Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [241,2,Mod(6,241)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(241, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("241.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 241 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 241.l (of order \(20\), 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: | \(1.92439468871\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 201.3 | ||
Character | \(\chi\) | \(=\) | 241.201 |
Dual form | 241.2.l.a.6.16 |
$q$-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 \(\left(\mathbb{Z}/241\mathbb{Z}\right)^\times\).
\(n\) | \(7\) |
\(\chi(n)\) | \(e\left(\frac{9}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.93203i | − | 1.36615i | −0.730346 | − | 0.683077i | \(-0.760641\pi\) | ||
0.730346 | − | 0.683077i | \(-0.239359\pi\) | |||||||
\(3\) | −2.99023 | + | 0.971584i | −1.72641 | + | 0.560945i | −0.992923 | − | 0.118759i | \(-0.962108\pi\) |
−0.733487 | + | 0.679704i | \(0.762108\pi\) | |||||||
\(4\) | −1.73276 | −0.866378 | ||||||||
\(5\) | −2.36656 | − | 0.768943i | −1.05836 | − | 0.343882i | −0.272415 | − | 0.962180i | \(-0.587823\pi\) |
−0.785944 | + | 0.618298i | \(0.787823\pi\) | |||||||
\(6\) | 1.87713 | + | 5.77722i | 0.766337 | + | 2.35854i | ||||
\(7\) | 0.401702 | + | 2.53625i | 0.151829 | + | 0.958612i | 0.939508 | + | 0.342526i | \(0.111283\pi\) |
−0.787679 | + | 0.616086i | \(0.788717\pi\) | |||||||
\(8\) | − | 0.516326i | − | 0.182549i | ||||||
\(9\) | 5.57044 | − | 4.04716i | 1.85681 | − | 1.34905i | ||||
\(10\) | −1.48562 | + | 4.57228i | −0.469796 | + | 1.44588i | ||||
\(11\) | 1.86326 | + | 1.86326i | 0.561795 | + | 0.561795i | 0.929817 | − | 0.368022i | \(-0.119965\pi\) |
−0.368022 | + | 0.929817i | \(0.619965\pi\) | |||||||
\(12\) | 5.18133 | − | 1.68352i | 1.49572 | − | 0.485990i | ||||
\(13\) | 5.32162 | + | 2.71150i | 1.47595 | + | 0.752035i | 0.992374 | − | 0.123267i | \(-0.0393372\pi\) |
0.483577 | + | 0.875302i | \(0.339337\pi\) | |||||||
\(14\) | 4.90012 | − | 0.776103i | 1.30961 | − | 0.207422i | ||||
\(15\) | 7.82366 | 2.02006 | ||||||||
\(16\) | −4.46307 | −1.11577 | ||||||||
\(17\) | −7.32310 | + | 1.15987i | −1.77611 | + | 0.281309i | −0.956526 | − | 0.291646i | \(-0.905797\pi\) |
−0.819587 | + | 0.572954i | \(0.805797\pi\) | |||||||
\(18\) | −7.81926 | − | 10.7623i | −1.84302 | − | 2.53670i | ||||
\(19\) | 5.30553 | + | 5.30553i | 1.21717 | + | 1.21717i | 0.968618 | + | 0.248555i | \(0.0799558\pi\) |
0.248555 | + | 0.968618i | \(0.420044\pi\) | |||||||
\(20\) | 4.10067 | + | 1.33239i | 0.916939 | + | 0.297931i | ||||
\(21\) | −3.66536 | − | 7.19368i | −0.799848 | − | 1.56979i | ||||
\(22\) | 3.59989 | − | 3.59989i | 0.767498 | − | 0.767498i | ||||
\(23\) | −1.25649 | + | 2.46600i | −0.261997 | + | 0.514198i | −0.984106 | − | 0.177581i | \(-0.943173\pi\) |
0.722109 | + | 0.691779i | \(0.243173\pi\) | |||||||
\(24\) | 0.501655 | + | 1.54393i | 0.102400 | + | 0.315154i | ||||
\(25\) | 0.964263 | + | 0.700578i | 0.192853 | + | 0.140116i | ||||
\(26\) | 5.23871 | − | 10.2815i | 1.02740 | − | 2.01638i | ||||
\(27\) | −7.18055 | + | 9.88318i | −1.38190 | + | 1.90202i | ||||
\(28\) | −0.696052 | − | 4.39470i | −0.131541 | − | 0.830520i | ||||
\(29\) | 0.710155 | + | 0.977444i | 0.131872 | + | 0.181507i | 0.869847 | − | 0.493322i | \(-0.164218\pi\) |
−0.737974 | + | 0.674829i | \(0.764218\pi\) | |||||||
\(30\) | − | 15.1156i | − | 2.75971i | ||||||
\(31\) | 0.168827 | − | 0.0267396i | 0.0303222 | − | 0.00480257i | −0.141255 | − | 0.989973i | \(-0.545114\pi\) |
0.171577 | + | 0.985171i | \(0.445114\pi\) | |||||||
\(32\) | 7.59015i | 1.34176i | ||||||||
\(33\) | −7.38190 | − | 3.76126i | −1.28502 | − | 0.654752i | ||||
\(34\) | 2.24090 | + | 14.1485i | 0.384311 | + | 2.42645i | ||||
\(35\) | 0.999577 | − | 6.31108i | 0.168959 | − | 1.06677i | ||||
\(36\) | −9.65222 | + | 7.01274i | −1.60870 | + | 1.16879i | ||||
\(37\) | −0.632493 | + | 0.322271i | −0.103981 | + | 0.0529810i | −0.505208 | − | 0.862998i | \(-0.668584\pi\) |
0.401226 | + | 0.915979i | \(0.368584\pi\) | |||||||
\(38\) | 10.2505 | − | 10.2505i | 1.66285 | − | 1.66285i | ||||
\(39\) | −18.5473 | − | 2.93760i | −2.96995 | − | 0.470393i | ||||
\(40\) | −0.397025 | + | 1.22192i | −0.0627752 | + | 0.193202i | ||||
\(41\) | −4.44598 | + | 6.11936i | −0.694345 | + | 0.955684i | 0.305649 | + | 0.952144i | \(0.401127\pi\) |
−0.999994 | + | 0.00353957i | \(0.998873\pi\) | |||||||
\(42\) | −13.8984 | + | 7.08161i | −2.14457 | + | 1.09272i | ||||
\(43\) | 0.812168 | − | 5.12783i | 0.123854 | − | 0.781986i | −0.845075 | − | 0.534648i | \(-0.820444\pi\) |
0.968929 | − | 0.247338i | \(-0.0795558\pi\) | |||||||
\(44\) | −3.22858 | − | 3.22858i | −0.486726 | − | 0.486726i | ||||
\(45\) | −16.2948 | + | 5.29452i | −2.42909 | + | 0.789260i | ||||
\(46\) | 4.76441 | + | 2.42759i | 0.702473 | + | 0.357928i | ||||
\(47\) | 3.33251 | + | 4.58681i | 0.486097 | + | 0.669055i | 0.979662 | − | 0.200654i | \(-0.0643067\pi\) |
−0.493565 | + | 0.869709i | \(0.664307\pi\) | |||||||
\(48\) | 13.3456 | − | 4.33625i | 1.92627 | − | 0.625884i | ||||
\(49\) | 0.386199 | − | 0.125484i | 0.0551712 | − | 0.0179262i | ||||
\(50\) | 1.35354 | − | 1.86299i | 0.191420 | − | 0.263466i | ||||
\(51\) | 20.7709 | − | 10.5833i | 2.90850 | − | 1.48196i | ||||
\(52\) | −9.22106 | − | 4.69836i | −1.27873 | − | 0.651546i | ||||
\(53\) | 3.88249 | + | 5.34379i | 0.533302 | + | 0.734027i | 0.987629 | − | 0.156808i | \(-0.0501204\pi\) |
−0.454328 | + | 0.890835i | \(0.650120\pi\) | |||||||
\(54\) | 19.0946 | + | 13.8731i | 2.59845 | + | 1.88789i | ||||
\(55\) | −2.97678 | − | 5.84227i | −0.401390 | − | 0.787771i | ||||
\(56\) | 1.30953 | − | 0.207410i | 0.174994 | − | 0.0277163i | ||||
\(57\) | −21.0195 | − | 10.7100i | −2.78411 | − | 1.41857i | ||||
\(58\) | 1.88846 | − | 1.37204i | 0.247966 | − | 0.180158i | ||||
\(59\) | 5.43320 | + | 1.76535i | 0.707343 | + | 0.229830i | 0.640527 | − | 0.767936i | \(-0.278716\pi\) |
0.0668157 | + | 0.997765i | \(0.478716\pi\) | |||||||
\(60\) | −13.5565 | −1.75013 | ||||||||
\(61\) | 1.43395 | − | 0.465918i | 0.183598 | − | 0.0596547i | −0.215775 | − | 0.976443i | \(-0.569228\pi\) |
0.399373 | + | 0.916788i | \(0.369228\pi\) | |||||||
\(62\) | −0.0516617 | − | 0.326179i | −0.00656105 | − | 0.0414248i | ||||
\(63\) | 12.5023 | + | 12.5023i | 1.57514 | + | 1.57514i | ||||
\(64\) | 5.73829 | 0.717286 | ||||||||
\(65\) | −10.5090 | − | 10.5090i | −1.30348 | − | 1.30348i | ||||
\(66\) | −7.26689 | + | 14.2621i | −0.894492 | + | 1.75554i | ||||
\(67\) | −6.82374 | + | 9.39207i | −0.833652 | + | 1.14742i | 0.153580 | + | 0.988136i | \(0.450920\pi\) |
−0.987232 | + | 0.159288i | \(0.949080\pi\) | |||||||
\(68\) | 12.6891 | − | 2.00976i | 1.53879 | − | 0.243720i | ||||
\(69\) | 1.36127 | − | 8.59471i | 0.163877 | − | 1.03468i | ||||
\(70\) | −12.1932 | − | 1.93122i | −1.45737 | − | 0.230825i | ||||
\(71\) | 0.676710 | − | 4.27258i | 0.0803107 | − | 0.507062i | −0.914439 | − | 0.404724i | \(-0.867368\pi\) |
0.994750 | − | 0.102338i | \(-0.0326323\pi\) | |||||||
\(72\) | −2.08966 | − | 2.87617i | −0.246268 | − | 0.338959i | ||||
\(73\) | −4.74261 | + | 2.41648i | −0.555081 | + | 0.282828i | −0.708944 | − | 0.705264i | \(-0.750828\pi\) |
0.153864 | + | 0.988092i | \(0.450828\pi\) | |||||||
\(74\) | 0.622639 | + | 1.22200i | 0.0723803 | + | 0.142054i | ||||
\(75\) | −3.56404 | − | 1.15803i | −0.411540 | − | 0.133717i | ||||
\(76\) | −9.19319 | − | 9.19319i | −1.05453 | − | 1.05453i | ||||
\(77\) | −3.97722 | + | 5.47417i | −0.453246 | + | 0.623840i | ||||
\(78\) | −5.67555 | + | 35.8340i | −0.642630 | + | 4.05740i | ||||
\(79\) | 3.98405 | + | 1.29450i | 0.448241 | + | 0.145642i | 0.524435 | − | 0.851451i | \(-0.324277\pi\) |
−0.0761937 | + | 0.997093i | \(0.524277\pi\) | |||||||
\(80\) | 10.5621 | + | 3.43185i | 1.18088 | + | 0.383692i | ||||
\(81\) | 5.48599 | − | 16.8841i | 0.609555 | − | 1.87602i | ||||
\(82\) | 11.8228 | + | 8.58978i | 1.30561 | + | 0.948582i | ||||
\(83\) | −0.628974 | + | 1.93578i | −0.0690388 | + | 0.212480i | −0.979623 | − | 0.200843i | \(-0.935632\pi\) |
0.910585 | + | 0.413323i | \(0.135632\pi\) | |||||||
\(84\) | 6.35118 | + | 12.4649i | 0.692970 | + | 1.36003i | ||||
\(85\) | 18.2225 | + | 2.88615i | 1.97650 | + | 0.313047i | ||||
\(86\) | −9.90713 | − | 1.56914i | −1.06831 | − | 0.169204i | ||||
\(87\) | −3.07320 | − | 2.23281i | −0.329481 | − | 0.239382i | ||||
\(88\) | 0.962051 | − | 0.962051i | 0.102555 | − | 0.102555i | ||||
\(89\) | 1.74884 | − | 1.74884i | 0.185377 | − | 0.185377i | −0.608317 | − | 0.793694i | \(-0.708155\pi\) |
0.793694 | + | 0.608317i | \(0.208155\pi\) | |||||||
\(90\) | 10.2292 | + | 31.4822i | 1.07825 | + | 3.31851i | ||||
\(91\) | −4.73933 | + | 14.5862i | −0.496817 | + | 1.52905i | ||||
\(92\) | 2.17719 | − | 4.27298i | 0.226988 | − | 0.445489i | ||||
\(93\) | −0.478851 | + | 0.243987i | −0.0496546 | + | 0.0253003i | ||||
\(94\) | 8.86187 | − | 6.43852i | 0.914032 | − | 0.664083i | ||||
\(95\) | −8.47623 | − | 16.6355i | −0.869643 | − | 1.70677i | ||||
\(96\) | −7.37447 | − | 22.6963i | −0.752654 | − | 2.31643i | ||||
\(97\) | −1.15341 | + | 0.838004i | −0.117111 | + | 0.0850864i | −0.644799 | − | 0.764352i | \(-0.723059\pi\) |
0.527688 | + | 0.849438i | \(0.323059\pi\) | |||||||
\(98\) | −0.242438 | − | 0.746149i | −0.0244900 | − | 0.0753724i | ||||
\(99\) | 17.9201 | + | 2.83827i | 1.80104 | + | 0.285257i | ||||
\(100\) | −1.67083 | − | 1.21393i | −0.167083 | − | 0.121393i | ||||
\(101\) | 0.702961 | − | 4.43832i | 0.0699472 | − | 0.441629i | −0.927715 | − | 0.373289i | \(-0.878230\pi\) |
0.997662 | − | 0.0683397i | \(-0.0217702\pi\) | |||||||
\(102\) | −20.4473 | − | 40.1300i | −2.02458 | − | 3.97346i | ||||
\(103\) | −18.2960 | − | 2.89780i | −1.80276 | − | 0.285529i | −0.837424 | − | 0.546553i | \(-0.815940\pi\) |
−0.965332 | + | 0.261025i | \(0.915940\pi\) | |||||||
\(104\) | 1.40002 | − | 2.74769i | 0.137283 | − | 0.269433i | ||||
\(105\) | 3.14278 | + | 19.8428i | 0.306704 | + | 1.93645i | ||||
\(106\) | 10.3244 | − | 7.50111i | 1.00279 | − | 0.728572i | ||||
\(107\) | 4.72019 | + | 3.42942i | 0.456318 | + | 0.331534i | 0.792085 | − | 0.610411i | \(-0.208996\pi\) |
−0.335767 | + | 0.941945i | \(0.608996\pi\) | |||||||
