Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(11,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 0, 23]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.br (of order \(30\), degree \(8\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 11.8 | ||
Character | \(\chi\) | \(=\) | 930.11 |
Dual form | 930.2.br.a.761.8 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{23}{30}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.951057 | + | 0.309017i | −0.672499 | + | 0.218508i | ||||
\(3\) | 0.991446 | − | 1.42022i | 0.572411 | − | 0.819967i | ||||
\(4\) | 0.809017 | − | 0.587785i | 0.404508 | − | 0.293893i | ||||
\(5\) | 0.866025 | − | 0.500000i | 0.387298 | − | 0.223607i | ||||
\(6\) | −0.504048 | + | 1.65709i | −0.205777 | + | 0.676503i | ||||
\(7\) | −0.310184 | − | 2.95121i | −0.117239 | − | 1.11545i | −0.882037 | − | 0.471181i | \(-0.843828\pi\) |
0.764798 | − | 0.644270i | \(-0.222839\pi\) | |||||||
\(8\) | −0.587785 | + | 0.809017i | −0.207813 | + | 0.286031i | ||||
\(9\) | −1.03407 | − | 2.81615i | −0.344690 | − | 0.938716i | ||||
\(10\) | −0.669131 | + | 0.743145i | −0.211598 | + | 0.235003i | ||||
\(11\) | 5.85567 | + | 2.60711i | 1.76555 | + | 0.786074i | 0.987449 | + | 0.157937i | \(0.0504844\pi\) |
0.778103 | + | 0.628137i | \(0.216182\pi\) | |||||||
\(12\) | −0.0326902 | − | 1.73174i | −0.00943683 | − | 0.499911i | ||||
\(13\) | −0.0533559 | − | 0.251020i | −0.0147983 | − | 0.0696203i | 0.970129 | − | 0.242590i | \(-0.0779970\pi\) |
−0.984927 | + | 0.172970i | \(0.944664\pi\) | |||||||
\(14\) | 1.20698 | + | 2.71091i | 0.322578 | + | 0.724521i | ||||
\(15\) | 0.148505 | − | 1.72567i | 0.0383439 | − | 0.445567i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | 0.128731 | − | 0.0573147i | 0.0312219 | − | 0.0139009i | −0.391066 | − | 0.920362i | \(-0.627894\pi\) |
0.422288 | + | 0.906462i | \(0.361227\pi\) | |||||||
\(18\) | 1.85370 | + | 2.35877i | 0.436921 | + | 0.555968i | ||||
\(19\) | 3.33397 | + | 0.708656i | 0.764864 | + | 0.162577i | 0.573794 | − | 0.819000i | \(-0.305471\pi\) |
0.191070 | + | 0.981576i | \(0.438804\pi\) | |||||||
\(20\) | 0.406737 | − | 0.913545i | 0.0909491 | − | 0.204275i | ||||
\(21\) | −4.49890 | − | 2.48543i | −0.981741 | − | 0.542365i | ||||
\(22\) | −6.37472 | − | 0.670010i | −1.35909 | − | 0.142847i | ||||
\(23\) | 0.218421 | + | 0.158692i | 0.0455438 | + | 0.0330895i | 0.610324 | − | 0.792152i | \(-0.291039\pi\) |
−0.564780 | + | 0.825241i | \(0.691039\pi\) | |||||||
\(24\) | 0.566228 | + | 1.63688i | 0.115581 | + | 0.334127i | ||||
\(25\) | 0.500000 | − | 0.866025i | 0.100000 | − | 0.173205i | ||||
\(26\) | 0.128314 | + | 0.222246i | 0.0251644 | + | 0.0435860i | ||||
\(27\) | −5.02479 | − | 1.32345i | −0.967021 | − | 0.254698i | ||||
\(28\) | −1.98562 | − | 2.20525i | −0.375247 | − | 0.416754i | ||||
\(29\) | −1.06871 | − | 3.28916i | −0.198455 | − | 0.610782i | −0.999919 | − | 0.0127384i | \(-0.995945\pi\) |
0.801464 | − | 0.598043i | \(-0.204055\pi\) | |||||||
\(30\) | 0.392025 | + | 1.68710i | 0.0715737 | + | 0.308021i | ||||
\(31\) | 5.50287 | + | 0.847624i | 0.988344 | + | 0.152238i | ||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | 9.50827 | − | 5.73155i | 1.65518 | − | 0.997736i | ||||
\(34\) | −0.104719 | + | 0.0942896i | −0.0179592 | + | 0.0161705i | ||||
\(35\) | −1.74423 | − | 2.40073i | −0.294829 | − | 0.405797i | ||||
\(36\) | −2.49187 | − | 1.67050i | −0.415312 | − | 0.278417i | ||||
\(37\) | −2.58554 | − | 1.49276i | −0.425060 | − | 0.245409i | 0.272180 | − | 0.962246i | \(-0.412256\pi\) |
−0.697240 | + | 0.716838i | \(0.745589\pi\) | |||||||
\(38\) | −3.38978 | + | 0.356280i | −0.549894 | + | 0.0577962i | ||||
\(39\) | −0.409403 | − | 0.173095i | −0.0655570 | − | 0.0277174i | ||||
\(40\) | −0.104528 | + | 0.994522i | −0.0165274 | + | 0.157248i | ||||
\(41\) | −4.27156 | − | 3.84613i | −0.667105 | − | 0.600664i | 0.264391 | − | 0.964416i | \(-0.414829\pi\) |
−0.931496 | + | 0.363752i | \(0.881496\pi\) | |||||||
\(42\) | 5.04675 | + | 0.973546i | 0.778730 | + | 0.150221i | ||||
\(43\) | −0.105304 | + | 0.495415i | −0.0160587 | + | 0.0755501i | −0.985447 | − | 0.169982i | \(-0.945629\pi\) |
0.969389 | + | 0.245532i | \(0.0789625\pi\) | |||||||
\(44\) | 6.26976 | − | 1.33268i | 0.945202 | − | 0.200909i | ||||
\(45\) | −2.30361 | − | 1.92182i | −0.343401 | − | 0.286488i | ||||
\(46\) | −0.256769 | − | 0.0834292i | −0.0378585 | − | 0.0123010i | ||||
\(47\) | −11.6458 | − | 3.78394i | −1.69871 | − | 0.551944i | −0.710318 | − | 0.703881i | \(-0.751449\pi\) |
−0.988390 | + | 0.151937i | \(0.951449\pi\) | |||||||
\(48\) | −1.04434 | − | 1.38179i | −0.150737 | − | 0.199445i | ||||
\(49\) | −1.76636 | + | 0.375452i | −0.252338 | + | 0.0536361i | ||||
\(50\) | −0.207912 | + | 0.978148i | −0.0294032 | + | 0.138331i | ||||
\(51\) | 0.0462300 | − | 0.239651i | 0.00647350 | − | 0.0335579i | ||||
\(52\) | −0.190711 | − | 0.171717i | −0.0264469 | − | 0.0238129i | ||||
\(53\) | −0.682747 | + | 6.49590i | −0.0937825 | + | 0.892281i | 0.841946 | + | 0.539561i | \(0.181410\pi\) |
−0.935729 | + | 0.352720i | \(0.885257\pi\) | |||||||
\(54\) | 5.18782 | − | 0.294072i | 0.705973 | − | 0.0400181i | ||||
\(55\) | 6.37472 | − | 0.670010i | 0.859567 | − | 0.0903441i | ||||
\(56\) | 2.56990 | + | 1.48373i | 0.343417 | + | 0.198272i | ||||
\(57\) | 4.31190 | − | 4.03238i | 0.571125 | − | 0.534102i | ||||
\(58\) | 2.03281 | + | 2.79793i | 0.266921 | + | 0.367386i | ||||
\(59\) | −1.28184 | + | 1.15417i | −0.166881 | + | 0.150260i | −0.748340 | − | 0.663315i | \(-0.769149\pi\) |
0.581459 | + | 0.813576i | \(0.302482\pi\) | |||||||
\(60\) | −0.894182 | − | 1.48339i | −0.115438 | − | 0.191505i | ||||
\(61\) | 10.3488i | 1.32503i | 0.749048 | + | 0.662516i | \(0.230511\pi\) | ||||
−0.749048 | + | 0.662516i | \(0.769489\pi\) | |||||||
\(62\) | −5.49547 | + | 0.894340i | −0.697925 | + | 0.113581i | ||||
\(63\) | −7.99028 | + | 3.92528i | −1.00668 | + | 0.494539i | ||||
\(64\) | −0.309017 | − | 0.951057i | −0.0386271 | − | 0.118882i | ||||
\(65\) | −0.171717 | − | 0.190711i | −0.0212989 | − | 0.0236548i | ||||
\(66\) | −7.27175 | + | 8.38925i | −0.895091 | + | 1.03265i | ||||
\(67\) | 2.56939 | + | 4.45032i | 0.313901 | + | 0.543693i | 0.979203 | − | 0.202881i | \(-0.0650305\pi\) |
−0.665302 | + | 0.746574i | \(0.731697\pi\) | |||||||
\(68\) | 0.0704568 | − | 0.122035i | 0.00854414 | − | 0.0147989i | ||||
\(69\) | 0.441930 | − | 0.152872i | 0.0532021 | − | 0.0184036i | ||||
\(70\) | 2.40073 | + | 1.74423i | 0.286942 | + | 0.208475i | ||||
\(71\) | −3.18552 | − | 0.334811i | −0.378051 | − | 0.0397348i | −0.0864026 | − | 0.996260i | \(-0.527537\pi\) |
−0.291649 | + | 0.956526i | \(0.594204\pi\) | |||||||
\(72\) | 2.88612 | + | 0.818710i | 0.340133 | + | 0.0964859i | ||||
\(73\) | 2.49424 | − | 5.60216i | 0.291929 | − | 0.655683i | −0.706729 | − | 0.707485i | \(-0.749830\pi\) |
0.998657 | + | 0.0518019i | \(0.0164964\pi\) | |||||||
\(74\) | 2.92029 | + | 0.620726i | 0.339476 | + | 0.0721579i | ||||
\(75\) | −0.734227 | − | 1.56873i | −0.0847812 | − | 0.181141i | ||||
\(76\) | 3.11377 | − | 1.38634i | 0.357174 | − | 0.159024i | ||||
\(77\) | 5.87779 | − | 18.0900i | 0.669836 | − | 2.06154i | ||||
\(78\) | 0.442855 | + | 0.0381105i | 0.0501435 | + | 0.00431517i | ||||
\(79\) | −6.36960 | − | 14.3063i | −0.716636 | − | 1.60959i | −0.790603 | − | 0.612329i | \(-0.790233\pi\) |
0.0739674 | − | 0.997261i | \(-0.476434\pi\) | |||||||
\(80\) | −0.207912 | − | 0.978148i | −0.0232452 | − | 0.109360i | ||||
\(81\) | −6.86139 | + | 5.82420i | −0.762377 | + | 0.647133i | ||||
\(82\) | 5.25101 | + | 2.33790i | 0.579877 | + | 0.258178i | ||||
\(83\) | −3.61823 | + | 4.01845i | −0.397152 | + | 0.441082i | −0.908242 | − | 0.418445i | \(-0.862575\pi\) |
0.511090 | + | 0.859527i | \(0.329242\pi\) | |||||||
\(84\) | −5.10059 | + | 0.633634i | −0.556520 | + | 0.0691352i | ||||
\(85\) | 0.0828269 | − | 0.114002i | 0.00898384 | − | 0.0123652i | ||||
\(86\) | −0.0529419 | − | 0.503709i | −0.00570887 | − | 0.0543163i | ||||
\(87\) | −5.73091 | − | 1.74321i | −0.614418 | − | 0.186892i | ||||
\(88\) | −5.55108 | + | 3.20492i | −0.591747 | + | 0.341645i | ||||
\(89\) | 6.43221 | − | 4.67328i | 0.681813 | − | 0.495366i | −0.192146 | − | 0.981366i | \(-0.561545\pi\) |
0.873959 | + | 0.486000i | \(0.161545\pi\) | |||||||
\(90\) | 2.78474 | + | 1.11591i | 0.293537 | + | 0.117627i | ||||
\(91\) | −0.724260 | + | 0.235326i | −0.0759231 | + | 0.0246689i | ||||
\(92\) | 0.269983 | 0.0281476 | ||||||||
\(93\) | 6.65961 | − | 6.97493i | 0.690569 | − | 0.723266i | ||||
\(94\) | 12.2451 | 1.26298 | ||||||||
\(95\) | 3.24163 | − | 1.05327i | 0.332584 | − | 0.108063i | ||||
\(96\) | 1.42022 | + | 0.991446i | 0.144951 | + | 0.101189i | ||||
\(97\) | 3.37411 | − | 2.45144i | 0.342589 | − | 0.248906i | −0.403164 | − | 0.915128i | \(-0.632090\pi\) |
0.745754 | + | 0.666222i | \(0.232090\pi\) | |||||||
\(98\) | 1.56389 | − | 0.902913i | 0.157977 | − | 0.0912080i | ||||
\(99\) | 1.28684 | − | 19.1864i | 0.129332 | − | 1.92830i | ||||
\(100\) | −0.104528 | − | 0.994522i | −0.0104528 | − | 0.0994522i | ||||
\(101\) | 0.233398 | − | 0.321245i | 0.0232240 | − | 0.0319651i | −0.797247 | − | 0.603653i | \(-0.793711\pi\) |
0.820471 | + | 0.571688i | \(0.193711\pi\) | |||||||
\(102\) | 0.0300889 | + | 0.242208i | 0.00297925 | + | 0.0239821i | ||||
\(103\) | −6.85604 | + | 7.61441i | −0.675546 | + | 0.750270i | −0.979285 | − | 0.202485i | \(-0.935098\pi\) |
0.303739 | + | 0.952755i | \(0.401765\pi\) | |||||||
\(104\) | 0.234441 | + | 0.104380i | 0.0229888 | + | 0.0102353i | ||||
\(105\) | −5.13888 | + | 0.0970068i | −0.501503 | + | 0.00946689i | ||||
\(106\) | −1.35801 | − | 6.38895i | −0.131902 | − | 0.620550i | ||||
\(107\) | −0.978911 | − | 2.19867i | −0.0946349 | − | 0.212553i | 0.860025 | − | 0.510252i | \(-0.170448\pi\) |
−0.954660 | + | 0.297698i | \(0.903781\pi\) | |||||||
\(108\) | −4.84304 | + | 1.88280i | −0.466022 | + | 0.181173i | ||||
\(109\) | −4.84728 | + | 14.9184i | −0.464285 | + | 1.42892i | 0.395595 | + | 0.918425i | \(0.370539\pi\) |
−0.859880 | + | 0.510497i | \(0.829461\pi\) | |||||||
\(110\) | −5.85567 | + | 2.60711i | −0.558317 | + | 0.248579i | ||||
\(111\) | −4.68348 | + | 2.19205i | −0.444536 | + | 0.208061i | ||||
\(112\) | −2.90262 | − | 0.616970i | −0.274271 | − | 0.0582982i | ||||
\(113\) | 3.09800 | − | 6.95822i | 0.291435 | − | 0.654574i | −0.707188 | − | 0.707025i | \(-0.750037\pi\) |
0.998623 | + | 0.0524512i | \(0.0167034\pi\) | |||||||
\(114\) | −2.85478 | + | 5.16747i | −0.267375 | + | 0.483978i | ||||
