Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [168,2,Mod(5,168)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(168, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("168.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 168 = 2^{3} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 168.ba (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.34148675396\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 101.4 | ||
Character | \(\chi\) | \(=\) | 168.101 |
Dual form | 168.2.ba.c.5.4 |
$q$-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 \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(85\) | \(113\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.30261 | − | 0.550645i | −0.921084 | − | 0.389365i | ||||
\(3\) | −1.09218 | + | 1.34430i | −0.630570 | + | 0.776132i | ||||
\(4\) | 1.39358 | + | 1.43455i | 0.696790 | + | 0.717275i | ||||
\(5\) | −2.46958 | + | 1.42581i | −1.10443 | + | 0.637643i | −0.937381 | − | 0.348306i | \(-0.886757\pi\) |
−0.167049 | + | 0.985949i | \(0.553424\pi\) | |||||||
\(6\) | 2.16291 | − | 1.14970i | 0.883006 | − | 0.469361i | ||||
\(7\) | −1.02032 | − | 2.44110i | −0.385643 | − | 0.922648i | ||||
\(8\) | −1.02536 | − | 2.63603i | −0.362520 | − | 0.931976i | ||||
\(9\) | −0.614290 | − | 2.93643i | −0.204763 | − | 0.978812i | ||||
\(10\) | 4.00201 | − | 0.497414i | 1.26555 | − | 0.157296i | ||||
\(11\) | 2.42621 | − | 4.20231i | 0.731529 | − | 1.26705i | −0.224701 | − | 0.974428i | \(-0.572140\pi\) |
0.956230 | − | 0.292617i | \(-0.0945262\pi\) | |||||||
\(12\) | −3.45051 | + | 0.306605i | −0.996075 | + | 0.0885091i | ||||
\(13\) | −2.75221 | −0.763326 | −0.381663 | − | 0.924302i | \(-0.624649\pi\) | ||||
−0.381663 | + | 0.924302i | \(0.624649\pi\) | |||||||
\(14\) | −0.0151045 | + | 3.74163i | −0.00403685 | + | 0.999992i | ||||
\(15\) | 0.780502 | − | 4.87710i | 0.201525 | − | 1.25926i | ||||
\(16\) | −0.115871 | + | 3.99832i | −0.0289677 | + | 0.999580i | ||||
\(17\) | −1.75366 | + | 3.03743i | −0.425326 | + | 0.736686i | −0.996451 | − | 0.0841773i | \(-0.973174\pi\) |
0.571125 | + | 0.820863i | \(0.306507\pi\) | |||||||
\(18\) | −0.816754 | + | 4.16328i | −0.192511 | + | 0.981295i | ||||
\(19\) | −3.14493 | − | 5.44717i | −0.721496 | − | 1.24967i | −0.960400 | − | 0.278624i | \(-0.910122\pi\) |
0.238905 | − | 0.971043i | \(-0.423212\pi\) | |||||||
\(20\) | −5.48696 | − | 1.55575i | −1.22692 | − | 0.347877i | ||||
\(21\) | 4.39594 | + | 1.29450i | 0.959272 | + | 0.282484i | ||||
\(22\) | −5.47438 | + | 4.13799i | −1.16714 | + | 0.882223i | ||||
\(23\) | −3.15865 | + | 1.82365i | −0.658624 | + | 0.380257i | −0.791753 | − | 0.610842i | \(-0.790831\pi\) |
0.133128 | + | 0.991099i | \(0.457498\pi\) | |||||||
\(24\) | 4.66349 | + | 1.50062i | 0.951931 | + | 0.306313i | ||||
\(25\) | 1.56588 | − | 2.71219i | 0.313177 | − | 0.542438i | ||||
\(26\) | 3.58505 | + | 1.51549i | 0.703087 | + | 0.297212i | ||||
\(27\) | 4.61837 | + | 2.38132i | 0.888805 | + | 0.458286i | ||||
\(28\) | 2.07998 | − | 4.86556i | 0.393080 | − | 0.919504i | ||||
\(29\) | −3.90427 | −0.725005 | −0.362503 | − | 0.931983i | \(-0.618078\pi\) | ||||
−0.362503 | + | 0.931983i | \(0.618078\pi\) | |||||||
\(30\) | −3.70224 | + | 5.92318i | −0.675934 | + | 1.08142i | ||||
\(31\) | −0.858051 | − | 0.495396i | −0.154111 | − | 0.0889758i | 0.420962 | − | 0.907078i | \(-0.361693\pi\) |
−0.575072 | + | 0.818103i | \(0.695026\pi\) | |||||||
\(32\) | 2.35259 | − | 5.14445i | 0.415883 | − | 0.909418i | ||||
\(33\) | 2.99932 | + | 7.85123i | 0.522115 | + | 1.36672i | ||||
\(34\) | 3.95689 | − | 2.99094i | 0.678600 | − | 0.512942i | ||||
\(35\) | 6.00030 | + | 4.57370i | 1.01424 | + | 0.773097i | ||||
\(36\) | 3.35640 | − | 4.97339i | 0.559400 | − | 0.828898i | ||||
\(37\) | −1.06516 | + | 0.614970i | −0.175111 | + | 0.101100i | −0.584994 | − | 0.811038i | \(-0.698903\pi\) |
0.409883 | + | 0.912138i | \(0.365570\pi\) | |||||||
\(38\) | 1.09715 | + | 8.82727i | 0.177981 | + | 1.43197i | ||||
\(39\) | 3.00591 | − | 3.69980i | 0.481330 | − | 0.592442i | ||||
\(40\) | 6.29069 | + | 5.04791i | 0.994646 | + | 0.798144i | ||||
\(41\) | 2.10659 | 0.328995 | 0.164497 | − | 0.986378i | \(-0.447400\pi\) | ||||
0.164497 | + | 0.986378i | \(0.447400\pi\) | |||||||
\(42\) | −5.01338 | − | 4.10683i | −0.773581 | − | 0.633698i | ||||
\(43\) | 5.11768i | 0.780439i | 0.920722 | + | 0.390220i | \(0.127601\pi\) | ||||
−0.920722 | + | 0.390220i | \(0.872399\pi\) | |||||||
\(44\) | 9.40954 | − | 2.37574i | 1.41854 | − | 0.358157i | ||||
\(45\) | 5.70384 | + | 6.37590i | 0.850279 | + | 0.950463i | ||||
\(46\) | 5.11867 | − | 0.636204i | 0.754706 | − | 0.0938032i | ||||
\(47\) | −5.61268 | − | 9.72145i | −0.818693 | − | 1.41802i | −0.906645 | − | 0.421894i | \(-0.861365\pi\) |
0.0879518 | − | 0.996125i | \(-0.471968\pi\) | |||||||
\(48\) | −5.24840 | − | 4.52265i | −0.757541 | − | 0.652788i | ||||
\(49\) | −4.91791 | + | 4.98138i | −0.702558 | + | 0.711626i | ||||
\(50\) | −3.53319 | + | 2.67068i | −0.499668 | + | 0.377691i | ||||
\(51\) | −2.16791 | − | 5.67487i | −0.303568 | − | 0.794641i | ||||
\(52\) | −3.83543 | − | 3.94819i | −0.531878 | − | 0.547515i | ||||
\(53\) | 1.00417 | − | 1.73927i | 0.137933 | − | 0.238907i | −0.788781 | − | 0.614674i | \(-0.789288\pi\) |
0.926714 | + | 0.375767i | \(0.122621\pi\) | |||||||
\(54\) | −4.70466 | − | 5.64501i | −0.640223 | − | 0.768189i | ||||
\(55\) | 13.8373i | 1.86582i | ||||||||
\(56\) | −5.38860 | + | 5.19259i | −0.720082 | + | 0.693889i | ||||
\(57\) | 10.7575 | + | 1.72156i | 1.42486 | + | 0.228026i | ||||
\(58\) | 5.08574 | + | 2.14987i | 0.667791 | + | 0.282292i | ||||
\(59\) | 0.890996 | + | 0.514417i | 0.115998 | + | 0.0669714i | 0.556876 | − | 0.830595i | \(-0.312000\pi\) |
−0.440879 | + | 0.897567i | \(0.645333\pi\) | |||||||
\(60\) | 8.08414 | − | 5.67696i | 1.04366 | − | 0.732892i | ||||
\(61\) | −1.24347 | − | 2.15376i | −0.159211 | − | 0.275761i | 0.775374 | − | 0.631503i | \(-0.217562\pi\) |
−0.934584 | + | 0.355742i | \(0.884228\pi\) | |||||||
\(62\) | 0.844918 | + | 1.11779i | 0.107305 | + | 0.141959i | ||||
\(63\) | −6.54135 | + | 4.49563i | −0.824133 | + | 0.566397i | ||||
\(64\) | −5.89727 | + | 5.40576i | −0.737159 | + | 0.675720i | ||||
\(65\) | 6.79681 | − | 3.92414i | 0.843040 | − | 0.486729i | ||||
\(66\) | 0.416299 | − | 11.8786i | 0.0512429 | − | 1.46216i | ||||
\(67\) | −5.02777 | − | 2.90279i | −0.614240 | − | 0.354632i | 0.160383 | − | 0.987055i | \(-0.448727\pi\) |
−0.774623 | + | 0.632423i | \(0.782060\pi\) | |||||||
\(68\) | −6.80122 | + | 1.71719i | −0.824769 | + | 0.208240i | ||||
\(69\) | 0.998281 | − | 6.23793i | 0.120179 | − | 0.750958i | ||||
\(70\) | −5.29756 | − | 9.26178i | −0.633179 | − | 1.10699i | ||||
\(71\) | 9.75277i | 1.15744i | 0.815526 | + | 0.578720i | \(0.196448\pi\) | ||||
−0.815526 | + | 0.578720i | \(0.803552\pi\) | |||||||
\(72\) | −7.11065 | + | 4.63019i | −0.837998 | + | 0.545673i | ||||
\(73\) | 0.291019 | + | 0.168020i | 0.0340612 | + | 0.0196652i | 0.516934 | − | 0.856025i | \(-0.327073\pi\) |
−0.482873 | + | 0.875691i | \(0.660407\pi\) | |||||||
\(74\) | 1.72612 | − | 0.214540i | 0.200657 | − | 0.0249398i | ||||
\(75\) | 1.93577 | + | 5.06722i | 0.223524 | + | 0.585112i | ||||
\(76\) | 3.43154 | − | 12.1026i | 0.393624 | − | 1.38827i | ||||
\(77\) | −12.7338 | − | 1.63491i | −1.45115 | − | 0.186316i | ||||
\(78\) | −5.95280 | + | 3.16420i | −0.674022 | + | 0.358276i | ||||
\(79\) | −2.80082 | − | 4.85116i | −0.315117 | − | 0.545798i | 0.664346 | − | 0.747426i | \(-0.268710\pi\) |
−0.979462 | + | 0.201627i | \(0.935377\pi\) | |||||||
\(80\) | −5.41471 | − | 10.0394i | −0.605383 | − | 1.12244i | ||||
\(81\) | −8.24530 | + | 3.60764i | −0.916144 | + | 0.400849i | ||||
\(82\) | −2.74407 | − | 1.15999i | −0.303032 | − | 0.128099i | ||||
\(83\) | − | 0.138115i | − | 0.0151600i | −0.999971 | − | 0.00758002i | \(-0.997587\pi\) | ||
0.999971 | − | 0.00758002i | \(-0.00241282\pi\) | |||||||
\(84\) | 4.26906 | + | 8.11019i | 0.465793 | + | 0.884894i | ||||
\(85\) | − | 10.0016i | − | 1.08482i | ||||||
\(86\) | 2.81803 | − | 6.66634i | 0.303876 | − | 0.718850i | ||||
\(87\) | 4.26417 | − | 5.24852i | 0.457167 | − | 0.562700i | ||||
\(88\) | −13.5651 | − | 2.08666i | −1.44605 | − | 0.222438i | ||||
\(89\) | −0.580993 | − | 1.00631i | −0.0615852 | − | 0.106669i | 0.833589 | − | 0.552385i | \(-0.186282\pi\) |
−0.895174 | + | 0.445717i | \(0.852949\pi\) | |||||||
\(90\) | −3.91902 | − | 11.4461i | −0.413101 | − | 1.20652i | ||||
\(91\) | 2.80813 | + | 6.71841i | 0.294372 | + | 0.704281i | ||||
\(92\) | −7.01795 | − | 1.98985i | −0.731671 | − | 0.207456i | ||||
\(93\) | 1.60311 | − | 0.612418i | 0.166234 | − | 0.0635048i | ||||
\(94\) | 1.95806 | + | 15.7538i | 0.201958 | + | 1.62488i | ||||
\(95\) | 15.5333 | + | 8.96815i | 1.59368 | + | 0.920113i | ||||
\(96\) | 4.34623 | + | 8.78124i | 0.443585 | + | 0.896232i | ||||
\(97\) | 11.0953i | 1.12656i | 0.826266 | + | 0.563280i | \(0.190461\pi\) | ||||
−0.826266 | + | 0.563280i | \(0.809539\pi\) | |||||||
\(98\) | 9.14908 | − | 3.78077i | 0.924197 | − | 0.381916i | ||||
\(99\) | −13.8302 | − | 4.54296i | −1.38999 | − | 0.456585i | ||||
\(100\) | 6.07296 | − | 1.53331i | 0.607296 | − | 0.153331i | ||||
\(101\) | 6.16256 | + | 3.55796i | 0.613198 | + | 0.354030i | 0.774216 | − | 0.632922i | \(-0.218144\pi\) |
−0.161018 | + | 0.986951i | \(0.551478\pi\) | |||||||
\(102\) | −0.300901 | + | 8.58589i | −0.0297937 | + | 0.850130i | ||||
\(103\) | 1.50519 | − | 0.869021i | 0.148311 | − | 0.0856271i | −0.424008 | − | 0.905658i | \(-0.639377\pi\) |
0.572319 | + | 0.820031i | \(0.306044\pi\) | |||||||
\(104\) | 2.82201 | + | 7.25490i | 0.276721 | + | 0.711402i | ||||
\(105\) | −12.7018 | + | 3.07091i | −1.23957 | + | 0.299690i | ||||
\(106\) | −2.26576 | + | 1.71265i | −0.220070 | + | 0.166347i | ||||
\(107\) | −0.532028 | − | 0.921500i | −0.0514331 | − | 0.0890847i | 0.839163 | − | 0.543881i | \(-0.183046\pi\) |
−0.890596 | + | 0.454796i | \(0.849712\pi\) | |||||||
\(108\) | 3.01993 | + | 9.94384i | 0.290593 | + | 0.956847i | ||||
\(109\) | 7.85874 | + | 4.53725i | 0.752731 | + | 0.434589i | 0.826680 | − | 0.562673i | \(-0.190227\pi\) |
−0.0739489 | + | 0.997262i | \(0.523560\pi\) | |||||||
\(110\) | 7.61942 | − | 18.0245i | 0.726484 | − | 1.71857i | ||||
\(111\) | 0.336640 | − | 2.10355i | 0.0319524 | − | 0.199660i | ||||
\(112\) | 9.87851 | − | 3.79670i | 0.933432 | − | 0.358755i | ||||
\(113\) | − | 16.8126i | − | 1.58159i | −0.612078 | − | 0.790797i | \(-0.709666\pi\) | ||
