Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(259,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.259");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.f (of order \(4\), degree \(2\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 259.15 | ||
Character | \(\chi\) | \(=\) | 731.259 |
Dual form | 731.2.f.c.302.14 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 0.395202i | − | 0.279450i | −0.990190 | − | 0.139725i | \(-0.955378\pi\) | ||
0.990190 | − | 0.139725i | \(-0.0446218\pi\) | |||||||
\(3\) | −2.06164 | + | 2.06164i | −1.19029 | + | 1.19029i | −0.213305 | + | 0.976986i | \(0.568423\pi\) |
−0.976986 | + | 0.213305i | \(0.931577\pi\) | |||||||
\(4\) | 1.84382 | 0.921908 | ||||||||
\(5\) | −2.29638 | + | 2.29638i | −1.02697 | + | 1.02697i | −0.0273470 | + | 0.999626i | \(0.508706\pi\) |
−0.999626 | + | 0.0273470i | \(0.991294\pi\) | |||||||
\(6\) | 0.814765 | + | 0.814765i | 0.332626 | + | 0.332626i | ||||
\(7\) | 2.83331 | + | 2.83331i | 1.07089 | + | 1.07089i | 0.997288 | + | 0.0736015i | \(0.0234493\pi\) |
0.0736015 | + | 0.997288i | \(0.476551\pi\) | |||||||
\(8\) | − | 1.51908i | − | 0.537077i | ||||||
\(9\) | − | 5.50076i | − | 1.83359i | ||||||
\(10\) | 0.907534 | + | 0.907534i | 0.286987 | + | 0.286987i | ||||
\(11\) | 4.59477 | + | 4.59477i | 1.38537 | + | 1.38537i | 0.834759 | + | 0.550616i | \(0.185607\pi\) |
0.550616 | + | 0.834759i | \(0.314393\pi\) | |||||||
\(12\) | −3.80129 | + | 3.80129i | −1.09734 | + | 1.09734i | ||||
\(13\) | 3.25648 | 0.903185 | 0.451593 | − | 0.892224i | \(-0.350856\pi\) | ||||
0.451593 | + | 0.892224i | \(0.350856\pi\) | |||||||
\(14\) | 1.11973 | − | 1.11973i | 0.299260 | − | 0.299260i | ||||
\(15\) | − | 9.46864i | − | 2.44479i | ||||||
\(16\) | 3.08729 | 0.771822 | ||||||||
\(17\) | 0.188473 | − | 4.11880i | 0.0457113 | − | 0.998955i | ||||
\(18\) | −2.17391 | −0.512395 | ||||||||
\(19\) | 5.98861i | 1.37388i | 0.726714 | + | 0.686941i | \(0.241047\pi\) | ||||
−0.726714 | + | 0.686941i | \(0.758953\pi\) | |||||||
\(20\) | −4.23410 | + | 4.23410i | −0.946774 | + | 0.946774i | ||||
\(21\) | −11.6825 | −2.54934 | ||||||||
\(22\) | 1.81586 | − | 1.81586i | 0.387143 | − | 0.387143i | ||||
\(23\) | −0.638007 | − | 0.638007i | −0.133034 | − | 0.133034i | 0.637454 | − | 0.770488i | \(-0.279987\pi\) |
−0.770488 | + | 0.637454i | \(0.779987\pi\) | |||||||
\(24\) | 3.13181 | + | 3.13181i | 0.639277 | + | 0.639277i | ||||
\(25\) | − | 5.54673i | − | 1.10935i | ||||||
\(26\) | − | 1.28697i | − | 0.252395i | ||||||
\(27\) | 5.15567 | + | 5.15567i | 0.992209 | + | 0.992209i | ||||
\(28\) | 5.22410 | + | 5.22410i | 0.987261 | + | 0.987261i | ||||
\(29\) | 1.30010 | − | 1.30010i | 0.241422 | − | 0.241422i | −0.576016 | − | 0.817438i | \(-0.695393\pi\) |
0.817438 | + | 0.576016i | \(0.195393\pi\) | |||||||
\(30\) | −3.74202 | −0.683197 | ||||||||
\(31\) | −2.41856 | + | 2.41856i | −0.434385 | + | 0.434385i | −0.890117 | − | 0.455732i | \(-0.849378\pi\) |
0.455732 | + | 0.890117i | \(0.349378\pi\) | |||||||
\(32\) | − | 4.25827i | − | 0.752762i | ||||||
\(33\) | −18.9456 | −3.29800 | ||||||||
\(34\) | −1.62775 | − | 0.0744847i | −0.279158 | − | 0.0127740i | ||||
\(35\) | −13.0127 | −2.19955 | ||||||||
\(36\) | − | 10.1424i | − | 1.69040i | ||||||
\(37\) | 1.08960 | − | 1.08960i | 0.179130 | − | 0.179130i | −0.611847 | − | 0.790976i | \(-0.709573\pi\) |
0.790976 | + | 0.611847i | \(0.209573\pi\) | |||||||
\(38\) | 2.36671 | 0.383931 | ||||||||
\(39\) | −6.71371 | + | 6.71371i | −1.07505 | + | 1.07505i | ||||
\(40\) | 3.48839 | + | 3.48839i | 0.551563 | + | 0.551563i | ||||
\(41\) | −5.14794 | − | 5.14794i | −0.803973 | − | 0.803973i | 0.179741 | − | 0.983714i | \(-0.442474\pi\) |
−0.983714 | + | 0.179741i | \(0.942474\pi\) | |||||||
\(42\) | 4.61696i | 0.712412i | ||||||||
\(43\) | 1.00000i | 0.152499i | ||||||||
\(44\) | 8.47190 | + | 8.47190i | 1.27719 | + | 1.27719i | ||||
\(45\) | 12.6318 | + | 12.6318i | 1.88304 | + | 1.88304i | ||||
\(46\) | −0.252141 | + | 0.252141i | −0.0371762 | + | 0.0371762i | ||||
\(47\) | −2.76213 | −0.402898 | −0.201449 | − | 0.979499i | \(-0.564565\pi\) | ||||
−0.201449 | + | 0.979499i | \(0.564565\pi\) | |||||||
\(48\) | −6.36489 | + | 6.36489i | −0.918693 | + | 0.918693i | ||||
\(49\) | 9.05525i | 1.29361i | ||||||||
\(50\) | −2.19208 | −0.310007 | ||||||||
\(51\) | 8.10293 | + | 8.88006i | 1.13464 | + | 1.24346i | ||||
\(52\) | 6.00435 | 0.832654 | ||||||||
\(53\) | − | 12.4587i | − | 1.71134i | −0.517522 | − | 0.855670i | \(-0.673145\pi\) | ||
0.517522 | − | 0.855670i | \(-0.326855\pi\) | |||||||
\(54\) | 2.03753 | − | 2.03753i | 0.277273 | − | 0.277273i | ||||
\(55\) | −21.1027 | −2.84548 | ||||||||
\(56\) | 4.30403 | − | 4.30403i | 0.575150 | − | 0.575150i | ||||
\(57\) | −12.3464 | − | 12.3464i | −1.63532 | − | 1.63532i | ||||
\(58\) | −0.513801 | − | 0.513801i | −0.0674654 | − | 0.0674654i | ||||
\(59\) | 2.60962i | 0.339743i | 0.985466 | + | 0.169872i | \(0.0543353\pi\) | ||||
−0.985466 | + | 0.169872i | \(0.945665\pi\) | |||||||
\(60\) | − | 17.4584i | − | 2.25387i | ||||||
\(61\) | −3.44132 | − | 3.44132i | −0.440616 | − | 0.440616i | 0.451603 | − | 0.892219i | \(-0.350852\pi\) |
−0.892219 | + | 0.451603i | \(0.850852\pi\) | |||||||
\(62\) | 0.955817 | + | 0.955817i | 0.121389 | + | 0.121389i | ||||
\(63\) | 15.5853 | − | 15.5853i | 1.96357 | − | 1.96357i | ||||
\(64\) | 4.49170 | 0.561463 | ||||||||
\(65\) | −7.47812 | + | 7.47812i | −0.927547 | + | 0.927547i | ||||
\(66\) | 7.48731i | 0.921625i | ||||||||
\(67\) | −1.40688 | −0.171878 | −0.0859390 | − | 0.996300i | \(-0.527389\pi\) | ||||
−0.0859390 | + | 0.996300i | \(0.527389\pi\) | |||||||
\(68\) | 0.347509 | − | 7.59430i | 0.0421416 | − | 0.920944i | ||||
\(69\) | 2.63069 | 0.316698 | ||||||||
\(70\) | 5.14264i | 0.614663i | ||||||||
\(71\) | −3.96268 | + | 3.96268i | −0.470283 | + | 0.470283i | −0.902006 | − | 0.431723i | \(-0.857906\pi\) |
0.431723 | + | 0.902006i | \(0.357906\pi\) | |||||||
\(72\) | −8.35610 | −0.984776 | ||||||||
\(73\) | 9.21476 | − | 9.21476i | 1.07851 | − | 1.07851i | 0.0818619 | − | 0.996644i | \(-0.473913\pi\) |
0.996644 | − | 0.0818619i | \(-0.0260866\pi\) | |||||||
\(74\) | −0.430613 | − | 0.430613i | −0.0500577 | − | 0.0500577i | ||||
\(75\) | 11.4354 | + | 11.4354i | 1.32045 | + | 1.32045i | ||||
\(76\) | 11.0419i | 1.26659i | ||||||||
\(77\) | 26.0368i | 2.96717i | ||||||||
\(78\) | 2.65327 | + | 2.65327i | 0.300423 | + | 0.300423i | ||||
\(79\) | −0.825486 | − | 0.825486i | −0.0928745 | − | 0.0928745i | 0.659143 | − | 0.752018i | \(-0.270919\pi\) |
−0.752018 | + | 0.659143i | \(0.770919\pi\) | |||||||
\(80\) | −7.08959 | + | 7.08959i | −0.792640 | + | 0.792640i | ||||
\(81\) | −4.75605 | −0.528450 | ||||||||
\(82\) | −2.03447 | + | 2.03447i | −0.224670 | + | 0.224670i | ||||
\(83\) | − | 0.937343i | − | 0.102887i | −0.998676 | − | 0.0514434i | \(-0.983618\pi\) | ||
0.998676 | − | 0.0514434i | \(-0.0163822\pi\) | |||||||
\(84\) | −21.5405 | −2.35026 | ||||||||
\(85\) | 9.02552 | + | 9.89113i | 0.978955 | + | 1.07284i | ||||
\(86\) | 0.395202 | 0.0426157 | ||||||||
\(87\) | 5.36068i | 0.574726i | ||||||||
\(88\) | 6.97983 | − | 6.97983i | 0.744052 | − | 0.744052i | ||||
\(89\) | 12.8547 | 1.36259 | 0.681297 | − | 0.732007i | \(-0.261416\pi\) | ||||
0.681297 | + | 0.732007i | \(0.261416\pi\) | |||||||
\(90\) | 4.99212 | − | 4.99212i | 0.526216 | − | 0.526216i | ||||
\(91\) | 9.22661 | + | 9.22661i | 0.967211 | + | 0.967211i | ||||
\(92\) | −1.17637 | − | 1.17637i | −0.122645 | − | 0.122645i | ||||
\(93\) | − | 9.97240i | − | 1.03409i | ||||||
\(94\) | 1.09160i | 0.112590i | ||||||||
\(95\) | −13.7521 | − | 13.7521i | −1.41094 | − | 1.41094i | ||||
\(96\) | 8.77903 | + | 8.77903i | 0.896006 | + | 0.896006i | ||||
\(97\) | −2.38498 | + | 2.38498i | −0.242158 | + | 0.242158i | −0.817742 | − | 0.575584i | \(-0.804775\pi\) |
0.575584 | + | 0.817742i | \(0.304775\pi\) | |||||||
\(98\) | 3.57865 | 0.361498 | ||||||||
\(99\) | 25.2747 | − | 25.2747i | 2.54020 | − | 2.54020i | ||||
\(100\) | − | 10.2272i | − | 1.02272i | ||||||
\(101\) | −15.1399 | −1.50648 | −0.753238 | − | 0.657748i | \(-0.771509\pi\) | ||||
−0.753238 | + | 0.657748i | \(0.771509\pi\) | |||||||
\(102\) | 3.50941 | − | 3.20229i | 0.347484 | − | 0.317074i | ||||
\(103\) | 11.4286 | 1.12610 | 0.563048 | − | 0.826424i | \(-0.309629\pi\) | ||||
0.563048 | + | 0.826424i | \(0.309629\pi\) | |||||||
\(104\) | − | 4.94686i | − | 0.485080i | ||||||
\(105\) | 26.8276 | − | 26.8276i | 2.61810 | − | 2.61810i | ||||
\(106\) | −4.92371 | −0.478233 | ||||||||
\(107\) | 0.251416 | − | 0.251416i | 0.0243053 | − | 0.0243053i | −0.694850 | − | 0.719155i | \(-0.744529\pi\) |
0.719155 | + | 0.694850i | \(0.244529\pi\) | |||||||
\(108\) | 9.50611 | + | 9.50611i | 0.914726 | + | 0.914726i | ||||
\(109\) | 3.23558 | + | 3.23558i | 0.309912 | + | 0.309912i | 0.844875 | − | 0.534963i | \(-0.179674\pi\) |
−0.534963 | + | 0.844875i | \(0.679674\pi\) | |||||||
\(110\) | 8.33981i | 0.795170i | ||||||||
\(111\) | 4.49275i | 0.426433i | ||||||||
