Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,2,Mod(17,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.l (of order \(20\), degree \(8\), 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: | \(1.19775603032\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 23.7 | ||
Character | \(\chi\) | \(=\) | 150.23 |
Dual form | 150.2.l.a.137.7 |
$q$-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 \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{11}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.987688 | + | 0.156434i | 0.698401 | + | 0.110616i | ||||
\(3\) | −0.428879 | − | 1.67811i | −0.247614 | − | 0.968859i | ||||
\(4\) | 0.951057 | + | 0.309017i | 0.475528 | + | 0.154508i | ||||
\(5\) | 0.334535 | + | 2.21090i | 0.149609 | + | 0.988745i | ||||
\(6\) | −0.161084 | − | 1.72454i | −0.0657624 | − | 0.704042i | ||||
\(7\) | 2.78015 | − | 2.78015i | 1.05080 | − | 1.05080i | 0.0521581 | − | 0.998639i | \(-0.483390\pi\) |
0.998639 | − | 0.0521581i | \(-0.0166100\pi\) | |||||||
\(8\) | 0.891007 | + | 0.453990i | 0.315018 | + | 0.160510i | ||||
\(9\) | −2.63213 | + | 1.43942i | −0.877375 | + | 0.479805i | ||||
\(10\) | −0.0154450 | + | 2.23601i | −0.00488414 | + | 0.707090i | ||||
\(11\) | −2.08133 | − | 2.86470i | −0.627544 | − | 0.863740i | 0.370331 | − | 0.928900i | \(-0.379244\pi\) |
−0.997875 | + | 0.0651600i | \(0.979244\pi\) | |||||||
\(12\) | 0.110677 | − | 1.72851i | 0.0319497 | − | 0.498978i | ||||
\(13\) | 0.331962 | + | 2.09592i | 0.0920696 | + | 0.581304i | 0.989989 | + | 0.141144i | \(0.0450782\pi\) |
−0.897919 | + | 0.440160i | \(0.854922\pi\) | |||||||
\(14\) | 3.18083 | − | 2.31101i | 0.850113 | − | 0.617643i | ||||
\(15\) | 3.56667 | − | 1.50960i | 0.920910 | − | 0.389776i | ||||
\(16\) | 0.809017 | + | 0.587785i | 0.202254 | + | 0.146946i | ||||
\(17\) | −0.476073 | + | 0.934346i | −0.115465 | + | 0.226612i | −0.941505 | − | 0.336999i | \(-0.890588\pi\) |
0.826040 | + | 0.563611i | \(0.190588\pi\) | |||||||
\(18\) | −2.82489 | + | 1.00994i | −0.665834 | + | 0.238045i | ||||
\(19\) | −4.71987 | + | 1.53358i | −1.08281 | + | 0.351827i | −0.795465 | − | 0.605999i | \(-0.792774\pi\) |
−0.287348 | + | 0.957826i | \(0.592774\pi\) | |||||||
\(20\) | −0.365045 | + | 2.20607i | −0.0816265 | + | 0.493292i | ||||
\(21\) | −5.85775 | − | 3.47305i | −1.27827 | − | 0.757882i | ||||
\(22\) | −1.60756 | − | 3.15502i | −0.342734 | − | 0.672653i | ||||
\(23\) | −1.22065 | + | 7.70688i | −0.254523 | + | 1.60700i | 0.447124 | + | 0.894472i | \(0.352448\pi\) |
−0.701647 | + | 0.712524i | \(0.747552\pi\) | |||||||
\(24\) | 0.379713 | − | 1.68992i | 0.0775086 | − | 0.344953i | ||||
\(25\) | −4.77617 | + | 1.47925i | −0.955235 | + | 0.295850i | ||||
\(26\) | 2.12205i | 0.416168i | ||||||||
\(27\) | 3.54437 | + | 3.79967i | 0.682114 | + | 0.731246i | ||||
\(28\) | 3.50319 | − | 1.78496i | 0.662041 | − | 0.337327i | ||||
\(29\) | 0.858514 | − | 2.64223i | 0.159422 | − | 0.490650i | −0.839160 | − | 0.543885i | \(-0.816953\pi\) |
0.998582 | + | 0.0532341i | \(0.0169530\pi\) | |||||||
\(30\) | 3.75891 | − | 0.933062i | 0.686280 | − | 0.170353i | ||||
\(31\) | 0.458925 | + | 1.41243i | 0.0824253 | + | 0.253679i | 0.983773 | − | 0.179417i | \(-0.0574211\pi\) |
−0.901348 | + | 0.433096i | \(0.857421\pi\) | |||||||
\(32\) | 0.707107 | + | 0.707107i | 0.125000 | + | 0.125000i | ||||
\(33\) | −3.91465 | + | 4.72131i | −0.681454 | + | 0.821875i | ||||
\(34\) | −0.616376 | + | 0.848368i | −0.105708 | + | 0.145494i | ||||
\(35\) | 7.07669 | + | 5.21658i | 1.19618 | + | 0.881762i | ||||
\(36\) | −2.94810 | + | 0.555594i | −0.491351 | + | 0.0925991i | ||||
\(37\) | −1.07161 | + | 0.169727i | −0.176172 | + | 0.0279030i | −0.243897 | − | 0.969801i | \(-0.578426\pi\) |
0.0677249 | + | 0.997704i | \(0.478426\pi\) | |||||||
\(38\) | −4.90167 | + | 0.776348i | −0.795156 | + | 0.125940i | ||||
\(39\) | 3.37482 | − | 1.45597i | 0.540404 | − | 0.233141i | ||||
\(40\) | −0.705656 | + | 2.12180i | −0.111574 | + | 0.335487i | ||||
\(41\) | 0.691749 | − | 0.952111i | 0.108033 | − | 0.148695i | −0.751577 | − | 0.659645i | \(-0.770707\pi\) |
0.859610 | + | 0.510951i | \(0.170707\pi\) | |||||||
\(42\) | −5.24232 | − | 4.34665i | −0.808908 | − | 0.670702i | ||||
\(43\) | −8.25027 | − | 8.25027i | −1.25815 | − | 1.25815i | −0.951973 | − | 0.306181i | \(-0.900949\pi\) |
−0.306181 | − | 0.951973i | \(-0.599051\pi\) | |||||||
\(44\) | −1.09422 | − | 3.36766i | −0.164960 | − | 0.507694i | ||||
\(45\) | −4.06294 | − | 5.33784i | −0.605668 | − | 0.795717i | ||||
\(46\) | −2.41124 | + | 7.42105i | −0.355519 | + | 1.09417i | ||||
\(47\) | 10.2948 | − | 5.24545i | 1.50165 | − | 0.765127i | 0.506380 | − | 0.862311i | \(-0.330983\pi\) |
0.995266 | + | 0.0971836i | \(0.0309834\pi\) | |||||||
\(48\) | 0.639399 | − | 1.60971i | 0.0922893 | − | 0.232342i | ||||
\(49\) | − | 8.45844i | − | 1.20835i | ||||||
\(50\) | −4.94878 | + | 0.713878i | −0.699863 | + | 0.100958i | ||||
\(51\) | 1.77212 | + | 0.398183i | 0.248146 | + | 0.0557567i | ||||
\(52\) | −0.331962 | + | 2.09592i | −0.0460348 | + | 0.290652i | ||||
\(53\) | −1.93475 | − | 3.79716i | −0.265759 | − | 0.521581i | 0.719107 | − | 0.694899i | \(-0.244551\pi\) |
−0.984866 | + | 0.173318i | \(0.944551\pi\) | |||||||
\(54\) | 2.90633 | + | 4.30735i | 0.395501 | + | 0.586156i | ||||
\(55\) | 5.63730 | − | 5.55995i | 0.760133 | − | 0.749704i | ||||
\(56\) | 3.73929 | − | 1.21497i | 0.499684 | − | 0.162357i | ||||
\(57\) | 4.59778 | + | 7.26276i | 0.608990 | + | 0.961976i | ||||
\(58\) | 1.26128 | − | 2.47540i | 0.165614 | − | 0.325036i | ||||
\(59\) | −5.11067 | − | 3.71312i | −0.665353 | − | 0.483407i | 0.203113 | − | 0.979155i | \(-0.434894\pi\) |
−0.868466 | + | 0.495748i | \(0.834894\pi\) | |||||||
\(60\) | 3.85859 | − | 0.333552i | 0.498142 | − | 0.0430613i | ||||
\(61\) | 1.09310 | − | 0.794185i | 0.139957 | − | 0.101685i | −0.515604 | − | 0.856827i | \(-0.672432\pi\) |
0.655561 | + | 0.755142i | \(0.272432\pi\) | |||||||
\(62\) | 0.232323 | + | 1.46683i | 0.0295050 | + | 0.186287i | ||||
\(63\) | −3.31591 | + | 11.3195i | −0.417765 | + | 1.42612i | ||||
\(64\) | 0.587785 | + | 0.809017i | 0.0734732 | + | 0.101127i | ||||
\(65\) | −4.52283 | + | 1.43509i | −0.560988 | + | 0.178001i | ||||
\(66\) | −4.60503 | + | 4.05080i | −0.566840 | + | 0.498619i | ||||
\(67\) | 8.29150 | + | 4.22473i | 1.01297 | + | 0.516133i | 0.879993 | − | 0.474987i | \(-0.157547\pi\) |
0.132974 | + | 0.991119i | \(0.457547\pi\) | |||||||
\(68\) | −0.741501 | + | 0.741501i | −0.0899202 | + | 0.0899202i | ||||
\(69\) | 13.4565 | − | 1.25693i | 1.61998 | − | 0.151317i | ||||
\(70\) | 6.17351 | + | 6.25939i | 0.737876 | + | 0.748140i | ||||
\(71\) | 2.47790 | + | 0.805120i | 0.294073 | + | 0.0955501i | 0.452338 | − | 0.891847i | \(-0.350590\pi\) |
−0.158265 | + | 0.987397i | \(0.550590\pi\) | |||||||
\(72\) | −2.99872 | + | 0.0875690i | −0.353403 | + | 0.0103201i | ||||
\(73\) | 8.82492 | + | 1.39773i | 1.03288 | + | 0.163592i | 0.649785 | − | 0.760118i | \(-0.274859\pi\) |
0.383093 | + | 0.923710i | \(0.374859\pi\) | |||||||
\(74\) | −1.08497 | −0.126126 | ||||||||
\(75\) | 4.53075 | + | 7.38054i | 0.523165 | + | 0.852231i | ||||
\(76\) | −4.96277 | −0.569269 | ||||||||
\(77\) | −13.7507 | − | 2.17789i | −1.56704 | − | 0.248194i | ||||
\(78\) | 3.56104 | − | 0.910103i | 0.403208 | − | 0.103049i | ||||
\(79\) | −14.4405 | − | 4.69199i | −1.62468 | − | 0.527891i | −0.651641 | − | 0.758528i | \(-0.725919\pi\) |
−0.973040 | + | 0.230637i | \(0.925919\pi\) | |||||||
\(80\) | −1.02889 | + | 1.98529i | −0.115034 | + | 0.221962i | ||||
\(81\) | 4.85616 | − | 7.57744i | 0.539574 | − | 0.841938i | ||||
\(82\) | 0.832175 | − | 0.832175i | 0.0918984 | − | 0.0918984i | ||||
\(83\) | 9.56823 | + | 4.87526i | 1.05025 | + | 0.535129i | 0.891890 | − | 0.452252i | \(-0.149379\pi\) |
0.158360 | + | 0.987381i | \(0.449379\pi\) | |||||||
\(84\) | −4.49782 | − | 5.11321i | −0.490752 | − | 0.557897i | ||||
\(85\) | −2.22501 | − | 0.739979i | −0.241336 | − | 0.0802620i | ||||
\(86\) | −6.85807 | − | 9.43932i | −0.739525 | − | 1.01787i | ||||
\(87\) | −4.80216 | − | 0.307484i | −0.514846 | − | 0.0329657i | ||||
\(88\) | −0.553929 | − | 3.49737i | −0.0590490 | − | 0.372821i | ||||
\(89\) | 2.14121 | − | 1.55568i | 0.226968 | − | 0.164902i | −0.468490 | − | 0.883469i | \(-0.655202\pi\) |
0.695458 | + | 0.718567i | \(0.255202\pi\) | |||||||
\(90\) | −3.17790 | − | 5.90770i | −0.334980 | − | 0.622726i | ||||
\(91\) | 6.74988 | + | 4.90407i | 0.707579 | + | 0.514086i | ||||
\(92\) | −3.54247 | + | 6.95248i | −0.369328 | + | 0.724846i | ||||
\(93\) | 2.17339 | − | 1.37589i | 0.225370 | − | 0.142673i | ||||
\(94\) | 10.9886 | − | 3.57041i | 1.13339 | − | 0.368260i | ||||
\(95\) | −4.96956 | − | 9.92214i | −0.509866 | − | 1.01799i | ||||
\(96\) | 0.883341 | − | 1.48987i | 0.0901557 | − | 0.152059i | ||||
\(97\) | 7.23583 | + | 14.2011i | 0.734687 | + | 1.44190i | 0.890909 | + | 0.454182i | \(0.150068\pi\) |
−0.156222 | + | 0.987722i | \(0.549932\pi\) | |||||||
\(98\) | 1.32319 | − | 8.35430i | 0.133663 | − | 0.843912i | ||||
\(99\) | 9.60181 | + | 4.54436i | 0.965018 | + | 0.456725i | ||||
\(100\) | −4.99952 | − | 0.0690705i | −0.499952 | − | 0.00690705i | ||||
\(101\) | 2.78509i | 0.277127i | 0.990354 | + | 0.138564i | \(0.0442485\pi\) | ||||
−0.990354 | + | 0.138564i | \(0.955751\pi\) | |||||||
\(102\) | 1.68801 | + | 0.670500i | 0.167138 | + | 0.0663894i | ||||
\(103\) | 9.98017 | − | 5.08515i | 0.983376 | − | 0.501055i | 0.113081 | − | 0.993586i | \(-0.463928\pi\) |
0.870295 | + | 0.492531i | \(0.163928\pi\) | |||||||
\(104\) | −0.655749 | + | 2.01819i | −0.0643015 | + | 0.197900i | ||||
\(105\) | 5.71896 | − | 14.1128i | 0.558113 | − | 1.37726i | ||||
\(106\) | −1.31692 | − | 4.05308i | −0.127911 | − | 0.393670i | ||||
\(107\) | −3.58302 | − | 3.58302i | −0.346384 | − | 0.346384i | 0.512377 | − | 0.858761i | \(-0.328765\pi\) |
−0.858761 | + | 0.512377i | \(0.828765\pi\) | |||||||
\(108\) | 2.19673 | + | 4.70897i | 0.211381 | + | 0.453121i | ||||
\(109\) | −5.92254 | + | 8.15168i | −0.567277 | + | 0.780789i | −0.992229 | − | 0.124427i | \(-0.960291\pi\) |
0.424952 | + | 0.905216i | \(0.360291\pi\) | |||||||
\(110\) | 6.43766 | − | 4.60963i | 0.613807 | − | 0.439511i | ||||
\(111\) | 0.744415 | + | 1.72550i | 0.0706567 | + | 0.163777i | ||||
\(112\) | 3.88332 | − | 0.615057i | 0.366939 | − | 0.0581174i | ||||
\(113\) | 3.71655 | − | 0.588643i | 0.349623 | − | 0.0553749i | 0.0208469 | − | 0.999783i | \(-0.493364\pi\) |
0.328776 | + | 0.944408i | \(0.393364\pi\) | |||||||
\(114\) | 3.40502 | + | 7.89259i | 0.318910 | + | 0.739209i | ||||
