Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(10,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bf (of order \(66\), degree \(20\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 388.26 | ||
Character | \(\chi\) | \(=\) | 483.388 |
Dual form | 483.2.bf.a.61.26 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{5}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.29838 | − | 1.02106i | 0.918096 | − | 0.721998i | −0.0427492 | − | 0.999086i | \(-0.513612\pi\) |
0.960845 | + | 0.277088i | \(0.0893692\pi\) | |||||||
\(3\) | −0.814576 | + | 0.580057i | −0.470296 | + | 0.334896i | ||||
\(4\) | 0.171718 | − | 0.707830i | 0.0858589 | − | 0.353915i | ||||
\(5\) | 0.682795 | + | 0.131598i | 0.305355 | + | 0.0588524i | 0.339627 | − | 0.940560i | \(-0.389699\pi\) |
−0.0342720 | + | 0.999413i | \(0.510911\pi\) | |||||||
\(6\) | −0.465359 | + | 1.58487i | −0.189982 | + | 0.647019i | ||||
\(7\) | 2.26501 | − | 1.36739i | 0.856092 | − | 0.516824i | ||||
\(8\) | 0.872563 | + | 1.91065i | 0.308498 | + | 0.675515i | ||||
\(9\) | 0.327068 | − | 0.945001i | 0.109023 | − | 0.315000i | ||||
\(10\) | 1.02090 | − | 0.526310i | 0.322836 | − | 0.166434i | ||||
\(11\) | −2.09562 | + | 2.66479i | −0.631852 | + | 0.803465i | −0.991567 | − | 0.129597i | \(-0.958632\pi\) |
0.359715 | + | 0.933062i | \(0.382874\pi\) | |||||||
\(12\) | 0.270705 | + | 0.676188i | 0.0781457 | + | 0.195199i | ||||
\(13\) | 0.864444 | − | 1.34510i | 0.239754 | − | 0.373064i | −0.700436 | − | 0.713715i | \(-0.747011\pi\) |
0.940190 | + | 0.340651i | \(0.110647\pi\) | |||||||
\(14\) | 1.54466 | − | 4.08810i | 0.412828 | − | 1.09259i | ||||
\(15\) | −0.632522 | + | 0.288863i | −0.163317 | + | 0.0745842i | ||||
\(16\) | 4.37859 | + | 2.25732i | 1.09465 | + | 0.564330i | ||||
\(17\) | 3.99965 | − | 3.81366i | 0.970059 | − | 0.924949i | −0.0271487 | − | 0.999631i | \(-0.508643\pi\) |
0.997207 | + | 0.0746823i | \(0.0237943\pi\) | |||||||
\(18\) | −0.540243 | − | 1.56093i | −0.127336 | − | 0.367915i | ||||
\(19\) | 4.05104 | + | 3.86266i | 0.929372 | + | 0.886154i | 0.993734 | − | 0.111772i | \(-0.0356528\pi\) |
−0.0643621 | + | 0.997927i | \(0.520501\pi\) | |||||||
\(20\) | 0.210397 | − | 0.460705i | 0.0470462 | − | 0.103017i | ||||
\(21\) | −1.05186 | + | 2.42767i | −0.229534 | + | 0.529762i | ||||
\(22\) | 5.59967i | 1.19385i | ||||||||
\(23\) | 3.31934 | + | 3.46150i | 0.692131 | + | 0.721772i | ||||
\(24\) | −1.81905 | − | 1.05023i | −0.371312 | − | 0.214377i | ||||
\(25\) | −4.19295 | − | 1.67860i | −0.838590 | − | 0.335721i | ||||
\(26\) | −0.251049 | − | 2.62911i | −0.0492348 | − | 0.515610i | ||||
\(27\) | 0.281733 | + | 0.959493i | 0.0542195 | + | 0.184655i | ||||
\(28\) | −0.578936 | − | 1.83805i | −0.109409 | − | 0.347358i | ||||
\(29\) | −2.35684 | − | 0.692031i | −0.437654 | − | 0.128507i | 0.0554805 | − | 0.998460i | \(-0.482331\pi\) |
−0.493135 | + | 0.869953i | \(0.664149\pi\) | |||||||
\(30\) | −0.526310 | + | 1.02090i | −0.0960906 | + | 0.186390i | ||||
\(31\) | 0.692946 | − | 7.25686i | 0.124457 | − | 1.30337i | −0.690281 | − | 0.723541i | \(-0.742513\pi\) |
0.814738 | − | 0.579829i | \(-0.196881\pi\) | |||||||
\(32\) | 3.86495 | − | 0.744907i | 0.683232 | − | 0.131682i | ||||
\(33\) | 0.161307 | − | 3.38625i | 0.0280800 | − | 0.589471i | ||||
\(34\) | 1.29911 | − | 9.03548i | 0.222795 | − | 1.54957i | ||||
\(35\) | 1.72648 | − | 0.635575i | 0.291828 | − | 0.107432i | ||||
\(36\) | −0.612737 | − | 0.393782i | −0.102123 | − | 0.0656304i | ||||
\(37\) | −8.00474 | − | 2.77047i | −1.31597 | − | 0.455462i | −0.423226 | − | 0.906024i | \(-0.639102\pi\) |
−0.892745 | + | 0.450562i | \(0.851224\pi\) | |||||||
\(38\) | 9.20380 | + | 0.878857i | 1.49305 | + | 0.142569i | ||||
\(39\) | 0.0760799 | + | 1.59711i | 0.0121825 | + | 0.255743i | ||||
\(40\) | 0.344344 | + | 1.41941i | 0.0544456 | + | 0.224428i | ||||
\(41\) | 8.73785 | + | 7.57139i | 1.36462 | + | 1.18245i | 0.963904 | + | 0.266251i | \(0.0857851\pi\) |
0.400719 | + | 0.916201i | \(0.368760\pi\) | |||||||
\(42\) | 1.11309 | + | 4.22606i | 0.171753 | + | 0.652095i | ||||
\(43\) | −6.54426 | − | 2.98866i | −0.997990 | − | 0.455767i | −0.151664 | − | 0.988432i | \(-0.548463\pi\) |
−0.846326 | + | 0.532666i | \(0.821190\pi\) | |||||||
\(44\) | 1.52637 | + | 1.94093i | 0.230108 | + | 0.292607i | ||||
\(45\) | 0.347680 | − | 0.602200i | 0.0518291 | − | 0.0897707i | ||||
\(46\) | 7.84417 | + | 1.10510i | 1.15656 | + | 0.162939i | ||||
\(47\) | −1.10971 | + | 0.640689i | −0.161867 | + | 0.0934541i | −0.578745 | − | 0.815508i | \(-0.696457\pi\) |
0.416878 | + | 0.908962i | \(0.363124\pi\) | |||||||
\(48\) | −4.87607 | + | 0.701073i | −0.703800 | + | 0.101191i | ||||
\(49\) | 3.26051 | − | 6.19428i | 0.465787 | − | 0.884897i | ||||
\(50\) | −7.15801 | + | 2.10178i | −1.01230 | + | 0.297237i | ||||
\(51\) | −1.04588 | + | 5.42655i | −0.146453 | + | 0.759868i | ||||
\(52\) | −0.803663 | − | 0.842858i | −0.111448 | − | 0.116883i | ||||
\(53\) | −9.75680 | + | 0.464774i | −1.34020 | + | 0.0638416i | −0.705386 | − | 0.708824i | \(-0.749226\pi\) |
−0.634814 | + | 0.772665i | \(0.718923\pi\) | |||||||
\(54\) | 1.34550 | + | 0.958124i | 0.183099 | + | 0.130384i | ||||
\(55\) | −1.78156 | + | 1.54373i | −0.240225 | + | 0.208156i | ||||
\(56\) | 4.58895 | + | 3.13449i | 0.613225 | + | 0.418864i | ||||
\(57\) | −5.54044 | − | 0.796595i | −0.733849 | − | 0.105512i | ||||
\(58\) | −3.76669 | + | 1.50795i | −0.494590 | + | 0.198004i | ||||
\(59\) | −3.95337 | − | 7.66848i | −0.514686 | − | 0.998351i | −0.992769 | − | 0.120037i | \(-0.961699\pi\) |
0.478084 | − | 0.878314i | \(-0.341331\pi\) | |||||||
\(60\) | 0.0958509 | + | 0.497322i | 0.0123743 | + | 0.0642040i | ||||
\(61\) | −2.25491 | + | 3.16658i | −0.288712 | + | 0.405439i | −0.933304 | − | 0.359088i | \(-0.883088\pi\) |
0.644592 | + | 0.764527i | \(0.277027\pi\) | |||||||
\(62\) | −6.50998 | − | 10.1297i | −0.826768 | − | 1.28648i | ||||
\(63\) | −0.551371 | − | 2.58766i | −0.0694662 | − | 0.326015i | ||||
\(64\) | −2.19438 | + | 2.53245i | −0.274298 | + | 0.316556i | ||||
\(65\) | 0.767250 | − | 0.804669i | 0.0951657 | − | 0.0998069i | ||||
\(66\) | −3.24813 | − | 4.56136i | −0.399817 | − | 0.561464i | ||||
\(67\) | −0.828051 | + | 2.06837i | −0.101163 | + | 0.252692i | −0.970312 | − | 0.241859i | \(-0.922243\pi\) |
0.869149 | + | 0.494550i | \(0.164667\pi\) | |||||||
\(68\) | −2.01261 | − | 3.48595i | −0.244065 | − | 0.422734i | ||||
\(69\) | −4.71172 | − | 0.894246i | −0.567225 | − | 0.107655i | ||||
\(70\) | 1.59267 | − | 2.58806i | 0.190361 | − | 0.309332i | ||||
\(71\) | 2.03278 | + | 14.1383i | 0.241247 | + | 1.67791i | 0.645887 | + | 0.763433i | \(0.276488\pi\) |
−0.404640 | + | 0.914476i | \(0.632603\pi\) | |||||||
\(72\) | 2.09095 | − | 0.199661i | 0.246421 | − | 0.0235303i | ||||
\(73\) | −15.6197 | − | 3.78929i | −1.82814 | − | 0.443502i | −0.834017 | − | 0.551739i | \(-0.813964\pi\) |
−0.994125 | + | 0.108237i | \(0.965480\pi\) | |||||||
\(74\) | −13.2220 | + | 4.57619i | −1.53703 | + | 0.531971i | ||||
\(75\) | 4.38916 | − | 1.06480i | 0.506817 | − | 0.122952i | ||||
\(76\) | 3.42974 | − | 2.20416i | 0.393418 | − | 0.252835i | ||||
\(77\) | −1.10278 | + | 8.90129i | −0.125674 | + | 1.01440i | ||||
\(78\) | 1.72953 | + | 1.99598i | 0.195831 | + | 0.226001i | ||||
\(79\) | 11.8464 | + | 0.564315i | 1.33283 | + | 0.0634904i | 0.701858 | − | 0.712317i | \(-0.252354\pi\) |
0.630970 | + | 0.775808i | \(0.282657\pi\) | |||||||
\(80\) | 2.69262 | + | 2.11750i | 0.301044 | + | 0.236744i | ||||
\(81\) | −0.786053 | − | 0.618159i | −0.0873392 | − | 0.0686843i | ||||
\(82\) | 19.0759 | + | 0.908698i | 2.10658 | + | 0.100349i | ||||
\(83\) | −6.10485 | − | 7.04537i | −0.670094 | − | 0.773330i | 0.314297 | − | 0.949325i | \(-0.398231\pi\) |
−0.984391 | + | 0.175995i | \(0.943686\pi\) | |||||||
\(84\) | 1.53776 | + | 1.16141i | 0.167783 | + | 0.126720i | ||||
\(85\) | 3.23281 | − | 2.07760i | 0.350648 | − | 0.225348i | ||||
\(86\) | −11.5486 | + | 2.80165i | −1.24531 | + | 0.302110i | ||||
\(87\) | 2.32124 | − | 0.803390i | 0.248863 | − | 0.0861325i | ||||
\(88\) | −6.92003 | − | 1.67878i | −0.737678 | − | 0.178959i | ||||
\(89\) | −11.2130 | + | 1.07071i | −1.18857 | + | 0.113495i | −0.670545 | − | 0.741869i | \(-0.733940\pi\) |
−0.518027 | + | 0.855364i | \(0.673334\pi\) | |||||||
\(90\) | −0.163460 | − | 1.13689i | −0.0172302 | − | 0.119839i | ||||
\(91\) | 0.118697 | − | 4.22869i | 0.0124429 | − | 0.443287i | ||||
\(92\) | 3.02014 | − | 1.75513i | 0.314872 | − | 0.182985i | ||||
\(93\) | 3.64493 | + | 6.31321i | 0.377962 | + | 0.654650i | ||||
\(94\) | −0.786642 | + | 1.96494i | −0.0811359 | + | 0.202668i | ||||
\(95\) | 2.25771 | + | 3.17051i | 0.231636 | + | 0.325287i | ||||
\(96\) | −2.71620 | + | 2.84867i | −0.277221 | + | 0.290741i | ||||
\(97\) | −3.89631 | + | 4.49658i | −0.395610 | + | 0.456558i | −0.918254 | − | 0.395993i | \(-0.870400\pi\) |
0.522644 | + | 0.852551i | \(0.324946\pi\) | |||||||
\(98\) | −2.09134 | − | 11.3717i | −0.211258 | − | 1.14872i | ||||
\(99\) | 1.83282 | + | 2.85193i | 0.184206 | + | 0.286629i | ||||
\(100\) | −1.90817 | + | 2.67965i | −0.190817 | + | 0.267965i | ||||
\(101\) | 1.36256 | + | 7.06964i | 0.135580 | + | 0.703455i | 0.984562 | + | 0.175034i | \(0.0560036\pi\) |
−0.848982 | + | 0.528421i | \(0.822784\pi\) | |||||||
\(102\) | 4.18287 | + | 8.11364i | 0.414166 | + | 0.803370i | ||||
\(103\) | 10.4982 | − | 4.20286i | 1.03442 | − | 0.414120i | 0.208570 | − | 0.978007i | \(-0.433119\pi\) |
0.825852 | + | 0.563888i | \(0.190695\pi\) | |||||||
\(104\) | 3.32429 | + | 0.477961i | 0.325974 | + | 0.0468680i | ||||
\(105\) | −1.03768 | + | 1.51918i | −0.101267 | + | 0.148257i | ||||
\(106\) | −12.1935 | + | 10.5657i | −1.18434 | + | 1.02623i | ||||
\(107\) | −7.01448 | − | 4.99499i | −0.678115 | − | 0.482884i | 0.188362 | − | 0.982100i | \(-0.439682\pi\) |
−0.866478 | + | 0.499216i | \(0.833621\pi\) | |||||||
\(108\) | 0.727537 | − | 0.0346569i | 0.0700073 | − | 0.00333486i | ||||
\(109\) | −9.56319 | − | 10.0296i | −0.915987 | − | 0.960660i | 0.0833695 | − | 0.996519i | \(-0.473432\pi\) |
−0.999357 | + | 0.0358588i | \(0.988583\pi\) | |||||||
\(110\) | −0.736905 | + | 3.82343i | −0.0702611 | + | 0.364549i | ||||
\(111\) | 8.12750 | − | 2.38645i | 0.771428 | − | 0.226512i | ||||
\(112\) | 13.0042 | − | 0.874383i | 1.22878 | − | 0.0826214i | ||||
\(113\) | 14.4115 | − | 2.07206i | 1.35572 | − | 0.194923i | 0.574156 | − | 0.818746i | \(-0.305330\pi\) |
0.781566 | + | 0.623822i | \(0.214421\pi\) | |||||||
\(114\) | −8.00698 | + | 4.62283i | −0.749923 | + | 0.432968i | ||||