0.612078 | − | 0.790797i | \(-0.290334\pi\) | |||||||
\(114\) | −13.0648 | − | 8.16606i | −1.22363 | − | 0.764822i | ||||
\(115\) | 5.20036 | − | 9.00729i | 0.484936 | − | 0.839934i | ||||
\(116\) | −5.44092 | − | 5.60088i | −0.505176 | − | 0.520028i | ||||
\(117\) | 1.69066 | + | 8.08169i | 0.156301 | + | 0.747152i | ||||
\(118\) | −0.877358 | − | 1.16071i | −0.0807674 | − | 0.106852i | ||||
\(119\) | 9.20396 | + | 1.18172i | 0.843726 | + | 0.108328i | ||||
\(120\) | −13.6565 | + | 2.94337i | −1.24666 | + | 0.268691i | ||||
\(121\) | −6.27296 | − | 10.8651i | −0.570269 | − | 0.987735i | ||||
\(122\) | 0.433803 | + | 3.49022i | 0.0392747 | + | 0.315990i | ||||
\(123\) | −2.30078 | + | 2.83190i | −0.207454 | + | 0.255343i | ||||
\(124\) | −0.485092 | − | 1.92129i | −0.0435626 | − | 0.172537i | ||||
\(125\) | − | 5.32750i | − | 0.476506i | ||||||
\(126\) | 10.9963 | − | 2.25409i | 0.979630 | − | 0.200810i | ||||
\(127\) | 15.6371 | 1.38756 | 0.693782 | − | 0.720185i | \(-0.255943\pi\) | ||||
0.693782 | + | 0.720185i | \(0.255943\pi\) | |||||||
\(128\) | 10.6585 | − | 3.79429i | 0.942086 | − | 0.335371i | ||||
\(129\) | −6.87971 | − | 5.58943i | −0.605724 | − | 0.492122i | ||||
\(130\) | −11.0144 | + | 1.36899i | −0.966026 | + | 0.120068i | ||||
\(131\) | 8.73260 | − | 5.04177i | 0.762971 | − | 0.440502i | −0.0673904 | − | 0.997727i | \(-0.521467\pi\) |
0.830361 | + | 0.557225i | \(0.188134\pi\) | |||||||
\(132\) | −7.08319 | + | 15.2440i | −0.616513 | + | 1.32682i | ||||
\(133\) | −10.0883 | + | 13.2349i | −0.874763 | + | 1.14761i | ||||
\(134\) | 4.95082 | + | 6.54971i | 0.427685 | + | 0.565809i | ||||
\(135\) | −14.8007 | + | 0.704060i | −1.27385 | + | 0.0605958i | ||||
\(136\) | 9.80489 | + | 1.50824i | 0.840763 | + | 0.129330i | ||||
\(137\) | −17.0704 | − | 9.85557i | −1.45842 | − | 0.842019i | −0.459485 | − | 0.888185i | \(-0.651966\pi\) |
−0.998934 | + | 0.0461669i | \(0.985299\pi\) | |||||||
\(138\) | −4.73525 | + | 7.57588i | −0.403091 | + | 0.644902i | ||||
\(139\) | 0.111832 | 0.00948546 | 0.00474273 | − | 0.999989i | \(-0.498490\pi\) | ||||
0.00474273 | + | 0.999989i | \(0.498490\pi\) | |||||||
\(140\) | 1.80069 | + | 14.9816i | 0.152186 | + | 1.26617i | ||||
\(141\) | 19.1986 | + | 3.07243i | 1.61681 | + | 0.258745i | ||||
\(142\) | 5.37032 | − | 12.7040i | 0.450667 | − | 1.06610i | ||||
\(143\) | −6.67743 | + | 11.5657i | −0.558395 | + | 0.967169i | ||||
\(144\) | 11.8120 | − | 2.11588i | 0.984332 | − | 0.176323i | ||||
\(145\) | 9.64192 | − | 5.56676i | 0.800718 | − | 0.462295i | ||||
\(146\) | −0.286564 | − | 0.379112i | −0.0237162 | − | 0.0313755i | ||||
\(147\) | −1.32524 | − | 12.0517i | −0.109304 | − | 0.994008i | ||||
\(148\) | −2.36659 | − | 0.671015i | −0.194532 | − | 0.0551571i | ||||
\(149\) | 5.49834 | + | 9.52340i | 0.450441 | + | 0.780187i | 0.998413 | − | 0.0563094i | \(-0.0179333\pi\) |
−0.547972 | + | 0.836497i | \(0.684600\pi\) | |||||||
\(150\) | 0.268681 | − | 7.66653i | 0.0219377 | − | 0.625969i | ||||
\(151\) | 4.16727 | − | 7.21792i | 0.339127 | − | 0.587386i | −0.645141 | − | 0.764063i | \(-0.723202\pi\) |
0.984269 | + | 0.176677i | \(0.0565349\pi\) | |||||||
\(152\) | −11.1342 | + | 13.8754i | −0.903103 | + | 1.12545i | ||||
\(153\) | 9.99648 | + | 3.28365i | 0.808168 | + | 0.265468i | ||||
\(154\) | 15.6868 | + | 9.14143i | 1.26408 | + | 0.736638i | ||||
\(155\) | 2.82537 | 0.226939 | ||||||||
\(156\) | 9.49652 | − | 0.843840i | 0.760330 | − | 0.0675613i | ||||
\(157\) | 5.42198 | − | 9.39114i | 0.432721 | − | 0.749495i | −0.564386 | − | 0.825511i | \(-0.690887\pi\) |
0.997107 | + | 0.0760165i | \(0.0242202\pi\) | |||||||
\(158\) | 0.977103 | + | 7.86142i | 0.0777342 | + | 0.625421i | ||||
\(159\) | 1.24137 | + | 3.24949i | 0.0984470 | + | 0.257702i | ||||
\(160\) | 1.52510 | + | 16.0590i | 0.120570 | + | 1.26957i | ||||
\(161\) | 7.67452 | + | 5.84987i | 0.604837 | + | 0.461035i | ||||
\(162\) | 12.7269 | − | 0.159116i | 0.999922 | − | 0.0125014i | ||||
\(163\) | −10.0621 | + | 5.80934i | −0.788122 | + | 0.455022i | −0.839301 | − | 0.543667i | \(-0.817035\pi\) |
0.0511792 | + | 0.998689i | \(0.483702\pi\) | |||||||
\(164\) | 2.93571 | + | 3.02202i | 0.229240 | + | 0.235980i | ||||
\(165\) | −18.6014 | − | 15.1128i | −1.44812 | − | 1.17653i | ||||
\(166\) | −0.0760521 | + | 0.179909i | −0.00590279 | + | 0.0139637i | ||||
\(167\) | 7.75061 | 0.599761 | 0.299880 | − | 0.953977i | \(-0.403053\pi\) | ||||
0.299880 | + | 0.953977i | \(0.403053\pi\) | |||||||
\(168\) | −1.09508 | − | 12.9151i | −0.0844874 | − | 0.996425i | ||||
\(169\) | −5.42533 | −0.417333 | ||||||||
\(170\) | −5.50732 | + | 13.0281i | −0.422392 | + | 0.999213i | ||||
\(171\) | −14.0634 | + | 12.5810i | −1.07545 | + | 0.962094i | ||||
\(172\) | −7.34158 | + | 7.13190i | −0.559790 | + | 0.543802i | ||||
\(173\) | 0.880487 | − | 0.508349i | 0.0669422 | − | 0.0386491i | −0.466155 | − | 0.884703i | \(-0.654361\pi\) |
0.533098 | + | 0.846054i | \(0.321028\pi\) | |||||||
\(174\) | −8.44461 | + | 4.48872i | −0.640184 | + | 0.340289i | ||||
\(175\) | −8.21842 | − | 1.05518i | −0.621254 | − | 0.0797642i | ||||
\(176\) | 16.5211 | + | 10.1877i | 1.24532 | + | 0.767925i | ||||
\(177\) | −1.66466 | + | 0.635932i | −0.125123 | + | 0.0477996i | ||||
\(178\) | 0.202687 | + | 1.63075i | 0.0151921 | + | 0.122230i | ||||
\(179\) | −10.8103 | + | 18.7240i | −0.808002 | + | 1.39950i | 0.106244 | + | 0.994340i | \(0.466117\pi\) |
−0.914246 | + | 0.405160i | \(0.867216\pi\) | |||||||
\(180\) | −1.19779 | + | 17.0678i | −0.0892778 | + | 1.27216i | ||||
\(181\) | 9.37049 | 0.696503 | 0.348251 | − | 0.937401i | \(-0.386776\pi\) | ||||
0.348251 | + | 0.937401i | \(0.386776\pi\) | |||||||
\(182\) | 0.0415708 | − | 10.2977i | 0.00308144 | − | 0.763320i | ||||
\(183\) | 4.25340 | + | 0.680689i | 0.314420 | + | 0.0503180i | ||||
\(184\) | 8.04594 | + | 6.45639i | 0.593155 | + | 0.475971i | ||||
\(185\) | 1.75366 | − | 3.03743i | 0.128932 | − | 0.223317i | ||||
\(186\) | −2.42545 | − | 0.0850023i | −0.177842 | − | 0.00623267i | ||||
\(187\) | 8.50950 | + | 14.7389i | 0.622276 | + | 1.07781i | ||||
\(188\) | 6.12419 | − | 21.5993i | 0.446652 | − | 1.57529i | ||||
\(189\) | 1.10084 | − | 13.7036i | 0.0800744 | − | 0.996789i | ||||
\(190\) | −15.2955 | − | 20.2353i | −1.10966 | − | 1.46803i | ||||
\(191\) | −7.70657 | + | 4.44939i | −0.557628 | + | 0.321947i | −0.752193 | − | 0.658943i | \(-0.771004\pi\) |
0.194565 | + | 0.980890i | \(0.437671\pi\) | |||||||
\(192\) | −0.826091 | − | 13.8318i | −0.0596180 | − | 0.998221i | ||||
\(193\) | 7.45779 | − | 12.9173i | 0.536824 | − | 0.929806i | −0.462249 | − | 0.886750i | \(-0.652957\pi\) |
0.999073 | − | 0.0430556i | \(-0.0137093\pi\) | |||||||
\(194\) | 6.10958 | − | 14.4529i | 0.438643 | − | 1.03766i | ||||
\(195\) | −2.14811 | + | 13.4228i | −0.153829 | + | 0.961228i | ||||
\(196\) | −13.9995 | − | 0.113031i | −0.999967 | − | 0.00807364i | ||||
\(197\) | −2.74394 | −0.195497 | −0.0977487 | − | 0.995211i | \(-0.531164\pi\) | ||||
−0.0977487 | + | 0.995211i | \(0.531164\pi\) | |||||||
\(198\) | 15.5138 | + | 13.5332i | 1.10252 | + | 0.961765i | ||||
\(199\) | −20.1826 | − | 11.6525i | −1.43071 | − | 0.826021i | −0.433535 | − | 0.901137i | \(-0.642734\pi\) |
−0.997175 | + | 0.0751162i | \(0.976067\pi\) | |||||||
\(200\) | −8.75500 | − | 1.34674i | −0.619072 | − | 0.0952287i | ||||
\(201\) | 9.39344 | − | 3.58848i | 0.662562 | − | 0.253112i | ||||
\(202\) | −6.06823 | − | 8.02801i | −0.426959 | − | 0.564849i | ||||
\(203\) | 3.98360 | + | 9.53071i | 0.279594 | + | 0.668925i | ||||
\(204\) | 5.11973 | − | 11.0184i | 0.358453 | − | 0.771440i | ||||
\(205\) | −5.20240 | + | 3.00361i | −0.363352 | + | 0.209781i | ||||
\(206\) | −2.43919 | + | 0.303170i | −0.169947 | + | 0.0211228i | ||||
\(207\) | 7.29535 | + | 8.15492i | 0.507062 | + | 0.566806i | ||||
\(208\) | 0.318901 | − | 11.0042i | 0.0221118 | − | 0.763006i | ||||
\(209\) | −30.5210 | −2.11118 | ||||||||
\(210\) | 18.2365 | + | 2.99401i | 1.25844 | + | 0.206607i | ||||
\(211\) | − | 20.3918i | − | 1.40383i | −0.712259 | − | 0.701916i | \(-0.752328\pi\) | ||
0.712259 | − | 0.701916i | \(-0.247672\pi\) | |||||||
\(212\) | 3.89445 | − | 0.983280i | 0.267472 | − | 0.0675320i | ||||
\(213\) | −13.1107 | − | 10.6518i | −0.898328 | − | 0.729847i | ||||
\(214\) | 0.185605 | + | 1.49331i | 0.0126877 | + | 0.102081i | ||||
\(215\) | −7.29686 | − | 12.6385i | −0.497642 | − | 0.861941i | ||||
\(216\) | 1.54173 | − | 14.6158i | 0.104902 | − | 0.994483i | ||||
\(217\) | −0.333826 | + | 2.60005i | −0.0226616 | + | 0.176503i | ||||
\(218\) | −7.73845 | − | 10.2376i | −0.524114 | − | 0.693380i | ||||
\(219\) | −0.543714 | + | 0.207709i | −0.0367408 | + | 0.0140357i | ||||
\(220\) | −19.8503 | + | 19.2833i | −1.33830 | + | 1.30008i | ||||
\(221\) | 4.82645 | − | 8.35966i | 0.324662 | − | 0.562332i | ||||
\(222\) | −1.59682 | + | 2.55473i | −0.107172 | + | 0.171463i | ||||
\(223\) | − | 11.4666i | − | 0.767860i | −0.923362 | − | 0.383930i | \(-0.874570\pi\) | ||
0.923362 | − | 0.383930i | \(-0.125430\pi\) | |||||||
\(224\) | −14.9585 | − | 0.493938i | −0.999455 | − | 0.0330026i | ||||
\(225\) | −8.92608 | − | 2.93204i | −0.595072 | − | 0.195470i | ||||
\(226\) | −9.25776 | + | 21.9002i | −0.615817 | + | 1.45678i | ||||
\(227\) | −18.3699 | − | 10.6059i | −1.21926 | − | 0.703938i | −0.254497 | − | 0.967073i | \(-0.581910\pi\) |
−0.964759 | + | 0.263136i | \(0.915243\pi\) | |||||||
\(228\) | 12.5217 | + | 17.8313i | 0.829271 | + | 1.18090i | ||||
\(229\) | −1.13465 | − | 1.96528i | −0.0749800 | − | 0.129869i | 0.826098 | − | 0.563527i | \(-0.190556\pi\) |
−0.901078 | + | 0.433658i | \(0.857223\pi\) | |||||||
\(230\) | −11.7339 | + | 8.86942i | −0.773707 | + | 0.584832i | ||||
\(231\) | 16.1054 | − | 15.3324i | 1.05965 | − | 1.00880i | ||||
\(232\) | 4.00329 | + | 10.2918i | 0.262829 | + | 0.675688i | ||||
\(233\) | 22.5624 | − | 13.0264i | 1.47811 | − | 0.853389i | 0.478420 | − | 0.878131i | \(-0.341210\pi\) |
0.999694 | + | 0.0247423i | \(0.00787651\pi\) | |||||||
\(234\) | 2.24788 | − | 11.4582i | 0.146949 | − | 0.749048i | ||||
\(235\) | 27.7219 | + | 16.0053i | 1.80838 | + | 1.04407i | ||||
\(236\) | 0.503717 | + | 1.99506i | 0.0327892 | + | 0.129867i | ||||
\(237\) | 9.58042 | + | 1.53319i | 0.622315 | + | 0.0995916i | ||||
\(238\) | −11.3385 | − | 6.60743i | −0.734963 | − | 0.428296i | ||||
\(239\) | 8.32874i | 0.538742i | 0.963037 | + | 0.269371i | \(0.0868157\pi\) | ||||