\(112\) | 8.74723 | + | 8.74723i | 0.826536 | + | 0.826536i | ||||
\(113\) | −10.1991 | − | 10.1991i | −0.959447 | − | 0.959447i | 0.0397626 | − | 0.999209i | \(-0.487340\pi\) |
−0.999209 | + | 0.0397626i | \(0.987340\pi\) | |||||||
\(114\) | −4.87931 | + | 4.87931i | −0.456989 | + | 0.456989i | ||||
\(115\) | 2.93022 | 0.273244 | ||||||||
\(116\) | 2.39714 | − | 2.39714i | 0.222569 | − | 0.222569i | ||||
\(117\) | − | 17.9131i | − | 1.65607i | ||||||
\(118\) | 1.03132 | 0.0949411 | ||||||||
\(119\) | 12.2038 | − | 11.1358i | 1.11872 | − | 1.02082i | ||||
\(120\) | −14.3836 | −1.31304 | ||||||||
\(121\) | 31.2238i | 2.83852i | ||||||||
\(122\) | −1.36001 | + | 1.36001i | −0.123130 | + | 0.123130i | ||||
\(123\) | 21.2264 | 1.91392 | ||||||||
\(124\) | −4.45937 | + | 4.45937i | −0.400463 | + | 0.400463i | ||||
\(125\) | 1.25551 | + | 1.25551i | 0.112296 | + | 0.112296i | ||||
\(126\) | −6.15935 | − | 6.15935i | −0.548718 | − | 0.548718i | ||||
\(127\) | − | 20.0587i | − | 1.77992i | −0.456039 | − | 0.889960i | \(-0.650732\pi\) | ||
0.456039 | − | 0.889960i | \(-0.349268\pi\) | |||||||
\(128\) | − | 10.2917i | − | 0.909663i | ||||||
\(129\) | −2.06164 | − | 2.06164i | −0.181518 | − | 0.181518i | ||||
\(130\) | 2.95537 | + | 2.95537i | 0.259203 | + | 0.259203i | ||||
\(131\) | −2.21750 | + | 2.21750i | −0.193744 | + | 0.193744i | −0.797312 | − | 0.603568i | \(-0.793745\pi\) |
0.603568 | + | 0.797312i | \(0.293745\pi\) | |||||||
\(132\) | −34.9321 | −3.04045 | ||||||||
\(133\) | −16.9676 | + | 16.9676i | −1.47127 | + | 1.47127i | ||||
\(134\) | 0.556002i | 0.0480313i | ||||||||
\(135\) | −23.6788 | −2.03794 | ||||||||
\(136\) | −6.25679 | − | 0.286305i | −0.536515 | − | 0.0245505i | ||||
\(137\) | 0.434569 | 0.0371278 | 0.0185639 | − | 0.999828i | \(-0.494091\pi\) | ||||
0.0185639 | + | 0.999828i | \(0.494091\pi\) | |||||||
\(138\) | − | 1.03965i | − | 0.0885011i | ||||||
\(139\) | 9.73694 | − | 9.73694i | 0.825876 | − | 0.825876i | −0.161067 | − | 0.986943i | \(-0.551494\pi\) |
0.986943 | + | 0.161067i | \(0.0514936\pi\) | |||||||
\(140\) | −23.9930 | −2.02778 | ||||||||
\(141\) | 5.69454 | − | 5.69454i | 0.479566 | − | 0.479566i | ||||
\(142\) | 1.56606 | + | 1.56606i | 0.131421 | + | 0.131421i | ||||
\(143\) | 14.9628 | + | 14.9628i | 1.25125 | + | 1.25125i | ||||
\(144\) | − | 16.9824i | − | 1.41520i | ||||||
\(145\) | 5.97105i | 0.495868i | ||||||||
\(146\) | −3.64169 | − | 3.64169i | −0.301388 | − | 0.301388i | ||||
\(147\) | −18.6687 | − | 18.6687i | −1.53977 | − | 1.53977i | ||||
\(148\) | 2.00903 | − | 2.00903i | 0.165141 | − | 0.165141i | ||||
\(149\) | 15.1662 | 1.24246 | 0.621230 | − | 0.783628i | \(-0.286633\pi\) | ||||
0.621230 | + | 0.783628i | \(0.286633\pi\) | |||||||
\(150\) | 4.51929 | − | 4.51929i | 0.368998 | − | 0.368998i | ||||
\(151\) | − | 21.7696i | − | 1.77158i | −0.464085 | − | 0.885791i | \(-0.653617\pi\) | ||
0.464085 | − | 0.885791i | \(-0.346383\pi\) | |||||||
\(152\) | 9.09719 | 0.737879 | ||||||||
\(153\) | −22.6565 | − | 1.03674i | −1.83167 | − | 0.0838156i | ||||
\(154\) | 10.2898 | 0.829174 | ||||||||
\(155\) | − | 11.1078i | − | 0.892204i | ||||||
\(156\) | −12.3788 | + | 12.3788i | −0.991100 | + | 0.991100i | ||||
\(157\) | −7.12853 | −0.568918 | −0.284459 | − | 0.958688i | \(-0.591814\pi\) | ||||
−0.284459 | + | 0.958688i | \(0.591814\pi\) | |||||||
\(158\) | −0.326234 | + | 0.326234i | −0.0259537 | + | 0.0259537i | ||||
\(159\) | 25.6855 | + | 25.6855i | 2.03699 | + | 2.03699i | ||||
\(160\) | 9.77860 | + | 9.77860i | 0.773066 | + | 0.773066i | ||||
\(161\) | − | 3.61534i | − | 0.284929i | ||||||
\(162\) | 1.87960i | 0.147675i | ||||||||
\(163\) | −11.2828 | − | 11.2828i | −0.883735 | − | 0.883735i | 0.110177 | − | 0.993912i | \(-0.464858\pi\) |
−0.993912 | + | 0.110177i | \(0.964858\pi\) | |||||||
\(164\) | −9.49185 | − | 9.49185i | −0.741189 | − | 0.741189i | ||||
\(165\) | 43.5062 | − | 43.5062i | 3.38695 | − | 3.38695i | ||||
\(166\) | −0.370439 | −0.0287517 | ||||||||
\(167\) | −12.3901 | + | 12.3901i | −0.958771 | + | 0.958771i | −0.999183 | − | 0.0404116i | \(-0.987133\pi\) |
0.0404116 | + | 0.999183i | \(0.487133\pi\) | |||||||
\(168\) | 17.7467i | 1.36919i | ||||||||
\(169\) | −2.39533 | −0.184256 | ||||||||
\(170\) | 3.90899 | − | 3.56690i | 0.299806 | − | 0.273569i | ||||
\(171\) | 32.9419 | 2.51913 | ||||||||
\(172\) | 1.84382i | 0.140590i | ||||||||
\(173\) | 7.18265 | − | 7.18265i | 0.546087 | − | 0.546087i | −0.379220 | − | 0.925307i | \(-0.623808\pi\) |
0.925307 | + | 0.379220i | \(0.123808\pi\) | |||||||
\(174\) | 2.11855 | 0.160607 | ||||||||
\(175\) | 15.7156 | − | 15.7156i | 1.18799 | − | 1.18799i | ||||
\(176\) | 14.1854 | + | 14.1854i | 1.06926 | + | 1.06926i | ||||
\(177\) | −5.38010 | − | 5.38010i | −0.404393 | − | 0.404393i | ||||
\(178\) | − | 5.08019i | − | 0.380777i | ||||||
\(179\) | 11.4517i | 0.855941i | 0.903793 | + | 0.427970i | \(0.140771\pi\) | ||||
−0.903793 | + | 0.427970i | \(0.859229\pi\) | |||||||
\(180\) | 23.2908 | + | 23.2908i | 1.73599 | + | 1.73599i | ||||
\(181\) | 7.04766 | + | 7.04766i | 0.523849 | + | 0.523849i | 0.918731 | − | 0.394883i | \(-0.129215\pi\) |
−0.394883 | + | 0.918731i | \(0.629215\pi\) | |||||||
\(182\) | 3.64637 | − | 3.64637i | 0.270287 | − | 0.270287i | ||||
\(183\) | 14.1896 | 1.04892 | ||||||||
\(184\) | −0.969185 | + | 0.969185i | −0.0714493 | + | 0.0714493i | ||||
\(185\) | 5.00429i | 0.367923i | ||||||||
\(186\) | −3.94111 | −0.288976 | ||||||||
\(187\) | 19.7909 | − | 18.0589i | 1.44725 | − | 1.32060i | ||||
\(188\) | −5.09286 | −0.371435 | ||||||||
\(189\) | 29.2152i | 2.12509i | ||||||||
\(190\) | −5.43486 | + | 5.43486i | −0.394286 | + | 0.394286i | ||||
\(191\) | 4.33508 | 0.313675 | 0.156838 | − | 0.987624i | \(-0.449870\pi\) | ||||
0.156838 | + | 0.987624i | \(0.449870\pi\) | |||||||
\(192\) | −9.26029 | + | 9.26029i | −0.668304 | + | 0.668304i | ||||
\(193\) | −5.68265 | − | 5.68265i | −0.409046 | − | 0.409046i | 0.472360 | − | 0.881406i | \(-0.343402\pi\) |
−0.881406 | + | 0.472360i | \(0.843402\pi\) | |||||||
\(194\) | 0.942549 | + | 0.942549i | 0.0676710 | + | 0.0676710i | ||||
\(195\) | − | 30.8345i | − | 2.20810i | ||||||
\(196\) | 16.6962i | 1.19259i | ||||||||
\(197\) | 10.7322 | + | 10.7322i | 0.764636 | + | 0.764636i | 0.977157 | − | 0.212521i | \(-0.0681673\pi\) |
−0.212521 | + | 0.977157i | \(0.568167\pi\) | |||||||
\(198\) | −9.98860 | − | 9.98860i | −0.709859 | − | 0.709859i | ||||
\(199\) | −14.9004 | + | 14.9004i | −1.05626 | + | 1.05626i | −0.0579402 | + | 0.998320i | \(0.518453\pi\) |
−0.998320 | + | 0.0579402i | \(0.981547\pi\) | |||||||
\(200\) | −8.42595 | −0.595804 | ||||||||
\(201\) | 2.90049 | − | 2.90049i | 0.204585 | − | 0.204585i | ||||
\(202\) | 5.98331i | 0.420984i | ||||||||
\(203\) | 7.36716 | 0.517073 | ||||||||
\(204\) | 14.9403 | + | 16.3732i | 1.04603 | + | 1.14635i | ||||
\(205\) | 23.6433 | 1.65132 | ||||||||
\(206\) | − | 4.51661i | − | 0.314687i | ||||||
\(207\) | −3.50952 | + | 3.50952i | −0.243929 | + | 0.243929i | ||||
\(208\) | 10.0537 | 0.697098 | ||||||||
\(209\) | −27.5163 | + | 27.5163i | −1.90334 | + | 1.90334i | ||||
\(210\) | −10.6023 | − | 10.6023i | −0.731628 | − | 0.731628i | ||||
\(211\) | 3.38854 | + | 3.38854i | 0.233277 | + | 0.233277i | 0.814059 | − | 0.580782i | \(-0.197253\pi\) |
−0.580782 | + | 0.814059i | \(0.697253\pi\) | |||||||
\(212\) | − | 22.9716i | − | 1.57770i | ||||||
\(213\) | − | 16.3393i | − | 1.11955i | ||||||
\(214\) | −0.0993601 | − | 0.0993601i | −0.00679211 | − | 0.00679211i | ||||
\(215\) | −2.29638 | − | 2.29638i | −0.156612 | − | 0.156612i | ||||
\(216\) | 7.83189 | − | 7.83189i | 0.532892 | − | 0.532892i | ||||
\(217\) | −13.7050 | −0.930357 | ||||||||
\(218\) | 1.27871 | − | 1.27871i | 0.0866049 | − | 0.0866049i | ||||
\(219\) | 37.9951i | 2.56747i | ||||||||
\(220\) | −38.9094 | −2.62327 | ||||||||
\(221\) | 0.613757 | − | 13.4128i | 0.0412858 | − | 0.902241i | ||||
\(222\) | 1.77554 | 0.119167 | ||||||||
\(223\) | − | 19.5394i | − | 1.30845i | −0.756299 | − | 0.654226i | \(-0.772994\pi\) | ||
0.756299 | − | 0.654226i | \(-0.227006\pi\) | |||||||
\(224\) | 12.0650 | − | 12.0650i | 0.806125 | − | 0.806125i | ||||
\(225\) | −30.5112 | −2.03408 | ||||||||
\(226\) | −4.03068 | + | 4.03068i | −0.268117 | + | 0.268117i | ||||
\(227\) | 3.55396 | + | 3.55396i | 0.235885 | + | 0.235885i | 0.815144 | − | 0.579259i | \(-0.196658\pi\) |
−0.579259 | + | 0.815144i | \(0.696658\pi\) | |||||||
\(228\) | −22.7645 | − | 22.7645i | −1.50761 | − | 1.50761i | ||||
\(229\) | 1.92855i | 0.127442i | 0.997968 | + | 0.0637212i | \(0.0202968\pi\) | ||||
−0.997968 | + | 0.0637212i | \(0.979703\pi\) | |||||||
\(230\) | − | 1.15803i | − | 0.0763580i | ||||||
\(231\) | −53.6786 | − | 53.6786i | −3.53179 | − | 3.53179i | ||||
\(232\) | −1.97496 | − | 1.97496i | −0.129662 | − | 0.129662i | ||||
\(233\) | −20.6011 | + | 20.6011i | −1.34962 | + | 1.34962i | −0.463548 | + | 0.886072i | \(0.653424\pi\) |
−0.886072 | + | 0.463548i | \(0.846576\pi\) | |||||||
\(234\) | −7.07929 | −0.462788 | ||||||||
\(235\) | 6.34291 | − | 6.34291i | 0.413766 | − | 0.413766i | ||||