\(115\) | 1.81090 | + | 2.80031i | 0.168868 | + | 0.261130i | ||||
\(116\) | −0.894552 | + | 1.54941i | −0.0830571 | + | 0.143859i | ||||
\(117\) | −0.988390 | − | 1.25684i | −0.0913767 | − | 0.116195i | ||||
\(118\) | −12.9630 | − | 5.91999i | −1.19334 | − | 0.544979i | ||||
\(119\) | 3.84449 | − | 14.1070i | 0.352424 | − | 1.29319i | ||||
\(120\) | −1.10383 | − | 0.956475i | −0.100766 | − | 0.0873138i | ||||
\(121\) | −0.116164 | − | 0.478836i | −0.0105604 | − | 0.0435305i | ||||
\(122\) | 0.305529 | + | 6.41383i | 0.0276613 | + | 0.580681i | ||||
\(123\) | −11.5095 | − | 1.09902i | −1.03777 | − | 0.0990955i | ||||
\(124\) | −5.01763 | − | 1.73662i | −0.450597 | − | 0.155953i | ||||
\(125\) | −5.56690 | − | 3.57763i | −0.497918 | − | 0.319993i | ||||
\(126\) | −3.35805 | − | 2.79679i | −0.299159 | − | 0.249158i | ||||
\(127\) | 1.66093 | − | 11.5520i | 0.147384 | − | 1.02508i | −0.773096 | − | 0.634289i | \(-0.781293\pi\) |
0.920480 | − | 0.390790i | \(-0.127798\pi\) | |||||||
\(128\) | −0.637936 | + | 13.3919i | −0.0563861 | + | 1.18369i | ||||
\(129\) | 7.06439 | − | 1.36155i | 0.621985 | − | 0.119878i | ||||
\(130\) | 0.174570 | − | 1.82818i | 0.0153108 | − | 0.160342i | ||||
\(131\) | −4.83748 | + | 9.38341i | −0.422653 | + | 0.819832i | 0.577341 | + | 0.816503i | \(0.304090\pi\) |
−0.999994 | + | 0.00332964i | \(0.998940\pi\) | |||||||
\(132\) | −2.36919 | − | 0.695658i | −0.206212 | − | 0.0605492i | ||||
\(133\) | 14.4574 | + | 3.20961i | 1.25361 | + | 0.278308i | ||||
\(134\) | 1.03680 | + | 3.53103i | 0.0895661 | + | 0.305034i | ||||
\(135\) | 0.0660983 | + | 0.692212i | 0.00568883 | + | 0.0595761i | ||||
\(136\) | 10.7765 | + | 4.31426i | 0.924078 | + | 0.369945i | ||||
\(137\) | 4.34564 | + | 2.50896i | 0.371273 | + | 0.214355i | 0.674014 | − | 0.738718i | \(-0.264569\pi\) |
−0.302741 | + | 0.953073i | \(0.597902\pi\) | |||||||
\(138\) | −7.03070 | + | 3.64988i | −0.598493 | + | 0.310698i | ||||
\(139\) | − | 16.6740i | − | 1.41427i | −0.707079 | − | 0.707135i | \(-0.749987\pi\) | ||
0.707079 | − | 0.707135i | \(-0.250013\pi\) | |||||||
\(140\) | −0.153412 | − | 1.33119i | −0.0129657 | − | 0.112506i | ||||
\(141\) | 0.532304 | − | 1.16558i | 0.0448280 | − | 0.0981597i | ||||
\(142\) | 17.0754 | + | 16.2814i | 1.43294 | + | 1.36630i | ||||
\(143\) | 1.77287 | + | 5.12238i | 0.148255 | + | 0.428355i | ||||
\(144\) | 3.56527 | − | 3.39948i | 0.297106 | − | 0.283290i | ||||
\(145\) | −1.51817 | − | 0.782670i | −0.126077 | − | 0.0649972i | ||||
\(146\) | −24.1494 | + | 11.0287i | −1.99862 | + | 0.912738i | ||||
\(147\) | 0.937105 | + | 6.93699i | 0.0772911 | + | 0.572153i | ||||
\(148\) | −3.33558 | + | 5.19026i | −0.274183 | + | 0.426637i | ||||
\(149\) | −2.44570 | − | 6.10906i | −0.200360 | − | 0.500474i | 0.793827 | − | 0.608143i | \(-0.208085\pi\) |
−0.994187 | + | 0.107669i | \(0.965661\pi\) | |||||||
\(150\) | 4.61159 | − | 5.86411i | 0.376535 | − | 0.478803i | ||||
\(151\) | −2.13811 | + | 1.10227i | −0.173997 | + | 0.0897016i | −0.543025 | − | 0.839717i | \(-0.682721\pi\) |
0.369028 | + | 0.929418i | \(0.379691\pi\) | |||||||
\(152\) | −3.84538 | + | 11.1105i | −0.311902 | + | 0.901181i | ||||
\(153\) | −2.29576 | − | 5.02700i | −0.185601 | − | 0.406409i | ||||
\(154\) | 7.65692 | + | 12.6833i | 0.617012 | + | 1.02205i | ||||
\(155\) | 1.42813 | − | 4.86376i | 0.114710 | − | 0.390666i | ||||
\(156\) | 1.14355 | + | 0.220401i | 0.0915573 | + | 0.0176462i | ||||
\(157\) | 1.26014 | − | 5.19439i | 0.100570 | − | 0.414557i | −0.899164 | − | 0.437612i | \(-0.855824\pi\) |
0.999734 | + | 0.0230552i | \(0.00733935\pi\) | |||||||
\(158\) | 15.9574 | − | 11.3632i | 1.26950 | − | 0.904009i | ||||
\(159\) | 7.67806 | − | 6.03809i | 0.608910 | − | 0.478852i | ||||
\(160\) | 2.73699 | 0.216378 | ||||||||
\(161\) | 12.2515 | + | 3.30149i | 0.965556 | + | 0.260194i | ||||
\(162\) | −1.65178 | −0.129776 | ||||||||
\(163\) | 6.79028 | − | 5.33993i | 0.531856 | − | 0.418256i | −0.315782 | − | 0.948832i | \(-0.602267\pi\) |
0.847637 | + | 0.530576i | \(0.178024\pi\) | |||||||
\(164\) | 6.85970 | − | 4.88477i | 0.535653 | − | 0.381437i | ||||
\(165\) | 0.555763 | − | 2.29089i | 0.0432661 | − | 0.178345i | ||||
\(166\) | −15.1202 | − | 2.91417i | −1.17355 | − | 0.226184i | ||||
\(167\) | 0.789516 | − | 2.68884i | 0.0610946 | − | 0.208069i | −0.923289 | − | 0.384106i | \(-0.874510\pi\) |
0.984384 | + | 0.176037i | \(0.0563279\pi\) | |||||||
\(168\) | −5.55624 | + | 0.108570i | −0.428673 | + | 0.00837636i | ||||
\(169\) | 4.33836 | + | 9.49969i | 0.333720 | + | 0.730745i | ||||
\(170\) | 2.07607 | − | 5.99842i | 0.159228 | − | 0.460058i | ||||
\(171\) | 4.97518 | − | 2.56488i | 0.380461 | − | 0.196141i | ||||
\(172\) | −3.23923 | + | 4.11902i | −0.246989 | + | 0.314072i | ||||
\(173\) | −2.18799 | − | 5.46535i | −0.166350 | − | 0.415523i | 0.821647 | − | 0.569997i | \(-0.193056\pi\) |
−0.987997 | + | 0.154475i | \(0.950632\pi\) | |||||||
\(174\) | 2.19355 | − | 3.41324i | 0.166293 | − | 0.258757i | ||||
\(175\) | −11.7924 | + | 1.93134i | −0.891418 | + | 0.145995i | ||||
\(176\) | −15.1911 | + | 6.93756i | −1.14508 | + | 0.522938i | ||||
\(177\) | 7.66848 | + | 3.95337i | 0.576398 | + | 0.297154i | ||||
\(178\) | −13.4655 | + | 12.8393i | −1.00928 | + | 0.962346i | ||||
\(179\) | 7.69641 | + | 22.2373i | 0.575257 | + | 1.66210i | 0.737502 | + | 0.675345i | \(0.236005\pi\) |
−0.162245 | + | 0.986751i | \(0.551873\pi\) | |||||||
\(180\) | −0.366553 | − | 0.349507i | −0.0273212 | − | 0.0260507i | ||||
\(181\) | 10.8123 | − | 23.6755i | 0.803668 | − | 1.75979i | 0.171146 | − | 0.985246i | \(-0.445253\pi\) |
0.632522 | − | 0.774542i | \(-0.282020\pi\) | |||||||
\(182\) | −4.16363 | − | 5.61166i | −0.308629 | − | 0.415964i | ||||
\(183\) | − | 3.88740i | − | 0.287365i | ||||||
\(184\) | −3.71736 | + | 9.36246i | −0.274048 | + | 0.690210i | ||||
\(185\) | −5.10101 | − | 2.94507i | −0.375033 | − | 0.216526i | ||||
\(186\) | 11.1787 | + | 4.47527i | 0.819661 | + | 0.328143i | ||||
\(187\) | 1.78088 | + | 18.6502i | 0.130231 | + | 1.36384i | ||||
\(188\) | 0.262943 | + | 0.895501i | 0.0191771 | + | 0.0653111i | ||||
\(189\) | 1.95012 | + | 1.78802i | 0.141851 | + | 0.130059i | ||||
\(190\) | 6.16865 | + | 1.81128i | 0.447521 | + | 0.131404i | ||||
\(191\) | 9.04008 | − | 17.5353i | 0.654118 | − | 1.26881i | −0.295483 | − | 0.955348i | \(-0.595481\pi\) |
0.949600 | − | 0.313463i | \(-0.101489\pi\) | |||||||
\(192\) | 0.318525 | − | 3.33574i | 0.0229875 | − | 0.240736i | ||||
\(193\) | −1.78453 | + | 0.343941i | −0.128454 | + | 0.0247574i | −0.253073 | − | 0.967447i | \(-0.581441\pi\) |
0.124619 | + | 0.992205i | \(0.460229\pi\) | |||||||
\(194\) | −0.467624 | + | 9.81664i | −0.0335735 | + | 0.704794i | ||||
\(195\) | −0.158230 | + | 1.10051i | −0.0113311 | + | 0.0788094i | ||||
\(196\) | −3.82461 | − | 3.37155i | −0.273187 | − | 0.240825i | ||||
\(197\) | −7.14677 | − | 4.59295i | −0.509186 | − | 0.327234i | 0.260695 | − | 0.965421i | \(-0.416048\pi\) |
−0.769881 | + | 0.638187i | \(0.779685\pi\) | |||||||
\(198\) | 5.29169 | + | 1.83147i | 0.376064 | + | 0.130157i | ||||
\(199\) | 5.43645 | + | 0.519118i | 0.385380 | + | 0.0367993i | 0.285948 | − | 0.958245i | \(-0.407691\pi\) |
0.0994318 | + | 0.995044i | \(0.468298\pi\) | |||||||
\(200\) | −0.451394 | − | 9.47593i | −0.0319184 | − | 0.670049i | ||||
\(201\) | −0.525263 | − | 2.16516i | −0.0370492 | − | 0.152719i | ||||
\(202\) | 8.98765 | + | 7.78784i | 0.632369 | + | 0.547951i | ||||
\(203\) | −6.28453 | + | 1.65526i | −0.441088 | + | 0.116176i | ||||
\(204\) | 3.66148 | + | 1.67214i | 0.256355 | + | 0.117073i | ||||
\(205\) | 4.96978 | + | 6.31959i | 0.347104 | + | 0.441379i | ||||
\(206\) | 9.33936 | − | 16.1762i | 0.650704 | − | 1.12705i | ||||
\(207\) | 4.35677 | − | 2.00464i | 0.302816 | − | 0.139332i | ||||
\(208\) | 6.82137 | − | 3.93832i | 0.472977 | − | 0.273074i | ||||
\(209\) | −18.7826 | + | 2.70053i | −1.29922 | + | 0.186800i | ||||
\(210\) | 0.203868 | + | 3.03201i | 0.0140683 | + | 0.209229i | ||||
\(211\) | −7.27048 | + | 2.13480i | −0.500520 | + | 0.146966i | −0.522241 | − | 0.852798i | \(-0.674904\pi\) |
0.0217206 | + | 0.999764i | \(0.493086\pi\) | |||||||
\(212\) | −1.34644 | + | 6.98597i | −0.0924736 | + | 0.479798i | ||||
\(213\) | −9.85688 | − | 10.3376i | −0.675382 | − | 0.708321i | ||||
\(214\) | −14.2077 | + | 0.676794i | −0.971216 | + | 0.0462647i | ||||
\(215\) | −4.07508 | − | 2.90185i | −0.277918 | − | 0.197905i | ||||
\(216\) | −1.58742 | + | 1.37551i | −0.108010 | + | 0.0935915i | ||||
\(217\) | −8.35341 | − | 17.3844i | −0.567066 | − | 1.18013i | ||||
\(218\) | −22.6575 | − | 3.25766i | −1.53456 | − | 0.220636i | ||||
\(219\) | 14.9214 | − | 5.97363i | 1.00829 | − | 0.403660i | ||||
\(220\) | 0.786772 | + | 1.52613i | 0.0530442 | + | 0.102891i | ||||
\(221\) | −1.67229 | − | 8.67664i | −0.112490 | − | 0.583654i | ||||
\(222\) | 8.11590 | − | 11.3972i | 0.544703 | − | 0.764929i | ||||
\(223\) | 4.70778 | + | 7.32545i | 0.315256 | + | 0.490549i | 0.962332 | − | 0.271877i | \(-0.0876445\pi\) |
−0.647076 | + | 0.762426i | \(0.724008\pi\) | |||||||
\(224\) | 7.73555 | − | 6.97210i | 0.516853 | − | 0.465843i | ||||
\(225\) | −2.95766 | + | 3.41332i | −0.197177 | + | 0.227555i | ||||
\(226\) | 16.5960 | − | 17.4054i | 1.10395 | − | 1.15779i | ||||
\(227\) | 5.30498 | + | 7.44980i | 0.352104 | + | 0.494460i | 0.952203 | − | 0.305465i | \(-0.0988118\pi\) |
−0.600100 | + | 0.799925i | \(0.704872\pi\) | |||||||
\(228\) | −1.51525 | + | 3.78490i | −0.100350 | + | 0.250661i | ||||
\(229\) | −2.78125 | − | 4.81726i | −0.183790 | − | 0.318334i | 0.759378 | − | 0.650650i | \(-0.225503\pi\) |
−0.943168 | + | 0.332316i | \(0.892170\pi\) | |||||||
\(230\) | 5.21053 | + | 1.78684i | 0.343572 | + | 0.117821i | ||||
\(231\) | −4.26496 | − | 7.89045i | −0.280613 | − | 0.519154i | ||||
\(232\) | −0.734266 | − | 5.10693i | −0.0482069 | − | 0.335286i | ||||
\(233\) | −10.2699 | + | 0.980655i | −0.672802 | + | 0.0642448i | −0.425865 | − | 0.904787i | \(-0.640030\pi\) |
−0.246937 | + | 0.969031i | \(0.579424\pi\) | |||||||
\(234\) | −2.56662 | − | 0.622655i | −0.167785 | − | 0.0407042i | ||||
\(235\) | −0.842015 | + | 0.291424i | −0.0549270 | + | 0.0190104i | ||||
\(236\) | −6.10685 | + | 1.48150i | −0.397522 | + | 0.0964378i | ||||
\(237\) | −9.97715 | + | 6.41192i | −0.648085 | + | 0.416499i | ||||
\(238\) | −9.41252 | − | 22.2418i | −0.610123 | − | 1.44172i | ||||
\(239\) | 7.71333 | + | 8.90165i | 0.498934 | + | 0.575800i | 0.948231 | − | 0.317582i | \(-0.102871\pi\) |