−0.963037 | + | 0.269371i | \(0.913184\pi\) | |||||||
\(240\) | 19.4098 | + | 3.68581i | 1.25290 | + | 0.237918i | ||||
\(241\) | 6.24112 | + | 3.60331i | 0.402026 | + | 0.232110i | 0.687358 | − | 0.726319i | \(-0.258771\pi\) |
−0.285332 | + | 0.958429i | \(0.592104\pi\) | |||||||
\(242\) | 2.18841 | + | 17.6071i | 0.140676 | + | 1.13183i | ||||
\(243\) | 4.15558 | − | 15.0244i | 0.266581 | − | 0.963813i | ||||
\(244\) | 1.35680 | − | 4.78527i | 0.0868601 | − | 0.306345i | ||||
\(245\) | 5.04265 | − | 19.3139i | 0.322163 | − | 1.23392i | ||||
\(246\) | 4.55638 | − | 2.42194i | 0.290504 | − | 0.154417i | ||||
\(247\) | 8.65550 | + | 14.9918i | 0.550736 | + | 0.953904i | ||||
\(248\) | −0.426065 | + | 2.76981i | −0.0270551 | + | 0.175883i | ||||
\(249\) | 0.185668 | + | 0.150846i | 0.0117662 | + | 0.00955947i | ||||
\(250\) | −2.93356 | + | 6.93965i | −0.185535 | + | 0.438902i | ||||
\(251\) | − | 8.41270i | − | 0.531005i | −0.964110 | − | 0.265502i | \(-0.914462\pi\) | ||
0.964110 | − | 0.265502i | \(-0.0855378\pi\) | |||||||
\(252\) | −15.5651 | − | 3.11887i | −0.980510 | − | 0.196471i | ||||
\(253\) | 17.6982i | 1.11268i | ||||||||
\(254\) | −20.3690 | − | 8.61047i | −1.27806 | − | 0.540269i | ||||
\(255\) | 13.4451 | + | 10.9235i | 0.841967 | + | 0.684057i | ||||
\(256\) | −15.9731 | − | 0.926576i | −0.998322 | − | 0.0579110i | ||||
\(257\) | 15.1284 | + | 26.2032i | 0.943685 | + | 1.63451i | 0.758364 | + | 0.651832i | \(0.225999\pi\) |
0.185321 | + | 0.982678i | \(0.440668\pi\) | |||||||
\(258\) | 5.88378 | + | 11.0691i | 0.366308 | + | 0.689133i | ||||
\(259\) | 2.58800 | + | 1.97269i | 0.160810 | + | 0.122577i | ||||
\(260\) | 15.1013 | + | 4.28176i | 0.936541 | + | 0.265544i | ||||
\(261\) | 2.39836 | + | 11.4646i | 0.148454 | + | 0.709644i | ||||
\(262\) | −14.1514 | + | 1.75889i | −0.874276 | + | 0.108665i | ||||
\(263\) | −20.9078 | − | 12.0711i | −1.28923 | − | 0.744338i | −0.310714 | − | 0.950504i | \(-0.600568\pi\) |
−0.978517 | + | 0.206166i | \(0.933901\pi\) | |||||||
\(264\) | 17.6207 | − | 15.9566i | 1.08448 | − | 0.982063i | ||||
\(265\) | 5.72701i | 0.351808i | ||||||||
\(266\) | 20.4288 | − | 11.6849i | 1.25257 | − | 0.716445i | ||||
\(267\) | 1.98733 | + | 0.318041i | 0.121623 | + | 0.0194638i | ||||
\(268\) | −2.84241 | − | 11.2579i | −0.173628 | − | 0.687683i | ||||
\(269\) | −17.4083 | − | 10.0507i | −1.06140 | − | 0.612800i | −0.135581 | − | 0.990766i | \(-0.543290\pi\) |
−0.925819 | + | 0.377966i | \(0.876623\pi\) | |||||||
\(270\) | 19.6673 | + | 7.23284i | 1.19691 | + | 0.440177i | ||||
\(271\) | −1.57903 | + | 0.911656i | −0.0959195 | + | 0.0553791i | −0.547192 | − | 0.837007i | \(-0.684303\pi\) |
0.451273 | + | 0.892386i | \(0.350970\pi\) | |||||||
\(272\) | −11.9414 | − | 7.36366i | −0.724056 | − | 0.446487i | ||||
\(273\) | −12.0985 | − | 3.56274i | −0.732237 | − | 0.215627i | ||||
\(274\) | 16.8091 | + | 22.2377i | 1.01547 | + | 1.34343i | ||||
\(275\) | −7.59832 | − | 13.1607i | −0.458196 | − | 0.793618i | ||||
\(276\) | 10.3398 | − | 7.26096i | 0.622383 | − | 0.437059i | ||||
\(277\) | 11.4072 | + | 6.58598i | 0.685395 | + | 0.395713i | 0.801885 | − | 0.597479i | \(-0.203831\pi\) |
−0.116490 | + | 0.993192i | \(0.537164\pi\) | |||||||
\(278\) | −0.145673 | − | 0.0615797i | −0.00873690 | − | 0.00369331i | ||||
\(279\) | −0.927606 | + | 2.82393i | −0.0555343 | + | 0.169064i | ||||
\(280\) | 5.90393 | − | 20.5066i | 0.352827 | − | 1.22551i | ||||
\(281\) | 15.3821i | 0.917618i | 0.888535 | + | 0.458809i | \(0.151724\pi\) | ||||
−0.888535 | + | 0.458809i | \(0.848276\pi\) | |||||||
\(282\) | −23.3164 | − | 14.5738i | −1.38847 | − | 0.867857i | ||||
\(283\) | 4.64882 | − | 8.05200i | 0.276344 | − | 0.478641i | −0.694129 | − | 0.719850i | \(-0.744210\pi\) |
0.970473 | + | 0.241209i | \(0.0775438\pi\) | |||||||
\(284\) | −13.9908 | + | 13.5913i | −0.830204 | + | 0.806493i | ||||
\(285\) | −29.0210 | + | 11.0866i | −1.71906 | + | 0.656713i | ||||
\(286\) | 15.0667 | − | 11.3886i | 0.890910 | − | 0.673424i | ||||
\(287\) | −2.14939 | − | 5.14240i | −0.126875 | − | 0.303546i | ||||
\(288\) | −16.5515 | − | 3.74805i | −0.975306 | − | 0.220856i | ||||
\(289\) | 2.34933 | + | 4.06916i | 0.138196 | + | 0.239362i | ||||
\(290\) | −15.6250 | + | 1.94204i | −0.917529 | + | 0.114041i | ||||
\(291\) | −14.9154 | − | 12.1181i | −0.874359 | − | 0.710374i | ||||
\(292\) | 0.164525 | + | 0.651630i | 0.00962810 | + | 0.0381338i | ||||
\(293\) | 17.8462i | 1.04258i | 0.853378 | + | 0.521292i | \(0.174550\pi\) | ||||
−0.853378 | + | 0.521292i | \(0.825450\pi\) | |||||||
\(294\) | −4.90994 | + | 16.4284i | −0.286354 | + | 0.958124i | ||||
\(295\) | −2.93385 | −0.170815 | ||||||||
\(296\) | 2.71325 | + | 2.17722i | 0.157704 | + | 0.126548i | ||||
\(297\) | 21.2122 | − | 13.6302i | 1.23086 | − | 0.790907i | ||||
\(298\) | −1.91817 | − | 15.4329i | −0.111117 | − | 0.894004i | ||||
\(299\) | 8.69327 | − | 5.01906i | 0.502745 | − | 0.290260i | ||||
\(300\) | −4.57152 | + | 9.83854i | −0.263937 | + | 0.568028i | ||||
\(301\) | 12.4928 | − | 5.22166i | 0.720071 | − | 0.300971i | ||||
\(302\) | −9.40283 | + | 7.10744i | −0.541072 | + | 0.408987i | ||||
\(303\) | −11.5136 | + | 4.39841i | −0.661438 | + | 0.252682i | ||||
\(304\) | 22.1440 | − | 11.9433i | 1.27004 | − | 0.684993i | ||||
\(305\) | 6.14172 | + | 3.54592i | 0.351674 | + | 0.203039i | ||||
\(306\) | −11.2134 | − | 9.78183i | −0.641026 | − | 0.559190i | ||||
\(307\) | −17.6654 | −1.00822 | −0.504110 | − | 0.863640i | \(-0.668179\pi\) | ||||
−0.504110 | + | 0.863640i | \(0.668179\pi\) | |||||||
\(308\) | −15.4001 | − | 20.5456i | −0.877504 | − | 1.17069i | ||||
\(309\) | −0.475709 | + | 2.97255i | −0.0270622 | + | 0.169103i | ||||
\(310\) | −3.68035 | − | 1.55578i | −0.209030 | − | 0.0883621i | ||||
\(311\) | 4.15091 | − | 7.18958i | 0.235376 | − | 0.407684i | −0.724006 | − | 0.689794i | \(-0.757701\pi\) |
0.959382 | + | 0.282110i | \(0.0910344\pi\) | |||||||
\(312\) | −12.8349 | − | 4.13002i | −0.726634 | − | 0.233816i | ||||
\(313\) | −23.0954 | + | 13.3342i | −1.30543 | + | 0.753691i | −0.981330 | − | 0.192332i | \(-0.938395\pi\) |
−0.324101 | + | 0.946023i | \(0.605062\pi\) | |||||||
\(314\) | −12.2339 | + | 9.24740i | −0.690399 | + | 0.521861i | ||||
\(315\) | 9.74446 | − | 20.4291i | 0.549038 | − | 1.15105i | ||||
\(316\) | 3.05607 | − | 10.7784i | 0.171917 | − | 0.606332i | ||||
\(317\) | 14.4097 | + | 24.9584i | 0.809331 | + | 1.40180i | 0.913328 | + | 0.407225i | \(0.133504\pi\) |
−0.103996 | + | 0.994578i | \(0.533163\pi\) | |||||||
\(318\) | 0.172299 | − | 4.91637i | 0.00966207 | − | 0.275696i | ||||
\(319\) | −9.47258 | + | 16.4070i | −0.530362 | + | 0.918615i | ||||
\(320\) | 6.85618 | − | 21.7584i | 0.383272 | − | 1.21633i | ||||
\(321\) | 1.81984 | + | 0.291237i | 0.101574 | + | 0.0162553i | ||||
\(322\) | −6.77570 | − | 11.8460i | −0.377595 | − | 0.660154i | ||||
\(323\) | 22.0606 | 1.22748 | ||||||||
\(324\) | −16.6658 | − | 6.80075i | −0.925879 | − | 0.377820i | ||||
\(325\) | −4.30964 | + | 7.46452i | −0.239056 | + | 0.414057i | ||||
\(326\) | 16.3058 | − | 2.02666i | 0.903096 | − | 0.112247i | ||||
\(327\) | −14.6826 | + | 5.60903i | −0.811948 | + | 0.310180i | ||||
\(328\) | −2.16002 | − | 5.55304i | −0.119267 | − | 0.306615i | ||||
\(329\) | −18.0043 | + | 23.6200i | −0.992608 | + | 1.30222i | ||||
\(330\) | 15.9086 | + | 29.9288i | 0.875742 | + | 1.64753i | ||||
\(331\) | −2.24514 | + | 1.29623i | −0.123404 | + | 0.0712472i | −0.560431 | − | 0.828201i | \(-0.689365\pi\) |
0.437027 | + | 0.899448i | \(0.356031\pi\) | |||||||
\(332\) | 0.198132 | − | 0.192474i | 0.0108739 | − | 0.0105634i | ||||
\(333\) | 2.46013 | + | 2.75000i | 0.134815 | + | 0.150699i | ||||
\(334\) | −10.0960 | − | 4.26784i | −0.552430 | − | 0.233526i | ||||
\(335\) | 16.5553 | 0.904513 | ||||||||
\(336\) | −5.68520 | + | 17.4264i | −0.310153 | + | 0.950687i | ||||
\(337\) | 11.1713 | 0.608541 | 0.304271 | − | 0.952586i | \(-0.401587\pi\) | ||||
0.304271 | + | 0.952586i | \(0.401587\pi\) | |||||||
\(338\) | 7.06709 | + | 2.98743i | 0.384399 | + | 0.162495i | ||||
\(339\) | 22.6012 | + | 18.3623i | 1.22753 | + | 0.997306i | ||||
\(340\) | 14.3478 | − | 13.9380i | 0.778117 | − | 0.755894i | ||||
\(341\) | −4.16362 | + | 2.40387i | −0.225473 | + | 0.130177i | ||||
\(342\) | 25.2467 | − | 8.64421i | 1.36519 | − | 0.467426i | ||||
\(343\) | 17.1779 | + | 6.92250i | 0.927517 | + | 0.373780i | ||||
\(344\) | 13.4903 | − | 5.24747i | 0.727351 | − | 0.282925i | ||||
\(345\) | 6.42878 | + | 16.8284i | 0.346114 | + | 0.906012i | ||||
\(346\) | −1.42685 | + | 0.177345i | −0.0767079 | + | 0.00953410i | ||||
\(347\) | −7.23643 | + | 12.5339i | −0.388472 | + | 0.672853i | −0.992244 | − | 0.124304i | \(-0.960330\pi\) |
0.603772 | + | 0.797157i | \(0.293664\pi\) | |||||||
\(348\) | 13.4717 | − | 1.19707i | 0.722160 | − | 0.0641696i | ||||
\(349\) | −22.8018 | −1.22055 | −0.610275 | − | 0.792189i | \(-0.708941\pi\) | ||||
−0.610275 | + | 0.792189i | \(0.708941\pi\) | |||||||
\(350\) | 10.1244 | + | 5.89992i | 0.541169 | + | 0.315364i | ||||
\(351\) | −12.7107 | − | 6.55390i | −0.678448 | − | 0.349821i | ||||
\(352\) | −15.9107 | − | 22.3678i | −0.848043 | − | 1.19221i | ||||
\(353\) | −2.06060 | + | 3.56907i | −0.109675 | + | 0.189962i | −0.915639 | − | 0.402003i | \(-0.868314\pi\) |
0.805964 | + | 0.591965i | \(0.201648\pi\) | |||||||
\(354\) | 2.51857 | + | 0.0882660i | 0.133861 | + | 0.00469128i | ||||
\(355\) | −13.9056 | − | 24.0852i | −0.738034 | − | 1.27831i | ||||
\(356\) | 0.633942 | − | 2.23584i | 0.0335989 | − | 0.118499i | ||||
\(357\) | −11.6410 | + | 11.0822i | −0.616105 | + | 0.586535i | ||||
\(358\) | 24.3919 | − | 18.4374i | 1.28915 | − | 0.974449i | ||||
\(359\) | 9.83790 | − | 5.67992i | 0.519225 | − | 0.299775i | −0.217393 | − | 0.976084i | \(-0.569755\pi\) |
0.736617 | + | 0.676310i | \(0.236422\pi\) | |||||||
\(360\) | 10.9585 | − | 21.5731i | 0.577566 | − | 1.13700i | ||||
\(361\) | −10.2811 | + | 17.8074i | −0.541112 | + | 0.937234i | ||||
\(362\) | −12.2061 | − | 5.15981i | −0.641537 | − | 0.271194i | ||||
\(363\) | 21.4571 | + | 3.43387i | 1.12621 | + | 0.180232i | ||||
\(364\) | −5.72456 | + | 13.3910i | −0.300048 | + | 0.701882i | ||||
\(365\) | −0.958259 | −0.0501576 | ||||||||
\(366\) | −5.16570 | − | 3.22879i | −0.270015 | − | 0.168771i | ||||
\(367\) | 24.2527 | + | 14.0023i | 1.26598 | + | 0.730914i | 0.974225 | − | 0.225580i | \(-0.0724275\pi\) |
0.291755 | + | 0.956493i | \(0.405761\pi\) | |||||||