\(115\) | −17.4475 | − | 0.120517i | −1.62699 | − | 0.0112382i | ||||
\(116\) | 1.63299 | − | 2.24762i | 0.151619 | − | 0.208686i | ||||
\(117\) | −3.89067 | − | 5.03890i | −0.359692 | − | 0.465846i | ||||
\(118\) | −4.46689 | − | 4.46689i | −0.411211 | − | 0.411211i | ||||
\(119\) | 1.27407 | + | 3.92117i | 0.116793 | + | 0.359453i | ||||
\(120\) | 3.86327 | + | 0.274172i | 0.352666 | + | 0.0250284i | ||||
\(121\) | −0.475402 | + | 1.46314i | −0.0432184 | + | 0.133012i | ||||
\(122\) | 1.20388 | − | 0.613408i | 0.108994 | − | 0.0555354i | ||||
\(123\) | −1.89443 | − | 0.752492i | −0.170815 | − | 0.0678499i | ||||
\(124\) | 1.48511i | 0.133367i | ||||||||
\(125\) | −4.86827 | − | 10.0648i | −0.435431 | − | 0.900222i | ||||
\(126\) | −5.04584 | + | 10.6614i | −0.449519 | + | 0.949793i | ||||
\(127\) | 2.99916 | − | 18.9360i | 0.266133 | − | 1.68030i | −0.386241 | − | 0.922398i | \(-0.626227\pi\) |
0.652373 | − | 0.757898i | \(-0.273773\pi\) | |||||||
\(128\) | 0.453990 | + | 0.891007i | 0.0401275 | + | 0.0787546i | ||||
\(129\) | −10.3065 | + | 17.3833i | −0.907438 | + | 1.53051i | ||||
\(130\) | −4.69164 | + | 0.709899i | −0.411484 | + | 0.0622623i | ||||
\(131\) | −11.4171 | + | 3.70965i | −0.997519 | + | 0.324113i | −0.761874 | − | 0.647726i | \(-0.775720\pi\) |
−0.235645 | + | 0.971839i | \(0.575720\pi\) | |||||||
\(132\) | −5.18202 | + | 3.28054i | −0.451037 | + | 0.285534i | ||||
\(133\) | −8.85836 | + | 17.3855i | −0.768118 | + | 1.50752i | ||||
\(134\) | 7.52852 | + | 5.46979i | 0.650365 | + | 0.472518i | ||||
\(135\) | −7.21498 | + | 9.10737i | −0.620966 | + | 0.783837i | ||||
\(136\) | −0.848368 | + | 0.616376i | −0.0727470 | + | 0.0528538i | ||||
\(137\) | −1.31496 | − | 8.30230i | −0.112344 | − | 0.709314i | −0.977989 | − | 0.208655i | \(-0.933091\pi\) |
0.865645 | − | 0.500658i | \(-0.166909\pi\) | |||||||
\(138\) | 13.4875 | + | 0.863606i | 1.14813 | + | 0.0735151i | ||||
\(139\) | 1.56608 | + | 2.15552i | 0.132833 | + | 0.182829i | 0.870252 | − | 0.492607i | \(-0.163956\pi\) |
−0.737419 | + | 0.675435i | \(0.763956\pi\) | |||||||
\(140\) | 5.11832 | + | 7.14808i | 0.432577 | + | 0.604123i | ||||
\(141\) | −13.2177 | − | 15.0261i | −1.11313 | − | 1.26543i | ||||
\(142\) | 2.32145 | + | 1.18284i | 0.194812 | + | 0.0992615i | ||||
\(143\) | 5.31327 | − | 5.31327i | 0.444318 | − | 0.444318i | ||||
\(144\) | −2.97550 | − | 0.382612i | −0.247958 | − | 0.0318844i | ||||
\(145\) | 6.12892 | + | 1.01417i | 0.508979 | + | 0.0842222i | ||||
\(146\) | 8.49762 | + | 2.76104i | 0.703268 | + | 0.228506i | ||||
\(147\) | −14.1942 | + | 3.62765i | −1.17072 | + | 0.299203i | ||||
\(148\) | −1.07161 | − | 0.169727i | −0.0880862 | − | 0.0139515i | ||||
\(149\) | −15.1777 | −1.24340 | −0.621701 | − | 0.783254i | \(-0.713558\pi\) | ||||
−0.621701 | + | 0.783254i | \(0.713558\pi\) | |||||||
\(150\) | 3.32039 | + | 7.99844i | 0.271109 | + | 0.653070i | ||||
\(151\) | 13.0979 | 1.06590 | 0.532948 | − | 0.846148i | \(-0.321084\pi\) | ||||
0.532948 | + | 0.846148i | \(0.321084\pi\) | |||||||
\(152\) | −4.90167 | − | 0.776348i | −0.397578 | − | 0.0629701i | ||||
\(153\) | −0.0918285 | − | 3.14458i | −0.00742389 | − | 0.254224i | ||||
\(154\) | −13.2407 | − | 4.30216i | −1.06697 | − | 0.346678i | ||||
\(155\) | −2.96921 | + | 1.48714i | −0.238492 | + | 0.119450i | ||||
\(156\) | 3.65957 | − | 0.341829i | 0.293000 | − | 0.0273682i | ||||
\(157\) | −6.13050 | + | 6.13050i | −0.489267 | + | 0.489267i | −0.908075 | − | 0.418808i | \(-0.862448\pi\) |
0.418808 | + | 0.908075i | \(0.362448\pi\) | |||||||
\(158\) | −13.5287 | − | 6.89322i | −1.07629 | − | 0.548395i | ||||
\(159\) | −5.54230 | + | 4.87526i | −0.439533 | + | 0.386633i | ||||
\(160\) | −1.32679 | + | 1.79990i | −0.104892 | + | 0.142294i | ||||
\(161\) | 18.0327 | + | 24.8199i | 1.42117 | + | 1.95608i | ||||
\(162\) | 5.98175 | − | 6.72448i | 0.469971 | − | 0.528325i | ||||
\(163\) | −0.771116 | − | 4.86864i | −0.0603985 | − | 0.381341i | −0.999309 | − | 0.0371787i | \(-0.988163\pi\) |
0.938910 | − | 0.344162i | \(-0.111837\pi\) | |||||||
\(164\) | 0.952111 | − | 0.691749i | 0.0743473 | − | 0.0540165i | ||||
\(165\) | −11.7479 | − | 7.07547i | −0.914576 | − | 0.550825i | ||||
\(166\) | 8.68777 | + | 6.31204i | 0.674302 | + | 0.489909i | ||||
\(167\) | −3.73760 | + | 7.33545i | −0.289224 | + | 0.567634i | −0.989207 | − | 0.146525i | \(-0.953191\pi\) |
0.699983 | + | 0.714160i | \(0.253191\pi\) | |||||||
\(168\) | −3.64256 | − | 5.75388i | −0.281030 | − | 0.443921i | ||||
\(169\) | 8.08104 | − | 2.62569i | 0.621619 | − | 0.201976i | ||||
\(170\) | −2.08186 | − | 1.07894i | −0.159671 | − | 0.0827507i | ||||
\(171\) | 10.2158 | − | 10.8304i | 0.781225 | − | 0.828224i | ||||
\(172\) | −5.29700 | − | 10.3959i | −0.403892 | − | 0.792684i | ||||
\(173\) | 0.713712 | − | 4.50620i | 0.0542625 | − | 0.342600i | −0.945589 | − | 0.325364i | \(-0.894513\pi\) |
0.999851 | − | 0.0172364i | \(-0.00548677\pi\) | |||||||
\(174\) | −4.69494 | − | 1.05492i | −0.355923 | − | 0.0799734i | ||||
\(175\) | −9.16594 | + | 17.3910i | −0.692880 | + | 1.31464i | ||||
\(176\) | − | 3.54097i | − | 0.266910i | ||||||
\(177\) | −4.03918 | + | 10.1688i | −0.303603 | + | 0.764332i | ||||
\(178\) | 2.35821 | − | 1.20157i | 0.176755 | − | 0.0900614i | ||||
\(179\) | −3.51637 | + | 10.8223i | −0.262826 | + | 0.808894i | 0.729361 | + | 0.684129i | \(0.239818\pi\) |
−0.992186 | + | 0.124765i | \(0.960182\pi\) | |||||||
\(180\) | −2.21461 | − | 6.33210i | −0.165067 | − | 0.471967i | ||||
\(181\) | 2.01769 | + | 6.20982i | 0.149974 | + | 0.461572i | 0.997617 | − | 0.0689945i | \(-0.0219791\pi\) |
−0.847643 | + | 0.530567i | \(0.821979\pi\) | |||||||
\(182\) | 5.89961 | + | 5.89961i | 0.437308 | + | 0.437308i | ||||
\(183\) | −1.80154 | − | 1.49374i | −0.133174 | − | 0.110420i | ||||
\(184\) | −4.58646 | + | 6.31272i | −0.338118 | + | 0.465380i | ||||
\(185\) | −0.733743 | − | 2.31246i | −0.0539458 | − | 0.170015i | ||||
\(186\) | 2.36186 | − | 1.01896i | 0.173180 | − | 0.0747135i | ||||
\(187\) | 3.66749 | − | 0.580873i | 0.268193 | − | 0.0424776i | ||||
\(188\) | 11.4118 | − | 1.80746i | 0.832294 | − | 0.131822i | ||||
\(189\) | 20.4175 | + | 0.709775i | 1.48515 | + | 0.0516285i | ||||
\(190\) | −3.35621 | − | 10.5774i | −0.243485 | − | 0.767365i | ||||
\(191\) | 0.349868 | − | 0.481552i | 0.0253155 | − | 0.0348439i | −0.796172 | − | 0.605071i | \(-0.793145\pi\) |
0.821487 | + | 0.570227i | \(0.193145\pi\) | |||||||
\(192\) | 1.10553 | − | 1.33334i | 0.0797850 | − | 0.0962256i | ||||
\(193\) | −15.5790 | − | 15.5790i | −1.12140 | − | 1.12140i | −0.991532 | − | 0.129866i | \(-0.958545\pi\) |
−0.129866 | − | 0.991532i | \(-0.541455\pi\) | |||||||
\(194\) | 4.92520 | + | 15.1582i | 0.353609 | + | 1.08830i | ||||
\(195\) | 4.34800 | + | 6.97433i | 0.311366 | + | 0.499442i | ||||
\(196\) | 2.61380 | − | 8.04445i | 0.186700 | − | 0.574604i | ||||
\(197\) | −2.51349 | + | 1.28069i | −0.179079 | + | 0.0912453i | −0.541232 | − | 0.840873i | \(-0.682042\pi\) |
0.362153 | + | 0.932119i | \(0.382042\pi\) | |||||||
\(198\) | 8.77270 | + | 5.99046i | 0.623449 | + | 0.425724i | ||||
\(199\) | − | 10.4829i | − | 0.743113i | −0.928410 | − | 0.371556i | \(-0.878824\pi\) | ||
0.928410 | − | 0.371556i | \(-0.121176\pi\) | |||||||
\(200\) | −4.92717 | − | 0.850318i | −0.348403 | − | 0.0601266i | ||||
\(201\) | 3.53352 | − | 15.7260i | 0.249235 | − | 1.10922i | ||||
\(202\) | −0.435685 | + | 2.75080i | −0.0306547 | + | 0.193546i | ||||
\(203\) | −4.95900 | − | 9.73259i | −0.348054 | − | 0.683094i | ||||
\(204\) | 1.56234 | + | 0.926308i | 0.109385 | + | 0.0648545i | ||||
\(205\) | 2.33644 | + | 1.21087i | 0.163184 | + | 0.0845711i | ||||
\(206\) | 10.6528 | − | 3.46130i | 0.742215 | − | 0.241160i | ||||
\(207\) | −7.88050 | − | 22.0425i | −0.547733 | − | 1.53206i | ||||
\(208\) | −0.963390 | + | 1.89076i | −0.0667991 | + | 0.131101i | ||||
\(209\) | 14.2168 | + | 10.3291i | 0.983400 | + | 0.714482i | ||||
\(210\) | 7.85627 | − | 13.0444i | 0.542134 | − | 0.900147i | ||||
\(211\) | 1.70957 | − | 1.24207i | 0.117692 | − | 0.0855079i | −0.527382 | − | 0.849628i | \(-0.676827\pi\) |
0.645074 | + | 0.764120i | \(0.276827\pi\) | |||||||
\(212\) | −0.666670 | − | 4.20919i | −0.0457871 | − | 0.289088i | ||||
\(213\) | 0.288360 | − | 4.50350i | 0.0197581 | − | 0.308575i | ||||
\(214\) | −2.97840 | − | 4.09941i | −0.203599 | − | 0.280230i | ||||
\(215\) | 15.4805 | − | 21.0005i | 1.05576 | − | 1.43222i | ||||
\(216\) | 1.43304 | + | 4.99464i | 0.0975061 | + | 0.339842i | ||||
\(217\) | 5.20263 | + | 2.65087i | 0.353177 | + | 0.179953i | ||||
\(218\) | −7.12483 | + | 7.12483i | −0.482554 | + | 0.482554i | ||||
\(219\) | −1.43928 | − | 15.4087i | −0.0972573 | − | 1.04122i | ||||
\(220\) | 7.07951 | − | 3.54581i | 0.477300 | − | 0.239058i | ||||
\(221\) | −2.11635 | − | 0.687645i | −0.142361 | − | 0.0462560i | ||||
\(222\) | 0.465322 | + | 1.82071i | 0.0312304 | + | 0.122198i | ||||
\(223\) | −10.5167 | − | 1.66568i | −0.704248 | − | 0.111542i | −0.205969 | − | 0.978559i | \(-0.566034\pi\) |
−0.498279 | + | 0.867017i | \(0.666034\pi\) | |||||||
\(224\) | 3.93172 | 0.262699 | ||||||||
\(225\) | 10.4422 | − | 10.7685i | 0.696149 | − | 0.717898i | ||||
\(226\) | 3.76287 | 0.250303 | ||||||||
\(227\) | 1.36230 | + | 0.215768i | 0.0904192 | + | 0.0143210i | 0.201480 | − | 0.979493i | \(-0.435425\pi\) |
−0.111061 | + | 0.993814i | \(0.535425\pi\) | |||||||
\(228\) | 2.12843 | + | 8.32808i | 0.140959 | + | 0.551541i | ||||
\(229\) | 15.7865 | + | 5.12935i | 1.04320 | + | 0.338957i | 0.779997 | − | 0.625783i | \(-0.215220\pi\) |
0.263205 | + | 0.964740i | \(0.415220\pi\) | |||||||
\(230\) | −17.2138 | − | 2.84842i | −1.13505 | − | 0.187820i | ||||
\(231\) | 2.24263 | + | 24.0093i | 0.147554 | + | 1.57969i | ||||
\(232\) | 1.96449 | − | 1.96449i | 0.128975 | − | 0.128975i | ||||
\(233\) | 22.1187 | + | 11.2700i | 1.44904 | + | 0.738324i | 0.988769 | − | 0.149453i | \(-0.0477511\pi\) |
0.460274 | + | 0.887777i | \(0.347751\pi\) | |||||||
\(234\) | −3.05451 | − | 5.58550i | −0.199680 | − | 0.365135i | ||||
\(235\) | 15.0411 | + | 21.0059i | 0.981175 | + | 1.37028i | ||||
\(236\) | −3.71312 | − | 5.11067i | −0.241704 | − | 0.332677i | ||||
\(237\) | −1.68048 | + | 26.2450i | −0.109159 | + | 1.70480i | ||||
\(238\) | 0.644974 | + | 4.07220i | 0.0418074 | + | 0.263962i | ||||
\(239\) | −19.2197 | + | 13.9639i | −1.24322 | + | 0.903249i | −0.997808 | − | 0.0661704i | \(-0.978922\pi\) |
−0.245408 | + | 0.969420i | \(0.578922\pi\) | |||||||
\(240\) | 3.77281 | + | 0.875145i | 0.243534 | + | 0.0564903i | ||||
