Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [693,2,Mod(64,693)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(693, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("693.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 693 = 3^{2} \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 693.m (of order \(5\), degree \(4\), 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: | \(5.53363286007\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{5})\) |
Coefficient field: | 8.0.13140625.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 3x^{7} + 5x^{6} - 3x^{5} + 4x^{4} + 3x^{3} + 5x^{2} + 3x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 231) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 379.1 | ||
Root | \(-0.227943 - 0.701538i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 693.379 |
Dual form | 693.2.m.f.64.1 |
$q$-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 \(\left(\mathbb{Z}/693\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(442\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.449894 | − | 1.38463i | −0.318123 | − | 0.979082i | −0.974450 | − | 0.224605i | \(-0.927891\pi\) |
0.656327 | − | 0.754477i | \(-0.272109\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.0967635 | + | 0.0703028i | −0.0483818 | + | 0.0351514i | ||||
\(5\) | −0.737640 | + | 2.27022i | −0.329883 | + | 1.01527i | 0.639305 | + | 0.768953i | \(0.279222\pi\) |
−0.969188 | + | 0.246322i | \(0.920778\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.809017 | − | 0.587785i | 0.305780 | − | 0.222162i | ||||
\(8\) | −2.21480 | − | 1.60914i | −0.783049 | − | 0.568919i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 3.47528 | 1.09898 | ||||||||
\(11\) | 3.30902 | − | 0.224514i | 0.997706 | − | 0.0676935i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.281754 | − | 0.867148i | −0.0781444 | − | 0.240504i | 0.904351 | − | 0.426789i | \(-0.140355\pi\) |
−0.982496 | + | 0.186285i | \(0.940355\pi\) | |||||||
\(14\) | −1.17784 | − | 0.855749i | −0.314790 | − | 0.228708i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.30557 | + | 4.01813i | −0.326392 | + | 1.00453i | ||||
\(17\) | 0.675706 | − | 2.07961i | 0.163883 | − | 0.504379i | −0.835070 | − | 0.550144i | \(-0.814573\pi\) |
0.998952 | + | 0.0457654i | \(0.0145727\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.575493 | − | 0.418120i | −0.132027 | − | 0.0959234i | 0.519812 | − | 0.854281i | \(-0.326002\pi\) |
−0.651839 | + | 0.758358i | \(0.726002\pi\) | |||||||
\(20\) | −0.0882264 | − | 0.271533i | −0.0197280 | − | 0.0607166i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.79958 | − | 4.48076i | −0.383671 | − | 0.955301i | ||||
\(23\) | 7.80466 | 1.62738 | 0.813692 | − | 0.581296i | \(-0.197454\pi\) | ||||
0.813692 | + | 0.581296i | \(0.197454\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.564716 | − | 0.410290i | −0.112943 | − | 0.0820581i | ||||
\(26\) | −1.07392 | + | 0.780249i | −0.210613 | + | 0.153019i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.0369604 | + | 0.113752i | −0.00698486 | + | 0.0214972i | ||||
\(29\) | 7.17390 | − | 5.21214i | 1.33216 | − | 0.967870i | 0.332465 | − | 0.943115i | \(-0.392120\pi\) |
0.999694 | − | 0.0247547i | \(-0.00788049\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.04763 | − | 6.30195i | −0.367765 | − | 1.13186i | −0.948231 | − | 0.317580i | \(-0.897130\pi\) |
0.580466 | − | 0.814284i | \(-0.302870\pi\) | |||||||
\(32\) | 0.675706 | 0.119449 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.18348 | −0.545963 | ||||||||
\(35\) | 0.737640 | + | 2.27022i | 0.124684 | + | 0.383738i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.40233 | − | 2.47194i | 0.559340 | − | 0.406384i | −0.271877 | − | 0.962332i | \(-0.587645\pi\) |
0.831217 | + | 0.555948i | \(0.187645\pi\) | |||||||
\(38\) | −0.320031 | + | 0.984955i | −0.0519159 | + | 0.159781i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 5.28684 | − | 3.84112i | 0.835923 | − | 0.607334i | ||||
\(41\) | −9.67390 | − | 7.02850i | −1.51081 | − | 1.09767i | −0.965817 | − | 0.259225i | \(-0.916533\pi\) |
−0.544992 | − | 0.838441i | \(-0.683467\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.51601 | 1.14618 | 0.573091 | − | 0.819492i | \(-0.305744\pi\) | ||||
0.573091 | + | 0.819492i | \(0.305744\pi\) | |||||||
\(44\) | −0.304408 | + | 0.254358i | −0.0458913 | + | 0.0383459i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.51127 | − | 10.8066i | −0.517708 | − | 1.59334i | ||||
\(47\) | 5.07392 | + | 3.68642i | 0.740107 | + | 0.537720i | 0.892745 | − | 0.450563i | \(-0.148777\pi\) |
−0.152637 | + | 0.988282i | \(0.548777\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.309017 | − | 0.951057i | 0.0441453 | − | 0.135865i | ||||
\(50\) | −0.314038 | + | 0.966510i | −0.0444117 | + | 0.136685i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.0882264 | + | 0.0641003i | 0.0122348 | + | 0.00888911i | ||||
\(53\) | 2.02884 | + | 6.24411i | 0.278682 | + | 0.857695i | 0.988222 | + | 0.153030i | \(0.0489030\pi\) |
−0.709540 | + | 0.704666i | \(0.751097\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.93117 | + | 7.67782i | −0.260399 | + | 1.03528i | ||||
\(56\) | −2.73764 | −0.365833 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −10.4444 | − | 7.58829i | −1.37141 | − | 0.996391i | ||||
\(59\) | −7.78527 | + | 5.65633i | −1.01356 | + | 0.736391i | −0.964952 | − | 0.262427i | \(-0.915477\pi\) |
−0.0486038 | + | 0.998818i | \(0.515477\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.0193938 | + | 0.0596881i | −0.00248313 | + | 0.00764227i | −0.952290 | − | 0.305193i | \(-0.901279\pi\) |
0.949807 | + | 0.312836i | \(0.101279\pi\) | |||||||
\(62\) | −7.80466 | + | 5.67042i | −0.991193 | + | 0.720144i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 2.30714 | + | 7.10065i | 0.288393 | + | 0.887581i | ||||
\(65\) | 2.17645 | 0.269956 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −11.3294 | −1.38410 | −0.692052 | − | 0.721847i | \(-0.743293\pi\) | ||||
−0.692052 | + | 0.721847i | \(0.743293\pi\) | |||||||
\(68\) | 0.0808187 | + | 0.248734i | 0.00980070 | + | 0.0301635i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.81156 | − | 2.04272i | 0.336046 | − | 0.244152i | ||||
\(71\) | 1.84466 | − | 5.67728i | 0.218921 | − | 0.673769i | −0.779931 | − | 0.625865i | \(-0.784746\pi\) |
0.998852 | − | 0.0479037i | \(-0.0152541\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.54920 | − | 2.57865i | 0.415403 | − | 0.301808i | −0.360383 | − | 0.932805i | \(-0.617354\pi\) |
0.775785 | + | 0.630997i | \(0.217354\pi\) | |||||||
\(74\) | −4.95341 | − | 3.59886i | −0.575822 | − | 0.418359i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.0850818 | 0.00975955 | ||||||||
\(77\) | 2.54508 | − | 2.12663i | 0.290039 | − | 0.242352i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.50097 | − | 4.61952i | −0.168873 | − | 0.519736i | 0.830428 | − | 0.557126i | \(-0.188096\pi\) |
−0.999301 | + | 0.0373894i | \(0.988096\pi\) | |||||||
\(80\) | −8.15900 | − | 5.92786i | −0.912204 | − | 0.662755i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −5.37965 | + | 16.5568i | −0.594083 | + | 1.82840i | ||||
\(83\) | −3.10530 | + | 9.55713i | −0.340851 | + | 1.04903i | 0.622917 | + | 0.782288i | \(0.285948\pi\) |
−0.963768 | + | 0.266743i | \(0.914052\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.22275 | + | 3.06801i | 0.458021 | + | 0.332772i | ||||
\(86\) | −3.38141 | − | 10.4069i | −0.364626 | − | 1.12220i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −7.69008 | − | 4.82743i | −0.819765 | − | 0.514606i | ||||
\(89\) | 0.261535 | 0.0277226 | 0.0138613 | − | 0.999904i | \(-0.495588\pi\) | ||||
0.0138613 | + | 0.999904i | \(0.495588\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.737640 | − | 0.535927i | −0.0773257 | − | 0.0561804i | ||||
\(92\) | −0.755207 | + | 0.548690i | −0.0787358 | + | 0.0572049i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 2.82160 | − | 8.68400i | 0.291026 | − | 0.895687i | ||||
\(95\) | 1.37373 | − | 0.998076i | 0.140942 | − | 0.102400i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.05453 | + | 9.40087i | 0.310140 | + | 0.954513i | 0.977709 | + | 0.209965i | \(0.0673351\pi\) |
−0.667569 | + | 0.744548i | \(0.732665\pi\) | |||||||
\(98\) | −1.45589 | −0.147067 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.0834885 | 0.00834885 | ||||||||
\(101\) | −3.07392 | − | 9.46056i | −0.305867 | − | 0.941360i | −0.979352 | − | 0.202160i | \(-0.935204\pi\) |
0.673486 | − | 0.739200i | \(-0.264796\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.532952 | − | 0.387212i | 0.0525133 | − | 0.0381532i | −0.561219 | − | 0.827667i | \(-0.689667\pi\) |
0.613732 | + | 0.789514i | \(0.289667\pi\) | |||||||
\(104\) | −0.771340 | + | 2.37394i | −0.0756361 | + | 0.232784i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 7.73303 | − | 5.61838i | 0.751098 | − | 0.545705i | ||||
