Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [187,2,Mod(9,187)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(187, base_ring=CyclotomicField(40))
chi = DirichletCharacter(H, H._module([24, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("187.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 187 = 11 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 187.r (of order \(40\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.49320251780\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{40})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{40}]$ |
Embedding invariants
Embedding label | 15.1 | ||
Character | \(\chi\) | \(=\) | 187.15 |
Dual form | 187.2.r.a.25.1 |
$q$-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 \(\left(\mathbb{Z}/187\mathbb{Z}\right)^\times\).
\(n\) | \(35\) | \(122\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(e\left(\frac{3}{8}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.404781 | − | 2.55569i | −0.286224 | − | 1.80714i | −0.541967 | − | 0.840400i | \(-0.682320\pi\) |
0.255744 | − | 0.966745i | \(-0.417680\pi\) | |||||||
\(3\) | −0.751908 | + | 0.0591764i | −0.434114 | + | 0.0341655i | −0.293634 | − | 0.955918i | \(-0.594865\pi\) |
−0.140480 | + | 0.990083i | \(0.544865\pi\) | |||||||
\(4\) | −4.46558 | + | 1.45095i | −2.23279 | + | 0.725477i | ||||
\(5\) | −0.925538 | + | 1.51034i | −0.413913 | + | 0.675445i | −0.989861 | − | 0.142042i | \(-0.954633\pi\) |
0.575947 | + | 0.817487i | \(0.304633\pi\) | |||||||
\(6\) | 0.455595 | + | 1.89769i | 0.185996 | + | 0.774728i | ||||
\(7\) | −0.251290 | + | 3.19294i | −0.0949788 | + | 1.20682i | 0.746073 | + | 0.665864i | \(0.231937\pi\) |
−0.841051 | + | 0.540955i | \(0.818063\pi\) | |||||||
\(8\) | 3.16633 | + | 6.21427i | 1.11947 | + | 2.19708i | ||||
\(9\) | −2.40120 | + | 0.380313i | −0.800401 | + | 0.126771i | ||||
\(10\) | 4.23460 | + | 1.75403i | 1.33910 | + | 0.554673i | ||||
\(11\) | −2.38953 | − | 2.30003i | −0.720471 | − | 0.693485i | ||||
\(12\) | 3.27184 | − | 1.35524i | 0.944499 | − | 0.391224i | ||||
\(13\) | 1.09393 | − | 1.50567i | 0.303402 | − | 0.417596i | −0.629908 | − | 0.776670i | \(-0.716907\pi\) |
0.933309 | + | 0.359074i | \(0.116907\pi\) | |||||||
\(14\) | 8.26189 | − | 0.650225i | 2.20808 | − | 0.173780i | ||||
\(15\) | 0.606543 | − | 1.19041i | 0.156609 | − | 0.307362i | ||||
\(16\) | 7.00276 | − | 5.08780i | 1.75069 | − | 1.27195i | ||||
\(17\) | −4.10547 | + | 0.380902i | −0.995724 | + | 0.0923823i | ||||
\(18\) | 1.94392 | + | 5.98278i | 0.458187 | + | 1.41015i | ||||
\(19\) | −5.53345 | + | 2.81943i | −1.26946 | + | 0.646822i | −0.953340 | − | 0.301897i | \(-0.902380\pi\) |
−0.316119 | + | 0.948719i | \(0.602380\pi\) | |||||||
\(20\) | 1.94163 | − | 8.08746i | 0.434161 | − | 1.80841i | ||||
\(21\) | − | 2.41567i | − | 0.527142i | ||||||
\(22\) | −4.91092 | + | 7.03791i | −1.04701 | + | 1.50049i | ||||
\(23\) | 1.97881 | − | 4.77728i | 0.412611 | − | 0.996132i | −0.571823 | − | 0.820377i | \(-0.693764\pi\) |
0.984434 | − | 0.175754i | \(-0.0562365\pi\) | |||||||
\(24\) | −2.74852 | − | 4.48518i | −0.561040 | − | 0.915535i | ||||
\(25\) | 0.845444 | + | 1.65928i | 0.169089 | + | 0.331855i | ||||
\(26\) | −4.29081 | − | 2.18628i | −0.841497 | − | 0.428764i | ||||
\(27\) | 3.98316 | − | 0.956271i | 0.766559 | − | 0.184034i | ||||
\(28\) | −3.51066 | − | 14.6230i | −0.663453 | − | 2.76348i | ||||
\(29\) | 2.74902 | + | 3.21869i | 0.510481 | + | 0.597696i | 0.954459 | − | 0.298341i | \(-0.0964333\pi\) |
−0.443978 | + | 0.896037i | \(0.646433\pi\) | |||||||
\(30\) | −3.28783 | − | 1.06828i | −0.600272 | − | 0.195040i | ||||
\(31\) | 0.193789 | − | 0.807190i | 0.0348055 | − | 0.144976i | −0.952261 | − | 0.305284i | \(-0.901249\pi\) |
0.987067 | + | 0.160308i | \(0.0512488\pi\) | |||||||
\(32\) | −5.97408 | − | 5.97408i | −1.05608 | − | 1.05608i | ||||
\(33\) | 1.93282 | + | 1.58801i | 0.336460 | + | 0.276436i | ||||
\(34\) | 2.63528 | + | 10.3381i | 0.451948 | + | 1.77297i | ||||
\(35\) | −4.58986 | − | 3.33473i | −0.775827 | − | 0.563671i | ||||
\(36\) | 10.1709 | − | 5.18235i | 1.69516 | − | 0.863725i | ||||
\(37\) | −3.61782 | + | 3.08991i | −0.594766 | + | 0.507978i | −0.895106 | − | 0.445854i | \(-0.852900\pi\) |
0.300340 | + | 0.953832i | \(0.402900\pi\) | |||||||
\(38\) | 9.44542 | + | 13.0005i | 1.53225 | + | 2.10896i | ||||
\(39\) | −0.733434 | + | 1.19686i | −0.117443 | + | 0.191650i | ||||
\(40\) | −12.3162 | − | 0.969308i | −1.94737 | − | 0.153261i | ||||
\(41\) | 4.61418 | − | 5.40251i | 0.720613 | − | 0.843730i | −0.272344 | − | 0.962200i | \(-0.587799\pi\) |
0.992958 | + | 0.118470i | \(0.0377989\pi\) | |||||||
\(42\) | −6.17370 | + | 0.977818i | −0.952622 | + | 0.150881i | ||||
\(43\) | −7.63500 | + | 7.63500i | −1.16433 | + | 1.16433i | −0.180807 | + | 0.983519i | \(0.557871\pi\) |
−0.983519 | + | 0.180807i | \(0.942129\pi\) | |||||||
\(44\) | 14.0079 | + | 6.80386i | 2.11177 | + | 1.02572i | ||||
\(45\) | 1.64800 | − | 3.97863i | 0.245670 | − | 0.593099i | ||||
\(46\) | −13.0102 | − | 3.12348i | −1.91825 | − | 0.460532i | ||||
\(47\) | −9.45772 | − | 3.07300i | −1.37955 | − | 0.448243i | −0.477029 | − | 0.878888i | \(-0.658286\pi\) |
−0.902522 | + | 0.430645i | \(0.858286\pi\) | |||||||
\(48\) | −4.96435 | + | 4.23996i | −0.716543 | + | 0.611985i | ||||
\(49\) | −3.21793 | − | 0.509670i | −0.459704 | − | 0.0728100i | ||||
\(50\) | 3.89837 | − | 2.83233i | 0.551313 | − | 0.400553i | ||||
\(51\) | 3.06440 | − | 0.529350i | 0.429101 | − | 0.0741239i | ||||
\(52\) | −2.70038 | + | 8.31091i | −0.374475 | + | 1.15252i | ||||
\(53\) | 0.473712 | + | 2.99090i | 0.0650693 | + | 0.410832i | 0.998626 | + | 0.0524019i | \(0.0166877\pi\) |
−0.933557 | + | 0.358430i | \(0.883312\pi\) | |||||||
\(54\) | −4.05624 | − | 9.79262i | −0.551984 | − | 1.33261i | ||||
\(55\) | 5.68543 | − | 1.48024i | 0.766623 | − | 0.199596i | ||||
\(56\) | −20.6375 | + | 8.54832i | −2.75780 | + | 1.14232i | ||||
\(57\) | 3.99380 | − | 2.44740i | 0.528991 | − | 0.324166i | ||||
\(58\) | 7.11322 | − | 8.32851i | 0.934012 | − | 1.09359i | ||||
\(59\) | −0.190444 | − | 0.0970359i | −0.0247936 | − | 0.0126330i | 0.441550 | − | 0.897237i | \(-0.354429\pi\) |
−0.466343 | + | 0.884604i | \(0.654429\pi\) | |||||||
\(60\) | −0.981338 | + | 6.19592i | −0.126690 | + | 0.799890i | ||||
\(61\) | 3.48883 | − | 0.837595i | 0.446699 | − | 0.107243i | −0.00385398 | − | 0.999993i | \(-0.501227\pi\) |
0.450553 | + | 0.892750i | \(0.351227\pi\) | |||||||
\(62\) | −2.14137 | − | 0.168529i | −0.271954 | − | 0.0214032i | ||||
\(63\) | −0.610920 | − | 7.76247i | −0.0769687 | − | 0.977980i | ||||
\(64\) | −2.67409 | + | 3.68057i | −0.334261 | + | 0.460071i | ||||
\(65\) | 1.26159 | + | 3.04576i | 0.156481 | + | 0.377780i | ||||
\(66\) | 3.27608 | − | 5.58247i | 0.403257 | − | 0.687154i | ||||
\(67\) | −2.88368 | −0.352297 | −0.176149 | − | 0.984364i | \(-0.556364\pi\) | ||||
−0.176149 | + | 0.984364i | \(0.556364\pi\) | |||||||
\(68\) | 17.7806 | − | 7.65780i | 2.15622 | − | 0.928645i | ||||
\(69\) | −1.20518 | + | 3.70917i | −0.145087 | + | 0.446532i | ||||
\(70\) | −6.66463 | + | 13.0801i | −0.796576 | + | 1.56337i | ||||
\(71\) | 7.68701 | + | 4.71061i | 0.912280 | + | 0.559046i | 0.897583 | − | 0.440846i | \(-0.145321\pi\) |
0.0146975 | + | 0.999892i | \(0.495321\pi\) | |||||||
\(72\) | −9.96636 | − | 13.7175i | −1.17455 | − | 1.61662i | ||||
\(73\) | −6.81765 | − | 7.98245i | −0.797946 | − | 0.934275i | 0.201027 | − | 0.979586i | \(-0.435572\pi\) |
−0.998973 | + | 0.0453108i | \(0.985572\pi\) | |||||||
\(74\) | 9.36127 | + | 7.99528i | 1.08823 | + | 0.929433i | ||||
\(75\) | −0.733886 | − | 1.19759i | −0.0847418 | − | 0.138286i | ||||
\(76\) | 20.6192 | − | 20.6192i | 2.36518 | − | 2.36518i | ||||
\(77\) | 7.94433 | − | 7.05167i | 0.905341 | − | 0.803612i | ||||
\(78\) | 3.35567 | + | 1.38996i | 0.379955 | + | 0.157382i | ||||
\(79\) | −2.68838 | + | 1.64744i | −0.302467 | + | 0.185352i | −0.665447 | − | 0.746445i | \(-0.731759\pi\) |
0.362981 | + | 0.931797i | \(0.381759\pi\) | |||||||
\(80\) | 1.20300 | + | 15.2855i | 0.134499 | + | 1.70897i | ||||
\(81\) | 3.99806 | − | 1.29905i | 0.444228 | − | 0.144339i | ||||
\(82\) | −15.6749 | − | 9.60556i | −1.73100 | − | 1.06076i | ||||
\(83\) | −11.4485 | − | 1.81326i | −1.25664 | − | 0.199031i | −0.507618 | − | 0.861582i | \(-0.669474\pi\) |
−0.749017 | + | 0.662551i | \(0.769474\pi\) | |||||||
\(84\) | 3.50503 | + | 10.7874i | 0.382430 | + | 1.17700i | ||||
\(85\) | 3.22448 | − | 6.55320i | 0.349744 | − | 0.710795i | ||||
\(86\) | 22.6032 | + | 16.4222i | 2.43736 | + | 1.77085i | ||||
\(87\) | −2.25748 | − | 2.25748i | −0.242028 | − | 0.242028i | ||||
\(88\) | 6.72695 | − | 22.1318i | 0.717096 | − | 2.35926i | ||||
\(89\) | 8.74598i | 0.927072i | 0.886078 | + | 0.463536i | \(0.153420\pi\) | ||||
−0.886078 | + | 0.463536i | \(0.846580\pi\) | |||||||
\(90\) | −10.8352 | − | 2.60130i | −1.14213 | − | 0.274201i | ||||
\(91\) | 4.53261 | + | 3.87122i | 0.475147 | + | 0.405814i | ||||
\(92\) | −1.90493 | + | 24.2045i | −0.198603 | + | 2.52349i | ||||
\(93\) | −0.0979449 | + | 0.618400i | −0.0101564 | + | 0.0641251i | ||||
\(94\) | −4.02532 | + | 25.4149i | −0.415180 | + | 2.62134i | ||||
\(95\) | 0.863112 | − | 10.9669i | 0.0885535 | − | 1.12518i | ||||
\(96\) | 4.84549 | + | 4.13844i | 0.494540 | + | 0.422377i | ||||
\(97\) | 13.4335 | + | 3.22509i | 1.36396 | + | 0.327459i | 0.848383 | − | 0.529382i | \(-0.177576\pi\) |
0.515580 | + | 0.856841i | \(0.327576\pi\) | |||||||
\(98\) | 8.43033i | 0.851592i | ||||||||
\(99\) | 6.61248 | + | 4.61406i | 0.664579 | + | 0.463731i | ||||
\(100\) | −6.18293 | − | 6.18293i | −0.618293 | − | 0.618293i | ||||
\(101\) | 6.68815 | + | 4.85922i | 0.665496 | + | 0.483511i | 0.868514 | − | 0.495664i | \(-0.165075\pi\) |
−0.203019 | + | 0.979175i | \(0.565075\pi\) | |||||||
\(102\) | −2.59326 | − | 7.61737i | −0.256771 | − | 0.754232i | ||||
\(103\) | −4.17041 | − | 12.8352i | −0.410922 | − | 1.26469i | −0.915848 | − | 0.401526i | \(-0.868480\pi\) |
0.504925 | − | 0.863163i | \(-0.331520\pi\) | |||||||
\(104\) | 12.8203 | + | 2.03054i | 1.25714 | + | 0.199111i | ||||
\(105\) | 3.64849 | + | 2.23579i | 0.356056 | + | 0.218191i | ||||
\(106\) | 7.45205 | − | 2.42132i | 0.723807 | − | 0.235179i | ||||
\(107\) | −0.757574 | − | 9.62589i | −0.0732374 | − | 0.930570i | −0.918296 | − | 0.395895i | \(-0.870434\pi\) |
0.845058 | − | 0.534674i | \(-0.179566\pi\) | |||||||
\(108\) | −16.3996 | + | 10.0497i | −1.57805 | + | 0.967031i | ||||
