(188\) | −13.9976 | + | 9.65078i | −1.02088 | + | 0.703855i | ||||
\(189\) | −1.02268 | + | 1.23406i | −0.0743890 | + | 0.0897645i | ||||
\(190\) | −2.43465 | + | 2.02792i | −0.176628 | + | 0.147121i | ||||
\(191\) | −6.29884 | − | 10.9099i | −0.455768 | − | 0.789413i | 0.542964 | − | 0.839756i | \(-0.317302\pi\) |
−0.998732 | + | 0.0503426i | \(0.983969\pi\) | |||||||
\(192\) | 13.8483 | + | 0.474524i | 0.999413 | + | 0.0342458i | ||||
\(193\) | −8.87048 | + | 15.3641i | −0.638511 | + | 1.10593i | 0.347249 | + | 0.937773i | \(0.387116\pi\) |
−0.985760 | + | 0.168160i | \(0.946217\pi\) | |||||||
\(194\) | 1.16081 | + | 6.72579i | 0.0833416 | + | 0.482883i | ||||
\(195\) | −4.18569 | − | 2.48689i | −0.299743 | − | 0.178090i | ||||
\(196\) | 5.92683 | − | 12.4732i | 0.423345 | − | 0.890944i | ||||
\(197\) | 10.9048 | − | 16.3202i | 0.776934 | − | 1.16276i | −0.205954 | − | 0.978562i | \(-0.566030\pi\) |
0.982888 | − | 0.184203i | \(-0.0589703\pi\) | |||||||
\(198\) | −3.81831 | + | 20.8241i | −0.271356 | + | 1.47990i | ||||
\(199\) | −6.21037 | − | 14.9932i | −0.440241 | − | 1.06284i | −0.975864 | − | 0.218379i | \(-0.929923\pi\) |
0.535623 | − | 0.844457i | \(-0.320077\pi\) | |||||||
\(200\) | −1.45725 | + | 10.2097i | −0.103043 | + | 0.721932i | ||||
\(201\) | −2.96139 | − | 0.627643i | −0.208880 | − | 0.0442705i | ||||
\(202\) | −7.57573 | − | 3.36623i | −0.533027 | − | 0.236847i | ||||
\(203\) | −0.341422 | + | 1.00580i | −0.0239631 | + | 0.0705931i | ||||
\(204\) | −6.97179 | − | 10.3875i | −0.488123 | − | 0.727273i | ||||
\(205\) | 4.38326 | + | 2.16159i | 0.306140 | + | 0.150972i | ||||
\(206\) | −12.5135 | − | 6.57190i | −0.871860 | − | 0.457886i | ||||
\(207\) | −5.54103 | + | 0.588972i | −0.385128 | + | 0.0409364i | ||||
\(208\) | −9.41913 | + | 2.16059i | −0.653099 | + | 0.149810i | ||||
\(209\) | −9.28188 | − | 2.48707i | −0.642041 | − | 0.172034i | ||||
\(210\) | 0.878444 | + | 0.0333476i | 0.0606184 | + | 0.00230120i | ||||
\(211\) | −1.03039 | − | 15.7208i | −0.0709352 | − | 1.08226i | −0.873859 | − | 0.486180i | \(-0.838390\pi\) |
0.802923 | − | 0.596082i | \(-0.203277\pi\) | |||||||
\(212\) | −11.7591 | + | 21.0703i | −0.807619 | + | 1.44712i | ||||
\(213\) | −3.24218 | − | 2.55284i | −0.222150 | − | 0.174918i | ||||
\(214\) | −21.7467 | − | 3.42789i | −1.48658 | − | 0.234326i | ||||
\(215\) | −4.38546 | + | 10.5874i | −0.299086 | + | 0.722057i | ||||
\(216\) | 13.0684 | − | 6.72431i | 0.889193 | − | 0.457531i | ||||
\(217\) | −0.754662 | − | 1.82192i | −0.0512298 | − | 0.123680i | ||||
\(218\) | −11.1331 | + | 2.68152i | −0.754031 | + | 0.181616i | ||||
\(219\) | −3.15668 | − | 26.5370i | −0.213308 | − | 1.79320i | ||||
\(220\) | 10.3387 | − | 5.28705i | 0.697032 | − | 0.356453i | ||||
\(221\) | 6.55975 | + | 5.75275i | 0.441256 | + | 0.386972i | ||||
\(222\) | −7.40248 | + | 16.1134i | −0.496822 | + | 1.08146i | ||||
\(223\) | 3.14999 | + | 5.45594i | 0.210939 | + | 0.365357i | 0.952009 | − | 0.306071i | \(-0.0990146\pi\) |
−0.741070 | + | 0.671428i | \(0.765681\pi\) | |||||||
\(224\) | 1.30758 | − | 1.15529i | 0.0873667 | − | 0.0771909i | ||||
\(225\) | 3.93209 | + | 10.2076i | 0.262140 | + | 0.680505i | ||||
\(226\) | −0.250982 | + | 2.75373i | −0.0166951 | + | 0.183175i | ||||
\(227\) | 2.12868 | + | 6.27089i | 0.141285 | + | 0.416213i | 0.994422 | − | 0.105474i | \(-0.0336360\pi\) |
−0.853137 | + | 0.521688i | \(0.825303\pi\) | |||||||
\(228\) | 2.56549 | + | 6.15765i | 0.169904 | + | 0.407800i | ||||
\(229\) | −8.08684 | − | 16.3985i | −0.534393 | − | 1.08364i | −0.981907 | − | 0.189365i | \(-0.939357\pi\) |
0.447514 | − | 0.894277i | \(-0.352310\pi\) | |||||||
\(230\) | 2.10545 | + | 2.21540i | 0.138829 | + | 0.146079i | ||||
\(231\) | 1.45329 | + | 2.23500i | 0.0956197 | + | 0.147052i | ||||
\(232\) | 6.50125 | − | 7.25261i | 0.426828 | − | 0.476157i | ||||
\(233\) | −17.5082 | − | 7.25211i | −1.14700 | − | 0.475102i | −0.273472 | − | 0.961880i | \(-0.588172\pi\) |
−0.873526 | + | 0.486778i | \(0.838172\pi\) | |||||||
\(234\) | −7.60406 | + | 6.87312i | −0.497093 | + | 0.449310i | ||||
\(235\) | 9.70101 | − | 1.92965i | 0.632824 | − | 0.125876i | ||||
\(236\) | −15.5523 | − | 3.92534i | −1.01237 | − | 0.255518i | ||||
\(237\) | 5.52423 | − | 1.40643i | 0.358837 | − | 0.0913576i | ||||
\(238\) | −1.53674 | − | 0.346537i | −0.0996123 | − | 0.0224627i | ||||
\(239\) | 5.08581 | − | 1.36274i | 0.328973 | − | 0.0881482i | −0.0905521 | − | 0.995892i | \(-0.528863\pi\) |
0.419525 | + | 0.907744i | \(0.362196\pi\) | |||||||
\(240\) | −7.28801 | − | 3.44458i | −0.470439 | − | 0.222347i | ||||
\(241\) | 23.7887 | + | 6.37417i | 1.53237 | + | 0.410596i | 0.923790 | − | 0.382899i | \(-0.125074\pi\) |
0.608576 | + | 0.793496i | \(0.291741\pi\) | |||||||
\(242\) | 17.4050 | + | 9.14082i | 1.11884 | + | 0.587594i | ||||
\(243\) | 8.62236 | − | 12.9867i | 0.553124 | − | 0.833099i | ||||
\(244\) | 19.2888 | + | 7.66244i | 1.23484 | + | 0.490537i | ||||
\(245\) | −6.04019 | + | 5.29710i | −0.385893 | + | 0.338419i | ||||
\(246\) | 7.07256 | − | 7.47274i | 0.450930 | − | 0.476445i | ||||
\(247\) | −2.83214 | − | 3.69092i | −0.180205 | − | 0.234847i | ||||
\(248\) | −0.196654 | + | 18.0822i | −0.0124875 | + | 1.14822i | ||||
\(249\) | 7.08473 | − | 0.375471i | 0.448977 | − | 0.0237945i | ||||
\(250\) | 7.42462 | − | 12.1360i | 0.469574 | − | 0.767547i | ||||
\(251\) | 14.8450 | + | 9.91911i | 0.937008 | + | 0.626089i | 0.927483 | − | 0.373866i | \(-0.121968\pi\) |
0.00952514 | + | 0.999955i | \(0.496968\pi\) | |||||||
\(252\) | 0.613142 | − | 1.74616i | 0.0386243 | − | 0.109998i | ||||
\(253\) | −1.80824 | + | 9.09062i | −0.113683 | + | 0.571522i | ||||
\(254\) | 3.64704 | + | 1.34241i | 0.228836 | + | 0.0842301i | ||||
\(255\) | 1.33050 | + | 7.15526i | 0.0833191 | + | 0.448080i | ||||
\(256\) | −15.1874 | + | 5.03406i | −0.949215 | + | 0.314629i | ||||
\(257\) | 18.3525 | + | 10.5958i | 1.14480 | + | 0.660951i | 0.947615 | − | 0.319415i | \(-0.103487\pi\) |
0.197185 | + | 0.980366i | \(0.436820\pi\) | |||||||
\(258\) | 18.5693 | + | 15.4023i | 1.15608 | + | 0.958908i | ||||
\(259\) | 0.717747 | + | 2.11442i | 0.0445986 | + | 0.131383i | ||||
\(260\) | 5.52930 | + | 1.01635i | 0.342913 | + | 0.0630316i | ||||
\(261\) | 2.26813 | − | 10.0787i | 0.140394 | − | 0.623856i | ||||
\(262\) | 10.1273 | − | 5.50836i | 0.625666 | − | 0.340307i | ||||
\(263\) | −0.691532 | − | 0.530631i | −0.0426417 | − | 0.0327201i | 0.587221 | − | 0.809427i | \(-0.300222\pi\) |
−0.629862 | + | 0.776707i | \(0.716889\pi\) | |||||||
\(264\) | −4.20750 | − | 24.0817i | −0.258954 | − | 1.48212i | ||||
\(265\) | 11.1367 | − | 8.54548i | 0.684121 | − | 0.524945i | ||||
\(266\) | 0.767627 | + | 0.341091i | 0.0470662 | + | 0.0209136i | ||||
\(267\) | −7.56856 | − | 5.95936i | −0.463188 | − | 0.364707i | ||||
\(268\) | 3.45855 | − | 0.506682i | 0.211265 | − | 0.0309505i | ||||
\(269\) | −6.20615 | − | 9.28817i | −0.378396 | − | 0.566309i | 0.592573 | − | 0.805517i | \(-0.298112\pi\) |
−0.970968 | + | 0.239208i | \(0.923112\pi\) | |||||||
\(270\) | −8.53029 | + | 0.580538i | −0.519137 | + | 0.0353304i | ||||
\(271\) | −0.326587 | − | 0.326587i | −0.0198387 | − | 0.0198387i | 0.697118 | − | 0.716957i | \(-0.254465\pi\) |
−0.716957 | + | 0.697118i | \(0.754465\pi\) | |||||||
\(272\) | 11.7118 | + | 8.45637i | 0.710131 | + | 0.512743i | ||||
\(273\) | −0.100511 | + | 1.28679i | −0.00608322 | + | 0.0778798i | ||||
\(274\) | 1.31198 | − | 5.81806i | 0.0792595 | − | 0.351482i | ||||
\(275\) | 18.1562 | − | 1.19002i | 1.09486 | − | 0.0717610i | ||||
\(276\) | 5.76484 | − | 2.85771i | 0.347002 | − | 0.172014i | ||||
\(277\) | 11.7212 | − | 10.2792i | 0.704260 | − | 0.617619i | −0.230428 | − | 0.973089i | \(-0.574013\pi\) |
0.934688 | + | 0.355470i | \(0.115679\pi\) | |||||||
\(278\) | 18.4002 | − | 22.7567i | 1.10357 | − | 1.36486i | ||||
\(279\) | 9.17181 | + | 16.8451i | 0.549102 | + | 1.00849i | ||||
\(280\) | −0.964692 | + | 0.315811i | −0.0576514 | + | 0.0188733i | ||||
\(281\) | −11.5190 | − | 8.83887i | −0.687168 | − | 0.527283i | 0.205127 | − | 0.978735i | \(-0.434239\pi\) |
−0.892295 | + | 0.451453i | \(0.850906\pi\) | |||||||
\(282\) | 2.14916 | − | 20.7120i | 0.127981 | − | 1.23338i | ||||
\(283\) | 16.5095 | − | 8.14159i | 0.981389 | − | 0.483968i | 0.120474 | − | 0.992716i | \(-0.461559\pi\) |
0.860915 | + | 0.508749i | \(0.169892\pi\) | |||||||
\(284\) | 4.53392 | + | 1.46576i | 0.269039 | + | 0.0869770i | ||||
\(285\) | 0.0485164 | − | 3.88042i | 0.00287386 | − | 0.229856i | ||||