\(108\) | 12.4421 | − | 17.1251i | 1.19725 | − | 1.64787i | ||||
\(109\) | −7.23267 | − | 3.68523i | −0.692764 | − | 0.352981i | 0.0718985 | − | 0.997412i | \(-0.477094\pi\) |
−0.764662 | + | 0.644431i | \(0.777094\pi\) | |||||||
\(110\) | −11.2875 | + | 5.75125i | −1.07622 | + | 0.548360i | ||||
\(111\) | 1.57818 | − | 1.57818i | 0.149795 | − | 0.149795i | ||||
\(112\) | −1.79283 | − | 11.3195i | −0.169406 | − | 1.06959i | ||||
\(113\) | − | 12.2842i | − | 1.15560i | −0.816177 | − | 0.577802i | \(-0.803911\pi\) | ||
0.816177 | − | 0.577802i | \(-0.196089\pi\) | |||||||
\(114\) | −20.6921 | + | 40.6105i | −1.93799 | + | 3.80352i | ||||
\(115\) | 4.86979 | − | 4.86979i | 0.454110 | − | 0.454110i | ||||
\(116\) | −1.23052 | − | 1.69367i | −0.114251 | − | 0.157253i | ||||
\(117\) | 40.6176 | − | 6.43320i | 3.75510 | − | 0.594750i | ||||
\(118\) | 3.41072 | − | 10.4971i | 0.313983 | − | 0.966339i | ||||
\(119\) | −5.88342 | − | 18.1073i | −0.539332 | − | 1.65989i | ||||
\(120\) | − | 4.03956i | − | 0.368760i | ||||||
\(121\) | − | 4.05651i | − | 0.368774i | ||||||
\(122\) | −0.900170 | − | 2.77044i | −0.0814976 | − | 0.250824i | ||||
\(123\) | 7.34901 | − | 22.6179i | 0.662638 | − | 2.03939i | ||||
\(124\) | −0.292536 | + | 0.0463331i | −0.0262705 | + | 0.00416084i | ||||
\(125\) | 5.56980 | + | 7.66617i | 0.498178 | + | 0.685683i | ||||
\(126\) | 24.1548 | − | 24.1548i | 2.15188 | − | 2.15188i | ||||
\(127\) | 2.96702 | − | 5.82311i | 0.263281 | − | 0.516718i | −0.721087 | − | 0.692845i | \(-0.756357\pi\) |
0.984367 | + | 0.176127i | \(0.0563570\pi\) | |||||||
\(128\) | 4.09373i | 0.361838i | ||||||||
\(129\) | 2.55355 | + | 16.1225i | 0.224827 | + | 1.41950i | ||||
\(130\) | −20.3037 | + | 20.3037i | −1.78075 | + | 1.78075i | ||||
\(131\) | 1.60167 | − | 0.816092i | 0.139939 | − | 0.0713023i | −0.382619 | − | 0.923906i | \(-0.624978\pi\) |
0.522558 | + | 0.852604i | \(0.324978\pi\) | |||||||
\(132\) | 12.7910 | + | 6.51735i | 1.11332 | + | 0.567262i | ||||
\(133\) | −11.3249 | + | 15.5874i | −0.981995 | + | 1.35160i | ||||
\(134\) | 18.1458 | + | 13.1837i | 1.56756 | + | 1.13890i | ||||
\(135\) | 24.5928 | − | 17.8677i | 2.11661 | − | 1.53781i | ||||
\(136\) | 0.598869 | + | 3.78111i | 0.0513526 | + | 0.324228i | ||||
\(137\) | −0.662428 | + | 1.30009i | −0.0565950 | + | 0.111074i | −0.917572 | − | 0.397571i | \(-0.869853\pi\) |
0.860977 | + | 0.508645i | \(0.169853\pi\) | |||||||
\(138\) | −16.6053 | − | 2.63002i | −1.41353 | − | 0.223882i | ||||
\(139\) | 1.69648 | + | 3.32954i | 0.143894 | + | 0.282408i | 0.951694 | − | 0.307050i | \(-0.0993417\pi\) |
−0.807800 | + | 0.589457i | \(0.799342\pi\) | |||||||
\(140\) | −1.73202 | + | 10.9356i | −0.146383 | + | 0.924223i | ||||
\(141\) | −14.4214 | − | 10.4778i | −1.21450 | − | 0.882389i | ||||
\(142\) | −8.25477 | − | 1.30743i | −0.692725 | − | 0.109717i | ||||
\(143\) | 4.86333 | + | 14.9678i | 0.406692 | + | 1.25167i | ||||
\(144\) | −24.8613 | + | 18.0628i | −2.07177 | + | 1.50523i | ||||
\(145\) | −0.929027 | − | 2.85925i | −0.0771515 | − | 0.237448i | ||||
\(146\) | 4.66872 | + | 9.16289i | 0.386386 | + | 0.758326i | ||||
\(147\) | −1.03290 | + | 0.750449i | −0.0851925 | + | 0.0618960i | ||||
\(148\) | 1.09595 | − | 0.558417i | 0.0900869 | − | 0.0459016i | ||||
\(149\) | 0.257060 | − | 0.504508i | 0.0210592 | − | 0.0413309i | −0.880237 | − | 0.474534i | \(-0.842617\pi\) |
0.901296 | + | 0.433203i | \(0.142617\pi\) | |||||||
\(150\) | −2.23735 | + | 6.88584i | −0.182679 | + | 0.562227i | ||||
\(151\) | 1.97192 | + | 6.06895i | 0.160473 | + | 0.493884i | 0.998674 | − | 0.0514765i | \(-0.0163927\pi\) |
−0.838202 | + | 0.545361i | \(0.816393\pi\) | |||||||
\(152\) | 2.73939 | − | 2.73939i | 0.222194 | − | 0.222194i | ||||
\(153\) | −36.0988 | + | 36.0988i | −2.91841 | + | 2.91841i | ||||
\(154\) | 10.5763 | + | 7.68412i | 0.852262 | + | 0.619204i | ||||
\(155\) | −0.420101 | − | 0.0665374i | −0.0337433 | − | 0.00534441i | ||||
\(156\) | 32.1379 | + | 5.09015i | 2.57309 | + | 0.407538i | ||||
\(157\) | −9.57091 | − | 18.7840i | −0.763842 | − | 1.49912i | −0.863636 | − | 0.504116i | \(-0.831818\pi\) |
0.0997942 | − | 0.995008i | \(-0.468182\pi\) | |||||||
\(158\) | 2.50101 | − | 7.69732i | 0.198970 | − | 0.612366i | ||||
\(159\) | −16.8015 | − | 12.2070i | −1.33245 | − | 0.968078i | ||||
\(160\) | 5.83639 | − | 17.9626i | 0.461407 | − | 1.42007i | ||||
\(161\) | −6.75914 | − | 2.19618i | −0.532695 | − | 0.173083i | ||||
\(162\) | −32.6207 | − | 10.5991i | −2.56293 | − | 0.832746i | ||||
\(163\) | −3.11107 | + | 19.6425i | −0.243678 | + | 1.53852i | 0.497648 | + | 0.867379i | \(0.334197\pi\) |
−0.741327 | + | 0.671144i | \(0.765803\pi\) | |||||||
\(164\) | 7.70379 | − | 10.6034i | 0.601565 | − | 0.827983i | ||||
\(165\) | 14.5775 | + | 14.5775i | 1.13486 | + | 1.13486i | ||||
\(166\) | 3.74000 | + | 1.21520i | 0.290280 | + | 0.0943177i | ||||
\(167\) | 4.41912 | + | 8.67300i | 0.341962 | + | 0.671137i | 0.996381 | − | 0.0849940i | \(-0.0270871\pi\) |
−0.654420 | + | 0.756131i | \(0.727087\pi\) | |||||||
\(168\) | −3.71429 | + | 1.89252i | −0.286563 | + | 0.146011i | ||||
\(169\) | 13.3262 | + | 18.3419i | 1.02509 | + | 1.41091i | ||||
\(170\) | 5.57615 | − | 35.2064i | 0.427671 | − | 2.70021i | ||||
\(171\) | 51.0266 | + | 8.08181i | 3.90210 | + | 0.618032i | ||||
\(172\) | −1.40729 | + | 8.88527i | −0.107305 | + | 0.677495i | ||||
\(173\) | −2.25736 | + | 0.357531i | −0.171624 | + | 0.0271826i | −0.241655 | − | 0.970362i | \(-0.577690\pi\) |
0.0700309 | + | 0.997545i | \(0.477690\pi\) | |||||||
\(174\) | −4.31386 | + | 5.93752i | −0.327033 | + | 0.450122i | ||||
\(175\) | −1.38949 | + | 2.72704i | −0.105036 | + | 0.206145i | ||||
\(176\) | −8.31587 | − | 8.31587i | −0.626832 | − | 0.626832i | ||||
\(177\) | −17.9617 | −1.35008 | ||||||||
\(178\) | −3.37882 | − | 3.37882i | −0.253253 | − | 0.253253i | ||||
\(179\) | 1.85876 | + | 11.7357i | 0.138930 | + | 0.877169i | 0.954435 | + | 0.298419i | \(0.0964593\pi\) |
−0.815505 | + | 0.578750i | \(0.803541\pi\) | |||||||
\(180\) | 28.2350 | − | 9.17410i | 2.10451 | − | 0.683797i | ||||
\(181\) | −3.70128 | −0.275114 | −0.137557 | − | 0.990494i | \(-0.543925\pi\) | ||||
−0.137557 | + | 0.990494i | \(0.543925\pi\) | |||||||
\(182\) | 28.1810 | + | 9.15655i | 2.08891 | + | 0.678729i | ||||
\(183\) | −3.83516 | + | 2.78641i | −0.283503 | + | 0.205977i | ||||
\(184\) | 1.27326 | + | 0.648760i | 0.0938662 | + | 0.0478272i | ||||
\(185\) | 1.74464 | − | 0.276324i | 0.128269 | − | 0.0203158i | ||||
\(186\) | 0.471391 | + | 0.925157i | 0.0345641 | + | 0.0678358i | ||||
\(187\) | −15.8060 | − | 11.4837i | −1.15585 | − | 0.839773i | ||||
\(188\) | −5.77443 | − | 7.94782i | −0.421143 | − | 0.579654i | ||||
\(189\) | −27.9507 | − | 14.2416i | −2.03311 | − | 1.03592i | ||||
\(190\) | −32.1404 | + | 16.3764i | −2.33171 | + | 1.18807i | ||||
\(191\) | −2.22406 | + | 3.06116i | −0.160927 | + | 0.221498i | −0.881864 | − | 0.471503i | \(-0.843712\pi\) |
0.720937 | + | 0.693001i | \(0.243712\pi\) | |||||||
\(192\) | −17.1588 | + | 5.57523i | −1.23833 | + | 0.402358i | ||||
\(193\) | 12.6528 | − | 4.11113i | 0.910765 | − | 0.295926i | 0.184092 | − | 0.982909i | \(-0.441065\pi\) |
0.726673 | + | 0.686983i | \(0.241065\pi\) | |||||||
\(194\) | 1.61905 | + | 2.22843i | 0.116241 | + | 0.159992i | ||||
\(195\) | 41.6345 | + | 21.2138i | 2.98151 | + | 1.51916i | ||||
\(196\) | −0.669188 | + | 0.217432i | −0.0477991 | + | 0.0155309i | ||||
\(197\) | 7.72037 | + | 7.72037i | 0.550054 | + | 0.550054i | 0.926456 | − | 0.376402i | \(-0.122839\pi\) |
−0.376402 | + | 0.926456i | \(0.622839\pi\) | |||||||
\(198\) | 5.48363 | − | 34.6223i | 0.389705 | − | 2.46050i | ||||
\(199\) | −7.71059 | + | 3.92874i | −0.546590 | + | 0.278501i | −0.705402 | − | 0.708807i | \(-0.749233\pi\) |
0.158812 | + | 0.987309i | \(0.449233\pi\) | |||||||
\(200\) | 0.361727 | − | 0.497874i | 0.0255780 | − | 0.0352050i | ||||
\(201\) | 11.2794 | − | 34.7143i | 0.795584 | − | 2.44856i | ||||
\(202\) | −8.57498 | − | 1.35814i | −0.603334 | − | 0.0955587i | ||||
\(203\) | −2.19377 | + | 2.19377i | −0.153973 | + | 0.153973i | ||||
\(204\) | −35.9908 | + | 18.3382i | −2.51986 | + | 1.28393i | ||||
\(205\) | 15.2271 | − | 11.0632i | 1.06351 | − | 0.772684i | ||||
\(206\) | −5.59865 | + | 35.3485i | −0.390076 | + | 2.46284i | ||||
\(207\) | 2.98111 | + | 18.8220i | 0.207201 | + | 1.30822i | ||||
\(208\) | −23.7507 | − | 12.1016i | −1.64682 | − | 0.839096i | ||||
\(209\) | 19.7712i | 1.36760i | ||||||||
\(210\) | 38.3369 | − | 6.07196i | 2.64550 | − | 0.419005i | ||||
\(211\) | − | 4.83455i | − | 0.332824i | −0.986056 | − | 0.166412i | \(-0.946782\pi\) | ||
0.986056 | − | 0.166412i | \(-0.0532182\pi\) | |||||||
\(212\) | −6.72741 | − | 9.25949i | −0.462040 | − | 0.635944i | ||||
\(213\) | 2.12765 | + | 13.4335i | 0.145784 | + | 0.920446i | ||||
\(214\) | 6.62575 | − | 9.11956i | 0.452927 | − | 0.623400i | ||||
\(215\) | −5.86505 | + | 11.5108i | −0.399993 | + | 0.785031i | ||||
\(216\) | 5.10295 | + | 3.70751i | 0.347212 | + | 0.252264i | ||||
\(217\) | 0.135636 | + | 0.417446i | 0.00920760 | + | 0.0283381i | ||||
\(218\) | −7.11999 | + | 13.9738i | −0.482226 | + | 0.946422i | ||||
\(219\) | 11.8337 | − | 11.8337i | 0.799646 | − | 0.799646i | ||||
\(220\) | 5.15804 | + | 10.1232i | 0.347755 | + | 0.682507i | ||||
\(221\) | −42.1157 | − | 13.6842i | −2.83301 | − | 0.920501i | ||||
\(222\) | −3.04911 | − | 3.04911i | −0.204643 | − | 0.204643i | ||||
\(223\) | −8.30870 | − | 11.4360i | −0.556392 | − | 0.765808i | 0.434470 | − | 0.900686i | \(-0.356936\pi\) |
−0.990862 | + | 0.134878i | \(0.956936\pi\) | |||||||
\(224\) | −19.2505 | + | 3.04898i | −1.28623 | + | 0.203719i | ||||
\(225\) | 8.20673 | 0.547115 | ||||||||
\(226\) | −23.7335 | −1.57873 | ||||||||
\(227\) | 28.0992 | − | 4.45047i | 1.86501 | − | 0.295388i | 0.880946 | − | 0.473218i | \(-0.156908\pi\) |
0.984061 | + | 0.177830i | \(0.0569076\pi\) | |||||||
\(228\) | 36.4217 | + | 18.5578i | 2.41209 | + | 1.22902i | ||||
\(229\) | 15.1820 | − | 4.93293i | 1.00325 | − | 0.325977i | 0.239089 | − | 0.970998i | \(-0.423151\pi\) |
0.764165 | + | 0.645020i | \(0.223151\pi\) | |||||||
\(230\) | −9.40859 | − | 9.40859i | −0.620384 | − | 0.620384i | ||||
\(231\) | 6.57418 | − | 20.2332i | 0.432549 | − | 1.33125i | ||||
