Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [460,2,Mod(11,460)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(460, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("460.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 460 = 2^{2} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 460.q (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.67311849298\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 11.2 | ||
Character | \(\chi\) | \(=\) | 460.11 |
Dual form | 460.2.q.a.251.2 |
$q$-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 \(\left(\mathbb{Z}/460\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(277\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{9}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41004 | + | 0.108605i | −0.997047 | + | 0.0767953i | ||||
\(3\) | −2.31335 | − | 0.332609i | −1.33561 | − | 0.192032i | −0.562761 | − | 0.826619i | \(-0.690261\pi\) |
−0.772851 | + | 0.634587i | \(0.781170\pi\) | |||||||
\(4\) | 1.97641 | − | 0.306274i | 0.988205 | − | 0.153137i | ||||
\(5\) | −0.281733 | − | 0.959493i | −0.125995 | − | 0.429098i | ||||
\(6\) | 3.29803 | + | 0.217751i | 1.34642 | + | 0.0888963i | ||||
\(7\) | −1.52622 | − | 1.76136i | −0.576858 | − | 0.665730i | 0.390068 | − | 0.920786i | \(-0.372451\pi\) |
−0.966926 | + | 0.255056i | \(0.917906\pi\) | |||||||
\(8\) | −2.75355 | + | 0.646505i | −0.973526 | + | 0.228574i | ||||
\(9\) | 2.36248 | + | 0.693685i | 0.787492 | + | 0.231228i | ||||
\(10\) | 0.501459 | + | 1.32232i | 0.158575 | + | 0.418155i | ||||
\(11\) | −0.980273 | − | 0.629983i | −0.295563 | − | 0.189947i | 0.384452 | − | 0.923145i | \(-0.374390\pi\) |
−0.680015 | + | 0.733198i | \(0.738027\pi\) | |||||||
\(12\) | −4.67400 | + | 0.0511460i | −1.34927 | + | 0.0147646i | ||||
\(13\) | 2.14199 | − | 2.47199i | 0.594081 | − | 0.685606i | −0.376490 | − | 0.926421i | \(-0.622869\pi\) |
0.970571 | + | 0.240815i | \(0.0774146\pi\) | |||||||
\(14\) | 2.34332 | + | 2.31782i | 0.626279 | + | 0.619464i | ||||
\(15\) | 0.332609 | + | 2.31335i | 0.0858794 | + | 0.597304i | ||||
\(16\) | 3.81239 | − | 1.21065i | 0.953098 | − | 0.302661i | ||||
\(17\) | −0.352578 | + | 0.161017i | −0.0855127 | + | 0.0390523i | −0.457712 | − | 0.889100i | \(-0.651331\pi\) |
0.372199 | + | 0.928153i | \(0.378604\pi\) | |||||||
\(18\) | −3.40652 | − | 0.721546i | −0.802924 | − | 0.170070i | ||||
\(19\) | 0.159288 | − | 0.348792i | 0.0365432 | − | 0.0800184i | −0.890480 | − | 0.455022i | \(-0.849631\pi\) |
0.927023 | + | 0.375004i | \(0.122359\pi\) | |||||||
\(20\) | −0.850687 | − | 1.81006i | −0.190219 | − | 0.404743i | ||||
\(21\) | 2.94484 | + | 4.58227i | 0.642618 | + | 0.999932i | ||||
\(22\) | 1.45064 | + | 0.781837i | 0.309278 | + | 0.166688i | ||||
\(23\) | −4.72599 | − | 0.815490i | −0.985437 | − | 0.170041i | ||||
\(24\) | 6.58495 | − | 0.579737i | 1.34415 | − | 0.118338i | ||||
\(25\) | −0.841254 | + | 0.540641i | −0.168251 | + | 0.108128i | ||||
\(26\) | −2.75182 | + | 3.71823i | −0.539675 | + | 0.729204i | ||||
\(27\) | 1.14330 | + | 0.522128i | 0.220028 | + | 0.100484i | ||||
\(28\) | −3.55590 | − | 3.01372i | −0.672002 | − | 0.569539i | ||||
\(29\) | 2.50706 | + | 5.48970i | 0.465549 | + | 1.01941i | 0.986187 | + | 0.165634i | \(0.0529669\pi\) |
−0.520638 | + | 0.853778i | \(0.674306\pi\) | |||||||
\(30\) | −0.720233 | − | 3.22579i | −0.131496 | − | 0.588945i | ||||
\(31\) | −4.23497 | + | 0.608897i | −0.760623 | + | 0.109361i | −0.511702 | − | 0.859163i | \(-0.670985\pi\) |
−0.248921 | + | 0.968524i | \(0.580076\pi\) | |||||||
\(32\) | −5.24413 | + | 2.12110i | −0.927041 | + | 0.374961i | ||||
\(33\) | 2.05818 | + | 1.78342i | 0.358282 | + | 0.310453i | ||||
\(34\) | 0.479661 | − | 0.265332i | 0.0822612 | − | 0.0455040i | ||||
\(35\) | −1.26002 | + | 1.96063i | −0.212982 | + | 0.331407i | ||||
\(36\) | 4.88168 | + | 0.647442i | 0.813613 | + | 0.107907i | ||||
\(37\) | −1.15575 | + | 3.93613i | −0.190005 | + | 0.647096i | 0.808294 | + | 0.588780i | \(0.200391\pi\) |
−0.998298 | + | 0.0583165i | \(0.981427\pi\) | |||||||
\(38\) | −0.186721 | + | 0.509109i | −0.0302902 | + | 0.0825884i | ||||
\(39\) | −5.77738 | + | 5.00612i | −0.925121 | + | 0.801621i | ||||
\(40\) | 1.39608 | + | 2.45987i | 0.220740 | + | 0.388939i | ||||
\(41\) | −9.31928 | + | 2.73639i | −1.45543 | + | 0.427352i | −0.911332 | − | 0.411672i | \(-0.864945\pi\) |
−0.544095 | + | 0.839024i | \(0.683127\pi\) | |||||||
\(42\) | −4.65000 | − | 6.14134i | −0.717510 | − | 0.947629i | ||||
\(43\) | −1.16496 | + | 8.10246i | −0.177654 | + | 1.23561i | 0.684517 | + | 0.728997i | \(0.260013\pi\) |
−0.862171 | + | 0.506617i | \(0.830896\pi\) | |||||||
\(44\) | −2.13037 | − | 0.944873i | −0.321165 | − | 0.142445i | ||||
\(45\) | − | 2.46221i | − | 0.367045i | ||||||
\(46\) | 6.75239 | + | 0.636606i | 0.995585 | + | 0.0938624i | ||||
\(47\) | 3.41098i | 0.497543i | 0.968562 | + | 0.248771i | \(0.0800268\pi\) | ||||
−0.968562 | + | 0.248771i | \(0.919973\pi\) | |||||||
\(48\) | −9.22207 | + | 1.53261i | −1.33109 | + | 0.221213i | ||||
\(49\) | 0.223188 | − | 1.55231i | 0.0318840 | − | 0.221758i | ||||
\(50\) | 1.12748 | − | 0.853688i | 0.159450 | − | 0.120730i | ||||
\(51\) | 0.869192 | − | 0.255218i | 0.121711 | − | 0.0357376i | ||||
\(52\) | 3.47634 | − | 5.54170i | 0.482082 | − | 0.768495i | ||||
\(53\) | −9.78687 | + | 8.48038i | −1.34433 | + | 1.16487i | −0.372812 | + | 0.927907i | \(0.621606\pi\) |
−0.971519 | + | 0.236962i | \(0.923848\pi\) | |||||||
\(54\) | −1.66880 | − | 0.612052i | −0.227095 | − | 0.0832897i | ||||
\(55\) | −0.328290 | + | 1.11805i | −0.0442666 | + | 0.150758i | ||||
\(56\) | 5.34126 | + | 3.86327i | 0.713755 | + | 0.516251i | ||||
\(57\) | −0.484500 | + | 0.753897i | −0.0641736 | + | 0.0998561i | ||||
\(58\) | −4.13126 | − | 7.46840i | −0.542461 | − | 0.980649i | ||||
\(59\) | 4.99666 | + | 4.32963i | 0.650510 | + | 0.563670i | 0.916365 | − | 0.400343i | \(-0.131109\pi\) |
−0.265856 | + | 0.964013i | \(0.585654\pi\) | |||||||
\(60\) | 1.36589 | + | 4.47026i | 0.176336 | + | 0.577108i | ||||
\(61\) | −1.74307 | + | 0.250616i | −0.223178 | + | 0.0320881i | −0.252996 | − | 0.967467i | \(-0.581416\pi\) |
0.0298187 | + | 0.999555i | \(0.490507\pi\) | |||||||
\(62\) | 5.90534 | − | 1.31851i | 0.749979 | − | 0.167450i | ||||
\(63\) | −2.38384 | − | 5.21988i | −0.300335 | − | 0.657643i | ||||
\(64\) | 7.16406 | − | 3.56037i | 0.895508 | − | 0.445046i | ||||
\(65\) | −2.97532 | − | 1.35878i | −0.369043 | − | 0.168536i | ||||
\(66\) | −3.09579 | − | 2.29116i | −0.381066 | − | 0.282022i | ||||
\(67\) | 2.64690 | − | 1.70106i | 0.323371 | − | 0.207818i | −0.368876 | − | 0.929479i | \(-0.620257\pi\) |
0.692247 | + | 0.721661i | \(0.256621\pi\) | |||||||
\(68\) | −0.647523 | + | 0.426221i | −0.0785237 | + | 0.0516869i | ||||
\(69\) | 10.6616 | + | 3.45842i | 1.28351 | + | 0.416345i | ||||
\(70\) | 1.56374 | − | 2.90141i | 0.186903 | − | 0.346785i | ||||
\(71\) | −2.76526 | − | 4.30282i | −0.328175 | − | 0.510651i | 0.637483 | − | 0.770464i | \(-0.279975\pi\) |
−0.965659 | + | 0.259813i | \(0.916339\pi\) | |||||||
\(72\) | −6.95366 | − | 0.382743i | −0.819497 | − | 0.0451067i | ||||
\(73\) | 3.24813 | − | 7.11242i | 0.380165 | − | 0.832445i | −0.618737 | − | 0.785598i | \(-0.712355\pi\) |
0.998902 | − | 0.0468472i | \(-0.0149174\pi\) | |||||||
\(74\) | 1.20217 | − | 5.67561i | 0.139750 | − | 0.659777i | ||||
\(75\) | 2.12594 | − | 0.970882i | 0.245482 | − | 0.112108i | ||||
\(76\) | 0.207992 | − | 0.738142i | 0.0238584 | − | 0.0846706i | ||||
\(77\) | 0.386491 | + | 2.68810i | 0.0440447 | + | 0.306338i | ||||
\(78\) | 7.60263 | − | 7.68627i | 0.860828 | − | 0.870299i | ||||
\(79\) | −1.95922 | + | 2.26107i | −0.220430 | + | 0.254390i | −0.855184 | − | 0.518325i | \(-0.826556\pi\) |
0.634754 | + | 0.772714i | \(0.281101\pi\) | |||||||
\(80\) | −2.23568 | − | 3.31689i | −0.249957 | − | 0.370839i | ||||
\(81\) | −8.68523 | − | 5.58166i | −0.965025 | − | 0.620184i | ||||
\(82\) | 12.8433 | − | 4.87053i | 1.41831 | − | 0.537860i | ||||
\(83\) | 15.9996 | + | 4.69791i | 1.75619 | + | 0.515663i | 0.991655 | − | 0.128923i | \(-0.0411520\pi\) |
0.764532 | + | 0.644586i | \(0.222970\pi\) | |||||||
\(84\) | 7.22365 | + | 8.15451i | 0.788164 | + | 0.889730i | ||||
\(85\) | 0.253827 | + | 0.292932i | 0.0275314 | + | 0.0317730i | ||||
\(86\) | 0.762667 | − | 11.5513i | 0.0822405 | − | 1.24561i | ||||
\(87\) | −3.97378 | − | 13.5335i | −0.426034 | − | 1.45094i | ||||
\(88\) | 3.10652 | + | 1.10094i | 0.331156 | + | 0.117360i | ||||
\(89\) | 5.65114 | + | 0.812511i | 0.599020 | + | 0.0861260i | 0.435153 | − | 0.900356i | \(-0.356694\pi\) |
0.163867 | + | 0.986483i | \(0.447603\pi\) | |||||||
\(90\) | 0.267408 | + | 3.47181i | 0.0281873 | + | 0.365961i | ||||
\(91\) | −7.62320 | −0.799129 | ||||||||
\(92\) | −9.59026 | − | 0.164295i | −0.999853 | − | 0.0171290i | ||||
\(93\) | 9.99949 | 1.03690 | ||||||||
\(94\) | −0.370449 | − | 4.80961i | −0.0382089 | − | 0.496073i | ||||
\(95\) | −0.379540 | − | 0.0545696i | −0.0389400 | − | 0.00559872i | ||||
\(96\) | 12.8370 | − | 3.16260i | 1.31017 | − | 0.322781i | ||||
\(97\) | 1.01277 | + | 3.44917i | 0.102831 | + | 0.350211i | 0.994795 | − | 0.101896i | \(-0.0324909\pi\) |
−0.891964 | + | 0.452107i | \(0.850673\pi\) | |||||||
\(98\) | −0.146115 | + | 2.21305i | −0.0147599 | + | 0.223552i | ||||
\(99\) | −1.87886 | − | 2.16832i | −0.188833 | − | 0.217924i | ||||
\(100\) | −1.49708 | + | 1.32618i | −0.149708 | + | 0.132618i | ||||
\(101\) | −17.6550 | − | 5.18397i | −1.75674 | − | 0.515825i | −0.764992 | − | 0.644040i | \(-0.777257\pi\) |
−0.991746 | + | 0.128216i | \(0.959075\pi\) | |||||||
\(102\) | −1.19787 | + | 0.454265i | −0.118607 | + | 0.0449789i | ||||
\(103\) | 6.99511 | + | 4.49549i | 0.689249 | + | 0.442953i | 0.837819 | − | 0.545949i | \(-0.183831\pi\) |
−0.148570 | + | 0.988902i | \(0.547467\pi\) | |||||||
\(104\) | −4.29992 | + | 8.19155i | −0.421642 | + | 0.803247i | ||||
\(105\) | 3.56699 | − | 4.11653i | 0.348103 | − | 0.401732i | ||||
\(106\) | 12.8788 | − | 13.0205i | 1.25090 | − | 1.26467i | ||||
\(107\) | −1.28541 | − | 8.94025i | −0.124266 | − | 0.864287i | −0.952638 | − | 0.304108i | \(-0.901642\pi\) |
0.828372 | − | 0.560179i | \(-0.189268\pi\) | |||||||
\(108\) | 2.41955 | + | 0.681776i | 0.232821 | + | 0.0656039i | ||||
\(109\) | 12.7381 | − | 5.81728i | 1.22008 | − | 0.557194i | 0.301897 | − | 0.953340i | \(-0.402380\pi\) |
0.918187 | + | 0.396146i | \(0.129653\pi\) | |||||||
\(110\) | 0.341475 | − | 1.61215i | 0.0325583 | − | 0.153712i | ||||
