Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(97,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.s (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 727.4 | ||
Character | \(\chi\) | \(=\) | 966.727 |
Dual form | 966.2.s.a.97.4 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{21}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.959493 | + | 0.281733i | −0.678464 | + | 0.199215i | ||||
\(3\) | −0.755750 | + | 0.654861i | −0.436332 | + | 0.378084i | ||||
\(4\) | 0.841254 | − | 0.540641i | 0.420627 | − | 0.270320i | ||||
\(5\) | 0.0153446 | + | 0.106724i | 0.00686231 | + | 0.0477284i | 0.992965 | − | 0.118409i | \(-0.0377795\pi\) |
−0.986103 | + | 0.166138i | \(0.946870\pi\) | |||||||
\(6\) | 0.540641 | − | 0.841254i | 0.220716 | − | 0.343440i | ||||
\(7\) | −1.90691 | + | 1.83403i | −0.720746 | + | 0.693199i | ||||
\(8\) | −0.654861 | + | 0.755750i | −0.231528 | + | 0.267198i | ||||
\(9\) | 0.142315 | − | 0.989821i | 0.0474383 | − | 0.329940i | ||||
\(10\) | −0.0447907 | − | 0.0980779i | −0.0141641 | − | 0.0310150i | ||||
\(11\) | −0.605838 | + | 2.06330i | −0.182667 | + | 0.622107i | 0.816341 | + | 0.577571i | \(0.195999\pi\) |
−0.999008 | + | 0.0445363i | \(0.985819\pi\) | |||||||
\(12\) | −0.281733 | + | 0.959493i | −0.0813292 | + | 0.276982i | ||||
\(13\) | 0.737982 | − | 0.337025i | 0.204679 | − | 0.0934739i | −0.310438 | − | 0.950594i | \(-0.600476\pi\) |
0.515117 | + | 0.857120i | \(0.327748\pi\) | |||||||
\(14\) | 1.31296 | − | 2.29698i | 0.350905 | − | 0.613894i | ||||
\(15\) | −0.0814861 | − | 0.0706081i | −0.0210396 | − | 0.0182309i | ||||
\(16\) | 0.415415 | − | 0.909632i | 0.103854 | − | 0.227408i | ||||
\(17\) | −2.64382 | − | 1.69908i | −0.641221 | − | 0.412088i | 0.179228 | − | 0.983808i | \(-0.442640\pi\) |
−0.820449 | + | 0.571720i | \(0.806276\pi\) | |||||||
\(18\) | 0.142315 | + | 0.989821i | 0.0335439 | + | 0.233303i | ||||
\(19\) | −4.49952 | + | 2.89167i | −1.03226 | + | 0.663393i | −0.943061 | − | 0.332620i | \(-0.892067\pi\) |
−0.0891996 | + | 0.996014i | \(0.528431\pi\) | |||||||
\(20\) | 0.0706081 | + | 0.0814861i | 0.0157884 | + | 0.0182208i | ||||
\(21\) | 0.240114 | − | 2.63483i | 0.0523972 | − | 0.574968i | ||||
\(22\) | − | 2.15040i | − | 0.458467i | ||||||
\(23\) | 3.88448 | − | 2.81262i | 0.809970 | − | 0.586472i | ||||
\(24\) | − | 1.00000i | − | 0.204124i | ||||||
\(25\) | 4.78631 | − | 1.40539i | 0.957262 | − | 0.281078i | ||||
\(26\) | −0.613137 | + | 0.531287i | −0.120246 | + | 0.104194i | ||||
\(27\) | 0.540641 | + | 0.841254i | 0.104046 | + | 0.161899i | ||||
\(28\) | −0.612646 | + | 2.57384i | −0.115779 | + | 0.486411i | ||||
\(29\) | −7.56227 | − | 4.85998i | −1.40428 | − | 0.902475i | −0.404352 | − | 0.914603i | \(-0.632503\pi\) |
−0.999926 | + | 0.0121279i | \(0.996139\pi\) | |||||||
\(30\) | 0.0980779 | + | 0.0447907i | 0.0179065 | + | 0.00817762i | ||||
\(31\) | 5.87795 | + | 5.09327i | 1.05571 | + | 0.914778i | 0.996510 | − | 0.0834678i | \(-0.0265996\pi\) |
0.0592000 | + | 0.998246i | \(0.481145\pi\) | |||||||
\(32\) | −0.142315 | + | 0.989821i | −0.0251579 | + | 0.174977i | ||||
\(33\) | −0.893309 | − | 1.95607i | −0.155505 | − | 0.340509i | ||||
\(34\) | 3.01542 | + | 0.885406i | 0.517140 | + | 0.151846i | ||||
\(35\) | −0.224996 | − | 0.175371i | −0.0380313 | − | 0.0296431i | ||||
\(36\) | −0.415415 | − | 0.909632i | −0.0692358 | − | 0.151605i | ||||
\(37\) | −6.91847 | − | 0.994726i | −1.13739 | − | 0.163532i | −0.452214 | − | 0.891910i | \(-0.649366\pi\) |
−0.685176 | + | 0.728378i | \(0.740275\pi\) | |||||||
\(38\) | 3.50258 | − | 4.04219i | 0.568194 | − | 0.655730i | ||||
\(39\) | −0.337025 | + | 0.737982i | −0.0539672 | + | 0.118172i | ||||
\(40\) | −0.0907052 | − | 0.0582927i | −0.0143418 | − | 0.00921689i | ||||
\(41\) | −10.8479 | + | 1.55970i | −1.69416 | + | 0.243584i | −0.920704 | − | 0.390260i | \(-0.872385\pi\) |
−0.773460 | + | 0.633845i | \(0.781476\pi\) | |||||||
\(42\) | 0.511931 | + | 2.59575i | 0.0789926 | + | 0.400533i | ||||
\(43\) | 3.89938 | − | 3.37883i | 0.594650 | − | 0.515267i | −0.304728 | − | 0.952440i | \(-0.598565\pi\) |
0.899378 | + | 0.437172i | \(0.144020\pi\) | |||||||
\(44\) | 0.605838 | + | 2.06330i | 0.0913336 | + | 0.311054i | ||||
\(45\) | 0.107822 | 0.0160731 | ||||||||
\(46\) | −2.93472 | + | 3.79307i | −0.432701 | + | 0.559258i | ||||
\(47\) | − | 5.19392i | − | 0.757611i | −0.925476 | − | 0.378806i | \(-0.876335\pi\) | ||
0.925476 | − | 0.378806i | \(-0.123665\pi\) | |||||||
\(48\) | 0.281733 | + | 0.959493i | 0.0406646 | + | 0.138491i | ||||
\(49\) | 0.272648 | − | 6.99469i | 0.0389497 | − | 0.999241i | ||||
\(50\) | −4.19649 | + | 2.69692i | −0.593473 | + | 0.381402i | ||||
\(51\) | 3.11073 | − | 0.447255i | 0.435589 | − | 0.0626283i | ||||
\(52\) | 0.438620 | − | 0.682506i | 0.0608257 | − | 0.0946466i | ||||
\(53\) | −5.98440 | − | 2.73298i | −0.822020 | − | 0.375404i | −0.0404192 | − | 0.999183i | \(-0.512869\pi\) |
−0.781601 | + | 0.623779i | \(0.785597\pi\) | |||||||
\(54\) | −0.755750 | − | 0.654861i | −0.102844 | − | 0.0891153i | ||||
\(55\) | −0.229500 | − | 0.0329971i | −0.0309457 | − | 0.00444932i | ||||
\(56\) | −0.137306 | − | 2.64219i | −0.0183483 | − | 0.353077i | ||||
\(57\) | 1.50687 | − | 5.13193i | 0.199590 | − | 0.679741i | ||||
\(58\) | 8.62516 | + | 2.53258i | 1.13254 | + | 0.332544i | ||||
\(59\) | −1.18795 | + | 0.542521i | −0.154659 | + | 0.0706302i | −0.491240 | − | 0.871024i | \(-0.663456\pi\) |
0.336582 | + | 0.941654i | \(0.390729\pi\) | |||||||
\(60\) | −0.106724 | − | 0.0153446i | −0.0137780 | − | 0.00198098i | ||||
\(61\) | −0.503527 | + | 0.581101i | −0.0644700 | + | 0.0744024i | −0.787068 | − | 0.616866i | \(-0.788402\pi\) |
0.722598 | + | 0.691268i | \(0.242948\pi\) | |||||||
\(62\) | −7.07479 | − | 3.23095i | −0.898499 | − | 0.410331i | ||||
\(63\) | 1.54398 | + | 2.14852i | 0.194524 | + | 0.270687i | ||||
\(64\) | −0.142315 | − | 0.989821i | −0.0177894 | − | 0.123728i | ||||
\(65\) | 0.0472927 | + | 0.0735889i | 0.00586594 | + | 0.00912758i | ||||
\(66\) | 1.40821 | + | 1.62517i | 0.173339 | + | 0.200044i | ||||
\(67\) | −3.01781 | − | 10.2777i | −0.368684 | − | 1.25562i | −0.909931 | − | 0.414759i | \(-0.863866\pi\) |
0.541247 | − | 0.840864i | \(-0.317952\pi\) | |||||||
\(68\) | −3.14272 | −0.381111 | ||||||||
\(69\) | −1.09382 | + | 4.66943i | −0.131680 | + | 0.562133i | ||||
\(70\) | 0.265290 | + | 0.104879i | 0.0317082 | + | 0.0125354i | ||||
\(71\) | 1.55575 | − | 0.456809i | 0.184633 | − | 0.0542133i | −0.188109 | − | 0.982148i | \(-0.560236\pi\) |
0.372742 | + | 0.927935i | \(0.378418\pi\) | |||||||
\(72\) | 0.654861 | + | 0.755750i | 0.0771761 | + | 0.0890659i | ||||
\(73\) | 4.28281 | + | 6.66418i | 0.501265 | + | 0.779983i | 0.996028 | − | 0.0890447i | \(-0.0283814\pi\) |
−0.494763 | + | 0.869028i | \(0.664745\pi\) | |||||||
\(74\) | 6.91847 | − | 0.994726i | 0.804256 | − | 0.115635i | ||||
\(75\) | −2.69692 | + | 4.19649i | −0.311413 | + | 0.484569i | ||||
\(76\) | −2.22188 | + | 4.86525i | −0.254868 | + | 0.558082i | ||||
\(77\) | −2.62887 | − | 5.04566i | −0.299588 | − | 0.575006i | ||||
\(78\) | 0.115460 | − | 0.803039i | 0.0130732 | − | 0.0909263i | ||||