\(115\) | 0.268504 | + | 0.0282209i | 0.0250381 | + | 0.00263161i | ||||
\(116\) | −2.79793 | − | 2.03281i | −0.259781 | − | 0.188742i | ||||
\(117\) | −0.651735 | + | 0.409830i | −0.0602529 | + | 0.0378888i | ||||
\(118\) | 0.862441 | − | 1.49379i | 0.0793941 | − | 0.137515i | ||||
\(119\) | −0.209078 | − | 0.362133i | −0.0191661 | − | 0.0331967i | ||||
\(120\) | 1.30881 | + | 1.13447i | 0.119477 | + | 0.103562i | ||||
\(121\) | 20.1314 | + | 22.3582i | 1.83013 | + | 2.03257i | ||||
\(122\) | −3.19797 | − | 9.84233i | −0.289530 | − | 0.891082i | ||||
\(123\) | −9.69738 | + | 2.25334i | −0.874383 | + | 0.203177i | ||||
\(124\) | 4.95013 | − | 2.54876i | 0.444535 | − | 0.228885i | ||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | 6.38623 | − | 6.20230i | 0.568931 | − | 0.552544i | ||||
\(127\) | 14.5990 | − | 13.1450i | 1.29545 | − | 1.16643i | 0.319710 | − | 0.947515i | \(-0.396415\pi\) |
0.975744 | − | 0.218916i | \(-0.0702521\pi\) | |||||||
\(128\) | 0.587785 | + | 0.809017i | 0.0519534 | + | 0.0715077i | ||||
\(129\) | 0.599198 | + | 0.640732i | 0.0527564 | + | 0.0564133i | ||||
\(130\) | 0.222246 | + | 0.128314i | 0.0194923 | + | 0.0112539i | ||||
\(131\) | 10.6941 | − | 1.12399i | 0.934345 | − | 0.0982036i | 0.374895 | − | 0.927067i | \(-0.377679\pi\) |
0.559450 | + | 0.828864i | \(0.311012\pi\) | |||||||
\(132\) | 4.32343 | − | 10.2257i | 0.376306 | − | 0.890037i | ||||
\(133\) | 1.05725 | − | 10.0590i | 0.0916749 | − | 0.872229i | ||||
\(134\) | −3.81886 | − | 3.43852i | −0.329900 | − | 0.297043i | ||||
\(135\) | −5.01332 | + | 1.36625i | −0.431478 | + | 0.117588i | ||||
\(136\) | −0.0292976 | + | 0.137834i | −0.00251225 | + | 0.0118192i | ||||
\(137\) | 20.8872 | − | 4.43972i | 1.78452 | − | 0.379311i | 0.807064 | − | 0.590464i | \(-0.201055\pi\) |
0.977453 | + | 0.211153i | \(0.0677218\pi\) | |||||||
\(138\) | −0.373061 | + | 0.281954i | −0.0317570 | + | 0.0240015i | ||||
\(139\) | −9.92018 | − | 3.22326i | −0.841419 | − | 0.273394i | −0.143571 | − | 0.989640i | \(-0.545859\pi\) |
−0.697847 | + | 0.716246i | \(0.745859\pi\) | |||||||
\(140\) | −2.82222 | − | 0.916996i | −0.238521 | − | 0.0775003i | ||||
\(141\) | −16.9202 | + | 12.7880i | −1.42494 | + | 1.07695i | ||||
\(142\) | 3.13307 | − | 0.665954i | 0.262921 | − | 0.0558857i | ||||
\(143\) | 0.342002 | − | 1.60899i | 0.0285997 | − | 0.134551i | ||||
\(144\) | −2.99786 | + | 0.113222i | −0.249822 | + | 0.00943515i | ||||
\(145\) | −2.57011 | − | 2.31414i | −0.213436 | − | 0.192179i | ||||
\(146\) | −0.641003 | + | 6.09873i | −0.0530497 | + | 0.504735i | ||||
\(147\) | −1.21803 | + | 2.88087i | −0.100461 | + | 0.237610i | ||||
\(148\) | −2.96917 | + | 0.312073i | −0.244064 | + | 0.0256522i | ||||
\(149\) | 2.88082 | + | 1.66324i | 0.236006 | + | 0.136258i | 0.613340 | − | 0.789819i | \(-0.289826\pi\) |
−0.377334 | + | 0.926077i | \(0.623159\pi\) | |||||||
\(150\) | 1.18306 | + | 1.26506i | 0.0965961 | + | 0.103292i | ||||
\(151\) | 3.20473 | + | 4.41093i | 0.260797 | + | 0.358956i | 0.919256 | − | 0.393660i | \(-0.128791\pi\) |
−0.658459 | + | 0.752617i | \(0.728791\pi\) | |||||||
\(152\) | −2.53297 | + | 2.28070i | −0.205451 | + | 0.184989i | ||||
\(153\) | −0.294524 | − | 0.303258i | −0.0238108 | − | 0.0245170i | ||||
\(154\) | 19.0209i | 1.53275i | ||||||||
\(155\) | 5.18943 | − | 2.01737i | 0.416825 | − | 0.162039i | ||||
\(156\) | −0.432957 | + | 0.100604i | −0.0346643 | + | 0.00805480i | ||||
\(157\) | 3.42703 | + | 10.5473i | 0.273507 | + | 0.841767i | 0.989611 | + | 0.143773i | \(0.0459236\pi\) |
−0.716104 | + | 0.697994i | \(0.754076\pi\) | |||||||
\(158\) | 10.4788 | + | 11.6378i | 0.833645 | + | 0.925856i | ||||
\(159\) | 8.54873 | + | 7.40999i | 0.677958 | + | 0.587650i | ||||
\(160\) | 0.500000 | + | 0.866025i | 0.0395285 | + | 0.0684653i | ||||
\(161\) | 0.400582 | − | 0.693828i | 0.0315703 | − | 0.0546813i | ||||
\(162\) | 4.72580 | − | 7.65943i | 0.371294 | − | 0.601781i | ||||
\(163\) | −9.88759 | − | 7.18376i | −0.774456 | − | 0.562675i | 0.128854 | − | 0.991664i | \(-0.458870\pi\) |
−0.903310 | + | 0.428988i | \(0.858870\pi\) | |||||||
\(164\) | −5.71646 | − | 0.600824i | −0.446380 | − | 0.0469165i | ||||
\(165\) | 5.36862 | − | 9.71780i | 0.417947 | − | 0.756530i | ||||
\(166\) | 2.19937 | − | 4.93987i | 0.170704 | − | 0.383408i | ||||
\(167\) | −10.1755 | − | 2.16287i | −0.787403 | − | 0.167368i | −0.203375 | − | 0.979101i | \(-0.565191\pi\) |
−0.584028 | + | 0.811733i | \(0.698524\pi\) | |||||||
\(168\) | 4.65514 | − | 2.17879i | 0.359152 | − | 0.168097i | ||||
\(169\) | 11.8159 | − | 5.26079i | 0.908917 | − | 0.404676i | ||||
\(170\) | −0.0435447 | + | 0.134017i | −0.00333973 | + | 0.0102786i | ||||
\(171\) | −1.45187 | − | 10.1217i | −0.111028 | − | 0.774029i | ||||
\(172\) | 0.206005 | + | 0.462695i | 0.0157078 | + | 0.0352802i | ||||
\(173\) | 4.65615 | + | 21.9055i | 0.354001 | + | 1.66544i | 0.690175 | + | 0.723643i | \(0.257534\pi\) |
−0.336174 | + | 0.941800i | \(0.609133\pi\) | |||||||
\(174\) | 5.98910 | − | 0.113057i | 0.454033 | − | 0.00857079i | ||||
\(175\) | −2.71091 | − | 1.20698i | −0.204926 | − | 0.0912388i | ||||
\(176\) | 4.28901 | − | 4.76343i | 0.323297 | − | 0.359057i | ||||
\(177\) | 0.368309 | + | 2.96479i | 0.0276838 | + | 0.222847i | ||||
\(178\) | −4.67328 | + | 6.43221i | −0.350277 | + | 0.482115i | ||||
\(179\) | 2.45758 | + | 23.3823i | 0.183688 | + | 1.74767i | 0.566694 | + | 0.823928i | \(0.308222\pi\) |
−0.383006 | + | 0.923746i | \(0.625111\pi\) | |||||||
\(180\) | −2.99328 | − | 0.200760i | −0.223106 | − | 0.0149638i | ||||
\(181\) | 3.88655 | − | 2.24390i | 0.288885 | − | 0.166788i | −0.348554 | − | 0.937289i | \(-0.613327\pi\) |
0.637439 | + | 0.770501i | \(0.279994\pi\) | |||||||
\(182\) | 0.616093 | − | 0.447617i | 0.0456678 | − | 0.0331796i | ||||
\(183\) | 14.6977 | + | 10.2603i | 1.08648 | + | 0.758464i | ||||
\(184\) | −0.256769 | + | 0.0834292i | −0.0189292 | + | 0.00615049i | ||||
\(185\) | −2.98553 | −0.219500 | ||||||||
\(186\) | −4.17829 | + | 8.69148i | −0.306367 | + | 0.637290i | ||||
\(187\) | 0.903233 | 0.0660509 | ||||||||
\(188\) | −11.6458 | + | 3.78394i | −0.849354 | + | 0.275972i | ||||
\(189\) | −2.34715 | + | 15.2397i | −0.170730 | + | 1.10852i | ||||
\(190\) | −2.75749 | + | 2.00344i | −0.200050 | + | 0.145345i | ||||
\(191\) | −14.1596 | + | 8.17505i | −1.02455 | + | 0.591526i | −0.915419 | − | 0.402501i | \(-0.868141\pi\) |
−0.109133 | + | 0.994027i | \(0.534808\pi\) | |||||||
\(192\) | −1.65709 | − | 0.504048i | −0.119590 | − | 0.0363765i | ||||
\(193\) | 1.27720 | + | 12.1518i | 0.0919351 | + | 0.874704i | 0.939162 | + | 0.343473i | \(0.111604\pi\) |
−0.847227 | + | 0.531231i | \(0.821730\pi\) | |||||||
\(194\) | −2.45144 | + | 3.37411i | −0.176003 | + | 0.242247i | ||||
\(195\) | −0.441101 | + | 0.0547970i | −0.0315879 | + | 0.00392410i | ||||
\(196\) | −1.20833 | + | 1.34199i | −0.0863095 | + | 0.0958565i | ||||
\(197\) | −20.3188 | − | 9.04653i | −1.44766 | − | 0.644539i | −0.475681 | − | 0.879618i | \(-0.657798\pi\) |
−0.971976 | + | 0.235079i | \(0.924465\pi\) | |||||||
\(198\) | 4.70506 | + | 18.6450i | 0.334374 | + | 1.32504i | ||||
\(199\) | 3.98258 | + | 18.7366i | 0.282318 | + | 1.32820i | 0.859312 | + | 0.511452i | \(0.170892\pi\) |
−0.576994 | + | 0.816748i | \(0.695775\pi\) | |||||||
\(200\) | 0.406737 | + | 0.913545i | 0.0287606 | + | 0.0645974i | ||||
\(201\) | 8.86787 | + | 0.763137i | 0.625491 | + | 0.0538275i | ||||
\(202\) | −0.122705 | + | 0.377646i | −0.00863347 | + | 0.0265711i | ||||
\(203\) | −9.37549 | + | 4.17424i | −0.658030 | + | 0.292974i | ||||
\(204\) | −0.103463 | − | 0.221055i | −0.00724383 | − | 0.0154770i | ||||
\(205\) | −5.62234 | − | 1.19507i | −0.392681 | − | 0.0834670i | ||||
\(206\) | 4.16750 | − | 9.36037i | 0.290364 | − | 0.652168i | ||||
\(207\) | 0.221038 | − | 0.779204i | 0.0153632 | − | 0.0541584i | ||||
\(208\) | −0.255222 | − | 0.0268249i | −0.0176964 | − | 0.00185997i | ||||
\(209\) | 17.6751 | + | 12.8417i | 1.22261 | + | 0.888278i | ||||
\(210\) | 4.85739 | − | 1.68026i | 0.335192 | − | 0.115949i | ||||
\(211\) | −13.2921 | + | 23.0226i | −0.915067 | + | 1.58494i | −0.108264 | + | 0.994122i | \(0.534529\pi\) |
−0.806803 | + | 0.590820i | \(0.798804\pi\) | |||||||
\(212\) | 3.26584 | + | 5.65660i | 0.224299 | + | 0.388497i | ||||
\(213\) | −3.63377 | + | 4.19220i | −0.248982 | + | 0.287245i | ||||
\(214\) | 1.61043 | + | 1.78856i | 0.110086 | + | 0.122263i | ||||
\(215\) | 0.156512 | + | 0.481694i | 0.0106740 | + | 0.0328513i | ||||
\(216\) | 4.02419 | − | 3.28724i | 0.273811 | − | 0.223668i | ||||
\(217\) | 0.794612 | − | 16.5030i | 0.0539417 | − | 1.12030i | ||||
\(218\) | − | 15.6861i | − | 1.06240i | ||||||
\(219\) | −5.48341 | − | 9.09662i | −0.370535 | − | 0.614692i | ||||
\(220\) | 4.76343 | − | 4.28901i | 0.321151 | − | 0.289165i | ||||
\(221\) | −0.0212557 | − | 0.0292559i | −0.00142981 | − | 0.00196797i | ||||
\(222\) | 3.77687 | − | 3.53204i | 0.253487 | − | 0.237055i | ||||
\(223\) | 20.4355 | + | 11.7985i | 1.36847 | + | 0.790084i | 0.990732 | − | 0.135831i | \(-0.0433703\pi\) |
0.377733 | + | 0.925914i | \(0.376704\pi\) | |||||||
\(224\) | 2.95121 | − | 0.310184i | 0.197186 | − | 0.0207251i | ||||
\(225\) | −2.95589 | − | 0.512543i | −0.197059 | − | 0.0341695i | ||||
\(226\) | −0.796164 | + | 7.57499i | −0.0529600 | + | 0.503881i | ||||
\(227\) | −12.1905 | − | 10.9763i | −0.809110 | − | 0.728526i | 0.156737 | − | 0.987640i | \(-0.449903\pi\) |
−0.965847 | + | 0.259115i | \(0.916569\pi\) | |||||||
\(228\) | 1.11822 | − | 5.79674i | 0.0740561 | − | 0.383898i | ||||
\(229\) | 0.658256 | − | 3.09685i | 0.0434988 | − | 0.204646i | −0.951032 | − | 0.309094i | \(-0.899974\pi\) |
0.994530 | + | 0.104448i | \(0.0333076\pi\) | |||||||
\(230\) | −0.264083 | + | 0.0561326i | −0.0174131 | + | 0.00370127i | ||||
\(231\) | −19.8643 | − | 26.2830i | −1.30698 | − | 1.72929i | ||||
\(232\) | 3.28916 | + | 1.06871i | 0.215944 | + | 0.0701644i | ||||
\(233\) | 3.93413 | + | 1.27828i | 0.257733 | + | 0.0837426i | 0.435034 | − | 0.900414i | \(-0.356736\pi\) |
−0.177300 | + | 0.984157i | \(0.556736\pi\) | |||||||
\(234\) | 0.493192 | − | 0.591169i | 0.0322410 | − | 0.0386459i | ||||
\(235\) | −11.9775 | + | 2.54589i | −0.781325 | + | 0.166076i | ||||
\(236\) | −0.358623 | + | 1.68719i | −0.0233444 | + | 0.109827i | ||||
\(237\) | −26.6333 | − | 5.13771i | −1.73002 | − | 0.333730i | ||||
\(238\) | 0.310750 | + | 0.279801i | 0.0201429 | + | 0.0181368i | ||||
\(239\) | −0.873628 | + | 8.31201i | −0.0565103 | + | 0.537659i | 0.929244 | + | 0.369467i | \(0.120460\pi\) |