−0.449297 | + | 0.893382i | \(0.648326\pi\) | |||||||
\(240\) | −3.42162 | − | 0.162992i | −0.220864 | − | 0.0105211i | ||||
\(241\) | −4.62156 | − | 3.63444i | −0.297701 | − | 0.234115i | 0.458124 | − | 0.888888i | \(-0.348522\pi\) |
−0.755825 | + | 0.654774i | \(0.772764\pi\) | |||||||
\(242\) | −0.639746 | − | 0.503101i | −0.0411244 | − | 0.0323406i | ||||
\(243\) | 0.998867 | + | 0.0475819i | 0.0640774 | + | 0.00305238i | ||||
\(244\) | 1.85419 | + | 2.13985i | 0.118703 | + | 0.136990i | ||||
\(245\) | 3.04141 | − | 3.80035i | 0.194309 | − | 0.242795i | ||||
\(246\) | −16.0659 | + | 10.3249i | −1.02432 | + | 0.658292i | ||||
\(247\) | 8.69756 | − | 2.11001i | 0.553412 | − | 0.134256i | ||||
\(248\) | 14.4699 | − | 5.00809i | 0.918841 | − | 0.318014i | ||||
\(249\) | 9.05958 | + | 2.19783i | 0.574127 | + | 0.139282i | ||||
\(250\) | −10.8809 | + | 1.03900i | −0.688171 | + | 0.0657123i | ||||
\(251\) | 0.369382 | + | 2.56911i | 0.0233152 | + | 0.162161i | 0.998153 | − | 0.0607562i | \(-0.0193512\pi\) |
−0.974837 | + | 0.222917i | \(0.928442\pi\) | |||||||
\(252\) | −1.92631 | − | 0.0540705i | −0.121346 | − | 0.00340612i | ||||
\(253\) | −16.1802 | + | 1.59139i | −1.01724 | + | 0.100050i | ||||
\(254\) | −9.63880 | − | 16.6949i | −0.604792 | − | 1.04753i | ||||
\(255\) | −1.42824 | + | 3.56758i | −0.0894401 | + | 0.223411i | ||||
\(256\) | 8.95823 | + | 12.5801i | 0.559889 | + | 0.786254i | ||||
\(257\) | −9.72150 | + | 10.1956i | −0.606411 | + | 0.635985i | −0.953337 | − | 0.301907i | \(-0.902377\pi\) |
0.346927 | + | 0.937892i | \(0.387225\pi\) | |||||||
\(258\) | 7.78206 | − | 8.98097i | 0.484490 | − | 0.559131i | ||||
\(259\) | −21.9191 | + | 4.67045i | −1.36199 | + | 0.290208i | ||||
\(260\) | −0.437819 | − | 0.681259i | −0.0271524 | − | 0.0422499i | ||||
\(261\) | −1.42482 | + | 2.00088i | −0.0881940 | + | 0.123851i | ||||
\(262\) | 3.30012 | + | 17.1226i | 0.203882 | + | 1.05784i | ||||
\(263\) | 9.19810 | + | 17.8418i | 0.567179 | + | 1.10017i | 0.981753 | + | 0.190158i | \(0.0609001\pi\) |
−0.414574 | + | 0.910015i | \(0.636070\pi\) | |||||||
\(264\) | 6.61068 | − | 2.64652i | 0.406859 | − | 0.162882i | ||||
\(265\) | −6.72305 | − | 0.966629i | −0.412994 | − | 0.0593796i | ||||
\(266\) | 22.0484 | − | 10.5945i | 1.35187 | − | 0.649593i | ||||
\(267\) | 8.51274 | − | 7.37633i | 0.520971 | − | 0.451424i | ||||
\(268\) | 1.32186 | + | 0.941296i | 0.0807457 | + | 0.0574988i | ||||
\(269\) | 2.61281 | − | 0.124464i | 0.159306 | − | 0.00758867i | 0.0322226 | − | 0.999481i | \(-0.489741\pi\) |
0.127083 | + | 0.991892i | \(0.459438\pi\) | |||||||
\(270\) | 0.792611 | + | 0.831266i | 0.0482368 | + | 0.0505893i | ||||
\(271\) | −1.57505 | + | 8.17213i | −0.0956774 | + | 0.496421i | 0.902201 | + | 0.431316i | \(0.141951\pi\) |
−0.997878 | + | 0.0651055i | \(0.979262\pi\) | |||||||
\(272\) | 26.1215 | − | 7.66997i | 1.58385 | − | 0.465060i | ||||
\(273\) | 2.35619 | + | 3.51344i | 0.142603 | + | 0.212643i | ||||
\(274\) | 8.20410 | − | 1.17957i | 0.495628 | − | 0.0712605i | ||||
\(275\) | 13.2599 | − | 7.65563i | 0.799605 | − | 0.461652i | ||||
\(276\) | −1.44206 | + | 3.18154i | −0.0868019 | + | 0.191506i | ||||
\(277\) | −3.91017 | + | 6.77261i | −0.234939 | + | 0.406927i | −0.959255 | − | 0.282542i | \(-0.908822\pi\) |
0.724316 | + | 0.689468i | \(0.242156\pi\) | |||||||
\(278\) | −17.0251 | − | 21.6492i | −1.02110 | − | 1.29843i | ||||
\(279\) | −6.63110 | − | 3.02832i | −0.396993 | − | 0.181301i | ||||
\(280\) | 2.72082 | + | 2.74411i | 0.162600 | + | 0.163992i | ||||
\(281\) | −12.8688 | − | 11.1509i | −0.767689 | − | 0.665206i | 0.180264 | − | 0.983618i | \(-0.442305\pi\) |
−0.947952 | + | 0.318412i | \(0.896850\pi\) | |||||||
\(282\) | −0.498995 | − | 2.05689i | −0.0297147 | − | 0.122486i | ||||
\(283\) | 0.738412 | + | 15.5012i | 0.0438940 | + | 0.921449i | 0.908214 | + | 0.418507i | \(0.137446\pi\) |
−0.864320 | + | 0.502943i | \(0.832251\pi\) | |||||||
\(284\) | 10.3566 | + | 0.988935i | 0.614551 | + | 0.0586825i | ||||
\(285\) | −3.67815 | − | 1.27302i | −0.217875 | − | 0.0754072i | ||||
\(286\) | 7.53212 | + | 4.84060i | 0.445384 | + | 0.286231i | ||||
\(287\) | 30.1443 | + | 5.20122i | 1.77936 | + | 0.307019i | ||||
\(288\) | 0.560162 | − | 3.89601i | 0.0330079 | − | 0.229575i | ||||
\(289\) | 0.644319 | − | 13.5259i | 0.0379011 | − | 0.795643i | ||||
\(290\) | −2.77032 | + | 0.533935i | −0.162679 | + | 0.0313537i | ||||
\(291\) | 0.565567 | − | 5.92288i | 0.0331541 | − | 0.347206i | ||||
\(292\) | −5.36434 | + | 10.4054i | −0.313925 | + | 0.608929i | ||||
\(293\) | −1.16020 | − | 0.340664i | −0.0677794 | − | 0.0199018i | 0.247667 | − | 0.968845i | \(-0.420336\pi\) |
−0.315446 | + | 0.948943i | \(0.602154\pi\) | |||||||
\(294\) | 8.29980 | + | 8.05003i | 0.484054 | + | 0.469487i | ||||
\(295\) | −1.69019 | − | 5.75625i | −0.0984066 | − | 0.335142i | ||||
\(296\) | −1.69126 | − | 17.7116i | −0.0983022 | − | 1.02947i | ||||
\(297\) | −3.14725 | − | 1.25997i | −0.182622 | − | 0.0731109i | ||||
\(298\) | −9.41318 | − | 5.43470i | −0.545291 | − | 0.314824i | ||||
\(299\) | 7.52545 | − | 1.47258i | 0.435208 | − | 0.0851615i | ||||
\(300\) | − | 3.28963i | − | 0.189927i | ||||||
\(301\) | −18.9094 | + | 2.17919i | −1.08992 | + | 0.125607i | ||||
\(302\) | −1.65060 | + | 3.61431i | −0.0949813 | + | 0.207980i | ||||
\(303\) | −5.21070 | − | 4.96839i | −0.299347 | − | 0.285427i | ||||
\(304\) | 9.01859 | + | 26.0575i | 0.517251 | + | 1.49450i | ||||
\(305\) | −1.95636 | + | 1.86538i | −0.112021 | + | 0.106812i | ||||
\(306\) | −8.11364 | − | 4.18287i | −0.463826 | − | 0.239119i | ||||
\(307\) | 16.9880 | − | 7.75818i | 0.969559 | − | 0.442783i | 0.133275 | − | 0.991079i | \(-0.457451\pi\) |
0.836284 | + | 0.548296i | \(0.184723\pi\) | |||||||
\(308\) | 6.11124 | + | 2.30909i | 0.348220 | + | 0.131573i | ||||
\(309\) | −6.11371 | + | 9.51312i | −0.347797 | + | 0.541182i | ||||
\(310\) | −3.11193 | − | 7.77322i | −0.176746 | − | 0.441489i | ||||
\(311\) | −12.4287 | + | 15.8043i | −0.704765 | + | 0.896182i | −0.998211 | − | 0.0597940i | \(-0.980956\pi\) |
0.293446 | + | 0.955976i | \(0.405198\pi\) | |||||||
\(312\) | −2.98514 | + | 1.53894i | −0.169000 | + | 0.0871256i | ||||
\(313\) | 10.7955 | − | 31.1915i | 0.610197 | − | 1.76305i | −0.0354038 | − | 0.999373i | \(-0.511272\pi\) |
0.645601 | − | 0.763675i | \(-0.276607\pi\) | |||||||
\(314\) | −3.66763 | − | 8.03099i | −0.206976 | − | 0.453215i | ||||
\(315\) | −0.0359423 | − | 1.83940i | −0.00202512 | − | 0.103638i | ||||
\(316\) | 2.43368 | − | 8.28836i | 0.136905 | − | 0.466257i | ||||
\(317\) | 21.4290 | + | 4.13009i | 1.20357 | + | 0.231969i | 0.751330 | − | 0.659927i | \(-0.229413\pi\) |
0.452240 | + | 0.891896i | \(0.350625\pi\) | |||||||
\(318\) | 3.80381 | − | 15.6795i | 0.213307 | − | 0.879263i | ||||
\(319\) | 6.78315 | − | 4.83026i | 0.379784 | − | 0.270443i | ||||
\(320\) | −1.83158 | + | 1.44037i | −0.102388 | + | 0.0805190i | ||||
\(321\) | 8.61120 | 0.480630 | ||||||||
\(322\) | 19.2782 | − | 8.22295i | 1.07433 | − | 0.458247i | ||||
\(323\) | 30.9336 | 1.72119 | ||||||||
\(324\) | −0.572531 | + | 0.450243i | −0.0318073 | + | 0.0250135i | ||||
\(325\) | −5.88246 | + | 4.18888i | −0.326300 | + | 0.232357i | ||||
\(326\) | 3.36399 | − | 13.8666i | 0.186314 | − | 0.767998i | ||||
\(327\) | 13.6077 | + | 2.62266i | 0.752506 | + | 0.145034i | ||||
\(328\) | −6.84192 | + | 23.3015i | −0.377782 | + | 1.28661i | ||||
\(329\) | −1.63742 | + | 2.96856i | −0.0902739 | + | 0.163662i | ||||
\(330\) | −1.61754 | − | 3.54192i | −0.0890426 | − | 0.194976i | ||||
\(331\) | −10.0098 | + | 28.9215i | −0.550189 | + | 1.58967i | 0.236047 | + | 0.971742i | \(0.424148\pi\) |
−0.786236 | + | 0.617926i | \(0.787973\pi\) | |||||||
\(332\) | −6.03524 | + | 3.11138i | −0.331227 | + | 0.170759i | ||||
\(333\) | −5.23619 | + | 6.65835i | −0.286941 | + | 0.364876i | ||||
\(334\) | −1.72038 | − | 4.29729i | −0.0941348 | − | 0.235137i | ||||
\(335\) | −0.837582 | + | 1.30330i | −0.0457620 | + | 0.0712071i | ||||
\(336\) | −10.0857 | + | 8.25541i | −0.550220 | + | 0.450370i | ||||
\(337\) | 0.560647 | − | 0.256039i | 0.0305404 | − | 0.0139473i | −0.400086 | − | 0.916477i | \(-0.631020\pi\) |
0.430627 | + | 0.902530i | \(0.358293\pi\) | |||||||
\(338\) | 15.3326 | + | 7.90451i | 0.833984 | + | 0.429948i | ||||
\(339\) | −10.5374 | + | 10.0474i | −0.572311 | + | 0.545698i | ||||
\(340\) | −0.915459 | − | 2.64505i | −0.0496477 | − | 0.143448i | ||||
\(341\) | 17.8859 | + | 17.0541i | 0.968574 | + | 0.923534i | ||||
\(342\) | 3.84079 | − | 8.41015i | 0.207686 | − | 0.454769i | ||||
\(343\) | −1.08491 | − | 18.4885i | −0.0585796 | − | 0.998283i | ||||
\(344\) | − | 15.1116i | − | 0.814760i | ||||||
\(345\) | −3.09946 | − | 1.23064i | −0.166869 | − | 0.0662554i | ||||
\(346\) | −8.42130 | − | 4.86204i | −0.452732 | − | 0.261385i | ||||
\(347\) | 21.9120 | + | 8.77226i | 1.17630 | + | 0.470919i | 0.875712 | − | 0.482835i | \(-0.160393\pi\) |
0.300588 | + | 0.953754i | \(0.402817\pi\) | |||||||
\(348\) | −0.170065 | − | 1.78100i | −0.00911645 | − | 0.0954718i | ||||
\(349\) | 8.77613 | + | 29.8888i | 0.469776 | + | 1.59991i | 0.764699 | + | 0.644388i | \(0.222888\pi\) |
−0.294923 | + | 0.955521i | \(0.595294\pi\) | |||||||
\(350\) | −13.3390 | + | 14.5483i | −0.712999 | + | 0.777640i | ||||
\(351\) | 1.53416 | + | 0.450469i | 0.0818873 | + | 0.0240443i | ||||
\(352\) | −6.11442 | + | 11.8603i | −0.325900 | + | 0.632157i | ||||
\(353\) | 1.81092 | − | 18.9648i | 0.0963857 | − | 1.00940i | −0.809854 | − | 0.586632i | \(-0.800454\pi\) |
0.906239 | − | 0.422765i | \(-0.138940\pi\) | |||||||
\(354\) | 13.9933 | − | 2.69698i | 0.743733 | − | 0.143343i | ||||
\(355\) | −0.472599 | + | 9.92108i | −0.0250830 | + | 0.526556i | ||||
\(356\) | −1.16759 | + | 8.12074i | −0.0618819 | + | 0.430398i | ||||
\(357\) | 5.05126 | + | 13.7213i | 0.267341 | + | 0.726207i | ||||
\(358\) | 32.6985 | + | 21.0141i | 1.72817 | + | 1.11063i | ||||
\(359\) | 1.99668 | + | 0.691059i | 0.105381 | + | 0.0364727i | 0.379250 | − | 0.925294i | \(-0.376182\pi\) |
−0.273869 | + | 0.961767i | \(0.588303\pi\) | |||||||
\(360\) | 1.45396 | + | 0.138837i | 0.0766307 | + | 0.00731734i | ||||
\(361\) | 0.586734 | + | 12.3171i | 0.0308807 | + | 0.648266i | ||||
\(362\) | −10.1357 | − | 41.7799i | −0.532720 | − | 2.19590i | ||||
\(363\) | 0.372377 | + | 0.322666i | 0.0195447 | + | 0.0169356i | ||||
\(364\) | −2.97281 | − | 0.810159i | −0.155818 | − | 0.0424639i | ||||
\(365\) | −10.1664 | − | 4.64282i | −0.532131 | − | 0.243016i | ||||
\(366\) | −3.96926 | − | 5.04733i | −0.207477 | − | 0.263828i | ||||