\(109\) | 2.78510 | + | 1.15362i | 0.266764 | + | 0.110497i | 0.512056 | − | 0.858952i | \(-0.328884\pi\) |
−0.245292 | + | 0.969449i | \(0.578884\pi\) | |||||||
\(110\) | −6.08440 | − | 13.9310i | −0.580125 | − | 1.32827i | ||||
\(111\) | 2.53742 | − | 2.53742i | 0.240841 | − | 0.240841i | ||||
\(112\) | 14.4854 | + | 23.6379i | 1.36874 | + | 2.23358i | ||||
\(113\) | 13.9688 | + | 11.9305i | 1.31408 | + | 1.12233i | 0.983960 | + | 0.178389i | \(0.0570887\pi\) |
0.330118 | + | 0.943940i | \(0.392911\pi\) | |||||||
\(114\) | −7.87141 | − | 9.21624i | −0.737225 | − | 0.863180i | ||||
\(115\) | 5.38385 | + | 7.41024i | 0.502047 | + | 0.691008i | ||||
\(116\) | −16.9462 | − | 10.3846i | −1.57341 | − | 0.964188i | ||||
\(117\) | −2.05412 | + | 4.03144i | −0.189904 | + | 0.372707i | ||||
\(118\) | −0.170905 | + | 0.525993i | −0.0157331 | + | 0.0484216i | ||||
\(119\) | −0.184534 | − | 13.2043i | −0.0169162 | − | 1.21043i | ||||
\(120\) | 9.31802 | 0.850615 | ||||||||
\(121\) | 0.419733 | + | 10.9920i | 0.0381576 | + | 0.999272i | ||||
\(122\) | −3.55284 | − | 8.57732i | −0.321659 | − | 0.776554i | ||||
\(123\) | −3.14973 | + | 4.33524i | −0.284002 | + | 0.390895i | ||||
\(124\) | 0.305815 | + | 3.88575i | 0.0274630 | + | 0.348950i | ||||
\(125\) | −12.1181 | − | 0.953716i | −1.08388 | − | 0.0853029i | ||||
\(126\) | −19.5912 | + | 4.70342i | −1.74532 | + | 0.419014i | ||||
\(127\) | −2.91049 | + | 18.3761i | −0.258264 | + | 1.63062i | 0.428364 | + | 0.903606i | \(0.359090\pi\) |
−0.686628 | + | 0.727009i | \(0.740910\pi\) | |||||||
\(128\) | −4.56677 | − | 2.32689i | −0.403649 | − | 0.205670i | ||||
\(129\) | 5.28900 | − | 6.19262i | 0.465671 | − | 0.545230i | ||||
\(130\) | 7.27333 | − | 4.45711i | 0.637914 | − | 0.390914i | ||||
\(131\) | −7.88386 | + | 3.26560i | −0.688816 | + | 0.285317i | −0.699507 | − | 0.714626i | \(-0.746597\pi\) |
0.0106910 | + | 0.999943i | \(0.496597\pi\) | |||||||
\(132\) | −10.9353 | − | 4.28694i | −0.951793 | − | 0.373130i | ||||
\(133\) | −7.61179 | − | 18.3765i | −0.660026 | − | 1.59344i | ||||
\(134\) | 1.16726 | + | 7.36978i | 0.100836 | + | 0.636652i | ||||
\(135\) | −2.24227 | + | 6.90099i | −0.192984 | + | 0.593943i | ||||
\(136\) | −15.3663 | − | 24.3065i | −1.31765 | − | 2.08426i | ||||
\(137\) | 4.02094 | − | 2.92138i | 0.343532 | − | 0.249591i | −0.402618 | − | 0.915368i | \(-0.631900\pi\) |
0.746151 | + | 0.665777i | \(0.231900\pi\) | |||||||
\(138\) | 9.96732 | + | 1.57867i | 0.848475 | + | 0.134385i | ||||
\(139\) | −6.81833 | + | 5.82341i | −0.578323 | + | 0.493935i | −0.889820 | − | 0.456313i | \(-0.849170\pi\) |
0.311496 | + | 0.950247i | \(0.399170\pi\) | |||||||
\(140\) | 25.3349 | + | 8.23181i | 2.14119 | + | 0.695715i | ||||
\(141\) | 7.29318 | + | 1.75094i | 0.614197 | + | 0.147456i | ||||
\(142\) | 8.92728 | − | 21.5524i | 0.749161 | − | 1.80863i | ||||
\(143\) | −6.07705 | + | 1.08177i | −0.508189 | + | 0.0904618i | ||||
\(144\) | −14.8801 | + | 14.8801i | −1.24001 | + | 1.24001i | ||||
\(145\) | −7.40565 | + | 1.17294i | −0.615006 | + | 0.0974073i | ||||
\(146\) | −17.6410 | + | 20.6549i | −1.45998 | + | 1.70942i | ||||
\(147\) | 2.44975 | + | 0.192799i | 0.202052 | + | 0.0159018i | ||||
\(148\) | 11.6723 | − | 19.0475i | 0.959461 | − | 1.56570i | ||||
\(149\) | 1.83322 | + | 2.52322i | 0.150184 | + | 0.206710i | 0.877480 | − | 0.479614i | \(-0.159223\pi\) |
−0.727296 | + | 0.686324i | \(0.759223\pi\) | |||||||
\(150\) | −2.76361 | + | 2.36035i | −0.225648 | + | 0.192721i | ||||
\(151\) | −4.95563 | + | 2.52502i | −0.403284 | + | 0.205483i | −0.643854 | − | 0.765148i | \(-0.722666\pi\) |
0.240570 | + | 0.970632i | \(0.422666\pi\) | |||||||
\(152\) | −35.0414 | − | 25.4591i | −2.84223 | − | 2.06500i | ||||
\(153\) | 9.71321 | − | 2.47599i | 0.785266 | − | 0.200172i | ||||
\(154\) | −21.2376 | − | 17.4488i | −1.71137 | − | 1.40607i | ||||
\(155\) | 1.03977 | + | 1.03977i | 0.0835165 | + | 0.0835165i | ||||
\(156\) | 1.53863 | − | 6.40884i | 0.123189 | − | 0.513118i | ||||
\(157\) | −14.7121 | − | 4.78026i | −1.17416 | − | 0.381506i | −0.343963 | − | 0.938983i | \(-0.611770\pi\) |
−0.830193 | + | 0.557477i | \(0.811770\pi\) | |||||||
\(158\) | 5.29856 | + | 6.20381i | 0.421530 | + | 0.493549i | ||||
\(159\) | −0.533178 | − | 2.22085i | −0.0422838 | − | 0.176125i | ||||
\(160\) | 14.5521 | − | 3.49366i | 1.15045 | − | 0.276198i | ||||
\(161\) | 14.7563 | + | 7.51873i | 1.16296 | + | 0.592559i | ||||
\(162\) | −4.93830 | − | 9.69195i | −0.387989 | − | 0.761472i | ||||
\(163\) | 4.45078 | + | 7.26301i | 0.348612 | + | 0.568883i | 0.978102 | − | 0.208126i | \(-0.0667363\pi\) |
−0.629490 | + | 0.777008i | \(0.716736\pi\) | |||||||
\(164\) | −12.7662 | + | 30.8203i | −0.996871 | + | 2.40666i | ||||
\(165\) | −4.18732 | + | 1.44945i | −0.325983 | + | 0.112840i | ||||
\(166\) | 29.9927i | 2.32789i | ||||||||
\(167\) | −2.40641 | + | 10.0234i | −0.186214 | + | 0.775636i | 0.798577 | + | 0.601892i | \(0.205586\pi\) |
−0.984791 | + | 0.173744i | \(0.944414\pi\) | |||||||
\(168\) | 15.0116 | − | 7.64880i | 1.15817 | − | 0.590118i | ||||
\(169\) | 2.94688 | + | 9.06955i | 0.226683 | + | 0.697658i | ||||
\(170\) | −18.0532 | − | 5.58815i | −1.38461 | − | 0.428592i | ||||
\(171\) | 12.2147 | − | 8.87447i | 0.934078 | − | 0.678647i | ||||
\(172\) | 23.0166 | − | 45.1727i | 1.75500 | − | 3.44439i | ||||
\(173\) | −9.82949 | + | 0.773597i | −0.747322 | + | 0.0588155i | −0.446400 | − | 0.894833i | \(-0.647294\pi\) |
−0.300922 | + | 0.953649i | \(0.597294\pi\) | |||||||
\(174\) | −4.85563 | + | 6.68321i | −0.368105 | + | 0.506653i | ||||
\(175\) | −5.51043 | + | 2.28250i | −0.416549 | + | 0.172540i | ||||
\(176\) | −28.4354 | − | 3.94908i | −2.14340 | − | 0.297673i | ||||
\(177\) | 0.148938 | + | 0.0616923i | 0.0111949 | + | 0.00463707i | ||||
\(178\) | 22.3520 | − | 3.54021i | 1.67535 | − | 0.265350i | ||||
\(179\) | −9.00176 | − | 17.6670i | −0.672823 | − | 1.32049i | −0.934717 | − | 0.355394i | \(-0.884347\pi\) |
0.261893 | − | 0.965097i | \(-0.415653\pi\) | |||||||
\(180\) | −1.58647 | + | 20.1580i | −0.118249 | + | 1.50249i | ||||
\(181\) | 0.943544 | + | 3.93014i | 0.0701331 | + | 0.292125i | 0.996404 | − | 0.0847340i | \(-0.0270040\pi\) |
−0.926271 | + | 0.376859i | \(0.877004\pi\) | |||||||
\(182\) | 8.05890 | − | 13.1509i | 0.597366 | − | 0.974812i | ||||
\(183\) | −2.57371 | + | 0.836251i | −0.190254 | + | 0.0618174i | ||||
\(184\) | 35.9529 | − | 2.82955i | 2.65048 | − | 0.208597i | ||||
\(185\) | −1.31839 | − | 8.32397i | −0.0969298 | − | 0.611991i | ||||
\(186\) | 1.62008 | 0.118790 | ||||||||
\(187\) | 10.6862 | + | 8.53253i | 0.781456 | + | 0.623960i | ||||
\(188\) | 46.6930 | 3.40544 | ||||||||
\(189\) | 2.05239 | + | 12.9583i | 0.149290 | + | 0.942578i | ||||
\(190\) | −28.3773 | + | 2.23334i | −2.05871 | + | 0.162024i | ||||
\(191\) | 11.1709 | − | 3.62963i | 0.808296 | − | 0.262631i | 0.124420 | − | 0.992230i | \(-0.460293\pi\) |
0.683876 | + | 0.729599i | \(0.260293\pi\) | |||||||
\(192\) | 1.79286 | − | 2.92569i | 0.129389 | − | 0.211143i | ||||
\(193\) | 6.10878 | + | 25.4449i | 0.439719 | + | 1.83156i | 0.546736 | + | 0.837305i | \(0.315870\pi\) |
−0.107016 | + | 0.994257i | \(0.534130\pi\) | |||||||
\(194\) | 2.80471 | − | 35.6373i | 0.201367 | − | 2.55861i | ||||
\(195\) | −1.12884 | − | 2.21547i | −0.0808379 | − | 0.158653i | ||||
\(196\) | 15.1094 | − | 2.39310i | 1.07924 | − | 0.170936i | ||||
\(197\) | −21.2890 | − | 8.81818i | −1.51678 | − | 0.628270i | −0.539834 | − | 0.841771i | \(-0.681513\pi\) |
−0.976943 | + | 0.213502i | \(0.931513\pi\) | |||||||
\(198\) | 9.11550 | − | 18.7671i | 0.647810 | − | 1.33372i | ||||
\(199\) | 0.0921382 | − | 0.0381649i | 0.00653150 | − | 0.00270544i | −0.379415 | − | 0.925226i | \(-0.623875\pi\) |
0.385947 | + | 0.922521i | \(0.373875\pi\) | |||||||
\(200\) | −7.63424 | + | 10.5076i | −0.539822 | + | 0.743002i | ||||
\(201\) | 2.16826 | − | 0.170646i | 0.152937 | − | 0.0120364i | ||||
\(202\) | 9.71142 | − | 19.0597i | 0.683293 | − | 1.34104i | ||||
\(203\) | −10.9679 | + | 7.96865i | −0.769796 | + | 0.559290i | ||||
\(204\) | −12.9162 | + | 6.81016i | −0.904318 | + | 0.476806i | ||||
\(205\) | 3.88903 | + | 11.9692i | 0.271622 | + | 0.835966i | ||||
\(206\) | −31.1146 | + | 15.8537i | −2.16786 | + | 1.10458i | ||||
\(207\) | −2.93467 | + | 12.2238i | −0.203974 | + | 0.849611i | ||||
\(208\) | − | 16.1095i | − | 1.11699i | ||||||
\(209\) | 19.7071 | + | 5.98996i | 1.36317 | + | 0.414334i | ||||
\(210\) | 4.23716 | − | 10.2294i | 0.292391 | − | 0.705895i | ||||
\(211\) | −5.10223 | − | 8.32608i | −0.351252 | − | 0.573191i | 0.627405 | − | 0.778693i | \(-0.284117\pi\) |
−0.978657 | + | 0.205502i | \(0.934117\pi\) | |||||||
\(212\) | −6.45506 | − | 12.6688i | −0.443335 | − | 0.870094i | ||||
\(213\) | −6.05868 | − | 3.08705i | −0.415134 | − | 0.211521i | ||||
\(214\) | −24.2941 | + | 5.83250i | −1.66071 | + | 0.398702i | ||||
\(215\) | −4.46497 | − | 18.5979i | −0.304508 | − | 1.26837i | ||||
\(216\) | 18.5545 | + | 21.7245i | 1.26247 | + | 1.47817i | ||||
\(217\) | 2.52861 | + | 0.821597i | 0.171654 | + | 0.0557736i | ||||
\(218\) | 1.82095 | − | 7.58480i | 0.123330 | − | 0.513707i | ||||
\(219\) | 5.59862 | + | 5.59862i | 0.378320 | + | 0.378320i | ||||
\(220\) | −23.2410 | + | 14.8595i | −1.56691 | + | 1.00182i | ||||
\(221\) | −3.91759 | + | 6.59815i | −0.263526 | + | 0.443839i | ||||
\(222\) | −7.51195 | − | 5.45775i | −0.504169 | − | 0.366300i | ||||
\(223\) | 16.9027 | − | 8.61238i | 1.13189 | − | 0.576727i | 0.215298 | − | 0.976548i | \(-0.430928\pi\) |
0.916593 | + | 0.399821i | \(0.130928\pi\) | |||||||
\(224\) | 20.5761 | − | 17.5737i | 1.37480 | − | 1.17419i | ||||
\(225\) | −2.66113 | − | 3.66272i | −0.177408 | − | 0.244182i | ||||
\(226\) | 24.8364 | − | 40.5293i | 1.65209 | − | 2.69597i | ||||
\(227\) | 6.85428 | + | 0.539444i | 0.454935 | + | 0.0358042i | 0.303857 | − | 0.952718i | \(-0.401726\pi\) |
0.151078 | + | 0.988522i | \(0.451726\pi\) | |||||||
\(228\) | −14.2836 | + | 16.7239i | −0.945951 | + | 1.10757i | ||||
\(229\) | 13.8695 | − | 2.19672i | 0.916524 | − | 0.145163i | 0.319685 | − | 0.947524i | \(-0.396423\pi\) |
0.596839 | + | 0.802361i | \(0.296423\pi\) | |||||||
\(230\) | 16.7590 | − | 16.7590i | 1.10505 | − | 1.10505i | ||||
\(231\) | −5.55611 | + | 5.77232i | −0.365565 | + | 0.379791i | ||||
\(232\) | −11.2975 | + | 27.2746i | −0.741718 | + | 1.79067i | ||||
\(233\) | −22.1248 | − | 5.31169i | −1.44944 | − | 0.347981i | −0.569081 | − | 0.822282i | \(-0.692701\pi\) |
