Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [297,2,Mod(82,297)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(297, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("297.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 297 = 3^{3} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 297.f (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: | \(2.37155694003\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 2 x^{15} + 8 x^{14} - 22 x^{13} + 62 x^{12} - 24 x^{11} + 152 x^{10} - 161 x^{9} + 552 x^{8} + \cdots + 25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 190.2 | ||
Root | \(-0.175229 - 0.127311i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 297.190 |
Dual form | 297.2.f.a.136.2 |
$q$-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 \(\left(\mathbb{Z}/297\mathbb{Z}\right)^\times\).
\(n\) | \(56\) | \(244\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.984246 | + | 0.715096i | −0.695967 | + | 0.505650i | −0.878616 | − | 0.477529i | \(-0.841533\pi\) |
0.182649 | + | 0.983178i | \(0.441533\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.160657 | + | 0.494452i | −0.0803286 | + | 0.247226i | ||||
\(5\) | −0.240251 | − | 0.174552i | −0.107443 | − | 0.0780622i | 0.532766 | − | 0.846262i | \(-0.321153\pi\) |
−0.640210 | + | 0.768200i | \(0.721153\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.32806 | − | 4.08735i | 0.501960 | − | 1.54487i | −0.303863 | − | 0.952716i | \(-0.598277\pi\) |
0.805823 | − | 0.592157i | \(-0.201723\pi\) | |||||||
\(8\) | −0.947351 | − | 2.91565i | −0.334939 | − | 1.03084i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.361288 | 0.114249 | ||||||||
\(11\) | −2.91081 | − | 1.58971i | −0.877642 | − | 0.479317i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.06143 | − | 2.22426i | 0.849087 | − | 0.616898i | −0.0758070 | − | 0.997123i | \(-0.524153\pi\) |
0.924894 | + | 0.380225i | \(0.124153\pi\) | |||||||
\(14\) | 1.61571 | + | 4.97265i | 0.431817 | + | 1.32900i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.17618 | + | 1.58109i | 0.544046 | + | 0.395273i | ||||
\(17\) | 1.09583 | + | 0.796170i | 0.265779 | + | 0.193100i | 0.712691 | − | 0.701478i | \(-0.247476\pi\) |
−0.446912 | + | 0.894578i | \(0.647476\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.01673 | + | 3.12917i | 0.233254 | + | 0.717881i | 0.997348 | + | 0.0727768i | \(0.0231861\pi\) |
−0.764095 | + | 0.645104i | \(0.776814\pi\) | |||||||
\(20\) | 0.124906 | − | 0.0907493i | 0.0279298 | − | 0.0202922i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 4.00175 | − | 0.516838i | 0.853176 | − | 0.110190i | ||||
\(23\) | 4.75523 | 0.991534 | 0.495767 | − | 0.868456i | \(-0.334887\pi\) | ||||
0.495767 | + | 0.868456i | \(0.334887\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.51783 | − | 4.67141i | −0.303567 | − | 0.934282i | ||||
\(26\) | −1.42264 | + | 4.37843i | −0.279002 | + | 0.858681i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.80763 | + | 1.31332i | 0.341611 | + | 0.248195i | ||||
\(29\) | 3.09579 | − | 9.52785i | 0.574873 | − | 1.76928i | −0.0617370 | − | 0.998092i | \(-0.519664\pi\) |
0.636610 | − | 0.771186i | \(-0.280336\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.15291 | + | 3.01727i | −0.745885 | + | 0.541917i | −0.894549 | − | 0.446971i | \(-0.852503\pi\) |
0.148664 | + | 0.988888i | \(0.452503\pi\) | |||||||
\(32\) | 2.85886 | 0.505379 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.64791 | −0.282614 | ||||||||
\(35\) | −1.03252 | + | 0.750173i | −0.174528 | + | 0.126802i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.40015 | − | 4.30921i | 0.230183 | − | 0.708429i | −0.767541 | − | 0.640999i | \(-0.778520\pi\) |
0.997724 | − | 0.0674299i | \(-0.0214799\pi\) | |||||||
\(38\) | −3.23837 | − | 2.35281i | −0.525333 | − | 0.381677i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.281331 | + | 0.865849i | −0.0444824 | + | 0.136903i | ||||
\(41\) | 1.87805 | + | 5.78003i | 0.293301 | + | 0.902689i | 0.983787 | + | 0.179342i | \(0.0573970\pi\) |
−0.690485 | + | 0.723346i | \(0.742603\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −7.92922 | −1.20919 | −0.604597 | − | 0.796531i | \(-0.706666\pi\) | ||||
−0.604597 | + | 0.796531i | \(0.706666\pi\) | |||||||
\(44\) | 1.25368 | − | 1.18386i | 0.188999 | − | 0.178473i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.68032 | + | 3.40045i | −0.690075 | + | 0.501369i | ||||
\(47\) | 1.47844 | + | 4.55017i | 0.215652 | + | 0.663710i | 0.999107 | + | 0.0422605i | \(0.0134559\pi\) |
−0.783454 | + | 0.621450i | \(0.786544\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −9.27956 | − | 6.74199i | −1.32565 | − | 0.963142i | ||||
\(50\) | 4.83443 | + | 3.51242i | 0.683692 | + | 0.496731i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.607948 | + | 1.87107i | 0.0843072 | + | 0.259471i | ||||
\(53\) | 1.16402 | − | 0.845714i | 0.159891 | − | 0.116168i | −0.504963 | − | 0.863141i | \(-0.668494\pi\) |
0.664854 | + | 0.746973i | \(0.268494\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.421835 | + | 0.890019i | 0.0568803 | + | 0.120010i | ||||
\(56\) | −13.1754 | −1.76064 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.76632 | + | 11.5915i | 0.494542 | + | 1.52204i | ||||
\(59\) | 1.95315 | − | 6.01118i | 0.254278 | − | 0.782588i | −0.739693 | − | 0.672945i | \(-0.765029\pi\) |
0.993971 | − | 0.109643i | \(-0.0349709\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 9.41653 | + | 6.84151i | 1.20566 | + | 0.875966i | 0.994830 | − | 0.101556i | \(-0.0323821\pi\) |
0.210834 | + | 0.977522i | \(0.432382\pi\) | |||||||
\(62\) | 1.92985 | − | 5.93946i | 0.245091 | − | 0.754313i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.16618 | + | 5.20654i | −0.895773 | + | 0.650817i | ||||
\(65\) | −1.12376 | −0.139385 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.68331 | −0.327819 | −0.163909 | − | 0.986475i | \(-0.552410\pi\) | ||||
−0.163909 | + | 0.986475i | \(0.552410\pi\) | |||||||
\(68\) | −0.569722 | + | 0.413927i | −0.0690889 | + | 0.0501960i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.479812 | − | 1.47671i | 0.0573485 | − | 0.176500i | ||||
\(71\) | −5.17360 | − | 3.75884i | −0.613994 | − | 0.446093i | 0.236825 | − | 0.971552i | \(-0.423893\pi\) |
−0.850818 | + | 0.525460i | \(0.823893\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.511265 | − | 1.57351i | 0.0598390 | − | 0.184165i | −0.916669 | − | 0.399648i | \(-0.869132\pi\) |
0.976508 | + | 0.215482i | \(0.0691324\pi\) | |||||||
\(74\) | 1.70341 | + | 5.24256i | 0.198017 | + | 0.609435i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.71057 | −0.196216 | ||||||||
\(77\) | −10.3634 | + | 9.78625i | −1.18102 | + | 1.11525i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.52312 | + | 4.01278i | −0.621400 | + | 0.451473i | −0.853410 | − | 0.521240i | \(-0.825470\pi\) |
0.232010 | + | 0.972713i | \(0.425470\pi\) | |||||||
\(80\) | −0.246847 | − | 0.759716i | −0.0275983 | − | 0.0849389i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −5.98174 | − | 4.34599i | −0.660572 | − | 0.479934i | ||||
\(83\) | −4.08880 | − | 2.97069i | −0.448805 | − | 0.326076i | 0.340319 | − | 0.940310i | \(-0.389465\pi\) |
−0.789124 | + | 0.614234i | \(0.789465\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.124302 | − | 0.382561i | −0.0134824 | − | 0.0414946i | ||||
\(86\) | 7.80430 | − | 5.67016i | 0.841559 | − | 0.611429i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.87749 | + | 9.99291i | −0.200141 | + | 1.06525i | ||||
\(89\) | −16.3224 | −1.73017 | −0.865086 | − | 0.501623i | \(-0.832736\pi\) | ||||
−0.865086 | + | 0.501623i | \(0.832736\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.02556 | − | 15.4671i | −0.526821 | − | 1.62139i | ||||
\(92\) | −0.763962 | + | 2.35123i | −0.0796485 | + | 0.245133i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −4.70896 | − | 3.42126i | −0.485692 | − | 0.352876i | ||||
\(95\) | 0.301934 | − | 0.929258i | 0.0309778 | − | 0.0953399i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.15857 | + | 2.29484i | −0.320705 | + | 0.233006i | −0.736476 | − | 0.676464i | \(-0.763512\pi\) |
0.415771 | + | 0.909469i | \(0.363512\pi\) | |||||||
\(98\) | 13.9545 | 1.40962 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.55364 | 0.255364 | ||||||||
\(101\) | 8.74596 | − | 6.35431i | 0.870256 | − | 0.632278i | −0.0603998 | − | 0.998174i | \(-0.519238\pi\) |
0.930656 | + | 0.365896i | \(0.119238\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.35656 | − | 4.17506i | 0.133666 | − | 0.411381i | −0.861714 | − | 0.507394i | \(-0.830609\pi\) |
0.995380 | + | 0.0960129i | \(0.0306090\pi\) | |||||||
\(104\) | −9.38540 | − | 6.81889i | −0.920314 | − | 0.668647i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.540920 | + | 1.66478i | −0.0525388 | + | 0.161698i | ||||
\(107\) | 4.31866 | + | 13.2915i | 0.417500 | + | 1.28493i | 0.909995 | + | 0.414619i | \(0.136085\pi\) |