\(79\) | 0.0576276 | − | 0.0263176i | 0.00648361 | − | 0.00296096i | −0.412171 | − | 0.911107i | \(-0.635229\pi\) |
0.418654 | + | 0.908146i | \(0.362502\pi\) | |||||||
\(80\) | 0.103454 | + | 0.0303768i | 0.0115665 | + | 0.00339623i | ||||
\(81\) | −0.959493 | − | 0.281733i | −0.106610 | − | 0.0313036i | ||||
\(82\) | 9.96911 | − | 4.55274i | 1.10090 | − | 0.502766i | ||||
\(83\) | 0.979751 | − | 6.81432i | 0.107542 | − | 0.747969i | −0.862680 | − | 0.505750i | \(-0.831216\pi\) |
0.970222 | − | 0.242219i | \(-0.0778751\pi\) | |||||||
\(84\) | −1.22250 | − | 2.34638i | −0.133386 | − | 0.256011i | ||||
\(85\) | 0.140764 | − | 0.308231i | 0.0152680 | − | 0.0334324i | ||||
\(86\) | −2.78950 | + | 4.34055i | −0.300800 | + | 0.468054i | ||||
\(87\) | 8.89779 | − | 1.27931i | 0.953944 | − | 0.137156i | ||||
\(88\) | −1.16260 | − | 1.80903i | −0.123933 | − | 0.192844i | ||||
\(89\) | −9.03413 | − | 10.4259i | −0.957616 | − | 1.10515i | −0.994385 | − | 0.105824i | \(-0.966252\pi\) |
0.0367687 | − | 0.999324i | \(-0.488294\pi\) | |||||||
\(90\) | −0.103454 | + | 0.0303768i | −0.0109050 | + | 0.00320200i | ||||
\(91\) | −0.789153 | + | 1.99616i | −0.0827258 | + | 0.209254i | ||||
\(92\) | 1.74721 | − | 4.46623i | 0.182160 | − | 0.465637i | ||||
\(93\) | −7.77764 | −0.806504 | ||||||||
\(94\) | 1.46330 | + | 4.98353i | 0.150928 | + | 0.514012i | ||||
\(95\) | −0.377653 | − | 0.435835i | −0.0387464 | − | 0.0447158i | ||||
\(96\) | −0.540641 | − | 0.841254i | −0.0551789 | − | 0.0858601i | ||||
\(97\) | −0.499783 | − | 3.47606i | −0.0507452 | − | 0.352941i | −0.999336 | − | 0.0364356i | \(-0.988400\pi\) |
0.948591 | − | 0.316505i | \(-0.102509\pi\) | |||||||
\(98\) | 1.70903 | + | 6.78817i | 0.172638 | + | 0.685709i | ||||
\(99\) | 1.95607 | + | 0.893309i | 0.196593 | + | 0.0897810i | ||||
\(100\) | 3.26669 | − | 3.76996i | 0.326669 | − | 0.376996i | ||||
\(101\) | 7.95327 | + | 1.14351i | 0.791380 | + | 0.113783i | 0.526139 | − | 0.850399i | \(-0.323639\pi\) |
0.265242 | + | 0.964182i | \(0.414548\pi\) | |||||||
\(102\) | −2.85872 | + | 1.30553i | −0.283055 | + | 0.129267i | ||||
\(103\) | −16.7913 | − | 4.93038i | −1.65450 | − | 0.485804i | −0.684519 | − | 0.728995i | \(-0.739988\pi\) |
−0.969979 | + | 0.243191i | \(0.921806\pi\) | |||||||
\(104\) | −0.228569 | + | 0.778434i | −0.0224130 | + | 0.0763317i | ||||
\(105\) | 0.284884 | − | 0.0148045i | 0.0278019 | − | 0.00144477i | ||||
\(106\) | 6.51196 | + | 0.936278i | 0.632497 | + | 0.0909394i | ||||
\(107\) | −8.08932 | − | 7.00944i | −0.782024 | − | 0.677628i | 0.169387 | − | 0.985550i | \(-0.445821\pi\) |
−0.951412 | + | 0.307922i | \(0.900367\pi\) | |||||||
\(108\) | 0.909632 | + | 0.415415i | 0.0875294 | + | 0.0399733i | ||||
\(109\) | 4.40545 | − | 6.85501i | 0.421965 | − | 0.656591i | −0.563569 | − | 0.826069i | \(-0.690572\pi\) |
0.985534 | + | 0.169478i | \(0.0542083\pi\) | |||||||
\(110\) | 0.229500 | − | 0.0329971i | 0.0218819 | − | 0.00314615i | ||||
\(111\) | 5.88004 | − | 3.77887i | 0.558109 | − | 0.358675i | ||||
\(112\) | 0.876134 | + | 2.49648i | 0.0827869 | + | 0.235895i | ||||
\(113\) | −4.80510 | − | 16.3647i | −0.452026 | − | 1.53946i | −0.798851 | − | 0.601529i | \(-0.794559\pi\) |
0.346825 | − | 0.937930i | \(-0.387260\pi\) | |||||||
\(114\) | 5.34859i | 0.500941i | ||||||||
\(115\) | 0.359780 | + | 0.371409i | 0.0335496 | + | 0.0346340i | ||||
\(116\) | −8.98929 | −0.834635 | ||||||||
\(117\) | −0.228569 | − | 0.778434i | −0.0211312 | − | 0.0719662i | ||||
\(118\) | 0.986988 | − | 0.855230i | 0.0908597 | − | 0.0787303i | ||||
\(119\) | 8.15772 | − | 1.60885i | 0.747817 | − | 0.147483i | ||||
\(120\) | 0.106724 | − | 0.0153446i | 0.00974253 | − | 0.00140076i | ||||
\(121\) | 5.36364 | + | 3.44700i | 0.487604 | + | 0.313364i | ||||
\(122\) | 0.319416 | − | 0.699422i | 0.0289185 | − | 0.0633227i | ||||
\(123\) | 7.17695 | − | 8.28264i | 0.647123 | − | 0.746820i | ||||
\(124\) | 7.69847 | + | 1.10687i | 0.691343 | + | 0.0994002i | ||||
\(125\) | 0.447386 | + | 0.979639i | 0.0400154 | + | 0.0876215i | ||||
\(126\) | −2.08675 | − | 1.62650i | −0.185902 | − | 0.144900i | ||||
\(127\) | −5.81926 | − | 1.70869i | −0.516376 | − | 0.151622i | 0.0131530 | − | 0.999913i | \(-0.495813\pi\) |
−0.529529 | + | 0.848292i | \(0.677631\pi\) | |||||||
\(128\) | 0.415415 | + | 0.909632i | 0.0367178 | + | 0.0804009i | ||||
\(129\) | −0.734291 | + | 5.10711i | −0.0646507 | + | 0.449656i | ||||
\(130\) | −0.0661094 | − | 0.0572841i | −0.00579818 | − | 0.00502415i | ||||
\(131\) | −19.2294 | − | 8.78179i | −1.68008 | − | 0.767269i | −0.999398 | − | 0.0346943i | \(-0.988954\pi\) |
−0.680687 | − | 0.732575i | \(-0.738318\pi\) | |||||||
\(132\) | −1.80903 | − | 1.16260i | −0.157456 | − | 0.101191i | ||||
\(133\) | 3.27679 | − | 13.7664i | 0.284134 | − | 1.19370i | ||||
\(134\) | 5.79113 | + | 9.01118i | 0.500278 | + | 0.778447i | ||||
\(135\) | −0.0814861 | + | 0.0706081i | −0.00701320 | + | 0.00607698i | ||||
\(136\) | 3.01542 | − | 0.885406i | 0.258570 | − | 0.0759229i | ||||
\(137\) | 7.58310i | 0.647868i | 0.946080 | + | 0.323934i | \(0.105006\pi\) | ||||
−0.946080 | + | 0.323934i | \(0.894994\pi\) | |||||||
\(138\) | −0.266018 | − | 4.78845i | −0.0226450 | − | 0.407620i | ||||
\(139\) | 14.8628i | 1.26065i | 0.776332 | + | 0.630324i | \(0.217078\pi\) | ||||
−0.776332 | + | 0.630324i | \(0.782922\pi\) | |||||||
\(140\) | −0.284092 | − | 0.0258894i | −0.0240101 | − | 0.00218806i | ||||
\(141\) | 3.40129 | + | 3.92530i | 0.286441 | + | 0.330570i | ||||
\(142\) | −1.36403 | + | 0.876610i | −0.114467 | + | 0.0735635i | ||||
\(143\) | 0.248285 | + | 1.72686i | 0.0207626 | + | 0.144407i | ||||
\(144\) | −0.841254 | − | 0.540641i | −0.0701045 | − | 0.0450534i | ||||
\(145\) | 0.402636 | − | 0.881651i | 0.0334371 | − | 0.0732171i | ||||
\(146\) | −5.98684 | − | 5.18763i | −0.495475 | − | 0.429331i | ||||
\(147\) | 4.37449 | + | 5.46478i | 0.360802 | + | 0.450727i | ||||
\(148\) | −6.35798 | + | 2.90359i | −0.522623 | + | 0.238674i | ||||
\(149\) | −3.30828 | + | 11.2670i | −0.271025 | + | 0.923026i | 0.705696 | + | 0.708514i | \(0.250634\pi\) |
−0.976721 | + | 0.214512i | \(0.931184\pi\) | |||||||
\(150\) | 1.40539 | − | 4.78631i | 0.114749 | − | 0.390801i | ||||
\(151\) | 9.86178 | + | 21.5943i | 0.802540 | + | 1.75732i | 0.636619 | + | 0.771179i | \(0.280333\pi\) |
0.165921 | + | 0.986139i | \(0.446940\pi\) | |||||||
\(152\) | 0.761183 | − | 5.29415i | 0.0617401 | − | 0.429412i | ||||
\(153\) | −2.05804 | + | 2.37511i | −0.166383 | + | 0.192016i | ||||
\(154\) | 3.94391 | + | 4.10063i | 0.317809 | + | 0.330438i | ||||
\(155\) | −0.453380 | + | 0.705472i | −0.0364163 | + | 0.0566649i | ||||
\(156\) | 0.115460 | + | 0.803039i | 0.00924417 | + | 0.0642946i | ||||
\(157\) | −4.58505 | + | 2.94663i | −0.365927 | + | 0.235167i | −0.710663 | − | 0.703533i | \(-0.751605\pi\) |
0.344736 | + | 0.938700i | \(0.387968\pi\) | |||||||
\(158\) | −0.0478787 | + | 0.0414871i | −0.00380903 | + | 0.00330054i | ||||
\(159\) | 6.31243 | − | 1.85350i | 0.500608 | − | 0.146992i | ||||
\(160\) | −0.107822 | −0.00852404 | ||||||||
