Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(103,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.103");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.x (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 103.9 | ||
Character | \(\chi\) | \(=\) | 570.103 |
Dual form | 570.2.x.a.487.9 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965926 | − | 0.258819i | 0.683013 | − | 0.183013i | ||||
\(3\) | −0.258819 | − | 0.965926i | −0.149429 | − | 0.557678i | ||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | −0.347530 | − | 2.20890i | −0.155420 | − | 0.987848i | ||||
\(6\) | −0.500000 | − | 0.866025i | −0.204124 | − | 0.353553i | ||||
\(7\) | 0.475663 | − | 0.475663i | 0.179784 | − | 0.179784i | −0.611478 | − | 0.791261i | \(-0.709425\pi\) |
0.791261 | + | 0.611478i | \(0.209425\pi\) | |||||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | −0.866025 | + | 0.500000i | −0.288675 | + | 0.166667i | ||||
\(10\) | −0.907393 | − | 2.04368i | −0.286943 | − | 0.646269i | ||||
\(11\) | 1.62638 | 0.490373 | 0.245186 | − | 0.969476i | \(-0.421151\pi\) | ||||
0.245186 | + | 0.969476i | \(0.421151\pi\) | |||||||
\(12\) | −0.707107 | − | 0.707107i | −0.204124 | − | 0.204124i | ||||
\(13\) | 1.20905 | + | 0.323965i | 0.335331 | + | 0.0898517i | 0.422556 | − | 0.906337i | \(-0.361133\pi\) |
−0.0872245 | + | 0.996189i | \(0.527800\pi\) | |||||||
\(14\) | 0.336344 | − | 0.582565i | 0.0898918 | − | 0.155697i | ||||
\(15\) | −2.04368 | + | 0.907393i | −0.527677 | + | 0.234288i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | −0.715345 | − | 2.66970i | −0.173497 | − | 0.647498i | −0.996803 | − | 0.0799008i | \(-0.974540\pi\) |
0.823306 | − | 0.567598i | \(-0.192127\pi\) | |||||||
\(18\) | −0.707107 | + | 0.707107i | −0.166667 | + | 0.166667i | ||||
\(19\) | −3.74148 | − | 2.23637i | −0.858353 | − | 0.513059i | ||||
\(20\) | −1.40542 | − | 1.73920i | −0.314261 | − | 0.388896i | ||||
\(21\) | −0.582565 | − | 0.336344i | −0.127126 | − | 0.0733963i | ||||
\(22\) | 1.57097 | − | 0.420939i | 0.334931 | − | 0.0897445i | ||||
\(23\) | 0.346974 | − | 1.29493i | 0.0723491 | − | 0.270011i | −0.920270 | − | 0.391284i | \(-0.872031\pi\) |
0.992619 | + | 0.121273i | \(0.0386977\pi\) | |||||||
\(24\) | −0.866025 | − | 0.500000i | −0.176777 | − | 0.102062i | ||||
\(25\) | −4.75845 | + | 1.53532i | −0.951689 | + | 0.307063i | ||||
\(26\) | 1.25170 | 0.245479 | ||||||||
\(27\) | 0.707107 | + | 0.707107i | 0.136083 | + | 0.136083i | ||||
\(28\) | 0.174105 | − | 0.649767i | 0.0329027 | − | 0.122794i | ||||
\(29\) | −2.85586 | − | 4.94650i | −0.530321 | − | 0.918542i | −0.999374 | − | 0.0353727i | \(-0.988738\pi\) |
0.469053 | − | 0.883170i | \(-0.344595\pi\) | |||||||
\(30\) | −1.73920 | + | 1.40542i | −0.317532 | + | 0.256593i | ||||
\(31\) | 4.96078i | 0.890983i | 0.895286 | + | 0.445491i | \(0.146971\pi\) | ||||
−0.895286 | + | 0.445491i | \(0.853029\pi\) | |||||||
\(32\) | 0.258819 | − | 0.965926i | 0.0457532 | − | 0.170753i | ||||
\(33\) | −0.420939 | − | 1.57097i | −0.0732761 | − | 0.273470i | ||||
\(34\) | −1.38194 | − | 2.39359i | −0.237001 | − | 0.410497i | ||||
\(35\) | −1.21600 | − | 0.885382i | −0.205541 | − | 0.149657i | ||||
\(36\) | −0.500000 | + | 0.866025i | −0.0833333 | + | 0.144338i | ||||
\(37\) | 1.34224 | + | 1.34224i | 0.220662 | + | 0.220662i | 0.808777 | − | 0.588115i | \(-0.200130\pi\) |
−0.588115 | + | 0.808777i | \(0.700130\pi\) | |||||||
\(38\) | −4.19280 | − | 1.19181i | −0.680163 | − | 0.193336i | ||||
\(39\) | − | 1.25170i | − | 0.200433i | ||||||
\(40\) | −1.80767 | − | 1.31618i | −0.285817 | − | 0.208107i | ||||
\(41\) | 3.11995 | + | 1.80130i | 0.487254 | + | 0.281316i | 0.723435 | − | 0.690393i | \(-0.242562\pi\) |
−0.236180 | + | 0.971709i | \(0.575896\pi\) | |||||||
\(42\) | −0.649767 | − | 0.174105i | −0.100261 | − | 0.0268649i | ||||
\(43\) | 4.02287 | − | 1.07792i | 0.613482 | − | 0.164382i | 0.0613189 | − | 0.998118i | \(-0.480469\pi\) |
0.552163 | + | 0.833736i | \(0.313803\pi\) | |||||||
\(44\) | 1.40849 | − | 0.813191i | 0.212338 | − | 0.122593i | ||||
\(45\) | 1.40542 | + | 1.73920i | 0.209507 | + | 0.259264i | ||||
\(46\) | − | 1.34061i | − | 0.197662i | ||||||
\(47\) | 10.0959 | + | 2.70518i | 1.47263 | + | 0.394591i | 0.903833 | − | 0.427885i | \(-0.140741\pi\) |
0.568800 | + | 0.822476i | \(0.307408\pi\) | |||||||
\(48\) | −0.965926 | − | 0.258819i | −0.139419 | − | 0.0373573i | ||||
\(49\) | 6.54749i | 0.935356i | ||||||||
\(50\) | −4.19894 | + | 2.71458i | −0.593819 | + | 0.383899i | ||||
\(51\) | −2.39359 | + | 1.38194i | −0.335170 | + | 0.193510i | ||||
\(52\) | 1.20905 | − | 0.323965i | 0.167666 | − | 0.0449259i | ||||
\(53\) | 1.10956 | + | 0.297305i | 0.152410 | + | 0.0408380i | 0.334217 | − | 0.942496i | \(-0.391528\pi\) |
−0.181808 | + | 0.983334i | \(0.558195\pi\) | |||||||
\(54\) | 0.866025 | + | 0.500000i | 0.117851 | + | 0.0680414i | ||||
\(55\) | −0.565217 | − | 3.59251i | −0.0762139 | − | 0.484414i | ||||
\(56\) | − | 0.672689i | − | 0.0898918i | ||||||
\(57\) | −1.19181 | + | 4.19280i | −0.157859 | + | 0.555350i | ||||
\(58\) | −4.03880 | − | 4.03880i | −0.530321 | − | 0.530321i | ||||
\(59\) | 3.21653 | − | 5.57120i | 0.418757 | − | 0.725308i | −0.577058 | − | 0.816703i | \(-0.695799\pi\) |
0.995815 | + | 0.0913953i | \(0.0291327\pi\) | |||||||
\(60\) | −1.31618 | + | 1.80767i | −0.169919 | + | 0.233369i | ||||
\(61\) | −0.415397 | − | 0.719489i | −0.0531862 | − | 0.0921212i | 0.838207 | − | 0.545353i | \(-0.183604\pi\) |
−0.891393 | + | 0.453232i | \(0.850271\pi\) | |||||||
\(62\) | 1.28394 | + | 4.79175i | 0.163061 | + | 0.608552i | ||||
\(63\) | −0.174105 | + | 0.649767i | −0.0219351 | + | 0.0818630i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 0.295422 | − | 2.78326i | 0.0366426 | − | 0.345221i | ||||
\(66\) | −0.813191 | − | 1.40849i | −0.100097 | − | 0.173373i | ||||
\(67\) | −1.23904 | + | 4.62415i | −0.151373 | + | 0.564930i | 0.848016 | + | 0.529970i | \(0.177797\pi\) |
−0.999389 | + | 0.0349597i | \(0.988870\pi\) | |||||||
\(68\) | −1.95436 | − | 1.95436i | −0.237001 | − | 0.237001i | ||||
\(69\) | −1.34061 | −0.161390 | ||||||||
\(70\) | −1.40372 | − | 0.540491i | −0.167776 | − | 0.0646010i | ||||
\(71\) | 6.55025 | + | 3.78179i | 0.777371 | + | 0.448816i | 0.835498 | − | 0.549494i | \(-0.185179\pi\) |
−0.0581265 | + | 0.998309i | \(0.518513\pi\) | |||||||
\(72\) | −0.258819 | + | 0.965926i | −0.0305021 | + | 0.113835i | ||||
\(73\) | 11.5703 | − | 3.10025i | 1.35420 | − | 0.362856i | 0.492515 | − | 0.870304i | \(-0.336078\pi\) |
0.861683 | + | 0.507447i | \(0.169411\pi\) | |||||||
\(74\) | 1.64390 | + | 0.949104i | 0.191099 | + | 0.110331i | ||||
\(75\) | 2.71458 | + | 4.19894i | 0.313452 | + | 0.484851i | ||||
\(76\) | −4.35840 | − | 0.0660184i | −0.499943 | − | 0.00757283i | ||||
\(77\) | 0.773610 | − | 0.773610i | 0.0881610 | − | 0.0881610i | ||||
\(78\) | −0.323965 | − | 1.20905i | −0.0366818 | − | 0.136898i | ||||
\(79\) | −3.50883 | + | 6.07746i | −0.394774 | + | 0.683768i | −0.993072 | − | 0.117505i | \(-0.962510\pi\) |
0.598299 | + | 0.801273i | \(0.295844\pi\) | |||||||
\(80\) | −2.08673 | − | 0.803478i | −0.233303 | − | 0.0898316i | ||||
\(81\) | 0.500000 | − | 0.866025i | 0.0555556 | − | 0.0962250i | ||||
\(82\) | 3.47985 | + | 0.932424i | 0.384285 | + | 0.102969i | ||||
\(83\) | 4.66215 | + | 4.66215i | 0.511738 | + | 0.511738i | 0.915059 | − | 0.403321i | \(-0.132144\pi\) |
−0.403321 | + | 0.915059i | \(0.632144\pi\) | |||||||
\(84\) | −0.672689 | −0.0733963 | ||||||||
\(85\) | −5.64850 | + | 2.50793i | −0.612665 | + | 0.272023i | ||||
\(86\) | 3.60681 | − | 2.08239i | 0.388932 | − | 0.224550i | ||||
\(87\) | −4.03880 | + | 4.03880i | −0.433005 | + | 0.433005i | ||||
\(88\) | 1.15003 | − | 1.15003i | 0.122593 | − | 0.122593i | ||||
\(89\) | −0.342379 | − | 0.593017i | −0.0362921 | − | 0.0628597i | 0.847309 | − | 0.531100i | \(-0.178221\pi\) |
−0.883601 | + | 0.468241i | \(0.844888\pi\) | |||||||
\(90\) | 1.80767 | + | 1.31618i | 0.190545 | + | 0.138738i | ||||
\(91\) | 0.729200 | − | 0.421004i | 0.0764409 | − | 0.0441332i | ||||
\(92\) | −0.346974 | − | 1.29493i | −0.0361746 | − | 0.135005i | ||||
\(93\) | 4.79175 | − | 1.28394i | 0.496881 | − | 0.133139i | ||||
\(94\) | 10.4520 | 1.07804 | ||||||||
\(95\) | −3.63964 | + | 9.04174i | −0.373419 | + | 0.927663i | ||||
\(96\) | −1.00000 | −0.102062 | ||||||||
\(97\) | −6.83239 | + | 1.83073i | −0.693724 | + | 0.185883i | −0.588418 | − | 0.808557i | \(-0.700249\pi\) |
−0.105306 | + | 0.994440i | \(0.533582\pi\) | |||||||
\(98\) | 1.69462 | + | 6.32439i | 0.171182 | + | 0.638860i | ||||
\(99\) | −1.40849 | + | 0.813191i | −0.141558 | + | 0.0817288i | ||||
\(100\) | −3.35328 | + | 3.70885i | −0.335328 | + | 0.370885i | ||||
\(101\) | −5.17525 | − | 8.96379i | −0.514956 | − | 0.891930i | −0.999849 | − | 0.0173568i | \(-0.994475\pi\) |
0.484893 | − | 0.874573i | \(-0.338858\pi\) | |||||||
\(102\) | −1.95436 | + | 1.95436i | −0.193510 | + | 0.193510i | ||||
\(103\) | 11.0247 | − | 11.0247i | 1.08630 | − | 1.08630i | 0.0903885 | − | 0.995907i | \(-0.471189\pi\) |
0.995907 | − | 0.0903885i | \(-0.0288109\pi\) | |||||||
\(104\) | 1.08401 | − | 0.625852i | 0.106296 | − | 0.0613699i | ||||
\(105\) | −0.540491 | + | 1.40372i | −0.0527465 | + | 0.136989i | ||||
\(106\) | 1.14870 | 0.111572 | ||||||||
\(107\) | 11.1404 | + | 11.1404i | 1.07698 | + | 1.07698i | 0.996779 | + | 0.0802011i | \(0.0255563\pi\) |
0.0802011 | + | 0.996779i | \(0.474444\pi\) | |||||||
\(108\) | 0.965926 | + | 0.258819i | 0.0929463 | + | 0.0249049i | ||||
\(109\) | −8.55270 | + | 14.8137i | −0.819200 | + | 1.41890i | 0.0870725 | + | 0.996202i | \(0.472249\pi\) |
−0.906272 | + | 0.422694i | \(0.861085\pi\) | |||||||
\(110\) | −1.47577 | − | 3.32381i | −0.140709 | − | 0.316913i | ||||
\(111\) | 0.949104 | − | 1.64390i | 0.0900849 | − | 0.156032i | ||||
\(112\) | −0.174105 | − | 0.649767i | −0.0164513 | − | 0.0613972i | ||||
\(113\) | −1.79814 | + | 1.79814i | −0.169155 | + | 0.169155i | −0.786608 | − | 0.617453i | \(-0.788165\pi\) |
0.617453 | + | 0.786608i | \(0.288165\pi\) | |||||||
\(114\) | −0.0660184 | + | 4.35840i | −0.00618319 | + | 0.408201i | ||||
\(115\) | −2.98094 | − | 0.316405i | −0.277974 | − | 0.0295049i | ||||