\(286\) | 7.14936 | + | 15.4781i | 0.422751 | + | 0.915239i | ||||
\(287\) | − | 1.29562i | − | 0.0764780i | ||||||
\(288\) | −11.4588 | + | 12.5178i | −0.675219 | + | 0.737617i | ||||
\(289\) | 3.95776i | 0.232809i | ||||||||
\(290\) | −5.14402 | + | 2.37603i | −0.302067 | + | 0.139526i | ||||
\(291\) | −7.18642 | − | 4.26976i | −0.421276 | − | 0.250298i | ||||
\(292\) | 14.0500 | + | 27.4742i | 0.822212 | + | 1.60781i | ||||
\(293\) | 19.7243 | − | 9.72695i | 1.15231 | − | 0.568255i | 0.237198 | − | 0.971461i | \(-0.423771\pi\) |
0.915109 | + | 0.403207i | \(0.132104\pi\) | |||||||
\(294\) | 6.89978 | + | 15.4420i | 0.402403 | + | 0.900596i | ||||
\(295\) | 7.40306 | + | 5.68057i | 0.431023 | + | 0.330736i | ||||
\(296\) | 1.56128 | − | 20.4160i | 0.0907477 | − | 1.18665i | ||||
\(297\) | −16.3534 | − | 20.1221i | −0.948921 | − | 1.16760i | ||||
\(298\) | 2.90397 | + | 2.34804i | 0.168222 | + | 0.136018i | ||||
\(299\) | −3.37381 | + | 2.95875i | −0.195112 | + | 0.171109i | ||||
\(300\) | −8.34776 | − | 9.47925i | −0.481958 | − | 0.547285i | ||||
\(301\) | 3.03148 | − | 0.198694i | 0.174732 | − | 0.0114525i | ||||
\(302\) | −10.1203 | − | 2.28213i | −0.582356 | − | 0.131322i | ||||
\(303\) | 9.16145 | − | 4.37640i | 0.526311 | − | 0.251417i | ||||
\(304\) | −5.24526 | − | 5.64078i | −0.300836 | − | 0.323521i | ||||
\(305\) | −8.53783 | − | 8.53783i | −0.488875 | − | 0.488875i | ||||
\(306\) | 15.2191 | + | 1.77177i | 0.870018 | + | 0.101286i | ||||
\(307\) | 4.95306 | + | 7.41278i | 0.282686 | + | 0.423070i | 0.945454 | − | 0.325755i | \(-0.105618\pi\) |
−0.662768 | + | 0.748825i | \(0.730618\pi\) | |||||||
\(308\) | −2.46928 | − | 1.83822i | −0.140700 | − | 0.104742i | ||||
\(309\) | 16.0748 | − | 6.42414i | 0.914462 | − | 0.365457i | ||||
\(310\) | 4.27179 | − | 9.61369i | 0.242621 | − | 0.546021i | ||||
\(311\) | −21.1205 | + | 16.2063i | −1.19763 | + | 0.918977i | −0.998142 | − | 0.0609229i | \(-0.980596\pi\) |
−0.199491 | + | 0.979900i | \(0.563929\pi\) | |||||||
\(312\) | 5.48146 | − | 10.4898i | 0.310327 | − | 0.593867i | ||||
\(313\) | 17.1932 | + | 13.1928i | 0.971817 | + | 0.745702i | 0.967129 | − | 0.254287i | \(-0.0818409\pi\) |
0.00468849 | + | 0.999989i | \(0.498508\pi\) | |||||||
\(314\) | 9.34087 | + | 17.1735i | 0.527136 | + | 0.969156i | ||||
\(315\) | −0.729897 | + | 0.791463i | −0.0411250 | + | 0.0445939i | ||||
\(316\) | −5.41915 | + | 3.73627i | −0.304851 | + | 0.210182i | ||||
\(317\) | −4.86802 | − | 14.3407i | −0.273415 | − | 0.805455i | −0.993730 | − | 0.111808i | \(-0.964336\pi\) |
0.720315 | − | 0.693647i | \(-0.243997\pi\) | |||||||
\(318\) | −10.2654 | − | 27.7124i | −0.575655 | − | 1.55403i | ||||
\(319\) | −14.8817 | − | 8.59195i | −0.833215 | − | 0.481057i | ||||
\(320\) | 9.27271 | + | 0.810637i | 0.518361 | + | 0.0453160i | ||||
\(321\) | 20.4926 | − | 17.5232i | 1.14378 | − | 0.978047i | ||||
\(322\) | 0.279871 | − | 0.760351i | 0.0155966 | − | 0.0423727i | ||||
\(323\) | −1.35673 | + | 6.82074i | −0.0754905 | + | 0.379516i | ||||
\(324\) | −4.13499 | + | 17.5186i | −0.229722 | + | 0.973256i | ||||
\(325\) | 7.32450 | + | 4.89407i | 0.406290 | + | 0.271474i | ||||
\(326\) | 10.9924 | + | 6.72502i | 0.608815 | + | 0.372464i | ||||
\(327\) | 6.35996 | − | 12.5003i | 0.351707 | − | 0.691267i | ||||
\(328\) | −4.66564 | + | 10.9262i | −0.257617 | + | 0.603300i | ||||
\(329\) | −1.59625 | − | 2.08027i | −0.0880040 | − | 0.114689i | ||||
\(330\) | −3.30169 | + | 13.8333i | −0.181752 | + | 0.761498i | ||||
\(331\) | −10.6122 | + | 9.30669i | −0.583302 | + | 0.511542i | −0.899366 | − | 0.437196i | \(-0.855972\pi\) |
0.316065 | + | 0.948738i | \(0.397638\pi\) | |||||||
\(332\) | −7.52216 | + | 3.24494i | −0.412832 | + | 0.178089i | ||||
\(333\) | −9.11548 | − | 19.7120i | −0.499525 | − | 1.08021i | ||||
\(334\) | 14.2340 | − | 27.1030i | 0.778852 | − | 1.48301i | ||||
\(335\) | −1.96422 | − | 0.526311i | −0.107317 | − | 0.0287554i | ||||
\(336\) | 0.0355382 | + | 2.13669i | 0.00193877 | + | 0.116566i | ||||
\(337\) | −6.42222 | + | 1.72083i | −0.349841 | + | 0.0937395i | −0.429460 | − | 0.903086i | \(-0.641296\pi\) |
0.0796195 | + | 0.996825i | \(0.474629\pi\) | |||||||
\(338\) | 2.22845 | − | 9.88221i | 0.121212 | − | 0.537522i | ||||
\(339\) | −2.36456 | − | 2.42443i | −0.128425 | − | 0.131677i | ||||
\(340\) | −4.30747 | − | 7.21594i | −0.233605 | − | 0.391339i | ||||
\(341\) | 31.2908 | − | 6.22413i | 1.69449 | − | 0.337055i | ||||
\(342\) | −7.77487 | − | 2.50977i | −0.420417 | − | 0.135713i | ||||
\(343\) | 3.96244 | + | 1.64130i | 0.213952 | + | 0.0886217i | ||||
\(344\) | −26.2807 | − | 9.24102i | −1.41696 | − | 0.498242i | ||||
\(345\) | −3.73793 | + | 0.198099i | −0.201243 | + | 0.0106653i | ||||
\(346\) | 5.94062 | − | 5.64578i | 0.319370 | − | 0.303519i | ||||
\(347\) | −6.13191 | − | 12.4343i | −0.329178 | − | 0.667507i | 0.667871 | − | 0.744277i | \(-0.267206\pi\) |
−0.997049 | + | 0.0767702i | \(0.975539\pi\) | |||||||
\(348\) | 1.58145 | + | 11.8237i | 0.0847747 | + | 0.633814i | ||||
\(349\) | 10.9743 | + | 32.3291i | 0.587439 | + | 1.73054i | 0.678409 | + | 0.734685i | \(0.262670\pi\) |
−0.0909703 | + | 0.995854i | \(0.528997\pi\) | |||||||
\(350\) | −1.58396 | − | 0.144367i | −0.0846664 | − | 0.00771672i | ||||
\(351\) | −0.350741 | − | 12.5487i | −0.0187212 | − | 0.669799i | ||||
\(352\) | 14.2043 | + | 24.3942i | 0.757093 | + | 1.30022i | ||||
\(353\) | −3.61599 | − | 6.26307i | −0.192460 | − | 0.333350i | 0.753605 | − | 0.657327i | \(-0.228313\pi\) |
−0.946065 | + | 0.323978i | \(0.894980\pi\) | |||||||
\(354\) | 16.0278 | − | 11.3592i | 0.851869 | − | 0.603737i | ||||
\(355\) | −2.08413 | − | 1.82774i | −0.110614 | − | 0.0970061i | ||||
\(356\) | 10.5840 | + | 3.42169i | 0.560952 | + | 0.181349i | ||||
\(357\) | 1.54524 | − | 1.15530i | 0.0817830 | − | 0.0611451i | ||||
\(358\) | 2.30077 | + | 9.55231i | 0.121599 | + | 0.504855i | ||||
\(359\) | 13.5619 | + | 32.7413i | 0.715770 | + | 1.72802i | 0.685054 | + | 0.728493i | \(0.259779\pi\) |
0.0307159 | + | 0.999528i | \(0.490221\pi\) | |||||||
\(360\) | 9.00550 | − | 4.04615i | 0.474632 | − | 0.213251i | ||||
\(361\) | −5.85192 | + | 14.1278i | −0.307996 | + | 0.743567i | ||||
\(362\) | −2.85849 | + | 18.1344i | −0.150239 | + | 0.953123i | ||||
\(363\) | −22.3583 | + | 8.93530i | −1.17351 | + | 0.468981i | ||||
\(364\) | −0.406667 | − | 1.43382i | −0.0213151 | − | 0.0751528i | ||||
\(365\) | −1.17412 | − | 17.9135i | −0.0614560 | − | 0.937638i | ||||
\(366\) | −22.4803 | + | 11.8655i | −1.17506 | + | 0.620221i | ||||
\(367\) | −20.0429 | − | 5.37049i | −1.04623 | − | 0.280337i | −0.305538 | − | 0.952180i | \(-0.598836\pi\) |
−0.740694 | + | 0.671843i | \(0.765503\pi\) | |||||||
\(368\) | −5.09830 | + | 5.40436i | −0.265767 | + | 0.281722i | ||||
\(369\) | 1.33193 | + | 12.5308i | 0.0693376 | + | 0.652326i | ||||
\(370\) | −5.53851 | + | 10.5459i | −0.287934 | + | 0.548254i | ||||
\(371\) | −3.33757 | − | 1.64591i | −0.173278 | − | 0.0854513i | ||||
\(372\) | −16.6814 | − | 14.5684i | −0.864891 | − | 0.755336i | ||||
\(373\) | 6.27929 | − | 18.4982i | 0.325129 | − | 0.957800i | −0.654339 | − | 0.756201i | \(-0.727053\pi\) |
0.979468 | − | 0.201599i | \(-0.0646137\pi\) | |||||||
\(374\) | 10.3489 | − | 23.2903i | 0.535129 | − | 1.20431i | ||||
\(375\) | 5.39418 | + | 16.5684i | 0.278554 | + | 0.855591i | ||||
\(376\) | 5.97026 | + | 23.2916i | 0.307893 | + | 1.20117i | ||||
\(377\) | −3.18373 | − | 7.68622i | −0.163971 | − | 0.395860i | ||||
\(378\) | 1.13821 | + | 1.96010i | 0.0585434 | + | 0.100817i | ||||
\(379\) | 7.23986 | − | 10.8352i | 0.371886 | − | 0.556567i | −0.597574 | − | 0.801813i | \(-0.703869\pi\) |
0.969461 | + | 0.245246i | \(0.0788688\pi\) | |||||||
\(380\) | 1.50205 | + | 4.22183i | 0.0770534 | + | 0.216575i | ||||
\(381\) | −4.15143 | + | 2.32812i | −0.212684 | + | 0.119273i | ||||
\(382\) | −17.5562 | + | 3.03006i | −0.898256 | + | 0.155031i | ||||
\(383\) | −1.58734 | + | 2.74935i | −0.0811091 | + | 0.140485i | −0.903727 | − | 0.428110i | \(-0.859180\pi\) |
0.822617 | + | 0.568595i | \(0.192513\pi\) | |||||||
\(384\) | 7.39471 | − | 18.1471i | 0.377360 | − | 0.926067i | ||||
\(385\) | 0.895430 | + | 1.55093i | 0.0456353 | + | 0.0790427i | ||||
\(386\) | 16.0574 | + | 19.2780i | 0.817302 | + | 0.981224i | ||||
\(387\) | −29.1152 | + | 5.03815i | −1.48001 | + | 0.256104i | ||||
\(388\) | 9.49328 | + | 1.74498i | 0.481948 | + | 0.0885880i | ||||