\(368\) | −6.92553 | − | 12.8406i | −0.361018 | − | 0.669363i | ||||
\(369\) | −1.29406 | − | 6.18587i | −0.0673660 | − | 0.322024i | ||||
\(370\) | −3.95689 | + | 2.99094i | −0.205709 | + | 0.155492i | ||||
\(371\) | −5.27029 | − | 0.676664i | −0.273620 | − | 0.0351306i | ||||
\(372\) | 3.11260 | + | 1.44629i | 0.161381 | + | 0.0749864i | ||||
\(373\) | 27.1273 | − | 15.6619i | 1.40460 | − | 0.810944i | 0.409737 | − | 0.912204i | \(-0.365621\pi\) |
0.994860 | + | 0.101259i | \(0.0322872\pi\) | |||||||
\(374\) | −2.96865 | − | 23.8847i | −0.153505 | − | 1.23505i | ||||
\(375\) | 7.16176 | + | 5.81858i | 0.369832 | + | 0.300470i | ||||
\(376\) | −19.8710 | + | 24.7632i | −1.02477 | + | 1.27706i | ||||
\(377\) | 10.7454 | 0.553416 | ||||||||
\(378\) | −8.97978 | + | 17.2442i | −0.461870 | + | 0.886948i | ||||
\(379\) | 28.8128i | 1.48001i | 0.672600 | + | 0.740006i | \(0.265178\pi\) | ||||
−0.672600 | + | 0.740006i | \(0.734822\pi\) | |||||||
\(380\) | 8.78162 | + | 34.7811i | 0.450488 | + | 1.78423i | ||||
\(381\) | −17.0785 | + | 21.0209i | −0.874956 | + | 1.07693i | ||||
\(382\) | 12.4887 | − | 1.55223i | 0.638977 | − | 0.0794190i | ||||
\(383\) | −12.6701 | − | 21.9453i | −0.647413 | − | 1.12135i | −0.983738 | − | 0.179607i | \(-0.942517\pi\) |
0.336325 | − | 0.941746i | \(-0.390816\pi\) | |||||||
\(384\) | −6.54032 | + | 18.4723i | −0.333759 | + | 0.942658i | ||||
\(385\) | 33.7781 | − | 14.1184i | 1.72149 | − | 0.719540i | ||||
\(386\) | −16.8274 | + | 12.7196i | −0.856493 | + | 0.647409i | ||||
\(387\) | 15.0277 | − | 3.14374i | 0.763903 | − | 0.159805i | ||||
\(388\) | −15.9168 | + | 15.4622i | −0.808053 | + | 0.784975i | ||||
\(389\) | 2.20886 | − | 3.82586i | 0.111994 | − | 0.193979i | −0.804580 | − | 0.593844i | \(-0.797610\pi\) |
0.916574 | + | 0.399865i | \(0.130943\pi\) | |||||||
\(390\) | 10.1894 | − | 16.3018i | 0.515958 | − | 0.825475i | ||||
\(391\) | − | 12.7923i | − | 0.646932i | ||||||
\(392\) | 18.1737 | + | 7.85602i | 0.917910 | + | 0.396789i | ||||
\(393\) | −2.75991 | + | 17.2458i | −0.139219 | + | 0.869934i | ||||
\(394\) | 3.57427 | + | 1.51093i | 0.180069 | + | 0.0761198i | ||||
\(395\) | 13.8337 | + | 7.98689i | 0.696049 | + | 0.401864i | ||||
\(396\) | −12.7564 | − | 26.1711i | −0.641033 | − | 1.31515i | ||||
\(397\) | −8.01775 | − | 13.8871i | −0.402399 | − | 0.696976i | 0.591616 | − | 0.806220i | \(-0.298490\pi\) |
−0.994015 | + | 0.109244i | \(0.965157\pi\) | |||||||
\(398\) | 19.8737 | + | 26.2921i | 0.996180 | + | 1.31790i | ||||
\(399\) | −6.77352 | − | 28.0165i | −0.339100 | − | 1.40258i | ||||
\(400\) | 10.6628 | + | 6.57517i | 0.533139 | + | 0.328759i | ||||
\(401\) | −6.53545 | + | 3.77324i | −0.326365 | + | 0.188427i | −0.654226 | − | 0.756299i | \(-0.727006\pi\) |
0.327861 | + | 0.944726i | \(0.393672\pi\) | |||||||
\(402\) | −14.2120 | − | 0.498073i | −0.708828 | − | 0.0248416i | ||||
\(403\) | 2.36154 | + | 1.36343i | 0.117637 | + | 0.0679175i | ||||
\(404\) | 3.48395 | + | 13.7988i | 0.173333 | + | 0.686516i | ||||
\(405\) | 15.2186 | − | 20.6656i | 0.756218 | − | 1.02688i | ||||
\(406\) | 0.0589722 | − | 14.6083i | 0.00292674 | − | 0.725000i | ||||
\(407\) | 5.96817i | 0.295831i | ||||||||
\(408\) | −12.7362 | + | 11.5335i | −0.630537 | + | 0.570991i | ||||
\(409\) | −24.3612 | − | 14.0650i | −1.20458 | − | 0.695467i | −0.243013 | − | 0.970023i | \(-0.578136\pi\) |
−0.961571 | + | 0.274556i | \(0.911469\pi\) | |||||||
\(410\) | 8.43062 | − | 1.04785i | 0.416359 | − | 0.0517496i | ||||
\(411\) | 31.8927 | − | 12.1836i | 1.57315 | − | 0.600975i | ||||
\(412\) | 3.34425 | + | 0.948219i | 0.164760 | + | 0.0467154i | ||||
\(413\) | 0.346643 | − | 2.69988i | 0.0170572 | − | 0.132852i | ||||
\(414\) | −5.01252 | − | 14.6398i | −0.246352 | − | 0.719508i | ||||
\(415\) | 0.196926 | + | 0.341085i | 0.00966670 | + | 0.0167432i | ||||
\(416\) | −6.47483 | + | 14.1586i | −0.317454 | + | 0.694183i | ||||
\(417\) | −0.122140 | + | 0.150336i | −0.00598125 | + | 0.00736197i | ||||
\(418\) | 39.7569 | + | 16.8062i | 1.94457 | + | 0.822019i | ||||
\(419\) | − | 19.5661i | − | 0.955866i | −0.878396 | − | 0.477933i | \(-0.841386\pi\) | ||
0.878396 | − | 0.477933i | \(-0.158614\pi\) | |||||||
\(420\) | −22.1064 | − | 13.9419i | −1.07868 | − | 0.680294i | ||||
\(421\) | − | 26.0983i | − | 1.27195i | −0.771708 | − | 0.635977i | \(-0.780597\pi\) | ||
0.771708 | − | 0.635977i | \(-0.219403\pi\) | |||||||
\(422\) | −11.2287 | + | 26.5626i | −0.546603 | + | 1.29305i | ||||
\(423\) | −25.0986 | + | 22.4531i | −1.22033 | + | 1.09170i | ||||
\(424\) | −5.61439 | − | 0.863632i | −0.272659 | − | 0.0419417i | ||||
\(425\) | 5.49207 | + | 9.51254i | 0.266404 | + | 0.461426i | ||||
\(426\) | 11.2127 | + | 21.0944i | 0.543258 | + | 1.02203i | ||||
\(427\) | −3.98880 | + | 5.23296i | −0.193032 | + | 0.253241i | ||||
\(428\) | 0.580514 | − | 2.04740i | 0.0280602 | − | 0.0989650i | ||||
\(429\) | −8.25477 | − | 21.6082i | −0.398544 | − | 1.04326i | ||||
\(430\) | 2.54561 | + | 20.4810i | 0.122760 | + | 0.987683i | ||||
\(431\) | −10.4072 | − | 6.00858i | −0.501296 | − | 0.289423i | 0.227953 | − | 0.973672i | \(-0.426797\pi\) |
−0.729248 | + | 0.684249i | \(0.760130\pi\) | |||||||
\(432\) | −10.0564 | + | 18.1898i | −0.483840 | + | 0.875157i | ||||
\(433\) | − | 35.6343i | − | 1.71247i | −0.516583 | − | 0.856237i | \(-0.672796\pi\) | ||
0.516583 | − | 0.856237i | \(-0.327204\pi\) | |||||||
\(434\) | 1.86655 | − | 3.20302i | 0.0895972 | − | 0.153750i | ||||
\(435\) | −3.04729 | + | 19.0415i | −0.146107 | + | 0.912972i | ||||
\(436\) | 4.44287 | + | 17.5968i | 0.212775 | + | 0.842733i | ||||
\(437\) | 19.8674 | + | 11.4705i | 0.950389 | + | 0.548707i | ||||
\(438\) | 0.822620 | + | 0.0288296i | 0.0393063 | + | 0.00137753i | ||||
\(439\) | −11.6950 | + | 6.75210i | −0.558171 | + | 0.322260i | −0.752411 | − | 0.658694i | \(-0.771109\pi\) |
0.194240 | + | 0.980954i | \(0.437776\pi\) | |||||||
\(440\) | 36.4754 | − | 14.1882i | 1.73890 | − | 0.676396i | ||||
\(441\) | 17.6485 | + | 11.3811i | 0.840406 | + | 0.541957i | ||||
\(442\) | −10.8902 | + | 8.23170i | −0.517993 | + | 0.391542i | ||||
\(443\) | −11.7659 | − | 20.3791i | −0.559014 | − | 0.968241i | −0.997579 | − | 0.0695416i | \(-0.977846\pi\) |
0.438565 | − | 0.898700i | \(-0.355487\pi\) | |||||||
\(444\) | 3.48678 | − | 2.44854i | 0.165475 | − | 0.116203i | ||||
\(445\) | 2.86962 | + | 1.65678i | 0.136033 | + | 0.0785387i | ||||
\(446\) | −6.31402 | + | 14.9365i | −0.298978 | + | 0.707263i | ||||
\(447\) | −18.8075 | − | 3.00984i | −0.889563 | − | 0.142360i | ||||
\(448\) | 19.2131 | + | 8.88022i | 0.907732 | + | 0.419551i | ||||
\(449\) | − | 30.6292i | − | 1.44548i | −0.691120 | − | 0.722740i | \(-0.742883\pi\) | ||
0.691120 | − | 0.722740i | \(-0.257117\pi\) | |||||||
\(450\) | 10.0127 | + | 8.73441i | 0.472002 | + | 0.411744i | ||||
\(451\) | 5.11103 | − | 8.85257i | 0.240669 | − | 0.416851i | ||||
\(452\) | 24.1185 | − | 23.4297i | 1.13444 | − | 1.10204i | ||||
\(453\) | 5.15165 | + | 13.4853i | 0.242046 | + | 0.633596i | ||||
\(454\) | 18.0888 | + | 23.9307i | 0.848948 | + | 1.12312i | ||||
\(455\) | −16.5141 | − | 12.5878i | −0.774193 | − | 0.590125i | ||||
\(456\) | −6.49221 | − | 30.1222i | −0.304025 | − | 1.41060i | ||||
\(457\) | 5.80736 | + | 10.0587i | 0.271657 | + | 0.470524i | 0.969286 | − | 0.245935i | \(-0.0790950\pi\) |
−0.697629 | + | 0.716459i | \(0.745762\pi\) | |||||||
\(458\) | 0.395839 | + | 3.18478i | 0.0184964 | + | 0.148815i | ||||
\(459\) | −15.3322 | + | 9.85194i | −0.715644 | + | 0.459849i | ||||
\(460\) | 20.1685 | − | 5.09219i | 0.940362 | − | 0.237425i | ||||
\(461\) | 30.8362i | 1.43618i | 0.695948 | + | 0.718092i | \(0.254985\pi\) | ||||
−0.695948 | + | 0.718092i | \(0.745015\pi\) | |||||||
\(462\) | −29.4217 | + | 11.1038i | −1.36882 | + | 0.516593i | ||||
\(463\) | −32.3199 | −1.50203 | −0.751016 | − | 0.660284i | \(-0.770436\pi\) | ||||
−0.751016 | + | 0.660284i | \(0.770436\pi\) | |||||||
\(464\) | 0.452391 | − | 15.6105i | 0.0210017 | − | 0.724701i | ||||
\(465\) | −3.08581 | + | 3.79815i | −0.143101 | + | 0.176135i | ||||
\(466\) | −36.5629 | + | 4.54444i | −1.69375 | + | 0.210517i | ||||
\(467\) | −29.3749 | + | 16.9596i | −1.35931 | + | 0.784797i | −0.989531 | − | 0.144323i | \(-0.953900\pi\) |
−0.369778 | + | 0.929120i | \(0.620566\pi\) | |||||||
\(468\) | −9.23753 | + | 13.6878i | −0.427005 | + | 0.632719i | ||||
\(469\) | −1.95606 | + | 15.2350i | −0.0903225 | + | 0.703489i | ||||
\(470\) | −27.2976 | − | 36.1135i | −1.25914 | − | 1.66579i | ||||
\(471\) | 6.70275 | + | 17.5456i | 0.308846 | + | 0.808458i | ||||
\(472\) | 0.442424 | − | 2.87615i | 0.0203642 | − | 0.132386i | ||||
\(473\) | 21.5061 | + | 12.4166i | 0.988852 | + | 0.570914i | ||||
\(474\) | −11.6353 | − | 7.27256i | −0.534427 | − | 0.334040i | ||||
\(475\) | −19.6984 | −0.903823 | ||||||||
\(476\) | 11.1312 | + | 14.8504i | 0.510199 | + | 0.680665i | ||||
\(477\) | −5.72409 | − | 1.88025i | −0.262088 | − | 0.0860910i | ||||
\(478\) | 4.58618 | − | 10.8491i | 0.209767 | − | 0.496226i | ||||
\(479\) | 17.6827 | − | 30.6273i | 0.807943 | − | 1.39940i | −0.106344 | − | 0.994329i | \(-0.533914\pi\) |
0.914286 | − | 0.405068i | \(-0.132752\pi\) | |||||||
\(480\) | −23.2538 | − | 15.4891i | −1.06139 | − | 0.706976i | ||||
\(481\) | 2.93154 | − | 1.69253i | 0.133667 | − | 0.0771726i | ||||
\(482\) | −6.14559 | − | 8.13034i | −0.279924 | − | 0.370327i | ||||
\(483\) | −16.2459 | + | 3.92776i | −0.739216 | + | 0.178719i | ||||
\(484\) | 6.84464 | − | 24.1402i | 0.311120 | − | 1.09728i | ||||
\(485\) | −15.8198 | − | 27.4008i | −0.718342 | − | 1.24421i | ||||
\(486\) | −13.6862 | + | 17.2826i | −0.620818 | + | 0.783955i | ||||
\(487\) | 16.4191 | − | 28.4386i | 0.744018 | − | 1.28868i | −0.206634 | − | 0.978418i | \(-0.566251\pi\) |
0.950652 | − | 0.310259i | \(-0.100416\pi\) | |||||||
\(488\) | −4.40236 | + | 5.48621i | −0.199286 | + | 0.248349i | ||||
\(489\) | 3.18008 | − | 19.8713i | 0.143808 | − | 0.898610i | ||||
\(490\) | −17.2037 | + | 22.3818i | −0.777185 | + | 1.01111i | ||||
\(491\) | −22.5295 | −1.01674 | −0.508371 | − | 0.861138i | \(-0.669752\pi\) | ||||
−0.508371 | + | 0.861138i | \(0.669752\pi\) | |||||||
\(492\) | −7.26882 | + | 0.645891i | −0.327703 | + | 0.0291190i | ||||
\(493\) | 6.84678 | − | 11.8590i | 0.308363 | − | 0.534101i | ||||
\(494\) | −3.01959 | − | 24.2945i | −0.135858 | − | 1.09306i | ||||
\(495\) | 40.6322 | − | 8.50009i | 1.82628 | − | 0.382051i | ||||
\(496\) | 2.08018 | − | 3.37336i | 0.0934027 | − | 0.151468i | ||||