\(236\) | 4.81165i | 0.313212i | ||||||||
\(237\) | 3.40372 | 0.221095 | ||||||||
\(238\) | −4.40089 | − | 4.82297i | −0.285267 | − | 0.312626i | ||||
\(239\) | 23.8145 | 1.54043 | 0.770215 | − | 0.637785i | \(-0.220149\pi\) | ||||
0.770215 | + | 0.637785i | \(0.220149\pi\) | |||||||
\(240\) | − | 29.2324i | − | 1.88695i | ||||||
\(241\) | 8.38719 | − | 8.38719i | 0.540266 | − | 0.540266i | −0.383341 | − | 0.923607i | \(-0.625226\pi\) |
0.923607 | + | 0.383341i | \(0.125226\pi\) | |||||||
\(242\) | 12.3397 | 0.793225 | ||||||||
\(243\) | −5.66172 | + | 5.66172i | −0.363200 | + | 0.363200i | ||||
\(244\) | −6.34516 | − | 6.34516i | −0.406207 | − | 0.406207i | ||||
\(245\) | −20.7943 | − | 20.7943i | −1.32850 | − | 1.32850i | ||||
\(246\) | − | 8.38872i | − | 0.534846i | ||||||
\(247\) | 19.5018i | 1.24087i | ||||||||
\(248\) | 3.67398 | + | 3.67398i | 0.233298 | + | 0.233298i | ||||
\(249\) | 1.93247 | + | 1.93247i | 0.122465 | + | 0.122465i | ||||
\(250\) | 0.496180 | − | 0.496180i | 0.0313812 | − | 0.0313812i | ||||
\(251\) | −10.5472 | −0.665731 | −0.332866 | − | 0.942974i | \(-0.608016\pi\) | ||||
−0.332866 | + | 0.942974i | \(0.608016\pi\) | |||||||
\(252\) | 28.7365 | − | 28.7365i | 1.81023 | − | 1.81023i | ||||
\(253\) | − | 5.86299i | − | 0.368603i | ||||||
\(254\) | −7.92722 | −0.497398 | ||||||||
\(255\) | −38.9994 | − | 1.78458i | −2.44224 | − | 0.111755i | ||||
\(256\) | 4.91613 | 0.307258 | ||||||||
\(257\) | 10.0789i | 0.628706i | 0.949306 | + | 0.314353i | \(0.101788\pi\) | ||||
−0.949306 | + | 0.314353i | \(0.898212\pi\) | |||||||
\(258\) | −0.814765 | + | 0.814765i | −0.0507251 | + | 0.0507251i | ||||
\(259\) | 6.17436 | 0.383656 | ||||||||
\(260\) | −13.7883 | + | 13.7883i | −0.855113 | + | 0.855113i | ||||
\(261\) | −7.15153 | − | 7.15153i | −0.442668 | − | 0.442668i | ||||
\(262\) | 0.876360 | + | 0.876360i | 0.0541417 | + | 0.0541417i | ||||
\(263\) | 23.0328i | 1.42026i | 0.704069 | + | 0.710132i | \(0.251365\pi\) | ||||
−0.704069 | + | 0.710132i | \(0.748635\pi\) | |||||||
\(264\) | 28.7799i | 1.77128i | ||||||||
\(265\) | 28.6100 | + | 28.6100i | 1.75750 | + | 1.75750i | ||||
\(266\) | 6.70561 | + | 6.70561i | 0.411147 | + | 0.411147i | ||||
\(267\) | −26.5018 | + | 26.5018i | −1.62188 | + | 1.62188i | ||||
\(268\) | −2.59403 | −0.158456 | ||||||||
\(269\) | 7.75002 | − | 7.75002i | 0.472527 | − | 0.472527i | −0.430204 | − | 0.902732i | \(-0.641558\pi\) |
0.902732 | + | 0.430204i | \(0.141558\pi\) | |||||||
\(270\) | 9.35789i | 0.569503i | ||||||||
\(271\) | −21.5552 | −1.30939 | −0.654693 | − | 0.755895i | \(-0.727202\pi\) | ||||
−0.654693 | + | 0.755895i | \(0.727202\pi\) | |||||||
\(272\) | 0.581869 | − | 12.7159i | 0.0352810 | − | 0.771015i | ||||
\(273\) | −38.0440 | −2.30253 | ||||||||
\(274\) | − | 0.171742i | − | 0.0103753i | ||||||
\(275\) | 25.4860 | − | 25.4860i | 1.53686 | − | 1.53686i | ||||
\(276\) | 4.85050 | 0.291966 | ||||||||
\(277\) | 5.16679 | − | 5.16679i | 0.310442 | − | 0.310442i | −0.534639 | − | 0.845081i | \(-0.679552\pi\) |
0.845081 | + | 0.534639i | \(0.179552\pi\) | |||||||
\(278\) | −3.84805 | − | 3.84805i | −0.230791 | − | 0.230791i | ||||
\(279\) | 13.3039 | + | 13.3039i | 0.796483 | + | 0.796483i | ||||
\(280\) | 19.7674i | 1.18133i | ||||||||
\(281\) | 6.71403i | 0.400525i | 0.979742 | + | 0.200263i | \(0.0641795\pi\) | ||||
−0.979742 | + | 0.200263i | \(0.935820\pi\) | |||||||
\(282\) | −2.25049 | − | 2.25049i | −0.134015 | − | 0.134015i | ||||
\(283\) | 5.20126 | + | 5.20126i | 0.309183 | + | 0.309183i | 0.844592 | − | 0.535410i | \(-0.179843\pi\) |
−0.535410 | + | 0.844592i | \(0.679843\pi\) | |||||||
\(284\) | −7.30645 | + | 7.30645i | −0.433558 | + | 0.433558i | ||||
\(285\) | 56.7040 | 3.35886 | ||||||||
\(286\) | 5.91331 | − | 5.91331i | 0.349661 | − | 0.349661i | ||||
\(287\) | − | 29.1714i | − | 1.72193i | ||||||
\(288\) | −23.4237 | −1.38025 | ||||||||
\(289\) | −16.9290 | − | 1.55256i | −0.995821 | − | 0.0913271i | ||||
\(290\) | 2.35977 | 0.138570 | ||||||||
\(291\) | − | 9.83397i | − | 0.576478i | ||||||
\(292\) | 16.9903 | − | 16.9903i | 0.994283 | − | 0.994283i | ||||
\(293\) | 22.9344 | 1.33984 | 0.669922 | − | 0.742431i | \(-0.266327\pi\) | ||||
0.669922 | + | 0.742431i | \(0.266327\pi\) | |||||||
\(294\) | −7.37791 | + | 7.37791i | −0.430288 | + | 0.430288i | ||||
\(295\) | −5.99267 | − | 5.99267i | −0.348907 | − | 0.348907i | ||||
\(296\) | −1.65520 | − | 1.65520i | −0.0962064 | − | 0.0962064i | ||||
\(297\) | 47.3782i | 2.74916i | ||||||||
\(298\) | − | 5.99369i | − | 0.347205i | ||||||
\(299\) | −2.07766 | − | 2.07766i | −0.120154 | − | 0.120154i | ||||
\(300\) | 21.0848 | + | 21.0848i | 1.21733 | + | 1.21733i | ||||
\(301\) | −2.83331 | + | 2.83331i | −0.163309 | + | 0.163309i | ||||
\(302\) | −8.60336 | −0.495068 | ||||||||
\(303\) | 31.2131 | − | 31.2131i | 1.79314 | − | 1.79314i | ||||
\(304\) | 18.4886i | 1.06039i | ||||||||
\(305\) | 15.8052 | 0.905001 | ||||||||
\(306\) | −0.409722 | + | 8.95388i | −0.0234222 | + | 0.511859i | ||||
\(307\) | −8.33848 | −0.475902 | −0.237951 | − | 0.971277i | \(-0.576476\pi\) | ||||
−0.237951 | + | 0.971277i | \(0.576476\pi\) | |||||||
\(308\) | 48.0070i | 2.73545i | ||||||||
\(309\) | −23.5618 | + | 23.5618i | −1.34038 | + | 1.34038i | ||||
\(310\) | −4.38984 | −0.249326 | ||||||||
\(311\) | −8.53171 | + | 8.53171i | −0.483789 | + | 0.483789i | −0.906339 | − | 0.422551i | \(-0.861135\pi\) |
0.422551 | + | 0.906339i | \(0.361135\pi\) | |||||||
\(312\) | 10.1987 | + | 10.1987i | 0.577386 | + | 0.577386i | ||||
\(313\) | −11.1722 | − | 11.1722i | −0.631489 | − | 0.631489i | 0.316952 | − | 0.948441i | \(-0.397340\pi\) |
−0.948441 | + | 0.316952i | \(0.897340\pi\) | |||||||
\(314\) | 2.81720i | 0.158984i | ||||||||
\(315\) | 71.5797i | 4.03306i | ||||||||
\(316\) | −1.52204 | − | 1.52204i | −0.0856217 | − | 0.0856217i | ||||
\(317\) | 8.64878 | + | 8.64878i | 0.485764 | + | 0.485764i | 0.906967 | − | 0.421202i | \(-0.138392\pi\) |
−0.421202 | + | 0.906967i | \(0.638392\pi\) | |||||||
\(318\) | 10.1509 | − | 10.1509i | 0.569237 | − | 0.569237i | ||||
\(319\) | 11.9473 | 0.668921 | ||||||||
\(320\) | −10.3147 | + | 10.3147i | −0.576607 | + | 0.576607i | ||||
\(321\) | 1.03666i | 0.0578608i | ||||||||
\(322\) | −1.42879 | −0.0796232 | ||||||||
\(323\) | 24.6659 | + | 1.12869i | 1.37245 | + | 0.0628019i | ||||
\(324\) | −8.76929 | −0.487183 | ||||||||
\(325\) | − | 18.0628i | − | 1.00195i | ||||||
\(326\) | −4.45897 | + | 4.45897i | −0.246960 | + | 0.246960i | ||||
\(327\) | −13.3412 | −0.737772 | ||||||||
\(328\) | −7.82014 | + | 7.82014i | −0.431795 | + | 0.431795i | ||||
\(329\) | −7.82597 | − | 7.82597i | −0.431460 | − | 0.431460i | ||||
\(330\) | −17.1937 | − | 17.1937i | −0.946483 | − | 0.946483i | ||||
\(331\) | − | 8.06878i | − | 0.443500i | −0.975104 | − | 0.221750i | \(-0.928823\pi\) | ||
0.975104 | − | 0.221750i | \(-0.0711769\pi\) | |||||||
\(332\) | − | 1.72829i | − | 0.0948521i | ||||||
\(333\) | −5.99364 | − | 5.99364i | −0.328450 | − | 0.328450i | ||||
\(334\) | 4.89657 | + | 4.89657i | 0.267928 | + | 0.267928i | ||||
\(335\) | 3.23074 | − | 3.23074i | 0.176514 | − | 0.176514i | ||||
\(336\) | −36.0674 | −1.96764 | ||||||||
\(337\) | 16.3929 | − | 16.3929i | 0.892978 | − | 0.892978i | −0.101825 | − | 0.994802i | \(-0.532468\pi\) |
0.994802 | + | 0.101825i | \(0.0324681\pi\) | |||||||
\(338\) | 0.946640i | 0.0514904i | ||||||||
\(339\) | 42.0537 | 2.28404 | ||||||||
\(340\) | 16.6414 | + | 18.2374i | 0.902506 | + | 0.989063i | ||||
\(341\) | −22.2254 | −1.20357 | ||||||||
\(342\) | − | 13.0187i | − | 0.703970i | ||||||
\(343\) | −5.82316 | + | 5.82316i | −0.314421 | + | 0.314421i | ||||
\(344\) | 1.51908 | 0.0819034 | ||||||||
\(345\) | −6.04106 | + | 6.04106i | −0.325240 | + | 0.325240i | ||||
\(346\) | −2.83859 | − | 2.83859i | −0.152604 | − | 0.152604i | ||||
\(347\) | 4.41512 | + | 4.41512i | 0.237016 | + | 0.237016i | 0.815613 | − | 0.578597i | \(-0.196400\pi\) |
−0.578597 | + | 0.815613i | \(0.696400\pi\) | |||||||
\(348\) | 9.88411i | 0.529844i | ||||||||
\(349\) | 17.9709i | 0.961958i | 0.876732 | + | 0.480979i | \(0.159719\pi\) | ||||
−0.876732 | + | 0.480979i | \(0.840281\pi\) | |||||||
\(350\) | −6.21083 | − | 6.21083i | −0.331983 | − | 0.331983i | ||||
\(351\) | 16.7893 | + | 16.7893i | 0.896149 | + | 0.896149i | ||||
\(352\) | 19.5657 | − | 19.5657i | 1.04286 | − | 1.04286i | ||||
\(353\) | 13.3305 | 0.709512 | 0.354756 | − | 0.934959i | \(-0.384564\pi\) | ||||
0.354756 | + | 0.934959i | \(0.384564\pi\) | |||||||
\(354\) | −2.12622 | + | 2.12622i | −0.113008 | + | 0.113008i | ||||
\(355\) | − | 18.1996i | − | 0.965936i | ||||||
\(356\) | 23.7017 | 1.25619 | ||||||||
\(357\) | −2.20184 | + | 48.1180i | −0.116534 | + | 2.54667i | ||||
\(358\) | 4.52573 | 0.239192 | ||||||||
\(359\) | 10.2334i | 0.540096i | 0.962847 | + | 0.270048i | \(0.0870396\pi\) | ||||
−0.962847 | + | 0.270048i | \(0.912960\pi\) | |||||||
\(360\) | 19.1888 | − | 19.1888i | 1.01134 | − | 1.01134i | ||||
\(361\) | −16.8634 | −0.887550 | ||||||||