\(107\) | 0.229023 | + | 0.166395i | 0.0221405 | + | 0.0160860i | 0.598800 | − | 0.800898i | \(-0.295644\pi\) |
−0.576660 | + | 0.816984i | \(0.695644\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −8.97962 | −0.860092 | −0.430046 | − | 0.902807i | \(-0.641503\pi\) | ||||
−0.430046 | + | 0.902807i | \(0.641503\pi\) | |||||||
\(110\) | 11.4998 | − | 0.780249i | 1.09646 | − | 0.0743938i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.30557 | + | 4.01813i | 0.123365 | + | 0.379677i | ||||
\(113\) | 1.07549 | + | 0.781391i | 0.101174 | + | 0.0735071i | 0.637222 | − | 0.770680i | \(-0.280083\pi\) |
−0.536048 | + | 0.844187i | \(0.680083\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −5.75703 | + | 17.7183i | −0.536846 | + | 1.65224i | ||||
\(116\) | −0.327743 | + | 1.00869i | −0.0304302 | + | 0.0936545i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 11.3345 | + | 8.23498i | 1.04342 | + | 0.758091i | ||||
\(119\) | −0.675706 | − | 2.07961i | −0.0619418 | − | 0.190637i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.8992 | − | 1.48584i | 0.990835 | − | 0.135076i | ||||
\(122\) | 0.0913711 | 0.00827235 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.641181 | + | 0.465845i | 0.0575798 | + | 0.0418341i | ||||
\(125\) | −8.30783 | + | 6.03599i | −0.743075 | + | 0.539875i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −6.74805 | + | 20.7684i | −0.598793 | + | 1.84290i | −0.0639336 | + | 0.997954i | \(0.520365\pi\) |
−0.534859 | + | 0.844941i | \(0.679635\pi\) | |||||||
\(128\) | 9.88712 | − | 7.18341i | 0.873906 | − | 0.634930i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.979173 | − | 3.01358i | −0.0858791 | − | 0.264309i | ||||
\(131\) | 9.22227 | 0.805754 | 0.402877 | − | 0.915254i | \(-0.368010\pi\) | ||||
0.402877 | + | 0.915254i | \(0.368010\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.711349 | −0.0616817 | ||||||||
\(134\) | 5.09702 | + | 15.6870i | 0.440315 | + | 1.35515i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −4.84294 | + | 3.51860i | −0.415279 | + | 0.301718i | ||||
\(137\) | 0.632711 | − | 1.94728i | 0.0540561 | − | 0.166368i | −0.920384 | − | 0.391017i | \(-0.872124\pi\) |
0.974440 | + | 0.224649i | \(0.0721235\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.3921 | − | 7.55033i | 0.881450 | − | 0.640411i | −0.0521847 | − | 0.998637i | \(-0.516618\pi\) |
0.933635 | + | 0.358227i | \(0.116618\pi\) | |||||||
\(140\) | −0.230980 | − | 0.167817i | −0.0195214 | − | 0.0141831i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −8.69084 | −0.729319 | ||||||||
\(143\) | −1.12701 | − | 2.80615i | −0.0942457 | − | 0.234662i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 6.54097 | + | 20.1310i | 0.543198 | + | 1.67179i | ||||
\(146\) | −5.16724 | − | 3.75422i | −0.427643 | − | 0.310701i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.155437 | + | 0.478387i | −0.0127769 | + | 0.0393232i | ||||
\(149\) | −4.74190 | + | 14.5941i | −0.388472 | + | 1.19559i | 0.545458 | + | 0.838138i | \(0.316356\pi\) |
−0.933930 | + | 0.357456i | \(0.883644\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.58979 | + | 4.06122i | 0.454890 | + | 0.330497i | 0.791524 | − | 0.611139i | \(-0.209288\pi\) |
−0.336633 | + | 0.941636i | \(0.609288\pi\) | |||||||
\(152\) | 0.601785 | + | 1.85210i | 0.0488112 | + | 0.150225i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −4.08961 | − | 2.56725i | −0.329550 | − | 0.206875i | ||||
\(155\) | 15.8173 | 1.27047 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 7.55429 | + | 5.48851i | 0.602898 | + | 0.438031i | 0.846906 | − | 0.531742i | \(-0.178462\pi\) |
−0.244008 | + | 0.969773i | \(0.578462\pi\) | |||||||
\(158\) | −5.72105 | + | 4.15658i | −0.455142 | + | 0.330680i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.498428 | + | 1.53400i | −0.0394042 | + | 0.121274i | ||||
\(161\) | 6.31411 | − | 4.58747i | 0.497621 | − | 0.361543i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.22333 | + | 9.92040i | 0.252471 | + | 0.777026i | 0.994317 | + | 0.106456i | \(0.0339504\pi\) |
−0.741846 | + | 0.670570i | \(0.766050\pi\) | |||||||
\(164\) | 1.43020 | 0.111680 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 14.6302 | 1.13552 | ||||||||
\(167\) | −0.417609 | − | 1.28527i | −0.0323156 | − | 0.0994571i | 0.933598 | − | 0.358323i | \(-0.116651\pi\) |
−0.965913 | + | 0.258866i | \(0.916651\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 9.84466 | − | 7.15256i | 0.757282 | − | 0.550197i | ||||
\(170\) | 2.34827 | − | 7.22722i | 0.180104 | − | 0.554303i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.727276 | + | 0.528397i | −0.0554543 | + | 0.0402899i | ||||
\(173\) | 15.7641 | + | 11.4533i | 1.19852 | + | 0.870776i | 0.994138 | − | 0.108116i | \(-0.0344817\pi\) |
0.204381 | + | 0.978891i | \(0.434482\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.698028 | −0.0527659 | ||||||||
\(176\) | −3.41802 | + | 13.5892i | −0.257643 | + | 1.02432i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.117663 | − | 0.362129i | −0.00881920 | − | 0.0271427i | ||||
\(179\) | −10.3992 | − | 7.55545i | −0.777272 | − | 0.564721i | 0.126887 | − | 0.991917i | \(-0.459501\pi\) |
−0.904159 | + | 0.427196i | \(0.859501\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.44209 | − | 13.6714i | 0.330178 | − | 1.01618i | −0.638871 | − | 0.769314i | \(-0.720598\pi\) |
0.969049 | − | 0.246869i | \(-0.0794019\pi\) | |||||||
\(182\) | −0.410201 | + | 1.26247i | −0.0304061 | + | 0.0935805i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −17.2857 | − | 12.5588i | −1.27432 | − | 0.925849i | ||||
\(185\) | 3.10216 | + | 9.54745i | 0.228075 | + | 0.701943i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.76902 | − | 7.03316i | 0.129364 | − | 0.514316i | ||||
\(188\) | −0.750136 | −0.0547093 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.00000 | − | 1.45309i | −0.145095 | − | 0.105418i | ||||
\(191\) | −19.3776 | + | 14.0786i | −1.40211 | + | 1.01870i | −0.407703 | + | 0.913115i | \(0.633670\pi\) |
−0.994411 | + | 0.105581i | \(0.966330\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.0431415 | − | 0.132776i | 0.00310539 | − | 0.00955741i | −0.949492 | − | 0.313792i | \(-0.898401\pi\) |
0.952597 | + | 0.304234i | \(0.0984006\pi\) | |||||||
\(194\) | 11.6425 | − | 8.45878i | 0.835884 | − | 0.607305i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.0369604 | + | 0.113752i | 0.00264003 | + | 0.00812517i | ||||
\(197\) | −14.6113 | −1.04101 | −0.520505 | − | 0.853859i | \(-0.674256\pi\) | ||||
−0.520505 | + | 0.853859i | \(0.674256\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −26.4702 | −1.87642 | −0.938210 | − | 0.346066i | \(-0.887517\pi\) | ||||
−0.938210 | + | 0.346066i | \(0.887517\pi\) | |||||||
\(200\) | 0.590516 | + | 1.81742i | 0.0417558 | + | 0.128511i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −11.7164 | + | 8.51249i | −0.824366 | + | 0.598937i | ||||
\(203\) | 2.74018 | − | 8.43342i | 0.192323 | − | 0.591910i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 23.0921 | − | 16.7774i | 1.61282 | − | 1.17178i | ||||
\(206\) | −0.775918 | − | 0.563737i | −0.0540608 | − | 0.0392775i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 3.85216 | 0.267099 | ||||||||
\(209\) | −1.99819 | − | 1.25436i | −0.138218 | − | 0.0867659i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.42690 | + | 16.7023i | 0.373603 | + | 1.14983i | 0.944416 | + | 0.328753i | \(0.106628\pi\) |
−0.570812 | + | 0.821080i | \(0.693372\pi\) | |||||||
\(212\) | −0.635296 | − | 0.461570i | −0.0436323 | − | 0.0317007i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.127360 | − | 0.391973i | 0.00870613 | − | 0.0267947i | ||||
\(215\) | −5.54411 | + | 17.0630i | −0.378105 | + | 1.16369i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.36076 | − | 3.89482i | −0.363912 | − | 0.264398i | ||||
\(218\) | 4.03988 | + | 12.4335i | 0.273615 | + | 0.842100i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.352906 | − | 0.878699i | −0.0237929 | − | 0.0592419i | ||||
\(221\) | −1.99371 | −0.134111 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −18.2707 | − | 13.2745i | −1.22350 | − | 0.888924i | −0.227113 | − | 0.973868i | \(-0.572929\pi\) |
−0.996386 | + | 0.0849449i | \(0.972929\pi\) | |||||||
\(224\) | 0.546657 | − | 0.397170i | 0.0365251 | − | 0.0265370i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.598081 | − | 1.84070i | 0.0397838 | − | 0.122442i | ||||
\(227\) | 17.7752 | − | 12.9145i | 1.17978 | − | 0.857163i | 0.187636 | − | 0.982239i | \(-0.439917\pi\) |
0.992147 | + | 0.125076i | \(0.0399174\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 7.22491 | + | 22.2360i | 0.477435 | + | 1.46939i | 0.842645 | + | 0.538469i | \(0.180997\pi\) |
−0.365210 | + | 0.930925i | \(0.619003\pi\) | |||||||