\(367\) | −5.36040 | + | 9.28449i | −0.279811 | + | 0.484646i | −0.971338 | − | 0.237704i | \(-0.923605\pi\) |
0.691527 | + | 0.722351i | \(0.256938\pi\) | |||||||
\(368\) | 6.72033 | + | 22.6493i | 0.350322 | + | 1.18068i | ||||
\(369\) | 10.0128 | − | 5.78092i | 0.521248 | − | 0.300942i | ||||
\(370\) | −9.63015 | + | 1.38461i | −0.500648 | + | 0.0719823i | ||||
\(371\) | −21.4637 | + | 14.3940i | −1.11434 | + | 0.747301i | ||||
\(372\) | 5.09458 | − | 1.49590i | 0.264142 | − | 0.0775590i | ||||
\(373\) | −4.20466 | + | 21.8159i | −0.217709 | + | 1.12958i | 0.694386 | + | 0.719603i | \(0.255676\pi\) |
−0.912095 | + | 0.409979i | \(0.865536\pi\) | |||||||
\(374\) | 21.3553 | + | 22.3967i | 1.10425 | + | 1.15811i | ||||
\(375\) | 6.60989 | − | 0.314868i | 0.341333 | − | 0.0162597i | ||||
\(376\) | −2.19242 | − | 1.56121i | −0.113065 | − | 0.0805134i | ||||
\(377\) | −2.96821 | + | 2.57197i | −0.152871 | + | 0.132463i | ||||
\(378\) | 4.35768 | + | 0.330342i | 0.224135 | + | 0.0169910i | ||||
\(379\) | −23.2634 | − | 3.34477i | −1.19496 | − | 0.171810i | −0.484018 | − | 0.875058i | \(-0.660823\pi\) |
−0.710944 | + | 0.703249i | \(0.751732\pi\) | |||||||
\(380\) | 2.63187 | − | 1.05364i | 0.135012 | − | 0.0540507i | ||||
\(381\) | 5.34789 | + | 10.3735i | 0.273981 | + | 0.531448i | ||||
\(382\) | −6.16711 | − | 31.9980i | −0.315537 | − | 1.63716i | ||||
\(383\) | 3.02237 | − | 4.24432i | 0.154436 | − | 0.216875i | −0.730108 | − | 0.683332i | \(-0.760530\pi\) |
0.884544 | + | 0.466457i | \(0.154470\pi\) | |||||||
\(384\) | −7.24843 | − | 11.2788i | −0.369895 | − | 0.575568i | ||||
\(385\) | −1.92436 | + | 5.93263i | −0.0980747 | + | 0.302355i | ||||
\(386\) | −1.96582 | + | 2.26868i | −0.100058 | + | 0.115473i | ||||
\(387\) | −4.96470 | + | 5.20683i | −0.252370 | + | 0.264678i | ||||
\(388\) | 2.51375 | + | 3.53007i | 0.127616 | + | 0.179212i | ||||
\(389\) | −6.20476 | + | 15.4987i | −0.314594 | + | 0.785817i | 0.683827 | + | 0.729644i | \(0.260314\pi\) |
−0.998421 | + | 0.0561734i | \(0.982110\pi\) | |||||||
\(390\) | 0.918247 | + | 1.59045i | 0.0464972 | + | 0.0805356i | ||||
\(391\) | 26.4772 | + | 1.18595i | 1.33901 | + | 0.0599759i | ||||
\(392\) | 14.6801 | + | 0.824776i | 0.741456 | + | 0.0416575i | ||||
\(393\) | −1.50241 | − | 10.4495i | −0.0757868 | − | 0.527108i | ||||
\(394\) | −13.9689 | + | 1.33387i | −0.703744 | + | 0.0671994i | ||||
\(395\) | 8.01442 | + | 1.94428i | 0.403249 | + | 0.0978272i | ||||
\(396\) | 2.33341 | − | 0.807601i | 0.117258 | − | 0.0405835i | ||||
\(397\) | 29.2196 | − | 7.08860i | 1.46649 | − | 0.355767i | 0.578521 | − | 0.815668i | \(-0.303630\pi\) |
0.887970 | + | 0.459901i | \(0.152115\pi\) | |||||||
\(398\) | 7.58865 | − | 4.87693i | 0.380385 | − | 0.244458i | ||||
\(399\) | −13.6384 | + | 5.77163i | −0.682773 | + | 0.288943i | ||||
\(400\) | −14.5701 | − | 16.8148i | −0.728503 | − | 0.840738i | ||||
\(401\) | 12.3011 | + | 0.585975i | 0.614289 | + | 0.0292622i | 0.352421 | − | 0.935842i | \(-0.385358\pi\) |
0.261868 | + | 0.965104i | \(0.415662\pi\) | |||||||
\(402\) | −2.89275 | − | 2.27488i | −0.144277 | − | 0.113461i | ||||
\(403\) | −9.16220 | − | 7.20523i | −0.456402 | − | 0.358918i | ||||
\(404\) | 5.23808 | + | 0.249521i | 0.260604 | + | 0.0124141i | ||||
\(405\) | −0.455365 | − | 0.525519i | −0.0226272 | − | 0.0261132i | ||||
\(406\) | −6.46961 | + | 8.56604i | −0.321082 | + | 0.425126i | ||||
\(407\) | 24.1576 | − | 15.5251i | 1.19745 | − | 0.769552i | ||||
\(408\) | −11.2808 | + | 2.73669i | −0.558483 | + | 0.135487i | ||||
\(409\) | −9.51105 | + | 3.29181i | −0.470291 | + | 0.162769i | −0.551926 | − | 0.833893i | \(-0.686107\pi\) |
0.0816351 | + | 0.996662i | \(0.473986\pi\) | |||||||
\(410\) | 12.9054 | + | 3.13080i | 0.637350 | + | 0.154619i | ||||
\(411\) | −4.99519 | + | 0.476983i | −0.246395 | + | 0.0235278i | ||||
\(412\) | −1.17218 | − | 8.15267i | −0.0577490 | − | 0.401653i | ||||
\(413\) | −19.4402 | − | 11.9634i | −0.956589 | − | 0.588678i | ||||
\(414\) | 3.60990 | − | 7.05131i | 0.177417 | − | 0.346553i | ||||
\(415\) | −3.24120 | − | 5.61393i | −0.159104 | − | 0.275577i | ||||
\(416\) | 2.33905 | − | 5.84267i | 0.114682 | − | 0.286461i | ||||
\(417\) | 9.67187 | + | 13.5822i | 0.473633 | + | 0.665125i | ||||
\(418\) | −21.6296 | + | 22.6845i | −1.05794 | + | 1.10953i | ||||
\(419\) | −3.75866 | + | 4.33773i | −0.183623 | + | 0.211912i | −0.840097 | − | 0.542437i | \(-0.817502\pi\) |
0.656474 | + | 0.754349i | \(0.272047\pi\) | |||||||
\(420\) | 0.897134 | + | 0.995371i | 0.0437757 | + | 0.0485692i | ||||
\(421\) | −5.80089 | − | 9.02637i | −0.282718 | − | 0.439918i | 0.670629 | − | 0.741793i | \(-0.266024\pi\) |
−0.953348 | + | 0.301874i | \(0.902388\pi\) | |||||||
\(422\) | −7.26010 | + | 10.1954i | −0.353416 | + | 0.496304i | ||||
\(423\) | 0.242502 | + | 1.25822i | 0.0117909 | + | 0.0611768i | ||||
\(424\) | −9.40144 | − | 18.2362i | −0.456574 | − | 0.885630i | ||||
\(425\) | −23.1720 | + | 9.27666i | −1.12401 | + | 0.449984i | ||||
\(426\) | −23.3533 | − | 3.35770i | −1.13147 | − | 0.162681i | ||||
\(427\) | −0.777448 | + | 10.2557i | −0.0376234 | + | 0.496306i | ||||
\(428\) | −4.74012 | + | 4.10733i | −0.229122 | + | 0.198535i | ||||
\(429\) | −4.41541 | − | 3.14420i | −0.213178 | − | 0.151803i | ||||
\(430\) | −8.25398 | + | 0.393186i | −0.398042 | + | 0.0189611i | ||||
\(431\) | −21.3872 | − | 22.4302i | −1.03018 | − | 1.08042i | −0.996715 | − | 0.0809851i | \(-0.974193\pi\) |
−0.0334677 | − | 0.999440i | \(-0.510655\pi\) | |||||||
\(432\) | −0.932292 | + | 4.83719i | −0.0448549 | + | 0.232729i | ||||
\(433\) | −25.2340 | + | 7.40938i | −1.21267 | + | 0.356072i | −0.824684 | − | 0.565593i | \(-0.808647\pi\) |
−0.387986 | + | 0.921665i | \(0.626829\pi\) | |||||||
\(434\) | −28.5964 | − | 14.0422i | −1.37267 | − | 0.674049i | ||||
\(435\) | 1.69066 | − | 0.243080i | 0.0810608 | − | 0.0116548i | ||||
\(436\) | −8.74142 | + | 5.04686i | −0.418638 | + | 0.241701i | ||||
\(437\) | 0.0762001 | + | 26.8441i | 0.00364514 | + | 1.28413i | ||||
\(438\) | 13.2743 | − | 22.9917i | 0.634269 | − | 1.09859i | ||||
\(439\) | 13.2588 | + | 16.8600i | 0.632809 | + | 0.804682i | 0.991683 | − | 0.128704i | \(-0.0410817\pi\) |
−0.358874 | + | 0.933386i | \(0.616839\pi\) | |||||||
\(440\) | −4.50404 | − | 2.05693i | −0.214722 | − | 0.0980601i | ||||
\(441\) | −4.78719 | − | 5.10713i | −0.227962 | − | 0.243197i | ||||
\(442\) | −11.0306 | − | 9.55810i | −0.524674 | − | 0.454632i | ||||
\(443\) | −6.86372 | − | 28.2927i | −0.326105 | − | 1.34422i | −0.864966 | − | 0.501830i | \(-0.832660\pi\) |
0.538861 | − | 0.842395i | \(-0.318855\pi\) | |||||||
\(444\) | −0.293565 | − | 6.16269i | −0.0139320 | − | 0.292468i | ||||
\(445\) | −7.79706 | − | 0.744529i | −0.369616 | − | 0.0352941i | ||||
\(446\) | 13.5922 | + | 4.70432i | 0.643611 | + | 0.222756i | ||||
\(447\) | 5.53581 | + | 3.55765i | 0.261835 | + | 0.168271i | ||||
\(448\) | −1.50745 | + | 8.73659i | −0.0712202 | + | 0.412765i | ||||
\(449\) | 2.75051 | − | 19.1302i | 0.129804 | − | 0.902810i | −0.815995 | − | 0.578059i | \(-0.803810\pi\) |
0.945800 | − | 0.324751i | \(-0.105280\pi\) | |||||||
\(450\) | −0.354971 | + | 7.45175i | −0.0167335 | + | 0.351279i | ||||
\(451\) | −38.4874 | + | 7.41783i | −1.81230 | + | 0.349292i | ||||
\(452\) | 1.00805 | − | 10.5567i | 0.0474145 | − | 0.496547i | ||||
\(453\) | 1.10227 | − | 2.13811i | 0.0517892 | − | 0.100457i | ||||
\(454\) | 14.4946 | + | 4.25599i | 0.680264 | + | 0.199744i | ||||
\(455\) | 0.637533 | − | 2.87171i | 0.0298880 | − | 0.134628i | ||||
\(456\) | −3.31237 | − | 11.2809i | −0.155116 | − | 0.528276i | ||||
\(457\) | −3.32491 | − | 34.8201i | −0.155533 | − | 1.62881i | −0.650222 | − | 0.759744i | \(-0.725324\pi\) |
0.494690 | − | 0.869070i | \(-0.335282\pi\) | |||||||
\(458\) | −8.52984 | − | 3.41483i | −0.398573 | − | 0.159565i | ||||
\(459\) | 4.78602 | + | 2.76321i | 0.223392 | + | 0.128975i | ||||
\(460\) | 2.29311 | − | 0.800949i | 0.106917 | − | 0.0373445i | ||||
\(461\) | − | 0.699240i | − | 0.0325669i | −0.999867 | − | 0.0162834i | \(-0.994817\pi\) | ||
0.999867 | − | 0.0162834i | \(-0.00518341\pi\) | |||||||
\(462\) | −13.5942 | − | 5.89005i | −0.632458 | − | 0.274030i | ||||
\(463\) | −8.29608 | + | 18.1659i | −0.385551 | + | 0.844240i | 0.612982 | + | 0.790097i | \(0.289970\pi\) |
−0.998533 | + | 0.0541428i | \(0.982757\pi\) | |||||||
\(464\) | −8.75751 | − | 8.35027i | −0.406557 | − | 0.387651i | ||||
\(465\) | 1.65794 | + | 4.79029i | 0.0768850 | + | 0.222145i | ||||
\(466\) | −12.3329 | + | 11.7594i | −0.571312 | + | 0.544745i | ||||
\(467\) | 6.25747 | + | 3.22595i | 0.289561 | + | 0.149279i | 0.596887 | − | 0.802325i | \(-0.296404\pi\) |
−0.307326 | + | 0.951604i | \(0.599434\pi\) | |||||||
\(468\) | −1.05935 | + | 0.483791i | −0.0489686 | + | 0.0223632i | ||||
\(469\) | 0.952723 | + | 5.81714i | 0.0439927 | + | 0.268610i | ||||
\(470\) | −0.795696 | + | 1.23813i | −0.0367027 | + | 0.0571106i | ||||
\(471\) | 1.98656 | + | 4.96218i | 0.0915357 | + | 0.228645i | ||||
\(472\) | 11.2022 | − | 14.2447i | 0.515622 | − | 0.655667i | ||||
\(473\) | 21.6784 | − | 11.1760i | 0.996774 | − | 0.513873i | ||||
\(474\) | −6.40720 | + | 18.5124i | −0.294293 | + | 0.850303i | ||||
\(475\) | −10.5019 | − | 22.9960i | −0.481861 | − | 1.05513i | ||||
\(476\) | −9.32523 | − | 5.14368i | −0.427421 | − | 0.235760i | ||||
\(477\) | −2.75192 | + | 9.37220i | −0.126002 | + | 0.429123i | ||||
\(478\) | 19.1040 | + | 3.68199i | 0.873795 | + | 0.168410i | ||||
\(479\) | 2.51891 | − | 10.3831i | 0.115092 | − | 0.474416i | −0.884871 | − | 0.465836i | \(-0.845754\pi\) |
0.999963 | − | 0.00857981i | \(-0.00273107\pi\) | |||||||
\(480\) | −2.22949 | + | 1.58761i | −0.101762 | + | 0.0724642i | ||||
\(481\) | −10.6462 | + | 8.37227i | −0.485425 | + | 0.381743i | ||||
\(482\) | −9.71154 | −0.442348 | ||||||||
\(483\) | −11.8949 | + | 4.41727i | −0.541235 | + | 0.200993i | ||||
\(484\) | −0.358882 | −0.0163128 | ||||||||
\(485\) | −3.25212 | + | 2.55749i | −0.147671 | + | 0.116130i | ||||
\(486\) | 1.34550 | − | 0.958124i | 0.0610330 | − | 0.0434614i | ||||
\(487\) | −3.06632 | + | 12.6395i | −0.138948 | + | 0.572752i | 0.859185 | + | 0.511666i | \(0.170971\pi\) |
−0.998133 | + | 0.0610856i | \(0.980544\pi\) | |||||||
\(488\) | −8.01777 | − | 1.54530i | −0.362947 | − | 0.0699523i | ||||
\(489\) | −2.43373 | + | 8.28853i | −0.110057 | + | 0.374820i | ||||
\(490\) | 0.0685362 | − | 8.03977i | 0.00309615 | − | 0.363200i | ||||
\(491\) | 4.17063 | + | 9.13241i | 0.188218 | + | 0.412140i | 0.980092 | − | 0.198545i | \(-0.0636215\pi\) |