−0.985754 | + | 0.168192i | \(0.946207\pi\) | |||||||
\(240\) | −1.59532 | − | 0.674499i | −0.102978 | − | 0.0435387i | ||||
\(241\) | −10.5496 | + | 1.10881i | −0.679559 | + | 0.0714245i | −0.438018 | − | 0.898966i | \(-0.644319\pi\) |
−0.241541 | + | 0.970391i | \(0.577653\pi\) | |||||||
\(242\) | −26.0552 | − | 15.0430i | −1.67489 | − | 0.966999i | ||||
\(243\) | 1.46896 | + | 15.5191i | 0.0942339 | + | 0.995550i | ||||
\(244\) | 6.08289 | + | 8.37238i | 0.389417 | + | 0.535987i | ||||
\(245\) | −1.34199 | + | 1.20833i | −0.0857366 | + | 0.0771976i | ||||
\(246\) | 8.52643 | − | 5.13971i | 0.543625 | − | 0.327696i | ||||
\(247\) | − | 0.874702i | − | 0.0556559i | ||||||
\(248\) | −3.92025 | + | 3.95369i | −0.248936 | + | 0.251060i | ||||
\(249\) | 2.11982 | + | 9.12277i | 0.134338 | + | 0.578132i | ||||
\(250\) | 0.309017 | + | 0.951057i | 0.0195440 | + | 0.0601501i | ||||
\(251\) | 4.56472 | + | 5.06964i | 0.288123 | + | 0.319993i | 0.869779 | − | 0.493442i | \(-0.164262\pi\) |
−0.581656 | + | 0.813435i | \(0.697595\pi\) | |||||||
\(252\) | −4.15705 | + | 7.87219i | −0.261870 | + | 0.495901i | ||||
\(253\) | 0.865272 | + | 1.49869i | 0.0543992 | + | 0.0942221i | ||||
\(254\) | −9.82246 | + | 17.0130i | −0.616316 | + | 1.06749i | ||||
\(255\) | −0.0797892 | − | 0.230659i | −0.00499660 | − | 0.0144444i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | −8.43770 | − | 0.886838i | −0.526330 | − | 0.0553195i | −0.162362 | − | 0.986731i | \(-0.551911\pi\) |
−0.363967 | + | 0.931412i | \(0.618578\pi\) | |||||||
\(258\) | −0.767868 | − | 0.424210i | −0.0478054 | − | 0.0264102i | ||||
\(259\) | −3.60346 | + | 8.09350i | −0.223908 | + | 0.502905i | ||||
\(260\) | −0.251020 | − | 0.0533559i | −0.0155676 | − | 0.00330899i | ||||
\(261\) | −8.15764 | + | 6.41088i | −0.504945 | + | 0.396823i | ||||
\(262\) | −9.82333 | + | 4.37363i | −0.606887 | + | 0.270204i | ||||
\(263\) | 6.72004 | − | 20.6822i | 0.414376 | − | 1.27532i | −0.498433 | − | 0.866928i | \(-0.666091\pi\) |
0.912808 | − | 0.408388i | \(-0.133909\pi\) | |||||||
\(264\) | −0.951894 | + | 11.0613i | −0.0585850 | + | 0.680774i | ||||
\(265\) | 2.65668 | + | 5.96699i | 0.163198 | + | 0.366549i | ||||
\(266\) | 2.10291 | + | 9.89341i | 0.128938 | + | 0.606604i | ||||
\(267\) | −0.259908 | − | 13.7685i | −0.0159061 | − | 0.842617i | ||||
\(268\) | 4.69452 | + | 2.09013i | 0.286763 | + | 0.127675i | ||||
\(269\) | −2.54091 | + | 2.82197i | −0.154922 | + | 0.172059i | −0.815610 | − | 0.578603i | \(-0.803598\pi\) |
0.660687 | + | 0.750661i | \(0.270265\pi\) | |||||||
\(270\) | 4.34575 | − | 2.84859i | 0.264474 | − | 0.173359i | ||||
\(271\) | 2.67624 | − | 3.68353i | 0.162570 | − | 0.223759i | −0.719959 | − | 0.694017i | \(-0.755839\pi\) |
0.882529 | + | 0.470258i | \(0.155839\pi\) | |||||||
\(272\) | −0.0147295 | − | 0.140142i | −0.000893106 | − | 0.00849734i | ||||
\(273\) | −0.383849 | + | 1.26192i | −0.0232316 | + | 0.0763752i | ||||
\(274\) | −18.4930 | + | 10.6769i | −1.11720 | + | 0.645017i | ||||
\(275\) | 5.18566 | − | 3.76760i | 0.312707 | − | 0.227195i | ||||
\(276\) | 0.267673 | − | 0.383436i | 0.0161120 | − | 0.0230801i | ||||
\(277\) | −8.83358 | + | 2.87020i | −0.530758 | + | 0.172454i | −0.562122 | − | 0.827054i | \(-0.690015\pi\) |
0.0313639 | + | 0.999508i | \(0.490015\pi\) | |||||||
\(278\) | 10.4307 | 0.625592 | ||||||||
\(279\) | −3.30332 | − | 16.3734i | −0.197764 | − | 0.980250i | ||||
\(280\) | 2.96746 | 0.177340 | ||||||||
\(281\) | 20.0881 | − | 6.52702i | 1.19836 | − | 0.389369i | 0.359200 | − | 0.933261i | \(-0.383050\pi\) |
0.839156 | + | 0.543891i | \(0.183050\pi\) | |||||||
\(282\) | 12.1403 | − | 17.3907i | 0.722946 | − | 1.03560i | ||||
\(283\) | −3.75448 | + | 2.72779i | −0.223180 | + | 0.162150i | −0.693757 | − | 0.720209i | \(-0.744046\pi\) |
0.470577 | + | 0.882359i | \(0.344046\pi\) | |||||||
\(284\) | −2.77393 | + | 1.60153i | −0.164603 | + | 0.0950334i | ||||
\(285\) | 1.71802 | − | 5.64809i | 0.101767 | − | 0.334564i | ||||
\(286\) | 0.171943 | + | 1.63593i | 0.0101672 | + | 0.0967345i | ||||
\(287\) | −10.0257 | + | 13.7992i | −0.591801 | + | 0.814544i | ||||
\(288\) | 2.81615 | − | 1.03407i | 0.165943 | − | 0.0609332i | ||||
\(289\) | −11.3619 | + | 12.6187i | −0.668349 | + | 0.742277i | ||||
\(290\) | 3.15943 | + | 1.40667i | 0.185528 | + | 0.0826024i | ||||
\(291\) | −0.136339 | − | 7.22246i | −0.00799232 | − | 0.423388i | ||||
\(292\) | −1.27498 | − | 5.99832i | −0.0746127 | − | 0.351025i | ||||
\(293\) | 2.93664 | + | 6.59581i | 0.171561 | + | 0.385331i | 0.978778 | − | 0.204923i | \(-0.0656943\pi\) |
−0.807218 | + | 0.590254i | \(0.799028\pi\) | |||||||
\(294\) | 0.268175 | − | 3.11626i | 0.0156403 | − | 0.181744i | ||||
\(295\) | −0.533018 | + | 1.64046i | −0.0310335 | + | 0.0955112i | ||||
\(296\) | 2.72741 | − | 1.21432i | 0.158528 | − | 0.0705811i | ||||
\(297\) | −25.9731 | − | 20.8499i | −1.50711 | − | 1.20983i | ||||
\(298\) | −3.25379 | − | 0.691615i | −0.188487 | − | 0.0400642i | ||||
\(299\) | 0.0281807 | − | 0.0632950i | 0.00162973 | − | 0.00366044i | ||||
\(300\) | −1.51608 | − | 0.837561i | −0.0875308 | − | 0.0483566i | ||||
\(301\) | 1.49474 | + | 0.157103i | 0.0861551 | + | 0.00905527i | ||||
\(302\) | −4.41093 | − | 3.20473i | −0.253820 | − | 0.184411i | ||||
\(303\) | −0.224838 | − | 0.649975i | −0.0129166 | − | 0.0373401i | ||||
\(304\) | 1.70422 | − | 2.95180i | 0.0977440 | − | 0.169298i | ||||
\(305\) | 5.17442 | + | 8.96235i | 0.296286 | + | 0.513183i | ||||
\(306\) | 0.373821 | + | 0.197403i | 0.0213699 | + | 0.0112848i | ||||
\(307\) | 20.1392 | + | 22.3668i | 1.14940 | + | 1.27654i | 0.955325 | + | 0.295557i | \(0.0955053\pi\) |
0.194080 | + | 0.980986i | \(0.437828\pi\) | |||||||
\(308\) | −5.87779 | − | 18.0900i | −0.334918 | − | 1.03077i | ||||
\(309\) | 4.01677 | + | 17.2864i | 0.228506 | + | 0.983388i | ||||
\(310\) | −4.31204 | + | 3.52225i | −0.244908 | + | 0.200051i | ||||
\(311\) | − | 5.29491i | − | 0.300247i | −0.988667 | − | 0.150123i | \(-0.952033\pi\) | ||
0.988667 | − | 0.150123i | \(-0.0479671\pi\) | |||||||
\(312\) | 0.380678 | − | 0.229472i | 0.0215517 | − | 0.0129913i | ||||
\(313\) | 6.74152 | − | 6.07010i | 0.381053 | − | 0.343102i | −0.456239 | − | 0.889857i | \(-0.650804\pi\) |
0.837293 | + | 0.546755i | \(0.184137\pi\) | |||||||
\(314\) | −6.51860 | − | 8.97208i | −0.367866 | − | 0.506324i | ||||
\(315\) | −4.95715 | + | 7.39453i | −0.279304 | + | 0.416635i | ||||
\(316\) | −13.5622 | − | 7.83012i | −0.762932 | − | 0.440479i | ||||
\(317\) | 15.4790 | − | 1.62691i | 0.869386 | − | 0.0913762i | 0.340678 | − | 0.940180i | \(-0.389343\pi\) |
0.528708 | + | 0.848804i | \(0.322677\pi\) | |||||||
\(318\) | −10.4201 | − | 4.40561i | −0.584332 | − | 0.247055i | ||||
\(319\) | 2.31718 | − | 22.0465i | 0.129737 | − | 1.23437i | ||||
\(320\) | −0.743145 | − | 0.669131i | −0.0415431 | − | 0.0374055i | ||||
\(321\) | −4.09314 | − | 0.789589i | −0.228457 | − | 0.0440706i | ||||
\(322\) | −0.166571 | + | 0.783656i | −0.00928265 | + | 0.0436714i | ||||
\(323\) | 0.469801 | − | 0.0998593i | 0.0261404 | − | 0.00555632i | ||||
\(324\) | −2.12761 | + | 8.74490i | −0.118200 | + | 0.485828i | ||||
\(325\) | −0.244067 | − | 0.0793023i | −0.0135384 | − | 0.00439890i | ||||
\(326\) | 11.6236 | + | 3.77672i | 0.643769 | + | 0.209173i | ||||
\(327\) | 16.3816 | + | 21.6750i | 0.905906 | + | 1.19863i | ||||
\(328\) | 5.62234 | − | 1.19507i | 0.310442 | − | 0.0659864i | ||||
\(329\) | −7.55484 | + | 35.5427i | −0.416512 | + | 1.95953i | ||||
\(330\) | −2.10290 | + | 10.9012i | −0.115761 | + | 0.600090i | ||||
\(331\) | 6.98624 | + | 6.29044i | 0.383998 | + | 0.345754i | 0.838412 | − | 0.545037i | \(-0.183484\pi\) |
−0.454413 | + | 0.890791i | \(0.650151\pi\) | |||||||
\(332\) | −0.565223 | + | 5.37774i | −0.0310206 | + | 0.295142i | ||||
\(333\) | −1.53021 | + | 8.82490i | −0.0838550 | + | 0.483601i | ||||
\(334\) | 10.3458 | − | 1.08739i | 0.566099 | − | 0.0594994i | ||||
\(335\) | 4.45032 | + | 2.56939i | 0.243147 | + | 0.140381i | ||||
\(336\) | −3.75402 | + | 3.51067i | −0.204799 | + | 0.191523i | ||||
\(337\) | 17.5658 | + | 24.1772i | 0.956869 | + | 1.31702i | 0.948408 | + | 0.317054i | \(0.102694\pi\) |
0.00846184 | + | 0.999964i | \(0.497306\pi\) | |||||||
\(338\) | −9.61194 | + | 8.65463i | −0.522821 | + | 0.470750i | ||||
\(339\) | −6.81073 | − | 11.2985i | −0.369908 | − | 0.613653i | ||||
\(340\) | − | 0.140914i | − | 0.00764211i | ||||||
\(341\) | 30.0131 | + | 19.3100i | 1.62530 | + | 1.04570i | ||||
\(342\) | 4.50861 | + | 9.17770i | 0.243798 | + | 0.496273i | ||||
\(343\) | −4.76304 | − | 14.6591i | −0.257180 | − | 0.791518i | ||||
\(344\) | −0.338903 | − | 0.376390i | −0.0182724 | − | 0.0202936i | ||||
\(345\) | 0.306287 | − | 0.353356i | 0.0164899 | − | 0.0190240i | ||||
\(346\) | −11.1974 | − | 19.3945i | −0.601978 | − | 1.04266i | ||||
\(347\) | −8.23955 | + | 14.2713i | −0.442322 | + | 0.766124i | −0.997861 | − | 0.0653659i | \(-0.979179\pi\) |
0.555539 | + | 0.831490i | \(0.312512\pi\) | |||||||
\(348\) | −5.66104 | + | 1.95826i | −0.303464 | + | 0.104974i | ||||
\(349\) | −24.0897 | − | 17.5022i | −1.28949 | − | 0.936872i | −0.289699 | − | 0.957118i | \(-0.593555\pi\) |
−0.999795 | + | 0.0202459i | \(0.993555\pi\) | |||||||
\(350\) | 2.95121 | + | 0.310184i | 0.157749 | + | 0.0165800i | ||||
\(351\) | −0.0641093 | + | 1.33193i | −0.00342190 | + | 0.0710934i | ||||
\(352\) | −2.60711 | + | 5.85567i | −0.138960 | + | 0.312108i | ||||
\(353\) | 25.4413 | + | 5.40772i | 1.35410 | + | 0.287824i | 0.827108 | − | 0.562044i | \(-0.189985\pi\) |
0.526997 | + | 0.849867i | \(0.323318\pi\) | |||||||
\(354\) | −1.26645 | − | 2.70587i | −0.0673113 | − | 0.143815i | ||||
\(355\) | −2.92614 | + | 1.30280i | −0.155304 | + | 0.0691456i | ||||
\(356\) | 2.45689 | − | 7.56152i | 0.130215 | − | 0.400760i | ||||
\(357\) | −0.721600 | − | 0.0620983i | −0.0381911 | − | 0.00328659i | ||||
\(358\) | −9.56282 | − | 21.4784i | −0.505411 | − | 1.13517i | ||||
\(359\) | −0.543205 | − | 2.55558i | −0.0286693 | − | 0.134878i | 0.961485 | − | 0.274856i | \(-0.0886302\pi\) |
−0.990155 | + | 0.139978i | \(0.955297\pi\) | |||||||
\(360\) | 2.90881 | − | 0.734038i | 0.153308 | − | 0.0386872i | ||||
\(361\) | −6.74423 | − | 3.00272i | −0.354959 | − | 0.158038i | ||||
\(362\) | −3.00292 | + | 3.33509i | −0.157830 | + | 0.175288i | ||||
\(363\) | 51.7129 | − | 6.42418i | 2.71422 | − | 0.337182i | ||||
\(364\) | −0.447617 | + | 0.616093i | −0.0234615 | + | 0.0322920i | ||||
\(365\) | −0.641003 | − | 6.09873i | −0.0335516 | − | 0.319222i | ||||