\(232\) | 0.504680 | − | 0.366672i | 0.0331339 | − | 0.0240732i | ||||
\(233\) | 10.3564i | 0.678473i | 0.940701 | + | 0.339237i | \(0.110169\pi\) | ||||
−0.940701 | + | 0.339237i | \(0.889831\pi\) | |||||||
\(234\) | −12.4292 | − | 78.4747i | −0.812520 | − | 5.13005i | ||||
\(235\) | −4.35960 | − | 13.4175i | −0.284389 | − | 0.875260i | ||||
\(236\) | −9.41441 | − | 3.05893i | −0.612826 | − | 0.199119i | ||||
\(237\) | −13.1709 | −0.855545 | ||||||||
\(238\) | −34.9839 | + | 11.3670i | −2.26767 | + | 0.736811i | ||||
\(239\) | 1.73990i | 0.112545i | 0.998415 | + | 0.0562723i | \(0.0179215\pi\) | ||||
−0.998415 | + | 0.0562723i | \(0.982078\pi\) | |||||||
\(240\) | −34.9175 | −2.25392 | ||||||||
\(241\) | −15.4554 | − | 1.46012i | −0.995567 | − | 0.0940543i | ||||
\(242\) | −7.83732 | −0.503802 | ||||||||
\(243\) | 19.1687i | 1.22967i | ||||||||
\(244\) | −2.48468 | + | 0.807322i | −0.159065 | + | 0.0516835i | ||||
\(245\) | −1.01045 | −0.0645555 | ||||||||
\(246\) | −43.6986 | − | 14.1985i | −2.78612 | − | 0.905266i | ||||
\(247\) | 13.8481 | + | 42.6200i | 0.881132 | + | 2.71184i | ||||
\(248\) | −0.0138063 | − | 0.0871698i | −0.000876703 | − | 0.00553529i | ||||
\(249\) | − | 6.39953i | − | 0.405554i | ||||||
\(250\) | 14.8113 | − | 10.7610i | 0.936749 | − | 0.680588i | ||||
\(251\) | 0.516295 | − | 1.58899i | 0.0325882 | − | 0.100296i | −0.933439 | − | 0.358735i | \(-0.883208\pi\) |
0.966028 | + | 0.258439i | \(0.0832081\pi\) | |||||||
\(252\) | −21.6634 | − | 21.6634i | −1.36467 | − | 1.36467i | ||||
\(253\) | −6.93599 | + | 2.25364i | −0.436062 | + | 0.141685i | ||||
\(254\) | −11.2505 | − | 5.73239i | −0.705916 | − | 0.359682i | ||||
\(255\) | −57.2935 | + | 9.07440i | −3.58786 | + | 0.568261i | ||||
\(256\) | 19.3858 | 1.21161 | ||||||||
\(257\) | −5.53913 | −0.345522 | −0.172761 | − | 0.984964i | \(-0.555269\pi\) | ||||
−0.172761 | + | 0.984964i | \(0.555269\pi\) | |||||||
\(258\) | 31.1491 | − | 4.93354i | 1.93926 | − | 0.307149i | ||||
\(259\) | −1.07143 | − | 1.47470i | −0.0665757 | − | 0.0916335i | ||||
\(260\) | 18.2094 | + | 18.2094i | 1.12930 | + | 1.12930i | ||||
\(261\) | 7.91175 | + | 2.57068i | 0.489725 | + | 0.159121i | ||||
\(262\) | −1.57672 | − | 3.09448i | −0.0974100 | − | 0.191178i | ||||
\(263\) | 21.8709 | − | 21.8709i | 1.34862 | − | 1.34862i | 0.461448 | − | 0.887167i | \(-0.347330\pi\) |
0.887167 | − | 0.461448i | \(-0.152670\pi\) | |||||||
\(264\) | −1.94204 | + | 3.81147i | −0.119524 | + | 0.234580i | ||||
\(265\) | −5.07909 | − | 15.6318i | −0.312006 | − | 0.960257i | ||||
\(266\) | 30.1154 | + | 21.8801i | 1.84649 | + | 1.34156i | ||||
\(267\) | −3.53029 | + | 6.92858i | −0.216050 | + | 0.424022i | ||||
\(268\) | 11.8239 | − | 16.2742i | 0.722258 | − | 0.994102i | ||||
\(269\) | 3.74012 | + | 23.6142i | 0.228039 | + | 1.43978i | 0.790248 | + | 0.612787i | \(0.209951\pi\) |
−0.562210 | + | 0.826995i | \(0.690049\pi\) | |||||||
\(270\) | −34.5211 | − | 47.5142i | −2.10089 | − | 2.89162i | ||||
\(271\) | 7.34022i | 0.445887i | 0.974831 | + | 0.222943i | \(0.0715665\pi\) | ||||
−0.974831 | + | 0.222943i | \(0.928433\pi\) | |||||||
\(272\) | 32.6835 | − | 5.17656i | 1.98173 | − | 0.313875i | ||||
\(273\) | − | 48.2206i | − | 2.91845i | ||||||
\(274\) | 2.51181 | + | 1.27983i | 0.151744 | + | 0.0773175i | ||||
\(275\) | 0.491314 | + | 3.10204i | 0.0296274 | + | 0.187060i | ||||
\(276\) | −2.35874 | + | 14.8925i | −0.141980 | + | 0.896425i | ||||
\(277\) | 16.7823 | − | 12.1931i | 1.00835 | − | 0.732611i | 0.0444902 | − | 0.999010i | \(-0.485834\pi\) |
0.963863 | + | 0.266398i | \(0.0858337\pi\) | |||||||
\(278\) | 6.43278 | − | 3.27766i | 0.385812 | − | 0.196581i | ||||
\(279\) | 0.832222 | − | 0.832222i | 0.0498238 | − | 0.0498238i | ||||
\(280\) | −3.25858 | − | 0.516108i | −0.194737 | − | 0.0308433i | ||||
\(281\) | 4.88416 | − | 15.0319i | 0.291365 | − | 0.896729i | −0.693054 | − | 0.720886i | \(-0.743735\pi\) |
0.984418 | − | 0.175842i | \(-0.0562649\pi\) | |||||||
\(282\) | −20.2435 | + | 27.8627i | −1.20548 | + | 1.65920i | ||||
\(283\) | 5.26450 | − | 2.68239i | 0.312942 | − | 0.159452i | −0.290464 | − | 0.956886i | \(-0.593810\pi\) |
0.603406 | + | 0.797434i | \(0.293810\pi\) | |||||||
\(284\) | −1.17257 | + | 7.40333i | −0.0695794 | + | 0.439307i | ||||
\(285\) | 41.5087 | + | 41.5087i | 2.45876 | + | 2.45876i | ||||
\(286\) | 28.9183 | − | 9.39612i | 1.70997 | − | 0.555604i | ||||
\(287\) | −17.3062 | − | 8.81794i | −1.02155 | − | 0.520507i | ||||
\(288\) | 30.7186 | + | 42.2805i | 1.81011 | + | 2.49140i | ||||
\(289\) | 36.1146 | − | 11.7343i | 2.12439 | − | 0.690256i | ||||
\(290\) | −5.52417 | + | 1.79491i | −0.324391 | + | 0.105401i | ||||
\(291\) | 2.63478 | − | 3.62646i | 0.154454 | − | 0.212587i | ||||
\(292\) | 8.21778 | − | 4.18717i | 0.480909 | − | 0.245036i | ||||
\(293\) | −17.7626 | − | 9.05051i | −1.03770 | − | 0.528736i | −0.149776 | − | 0.988720i | \(-0.547855\pi\) |
−0.887927 | + | 0.459984i | \(0.847855\pi\) | |||||||
\(294\) | 1.44989 | + | 1.99561i | 0.0845595 | + | 0.116386i | ||||
\(295\) | −11.5006 | − | 8.35564i | −0.669588 | − | 0.486484i | ||||
\(296\) | 0.166397 | + | 0.326573i | 0.00967163 | + | 0.0189816i | ||||
\(297\) | −31.7942 | + | 5.03571i | −1.84489 | + | 0.292201i | ||||
\(298\) | −0.974727 | − | 0.496648i | −0.0564644 | − | 0.0287701i | ||||
\(299\) | −13.3731 | + | 9.71615i | −0.773389 | + | 0.561900i | ||||
\(300\) | 6.17561 | + | 2.00658i | 0.356549 | + | 0.115850i | ||||
\(301\) | 13.3317 | 0.768426 | ||||||||
\(302\) | 11.7254 | − | 3.80982i | 0.674722 | − | 0.219230i | ||||
\(303\) | 2.21019 | + | 13.9546i | 0.126972 | + | 0.801669i | ||||
\(304\) | −23.6790 | − | 23.6790i | −1.35808 | − | 1.35808i | ||||
\(305\) | −3.75180 | −0.214827 | ||||||||
\(306\) | 69.7441 | + | 69.7441i | 3.98700 | + | 3.98700i | ||||
\(307\) | 7.71982 | − | 15.1510i | 0.440593 | − | 0.864713i | −0.558780 | − | 0.829316i | \(-0.688730\pi\) |
0.999373 | − | 0.0353972i | \(-0.0112696\pi\) | |||||||
\(308\) | 6.89155 | − | 9.48540i | 0.392682 | − | 0.540481i | ||||
\(309\) | 57.5246 | − | 9.11101i | 3.27246 | − | 0.518307i | ||||
\(310\) | −0.128553 | + | 0.811649i | −0.00730130 | + | 0.0460986i | ||||
\(311\) | −26.3528 | − | 4.17388i | −1.49433 | − | 0.236679i | −0.644856 | − | 0.764304i | \(-0.723083\pi\) |
−0.849477 | + | 0.527625i | \(0.823083\pi\) | |||||||
\(312\) | −1.51676 | + | 9.57646i | −0.0858698 | + | 0.542160i | ||||
\(313\) | −4.75285 | − | 6.54173i | −0.268647 | − | 0.369760i | 0.653286 | − | 0.757112i | \(-0.273390\pi\) |
−0.921932 | + | 0.387351i | \(0.873390\pi\) | |||||||
\(314\) | −36.2913 | + | 18.4913i | −2.04803 | + | 1.04353i | ||||
\(315\) | −19.9739 | − | 39.2010i | −1.12540 | − | 2.20872i | ||||
\(316\) | −6.90339 | − | 2.24305i | −0.388346 | − | 0.126181i | ||||
\(317\) | 3.23268 | + | 3.23268i | 0.181565 | + | 0.181565i | 0.792038 | − | 0.610472i | \(-0.209020\pi\) |
−0.610472 | + | 0.792038i | \(0.709020\pi\) | |||||||
\(318\) | −23.5843 | + | 32.4611i | −1.32254 | + | 1.82033i | ||||
\(319\) | −0.498030 | + | 3.14444i | −0.0278843 | + | 0.176055i | ||||
\(320\) | −13.5800 | − | 4.41242i | −0.759146 | − | 0.246662i | ||||
\(321\) | −17.4464 | − | 5.66868i | −0.973763 | − | 0.316395i | ||||
\(322\) | −4.24309 | + | 13.0589i | −0.236458 | + | 0.727743i | ||||
\(323\) | −45.0067 | − | 32.6993i | −2.50424 | − | 1.81944i | ||||
\(324\) | −9.50588 | + | 29.2561i | −0.528105 | + | 1.62534i | ||||
\(325\) | 3.23182 | + | 6.34281i | 0.179269 | + | 0.351836i | ||||
\(326\) | 37.9501 | + | 6.01070i | 2.10186 | + | 0.332902i | ||||
\(327\) | 25.2078 | + | 3.99253i | 1.39400 | + | 0.220787i | ||||
\(328\) | 3.15959 | + | 2.29557i | 0.174459 | + | 0.126752i | ||||
\(329\) | −10.2946 | + | 10.2946i | −0.567560 | + | 0.567560i | ||||
\(330\) | 28.1643 | − | 28.1643i | 1.55039 | − | 1.55039i | ||||
\(331\) | −7.11294 | − | 21.8914i | −0.390962 | − | 1.20326i | −0.932062 | − | 0.362300i | \(-0.881992\pi\) |
0.541099 | − | 0.840959i | \(-0.318008\pi\) | |||||||
\(332\) | 1.08986 | − | 3.35424i | 0.0598137 | − | 0.184088i | ||||
\(333\) | −2.21898 | + | 4.35499i | −0.121599 | + | 0.238652i | ||||
\(334\) | 16.7565 | − | 8.53788i | 0.916877 | − | 0.467172i | ||||
\(335\) | 23.3708 | − | 16.9799i | 1.27688 | − | 0.927709i | ||||
\(336\) | 16.3588 | + | 32.1059i | 0.892444 | + | 1.75152i | ||||
\(337\) | −6.56097 | − | 20.1926i | −0.357399 | − | 1.09996i | −0.954605 | − | 0.297873i | \(-0.903723\pi\) |
0.597207 | − | 0.802087i | \(-0.296277\pi\) | |||||||
\(338\) | 35.4372 | − | 25.7466i | 1.92753 | − | 1.40043i | ||||
\(339\) | 11.9352 | + | 36.7327i | 0.648229 | + | 1.99504i | ||||
\(340\) | −31.5751 | − | 5.00100i | −1.71240 | − | 0.271217i | ||||
\(341\) | 0.364392 | + | 0.264746i | 0.0197329 | + | 0.0143368i | ||||
\(342\) | 15.6143 | − | 98.5850i | 0.844327 | − | 5.33087i | ||||
\(343\) | 8.63390 | + | 16.9450i | 0.466187 | + | 0.914943i | ||||
\(344\) | −2.64763 | − | 0.419344i | −0.142751 | − | 0.0226095i | ||||
\(345\) | −9.83037 | + | 19.2932i | −0.529249 | + | 1.03871i | ||||
\(346\) | 0.690762 | + | 4.36130i | 0.0371356 | + | 0.234465i | ||||
\(347\) | 4.06314 | − | 2.95205i | 0.218121 | − | 0.158474i | −0.473359 | − | 0.880869i | \(-0.656959\pi\) |
0.691480 | + | 0.722395i | \(0.256959\pi\) | |||||||
\(348\) | 5.32509 | + | 3.86891i | 0.285455 | + | 0.207395i | ||||
\(349\) | 4.84799 | − | 6.67269i | 0.259507 | − | 0.357181i | −0.659305 | − | 0.751875i | \(-0.729150\pi\) |
0.918812 | + | 0.394695i | \(0.129150\pi\) | |||||||
\(350\) | 5.26873 | + | 2.68455i | 0.281625 | + | 0.143495i | ||||
\(351\) | −65.0104 | + | 33.1244i | −3.47000 | + | 1.76805i | ||||
\(352\) | −14.1424 | + | 14.1424i | −0.753794 | + | 0.753794i | ||||
\(353\) | −1.12283 | − | 7.08925i | −0.0597621 | − | 0.377323i | −0.999384 | − | 0.0351073i | \(-0.988823\pi\) |
0.939621 | − | 0.342216i | \(-0.111177\pi\) | |||||||
\(354\) | 34.7026i | 1.84442i | ||||||||
\(355\) | −4.88685 | + | 9.59098i | −0.259367 | + | 0.509036i | ||||
\(356\) | −3.03031 | + | 3.03031i | −0.160606 | + | 0.160606i | ||||
\(357\) | 35.1855 | + | 48.4287i | 1.86222 | + | 2.56312i | ||||
\(358\) | 22.6738 | − | 3.59118i | 1.19835 | − | 0.189800i | ||||
\(359\) | −10.9771 | + | 33.7839i | −0.579347 | + | 1.78305i | 0.0415260 | + | 0.999137i | \(0.486778\pi\) |