\(241\) | −5.11077 | − | 3.71319i | −0.329214 | − | 0.239188i | 0.410883 | − | 0.911688i | \(-0.365220\pi\) |
−0.740097 | + | 0.672500i | \(0.765220\pi\) | |||||||
\(242\) | −0.698434 | + | 1.37075i | −0.0448970 | + | 0.0881154i | ||||
\(243\) | −14.7985 | − | 4.89938i | −0.949325 | − | 0.314296i | ||||
\(244\) | 1.28502 | − | 0.417528i | 0.0822649 | − | 0.0267295i | ||||
\(245\) | 18.7008 | − | 2.82964i | 1.19475 | − | 0.180779i | ||||
\(246\) | −1.75339 | − | 1.03958i | −0.111792 | − | 0.0662813i | ||||
\(247\) | −4.78108 | − | 9.38340i | −0.304213 | − | 0.597051i | ||||
\(248\) | −0.232323 | + | 1.46683i | −0.0147525 | + | 0.0931436i | ||||
\(249\) | 4.07762 | − | 18.1475i | 0.258408 | − | 1.15005i | ||||
\(250\) | −3.23385 | − | 10.7024i | −0.204527 | − | 0.676882i | ||||
\(251\) | − | 13.8304i | − | 0.872966i | −0.899712 | − | 0.436483i | \(-0.856224\pi\) | ||
0.899712 | − | 0.436483i | \(-0.143776\pi\) | |||||||
\(252\) | −6.65153 | + | 9.74080i | −0.419007 | + | 0.613613i | ||||
\(253\) | 24.6185 | − | 12.5437i | 1.54775 | − | 0.788619i | ||||
\(254\) | 5.92448 | − | 18.2337i | 0.371735 | − | 1.14408i | ||||
\(255\) | −0.287508 | + | 4.05118i | −0.0180044 | + | 0.253695i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | 12.9955 | + | 12.9955i | 0.810638 | + | 0.810638i | 0.984730 | − | 0.174091i | \(-0.0556987\pi\) |
−0.174091 | + | 0.984730i | \(0.555699\pi\) | |||||||
\(258\) | −12.8990 | + | 15.5569i | −0.803054 | + | 0.968533i | ||||
\(259\) | −2.50738 | + | 3.45111i | −0.155801 | + | 0.214442i | ||||
\(260\) | −4.74493 | − | 0.0327750i | −0.294268 | − | 0.00203262i | ||||
\(261\) | 1.54356 | + | 8.19045i | 0.0955438 | + | 0.506976i | ||||
\(262\) | −11.8569 | + | 1.87794i | −0.732520 | + | 0.116020i | ||||
\(263\) | −8.70800 | + | 1.37921i | −0.536958 | + | 0.0850458i | −0.419023 | − | 0.907976i | \(-0.637627\pi\) |
−0.117935 | + | 0.993021i | \(0.537627\pi\) | |||||||
\(264\) | −5.63141 | + | 2.42950i | −0.346589 | + | 0.149526i | ||||
\(265\) | 7.74792 | − | 5.54783i | 0.475951 | − | 0.340801i | ||||
\(266\) | −11.4690 | + | 15.7857i | −0.703209 | + | 0.967885i | ||||
\(267\) | −3.52893 | − | 2.92600i | −0.215967 | − | 0.179068i | ||||
\(268\) | 6.58017 | + | 6.58017i | 0.401948 | + | 0.401948i | ||||
\(269\) | 0.0471754 | + | 0.145191i | 0.00287634 | + | 0.00885245i | 0.952484 | − | 0.304587i | \(-0.0985186\pi\) |
−0.949608 | + | 0.313440i | \(0.898519\pi\) | |||||||
\(270\) | −8.55085 | + | 7.86657i | −0.520388 | + | 0.478744i | ||||
\(271\) | −3.79892 | + | 11.6919i | −0.230768 | + | 0.710230i | 0.766887 | + | 0.641782i | \(0.221805\pi\) |
−0.997655 | + | 0.0684477i | \(0.978195\pi\) | |||||||
\(272\) | −0.934346 | + | 0.476073i | −0.0566530 | + | 0.0288662i | ||||
\(273\) | 5.33470 | − | 13.4303i | 0.322871 | − | 0.812839i | ||||
\(274\) | − | 8.40579i | − | 0.507813i | ||||||
\(275\) | 14.1784 | + | 10.6035i | 0.854988 | + | 0.639416i | ||||
\(276\) | 13.1863 | + | 2.96288i | 0.793724 | + | 0.178345i | ||||
\(277\) | 0.680977 | − | 4.29952i | 0.0409160 | − | 0.258333i | −0.958748 | − | 0.284258i | \(-0.908253\pi\) |
0.999664 | + | 0.0259243i | \(0.00825290\pi\) | |||||||
\(278\) | 1.20960 | + | 2.37397i | 0.0725468 | + | 0.142381i | ||||
\(279\) | −3.24101 | − | 3.05710i | −0.194034 | − | 0.183024i | ||||
\(280\) | 3.93710 | + | 7.86075i | 0.235287 | + | 0.469770i | ||||
\(281\) | −21.0452 | + | 6.83801i | −1.25545 | + | 0.407922i | −0.859872 | − | 0.510509i | \(-0.829457\pi\) |
−0.395582 | + | 0.918431i | \(0.629457\pi\) | |||||||
\(282\) | −10.7043 | − | 16.9088i | −0.637434 | − | 1.00691i | ||||
\(283\) | 3.54907 | − | 6.96545i | 0.210970 | − | 0.414053i | −0.761136 | − | 0.648592i | \(-0.775358\pi\) |
0.972107 | + | 0.234539i | \(0.0753581\pi\) | |||||||
\(284\) | 2.10783 | + | 1.53143i | 0.125077 | + | 0.0908736i | ||||
\(285\) | −14.5191 | + | 12.5949i | −0.860039 | + | 0.746056i | ||||
\(286\) | 6.07903 | − | 4.41668i | 0.359461 | − | 0.261164i | ||||
\(287\) | −0.723844 | − | 4.57017i | −0.0427272 | − | 0.269769i | ||||
\(288\) | −2.87901 | − | 0.843373i | −0.169648 | − | 0.0496962i | ||||
\(289\) | 9.34599 | + | 12.8637i | 0.549764 | + | 0.756686i | ||||
\(290\) | 5.89481 | + | 1.96046i | 0.346155 | + | 0.115122i | ||||
\(291\) | 20.7278 | − | 18.2331i | 1.21508 | − | 1.06884i | ||||
\(292\) | 7.96107 | + | 4.05637i | 0.465887 | + | 0.237381i | ||||
\(293\) | −5.69369 | + | 5.69369i | −0.332629 | + | 0.332629i | −0.853584 | − | 0.520955i | \(-0.825576\pi\) |
0.520955 | + | 0.853584i | \(0.325576\pi\) | |||||||
\(294\) | −14.5869 | + | 1.36252i | −0.850728 | + | 0.0794639i | ||||
\(295\) | 6.49965 | − | 12.5414i | 0.378424 | − | 0.730187i | ||||
\(296\) | −1.03187 | − | 0.335275i | −0.0599762 | − | 0.0194875i | ||||
\(297\) | 3.50793 | − | 18.0619i | 0.203550 | − | 1.04806i | ||||
\(298\) | −14.9908 | − | 2.37431i | −0.868394 | − | 0.137540i | ||||
\(299\) | −16.5582 | −0.957588 | ||||||||
\(300\) | 2.02828 | + | 8.41939i | 0.117103 | + | 0.486093i | ||||
\(301\) | −45.8739 | −2.64413 | ||||||||
\(302\) | 12.9367 | + | 2.04897i | 0.744422 | + | 0.117905i | ||||
\(303\) | 4.67370 | − | 1.19447i | 0.268497 | − | 0.0686205i | ||||
\(304\) | −4.71987 | − | 1.53358i | −0.270703 | − | 0.0879568i | ||||
\(305\) | 2.12155 | + | 2.15106i | 0.121479 | + | 0.123169i | ||||
\(306\) | 0.401223 | − | 3.12023i | 0.0229364 | − | 0.178372i | ||||
\(307\) | −6.57841 | + | 6.57841i | −0.375450 | + | 0.375450i | −0.869458 | − | 0.494008i | \(-0.835531\pi\) |
0.494008 | + | 0.869458i | \(0.335531\pi\) | |||||||
\(308\) | −12.4047 | − | 6.32050i | −0.706822 | − | 0.360144i | ||||
\(309\) | −12.8138 | − | 14.5669i | −0.728949 | − | 0.828684i | ||||
\(310\) | −3.16529 | + | 1.00435i | −0.179776 | + | 0.0570431i | ||||
\(311\) | 6.69564 | + | 9.21576i | 0.379675 | + | 0.522578i | 0.955498 | − | 0.294996i | \(-0.0953184\pi\) |
−0.575823 | + | 0.817574i | \(0.695318\pi\) | |||||||
\(312\) | 3.66798 | + | 0.234862i | 0.207659 | + | 0.0132964i | ||||
\(313\) | 3.74388 | + | 23.6379i | 0.211617 | + | 1.33610i | 0.833297 | + | 0.552825i | \(0.186450\pi\) |
−0.621681 | + | 0.783271i | \(0.713550\pi\) | |||||||
\(314\) | −7.01404 | + | 5.09600i | −0.395825 | + | 0.287584i | ||||
\(315\) | −26.1356 | − | 3.54438i | −1.47257 | − | 0.199703i | ||||
\(316\) | −12.2838 | − | 8.92470i | −0.691018 | − | 0.502054i | ||||
\(317\) | 6.09176 | − | 11.9558i | 0.342147 | − | 0.671502i | −0.654253 | − | 0.756276i | \(-0.727017\pi\) |
0.996400 | + | 0.0847737i | \(0.0270167\pi\) | |||||||
\(318\) | −6.23672 | + | 3.94823i | −0.349738 | + | 0.221406i | ||||
\(319\) | −9.35606 | + | 3.03997i | −0.523839 | + | 0.170205i | ||||
\(320\) | −1.59202 | + | 1.57018i | −0.0889968 | + | 0.0877757i | ||||
\(321\) | −4.47603 | + | 7.54939i | −0.249828 | + | 0.421366i | ||||
\(322\) | 13.9280 | + | 27.3352i | 0.776176 | + | 1.52333i | ||||
\(323\) | 0.814110 | − | 5.14009i | 0.0452983 | − | 0.286002i | ||||
\(324\) | 6.96005 | − | 5.70594i | 0.386669 | − | 0.316997i | ||||
\(325\) | −4.68589 | − | 9.51943i | −0.259927 | − | 0.528043i | ||||
\(326\) | − | 4.92933i | − | 0.273010i | ||||||
\(327\) | 16.2195 | + | 6.44261i | 0.896940 | + | 0.356277i | ||||
\(328\) | 1.04860 | − | 0.534289i | 0.0578994 | − | 0.0295012i | ||||
\(329\) | 14.0379 | − | 43.2041i | 0.773932 | − | 2.38192i | ||||
\(330\) | −10.4965 | − | 8.82614i | −0.577811 | − | 0.485863i | ||||
\(331\) | −2.24416 | − | 6.90681i | −0.123350 | − | 0.379633i | 0.870247 | − | 0.492616i | \(-0.163959\pi\) |
−0.993597 | + | 0.112983i | \(0.963959\pi\) | |||||||
\(332\) | 7.59339 | + | 7.59339i | 0.416742 | + | 0.416742i | ||||
\(333\) | 2.57632 | − | 1.98924i | 0.141181 | − | 0.109010i | ||||
\(334\) | −4.83910 | + | 6.66045i | −0.264784 | + | 0.364444i | ||||
\(335\) | −6.56666 | + | 19.7450i | −0.358775 | + | 1.07878i | ||||
\(336\) | −2.69761 | − | 6.25286i | −0.147167 | − | 0.341121i | ||||
\(337\) | −25.1497 | + | 3.98332i | −1.36999 | + | 0.216985i | −0.797695 | − | 0.603061i | \(-0.793948\pi\) |
−0.572297 | + | 0.820046i | \(0.693948\pi\) | |||||||
\(338\) | 8.39230 | − | 1.32921i | 0.456481 | − | 0.0722995i | ||||
\(339\) | −2.58176 | − | 5.98433i | −0.140222 | − | 0.325024i | ||||
\(340\) | −1.88744 | − | 1.39133i | −0.102361 | − | 0.0754554i | ||||
\(341\) | 3.09100 | − | 4.25440i | 0.167387 | − | 0.230389i | ||||
\(342\) | 11.7843 | − | 9.09898i | 0.637223 | − | 0.492017i | ||||
\(343\) | −4.05468 | − | 4.05468i | −0.218932 | − | 0.218932i | ||||
\(344\) | −3.60550 | − | 11.0966i | −0.194396 | − | 0.598288i | ||||
\(345\) | 7.28064 | + | 29.3306i | 0.391976 | + | 1.57911i | ||||
\(346\) | 1.40985 | − | 4.33907i | 0.0757940 | − | 0.233270i | ||||
\(347\) | −4.08726 | + | 2.08256i | −0.219416 | + | 0.111798i | −0.560244 | − | 0.828328i | \(-0.689293\pi\) |
0.340828 | + | 0.940126i | \(0.389293\pi\) | |||||||
\(348\) | −4.47211 | − | 1.77638i | −0.239730 | − | 0.0952242i | ||||
\(349\) | 10.1416i | 0.542867i | 0.962457 | + | 0.271434i | \(0.0874978\pi\) | ||||
−0.962457 | + | 0.271434i | \(0.912502\pi\) | |||||||
\(350\) | −11.7736 | + | 15.7430i | −0.629328 | + | 0.841499i | ||||
\(351\) | −6.78721 | + | 8.69006i | −0.362275 | + | 0.463841i | ||||
\(352\) | 0.553929 | − | 3.49737i | 0.0295245 | − | 0.186410i | ||||
\(353\) | 5.55052 | + | 10.8935i | 0.295424 | + | 0.579803i | 0.990238 | − | 0.139387i | \(-0.0445132\pi\) |
−0.694814 | + | 0.719190i | \(0.744513\pi\) | |||||||
\(354\) | −5.58019 | + | 9.41171i | −0.296584 | + | 0.500227i | ||||
\(355\) | −0.951095 | + | 5.74774i | −0.0504789 | + | 0.305058i | ||||
\(356\) | 2.51715 | − | 0.817870i | 0.133408 | − | 0.0433470i | ||||
\(357\) | 6.03375 | − | 3.81974i | 0.319340 | − | 0.202162i | ||||
\(358\) | −5.16605 | + | 10.1389i | −0.273034 | + | 0.535860i | ||||
\(359\) | 27.4018 | + | 19.9085i | 1.44621 | + | 1.05073i | 0.986699 | + | 0.162561i | \(0.0519753\pi\) |
0.459511 | + | 0.888172i | \(0.348025\pi\) | |||||||
\(360\) | −1.19678 | − | 6.60058i | −0.0630760 | − | 0.347881i | ||||
\(361\) | 4.55401 | − | 3.30868i | 0.239685 | − | 0.174141i | ||||
\(362\) | 1.02142 | + | 6.44900i | 0.0536847 | + | 0.338952i | ||||
\(363\) | 2.65920 | + | 0.170269i | 0.139572 | + | 0.00893681i | ||||
\(364\) | 4.90407 | + | 6.74988i | 0.257043 | + | 0.353790i | ||||
\(365\) | −0.138000 | + | 19.9786i | −0.00722324 | + | 1.04573i | ||||
\(366\) | −1.54569 | − | 1.75717i | −0.0807944 | − | 0.0918488i | ||||
\(367\) | −4.23542 | − | 2.15805i | −0.221087 | − | 0.112649i | 0.339939 | − | 0.940447i | \(-0.389593\pi\) |
−0.561026 | + | 0.827798i | \(0.689593\pi\) | |||||||
\(368\) | −5.51752 | + | 5.51752i | −0.287621 | + | 0.287621i | ||||