−0.492495 | + | 0.870315i | \(0.663915\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 10.9437 | 1.04822 | 0.524109 | − | 0.851651i | \(-0.324398\pi\) | ||||
0.524109 | + | 0.851651i | \(0.324398\pi\) | |||||||
\(110\) | −1.05164 | − | 0.574344i | −0.100270 | − | 0.0547616i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 9.35257 | − | 6.79504i | 0.883735 | − | 0.642071i | ||||
\(113\) | 1.61382 | + | 4.96682i | 0.151815 | + | 0.467239i | 0.997824 | − | 0.0659294i | \(-0.0210012\pi\) |
−0.846009 | + | 0.533168i | \(0.821001\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.14245 | − | 0.830037i | −0.106534 | − | 0.0774013i | ||||
\(116\) | 4.21370 | + | 3.06144i | 0.391233 | + | 0.284247i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 2.37619 | + | 7.31316i | 0.218746 | + | 0.673231i | ||||
\(119\) | 4.70956 | − | 3.42170i | 0.431725 | − | 0.313666i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.94561 | + | 9.25471i | 0.540510 | + | 0.841337i | ||||
\(122\) | −14.1605 | −1.28203 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.824698 | − | 2.53816i | −0.0740601 | − | 0.227933i | ||||
\(125\) | −0.909583 | + | 2.79941i | −0.0813556 | + | 0.250387i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.21650 | + | 0.883841i | 0.107947 | + | 0.0784282i | 0.640449 | − | 0.768000i | \(-0.278748\pi\) |
−0.532502 | + | 0.846429i | \(0.678748\pi\) | |||||||
\(128\) | 1.56324 | − | 4.81116i | 0.138172 | − | 0.425251i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.10606 | − | 0.803597i | 0.0970075 | − | 0.0704801i | ||||
\(131\) | 19.3527 | 1.69085 | 0.845425 | − | 0.534094i | \(-0.179347\pi\) | ||||
0.845425 | + | 0.534094i | \(0.179347\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 14.1403 | 1.22612 | ||||||||
\(134\) | 2.64104 | − | 1.91883i | 0.228151 | − | 0.165761i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.28321 | − | 3.94932i | 0.110035 | − | 0.338652i | ||||
\(137\) | 16.2477 | + | 11.8046i | 1.38813 | + | 1.00854i | 0.996067 | + | 0.0886000i | \(0.0282393\pi\) |
0.392065 | + | 0.919937i | \(0.371761\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.80522 | − | 11.7113i | 0.322755 | − | 0.993337i | −0.649689 | − | 0.760200i | \(-0.725101\pi\) |
0.972444 | − | 0.233137i | \(-0.0748990\pi\) | |||||||
\(140\) | −0.205042 | − | 0.631054i | −0.0173292 | − | 0.0533338i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 7.78003 | 0.652886 | ||||||||
\(143\) | −12.4472 | + | 1.60759i | −1.04088 | + | 0.134433i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.40688 | + | 1.74870i | −0.199880 | + | 0.145221i | ||||
\(146\) | 0.622002 | + | 1.91432i | 0.0514772 | + | 0.158431i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.90575 | + | 1.38461i | 0.156652 | + | 0.113814i | ||||
\(149\) | −10.2763 | − | 7.46614i | −0.841863 | − | 0.611650i | 0.0810271 | − | 0.996712i | \(-0.474180\pi\) |
−0.922891 | + | 0.385062i | \(0.874180\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.13594 | − | 6.57375i | −0.173820 | − | 0.534964i | 0.825757 | − | 0.564026i | \(-0.190748\pi\) |
−0.999578 | + | 0.0290617i | \(0.990748\pi\) | |||||||
\(152\) | 8.16036 | − | 5.92885i | 0.661893 | − | 0.480893i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 3.20207 | − | 17.0429i | 0.258030 | − | 1.37336i | ||||
\(155\) | 1.52441 | 0.122444 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.03115 | + | 6.25123i | 0.162103 | + | 0.498902i | 0.998811 | − | 0.0487470i | \(-0.0155228\pi\) |
−0.836708 | + | 0.547649i | \(0.815523\pi\) | |||||||
\(158\) | 2.56658 | − | 7.89913i | 0.204186 | − | 0.628421i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.686842 | − | 0.499020i | −0.0542996 | − | 0.0394510i | ||||
\(161\) | 6.31523 | − | 19.4363i | 0.497710 | − | 1.53179i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −2.60590 | + | 1.89330i | −0.204110 | + | 0.148294i | −0.685145 | − | 0.728407i | \(-0.740261\pi\) |
0.481035 | + | 0.876701i | \(0.340261\pi\) | |||||||
\(164\) | −3.15967 | −0.246729 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 6.14872 | 0.477233 | ||||||||
\(167\) | −8.45582 | + | 6.14351i | −0.654331 | + | 0.475399i | −0.864744 | − | 0.502213i | \(-0.832519\pi\) |
0.210413 | + | 0.977613i | \(0.432519\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.407796 | − | 1.25507i | 0.0313690 | − | 0.0965437i | ||||
\(170\) | 0.395911 | + | 0.287647i | 0.0303650 | + | 0.0220615i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.27389 | − | 3.92062i | 0.0971329 | − | 0.298944i | ||||
\(173\) | 4.09941 | + | 12.6167i | 0.311672 | + | 0.959229i | 0.977103 | + | 0.212769i | \(0.0682481\pi\) |
−0.665430 | + | 0.746460i | \(0.731752\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −21.1095 | −1.59572 | ||||||||
\(176\) | −3.82097 | − | 8.06176i | −0.288017 | − | 0.607678i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 16.0653 | − | 11.6721i | 1.20414 | − | 0.874861i | ||||
\(179\) | 6.05961 | + | 18.6496i | 0.452917 | + | 1.39393i | 0.873564 | + | 0.486710i | \(0.161803\pi\) |
−0.420647 | + | 0.907224i | \(0.638197\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 20.7377 | + | 15.0668i | 1.54142 | + | 1.11991i | 0.949435 | + | 0.313962i | \(0.101657\pi\) |
0.591988 | + | 0.805947i | \(0.298343\pi\) | |||||||
\(182\) | 16.0068 | + | 11.6296i | 1.18650 | + | 0.862046i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −4.50487 | − | 13.8646i | −0.332104 | − | 1.02211i | ||||
\(185\) | −1.08857 | + | 0.790892i | −0.0800332 | + | 0.0581475i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.92408 | − | 4.05956i | −0.140703 | − | 0.296865i | ||||
\(188\) | −2.48736 | −0.181409 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.367332 | + | 1.13053i | 0.0266490 | + | 0.0820173i | ||||
\(191\) | −4.75946 | + | 14.6481i | −0.344383 | + | 1.05990i | 0.617531 | + | 0.786547i | \(0.288133\pi\) |
−0.961914 | + | 0.273354i | \(0.911867\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 11.3997 | + | 8.28236i | 0.820568 | + | 0.596178i | 0.916875 | − | 0.399174i | \(-0.130703\pi\) |
−0.0963071 | + | 0.995352i | \(0.530703\pi\) | |||||||
\(194\) | 1.46778 | − | 4.51737i | 0.105381 | − | 0.324328i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 4.82442 | − | 3.50515i | 0.344601 | − | 0.250368i | ||||
\(197\) | −5.14056 | −0.366250 | −0.183125 | − | 0.983090i | \(-0.558621\pi\) | ||||
−0.183125 | + | 0.983090i | \(0.558621\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −15.9561 | −1.13109 | −0.565547 | − | 0.824716i | \(-0.691335\pi\) | ||||
−0.565547 | + | 0.824716i | \(0.691335\pi\) | |||||||
\(200\) | −12.1823 | + | 8.85093i | −0.861416 | + | 0.625856i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −4.06423 | + | 12.5084i | −0.285958 | + | 0.880089i | ||||
\(203\) | −34.8323 | − | 25.3071i | −2.44475 | − | 1.77621i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.557716 | − | 1.71647i | 0.0389526 | − | 0.119884i | ||||
\(206\) | 1.65038 | + | 5.07935i | 0.114988 | + | 0.353895i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 10.1790 | 0.705785 | ||||||||
\(209\) | 2.01499 | − | 10.7247i | 0.139379 | − | 0.741845i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −7.70960 | + | 5.60135i | −0.530751 | + | 0.385613i | −0.820639 | − | 0.571448i | \(-0.806382\pi\) |
0.289888 | + | 0.957061i | \(0.406382\pi\) | |||||||
\(212\) | 0.231156 | + | 0.711424i | 0.0158758 | + | 0.0488608i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −13.7553 | − | 9.99381i | −0.940293 | − | 0.683163i | ||||
\(215\) | 1.90500 | + | 1.38406i | 0.129920 | + | 0.0943924i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.81731 | + | 20.9815i | 0.462789 | + | 1.42432i | ||||
\(218\) | −10.7713 | + | 7.82582i | −0.729525 | + | 0.530031i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.507842 | + | 0.0655894i | −0.0342387 | + | 0.00442204i | ||||
\(221\) | 5.12571 | 0.344792 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.75820 | + | 14.6442i | 0.318633 | + | 0.980651i | 0.974233 | + | 0.225543i | \(0.0724155\pi\) |
−0.655601 | + | 0.755108i | \(0.727584\pi\) | |||||||
\(224\) | 3.79673 | − | 11.6851i | 0.253680 | − | 0.780746i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −5.14015 | − | 3.73453i | −0.341917 | − | 0.248418i | ||||
\(227\) | 6.32351 | − | 19.4618i | 0.419706 | − | 1.29172i | −0.488267 | − | 0.872694i | \(-0.662371\pi\) |
0.907973 | − | 0.419028i | \(-0.137629\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 23.6409 | − | 17.1762i | 1.56224 | − | 1.13503i | 0.628093 | − | 0.778139i | \(-0.283836\pi\) |
0.934145 | − | 0.356893i | \(-0.116164\pi\) | |||||||
\(230\) | 1.71801 | 0.113282 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −30.7127 | −2.01639 | ||||||||
\(233\) | −0.592266 | + | 0.430306i | −0.0388006 | + | 0.0281903i | −0.607017 | − | 0.794689i | \(-0.707634\pi\) |
0.568216 | + | 0.822879i | \(0.307634\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.439046 | − | 1.35125i | 0.0286402 | − | 0.0881456i | ||||