\(362\) | 2.78525 | − | 2.78525i | 0.146389 | − | 0.146389i | ||||
\(363\) | −64.3723 | − | 64.3723i | −3.37867 | − | 3.37867i | ||||
\(364\) | 17.0122 | + | 17.0122i | 0.891680 | + | 0.891680i | ||||
\(365\) | 42.3212i | 2.21519i | ||||||||
\(366\) | − | 5.60773i | − | 0.293121i | ||||||
\(367\) | 10.0427 | + | 10.0427i | 0.524227 | + | 0.524227i | 0.918845 | − | 0.394618i | \(-0.129123\pi\) |
−0.394618 | + | 0.918845i | \(0.629123\pi\) | |||||||
\(368\) | −1.96971 | − | 1.96971i | −0.102678 | − | 0.102678i | ||||
\(369\) | −28.3176 | + | 28.3176i | −1.47415 | + | 1.47415i | ||||
\(370\) | 1.97770 | 0.102816 | ||||||||
\(371\) | 35.2994 | − | 35.2994i | 1.83266 | − | 1.83266i | ||||
\(372\) | − | 18.3873i | − | 0.953336i | ||||||
\(373\) | −25.6931 | −1.33034 | −0.665168 | − | 0.746693i | \(-0.731640\pi\) | ||||
−0.665168 | + | 0.746693i | \(0.731640\pi\) | |||||||
\(374\) | −7.13691 | − | 7.82139i | −0.369041 | − | 0.404435i | ||||
\(375\) | −5.17684 | −0.267331 | ||||||||
\(376\) | 4.19591i | 0.216387i | ||||||||
\(377\) | 4.23375 | − | 4.23375i | 0.218049 | − | 0.218049i | ||||
\(378\) | 11.5459 | 0.593857 | ||||||||
\(379\) | −4.29359 | + | 4.29359i | −0.220547 | + | 0.220547i | −0.808729 | − | 0.588182i | \(-0.799844\pi\) |
0.588182 | + | 0.808729i | \(0.299844\pi\) | |||||||
\(380\) | −25.3564 | − | 25.3564i | −1.30076 | − | 1.30076i | ||||
\(381\) | 41.3538 | + | 41.3538i | 2.11862 | + | 2.11862i | ||||
\(382\) | − | 1.71323i | − | 0.0876564i | ||||||
\(383\) | 23.1778i | 1.18433i | 0.805816 | + | 0.592166i | \(0.201727\pi\) | ||||
−0.805816 | + | 0.592166i | \(0.798273\pi\) | |||||||
\(384\) | 21.2177 | + | 21.2177i | 1.08276 | + | 1.08276i | ||||
\(385\) | −59.7904 | − | 59.7904i | −3.04720 | − | 3.04720i | ||||
\(386\) | −2.24579 | + | 2.24579i | −0.114308 | + | 0.114308i | ||||
\(387\) | 5.50076 | 0.279619 | ||||||||
\(388\) | −4.39747 | + | 4.39747i | −0.223248 | + | 0.223248i | ||||
\(389\) | 16.0941i | 0.816005i | 0.912981 | + | 0.408002i | \(0.133774\pi\) | ||||
−0.912981 | + | 0.408002i | \(0.866226\pi\) | |||||||
\(390\) | −12.1858 | −0.617053 | ||||||||
\(391\) | −2.74807 | + | 2.50757i | −0.138976 | + | 0.126813i | ||||
\(392\) | 13.7557 | 0.694766 | ||||||||
\(393\) | − | 9.14340i | − | 0.461224i | ||||||
\(394\) | 4.24137 | − | 4.24137i | 0.213677 | − | 0.213677i | ||||
\(395\) | 3.79126 | 0.190759 | ||||||||
\(396\) | 46.6019 | − | 46.6019i | 2.34183 | − | 2.34183i | ||||
\(397\) | 2.44867 | + | 2.44867i | 0.122895 | + | 0.122895i | 0.765879 | − | 0.642984i | \(-0.222304\pi\) |
−0.642984 | + | 0.765879i | \(0.722304\pi\) | |||||||
\(398\) | 5.88866 | + | 5.88866i | 0.295172 | + | 0.295172i | ||||
\(399\) | − | 69.9622i | − | 3.50249i | ||||||
\(400\) | − | 17.1244i | − | 0.856218i | ||||||
\(401\) | 11.0274 | + | 11.0274i | 0.550681 | + | 0.550681i | 0.926637 | − | 0.375957i | \(-0.122686\pi\) |
−0.375957 | + | 0.926637i | \(0.622686\pi\) | |||||||
\(402\) | −1.14628 | − | 1.14628i | −0.0571712 | − | 0.0571712i | ||||
\(403\) | −7.87598 | + | 7.87598i | −0.392330 | + | 0.392330i | ||||
\(404\) | −27.9152 | −1.38883 | ||||||||
\(405\) | 10.9217 | − | 10.9217i | 0.542704 | − | 0.542704i | ||||
\(406\) | − | 2.91151i | − | 0.144496i | ||||||
\(407\) | 10.0129 | 0.496323 | ||||||||
\(408\) | 13.4895 | − | 12.3090i | 0.667831 | − | 0.609387i | ||||
\(409\) | 19.3698 | 0.957773 | 0.478887 | − | 0.877877i | \(-0.341041\pi\) | ||||
0.478887 | + | 0.877877i | \(0.341041\pi\) | |||||||
\(410\) | − | 9.34386i | − | 0.461460i | ||||||
\(411\) | −0.895927 | + | 0.895927i | −0.0441928 | + | 0.0441928i | ||||
\(412\) | 21.0723 | 1.03816 | ||||||||
\(413\) | −7.39384 | + | 7.39384i | −0.363827 | + | 0.363827i | ||||
\(414\) | 1.38697 | + | 1.38697i | 0.0681658 | + | 0.0681658i | ||||
\(415\) | 2.15250 | + | 2.15250i | 0.105662 | + | 0.105662i | ||||
\(416\) | − | 13.8670i | − | 0.679884i | ||||||
\(417\) | 40.1482i | 1.96607i | ||||||||
\(418\) | 10.8745 | + | 10.8745i | 0.531888 | + | 0.531888i | ||||
\(419\) | −16.8811 | − | 16.8811i | −0.824696 | − | 0.824696i | 0.162081 | − | 0.986777i | \(-0.448179\pi\) |
−0.986777 | + | 0.162081i | \(0.948179\pi\) | |||||||
\(420\) | 49.4651 | − | 49.4651i | 2.41365 | − | 2.41365i | ||||
\(421\) | 10.6382 | 0.518473 | 0.259237 | − | 0.965814i | \(-0.416529\pi\) | ||||
0.259237 | + | 0.965814i | \(0.416529\pi\) | |||||||
\(422\) | 1.33916 | − | 1.33916i | 0.0651892 | − | 0.0651892i | ||||
\(423\) | 15.1938i | 0.738749i | ||||||||
\(424\) | −18.9258 | −0.919121 | ||||||||
\(425\) | −22.8459 | − | 1.04541i | −1.10819 | − | 0.0507097i | ||||
\(426\) | −6.45730 | −0.312857 | ||||||||
\(427\) | − | 19.5006i | − | 0.943701i | ||||||
\(428\) | 0.463565 | − | 0.463565i | 0.0224073 | − | 0.0224073i | ||||
\(429\) | −61.6958 | −2.97870 | ||||||||
\(430\) | −0.907534 | + | 0.907534i | −0.0437652 | + | 0.0437652i | ||||
\(431\) | −12.2207 | − | 12.2207i | −0.588651 | − | 0.588651i | 0.348615 | − | 0.937266i | \(-0.386652\pi\) |
−0.937266 | + | 0.348615i | \(0.886652\pi\) | |||||||
\(432\) | 15.9170 | + | 15.9170i | 0.765809 | + | 0.765809i | ||||
\(433\) | 33.4188i | 1.60601i | 0.595975 | + | 0.803003i | \(0.296766\pi\) | ||||
−0.595975 | + | 0.803003i | \(0.703234\pi\) | |||||||
\(434\) | 5.41624i | 0.259988i | ||||||||
\(435\) | −12.3102 | − | 12.3102i | −0.590228 | − | 0.590228i | ||||
\(436\) | 5.96581 | + | 5.96581i | 0.285711 | + | 0.285711i | ||||
\(437\) | 3.82078 | − | 3.82078i | 0.182772 | − | 0.182772i | ||||
\(438\) | 15.0157 | 0.717479 | ||||||||
\(439\) | 12.2275 | − | 12.2275i | 0.583587 | − | 0.583587i | −0.352300 | − | 0.935887i | \(-0.614600\pi\) |
0.935887 | + | 0.352300i | \(0.114600\pi\) | |||||||
\(440\) | 32.0567i | 1.52824i | ||||||||
\(441\) | 49.8107 | 2.37194 | ||||||||
\(442\) | −5.30075 | − | 0.242558i | −0.252131 | − | 0.0115373i | ||||
\(443\) | −10.3059 | −0.489647 | −0.244823 | − | 0.969568i | \(-0.578730\pi\) | ||||
−0.244823 | + | 0.969568i | \(0.578730\pi\) | |||||||
\(444\) | 8.28380i | 0.393132i | ||||||||
\(445\) | −29.5193 | + | 29.5193i | −1.39935 | + | 1.39935i | ||||
\(446\) | −7.72199 | −0.365647 | ||||||||
\(447\) | −31.2672 | + | 31.2672i | −1.47889 | + | 1.47889i | ||||
\(448\) | 12.7264 | + | 12.7264i | 0.601264 | + | 0.601264i | ||||
\(449\) | −5.46474 | − | 5.46474i | −0.257897 | − | 0.257897i | 0.566301 | − | 0.824198i | \(-0.308374\pi\) |
−0.824198 | + | 0.566301i | \(0.808374\pi\) | |||||||
\(450\) | 12.0581i | 0.568424i | ||||||||
\(451\) | − | 47.3072i | − | 2.22761i | ||||||
\(452\) | −18.8052 | − | 18.8052i | −0.884521 | − | 0.884521i | ||||
\(453\) | 44.8811 | + | 44.8811i | 2.10870 | + | 2.10870i | ||||
\(454\) | 1.40453 | − | 1.40453i | 0.0659179 | − | 0.0659179i | ||||
\(455\) | −42.3756 | −1.98660 | ||||||||
\(456\) | −18.7552 | + | 18.7552i | −0.878291 | + | 0.878291i | ||||
\(457\) | 28.1596i | 1.31725i | 0.752470 | + | 0.658626i | \(0.228862\pi\) | ||||
−0.752470 | + | 0.658626i | \(0.771138\pi\) | |||||||
\(458\) | 0.762167 | 0.0356137 | ||||||||
\(459\) | 22.2069 | − | 20.2635i | 1.03653 | − | 0.945817i | ||||
\(460\) | 5.40278 | 0.251906 | ||||||||
\(461\) | − | 32.2892i | − | 1.50386i | −0.659245 | − | 0.751929i | \(-0.729124\pi\) | ||
0.659245 | − | 0.751929i | \(-0.270876\pi\) | |||||||
\(462\) | −21.2139 | + | 21.2139i | −0.986958 | + | 0.986958i | ||||
\(463\) | −34.1422 | −1.58672 | −0.793361 | − | 0.608751i | \(-0.791671\pi\) | ||||
−0.793361 | + | 0.608751i | \(0.791671\pi\) | |||||||
\(464\) | 4.01378 | − | 4.01378i | 0.186335 | − | 0.186335i | ||||
\(465\) | 22.9004 | + | 22.9004i | 1.06198 | + | 1.06198i | ||||
\(466\) | 8.14157 | + | 8.14157i | 0.377151 | + | 0.377151i | ||||
\(467\) | − | 24.5040i | − | 1.13391i | −0.823749 | − | 0.566954i | \(-0.808122\pi\) | ||
0.823749 | − | 0.566954i | \(-0.191878\pi\) | |||||||
\(468\) | − | 33.0285i | − | 1.52674i | ||||||
\(469\) | −3.98613 | − | 3.98613i | −0.184062 | − | 0.184062i | ||||
\(470\) | −2.50673 | − | 2.50673i | −0.115627 | − | 0.115627i | ||||
\(471\) | 14.6965 | − | 14.6965i | 0.677178 | − | 0.677178i | ||||
\(472\) | 3.96422 | 0.182468 | ||||||||
\(473\) | −4.59477 | + | 4.59477i | −0.211268 | + | 0.211268i | ||||
\(474\) | − | 1.34516i | − | 0.0617850i | ||||||
\(475\) | 33.2172 | 1.52411 | ||||||||
\(476\) | 22.5016 | − | 20.5324i | 1.03136 | − | 0.941100i | ||||
\(477\) | −68.5325 | −3.13789 | ||||||||
\(478\) | − | 9.41151i | − | 0.430473i | ||||||
\(479\) | 30.3065 | − | 30.3065i | 1.38474 | − | 1.38474i | 0.548756 | − | 0.835983i | \(-0.315102\pi\) |
0.835983 | − | 0.548756i | \(-0.184898\pi\) | |||||||
\(480\) | −40.3200 | −1.84035 | ||||||||
\(481\) | 3.54827 | − | 3.54827i | 0.161787 | − | 0.161787i | ||||
\(482\) | −3.31463 | − | 3.31463i | −0.150977 | − | 0.150977i | ||||
\(483\) | 7.45355 | + | 7.45355i | 0.339148 | + | 0.339148i | ||||
\(484\) | 57.5709i | 2.61686i | ||||||||
\(485\) | − | 10.9537i | − | 0.497380i | ||||||
\(486\) | 2.23752 | + | 2.23752i | 0.101496 | + | 0.101496i | ||||
\(487\) | −7.99832 | − | 7.99832i | −0.362438 | − | 0.362438i | 0.502272 | − | 0.864710i | \(-0.332498\pi\) |