\(116\) | −4.94650 | − | 2.85586i | −0.459271 | − | 0.265160i | ||||
\(117\) | −1.20905 | + | 0.323965i | −0.111777 | + | 0.0299506i | ||||
\(118\) | 1.66500 | − | 6.21386i | 0.153276 | − | 0.572032i | ||||
\(119\) | −1.61014 | − | 0.929616i | −0.147601 | − | 0.0852177i | ||||
\(120\) | −0.803478 | + | 2.08673i | −0.0733472 | + | 0.190491i | ||||
\(121\) | −8.35488 | −0.759534 | ||||||||
\(122\) | −0.587461 | − | 0.587461i | −0.0531862 | − | 0.0531862i | ||||
\(123\) | 0.932424 | − | 3.47985i | 0.0840738 | − | 0.313768i | ||||
\(124\) | 2.48039 | + | 4.29616i | 0.222746 | + | 0.385807i | ||||
\(125\) | 5.04506 | + | 9.97734i | 0.451244 | + | 0.892401i | ||||
\(126\) | 0.672689i | 0.0599279i | ||||||||
\(127\) | −2.19387 | + | 8.18762i | −0.194674 | + | 0.726534i | 0.797677 | + | 0.603085i | \(0.206062\pi\) |
−0.992351 | + | 0.123449i | \(0.960605\pi\) | |||||||
\(128\) | −0.258819 | − | 0.965926i | −0.0228766 | − | 0.0853766i | ||||
\(129\) | −2.08239 | − | 3.60681i | −0.183344 | − | 0.317562i | ||||
\(130\) | −0.435005 | − | 2.76489i | −0.0381525 | − | 0.242497i | ||||
\(131\) | 7.25898 | − | 12.5729i | 0.634220 | − | 1.09850i | −0.352460 | − | 0.935827i | \(-0.614655\pi\) |
0.986680 | − | 0.162675i | \(-0.0520121\pi\) | |||||||
\(132\) | −1.15003 | − | 1.15003i | −0.100097 | − | 0.100097i | ||||
\(133\) | −2.84344 | + | 0.715921i | −0.246557 | + | 0.0620782i | ||||
\(134\) | 4.78727i | 0.413557i | ||||||||
\(135\) | 1.31618 | − | 1.80767i | 0.113279 | − | 0.155579i | ||||
\(136\) | −2.39359 | − | 1.38194i | −0.205249 | − | 0.118500i | ||||
\(137\) | 5.77905 | + | 1.54849i | 0.493737 | + | 0.132297i | 0.497092 | − | 0.867698i | \(-0.334401\pi\) |
−0.00335458 | + | 0.999994i | \(0.501068\pi\) | |||||||
\(138\) | −1.29493 | + | 0.346974i | −0.110231 | + | 0.0295364i | ||||
\(139\) | 1.91092 | − | 1.10327i | 0.162082 | − | 0.0935783i | −0.416765 | − | 0.909014i | \(-0.636836\pi\) |
0.578847 | + | 0.815436i | \(0.303503\pi\) | |||||||
\(140\) | −1.49578 | − | 0.158765i | −0.126416 | − | 0.0134181i | ||||
\(141\) | − | 10.4520i | − | 0.880218i | ||||||
\(142\) | 7.30585 | + | 1.95760i | 0.613094 | + | 0.164278i | ||||
\(143\) | 1.96638 | + | 0.526891i | 0.164437 | + | 0.0440609i | ||||
\(144\) | 1.00000i | 0.0833333i | ||||||||
\(145\) | −9.93381 | + | 8.02737i | −0.824958 | + | 0.666637i | ||||
\(146\) | 10.3736 | − | 5.98921i | 0.858527 | − | 0.495671i | ||||
\(147\) | 6.32439 | − | 1.69462i | 0.521627 | − | 0.139770i | ||||
\(148\) | 1.83353 | + | 0.491292i | 0.150715 | + | 0.0403840i | ||||
\(149\) | −5.99554 | − | 3.46153i | −0.491174 | − | 0.283579i | 0.233888 | − | 0.972264i | \(-0.424855\pi\) |
−0.725061 | + | 0.688684i | \(0.758189\pi\) | |||||||
\(150\) | 3.70885 | + | 3.35328i | 0.302826 | + | 0.273794i | ||||
\(151\) | 18.5439i | 1.50908i | 0.656255 | + | 0.754539i | \(0.272140\pi\) | ||||
−0.656255 | + | 0.754539i | \(0.727860\pi\) | |||||||
\(152\) | −4.22698 | + | 1.06427i | −0.342853 | + | 0.0863235i | ||||
\(153\) | 1.95436 | + | 1.95436i | 0.158001 | + | 0.158001i | ||||
\(154\) | 0.547025 | − | 0.947474i | 0.0440805 | − | 0.0763497i | ||||
\(155\) | 10.9579 | − | 1.72402i | 0.880156 | − | 0.138477i | ||||
\(156\) | −0.625852 | − | 1.08401i | −0.0501083 | − | 0.0867901i | ||||
\(157\) | 1.61352 | + | 6.02173i | 0.128773 | + | 0.480587i | 0.999946 | − | 0.0103891i | \(-0.00330700\pi\) |
−0.871173 | + | 0.490976i | \(0.836640\pi\) | |||||||
\(158\) | −1.81630 | + | 6.77853i | −0.144497 | + | 0.539271i | ||||
\(159\) | − | 1.14870i | − | 0.0910978i | ||||||
\(160\) | −2.22358 | − | 0.236016i | −0.175789 | − | 0.0186587i | ||||
\(161\) | −0.450905 | − | 0.780991i | −0.0355363 | − | 0.0615507i | ||||
\(162\) | 0.258819 | − | 0.965926i | 0.0203347 | − | 0.0758903i | ||||
\(163\) | 4.29006 | + | 4.29006i | 0.336024 | + | 0.336024i | 0.854868 | − | 0.518845i | \(-0.173638\pi\) |
−0.518845 | + | 0.854868i | \(0.673638\pi\) | |||||||
\(164\) | 3.60261 | 0.281316 | ||||||||
\(165\) | −3.32381 | + | 1.47577i | −0.258758 | + | 0.114888i | ||||
\(166\) | 5.70995 | + | 3.29664i | 0.443178 | + | 0.255869i | ||||
\(167\) | 1.06045 | − | 3.95765i | 0.0820599 | − | 0.306252i | −0.912681 | − | 0.408672i | \(-0.865992\pi\) |
0.994741 | + | 0.102420i | \(0.0326586\pi\) | |||||||
\(168\) | −0.649767 | + | 0.174105i | −0.0501306 | + | 0.0134325i | ||||
\(169\) | −9.90147 | − | 5.71662i | −0.761652 | − | 0.439740i | ||||
\(170\) | −4.80693 | + | 3.88441i | −0.368675 | + | 0.297921i | ||||
\(171\) | 4.35840 | + | 0.0660184i | 0.333295 | + | 0.00504856i | ||||
\(172\) | 2.94494 | − | 2.94494i | 0.224550 | − | 0.224550i | ||||
\(173\) | −6.38946 | − | 23.8458i | −0.485782 | − | 1.81296i | −0.576515 | − | 0.817087i | \(-0.695588\pi\) |
0.0907330 | − | 0.995875i | \(-0.471079\pi\) | |||||||
\(174\) | −2.85586 | + | 4.94650i | −0.216503 | + | 0.374993i | ||||
\(175\) | −1.53312 | + | 2.99371i | −0.115893 | + | 0.226303i | ||||
\(176\) | 0.813191 | − | 1.40849i | 0.0612966 | − | 0.106169i | ||||
\(177\) | −6.21386 | − | 1.66500i | −0.467062 | − | 0.125149i | ||||
\(178\) | −0.484197 | − | 0.484197i | −0.0362921 | − | 0.0362921i | ||||
\(179\) | 11.7015 | 0.874609 | 0.437304 | − | 0.899314i | \(-0.355933\pi\) | ||||
0.437304 | + | 0.899314i | \(0.355933\pi\) | |||||||
\(180\) | 2.08673 | + | 0.803478i | 0.155535 | + | 0.0598877i | ||||
\(181\) | −1.64623 | + | 0.950450i | −0.122363 | + | 0.0706464i | −0.559932 | − | 0.828538i | \(-0.689173\pi\) |
0.437569 | + | 0.899185i | \(0.355840\pi\) | |||||||
\(182\) | 0.595389 | − | 0.595389i | 0.0441332 | − | 0.0441332i | ||||
\(183\) | −0.587461 | + | 0.587461i | −0.0434263 | + | 0.0434263i | ||||
\(184\) | −0.670303 | − | 1.16100i | −0.0494154 | − | 0.0855900i | ||||
\(185\) | 2.49839 | − | 3.43133i | 0.183685 | − | 0.252276i | ||||
\(186\) | 4.29616 | − | 2.48039i | 0.315010 | − | 0.181871i | ||||
\(187\) | −1.16343 | − | 4.34196i | −0.0850781 | − | 0.317516i | ||||
\(188\) | 10.0959 | − | 2.70518i | 0.736317 | − | 0.197295i | ||||
\(189\) | 0.672689 | 0.0489309 | ||||||||
\(190\) | −1.17545 | + | 9.67566i | −0.0852761 | + | 0.701946i | ||||
\(191\) | −4.44695 | −0.321770 | −0.160885 | − | 0.986973i | \(-0.551435\pi\) | ||||
−0.160885 | + | 0.986973i | \(0.551435\pi\) | |||||||
\(192\) | −0.965926 | + | 0.258819i | −0.0697097 | + | 0.0186787i | ||||
\(193\) | −1.67707 | − | 6.25891i | −0.120718 | − | 0.450526i | 0.878933 | − | 0.476946i | \(-0.158256\pi\) |
−0.999651 | + | 0.0264195i | \(0.991589\pi\) | |||||||
\(194\) | −6.12575 | + | 3.53671i | −0.439804 | + | 0.253921i | ||||
\(195\) | −2.76489 | + | 0.435005i | −0.197998 | + | 0.0311514i | ||||
\(196\) | 3.27375 | + | 5.67029i | 0.233839 | + | 0.405021i | ||||
\(197\) | −12.3412 | + | 12.3412i | −0.879273 | + | 0.879273i | −0.993459 | − | 0.114186i | \(-0.963574\pi\) |
0.114186 | + | 0.993459i | \(0.463574\pi\) | |||||||
\(198\) | −1.15003 | + | 1.15003i | −0.0817288 | + | 0.0817288i | ||||
\(199\) | −4.72800 | + | 2.72971i | −0.335159 | + | 0.193504i | −0.658129 | − | 0.752905i | \(-0.728652\pi\) |
0.322970 | + | 0.946409i | \(0.395319\pi\) | |||||||
\(200\) | −2.27910 | + | 4.45036i | −0.161156 | + | 0.314688i | ||||
\(201\) | 4.78727 | 0.337668 | ||||||||
\(202\) | −7.31890 | − | 7.31890i | −0.514956 | − | 0.514956i | ||||
\(203\) | −3.71129 | − | 0.994438i | −0.260482 | − | 0.0697959i | ||||
\(204\) | −1.38194 | + | 2.39359i | −0.0967552 | + | 0.167585i | ||||
\(205\) | 2.89462 | − | 7.51766i | 0.202169 | − | 0.525056i | ||||
\(206\) | 7.79563 | − | 13.5024i | 0.543148 | − | 0.940759i | ||||
\(207\) | 0.346974 | + | 1.29493i | 0.0241164 | + | 0.0900036i | ||||
\(208\) | 0.885089 | − | 0.885089i | 0.0613699 | − | 0.0613699i | ||||
\(209\) | −6.08507 | − | 3.63720i | −0.420913 | − | 0.251590i | ||||
\(210\) | −0.158765 | + | 1.49578i | −0.0109558 | + | 0.103218i | ||||
\(211\) | −16.7262 | − | 9.65690i | −1.15148 | − | 0.664809i | −0.202234 | − | 0.979337i | \(-0.564820\pi\) |
−0.949248 | + | 0.314528i | \(0.898154\pi\) | |||||||
\(212\) | 1.10956 | − | 0.297305i | 0.0762048 | − | 0.0204190i | ||||
\(213\) | 1.95760 | − | 7.30585i | 0.134132 | − | 0.500589i | ||||
\(214\) | 13.6441 | + | 7.87743i | 0.932692 | + | 0.538490i | ||||
\(215\) | −3.77909 | − | 8.51149i | −0.257732 | − | 0.580479i | ||||
\(216\) | 1.00000 | 0.0680414 | ||||||||
\(217\) | 2.35966 | + | 2.35966i | 0.160184 | + | 0.160184i | ||||
\(218\) | −4.42720 | + | 16.5225i | −0.299848 | + | 1.11905i | ||||
\(219\) | −5.98921 | − | 10.3736i | −0.404714 | − | 0.700985i | ||||
\(220\) | −2.28575 | − | 2.82860i | −0.154105 | − | 0.190704i | ||||
\(221\) | − | 3.45956i | − | 0.232715i | ||||||
\(222\) | 0.491292 | − | 1.83353i | 0.0329734 | − | 0.123058i | ||||
\(223\) | 2.05712 | + | 7.67726i | 0.137755 | + | 0.514108i | 0.999971 | + | 0.00756794i | \(0.00240897\pi\) |
−0.862217 | + | 0.506540i | \(0.830924\pi\) | |||||||
\(224\) | −0.336344 | − | 0.582565i | −0.0224729 | − | 0.0389243i | ||||
\(225\) | 3.35328 | − | 3.70885i | 0.223552 | − | 0.247256i | ||||
\(226\) | −1.27148 | + | 2.20226i | −0.0845774 | + | 0.146492i | ||||
\(227\) | 14.0895 | + | 14.0895i | 0.935155 | + | 0.935155i | 0.998022 | − | 0.0628668i | \(-0.0200243\pi\) |
−0.0628668 | + | 0.998022i | \(0.520024\pi\) | |||||||
\(228\) | 1.06427 | + | 4.22698i | 0.0704829 | + | 0.279938i | ||||
\(229\) | − | 15.7103i | − | 1.03817i | −0.854723 | − | 0.519084i | \(-0.826273\pi\) | ||
0.854723 | − | 0.519084i | \(-0.173727\pi\) | |||||||
\(230\) | −2.96126 | + | 0.465901i | −0.195260 | + | 0.0307206i | ||||
\(231\) | −0.947474 | − | 0.547025i | −0.0623392 | − | 0.0359916i | ||||
\(232\) | −5.51711 | − | 1.47830i | −0.362216 | − | 0.0970554i | ||||
\(233\) | −11.6010 | + | 3.10848i | −0.760008 | + | 0.203644i | −0.617953 | − | 0.786215i | \(-0.712038\pi\) |
−0.142055 | + | 0.989859i | \(0.545371\pi\) | |||||||
\(234\) | −1.08401 | + | 0.625852i | −0.0708638 | + | 0.0409132i | ||||
\(235\) | 2.46684 | − | 23.2409i | 0.160919 | − | 1.51607i | ||||
\(236\) | − | 6.43306i | − | 0.418757i | ||||||
\(237\) | 6.77853 | + | 1.81630i | 0.440313 | + | 0.117981i | ||||
\(238\) | −1.79588 | − | 0.481204i | −0.116410 | − | 0.0311918i | ||||
\(239\) | − | 3.62823i | − | 0.234691i | −0.993091 | − | 0.117345i | \(-0.962562\pi\) | ||
0.993091 | − | 0.117345i | \(-0.0374385\pi\) | |||||||