\(236\) | 2.65845 | + | 1.93148i | 0.173050 | + | 0.125728i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −2.18852 | + | 6.73558i | −0.141861 | + | 0.436603i | ||||
\(239\) | −7.15672 | − | 22.0261i | −0.462930 | − | 1.42475i | −0.861567 | − | 0.507643i | \(-0.830517\pi\) |
0.398637 | − | 0.917109i | \(-0.369483\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2.60377 | −0.167724 | −0.0838619 | − | 0.996477i | \(-0.526725\pi\) | ||||
−0.0838619 | + | 0.996477i | \(0.526725\pi\) | |||||||
\(242\) | −12.4700 | − | 4.85722i | −0.801599 | − | 0.312234i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −4.89563 | + | 3.55688i | −0.313411 | + | 0.227706i | ||||
\(245\) | 1.05259 | + | 3.23954i | 0.0672475 | + | 0.206967i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 10.0727 | + | 7.31826i | 0.640912 | + | 0.465650i | ||||
\(248\) | 12.7316 | + | 9.25002i | 0.808454 | + | 0.587377i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −1.10659 | − | 3.40575i | −0.0699872 | − | 0.215398i | ||||
\(251\) | −16.3210 | + | 11.8579i | −1.03017 | + | 0.748464i | −0.968343 | − | 0.249622i | \(-0.919694\pi\) |
−0.0618296 | + | 0.998087i | \(0.519694\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −13.8416 | − | 7.55946i | −0.870212 | − | 0.475259i | ||||
\(254\) | −1.82937 | −0.114785 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −3.57265 | − | 10.9955i | −0.223290 | − | 0.687217i | ||||
\(257\) | −2.67203 | + | 8.22366i | −0.166677 | + | 0.512978i | −0.999156 | − | 0.0410782i | \(-0.986921\pi\) |
0.832479 | + | 0.554056i | \(0.186921\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −15.7538 | − | 11.4458i | −0.978891 | − | 0.711206i | ||||
\(260\) | 0.180540 | − | 0.555645i | 0.0111966 | − | 0.0344596i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −19.0478 | + | 13.8390i | −1.17678 | + | 0.854977i | ||||
\(263\) | 22.4183 | 1.38237 | 0.691185 | − | 0.722678i | \(-0.257089\pi\) | ||||
0.691185 | + | 0.722678i | \(0.257089\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.427279 | −0.0262476 | ||||||||
\(266\) | −13.9175 | + | 10.1117i | −0.853338 | + | 0.619986i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.431094 | − | 1.32677i | 0.0263332 | − | 0.0810453i | ||||
\(269\) | 3.12219 | + | 2.26840i | 0.190363 | + | 0.138307i | 0.678885 | − | 0.734245i | \(-0.262464\pi\) |
−0.488522 | + | 0.872552i | \(0.662464\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −9.62864 | + | 29.6339i | −0.584898 | + | 1.80013i | 0.0147800 | + | 0.999891i | \(0.495295\pi\) |
−0.599678 | + | 0.800241i | \(0.704705\pi\) | |||||||
\(272\) | 1.12592 | + | 3.46523i | 0.0682690 | + | 0.210110i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −24.4332 | −1.47606 | ||||||||
\(275\) | −3.00809 | + | 16.0105i | −0.181395 | + | 0.965470i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −8.41473 | + | 6.11366i | −0.505592 | + | 0.367334i | −0.811149 | − | 0.584840i | \(-0.801157\pi\) |
0.305557 | + | 0.952174i | \(0.401157\pi\) | |||||||
\(278\) | 4.62941 | + | 14.2479i | 0.277654 | + | 0.854530i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 3.16540 | + | 2.29980i | 0.189169 | + | 0.137439i | ||||
\(281\) | −6.92393 | − | 5.03053i | −0.413047 | − | 0.300096i | 0.361787 | − | 0.932261i | \(-0.382167\pi\) |
−0.774834 | + | 0.632165i | \(0.782167\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1.12921 | − | 3.47536i | −0.0671247 | − | 0.206588i | 0.911868 | − | 0.410483i | \(-0.134640\pi\) |
−0.978993 | + | 0.203895i | \(0.934640\pi\) | |||||||
\(284\) | 2.68974 | − | 1.95421i | 0.159607 | − | 0.115961i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 11.1015 | − | 10.4832i | 0.656445 | − | 0.619884i | ||||
\(287\) | 26.1192 | 1.54176 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −4.68632 | − | 14.4230i | −0.275666 | − | 0.848413i | ||||
\(290\) | 1.11847 | − | 3.44230i | 0.0656788 | − | 0.202139i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.695887 | + | 0.505591i | 0.0407237 | + | 0.0295875i | ||||
\(293\) | 1.99718 | − | 6.14670i | 0.116677 | − | 0.359094i | −0.875616 | − | 0.483007i | \(-0.839544\pi\) |
0.992293 | + | 0.123913i | \(0.0395444\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.51851 | + | 1.10326i | −0.0884111 | + | 0.0642344i | ||||
\(296\) | −13.8906 | −0.807373 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 15.4534 | 0.895189 | ||||||||
\(299\) | 14.5578 | − | 10.5769i | 0.841899 | − | 0.611675i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −10.5305 | + | 32.4095i | −0.606967 | + | 1.86805i | ||||
\(302\) | 6.80315 | + | 4.94278i | 0.391477 | + | 0.284425i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.73491 | + | 8.41719i | −0.156858 | + | 0.482759i | ||||
\(305\) | −1.06813 | − | 3.28736i | −0.0611608 | − | 0.188234i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 24.8253 | 1.41686 | 0.708429 | − | 0.705782i | \(-0.249404\pi\) | ||||
0.708429 | + | 0.705782i | \(0.249404\pi\) | |||||||
\(308\) | −3.17387 | − | 6.69646i | −0.180848 | − | 0.381566i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1.50040 | + | 1.09010i | −0.0852167 | + | 0.0619136i | ||||
\(311\) | −2.91130 | − | 8.96006i | −0.165085 | − | 0.508078i | 0.833958 | − | 0.551828i | \(-0.186070\pi\) |
−0.999043 | + | 0.0437498i | \(0.986070\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 15.0013 | + | 10.8991i | 0.847922 | + | 0.616051i | 0.924572 | − | 0.381007i | \(-0.124423\pi\) |
−0.0766505 | + | 0.997058i | \(0.524423\pi\) | |||||||
\(314\) | −6.46938 | − | 4.70028i | −0.365088 | − | 0.265252i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.09680 | − | 3.37560i | −0.0616998 | − | 0.189892i | ||||
\(317\) | 4.52524 | − | 3.28778i | 0.254163 | − | 0.184660i | −0.453407 | − | 0.891304i | \(-0.649792\pi\) |
0.707570 | + | 0.706644i | \(0.249792\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −24.1578 | + | 22.8123i | −1.35258 | + | 1.27725i | ||||
\(320\) | 2.63050 | 0.147049 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 7.68308 | + | 23.6461i | 0.428161 | + | 1.31774i | ||||
\(323\) | −1.37719 | + | 4.23854i | −0.0766287 | + | 0.235839i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −15.0372 | − | 10.9251i | −0.834111 | − | 0.606017i | ||||
\(326\) | 1.21096 | − | 3.72694i | 0.0670686 | − | 0.206416i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 15.0734 | − | 10.9514i | 0.832287 | − | 0.604692i | ||||
\(329\) | 20.5616 | 1.13360 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 19.4869 | 1.07110 | 0.535549 | − | 0.844504i | \(-0.320105\pi\) | ||||
0.535549 | + | 0.844504i | \(0.320105\pi\) | |||||||
\(332\) | 2.12576 | − | 1.54445i | 0.116666 | − | 0.0847629i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 3.92940 | − | 12.0934i | 0.215007 | − | 0.661724i | ||||
\(335\) | 0.644668 | + | 0.468379i | 0.0352220 | + | 0.0255903i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.84865 | − | 11.8449i | 0.209649 | − | 0.645234i | −0.789841 | − | 0.613312i | \(-0.789837\pi\) |
0.999490 | − | 0.0319226i | \(-0.0101630\pi\) | |||||||
\(338\) | 0.496123 | + | 1.52691i | 0.0269855 | + | 0.0830529i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.209128 | 0.0113416 | ||||||||
\(341\) | 16.8849 | − | 2.18074i | 0.914370 | − | 0.118094i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −15.5424 | + | 11.2922i | −0.839208 | + | 0.609720i | ||||
\(344\) | 7.51176 | + | 23.1188i | 0.405007 | + | 1.24648i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −13.0570 | − | 9.48645i | −0.701947 | − | 0.509994i | ||||
\(347\) | 11.8437 | + | 8.60492i | 0.635801 | + | 0.461937i | 0.858405 | − | 0.512972i | \(-0.171456\pi\) |
−0.222604 | + | 0.974909i | \(0.571456\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −6.17251 | − | 18.9970i | −0.330407 | − | 1.01689i | −0.968941 | − | 0.247294i | \(-0.920459\pi\) |
0.638534 | − | 0.769594i | \(-0.279541\pi\) | |||||||
\(350\) | 20.7769 | − | 15.0953i | 1.11057 | − | 0.806878i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −8.32158 | − | 4.54476i | −0.443542 | − | 0.242237i | ||||
\(353\) | −28.5578 | −1.51998 | −0.759988 | − | 0.649937i | \(-0.774795\pi\) | ||||
−0.759988 | + | 0.649937i | \(0.774795\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.586847 | + | 1.80613i | 0.0311466 | + | 0.0958594i | ||||
\(356\) | 2.62231 | − | 8.07065i | 0.138982 | − | 0.427743i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −19.3004 | − | 14.0226i | −1.02006 | − | 0.741115i | ||||
\(359\) | −3.82507 | + | 11.7723i | −0.201879 | + | 0.621321i | 0.797948 | + | 0.602727i | \(0.205919\pi\) |
−0.999827 | + | 0.0185942i | \(0.994081\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 6.61335 | − | 4.80488i | 0.348071 | − | 0.252888i | ||||
\(362\) | −31.1853 | −1.63906 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 8.45511 | 0.443168 | ||||||||