\(497\) | 23.8075 | − | 9.95092i | 1.06791 | − | 0.446360i | ||||
\(498\) | −0.158790 | − | 0.298730i | −0.00711554 | − | 0.0133864i | ||||
\(499\) | 11.3117 | − | 6.53084i | 0.506383 | − | 0.292361i | −0.224962 | − | 0.974367i | \(-0.572226\pi\) |
0.731346 | + | 0.682007i | \(0.238893\pi\) | |||||||
\(500\) | 7.64256 | − | 7.42429i | 0.341786 | − | 0.332024i | ||||
\(501\) | −8.46506 | + | 10.4192i | −0.378191 | + | 0.465494i | ||||
\(502\) | −4.63241 | + | 10.9585i | −0.206755 | + | 0.489100i | ||||
\(503\) | 2.77607 | 0.123779 | 0.0618894 | − | 0.998083i | \(-0.480287\pi\) | ||||
0.0618894 | + | 0.998083i | \(0.480287\pi\) | |||||||
\(504\) | 18.5579 | + | 12.6335i | 0.826633 | + | 0.562742i | ||||
\(505\) | −20.2919 | −0.902978 | ||||||||
\(506\) | 9.74542 | − | 23.0538i | 0.433237 | − | 1.02487i | ||||
\(507\) | 5.92543 | − | 7.29328i | 0.263158 | − | 0.323906i | ||||
\(508\) | 21.7915 | + | 22.4321i | 0.966841 | + | 0.995265i | ||||
\(509\) | 27.2704 | − | 15.7446i | 1.20874 | − | 0.697866i | 0.246255 | − | 0.969205i | \(-0.420800\pi\) |
0.962484 | + | 0.271339i | \(0.0874665\pi\) | |||||||
\(510\) | −11.4988 | − | 21.6326i | −0.509174 | − | 0.957906i | ||||
\(511\) | 0.113221 | − | 0.881838i | 0.00500861 | − | 0.0390102i | ||||
\(512\) | 20.2965 | + | 10.0025i | 0.896989 | + | 0.442052i | ||||
\(513\) | −1.55295 | − | 32.6461i | −0.0685645 | − | 1.44136i | ||||
\(514\) | −5.27775 | − | 42.4629i | −0.232792 | − | 1.87296i | ||||
\(515\) | −2.47812 | + | 4.29223i | −0.109199 | + | 0.189138i | ||||
\(516\) | −1.56910 | − | 17.6586i | −0.0690760 | − | 0.777376i | ||||
\(517\) | −54.4701 | −2.39559 | ||||||||
\(518\) | −2.28490 | − | 3.99471i | −0.100393 | − | 0.175518i | ||||
\(519\) | −0.278275 | + | 1.73885i | −0.0122149 | + | 0.0763270i | ||||
\(520\) | −17.3133 | − | 13.8929i | −0.759239 | − | 0.609244i | ||||
\(521\) | −2.92633 | + | 5.06856i | −0.128205 | + | 0.222058i | −0.922981 | − | 0.384845i | \(-0.874255\pi\) |
0.794776 | + | 0.606903i | \(0.207588\pi\) | |||||||
\(522\) | 3.18883 | − | 16.2546i | 0.139571 | − | 0.711444i | ||||
\(523\) | −9.81038 | − | 16.9921i | −0.428978 | − | 0.743012i | 0.567805 | − | 0.823163i | \(-0.307793\pi\) |
−0.996783 | + | 0.0801516i | \(0.974460\pi\) | |||||||
\(524\) | 19.4023 | + | 5.50125i | 0.847591 | + | 0.240323i | ||||
\(525\) | 10.3945 | − | 9.89558i | 0.453652 | − | 0.431879i | ||||
\(526\) | 20.5878 | + | 27.2367i | 0.897670 | + | 1.18758i | ||||
\(527\) | 3.00947 | − | 1.73752i | 0.131094 | − | 0.0756874i | ||||
\(528\) | −31.7393 | + | 11.0825i | −1.38127 | + | 0.482305i | ||||
\(529\) | −4.84862 | + | 8.39806i | −0.210810 | + | 0.365133i | ||||
\(530\) | 3.15355 | − | 7.46006i | 0.136982 | − | 0.324044i | ||||
\(531\) | 0.963222 | − | 2.93235i | 0.0418003 | − | 0.127253i | ||||
\(532\) | −33.0449 | + | 3.97179i | −1.43268 | + | 0.172199i | ||||
\(533\) | −5.79779 | −0.251130 | ||||||||
\(534\) | −2.41359 | − | 1.50860i | −0.104446 | − | 0.0652834i | ||||
\(535\) | 2.62777 | + | 1.51715i | 0.113609 | + | 0.0655919i | ||||
\(536\) | −2.49654 | + | 16.2297i | −0.107834 | + | 0.701018i | ||||
\(537\) | −13.3639 | − | 34.9823i | −0.576696 | − | 1.50960i | ||||
\(538\) | 17.1418 | + | 22.6779i | 0.739036 | + | 0.977712i | ||||
\(539\) | 9.00148 | + | 32.7525i | 0.387721 | + | 1.41075i | ||||
\(540\) | −21.6360 | − | 20.2513i | −0.931066 | − | 0.871475i | ||||
\(541\) | −35.5120 | + | 20.5029i | −1.52678 | + | 0.881488i | −0.527287 | + | 0.849687i | \(0.676791\pi\) |
−0.999494 | + | 0.0318007i | \(0.989876\pi\) | |||||||
\(542\) | 2.55886 | − | 0.318043i | 0.109913 | − | 0.0136611i | ||||
\(543\) | −10.2343 | + | 12.5968i | −0.439194 | + | 0.540579i | ||||
\(544\) | 11.5003 | + | 16.1675i | 0.493070 | + | 0.693174i | ||||
\(545\) | −25.8771 | −1.10845 | ||||||||
\(546\) | 13.7979 | + | 11.3029i | 0.590494 | + | 0.483718i | ||||
\(547\) | − | 13.0813i | − | 0.559315i | −0.960100 | − | 0.279658i | \(-0.909779\pi\) | ||
0.960100 | − | 0.279658i | \(-0.0902209\pi\) | |||||||
\(548\) | −9.65058 | − | 38.2228i | −0.412252 | − | 1.63280i | ||||
\(549\) | −5.56053 | + | 4.97442i | −0.237317 | + | 0.212303i | ||||
\(550\) | 2.65078 | + | 21.3272i | 0.113029 | + | 0.909394i | ||||
\(551\) | 12.2787 | + | 21.2673i | 0.523088 | + | 0.906016i | ||||
\(552\) | −17.4669 | + | 3.76463i | −0.743442 | + | 0.160233i | ||||
\(553\) | −8.98443 | + | 11.7868i | −0.382057 | + | 0.501225i | ||||
\(554\) | −11.2326 | − | 14.8603i | −0.477229 | − | 0.631353i | ||||
\(555\) | 2.16791 | + | 5.67487i | 0.0920227 | + | 0.240885i | ||||
\(556\) | 0.155847 | + | 0.160429i | 0.00660937 | + | 0.00680369i | ||||
\(557\) | 19.2814 | − | 33.3964i | 0.816980 | − | 1.41505i | −0.0909180 | − | 0.995858i | \(-0.528980\pi\) |
0.907898 | − | 0.419192i | \(-0.137687\pi\) | |||||||
\(558\) | 2.76329 | − | 3.16769i | 0.116979 | − | 0.134099i | ||||
\(559\) | − | 14.0849i | − | 0.595730i | ||||||
\(560\) | −18.9824 | + | 23.4612i | −0.802153 | + | 0.991416i | ||||
\(561\) | −29.1074 | − | 4.65817i | −1.22891 | − | 0.196668i | ||||
\(562\) | 8.47007 | − | 20.0368i | 0.357288 | − | 0.845203i | ||||
\(563\) | −9.75701 | − | 5.63321i | −0.411209 | − | 0.237411i | 0.280100 | − | 0.959971i | \(-0.409632\pi\) |
−0.691309 | + | 0.722559i | \(0.742966\pi\) | |||||||
\(564\) | 22.3472 | + | 31.8230i | 0.940988 | + | 1.33999i | ||||
\(565\) | 23.9716 | + | 41.5200i | 1.00849 | + | 1.74676i | ||||
\(566\) | −10.4894 | + | 7.92875i | −0.440902 | + | 0.333270i | ||||
\(567\) | 17.2194 | + | 16.4466i | 0.723148 | + | 0.690693i | ||||
\(568\) | 25.7086 | − | 10.0001i | 1.07871 | − | 0.419595i | ||||
\(569\) | −26.7497 | + | 15.4440i | −1.12141 | + | 0.647445i | −0.941760 | − | 0.336286i | \(-0.890829\pi\) |
−0.179648 | + | 0.983731i | \(0.557496\pi\) | |||||||
\(570\) | 43.9078 | + | 1.53880i | 1.83910 | + | 0.0644531i | ||||
\(571\) | −6.49082 | − | 3.74748i | −0.271633 | − | 0.156827i | 0.357997 | − | 0.933723i | \(-0.383460\pi\) |
−0.629629 | + | 0.776896i | \(0.716793\pi\) | |||||||
\(572\) | −25.8971 | + | 6.53855i | −1.08281 | + | 0.273390i | ||||
\(573\) | 2.43564 | − | 15.2195i | 0.101750 | − | 0.635803i | ||||
\(574\) | −0.0318191 | + | 7.88209i | −0.00132810 | + | 0.328992i | ||||
\(575\) | 11.4225i | 0.476350i | ||||||||
\(576\) | 19.4963 | + | 13.9962i | 0.812345 | + | 0.583177i | ||||
\(577\) | 18.4495 | + | 10.6518i | 0.768064 | + | 0.443442i | 0.832184 | − | 0.554500i | \(-0.187091\pi\) |
−0.0641196 | + | 0.997942i | \(0.520424\pi\) | |||||||
\(578\) | −0.819596 | − | 6.59418i | −0.0340907 | − | 0.274282i | ||||
\(579\) | 9.21946 | + | 24.1335i | 0.383148 | + | 1.00295i | ||||
\(580\) | 21.4226 | + | 6.07409i | 0.889524 | + | 0.252213i | ||||
\(581\) | −0.337151 | + | 0.140921i | −0.0139874 | + | 0.00584637i | ||||
\(582\) | 12.7562 | + | 23.9982i | 0.528763 | + | 0.994759i | ||||
\(583\) | −4.87263 | − | 8.43964i | −0.201804 | − | 0.349534i | ||||
\(584\) | 0.144505 | − | 0.939414i | 0.00597967 | − | 0.0388732i | ||||
\(585\) | −15.6982 | − | 17.5478i | −0.649040 | − | 0.725513i | ||||
\(586\) | 9.82690 | − | 23.2466i | 0.405946 | − | 0.960307i | ||||
\(587\) | − | 15.2002i | − | 0.627381i | −0.949525 | − | 0.313691i | \(-0.898435\pi\) | ||
0.949525 | − | 0.313691i | \(-0.101565\pi\) | |||||||
\(588\) | 15.4420 | − | 18.6961i | 0.636816 | − | 0.771016i | ||||
\(589\) | 6.23194i | 0.256783i | ||||||||
\(590\) | 3.82166 | + | 1.61551i | 0.157335 | + | 0.0665095i | ||||
\(591\) | 2.99687 | − | 3.68868i | 0.123275 | − | 0.151732i | ||||
\(592\) | −2.33543 | − | 4.33010i | −0.0959854 | − | 0.177966i | ||||
\(593\) | 4.55071 | + | 7.88206i | 0.186875 | + | 0.323678i | 0.944207 | − | 0.329353i | \(-0.106831\pi\) |
−0.757332 | + | 0.653031i | \(0.773497\pi\) | |||||||
\(594\) | −35.1366 | + | 6.07449i | −1.44167 | + | 0.249240i | ||||
\(595\) | −24.4148 | + | 10.2048i | −1.00091 | + | 0.418355i | ||||
\(596\) | −5.99943 | + | 21.1593i | −0.245746 | + | 0.866717i | ||||
\(597\) | 37.7075 | − | 14.4050i | 1.54326 | − | 0.589557i | ||||
\(598\) | −14.0877 | + | 1.75097i | −0.576087 | + | 0.0716024i | ||||
\(599\) | 37.6136 | + | 21.7162i | 1.53685 | + | 0.887302i | 0.999021 | + | 0.0442488i | \(0.0140894\pi\) |
0.537831 | + | 0.843053i | \(0.319244\pi\) | |||||||
\(600\) | 11.3725 | − | 10.2985i | 0.464278 | − | 0.420434i | ||||
\(601\) | − | 15.5284i | − | 0.633415i | −0.948523 | − | 0.316708i | \(-0.897423\pi\) | ||
0.948523 | − | 0.316708i | \(-0.102577\pi\) | |||||||
\(602\) | −19.1485 | − | 0.0773002i | −0.780433 | − | 0.00315052i | ||||
\(603\) | −5.43533 | + | 16.5469i | −0.221344 | + | 0.673841i | ||||
\(604\) | 16.1619 | − | 4.08059i | 0.657618 | − | 0.166037i | ||||
\(605\) | 30.9831 | + | 17.8881i | 1.25964 | + | 0.727256i | ||||
\(606\) | 17.4197 | + | 0.610490i | 0.707625 | + | 0.0247995i | ||||
\(607\) | 1.01612 | − | 0.586656i | 0.0412430 | − | 0.0238116i | −0.479237 | − | 0.877686i | \(-0.659086\pi\) |
0.520480 | + | 0.853874i | \(0.325753\pi\) | |||||||
\(608\) | −35.4214 | + | 3.36394i | −1.43653 | + | 0.136426i | ||||
\(609\) | −17.1629 | − | 5.05409i | −0.695478 | − | 0.204802i | ||||
\(610\) | −6.04771 | − | 8.00086i | −0.244865 | − | 0.323945i | ||||
\(611\) | 15.4473 | + | 26.7555i | 0.624930 | + | 1.08241i | ||||
\(612\) | 9.22033 | + | 18.9165i | 0.372710 | + | 0.764654i | ||||
\(613\) | −35.7276 | − | 20.6273i | −1.44302 | − | 0.833131i | −0.444974 | − | 0.895543i | \(-0.646787\pi\) |
−0.998050 | + | 0.0624126i | \(0.980121\pi\) | |||||||
\(614\) | 23.0112 | + | 9.72739i | 0.928655 | + | 0.392565i | ||||
\(615\) | 1.64420 | − | 10.2741i | 0.0663006 | − | 0.414291i | ||||
\(616\) | 8.74702 | + | 35.2429i | 0.352427 | + | 1.41998i | ||||
\(617\) | − | 15.3232i | − | 0.616887i | −0.951243 | − | 0.308444i | \(-0.900192\pi\) | ||
0.951243 | − | 0.308444i | \(-0.0998081\pi\) | |||||||
\(618\) | 2.25648 | − | 3.61013i | 0.0907691 | − | 0.145221i | ||||
\(619\) | −7.95796 | + | 13.7836i | −0.319857 | + | 0.554009i | −0.980458 | − | 0.196728i | \(-0.936968\pi\) |
0.660601 | + | 0.750738i | \(0.270302\pi\) | |||||||
\(620\) | 3.93738 | + | 4.05313i | 0.158129 | + | 0.162778i | ||||
\(621\) | −18.9305 | + | 0.900509i | −0.759655 | + | 0.0361362i | ||||
\(622\) | −9.36592 | + | 7.07954i | −0.375539 | + | 0.283864i | ||||
\(623\) | −1.86370 | + | 2.44502i | −0.0746677 | + | 0.0979575i | ||||
\(624\) | 14.4447 | + | 12.4473i | 0.578251 | + | 0.498290i | ||||
\(625\) | 15.4254 | + | 26.7176i | 0.617017 | + | 1.06871i | ||||