\(369\) | −0.450286 | + | 3.50179i | −0.0234410 | + | 0.182296i | ||||
\(370\) | −0.362961 | − | 2.39877i | −0.0188695 | − | 0.124706i | ||||
\(371\) | −15.9356 | − | 5.17778i | −0.827334 | − | 0.268817i | ||||
\(372\) | 2.49219 | − | 0.636934i | 0.129214 | − | 0.0330235i | ||||
\(373\) | 37.1540 | + | 5.88461i | 1.92376 | + | 0.304693i | 0.997407 | − | 0.0719662i | \(-0.0229274\pi\) |
0.926352 | + | 0.376660i | \(0.122927\pi\) | |||||||
\(374\) | 3.71320 | 0.192005 | ||||||||
\(375\) | −14.8020 | + | 12.4861i | −0.764369 | + | 0.644778i | ||||
\(376\) | 11.5541 | 0.595857 | ||||||||
\(377\) | 5.82291 | + | 0.922258i | 0.299895 | + | 0.0474987i | ||||
\(378\) | 20.0551 | + | 3.89504i | 1.03152 | + | 0.200339i | ||||
\(379\) | 15.4663 | + | 5.02532i | 0.794453 | + | 0.258133i | 0.677999 | − | 0.735063i | \(-0.262847\pi\) |
0.116454 | + | 0.993196i | \(0.462847\pi\) | |||||||
\(380\) | −1.66022 | − | 10.9722i | −0.0851674 | − | 0.562862i | ||||
\(381\) | −33.0630 | + | 3.08831i | −1.69387 | + | 0.158219i | ||||
\(382\) | 0.420892 | − | 0.420892i | 0.0215347 | − | 0.0215347i | ||||
\(383\) | −28.2694 | − | 14.4040i | −1.44450 | − | 0.736009i | −0.456393 | − | 0.889779i | \(-0.650859\pi\) |
−0.988107 | + | 0.153769i | \(0.950859\pi\) | |||||||
\(384\) | 1.30050 | − | 1.14398i | 0.0663660 | − | 0.0583786i | ||||
\(385\) | 0.215027 | − | 31.1300i | 0.0109588 | − | 1.58653i | ||||
\(386\) | −12.9501 | − | 17.8242i | −0.659141 | − | 0.907230i | ||||
\(387\) | 33.5913 | + | 9.84017i | 1.70754 | + | 0.500204i | ||||
\(388\) | 2.49330 | + | 15.7420i | 0.126578 | + | 0.799181i | ||||
\(389\) | 8.93091 | − | 6.48869i | 0.452815 | − | 0.328989i | −0.337891 | − | 0.941185i | \(-0.609714\pi\) |
0.790706 | + | 0.612196i | \(0.209714\pi\) | |||||||
\(390\) | 3.20344 | + | 7.56864i | 0.162212 | + | 0.383253i | ||||
\(391\) | −6.61978 | − | 4.80955i | −0.334776 | − | 0.243229i | ||||
\(392\) | 3.84005 | − | 7.53652i | 0.193952 | − | 0.380652i | ||||
\(393\) | 11.1218 | + | 17.5682i | 0.561019 | + | 0.886200i | ||||
\(394\) | −2.68289 | + | 0.871725i | −0.135162 | + | 0.0439169i | ||||
\(395\) | 5.54270 | − | 33.4961i | 0.278883 | − | 1.68537i | ||||
\(396\) | 7.72758 | + | 7.28906i | 0.388325 | + | 0.366289i | ||||
\(397\) | −6.77912 | − | 13.3048i | −0.340234 | − | 0.667748i | 0.655970 | − | 0.754787i | \(-0.272260\pi\) |
−0.996205 | + | 0.0870388i | \(0.972260\pi\) | |||||||
\(398\) | 1.63989 | − | 10.3538i | 0.0822000 | − | 0.518991i | ||||
\(399\) | 32.9740 | + | 7.40905i | 1.65077 | + | 0.370916i | ||||
\(400\) | −4.73348 | − | 1.61063i | −0.236674 | − | 0.0805314i | ||||
\(401\) | − | 12.7473i | − | 0.636570i | −0.947995 | − | 0.318285i | \(-0.896893\pi\) | ||
0.947995 | − | 0.318285i | \(-0.103107\pi\) | |||||||
\(402\) | 5.95010 | − | 14.9796i | 0.296764 | − | 0.747114i | ||||
\(403\) | −2.80799 | + | 1.43074i | −0.139876 | + | 0.0712703i | ||||
\(404\) | −0.860641 | + | 2.64878i | −0.0428185 | + | 0.131782i | ||||
\(405\) | 18.3775 | + | 8.20158i | 0.913187 | + | 0.407540i | ||||
\(406\) | −3.37544 | − | 10.3885i | −0.167520 | − | 0.515574i | ||||
\(407\) | 2.71660 | + | 2.71660i | 0.134657 | + | 0.134657i | ||||
\(408\) | 1.39820 | + | 1.15931i | 0.0692210 | + | 0.0573942i | ||||
\(409\) | 15.8203 | − | 21.7748i | 0.782264 | − | 1.07669i | −0.212764 | − | 0.977104i | \(-0.568247\pi\) |
0.995028 | − | 0.0995907i | \(-0.0317533\pi\) | |||||||
\(410\) | 2.11825 | + | 1.56147i | 0.104613 | + | 0.0771153i | ||||
\(411\) | −13.3682 | + | 5.76733i | −0.659407 | + | 0.284481i | ||||
\(412\) | 11.0631 | − | 1.75222i | 0.545040 | − | 0.0863259i | ||||
\(413\) | −24.5315 | + | 3.88540i | −1.20711 | + | 0.191188i | ||||
\(414\) | −4.33527 | − | 23.0039i | −0.213067 | − | 1.13058i | ||||
\(415\) | −7.57781 | + | 22.7854i | −0.371980 | + | 1.11849i | ||||
\(416\) | −1.24731 | + | 1.71677i | −0.0611543 | + | 0.0841717i | ||||
\(417\) | 2.94555 | − | 3.55251i | 0.144244 | − | 0.173967i | ||||
\(418\) | 12.4260 | + | 12.4260i | 0.607775 | + | 0.607775i | ||||
\(419\) | −5.97052 | − | 18.3754i | −0.291679 | − | 0.897696i | −0.984317 | − | 0.176410i | \(-0.943551\pi\) |
0.692638 | − | 0.721286i | \(-0.256449\pi\) | |||||||
\(420\) | 9.80014 | − | 11.6548i | 0.478198 | − | 0.568695i | ||||
\(421\) | 2.15745 | − | 6.63995i | 0.105148 | − | 0.323611i | −0.884617 | − | 0.466318i | \(-0.845580\pi\) |
0.989765 | + | 0.142706i | \(0.0455804\pi\) | |||||||
\(422\) | 1.88282 | − | 0.959347i | 0.0916545 | − | 0.0467003i | ||||
\(423\) | −19.5467 | + | 28.6251i | −0.950395 | + | 1.39180i | ||||
\(424\) | − | 4.26166i | − | 0.206964i | ||||||
\(425\) | 0.891678 | − | 5.16683i | 0.0432527 | − | 0.250628i | ||||
\(426\) | 0.989313 | − | 4.40295i | 0.0479324 | − | 0.213323i | ||||
\(427\) | 0.831033 | − | 5.24693i | 0.0402165 | − | 0.253917i | ||||
\(428\) | −2.30044 | − | 4.51487i | −0.111196 | − | 0.218234i | ||||
\(429\) | −11.1950 | − | 6.63752i | −0.540501 | − | 0.320462i | ||||
\(430\) | 18.5752 | − | 18.3203i | 0.895773 | − | 0.883483i | ||||
\(431\) | −11.4753 | + | 3.72856i | −0.552747 | + | 0.179598i | −0.572055 | − | 0.820215i | \(-0.693854\pi\) |
0.0193080 | + | 0.999814i | \(0.493854\pi\) | |||||||
\(432\) | 0.634064 | + | 5.15732i | 0.0305064 | + | 0.248132i | ||||
\(433\) | −11.0750 | + | 21.7358i | −0.532228 | + | 1.04456i | 0.455771 | + | 0.890097i | \(0.349364\pi\) |
−0.987999 | + | 0.154460i | \(0.950636\pi\) | |||||||
\(434\) | 4.72389 | + | 3.43211i | 0.226754 | + | 0.164746i | ||||
\(435\) | −0.926676 | − | 10.7200i | −0.0444307 | − | 0.513984i | ||||
\(436\) | −8.15168 | + | 5.92254i | −0.390395 | + | 0.283638i | ||||
\(437\) | −6.05780 | − | 38.2475i | −0.289784 | − | 1.82962i | ||||
\(438\) | 0.988889 | − | 15.4441i | 0.0472510 | − | 0.737948i | ||||
\(439\) | −4.35738 | − | 5.99742i | −0.207966 | − | 0.286241i | 0.692274 | − | 0.721635i | \(-0.256609\pi\) |
−0.900240 | + | 0.435394i | \(0.856609\pi\) | |||||||
\(440\) | 7.54703 | − | 2.39467i | 0.359791 | − | 0.114162i | ||||
\(441\) | 12.1752 | + | 22.2637i | 0.579772 | + | 1.06017i | ||||
\(442\) | −1.98273 | − | 1.01025i | −0.0943087 | − | 0.0480527i | ||||
\(443\) | −0.514362 | + | 0.514362i | −0.0244381 | + | 0.0244381i | −0.719220 | − | 0.694782i | \(-0.755501\pi\) |
0.694782 | + | 0.719220i | \(0.255501\pi\) | |||||||
\(444\) | 0.174772 | + | 1.87108i | 0.00829432 | + | 0.0887977i | ||||
\(445\) | 4.15577 | + | 4.21358i | 0.197002 | + | 0.199743i | ||||
\(446\) | −10.1266 | − | 3.29034i | −0.479509 | − | 0.155802i | ||||
\(447\) | 6.50939 | + | 25.4698i | 0.307883 | + | 1.20468i | ||||
\(448\) | 3.88332 | + | 0.615057i | 0.183469 | + | 0.0290587i | ||||
\(449\) | −29.6955 | −1.40142 | −0.700709 | − | 0.713447i | \(-0.747133\pi\) | ||||
−0.700709 | + | 0.713447i | \(0.747133\pi\) | |||||||
\(450\) | 11.9982 | − | 9.00236i | 0.565602 | − | 0.424375i | ||||
\(451\) | −4.16727 | −0.196229 | ||||||||
\(452\) | 3.71655 | + | 0.588643i | 0.174812 | + | 0.0276874i | ||||
\(453\) | −5.61743 | − | 21.9798i | −0.263930 | − | 1.03270i | ||||
\(454\) | 1.31178 | + | 0.426222i | 0.0615648 | + | 0.0200036i | ||||
\(455\) | −8.58435 | + | 16.5639i | −0.402441 | + | 0.776527i | ||||
\(456\) | 0.799425 | + | 8.55851i | 0.0374365 | + | 0.400789i | ||||
\(457\) | −2.68309 | + | 2.68309i | −0.125510 | + | 0.125510i | −0.767071 | − | 0.641562i | \(-0.778287\pi\) |
0.641562 | + | 0.767071i | \(0.278287\pi\) | |||||||
\(458\) | 14.7898 | + | 7.53576i | 0.691080 | + | 0.352123i | ||||
\(459\) | −5.23758 | + | 1.50274i | −0.244469 | + | 0.0701421i | ||||
\(460\) | −16.5563 | − | 5.50620i | −0.771943 | − | 0.256728i | ||||
\(461\) | −6.68161 | − | 9.19644i | −0.311193 | − | 0.428321i | 0.624560 | − | 0.780977i | \(-0.285279\pi\) |
−0.935753 | + | 0.352656i | \(0.885279\pi\) | |||||||
\(462\) | −1.54085 | + | 24.0645i | −0.0716870 | + | 1.11958i | ||||
\(463\) | −2.20029 | − | 13.8921i | −0.102256 | − | 0.645619i | −0.984574 | − | 0.174966i | \(-0.944018\pi\) |
0.882318 | − | 0.470653i | \(-0.155982\pi\) | |||||||
\(464\) | 2.24762 | − | 1.63299i | 0.104343 | − | 0.0758097i | ||||
\(465\) | 3.76903 | + | 4.34486i | 0.174784 | + | 0.201488i | ||||
\(466\) | 20.0833 | + | 14.5914i | 0.930343 | + | 0.675934i | ||||
\(467\) | −2.03239 | + | 3.98879i | −0.0940479 | + | 0.184579i | −0.933238 | − | 0.359259i | \(-0.883030\pi\) |
0.839190 | + | 0.543838i | \(0.183030\pi\) | |||||||
\(468\) | −2.14314 | − | 5.99456i | −0.0990667 | − | 0.277099i | ||||
\(469\) | 34.7969 | − | 11.3062i | 1.60677 | − | 0.522072i | ||||
\(470\) | 11.5699 | + | 23.1003i | 0.533679 | + | 1.06554i | ||||
\(471\) | 12.9169 | + | 7.65842i | 0.595180 | + | 0.352881i | ||||
\(472\) | −2.86792 | − | 5.62861i | −0.132007 | − | 0.259078i | ||||
\(473\) | −6.46305 | + | 40.8061i | −0.297171 | + | 1.87627i | ||||
\(474\) | −5.76542 | + | 25.6590i | −0.264814 | + | 1.17856i | ||||
\(475\) | 20.2744 | − | 14.3065i | 0.930253 | − | 0.656427i | ||||
\(476\) | 4.12296i | 0.188976i | ||||||||
\(477\) | 10.5582 | + | 7.20970i | 0.483427 | + | 0.330109i | ||||
\(478\) | −21.1675 | + | 10.7854i | −0.968177 | + | 0.493311i | ||||
\(479\) | 9.35922 | − | 28.8047i | 0.427634 | − | 1.31612i | −0.472816 | − | 0.881161i | \(-0.656763\pi\) |
0.900450 | − | 0.434960i | \(-0.143237\pi\) | |||||||
\(480\) | 3.58946 | + | 1.45457i | 0.163836 | + | 0.0663916i | ||||
\(481\) | −0.711470 | − | 2.18968i | −0.0324402 | − | 0.0998408i | ||||
\(482\) | −4.46698 | − | 4.46698i | −0.203465 | − | 0.203465i | ||||
\(483\) | 33.9167 | − | 40.9056i | 1.54326 | − | 1.86127i | ||||
\(484\) | −0.904268 | + | 1.24462i | −0.0411031 | + | 0.0565736i | ||||
\(485\) | −28.9766 | + | 20.7485i | −1.31576 | + | 0.942139i | ||||
\(486\) | −13.8499 | − | 7.15406i | −0.628244 | − | 0.324515i | ||||
\(487\) | −0.548721 | + | 0.0869089i | −0.0248649 | + | 0.00393822i | −0.168855 | − | 0.985641i | \(-0.554007\pi\) |
0.143990 | + | 0.989579i | \(0.454007\pi\) | |||||||
\(488\) | 1.33451 | − | 0.211366i | 0.0604106 | − | 0.00956809i | ||||
\(489\) | −7.83941 | + | 3.38208i | −0.354510 | + | 0.152943i | ||||
\(490\) | 18.9132 | + | 0.130641i | 0.854411 | + | 0.00590174i | ||||
\(491\) | 3.72379 | − | 5.12536i | 0.168052 | − | 0.231304i | −0.716682 | − | 0.697400i | \(-0.754340\pi\) |
0.884734 | + | 0.466096i | \(0.154340\pi\) | |||||||
\(492\) | −1.56917 | − | 1.30107i | −0.0707438 | − | 0.0586569i | ||||
\(493\) | 2.06004 | + | 2.06004i | 0.0927797 | + | 0.0927797i | ||||
\(494\) | −3.25433 | − | 10.0158i | −0.146419 | − | 0.450632i | ||||
\(495\) | −6.83498 | + | 22.7489i | −0.307210 | + | 1.02249i | ||||
\(496\) | −0.458925 | + | 1.41243i | −0.0206063 | + | 0.0634198i | ||||