\(240\) | −0.236016 | + | 2.22358i | −0.0152348 | + | 0.143531i | ||||
\(241\) | −22.4277 | + | 12.9487i | −1.44470 | + | 0.834096i | −0.998158 | − | 0.0606684i | \(-0.980677\pi\) |
−0.446539 | + | 0.894764i | \(0.647343\pi\) | |||||||
\(242\) | −8.07019 | + | 2.16240i | −0.518772 | + | 0.139004i | ||||
\(243\) | −0.965926 | − | 0.258819i | −0.0619642 | − | 0.0166032i | ||||
\(244\) | −0.719489 | − | 0.415397i | −0.0460606 | − | 0.0265931i | ||||
\(245\) | 14.4627 | − | 2.27545i | 0.923990 | − | 0.145373i | ||||
\(246\) | − | 3.60261i | − | 0.229694i | ||||||
\(247\) | −3.79914 | − | 3.91600i | −0.241733 | − | 0.249169i | ||||
\(248\) | 3.50780 | + | 3.50780i | 0.222746 | + | 0.222746i | ||||
\(249\) | 3.29664 | − | 5.70995i | 0.208916 | − | 0.361853i | ||||
\(250\) | 7.45548 | + | 8.33162i | 0.471526 | + | 0.526938i | ||||
\(251\) | −4.71872 | − | 8.17306i | −0.297843 | − | 0.515879i | 0.677799 | − | 0.735247i | \(-0.262934\pi\) |
−0.975642 | + | 0.219368i | \(0.929600\pi\) | |||||||
\(252\) | 0.174105 | + | 0.649767i | 0.0109676 | + | 0.0409315i | ||||
\(253\) | 0.564313 | − | 2.10605i | 0.0354781 | − | 0.132406i | ||||
\(254\) | 8.47645i | 0.531860i | ||||||||
\(255\) | 3.88441 | + | 4.80693i | 0.243251 | + | 0.301022i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 0.699730 | − | 2.61143i | 0.0436480 | − | 0.162896i | −0.940662 | − | 0.339345i | \(-0.889794\pi\) |
0.984310 | + | 0.176449i | \(0.0564611\pi\) | |||||||
\(258\) | −2.94494 | − | 2.94494i | −0.183344 | − | 0.183344i | ||||
\(259\) | 1.27690 | 0.0793428 | ||||||||
\(260\) | −1.13579 | − | 2.55809i | −0.0704386 | − | 0.158646i | ||||
\(261\) | 4.94650 | + | 2.85586i | 0.306181 | + | 0.176774i | ||||
\(262\) | 3.75753 | − | 14.0233i | 0.232141 | − | 0.866361i | ||||
\(263\) | −13.5129 | + | 3.62078i | −0.833244 | + | 0.223267i | −0.650128 | − | 0.759824i | \(-0.725285\pi\) |
−0.183116 | + | 0.983091i | \(0.558618\pi\) | |||||||
\(264\) | −1.40849 | − | 0.813191i | −0.0866865 | − | 0.0500485i | ||||
\(265\) | 0.271111 | − | 2.55422i | 0.0166542 | − | 0.156905i | ||||
\(266\) | −2.56126 | + | 1.42746i | −0.157041 | + | 0.0875233i | ||||
\(267\) | −0.484197 | + | 0.484197i | −0.0296324 | + | 0.0296324i | ||||
\(268\) | 1.23904 | + | 4.62415i | 0.0756863 | + | 0.282465i | ||||
\(269\) | −5.36535 | + | 9.29307i | −0.327131 | + | 0.566608i | −0.981941 | − | 0.189185i | \(-0.939415\pi\) |
0.654810 | + | 0.755794i | \(0.272749\pi\) | |||||||
\(270\) | 0.803478 | − | 2.08673i | 0.0488981 | − | 0.126994i | ||||
\(271\) | 1.27133 | − | 2.20201i | 0.0772277 | − | 0.133762i | −0.824825 | − | 0.565388i | \(-0.808726\pi\) |
0.902053 | + | 0.431626i | \(0.142060\pi\) | |||||||
\(272\) | −2.66970 | − | 0.715345i | −0.161875 | − | 0.0433742i | ||||
\(273\) | −0.595389 | − | 0.595389i | −0.0360346 | − | 0.0360346i | ||||
\(274\) | 5.98291 | 0.361441 | ||||||||
\(275\) | −7.73905 | + | 2.49701i | −0.466683 | + | 0.150575i | ||||
\(276\) | −1.16100 | + | 0.670303i | −0.0698839 | + | 0.0403475i | ||||
\(277\) | −7.14030 | + | 7.14030i | −0.429019 | + | 0.429019i | −0.888294 | − | 0.459275i | \(-0.848109\pi\) |
0.459275 | + | 0.888294i | \(0.348109\pi\) | |||||||
\(278\) | 1.56026 | − | 1.56026i | 0.0935783 | − | 0.0935783i | ||||
\(279\) | −2.48039 | − | 4.29616i | −0.148497 | − | 0.257205i | ||||
\(280\) | −1.48590 | + | 0.233780i | −0.0887995 | + | 0.0139710i | ||||
\(281\) | 7.50398 | − | 4.33243i | 0.447650 | − | 0.258451i | −0.259187 | − | 0.965827i | \(-0.583455\pi\) |
0.706837 | + | 0.707376i | \(0.250121\pi\) | |||||||
\(282\) | −2.70518 | − | 10.0959i | −0.161091 | − | 0.601200i | ||||
\(283\) | 27.7937 | − | 7.44731i | 1.65217 | − | 0.442696i | 0.691947 | − | 0.721948i | \(-0.256753\pi\) |
0.960218 | + | 0.279252i | \(0.0900863\pi\) | |||||||
\(284\) | 7.56358 | 0.448816 | ||||||||
\(285\) | 9.67566 | + | 1.17545i | 0.573136 | + | 0.0696276i | ||||
\(286\) | 2.03575 | 0.120376 | ||||||||
\(287\) | 2.34086 | − | 0.627231i | 0.138176 | − | 0.0370243i | ||||
\(288\) | 0.258819 | + | 0.965926i | 0.0152511 | + | 0.0569177i | ||||
\(289\) | 8.10683 | − | 4.68048i | 0.476872 | − | 0.275322i | ||||
\(290\) | −7.51769 | + | 10.3249i | −0.441454 | + | 0.606299i | ||||
\(291\) | 3.53671 | + | 6.12575i | 0.207325 | + | 0.359098i | ||||
\(292\) | 8.47003 | − | 8.47003i | 0.495671 | − | 0.495671i | ||||
\(293\) | −7.60250 | + | 7.60250i | −0.444143 | + | 0.444143i | −0.893402 | − | 0.449259i | \(-0.851688\pi\) |
0.449259 | + | 0.893402i | \(0.351688\pi\) | |||||||
\(294\) | 5.67029 | − | 3.27375i | 0.330698 | − | 0.190929i | ||||
\(295\) | −13.4240 | − | 5.16883i | −0.781578 | − | 0.300941i | ||||
\(296\) | 1.89821 | 0.110331 | ||||||||
\(297\) | 1.15003 | + | 1.15003i | 0.0667313 | + | 0.0667313i | ||||
\(298\) | −6.68716 | − | 1.79182i | −0.387377 | − | 0.103797i | ||||
\(299\) | 0.839021 | − | 1.45323i | 0.0485219 | − | 0.0840423i | ||||
\(300\) | 4.45036 | + | 2.27910i | 0.256942 | + | 0.131584i | ||||
\(301\) | 1.40080 | − | 2.42626i | 0.0807408 | − | 0.139847i | ||||
\(302\) | 4.79951 | + | 17.9120i | 0.276181 | + | 1.03072i | ||||
\(303\) | −7.31890 | + | 7.31890i | −0.420460 | + | 0.420460i | ||||
\(304\) | −3.80749 | + | 2.12203i | −0.218375 | + | 0.121707i | ||||
\(305\) | −1.44491 | + | 1.16761i | −0.0827356 | + | 0.0668574i | ||||
\(306\) | 2.39359 | + | 1.38194i | 0.136832 | + | 0.0790003i | ||||
\(307\) | 15.1496 | − | 4.05933i | 0.864634 | − | 0.231678i | 0.200868 | − | 0.979618i | \(-0.435624\pi\) |
0.663766 | + | 0.747940i | \(0.268957\pi\) | |||||||
\(308\) | 0.283161 | − | 1.05677i | 0.0161346 | − | 0.0602151i | ||||
\(309\) | −13.5024 | − | 7.79563i | −0.768127 | − | 0.443478i | ||||
\(310\) | 10.1383 | − | 4.50138i | 0.575815 | − | 0.255661i | ||||
\(311\) | −27.8709 | −1.58041 | −0.790207 | − | 0.612841i | \(-0.790027\pi\) | ||||
−0.790207 | + | 0.612841i | \(0.790027\pi\) | |||||||
\(312\) | −0.885089 | − | 0.885089i | −0.0501083 | − | 0.0501083i | ||||
\(313\) | −7.12100 | + | 26.5759i | −0.402503 | + | 1.50216i | 0.406113 | + | 0.913823i | \(0.366884\pi\) |
−0.808616 | + | 0.588337i | \(0.799783\pi\) | |||||||
\(314\) | 3.11708 | + | 5.39894i | 0.175907 | + | 0.304680i | ||||
\(315\) | 1.49578 | + | 0.158765i | 0.0842774 | + | 0.00894541i | ||||
\(316\) | 7.01765i | 0.394774i | ||||||||
\(317\) | 2.31724 | − | 8.64804i | 0.130149 | − | 0.485722i | −0.869822 | − | 0.493366i | \(-0.835766\pi\) |
0.999971 | + | 0.00764349i | \(0.00243302\pi\) | |||||||
\(318\) | −0.297305 | − | 1.10956i | −0.0166720 | − | 0.0622209i | ||||
\(319\) | −4.64473 | − | 8.04491i | −0.260055 | − | 0.450428i | ||||
\(320\) | −2.20890 | + | 0.347530i | −0.123481 | + | 0.0194275i | ||||
\(321\) | 7.87743 | − | 13.6441i | 0.439675 | − | 0.761540i | ||||
\(322\) | −0.637676 | − | 0.637676i | −0.0355363 | − | 0.0355363i | ||||
\(323\) | −3.29401 | + | 11.5884i | −0.183284 | + | 0.644796i | ||||
\(324\) | − | 1.00000i | − | 0.0555556i | ||||||
\(325\) | −6.25061 | + | 0.314710i | −0.346721 | + | 0.0174570i | ||||
\(326\) | 5.25423 | + | 3.03353i | 0.291005 | + | 0.168012i | ||||
\(327\) | 16.5225 | + | 4.42720i | 0.913699 | + | 0.244825i | ||||
\(328\) | 3.47985 | − | 0.932424i | 0.192143 | − | 0.0514845i | ||||
\(329\) | 6.08898 | − | 3.51547i | 0.335696 | − | 0.193814i | ||||
\(330\) | −2.82860 | + | 2.28575i | −0.155709 | + | 0.125826i | ||||
\(331\) | − | 11.9008i | − | 0.654128i | −0.945002 | − | 0.327064i | \(-0.893941\pi\) | ||
0.945002 | − | 0.327064i | \(-0.106059\pi\) | |||||||
\(332\) | 6.36862 | + | 1.70647i | 0.349523 | + | 0.0936545i | ||||
\(333\) | −1.83353 | − | 0.491292i | −0.100477 | − | 0.0269226i | ||||
\(334\) | − | 4.09726i | − | 0.224192i | ||||||
\(335\) | 10.6449 | + | 1.12987i | 0.581592 | + | 0.0617316i | ||||
\(336\) | −0.582565 | + | 0.336344i | −0.0317815 | + | 0.0183491i | ||||
\(337\) | 2.43133 | − | 0.651472i | 0.132443 | − | 0.0354879i | −0.191989 | − | 0.981397i | \(-0.561494\pi\) |
0.324431 | + | 0.945909i | \(0.394827\pi\) | |||||||
\(338\) | −11.0437 | − | 2.95914i | −0.600696 | − | 0.160956i | ||||
\(339\) | 2.20226 | + | 1.27148i | 0.119610 | + | 0.0690571i | ||||
\(340\) | −3.63778 | + | 4.99618i | −0.197286 | + | 0.270956i | ||||
\(341\) | 8.06813i | 0.436914i | ||||||||
\(342\) | 4.22698 | − | 1.06427i | 0.228569 | − | 0.0575490i | ||||
\(343\) | 6.44403 | + | 6.44403i | 0.347945 | + | 0.347945i | ||||
\(344\) | 2.08239 | − | 3.60681i | 0.112275 | − | 0.194466i | ||||
\(345\) | 0.465901 | + | 2.96126i | 0.0250833 | + | 0.159429i | ||||
\(346\) | −12.3435 | − | 21.3796i | −0.663590 | − | 1.14937i | ||||
\(347\) | −1.92417 | − | 7.18112i | −0.103295 | − | 0.385503i | 0.894851 | − | 0.446365i | \(-0.147282\pi\) |
−0.998146 | + | 0.0608622i | \(0.980615\pi\) | |||||||
\(348\) | −1.47830 | + | 5.51711i | −0.0792454 | + | 0.295748i | ||||
\(349\) | − | 25.1017i | − | 1.34366i | −0.740704 | − | 0.671832i | \(-0.765508\pi\) | ||
0.740704 | − | 0.671832i | \(-0.234492\pi\) | |||||||
\(350\) | −0.706054 | + | 3.28850i | −0.0377402 | + | 0.175778i | ||||
\(351\) | 0.625852 | + | 1.08401i | 0.0334055 | + | 0.0578601i | ||||
\(352\) | 0.420939 | − | 1.57097i | 0.0224361 | − | 0.0837327i | ||||
\(353\) | −21.8977 | − | 21.8977i | −1.16550 | − | 1.16550i | −0.983254 | − | 0.182243i | \(-0.941664\pi\) |
−0.182243 | − | 0.983254i | \(-0.558336\pi\) | |||||||
\(354\) | −6.43306 | −0.341913 | ||||||||
\(355\) | 6.07717 | − | 15.7831i | 0.322543 | − | 0.837680i | ||||
\(356\) | −0.593017 | − | 0.342379i | −0.0314299 | − | 0.0181460i | ||||
\(357\) | −0.481204 | + | 1.79588i | −0.0254680 | + | 0.0950480i | ||||
\(358\) | 11.3028 | − | 3.02856i | 0.597369 | − | 0.160065i | ||||
\(359\) | −18.0718 | − | 10.4337i | −0.953791 | − | 0.550671i | −0.0595342 | − | 0.998226i | \(-0.518962\pi\) |
−0.894256 | + | 0.447555i | \(0.852295\pi\) | |||||||
\(360\) | 2.22358 | + | 0.236016i | 0.117193 | + | 0.0124391i | ||||
\(361\) | 8.99727 | + | 16.7347i | 0.473541 | + | 0.880772i | ||||
\(362\) | −1.34414 | + | 1.34414i | −0.0706464 | + | 0.0706464i | ||||
\(363\) | 2.16240 | + | 8.07019i | 0.113497 | + | 0.423575i | ||||
\(364\) | 0.421004 | − | 0.729200i | 0.0220666 | − | 0.0382205i | ||||
\(365\) | −10.8691 | − | 24.4801i | −0.568917 | − | 1.28135i | ||||
\(366\) | −0.415397 | + | 0.719489i | −0.0217132 | + | 0.0376083i | ||||