\(366\) | −17.1489 | − | 5.21631i | −0.896388 | − | 0.272661i | ||||
\(367\) | 16.7269 | − | 9.65731i | 0.873140 | − | 0.504107i | 0.00474934 | − | 0.999989i | \(-0.498488\pi\) |
0.868390 | + | 0.495881i | \(0.165155\pi\) | |||||||
\(368\) | 0.218421 | − | 0.158692i | 0.0113860 | − | 0.00827238i | ||||
\(369\) | −6.41417 | + | 16.0065i | −0.333909 | + | 0.833265i | ||||
\(370\) | 2.83940 | − | 0.922578i | 0.147614 | − | 0.0479626i | ||||
\(371\) | 19.3825 | 1.00629 | ||||||||
\(372\) | 1.28798 | − | 9.55725i | 0.0667785 | − | 0.495521i | ||||
\(373\) | 5.10909 | 0.264539 | 0.132269 | − | 0.991214i | \(-0.457774\pi\) | ||||
0.132269 | + | 0.991214i | \(0.457774\pi\) | |||||||
\(374\) | −0.859025 | + | 0.279114i | −0.0444191 | + | 0.0144327i | ||||
\(375\) | −1.42022 | − | 0.991446i | −0.0733400 | − | 0.0511980i | ||||
\(376\) | 9.90647 | − | 7.19747i | 0.510887 | − | 0.371181i | ||||
\(377\) | −0.768621 | + | 0.443764i | −0.0395860 | + | 0.0228550i | ||||
\(378\) | −2.47705 | − | 15.2191i | −0.127406 | − | 0.782787i | ||||
\(379\) | −1.52625 | − | 14.5213i | −0.0783983 | − | 0.745910i | −0.961142 | − | 0.276055i | \(-0.910973\pi\) |
0.882743 | − | 0.469855i | \(-0.155694\pi\) | |||||||
\(380\) | 2.00344 | − | 2.75749i | 0.102774 | − | 0.141456i | ||||
\(381\) | −4.19473 | − | 33.7664i | −0.214902 | − | 1.72991i | ||||
\(382\) | 10.9404 | − | 12.1505i | 0.559757 | − | 0.621673i | ||||
\(383\) | −22.9609 | − | 10.2228i | −1.17325 | − | 0.522363i | −0.274824 | − | 0.961495i | \(-0.588620\pi\) |
−0.898423 | + | 0.439132i | \(0.855286\pi\) | |||||||
\(384\) | 1.73174 | − | 0.0326902i | 0.0883726 | − | 0.00166821i | ||||
\(385\) | −3.95467 | − | 18.6053i | −0.201549 | − | 0.948213i | ||||
\(386\) | −4.96980 | − | 11.1623i | −0.252956 | − | 0.568149i | ||||
\(387\) | 1.50405 | − | 0.215743i | 0.0764554 | − | 0.0109669i | ||||
\(388\) | 1.28880 | − | 3.96651i | 0.0654288 | − | 0.201369i | ||||
\(389\) | 27.8643 | − | 12.4060i | 1.41278 | − | 0.629008i | 0.448469 | − | 0.893798i | \(-0.351969\pi\) |
0.964306 | + | 0.264790i | \(0.0853026\pi\) | |||||||
\(390\) | 0.402579 | − | 0.188423i | 0.0203854 | − | 0.00954116i | ||||
\(391\) | 0.0372129 | + | 0.00790984i | 0.00188194 | + | 0.000400018i | ||||
\(392\) | 0.734496 | − | 1.64970i | 0.0370976 | − | 0.0833226i | ||||
\(393\) | 9.00627 | − | 16.3023i | 0.454306 | − | 0.822344i | ||||
\(394\) | 22.1199 | + | 2.32490i | 1.11438 | + | 0.117127i | ||||
\(395\) | −12.6694 | − | 9.20486i | −0.637467 | − | 0.463147i | ||||
\(396\) | −10.2364 | − | 16.2785i | −0.514399 | − | 0.818025i | ||||
\(397\) | −0.671490 | + | 1.16305i | −0.0337011 | + | 0.0583720i | −0.882384 | − | 0.470530i | \(-0.844063\pi\) |
0.848683 | + | 0.528902i | \(0.177396\pi\) | |||||||
\(398\) | −9.57758 | − | 16.5888i | −0.480080 | − | 0.831524i | ||||
\(399\) | −13.2379 | − | 11.4745i | −0.662722 | − | 0.574444i | ||||
\(400\) | −0.669131 | − | 0.743145i | −0.0334565 | − | 0.0371572i | ||||
\(401\) | 8.37871 | + | 25.7870i | 0.418413 | + | 1.28774i | 0.909162 | + | 0.416442i | \(0.136723\pi\) |
−0.490750 | + | 0.871301i | \(0.663277\pi\) | |||||||
\(402\) | −8.66966 | + | 2.01453i | −0.432404 | + | 0.100476i | ||||
\(403\) | −0.0808398 | − | 1.42655i | −0.00402692 | − | 0.0710617i | ||||
\(404\) | − | 0.397081i | − | 0.0197555i | ||||||
\(405\) | −3.03004 | + | 8.47460i | −0.150564 | + | 0.421106i | ||||
\(406\) | 7.62671 | − | 6.86712i | 0.378507 | − | 0.340809i | ||||
\(407\) | −11.2483 | − | 15.4819i | −0.557557 | − | 0.767411i | ||||
\(408\) | 0.166709 | + | 0.178264i | 0.00825331 | + | 0.00882540i | ||||
\(409\) | −27.4210 | − | 15.8315i | −1.35588 | − | 0.782818i | −0.366814 | − | 0.930294i | \(-0.619552\pi\) |
−0.989066 | + | 0.147477i | \(0.952885\pi\) | |||||||
\(410\) | 5.71646 | − | 0.600824i | 0.282316 | − | 0.0296726i | ||||
\(411\) | 14.4032 | − | 34.0663i | 0.710456 | − | 1.68037i | ||||
\(412\) | −1.07102 | + | 10.1901i | −0.0527653 | + | 0.502029i | ||||
\(413\) | 3.80380 | + | 3.42496i | 0.187173 | + | 0.168531i | ||||
\(414\) | 0.0305679 | + | 0.809371i | 0.00150233 | + | 0.0397784i | ||||
\(415\) | −1.12425 | + | 5.28919i | −0.0551874 | + | 0.259636i | ||||
\(416\) | 0.251020 | − | 0.0533559i | 0.0123072 | − | 0.00261599i | ||||
\(417\) | −14.4131 | + | 10.8932i | −0.705811 | + | 0.533442i | ||||
\(418\) | −20.7783 | − | 6.75127i | −1.01630 | − | 0.330216i | ||||
\(419\) | 13.2118 | + | 4.29277i | 0.645438 | + | 0.209715i | 0.613401 | − | 0.789771i | \(-0.289801\pi\) |
0.0320362 | + | 0.999487i | \(0.489801\pi\) | |||||||
\(420\) | −4.10042 | + | 3.09904i | −0.200080 | + | 0.151218i | ||||
\(421\) | 36.5161 | − | 7.76173i | 1.77968 | − | 0.378283i | 0.803513 | − | 0.595287i | \(-0.202962\pi\) |
0.976171 | + | 0.217004i | \(0.0696284\pi\) | |||||||
\(422\) | 5.52717 | − | 26.0033i | 0.269059 | − | 1.26582i | ||||
\(423\) | 1.38641 | + | 36.7091i | 0.0674096 | + | 1.78486i | ||||
\(424\) | −4.85399 | − | 4.37055i | −0.235730 | − | 0.212253i | ||||
\(425\) | 0.0147295 | − | 0.140142i | 0.000714485 | − | 0.00679787i | ||||
\(426\) | 2.16046 | − | 5.10992i | 0.104675 | − | 0.247576i | ||||
\(427\) | 30.5415 | − | 3.21004i | 1.47801 | − | 0.155345i | ||||
\(428\) | −2.08430 | − | 1.20337i | −0.100748 | − | 0.0581672i | ||||
\(429\) | −1.94605 | − | 2.08095i | −0.0939564 | − | 0.100469i | ||||
\(430\) | −0.297703 | − | 0.409753i | −0.0143565 | − | 0.0197601i | ||||
\(431\) | −7.85858 | + | 7.07589i | −0.378534 | + | 0.340834i | −0.836333 | − | 0.548222i | \(-0.815305\pi\) |
0.457798 | + | 0.889056i | \(0.348638\pi\) | |||||||
\(432\) | −2.81142 | + | 4.36989i | −0.135264 | + | 0.210246i | ||||
\(433\) | − | 0.696606i | − | 0.0334767i | −0.999860 | − | 0.0167384i | \(-0.994672\pi\) | ||
0.999860 | − | 0.0167384i | \(-0.00532824\pi\) | |||||||
\(434\) | 4.34399 | + | 15.9408i | 0.208518 | + | 0.765185i | ||||
\(435\) | −5.83472 | + | 1.35579i | −0.279754 | + | 0.0650052i | ||||
\(436\) | 4.84728 | + | 14.9184i | 0.232142 | + | 0.714461i | ||||
\(437\) | 0.615749 | + | 0.683858i | 0.0294553 | + | 0.0327134i | ||||
\(438\) | 8.02604 | + | 6.95693i | 0.383499 | + | 0.332415i | ||||
\(439\) | −15.1086 | − | 26.1689i | −0.721096 | − | 1.24898i | −0.960561 | − | 0.278070i | \(-0.910305\pi\) |
0.239465 | − | 0.970905i | \(-0.423028\pi\) | |||||||
\(440\) | −3.20492 | + | 5.55108i | −0.152788 | + | 0.264637i | ||||
\(441\) | 2.88388 | + | 4.58610i | 0.137327 | + | 0.218386i | ||||
\(442\) | 0.0292559 | + | 0.0212557i | 0.00139156 | + | 0.00101103i | ||||
\(443\) | 22.0683 | + | 2.31948i | 1.04850 | + | 0.110202i | 0.613075 | − | 0.790024i | \(-0.289932\pi\) |
0.435423 | + | 0.900226i | \(0.356599\pi\) | |||||||
\(444\) | −2.50056 | + | 4.52629i | −0.118671 | + | 0.214808i | ||||
\(445\) | 3.23382 | − | 7.26328i | 0.153298 | − | 0.344313i | ||||
\(446\) | −23.0813 | − | 4.90608i | −1.09293 | − | 0.232310i | ||||
\(447\) | 5.21836 | − | 2.44240i | 0.246820 | − | 0.115521i | ||||
\(448\) | −2.71091 | + | 1.20698i | −0.128078 | + | 0.0570242i | ||||
\(449\) | −3.01743 | + | 9.28669i | −0.142401 | + | 0.438266i | −0.996668 | − | 0.0815694i | \(-0.974007\pi\) |
0.854266 | + | 0.519836i | \(0.174007\pi\) | |||||||
\(450\) | 2.96961 | − | 0.425964i | 0.139989 | − | 0.0200801i | ||||
\(451\) | −14.9855 | − | 33.6581i | −0.705642 | − | 1.58490i | ||||
\(452\) | −1.58360 | − | 7.45027i | −0.0744865 | − | 0.350431i | ||||
\(453\) | 9.44182 | − | 0.178233i | 0.443615 | − | 0.00837414i | ||||
\(454\) | 14.9857 | + | 6.67206i | 0.703314 | + | 0.313135i | ||||
\(455\) | −0.509565 | + | 0.565929i | −0.0238888 | + | 0.0265311i | ||||
\(456\) | 0.727797 | + | 5.85857i | 0.0340822 | + | 0.274353i | ||||
\(457\) | −16.7874 | + | 23.1059i | −0.785284 | + | 1.08085i | 0.209396 | + | 0.977831i | \(0.432850\pi\) |
−0.994679 | + | 0.103019i | \(0.967150\pi\) | |||||||
\(458\) | 0.330941 | + | 3.14869i | 0.0154638 | + | 0.147129i | ||||
\(459\) | −0.722699 | + | 0.117626i | −0.0337327 | + | 0.00549030i | ||||
\(460\) | 0.233812 | − | 0.134991i | 0.0109015 | − | 0.00629400i | ||||
\(461\) | 12.9289 | − | 9.39336i | 0.602157 | − | 0.437492i | −0.244487 | − | 0.969653i | \(-0.578620\pi\) |
0.846644 | + | 0.532160i | \(0.178620\pi\) | |||||||
\(462\) | 27.0140 | + | 18.8582i | 1.25680 | + | 0.877364i | ||||
\(463\) | −13.9863 | + | 4.54442i | −0.649997 | + | 0.211197i | −0.615413 | − | 0.788205i | \(-0.711011\pi\) |
−0.0345844 | + | 0.999402i | \(0.511011\pi\) | |||||||
\(464\) | −3.45843 | −0.160553 | ||||||||
\(465\) | 2.27993 | − | 9.37027i | 0.105729 | − | 0.434536i | ||||
\(466\) | −4.13659 | −0.191624 | ||||||||
\(467\) | −25.9318 | + | 8.42577i | −1.19998 | + | 0.389898i | −0.839755 | − | 0.542966i | \(-0.817301\pi\) |
−0.360228 | + | 0.932864i | \(0.617301\pi\) | |||||||
\(468\) | −0.286373 | + | 0.714640i | −0.0132376 | + | 0.0330342i | ||||
\(469\) | 12.3368 | − | 8.96323i | 0.569662 | − | 0.413883i | ||||
\(470\) | 10.6045 | − | 6.12254i | 0.489151 | − | 0.282412i | ||||
\(471\) | 18.3773 | + | 5.58994i | 0.846779 | + | 0.257571i | ||||
\(472\) | −0.180299 | − | 1.71543i | −0.00829894 | − | 0.0789592i | ||||
\(473\) | −1.90823 | + | 2.62645i | −0.0877404 | + | 0.120764i | ||||
\(474\) | 26.9174 | − | 3.34389i | 1.23636 | − | 0.153590i | ||||
\(475\) | 2.28070 | − | 2.53297i | 0.104646 | − | 0.116221i | ||||
\(476\) | −0.382004 | − | 0.170079i | −0.0175091 | − | 0.00779557i | ||||
\(477\) | 18.9994 | − | 4.79451i | 0.869925 | − | 0.219525i | ||||
\(478\) | −1.73768 | − | 8.17516i | −0.0794798 | − | 0.373923i | ||||
\(479\) | −6.64610 | − | 14.9274i | −0.303668 | − | 0.682049i | 0.695673 | − | 0.718359i | \(-0.255106\pi\) |
−0.999341 | + | 0.0363096i | \(0.988440\pi\) | |||||||
\(480\) | 1.72567 | + | 0.148505i | 0.0787658 | + | 0.00677831i | ||||
\(481\) | −0.236759 | + | 0.728669i | −0.0107953 | + | 0.0332245i | ||||
\(482\) | 9.69062 | − | 4.31454i | 0.441396 | − | 0.196522i | ||||
\(483\) | −0.588236 | − | 1.25681i | −0.0267656 | − | 0.0571867i | ||||
\(484\) | 29.4285 | + | 6.25522i | 1.33766 | + | 0.284328i | ||||
\(485\) | 1.69635 | − | 3.81006i | 0.0770273 | − | 0.173006i | ||||
\(486\) | −6.19273 | − | 14.3056i | −0.280908 | − | 0.648915i | ||||
\(487\) | 8.27105 | + | 0.869322i | 0.374797 | + | 0.0393927i | 0.290054 | − | 0.957010i | \(-0.406327\pi\) |
0.0847425 | + | 0.996403i | \(0.472993\pi\) | |||||||
\(488\) | −8.37238 | − | 6.08289i | −0.379000 | − | 0.275360i | ||||
\(489\) | −20.0055 | + | 6.92029i | −0.904682 | + | 0.312946i | ||||
\(490\) | 0.902913 | − | 1.56389i | 0.0407895 | − | 0.0706494i | ||||
\(491\) | −5.38717 | − | 9.33085i | −0.243120 | − | 0.421095i | 0.718482 | − | 0.695546i | \(-0.244837\pi\) |