−0.880363 | + | 0.474301i | \(0.842701\pi\) | |||||||
\(234\) | 11.1346 | + | 3.61784i | 0.727890 | + | 0.236506i | ||||
\(235\) | 13.3948 | − | 11.4402i | 0.873777 | − | 0.746276i | ||||
\(236\) | 0.991236 | + | 0.156996i | 0.0645239 | + | 0.0102196i | ||||
\(237\) | 1.92393 | − | 1.39781i | 0.124972 | − | 0.0907978i | ||||
\(238\) | −33.6713 | + | 5.81645i | −2.18259 | + | 0.377024i | ||||
\(239\) | 7.57840 | − | 23.3239i | 0.490206 | − | 1.50870i | −0.334091 | − | 0.942541i | \(-0.608429\pi\) |
0.824297 | − | 0.566158i | \(-0.191571\pi\) | |||||||
\(240\) | −1.80908 | − | 11.4221i | −0.116776 | − | 0.737294i | ||||
\(241\) | −0.0805740 | − | 0.194523i | −0.00519023 | − | 0.0125303i | 0.921263 | − | 0.388940i | \(-0.127159\pi\) |
−0.926453 | + | 0.376409i | \(0.877159\pi\) | |||||||
\(242\) | 27.9222 | − | 5.52206i | 1.79491 | − | 0.354971i | ||||
\(243\) | −14.2829 | + | 5.91616i | −0.916246 | + | 0.379522i | ||||
\(244\) | −14.3643 | + | 8.80248i | −0.919583 | + | 0.563521i | ||||
\(245\) | 3.74809 | − | 4.38845i | 0.239457 | − | 0.280368i | ||||
\(246\) | 12.3545 | + | 6.29492i | 0.787692 | + | 0.401349i | ||||
\(247\) | −1.80808 | + | 11.4158i | −0.115045 | + | 0.726369i | ||||
\(248\) | 5.62969 | − | 1.35157i | 0.357486 | − | 0.0858247i | ||||
\(249\) | 8.71551 | + | 0.685926i | 0.552323 | + | 0.0434688i | ||||
\(250\) | 2.46778 | + | 31.3561i | 0.156076 | + | 1.98314i | ||||
\(251\) | −3.57688 | + | 4.92315i | −0.225770 | + | 0.310746i | −0.906842 | − | 0.421470i | \(-0.861514\pi\) |
0.681072 | + | 0.732217i | \(0.261514\pi\) | |||||||
\(252\) | 13.9911 | + | 33.7775i | 0.881357 | + | 2.12778i | ||||
\(253\) | −15.7163 | + | 6.86414i | −0.988077 | + | 0.431545i | ||||
\(254\) | 48.1417 | 3.02068 | ||||||||
\(255\) | −2.03672 | + | 5.11822i | −0.127544 | + | 0.320515i | ||||
\(256\) | −6.90995 | + | 21.2667i | −0.431872 | + | 1.32917i | ||||
\(257\) | −1.62554 | + | 3.19030i | −0.101398 | + | 0.199005i | −0.936132 | − | 0.351648i | \(-0.885621\pi\) |
0.834734 | + | 0.550653i | \(0.185621\pi\) | |||||||
\(258\) | −17.9673 | − | 11.0104i | −1.11860 | − | 0.685476i | ||||
\(259\) | −8.95679 | − | 12.3280i | −0.556548 | − | 0.766022i | ||||
\(260\) | −10.0530 | − | 11.7706i | −0.623461 | − | 0.729979i | ||||
\(261\) | −7.82507 | − | 6.68324i | −0.484360 | − | 0.413682i | ||||
\(262\) | 11.5371 | + | 18.8268i | 0.712764 | + | 1.16312i | ||||
\(263\) | −10.5219 | + | 10.5219i | −0.648809 | + | 0.648809i | −0.952705 | − | 0.303896i | \(-0.901712\pi\) |
0.303896 | + | 0.952705i | \(0.401712\pi\) | |||||||
\(264\) | −3.74837 | + | 17.0392i | −0.230696 | + | 1.04869i | ||||
\(265\) | −4.95571 | − | 2.05272i | −0.304427 | − | 0.126098i | ||||
\(266\) | −43.8834 | + | 26.8918i | −2.69067 | + | 1.64884i | ||||
\(267\) | −0.517556 | − | 6.57617i | −0.0316739 | − | 0.402455i | ||||
\(268\) | 12.8773 | − | 4.18409i | 0.786606 | − | 0.255584i | ||||
\(269\) | −2.24699 | − | 1.37696i | −0.137002 | − | 0.0839547i | 0.452309 | − | 0.891861i | \(-0.350600\pi\) |
−0.589310 | + | 0.807907i | \(0.700600\pi\) | |||||||
\(270\) | 18.5444 | + | 2.93714i | 1.12858 | + | 0.178749i | ||||
\(271\) | 7.67442 | + | 23.6194i | 0.466188 | + | 1.43478i | 0.857482 | + | 0.514514i | \(0.172028\pi\) |
−0.391294 | + | 0.920266i | \(0.627972\pi\) | |||||||
\(272\) | −26.8117 | + | 23.5552i | −1.62570 | + | 1.42824i | ||||
\(273\) | −3.63719 | − | 2.64257i | −0.220133 | − | 0.159936i | ||||
\(274\) | −9.09375 | − | 9.09375i | −0.549373 | − | 0.549373i | ||||
\(275\) | 1.79617 | − | 5.90944i | 0.108313 | − | 0.356353i | ||||
\(276\) | − | 18.3123i | − | 1.10227i | ||||||
\(277\) | 9.14409 | + | 2.19530i | 0.549415 | + | 0.131903i | 0.498643 | − | 0.866807i | \(-0.333832\pi\) |
0.0507720 | + | 0.998710i | \(0.483832\pi\) | |||||||
\(278\) | 17.6427 | + | 15.0683i | 1.05814 | + | 0.903738i | ||||
\(279\) | −0.158342 | + | 2.01193i | −0.00947968 | + | 0.120451i | ||||
\(280\) | 6.18989 | − | 39.0814i | 0.369917 | − | 2.33556i | ||||
\(281\) | 0.554708 | − | 3.50229i | 0.0330911 | − | 0.208929i | −0.965603 | − | 0.260021i | \(-0.916270\pi\) |
0.998694 | + | 0.0510926i | \(0.0162704\pi\) | |||||||
\(282\) | 1.52271 | − | 19.3478i | 0.0906760 | − | 1.15215i | ||||
\(283\) | −1.39613 | − | 1.19240i | −0.0829911 | − | 0.0708811i | 0.606985 | − | 0.794713i | \(-0.292379\pi\) |
−0.689976 | + | 0.723832i | \(0.742379\pi\) | |||||||
\(284\) | −41.1618 | − | 9.88208i | −2.44251 | − | 0.586394i | ||||
\(285\) | 8.29716i | 0.491481i | ||||||||
\(286\) | 5.22453 | + | 15.0932i | 0.308933 | + | 0.892478i | ||||
\(287\) | 16.0904 | + | 16.0904i | 0.949787 | + | 0.949787i | ||||
\(288\) | 16.6170 | + | 12.0730i | 0.979166 | + | 0.711406i | ||||
\(289\) | 16.7098 | − | 3.12757i | 0.982931 | − | 0.183974i | ||||
\(290\) | 5.99533 | + | 18.4517i | 0.352058 | + | 1.08352i | ||||
\(291\) | −10.2916 | − | 1.63003i | −0.603304 | − | 0.0955539i | ||||
\(292\) | 42.0269 | + | 25.7541i | 2.45944 | + | 1.50715i | ||||
\(293\) | −18.6897 | + | 6.07266i | −1.09187 | + | 0.354769i | −0.798967 | − | 0.601375i | \(-0.794620\pi\) |
−0.292899 | + | 0.956143i | \(0.594620\pi\) | |||||||
\(294\) | −0.498877 | − | 6.33883i | −0.0290951 | − | 0.369688i | ||||
\(295\) | 0.322820 | − | 0.197824i | 0.0187953 | − | 0.0115178i | ||||
\(296\) | −30.6567 | − | 12.6984i | −1.78189 | − | 0.738082i | ||||
\(297\) | −11.7173 | − | 6.87633i | −0.679909 | − | 0.399005i | ||||
\(298\) | 5.70650 | − | 5.70650i | 0.330568 | − | 0.330568i | ||||
\(299\) | −5.02830 | − | 8.20544i | −0.290794 | − | 0.474533i | ||||
\(300\) | 5.01488 | + | 4.28311i | 0.289534 | + | 0.247286i | ||||
\(301\) | −22.4595 | − | 26.2967i | −1.29455 | − | 1.51572i | ||||
\(302\) | 8.45911 | + | 11.6430i | 0.486767 | + | 0.669978i | ||||
\(303\) | −5.31642 | − | 3.25791i | −0.305421 | − | 0.187162i | ||||
\(304\) | −24.4047 | + | 47.8969i | −1.39971 | + | 2.74708i | ||||
\(305\) | −1.96399 | + | 6.04455i | −0.112458 | + | 0.346110i | ||||
\(306\) | −10.2596 | − | 23.8217i | −0.586501 | − | 1.36180i | ||||
\(307\) | −20.1998 | −1.15286 | −0.576431 | − | 0.817146i | \(-0.695555\pi\) | ||||
−0.576431 | + | 0.817146i | \(0.695555\pi\) | |||||||
\(308\) | −25.2444 | + | 43.0167i | −1.43843 | + | 2.45110i | ||||
\(309\) | 3.89530 | + | 9.40409i | 0.221596 | + | 0.534980i | ||||
\(310\) | 2.23645 | − | 3.07821i | 0.127022 | − | 0.174831i | ||||
\(311\) | 0.727945 | + | 9.24942i | 0.0412780 | + | 0.524486i | 0.982446 | + | 0.186547i | \(0.0597298\pi\) |
−0.941168 | + | 0.337939i | \(0.890270\pi\) | |||||||
\(312\) | −9.75988 | − | 0.768119i | −0.552544 | − | 0.0434862i | ||||
\(313\) | 13.6653 | − | 3.28075i | 0.772410 | − | 0.185439i | 0.171962 | − | 0.985104i | \(-0.444989\pi\) |
0.600447 | + | 0.799664i | \(0.294989\pi\) | |||||||
\(314\) | −6.26166 | + | 39.5346i | −0.353366 | + | 2.23106i | ||||
\(315\) | 12.2894 | + | 6.26177i | 0.692430 | + | 0.352811i | ||||
\(316\) | 9.61482 | − | 11.2575i | 0.540876 | − | 0.633284i | ||||
\(317\) | 0.976409 | − | 0.598344i | 0.0548406 | − | 0.0336064i | −0.494808 | − | 0.869002i | \(-0.664762\pi\) |
0.549649 | + | 0.835396i | \(0.314762\pi\) | |||||||
\(318\) | −5.45997 | + | 2.26159i | −0.306180 | + | 0.126824i | ||||
\(319\) | 0.834205 | − | 14.0140i | 0.0467065 | − | 0.784634i | ||||
\(320\) | −3.08394 | − | 7.44529i | −0.172397 | − | 0.416204i | ||||
\(321\) | 1.13925 | + | 7.19295i | 0.0635868 | + | 0.401471i | ||||
\(322\) | 13.2424 | − | 40.7560i | 0.737972 | − | 2.27124i | ||||
\(323\) | 21.6435 | − | 13.6828i | 1.20428 | − | 0.761332i | ||||
\(324\) | −15.9688 | + | 11.6020i | −0.887154 | + | 0.644555i | ||||
\(325\) | 3.42317 | + | 0.542177i | 0.189883 | + | 0.0300746i | ||||
\(326\) | 16.7604 | − | 14.3147i | 0.928272 | − | 0.792819i | ||||
\(327\) | −2.16240 | − | 0.702607i | −0.119581 | − | 0.0388543i | ||||
\(328\) | 48.1826 | + | 11.5676i | 2.66044 | + | 0.638715i | ||||
\(329\) | 12.1885 | − | 29.4258i | 0.671976 | − | 1.62229i | ||||
\(330\) | 5.39929 | + | 10.1148i | 0.297221 | + | 0.556800i | ||||
\(331\) | 17.5647 | − | 17.5647i | 0.965442 | − | 0.965442i | −0.0339803 | − | 0.999423i | \(-0.510818\pi\) |
0.999423 | + | 0.0339803i | \(0.0108183\pi\) | |||||||
\(332\) | 53.7551 | − | 8.51397i | 2.95019 | − | 0.467265i | ||||
\(333\) | 7.51198 | − | 8.79540i | 0.411654 | − | 0.481985i | ||||
\(334\) | 26.5908 | + | 2.09274i | 1.45498 | + | 0.114510i | ||||
\(335\) | 2.66895 | − | 4.35534i | 0.145821 | − | 0.237958i | ||||
\(336\) | −12.2905 | − | 16.9164i | −0.670500 | − | 0.922863i | ||||
\(337\) | 8.84016 | − | 7.55021i | 0.481554 | − | 0.411286i | −0.375253 | − | 0.926922i | \(-0.622444\pi\) |
0.856808 | + | 0.515636i | \(0.172444\pi\) | |||||||
\(338\) | 21.9861 | − | 11.2025i | 1.19589 | − | 0.609334i | ||||
\(339\) | −11.2093 | − | 8.14402i | −0.608805 | − | 0.442323i | ||||
\(340\) | −4.89077 | + | 33.9424i | −0.265239 | + | 1.84079i | ||||
\(341\) | −2.31962 | + | 1.48309i | −0.125615 | + | 0.0803136i | ||||
\(342\) | −27.6246 | − | 27.6246i | −1.49377 | − | 1.49377i | ||||
\(343\) | −2.79780 | + | 11.6537i | −0.151067 | + | 0.629239i | ||||
\(344\) | −71.6208 | − | 23.2710i | −3.86154 | − | 1.25469i | ||||
\(345\) | −4.48667 | − | 5.25322i | −0.241554 | − | 0.282824i | ||||
\(346\) | 5.95586 | + | 24.8080i | 0.320189 | + | 1.33368i | ||||
\(347\) | 16.1572 | − | 3.87901i | 0.867366 | − | 0.208236i | 0.224742 | − | 0.974418i | \(-0.427846\pi\) |
0.642623 | + | 0.766182i | \(0.277846\pi\) | |||||||
\(348\) | 13.3565 | + | 6.80546i | 0.715982 | + | 0.364811i | ||||
\(349\) | −9.95790 | − | 19.5435i | −0.533034 | − | 1.04614i | −0.987829 | − | 0.155542i | \(-0.950288\pi\) |
0.454795 | − | 0.890596i | \(-0.349712\pi\) | |||||||
\(350\) | 8.06386 | + | 13.1590i | 0.431032 | + | 0.703380i | ||||
\(351\) | 2.91747 | − | 7.04339i | 0.155723 | − | 0.375949i | ||||
\(352\) | 0.534703 | + | 28.0158i | 0.0284998 | + | 1.49325i | ||||
\(353\) | − | 22.7997i | − | 1.21350i | −0.794892 | − | 0.606752i | \(-0.792472\pi\) | ||
0.794892 | − | 0.606752i | \(-0.207528\pi\) | |||||||
\(354\) | 0.0973787 | − | 0.405612i | 0.00517562 | − | 0.0215580i | ||||
\(355\) | −14.2292 | + | 7.25016i | −0.755210 | + | 0.384799i | ||||
\(356\) | −12.6900 | − | 39.0559i | −0.672570 | − | 2.06996i | ||||
\(357\) | 0.920134 | + | 9.91747i | 0.0486986 | + | 0.524888i | ||||
\(358\) | −41.5075 | + | 30.1570i | −2.19374 | + | 1.59384i | ||||
\(359\) | −10.4233 | + | 20.4568i | −0.550119 | + | 1.07967i | 0.433793 | + | 0.901013i | \(0.357175\pi\) |
−0.983912 | + | 0.178656i | \(0.942825\pi\) | |||||||