\(367\) | −5.08157 | − | 1.36160i | −0.265256 | − | 0.0710751i | 0.123740 | − | 0.992315i | \(-0.460511\pi\) |
−0.388996 | + | 0.921240i | \(0.627178\pi\) | |||||||
\(368\) | −0.947951 | − | 0.947951i | −0.0494154 | − | 0.0494154i | ||||
\(369\) | −3.60261 | −0.187544 | ||||||||
\(370\) | 1.52517 | − | 3.96104i | 0.0792897 | − | 0.205925i | ||||
\(371\) | 0.669192 | − | 0.386358i | 0.0347427 | − | 0.0200587i | ||||
\(372\) | 3.50780 | − | 3.50780i | 0.181871 | − | 0.181871i | ||||
\(373\) | 14.6871 | − | 14.6871i | 0.760471 | − | 0.760471i | −0.215936 | − | 0.976407i | \(-0.569280\pi\) |
0.976407 | + | 0.215936i | \(0.0692804\pi\) | |||||||
\(374\) | −2.24756 | − | 3.89290i | −0.116219 | − | 0.201297i | ||||
\(375\) | 8.33162 | − | 7.45548i | 0.430243 | − | 0.384999i | ||||
\(376\) | 9.05171 | − | 5.22600i | 0.466806 | − | 0.269511i | ||||
\(377\) | −1.85040 | − | 6.90579i | −0.0953005 | − | 0.355666i | ||||
\(378\) | 0.649767 | − | 0.174105i | 0.0334204 | − | 0.00895497i | ||||
\(379\) | 8.46284 | 0.434707 | 0.217353 | − | 0.976093i | \(-0.430258\pi\) | ||||
0.217353 | + | 0.976093i | \(0.430258\pi\) | |||||||
\(380\) | 1.36885 | + | 9.65019i | 0.0702204 | + | 0.495045i | ||||
\(381\) | 8.47645 | 0.434262 | ||||||||
\(382\) | −4.29542 | + | 1.15095i | −0.219773 | + | 0.0588879i | ||||
\(383\) | 4.83330 | + | 18.0381i | 0.246970 | + | 0.921705i | 0.972383 | + | 0.233391i | \(0.0749822\pi\) |
−0.725413 | + | 0.688314i | \(0.758351\pi\) | |||||||
\(384\) | −0.866025 | + | 0.500000i | −0.0441942 | + | 0.0255155i | ||||
\(385\) | −1.97768 | − | 1.43997i | −0.100792 | − | 0.0733877i | ||||
\(386\) | −3.23985 | − | 5.61158i | −0.164904 | − | 0.285622i | ||||
\(387\) | −2.94494 | + | 2.94494i | −0.149700 | + | 0.149700i | ||||
\(388\) | −5.00166 | + | 5.00166i | −0.253921 | + | 0.253921i | ||||
\(389\) | −17.1551 | + | 9.90453i | −0.869800 | + | 0.502180i | −0.867282 | − | 0.497817i | \(-0.834135\pi\) |
−0.00251856 | + | 0.999997i | \(0.500802\pi\) | |||||||
\(390\) | −2.55809 | + | 1.13579i | −0.129534 | + | 0.0575128i | ||||
\(391\) | −3.70528 | −0.187384 | ||||||||
\(392\) | 4.62977 | + | 4.62977i | 0.233839 | + | 0.233839i | ||||
\(393\) | −14.0233 | − | 3.75753i | −0.707381 | − | 0.189542i | ||||
\(394\) | −8.72654 | + | 15.1148i | −0.439637 | + | 0.761473i | ||||
\(395\) | 14.6439 | + | 5.63853i | 0.736815 | + | 0.283705i | ||||
\(396\) | −0.813191 | + | 1.40849i | −0.0408644 | + | 0.0707792i | ||||
\(397\) | −8.37823 | − | 31.2680i | −0.420492 | − | 1.56930i | −0.773575 | − | 0.633704i | \(-0.781534\pi\) |
0.353084 | − | 0.935592i | \(-0.385133\pi\) | |||||||
\(398\) | −3.86039 | + | 3.86039i | −0.193504 | + | 0.193504i | ||||
\(399\) | 1.42746 | + | 2.56126i | 0.0714625 | + | 0.128223i | ||||
\(400\) | −1.04960 | + | 4.88859i | −0.0524800 | + | 0.244430i | ||||
\(401\) | −21.7720 | − | 12.5701i | −1.08724 | − | 0.627721i | −0.154403 | − | 0.988008i | \(-0.549345\pi\) |
−0.932841 | + | 0.360287i | \(0.882679\pi\) | |||||||
\(402\) | 4.62415 | − | 1.23904i | 0.230632 | − | 0.0617976i | ||||
\(403\) | −1.60712 | + | 5.99785i | −0.0800563 | + | 0.298774i | ||||
\(404\) | −8.96379 | − | 5.17525i | −0.445965 | − | 0.257478i | ||||
\(405\) | −2.08673 | − | 0.803478i | −0.103690 | − | 0.0399252i | ||||
\(406\) | −3.84221 | −0.190686 | ||||||||
\(407\) | 2.18299 | + | 2.18299i | 0.108207 | + | 0.108207i | ||||
\(408\) | −0.715345 | + | 2.66970i | −0.0354149 | + | 0.132170i | ||||
\(409\) | 4.90995 | + | 8.50429i | 0.242781 | + | 0.420510i | 0.961506 | − | 0.274786i | \(-0.0886069\pi\) |
−0.718724 | + | 0.695295i | \(0.755274\pi\) | |||||||
\(410\) | 0.850274 | − | 8.01068i | 0.0419920 | − | 0.395619i | ||||
\(411\) | − | 5.98291i | − | 0.295115i | ||||||
\(412\) | 4.03532 | − | 15.0600i | 0.198806 | − | 0.741953i | ||||
\(413\) | −1.12003 | − | 4.17999i | −0.0551129 | − | 0.205684i | ||||
\(414\) | 0.670303 | + | 1.16100i | 0.0329436 | + | 0.0570600i | ||||
\(415\) | 8.67797 | − | 11.9184i | 0.425985 | − | 0.585054i | ||||
\(416\) | 0.625852 | − | 1.08401i | 0.0306849 | − | 0.0531479i | ||||
\(417\) | −1.56026 | − | 1.56026i | −0.0764063 | − | 0.0764063i | ||||
\(418\) | −6.81910 | − | 1.93833i | −0.333533 | − | 0.0948069i | ||||
\(419\) | 8.66603i | 0.423363i | 0.977339 | + | 0.211682i | \(0.0678940\pi\) | ||||
−0.977339 | + | 0.211682i | \(0.932106\pi\) | |||||||
\(420\) | 0.233780 | + | 1.48590i | 0.0114073 | + | 0.0725045i | ||||
\(421\) | 25.8462 | + | 14.9223i | 1.25967 | + | 0.727270i | 0.973010 | − | 0.230763i | \(-0.0741223\pi\) |
0.286658 | + | 0.958033i | \(0.407456\pi\) | |||||||
\(422\) | −18.6557 | − | 4.99878i | −0.908146 | − | 0.243337i | ||||
\(423\) | −10.0959 | + | 2.70518i | −0.490878 | + | 0.131530i | ||||
\(424\) | 0.994803 | − | 0.574350i | 0.0483119 | − | 0.0278929i | ||||
\(425\) | 7.50277 | + | 11.6054i | 0.363938 | + | 0.562943i | ||||
\(426\) | − | 7.56358i | − | 0.366456i | ||||||
\(427\) | −0.539823 | − | 0.144645i | −0.0261239 | − | 0.00699987i | ||||
\(428\) | 15.2180 | + | 4.07766i | 0.735591 | + | 0.197101i | ||||
\(429\) | − | 2.03575i | − | 0.0982870i | ||||||
\(430\) | −5.85326 | − | 7.24337i | −0.282269 | − | 0.349306i | ||||
\(431\) | −25.0256 | + | 14.4485i | −1.20544 | + | 0.695960i | −0.961759 | − | 0.273895i | \(-0.911688\pi\) |
−0.243679 | + | 0.969856i | \(0.578354\pi\) | |||||||
\(432\) | 0.965926 | − | 0.258819i | 0.0464731 | − | 0.0124524i | ||||
\(433\) | 18.2959 | + | 4.90237i | 0.879245 | + | 0.235593i | 0.670081 | − | 0.742288i | \(-0.266259\pi\) |
0.209163 | + | 0.977881i | \(0.432926\pi\) | |||||||
\(434\) | 2.88998 | + | 1.66853i | 0.138723 | + | 0.0800920i | ||||
\(435\) | 10.3249 | + | 7.51769i | 0.495041 | + | 0.360446i | ||||
\(436\) | 17.1054i | 0.819200i | ||||||||
\(437\) | −4.19413 | + | 4.06897i | −0.200633 | + | 0.194645i | ||||
\(438\) | −8.47003 | − | 8.47003i | −0.404714 | − | 0.404714i | ||||
\(439\) | −9.90482 | + | 17.1556i | −0.472731 | + | 0.818794i | −0.999513 | − | 0.0312062i | \(-0.990065\pi\) |
0.526782 | + | 0.850001i | \(0.323398\pi\) | |||||||
\(440\) | −2.93996 | − | 2.14062i | −0.140157 | − | 0.102050i | ||||
\(441\) | −3.27375 | − | 5.67029i | −0.155893 | − | 0.270014i | ||||
\(442\) | −0.895401 | − | 3.34168i | −0.0425899 | − | 0.158948i | ||||
\(443\) | −3.07713 | + | 11.4840i | −0.146199 | + | 0.545622i | 0.853500 | + | 0.521092i | \(0.174475\pi\) |
−0.999699 | + | 0.0245292i | \(0.992191\pi\) | |||||||
\(444\) | − | 1.89821i | − | 0.0900849i | ||||||
\(445\) | −1.19093 | + | 0.962371i | −0.0564554 | + | 0.0456207i | ||||
\(446\) | 3.97404 | + | 6.88325i | 0.188176 | + | 0.325931i | ||||
\(447\) | −1.79182 | + | 6.68716i | −0.0847501 | + | 0.316292i | ||||
\(448\) | −0.475663 | − | 0.475663i | −0.0224729 | − | 0.0224729i | ||||
\(449\) | −7.41035 | −0.349716 | −0.174858 | − | 0.984594i | \(-0.555947\pi\) | ||||
−0.174858 | + | 0.984594i | \(0.555947\pi\) | |||||||
\(450\) | 2.27910 | − | 4.45036i | 0.107438 | − | 0.209792i | ||||
\(451\) | 5.07423 | + | 2.92961i | 0.238936 | + | 0.137950i | ||||
\(452\) | −0.658165 | + | 2.45630i | −0.0309575 | + | 0.115535i | ||||
\(453\) | 17.9120 | − | 4.79951i | 0.841579 | − | 0.225500i | ||||
\(454\) | 17.2561 | + | 9.96280i | 0.809868 | + | 0.467578i | ||||
\(455\) | −1.18337 | − | 1.46442i | −0.0554774 | − | 0.0686528i | ||||
\(456\) | 2.12203 | + | 3.80749i | 0.0993730 | + | 0.178302i | ||||
\(457\) | 13.3138 | − | 13.3138i | 0.622795 | − | 0.622795i | −0.323450 | − | 0.946245i | \(-0.604843\pi\) |
0.946245 | + | 0.323450i | \(0.104843\pi\) | |||||||
\(458\) | −4.06613 | − | 15.1750i | −0.189998 | − | 0.709082i | ||||
\(459\) | 1.38194 | − | 2.39359i | 0.0645035 | − | 0.111723i | ||||
\(460\) | −2.73977 | + | 1.21646i | −0.127743 | + | 0.0567176i | ||||
\(461\) | 15.5199 | − | 26.8812i | 0.722833 | − | 1.25198i | −0.237027 | − | 0.971503i | \(-0.576173\pi\) |
0.959860 | − | 0.280480i | \(-0.0904936\pi\) | |||||||
\(462\) | −1.05677 | − | 0.283161i | −0.0491654 | − | 0.0131738i | ||||
\(463\) | −24.2186 | − | 24.2186i | −1.12554 | − | 1.12554i | −0.990894 | − | 0.134642i | \(-0.957012\pi\) |
−0.134642 | − | 0.990894i | \(-0.542988\pi\) | |||||||
\(464\) | −5.71173 | −0.265160 | ||||||||
\(465\) | −4.50138 | − | 10.1383i | −0.208746 | − | 0.470151i | ||||
\(466\) | −10.4012 | + | 6.00513i | −0.481826 | + | 0.278182i | ||||
\(467\) | −24.7969 | + | 24.7969i | −1.14747 | + | 1.14747i | −0.160416 | + | 0.987050i | \(0.551284\pi\) |
−0.987050 | + | 0.160416i | \(0.948716\pi\) | |||||||
\(468\) | −0.885089 | + | 0.885089i | −0.0409132 | + | 0.0409132i | ||||
\(469\) | 1.61017 | + | 2.78890i | 0.0743508 | + | 0.128779i | ||||
\(470\) | −3.63239 | − | 23.0874i | −0.167550 | − | 1.06494i | ||||
\(471\) | 5.39894 | − | 3.11708i | 0.248770 | − | 0.143627i | ||||
\(472\) | −1.66500 | − | 6.21386i | −0.0766378 | − | 0.286016i | ||||
\(473\) | 6.54273 | − | 1.75312i | 0.300835 | − | 0.0806084i | ||||
\(474\) | 7.01765 | 0.322331 | ||||||||
\(475\) | 21.2371 | + | 4.89731i | 0.974427 | + | 0.224704i | ||||
\(476\) | −1.85923 | −0.0852177 | ||||||||
\(477\) | −1.10956 | + | 0.297305i | −0.0508032 | + | 0.0136127i | ||||
\(478\) | −0.939056 | − | 3.50461i | −0.0429514 | − | 0.160297i | ||||
\(479\) | 3.46817 | − | 2.00235i | 0.158465 | − | 0.0914896i | −0.418671 | − | 0.908138i | \(-0.637504\pi\) |
0.577135 | + | 0.816649i | \(0.304171\pi\) | |||||||
\(480\) | 0.347530 | + | 2.20890i | 0.0158625 | + | 0.100822i | ||||
\(481\) | 1.18800 | + | 2.05767i | 0.0541680 | + | 0.0938218i | ||||
\(482\) | −18.3122 | + | 18.3122i | −0.834096 | + | 0.834096i | ||||
\(483\) | −0.637676 | + | 0.637676i | −0.0290153 | + | 0.0290153i | ||||
\(484\) | −7.23554 | + | 4.17744i | −0.328888 | + | 0.189884i | ||||
\(485\) | 6.41836 | + | 14.4558i | 0.291443 | + | 0.656404i | ||||
\(486\) | −1.00000 | −0.0453609 | ||||||||
\(487\) | 6.31478 | + | 6.31478i | 0.286150 | + | 0.286150i | 0.835556 | − | 0.549406i | \(-0.185146\pi\) |
−0.549406 | + | 0.835556i | \(0.685146\pi\) | |||||||
\(488\) | −0.802486 | − | 0.215026i | −0.0363268 | − | 0.00973375i | ||||
\(489\) | 3.03353 | − | 5.25423i | 0.137181 | − | 0.237605i | ||||
\(490\) | 13.3810 | − | 5.94115i | 0.604492 | − | 0.268394i | ||||
\(491\) | −15.9356 | + | 27.6012i | −0.719162 | + | 1.24563i | 0.242170 | + | 0.970234i | \(0.422141\pi\) |