−0.620873 | + | 0.783911i | \(0.713222\pi\) | |||||||
\(360\) | 2.73370 | + | 8.41346i | 0.144079 | + | 0.443428i | ||||
\(361\) | 37.2974i | 1.96302i | ||||||||
\(362\) | 7.15101i | 0.375849i | ||||||||
\(363\) | 3.94124 | + | 12.1299i | 0.206862 | + | 0.636654i | ||||
\(364\) | 8.21210 | − | 25.2742i | 0.430431 | − | 1.32473i | ||||
\(365\) | 13.0818 | − | 2.07196i | 0.684734 | − | 0.108451i | ||||
\(366\) | 5.38343 | + | 7.40965i | 0.281396 | + | 0.387309i | ||||
\(367\) | 4.51903 | − | 4.51903i | 0.235892 | − | 0.235892i | −0.579255 | − | 0.815147i | \(-0.696656\pi\) |
0.815147 | + | 0.579255i | \(0.196656\pi\) | |||||||
\(368\) | 5.60781 | − | 11.0060i | 0.292327 | − | 0.573725i | ||||
\(369\) | 52.0812i | 2.71124i | ||||||||
\(370\) | −0.533868 | − | 3.37071i | −0.0277545 | − | 0.175235i | ||||
\(371\) | −11.9936 | + | 11.9936i | −0.622676 | + | 0.622676i | ||||
\(372\) | 0.829732 | − | 0.422770i | 0.0430196 | − | 0.0219196i | ||||
\(373\) | 21.9564 | + | 11.1873i | 1.13686 | + | 0.579258i | 0.918032 | − | 0.396506i | \(-0.129778\pi\) |
0.218825 | + | 0.975764i | \(0.429778\pi\) | |||||||
\(374\) | −22.1870 | + | 30.5377i | −1.14726 | + | 1.57907i | ||||
\(375\) | −24.1033 | − | 17.5121i | −1.24469 | − | 0.904320i | ||||
\(376\) | 2.36829 | − | 1.72066i | 0.122135 | − | 0.0887364i | ||||
\(377\) | 1.12883 | + | 7.12717i | 0.0581378 | + | 0.367068i | ||||
\(378\) | −27.5152 | + | 54.0016i | −1.41523 | + | 2.77754i | ||||
\(379\) | −25.9170 | − | 4.10484i | −1.33126 | − | 0.210852i | −0.550059 | − | 0.835126i | \(-0.685395\pi\) |
−0.781205 | + | 0.624274i | \(0.785395\pi\) | |||||||
\(380\) | 14.6872 | + | 28.8253i | 0.753439 | + | 1.47871i | ||||
\(381\) | −3.21444 | + | 20.2952i | −0.164681 | + | 1.03975i | ||||
\(382\) | 5.91426 | + | 4.29696i | 0.302600 | + | 0.219852i | ||||
\(383\) | 0.839923 | + | 0.133031i | 0.0429181 | + | 0.00679756i | 0.177857 | − | 0.984056i | \(-0.443084\pi\) |
−0.134938 | + | 0.990854i | \(0.543084\pi\) | |||||||
\(384\) | −3.97741 | − | 12.2412i | −0.202971 | − | 0.624681i | ||||
\(385\) | 13.6217 | − | 9.89672i | 0.694225 | − | 0.504384i | ||||
\(386\) | −7.94284 | − | 24.4456i | −0.404280 | − | 1.24425i | ||||
\(387\) | −16.2290 | − | 31.8512i | −0.824967 | − | 1.61909i | ||||
\(388\) | 1.99858 | − | 1.45206i | 0.101463 | − | 0.0737170i | ||||
\(389\) | 25.4434 | − | 12.9641i | 1.29003 | − | 0.657305i | 0.331816 | − | 0.943344i | \(-0.392339\pi\) |
0.958218 | + | 0.286039i | \(0.0923387\pi\) | |||||||
\(390\) | 40.9859 | − | 80.4393i | 2.07540 | − | 4.07320i | ||||
\(391\) | 6.34119 | − | 19.5162i | 0.320688 | − | 0.986975i | ||||
\(392\) | −0.0647905 | − | 0.199405i | −0.00327241 | − | 0.0100714i | ||||
\(393\) | −3.99646 | + | 3.99646i | −0.201595 | + | 0.201595i | ||||
\(394\) | 14.9160 | − | 14.9160i | 0.751458 | − | 0.751458i | ||||
\(395\) | −8.43312 | − | 6.12702i | −0.424316 | − | 0.308284i | ||||
\(396\) | −31.0512 | − | 4.91802i | −1.56038 | − | 0.247140i | ||||
\(397\) | −6.93360 | − | 1.09817i | −0.347987 | − | 0.0551158i | −0.0200057 | − | 0.999800i | \(-0.506368\pi\) |
−0.327982 | + | 0.944684i | \(0.606368\pi\) | |||||||
\(398\) | 7.59047 | + | 14.8971i | 0.380476 | + | 0.746726i | ||||
\(399\) | 18.7196 | − | 57.6130i | 0.937153 | − | 2.88426i | ||||
\(400\) | −4.30357 | − | 3.12673i | −0.215179 | − | 0.156336i | ||||
\(401\) | 11.5610 | − | 35.5812i | 0.577330 | − | 1.77684i | −0.0507757 | − | 0.998710i | \(-0.516169\pi\) |
0.628105 | − | 0.778128i | \(-0.283831\pi\) | |||||||
\(402\) | −67.0692 | − | 21.7921i | −3.34511 | − | 1.08689i | ||||
\(403\) | 0.970936 | + | 0.315476i | 0.0483658 | + | 0.0157150i | ||||
\(404\) | −1.21806 | + | 7.69052i | −0.0606007 | + | 0.382618i | ||||
\(405\) | −25.9659 | + | 35.7390i | −1.29026 | + | 1.77588i | ||||
\(406\) | 4.23844 | + | 4.23844i | 0.210350 | + | 0.210350i | ||||
\(407\) | −1.77897 | − | 0.578024i | −0.0881805 | − | 0.0286516i | ||||
\(408\) | −5.46442 | − | 10.7245i | −0.270529 | − | 0.530944i | ||||
\(409\) | 22.4246 | − | 11.4259i | 1.10883 | − | 0.564976i | 0.199015 | − | 0.979996i | \(-0.436226\pi\) |
0.909812 | + | 0.415021i | \(0.136226\pi\) | |||||||
\(410\) | −21.3744 | − | 29.4193i | −1.05561 | − | 1.45292i | ||||
\(411\) | 0.717666 | − | 4.53116i | 0.0353998 | − | 0.223506i | ||||
\(412\) | 31.7025 | + | 5.02118i | 1.56187 | + | 0.247376i | ||||
\(413\) | −2.29485 | + | 14.4891i | −0.112922 | + | 0.712962i | ||||
\(414\) | 36.3647 | − | 5.75960i | 1.78723 | − | 0.283069i | ||||
\(415\) | 2.97701 | − | 4.09750i | 0.146136 | − | 0.201139i | ||||
\(416\) | −20.5807 | + | 40.3919i | −1.00905 | + | 1.98037i | ||||
\(417\) | −8.30780 | − | 8.30780i | −0.406835 | − | 0.406835i | ||||
\(418\) | 38.1986 | 1.86836 | ||||||||
\(419\) | −8.47062 | − | 8.47062i | −0.413817 | − | 0.413817i | 0.469249 | − | 0.883066i | \(-0.344525\pi\) |
−0.883066 | + | 0.469249i | \(0.844525\pi\) | |||||||
\(420\) | −5.44567 | − | 34.3826i | −0.265722 | − | 1.67770i | ||||
\(421\) | −30.1214 | + | 9.78705i | −1.46803 | + | 0.476992i | −0.930512 | − | 0.366261i | \(-0.880638\pi\) |
−0.537517 | + | 0.843253i | \(0.680638\pi\) | |||||||
\(422\) | −9.34051 | −0.454689 | ||||||||
\(423\) | 37.1271 | + | 12.0633i | 1.80518 | + | 0.586540i | ||||
\(424\) | 2.75914 | − | 2.00463i | 0.133996 | − | 0.0973536i | ||||
\(425\) | −7.87398 | − | 4.01199i | −0.381944 | − | 0.194610i | ||||
\(426\) | 25.9539 | − | 4.11070i | 1.25747 | − | 0.199164i | ||||
\(427\) | 1.75771 | + | 3.44969i | 0.0850614 | + | 0.166942i | ||||
\(428\) | −8.17892 | − | 5.94234i | −0.395343 | − | 0.287234i | ||||
\(429\) | −29.0850 | − | 40.0320i | −1.40423 | − | 1.93276i | ||||
\(430\) | 22.2393 | + | 11.3315i | 1.07247 | + | 0.546452i | ||||
\(431\) | −18.4970 | + | 9.42468i | −0.890968 | + | 0.453971i | −0.838657 | − | 0.544660i | \(-0.816659\pi\) |
−0.0523108 | + | 0.998631i | \(0.516659\pi\) | |||||||
\(432\) | 32.0473 | − | 44.1093i | 1.54188 | − | 2.12221i | ||||
\(433\) | 25.7433 | − | 8.36452i | 1.23715 | − | 0.401973i | 0.383848 | − | 0.923396i | \(-0.374599\pi\) |
0.853298 | + | 0.521423i | \(0.174599\pi\) | |||||||
\(434\) | 0.806520 | − | 0.262054i | 0.0387142 | − | 0.0125790i | ||||
\(435\) | 5.55601 | + | 7.64719i | 0.266390 | + | 0.366655i | ||||
\(436\) | 12.5324 | + | 6.38560i | 0.600195 | + | 0.305815i | ||||
\(437\) | −19.7498 | + | 6.41711i | −0.944763 | + | 0.306972i | ||||
\(438\) | −22.8631 | − | 22.8631i | −1.09244 | − | 1.09244i | ||||
\(439\) | −3.94055 | + | 24.8796i | −0.188072 | + | 1.18744i | 0.695283 | + | 0.718736i | \(0.255279\pi\) |
−0.883355 | + | 0.468704i | \(0.844721\pi\) | |||||||
\(440\) | −3.01652 | + | 1.53699i | −0.143807 | + | 0.0732732i | ||||
\(441\) | 1.64345 | − | 2.26201i | 0.0782593 | − | 0.107715i | ||||
\(442\) | −26.4384 | + | 81.3690i | −1.25755 | + | 3.87033i | ||||
\(443\) | −11.7321 | − | 1.85818i | −0.557407 | − | 0.0882846i | −0.128626 | − | 0.991693i | \(-0.541057\pi\) |
−0.428781 | + | 0.903409i | \(0.641057\pi\) | |||||||
\(444\) | −2.73461 | + | 2.73461i | −0.129779 | + | 0.129779i | ||||
\(445\) | −5.48350 | + | 2.79398i | −0.259943 | + | 0.132447i | ||||
\(446\) | −22.0946 | + | 16.0527i | −1.04621 | + | 0.760117i | ||||
\(447\) | −0.278495 | + | 1.75835i | −0.0131724 | + | 0.0831671i | ||||
\(448\) | 2.30508 | + | 14.5537i | 0.108905 | + | 0.687599i | ||||
\(449\) | 20.8868 | + | 10.6424i | 0.985710 | + | 0.502244i | 0.871068 | − | 0.491163i | \(-0.163428\pi\) |
0.114642 | + | 0.993407i | \(0.463428\pi\) | |||||||
\(450\) | − | 15.8557i | − | 0.747444i | ||||||
\(451\) | −19.6860 | + | 3.11796i | −0.926977 | + | 0.146819i | ||||
\(452\) | 21.2856i | 1.00119i | ||||||||
\(453\) | −11.7930 | − | 16.2317i | −0.554083 | − | 0.762630i | ||||
\(454\) | −8.59846 | − | 54.2885i | −0.403546 | − | 2.54789i | ||||
\(455\) | 22.4319 | − | 30.8748i | 1.05162 | − | 1.44743i | ||||
\(456\) | −5.52985 | + | 10.8529i | −0.258959 | + | 0.508236i | ||||
\(457\) | 9.71941 | + | 7.06157i | 0.454655 | + | 0.330326i | 0.791431 | − | 0.611259i | \(-0.209336\pi\) |
−0.336776 | + | 0.941585i | \(0.609336\pi\) | |||||||
\(458\) | −9.53059 | − | 29.3321i | −0.445335 | − | 1.37060i | ||||
\(459\) | 41.1208 | − | 80.7041i | 1.91935 | − | 3.76694i | ||||
\(460\) | −8.43815 | + | 8.43815i | −0.393431 | + | 0.393431i | ||||
\(461\) | −17.3429 | − | 34.0373i | −0.807738 | − | 1.58527i | −0.810832 | − | 0.585280i | \(-0.800985\pi\) |
0.00309375 | − | 0.999995i | \(-0.499015\pi\) | |||||||
\(462\) | −39.0913 | − | 12.7015i | −1.81869 | − | 0.590929i | ||||
\(463\) | 27.7117 | + | 27.7117i | 1.28787 | + | 1.28787i | 0.936077 | + | 0.351795i | \(0.114429\pi\) |
0.351795 | + | 0.936077i | \(0.385571\pi\) | |||||||
\(464\) | −3.16947 | − | 4.36240i | −0.147139 | − | 0.202519i | ||||
\(465\) | 1.32084 | − | 0.209201i | 0.0612527 | − | 0.00970147i | ||||
\(466\) | 20.0090 | 0.926899 | ||||||||
\(467\) | 36.1862 | 1.67450 | 0.837248 | − | 0.546823i | \(-0.184163\pi\) | ||||
0.837248 | + | 0.546823i | \(0.184163\pi\) | |||||||
\(468\) | −70.3804 | + | 11.1472i | −3.25334 | + | 0.515278i | ||||
\(469\) | −26.5617 | − | 13.5339i | −1.22651 | − | 0.624937i | ||||
\(470\) | −25.9230 | + | 8.42290i | −1.19574 | + | 0.388520i | ||||
\(471\) | 46.8694 | + | 46.8694i | 2.15963 | + | 2.15963i | ||||
\(472\) | 0.911499 | − | 2.80530i | 0.0419551 | − | 0.129125i | ||||
\(473\) | 11.0678 | − | 8.04120i | 0.508896 | − | 0.369735i | ||||
\(474\) | 25.4467i | 1.16881i | ||||||||
\(475\) | 1.39899 | + | 8.83287i | 0.0641901 | + | 0.405280i | ||||
\(476\) | 10.1945 | + | 31.3755i | 0.467265 | + | 1.43809i | ||||
\(477\) | 43.2544 | + | 14.0542i | 1.98048 | + | 0.643498i | ||||
\(478\) | 3.36154 | 0.153753 | ||||||||
\(479\) | −15.4310 | + | 5.01385i | −0.705062 | + | 0.229089i | −0.639535 | − | 0.768762i | \(-0.720873\pi\) |
−0.0655273 | + | 0.997851i | \(0.520873\pi\) | |||||||
\(480\) | 59.3828i | 2.71044i | ||||||||
\(481\) | −4.23972 | −0.193315 | ||||||||
\(482\) | −2.82099 | + | 29.8603i | −0.128493 | + | 1.36010i | ||||
\(483\) | 22.3452 | 1.01674 | ||||||||
\(484\) | 7.02894i | 0.319497i | ||||||||
\(485\) | 3.37400 | − | 1.09628i | 0.153206 | − | 0.0497795i | ||||
\(486\) | 37.0346 | 1.67992 | ||||||||
\(487\) | −11.3541 | − | 3.68919i | −0.514506 | − | 0.167173i | 0.0402448 | − | 0.999190i | \(-0.487186\pi\) |