\(111\) | 3.98285 | − | 8.72123i | 0.378036 | − | 0.827783i | ||||
\(112\) | −7.95094 | − | 4.86726i | −0.751293 | − | 0.459913i | ||||
\(113\) | −6.11228 | − | 9.51090i | −0.574995 | − | 0.894710i | 0.424950 | − | 0.905217i | \(-0.360292\pi\) |
−0.999945 | + | 0.0105070i | \(0.996655\pi\) | |||||||
\(114\) | 0.601286 | − | 1.11564i | 0.0563156 | − | 0.104489i | ||||
\(115\) | 0.549008 | + | 4.76430i | 0.0511953 | + | 0.444274i | ||||
\(116\) | 6.63633 | + | 10.0820i | 0.616168 | + | 0.936094i | ||||
\(117\) | 6.77518 | − | 4.35414i | 0.626366 | − | 0.402541i | ||||
\(118\) | −7.51569 | − | 5.56228i | −0.691876 | − | 0.512049i | ||||
\(119\) | 0.821721 | + | 0.375267i | 0.0753270 | + | 0.0344007i | ||||
\(120\) | −2.41145 | − | 6.15489i | −0.220134 | − | 0.561862i | ||||
\(121\) | −4.00551 | − | 8.77084i | −0.364137 | − | 0.797349i | ||||
\(122\) | 2.43058 | − | 0.542685i | 0.220055 | − | 0.0491324i | ||||
\(123\) | 22.4689 | − | 3.23054i | 2.02595 | − | 0.291288i | ||||
\(124\) | −8.18355 | + | 2.50049i | −0.734904 | + | 0.224551i | ||||
\(125\) | 0.755750 | + | 0.654861i | 0.0675963 | + | 0.0585725i | ||||
\(126\) | 3.92821 | + | 7.10133i | 0.349952 | + | 0.632636i | ||||
\(127\) | −3.81053 | + | 5.92929i | −0.338129 | + | 0.526140i | −0.968128 | − | 0.250457i | \(-0.919419\pi\) |
0.629998 | + | 0.776597i | \(0.283056\pi\) | |||||||
\(128\) | −9.71492 | + | 5.79830i | −0.858686 | + | 0.512503i | ||||
\(129\) | 5.38991 | − | 18.3563i | 0.474555 | − | 1.61619i | ||||
\(130\) | 4.34289 | + | 1.59280i | 0.380896 | + | 0.139698i | ||||
\(131\) | −15.0752 | + | 13.0627i | −1.31712 | + | 1.14129i | −0.337308 | + | 0.941394i | \(0.609516\pi\) |
−0.979816 | + | 0.199900i | \(0.935938\pi\) | |||||||
\(132\) | 4.61401 | + | 2.89440i | 0.401598 | + | 0.251925i | ||||
\(133\) | −0.857455 | + | 0.251772i | −0.0743508 | + | 0.0218314i | ||||
\(134\) | −3.54749 | + | 2.68603i | −0.306456 | + | 0.232037i | ||||
\(135\) | 0.178873 | − | 1.24409i | 0.0153949 | − | 0.107074i | ||||
\(136\) | 0.866742 | − | 0.671312i | 0.0743225 | − | 0.0575645i | ||||
\(137\) | 16.0504i | 1.37128i | 0.727941 | + | 0.685640i | \(0.240477\pi\) | ||||
−0.727941 | + | 0.685640i | \(0.759523\pi\) | |||||||
\(138\) | −15.4089 | − | 3.71860i | −1.31169 | − | 0.316548i | ||||
\(139\) | 8.23204i | 0.698233i | 0.937079 | + | 0.349116i | \(0.113518\pi\) | ||||
−0.937079 | + | 0.349116i | \(0.886482\pi\) | |||||||
\(140\) | −1.88983 | + | 4.26092i | −0.159720 | + | 0.360114i | ||||
\(141\) | 1.13452 | − | 7.89079i | 0.0955442 | − | 0.664524i | ||||
\(142\) | 4.36642 | + | 5.76682i | 0.366422 | + | 0.483941i | ||||
\(143\) | −3.65705 | + | 1.07381i | −0.305818 | + | 0.0897961i | ||||
\(144\) | 9.84649 | − | 0.215520i | 0.820541 | − | 0.0179600i | ||||
\(145\) | 4.56101 | − | 3.95213i | 0.378771 | − | 0.328207i | ||||
\(146\) | −3.80754 | + | 10.3815i | −0.315115 | + | 0.859182i | ||||
\(147\) | −1.03262 | + | 3.51679i | −0.0851694 | + | 0.290060i | ||||
\(148\) | −1.07871 | + | 8.13339i | −0.0886691 | + | 0.668560i | ||||
\(149\) | −5.32797 | + | 8.29048i | −0.436484 | + | 0.679183i | −0.987908 | − | 0.155043i | \(-0.950449\pi\) |
0.551423 | + | 0.834226i | \(0.314085\pi\) | |||||||
\(150\) | −2.89221 | + | 1.59987i | −0.236148 | + | 0.130629i | ||||
\(151\) | 1.88446 | + | 1.63289i | 0.153355 | + | 0.132883i | 0.728159 | − | 0.685408i | \(-0.240376\pi\) |
−0.574804 | + | 0.818291i | \(0.694922\pi\) | |||||||
\(152\) | −0.213111 | + | 1.06340i | −0.0172856 | + | 0.0862528i | ||||
\(153\) | −0.944652 | + | 0.135820i | −0.0763706 | + | 0.0109804i | ||||
\(154\) | −0.836908 | − | 3.74835i | −0.0674400 | − | 0.302051i | ||||
\(155\) | 1.77736 | + | 3.89188i | 0.142761 | + | 0.312603i | ||||
\(156\) | −9.88522 | + | 11.6636i | −0.791451 | + | 0.933836i | ||||
\(157\) | −7.78167 | − | 3.55377i | −0.621045 | − | 0.283622i | 0.0799380 | − | 0.996800i | \(-0.474528\pi\) |
−0.700983 | + | 0.713178i | \(0.747255\pi\) | |||||||
\(158\) | 2.51702 | − | 3.40097i | 0.200243 | − | 0.270566i | ||||
\(159\) | 25.4611 | − | 16.3629i | 2.01920 | − | 1.29766i | ||||
\(160\) | 3.51262 | + | 4.43413i | 0.277697 | + | 0.350548i | ||||
\(161\) | 5.77655 | + | 9.56877i | 0.455256 | + | 0.754124i | ||||
\(162\) | 12.8527 | + | 6.92708i | 1.00980 | + | 0.544243i | ||||
\(163\) | −2.08484 | − | 3.24408i | −0.163298 | − | 0.254096i | 0.749956 | − | 0.661488i | \(-0.230075\pi\) |
−0.913253 | + | 0.407392i | \(0.866438\pi\) | |||||||
\(164\) | −17.5806 | + | 8.26248i | −1.37282 | + | 0.645191i | ||||
\(165\) | 1.13132 | − | 2.47725i | 0.0880734 | − | 0.192854i | ||||
\(166\) | −23.0703 | − | 4.88659i | −1.79060 | − | 0.379273i | ||||
\(167\) | 5.26298 | − | 2.40352i | 0.407262 | − | 0.185990i | −0.201241 | − | 0.979542i | \(-0.564498\pi\) |
0.608503 | + | 0.793552i | \(0.291770\pi\) | |||||||
\(168\) | −11.0712 | − | 10.7136i | −0.854164 | − | 0.826575i | ||||
\(169\) | 0.327489 | + | 2.27773i | 0.0251914 | + | 0.175210i | ||||
\(170\) | −0.389720 | − | 0.385479i | −0.0298902 | − | 0.0295649i | ||||
\(171\) | 0.618266 | − | 0.713517i | 0.0472800 | − | 0.0545640i | ||||
\(172\) | 0.179138 | + | 16.3706i | 0.0136591 | + | 1.24824i | ||||
\(173\) | 0.620493 | + | 0.398766i | 0.0471752 | + | 0.0303176i | 0.564016 | − | 0.825764i | \(-0.309256\pi\) |
−0.516841 | + | 0.856082i | \(0.672892\pi\) | |||||||
\(174\) | 7.07298 | + | 18.6511i | 0.536201 | + | 1.41394i | ||||
\(175\) | 2.23620 | + | 0.656608i | 0.169041 | + | 0.0496349i | ||||
\(176\) | −4.49987 | − | 1.21498i | −0.339191 | − | 0.0915826i | ||||
\(177\) | −10.1189 | − | 11.6779i | −0.760586 | − | 0.877763i | ||||
\(178\) | −8.05656 | − | 0.531930i | −0.603865 | − | 0.0398698i | ||||
\(179\) | −2.98236 | − | 10.1570i | −0.222912 | − | 0.759169i | −0.992672 | − | 0.120836i | \(-0.961442\pi\) |
0.769760 | − | 0.638333i | \(-0.220376\pi\) | |||||||
\(180\) | −0.754112 | − | 4.86634i | −0.0562082 | − | 0.362716i | ||||
\(181\) | 9.74390 | + | 1.40096i | 0.724259 | + | 0.104133i | 0.494578 | − | 0.869133i | \(-0.335323\pi\) |
0.229681 | + | 0.973266i | \(0.426232\pi\) | |||||||
\(182\) | 10.7490 | − | 0.827917i | 0.796769 | − | 0.0613693i | ||||
\(183\) | 4.11570 | 0.304241 | ||||||||
\(184\) | 13.5405 | − | 0.809887i | 0.998216 | − | 0.0597056i | ||||
\(185\) | 4.10230 | 0.301607 | ||||||||
\(186\) | −14.0997 | + | 1.08599i | −1.03384 | + | 0.0796289i | ||||
\(187\) | 0.447061 | + | 0.0642776i | 0.0326923 | + | 0.00470045i | ||||
\(188\) | 1.04469 | + | 6.74150i | 0.0761922 | + | 0.491674i | ||||
\(189\) | −0.825279 | − | 2.81064i | −0.0600302 | − | 0.204444i | ||||
\(190\) | 0.541092 | + | 0.0357253i | 0.0392549 | + | 0.00259178i | ||||
\(191\) | −15.4971 | − | 17.8846i | −1.12133 | − | 1.29408i | −0.951170 | − | 0.308668i | \(-0.900117\pi\) |
−0.170161 | − | 0.985416i | \(-0.554429\pi\) | |||||||
\(192\) | −17.7572 | + | 5.85354i | −1.28151 | + | 0.422443i | ||||
\(193\) | −18.5859 | − | 5.45733i | −1.33785 | − | 0.392827i | −0.466945 | − | 0.884286i | \(-0.654645\pi\) |
−0.870900 | + | 0.491459i | \(0.836464\pi\) | |||||||
\(194\) | −1.80264 | − | 4.75347i | −0.129422 | − | 0.341279i | ||||
\(195\) | 6.43102 | + | 4.13296i | 0.460535 | + | 0.295968i | ||||
\(196\) | −0.0343201 | − | 3.13635i | −0.00245143 | − | 0.224025i | ||||
\(197\) | 9.83021 | − | 11.3447i | 0.700373 | − | 0.808274i | −0.288430 | − | 0.957501i | \(-0.593133\pi\) |
0.988803 | + | 0.149227i | \(0.0476786\pi\) | |||||||
\(198\) | 2.88475 | + | 2.85336i | 0.205011 | + | 0.202779i | ||||
\(199\) | −1.12138 | − | 7.79939i | −0.0794927 | − | 0.552884i | −0.990181 | − | 0.139790i | \(-0.955357\pi\) |
0.910688 | − | 0.413094i | \(-0.135552\pi\) | |||||||
\(200\) | 1.96691 | − | 2.03256i | 0.139081 | − | 0.143723i | ||||
\(201\) | −6.68900 | + | 3.05476i | −0.471806 | + | 0.215466i | ||||
\(202\) | 25.4572 | + | 5.39218i | 1.79116 | + | 0.379392i | ||||
\(203\) | 5.84297 | − | 12.7943i | 0.410096 | − | 0.897986i | ||||
\(204\) | 1.63971 | − | 0.770626i | 0.114803 | − | 0.0539546i | ||||
\(205\) | 5.25109 | + | 8.17085i | 0.366752 | + | 0.570677i | ||||
\(206\) | −10.3516 | − | 5.57910i | −0.721230 | − | 0.388714i | ||||
\(207\) | −10.5993 | − | 5.20493i | −0.736705 | − | 0.361767i | ||||
\(208\) | 5.17340 | − | 12.0174i | 0.358711 | − | 0.833255i | ||||
\(209\) | −0.375879 | + | 0.241563i | −0.0260001 | + | 0.0167092i | ||||
\(210\) | −4.58252 | + | 6.19185i | −0.316224 | + | 0.427279i | ||||
\(211\) | −4.93339 | − | 2.25300i | −0.339629 | − | 0.155103i | 0.238298 | − | 0.971192i | \(-0.423411\pi\) |
−0.577926 | + | 0.816089i | \(0.696138\pi\) | |||||||
\(212\) | −16.7456 | + | 19.7582i | −1.15009 | + | 1.35700i | ||||
\(213\) | 4.96584 | + | 10.8737i | 0.340254 | + | 0.745052i | ||||
\(214\) | 2.78344 | + | 12.4665i | 0.190272 | + | 0.852191i | ||||
\(215\) | 8.10246 | − | 1.16496i | 0.552583 | − | 0.0794495i | ||||
\(216\) | −3.48569 | − | 0.698555i | −0.237171 | − | 0.0475306i | ||||
\(217\) | 7.53599 | + | 6.52998i | 0.511577 | + | 0.443284i | ||||
\(218\) | −17.3294 | + | 9.58599i | −1.17369 | + | 0.649245i | ||||
\(219\) | −9.87972 | + | 15.3731i | −0.667609 | + | 1.03882i | ||||
\(220\) | −0.306405 | + | 2.31028i | −0.0206578 | + | 0.155759i | ||||
\(221\) | −0.357186 | + | 1.21647i | −0.0240270 | + | 0.0818283i | ||||
\(222\) | −4.66880 | + | 12.7298i | −0.313350 | + | 0.854370i | ||||
\(223\) | −16.6193 | + | 14.4007i | −1.11291 | + | 0.964342i | −0.999573 | − | 0.0292142i | \(-0.990700\pi\) |
−0.113337 | + | 0.993557i | \(0.536154\pi\) | |||||||
\(224\) | 11.7397 | + | 5.99951i | 0.784394 | + | 0.400859i | ||||
\(225\) | −2.36248 | + | 0.693685i | −0.157498 | + | 0.0462457i | ||||
\(226\) | 9.65148 | + | 12.7469i | 0.642007 | + | 0.847911i | ||||
\(227\) | −0.0567767 | + | 0.394891i | −0.00376840 | + | 0.0262098i | −0.991619 | − | 0.129197i | \(-0.958760\pi\) |
0.987850 | + | 0.155407i | \(0.0496690\pi\) | |||||||
\(228\) | −0.726672 | + | 1.63840i | −0.0481250 | + | 0.108506i | ||||
\(229\) | 17.2603i | 1.14059i | 0.821439 | + | 0.570296i | \(0.193172\pi\) | ||||
−0.821439 | + | 0.570296i | \(0.806828\pi\) | |||||||
\(230\) | −1.29155 | − | 6.65822i | −0.0851622 | − | 0.439030i | ||||
\(231\) | − | 6.34707i | − | 0.417607i | ||||||
\(232\) | −10.4524 | − | 13.4953i | −0.686236 | − | 0.886011i | ||||
\(233\) | 1.45897 | − | 10.1474i | 0.0955806 | − | 0.664778i | −0.884553 | − | 0.466440i | \(-0.845537\pi\) |
0.980134 | − | 0.198338i | \(-0.0635544\pi\) | |||||||
\(234\) | −9.08038 | + | 6.87532i | −0.593603 | + | 0.449454i | ||||
\(235\) | 3.27281 | − | 0.960985i | 0.213495 | − | 0.0626877i | ||||