−0.961601 | + | 0.274451i | \(0.911504\pi\) | |||||||
\(492\) | −6.52086 | + | 7.52296i | −0.293983 | + | 0.339161i | ||||
\(493\) | −0.326094 | − | 0.362164i | −0.0146865 | − | 0.0163110i | ||||
\(494\) | 0.270298 | + | 0.831891i | 0.0121613 | + | 0.0374285i | ||||
\(495\) | −8.47876 | − | 17.2593i | −0.381092 | − | 0.775749i | ||||
\(496\) | 2.50662 | − | 4.97161i | 0.112550 | − | 0.223232i | ||||
\(497\) | 9.50497i | 0.426356i | ||||||||
\(498\) | −4.83516 | − | 8.02121i | −0.216669 | − | 0.359439i | ||||
\(499\) | −18.9389 | + | 17.0527i | −0.847822 | + | 0.763383i | −0.973500 | − | 0.228689i | \(-0.926556\pi\) |
0.125677 | + | 0.992071i | \(0.459890\pi\) | |||||||
\(500\) | −0.587785 | − | 0.809017i | −0.0262866 | − | 0.0361803i | ||||
\(501\) | −13.1602 | + | 12.3071i | −0.587955 | + | 0.549841i | ||||
\(502\) | −5.90792 | − | 3.41094i | −0.263683 | − | 0.152238i | ||||
\(503\) | −3.00457 | + | 0.315793i | −0.133967 | + | 0.0140805i | −0.171275 | − | 0.985223i | \(-0.554789\pi\) |
0.0373075 | + | 0.999304i | \(0.488122\pi\) | |||||||
\(504\) | 1.52095 | − | 8.77150i | 0.0677486 | − | 0.390713i | ||||
\(505\) | 0.0415062 | − | 0.394905i | 0.00184700 | − | 0.0175731i | ||||
\(506\) | −1.28604 | − | 1.15796i | −0.0571717 | − | 0.0514776i | ||||
\(507\) | 4.24335 | − | 21.9970i | 0.188454 | − | 0.976923i | ||||
\(508\) | 4.08441 | − | 19.2156i | 0.181216 | − | 0.852556i | ||||
\(509\) | −0.368881 | + | 0.0784080i | −0.0163504 | + | 0.00347537i | −0.216080 | − | 0.976376i | \(-0.569327\pi\) |
0.199729 | + | 0.979851i | \(0.435994\pi\) | |||||||
\(510\) | 0.147162 | + | 0.194714i | 0.00651643 | + | 0.00862206i | ||||
\(511\) | −17.3068 | − | 5.62332i | −0.765607 | − | 0.248761i | ||||
\(512\) | 0.951057 | + | 0.309017i | 0.0420312 | + | 0.0136568i | ||||
\(513\) | −15.8146 | − | 7.97317i | −0.698232 | − | 0.352024i | ||||
\(514\) | 8.29878 | − | 1.76396i | 0.366044 | − | 0.0778050i | ||||
\(515\) | −2.13030 | + | 10.0223i | −0.0938724 | + | 0.441635i | ||||
\(516\) | 0.861374 | + | 0.166164i | 0.0379199 | + | 0.00731495i | ||||
\(517\) | −58.3286 | − | 52.5193i | −2.56529 | − | 2.30980i | ||||
\(518\) | 0.926063 | − | 8.81090i | 0.0406889 | − | 0.387129i | ||||
\(519\) | 35.7270 | + | 15.1053i | 1.56824 | + | 0.663050i | ||||
\(520\) | 0.255222 | − | 0.0268249i | 0.0111922 | − | 0.00117635i | ||||
\(521\) | 32.5754 | + | 18.8074i | 1.42715 | + | 0.823967i | 0.996895 | − | 0.0787386i | \(-0.0250893\pi\) |
0.430258 | + | 0.902706i | \(0.358423\pi\) | |||||||
\(522\) | 5.77731 | − | 8.61796i | 0.252866 | − | 0.377198i | ||||
\(523\) | −15.2004 | − | 20.9216i | −0.664669 | − | 0.914838i | 0.334956 | − | 0.942234i | \(-0.391279\pi\) |
−0.999625 | + | 0.0273955i | \(0.991279\pi\) | |||||||
\(524\) | 7.99102 | − | 7.19514i | 0.349089 | − | 0.314321i | ||||
\(525\) | −4.40190 | + | 2.65345i | −0.192114 | + | 0.115806i | ||||
\(526\) | 21.7465i | 0.948193i | ||||||||
\(527\) | 0.756971 | − | 0.206280i | 0.0329742 | − | 0.00898569i | ||||
\(528\) | −2.51282 | − | 10.8140i | −0.109356 | − | 0.470621i | ||||
\(529\) | −7.08487 | − | 21.8050i | −0.308038 | − | 0.948042i | ||||
\(530\) | −4.37055 | − | 4.85399i | −0.189845 | − | 0.210844i | ||||
\(531\) | 4.57583 | + | 2.41635i | 0.198574 | + | 0.104861i | ||||
\(532\) | −5.05722 | − | 8.75936i | −0.219258 | − | 0.379766i | ||||
\(533\) | −0.737541 | + | 1.27746i | −0.0319464 | + | 0.0553328i | ||||
\(534\) | 4.50188 | + | 13.0143i | 0.194815 | + | 0.563183i | ||||
\(535\) | −1.94710 | − | 1.41465i | −0.0841803 | − | 0.0611606i | ||||
\(536\) | −5.11064 | − | 0.537150i | −0.220746 | − | 0.0232013i | ||||
\(537\) | 35.6446 | + | 19.6920i | 1.53818 | + | 0.849771i | ||||
\(538\) | 1.54452 | − | 3.46904i | 0.0665888 | − | 0.149561i | ||||
\(539\) | −11.3221 | − | 2.40659i | −0.487677 | − | 0.103659i | ||||
\(540\) | −3.25279 | + | 4.05208i | −0.139978 | + | 0.174374i | ||||
\(541\) | 10.0784 | − | 4.48718i | 0.433303 | − | 0.192919i | −0.178482 | − | 0.983943i | \(-0.557119\pi\) |
0.611785 | + | 0.791024i | \(0.290452\pi\) | |||||||
\(542\) | −1.40698 | + | 4.33025i | −0.0604351 | + | 0.186000i | ||||
\(543\) | 0.666462 | − | 7.74447i | 0.0286006 | − | 0.332347i | ||||
\(544\) | 0.0573147 | + | 0.128731i | 0.00245735 | + | 0.00551930i | ||||
\(545\) | 3.26133 | + | 15.3433i | 0.139700 | + | 0.657236i | ||||
\(546\) | −0.0248946 | − | 1.31878i | −0.00106539 | − | 0.0564385i | ||||
\(547\) | 26.0680 | + | 11.6062i | 1.11459 | + | 0.496246i | 0.879581 | − | 0.475749i | \(-0.157823\pi\) |
0.235005 | + | 0.971994i | \(0.424489\pi\) | |||||||
\(548\) | 14.2885 | − | 15.8690i | 0.610376 | − | 0.677891i | ||||
\(549\) | 29.1439 | − | 10.7014i | 1.24383 | − | 0.456726i | ||||
\(550\) | −3.76760 | + | 5.18566i | −0.160651 | + | 0.221117i | ||||
\(551\) | −1.23217 | − | 11.7233i | −0.0524921 | − | 0.499429i | ||||
\(552\) | −0.136084 | + | 0.447385i | −0.00579213 | + | 0.0190420i | ||||
\(553\) | −40.2452 | + | 23.2356i | −1.71140 | + | 0.988078i | ||||
\(554\) | 7.51429 | − | 5.45945i | 0.319252 | − | 0.231950i | ||||
\(555\) | −2.95999 | + | 4.24012i | −0.125644 | + | 0.179983i | ||||
\(556\) | −9.92018 | + | 3.22326i | −0.420709 | + | 0.136697i | ||||
\(557\) | −28.2244 | −1.19590 | −0.597952 | − | 0.801532i | \(-0.704019\pi\) | ||||
−0.597952 | + | 0.801532i | \(0.704019\pi\) | |||||||
\(558\) | 8.20130 | + | 14.5512i | 0.347189 | + | 0.616003i | ||||
\(559\) | 0.129978 | 0.00549746 | ||||||||
\(560\) | −2.82222 | + | 0.916996i | −0.119261 | + | 0.0387502i | ||||
\(561\) | 0.895506 | − | 1.28279i | 0.0378083 | − | 0.0541595i | ||||
\(562\) | −17.0880 | + | 12.4151i | −0.720812 | + | 0.523701i | ||||
\(563\) | 17.1685 | − | 9.91222i | 0.723565 | − | 0.417750i | −0.0924984 | − | 0.995713i | \(-0.529485\pi\) |
0.816063 | + | 0.577962i | \(0.196152\pi\) | |||||||
\(564\) | −6.17210 | + | 20.2911i | −0.259892 | + | 0.854411i | ||||
\(565\) | −0.796164 | − | 7.57499i | −0.0334949 | − | 0.318682i | ||||
\(566\) | 2.72779 | − | 3.75448i | 0.114657 | − | 0.157812i | ||||
\(567\) | 19.3167 | + | 18.4428i | 0.811225 | + | 0.774525i | ||||
\(568\) | 2.14327 | − | 2.38034i | 0.0899295 | − | 0.0998769i | ||||
\(569\) | −37.4164 | − | 16.6589i | −1.56858 | − | 0.698376i | −0.575717 | − | 0.817649i | \(-0.695277\pi\) |
−0.992862 | + | 0.119272i | \(0.961944\pi\) | |||||||
\(570\) | 0.111423 | + | 5.90255i | 0.00466698 | + | 0.247231i | ||||
\(571\) | −9.25762 | − | 43.5537i | −0.387419 | − | 1.82266i | −0.549022 | − | 0.835808i | \(-0.685000\pi\) |
0.161603 | − | 0.986856i | \(-0.448334\pi\) | |||||||
\(572\) | −0.669057 | − | 1.50273i | −0.0279747 | − | 0.0628322i | ||||
\(573\) | −2.42808 | + | 28.2149i | −0.101434 | + | 1.17870i | ||||
\(574\) | 5.27084 | − | 16.2220i | 0.220001 | − | 0.677093i | ||||
\(575\) | 0.246641 | − | 0.109812i | 0.0102857 | − | 0.00457947i | ||||
\(576\) | −2.35877 | + | 1.85370i | −0.0982822 | + | 0.0772374i | ||||
\(577\) | 8.59621 | + | 1.82718i | 0.357865 | + | 0.0760665i | 0.383336 | − | 0.923609i | \(-0.374775\pi\) |
−0.0254710 | + | 0.999676i | \(0.508109\pi\) | |||||||
\(578\) | 6.90645 | − | 15.5121i | 0.287270 | − | 0.645220i | ||||
\(579\) | 18.5245 | + | 10.2339i | 0.769853 | + | 0.425307i | ||||
\(580\) | −3.43948 | − | 0.361504i | −0.142817 | − | 0.0150106i | ||||
\(581\) | 12.9816 | + | 9.43168i | 0.538567 | + | 0.391292i | ||||
\(582\) | 2.36153 | + | 6.82684i | 0.0978886 | + | 0.282982i | ||||
\(583\) | −20.9335 | + | 36.2579i | −0.866977 | + | 1.50165i | ||||
\(584\) | 3.06616 | + | 5.31075i | 0.126879 | + | 0.219760i | ||||
\(585\) | −0.359504 | + | 0.680791i | −0.0148637 | + | 0.0281472i | ||||
\(586\) | −4.83113 | − | 5.36552i | −0.199572 | − | 0.221647i | ||||
\(587\) | 1.60954 | + | 4.95366i | 0.0664329 | + | 0.204459i | 0.978763 | − | 0.204997i | \(-0.0657184\pi\) |
−0.912330 | + | 0.409456i | \(0.865718\pi\) | |||||||
\(588\) | 0.707929 | + | 3.04661i | 0.0291945 | + | 0.125640i | ||||
\(589\) | 17.7457 | + | 6.72559i | 0.731198 | + | 0.277123i | ||||
\(590\) | − | 1.72488i | − | 0.0710122i | ||||||
\(591\) | −32.9931 | + | 19.8882i | −1.35716 | + | 0.818090i | ||||
\(592\) | −2.21868 | + | 1.99771i | −0.0911871 | + | 0.0821053i | ||||
\(593\) | −8.51531 | − | 11.7203i | −0.349682 | − | 0.481296i | 0.597556 | − | 0.801827i | \(-0.296139\pi\) |
−0.947238 | + | 0.320531i | \(0.896139\pi\) | |||||||
\(594\) | 31.1449 | + | 11.8033i | 1.27789 | + | 0.484294i | ||||
\(595\) | −0.362133 | − | 0.209078i | −0.0148460 | − | 0.00857136i | ||||
\(596\) | 3.30826 | − | 0.347712i | 0.135512 | − | 0.0142429i | ||||
\(597\) | 30.5586 | + | 12.9201i | 1.25068 | + | 0.528786i | ||||
\(598\) | −0.00724225 | + | 0.0689054i | −0.000296158 | + | 0.00281775i | ||||
\(599\) | −31.5334 | − | 28.3928i | −1.28842 | − | 1.16010i | −0.977794 | − | 0.209568i | \(-0.932794\pi\) |
−0.310627 | − | 0.950532i | \(-0.600539\pi\) | |||||||
\(600\) | 1.70070 | + | 0.328074i | 0.0694306 | + | 0.0133936i | ||||
\(601\) | 2.71216 | − | 12.7597i | 0.110631 | − | 0.520480i | −0.887578 | − | 0.460658i | \(-0.847613\pi\) |
0.998209 | − | 0.0598218i | \(-0.0190532\pi\) | |||||||
\(602\) | −1.47013 | + | 0.312485i | −0.0599178 | + | 0.0127359i | ||||
\(603\) | 9.87583 | − | 11.8377i | 0.402175 | − | 0.482070i | ||||
\(604\) | 5.18536 | + | 1.68482i | 0.210989 | + | 0.0685545i | ||||
\(605\) | 28.6134 | + | 9.29707i | 1.16330 | + | 0.377980i | ||||
\(606\) | 0.414687 | + | 0.548684i | 0.0168455 | + | 0.0222888i | ||||
\(607\) | −44.9720 | + | 9.55908i | −1.82536 | + | 0.387991i | −0.987464 | − | 0.157846i | \(-0.949545\pi\) |
−0.837891 | + | 0.545837i | \(0.816212\pi\) | |||||||
\(608\) | −0.708656 | + | 3.33397i | −0.0287398 | + | 0.135210i | ||||
\(609\) | −3.36694 | + | 17.4538i | −0.136435 | + | 0.707264i | ||||
\(610\) | −7.69068 | − | 6.92472i | −0.311387 | − | 0.280374i | ||||
\(611\) | −0.328473 | + | 3.12521i | −0.0132886 | + | 0.126432i | ||||
\(612\) | −0.416525 | − | 0.0722243i | −0.0168370 | − | 0.00291949i | ||||
\(613\) | 37.1749 | − | 3.90724i | 1.50148 | − | 0.157812i | 0.682184 | − | 0.731181i | \(-0.261030\pi\) |
0.819297 | + | 0.573369i | \(0.194364\pi\) | |||||||
\(614\) | −26.0652 | − | 15.0488i | −1.05191 | − | 0.607319i | ||||
\(615\) | −7.27150 | + | 6.80014i | −0.293215 | + | 0.274208i | ||||
\(616\) | 11.1802 | + | 15.3883i | 0.450464 | + | 0.620010i | ||||
\(617\) | 17.3969 | − | 15.6642i | 0.700373 | − | 0.630618i | −0.239997 | − | 0.970774i | \(-0.577146\pi\) |
0.940369 | + | 0.340155i | \(0.110480\pi\) | |||||||
\(618\) | −9.16196 | − | 15.1991i | −0.368548 | − | 0.611397i | ||||