\(230\) | 27.1234 | 1.78846 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −24.2758 | −1.59379 | ||||||||
\(233\) | 0.322351 | + | 0.992094i | 0.0211179 | + | 0.0649942i | 0.961060 | − | 0.276339i | \(-0.0891214\pi\) |
−0.939942 | + | 0.341334i | \(0.889121\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −12.1117 | + | 8.79968i | −0.790082 | + | 0.574028i | ||||
\(236\) | 0.355674 | − | 1.09465i | 0.0231524 | − | 0.0712558i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −2.57549 | + | 1.87121i | −0.166944 | + | 0.121292i | ||||
\(239\) | −10.0431 | − | 7.29676i | −0.649636 | − | 0.471988i | 0.213511 | − | 0.976941i | \(-0.431510\pi\) |
−0.863147 | + | 0.504952i | \(0.831510\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 9.42435 | 0.607076 | 0.303538 | − | 0.952819i | \(-0.401832\pi\) | ||||
0.303538 | + | 0.952819i | \(0.401832\pi\) | |||||||
\(242\) | −6.96082 | − | 14.4229i | −0.447458 | − | 0.927138i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.00231962 | − | 0.00713907i | −0.000148499 | − | 0.000457032i | ||||
\(245\) | 1.93117 | + | 1.40308i | 0.123378 | + | 0.0896392i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.200425 | + | 0.616845i | −0.0127527 | + | 0.0392489i | ||||
\(248\) | −5.60567 | + | 17.2525i | −0.355961 | + | 1.09553i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 12.0953 | + | 8.78772i | 0.764971 | + | 0.555784i | ||||
\(251\) | 0.949360 | + | 2.92183i | 0.0599231 | + | 0.184424i | 0.976537 | − | 0.215349i | \(-0.0690889\pi\) |
−0.916614 | + | 0.399773i | \(0.869089\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 25.8258 | − | 1.75226i | 1.62365 | − | 0.110163i | ||||
\(254\) | 31.7924 | 1.99483 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −2.31418 | − | 1.68135i | −0.144637 | − | 0.105085i | ||||
\(257\) | 0.506660 | − | 0.368110i | 0.0316046 | − | 0.0229621i | −0.571871 | − | 0.820344i | \(-0.693782\pi\) |
0.603475 | + | 0.797382i | \(0.293782\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.29958 | − | 3.99968i | 0.0807517 | − | 0.248528i | ||||
\(260\) | −0.210601 | + | 0.153011i | −0.0130609 | + | 0.00948933i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −4.14904 | − | 12.7694i | −0.256329 | − | 0.788899i | ||||
\(263\) | −1.02517 | −0.0632149 | −0.0316074 | − | 0.999500i | \(-0.510063\pi\) | ||||
−0.0316074 | + | 0.999500i | \(0.510063\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −15.6721 | −0.962729 | ||||||||
\(266\) | 0.320031 | + | 0.984955i | 0.0196224 | + | 0.0603915i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.09627 | − | 0.796488i | 0.0669654 | − | 0.0486532i | ||||
\(269\) | −9.89057 | + | 30.4400i | −0.603039 | + | 1.85596i | −0.0932899 | + | 0.995639i | \(0.529738\pi\) |
−0.509749 | + | 0.860323i | \(0.670262\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.81798 | + | 3.50047i | −0.292672 | + | 0.212638i | −0.724426 | − | 0.689353i | \(-0.757895\pi\) |
0.431754 | + | 0.901991i | \(0.357895\pi\) | |||||||
\(272\) | 7.47395 | + | 5.43014i | 0.453175 | + | 0.329251i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.98092 | −0.180084 | ||||||||
\(275\) | −1.96077 | − | 1.23087i | −0.118239 | − | 0.0742243i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.394833 | − | 1.21517i | −0.0237232 | − | 0.0730126i | 0.938494 | − | 0.345296i | \(-0.112221\pi\) |
−0.962217 | + | 0.272283i | \(0.912221\pi\) | |||||||
\(278\) | −15.1298 | − | 10.9924i | −0.907424 | − | 0.659282i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 2.01939 | − | 6.21506i | 0.120682 | − | 0.371421i | ||||
\(281\) | 1.37516 | − | 4.23230i | 0.0820351 | − | 0.252478i | −0.901624 | − | 0.432522i | \(-0.857624\pi\) |
0.983659 | + | 0.180044i | \(0.0576239\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −18.4427 | − | 13.3994i | −1.09630 | − | 0.796512i | −0.115852 | − | 0.993266i | \(-0.536960\pi\) |
−0.980453 | + | 0.196755i | \(0.936960\pi\) | |||||||
\(284\) | 0.220633 | + | 0.679039i | 0.0130922 | + | 0.0402935i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −3.37845 | + | 2.82297i | −0.199772 | + | 0.166926i | ||||
\(287\) | −11.9576 | −0.705834 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 9.88510 | + | 7.18194i | 0.581476 | + | 0.422467i | ||||
\(290\) | 24.9313 | − | 18.1137i | 1.46402 | − | 1.06367i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.162147 | + | 0.499038i | −0.00948895 | + | 0.0292040i | ||||
\(293\) | −6.79036 | + | 4.93348i | −0.396697 | + | 0.288217i | −0.768194 | − | 0.640217i | \(-0.778844\pi\) |
0.371497 | + | 0.928434i | \(0.378844\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −7.09840 | − | 21.8466i | −0.413285 | − | 1.27196i | ||||
\(296\) | −11.5132 | −0.669190 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 22.3408 | 1.29417 | ||||||||
\(299\) | −2.19899 | − | 6.76780i | −0.127171 | − | 0.391392i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 6.08058 | − | 4.41780i | 0.350479 | − | 0.254638i | ||||
\(302\) | 3.10848 | − | 9.56690i | 0.178873 | − | 0.550514i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 2.43140 | − | 1.76652i | 0.139451 | − | 0.101317i | ||||
\(305\) | −0.121200 | − | 0.0880567i | −0.00693987 | − | 0.00504211i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 11.0560 | 0.630999 | 0.315500 | − | 0.948926i | \(-0.397828\pi\) | ||||
0.315500 | + | 0.948926i | \(0.397828\pi\) | |||||||
\(308\) | −0.0967635 | + | 0.384707i | −0.00551361 | + | 0.0219207i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −7.11609 | − | 21.9011i | −0.404166 | − | 1.24390i | ||||
\(311\) | −18.2768 | − | 13.2789i | −1.03638 | − | 0.752976i | −0.0668061 | − | 0.997766i | \(-0.521281\pi\) |
−0.969576 | + | 0.244790i | \(0.921281\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.787589 | − | 2.42395i | 0.0445172 | − | 0.137010i | −0.926328 | − | 0.376719i | \(-0.877052\pi\) |
0.970845 | + | 0.239709i | \(0.0770522\pi\) | |||||||
\(314\) | 4.20093 | − | 12.9291i | 0.237072 | − | 0.729634i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.470004 | + | 0.341478i | 0.0264398 | + | 0.0192096i | ||||
\(317\) | −9.68566 | − | 29.8094i | −0.544001 | − | 1.67426i | −0.723354 | − | 0.690477i | \(-0.757401\pi\) |
0.179353 | − | 0.983785i | \(-0.442599\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 22.5683 | − | 18.8577i | 1.26358 | − | 1.05583i | ||||
\(320\) | −17.8219 | −0.996274 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −9.19262 | − | 6.67883i | −0.512285 | − | 0.372197i | ||||
\(323\) | −1.25839 | + | 0.914274i | −0.0700187 | + | 0.0508716i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.196672 | + | 0.605293i | −0.0109094 | + | 0.0335756i | ||||
\(326\) | 12.2859 | − | 8.92626i | 0.680455 | − | 0.494380i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 10.1159 | + | 31.1334i | 0.558555 | + | 1.71905i | ||||
\(329\) | 6.27171 | 0.345771 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.82789 | −0.265365 | −0.132682 | − | 0.991159i | \(-0.542359\pi\) | ||||
−0.132682 | + | 0.991159i | \(0.542359\pi\) | |||||||
\(332\) | −0.371414 | − | 1.14309i | −0.0203840 | − | 0.0627354i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1.59174 | + | 1.15647i | −0.0870963 | + | 0.0632791i | ||||
\(335\) | 8.35701 | − | 25.7202i | 0.456592 | − | 1.40525i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −17.0827 | + | 12.4113i | −0.930551 | + | 0.676085i | −0.946128 | − | 0.323794i | \(-0.895042\pi\) |
0.0155765 | + | 0.999879i | \(0.495042\pi\) | |||||||
\(338\) | −14.3327 | − | 10.4133i | −0.779597 | − | 0.566410i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.624297 | −0.0338573 | ||||||||
\(341\) | −8.19052 | − | 20.3936i | −0.443541 | − | 1.10437i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −0.309017 | − | 0.951057i | −0.0166853 | − | 0.0513522i | ||||
\(344\) | −16.6464 | − | 12.0943i | −0.897516 | − | 0.652084i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 8.76639 | − | 26.9802i | 0.471284 | − | 1.45046i | ||||
\(347\) | 3.83957 | − | 11.8170i | 0.206119 | − | 0.634369i | −0.793547 | − | 0.608510i | \(-0.791768\pi\) |
0.999666 | − | 0.0258596i | \(-0.00823228\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −13.7276 | − | 9.97368i | −0.734821 | − | 0.533879i | 0.156264 | − | 0.987715i | \(-0.450055\pi\) |
−0.891085 | + | 0.453836i | \(0.850055\pi\) | |||||||
\(350\) | 0.314038 | + | 0.966510i | 0.0167861 | + | 0.0516622i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 2.23592 | − | 0.151705i | 0.119175 | − | 0.00808592i | ||||
\(353\) | 4.57101 | 0.243291 | 0.121645 | − | 0.992574i | \(-0.461183\pi\) | ||||
0.121645 | + | 0.992574i | \(0.461183\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 11.5280 | + | 8.37558i | 0.611843 | + | 0.444530i | ||||
\(356\) | −0.0253070 | + | 0.0183866i | −0.00134127 | + | 0.000974489i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −5.78298 | + | 17.7982i | −0.305640 | + | 0.940663i | ||||