\(389\) | 25.4093 | + | 1.66541i | 1.28830 | + | 0.0844397i | 0.694101 | − | 0.719877i | \(-0.255802\pi\) |
0.594200 | + | 0.804317i | \(0.297469\pi\) | |||||||
\(390\) | −5.34524 | + | 4.34024i | −0.270667 | + | 0.219777i | ||||
\(391\) | 6.65049 | + | 0.875554i | 0.336330 | + | 0.0442786i | ||||
\(392\) | −13.6587 | − | 13.9591i | −0.689870 | − | 0.705040i | ||||
\(393\) | −2.92746 | + | 13.8125i | −0.147671 | + | 0.696750i | ||||
\(394\) | −16.3325 | − | 22.4449i | −0.822820 | − | 1.13076i | ||||
\(395\) | 3.75572 | − | 0.747059i | 0.188971 | − | 0.0375886i | ||||
\(396\) | 25.7717 | + | 15.2402i | 1.29508 | + | 0.765847i | ||||
\(397\) | 10.2178 | − | 6.82731i | 0.512816 | − | 0.342653i | −0.272085 | − | 0.962273i | \(-0.587713\pi\) |
0.784902 | + | 0.619620i | \(0.212713\pi\) | |||||||
\(398\) | −22.9322 | + | 0.917964i | −1.14949 | + | 0.0460134i | ||||
\(399\) | −0.928302 | + | 0.443447i | −0.0464732 | + | 0.0222001i | ||||
\(400\) | 12.8380 | + | 6.92147i | 0.641901 | + | 0.346073i | ||||
\(401\) | −6.85510 | − | 25.5836i | −0.342328 | − | 1.27758i | −0.895703 | − | 0.444652i | \(-0.853327\pi\) |
0.553376 | − | 0.832932i | \(-0.313339\pi\) | |||||||
\(402\) | −2.27963 | + | 3.62364i | −0.113698 | + | 0.180731i | ||||
\(403\) | 13.8532 | + | 6.83162i | 0.690075 | + | 0.340307i | ||||
\(404\) | −8.16832 | + | 8.40982i | −0.406389 | + | 0.418404i | ||||
\(405\) | 6.24567 | − | 8.40511i | 0.310350 | − | 0.417653i | ||||
\(406\) | 1.16807 | + | 0.944458i | 0.0579704 | + | 0.0468727i | ||||
\(407\) | −35.8155 | + | 4.71520i | −1.77531 | + | 0.233724i | ||||
\(408\) | −17.1917 | + | 4.17836i | −0.851117 | + | 0.206860i | ||||
\(409\) | −19.0587 | − | 2.50912i | −0.942391 | − | 0.124068i | −0.356353 | − | 0.934351i | \(-0.615980\pi\) |
−0.586038 | + | 0.810283i | \(0.699313\pi\) | |||||||
\(410\) | 5.01002 | − | 4.76137i | 0.247427 | − | 0.235147i | ||||
\(411\) | 4.37394 | + | 5.85024i | 0.215750 | + | 0.288571i | ||||
\(412\) | −14.8349 | + | 13.3971i | −0.730863 | + | 0.660029i | ||||
\(413\) | 0.482604 | − | 2.42622i | 0.0237474 | − | 0.119386i | ||||
\(414\) | −1.92515 | + | 7.64157i | −0.0946161 | + | 0.375563i | ||||
\(415\) | 4.76587 | 0.233947 | ||||||||
\(416\) | −1.73382 | + | 13.5562i | −0.0850076 | + | 0.664647i | ||||
\(417\) | 6.55241 | + | 35.2380i | 0.320873 | + | 1.72561i | ||||
\(418\) | −7.83498 | + | 11.1036i | −0.383222 | + | 0.543096i | ||||
\(419\) | −9.16899 | + | 10.4552i | −0.447934 | + | 0.510771i | −0.931103 | − | 0.364756i | \(-0.881152\pi\) |
0.483169 | + | 0.875527i | \(0.339486\pi\) | |||||||
\(420\) | 0.473381 | − | 1.14955i | 0.0230986 | − | 0.0560922i | ||||
\(421\) | −25.4238 | − | 1.66636i | −1.23908 | − | 0.0812137i | −0.568270 | − | 0.822842i | \(-0.692387\pi\) |
−0.670811 | + | 0.741628i | \(0.734054\pi\) | |||||||
\(422\) | −21.3674 | − | 6.31215i | −1.04015 | − | 0.307271i | ||||
\(423\) | 17.5769 | + | 18.4787i | 0.854620 | + | 0.898464i | ||||
\(424\) | 22.2194 | + | 25.8992i | 1.07907 | + | 1.25778i | ||||
\(425\) | −1.71878 | − | 13.0554i | −0.0833729 | − | 0.633280i | ||||
\(426\) | −4.97185 | + | 3.05583i | −0.240887 | + | 0.148055i | ||||
\(427\) | −1.02890 | + | 3.03103i | −0.0497918 | + | 0.146682i | ||||
\(428\) | −15.1727 | + | 27.1870i | −0.733402 | + | 1.31413i | ||||
\(429\) | −20.1006 | − | 5.65621i | −0.970467 | − | 0.273084i | ||||
\(430\) | 11.9090 | + | 10.9922i | 0.574301 | + | 0.530092i | ||||
\(431\) | 18.7556 | + | 18.7556i | 0.903427 | + | 0.903427i | 0.995731 | − | 0.0923037i | \(-0.0294230\pi\) |
−0.0923037 | + | 0.995731i | \(0.529423\pi\) | |||||||
\(432\) | −2.54029 | − | 20.6288i | −0.122220 | − | 0.992503i | ||||
\(433\) | 6.31623 | − | 6.31623i | 0.303539 | − | 0.303539i | −0.538858 | − | 0.842397i | \(-0.681144\pi\) |
0.842397 | + | 0.538858i | \(0.181144\pi\) | |||||||
\(434\) | −2.78664 | + | 0.111548i | −0.133763 | + | 0.00535446i | ||||
\(435\) | 1.87980 | − | 6.68028i | 0.0901293 | − | 0.320295i | ||||
\(436\) | −1.87976 | + | 16.0854i | −0.0900240 | + | 0.770353i | ||||
\(437\) | −3.38695 | − | 1.14971i | −0.162020 | − | 0.0549983i | ||||
\(438\) | −36.7610 | − | 8.77400i | −1.75651 | − | 0.419238i | ||||
\(439\) | 16.2007 | − | 2.13286i | 0.773217 | − | 0.101796i | 0.266415 | − | 0.963858i | \(-0.414161\pi\) |
0.506802 | + | 0.862063i | \(0.330828\pi\) | |||||||
\(440\) | −1.96631 | − | 16.3038i | −0.0937403 | − | 0.777255i | ||||
\(441\) | −19.8685 | − | 5.85991i | −0.946117 | − | 0.279043i | ||||
\(442\) | 10.8393 | − | 5.89562i | 0.515573 | − | 0.280426i | ||||
\(443\) | −0.696320 | + | 10.6238i | −0.0330831 | + | 0.504751i | 0.948875 | + | 0.315652i | \(0.102223\pi\) |
−0.981958 | + | 0.189099i | \(0.939443\pi\) | |||||||
\(444\) | 17.7690 | + | 17.6957i | 0.843277 | + | 0.839803i | ||||
\(445\) | −4.86521 | − | 4.26668i | −0.230633 | − | 0.202260i | ||||
\(446\) | 8.77971 | − | 1.51530i | 0.415731 | − | 0.0717517i | ||||
\(447\) | −4.49670 | + | 0.836149i | −0.212687 | + | 0.0395485i | ||||
\(448\) | −0.894497 | − | 2.29974i | −0.0422610 | − | 0.108653i | ||||
\(449\) | − | 16.9414i | − | 0.799514i | −0.916621 | − | 0.399757i | \(-0.869095\pi\) | ||
0.916621 | − | 0.399757i | \(-0.130905\pi\) | |||||||
\(450\) | 15.4680 | − | 0.232094i | 0.729167 | − | 0.0109410i | ||||
\(451\) | 20.5580 | + | 4.08924i | 0.968039 | + | 0.192555i | ||||
\(452\) | 3.53204 | + | 1.67830i | 0.166133 | + | 0.0789406i | ||||
\(453\) | 10.1762 | − | 7.60828i | 0.478122 | − | 0.357468i | ||||
\(454\) | 9.36236 | + | 0.238245i | 0.439397 | + | 0.0111814i | ||||
\(455\) | −0.113171 | + | 0.859618i | −0.00530553 | + | 0.0402995i | ||||
\(456\) | 9.42546 | − | 0.396787i | 0.441388 | − | 0.0185812i | ||||
\(457\) | −3.09656 | − | 23.5207i | −0.144851 | − | 1.10025i | −0.897243 | − | 0.441537i | \(-0.854433\pi\) |
0.752392 | − | 0.658716i | \(-0.228900\pi\) | |||||||
\(458\) | −25.7139 | + | 2.72184i | −1.20153 | + | 0.127183i | ||||
\(459\) | −13.7574 | + | 12.7622i | −0.642139 | + | 0.595691i | ||||
\(460\) | 3.96871 | − | 1.71204i | 0.185042 | − | 0.0798243i | ||||
\(461\) | −11.0691 | + | 22.4459i | −0.515540 | + | 1.04541i | 0.471037 | + | 0.882114i | \(0.343880\pi\) |
−0.986577 | + | 0.163298i | \(0.947787\pi\) | |||||||
\(462\) | 3.67615 | − | 0.836954i | 0.171030 | − | 0.0389386i | ||||
\(463\) | −0.0531488 | + | 0.0142412i | −0.00247003 | + | 0.000661844i | −0.260054 | − | 0.965594i | \(-0.583740\pi\) |
0.257584 | + | 0.966256i | \(0.417074\pi\) | |||||||
\(464\) | −6.44951 | − | 12.1711i | −0.299411 | − | 0.565031i | ||||
\(465\) | 5.55369 | + | 11.6260i | 0.257546 | + | 0.539142i | ||||
\(466\) | −18.1775 | + | 19.6935i | −0.842058 | + | 0.912284i | ||||
\(467\) | −5.47581 | − | 8.19513i | −0.253390 | − | 0.379225i | 0.682866 | − | 0.730544i | \(-0.260733\pi\) |
−0.936256 | + | 0.351319i | \(0.885733\pi\) | |||||||
\(468\) | 5.40715 | + | 13.4494i | 0.249946 | + | 0.621698i | ||||
\(469\) | 0.105170 | + | 0.528726i | 0.00485631 | + | 0.0244143i | ||||
\(470\) | 2.17802 | − | 13.8175i | 0.100464 | − | 0.637352i | ||||
\(471\) | −23.4228 | − | 4.96428i | −1.07926 | − | 0.228742i | ||||
\(472\) | −12.8069 | + | 18.7229i | −0.589486 | + | 0.861791i | ||||
\(473\) | −6.41525 | + | 48.7287i | −0.294973 | + | 2.24055i | ||||
\(474\) | 0.832041 | − | 8.01861i | 0.0382169 | − | 0.368307i | ||||
\(475\) | −0.459225 | + | 7.00643i | −0.0210707 | + | 0.321477i | ||||
\(476\) | −1.21062 | + | 1.87023i | −0.0554885 | + | 0.0857217i | ||||
\(477\) | 33.9719 | + | 12.4875i | 1.55547 | + | 0.571766i | ||||
\(478\) | 0.675859 | − | 7.41540i | 0.0309131 | − | 0.339173i | ||||
\(479\) | −25.6389 | + | 14.8026i | −1.17147 | + | 0.676349i | −0.954026 | − | 0.299723i | \(-0.903106\pi\) |
−0.217445 | + | 0.976073i | \(0.569772\pi\) | |||||||
\(480\) | −8.13175 | + | 7.98970i | −0.371162 | + | 0.364678i | ||||
\(481\) | −15.1463 | − | 8.74475i | −0.690614 | − | 0.398726i | ||||
\(482\) | 20.0804 | − | 28.4577i | 0.914639 | − | 1.29621i | ||||
\(483\) | 0.485376 | + | 0.865507i | 0.0220854 | + | 0.0393819i | ||||
\(484\) | 20.6338 | − | 18.6340i | 0.937899 | − | 0.846999i | ||||
\(485\) | −4.66894 | − | 3.11969i | −0.212006 | − | 0.141658i | ||||
\(486\) | −13.0235 | − | 17.7873i | −0.590756 | − | 0.806850i | ||||
\(487\) | −13.4879 | + | 5.58689i | −0.611197 | + | 0.253166i | −0.666740 | − | 0.745290i | \(-0.732311\pi\) |
0.0555431 | + | 0.998456i | \(0.482311\pi\) | |||||||
\(488\) | 19.5919 | − | 21.8562i | 0.886885 | − | 0.989384i | ||||
\(489\) | −15.0072 | + | 4.88590i | −0.678651 | + | 0.220948i | ||||