\(161\) | −2.24893 | + | 12.4877i | −0.177241 | + | 0.984168i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | 16.4357 | − | 4.82595i | 1.28734 | − | 0.377997i | 0.434738 | − | 0.900557i | \(-0.356841\pi\) |
0.852603 | + | 0.522560i | \(0.175023\pi\) | |||||||
\(164\) | −8.28264 | + | 7.17695i | −0.646765 | + | 0.560425i | ||||
\(165\) | 0.195053 | − | 0.125353i | 0.0151848 | − | 0.00975870i | ||||
\(166\) | 0.979751 | + | 6.81432i | 0.0760434 | + | 0.528894i | ||||
\(167\) | 0.139867 | − | 0.217637i | 0.0108232 | − | 0.0168412i | −0.835800 | − | 0.549034i | \(-0.814996\pi\) |
0.846623 | + | 0.532193i | \(0.178632\pi\) | |||||||
\(168\) | 1.83403 | + | 1.90691i | 0.141499 | + | 0.147122i | ||||
\(169\) | −8.08216 | + | 9.32731i | −0.621704 | + | 0.717485i | ||||
\(170\) | −0.0482238 | + | 0.335404i | −0.00369859 | + | 0.0257243i | ||||
\(171\) | 2.22188 | + | 4.86525i | 0.169912 | + | 0.372055i | ||||
\(172\) | 1.45363 | − | 4.95062i | 0.110839 | − | 0.377481i | ||||
\(173\) | −0.576865 | + | 1.96462i | −0.0438582 | + | 0.149367i | −0.978511 | − | 0.206194i | \(-0.933892\pi\) |
0.934653 | + | 0.355561i | \(0.115710\pi\) | |||||||
\(174\) | −8.17695 | + | 3.73429i | −0.619893 | + | 0.283096i | ||||
\(175\) | −6.54956 | + | 11.4582i | −0.495100 | + | 0.866159i | ||||
\(176\) | 1.62517 | + | 1.40821i | 0.122501 | + | 0.106148i | ||||
\(177\) | 0.542521 | − | 1.18795i | 0.0407784 | − | 0.0892921i | ||||
\(178\) | 11.6055 | + | 7.45841i | 0.869870 | + | 0.559032i | ||||
\(179\) | 2.15848 | + | 15.0125i | 0.161332 | + | 1.12209i | 0.896126 | + | 0.443800i | \(0.146370\pi\) |
−0.734794 | + | 0.678291i | \(0.762721\pi\) | |||||||
\(180\) | 0.0907052 | − | 0.0582927i | 0.00676077 | − | 0.00434488i | ||||
\(181\) | −8.65526 | − | 9.98870i | −0.643340 | − | 0.742454i | 0.336621 | − | 0.941640i | \(-0.390716\pi\) |
−0.979962 | + | 0.199186i | \(0.936170\pi\) | |||||||
\(182\) | 0.194804 | − | 2.13763i | 0.0144398 | − | 0.158452i | ||||
\(183\) | − | 0.768907i | − | 0.0568392i | ||||||
\(184\) | −0.418157 | + | 4.77757i | −0.0308269 | + | 0.352207i | ||||
\(185\) | − | 0.753631i | − | 0.0554080i | ||||||
\(186\) | 7.46259 | − | 2.19121i | 0.547184 | − | 0.160668i | ||||
\(187\) | 5.10744 | − | 4.42562i | 0.373493 | − | 0.323633i | ||||
\(188\) | −2.80805 | − | 4.36940i | −0.204798 | − | 0.318672i | ||||
\(189\) | −2.57384 | − | 0.612646i | −0.187219 | − | 0.0445634i | ||||
\(190\) | 0.485145 | + | 0.311784i | 0.0351961 | + | 0.0226192i | ||||
\(191\) | 14.8833 | + | 6.79698i | 1.07692 | + | 0.491812i | 0.873272 | − | 0.487232i | \(-0.161994\pi\) |
0.203646 | + | 0.979045i | \(0.434721\pi\) | |||||||
\(192\) | 0.755750 | + | 0.654861i | 0.0545415 | + | 0.0472605i | ||||
\(193\) | −1.59730 | + | 11.1095i | −0.114976 | + | 0.799677i | 0.847982 | + | 0.530026i | \(0.177818\pi\) |
−0.962958 | + | 0.269652i | \(0.913091\pi\) | |||||||
\(194\) | 1.45886 | + | 3.19445i | 0.104740 | + | 0.229348i | ||||
\(195\) | −0.0839319 | − | 0.0246446i | −0.00601049 | − | 0.00176484i | ||||
\(196\) | −3.55225 | − | 6.03171i | −0.253732 | − | 0.430836i | ||||
\(197\) | 3.82658 | + | 8.37904i | 0.272632 | + | 0.596982i | 0.995580 | − | 0.0939216i | \(-0.0299403\pi\) |
−0.722947 | + | 0.690903i | \(0.757213\pi\) | |||||||
\(198\) | −2.12851 | − | 0.306034i | −0.151267 | − | 0.0217489i | ||||
\(199\) | 9.77155 | − | 11.2770i | 0.692687 | − | 0.799403i | −0.295058 | − | 0.955479i | \(-0.595339\pi\) |
0.987745 | + | 0.156076i | \(0.0498844\pi\) | |||||||
\(200\) | −2.07225 | + | 4.53759i | −0.146530 | + | 0.320856i | ||||
\(201\) | 9.01118 | + | 5.79113i | 0.635600 | + | 0.408475i | ||||
\(202\) | −7.95327 | + | 1.14351i | −0.559590 | + | 0.0804570i | ||||
\(203\) | 23.3340 | − | 4.60189i | 1.63772 | − | 0.322990i | ||||
\(204\) | 2.37511 | − | 2.05804i | 0.166291 | − | 0.144092i | ||||
\(205\) | −0.332915 | − | 1.13380i | −0.0232518 | − | 0.0791883i | ||||
\(206\) | 17.5002 | 1.21930 | ||||||||
\(207\) | −2.23117 | − | 4.24522i | −0.155077 | − | 0.295063i | ||||
\(208\) | − | 0.811297i | − | 0.0562533i | ||||||
\(209\) | −3.24038 | − | 11.0357i | −0.224142 | − | 0.763357i | ||||
\(210\) | −0.269174 | + | 0.0944661i | −0.0185748 | + | 0.00651878i | ||||
\(211\) | −7.49440 | + | 4.81636i | −0.515935 | + | 0.331572i | −0.772562 | − | 0.634939i | \(-0.781025\pi\) |
0.256627 | + | 0.966511i | \(0.417389\pi\) | |||||||
\(212\) | −6.51196 | + | 0.936278i | −0.447243 | + | 0.0643038i | ||||
\(213\) | −0.876610 | + | 1.36403i | −0.0600643 | + | 0.0934619i | ||||
\(214\) | 9.73644 | + | 4.44648i | 0.665569 | + | 0.303955i | ||||
\(215\) | 0.420437 | + | 0.364311i | 0.0286736 | + | 0.0248458i | ||||
\(216\) | −0.989821 | − | 0.142315i | −0.0673488 | − | 0.00968330i | ||||
\(217\) | −20.5500 | + | 1.06792i | −1.39502 | + | 0.0724948i | ||||
\(218\) | −2.29572 | + | 7.81849i | −0.155486 | + | 0.529535i | ||||
\(219\) | −7.60084 | − | 2.23181i | −0.513617 | − | 0.150812i | ||||
\(220\) | −0.210907 | + | 0.0963180i | −0.0142193 | + | 0.00649376i | ||||
\(221\) | −2.52373 | − | 0.362857i | −0.169764 | − | 0.0244084i | ||||
\(222\) | −4.57723 | + | 5.28240i | −0.307203 | + | 0.354531i | ||||
\(223\) | −13.8136 | − | 6.30845i | −0.925025 | − | 0.422445i | −0.104805 | − | 0.994493i | \(-0.533422\pi\) |
−0.820220 | + | 0.572048i | \(0.806149\pi\) | |||||||
\(224\) | −1.54398 | − | 2.14852i | −0.103162 | − | 0.143554i | ||||
\(225\) | −0.709920 | − | 4.93760i | −0.0473280 | − | 0.329173i | ||||
\(226\) | 9.22092 | + | 14.3480i | 0.613366 | + | 0.954417i | ||||
\(227\) | 15.2776 | + | 17.6313i | 1.01401 | + | 1.17023i | 0.985333 | + | 0.170644i | \(0.0545849\pi\) |
0.0286799 | + | 0.999589i | \(0.490870\pi\) | |||||||
\(228\) | −1.50687 | − | 5.13193i | −0.0997950 | − | 0.339871i | ||||
\(229\) | −21.5926 | −1.42688 | −0.713438 | − | 0.700718i | \(-0.752863\pi\) | ||||
−0.713438 | + | 0.700718i | \(0.752863\pi\) | |||||||
\(230\) | −0.449844 | − | 0.255002i | −0.0296618 | − | 0.0168144i | ||||
\(231\) | 5.29097 | + | 2.09171i | 0.348120 | + | 0.137624i | ||||
\(232\) | 8.62516 | − | 2.53258i | 0.566270 | − | 0.166272i | ||||
\(233\) | 4.86906 | + | 5.61920i | 0.318983 | + | 0.368126i | 0.892484 | − | 0.451079i | \(-0.148961\pi\) |
−0.573501 | + | 0.819205i | \(0.694415\pi\) | |||||||
\(234\) | 0.438620 | + | 0.682506i | 0.0286735 | + | 0.0446168i | ||||
\(235\) | 0.554316 | − | 0.0796986i | 0.0361596 | − | 0.00519897i | ||||
\(236\) | −0.706062 | + | 1.09865i | −0.0459607 | + | 0.0715163i | ||||
\(237\) | −0.0263176 | + | 0.0576276i | −0.00170951 | + | 0.00374331i | ||||
\(238\) | −7.37401 | + | 3.84198i | −0.477986 | + | 0.249038i | ||||
\(239\) | −4.20074 | + | 29.2168i | −0.271723 | + | 1.88988i | 0.158819 | + | 0.987308i | \(0.449231\pi\) |
−0.430542 | + | 0.902570i | \(0.641678\pi\) | |||||||
\(240\) | −0.0980779 | + | 0.0447907i | −0.00633090 | + | 0.00289123i | ||||
\(241\) | 24.8655 | + | 7.30117i | 1.60173 | + | 0.470310i | 0.956026 | − | 0.293281i | \(-0.0947470\pi\) |
0.645701 | + | 0.763590i | \(0.276565\pi\) | |||||||
\(242\) | −6.11751 | − | 1.79626i | −0.393248 | − | 0.115468i | ||||
\(243\) | 0.909632 | − | 0.415415i | 0.0583529 | − | 0.0266489i | ||||