\(497\) | 9.12729 | − | 4.65059i | 0.409415 | − | 0.208607i | ||||
\(498\) | 6.86630 | − | 17.2862i | 0.307686 | − | 0.774612i | ||||
\(499\) | 26.3004i | 1.17737i | 0.808363 | + | 0.588684i | \(0.200354\pi\) | ||||
−0.808363 | + | 0.588684i | \(0.799646\pi\) | |||||||
\(500\) | −1.51981 | − | 11.0766i | −0.0679678 | − | 0.495359i | ||||
\(501\) | 13.9127 | + | 3.12609i | 0.621573 | + | 0.139663i | ||||
\(502\) | 2.16355 | − | 13.6601i | 0.0965639 | − | 0.609681i | ||||
\(503\) | −2.72953 | − | 5.35700i | −0.121704 | − | 0.238857i | 0.822115 | − | 0.569322i | \(-0.192794\pi\) |
−0.943818 | + | 0.330465i | \(0.892794\pi\) | |||||||
\(504\) | −8.09343 | + | 8.58034i | −0.360510 | + | 0.382199i | ||||
\(505\) | −6.15757 | + | 0.931711i | −0.274008 | + | 0.0414606i | ||||
\(506\) | 26.2777 | − | 8.53813i | 1.16818 | − | 0.379566i | ||||
\(507\) | −7.87200 | − | 12.4348i | −0.349608 | − | 0.552249i | ||||
\(508\) | 8.70391 | − | 17.0824i | 0.386174 | − | 0.757908i | ||||
\(509\) | −1.71448 | − | 1.24564i | −0.0759931 | − | 0.0552122i | 0.549140 | − | 0.835730i | \(-0.314955\pi\) |
−0.625133 | + | 0.780518i | \(0.714955\pi\) | |||||||
\(510\) | −0.917712 | + | 3.95633i | −0.0406370 | + | 0.175189i | ||||
\(511\) | 28.4205 | − | 20.6487i | 1.25725 | − | 0.913444i | ||||
\(512\) | 0.156434 | + | 0.987688i | 0.00691349 | + | 0.0436501i | ||||
\(513\) | −22.5560 | − | 12.4984i | −0.995874 | − | 0.551817i | ||||
\(514\) | 10.8026 | + | 14.8685i | 0.476481 | + | 0.655820i | ||||
\(515\) | 14.5815 | + | 20.3640i | 0.642537 | + | 0.897346i | ||||
\(516\) | −15.1738 | + | 13.3476i | −0.667989 | + | 0.587594i | ||||
\(517\) | −36.4534 | − | 18.5739i | −1.60322 | − | 0.816881i | ||||
\(518\) | −3.01638 | + | 3.01638i | −0.132532 | + | 0.132532i | ||||
\(519\) | −7.86801 | + | 0.734927i | −0.345367 | + | 0.0322597i | ||||
\(520\) | −4.68139 | − | 0.774642i | −0.205292 | − | 0.0339703i | ||||
\(521\) | 7.20132 | + | 2.33985i | 0.315496 | + | 0.102511i | 0.462484 | − | 0.886627i | \(-0.346958\pi\) |
−0.146989 | + | 0.989138i | \(0.546958\pi\) | |||||||
\(522\) | 0.243285 | + | 8.33107i | 0.0106483 | + | 0.364641i | ||||
\(523\) | −19.0191 | − | 3.01233i | −0.831649 | − | 0.131720i | −0.273929 | − | 0.961750i | \(-0.588323\pi\) |
−0.557719 | + | 0.830030i | \(0.688323\pi\) | |||||||
\(524\) | −12.0047 | −0.524427 | ||||||||
\(525\) | 33.1151 | + | 7.92284i | 1.44526 | + | 0.345781i | ||||
\(526\) | −8.81654 | −0.384420 | ||||||||
\(527\) | −1.53818 | − | 0.243623i | −0.0670040 | − | 0.0106124i | ||||
\(528\) | −5.94214 | + | 1.51865i | −0.258598 | + | 0.0660906i | ||||
\(529\) | −36.0318 | − | 11.7074i | −1.56660 | − | 0.509019i | ||||
\(530\) | 8.52040 | − | 4.26749i | 0.370102 | − | 0.185368i | ||||
\(531\) | 18.7967 | + | 2.41702i | 0.815706 | + | 0.104890i | ||||
\(532\) | −13.7972 | + | 13.7972i | −0.598186 | + | 0.598186i | ||||
\(533\) | 2.22518 | + | 1.13379i | 0.0963834 | + | 0.0491098i | ||||
\(534\) | −3.02776 | − | 3.44202i | −0.131024 | − | 0.148951i | ||||
\(535\) | 6.72306 | − | 9.12035i | 0.290663 | − | 0.394307i | ||||
\(536\) | 5.46979 | + | 7.52852i | 0.236259 | + | 0.325183i | ||||
\(537\) | 19.6691 | + | 1.25942i | 0.848784 | + | 0.0543478i | ||||
\(538\) | 0.0238817 | + | 0.150783i | 0.00102961 | + | 0.00650073i | ||||
\(539\) | −24.2309 | + | 17.6048i | −1.04370 | + | 0.758291i | ||||
\(540\) | −9.67618 | + | 6.43207i | −0.416397 | + | 0.276792i | ||||
\(541\) | −5.35372 | − | 3.88970i | −0.230174 | − | 0.167231i | 0.466720 | − | 0.884405i | \(-0.345435\pi\) |
−0.696895 | + | 0.717174i | \(0.745435\pi\) | |||||||
\(542\) | −5.58115 | + | 10.9536i | −0.239731 | + | 0.470499i | ||||
\(543\) | 9.55543 | − | 6.04918i | 0.410063 | − | 0.259595i | ||||
\(544\) | −0.997317 | + | 0.324048i | −0.0427596 | + | 0.0138934i | ||||
\(545\) | −20.0039 | − | 10.3671i | −0.856871 | − | 0.444079i | ||||
\(546\) | 7.36999 | − | 12.4304i | 0.315406 | − | 0.531973i | ||||
\(547\) | −1.05652 | − | 2.07353i | −0.0451734 | − | 0.0886577i | 0.867316 | − | 0.497757i | \(-0.165843\pi\) |
−0.912490 | + | 0.409099i | \(0.865843\pi\) | |||||||
\(548\) | 1.31496 | − | 8.30230i | 0.0561721 | − | 0.354657i | ||||
\(549\) | −1.73402 | + | 3.66382i | −0.0740061 | + | 0.156368i | ||||
\(550\) | 12.3451 | + | 12.6909i | 0.526395 | + | 0.541144i | ||||
\(551\) | 13.7876i | 0.587372i | ||||||||
\(552\) | 12.5605 | + | 4.98920i | 0.534610 | + | 0.212354i | ||||
\(553\) | −53.1911 | + | 27.1022i | −2.26192 | + | 1.15250i | ||||
\(554\) | 1.34519 | − | 4.14006i | 0.0571515 | − | 0.175894i | ||||
\(555\) | −3.56587 | + | 2.22307i | −0.151363 | + | 0.0943640i | ||||
\(556\) | 0.823335 | + | 2.53396i | 0.0349172 | + | 0.107464i | ||||
\(557\) | −0.0556738 | − | 0.0556738i | −0.00235897 | − | 0.00235897i | 0.705926 | − | 0.708285i | \(-0.250531\pi\) |
−0.708285 | + | 0.705926i | \(0.750531\pi\) | |||||||
\(558\) | −2.72288 | − | 3.52646i | −0.115269 | − | 0.149287i | ||||
\(559\) | 14.5532 | − | 20.0307i | 0.615533 | − | 0.847208i | ||||
\(560\) | 2.65894 | + | 8.37987i | 0.112361 | + | 0.354114i | ||||
\(561\) | −2.54768 | − | 5.90533i | −0.107563 | − | 0.249323i | ||||
\(562\) | −21.8558 | + | 3.46162i | −0.921933 | + | 0.146020i | ||||
\(563\) | 38.0847 | − | 6.03203i | 1.60508 | − | 0.254220i | 0.711355 | − | 0.702833i | \(-0.248082\pi\) |
0.893726 | + | 0.448613i | \(0.148082\pi\) | |||||||
\(564\) | −7.92742 | − | 18.3752i | −0.333805 | − | 0.773734i | ||||
\(565\) | 2.54475 | + | 8.02000i | 0.107058 | + | 0.337404i | ||||
\(566\) | 4.59501 | − | 6.32449i | 0.193143 | − | 0.265838i | ||||
\(567\) | −7.56556 | − | 34.5673i | −0.317724 | − | 1.45169i | ||||
\(568\) | 1.84231 | + | 1.84231i | 0.0773017 | + | 0.0773017i | ||||
\(569\) | 2.48906 | + | 7.66055i | 0.104347 | + | 0.321147i | 0.989577 | − | 0.144007i | \(-0.0459988\pi\) |
−0.885230 | + | 0.465154i | \(0.845999\pi\) | |||||||
\(570\) | −16.3106 | + | 10.1685i | −0.683178 | + | 0.425912i | ||||
\(571\) | −6.28765 | + | 19.3514i | −0.263130 | + | 0.809831i | 0.728988 | + | 0.684526i | \(0.239991\pi\) |
−0.992118 | + | 0.125305i | \(0.960009\pi\) | |||||||
\(572\) | 6.69511 | − | 3.41133i | 0.279937 | − | 0.142635i | ||||
\(573\) | −0.958149 | − | 0.380590i | −0.0400273 | − | 0.0158994i | ||||
\(574\) | − | 4.62714i | − | 0.193133i | ||||||
\(575\) | −5.57035 | − | 38.6150i | −0.232300 | − | 1.61036i | ||||
\(576\) | −2.71164 | − | 1.28337i | −0.112985 | − | 0.0534736i | ||||
\(577\) | −5.77419 | + | 36.4568i | −0.240383 | + | 1.51772i | 0.511997 | + | 0.858987i | \(0.328906\pi\) |
−0.752380 | + | 0.658729i | \(0.771094\pi\) | |||||||
\(578\) | 7.21861 | + | 14.1673i | 0.300255 | + | 0.589283i | ||||
\(579\) | −19.4617 | + | 32.8247i | −0.808803 | + | 1.36415i | ||||
\(580\) | 5.51555 | + | 2.85847i | 0.229021 | + | 0.118692i | ||||
\(581\) | 40.1550 | − | 13.0472i | 1.66591 | − | 0.541287i | ||||
\(582\) | 23.3249 | − | 14.7661i | 0.966846 | − | 0.612074i | ||||
\(583\) | −6.85089 | + | 13.4456i | −0.283735 | + | 0.556861i | ||||
\(584\) | 7.22850 | + | 5.25182i | 0.299118 | + | 0.217322i | ||||
\(585\) | 9.83895 | − | 10.2876i | 0.406790 | − | 0.425339i | ||||
\(586\) | −6.51428 | + | 4.73290i | −0.269102 | + | 0.195514i | ||||
\(587\) | 4.84574 | + | 30.5948i | 0.200005 | + | 1.26278i | 0.859525 | + | 0.511094i | \(0.170760\pi\) |
−0.659520 | + | 0.751687i | \(0.729240\pi\) | |||||||
\(588\) | −14.6205 | − | 0.936154i | −0.602940 | − | 0.0386063i | ||||
\(589\) | −4.33213 | − | 5.96267i | −0.178502 | − | 0.245688i | ||||
\(590\) | 8.38153 | − | 11.3702i | 0.345062 | − | 0.468103i | ||||
\(591\) | 3.22713 | + | 3.66867i | 0.132746 | + | 0.150909i | ||||
\(592\) | −0.966718 | − | 0.492567i | −0.0397319 | − | 0.0202444i | ||||
\(593\) | 21.6044 | − | 21.6044i | 0.887186 | − | 0.887186i | −0.107066 | − | 0.994252i | \(-0.534146\pi\) |
0.994252 | + | 0.107066i | \(0.0341455\pi\) | |||||||
\(594\) | 6.29024 | − | 17.2908i | 0.258092 | − | 0.709449i | ||||
\(595\) | −8.24311 | + | 4.12860i | −0.337934 | + | 0.169256i | ||||
\(596\) | −14.4348 | − | 4.69016i | −0.591273 | − | 0.192116i | ||||
\(597\) | −17.5915 | + | 4.49590i | −0.719971 | + | 0.184005i | ||||
\(598\) | −16.3544 | − | 2.59028i | −0.668780 | − | 0.105924i | ||||
\(599\) | 32.5862 | 1.33144 | 0.665718 | − | 0.746204i | \(-0.268126\pi\) | ||||
0.665718 | + | 0.746204i | \(0.268126\pi\) | |||||||
\(600\) | 0.686230 | + | 8.63302i | 0.0280152 | + | 0.352442i | ||||
\(601\) | 25.6991 | 1.04829 | 0.524144 | − | 0.851630i | \(-0.324386\pi\) | ||||
0.524144 | + | 0.851630i | \(0.324386\pi\) | |||||||
\(602\) | −45.3092 | − | 7.17626i | −1.84666 | − | 0.292483i | ||||
\(603\) | −27.9054 | + | 0.814897i | −1.13640 | + | 0.0331852i | ||||
\(604\) | 12.4569 | + | 4.04749i | 0.506863 | + | 0.164690i | ||||
\(605\) | −3.39389 | − | 0.561597i | −0.137981 | − | 0.0228322i | ||||
\(606\) | 4.80302 | − | 0.448635i | 0.195109 | − | 0.0182246i | ||||
\(607\) | 6.64949 | − | 6.64949i | 0.269894 | − | 0.269894i | −0.559163 | − | 0.829058i | \(-0.688877\pi\) |
0.829058 | + | 0.559163i | \(0.188877\pi\) | |||||||
\(608\) | −4.42186 | − | 2.25305i | −0.179330 | − | 0.0913732i | ||||
\(609\) | −14.2056 | + | 12.4959i | −0.575639 | + | 0.506358i | ||||
\(610\) | 1.75893 | + | 2.45646i | 0.0712168 | + | 0.0994591i | ||||
\(611\) | 14.4115 | + | 19.8357i | 0.583027 | + | 0.802469i | ||||
\(612\) | 0.884395 | − | 3.01905i | 0.0357496 | − | 0.122038i | ||||
\(613\) | −4.00713 | − | 25.3000i | −0.161846 | − | 1.02186i | −0.926192 | − | 0.377052i | \(-0.876938\pi\) |
0.764346 | − | 0.644807i | \(-0.223062\pi\) | |||||||
\(614\) | −7.52651 | + | 5.46833i | −0.303745 | + | 0.220684i | ||||
\(615\) | 1.02993 | − | 4.44012i | 0.0415310 | − | 0.179043i | ||||
\(616\) | −11.2632 | − | 8.18320i | −0.453808 | − | 0.329711i | ||||
\(617\) | −20.5976 | + | 40.4250i | −0.829227 | + | 1.62745i | −0.0516476 | + | 0.998665i | \(0.516447\pi\) |
−0.777580 | + | 0.628785i | \(0.783553\pi\) | |||||||
\(618\) | −10.3772 | − | 16.3921i | −0.417433 | − | 0.659387i | ||||
\(619\) | −42.4716 | + | 13.7999i | −1.70708 | + | 0.554663i | −0.989843 | − | 0.142168i | \(-0.954593\pi\) |
−0.717235 | + | 0.696831i | \(0.754593\pi\) | |||||||
\(620\) | −3.28344 | + | 0.496822i | −0.131866 | + | 0.0199528i | ||||
\(621\) | −33.6100 | + | 22.6779i | −1.34872 | + | 0.910035i | ||||
\(622\) | 5.17155 | + | 10.1497i | 0.207360 | + | 0.406967i | ||||
\(623\) | 1.62786 | − | 10.2779i | 0.0652189 | − | 0.411776i | ||||
\(624\) | 3.58608 | + | 0.805769i | 0.143558 | + | 0.0322566i | ||||
\(625\) | 20.6237 | − | 14.1303i | 0.824946 | − | 0.565211i | ||||
\(626\) | 23.9326i | 0.956539i | ||||||||