\(236\) | 11.2015 | + | 7.02678i | 0.729155 | + | 0.457404i | ||||
\(237\) | 5.28442 | − | 4.57898i | 0.343260 | − | 0.297436i | ||||
\(238\) | −1.19941 | − | 0.439898i | −0.0777464 | − | 0.0285143i | ||||
\(239\) | −1.17586 | + | 4.00460i | −0.0760598 | + | 0.259036i | −0.988741 | − | 0.149636i | \(-0.952190\pi\) |
0.912681 | + | 0.408672i | \(0.134008\pi\) | |||||||
\(240\) | 4.06868 | + | 8.41672i | 0.262632 | + | 0.543297i | ||||
\(241\) | −9.60731 | + | 14.9493i | −0.618861 | + | 0.962967i | 0.380411 | + | 0.924818i | \(0.375783\pi\) |
−0.999272 | + | 0.0381490i | \(0.987854\pi\) | |||||||
\(242\) | 6.60047 | + | 11.9322i | 0.424294 | + | 0.767030i | ||||
\(243\) | 15.3858 | + | 13.3319i | 0.986998 | + | 0.855239i | ||||
\(244\) | −3.36827 | + | 1.02918i | −0.215632 | + | 0.0658864i | ||||
\(245\) | −1.55231 | + | 0.223188i | −0.0991733 | + | 0.0142590i | ||||
\(246\) | −31.3311 | + | 6.99541i | −1.99760 | + | 0.446011i | ||||
\(247\) | −0.521016 | − | 1.14087i | −0.0331515 | − | 0.0725916i | ||||
\(248\) | 11.2675 | − | 4.41456i | 0.715490 | − | 0.280325i | ||||
\(249\) | −35.4501 | − | 16.1895i | −2.24656 | − | 1.02597i | ||||
\(250\) | −1.13676 | − | 0.841300i | −0.0718948 | − | 0.0532085i | ||||
\(251\) | 22.6628 | − | 14.5645i | 1.43046 | − | 0.919302i | 0.430602 | − | 0.902542i | \(-0.358301\pi\) |
0.999860 | − | 0.0167603i | \(-0.00533523\pi\) | |||||||
\(252\) | −6.31015 | − | 9.58651i | −0.397502 | − | 0.603893i | ||||
\(253\) | 4.11902 | + | 3.77670i | 0.258960 | + | 0.237439i | ||||
\(254\) | 4.72903 | − | 8.77437i | 0.296726 | − | 0.550553i | ||||
\(255\) | −0.489759 | − | 0.762080i | −0.0306699 | − | 0.0477233i | ||||
\(256\) | 13.0687 | − | 9.23091i | 0.816792 | − | 0.576932i | ||||
\(257\) | −5.61995 | + | 12.3060i | −0.350563 | + | 0.767626i | 0.649411 | + | 0.760437i | \(0.275015\pi\) |
−0.999974 | + | 0.00718839i | \(0.997712\pi\) | |||||||
\(258\) | −5.60638 | + | 26.4685i | −0.349038 | + | 1.64786i | ||||
\(259\) | 8.69686 | − | 3.97173i | 0.540397 | − | 0.246791i | ||||
\(260\) | −6.29662 | − | 1.77425i | −0.390500 | − | 0.110034i | ||||
\(261\) | 2.11475 | + | 14.7084i | 0.130900 | + | 0.910426i | ||||
\(262\) | 19.8379 | − | 20.0561i | 1.22559 | − | 1.23907i | ||||
\(263\) | 2.66991 | − | 3.08124i | 0.164634 | − | 0.189997i | −0.667438 | − | 0.744665i | \(-0.732609\pi\) |
0.832072 | + | 0.554668i | \(0.187155\pi\) | |||||||
\(264\) | −6.82028 | − | 3.58011i | −0.419759 | − | 0.220341i | ||||
\(265\) | 10.8941 | + | 7.00124i | 0.669222 | + | 0.430083i | ||||
\(266\) | 1.18170 | − | 0.448131i | 0.0724547 | − | 0.0274767i | ||||
\(267\) | −12.8028 | − | 3.75924i | −0.783519 | − | 0.230062i | ||||
\(268\) | 4.71038 | − | 4.17267i | 0.287732 | − | 0.254887i | ||||
\(269\) | −4.66181 | − | 5.38002i | −0.284236 | − | 0.328026i | 0.595620 | − | 0.803266i | \(-0.296906\pi\) |
−0.879856 | + | 0.475241i | \(0.842361\pi\) | |||||||
\(270\) | −0.117103 | + | 1.77364i | −0.00712669 | + | 0.107940i | ||||
\(271\) | −7.01418 | − | 23.8881i | −0.426081 | − | 1.45110i | −0.840898 | − | 0.541194i | \(-0.817973\pi\) |
0.414817 | − | 0.909905i | \(-0.363846\pi\) | |||||||
\(272\) | −1.14923 | + | 1.04071i | −0.0696824 | + | 0.0631021i | ||||
\(273\) | 17.6351 | + | 2.53555i | 1.06733 | + | 0.153458i | ||||
\(274\) | −1.74315 | − | 22.6317i | −0.105308 | − | 1.36723i | ||||
\(275\) | 1.16525 | 0.0702674 | ||||||||
\(276\) | 22.1310 | + | 3.56988i | 1.33213 | + | 0.214882i | ||||
\(277\) | −26.5415 | −1.59473 | −0.797363 | − | 0.603500i | \(-0.793772\pi\) | ||||
−0.797363 | + | 0.603500i | \(0.793772\pi\) | |||||||
\(278\) | −0.894040 | − | 11.6075i | −0.0536210 | − | 0.696171i | ||||
\(279\) | −10.4274 | − | 1.49923i | −0.624272 | − | 0.0897568i | ||||
\(280\) | 2.20197 | − | 6.21331i | 0.131593 | − | 0.371316i | ||||
\(281\) | 2.70108 | + | 9.19904i | 0.161133 | + | 0.548769i | 0.999990 | + | 0.00441715i | \(0.00140603\pi\) |
−0.838857 | + | 0.544351i | \(0.816776\pi\) | |||||||
\(282\) | −0.742743 | + | 11.2495i | −0.0442297 | + | 0.669899i | ||||
\(283\) | −4.54176 | − | 5.24147i | −0.269980 | − | 0.311573i | 0.604529 | − | 0.796583i | \(-0.293361\pi\) |
−0.874509 | + | 0.485010i | \(0.838816\pi\) | |||||||
\(284\) | −6.78312 | − | 7.65721i | −0.402504 | − | 0.454372i | ||||
\(285\) | 0.859858 | + | 0.252477i | 0.0509336 | + | 0.0149555i | ||||
\(286\) | 5.03995 | − | 1.91128i | 0.298018 | − | 0.113016i | ||||
\(287\) | 19.0430 | + | 12.2382i | 1.12408 | + | 0.722400i | ||||
\(288\) | −13.8605 | + | 1.37327i | −0.816739 | + | 0.0809206i | ||||
\(289\) | −11.0342 | + | 12.7342i | −0.649073 | + | 0.749071i | ||||
\(290\) | −6.00197 | + | 6.06800i | −0.352448 | + | 0.356325i | ||||
\(291\) | −1.19566 | − | 8.31600i | −0.0700908 | − | 0.487493i | ||||
\(292\) | 4.24129 | − | 15.0519i | 0.248203 | − | 0.880844i | ||||
\(293\) | −12.2668 | + | 5.60207i | −0.716636 | + | 0.327276i | −0.740145 | − | 0.672447i | \(-0.765243\pi\) |
0.0235096 | + | 0.999724i | \(0.492516\pi\) | |||||||
\(294\) | 1.07410 | − | 5.07096i | 0.0626426 | − | 0.295744i | ||||
\(295\) | 2.74653 | − | 6.01406i | 0.159909 | − | 0.350152i | ||||
\(296\) | 0.637690 | − | 11.5855i | 0.0370650 | − | 0.673395i | ||||
\(297\) | −0.791815 | − | 1.23209i | −0.0459458 | − | 0.0714930i | ||||
\(298\) | 6.61225 | − | 12.2685i | 0.383037 | − | 0.710697i | ||||
\(299\) | −12.1389 | + | 9.93582i | −0.702011 | + | 0.574603i | ||||
\(300\) | 3.90436 | − | 2.56998i | 0.225419 | − | 0.148378i | ||||
\(301\) | 16.0493 | − | 10.3143i | 0.925066 | − | 0.594504i | ||||
\(302\) | −2.83450 | − | 2.09778i | −0.163107 | − | 0.120714i | ||||
\(303\) | 39.1179 | + | 17.8646i | 2.24727 | + | 1.02629i | ||||
\(304\) | 0.185005 | − | 1.52257i | 0.0106107 | − | 0.0873255i | ||||
\(305\) | 0.731545 | + | 1.60186i | 0.0418882 | + | 0.0917223i | ||||
\(306\) | 1.31724 | − | 0.294106i | 0.0753018 | − | 0.0168129i | ||||
\(307\) | 21.0151 | − | 3.02151i | 1.19939 | − | 0.172447i | 0.486475 | − | 0.873695i | \(-0.338282\pi\) |
0.712917 | + | 0.701248i | \(0.247373\pi\) | |||||||
\(308\) | 1.58716 | + | 5.19442i | 0.0904369 | + | 0.295980i | ||||
\(309\) | −14.6869 | − | 12.7263i | −0.835508 | − | 0.723972i | ||||
\(310\) | −2.92882 | − | 5.29466i | −0.166346 | − | 0.300717i | ||||
\(311\) | −6.29315 | + | 9.79233i | −0.356852 | + | 0.555272i | −0.972545 | − | 0.232714i | \(-0.925239\pi\) |
0.615694 | + | 0.787986i | \(0.288876\pi\) | |||||||
\(312\) | 12.6718 | − | 17.5197i | 0.717399 | − | 0.991858i | ||||
\(313\) | 2.81321 | − | 9.58092i | 0.159012 | − | 0.541545i | −0.840988 | − | 0.541054i | \(-0.818025\pi\) |
1.00000 | 0.000491338i | \(-0.000156398\pi\) | ||||||||
\(314\) | 11.3584 | + | 4.16582i | 0.640992 | + | 0.235091i | ||||
\(315\) | −4.33683 | + | 3.75789i | −0.244353 | + | 0.211733i | ||||
\(316\) | −3.17972 | + | 5.06885i | −0.178873 | + | 0.285145i | ||||
\(317\) | 31.1096 | − | 9.13462i | 1.74729 | − | 0.513051i | 0.757165 | − | 0.653224i | \(-0.226584\pi\) |
0.990127 | + | 0.140173i | \(0.0447657\pi\) | |||||||
\(318\) | −34.1240 | + | 25.8374i | −1.91358 | + | 1.44889i | ||||
\(319\) | 1.00081 | − | 6.96081i | 0.0560348 | − | 0.389730i | ||||
\(320\) | −5.43450 | − | 5.87079i | −0.303798 | − | 0.328187i | ||||
\(321\) | 21.1095i | 1.17822i | ||||||||
\(322\) | −9.18436 | − | 12.8650i | −0.511824 | − | 0.716936i | ||||
\(323\) | 0.148624i | 0.00826968i | ||||||||
\(324\) | −18.8751 | − | 8.37158i | −1.04862 | − | 0.465088i | ||||
\(325\) | −0.465499 | + | 3.23762i | −0.0258212 | + | 0.179591i | ||||
\(326\) | 3.29203 | + | 4.34785i | 0.182329 | + | 0.240805i | ||||
\(327\) | −31.4025 | + | 9.22059i | −1.73656 | + | 0.509900i | ||||
\(328\) | 23.8920 | − | 13.5597i | 1.31921 | − | 0.748711i | ||||
\(329\) | 6.00795 | − | 5.20592i | 0.331229 | − | 0.287012i | ||||
\(330\) | −1.32617 | + | 3.61588i | −0.0730030 | + | 0.199048i | ||||
\(331\) | −6.69629 | + | 22.8055i | −0.368061 | + | 1.25350i | 0.542475 | + | 0.840072i | \(0.317487\pi\) |
−0.910536 | + | 0.413429i | \(0.864331\pi\) | |||||||
\(332\) | 33.0607 | + | 4.38473i | 1.81444 | + | 0.240644i | ||||
\(333\) | −5.46088 | + | 8.49729i | −0.299254 | + | 0.465649i | ||||
\(334\) | −7.15996 | + | 3.96064i | −0.391776 | + | 0.216717i | ||||
\(335\) | −2.37788 | − | 2.06044i | −0.129917 | − | 0.112574i | ||||
\(336\) | 16.7744 | + | 13.9042i | 0.915119 | + | 0.758538i | ||||
\(337\) | −29.1865 | + | 4.19638i | −1.58989 | + | 0.228591i | −0.879738 | − | 0.475459i | \(-0.842282\pi\) |
−0.710150 | + | 0.704050i | \(0.751373\pi\) | |||||||
\(338\) | −0.709145 | − | 3.17612i | −0.0385724 | − | 0.172758i | ||||
\(339\) | 10.9764 | + | 24.0350i | 0.596158 | + | 1.30540i | ||||
\(340\) | 0.591384 | + | 0.501214i | 0.0320723 | + | 0.0271821i | ||||
\(341\) | 4.53502 | + | 2.07108i | 0.245585 | + | 0.112155i | ||||
\(342\) | −0.794286 | + | 1.07323i | −0.0429501 | + | 0.0580337i | ||||
\(343\) | −16.7992 | + | 10.7962i | −0.907073 | + | 0.582940i | ||||
\(344\) | −2.03052 | − | 23.0637i | −0.109478 | − | 1.24351i | ||||
\(345\) | 0.314605 | − | 11.2041i | 0.0169377 | − | 0.603209i | ||||
\(346\) | −0.918226 | − | 0.494887i | −0.0493641 | − | 0.0266053i | ||||
\(347\) | 2.52823 | + | 3.93400i | 0.135722 | + | 0.211188i | 0.902461 | − | 0.430771i | \(-0.141758\pi\) |
−0.766739 | + | 0.641959i | \(0.778122\pi\) | |||||||
\(348\) | −11.9988 | − | 25.5306i | −0.643201 | − | 1.36858i | ||||
\(349\) | −9.38825 | + | 20.5574i | −0.502542 | + | 1.10041i | 0.473093 | + | 0.881012i | \(0.343137\pi\) |
−0.975635 | + | 0.219400i | \(0.929590\pi\) | |||||||
\(350\) | −3.22444 | − | 0.682979i | −0.172353 | − | 0.0365068i | ||||
\(351\) | 3.73963 | − | 1.70783i | 0.199607 | − | 0.0911574i | ||||
\(352\) | 6.47694 | + | 1.22446i | 0.345222 | + | 0.0652639i | ||||
\(353\) | −3.90741 | − | 27.1767i | −0.207971 | − | 1.44647i | −0.779766 | − | 0.626071i | \(-0.784662\pi\) |
0.571795 | − | 0.820396i | \(-0.306247\pi\) | |||||||
\(354\) | 15.5364 | + | 15.3673i | 0.825748 | + | 0.816762i | ||||
\(355\) | −3.34946 | + | 3.86549i | −0.177771 | + | 0.205159i | ||||
\(356\) | 11.4178 | − | 0.124942i | 0.605143 | − | 0.00662189i | ||||
\(357\) | −1.77611 | − | 1.14144i | −0.0940017 | − | 0.0604112i | ||||
\(358\) | 5.30834 | + | 13.9978i | 0.280555 | + | 0.739809i | ||||
\(359\) | −30.2497 | − | 8.88210i | −1.59652 | − | 0.468779i | −0.641942 | − | 0.766754i | \(-0.721871\pi\) |
−0.954574 | + | 0.297974i | \(0.903689\pi\) | |||||||
\(360\) | 1.59183 | + | 6.77982i | 0.0838970 | + | 0.357328i | ||||
\(361\) | 12.3461 | + | 14.2481i | 0.649793 | + | 0.749901i | ||||