\(244\) | −0.109427 | + | 0.761081i | −0.00700534 | + | 0.0487232i | ||||
\(245\) | 0.750685 | − | 0.0782326i | 0.0479595 | − | 0.00499810i | ||||
\(246\) | −4.55274 | + | 9.96911i | −0.290272 | + | 0.635607i | ||||
\(247\) | −2.34600 | + | 3.65045i | −0.149272 | + | 0.232272i | ||||
\(248\) | −7.69847 | + | 1.10687i | −0.488854 | + | 0.0702865i | ||||
\(249\) | 3.72198 | + | 5.79152i | 0.235871 | + | 0.367023i | ||||
\(250\) | −0.705260 | − | 0.813913i | −0.0446045 | − | 0.0514764i | ||||
\(251\) | −7.59691 | + | 2.23066i | −0.479513 | + | 0.140798i | −0.512552 | − | 0.858656i | \(-0.671300\pi\) |
0.0330387 | + | 0.999454i | \(0.489482\pi\) | |||||||
\(252\) | 2.46046 | + | 0.972706i | 0.154994 | + | 0.0612747i | ||||
\(253\) | 3.44990 | + | 9.71882i | 0.216893 | + | 0.611017i | ||||
\(254\) | 6.06494 | 0.380548 | ||||||||
\(255\) | 0.0954658 | + | 0.325127i | 0.00597830 | + | 0.0203602i | ||||
\(256\) | −0.654861 | − | 0.755750i | −0.0409288 | − | 0.0472343i | ||||
\(257\) | 7.26871 | + | 11.3103i | 0.453409 | + | 0.705519i | 0.990425 | − | 0.138054i | \(-0.0440846\pi\) |
−0.537015 | + | 0.843572i | \(0.680448\pi\) | |||||||
\(258\) | −0.734291 | − | 5.10711i | −0.0457150 | − | 0.317954i | ||||
\(259\) | 15.0173 | − | 10.7918i | 0.933129 | − | 0.670573i | ||||
\(260\) | 0.0795703 | + | 0.0363385i | 0.00493474 | + | 0.00225362i | ||||
\(261\) | −5.88673 | + | 6.79365i | −0.364380 | + | 0.420517i | ||||
\(262\) | 20.9246 | + | 3.00851i | 1.29273 | + | 0.185866i | ||||
\(263\) | −23.4923 | + | 10.7286i | −1.44860 | + | 0.661553i | −0.975609 | − | 0.219515i | \(-0.929552\pi\) |
−0.472989 | + | 0.881068i | \(0.656825\pi\) | |||||||
\(264\) | 2.06330 | + | 0.605838i | 0.126987 | + | 0.0372868i | ||||
\(265\) | 0.199847 | − | 0.680616i | 0.0122765 | − | 0.0418099i | ||||
\(266\) | 0.734393 | + | 14.1320i | 0.0450285 | + | 0.866486i | ||||
\(267\) | 13.6551 | + | 1.96330i | 0.835678 | + | 0.120152i | ||||
\(268\) | −8.09529 | − | 7.01461i | −0.494499 | − | 0.428486i | ||||
\(269\) | 13.1209 | + | 5.99212i | 0.799996 | + | 0.365346i | 0.773093 | − | 0.634292i | \(-0.218708\pi\) |
0.0269025 | + | 0.999638i | \(0.491436\pi\) | |||||||
\(270\) | 0.0582927 | − | 0.0907052i | 0.00354758 | − | 0.00552014i | ||||
\(271\) | −1.90790 | + | 0.274314i | −0.115897 | + | 0.0166634i | −0.200019 | − | 0.979792i | \(-0.564100\pi\) |
0.0841225 | + | 0.996455i | \(0.473191\pi\) | |||||||
\(272\) | −2.64382 | + | 1.69908i | −0.160305 | + | 0.103022i | ||||
\(273\) | −0.710805 | − | 2.02538i | −0.0430199 | − | 0.122582i | ||||
\(274\) | −2.13641 | − | 7.27594i | −0.129065 | − | 0.439555i | ||||
\(275\) | 10.7270i | 0.646863i | ||||||||
\(276\) | 1.60430 | + | 4.51954i | 0.0965678 | + | 0.272044i | ||||
\(277\) | −3.74743 | −0.225161 | −0.112580 | − | 0.993643i | \(-0.535912\pi\) | ||||
−0.112580 | + | 0.993643i | \(0.535912\pi\) | |||||||
\(278\) | −4.18734 | − | 14.2608i | −0.251140 | − | 0.855305i | ||||
\(279\) | 5.87795 | − | 5.09327i | 0.351903 | − | 0.304926i | ||||
\(280\) | 0.279878 | − | 0.0551971i | 0.0167259 | − | 0.00329866i | ||||
\(281\) | −13.4540 | + | 1.93439i | −0.802597 | + | 0.115396i | −0.531392 | − | 0.847126i | \(-0.678331\pi\) |
−0.271204 | + | 0.962522i | \(0.587422\pi\) | |||||||
\(282\) | −4.36940 | − | 2.80805i | −0.260194 | − | 0.167217i | ||||
\(283\) | 3.26978 | − | 7.15982i | 0.194368 | − | 0.425607i | −0.787206 | − | 0.616691i | \(-0.788473\pi\) |
0.981574 | + | 0.191084i | \(0.0612002\pi\) | |||||||
\(284\) | 1.06181 | − | 1.22539i | 0.0630068 | − | 0.0727137i | ||||
\(285\) | 0.570823 | + | 0.0820719i | 0.0338126 | + | 0.00486152i | ||||
\(286\) | −0.724739 | − | 1.58696i | −0.0428547 | − | 0.0938388i | ||||
\(287\) | 17.8256 | − | 22.8697i | 1.05221 | − | 1.34996i | ||||
\(288\) | 0.959493 | + | 0.281733i | 0.0565387 | + | 0.0166013i | ||||
\(289\) | −2.95913 | − | 6.47960i | −0.174067 | − | 0.381153i | ||||
\(290\) | −0.137937 | + | 0.959374i | −0.00809994 | + | 0.0563364i | ||||
\(291\) | 2.65405 | + | 2.29975i | 0.155583 | + | 0.134813i | ||||
\(292\) | 7.20586 | + | 3.29080i | 0.421691 | + | 0.192580i | ||||
\(293\) | 4.03640 | + | 2.59403i | 0.235809 | + | 0.151545i | 0.653209 | − | 0.757178i | \(-0.273422\pi\) |
−0.417400 | + | 0.908723i | \(0.637059\pi\) | |||||||
\(294\) | −5.73690 | − | 4.01098i | −0.334583 | − | 0.233925i | ||||
\(295\) | −0.0761287 | − | 0.118459i | −0.00443238 | − | 0.00689692i | ||||
\(296\) | 5.28240 | − | 4.57723i | 0.307033 | − | 0.266046i | ||||
\(297\) | −2.06330 | + | 0.605838i | −0.119725 | + | 0.0351543i | ||||
\(298\) | − | 11.7426i | − | 0.680232i | ||||||
\(299\) | 1.91875 | − | 3.38483i | 0.110964 | − | 0.195750i | ||||
\(300\) | 4.98837i | 0.288004i | ||||||||
\(301\) | −1.23890 | + | 13.5947i | −0.0714089 | + | 0.783588i | ||||
\(302\) | −15.5461 | − | 17.9412i | −0.894579 | − | 1.03240i | ||||
\(303\) | −6.75952 | + | 4.34408i | −0.388324 | + | 0.249561i | ||||
\(304\) | 0.761183 | + | 5.29415i | 0.0436569 | + | 0.303640i | ||||
\(305\) | −0.0697439 | − | 0.0448217i | −0.00399352 | − | 0.00256648i | ||||
\(306\) | 1.30553 | − | 2.85872i | 0.0746323 | − | 0.163422i | ||||
\(307\) | −22.3146 | − | 19.3357i | −1.27356 | − | 1.10355i | −0.989468 | − | 0.144749i | \(-0.953762\pi\) |
−0.284092 | − | 0.958797i | \(-0.591692\pi\) | |||||||
\(308\) | −4.93943 | − | 2.82340i | −0.281450 | − | 0.160878i | ||||
\(309\) | 15.9187 | − | 7.26984i | 0.905585 | − | 0.413567i | ||||
\(310\) | 0.236260 | − | 0.804628i | 0.0134187 | − | 0.0456998i | ||||
\(311\) | 5.89455 | − | 20.0750i | 0.334249 | − | 1.13835i | −0.605318 | − | 0.795984i | \(-0.706954\pi\) |
0.939567 | − | 0.342364i | \(-0.111228\pi\) | |||||||
\(312\) | −0.337025 | − | 0.737982i | −0.0190803 | − | 0.0417800i | ||||
\(313\) | 1.61685 | − | 11.2454i | 0.0913898 | − | 0.635630i | −0.891717 | − | 0.452594i | \(-0.850499\pi\) |
0.983106 | − | 0.183035i | \(-0.0585923\pi\) | |||||||
\(314\) | 3.56916 | − | 4.11903i | 0.201419 | − | 0.232450i | ||||
\(315\) | −0.205606 | + | 0.197748i | −0.0115846 | + | 0.0111418i | ||||
\(316\) | 0.0342510 | − | 0.0532956i | 0.00192677 | − | 0.00299811i | ||||
\(317\) | −4.03774 | − | 28.0831i | −0.226782 | − | 1.57730i | −0.711535 | − | 0.702651i | \(-0.751999\pi\) |
0.484753 | − | 0.874651i | \(-0.338910\pi\) | |||||||
\(318\) | −5.53454 | + | 3.55683i | −0.310362 | + | 0.199457i | ||||
\(319\) | 14.6091 | − | 12.6588i | 0.817952 | − | 0.708759i | ||||
\(320\) | 0.103454 | − | 0.0303768i | 0.00578325 | − | 0.00169812i | ||||
\(321\) | 10.7037 | 0.597423 | ||||||||
\(322\) | −1.36035 | − | 12.6154i | −0.0758094 | − | 0.703031i | ||||
\(323\) | 16.8091 | 0.935284 | ||||||||
\(324\) | −0.959493 | + | 0.281733i | −0.0533052 | + | 0.0156518i | ||||
\(325\) | 3.05856 | − | 2.65026i | 0.169658 | − | 0.147010i | ||||
\(326\) | −14.4103 | + | 9.26092i | −0.798111 | + | 0.512915i | ||||
\(327\) | 1.15966 | + | 8.06563i | 0.0641294 | + | 0.446030i | ||||
\(328\) | 5.92515 | − | 9.21972i | 0.327162 | − | 0.509074i | ||||
\(329\) | 9.52582 | + | 9.90436i | 0.525175 | + | 0.546045i | ||||
\(330\) | −0.151836 | + | 0.175228i | −0.00835828 | + | 0.00964597i | ||||