\(627\) | 11.2362 | − | 28.2874i | 0.448729 | − | 1.12969i | ||||
\(628\) | −7.72488 | + | 3.93602i | −0.308256 | + | 0.157064i | ||||
\(629\) | 0.351583 | − | 1.08206i | 0.0140185 | − | 0.0431446i | ||||
\(630\) | −25.2593 | − | 7.58925i | −1.00636 | − | 0.302363i | ||||
\(631\) | −12.3680 | − | 38.0648i | −0.492363 | − | 1.51534i | −0.821027 | − | 0.570890i | \(-0.806598\pi\) |
0.328664 | − | 0.944447i | \(-0.393402\pi\) | |||||||
\(632\) | −10.7364 | − | 10.7364i | −0.427073 | − | 0.427073i | ||||
\(633\) | −2.81754 | − | 2.33615i | −0.111987 | − | 0.0928536i | ||||
\(634\) | 7.88706 | − | 10.8556i | 0.313235 | − | 0.431131i | ||||
\(635\) | 42.8689 | + | 0.296112i | 1.70120 | + | 0.0117508i | ||||
\(636\) | −6.77757 | + | 2.92398i | −0.268748 | + | 0.115943i | ||||
\(637\) | 17.7282 | − | 2.80788i | 0.702418 | − | 0.111252i | ||||
\(638\) | −9.71642 | + | 1.53893i | −0.384677 | + | 0.0609268i | ||||
\(639\) | −7.68105 | + | 1.44756i | −0.303858 | + | 0.0572645i | ||||
\(640\) | −1.81805 | + | 1.30180i | −0.0718648 | + | 0.0514582i | ||||
\(641\) | 8.86726 | − | 12.2047i | 0.350236 | − | 0.482058i | −0.597160 | − | 0.802122i | \(-0.703704\pi\) |
0.947396 | + | 0.320064i | \(0.103704\pi\) | |||||||
\(642\) | −5.60191 | + | 6.75624i | −0.221090 | + | 0.266648i | ||||
\(643\) | 28.2993 | + | 28.2993i | 1.11602 | + | 1.11602i | 0.992320 | + | 0.123696i | \(0.0394747\pi\) |
0.123696 | + | 0.992320i | \(0.460525\pi\) | |||||||
\(644\) | 9.48034 | + | 29.1775i | 0.373578 | + | 1.14975i | ||||
\(645\) | −41.8806 | − | 16.9714i | −1.64905 | − | 0.668248i | ||||
\(646\) | 1.60817 | − | 4.94945i | 0.0632728 | − | 0.194734i | ||||
\(647\) | −16.2495 | + | 8.27955i | −0.638835 | + | 0.325503i | −0.743233 | − | 0.669033i | \(-0.766709\pi\) |
0.104398 | + | 0.994536i | \(0.466709\pi\) | |||||||
\(648\) | 7.76696 | − | 4.54690i | 0.305115 | − | 0.178619i | ||||
\(649\) | 22.3688i | 0.878051i | ||||||||
\(650\) | −3.13903 | − | 10.1353i | −0.123123 | − | 0.397538i | ||||
\(651\) | 2.21716 | − | 9.86750i | 0.0868974 | − | 0.386738i | ||||
\(652\) | 0.771116 | − | 4.86864i | 0.0301992 | − | 0.190671i | ||||
\(653\) | 11.3587 | + | 22.2926i | 0.444499 | + | 0.872379i | 0.999187 | + | 0.0403201i | \(0.0128378\pi\) |
−0.554688 | + | 0.832059i | \(0.687162\pi\) | |||||||
\(654\) | 15.0120 | + | 8.90057i | 0.587014 | + | 0.348040i | ||||
\(655\) | −12.0211 | − | 24.0011i | −0.469703 | − | 0.937802i | ||||
\(656\) | 1.11927 | − | 0.363674i | 0.0437003 | − | 0.0141991i | ||||
\(657\) | −25.2402 | + | 9.02373i | −0.984714 | + | 0.352049i | ||||
\(658\) | 20.6236 | − | 40.4762i | 0.803993 | − | 1.57793i | ||||
\(659\) | 20.1677 | + | 14.6527i | 0.785623 | + | 0.570789i | 0.906661 | − | 0.421859i | \(-0.138622\pi\) |
−0.121038 | + | 0.992648i | \(0.538622\pi\) | |||||||
\(660\) | −8.98652 | − | 10.3595i | −0.349800 | − | 0.403242i | ||||
\(661\) | −17.0562 | + | 12.3921i | −0.663411 | + | 0.481996i | −0.867813 | − | 0.496891i | \(-0.834475\pi\) |
0.204402 | + | 0.978887i | \(0.434475\pi\) | |||||||
\(662\) | −1.13607 | − | 7.17284i | −0.0441545 | − | 0.278780i | ||||
\(663\) | −0.246286 | + | 3.84640i | −0.00956494 | + | 0.149382i | ||||
\(664\) | 6.31204 | + | 8.68777i | 0.244955 | + | 0.337151i | ||||
\(665\) | −41.4011 | − | 13.7689i | −1.60547 | − | 0.533935i | ||||
\(666\) | 2.85578 | − | 1.56173i | 0.110659 | − | 0.0605157i | ||||
\(667\) | 19.3154 | + | 9.84171i | 0.747897 | + | 0.381072i | ||||
\(668\) | −5.82145 | + | 5.82145i | −0.225239 | + | 0.225239i | ||||
\(669\) | 1.71519 | + | 18.3625i | 0.0663129 | + | 0.709936i | ||||
\(670\) | −9.57462 | + | 18.4747i | −0.369900 | + | 0.713738i | ||||
\(671\) | −4.55020 | − | 1.47845i | −0.175659 | − | 0.0570750i | ||||
\(672\) | −1.68623 | − | 6.59787i | −0.0650479 | − | 0.254518i | ||||
\(673\) | 11.5267 | + | 1.82565i | 0.444321 | + | 0.0703736i | 0.374586 | − | 0.927192i | \(-0.377785\pi\) |
0.0697348 | + | 0.997566i | \(0.477785\pi\) | |||||||
\(674\) | −25.4632 | −0.980806 | ||||||||
\(675\) | −22.5492 | − | 12.9049i | −0.867917 | − | 0.496709i | ||||
\(676\) | 8.49691 | 0.326804 | ||||||||
\(677\) | −23.2090 | − | 3.67594i | −0.891993 | − | 0.141278i | −0.306419 | − | 0.951897i | \(-0.599131\pi\) |
−0.585574 | + | 0.810619i | \(0.699131\pi\) | |||||||
\(678\) | −1.61382 | − | 6.31453i | −0.0619783 | − | 0.242508i | ||||
\(679\) | 59.5978 | + | 19.3645i | 2.28715 | + | 0.743142i | ||||
\(680\) | −1.64655 | − | 1.66946i | −0.0631425 | − | 0.0640209i | ||||
\(681\) | −0.222181 | − | 2.37864i | −0.00851400 | − | 0.0911495i | ||||
\(682\) | 3.71848 | − | 3.71848i | 0.142388 | − | 0.142388i | ||||
\(683\) | 15.4895 | + | 7.89232i | 0.592691 | + | 0.301991i | 0.724490 | − | 0.689285i | \(-0.242075\pi\) |
−0.131799 | + | 0.991276i | \(0.542075\pi\) | |||||||
\(684\) | 13.0626 | − | 7.14349i | 0.499462 | − | 0.273138i | ||||
\(685\) | 17.9157 | − | 5.68465i | 0.684523 | − | 0.217199i | ||||
\(686\) | −3.37046 | − | 4.63905i | −0.128685 | − | 0.177120i | ||||
\(687\) | 1.83712 | − | 28.6914i | 0.0700904 | − | 1.09465i | ||||
\(688\) | −1.82522 | − | 11.5240i | −0.0695859 | − | 0.439348i | ||||
\(689\) | 7.31630 | − | 5.31560i | 0.278729 | − | 0.202508i | ||||
\(690\) | 2.60269 | + | 30.1084i | 0.0990826 | + | 1.14621i | ||||
\(691\) | 3.69930 | + | 2.68770i | 0.140728 | + | 0.102245i | 0.655922 | − | 0.754829i | \(-0.272280\pi\) |
−0.515194 | + | 0.857074i | \(0.672280\pi\) | |||||||
\(692\) | 2.07127 | − | 4.06510i | 0.0787380 | − | 0.154532i | ||||
\(693\) | 39.3284 | − | 14.0605i | 1.49396 | − | 0.534113i | ||||
\(694\) | −4.36272 | + | 1.41754i | −0.165607 | + | 0.0538089i | ||||
\(695\) | −4.24173 | + | 4.18354i | −0.160898 | + | 0.158691i | ||||
\(696\) | −4.13917 | − | 2.45411i | −0.156895 | − | 0.0930227i | ||||
\(697\) | 0.560278 | + | 1.09961i | 0.0212220 | + | 0.0416506i | ||||
\(698\) | −1.58650 | + | 10.0167i | −0.0600498 | + | 0.379139i | ||||
\(699\) | 9.42614 | − | 41.9511i | 0.356529 | − | 1.58674i | ||||
\(700\) | −14.0914 | + | 13.7074i | −0.532606 | + | 0.518090i | ||||
\(701\) | 44.4087i | 1.67729i | 0.544676 | + | 0.838646i | \(0.316652\pi\) | ||||
−0.544676 | + | 0.838646i | \(0.683348\pi\) | |||||||
\(702\) | −8.06308 | + | 7.52132i | −0.304321 | + | 0.283874i | ||||
\(703\) | 4.79760 | − | 2.44450i | 0.180945 | − | 0.0921960i | ||||
\(704\) | 1.09422 | − | 3.36766i | 0.0412399 | − | 0.126923i | ||||
\(705\) | 28.7995 | − | 34.2497i | 1.08465 | − | 1.28992i | ||||
\(706\) | 3.77806 | + | 11.6277i | 0.142189 | + | 0.437614i | ||||
\(707\) | 7.74297 | + | 7.74297i | 0.291204 | + | 0.291204i | ||||
\(708\) | −6.98381 | + | 8.42290i | −0.262468 | + | 0.316552i | ||||
\(709\) | −10.6950 | + | 14.7204i | −0.401659 | + | 0.552836i | −0.961159 | − | 0.275994i | \(-0.910993\pi\) |
0.559500 | + | 0.828830i | \(0.310993\pi\) | |||||||
\(710\) | −1.83853 | + | 5.52819i | −0.0689988 | + | 0.207469i | ||||
\(711\) | 44.7629 | − | 8.43593i | 1.67874 | − | 0.316372i | ||||
\(712\) | 2.61410 | − | 0.414033i | 0.0979675 | − | 0.0155165i | ||||
\(713\) | −11.4456 | + | 1.81280i | −0.428640 | + | 0.0678900i | ||||
\(714\) | 6.55700 | − | 2.82882i | 0.245390 | − | 0.105866i | ||||
\(715\) | 13.5246 | + | 9.96964i | 0.505791 | + | 0.372844i | ||||
\(716\) | −6.68853 | + | 9.20597i | −0.249962 | + | 0.344043i | ||||
\(717\) | 31.6759 | + | 26.2639i | 1.18296 | + | 0.980844i | ||||
\(718\) | 23.9500 | + | 23.9500i | 0.893807 | + | 0.893807i | ||||
\(719\) | 7.53117 | + | 23.1785i | 0.280865 | + | 0.864414i | 0.987608 | + | 0.156943i | \(0.0501639\pi\) |
−0.706743 | + | 0.707471i | \(0.749836\pi\) | |||||||
\(720\) | −0.149490 | − | 6.70654i | −0.00557118 | − | 0.249938i | ||||
\(721\) | 13.6089 | − | 41.8838i | 0.506821 | − | 1.55984i | ||||
\(722\) | 5.01554 | − | 2.55554i | 0.186659 | − | 0.0951075i | ||||
\(723\) | −4.03925 | + | 10.1690i | −0.150221 | + | 0.378188i | ||||
\(724\) | 6.52939i | 0.242663i | ||||||||
\(725\) | −0.191892 | + | 13.8897i | −0.00712670 | + | 0.515851i | ||||
\(726\) | 2.59982 | + | 0.584163i | 0.0964885 | + | 0.0216803i | ||||
\(727\) | −7.37431 | + | 46.5595i | −0.273498 | + | 1.72680i | 0.342907 | + | 0.939369i | \(0.388588\pi\) |
−0.616405 | + | 0.787429i | \(0.711412\pi\) | |||||||
\(728\) | 3.78778 | + | 7.43394i | 0.140385 | + | 0.275520i | ||||
\(729\) | −1.87494 | + | 26.9348i | −0.0694422 | + | 0.997586i | ||||
\(730\) | −3.26164 | + | 19.7111i | −0.120719 | + | 0.729539i | ||||
\(731\) | 11.6363 | − | 3.78088i | 0.430385 | − | 0.139841i | ||||
\(732\) | −1.25178 | − | 1.97734i | −0.0462670 | − | 0.0730845i | ||||
\(733\) | 21.4583 | − | 42.1144i | 0.792582 | − | 1.55553i | −0.0384204 | − | 0.999262i | \(-0.512233\pi\) |
0.831003 | − | 0.556268i | \(-0.187767\pi\) | |||||||
\(734\) | −3.84568 | − | 2.79405i | −0.141947 | − | 0.103130i | ||||
\(735\) | −12.7688 | − | 30.1684i | −0.470986 | − | 1.11278i | ||||
\(736\) | −6.31272 | + | 4.58646i | −0.232690 | + | 0.169059i | ||||
\(737\) | −5.15473 | − | 32.5457i | −0.189877 | − | 1.19884i | ||||
\(738\) | −0.992543 | + | 3.38823i | −0.0365360 | + | 0.124723i | ||||
\(739\) | −14.8135 | − | 20.3891i | −0.544925 | − | 0.750025i | 0.444388 | − | 0.895835i | \(-0.353421\pi\) |
−0.989313 | + | 0.145810i | \(0.953421\pi\) | |||||||
\(740\) | 0.0167574 | − | 2.42601i | 0.000616015 | − | 0.0891821i | ||||
\(741\) | −13.6959 | + | 12.0475i | −0.503131 | + | 0.442577i | ||||
\(742\) | −14.9294 | − | 7.60691i | −0.548075 | − | 0.279258i | ||||
\(743\) | 35.5509 | − | 35.5509i | 1.30424 | − | 1.30424i | 0.378730 | − | 0.925507i | \(-0.376361\pi\) |
0.925507 | − | 0.378730i | \(-0.123639\pi\) | |||||||
\(744\) | 2.56114 | − | 0.239228i | 0.0938960 | − | 0.00877054i | ||||
\(745\) | −5.07746 | − | 33.5563i | −0.186024 | − | 1.22941i | ||||
\(746\) | 35.7760 | + | 11.6243i | 1.30985 | + | 0.425597i | ||||
\(747\) | −32.2023 | + | 0.940376i | −1.17822 | + | 0.0344066i | ||||
\(748\) | 3.66749 | + | 0.580873i | 0.134097 | + | 0.0212388i | ||||
\(749\) | −19.9226 | −0.727958 | ||||||||
\(750\) | −16.5730 | + | 10.0168i | −0.605159 | + | 0.365763i | ||||
\(751\) | 13.6190 | 0.496964 | 0.248482 | − | 0.968636i | \(-0.420068\pi\) | ||||
0.248482 | + | 0.968636i | \(0.420068\pi\) | |||||||
\(752\) | 11.4118 | + | 1.80746i | 0.416147 | + | 0.0659112i | ||||
\(753\) | −23.2089 | + | 5.93157i | −0.845781 | + | 0.216158i | ||||
\(754\) | 5.60695 | + | 1.82181i | 0.204193 | + | 0.0663463i | ||||
\(755\) | 4.38172 | + | 28.9583i | 0.159467 | + | 1.05390i | ||||
\(756\) | 19.1989 | + | 6.98439i | 0.698256 | + | 0.254020i | ||||
\(757\) | 18.1299 | − | 18.1299i | 0.658942 | − | 0.658942i | −0.296188 | − | 0.955130i | \(-0.595715\pi\) |