\(490\) | 4.07947 | + | 10.6040i | 0.184292 | + | 0.479039i | ||||
\(491\) | −31.8037 | − | 10.7959i | −1.43528 | − | 0.487212i | −0.507928 | − | 0.861400i | \(-0.669588\pi\) |
−0.927353 | + | 0.374188i | \(0.877922\pi\) | |||||||
\(492\) | −6.46258 | − | 13.0369i | −0.291356 | − | 0.587749i | ||||
\(493\) | −5.50039 | + | 11.1537i | −0.247725 | + | 0.502337i | ||||
\(494\) | −6.28196 | + | 1.95569i | −0.282639 | + | 0.0879905i | ||||
\(495\) | −10.2547 | − | 14.0795i | −0.460914 | − | 0.632828i | ||||
\(496\) | 23.9020 | + | 9.09422i | 1.07323 | + | 0.408342i | ||||
\(497\) | −0.190198 | + | 0.709830i | −0.00853157 | + | 0.0318402i | ||||
\(498\) | 2.96261 | − | 9.58602i | 0.132758 | − | 0.429560i | ||||
\(499\) | −26.2986 | + | 1.72370i | −1.17729 | + | 0.0771635i | −0.641455 | − | 0.767160i | \(-0.721669\pi\) |
−0.535833 | + | 0.844324i | \(0.680002\pi\) | |||||||
\(500\) | −12.4795 | − | 15.7822i | −0.558099 | − | 0.705799i | ||||
\(501\) | 13.9140 | + | 34.8163i | 0.621632 | + | 1.55548i | ||||
\(502\) | 20.4161 | − | 14.8562i | 0.911216 | − | 0.663066i | ||||
\(503\) | −8.83284 | − | 3.65868i | −0.393837 | − | 0.163133i | 0.176971 | − | 0.984216i | \(-0.443370\pi\) |
−0.570808 | + | 0.821083i | \(0.693370\pi\) | |||||||
\(504\) | −2.01792 | − | 1.66675i | −0.0898854 | − | 0.0742428i | ||||
\(505\) | 6.30119 | − | 2.61004i | 0.280399 | − | 0.116145i | ||||
\(506\) | 11.1814 | + | 6.84063i | 0.497074 | + | 0.304103i | ||||
\(507\) | 7.42932 | + | 9.93687i | 0.329947 | + | 0.441312i | ||||
\(508\) | 3.56319 | − | 4.18445i | 0.158091 | − | 0.185655i | ||||
\(509\) | −28.9496 | + | 33.0107i | −1.28317 | + | 1.46317i | −0.468255 | + | 0.883593i | \(0.655117\pi\) |
−0.814915 | + | 0.579581i | \(0.803216\pi\) | |||||||
\(510\) | 10.1462 | + | 1.72958i | 0.449280 | + | 0.0765872i | ||||
\(511\) | −4.12148 | + | 2.37954i | −0.182324 | + | 0.105265i | ||||
\(512\) | −0.738097 | + | 22.6154i | −0.0326196 | + | 0.999468i | ||||
\(513\) | 8.52234 | − | 5.24319i | 0.376271 | − | 0.231493i | ||||
\(514\) | 23.0277 | − | 19.1807i | 1.01571 | − | 0.846025i | ||||
\(515\) | 11.0115 | − | 3.73791i | 0.485226 | − | 0.164712i | ||||
\(516\) | 29.5126 | − | 17.1204i | 1.29922 | − | 0.753686i | ||||
\(517\) | 38.0464 | − | 18.7624i | 1.67328 | − | 0.825171i | ||||
\(518\) | 3.15680 | + | 0.0803315i | 0.138702 | + | 0.00352956i | ||||
\(519\) | 0.531207 | + | 10.0233i | 0.0233174 | + | 0.439974i | ||||
\(520\) | 4.04995 | − | 6.84180i | 0.177602 | − | 0.300033i | ||||
\(521\) | 10.0099 | − | 24.1661i | 0.438543 | − | 1.05874i | −0.537909 | − | 0.843003i | \(-0.680786\pi\) |
0.976452 | − | 0.215734i | \(-0.0692144\pi\) | |||||||
\(522\) | −12.2681 | − | 7.93367i | −0.536961 | − | 0.347247i | ||||
\(523\) | 0.433911 | + | 2.18142i | 0.0189736 | + | 0.0953867i | 0.989112 | − | 0.147166i | \(-0.0470152\pi\) |
−0.970138 | + | 0.242553i | \(0.922015\pi\) | |||||||
\(524\) | −2.36327 | − | 16.1314i | −0.103240 | − | 0.704705i | ||||
\(525\) | 1.39455 | − | 1.36011i | 0.0608632 | − | 0.0593601i | ||||
\(526\) | −1.04205 | + | 0.658561i | −0.0454356 | + | 0.0287146i | ||||
\(527\) | −5.97592 | − | 22.3024i | −0.260315 | − | 0.971509i | ||||
\(528\) | −34.0157 | − | 6.17994i | −1.48034 | − | 0.268947i | ||||
\(529\) | 5.05991 | − | 18.8839i | 0.219996 | − | 0.821037i | ||||
\(530\) | −5.90094 | − | 18.9547i | −0.256320 | − | 0.823340i | ||||
\(531\) | −2.17337 | + | 23.9617i | −0.0943160 | + | 1.03985i | ||||
\(532\) | 0.827672 | − | 0.852143i | 0.0358841 | − | 0.0369451i | ||||
\(533\) | 6.69107 | + | 7.62970i | 0.289822 | + | 0.330479i | ||||
\(534\) | −11.6063 | + | 7.13355i | −0.502254 | + | 0.308699i | ||||
\(535\) | 14.3696 | − | 11.0262i | 0.621253 | − | 0.476704i | ||||
\(536\) | 1.01707 | − | 4.83759i | 0.0439306 | − | 0.208952i | ||||
\(537\) | −10.7253 | − | 5.45689i | −0.462832 | − | 0.235482i | ||||
\(538\) | −15.3586 | + | 3.69928i | −0.662158 | + | 0.159487i | ||||
\(539\) | −19.1428 | + | 28.6492i | −0.824537 | + | 1.23401i | ||||
\(540\) | −3.39661 | + | 11.6047i | −0.146167 | + | 0.499386i | ||||
\(541\) | −30.4057 | − | 6.04808i | −1.30724 | − | 0.260027i | −0.508169 | − | 0.861257i | \(-0.669677\pi\) |
−0.799076 | + | 0.601230i | \(0.794677\pi\) | |||||||
\(542\) | −0.592973 | + | 0.273895i | −0.0254704 | + | 0.0117648i | ||||
\(543\) | −14.6124 | − | 17.0886i | −0.627078 | − | 0.733341i | ||||
\(544\) | 16.9442 | − | 11.4125i | 0.726478 | − | 0.489306i | ||||
\(545\) | 4.71073 | − | 8.15923i | 0.201786 | − | 0.349503i | ||||
\(546\) | 1.65868 | + | 0.761995i | 0.0709848 | + | 0.0326104i | ||||
\(547\) | −35.5912 | + | 12.0816i | −1.52177 | + | 0.516571i | −0.952227 | − | 0.305391i | \(-0.901213\pi\) |
−0.569542 | + | 0.821962i | \(0.692880\pi\) | |||||||
\(548\) | −7.08061 | − | 4.58335i | −0.302469 | − | 0.195791i | ||||
\(549\) | 6.83516 | − | 30.3729i | 0.291717 | − | 1.29628i | ||||
\(550\) | 7.29003 | − | 24.6776i | 0.310848 | − | 1.05226i | ||||
\(551\) | 4.03683 | − | 5.26090i | 0.171975 | − | 0.224122i | ||||
\(552\) | −0.976509 | − | 9.04689i | −0.0415630 | − | 0.385061i | ||||
\(553\) | −0.617983 | − | 0.805372i | −0.0262793 | − | 0.0342479i | ||||
\(554\) | −7.91637 | − | 20.5774i | −0.336334 | − | 0.874251i | ||||
\(555\) | −5.41399 | − | 13.5471i | −0.229811 | − | 0.575043i | ||||
\(556\) | −21.2133 | − | 35.5368i | −0.899645 | − | 1.50710i | ||||
\(557\) | 20.6856 | − | 13.8217i | 0.876476 | − | 0.585642i | −0.0338999 | − | 0.999425i | \(-0.510793\pi\) |
0.910376 | + | 0.413783i | \(0.135793\pi\) | |||||||
\(558\) | 26.8367 | − | 3.94359i | 1.13609 | − | 0.166946i | ||||
\(559\) | −16.8258 | + | 16.8258i | −0.711656 | + | 0.711656i | ||||
\(560\) | −0.0521222 | + | 1.43458i | −0.00220257 | + | 0.0606220i | ||||
\(561\) | 13.4545 | + | 28.1653i | 0.568048 | + | 1.18914i | ||||
\(562\) | −17.3577 | + | 10.9698i | −0.732191 | + | 0.462734i | ||||
\(563\) | −1.24631 | − | 19.0151i | −0.0525259 | − | 0.801390i | −0.940137 | − | 0.340797i | \(-0.889303\pi\) |
0.887611 | − | 0.460594i | \(-0.152363\pi\) | |||||||
\(564\) | −26.4384 | − | 12.9702i | −1.11326 | − | 0.546144i | ||||
\(565\) | −1.49998 | − | 1.71040i | −0.0631047 | − | 0.0719571i | ||||
\(566\) | −2.74027 | − | 25.8880i | −0.115182 | − | 1.08816i | ||||
\(567\) | −2.73072 | − | 0.499472i | −0.114680 | − | 0.0209758i | ||||
\(568\) | 4.16015 | − | 5.30123i | 0.174556 | − | 0.222435i | ||||
\(569\) | −7.93016 | + | 10.3348i | −0.332449 | + | 0.433257i | −0.929430 | − | 0.368999i | \(-0.879700\pi\) |
0.596980 | + | 0.802256i | \(0.296367\pi\) | |||||||
\(570\) | −5.12625 | − | 1.95999i | −0.214715 | − | 0.0820949i | ||||
\(571\) | 17.4028 | + | 35.2893i | 0.728282 | + | 1.47681i | 0.873197 | + | 0.487367i | \(0.162042\pi\) |
−0.144915 | + | 0.989444i | \(0.546291\pi\) | |||||||
\(572\) | 24.0345 | − | 1.92727i | 1.00493 | − | 0.0805830i | ||||
\(573\) | 11.1453 | − | 18.7586i | 0.465602 | − | 0.783654i | ||||
\(574\) | −1.71950 | − | 0.632915i | −0.0717705 | − | 0.0264173i | ||||
\(575\) | 6.77259 | 0.282436 | ||||||||
\(576\) | 11.0155 | + | 21.3227i | 0.458978 | + | 0.888448i | ||||
\(577\) | 0.822656 | 0.0342476 | 0.0171238 | − | 0.999853i | \(-0.494549\pi\) | ||||
0.0171238 | + | 0.999853i | \(0.494549\pi\) | |||||||
\(578\) | 5.25260 | + | 1.93338i | 0.218479 | + | 0.0804180i | ||||
\(579\) | −30.7258 | − | 0.384161i | −1.27692 | − | 0.0159652i | ||||
\(580\) | 0.640512 | + | 7.98766i | 0.0265958 | + | 0.331670i | ||||
\(581\) | −0.558803 | − | 1.13314i | −0.0231830 | − | 0.0470106i | ||||
\(582\) | −9.17726 | + | 7.45177i | −0.380410 | + | 0.308886i | ||||
\(583\) | 36.6502 | − | 47.7635i | 1.51790 | − | 1.97816i | ||||
\(584\) | 43.3263 | − | 5.22534i | 1.79285 | − | 0.216226i | ||||
\(585\) | 0.210838 | − | 8.43027i | 0.00871709 | − | 0.348549i | ||||
\(586\) | −3.27386 | − | 30.9290i | −0.135242 | − | 1.27767i | ||||
\(587\) | 23.4843 | + | 26.7787i | 0.969302 | + | 1.10528i | 0.994410 | + | 0.105592i | \(0.0336739\pi\) |
−0.0251075 | + | 0.999685i | \(0.507993\pi\) | |||||||
\(588\) | 23.8646 | − | 1.61365i | 0.984161 | − | 0.0665460i | ||||
\(589\) | 0.805216 | + | 12.2852i | 0.0331783 | + | 0.506204i | ||||
\(590\) | 11.1555 | − | 7.05010i | 0.459264 | − | 0.290248i | ||||
\(591\) | 33.8936 | + | 2.64744i | 1.39420 | + | 0.108901i | ||||
\(592\) | −26.3327 | − | 12.0454i | −1.08227 | − | 0.495061i | ||||
\(593\) | 11.1627 | − | 11.1627i | 0.458398 | − | 0.458398i | −0.439731 | − | 0.898129i | \(-0.644926\pi\) |
0.898129 | + | 0.439731i | \(0.144926\pi\) | |||||||