\(359\) | −25.0580 | + | 18.2057i | −1.32251 | + | 0.960858i | −0.322611 | + | 0.946532i | \(0.604560\pi\) |
−0.999897 | + | 0.0143267i | \(0.995440\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.71496 | − | 17.5888i | −0.300787 | − | 0.925728i | ||||
\(362\) | −20.9282 | −1.09996 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.109054 | 0.00571598 | ||||||||
\(365\) | 3.23607 | + | 9.95959i | 0.169384 | + | 0.521309i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −11.9267 | + | 8.66525i | −0.622568 | + | 0.452322i | −0.853818 | − | 0.520572i | \(-0.825719\pi\) |
0.231250 | + | 0.972894i | \(0.425719\pi\) | |||||||
\(368\) | −10.1895 | + | 31.3601i | −0.531165 | + | 1.63476i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 11.8241 | − | 8.59068i | 0.614703 | − | 0.446608i | ||||
\(371\) | 5.31156 | + | 3.85908i | 0.275763 | + | 0.200353i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −12.5701 | −0.650853 | −0.325427 | − | 0.945567i | \(-0.605508\pi\) | ||||
−0.325427 | + | 0.945567i | \(0.605508\pi\) | |||||||
\(374\) | −10.5342 | + | 0.714737i | −0.544711 | + | 0.0369582i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −5.30573 | − | 16.3293i | −0.273622 | − | 0.842122i | ||||
\(377\) | −6.54097 | − | 4.75229i | −0.336877 | − | 0.244755i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.95477 | − | 15.2492i | 0.254509 | − | 0.783299i | −0.739417 | − | 0.673248i | \(-0.764899\pi\) |
0.993926 | − | 0.110051i | \(-0.0351014\pi\) | |||||||
\(380\) | −0.0627598 | + | 0.193155i | −0.00321951 | + | 0.00990862i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 28.2116 | + | 20.4969i | 1.44343 | + | 1.04871i | ||||
\(383\) | 0.868408 | + | 2.67268i | 0.0443736 | + | 0.136568i | 0.970789 | − | 0.239936i | \(-0.0771263\pi\) |
−0.926415 | + | 0.376503i | \(0.877126\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.95056 | + | 7.34660i | 0.150375 | + | 0.374417i | ||||
\(386\) | −0.203254 | −0.0103454 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.956474 | − | 0.694919i | −0.0485576 | − | 0.0352792i | ||||
\(389\) | −16.6698 | + | 12.1113i | −0.845191 | + | 0.614067i | −0.923816 | − | 0.382837i | \(-0.874947\pi\) |
0.0786246 | + | 0.996904i | \(0.474947\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5.27365 | − | 16.2306i | 0.266700 | − | 0.820819i | ||||
\(392\) | −2.21480 | + | 1.60914i | −0.111864 | + | 0.0812741i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 6.57352 | + | 20.2312i | 0.331169 | + | 1.01923i | ||||
\(395\) | 11.5945 | 0.583383 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 28.6588 | 1.43834 | 0.719171 | − | 0.694833i | \(-0.244522\pi\) | ||||
0.719171 | + | 0.694833i | \(0.244522\pi\) | |||||||
\(398\) | 11.9088 | + | 36.6514i | 0.596932 | + | 1.83717i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.38587 | − | 1.73344i | 0.119294 | − | 0.0866719i | ||||
\(401\) | 6.89590 | − | 21.2234i | 0.344365 | − | 1.05985i | −0.617558 | − | 0.786525i | \(-0.711878\pi\) |
0.961923 | − | 0.273320i | \(-0.0881219\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −4.88780 | + | 3.55120i | −0.243479 | + | 0.176898i | ||||
\(404\) | 0.962547 | + | 0.699332i | 0.0478885 | + | 0.0347930i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −12.9100 | −0.640711 | ||||||||
\(407\) | 10.7034 | − | 8.94356i | 0.530547 | − | 0.443316i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 5.07901 | + | 15.6316i | 0.251141 | + | 0.772932i | 0.994566 | + | 0.104112i | \(0.0332002\pi\) |
−0.743425 | + | 0.668820i | \(0.766800\pi\) | |||||||
\(410\) | −33.6195 | − | 24.4260i | −1.66035 | − | 1.20631i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.0243482 | + | 0.0749361i | −0.00119955 | + | 0.00369184i | ||||
\(413\) | −2.97371 | + | 9.15213i | −0.146327 | + | 0.450347i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −19.4062 | − | 14.0995i | −0.952614 | − | 0.692115i | ||||
\(416\) | −0.190382 | − | 0.585937i | −0.00933427 | − | 0.0287279i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.837853 | + | 3.33108i | −0.0409807 | + | 0.162929i | ||||
\(419\) | 12.7725 | 0.623975 | 0.311988 | − | 0.950086i | \(-0.399005\pi\) | ||||
0.311988 | + | 0.950086i | \(0.399005\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −8.73995 | − | 6.34994i | −0.425959 | − | 0.309477i | 0.354072 | − | 0.935218i | \(-0.384797\pi\) |
−0.780031 | + | 0.625741i | \(0.784797\pi\) | |||||||
\(422\) | 20.6850 | − | 15.0285i | 1.00693 | − | 0.731577i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 5.55422 | − | 17.0941i | 0.269737 | − | 0.830165i | ||||
\(425\) | −1.23482 | + | 0.897153i | −0.0598978 | + | 0.0435183i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.0193938 | + | 0.0596881i | 0.000938533 | + | 0.00288851i | ||||
\(428\) | −0.0338592 | −0.00163664 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 26.1202 | 1.25963 | ||||||||
\(431\) | −8.51018 | − | 26.1916i | −0.409921 | − | 1.26161i | −0.916716 | − | 0.399540i | \(-0.869170\pi\) |
0.506795 | − | 0.862067i | \(-0.330830\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −12.3456 | + | 8.96963i | −0.593293 | + | 0.431053i | −0.843492 | − | 0.537142i | \(-0.819504\pi\) |
0.250199 | + | 0.968194i | \(0.419504\pi\) | |||||||
\(434\) | −2.98112 | + | 9.17493i | −0.143098 | + | 0.440411i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.868900 | − | 0.631293i | 0.0416128 | − | 0.0302334i | ||||
\(437\) | −4.49153 | − | 3.26329i | −0.214859 | − | 0.156104i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −28.5500 | −1.36262 | −0.681308 | − | 0.731997i | \(-0.738589\pi\) | ||||
−0.681308 | + | 0.731997i | \(0.738589\pi\) | |||||||
\(440\) | 16.6319 | − | 13.8973i | 0.792893 | − | 0.662527i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.896958 | + | 2.76055i | 0.0426639 | + | 0.131306i | ||||
\(443\) | 9.16700 | + | 6.66021i | 0.435537 | + | 0.316436i | 0.783859 | − | 0.620939i | \(-0.213248\pi\) |
−0.348322 | + | 0.937375i | \(0.613248\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.192919 | + | 0.593742i | −0.00914521 | + | 0.0281461i | ||||
\(446\) | −10.1603 | + | 31.2703i | −0.481106 | + | 1.48069i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 6.04017 | + | 4.38844i | 0.285371 | + | 0.207334i | ||||
\(449\) | 8.31156 | + | 25.5804i | 0.392247 | + | 1.20721i | 0.931085 | + | 0.364802i | \(0.118863\pi\) |
−0.538838 | + | 0.842409i | \(0.681137\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −33.5891 | − | 21.0855i | −1.58165 | − | 0.992877i | ||||
\(452\) | −0.159003 | −0.00747885 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −25.8787 | − | 18.8020i | −1.21455 | − | 0.882421i | ||||
\(455\) | 1.76079 | − | 1.27929i | 0.0825470 | − | 0.0599739i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −8.95205 | + | 27.5516i | −0.418759 | + | 1.28881i | 0.490086 | + | 0.871674i | \(0.336966\pi\) |
−0.908845 | + | 0.417134i | \(0.863034\pi\) | |||||||
\(458\) | 27.5382 | − | 20.0077i | 1.28677 | − | 0.934896i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.688578 | − | 2.11922i | −0.0321051 | − | 0.0988093i | ||||
\(461\) | 41.9375 | 1.95322 | 0.976612 | − | 0.215008i | \(-0.0689778\pi\) | ||||
0.976612 | + | 0.215008i | \(0.0689778\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −1.14904 | −0.0534005 | −0.0267003 | − | 0.999643i | \(-0.508500\pi\) | ||||
−0.0267003 | + | 0.999643i | \(0.508500\pi\) | |||||||
\(464\) | 11.5770 | + | 35.6304i | 0.537450 | + | 1.65410i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.22866 | − | 0.892674i | 0.0569166 | − | 0.0413523i | ||||
\(467\) | −9.14340 | + | 28.1405i | −0.423106 | + | 1.30219i | 0.481690 | + | 0.876342i | \(0.340023\pi\) |
−0.904796 | + | 0.425845i | \(0.859977\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −9.16566 | + | 6.65924i | −0.423231 | + | 0.307495i | ||||
\(470\) | 17.6333 | + | 12.8113i | 0.813363 | + | 0.590943i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 26.3446 | 1.21261 | ||||||||
\(473\) | 24.8706 | − | 1.68745i | 1.14355 | − | 0.0775890i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.153440 | + | 0.472239i | 0.00704029 | + | 0.0216678i | ||||
\(476\) | 0.211586 | + | 0.153726i | 0.00969803 | + | 0.00704603i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −5.58498 | + | 17.1888i | −0.255451 | + | 0.786197i | ||||
\(479\) | 3.14358 | − | 9.67494i | 0.143634 | − | 0.442059i | −0.853199 | − | 0.521586i | \(-0.825341\pi\) |
0.996833 | + | 0.0795262i | \(0.0253407\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.10216 | − | 2.25385i | −0.141446 | − | 0.102767i | ||||
\(482\) | −4.23995 | − | 13.0492i | −0.193125 | − | 0.594377i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.950185 | + | 0.910019i | −0.0431902 | + | 0.0413645i | ||||
\(485\) | −23.5952 | −1.07140 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −35.4609 | − | 25.7638i | −1.60689 | − | 1.16747i | −0.872324 | − | 0.488929i | \(-0.837388\pi\) |