\(362\) | −13.8914 | − | 0.917173i | −0.730117 | − | 0.0482055i | ||||
\(363\) | 6.34888 | + | 21.6223i | 0.333230 | + | 1.13488i | ||||
\(364\) | −15.0666 | + | 2.33479i | −0.789703 | + | 0.122376i | ||||
\(365\) | −7.73942 | − | 1.11276i | −0.405100 | − | 0.0582445i | ||||
\(366\) | −5.80329 | + | 0.446985i | −0.303343 | + | 0.0233643i | ||||
\(367\) | −10.5785 | −0.552195 | −0.276097 | − | 0.961130i | \(-0.589041\pi\) | ||||
−0.276097 | + | 0.961130i | \(0.589041\pi\) | |||||||
\(368\) | −19.0046 | + | 2.61253i | −0.990683 | + | 0.136188i | ||||
\(369\) | −23.9148 | −1.24495 | ||||||||
\(370\) | −5.78440 | + | 0.445530i | −0.300717 | + | 0.0231620i | ||||
\(371\) | 29.8739 | + | 4.29522i | 1.55098 | + | 0.222997i | ||||
\(372\) | 19.7631 | − | 3.06258i | 1.02467 | − | 0.158788i | ||||
\(373\) | −1.66543 | − | 5.67194i | −0.0862327 | − | 0.293682i | 0.905074 | − | 0.425255i | \(-0.139815\pi\) |
−0.991306 | + | 0.131573i | \(0.957997\pi\) | |||||||
\(374\) | −0.637353 | − | 0.0420809i | −0.0329567 | − | 0.00217595i | ||||
\(375\) | −1.53050 | − | 1.76629i | −0.0790347 | − | 0.0912109i | ||||
\(376\) | −2.20522 | − | 9.39230i | −0.113725 | − | 0.484371i | ||||
\(377\) | 18.9406 | + | 5.56145i | 0.975489 | + | 0.286429i | ||||
\(378\) | 1.46892 | + | 3.87348i | 0.0755533 | + | 0.199230i | ||||
\(379\) | −2.85912 | − | 1.83744i | −0.146863 | − | 0.0943831i | 0.465146 | − | 0.885234i | \(-0.346002\pi\) |
−0.612009 | + | 0.790851i | \(0.709638\pi\) | |||||||
\(380\) | −0.766840 | + | 0.00839128i | −0.0393381 | + | 0.000430464i | ||||
\(381\) | 10.7872 | − | 12.4491i | 0.552646 | − | 0.637787i | ||||
\(382\) | 23.7938 | + | 23.5349i | 1.21740 | + | 1.20415i | ||||
\(383\) | −3.39459 | − | 23.6099i | −0.173455 | − | 1.20641i | −0.871515 | − | 0.490369i | \(-0.836862\pi\) |
0.698060 | − | 0.716039i | \(-0.254047\pi\) | |||||||
\(384\) | 24.4026 | − | 10.1822i | 1.24529 | − | 0.519610i | ||||
\(385\) | 2.47033 | − | 1.12816i | 0.125900 | − | 0.0574965i | ||||
\(386\) | 26.7996 | + | 5.67651i | 1.36406 | + | 0.288927i | ||||
\(387\) | −8.37274 | + | 18.3337i | −0.425610 | + | 0.931957i | ||||
\(388\) | 3.05804 | + | 6.50680i | 0.155248 | + | 0.330333i | ||||
\(389\) | −19.0779 | − | 29.6857i | −0.967286 | − | 1.50513i | −0.859616 | − | 0.510940i | \(-0.829297\pi\) |
−0.107670 | − | 0.994187i | \(-0.534339\pi\) | |||||||
\(390\) | −9.51683 | − | 5.12919i | −0.481904 | − | 0.259727i | ||||
\(391\) | 1.79759 | − | 0.473441i | 0.0909079 | − | 0.0239429i | ||||
\(392\) | 0.389016 | + | 4.41865i | 0.0196483 | + | 0.223175i | ||||
\(393\) | 39.2189 | − | 25.2045i | 1.97833 | − | 1.27140i | ||||
\(394\) | −12.6289 | + | 17.0640i | −0.636233 | + | 0.859672i | ||||
\(395\) | 2.72145 | + | 1.24285i | 0.136931 | + | 0.0625344i | ||||
\(396\) | −4.37750 | − | 3.71005i | −0.219978 | − | 0.186437i | ||||
\(397\) | −7.04702 | − | 15.4308i | −0.353680 | − | 0.774451i | −0.999936 | − | 0.0113303i | \(-0.996393\pi\) |
0.646256 | − | 0.763121i | \(-0.276334\pi\) | |||||||
\(398\) | 2.42824 | + | 10.8756i | 0.121717 | + | 0.545147i | ||||
\(399\) | 2.06734 | − | 0.297238i | 0.103496 | − | 0.0148805i | ||||
\(400\) | −2.55266 | + | 3.07959i | −0.127633 | + | 0.153980i | ||||
\(401\) | 15.1876 | + | 13.1601i | 0.758433 | + | 0.657186i | 0.945670 | − | 0.325129i | \(-0.105408\pi\) |
−0.187236 | + | 0.982315i | \(0.559953\pi\) | |||||||
\(402\) | 9.09998 | − | 5.03379i | 0.453866 | − | 0.251063i | ||||
\(403\) | −7.56608 | + | 11.7730i | −0.376893 | + | 0.586457i | ||||
\(404\) | −36.4812 | − | 4.83839i | −1.81501 | − | 0.240719i | ||||
\(405\) | −2.90865 | + | 9.90595i | −0.144532 | + | 0.492230i | ||||
\(406\) | −6.84928 | + | 18.6751i | −0.339924 | + | 0.926827i | ||||
\(407\) | 3.61265 | − | 3.13038i | 0.179072 | − | 0.155167i | ||||
\(408\) | −2.22836 | + | 1.26469i | −0.110320 | + | 0.0626116i | ||||
\(409\) | 7.28997 | − | 2.14053i | 0.360466 | − | 0.105842i | −0.0964845 | − | 0.995334i | \(-0.530760\pi\) |
0.456950 | + | 0.889492i | \(0.348942\pi\) | |||||||
\(410\) | −8.29163 | − | 10.9509i | −0.409494 | − | 0.540827i | ||||
\(411\) | 5.33852 | − | 37.1302i | 0.263330 | − | 1.83150i | ||||
\(412\) | 15.2021 | + | 6.74250i | 0.748952 | + | 0.332179i | ||||
\(413\) | − | 15.4089i | − | 0.758221i | ||||||
\(414\) | 15.5107 | + | 6.18800i | 0.762312 | + | 0.304124i | ||||
\(415\) | − | 16.6751i | − | 0.818547i | ||||||
\(416\) | −5.98955 | + | 17.5068i | −0.293662 | + | 0.858342i | ||||
\(417\) | 2.73805 | − | 19.0436i | 0.134083 | − | 0.932568i | ||||
\(418\) | 0.503768 | − | 0.381435i | 0.0246401 | − | 0.0186566i | ||||
\(419\) | 6.02101 | − | 1.76793i | 0.294145 | − | 0.0863689i | −0.131330 | − | 0.991339i | \(-0.541925\pi\) |
0.425476 | + | 0.904970i | \(0.360107\pi\) | |||||||
\(420\) | 5.78906 | − | 9.22843i | 0.282477 | − | 0.450301i | ||||
\(421\) | 16.4970 | − | 14.2947i | 0.804014 | − | 0.696682i | −0.152521 | − | 0.988300i | \(-0.548739\pi\) |
0.956535 | + | 0.291618i | \(0.0941937\pi\) | |||||||
\(422\) | 7.20095 | + | 2.64103i | 0.350537 | + | 0.128563i | ||||
\(423\) | −2.36615 | + | 8.05836i | −0.115046 | + | 0.391811i | ||||
\(424\) | 21.4660 | − | 29.6784i | 1.04248 | − | 1.44131i | ||||
\(425\) | 0.209555 | − | 0.326074i | 0.0101649 | − | 0.0158169i | ||||
\(426\) | −8.18296 | − | 14.7930i | −0.396466 | − | 0.716722i | ||||
\(427\) | 3.10174 | + | 2.68768i | 0.150104 | + | 0.130066i | ||||
\(428\) | −5.27867 | − | 17.2759i | −0.255154 | − | 0.835063i | ||||
\(429\) | 8.81718 | − | 1.26772i | 0.425697 | − | 0.0612061i | ||||
\(430\) | −11.2982 | + | 2.52260i | −0.544850 | + | 0.121651i | ||||
\(431\) | −3.44342 | − | 7.54003i | −0.165864 | − | 0.363190i | 0.808389 | − | 0.588648i | \(-0.200340\pi\) |
−0.974253 | + | 0.225458i | \(0.927612\pi\) | |||||||
\(432\) | 4.99082 | + | 0.606425i | 0.240121 | + | 0.0291766i | ||||
\(433\) | 30.1699 | + | 13.7782i | 1.44987 | + | 0.662136i | 0.975863 | − | 0.218383i | \(-0.0700781\pi\) |
0.474012 | + | 0.880519i | \(0.342805\pi\) | |||||||
\(434\) | −11.3352 | − | 8.38906i | −0.544108 | − | 0.402688i | ||||
\(435\) | −11.8657 | + | 7.62563i | −0.568917 | + | 0.365621i | ||||
\(436\) | 23.3939 | − | 15.3987i | 1.12037 | − | 0.737462i | ||||
\(437\) | −1.03723 | + | 1.51849i | −0.0496174 | + | 0.0726392i | ||||
\(438\) | 12.2612 | − | 22.7497i | 0.585861 | − | 1.08702i | ||||
\(439\) | −11.3235 | − | 17.6197i | −0.540441 | − | 0.840943i | 0.458416 | − | 0.888738i | \(-0.348417\pi\) |
−0.998857 | + | 0.0477948i | \(0.984781\pi\) | |||||||
\(440\) | 0.181135 | − | 3.29085i | 0.00863527 | − | 0.156885i | ||||
\(441\) | 1.60409 | − | 3.51247i | 0.0763852 | − | 0.167260i | ||||
\(442\) | 0.371532 | − | 1.75405i | 0.0176720 | − | 0.0834318i | ||||
\(443\) | −24.7136 | + | 11.2863i | −1.17418 | + | 0.536229i | −0.904397 | − | 0.426693i | \(-0.859678\pi\) |
−0.269781 | + | 0.962922i | \(0.586951\pi\) | |||||||
\(444\) | 5.20067 | − | 18.4566i | 0.246813 | − | 0.875910i | ||||
\(445\) | −0.812511 | − | 5.65114i | −0.0385167 | − | 0.267890i | ||||
\(446\) | 21.8698 | − | 22.1105i | 1.03557 | − | 1.04696i | ||||
\(447\) | 15.0829 | − | 17.4066i | 0.713399 | − | 0.823306i | ||||
\(448\) | −17.2050 | − | 7.18454i | −0.812861 | − | 0.339438i | ||||
\(449\) | 28.5061 | + | 18.3197i | 1.34528 | + | 0.864562i | 0.997336 | − | 0.0729512i | \(-0.0232417\pi\) |
0.347949 | + | 0.937513i | \(0.386878\pi\) | |||||||
\(450\) | 3.25584 | − | 1.23470i | 0.153482 | − | 0.0582043i | ||||
\(451\) | 10.8593 | + | 3.18858i | 0.511345 | + | 0.150145i | ||||
\(452\) | −14.9933 | − | 16.9254i | −0.705226 | − | 0.796104i | ||||
\(453\) | −3.81630 | − | 4.40424i | −0.179305 | − | 0.206929i | ||||
\(454\) | 0.0371702 | − | 0.562977i | 0.00174448 | − | 0.0264218i | ||||
\(455\) | 2.14770 | + | 7.31441i | 0.100686 | + | 0.342905i | ||||
\(456\) | 0.846696 | − | 2.38912i | 0.0396502 | − | 0.111881i | ||||
\(457\) | 6.19275 | + | 0.890383i | 0.289685 | + | 0.0416504i | 0.285625 | − | 0.958341i | \(-0.407799\pi\) |
0.00405941 | + | 0.999992i | \(0.498708\pi\) | |||||||
\(458\) | −1.87455 | − | 24.3377i | −0.0875921 | − | 1.13722i | ||||
\(459\) | −0.487174 | −0.0227393 | ||||||||
\(460\) | 2.54425 | + | 9.24807i | 0.118626 | + | 0.431194i | ||||
\(461\) | 22.2146 | 1.03464 | 0.517319 | − | 0.855793i | \(-0.326930\pi\) | ||||
0.517319 | + | 0.855793i | \(0.326930\pi\) | |||||||
\(462\) | 0.689323 | + | 8.94961i | 0.0320702 | + | 0.416374i | ||||
\(463\) | −11.3013 | − | 1.62489i | −0.525218 | − | 0.0755149i | −0.125394 | − | 0.992107i | \(-0.540020\pi\) |
−0.399824 | + | 0.916592i | \(0.630929\pi\) | |||||||
\(464\) | 16.2040 | + | 17.8937i | 0.752251 | + | 0.830695i | ||||
\(465\) | −2.81718 | − | 9.59444i | −0.130644 | − | 0.444932i | ||||
\(466\) | −0.955152 | + | 14.4666i | −0.0442465 | + | 0.670154i | ||||
\(467\) | 11.7244 | + | 13.5307i | 0.542542 | + | 0.626127i | 0.959129 | − | 0.282969i | \(-0.0913192\pi\) |
−0.416587 | + | 0.909096i | \(0.636774\pi\) | |||||||
\(468\) | 12.0570 | − | 10.6806i | 0.557334 | − | 0.493713i | ||||
\(469\) | −7.03594 | − | 2.06594i | −0.324889 | − | 0.0953962i | ||||
\(470\) | −4.51042 | + | 1.71047i | −0.208050 | + | 0.0788980i | ||||
\(471\) | 16.8197 | + | 10.8094i | 0.775011 | + | 0.498069i | ||||
\(472\) | −16.5577 | − | 8.69148i | −0.762129 | − | 0.400058i | ||||
\(473\) | 6.24639 | − | 7.20872i | 0.287209 | − | 0.331457i | ||||
\(474\) | −6.95393 | + | 7.03044i | −0.319405 | + | 0.322919i | ||||
\(475\) | 0.0545696 | + | 0.379540i | 0.00250383 | + | 0.0174145i | ||||
\(476\) | 1.73899 | + | 0.490010i | 0.0797066 | + | 0.0224596i | ||||
\(477\) | −29.0040 | + | 13.2457i | −1.32800 | + | 0.606477i | ||||
\(478\) | 1.22308 | − | 5.77433i | 0.0559424 | − | 0.264112i | ||||
\(479\) | 17.1186 | − | 37.4845i | 0.782168 | − | 1.71271i | 0.0843470 | − | 0.996436i | \(-0.473120\pi\) |
0.697821 | − | 0.716272i | \(-0.254153\pi\) | |||||||
\(480\) | −6.65109 | − | 11.4260i | −0.303579 | − | 0.521524i | ||||
\(481\) | 7.25446 | + | 11.2882i | 0.330775 | + | 0.514696i | ||||
\(482\) | 11.9231 | − | 22.1224i | 0.543082 | − | 1.00765i | ||||
\(483\) | −10.1805 | − | 24.0572i | −0.463229 | − | 1.09464i | ||||
\(484\) | −10.6028 | − | 16.1080i | −0.481946 | − | 0.732182i | ||||
\(485\) | 3.02413 | − | 1.94349i | 0.137319 | − | 0.0882493i | ||||
\(486\) | −23.1424 | − | 17.1274i | −1.04976 | − | 0.776916i | ||||
\(487\) | −31.6912 | − | 14.4729i | −1.43607 | − | 0.655829i | −0.463000 | − | 0.886358i | \(-0.653227\pi\) |
−0.973066 | + | 0.230529i | \(0.925954\pi\) | |||||||
\(488\) | 4.63762 | − | 1.81699i | 0.209935 | − | 0.0822513i | ||||