−0.864710 | + | 0.502272i | \(0.832498\pi\) | |||||||
\(488\) | −5.22765 | + | 5.22765i | −0.236644 | + | 0.236644i | ||||
\(489\) | 46.5222 | 2.10380 | ||||||||
\(490\) | −8.21795 | + | 8.21795i | −0.371249 | + | 0.371249i | ||||
\(491\) | − | 4.23781i | − | 0.191250i | −0.995417 | − | 0.0956248i | \(-0.969515\pi\) | ||
0.995417 | − | 0.0956248i | \(-0.0304849\pi\) | |||||||
\(492\) | 39.1377 | 1.76446 | ||||||||
\(493\) | −5.10981 | − | 5.59987i | −0.230134 | − | 0.252206i | ||||
\(494\) | 7.70714 | 0.346761 | ||||||||
\(495\) | 116.081i | 5.21744i | ||||||||
\(496\) | −7.46678 | + | 7.46678i | −0.335268 | + | 0.335268i | ||||
\(497\) | −22.4550 | −1.00724 | ||||||||
\(498\) | 0.763714 | − | 0.763714i | 0.0342229 | − | 0.0342229i | ||||
\(499\) | 14.2904 | + | 14.2904i | 0.639727 | + | 0.639727i | 0.950488 | − | 0.310761i | \(-0.100584\pi\) |
−0.310761 | + | 0.950488i | \(0.600584\pi\) | |||||||
\(500\) | 2.31493 | + | 2.31493i | 0.103527 | + | 0.103527i | ||||
\(501\) | − | 51.0878i | − | 2.28243i | ||||||
\(502\) | 4.16826i | 0.186038i | ||||||||
\(503\) | 18.3954 | + | 18.3954i | 0.820211 | + | 0.820211i | 0.986138 | − | 0.165927i | \(-0.0530616\pi\) |
−0.165927 | + | 0.986138i | \(0.553062\pi\) | |||||||
\(504\) | −23.6754 | − | 23.6754i | −1.05459 | − | 1.05459i | ||||
\(505\) | 34.7670 | − | 34.7670i | 1.54711 | − | 1.54711i | ||||
\(506\) | −2.31706 | −0.103006 | ||||||||
\(507\) | 4.93833 | − | 4.93833i | 0.219319 | − | 0.219319i | ||||
\(508\) | − | 36.9845i | − | 1.64092i | ||||||
\(509\) | −10.1205 | −0.448585 | −0.224292 | − | 0.974522i | \(-0.572007\pi\) | ||||
−0.224292 | + | 0.974522i | \(0.572007\pi\) | |||||||
\(510\) | −0.705269 | + | 15.4126i | −0.0312298 | + | 0.682483i | ||||
\(511\) | 52.2165 | 2.30992 | ||||||||
\(512\) | − | 22.5262i | − | 0.995526i | ||||||
\(513\) | −30.8753 | + | 30.8753i | −1.36318 | + | 1.36318i | ||||
\(514\) | 3.98320 | 0.175692 | ||||||||
\(515\) | −26.2445 | + | 26.2445i | −1.15647 | + | 1.15647i | ||||
\(516\) | −3.80129 | − | 3.80129i | −0.167343 | − | 0.167343i | ||||
\(517\) | −12.6914 | − | 12.6914i | −0.558165 | − | 0.558165i | ||||
\(518\) | − | 2.44012i | − | 0.107213i | ||||||
\(519\) | 29.6161i | 1.30000i | ||||||||
\(520\) | 11.3599 | + | 11.3599i | 0.498164 | + | 0.498164i | ||||
\(521\) | −19.6572 | − | 19.6572i | −0.861196 | − | 0.861196i | 0.130281 | − | 0.991477i | \(-0.458412\pi\) |
−0.991477 | + | 0.130281i | \(0.958412\pi\) | |||||||
\(522\) | −2.82629 | + | 2.82629i | −0.123704 | + | 0.123704i | ||||
\(523\) | −17.1365 | −0.749326 | −0.374663 | − | 0.927161i | \(-0.622242\pi\) | ||||
−0.374663 | + | 0.927161i | \(0.622242\pi\) | |||||||
\(524\) | −4.08867 | + | 4.08867i | −0.178614 | + | 0.178614i | ||||
\(525\) | 64.8000i | 2.82810i | ||||||||
\(526\) | 9.10260 | 0.396892 | ||||||||
\(527\) | 9.50570 | + | 10.4174i | 0.414075 | + | 0.453788i | ||||
\(528\) | −58.4904 | −2.54547 | ||||||||
\(529\) | − | 22.1859i | − | 0.964604i | ||||||
\(530\) | 11.3067 | − | 11.3067i | 0.491133 | − | 0.491133i | ||||
\(531\) | 14.3549 | 0.622948 | ||||||||
\(532\) | −31.2851 | + | 31.2851i | −1.35638 | + | 1.35638i | ||||
\(533\) | −16.7642 | − | 16.7642i | −0.726137 | − | 0.726137i | ||||
\(534\) | 10.4736 | + | 10.4736i | 0.453235 | + | 0.453235i | ||||
\(535\) | 1.15469i | 0.0499218i | ||||||||
\(536\) | 2.13717i | 0.0923117i | ||||||||
\(537\) | −23.6094 | − | 23.6094i | −1.01882 | − | 1.01882i | ||||
\(538\) | −3.06282 | − | 3.06282i | −0.132048 | − | 0.132048i | ||||
\(539\) | −41.6068 | + | 41.6068i | −1.79213 | + | 1.79213i | ||||
\(540\) | −43.6593 | −1.87880 | ||||||||
\(541\) | −10.3717 | + | 10.3717i | −0.445915 | + | 0.445915i | −0.893994 | − | 0.448079i | \(-0.852108\pi\) |
0.448079 | + | 0.893994i | \(0.352108\pi\) | |||||||
\(542\) | 8.51866i | 0.365908i | ||||||||
\(543\) | −29.0596 | −1.24706 | ||||||||
\(544\) | −17.5389 | − | 0.802566i | −0.751975 | − | 0.0344097i | ||||
\(545\) | −14.8603 | −0.636543 | ||||||||
\(546\) | 15.0350i | 0.643440i | ||||||||
\(547\) | −1.84488 | + | 1.84488i | −0.0788812 | + | 0.0788812i | −0.745447 | − | 0.666565i | \(-0.767764\pi\) |
0.666565 | + | 0.745447i | \(0.267764\pi\) | |||||||
\(548\) | 0.801266 | 0.0342284 | ||||||||
\(549\) | −18.9299 | + | 18.9299i | −0.807907 | + | 0.807907i | ||||
\(550\) | −10.0721 | − | 10.0721i | −0.429475 | − | 0.429475i | ||||
\(551\) | 7.78578 | + | 7.78578i | 0.331686 | + | 0.331686i | ||||
\(552\) | − | 3.99623i | − | 0.170091i | ||||||
\(553\) | − | 4.67771i | − | 0.198917i | ||||||
\(554\) | −2.04192 | − | 2.04192i | −0.0867529 | − | 0.0867529i | ||||
\(555\) | −10.3171 | − | 10.3171i | −0.437935 | − | 0.437935i | ||||
\(556\) | 17.9531 | − | 17.9531i | 0.761382 | − | 0.761382i | ||||
\(557\) | −4.40379 | −0.186595 | −0.0932973 | − | 0.995638i | \(-0.529741\pi\) | ||||
−0.0932973 | + | 0.995638i | \(0.529741\pi\) | |||||||
\(558\) | 5.25772 | − | 5.25772i | 0.222577 | − | 0.222577i | ||||
\(559\) | 3.25648i | 0.137734i | ||||||||
\(560\) | −40.1740 | −1.69766 | ||||||||
\(561\) | −3.57072 | + | 78.0329i | −0.150756 | + | 3.29455i | ||||
\(562\) | 2.65339 | 0.111927 | ||||||||
\(563\) | 27.8666i | 1.17444i | 0.809428 | + | 0.587220i | \(0.199777\pi\) | ||||
−0.809428 | + | 0.587220i | \(0.800223\pi\) | |||||||
\(564\) | 10.4997 | − | 10.4997i | 0.442116 | − | 0.442116i | ||||
\(565\) | 46.8418 | 1.97065 | ||||||||
\(566\) | 2.05554 | − | 2.05554i | 0.0864010 | − | 0.0864010i | ||||
\(567\) | −13.4754 | − | 13.4754i | −0.565912 | − | 0.565912i | ||||
\(568\) | 6.01963 | + | 6.01963i | 0.252578 | + | 0.252578i | ||||
\(569\) | 11.9329i | 0.500255i | 0.968213 | + | 0.250128i | \(0.0804726\pi\) | ||||
−0.968213 | + | 0.250128i | \(0.919527\pi\) | |||||||
\(570\) | − | 22.4095i | − | 0.938631i | ||||||
\(571\) | −9.98575 | − | 9.98575i | −0.417891 | − | 0.417891i | 0.466585 | − | 0.884476i | \(-0.345484\pi\) |
−0.884476 | + | 0.466585i | \(0.845484\pi\) | |||||||
\(572\) | 27.5886 | + | 27.5886i | 1.15354 | + | 1.15354i | ||||
\(573\) | −8.93739 | + | 8.93739i | −0.373365 | + | 0.373365i | ||||
\(574\) | −11.5286 | −0.481194 | ||||||||
\(575\) | −3.53886 | + | 3.53886i | −0.147581 | + | 0.147581i | ||||
\(576\) | − | 24.7078i | − | 1.02949i | ||||||
\(577\) | 3.02120 | 0.125774 | 0.0628871 | − | 0.998021i | \(-0.479969\pi\) | ||||
0.0628871 | + | 0.998021i | \(0.479969\pi\) | |||||||
\(578\) | −0.613574 | + | 6.69035i | −0.0255213 | + | 0.278282i | ||||
\(579\) | 23.4312 | 0.973768 | ||||||||
\(580\) | 11.0095i | 0.457145i | ||||||||
\(581\) | 2.65578 | − | 2.65578i | 0.110180 | − | 0.110180i | ||||
\(582\) | −3.88640 | −0.161096 | ||||||||
\(583\) | 57.2450 | − | 57.2450i | 2.37085 | − | 2.37085i | ||||
\(584\) | −13.9980 | − | 13.9980i | −0.579240 | − | 0.579240i | ||||
\(585\) | 41.1353 | + | 41.1353i | 1.70074 | + | 1.70074i | ||||
\(586\) | − | 9.06373i | − | 0.374419i | ||||||
\(587\) | − | 34.4373i | − | 1.42138i | −0.703505 | − | 0.710691i | \(-0.748383\pi\) | ||
0.703505 | − | 0.710691i | \(-0.251617\pi\) | |||||||
\(588\) | −34.4217 | − | 34.4217i | −1.41953 | − | 1.41953i | ||||
\(589\) | −14.4838 | − | 14.4838i | −0.596794 | − | 0.596794i | ||||
\(590\) | −2.36831 | + | 2.36831i | −0.0975020 | + | 0.0975020i | ||||
\(591\) | −44.2519 | −1.82028 | ||||||||
\(592\) | 3.36392 | − | 3.36392i | 0.138256 | − | 0.138256i | ||||
\(593\) | − | 43.7413i | − | 1.79624i | −0.439751 | − | 0.898120i | \(-0.644933\pi\) | ||
0.439751 | − | 0.898120i | \(-0.355067\pi\) | |||||||
\(594\) | 18.7239 | 0.768253 | ||||||||
\(595\) | −2.45254 | + | 53.5967i | −0.100544 | + | 2.19725i | ||||
\(596\) | 27.9636 | 1.14543 | ||||||||
\(597\) | − | 61.4386i | − | 2.51451i | ||||||
\(598\) | −0.821094 | + | 0.821094i | −0.0335770 | + | 0.0335770i | ||||
\(599\) | 8.65224 | 0.353521 | 0.176760 | − | 0.984254i | \(-0.443438\pi\) | ||||
0.176760 | + | 0.984254i | \(0.443438\pi\) | |||||||
\(600\) | 17.3713 | − | 17.3713i | 0.709181 | − | 0.709181i | ||||
\(601\) | −18.0238 | − | 18.0238i | −0.735206 | − | 0.735206i | 0.236440 | − | 0.971646i | \(-0.424019\pi\) |
−0.971646 | + | 0.236440i | \(0.924019\pi\) | |||||||
\(602\) | 1.11973 | + | 1.11973i | 0.0456367 | + | 0.0456367i | ||||
\(603\) | 7.73892i | 0.315153i | ||||||||
\(604\) | − | 40.1390i | − | 1.63323i | ||||||
\(605\) | −71.7017 | − | 71.7017i | −2.91509 | − | 2.91509i | ||||
\(606\) | −12.3355 | − | 12.3355i | −0.501094 | − | 0.501094i | ||||
\(607\) | 15.2491 | − | 15.2491i | 0.618941 | − | 0.618941i | −0.326319 | − | 0.945260i | \(-0.605808\pi\) |
0.945260 | + | 0.326319i | \(0.105808\pi\) | |||||||
\(608\) | 25.5011 | 1.03421 | ||||||||
\(609\) | −15.1885 | + | 15.1885i | −0.615467 | + | 0.615467i | ||||
\(610\) | − | 6.24622i | − | 0.252902i | ||||||
\(611\) | −8.99483 | −0.363892 | ||||||||
\(612\) | −41.7744 | − | 1.91156i | −1.68863 | − | 0.0772703i | ||||
\(613\) | 5.19888 | 0.209981 | 0.104990 | − | 0.994473i | \(-0.466519\pi\) | ||||
0.104990 | + | 0.994473i | \(0.466519\pi\) | |||||||
\(614\) | 3.29538i | 0.132991i | ||||||||
\(615\) | −48.7440 | + | 48.7440i | −1.96555 | + | 1.96555i | ||||
\(616\) | 39.5520 | 1.59360 | ||||||||