−0.734562 | − | 0.678542i | \(-0.762612\pi\) | |||||||
\(488\) | 0.139000 | − | 0.100990i | 0.00629224 | − | 0.00457158i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 1.07392 | − | 3.30519i | 0.0485148 | − | 0.149313i | ||||
\(491\) | 15.4690 | − | 11.2389i | 0.698106 | − | 0.507204i | −0.181209 | − | 0.983445i | \(-0.558001\pi\) |
0.879315 | + | 0.476241i | \(0.158001\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −5.99177 | − | 18.4408i | −0.269856 | − | 0.830530i | ||||
\(494\) | 0.944272 | 0.0424848 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 27.9954 | 1.25703 | ||||||||
\(497\) | −1.84466 | − | 5.67728i | −0.0827443 | − | 0.254661i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −16.5825 | + | 12.0479i | −0.742335 | + | 0.539338i | −0.893441 | − | 0.449180i | \(-0.851716\pi\) |
0.151107 | + | 0.988517i | \(0.451716\pi\) | |||||||
\(500\) | 0.379548 | − | 1.16813i | 0.0169739 | − | 0.0522403i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 3.61854 | − | 2.62903i | 0.161504 | − | 0.117339i | ||||
\(503\) | 15.3547 | + | 11.1558i | 0.684632 | + | 0.497414i | 0.874891 | − | 0.484320i | \(-0.160933\pi\) |
−0.190259 | + | 0.981734i | \(0.560933\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 23.7450 | 1.05664 | ||||||||
\(506\) | −14.0451 | − | 34.9708i | −0.624380 | − | 1.55464i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.807110 | − | 2.48403i | −0.0358097 | − | 0.110211i | ||||
\(509\) | 19.0562 | + | 13.8451i | 0.844652 | + | 0.613675i | 0.923666 | − | 0.383198i | \(-0.125177\pi\) |
−0.0790145 | + | 0.996873i | \(0.525177\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.35567 | − | 4.17234i | 0.0599715 | − | 0.184573i | ||||
\(512\) | 6.26617 | − | 19.2853i | 0.276928 | − | 0.852298i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.737640 | − | 0.535927i | −0.0325359 | − | 0.0236387i | ||||
\(515\) | 0.485932 | + | 1.49554i | 0.0214127 | + | 0.0659015i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 17.6173 | + | 11.0593i | 0.774810 | + | 0.486386i | ||||
\(518\) | −6.12275 | −0.269018 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −4.82040 | − | 3.50223i | −0.211389 | − | 0.153583i | ||||
\(521\) | −4.11827 | + | 2.99210i | −0.180425 | + | 0.131086i | −0.674332 | − | 0.738428i | \(-0.735568\pi\) |
0.493907 | + | 0.869515i | \(0.335568\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 7.03841 | − | 21.6620i | 0.307768 | − | 0.947213i | −0.670861 | − | 0.741583i | \(-0.734075\pi\) |
0.978630 | − | 0.205631i | \(-0.0659245\pi\) | |||||||
\(524\) | −0.892380 | + | 0.648352i | −0.0389838 | + | 0.0283234i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.461219 | + | 1.41949i | 0.0201101 | + | 0.0618925i | ||||
\(527\) | −14.4892 | −0.631159 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 37.9128 | 1.64838 | ||||||||
\(530\) | 7.05077 | + | 21.7001i | 0.306266 | + | 0.942590i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.0688326 | − | 0.0500098i | 0.00298427 | − | 0.00216820i | ||||
\(533\) | −3.36909 | + | 10.3690i | −0.145932 | + | 0.449131i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.546691 | + | 0.397194i | −0.0236355 | + | 0.0171722i | ||||
\(536\) | 25.0923 | + | 18.2306i | 1.08382 | + | 0.787443i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 46.5979 | 2.00898 | ||||||||
\(539\) | 0.809017 | − | 3.21644i | 0.0348468 | − | 0.138542i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −3.53564 | − | 10.8816i | −0.152009 | − | 0.467836i | 0.845836 | − | 0.533442i | \(-0.179102\pi\) |
−0.997846 | + | 0.0656062i | \(0.979102\pi\) | |||||||
\(542\) | 7.01444 | + | 5.09629i | 0.301296 | + | 0.218904i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.456578 | − | 1.40520i | 0.0195756 | − | 0.0602476i | ||||
\(545\) | 6.62373 | − | 20.3857i | 0.283729 | − | 0.873229i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −3.07176 | − | 2.23176i | −0.131339 | − | 0.0954234i | 0.520176 | − | 0.854059i | \(-0.325866\pi\) |
−0.651515 | + | 0.758636i | \(0.725866\pi\) | |||||||
\(548\) | 0.0756762 | + | 0.232907i | 0.00323273 | + | 0.00994931i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.822163 | + | 3.26871i | −0.0350571 | + | 0.139378i | ||||
\(551\) | −6.30783 | −0.268723 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −3.92960 | − | 2.85502i | −0.167103 | − | 0.121408i | ||||
\(554\) | −1.50493 | + | 1.09340i | −0.0639384 | + | 0.0464539i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −0.474771 | + | 1.46119i | −0.0201348 | + | 0.0619684i | ||||
\(557\) | −2.82296 | + | 2.05100i | −0.119613 | + | 0.0869037i | −0.645983 | − | 0.763352i | \(-0.723552\pi\) |
0.526371 | + | 0.850255i | \(0.323552\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −2.11766 | − | 6.51750i | −0.0895676 | − | 0.275661i | ||||
\(560\) | −10.0851 | −0.426172 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −6.47885 | −0.273294 | ||||||||
\(563\) | 8.70251 | + | 26.7836i | 0.366767 | + | 1.12879i | 0.948867 | + | 0.315676i | \(0.102231\pi\) |
−0.582100 | + | 0.813117i | \(0.697769\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −2.56726 | + | 1.86522i | −0.108005 | + | 0.0784706i | ||||
\(566\) | −10.2560 | + | 31.5646i | −0.431091 | + | 1.32676i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −13.2211 | + | 9.60570i | −0.554746 | + | 0.403046i | ||||
\(569\) | 17.4741 | + | 12.6957i | 0.732552 | + | 0.532230i | 0.890370 | − | 0.455238i | \(-0.150446\pi\) |
−0.157818 | + | 0.987468i | \(0.550446\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 14.4959 | 0.606636 | 0.303318 | − | 0.952889i | \(-0.401906\pi\) | ||||
0.303318 | + | 0.952889i | \(0.401906\pi\) | |||||||
\(572\) | 0.306334 | + | 0.192301i | 0.0128085 | + | 0.00804050i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 5.37965 | + | 16.5568i | 0.224542 | + | 0.691070i | ||||
\(575\) | −4.40742 | − | 3.20218i | −0.183802 | − | 0.133540i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 1.56697 | − | 4.82263i | 0.0652337 | − | 0.200769i | −0.913127 | − | 0.407675i | \(-0.866340\pi\) |
0.978361 | + | 0.206906i | \(0.0663396\pi\) | |||||||
\(578\) | 5.49710 | − | 16.9183i | 0.228649 | − | 0.703709i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −2.04820 | − | 1.48810i | −0.0850467 | − | 0.0617900i | ||||
\(581\) | 3.10530 | + | 9.55713i | 0.128830 | + | 0.396497i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 8.11534 | + | 20.2064i | 0.336103 | + | 0.836863i | ||||
\(584\) | −12.0102 | −0.496985 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 9.88599 | + | 7.18259i | 0.408387 | + | 0.296710i | ||||
\(587\) | −35.1036 | + | 25.5043i | −1.44888 | + | 1.05267i | −0.462791 | + | 0.886468i | \(0.653152\pi\) |
−0.986091 | + | 0.166207i | \(0.946848\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.45658 | + | 4.48289i | −0.0600173 | + | 0.184714i | ||||
\(590\) | −27.0560 | + | 19.6573i | −1.11388 | + | 0.809280i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 5.49058 | + | 16.8983i | 0.225662 | + | 0.694515i | ||||
\(593\) | 31.4532 | 1.29163 | 0.645815 | − | 0.763494i | \(-0.276518\pi\) | ||||
0.645815 | + | 0.763494i | \(0.276518\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.21960 | 0.213983 | ||||||||
\(596\) | −0.567162 | − | 1.74554i | −0.0232318 | − | 0.0715003i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −8.38159 | + | 6.08958i | −0.342749 | + | 0.249022i | ||||
\(599\) | 6.85530 | − | 21.0984i | 0.280100 | − | 0.862059i | −0.707725 | − | 0.706488i | \(-0.750278\pi\) |
0.987825 | − | 0.155571i | \(-0.0497216\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −26.0651 | + | 18.9374i | −1.06322 | + | 0.772471i | −0.974681 | − | 0.223602i | \(-0.928219\pi\) |
−0.0885351 | + | 0.996073i | \(0.528219\pi\) | |||||||
\(602\) | −8.85264 | − | 6.43182i | −0.360807 | − | 0.262141i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.826403 | −0.0336258 | ||||||||
\(605\) | −4.66649 | + | 25.8396i | −0.189720 | + | 1.05053i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 9.34878 | + | 28.7726i | 0.379455 | + | 1.16784i | 0.940423 | + | 0.340006i | \(0.110429\pi\) |
−0.560968 | + | 0.827837i | \(0.689571\pi\) | |||||||
\(608\) | −0.388864 | − | 0.282526i | −0.0157705 | − | 0.0114579i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.0673990 | + | 0.207433i | −0.00272891 | + | 0.00839871i | ||||
\(611\) | 1.76708 | − | 5.43850i | 0.0714883 | − | 0.220018i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 3.38945 | + | 2.46258i | 0.136899 | + | 0.0994627i | 0.654127 | − | 0.756385i | \(-0.273036\pi\) |
−0.517228 | + | 0.855847i | \(0.673036\pi\) | |||||||
\(614\) | −4.97402 | − | 15.3085i | −0.200735 | − | 0.617800i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −9.05890 | + | 0.614639i | −0.364993 | + | 0.0247645i | ||||
