Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [161,2,Mod(2,161)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(161, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([22, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("161.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 161 = 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 161.m (of order \(33\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.28559147254\) |
Analytic rank: | \(0\) |
Dimension: | \(280\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 100.11 | ||
Character | \(\chi\) | \(=\) | 161.100 |
Dual form | 161.2.m.a.95.11 |
$q$-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 \(\left(\mathbb{Z}/161\mathbb{Z}\right)^\times\).
\(n\) | \(24\) | \(120\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.10428 | + | 0.868418i | 0.780846 | + | 0.614064i | 0.926941 | − | 0.375206i | \(-0.122428\pi\) |
−0.146095 | + | 0.989271i | \(0.546671\pi\) | |||||||
\(3\) | −0.310664 | + | 0.436266i | −0.179362 | + | 0.251878i | −0.894462 | − | 0.447143i | \(-0.852441\pi\) |
0.715101 | + | 0.699022i | \(0.246381\pi\) | |||||||
\(4\) | −0.00622628 | − | 0.0256651i | −0.00311314 | − | 0.0128325i | ||||
\(5\) | 3.76678 | − | 0.725987i | 1.68455 | − | 0.324671i | 0.744998 | − | 0.667066i | \(-0.232450\pi\) |
0.939556 | + | 0.342395i | \(0.111238\pi\) | |||||||
\(6\) | −0.721922 | + | 0.211976i | −0.294724 | + | 0.0865386i | ||||
\(7\) | −2.57048 | − | 0.626615i | −0.971549 | − | 0.236838i | ||||
\(8\) | 1.18260 | − | 2.58953i | 0.418112 | − | 0.915538i | ||||
\(9\) | 0.887388 | + | 2.56394i | 0.295796 | + | 0.854646i | ||||
\(10\) | 4.79005 | + | 2.46944i | 1.51475 | + | 0.780906i | ||||
\(11\) | −1.38924 | + | 1.09251i | −0.418873 | + | 0.329405i | −0.805250 | − | 0.592936i | \(-0.797969\pi\) |
0.386377 | + | 0.922341i | \(0.373726\pi\) | |||||||
\(12\) | 0.0131311 | + | 0.00525690i | 0.00379062 | + | 0.00151754i | ||||
\(13\) | −4.88923 | + | 3.14212i | −1.35603 | + | 0.871466i | −0.998060 | − | 0.0622672i | \(-0.980167\pi\) |
−0.357969 | + | 0.933734i | \(0.616531\pi\) | |||||||
\(14\) | −2.29437 | − | 2.92421i | −0.613197 | − | 0.781528i | ||||
\(15\) | −0.853478 | + | 1.86886i | −0.220367 | + | 0.482537i | ||||
\(16\) | 3.50777 | − | 1.80838i | 0.876944 | − | 0.452096i | ||||
\(17\) | −1.89689 | − | 1.80868i | −0.460063 | − | 0.438669i | 0.424263 | − | 0.905539i | \(-0.360533\pi\) |
−0.884326 | + | 0.466870i | \(0.845382\pi\) | |||||||
\(18\) | −1.24664 | + | 3.60194i | −0.293836 | + | 0.848985i | ||||
\(19\) | −0.993358 | + | 0.947165i | −0.227892 | + | 0.217295i | −0.795419 | − | 0.606061i | \(-0.792749\pi\) |
0.567527 | + | 0.823355i | \(0.307900\pi\) | |||||||
\(20\) | −0.0420855 | − | 0.0921545i | −0.00941061 | − | 0.0206064i | ||||
\(21\) | 1.07193 | − | 0.926746i | 0.233913 | − | 0.202233i | ||||
\(22\) | −2.48288 | −0.529351 | ||||||||
\(23\) | 2.40489 | − | 4.14928i | 0.501454 | − | 0.865184i | ||||
\(24\) | 0.762335 | + | 1.32040i | 0.155611 | + | 0.269526i | ||||
\(25\) | 9.01972 | − | 3.61095i | 1.80394 | − | 0.722191i | ||||
\(26\) | −8.12776 | − | 0.776107i | −1.59399 | − | 0.152207i | ||||
\(27\) | −2.93588 | − | 0.862052i | −0.565010 | − | 0.165902i | ||||
\(28\) | −7.75999e−5 | 0.0698730i | −1.46650e−5 | 0.0132048i | ||||||
\(29\) | 2.91571 | − | 0.856131i | 0.541435 | − | 0.158980i | 0.000431156 | − | 1.00000i | \(-0.499863\pi\) |
0.541003 | + | 0.841020i | \(0.318045\pi\) | |||||||
\(30\) | −2.56543 | + | 1.32257i | −0.468381 | + | 0.241467i | ||||
\(31\) | −7.51259 | + | 0.717366i | −1.34930 | + | 0.128843i | −0.744547 | − | 0.667570i | \(-0.767335\pi\) |
−0.604754 | + | 0.796412i | \(0.706729\pi\) | |||||||
\(32\) | −0.146685 | − | 0.0282713i | −0.0259306 | − | 0.00499771i | ||||
\(33\) | −0.0450390 | − | 0.945485i | −0.00784028 | − | 0.164588i | ||||
\(34\) | −0.524012 | − | 3.64458i | −0.0898673 | − | 0.625041i | ||||
\(35\) | −10.1373 | − | 0.494185i | −1.71352 | − | 0.0835326i | ||||
\(36\) | 0.0602786 | − | 0.0387387i | 0.0100464 | − | 0.00645645i | ||||
\(37\) | −0.296923 | − | 0.857903i | −0.0488139 | − | 0.141038i | 0.917959 | − | 0.396675i | \(-0.129836\pi\) |
−0.966773 | + | 0.255637i | \(0.917715\pi\) | |||||||
\(38\) | −1.91948 | + | 0.183288i | −0.311381 | + | 0.0297333i | ||||
\(39\) | 0.148107 | − | 3.10915i | 0.0237161 | − | 0.497862i | ||||
\(40\) | 2.57463 | − | 10.6128i | 0.407084 | − | 1.67802i | ||||
\(41\) | 3.22423 | + | 3.72097i | 0.503541 | + | 0.581117i | 0.949433 | − | 0.313970i | \(-0.101659\pi\) |
−0.445892 | + | 0.895087i | \(0.647114\pi\) | |||||||
\(42\) | 1.98851 | − | 0.0925112i | 0.306834 | − | 0.0142748i | ||||
\(43\) | −0.291383 | − | 0.638041i | −0.0444356 | − | 0.0973003i | 0.886112 | − | 0.463471i | \(-0.153396\pi\) |
−0.930548 | + | 0.366170i | \(0.880669\pi\) | |||||||
\(44\) | 0.0366893 | + | 0.0288528i | 0.00553112 | + | 0.00434972i | ||||
\(45\) | 5.20398 | + | 9.01356i | 0.775763 | + | 1.34366i | ||||
\(46\) | 6.25898 | − | 2.49353i | 0.922837 | − | 0.367651i | ||||
\(47\) | −0.390874 | + | 0.677013i | −0.0570148 | + | 0.0987525i | −0.893124 | − | 0.449810i | \(-0.851492\pi\) |
0.836109 | + | 0.548563i | \(0.184825\pi\) | |||||||
\(48\) | −0.300802 | + | 2.09212i | −0.0434170 | + | 0.301972i | ||||
\(49\) | 6.21471 | + | 3.22140i | 0.887815 | + | 0.460200i | ||||
\(50\) | 13.0961 | + | 3.84538i | 1.85207 | + | 0.543818i | ||||
\(51\) | 1.37836 | − | 0.265657i | 0.193009 | − | 0.0371994i | ||||
\(52\) | 0.111084 | + | 0.105919i | 0.0154046 | + | 0.0146883i | ||||
\(53\) | −0.0886437 | + | 1.86086i | −0.0121762 | + | 0.255609i | 0.984569 | + | 0.174995i | \(0.0559910\pi\) |
−0.996745 | + | 0.0806136i | \(0.974312\pi\) | |||||||
\(54\) | −2.49342 | − | 3.50152i | −0.339312 | − | 0.476496i | ||||
\(55\) | −4.43982 | + | 5.12383i | −0.598666 | + | 0.690897i | ||||
\(56\) | −4.66249 | + | 5.91530i | −0.623051 | + | 0.790465i | ||||
\(57\) | −0.104616 | − | 0.727619i | −0.0138567 | − | 0.0963754i | ||||
\(58\) | 3.96325 | + | 1.58665i | 0.520401 | + | 0.208337i | ||||
\(59\) | 1.87886 | + | 0.968617i | 0.244606 | + | 0.126103i | 0.576171 | − | 0.817329i | \(-0.304546\pi\) |
−0.331565 | + | 0.943432i | \(0.607577\pi\) | |||||||
\(60\) | 0.0532784 | + | 0.0102686i | 0.00687821 | + | 0.00132567i | ||||
\(61\) | −5.02981 | − | 7.06338i | −0.644001 | − | 0.904373i | 0.355540 | − | 0.934661i | \(-0.384297\pi\) |
−0.999541 | + | 0.0302880i | \(0.990358\pi\) | |||||||
\(62\) | −8.91900 | − | 5.73189i | −1.13271 | − | 0.727951i | ||||
\(63\) | −0.674409 | − | 7.14659i | −0.0849675 | − | 0.900386i | ||||
\(64\) | −5.30623 | − | 6.12371i | −0.663278 | − | 0.765464i | ||||
\(65\) | −16.1355 | + | 15.3852i | −2.00136 | + | 1.90830i | ||||
\(66\) | 0.771340 | − | 1.08320i | 0.0949454 | − | 0.133332i | ||||
\(67\) | 11.8398 | − | 4.73992i | 1.44646 | − | 0.579074i | 0.490202 | − | 0.871609i | \(-0.336923\pi\) |
0.956255 | + | 0.292535i | \(0.0944988\pi\) | |||||||
\(68\) | −0.0346093 | + | 0.0599451i | −0.00419700 | + | 0.00726941i | ||||
\(69\) | 1.06308 | + | 2.33820i | 0.127980 | + | 0.281487i | ||||
\(70\) | −10.7653 | − | 9.34916i | −1.28670 | − | 1.11744i | ||||
\(71\) | −1.96678 | + | 13.6792i | −0.233414 | + | 1.62343i | 0.449744 | + | 0.893157i | \(0.351515\pi\) |
−0.683158 | + | 0.730271i | \(0.739394\pi\) | |||||||
\(72\) | 7.68883 | + | 0.734194i | 0.906137 | + | 0.0865256i | ||||
\(73\) | 0.119907 | + | 0.494262i | 0.0140340 | + | 0.0578490i | 0.978398 | − | 0.206730i | \(-0.0662822\pi\) |
−0.964364 | + | 0.264579i | \(0.914767\pi\) | |||||||
\(74\) | 0.417131 | − | 1.20522i | 0.0484905 | − | 0.140104i | ||||
\(75\) | −1.22677 | + | 5.05680i | −0.141655 | + | 0.583908i | ||||
\(76\) | 0.0304940 | + | 0.0195973i | 0.00349790 | + | 0.00224796i | ||||
\(77\) | 4.25560 | − | 1.93776i | 0.484971 | − | 0.220828i | ||||
\(78\) | 2.86359 | − | 3.30476i | 0.324238 | − | 0.374190i | ||||
\(79\) | −0.0770734 | − | 1.61797i | −0.00867143 | − | 0.182036i | −0.999048 | − | 0.0436339i | \(-0.986106\pi\) |
0.990376 | − | 0.138402i | \(-0.0441966\pi\) | |||||||
\(80\) | 11.9001 | − | 9.35838i | 1.33048 | − | 1.04630i | ||||
\(81\) | −5.10991 | + | 4.01847i | −0.567767 | + | 0.446497i | ||||
\(82\) | 0.329115 | + | 6.90898i | 0.0363447 | + | 0.762969i | ||||
\(83\) | 0.916077 | − | 1.05721i | 0.100552 | − | 0.116044i | −0.703243 | − | 0.710950i | \(-0.748265\pi\) |
0.803795 | + | 0.594906i | \(0.202811\pi\) | |||||||
\(84\) | −0.0304591 | − | 0.0217409i | −0.00332336 | − | 0.00237212i | ||||
\(85\) | −8.45823 | − | 5.43578i | −0.917424 | − | 0.589593i | ||||
\(86\) | 0.232316 | − | 0.957620i | 0.0250513 | − | 0.103263i | ||||
\(87\) | −0.532306 | + | 1.53800i | −0.0570692 | + | 0.164891i | ||||
\(88\) | 1.18618 | + | 4.88950i | 0.126447 | + | 0.521222i | ||||
\(89\) | 18.5244 | + | 1.76886i | 1.96358 | + | 0.187499i | 0.997495 | − | 0.0707326i | \(-0.0225337\pi\) |
0.966083 | + | 0.258232i | \(0.0831398\pi\) | |||||||
\(90\) | −2.08087 | + | 14.4727i | −0.219343 | + | 1.52556i | ||||
\(91\) | 14.5365 | − | 5.01308i | 1.52384 | − | 0.525513i | ||||
\(92\) | −0.121465 | − | 0.0358871i | −0.0126636 | − | 0.00374148i | ||||
\(93\) | 2.02093 | − | 3.50035i | 0.209561 | − | 0.362969i | ||||
\(94\) | −1.01957 | + | 0.408173i | −0.105160 | + | 0.0420998i | ||||
\(95\) | −3.05413 | + | 4.28893i | −0.313347 | + | 0.440034i | ||||
\(96\) | 0.0579037 | − | 0.0552111i | 0.00590977 | − | 0.00563495i | ||||
\(97\) | −2.28621 | − | 2.63843i | −0.232130 | − | 0.267892i | 0.627720 | − | 0.778439i | \(-0.283988\pi\) |
−0.859850 | + | 0.510547i | \(0.829443\pi\) | |||||||
\(98\) | 4.06528 | + | 8.95430i | 0.410655 | + | 0.904521i | ||||
\(99\) | −4.03393 | − | 2.59245i | −0.405426 | − | 0.260551i | ||||
\(100\) | −0.148835 | − | 0.209009i | −0.0148835 | − | 0.0209009i | ||||
\(101\) | −13.0784 | − | 2.52065i | −1.30135 | − | 0.250814i | −0.508937 | − | 0.860804i | \(-0.669961\pi\) |
−0.792409 | + | 0.609990i | \(0.791173\pi\) | |||||||
\(102\) | 1.75280 | + | 0.903632i | 0.173553 | + | 0.0894729i | ||||
\(103\) | 13.9092 | + | 5.56842i | 1.37052 | + | 0.548673i | 0.936003 | − | 0.351991i | \(-0.114495\pi\) |
0.434515 | + | 0.900664i | \(0.356920\pi\) | |||||||
\(104\) | 2.35461 | + | 16.3767i | 0.230889 | + | 1.60587i | ||||
\(105\) | 3.36490 | − | 4.26905i | 0.328381 | − | 0.416617i | ||||
\(106\) | −1.71389 | + | 1.97794i | −0.166468 | + | 0.192114i | ||||
\(107\) | 0.292447 | + | 0.410684i | 0.0282719 | + | 0.0397023i | 0.828470 | − | 0.560033i | \(-0.189212\pi\) |
−0.800198 | + | 0.599736i | \(0.795272\pi\) | |||||||
\(108\) | −0.00384502 | + | 0.0807170i | −0.000369988 | + | 0.00776699i | ||||
\(109\) | 12.1339 | + | 11.5697i | 1.16222 | + | 1.10818i | 0.992445 | + | 0.122693i | \(0.0391530\pi\) |