−0.554750 | + | 0.832017i | \(0.687186\pi\) | |||||||
\(488\) | −0.240566 | − | 0.740386i | −0.0108899 | − | 0.0335157i | ||||
\(489\) | −9.78157 | − | 61.7584i | −0.442338 | − | 2.79281i | ||||
\(490\) | 1.95223i | 0.0881928i | ||||||||
\(491\) | −8.65883 | + | 6.29101i | −0.390768 | + | 0.283909i | −0.765770 | − | 0.643114i | \(-0.777642\pi\) |
0.375002 | + | 0.927024i | \(0.377642\pi\) | |||||||
\(492\) | −12.7340 | + | 39.1914i | −0.574095 | + | 1.76688i | ||||
\(493\) | −6.33424 | − | 6.33424i | −0.285280 | − | 0.285280i | ||||
\(494\) | 82.3432 | − | 26.7549i | 3.70480 | − | 1.20376i | ||||
\(495\) | −40.2266 | − | 20.4965i | −1.80805 | − | 0.921249i | ||||
\(496\) | −0.753486 | + | 0.119341i | −0.0338325 | + | 0.00535855i | ||||
\(497\) | 11.1082 | 0.498269 | ||||||||
\(498\) | −12.3641 | −0.554049 | ||||||||
\(499\) | 20.9782 | − | 3.32262i | 0.939114 | − | 0.148741i | 0.331932 | − | 0.943303i | \(-0.392300\pi\) |
0.607182 | + | 0.794562i | \(0.292300\pi\) | |||||||
\(500\) | −9.65109 | − | 13.2836i | −0.431610 | − | 0.594060i | ||||
\(501\) | −21.6407 | − | 21.6407i | −0.966836 | − | 0.966836i | ||||
\(502\) | −3.06999 | − | 0.997499i | −0.137020 | − | 0.0445206i | ||||
\(503\) | −12.1359 | − | 23.8180i | −0.541112 | − | 1.06199i | −0.986053 | − | 0.166433i | \(-0.946775\pi\) |
0.444940 | − | 0.895560i | \(-0.353225\pi\) | |||||||
\(504\) | 6.45526 | − | 6.45526i | 0.287540 | − | 0.287540i | ||||
\(505\) | −5.07641 | + | 9.96302i | −0.225897 | + | 0.443349i | ||||
\(506\) | 4.35411 | + | 13.4006i | 0.193564 | + | 0.595728i | ||||
\(507\) | −57.6690 | − | 41.8990i | −2.56117 | − | 1.86080i | ||||
\(508\) | −5.14113 | + | 10.0900i | −0.228101 | + | 0.447673i | ||||
\(509\) | 8.88196 | − | 12.2250i | 0.393686 | − | 0.541862i | −0.565459 | − | 0.824776i | \(-0.691301\pi\) |
0.959145 | + | 0.282914i | \(0.0913011\pi\) | |||||||
\(510\) | 17.5320 | + | 110.693i | 0.776332 | + | 4.90157i | ||||
\(511\) | −8.03392 | − | 11.0577i | −0.355400 | − | 0.489166i | ||||
\(512\) | − | 29.2666i | − | 1.29341i | ||||||
\(513\) | −90.5322 | + | 14.3389i | −3.99710 | + | 0.633078i | ||||
\(514\) | 10.7018i | 0.472036i | ||||||||
\(515\) | 41.0704 | + | 20.9264i | 1.80978 | + | 0.922127i | ||||
\(516\) | −4.42467 | − | 27.9363i | −0.194785 | − | 1.22983i | ||||
\(517\) | −2.33708 | + | 14.7558i | −0.102785 | + | 0.648958i | ||||
\(518\) | −2.84917 | + | 2.07005i | −0.125186 | + | 0.0909526i | ||||
\(519\) | 6.40266 | − | 3.26232i | 0.281046 | − | 0.143200i | ||||
\(520\) | −5.42605 | + | 5.42605i | −0.237948 | + | 0.237948i | ||||
\(521\) | 21.1055 | + | 3.34278i | 0.924647 | + | 0.146450i | 0.600562 | − | 0.799578i | \(-0.294944\pi\) |
0.324085 | + | 0.946028i | \(0.394944\pi\) | |||||||
\(522\) | 4.96665 | − | 15.2858i | 0.217384 | − | 0.669040i | ||||
\(523\) | −16.8203 | + | 23.1511i | −0.735500 | + | 1.01233i | 0.263365 | + | 0.964696i | \(0.415168\pi\) |
−0.998865 | + | 0.0476328i | \(0.984832\pi\) | |||||||
\(524\) | −2.77530 | + | 1.41409i | −0.121240 | + | 0.0617747i | ||||
\(525\) | 1.50536 | − | 9.50448i | 0.0656993 | − | 0.414809i | ||||
\(526\) | −42.2552 | − | 42.2552i | −1.84242 | − | 1.84242i | ||||
\(527\) | −1.20532 | + | 0.391633i | −0.0525047 | + | 0.0170598i | ||||
\(528\) | 32.9459 | + | 16.7868i | 1.43379 | + | 0.730551i | ||||
\(529\) | 9.01665 | + | 12.4104i | 0.392028 | + | 0.539581i | ||||
\(530\) | −30.2013 | + | 9.81298i | −1.31186 | + | 0.426249i | ||||
\(531\) | 37.4100 | − | 12.1553i | 1.62346 | − | 0.527493i | ||||
\(532\) | 19.6233 | − | 27.0092i | 0.850778 | − | 1.17100i | ||||
\(533\) | −40.2524 | + | 20.5096i | −1.74353 | + | 0.888371i | ||||
\(534\) | 13.3862 | + | 6.82063i | 0.579280 | + | 0.295158i | ||||
\(535\) | −8.53359 | − | 11.7455i | −0.368939 | − | 0.507801i | ||||
\(536\) | 4.84937 | + | 3.52327i | 0.209461 | + | 0.152182i | ||||
\(537\) | −16.9604 | − | 33.2866i | −0.731893 | − | 1.43642i | ||||
\(538\) | 45.6234 | − | 7.22603i | 1.96696 | − | 0.311536i | ||||
\(539\) | 0.953398 | + | 0.485781i | 0.0410658 | + | 0.0209240i | ||||
\(540\) | −42.6134 | + | 30.9604i | −1.83379 | + | 1.33232i | ||||
\(541\) | 38.3354 | + | 12.4559i | 1.64817 | + | 0.535522i | 0.978342 | − | 0.206997i | \(-0.0663690\pi\) |
0.669825 | + | 0.742519i | \(0.266369\pi\) | |||||||
\(542\) | 14.1816 | 0.609150 | ||||||||
\(543\) | 11.0677 | − | 3.59611i | 0.474960 | − | 0.154324i | ||||
\(544\) | −8.80356 | − | 55.5835i | −0.377449 | − | 2.38312i | ||||
\(545\) | 14.2828 | + | 14.2828i | 0.611809 | + | 0.611809i | ||||
\(546\) | −93.1639 | −3.98705 | ||||||||
\(547\) | −5.56765 | − | 5.56765i | −0.238055 | − | 0.238055i | 0.577989 | − | 0.816045i | \(-0.303838\pi\) |
−0.816045 | + | 0.577989i | \(0.803838\pi\) | |||||||
\(548\) | 1.14782 | − | 2.25273i | 0.0490326 | − | 0.0962320i | ||||
\(549\) | 6.10208 | − | 8.39880i | 0.260431 | − | 0.358452i | ||||
\(550\) | 5.99324 | − | 0.949236i | 0.255553 | − | 0.0404755i | ||||
\(551\) | −1.41811 | + | 8.95361i | −0.0604137 | + | 0.381437i | ||||
\(552\) | −4.43767 | − | 0.702858i | −0.188880 | − | 0.0299156i | ||||
\(553\) | −1.68276 | + | 10.6246i | −0.0715584 | + | 0.451802i | ||||
\(554\) | −23.5575 | − | 32.4241i | −1.00086 | − | 1.37757i | ||||
\(555\) | −4.94841 | + | 2.52134i | −0.210048 | + | 0.107025i | ||||
\(556\) | −2.93959 | − | 5.76927i | −0.124666 | − | 0.244672i | ||||
\(557\) | −4.18639 | − | 1.36024i | −0.177383 | − | 0.0576353i | 0.218979 | − | 0.975730i | \(-0.429727\pi\) |
−0.396362 | + | 0.918094i | \(0.629727\pi\) | |||||||
\(558\) | −1.60788 | − | 1.60788i | −0.0680670 | − | 0.0680670i | ||||
\(559\) | 18.2261 | − | 25.0861i | 0.770884 | − | 1.06103i | ||||
\(560\) | −4.46118 | + | 28.1668i | −0.188519 | + | 1.19026i | ||||
\(561\) | 58.4210 | + | 18.9821i | 2.46653 | + | 0.801426i | ||||
\(562\) | −29.0422 | − | 9.43637i | −1.22507 | − | 0.398049i | ||||
\(563\) | −3.53020 | + | 10.8648i | −0.148780 | + | 0.457899i | −0.997478 | − | 0.0709800i | \(-0.977387\pi\) |
0.848697 | + | 0.528879i | \(0.177387\pi\) | |||||||
\(564\) | 24.9888 | + | 18.1554i | 1.05222 | + | 0.764482i | ||||
\(565\) | −9.44587 | + | 29.0714i | −0.397391 | + | 1.22304i | ||||
\(566\) | −5.18248 | − | 10.1712i | −0.217836 | − | 0.427527i | ||||
\(567\) | 45.0262 | + | 7.13144i | 1.89092 | + | 0.299492i | ||||
\(568\) | −2.20604 | − | 0.349403i | −0.0925636 | − | 0.0146606i | ||||
\(569\) | 3.37166 | + | 2.44966i | 0.141348 | + | 0.102695i | 0.656212 | − | 0.754577i | \(-0.272158\pi\) |
−0.514864 | + | 0.857272i | \(0.672158\pi\) | |||||||
\(570\) | 80.1962 | − | 80.1962i | 3.35905 | − | 3.35905i | ||||
\(571\) | −7.43255 | + | 7.43255i | −0.311043 | + | 0.311043i | −0.845313 | − | 0.534271i | \(-0.820586\pi\) |
0.534271 | + | 0.845313i | \(0.320586\pi\) | |||||||
\(572\) | −8.42696 | − | 25.9355i | −0.352349 | − | 1.08442i | ||||
\(573\) | 3.67628 | − | 11.3144i | 0.153579 | − | 0.472667i | ||||
\(574\) | −17.0366 | + | 33.4361i | −0.711093 | + | 1.39560i | ||||
\(575\) | −2.93922 | + | 1.49761i | −0.122574 | + | 0.0624545i | ||||
\(576\) | 31.9648 | − | 23.2238i | 1.33187 | − | 0.967658i | ||||
\(577\) | 9.28589 | + | 18.2246i | 0.386576 | + | 0.758699i | 0.999506 | − | 0.0314388i | \(-0.0100089\pi\) |
−0.612929 | + | 0.790138i | \(0.710009\pi\) | |||||||
\(578\) | −22.6712 | − | 69.7746i | −0.942996 | − | 2.90224i | ||||
\(579\) | −33.8403 | + | 24.5864i | −1.40636 | + | 1.02178i | ||||
\(580\) | 1.60978 | + | 4.95438i | 0.0668423 | + | 0.205720i | ||||
\(581\) | −5.16229 | − | 0.817626i | −0.214168 | − | 0.0339208i | ||||
\(582\) | −7.00645 | − | 5.09048i | −0.290427 | − | 0.211007i | ||||
\(583\) | −2.72279 | + | 17.1910i | −0.112766 | + | 0.711978i | ||||
\(584\) | 1.24769 | + | 2.44873i | 0.0516299 | + | 0.101329i | ||||
\(585\) | −101.071 | − | 16.0081i | −4.17877 | − | 0.661852i | ||||
\(586\) | −17.4859 | + | 34.3180i | −0.722336 | + | 1.41766i | ||||
\(587\) | 3.09541 | + | 19.5437i | 0.127761 | + | 0.806653i | 0.965466 | + | 0.260529i | \(0.0838971\pi\) |
−0.837705 | + | 0.546124i | \(0.816103\pi\) | |||||||
\(588\) | 1.78977 | − | 1.30034i | 0.0738089 | − | 0.0536253i | ||||
\(589\) | 1.03758 | + | 0.753849i | 0.0427529 | + | 0.0310618i | ||||
\(590\) | −16.1434 | + | 22.2195i | −0.664613 | + | 0.914761i | ||||
\(591\) | −30.5867 | − | 15.5847i | −1.25817 | − | 0.641069i | ||||
\(592\) | 2.82286 | − | 1.43832i | 0.116019 | − | 0.0591145i | ||||
\(593\) | 28.9068 | − | 28.9068i | 1.18706 | − | 1.18706i | 0.209181 | − | 0.977877i | \(-0.432920\pi\) |
0.977877 | − | 0.209181i | \(-0.0670798\pi\) | |||||||
\(594\) | 9.72916 | + | 61.4275i | 0.399192 | + | 2.52040i | ||||
\(595\) | 47.3761i | 1.94223i | ||||||||
\(596\) | −0.445422 | + | 0.874189i | −0.0182452 | + | 0.0358082i | ||||
\(597\) | 19.2393 | − | 19.2393i | 0.787414 | − | 0.787414i | ||||
\(598\) | 18.7719 | + | 25.8374i | 0.767642 | + | 1.05657i | ||||
\(599\) | −17.7733 | + | 2.81501i | −0.726197 | + | 0.115018i | −0.508579 | − | 0.861016i | \(-0.669829\pi\) |
−0.217619 | + | 0.976034i | \(0.569829\pi\) | |||||||
\(600\) | −0.597920 | + | 1.84021i | −0.0244100 | + | 0.0751261i | ||||
\(601\) | 2.22115 | + | 6.83598i | 0.0906024 | + | 0.278846i | 0.986083 | − | 0.166256i | \(-0.0531677\pi\) |
−0.895480 | + | 0.445101i | \(0.853168\pi\) | |||||||
\(602\) | − | 25.7573i | − | 1.04979i | ||||||
\(603\) | 79.9348i | 3.25520i | ||||||||
\(604\) | −3.41686 | − | 10.5160i | −0.139030 | − | 0.427890i | ||||
\(605\) | −3.11923 | + | 9.59999i | −0.126815 | + | 0.390295i | ||||
\(606\) | 26.9607 | − | 4.27016i | 1.09520 | − | 0.173463i | ||||
\(607\) | −16.1417 | − | 22.2171i | −0.655169 | − | 0.901763i | 0.344140 | − | 0.938918i | \(-0.388170\pi\) |
−0.999310 | + | 0.0371549i | \(0.988170\pi\) | |||||||
\(608\) | −40.2698 | + | 40.2698i | −1.63316 | + | 1.63316i | ||||
\(609\) | 4.42845 | − | 8.69131i | 0.179450 | − | 0.352190i | ||||
\(610\) | 7.24860i | 0.293487i | ||||||||
\(611\) | 5.29722 | + | 33.4453i | 0.214303 | + | 1.35305i | ||||
\(612\) | 62.5503 | − | 62.5503i | 2.52845 | − | 2.52845i | ||||
\(613\) | 13.1742 | − | 6.71257i | 0.532099 | − | 0.271118i | −0.167230 | − | 0.985918i | \(-0.553482\pi\) |
0.699329 | + | 0.714800i | \(0.253482\pi\) | |||||||
\(614\) | −29.2722 | − | 14.9150i | −1.18133 | − | 0.601919i | ||||