−0.791874 | + | 0.610685i | \(0.790894\pi\) | |||||||
\(492\) | −2.75430 | + | 7.95804i | −0.124174 | + | 0.358776i | ||||
\(493\) | −12.0657 | + | 6.22031i | −0.543413 | + | 0.280149i | ||||
\(494\) | 9.13832 | − | 11.6203i | 0.411153 | − | 0.522823i | ||||
\(495\) | 0.876134 | + | 2.18848i | 0.0393793 | + | 0.0983647i | ||||
\(496\) | 19.4152 | − | 30.2106i | 0.871768 | − | 1.35650i | ||||
\(497\) | 23.9368 | + | 29.2438i | 1.07371 | + | 1.31176i | ||||
\(498\) | 14.0069 | − | 6.39675i | 0.627665 | − | 0.286645i | ||||
\(499\) | 10.9661 | + | 5.65341i | 0.490910 | + | 0.253081i | 0.685863 | − | 0.727731i | \(-0.259425\pi\) |
−0.194953 | + | 0.980813i | \(0.562455\pi\) | |||||||
\(500\) | −3.48829 | + | 3.32608i | −0.156001 | + | 0.148747i | ||||
\(501\) | 0.916562 | + | 2.64823i | 0.0409490 | + | 0.118314i | ||||
\(502\) | 3.10281 | + | 2.95853i | 0.138485 | + | 0.132045i | ||||
\(503\) | −3.45735 | + | 7.57055i | −0.154156 | + | 0.337554i | −0.970915 | − | 0.239425i | \(-0.923041\pi\) |
0.816759 | + | 0.576979i | \(0.195768\pi\) | |||||||
\(504\) | 4.46300 | − | 3.31137i | 0.198798 | − | 0.147500i | ||||
\(505\) | 5.00642i | 0.222783i | ||||||||
\(506\) | −19.3832 | + | 18.5872i | −0.861691 | + | 0.826303i | ||||
\(507\) | −9.04428 | − | 5.22172i | −0.401671 | − | 0.231905i | ||||
\(508\) | −7.89168 | − | 3.15935i | −0.350137 | − | 0.140174i | ||||
\(509\) | −0.509637 | − | 5.33716i | −0.0225893 | − | 0.236566i | −0.999714 | − | 0.0239001i | \(-0.992392\pi\) |
0.977125 | − | 0.212665i | \(-0.0682144\pi\) | |||||||
\(510\) | 1.78831 | + | 6.09041i | 0.0791875 | + | 0.269688i | ||||
\(511\) | −40.5600 | + | 12.7753i | −1.79427 | + | 0.565148i | ||||
\(512\) | −1.25184 | − | 0.367572i | −0.0553239 | − | 0.0162446i | ||||
\(513\) | −2.56488 | + | 4.97518i | −0.113242 | + | 0.219659i | ||||
\(514\) | −2.21190 | + | 23.1640i | −0.0975627 | + | 1.02172i | ||||
\(515\) | 7.72123 | − | 1.48814i | 0.340238 | − | 0.0655755i | ||||
\(516\) | 0.249335 | − | 5.23419i | 0.0109764 | − | 0.230422i | ||||
\(517\) | 0.618214 | − | 4.29977i | 0.0271890 | − | 0.189104i | ||||
\(518\) | −23.6906 | + | 28.4447i | −1.04090 | + | 1.24979i | ||||
\(519\) | 4.95250 | + | 3.18278i | 0.217391 | + | 0.139708i | ||||
\(520\) | 2.20691 | + | 0.763820i | 0.0967795 | + | 0.0334957i | ||||
\(521\) | −12.9373 | − | 1.23537i | −0.566795 | − | 0.0541224i | −0.192275 | − | 0.981341i | \(-0.561587\pi\) |
−0.374520 | + | 0.927219i | \(0.622193\pi\) | |||||||
\(522\) | 0.193055 | + | 4.05273i | 0.00844979 | + | 0.177383i | ||||
\(523\) | −2.69993 | − | 11.1293i | −0.118060 | − | 0.486649i | −0.999886 | − | 0.0150753i | \(-0.995201\pi\) |
0.881827 | − | 0.471574i | \(-0.156314\pi\) | |||||||
\(524\) | 5.81118 | + | 5.03542i | 0.253863 | + | 0.219973i | ||||
\(525\) | 8.48548 | − | 8.41346i | 0.370337 | − | 0.367193i | ||||
\(526\) | 30.1602 | + | 13.7737i | 1.31505 | + | 0.600562i | ||||
\(527\) | −24.9037 | − | 31.6676i | −1.08482 | − | 1.37946i | ||||
\(528\) | 8.35016 | − | 14.4629i | 0.363394 | − | 0.629417i | ||||
\(529\) | −0.963939 | + | 22.9798i | −0.0419104 | + | 0.999121i | ||||
\(530\) | −9.71609 | + | 5.60959i | −0.422040 | + | 0.243665i | ||||
\(531\) | −8.53974 | + | 1.22783i | −0.370593 | + | 0.0532832i | ||||
\(532\) | 4.75444 | − | 9.68222i | 0.206131 | − | 0.419778i | ||||
\(533\) | 17.7377 | − | 5.20825i | 0.768304 | − | 0.225594i | ||||
\(534\) | 3.52112 | − | 18.2693i | 0.152374 | − | 0.790591i | ||||
\(535\) | −4.13212 | − | 4.33364i | −0.178647 | − | 0.187360i | ||||
\(536\) | −4.67445 | + | 0.222672i | −0.201906 | + | 0.00961795i | ||||
\(537\) | −19.1682 | − | 13.6496i | −0.827170 | − | 0.589025i | ||||
\(538\) | 3.26534 | − | 2.82944i | 0.140779 | − | 0.121986i | ||||
\(539\) | 9.67370 | + | 21.6694i | 0.416676 | + | 0.933367i | ||||
\(540\) | 0.501319 | + | 0.0720788i | 0.0215733 | + | 0.00310178i | ||||
\(541\) | 1.34022 | − | 0.536543i | 0.0576205 | − | 0.0230678i | −0.342673 | − | 0.939455i | \(-0.611332\pi\) |
0.400294 | + | 0.916387i | \(0.368908\pi\) | |||||||
\(542\) | 6.29921 | + | 12.2188i | 0.270574 | + | 0.524841i | ||||
\(543\) | 4.92575 | + | 25.5572i | 0.211384 | + | 1.09677i | ||||
\(544\) | 12.6176 | − | 17.7190i | 0.540976 | − | 0.759695i | ||||
\(545\) | −5.20982 | − | 8.10664i | −0.223164 | − | 0.347250i | ||||
\(546\) | 6.64668 | + | 2.15598i | 0.284452 | + | 0.0922674i | ||||
\(547\) | −3.81497 | + | 4.40271i | −0.163116 | + | 0.188246i | −0.831424 | − | 0.555639i | \(-0.812474\pi\) |
0.668307 | + | 0.743885i | \(0.267019\pi\) | |||||||
\(548\) | 2.52214 | − | 2.64514i | 0.107740 | − | 0.112995i | ||||
\(549\) | 2.25491 | + | 3.16658i | 0.0962373 | + | 0.135146i | ||||
\(550\) | 9.39963 | − | 23.4791i | 0.400801 | − | 1.00115i | ||||
\(551\) | −6.87457 | − | 11.9071i | −0.292867 | − | 0.507260i | ||||
\(552\) | −2.40269 | − | 9.78272i | −0.102265 | − | 0.416380i | ||||
\(553\) | 27.6039 | − | 14.9205i | 1.17384 | − | 0.634483i | ||||
\(554\) | 1.83834 | + | 12.7860i | 0.0781038 | + | 0.543224i | ||||
\(555\) | 5.86346 | − | 0.559893i | 0.248890 | − | 0.0237661i | ||||
\(556\) | −11.8024 | − | 2.86322i | −0.500532 | − | 0.121428i | ||||
\(557\) | −9.85127 | + | 3.40956i | −0.417412 | + | 0.144468i | −0.527698 | − | 0.849432i | \(-0.676945\pi\) |
0.110286 | + | 0.993900i | \(0.464823\pi\) | |||||||
\(558\) | −11.7018 | + | 2.83883i | −0.495377 | + | 0.120177i | ||||
\(559\) | −9.67720 | + | 6.21916i | −0.409302 | + | 0.263042i | ||||
\(560\) | 8.99425 | + | 1.11430i | 0.380076 | + | 0.0470877i | ||||
\(561\) | −12.2689 | − | 14.1590i | −0.517991 | − | 0.597794i | ||||
\(562\) | −28.0944 | − | 1.33830i | −1.18509 | − | 0.0564528i | ||||
\(563\) | −2.30333 | − | 1.81136i | −0.0970736 | − | 0.0763395i | 0.568443 | − | 0.822723i | \(-0.307546\pi\) |
−0.665516 | + | 0.746383i | \(0.731789\pi\) | |||||||
\(564\) | −0.733629 | − | 0.576932i | −0.0308913 | − | 0.0242932i | ||||
\(565\) | 10.1128 | + | 0.481732i | 0.425448 | + | 0.0202666i | ||||
\(566\) | 16.7864 | + | 19.3725i | 0.705584 | + | 0.814287i | ||||
\(567\) | −2.62568 | − | 0.325295i | −0.110268 | − | 0.0136611i | ||||
\(568\) | −25.2396 | + | 16.2205i | −1.05903 | + | 0.680597i | ||||
\(569\) | −40.8981 | + | 9.92178i | −1.71454 | + | 0.415943i | −0.968311 | − | 0.249748i | \(-0.919652\pi\) |
−0.746228 | + | 0.665691i | \(0.768137\pi\) | |||||||
\(570\) | −6.07548 | + | 2.10274i | −0.254474 | + | 0.0880743i | ||||
\(571\) | 0.295696 | + | 0.0717351i | 0.0123745 | + | 0.00300202i | 0.241941 | − | 0.970291i | \(-0.422216\pi\) |
−0.229567 | + | 0.973293i | \(0.573731\pi\) | |||||||
\(572\) | 3.93021 | − | 0.375290i | 0.164330 | − | 0.0156916i | ||||
\(573\) | 2.80765 | + | 19.5276i | 0.117291 | + | 0.815778i | ||||
\(574\) | 44.4496 | − | 24.0260i | 1.85529 | − | 1.00282i | ||||
\(575\) | −8.10735 | − | 20.0857i | −0.338100 | − | 0.837633i | ||||
\(576\) | 1.67546 | + | 2.90198i | 0.0698107 | + | 0.120916i | ||||
\(577\) | −11.0465 | + | 27.5929i | −0.459873 | + | 1.14871i | 0.499437 | + | 0.866350i | \(0.333540\pi\) |
−0.959310 | + | 0.282357i | \(0.908884\pi\) | |||||||
\(578\) | −12.9742 | − | 18.2197i | −0.539656 | − | 0.757840i | ||||
\(579\) | 1.25413 | − | 1.31530i | 0.0521200 | − | 0.0546619i | ||||
\(580\) | −0.814695 | + | 0.940208i | −0.0338284 | + | 0.0390400i | ||||
\(581\) | −23.4613 | − | 7.61012i | −0.973337 | − | 0.315721i | ||||
\(582\) | −5.31330 | − | 8.26765i | −0.220243 | − | 0.342705i | ||||
\(583\) | 19.2080 | − | 26.9738i | 0.795513 | − | 1.11714i | ||||
\(584\) | −6.38914 | − | 33.1500i | −0.264385 | − | 1.37176i | ||||
\(585\) | −0.509470 | − | 0.988234i | −0.0210640 | − | 0.0408584i | ||||
\(586\) | −1.85422 | + | 0.742317i | −0.0765970 | + | 0.0306648i | ||||
\(587\) | 13.4562 | + | 1.93471i | 0.555398 | + | 0.0798541i | 0.414298 | − | 0.910141i | \(-0.364027\pi\) |
0.141100 | + | 0.989995i | \(0.454936\pi\) | |||||||
\(588\) | 5.07113 | + | 0.527894i | 0.209130 | + | 0.0217700i | ||||
\(589\) | 30.8379 | − | 26.7212i | 1.27065 | − | 1.10103i | ||||
\(590\) | −8.07199 | − | 5.74804i | −0.332319 | − | 0.236643i | ||||
\(591\) | 8.48576 | − | 0.404227i | 0.349058 | − | 0.0166277i | ||||
\(592\) | −28.7957 | − | 30.2000i | −1.18349 | − | 1.24121i | ||||
\(593\) | −0.874793 | + | 4.53886i | −0.0359235 | + | 0.186389i | −0.995458 | − | 0.0952027i | \(-0.969650\pi\) |
0.959534 | + | 0.281591i | \(0.0908622\pi\) | |||||||
\(594\) | −5.37284 | + | 1.57761i | −0.220450 | + | 0.0647301i | ||||
\(595\) | 4.48146 | − | 9.12629i | 0.183722 | − | 0.374141i | ||||
\(596\) | −4.74415 | + | 0.682106i | −0.194328 | + | 0.0279402i | ||||
\(597\) | −4.72952 | + | 2.73059i | −0.193567 | + | 0.111756i | ||||
\(598\) | 8.26733 | − | 9.59591i | 0.338076 | − | 0.392406i | ||||
\(599\) | −16.8094 | + | 29.1147i | −0.686812 | + | 1.18959i | 0.286052 | + | 0.958214i | \(0.407657\pi\) |
−0.972864 | + | 0.231378i | \(0.925676\pi\) | |||||||
\(600\) | 5.86427 | + | 7.45703i | 0.239408 | + | 0.304432i | ||||
\(601\) | 44.3620 | + | 20.2595i | 1.80957 | + | 0.826401i | 0.947620 | + | 0.319401i | \(0.103482\pi\) |
0.861946 | + | 0.507000i | \(0.169246\pi\) | |||||||
\(602\) | −22.3266 | + | 22.1371i | −0.909965 | + | 0.902240i | ||||
\(603\) | 1.68378 | + | 1.45901i | 0.0685690 | + | 0.0594153i | ||||
\(604\) | 0.413070 | + | 1.70270i | 0.0168076 | + | 0.0692818i | ||||
\(605\) | −0.0163026 | − | 0.342233i | −0.000662794 | − | 0.0139138i | ||||
\(606\) | −11.8385 | − | 1.13044i | −0.480907 | − | 0.0459210i | ||||
\(607\) | −10.2957 | − | 3.56339i | −0.417891 | − | 0.144634i | 0.110027 | − | 0.993929i | \(-0.464906\pi\) |
−0.527919 | + | 0.849295i | \(0.677027\pi\) | |||||||
\(608\) | 18.5344 | + | 11.9113i | 0.751668 | + | 0.483067i | ||||
\(609\) | 4.15909 | − | 4.99372i | 0.168535 | − | 0.202356i | ||||
\(610\) | −0.635434 | + | 4.41954i | −0.0257280 | + | 0.178942i | ||||
\(611\) | −0.0974871 | + | 2.04651i | −0.00394391 | + | 0.0827928i | ||||
\(612\) | −3.95249 | + | 0.761780i | −0.159770 | + | 0.0307931i | ||||
\(613\) | −1.72763 | + | 18.0926i | −0.0697784 | + | 0.730753i | 0.891105 | + | 0.453798i | \(0.149931\pi\) |
−0.960883 | + | 0.276955i | \(0.910675\pi\) | |||||||
\(614\) | 14.1354 | − | 27.4189i | 0.570459 | − | 1.10654i | ||||
\(615\) | −7.71398 | − | 2.26503i | −0.311058 | − | 0.0913348i | ||||
\(616\) | −17.9695 | + | 5.65991i | −0.724010 | + | 0.228044i | ||||
\(617\) | 2.77649 | + | 9.45587i | 0.111777 | + | 0.380679i | 0.996313 | − | 0.0857940i | \(-0.0273427\pi\) |
−0.884535 | + | 0.466473i | \(0.845524\pi\) | |||||||