\(619\) | 28.5570i | 1.14780i | 0.818925 | + | 0.573900i | \(0.194570\pi\) | ||||
−0.818925 | + | 0.573900i | \(0.805430\pi\) | |||||||
\(620\) | 3.01256 | − | 4.68236i | 0.120987 | − | 0.188048i | ||||
\(621\) | −0.887497 | − | 1.08646i | −0.0356140 | − | 0.0435982i | ||||
\(622\) | 1.63622 | + | 5.03576i | 0.0656063 | + | 0.201915i | ||||
\(623\) | −15.7870 | − | 17.5332i | −0.632491 | − | 0.702453i | ||||
\(624\) | −0.291136 | + | 0.335877i | −0.0116548 | + | 0.0134458i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −4.53581 | + | 7.85625i | −0.181287 | + | 0.313999i | ||||
\(627\) | 35.7619 | − | 12.3707i | 1.42819 | − | 0.494039i | ||||
\(628\) | 8.97208 | + | 6.51860i | 0.358025 | + | 0.260120i | ||||
\(629\) | −0.418397 | − | 0.0439753i | −0.0166826 | − | 0.00175341i | ||||
\(630\) | 2.42949 | − | 8.56446i | 0.0967932 | − | 0.341216i | ||||
\(631\) | 11.7545 | − | 26.4010i | 0.467938 | − | 1.05101i | −0.513301 | − | 0.858209i | \(-0.671577\pi\) |
0.981239 | − | 0.192797i | \(-0.0617560\pi\) | |||||||
\(632\) | 15.3180 | + | 3.25595i | 0.609319 | + | 0.129515i | ||||
\(633\) | 19.5189 | + | 41.7035i | 0.775805 | + | 1.65756i | ||||
\(634\) | −14.2186 | + | 6.33055i | −0.564694 | + | 0.251418i | ||||
\(635\) | 6.07061 | − | 18.6834i | 0.240905 | − | 0.741429i | ||||
\(636\) | 11.2715 | + | 0.969990i | 0.446946 | + | 0.0384626i | ||||
\(637\) | 0.188492 | + | 0.423360i | 0.00746832 | + | 0.0167741i | ||||
\(638\) | 4.60897 | + | 21.6835i | 0.182471 | + | 0.858459i | ||||
\(639\) | 2.35117 | + | 9.31711i | 0.0930109 | + | 0.368579i | ||||
\(640\) | 0.913545 | + | 0.406737i | 0.0361111 | + | 0.0160777i | ||||
\(641\) | 10.6851 | − | 11.8670i | 0.422036 | − | 0.468719i | −0.494205 | − | 0.869345i | \(-0.664541\pi\) |
0.916241 | + | 0.400627i | \(0.131208\pi\) | |||||||
\(642\) | 4.13680 | − | 0.513906i | 0.163267 | − | 0.0202822i | ||||
\(643\) | −4.07102 | + | 5.60327i | −0.160545 | + | 0.220972i | −0.881710 | − | 0.471792i | \(-0.843607\pi\) |
0.721164 | + | 0.692764i | \(0.243607\pi\) | |||||||
\(644\) | −0.0837444 | − | 0.796774i | −0.00329999 | − | 0.0313973i | ||||
\(645\) | 0.839286 | + | 0.255292i | 0.0330469 | + | 0.0100521i | ||||
\(646\) | −0.415949 | + | 0.240148i | −0.0163653 | + | 0.00944851i | ||||
\(647\) | −14.4912 | + | 10.5285i | −0.569707 | + | 0.413917i | −0.834999 | − | 0.550252i | \(-0.814532\pi\) |
0.265291 | + | 0.964168i | \(0.414532\pi\) | |||||||
\(648\) | −0.678847 | − | 8.97436i | −0.0266676 | − | 0.352546i | ||||
\(649\) | −10.5151 | + | 3.41655i | −0.412753 | + | 0.134111i | ||||
\(650\) | 0.256628 | 0.0100658 | ||||||||
\(651\) | −22.6501 | − | 17.4904i | −0.887729 | − | 0.685501i | ||||
\(652\) | −12.2217 | −0.478640 | ||||||||
\(653\) | −15.6971 | + | 5.10030i | −0.614276 | + | 0.199590i | −0.599597 | − | 0.800302i | \(-0.704673\pi\) |
−0.0146786 | + | 0.999892i | \(0.504673\pi\) | |||||||
\(654\) | −22.2778 | − | 15.5519i | −0.871131 | − | 0.608129i | ||||
\(655\) | 8.69934 | − | 6.32044i | 0.339911 | − | 0.246960i | ||||
\(656\) | −4.97787 | + | 2.87397i | −0.194353 | + | 0.112210i | ||||
\(657\) | −18.3557 | − | 1.23113i | −0.716125 | − | 0.0480309i | ||||
\(658\) | −3.79823 | − | 36.1377i | −0.148070 | − | 1.40880i | ||||
\(659\) | 12.2545 | − | 16.8669i | 0.477369 | − | 0.657043i | −0.500627 | − | 0.865663i | \(-0.666897\pi\) |
0.977997 | + | 0.208620i | \(0.0668973\pi\) | |||||||
\(660\) | −1.36868 | − | 11.0175i | −0.0532756 | − | 0.428854i | ||||
\(661\) | −21.1234 | + | 23.4599i | −0.821605 | + | 0.912485i | −0.997409 | − | 0.0719405i | \(-0.977081\pi\) |
0.175804 | + | 0.984425i | \(0.443747\pi\) | |||||||
\(662\) | −8.58816 | − | 3.82370i | −0.333788 | − | 0.148612i | ||||
\(663\) | −0.0626238 | + | 0.00118215i | −0.00243211 | + | 4.59110e-5i | ||||
\(664\) | −1.12425 | − | 5.28919i | −0.0436295 | − | 0.205261i | ||||
\(665\) | −4.11391 | − | 9.24000i | −0.159531 | − | 0.358312i | ||||
\(666\) | −1.27173 | − | 8.86584i | −0.0492784 | − | 0.343544i | ||||
\(667\) | 0.288534 | − | 0.888016i | 0.0111721 | − | 0.0343841i | ||||
\(668\) | −9.50345 | + | 4.23121i | −0.367700 | + | 0.163710i | ||||
\(669\) | 37.0172 | − | 17.3255i | 1.43117 | − | 0.669843i | ||||
\(670\) | −5.02649 | − | 1.06841i | −0.194190 | − | 0.0412764i | ||||
\(671\) | −26.9806 | + | 60.5994i | −1.04157 | + | 2.33941i | ||||
\(672\) | 2.48543 | − | 4.49890i | 0.0958775 | − | 0.173549i | ||||
\(673\) | −0.236402 | − | 0.0248468i | −0.00911263 | − | 0.000957776i | 0.0999711 | − | 0.994990i | \(-0.468125\pi\) |
−0.109084 | + | 0.994033i | \(0.534792\pi\) | |||||||
\(674\) | −24.1772 | − | 17.5658i | −0.931272 | − | 0.676609i | ||||
\(675\) | −3.65853 | + | 3.68987i | −0.140817 | + | 0.142023i | ||||
\(676\) | 6.46707 | − | 11.2013i | 0.248734 | − | 0.430819i | ||||
\(677\) | 3.27774 | + | 5.67721i | 0.125974 | + | 0.218193i | 0.922113 | − | 0.386920i | \(-0.126461\pi\) |
−0.796139 | + | 0.605113i | \(0.793128\pi\) | |||||||
\(678\) | 9.96883 | + | 8.64092i | 0.382851 | + | 0.331853i | ||||
\(679\) | −8.28129 | − | 9.19731i | −0.317807 | − | 0.352960i | ||||
\(680\) | 0.0435447 | + | 0.134017i | 0.00166986 | + | 0.00513931i | ||||
\(681\) | −27.6750 | + | 6.43074i | −1.06051 | + | 0.246426i | ||||
\(682\) | −34.5113 | − | 9.09034i | −1.32151 | − | 0.348087i | ||||
\(683\) | 21.3045i | 0.815194i | 0.913162 | + | 0.407597i | \(0.133633\pi\) | ||||
−0.913162 | + | 0.407597i | \(0.866367\pi\) | |||||||
\(684\) | −7.12400 | − | 7.33527i | −0.272393 | − | 0.280471i | ||||
\(685\) | 15.8690 | − | 14.2885i | 0.606324 | − | 0.545937i | ||||
\(686\) | 9.05983 | + | 12.4698i | 0.345906 | + | 0.476099i | ||||
\(687\) | −3.74559 | − | 4.00523i | −0.142903 | − | 0.152809i | ||||
\(688\) | 0.438627 | + | 0.253242i | 0.0167225 | + | 0.00965474i | ||||
\(689\) | 1.66703 | − | 0.175212i | 0.0635087 | − | 0.00667503i | ||||
\(690\) | −0.182103 | + | 0.430709i | −0.00693255 | + | 0.0163968i | ||||
\(691\) | −1.20982 | + | 11.5106i | −0.0460236 | + | 0.437885i | 0.947111 | + | 0.320907i | \(0.103988\pi\) |
−0.993134 | + | 0.116979i | \(0.962679\pi\) | |||||||
\(692\) | 16.6426 | + | 14.9851i | 0.632658 | + | 0.569648i | ||||
\(693\) | −57.0221 | + | 2.15358i | −2.16609 | + | 0.0818079i | ||||
\(694\) | 3.42620 | − | 16.1190i | 0.130057 | − | 0.611868i | ||||
\(695\) | −10.2028 | + | 2.16866i | −0.387013 | + | 0.0822621i | ||||
\(696\) | 4.77883 | − | 3.61177i | 0.181141 | − | 0.136904i | ||||
\(697\) | −0.770321 | − | 0.250293i | −0.0291780 | − | 0.00948051i | ||||
\(698\) | 28.3192 | + | 9.20146i | 1.07190 | + | 0.348280i | ||||
\(699\) | 5.71591 | − | 4.32000i | 0.216196 | − | 0.163397i | ||||
\(700\) | −2.90262 | + | 0.616970i | −0.109709 | + | 0.0233193i | ||||
\(701\) | 2.04055 | − | 9.60001i | 0.0770703 | − | 0.362587i | −0.922665 | − | 0.385603i | \(-0.873993\pi\) |
0.999735 | + | 0.0230156i | \(0.00732675\pi\) | |||||||
\(702\) | −0.350619 | − | 1.28656i | −0.0132332 | − | 0.0485579i | ||||
\(703\) | −7.56225 | − | 6.80908i | −0.285216 | − | 0.256809i | ||||
\(704\) | 0.670010 | − | 6.37472i | 0.0252519 | − | 0.240256i | ||||
\(705\) | −8.25929 | + | 19.5348i | −0.311063 | + | 0.735724i | ||||
\(706\) | −25.8672 | + | 2.71875i | −0.973525 | + | 0.102322i | ||||
\(707\) | −1.02046 | − | 0.589161i | −0.0383782 | − | 0.0221577i | ||||
\(708\) | 2.04063 | + | 2.18208i | 0.0766916 | + | 0.0820076i | ||||
\(709\) | 12.4227 | + | 17.0983i | 0.466543 | + | 0.642141i | 0.975849 | − | 0.218444i | \(-0.0700982\pi\) |
−0.509307 | + | 0.860585i | \(0.670098\pi\) | |||||||
\(710\) | 2.38034 | − | 2.14327i | 0.0893326 | − | 0.0804354i | ||||
\(711\) | −33.7022 | + | 32.7315i | −1.26393 | + | 1.22753i | ||||
\(712\) | 7.95065i | 0.297963i | ||||||||
\(713\) | 1.06743 | + | 1.05840i | 0.0399755 | + | 0.0396373i | ||||
\(714\) | 0.705472 | − | 0.163928i | 0.0264016 | − | 0.00613484i | ||||
\(715\) | −0.508314 | − | 1.56443i | −0.0190099 | − | 0.0585064i | ||||
\(716\) | 15.7320 | + | 17.4721i | 0.587932 | + | 0.652965i | ||||
\(717\) | 10.9388 | + | 9.48165i | 0.408516 | + | 0.354099i | ||||
\(718\) | 1.30634 | + | 2.26264i | 0.0487520 | + | 0.0844409i | ||||
\(719\) | 23.8175 | − | 41.2531i | 0.888242 | − | 1.53848i | 0.0462892 | − | 0.998928i | \(-0.485260\pi\) |
0.841952 | − | 0.539552i | \(-0.181406\pi\) | |||||||
\(720\) | −2.53961 | + | 1.59698i | −0.0946458 | + | 0.0595161i | ||||
\(721\) | 24.5983 | + | 17.8717i | 0.916089 | + | 0.665578i | ||||
\(722\) | 7.34204 | + | 0.771679i | 0.273242 | + | 0.0287189i | ||||
\(723\) | −8.88460 | + | 16.0821i | −0.330422 | + | 0.598100i | ||||
\(724\) | 1.82535 | − | 4.09981i | 0.0678387 | − | 0.152368i | ||||
\(725\) | −3.38285 | − | 0.719047i | −0.125636 | − | 0.0267047i | ||||
\(726\) | −47.1967 | + | 22.0899i | −1.75163 | + | 0.819834i | ||||
\(727\) | −4.34575 | + | 1.93485i | −0.161175 | + | 0.0717596i | −0.485738 | − | 0.874104i | \(-0.661449\pi\) |
0.324564 | + | 0.945864i | \(0.394783\pi\) | |||||||
\(728\) | 0.235326 | − | 0.724260i | 0.00872178 | − | 0.0268429i | ||||
\(729\) | 23.4970 | + | 13.3001i | 0.870258 | + | 0.492596i | ||||
\(730\) | 2.49424 | + | 5.60216i | 0.0923160 | + | 0.207345i | ||||
\(731\) | 0.0148387 | + | 0.0698108i | 0.000548830 | + | 0.00258204i | ||||
\(732\) | 17.9215 | − | 0.338305i | 0.662398 | − | 0.0125041i | ||||
\(733\) | 39.6919 | + | 17.6720i | 1.46605 | + | 0.652729i | 0.975763 | − | 0.218830i | \(-0.0702241\pi\) |
0.490290 | + | 0.871559i | \(0.336891\pi\) | |||||||
\(734\) | −12.9240 | + | 14.3536i | −0.477034 | + | 0.529799i | ||||
\(735\) | 0.385593 | + | 3.10392i | 0.0142228 | + | 0.114490i | ||||
\(736\) | −0.158692 | + | 0.218421i | −0.00584946 | + | 0.00805109i | ||||
\(737\) | 3.44304 | + | 32.7583i | 0.126826 | + | 1.20667i | ||||
\(738\) | 1.15396 | − | 17.2052i | 0.0424778 | − | 0.633332i | ||||
\(739\) | −36.7939 | + | 21.2430i | −1.35349 | + | 0.781436i | −0.988736 | − | 0.149669i | \(-0.952179\pi\) |
−0.364751 | + | 0.931105i | \(0.618846\pi\) | |||||||
\(740\) | −2.41534 | + | 1.75485i | −0.0887897 | + | 0.0645095i | ||||
\(741\) | −1.24227 | − | 0.867219i | −0.0456360 | − | 0.0318581i | ||||
\(742\) | −18.4339 | + | 5.98953i | −0.676729 | + | 0.219882i | ||||
\(743\) | −47.4483 | −1.74071 | −0.870354 | − | 0.492426i | \(-0.836110\pi\) | ||||
−0.870354 | + | 0.492426i | \(0.836110\pi\) | |||||||
\(744\) | 1.72841 | + | 9.48750i | 0.0633668 | + | 0.347828i | ||||
\(745\) | 3.32649 | 0.121873 | ||||||||
\(746\) | −4.85904 | + | 1.57880i | −0.177902 | + | 0.0578038i | ||||
\(747\) | 15.0581 | + | 6.03411i | 0.550946 | + | 0.220777i | ||||