\(360\) | 29.9424 | − | 2.35652i | 1.57810 | − | 0.124199i | ||||
\(361\) | 11.5019 | − | 15.8310i | 0.605364 | − | 0.833212i | ||||
\(362\) | 9.66229 | − | 4.00225i | 0.507839 | − | 0.210354i | ||||
\(363\) | −0.966067 | − | 8.24012i | −0.0507054 | − | 0.432494i | ||||
\(364\) | −25.8577 | − | 10.7106i | −1.35531 | − | 0.561388i | ||||
\(365\) | 18.3662 | − | 2.90892i | 0.961332 | − | 0.152260i | ||||
\(366\) | 3.17899 | + | 6.23911i | 0.166168 | + | 0.326124i | ||||
\(367\) | −0.542389 | + | 6.89171i | −0.0283125 | + | 0.359744i | 0.966400 | + | 0.257044i | \(0.0827484\pi\) |
−0.994712 | + | 0.102701i | \(0.967252\pi\) | |||||||
\(368\) | −10.4487 | − | 43.5220i | −0.544676 | − | 2.26874i | ||||
\(369\) | −9.02493 | + | 14.7273i | −0.469819 | + | 0.766675i | ||||
\(370\) | −20.7398 | + | 6.73877i | −1.07821 | + | 0.350332i | ||||
\(371\) | −9.66881 | + | 0.760952i | −0.501980 | + | 0.0395067i | ||||
\(372\) | −0.459889 | − | 2.90363i | −0.0238442 | − | 0.150546i | ||||
\(373\) | 12.0003 | 0.621355 | 0.310677 | − | 0.950515i | \(-0.399444\pi\) | ||||
0.310677 | + | 0.950515i | \(0.399444\pi\) | |||||||
\(374\) | 17.4809 | − | 30.7645i | 0.903915 | − | 1.59080i | ||||
\(375\) | 9.16814 | 0.473441 | ||||||||
\(376\) | −10.8498 | − | 68.5029i | −0.559536 | − | 3.53277i | ||||
\(377\) | 7.85351 | − | 0.618085i | 0.404476 | − | 0.0318330i | ||||
\(378\) | 32.2866 | − | 10.4906i | 1.66064 | − | 0.539576i | ||||
\(379\) | 6.50112 | − | 10.6089i | 0.333940 | − | 0.544941i | −0.640962 | − | 0.767572i | \(-0.721465\pi\) |
0.974903 | + | 0.222631i | \(0.0714646\pi\) | |||||||
\(380\) | 12.0582 | + | 50.2258i | 0.618570 | + | 2.57653i | ||||
\(381\) | 1.10099 | − | 13.9894i | 0.0564053 | − | 0.716697i | ||||
\(382\) | −13.7980 | − | 27.0800i | −0.705966 | − | 1.38554i | ||||
\(383\) | −27.4045 | + | 4.34045i | −1.40031 | + | 0.221787i | −0.810491 | − | 0.585752i | \(-0.800799\pi\) |
−0.589815 | + | 0.807538i | \(0.700799\pi\) | |||||||
\(384\) | 3.57149 | + | 1.47936i | 0.182257 | + | 0.0754932i | ||||
\(385\) | 3.29765 | + | 18.5252i | 0.168064 | + | 0.944133i | ||||
\(386\) | 62.5565 | − | 25.9117i | 3.18404 | − | 1.31887i | ||||
\(387\) | 15.4295 | − | 21.2369i | 0.784324 | − | 1.07953i | ||||
\(388\) | −64.6678 | + | 5.08946i | −3.28301 | + | 0.258378i | ||||
\(389\) | −3.41913 | + | 6.71042i | −0.173357 | + | 0.340232i | −0.961294 | − | 0.275523i | \(-0.911149\pi\) |
0.787938 | + | 0.615755i | \(0.211149\pi\) | |||||||
\(390\) | −5.20512 | + | 3.78174i | −0.263572 | + | 0.191496i | ||||
\(391\) | −6.30429 | + | 20.3667i | −0.318822 | + | 1.02999i | ||||
\(392\) | −7.02179 | − | 21.6109i | −0.354654 | − | 1.09151i | ||||
\(393\) | 5.73469 | − | 2.92197i | 0.289277 | − | 0.147394i | ||||
\(394\) | −13.9191 | + | 57.9774i | −0.701236 | + | 2.92086i | ||||
\(395\) | − | 5.58514i | − | 0.281019i | ||||||
\(396\) | −36.2234 | − | 11.0101i | −1.82029 | − | 0.553276i | ||||
\(397\) | −2.57674 | + | 6.22080i | −0.129323 | + | 0.312213i | −0.975257 | − | 0.221074i | \(-0.929044\pi\) |
0.845934 | + | 0.533288i | \(0.179044\pi\) | |||||||
\(398\) | −0.134833 | − | 0.220028i | −0.00675859 | − | 0.0110290i | ||||
\(399\) | 6.81082 | + | 13.3670i | 0.340967 | + | 0.669186i | ||||
\(400\) | 14.3625 | + | 7.31807i | 0.718126 | + | 0.365903i | ||||
\(401\) | 15.0077 | − | 3.60302i | 0.749448 | − | 0.179926i | 0.159309 | − | 0.987229i | \(-0.449073\pi\) |
0.590138 | + | 0.807302i | \(0.299073\pi\) | |||||||
\(402\) | −1.31379 | − | 5.47232i | −0.0655258 | − | 0.272935i | ||||
\(403\) | −1.00337 | − | 1.17479i | −0.0499812 | − | 0.0585205i | ||||
\(404\) | −36.9170 | − | 11.9951i | −1.83669 | − | 0.596776i | ||||
\(405\) | −1.73835 | + | 7.24075i | −0.0863793 | + | 0.359796i | ||||
\(406\) | 24.8050 | + | 24.8050i | 1.23105 | + | 1.23105i | ||||
\(407\) | 15.7518 | + | 0.937650i | 0.780787 | + | 0.0464776i | ||||
\(408\) | 12.9924 | + | 17.3669i | 0.643220 | + | 0.859789i | ||||
\(409\) | −2.70999 | − | 1.96892i | −0.134000 | − | 0.0973570i | 0.518766 | − | 0.854916i | \(-0.326392\pi\) |
−0.652766 | + | 0.757559i | \(0.726392\pi\) | |||||||
\(410\) | 29.0153 | − | 14.7841i | 1.43297 | − | 0.730133i | ||||
\(411\) | −2.85050 | + | 2.43456i | −0.140605 | + | 0.120088i | ||||
\(412\) | 37.2466 | + | 51.2655i | 1.83501 | + | 2.52567i | ||||
\(413\) | 0.357687 | − | 0.583692i | 0.0176006 | − | 0.0287216i | ||||
\(414\) | 32.4281 | + | 2.55214i | 1.59375 | + | 0.125431i | ||||
\(415\) | 13.3347 | − | 15.6129i | 0.654573 | − | 0.766406i | ||||
\(416\) | −15.5302 | + | 2.45974i | −0.761431 | + | 0.120599i | ||||
\(417\) | 4.78215 | − | 4.78215i | 0.234183 | − | 0.234183i | ||||
\(418\) | 7.33140 | − | 52.7899i | 0.358591 | − | 2.58204i | ||||
\(419\) | −7.94221 | + | 19.1742i | −0.388002 | + | 0.936720i | 0.602361 | + | 0.798224i | \(0.294227\pi\) |
−0.990363 | + | 0.138496i | \(0.955773\pi\) | |||||||
\(420\) | −19.5366 | − | 4.69033i | −0.953290 | − | 0.228865i | ||||
\(421\) | −14.2405 | − | 4.62703i | −0.694041 | − | 0.225508i | −0.0593086 | − | 0.998240i | \(-0.518890\pi\) |
−0.634732 | + | 0.772732i | \(0.718890\pi\) | |||||||
\(422\) | −19.2136 | + | 16.4100i | −0.935303 | + | 0.798824i | ||||
\(423\) | 23.8786 | + | 3.78200i | 1.16102 | + | 0.183887i | ||||
\(424\) | −17.0863 | + | 12.4139i | −0.829785 | + | 0.602874i | ||||
\(425\) | −4.10297 | − | 6.49009i | −0.199023 | − | 0.314815i | ||||
\(426\) | −5.43710 | + | 16.7337i | −0.263428 | + | 0.810749i | ||||
\(427\) | 1.79768 | + | 11.3501i | 0.0869960 | + | 0.549271i | ||||
\(428\) | 17.3497 | + | 41.8860i | 0.838631 | + | 2.02463i | ||||
\(429\) | 4.50537 | − | 1.17301i | 0.217521 | − | 0.0566333i | ||||
\(430\) | −45.7232 | + | 18.9392i | −2.20497 | + | 0.913327i | ||||
\(431\) | 7.21702 | − | 4.42260i | 0.347632 | − | 0.213029i | −0.337711 | − | 0.941250i | \(-0.609653\pi\) |
0.685342 | + | 0.728221i | \(0.259653\pi\) | |||||||
\(432\) | 23.0278 | − | 26.9621i | 1.10792 | − | 1.29721i | ||||
\(433\) | −21.8081 | − | 11.1118i | −1.04803 | − | 0.533997i | −0.156837 | − | 0.987625i | \(-0.550130\pi\) |
−0.891191 | + | 0.453628i | \(0.850130\pi\) | |||||||
\(434\) | 1.07621 | − | 6.79492i | 0.0516597 | − | 0.326166i | ||||
\(435\) | 5.49895 | − | 1.32018i | 0.263655 | − | 0.0632979i | ||||
\(436\) | −14.1109 | − | 1.11055i | −0.675791 | − | 0.0531859i | ||||
\(437\) | 2.51955 | + | 32.0140i | 0.120527 | + | 1.53144i | ||||
\(438\) | 12.0421 | − | 16.5745i | 0.575394 | − | 0.791962i | ||||
\(439\) | 2.87071 | + | 6.93050i | 0.137011 | + | 0.330775i | 0.977461 | − | 0.211114i | \(-0.0677092\pi\) |
−0.840450 | + | 0.541889i | \(0.817709\pi\) | |||||||
\(440\) | 27.2006 | + | 30.6439i | 1.29674 | + | 1.46089i | ||||
\(441\) | 7.92073 | 0.377178 | ||||||||
\(442\) | 18.4486 | + | 7.34133i | 0.877509 | + | 0.349191i | ||||
\(443\) | −10.6586 | + | 32.8037i | −0.506404 | + | 1.55855i | 0.291994 | + | 0.956420i | \(0.405681\pi\) |
−0.798398 | + | 0.602130i | \(0.794319\pi\) | |||||||
\(444\) | −7.64936 | + | 15.0127i | −0.363023 | + | 0.712472i | ||||
\(445\) | −13.2094 | − | 8.09474i | −0.626186 | − | 0.383727i | ||||
\(446\) | −28.8525 | − | 39.7120i | −1.36620 | − | 1.88042i | ||||
\(447\) | −1.52773 | − | 1.78874i | −0.0722591 | − | 0.0846046i | ||||
\(448\) | −11.0799 | − | 9.46311i | −0.523475 | − | 0.447090i | ||||
\(449\) | −9.43183 | − | 15.3913i | −0.445116 | − | 0.726362i | 0.548866 | − | 0.835910i | \(-0.315060\pi\) |
−0.993982 | + | 0.109548i | \(0.965060\pi\) | |||||||
\(450\) | −8.28361 | + | 8.28361i | −0.390493 | + | 0.390493i | ||||
\(451\) | −23.4517 | + | 2.29673i | −1.10430 | + | 0.108149i | ||||
\(452\) | −79.6896 | − | 33.0085i | −3.74828 | − | 1.55259i | ||||
\(453\) | 3.57676 | − | 2.19184i | 0.168051 | − | 0.102982i | ||||
\(454\) | −1.39584 | − | 17.7358i | −0.0655098 | − | 0.832381i | ||||
\(455\) | −10.0420 | + | 3.26283i | −0.470774 | + | 0.152964i | ||||
\(456\) | 27.8545 | + | 17.0693i | 1.30441 | + | 0.799341i | ||||
\(457\) | −16.8592 | − | 2.67023i | −0.788639 | − | 0.124908i | −0.250893 | − | 0.968015i | \(-0.580724\pi\) |
−0.537746 | + | 0.843107i | \(0.680724\pi\) | |||||||
\(458\) | −11.2282 | − | 34.5570i | −0.524661 | − | 1.61474i | ||||
\(459\) | −15.9885 | + | 5.44314i | −0.746279 | + | 0.254064i | ||||
\(460\) | −34.7939 | − | 25.2793i | −1.62228 | − | 1.17865i | ||||
\(461\) | −20.6232 | − | 20.6232i | −0.960520 | − | 0.960520i | 0.0387296 | − | 0.999250i | \(-0.487669\pi\) |
−0.999250 | + | 0.0387296i | \(0.987669\pi\) | |||||||
\(462\) | 17.0013 | + | 11.8632i | 0.790970 | + | 0.551924i | ||||
\(463\) | − | 30.6325i | − | 1.42362i | −0.702375 | − | 0.711808i | \(-0.747877\pi\) | ||
0.702375 | − | 0.711808i | \(-0.252123\pi\) | |||||||
\(464\) | 35.6268 | + | 8.55325i | 1.65393 | + | 0.397075i | ||||
\(465\) | −0.843343 | − | 0.720283i | −0.0391091 | − | 0.0334023i | ||||
\(466\) | −4.61933 | + | 58.6941i | −0.213986 | + | 2.71895i | ||||
\(467\) | 0.0849765 | − | 0.536520i | 0.00393224 | − | 0.0248272i | −0.985644 | − | 0.168836i | \(-0.945999\pi\) |
0.989576 | + | 0.144009i | \(0.0459993\pi\) | |||||||
\(468\) | 3.32341 | − | 20.9832i | 0.153624 | − | 0.969947i | ||||
\(469\) | 0.724640 | − | 9.20743i | 0.0334608 | − | 0.425159i | ||||
\(470\) | −34.6595 | − | 29.6020i | −1.59872 | − | 1.36544i | ||||
\(471\) | 11.3450 | + | 2.72370i | 0.522752 | + | 0.125502i | ||||
\(472\) | − | 1.49072i | − | 0.0686157i | ||||||
\(473\) | 35.8048 | − | 0.683361i | 1.64631 | − | 0.0314210i | ||||
\(474\) | −4.35114 | − | 4.35114i | −0.199855 | − | 0.199855i | ||||
\(475\) | −9.35644 | − | 6.79785i | −0.429303 | − | 0.311907i | ||||
\(476\) | 19.9828 | + | 58.6969i | 0.915912 | + | 2.69037i | ||||
\(477\) | −2.27496 | − | 7.00159i | −0.104163 | − | 0.320581i | ||||
\(478\) | −62.6762 | − | 9.92694i | −2.86674 | − | 0.454048i | ||||
\(479\) | −21.9961 | − | 13.4793i | −1.00503 | − | 0.615883i | −0.0804049 | − | 0.996762i | \(-0.525621\pi\) |
−0.924625 | + | 0.380879i | \(0.875621\pi\) | |||||||
\(480\) | −10.7351 | + | 3.48806i | −0.489989 | + | 0.159207i | ||||
\(481\) | 0.694729 | + | 8.82737i | 0.0316769 | + | 0.402493i | ||||
\(482\) | −0.464525 | + | 0.284661i | −0.0211585 | + | 0.0129660i | ||||
\(483\) | −11.5403 | − | 4.78016i | −0.525103 | − | 0.217505i | ||||
\(484\) | −17.8232 | − | 48.4766i | −0.810147 | − | 2.20348i | ||||
\(485\) | −17.3042 | + | 17.3042i | −0.785743 | + | 0.785743i | ||||
\(486\) | 20.9013 | + | 34.1078i | 0.948102 | + | 1.54716i | ||||
\(487\) | −16.6421 | − | 14.2137i | −0.754124 | − | 0.644083i | 0.186917 | − | 0.982376i | \(-0.440150\pi\) |