\(331\) | −4.41912 | + | 30.7356i | −0.242897 | + | 1.68938i | 0.394538 | + | 0.918880i | \(0.370905\pi\) |
−0.637435 | + | 0.770504i | \(0.720004\pi\) | |||||||
\(332\) | −2.85988 | − | 6.26226i | −0.156956 | − | 0.343686i | ||||
\(333\) | −1.96920 | + | 6.70649i | −0.107912 | + | 0.367513i | ||||
\(334\) | −0.0728857 | + | 0.248226i | −0.00398813 | + | 0.0135823i | ||||
\(335\) | 1.05057 | − | 0.479780i | 0.0573989 | − | 0.0262132i | ||||
\(336\) | −2.29698 | − | 1.31296i | −0.125311 | − | 0.0716281i | ||||
\(337\) | 2.74700 | + | 2.38029i | 0.149639 | + | 0.129663i | 0.726463 | − | 0.687205i | \(-0.241163\pi\) |
−0.576824 | + | 0.816868i | \(0.695708\pi\) | |||||||
\(338\) | 5.12697 | − | 11.2265i | 0.278870 | − | 0.610641i | ||||
\(339\) | 14.3480 | + | 9.22092i | 0.779278 | + | 0.500812i | ||||
\(340\) | −0.0482238 | − | 0.335404i | −0.00261530 | − | 0.0181898i | ||||
\(341\) | −14.0700 | + | 9.04224i | −0.761934 | + | 0.489665i | ||||
\(342\) | −3.50258 | − | 4.04219i | −0.189398 | − | 0.218577i | ||||
\(343\) | 12.3086 | + | 13.8383i | 0.664600 | + | 0.747199i | ||||
\(344\) | 5.15962i | 0.278188i | ||||||||
\(345\) | −0.515124 | − | 0.0450863i | −0.0277334 | − | 0.00242737i | ||||
\(346\) | − | 2.04756i | − | 0.110078i | ||||||
\(347\) | 19.5569 | − | 5.74243i | 1.04987 | − | 0.308270i | 0.289105 | − | 0.957297i | \(-0.406642\pi\) |
0.760765 | + | 0.649028i | \(0.224824\pi\) | |||||||
\(348\) | 6.79365 | − | 5.88673i | 0.364178 | − | 0.315562i | ||||
\(349\) | −0.314465 | − | 0.489316i | −0.0168329 | − | 0.0261925i | 0.832735 | − | 0.553672i | \(-0.186774\pi\) |
−0.849568 | + | 0.527479i | \(0.823137\pi\) | |||||||
\(350\) | 3.05611 | − | 12.8393i | 0.163356 | − | 0.686289i | ||||
\(351\) | 0.682506 | + | 0.438620i | 0.0364295 | + | 0.0234118i | ||||
\(352\) | −1.95607 | − | 0.893309i | −0.104259 | − | 0.0476135i | ||||
\(353\) | −2.44400 | − | 2.11774i | −0.130081 | − | 0.112716i | 0.587391 | − | 0.809304i | \(-0.300155\pi\) |
−0.717472 | + | 0.696588i | \(0.754701\pi\) | |||||||
\(354\) | −0.185859 | + | 1.29268i | −0.00987831 | + | 0.0687052i | ||||
\(355\) | 0.0726248 | + | 0.159026i | 0.00385453 | + | 0.00844023i | ||||
\(356\) | −13.2367 | − | 3.88664i | −0.701543 | − | 0.205992i | ||||
\(357\) | −5.11162 | + | 6.55806i | −0.270535 | + | 0.347089i | ||||
\(358\) | −6.30057 | − | 13.7963i | −0.332995 | − | 0.729158i | ||||
\(359\) | −11.3770 | − | 1.63577i | −0.600458 | − | 0.0863328i | −0.164618 | − | 0.986357i | \(-0.552639\pi\) |
−0.435839 | + | 0.900025i | \(0.643548\pi\) | |||||||
\(360\) | −0.0706081 | + | 0.0814861i | −0.00372137 | + | 0.00429469i | ||||
\(361\) | 3.99106 | − | 8.73920i | 0.210056 | − | 0.459958i | ||||
\(362\) | 11.1188 | + | 7.14562i | 0.584391 | + | 0.375566i | ||||
\(363\) | −6.31087 | + | 0.907367i | −0.331235 | + | 0.0476244i | ||||
\(364\) | 0.415328 | + | 2.10593i | 0.0217691 | + | 0.110380i | ||||
\(365\) | −0.645510 | + | 0.559338i | −0.0337876 | + | 0.0292771i | ||||
\(366\) | 0.216626 | + | 0.737761i | 0.0113232 | + | 0.0385634i | ||||
\(367\) | −26.9709 | −1.40787 | −0.703934 | − | 0.710266i | \(-0.748575\pi\) | ||||
−0.703934 | + | 0.710266i | \(0.748575\pi\) | |||||||
\(368\) | −0.944777 | − | 4.70185i | −0.0492499 | − | 0.245101i | ||||
\(369\) | 10.9595i | 0.570529i | ||||||||
\(370\) | 0.212322 | + | 0.723104i | 0.0110381 | + | 0.0375924i | ||||
\(371\) | 16.4241 | − | 5.76402i | 0.852698 | − | 0.299253i | ||||
\(372\) | −6.54297 | + | 4.20491i | −0.339237 | + | 0.218014i | ||||
\(373\) | −9.85540 | + | 1.41699i | −0.510293 | + | 0.0733691i | −0.392652 | − | 0.919687i | \(-0.628442\pi\) |
−0.117641 | + | 0.993056i | \(0.537533\pi\) | |||||||
\(374\) | −3.65371 | + | 5.68528i | −0.188929 | + | 0.293979i | ||||
\(375\) | −0.979639 | − | 0.447386i | −0.0505883 | − | 0.0231029i | ||||
\(376\) | 3.92530 | + | 3.40129i | 0.202432 | + | 0.175408i | ||||
\(377\) | −7.21875 | − | 1.03790i | −0.371785 | − | 0.0534546i | ||||
\(378\) | 2.64219 | − | 0.137306i | 0.135899 | − | 0.00706225i | ||||
\(379\) | −2.11854 | + | 7.21507i | −0.108822 | + | 0.370613i | −0.995840 | − | 0.0911219i | \(-0.970955\pi\) |
0.887018 | + | 0.461735i | \(0.152773\pi\) | |||||||
\(380\) | −0.553333 | − | 0.162473i | −0.0283854 | − | 0.00833470i | ||||
\(381\) | 5.51686 | − | 2.51947i | 0.282637 | − | 0.129076i | ||||
\(382\) | −16.1954 | − | 2.32854i | −0.828627 | − | 0.119139i | ||||
\(383\) | −9.88685 | + | 11.4100i | −0.505194 | + | 0.583025i | −0.949862 | − | 0.312670i | \(-0.898776\pi\) |
0.444667 | + | 0.895696i | \(0.353322\pi\) | |||||||
\(384\) | −0.909632 | − | 0.415415i | −0.0464195 | − | 0.0211991i | ||||
\(385\) | 0.498154 | − | 0.357987i | 0.0253883 | − | 0.0182447i | ||||
\(386\) | −1.59730 | − | 11.1095i | −0.0813005 | − | 0.565457i | ||||
\(387\) | −2.78950 | − | 4.34055i | −0.141798 | − | 0.220643i | ||||
\(388\) | −2.29975 | − | 2.65405i | −0.116752 | − | 0.134739i | ||||
\(389\) | −5.96465 | − | 20.3137i | −0.302420 | − | 1.02995i | −0.960796 | − | 0.277258i | \(-0.910574\pi\) |
0.658376 | − | 0.752689i | \(-0.271244\pi\) | |||||||
\(390\) | 0.0874753 | 0.00442948 | ||||||||
\(391\) | −15.0487 | + | 0.836019i | −0.761048 | + | 0.0422793i | ||||
\(392\) | 5.10769 | + | 4.78660i | 0.257977 | + | 0.241760i | ||||
\(393\) | 20.2835 | − | 5.95577i | 1.02317 | − | 0.300429i | ||||
\(394\) | −6.03222 | − | 6.96156i | −0.303899 | − | 0.350718i | ||||
\(395\) | 0.00369300 | + | 0.00574641i | 0.000185815 | + | 0.000289133i | ||||
\(396\) | 2.12851 | − | 0.306034i | 0.106962 | − | 0.0153788i | ||||
\(397\) | −4.23088 | + | 6.58338i | −0.212342 | + | 0.330410i | −0.931043 | − | 0.364908i | \(-0.881100\pi\) |
0.718702 | + | 0.695319i | \(0.244737\pi\) | |||||||
\(398\) | −6.19865 | + | 13.5731i | −0.310710 | + | 0.680360i | ||||
\(399\) | 6.53866 | + | 12.5498i | 0.327342 | + | 0.628276i | ||||
\(400\) | 0.709920 | − | 4.93760i | 0.0354960 | − | 0.246880i | ||||
\(401\) | 20.7444 | − | 9.47366i | 1.03593 | − | 0.473092i | 0.176473 | − | 0.984305i | \(-0.443531\pi\) |
0.859454 | + | 0.511213i | \(0.170804\pi\) | |||||||
\(402\) | −10.2777 | − | 3.01781i | −0.512606 | − | 0.150515i | ||||
\(403\) | 6.05438 | + | 1.77773i | 0.301590 | + | 0.0885548i | ||||
\(404\) | 7.30895 | − | 3.33788i | 0.363634 | − | 0.166066i | ||||
\(405\) | 0.0153446 | − | 0.106724i | 0.000762479 | − | 0.00530316i | ||||
\(406\) | −21.0923 | + | 10.9894i | −1.04679 | + | 0.545396i | ||||
\(407\) | 6.24389 | − | 13.6722i | 0.309498 | − | 0.677706i | ||||
\(408\) | −1.69908 | + | 2.64382i | −0.0841171 | + | 0.130889i | ||||
\(409\) | −29.3492 | + | 4.21977i | −1.45122 | + | 0.208654i | −0.822407 | − | 0.568900i | \(-0.807369\pi\) |
−0.628816 | + | 0.777554i | \(0.716460\pi\) | |||||||
\(410\) | 0.638859 | + | 0.994084i | 0.0315510 | + | 0.0490943i | ||||
\(411\) | −4.96588 | − | 5.73093i | −0.244949 | − | 0.282686i | ||||
\(412\) | −16.7913 | + | 4.93038i | −0.827249 | + | 0.242902i | ||||
\(413\) | 1.27033 | − | 3.21329i | 0.0625087 | − | 0.158116i | ||||
\(414\) | 3.33681 | + | 3.44466i | 0.163995 | + | 0.169296i | ||||
\(415\) | 0.742286 | 0.0364374 | ||||||||
\(416\) | 0.228569 | + | 0.778434i | 0.0112065 | + | 0.0381659i | ||||