0.169776 | + | 0.985483i | \(0.445695\pi\) | |||||||
\(110\) | −9.35245 | + | 1.80254i | −0.891721 | + | 0.171865i | ||||
\(111\) | 0.466517 | + | 0.136982i | 0.0442799 | + | 0.0130017i | ||||
\(112\) | −10.1498 | + | 2.45039i | −0.959067 | + | 0.231540i | ||||
\(113\) | 2.30601 | − | 16.0387i | 0.216931 | − | 1.50879i | −0.532342 | − | 0.846529i | \(-0.678688\pi\) |
0.749273 | − | 0.662261i | \(-0.230403\pi\) | |||||||
\(114\) | 0.516351 | − | 0.894347i | 0.0483607 | − | 0.0837633i | ||||
\(115\) | 6.04636 | − | 17.3753i | 0.563826 | − | 1.62026i | ||||
\(116\) | −0.0401267 | − | 0.0695015i | −0.00372567 | − | 0.00645306i | ||||
\(117\) | −12.3948 | − | 9.74740i | −1.14590 | − | 0.901148i | ||||
\(118\) | 1.23362 | + | 2.70126i | 0.113564 | + | 0.248671i | ||||
\(119\) | 3.74256 | + | 5.83778i | 0.343080 | + | 0.535149i | ||||
\(120\) | 3.83014 | + | 4.42022i | 0.349643 | + | 0.403509i | ||||
\(121\) | −1.85694 | + | 7.65439i | −0.168812 | + | 0.695854i | ||||
\(122\) | 0.579631 | − | 12.1679i | 0.0524773 | − | 1.10163i | ||||
\(123\) | −2.62499 | + | 0.250656i | −0.236687 | + | 0.0226009i | ||||
\(124\) | 0.0651868 | + | 0.188345i | 0.00585394 | + | 0.0169139i | ||||
\(125\) | 15.2181 | − | 9.78010i | 1.36115 | − | 0.874759i | ||||
\(126\) | 5.46149 | − | 8.47753i | 0.486548 | − | 0.755239i | ||||
\(127\) | −1.41746 | − | 9.85865i | −0.125779 | − | 0.874813i | −0.950821 | − | 0.309741i | \(-0.899758\pi\) |
0.825042 | − | 0.565072i | \(-0.191152\pi\) | |||||||
\(128\) | −0.527420 | − | 11.0719i | −0.0466177 | − | 0.978627i | ||||
\(129\) | 0.368878 | + | 0.0710954i | 0.0324779 | + | 0.00625960i | ||||
\(130\) | −31.1789 | + | 2.97723i | −2.73457 | + | 0.261120i | ||||
\(131\) | −9.33980 | + | 4.81500i | −0.816022 | + | 0.420689i | −0.815107 | − | 0.579311i | \(-0.803322\pi\) |
−0.000915544 | 1.00000i | \(0.500291\pi\) | ||||||||
\(132\) | −0.0239855 | + | 0.00704278i | −0.00208767 | + | 0.000612996i | ||||
\(133\) | 3.14691 | − | 1.81221i | 0.272872 | − | 0.157139i | ||||
\(134\) | 17.1907 | + | 5.04764i | 1.48505 | + | 0.436050i | ||||
\(135\) | −11.6846 | − | 1.11575i | −1.00565 | − | 0.0960284i | ||||
\(136\) | −6.92689 | + | 2.77311i | −0.593976 | + | 0.237792i | ||||
\(137\) | −6.07163 | − | 10.5164i | −0.518734 | − | 0.898474i | −0.999763 | − | 0.0217692i | \(-0.993070\pi\) |
0.481029 | − | 0.876705i | \(-0.340263\pi\) | |||||||
\(138\) | −0.856597 | + | 3.50523i | −0.0729183 | + | 0.298385i | ||||
\(139\) | 14.1108 | 1.19686 | 0.598432 | − | 0.801174i | \(-0.295791\pi\) | ||||
0.598432 | + | 0.801174i | \(0.295791\pi\) | |||||||
\(140\) | 0.0504346 | + | 0.263252i | 0.00426250 | + | 0.0222489i | ||||
\(141\) | −0.173928 | − | 0.380849i | −0.0146474 | − | 0.0320732i | ||||
\(142\) | −14.0512 | + | 13.3978i | −1.17915 | + | 1.12432i | ||||
\(143\) | 3.35953 | − | 9.70671i | 0.280938 | − | 0.811716i | ||||
\(144\) | 7.74934 | + | 7.38898i | 0.645778 | + | 0.615748i | ||||
\(145\) | 10.3613 | − | 5.34163i | 0.860460 | − | 0.443598i | ||||
\(146\) | −0.296815 | + | 0.649935i | −0.0245646 | + | 0.0537890i | ||||
\(147\) | −3.33607 | + | 1.71050i | −0.275155 | + | 0.141079i | ||||
\(148\) | −0.0201694 | + | 0.0129621i | −0.00165792 | + | 0.00106548i | ||||
\(149\) | 11.0841 | + | 4.43741i | 0.908046 | + | 0.363527i | 0.778207 | − | 0.628008i | \(-0.216130\pi\) |
0.129839 | + | 0.991535i | \(0.458554\pi\) | |||||||
\(150\) | −5.74611 | + | 4.51879i | −0.469168 | + | 0.368958i | ||||
\(151\) | −12.0910 | − | 6.23335i | −0.983953 | − | 0.507263i | −0.110345 | − | 0.993893i | \(-0.535196\pi\) |
−0.873608 | + | 0.486630i | \(0.838226\pi\) | |||||||
\(152\) | 1.27797 | + | 3.69245i | 0.103657 | + | 0.299497i | ||||
\(153\) | 2.95407 | − | 6.46850i | 0.238822 | − | 0.522947i | ||||
\(154\) | 6.38218 | + | 1.55581i | 0.514291 | + | 0.125370i | ||||
\(155\) | −27.7775 | + | 8.15620i | −2.23114 | + | 0.655122i | ||||
\(156\) | −0.0807187 | + | 0.0155573i | −0.00646267 | + | 0.00124558i | ||||
\(157\) | 1.67143 | + | 6.88973i | 0.133395 | + | 0.549860i | 0.998808 | + | 0.0488025i | \(0.0155405\pi\) |
−0.865414 | + | 0.501058i | \(0.832944\pi\) | |||||||
\(158\) | 1.31996 | − | 1.85363i | 0.105011 | − | 0.147467i | ||||
\(159\) | −0.784293 | − | 0.616774i | −0.0621984 | − | 0.0489134i | ||||
\(160\) | −0.573056 | −0.0453041 | ||||||||
\(161\) | −8.78171 | + | 9.15869i | −0.692096 | + | 0.721806i | ||||
\(162\) | −9.13250 | −0.717517 | ||||||||
\(163\) | −2.77683 | − | 2.18372i | −0.217498 | − | 0.171042i | 0.503465 | − | 0.864015i | \(-0.332058\pi\) |
−0.720964 | + | 0.692973i | \(0.756301\pi\) | |||||||
\(164\) | 0.0754239 | − | 0.105918i | 0.00588962 | − | 0.00827081i | ||||
\(165\) | −0.856062 | − | 3.52873i | −0.0666443 | − | 0.274712i | ||||
\(166\) | 1.92971 | − | 0.371920i | 0.149774 | − | 0.0288666i | ||||
\(167\) | 8.17202 | − | 2.39952i | 0.632370 | − | 0.185681i | 0.0501891 | − | 0.998740i | \(-0.484018\pi\) |
0.582181 | + | 0.813059i | \(0.302199\pi\) | |||||||
\(168\) | −1.13218 | − | 3.87176i | −0.0873497 | − | 0.298712i | ||||
\(169\) | 8.63127 | − | 18.8998i | 0.663944 | − | 1.45383i | ||||
\(170\) | −4.61976 | − | 13.3479i | −0.354319 | − | 1.02374i | ||||
\(171\) | −3.30997 | − | 1.70641i | −0.253119 | − | 0.130492i | ||||
\(172\) | −0.0145611 | + | 0.0114510i | −0.00111028 | + | 0.000873131i | ||||
\(173\) | −7.41566 | − | 2.96878i | −0.563802 | − | 0.225712i | 0.0722126 | − | 0.997389i | \(-0.476994\pi\) |
−0.636015 | + | 0.771677i | \(0.719418\pi\) | |||||||
\(174\) | −1.92344 | + | 1.23612i | −0.145816 | + | 0.0937100i | ||||
\(175\) | −25.4477 | + | 3.62998i | −1.92366 | + | 0.274401i | ||||
\(176\) | −2.89747 | + | 6.34458i | −0.218405 | + | 0.478240i | ||||
\(177\) | −1.00627 | + | 0.518767i | −0.0756357 | + | 0.0389929i | ||||
\(178\) | 18.9200 | + | 18.0402i | 1.41812 | + | 1.35217i | ||||
\(179\) | −4.08633 | + | 11.8067i | −0.305427 | + | 0.882473i | 0.682952 | + | 0.730463i | \(0.260696\pi\) |
−0.988379 | + | 0.152010i | \(0.951426\pi\) | |||||||
\(180\) | 0.198932 | − | 0.189681i | 0.0148275 | − | 0.0141380i | ||||
\(181\) | −8.43436 | − | 18.4687i | −0.626921 | − | 1.37277i | −0.910377 | − | 0.413781i | \(-0.864208\pi\) |
0.283455 | − | 0.958985i | \(-0.408519\pi\) | |||||||
\(182\) | 20.4059 | + | 7.08794i | 1.51259 | + | 0.525393i | ||||
\(183\) | 4.64409 | 0.343301 | ||||||||
\(184\) | −7.90067 | − | 11.1345i | −0.582445 | − | 0.820844i | ||||
\(185\) | −1.74127 | − | 3.01597i | −0.128021 | − | 0.221738i | ||||
\(186\) | 5.27144 | − | 2.11037i | 0.386521 | − | 0.154740i | ||||
\(187\) | 4.61124 | + | 0.440320i | 0.337208 | + | 0.0321994i | ||||
\(188\) | 0.0198093 | + | 0.00581653i | 0.00144474 | + | 0.000424214i | ||||
\(189\) | 7.00644 | + | 4.05555i | 0.509643 | + | 0.294998i | ||||
\(190\) | −7.09720 | + | 2.08393i | −0.514885 | + | 0.151184i | ||||
\(191\) | 1.14306 | − | 0.589290i | 0.0827091 | − | 0.0426395i | −0.416376 | − | 0.909193i | \(-0.636700\pi\) |
0.499085 | + | 0.866553i | \(0.333670\pi\) | |||||||
\(192\) | 4.32002 | − | 0.412512i | 0.311771 | − | 0.0297705i | ||||
\(193\) | −7.30317 | − | 1.40757i | −0.525693 | − | 0.101319i | −0.0805018 | − | 0.996754i | \(-0.525652\pi\) |
−0.445192 | + | 0.895435i | \(0.646864\pi\) | |||||||
\(194\) | −0.233366 | − | 4.89897i | −0.0167547 | − | 0.351725i | ||||
\(195\) | −1.69932 | − | 11.8190i | −0.121690 | − | 0.846376i | ||||
\(196\) | 0.0439829 | − | 0.179558i | 0.00314164 | − | 0.0128256i | ||||
\(197\) | −20.3162 | + | 13.0564i | −1.44747 | + | 0.930233i | −0.448129 | + | 0.893969i | \(0.647909\pi\) |
−0.999342 | + | 0.0362641i | \(0.988454\pi\) | |||||||
\(198\) | −2.20327 | − | 6.36594i | −0.156580 | − | 0.452408i | ||||
\(199\) | −21.8537 | + | 2.08678i | −1.54917 | + | 0.147928i | −0.834293 | − | 0.551322i | \(-0.814124\pi\) |
−0.714878 | + | 0.699250i | \(0.753518\pi\) | |||||||
\(200\) | 1.31605 | − | 27.6272i | 0.0930585 | − | 1.95354i | ||||
\(201\) | −1.61032 | + | 6.63781i | −0.113583 | + | 0.468195i | ||||
\(202\) | −12.2532 | − | 14.1410i | −0.862135 | − | 0.994957i | ||||
\(203\) | −8.03124 | + | 0.373636i | −0.563683 | + | 0.0262241i | ||||
\(204\) | −0.0154002 | − | 0.0337217i | −0.00107823 | − | 0.00236099i | ||||
\(205\) | 14.8464 | + | 11.6753i | 1.03691 | + | 0.815438i | ||||
\(206\) | 10.5240 | + | 18.2282i | 0.733244 | + | 1.27002i | ||||
\(207\) | 12.7726 | + | 2.48396i | 0.887754 | + | 0.172647i | ||||
\(208\) | −11.4682 | + | 19.8634i | −0.795174 | + | 1.37728i | ||||
\(209\) | 0.345226 | − | 2.40110i | 0.0238798 | − | 0.166088i | ||||
\(210\) | 7.42312 | − | 1.79210i | 0.512244 | − | 0.123667i | ||||
\(211\) | 22.3951 | + | 6.57579i | 1.54174 | + | 0.452696i | 0.938620 | − | 0.344953i | \(-0.112105\pi\) |
0.603121 | + | 0.797649i | \(0.293923\pi\) | |||||||
\(212\) | 0.0483111 | − | 0.00931119i | 0.00331802 | − | 0.000639495i | ||||
\(213\) | −5.35679 | − | 5.10769i | −0.367041 | − | 0.349973i | ||||
\(214\) | −0.0337013 | + | 0.707478i | −0.00230377 | + | 0.0483622i | ||||
\(215\) | −1.56079 | − | 2.19182i | −0.106445 | − | 0.149481i | ||||
\(216\) | −5.70428 | + | 6.58310i | −0.388127 | + | 0.447923i | ||||
\(217\) | 19.7605 | + | 2.86353i | 1.34143 | + | 0.194389i | ||||
\(218\) | 3.35198 | + | 23.3135i | 0.227025 | + | 1.57899i | ||||
\(219\) | −0.252881 | − | 0.101238i | −0.0170881 | − | 0.00684104i | ||||
\(220\) | 0.159147 | + | 0.0820460i | 0.0107297 | + | 0.00553154i | ||||
\(221\) | 14.9574 | + | 2.88280i | 1.00614 | + | 0.193918i | ||||
\(222\) | 0.396210 | + | 0.556399i | 0.0265919 | + | 0.0373430i | ||||
\(223\) | 7.97064 | + | 5.12242i | 0.533754 | + | 0.343023i | 0.779592 | − | 0.626288i | \(-0.215427\pi\) |
−0.245838 | + | 0.969311i | \(0.579063\pi\) | |||||||
\(224\) | 0.359336 | + | 0.164586i | 0.0240092 | + | 0.0109969i | ||||
\(225\) | 17.2623 | + | 19.9217i | 1.15082 | + | 1.32811i | ||||
\(226\) | 16.4747 | − | 15.7086i | 1.09588 | − | 1.04492i | ||||
\(227\) | −1.93452 | + | 2.71665i | −0.128399 | + | 0.180311i | −0.873771 | − | 0.486338i | \(-0.838332\pi\) |
0.745372 | + | 0.666649i | \(0.232272\pi\) | |||||||
\(228\) | −0.0180230 | + | 0.00721533i | −0.00119360 | + | 0.000477847i | ||||
\(229\) | −4.54416 | + | 7.87071i | −0.300286 | + | 0.520111i | −0.976201 | − | 0.216869i | \(-0.930416\pi\) |
0.675914 | + | 0.736980i | \(0.263749\pi\) | |||||||
\(230\) | 21.7659 | − | 13.9365i | 1.43520 | − | 0.918947i | ||||
\(231\) | −0.476683 | + | 2.45857i | −0.0313634 | + | 0.161762i | ||||
\(232\) | 1.23114 | − | 8.56280i | 0.0808286 | − | 0.562175i | ||||
\(233\) | 9.15665 | + | 0.874354i | 0.599872 | + | 0.0572809i | 0.390575 | − | 0.920571i | \(-0.372276\pi\) |
0.209297 | + | 0.977852i | \(0.432882\pi\) | |||||||
\(234\) | −5.22258 | − | 21.5278i | −0.341411 | − | 1.40732i | ||||