\(617\) | 31.1457 | 1.25388 | 0.626939 | − | 0.779068i | \(-0.284307\pi\) | ||||
0.626939 | + | 0.779068i | \(0.284307\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 38.7065 | + | 28.1219i | 1.55575 | + | 1.13032i | 0.939391 | + | 0.342849i | \(0.111392\pi\) |
0.616356 | + | 0.787468i | \(0.288608\pi\) | |||||||
\(620\) | −1.53053 | + | 1.11200i | −0.0614677 | + | 0.0446589i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −10.1637 | + | 31.2807i | −0.407528 | + | 1.25424i | ||||
\(623\) | 0.211586 | − | 0.153726i | 0.00847701 | − | 0.00615891i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −8.65337 | − | 26.6323i | −0.346135 | − | 1.06529i | ||||
\(626\) | −3.71061 | −0.148306 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −1.11684 | −0.0445667 | ||||||||
\(629\) | −2.84169 | − | 8.74582i | −0.113306 | − | 0.348719i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −3.24975 | + | 2.36108i | −0.129371 | + | 0.0939932i | −0.650589 | − | 0.759430i | \(-0.725478\pi\) |
0.521218 | + | 0.853423i | \(0.325478\pi\) | |||||||
\(632\) | −4.10912 | + | 12.6466i | −0.163452 | + | 0.503054i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −36.9175 | + | 26.8221i | −1.46618 | + | 1.06524i | ||||
\(635\) | −42.1712 | − | 30.6392i | −1.67351 | − | 1.21588i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.911774 | −0.0361258 | ||||||||
\(638\) | −36.2643 | − | 22.7649i | −1.43572 | − | 0.901269i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 9.01482 | + | 27.7447i | 0.356342 | + | 1.09671i | ||||
\(641\) | 22.3978 | + | 16.2730i | 0.884661 | + | 0.642744i | 0.934480 | − | 0.356015i | \(-0.115865\pi\) |
−0.0498197 | + | 0.998758i | \(0.515865\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1.31577 | + | 4.04952i | −0.0518888 | + | 0.159697i | −0.973643 | − | 0.228077i | \(-0.926756\pi\) |
0.921754 | + | 0.387775i | \(0.126756\pi\) | |||||||
\(644\) | −0.288463 | + | 0.887799i | −0.0113670 | + | 0.0349842i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1.83207 | + | 1.33108i | 0.0720820 | + | 0.0523706i | ||||
\(647\) | −1.62080 | − | 4.98832i | −0.0637203 | − | 0.196111i | 0.914128 | − | 0.405426i | \(-0.132877\pi\) |
−0.977848 | + | 0.209315i | \(0.932877\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −24.4917 | + | 20.4648i | −0.961382 | + | 0.803313i | ||||
\(650\) | 0.926589 | 0.0363438 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.00933 | − | 0.733324i | −0.0395286 | − | 0.0287192i | ||||
\(653\) | −7.95843 | + | 5.78214i | −0.311437 | + | 0.226273i | −0.732513 | − | 0.680753i | \(-0.761653\pi\) |
0.421076 | + | 0.907026i | \(0.361653\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −6.80272 | + | 20.9366i | −0.265804 | + | 0.818061i | ||||
\(656\) | 40.8713 | − | 29.6947i | 1.59576 | − | 1.15939i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.82160 | − | 8.68400i | −0.109998 | − | 0.338538i | ||||
\(659\) | −50.5575 | −1.96944 | −0.984720 | − | 0.174145i | \(-0.944284\pi\) | ||||
−0.984720 | + | 0.174145i | \(0.944284\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 22.9751 | 0.893629 | 0.446814 | − | 0.894627i | \(-0.352558\pi\) | ||||
0.446814 | + | 0.894627i | \(0.352558\pi\) | |||||||
\(662\) | 2.17204 | + | 6.68485i | 0.0844187 | + | 0.259814i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 22.2564 | − | 16.1702i | 0.863717 | − | 0.627527i | ||||
\(665\) | 0.524719 | − | 1.61492i | 0.0203477 | − | 0.0626239i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 55.9898 | − | 40.6790i | 2.16794 | − | 1.57510i | ||||
\(668\) | 0.130767 | + | 0.0950080i | 0.00505954 | + | 0.00367597i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −39.3728 | −1.52110 | ||||||||
\(671\) | −0.0507737 | + | 0.201863i | −0.00196010 | + | 0.00779284i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −6.75838 | − | 20.8001i | −0.260516 | − | 0.801787i | −0.992693 | − | 0.120671i | \(-0.961495\pi\) |
0.732176 | − | 0.681115i | \(-0.238505\pi\) | |||||||
\(674\) | 24.8704 | + | 18.0694i | 0.957972 | + | 0.696008i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −0.449759 | + | 1.38421i | −0.0172984 | + | 0.0532390i | ||||
\(677\) | 4.53378 | − | 13.9535i | 0.174247 | − | 0.536278i | −0.825351 | − | 0.564620i | \(-0.809023\pi\) |
0.999598 | + | 0.0283421i | \(0.00902278\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 7.99686 | + | 5.81006i | 0.306891 | + | 0.222969i | ||||
\(680\) | −4.41567 | − | 13.5900i | −0.169333 | − | 0.521154i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −24.5527 | + | 20.5158i | −0.940171 | + | 0.785589i | ||||
\(683\) | 9.70579 | 0.371382 | 0.185691 | − | 0.982608i | \(-0.440548\pi\) | ||||
0.185691 | + | 0.982608i | \(0.440548\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.95406 | + | 2.87279i | 0.151077 | + | 0.109764i | ||||
\(686\) | −1.17784 | + | 0.855749i | −0.0449700 | + | 0.0326726i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −9.81266 | + | 30.2003i | −0.374104 | + | 1.15137i | ||||
\(689\) | 4.84294 | − | 3.51860i | 0.184501 | − | 0.134048i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −13.4987 | − | 41.5449i | −0.513516 | − | 1.58044i | −0.785965 | − | 0.618271i | \(-0.787834\pi\) |
0.272449 | − | 0.962170i | \(-0.412166\pi\) | |||||||
\(692\) | −2.33058 | −0.0885955 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −18.0896 | −0.686670 | ||||||||
\(695\) | 9.47528 | + | 29.1619i | 0.359418 | + | 1.10617i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −21.1532 | + | 15.3687i | −0.801235 | + | 0.582132i | ||||
\(698\) | −7.63391 | + | 23.4948i | −0.288948 | + | 0.889289i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.0675436 | − | 0.0490733i | 0.00255291 | − | 0.00185480i | ||||
\(701\) | −16.7650 | − | 12.1805i | −0.633207 | − | 0.460052i | 0.224303 | − | 0.974519i | \(-0.427989\pi\) |
−0.857510 | + | 0.514468i | \(0.827989\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −2.99159 | −0.112830 | ||||||||
\(704\) | 9.22856 | + | 22.9782i | 0.347814 | + | 0.866023i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −2.05647 | − | 6.32917i | −0.0773963 | − | 0.238201i | ||||
\(707\) | −8.04763 | − | 5.84694i | −0.302662 | − | 0.219897i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −5.94324 | + | 18.2914i | −0.223203 | + | 0.686949i | 0.775266 | + | 0.631635i | \(0.217616\pi\) |
−0.998469 | + | 0.0553137i | \(0.982384\pi\) | |||||||
\(710\) | 6.41071 | − | 19.7301i | 0.240590 | − | 0.740459i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −0.579246 | − | 0.420847i | −0.0217082 | − | 0.0157719i | ||||
\(713\) | −15.9811 | − | 49.1846i | −0.598495 | − | 1.84198i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 7.20192 | − | 0.488644i | 0.269337 | − | 0.0182743i | ||||
\(716\) | 1.53743 | 0.0574565 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 36.4815 | + | 26.5054i | 1.36148 | + | 0.989172i | ||||
\(719\) | −4.34430 | + | 3.15632i | −0.162015 | + | 0.117711i | −0.665839 | − | 0.746096i | \(-0.731926\pi\) |
0.503824 | + | 0.863806i | \(0.331926\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.203570 | − | 0.626523i | 0.00758133 | − | 0.0233329i | ||||
\(722\) | −21.7829 | + | 15.8262i | −0.810676 | + | 0.588990i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0.531302 | + | 1.63518i | 0.0197457 | + | 0.0607710i | ||||
\(725\) | −6.18971 | −0.229880 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 8.19052 | 0.303769 | 0.151885 | − | 0.988398i | \(-0.451466\pi\) | ||||
0.151885 | + | 0.988398i | \(0.451466\pi\) | |||||||
\(728\) | 0.771340 | + | 2.37394i | 0.0285878 | + | 0.0879841i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 12.3345 | − | 8.96152i | 0.456519 | − | 0.331681i | ||||
\(731\) | 5.07861 | − | 15.6304i | 0.187839 | − | 0.578110i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −19.6806 | + | 14.2988i | −0.726919 | + | 0.528137i | −0.888587 | − | 0.458708i | \(-0.848312\pi\) |
0.161668 | + | 0.986845i | \(0.448312\pi\) | |||||||
\(734\) | 17.3639 | + | 12.6156i | 0.640914 | + | 0.465651i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 5.27365 | 0.194389 | ||||||||
\(737\) | −37.4891 | + | 2.54360i | −1.38093 | + | 0.0936949i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −5.86182 | − | 18.0408i | −0.215630 | − | 0.663642i | −0.999108 | − | 0.0422224i | \(-0.986556\pi\) |
0.783478 | − | 0.621420i | \(-0.213444\pi\) | |||||||
\(740\) | −0.971389 | − | 0.705755i | −0.0357090 | − | 0.0259441i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 2.95376 | − | 9.09072i | 0.108436 | − | 0.333731i | ||||
\(743\) | 5.22228 | − | 16.0725i | 0.191587 | − | 0.589644i | −0.808413 | − | 0.588616i | \(-0.799673\pi\) |
0.999999 | − | 0.00102754i | \(-0.000327077\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −29.6340 | − | 21.5304i | −1.08571 | − | 0.788811i | ||||