\(417\) | −9.73309 | − | 11.2326i | −0.476631 | − | 0.550062i | ||||
\(418\) | 6.21824 | + | 9.67577i | 0.304144 | + | 0.473258i | ||||
\(419\) | 3.39690 | + | 23.6260i | 0.165950 | + | 1.15420i | 0.887151 | + | 0.461479i | \(0.152681\pi\) |
−0.721201 | + | 0.692726i | \(0.756410\pi\) | |||||||
\(420\) | 0.231656 | − | 0.166475i | 0.0113037 | − | 0.00812313i | ||||
\(421\) | −30.0395 | − | 13.7186i | −1.46404 | − | 0.668603i | −0.485417 | − | 0.874283i | \(-0.661332\pi\) |
−0.978619 | + | 0.205680i | \(0.934059\pi\) | |||||||
\(422\) | 5.83390 | − | 6.73267i | 0.283990 | − | 0.327741i | ||||
\(423\) | −5.14105 | − | 0.739172i | −0.249967 | − | 0.0359398i | ||||
\(424\) | 5.98440 | − | 2.73298i | 0.290628 | − | 0.132725i | ||||
\(425\) | −15.0420 | − | 4.41674i | −0.729645 | − | 0.214243i | ||||
\(426\) | 0.456809 | − | 1.55575i | 0.0221325 | − | 0.0753763i | ||||
\(427\) | −0.105575 | − | 2.03160i | −0.00510916 | − | 0.0983158i | ||||
\(428\) | −10.5948 | − | 1.52330i | −0.512117 | − | 0.0736313i | ||||
\(429\) | −1.31849 | − | 1.14248i | −0.0636574 | − | 0.0551594i | ||||
\(430\) | −0.506045 | − | 0.231103i | −0.0244037 | − | 0.0111448i | ||||
\(431\) | −4.35676 | + | 6.77924i | −0.209858 | + | 0.326545i | −0.930186 | − | 0.367088i | \(-0.880355\pi\) |
0.720329 | + | 0.693633i | \(0.243991\pi\) | |||||||
\(432\) | 0.989821 | − | 0.142315i | 0.0476228 | − | 0.00684713i | ||||
\(433\) | 18.5693 | − | 11.9337i | 0.892381 | − | 0.573499i | −0.0121403 | − | 0.999926i | \(-0.503864\pi\) |
0.904522 | + | 0.426428i | \(0.140228\pi\) | |||||||
\(434\) | 19.4167 | − | 6.81425i | 0.932031 | − | 0.327095i | ||||
\(435\) | 0.273066 | + | 0.929978i | 0.0130925 | + | 0.0445890i | ||||
\(436\) | − | 8.14857i | − | 0.390246i | ||||||
\(437\) | −9.34513 | + | 23.8880i | −0.447038 | + | 1.14272i | ||||
\(438\) | 7.92173 | 0.378515 | ||||||||
\(439\) | 1.12955 | + | 3.84689i | 0.0539104 | + | 0.183602i | 0.982046 | − | 0.188639i | \(-0.0604077\pi\) |
−0.928136 | + | 0.372241i | \(0.878589\pi\) | |||||||
\(440\) | 0.175228 | − | 0.151836i | 0.00835366 | − | 0.00723848i | ||||
\(441\) | −6.88469 | − | 1.26532i | −0.327842 | − | 0.0602534i | ||||
\(442\) | 2.52373 | − | 0.362857i | 0.120041 | − | 0.0172593i | ||||
\(443\) | −5.57411 | − | 3.58226i | −0.264834 | − | 0.170198i | 0.401484 | − | 0.915866i | \(-0.368494\pi\) |
−0.666318 | + | 0.745668i | \(0.732131\pi\) | |||||||
\(444\) | 2.90359 | − | 6.35798i | 0.137798 | − | 0.301736i | ||||
\(445\) | 0.974074 | − | 1.12414i | 0.0461755 | − | 0.0532894i | ||||
\(446\) | 15.0313 | + | 2.16118i | 0.711753 | + | 0.102335i | ||||
\(447\) | −4.87806 | − | 10.6815i | −0.230725 | − | 0.505216i | ||||
\(448\) | 2.08675 | + | 1.62650i | 0.0985895 | + | 0.0768447i | ||||
\(449\) | 1.07869 | + | 0.316733i | 0.0509066 | + | 0.0149475i | 0.307087 | − | 0.951682i | \(-0.400646\pi\) |
−0.256180 | + | 0.966629i | \(0.582464\pi\) | |||||||
\(450\) | 2.07225 | + | 4.53759i | 0.0976866 | + | 0.213904i | ||||
\(451\) | 3.35398 | − | 23.3275i | 0.157933 | − | 1.09845i | ||||
\(452\) | −12.8897 | − | 11.1690i | −0.606281 | − | 0.525346i | ||||
\(453\) | −21.5943 | − | 9.86178i | −1.01459 | − | 0.463347i | ||||
\(454\) | −19.6261 | − | 12.6129i | −0.921099 | − | 0.591954i | ||||
\(455\) | −0.225148 | − | 0.0535913i | −0.0105551 | − | 0.00251240i | ||||
\(456\) | 2.89167 | + | 4.49952i | 0.135415 | + | 0.210709i | ||||
\(457\) | 27.1983 | − | 23.5675i | 1.27228 | − | 1.10244i | 0.282589 | − | 0.959241i | \(-0.408807\pi\) |
0.989694 | − | 0.143198i | \(-0.0457387\pi\) | |||||||
\(458\) | 20.7179 | − | 6.08333i | 0.968084 | − | 0.284255i | ||||
\(459\) | − | 3.14272i | − | 0.146690i | ||||||
\(460\) | 0.503465 | + | 0.117937i | 0.0234742 | + | 0.00549885i | ||||
\(461\) | − | 34.0796i | − | 1.58724i | −0.608411 | − | 0.793622i | \(-0.708193\pi\) | ||
0.608411 | − | 0.793622i | \(-0.291807\pi\) | |||||||
\(462\) | −5.66595 | − | 0.516342i | −0.263604 | − | 0.0240224i | ||||
\(463\) | 25.9692 | + | 29.9701i | 1.20689 | + | 1.39283i | 0.896986 | + | 0.442059i | \(0.145752\pi\) |
0.309905 | + | 0.950768i | \(0.399703\pi\) | |||||||
\(464\) | −7.56227 | + | 4.85998i | −0.351070 | + | 0.225619i | ||||
\(465\) | −0.119345 | − | 0.830061i | −0.00553448 | − | 0.0384932i | ||||
\(466\) | −6.25494 | − | 4.01981i | −0.289754 | − | 0.186214i | ||||
\(467\) | −4.32963 | + | 9.48056i | −0.200351 | + | 0.438708i | −0.982963 | − | 0.183802i | \(-0.941160\pi\) |
0.782612 | + | 0.622510i | \(0.213887\pi\) | |||||||
\(468\) | −0.613137 | − | 0.531287i | −0.0283423 | − | 0.0245587i | ||||
\(469\) | 24.6044 | + | 14.0640i | 1.13612 | + | 0.649414i | ||||
\(470\) | −0.509409 | + | 0.232639i | −0.0234973 | + | 0.0107308i | ||||
\(471\) | 1.53552 | − | 5.22949i | 0.0707528 | − | 0.240962i | ||||
\(472\) | 0.367935 | − | 1.25307i | 0.0169356 | − | 0.0576773i | ||||
\(473\) | 4.60914 | + | 10.0926i | 0.211928 | + | 0.464059i | ||||
\(474\) | 0.00901602 | − | 0.0627078i | 0.000414119 | − | 0.00288026i | ||||
\(475\) | −17.4722 | + | 20.1640i | −0.801679 | + | 0.925187i | ||||
\(476\) | 5.99290 | − | 5.76385i | 0.274684 | − | 0.264186i | ||||
\(477\) | −3.55683 | + | 5.53454i | −0.162856 | + | 0.253409i | ||||
\(478\) | −4.20074 | − | 29.2168i | −0.192137 | − | 1.33635i | ||||
\(479\) | 24.2858 | − | 15.6075i | 1.10965 | − | 0.713126i | 0.148430 | − | 0.988923i | \(-0.452578\pi\) |
0.961216 | + | 0.275797i | \(0.0889416\pi\) | |||||||
\(480\) | 0.0814861 | − | 0.0706081i | 0.00371931 | − | 0.00322280i | ||||
\(481\) | −5.44095 | + | 1.59761i | −0.248086 | + | 0.0728447i | ||||
\(482\) | −25.9152 | −1.18041 | ||||||||
\(483\) | −6.47806 | − | 10.9103i | −0.294762 | − | 0.496436i | ||||
\(484\) | 6.37577 | 0.289808 | ||||||||
\(485\) | 0.363311 | − | 0.106678i | 0.0164971 | − | 0.00484398i | ||||
\(486\) | −0.755750 | + | 0.654861i | −0.0342815 | + | 0.0297051i | ||||
\(487\) | 13.1390 | − | 8.44395i | 0.595387 | − | 0.382632i | −0.207965 | − | 0.978136i | \(-0.566684\pi\) |
0.803352 | + | 0.595504i | \(0.203048\pi\) | |||||||
\(488\) | −0.109427 | − | 0.761081i | −0.00495352 | − | 0.0344525i | ||||
\(489\) | −9.26092 | + | 14.4103i | −0.418793 | + | 0.651655i | ||||
\(490\) | −0.698236 | + | 0.286556i | −0.0315431 | + | 0.0129453i | ||||
\(491\) | 11.0553 | − | 12.7585i | 0.498918 | − | 0.575782i | −0.449309 | − | 0.893376i | \(-0.648330\pi\) |
0.948226 | + | 0.317595i | \(0.102875\pi\) | |||||||
\(492\) | 1.55970 | − | 10.8479i | 0.0703167 | − | 0.489063i | ||||
\(493\) | 11.7358 | + | 25.6978i | 0.528554 | + | 1.15737i | ||||
\(494\) | 1.22252 | − | 4.16352i | 0.0550038 | − | 0.187326i | ||||
\(495\) | −0.0653224 | + | 0.222468i | −0.00293602 | + | 0.00999918i | ||||
\(496\) | 7.07479 | − | 3.23095i | 0.317667 | − | 0.145074i | ||||
\(497\) | −2.12888 | + | 3.72439i | −0.0954932 | + | 0.167062i | ||||
\(498\) | −5.20288 | − | 4.50832i | −0.233146 | − | 0.202023i | ||||
\(499\) | −2.62586 | + | 5.74984i | −0.117550 | + | 0.257398i | −0.959256 | − | 0.282537i | \(-0.908824\pi\) |
0.841707 | + | 0.539935i | \(0.181551\pi\) | |||||||
\(500\) | 0.905998 | + | 0.582249i | 0.0405175 | + | 0.0260390i | ||||