−0.941041 | + | 0.338293i | \(0.890150\pi\) | |||||||
\(488\) | 16.2518 | + | 19.0284i | 0.735686 | + | 0.861377i | ||||
\(489\) | −3.77637 | − | 5.19773i | −0.170774 | − | 0.235050i | ||||
\(490\) | −12.7327 | − | 7.80259i | −0.575203 | − | 0.352485i | ||||
\(491\) | −2.68426 | + | 5.26817i | −0.121139 | + | 0.237749i | −0.943611 | − | 0.331057i | \(-0.892595\pi\) |
0.822471 | + | 0.568806i | \(0.192595\pi\) | |||||||
\(492\) | 7.77516 | − | 23.9295i | 0.350531 | − | 1.07882i | ||||
\(493\) | −12.5120 | − | 12.1671i | −0.563514 | − | 0.547981i | ||||
\(494\) | 29.9070 | 1.34558 | ||||||||
\(495\) | −13.0889 | + | 5.71661i | −0.588303 | + | 0.256942i | ||||
\(496\) | −2.74976 | − | 6.63852i | −0.123468 | − | 0.298078i | ||||
\(497\) | −16.9724 | + | 23.3605i | −0.761315 | + | 1.04786i | ||||
\(498\) | −1.77486 | − | 22.5518i | −0.0795335 | − | 1.01057i | ||||
\(499\) | −13.0907 | − | 1.03026i | −0.586018 | − | 0.0461207i | −0.218016 | − | 0.975945i | \(-0.569958\pi\) |
−0.368003 | + | 0.929825i | \(0.619958\pi\) | |||||||
\(500\) | 55.4982 | − | 13.3239i | 2.48195 | − | 0.595864i | ||||
\(501\) | 1.21625 | − | 7.67910i | 0.0543380 | − | 0.343077i | ||||
\(502\) | 14.0299 | + | 7.14858i | 0.626184 | + | 0.319057i | ||||
\(503\) | 1.56454 | − | 1.83184i | 0.0697594 | − | 0.0816778i | −0.724429 | − | 0.689350i | \(-0.757896\pi\) |
0.794188 | + | 0.607672i | \(0.207896\pi\) | |||||||
\(504\) | 46.3037 | − | 28.3750i | 2.06253 | − | 1.26392i | ||||
\(505\) | −13.5292 | + | 5.60399i | −0.602042 | + | 0.249374i | ||||
\(506\) | 23.9043 | + | 37.3875i | 1.06267 | + | 1.66208i | ||||
\(507\) | −2.75248 | − | 6.64508i | −0.122242 | − | 0.295118i | ||||
\(508\) | −13.6659 | − | 86.2829i | −0.606325 | − | 3.82819i | ||||
\(509\) | −10.0111 | + | 30.8110i | −0.443734 | + | 1.36567i | 0.440133 | + | 0.897933i | \(0.354931\pi\) |
−0.883866 | + | 0.467739i | \(0.845069\pi\) | |||||||
\(510\) | 13.9050 | + | 3.13345i | 0.615723 | + | 0.138752i | ||||
\(511\) | 27.2007 | − | 19.7625i | 1.20329 | − | 0.874241i | ||||
\(512\) | 47.0233 | + | 7.44776i | 2.07816 | + | 0.329148i | ||||
\(513\) | −19.3444 | + | 16.5217i | −0.854078 | + | 0.729452i | ||||
\(514\) | 8.81139 | + | 2.86299i | 0.388654 | + | 0.126281i | ||||
\(515\) | 23.2454 | + | 5.58072i | 1.02431 | + | 0.245916i | ||||
\(516\) | −14.6332 | + | 35.3278i | −0.644192 | + | 1.55522i | ||||
\(517\) | 15.5315 | + | 29.0961i | 0.683076 | + | 1.27964i | ||||
\(518\) | −27.8809 | + | 27.8809i | −1.22502 | + | 1.22502i | ||||
\(519\) | 7.34509 | − | 1.16335i | 0.322414 | − | 0.0510653i | ||||
\(520\) | −14.9325 | + | 17.4837i | −0.654835 | + | 0.766713i | ||||
\(521\) | 23.6223 | + | 1.85912i | 1.03491 | + | 0.0814493i | 0.584518 | − | 0.811381i | \(-0.301284\pi\) |
0.450394 | + | 0.892830i | \(0.351284\pi\) | |||||||
\(522\) | −13.9128 | + | 22.7037i | −0.608948 | + | 0.993713i | ||||
\(523\) | 5.03940 | + | 6.93614i | 0.220358 | + | 0.303296i | 0.904856 | − | 0.425718i | \(-0.139979\pi\) |
−0.684498 | + | 0.729015i | \(0.739979\pi\) | |||||||
\(524\) | 30.4677 | − | 26.0219i | 1.33099 | − | 1.13677i | ||||
\(525\) | 4.00827 | − | 2.04231i | 0.174935 | − | 0.0891339i | ||||
\(526\) | 31.1498 | + | 22.6316i | 1.35820 | + | 0.986787i | ||||
\(527\) | −0.488136 | + | 3.38771i | −0.0212635 | + | 0.147571i | ||||
\(528\) | 21.6145 | + | 1.28664i | 0.940651 | + | 0.0559937i | ||||
\(529\) | −2.64324 | − | 2.64324i | −0.114923 | − | 0.114923i | ||||
\(530\) | −3.24014 | + | 13.4962i | −0.140743 | + | 0.586236i | ||||
\(531\) | 0.494197 | + | 0.160574i | 0.0214463 | + | 0.00696834i | ||||
\(532\) | 60.6545 | + | 71.0173i | 2.62971 | + | 3.07899i | ||||
\(533\) | −3.08678 | − | 12.8574i | −0.133703 | − | 0.556914i | ||||
\(534\) | −16.5971 | + | 3.98462i | −0.718228 | + | 0.172431i | ||||
\(535\) | 15.2395 | + | 7.76493i | 0.658863 | + | 0.335707i | ||||
\(536\) | −9.13067 | − | 17.9200i | −0.394385 | − | 0.774024i | ||||
\(537\) | 7.81396 | + | 12.7512i | 0.337197 | + | 0.550256i | ||||
\(538\) | −2.60954 | + | 6.29998i | −0.112505 | + | 0.271612i | ||||
\(539\) | 6.51709 | + | 8.61920i | 0.280711 | + | 0.371255i | ||||
\(540\) | − | 34.0703i | − | 1.46615i | ||||||
\(541\) | −1.42445 | + | 5.93328i | −0.0612421 | + | 0.255092i | −0.994590 | − | 0.103883i | \(-0.966873\pi\) |
0.933347 | + | 0.358974i | \(0.116873\pi\) | |||||||
\(542\) | 57.2575 | − | 29.1741i | 2.45942 | − | 1.25314i | ||||
\(543\) | −0.942030 | − | 2.89927i | −0.0404264 | − | 0.124420i | ||||
\(544\) | 26.8020 | + | 22.2509i | 1.14913 | + | 0.954000i | ||||
\(545\) | −4.32008 | + | 3.13872i | −0.185052 | + | 0.134448i | ||||
\(546\) | −5.28133 | + | 10.3652i | −0.226020 | + | 0.443589i | ||||
\(547\) | 18.3951 | − | 1.44773i | 0.786520 | − | 0.0619004i | 0.321163 | − | 0.947024i | \(-0.395926\pi\) |
0.465356 | + | 0.885123i | \(0.345926\pi\) | |||||||
\(548\) | −13.7170 | + | 18.8799i | −0.585963 | + | 0.806508i | ||||
\(549\) | −8.05884 | + | 3.33808i | −0.343943 | + | 0.142466i | ||||
\(550\) | −15.8297 | − | 2.19842i | −0.674983 | − | 0.0937408i | ||||
\(551\) | −24.2865 | − | 10.0598i | −1.03464 | − | 0.428561i | ||||
\(552\) | −26.8658 | + | 4.25512i | −1.14348 | + | 0.181110i | ||||
\(553\) | −4.58463 | − | 8.99784i | −0.194958 | − | 0.382627i | ||||
\(554\) | 1.90915 | − | 24.2581i | 0.0811120 | − | 1.03063i | ||||
\(555\) | 1.48389 | + | 6.18084i | 0.0629876 | + | 0.262362i | ||||
\(556\) | 21.9983 | − | 35.8980i | 0.932936 | − | 1.52241i | ||||
\(557\) | −32.0402 | + | 10.4105i | −1.35758 | + | 0.441106i | −0.895236 | − | 0.445592i | \(-0.852993\pi\) |
−0.462349 | + | 0.886698i | \(0.652993\pi\) | |||||||
\(558\) | 5.20595 | − | 0.409717i | 0.220385 | − | 0.0173447i | ||||
\(559\) | 3.14360 | + | 19.8479i | 0.132960 | + | 0.839477i | ||||
\(560\) | −49.1081 | −2.07520 | ||||||||
\(561\) | −8.54000 | − | 5.78330i | −0.360559 | − | 0.244171i | ||||
\(562\) | −9.17528 | −0.387036 | ||||||||
\(563\) | 0.937879 | + | 5.92153i | 0.0395269 | + | 0.249563i | 0.999538 | − | 0.0303996i | \(-0.00967797\pi\) |
−0.960011 | + | 0.279962i | \(0.909678\pi\) | |||||||
\(564\) | −35.1088 | + | 2.76312i | −1.47835 | + | 0.116348i | ||||
\(565\) | −30.9478 | + | 10.0556i | −1.30199 | + | 0.423041i | ||||
\(566\) | −2.48229 | + | 4.05073i | −0.104338 | + | 0.170265i | ||||
\(567\) | 3.14311 | + | 13.0920i | 0.131998 | + | 0.549813i | ||||
\(568\) | −4.93338 | + | 62.6845i | −0.207000 | + | 2.63018i | ||||
\(569\) | 10.0897 | + | 19.8022i | 0.422983 | + | 0.830151i | 0.999911 | + | 0.0133561i | \(0.00425149\pi\) |
−0.576928 | + | 0.816795i | \(0.695749\pi\) | |||||||
\(570\) | 21.2049 | − | 3.35853i | 0.888178 | − | 0.140674i | ||||
\(571\) | 41.9424 | + | 17.3731i | 1.75523 | + | 0.727042i | 0.997196 | + | 0.0748315i | \(0.0238419\pi\) |
0.758038 | + | 0.652210i | \(0.226158\pi\) | |||||||
\(572\) | 25.5680 | − | 13.6482i | 1.06905 | − | 0.570662i | ||||
\(573\) | −8.18467 | + | 3.39020i | −0.341920 | + | 0.141628i | ||||
\(574\) | 34.6090 | − | 47.6352i | 1.44455 | − | 1.98825i | ||||
\(575\) | 9.59981 | − | 0.755521i | 0.400340 | − | 0.0315074i | ||||
\(576\) | 5.02126 | − | 9.85477i | 0.209219 | − | 0.410616i | ||||
\(577\) | 5.06723 | − | 3.68156i | 0.210952 | − | 0.153265i | −0.477293 | − | 0.878744i | \(-0.658382\pi\) |
0.688244 | + | 0.725479i | \(0.258382\pi\) | |||||||
\(578\) | −14.7569 | − | 41.4391i | −0.613806 | − | 1.72364i | ||||
\(579\) | −6.09897 | − | 18.7707i | −0.253465 | − | 0.780084i | ||||
\(580\) | 31.3686 | − | 15.9831i | 1.30251 | − | 0.663663i | ||||
\(581\) | 8.66654 | − | 36.0987i | 0.359549 | − | 1.49763i | ||||
\(582\) | 26.9619i | 1.11761i | ||||||||
\(583\) | 5.74720 | − | 8.23640i | 0.238025 | − | 0.341117i | ||||
\(584\) | 28.0181 | − | 67.6418i | 1.15940 | − | 2.79904i | ||||
\(585\) | −4.18768 | − | 6.83368i | −0.173139 | − | 0.282538i | ||||
\(586\) | 23.0851 | + | 45.3070i | 0.953636 | + | 1.87162i | ||||
\(587\) | 28.2568 | + | 14.3976i | 1.16628 | + | 0.594252i | 0.926397 | − | 0.376549i | \(-0.122889\pi\) |
0.239888 | + | 0.970801i | \(0.422889\pi\) | |||||||
\(588\) | −11.2193 | + | 2.69351i | −0.462675 | + | 0.111079i | ||||
\(589\) | 1.20349 | + | 5.01292i | 0.0495891 | + | 0.206554i | ||||
\(590\) | −0.636249 | − | 0.744952i | −0.0261939 | − | 0.0306692i | ||||
\(591\) | 16.5292 | + | 5.37066i | 0.679920 | + | 0.220919i | ||||
\(592\) | −9.61388 | + | 40.0447i | −0.395128 | + | 1.64583i | ||||
\(593\) | −12.3655 | − | 12.3655i | −0.507792 | − | 0.507792i | 0.406056 | − | 0.913848i | \(-0.366904\pi\) |
−0.913848 | + | 0.406056i | \(0.866904\pi\) | |||||||
\(594\) | −12.8308 | + | 32.7293i | −0.526454 | + | 1.34290i | ||||
\(595\) | 20.1137 | + | 11.9423i | 0.824583 | + | 0.489588i | ||||
\(596\) | −11.8475 | − | 8.60769i | −0.485292 | − | 0.352585i | ||||
\(597\) | −0.0670210 | + | 0.0341489i | −0.00274299 | + | 0.00139762i | ||||
\(598\) | −18.9352 | + | 16.1722i | −0.774317 | + | 0.661329i | ||||
\(599\) | −8.36252 | − | 11.5100i | −0.341683 | − | 0.470287i | 0.603249 | − | 0.797553i | \(-0.293873\pi\) |
−0.944932 | + | 0.327266i | \(0.893873\pi\) | |||||||
\(600\) | 5.11844 | − | 8.35254i | 0.208959 | − | 0.340991i | ||||
\(601\) | −4.45744 | − | 0.350808i | −0.181823 | − | 0.0143098i | −0.0127793 | − | 0.999918i | \(-0.504068\pi\) |
−0.169044 | + | 0.985609i | \(0.554068\pi\) | |||||||
\(602\) | −58.1150 | + | 68.0439i | −2.36859 | + | 2.77326i | ||||
\(603\) | 6.92429 | − | 1.09670i | 0.281979 | − | 0.0446611i | ||||
\(604\) | 18.4661 | − | 18.4661i | 0.751374 | − | 0.751374i | ||||
\(605\) | −16.9901 | − | 9.53956i | −0.690747 | − | 0.387838i | ||||
\(606\) | −6.17421 | + | 14.9059i | −0.250810 | + | 0.605509i | ||||
\(607\) | 47.5089 | + | 11.4059i | 1.92833 | + | 0.462950i | 0.994429 | + | 0.105405i | \(0.0336139\pi\) |
0.933896 | + | 0.357545i | \(0.116386\pi\) | |||||||
\(608\) | 49.9008 | + | 16.2138i | 2.02374 | + | 0.657555i | ||||
\(609\) | 7.77530 | − | 6.64073i | 0.315071 | − | 0.269096i | ||||
\(610\) | 16.2430 | + | 2.57263i | 0.657659 | + | 0.104163i | ||||
\(611\) | −14.9730 | + | 10.8785i | −0.605742 | + | 0.440097i | ||||
\(612\) | −39.7826 | + | 25.1501i | −1.60811 | + | 1.01663i | ||||
\(613\) | −2.45763 | + | 7.56380i | −0.0992626 | + | 0.305499i | −0.988341 | − | 0.152256i | \(-0.951346\pi\) |
0.889078 | + | 0.457755i | \(0.151346\pi\) | |||||||
\(614\) | 8.17648 | + | 51.6243i | 0.329976 | + | 2.08339i | ||||
\(615\) | −3.63249 | − | 8.76960i | −0.146476 | − | 0.353624i | ||||
\(616\) | 68.9753 | + | 27.0403i | 2.77910 | + | 1.08948i | ||||