\(615\) | −34.7838 | + | 47.8758i | −1.40262 | + | 1.93054i | ||||
\(616\) | 2.82646 | + | 2.05354i | 0.113881 | + | 0.0827396i | ||||
\(617\) | −17.9322 | + | 13.0285i | −0.721922 | + | 0.524507i | −0.886998 | − | 0.461774i | \(-0.847213\pi\) |
0.165076 | + | 0.986281i | \(0.447213\pi\) | |||||||
\(618\) | −17.6028 | − | 111.140i | −0.708087 | − | 4.47069i | ||||
\(619\) | −1.48597 | + | 2.91638i | −0.0597262 | + | 0.117219i | −0.918940 | − | 0.394398i | \(-0.870953\pi\) |
0.859214 | + | 0.511617i | \(0.170953\pi\) | |||||||
\(620\) | 0.727932 | + | 0.115293i | 0.0292344 | + | 0.00463028i | ||||
\(621\) | −15.3497 | − | 30.1254i | −0.615961 | − | 1.20889i | ||||
\(622\) | −8.06408 | + | 50.9146i | −0.323340 | + | 2.04149i | ||||
\(623\) | 5.13801 | + | 3.73298i | 0.205850 | + | 0.149559i | ||||
\(624\) | 82.7779 | + | 13.1107i | 3.31377 | + | 0.524849i | ||||
\(625\) | −9.12801 | − | 28.0931i | −0.365120 | − | 1.12373i | ||||
\(626\) | −12.6388 | + | 9.18266i | −0.505150 | + | 0.367013i | ||||
\(627\) | −19.2094 | − | 59.1204i | −0.767149 | − | 2.36104i | ||||
\(628\) | 16.5840 | + | 32.5480i | 0.661775 | + | 1.29881i | ||||
\(629\) | 4.25802 | − | 3.09363i | 0.169778 | − | 0.123351i | ||||
\(630\) | −75.7376 | + | 38.5902i | −3.01746 | + | 1.53747i | ||||
\(631\) | −11.8646 | + | 23.2856i | −0.472323 | + | 0.926987i | 0.524802 | + | 0.851224i | \(0.324139\pi\) |
−0.997126 | + | 0.0757628i | \(0.975861\pi\) | |||||||
\(632\) | 0.668383 | − | 2.05707i | 0.0265868 | − | 0.0818259i | ||||
\(633\) | 4.69717 | + | 14.4564i | 0.186696 | + | 0.574591i | ||||
\(634\) | 6.24564 | − | 6.24564i | 0.248046 | − | 0.248046i | ||||
\(635\) | −11.4993 | + | 11.4993i | −0.456336 | + | 0.456336i | ||||
\(636\) | 29.1129 | + | 21.1517i | 1.15440 | + | 0.838721i | ||||
\(637\) | 2.39545 | + | 0.379402i | 0.0949112 | + | 0.0150325i | ||||
\(638\) | 6.07516 | + | 0.962211i | 0.240518 | + | 0.0380943i | ||||
\(639\) | −13.5223 | − | 26.5389i | −0.534932 | − | 1.04986i | ||||
\(640\) | 3.14785 | − | 9.68808i | 0.124430 | − | 0.382955i | ||||
\(641\) | −8.16682 | − | 5.93354i | −0.322570 | − | 0.234361i | 0.414701 | − | 0.909958i | \(-0.363886\pi\) |
−0.737271 | + | 0.675597i | \(0.763886\pi\) | |||||||
\(642\) | −10.9521 | + | 33.7070i | −0.432244 | + | 1.33031i | ||||
\(643\) | 11.3226 | + | 3.67894i | 0.446520 | + | 0.145083i | 0.523642 | − | 0.851938i | \(-0.324573\pi\) |
−0.0771217 | + | 0.997022i | \(0.524573\pi\) | |||||||
\(644\) | 11.7119 | + | 3.80544i | 0.461515 | + | 0.149955i | ||||
\(645\) | 6.35412 | − | 40.1184i | 0.250193 | − | 1.57966i | ||||
\(646\) | −63.1761 | + | 86.9545i | −2.48563 | + | 3.42118i | ||||
\(647\) | 0.0188941 | + | 0.0188941i | 0.000742804 | + | 0.000742804i | 0.707478 | − | 0.706735i | \(-0.249833\pi\) |
−0.706735 | + | 0.707478i | \(0.749833\pi\) | |||||||
\(648\) | −8.71773 | − | 2.83256i | −0.342465 | − | 0.111274i | ||||
\(649\) | 6.83416 | + | 13.4128i | 0.268264 | + | 0.526498i | ||||
\(650\) | 12.2545 | − | 6.24399i | 0.480662 | − | 0.244909i | ||||
\(651\) | −0.811168 | − | 1.11648i | −0.0317922 | − | 0.0437582i | ||||
\(652\) | 5.39073 | − | 34.0357i | 0.211117 | − | 1.33294i | ||||
\(653\) | 8.36888 | + | 1.32550i | 0.327500 | + | 0.0518709i | 0.318019 | − | 0.948084i | \(-0.396982\pi\) |
0.00948030 | + | 0.999955i | \(0.496982\pi\) | |||||||
\(654\) | 7.71370 | − | 48.7024i | 0.301630 | − | 1.90441i | ||||
\(655\) | −4.41799 | + | 0.699740i | −0.172625 | + | 0.0273411i | ||||
\(656\) | 19.8427 | − | 27.3111i | 0.774728 | − | 1.06632i | ||||
\(657\) | −16.6386 | + | 32.6550i | −0.649132 | + | 1.27399i | ||||
\(658\) | 19.8895 | + | 19.8895i | 0.775375 | + | 0.775375i | ||||
\(659\) | −38.0072 | −1.48055 | −0.740275 | − | 0.672305i | \(-0.765305\pi\) | ||||
−0.740275 | + | 0.672305i | \(0.765305\pi\) | |||||||
\(660\) | −25.2593 | − | 25.2593i | −0.983216 | − | 0.983216i | ||||
\(661\) | 2.96663 | + | 18.7306i | 0.115389 | + | 0.728535i | 0.975756 | + | 0.218861i | \(0.0702340\pi\) |
−0.860368 | + | 0.509674i | \(0.829766\pi\) | |||||||
\(662\) | −42.2949 | + | 13.7424i | −1.64384 | + | 0.534115i | ||||
\(663\) | 139.231 | 5.40729 | ||||||||
\(664\) | 0.999495 | + | 0.324756i | 0.0387879 | + | 0.0126030i | ||||
\(665\) | 38.7870 | − | 28.1804i | 1.50409 | − | 1.09279i | ||||
\(666\) | 8.41400 | + | 4.28715i | 0.326036 | + | 0.166124i | ||||
\(667\) | −3.30269 | + | 0.523094i | −0.127881 | + | 0.0202543i | ||||
\(668\) | −7.65725 | − | 15.0282i | −0.296268 | − | 0.581458i | ||||
\(669\) | 35.9559 | + | 26.1235i | 1.39014 | + | 1.00999i | ||||
\(670\) | −32.8057 | − | 45.1531i | −1.26739 | − | 1.74442i | ||||
\(671\) | 3.53995 | + | 1.80369i | 0.136658 | + | 0.0696309i | ||||
\(672\) | 54.6011 | − | 27.8207i | 2.10628 | − | 1.07321i | ||||
\(673\) | 21.1542 | − | 29.1162i | 0.815433 | − | 1.12235i | −0.175030 | − | 0.984563i | \(-0.556002\pi\) |
0.990462 | − | 0.137784i | \(-0.0439979\pi\) | |||||||
\(674\) | −39.0128 | + | 12.6760i | −1.50272 | + | 0.488262i | ||||
\(675\) | −13.8479 | + | 4.49945i | −0.533005 | + | 0.173184i | ||||
\(676\) | −23.0910 | − | 31.7820i | −0.888115 | − | 1.22238i | ||||
\(677\) | −29.1089 | − | 14.8317i | −1.11875 | − | 0.570030i | −0.205998 | − | 0.978552i | \(-0.566044\pi\) |
−0.912748 | + | 0.408522i | \(0.866044\pi\) | |||||||
\(678\) | 70.9687 | − | 23.0591i | 2.72554 | − | 0.885581i | ||||
\(679\) | −2.58872 | − | 2.58872i | −0.0993458 | − | 0.0993458i | ||||
\(680\) | 1.49020 | − | 9.40874i | 0.0571465 | − | 0.360809i | ||||
\(681\) | −79.6989 | + | 40.6086i | −3.05407 | + | 1.55613i | ||||
\(682\) | 0.511498 | − | 0.704017i | 0.0195863 | − | 0.0269582i | ||||
\(683\) | −10.7977 | + | 33.2318i | −0.413162 | + | 1.27158i | 0.500723 | + | 0.865607i | \(0.333067\pi\) |
−0.913885 | + | 0.405973i | \(0.866933\pi\) | |||||||
\(684\) | −88.4165 | − | 14.0038i | −3.38069 | − | 0.535449i | ||||
\(685\) | 2.56737 | − | 2.56737i | 0.0980942 | − | 0.0980942i | ||||
\(686\) | 32.7383 | − | 16.6810i | 1.24995 | − | 0.636883i | ||||
\(687\) | −40.6049 | + | 29.5012i | −1.54917 | + | 1.12554i | ||||
\(688\) | −3.62476 | + | 22.8858i | −0.138193 | + | 0.872515i | ||||
\(689\) | 6.17145 | + | 38.9650i | 0.235114 | + | 1.48445i | ||||
\(690\) | 37.2751 | + | 18.9926i | 1.41904 | + | 0.723036i | ||||
\(691\) | − | 8.30884i | − | 0.316083i | −0.987432 | − | 0.158042i | \(-0.949482\pi\) | ||
0.987432 | − | 0.158042i | \(-0.0505180\pi\) | |||||||
\(692\) | 3.91146 | − | 0.619514i | 0.148691 | − | 0.0235504i | ||||
\(693\) | 46.5900i | 1.76981i | ||||||||
\(694\) | −5.70345 | − | 7.85013i | −0.216500 | − | 0.297987i | ||||
\(695\) | −1.45461 | − | 9.18406i | −0.0551766 | − | 0.348371i | ||||
\(696\) | −1.15286 | + | 1.58677i | −0.0436989 | + | 0.0601464i | ||||
\(697\) | 25.4607 | − | 49.9695i | 0.964393 | − | 1.89273i | ||||
\(698\) | −12.8919 | − | 9.36648i | −0.487964 | − | 0.354527i | ||||
\(699\) | −10.0622 | − | 30.9681i | −0.380586 | − | 1.17132i | ||||
\(700\) | 2.40765 | − | 4.72529i | 0.0910007 | − | 0.178599i | ||||
\(701\) | −25.7093 | + | 25.7093i | −0.971027 | + | 0.971027i | −0.999592 | − | 0.0285647i | \(-0.990906\pi\) |
0.0285647 | + | 0.999592i | \(0.490906\pi\) | |||||||
\(702\) | 63.9976 | + | 125.602i | 2.41543 | + | 4.74055i | ||||
\(703\) | −5.06553 | − | 1.64589i | −0.191050 | − | 0.0620760i | ||||
\(704\) | 10.6919 | + | 10.6919i | 0.402967 | + | 0.402967i | ||||
\(705\) | 26.0724 | + | 35.8856i | 0.981945 | + | 1.35153i | ||||
\(706\) | −13.6967 | + | 2.16934i | −0.515481 | + | 0.0816442i | ||||
\(707\) | 11.5391 | 0.433971 | ||||||||
\(708\) | 31.1232 | 1.16968 | ||||||||
\(709\) | −51.7025 | + | 8.18887i | −1.94173 | + | 0.307540i | −0.999615 | − | 0.0277540i | \(-0.991164\pi\) |
−0.942114 | + | 0.335294i | \(0.891164\pi\) | |||||||
\(710\) | 18.5301 | + | 9.44155i | 0.695422 | + | 0.354335i | ||||
\(711\) | 27.4320 | − | 8.91319i | 1.02878 | − | 0.334271i | ||||
\(712\) | −0.902972 | − | 0.902972i | −0.0338403 | − | 0.0338403i | ||||
\(713\) | −0.146190 | + | 0.449926i | −0.00547485 | + | 0.0168499i | ||||
\(714\) | 93.5660 | − | 67.9797i | 3.50162 | − | 2.54407i | ||||
\(715\) | − | 39.1619i | − | 1.46457i | ||||||
\(716\) | −3.22077 | − | 20.3351i | −0.120366 | − | 0.759960i | ||||
\(717\) | −1.69046 | − | 5.20270i | −0.0631313 | − | 0.194298i | ||||
\(718\) | 65.2717 | + | 21.2081i | 2.43592 | + | 0.791478i | ||||
\(719\) | 32.4550 | 1.21037 | 0.605184 | − | 0.796086i | \(-0.293100\pi\) | ||||
0.605184 | + | 0.796086i | \(0.293100\pi\) | |||||||
\(720\) | 72.7250 | − | 23.6298i | 2.71030 | − | 0.880631i | ||||
\(721\) | − | 47.5672i | − | 1.77150i | ||||||
\(722\) | 72.0598 | 2.68179 | ||||||||
\(723\) | 47.6337 | − | 10.6501i | 1.77152 | − | 0.396082i | ||||
\(724\) | 6.41342 | 0.238353 | ||||||||
\(725\) | 1.44003i | 0.0534815i | ||||||||
\(726\) | 23.4354 | − | 7.61461i | 0.869768 | − | 0.282605i | ||||
\(727\) | 7.39064 | 0.274104 | 0.137052 | − | 0.990564i | \(-0.456237\pi\) | ||||
0.137052 | + | 0.990564i | \(0.456237\pi\) | |||||||
\(728\) | 7.53122 | + | 2.44704i | 0.279126 | + | 0.0906934i | ||||
\(729\) | −2.16605 | − | 6.66642i | −0.0802242 | − | 0.246905i | ||||
\(730\) | −4.00309 | − | 25.2745i | −0.148161 | − | 0.935452i | ||||
\(731\) | 38.4936i | 1.42374i | ||||||||
\(732\) | 6.64539 | − | 4.82816i | 0.245621 | − | 0.178454i | ||||
\(733\) | −12.0771 | + | 37.1696i | −0.446079 | + | 1.37289i | 0.435216 | + | 0.900326i | \(0.356672\pi\) |
−0.881296 | + | 0.472565i | \(0.843328\pi\) | |||||||
\(734\) | −8.73093 | − | 8.73093i | −0.322264 | − | 0.322264i | ||||
\(735\) | 3.02149 | − | 0.981741i | 0.111449 | − | 0.0362120i | ||||
\(736\) | −18.7173 | − | 9.53697i | −0.689931 | − | 0.351537i | ||||
\(737\) | −30.2143 | + | 4.78547i | −1.11296 | + | 0.176275i | ||||
\(738\) | 100.623 | 3.70397 | ||||||||
\(739\) | 9.78590 | 0.359980 | 0.179990 | − | 0.983668i | \(-0.442393\pi\) | ||||
0.179990 | + | 0.983668i | \(0.442393\pi\) | |||||||
\(740\) | −3.02304 | + | 0.478802i | −0.111129 | + | 0.0176011i | ||||
\(741\) | −82.8178 | − | 113.989i | −3.04239 | − | 4.18749i | ||||
\(742\) | 23.1720 | + | 23.1720i | 0.850672 | + | 0.850672i | ||||
\(743\) | −8.30382 | − | 2.69807i | −0.304638 | − | 0.0989827i | 0.152709 | − | 0.988271i | \(-0.451200\pi\) |
−0.457347 | + | 0.889288i | \(0.651200\pi\) | |||||||