\(365\) | −0.397492 | + | 0.288795i | −0.0208057 | + | 0.0151162i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −7.54711 | + | 23.2276i | −0.393956 | + | 1.21247i | 0.535816 | + | 0.844335i | \(0.320004\pi\) |
−0.929772 | + | 0.368136i | \(0.879996\pi\) | |||||||
\(368\) | 10.3483 | + | 7.51845i | 0.539440 | + | 0.391926i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.505856 | − | 1.55686i | 0.0262982 | − | 0.0809375i | ||||
\(371\) | −1.91083 | − | 5.88093i | −0.0992054 | − | 0.305323i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 3.13377 | 0.162260 | 0.0811302 | − | 0.996704i | \(-0.474147\pi\) | ||||
0.0811302 | + | 0.996704i | \(0.474147\pi\) | |||||||
\(374\) | 4.79675 | + | 2.61971i | 0.248034 | + | 0.135462i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 11.8661 | − | 8.62121i | 0.611947 | − | 0.444605i | ||||
\(377\) | −11.7149 | − | 36.0547i | −0.603346 | − | 1.85691i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −13.5173 | − | 9.82092i | −0.694339 | − | 0.504467i | 0.183745 | − | 0.982974i | \(-0.441178\pi\) |
−0.878084 | + | 0.478507i | \(0.841178\pi\) | |||||||
\(380\) | 0.410966 | + | 0.298584i | 0.0210821 | + | 0.0153170i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −5.79034 | − | 17.8208i | −0.296259 | − | 0.911792i | ||||
\(383\) | 5.54475 | − | 4.02850i | 0.283324 | − | 0.205847i | −0.437042 | − | 0.899441i | \(-0.643974\pi\) |
0.720366 | + | 0.693594i | \(0.243974\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 4.19804 | − | 0.542190i | 0.213952 | − | 0.0276326i | ||||
\(386\) | −17.1428 | −0.872545 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.627240 | − | 1.93044i | −0.0318433 | − | 0.0980035i | ||||
\(389\) | −7.37416 | + | 22.6953i | −0.373885 | + | 1.15070i | 0.570343 | + | 0.821407i | \(0.306810\pi\) |
−0.944228 | + | 0.329293i | \(0.893190\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5.21095 | + | 3.78597i | 0.263529 | + | 0.191465i | ||||
\(392\) | −10.8663 | + | 33.4430i | −0.548830 | + | 1.68913i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 5.05957 | − | 3.67600i | 0.254898 | − | 0.185194i | ||||
\(395\) | 2.02738 | 0.102008 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.49033 | −0.124986 | −0.0624931 | − | 0.998045i | \(-0.519905\pi\) | ||||
−0.0624931 | + | 0.998045i | \(0.519905\pi\) | |||||||
\(398\) | 15.7047 | − | 11.4101i | 0.787204 | − | 0.571937i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 4.08284 | − | 12.5657i | 0.204142 | − | 0.628284i | ||||
\(401\) | 17.0669 | + | 12.3998i | 0.852279 | + | 0.619217i | 0.925773 | − | 0.378079i | \(-0.123415\pi\) |
−0.0734947 | + | 0.997296i | \(0.523415\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −6.00266 | + | 18.4743i | −0.299014 | + | 0.920270i | ||||
\(404\) | 1.73680 | + | 5.34532i | 0.0864091 | + | 0.265940i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 52.3806 | 2.59960 | ||||||||
\(407\) | −10.9260 | + | 10.3174i | −0.541580 | + | 0.511417i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 12.3168 | − | 8.94869i | 0.609027 | − | 0.442484i | −0.240044 | − | 0.970762i | \(-0.577162\pi\) |
0.849072 | + | 0.528278i | \(0.177162\pi\) | |||||||
\(410\) | 0.678514 | + | 2.08825i | 0.0335094 | + | 0.103131i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 1.84642 | + | 1.34151i | 0.0909668 | + | 0.0660913i | ||||
\(413\) | −21.9759 | − | 15.9664i | −1.08136 | − | 0.785656i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.463797 | + | 1.42742i | 0.0227669 | + | 0.0700693i | ||||
\(416\) | 8.75218 | − | 6.35883i | 0.429111 | − | 0.311767i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 5.68597 | + | 11.9967i | 0.278110 | + | 0.586777i | ||||
\(419\) | 2.33114 | 0.113884 | 0.0569419 | − | 0.998377i | \(-0.481865\pi\) | ||||
0.0569419 | + | 0.998377i | \(0.481865\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.585339 | − | 1.80149i | −0.0285277 | − | 0.0877991i | 0.935779 | − | 0.352587i | \(-0.114698\pi\) |
−0.964307 | + | 0.264788i | \(0.914698\pi\) | |||||||
\(422\) | 3.58264 | − | 11.0262i | 0.174400 | − | 0.536748i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −3.56854 | − | 2.59270i | −0.173304 | − | 0.125913i | ||||
\(425\) | 2.05594 | − | 6.32755i | 0.0997280 | − | 0.306931i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 40.4694 | − | 29.4027i | 1.95845 | − | 1.42290i | ||||
\(428\) | −7.26581 | −0.351206 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.86473 | −0.138149 | ||||||||
\(431\) | 1.23007 | − | 0.893702i | 0.0592506 | − | 0.0430481i | −0.557766 | − | 0.829998i | \(-0.688341\pi\) |
0.617016 | + | 0.786950i | \(0.288341\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 8.48671 | − | 26.1194i | 0.407845 | − | 1.25522i | −0.510651 | − | 0.859788i | \(-0.670596\pi\) |
0.918496 | − | 0.395430i | \(-0.129404\pi\) | |||||||
\(434\) | −21.7137 | − | 15.7759i | −1.04229 | − | 0.757269i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.75819 | + | 5.41114i | −0.0842019 | + | 0.259147i | ||||
\(437\) | 4.83478 | + | 14.8799i | 0.231279 | + | 0.711803i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 3.87089 | 0.184748 | 0.0923738 | − | 0.995724i | \(-0.470555\pi\) | ||||
0.0923738 | + | 0.995724i | \(0.470555\pi\) | |||||||
\(440\) | 2.19536 | − | 2.07308i | 0.104659 | − | 0.0988304i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −5.04495 | + | 3.66537i | −0.239964 | + | 0.174344i | ||||
\(443\) | −11.5131 | − | 35.4336i | −0.547002 | − | 1.68350i | −0.716182 | − | 0.697914i | \(-0.754112\pi\) |
0.169180 | − | 0.985585i | \(-0.445888\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 3.92147 | + | 2.84912i | 0.185896 | + | 0.135061i | ||||
\(446\) | −15.1553 | − | 11.0110i | −0.717623 | − | 0.521384i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 11.7638 | + | 36.2053i | 0.555788 | + | 1.71054i | ||||
\(449\) | −14.5946 | + | 10.6036i | −0.688761 | + | 0.500414i | −0.876253 | − | 0.481852i | \(-0.839964\pi\) |
0.187492 | + | 0.982266i | \(0.439964\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 3.72197 | − | 19.8101i | 0.175261 | − | 0.932822i | ||||
\(452\) | −2.71512 | −0.127709 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 7.69315 | + | 23.6771i | 0.361057 | + | 1.11122i | ||||
\(455\) | −1.49242 | + | 4.59320i | −0.0699658 | + | 0.215332i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 14.6325 | + | 10.6312i | 0.684481 | + | 0.497304i | 0.874841 | − | 0.484410i | \(-0.160966\pi\) |
−0.190360 | + | 0.981714i | \(0.560966\pi\) | |||||||
\(458\) | −10.9859 | + | 33.8111i | −0.513337 | + | 1.57989i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.593956 | − | 0.431534i | 0.0276933 | − | 0.0201204i | ||||
\(461\) | −12.2841 | −0.572128 | −0.286064 | − | 0.958210i | \(-0.592347\pi\) | ||||
−0.286064 | + | 0.958210i | \(0.592347\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0.168090 | 0.00781181 | 0.00390590 | − | 0.999992i | \(-0.498757\pi\) | ||||
0.00390590 | + | 0.999992i | \(0.498757\pi\) | |||||||
\(464\) | 21.8014 | − | 15.8396i | 1.01210 | − | 0.735337i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.275225 | − | 0.847054i | 0.0127495 | − | 0.0392390i | ||||
\(467\) | −4.30387 | − | 3.12694i | −0.199159 | − | 0.144698i | 0.483736 | − | 0.875214i | \(-0.339279\pi\) |
−0.682895 | + | 0.730516i | \(0.739279\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −3.56360 | + | 10.9676i | −0.164552 | + | 0.506439i | ||||
\(470\) | 0.534142 | + | 1.64392i | 0.0246381 | + | 0.0758283i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −19.3768 | −0.891889 | ||||||||
\(473\) | 23.0804 | + | 12.6052i | 1.06124 | + | 0.579588i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 13.0744 | − | 9.49912i | 0.599895 | − | 0.435849i | ||||
\(476\) | 0.935239 | + | 2.87837i | 0.0428666 | + | 0.131930i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 22.7948 | + | 16.5614i | 1.04261 | + | 0.757500i | ||||
\(479\) | −19.4643 | − | 14.1416i | −0.889347 | − | 0.646148i | 0.0463610 | − | 0.998925i | \(-0.485238\pi\) |
−0.935708 | + | 0.352777i | \(0.885238\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −5.29834 | − | 16.3066i | −0.241583 | − | 0.743517i | ||||
\(482\) | 2.56275 | − | 1.86195i | 0.116730 | − | 0.0848095i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −5.53121 | + | 1.45298i | −0.251419 | + | 0.0660447i | ||||
\(485\) | 1.15942 | 0.0526465 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −12.1041 | − | 37.2526i | −0.548490 | − | 1.68808i | −0.712544 | − | 0.701627i | \(-0.752457\pi\) |
0.164055 | − | 0.986451i | \(-0.447543\pi\) | |||||||
\(488\) | 11.0267 | − | 33.9366i | 0.499154 | − | 1.53624i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −3.35259 | − | 2.43580i | −0.151455 | − | 0.110038i | ||||
\(491\) | −5.39016 | + | 16.5892i | −0.243255 | + | 0.748661i | 0.752664 | + | 0.658405i | \(0.228769\pi\) |