\(746\) | 5.65519 | + | 17.4049i | 0.207051 | + | 0.637238i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.323275 | + | 0.804921i | 0.0118201 | + | 0.0294308i | ||||
\(749\) | 0.283088 | 0.0103438 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 18.2791 | + | 13.2805i | 0.667014 | + | 0.484614i | 0.869024 | − | 0.494769i | \(-0.164747\pi\) |
−0.202010 | + | 0.979383i | \(0.564747\pi\) | |||||||
\(752\) | −21.4368 | + | 15.5748i | −0.781721 | + | 0.567954i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −3.63743 | + | 11.1949i | −0.132467 | + | 0.407692i | ||||
\(755\) | −13.3431 | + | 9.69435i | −0.485606 | + | 0.352813i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1.19820 | + | 3.68767i | 0.0435492 | + | 0.134031i | 0.970467 | − | 0.241234i | \(-0.0775520\pi\) |
−0.926918 | + | 0.375264i | \(0.877552\pi\) | |||||||
\(758\) | −23.3436 | −0.847879 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −4.64859 | −0.168622 | ||||||||
\(761\) | −11.5755 | − | 35.6257i | −0.419611 | − | 1.29143i | −0.908061 | − | 0.418839i | \(-0.862437\pi\) |
0.488449 | − | 0.872592i | \(-0.337563\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −7.26467 | + | 5.27809i | −0.262999 | + | 0.191080i | ||||
\(764\) | 0.885276 | − | 2.72460i | 0.0320282 | − | 0.0985726i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 3.30999 | − | 2.40485i | 0.119595 | − | 0.0868907i | ||||
\(767\) | 7.09840 | + | 5.15729i | 0.256308 | + | 0.186219i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −20.6137 | −0.743349 | −0.371674 | − | 0.928363i | \(-0.621216\pi\) | ||||
−0.371674 | + | 0.928363i | \(0.621216\pi\) | |||||||
\(770\) | 8.84488 | − | 7.39063i | 0.318748 | − | 0.266340i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.00515999 | + | 0.0158808i | 0.000185712 | + | 0.000571563i | ||||
\(773\) | 7.31097 | + | 5.31173i | 0.262957 | + | 0.191050i | 0.711450 | − | 0.702737i | \(-0.248039\pi\) |
−0.448492 | + | 0.893787i | \(0.648039\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.42930 | + | 4.39894i | −0.0513420 | + | 0.158015i | ||||
\(776\) | 8.36220 | − | 25.7362i | 0.300185 | − | 0.923875i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 24.2693 | + | 17.6327i | 0.870097 | + | 0.632162i | ||||
\(779\) | 2.62850 | + | 8.08970i | 0.0941759 | + | 0.289844i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 4.82938 | − | 19.2004i | 0.172809 | − | 0.687043i | ||||
\(782\) | −24.8460 | −0.888492 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 3.41802 | + | 2.48334i | 0.122072 | + | 0.0886906i | ||||
\(785\) | −18.0325 | + | 13.1014i | −0.643607 | + | 0.467608i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −10.3392 | + | 31.8209i | −0.368554 | + | 1.13429i | 0.579171 | + | 0.815206i | \(0.303376\pi\) |
−0.947725 | + | 0.319087i | \(0.896624\pi\) | |||||||
\(788\) | 1.41384 | − | 1.02721i | 0.0503659 | − | 0.0365930i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −5.21630 | − | 16.0541i | −0.185588 | − | 0.571180i | ||||
\(791\) | 1.32938 | 0.0472674 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.0572227 | 0.00203204 | ||||||||
\(794\) | −12.8934 | − | 39.6818i | −0.457570 | − | 1.40825i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 2.56135 | − | 1.86093i | 0.0907845 | − | 0.0659588i | ||||
\(797\) | −0.236759 | + | 0.728670i | −0.00838644 | + | 0.0258108i | −0.955162 | − | 0.296083i | \(-0.904319\pi\) |
0.946776 | + | 0.321894i | \(0.104319\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 11.0948 | − | 8.06083i | 0.392505 | − | 0.285172i | ||||
\(800\) | −0.381582 | − | 0.277235i | −0.0134910 | − | 0.00980175i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −32.4890 | −1.14723 | ||||||||
\(803\) | 11.1654 | − | 9.32963i | 0.394019 | − | 0.329235i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 5.75703 | + | 17.7183i | 0.202909 | + | 0.624489i | ||||
\(806\) | 7.11609 | + | 5.17014i | 0.250653 | + | 0.182110i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −8.41529 | + | 25.8996i | −0.296049 | + | 0.911145i | ||||
\(809\) | 3.16159 | − | 9.73039i | 0.111156 | − | 0.342102i | −0.879970 | − | 0.475029i | \(-0.842438\pi\) |
0.991126 | + | 0.132927i | \(0.0424375\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −8.42960 | − | 6.12446i | −0.296003 | − | 0.215059i | 0.429864 | − | 0.902894i | \(-0.358561\pi\) |
−0.725867 | + | 0.687835i | \(0.758561\pi\) | |||||||
\(812\) | 0.327743 | + | 1.00869i | 0.0115015 | + | 0.0353981i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −17.1989 | − | 10.7966i | −0.602822 | − | 0.378420i | ||||
\(815\) | −24.8992 | −0.872181 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −4.32541 | − | 3.14260i | −0.151327 | − | 0.109946i | ||||
\(818\) | 19.3590 | − | 14.0651i | 0.676870 | − | 0.491775i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −1.05498 | + | 3.24688i | −0.0368414 | + | 0.113386i | ||||
\(821\) | 22.4513 | − | 16.3118i | 0.783555 | − | 0.569286i | −0.122489 | − | 0.992470i | \(-0.539088\pi\) |
0.906044 | + | 0.423184i | \(0.139088\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −5.79157 | − | 17.8246i | −0.201881 | − | 0.621327i | −0.999827 | − | 0.0185975i | \(-0.994080\pi\) |
0.797946 | − | 0.602729i | \(-0.205920\pi\) | |||||||
\(824\) | −1.80346 | −0.0628266 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 14.0102 | 0.487476 | ||||||||
\(827\) | 17.1947 | + | 52.9198i | 0.597918 | + | 1.84020i | 0.539631 | + | 0.841901i | \(0.318564\pi\) |
0.0582861 | + | 0.998300i | \(0.481436\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 30.3867 | − | 22.0772i | 1.05537 | − | 0.766774i | 0.0821472 | − | 0.996620i | \(-0.473822\pi\) |
0.973227 | + | 0.229846i | \(0.0738222\pi\) | |||||||
\(830\) | −10.7918 | + | 33.2137i | −0.374589 | + | 1.15286i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 5.50727 | − | 4.00127i | 0.190930 | − | 0.138719i | ||||
\(833\) | −1.76902 | − | 1.28527i | −0.0612929 | − | 0.0445319i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.22589 | 0.111637 | ||||||||
\(836\) | 0.281537 | − | 0.0191021i | 0.00973716 | − | 0.000660658i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −5.74625 | − | 17.6851i | −0.198501 | − | 0.610923i | ||||
\(839\) | −36.1509 | − | 26.2652i | −1.24807 | − | 0.906774i | −0.249960 | − | 0.968256i | \(-0.580417\pi\) |
−0.998108 | + | 0.0614819i | \(0.980417\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 15.3369 | − | 47.2021i | 0.528858 | − | 1.62766i | ||||
\(842\) | −4.86028 | + | 14.9584i | −0.167496 | + | 0.515500i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −1.69934 | − | 1.23465i | −0.0584939 | − | 0.0424983i | ||||
\(845\) | 8.97610 | + | 27.6256i | 0.308787 | + | 0.950349i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 7.94427 | − | 7.60845i | 0.272968 | − | 0.261430i | ||||
\(848\) | −27.7384 | −0.952541 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 1.79777 | + | 1.30615i | 0.0616628 | + | 0.0448007i | ||||
\(851\) | 26.5541 | − | 19.2926i | 0.910261 | − | 0.661343i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 17.2080 | − | 52.9607i | 0.589190 | − | 1.81334i | 0.00743815 | − | 0.999972i | \(-0.497632\pi\) |
0.581751 | − | 0.813367i | \(-0.302368\pi\) | |||||||
\(854\) | 0.0739208 | − | 0.0537066i | 0.00252952 | − | 0.00183780i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −0.239486 | − | 0.737063i | −0.00818548 | − | 0.0251923i | ||||
\(857\) | 37.5988 | 1.28435 | 0.642176 | − | 0.766557i | \(-0.278032\pi\) | ||||
0.642176 | + | 0.766557i | \(0.278032\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 44.1084 | 1.50496 | 0.752479 | − | 0.658616i | \(-0.228858\pi\) | ||||
0.752479 | + | 0.658616i | \(0.228858\pi\) | |||||||
\(860\) | −0.663111 | − | 2.04085i | −0.0226119 | − | 0.0695923i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −32.4371 | + | 23.5669i | −1.10481 | + | 0.802692i | ||||
\(863\) | 1.39382 | − | 4.28973i | 0.0474461 | − | 0.146024i | −0.924527 | − | 0.381117i | \(-0.875539\pi\) |
0.971973 | + | 0.235093i | \(0.0755395\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −37.6297 | + | 27.3396i | −1.27945 | + | 0.929573i | ||||
\(866\) | 17.9738 | + | 13.0588i | 0.610776 | + | 0.443755i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.792543 | 0.0269007 | ||||||||
\(869\) | −6.00389 | − | 14.9491i | −0.203668 | − | 0.507112i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 3.19209 | + | 9.82425i | 0.108160 | + | 0.332882i | ||||
\(872\) | 19.8880 | + | 14.4495i | 0.673494 | + | 0.489322i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −2.49774 | + | 7.68724i | −0.0844872 | + | 0.260025i | ||||
\(875\) | −3.17331 | + | 9.76644i | −0.107277 | + | 0.330166i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 29.1956 | + | 21.2118i | 0.985865 | + | 0.716273i | 0.959012 | − | 0.283367i | \(-0.0914513\pi\) |
0.0268532 | + | 0.999639i | \(0.491451\pi\) | |||||||