\(618\) | 1.77552 | + | 18.5941i | 0.0714221 | + | 0.747966i | ||||
\(619\) | 16.1989 | + | 6.48506i | 0.651088 | + | 0.260656i | 0.673607 | − | 0.739090i | \(-0.264744\pi\) |
−0.0225184 | + | 0.999746i | \(0.507168\pi\) | |||||||
\(620\) | −3.19748 | − | 1.84607i | −0.128414 | − | 0.0741398i | ||||
\(621\) | −2.38612 | + | 4.16010i | −0.0957516 | + | 0.166939i | ||||
\(622\) | 33.2105i | 1.33162i | ||||||||
\(623\) | −23.9334 | + | 17.7576i | −0.958870 | + | 0.711444i | ||||
\(624\) | −3.27208 | + | 7.16485i | −0.130988 | + | 0.286823i | ||||
\(625\) | 13.0134 | + | 12.4082i | 0.520535 | + | 0.496330i | ||||
\(626\) | −17.8317 | − | 51.5214i | −0.712699 | − | 2.05921i | ||||
\(627\) | 13.7334 | − | 13.0948i | 0.548459 | − | 0.522954i | ||||
\(628\) | −3.46036 | − | 1.78394i | −0.138083 | − | 0.0711869i | ||||
\(629\) | −42.5818 | + | 19.4465i | −1.69785 | + | 0.775381i | ||||
\(630\) | −1.92481 | − | 2.35155i | −0.0766861 | − | 0.0936879i | ||||
\(631\) | 9.84470 | − | 15.3187i | 0.391911 | − | 0.609826i | −0.588095 | − | 0.808792i | \(-0.700122\pi\) |
0.980006 | + | 0.198966i | \(0.0637583\pi\) | |||||||
\(632\) | 9.25855 | + | 23.1267i | 0.368285 | + | 0.919932i | ||||
\(633\) | 4.68405 | − | 5.95625i | 0.186174 | − | 0.236740i | ||||
\(634\) | 32.0401 | − | 16.5178i | 1.27247 | − | 0.656006i | ||||
\(635\) | 2.65430 | − | 7.66910i | 0.105333 | − | 0.304339i | ||||
\(636\) | −2.95549 | − | 6.47161i | −0.117193 | − | 0.256616i | ||||
\(637\) | −5.51341 | − | 9.74032i | −0.218449 | − | 0.385926i | ||||
\(638\) | 3.87515 | − | 13.1975i | 0.153418 | − | 0.522495i | ||||
\(639\) | 14.0256 | + | 2.70321i | 0.554843 | + | 0.106937i | ||||
\(640\) | −2.19793 | + | 9.05998i | −0.0868807 | + | 0.358127i | ||||
\(641\) | −10.4020 | + | 7.40726i | −0.410856 | + | 0.292569i | −0.766736 | − | 0.641962i | \(-0.778121\pi\) |
0.355880 | + | 0.934532i | \(0.384181\pi\) | |||||||
\(642\) | 11.1806 | − | 8.79255i | 0.441265 | − | 0.347014i | ||||
\(643\) | 7.71348 | 0.304190 | 0.152095 | − | 0.988366i | \(-0.451398\pi\) | ||||
0.152095 | + | 0.988366i | \(0.451398\pi\) | |||||||
\(644\) | 4.44070 | − | 8.10509i | 0.174988 | − | 0.319385i | ||||
\(645\) | 5.00270 | 0.196981 | ||||||||
\(646\) | 40.1637 | − | 31.5851i | 1.58022 | − | 1.24270i | ||||
\(647\) | 25.5039 | − | 18.1612i | 1.00266 | − | 0.713991i | 0.0441431 | − | 0.999025i | \(-0.485944\pi\) |
0.958517 | + | 0.285034i | \(0.0920049\pi\) | |||||||
\(648\) | 0.495202 | − | 2.04125i | 0.0194534 | − | 0.0801879i | ||||
\(649\) | 28.7197 | + | 5.53526i | 1.12735 | + | 0.217278i | ||||
\(650\) | −3.36059 | + | 11.4451i | −0.131813 | + | 0.448914i | ||||
\(651\) | 16.8884 | + | 9.31543i | 0.661909 | + | 0.365100i | ||||
\(652\) | −2.61376 | − | 5.72333i | −0.102363 | − | 0.224143i | ||||
\(653\) | −4.21003 | + | 12.1641i | −0.164751 | + | 0.476017i | −0.996913 | − | 0.0785160i | \(-0.974982\pi\) |
0.832162 | + | 0.554533i | \(0.187103\pi\) | |||||||
\(654\) | 20.3459 | − | 10.4890i | 0.795586 | − | 0.410153i | ||||
\(655\) | −4.53785 | + | 5.77034i | −0.177308 | + | 0.225466i | ||||
\(656\) | 21.1684 | + | 52.8762i | 0.826488 | + | 2.06447i | ||||
\(657\) | −8.68957 | + | 13.5212i | −0.339012 | + | 0.527513i | ||||
\(658\) | 0.905079 | + | 5.52623i | 0.0352837 | + | 0.215435i | ||||
\(659\) | 7.47453 | − | 3.41351i | 0.291167 | − | 0.132971i | −0.264477 | − | 0.964392i | \(-0.585199\pi\) |
0.555643 | + | 0.831421i | \(0.312472\pi\) | |||||||
\(660\) | −1.52613 | − | 0.786772i | −0.0594044 | − | 0.0306251i | ||||
\(661\) | 25.3700 | − | 24.1903i | 0.986779 | − | 0.940892i | −0.0114762 | − | 0.999934i | \(-0.503653\pi\) |
0.998256 | + | 0.0590419i | \(0.0188046\pi\) | |||||||
\(662\) | 16.5340 | + | 47.7718i | 0.642611 | + | 1.85670i | ||||
\(663\) | 6.39515 | + | 6.09776i | 0.248367 | + | 0.236817i | ||||
\(664\) | 8.13435 | − | 17.8117i | 0.315674 | − | 0.691229i | ||||
\(665\) | 9.44904 | + | 4.09406i | 0.366418 | + | 0.158761i | ||||
\(666\) | 13.9916i | 0.542162i | ||||||||
\(667\) | −5.42770 | − | 10.4553i | −0.210161 | − | 0.404830i | ||||
\(668\) | −1.76767 | − | 1.02057i | −0.0683933 | − | 0.0394869i | ||||
\(669\) | −8.08402 | − | 3.23636i | −0.312546 | − | 0.125125i | ||||
\(670\) | 0.243248 | + | 2.54741i | 0.00939749 | + | 0.0984150i | ||||
\(671\) | −3.71285 | − | 12.6448i | −0.143333 | − | 0.488147i | ||||
\(672\) | −2.25698 | + | 10.1664i | −0.0870649 | + | 0.392176i | ||||
\(673\) | 2.72905 | + | 0.801320i | 0.105197 | + | 0.0308886i | 0.333907 | − | 0.942606i | \(-0.391633\pi\) |
−0.228710 | + | 0.973494i | \(0.573451\pi\) | |||||||
\(674\) | 0.466503 | − | 0.904890i | 0.0179690 | − | 0.0348551i | ||||
\(675\) | 0.429318 | − | 4.49602i | 0.0165245 | − | 0.173052i | ||||
\(676\) | 7.46914 | − | 1.43956i | 0.287275 | − | 0.0553677i | ||||
\(677\) | 0.965231 | − | 20.2627i | 0.0370969 | − | 0.778759i | −0.901299 | − | 0.433197i | \(-0.857385\pi\) |
0.938396 | − | 0.345562i | \(-0.112312\pi\) | |||||||
\(678\) | −3.42258 | + | 23.8046i | −0.131444 | + | 0.914210i | ||||
\(679\) | −2.67660 | + | 15.5125i | −0.102718 | + | 0.595316i | ||||
\(680\) | 6.79040 | + | 4.36392i | 0.260400 | + | 0.167349i | ||||
\(681\) | −8.64261 | − | 2.99124i | −0.331186 | − | 0.114624i | ||||
\(682\) | 40.6360 | + | 3.88027i | 1.55603 | + | 0.148583i | ||||
\(683\) | −1.42507 | − | 29.9160i | −0.0545289 | − | 1.14470i | −0.845891 | − | 0.533356i | \(-0.820931\pi\) |
0.791362 | − | 0.611348i | \(-0.209372\pi\) | |||||||
\(684\) | −0.961175 | − | 3.96202i | −0.0367515 | − | 0.151492i | ||||
\(685\) | 2.63701 | + | 2.28498i | 0.100755 | + | 0.0873046i | ||||
\(686\) | −20.2864 | − | 22.8973i | −0.774540 | − | 0.874225i | ||||
\(687\) | 5.05983 | + | 2.31075i | 0.193044 | + | 0.0881604i | ||||
\(688\) | −21.9083 | − | 27.8586i | −0.835245 | − | 1.06210i | ||||
\(689\) | −7.80904 | + | 13.5257i | −0.297501 | + | 0.515286i | ||||
\(690\) | −5.28084 | + | 1.56689i | −0.201038 | + | 0.0596505i | ||||
\(691\) | 28.2032 | − | 16.2831i | 1.07290 | − | 0.619440i | 0.143929 | − | 0.989588i | \(-0.454026\pi\) |
0.928973 | + | 0.370148i | \(0.120693\pi\) | |||||||
\(692\) | −4.24426 | + | 0.610232i | −0.161342 | + | 0.0231975i | ||||
\(693\) | 8.05104 | + | 3.95346i | 0.305834 | + | 0.150179i | ||||
\(694\) | 37.4072 | − | 10.9837i | 1.41996 | − | 0.416937i | ||||
\(695\) | 2.19426 | − | 11.3849i | 0.0832331 | − | 0.431855i | ||||
\(696\) | 3.56042 | + | 3.73407i | 0.134958 | + | 0.141539i | ||||
\(697\) | 63.8231 | − | 3.04027i | 2.41747 | − | 0.115158i | ||||
\(698\) | 41.9130 | + | 29.8461i | 1.58643 | + | 1.12969i | ||||
\(699\) | 7.79676 | − | 6.75593i | 0.294901 | − | 0.255533i | ||||
\(700\) | −0.657899 | + | 8.67863i | −0.0248663 | + | 0.328022i | ||||
\(701\) | 18.2985 | + | 2.63092i | 0.691123 | + | 0.0993685i | 0.478922 | − | 0.877858i | \(-0.341028\pi\) |
0.212201 | + | 0.977226i | \(0.431937\pi\) | |||||||
\(702\) | 2.45188 | − | 0.981585i | 0.0925402 | − | 0.0370475i | ||||
\(703\) | −21.7261 | − | 42.1428i | −0.819417 | − | 1.58945i | ||||
\(704\) | −2.14988 | − | 11.1546i | −0.0810265 | − | 0.420405i | ||||
\(705\) | 0.516842 | − | 0.725803i | 0.0194654 | − | 0.0273353i | ||||
\(706\) | −17.0130 | − | 26.4727i | −0.640291 | − | 0.996313i | ||||
\(707\) | 12.7531 | + | 14.1496i | 0.479631 | + | 0.532151i | ||||
\(708\) | 4.11513 | − | 4.74912i | 0.154656 | − | 0.178483i | ||||
\(709\) | −19.2895 | + | 20.2302i | −0.724431 | + | 0.759761i | −0.978236 | − | 0.207494i | \(-0.933469\pi\) |
0.253805 | + | 0.967255i | \(0.418318\pi\) | |||||||
\(710\) | 9.51640 | + | 13.3639i | 0.357144 | + | 0.501539i | ||||
\(711\) | 4.40786 | − | 11.0103i | 0.165308 | − | 0.412919i | ||||
\(712\) | −11.8298 | − | 20.4898i | −0.443339 | − | 0.767886i | ||||
\(713\) | 27.4197 | − | 21.6894i | 1.02688 | − | 0.812273i | ||||
\(714\) | 20.5687 | + | 12.6578i | 0.769765 | + | 0.473708i | ||||
\(715\) | 0.536414 | + | 3.73084i | 0.0200607 | + | 0.139526i | ||||
\(716\) | 17.0619 | − | 1.62921i | 0.637632 | − | 0.0608865i | ||||
\(717\) | −11.4466 | − | 2.77690i | −0.427479 | − | 0.103705i | ||||
\(718\) | 3.29807 | − | 1.14147i | 0.123083 | − | 0.0425994i | ||||
\(719\) | −32.1313 | + | 7.79498i | −1.19830 | + | 0.290704i | −0.784769 | − | 0.619788i | \(-0.787219\pi\) |
−0.413528 | + | 0.910492i | \(0.635703\pi\) | |||||||
\(720\) | 2.88171 | − | 1.85196i | 0.107395 | − | 0.0690186i | ||||
\(721\) | 18.0316 | − | 23.8746i | 0.671533 | − | 0.889138i | ||||
\(722\) | 13.3383 | + | 15.3932i | 0.496398 | + | 0.572874i | ||||
\(723\) | 5.87280 | + | 0.279756i | 0.218412 | + | 0.0104042i | ||||
\(724\) | −14.9016 | − | 11.7188i | −0.553814 | − | 0.435524i | ||||
\(725\) | 8.72047 | + | 6.85785i | 0.323870 | + | 0.254694i | ||||
\(726\) | 0.812949 | + | 0.0387255i | 0.0301714 | + | 0.00143724i | ||||
\(727\) | 16.1091 | + | 18.5909i | 0.597454 | + | 0.689498i | 0.971263 | − | 0.238007i | \(-0.0764941\pi\) |
−0.373810 | + | 0.927505i | \(0.621949\pi\) | |||||||
\(728\) | 8.18311 | − | 3.46301i | 0.303286 | − | 0.128348i | ||||
\(729\) | −0.841254 | + | 0.540641i | −0.0311575 | + | 0.0200237i | ||||
\(730\) | −17.9404 | + | 4.35230i | −0.664005 | + | 0.161086i | ||||
\(731\) | −37.5725 | + | 13.0040i | −1.38967 | + | 0.480969i | ||||
\(732\) | −2.75162 | − | 0.667535i | −0.101703 | − | 0.0246728i | ||||
\(733\) | 9.14537 | − | 0.873277i | 0.337792 | − | 0.0322552i | 0.0752180 | − | 0.997167i | \(-0.476035\pi\) |
0.262574 | + | 0.964912i | \(0.415429\pi\) | |||||||
\(734\) | 2.52016 | + | 17.5281i | 0.0930209 | + | 0.646974i | ||||
\(735\) | −0.273043 | + | 4.85986i | −0.0100714 | + | 0.179259i | ||||
\(736\) | 15.4076 | + | 10.9059i | 0.567931 | + | 0.401997i | ||||
\(737\) | −3.77650 | − | 6.54109i | −0.139109 | − | 0.240944i | ||||
\(738\) | 7.09784 | − | 17.7296i | 0.261275 | − | 0.652634i | ||||
\(739\) | −9.15502 | − | 12.8564i | −0.336773 | − | 0.472931i | 0.611112 | − | 0.791544i | \(-0.290722\pi\) |
−0.947885 | + | 0.318613i | \(0.896783\pi\) | |||||||
\(740\) | −2.96054 | + | 3.10493i | −0.108832 | + | 0.114139i | ||||
\(741\) | −5.86090 | + | 6.76384i | −0.215306 | + | 0.248476i | ||||
\(742\) | −13.1709 | + | 40.6047i | −0.483520 | + | 1.49064i | ||||
\(743\) | 27.3801 | + | 42.6043i | 1.00448 | + | 1.56300i | 0.813633 | + | 0.581379i | \(0.197487\pi\) |
0.190845 | + | 0.981620i | \(0.438877\pi\) | |||||||
\(744\) | −8.88188 | + | 12.4729i | −0.325625 | + | 0.457277i | ||||
\(745\) | −0.865971 | − | 4.49309i | −0.0317267 | − | 0.164614i | ||||
\(746\) | 16.8160 | + | 32.6186i | 0.615679 | + | 1.19425i | ||||
\(747\) | −8.65458 | + | 3.46477i | −0.316655 | + | 0.126769i | ||||