−0.995919 | + | 0.0902561i | \(0.971231\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 10.9783 | − | 7.97618i | 0.494436 | − | 0.359229i | ||||
\(494\) | −15.1473 | −0.681509 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −13.8081 | −0.620001 | ||||||||
\(497\) | −22.2346 | + | 16.1544i | −0.997356 | + | 0.724622i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 2.21880 | − | 6.82878i | 0.0993273 | − | 0.305698i | −0.889030 | − | 0.457849i | \(-0.848620\pi\) |
0.988357 | + | 0.152151i | \(0.0486200\pi\) | |||||||
\(500\) | −1.23804 | − | 0.899490i | −0.0553669 | − | 0.0402264i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 7.58434 | − | 23.3422i | 0.338505 | − | 1.04181i | ||||
\(503\) | −1.95460 | − | 6.01565i | −0.0871515 | − | 0.268225i | 0.897977 | − | 0.440042i | \(-0.145036\pi\) |
−0.985129 | + | 0.171817i | \(0.945036\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3.21038 | −0.142860 | ||||||||
\(506\) | 19.0292 | − | 2.45769i | 0.845953 | − | 0.109257i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.632457 | + | 0.459507i | −0.0280607 | + | 0.0203873i | ||||
\(509\) | 4.71879 | + | 14.5229i | 0.209157 | + | 0.643718i | 0.999517 | + | 0.0310758i | \(0.00989334\pi\) |
−0.790360 | + | 0.612642i | \(0.790107\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.75250 | − | 4.17943i | −0.254475 | − | 0.184887i | ||||
\(512\) | 19.5644 | + | 14.2144i | 0.864634 | + | 0.628193i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −3.25078 | − | 10.0049i | −0.143386 | − | 0.441296i | ||||
\(515\) | −1.05468 | + | 0.766270i | −0.0464748 | + | 0.0337659i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.93002 | − | 15.5950i | 0.128862 | − | 0.685866i | ||||
\(518\) | 23.6904 | 1.04090 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 1.06460 | + | 3.27649i | 0.0466856 | + | 0.143683i | ||||
\(521\) | −3.54599 | + | 10.9134i | −0.155353 | + | 0.478126i | −0.998196 | − | 0.0600320i | \(-0.980880\pi\) |
0.842844 | + | 0.538158i | \(0.180880\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 16.0982 | + | 11.6960i | 0.703924 | + | 0.511431i | 0.881208 | − | 0.472729i | \(-0.156731\pi\) |
−0.177284 | + | 0.984160i | \(0.556731\pi\) | |||||||
\(524\) | −3.10914 | + | 9.56896i | −0.135824 | + | 0.418022i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −22.0651 | + | 16.0312i | −0.962083 | + | 0.698994i | ||||
\(527\) | −6.95316 | −0.302884 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −0.387783 | −0.0168601 | ||||||||
\(530\) | 0.420548 | − | 0.305546i | 0.0182674 | − | 0.0132721i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −2.27174 | + | 6.99169i | −0.0984924 | + | 0.303128i | ||||
\(533\) | 18.6058 | + | 13.5179i | 0.805905 | + | 0.585525i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.28250 | − | 3.94712i | 0.0554471 | − | 0.170649i | ||||
\(536\) | 2.54204 | + | 7.82360i | 0.109799 | + | 0.337928i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −4.69513 | −0.202421 | ||||||||
\(539\) | 16.2932 | + | 34.3765i | 0.701797 | + | 1.48070i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −5.78434 | + | 4.20257i | −0.248688 | + | 0.180683i | −0.705145 | − | 0.709063i | \(-0.749118\pi\) |
0.456457 | + | 0.889745i | \(0.349118\pi\) | |||||||
\(542\) | −11.7142 | − | 36.0525i | −0.503166 | − | 1.54859i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 3.13283 | + | 2.27614i | 0.134319 | + | 0.0975885i | ||||
\(545\) | −2.62924 | − | 1.91025i | −0.112624 | − | 0.0818262i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −4.99139 | − | 15.3619i | −0.213416 | − | 0.656828i | −0.999262 | − | 0.0384055i | \(-0.987772\pi\) |
0.785846 | − | 0.618422i | \(-0.212228\pi\) | |||||||
\(548\) | −8.44712 | + | 6.13720i | −0.360843 | + | 0.262168i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −8.48835 | − | 17.9093i | −0.361945 | − | 0.763657i | ||||
\(551\) | 32.9619 | 1.40422 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 9.06661 | + | 27.9041i | 0.385551 | + | 1.18660i | ||||
\(554\) | 3.91031 | − | 12.0347i | 0.166133 | − | 0.511305i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 5.17932 | + | 3.76300i | 0.219652 | + | 0.159587i | ||||
\(557\) | 11.0591 | − | 34.0364i | 0.468589 | − | 1.44217i | −0.385823 | − | 0.922573i | \(-0.626082\pi\) |
0.854412 | − | 0.519596i | \(-0.173918\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −24.2747 | + | 17.6366i | −1.02671 | + | 0.745950i | ||||
\(560\) | −3.43305 | −0.145073 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 10.4122 | 0.439210 | ||||||||
\(563\) | 10.5553 | − | 7.66889i | 0.444854 | − | 0.323205i | −0.342707 | − | 0.939442i | \(-0.611344\pi\) |
0.787561 | + | 0.616237i | \(0.211344\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.479249 | − | 1.47498i | 0.0201622 | − | 0.0620528i | ||||
\(566\) | 3.59664 | + | 2.61311i | 0.151178 | + | 0.109837i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −6.05824 | + | 18.6453i | −0.254198 | + | 0.782341i | ||||
\(569\) | −8.75620 | − | 26.9488i | −0.367079 | − | 1.12975i | −0.948669 | − | 0.316271i | \(-0.897569\pi\) |
0.581590 | − | 0.813482i | \(-0.302431\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −30.3427 | −1.26980 | −0.634901 | − | 0.772593i | \(-0.718959\pi\) | ||||
−0.634901 | + | 0.772593i | \(0.718959\pi\) | |||||||
\(572\) | 1.20485 | − | 6.41279i | 0.0503773 | − | 0.268132i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −25.7077 | + | 18.6777i | −1.07302 | + | 0.779593i | ||||
\(575\) | −7.21765 | − | 22.2136i | −0.300997 | − | 0.926372i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 13.4456 | + | 9.76878i | 0.559747 | + | 0.406680i | 0.831366 | − | 0.555725i | \(-0.187559\pi\) |
−0.271620 | + | 0.962405i | \(0.587559\pi\) | |||||||
\(578\) | 14.9263 | + | 10.8446i | 0.620854 | + | 0.451077i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.477965 | − | 1.47102i | −0.0198464 | − | 0.0610810i | ||||
\(581\) | −17.5724 | + | 12.7671i | −0.729027 | + | 0.529669i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.73270 | + | 0.611243i | −0.196008 | + | 0.0253151i | ||||
\(584\) | −5.07215 | −0.209887 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 2.42976 | + | 7.47805i | 0.100373 | + | 0.308915i | ||||
\(587\) | −4.13339 | + | 12.7213i | −0.170603 | + | 0.525062i | −0.999405 | − | 0.0344792i | \(-0.989023\pi\) |
0.828802 | + | 0.559542i | \(0.189023\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −13.6639 | − | 9.92742i | −0.563012 | − | 0.409052i | ||||
\(590\) | 0.705649 | − | 2.17176i | 0.0290511 | − | 0.0894101i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 9.86022 | − | 7.16387i | 0.405253 | − | 0.294433i | ||||
\(593\) | 15.8491 | 0.650843 | 0.325422 | − | 0.945569i | \(-0.394494\pi\) | ||||
0.325422 | + | 0.945569i | \(0.394494\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.72874 | −0.0708715 | ||||||||
\(596\) | 5.34260 | − | 3.88162i | 0.218841 | − | 0.158998i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −6.76497 | + | 20.8205i | −0.276640 | + | 0.851412i | ||||
\(599\) | 12.6046 | + | 9.15776i | 0.515009 | + | 0.374176i | 0.814721 | − | 0.579854i | \(-0.196890\pi\) |
−0.299711 | + | 0.954030i | \(0.596890\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 1.78207 | − | 5.48465i | 0.0726922 | − | 0.223724i | −0.908109 | − | 0.418734i | \(-0.862474\pi\) |
0.980801 | + | 0.195010i | \(0.0624740\pi\) | |||||||
\(602\) | −12.8113 | − | 39.4292i | −0.522151 | − | 1.60701i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 3.59355 | 0.146220 | ||||||||
\(605\) | 0.186994 | − | 3.26127i | 0.00760239 | − | 0.132590i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 19.6406 | − | 14.2698i | 0.797189 | − | 0.579192i | −0.112899 | − | 0.993606i | \(-0.536014\pi\) |
0.910088 | + | 0.414415i | \(0.136014\pi\) | |||||||
\(608\) | 2.90668 | + | 8.94585i | 0.117881 | + | 0.362802i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 3.40208 | + | 2.47175i | 0.137746 | + | 0.100078i | ||||
\(611\) | 14.6469 | + | 10.6416i | 0.592549 | + | 0.430512i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 8.35427 | + | 25.7118i | 0.337426 | + | 1.03849i | 0.965515 | + | 0.260348i | \(0.0838373\pi\) |
−0.628089 | + | 0.778141i | \(0.716163\pi\) | |||||||
\(614\) | −24.4342 | + | 17.7525i | −0.986086 | + | 0.716433i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 38.3511 | + | 20.9451i | 1.54521 | + | 0.843904i | ||||
\(617\) | 28.6135 | 1.15193 | 0.575967 | − | 0.817473i | \(-0.304626\pi\) | ||||
0.575967 | + | 0.817473i | \(0.304626\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −9.95700 | − | 30.6445i | −0.400205 | − | 1.23171i | −0.924833 | − | 0.380374i | \(-0.875795\pi\) |
0.524627 | − | 0.851332i | \(-0.324205\pi\) | |||||||
\(620\) | −0.244908 | + | 0.753748i | −0.00983572 | + | 0.0302712i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 9.27274 | + | 6.73704i | 0.371803 | + | 0.270131i | ||||