\(617\) | 10.2893 | − | 10.2893i | 0.414230 | − | 0.414230i | −0.468979 | − | 0.883209i | \(-0.655378\pi\) |
0.883209 | + | 0.468979i | \(0.155378\pi\) | |||||||
\(618\) | 9.31165 | + | 9.31165i | 0.374570 | + | 0.374570i | ||||
\(619\) | −8.77436 | − | 8.77436i | −0.352671 | − | 0.352671i | 0.508431 | − | 0.861103i | \(-0.330226\pi\) |
−0.861103 | + | 0.508431i | \(0.830226\pi\) | |||||||
\(620\) | − | 20.4808i | − | 0.822530i | ||||||
\(621\) | − | 6.57871i | − | 0.263995i | ||||||
\(622\) | 3.37174 | + | 3.37174i | 0.135195 | + | 0.135195i | ||||
\(623\) | 36.4213 | + | 36.4213i | 1.45919 | + | 1.45919i | ||||
\(624\) | −20.7271 | + | 20.7271i | −0.829750 | + | 0.829750i | ||||
\(625\) | 21.9674 | 0.878696 | ||||||||
\(626\) | −4.41526 | + | 4.41526i | −0.176469 | + | 0.176469i | ||||
\(627\) | − | 113.458i | − | 4.53106i | ||||||
\(628\) | −13.1437 | −0.524490 | ||||||||
\(629\) | −4.28249 | − | 4.69321i | −0.170754 | − | 0.187131i | ||||
\(630\) | 28.2884 | 1.12704 | ||||||||
\(631\) | − | 17.8274i | − | 0.709696i | −0.934924 | − | 0.354848i | \(-0.884533\pi\) | ||
0.934924 | − | 0.354848i | \(-0.115467\pi\) | |||||||
\(632\) | −1.25398 | + | 1.25398i | −0.0498807 | + | 0.0498807i | ||||
\(633\) | −13.9719 | −0.555335 | ||||||||
\(634\) | 3.41801 | − | 3.41801i | 0.135747 | − | 0.135747i | ||||
\(635\) | 46.0624 | + | 46.0624i | 1.82793 | + | 1.82793i | ||||
\(636\) | 47.3593 | + | 47.3593i | 1.87792 | + | 1.87792i | ||||
\(637\) | 29.4883i | 1.16837i | ||||||||
\(638\) | − | 4.72159i | − | 0.186930i | ||||||
\(639\) | 21.7977 | + | 21.7977i | 0.862305 | + | 0.862305i | ||||
\(640\) | 23.6336 | + | 23.6336i | 0.934199 | + | 0.934199i | ||||
\(641\) | 3.60093 | − | 3.60093i | 0.142228 | − | 0.142228i | −0.632408 | − | 0.774636i | \(-0.717933\pi\) |
0.774636 | + | 0.632408i | \(0.217933\pi\) | |||||||
\(642\) | 0.409690 | 0.0161692 | ||||||||
\(643\) | −17.3740 | + | 17.3740i | −0.685162 | + | 0.685162i | −0.961159 | − | 0.275997i | \(-0.910992\pi\) |
0.275997 | + | 0.961159i | \(0.410992\pi\) | |||||||
\(644\) | − | 6.66602i | − | 0.262678i | ||||||
\(645\) | 9.46864 | 0.372828 | ||||||||
\(646\) | 0.446060 | − | 9.74799i | 0.0175500 | − | 0.383529i | ||||
\(647\) | −30.4910 | −1.19873 | −0.599363 | − | 0.800477i | \(-0.704579\pi\) | ||||
−0.599363 | + | 0.800477i | \(0.704579\pi\) | |||||||
\(648\) | 7.22484i | 0.283818i | ||||||||
\(649\) | −11.9906 | + | 11.9906i | −0.470671 | + | 0.470671i | ||||
\(650\) | −7.13846 | −0.279993 | ||||||||
\(651\) | 28.2549 | − | 28.2549i | 1.10740 | − | 1.10740i | ||||
\(652\) | −20.8034 | − | 20.8034i | −0.814723 | − | 0.814723i | ||||
\(653\) | −1.41809 | − | 1.41809i | −0.0554940 | − | 0.0554940i | 0.678815 | − | 0.734309i | \(-0.262494\pi\) |
−0.734309 | + | 0.678815i | \(0.762494\pi\) | |||||||
\(654\) | 5.27248i | 0.206170i | ||||||||
\(655\) | − | 10.1845i | − | 0.397940i | ||||||
\(656\) | −15.8932 | − | 15.8932i | −0.620524 | − | 0.620524i | ||||
\(657\) | −50.6881 | − | 50.6881i | −1.97753 | − | 1.97753i | ||||
\(658\) | −3.09284 | + | 3.09284i | −0.120571 | + | 0.120571i | ||||
\(659\) | 17.6191 | 0.686341 | 0.343171 | − | 0.939273i | \(-0.388499\pi\) | ||||
0.343171 | + | 0.939273i | \(0.388499\pi\) | |||||||
\(660\) | 80.2174 | − | 80.2174i | 3.12246 | − | 3.12246i | ||||
\(661\) | − | 4.93702i | − | 0.192028i | −0.995380 | − | 0.0960140i | \(-0.969391\pi\) | ||
0.995380 | − | 0.0960140i | \(-0.0306094\pi\) | |||||||
\(662\) | −3.18879 | −0.123936 | ||||||||
\(663\) | 26.3870 | + | 28.9177i | 1.02479 | + | 1.12307i | ||||
\(664\) | −1.42390 | −0.0552581 | ||||||||
\(665\) | − | 77.9280i | − | 3.02192i | ||||||
\(666\) | −2.36870 | + | 2.36870i | −0.0917851 | + | 0.0917851i | ||||
\(667\) | −1.65894 | −0.0642346 | ||||||||
\(668\) | −22.8450 | + | 22.8450i | −0.883899 | + | 0.883899i | ||||
\(669\) | 40.2832 | + | 40.2832i | 1.55744 | + | 1.55744i | ||||
\(670\) | −1.27679 | − | 1.27679i | −0.0493268 | − | 0.0493268i | ||||
\(671\) | − | 31.6241i | − | 1.22084i | ||||||
\(672\) | 49.7474i | 1.91905i | ||||||||
\(673\) | −0.0359806 | − | 0.0359806i | −0.00138695 | − | 0.00138695i | 0.706413 | − | 0.707800i | \(-0.250312\pi\) |
−0.707800 | + | 0.706413i | \(0.750312\pi\) | |||||||
\(674\) | −6.47850 | − | 6.47850i | −0.249542 | − | 0.249542i | ||||
\(675\) | 28.5971 | − | 28.5971i | 1.10070 | − | 1.10070i | ||||
\(676\) | −4.41655 | −0.169867 | ||||||||
\(677\) | 21.0357 | − | 21.0357i | 0.808468 | − | 0.808468i | −0.175934 | − | 0.984402i | \(-0.556294\pi\) |
0.984402 | + | 0.175934i | \(0.0562944\pi\) | |||||||
\(678\) | − | 16.6197i | − | 0.638275i | ||||||
\(679\) | −13.5148 | −0.518649 | ||||||||
\(680\) | 15.0254 | − | 13.7105i | 0.576199 | − | 0.525774i | ||||
\(681\) | −14.6540 | −0.561543 | ||||||||
\(682\) | 8.78351i | 0.336338i | ||||||||
\(683\) | −24.7129 | + | 24.7129i | −0.945612 | + | 0.945612i | −0.998595 | − | 0.0529832i | \(-0.983127\pi\) |
0.0529832 | + | 0.998595i | \(0.483127\pi\) | |||||||
\(684\) | 60.7388 | 2.32240 | ||||||||
\(685\) | −0.997937 | + | 0.997937i | −0.0381292 | + | 0.0381292i | ||||
\(686\) | 2.30132 | + | 2.30132i | 0.0878649 | + | 0.0878649i | ||||
\(687\) | −3.97599 | − | 3.97599i | −0.151693 | − | 0.151693i | ||||
\(688\) | 3.08729i | 0.117702i | ||||||||
\(689\) | − | 40.5716i | − | 1.54566i | ||||||
\(690\) | 2.38744 | + | 2.38744i | 0.0908882 | + | 0.0908882i | ||||
\(691\) | 26.6121 | + | 26.6121i | 1.01237 | + | 1.01237i | 0.999923 | + | 0.0124487i | \(0.00396265\pi\) |
0.0124487 | + | 0.999923i | \(0.496037\pi\) | |||||||
\(692\) | 13.2435 | − | 13.2435i | 0.503441 | − | 0.503441i | ||||
\(693\) | 143.222 | 5.44055 | ||||||||
\(694\) | 1.74486 | − | 1.74486i | 0.0662340 | − | 0.0662340i | ||||
\(695\) | 44.7194i | 1.69630i | ||||||||
\(696\) | 8.14332 | 0.308672 | ||||||||
\(697\) | −22.1736 | + | 20.2331i | −0.839883 | + | 0.766382i | ||||
\(698\) | 7.10211 | 0.268819 | ||||||||
\(699\) | − | 84.9441i | − | 3.21288i | ||||||
\(700\) | 28.9767 | − | 28.9767i | 1.09522 | − | 1.09522i | ||||
\(701\) | 8.84988 | 0.334255 | 0.167128 | − | 0.985935i | \(-0.446551\pi\) | ||||
0.167128 | + | 0.985935i | \(0.446551\pi\) | |||||||
\(702\) | 6.63518 | − | 6.63518i | 0.250429 | − | 0.250429i | ||||
\(703\) | 6.52521 | + | 6.52521i | 0.246103 | + | 0.246103i | ||||
\(704\) | 20.6383 | + | 20.6383i | 0.777836 | + | 0.777836i | ||||
\(705\) | 26.1537i | 0.985004i | ||||||||
\(706\) | − | 5.26824i | − | 0.198273i | ||||||
\(707\) | −42.8960 | − | 42.8960i | −1.61327 | − | 1.61327i | ||||
\(708\) | −9.91992 | − | 9.91992i | −0.372813 | − | 0.372813i | ||||
\(709\) | 1.65271 | − | 1.65271i | 0.0620689 | − | 0.0620689i | −0.675391 | − | 0.737460i | \(-0.736025\pi\) |
0.737460 | + | 0.675391i | \(0.236025\pi\) | |||||||
\(710\) | −7.19252 | −0.269931 | ||||||||
\(711\) | −4.54080 | + | 4.54080i | −0.170293 | + | 0.170293i | ||||
\(712\) | − | 19.5273i | − | 0.731818i | ||||||
\(713\) | 3.08611 | 0.115576 | ||||||||
\(714\) | 19.0163 | + | 0.870170i | 0.711668 | + | 0.0325653i | ||||
\(715\) | −68.7205 | −2.57000 | ||||||||
\(716\) | 21.1148i | 0.789099i | ||||||||
\(717\) | −49.0970 | + | 49.0970i | −1.83356 | + | 1.83356i | ||||
\(718\) | 4.04424 | 0.150930 | ||||||||
\(719\) | −16.0655 | + | 16.0655i | −0.599142 | + | 0.599142i | −0.940084 | − | 0.340942i | \(-0.889254\pi\) |
0.340942 | + | 0.940084i | \(0.389254\pi\) | |||||||
\(720\) | 38.9981 | + | 38.9981i | 1.45337 | + | 1.45337i | ||||
\(721\) | 32.3808 | + | 32.3808i | 1.20592 | + | 1.20592i | ||||
\(722\) | 6.66446i | 0.248025i | ||||||||
\(723\) | 34.5828i | 1.28615i | ||||||||
\(724\) | 12.9946 | + | 12.9946i | 0.482940 | + | 0.482940i | ||||
\(725\) | −7.21130 | − | 7.21130i | −0.267821 | − | 0.267821i | ||||
\(726\) | −25.4400 | + | 25.4400i | −0.944169 | + | 0.944169i | ||||
\(727\) | 38.1913 | 1.41644 | 0.708218 | − | 0.705994i | \(-0.249499\pi\) | ||||
0.708218 | + | 0.705994i | \(0.249499\pi\) | |||||||
\(728\) | 14.0160 | − | 14.0160i | 0.519467 | − | 0.519467i | ||||
\(729\) | − | 37.6131i | − | 1.39308i | ||||||
\(730\) | 16.7254 | 0.619035 | ||||||||
\(731\) | 4.11880 | + | 0.188473i | 0.152339 | + | 0.00697091i | ||||
\(732\) | 26.1629 | 0.967009 | ||||||||
\(733\) | − | 4.37235i | − | 0.161496i | −0.996735 | − | 0.0807482i | \(-0.974269\pi\) | ||
0.996735 | − | 0.0807482i | \(-0.0257310\pi\) | |||||||
\(734\) | 3.96891 | − | 3.96891i | 0.146495 | − | 0.146495i | ||||
\(735\) | 85.7410 | 3.16260 | ||||||||
\(736\) | −2.71680 | + | 2.71680i | −0.100143 | + | 0.100143i | ||||
\(737\) | −6.46430 | − | 6.46430i | −0.238115 | − | 0.238115i | ||||
\(738\) | 11.1911 | + | 11.1911i | 0.411952 | + | 0.411952i | ||||
\(739\) | 30.7137i | 1.12982i | 0.825153 | + | 0.564910i | \(0.191089\pi\) | ||||
−0.825153 | + | 0.564910i | \(0.808911\pi\) | |||||||
\(740\) | 9.22699i | 0.339191i | ||||||||
\(741\) | −40.2058 | − | 40.2058i | −1.47700 | − | 1.47700i | ||||
\(742\) | −13.9504 | − | 13.9504i | −0.512135 | − | 0.512135i | ||||
\(743\) | 15.1621 | − | 15.1621i | 0.556245 | − | 0.556245i | −0.371991 | − | 0.928236i | \(-0.621325\pi\) |