\(489\) | 3.74396 | + | 8.19813i | 0.169308 | + | 0.370732i | ||||
\(490\) | 2.16457 | − | 0.483292i | 0.0977854 | − | 0.0218329i | ||||
\(491\) | −18.6110 | + | 2.67586i | −0.839904 | + | 0.120760i | −0.548823 | − | 0.835939i | \(-0.684924\pi\) |
−0.291081 | + | 0.956698i | \(0.594015\pi\) | |||||||
\(492\) | 43.4183 | − | 13.2665i | 1.95745 | − | 0.598100i | ||||
\(493\) | −1.76787 | − | 1.53187i | −0.0796208 | − | 0.0689918i | ||||
\(494\) | 0.858556 | + | 1.55208i | 0.0386283 | + | 0.0698313i | ||||
\(495\) | −1.55115 | + | 2.41364i | −0.0697191 | + | 0.108485i | ||||
\(496\) | −15.4082 | + | 7.44840i | −0.691849 | + | 0.334443i | ||||
\(497\) | −3.35840 | + | 11.4377i | −0.150645 | + | 0.513049i | ||||
\(498\) | 51.7443 | + | 18.9778i | 2.31872 | + | 0.850415i | ||||
\(499\) | −15.4335 | + | 13.3732i | −0.690899 | + | 0.598667i | −0.927894 | − | 0.372844i | \(-0.878383\pi\) |
0.236996 | + | 0.971511i | \(0.423837\pi\) | |||||||
\(500\) | 1.69424 | + | 1.06281i | 0.0757686 | + | 0.0475302i | ||||
\(501\) | −12.9745 | + | 3.80967i | −0.579660 | + | 0.170204i | ||||
\(502\) | −30.3736 | + | 22.9978i | −1.35564 | + | 1.02644i | ||||
\(503\) | −5.96787 | + | 41.5075i | −0.266094 | + | 1.85073i | 0.218307 | + | 0.975880i | \(0.429947\pi\) |
−0.484401 | + | 0.874846i | \(0.660963\pi\) | |||||||
\(504\) | 9.93870 | + | 12.8320i | 0.442705 | + | 0.571584i | ||||
\(505\) | 18.4003i | 0.818804i | ||||||||
\(506\) | −6.21813 | − | 4.87794i | −0.276430 | − | 0.216851i | ||||
\(507\) | − | 5.37812i | − | 0.238851i | ||||||
\(508\) | −5.71517 | + | 12.8858i | −0.253570 | + | 0.571714i | ||||
\(509\) | −2.06104 | + | 14.3348i | −0.0913538 | + | 0.635380i | 0.891777 | + | 0.452475i | \(0.149459\pi\) |
−0.983131 | + | 0.182904i | \(0.941450\pi\) | |||||||
\(510\) | 0.773344 | + | 1.02137i | 0.0342443 | + | 0.0452271i | ||||
\(511\) | −17.4849 | + | 5.13402i | −0.773485 | + | 0.227116i | ||||
\(512\) | −17.4248 | + | 14.4353i | −0.770074 | + | 0.637954i | ||||
\(513\) | 0.364228 | − | 0.315605i | 0.0160811 | − | 0.0139343i | ||||
\(514\) | 6.58785 | − | 17.9622i | 0.290578 | − | 0.792281i | ||||
\(515\) | 2.34264 | − | 7.97829i | 0.103229 | − | 0.351565i | ||||
\(516\) | 5.03060 | − | 37.9304i | 0.221460 | − | 1.66979i | ||||
\(517\) | 2.14886 | − | 3.34369i | 0.0945068 | − | 0.147055i | ||||
\(518\) | −11.8316 | + | 6.54480i | −0.519849 | + | 0.287562i | ||||
\(519\) | −1.30278 | − | 1.12887i | −0.0571858 | − | 0.0495518i | ||||
\(520\) | 9.07116 | + | 1.81792i | 0.397797 | + | 0.0797209i | ||||
\(521\) | −16.1583 | + | 2.32321i | −0.707908 | + | 0.101782i | −0.486859 | − | 0.873481i | \(-0.661857\pi\) |
−0.221049 | + | 0.975263i | \(0.570948\pi\) | |||||||
\(522\) | −4.57927 | − | 20.5097i | −0.200429 | − | 0.897685i | ||||
\(523\) | −3.98000 | − | 8.71498i | −0.174033 | − | 0.381080i | 0.802435 | − | 0.596739i | \(-0.203537\pi\) |
−0.976469 | + | 0.215659i | \(0.930810\pi\) | |||||||
\(524\) | −25.7940 | + | 30.4344i | −1.12681 | + | 1.32953i | ||||
\(525\) | −4.95472 | − | 2.26274i | −0.216242 | − | 0.0987543i | ||||
\(526\) | −3.43003 | + | 4.63463i | −0.149557 | + | 0.202079i | ||||
\(527\) | 1.39511 | − | 0.896586i | 0.0607721 | − | 0.0390559i | ||||
\(528\) | 10.0057 | + | 4.30737i | 0.435441 | + | 0.187454i | ||||
\(529\) | 21.6700 | + | 7.70799i | 0.942172 | + | 0.335130i | ||||
\(530\) | −16.1215 | − | 8.68885i | −0.700274 | − | 0.377420i | ||||
\(531\) | 8.80108 | + | 13.6948i | 0.381935 | + | 0.594302i | ||||
\(532\) | −1.61757 | + | 0.760220i | −0.0701307 | + | 0.0329597i | ||||
\(533\) | −13.1975 | + | 28.8985i | −0.571646 | + | 1.25173i | ||||
\(534\) | 18.4607 | + | 3.91023i | 0.798873 | + | 0.169212i | ||||
\(535\) | −8.21597 | + | 3.75211i | −0.355207 | + | 0.162218i | ||||
\(536\) | −6.18863 | + | 6.39519i | −0.267308 | + | 0.276230i | ||||
\(537\) | 3.52093 | + | 24.4886i | 0.151940 | + | 1.05676i | ||||
\(538\) | 7.15763 | + | 7.07973i | 0.308587 | + | 0.305229i | ||||
\(539\) | −1.19671 | + | 1.38108i | −0.0515461 | + | 0.0594873i | ||||
\(540\) | −0.0275057 | − | 2.51362i | −0.00118366 | − | 0.108169i | ||||
\(541\) | −18.8232 | − | 12.0970i | −0.809274 | − | 0.520089i | 0.0693557 | − | 0.997592i | \(-0.477906\pi\) |
−0.878630 | + | 0.477503i | \(0.841542\pi\) | |||||||
\(542\) | 12.4846 | + | 32.9213i | 0.536260 | + | 1.41409i | ||||
\(543\) | −22.0751 | − | 6.48183i | −0.947332 | − | 0.278162i | ||||
\(544\) | 1.50743 | − | 1.59225i | 0.0646306 | − | 0.0682671i | ||||
\(545\) | −9.17036 | − | 10.5832i | −0.392815 | − | 0.453333i | ||||
\(546\) | −25.1416 | − | 1.65996i | −1.07596 | − | 0.0710396i | ||||
\(547\) | −10.3224 | − | 35.1548i | −0.441353 | − | 1.50311i | −0.817159 | − | 0.576412i | \(-0.804452\pi\) |
0.375807 | − | 0.926698i | \(-0.377366\pi\) | |||||||
\(548\) | 4.91582 | + | 31.7222i | 0.209994 | + | 1.35511i | ||||
\(549\) | −4.29182 | − | 0.617071i | −0.183170 | − | 0.0263359i | ||||
\(550\) | −1.64305 | + | 0.126552i | −0.0700599 | + | 0.00539620i | ||||
\(551\) | 2.31411 | 0.0985843 | ||||||||
\(552\) | −31.5932 | − | 2.63013i | −1.34470 | − | 0.111946i | ||||
\(553\) | 6.97275 | 0.296512 | ||||||||
\(554\) | 37.4245 | − | 2.88254i | 1.59002 | − | 0.122467i | ||||
\(555\) | −9.49006 | − | 1.36446i | −0.402831 | − | 0.0579183i | ||||
\(556\) | 2.52126 | + | 16.2699i | 0.106925 | + | 0.689997i | ||||
\(557\) | −11.3102 | − | 38.5191i | −0.479229 | − | 1.63211i | −0.744278 | − | 0.667870i | \(-0.767206\pi\) |
0.265048 | − | 0.964235i | \(-0.414612\pi\) | |||||||
\(558\) | 14.8658 | + | 0.981508i | 0.629321 | + | 0.0415506i | ||||
\(559\) | 17.5339 | + | 20.2351i | 0.741603 | + | 0.855855i | ||||
\(560\) | −2.43007 | + | 9.00014i | −0.102689 | + | 0.380325i | ||||
\(561\) | −1.01283 | − | 0.297393i | −0.0427616 | − | 0.0125559i | ||||
\(562\) | −4.80769 | − | 12.6776i | −0.202800 | − | 0.534774i | ||||
\(563\) | 23.4349 | + | 15.0607i | 0.987661 | + | 0.634731i | 0.931519 | − | 0.363691i | \(-0.118484\pi\) |
0.0561418 | + | 0.998423i | \(0.482120\pi\) | |||||||
\(564\) | −0.174458 | − | 15.9429i | −0.00734601 | − | 0.671318i | ||||
\(565\) | −7.40361 | + | 8.54422i | −0.311472 | + | 0.359458i | ||||
\(566\) | 6.97330 | + | 6.89741i | 0.293110 | + | 0.289920i | ||||
\(567\) | 3.42431 | + | 23.8166i | 0.143808 | + | 1.00020i | ||||
\(568\) | 10.3961 | + | 10.0603i | 0.436209 | + | 0.422120i | ||||
\(569\) | 8.53219 | − | 3.89652i | 0.357688 | − | 0.163351i | −0.228463 | − | 0.973553i | \(-0.573370\pi\) |
0.586151 | + | 0.810202i | \(0.300643\pi\) | |||||||
\(570\) | −1.23985 | − | 0.262617i | −0.0519317 | − | 0.0109998i | ||||
\(571\) | −16.9057 | + | 37.0183i | −0.707480 | + | 1.54917i | 0.123179 | + | 0.992385i | \(0.460691\pi\) |
−0.830659 | + | 0.556781i | \(0.812036\pi\) | |||||||
\(572\) | −6.89894 | + | 3.24234i | −0.288459 | + | 0.135569i | ||||
\(573\) | 29.9016 | + | 46.5278i | 1.24916 | + | 1.94373i | ||||
\(574\) | −28.1805 | − | 15.1882i | −1.17623 | − | 0.633943i | ||||
\(575\) | 4.41664 | − | 1.86903i | 0.184187 | − | 0.0779439i | ||||
\(576\) | 19.3947 | − | 3.44168i | 0.808112 | − | 0.143403i | ||||
\(577\) | −19.8558 | + | 12.7605i | −0.826607 | + | 0.531228i | −0.884198 | − | 0.467112i | \(-0.845294\pi\) |
0.0575913 | + | 0.998340i | \(0.481658\pi\) | |||||||
\(578\) | 14.1757 | − | 19.1541i | 0.589632 | − | 0.796704i | ||||
\(579\) | 41.1806 | + | 18.8066i | 1.71141 | + | 0.781574i | ||||
\(580\) | 7.80398 | − | 9.20795i | 0.324043 | − | 0.382339i | ||||
\(581\) | −16.1443 | − | 35.3511i | −0.669778 | − | 1.46661i | ||||
\(582\) | 2.58908 | + | 11.5960i | 0.107321 | + | 0.480670i | ||||
\(583\) | 14.9363 | − | 2.14752i | 0.618599 | − | 0.0889410i | ||||
\(584\) | −4.34567 | + | 21.6843i | −0.179825 | + | 0.897303i | ||||
\(585\) | −6.08656 | − | 5.27403i | −0.251648 | − | 0.218054i | ||||
\(586\) | 16.6883 | − | 9.23137i | 0.689386 | − | 0.381344i | ||||
\(587\) | −21.4653 | + | 33.4006i | −0.885967 | + | 1.37859i | 0.0392812 | + | 0.999228i | \(0.487493\pi\) |
−0.925248 | + | 0.379363i | \(0.876143\pi\) | |||||||
\(588\) | −0.963786 | + | 7.26689i | −0.0397459 | + | 0.299682i | ||||
\(589\) | −0.462201 | + | 1.57411i | −0.0190447 | + | 0.0648602i | ||||
\(590\) | −3.21955 | + | 8.77833i | −0.132547 | + | 0.361398i | ||||
\(591\) | −26.5140 | + | 22.9746i | −1.09064 | + | 0.945047i | ||||
\(592\) | 0.359078 | + | 16.4053i | 0.0147580 | + | 0.674253i | ||||
\(593\) | 7.78058 | − | 2.28458i | 0.319510 | − | 0.0938166i | −0.118045 | − | 0.993008i | \(-0.537663\pi\) |
0.437555 | + | 0.899192i | \(0.355845\pi\) | |||||||
\(594\) | 1.25030 | + | 1.65130i | 0.0513004 | + | 0.0677535i | ||||
\(595\) | 0.128561 | − | 0.894160i | 0.00527048 | − | 0.0366570i | ||||
\(596\) | −7.99109 | + | 18.0172i | −0.327328 | + | 0.738014i | ||||
\(597\) | 18.4157i | 0.753704i | ||||||||
\(598\) | 16.0372 | − | 15.3282i | 0.655811 | − | 0.626817i | ||||
\(599\) | − | 24.7288i | − | 1.01039i | −0.863005 | − | 0.505196i | \(-0.831420\pi\) | ||
0.863005 | − | 0.505196i | \(-0.168580\pi\) | |||||||
\(600\) | −5.22619 | + | 4.04780i | −0.213358 | + | 0.165251i | ||||
\(601\) | 0.841560 | − | 5.85318i | 0.0343279 | − | 0.238756i | −0.965432 | − | 0.260654i | \(-0.916062\pi\) |
0.999760 | + | 0.0218980i | \(0.00697089\pi\) | |||||||
\(602\) | −21.5099 | + | 16.2865i | −0.876679 | + | 0.663789i | ||||
\(603\) | 7.43325 | − | 2.18260i | 0.302705 | − | 0.0888823i | ||||
\(604\) | 4.22458 | + | 2.65011i | 0.171896 | + | 0.107831i | ||||
\(605\) | −7.28708 | + | 6.31429i | −0.296262 | + | 0.256712i | ||||
\(606\) | −57.0979 | − | 20.9413i | −2.31944 | − | 0.850682i | ||||
\(607\) | −1.32319 | + | 4.50638i | −0.0537067 | + | 0.182908i | −0.981978 | − | 0.188996i | \(-0.939477\pi\) |
0.928271 | + | 0.371904i | \(0.121295\pi\) | |||||||
\(608\) | −0.0955046 | + | 2.16698i | −0.00387322 | + | 0.0878825i | ||||
\(609\) | −17.7724 | + | 27.6543i | −0.720172 | + | 1.12061i | ||||
\(610\) | −1.20548 | − | 2.17923i | −0.0488083 | − | 0.0882346i | ||||
\(611\) | 8.43190 | + | 7.30629i | 0.341118 | + | 0.295581i | ||||
\(612\) | −1.82542 | + | 0.557759i | −0.0737883 | + | 0.0225461i | ||||
\(613\) | −32.8423 | + | 4.72201i | −1.32649 | + | 0.190720i | −0.768884 | − | 0.639388i | \(-0.779188\pi\) |
−0.557603 | + | 0.830108i | \(0.688279\pi\) | |||||||
\(614\) | −29.3039 | + | 6.54278i | −1.18261 | + | 0.264045i | ||||
\(615\) | −9.42990 | − | 20.6486i | −0.380250 | − | 0.832632i | ||||
\(616\) | −2.80210 | − | 7.15196i | −0.112900 | − | 0.288161i | ||||
\(617\) | 41.5816 | + | 18.9897i | 1.67401 | + | 0.764495i | 0.999660 | + | 0.0260838i | \(0.00830369\pi\) |