\(623\) | −21.6771 | + | 66.7154i | −0.868476 | + | 2.67290i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.1615 | + | 13.9217i | −0.766461 | + | 0.556866i | ||||
\(626\) | −22.5588 | −0.901631 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −3.41725 | −0.136363 | ||||||||
\(629\) | 4.96519 | − | 3.60742i | 0.197975 | − | 0.143837i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4.62443 | + | 14.2325i | −0.184096 | + | 0.566588i | −0.999932 | − | 0.0116954i | \(-0.996277\pi\) |
0.815836 | + | 0.578283i | \(0.196277\pi\) | |||||||
\(632\) | 16.9322 | + | 12.3020i | 0.673527 | + | 0.489346i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −2.10287 | + | 6.47196i | −0.0835156 | + | 0.257034i | ||||
\(635\) | −0.137989 | − | 0.424687i | −0.00547593 | − | 0.0168532i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −43.4046 | −1.71975 | ||||||||
\(638\) | 7.46421 | − | 39.7281i | 0.295511 | − | 1.57285i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.21537 | + | 0.883018i | −0.0480417 | + | 0.0349043i | ||||
\(641\) | 4.66108 | + | 14.3453i | 0.184102 | + | 0.566606i | 0.999932 | − | 0.0116853i | \(-0.00371962\pi\) |
−0.815830 | + | 0.578292i | \(0.803720\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −19.1204 | − | 13.8918i | −0.754034 | − | 0.547838i | 0.143041 | − | 0.989717i | \(-0.454312\pi\) |
−0.897075 | + | 0.441879i | \(0.854312\pi\) | |||||||
\(644\) | 8.59572 | + | 6.24516i | 0.338719 | + | 0.246094i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −1.67548 | − | 5.15659i | −0.0659208 | − | 0.202883i | ||||
\(647\) | 3.66443 | − | 2.66236i | 0.144064 | − | 0.104668i | −0.513419 | − | 0.858138i | \(-0.671621\pi\) |
0.657483 | + | 0.753470i | \(0.271621\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −15.2413 | + | 14.3924i | −0.598273 | + | 0.564952i | ||||
\(650\) | 22.6128 | 0.886946 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.517487 | − | 1.59266i | −0.0202664 | − | 0.0623735i | ||||
\(653\) | 0.260750 | − | 0.802506i | 0.0102039 | − | 0.0314045i | −0.945825 | − | 0.324677i | \(-0.894744\pi\) |
0.956029 | + | 0.293273i | \(0.0947444\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −4.64949 | − | 3.37805i | −0.181671 | − | 0.131991i | ||||
\(656\) | −5.05178 | + | 15.5478i | −0.197239 | + | 0.607038i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −20.2376 | + | 14.7035i | −0.788946 | + | 0.573202i | ||||
\(659\) | −17.7262 | −0.690515 | −0.345257 | − | 0.938508i | \(-0.612208\pi\) | ||||
−0.345257 | + | 0.938508i | \(0.612208\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −40.9606 | −1.59318 | −0.796592 | − | 0.604518i | \(-0.793366\pi\) | ||||
−0.796592 | + | 0.604518i | \(0.793366\pi\) | |||||||
\(662\) | −19.1799 | + | 13.9350i | −0.745448 | + | 0.541600i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −4.78795 | + | 14.7358i | −0.185809 | + | 0.571860i | ||||
\(665\) | −3.39722 | − | 2.46822i | −0.131738 | − | 0.0957135i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 14.7212 | − | 45.3071i | 0.570006 | − | 1.75430i | ||||
\(668\) | −1.67918 | − | 5.16799i | −0.0649695 | − | 0.199956i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.969448 | −0.0374530 | ||||||||
\(671\) | −16.5337 | − | 34.8839i | −0.638275 | − | 1.34668i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −7.38179 | + | 5.36319i | −0.284547 | + | 0.206736i | −0.720898 | − | 0.693041i | \(-0.756271\pi\) |
0.436351 | + | 0.899776i | \(0.356271\pi\) | |||||||
\(674\) | 4.68225 | + | 14.4105i | 0.180353 | + | 0.555071i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.555055 | + | 0.403271i | 0.0213483 | + | 0.0155104i | ||||
\(677\) | −24.9222 | − | 18.1070i | −0.957837 | − | 0.695909i | −0.00518928 | − | 0.999987i | \(-0.501652\pi\) |
−0.952647 | + | 0.304078i | \(0.901652\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 5.18503 | + | 15.9579i | 0.198983 | + | 0.612407i | ||||
\(680\) | −0.997656 | + | 0.724840i | −0.0382584 | + | 0.0277963i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −15.0595 | + | 14.2207i | −0.576657 | + | 0.544540i | ||||
\(683\) | 27.4084 | 1.04875 | 0.524377 | − | 0.851486i | \(-0.324298\pi\) | ||||
0.524377 | + | 0.851486i | \(0.324298\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −1.84299 | − | 5.67214i | −0.0704170 | − | 0.216721i | ||||
\(686\) | 7.22250 | − | 22.2286i | 0.275756 | − | 0.848690i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −17.2554 | − | 12.5368i | −0.657858 | − | 0.477962i | ||||
\(689\) | 1.68249 | − | 5.17818i | 0.0640979 | − | 0.197273i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −1.45541 | + | 1.05742i | −0.0553664 | + | 0.0402261i | −0.615124 | − | 0.788430i | \(-0.710894\pi\) |
0.559758 | + | 0.828656i | \(0.310894\pi\) | |||||||
\(692\) | −6.89694 | −0.262182 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −17.8104 | −0.676074 | ||||||||
\(695\) | −2.95844 | + | 2.14943i | −0.112220 | + | 0.0815325i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.54386 | + | 7.82920i | −0.0963556 | + | 0.296552i | ||||
\(698\) | 19.6600 | + | 14.2838i | 0.744141 | + | 0.540650i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 3.39138 | − | 10.4376i | 0.128182 | − | 0.394505i | ||||
\(701\) | −3.16366 | − | 9.73676i | −0.119490 | − | 0.367752i | 0.873367 | − | 0.487063i | \(-0.161932\pi\) |
−0.992857 | + | 0.119310i | \(0.961932\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 14.9078 | 0.562259 | ||||||||
\(704\) | 29.1363 | − | 3.76304i | 1.09812 | − | 0.141825i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 28.1079 | − | 20.4216i | 1.05785 | − | 0.768576i | ||||
\(707\) | −14.3571 | − | 44.1867i | −0.539956 | − | 1.66181i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −18.3375 | − | 13.3230i | −0.688679 | − | 0.500354i | 0.187547 | − | 0.982256i | \(-0.439946\pi\) |
−0.876226 | + | 0.481901i | \(0.839946\pi\) | |||||||
\(710\) | −1.86916 | − | 1.35802i | −0.0701483 | − | 0.0509657i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 15.4631 | + | 47.5904i | 0.579503 | + | 1.78353i | ||||
\(713\) | −19.7480 | + | 14.3478i | −0.739570 | + | 0.537329i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.27105 | + | 1.78646i | 0.122330 | + | 0.0668097i | ||||
\(716\) | −10.1948 | −0.380999 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −4.65356 | − | 14.3222i | −0.173669 | − | 0.534499i | ||||
\(719\) | −11.6978 | + | 36.0023i | −0.436256 | + | 1.34266i | 0.455538 | + | 0.890216i | \(0.349447\pi\) |
−0.891794 | + | 0.452441i | \(0.850553\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −15.2633 | − | 11.0895i | −0.568436 | − | 0.412993i | ||||
\(722\) | −3.07321 | + | 9.45837i | −0.114373 | + | 0.352004i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −10.7815 | + | 7.83321i | −0.400691 | + | 0.291119i | ||||
\(725\) | −49.2074 | −1.82752 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 16.6183 | 0.616339 | 0.308169 | − | 0.951332i | \(-0.400284\pi\) | ||||
0.308169 | + | 0.951332i | \(0.400284\pi\) | |||||||
\(728\) | −40.3356 | + | 29.3055i | −1.49494 | + | 1.08613i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.184714 | − | 0.568490i | 0.00683656 | − | 0.0210408i | ||||
\(731\) | −8.68911 | − | 6.31301i | −0.321378 | − | 0.233495i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 8.58415 | − | 26.4193i | 0.317063 | − | 0.975819i | −0.657834 | − | 0.753163i | \(-0.728527\pi\) |
0.974897 | − | 0.222656i | \(-0.0714728\pi\) | |||||||
\(734\) | −9.18177 | − | 28.2586i | −0.338905 | − | 1.04304i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 13.5945 | 0.501100 | ||||||||
\(737\) | 7.81061 | + | 4.26570i | 0.287708 | + | 0.157129i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −3.84927 | + | 2.79666i | −0.141598 | + | 0.102877i | −0.656329 | − | 0.754475i | \(-0.727892\pi\) |
0.514731 | + | 0.857352i | \(0.327892\pi\) | |||||||
\(740\) | −0.216171 | − | 0.665307i | −0.00794662 | − | 0.0244572i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 6.08616 | + | 4.42186i | 0.223430 | + | 0.162331i | ||||
\(743\) | −31.5327 | − | 22.9099i | −1.15682 | − | 0.840482i | −0.167451 | − | 0.985880i | \(-0.553554\pi\) |
−0.989373 | + | 0.145398i | \(0.953554\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.16565 | + | 3.58749i | 0.0427060 | + | 0.131435i | ||||
\(746\) | −3.08440 | + | 2.24095i | −0.112928 | + | 0.0820469i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 2.31638 | − | 0.299167i | 0.0846951 | − | 0.0109386i | ||||
\(749\) | 60.0623 | 2.19463 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 14.9389 | + | 45.9773i | 0.545129 | + | 1.67774i | 0.720682 | + | 0.693266i | \(0.243829\pi\) |
−0.175552 | + | 0.984470i | \(0.556171\pi\) | |||||||
\(752\) | −3.97687 | + | 12.2395i | −0.145022 | + | 0.446330i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 37.3129 | + | 27.1094i | 1.35885 | + | 0.987266i | ||||
\(755\) | −0.634302 | + | 1.95218i | −0.0230846 | + | 0.0710471i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −37.7757 | + | 27.4457i | −1.37298 | + | 0.997529i | −0.375483 | + | 0.926829i | \(0.622523\pi\) |