\(744\) | 0.125977 | + | 0.247244i | 0.00461854 | + | 0.00906439i | ||||
\(745\) | −0.996286 | + | 0.996286i | −0.0365011 | + | 0.0365011i | ||||
\(746\) | 21.6143 | − | 42.4204i | 0.791355 | − | 1.55312i | ||||
\(747\) | 4.33076 | + | 13.3287i | 0.158454 | + | 0.487672i | ||||
\(748\) | 27.3879 | + | 19.8985i | 1.00140 | + | 0.727561i | ||||
\(749\) | −6.80174 | + | 13.3492i | −0.248530 | + | 0.487768i | ||||
\(750\) | −33.8339 | + | 46.5684i | −1.23544 | + | 1.70044i | ||||
\(751\) | −4.24353 | − | 26.7926i | −0.154849 | − | 0.977676i | −0.935658 | − | 0.352907i | \(-0.885193\pi\) |
0.780810 | − | 0.624769i | \(-0.214807\pi\) | |||||||
\(752\) | −14.8732 | − | 20.4712i | −0.542371 | − | 0.746510i | ||||
\(753\) | 5.25307i | 0.191433i | ||||||||
\(754\) | 13.7699 | − | 2.18094i | 0.501471 | − | 0.0794252i | ||||
\(755\) | − | 15.8788i | − | 0.577890i | ||||||
\(756\) | 48.4317 | + | 24.6772i | 1.76144 | + | 0.897500i | ||||
\(757\) | 0.637652 | + | 4.02598i | 0.0231759 | + | 0.146327i | 0.996563 | − | 0.0828414i | \(-0.0263995\pi\) |
−0.973387 | + | 0.229168i | \(0.926399\pi\) | |||||||
\(758\) | −7.93069 | + | 50.0724i | −0.288056 | + | 1.81871i | ||||
\(759\) | 18.5506 | − | 13.4778i | 0.673344 | − | 0.489213i | ||||
\(760\) | −8.58937 | + | 4.37650i | −0.311569 | + | 0.158752i | ||||
\(761\) | 20.1104 | − | 20.1104i | 0.729001 | − | 0.729001i | −0.241419 | − | 0.970421i | \(-0.577613\pi\) |
0.970421 | + | 0.241419i | \(0.0776130\pi\) | |||||||
\(762\) | 39.2109 | + | 6.21040i | 1.42046 | + | 0.224979i | ||||
\(763\) | 6.44128 | − | 19.8242i | 0.233190 | − | 0.717685i | ||||
\(764\) | 3.85375 | − | 5.30424i | 0.139424 | − | 0.191901i | ||||
\(765\) | 113.188 | − | 57.6721i | 4.09232 | − | 2.08514i | ||||
\(766\) | 0.257020 | − | 1.62276i | 0.00928651 | − | 0.0586327i | ||||
\(767\) | 24.1267 | + | 24.1267i | 0.871163 | + | 0.871163i | ||||
\(768\) | −57.9680 | + | 18.8349i | −2.09174 | + | 0.679648i | ||||
\(769\) | −29.6445 | − | 15.1046i | −1.06901 | − | 0.544686i | −0.171273 | − | 0.985224i | \(-0.554788\pi\) |
−0.897734 | + | 0.440537i | \(0.854788\pi\) | |||||||
\(770\) | −19.1208 | − | 26.3175i | −0.689066 | − | 0.948418i | ||||
\(771\) | 16.5633 | − | 5.38174i | 0.596512 | − | 0.193819i | ||||
\(772\) | −21.9241 | + | 7.12358i | −0.789067 | + | 0.256383i | ||||
\(773\) | −7.77813 | + | 10.7057i | −0.279760 | + | 0.385057i | −0.925654 | − | 0.378370i | \(-0.876485\pi\) |
0.645894 | + | 0.763427i | \(0.276485\pi\) | |||||||
\(774\) | −61.5377 | + | 31.3550i | −2.21193 | + | 1.12703i | ||||
\(775\) | 0.181527 | + | 0.0924925i | 0.00652063 | + | 0.00332243i | ||||
\(776\) | 0.432684 | + | 0.595538i | 0.0155324 | + | 0.0213786i | ||||
\(777\) | 4.63663 | + | 3.36871i | 0.166338 | + | 0.120852i | ||||
\(778\) | −25.0471 | − | 49.1576i | −0.897980 | − | 1.76239i | ||||
\(779\) | −56.0548 | + | 8.87820i | −2.00837 | + | 0.318095i | ||||
\(780\) | −72.1424 | − | 36.7584i | −2.58311 | − | 1.31616i | ||||
\(781\) | 9.22182 | − | 6.70005i | 0.329983 | − | 0.239746i | ||||
\(782\) | −37.7059 | − | 12.2514i | −1.34836 | − | 0.438109i | ||||
\(783\) | −14.7596 | −0.527464 | ||||||||
\(784\) | −1.72363 | + | 0.560042i | −0.0615583 | + | 0.0200015i | ||||
\(785\) | 8.20636 | + | 51.8129i | 0.292898 | + | 1.84928i | ||||
\(786\) | 7.72130 | + | 7.72130i | 0.275410 | + | 0.275410i | ||||
\(787\) | 37.0920 | 1.32219 | 0.661093 | − | 0.750304i | \(-0.270093\pi\) | ||||
0.661093 | + | 0.750304i | \(0.270093\pi\) | |||||||
\(788\) | −13.3775 | − | 13.3775i | −0.476554 | − | 0.476554i | ||||
\(789\) | −44.1495 | + | 86.6483i | −1.57176 | + | 3.08476i | ||||
\(790\) | −11.8376 | + | 16.2931i | −0.421163 | + | 0.579681i | ||||
\(791\) | 31.1559 | − | 4.93461i | 1.10778 | − | 0.175454i | ||||
\(792\) | 1.46547 | − | 9.25263i | 0.0520733 | − | 0.328778i | ||||
\(793\) | 8.89426 | + | 1.40871i | 0.315845 | + | 0.0500249i | ||||
\(794\) | −2.12171 | + | 13.3960i | −0.0752967 | + | 0.475405i | ||||
\(795\) | 30.3753 | + | 41.8080i | 1.07730 | + | 1.48278i | ||||
\(796\) | 13.3606 | − | 6.80755i | 0.473553 | − | 0.241287i | ||||
\(797\) | 1.02118 | + | 2.00418i | 0.0361721 | + | 0.0709918i | 0.908385 | − | 0.418134i | \(-0.137316\pi\) |
−0.872213 | + | 0.489126i | \(0.837316\pi\) | |||||||
\(798\) | −111.310 | − | 36.1669i | −3.94034 | − | 1.28029i | ||||
\(799\) | −29.7244 | − | 29.7244i | −1.05157 | − | 1.05157i | ||||
\(800\) | −5.31749 | + | 7.31890i | −0.188002 | + | 0.258762i | ||||
\(801\) | 2.66397 | − | 16.8197i | 0.0941268 | − | 0.594293i | ||||
\(802\) | −68.7440 | − | 22.3363i | −2.42744 | − | 0.788722i | ||||
\(803\) | −13.3393 | − | 4.33419i | −0.470732 | − | 0.152950i | ||||
\(804\) | −19.5444 | + | 60.1513i | −0.689276 | + | 2.12137i | ||||
\(805\) | 14.3072 | + | 10.3948i | 0.504262 | + | 0.366368i | ||||
\(806\) | 0.609511 | − | 1.87588i | 0.0214691 | − | 0.0660751i | ||||
\(807\) | −34.1270 | − | 66.9779i | −1.20133 | − | 2.35774i | ||||
\(808\) | −2.29162 | − | 0.362957i | −0.0806189 | − | 0.0127688i | ||||
\(809\) | 11.6127 | + | 1.83927i | 0.408281 | + | 0.0646653i | 0.357197 | − | 0.934029i | \(-0.383732\pi\) |
0.0510836 | + | 0.998694i | \(0.483732\pi\) | |||||||
\(810\) | 69.0489 | + | 50.1670i | 2.42613 | + | 1.76269i | ||||
\(811\) | 32.0201 | − | 32.0201i | 1.12438 | − | 1.12438i | 0.133304 | − | 0.991075i | \(-0.457441\pi\) |
0.991075 | − | 0.133304i | \(-0.0425587\pi\) | |||||||
\(812\) | 3.80127 | − | 3.80127i | 0.133398 | − | 0.133398i | ||||
\(813\) | −7.13165 | − | 21.9490i | −0.250118 | − | 0.769783i | ||||
\(814\) | −1.11676 | + | 3.43704i | −0.0391425 | + | 0.120468i | ||||
\(815\) | 22.4666 | − | 44.0931i | 0.786969 | − | 1.54451i | ||||
\(816\) | −92.7018 | + | 47.2339i | −3.24521 | + | 1.65352i | ||||
\(817\) | 31.5148 | − | 22.8969i | 1.10256 | − | 0.801060i | ||||
\(818\) | −22.0753 | − | 43.3252i | −0.771844 | − | 1.51483i | ||||
\(819\) | 32.6324 | + | 100.432i | 1.14027 | + | 3.50939i | ||||
\(820\) | −26.3849 | + | 19.1697i | −0.921400 | + | 0.669436i | ||||
\(821\) | −2.66142 | − | 8.19100i | −0.0928841 | − | 0.285868i | 0.893812 | − | 0.448441i | \(-0.148021\pi\) |
−0.986696 | + | 0.162573i | \(0.948021\pi\) | |||||||
\(822\) | −8.75436 | − | 1.38655i | −0.305343 | − | 0.0483617i | ||||
\(823\) | 12.1598 | + | 8.83461i | 0.423864 | + | 0.307955i | 0.779191 | − | 0.626787i | \(-0.215630\pi\) |
−0.355327 | + | 0.934742i | \(0.615630\pi\) | |||||||
\(824\) | −1.49621 | + | 9.44670i | −0.0521229 | + | 0.329091i | ||||
\(825\) | −4.48303 | − | 8.79845i | −0.156079 | − | 0.306323i | ||||
\(826\) | 27.9934 | + | 4.43372i | 0.974016 | + | 0.154269i | ||||
\(827\) | 13.8046 | − | 27.0931i | 0.480033 | − | 0.942119i | −0.516287 | − | 0.856415i | \(-0.672686\pi\) |
0.996321 | − | 0.0857033i | \(-0.0273137\pi\) | |||||||
\(828\) | −5.16553 | − | 32.6139i | −0.179515 | − | 1.13341i | ||||
\(829\) | −25.6888 | + | 18.6640i | −0.892209 | + | 0.648228i | −0.936453 | − | 0.350793i | \(-0.885912\pi\) |
0.0442442 | + | 0.999021i | \(0.485912\pi\) | |||||||
\(830\) | −7.91652 | − | 5.75169i | −0.274786 | − | 0.199644i | ||||
\(831\) | −38.3364 | + | 52.7656i | −1.32988 | + | 1.83042i | ||||
\(832\) | 30.5370 | + | 15.5594i | 1.05868 | + | 0.539424i | ||||
\(833\) | −2.68263 | + | 1.36687i | −0.0929476 | + | 0.0473592i | ||||
\(834\) | −16.0509 | + | 16.0509i | −0.555799 | + | 0.555799i | ||||
\(835\) | −3.78907 | − | 23.9233i | −0.131126 | − | 0.827899i | ||||
\(836\) | − | 34.2586i | − | 1.18486i | ||||||
\(837\) | −0.947999 | + | 1.86055i | −0.0327676 | + | 0.0643101i | ||||
\(838\) | −16.3655 | + | 16.3655i | −0.565338 | + | 0.565338i | ||||
\(839\) | −20.3984 | − | 28.0760i | −0.704231 | − | 0.969292i | −0.999902 | − | 0.0140015i | \(-0.995543\pi\) |
0.295670 | − | 0.955290i | \(-0.404457\pi\) | |||||||
\(840\) | 10.2453 | − | 1.62270i | 0.353498 | − | 0.0559885i | ||||
\(841\) | 8.51042 | − | 26.1924i | 0.293463 | − | 0.903185i | ||||
\(842\) | 18.9089 | + | 58.1957i | 0.651644 | + | 2.00555i | ||||
\(843\) | 49.6942i | 1.71156i | ||||||||
\(844\) | 8.37709i | 0.288351i | ||||||||
\(845\) | −17.4333 | − | 53.6543i | −0.599725 | − | 1.84576i | ||||
\(846\) | 23.3068 | − | 71.7309i | 0.801304 | − | 2.46616i | ||||
\(847\) | 10.2883 | − | 1.62951i | 0.353511 | − | 0.0559906i | ||||
\(848\) | −17.3278 | − | 23.8497i | −0.595041 | − | 0.819003i | ||||
\(849\) | −13.1359 | + | 13.1359i | −0.450822 | + | 0.450822i | ||||
\(850\) | −7.75130 | + | 15.2128i | −0.265868 | + | 0.521794i | ||||
\(851\) | − | 1.96466i | − | 0.0673477i | ||||||
\(852\) | −3.68670 | − | 23.2769i | −0.126304 | − | 0.797454i | ||||
\(853\) | 7.60709 | − | 7.60709i | 0.260462 | − | 0.260462i | −0.564780 | − | 0.825242i | \(-0.691039\pi\) |
0.825242 | + | 0.564780i | \(0.191039\pi\) | |||||||
\(854\) | 6.66492 | − | 3.39595i | 0.228069 | − | 0.116207i | ||||
\(855\) | −114.543 | − | 58.3626i | −3.91729 | − | 1.99596i | ||||
\(856\) | 1.77070 | − | 2.43716i | 0.0605212 | − | 0.0833003i | ||||
\(857\) | 28.5210 | + | 20.7217i | 0.974258 | + | 0.707840i | 0.956418 | − | 0.292001i | \(-0.0943212\pi\) |
0.0178396 | + | 0.999841i | \(0.494321\pi\) | |||||||
\(858\) | −77.3432 | + | 56.1931i | −2.64045 | + | 1.91840i | ||||
\(859\) | 4.67776 | + | 29.5342i | 0.159603 | + | 1.00769i | 0.929311 | + | 0.369298i | \(0.120402\pi\) |
−0.769708 | + | 0.638396i | \(0.779598\pi\) | |||||||
\(860\) | 10.1627 | − | 19.9454i | 0.346545 | − | 0.680133i | ||||
\(861\) | 60.3169 | + | 9.55325i | 2.05559 | + | 0.325574i | ||||
\(862\) | 18.2088 | + | 35.7368i | 0.620194 | + | 1.21720i | ||||
\(863\) | 5.69902 | − | 35.9822i | 0.193997 | − | 1.22485i | −0.677898 | − | 0.735156i | \(-0.737109\pi\) |
0.871895 | − | 0.489693i | \(-0.162891\pi\) | |||||||
\(864\) | −75.0148 | − | 54.5015i | −2.55206 | − | 1.85418i | ||||
\(865\) | 5.61711 | + | 0.889663i | 0.190988 | + | 0.0302495i | ||||
\(866\) | −16.1605 | − | 49.7370i | −0.549157 | − | 1.69013i | ||||
\(867\) | −96.5901 | + | 70.1768i | −3.28037 | + | 2.38333i | ||||
\(868\) | −0.235025 | − | 0.723331i | −0.00797726 | − | 0.0245515i | ||||
\(869\) | 5.01134 | + | 9.83532i | 0.169998 | + | 0.333640i | ||||
\(870\) | 14.7746 | − | 10.7344i | 0.500907 | − | 0.363930i | ||||
\(871\) | −61.7799 | + | 31.4784i | −2.09333 | + | 1.06661i | ||||