−0.961332 | + | 0.275392i | \(0.911193\pi\) | |||||||
\(492\) | −0.932424 | − | 3.47985i | −0.0420369 | − | 0.156884i | ||||
\(493\) | −11.1628 | + | 11.1628i | −0.502746 | + | 0.502746i | ||||
\(494\) | −4.68322 | − | 2.79928i | −0.210708 | − | 0.125945i | ||||
\(495\) | 2.28575 | + | 2.82860i | 0.102737 | + | 0.127136i | ||||
\(496\) | 4.29616 | + | 2.48039i | 0.192903 | + | 0.111373i | ||||
\(497\) | 4.91456 | − | 1.31685i | 0.220448 | − | 0.0590689i | ||||
\(498\) | 1.70647 | − | 6.36862i | 0.0764686 | − | 0.285385i | ||||
\(499\) | 30.6251 | + | 17.6814i | 1.37097 | + | 0.791530i | 0.991050 | − | 0.133490i | \(-0.0426183\pi\) |
0.379920 | + | 0.925020i | \(0.375952\pi\) | |||||||
\(500\) | 9.35782 | + | 6.11810i | 0.418494 | + | 0.273610i | ||||
\(501\) | −4.09726 | −0.183052 | ||||||||
\(502\) | −6.67327 | − | 6.67327i | −0.297843 | − | 0.297843i | ||||
\(503\) | −7.02279 | + | 26.2094i | −0.313131 | + | 1.16862i | 0.612587 | + | 0.790403i | \(0.290129\pi\) |
−0.925717 | + | 0.378216i | \(0.876538\pi\) | |||||||
\(504\) | 0.336344 | + | 0.582565i | 0.0149820 | + | 0.0259495i | ||||
\(505\) | −18.0015 | + | 14.5468i | −0.801057 | + | 0.647323i | ||||
\(506\) | − | 2.18034i | − | 0.0969279i | ||||||
\(507\) | −2.95914 | + | 11.0437i | −0.131420 | + | 0.490466i | ||||
\(508\) | 2.19387 | + | 8.18762i | 0.0973371 | + | 0.363267i | ||||
\(509\) | 21.6849 | + | 37.5594i | 0.961167 | + | 1.66479i | 0.719579 | + | 0.694411i | \(0.244335\pi\) |
0.241588 | + | 0.970379i | \(0.422332\pi\) | |||||||
\(510\) | 4.99618 | + | 3.63778i | 0.221234 | + | 0.161084i | ||||
\(511\) | 4.02888 | − | 6.97822i | 0.178227 | − | 0.308698i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | −1.06427 | − | 4.22698i | −0.0469886 | − | 0.186626i | ||||
\(514\) | − | 2.70355i | − | 0.119248i | ||||||
\(515\) | −28.1838 | − | 20.5210i | −1.24193 | − | 0.904263i | ||||
\(516\) | −3.60681 | − | 2.08239i | −0.158781 | − | 0.0916721i | ||||
\(517\) | 16.4197 | + | 4.39966i | 0.722140 | + | 0.193497i | ||||
\(518\) | 1.23339 | − | 0.330487i | 0.0541922 | − | 0.0145207i | ||||
\(519\) | −21.3796 | + | 12.3435i | −0.938458 | + | 0.541819i | ||||
\(520\) | −1.75917 | − | 2.17696i | −0.0771446 | − | 0.0954660i | ||||
\(521\) | 12.8096i | 0.561199i | 0.959825 | + | 0.280600i | \(0.0905333\pi\) | ||||
−0.959825 | + | 0.280600i | \(0.909467\pi\) | |||||||
\(522\) | 5.51711 | + | 1.47830i | 0.241477 | + | 0.0647036i | ||||
\(523\) | 26.2723 | + | 7.03964i | 1.14881 | + | 0.307822i | 0.782487 | − | 0.622667i | \(-0.213951\pi\) |
0.366321 | + | 0.930489i | \(0.380617\pi\) | |||||||
\(524\) | − | 14.5180i | − | 0.634220i | ||||||
\(525\) | 3.28850 | + | 0.706054i | 0.143522 | + | 0.0308147i | ||||
\(526\) | −12.1154 | + | 6.99482i | −0.528256 | + | 0.304988i | ||||
\(527\) | 13.2438 | − | 3.54867i | 0.576910 | − | 0.154582i | ||||
\(528\) | −1.57097 | − | 0.420939i | −0.0683675 | − | 0.0183190i | ||||
\(529\) | 18.3621 | + | 10.6014i | 0.798354 | + | 0.460930i | ||||
\(530\) | −0.399208 | − | 2.53736i | −0.0173405 | − | 0.110216i | ||||
\(531\) | 6.43306i | 0.279171i | ||||||||
\(532\) | −2.10453 | + | 2.04172i | −0.0912429 | + | 0.0885200i | ||||
\(533\) | 3.18863 | + | 3.18863i | 0.138115 | + | 0.138115i | ||||
\(534\) | −0.342379 | + | 0.593017i | −0.0148162 | + | 0.0256624i | ||||
\(535\) | 20.7363 | − | 28.4795i | 0.896508 | − | 1.23128i | ||||
\(536\) | 2.39364 | + | 4.14590i | 0.103389 | + | 0.179076i | ||||
\(537\) | −3.02856 | − | 11.3028i | −0.130692 | − | 0.487750i | ||||
\(538\) | −2.77731 | + | 10.3651i | −0.119738 | + | 0.446870i | ||||
\(539\) | 10.6487i | 0.458673i | ||||||||
\(540\) | 0.236016 | − | 2.22358i | 0.0101565 | − | 0.0956875i | ||||
\(541\) | 10.1395 | + | 17.5621i | 0.435930 | + | 0.755052i | 0.997371 | − | 0.0724642i | \(-0.0230863\pi\) |
−0.561441 | + | 0.827517i | \(0.689753\pi\) | |||||||
\(542\) | 0.658088 | − | 2.45602i | 0.0282673 | − | 0.105495i | ||||
\(543\) | 1.34414 | + | 1.34414i | 0.0576826 | + | 0.0576826i | ||||
\(544\) | −2.76388 | −0.118500 | ||||||||
\(545\) | 35.6943 | + | 13.7438i | 1.52897 | + | 0.588720i | ||||
\(546\) | −0.729200 | − | 0.421004i | −0.0312069 | − | 0.0180173i | ||||
\(547\) | 0.896314 | − | 3.34509i | 0.0383236 | − | 0.143026i | −0.944113 | − | 0.329622i | \(-0.893079\pi\) |
0.982437 | + | 0.186596i | \(0.0597455\pi\) | |||||||
\(548\) | 5.77905 | − | 1.54849i | 0.246869 | − | 0.0661483i | ||||
\(549\) | 0.719489 | + | 0.415397i | 0.0307071 | + | 0.0177287i | ||||
\(550\) | −6.82908 | + | 4.41494i | −0.291193 | + | 0.188254i | ||||
\(551\) | −0.377079 | + | 24.8940i | −0.0160641 | + | 1.06052i | ||||
\(552\) | −0.947951 | + | 0.947951i | −0.0403475 | + | 0.0403475i | ||||
\(553\) | 1.22181 | + | 4.55984i | 0.0519565 | + | 0.193904i | ||||
\(554\) | −5.04896 | + | 8.74505i | −0.214510 | + | 0.371542i | ||||
\(555\) | −3.96104 | − | 1.52517i | −0.168137 | − | 0.0647398i | ||||
\(556\) | 1.10327 | − | 1.91092i | 0.0467891 | − | 0.0810412i | ||||
\(557\) | −12.8118 | − | 3.43290i | −0.542852 | − | 0.145457i | −0.0230353 | − | 0.999735i | \(-0.507333\pi\) |
−0.519817 | + | 0.854278i | \(0.674000\pi\) | |||||||
\(558\) | −3.50780 | − | 3.50780i | −0.148497 | − | 0.148497i | ||||
\(559\) | 5.21307 | 0.220490 | ||||||||
\(560\) | −1.37476 | + | 0.610393i | −0.0580943 | + | 0.0257938i | ||||
\(561\) | −3.89290 | + | 2.24756i | −0.164358 | + | 0.0948922i | ||||
\(562\) | 6.12698 | − | 6.12698i | 0.258451 | − | 0.258451i | ||||
\(563\) | 17.9180 | − | 17.9180i | 0.755154 | − | 0.755154i | −0.220282 | − | 0.975436i | \(-0.570698\pi\) |
0.975436 | + | 0.220282i | \(0.0706978\pi\) | |||||||
\(564\) | −5.22600 | − | 9.05171i | −0.220055 | − | 0.381146i | ||||
\(565\) | 4.59681 | + | 3.34700i | 0.193389 | + | 0.140809i | ||||
\(566\) | 24.9192 | − | 14.3871i | 1.04743 | − | 0.604734i | ||||
\(567\) | −0.174105 | − | 0.649767i | −0.00731171 | − | 0.0272877i | ||||
\(568\) | 7.30585 | − | 1.95760i | 0.306547 | − | 0.0821390i | ||||
\(569\) | 11.8147 | 0.495298 | 0.247649 | − | 0.968850i | \(-0.420342\pi\) | ||||
0.247649 | + | 0.968850i | \(0.420342\pi\) | |||||||
\(570\) | 9.65019 | − | 1.36885i | 0.404202 | − | 0.0573347i | ||||
\(571\) | 1.26234 | 0.0528273 | 0.0264136 | − | 0.999651i | \(-0.491591\pi\) | ||||
0.0264136 | + | 0.999651i | \(0.491591\pi\) | |||||||
\(572\) | 1.96638 | − | 0.526891i | 0.0822187 | − | 0.0220304i | ||||
\(573\) | 1.15095 | + | 4.29542i | 0.0480818 | + | 0.179444i | ||||
\(574\) | 2.09876 | − | 1.21172i | 0.0876003 | − | 0.0505761i | ||||
\(575\) | 0.337062 | + | 6.69455i | 0.0140565 | + | 0.279182i | ||||
\(576\) | 0.500000 | + | 0.866025i | 0.0208333 | + | 0.0360844i | ||||
\(577\) | −32.8530 | + | 32.8530i | −1.36769 | + | 1.36769i | −0.503968 | + | 0.863722i | \(0.668127\pi\) |
−0.863722 | + | 0.503968i | \(0.831873\pi\) | |||||||
\(578\) | 6.61920 | − | 6.61920i | 0.275322 | − | 0.275322i | ||||
\(579\) | −5.61158 | + | 3.23985i | −0.233209 | + | 0.134644i | ||||
\(580\) | −4.58925 | + | 11.9188i | −0.190558 | + | 0.494902i | ||||
\(581\) | 4.43522 | 0.184004 | ||||||||
\(582\) | 5.00166 | + | 5.00166i | 0.207325 | + | 0.207325i | ||||
\(583\) | 1.80457 | + | 0.483532i | 0.0747375 | + | 0.0200259i | ||||
\(584\) | 5.98921 | − | 10.3736i | 0.247835 | − | 0.429264i | ||||
\(585\) | 1.13579 | + | 2.55809i | 0.0469590 | + | 0.105764i | ||||
\(586\) | −5.37578 | + | 9.31112i | −0.222071 | + | 0.384639i | ||||
\(587\) | −8.38515 | − | 31.2938i | −0.346092 | − | 1.29163i | −0.891331 | − | 0.453353i | \(-0.850228\pi\) |
0.545239 | − | 0.838281i | \(-0.316439\pi\) | |||||||
\(588\) | 4.62977 | − | 4.62977i | 0.190929 | − | 0.190929i | ||||
\(589\) | 11.0942 | − | 18.5606i | 0.457127 | − | 0.764778i | ||||
\(590\) | −14.3044 | − | 1.51831i | −0.588903 | − | 0.0625077i | ||||
\(591\) | 15.1148 | + | 8.72654i | 0.621740 | + | 0.358962i | ||||
\(592\) | 1.83353 | − | 0.491292i | 0.0753575 | − | 0.0201920i | ||||
\(593\) | 1.83147 | − | 6.83512i | 0.0752093 | − | 0.280685i | −0.918071 | − | 0.396415i | \(-0.870254\pi\) |
0.993281 | + | 0.115730i | \(0.0369208\pi\) | |||||||
\(594\) | 1.40849 | + | 0.813191i | 0.0577910 | + | 0.0333657i | ||||
\(595\) | −1.49385 | + | 3.87970i | −0.0612419 | + | 0.159052i | ||||
\(596\) | −6.92305 | −0.283579 | ||||||||
\(597\) | 3.86039 | + | 3.86039i | 0.157995 | + | 0.157995i | ||||
\(598\) | 0.434309 | − | 1.62086i | 0.0177602 | − | 0.0662821i | ||||
\(599\) | −2.85348 | − | 4.94237i | −0.116590 | − | 0.201940i | 0.801824 | − | 0.597560i | \(-0.203863\pi\) |
−0.918414 | + | 0.395620i | \(0.870530\pi\) | |||||||
\(600\) | 4.88859 | + | 1.04960i | 0.199576 | + | 0.0428497i | ||||
\(601\) | 39.9006i | 1.62758i | 0.581158 | + | 0.813791i | \(0.302600\pi\) | ||||
−0.581158 | + | 0.813791i | \(0.697400\pi\) | |||||||
\(602\) | 0.725107 | − | 2.70614i | 0.0295532 | − | 0.110294i | ||||
\(603\) | −1.23904 | − | 4.62415i | −0.0504575 | − | 0.188310i | ||||
\(604\) | 9.27193 | + | 16.0595i | 0.377270 | + | 0.653450i | ||||
\(605\) | 2.90357 | + | 18.4551i | 0.118047 | + | 0.750305i | ||||
\(606\) | −5.17525 | + | 8.96379i | −0.210230 | + | 0.364129i | ||||
\(607\) | −18.8575 | − | 18.8575i | −0.765401 | − | 0.765401i | 0.211892 | − | 0.977293i | \(-0.432038\pi\) |
−0.977293 | + | 0.211892i | \(0.932038\pi\) | |||||||
\(608\) | −3.12854 | + | 3.03517i | −0.126879 | + | 0.123092i | ||||
\(609\) | 3.84221i | 0.155694i | ||||||||
\(610\) | −1.09348 | + | 1.50180i | −0.0442737 | + | 0.0608061i | ||||
\(611\) | 11.3301 | + | 6.54141i | 0.458365 | + | 0.264637i | ||||
\(612\) | 2.66970 | + | 0.715345i | 0.107916 | + | 0.0289161i | ||||
\(613\) | −34.5726 | + | 9.26369i | −1.39637 | + | 0.374157i | −0.877041 | − | 0.480416i | \(-0.840486\pi\) |
−0.519332 | + | 0.854573i | \(0.673819\pi\) | |||||||
\(614\) | 13.5828 | − | 7.84202i | 0.548156 | − | 0.316478i | ||||
\(615\) | −8.01068 | − | 0.850274i | −0.323022 | − | 0.0342863i | ||||
\(616\) | − | 1.09405i | − | 0.0440805i | ||||||
\(617\) | −5.66641 | − | 1.51831i | −0.228121 | − | 0.0611248i | 0.142948 | − | 0.989730i | \(-0.454342\pi\) |
−0.371069 | + | 0.928605i | \(0.621009\pi\) | |||||||
\(618\) | −15.0600 | − | 4.03532i | −0.605802 | − | 0.162324i | ||||
\(619\) | 24.1098i | 0.969053i | 0.874777 | + | 0.484526i | \(0.161008\pi\) | ||||