0.674351 | + | 0.738411i | \(0.264424\pi\) | |||||||
\(618\) | 22.0912 | + | 16.3494i | 0.888639 | + | 0.657671i | ||||
\(619\) | −12.4001 | + | 7.96907i | −0.498403 | + | 0.320304i | −0.765577 | − | 0.643344i | \(-0.777546\pi\) |
0.267174 | + | 0.963648i | \(0.413910\pi\) | |||||||
\(620\) | 4.70478 | + | 7.14759i | 0.188948 | + | 0.287054i | ||||
\(621\) | −4.97744 | − | 3.39992i | −0.199738 | − | 0.136434i | ||||
\(622\) | 7.81007 | − | 14.4910i | 0.313155 | − | 0.581037i | ||||
\(623\) | −7.19378 | − | 11.1937i | −0.288213 | − | 0.448468i | ||||
\(624\) | −15.9650 | + | 26.0797i | −0.639111 | + | 1.04402i | ||||
\(625\) | 0.415415 | − | 0.909632i | 0.0166166 | − | 0.0363853i | ||||
\(626\) | −2.92620 | + | 13.8150i | −0.116954 | + | 0.552158i | ||||
\(627\) | 0.949885 | − | 0.433798i | 0.0379347 | − | 0.0173242i | ||||
\(628\) | −16.4682 | − | 4.64038i | −0.657152 | − | 0.185171i | ||||
\(629\) | −0.226291 | − | 1.57389i | −0.00902282 | − | 0.0627551i | ||||
\(630\) | 5.70697 | − | 5.76976i | 0.227371 | − | 0.229873i | ||||
\(631\) | −18.1668 | + | 20.9656i | −0.723209 | + | 0.834628i | −0.991689 | − | 0.128657i | \(-0.958933\pi\) |
0.268480 | + | 0.963285i | \(0.413479\pi\) | |||||||
\(632\) | 3.93303 | − | 7.49260i | 0.156447 | − | 0.298040i | ||||
\(633\) | 10.6633 | + | 6.85288i | 0.423827 | + | 0.272377i | ||||
\(634\) | −42.8737 | + | 16.2588i | −1.70273 | + | 0.645720i | ||||
\(635\) | 6.76267 | + | 1.98570i | 0.268368 | + | 0.0788000i | ||||
\(636\) | 45.3101 | − | 40.1378i | 1.79666 | − | 1.59157i | ||||
\(637\) | −3.35922 | − | 3.87674i | −0.133097 | − | 0.153602i | ||||
\(638\) | −0.655206 | + | 9.92369i | −0.0259398 | + | 0.392883i | ||||
\(639\) | −3.54804 | − | 12.0835i | −0.140358 | − | 0.478017i | ||||
\(640\) | 8.30044 | + | 7.68783i | 0.328104 | + | 0.303888i | ||||
\(641\) | −20.8527 | − | 2.99816i | −0.823631 | − | 0.118420i | −0.282403 | − | 0.959296i | \(-0.591131\pi\) |
−0.541228 | + | 0.840876i | \(0.682040\pi\) | |||||||
\(642\) | −2.29259 | − | 29.7651i | −0.0904814 | − | 1.17474i | ||||
\(643\) | 25.7628 | 1.01599 | 0.507993 | − | 0.861361i | \(-0.330388\pi\) | ||||
0.507993 | + | 0.861361i | \(0.330388\pi\) | |||||||
\(644\) | 14.3475 | + | 17.1426i | 0.565370 | + | 0.675513i | ||||
\(645\) | −19.1313 | −0.753294 | ||||||||
\(646\) | −0.0161413 | − | 0.209566i | −0.000635073 | − | 0.00824526i | ||||
\(647\) | 32.9845 | + | 4.74246i | 1.29675 | + | 0.186445i | 0.755909 | − | 0.654677i | \(-0.227195\pi\) |
0.540846 | + | 0.841122i | \(0.318104\pi\) | |||||||
\(648\) | 27.5238 | + | 9.75431i | 1.08124 | + | 0.383186i | ||||
\(649\) | −2.17050 | − | 7.39203i | −0.0851994 | − | 0.290163i | ||||
\(650\) | 0.304750 | − | 4.61571i | 0.0119533 | − | 0.181043i | ||||
\(651\) | −15.2615 | − | 17.6127i | −0.598144 | − | 0.690294i | ||||
\(652\) | −5.11408 | − | 5.77310i | −0.200283 | − | 0.226092i | ||||
\(653\) | −41.7302 | − | 12.2531i | −1.63303 | − | 0.479501i | −0.668551 | − | 0.743666i | \(-0.733085\pi\) |
−0.964477 | + | 0.264165i | \(0.914904\pi\) | |||||||
\(654\) | 43.2772 | − | 16.4118i | 1.69227 | − | 0.641754i | ||||
\(655\) | 16.7807 | + | 10.7843i | 0.655678 | + | 0.421379i | ||||
\(656\) | −32.2160 | + | 21.7145i | −1.25782 | + | 0.847810i | ||||
\(657\) | 12.6074 | − | 14.5497i | 0.491862 | − | 0.567639i | ||||
\(658\) | −7.90605 | + | 7.99303i | −0.308210 | + | 0.311601i | ||||
\(659\) | −3.88979 | − | 27.0541i | −0.151525 | − | 1.05388i | −0.913665 | − | 0.406467i | \(-0.866761\pi\) |
0.762141 | − | 0.647412i | \(-0.224149\pi\) | |||||||
\(660\) | 1.47724 | − | 5.24256i | 0.0575015 | − | 0.204066i | ||||
\(661\) | 13.1647 | − | 6.01212i | 0.512047 | − | 0.233844i | −0.142597 | − | 0.989781i | \(-0.545545\pi\) |
0.654645 | + | 0.755937i | \(0.272818\pi\) | |||||||
\(662\) | 6.96523 | − | 32.8838i | 0.270711 | − | 1.27807i | ||||
\(663\) | 1.23090 | − | 2.69530i | 0.0478044 | − | 0.104677i | ||||
\(664\) | −47.0930 | − | 2.59209i | −1.82756 | − | 0.100593i | ||||
\(665\) | 0.483146 | + | 0.751790i | 0.0187356 | + | 0.0291532i | ||||
\(666\) | 6.77719 | − | 12.5746i | 0.262611 | − | 0.487255i | ||||
\(667\) | −7.37155 | − | 27.9887i | −0.285428 | − | 1.08373i | ||||
\(668\) | 9.66567 | − | 6.36226i | 0.373976 | − | 0.246163i | ||||
\(669\) | 43.2360 | − | 27.7861i | 1.67160 | − | 1.07427i | ||||
\(670\) | 3.57667 | + | 2.64705i | 0.138179 | + | 0.102264i | ||||
\(671\) | 1.86657 | + | 0.852435i | 0.0720582 | + | 0.0329079i | ||||
\(672\) | −25.1626 | − | 17.7837i | −0.970668 | − | 0.686021i | ||||
\(673\) | −1.09251 | − | 2.39227i | −0.0421133 | − | 0.0922152i | 0.887406 | − | 0.460989i | \(-0.152505\pi\) |
−0.929519 | + | 0.368773i | \(0.879778\pi\) | |||||||
\(674\) | 40.6983 | − | 9.08685i | 1.56764 | − | 0.350012i | ||||
\(675\) | −1.24409 | + | 0.178873i | −0.0478850 | + | 0.00688483i | ||||
\(676\) | 1.34486 | + | 4.40144i | 0.0517255 | + | 0.169286i | ||||
\(677\) | −8.22923 | − | 7.13067i | −0.316275 | − | 0.274054i | 0.482227 | − | 0.876047i | \(-0.339828\pi\) |
−0.798502 | + | 0.601993i | \(0.794374\pi\) | |||||||
\(678\) | −18.0875 | − | 32.6982i | −0.694646 | − | 1.25577i | ||||
\(679\) | 4.52951 | − | 7.04806i | 0.173827 | − | 0.270480i | ||||
\(680\) | −0.888308 | − | 0.642503i | −0.0340651 | − | 0.0246389i | ||||
\(681\) | 0.262689 | − | 0.894636i | 0.0100663 | − | 0.0342825i | ||||
\(682\) | −6.61948 | − | 2.42777i | −0.253473 | − | 0.0929640i | ||||
\(683\) | −5.83890 | + | 5.05943i | −0.223419 | + | 0.193594i | −0.759377 | − | 0.650651i | \(-0.774496\pi\) |
0.535958 | + | 0.844245i | \(0.319951\pi\) | |||||||
\(684\) | 1.00342 | − | 1.59956i | 0.0383665 | − | 0.0611607i | ||||
\(685\) | 15.4003 | − | 4.52193i | 0.588414 | − | 0.172774i | ||||
\(686\) | 22.5150 | − | 17.0475i | 0.859627 | − | 0.650878i | ||||
\(687\) | 5.74094 | − | 39.9291i | 0.219030 | − | 1.52339i | ||||
\(688\) | 5.36793 | + | 32.3001i | 0.204650 | + | 1.23143i | ||||
\(689\) | 42.3579i | 1.61371i | ||||||||
\(690\) | 0.773216 | + | 15.8324i | 0.0294358 | + | 0.602728i | ||||
\(691\) | − | 4.05721i | − | 0.154344i | −0.997018 | − | 0.0771718i | \(-0.975411\pi\) | ||
0.997018 | − | 0.0771718i | \(-0.0245890\pi\) | |||||||
\(692\) | 1.34848 | + | 0.598085i | 0.0512615 | + | 0.0227358i | ||||
\(693\) | −0.951623 | + | 6.61868i | −0.0361492 | + | 0.251423i | ||||
\(694\) | −3.99215 | − | 5.27251i | −0.151540 | − | 0.200142i | ||||
\(695\) | 7.89859 | − | 2.31923i | 0.299610 | − | 0.0879736i | ||||
\(696\) | 19.6915 | + | 34.6960i | 0.746403 | + | 1.31515i | ||||
\(697\) | 2.84517 | − | 2.46535i | 0.107768 | − | 0.0933819i | ||||
\(698\) | 11.0052 | − | 30.0063i | 0.416551 | − | 1.13576i | ||||
\(699\) | −6.75023 | + | 22.9892i | −0.255317 | + | 0.869531i | ||||
\(700\) | 4.62075 | + | 0.612836i | 0.174648 | + | 0.0231630i | ||||
\(701\) | −7.05294 | + | 10.9746i | −0.266386 | + | 0.414505i | −0.948517 | − | 0.316725i | \(-0.897417\pi\) |
0.682131 | + | 0.731230i | \(0.261053\pi\) | |||||||
\(702\) | −5.08754 | + | 2.81425i | −0.192017 | + | 0.106217i | ||||
\(703\) | 1.18879 | + | 1.03010i | 0.0448362 | + | 0.0388508i | ||||
\(704\) | −9.26571 | − | 1.02311i | −0.349215 | − | 0.0385597i | ||||
\(705\) | −7.89079 | + | 1.13452i | −0.297184 | + | 0.0427287i | ||||
\(706\) | 8.46112 | + | 37.8957i | 0.318438 | + | 1.42622i | ||||
\(707\) | 17.8146 | + | 39.0086i | 0.669989 | + | 1.46707i | ||||
\(708\) | −23.5758 | − | 19.9811i | −0.886033 | − | 0.750936i | ||||
\(709\) | 9.01501 | + | 4.11702i | 0.338566 | + | 0.154618i | 0.577441 | − | 0.816432i | \(-0.304051\pi\) |
−0.238875 | + | 0.971050i | \(0.576779\pi\) | |||||||
\(710\) | 4.30306 | − | 5.81425i | 0.161491 | − | 0.218205i | ||||
\(711\) | −6.19709 | + | 3.98263i | −0.232409 | + | 0.149360i | ||||
\(712\) | −16.0860 | + | 1.41620i | −0.602848 | + | 0.0530745i | ||||
\(713\) | 20.5110 | + | 0.575936i | 0.768142 | + | 0.0215690i | ||||
\(714\) | 2.62835 | + | 1.41657i | 0.0983634 | + | 0.0530139i | ||||
\(715\) | 2.06062 | + | 3.20638i | 0.0770627 | + | 0.119912i | ||||
\(716\) | −9.00519 | − | 19.1610i | −0.336540 | − | 0.716079i | ||||
\(717\) | 4.05213 | − | 8.87293i | 0.151330 | − | 0.331365i | ||||
\(718\) | 43.6178 | + | 9.23883i | 1.62780 | + | 0.344790i | ||||
\(719\) | −10.5756 | + | 4.82971i | −0.394403 | + | 0.180118i | −0.602737 | − | 0.797940i | \(-0.705923\pi\) |
0.208334 | + | 0.978058i | \(0.433196\pi\) | |||||||
\(720\) | −2.98087 | − | 9.38692i | −0.111090 | − | 0.349830i | ||||
\(721\) | −2.75795 | − | 19.1820i | −0.102712 | − | 0.714375i | ||||
\(722\) | −18.9558 | − | 18.7495i | −0.705463 | − | 0.697786i | ||||
\(723\) | 27.1973 | − | 31.3874i | 1.01148 | − | 1.16731i | ||||
\(724\) | 19.6870 | − | 0.215429i | 0.731663 | − | 0.00800635i | ||||
\(725\) | −5.07703 | − | 3.26281i | −0.188556 | − | 0.121178i | ||||
\(726\) | −11.3004 | − | 29.7987i | −0.419399 | − | 1.10593i | ||||
\(727\) | −33.4721 | − | 9.82829i | −1.24141 | − | 0.364511i | −0.405866 | − | 0.913933i | \(-0.633030\pi\) |
−0.835545 | + | 0.549422i | \(0.814848\pi\) | |||||||
\(728\) | 20.9909 | − | 4.92844i | 0.777973 | − | 0.182660i | ||||
\(729\) | −10.8757 | − | 12.5513i | −0.402805 | − | 0.464862i | ||||
\(730\) | 11.0337 | + | 0.728495i | 0.408376 | + | 0.0269628i | ||||
\(731\) | −0.893895 | − | 3.04433i | −0.0330619 | − | 0.112598i | ||||
\(732\) | 8.13430 | − | 1.26053i | 0.300653 | − | 0.0465906i | ||||
\(733\) | 41.3372 | + | 5.94339i | 1.52682 | + | 0.219524i | 0.853998 | − | 0.520277i | \(-0.174171\pi\) |
0.672826 | + | 0.739801i | \(0.265080\pi\) | |||||||
\(734\) | 14.9161 | − | 1.14888i | 0.550564 | − | 0.0424060i | ||||
\(735\) | 3.66526 | 0.135195 | ||||||||
\(736\) | 26.5135 | − | 5.74776i | 0.977299 | − | 0.211865i | ||||
\(737\) | −3.66633 | −0.135051 | ||||||||
\(738\) | 33.7207 | − | 2.59726i | 1.24128 | − | 0.0956065i | ||||
\(739\) | −36.2487 | − | 5.21178i | −1.33343 | − | 0.191719i | −0.561528 | − | 0.827458i | \(-0.689786\pi\) |
−0.771904 | + | 0.635739i | \(0.780695\pi\) | |||||||
\(740\) | 8.10784 | − | 1.25643i | 0.298050 | − | 0.0461872i | ||||
\(741\) | 0.825830 | + | 2.81252i | 0.0303376 | + | 0.103320i | ||||
\(742\) | −42.5898 | − | 2.81197i | −1.56352 | − | 0.103231i | ||||
\(743\) | −20.9496 | − | 24.1772i | −0.768568 | − | 0.886975i | 0.227661 | − | 0.973740i | \(-0.426892\pi\) |
−0.996229 | + | 0.0867659i | \(0.972347\pi\) | |||||||
\(744\) | −27.5341 | + | 6.46473i | −1.00945 | + | 0.237008i | ||||
\(745\) | 9.45572 | + | 2.77645i | 0.346431 | + | 0.101721i | ||||
\(746\) | 2.96432 | + | 7.81677i | 0.108531 | + | 0.286192i | ||||