\(872\) | −1.90278 | + | 3.73442i | −0.0644363 | + | 0.126463i | ||||
\(873\) | −3.03349 | + | 9.33611i | −0.102668 | + | 0.315979i | ||||
\(874\) | 12.3981 | + | 38.1574i | 0.419371 | + | 1.29069i | ||||
\(875\) | −17.2059 | + | 17.2059i | −0.581666 | + | 0.581666i | ||||
\(876\) | −20.5049 | + | 20.5049i | −0.692795 | + | 0.692795i | ||||
\(877\) | 17.6265 | + | 12.8064i | 0.595205 | + | 0.432442i | 0.844174 | − | 0.536070i | \(-0.180092\pi\) |
−0.248968 | + | 0.968512i | \(0.580092\pi\) | |||||||
\(878\) | 48.0683 | + | 7.61327i | 1.62223 | + | 0.256935i | ||||
\(879\) | 61.9077 | + | 9.80521i | 2.08809 | + | 0.330722i | ||||
\(880\) | 13.2856 | + | 26.0745i | 0.447857 | + | 0.878970i | ||||
\(881\) | −14.3480 | + | 44.1587i | −0.483397 | + | 1.48774i | 0.350891 | + | 0.936416i | \(0.385879\pi\) |
−0.834289 | + | 0.551328i | \(0.814121\pi\) | |||||||
\(882\) | −4.37028 | − | 3.17519i | −0.147155 | − | 0.106914i | ||||
\(883\) | 10.9003 | − | 33.5477i | 0.366825 | − | 1.12897i | −0.582006 | − | 0.813185i | \(-0.697732\pi\) |
0.948830 | − | 0.315786i | \(-0.102268\pi\) | |||||||
\(884\) | 72.9762 | + | 23.7114i | 2.45446 | + | 0.797501i | ||||
\(885\) | 42.5075 | + | 13.8115i | 1.42887 | + | 0.464269i | ||||
\(886\) | −3.59006 | + | 22.6667i | −0.120610 | + | 0.761504i | ||||
\(887\) | 12.8454 | − | 17.6802i | 0.431306 | − | 0.593641i | −0.536947 | − | 0.843616i | \(-0.680422\pi\) |
0.968252 | + | 0.249975i | \(0.0804224\pi\) | |||||||
\(888\) | −0.814858 | − | 0.814858i | −0.0273448 | − | 0.0273448i | ||||
\(889\) | 15.9607 | + | 5.18596i | 0.535306 | + | 0.173931i | ||||
\(890\) | 5.39807 | + | 10.5943i | 0.180944 | + | 0.355122i | ||||
\(891\) | 41.6814 | − | 21.2377i | 1.39638 | − | 0.711491i | ||||
\(892\) | 14.3969 | + | 19.8157i | 0.482046 | + | 0.663479i | ||||
\(893\) | −6.65472 | + | 42.0162i | −0.222692 | + | 1.40602i | ||||
\(894\) | 3.39719 | + | 0.538062i | 0.113619 | + | 0.0179955i | ||||
\(895\) | 4.62524 | − | 29.2026i | 0.154605 | − | 0.976136i | ||||
\(896\) | −10.3827 | + | 1.64446i | −0.346863 | + | 0.0549377i | ||||
\(897\) | 30.5487 | − | 42.0467i | 1.01999 | − | 1.40390i | ||||
\(898\) | 20.5614 | − | 40.3540i | 0.686143 | − | 1.34663i | ||||
\(899\) | 0.146030 | + | 0.146030i | 0.00487036 | + | 0.00487036i | ||||
\(900\) | −14.2203 | −0.474008 | ||||||||
\(901\) | −34.6300 | − | 34.6300i | −1.15369 | − | 1.15369i | ||||
\(902\) | 6.02400 | + | 38.0340i | 0.200577 | + | 1.26639i | ||||
\(903\) | −39.8648 | + | 12.9529i | −1.32662 | + | 0.431044i | ||||
\(904\) | −6.34267 | −0.210954 | ||||||||
\(905\) | 8.75932 | + | 2.84608i | 0.291170 | + | 0.0946068i | ||||
\(906\) | −31.3601 | + | 22.7845i | −1.04187 | + | 0.756963i | ||||
\(907\) | 11.1375 | + | 5.67481i | 0.369813 | + | 0.188429i | 0.629013 | − | 0.777394i | \(-0.283459\pi\) |
−0.259200 | + | 0.965824i | \(0.583459\pi\) | |||||||
\(908\) | −48.6890 | + | 7.71157i | −1.61580 | + | 0.255918i | ||||
\(909\) | −14.0468 | − | 27.5684i | −0.465903 | − | 0.914386i | ||||
\(910\) | −59.6512 | − | 43.3391i | −1.97742 | − | 1.43668i | ||||
\(911\) | 1.53725 | + | 2.11584i | 0.0509312 | + | 0.0701008i | 0.833723 | − | 0.552183i | \(-0.186205\pi\) |
−0.782792 | + | 0.622284i | \(0.786205\pi\) | |||||||
\(912\) | 93.8117 | + | 47.7994i | 3.10642 | + | 1.58280i | ||||
\(913\) | −4.77881 | + | 2.43493i | −0.158156 | + | 0.0805843i | ||||
\(914\) | 13.6432 | − | 18.7782i | 0.451277 | − | 0.621129i | ||||
\(915\) | 11.2187 | − | 3.64519i | 0.370880 | − | 0.120506i | ||||
\(916\) | −26.3067 | + | 8.54756i | −0.869197 | + | 0.282419i | ||||
\(917\) | 2.71321 | + | 3.73441i | 0.0895981 | + | 0.123321i | ||||
\(918\) | −155.923 | − | 79.4467i | −5.14623 | − | 2.62213i | ||||
\(919\) | 10.8013 | − | 3.50956i | 0.356302 | − | 0.115770i | −0.125396 | − | 0.992107i | \(-0.540020\pi\) |
0.481698 | + | 0.876337i | \(0.340020\pi\) | |||||||
\(920\) | −2.51440 | − | 2.51440i | −0.0828973 | − | 0.0828973i | ||||
\(921\) | −8.36356 | + | 52.8054i | −0.275589 | + | 1.74000i | ||||
\(922\) | −65.7612 | + | 33.5070i | −2.16573 | + | 1.10349i | ||||
\(923\) | 15.1863 | − | 20.9021i | 0.499863 | − | 0.688002i | ||||
\(924\) | −11.3914 | + | 35.0593i | −0.374751 | + | 1.15336i | ||||
\(925\) | −0.835665 | − | 0.132356i | −0.0274765 | − | 0.00435185i | ||||
\(926\) | 53.5399 | − | 53.5399i | 1.75943 | − | 1.75943i | ||||
\(927\) | −113.645 | + | 57.9048i | −3.73258 | + | 1.90184i | ||||
\(928\) | −7.41895 | + | 5.39018i | −0.243539 | + | 0.176941i | ||||
\(929\) | −0.288970 | + | 1.82448i | −0.00948079 | + | 0.0598593i | −0.991975 | − | 0.126433i | \(-0.959647\pi\) |
0.982494 | + | 0.186292i | \(0.0596471\pi\) | |||||||
\(930\) | −0.404184 | − | 2.55192i | −0.0132537 | − | 0.0836806i | ||||
\(931\) | 2.71475 | + | 1.38323i | 0.0889723 | + | 0.0453336i | ||||
\(932\) | − | 17.9452i | − | 0.587814i | ||||||
\(933\) | 82.8563 | − | 13.1232i | 2.71259 | − | 0.429633i | ||||
\(934\) | − | 69.9129i | − | 2.28762i | ||||||
\(935\) | 28.5756 | + | 39.3309i | 0.934521 | + | 1.28626i | ||||
\(936\) | −3.32163 | − | 20.9720i | −0.108571 | − | 0.685490i | ||||
\(937\) | 26.2685 | − | 36.1555i | 0.858154 | − | 1.18115i | −0.123853 | − | 0.992301i | \(-0.539525\pi\) |
0.982007 | − | 0.188847i | \(-0.0604749\pi\) | |||||||
\(938\) | −26.1479 | + | 51.3182i | −0.853760 | + | 1.67560i | ||||
\(939\) | 20.5679 | + | 14.9435i | 0.671209 | + | 0.487662i | ||||
\(940\) | 7.55413 | + | 23.2492i | 0.246388 | + | 0.758306i | ||||
\(941\) | 2.28644 | − | 4.48738i | 0.0745357 | − | 0.146285i | −0.850731 | − | 0.525601i | \(-0.823841\pi\) |
0.925267 | + | 0.379316i | \(0.123841\pi\) | |||||||
\(942\) | 90.5533 | − | 90.5533i | 2.95039 | − | 2.95039i | ||||
\(943\) | −9.50404 | − | 18.6527i | −0.309494 | − | 0.607417i | ||||
\(944\) | −24.2488 | − | 7.87890i | −0.789230 | − | 0.256436i | ||||
\(945\) | 55.1961 | + | 55.1961i | 1.79553 | + | 1.79553i | ||||
\(946\) | −15.5359 | − | 21.3833i | −0.505115 | − | 0.695231i | ||||
\(947\) | 54.7866 | − | 8.67735i | 1.78033 | − | 0.281976i | 0.822383 | − | 0.568934i | \(-0.192644\pi\) |
0.957943 | + | 0.286958i | \(0.0926439\pi\) | |||||||
\(948\) | 22.8220 | 0.741225 | ||||||||
\(949\) | −31.7906 | −1.03197 | ||||||||
\(950\) | 17.0654 | − | 2.70290i | 0.553675 | − | 0.0876935i | ||||
\(951\) | −12.8073 | − | 6.52562i | −0.415304 | − | 0.211608i | ||||
\(952\) | −9.34927 | + | 3.03776i | −0.303012 | + | 0.0984545i | ||||
\(953\) | 22.2572 | + | 22.2572i | 0.720980 | + | 0.720980i | 0.968805 | − | 0.247824i | \(-0.0797156\pi\) |
−0.247824 | + | 0.968805i | \(0.579716\pi\) | |||||||
\(954\) | 27.1532 | − | 83.5690i | 0.879118 | − | 2.70565i | ||||
\(955\) | 7.61724 | − | 5.53425i | 0.246488 | − | 0.179084i | ||||
\(956\) | − | 3.01482i | − | 0.0975062i | ||||||
\(957\) | −1.56586 | − | 9.88647i | −0.0506172 | − | 0.319584i | ||||
\(958\) | 9.68692 | + | 29.8133i | 0.312970 | + | 0.963223i | ||||
\(959\) | −3.56345 | − | 1.15783i | −0.115070 | − | 0.0373884i | ||||
\(960\) | 44.8944 | 1.44896 | ||||||||
\(961\) | −29.4550 | + | 9.57050i | −0.950160 | + | 0.308726i | ||||
\(962\) | 8.19128i | 0.264098i | ||||||||
\(963\) | 40.1729 | 1.29455 | ||||||||
\(964\) | 26.7803 | + | 2.53002i | 0.862537 | + | 0.0814866i | ||||
\(965\) | −33.1048 | −1.06568 | ||||||||
\(966\) | − | 43.1716i | − | 1.38902i | ||||||
\(967\) | 36.4455 | − | 11.8418i | 1.17201 | − | 0.380808i | 0.342615 | − | 0.939476i | \(-0.388687\pi\) |
0.829392 | + | 0.558668i | \(0.188687\pi\) | |||||||
\(968\) | −2.09448 | −0.0673192 | ||||||||
\(969\) | 166.350 | + | 54.0505i | 5.34395 | + | 1.73635i | ||||
\(970\) | −2.11805 | − | 6.51869i | −0.0680065 | − | 0.209303i | ||||
\(971\) | 8.58190 | + | 54.1840i | 0.275406 | + | 1.73885i | 0.606351 | + | 0.795197i | \(0.292633\pi\) |
−0.330945 | + | 0.943650i | \(0.607367\pi\) | |||||||
\(972\) | − | 33.2147i | − | 1.06536i | ||||||
\(973\) | −7.76305 | + | 5.64019i | −0.248872 | + | 0.180816i | ||||
\(974\) | −7.12763 | + | 21.9366i | −0.228384 | + | 0.702894i | ||||
\(975\) | −15.8265 | − | 15.8265i | −0.506852 | − | 0.506852i | ||||
\(976\) | −6.39981 | + | 2.07943i | −0.204853 | + | 0.0665608i | ||||
\(977\) | 23.9565 | + | 12.2064i | 0.766436 | + | 0.390519i | 0.793073 | − | 0.609126i | \(-0.208480\pi\) |
−0.0266368 | + | 0.999645i | \(0.508480\pi\) | |||||||
\(978\) | −119.319 | + | 18.8983i | −3.81541 | + | 0.604302i | ||||
\(979\) | 6.51709 | 0.208287 | ||||||||
\(980\) | 1.75087 | 0.0559294 | ||||||||
\(981\) | −55.2039 | + | 8.74344i | −1.76252 | + | 0.279156i | ||||
\(982\) | 12.1544 | + | 16.7292i | 0.387864 | + | 0.533849i | ||||
\(983\) | −29.5403 | − | 29.5403i | −0.942190 | − | 0.942190i | 0.0562279 | − | 0.998418i | \(-0.482093\pi\) |
−0.998418 | + | 0.0562279i | \(0.982093\pi\) | |||||||
\(984\) | −11.6782 | − | 3.79449i | −0.372289 | − | 0.120964i | ||||
\(985\) | −12.3342 | − | 24.2073i | −0.393001 | − | 0.771308i | ||||
\(986\) | −12.2380 | + | 12.2380i | −0.389736 | + | 0.389736i | ||||
\(987\) | 20.7812 | − | 40.7853i | 0.661472 | − | 1.29821i | ||||
\(988\) | −23.9953 | − | 73.8500i | −0.763393 | − | 2.34948i | ||||
\(989\) | 11.6248 | + | 8.44588i | 0.369646 | + | 0.268563i | ||||
\(990\) | −39.5999 | + | 77.7192i | −1.25857 | + | 2.47008i | ||||
\(991\) | −10.3634 | + | 14.2640i | −0.329204 | + | 0.453111i | −0.941250 | − | 0.337712i | \(-0.890347\pi\) |
0.612045 | + | 0.790823i | \(0.290347\pi\) | |||||||
\(992\) | 0.202957 | + | 1.28142i | 0.00644390 | + | 0.0406852i | ||||
\(993\) | 42.5386 | + | 58.5494i | 1.34992 | + | 1.85801i | ||||
\(994\) | − | 21.4613i | − | 0.680713i | ||||||
\(995\) | 21.2686 | − | 3.36861i | 0.674260 | − | 0.106792i | ||||
\(996\) | 11.0888i | 0.351363i | ||||||||
\(997\) | 5.95083 | + | 3.03210i | 0.188465 | + | 0.0960276i | 0.545677 | − | 0.837996i | \(-0.316273\pi\) |
−0.357212 | + | 0.934023i | \(0.616273\pi\) | |||||||
\(998\) | −6.41942 | − | 40.5306i | −0.203203 | − | 1.28297i | ||||
\(999\) | 1.35658 | − | 8.56512i | 0.0429204 | − | 0.270989i |
(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 | 241.2.l.a.201.3 | yes | 144 | |
241.6 | even | 20 | inner | 241.2.l.a.6.16 | ✓ | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
241.2.l.a.6.16 | ✓ | 144 | 241.6 | even | 20 | inner | |
241.2.l.a.201.3 | yes | 144 | 1.1 | even | 1 | trivial |