−0.874777 | + | 0.484526i | \(0.838992\pi\) | |||||||
\(620\) | 8.62777 | − | 6.97197i | 0.346499 | − | 0.280001i | ||||
\(621\) | 1.16100 | − | 0.670303i | 0.0465893 | − | 0.0268983i | ||||
\(622\) | −26.9212 | + | 7.21352i | −1.07944 | + | 0.289236i | ||||
\(623\) | −0.444933 | − | 0.119219i | −0.0178259 | − | 0.00477643i | ||||
\(624\) | −1.08401 | − | 0.625852i | −0.0433950 | − | 0.0250541i | ||||
\(625\) | 20.2856 | − | 14.6114i | 0.811424 | − | 0.584457i | ||||
\(626\) | 27.5134i | 1.09966i | ||||||||
\(627\) | −1.93833 | + | 6.81910i | −0.0774095 | + | 0.272329i | ||||
\(628\) | 4.40822 | + | 4.40822i | 0.175907 | + | 0.175907i | ||||
\(629\) | 2.62321 | − | 4.54353i | 0.104594 | − | 0.181162i | ||||
\(630\) | 1.48590 | − | 0.233780i | 0.0591996 | − | 0.00931400i | ||||
\(631\) | −0.628980 | − | 1.08943i | −0.0250393 | − | 0.0433693i | 0.853234 | − | 0.521528i | \(-0.174638\pi\) |
−0.878274 | + | 0.478159i | \(0.841304\pi\) | |||||||
\(632\) | 1.81630 | + | 6.77853i | 0.0722486 | + | 0.269635i | ||||
\(633\) | −4.99878 | + | 18.6557i | −0.198684 | + | 0.741498i | ||||
\(634\) | − | 8.95311i | − | 0.355574i | ||||||
\(635\) | 18.8480 | + | 2.00058i | 0.747962 | + | 0.0793905i | ||||
\(636\) | −0.574350 | − | 0.994803i | −0.0227744 | − | 0.0394465i | ||||
\(637\) | −2.12116 | + | 7.91627i | −0.0840433 | + | 0.313654i | ||||
\(638\) | −6.56864 | − | 6.56864i | −0.260055 | − | 0.260055i | ||||
\(639\) | −7.56358 | −0.299210 | ||||||||
\(640\) | −2.04368 | + | 0.907393i | −0.0807836 | + | 0.0358678i | ||||
\(641\) | 27.4817 | + | 15.8666i | 1.08546 | + | 0.626693i | 0.932365 | − | 0.361518i | \(-0.117741\pi\) |
0.153099 | + | 0.988211i | \(0.451075\pi\) | |||||||
\(642\) | 4.07766 | − | 15.2180i | 0.160932 | − | 0.600607i | ||||
\(643\) | 45.9729 | − | 12.3184i | 1.81299 | − | 0.485790i | 0.817114 | − | 0.576477i | \(-0.195573\pi\) |
0.995879 | + | 0.0906865i | \(0.0289061\pi\) | |||||||
\(644\) | −0.780991 | − | 0.450905i | −0.0307753 | − | 0.0177681i | ||||
\(645\) | −7.24337 | + | 5.85326i | −0.285207 | + | 0.230472i | ||||
\(646\) | −0.182467 | + | 12.0461i | −0.00717907 | + | 0.473947i | ||||
\(647\) | 8.98596 | − | 8.98596i | 0.353275 | − | 0.353275i | −0.508052 | − | 0.861326i | \(-0.669634\pi\) |
0.861326 | + | 0.508052i | \(0.169634\pi\) | |||||||
\(648\) | −0.258819 | − | 0.965926i | −0.0101674 | − | 0.0379452i | ||||
\(649\) | 5.23131 | − | 9.06090i | 0.205347 | − | 0.355671i | ||||
\(650\) | −5.95617 | + | 1.92176i | −0.233620 | + | 0.0753777i | ||||
\(651\) | 1.66853 | − | 2.88998i | 0.0653949 | − | 0.113267i | ||||
\(652\) | 5.86034 | + | 1.57027i | 0.229508 | + | 0.0614966i | ||||
\(653\) | −1.65889 | − | 1.65889i | −0.0649173 | − | 0.0649173i | 0.673903 | − | 0.738820i | \(-0.264617\pi\) |
−0.738820 | + | 0.673903i | \(0.764617\pi\) | |||||||
\(654\) | 17.1054 | 0.668874 | ||||||||
\(655\) | −30.2950 | − | 11.6649i | −1.18372 | − | 0.455784i | ||||
\(656\) | 3.11995 | − | 1.80130i | 0.121814 | − | 0.0703291i | ||||
\(657\) | −8.47003 | + | 8.47003i | −0.330447 | + | 0.330447i | ||||
\(658\) | 4.97163 | − | 4.97163i | 0.193814 | − | 0.193814i | ||||
\(659\) | 25.4536 | + | 44.0869i | 0.991531 | + | 1.71738i | 0.608239 | + | 0.793754i | \(0.291876\pi\) |
0.383292 | + | 0.923627i | \(0.374790\pi\) | |||||||
\(660\) | −2.14062 | + | 2.93996i | −0.0833235 | + | 0.114438i | ||||
\(661\) | −21.1202 | + | 12.1938i | −0.821481 | + | 0.474282i | −0.850927 | − | 0.525284i | \(-0.823959\pi\) |
0.0294457 | + | 0.999566i | \(0.490626\pi\) | |||||||
\(662\) | −3.08016 | − | 11.4953i | −0.119714 | − | 0.446778i | ||||
\(663\) | −3.34168 | + | 0.895401i | −0.129780 | + | 0.0347745i | ||||
\(664\) | 6.59328 | 0.255869 | ||||||||
\(665\) | 2.56958 | + | 6.03206i | 0.0996439 | + | 0.233913i | ||||
\(666\) | −1.89821 | −0.0735540 | ||||||||
\(667\) | −7.39627 | + | 1.98182i | −0.286385 | + | 0.0767365i | ||||
\(668\) | −1.06045 | − | 3.95765i | −0.0410300 | − | 0.153126i | ||||
\(669\) | 6.88325 | − | 3.97404i | 0.266122 | − | 0.153645i | ||||
\(670\) | 10.5746 | − | 1.66372i | 0.408532 | − | 0.0642752i | ||||
\(671\) | −0.675595 | − | 1.17017i | −0.0260811 | − | 0.0451737i | ||||
\(672\) | −0.475663 | + | 0.475663i | −0.0183491 | + | 0.0183491i | ||||
\(673\) | −19.9198 | + | 19.9198i | −0.767852 | + | 0.767852i | −0.977728 | − | 0.209876i | \(-0.932694\pi\) |
0.209876 | + | 0.977728i | \(0.432694\pi\) | |||||||
\(674\) | 2.17987 | − | 1.25855i | 0.0839653 | − | 0.0484774i | ||||
\(675\) | −4.45036 | − | 2.27910i | −0.171294 | − | 0.0877225i | ||||
\(676\) | −11.4332 | −0.439740 | ||||||||
\(677\) | −17.6870 | − | 17.6870i | −0.679767 | − | 0.679767i | 0.280180 | − | 0.959947i | \(-0.409606\pi\) |
−0.959947 | + | 0.280180i | \(0.909606\pi\) | |||||||
\(678\) | 2.45630 | + | 0.658165i | 0.0943338 | + | 0.0252767i | ||||
\(679\) | −2.37910 | + | 4.12072i | −0.0913015 | + | 0.158139i | ||||
\(680\) | −2.22072 | + | 5.76746i | −0.0851607 | + | 0.221172i | ||||
\(681\) | 9.96280 | − | 17.2561i | 0.381775 | − | 0.661255i | ||||
\(682\) | 2.08819 | + | 7.79321i | 0.0799608 | + | 0.298418i | ||||
\(683\) | −26.7822 | + | 26.7822i | −1.02479 | + | 1.02479i | −0.0251094 | + | 0.999685i | \(0.507993\pi\) |
−0.999685 | + | 0.0251094i | \(0.992007\pi\) | |||||||
\(684\) | 3.80749 | − | 2.12203i | 0.145583 | − | 0.0811377i | ||||
\(685\) | 1.41206 | − | 13.3035i | 0.0539522 | − | 0.508299i | ||||
\(686\) | 7.89230 | + | 4.55662i | 0.301329 | + | 0.173973i | ||||
\(687\) | −15.1750 | + | 4.06613i | −0.578963 | + | 0.155133i | ||||
\(688\) | 1.07792 | − | 4.02287i | 0.0410955 | − | 0.153370i | ||||
\(689\) | 1.24520 | + | 0.718916i | 0.0474383 | + | 0.0273885i | ||||
\(690\) | 1.21646 | + | 2.73977i | 0.0463097 | + | 0.104301i | ||||
\(691\) | −31.6578 | −1.20432 | −0.602160 | − | 0.798376i | \(-0.705693\pi\) | ||||
−0.602160 | + | 0.798376i | \(0.705693\pi\) | |||||||
\(692\) | −17.4563 | − | 17.4563i | −0.663590 | − | 0.663590i | ||||
\(693\) | −0.283161 | + | 1.05677i | −0.0107564 | + | 0.0401434i | ||||
\(694\) | −3.71722 | − | 6.43841i | −0.141104 | − | 0.244399i | ||||
\(695\) | −3.10112 | − | 3.83761i | −0.117632 | − | 0.145569i | ||||
\(696\) | 5.71173i | 0.216503i | ||||||||
\(697\) | 2.57711 | − | 9.61790i | 0.0976149 | − | 0.364304i | ||||
\(698\) | −6.49680 | − | 24.2464i | −0.245908 | − | 0.917739i | ||||
\(699\) | 6.00513 | + | 10.4012i | 0.227135 | + | 0.393409i | ||||
\(700\) | 0.169131 | + | 3.35919i | 0.00639254 | + | 0.126965i | ||||
\(701\) | −2.58474 | + | 4.47690i | −0.0976242 | + | 0.169090i | −0.910701 | − | 0.413067i | \(-0.864458\pi\) |
0.813077 | + | 0.582157i | \(0.197791\pi\) | |||||||
\(702\) | 0.885089 | + | 0.885089i | 0.0334055 | + | 0.0334055i | ||||
\(703\) | −2.02020 | − | 8.02368i | −0.0761933 | − | 0.302619i | ||||
\(704\) | − | 1.62638i | − | 0.0612966i | ||||||
\(705\) | −23.0874 | + | 3.63239i | −0.869522 | + | 0.136804i | ||||
\(706\) | −26.8191 | − | 15.4840i | −1.00935 | − | 0.582748i | ||||
\(707\) | −6.72541 | − | 1.80207i | −0.252935 | − | 0.0677737i | ||||
\(708\) | −6.21386 | + | 1.66500i | −0.233531 | + | 0.0625745i | ||||
\(709\) | 6.38339 | − | 3.68545i | 0.239733 | − | 0.138410i | −0.375321 | − | 0.926895i | \(-0.622467\pi\) |
0.615054 | + | 0.788485i | \(0.289134\pi\) | |||||||
\(710\) | 1.78513 | − | 16.8182i | 0.0669946 | − | 0.631176i | ||||
\(711\) | − | 7.01765i | − | 0.263183i | ||||||
\(712\) | −0.661425 | − | 0.177228i | −0.0247879 | − | 0.00664191i | ||||
\(713\) | 6.42384 | + | 1.72126i | 0.240575 | + | 0.0644618i | ||||
\(714\) | 1.85923i | 0.0695800i | ||||||||
\(715\) | 0.480470 | − | 4.52665i | 0.0179686 | − | 0.169287i | ||||
\(716\) | 10.1338 | − | 5.85073i | 0.378717 | − | 0.218652i | ||||
\(717\) | −3.50461 | + | 0.939056i | −0.130882 | + | 0.0350697i | ||||
\(718\) | −20.1564 | − | 5.40090i | −0.752231 | − | 0.201560i | ||||
\(719\) | −42.8222 | − | 24.7234i | −1.59700 | − | 0.922027i | −0.992061 | − | 0.125754i | \(-0.959865\pi\) |
−0.604937 | − | 0.796273i | \(-0.706802\pi\) | |||||||
\(720\) | 2.20890 | − | 0.347530i | 0.0823207 | − | 0.0129517i | ||||
\(721\) | − | 10.4881i | − | 0.390596i | ||||||
\(722\) | 13.0219 | + | 13.8358i | 0.484627 | + | 0.514915i | ||||
\(723\) | 18.3122 | + | 18.3122i | 0.681037 | + | 0.681037i | ||||
\(724\) | −0.950450 | + | 1.64623i | −0.0353232 | + | 0.0611816i | ||||
\(725\) | 21.1839 | + | 19.1530i | 0.786751 | + | 0.711325i | ||||
\(726\) | 4.17744 | + | 7.23554i | 0.155039 | + | 0.268536i | ||||
\(727\) | −4.32111 | − | 16.1266i | −0.160261 | − | 0.598102i | −0.998597 | − | 0.0529488i | \(-0.983138\pi\) |
0.838336 | − | 0.545154i | \(-0.183529\pi\) | |||||||
\(728\) | 0.217928 | − | 0.813317i | 0.00807693 | − | 0.0301435i | ||||
\(729\) | 1.00000i | 0.0370370i | ||||||||
\(730\) | −16.8347 | − | 20.8328i | −0.623080 | − | 0.771057i | ||||
\(731\) | −5.75548 | − | 9.96878i | −0.212874 | − | 0.368709i | ||||
\(732\) | −0.215026 | + | 0.802486i | −0.00794757 | + | 0.0296607i | ||||
\(733\) | −28.9803 | − | 28.9803i | −1.07041 | − | 1.07041i | −0.997326 | − | 0.0730851i | \(-0.976716\pi\) |
−0.0730851 | − | 0.997326i | \(-0.523284\pi\) | |||||||
\(734\) | −5.26083 | −0.194181 | ||||||||
\(735\) | −5.94115 | − | 13.3810i | −0.219142 | − | 0.493565i | ||||
\(736\) | −1.16100 | − | 0.670303i | −0.0427950 | − | 0.0247077i | ||||
\(737\) | −2.01515 | + | 7.52064i | −0.0742290 | + | 0.277026i | ||||
\(738\) | −3.47985 | + | 0.932424i | −0.128095 | + | 0.0343230i | ||||
\(739\) | 0.401662 | + | 0.231900i | 0.0147754 | + | 0.00853057i | 0.507370 | − | 0.861729i | \(-0.330618\pi\) |
−0.492594 | + | 0.870259i | \(0.663951\pi\) | |||||||
\(740\) | 0.448007 | − | 4.22081i | 0.0164691 | − | 0.155160i | ||||
\(741\) | −2.79928 | + | 4.68322i | −0.102834 | + | 0.172042i | ||||
\(742\) | 0.546393 | − | 0.546393i | 0.0200587 | − | 0.0200587i | ||||
\(743\) | −8.94439 | − | 33.3809i | −0.328138 | − | 1.22463i | −0.911120 | − | 0.412142i | \(-0.864781\pi\) |
0.582982 | − | 0.812485i | \(-0.301886\pi\) | |||||||
\(744\) | 2.48039 | − | 4.29616i | 0.0909355 | − | 0.157505i | ||||
\(745\) | −5.56252 | + | 14.4465i | −0.203795 | + | 0.529279i | ||||
\(746\) | 10.3854 | − | 17.9880i | 0.380235 | − | 0.658587i | ||||
\(747\) | −6.36862 | − | 1.70647i | −0.233016 | − | 0.0624363i | ||||