\(747\) | 34.5398 | + | 22.1974i | 1.26375 | + | 0.812161i | ||||
\(748\) | 0.903262 | − | 0.00988410i | 0.0330265 | − | 0.000361398i | ||||
\(749\) | −13.7851 | + | 15.9089i | −0.503698 | + | 0.581298i | ||||
\(750\) | 2.34989 | + | 2.32432i | 0.0858058 | + | 0.0848720i | ||||
\(751\) | 6.23155 | + | 43.3414i | 0.227393 | + | 1.58155i | 0.709029 | + | 0.705179i | \(0.249133\pi\) |
−0.481637 | + | 0.876371i | \(0.659957\pi\) | |||||||
\(752\) | 4.12949 | + | 13.0040i | 0.150587 | + | 0.474207i | ||||
\(753\) | −57.2712 | + | 26.1549i | −2.08708 | + | 0.953137i | ||||
\(754\) | −27.3109 | − | 5.78481i | −0.994604 | − | 0.210671i | ||||
\(755\) | 1.03584 | − | 2.26816i | 0.0376979 | − | 0.0825470i | ||||
\(756\) | −2.49192 | − | 5.30222i | −0.0906302 | − | 0.192840i | ||||
\(757\) | 19.8397 | + | 30.8712i | 0.721086 | + | 1.12203i | 0.987415 | + | 0.158150i | \(0.0505528\pi\) |
−0.266329 | + | 0.963882i | \(0.585811\pi\) | |||||||
\(758\) | 4.23102 | + | 2.28035i | 0.153678 | + | 0.0828260i | ||||
\(759\) | −8.27255 | − | 10.1068i | −0.300275 | − | 0.366855i | ||||
\(760\) | 1.08036 | − | 0.0951146i | 0.0391888 | − | 0.00345017i | ||||
\(761\) | 19.6005 | − | 12.5965i | 0.710519 | − | 0.456623i | −0.134808 | − | 0.990872i | \(-0.543042\pi\) |
0.845327 | + | 0.534249i | \(0.179406\pi\) | |||||||
\(762\) | −13.8583 | + | 18.7253i | −0.502035 | + | 0.678344i | ||||
\(763\) | −29.6874 | − | 13.5578i | −1.07476 | − | 0.490825i | ||||
\(764\) | −36.1062 | − | 30.6010i | −1.30628 | − | 1.10710i | ||||
\(765\) | 0.396458 | + | 0.868122i | 0.0143340 | + | 0.0313870i | ||||
\(766\) | 7.35064 | + | 32.9221i | 0.265589 | + | 1.18952i | ||||
\(767\) | 21.4056 | − | 3.07766i | 0.772911 | − | 0.111128i | ||||
\(768\) | −33.3027 | + | 17.0076i | −1.20171 | + | 0.613707i | ||||
\(769\) | −5.42438 | − | 4.70025i | −0.195608 | − | 0.169495i | 0.551550 | − | 0.834142i | \(-0.314037\pi\) |
−0.747158 | + | 0.664647i | \(0.768582\pi\) | |||||||
\(770\) | −3.36073 | + | 1.85904i | −0.121112 | + | 0.0669952i | ||||
\(771\) | 17.0940 | − | 26.5988i | 0.615625 | − | 0.957931i | ||||
\(772\) | −38.4049 | − | 5.09352i | −1.38222 | − | 0.183320i | ||||
\(773\) | 12.6351 | − | 43.0313i | 0.454454 | − | 1.54773i | −0.340012 | − | 0.940421i | \(-0.610431\pi\) |
0.794466 | − | 0.607308i | \(-0.207751\pi\) | |||||||
\(774\) | 9.81474 | − | 26.7606i | 0.352784 | − | 0.961890i | ||||
\(775\) | 3.23349 | − | 2.80183i | 0.116150 | − | 0.100645i | ||||
\(776\) | −5.01862 | − | 8.84271i | −0.180158 | − | 0.317435i | ||||
\(777\) | −21.4399 | + | 6.29533i | −0.769153 | + | 0.225844i | ||||
\(778\) | 30.1245 | + | 39.7860i | 1.08002 | + | 1.42640i | ||||
\(779\) | −0.530019 | + | 3.68636i | −0.0189899 | + | 0.132078i | ||||
\(780\) | 13.9761 | + | 6.19878i | 0.500426 | + | 0.221952i | ||||
\(781\) | 5.96001i | 0.213266i | ||||||||
\(782\) | −2.48325 | + | 0.862796i | −0.0888007 | + | 0.0308535i | ||||
\(783\) | 7.58538i | 0.271079i | ||||||||
\(784\) | −1.02841 | − | 6.18821i | −0.0367291 | − | 0.221007i | ||||
\(785\) | −1.21747 | + | 8.46767i | −0.0434533 | + | 0.302224i | ||||
\(786\) | −52.5628 | + | 39.7986i | −1.87485 | + | 1.41957i | ||||
\(787\) | 17.5209 | − | 5.14459i | 0.624552 | − | 0.183385i | 0.0458820 | − | 0.998947i | \(-0.485390\pi\) |
0.578670 | + | 0.815562i | \(0.303572\pi\) | |||||||
\(788\) | 15.9539 | − | 25.4324i | 0.568336 | − | 0.905993i | ||||
\(789\) | −7.20128 | + | 6.23995i | −0.256372 | + | 0.222148i | ||||
\(790\) | −3.97233 | − | 1.45690i | −0.141329 | − | 0.0518340i | ||||
\(791\) | −7.42336 | + | 25.2817i | −0.263944 | + | 0.898912i | ||||
\(792\) | 6.57537 | + | 4.75588i | 0.233646 | + | 0.168993i | ||||
\(793\) | −3.11413 | + | 4.84568i | −0.110586 | + | 0.172075i | ||||
\(794\) | 11.6124 | + | 20.9927i | 0.412110 | + | 0.745003i | ||||
\(795\) | −22.8733 | − | 19.8198i | −0.811231 | − | 0.702936i | ||||
\(796\) | −4.60506 | − | 15.0713i | −0.163222 | − | 0.534189i | ||||
\(797\) | 21.7465 | − | 3.12668i | 0.770302 | − | 0.110753i | 0.254052 | − | 0.967191i | \(-0.418237\pi\) |
0.516250 | + | 0.856438i | \(0.327327\pi\) | |||||||
\(798\) | −2.88274 | + | 0.643639i | −0.102048 | + | 0.0227846i | ||||
\(799\) | −0.549226 | − | 1.20264i | −0.0194302 | − | 0.0425462i | ||||
\(800\) | 3.26489 | − | 4.61958i | 0.115431 | − | 0.163327i | ||||
\(801\) | 12.7871 | + | 5.83965i | 0.451808 | + | 0.206334i | ||||
\(802\) | −22.8444 | − | 16.9068i | −0.806662 | − | 0.597001i | ||||
\(803\) | −7.66476 | + | 4.92584i | −0.270483 | + | 0.173829i | ||||
\(804\) | −12.2846 | + | 8.08613i | −0.433245 | + | 0.285176i | ||||
\(805\) | 7.55372 | − | 8.23839i | 0.266234 | − | 0.290365i | ||||
\(806\) | 9.38984 | − | 17.4221i | 0.330743 | − | 0.613669i | ||||
\(807\) | 8.99496 | + | 13.9964i | 0.316637 | + | 0.492698i | ||||
\(808\) | 51.9654 | + | 2.86028i | 1.82814 | + | 0.100624i | ||||
\(809\) | 10.3154 | − | 22.5876i | 0.362671 | − | 0.794138i | −0.637057 | − | 0.770816i | \(-0.719849\pi\) |
0.999728 | − | 0.0233215i | \(-0.00742413\pi\) | |||||||
\(810\) | 3.02547 | − | 14.2836i | 0.106304 | − | 0.501876i | ||||
\(811\) | 38.9077 | − | 17.7686i | 1.36623 | − | 0.623938i | 0.408809 | − | 0.912620i | \(-0.365944\pi\) |
0.957425 | + | 0.288681i | \(0.0932168\pi\) | |||||||
\(812\) | 7.62954 | − | 27.0764i | 0.267744 | − | 0.950195i | ||||
\(813\) | 8.28084 | + | 57.5945i | 0.290422 | + | 2.01993i | ||||
\(814\) | −4.75400 | + | 4.80630i | −0.166628 | + | 0.168461i | ||||
\(815\) | −2.52530 | + | 2.91436i | −0.0884576 | + | 0.102085i | ||||
\(816\) | 3.00472 | − | 2.02527i | 0.105186 | − | 0.0708987i | ||||
\(817\) | 2.64051 | + | 1.69695i | 0.0923797 | + | 0.0593688i | ||||
\(818\) | −10.0467 | + | 3.80995i | −0.351273 | + | 0.133212i | ||||
\(819\) | −18.0096 | − | 5.28811i | −0.629307 | − | 0.184781i | ||||
\(820\) | 12.8808 | + | 14.5407i | 0.449818 | + | 0.507783i | ||||
\(821\) | −18.9224 | − | 21.8376i | −0.660397 | − | 0.762138i | 0.322445 | − | 0.946588i | \(-0.395495\pi\) |
−0.982842 | + | 0.184450i | \(0.940950\pi\) | |||||||
\(822\) | −3.49499 | + | 52.9348i | −0.121902 | + | 1.84631i | ||||
\(823\) | 2.15508 | + | 7.33951i | 0.0751212 | + | 0.255839i | 0.988488 | − | 0.151298i | \(-0.0483453\pi\) |
−0.913367 | + | 0.407137i | \(0.866527\pi\) | |||||||
\(824\) | −22.1677 | − | 7.85616i | −0.772250 | − | 0.273682i | ||||
\(825\) | −2.69564 | − | 0.387574i | −0.0938500 | − | 0.0134936i | ||||
\(826\) | 1.67348 | + | 21.7271i | 0.0582278 | + | 0.755982i | ||||
\(827\) | 13.6082 | 0.473202 | 0.236601 | − | 0.971607i | \(-0.423967\pi\) | ||||
0.236601 | + | 0.971607i | \(0.423967\pi\) | |||||||
\(828\) | −22.5428 | − | 7.04076i | −0.783416 | − | 0.244683i | ||||
\(829\) | 2.98692 | 0.103740 | 0.0518701 | − | 0.998654i | \(-0.483482\pi\) | ||||
0.0518701 | + | 0.998654i | \(0.483482\pi\) | |||||||
\(830\) | 1.81100 | + | 23.5125i | 0.0628606 | + | 0.816130i | ||||
\(831\) | 61.3998 | + | 8.82796i | 2.12994 | + | 0.306239i | ||||
\(832\) | 6.54416 | − | 25.3357i | 0.226878 | − | 0.878359i | ||||
\(833\) | 0.171257 | + | 0.583246i | 0.00593369 | + | 0.0202083i | ||||
\(834\) | −1.79253 | + | 27.1495i | −0.0620703 | + | 0.940111i | ||||
\(835\) | −3.78892 | − | 4.37264i | −0.131121 | − | 0.151322i | ||||
\(836\) | −0.668906 | + | 0.592549i | −0.0231346 | + | 0.0204937i | ||||
\(837\) | −5.15977 | − | 1.51504i | −0.178348 | − | 0.0523676i | ||||
\(838\) | −8.29784 | + | 3.14675i | −0.286644 | + | 0.108703i | ||||
\(839\) | 25.8682 | + | 16.6245i | 0.893069 | + | 0.573940i | 0.904727 | − | 0.425992i | \(-0.140075\pi\) |
−0.0116584 | + | 0.999932i | \(0.503711\pi\) | |||||||
\(840\) | −7.16053 | + | 13.6411i | −0.247062 | + | 0.470664i | ||||
\(841\) | −4.86046 | + | 5.60927i | −0.167602 | + | 0.193423i | ||||
\(842\) | −21.7089 | + | 21.9477i | −0.748138 | + | 0.756369i | ||||
\(843\) | −3.18886 | − | 22.1790i | −0.109830 | − | 0.763885i | ||||
\(844\) | −10.4404 | − | 2.94189i | −0.359375 | − | 0.101264i | ||||
\(845\) | 2.09321 | − | 0.955935i | 0.0720085 | − | 0.0328852i | ||||
\(846\) | 2.46118 | − | 11.6196i | 0.0846171 | − | 0.399489i | ||||
\(847\) | −9.33527 | + | 20.4414i | −0.320764 | + | 0.702374i | ||||
\(848\) | −27.0447 | + | 44.1790i | −0.928718 | + | 1.51711i | ||||
\(849\) | 8.76332 | + | 13.6360i | 0.300756 | + | 0.467986i | ||||
\(850\) | −0.260067 | + | 0.482535i | −0.00892023 | + | 0.0165508i | ||||
\(851\) | 8.67195 | − | 17.6596i | 0.297271 | − | 0.605364i | ||||
\(852\) | 13.1449 | + | 19.9699i | 0.450336 | + | 0.684159i | ||||
\(853\) | −32.3094 | + | 20.7640i | −1.10625 | + | 0.710945i | −0.960473 | − | 0.278372i | \(-0.910205\pi\) |
−0.145779 | + | 0.989317i | \(0.546569\pi\) | |||||||
\(854\) | −4.66547 | − | 3.45286i | −0.159649 | − | 0.118154i | ||||
\(855\) | −0.858800 | − | 0.392201i | −0.0293703 | − | 0.0134130i | ||||
\(856\) | 9.31937 | + | 23.7864i | 0.318530 | + | 0.813002i | ||||
\(857\) | −21.8718 | − | 47.8927i | −0.747128 | − | 1.63598i | −0.771459 | − | 0.636278i | \(-0.780473\pi\) |
0.0243313 | − | 0.999704i | \(-0.492254\pi\) | |||||||
\(858\) | −12.2949 | + | 2.74512i | −0.419740 | + | 0.0937169i | ||||
\(859\) | 0.0189731 | − | 0.00272792i | 0.000647354 | − | 9.30755e-5i | −0.141991 | − | 0.989868i | \(-0.545350\pi\) |
0.142639 | + | 0.989775i | \(0.454441\pi\) | |||||||
\(860\) | 15.6570 | − | 4.78401i | 0.533899 | − | 0.163133i | ||||
\(861\) | −39.9827 | − | 34.6452i | −1.36261 | − | 1.18070i | ||||
\(862\) | 5.67423 | + | 10.2578i | 0.193265 | + | 0.349380i | ||||
\(863\) | 9.27341 | − | 14.4297i | 0.315670 | − | 0.491193i | −0.646770 | − | 0.762685i | \(-0.723881\pi\) |
0.962441 | + | 0.271492i | \(0.0875171\pi\) | |||||||
\(864\) | −7.10311 | − | 0.313053i | −0.241653 | − | 0.0106503i | ||||
\(865\) | 0.207801 | − | 0.707704i | 0.00706543 | − | 0.0240626i | ||||
\(866\) | −44.0371 | − | 16.1511i | −1.49644 | − | 0.548837i | ||||
\(867\) | 29.7616 | − | 25.7886i | 1.01076 | − | 0.875825i | ||||
\(868\) | 16.8942 | + | 10.5978i | 0.573426 | + | 0.359714i | ||||
\(869\) | 3.34501 | − | 0.982183i | 0.113472 | − | 0.0333183i | ||||
\(870\) | 15.9029 | − | 12.0411i | 0.539159 | − | 0.408231i | ||||
\(871\) | 1.46464 | − | 10.1868i | 0.0496273 | − | 0.345166i | ||||
\(872\) | −31.3140 | + | 24.2534i | −1.06042 | + | 0.821323i | ||||
\(873\) | 8.85113i | 0.299565i | ||||||||
\(874\) | 1.29762 | − | 2.25377i | 0.0438925 | − | 0.0762351i | ||||
\(875\) | − | 2.33061i | − | 0.0787889i | ||||||
\(876\) | −14.8180 | + | 33.4095i | −0.500653 | + | 1.12880i | ||||