0.955130 | + | 0.296188i | \(0.0957154\pi\) | |||||||
\(758\) | 14.4898 | + | 7.38292i | 0.526293 | + | 0.268160i | ||||
\(759\) | −31.6082 | − | 35.9328i | −1.14730 | − | 1.30428i | ||||
\(760\) | 0.0766500 | − | 11.0968i | 0.00278039 | − | 0.402524i | ||||
\(761\) | −20.5807 | − | 28.3270i | −0.746052 | − | 1.02685i | −0.998248 | − | 0.0591757i | \(-0.981153\pi\) |
0.252196 | − | 0.967676i | \(-0.418847\pi\) | |||||||
\(762\) | −33.1390 | − | 2.12190i | −1.20050 | − | 0.0768683i | ||||
\(763\) | 6.19733 | + | 39.1284i | 0.224358 | + | 1.41654i | ||||
\(764\) | 0.481552 | − | 0.349868i | 0.0174219 | − | 0.0126578i | ||||
\(765\) | 6.92164 | − | 1.25500i | 0.250253 | − | 0.0453745i | ||||
\(766\) | −25.6681 | − | 18.6490i | −0.927426 | − | 0.673814i | ||||
\(767\) | 6.08587 | − | 11.9442i | 0.219748 | − | 0.431280i | ||||
\(768\) | 1.46345 | − | 0.926454i | 0.0528077 | − | 0.0334305i | ||||
\(769\) | −23.9043 | + | 7.76696i | −0.862010 | + | 0.280084i | −0.706468 | − | 0.707745i | \(-0.749712\pi\) |
−0.155542 | + | 0.987829i | \(0.549712\pi\) | |||||||
\(770\) | 5.08218 | − | 30.7131i | 0.183149 | − | 1.10682i | ||||
\(771\) | 16.2344 | − | 27.3815i | 0.584669 | − | 0.986119i | ||||
\(772\) | −10.0023 | − | 19.6306i | −0.359991 | − | 0.706522i | ||||
\(773\) | 4.41320 | − | 27.8639i | 0.158732 | − | 1.00219i | −0.771769 | − | 0.635903i | \(-0.780628\pi\) |
0.930501 | − | 0.366290i | \(-0.119372\pi\) | |||||||
\(774\) | 31.6384 | + | 14.9739i | 1.13722 | + | 0.538224i | ||||
\(775\) | −4.28123 | − | 6.06712i | −0.153786 | − | 0.217938i | ||||
\(776\) | 15.9383i | 0.572151i | ||||||||
\(777\) | 6.86672 | + | 2.72756i | 0.246342 | + | 0.0978506i | ||||
\(778\) | 9.83601 | − | 5.01170i | 0.352638 | − | 0.179678i | ||||
\(779\) | −1.80483 | + | 5.55469i | −0.0646647 | + | 0.199018i | ||||
\(780\) | 1.98000 | + | 7.97659i | 0.0708955 | + | 0.285608i | ||||
\(781\) | −2.85090 | − | 8.77417i | −0.102013 | − | 0.313964i | ||||
\(782\) | −5.78590 | − | 5.78590i | −0.206903 | − | 0.206903i | ||||
\(783\) | 13.0825 | − | 6.10298i | 0.467530 | − | 0.218103i | ||||
\(784\) | 4.97175 | − | 6.84302i | 0.177562 | − | 0.244394i | ||||
\(785\) | −15.6048 | − | 11.5031i | −0.556959 | − | 0.410562i | ||||
\(786\) | 8.23657 | + | 19.0918i | 0.293789 | + | 0.680981i | ||||
\(787\) | 1.75927 | − | 0.278640i | 0.0627111 | − | 0.00993245i | −0.125000 | − | 0.992157i | \(-0.539893\pi\) |
0.187711 | + | 0.982224i | \(0.439893\pi\) | |||||||
\(788\) | −2.78623 | + | 0.441295i | −0.0992553 | + | 0.0157205i | ||||
\(789\) | 6.04915 | + | 14.0215i | 0.215356 | + | 0.499178i | ||||
\(790\) | 10.7144 | − | 32.2166i | 0.381201 | − | 1.14622i | ||||
\(791\) | 8.69603 | − | 11.9691i | 0.309195 | − | 0.425571i | ||||
\(792\) | 6.49218 | + | 8.40818i | 0.230690 | + | 0.298772i | ||||
\(793\) | 2.02742 | + | 2.02742i | 0.0719957 | + | 0.0719957i | ||||
\(794\) | −4.61434 | − | 14.2015i | −0.163757 | − | 0.503991i | ||||
\(795\) | −12.6328 | − | 10.6225i | −0.448039 | − | 0.376742i | ||||
\(796\) | 3.23939 | − | 9.96982i | 0.114817 | − | 0.353371i | ||||
\(797\) | 36.0903 | − | 18.3889i | 1.27839 | − | 0.651370i | 0.322907 | − | 0.946431i | \(-0.395340\pi\) |
0.955478 | + | 0.295061i | \(0.0953400\pi\) | |||||||
\(798\) | 31.4090 | + | 12.4761i | 1.11187 | + | 0.441649i | ||||
\(799\) | 12.1161i | 0.428636i | ||||||||
\(800\) | −4.42325 | − | 2.33128i | −0.156386 | − | 0.0824231i | ||||
\(801\) | −3.39667 | + | 7.17684i | −0.120015 | + | 0.253581i | ||||
\(802\) | 1.99412 | − | 12.5904i | 0.0704147 | − | 0.444581i | ||||
\(803\) | −14.3635 | − | 28.1899i | −0.506876 | − | 0.994799i | ||||
\(804\) | 8.22017 | − | 13.8644i | 0.289903 | − | 0.488958i | ||||
\(805\) | −48.8417 | + | 48.1716i | −1.72144 | + | 1.69783i | ||||
\(806\) | −2.99723 | + | 0.973861i | −0.105573 | + | 0.0343028i | ||||
\(807\) | 0.223414 | − | 0.141435i | 0.00786456 | − | 0.00497875i | ||||
\(808\) | −1.26441 | + | 2.48154i | −0.0444816 | + | 0.0873001i | ||||
\(809\) | −9.80668 | − | 7.12497i | −0.344784 | − | 0.250501i | 0.401893 | − | 0.915686i | \(-0.368352\pi\) |
−0.746678 | + | 0.665186i | \(0.768352\pi\) | |||||||
\(810\) | 16.8683 | + | 10.9755i | 0.592691 | + | 0.385639i | ||||
\(811\) | −34.3371 | + | 24.9474i | −1.20574 | + | 0.876020i | −0.994837 | − | 0.101487i | \(-0.967640\pi\) |
−0.210902 | + | 0.977507i | \(0.567640\pi\) | |||||||
\(812\) | −1.70876 | − | 10.7887i | −0.0599656 | − | 0.378608i | ||||
\(813\) | 21.2495 | + | 1.36061i | 0.745254 | + | 0.0477187i | ||||
\(814\) | 2.25818 | + | 3.10812i | 0.0791493 | + | 0.108940i | ||||
\(815\) | 10.5061 | − | 3.33359i | 0.368013 | − | 0.116771i | ||||
\(816\) | 1.19963 | + | 1.36376i | 0.0419953 | + | 0.0477411i | ||||
\(817\) | 51.5927 | + | 26.2878i | 1.80500 | + | 0.919693i | ||||
\(818\) | 19.0319 | − | 19.0319i | 0.665434 | − | 0.665434i | ||||
\(819\) | −24.8255 | − | 3.19225i | −0.867474 | − | 0.111546i | ||||
\(820\) | 1.84790 | + | 1.87361i | 0.0645316 | + | 0.0654293i | ||||
\(821\) | 32.4922 | + | 10.5573i | 1.13398 | + | 0.368454i | 0.815089 | − | 0.579336i | \(-0.196688\pi\) |
0.318896 | + | 0.947790i | \(0.396688\pi\) | |||||||
\(822\) | −14.1059 | + | 3.60507i | −0.491999 | + | 0.125741i | ||||
\(823\) | −0.223643 | − | 0.0354216i | −0.00779572 | − | 0.00123472i | 0.152535 | − | 0.988298i | \(-0.451256\pi\) |
−0.160331 | + | 0.987063i | \(0.551256\pi\) | |||||||
\(824\) | 11.2010 | 0.390206 | ||||||||
\(825\) | 11.7131 | − | 28.3405i | 0.407797 | − | 0.986691i | ||||
\(826\) | −24.8372 | −0.864198 | ||||||||
\(827\) | −6.61308 | − | 1.04741i | −0.229959 | − | 0.0364220i | 0.0403912 | − | 0.999184i | \(-0.487140\pi\) |
−0.270351 | + | 0.962762i | \(0.587140\pi\) | |||||||
\(828\) | −0.683297 | − | 23.3989i | −0.0237462 | − | 0.813167i | ||||
\(829\) | 33.2782 | + | 10.8127i | 1.15580 | + | 0.375542i | 0.823325 | − | 0.567570i | \(-0.192116\pi\) |
0.332475 | + | 0.943112i | \(0.392116\pi\) | |||||||
\(830\) | −11.0489 | + | 21.3194i | −0.383514 | + | 0.740008i | ||||
\(831\) | −7.50714 | + | 0.701219i | −0.260420 | + | 0.0243250i | ||||
\(832\) | −1.50051 | + | 1.50051i | −0.0520210 | + | 0.0520210i | ||||
\(833\) | 7.90311 | + | 4.02683i | 0.273826 | + | 0.139522i | ||||
\(834\) | 3.46502 | − | 3.04799i | 0.119984 | − | 0.105543i | ||||
\(835\) | −17.4683 | − | 5.80950i | −0.604516 | − | 0.201046i | ||||
\(836\) | 10.3291 | + | 14.2168i | 0.357241 | + | 0.491700i | ||||
\(837\) | −3.74015 | + | 6.74991i | −0.129278 | + | 0.233311i | ||||
\(838\) | −3.02247 | − | 19.0831i | −0.104410 | − | 0.659216i | ||||
\(839\) | −27.8283 | + | 20.2184i | −0.960739 | + | 0.698018i | −0.953322 | − | 0.301955i | \(-0.902361\pi\) |
−0.00741655 | + | 0.999972i | \(0.502361\pi\) | |||||||
\(840\) | 11.5027 | − | 9.97821i | 0.396880 | − | 0.344281i | ||||
\(841\) | 17.2171 | + | 12.5090i | 0.593695 | + | 0.431344i | ||||
\(842\) | 3.16961 | − | 6.22070i | 0.109232 | − | 0.214380i | ||||
\(843\) | 20.5008 | + | 32.3836i | 0.706086 | + | 1.11535i | ||||
\(844\) | 2.00972 | − | 0.652997i | 0.0691774 | − | 0.0224771i | ||||
\(845\) | 8.50853 | + | 16.9880i | 0.292702 | + | 0.584405i | ||||
\(846\) | −23.7840 | + | 25.2149i | −0.817712 | + | 0.866907i | ||||
\(847\) | 2.74605 | + | 5.38942i | 0.0943554 | + | 0.185183i | ||||
\(848\) | 0.666670 | − | 4.20919i | 0.0228935 | − | 0.144544i | ||||
\(849\) | −13.2109 | − | 2.96841i | −0.453398 | − | 0.101875i | ||||
\(850\) | 1.68897 | − | 4.96373i | 0.0579312 | − | 0.170254i | ||||
\(851\) | − | 8.46599i | − | 0.290210i | ||||||
\(852\) | 1.66590 | − | 4.19398i | 0.0570730 | − | 0.143683i | ||||
\(853\) | −26.7503 | + | 13.6300i | −0.915914 | + | 0.466682i | −0.847392 | − | 0.530968i | \(-0.821828\pi\) |
−0.0685222 | + | 0.997650i | \(0.521828\pi\) | |||||||
\(854\) | 1.64160 | − | 5.05233i | 0.0561745 | − | 0.172887i | ||||
\(855\) | 27.3626 | + | 18.9631i | 0.935780 | + | 0.648523i | ||||
\(856\) | −1.56584 | − | 4.81915i | −0.0535192 | − | 0.164715i | ||||
\(857\) | −4.67908 | − | 4.67908i | −0.159834 | − | 0.159834i | 0.622659 | − | 0.782493i | \(-0.286052\pi\) |
−0.782493 | + | 0.622659i | \(0.786052\pi\) | |||||||
\(858\) | −10.0189 | − | 8.30708i | −0.342038 | − | 0.283599i | ||||
\(859\) | 10.4601 | − | 14.3971i | 0.356895 | − | 0.491224i | −0.592385 | − | 0.805655i | \(-0.701814\pi\) |
0.949280 | + | 0.314431i | \(0.101814\pi\) | |||||||
\(860\) | 21.2124 | − | 15.1890i | 0.723336 | − | 0.517939i | ||||
\(861\) | −7.35882 | + | 3.17474i | −0.250788 | + | 0.108195i | ||||
\(862\) | −11.9173 | + | 1.88752i | −0.405906 | + | 0.0642892i | ||||
\(863\) | −39.7649 | + | 6.29813i | −1.35361 | + | 0.214391i | −0.790739 | − | 0.612153i | \(-0.790304\pi\) |
−0.562872 | + | 0.826544i | \(0.690304\pi\) | |||||||
\(864\) | −0.180525 | + | 5.19302i | −0.00614159 | + | 0.176670i | ||||
\(865\) | 10.2015 | + | 0.0704659i | 0.346862 | + | 0.00239591i | ||||
\(866\) | −14.3388 | + | 19.7357i | −0.487254 | + | 0.670647i | ||||
\(867\) | 17.5784 | − | 21.2006i | 0.596992 | − | 0.720010i | ||||
\(868\) | 4.12883 | + | 4.12883i | 0.140142 | + | 0.140142i | ||||
\(869\) | 16.6142 | + | 51.1332i | 0.563598 | + | 1.73458i | ||||
\(870\) | 0.761707 | − | 10.7330i | 0.0258243 | − | 0.363881i | ||||
\(871\) | −6.10224 | + | 18.7808i | −0.206767 | + | 0.636362i | ||||
\(872\) | −8.97781 | + | 4.57442i | −0.304027 | + | 0.154909i | ||||
\(873\) | −39.4869 | − | 26.9637i | −1.33643 | − | 0.912584i | ||||
\(874\) | − | 38.7242i | − | 1.30987i | ||||||
\(875\) | −41.5161 | − | 14.4471i | −1.40350 | − | 0.488401i | ||||
\(876\) | 3.39271 | − | 15.0993i | 0.114629 | − | 0.510157i | ||||
\(877\) | 5.43919 | − | 34.3417i | 0.183668 | − | 1.15964i | −0.707753 | − | 0.706460i | \(-0.750291\pi\) |
0.891421 | − | 0.453176i | \(-0.149709\pi\) | |||||||
\(878\) | −3.36553 | − | 6.60523i | −0.113581 | − | 0.222916i | ||||
\(879\) | 11.9966 | + | 7.11275i | 0.404634 | + | 0.239907i | ||||
\(880\) | 7.82873 | − | 1.18458i | 0.263906 | − | 0.0399321i | ||||
\(881\) | −23.3423 | + | 7.58438i | −0.786423 | + | 0.255524i | −0.674580 | − | 0.738202i | \(-0.735675\pi\) |
−0.111843 | + | 0.993726i | \(0.535675\pi\) | |||||||
\(882\) | 8.54251 | + | 23.8942i | 0.287641 | + | 0.804559i | ||||
\(883\) | −10.4732 | + | 20.5549i | −0.352452 | + | 0.691726i | −0.997366 | − | 0.0725286i | \(-0.976893\pi\) |
0.644914 | + | 0.764255i | \(0.276893\pi\) | |||||||
\(884\) | −1.80028 | − | 1.30798i | −0.0605499 | − | 0.0439921i | ||||
\(885\) | −23.8334 | − | 5.52841i | −0.801151 | − | 0.185836i | ||||
\(886\) | −0.588493 | + | 0.427565i | −0.0197708 | + | 0.0143643i | ||||