\(748\) | 0.730731 | − | 0.530907i | 0.0267182 | − | 0.0194119i | ||||
\(749\) | −6.18508 | + | 3.57096i | −0.225998 | + | 0.130480i | ||||
\(750\) | 1.65709 | + | 0.504048i | 0.0605082 | + | 0.0184052i | ||||
\(751\) | −0.906080 | − | 8.62078i | −0.0330633 | − | 0.314577i | −0.998537 | − | 0.0540754i | \(-0.982779\pi\) |
0.965474 | − | 0.260501i | \(-0.0838878\pi\) | |||||||
\(752\) | −7.19747 | + | 9.90647i | −0.262465 | + | 0.361252i | ||||
\(753\) | 11.7257 | − | 1.45666i | 0.427308 | − | 0.0530835i | ||||
\(754\) | 0.593872 | − | 0.659562i | 0.0216275 | − | 0.0240198i | ||||
\(755\) | 4.98084 | + | 2.21761i | 0.181271 | + | 0.0807072i | ||||
\(756\) | 7.05878 | + | 13.7088i | 0.256725 | + | 0.498584i | ||||
\(757\) | −7.35513 | − | 34.6031i | −0.267327 | − | 1.25767i | −0.882888 | − | 0.469584i | \(-0.844404\pi\) |
0.615561 | − | 0.788089i | \(-0.288929\pi\) | |||||||
\(758\) | 5.93889 | + | 13.3390i | 0.215710 | + | 0.484493i | ||||
\(759\) | 2.98635 | + | 0.256995i | 0.108398 | + | 0.00932832i | ||||
\(760\) | −1.05327 | + | 3.24163i | −0.0382061 | + | 0.117586i | ||||
\(761\) | −17.3365 | + | 7.71872i | −0.628448 | + | 0.279803i | −0.696143 | − | 0.717903i | \(-0.745102\pi\) |
0.0676950 | + | 0.997706i | \(0.478436\pi\) | |||||||
\(762\) | 14.4238 | + | 30.8176i | 0.522520 | + | 1.11640i | ||||
\(763\) | 45.5308 | + | 9.67786i | 1.64832 | + | 0.350362i | ||||
\(764\) | −6.65018 | + | 14.9366i | −0.240595 | + | 0.540386i | ||||
\(765\) | −0.406694 | − | 0.115367i | −0.0147041 | − | 0.00417112i | ||||
\(766\) | 24.9961 | + | 2.62720i | 0.903147 | + | 0.0949246i | ||||
\(767\) | 0.358113 | + | 0.260184i | 0.0129307 | + | 0.00939471i | ||||
\(768\) | −1.63688 | + | 0.566228i | −0.0590659 | + | 0.0204320i | ||||
\(769\) | −9.50285 | + | 16.4594i | −0.342681 | + | 0.593542i | −0.984930 | − | 0.172955i | \(-0.944668\pi\) |
0.642248 | + | 0.766497i | \(0.278002\pi\) | |||||||
\(770\) | 9.51046 | + | 16.4726i | 0.342733 | + | 0.593632i | ||||
\(771\) | −9.62503 | + | 11.1042i | −0.346637 | + | 0.399907i | ||||
\(772\) | 8.17591 | + | 9.08027i | 0.294258 | + | 0.326806i | ||||
\(773\) | 9.32942 | + | 28.7130i | 0.335556 | + | 1.03273i | 0.966448 | + | 0.256864i | \(0.0826892\pi\) |
−0.630892 | + | 0.775871i | \(0.717311\pi\) | |||||||
\(774\) | −1.36377 | + | 0.669963i | −0.0490198 | + | 0.0240813i | ||||
\(775\) | 3.48550 | − | 4.34181i | 0.125203 | − | 0.155962i | ||||
\(776\) | 4.17063i | 0.149717i | ||||||||
\(777\) | 7.92194 | + | 13.1420i | 0.284198 | + | 0.471466i | ||||
\(778\) | −22.6669 | + | 20.4093i | −0.812646 | + | 0.731710i | ||||
\(779\) | −11.5156 | − | 15.8499i | −0.412591 | − | 0.567882i | ||||
\(780\) | −0.324650 | + | 0.303605i | −0.0116243 | + | 0.0108708i | ||||
\(781\) | −17.7805 | − | 10.2656i | −0.636235 | − | 0.367330i | ||||
\(782\) | −0.0378358 | + | 0.00397671i | −0.00135301 | + | 0.000142207i | ||||
\(783\) | 1.01703 | + | 17.9417i | 0.0363455 | + | 0.641184i | ||||
\(784\) | −0.188760 | + | 1.79593i | −0.00674144 | + | 0.0641405i | ||||
\(785\) | 8.24155 | + | 7.42072i | 0.294154 | + | 0.264857i | ||||
\(786\) | −3.52777 | + | 18.2875i | −0.125831 | + | 0.652295i | ||||
\(787\) | −7.10619 | + | 33.4320i | −0.253308 | + | 1.19172i | 0.649054 | + | 0.760743i | \(0.275165\pi\) |
−0.902362 | + | 0.430979i | \(0.858168\pi\) | |||||||
\(788\) | −21.7557 | + | 4.62432i | −0.775015 | + | 0.164735i | ||||
\(789\) | −22.7107 | − | 30.0492i | −0.808524 | − | 1.06978i | ||||
\(790\) | 14.8938 | + | 4.83928i | 0.529897 | + | 0.172174i | ||||
\(791\) | −21.4961 | − | 6.98450i | −0.764313 | − | 0.248340i | ||||
\(792\) | 14.7657 | + | 12.3186i | 0.524677 | + | 0.437721i | ||||
\(793\) | 2.59776 | − | 0.552171i | 0.0922492 | − | 0.0196082i | ||||
\(794\) | 0.279221 | − | 1.31363i | 0.00990918 | − | 0.0466190i | ||||
\(795\) | 11.1084 | + | 2.14287i | 0.393975 | + | 0.0759999i | ||||
\(796\) | 14.2351 | + | 12.8173i | 0.504548 | + | 0.454297i | ||||
\(797\) | −2.12985 | + | 20.2642i | −0.0754433 | + | 0.717795i | 0.889784 | + | 0.456382i | \(0.150855\pi\) |
−0.965227 | + | 0.261413i | \(0.915812\pi\) | |||||||
\(798\) | 16.1358 | + | 6.82218i | 0.571201 | + | 0.241503i | ||||
\(799\) | −1.71605 | + | 0.180364i | −0.0607093 | + | 0.00638081i | ||||
\(800\) | 0.866025 | + | 0.500000i | 0.0306186 | + | 0.0176777i | ||||
\(801\) | −19.8120 | − | 13.2816i | −0.700023 | − | 0.469281i | ||||
\(802\) | −15.9373 | − | 21.9358i | −0.562764 | − | 0.774578i | ||||
\(803\) | 29.2109 | − | 26.3016i | 1.03083 | − | 0.928164i | ||||
\(804\) | 7.62282 | − | 4.59501i | 0.268836 | − | 0.162054i | ||||
\(805\) | − | 0.801163i | − | 0.0282373i | ||||||
\(806\) | 0.517712 | + | 1.33175i | 0.0182356 | + | 0.0469090i | ||||
\(807\) | 1.48865 | + | 6.40650i | 0.0524030 | + | 0.225519i | ||||
\(808\) | 0.122705 | + | 0.377646i | 0.00431674 | + | 0.0132855i | ||||
\(809\) | 25.3526 | + | 28.1570i | 0.891352 | + | 0.989946i | 0.999991 | − | 0.00413496i | \(-0.00131620\pi\) |
−0.108640 | + | 0.994081i | \(0.534650\pi\) | |||||||
\(810\) | 0.262948 | − | 8.99616i | 0.00923905 | − | 0.316093i | ||||
\(811\) | −15.7300 | − | 27.2451i | −0.552353 | − | 0.956704i | −0.998104 | − | 0.0615471i | \(-0.980397\pi\) |
0.445751 | − | 0.895157i | \(-0.352937\pi\) | |||||||
\(812\) | −5.13137 | + | 8.88780i | −0.180076 | + | 0.311901i | ||||
\(813\) | −2.57809 | − | 7.45288i | −0.0904176 | − | 0.261384i | ||||
\(814\) | 15.4819 | + | 11.2483i | 0.542642 | + | 0.394252i | ||||
\(815\) | −12.1548 | − | 1.27752i | −0.425763 | − | 0.0447495i | ||||
\(816\) | −0.213636 | − | 0.118024i | −0.00747876 | − | 0.00413166i | ||||
\(817\) | −0.702158 | + | 1.57707i | −0.0245654 | + | 0.0551748i | ||||
\(818\) | 30.9711 | + | 6.58311i | 1.08288 | + | 0.230173i | ||||
\(819\) | 1.41165 | + | 1.79628i | 0.0493271 | + | 0.0627671i | ||||
\(820\) | −5.25101 | + | 2.33790i | −0.183373 | + | 0.0816430i | ||||
\(821\) | 15.7652 | − | 48.5204i | 0.550210 | − | 1.69337i | −0.158059 | − | 0.987430i | \(-0.550524\pi\) |
0.708269 | − | 0.705943i | \(-0.249476\pi\) | |||||||
\(822\) | −3.17116 | + | 36.8498i | −0.110607 | + | 1.28528i | ||||
\(823\) | −20.5355 | − | 46.1234i | −0.715822 | − | 1.60776i | −0.791893 | − | 0.610660i | \(-0.790904\pi\) |
0.0760714 | − | 0.997102i | \(-0.475762\pi\) | |||||||
\(824\) | −2.13030 | − | 10.0223i | −0.0742127 | − | 0.349143i | ||||
\(825\) | −0.209538 | − | 11.1002i | −0.00729519 | − | 0.386459i | ||||
\(826\) | −4.67600 | − | 2.08189i | −0.162699 | − | 0.0724382i | ||||
\(827\) | 3.27057 | − | 3.63233i | 0.113729 | − | 0.126309i | −0.683592 | − | 0.729864i | \(-0.739583\pi\) |
0.797321 | + | 0.603556i | \(0.206250\pi\) | |||||||
\(828\) | −0.279181 | − | 0.760312i | −0.00970222 | − | 0.0264227i | ||||
\(829\) | −14.1159 | + | 19.4288i | −0.490264 | + | 0.674791i | −0.980437 | − | 0.196835i | \(-0.936934\pi\) |
0.490173 | + | 0.871625i | \(0.336934\pi\) | |||||||
\(830\) | −0.565223 | − | 5.37774i | −0.0196192 | − | 0.186664i | ||||
\(831\) | −4.68168 | + | 15.3913i | −0.162406 | + | 0.533918i | ||||
\(832\) | −0.222246 | + | 0.128314i | −0.00770499 | + | 0.00444848i | ||||
\(833\) | −0.205867 | + | 0.149571i | −0.00713287 | + | 0.00518233i | ||||
\(834\) | 10.3415 | − | 14.8139i | 0.358096 | − | 0.512964i | ||||
\(835\) | −9.89367 | + | 3.21465i | −0.342385 | + | 0.111248i | ||||
\(836\) | 21.8476 | 0.755614 | ||||||||
\(837\) | −26.5289 | − | 11.5419i | −0.916974 | − | 0.398946i | ||||
\(838\) | −13.8917 | −0.479880 | ||||||||
\(839\) | −33.9618 | + | 11.0349i | −1.17249 | + | 0.380966i | −0.829573 | − | 0.558399i | \(-0.811416\pi\) |
−0.342920 | + | 0.939365i | \(0.611416\pi\) | |||||||
\(840\) | 2.94208 | − | 4.21446i | 0.101511 | − | 0.145413i | ||||
\(841\) | 13.7851 | − | 10.0154i | 0.475347 | − | 0.345360i | ||||
\(842\) | −32.3303 | + | 18.6659i | −1.11418 | + | 0.643270i | ||||
\(843\) | 10.6464 | − | 35.0008i | 0.366683 | − | 1.20549i | ||||
\(844\) | 2.77881 | + | 26.4386i | 0.0956505 | + | 0.910054i | ||||
\(845\) | 7.60250 | − | 10.4639i | 0.261534 | − | 0.359971i | ||||
\(846\) | −12.6623 | − | 34.4840i | −0.435338 | − | 1.18558i | ||||
\(847\) | 59.7392 | − | 66.3471i | 2.05266 | − | 2.27971i | ||||
\(848\) | 5.96699 | + | 2.65668i | 0.204907 | + | 0.0912306i | ||||
\(849\) | 0.151708 | + | 8.03665i | 0.00520661 | + | 0.275817i | ||||
\(850\) | 0.0292976 | + | 0.137834i | 0.00100490 | + | 0.00472768i | ||||
\(851\) | −0.327846 | − | 0.736355i | −0.0112384 | − | 0.0252419i | ||||
\(852\) | −0.475672 | + | 5.52744i | −0.0162963 | + | 0.189367i | ||||
\(853\) | −8.85037 | + | 27.2386i | −0.303031 | + | 0.932633i | 0.677374 | + | 0.735639i | \(0.263118\pi\) |
−0.980405 | + | 0.196994i | \(0.936882\pi\) | |||||||
\(854\) | −28.0548 | + | 12.4908i | −0.960014 | + | 0.427426i | ||||
\(855\) | −6.31823 | − | 8.03975i | −0.216079 | − | 0.274954i | ||||
\(856\) | 2.35415 | + | 0.500390i | 0.0804632 | + | 0.0171030i | ||||
\(857\) | 2.19386 | − | 4.92748i | 0.0749407 | − | 0.168320i | −0.872190 | − | 0.489167i | \(-0.837301\pi\) |
0.947131 | + | 0.320847i | \(0.103968\pi\) | |||||||
\(858\) | 2.49386 | + | 1.37774i | 0.0851389 | + | 0.0470351i | ||||
\(859\) | 9.07361 | + | 0.953675i | 0.309587 | + | 0.0325390i | 0.258048 | − | 0.966132i | \(-0.416921\pi\) |
0.0515392 | + | 0.998671i | \(0.483587\pi\) | |||||||
\(860\) | 0.409753 | + | 0.297703i | 0.0139725 | + | 0.0101516i | ||||
\(861\) | 9.65804 | + | 27.9200i | 0.329145 | + | 0.951511i | ||||
\(862\) | 5.28738 | − | 9.15801i | 0.180089 | − | 0.311923i | ||||
\(863\) | −7.41453 | − | 12.8423i | −0.252394 | − | 0.437159i | 0.711791 | − | 0.702392i | \(-0.247884\pi\) |
−0.964184 | + | 0.265233i | \(0.914551\pi\) | |||||||
\(864\) | 1.32345 | − | 5.02479i | 0.0450246 | − | 0.170947i | ||||
\(865\) | 14.9851 | + | 16.6426i | 0.509508 | + | 0.565866i | ||||
\(866\) | 0.215263 | + | 0.662511i | 0.00731494 | + | 0.0225131i | ||||
\(867\) | 6.65665 | + | 28.6472i | 0.226072 | + | 0.972912i | ||||
\(868\) | −9.05737 | − | 13.8183i | −0.307427 | − | 0.469023i | ||||
\(869\) | − | 100.380i | − | 3.40514i | ||||||
\(870\) | 5.13019 | − | 3.09246i | 0.173930 | − | 0.104844i | ||||
\(871\) | 0.980026 | − | 0.882419i | 0.0332069 | − | 0.0298996i | ||||
\(872\) | −9.22007 | − | 12.6903i | −0.312231 | − | 0.429749i | ||||
\(873\) | −10.3927 | − | 6.96705i | −0.351739 | − | 0.235799i | ||||
\(874\) | −0.796936 | − | 0.460111i | −0.0269568 | − | 0.0155635i | ||||
\(875\) | −2.95121 | + | 0.310184i | −0.0997689 | + | 0.0104861i | ||||
\(876\) | −9.78303 | − | 4.13625i | −0.330538 | − | 0.139751i | ||||
\(877\) | −3.88037 | + | 36.9192i | −0.131031 | + | 1.24667i | 0.709420 | + | 0.704786i | \(0.248957\pi\) |