\(594\) | −34.6941 | + | 11.8739i | −1.42351 | + | 0.487193i | ||||
\(595\) | 1.07764 | − | 0.720056i | 0.0441789 | − | 0.0295194i | ||||
\(596\) | 4.53483 | − | 2.70702i | 0.185754 | − | 0.110884i | ||||
\(597\) | 17.3888 | − | 22.0843i | 0.711678 | − | 0.903851i | ||||
\(598\) | 2.27863 | + | 5.92295i | 0.0931800 | + | 0.242208i | ||||
\(599\) | 25.4775 | + | 33.2029i | 1.04098 | + | 1.35664i | 0.931946 | + | 0.362598i | \(0.118110\pi\) |
0.109037 | + | 0.994038i | \(0.465223\pi\) | |||||||
\(600\) | −16.6584 | + | 6.44819i | −0.680077 | + | 0.263246i | ||||
\(601\) | 6.61821 | − | 8.62502i | 0.269962 | − | 0.351822i | −0.638624 | − | 0.769519i | \(-0.720496\pi\) |
0.908586 | + | 0.417697i | \(0.137163\pi\) | |||||||
\(602\) | 1.21719 | − | 4.12034i | 0.0496090 | − | 0.167932i | ||||
\(603\) | −1.56071 | − | 5.00554i | −0.0635572 | − | 0.203841i | ||||
\(604\) | −7.97255 | + | 12.3164i | −0.324398 | + | 0.501148i | ||||
\(605\) | −15.3159 | + | 5.19904i | −0.622679 | + | 0.211371i | ||||
\(606\) | −1.33280 | − | 14.2966i | −0.0541411 | − | 0.580761i | ||||
\(607\) | 19.6186 | − | 33.9804i | 0.796294 | − | 1.37922i | −0.125721 | − | 0.992066i | \(-0.540124\pi\) |
0.922015 | − | 0.387155i | \(-0.126542\pi\) | |||||||
\(608\) | −10.0486 | + | 4.20578i | −0.407523 | + | 0.170567i | ||||
\(609\) | −1.80872 | + | 0.336326i | −0.0732931 | + | 0.0136286i | ||||
\(610\) | −15.5019 | + | 7.16034i | −0.627652 | + | 0.289914i | ||||
\(611\) | 20.1434 | + | 4.00677i | 0.814914 | + | 0.162096i | ||||
\(612\) | 9.78602 | − | 19.3327i | 0.395577 | − | 0.781479i | ||||
\(613\) | −23.5943 | + | 35.3114i | −0.952966 | + | 1.42622i | −0.0489094 | + | 0.998803i | \(0.515575\pi\) |
−0.904057 | + | 0.427412i | \(0.859425\pi\) | |||||||
\(614\) | 12.2576 | − | 2.95235i | 0.494675 | − | 0.119147i | ||||
\(615\) | 0.447992 | + | 8.45314i | 0.0180648 | + | 0.340864i | ||||
\(616\) | −3.64587 | + | 2.37915i | −0.146896 | + | 0.0958589i | ||||
\(617\) | −14.3822 | + | 11.0358i | −0.579005 | + | 0.444286i | −0.856285 | − | 0.516503i | \(-0.827233\pi\) |
0.277281 | + | 0.960789i | \(0.410567\pi\) | |||||||
\(618\) | −0.673298 | − | 24.4721i | −0.0270840 | − | 0.984411i | ||||
\(619\) | −11.1729 | − | 12.7403i | −0.449077 | − | 0.512075i | 0.482362 | − | 0.875972i | \(-0.339779\pi\) |
−0.931439 | + | 0.363898i | \(0.881446\pi\) | |||||||
\(620\) | −10.6722 | − | 10.3657i | −0.428604 | − | 0.416296i | ||||
\(621\) | −5.58415 | − | 7.87191i | −0.224084 | − | 0.315889i | ||||
\(622\) | 11.1910 | + | 35.9472i | 0.448719 | + | 1.44135i | ||||
\(623\) | −0.444000 | + | 1.65703i | −0.0177885 | + | 0.0663876i | ||||
\(624\) | −11.2440 | − | 12.3991i | −0.450118 | − | 0.496361i | ||||
\(625\) | −1.68914 | − | 6.30394i | −0.0675654 | − | 0.252158i | ||||
\(626\) | 25.9080 | − | 16.3735i | 1.03549 | − | 0.654415i | ||||
\(627\) | −4.10641 | − | 16.1293i | −0.163994 | − | 0.644142i | ||||
\(628\) | 27.3551 | − | 4.00755i | 1.09159 | − | 0.159919i | ||||
\(629\) | 5.10039 | + | 25.6414i | 0.203366 | + | 1.02239i | ||||
\(630\) | 0.693843 | + | 1.35533i | 0.0276434 | + | 0.0539975i | ||||
\(631\) | −19.0823 | + | 46.0687i | −0.759654 | + | 1.83397i | −0.267153 | + | 0.963654i | \(0.586083\pi\) |
−0.492500 | + | 0.870312i | \(0.663917\pi\) | |||||||
\(632\) | 2.31137 | + | 9.01728i | 0.0919414 | + | 0.358688i | ||||
\(633\) | 22.8766 | − | 14.8753i | 0.909262 | − | 0.591241i | ||||
\(634\) | −21.4105 | − | 0.544837i | −0.850321 | − | 0.0216382i | ||||
\(635\) | −2.86759 | + | 1.41414i | −0.113797 | + | 0.0561184i | ||||
\(636\) | −41.7935 | + | 0.0862743i | −1.65722 | + | 0.00342100i | ||||
\(637\) | −15.7964 | + | 5.36216i | −0.625877 | + | 0.212457i | ||||
\(638\) | −18.6727 | + | 15.5533i | −0.739259 | + | 0.615759i | ||||
\(639\) | 1.10981 | − | 7.06076i | 0.0439034 | − | 0.279319i | ||||
\(640\) | 5.60560 | − | 11.9104i | 0.221581 | − | 0.470800i | ||||
\(641\) | −26.2926 | + | 15.1800i | −1.03849 | + | 0.599575i | −0.919406 | − | 0.393309i | \(-0.871330\pi\) |
−0.119088 | + | 0.992884i | \(0.537997\pi\) | |||||||
\(642\) | −13.2454 | − | 35.7571i | −0.522754 | − | 1.41122i | ||||
\(643\) | −5.84682 | + | 6.66702i | −0.230576 | + | 0.262921i | −0.855545 | − | 0.517728i | \(-0.826778\pi\) |
0.624970 | + | 0.780649i | \(0.285111\pi\) | |||||||
\(644\) | −0.872393 | − | 0.742869i | −0.0343771 | − | 0.0292731i | ||||
\(645\) | −19.7099 | + | 2.34457i | −0.776078 | + | 0.0923174i | ||||
\(646\) | 8.38948 | + | 5.13256i | 0.330079 | + | 0.201938i | ||||
\(647\) | −34.3016 | + | 14.2082i | −1.34854 | + | 0.558582i | −0.935885 | − | 0.352307i | \(-0.885397\pi\) |
−0.412652 | + | 0.910889i | \(0.635397\pi\) | |||||||
\(648\) | 21.2301 | + | 14.0457i | 0.833998 | + | 0.551768i | ||||
\(649\) | 36.9743 | + | 15.3153i | 1.45137 | + | 0.601177i | ||||
\(650\) | 10.0733 | − | 7.33004i | 0.395107 | − | 0.287508i | ||||
\(651\) | 2.11303 | − | 2.68361i | 0.0828163 | − | 0.105179i | ||||
\(652\) | 14.2950 | − | 11.3036i | 0.559837 | − | 0.442682i | ||||
\(653\) | −36.1496 | + | 2.36937i | −1.41465 | + | 0.0927207i | −0.753456 | − | 0.657498i | \(-0.771615\pi\) |
−0.661189 | + | 0.750219i | \(0.729948\pi\) | |||||||
\(654\) | −13.4831 | − | 14.5471i | −0.527229 | − | 0.568838i | ||||
\(655\) | −2.45483 | + | 9.16153i | −0.0959180 | + | 0.357971i | ||||
\(656\) | 12.2217 | + | 11.5296i | 0.477178 | + | 0.450154i | ||||
\(657\) | 37.4154 | − | 27.2511i | 1.45971 | − | 1.06317i | ||||
\(658\) | −3.54064 | + | 1.10226i | −0.138028 | + | 0.0429707i | ||||
\(659\) | 12.1729 | − | 24.6843i | 0.474191 | − | 0.961564i | −0.520024 | − | 0.854152i | \(-0.674077\pi\) |
0.994215 | − | 0.107412i | \(-0.0342564\pi\) | |||||||
\(660\) | 16.7462 | + | 11.1395i | 0.651844 | + | 0.433604i | ||||
\(661\) | −38.6659 | − | 13.1253i | −1.50393 | − | 0.510515i | −0.556600 | − | 0.830781i | \(-0.687894\pi\) |
−0.947328 | + | 0.320266i | \(0.896228\pi\) | |||||||
\(662\) | 7.16738 | + | 18.6305i | 0.278568 | + | 0.724096i | ||||
\(663\) | −3.13328 | + | 14.7836i | −0.121686 | + | 0.574149i | ||||
\(664\) | 0.631965 | + | 11.5683i | 0.0245250 | + | 0.448937i | ||||
\(665\) | −0.638481 | + | 0.264467i | −0.0247592 | + | 0.0102556i | ||||
\(666\) | −30.6140 | + | 2.46834i | −1.18627 | + | 0.0956461i | ||||
\(667\) | −5.31823 | − | 3.55352i | −0.205923 | − | 0.137593i | ||||
\(668\) | −29.0168 | − | 32.1308i | −1.12269 | − | 1.24318i | ||||
\(669\) | −5.57365 | + | 9.38101i | −0.215490 | + | 0.362691i | ||||
\(670\) | −1.65803 | + | 2.34974i | −0.0640552 | + | 0.0907782i | ||||
\(671\) | −44.8470 | − | 25.8924i | −1.73130 | − | 0.999566i | ||||
\(672\) | 2.85310 | + | 0.996616i | 0.110061 | + | 0.0384453i | ||||
\(673\) | 12.6769 | − | 7.31904i | 0.488660 | − | 0.282128i | −0.235358 | − | 0.971909i | \(-0.575626\pi\) |
0.724019 | + | 0.689781i | \(0.242293\pi\) | |||||||
\(674\) | −0.853457 | + | 9.36397i | −0.0328739 | + | 0.360687i | ||||
\(675\) | −12.0894 | + | 14.5882i | −0.465321 | + | 0.561498i | ||||
\(676\) | −12.0267 | − | 7.78501i | −0.462566 | − | 0.299424i | ||||
\(677\) | −2.67298 | + | 40.7818i | −0.102731 | + | 1.56737i | 0.566339 | + | 0.824172i | \(0.308359\pi\) |
−0.669070 | + | 0.743199i | \(0.733308\pi\) | |||||||
\(678\) | −4.37272 | + | 1.95381i | −0.167933 | + | 0.0750356i | ||||
\(679\) | −0.194303 | + | 1.47588i | −0.00745668 | + | 0.0566391i | ||||
\(680\) | −11.6809 | + | 2.19171i | −0.447944 | + | 0.0840481i | ||||
\(681\) | −7.67006 | + | 8.52854i | −0.293917 | + | 0.326814i | ||||
\(682\) | 7.02523 | − | 44.5685i | 0.269010 | − | 1.70662i | ||||
\(683\) | −5.75676 | − | 28.9412i | −0.220276 | − | 1.10740i | −0.919678 | − | 0.392674i | \(-0.871550\pi\) |
0.699402 | − | 0.714729i | \(-0.253450\pi\) | |||||||
\(684\) | −7.12893 | + | 9.09250i | −0.272581 | + | 0.347660i | ||||
\(685\) | 2.72611 | + | 4.07991i | 0.104159 | + | 0.155885i | ||||
\(686\) | 4.11394 | − | 4.45703i | 0.157071 | − | 0.170170i | ||||
\(687\) | 17.9221 | − | 26.1097i | 0.683772 | − | 0.996149i | ||||
\(688\) | −25.1025 | + | 30.3645i | −0.957026 | + | 1.15763i | ||||
\(689\) | 28.1546 | − | 7.54399i | 1.07260 | − | 0.287403i | ||||
\(690\) | −1.56308 | + | 5.05761i | −0.0595055 | + | 0.192540i | ||||
\(691\) | −0.271311 | + | 0.550163i | −0.0103211 | + | 0.0209292i | −0.901972 | − | 0.431794i | \(-0.857881\pi\) |
0.891651 | + | 0.452723i | \(0.149547\pi\) | |||||||
\(692\) | −4.59086 | − | 10.6422i | −0.174518 | − | 0.404555i | ||||
\(693\) | −2.14520 | + | 4.08901i | −0.0814893 | + | 0.155329i | ||||