\(617\) | −29.3165 | + | 12.1433i | −1.18024 | + | 0.488871i | −0.884564 | − | 0.466418i | \(-0.845544\pi\) |
−0.295674 | + | 0.955289i | \(0.595544\pi\) | |||||||
\(618\) | 22.4572 | − | 13.7618i | 0.903360 | − | 0.553580i | ||||
\(619\) | 11.0542 | − | 12.9428i | 0.444307 | − | 0.520216i | −0.492382 | − | 0.870379i | \(-0.663874\pi\) |
0.936689 | + | 0.350163i | \(0.113874\pi\) | |||||||
\(620\) | −6.15185 | − | 3.13452i | −0.247064 | − | 0.125885i | ||||
\(621\) | 3.31355 | − | 20.9209i | 0.132968 | − | 0.839528i | ||||
\(622\) | 23.3440 | − | 5.60439i | 0.936008 | − | 0.224716i | ||||
\(623\) | −27.9254 | − | 2.19778i | −1.11881 | − | 0.0880521i | ||||
\(624\) | 0.953304 | + | 12.1129i | 0.0381627 | + | 0.484903i | ||||
\(625\) | 7.18319 | − | 9.88681i | 0.287328 | − | 0.395473i | ||||
\(626\) | −13.9160 | − | 33.5963i | −0.556197 | − | 1.34278i | ||||
\(627\) | −15.1724 | − | 3.33770i | −0.605928 | − | 0.133295i | ||||
\(628\) | 72.6341 | 2.89842 | ||||||||
\(629\) | 13.6759 | − | 14.0636i | 0.545294 | − | 0.560752i | ||||
\(630\) | 11.0286 | − | 33.9425i | 0.439390 | − | 1.35230i | ||||
\(631\) | 0.0781904 | − | 0.153457i | 0.00311271 | − | 0.00610904i | −0.889445 | − | 0.457042i | \(-0.848909\pi\) |
0.892558 | + | 0.450933i | \(0.148909\pi\) | |||||||
\(632\) | −18.7500 | − | 11.4900i | −0.745833 | − | 0.457047i | ||||
\(633\) | 4.32911 | + | 5.95852i | 0.172067 | + | 0.236830i | ||||
\(634\) | −1.92441 | − | 2.25320i | −0.0764282 | − | 0.0894860i | ||||
\(635\) | −25.0604 | − | 21.4036i | −0.994492 | − | 0.849376i | ||||
\(636\) | 5.60330 | + | 9.14375i | 0.222185 | + | 0.362573i | ||||
\(637\) | −4.28758 | + | 4.28758i | −0.169880 | + | 0.169880i | ||||
\(638\) | −36.1531 | + | 3.54064i | −1.43131 | + | 0.140175i | ||||
\(639\) | −20.2496 | − | 8.38765i | −0.801061 | − | 0.331810i | ||||
\(640\) | 7.74111 | − | 4.74376i | 0.305994 | − | 0.187514i | ||||
\(641\) | −2.09048 | − | 26.5620i | −0.0825689 | − | 1.04914i | −0.889030 | − | 0.457849i | \(-0.848620\pi\) |
0.806461 | − | 0.591287i | \(-0.201380\pi\) | |||||||
\(642\) | 17.9218 | − | 5.82314i | 0.707316 | − | 0.229821i | ||||
\(643\) | 17.5992 | + | 10.7848i | 0.694046 | + | 0.425312i | 0.824288 | − | 0.566171i | \(-0.191576\pi\) |
−0.130243 | + | 0.991482i | \(0.541576\pi\) | |||||||
\(644\) | −76.8049 | − | 12.1647i | −3.02654 | − | 0.479356i | ||||
\(645\) | 4.45780 | + | 13.7197i | 0.175526 | + | 0.540213i | ||||
\(646\) | −43.7299 | − | 49.7755i | −1.72053 | − | 1.95839i | ||||
\(647\) | −22.0460 | − | 16.0174i | −0.866719 | − | 0.629708i | 0.0629858 | − | 0.998014i | \(-0.479938\pi\) |
−0.929704 | + | 0.368306i | \(0.879938\pi\) | |||||||
\(648\) | 20.7318 | + | 20.7318i | 0.814421 | + | 0.814421i | ||||
\(649\) | 0.231886 | + | 0.669896i | 0.00910232 | + | 0.0262957i | ||||
\(650\) | − | 8.96802i | − | 0.351755i | ||||||
\(651\) | −1.94990 | − | 0.468130i | −0.0764228 | − | 0.0183475i | ||||
\(652\) | −30.4136 | − | 25.9757i | −1.19109 | − | 1.01729i | ||||
\(653\) | −0.915291 | + | 11.6299i | −0.0358181 | + | 0.455112i | 0.952690 | + | 0.303944i | \(0.0983035\pi\) |
−0.988508 | + | 0.151168i | \(0.951696\pi\) | |||||||
\(654\) | −0.920345 | + | 5.81083i | −0.0359883 | + | 0.227221i | ||||
\(655\) | 2.36464 | − | 14.9297i | 0.0923941 | − | 0.583353i | ||||
\(656\) | 4.82508 | − | 61.3085i | 0.188388 | − | 2.39370i | ||||
\(657\) | 19.4064 | + | 16.5746i | 0.757115 | + | 0.646638i | ||||
\(658\) | −80.1367 | − | 19.2391i | −3.12406 | − | 0.750019i | ||||
\(659\) | 17.2678i | 0.672659i | 0.941744 | + | 0.336330i | \(0.109186\pi\) | ||||
−0.941744 | + | 0.336330i | \(0.890814\pi\) | |||||||
\(660\) | 16.5957 | − | 12.5483i | 0.645988 | − | 0.488440i | ||||
\(661\) | 9.10883 | + | 9.10883i | 0.354293 | + | 0.354293i | 0.861704 | − | 0.507411i | \(-0.169398\pi\) |
−0.507411 | + | 0.861704i | \(0.669398\pi\) | |||||||
\(662\) | −51.9997 | − | 37.7800i | −2.02103 | − | 1.46836i | ||||
\(663\) | 2.55521 | − | 5.19303i | 0.0992362 | − | 0.201680i | ||||
\(664\) | −24.9816 | − | 76.8854i | −0.969473 | − | 2.98373i | ||||
\(665\) | 34.7998 | + | 5.51174i | 1.34948 | + | 0.213736i | ||||
\(666\) | −25.5190 | − | 15.6381i | −0.988842 | − | 0.605963i | ||||
\(667\) | 20.8164 | − | 6.76366i | 0.806014 | − | 0.261890i | ||||
\(668\) | −3.79751 | − | 48.2520i | −0.146930 | − | 1.86693i | ||||
\(669\) | −12.1997 | + | 7.47596i | −0.471666 | + | 0.289037i | ||||
\(670\) | −12.2112 | − | 5.05806i | −0.471761 | − | 0.195410i | ||||
\(671\) | −10.2632 | − | 6.02296i | −0.396205 | − | 0.232514i | ||||
\(672\) | −14.4314 | + | 14.4314i | −0.556704 | + | 0.556704i | ||||
\(673\) | −11.8894 | − | 19.4017i | −0.458303 | − | 0.747882i | 0.537114 | − | 0.843509i | \(-0.319514\pi\) |
−0.995417 | + | 0.0956273i | \(0.969514\pi\) | |||||||
\(674\) | −22.8743 | − | 19.5365i | −0.881086 | − | 0.752518i | ||||
\(675\) | 4.95425 | + | 5.80069i | 0.190689 | + | 0.223269i | ||||
\(676\) | −26.3190 | − | 36.2250i | −1.01227 | − | 1.39327i | ||||
\(677\) | 7.45798 | + | 4.57026i | 0.286633 | + | 0.175649i | 0.658381 | − | 0.752684i | \(-0.271241\pi\) |
−0.371748 | + | 0.928334i | \(0.621241\pi\) | |||||||
\(678\) | −16.2763 | + | 31.9440i | −0.625087 | + | 1.22680i | ||||
\(679\) | −13.6733 | + | 42.0819i | −0.524731 | + | 1.61496i | ||||
\(680\) | 50.9331 | − | 0.711806i | 1.95320 | − | 0.0272965i | ||||
\(681\) | −5.18571 | −0.198717 | ||||||||
\(682\) | 4.72924 | + | 5.32791i | 0.181092 | + | 0.204016i | ||||
\(683\) | 3.61897 | + | 8.73698i | 0.138476 | + | 0.334311i | 0.977870 | − | 0.209212i | \(-0.0670899\pi\) |
−0.839394 | + | 0.543523i | \(0.817090\pi\) | |||||||
\(684\) | −41.6691 | + | 57.3525i | −1.59326 | + | 2.19293i | ||||
\(685\) | 0.690753 | + | 8.77684i | 0.0263923 | + | 0.335346i | ||||
\(686\) | 30.9156 | + | 2.43311i | 1.18036 | + | 0.0928967i | ||||
\(687\) | −10.2986 | + | 2.47248i | −0.392916 | + | 0.0943309i | ||||
\(688\) | −14.6207 | + | 92.3114i | −0.557409 | + | 3.51934i | ||||
\(689\) | 5.02150 | + | 2.55858i | 0.191304 | + | 0.0974742i | ||||
\(690\) | −11.6095 | + | 13.5929i | −0.441965 | + | 0.517474i | ||||
\(691\) | −7.34591 | + | 4.50158i | −0.279451 | + | 0.171248i | −0.655161 | − | 0.755489i | \(-0.727399\pi\) |
0.375709 | + | 0.926738i | \(0.377399\pi\) | |||||||
\(692\) | 42.7719 | − | 17.7167i | 1.62594 | − | 0.673488i | ||||
\(693\) | −16.3941 | + | 19.9538i | −0.622760 | + | 0.757983i | ||||
\(694\) | −16.4537 | − | 39.7227i | −0.624573 | − | 1.50785i | ||||
\(695\) | −2.48470 | − | 15.6878i | −0.0942501 | − | 0.595072i | ||||
\(696\) | 6.88067 | − | 21.1765i | 0.260811 | − | 0.802694i | ||||
\(697\) | −16.8856 | + | 23.9374i | −0.639586 | + | 0.906694i | ||||
\(698\) | −45.9162 | + | 33.3601i | −1.73796 | + | 1.26270i | ||||
\(699\) | 16.9501 | + | 2.68464i | 0.641113 | + | 0.101542i | ||||
\(700\) | 21.2955 | − | 18.1880i | 0.804893 | − | 0.687444i | ||||
\(701\) | 41.5072 | + | 13.4865i | 1.56770 | + | 0.509378i | 0.958852 | − | 0.283906i | \(-0.0916303\pi\) |
0.608852 | + | 0.793284i | \(0.291630\pi\) | |||||||
\(702\) | −19.1817 | − | 4.60511i | −0.723965 | − | 0.173809i | ||||
\(703\) | 11.3072 | − | 27.2981i | 0.426460 | − | 1.02957i | ||||
\(704\) | 14.8552 | − | 2.64435i | 0.559878 | − | 0.0996628i | ||||
\(705\) | −9.39463 | + | 9.39463i | −0.353822 | + | 0.353822i | ||||
\(706\) | −58.2688 | + | 9.22887i | −2.19298 | + | 0.347333i | ||||
\(707\) | −17.1959 | + | 20.1338i | −0.646718 | + | 0.757210i | ||||
\(708\) | −0.754608 | − | 0.0593890i | −0.0283599 | − | 0.00223197i | ||||
\(709\) | −14.1731 | + | 23.1285i | −0.532284 | + | 0.868608i | −0.999882 | − | 0.0153327i | \(-0.995119\pi\) |
0.467599 | + | 0.883941i | \(0.345119\pi\) | |||||||
\(710\) | 24.2889 | + | 33.4308i | 0.911545 | + | 1.25463i | ||||
\(711\) | 5.82880 | − | 4.97827i | 0.218597 | − | 0.186700i | ||||
\(712\) | −54.3499 | + | 27.6926i | −2.03685 | + | 1.03783i | ||||
\(713\) | −3.47270 | − | 2.52306i | −0.130054 | − | 0.0944894i | ||||
\(714\) | 24.9735 | − | 6.36598i | 0.934610 | − | 0.238241i | ||||
\(715\) | 3.99071 | − | 10.1796i | 0.149244 | − | 0.380697i | ||||
\(716\) | 65.8320 | + | 65.8320i | 2.46026 | + | 2.46026i | ||||
\(717\) | −4.31803 | + | 17.9859i | −0.161260 | + | 0.671696i | ||||
\(718\) | 56.5004 | + | 18.3581i | 2.10857 | + | 0.685117i | ||||
\(719\) | −8.48733 | − | 9.93738i | −0.316524 | − | 0.370602i | 0.579221 | − | 0.815171i | \(-0.303357\pi\) |
−0.895745 | + | 0.444569i | \(0.853357\pi\) | |||||||
\(720\) | −8.70192 | − | 36.2461i | −0.324301 | − | 1.35081i | ||||
\(721\) | 42.0300 | − | 10.0905i | 1.56528 | − | 0.375791i | ||||
\(722\) | −45.1149 | − | 22.9872i | −1.67900 | − | 0.855495i | ||||
\(723\) | 0.0720954 | + | 0.141495i | 0.00268126 | + | 0.00526226i | ||||
\(724\) | −9.91593 | − | 16.1813i | −0.368523 | − | 0.601374i | ||||
\(725\) | −3.01656 | + | 7.28261i | −0.112032 | + | 0.270470i | ||||
\(726\) | −20.6681 | + | 5.80441i | −0.767067 | + | 0.215422i | ||||
\(727\) | 6.59541i | 0.244610i | 0.992493 | + | 0.122305i | \(0.0390286\pi\) | ||||
−0.992493 | + | 0.122305i | \(0.960971\pi\) | |||||||
\(728\) | −9.70504 | + | 40.4244i | −0.359693 | + | 1.49823i | ||||
\(729\) | −0.847552 | + | 0.431849i | −0.0313908 | + | 0.0159944i | ||||
\(730\) | −14.8686 | − | 45.7608i | −0.550311 | − | 1.69368i | ||||
\(731\) | 28.4371 | − | 34.2535i | 1.05178 | − | 1.26691i | ||||
\(732\) | 10.2798 | − | 7.46869i | 0.379951 | − | 0.276051i | ||||
\(733\) | 2.71773 | − | 5.33385i | 0.100382 | − | 0.197010i | −0.835354 | − | 0.549713i | \(-0.814737\pi\) |
0.935736 | + | 0.352702i | \(0.114737\pi\) | |||||||
\(734\) | 17.8326 | − | 1.40346i | 0.658213 | − | 0.0518025i | ||||
\(735\) | −2.55853 | + | 3.52151i | −0.0943727 | + | 0.129893i | ||||
\(736\) | −40.3615 | + | 16.7183i | −1.48774 | + | 0.616244i | ||||
\(737\) | 6.89065 | + | 6.63255i | 0.253820 | + | 0.244313i | ||||
\(738\) | 41.2916 | + | 17.1035i | 1.51996 | + | 0.629590i | ||||
\(739\) | 6.09439 | − | 0.965257i | 0.224186 | − | 0.0355075i | −0.0433309 | − | 0.999061i | \(-0.513797\pi\) |
0.267517 | + | 0.963553i | \(0.413797\pi\) | |||||||
\(740\) | 17.9651 | + | 35.2584i | 0.660409 | + | 1.29613i | ||||
\(741\) | 0.683966 | − | 8.69061i | 0.0251261 | − | 0.319257i | ||||
\(742\) | 5.85851 | + | 24.4024i | 0.215073 | + | 0.895842i | ||||
\(743\) | 8.23857 | − | 13.4441i | 0.302244 | − | 0.493217i | −0.665076 | − | 0.746775i | \(-0.731601\pi\) |
0.967320 | + | 0.253558i | \(0.0816010\pi\) | |||||||
\(744\) | −4.15303 | + | 1.34940i | −0.152257 | + | 0.0494714i | ||||