\(501\) | 0.0368176 | + | 0.256072i | 0.00164489 | + | 0.0114405i | ||||
\(502\) | 6.66074 | − | 4.28060i | 0.297283 | − | 0.191052i | ||||
\(503\) | 3.46540 | + | 3.99928i | 0.154514 | + | 0.178319i | 0.827729 | − | 0.561128i | \(-0.189632\pi\) |
−0.673215 | + | 0.739447i | \(0.735087\pi\) | |||||||
\(504\) | −2.63483 | − | 0.240114i | −0.117365 | − | 0.0106955i | ||||
\(505\) | 0.866352i | 0.0385522i | ||||||||
\(506\) | −6.04826 | − | 8.35319i | −0.268878 | − | 0.371345i | ||||
\(507\) | − | 12.3418i | − | 0.548118i | ||||||
\(508\) | −5.81926 | + | 1.70869i | −0.258188 | + | 0.0758108i | ||||
\(509\) | −15.1555 | + | 13.1323i | −0.671755 | + | 0.582079i | −0.922511 | − | 0.385971i | \(-0.873866\pi\) |
0.250756 | + | 0.968050i | \(0.419321\pi\) | |||||||
\(510\) | −0.183198 | − | 0.285061i | −0.00811212 | − | 0.0126227i | ||||
\(511\) | −20.3893 | − | 4.85321i | −0.901969 | − | 0.214693i | ||||
\(512\) | 0.841254 | + | 0.540641i | 0.0371785 | + | 0.0238932i | ||||
\(513\) | −4.86525 | − | 2.22188i | −0.214806 | − | 0.0980986i | ||||
\(514\) | −10.1608 | − | 8.80435i | −0.448172 | − | 0.388343i | ||||
\(515\) | 0.268534 | − | 1.86769i | 0.0118330 | − | 0.0823003i | ||||
\(516\) | 2.14338 | + | 4.69336i | 0.0943573 | + | 0.206614i | ||||
\(517\) | 10.7166 | + | 3.14668i | 0.471315 | + | 0.138391i | ||||
\(518\) | −11.3686 | + | 14.5856i | −0.499507 | + | 0.640853i | ||||
\(519\) | −0.850587 | − | 1.86253i | −0.0373366 | − | 0.0817559i | ||||
\(520\) | −0.0865849 | − | 0.0124490i | −0.00379700 | − | 0.000545926i | ||||
\(521\) | −5.04471 | + | 5.82190i | −0.221013 | + | 0.255062i | −0.855418 | − | 0.517938i | \(-0.826700\pi\) |
0.634405 | + | 0.773001i | \(0.281245\pi\) | |||||||
\(522\) | 3.73429 | − | 8.17695i | 0.163445 | − | 0.357895i | ||||
\(523\) | −14.1051 | − | 9.06479i | −0.616772 | − | 0.396376i | 0.194619 | − | 0.980879i | \(-0.437653\pi\) |
−0.811391 | + | 0.584503i | \(0.801289\pi\) | |||||||
\(524\) | −20.9246 | + | 3.00851i | −0.914097 | + | 0.131427i | ||||
\(525\) | −2.55370 | − | 12.9486i | −0.111453 | − | 0.565122i | ||||
\(526\) | 19.5181 | − | 16.9126i | 0.851031 | − | 0.737422i | ||||
\(527\) | −6.88637 | − | 23.4528i | −0.299975 | − | 1.02162i | ||||
\(528\) | −2.15040 | −0.0935842 | ||||||||
\(529\) | 7.17835 | − | 21.8511i | 0.312102 | − | 0.950049i | ||||
\(530\) | 0.709349i | 0.0308122i | ||||||||
\(531\) | 0.367935 | + | 1.25307i | 0.0159670 | + | 0.0543787i | ||||
\(532\) | −4.68608 | − | 13.3526i | −0.203167 | − | 0.578909i | ||||
\(533\) | −7.47993 | + | 4.80706i | −0.323992 | + | 0.208217i | ||||
\(534\) | −13.6551 | + | 1.96330i | −0.590913 | + | 0.0849605i | ||||
\(535\) | 0.623948 | − | 0.970882i | 0.0269756 | − | 0.0419749i | ||||
\(536\) | 9.74362 | + | 4.44976i | 0.420860 | + | 0.192201i | ||||
\(537\) | −11.4624 | − | 9.93222i | −0.494639 | − | 0.428607i | ||||
\(538\) | −14.2776 | − | 2.05281i | −0.615551 | − | 0.0885029i | ||||
\(539\) | 14.2669 | + | 4.80020i | 0.614520 | + | 0.206759i | ||||
\(540\) | −0.0303768 | + | 0.103454i | −0.00130721 | + | 0.00445195i | ||||
\(541\) | −25.1273 | − | 7.37805i | −1.08031 | − | 0.317207i | −0.307306 | − | 0.951611i | \(-0.599428\pi\) |
−0.773002 | + | 0.634404i | \(0.781246\pi\) | |||||||
\(542\) | 1.75333 | − | 0.800719i | 0.0753120 | − | 0.0343938i | ||||
\(543\) | 13.0824 | + | 1.88097i | 0.561420 | + | 0.0807201i | ||||
\(544\) | 2.05804 | − | 2.37511i | 0.0882379 | − | 0.101832i | ||||
\(545\) | 0.799194 | + | 0.364980i | 0.0342337 | + | 0.0156340i | ||||
\(546\) | 1.25263 | + | 1.74308i | 0.0536076 | + | 0.0745971i | ||||
\(547\) | −2.34122 | − | 16.2836i | −0.100104 | − | 0.696235i | −0.976637 | − | 0.214895i | \(-0.931059\pi\) |
0.876534 | − | 0.481340i | \(-0.159850\pi\) | |||||||
\(548\) | 4.09974 | + | 6.37931i | 0.175132 | + | 0.272511i | ||||
\(549\) | 0.503527 | + | 0.581101i | 0.0214900 | + | 0.0248008i | ||||
\(550\) | −3.02215 | − | 10.2925i | −0.128865 | − | 0.438873i | ||||
\(551\) | 48.0800 | 2.04828 | ||||||||
\(552\) | −2.81262 | − | 3.88448i | −0.119713 | − | 0.165334i | ||||
\(553\) | −0.0616235 | + | 0.155876i | −0.00262050 | + | 0.00662854i | ||||
\(554\) | 3.59563 | − | 1.05577i | 0.152764 | − | 0.0448554i | ||||
\(555\) | 0.493523 | + | 0.569556i | 0.0209489 | + | 0.0241763i | ||||
\(556\) | 8.03545 | + | 12.5034i | 0.340779 | + | 0.530263i | ||||
\(557\) | −39.1447 | + | 5.62815i | −1.65861 | + | 0.238472i | −0.906999 | − | 0.421132i | \(-0.861633\pi\) |
−0.751613 | + | 0.659604i | \(0.770724\pi\) | |||||||
\(558\) | −4.20491 | + | 6.54297i | −0.178008 | + | 0.276986i | ||||
\(559\) | 1.73892 | − | 3.80771i | 0.0735485 | − | 0.161049i | ||||
\(560\) | −0.252990 | + | 0.131812i | −0.0106908 | + | 0.00557007i | ||||
\(561\) | −0.961779 | + | 6.68932i | −0.0406063 | + | 0.282423i | ||||
\(562\) | 12.3640 | − | 5.64646i | 0.521544 | − | 0.238181i | ||||
\(563\) | 15.9998 | + | 4.69798i | 0.674313 | + | 0.197996i | 0.600923 | − | 0.799307i | \(-0.294800\pi\) |
0.0733904 | + | 0.997303i | \(0.476618\pi\) | |||||||
\(564\) | 4.98353 | + | 1.46330i | 0.209844 | + | 0.0616159i | ||||
\(565\) | 1.67277 | − | 0.763929i | 0.0703740 | − | 0.0321387i | ||||
\(566\) | −1.12018 | + | 7.79100i | −0.0470845 | + | 0.327480i | ||||
\(567\) | 2.34638 | − | 1.22250i | 0.0985386 | − | 0.0513402i | ||||
\(568\) | −0.673565 | + | 1.47490i | −0.0282622 | + | 0.0618855i | ||||
\(569\) | 10.3660 | − | 16.1298i | 0.434564 | − | 0.676194i | −0.553041 | − | 0.833154i | \(-0.686533\pi\) |
0.987605 | + | 0.156959i | \(0.0501692\pi\) | |||||||
\(570\) | −0.570823 | + | 0.0820719i | −0.0239091 | + | 0.00343762i | ||||
\(571\) | 16.3778 | + | 25.4843i | 0.685388 | + | 1.06648i | 0.993355 | + | 0.115087i | \(0.0367148\pi\) |
−0.307968 | + | 0.951397i | \(0.599649\pi\) | |||||||
\(572\) | 1.14248 | + | 1.31849i | 0.0477695 | + | 0.0551289i | ||||
\(573\) | −15.6991 | + | 4.60968i | −0.655840 | + | 0.192572i | ||||
\(574\) | −10.6604 | + | 26.9654i | −0.444955 | + | 1.12551i | ||||
\(575\) | 14.6395 | − | 18.9213i | 0.610509 | − | 0.789071i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | −6.38690 | − | 21.7518i | −0.265890 | − | 0.905538i | −0.978892 | − | 0.204376i | \(-0.934483\pi\) |
0.713002 | − | 0.701162i | \(-0.247335\pi\) | |||||||
\(578\) | 4.66478 | + | 5.38345i | 0.194029 | + | 0.223922i | ||||
\(579\) | −6.06800 | − | 9.44199i | −0.252177 | − | 0.392396i | ||||
\(580\) | −0.137937 | − | 0.959374i | −0.00572753 | − | 0.0398358i | ||||
\(581\) | 10.6294 | + | 14.7912i | 0.440981 | + | 0.613643i | ||||
\(582\) | −3.19445 | − | 1.45886i | −0.132414 | − | 0.0604716i | ||||
\(583\) | 9.26453 | − | 10.6918i | 0.383698 | − | 0.442811i | ||||
\(584\) | −7.84110 | − | 1.12738i | −0.324467 | − | 0.0466513i | ||||
\(585\) | 0.0795703 | − | 0.0363385i | 0.00328983 | − | 0.00150241i | ||||
\(586\) | −4.60372 | − | 1.35177i | −0.190178 | − | 0.0558412i | ||||
\(587\) | 1.79348 | − | 6.10803i | 0.0740248 | − | 0.252105i | −0.914165 | − | 0.405343i | \(-0.867152\pi\) |
0.988189 | + | 0.153238i | \(0.0489702\pi\) | |||||||
\(588\) | 6.63454 | + | 2.23223i | 0.273604 | + | 0.0920558i | ||||
\(589\) | −41.1760 | − | 5.92021i | −1.69663 | − | 0.243938i | ||||