\(694\) | −19.4978 | + | 2.06386i | −0.740126 | + | 0.0783429i | ||||
\(695\) | 3.14268 | + | 23.8710i | 0.119209 | + | 0.905480i | ||||
\(696\) | 16.4645 | + | 3.67705i | 0.624084 | + | 0.139378i | ||||
\(697\) | 1.98002 | − | 15.0398i | 0.0749987 | − | 0.569672i | ||||
\(698\) | 48.2670 | + | 1.22826i | 1.82693 | + | 0.0464902i | ||||
\(699\) | −3.87715 | − | 32.5938i | −0.146647 | − | 1.23281i | ||||
\(700\) | −0.965370 | + | 2.03166i | −0.0364876 | + | 0.0767894i | ||||
\(701\) | −8.33881 | − | 1.65869i | −0.314953 | − | 0.0626480i | 0.0350829 | − | 0.999384i | \(-0.488830\pi\) |
−0.350035 | + | 0.936736i | \(0.613830\pi\) | |||||||
\(702\) | −16.8255 | − | 5.66459i | −0.635037 | − | 0.213796i | ||||
\(703\) | − | 13.9403i | − | 0.525770i | ||||||
\(704\) | 39.3140 | − | 6.93480i | 1.48170 | − | 0.261365i | ||||
\(705\) | 11.1339 | + | 13.0206i | 0.419326 | + | 0.490384i | ||||
\(706\) | −10.0785 | + | 1.73947i | −0.379311 | + | 0.0654659i | ||||
\(707\) | −1.35939 | − | 1.19215i | −0.0511250 | − | 0.0448354i | ||||
\(708\) | −7.24592 | − | 26.8206i | −0.272318 | − | 1.00798i | ||||
\(709\) | −0.577978 | + | 8.81824i | −0.0217064 | + | 0.331176i | 0.973171 | + | 0.230084i | \(0.0739002\pi\) |
−0.994877 | + | 0.101092i | \(0.967766\pi\) | |||||||
\(710\) | −3.44381 | + | 1.87313i | −0.129244 | + | 0.0702973i | ||||
\(711\) | 6.80487 | + | 7.15397i | 0.255202 | + | 0.268295i | ||||
\(712\) | 9.71147 | − | 12.3752i | 0.363953 | − | 0.463781i | ||||
\(713\) | 11.7736 | − | 1.55003i | 0.440925 | − | 0.0580489i | ||||
\(714\) | −0.778420 | − | 2.61516i | −0.0291316 | − | 0.0978700i | ||||
\(715\) | −13.2826 | − | 4.50885i | −0.496743 | − | 0.168621i | ||||
\(716\) | 13.8014 | + | 1.61284i | 0.515783 | + | 0.0602748i | ||||
\(717\) | 6.36742 | + | 6.52866i | 0.237796 | + | 0.243817i | ||||
\(718\) | 50.0781 | − | 2.00461i | 1.86890 | − | 0.0748112i | ||||
\(719\) | −24.0550 | + | 24.0550i | −0.897099 | + | 0.897099i | −0.995179 | − | 0.0980791i | \(-0.968730\pi\) |
0.0980791 | + | 0.995179i | \(0.468730\pi\) | |||||||
\(720\) | −0.970679 | − | 13.9283i | −0.0361751 | − | 0.519079i | ||||
\(721\) | −2.17984 | − | 2.17984i | −0.0811816 | − | 0.0811816i | ||||
\(722\) | 15.8912 | + | 14.6679i | 0.591409 | + | 0.545884i | ||||
\(723\) | 10.5244 | + | 41.3381i | 0.391407 | + | 1.53738i | ||||
\(724\) | 22.6709 | + | 12.6524i | 0.842559 | + | 0.470223i | ||||
\(725\) | −4.03605 | + | 11.8898i | −0.149895 | + | 0.441577i | ||||
\(726\) | 0.936486 | + | 34.0381i | 0.0347562 | + | 1.26327i | ||||
\(727\) | 0.966228 | + | 7.33923i | 0.0358354 | + | 0.272197i | 0.999977 | + | 0.00680792i | \(0.00216705\pi\) |
−0.964141 | + | 0.265389i | \(0.914500\pi\) | |||||||
\(728\) | −2.10158 | − | 0.160715i | −0.0778896 | − | 0.00595650i | ||||
\(729\) | 26.9241 | + | 2.02346i | 0.997188 | + | 0.0749431i | ||||
\(730\) | −24.3478 | − | 7.19259i | −0.901152 | − | 0.266210i | ||||
\(731\) | 35.4936 | + | 2.32638i | 1.31278 | + | 0.0860441i | ||||
\(732\) | 4.76581 | + | 35.6314i | 0.176149 | + | 1.31697i | ||||
\(733\) | −9.91679 | + | 11.3079i | −0.366285 | + | 0.417668i | −0.905397 | − | 0.424566i | \(-0.860427\pi\) |
0.539112 | + | 0.842234i | \(0.318760\pi\) | |||||||
\(734\) | −16.9186 | + | 23.9767i | −0.624475 | + | 0.884998i | ||||
\(735\) | −13.1197 | − | 4.63724i | −0.483926 | − | 0.171047i | ||||
\(736\) | 4.68194 | + | 9.40634i | 0.172579 | + | 0.346722i | ||||
\(737\) | −8.72140 | −0.321257 | ||||||||
\(738\) | 17.2811 | + | 4.35364i | 0.636124 | + | 0.160260i | ||||
\(739\) | 0.598945 | − | 3.01110i | 0.0220325 | − | 0.110765i | −0.968204 | − | 0.250162i | \(-0.919516\pi\) |
0.990237 | + | 0.139397i | \(0.0445163\pi\) | |||||||
\(740\) | 11.2905 | + | 12.5022i | 0.415048 | + | 0.459591i | ||||
\(741\) | 3.17650 | − | 7.40550i | 0.116692 | − | 0.272048i | ||||
\(742\) | −3.81481 | + | 3.62547i | −0.140046 | + | 0.133095i | ||||
\(743\) | −18.1129 | − | 2.38461i | −0.664499 | − | 0.0874830i | −0.209271 | − | 0.977858i | \(-0.567109\pi\) |
−0.455228 | + | 0.890375i | \(0.650442\pi\) | |||||||
\(744\) | −27.4836 | + | 15.0222i | −1.00760 | + | 0.550742i | ||||
\(745\) | −3.04617 | + | 0.401035i | −0.111603 | + | 0.0146928i | ||||
\(746\) | −21.4827 | − | 17.3701i | −0.786537 | − | 0.635964i | ||||
\(747\) | 6.56945 | + | 10.3849i | 0.240364 | + | 0.379963i | ||||
\(748\) | −25.8545 | − | 25.1121i | −0.945335 | − | 0.918188i | ||||
\(749\) | −4.30646 | − | 2.12371i | −0.157355 | − | 0.0775987i | ||||
\(750\) | 24.6241 | + | 0.934783i | 0.899145 | + | 0.0341335i | ||||
\(751\) | 2.78879 | + | 10.4079i | 0.101764 | + | 0.379789i | 0.997958 | − | 0.0638736i | \(-0.0203454\pi\) |
−0.896194 | + | 0.443663i | \(0.853679\pi\) | |||||||
\(752\) | 33.8283 | + | 3.45452i | 1.23359 | + | 0.125974i | ||||
\(753\) | −2.40814 | + | 30.8300i | −0.0877576 | + | 1.12351i | ||||
\(754\) | −11.7561 | + | 0.470593i | −0.428133 | + | 0.0171380i | ||||
\(755\) | 7.09682 | − | 4.74195i | 0.258280 | − | 0.172577i | ||||
\(756\) | 3.15740 | − | 0.553078i | 0.114834 | − | 0.0201153i | ||||
\(757\) | −6.07540 | + | 1.20847i | −0.220814 | + | 0.0439227i | −0.304257 | − | 0.952590i | \(-0.598408\pi\) |
0.0834432 | + | 0.996513i | \(0.473408\pi\) | |||||||
\(758\) | −10.8434 | − | 14.9015i | −0.393850 | − | 0.541247i | ||||
\(759\) | −15.2652 | + | 4.96990i | −0.554093 | + | 0.180396i | ||||
\(760\) | 6.33682 | + | 0.0689164i | 0.229860 | + | 0.00249986i | ||||
\(761\) | 20.6574 | + | 2.71960i | 0.748830 | + | 0.0985854i | 0.495276 | − | 0.868736i | \(-0.335067\pi\) |
0.253554 | + | 0.967321i | \(0.418400\pi\) | |||||||
\(762\) | 1.06181 | + | 6.64692i | 0.0384651 | + | 0.240792i | ||||
\(763\) | −2.49229 | − | 0.163353i | −0.0902269 | − | 0.00591378i | ||||
\(764\) | −4.55490 | + | 24.7802i | −0.164791 | + | 0.896517i | ||||
\(765\) | −9.68232 | + | 8.07197i | −0.350065 | + | 0.291843i | ||||
\(766\) | 2.87342 | + | 3.44972i | 0.103821 | + | 0.124644i | ||||
\(767\) | 9.68792 | + | 16.7800i | 0.349810 | + | 0.605889i | ||||
\(768\) | −20.4719 | − | 18.6789i | −0.738715 | − | 0.674018i | ||||
\(769\) | −0.724482 | + | 1.25484i | −0.0261255 | + | 0.0452507i | −0.878793 | − | 0.477204i | \(-0.841650\pi\) |
0.852667 | + | 0.522455i | \(0.174984\pi\) | |||||||
\(770\) | 2.49576 | − | 0.430747i | 0.0899409 | − | 0.0155230i | ||||
\(771\) | −0.458884 | + | 36.7022i | −0.0165263 | + | 1.32180i | ||||
\(772\) | 33.4292 | − | 11.8935i | 1.20314 | − | 0.428056i | ||||
\(773\) | −25.0251 | + | 37.4527i | −0.900090 | + | 1.34708i | 0.0374851 | + | 0.999297i | \(0.488065\pi\) |
−0.937575 | + | 0.347783i | \(0.886935\pi\) | |||||||
\(774\) | −7.53644 | + | 41.1018i | −0.270892 | + | 1.47737i | ||||
\(775\) | −8.92108 | − | 21.5374i | −0.320455 | − | 0.773646i | ||||
\(776\) | 6.95338 | − | 11.7467i | 0.249612 | − | 0.421682i | ||||
\(777\) | −2.58619 | + | 2.87565i | −0.0927790 | + | 0.103163i | ||||
\(778\) | 14.6228 | − | 32.9087i | 0.524253 | − | 1.17983i | ||||
\(779\) | −2.60002 | + | 7.65942i | −0.0931555 | + | 0.274427i | ||||
\(780\) | 3.14904 | + | 9.21423i | 0.112754 | + | 0.329922i | ||||
\(781\) | −10.6628 | − | 5.25831i | −0.381545 | − | 0.188157i | ||||
\(782\) | 4.41079 | − | 8.39858i | 0.157730 | − | 0.300333i | ||||
\(783\) | 17.1476 | − | 5.11225i | 0.612804 | − | 0.182697i | ||||
\(784\) | −25.1983 | + | 11.3083i | −0.899940 | + | 0.403868i | ||||
\(785\) | −15.5358 | − | 4.16280i | −0.554496 | − | 0.148577i | ||||
\(786\) | 16.9014 | + | 10.6327i | 0.602854 | + | 0.379256i | ||||
\(787\) | −2.15646 | − | 32.9012i | −0.0768694 | − | 1.17280i | −0.845811 | − | 0.533482i | \(-0.820883\pi\) |
0.768942 | − | 0.639319i | \(-0.220784\pi\) | |||||||
\(788\) | −37.7666 | + | 10.7115i | −1.34538 | + | 0.381581i | ||||
\(789\) | 0.215761 | − | 1.49426i | 0.00768128 | − | 0.0531970i | ||||
\(790\) | 0.843213 | − | 5.34939i | 0.0300002 | − | 0.190323i | ||||
\(791\) | −0.230793 | + | 0.557184i | −0.00820606 | + | 0.0198112i | ||||
\(792\) | 32.8158 | − | 26.7584i | 1.16606 | − | 0.950819i | ||||
\(793\) | −9.59440 | − | 23.1629i | −0.340707 | − | 0.822539i | ||||
\(794\) | −4.06953 | − | 16.8959i | −0.144422 | − | 0.599611i | ||||
\(795\) | 22.3448 | + | 9.58453i | 0.792488 | + | 0.339928i | ||||
\(796\) | −9.98416 | + | 30.8832i | −0.353879 | + | 1.09462i | ||||
\(797\) | 26.4075 | + | 23.1587i | 0.935401 | + | 0.820324i | 0.983941 | − | 0.178497i | \(-0.0571234\pi\) |
−0.0485397 | + | 0.998821i | \(0.515457\pi\) | |||||||
\(798\) | 0.135048 | + | 1.44864i | 0.00478066 | + | 0.0512811i | ||||