\(626\) | 37.4267 | − | 4.65180i | 1.49587 | − | 0.185923i | ||||
\(627\) | 33.3344 | − | 41.0294i | 1.33125 | − | 1.63856i | ||||
\(628\) | 21.0280 | − | 5.30920i | 0.839110 | − | 0.211860i | ||||
\(629\) | − | 4.31380i | − | 0.172002i | ||||||
\(630\) | −23.9424 | + | 21.2454i | −0.953887 | + | 0.846435i | ||||
\(631\) | −27.9268 | −1.11175 | −0.555875 | − | 0.831266i | \(-0.687617\pi\) | ||||
−0.555875 | + | 0.831266i | \(0.687617\pi\) | |||||||
\(632\) | −9.91594 | + | 12.3572i | −0.394435 | + | 0.491544i | ||||
\(633\) | 27.4128 | + | 22.2715i | 1.08956 | + | 0.885215i | ||||
\(634\) | −5.02703 | − | 40.4457i | −0.199649 | − | 1.60630i | ||||
\(635\) | −38.6170 | + | 22.2955i | −1.53247 | + | 0.884770i | ||||
\(636\) | −2.93162 | + | 6.30923i | −0.116246 | + | 0.250177i | ||||
\(637\) | 13.5351 | − | 13.7098i | 0.536281 | − | 0.543203i | ||||
\(638\) | 21.3735 | − | 16.1559i | 0.846184 | − | 0.639616i | ||||
\(639\) | 28.6384 | − | 5.99103i | 1.13292 | − | 0.237001i | ||||
\(640\) | −20.9121 | + | 24.5673i | −0.826622 | + | 0.971108i | ||||
\(641\) | −7.03036 | − | 4.05898i | −0.277683 | − | 0.160320i | 0.354691 | − | 0.934984i | \(-0.384586\pi\) |
−0.632374 | + | 0.774663i | \(0.717919\pi\) | |||||||
\(642\) | −2.21018 | − | 1.38146i | −0.0872287 | − | 0.0545217i | ||||
\(643\) | 21.5611 | 0.850285 | 0.425143 | − | 0.905126i | \(-0.360224\pi\) | ||||
0.425143 | + | 0.905126i | \(0.360224\pi\) | |||||||
\(644\) | 2.30312 | + | 19.1618i | 0.0907558 | + | 0.755079i | ||||
\(645\) | 24.9595 | + | 3.99436i | 0.982778 | + | 0.157278i | ||||
\(646\) | −28.7363 | − | 12.1475i | −1.13061 | − | 0.477939i | ||||
\(647\) | −19.5173 | + | 33.8049i | −0.767304 | + | 1.32901i | 0.171716 | + | 0.985147i | \(0.445069\pi\) |
−0.939020 | + | 0.343863i | \(0.888264\pi\) | |||||||
\(648\) | 17.9642 | + | 18.0357i | 0.705702 | + | 0.708508i | ||||
\(649\) | 4.32348 | − | 2.49616i | 0.169712 | − | 0.0979830i | ||||
\(650\) | 9.72408 | − | 7.35027i | 0.381410 | − | 0.288301i | ||||
\(651\) | −3.13065 | − | 3.28848i | −0.122700 | − | 0.128886i | ||||
\(652\) | −22.3561 | − | 6.33877i | −0.875531 | − | 0.248245i | ||||
\(653\) | 8.53952 | + | 14.7909i | 0.334177 | + | 0.578812i | 0.983326 | − | 0.181849i | \(-0.0582083\pi\) |
−0.649149 | + | 0.760661i | \(0.724875\pi\) | |||||||
\(654\) | 22.2142 | + | 0.778521i | 0.868645 | + | 0.0304426i | ||||
\(655\) | −14.3772 | + | 24.9021i | −0.561765 | + | 0.973006i | ||||
\(656\) | −0.244092 | + | 8.42284i | −0.00953021 | + | 0.328857i | ||||
\(657\) | 0.314609 | − | 0.957770i | 0.0122741 | − | 0.0373662i | ||||
\(658\) | 36.4588 | − | 20.8537i | 1.42131 | − | 0.812962i | ||||
\(659\) | 6.99022 | 0.272300 | 0.136150 | − | 0.990688i | \(-0.456527\pi\) | ||||
0.136150 | + | 0.990688i | \(0.456527\pi\) | |||||||
\(660\) | −4.24257 | − | 47.7456i | −0.165142 | − | 1.85849i | ||||
\(661\) | 23.0740 | − | 39.9653i | 0.897474 | − | 1.55447i | 0.0667617 | − | 0.997769i | \(-0.478733\pi\) |
0.830712 | − | 0.556702i | \(-0.187933\pi\) | |||||||
\(662\) | 3.63830 | − | 0.452207i | 0.141406 | − | 0.0175755i | ||||
\(663\) | 5.96655 | + | 15.6184i | 0.231722 | + | 0.606570i | ||||
\(664\) | −0.364074 | + | 0.141617i | −0.0141288 | + | 0.00549582i | ||||
\(665\) | 6.04325 | − | 47.0686i | 0.234347 | − | 1.82524i | ||||
\(666\) | −1.69032 | − | 4.93683i | −0.0654985 | − | 0.191298i | ||||
\(667\) | 12.3322 | − | 7.12002i | 0.477506 | − | 0.275688i | ||||
\(668\) | 10.8011 | + | 11.1186i | 0.417907 | + | 0.430193i | ||||
\(669\) | 15.4145 | + | 12.5236i | 0.595961 | + | 0.484189i | ||||
\(670\) | −21.5651 | − | 9.11610i | −0.833133 | − | 0.352186i | ||||
\(671\) | −12.0677 | −0.465869 | ||||||||
\(672\) | 17.0013 | − | 19.5692i | 0.655841 | − | 0.754899i | ||||
\(673\) | 8.04494 | 0.310110 | 0.155055 | − | 0.987906i | \(-0.450445\pi\) | ||||
0.155055 | + | 0.987906i | \(0.450445\pi\) | |||||||
\(674\) | −14.5519 | − | 6.15144i | −0.560517 | − | 0.236945i | ||||
\(675\) | 13.6904 | − | 8.79702i | 0.526945 | − | 0.338597i | ||||
\(676\) | −7.56063 | − | 7.78291i | −0.290794 | − | 0.299343i | ||||
\(677\) | 8.53140 | − | 4.92561i | 0.327888 | − | 0.189306i | −0.327015 | − | 0.945019i | \(-0.606043\pi\) |
0.654903 | + | 0.755713i | \(0.272709\pi\) | |||||||
\(678\) | −19.3293 | − | 36.3642i | −0.742339 | − | 1.39656i | ||||
\(679\) | 27.0847 | − | 11.3207i | 1.03942 | − | 0.434450i | ||||
\(680\) | −26.3644 | + | 10.2552i | −1.01103 | + | 0.393270i | ||||
\(681\) | 34.3208 | − | 13.1112i | 1.31518 | − | 0.502422i | ||||
\(682\) | 6.74725 | − | 0.838621i | 0.258365 | − | 0.0321125i | ||||
\(683\) | 20.1018 | − | 34.8173i | 0.769173 | − | 1.33225i | −0.168839 | − | 0.985644i | \(-0.554002\pi\) |
0.938012 | − | 0.346603i | \(-0.112665\pi\) | |||||||
\(684\) | −37.6465 | − | 2.64197i | −1.43945 | − | 0.101018i | ||||
\(685\) | 56.2088 | 2.14763 | ||||||||
\(686\) | −18.5642 | − | 18.4762i | −0.708784 | − | 0.705425i | ||||
\(687\) | 3.88117 | + | 0.621119i | 0.148076 | + | 0.0236972i | ||||
\(688\) | −20.4621 | − | 0.592989i | −0.780112 | − | 0.0226075i | ||||
\(689\) | −2.76368 | + | 4.78683i | −0.105288 | + | 0.182364i | ||||
\(690\) | 0.892301 | − | 25.4608i | 0.0339693 | − | 0.969277i | ||||
\(691\) | 17.2791 | + | 29.9282i | 0.657326 | + | 1.13852i | 0.981305 | + | 0.192458i | \(0.0616460\pi\) |
−0.323979 | + | 0.946064i | \(0.605021\pi\) | |||||||
\(692\) | 1.95628 | + | 0.554678i | 0.0743667 | + | 0.0210857i | ||||
\(693\) | 3.02139 | + | 38.3961i | 0.114773 | + | 1.45855i | ||||
\(694\) | 16.3280 | − | 12.3420i | 0.619801 | − | 0.468497i | ||||
\(695\) | −0.276178 | + | 0.159451i | −0.0104760 | + | 0.00604834i | ||||
\(696\) | −18.2075 | − | 5.85883i | −0.690155 | − | 0.222078i | ||||
\(697\) | −3.69426 | + | 6.39864i | −0.139930 | + | 0.242366i | ||||
\(698\) | 29.7018 | + | 12.5557i | 1.12423 | + | 0.475240i | ||||
\(699\) | −7.13078 | + | 44.5579i | −0.269711 | + | 1.68533i | ||||
\(700\) | −9.93931 | − | 13.2602i | −0.375671 | − | 0.501189i | ||||
\(701\) | −29.6534 | −1.11999 | −0.559997 | − | 0.828495i | \(-0.689198\pi\) | ||||
−0.559997 | + | 0.828495i | \(0.689198\pi\) | |||||||
\(702\) | 12.9482 | + | 15.5363i | 0.488699 | + | 0.586379i | ||||
\(703\) | 6.69969 | + | 3.86807i | 0.252684 | + | 0.145887i | ||||
\(704\) | 8.40869 | + | 37.8977i | 0.316915 | + | 1.42832i | ||||
\(705\) | −51.7932 | + | 19.7860i | −1.95064 | + | 0.745184i | ||||
\(706\) | 4.64945 | − | 3.51444i | 0.174984 | − | 0.132268i | ||||
\(707\) | 2.39755 | − | 18.6736i | 0.0901692 | − | 0.702295i | ||||
\(708\) | −3.23211 | − | 1.50182i | −0.121470 | − | 0.0564417i | ||||
\(709\) | −9.81381 | + | 5.66601i | −0.368565 | + | 0.212791i | −0.672832 | − | 0.739796i | \(-0.734922\pi\) |
0.304266 | + | 0.952587i | \(0.401589\pi\) | |||||||
\(710\) | 4.85116 | + | 39.0307i | 0.182061 | + | 1.46480i | ||||
\(711\) | −12.5246 | + | 11.2044i | −0.469709 | + | 0.420199i | ||||
\(712\) | −2.05693 | + | 2.56335i | −0.0770868 | + | 0.0960654i | ||||
\(713\) | 3.61371 | 0.135335 | ||||||||
\(714\) | 21.2660 | − | 8.02580i | 0.795860 | − | 0.300358i | ||||
\(715\) | − | 38.0831i | − | 1.42423i | ||||||
\(716\) | −41.9256 | + | 10.5855i | −1.56683 | + | 0.395598i | ||||
\(717\) | −11.1963 | − | 9.09648i | −0.418135 | − | 0.339714i | ||||
\(718\) | −15.9426 | + | 1.98152i | −0.594971 | + | 0.0739495i | ||||
\(719\) | 8.51080 | + | 14.7411i | 0.317399 | + | 0.549752i | 0.979945 | − | 0.199270i | \(-0.0638572\pi\) |
−0.662545 | + | 0.749022i | \(0.730524\pi\) | |||||||
\(720\) | −26.1538 | + | 22.0670i | −0.974695 | + | 0.822389i | ||||
\(721\) | −3.65713 | − | 2.78763i | −0.136199 | − | 0.103817i | ||||
\(722\) | 23.1979 | − | 17.5349i | 0.863335 | − | 0.652580i | ||||
\(723\) | −11.6604 | + | 4.45448i | −0.433653 | + | 0.165664i | ||||
\(724\) | 13.0585 | + | 13.4424i | 0.485316 | + | 0.499584i | ||||
\(725\) | −6.11364 | + | 10.5891i | −0.227055 | + | 0.393271i | ||||
\(726\) | −26.0594 | − | 16.2883i | −0.967155 | − | 0.604514i | ||||
\(727\) | 42.1153i | 1.56197i | 0.624550 | + | 0.780985i | \(0.285282\pi\) | ||||
−0.624550 | + | 0.780985i | \(0.714718\pi\) | |||||||
\(728\) | 14.8306 | − | 14.2911i | 0.549658 | − | 0.529663i | ||||
\(729\) | 15.6586 | + | 21.9956i | 0.579949 | + | 0.814653i | ||||
\(730\) | 1.24824 | + | 0.527661i | 0.0461993 | + | 0.0195296i | ||||
\(731\) | −15.5446 | − | 8.97469i | −0.574939 | − | 0.331941i | ||||
\(732\) | 4.95097 | + | 7.05031i | 0.182993 | + | 0.260587i | ||||
\(733\) | −20.3500 | − | 35.2472i | −0.751644 | − | 1.30189i | −0.947026 | − | 0.321158i | \(-0.895928\pi\) |
0.195382 | − | 0.980727i | \(-0.437405\pi\) | |||||||
\(734\) | −23.8815 | − | 31.5941i | −0.881481 | − | 1.16616i | ||||
\(735\) | 20.4563 | + | 27.8731i | 0.754541 | + | 1.02812i | ||||
\(736\) | 1.95064 | + | 20.5398i | 0.0719017 | + | 0.757107i | ||||
\(737\) | −24.3968 | + | 14.0855i | −0.898669 | + | 0.518847i | ||||
\(738\) | −1.72057 | + | 8.77034i | −0.0633350 | + | 0.322841i | ||||
\(739\) | 7.63741 | + | 4.40946i | 0.280947 | + | 0.162205i | 0.633852 | − | 0.773454i | \(-0.281473\pi\) |
−0.352905 | + | 0.935659i | \(0.614806\pi\) | |||||||
\(740\) | 6.80122 | − | 1.71719i | 0.250018 | − | 0.0631251i | ||||
\(741\) | −29.6068 | − | 4.73810i | −1.08763 | − | 0.174058i | ||||
\(742\) | 6.49252 | + | 3.78349i | 0.238348 | + | 0.138896i | ||||
\(743\) | − | 16.3412i | − | 0.599502i | −0.954017 | − | 0.299751i | \(-0.903096\pi\) | ||
0.954017 | − | 0.299751i | \(-0.0969036\pi\) | |||||||
\(744\) | −3.25811 | − | 3.59788i | −0.119448 | − | 0.131905i | ||||
\(745\) | −27.1572 | − | 15.6792i | −0.994962 | − | 0.574441i | ||||
\(746\) | −43.9604 | + | 5.46388i | −1.60950 | + | 0.200047i | ||||
\(747\) | −0.405564 | + | 0.0848424i | −0.0148388 | + | 0.00310422i | ||||
\(748\) | −9.28501 | + | 32.7471i | −0.339494 | + | 1.19735i | ||||
\(749\) | −1.70663 | + | 2.23895i | −0.0623590 | + | 0.0818096i | ||||
\(750\) | −6.12500 | − | 11.5229i | −0.223653 | − | 0.420758i | ||||
\(751\) | 6.17492 | + | 10.6953i | 0.225326 | + | 0.390276i | 0.956417 | − | 0.292004i | \(-0.0943219\pi\) |
−0.731091 | + | 0.682280i | \(0.760989\pi\) | |||||||
\(752\) | 39.5198 | − | 21.3149i | 1.44114 | − | 0.777273i | ||||
\(753\) | 11.3092 | + | 9.18817i | 0.412130 | + | 0.334836i | ||||
\(754\) | −13.9970 | − | 5.91690i | −0.509742 | − | 0.215481i | ||||
\(755\) | 23.7670i | 0.864969i | ||||||||
\(756\) | 21.1926 | − | 17.5178i | 0.770767 | − | 0.637117i | ||||
\(757\) | 29.0246i | 1.05492i | 0.849581 | + | 0.527459i | \(0.176855\pi\) | ||||