−0.840451 | + | 0.541888i | \(0.817710\pi\) | |||||||
\(878\) | 22.4558 | + | 20.2193i | 0.757847 | + | 0.682369i | ||||
\(879\) | 12.2790 | + | 2.36870i | 0.414162 | + | 0.0798941i | ||||
\(880\) | 1.33268 | − | 6.26976i | 0.0449246 | − | 0.211354i | ||||
\(881\) | 44.4835 | − | 9.45525i | 1.49869 | − | 0.318555i | 0.615709 | − | 0.787973i | \(-0.288870\pi\) |
0.882976 | + | 0.469418i | \(0.155536\pi\) | |||||||
\(882\) | −4.15991 | − | 3.47048i | −0.140072 | − | 0.116857i | ||||
\(883\) | −1.59190 | − | 0.517241i | −0.0535719 | − | 0.0174065i | 0.282108 | − | 0.959383i | \(-0.408966\pi\) |
−0.335680 | + | 0.941976i | \(0.608966\pi\) | |||||||
\(884\) | −0.0343924 | − | 0.0111748i | −0.00115674 | − | 0.000375848i | ||||
\(885\) | 1.80136 | + | 2.38343i | 0.0605521 | + | 0.0801181i | ||||
\(886\) | −21.7050 | + | 4.61354i | −0.729194 | + | 0.154995i | ||||
\(887\) | −4.15934 | + | 19.5682i | −0.139657 | + | 0.657035i | 0.851501 | + | 0.524352i | \(0.175692\pi\) |
−0.991159 | + | 0.132683i | \(0.957641\pi\) | |||||||
\(888\) | 0.979473 | − | 5.07747i | 0.0328690 | − | 0.170389i | ||||
\(889\) | −43.3220 | − | 39.0073i | −1.45297 | − | 1.30826i | ||||
\(890\) | −0.831069 | + | 7.90710i | −0.0278575 | + | 0.265046i | ||||
\(891\) | −55.3624 | + | 16.2162i | −1.85471 | + | 0.543262i | ||||
\(892\) | 23.4677 | − | 2.46655i | 0.785756 | − | 0.0825863i | ||||
\(893\) | −36.1450 | − | 20.8684i | −1.20955 | − | 0.698333i | ||||
\(894\) | −4.20821 | + | 3.93542i | −0.140744 | + | 0.131620i | ||||
\(895\) | 13.8195 | + | 19.0209i | 0.461934 | + | 0.635797i | ||||
\(896\) | 2.20525 | − | 1.98562i | 0.0736723 | − | 0.0663349i | ||||
\(897\) | −0.0619534 | − | 0.102777i | −0.00206856 | − | 0.00343161i | ||||
\(898\) | − | 9.76461i | − | 0.325849i | ||||||
\(899\) | −3.09301 | − | 19.0057i | −0.103158 | − | 0.633875i | ||||
\(900\) | −2.69263 | + | 1.32277i | −0.0897544 | + | 0.0440925i | ||||
\(901\) | 0.284420 | + | 0.875355i | 0.00947541 | + | 0.0291623i | ||||
\(902\) | 24.6530 | + | 27.3800i | 0.820856 | + | 0.911653i | ||||
\(903\) | 1.70507 | − | 1.96710i | 0.0567412 | − | 0.0654610i | ||||
\(904\) | 3.80836 | + | 6.59627i | 0.126664 | + | 0.219389i | ||||
\(905\) | 2.24390 | − | 3.88655i | 0.0745898 | − | 0.129193i | ||||
\(906\) | −8.92462 | + | 3.08719i | −0.296501 | + | 0.102565i | ||||
\(907\) | 39.2846 | + | 28.5419i | 1.30442 | + | 0.947719i | 0.999988 | − | 0.00481376i | \(-0.00153227\pi\) |
0.304435 | + | 0.952533i | \(0.401532\pi\) | |||||||
\(908\) | −16.3140 | − | 1.71467i | −0.541400 | − | 0.0569034i | ||||
\(909\) | −1.14602 | − | 0.325094i | −0.0380112 | − | 0.0107827i | ||||
\(910\) | 0.309743 | − | 0.695694i | 0.0102679 | − | 0.0230620i | ||||
\(911\) | 19.0303 | + | 4.04501i | 0.630500 | + | 0.134017i | 0.512068 | − | 0.858945i | \(-0.328880\pi\) |
0.118433 | + | 0.992962i | \(0.462213\pi\) | |||||||
\(912\) | −2.50257 | − | 5.34693i | −0.0828685 | − | 0.177055i | ||||
\(913\) | −31.6637 | + | 14.0976i | −1.04792 | + | 0.466562i | ||||
\(914\) | 8.82568 | − | 27.1627i | 0.291928 | − | 0.898461i | ||||
\(915\) | 17.8587 | + | 1.53686i | 0.590390 | + | 0.0508069i | ||||
\(916\) | −1.28774 | − | 2.89232i | −0.0425482 | − | 0.0955648i | ||||
\(917\) | −6.63426 | − | 31.2117i | −0.219083 | − | 1.03070i | ||||
\(918\) | 0.650979 | − | 0.335195i | 0.0214855 | − | 0.0110631i | ||||
\(919\) | 40.0269 | + | 17.8211i | 1.32037 | + | 0.587865i | 0.941321 | − | 0.337513i | \(-0.109586\pi\) |
0.379045 | + | 0.925378i | \(0.376252\pi\) | |||||||
\(920\) | −0.180654 | + | 0.200636i | −0.00595598 | + | 0.00661478i | ||||
\(921\) | 51.7328 | − | 6.42665i | 1.70465 | − | 0.211765i | ||||
\(922\) | −9.39336 | + | 12.9289i | −0.309354 | + | 0.425789i | ||||
\(923\) | 0.0859218 | + | 0.817491i | 0.00282815 | + | 0.0269081i | ||||
\(924\) | −31.5193 | − | 9.58745i | −1.03691 | − | 0.315404i | ||||
\(925\) | −2.58554 | + | 1.49276i | −0.0850121 | + | 0.0490818i | ||||
\(926\) | 11.8974 | − | 8.64399i | 0.390974 | − | 0.284059i | ||||
\(927\) | 28.5329 | + | 11.4338i | 0.937145 | + | 0.375536i | ||||
\(928\) | 3.28916 | − | 1.06871i | 0.107972 | − | 0.0350822i | ||||
\(929\) | −20.1282 | −0.660385 | −0.330192 | − | 0.943914i | \(-0.607114\pi\) | ||||
−0.330192 | + | 0.943914i | \(0.607114\pi\) | |||||||
\(930\) | 0.727233 | + | 9.61619i | 0.0238469 | + | 0.315327i | ||||
\(931\) | −6.15507 | −0.201724 | ||||||||
\(932\) | 3.93413 | − | 1.27828i | 0.128867 | − | 0.0418713i | ||||
\(933\) | −7.51995 | − | 5.24961i | −0.246192 | − | 0.171865i | ||||
\(934\) | 22.0589 | − | 16.0268i | 0.721791 | − | 0.524412i | ||||
\(935\) | 0.782222 | − | 0.451616i | 0.0255814 | − | 0.0147694i | ||||
\(936\) | 0.0515206 | − | 0.768157i | 0.00168400 | − | 0.0251080i | ||||
\(937\) | 0.954056 | + | 9.07724i | 0.0311677 | + | 0.296540i | 0.998991 | + | 0.0449100i | \(0.0143001\pi\) |
−0.967823 | + | 0.251631i | \(0.919033\pi\) | |||||||
\(938\) | −8.96323 | + | 12.3368i | −0.292660 | + | 0.402812i | ||||
\(939\) | −1.93704 | − | 15.5926i | −0.0632129 | − | 0.508847i | ||||
\(940\) | −8.19355 | + | 9.09986i | −0.267244 | + | 0.296805i | ||||
\(941\) | 2.27688 | + | 1.01373i | 0.0742241 | + | 0.0330467i | 0.443513 | − | 0.896268i | \(-0.353732\pi\) |
−0.369289 | + | 0.929315i | \(0.620399\pi\) | |||||||
\(942\) | −19.2052 | + | 0.362537i | −0.625739 | + | 0.0118121i | ||||
\(943\) | −0.322647 | − | 1.51793i | −0.0105068 | − | 0.0494307i | ||||
\(944\) | 0.701572 | + | 1.57576i | 0.0228342 | + | 0.0512865i | ||||
\(945\) | 5.58715 | + | 14.3715i | 0.181750 | + | 0.467506i | ||||
\(946\) | 1.00321 | − | 3.08758i | 0.0326173 | − | 0.100386i | ||||
\(947\) | 29.7943 | − | 13.2653i | 0.968185 | − | 0.431064i | 0.139157 | − | 0.990270i | \(-0.455561\pi\) |
0.829028 | + | 0.559206i | \(0.188894\pi\) | |||||||
\(948\) | −24.5667 | + | 11.4982i | −0.797889 | + | 0.373443i | ||||
\(949\) | −1.53933 | − | 0.327196i | −0.0499689 | − | 0.0106212i | ||||
\(950\) | −1.38634 | + | 3.11377i | −0.0449788 | + | 0.101024i | ||||
\(951\) | 13.0360 | − | 23.5966i | 0.422721 | − | 0.765172i | ||||
\(952\) | 0.415865 | + | 0.0437092i | 0.0134783 | + | 0.00141662i | ||||
\(953\) | −23.7218 | − | 17.2349i | −0.768426 | − | 0.558294i | 0.133057 | − | 0.991108i | \(-0.457521\pi\) |
−0.901483 | + | 0.432814i | \(0.857521\pi\) | |||||||
\(954\) | −16.5880 | + | 10.4310i | −0.537055 | + | 0.337716i | ||||
\(955\) | −8.17505 | + | 14.1596i | −0.264538 | + | 0.458194i | ||||
\(956\) | 4.17890 | + | 7.23806i | 0.135155 | + | 0.234096i | ||||
\(957\) | −29.0136 | − | 25.1488i | −0.937877 | − | 0.812946i | ||||
\(958\) | 10.9336 | + | 12.1430i | 0.353250 | + | 0.392323i | ||||
\(959\) | −19.5814 | − | 60.2654i | −0.632317 | − | 1.94607i | ||||
\(960\) | −1.68710 | + | 0.392025i | −0.0544510 | + | 0.0126526i | ||||
\(961\) | 29.5631 | + | 9.32873i | 0.953647 | + | 0.300927i | ||||
\(962\) | − | 0.766168i | − | 0.0247023i | ||||||
\(963\) | −5.17952 | + | 5.03034i | −0.166908 | + | 0.162100i | ||||
\(964\) | −7.88306 | + | 7.09794i | −0.253896 | + | 0.228609i | ||||
\(965\) | 7.18198 | + | 9.88515i | 0.231196 | + | 0.318214i | ||||
\(966\) | 0.947820 | + | 1.01352i | 0.0304956 | + | 0.0326095i | ||||
\(967\) | 11.6612 | + | 6.73259i | 0.374998 | + | 0.216505i | 0.675640 | − | 0.737232i | \(-0.263867\pi\) |
−0.300642 | + | 0.953737i | \(0.597201\pi\) | |||||||
\(968\) | −29.9211 | + | 3.14484i | −0.961702 | + | 0.101079i | ||||
\(969\) | 0.323960 | − | 0.766228i | 0.0104071 | − | 0.0246148i | ||||
\(970\) | −0.435950 | + | 4.14779i | −0.0139975 | + | 0.133177i | ||||
\(971\) | −32.0427 | − | 28.8514i | −1.02830 | − | 0.925885i | −0.0310146 | − | 0.999519i | \(-0.509874\pi\) |
−0.997285 | + | 0.0736335i | \(0.976541\pi\) | |||||||
\(972\) | 10.3103 | + | 11.6918i | 0.330703 | + | 0.375014i | ||||
\(973\) | −6.43543 | + | 30.2763i | −0.206310 | + | 0.970613i | ||||
\(974\) | −8.13487 | + | 1.72912i | −0.260658 | + | 0.0554046i | ||||
\(975\) | −0.354606 | + | 0.268006i | −0.0113565 | + | 0.00858307i | ||||
\(976\) | 9.84233 | + | 3.19797i | 0.315045 | + | 0.102364i | ||||
\(977\) | 14.4407 | + | 4.69206i | 0.461998 | + | 0.150112i | 0.530762 | − | 0.847521i | \(-0.321906\pi\) |
−0.0687643 | + | 0.997633i | \(0.521906\pi\) | |||||||
\(978\) | 16.8879 | − | 12.7636i | 0.540016 | − | 0.408136i | ||||
\(979\) | 49.8487 | − | 10.5957i | 1.59317 | − | 0.338639i | ||||
\(980\) | −0.375452 | + | 1.76636i | −0.0119934 | + | 0.0564244i | ||||
\(981\) | 47.0248 | − | 1.77601i | 1.50139 | − | 0.0567037i | ||||
\(982\) | 8.00689 | + | 7.20944i | 0.255510 | + | 0.230062i | ||||
\(983\) | −4.28930 | + | 40.8099i | −0.136807 | + | 1.30163i | 0.683601 | + | 0.729856i | \(0.260413\pi\) |
−0.820408 | + | 0.571779i | \(0.806254\pi\) | |||||||
\(984\) | 3.87698 | − | 9.16982i | 0.123594 | − | 0.292323i | ||||
\(985\) | −22.1199 | + | 2.32490i | −0.704799 | + | 0.0740773i | ||||
\(986\) | 0.422048 | + | 0.243670i | 0.0134408 | + | 0.00776002i | ||||
\(987\) | 42.9884 | + | 45.9683i | 1.36834 | + | 1.46319i | ||||
\(988\) | −0.514137 | − | 0.707649i | −0.0163569 | − | 0.0225133i | ||||
\(989\) | −0.101619 | + | 0.0914980i | −0.00323129 | + | 0.00290947i | ||||
\(990\) | 13.3972 | + | 13.7945i | 0.425791 | + | 0.438418i | ||||
\(991\) | 51.2431i | 1.62779i | 0.581011 | + | 0.813896i | \(0.302657\pi\) | ||||
−0.581011 | + | 0.813896i | \(0.697343\pi\) | |||||||
\(992\) | −0.847624 | + | 5.50287i | −0.0269121 | + | 0.174716i | ||||
\(993\) | 15.8603 | − | 3.68540i | 0.503312 | − | 0.116952i | ||||
\(994\) | −2.93720 | − | 9.03976i | −0.0931622 | − | 0.286724i | ||||
\(995\) | 12.8173 | + | 14.2351i | 0.406336 | + | 0.451281i | ||||
\(996\) | 7.07720 | + | 6.13448i | 0.224250 | + | 0.194378i | ||||
\(997\) | −13.0046 | − | 22.5246i | −0.411860 | − | 0.713362i | 0.583233 | − | 0.812305i | \(-0.301787\pi\) |
−0.995093 | + | 0.0989425i | \(0.968454\pi\) | |||||||
\(998\) | 12.7424 | − | 22.0705i | 0.403354 | − | 0.698630i | ||||
\(999\) | 11.0162 | + | 10.9226i | 0.348537 | + | 0.345577i |
(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 | 930.2.br.a.11.8 | ✓ | 176 | |
3.2 | odd | 2 | inner | 930.2.br.a.11.21 | yes | 176 | |
31.17 | odd | 30 | inner | 930.2.br.a.761.21 | yes | 176 | |
93.17 | even | 30 | inner | 930.2.br.a.761.8 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.br.a.11.8 | ✓ | 176 | 1.1 | even | 1 | trivial | |
930.2.br.a.11.21 | yes | 176 | 3.2 | odd | 2 | inner | |
930.2.br.a.761.8 | yes | 176 | 93.17 | even | 30 | inner | |
930.2.br.a.761.21 | yes | 176 | 31.17 | odd | 30 | inner |