\(799\) | −15.3504 | − | 26.5876i | −0.543057 | − | 0.940602i | ||||
\(800\) | 15.4573 | − | 13.6570i | 0.546500 | − | 0.482848i | ||||
\(801\) | 2.59074 | − | 16.4827i | 0.0915395 | − | 0.582387i | ||||
\(802\) | −37.3024 | − | 3.39984i | −1.31719 | − | 0.120052i | ||||
\(803\) | −24.7487 | − | 72.9072i | −0.873362 | − | 2.57284i | ||||
\(804\) | 3.69555 | + | 4.79561i | 0.130332 | + | 0.169128i | ||||
\(805\) | 0.294826 | + | 0.597848i | 0.0103913 | + | 0.0210714i | ||||
\(806\) | 15.8340 | − | 15.0481i | 0.557729 | − | 0.530048i | ||||
\(807\) | 8.77384 | − | 17.2447i | 0.308854 | − | 0.607041i | ||||
\(808\) | 7.17096 | + | 14.9489i | 0.252273 | + | 0.525902i | ||||
\(809\) | −11.4871 | − | 4.75812i | −0.403865 | − | 0.167287i | 0.171498 | − | 0.985184i | \(-0.445139\pi\) |
−0.575363 | + | 0.817898i | \(0.695139\pi\) | |||||||
\(810\) | −8.10392 | − | 12.3950i | −0.284743 | − | 0.435514i | ||||
\(811\) | 17.2206 | − | 3.42540i | 0.604699 | − | 0.120282i | 0.116760 | − | 0.993160i | \(-0.462749\pi\) |
0.487938 | + | 0.872878i | \(0.337749\pi\) | |||||||
\(812\) | 1.82406 | − | 1.08885i | 0.0640119 | − | 0.0382112i | ||||
\(813\) | 0.216692 | − | 0.770064i | 0.00759972 | − | 0.0270073i | ||||
\(814\) | −11.2382 | + | 49.8364i | −0.393897 | + | 1.74676i | ||||
\(815\) | −10.2407 | + | 2.74399i | −0.358717 | + | 0.0961179i | ||||
\(816\) | −2.85285 | + | 24.8574i | −0.0998698 | + | 0.870182i | ||||
\(817\) | −18.3202 | − | 4.90889i | −0.640943 | − | 0.171740i | ||||
\(818\) | −12.6403 | + | 24.0683i | −0.441956 | + | 0.841528i | ||||
\(819\) | −2.02911 | + | 0.938328i | −0.0709030 | + | 0.0327878i | ||||
\(820\) | −3.87170 | − | 8.97506i | −0.135206 | − | 0.313423i | ||||
\(821\) | 40.8602 | − | 35.8334i | 1.42603 | − | 1.25060i | 0.503875 | − | 0.863777i | \(-0.331907\pi\) |
0.922156 | − | 0.386819i | \(-0.126426\pi\) | |||||||
\(822\) | 9.90091 | − | 2.94707i | 0.345334 | − | 0.102791i | ||||
\(823\) | −30.6330 | − | 39.9216i | −1.06780 | − | 1.39158i | −0.915062 | − | 0.403314i | \(-0.867858\pi\) |
−0.152736 | − | 0.988267i | \(-0.548808\pi\) | |||||||
\(824\) | 10.5333 | + | 26.2329i | 0.366944 | + | 0.913866i | ||||
\(825\) | 17.1798 | + | 26.4206i | 0.598124 | + | 0.919847i | ||||
\(826\) | −2.98423 | − | 1.82571i | −0.103835 | − | 0.0635246i | ||||
\(827\) | −16.1846 | − | 10.8142i | −0.562795 | − | 0.376048i | 0.241389 | − | 0.970429i | \(-0.422397\pi\) |
−0.804184 | + | 0.594381i | \(0.797397\pi\) | |||||||
\(828\) | 9.20117 | + | 6.28793i | 0.319763 | + | 0.218521i | ||||
\(829\) | −3.13693 | + | 15.7704i | −0.108950 | + | 0.547729i | 0.887299 | + | 0.461195i | \(0.152579\pi\) |
−0.996249 | + | 0.0865342i | \(0.972421\pi\) | |||||||
\(830\) | 2.32814 | − | 6.32509i | 0.0808111 | − | 0.219547i | ||||
\(831\) | 25.4592 | + | 8.99874i | 0.883170 | + | 0.312163i | ||||
\(832\) | 17.1443 | + | 8.92331i | 0.594372 | + | 0.309360i | ||||
\(833\) | 21.5954 | + | 12.4681i | 0.748237 | + | 0.431995i | ||||
\(834\) | 49.9675 | + | 8.51779i | 1.73023 | + | 0.294947i | ||||
\(835\) | 8.09592 | + | 23.8498i | 0.280171 | + | 0.825357i | ||||
\(836\) | 10.9089 | + | 15.8225i | 0.377293 | + | 0.547232i | ||||
\(837\) | −17.6777 | + | 28.1272i | −0.611031 | + | 0.972219i | ||||
\(838\) | 9.39671 | + | 17.2762i | 0.324604 | + | 0.596795i | ||||
\(839\) | 37.0247 | + | 28.4100i | 1.27823 | + | 0.980823i | 0.999793 | + | 0.0203701i | \(0.00648444\pi\) |
0.278441 | + | 0.960453i | \(0.410182\pi\) | |||||||
\(840\) | −1.29439 | − | 1.18981i | −0.0446607 | − | 0.0410524i | ||||
\(841\) | −13.5994 | + | 10.4352i | −0.468945 | + | 0.359834i | ||||
\(842\) | −14.6312 | + | 32.9275i | −0.504223 | + | 1.13476i | ||||
\(843\) | 3.59398 | − | 24.8903i | 0.123783 | − | 0.857266i | ||||
\(844\) | −18.8153 | + | 25.2745i | −0.647650 | + | 0.869985i | ||||
\(845\) | 4.63040 | + | 6.92989i | 0.159291 | + | 0.238395i | ||||
\(846\) | 33.1106 | − | 14.3006i | 1.13837 | − | 0.491664i | ||||
\(847\) | 3.03193 | + | 3.03193i | 0.104178 | + | 0.104178i | ||||
\(848\) | 45.2267 | − | 16.8369i | 1.55309 | − | 0.578183i | ||||
\(849\) | 26.2865 | + | 18.0435i | 0.902151 | + | 0.619251i | ||||
\(850\) | −18.1663 | − | 4.09652i | −0.623099 | − | 0.140509i | ||||
\(851\) | −13.4174 | + | 0.879425i | −0.459944 | + | 0.0301463i | ||||
\(852\) | 1.62682 | + | 8.09124i | 0.0557339 | + | 0.277201i | ||||
\(853\) | 16.0501 | − | 14.0756i | 0.549546 | − | 0.481939i | −0.338962 | − | 0.940800i | \(-0.610076\pi\) |
0.888508 | + | 0.458861i | \(0.151743\pi\) | |||||||
\(854\) | 3.52006 | + | 2.84619i | 0.120454 | + | 0.0973945i | ||||
\(855\) | 5.90329 | − | 3.21421i | 0.201888 | − | 0.109924i | ||||
\(856\) | 28.6696 | + | 33.4176i | 0.979907 | + | 1.14219i | ||||
\(857\) | 7.93272 | + | 6.08699i | 0.270977 | + | 0.207928i | 0.735307 | − | 0.677735i | \(-0.237038\pi\) |
−0.464330 | + | 0.885662i | \(0.653705\pi\) | |||||||
\(858\) | −17.3259 | + | 23.9137i | −0.591498 | + | 0.816401i | ||||
\(859\) | −44.4110 | + | 21.9011i | −1.51528 | + | 0.747255i | −0.994331 | − | 0.106330i | \(-0.966090\pi\) |
−0.520953 | + | 0.853586i | \(0.674423\pi\) | |||||||
\(860\) | 20.4061 | − | 10.4354i | 0.695841 | − | 0.355844i | ||||
\(861\) | 1.95730 | − | 1.09765i | 0.0667047 | − | 0.0374080i | ||||
\(862\) | 34.0540 | − | 15.7296i | 1.15988 | − | 0.535753i | ||||
\(863\) | − | 35.4780i | − | 1.20768i | −0.797104 | − | 0.603842i | \(-0.793636\pi\) | ||
0.797104 | − | 0.603842i | \(-0.206364\pi\) | |||||||
\(864\) | −28.6187 | − | 6.70586i | −0.973629 | − | 0.228138i | ||||
\(865\) | 6.74263i | 0.229256i | ||||||||
\(866\) | −5.29717 | − | 11.4682i | −0.180005 | − | 0.389705i | ||||
\(867\) | −5.97903 | + | 3.35303i | −0.203058 | + | 0.113875i | ||||
\(868\) | −1.21324 | + | 3.75281i | −0.0411800 | + | 0.127379i | ||||
\(869\) | 14.7296 | − | 7.26382i | 0.499667 | − | 0.246408i | ||||
\(870\) | −7.94754 | − | 5.75814i | −0.269447 | − | 0.195219i | ||||
\(871\) | −3.34987 | − | 2.57045i | −0.113506 | − | 0.0870963i | ||||
\(872\) | 20.4297 | + | 10.3525i | 0.691838 | + | 0.350581i | ||||
\(873\) | 0.361989 | − | 14.4740i | 0.0122515 | − | 0.489869i | ||||
\(874\) | −3.18040 | + | 3.93340i | −0.107578 | + | 0.133049i | ||||
\(875\) | 2.33294 | − | 2.04593i | 0.0788678 | − | 0.0691652i | ||||
\(876\) | −29.6024 | + | 44.5017i | −1.00017 | + | 1.50357i | ||||
\(877\) | 16.5131 | − | 1.08232i | 0.557606 | − | 0.0365475i | 0.216005 | − | 0.976392i | \(-0.430697\pi\) |
0.341602 | + | 0.939845i | \(0.389031\pi\) | |||||||
\(878\) | 5.08344 | − | 22.5429i | 0.171558 | − | 0.760785i | ||||
\(879\) | 31.4051 | + | 21.5570i | 1.05927 | + | 0.727099i | ||||
\(880\) | −22.5984 | − | 5.35487i | −0.761793 | − | 0.180513i | ||||
\(881\) | 5.44006 | + | 5.44006i | 0.183280 | + | 0.183280i | 0.792784 | − | 0.609503i | \(-0.208631\pi\) |
−0.609503 | + | 0.792784i | \(0.708631\pi\) | |||||||
\(882\) | −17.4829 | + | 23.5061i | −0.588679 | + | 0.791492i | ||||
\(883\) | −21.0019 | − | 31.4315i | −0.706770 | − | 1.05776i | −0.994969 | − | 0.100185i | \(-0.968056\pi\) |
0.288199 | − | 0.957571i | \(-0.406944\pi\) | |||||||
\(884\) | −2.52942 | − | 17.2656i | −0.0850737 | − | 0.580704i | ||||
\(885\) | −2.30978 | + | 15.9965i | −0.0776425 | + | 0.537716i | ||||
\(886\) | 13.7594 | + | 6.11389i | 0.462254 | + | 0.205400i | ||||
\(887\) | 36.8117 | − | 28.2466i | 1.23601 | − | 0.948427i | 0.236285 | − | 0.971684i | \(-0.424070\pi\) |
0.999730 | + | 0.0232564i | \(0.00740341\pi\) | |||||||
\(888\) | 32.1654 | − | 14.9379i | 1.07940 | − | 0.501282i | ||||
\(889\) | 0.672456 | + | 0.515994i | 0.0225534 | + | 0.0173059i | ||||
\(890\) | −8.03926 | + | 4.37265i | −0.269476 | + | 0.146571i | ||||
\(891\) | 16.5440 | − | 41.7528i | 0.554245 | − | 1.39877i | ||||
\(892\) | 2.27786 | − | 12.3923i | 0.0762685 | − | 0.414926i | ||||
\(893\) | 5.26203 | + | 15.5014i | 0.176087 | + | 0.518736i | ||||
\(894\) | −1.08695 | + | 6.37632i | −0.0363531 | + | 0.213256i | ||||
\(895\) | −7.00067 | − | 4.04184i | −0.234007 | − | 0.135104i | ||||
\(896\) | −3.48910 | + | 0.0637108i | −0.116563 | + | 0.00212843i | ||||
\(897\) | −7.32811 | − | 2.59018i | −0.244679 | − | 0.0864834i | ||||
\(898\) | −22.4840 | − | 8.27594i | −0.750301 | − | 0.276172i | ||||
\(899\) | −4.29516 | + | 21.5932i | −0.143252 | + | 0.720174i | ||||
\(900\) | 7.24813 | − | 20.6419i | 0.241604 | − | 0.688063i | ||||
\(901\) | −36.2278 | − | 24.2066i | −1.20692 | − | 0.806440i | ||||
\(902\) | 15.4698 | − | 25.2862i | 0.515086 | − | 0.841939i | ||||