\(235\) | −0.980832 | + | 2.83393i | −0.0639824 | + | 0.184865i | ||||
\(236\) | 0.0131614 | − | 0.0542519i | 0.000856732 | − | 0.00353150i | ||||
\(237\) | 0.729810 | + | 0.469020i | 0.0474062 | + | 0.0304661i | ||||
\(238\) | −0.936788 | + | 9.69667i | −0.0607230 | + | 0.628542i | ||||
\(239\) | 2.48114 | − | 2.86339i | 0.160492 | − | 0.185217i | −0.669808 | − | 0.742534i | \(-0.733624\pi\) |
0.830300 | + | 0.557317i | \(0.188169\pi\) | |||||||
\(240\) | 0.385800 | + | 8.09894i | 0.0249033 | + | 0.522785i | ||||
\(241\) | 3.62142 | − | 2.84792i | 0.233276 | − | 0.183451i | −0.494678 | − | 0.869077i | \(-0.664714\pi\) |
0.727954 | + | 0.685626i | \(0.240471\pi\) | |||||||
\(242\) | −8.69779 | + | 6.84002i | −0.559115 | + | 0.439693i | ||||
\(243\) | −0.602439 | − | 12.6468i | −0.0386465 | − | 0.811289i | ||||
\(244\) | −0.149965 | + | 0.173069i | −0.00960054 | + | 0.0110796i | ||||
\(245\) | 25.7481 | + | 7.62249i | 1.64499 | + | 0.486983i | ||||
\(246\) | −3.11640 | − | 2.00279i | −0.198694 | − | 0.127693i | ||||
\(247\) | 1.88065 | − | 7.75215i | 0.119663 | − | 0.493258i | ||||
\(248\) | −7.02675 | + | 20.3025i | −0.446199 | + | 1.28921i | ||||
\(249\) | 0.176633 | + | 0.728090i | 0.0111936 | + | 0.0461408i | ||||
\(250\) | 25.2983 | + | 2.41570i | 1.60001 | + | 0.152782i | ||||
\(251\) | 0.867632 | − | 6.03451i | 0.0547644 | − | 0.380895i | −0.943945 | − | 0.330103i | \(-0.892916\pi\) |
0.998709 | − | 0.0507918i | \(-0.0161745\pi\) | |||||||
\(252\) | −0.179219 | + | 0.0618055i | −0.0112897 | + | 0.00389338i | ||||
\(253\) | 1.19217 | + | 8.39173i | 0.0749509 | + | 0.527584i | ||||
\(254\) | 6.99615 | − | 12.1177i | 0.438977 | − | 0.760331i | ||||
\(255\) | 4.99911 | − | 2.00134i | 0.313057 | − | 0.125329i | ||||
\(256\) | −0.367592 | + | 0.516211i | −0.0229745 | + | 0.0322632i | ||||
\(257\) | −9.30907 | + | 8.87618i | −0.580684 | + | 0.553681i | −0.922456 | − | 0.386102i | \(-0.873821\pi\) |
0.341772 | + | 0.939783i | \(0.388973\pi\) | |||||||
\(258\) | 0.345605 | + | 0.398850i | 0.0215164 | + | 0.0248313i | ||||
\(259\) | 0.225660 | + | 2.39128i | 0.0140218 | + | 0.148587i | ||||
\(260\) | 0.495326 | + | 0.318327i | 0.0307188 | + | 0.0197418i | ||||
\(261\) | 4.78244 | + | 6.71599i | 0.296025 | + | 0.415709i | ||||
\(262\) | −14.4952 | − | 2.79372i | −0.895518 | − | 0.172597i | ||||
\(263\) | −6.30721 | − | 3.25159i | −0.388919 | − | 0.200502i | 0.252666 | − | 0.967554i | \(-0.418693\pi\) |
−0.641585 | + | 0.767052i | \(0.721723\pi\) | |||||||
\(264\) | −2.50163 | − | 1.00150i | −0.153965 | − | 0.0616381i | ||||
\(265\) | 1.01706 | + | 7.07381i | 0.0624775 | + | 0.434540i | ||||
\(266\) | 5.04884 | + | 0.731637i | 0.309564 | + | 0.0448596i | ||||
\(267\) | −6.52654 | + | 7.53203i | −0.399418 | + | 0.460953i | ||||
\(268\) | −0.195368 | − | 0.274356i | −0.0119340 | − | 0.0167590i | ||||
\(269\) | 0.705148 | − | 14.8029i | 0.0429936 | − | 0.902547i | −0.869619 | − | 0.493723i | \(-0.835636\pi\) |
0.912613 | − | 0.408825i | \(-0.134061\pi\) | |||||||
\(270\) | −11.9342 | − | 11.3793i | −0.726294 | − | 0.692520i | ||||
\(271\) | 15.5086 | − | 2.98904i | 0.942082 | − | 0.181571i | 0.304987 | − | 0.952357i | \(-0.401348\pi\) |
0.637095 | + | 0.770785i | \(0.280136\pi\) | |||||||
\(272\) | −9.92464 | − | 2.91414i | −0.601769 | − | 0.176695i | ||||
\(273\) | −2.32894 | + | 7.89919i | −0.140954 | + | 0.478081i | ||||
\(274\) | 2.42781 | − | 16.8858i | 0.146669 | − | 1.02011i | ||||
\(275\) | −8.58558 | + | 14.8707i | −0.517730 | + | 0.896735i | ||||
\(276\) | 0.0533911 | − | 0.0418423i | 0.00321377 | − | 0.00251861i | ||||
\(277\) | −4.72329 | − | 8.18098i | −0.283795 | − | 0.491547i | 0.688521 | − | 0.725216i | \(-0.258260\pi\) |
−0.972316 | + | 0.233669i | \(0.924927\pi\) | |||||||
\(278\) | 15.5823 | + | 12.2541i | 0.934566 | + | 0.734951i | ||||
\(279\) | −8.50586 | − | 18.6252i | −0.509233 | − | 1.11506i | ||||
\(280\) | −13.2681 | + | 25.6665i | −0.792922 | + | 1.53387i | ||||
\(281\) | −11.9131 | − | 13.7484i | −0.710673 | − | 0.820160i | 0.279480 | − | 0.960152i | \(-0.409838\pi\) |
−0.990153 | + | 0.139991i | \(0.955293\pi\) | |||||||
\(282\) | 0.138670 | − | 0.571607i | 0.00825770 | − | 0.0340387i | ||||
\(283\) | −0.371757 | + | 7.80414i | −0.0220987 | + | 0.463908i | 0.960513 | + | 0.278235i | \(0.0897494\pi\) |
−0.982612 | + | 0.185673i | \(0.940554\pi\) | |||||||
\(284\) | 0.363325 | − | 0.0346933i | 0.0215594 | − | 0.00205867i | ||||
\(285\) | −0.922306 | − | 2.66483i | −0.0546327 | − | 0.157851i | ||||
\(286\) | 12.1394 | − | 7.80149i | 0.717815 | − | 0.461312i | ||||
\(287\) | −5.95621 | − | 11.5850i | −0.351584 | − | 0.683842i | ||||
\(288\) | −0.0576810 | − | 0.401180i | −0.00339888 | − | 0.0236398i | ||||
\(289\) | −0.482029 | − | 10.1190i | −0.0283546 | − | 0.595237i | ||||
\(290\) | 16.0806 | + | 3.09928i | 0.944285 | + | 0.181996i | ||||
\(291\) | 1.86130 | − | 0.177733i | 0.109112 | − | 0.0104189i | ||||
\(292\) | 0.0119387 | − | 0.00615483i | 0.000698660 | − | 0.000360184i | ||||
\(293\) | −3.84023 | + | 1.12759i | −0.224349 | + | 0.0658747i | −0.391975 | − | 0.919976i | \(-0.628208\pi\) |
0.167626 | + | 0.985851i | \(0.446390\pi\) | |||||||
\(294\) | −5.16939 | − | 1.00823i | −0.301485 | − | 0.0588013i | ||||
\(295\) | 7.78044 | + | 2.28454i | 0.452995 | + | 0.133011i | ||||
\(296\) | −2.57271 | − | 0.245664i | −0.149536 | − | 0.0142789i | ||||
\(297\) | 5.02046 | − | 2.00989i | 0.291316 | − | 0.116626i | ||||
\(298\) | 8.38647 | + | 14.5258i | 0.485815 | + | 0.841457i | ||||
\(299\) | 1.27947 | + | 27.8432i | 0.0739937 | + | 1.61021i | ||||
\(300\) | 0.137421 | 0.00793402 | ||||||||
\(301\) | 0.349189 | + | 1.82265i | 0.0201269 | + | 0.105056i | ||||
\(302\) | −7.93875 | − | 17.3834i | −0.456824 | − | 1.00030i | ||||
\(303\) | 5.16265 | − | 4.92257i | 0.296586 | − | 0.282795i | ||||
\(304\) | −1.77164 | + | 5.11881i | −0.101610 | + | 0.293584i | ||||
\(305\) | −24.0741 | − | 22.9546i | −1.37848 | − | 1.31438i | ||||
\(306\) | 8.87948 | − | 4.57769i | 0.507606 | − | 0.261689i | ||||
\(307\) | −12.3985 | + | 27.1490i | −0.707623 | + | 1.54948i | 0.122855 | + | 0.992425i | \(0.460795\pi\) |
−0.830477 | + | 0.557053i | \(0.811932\pi\) | |||||||
\(308\) | −0.0762294 | − | 0.0971554i | −0.00434357 | − | 0.00553594i | ||||
\(309\) | −6.75042 | + | 4.33823i | −0.384018 | + | 0.246793i | ||||
\(310\) | −37.7572 | − | 15.1157i | −2.14446 | − | 0.858514i | ||||
\(311\) | 0.136827 | − | 0.107602i | 0.00775876 | − | 0.00610156i | −0.614272 | − | 0.789094i | \(-0.710550\pi\) |
0.622031 | + | 0.782993i | \(0.286308\pi\) | |||||||
\(312\) | −7.87609 | − | 4.06041i | −0.445896 | − | 0.229875i | ||||
\(313\) | −1.41029 | − | 4.07477i | −0.0797145 | − | 0.230320i | 0.898101 | − | 0.439790i | \(-0.144947\pi\) |
−0.977815 | + | 0.209470i | \(0.932826\pi\) | |||||||
\(314\) | −4.13743 | + | 9.05971i | −0.233489 | + | 0.511269i | ||||
\(315\) | −7.72868 | − | 26.4300i | −0.435462 | − | 1.48916i | ||||
\(316\) | −0.0410454 | + | 0.0120520i | −0.00230899 | + | 0.000677980i | ||||
\(317\) | 5.87357 | − | 1.13204i | 0.329893 | − | 0.0635816i | −0.0216157 | − | 0.999766i | \(-0.506881\pi\) |
0.351508 | + | 0.936185i | \(0.385669\pi\) | |||||||
\(318\) | −0.330463 | − | 1.36219i | −0.0185314 | − | 0.0763877i | ||||
\(319\) | −3.11530 | + | 4.37483i | −0.174424 | + | 0.244944i | ||||
\(320\) | −24.4331 | − | 19.2144i | −1.36585 | − | 1.07412i | ||||
\(321\) | −0.270020 | −0.0150711 | ||||||||
\(322\) | −17.6511 | + | 2.48759i | −0.983655 | + | 0.138628i | ||||
\(323\) | 3.59740 | 0.200165 | ||||||||
\(324\) | 0.134950 | + | 0.106126i | 0.00749723 | + | 0.00589589i | ||||
\(325\) | −32.7535 | + | 45.9958i | −1.81684 | + | 2.55139i | ||||
\(326\) | −1.17002 | − | 4.82290i | −0.0648015 | − | 0.267116i | ||||
\(327\) | −8.81705 | + | 1.69935i | −0.487584 | + | 0.0939741i | ||||
\(328\) | 13.4485 | − | 3.94885i | 0.742572 | − | 0.218039i | ||||
\(329\) | 1.42896 | − | 1.49532i | 0.0787810 | − | 0.0824397i | ||||
\(330\) | 2.11908 | − | 4.64014i | 0.116652 | − | 0.255431i | ||||
\(331\) | 8.55362 | + | 24.7141i | 0.470149 | + | 1.35841i | 0.892120 | + | 0.451798i | \(0.149217\pi\) |
−0.421971 | + | 0.906609i | \(0.638662\pi\) | |||||||
\(332\) | −0.0328371 | − | 0.0169287i | −0.00180217 | − | 0.000929083i | ||||
\(333\) | 1.93612 | − | 1.52258i | 0.106099 | − | 0.0834371i | ||||
\(334\) | 11.1080 | + | 4.44698i | 0.607804 | + | 0.243328i | ||||
\(335\) | 41.1566 | − | 26.4498i | 2.24863 | − | 1.44510i | ||||
\(336\) | 2.08416 | − | 5.18927i | 0.113700 | − | 0.283098i | ||||
\(337\) | −6.10533 | + | 13.3688i | −0.332578 | + | 0.728245i | −0.999863 | − | 0.0165577i | \(-0.994729\pi\) |
0.667284 | + | 0.744803i | \(0.267457\pi\) | |||||||
\(338\) | 25.9443 | − | 13.3752i | 1.41118 | − | 0.727516i | ||||
\(339\) | 6.28073 | + | 5.98867i | 0.341123 | + | 0.325260i | ||||
\(340\) | −0.0868463 | + | 0.250926i | −0.00470990 | + | 0.0136084i | ||||
\(341\) | 9.65309 | − | 9.20420i | 0.522744 | − | 0.498436i | ||||
\(342\) | −2.17327 | − | 4.75879i | −0.117517 | − | 0.257326i | ||||
\(343\) | −13.9562 | − | 12.1748i | −0.753564 | − | 0.657375i | ||||
\(344\) | −1.99682 | −0.107661 | ||||||||
\(345\) | 5.70189 | + | 8.03571i | 0.306979 | + | 0.432628i | ||||
\(346\) | −5.61084 | − | 9.71826i | −0.301641 | − | 0.522457i | ||||
\(347\) | −30.3813 | + | 12.1629i | −1.63096 | + | 0.652936i | −0.993105 | − | 0.117225i | \(-0.962600\pi\) |
−0.637850 | + | 0.770161i | \(0.720176\pi\) | |||||||
\(348\) | 0.0427871 | + | 0.00408567i | 0.00229363 | + | 0.000219015i | ||||
\(349\) | 10.8980 | + | 3.19994i | 0.583356 | + | 0.171289i | 0.560077 | − | 0.828440i | \(-0.310771\pi\) |
0.0232785 | + | 0.999729i | \(0.492590\pi\) | |||||||
\(350\) | −31.2538 | − | 18.0907i | −1.67058 | − | 0.966988i | ||||
\(351\) | 17.0629 | − | 5.01011i | 0.910748 | − | 0.267420i | ||||
\(352\) | 0.234669 | − | 0.120980i | 0.0125079 | − | 0.00644826i | ||||
\(353\) | −7.48599 | + | 0.714825i | −0.398439 | + | 0.0380463i | −0.292353 | − | 0.956311i | \(-0.594438\pi\) |
−0.106086 | + | 0.994357i | \(0.533832\pi\) | |||||||
\(354\) | −1.56171 | − | 0.300995i | −0.0830040 | − | 0.0159977i | ||||
\(355\) | 2.52254 | + | 52.9546i | 0.133882 | + | 2.81054i | ||||
\(356\) | −0.0699399 | − | 0.486443i | −0.00370681 | − | 0.0257814i | ||||
\(357\) | −3.70951 | − | 0.180835i | −0.196328 | − | 0.00957080i | ||||
\(358\) | −14.7656 | + | 9.48927i | −0.780386 | + | 0.501524i | ||||
\(359\) | −7.79548 | − | 22.5236i | −0.411430 | − | 1.18875i | −0.940389 | − | 0.340101i | \(-0.889539\pi\) |
0.528959 | − | 0.848647i | \(-0.322582\pi\) | |||||||
\(360\) | 29.4951 | − | 2.81644i | 1.55453 | − | 0.148440i | ||||
\(361\) | −0.814418 | + | 17.0967i | −0.0428641 | + | 0.899828i | ||||