−0.849581 | + | 0.527459i | \(0.823145\pi\) | |||||||
\(758\) | 15.8656 | − | 37.5318i | 0.576265 | − | 1.36322i | ||||
\(759\) | −23.7917 | − | 19.3296i | −0.863583 | − | 0.701620i | ||||
\(760\) | 7.71305 | − | 50.1418i | 0.279782 | − | 1.81883i | ||||
\(761\) | −15.5050 | − | 26.8554i | −0.562055 | − | 0.973507i | −0.997317 | − | 0.0732037i | \(-0.976678\pi\) |
0.435262 | − | 0.900304i | \(-0.356656\pi\) | |||||||
\(762\) | 33.8216 | − | 17.9778i | 1.22523 | − | 0.651269i | ||||
\(763\) | 3.05745 | − | 23.8134i | 0.110687 | − | 0.862102i | ||||
\(764\) | −17.1226 | − | 4.85489i | −0.619474 | − | 0.175644i | ||||
\(765\) | −29.3690 | + | 6.14387i | −1.06184 | + | 0.222132i | ||||
\(766\) | 4.42015 | + | 35.5629i | 0.159706 | + | 1.28494i | ||||
\(767\) | −2.45221 | − | 1.41578i | −0.0885442 | − | 0.0511210i | ||||
\(768\) | 18.6911 | − | 20.4607i | 0.674458 | − | 0.738313i | ||||
\(769\) | 42.3916i | 1.52868i | 0.644813 | + | 0.764340i | \(0.276935\pi\) | ||||
−0.644813 | + | 0.764340i | \(0.723065\pi\) | |||||||
\(770\) | −51.7739 | − | 0.209005i | −1.86580 | − | 0.00753203i | ||||
\(771\) | −51.7479 | − | 8.28143i | −1.86366 | − | 0.298248i | ||||
\(772\) | 28.9235 | − | 7.30267i | 1.04098 | − | 0.262829i | ||||
\(773\) | −2.88336 | − | 1.66471i | −0.103707 | − | 0.0598754i | 0.447249 | − | 0.894409i | \(-0.352404\pi\) |
−0.550957 | + | 0.834534i | \(0.685737\pi\) | |||||||
\(774\) | −21.3064 | − | 4.17989i | −0.765841 | − | 0.150243i | ||||
\(775\) | −2.68722 | + | 1.55147i | −0.0965277 | + | 0.0557303i | ||||
\(776\) | 29.2476 | − | 11.3767i | 1.04993 | − | 0.408400i | ||||
\(777\) | −5.47845 | + | 1.32452i | −0.196538 | + | 0.0475168i | ||||
\(778\) | −4.98397 | + | 3.76730i | −0.178684 | + | 0.135064i | ||||
\(779\) | −6.62508 | − | 11.4750i | −0.237368 | − | 0.411134i | ||||
\(780\) | −22.2493 | + | 15.6242i | −0.796651 | + | 0.559436i | ||||
\(781\) | 40.9842 | + | 23.6622i | 1.46653 | + | 0.846701i | ||||
\(782\) | −7.04399 | + | 16.6633i | −0.251893 | + | 0.595878i | ||||
\(783\) | −18.0314 | − | 9.29733i | −0.644388 | − | 0.332260i | ||||
\(784\) | −19.3473 | − | 20.2406i | −0.690976 | − | 0.722878i | ||||
\(785\) | 30.9229i | 1.10369i | ||||||||
\(786\) | 13.0914 | − | 20.9448i | 0.466954 | − | 0.747075i | ||||
\(787\) | −11.2617 | + | 19.5059i | −0.401437 | + | 0.695309i | −0.993900 | − | 0.110289i | \(-0.964822\pi\) |
0.592463 | + | 0.805598i | \(0.298156\pi\) | |||||||
\(788\) | −3.82389 | − | 3.93631i | −0.136221 | − | 0.140225i | ||||
\(789\) | 39.0623 | − | 14.9226i | 1.39065 | − | 0.531257i | ||||
\(790\) | −13.6220 | − | 18.0212i | −0.484647 | − | 0.641167i | ||||
\(791\) | −41.0411 | + | 17.1542i | −1.45925 | + | 0.609932i | ||||
\(792\) | 2.20560 | + | 41.1150i | 0.0783727 | + | 1.46096i | ||||
\(793\) | 3.42230 | + | 5.92761i | 0.121530 | + | 0.210495i | ||||
\(794\) | 2.79710 | + | 22.5045i | 0.0992654 | + | 0.798653i | ||||
\(795\) | −7.69883 | − | 6.25492i | −0.273049 | − | 0.221839i | ||||
\(796\) | −11.4101 | − | 45.1916i | −0.404420 | − | 1.60178i | ||||
\(797\) | − | 20.3781i | − | 0.721831i | −0.932599 | − | 0.360915i | \(-0.882464\pi\) | ||
0.932599 | − | 0.360915i | \(-0.117536\pi\) | |||||||
\(798\) | −6.60392 | + | 40.2244i | −0.233776 | + | 1.42393i | ||||
\(799\) | 39.3710 | 1.39285 | ||||||||
\(800\) | −10.2688 | − | 14.4363i | −0.363058 | − | 0.510400i | ||||
\(801\) | −2.59807 | + | 2.32422i | −0.0917981 | + | 0.0821221i | ||||
\(802\) | 10.5909 | − | 1.31635i | 0.373976 | − | 0.0464818i | ||||
\(803\) | 1.41214 | − | 0.815301i | 0.0498335 | − | 0.0287714i | ||||
\(804\) | 18.2384 | + | 8.47454i | 0.643218 | + | 0.298874i | ||||
\(805\) | −27.2937 | − | 3.50430i | −0.961976 | − | 0.123510i | ||||
\(806\) | −2.32539 | − | 3.07639i | −0.0819084 | − | 0.108361i | ||||
\(807\) | 32.5241 | − | 12.4248i | 1.14490 | − | 0.437374i | ||||
\(808\) | 3.06002 | − | 19.8929i | 0.107651 | − | 0.699828i | ||||
\(809\) | 5.45505 | + | 3.14948i | 0.191789 | + | 0.110730i | 0.592820 | − | 0.805335i | \(-0.298015\pi\) |
−0.401031 | + | 0.916065i | \(0.631348\pi\) | |||||||
\(810\) | −31.2033 | + | 18.5392i | −1.09637 | + | 0.651400i | ||||
\(811\) | 9.32889 | 0.327582 | 0.163791 | − | 0.986495i | \(-0.447628\pi\) | ||||
0.163791 | + | 0.986495i | \(0.447628\pi\) | |||||||
\(812\) | −8.12083 | + | 18.9965i | −0.284985 | + | 0.666646i | ||||
\(813\) | 0.499048 | − | 3.11839i | 0.0175024 | − | 0.109367i | ||||
\(814\) | 3.28635 | − | 7.77420i | 0.115186 | − | 0.272485i | ||||
\(815\) | 16.5660 | − | 28.6932i | 0.580283 | − | 1.00508i | ||||
\(816\) | 22.9412 | − | 8.01045i | 0.803101 | − | 0.280422i | ||||
\(817\) | 27.8769 | − | 16.0947i | 0.975290 | − | 0.563084i | ||||
\(818\) | 23.9883 | + | 31.7355i | 0.838732 | + | 1.10961i | ||||
\(819\) | 18.0032 | − | 12.3729i | 0.629082 | − | 0.432345i | ||||
\(820\) | −11.5588 | − | 3.27734i | −0.403650 | − | 0.114450i | ||||
\(821\) | −21.8378 | − | 37.8241i | −0.762143 | − | 1.32007i | −0.941744 | − | 0.336331i | \(-0.890814\pi\) |
0.179600 | − | 0.983740i | \(-0.442520\pi\) | |||||||
\(822\) | −48.2526 | − | 1.69106i | −1.68300 | − | 0.0589826i | ||||
\(823\) | 12.0388 | − | 20.8519i | 0.419647 | − | 0.726850i | −0.576257 | − | 0.817269i | \(-0.695487\pi\) |
0.995904 | + | 0.0904188i | \(0.0288205\pi\) | |||||||
\(824\) | −3.83412 | − | 3.07665i | −0.133568 | − | 0.107180i | ||||
\(825\) | 25.9906 | + | 4.15938i | 0.904877 | + | 0.144811i | ||||
\(826\) | −1.93821 | + | 3.32601i | −0.0674391 | + | 0.115727i | ||||
\(827\) | 40.9864 | 1.42524 | 0.712618 | − | 0.701553i | \(-0.247510\pi\) | ||||
0.712618 | + | 0.701553i | \(0.247510\pi\) | |||||||
\(828\) | −1.53200 | + | 21.8301i | −0.0532406 | + | 0.758648i | ||||
\(829\) | −8.07095 | + | 13.9793i | −0.280316 | + | 0.485521i | −0.971462 | − | 0.237194i | \(-0.923772\pi\) |
0.691147 | + | 0.722714i | \(0.257106\pi\) | |||||||
\(830\) | −0.0687001 | − | 0.552737i | −0.00238462 | − | 0.0191858i | ||||
\(831\) | −21.3123 | + | 8.14170i | −0.739315 | + | 0.282433i | ||||
\(832\) | 16.2305 | − | 14.8778i | 0.562692 | − | 0.515794i | ||||
\(833\) | −6.50627 | − | 23.6735i | −0.225429 | − | 0.820238i | ||||
\(834\) | 0.241883 | − | 0.128573i | 0.00837572 | − | 0.00445211i | ||||
\(835\) | −19.1408 | + | 11.0509i | −0.662393 | + | 0.382433i | ||||
\(836\) | −42.5334 | − | 43.7839i | −1.47105 | − | 1.51430i | ||||
\(837\) | −2.78310 | − | 4.33122i | −0.0961979 | − | 0.149709i | ||||
\(838\) | −10.7740 | + | 25.4870i | −0.372181 | + | 0.880432i | ||||
\(839\) | 40.8898 | 1.41167 | 0.705836 | − | 0.708375i | \(-0.250571\pi\) | ||||
0.705836 | + | 0.708375i | \(0.250571\pi\) | |||||||
\(840\) | 21.1190 | + | 30.3336i | 0.728673 | + | 1.04661i | ||||
\(841\) | −13.7566 | −0.474367 | ||||||||
\(842\) | −14.3709 | + | 33.9959i | −0.495255 | + | 1.17158i | ||||
\(843\) | −20.6781 | − | 16.8000i | −0.712193 | − | 0.578622i | ||||
\(844\) | 29.2531 | − | 28.4177i | 1.00693 | − | 0.978176i | ||||
\(845\) | 13.3983 | − | 7.73551i | 0.460915 | − | 0.266110i | ||||
\(846\) | 45.0573 | − | 15.4271i | 1.54910 | − | 0.530396i | ||||
\(847\) | −20.1223 | + | 26.3987i | −0.691411 | + | 0.907071i | ||||
\(848\) | 6.83780 | + | 4.21651i | 0.234811 | + | 0.144796i | ||||
\(849\) | 5.74696 | + | 15.0436i | 0.197235 | + | 0.516296i | ||||
\(850\) | −1.91598 | − | 15.4153i | −0.0657176 | − | 0.528740i | ||||
\(851\) | 2.24298 | − | 3.88495i | 0.0768882 | − | 0.133174i | ||||
\(852\) | −2.99024 | − | 33.6520i | −0.102444 | − | 1.15290i | ||||
\(853\) | 23.3041 | 0.797917 | 0.398958 | − | 0.916969i | \(-0.369372\pi\) | ||||
0.398958 | + | 0.916969i | \(0.369372\pi\) | |||||||
\(854\) | 8.07735 | − | 4.62009i | 0.276401 | − | 0.158096i | ||||
\(855\) | 16.7924 | − | 51.1216i | 0.574290 | − | 1.74832i | ||||
\(856\) | −1.88358 | + | 2.34731i | −0.0643793 | + | 0.0802294i | ||||
\(857\) | −3.23327 | + | 5.60019i | −0.110447 | + | 0.191299i | −0.915950 | − | 0.401292i | \(-0.868561\pi\) |
0.805504 | + | 0.592591i | \(0.201895\pi\) | |||||||
\(858\) | −1.14574 | + | 32.6925i | −0.0391151 | + | 1.11610i | ||||
\(859\) | 1.10393 | + | 1.91207i | 0.0376657 | + | 0.0652390i | 0.884244 | − | 0.467026i | \(-0.154674\pi\) |
−0.846578 | + | 0.532265i | \(0.821341\pi\) | |||||||
\(860\) | 7.96186 | − | 28.0805i | 0.271497 | − | 0.957538i | ||||
\(861\) | 9.26045 | + | 2.72699i | 0.315595 | + | 0.0929356i | ||||
\(862\) | 10.2479 | + | 13.5575i | 0.349044 | + | 0.461770i | ||||
\(863\) | −21.2034 | + | 12.2418i | −0.721771 | + | 0.416715i | −0.815404 | − | 0.578892i | \(-0.803485\pi\) |
0.0936330 | + | 0.995607i | \(0.470152\pi\) | |||||||
\(864\) | 23.1157 | − | 18.1567i | 0.786412 | − | 0.617702i | ||||
\(865\) | −1.44962 | + | 2.51082i | −0.0492886 | + | 0.0853704i | ||||
\(866\) | −19.6218 | + | 46.4175i | −0.666778 | + | 1.57733i | ||||
\(867\) | −8.03607 | − | 1.28604i | −0.272919 | − | 0.0436764i | ||||
\(868\) | −4.19511 | + | 3.14448i | −0.142391 | + | 0.106731i | ||||
\(869\) | −27.1815 | −0.922068 | ||||||||
\(870\) | 14.4546 | − | 23.1257i | 0.490056 | − | 0.784035i | ||||
\(871\) | 13.8375 | + | 7.98908i | 0.468866 | + | 0.270700i | ||||
\(872\) | 3.90225 | − | 25.3682i | 0.132147 | − | 0.859074i | ||||
\(873\) | 32.5807 | − | 6.81574i | 1.10269 | − | 0.230678i | ||||
\(874\) | −19.5634 | − | 25.8815i | −0.661740 | − | 0.875453i | ||||
\(875\) | −13.0049 | + | 5.43574i | −0.439647 | + | 0.183761i | ||||
\(876\) | −1.05568 | − | 0.490526i | −0.0356680 | − | 0.0165733i | ||||
\(877\) | −15.3248 | + | 8.84776i | −0.517481 | + | 0.298768i | −0.735903 | − | 0.677087i | \(-0.763242\pi\) |
0.218422 | + | 0.975854i | \(0.429909\pi\) | |||||||
\(878\) | 18.9520 | − | 2.35556i | 0.639599 | − | 0.0794964i | ||||
\(879\) | −23.9906 | − | 19.4912i | −0.809183 | − | 0.657422i | ||||
\(880\) | −55.3258 | − | 1.60333i | −1.86503 | − | 0.0540484i | ||||
\(881\) | 55.0445 | 1.85450 | 0.927249 | − | 0.374446i | \(-0.122167\pi\) | ||||
0.927249 | + | 0.374446i | \(0.122167\pi\) | |||||||
\(882\) | −16.7222 | − | 24.5432i | −0.563065 | − | 0.826412i | ||||
\(883\) | 49.3732i | 1.66154i | 0.556616 | + | 0.830770i | \(0.312100\pi\) | ||||
−0.556616 | + | 0.830770i | \(0.687900\pi\) | |||||||
\(884\) | 18.7184 | − | 4.72606i | 0.629568 | − | 0.158955i | ||||
\(885\) | 3.20429 | − | 3.94398i | 0.107711 | − | 0.132575i | ||||
\(886\) | 4.10469 | + | 33.0249i | 0.137900 | + | 1.10949i | ||||
\(887\) | −12.2514 | − | 21.2201i | −0.411363 | − | 0.712502i | 0.583676 | − | 0.811987i | \(-0.301614\pi\) |
−0.995039 | + | 0.0994850i | \(0.968280\pi\) | |||||||