\(903\) | 2.86846 | + | 4.41136i | 0.0954563 | + | 0.146801i | ||||
\(904\) | 3.95280 | − | 3.86774i | 0.131468 | − | 0.128639i | ||||
\(905\) | −9.19465 | − | 11.9827i | −0.305640 | − | 0.398318i | ||||
\(906\) | −5.12630 | − | 17.2222i | −0.170310 | − | 0.572170i | ||||
\(907\) | 33.5841 | − | 29.4524i | 1.11514 | − | 0.977952i | 0.115259 | − | 0.993335i | \(-0.463230\pi\) |
0.999882 | + | 0.0153830i | \(0.00489675\pi\) | |||||||
\(908\) | 4.88974 | − | 12.3090i | 0.162272 | − | 0.408489i | ||||
\(909\) | 14.3731 | + | 10.1326i | 0.476725 | + | 0.336076i | ||||
\(910\) | 1.08557 | + | 0.570123i | 0.0359863 | + | 0.0188994i | ||||
\(911\) | 13.3269 | + | 3.57093i | 0.441540 | + | 0.118310i | 0.472738 | − | 0.881203i | \(-0.343266\pi\) |
−0.0311983 | + | 0.999513i | \(0.509932\pi\) | |||||||
\(912\) | 4.07777 | − | 12.7030i | 0.135029 | − | 0.420637i | ||||
\(913\) | 19.7436 | − | 5.29028i | 0.653418 | − | 0.175083i | ||||
\(914\) | −32.7285 | − | 7.38032i | −1.08256 | − | 0.244119i | ||||
\(915\) | 5.66489 | − | 20.1315i | 0.187275 | − | 0.665526i | ||||
\(916\) | −8.94902 | + | 35.4562i | −0.295684 | + | 1.17151i | ||||
\(917\) | 2.46609 | − | 0.490536i | 0.0814375 | − | 0.0161989i | ||||
\(918\) | 10.2171 | + | 24.4927i | 0.337213 | + | 0.808380i | ||||
\(919\) | 33.8158 | + | 14.0070i | 1.11548 | + | 0.462047i | 0.862822 | − | 0.505509i | \(-0.168695\pi\) |
0.252658 | + | 0.967556i | \(0.418695\pi\) | |||||||
\(920\) | −0.333426 | − | 6.10347i | −0.0109927 | − | 0.201226i | ||||
\(921\) | −7.00230 | + | 13.7628i | −0.230734 | + | 0.453499i | ||||
\(922\) | 24.3821 | + | 25.6555i | 0.802983 | + | 0.844918i | ||||
\(923\) | −2.54578 | − | 5.16234i | −0.0837955 | − | 0.169920i | ||||
\(924\) | 0.685039 | − | 5.28771i | 0.0225361 | − | 0.173953i | ||||
\(925\) | 8.48470 | + | 24.9951i | 0.278975 | + | 0.821835i | ||||
\(926\) | −0.00706301 | + | 0.0774940i | −0.000232105 | + | 0.00254661i | ||||
\(927\) | 23.3236 | + | 18.8418i | 0.766049 | + | 0.618845i | ||||
\(928\) | −19.3037 | + | 2.61391i | −0.633676 | + | 0.0858058i | ||||
\(929\) | −10.4303 | − | 18.0658i | −0.342208 | − | 0.592721i | 0.642635 | − | 0.766173i | \(-0.277841\pi\) |
−0.984842 | + | 0.173452i | \(0.944508\pi\) | |||||||
\(930\) | 18.1426 | − | 1.69133i | 0.594918 | − | 0.0554610i | ||||
\(931\) | −9.99682 | − | 8.76697i | −0.327633 | − | 0.287326i | ||||
\(932\) | 17.2567 | + | 33.7449i | 0.565262 | + | 1.10535i | ||||
\(933\) | −42.3765 | − | 18.1769i | −1.38734 | − | 0.595084i | ||||
\(934\) | −13.5512 | + | 3.26395i | −0.443410 | + | 0.106800i | ||||
\(935\) | 8.02410 | + | 19.3719i | 0.262416 | + | 0.633529i | ||||
\(936\) | 20.4910 | − | 0.606099i | 0.669768 | − | 0.0198110i | ||||
\(937\) | 8.75505 | − | 21.1366i | 0.286015 | − | 0.690501i | −0.713938 | − | 0.700209i | \(-0.753090\pi\) |
0.999953 | + | 0.00970764i | \(0.00309009\pi\) | |||||||
\(938\) | 0.753082 | + | 0.118707i | 0.0245890 | + | 0.00387591i | ||||
\(939\) | −5.36434 | + | 37.1509i | −0.175059 | + | 1.21238i | ||||
\(940\) | −17.2741 | − | 9.64047i | −0.563418 | − | 0.314437i | ||||
\(941\) | −3.44283 | − | 52.5274i | −0.112233 | − | 1.71235i | −0.568650 | − | 0.822580i | \(-0.692534\pi\) |
0.456417 | − | 0.889766i | \(-0.349133\pi\) | |||||||
\(942\) | −18.0305 | + | 28.6608i | −0.587466 | + | 0.933819i | ||||
\(943\) | 7.53614 | + | 2.01930i | 0.245411 | + | 0.0657576i | ||||
\(944\) | 18.5921 | + | 26.1431i | 0.605122 | + | 0.850885i | ||||
\(945\) | −1.81404 | − | 0.432132i | −0.0590108 | − | 0.0140572i | ||||
\(946\) | 61.5370 | + | 32.3182i | 2.00074 | + | 1.05076i | ||||
\(947\) | 42.1985 | + | 20.8100i | 1.37127 | + | 0.676234i | 0.970758 | − | 0.240060i | \(-0.0771671\pi\) |
0.400508 | + | 0.916293i | \(0.368834\pi\) | |||||||
\(948\) | −10.2356 | − | 5.02138i | −0.332435 | − | 0.163087i | ||||
\(949\) | 11.9819 | − | 35.2977i | 0.388950 | − | 1.14581i | ||||
\(950\) | 9.07434 | + | 4.03213i | 0.294411 | + | 0.130820i | ||||
\(951\) | 17.5405 | − | 19.5037i | 0.568788 | − | 0.632451i | ||||
\(952\) | 1.89071 | + | 2.52030i | 0.0612781 | + | 0.0816834i | ||||
\(953\) | −3.03426 | − | 7.32536i | −0.0982895 | − | 0.237292i | 0.867085 | − | 0.498161i | \(-0.165991\pi\) |
−0.965374 | + | 0.260869i | \(0.915991\pi\) | |||||||
\(954\) | 33.1684 | − | 38.9861i | 1.07387 | − | 1.26222i | ||||
\(955\) | 8.14329 | − | 12.1873i | 0.263511 | − | 0.394371i | ||||
\(956\) | −9.51129 | − | 4.51943i | −0.307617 | − | 0.146169i | ||||
\(957\) | 0.372099 | − | 29.7611i | 0.0120283 | − | 0.962039i | ||||
\(958\) | 7.12081 | + | 41.2582i | 0.230063 | + | 1.33299i | ||||
\(959\) | 0.650406 | − | 1.12654i | 0.0210027 | − | 0.0363777i | ||||
\(960\) | 6.63125 | + | 14.6952i | 0.214023 | + | 0.474284i | ||||
\(961\) | −4.93781 | − | 8.55253i | −0.159284 | − | 0.275888i | ||||
\(962\) | −19.0048 | + | 15.8298i | −0.612738 | + | 0.510375i | ||||
\(963\) | 43.8338 | + | 16.1126i | 1.41252 | + | 0.519222i | ||||
\(964\) | −27.9587 | − | 40.5517i | −0.900489 | − | 1.30608i | ||||
\(965\) | −20.5976 | − | 1.35004i | −0.663060 | − | 0.0434592i | ||||
\(966\) | 1.38578 | − | 0.221370i | 0.0445867 | − | 0.00712245i | ||||
\(967\) | 3.52445 | + | 0.464003i | 0.113339 | + | 0.0149213i | 0.186982 | − | 0.982363i | \(-0.440129\pi\) |
−0.0736434 | + | 0.997285i | \(0.523463\pi\) | |||||||
\(968\) | −14.6507 | − | 36.4872i | −0.470890 | − | 1.17274i | ||||
\(969\) | −11.4536 | + | 3.72894i | −0.367942 | + | 0.119791i | ||||
\(970\) | −6.42113 | + | 4.67247i | −0.206170 | + | 0.150024i | ||||
\(971\) | −12.0379 | + | 2.39448i | −0.386313 | + | 0.0768425i | −0.384426 | − | 0.923156i | \(-0.625601\pi\) |
−0.00188703 | + | 0.999998i | \(0.500601\pi\) | |||||||
\(972\) | −29.9687 | + | 8.59508i | −0.961247 | + | 0.275687i | ||||
\(973\) | 5.30713 | − | 3.54611i | 0.170139 | − | 0.113683i | ||||
\(974\) | 0.825807 | + | 20.6299i | 0.0264606 | + | 0.661026i | ||||
\(975\) | −1.18817 | + | 15.2115i | −0.0380520 | + | 0.487157i | ||||
\(976\) | −19.4360 | − | 36.6786i | −0.622132 | − | 1.17405i | ||||
\(977\) | −9.98819 | − | 37.2764i | −0.319551 | − | 1.19258i | −0.919678 | − | 0.392674i | \(-0.871550\pi\) |
0.600127 | − | 0.799905i | \(-0.295117\pi\) | |||||||
\(978\) | −0.846701 | + | 22.3038i | −0.0270745 | + | 0.713198i | ||||
\(979\) | −24.8913 | − | 12.2750i | −0.795530 | − | 0.392312i | ||||
\(980\) | 16.0660 | − | 0.234043i | 0.513211 | − | 0.00747623i | ||||
\(981\) | 24.2725 | − | 0.982245i | 0.774961 | − | 0.0313607i | ||||
\(982\) | −29.8642 | + | 36.9349i | −0.953003 | + | 1.17864i | ||||
\(983\) | 29.1878 | − | 3.84264i | 0.930945 | − | 0.122561i | 0.350226 | − | 0.936665i | \(-0.386105\pi\) |
0.580719 | + | 0.814104i | \(0.302772\pi\) | |||||||
\(984\) | −20.4591 | + | 2.20833i | −0.652213 | + | 0.0703989i | ||||
\(985\) | 22.6421 | + | 2.98089i | 0.721438 | + | 0.0949791i | ||||
\(986\) | 12.1158 | + | 12.7485i | 0.385846 | + | 0.405996i | ||||
\(987\) | 1.79034 | − | 4.17388i | 0.0569871 | − | 0.132856i | ||||
\(988\) | −0.473244 | + | 9.29255i | −0.0150559 | + | 0.295635i | ||||
\(989\) | −3.56903 | + | 17.9427i | −0.113489 | + | 0.570545i | ||||
\(990\) | −23.6953 | + | 6.73175i | −0.753086 | + | 0.213949i | ||||
\(991\) | −42.3809 | −1.34627 | −0.673137 | − | 0.739518i | \(-0.735053\pi\) | ||||
−0.673137 | + | 0.739518i | \(0.735053\pi\) | |||||||
\(992\) | 23.7457 | − | 27.2793i | 0.753928 | − | 0.866118i | ||||
\(993\) | −23.0504 | − | 8.14735i | −0.731484 | − | 0.258548i | ||||
\(994\) | 0.849148 | + | 0.599179i | 0.0269334 | + | 0.0190048i | ||||
\(995\) | 12.4498 | − | 14.1962i | 0.394684 | − | 0.450051i | ||||
\(996\) | −11.2750 | − | 8.61467i | −0.357261 | − | 0.272966i | ||||
\(997\) | −31.7945 | − | 2.08392i | −1.00694 | − | 0.0659986i | −0.447004 | − | 0.894532i | \(-0.647509\pi\) |
−0.559939 | + | 0.828534i | \(0.689176\pi\) | |||||||
\(998\) | −10.5593 | + | 35.7446i | −0.334250 | + | 1.13148i | ||||
\(999\) | 22.0565 | − | 30.4710i | 0.697836 | − | 0.964059i |
(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 | 576.2.bl.a.131.57 | ✓ | 1504 | |
9.2 | odd | 6 | inner | 576.2.bl.a.515.90 | yes | 1504 | |
64.43 | odd | 16 | inner | 576.2.bl.a.491.90 | yes | 1504 | |
576.299 | even | 48 | inner | 576.2.bl.a.299.57 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bl.a.131.57 | ✓ | 1504 | 1.1 | even | 1 | trivial | |
576.2.bl.a.299.57 | yes | 1504 | 576.299 | even | 48 | inner | |
576.2.bl.a.491.90 | yes | 1504 | 64.43 | odd | 16 | inner | |
576.2.bl.a.515.90 | yes | 1504 | 9.2 | odd | 6 | inner |