\(362\) | 6.72461 | − | 27.7192i | 0.353437 | − | 1.45689i | ||||
\(363\) | −2.76247 | − | 3.18806i | −0.144992 | − | 0.167330i | ||||
\(364\) | −0.219170 | − | 0.341869i | −0.0114876 | − | 0.0179188i | ||||
\(365\) | 0.810490 | + | 1.77473i | 0.0424230 | + | 0.0928934i | ||||
\(366\) | 5.12840 | + | 4.03301i | 0.268066 | + | 0.210809i | ||||
\(367\) | 2.67205 | + | 4.62812i | 0.139480 | + | 0.241586i | 0.927300 | − | 0.374320i | \(-0.122124\pi\) |
−0.787820 | + | 0.615905i | \(0.788790\pi\) | |||||||
\(368\) | 0.932317 | − | 18.9037i | 0.0486004 | − | 0.985423i | ||||
\(369\) | −6.67918 | + | 11.5687i | −0.347704 | + | 0.602241i | ||||
\(370\) | 0.696265 | − | 4.84263i | 0.0361971 | − | 0.251756i | ||||
\(371\) | 1.39390 | − | 4.72776i | 0.0723676 | − | 0.245453i | ||||
\(372\) | −0.102420 | − | 0.0300731i | −0.00531021 | − | 0.00155922i | ||||
\(373\) | −5.08110 | + | 0.979301i | −0.263089 | + | 0.0507063i | −0.319090 | − | 0.947724i | \(-0.603377\pi\) |
0.0560007 | + | 0.998431i | \(0.482165\pi\) | |||||||
\(374\) | 4.70974 | + | 4.49072i | 0.243535 | + | 0.232210i | ||||
\(375\) | −0.460995 | + | 9.67748i | −0.0238057 | + | 0.499743i | ||||
\(376\) | 1.29090 | + | 1.81282i | 0.0665731 | + | 0.0934889i | ||||
\(377\) | −11.5655 | + | 13.3473i | −0.595655 | + | 0.687423i | ||||
\(378\) | 4.21518 | + | 10.5630i | 0.216805 | + | 0.543302i | ||||
\(379\) | −0.154810 | − | 1.07673i | −0.00795206 | − | 0.0553078i | 0.985459 | − | 0.169913i | \(-0.0543487\pi\) |
−0.993411 | + | 0.114605i | \(0.963440\pi\) | |||||||
\(380\) | 0.129091 | + | 0.0516804i | 0.00662225 | + | 0.00265115i | ||||
\(381\) | 4.74135 | + | 2.44434i | 0.242907 | + | 0.125227i | ||||
\(382\) | 1.77401 | + | 0.341913i | 0.0907665 | + | 0.0174938i | ||||
\(383\) | −5.79427 | − | 8.13692i | −0.296074 | − | 0.415777i | 0.639565 | − | 0.768737i | \(-0.279115\pi\) |
−0.935638 | + | 0.352960i | \(0.885175\pi\) | |||||||
\(384\) | 4.99415 | + | 3.20954i | 0.254856 | + | 0.163786i | ||||
\(385\) | 14.6231 | − | 10.3886i | 0.745264 | − | 0.529454i | ||||
\(386\) | −6.84240 | − | 7.89655i | −0.348269 | − | 0.401924i | ||||
\(387\) | 1.37733 | − | 1.31328i | 0.0700135 | − | 0.0667577i | ||||
\(388\) | −0.0534810 | + | 0.0751035i | −0.00271508 | + | 0.00381280i | ||||
\(389\) | −28.0307 | + | 11.2218i | −1.42121 | + | 0.568968i | −0.949776 | − | 0.312931i | \(-0.898689\pi\) |
−0.471438 | + | 0.881899i | \(0.656265\pi\) | |||||||
\(390\) | 8.38730 | − | 14.5272i | 0.424708 | − | 0.735615i | ||||
\(391\) | −12.0665 | + | 3.52105i | −0.610230 | + | 0.178067i | ||||
\(392\) | 15.6914 | − | 12.2836i | 0.792537 | − | 0.620414i | ||||
\(393\) | 0.800915 | − | 5.57049i | 0.0404008 | − | 0.280994i | ||||
\(394\) | −33.7733 | − | 3.22496i | −1.70147 | − | 0.162471i | ||||
\(395\) | −1.46494 | − | 6.03858i | −0.0737093 | − | 0.303834i | ||||
\(396\) | −0.0414191 | + | 0.119673i | −0.00208139 | + | 0.00601377i | ||||
\(397\) | 8.11241 | − | 33.4398i | 0.407150 | − | 1.67830i | −0.286576 | − | 0.958058i | \(-0.592517\pi\) |
0.693726 | − | 0.720239i | \(-0.255968\pi\) | |||||||
\(398\) | −25.9449 | − | 16.6738i | −1.30050 | − | 0.835781i | ||||
\(399\) | −0.187024 | + | 1.93588i | −0.00936291 | + | 0.0969153i | ||||
\(400\) | 25.1092 | − | 28.9775i | 1.25546 | − | 1.44888i | ||||
\(401\) | −1.16698 | − | 24.4980i | −0.0582763 | − | 1.22337i | −0.818807 | − | 0.574069i | \(-0.805364\pi\) |
0.760531 | − | 0.649302i | \(-0.224939\pi\) | |||||||
\(402\) | −7.54264 | + | 5.93160i | −0.376193 | + | 0.295841i | ||||
\(403\) | 34.4767 | − | 27.1128i | 1.71741 | − | 1.35059i | ||||
\(404\) | 0.0167369 | + | 0.351351i | 0.000832694 | + | 0.0174804i | ||||
\(405\) | −16.3305 | + | 18.8464i | −0.811470 | + | 0.936487i | ||||
\(406\) | −9.19324 | − | 6.56187i | −0.456253 | − | 0.325660i | ||||
\(407\) | 1.34977 | + | 0.867444i | 0.0669056 | + | 0.0429976i | ||||
\(408\) | 0.942121 | − | 3.88347i | 0.0466419 | − | 0.192261i | ||||
\(409\) | 9.30524 | − | 26.8857i | 0.460115 | − | 1.32941i | −0.441650 | − | 0.897187i | \(-0.645607\pi\) |
0.901765 | − | 0.432227i | \(-0.142272\pi\) | |||||||
\(410\) | 6.25554 | + | 25.7857i | 0.308939 | + | 1.27346i | ||||
\(411\) | 6.47417 | + | 0.618209i | 0.319347 | + | 0.0304940i | ||||
\(412\) | 0.0563111 | − | 0.391653i | 0.00277425 | − | 0.0192953i | ||||
\(413\) | −4.22261 | − | 3.66713i | −0.207781 | − | 0.180448i | ||||
\(414\) | 11.9474 | + | 13.8349i | 0.587183 | + | 0.679949i | ||||
\(415\) | 2.68314 | − | 4.64733i | 0.131710 | − | 0.228129i | ||||
\(416\) | 0.806010 | − | 0.322678i | 0.0395179 | − | 0.0158206i | ||||
\(417\) | −4.38372 | + | 6.15607i | −0.214672 | + | 0.301464i | ||||
\(418\) | 2.46638 | − | 2.35169i | 0.120635 | − | 0.115025i | ||||
\(419\) | 17.5896 | + | 20.2995i | 0.859309 | + | 0.991696i | 0.999999 | + | 0.00164193i | \(0.000522642\pi\) |
−0.140689 | + | 0.990054i | \(0.544932\pi\) | |||||||
\(420\) | −0.130516 | − | 0.0597801i | −0.00636855 | − | 0.00291697i | ||||
\(421\) | −4.59165 | − | 2.95088i | −0.223784 | − | 0.143817i | 0.423946 | − | 0.905688i | \(-0.360645\pi\) |
−0.647729 | + | 0.761871i | \(0.724281\pi\) | |||||||
\(422\) | 19.0200 | + | 26.7098i | 0.925878 | + | 1.30021i | ||||
\(423\) | −2.08268 | − | 0.401403i | −0.101263 | − | 0.0195169i | ||||
\(424\) | 4.71393 | + | 2.43020i | 0.228929 | + | 0.118021i | ||||
\(425\) | −23.6405 | − | 9.46421i | −1.14673 | − | 0.459082i | ||||
\(426\) | −1.47980 | − | 10.2923i | −0.0716967 | − | 0.498662i | ||||
\(427\) | 8.50300 | + | 21.3080i | 0.411489 | + | 1.03117i | ||||
\(428\) | 0.00871939 | − | 0.0100627i | 0.000421467 | − | 0.000486399i | ||||
\(429\) | 3.19103 | + | 4.48117i | 0.154064 | + | 0.216353i | ||||
\(430\) | 0.179864 | − | 3.77580i | 0.00867379 | − | 0.182085i | ||||
\(431\) | 2.84403 | + | 2.71178i | 0.136992 | + | 0.130622i | 0.755478 | − | 0.655175i | \(-0.227405\pi\) |
−0.618485 | + | 0.785796i | \(0.712253\pi\) | |||||||
\(432\) | −11.8573 | + | 2.28531i | −0.570486 | + | 0.109952i | ||||
\(433\) | −12.1778 | − | 3.57574i | −0.585230 | − | 0.171839i | −0.0243033 | − | 0.999705i | \(-0.507737\pi\) |
−0.560926 | + | 0.827866i | \(0.689555\pi\) | |||||||
\(434\) | 19.3344 | + | 20.3225i | 0.928081 | + | 0.975510i | ||||
\(435\) | −0.888513 | + | 6.17974i | −0.0426009 | + | 0.296296i | ||||
\(436\) | 0.221388 | − | 0.383455i | 0.0106026 | − | 0.0183642i | ||||
\(437\) | 1.54114 | + | 6.39954i | 0.0737226 | + | 0.306132i | ||||
\(438\) | −0.191335 | − | 0.331402i | −0.00914233 | − | 0.0158350i | ||||
\(439\) | 3.33557 | + | 2.62312i | 0.159198 | + | 0.125195i | 0.694580 | − | 0.719415i | \(-0.255590\pi\) |
−0.535382 | + | 0.844610i | \(0.679833\pi\) | |||||||
\(440\) | 8.01779 | + | 17.5565i | 0.382233 | + | 0.836974i | ||||
\(441\) | −2.74461 | + | 18.7928i | −0.130696 | + | 0.894893i | ||||
\(442\) | 14.0137 | + | 16.1727i | 0.666565 | + | 0.769257i | ||||
\(443\) | −1.57365 | + | 6.48669i | −0.0747666 | + | 0.308192i | −0.996900 | − | 0.0786803i | \(-0.974929\pi\) |
0.922133 | + | 0.386872i | \(0.126445\pi\) | |||||||
\(444\) | 0.000610982 | − | 0.0128261i | 2.89959e−5 | − | 0.000608700i | ||||
\(445\) | 71.0613 | − | 6.78554i | 3.36863 | − | 0.321665i | ||||
\(446\) | 4.35344 | + | 12.5784i | 0.206142 | + | 0.595607i | ||||
\(447\) | −5.37933 | + | 3.45708i | −0.254433 | + | 0.163514i | ||||
\(448\) | 9.80233 | + | 19.0658i | 0.463116 | + | 0.900775i | ||||
\(449\) | 4.22928 | + | 29.4153i | 0.199592 | + | 1.38819i | 0.805470 | + | 0.592636i | \(0.201913\pi\) |
−0.605878 | + | 0.795557i | \(0.707178\pi\) | |||||||
\(450\) | 1.76205 | + | 36.9900i | 0.0830640 | + | 1.74373i | ||||
\(451\) | −8.54445 | − | 1.64681i | −0.402343 | − | 0.0775452i | ||||
\(452\) | −0.425991 | + | 0.0406772i | −0.0200369 | + | 0.00191330i | ||||
\(453\) | 6.47565 | − | 3.33843i | 0.304252 | − | 0.156853i | ||||
\(454\) | −4.49545 | + | 1.31998i | −0.210982 | + | 0.0619498i | ||||
\(455\) | 51.1165 | − | 29.4365i | 2.39638 | − | 1.38000i | ||||
\(456\) | −2.00791 | − | 0.589576i | −0.0940290 | − | 0.0276094i | ||||
\(457\) | −25.9821 | − | 2.48099i | −1.21539 | − | 0.116056i | −0.532407 | − | 0.846488i | \(-0.678713\pi\) |
−0.682985 | + | 0.730432i | \(0.739319\pi\) | |||||||
\(458\) | −11.8531 | + | 4.74527i | −0.553859 | + | 0.221732i | ||||
\(459\) | 4.00986 | + | 6.94528i | 0.187164 | + | 0.324178i | ||||
\(460\) | −0.483586 | − | 0.0469965i | −0.0225473 | − | 0.00219122i | ||||
\(461\) | −9.88782 | −0.460522 | −0.230261 | − | 0.973129i | \(-0.573958\pi\) | ||||
−0.230261 | + | 0.973129i | \(0.573958\pi\) | |||||||
\(462\) | −2.66146 | + | 2.30100i | −0.123822 | + | 0.107052i | ||||
\(463\) | −4.14055 | − | 9.06654i | −0.192428 | − | 0.421358i | 0.788684 | − | 0.614798i | \(-0.210763\pi\) |
−0.981112 | + | 0.193441i | \(0.938035\pi\) | |||||||
\(464\) | 8.67946 | − | 8.27584i | 0.402934 | − | 0.384196i | ||||
\(465\) | 5.07118 | − | 14.6522i | 0.235170 | − | 0.679480i | ||||
\(466\) | 9.35223 | + | 8.91733i | 0.433234 | + | 0.413088i | ||||
\(467\) | −6.60175 | + | 3.40344i | −0.305493 | + | 0.157492i | −0.604156 | − | 0.796866i | \(-0.706490\pi\) |
0.298663 | + | 0.954359i | \(0.403459\pi\) | |||||||
\(468\) | −0.172994 | + | 0.378805i | −0.00799666 | + | 0.0175102i | ||||
\(469\) | −33.4039 | + | 4.76490i | −1.54245 | + | 0.220023i | ||||
\(470\) | −3.54415 | + | 2.27769i | −0.163479 | + | 0.105062i | ||||
\(471\) | −3.52501 | − | 1.41120i | −0.162424 | − | 0.0650247i | ||||
\(472\) | 4.73020 | − | 3.71987i | 0.217725 | − | 0.171221i | ||||
\(473\) | 1.10187 | + | 0.568054i | 0.0506641 | + | 0.0261191i | ||||
\(474\) | 0.398611 | + | 1.15171i | 0.0183088 | + | 0.0528998i | ||||
\(475\) | −5.53965 | + | 12.1301i | −0.254176 | + | 0.556569i | ||||
\(476\) | 0.126525 | − | 0.132401i | 0.00579926 | − | 0.00606858i | ||||
\(477\) | −4.84979 | + | 1.42403i | −0.222057 | + | 0.0652018i | ||||
\(478\) | 5.22650 | − | 1.00733i | 0.239055 | − | 0.0460740i | ||||
\(479\) | −7.06843 | − | 29.1365i | −0.322965 | − | 1.33128i | −0.869537 | − | 0.493868i | \(-0.835583\pi\) |
0.546572 | − | 0.837412i | \(-0.315932\pi\) | |||||||
\(480\) | 0.178028 | − | 0.250005i | 0.00812582 | − | 0.0114111i | ||||
\(481\) | 4.14736 | + | 3.26152i | 0.189103 | + | 0.148712i | ||||
\(482\) | 6.47226 | 0.294803 | ||||||||
\(483\) | −1.26747 | − | 6.67644i | −0.0576718 | − | 0.303788i | ||||
\(484\) | 0.208012 | 0.00945511 | ||||||||
\(485\) | −10.5271 | − | 8.27863i | −0.478012 | − | 0.375913i | ||||
\(486\) | 10.3174 | − | 14.4888i | 0.468007 | − | 0.657224i | ||||
\(487\) | −5.11089 | − | 21.0674i | −0.231596 | − | 0.954654i | −0.962307 | − | 0.271966i | \(-0.912326\pi\) |
0.730710 | − | 0.682688i | \(-0.239189\pi\) | |||||||
\(488\) | −24.2391 | + | 4.67171i | −1.09725 | + | 0.211478i | ||||