−0.997498 | + | 0.0707000i | \(0.977477\pi\) | |||||||
\(758\) | 20.3273 | 0.738320 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −2.99543 | −0.108656 | ||||||||
\(761\) | −4.76285 | + | 3.46042i | −0.172653 | + | 0.125440i | −0.670756 | − | 0.741678i | \(-0.734030\pi\) |
0.498103 | + | 0.867118i | \(0.334030\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 14.5339 | − | 44.7308i | 0.526163 | − | 1.61936i | ||||
\(764\) | −6.47815 | − | 4.70665i | −0.234371 | − | 0.170281i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −2.57663 | + | 7.93007i | −0.0930976 | + | 0.286525i | ||||
\(767\) | −7.39098 | − | 22.7471i | −0.266873 | − | 0.821350i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 37.1729 | 1.34049 | 0.670245 | − | 0.742140i | \(-0.266189\pi\) | ||||
0.670245 | + | 0.742140i | \(0.266189\pi\) | |||||||
\(770\) | −3.74419 | + | 3.53565i | −0.134931 | + | 0.127416i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −5.92667 | + | 4.30598i | −0.213306 | + | 0.154976i | ||||
\(773\) | 1.81396 | + | 5.58279i | 0.0652435 | + | 0.200799i | 0.978364 | − | 0.206891i | \(-0.0663345\pi\) |
−0.913121 | + | 0.407690i | \(0.866335\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 20.3983 | + | 14.8202i | 0.732729 | + | 0.532359i | ||||
\(776\) | 9.68322 | + | 7.03527i | 0.347607 | + | 0.252552i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −8.97137 | − | 27.6110i | −0.321639 | − | 0.989903i | ||||
\(779\) | −16.1772 | + | 11.7534i | −0.579610 | + | 0.421111i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 9.08388 | + | 19.1658i | 0.325047 | + | 0.685807i | ||||
\(782\) | −7.83619 | −0.280222 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −9.53433 | − | 29.3436i | −0.340512 | − | 1.04799i | ||||
\(785\) | 0.603182 | − | 1.85640i | 0.0215285 | − | 0.0662579i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 6.19242 | + | 4.49905i | 0.220736 | + | 0.160374i | 0.692658 | − | 0.721266i | \(-0.256440\pi\) |
−0.471922 | + | 0.881640i | \(0.656440\pi\) | |||||||
\(788\) | 0.825868 | − | 2.54176i | 0.0294203 | − | 0.0905464i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −1.99544 | + | 1.44977i | −0.0709944 | + | 0.0515805i | ||||
\(791\) | 22.4444 | 0.798030 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 44.0453 | 1.56410 | ||||||||
\(794\) | 2.45110 | − | 1.78083i | 0.0869863 | − | 0.0631992i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 2.56345 | − | 7.88950i | 0.0908592 | − | 0.279636i | ||||
\(797\) | 26.4082 | + | 19.1867i | 0.935426 | + | 0.679627i | 0.947315 | − | 0.320302i | \(-0.103785\pi\) |
−0.0118892 | + | 0.999929i | \(0.503785\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −2.00258 | + | 6.16332i | −0.0708463 | + | 0.218043i | ||||
\(800\) | −4.33926 | − | 13.3549i | −0.153416 | − | 0.472166i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −25.6650 | −0.906264 | ||||||||
\(803\) | −3.98963 | + | 3.76742i | −0.140791 | + | 0.132949i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −4.90989 | + | 3.56724i | −0.173051 | + | 0.125729i | ||||
\(806\) | −7.30280 | − | 22.4757i | −0.257230 | − | 0.791673i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −26.8124 | − | 19.4804i | −0.943258 | − | 0.685317i | ||||
\(809\) | −23.1264 | − | 16.8023i | −0.813083 | − | 0.590739i | 0.101640 | − | 0.994821i | \(-0.467591\pi\) |
−0.914723 | + | 0.404082i | \(0.867591\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −3.88616 | − | 11.9604i | −0.136461 | − | 0.419985i | 0.859353 | − | 0.511383i | \(-0.170867\pi\) |
−0.995814 | + | 0.0913977i | \(0.970867\pi\) | |||||||
\(812\) | 18.1092 | − | 13.1571i | 0.635509 | − | 0.461724i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 3.37587 | − | 17.9680i | 0.118324 | − | 0.629779i | ||||
\(815\) | 0.956548 | 0.0335064 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −8.06187 | − | 24.8119i | −0.282049 | − | 0.868058i | ||||
\(818\) | −5.72360 | + | 17.6154i | −0.200121 | + | 0.615909i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.759113 | + | 0.551528i | 0.0265094 | + | 0.0192602i | ||||
\(821\) | −8.35458 | + | 25.7128i | −0.291577 | + | 0.897382i | 0.692773 | + | 0.721156i | \(0.256389\pi\) |
−0.984350 | + | 0.176226i | \(0.943611\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −5.50194 | + | 3.99739i | −0.191786 | + | 0.139340i | −0.679534 | − | 0.733644i | \(-0.737818\pi\) |
0.487749 | + | 0.872984i | \(0.337818\pi\) | |||||||
\(824\) | −13.4581 | −0.468837 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 33.0472 | 1.14986 | ||||||||
\(827\) | 22.6938 | − | 16.4880i | 0.789142 | − | 0.573345i | −0.118566 | − | 0.992946i | \(-0.537830\pi\) |
0.907709 | + | 0.419601i | \(0.137830\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 15.9591 | − | 49.1170i | 0.554282 | − | 1.70591i | −0.143549 | − | 0.989643i | \(-0.545852\pi\) |
0.697831 | − | 0.716262i | \(-0.254148\pi\) | |||||||
\(830\) | −1.47723 | − | 1.07327i | −0.0512755 | − | 0.0372539i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −10.3581 | + | 31.8789i | −0.359102 | + | 1.10520i | ||||
\(833\) | −4.80109 | − | 14.7762i | −0.166348 | − | 0.511966i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.10388 | 0.107414 | ||||||||
\(836\) | 4.97914 | + | 2.71932i | 0.172207 | + | 0.0940495i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −2.29442 | + | 1.66699i | −0.0792593 | + | 0.0575853i | ||||
\(839\) | 5.26790 | + | 16.2129i | 0.181868 | + | 0.559732i | 0.999880 | − | 0.0154686i | \(-0.00492400\pi\) |
−0.818012 | + | 0.575201i | \(0.804924\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −57.7346 | − | 41.9467i | −1.99085 | − | 1.44644i | ||||
\(842\) | 1.86435 | + | 1.35453i | 0.0642499 | + | 0.0466803i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −1.53100 | − | 4.71192i | −0.0526991 | − | 0.162191i | ||||
\(845\) | −0.317049 | + | 0.230349i | −0.0109068 | + | 0.00792426i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 45.7234 | − | 12.0110i | 1.57107 | − | 0.412702i | ||||
\(848\) | 3.87028 | 0.132906 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 2.50125 | + | 7.69806i | 0.0857922 | + | 0.264041i | ||||
\(851\) | 6.65802 | − | 20.4913i | 0.228234 | − | 0.702432i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 16.1838 | + | 11.7582i | 0.554122 | + | 0.402594i | 0.829303 | − | 0.558799i | \(-0.188738\pi\) |
−0.275181 | + | 0.961393i | \(0.588738\pi\) | |||||||
\(854\) | −18.8060 | + | 57.8790i | −0.643529 | + | 1.98058i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 34.6619 | − | 25.1834i | 1.18472 | − | 0.860750i | ||||
\(857\) | 19.3076 | 0.659536 | 0.329768 | − | 0.944062i | \(-0.393029\pi\) | ||||
0.329768 | + | 0.944062i | \(0.393029\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 21.7196 | 0.741063 | 0.370531 | − | 0.928820i | \(-0.379176\pi\) | ||||
0.370531 | + | 0.928820i | \(0.379176\pi\) | |||||||
\(860\) | −0.990405 | + | 0.719571i | −0.0337725 | + | 0.0245372i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −0.571613 | + | 1.75924i | −0.0194692 | + | 0.0599201i | ||||
\(863\) | 11.0445 | + | 8.02429i | 0.375959 | + | 0.273150i | 0.759677 | − | 0.650300i | \(-0.225357\pi\) |
−0.383719 | + | 0.923450i | \(0.625357\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1.21739 | − | 3.74673i | 0.0413924 | − | 0.127393i | ||||
\(866\) | 10.3249 | + | 31.7767i | 0.350854 | + | 1.07982i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −11.4696 | −0.389303 | ||||||||
\(869\) | 22.4559 | − | 2.90025i | 0.761765 | − | 0.0983844i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −8.21477 | + | 5.96838i | −0.278347 | + | 0.202231i | ||||
\(872\) | −10.3676 | − | 31.9080i | −0.351090 | − | 1.08054i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −15.3992 | − | 11.1882i | −0.520886 | − | 0.378446i | ||||
\(875\) | 10.2342 | + | 7.43557i | 0.345979 | + | 0.251368i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −3.67201 | − | 11.3013i | −0.123995 | − | 0.381617i | 0.869722 | − | 0.493543i | \(-0.164298\pi\) |
−0.993717 | + | 0.111925i | \(0.964298\pi\) | |||||||
\(878\) | −3.80991 | + | 2.76806i | −0.128578 | + | 0.0934175i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.489209 | + | 2.60381i | −0.0164912 | + | 0.0877743i | ||||
\(881\) | 41.6730 | 1.40400 | 0.702000 | − | 0.712177i | \(-0.252291\pi\) | ||||
0.702000 | + | 0.712177i | \(0.252291\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 2.74739 | + | 8.45560i | 0.0924570 | + | 0.284553i | 0.986583 | − | 0.163263i | \(-0.0522018\pi\) |
−0.894126 | + | 0.447816i | \(0.852202\pi\) | |||||||
\(884\) | −0.823481 | + | 2.53441i | −0.0276967 | + | 0.0852416i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 36.6701 | + | 26.6424i | 1.23196 | + | 0.895068i | ||||
\(887\) | 5.88464 | − | 18.1111i | 0.197587 | − | 0.608110i | −0.802350 | − | 0.596854i | \(-0.796417\pi\) |