\(748\) | 13.5070 | + | 1.94201i | 0.493865 | + | 0.0710071i | ||||
\(749\) | −22.7179 | − | 1.72217i | −0.830095 | − | 0.0629268i | ||||
\(750\) | 8.26067 | − | 7.15791i | 0.301637 | − | 0.261370i | ||||
\(751\) | 26.2388 | + | 18.6846i | 0.957469 | + | 0.681811i | 0.948042 | − | 0.318145i | \(-0.103060\pi\) |
0.00942686 | + | 0.999956i | \(0.496999\pi\) | |||||||
\(752\) | −6.30519 | + | 0.300353i | −0.229927 | + | 0.0109528i | ||||
\(753\) | −1.79112 | − | 1.87847i | −0.0652720 | − | 0.0684553i | ||||
\(754\) | −1.22774 | + | 6.37012i | −0.0447116 | + | 0.231986i | ||||
\(755\) | −1.60495 | + | 0.471255i | −0.0584100 | + | 0.0171507i | ||||
\(756\) | 1.60049 | − | 1.07332i | 0.0582091 | − | 0.0390364i | ||||
\(757\) | 31.4154 | − | 4.51686i | 1.14181 | − | 0.164168i | 0.454650 | − | 0.890670i | \(-0.349764\pi\) |
0.687164 | + | 0.726502i | \(0.258855\pi\) | |||||||
\(758\) | −33.6200 | + | 19.4105i | −1.22113 | + | 0.705023i | ||||
\(759\) | 12.2569 | − | 10.6818i | 0.444899 | − | 0.387724i | ||||
\(760\) | −4.08773 | + | 7.08015i | −0.148278 | + | 0.256824i | ||||
\(761\) | −5.01881 | − | 6.38193i | −0.181932 | − | 0.231345i | 0.686530 | − | 0.727102i | \(-0.259133\pi\) |
−0.868461 | + | 0.495757i | \(0.834891\pi\) | |||||||
\(762\) | 17.5355 | + | 8.00821i | 0.635245 | + | 0.290107i | ||||
\(763\) | −35.3750 | − | 9.64049i | −1.28066 | − | 0.349009i | ||||
\(764\) | −10.8597 | − | 9.40997i | −0.392890 | − | 0.340441i | ||||
\(765\) | −0.905987 | − | 3.73453i | −0.0327560 | − | 0.135022i | ||||
\(766\) | −0.409515 | − | 8.59678i | −0.0147964 | − | 0.310614i | ||||
\(767\) | −13.7323 | − | 1.31128i | −0.495846 | − | 0.0473476i | ||||
\(768\) | −14.5943 | − | 5.05114i | −0.526627 | − | 0.182267i | ||||
\(769\) | 10.5028 | + | 6.74977i | 0.378742 | + | 0.243403i | 0.716136 | − | 0.697961i | \(-0.245909\pi\) |
−0.337394 | + | 0.941364i | \(0.609545\pi\) | |||||||
\(770\) | 3.55901 | + | 9.66772i | 0.128258 | + | 0.348400i | ||||
\(771\) | 2.00486 | − | 13.9441i | 0.0722034 | − | 0.502185i | ||||
\(772\) | −0.0629845 | + | 1.32221i | −0.00226686 | + | 0.0475873i | ||||
\(773\) | −12.5200 | + | 2.41303i | −0.450313 | + | 0.0867907i | −0.409365 | − | 0.912371i | \(-0.634250\pi\) |
−0.0409477 | + | 0.999161i | \(0.513038\pi\) | |||||||
\(774\) | −1.12960 | + | 11.8297i | −0.0406027 | + | 0.425211i | ||||
\(775\) | −15.0869 | + | 29.2645i | −0.541937 | + | 1.05121i | ||||
\(776\) | −11.9911 | − | 3.52092i | −0.430457 | − | 0.126394i | ||||
\(777\) | 15.1456 | − | 16.5188i | 0.543347 | − | 0.592607i | ||||
\(778\) | 7.76899 | + | 26.4587i | 0.278532 | + | 0.948592i | ||||
\(779\) | 6.15168 | + | 64.4233i | 0.220407 | + | 2.30820i | ||||
\(780\) | 0.751806 | + | 0.300978i | 0.0269190 | + | 0.0107767i | ||||
\(781\) | −41.9356 | − | 24.2115i | −1.50057 | − | 0.866357i | ||||
\(782\) | 35.5885 | − | 25.4950i | 1.27264 | − | 0.911699i | ||||
\(783\) | − | 2.45634i | − | 0.0877824i | ||||||
\(784\) | 28.2589 | − | 19.7622i | 1.00925 | − | 0.705793i | ||||
\(785\) | 1.54399 | − | 3.38087i | 0.0551074 | − | 0.120668i | ||||
\(786\) | −12.6203 | − | 12.0334i | −0.450151 | − | 0.429218i | ||||
\(787\) | −7.69323 | − | 22.2281i | −0.274234 | − | 0.792347i | −0.995064 | − | 0.0992350i | \(-0.968360\pi\) |
0.720830 | − | 0.693112i | \(-0.243761\pi\) | |||||||
\(788\) | −4.47826 | + | 4.27001i | −0.159531 | + | 0.152113i | ||||
\(789\) | −17.8418 | − | 9.19810i | −0.635186 | − | 0.327461i | ||||
\(790\) | 12.3910 | − | 5.65878i | 0.440852 | − | 0.201330i | ||||
\(791\) | 29.8089 | − | 24.3994i | 1.05988 | − | 0.867542i | ||||
\(792\) | −3.84977 | + | 5.99036i | −0.136796 | + | 0.212858i | ||||
\(793\) | 2.31013 | + | 5.77042i | 0.0820350 | + | 0.204913i | ||||
\(794\) | 30.7004 | − | 39.0387i | 1.08952 | − | 1.38543i | ||||
\(795\) | 6.03714 | − | 3.11236i | 0.214115 | − | 0.110384i | ||||
\(796\) | 1.30098 | − | 3.75895i | 0.0461122 | − | 0.133232i | ||||
\(797\) | −6.58655 | − | 14.4225i | −0.233308 | − | 0.510872i | 0.756377 | − | 0.654136i | \(-0.226968\pi\) |
−0.989685 | + | 0.143264i | \(0.954240\pi\) | |||||||
\(798\) | −11.8147 | + | 21.4194i | −0.418235 | + | 0.758238i | ||||
\(799\) | −1.99507 | + | 6.79458i | −0.0705804 | + | 0.240375i | ||||
\(800\) | −17.4559 | − | 3.36435i | −0.617160 | − | 0.118948i | ||||
\(801\) | −2.65558 | + | 10.9465i | −0.0938304 | + | 0.386774i | ||||
\(802\) | 16.5699 | − | 11.7994i | 0.585103 | − | 0.416650i | ||||
\(803\) | 42.8305 | − | 33.6822i | 1.51145 | − | 1.18862i | ||||
\(804\) | −1.62276 | −0.0572305 | ||||||||
\(805\) | 7.93082 | + | 3.86652i | 0.279525 | + | 0.136277i | ||||
\(806\) | −19.2530 | −0.678159 | ||||||||
\(807\) | −2.05614 | + | 1.61696i | −0.0723794 | + | 0.0569198i | ||||
\(808\) | −12.3187 | + | 8.77208i | −0.433369 | + | 0.308601i | ||||
\(809\) | 3.50393 | − | 14.4434i | 0.123192 | − | 0.507803i | −0.876462 | − | 0.481472i | \(-0.840102\pi\) |
0.999653 | − | 0.0263313i | \(-0.00838248\pi\) | |||||||
\(810\) | −1.12782 | − | 0.217370i | −0.0396277 | − | 0.00763761i | ||||
\(811\) | −0.126787 | + | 0.431797i | −0.00445209 | + | 0.0151624i | −0.961689 | − | 0.274143i | \(-0.911606\pi\) |
0.957237 | + | 0.289305i | \(0.0934242\pi\) | |||||||
\(812\) | 0.0924764 | + | 4.73262i | 0.00324529 | + | 0.166082i | ||||
\(813\) | −3.45730 | − | 7.57044i | −0.121253 | − | 0.265507i | ||||
\(814\) | 15.5137 | − | 44.8239i | 0.543755 | − | 1.57108i | ||||
\(815\) | 5.33909 | − | 2.75249i | 0.187020 | − | 0.0964156i | ||||
\(816\) | −16.8289 | + | 21.3997i | −0.589131 | + | 0.749141i | ||||
\(817\) | −14.9669 | − | 37.3854i | −0.523624 | − | 1.30795i | ||||
\(818\) | −8.98785 | + | 13.9854i | −0.314253 | + | 0.488987i | ||||
\(819\) | −3.95730 | − | 1.49524i | −0.138279 | − | 0.0522479i | ||||
\(820\) | 5.32660 | − | 2.43257i | 0.186013 | − | 0.0849492i | ||||
\(821\) | 31.3611 | + | 16.1678i | 1.09451 | + | 0.564260i | 0.908329 | − | 0.418255i | \(-0.137358\pi\) |
0.186182 | + | 0.982515i | \(0.440389\pi\) | |||||||
\(822\) | −5.99864 | + | 5.71969i | −0.209227 | + | 0.199497i | ||||
\(823\) | −7.25095 | − | 20.9502i | −0.252752 | − | 0.730280i | −0.997984 | − | 0.0634735i | \(-0.979782\pi\) |
0.745231 | − | 0.666806i | \(-0.232339\pi\) | |||||||
\(824\) | 17.1905 | + | 16.3911i | 0.598861 | + | 0.571013i | ||||
\(825\) | −6.36053 | + | 13.9276i | −0.221445 | + | 0.484897i | ||||
\(826\) | −37.4561 | + | 4.31658i | −1.30327 | + | 0.150193i | ||||
\(827\) | − | 55.3121i | − | 1.92339i | −0.274122 | − | 0.961695i | \(-0.588387\pi\) | ||
0.274122 | − | 0.961695i | \(-0.411613\pi\) | |||||||
\(828\) | −0.670807 | − | 3.42809i | −0.0233122 | − | 0.119134i | ||||
\(829\) | 9.91959 | + | 5.72708i | 0.344522 | + | 0.198910i | 0.662270 | − | 0.749266i | \(-0.269593\pi\) |
−0.317748 | + | 0.948175i | \(0.602927\pi\) | |||||||
\(830\) | −9.94048 | − | 3.97957i | −0.345039 | − | 0.138133i | ||||
\(831\) | −0.743371 | − | 7.78493i | −0.0257872 | − | 0.270056i | ||||
\(832\) | 1.50948 | + | 5.14083i | 0.0523319 | + | 0.178226i | ||||
\(833\) | −10.5820 | − | 37.2095i | −0.366644 | − | 1.28923i | ||||
\(834\) | 26.4261 | + | 7.75939i | 0.915060 | + | 0.268686i | ||||
\(835\) | 0.892923 | − | 1.73203i | 0.0309009 | − | 0.0599394i | ||||
\(836\) | −1.31379 | + | 13.7586i | −0.0454383 | + | 0.475852i | ||||
\(837\) | 7.15813 | − | 1.37962i | 0.247421 | − | 0.0476865i | ||||
\(838\) | −0.451104 | + | 9.46985i | −0.0155831 | + | 0.327130i | ||||
\(839\) | 2.12145 | − | 14.7550i | 0.0732407 | − | 0.509400i | −0.919870 | − | 0.392223i | \(-0.871706\pi\) |
0.993111 | − | 0.117177i | \(-0.0373846\pi\) | |||||||
\(840\) | −3.80806 | − | 0.657058i | −0.131390 | − | 0.0226707i | ||||
\(841\) | −19.3206 | − | 12.4166i | −0.666226 | − | 0.428158i | ||||
\(842\) | −16.7482 | − | 5.79662i | −0.577183 | − | 0.199765i | ||||
\(843\) | 16.9508 | + | 1.61860i | 0.583816 | + | 0.0557476i | ||||
\(844\) | 0.262609 | + | 5.51285i | 0.00903939 | + | 0.189760i | ||||
\(845\) | 1.71207 | + | 7.05726i | 0.0588971 | + | 0.242777i | ||||
\(846\) | 1.59958 | + | 1.38604i | 0.0549947 | + | 0.0476532i | ||||
\(847\) | −0.917866 | − | 0.925724i | −0.0315383 | − | 0.0318083i | ||||
\(848\) | −43.7702 | − | 19.9892i | −1.50307 | − | 0.686431i | ||||
\(849\) | −9.59306 | − | 12.1986i | −0.329233 | − | 0.418654i | ||||
\(850\) | −20.6141 | + | 35.7046i | −0.707057 | + | 1.22466i | ||||
\(851\) | −16.9805 | − | 36.9045i | −0.582084 | − | 1.26507i | ||||
\(852\) | −9.00987 | + | 5.20185i | −0.308673 | + | 0.178212i | ||||
\(853\) | 10.7519 | − | 1.54589i | 0.368138 | − | 0.0529302i | 0.0442364 | − | 0.999021i | \(-0.485915\pi\) |
0.323901 | + | 0.946091i | \(0.395005\pi\) | |||||||
\(854\) | 9.46222 | + | 14.1096i | 0.323790 | + | 0.482820i | ||||
\(855\) | 3.73456 | − | 1.09657i | 0.127719 | − | 0.0375017i | ||||
\(856\) | 3.42308 | − | 17.7606i | 0.116998 | − | 0.607046i | ||||
\(857\) | −29.6413 | − | 31.0869i | −1.01253 | − | 1.06191i | −0.998075 | − | 0.0620122i | \(-0.980248\pi\) |
−0.0144517 | − | 0.999896i | \(-0.504600\pi\) | |||||||
\(858\) | −8.94331 | + | 0.426022i | −0.305320 | + | 0.0145442i | ||||
\(859\) | 12.3212 | + | 8.77388i | 0.420394 | + | 0.299361i | 0.770609 | − | 0.637308i | \(-0.219952\pi\) |
−0.350215 | + | 0.936669i | \(0.613892\pi\) | |||||||
\(860\) | −2.75378 | + | 2.38617i | −0.0939033 | + | 0.0813676i | ||||
\(861\) | −27.5718 | + | 13.2486i | −0.939645 | + | 0.451512i | ||||
\(862\) | −50.6713 | − | 7.28543i | −1.72587 | − | 0.248143i | ||||
\(863\) | 31.7611 | − | 12.7152i | 1.08116 | − | 0.432832i | 0.238427 | − | 0.971160i | \(-0.423368\pi\) |
0.842735 | + | 0.538329i | \(0.180944\pi\) | |||||||
\(864\) | 1.80361 | + | 3.49852i | 0.0613602 | + | 0.119022i | ||||
\(865\) | −0.774723 | − | 4.01965i | −0.0263414 | − | 0.136672i | ||||
\(866\) | −25.1980 | + | 35.3857i | −0.856263 | + | 1.20245i | ||||
\(867\) | 7.32096 | + | 11.3916i | 0.248633 | + | 0.386880i | ||||
\(868\) | −13.7396 | + | 2.92759i | −0.466353 | + | 0.0993690i | ||||
\(869\) | −26.3293 | + | 30.3857i | −0.893162 | + | 1.03076i | ||||
\(870\) | 1.94692 | − | 2.04187i | 0.0660068 | − | 0.0692260i | ||||
\(871\) | 2.06636 | + | 2.90180i | 0.0700161 | + | 0.0983238i | ||||
\(872\) | 10.8185 | − | 27.0233i | 0.366361 | − | 0.915125i | ||||
\(873\) | 2.97491 | + | 5.15270i | 0.100686 | + | 0.174392i | ||||
\(874\) | 27.5084 | + | 34.7762i | 0.930486 | + | 1.17632i | ||||
\(875\) | −17.5011 | − | 0.491247i | −0.591644 | − | 0.0166072i | ||||
\(876\) | −1.66604 | − | 11.5876i | −0.0562904 | − | 0.391509i | ||||