\(489\) | 1.81535 | − | 0.533034i | 0.0820928 | − | 0.0241046i | ||||
\(490\) | 21.8137 | + | 30.7775i | 0.985443 | + | 1.39039i | ||||
\(491\) | 8.44885 | − | 18.5004i | 0.381291 | − | 0.834912i | −0.617538 | − | 0.786541i | \(-0.711870\pi\) |
0.998829 | − | 0.0483707i | \(-0.0154029\pi\) | |||||||
\(492\) | 0.0227770 | + | 0.0658098i | 0.00102687 | + | 0.00296694i | ||||
\(493\) | −7.07925 | − | 3.64961i | −0.318833 | − | 0.164370i | ||||
\(494\) | 8.80888 | − | 6.92738i | 0.396330 | − | 0.311678i | ||||
\(495\) | −17.0770 | − | 6.83661i | −0.767555 | − | 0.307283i | ||||
\(496\) | −25.0552 | + | 16.1020i | −1.12501 | + | 0.723001i | ||||
\(497\) | 13.6272 | − | 33.9298i | 0.611262 | − | 1.52196i | ||||
\(498\) | −0.437234 | + | 0.957408i | −0.0195929 | + | 0.0429025i | ||||
\(499\) | −2.63238 | + | 1.35709i | −0.117842 | + | 0.0607516i | −0.516139 | − | 0.856505i | \(-0.672631\pi\) |
0.398298 | + | 0.917256i | \(0.369601\pi\) | |||||||
\(500\) | −0.345759 | − | 0.329681i | −0.0154628 | − | 0.0147438i | ||||
\(501\) | −1.49192 | + | 4.31062i | −0.0666541 | + | 0.192584i | ||||
\(502\) | 6.19859 | − | 5.91034i | 0.276657 | − | 0.263792i | ||||
\(503\) | −11.7962 | − | 25.8300i | −0.525965 | − | 1.15170i | −0.967131 | − | 0.254277i | \(-0.918162\pi\) |
0.441166 | − | 0.897425i | \(-0.354565\pi\) | |||||||
\(504\) | −19.3039 | − | 6.70516i | −0.859864 | − | 0.298672i | ||||
\(505\) | −51.0933 | −2.27362 | ||||||||
\(506\) | −5.97104 | + | 10.3021i | −0.265445 | + | 0.457986i | ||||
\(507\) | 5.56394 | + | 9.63703i | 0.247103 | + | 0.427995i | ||||
\(508\) | −0.244197 | + | 0.0977619i | −0.0108345 | + | 0.00433748i | ||||
\(509\) | 3.66014 | + | 0.349501i | 0.162233 | + | 0.0154914i | 0.175856 | − | 0.984416i | \(-0.443731\pi\) |
−0.0136235 | + | 0.999907i | \(0.504337\pi\) | |||||||
\(510\) | 7.25844 | + | 2.13127i | 0.321409 | + | 0.0943742i | ||||
\(511\) | 0.00149443 | − | 1.34563i | 6.61097e−5 | − | 0.0595270i | ||||
\(512\) | −22.1251 | + | 6.49652i | −0.977801 | + | 0.287108i | ||||
\(513\) | 3.73289 | − | 1.92444i | 0.164811 | − | 0.0849659i | ||||
\(514\) | −17.9881 | + | 1.71765i | −0.793420 | + | 0.0757624i | ||||
\(515\) | 56.4357 | + | 10.8771i | 2.48685 | + | 0.479301i | ||||
\(516\) | −0.000472069 | − | 0.00990995i | −2.07817e−5 | − | 0.000436261i | ||||
\(517\) | −0.196627 | − | 1.36757i | −0.00864765 | − | 0.0601457i | ||||
\(518\) | −1.82743 | + | 2.83661i | −0.0802929 | + | 0.124634i | ||||
\(519\) | 3.59896 | − | 2.31291i | 0.157977 | − | 0.101525i | ||||
\(520\) | 20.7586 | + | 59.9779i | 0.910323 | + | 2.63021i | ||||
\(521\) | 12.8136 | − | 1.22355i | 0.561373 | − | 0.0536046i | 0.189487 | − | 0.981883i | \(-0.439317\pi\) |
0.371886 | + | 0.928279i | \(0.378711\pi\) | |||||||
\(522\) | −0.551124 | + | 11.5695i | −0.0241220 | + | 0.506384i | ||||
\(523\) | −5.36603 | + | 22.1191i | −0.234640 | + | 0.967200i | 0.725620 | + | 0.688095i | \(0.241553\pi\) |
−0.960261 | + | 0.279105i | \(0.909962\pi\) | |||||||
\(524\) | 0.181730 | + | 0.209727i | 0.00793890 | + | 0.00916198i | ||||
\(525\) | 6.32203 | − | 12.2297i | 0.275916 | − | 0.533746i | ||||
\(526\) | −4.14120 | − | 9.06797i | −0.180565 | − | 0.395382i | ||||
\(527\) | 15.5480 | + | 12.2271i | 0.677283 | + | 0.532621i | ||||
\(528\) | −1.86779 | − | 3.23510i | −0.0812849 | − | 0.140790i | ||||
\(529\) | −11.4330 | − | 19.9571i | −0.497088 | − | 0.867700i | ||||
\(530\) | −5.01990 | + | 8.69472i | −0.218050 | + | 0.377674i | ||||
\(531\) | −0.816202 | + | 5.67681i | −0.0354201 | + | 0.246353i | ||||
\(532\) | −0.0661042 | − | 0.0694824i | −0.00286598 | − | 0.00301244i | ||||
\(533\) | −27.4557 | − | 8.06173i | −1.18924 | − | 0.349192i | ||||
\(534\) | −13.7481 | + | 2.64973i | −0.594939 | + | 0.114665i | ||||
\(535\) | 1.39973 | + | 1.33464i | 0.0605158 | + | 0.0577017i | ||||
\(536\) | 1.72751 | − | 36.2649i | 0.0746170 | − | 1.56640i | ||||
\(537\) | −3.88138 | − | 5.45064i | −0.167494 | − | 0.235212i | ||||
\(538\) | 13.6338 | − | 15.7342i | 0.587793 | − | 0.678350i | ||||
\(539\) | −12.1532 | + | 2.31435i | −0.523474 | + | 0.0996859i | ||||
\(540\) | 0.0441161 | + | 0.306834i | 0.00189846 | + | 0.0132041i | ||||
\(541\) | −18.6537 | − | 7.46781i | −0.801984 | − | 0.321066i | −0.0657875 | − | 0.997834i | \(-0.520956\pi\) |
−0.736197 | + | 0.676768i | \(0.763380\pi\) | |||||||
\(542\) | 19.7217 | + | 10.1672i | 0.847118 | + | 0.436719i | ||||
\(543\) | 10.6775 | + | 2.05792i | 0.458216 | + | 0.0883139i | ||||
\(544\) | 0.227112 | + | 0.318934i | 0.00973735 | + | 0.0136742i | ||||
\(545\) | 54.1053 | + | 34.7714i | 2.31762 | + | 1.48944i | ||||
\(546\) | −9.43161 | + | 6.70044i | −0.403636 | + | 0.286753i | ||||
\(547\) | 21.3744 | + | 24.6673i | 0.913901 | + | 1.05470i | 0.998301 | + | 0.0582663i | \(0.0185572\pi\) |
−0.0843998 | + | 0.996432i | \(0.526897\pi\) | |||||||
\(548\) | −0.232100 | + | 0.221307i | −0.00991481 | + | 0.00945375i | ||||
\(549\) | 13.6467 | − | 19.1641i | 0.582426 | − | 0.817903i | ||||
\(550\) | −22.3949 | + | 8.96555i | −0.954920 | + | 0.382292i | ||||
\(551\) | −2.08545 | + | 3.61211i | −0.0888432 | + | 0.153881i | ||||
\(552\) | 7.31205 | + | 0.0122804i | 0.311222 | + | 0.000522687i | ||||
\(553\) | −0.815728 | + | 4.20725i | −0.0346883 | + | 0.178910i | ||||
\(554\) | 1.88866 | − | 13.1359i | 0.0802414 | − | 0.558091i | ||||
\(555\) | 1.85672 | + | 0.177295i | 0.0788132 | + | 0.00752575i | ||||
\(556\) | −0.0878579 | − | 0.362155i | −0.00372601 | − | 0.0153588i | ||||
\(557\) | −8.08240 | + | 23.3526i | −0.342462 | + | 0.989480i | 0.633914 | + | 0.773403i | \(0.281447\pi\) |
−0.976376 | + | 0.216076i | \(0.930674\pi\) | |||||||
\(558\) | 6.78161 | − | 27.9542i | 0.287088 | − | 1.18339i | ||||
\(559\) | 3.42944 | + | 2.20397i | 0.145050 | + | 0.0932179i | ||||
\(560\) | −36.4532 | + | 16.5987i | −1.54043 | + | 0.701423i | ||||
\(561\) | −1.62464 | + | 1.87494i | −0.0685925 | + | 0.0791600i | ||||
\(562\) | −1.21603 | − | 25.5276i | −0.0512951 | − | 1.07682i | ||||
\(563\) | −6.05689 | + | 4.76319i | −0.255267 | + | 0.200744i | −0.737589 | − | 0.675250i | \(-0.764036\pi\) |
0.482322 | + | 0.875994i | \(0.339794\pi\) | |||||||
\(564\) | −0.00869159 | + | 0.00683514i | −0.000365982 | + | 0.000287811i | ||||
\(565\) | −2.95763 | − | 62.0882i | −0.124428 | − | 2.61207i | ||||
\(566\) | −7.18778 | + | 8.29514i | −0.302125 | + | 0.348671i | ||||
\(567\) | 15.6529 | − | 7.12746i | 0.657361 | − | 0.299325i | ||||
\(568\) | 33.0970 | + | 21.2701i | 1.38872 | + | 0.892474i | ||||
\(569\) | −10.6890 | + | 44.0605i | −0.448104 | + | 1.84711i | 0.0783775 | + | 0.996924i | \(0.475026\pi\) |
−0.526482 | + | 0.850186i | \(0.676489\pi\) | |||||||
\(570\) | 1.29570 | − | 3.74367i | 0.0542708 | − | 0.156805i | ||||
\(571\) | 3.51929 | + | 14.5067i | 0.147278 | + | 0.607086i | 0.996829 | + | 0.0795797i | \(0.0253578\pi\) |
−0.849551 | + | 0.527507i | \(0.823127\pi\) | |||||||
\(572\) | −0.270041 | − | 0.0257858i | −0.0112910 | − | 0.00107816i | ||||
\(573\) | −0.0980210 | + | 0.681751i | −0.00409489 | + | 0.0284806i | ||||
\(574\) | 3.48329 | − | 17.9656i | 0.145390 | − | 0.749870i | ||||
\(575\) | 6.70857 | − | 46.1093i | 0.279767 | − | 1.92289i | ||||
\(576\) | 10.9921 | − | 19.0389i | 0.458006 | − | 0.793289i | ||||
\(577\) | 7.92585 | − | 3.17303i | 0.329957 | − | 0.132095i | −0.200768 | − | 0.979639i | \(-0.564344\pi\) |
0.530725 | + | 0.847544i | \(0.321920\pi\) | |||||||
\(578\) | 8.25525 | − | 11.5929i | 0.343373 | − | 0.482200i | ||||
\(579\) | 2.88290 | − | 2.74884i | 0.119809 | − | 0.114238i | ||||
\(580\) | −0.201606 | − | 0.232665i | −0.00837122 | − | 0.00966091i | ||||
\(581\) | −3.01722 | + | 2.14350i | −0.125175 | + | 0.0889275i | ||||
\(582\) | 2.20975 | + | 1.42012i | 0.0915972 | + | 0.0588659i | ||||
\(583\) | −1.90987 | − | 2.68203i | −0.0790986 | − | 0.111078i | ||||
\(584\) | 1.42171 | + | 0.274012i | 0.0588308 | + | 0.0113387i | ||||
\(585\) | −53.7651 | − | 27.7178i | −2.22291 | − | 1.14599i | ||||
\(586\) | −5.21992 | − | 2.08974i | −0.215633 | − | 0.0863264i | ||||
\(587\) | 3.87781 | + | 26.9708i | 0.160054 | + | 1.11320i | 0.898527 | + | 0.438919i | \(0.144639\pi\) |
−0.738472 | + | 0.674284i | \(0.764452\pi\) | |||||||
\(588\) | 0.0646714 | + | 0.0749705i | 0.00266700 | + | 0.00309173i | ||||
\(589\) | 6.78323 | − | 7.82826i | 0.279498 | − | 0.322558i | ||||
\(590\) | 6.60787 | + | 9.27945i | 0.272042 | + | 0.382029i | ||||
\(591\) | 0.615429 | − | 12.9194i | 0.0253154 | − | 0.531435i | ||||
\(592\) | −2.59296 | − | 2.47238i | −0.106570 | − | 0.101614i | ||||
\(593\) | −1.95733 | + | 0.377244i | −0.0803777 | + | 0.0154915i | −0.229282 | − | 0.973360i | \(-0.573638\pi\) |
0.148904 | + | 0.988852i | \(0.452426\pi\) | |||||||
\(594\) | 7.28943 | + | 2.14037i | 0.299089 | + | 0.0878204i | ||||
\(595\) | 18.3356 | + | 19.2726i | 0.751685 | + | 0.790099i | ||||
\(596\) | 0.0448737 | − | 0.312103i | 0.00183810 | − | 0.0127842i | ||||
\(597\) | 5.87878 | − | 10.1823i | 0.240602 | − | 0.416735i | ||||
\(598\) | −22.7666 | + | 31.8579i | −0.930997 | + | 1.30277i | ||||
\(599\) | 16.2674 | + | 28.1760i | 0.664669 | + | 1.15124i | 0.979375 | + | 0.202051i | \(0.0647606\pi\) |
−0.314706 | + | 0.949189i | \(0.601906\pi\) | |||||||
\(600\) | 11.6440 | + | 9.15692i | 0.475363 | + | 0.373830i | ||||
\(601\) | −1.19239 | − | 2.61097i | −0.0486387 | − | 0.106504i | 0.883753 | − | 0.467954i | \(-0.155009\pi\) |
−0.932391 | + | 0.361451i | \(0.882282\pi\) | |||||||
\(602\) | −1.19722 | + | 2.31597i | −0.0487951 | + | 0.0943918i | ||||
\(603\) | 22.6593 | + | 26.1503i | 0.922759 | + | 1.06492i | ||||
\(604\) | −0.0846974 | + | 0.349128i | −0.00344629 | + | 0.0142058i | ||||
\(605\) | −1.43768 | + | 30.1805i | −0.0584498 | + | 1.22701i | ||||
\(606\) | 9.97588 | − | 0.952581i | 0.405242 | − | 0.0386959i | ||||
\(607\) | −9.83664 | − | 28.4211i | −0.399257 | − | 1.15358i | −0.948188 | − | 0.317709i | \(-0.897086\pi\) |
0.548931 | − | 0.835867i | \(-0.315035\pi\) | |||||||
\(608\) | 0.172489 | − | 0.110852i | 0.00699534 | − | 0.00449563i | ||||
\(609\) | 2.33201 | − | 3.61984i | 0.0944979 | − | 0.146683i | ||||
\(610\) | −6.65043 | − | 46.2548i | −0.269268 | − | 1.87280i | ||||
\(611\) | −0.216183 | − | 4.53824i | −0.00874584 | − | 0.183598i | ||||
\(612\) | −0.184407 | − | 0.0355416i | −0.00745423 | − | 0.00143668i | ||||
\(613\) | 14.3581 | − | 1.37103i | 0.579918 | − | 0.0553754i | 0.199025 | − | 0.979994i | \(-0.436223\pi\) |
0.380893 | + | 0.924619i | \(0.375617\pi\) | |||||||
\(614\) | −37.2682 | + | 19.2131i | −1.50402 | + | 0.775378i | ||||
\(615\) | −9.70577 | + | 2.84987i | −0.391374 | + | 0.114918i | ||||
\(616\) | 0.0147837 | − | 13.3116i | 0.000595652 | − | 0.536341i | ||||