\(745\) | −5.50763 | + | 0.433460i | −0.201784 | + | 0.0158808i | ||||
\(746\) | −4.85752 | − | 30.6691i | −0.177846 | − | 1.12288i | ||||
\(747\) | 28.1797 | 1.03104 | ||||||||
\(748\) | −60.1006 | − | 22.5974i | −2.19750 | − | 0.826244i | ||||
\(749\) | 30.9253 | 1.12999 | ||||||||
\(750\) | −3.71109 | − | 23.4309i | −0.135510 | − | 0.855575i | ||||
\(751\) | 41.4817 | − | 3.26468i | 1.51369 | − | 0.119130i | 0.705777 | − | 0.708434i | \(-0.250598\pi\) |
0.807911 | + | 0.589305i | \(0.200598\pi\) | |||||||
\(752\) | −81.8650 | + | 26.5995i | −2.98531 | + | 0.969986i | ||||
\(753\) | 2.39815 | − | 3.91342i | 0.0873933 | − | 0.142613i | ||||
\(754\) | −4.75859 | − | 19.8209i | −0.173297 | − | 0.721836i | ||||
\(755\) | 0.772984 | − | 9.82170i | 0.0281318 | − | 0.357448i | ||||
\(756\) | −27.9670 | − | 54.8884i | −1.01715 | − | 1.99627i | ||||
\(757\) | 9.66607 | − | 1.53095i | 0.351319 | − | 0.0556435i | 0.0217191 | − | 0.999764i | \(-0.493086\pi\) |
0.329600 | + | 0.944121i | \(0.393086\pi\) | |||||||
\(758\) | −29.7445 | − | 12.3206i | −1.08037 | − | 0.447503i | ||||
\(759\) | 11.4110 | − | 6.09123i | 0.414194 | − | 0.221098i | ||||
\(760\) | 70.8840 | − | 29.3611i | 2.57123 | − | 1.06504i | ||||
\(761\) | −11.1665 | + | 15.3694i | −0.404786 | + | 0.557140i | −0.961937 | − | 0.273271i | \(-0.911894\pi\) |
0.557151 | + | 0.830411i | \(0.311894\pi\) | |||||||
\(762\) | −36.1981 | + | 2.84885i | −1.31132 | + | 0.103203i | ||||
\(763\) | −4.38333 | + | 8.60276i | −0.158687 | + | 0.311441i | ||||
\(764\) | −44.6180 | + | 32.4168i | −1.61422 | + | 1.17280i | ||||
\(765\) | −5.25036 | + | 16.9619i | −0.189827 | + | 0.613258i | ||||
\(766\) | 22.1857 | + | 68.2805i | 0.801601 | + | 2.46707i | ||||
\(767\) | −0.354435 | + | 0.180594i | −0.0127979 | + | 0.00652087i | ||||
\(768\) | 3.93716 | − | 16.3995i | 0.142070 | − | 0.591765i | ||||
\(769\) | 39.1191i | 1.41067i | 0.708875 | + | 0.705335i | \(0.249203\pi\) | ||||
−0.708875 | + | 0.705335i | \(0.750797\pi\) | |||||||
\(770\) | 46.0099 | − | 15.9264i | 1.65808 | − | 0.573948i | ||||
\(771\) | 1.03346 | − | 2.49500i | 0.0372193 | − | 0.0898553i | ||||
\(772\) | −64.1986 | − | 104.763i | −2.31056 | − | 3.77049i | ||||
\(773\) | −0.194707 | − | 0.382134i | −0.00700313 | − | 0.0137444i | 0.887478 | − | 0.460849i | \(-0.152455\pi\) |
−0.894482 | + | 0.447105i | \(0.852455\pi\) | |||||||
\(774\) | −60.5203 | − | 30.8366i | −2.17536 | − | 1.10840i | ||||
\(775\) | 1.50319 | − | 0.360884i | 0.0539961 | − | 0.0129633i | ||||
\(776\) | 22.4932 | + | 93.6910i | 0.807459 | + | 3.36331i | ||||
\(777\) | 7.46421 | + | 8.73946i | 0.267777 | + | 0.313526i | ||||
\(778\) | 18.5337 | + | 6.02198i | 0.664467 | + | 0.215898i | ||||
\(779\) | −10.3003 | + | 42.9038i | −0.369047 | + | 1.53719i | ||||
\(780\) | 8.25547 | + | 8.25547i | 0.295593 | + | 0.295593i | ||||
\(781\) | −7.53383 | − | 28.9365i | −0.269582 | − | 1.03543i | ||||
\(782\) | 54.6029 | + | 7.86774i | 1.95259 | + | 0.281350i | ||||
\(783\) | 14.0277 | + | 10.1917i | 0.501310 | + | 0.364223i | ||||
\(784\) | −25.1275 | + | 12.8031i | −0.897411 | + | 0.457254i | ||||
\(785\) | 20.8365 | − | 17.7960i | 0.743685 | − | 0.635167i | ||||
\(786\) | −9.78893 | − | 13.4733i | −0.349160 | − | 0.480577i | ||||
\(787\) | 18.1669 | − | 29.6456i | 0.647579 | − | 1.05675i | −0.345399 | − | 0.938456i | \(-0.612256\pi\) |
0.992978 | − | 0.118297i | \(-0.0377435\pi\) | |||||||
\(788\) | 107.862 | + | 8.48896i | 3.84244 | + | 0.302407i | ||||
\(789\) | 7.28886 | − | 8.53416i | 0.259490 | − | 0.303824i | ||||
\(790\) | −14.2739 | + | 2.26076i | −0.507842 | + | 0.0804343i | ||||
\(791\) | −41.6037 | + | 41.6037i | −1.47926 | + | 1.47926i | ||||
\(792\) | −7.73574 | + | 55.7014i | −0.274878 | + | 1.97926i | ||||
\(793\) | 2.55540 | − | 6.16928i | 0.0907449 | − | 0.219078i | ||||
\(794\) | 16.9414 | + | 4.06728i | 0.601229 | + | 0.144342i | ||||
\(795\) | 3.84771 | + | 1.25020i | 0.136464 | + | 0.0443399i | ||||
\(796\) | −0.356075 | + | 0.304117i | −0.0126207 | + | 0.0107791i | ||||
\(797\) | −24.8929 | − | 3.94265i | −0.881752 | − | 0.139656i | −0.300891 | − | 0.953659i | \(-0.597284\pi\) |
−0.580861 | + | 0.814003i | \(0.697284\pi\) | |||||||
\(798\) | 31.4049 | − | 22.8170i | 1.11172 | − | 0.807714i | ||||
\(799\) | 39.9989 | + | 9.01365i | 1.41506 | + | 0.318880i | ||||
\(800\) | 4.86191 | − | 14.9634i | 0.171894 | − | 0.529037i | ||||
\(801\) | −3.32621 | − | 21.0009i | −0.117526 | − | 0.742029i | ||||
\(802\) | −15.2830 | − | 36.8965i | −0.539663 | − | 1.30286i | ||||
\(803\) | −2.06885 | + | 34.7551i | −0.0730082 | + | 1.22648i | ||||
\(804\) | −9.43494 | + | 3.90808i | −0.332745 | + | 0.137827i | ||||
\(805\) | −25.0134 | + | 15.3282i | −0.881606 | + | 0.540249i | ||||
\(806\) | −2.59625 | + | 3.03982i | −0.0914491 | + | 0.107073i | ||||
\(807\) | 1.77102 | + | 0.902378i | 0.0623427 | + | 0.0317652i | ||||
\(808\) | −9.01965 | + | 56.9478i | −0.317310 | + | 2.00342i | ||||
\(809\) | −12.2889 | + | 2.95031i | −0.432056 | + | 0.103727i | −0.443639 | − | 0.896206i | \(-0.646313\pi\) |
0.0115834 | + | 0.999933i | \(0.496313\pi\) | |||||||
\(810\) | 19.2087 | + | 1.51176i | 0.674926 | + | 0.0531178i | ||||
\(811\) | 2.04303 | + | 25.9591i | 0.0717404 | + | 0.911548i | 0.922501 | + | 0.385994i | \(0.126142\pi\) |
−0.850761 | + | 0.525553i | \(0.823858\pi\) | |||||||
\(812\) | 37.4159 | − | 51.4986i | 1.31304 | − | 1.80725i | ||||
\(813\) | −7.16817 | − | 17.3055i | −0.251399 | − | 0.606930i | ||||
\(814\) | −3.97969 | − | 40.6362i | −0.139488 | − | 1.42430i | ||||
\(815\) | −15.0890 | −0.528544 | ||||||||
\(816\) | 18.7660 | − | 19.2980i | 0.656942 | − | 0.675564i | ||||
\(817\) | 20.7215 | − | 63.7742i | 0.724953 | − | 2.23118i | ||||
\(818\) | −3.93500 | + | 7.72287i | −0.137584 | + | 0.270024i | ||||
\(819\) | −12.3560 | − | 7.57176i | −0.431753 | − | 0.264579i | ||||
\(820\) | −34.7335 | − | 47.8066i | −1.21295 | − | 1.66948i | ||||
\(821\) | −17.0689 | − | 19.9852i | −0.595710 | − | 0.697487i | 0.377863 | − | 0.925861i | \(-0.376659\pi\) |
−0.973573 | + | 0.228374i | \(0.926659\pi\) | |||||||
\(822\) | 7.37579 | + | 6.29952i | 0.257260 | + | 0.219721i | ||||
\(823\) | −9.88835 | − | 16.1363i | −0.344686 | − | 0.562477i | 0.632579 | − | 0.774495i | \(-0.281996\pi\) |
−0.977266 | + | 0.212019i | \(0.931996\pi\) | |||||||
\(824\) | 66.5564 | − | 66.5564i | 2.31860 | − | 2.31860i | ||||
\(825\) | −1.00085 | + | 4.54965i | −0.0348453 | + | 0.158398i | ||||
\(826\) | −1.63652 | − | 0.677868i | −0.0569418 | − | 0.0235861i | ||||
\(827\) | 16.2103 | − | 9.93371i | 0.563689 | − | 0.345429i | −0.211283 | − | 0.977425i | \(-0.567764\pi\) |
0.774972 | + | 0.631996i | \(0.217764\pi\) | |||||||
\(828\) | −4.63115 | − | 58.8443i | −0.160944 | − | 2.04498i | ||||
\(829\) | 42.0281 | − | 13.6558i | 1.45970 | − | 0.474284i | 0.531719 | − | 0.846921i | \(-0.321546\pi\) |
0.927977 | + | 0.372636i | \(0.121546\pi\) | |||||||
\(830\) | −45.2993 | − | 27.7594i | −1.57236 | − | 0.963544i | ||||
\(831\) | −7.00542 | − | 1.10955i | −0.243015 | − | 0.0384899i | ||||
\(832\) | 2.61644 | + | 8.05256i | 0.0907086 | + | 0.279172i | ||||
\(833\) | 13.4053 | + | 0.866721i | 0.464465 | + | 0.0300301i | ||||
\(834\) | −14.1574 | − | 10.2860i | −0.490231 | − | 0.356174i | ||||
\(835\) | −12.9116 | − | 12.9116i | −0.446823 | − | 0.446823i | ||||
\(836\) | −96.6949 | + | 1.84549i | −3.34426 | + | 0.0638277i | ||||
\(837\) | − | 3.40048i | − | 0.117538i | ||||||
\(838\) | 52.2181 | + | 12.5364i | 1.80384 | + | 0.433064i | ||||
\(839\) | −10.0761 | − | 8.60580i | −0.347866 | − | 0.297105i | 0.458297 | − | 0.888799i | \(-0.348460\pi\) |
−0.806163 | + | 0.591694i | \(0.798460\pi\) | |||||||
\(840\) | −2.34153 | + | 29.7519i | −0.0807904 | + | 1.02654i | ||||
\(841\) | 1.73375 | − | 10.9464i | 0.0597843 | − | 0.377463i | ||||
\(842\) | −6.06094 | + | 38.2673i | −0.208874 | + | 1.31878i | ||||
\(843\) | −0.209836 | + | 2.66622i | −0.00722714 | + | 0.0918296i | ||||
\(844\) | 34.8652 | + | 29.7777i | 1.20011 | + | 1.02499i | ||||
\(845\) | −16.4256 | − | 3.94343i | −0.565056 | − | 0.135658i | ||||
\(846\) | − | 62.5571i | − | 2.15076i | ||||||
\(847\) | −35.2023 | − | 1.42199i | −1.20956 | − | 0.0488603i | ||||
\(848\) | 18.5344 | + | 18.5344i | 0.636474 | + | 0.636474i | ||||
\(849\) | 1.12032 | + | 0.813960i | 0.0384493 | + | 0.0279350i | ||||
\(850\) | −14.9258 | + | 13.1130i | −0.511952 | + | 0.449771i | ||||
\(851\) | 7.60237 | + | 23.3977i | 0.260606 | + | 0.802063i | ||||
\(852\) | 31.5347 | + | 4.99460i | 1.08036 | + | 0.171112i | ||||
\(853\) | −35.6457 | − | 21.8437i | −1.22049 | − | 0.747914i | −0.245331 | − | 0.969439i | \(-0.578897\pi\) |
−0.975155 | + | 0.221525i | \(0.928897\pi\) | |||||||
\(854\) | 28.2797 | − | 9.18864i | 0.967712 | − | 0.314429i | ||||
\(855\) | 2.09834 | + | 26.6619i | 0.0717617 | + | 0.911819i | ||||
\(856\) | 57.4191 | − | 35.1865i | 1.96255 | − | 1.20265i | ||||
\(857\) | 36.1576 | + | 14.9770i | 1.23512 | + | 0.511603i | 0.902186 | − | 0.431347i | \(-0.141962\pi\) |
0.332933 | + | 0.942950i | \(0.391962\pi\) | |||||||
\(858\) | −4.82153 | − | 11.0395i | −0.164604 | − | 0.376883i | ||||
\(859\) | 10.9287 | − | 10.9287i | 0.372883 | − | 0.372883i | −0.495643 | − | 0.868526i | \(-0.665068\pi\) |
0.868526 | + | 0.495643i | \(0.165068\pi\) | |||||||
\(860\) | 46.9234 | + | 76.5720i | 1.60007 | + | 2.61109i | ||||
\(861\) | −13.0507 | − | 11.1463i | −0.444766 | − | 0.379866i | ||||
\(862\) | −14.2241 | − | 16.6543i | −0.484474 | − | 0.567247i | ||||
\(863\) | 27.0666 | + | 37.2540i | 0.921358 | + | 1.26814i | 0.963137 | + | 0.269013i | \(0.0866975\pi\) |
−0.0417789 | + | 0.999127i | \(0.513303\pi\) | |||||||
\(864\) | −29.5086 | − | 18.0829i | −1.00390 | − | 0.615192i | ||||
\(865\) | 7.92917 | − | 15.5619i | 0.269600 | − | 0.529119i | ||||
\(866\) | −19.5707 | + | 60.2324i | −0.665039 | + | 2.04678i | ||||
\(867\) | −12.3792 | + | 3.34047i | −0.420419 | + | 0.113448i | ||||
\(868\) | −12.4838 | −0.423729 | ||||||||
\(869\) | 10.2131 | + | 2.24674i | 0.346457 | + | 0.0762154i | ||||
\(870\) | −5.59985 | − | 13.5192i | −0.189853 | − | 0.458345i | ||||
\(871\) | −3.15454 | + | 4.34185i | −0.106888 | + | 0.147118i | ||||
\(872\) | 1.64959 | + | 20.9601i | 0.0558623 | + | 0.709798i | ||||
\(873\) | −33.4831 | − | 2.63517i | −1.13323 | − | 0.0891871i | ||||
\(874\) | 80.7978 | − | 19.3978i | 2.73303 | − | 0.656142i | ||||
\(875\) | 6.09032 | − | 38.4528i | 0.205891 | − | 1.29994i | ||||
\(876\) | −33.1244 | − | 16.8777i | −1.11917 | − | 0.570246i | ||||