\(748\) | −3.17854 | − | 3.17854i | −0.116219 | − | 0.116219i | ||||
\(749\) | 10.5981 | 0.387247 | ||||||||
\(750\) | 6.11810 | − | 9.35782i | 0.223402 | − | 0.341699i | ||||
\(751\) | −12.6538 | + | 7.30567i | −0.461743 | + | 0.266588i | −0.712777 | − | 0.701391i | \(-0.752563\pi\) |
0.251034 | + | 0.967978i | \(0.419230\pi\) | |||||||
\(752\) | 7.39069 | − | 7.39069i | 0.269511 | − | 0.269511i | ||||
\(753\) | −6.67327 | + | 6.67327i | −0.243188 | + | 0.243188i | ||||
\(754\) | −3.57470 | − | 6.19156i | −0.130183 | − | 0.225483i | ||||
\(755\) | 40.9615 | − | 6.44455i | 1.49074 | − | 0.234541i | ||||
\(756\) | 0.582565 | − | 0.336344i | 0.0211877 | − | 0.0122327i | ||||
\(757\) | 2.48410 | + | 9.27080i | 0.0902862 | + | 0.336953i | 0.996263 | − | 0.0863753i | \(-0.0275284\pi\) |
−0.905976 | + | 0.423328i | \(0.860862\pi\) | |||||||
\(758\) | 8.17448 | − | 2.19034i | 0.296910 | − | 0.0795569i | ||||
\(759\) | −2.18034 | −0.0791413 | ||||||||
\(760\) | 3.81986 | + | 8.96709i | 0.138561 | + | 0.325270i | ||||
\(761\) | 40.8010 | 1.47903 | 0.739517 | − | 0.673138i | \(-0.235054\pi\) | ||||
0.739517 | + | 0.673138i | \(0.235054\pi\) | |||||||
\(762\) | 8.18762 | − | 2.19387i | 0.296606 | − | 0.0794754i | ||||
\(763\) | 2.97813 | + | 11.1145i | 0.107815 | + | 0.402373i | ||||
\(764\) | −3.85117 | + | 2.22347i | −0.139330 | + | 0.0804424i | ||||
\(765\) | 3.63778 | − | 4.99618i | 0.131524 | − | 0.180637i | ||||
\(766\) | 9.33722 | + | 16.1725i | 0.337367 | + | 0.584338i | ||||
\(767\) | 5.69383 | − | 5.69383i | 0.205592 | − | 0.205592i | ||||
\(768\) | −0.707107 | + | 0.707107i | −0.0255155 | + | 0.0255155i | ||||
\(769\) | 38.9776 | − | 22.5037i | 1.40557 | − | 0.811506i | 0.410612 | − | 0.911810i | \(-0.365315\pi\) |
0.994957 | + | 0.100304i | \(0.0319816\pi\) | |||||||
\(770\) | −2.28298 | − | 0.879045i | −0.0822729 | − | 0.0316786i | ||||
\(771\) | −2.70355 | −0.0973659 | ||||||||
\(772\) | −4.58184 | − | 4.58184i | −0.164904 | − | 0.164904i | ||||
\(773\) | 10.4792 | + | 2.80790i | 0.376912 | + | 0.100993i | 0.442301 | − | 0.896867i | \(-0.354162\pi\) |
−0.0653895 | + | 0.997860i | \(0.520829\pi\) | |||||||
\(774\) | −2.08239 | + | 3.60681i | −0.0748500 | + | 0.129644i | ||||
\(775\) | −7.61637 | − | 23.6056i | −0.273588 | − | 0.847938i | ||||
\(776\) | −3.53671 | + | 6.12575i | −0.126960 | + | 0.219902i | ||||
\(777\) | −0.330487 | − | 1.23339i | −0.0118561 | − | 0.0442477i | ||||
\(778\) | −14.0071 | + | 14.0071i | −0.502180 | + | 0.502180i | ||||
\(779\) | −7.64483 | − | 13.7169i | −0.273904 | − | 0.491459i | ||||
\(780\) | −2.17696 | + | 1.75917i | −0.0779476 | + | 0.0629883i | ||||
\(781\) | 10.6532 | + | 6.15064i | 0.381202 | + | 0.220087i | ||||
\(782\) | −3.57902 | + | 0.958996i | −0.127986 | + | 0.0342936i | ||||
\(783\) | 1.47830 | − | 5.51711i | 0.0528303 | − | 0.197165i | ||||
\(784\) | 5.67029 | + | 3.27375i | 0.202510 | + | 0.116919i | ||||
\(785\) | 12.7406 | − | 5.65683i | 0.454733 | − | 0.201901i | ||||
\(786\) | −14.5180 | −0.517839 | ||||||||
\(787\) | −25.2380 | − | 25.2380i | −0.899639 | − | 0.899639i | 0.0957652 | − | 0.995404i | \(-0.469470\pi\) |
−0.995404 | + | 0.0957652i | \(0.969470\pi\) | |||||||
\(788\) | −4.51719 | + | 16.8584i | −0.160918 | + | 0.600555i | ||||
\(789\) | 6.99482 | + | 12.1154i | 0.249022 | + | 0.431319i | ||||
\(790\) | 15.6043 | + | 1.65628i | 0.555176 | + | 0.0589278i | ||||
\(791\) | 1.71062i | 0.0608225i | ||||||||
\(792\) | −0.420939 | + | 1.57097i | −0.0149574 | + | 0.0558218i | ||||
\(793\) | −0.269148 | − | 1.00448i | −0.00955774 | − | 0.0356700i | ||||
\(794\) | −16.1855 | − | 28.0341i | −0.574402 | − | 0.994894i | ||||
\(795\) | −2.53736 | + | 0.399208i | −0.0899908 | + | 0.0141584i | ||||
\(796\) | −2.72971 | + | 4.72800i | −0.0967520 | + | 0.167579i | ||||
\(797\) | −24.1345 | − | 24.1345i | −0.854888 | − | 0.854888i | 0.135842 | − | 0.990730i | \(-0.456626\pi\) |
−0.990730 | + | 0.135842i | \(0.956626\pi\) | |||||||
\(798\) | 2.04172 | + | 2.10453i | 0.0722763 | + | 0.0744996i | ||||
\(799\) | − | 28.8881i | − | 1.02199i | ||||||
\(800\) | 0.251425 | + | 4.99367i | 0.00888922 | + | 0.176553i | ||||
\(801\) | 0.593017 | + | 0.342379i | 0.0209532 | + | 0.0120974i | ||||
\(802\) | −24.2836 | − | 6.50676i | −0.857483 | − | 0.229762i | ||||
\(803\) | 18.8177 | − | 5.04219i | 0.664062 | − | 0.177935i | ||||
\(804\) | 4.14590 | − | 2.39364i | 0.146215 | − | 0.0844171i | ||||
\(805\) | −1.56842 | + | 1.26742i | −0.0552797 | + | 0.0446707i | ||||
\(806\) | 6.20943i | 0.218718i | ||||||||
\(807\) | 10.3651 | + | 2.77731i | 0.364868 | + | 0.0977660i | ||||
\(808\) | −9.99781 | − | 2.67890i | −0.351722 | − | 0.0942435i | ||||
\(809\) | − | 50.3589i | − | 1.77052i | −0.465092 | − | 0.885262i | \(-0.653979\pi\) | ||
0.465092 | − | 0.885262i | \(-0.346021\pi\) | |||||||
\(810\) | −2.22358 | − | 0.236016i | −0.0781285 | − | 0.00829276i | ||||
\(811\) | 8.25020 | − | 4.76325i | 0.289704 | − | 0.167260i | −0.348105 | − | 0.937456i | \(-0.613175\pi\) |
0.637808 | + | 0.770195i | \(0.279841\pi\) | |||||||
\(812\) | −3.71129 | + | 0.994438i | −0.130241 | + | 0.0348979i | ||||
\(813\) | −2.45602 | − | 0.658088i | −0.0861363 | − | 0.0230802i | ||||
\(814\) | 2.67360 | + | 1.54361i | 0.0937098 | + | 0.0541034i | ||||
\(815\) | 7.98538 | − | 10.9672i | 0.279716 | − | 0.384165i | ||||
\(816\) | 2.76388i | 0.0967552i | ||||||||
\(817\) | −17.4621 | − | 4.96361i | −0.610922 | − | 0.173655i | ||||
\(818\) | 6.94372 | + | 6.94372i | 0.242781 | + | 0.242781i | ||||
\(819\) | −0.421004 | + | 0.729200i | −0.0147111 | + | 0.0254803i | ||||
\(820\) | −1.25202 | − | 7.95779i | −0.0437223 | − | 0.277898i | ||||
\(821\) | 8.65698 | + | 14.9943i | 0.302131 | + | 0.523306i | 0.976618 | − | 0.214980i | \(-0.0689688\pi\) |
−0.674488 | + | 0.738286i | \(0.735635\pi\) | |||||||
\(822\) | −1.54849 | − | 5.77905i | −0.0540098 | − | 0.201567i | ||||
\(823\) | 1.68777 | − | 6.29884i | 0.0588320 | − | 0.219564i | −0.930251 | − | 0.366924i | \(-0.880411\pi\) |
0.989083 | + | 0.147360i | \(0.0470776\pi\) | |||||||
\(824\) | − | 15.5913i | − | 0.543148i | ||||||
\(825\) | 4.41494 | + | 6.82908i | 0.153709 | + | 0.237758i | ||||
\(826\) | −2.16372 | − | 3.74768i | −0.0752856 | − | 0.130398i | ||||
\(827\) | 8.36236 | − | 31.2088i | 0.290788 | − | 1.08523i | −0.653717 | − | 0.756739i | \(-0.726792\pi\) |
0.944505 | − | 0.328496i | \(-0.106542\pi\) | |||||||
\(828\) | 0.947951 | + | 0.947951i | 0.0329436 | + | 0.0329436i | ||||
\(829\) | −21.7687 | −0.756059 | −0.378030 | − | 0.925793i | \(-0.623398\pi\) | ||||
−0.378030 | + | 0.925793i | \(0.623398\pi\) | |||||||
\(830\) | 5.29756 | − | 13.7584i | 0.183881 | − | 0.477560i | ||||
\(831\) | 8.74505 | + | 5.04896i | 0.303362 | + | 0.175146i | ||||
\(832\) | 0.323965 | − | 1.20905i | 0.0112315 | − | 0.0419164i | ||||
\(833\) | 17.4799 | − | 4.68371i | 0.605641 | − | 0.162281i | ||||
\(834\) | −1.91092 | − | 1.10327i | −0.0661698 | − | 0.0382032i | ||||
\(835\) | −9.11057 | − | 0.967018i | −0.315284 | − | 0.0334651i | ||||
\(836\) | −7.08843 | − | 0.107371i | −0.245158 | − | 0.00371351i | ||||
\(837\) | −3.50780 | + | 3.50780i | −0.121247 | + | 0.121247i | ||||
\(838\) | 2.24293 | + | 8.37074i | 0.0774808 | + | 0.289162i | ||||
\(839\) | −5.19126 | + | 8.99153i | −0.179222 | + | 0.310422i | −0.941614 | − | 0.336693i | \(-0.890691\pi\) |
0.762392 | + | 0.647115i | \(0.224025\pi\) | |||||||
\(840\) | 0.610393 | + | 1.37476i | 0.0210605 | + | 0.0474338i | ||||
\(841\) | −1.81192 | + | 3.13834i | −0.0624801 | + | 0.108219i | ||||
\(842\) | 28.8277 | + | 7.72437i | 0.993469 | + | 0.266199i | ||||
\(843\) | −6.12698 | − | 6.12698i | −0.211024 | − | 0.211024i | ||||
\(844\) | −19.3138 | −0.664809 | ||||||||
\(845\) | −9.18636 | + | 23.8580i | −0.316020 | + | 0.820741i | ||||
\(846\) | −9.05171 | + | 5.22600i | −0.311204 | + | 0.179674i | ||||
\(847\) | −3.97410 | + | 3.97410i | −0.136552 | + | 0.136552i | ||||
\(848\) | 0.812253 | − | 0.812253i | 0.0278929 | − | 0.0278929i | ||||
\(849\) | −14.3871 | − | 24.9192i | −0.493764 | − | 0.855224i | ||||
\(850\) | 10.2508 | + | 9.26806i | 0.351600 | + | 0.317892i | ||||
\(851\) | 2.20382 | − | 1.27237i | 0.0755458 | − | 0.0436164i | ||||
\(852\) | −1.95760 | − | 7.30585i | −0.0670662 | − | 0.250294i | ||||
\(853\) | −6.70006 | + | 1.79528i | −0.229406 | + | 0.0614691i | −0.371691 | − | 0.928357i | \(-0.621222\pi\) |
0.142285 | + | 0.989826i | \(0.454555\pi\) | |||||||
\(854\) | −0.558866 | −0.0191240 | ||||||||
\(855\) | −1.36885 | − | 9.65019i | −0.0468136 | − | 0.330030i | ||||
\(856\) | 15.7549 | 0.538490 | ||||||||
\(857\) | 25.5544 | − | 6.84728i | 0.872922 | − | 0.233899i | 0.205571 | − | 0.978642i | \(-0.434095\pi\) |
0.667351 | + | 0.744743i | \(0.267428\pi\) | |||||||
\(858\) | −0.526891 | − | 1.96638i | −0.0179878 | − | 0.0671313i | ||||
\(859\) | 5.13134 | − | 2.96258i | 0.175079 | − | 0.101082i | −0.409899 | − | 0.912131i | \(-0.634436\pi\) |
0.584979 | + | 0.811049i | \(0.301103\pi\) | |||||||
\(860\) | −7.52853 | − | 5.48162i | −0.256721 | − | 0.186922i | ||||
\(861\) | −1.21172 | − | 2.09876i | −0.0412952 | − | 0.0715254i | ||||
\(862\) | −20.4333 | + | 20.4333i | −0.695960 | + | 0.695960i | ||||
\(863\) | −28.1433 | + | 28.1433i | −0.958010 | + | 0.958010i | −0.999153 | − | 0.0411431i | \(-0.986900\pi\) |
0.0411431 | + | 0.999153i | \(0.486900\pi\) | |||||||
\(864\) | 0.866025 | − | 0.500000i | 0.0294628 | − | 0.0170103i | ||||
\(865\) | −50.4524 | + | 22.4008i | −1.71543 | + | 0.761650i | ||||
\(866\) | 18.9413 | 0.643652 | ||||||||
\(867\) | −6.61920 | − | 6.61920i | −0.224800 | − | 0.224800i | ||||
\(868\) | 3.22335 | + | 0.863695i | 0.109408 | + | 0.0293157i | ||||
\(869\) | −5.70669 | + | 9.88429i | −0.193586 | + | 0.335301i | ||||
\(870\) | 11.9188 | + | 4.58925i | 0.404085 | + | 0.155590i | ||||
\(871\) | −2.99613 | + | 5.18944i | −0.101520 | + | 0.175838i | ||||
\(872\) | 4.42720 | + | 16.5225i | 0.149924 | + | 0.559524i | ||||
\(873\) | 5.00166 | − | 5.00166i | 0.169280 | − | 0.169280i | ||||
\(874\) | −2.99809 | + | 5.01584i | −0.101412 | + | 0.169663i | ||||
\(875\) | 7.14559 | + | 2.34610i | 0.241565 | + | 0.0793128i | ||||
\(876\) | −10.3736 | − | 5.98921i | −0.350492 | − | 0.202357i | ||||