0.928236 | + | 0.371991i | \(0.121325\pi\) | |||||||
\(744\) | −15.1489 | −0.555386 | ||||||||
\(745\) | −34.8273 | + | 34.8273i | −1.27597 | + | 1.27597i | ||||
\(746\) | 10.1539i | 0.371762i | ||||||||
\(747\) | −5.15610 | −0.188652 | ||||||||
\(748\) | 36.4908 | − | 33.2973i | 1.33423 | − | 1.21747i | ||||
\(749\) | 1.42468 | 0.0520566 | ||||||||
\(750\) | 2.04589i | 0.0747055i | ||||||||
\(751\) | 16.8945 | − | 16.8945i | 0.616488 | − | 0.616488i | −0.328141 | − | 0.944629i | \(-0.606422\pi\) |
0.944629 | + | 0.328141i | \(0.106422\pi\) | |||||||
\(752\) | −8.52750 | −0.310966 | ||||||||
\(753\) | 21.7445 | − | 21.7445i | 0.792414 | − | 0.792414i | ||||
\(754\) | −1.67318 | − | 1.67318i | −0.0609337 | − | 0.0609337i | ||||
\(755\) | 49.9912 | + | 49.9912i | 1.81937 | + | 1.81937i | ||||
\(756\) | 53.8674i | 1.95914i | ||||||||
\(757\) | 2.81540i | 0.102327i | 0.998690 | + | 0.0511637i | \(0.0162930\pi\) | ||||
−0.998690 | + | 0.0511637i | \(0.983707\pi\) | |||||||
\(758\) | 1.69683 | + | 1.69683i | 0.0616318 | + | 0.0616318i | ||||
\(759\) | 12.0874 | + | 12.0874i | 0.438745 | + | 0.438745i | ||||
\(760\) | −20.8906 | + | 20.8906i | −0.757782 | + | 0.757782i | ||||
\(761\) | 22.7702 | 0.825421 | 0.412710 | − | 0.910862i | \(-0.364582\pi\) | ||||
0.412710 | + | 0.910862i | \(0.364582\pi\) | |||||||
\(762\) | 16.3431 | − | 16.3431i | 0.592048 | − | 0.592048i | ||||
\(763\) | 18.3348i | 0.663764i | ||||||||
\(764\) | 7.99308 | 0.289180 | ||||||||
\(765\) | 54.4087 | − | 49.6472i | 1.96715 | − | 1.79500i | ||||
\(766\) | 9.15992 | 0.330961 | ||||||||
\(767\) | 8.49817i | 0.306851i | ||||||||
\(768\) | −10.1353 | + | 10.1353i | −0.365726 | + | 0.365726i | ||||
\(769\) | −25.9882 | −0.937160 | −0.468580 | − | 0.883421i | \(-0.655234\pi\) | ||||
−0.468580 | + | 0.883421i | \(0.655234\pi\) | |||||||
\(770\) | −23.6292 | + | 23.6292i | −0.851539 | + | 0.851539i | ||||
\(771\) | −20.7791 | − | 20.7791i | −0.748343 | − | 0.748343i | ||||
\(772\) | −10.4778 | − | 10.4778i | −0.377103 | − | 0.377103i | ||||
\(773\) | − | 22.0854i | − | 0.794355i | −0.917742 | − | 0.397177i | \(-0.869990\pi\) | ||
0.917742 | − | 0.397177i | \(-0.130010\pi\) | |||||||
\(774\) | − | 2.17391i | − | 0.0781395i | ||||||
\(775\) | 13.4151 | + | 13.4151i | 0.481884 | + | 0.481884i | ||||
\(776\) | 3.62298 | + | 3.62298i | 0.130058 | + | 0.130058i | ||||
\(777\) | −12.7293 | + | 12.7293i | −0.456662 | + | 0.456662i | ||||
\(778\) | 6.36043 | 0.228032 | ||||||||
\(779\) | 30.8290 | − | 30.8290i | 1.10456 | − | 1.10456i | ||||
\(780\) | − | 56.8531i | − | 2.03567i | ||||||
\(781\) | −36.4152 | −1.30304 | ||||||||
\(782\) | 0.990997 | + | 1.08604i | 0.0354380 | + | 0.0388367i | ||||
\(783\) | 13.4058 | 0.479083 | ||||||||
\(784\) | 27.9562i | 0.998435i | ||||||||
\(785\) | 16.3698 | − | 16.3698i | 0.584264 | − | 0.584264i | ||||
\(786\) | −3.61349 | −0.128889 | ||||||||
\(787\) | 19.5539 | − | 19.5539i | 0.697020 | − | 0.697020i | −0.266747 | − | 0.963767i | \(-0.585949\pi\) |
0.963767 | + | 0.266747i | \(0.0859488\pi\) | |||||||
\(788\) | 19.7882 | + | 19.7882i | 0.704924 | + | 0.704924i | ||||
\(789\) | −47.4855 | − | 47.4855i | −1.69053 | − | 1.69053i | ||||
\(790\) | − | 1.49831i | − | 0.0533076i | ||||||
\(791\) | − | 57.7941i | − | 2.05492i | ||||||
\(792\) | −38.3943 | − | 38.3943i | −1.36428 | − | 1.36428i | ||||
\(793\) | −11.2066 | − | 11.2066i | −0.397958 | − | 0.397958i | ||||
\(794\) | 0.967718 | − | 0.967718i | 0.0343430 | − | 0.0343430i | ||||
\(795\) | −117.967 | −4.18387 | ||||||||
\(796\) | −27.4736 | + | 27.4736i | −0.973775 | + | 0.973775i | ||||
\(797\) | − | 29.5654i | − | 1.04726i | −0.851946 | − | 0.523630i | \(-0.824577\pi\) | ||
0.851946 | − | 0.523630i | \(-0.175423\pi\) | |||||||
\(798\) | −27.6492 | −0.978770 | ||||||||
\(799\) | −0.520586 | + | 11.3767i | −0.0184170 | + | 0.402477i | ||||
\(800\) | −23.6195 | −0.835074 | ||||||||
\(801\) | − | 70.7105i | − | 2.49843i | ||||||
\(802\) | 4.35803 | − | 4.35803i | 0.153888 | − | 0.153888i | ||||
\(803\) | 84.6793 | 2.98827 | ||||||||
\(804\) | 5.34797 | − | 5.34797i | 0.188608 | − | 0.188608i | ||||
\(805\) | 8.30220 | + | 8.30220i | 0.292614 | + | 0.292614i | ||||
\(806\) | 3.11260 | + | 3.11260i | 0.109637 | + | 0.109637i | ||||
\(807\) | 31.9556i | 1.12489i | ||||||||
\(808\) | 22.9987i | 0.809093i | ||||||||
\(809\) | 32.4208 | + | 32.4208i | 1.13985 | + | 1.13985i | 0.988476 | + | 0.151378i | \(0.0483711\pi\) |
0.151378 | + | 0.988476i | \(0.451629\pi\) | |||||||
\(810\) | −4.31628 | − | 4.31628i | −0.151659 | − | 0.151659i | ||||
\(811\) | −25.3883 | + | 25.3883i | −0.891505 | + | 0.891505i | −0.994665 | − | 0.103160i | \(-0.967105\pi\) |
0.103160 | + | 0.994665i | \(0.467105\pi\) | |||||||
\(812\) | 13.5837 | 0.476694 | ||||||||
\(813\) | 44.4392 | − | 44.4392i | 1.55855 | − | 1.55855i | ||||
\(814\) | − | 3.95713i | − | 0.138697i | ||||||
\(815\) | 51.8191 | 1.81514 | ||||||||
\(816\) | 25.0161 | + | 27.4153i | 0.875738 | + | 0.959727i | ||||
\(817\) | −5.98861 | −0.209515 | ||||||||
\(818\) | − | 7.65496i | − | 0.267649i | ||||||
\(819\) | 50.7533 | − | 50.7533i | 1.77346 | − | 1.77346i | ||||
\(820\) | 43.5938 | 1.52236 | ||||||||
\(821\) | −0.652865 | + | 0.652865i | −0.0227851 | + | 0.0227851i | −0.718408 | − | 0.695622i | \(-0.755129\pi\) |
0.695622 | + | 0.718408i | \(0.255129\pi\) | |||||||
\(822\) | 0.354072 | + | 0.354072i | 0.0123497 | + | 0.0123497i | ||||
\(823\) | −13.2358 | − | 13.2358i | −0.461371 | − | 0.461371i | 0.437734 | − | 0.899105i | \(-0.355781\pi\) |
−0.899105 | + | 0.437734i | \(0.855781\pi\) | |||||||
\(824\) | − | 17.3610i | − | 0.604800i | ||||||
\(825\) | 105.086i | 3.65862i | ||||||||
\(826\) | 2.92206 | + | 2.92206i | 0.101671 | + | 0.101671i | ||||
\(827\) | −0.361808 | − | 0.361808i | −0.0125813 | − | 0.0125813i | 0.700788 | − | 0.713369i | \(-0.252832\pi\) |
−0.713369 | + | 0.700788i | \(0.752832\pi\) | |||||||
\(828\) | −6.47091 | + | 6.47091i | −0.224880 | + | 0.224880i | ||||
\(829\) | 7.59855 | 0.263908 | 0.131954 | − | 0.991256i | \(-0.457875\pi\) | ||||
0.131954 | + | 0.991256i | \(0.457875\pi\) | |||||||
\(830\) | 0.850670 | − | 0.850670i | 0.0295272 | − | 0.0295272i | ||||
\(831\) | 21.3042i | 0.739033i | ||||||||
\(832\) | 14.6271 | 0.507105 | ||||||||
\(833\) | 37.2967 | + | 1.70667i | 1.29226 | + | 0.0591325i | ||||
\(834\) | 15.8666 | 0.549417 | ||||||||
\(835\) | − | 56.9046i | − | 1.96926i | ||||||
\(836\) | −50.7349 | + | 50.7349i | −1.75470 | + | 1.75470i | ||||
\(837\) | −24.9386 | −0.862002 | ||||||||
\(838\) | −6.67144 | + | 6.67144i | −0.230461 | + | 0.230461i | ||||
\(839\) | −21.4529 | − | 21.4529i | −0.740636 | − | 0.740636i | 0.232064 | − | 0.972700i | \(-0.425452\pi\) |
−0.972700 | + | 0.232064i | \(0.925452\pi\) | |||||||
\(840\) | −40.7533 | − | 40.7533i | −1.40612 | − | 1.40612i | ||||
\(841\) | 25.6195i | 0.883431i | ||||||||
\(842\) | − | 4.20423i | − | 0.144887i | ||||||
\(843\) | −13.8419 | − | 13.8419i | −0.476742 | − | 0.476742i | ||||
\(844\) | 6.24785 | + | 6.24785i | 0.215060 | + | 0.215060i | ||||
\(845\) | 5.50060 | − | 5.50060i | 0.189226 | − | 0.189226i | ||||
\(846\) | 6.00462 | 0.206443 | ||||||||
\(847\) | −88.4665 | + | 88.4665i | −3.03975 | + | 3.03975i | ||||
\(848\) | − | 38.4637i | − | 1.32085i | ||||||
\(849\) | −21.4463 | −0.736035 | ||||||||
\(850\) | −0.413147 | + | 9.02872i | −0.0141708 | + | 0.309683i | ||||
\(851\) | −1.39035 | −0.0476606 | ||||||||
\(852\) | − | 30.1266i | − | 1.03212i | ||||||
\(853\) | −26.7850 | + | 26.7850i | −0.917102 | + | 0.917102i | −0.996818 | − | 0.0797153i | \(-0.974599\pi\) |
0.0797153 | + | 0.996818i | \(0.474599\pi\) | |||||||
\(854\) | −7.70668 | −0.263717 | ||||||||
\(855\) | −75.6471 | + | 75.6471i | −2.58708 | + | 2.58708i | ||||
\(856\) | −0.381922 | − | 0.381922i | −0.0130538 | − | 0.0130538i | ||||
\(857\) | −23.6022 | − | 23.6022i | −0.806235 | − | 0.806235i | 0.177827 | − | 0.984062i | \(-0.443093\pi\) |
−0.984062 | + | 0.177827i | \(0.943093\pi\) | |||||||
\(858\) | 24.3823i | 0.832398i | ||||||||
\(859\) | 15.3675i | 0.524333i | 0.965023 | + | 0.262167i | \(0.0844370\pi\) | ||||
−0.965023 | + | 0.262167i | \(0.915563\pi\) | |||||||
\(860\) | −4.23410 | − | 4.23410i | −0.144382 | − | 0.144382i | ||||
\(861\) | 60.1410 | + | 60.1410i | 2.04960 | + | 2.04960i | ||||
\(862\) | −4.82964 | + | 4.82964i | −0.164498 | + | 0.164498i | ||||
\(863\) | −34.4359 | −1.17221 | −0.586106 | − | 0.810234i | \(-0.699340\pi\) | ||||
−0.586106 | + | 0.810234i | \(0.699340\pi\) | |||||||
\(864\) | 21.9542 | − | 21.9542i | 0.746898 | − | 0.746898i | ||||
\(865\) | 32.9882i | 1.12163i | ||||||||
\(866\) | 13.2072 | 0.448798 | ||||||||
\(867\) | 38.1023 | − | 31.7007i | 1.29402 | − | 1.07661i | ||||
\(868\) | −25.2695 | −0.857704 | ||||||||
\(869\) | − | 7.58584i | − | 0.257332i | ||||||
\(870\) | −4.86500 | + | 4.86500i | −0.164939 | + | 0.164939i | ||||
\(871\) | −4.58149 | −0.155238 | ||||||||
\(872\) | 4.91511 | − | 4.91511i | 0.166447 | − | 0.166447i | ||||
\(873\) | 13.1192 | + | 13.1192i | 0.444018 | + | 0.444018i | ||||