\(877\) | 16.5792 | − | 19.4117i | 0.559839 | − | 0.655487i | −0.406230 | − | 0.913771i | \(-0.633157\pi\) |
0.966069 | + | 0.258284i | \(0.0831570\pi\) | |||||||
\(878\) | 16.5502 | − | 10.1420i | 0.558542 | − | 0.342275i | ||||
\(879\) | 13.6936 | − | 5.67207i | 0.461874 | − | 0.191314i | ||||
\(880\) | 32.2825 | − | 39.2922i | 1.08824 | − | 1.32454i | ||||
\(881\) | −5.55550 | − | 13.4122i | −0.187170 | − | 0.451867i | 0.802243 | − | 0.596998i | \(-0.203640\pi\) |
−0.989413 | + | 0.145130i | \(0.953640\pi\) | |||||||
\(882\) | −3.20616 | − | 20.2429i | −0.107957 | − | 0.681614i | ||||
\(883\) | −9.43193 | + | 29.0285i | −0.317410 | + | 0.976887i | 0.657341 | + | 0.753593i | \(0.271681\pi\) |
−0.974751 | + | 0.223294i | \(0.928319\pi\) | |||||||
\(884\) | 7.92069 | − | 35.1488i | 0.266402 | − | 1.18218i | ||||
\(885\) | −0.231024 | + | 0.167849i | −0.00776580 | + | 0.00564218i | ||||
\(886\) | 88.1504 | + | 13.9616i | 2.96147 | + | 0.469051i | ||||
\(887\) | 32.0345 | − | 27.3600i | 1.07561 | − | 0.918659i | 0.0786772 | − | 0.996900i | \(-0.474930\pi\) |
0.996934 | + | 0.0782410i | \(0.0249304\pi\) | |||||||
\(888\) | 23.8025 | + | 7.73390i | 0.798759 | + | 0.259533i | ||||
\(889\) | −57.9425 | − | 13.9108i | −1.94333 | − | 0.466552i | ||||
\(890\) | −15.3407 | + | 37.0357i | −0.514221 | + | 1.24144i | ||||
\(891\) | −12.5413 | − | 6.09153i | −0.420150 | − | 0.204074i | ||||
\(892\) | −62.9844 | + | 62.9844i | −2.10887 | + | 2.10887i | ||||
\(893\) | 60.9979 | − | 9.66112i | 2.04122 | − | 0.323297i | ||||
\(894\) | −3.95307 | + | 4.62845i | −0.132210 | + | 0.154799i | ||||
\(895\) | 35.0146 | + | 2.75571i | 1.17041 | + | 0.0921132i | ||||
\(896\) | 8.57720 | − | 13.9967i | 0.286544 | − | 0.467598i | ||||
\(897\) | 4.26639 | + | 5.87218i | 0.142450 | + | 0.196066i | ||||
\(898\) | −35.5176 | + | 30.3349i | −1.18524 | + | 1.01229i | ||||
\(899\) | 3.13083 | − | 1.59524i | 0.104419 | − | 0.0532041i | ||||
\(900\) | 17.1979 | + | 12.4950i | 0.573264 | + | 0.416501i | ||||
\(901\) | −3.08405 | − | 12.0986i | −0.102745 | − | 0.403063i | ||||
\(902\) | 15.3625 | + | 59.0054i | 0.511515 | + | 1.96467i | ||||
\(903\) | 18.4436 | + | 18.4436i | 0.613766 | + | 0.613766i | ||||
\(904\) | −29.9095 | + | 124.582i | −0.994776 | + | 4.14354i | ||||
\(905\) | −6.80914 | − | 2.21242i | −0.226344 | − | 0.0735435i | ||||
\(906\) | −7.04946 | − | 8.25386i | −0.234203 | − | 0.274216i | ||||
\(907\) | 2.14029 | + | 8.91494i | 0.0710671 | + | 0.296016i | 0.996573 | − | 0.0827173i | \(-0.0263599\pi\) |
−0.925506 | + | 0.378733i | \(0.876360\pi\) | |||||||
\(908\) | −31.3911 | + | 7.53633i | −1.04175 | + | 0.250102i | ||||
\(909\) | −17.9076 | − | 9.12439i | −0.593958 | − | 0.302637i | ||||
\(910\) | 12.4036 | + | 24.3434i | 0.411174 | + | 0.806975i | ||||
\(911\) | 13.1223 | + | 21.4136i | 0.434761 | + | 0.709465i | 0.992726 | − | 0.120399i | \(-0.0384175\pi\) |
−0.557965 | + | 0.829865i | \(0.688417\pi\) | |||||||
\(912\) | 15.5157 | − | 37.4582i | 0.513777 | − | 1.24037i | ||||
\(913\) | 23.1860 | + | 30.6647i | 0.767344 | + | 1.01485i | ||||
\(914\) | 44.1676i | 1.46094i | ||||||||
\(915\) | 1.11905 | − | 4.66117i | 0.0369946 | − | 0.154093i | ||||
\(916\) | −58.7481 | + | 29.9337i | −1.94109 | + | 0.989036i | ||||
\(917\) | −8.44574 | − | 25.9933i | −0.278903 | − | 0.858375i | ||||
\(918\) | 20.3828 | + | 38.6583i | 0.672733 | + | 1.27592i | ||||
\(919\) | 7.06358 | − | 5.13199i | 0.233006 | − | 0.169289i | −0.465156 | − | 0.885229i | \(-0.654002\pi\) |
0.698162 | + | 0.715940i | \(0.254002\pi\) | |||||||
\(920\) | −29.0022 | + | 56.9199i | −0.956173 | + | 1.87660i | ||||
\(921\) | 15.1884 | − | 1.19535i | 0.500473 | − | 0.0393881i | ||||
\(922\) | −44.3587 | + | 61.0545i | −1.46087 | + | 2.01072i | ||||
\(923\) | 15.5016 | − | 6.42099i | 0.510243 | − | 0.211350i | ||||
\(924\) | 16.4359 | − | 33.8384i | 0.540701 | − | 1.11320i | ||||
\(925\) | −8.18568 | − | 3.39062i | −0.269144 | − | 0.111483i | ||||
\(926\) | −78.2872 | + | 12.3995i | −2.57268 | + | 0.407472i | ||||
\(927\) | 14.8954 | + | 29.2338i | 0.489228 | + | 0.960165i | ||||
\(928\) | 2.80584 | − | 35.6516i | 0.0921064 | − | 1.17032i | ||||
\(929\) | −9.25503 | − | 38.5500i | −0.303648 | − | 1.26478i | −0.890460 | − | 0.455061i | \(-0.849617\pi\) |
0.586812 | − | 0.809723i | \(-0.300383\pi\) | |||||||
\(930\) | −1.49945 | + | 2.44688i | −0.0491689 | + | 0.0802363i | ||||
\(931\) | 19.2432 | − | 6.25250i | 0.630671 | − | 0.204917i | ||||
\(932\) | 106.507 | − | 8.38229i | 3.48875 | − | 0.274571i | ||||
\(933\) | −1.09470 | − | 6.91163i | −0.0358387 | − | 0.226277i | ||||
\(934\) | −1.40558 | −0.0459918 | ||||||||
\(935\) | −22.7776 | + | 8.24270i | −0.744906 | + | 0.269565i | ||||
\(936\) | −31.5565 | −1.03146 | ||||||||
\(937\) | −1.82654 | − | 11.5323i | −0.0596706 | − | 0.376745i | −0.999394 | − | 0.0348097i | \(-0.988917\pi\) |
0.939723 | − | 0.341936i | \(-0.111083\pi\) | |||||||
\(938\) | −23.8246 | + | 1.87504i | −0.777902 | + | 0.0612222i | ||||
\(939\) | −10.0809 | + | 3.27549i | −0.328978 | + | 0.106892i | ||||
\(940\) | −43.2161 | + | 70.5223i | −1.40955 | + | 2.30018i | ||||
\(941\) | −8.16794 | − | 34.0219i | −0.266267 | − | 1.10908i | −0.931875 | − | 0.362780i | \(-0.881827\pi\) |
0.665607 | − | 0.746302i | \(-0.268173\pi\) | |||||||
\(942\) | 2.36868 | − | 30.0969i | 0.0771757 | − | 0.980610i | ||||
\(943\) | −16.6787 | − | 32.7338i | −0.543133 | − | 1.06596i | ||||
\(944\) | −1.82733 | + | 0.289421i | −0.0594746 | + | 0.00941984i | ||||
\(945\) | −21.4710 | − | 8.89359i | −0.698452 | − | 0.289308i | ||||
\(946\) | −16.2396 | − | 91.2292i | −0.527994 | − | 2.96612i | ||||
\(947\) | −18.6377 | + | 7.72000i | −0.605644 | + | 0.250866i | −0.664365 | − | 0.747408i | \(-0.731298\pi\) |
0.0587205 | + | 0.998274i | \(0.481298\pi\) | |||||||
\(948\) | −6.56328 | + | 9.03358i | −0.213165 | + | 0.293397i | ||||
\(949\) | −19.4769 | + | 1.53287i | −0.632248 | + | 0.0497590i | ||||
\(950\) | −13.5859 | + | 26.6638i | −0.440784 | + | 0.865087i | ||||
\(951\) | −0.698762 | + | 0.507680i | −0.0226589 | + | 0.0164627i | ||||
\(952\) | 81.4706 | − | 42.9558i | 2.64048 | − | 1.39220i | ||||
\(953\) | 4.00682 | + | 12.3317i | 0.129794 | + | 0.399464i | 0.994744 | − | 0.102394i | \(-0.0326502\pi\) |
−0.864950 | + | 0.501858i | \(0.832650\pi\) | |||||||
\(954\) | −16.9730 | + | 8.64819i | −0.549522 | + | 0.279995i | ||||
\(955\) | −4.85708 | + | 20.2312i | −0.157171 | + | 0.654666i | ||||
\(956\) | 115.151i | 3.72424i | ||||||||
\(957\) | 0.202053 | + | 10.5866i | 0.00653145 | + | 0.342216i | ||||
\(958\) | −25.5451 | + | 61.6714i | −0.825326 | + | 1.99251i | ||||
\(959\) | 8.31740 | + | 13.5728i | 0.268583 | + | 0.438287i | ||||
\(960\) | 2.75942 | + | 5.41567i | 0.0890600 | + | 0.174790i | ||||
\(961\) | 27.0072 | + | 13.7609i | 0.871200 | + | 0.443899i | ||||
\(962\) | 22.2788 | − | 5.34866i | 0.718297 | − | 0.172448i | ||||
\(963\) | 5.47994 | + | 22.8256i | 0.176589 | + | 0.735544i | ||||
\(964\) | 0.642053 | + | 0.751748i | 0.0206791 | + | 0.0242122i | ||||
\(965\) | −44.0843 | − | 14.3239i | −1.41913 | − | 0.461102i | ||||
\(966\) | −7.54529 | + | 31.4284i | −0.242766 | + | 1.01119i | ||||
\(967\) | −20.5132 | − | 20.5132i | −0.659661 | − | 0.659661i | 0.295639 | − | 0.955300i | \(-0.404467\pi\) |
−0.955300 | + | 0.295639i | \(0.904467\pi\) | |||||||
\(968\) | −66.9782 | + | 37.4126i | −2.15276 | + | 1.20249i | ||||
\(969\) | −15.4642 | + | 11.5690i | −0.496782 | + | 0.371650i | ||||
\(970\) | 51.2285 | + | 37.2197i | 1.64485 | + | 1.19505i | ||||
\(971\) | −11.6068 | + | 5.91395i | −0.372479 | + | 0.189788i | −0.630202 | − | 0.776431i | \(-0.717028\pi\) |
0.257723 | + | 0.966219i | \(0.417028\pi\) | |||||||
\(972\) | 55.1972 | − | 47.1429i | 1.77045 | − | 1.51211i | ||||
\(973\) | −16.8804 | − | 23.2339i | −0.541162 | − | 0.744845i | ||||
\(974\) | −29.5893 | + | 48.2853i | −0.948102 | + | 1.54716i | ||||
\(975\) | −2.60599 | − | 0.205096i | −0.0834586 | − | 0.00656833i | ||||
\(976\) | 20.1699 | − | 23.6160i | 0.645624 | − | 0.755929i | ||||
\(977\) | 29.0094 | − | 4.59464i | 0.928093 | − | 0.146995i | 0.325953 | − | 0.945386i | \(-0.394315\pi\) |
0.602140 | + | 0.798391i | \(0.294315\pi\) | |||||||
\(978\) | −11.7552 | + | 11.7552i | −0.375889 | + | 0.375889i | ||||
\(979\) | 20.1160 | − | 20.8988i | 0.642910 | − | 0.667929i | ||||
\(980\) | −10.3700 | + | 25.0353i | −0.331256 | + | 0.799723i | ||||
\(981\) | −7.12631 | − | 1.71088i | −0.227526 | − | 0.0546241i | ||||
\(982\) | 14.5503 | + | 4.72769i | 0.464320 | + | 0.150867i | ||||
\(983\) | 27.1045 | − | 23.1495i | 0.864501 | − | 0.738353i | −0.102064 | − | 0.994778i | \(-0.532545\pi\) |
0.966564 | + | 0.256425i | \(0.0825445\pi\) | |||||||
\(984\) | −36.9134 | − | 5.84651i | −1.17676 | − | 0.186380i | ||||
\(985\) | 33.0222 | − | 23.9920i | 1.05218 | − | 0.764450i | ||||
\(986\) | −26.0308 | + | 36.9019i | −0.828989 | + | 1.17520i | ||||
\(987\) | −7.42335 | + | 22.8467i | −0.236288 | + | 0.727219i | ||||
\(988\) | −8.48964 | − | 53.6015i | −0.270092 | − | 1.70529i | ||||
\(989\) | 21.3663 | + | 51.5827i | 0.679408 | + | 1.64024i | ||||
\(990\) | 19.9080 | + | 31.1372i | 0.632718 | + | 0.989605i | ||||
\(991\) | −27.9090 | + | 11.5603i | −0.886557 | + | 0.367224i | −0.779036 | − | 0.626979i | \(-0.784291\pi\) |
−0.107521 | + | 0.994203i | \(0.534291\pi\) | |||||||
\(992\) | −5.97993 | + | 3.66451i | −0.189863 | + | 0.116348i | ||||
\(993\) | −12.1676 | + | 14.2464i | −0.386127 | + | 0.452097i | ||||
\(994\) | 66.5722 | + | 33.9202i | 2.11154 | + | 1.07588i | ||||
\(995\) | −0.0276354 | + | 0.174483i | −0.000876102 | + | 0.00553149i | ||||
\(996\) | −39.9151 | + | 9.58276i | −1.26476 | + | 0.303641i | ||||
\(997\) | −61.0256 | − | 4.80282i | −1.93270 | − | 0.152107i | −0.947071 | − | 0.321025i | \(-0.895973\pi\) |
−0.985630 | + | 0.168918i | \(0.945973\pi\) | |||||||
\(998\) | 2.66584 | + | 33.8727i | 0.0843856 | + | 1.07222i | ||||
\(999\) | −11.4556 | + | 15.7672i | −0.362438 | + | 0.498853i |
(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 | 187.2.r.a.15.1 | ✓ | 256 | |
11.3 | even | 5 | inner | 187.2.r.a.168.1 | yes | 256 | |
17.8 | even | 8 | inner | 187.2.r.a.59.1 | yes | 256 | |
187.25 | even | 40 | inner | 187.2.r.a.25.1 | yes | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
187.2.r.a.15.1 | ✓ | 256 | 1.1 | even | 1 | trivial | |
187.2.r.a.25.1 | yes | 256 | 187.25 | even | 40 | inner | |
187.2.r.a.59.1 | yes | 256 | 17.8 | even | 8 | inner | |
187.2.r.a.168.1 | yes | 256 | 11.3 | even | 5 | inner |