\(877\) | 45.3093 | − | 12.1406i | 1.52999 | − | 0.409959i | 0.606972 | − | 0.794723i | \(-0.292384\pi\) |
0.923015 | + | 0.384765i | \(0.125717\pi\) | |||||||
\(878\) | −5.12711 | + | 19.1346i | −0.173032 | + | 0.645763i | ||||
\(879\) | 9.31112 | + | 5.37578i | 0.314056 | + | 0.181320i | ||||
\(880\) | −3.39381 | − | 1.30676i | −0.114405 | − | 0.0440510i | ||||
\(881\) | 31.7793 | 1.07067 | 0.535336 | − | 0.844639i | \(-0.320185\pi\) | ||||
0.535336 | + | 0.844639i | \(0.320185\pi\) | |||||||
\(882\) | −4.62977 | − | 4.62977i | −0.155893 | − | 0.155893i | ||||
\(883\) | 8.43214 | − | 31.4692i | 0.283764 | − | 1.05902i | −0.665974 | − | 0.745975i | \(-0.731984\pi\) |
0.949738 | − | 0.313047i | \(-0.101350\pi\) | |||||||
\(884\) | −1.72978 | − | 2.99607i | −0.0581788 | − | 0.100769i | ||||
\(885\) | −1.51831 | + | 14.3044i | −0.0510373 | + | 0.480838i | ||||
\(886\) | 11.8891i | 0.399423i | ||||||||
\(887\) | 10.8630 | − | 40.5411i | 0.364742 | − | 1.36124i | −0.503027 | − | 0.864271i | \(-0.667780\pi\) |
0.867770 | − | 0.496967i | \(-0.165553\pi\) | |||||||
\(888\) | −0.491292 | − | 1.83353i | −0.0164867 | − | 0.0615291i | ||||
\(889\) | 2.85100 | + | 4.93809i | 0.0956196 | + | 0.165618i | ||||
\(890\) | −0.901267 | + | 1.23781i | −0.0302106 | + | 0.0414916i | ||||
\(891\) | 0.813191 | − | 1.40849i | 0.0272429 | − | 0.0471862i | ||||
\(892\) | 5.62015 | + | 5.62015i | 0.188176 | + | 0.188176i | ||||
\(893\) | −31.7236 | − | 32.6995i | −1.06159 | − | 1.09425i | ||||
\(894\) | 6.92305i | 0.231542i | ||||||||
\(895\) | −4.06661 | − | 25.8473i | −0.135932 | − | 0.863981i | ||||
\(896\) | −0.582565 | − | 0.336344i | −0.0194621 | − | 0.0112365i | ||||
\(897\) | −1.62086 | − | 0.434309i | −0.0541191 | − | 0.0145012i | ||||
\(898\) | −7.15784 | + | 1.91794i | −0.238860 | + | 0.0640024i | ||||
\(899\) | 24.5385 | − | 14.1673i | 0.818405 | − | 0.472507i | ||||
\(900\) | 1.04960 | − | 4.88859i | 0.0349867 | − | 0.162953i | ||||
\(901\) | − | 3.17487i | − | 0.105770i | ||||||
\(902\) | 5.65957 | + | 1.51648i | 0.188443 | + | 0.0504932i | ||||
\(903\) | −2.70614 | − | 0.725107i | −0.0900546 | − | 0.0241301i | ||||
\(904\) | 2.54295i | 0.0845774i | ||||||||
\(905\) | 2.67156 | + | 3.30604i | 0.0888057 | + | 0.109896i | ||||
\(906\) | 16.0595 | − | 9.27193i | 0.533540 | − | 0.308039i | ||||
\(907\) | −9.56406 | + | 2.56268i | −0.317569 | + | 0.0850925i | −0.414083 | − | 0.910239i | \(-0.635898\pi\) |
0.0965134 | + | 0.995332i | \(0.469231\pi\) | |||||||
\(908\) | 19.2467 | + | 5.15713i | 0.638723 | + | 0.171145i | ||||
\(909\) | 8.96379 | + | 5.17525i | 0.297310 | + | 0.171652i | ||||
\(910\) | −1.52207 | − | 1.10824i | −0.0504561 | − | 0.0367377i | ||||
\(911\) | 17.1537i | 0.568328i | 0.958776 | + | 0.284164i | \(0.0917160\pi\) | ||||
−0.958776 | + | 0.284164i | \(0.908284\pi\) | |||||||
\(912\) | 3.03517 | + | 3.12854i | 0.100505 | + | 0.103596i | ||||
\(913\) | 7.58244 | + | 7.58244i | 0.250942 | + | 0.250942i | ||||
\(914\) | 9.41430 | − | 16.3061i | 0.311397 | − | 0.539356i | ||||
\(915\) | 1.50180 | + | 1.09348i | 0.0496480 | + | 0.0361493i | ||||
\(916\) | −7.85516 | − | 13.6055i | −0.259542 | − | 0.449540i | ||||
\(917\) | −2.52764 | − | 9.43330i | −0.0834702 | − | 0.311515i | ||||
\(918\) | 0.715345 | − | 2.66970i | 0.0236099 | − | 0.0881134i | ||||
\(919\) | − | 28.9351i | − | 0.954481i | −0.878773 | − | 0.477241i | \(-0.841637\pi\) | ||
0.878773 | − | 0.477241i | \(-0.158363\pi\) | |||||||
\(920\) | −2.33158 | + | 1.88411i | −0.0768698 | + | 0.0621173i | ||||
\(921\) | −7.84202 | − | 13.5828i | −0.258403 | − | 0.447567i | ||||
\(922\) | 8.03368 | − | 29.9821i | 0.264575 | − | 0.987408i | ||||
\(923\) | 6.69444 | + | 6.69444i | 0.220350 | + | 0.220350i | ||||
\(924\) | −1.09405 | −0.0359916 | ||||||||
\(925\) | −8.44771 | − | 4.32620i | −0.277759 | − | 0.142245i | ||||
\(926\) | −29.6617 | − | 17.1252i | −0.974743 | − | 0.562768i | ||||
\(927\) | −4.03532 | + | 15.0600i | −0.132537 | + | 0.494636i | ||||
\(928\) | −5.51711 | + | 1.47830i | −0.181108 | + | 0.0485277i | ||||
\(929\) | −23.5550 | − | 13.5995i | −0.772815 | − | 0.446185i | 0.0610631 | − | 0.998134i | \(-0.480551\pi\) |
−0.833878 | + | 0.551949i | \(0.813884\pi\) | |||||||
\(930\) | −6.97197 | − | 8.62777i | −0.228620 | − | 0.282916i | ||||
\(931\) | 14.6426 | − | 24.4973i | 0.479893 | − | 0.802866i | ||||
\(932\) | −8.49254 | + | 8.49254i | −0.278182 | + | 0.278182i | ||||
\(933\) | 7.21352 | + | 26.9212i | 0.236160 | + | 0.881361i | ||||
\(934\) | −17.5341 | + | 30.3699i | −0.573733 | + | 0.993734i | ||||
\(935\) | −9.18662 | + | 4.07885i | −0.300434 | + | 0.133393i | ||||
\(936\) | −0.625852 | + | 1.08401i | −0.0204566 | + | 0.0354319i | ||||
\(937\) | 8.92723 | + | 2.39204i | 0.291640 | + | 0.0781446i | 0.401673 | − | 0.915783i | \(-0.368429\pi\) |
−0.110033 | + | 0.993928i | \(0.535096\pi\) | |||||||
\(938\) | 2.27713 | + | 2.27713i | 0.0743508 | + | 0.0743508i | ||||
\(939\) | 27.5134 | 0.897867 | ||||||||
\(940\) | −9.48408 | − | 21.3606i | −0.309337 | − | 0.696706i | ||||
\(941\) | −16.4959 | + | 9.52393i | −0.537752 | + | 0.310471i | −0.744167 | − | 0.667993i | \(-0.767154\pi\) |
0.206415 | + | 0.978464i | \(0.433820\pi\) | |||||||
\(942\) | 4.40822 | − | 4.40822i | 0.143627 | − | 0.143627i | ||||
\(943\) | 3.41510 | − | 3.41510i | 0.111211 | − | 0.111211i | ||||
\(944\) | −3.21653 | − | 5.57120i | −0.104689 | − | 0.181327i | ||||
\(945\) | −0.233780 | − | 1.48590i | −0.00760485 | − | 0.0483363i | ||||
\(946\) | 5.86605 | − | 3.38676i | 0.190722 | − | 0.110113i | ||||
\(947\) | −12.3132 | − | 45.9535i | −0.400125 | − | 1.49329i | −0.812873 | − | 0.582441i | \(-0.802098\pi\) |
0.412748 | − | 0.910845i | \(-0.364569\pi\) | |||||||
\(948\) | 6.77853 | − | 1.81630i | 0.220156 | − | 0.0589907i | ||||
\(949\) | 14.9935 | 0.486708 | ||||||||
\(950\) | 21.7810 | − | 0.766136i | 0.706670 | − | 0.0248567i | ||||
\(951\) | −8.95311 | −0.290325 | ||||||||
\(952\) | −1.79588 | + | 0.481204i | −0.0582048 | + | 0.0155959i | ||||
\(953\) | 0.864885 | + | 3.22780i | 0.0280164 | + | 0.104559i | 0.978518 | − | 0.206160i | \(-0.0660969\pi\) |
−0.950502 | + | 0.310719i | \(0.899430\pi\) | |||||||
\(954\) | −0.994803 | + | 0.574350i | −0.0322079 | + | 0.0185953i | ||||
\(955\) | 1.54545 | + | 9.82284i | 0.0500095 | + | 0.317860i | ||||
\(956\) | −1.81412 | − | 3.14214i | −0.0586727 | − | 0.101624i | ||||
\(957\) | −6.56864 | + | 6.56864i | −0.212334 | + | 0.212334i | ||||
\(958\) | 2.83175 | − | 2.83175i | 0.0914896 | − | 0.0914896i | ||||
\(959\) | 3.48544 | − | 2.01232i | 0.112551 | − | 0.0649811i | ||||
\(960\) | 0.907393 | + | 2.04368i | 0.0292860 | + | 0.0659596i | ||||
\(961\) | 6.39065 | 0.206150 | ||||||||
\(962\) | 1.68008 | + | 1.68008i | 0.0541680 | + | 0.0541680i | ||||
\(963\) | −15.2180 | − | 4.07766i | −0.490394 | − | 0.131401i | ||||
\(964\) | −12.9487 | + | 22.4277i | −0.417048 | + | 0.722348i | ||||
\(965\) | −13.2424 | + | 5.87963i | −0.426289 | + | 0.189272i | ||||
\(966\) | −0.450905 | + | 0.780991i | −0.0145076 | + | 0.0251280i | ||||
\(967\) | 0.358700 | + | 1.33869i | 0.0115350 | + | 0.0430493i | 0.971453 | − | 0.237230i | \(-0.0762395\pi\) |
−0.959918 | + | 0.280279i | \(0.909573\pi\) | |||||||
\(968\) | −5.90779 | + | 5.90779i | −0.189884 | + | 0.189884i | ||||
\(969\) | 12.0461 | + | 0.182467i | 0.386976 | + | 0.00586169i | ||||
\(970\) | 9.94110 | + | 12.3020i | 0.319190 | + | 0.394995i | ||||
\(971\) | −36.2221 | − | 20.9128i | −1.16242 | − | 0.671125i | −0.210539 | − | 0.977585i | \(-0.567522\pi\) |
−0.951883 | + | 0.306461i | \(0.900855\pi\) | |||||||
\(972\) | −0.965926 | + | 0.258819i | −0.0309821 | + | 0.00830162i | ||||
\(973\) | 0.384169 | − | 1.43374i | 0.0123159 | − | 0.0459636i | ||||
\(974\) | 7.73399 | + | 4.46522i | 0.247813 | + | 0.143075i | ||||
\(975\) | 1.92176 | + | 5.95617i | 0.0615456 | + | 0.190750i | ||||
\(976\) | −0.830795 | −0.0265931 | ||||||||
\(977\) | −2.71196 | − | 2.71196i | −0.0867634 | − | 0.0867634i | 0.662393 | − | 0.749156i | \(-0.269541\pi\) |
−0.749156 | + | 0.662393i | \(0.769541\pi\) | |||||||
\(978\) | 1.57027 | − | 5.86034i | 0.0502118 | − | 0.187393i | ||||
\(979\) | −0.556839 | − | 0.964473i | −0.0177967 | − | 0.0308247i | ||||
\(980\) | 11.3874 | − | 9.20196i | 0.363756 | − | 0.293946i | ||||
\(981\) | − | 17.1054i | − | 0.546133i | ||||||
\(982\) | −8.24886 | + | 30.7852i | −0.263232 | + | 0.982394i | ||||
\(983\) | −9.47894 | − | 35.3759i | −0.302331 | − | 1.12832i | −0.935218 | − | 0.354072i | \(-0.884797\pi\) |
0.632887 | − | 0.774244i | \(-0.281870\pi\) | |||||||
\(984\) | −1.80130 | − | 3.11995i | −0.0574235 | − | 0.0994604i | ||||
\(985\) | 31.5493 | + | 22.9715i | 1.00525 | + | 0.731932i | ||||
\(986\) | −7.89327 | + | 13.6715i | −0.251373 | + | 0.435391i | ||||
\(987\) | −4.97163 | − | 4.97163i | −0.158249 | − | 0.158249i | ||||
\(988\) | −5.24815 | − | 1.49179i | −0.166966 | − | 0.0474601i | ||||
\(989\) | − | 5.58333i | − | 0.177540i | ||||||
\(990\) | 2.93996 | + | 2.14062i | 0.0934380 | + | 0.0680334i | ||||
\(991\) | −13.3849 | − | 7.72776i | −0.425185 | − | 0.245480i | 0.272109 | − | 0.962267i | \(-0.412279\pi\) |
−0.697293 | + | 0.716786i | \(0.745612\pi\) | |||||||
\(992\) | 4.79175 | + | 1.28394i | 0.152138 | + | 0.0407653i | ||||
\(993\) | −11.4953 | + | 3.08016i | −0.364793 | + | 0.0977459i | ||||
\(994\) | 4.40628 | − | 2.54397i | 0.139759 | − | 0.0806897i | ||||
\(995\) | 7.67277 | + | 9.49500i | 0.243243 | + | 0.301012i | ||||
\(996\) | − | 6.59328i | − | 0.208916i | ||||||
\(997\) | 30.8494 | + | 8.26607i | 0.977010 | + | 0.261789i | 0.711785 | − | 0.702397i | \(-0.247887\pi\) |
0.265225 | + | 0.964186i | \(0.414554\pi\) | |||||||
\(998\) | 34.1579 | + | 9.15258i | 1.08125 | + | 0.289720i | ||||
\(999\) | 1.89821i | 0.0600566i |
(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 | 570.2.x.a.103.9 | ✓ | 40 | |
5.2 | odd | 4 | inner | 570.2.x.a.217.10 | yes | 40 | |
19.12 | odd | 6 | inner | 570.2.x.a.373.10 | yes | 40 | |
95.12 | even | 12 | inner | 570.2.x.a.487.9 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.x.a.103.9 | ✓ | 40 | 1.1 | even | 1 | trivial | |
570.2.x.a.217.10 | yes | 40 | 5.2 | odd | 4 | inner | |
570.2.x.a.373.10 | yes | 40 | 19.12 | odd | 6 | inner | |
570.2.x.a.487.9 | yes | 40 | 95.12 | even | 12 | inner |