\(877\) | 3.92851 | − | 27.3234i | 0.132656 | − | 0.922646i | −0.809416 | − | 0.587236i | \(-0.800216\pi\) |
0.942072 | − | 0.335410i | \(-0.108875\pi\) | |||||||
\(878\) | 17.8801 | + | 23.6147i | 0.603426 | + | 0.796956i | ||||
\(879\) | 30.2407 | − | 8.87948i | 1.02000 | − | 0.299498i | ||||
\(880\) | 0.101996 | + | 4.65990i | 0.00343827 | + | 0.157085i | ||||
\(881\) | 16.9017 | − | 14.6454i | 0.569433 | − | 0.493417i | −0.321895 | − | 0.946775i | \(-0.604320\pi\) |
0.891328 | + | 0.453359i | \(0.149774\pi\) | |||||||
\(882\) | −1.88035 | + | 5.12692i | −0.0633148 | + | 0.172632i | ||||
\(883\) | 15.1874 | − | 51.7237i | 0.511098 | − | 1.74064i | −0.148393 | − | 0.988928i | \(-0.547410\pi\) |
0.659491 | − | 0.751712i | \(-0.270772\pi\) | |||||||
\(884\) | −0.333375 | + | 2.51363i | −0.0112126 | + | 0.0845425i | ||||
\(885\) | −8.35401 | + | 12.9991i | −0.280817 | + | 0.436960i | ||||
\(886\) | 33.6213 | − | 18.5981i | 1.12953 | − | 0.624816i | ||||
\(887\) | −7.78183 | − | 6.74299i | −0.261288 | − | 0.226408i | 0.514358 | − | 0.857576i | \(-0.328030\pi\) |
−0.775646 | + | 0.631168i | \(0.782576\pi\) | |||||||
\(888\) | −5.32866 | + | 26.5893i | −0.178818 | + | 0.892278i | ||||
\(889\) | 16.2593 | − | 2.33774i | 0.545320 | − | 0.0784051i | ||||
\(890\) | 1.75941 | + | 7.88008i | 0.0589756 | + | 0.264141i | ||||
\(891\) | 4.99754 | + | 10.9431i | 0.167424 | + | 0.366607i | ||||
\(892\) | −28.4360 | + | 33.5518i | −0.952107 | + | 1.12340i | ||||
\(893\) | 1.18972 | + | 0.543328i | 0.0398126 | + | 0.0181818i | ||||
\(894\) | −19.3771 | + | 26.1821i | −0.648066 | + | 0.875661i | ||||
\(895\) | −8.90534 | + | 5.72311i | −0.297673 | + | 0.191303i | ||||
\(896\) | 25.0400 | + | 8.26192i | 0.836528 | + | 0.276011i | ||||
\(897\) | 31.3863 | − | 18.9475i | 1.04796 | − | 0.632639i | ||||
\(898\) | −42.1842 | − | 22.7356i | −1.40771 | − | 0.758697i | ||||
\(899\) | −13.9600 | − | 21.7222i | −0.465592 | − | 0.724475i | ||||
\(900\) | −4.45676 | + | 2.09457i | −0.148559 | + | 0.0698191i | ||||
\(901\) | 2.08515 | − | 4.56585i | 0.0694665 | − | 0.152110i | ||||
\(902\) | −15.6583 | − | 3.31665i | −0.521366 | − | 0.110432i | ||||
\(903\) | −40.5582 | + | 18.5223i | −1.34969 | + | 0.616385i | ||||
\(904\) | 22.9793 | + | 22.2371i | 0.764281 | + | 0.739595i | ||||
\(905\) | −1.40096 | − | 9.74390i | −0.0465695 | − | 0.323898i | ||||
\(906\) | 5.85944 | + | 5.79568i | 0.194667 | + | 0.192548i | ||||
\(907\) | 1.25122 | − | 1.44399i | 0.0415462 | − | 0.0479469i | −0.734596 | − | 0.678505i | \(-0.762628\pi\) |
0.776142 | + | 0.630558i | \(0.217174\pi\) | |||||||
\(908\) | 0.00873067 | + | 0.797855i | 0.000289737 | + | 0.0264778i | ||||
\(909\) | −38.1135 | − | 24.4940i | −1.26414 | − | 0.812416i | ||||
\(910\) | −3.82272 | − | 10.0803i | −0.126722 | − | 0.334160i | ||||
\(911\) | 4.35459 | + | 1.27862i | 0.144274 | + | 0.0423627i | 0.353072 | − | 0.935596i | \(-0.385137\pi\) |
−0.208798 | + | 0.977959i | \(0.566955\pi\) | |||||||
\(912\) | −0.934402 | + | 3.46071i | −0.0309412 | + | 0.114596i | ||||
\(913\) | −12.7244 | − | 14.6847i | −0.421116 | − | 0.485994i | ||||
\(914\) | −8.82871 | − | 0.582910i | −0.292028 | − | 0.0192810i | ||||
\(915\) | −1.15953 | − | 3.94898i | −0.0383327 | − | 0.130549i | ||||
\(916\) | 5.28638 | + | 34.1134i | 0.174667 | + | 1.12714i | ||||
\(917\) | 46.0162 | + | 6.61612i | 1.51959 | + | 0.218484i | ||||
\(918\) | 0.686934 | − | 0.0529095i | 0.0226722 | − | 0.00174627i | ||||
\(919\) | 30.1572 | 0.994794 | 0.497397 | − | 0.867523i | \(-0.334289\pi\) | ||||
0.497397 | + | 0.867523i | \(0.334289\pi\) | |||||||
\(920\) | −4.59187 | − | 12.7638i | −0.151389 | − | 0.420810i | ||||
\(921\) | −49.6201 | −1.63504 | ||||||||
\(922\) | −31.3234 | + | 2.41262i | −1.03158 | + | 0.0794553i | ||||
\(923\) | −16.5597 | − | 2.38092i | −0.545068 | − | 0.0783690i | ||||
\(924\) | −1.94394 | − | 12.5444i | −0.0639510 | − | 0.412681i | ||||
\(925\) | −1.15575 | − | 3.93613i | −0.0380009 | − | 0.129419i | ||||
\(926\) | 16.1118 | + | 1.06377i | 0.529466 | + | 0.0349577i | ||||
\(927\) | 13.4073 | + | 15.4729i | 0.440354 | + | 0.508196i | ||||
\(928\) | −24.7916 | − | 23.4710i | −0.813823 | − | 0.770473i | ||||
\(929\) | 2.00296 | + | 0.588121i | 0.0657149 | + | 0.0192956i | 0.314425 | − | 0.949282i | \(-0.398188\pi\) |
−0.248710 | + | 0.968578i | \(0.580007\pi\) | |||||||
\(930\) | 5.01433 | + | 13.2226i | 0.164427 | + | 0.433585i | ||||
\(931\) | −0.505881 | − | 0.325110i | −0.0165796 | − | 0.0106551i | ||||
\(932\) | −0.224349 | − | 20.5022i | −0.00734881 | − | 0.671573i | ||||
\(933\) | 17.8153 | − | 20.5599i | 0.583245 | − | 0.673101i | ||||
\(934\) | −18.0014 | − | 17.8055i | −0.589024 | − | 0.582614i | ||||
\(935\) | −0.0642776 | − | 0.447061i | −0.00210210 | − | 0.0146204i | ||||
\(936\) | −15.8408 | + | 16.3695i | −0.517773 | + | 0.535055i | ||||
\(937\) | −18.4349 | + | 8.41895i | −0.602243 | + | 0.275035i | −0.693114 | − | 0.720828i | \(-0.743762\pi\) |
0.0908717 | + | 0.995863i | \(0.471035\pi\) | |||||||
\(938\) | 10.1453 | + | 2.14891i | 0.331256 | + | 0.0701645i | ||||
\(939\) | −9.69464 | + | 21.2283i | −0.316373 | + | 0.692760i | ||||
\(940\) | 6.17410 | − | 2.90168i | 0.201377 | − | 0.0946423i | ||||
\(941\) | 2.30621 | + | 3.58853i | 0.0751803 | + | 0.116983i | 0.876808 | − | 0.480841i | \(-0.159669\pi\) |
−0.801628 | + | 0.597824i | \(0.796032\pi\) | |||||||
\(942\) | −24.8903 | − | 13.4149i | −0.810971 | − | 0.437081i | ||||
\(943\) | 46.2743 | − | 5.33236i | 1.50690 | − | 0.173645i | ||||
\(944\) | 24.2909 | + | 10.4571i | 0.790601 | + | 0.340348i | ||||
\(945\) | −2.46428 | + | 1.58370i | −0.0801632 | + | 0.0515178i | ||||
\(946\) | −8.02474 | + | 10.8430i | −0.260907 | + | 0.352535i | ||||
\(947\) | −33.0305 | − | 15.0845i | −1.07335 | − | 0.490181i | −0.201263 | − | 0.979537i | \(-0.564505\pi\) |
−0.872084 | + | 0.489356i | \(0.837232\pi\) | |||||||
\(948\) | 9.04176 | − | 10.6684i | 0.293663 | − | 0.346494i | ||||
\(949\) | −10.6243 | − | 23.2641i | −0.344881 | − | 0.755183i | ||||
\(950\) | −0.118165 | − | 0.529239i | −0.00383378 | − | 0.0171708i | ||||
\(951\) | −75.0057 | + | 10.7842i | −2.43223 | + | 0.349702i | ||||
\(952\) | −2.50526 | − | 0.502070i | −0.0811960 | − | 0.0162722i | ||||
\(953\) | −21.4796 | − | 18.6122i | −0.695792 | − | 0.602907i | 0.233455 | − | 0.972368i | \(-0.424997\pi\) |
−0.929246 | + | 0.369461i | \(0.879542\pi\) | |||||||
\(954\) | 39.4581 | − | 21.8269i | 1.27750 | − | 0.706671i | ||||
\(955\) | −12.7941 | + | 19.9080i | −0.414008 | + | 0.644209i | ||||
\(956\) | −1.09747 | + | 8.27486i | −0.0354947 | + | 0.267628i | ||||
\(957\) | −4.63046 | + | 15.7699i | −0.149682 | + | 0.509768i | ||||
\(958\) | −20.0668 | + | 54.7136i | −0.648330 | + | 1.76772i | ||||
\(959\) | 28.2705 | − | 24.4965i | 0.912902 | − | 0.791034i | ||||
\(960\) | 10.6192 | + | 15.3888i | 0.342734 | + | 0.496670i | ||||
\(961\) | −12.1801 | + | 3.57639i | −0.392905 | + | 0.115367i | ||||
\(962\) | −11.4550 | − | 15.1289i | −0.369324 | − | 0.487774i | ||||
\(963\) | 3.16496 | − | 22.0128i | 0.101990 | − | 0.709353i | ||||
\(964\) | −14.4094 | + | 32.4883i | −0.464096 | + | 1.04638i | ||||
\(965\) | 19.3706i | 0.623561i | ||||||||
\(966\) | 16.9676 | + | 32.8159i | 0.545924 | + | 1.05584i | ||||
\(967\) | − | 17.0391i | − | 0.547940i | −0.961738 | − | 0.273970i | \(-0.911663\pi\) | ||
0.961738 | − | 0.273970i | \(-0.0883370\pi\) | |||||||
\(968\) | 16.6998 | + | 21.5614i | 0.536751 | + | 0.693008i | ||||
\(969\) | 0.0494339 | − | 0.343820i | 0.00158804 | − | 0.0110451i | ||||
\(970\) | −4.05306 | + | 3.06883i | −0.130136 | + | 0.0985341i | ||||
\(971\) | 40.5085 | − | 11.8944i | 1.29998 | − | 0.381708i | 0.442750 | − | 0.896645i | \(-0.354003\pi\) |
0.857228 | + | 0.514937i | \(0.172185\pi\) | |||||||
\(972\) | 34.4918 | + | 21.6369i | 1.10633 | + | 0.694005i | ||||
\(973\) | 14.4996 | − | 12.5639i | 0.464834 | − | 0.402781i | ||||
\(974\) | 46.2576 | + | 16.9655i | 1.48219 | + | 0.543609i | ||||
\(975\) | 2.15372 | − | 7.33491i | 0.0689743 | − | 0.234905i | ||||
\(976\) | −6.34188 | + | 3.06569i | −0.202999 | + | 0.0981304i | ||||
\(977\) | −0.864396 | + | 1.34503i | −0.0276545 | + | 0.0430312i | −0.854806 | − | 0.518948i | \(-0.826324\pi\) |
0.827151 | + | 0.561980i | \(0.189960\pi\) | |||||||
\(978\) | −6.16948 | − | 11.1531i | −0.197278 | − | 0.356635i | ||||
\(979\) | −5.02779 | − | 4.35661i | −0.160689 | − | 0.139238i | ||||
\(980\) | −2.99964 | + | 0.916542i | −0.0958200 | + | 0.0292779i | ||||
\(981\) | 34.1287 | − | 4.90697i | 1.08965 | − | 0.156667i | ||||
\(982\) | 25.9516 | − | 5.79431i | 0.828150 | − | 0.184904i | ||||
\(983\) | −11.9067 | − | 26.0720i | −0.379765 | − | 0.831569i | −0.998927 | − | 0.0463059i | \(-0.985255\pi\) |
0.619163 | − | 0.785263i | \(-0.287472\pi\) | |||||||
\(984\) | −59.7806 | + | 23.4217i | −1.90574 | + | 0.746657i | ||||
\(985\) | −13.6546 | − | 6.23585i | −0.435072 | − | 0.198691i | ||||
\(986\) | 2.65913 | + | 1.96799i | 0.0846839 | + | 0.0626736i | ||||
\(987\) | −15.6300 | + | 10.0448i | −0.497509 | + | 0.319730i | ||||
\(988\) | −1.37916 | − | 2.09525i | −0.0438769 | − | 0.0666587i | ||||
\(989\) | 12.1131 | − | 37.3421i | 0.385173 | − | 1.18741i | ||||
\(990\) | 1.92505 | − | 3.57179i | 0.0611821 | − | 0.113519i | ||||
\(991\) | 17.7667 | + | 27.6454i | 0.564376 | + | 0.878187i | 0.999757 | − | 0.0220600i | \(-0.00702247\pi\) |
−0.435380 | + | 0.900247i | \(0.643386\pi\) | |||||||
\(992\) | 20.9172 | − | 12.1759i | 0.664122 | − | 0.386586i | ||||
\(993\) | 23.0762 | − | 50.5297i | 0.732300 | − | 1.60351i | ||||
\(994\) | 3.49328 | − | 16.4923i | 0.110800 | − | 0.523103i | ||||
\(995\) | −7.16753 | + | 3.27330i | −0.227226 | + | 0.103771i | ||||
\(996\) | −75.0224 | − | 21.1397i | −2.37718 | − | 0.669837i | ||||
\(997\) | 3.42308 | + | 23.8081i | 0.108410 | + | 0.754009i | 0.969418 | + | 0.245417i | \(0.0789248\pi\) |
−0.861008 | + | 0.508592i | \(0.830166\pi\) | |||||||
\(998\) | 20.3094 | − | 20.5329i | 0.642883 | − | 0.649957i | ||||
\(999\) | −3.37654 | + | 3.89673i | −0.106829 | + | 0.123287i |
(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 | 460.2.q.a.11.2 | ✓ | 480 | |
4.3 | odd | 2 | inner | 460.2.q.a.11.15 | yes | 480 | |
23.21 | odd | 22 | inner | 460.2.q.a.251.15 | yes | 480 | |
92.67 | even | 22 | inner | 460.2.q.a.251.2 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
460.2.q.a.11.2 | ✓ | 480 | 1.1 | even | 1 | trivial | |
460.2.q.a.11.15 | yes | 480 | 4.3 | odd | 2 | inner | |
460.2.q.a.251.2 | yes | 480 | 92.67 | even | 22 | inner | |
460.2.q.a.251.15 | yes | 480 | 23.21 | odd | 22 | inner |