\(887\) | 8.06436 | + | 50.9164i | 0.270775 | + | 1.70960i | 0.630202 | + | 0.776431i | \(0.282972\pi\) |
−0.359428 | + | 0.933173i | \(0.617028\pi\) | |||||||
\(888\) | −0.120081 | + | 1.87539i | −0.00402967 | + | 0.0629339i | ||||
\(889\) | −44.3067 | − | 60.9829i | −1.48600 | − | 2.04530i | ||||
\(890\) | 3.44546 | + | 4.81181i | 0.115492 | + | 0.161292i | ||||
\(891\) | −31.8144 | + | 1.85968i | −1.06582 | + | 0.0623016i | ||||
\(892\) | −9.48721 | − | 4.83398i | −0.317655 | − | 0.161854i | ||||
\(893\) | −40.5457 | + | 40.5457i | −1.35681 | + | 1.35681i | ||||
\(894\) | 2.44489 | + | 26.1745i | 0.0817692 | + | 0.875408i | ||||
\(895\) | −25.1033 | − | 4.15392i | −0.839112 | − | 0.138850i | ||||
\(896\) | 3.73929 | + | 1.21497i | 0.124921 | + | 0.0405893i | ||||
\(897\) | 7.10149 | + | 27.7866i | 0.237112 | + | 0.927767i | ||||
\(898\) | −29.3299 | − | 4.64540i | −0.978752 | − | 0.155019i | ||||
\(899\) | 4.12595 | 0.137608 | ||||||||
\(900\) | 13.2588 | − | 7.01459i | 0.441960 | − | 0.233820i | ||||
\(901\) | 4.46895 | 0.148882 | ||||||||
\(902\) | −4.11596 | − | 0.651904i | −0.137047 | − | 0.0217060i | ||||
\(903\) | 19.6744 | + | 76.9816i | 0.654722 | + | 2.56179i | ||||
\(904\) | 3.57871 | + | 1.16279i | 0.119026 | + | 0.0386739i | ||||
\(905\) | −13.0543 | + | 6.53832i | −0.433940 | + | 0.217341i | ||||
\(906\) | −2.10987 | − | 22.5880i | −0.0700959 | − | 0.750435i | ||||
\(907\) | −34.2493 | + | 34.2493i | −1.13723 | + | 1.13723i | −0.148284 | + | 0.988945i | \(0.547375\pi\) |
−0.988945 | + | 0.148284i | \(0.952625\pi\) | |||||||
\(908\) | 1.22895 | + | 0.626182i | 0.0407842 | + | 0.0207806i | ||||
\(909\) | −4.00891 | − | 7.33071i | −0.132967 | − | 0.243144i | ||||
\(910\) | −11.0698 | + | 15.0171i | −0.366961 | + | 0.497811i | ||||
\(911\) | −28.4251 | − | 39.1238i | −0.941766 | − | 1.29623i | −0.955089 | − | 0.296318i | \(-0.904241\pi\) |
0.0133232 | − | 0.999911i | \(-0.495759\pi\) | |||||||
\(912\) | −0.549264 | + | 8.57820i | −0.0181879 | + | 0.284053i | ||||
\(913\) | −5.94847 | − | 37.5571i | −0.196865 | − | 1.24296i | ||||
\(914\) | −3.06979 | + | 2.23033i | −0.101540 | + | 0.0737728i | ||||
\(915\) | 2.69983 | − | 4.48274i | 0.0892537 | − | 0.148195i | ||||
\(916\) | 13.4288 | + | 9.75661i | 0.443701 | + | 0.322367i | ||||
\(917\) | −21.4279 | + | 42.0547i | −0.707612 | + | 1.38877i | ||||
\(918\) | −5.40818 | + | 0.664905i | −0.178496 | + | 0.0219452i | ||||
\(919\) | 2.05593 | − | 0.668012i | 0.0678189 | − | 0.0220357i | −0.274911 | − | 0.961470i | \(-0.588648\pi\) |
0.342730 | + | 0.939434i | \(0.388648\pi\) | |||||||
\(920\) | −15.4911 | − | 8.02839i | −0.510728 | − | 0.264688i | ||||
\(921\) | 13.8607 | + | 8.21797i | 0.456724 | + | 0.270791i | ||||
\(922\) | −5.16070 | − | 10.1285i | −0.169959 | − | 0.333563i | ||||
\(923\) | −0.864900 | + | 5.46076i | −0.0284685 | + | 0.179743i | ||||
\(924\) | −5.28640 | + | 23.5272i | −0.173910 | + | 0.773987i | ||||
\(925\) | 4.86715 | − | 2.39583i | 0.160031 | − | 0.0787744i | ||||
\(926\) | − | 14.0652i | − | 0.462212i | ||||||
\(927\) | −18.9494 | + | 27.7504i | −0.622381 | + | 0.911442i | ||||
\(928\) | 2.47540 | − | 1.26128i | 0.0812591 | − | 0.0414036i | ||||
\(929\) | 0.0671055 | − | 0.206530i | 0.00220166 | − | 0.00677602i | −0.949950 | − | 0.312403i | \(-0.898866\pi\) |
0.952151 | + | 0.305627i | \(0.0988661\pi\) | |||||||
\(930\) | 3.04294 | + | 4.88097i | 0.0997818 | + | 0.160053i | ||||
\(931\) | 12.9717 | + | 39.9228i | 0.425130 | + | 1.30842i | ||||
\(932\) | 17.5535 | + | 17.5535i | 0.574984 | + | 0.574984i | ||||
\(933\) | 12.5935 | − | 15.1885i | 0.412291 | − | 0.497249i | ||||
\(934\) | −2.63135 | + | 3.62175i | −0.0861006 | + | 0.118507i | ||||
\(935\) | 2.51115 | + | 7.91413i | 0.0821235 | + | 0.258820i | ||||
\(936\) | −1.17900 | − | 6.25602i | −0.0385368 | − | 0.204484i | ||||
\(937\) | −14.9705 | + | 2.37109i | −0.489065 | + | 0.0774603i | −0.396097 | − | 0.918209i | \(-0.629635\pi\) |
−0.0929682 | + | 0.995669i | \(0.529635\pi\) | |||||||
\(938\) | 36.1372 | − | 5.72357i | 1.17992 | − | 0.186881i | ||||
\(939\) | 38.0615 | − | 16.4205i | 1.24209 | − | 0.535862i | ||||
\(940\) | 7.81377 | + | 24.6258i | 0.254857 | + | 0.803205i | ||||
\(941\) | 17.7384 | − | 24.4148i | 0.578256 | − | 0.795901i | −0.415247 | − | 0.909709i | \(-0.636305\pi\) |
0.993503 | + | 0.113808i | \(0.0363048\pi\) | |||||||
\(942\) | 11.5598 | + | 9.58478i | 0.376640 | + | 0.312289i | ||||
\(943\) | 6.49342 | + | 6.49342i | 0.211455 | + | 0.211455i | ||||
\(944\) | −1.95210 | − | 6.00796i | −0.0635356 | − | 0.195542i | ||||
\(945\) | 5.26112 | + | 45.3785i | 0.171144 | + | 1.47616i | ||||
\(946\) | −12.7670 | + | 39.2926i | −0.415089 | + | 1.27751i | ||||
\(947\) | 15.9210 | − | 8.11213i | 0.517362 | − | 0.263609i | −0.175756 | − | 0.984434i | \(-0.556237\pi\) |
0.693117 | + | 0.720825i | \(0.256237\pi\) | |||||||
\(948\) | −9.70839 | + | 24.4412i | −0.315314 | + | 0.793814i | ||||
\(949\) | 18.9603i | 0.615479i | ||||||||
\(950\) | 22.2628 | − | 10.9588i | 0.722301 | − | 0.355549i | ||||
\(951\) | −22.6757 | − | 5.09509i | −0.735311 | − | 0.165220i | ||||
\(952\) | −0.644974 | + | 4.07220i | −0.0209037 | + | 0.131981i | ||||
\(953\) | −15.1784 | − | 29.7892i | −0.491676 | − | 0.964968i | −0.994905 | − | 0.100815i | \(-0.967855\pi\) |
0.503230 | − | 0.864153i | \(-0.332145\pi\) | |||||||
\(954\) | 9.30037 | + | 8.77260i | 0.301111 | + | 0.284024i | ||||
\(955\) | 1.18171 | + | 0.612427i | 0.0382391 | + | 0.0198177i | ||||
\(956\) | −22.5941 | + | 7.34126i | −0.730744 | + | 0.237433i | ||||
\(957\) | 9.11403 | + | 14.3967i | 0.294615 | + | 0.465380i | ||||
\(958\) | 13.7500 | − | 26.9860i | 0.444244 | − | 0.871877i | ||||
\(959\) | −26.7374 | − | 19.4259i | −0.863396 | − | 0.627294i | ||||
\(960\) | 3.31772 | + | 1.99818i | 0.107079 | + | 0.0644908i | ||||
\(961\) | 23.2952 | − | 16.9249i | 0.751458 | − | 0.545966i | ||||
\(962\) | −0.360169 | − | 2.27402i | −0.0116123 | − | 0.0733173i | ||||
\(963\) | 14.5884 | + | 4.27350i | 0.470105 | + | 0.137712i | ||||
\(964\) | −3.71319 | − | 5.11077i | −0.119594 | − | 0.164607i | ||||
\(965\) | 29.2318 | − | 39.6552i | 0.941006 | − | 1.27655i | ||||
\(966\) | 39.8982 | − | 35.0962i | 1.28370 | − | 1.12920i | ||||
\(967\) | −24.4672 | − | 12.4667i | −0.786814 | − | 0.400902i | 0.0139344 | − | 0.999903i | \(-0.495564\pi\) |
−0.800748 | + | 0.599001i | \(0.795564\pi\) | |||||||
\(968\) | −1.08784 | + | 1.08784i | −0.0349644 | + | 0.0349644i | ||||
\(969\) | −8.97481 | + | 0.838309i | −0.288312 | + | 0.0269304i | ||||
\(970\) | −31.8656 | + | 15.9601i | −1.02314 | + | 0.512447i | ||||
\(971\) | −53.0240 | − | 17.2285i | −1.70162 | − | 0.552890i | −0.712718 | − | 0.701450i | \(-0.752536\pi\) |
−0.988903 | + | 0.148560i | \(0.952536\pi\) | |||||||
\(972\) | −12.5602 | − | 9.23258i | −0.402870 | − | 0.296135i | ||||
\(973\) | 10.3466 | + | 1.63874i | 0.331696 | + | 0.0525355i | ||||
\(974\) | −0.555561 | −0.0178013 | ||||||||
\(975\) | −13.9650 | + | 11.9461i | −0.447238 | + | 0.382583i | ||||
\(976\) | 1.35115 | 0.0432492 | ||||||||
\(977\) | −41.8568 | − | 6.62946i | −1.33912 | − | 0.212095i | −0.554556 | − | 0.832147i | \(-0.687112\pi\) |
−0.784561 | + | 0.620051i | \(0.787112\pi\) | |||||||
\(978\) | −8.27196 | + | 2.11409i | −0.264508 | + | 0.0676010i | ||||
\(979\) | −8.91312 | − | 2.89605i | −0.284865 | − | 0.0925582i | ||||
\(980\) | 18.6599 | + | 3.08771i | 0.596069 | + | 0.0986332i | ||||
\(981\) | 3.85521 | − | 29.9812i | 0.123088 | − | 0.957227i | ||||
\(982\) | 4.47973 | − | 4.47973i | 0.142954 | − | 0.142954i | ||||
\(983\) | −36.2358 | − | 18.4631i | −1.15574 | − | 0.588880i | −0.232310 | − | 0.972642i | \(-0.574628\pi\) |
−0.923432 | + | 0.383761i | \(0.874628\pi\) | |||||||
\(984\) | −1.34632 | − | 1.53053i | −0.0429192 | − | 0.0487914i | ||||
\(985\) | −3.67233 | − | 5.12865i | −0.117010 | − | 0.163412i | ||||
\(986\) | 1.71242 | + | 2.35694i | 0.0545346 | + | 0.0750604i | ||||
\(987\) | −78.5219 | − | 5.02777i | −2.49938 | − | 0.160036i | ||||
\(988\) | −1.64745 | − | 10.4016i | −0.0524123 | − | 0.330918i | ||||
\(989\) | 73.6546 | − | 53.5132i | 2.34208 | − | 1.70162i | ||||
\(990\) | −10.3095 | + | 21.3996i | −0.327659 | + | 0.680124i | ||||
\(991\) | 8.75570 | + | 6.36139i | 0.278134 | + | 0.202076i | 0.718103 | − | 0.695937i | \(-0.245011\pi\) |
−0.439969 | + | 0.898013i | \(0.645011\pi\) | |||||||
\(992\) | −0.674227 | + | 1.32324i | −0.0214067 | + | 0.0420130i | ||||
\(993\) | −10.6279 | + | 6.72814i | −0.337267 | + | 0.213511i | ||||
\(994\) | 9.74243 | − | 3.16551i | 0.309011 | − | 0.100404i | ||||
\(995\) | 23.1766 | − | 3.50689i | 0.734749 | − | 0.111176i | ||||
\(996\) | 9.48592 | − | 15.9992i | 0.300573 | − | 0.506955i | ||||
\(997\) | 1.54339 | + | 3.02908i | 0.0488797 | + | 0.0959319i | 0.914154 | − | 0.405366i | \(-0.132856\pi\) |
−0.865275 | + | 0.501298i | \(0.832856\pi\) | |||||||
\(998\) | −4.11429 | + | 25.9766i | −0.130236 | + | 0.822275i | ||||
\(999\) | −4.44310 | − | 3.47020i | −0.140574 | − | 0.109792i |
(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 | 150.2.l.a.23.7 | yes | 80 | |
3.2 | odd | 2 | inner | 150.2.l.a.23.4 | ✓ | 80 | |
5.2 | odd | 4 | 750.2.l.c.407.1 | 80 | |||
5.3 | odd | 4 | 750.2.l.a.407.10 | 80 | |||
5.4 | even | 2 | 750.2.l.b.593.4 | 80 | |||
15.2 | even | 4 | 750.2.l.c.407.10 | 80 | |||
15.8 | even | 4 | 750.2.l.a.407.1 | 80 | |||
15.14 | odd | 2 | 750.2.l.b.593.7 | 80 | |||
25.9 | even | 10 | 750.2.l.a.293.1 | 80 | |||
25.12 | odd | 20 | inner | 150.2.l.a.137.4 | yes | 80 | |
25.13 | odd | 20 | 750.2.l.b.707.7 | 80 | |||
25.16 | even | 5 | 750.2.l.c.293.10 | 80 | |||
75.38 | even | 20 | 750.2.l.b.707.4 | 80 | |||
75.41 | odd | 10 | 750.2.l.c.293.1 | 80 | |||
75.59 | odd | 10 | 750.2.l.a.293.10 | 80 | |||
75.62 | even | 20 | inner | 150.2.l.a.137.7 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.2.l.a.23.4 | ✓ | 80 | 3.2 | odd | 2 | inner | |
150.2.l.a.23.7 | yes | 80 | 1.1 | even | 1 | trivial | |
150.2.l.a.137.4 | yes | 80 | 25.12 | odd | 20 | inner | |
150.2.l.a.137.7 | yes | 80 | 75.62 | even | 20 | inner | |
750.2.l.a.293.1 | 80 | 25.9 | even | 10 | |||
750.2.l.a.293.10 | 80 | 75.59 | odd | 10 | |||
750.2.l.a.407.1 | 80 | 15.8 | even | 4 | |||
750.2.l.a.407.10 | 80 | 5.3 | odd | 4 | |||
750.2.l.b.593.4 | 80 | 5.4 | even | 2 | |||
750.2.l.b.593.7 | 80 | 15.14 | odd | 2 | |||
750.2.l.b.707.4 | 80 | 75.38 | even | 20 | |||
750.2.l.b.707.7 | 80 | 25.13 | odd | 20 | |||
750.2.l.c.293.1 | 80 | 75.41 | odd | 10 | |||
750.2.l.c.293.10 | 80 | 25.16 | even | 5 | |||
750.2.l.c.407.1 | 80 | 5.2 | odd | 4 | |||
750.2.l.c.407.10 | 80 | 15.2 | even | 4 |