\(874\) | −1.50998 | − | 1.50998i | −0.0510757 | − | 0.0510757i | ||||
\(875\) | 7.11450i | 0.240514i | ||||||||
\(876\) | 70.0560i | 2.36697i | ||||||||
\(877\) | 33.0294 | + | 33.0294i | 1.11532 | + | 1.11532i | 0.992418 | + | 0.122906i | \(0.0392215\pi\) |
0.122906 | + | 0.992418i | \(0.460778\pi\) | |||||||
\(878\) | −4.83233 | − | 4.83233i | −0.163083 | − | 0.163083i | ||||
\(879\) | −47.2827 | + | 47.2827i | −1.59480 | + | 1.59480i | ||||
\(880\) | −65.1500 | −2.19621 | ||||||||
\(881\) | 2.52417 | − | 2.52417i | 0.0850415 | − | 0.0850415i | −0.663306 | − | 0.748348i | \(-0.730847\pi\) |
0.748348 | + | 0.663306i | \(0.230847\pi\) | |||||||
\(882\) | − | 19.6853i | − | 0.662838i | ||||||
\(883\) | −9.16688 | −0.308490 | −0.154245 | − | 0.988033i | \(-0.549295\pi\) | ||||
−0.154245 | + | 0.988033i | \(0.549295\pi\) | |||||||
\(884\) | 1.13166 | − | 24.7307i | 0.0380617 | − | 0.831783i | ||||
\(885\) | 24.7095 | 0.830602 | ||||||||
\(886\) | 4.07290i | 0.136832i | ||||||||
\(887\) | −1.22744 | + | 1.22744i | −0.0412133 | + | 0.0412133i | −0.727413 | − | 0.686200i | \(-0.759278\pi\) |
0.686200 | + | 0.727413i | \(0.259278\pi\) | |||||||
\(888\) | 6.82485 | 0.229027 | ||||||||
\(889\) | 56.8324 | − | 56.8324i | 1.90610 | − | 1.90610i | ||||
\(890\) | 11.6661 | + | 11.6661i | 0.391047 | + | 0.391047i | ||||
\(891\) | −21.8530 | − | 21.8530i | −0.732102 | − | 0.732102i | ||||
\(892\) | − | 36.0270i | − | 1.20627i | ||||||
\(893\) | − | 16.5413i | − | 0.553535i | ||||||
\(894\) | 12.3569 | + | 12.3569i | 0.413275 | + | 0.413275i | ||||
\(895\) | −26.2975 | − | 26.2975i | −0.879028 | − | 0.879028i | ||||
\(896\) | 29.1594 | − | 29.1594i | 0.974148 | − | 0.974148i | ||||
\(897\) | 8.56678 | 0.286037 | ||||||||
\(898\) | −2.15968 | + | 2.15968i | −0.0720693 | + | 0.0720693i | ||||
\(899\) | 6.28872i | 0.209741i | ||||||||
\(900\) | −56.2571 | −1.87524 | ||||||||
\(901\) | −51.3150 | − | 2.34813i | −1.70955 | − | 0.0782276i | ||||
\(902\) | −18.6959 | −0.622504 | ||||||||
\(903\) | − | 11.6825i | − | 0.388771i | ||||||
\(904\) | −15.4932 | + | 15.4932i | −0.515296 | + | 0.515296i | ||||
\(905\) | −32.3682 | −1.07596 | ||||||||
\(906\) | 17.7371 | − | 17.7371i | 0.589275 | − | 0.589275i | ||||
\(907\) | −14.5712 | − | 14.5712i | −0.483827 | − | 0.483827i | 0.422524 | − | 0.906352i | \(-0.361144\pi\) |
−0.906352 | + | 0.422524i | \(0.861144\pi\) | |||||||
\(908\) | 6.55285 | + | 6.55285i | 0.217464 | + | 0.217464i | ||||
\(909\) | 83.2809i | 2.76225i | ||||||||
\(910\) | 16.7469i | 0.555155i | ||||||||
\(911\) | −3.90158 | − | 3.90158i | −0.129265 | − | 0.129265i | 0.639514 | − | 0.768779i | \(-0.279136\pi\) |
−0.768779 | + | 0.639514i | \(0.779136\pi\) | |||||||
\(912\) | −38.1168 | − | 38.1168i | −1.26217 | − | 1.26217i | ||||
\(913\) | 4.30687 | − | 4.30687i | 0.142537 | − | 0.142537i | ||||
\(914\) | 11.1287 | 0.368106 | ||||||||
\(915\) | −32.5846 | + | 32.5846i | −1.07721 | + | 1.07721i | ||||
\(916\) | 3.55590i | 0.117490i | ||||||||
\(917\) | −12.5657 | −0.414957 | ||||||||
\(918\) | −8.00815 | − | 8.77619i | −0.264308 | − | 0.289657i | ||||
\(919\) | 21.8990 | 0.722380 | 0.361190 | − | 0.932492i | \(-0.382371\pi\) | ||||
0.361190 | + | 0.932492i | \(0.382371\pi\) | |||||||
\(920\) | − | 4.45124i | − | 0.146753i | ||||||
\(921\) | 17.1910 | − | 17.1910i | 0.566462 | − | 0.566462i | ||||
\(922\) | −12.7607 | −0.420252 | ||||||||
\(923\) | −12.9044 | + | 12.9044i | −0.424753 | + | 0.424753i | ||||
\(924\) | −98.9734 | − | 98.9734i | −3.25599 | − | 3.25599i | ||||
\(925\) | −6.04374 | − | 6.04374i | −0.198717 | − | 0.198717i | ||||
\(926\) | 13.4931i | 0.443409i | ||||||||
\(927\) | − | 62.8661i | − | 2.06479i | ||||||
\(928\) | −5.53617 | − | 5.53617i | −0.181734 | − | 0.181734i | ||||
\(929\) | 13.8275 | + | 13.8275i | 0.453665 | + | 0.453665i | 0.896569 | − | 0.442904i | \(-0.146052\pi\) |
−0.442904 | + | 0.896569i | \(0.646052\pi\) | |||||||
\(930\) | 9.05029 | − | 9.05029i | 0.296771 | − | 0.296771i | ||||
\(931\) | −54.2284 | −1.77726 | ||||||||
\(932\) | −37.9845 | + | 37.9845i | −1.24423 | + | 1.24423i | ||||
\(933\) | − | 35.1787i | − | 1.15170i | ||||||
\(934\) | −9.68400 | −0.316870 | ||||||||
\(935\) | −3.97728 | + | 86.9176i | −0.130071 | + | 2.84251i | ||||
\(936\) | −27.2115 | −0.889435 | ||||||||
\(937\) | 36.6330i | 1.19675i | 0.801217 | + | 0.598374i | \(0.204186\pi\) | ||||
−0.801217 | + | 0.598374i | \(0.795814\pi\) | |||||||
\(938\) | −1.57532 | + | 1.57532i | −0.0514362 | + | 0.0514362i | ||||
\(939\) | 46.0661 | 1.50331 | ||||||||
\(940\) | 11.6952 | − | 11.6952i | 0.381454 | − | 0.381454i | ||||
\(941\) | −9.41006 | − | 9.41006i | −0.306759 | − | 0.306759i | 0.536892 | − | 0.843651i | \(-0.319598\pi\) |
−0.843651 | + | 0.536892i | \(0.819598\pi\) | |||||||
\(942\) | −5.80807 | − | 5.80807i | −0.189237 | − | 0.189237i | ||||
\(943\) | 6.56884i | 0.213911i | ||||||||
\(944\) | 8.05664i | 0.262221i | ||||||||
\(945\) | −67.0892 | − | 67.0892i | −2.18241 | − | 2.18241i | ||||
\(946\) | 1.81586 | + | 1.81586i | 0.0590387 | + | 0.0590387i | ||||
\(947\) | −37.3481 | + | 37.3481i | −1.21365 | + | 1.21365i | −0.243834 | + | 0.969817i | \(0.578405\pi\) |
−0.969817 | + | 0.243834i | \(0.921595\pi\) | |||||||
\(948\) | 6.27583 | 0.203830 | ||||||||
\(949\) | 30.0077 | − | 30.0077i | 0.974090 | − | 0.974090i | ||||
\(950\) | − | 13.1275i | − | 0.425912i | ||||||
\(951\) | −35.6614 | −1.15640 | ||||||||
\(952\) | −16.9162 | − | 18.5386i | −0.548258 | − | 0.600839i | ||||
\(953\) | 37.1414 | 1.20313 | 0.601563 | − | 0.798825i | \(-0.294545\pi\) | ||||
0.601563 | + | 0.798825i | \(0.294545\pi\) | |||||||
\(954\) | 27.0842i | 0.876882i | ||||||||
\(955\) | −9.95499 | + | 9.95499i | −0.322136 | + | 0.322136i | ||||
\(956\) | 43.9095 | 1.42013 | ||||||||
\(957\) | −24.6311 | + | 24.6311i | −0.796210 | + | 0.796210i | ||||
\(958\) | −11.9772 | − | 11.9772i | −0.386965 | − | 0.386965i | ||||
\(959\) | 1.23127 | + | 1.23127i | 0.0397597 | + | 0.0397597i | ||||
\(960\) | − | 42.5303i | − | 1.37266i | ||||||
\(961\) | 19.3012i | 0.622619i | ||||||||
\(962\) | −1.40228 | − | 1.40228i | −0.0452114 | − | 0.0452114i | ||||
\(963\) | −1.38298 | − | 1.38298i | −0.0445659 | − | 0.0445659i | ||||
\(964\) | 15.4644 | − | 15.4644i | 0.498076 | − | 0.498076i | ||||
\(965\) | 26.0991 | 0.840159 | ||||||||
\(966\) | 2.94565 | − | 2.94565i | 0.0947748 | − | 0.0947748i | ||||
\(967\) | 38.6224i | 1.24201i | 0.783806 | + | 0.621006i | \(0.213276\pi\) | ||||
−0.783806 | + | 0.621006i | \(0.786724\pi\) | |||||||
\(968\) | 47.4315 | 1.52451 | ||||||||
\(969\) | −53.1792 | + | 48.5253i | −1.70836 | + | 1.55886i | ||||
\(970\) | −4.32890 | −0.138993 | ||||||||
\(971\) | 42.1948i | 1.35409i | 0.735940 | + | 0.677047i | \(0.236741\pi\) | ||||
−0.735940 | + | 0.677047i | \(0.763259\pi\) | |||||||
\(972\) | −10.4392 | + | 10.4392i | −0.334837 | + | 0.334837i | ||||
\(973\) | 55.1755 | 1.76884 | ||||||||
\(974\) | −3.16095 | + | 3.16095i | −0.101283 | + | 0.101283i | ||||
\(975\) | 37.2391 | + | 37.2391i | 1.19261 | + | 1.19261i | ||||
\(976\) | −10.6243 | − | 10.6243i | −0.340077 | − | 0.340077i | ||||
\(977\) | 46.5826i | 1.49031i | 0.666892 | + | 0.745154i | \(0.267624\pi\) | ||||
−0.666892 | + | 0.745154i | \(0.732376\pi\) | |||||||
\(978\) | − | 18.3856i | − | 0.587908i | ||||||
\(979\) | 59.0643 | + | 59.0643i | 1.88770 | + | 1.88770i | ||||
\(980\) | −38.3409 | − | 38.3409i | −1.22475 | − | 1.22475i | ||||
\(981\) | 17.7981 | − | 17.7981i | 0.568251 | − | 0.568251i | ||||
\(982\) | −1.67479 | −0.0534447 | ||||||||
\(983\) | −39.6812 | + | 39.6812i | −1.26563 | + | 1.26563i | −0.317314 | + | 0.948320i | \(0.602781\pi\) |
−0.948320 | + | 0.317314i | \(0.897219\pi\) | |||||||
\(984\) | − | 32.2447i | − | 1.02792i | ||||||
\(985\) | −49.2903 | −1.57052 | ||||||||
\(986\) | −2.21308 | + | 2.01940i | −0.0704788 | + | 0.0643109i | ||||
\(987\) | 32.2687 | 1.02713 | ||||||||
\(988\) | 35.9577i | 1.14397i | ||||||||
\(989\) | 0.638007 | − | 0.638007i | 0.0202874 | − | 0.0202874i | ||||
\(990\) | 45.8753 | 1.45801 | ||||||||
\(991\) | −26.0834 | + | 26.0834i | −0.828567 | + | 0.828567i | −0.987319 | − | 0.158751i | \(-0.949253\pi\) |
0.158751 | + | 0.987319i | \(0.449253\pi\) | |||||||
\(992\) | 10.2988 | + | 10.2988i | 0.326989 | + | 0.326989i | ||||
\(993\) | 16.6350 | + | 16.6350i | 0.527894 | + | 0.527894i | ||||
\(994\) | 8.87423i | 0.281474i | ||||||||
\(995\) | − | 68.4339i | − | 2.16950i | ||||||
\(996\) | 3.56312 | + | 3.56312i | 0.112902 | + | 0.112902i | ||||
\(997\) | 21.0916 | + | 21.0916i | 0.667978 | + | 0.667978i | 0.957248 | − | 0.289270i | \(-0.0934125\pi\) |
−0.289270 | + | 0.957248i | \(0.593413\pi\) | |||||||
\(998\) | 5.64759 | − | 5.64759i | 0.178771 | − | 0.178771i | ||||
\(999\) | 11.2353 | 0.355468 |
(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 | 731.2.f.c.259.15 | ✓ | 56 | |
17.13 | even | 4 | inner | 731.2.f.c.302.14 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.f.c.259.15 | ✓ | 56 | 1.1 | even | 1 | trivial | |
731.2.f.c.302.14 | yes | 56 | 17.13 | even | 4 | inner |