\(617\) | 23.8673 | + | 7.00807i | 0.960861 | + | 0.282134i | 0.724302 | − | 0.689483i | \(-0.242162\pi\) |
0.236559 | + | 0.971617i | \(0.423980\pi\) | |||||||
\(618\) | −11.2218 | − | 1.07155i | −0.451406 | − | 0.0431040i | ||||
\(619\) | 32.8798 | − | 13.1631i | 1.32155 | − | 0.529069i | 0.399711 | − | 0.916641i | \(-0.369111\pi\) |
0.921839 | + | 0.387573i | \(0.126686\pi\) | |||||||
\(620\) | 0.382280 | + | 0.662128i | 0.0153527 | + | 0.0265917i | ||||
\(621\) | −10.6374 | + | 10.1086i | −0.426862 | + | 0.405646i | ||||
\(622\) | 0.244540 | 0.00980515 | ||||||||
\(623\) | −46.5081 | − | 16.1545i | −1.86331 | − | 0.647215i | ||||
\(624\) | −5.10301 | − | 11.1740i | −0.204284 | − | 0.447319i | ||||
\(625\) | 15.0653 | − | 14.3647i | 0.602611 | − | 0.574588i | ||||
\(626\) | 1.98124 | − | 5.72443i | 0.0791864 | − | 0.228794i | ||||
\(627\) | 0.940270 | + | 0.896545i | 0.0375508 | + | 0.0358046i | ||||
\(628\) | 0.166419 | − | 0.0857948i | 0.00664083 | − | 0.00342359i | ||||
\(629\) | −0.988441 | + | 2.16438i | −0.0394117 | + | 0.0862996i | ||||
\(630\) | 14.4177 | − | 35.8980i | 0.574413 | − | 1.43021i | ||||
\(631\) | 24.4843 | − | 15.7351i | 0.974703 | − | 0.626403i | 0.0466733 | − | 0.998910i | \(-0.485138\pi\) |
0.928029 | + | 0.372507i | \(0.121502\pi\) | |||||||
\(632\) | −4.28093 | − | 1.71383i | −0.170286 | − | 0.0681724i | ||||
\(633\) | −9.82614 | + | 7.72736i | −0.390554 | + | 0.307135i | ||||
\(634\) | 7.46917 | + | 3.85062i | 0.296639 | + | 0.152928i | ||||
\(635\) | −12.4965 | − | 36.1063i | −0.495909 | − | 1.43283i | ||||
\(636\) | −0.0109463 | + | 0.0239691i | −0.000434051 | + | 0.000950438i | ||||
\(637\) | −40.5071 | + | 3.77719i | −1.60495 | + | 0.149658i | ||||
\(638\) | −7.23936 | + | 2.12567i | −0.286609 | + | 0.0841560i | ||||
\(639\) | −36.8180 | + | 7.09610i | −1.45650 | + | 0.280717i | ||||
\(640\) | −10.0247 | − | 41.3225i | −0.396262 | − | 1.63341i | ||||
\(641\) | −5.37157 | + | 7.54332i | −0.212164 | + | 0.297943i | −0.906920 | − | 0.421303i | \(-0.861573\pi\) |
0.694756 | + | 0.719246i | \(0.255512\pi\) | |||||||
\(642\) | −0.298179 | − | 0.234490i | −0.0117682 | − | 0.00925460i | ||||
\(643\) | −35.0069 | −1.38054 | −0.690268 | − | 0.723553i | \(-0.742508\pi\) | ||||
−0.690268 | + | 0.723553i | \(0.742508\pi\) | |||||||
\(644\) | 0.289736 | + | 0.168359i | 0.0114172 | + | 0.00663426i | ||||
\(645\) | 1.44110 | 0.0567431 | ||||||||
\(646\) | 3.97255 | + | 3.12405i | 0.156298 | + | 0.122914i | ||||
\(647\) | 23.6490 | − | 33.2103i | 0.929737 | − | 1.30563i | −0.0223330 | − | 0.999751i | \(-0.507109\pi\) |
0.952070 | − | 0.305882i | \(-0.0989512\pi\) | |||||||
\(648\) | 4.36300 | + | 17.9845i | 0.171395 | + | 0.706499i | ||||
\(649\) | −3.66842 | + | 0.707029i | −0.143998 | + | 0.0277533i | ||||
\(650\) | −76.1127 | + | 22.3487i | −2.98538 | + | 0.876588i | ||||
\(651\) | −7.38812 | + | 7.73123i | −0.289563 | + | 0.303011i | ||||
\(652\) | −0.0387561 | + | 0.0848641i | −0.00151781 | + | 0.00332353i | ||||
\(653\) | −3.09881 | − | 8.95343i | −0.121266 | − | 0.350375i | 0.867987 | − | 0.496586i | \(-0.165413\pi\) |
−0.989253 | + | 0.146211i | \(0.953292\pi\) | |||||||
\(654\) | −11.2123 | − | 5.78032i | −0.438434 | − | 0.226028i | ||||
\(655\) | −31.6853 | + | 24.9176i | −1.23805 | + | 0.973612i | ||||
\(656\) | 18.0388 | + | 7.22165i | 0.704298 | + | 0.281958i | ||||
\(657\) | −1.16085 | + | 0.746036i | −0.0452892 | + | 0.0291056i | ||||
\(658\) | 2.87654 | − | 0.410324i | 0.112139 | − | 0.0159961i | ||||
\(659\) | 10.9147 | − | 23.8999i | 0.425178 | − | 0.931009i | −0.568907 | − | 0.822402i | \(-0.692634\pi\) |
0.994085 | − | 0.108608i | \(-0.0346392\pi\) | |||||||
\(660\) | −0.0852352 | + | 0.0439418i | −0.00331777 | + | 0.00171043i | ||||
\(661\) | 9.83523 | + | 9.37787i | 0.382546 | + | 0.364757i | 0.856816 | − | 0.515623i | \(-0.172439\pi\) |
−0.474270 | + | 0.880380i | \(0.657288\pi\) | |||||||
\(662\) | −12.0165 | + | 34.7194i | −0.467035 | + | 1.34941i | ||||
\(663\) | −5.90439 | + | 5.62983i | −0.229308 | + | 0.218644i | ||||
\(664\) | −1.65432 | − | 3.62247i | −0.0642002 | − | 0.140579i | ||||
\(665\) | 10.5381 | − | 9.11082i | 0.408649 | − | 0.353303i | ||||
\(666\) | 3.46027 | 0.134083 | ||||||||
\(667\) | 3.45964 | − | 14.1570i | 0.133958 | − | 0.548162i | ||||
\(668\) | −0.112465 | − | 0.194796i | −0.00435141 | − | 0.00753687i | ||||
\(669\) | −4.71093 | + | 1.88597i | −0.182135 | + | 0.0729159i | ||||
\(670\) | 68.4180 | + | 6.53313i | 2.64322 | + | 0.252397i | ||||
\(671\) | 14.7045 | + | 4.31762i | 0.567660 | + | 0.166680i | ||||
\(672\) | −0.183436 | + | 0.105635i | −0.00707620 | + | 0.00407498i | ||||
\(673\) | 11.3390 | − | 3.32944i | 0.437088 | − | 0.128341i | −0.0557832 | − | 0.998443i | \(-0.517766\pi\) |
0.492871 | + | 0.870102i | \(0.335947\pi\) | |||||||
\(674\) | −18.3517 | + | 9.46097i | −0.706882 | + | 0.364423i | ||||
\(675\) | −29.5937 | + | 2.82585i | −1.13906 | + | 0.108767i | ||||
\(676\) | −0.538807 | − | 0.103846i | −0.0207233 | − | 0.00399409i | ||||
\(677\) | 0.457501 | + | 9.60412i | 0.0175832 | + | 0.369116i | 0.990461 | + | 0.137796i | \(0.0440017\pi\) |
−0.972878 | + | 0.231321i | \(0.925695\pi\) | |||||||
\(678\) | 1.73504 | + | 12.0675i | 0.0666339 | + | 0.463449i | ||||
\(679\) | 4.22338 | + | 8.21461i | 0.162079 | + | 0.315248i | ||||
\(680\) | −24.0788 | + | 15.4745i | −0.923381 | + | 0.593421i | ||||
\(681\) | −0.584199 | − | 1.68793i | −0.0223865 | − | 0.0646817i | ||||
\(682\) | 18.6528 | − | 1.78113i | 0.714254 | − | 0.0682030i | ||||
\(683\) | −1.54955 | + | 32.5291i | −0.0592920 | + | 1.24469i | 0.751649 | + | 0.659564i | \(0.229259\pi\) |
−0.810941 | + | 0.585128i | \(0.801044\pi\) | |||||||
\(684\) | −0.0231863 | + | 0.0955751i | −0.000886549 | + | 0.00365441i | ||||
\(685\) | −30.5052 | − | 35.2049i | −1.16554 | − | 1.34511i | ||||
\(686\) | −4.83881 | − | 25.5642i | −0.184747 | − | 0.976045i | ||||
\(687\) | −2.02202 | − | 4.42761i | −0.0771449 | − | 0.168924i | ||||
\(688\) | −2.17593 | − | 1.71117i | −0.0829566 | − | 0.0652378i | ||||
\(689\) | −5.41364 | − | 9.37670i | −0.206243 | − | 0.357224i | ||||
\(690\) | −0.681855 | + | 13.8253i | −0.0259578 | + | 0.526321i | ||||
\(691\) | −0.564011 | + | 0.976895i | −0.0214560 | + | 0.0371628i | −0.876554 | − | 0.481303i | \(-0.840164\pi\) |
0.855098 | + | 0.518466i | \(0.173497\pi\) | |||||||
\(692\) | −0.0300220 | + | 0.208808i | −0.00114127 | + | 0.00793769i | ||||
\(693\) | 8.74467 | + | 9.19156i | 0.332182 | + | 0.349159i | ||||
\(694\) | −44.1120 | − | 12.9525i | −1.67447 | − | 0.491669i | ||||
\(695\) | 53.1523 | − | 10.2443i | 2.01618 | − | 0.388587i | ||||
\(696\) | 3.35319 | + | 3.19726i | 0.127102 | + | 0.121192i | ||||
\(697\) | 0.614019 | − | 12.8899i | 0.0232576 | − | 0.488238i | ||||
\(698\) | 9.25558 | + | 12.9976i | 0.350329 | + | 0.491968i | ||||
\(699\) | −3.22609 | + | 3.72311i | −0.122022 | + | 0.140821i | ||||
\(700\) | 0.251608 | + | 0.630515i | 0.00950990 | + | 0.0238312i | ||||
\(701\) | 2.70604 | + | 18.8209i | 0.102206 | + | 0.710857i | 0.974909 | + | 0.222605i | \(0.0714561\pi\) |
−0.872703 | + | 0.488252i | \(0.837635\pi\) | |||||||
\(702\) | 23.1931 | + | 9.28511i | 0.875367 | + | 0.350444i | ||||
\(703\) | 1.10753 | + | 0.570970i | 0.0417712 | + | 0.0215345i | ||||
\(704\) | 14.0619 | + | 2.71020i | 0.529977 | + | 0.102145i | ||||
\(705\) | −0.931639 | − | 1.30830i | −0.0350875 | − | 0.0492736i | ||||
\(706\) | −8.88742 | − | 5.71160i | −0.334482 | − | 0.214959i | ||||
\(707\) | 32.0382 | + | 14.6744i | 1.20492 | + | 0.551886i | ||||
\(708\) | 0.0195795 | + | 0.0225960i | 0.000735843 | + | 0.000849208i | ||||
\(709\) | −8.51298 | + | 8.11711i | −0.319712 | + | 0.304844i | −0.832891 | − | 0.553437i | \(-0.813316\pi\) |
0.513180 | + | 0.858281i | \(0.328468\pi\) | |||||||
\(710\) | −43.2011 | + | 60.6674i | −1.62131 | + | 2.27681i | ||||
\(711\) | 4.07998 | − | 1.63338i | 0.153011 | − | 0.0612564i | ||||
\(712\) | 26.4874 | − | 45.8776i | 0.992659 | − | 1.71934i | ||||
\(713\) | −15.0904 | + | 32.8970i | −0.565140 | + | 1.23200i | ||||
\(714\) | −3.93931 | − | 3.42110i | −0.147425 | − | 0.128031i | ||||
\(715\) | 5.60764 | − | 39.0020i | 0.209714 | − | 1.45859i | ||||
\(716\) | 0.328462 | + | 0.0313643i | 0.0122752 | + | 0.00117214i | ||||
\(717\) | 0.478400 | + | 1.97199i | 0.0178662 | + | 0.0736453i | ||||
\(718\) | 10.9514 | − | 31.6421i | 0.408704 | − | 1.18087i | ||||
\(719\) | −6.56320 | + | 27.0539i | −0.244766 | + | 1.00894i | 0.708236 | + | 0.705976i | \(0.249491\pi\) |
−0.953002 | + | 0.302964i | \(0.902024\pi\) | |||||||
\(720\) | 34.5543 | + | 22.2067i | 1.28776 | + | 0.827596i | ||||
\(721\) | −32.2641 | − | 23.0292i | −1.20158 | − | 0.857654i | ||||
\(722\) | −15.7465 | + | 18.1724i | −0.586022 | + | 0.676306i | ||||
\(723\) | 0.117406 | + | 2.46465i | 0.00436637 | + | 0.0916613i | ||||
\(724\) | −0.421485 | + | 0.331460i | −0.0156644 | + | 0.0123186i | ||||
\(725\) | 23.2075 | − | 18.2506i | 0.861905 | − | 0.677809i | ||||
\(726\) | −0.281981 | − | 5.91950i | −0.0104653 | − | 0.219693i | ||||
\(727\) | 13.8598 | − | 15.9951i | 0.514031 | − | 0.593224i | −0.438095 | − | 0.898929i | \(-0.644347\pi\) |
0.952126 | + | 0.305705i | \(0.0988921\pi\) | |||||||
\(728\) | 4.20939 | − | 43.5713i | 0.156011 | − | 1.61486i | ||||
\(729\) | −10.7017 | − | 6.87759i | −0.396361 | − | 0.254726i | ||||
\(730\) | −0.646193 | + | 2.66364i | −0.0239167 | + | 0.0985859i | ||||
\(731\) | −0.601289 | + | 1.73731i | −0.0222395 | + | 0.0642568i | ||||
\(732\) | −0.0289154 | − | 0.119191i | −0.00106875 | − | 0.00440543i | ||||
\(733\) | 37.2473 | + | 3.55668i | 1.37576 | + | 0.131369i | 0.756591 | − | 0.653889i | \(-0.226864\pi\) |
0.619169 | + | 0.785258i | \(0.287470\pi\) | |||||||
\(734\) | −1.06845 | + | 7.43120i | −0.0394371 | + | 0.274291i | ||||
\(735\) | −11.3244 | + | 8.86501i | −0.417709 | + | 0.326991i | ||||
\(736\) | −0.470068 | + | 0.540649i | −0.0173269 | + | 0.0199286i | ||||
\(737\) | −11.2699 | + | 19.5200i | −0.415131 | + | 0.719029i | ||||
\(738\) | −17.4221 | + | 6.97478i | −0.641318 | + | 0.256745i | ||||
\(739\) | 8.32975 | − | 11.6975i | 0.306415 | − | 0.430299i | −0.632442 | − | 0.774608i | \(-0.717947\pi\) |
0.938857 | + | 0.344309i | \(0.111887\pi\) | |||||||
\(740\) | −0.0665634 | + | 0.0634681i | −0.00244692 | + | 0.00233313i | ||||
\(741\) | 2.79775 | + | 3.22878i | 0.102778 | + | 0.118612i | ||||
\(742\) | 5.64493 | − | 4.01029i | 0.207232 | − | 0.147222i | ||||
\(743\) | 17.0724 | + | 10.9717i | 0.626324 | + | 0.402514i | 0.814947 | − | 0.579536i | \(-0.196766\pi\) |
−0.188623 | + | 0.982050i | \(0.560402\pi\) | |||||||
\(744\) | −6.67432 | − | 9.37278i | −0.244693 | − | 0.343623i | ||||
\(745\) | 44.9729 | + | 8.66782i | 1.64768 | + | 0.317564i | ||||