\(888\) | −5.89019 | + | 1.26951i | −0.197662 | + | 0.0426019i | ||||
\(889\) | −15.9547 | − | 38.1716i | −0.535105 | − | 1.28023i | ||||
\(890\) | −2.82570 | − | 3.73827i | −0.0947176 | − | 0.125307i | ||||
\(891\) | −4.84434 | + | 43.4022i | −0.162292 | + | 1.45403i | ||||
\(892\) | 16.4494 | − | 15.9796i | 0.550767 | − | 0.535037i | ||||
\(893\) | −35.3029 | + | 61.1465i | −1.18137 | + | 2.04619i | ||||
\(894\) | 22.8414 | + | 14.2769i | 0.763932 | + | 0.477491i | ||||
\(895\) | − | 61.6540i | − | 2.06087i | ||||||
\(896\) | −20.1373 | − | 22.1470i | −0.672738 | − | 0.739880i | ||||
\(897\) | −2.74748 | + | 17.1681i | −0.0917357 | + | 0.573226i | ||||
\(898\) | −16.8658 | + | 39.8978i | −0.562819 | + | 1.33141i | ||||
\(899\) | 3.35007 | + | 1.93416i | 0.111731 | + | 0.0645079i | ||||
\(900\) | −8.23303 | − | 16.8909i | −0.274434 | − | 0.563032i | ||||
\(901\) | 3.52194 | + | 6.10018i | 0.117333 | + | 0.203226i | ||||
\(902\) | −11.5323 | + | 8.71707i | −0.383984 | + | 0.290247i | ||||
\(903\) | −6.62485 | + | 22.4970i | −0.220461 | + | 0.748654i | ||||
\(904\) | −44.3184 | + | 17.2390i | −1.47401 | + | 0.573359i | ||||
\(905\) | −23.1412 | + | 13.3606i | −0.769239 | + | 0.444120i | ||||
\(906\) | 0.715038 | − | 20.4028i | 0.0237556 | − | 0.677839i | ||||
\(907\) | −6.23747 | − | 3.60121i | −0.207112 | − | 0.119576i | 0.392857 | − | 0.919600i | \(-0.371487\pi\) |
−0.599968 | + | 0.800024i | \(0.704820\pi\) | |||||||
\(908\) | −10.3853 | − | 41.1328i | −0.344648 | − | 1.36504i | ||||
\(909\) | 6.66211 | − | 20.2816i | 0.220968 | − | 0.672697i | ||||
\(910\) | 14.5800 | + | 25.4904i | 0.483322 | + | 0.844998i | ||||
\(911\) | 13.3025i | 0.440730i | 0.975417 | + | 0.220365i | \(0.0707248\pi\) | ||||
−0.975417 | + | 0.220365i | \(0.929275\pi\) | |||||||
\(912\) | −8.12983 | + | 42.8123i | −0.269205 | + | 1.41766i | ||||
\(913\) | −0.580401 | − | 0.335095i | −0.0192085 | − | 0.0110900i | ||||
\(914\) | −2.02598 | − | 16.3003i | −0.0670134 | − | 0.539166i | ||||
\(915\) | −11.4746 | + | 4.38354i | −0.379340 | + | 0.144915i | ||||
\(916\) | 1.23806 | − | 4.36649i | 0.0409066 | − | 0.144273i | ||||
\(917\) | −21.2175 | − | 16.1729i | −0.700663 | − | 0.534077i | ||||
\(918\) | 25.3967 | − | 4.39065i | 0.838217 | − | 0.144913i | ||||
\(919\) | −3.29521 | − | 5.70747i | −0.108699 | − | 0.188272i | 0.806544 | − | 0.591173i | \(-0.201335\pi\) |
−0.915243 | + | 0.402901i | \(0.868002\pi\) | |||||||
\(920\) | −29.0757 | − | 4.47256i | −0.958597 | − | 0.147456i | ||||
\(921\) | 19.2938 | − | 23.7477i | 0.635753 | − | 0.782512i | ||||
\(922\) | 16.9798 | − | 40.1675i | 0.559200 | − | 1.32285i | ||||
\(923\) | − | 26.8417i | − | 0.883505i | ||||||
\(924\) | 44.4392 | + | 1.73706i | 1.46194 | + | 0.0571450i | ||||
\(925\) | 3.85188i | 0.126649i | ||||||||
\(926\) | 42.1002 | + | 17.7968i | 1.38350 | + | 0.584839i | ||||
\(927\) | −3.47644 | − | 3.88606i | −0.114181 | − | 0.127635i | ||||
\(928\) | −9.18516 | + | 20.0853i | −0.301518 | + | 0.659333i | ||||
\(929\) | −6.17532 | − | 10.6960i | −0.202606 | − | 0.350923i | 0.746762 | − | 0.665092i | \(-0.231608\pi\) |
−0.949367 | + | 0.314169i | \(0.898274\pi\) | |||||||
\(930\) | 6.11103 | − | 3.24831i | 0.200389 | − | 0.106516i | ||||
\(931\) | 42.6009 | + | 11.1226i | 1.39619 | + | 0.364529i | ||||
\(932\) | 50.1296 | + | 14.2136i | 1.64205 | + | 0.465581i | ||||
\(933\) | 5.13143 | + | 13.4324i | 0.167995 | + | 0.439756i | ||||
\(934\) | 47.6027 | − | 5.91659i | 1.55761 | − | 0.193597i | ||||
\(935\) | −42.0298 | − | 24.2659i | −1.37452 | − | 0.793580i | ||||
\(936\) | 19.5700 | − | 12.7433i | 0.639666 | − | 0.416527i | ||||
\(937\) | − | 11.2161i | − | 0.366413i | −0.983074 | − | 0.183206i | \(-0.941352\pi\) | ||
0.983074 | − | 0.183206i | \(-0.0586476\pi\) | |||||||
\(938\) | 10.9371 | − | 18.7682i | 0.357108 | − | 0.612804i | ||||
\(939\) | 7.29923 | − | 45.6105i | 0.238201 | − | 1.48844i | ||||
\(940\) | 15.6724 | + | 62.0731i | 0.511176 | + | 2.02460i | ||||
\(941\) | 8.10816 | + | 4.68125i | 0.264318 | + | 0.152604i | 0.626303 | − | 0.779580i | \(-0.284567\pi\) |
−0.361985 | + | 0.932184i | \(0.617901\pi\) | |||||||
\(942\) | 0.930327 | − | 26.5459i | 0.0303117 | − | 0.864911i | ||||
\(943\) | −6.65399 | + | 3.84168i | −0.216684 | + | 0.125102i | ||||
\(944\) | −2.16004 | + | 3.50288i | −0.0703035 | + | 0.114009i | ||||
\(945\) | 16.8201 | + | 35.4117i | 0.547159 | + | 1.15194i | ||||
\(946\) | −21.1769 | − | 28.0162i | −0.688521 | − | 0.910884i | ||||
\(947\) | 19.4899 | + | 33.7574i | 0.633335 | + | 1.09697i | 0.986865 | + | 0.161546i | \(0.0516480\pi\) |
−0.353530 | + | 0.935423i | \(0.615019\pi\) | |||||||
\(948\) | 11.1516 | + | 15.8802i | 0.362188 | + | 0.515765i | ||||
\(949\) | −0.800945 | − | 0.462426i | −0.0259998 | − | 0.0150110i | ||||
\(950\) | 25.6593 | + | 10.8468i | 0.832496 | + | 0.351917i | ||||
\(951\) | −49.2896 | − | 7.88801i | −1.59832 | − | 0.255786i | ||||
\(952\) | −6.32235 | − | 25.4736i | −0.204908 | − | 0.825603i | ||||
\(953\) | 0.425521i | 0.0137840i | 0.999976 | + | 0.00689198i | \(0.00219380\pi\) | ||||
−0.999976 | + | 0.00689198i | \(0.997806\pi\) | |||||||
\(954\) | 6.42090 | + | 5.60118i | 0.207884 | + | 0.181345i | ||||
\(955\) | 12.6880 | − | 21.9763i | 0.410574 | − | 0.711135i | ||||
\(956\) | −11.9480 | + | 11.6068i | −0.386426 | + | 0.375390i | ||||
\(957\) | −11.7102 | − | 30.6534i | −0.378536 | − | 0.990882i | ||||
\(958\) | −39.8984 | + | 30.1585i | −1.28906 | + | 0.974378i | ||||
\(959\) | −6.64124 | + | 51.7262i | −0.214457 | + | 1.67033i | ||||
\(960\) | 21.7616 | + | 32.9808i | 0.702353 | + | 1.06445i | ||||
\(961\) | −15.0092 | − | 25.9966i | −0.484167 | − | 0.838601i | ||||
\(962\) | −4.75063 | + | 0.590461i | −0.153167 | + | 0.0190372i | ||||
\(963\) | −2.37910 | + | 2.12833i | −0.0766656 | + | 0.0685846i | ||||
\(964\) | 3.52836 | + | 13.9747i | 0.113641 | + | 0.450095i | ||||
\(965\) | 42.5337i | 1.36921i | ||||||||
\(966\) | 23.3249 | + | 3.82941i | 0.750467 | + | 0.123209i | ||||
\(967\) | −25.1685 | −0.809365 | −0.404682 | − | 0.914457i | \(-0.632618\pi\) | ||||
−0.404682 | + | 0.914457i | \(0.632618\pi\) | |||||||
\(968\) | −22.2086 | + | 27.6763i | −0.713811 | + | 0.889551i | ||||
\(969\) | −24.0941 | + | 29.6560i | −0.774014 | + | 0.952689i | ||||
\(970\) | 5.51897 | + | 44.4036i | 0.177203 | + | 1.42571i | ||||
\(971\) | −11.2476 | + | 6.49383i | −0.360954 | + | 0.208397i | −0.669499 | − | 0.742813i | \(-0.733491\pi\) |
0.308545 | + | 0.951210i | \(0.400158\pi\) | |||||||
\(972\) | 27.3443 | − | 14.9762i | 0.877070 | − | 0.480363i | ||||
\(973\) | −0.114104 | − | 0.272993i | −0.00365801 | − | 0.00875174i | ||||
\(974\) | −37.0472 | + | 28.0033i | −1.18707 | + | 0.897285i | ||||
\(975\) | −5.32766 | − | 13.9461i | −0.170622 | − | 0.446631i | ||||
\(976\) | 8.75551 | − | 4.72225i | 0.280257 | − | 0.151156i | ||||
\(977\) | 33.4781 | + | 19.3286i | 1.07106 | + | 0.618377i | 0.928471 | − | 0.371405i | \(-0.121124\pi\) |
0.142589 | + | 0.989782i | \(0.454457\pi\) | |||||||
\(978\) | −15.0844 | + | 24.1334i | −0.482347 | + | 0.771701i | ||||
\(979\) | −5.63844 | −0.180205 | ||||||||
\(980\) | 34.7342 | − | 19.6816i | 1.10954 | − | 0.628705i | ||||
\(981\) | 8.49578 | − | 25.8639i | 0.271249 | − | 0.825770i | ||||
\(982\) | 29.3471 | + | 12.4058i | 0.936504 | + | 0.395884i | ||||
\(983\) | 24.2049 | − | 41.9241i | 0.772017 | − | 1.33717i | −0.164439 | − | 0.986387i | \(-0.552581\pi\) |
0.936456 | − | 0.350785i | \(-0.114085\pi\) | |||||||
\(984\) | 9.82408 | + | 3.16119i | 0.313180 | + | 0.100775i | ||||
\(985\) | 6.77637 | − | 3.91234i | 0.215913 | − | 0.124657i | ||||
\(986\) | −15.4488 | + | 11.6775i | −0.491989 | + | 0.371886i | ||||
\(987\) | −12.0886 | − | 50.0005i | −0.384783 | − | 1.59153i | ||||
\(988\) | −9.44432 | + | 33.3090i | −0.300464 | + | 1.05970i | ||||
\(989\) | −9.33285 | − | 16.1650i | −0.296767 | − | 0.514016i | ||||
\(990\) | −57.6084 | − | 11.3016i | −1.83092 | − | 0.359190i | ||||
\(991\) | 8.16959 | − | 14.1502i | 0.259516 | − | 0.449494i | −0.706597 | − | 0.707617i | \(-0.749770\pi\) |
0.966112 | + | 0.258122i | \(0.0831037\pi\) | |||||||
\(992\) | −4.56718 | + | 3.24873i | −0.145008 | + | 0.103147i | ||||
\(993\) | 0.709567 | − | 4.43385i | 0.0225174 | − | 0.140704i | ||||
\(994\) | −36.4912 | − | 0.147311i | −1.15743 | − | 0.00467242i | ||||
\(995\) | 66.4569 | 2.10682 | ||||||||
\(996\) | 0.0423466 | + | 0.476565i | 0.00134180 | + | 0.0151005i | ||||
\(997\) | −4.94566 | + | 8.56614i | −0.156631 | + | 0.271292i | −0.933652 | − | 0.358182i | \(-0.883397\pi\) |
0.777021 | + | 0.629475i | \(0.216730\pi\) | |||||||
\(998\) | −18.3310 | + | 2.27837i | −0.580256 | + | 0.0721206i | ||||
\(999\) | −6.38373 | + | 0.303669i | −0.201972 | + | 0.00960767i |
(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 | 168.2.ba.c.101.4 | yes | 48 | |
3.2 | odd | 2 | inner | 168.2.ba.c.101.21 | yes | 48 | |
4.3 | odd | 2 | 672.2.bi.c.17.18 | 48 | |||
7.5 | odd | 6 | inner | 168.2.ba.c.5.14 | yes | 48 | |
8.3 | odd | 2 | 672.2.bi.c.17.7 | 48 | |||
8.5 | even | 2 | inner | 168.2.ba.c.101.11 | yes | 48 | |
12.11 | even | 2 | 672.2.bi.c.17.17 | 48 | |||
21.5 | even | 6 | inner | 168.2.ba.c.5.11 | yes | 48 | |
24.5 | odd | 2 | inner | 168.2.ba.c.101.14 | yes | 48 | |
24.11 | even | 2 | 672.2.bi.c.17.8 | 48 | |||
28.19 | even | 6 | 672.2.bi.c.593.8 | 48 | |||
56.5 | odd | 6 | inner | 168.2.ba.c.5.21 | yes | 48 | |
56.19 | even | 6 | 672.2.bi.c.593.17 | 48 | |||
84.47 | odd | 6 | 672.2.bi.c.593.7 | 48 | |||
168.5 | even | 6 | inner | 168.2.ba.c.5.4 | ✓ | 48 | |
168.131 | odd | 6 | 672.2.bi.c.593.18 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.ba.c.5.4 | ✓ | 48 | 168.5 | even | 6 | inner | |
168.2.ba.c.5.11 | yes | 48 | 21.5 | even | 6 | inner | |
168.2.ba.c.5.14 | yes | 48 | 7.5 | odd | 6 | inner | |
168.2.ba.c.5.21 | yes | 48 | 56.5 | odd | 6 | inner | |
168.2.ba.c.101.4 | yes | 48 | 1.1 | even | 1 | trivial | |
168.2.ba.c.101.11 | yes | 48 | 8.5 | even | 2 | inner | |
168.2.ba.c.101.14 | yes | 48 | 24.5 | odd | 2 | inner | |
168.2.ba.c.101.21 | yes | 48 | 3.2 | odd | 2 | inner | |
672.2.bi.c.17.7 | 48 | 8.3 | odd | 2 | |||
672.2.bi.c.17.8 | 48 | 24.11 | even | 2 | |||
672.2.bi.c.17.17 | 48 | 12.11 | even | 2 | |||
672.2.bi.c.17.18 | 48 | 4.3 | odd | 2 | |||
672.2.bi.c.593.7 | 48 | 84.47 | odd | 6 | |||
672.2.bi.c.593.8 | 48 | 28.19 | even | 6 | |||
672.2.bi.c.593.17 | 48 | 56.19 | even | 6 | |||
672.2.bi.c.593.18 | 48 | 168.131 | odd | 6 |