\(877\) | −22.7413 | + | 2.17153i | −0.767918 | + | 0.0733272i | −0.471660 | − | 0.881781i | \(-0.656345\pi\) |
−0.296258 | + | 0.955108i | \(0.595739\pi\) | |||||||
\(878\) | 34.4301 | + | 8.35264i | 1.16196 | + | 0.281888i | ||||
\(879\) | 1.14267 | − | 0.395483i | 0.0385414 | − | 0.0133393i | ||||
\(880\) | −11.2854 | + | 2.73781i | −0.380431 | + | 0.0922915i | ||||
\(881\) | 28.0702 | − | 18.0396i | 0.945709 | − | 0.607770i | 0.0257008 | − | 0.999670i | \(-0.491818\pi\) |
0.920008 | + | 0.391900i | \(0.128182\pi\) | |||||||
\(882\) | −11.4303 | − | 1.74300i | −0.384878 | − | 0.0586900i | ||||
\(883\) | 9.84399 | + | 11.3606i | 0.331277 | + | 0.382314i | 0.896813 | − | 0.442410i | \(-0.145876\pi\) |
−0.565536 | + | 0.824723i | \(0.691331\pi\) | |||||||
\(884\) | −6.42875 | − | 0.306239i | −0.216222 | − | 0.0102999i | ||||
\(885\) | 4.71574 | + | 3.70850i | 0.158518 | + | 0.124660i | ||||
\(886\) | −37.8002 | − | 29.7264i | −1.26992 | − | 0.998679i | ||||
\(887\) | −8.55108 | − | 0.407338i | −0.287117 | − | 0.0136771i | −0.0964707 | − | 0.995336i | \(-0.530755\pi\) |
−0.190647 | + | 0.981659i | \(0.561058\pi\) | |||||||
\(888\) | 11.6514 | + | 13.4464i | 0.390996 | + | 0.451233i | ||||
\(889\) | −12.0341 | − | 28.4366i | −0.403611 | − | 0.953733i | ||||
\(890\) | −10.8838 | + | 6.99458i | −0.364825 | + | 0.234459i | ||||
\(891\) | 3.29453 | − | 0.799245i | 0.110371 | − | 0.0267757i | ||||
\(892\) | 5.99359 | − | 2.07440i | 0.200680 | − | 0.0694561i | ||||
\(893\) | −6.97022 | − | 1.69096i | −0.233250 | − | 0.0565857i | ||||
\(894\) | 10.8202 | − | 1.03320i | 0.361881 | − | 0.0345554i | ||||
\(895\) | 2.32869 | + | 16.1964i | 0.0778394 | + | 0.541385i | ||||
\(896\) | 16.8670 | + | 31.2051i | 0.563487 | + | 1.04249i | ||||
\(897\) | −5.27587 | + | 5.56472i | −0.176156 | + | 0.185801i | ||||
\(898\) | −15.9619 | − | 27.6468i | −0.532654 | − | 0.922584i | ||||
\(899\) | −6.65513 | + | 16.6237i | −0.221961 | + | 0.554432i | ||||
\(900\) | 1.90817 | + | 2.67965i | 0.0636057 | + | 0.0893217i | ||||
\(901\) | −37.2513 | + | 39.0681i | −1.24102 | + | 1.30155i | ||||
\(902\) | −42.3973 | + | 48.9291i | −1.41168 | + | 1.62916i | ||||
\(903\) | 14.1391 | − | 12.7437i | 0.470520 | − | 0.424083i | ||||
\(904\) | 16.5339 | + | 25.7273i | 0.549911 | + | 0.855678i | ||||
\(905\) | 10.4982 | − | 14.7427i | 0.348972 | − | 0.490063i | ||||
\(906\) | −0.751966 | − | 3.90157i | −0.0249824 | − | 0.129621i | ||||
\(907\) | −9.67811 | − | 18.7729i | −0.321356 | − | 0.623344i | 0.671721 | − | 0.740804i | \(-0.265555\pi\) |
−0.993078 | + | 0.117460i | \(0.962525\pi\) | |||||||
\(908\) | 6.18415 | − | 2.47576i | 0.205228 | − | 0.0821610i | ||||
\(909\) | 7.12646 | + | 1.02463i | 0.236370 | + | 0.0339849i | ||||
\(910\) | −2.10442 | − | 4.37954i | −0.0697610 | − | 0.145180i | ||||
\(911\) | 15.6251 | − | 13.5392i | 0.517682 | − | 0.448574i | −0.356413 | − | 0.934328i | \(-0.616001\pi\) |
0.874095 | + | 0.485755i | \(0.161455\pi\) | |||||||
\(912\) | −22.4612 | − | 15.9945i | −0.743763 | − | 0.529631i | ||||
\(913\) | 31.5679 | − | 1.50376i | 1.04474 | − | 0.0497673i | ||||
\(914\) | −39.8704 | − | 41.8148i | −1.31879 | − | 1.38311i | ||||
\(915\) | 0.511573 | − | 2.65429i | 0.0169121 | − | 0.0877483i | ||||
\(916\) | −3.88740 | + | 1.14144i | −0.128443 | + | 0.0377143i | ||||
\(917\) | 1.87382 | + | 27.8682i | 0.0618790 | + | 0.920289i | ||||
\(918\) | 9.03548 | − | 1.29911i | 0.298215 | − | 0.0428769i | ||||
\(919\) | −42.5241 | + | 24.5513i | −1.40274 | + | 0.809872i | −0.994673 | − | 0.103080i | \(-0.967130\pi\) |
−0.408066 | + | 0.912952i | \(0.633797\pi\) | |||||||
\(920\) | −3.77028 | + | 5.90344i | −0.124302 | + | 0.194631i | ||||
\(921\) | −9.33787 | + | 16.1737i | −0.307693 | + | 0.532940i | ||||
\(922\) | −0.713966 | − | 0.907882i | −0.0235132 | − | 0.0298995i | ||||
\(923\) | 20.7747 | + | 9.48748i | 0.683807 | + | 0.312284i | ||||
\(924\) | −6.31747 | + | 1.66393i | −0.207830 | + | 0.0547394i | ||||
\(925\) | 28.9129 | + | 25.0532i | 0.950652 | + | 0.823744i | ||||
\(926\) | 7.77696 | + | 32.0571i | 0.255567 | + | 1.05346i | ||||
\(927\) | −0.538069 | − | 11.2955i | −0.0176725 | − | 0.370992i | ||||
\(928\) | −9.62456 | − | 0.919034i | −0.315942 | − | 0.0301688i | ||||
\(929\) | −8.09682 | − | 2.80234i | −0.265648 | − | 0.0919416i | 0.190997 | − | 0.981591i | \(-0.438828\pi\) |
−0.456645 | + | 0.889649i | \(0.650949\pi\) | |||||||
\(930\) | 7.04381 | + | 4.52678i | 0.230976 | + | 0.148439i | ||||
\(931\) | 37.1348 | − | 12.4990i | 1.21704 | − | 0.409640i | ||||
\(932\) | −1.06938 | + | 7.43773i | −0.0350289 | + | 0.243631i | ||||
\(933\) | 0.956679 | − | 20.0832i | 0.0313203 | − | 0.657493i | ||||
\(934\) | 11.4185 | − | 2.20073i | 0.373624 | − | 0.0720101i | ||||
\(935\) | −1.23835 | + | 12.9686i | −0.0404985 | + | 0.424120i | ||||
\(936\) | 1.53894 | − | 2.98514i | 0.0503020 | − | 0.0975722i | ||||
\(937\) | 52.6320 | + | 15.4541i | 1.71941 | + | 0.504865i | 0.984810 | − | 0.173634i | \(-0.0555510\pi\) |
0.734601 | + | 0.678499i | \(0.237369\pi\) | |||||||
\(938\) | 7.17665 | + | 6.58009i | 0.234326 | + | 0.214847i | ||||
\(939\) | 9.29911 | + | 31.6698i | 0.303465 | + | 1.03351i | ||||
\(940\) | 0.0616899 | + | 0.646046i | 0.00201210 | + | 0.0210717i | ||||
\(941\) | −1.12774 | − | 0.451478i | −0.0367632 | − | 0.0147178i | 0.353208 | − | 0.935545i | \(-0.385091\pi\) |
−0.389971 | + | 0.920827i | \(0.627515\pi\) | |||||||
\(942\) | 7.64599 | + | 4.41442i | 0.249120 | + | 0.143829i | ||||
\(943\) | 2.79556 | + | 55.3781i | 0.0910359 | + | 1.80336i | ||||
\(944\) | − | 42.5012i | − | 1.38330i | ||||||
\(945\) | 1.09623 | + | 1.47748i | 0.0356605 | + | 0.0480625i | ||||
\(946\) | 16.7355 | − | 36.6457i | 0.544119 | − | 1.19145i | ||||
\(947\) | 23.4655 | + | 22.3743i | 0.762525 | + | 0.727066i | 0.967823 | − | 0.251633i | \(-0.0809678\pi\) |
−0.205298 | + | 0.978700i | \(0.565816\pi\) | |||||||
\(948\) | 2.82530 | + | 8.16317i | 0.0917615 | + | 0.265127i | ||||
\(949\) | −18.5993 | + | 17.7344i | −0.603758 | + | 0.575683i | ||||
\(950\) | −37.1158 | − | 19.1345i | −1.20420 | − | 0.620806i | ||||
\(951\) | −19.8512 | + | 9.06574i | −0.643719 | + | 0.293977i | ||||
\(952\) | 30.3081 | − | 4.96382i | 0.982292 | − | 0.160878i | ||||
\(953\) | 9.22083 | − | 14.3479i | 0.298692 | − | 0.464774i | −0.659174 | − | 0.751991i | \(-0.729094\pi\) |
0.957865 | + | 0.287217i | \(0.0927301\pi\) | |||||||
\(954\) | 5.99652 | + | 14.9786i | 0.194144 | + | 0.484949i | ||||
\(955\) | 8.48013 | − | 10.7834i | 0.274411 | − | 0.348942i | ||||
\(956\) | 7.62538 | − | 3.93116i | 0.246622 | − | 0.127143i | ||||
\(957\) | −2.72357 | + | 7.86923i | −0.0880404 | + | 0.254376i | ||||
\(958\) | −7.33125 | − | 16.0532i | −0.236862 | − | 0.518655i | ||||
\(959\) | 13.2736 | − | 0.259369i | 0.428627 | − | 0.00837547i | ||||
\(960\) | 0.656463 | − | 2.23571i | 0.0211873 | − | 0.0721572i | ||||
\(961\) | −21.7420 | − | 4.19044i | −0.701356 | − | 0.135175i | ||||
\(962\) | −5.27427 | + | 21.7408i | −0.170049 | + | 0.700952i | ||||
\(963\) | −7.01448 | + | 4.99499i | −0.226038 | + | 0.160961i | ||||
\(964\) | −3.36617 | + | 2.64719i | −0.108417 | + | 0.0852601i | ||||
\(965\) | −1.26373 | −0.0406810 | ||||||||
\(966\) | −10.9338 | + | 17.8807i | −0.351789 | + | 0.575301i | ||||
\(967\) | −20.3010 | −0.652836 | −0.326418 | − | 0.945226i | \(-0.605842\pi\) | ||||
−0.326418 | + | 0.945226i | \(0.605842\pi\) | |||||||
\(968\) | 0.813525 | − | 0.639763i | 0.0261477 | − | 0.0205628i | ||||
\(969\) | −25.1978 | + | 17.9433i | −0.809469 | + | 0.576421i | ||||
\(970\) | −1.61114 | + | 6.64121i | −0.0517306 | + | 0.213237i | ||||
\(971\) | −34.2257 | − | 6.59646i | −1.09835 | − | 0.211690i | −0.392292 | − | 0.919841i | \(-0.628318\pi\) |
−0.706062 | + | 0.708150i | \(0.749530\pi\) | |||||||
\(972\) | 0.205203 | − | 0.698858i | 0.00658190 | − | 0.0224159i | ||||
\(973\) | −22.7998 | − | 37.7667i | −0.730928 | − | 1.21074i | ||||
\(974\) | 8.92446 | + | 19.5418i | 0.285958 | + | 0.626161i | ||||
\(975\) | 2.36192 | − | 6.82433i | 0.0756420 | − | 0.218553i | ||||
\(976\) | −17.0213 | + | 8.77510i | −0.544839 | + | 0.280884i | ||||
\(977\) | −16.3274 | + | 20.7619i | −0.522358 | + | 0.664233i | −0.973624 | − | 0.228157i | \(-0.926730\pi\) |
0.451266 | + | 0.892389i | \(0.350973\pi\) | |||||||
\(978\) | 5.30317 | + | 13.2467i | 0.169577 | + | 0.423582i | ||||
\(979\) | 20.6449 | − | 32.1240i | 0.659813 | − | 1.02669i | ||||
\(980\) | −2.16774 | − | 2.80539i | −0.0692458 | − | 0.0896149i | ||||
\(981\) | −12.6058 | + | 5.75687i | −0.402472 | + | 0.183803i | ||||
\(982\) | 14.7398 | + | 7.59890i | 0.470366 | + | 0.242491i | ||||
\(983\) | 0.821564 | − | 0.783360i | 0.0262038 | − | 0.0249853i | −0.676864 | − | 0.736108i | \(-0.736661\pi\) |
0.703068 | + | 0.711123i | \(0.251813\pi\) | |||||||
\(984\) | −7.94290 | − | 22.9495i | −0.253210 | − | 0.731604i | ||||
\(985\) | −4.27536 | − | 4.07654i | −0.136224 | − | 0.129889i | ||||
\(986\) | −9.31462 | + | 20.3962i | −0.296638 | + | 0.649546i | ||||
\(987\) | −0.388131 | − | 3.36792i | −0.0123543 | − | 0.107202i | ||||
\(988\) | − | 6.51872i | − | 0.207388i | ||||||
\(989\) | −11.3774 | − | 32.5733i | −0.361779 | − | 1.03577i | ||||
\(990\) | 3.37212 | + | 1.94690i | 0.107173 | + | 0.0618764i | ||||
\(991\) | −4.11409 | − | 1.64703i | −0.130688 | − | 0.0523197i | 0.305397 | − | 0.952225i | \(-0.401211\pi\) |
−0.436085 | + | 0.899906i | \(0.643635\pi\) | |||||||
\(992\) | −2.72749 | − | 28.5635i | −0.0865978 | − | 0.906894i | ||||
\(993\) | −8.62234 | − | 29.3650i | −0.273622 | − | 0.931870i | ||||
\(994\) | 60.9388 | + | 13.5287i | 1.93286 | + | 0.429104i | ||||
\(995\) | 3.64367 | + | 1.06988i | 0.115512 | + | 0.0339174i | ||||
\(996\) | 3.11138 | − | 6.03524i | 0.0985879 | − | 0.191234i | ||||
\(997\) | 1.83215 | − | 19.1872i | 0.0580249 | − | 0.607664i | −0.918959 | − | 0.394352i | \(-0.870969\pi\) |
0.976984 | − | 0.213312i | \(-0.0684249\pi\) | |||||||
\(998\) | 20.0107 | − | 3.85674i | 0.633426 | − | 0.122083i | ||||
\(999\) | 0.403048 | − | 8.46102i | 0.0127519 | − | 0.267695i |
(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 | 483.2.bf.a.388.26 | yes | 640 | |
7.5 | odd | 6 | inner | 483.2.bf.a.250.7 | yes | 640 | |
23.15 | odd | 22 | inner | 483.2.bf.a.199.7 | yes | 640 | |
161.61 | even | 66 | inner | 483.2.bf.a.61.26 | ✓ | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.61.26 | ✓ | 640 | 161.61 | even | 66 | inner | |
483.2.bf.a.199.7 | yes | 640 | 23.15 | odd | 22 | inner | |
483.2.bf.a.250.7 | yes | 640 | 7.5 | odd | 6 | inner | |
483.2.bf.a.388.26 | yes | 640 | 1.1 | even | 1 | trivial |