\(746\) | −6.46141 | − | 3.33109i | −0.236569 | − | 0.121960i | ||||
\(747\) | 3.52353 | + | 1.41061i | 0.128919 | + | 0.0516115i | ||||
\(748\) | −0.0174100 | − | 0.121090i | −0.000636574 | − | 0.00442747i | ||||
\(749\) | −0.494387 | − | 1.23891i | −0.0180645 | − | 0.0452686i | ||||
\(750\) | −8.91317 | + | 10.2863i | −0.325463 | + | 0.375604i | ||||
\(751\) | 3.68327 | + | 5.17243i | 0.134404 | + | 0.188745i | 0.876293 | − | 0.481779i | \(-0.160009\pi\) |
−0.741889 | + | 0.670523i | \(0.766070\pi\) | |||||||
\(752\) | −0.146798 | + | 3.08166i | −0.00535316 | + | 0.112377i | ||||
\(753\) | 2.36311 | + | 2.25322i | 0.0861166 | + | 0.0821120i | ||||
\(754\) | −24.3627 | + | 4.69552i | −0.887237 | + | 0.171001i | ||||
\(755\) | −50.0695 | − | 14.7017i | −1.82222 | − | 0.535051i | ||||
\(756\) | 0.0604620 | − | 0.205072i | 0.00219898 | − | 0.00745839i | ||||
\(757\) | −6.79659 | + | 47.2713i | −0.247026 | + | 1.71811i | 0.368193 | + | 0.929749i | \(0.379977\pi\) |
−0.615219 | + | 0.788356i | \(0.710933\pi\) | |||||||
\(758\) | 0.764096 | − | 1.32345i | 0.0277532 | − | 0.0480700i | ||||
\(759\) | −4.03139 | − | 2.08691i | −0.146330 | − | 0.0757499i | ||||
\(760\) | 7.49450 | + | 12.9809i | 0.271854 | + | 0.470865i | ||||
\(761\) | 35.2786 | + | 27.7434i | 1.27885 | + | 1.00570i | 0.998957 | + | 0.0456640i | \(0.0145404\pi\) |
0.279890 | + | 0.960032i | \(0.409702\pi\) | |||||||
\(762\) | 3.11309 | + | 6.81671i | 0.112775 | + | 0.246943i | ||||
\(763\) | −23.9403 | − | 37.3429i | −0.866697 | − | 1.35191i | ||||
\(764\) | −0.0222412 | − | 0.0256677i | −0.000804658 | − | 0.000928625i | ||||
\(765\) | 6.43126 | − | 26.5100i | 0.232523 | − | 0.958472i | ||||
\(766\) | 0.667727 | − | 14.0173i | 0.0241260 | − | 0.506466i | ||||
\(767\) | −12.2297 | + | 1.16779i | −0.441588 | + | 0.0421665i | ||||
\(768\) | −0.111008 | − | 0.320736i | −0.00400565 | − | 0.0115736i | ||||
\(769\) | 17.2385 | − | 11.0785i | 0.621636 | − | 0.399501i | −0.191569 | − | 0.981479i | \(-0.561357\pi\) |
0.813204 | + | 0.581978i | \(0.197721\pi\) | |||||||
\(770\) | 25.1697 | + | 1.22700i | 0.907055 | + | 0.0442180i | ||||
\(771\) | −0.980387 | − | 6.81874i | −0.0353078 | − | 0.245571i | ||||
\(772\) | 0.00934617 | + | 0.196200i | 0.000336376 | + | 0.00706140i | ||||
\(773\) | 22.3593 | + | 4.30941i | 0.804209 | + | 0.154999i | 0.574760 | − | 0.818322i | \(-0.305095\pi\) |
0.229449 | + | 0.973321i | \(0.426308\pi\) | |||||||
\(774\) | 2.66143 | − | 0.254136i | 0.0956633 | − | 0.00913473i | ||||
\(775\) | −65.1711 | + | 33.5981i | −2.34102 | + | 1.20688i | ||||
\(776\) | −9.53599 | + | 2.80002i | −0.342322 | + | 0.100515i | ||||
\(777\) | −1.11334 | − | 0.644436i | −0.0399408 | − | 0.0231190i | ||||
\(778\) | −40.6991 | − | 11.9503i | −1.45913 | − | 0.428440i | ||||
\(779\) | −6.72719 | − | 0.642368i | −0.241026 | − | 0.0230152i | ||||
\(780\) | −0.292755 | + | 0.117201i | −0.0104823 | + | 0.00419649i | ||||
\(781\) | −12.2124 | − | 21.1525i | −0.436995 | − | 0.756897i | ||||
\(782\) | −16.3826 | − | 6.59054i | −0.585840 | − | 0.235677i | ||||
\(783\) | −9.29822 | −0.332291 | ||||||||
\(784\) | 27.6253 | + | 0.0613606i | 0.986618 | + | 0.00219145i | ||||
\(785\) | 11.2978 | + | 24.7387i | 0.403235 | + | 0.882960i | ||||
\(786\) | 5.72195 | − | 5.45587i | 0.204095 | − | 0.194604i | ||||
\(787\) | 2.10663 | − | 6.08669i | 0.0750931 | − | 0.216967i | −0.901207 | − | 0.433389i | \(-0.857318\pi\) |
0.976300 | + | 0.216422i | \(0.0694387\pi\) | |||||||
\(788\) | 0.461589 | + | 0.440124i | 0.0164434 | + | 0.0156788i | ||||
\(789\) | 3.37798 | − | 1.74147i | 0.120259 | − | 0.0619980i | ||||
\(790\) | 3.62630 | − | 7.94048i | 0.129018 | − | 0.282510i | ||||
\(791\) | −15.9776 | + | 39.7820i | −0.568098 | + | 1.41449i | ||||
\(792\) | −11.4838 | + | 7.38017i | −0.408058 | + | 0.262243i | ||||
\(793\) | 46.7859 | + | 18.7302i | 1.66141 | + | 0.665130i | ||||
\(794\) | 37.9981 | − | 29.8821i | 1.34850 | − | 1.06047i | ||||
\(795\) | −3.40203 | − | 1.75387i | −0.120657 | − | 0.0622032i | ||||
\(796\) | 0.189625 | + | 0.547885i | 0.00672108 | + | 0.0194193i | ||||
\(797\) | 6.70765 | − | 14.6877i | 0.237597 | − | 0.520265i | −0.752844 | − | 0.658198i | \(-0.771319\pi\) |
0.990441 | + | 0.137934i | \(0.0440461\pi\) | |||||||
\(798\) | −1.88768 | + | 1.97535i | −0.0668232 | + | 0.0699265i | ||||
\(799\) | 1.96594 | − | 0.577253i | 0.0695501 | − | 0.0204217i | ||||
\(800\) | −1.42515 | + | 0.274675i | −0.0503866 | + | 0.00971122i | ||||
\(801\) | 11.9030 | + | 49.0650i | 0.420573 | + | 1.73363i | ||||
\(802\) | 19.9858 | − | 28.0661i | 0.705723 | − | 0.991049i | ||||
\(803\) | −0.706568 | − | 0.555651i | −0.0249342 | − | 0.0196085i | ||||
\(804\) | 0.180386 | 0.00636173 | ||||||||
\(805\) | −26.4297 | + | 40.8742i | −0.931523 | + | 1.44063i | ||||
\(806\) | 61.6173 | 2.17038 | ||||||||
\(807\) | 6.23893 | + | 4.90635i | 0.219621 | + | 0.172712i | ||||
\(808\) | −21.9938 | + | 30.8859i | −0.773738 | + | 1.08656i | ||||
\(809\) | −6.00997 | − | 24.7734i | −0.211299 | − | 0.870987i | −0.974421 | − | 0.224732i | \(-0.927849\pi\) |
0.763121 | − | 0.646255i | \(-0.223666\pi\) | |||||||
\(810\) | −34.4001 | + | 6.63008i | −1.20870 | + | 0.232957i | ||||
\(811\) | 49.7315 | − | 14.6025i | 1.74631 | − | 0.512763i | 0.756356 | − | 0.654160i | \(-0.226978\pi\) |
0.989953 | + | 0.141397i | \(0.0451595\pi\) | |||||||
\(812\) | 0.0595942 | + | 0.203796i | 0.00209135 | + | 0.00715184i | ||||
\(813\) | −3.51395 | + | 7.69448i | −0.123240 | + | 0.269857i | ||||
\(814\) | 0.737223 | + | 2.13007i | 0.0258397 | + | 0.0746588i | ||||
\(815\) | −12.0451 | − | 6.20966i | −0.421920 | − | 0.217515i | ||||
\(816\) | 4.35457 | − | 3.42447i | 0.152440 | − | 0.119880i | ||||
\(817\) | 0.893778 | + | 0.357815i | 0.0312693 | + | 0.0125184i | ||||
\(818\) | 33.6237 | − | 21.6086i | 1.17562 | − | 0.755528i | ||||
\(819\) | 25.7528 | + | 32.8223i | 0.899875 | + | 1.14690i | ||||
\(820\) | 0.207210 | − | 0.453727i | 0.00723609 | − | 0.0158448i | ||||
\(821\) | −29.5371 | + | 15.2274i | −1.03085 | + | 0.531441i | −0.888741 | − | 0.458410i | \(-0.848419\pi\) |
−0.142111 | + | 0.989851i | \(0.545389\pi\) | |||||||
\(822\) | 6.61246 | + | 6.30496i | 0.230636 | + | 0.219911i | ||||
\(823\) | 5.96318 | − | 17.2295i | 0.207863 | − | 0.600582i | −0.792088 | − | 0.610406i | \(-0.791006\pi\) |
0.999952 | + | 0.00982471i | \(0.00312735\pi\) | |||||||
\(824\) | 30.8687 | − | 29.4332i | 1.07536 | − | 1.02536i | ||||
\(825\) | −3.82034 | − | 8.36538i | −0.133007 | − | 0.291245i | ||||
\(826\) | −1.47835 | − | 7.71653i | −0.0514385 | − | 0.268493i | ||||
\(827\) | 48.6187 | 1.69064 | 0.845319 | − | 0.534263i | \(-0.179411\pi\) | ||||
0.845319 | + | 0.534263i | \(0.179411\pi\) | |||||||
\(828\) | −0.0157744 | − | 0.343275i | −0.000548199 | − | 0.0119296i | ||||
\(829\) | −2.62291 | − | 4.54301i | −0.0910974 | − | 0.157785i | 0.816876 | − | 0.576814i | \(-0.195704\pi\) |
−0.907973 | + | 0.419028i | \(0.862371\pi\) | |||||||
\(830\) | 6.99877 | − | 2.80188i | 0.242931 | − | 0.0972548i | ||||
\(831\) | 5.03644 | + | 0.480922i | 0.174712 | + | 0.0166830i | ||||
\(832\) | 45.1848 | + | 13.2674i | 1.56650 | + | 0.459966i | ||||
\(833\) | −5.96213 | − | 17.3510i | −0.206576 | − | 0.601178i | ||||
\(834\) | −10.1869 | + | 2.99115i | −0.352744 | + | 0.103575i | ||||
\(835\) | 29.0402 | − | 14.9713i | 1.00498 | − | 0.518102i | ||||
\(836\) | −0.0637739 | + | 0.00608967i | −0.00220567 | + | 0.000210616i | ||||
\(837\) | 22.6745 | + | 4.37015i | 0.783745 | + | 0.151054i | ||||
\(838\) | 1.79547 | + | 37.6915i | 0.0620235 | + | 1.30203i | ||||
\(839\) | 0.984604 | + | 6.84807i | 0.0339923 | + | 0.236422i | 0.999733 | − | 0.0230855i | \(-0.00734898\pi\) |
−0.965741 | + | 0.259507i | \(0.916440\pi\) | |||||||
\(840\) | −7.07552 | − | 13.7621i | −0.244129 | − | 0.474838i | ||||
\(841\) | −16.6279 | + | 10.6861i | −0.573377 | + | 0.368487i | ||||
\(842\) | −2.50789 | − | 7.24608i | −0.0864277 | − | 0.249716i | ||||
\(843\) | 9.69892 | − | 0.926134i | 0.334048 | − | 0.0318978i | ||||
\(844\) | 0.0293301 | − | 0.615714i | 0.00100958 | − | 0.0211938i | ||||
\(845\) | 18.7910 | − | 77.4577i | 0.646431 | − | 2.66463i | ||||
\(846\) | −1.95128 | − | 2.25190i | −0.0670864 | − | 0.0774218i | ||||
\(847\) | 9.56956 | − | 18.5119i | 0.328814 | − | 0.636075i | ||||
\(848\) | 3.05421 | + | 6.68778i | 0.104882 | + | 0.229659i | ||||
\(849\) | −3.28919 | − | 2.58665i | −0.112885 | − | 0.0887735i | ||||
\(850\) | −17.8869 | − | 30.9810i | −0.613514 | − | 1.06264i | ||||
\(851\) | −4.27375 | − | 0.831144i | −0.146502 | − | 0.0284912i | ||||
\(852\) | −0.0977363 | + | 0.169284i | −0.00334839 | + | 0.00579958i | ||||
\(853\) | 1.05324 | − | 7.32548i | 0.0360624 | − | 0.250820i | −0.963813 | − | 0.266578i | \(-0.914107\pi\) |
0.999876 | + | 0.0157582i | \(0.00501618\pi\) | |||||||
\(854\) | −9.11454 | + | 30.9142i | −0.311893 | + | 1.05786i | ||||
\(855\) | −13.7067 | − | 4.02466i | −0.468761 | − | 0.137641i | ||||
\(856\) | 1.40933 | − | 0.271626i | 0.0481698 | − | 0.00928398i | ||||
\(857\) | 20.0831 | + | 19.1492i | 0.686025 | + | 0.654123i | 0.950663 | − | 0.310224i | \(-0.100404\pi\) |
−0.264638 | + | 0.964348i | \(0.585253\pi\) | |||||||
\(858\) | −0.367731 | + | 7.71963i | −0.0125541 | + | 0.263544i | ||||
\(859\) | 21.2180 | + | 29.7965i | 0.723949 | + | 1.01664i | 0.998483 | + | 0.0550661i | \(0.0175370\pi\) |
−0.274534 | + | 0.961577i | \(0.588524\pi\) | |||||||
\(860\) | −0.0465353 | + | 0.0537046i | −0.00158684 | + | 0.00183131i | ||||
\(861\) | 6.90453 | + | 1.00055i | 0.235306 | + | 0.0340986i | ||||
\(862\) | 0.785659 | + | 5.46438i | 0.0267597 | + | 0.186117i | ||||
\(863\) | 32.1999 | + | 12.8909i | 1.09610 | + | 0.438811i | 0.848038 | − | 0.529935i | \(-0.177784\pi\) |
0.248057 | + | 0.968745i | \(0.420208\pi\) | |||||||
\(864\) | 0.406280 | + | 0.209452i | 0.0138219 | + | 0.00712569i | ||||
\(865\) | −30.0884 | − | 5.79907i | −1.02304 | − | 0.197174i | ||||
\(866\) | −10.3425 | − | 14.5241i | −0.351454 | − | 0.493548i | ||||
\(867\) | 4.56434 | + | 2.93332i | 0.155013 | + | 0.0996209i | ||||
\(868\) | −0.0495415 | − | 0.524983i | −0.00168155 | − | 0.0178191i | ||||
\(869\) | 1.87473 | + | 2.16355i | 0.0635958 | + | 0.0733934i | ||||
\(870\) | −6.34777 | + | 6.05258i | −0.215209 | + | 0.205202i | ||||
\(871\) | −42.9939 | + | 60.3765i | −1.45679 | + | 2.04578i | ||||
\(872\) | 44.3097 | − | 17.7389i | 1.50052 | − | 0.600716i | ||||
\(873\) | 4.73602 | − | 8.20302i | 0.160290 | − | 0.277630i | ||||
\(874\) | −3.85563 | + | 8.40526i | −0.130419 | + | 0.284312i | ||||
\(875\) | −45.2462 | + | 15.6036i | −1.52960 | + | 0.527499i | ||||
\(876\) | −0.00102378 | + | 0.00712054i | −3.45903e−5 | + | 0.000240581i | ||||