0.999937 | − | 0.0112557i | \(-0.00358287\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 5.22816 | − | 3.79848i | 0.175347 | − | 0.127397i | ||||
\(890\) | −5.89708 | −0.197671 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −8.00531 | −0.268038 | ||||||||
\(893\) | −12.7351 | + | 9.25257i | −0.426163 | + | 0.309626i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.79950 | − | 5.53829i | 0.0601507 | − | 0.185125i | ||||
\(896\) | −17.5888 | − | 12.7790i | −0.587601 | − | 0.426917i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 6.78207 | − | 20.8731i | 0.226321 | − | 0.696543i | ||||
\(899\) | 15.8915 | + | 48.9091i | 0.530013 | + | 1.63121i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.94891 | 0.0649276 | ||||||||
\(902\) | 10.5028 | + | 22.1596i | 0.349705 | + | 0.737834i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 12.9526 | − | 9.41065i | 0.430798 | − | 0.312993i | ||||
\(905\) | −2.35230 | − | 7.23964i | −0.0781932 | − | 0.240654i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 45.0291 | + | 32.7156i | 1.49517 | + | 1.08630i | 0.972257 | + | 0.233915i | \(0.0751537\pi\) |
0.522910 | + | 0.852388i | \(0.324846\pi\) | |||||||
\(908\) | 8.60699 | + | 6.25334i | 0.285633 | + | 0.207524i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −1.81567 | − | 5.58806i | −0.0601889 | − | 0.185242i | ||||
\(911\) | 14.8068 | − | 10.7578i | 0.490572 | − | 0.356421i | −0.314832 | − | 0.949147i | \(-0.601948\pi\) |
0.805404 | + | 0.592726i | \(0.201948\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 7.17917 | + | 15.1471i | 0.237596 | + | 0.501297i | ||||
\(914\) | −22.0043 | −0.727838 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 4.69469 | + | 14.4488i | 0.155117 | + | 0.477401i | ||||
\(917\) | 25.7015 | − | 79.1011i | 0.848738 | − | 2.61215i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 43.7416 | + | 31.7801i | 1.44290 | + | 1.04833i | 0.987426 | + | 0.158083i | \(0.0505313\pi\) |
0.455477 | + | 0.890248i | \(0.349469\pi\) | |||||||
\(920\) | −1.33780 | + | 4.11731i | −0.0441058 | + | 0.135744i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 12.0906 | − | 8.78433i | 0.398182 | − | 0.289296i | ||||
\(923\) | −24.1992 | −0.796528 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −22.2553 | −0.731749 | ||||||||
\(926\) | −0.165442 | + | 0.120201i | −0.00543676 | + | 0.00395004i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 8.85041 | − | 27.2388i | 0.290529 | − | 0.894156i | ||||
\(929\) | −0.148122 | − | 0.107617i | −0.00485971 | − | 0.00353079i | 0.585353 | − | 0.810779i | \(-0.300956\pi\) |
−0.590212 | + | 0.807248i | \(0.700956\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 11.6621 | − | 35.8921i | 0.382208 | − | 1.17632i | ||||
\(932\) | −0.117614 | − | 0.361979i | −0.00385257 | − | 0.0118570i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 6.47213 | 0.211775 | ||||||||
\(935\) | −0.246345 | + | 1.31117i | −0.00805634 | + | 0.0428797i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −1.12949 | + | 0.820624i | −0.0368989 | + | 0.0268086i | −0.606082 | − | 0.795402i | \(-0.707260\pi\) |
0.569183 | + | 0.822211i | \(0.307260\pi\) | |||||||
\(938\) | −4.33546 | − | 13.3432i | −0.141558 | − | 0.435670i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.597590 | + | 0.434175i | 0.0194912 | + | 0.0141612i | ||||
\(941\) | −13.2972 | − | 9.66102i | −0.433478 | − | 0.314940i | 0.349560 | − | 0.936914i | \(-0.386331\pi\) |
−0.783038 | + | 0.621974i | \(0.786331\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 8.93054 | + | 27.4854i | 0.290818 | + | 0.895047i | ||||
\(944\) | 13.7546 | − | 9.99332i | 0.447675 | − | 0.325255i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −31.7308 | + | 4.09813i | −1.03166 | + | 0.133242i | ||||
\(947\) | −18.6801 | −0.607022 | −0.303511 | − | 0.952828i | \(-0.598159\pi\) | ||||
−0.303511 | + | 0.952828i | \(0.598159\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.93469 | − | 5.95437i | −0.0628028 | − | 0.193287i | ||||
\(950\) | −6.07565 | + | 18.6989i | −0.197120 | + | 0.606673i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −14.4381 | − | 10.4899i | −0.467941 | − | 0.339979i | ||||
\(953\) | −0.637622 | + | 1.96240i | −0.0206546 | + | 0.0635683i | −0.960853 | − | 0.277060i | \(-0.910640\pi\) |
0.940198 | + | 0.340629i | \(0.110640\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 3.70033 | − | 2.68845i | 0.119740 | − | 0.0869961i | ||||
\(956\) | 12.0406 | 0.389422 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 29.2703 | 0.945680 | ||||||||
\(959\) | 69.8275 | − | 50.7327i | 2.25485 | − | 1.63824i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −1.43675 | + | 4.42187i | −0.0463469 | + | 0.142641i | ||||
\(962\) | 16.8757 | + | 12.2609i | 0.544093 | + | 0.395307i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0.418315 | − | 1.28744i | 0.0134730 | − | 0.0414657i | ||||
\(965\) | −1.29308 | − | 3.97969i | −0.0416257 | − | 0.128111i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −0.772328 | −0.0248364 | −0.0124182 | − | 0.999923i | \(-0.503953\pi\) | ||||
−0.0124182 | + | 0.999923i | \(0.503953\pi\) | |||||||
\(968\) | 21.3509 | − | 26.1028i | 0.686244 | − | 0.838975i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −1.14115 | + | 0.829097i | −0.0366402 | + | 0.0266207i | ||||
\(971\) | −9.93662 | − | 30.5818i | −0.318881 | − | 0.981415i | −0.974127 | − | 0.226000i | \(-0.927435\pi\) |
0.655246 | − | 0.755415i | \(-0.272565\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −42.8145 | − | 31.1065i | −1.37257 | − | 0.997230i | ||||
\(974\) | 38.5527 | + | 28.0101i | 1.23531 | + | 0.897503i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 9.67506 | + | 29.7768i | 0.309691 | + | 0.953132i | ||||
\(977\) | −22.0894 | + | 16.0489i | −0.706703 | + | 0.513450i | −0.882108 | − | 0.471047i | \(-0.843876\pi\) |
0.175405 | + | 0.984496i | \(0.443876\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 47.5114 | + | 25.9480i | 1.51847 | + | 0.829301i | ||||
\(980\) | −1.77090 | −0.0565694 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −6.55765 | − | 20.1824i | −0.209263 | − | 0.644045i | ||||
\(983\) | 1.74921 | − | 5.38352i | 0.0557911 | − | 0.171707i | −0.919278 | − | 0.393609i | \(-0.871226\pi\) |
0.975069 | + | 0.221902i | \(0.0712264\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1.23502 | + | 0.897297i | 0.0393511 | + | 0.0285903i | ||||
\(986\) | −5.10158 | + | 15.7010i | −0.162467 | + | 0.500023i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −5.23678 | + | 3.80475i | −0.166604 | + | 0.121045i | ||||
\(989\) | −37.7053 | −1.19896 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −31.1742 | −0.990280 | −0.495140 | − | 0.868813i | \(-0.664883\pi\) | ||||
−0.495140 | + | 0.868813i | \(0.664883\pi\) | |||||||
\(992\) | −11.8726 | + | 8.62593i | −0.376955 | + | 0.273873i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 10.3323 | − | 31.7997i | 0.327722 | − | 1.00863i | ||||
\(995\) | 3.83345 | + | 2.78517i | 0.121529 | + | 0.0882957i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −12.7499 | + | 39.2400i | −0.403792 | + | 1.24274i | 0.518108 | + | 0.855315i | \(0.326637\pi\) |
−0.921900 | + | 0.387429i | \(0.873363\pi\) | |||||||
\(998\) | 2.69938 | + | 8.30785i | 0.0854475 | + | 0.262980i | ||||
\(999\) | 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 | 297.2.f.a.190.2 | yes | 16 | |
3.2 | odd | 2 | 297.2.f.d.190.3 | yes | 16 | ||
9.2 | odd | 6 | 891.2.n.f.190.2 | 32 | |||
9.4 | even | 3 | 891.2.n.i.784.2 | 32 | |||
9.5 | odd | 6 | 891.2.n.f.784.3 | 32 | |||
9.7 | even | 3 | 891.2.n.i.190.3 | 32 | |||
11.2 | odd | 10 | 3267.2.a.bf.1.4 | 8 | |||
11.4 | even | 5 | inner | 297.2.f.a.136.2 | ✓ | 16 | |
11.9 | even | 5 | 3267.2.a.bm.1.5 | 8 | |||
33.2 | even | 10 | 3267.2.a.bl.1.5 | 8 | |||
33.20 | odd | 10 | 3267.2.a.be.1.4 | 8 | |||
33.26 | odd | 10 | 297.2.f.d.136.3 | yes | 16 | ||
99.4 | even | 15 | 891.2.n.i.136.3 | 32 | |||
99.59 | odd | 30 | 891.2.n.f.136.2 | 32 | |||
99.70 | even | 15 | 891.2.n.i.433.2 | 32 | |||
99.92 | odd | 30 | 891.2.n.f.433.3 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
297.2.f.a.136.2 | ✓ | 16 | 11.4 | even | 5 | inner | |
297.2.f.a.190.2 | yes | 16 | 1.1 | even | 1 | trivial | |
297.2.f.d.136.3 | yes | 16 | 33.26 | odd | 10 | ||
297.2.f.d.190.3 | yes | 16 | 3.2 | odd | 2 | ||
891.2.n.f.136.2 | 32 | 99.59 | odd | 30 | |||
891.2.n.f.190.2 | 32 | 9.2 | odd | 6 | |||
891.2.n.f.433.3 | 32 | 99.92 | odd | 30 | |||
891.2.n.f.784.3 | 32 | 9.5 | odd | 6 | |||
891.2.n.i.136.3 | 32 | 99.4 | even | 15 | |||
891.2.n.i.190.3 | 32 | 9.7 | even | 3 | |||
891.2.n.i.433.2 | 32 | 99.70 | even | 15 | |||
891.2.n.i.784.2 | 32 | 9.4 | even | 3 | |||
3267.2.a.be.1.4 | 8 | 33.20 | odd | 10 | |||
3267.2.a.bf.1.4 | 8 | 11.2 | odd | 10 | |||
3267.2.a.bl.1.5 | 8 | 33.2 | even | 10 | |||
3267.2.a.bm.1.5 | 8 | 11.9 | even | 5 |