\(878\) | 12.8445 | + | 39.5312i | 0.433479 | + | 1.33411i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −28.3292 | − | 17.7836i | −0.954976 | − | 0.599485i | ||||
\(881\) | 12.8240 | 0.432052 | 0.216026 | − | 0.976388i | \(-0.430690\pi\) | ||||
0.216026 | + | 0.976388i | \(0.430690\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 7.57416 | + | 5.50295i | 0.254891 | + | 0.185189i | 0.707892 | − | 0.706321i | \(-0.249647\pi\) |
−0.453001 | + | 0.891510i | \(0.649647\pi\) | |||||||
\(884\) | 0.192919 | − | 0.140164i | 0.00648855 | − | 0.00471421i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 5.09776 | − | 15.6893i | 0.171263 | − | 0.527092i | ||||
\(887\) | −8.02099 | + | 5.82759i | −0.269318 | + | 0.195671i | −0.714245 | − | 0.699896i | \(-0.753230\pi\) |
0.444927 | + | 0.895567i | \(0.353230\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 6.74805 | + | 20.7684i | 0.226322 | + | 0.696549i | ||||
\(890\) | 0.908906 | 0.0304666 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 2.70117 | 0.0904419 | ||||||||
\(893\) | −1.37864 | − | 4.24302i | −0.0461344 | − | 0.141987i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 24.8234 | − | 18.0353i | 0.829756 | − | 0.602853i | ||||
\(896\) | 3.77654 | − | 11.6230i | 0.126165 | − | 0.388297i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 31.6800 | − | 23.0169i | 1.05718 | − | 0.768083i | ||||
\(899\) | −47.5361 | − | 34.5370i | −1.58542 | − | 1.15187i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 14.3562 | 0.478275 | ||||||||
\(902\) | −14.0841 | + | 55.9947i | −0.468949 | + | 1.86442i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −1.12463 | − | 3.46125i | −0.0374046 | − | 0.115119i | ||||
\(905\) | 27.7604 | + | 20.1691i | 0.922785 | + | 0.670443i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −4.32258 | + | 13.3035i | −0.143529 | + | 0.441736i | −0.996819 | − | 0.0797004i | \(-0.974604\pi\) |
0.853290 | + | 0.521436i | \(0.174604\pi\) | |||||||
\(908\) | −0.812071 | + | 2.49930i | −0.0269495 | + | 0.0829421i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −2.56351 | − | 1.86250i | −0.0849794 | − | 0.0617412i | ||||
\(911\) | 8.37955 | + | 25.7896i | 0.277627 | + | 0.854447i | 0.988512 | + | 0.151140i | \(0.0482944\pi\) |
−0.710886 | + | 0.703308i | \(0.751706\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −8.12978 | + | 32.3219i | −0.269057 | + | 1.06970i | ||||
\(914\) | 42.1762 | 1.39507 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −2.26236 | − | 1.64370i | −0.0747505 | − | 0.0543094i | ||||
\(917\) | 7.46097 | − | 5.42072i | 0.246383 | − | 0.179008i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1.36858 | − | 4.21204i | 0.0451452 | − | 0.138943i | −0.925943 | − | 0.377663i | \(-0.876728\pi\) |
0.971088 | + | 0.238720i | \(0.0767279\pi\) | |||||||
\(920\) | 41.2620 | − | 29.9786i | 1.36037 | − | 0.988366i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −18.8674 | − | 58.0680i | −0.621365 | − | 1.91237i | ||||
\(923\) | −5.44278 | −0.179151 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.93556 | −0.0965208 | ||||||||
\(926\) | 0.516947 | + | 1.59100i | 0.0169879 | + | 0.0522835i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 4.84744 | − | 3.52187i | 0.159125 | − | 0.115611i | ||||
\(929\) | 17.5442 | − | 53.9956i | 0.575608 | − | 1.77154i | −0.0584913 | − | 0.998288i | \(-0.518629\pi\) |
0.634099 | − | 0.773252i | \(-0.281371\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.575493 | + | 0.418120i | −0.0188610 | + | 0.0137033i | ||||
\(932\) | −0.100939 | − | 0.0733364i | −0.00330636 | − | 0.00240221i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 43.0777 | 1.40955 | ||||||||
\(935\) | 14.6620 | + | 9.20402i | 0.479497 | + | 0.301004i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −0.883162 | − | 2.71809i | −0.0288517 | − | 0.0887963i | 0.935594 | − | 0.353078i | \(-0.114865\pi\) |
−0.964445 | + | 0.264282i | \(0.914865\pi\) | |||||||
\(938\) | 13.3442 | + | 9.69511i | 0.435703 | + | 0.316556i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.553331 | − | 1.70298i | 0.0180477 | − | 0.0555450i | ||||
\(941\) | −7.49416 | + | 23.0647i | −0.244303 | + | 0.751887i | 0.751448 | + | 0.659793i | \(0.229356\pi\) |
−0.995750 | + | 0.0920938i | \(0.970644\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −75.5015 | − | 54.8550i | −2.45867 | − | 1.78633i | ||||
\(944\) | −12.5636 | − | 38.6669i | −0.408912 | − | 1.25850i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −13.5256 | − | 33.6774i | −0.439756 | − | 1.09495i | ||||
\(947\) | 45.0901 | 1.46523 | 0.732616 | − | 0.680642i | \(-0.238299\pi\) | ||||
0.732616 | + | 0.680642i | \(0.238299\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −3.23607 | − | 2.35114i | −0.105047 | − | 0.0763213i | ||||
\(950\) | 0.584844 | − | 0.424914i | 0.0189749 | − | 0.0137860i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −1.84984 | + | 5.69322i | −0.0599536 | + | 0.184518i | ||||
\(953\) | −30.5081 | + | 22.1654i | −0.988255 | + | 0.718009i | −0.959538 | − | 0.281578i | \(-0.909142\pi\) |
−0.0287166 | + | 0.999588i | \(0.509142\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −17.6680 | − | 54.3765i | −0.571722 | − | 1.75958i | ||||
\(956\) | 1.48479 | 0.0480216 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −14.8105 | −0.478505 | ||||||||
\(959\) | −0.632711 | − | 1.94728i | −0.0204313 | − | 0.0628811i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −10.4423 | + | 7.58679i | −0.336849 | + | 0.244735i | ||||
\(962\) | −1.72511 | + | 5.30933i | −0.0556197 | + | 0.171180i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −0.911933 | + | 0.662558i | −0.0293714 | + | 0.0213396i | ||||
\(965\) | 0.269608 | + | 0.195882i | 0.00867898 | + | 0.00630565i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −60.7131 | −1.95240 | −0.976201 | − | 0.216870i | \(-0.930415\pi\) | ||||
−0.976201 | + | 0.216870i | \(0.930415\pi\) | |||||||
\(968\) | −26.5304 | − | 14.2475i | −0.852720 | − | 0.457933i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 10.6153 | + | 32.6707i | 0.340838 | + | 1.04899i | ||||
\(971\) | −23.8546 | − | 17.3314i | −0.765530 | − | 0.556190i | 0.135071 | − | 0.990836i | \(-0.456874\pi\) |
−0.900602 | + | 0.434646i | \(0.856874\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 3.96945 | − | 12.2167i | 0.127255 | − | 0.391649i | ||||
\(974\) | −19.7198 | + | 60.6912i | −0.631862 | + | 1.94467i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −0.214514 | − | 0.155854i | −0.00686643 | − | 0.00498875i | ||||
\(977\) | −1.40608 | − | 4.32746i | −0.0449844 | − | 0.138448i | 0.926042 | − | 0.377421i | \(-0.123189\pi\) |
−0.971026 | + | 0.238973i | \(0.923189\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.865423 | − | 0.0587182i | 0.0276590 | − | 0.00187664i | ||||
\(980\) | −0.285507 | −0.00912018 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −22.5211 | − | 16.3625i | −0.718677 | − | 0.522150i | ||||
\(983\) | −29.9123 | + | 21.7325i | −0.954053 | + | 0.693160i | −0.951762 | − | 0.306837i | \(-0.900729\pi\) |
−0.00229090 | + | 0.999997i | \(0.500729\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 10.7779 | − | 33.1708i | 0.343411 | − | 1.05691i | ||||
\(986\) | −22.8380 | + | 16.5928i | −0.727310 | + | 0.528421i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.0239721 | − | 0.0737785i | −0.000762654 | − | 0.00234721i | ||||
\(989\) | 58.6599 | 1.86528 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 30.5701 | 0.971090 | 0.485545 | − | 0.874212i | \(-0.338621\pi\) | ||||
0.485545 | + | 0.874212i | \(0.338621\pi\) | |||||||
\(992\) | −1.38359 | − | 4.25827i | −0.0439292 | − | 0.135200i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −7.03103 | + | 5.10835i | −0.223011 | + | 0.162027i | ||||
\(995\) | 19.5255 | − | 60.0932i | 0.618999 | − | 1.90508i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 2.14749 | − | 1.56024i | 0.0680117 | − | 0.0494134i | −0.553260 | − | 0.833009i | \(-0.686616\pi\) |
0.621272 | + | 0.783595i | \(0.286616\pi\) | |||||||
\(998\) | 24.1422 | + | 17.5404i | 0.764210 | + | 0.555231i | ||||
\(999\) | 0 | 0 |
(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 | 693.2.m.f.379.1 | 8 | ||
3.2 | odd | 2 | 231.2.j.f.148.2 | yes | 8 | ||
11.3 | even | 5 | 7623.2.a.ci.1.2 | 4 | |||
11.8 | odd | 10 | 7623.2.a.cl.1.3 | 4 | |||
11.9 | even | 5 | inner | 693.2.m.f.64.1 | 8 | ||
33.8 | even | 10 | 2541.2.a.bm.1.2 | 4 | |||
33.14 | odd | 10 | 2541.2.a.bn.1.3 | 4 | |||
33.20 | odd | 10 | 231.2.j.f.64.2 | ✓ | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.j.f.64.2 | ✓ | 8 | 33.20 | odd | 10 | ||
231.2.j.f.148.2 | yes | 8 | 3.2 | odd | 2 | ||
693.2.m.f.64.1 | 8 | 11.9 | even | 5 | inner | ||
693.2.m.f.379.1 | 8 | 1.1 | even | 1 | trivial | ||
2541.2.a.bm.1.2 | 4 | 33.8 | even | 10 | |||
2541.2.a.bn.1.3 | 4 | 33.14 | odd | 10 | |||
7623.2.a.ci.1.2 | 4 | 11.3 | even | 5 | |||
7623.2.a.cl.1.3 | 4 | 11.8 | odd | 10 |