\(877\) | −10.4215 | − | 0.995134i | −0.351910 | − | 0.0336033i | −0.0823955 | − | 0.996600i | \(-0.526257\pi\) |
−0.269514 | + | 0.962996i | \(0.586863\pi\) | |||||||
\(878\) | 1.40545 | + | 5.79333i | 0.0474315 | + | 0.195515i | ||||
\(879\) | 0.701090 | − | 2.02567i | 0.0236472 | − | 0.0683240i | ||||
\(880\) | −6.30805 | + | 26.0021i | −0.212644 | + | 0.876532i | ||||
\(881\) | −3.66892 | − | 2.35787i | −0.123609 | − | 0.0794387i | 0.477375 | − | 0.878699i | \(-0.341588\pi\) |
−0.600984 | + | 0.799261i | \(0.705225\pi\) | |||||||
\(882\) | −19.3508 | + | 18.3691i | −0.651575 | + | 0.618518i | ||||
\(883\) | 13.9611 | − | 16.1120i | 0.469828 | − | 0.542211i | −0.470536 | − | 0.882381i | \(-0.655939\pi\) |
0.940364 | + | 0.340170i | \(0.110485\pi\) | |||||||
\(884\) | −0.0191416 | − | 0.401832i | −0.000643802 | − | 0.0135151i | ||||
\(885\) | −3.41377 | + | 2.68462i | −0.114753 | + | 0.0902425i | ||||
\(886\) | −7.37092 | + | 5.79655i | −0.247631 | + | 0.194739i | ||||
\(887\) | −0.584731 | − | 12.2750i | −0.0196334 | − | 0.412155i | −0.987195 | − | 0.159519i | \(-0.949006\pi\) |
0.967561 | − | 0.252636i | \(-0.0812974\pi\) | |||||||
\(888\) | 0.906423 | − | 1.04607i | 0.0304176 | − | 0.0351037i | ||||
\(889\) | −2.53402 | + | 26.2296i | −0.0849885 | + | 0.879713i | ||||
\(890\) | 84.3645 | + | 54.2178i | 2.82790 | + | 1.81738i | ||||
\(891\) | 2.70867 | − | 11.1653i | 0.0907438 | − | 0.374051i | ||||
\(892\) | 0.0818399 | − | 0.236461i | 0.00274020 | − | 0.00791729i | ||||
\(893\) | −0.252966 | − | 1.04274i | −0.00846517 | − | 0.0348939i | ||||
\(894\) | −8.94249 | − | 0.853904i | −0.299082 | − | 0.0285588i | ||||
\(895\) | −6.82081 | + | 47.4398i | −0.227995 | + | 1.58574i | ||||
\(896\) | −5.58209 | + | 28.7906i | −0.186485 | + | 0.961825i | ||||
\(897\) | −12.5445 | − | 8.09169i | −0.418850 | − | 0.270174i | ||||
\(898\) | −20.8744 | + | 36.1556i | −0.696589 | + | 1.20653i | ||||
\(899\) | −21.2904 | + | 8.52340i | −0.710075 | + | 0.284271i | ||||
\(900\) | 0.403812 | − | 0.567075i | 0.0134604 | − | 0.0189025i | ||||
\(901\) | 3.53385 | − | 3.36952i | 0.117729 | − | 0.112255i | ||||
\(902\) | −8.00538 | − | 9.23870i | −0.266550 | − | 0.307615i | ||||
\(903\) | −0.903643 | − | 0.413894i | −0.0300714 | − | 0.0137735i | ||||
\(904\) | −38.8056 | − | 24.9388i | −1.29065 | − | 0.829453i | ||||
\(905\) | −45.1784 | − | 63.4442i | −1.50178 | − | 2.10896i | ||||
\(906\) | 10.0501 | + | 1.93700i | 0.333892 | + | 0.0643524i | ||||
\(907\) | −40.0196 | − | 20.6315i | −1.32883 | − | 0.685059i | −0.360038 | − | 0.932938i | \(-0.617236\pi\) |
−0.968791 | + | 0.247879i | \(0.920267\pi\) | |||||||
\(908\) | 0.0817680 | + | 0.0327350i | 0.00271356 | + | 0.00108635i | ||||
\(909\) | −5.14279 | − | 35.7689i | −0.170576 | − | 1.18638i | ||||
\(910\) | 82.0103 | + | 11.8843i | 2.71862 | + | 0.393960i | ||||
\(911\) | −3.69015 | + | 4.25865i | −0.122260 | + | 0.141096i | −0.813580 | − | 0.581454i | \(-0.802484\pi\) |
0.691320 | + | 0.722549i | \(0.257030\pi\) | |||||||
\(912\) | −1.68278 | − | 2.36314i | −0.0557225 | − | 0.0782513i | ||||
\(913\) | −0.117639 | + | 2.46955i | −0.00389328 | + | 0.0817301i | ||||
\(914\) | −26.5371 | − | 25.3031i | −0.877769 | − | 0.836951i | ||||
\(915\) | 17.4933 | − | 3.37155i | 0.578310 | − | 0.111460i | ||||
\(916\) | 0.230296 | + | 0.0676209i | 0.00760918 | + | 0.00223426i | ||||
\(917\) | 27.0249 | − | 6.52440i | 0.892441 | − | 0.215455i | ||||
\(918\) | −1.60338 | + | 11.1518i | −0.0529196 | + | 0.368064i | ||||
\(919\) | 5.44889 | − | 9.43776i | 0.179742 | − | 0.311323i | −0.762050 | − | 0.647518i | \(-0.775807\pi\) |
0.941792 | + | 0.336195i | \(0.109140\pi\) | |||||||
\(920\) | −37.8436 | − | 36.2053i | −1.24767 | − | 1.19365i | ||||
\(921\) | −7.99243 | − | 13.8433i | −0.263360 | − | 0.456152i | ||||
\(922\) | −10.9189 | − | 8.58676i | −0.359596 | − | 0.282790i | ||||
\(923\) | −33.3658 | − | 73.0608i | −1.09825 | − | 2.40483i | ||||
\(924\) | 0.0660673 | − | 0.00307364i | 0.00217346 | − | 0.000101115i | ||||
\(925\) | −5.77601 | − | 6.66587i | −0.189914 | − | 0.219173i | ||||
\(926\) | 3.30120 | − | 13.6077i | 0.108484 | − | 0.447178i | ||||
\(927\) | −1.93420 | + | 40.6038i | −0.0635274 | + | 1.33360i | ||||
\(928\) | −0.451897 | + | 0.0431509i | −0.0148342 | + | 0.00141650i | ||||
\(929\) | 0.788038 | + | 2.27689i | 0.0258547 | + | 0.0747022i | 0.957190 | − | 0.289461i | \(-0.0934761\pi\) |
−0.931335 | + | 0.364164i | \(0.881355\pi\) | |||||||
\(930\) | 18.3243 | − | 11.7763i | 0.600876 | − | 0.386160i | ||||
\(931\) | −9.22462 | + | 2.68635i | −0.302325 | + | 0.0880416i | ||||
\(932\) | −0.0345715 | − | 0.240450i | −0.00113243 | − | 0.00787621i | ||||
\(933\) | 0.00443591 | + | 0.0931213i | 0.000145225 | + | 0.00304865i | ||||
\(934\) | −10.2458 | − | 1.97472i | −0.335253 | − | 0.0646147i | ||||
\(935\) | 17.6892 | − | 1.68911i | 0.578499 | − | 0.0552399i | ||||
\(936\) | −39.8994 | + | 20.5695i | −1.30415 | + | 0.672337i | ||||
\(937\) | −22.0385 | + | 6.47110i | −0.719968 | + | 0.211402i | −0.621136 | − | 0.783703i | \(-0.713329\pi\) |
−0.0988315 | + | 0.995104i | \(0.531510\pi\) | |||||||
\(938\) | −41.0253 | − | 23.7468i | −1.33952 | − | 0.775360i | ||||
\(939\) | 2.21581 | + | 0.650622i | 0.0723104 | + | 0.0212322i | ||||
\(940\) | 0.0788400 | + | 0.00752830i | 0.00257148 | + | 0.000245546i | ||||
\(941\) | 3.59723 | − | 1.44011i | 0.117266 | − | 0.0469464i | −0.312287 | − | 0.949988i | \(-0.601095\pi\) |
0.429554 | + | 0.903041i | \(0.358671\pi\) | |||||||
\(942\) | −2.66710 | − | 4.61955i | −0.0868987 | − | 0.150513i | ||||
\(943\) | 23.1932 | − | 4.42975i | 0.755276 | − | 0.144252i | ||||
\(944\) | 8.34223 | 0.271517 | ||||||||
\(945\) | 29.3360 | + | 10.1898i | 0.954300 | + | 0.331474i | ||||
\(946\) | 0.723469 | + | 1.58418i | 0.0235220 | + | 0.0515060i | ||||
\(947\) | 2.34646 | − | 2.23735i | 0.0762498 | − | 0.0727040i | −0.650996 | − | 0.759081i | \(-0.725649\pi\) |
0.727246 | + | 0.686377i | \(0.240800\pi\) | |||||||
\(948\) | 0.00749344 | − | 0.0216509i | 0.000243376 | − | 0.000703188i | ||||
\(949\) | −2.13928 | − | 2.03980i | −0.0694440 | − | 0.0662147i | ||||
\(950\) | −16.6514 | + | 8.58437i | −0.540242 | + | 0.278514i | ||||
\(951\) | −1.33084 | + | 2.91412i | −0.0431553 | + | 0.0944970i | ||||
\(952\) | 19.5431 | − | 2.78772i | 0.633395 | − | 0.0903506i | ||||
\(953\) | −6.95891 | + | 4.47222i | −0.225421 | + | 0.144869i | −0.648477 | − | 0.761234i | \(-0.724594\pi\) |
0.423056 | + | 0.906104i | \(0.360957\pi\) | |||||||
\(954\) | −6.59220 | − | 2.63912i | −0.213430 | − | 0.0854446i | ||||
\(955\) | 3.87785 | − | 3.04957i | 0.125484 | − | 0.0986819i | ||||
\(956\) | −0.0889374 | − | 0.0458504i | −0.00287644 | − | 0.00148291i | ||||
\(957\) | −0.940780 | − | 2.71820i | −0.0304111 | − | 0.0878671i | ||||
\(958\) | 17.4971 | − | 38.3133i | 0.565305 | − | 1.23785i | ||||
\(959\) | 9.01727 | + | 30.8367i | 0.291183 | + | 0.995768i | ||||
\(960\) | 15.9731 | − | 4.69012i | 0.515529 | − | 0.151373i | ||||
\(961\) | 25.4846 | − | 4.91176i | 0.822085 | − | 0.158444i | ||||
\(962\) | 1.74750 | + | 7.20328i | 0.0563415 | + | 0.232243i | ||||
\(963\) | −0.793455 | + | 1.11425i | −0.0255687 | + | 0.0359063i | ||||
\(964\) | −0.0956401 | − | 0.0752122i | −0.00308036 | − | 0.00242242i | ||||
\(965\) | −28.5313 | −0.918455 | ||||||||
\(966\) | 4.39829 | − | 8.47337i | 0.141513 | − | 0.272626i | ||||
\(967\) | 32.2460 | 1.03696 | 0.518481 | − | 0.855089i | \(-0.326498\pi\) | ||||
0.518481 | + | 0.855089i | \(0.326498\pi\) | |||||||
\(968\) | 17.6253 | + | 13.8607i | 0.566498 | + | 0.445499i | ||||
\(969\) | −1.11758 | + | 1.56943i | −0.0359020 | + | 0.0504172i | ||||
\(970\) | −4.43563 | − | 18.2839i | −0.142419 | − | 0.587061i | ||||
\(971\) | −36.5977 | + | 7.05363i | −1.17448 | + | 0.226362i | −0.738916 | − | 0.673797i | \(-0.764662\pi\) |
−0.435561 | + | 0.900159i | \(0.643450\pi\) | |||||||
\(972\) | −0.320829 | + | 0.0942039i | −0.0102906 | + | 0.00302159i | ||||
\(973\) | −36.2715 | − | 8.84204i | −1.16281 | − | 0.283463i | ||||
\(974\) | 12.6514 | − | 27.7027i | 0.405377 | − | 0.887652i | ||||
\(975\) | −9.89110 | − | 28.5785i | −0.316769 | − | 0.915243i | ||||
\(976\) | −30.4167 | − | 15.6809i | −0.973616 | − | 0.501934i | ||||
\(977\) | −22.7496 | + | 17.8904i | −0.727823 | + | 0.572366i | −0.911835 | − | 0.410558i | \(-0.865334\pi\) |
0.184012 | + | 0.982924i | \(0.441092\pi\) | |||||||
\(978\) | 2.46755 | + | 0.987859i | 0.0789036 | + | 0.0315882i | ||||
\(979\) | −27.6674 | + | 17.7807i | −0.884253 | + | 0.568275i | ||||
\(980\) | 0.0353169 | − | 0.708288i | 0.00112816 | − | 0.0226254i | ||||
\(981\) | −18.8965 | + | 41.3775i | −0.603318 | + | 1.32108i | ||||
\(982\) | 25.3960 | − | 13.0926i | 0.810419 | − | 0.417800i | ||||
\(983\) | −28.6361 | − | 27.3045i | −0.913351 | − | 0.870878i | 0.0786767 | − | 0.996900i | \(-0.474931\pi\) |
−0.992027 | + | 0.126022i | \(0.959779\pi\) | |||||||
\(984\) | −2.45523 | + | 7.09391i | −0.0782698 | + | 0.226146i | ||||
\(985\) | −67.0479 | + | 63.9301i | −2.13632 | + | 2.03698i | ||||
\(986\) | −4.64811 | − | 10.1779i | −0.148026 | − | 0.324132i | ||||
\(987\) | 0.208432 | + | 1.08795i | 0.00663446 | + | 0.0346298i | ||||
\(988\) | −0.210669 | −0.00670228 | ||||||||
\(989\) | −3.34815 | − | 0.325385i | −0.106465 | − | 0.0103466i | ||||
\(990\) | −12.9208 | − | 22.3795i | −0.410651 | − | 0.711269i | ||||
\(991\) | 7.34222 | − | 2.93938i | 0.233233 | − | 0.0933725i | −0.252102 | − | 0.967701i | \(-0.581122\pi\) |
0.485335 | + | 0.874328i | \(0.338698\pi\) | |||||||
\(992\) | 1.12227 | + | 0.107164i | 0.0356321 | + | 0.00340245i | ||||
\(993\) | −13.4392 | − | 3.94611i | −0.426481 | − | 0.125226i | ||||
\(994\) | 44.5135 | − | 25.6340i | 1.41188 | − | 0.813061i | ||||
\(995\) | −80.8032 | + | 23.7260i | −2.56163 | + | 0.752164i | ||||
\(996\) | 0.0175867 | − | 0.00906659i | 0.000557257 | − | 0.000287286i | ||||
\(997\) | 37.1297 | − | 3.54545i | 1.17591 | − | 0.112286i | 0.511249 | − | 0.859433i | \(-0.329183\pi\) |
0.664659 | + | 0.747147i | \(0.268577\pi\) | |||||||
\(998\) | −4.08542 | − | 0.787399i | −0.129322 | − | 0.0249247i | ||||
\(999\) | 0.132173 | + | 2.77466i | 0.00418178 | + | 0.0877865i |
(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 | 161.2.m.a.100.11 | yes | 280 | |
7.4 | even | 3 | inner | 161.2.m.a.123.4 | yes | 280 | |
23.3 | even | 11 | inner | 161.2.m.a.72.4 | ✓ | 280 | |
161.95 | even | 33 | inner | 161.2.m.a.95.11 | yes | 280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
161.2.m.a.72.4 | ✓ | 280 | 23.3 | even | 11 | inner | |
161.2.m.a.95.11 | yes | 280 | 161.95 | even | 33 | inner | |
161.2.m.a.100.11 | yes | 280 | 1.1 | even | 1 | trivial | |
161.2.m.a.123.4 | yes | 280 | 7.4 | even | 3 | inner |