\(590\) | 0.106419 | + | 0.0922122i | 0.00438118 | + | 0.00379632i | ||||
\(591\) | −8.37904 | − | 3.82658i | −0.344668 | − | 0.157404i | ||||
\(592\) | −3.77887 | + | 5.88004i | −0.155311 | + | 0.241668i | ||||
\(593\) | 30.3802 | − | 4.36801i | 1.24756 | − | 0.179373i | 0.513284 | − | 0.858219i | \(-0.328429\pi\) |
0.734280 | + | 0.678846i | \(0.237520\pi\) | |||||||
\(594\) | 1.80903 | − | 1.16260i | 0.0742255 | − | 0.0477019i | ||||
\(595\) | 0.296880 | + | 0.845937i | 0.0121709 | + | 0.0346800i | ||||
\(596\) | 3.30828 | + | 11.2670i | 0.135512 | + | 0.461513i | ||||
\(597\) | 14.9216i | 0.610699i | ||||||||
\(598\) | −0.887412 | + | 3.78829i | −0.0362890 | + | 0.154915i | ||||
\(599\) | −23.5652 | −0.962850 | −0.481425 | − | 0.876487i | \(-0.659881\pi\) | ||||
−0.481425 | + | 0.876487i | \(0.659881\pi\) | |||||||
\(600\) | −1.40539 | − | 4.78631i | −0.0573747 | − | 0.195400i | ||||
\(601\) | 23.8568 | − | 20.6720i | 0.973138 | − | 0.843229i | −0.0145134 | − | 0.999895i | \(-0.504620\pi\) |
0.987652 | + | 0.156666i | \(0.0500745\pi\) | |||||||
\(602\) | −2.64137 | − | 13.3931i | −0.107654 | − | 0.545862i | ||||
\(603\) | −10.6026 | + | 1.52442i | −0.431770 | + | 0.0620792i | ||||
\(604\) | 19.9710 | + | 12.8346i | 0.812609 | + | 0.522232i | ||||
\(605\) | −0.285575 | + | 0.625322i | −0.0116103 | + | 0.0254230i | ||||
\(606\) | 5.26185 | − | 6.07249i | 0.213748 | − | 0.246678i | ||||
\(607\) | −26.8665 | − | 3.86282i | −1.09048 | − | 0.156787i | −0.426463 | − | 0.904505i | \(-0.640240\pi\) |
−0.664016 | + | 0.747718i | \(0.731149\pi\) | |||||||
\(608\) | −2.22188 | − | 4.86525i | −0.0901093 | − | 0.197312i | ||||
\(609\) | −14.6210 | + | 18.7584i | −0.592474 | + | 0.760128i | ||||
\(610\) | 0.0795465 | + | 0.0233570i | 0.00322074 | + | 0.000945696i | ||||
\(611\) | −1.75048 | − | 3.83302i | −0.0708169 | − | 0.155067i | ||||
\(612\) | −0.447255 | + | 3.11073i | −0.0180792 | + | 0.125744i | ||||
\(613\) | −10.1961 | − | 8.83498i | −0.411817 | − | 0.356842i | 0.424178 | − | 0.905579i | \(-0.360563\pi\) |
−0.835995 | + | 0.548737i | \(0.815109\pi\) | |||||||
\(614\) | 26.8582 | + | 12.2657i | 1.08391 | + | 0.495004i | ||||
\(615\) | 0.994084 | + | 0.638859i | 0.0400853 | + | 0.0257613i | ||||
\(616\) | 5.53480 | + | 1.31743i | 0.223003 | + | 0.0530810i | ||||
\(617\) | −4.44720 | − | 6.91997i | −0.179037 | − | 0.278588i | 0.740123 | − | 0.672472i | \(-0.234767\pi\) |
−0.919160 | + | 0.393884i | \(0.871131\pi\) | |||||||
\(618\) | −13.2258 | + | 11.4602i | −0.532018 | + | 0.460997i | ||||
\(619\) | −42.7430 | + | 12.5505i | −1.71799 | + | 0.504446i | −0.984519 | − | 0.175279i | \(-0.943917\pi\) |
−0.733467 | + | 0.679725i | \(0.762099\pi\) | |||||||
\(620\) | 0.838597i | 0.0336789i | ||||||||
\(621\) | 4.46623 | + | 1.74721i | 0.179224 | + | 0.0701133i | ||||
\(622\) | 20.9225i | 0.838915i | ||||||||
\(623\) | 36.3488 | + | 3.31249i | 1.45629 | + | 0.132712i | ||||
\(624\) | 0.531287 | + | 0.613137i | 0.0212685 | + | 0.0245451i | ||||
\(625\) | 20.8848 | − | 13.4218i | 0.835390 | − | 0.536873i | ||||
\(626\) | 1.61685 | + | 11.2454i | 0.0646223 | + | 0.449458i | ||||
\(627\) | 9.67577 | + | 6.21824i | 0.386413 | + | 0.248333i | ||||
\(628\) | −2.26412 | + | 4.95773i | −0.0903482 | + | 0.197835i | ||||
\(629\) | 16.6011 | + | 14.3849i | 0.661929 | + | 0.573565i | ||||
\(630\) | 0.141566 | − | 0.247664i | 0.00564012 | − | 0.00986717i | ||||
\(631\) | −9.90074 | + | 4.52152i | −0.394142 | + | 0.179999i | −0.602620 | − | 0.798028i | \(-0.705876\pi\) |
0.208477 | + | 0.978027i | \(0.433149\pi\) | |||||||
\(632\) | −0.0178485 | + | 0.0607864i | −0.000709975 | + | 0.00241795i | ||||
\(633\) | 2.50984 | − | 8.54774i | 0.0997573 | − | 0.339742i | ||||
\(634\) | 11.7861 | + | 25.8079i | 0.468086 | + | 1.02496i | ||||
\(635\) | 0.0930640 | − | 0.647274i | 0.00369313 | − | 0.0256863i | ||||
\(636\) | 4.30828 | − | 4.97202i | 0.170834 | − | 0.197153i | ||||
\(637\) | −2.15618 | − | 5.25384i | −0.0854308 | − | 0.208165i | ||||
\(638\) | −10.4509 | + | 16.2619i | −0.413755 | + | 0.643816i | ||||
\(639\) | −0.230753 | − | 1.60492i | −0.00912846 | − | 0.0634898i | ||||
\(640\) | −0.0907052 | + | 0.0582927i | −0.00358544 | + | 0.00230422i | ||||
\(641\) | 8.83005 | − | 7.65129i | 0.348766 | − | 0.302208i | −0.462806 | − | 0.886459i | \(-0.653157\pi\) |
0.811572 | + | 0.584252i | \(0.198612\pi\) | |||||||
\(642\) | −10.2701 | + | 3.01558i | −0.405330 | + | 0.119016i | ||||
\(643\) | −13.5990 | −0.536291 | −0.268146 | − | 0.963378i | \(-0.586411\pi\) | ||||
−0.268146 | + | 0.963378i | \(0.586411\pi\) | |||||||
\(644\) | 4.85943 | + | 11.7212i | 0.191488 | + | 0.461879i | ||||
\(645\) | −0.556318 | −0.0219050 | ||||||||
\(646\) | −16.1282 | + | 4.73567i | −0.634556 | + | 0.186323i | ||||
\(647\) | −8.83349 | + | 7.65427i | −0.347280 | + | 0.300920i | −0.810982 | − | 0.585071i | \(-0.801067\pi\) |
0.463701 | + | 0.885992i | \(0.346521\pi\) | |||||||
\(648\) | 0.841254 | − | 0.540641i | 0.0330476 | − | 0.0212384i | ||||
\(649\) | −0.399672 | − | 2.77978i | −0.0156885 | − | 0.109116i | ||||
\(650\) | −2.18800 | + | 3.40460i | −0.0858205 | + | 0.133539i | ||||
\(651\) | 14.8313 | − | 14.2644i | 0.581284 | − | 0.559068i | ||||
\(652\) | 11.2175 | − | 12.9456i | 0.439309 | − | 0.506990i | ||||
\(653\) | −3.80423 | + | 26.4590i | −0.148871 | + | 1.03542i | 0.769201 | + | 0.639007i | \(0.220655\pi\) |
−0.918072 | + | 0.396414i | \(0.870255\pi\) | |||||||
\(654\) | −3.38504 | − | 7.41220i | −0.132365 | − | 0.289840i | ||||
\(655\) | 0.642160 | − | 2.18700i | 0.0250913 | − | 0.0854531i | ||||
\(656\) | −3.08765 | + | 10.5156i | −0.120552 | + | 0.410564i | ||||
\(657\) | 7.20586 | − | 3.29080i | 0.281127 | − | 0.128387i | ||||
\(658\) | −11.9303 | − | 6.81943i | −0.465093 | − | 0.265849i | ||||
\(659\) | 7.97209 | + | 6.90786i | 0.310549 | + | 0.269092i | 0.796164 | − | 0.605080i | \(-0.206859\pi\) |
−0.485616 | + | 0.874172i | \(0.661405\pi\) | |||||||
\(660\) | 0.0963180 | − | 0.210907i | 0.00374917 | − | 0.00820954i | ||||
\(661\) | −12.2940 | − | 7.90088i | −0.478182 | − | 0.307309i | 0.279255 | − | 0.960217i | \(-0.409912\pi\) |
−0.757437 | + | 0.652908i | \(0.773549\pi\) | |||||||
\(662\) | −4.41912 | − | 30.7356i | −0.171754 | − | 1.19457i | ||||
\(663\) | 2.14493 | − | 1.37846i | 0.0833020 | − | 0.0535349i | ||||
\(664\) | 4.50832 | + | 5.20288i | 0.174957 | + | 0.201911i | ||||
\(665\) | 1.51949 | + | 0.138472i | 0.0589233 | + | 0.00536971i | ||||
\(666\) | − | 6.98962i | − | 0.270842i | ||||||
\(667\) | −43.0448 | + | 2.39131i | −1.66670 | + | 0.0925920i | ||||
\(668\) | − | 0.258705i | − | 0.0100096i | ||||||
\(669\) | 14.5708 | − | 4.27836i | 0.563338 | − | 0.165411i | ||||
\(670\) | −0.872847 | + | 0.756326i | −0.0337210 | + | 0.0292194i | ||||
\(671\) | −0.893928 | − | 1.39098i | −0.0345097 | − | 0.0536981i | ||||
\(672\) | 2.57384 | + | 0.612646i | 0.0992881 | + | 0.0236333i | ||||
\(673\) | −13.1440 | − | 8.44714i | −0.506664 | − | 0.325613i | 0.262213 | − | 0.965010i | \(-0.415548\pi\) |
−0.768877 | + | 0.639397i | \(0.779184\pi\) | |||||||
\(674\) | −3.30634 | − | 1.50995i | −0.127355 | − | 0.0581612i | ||||
\(675\) | 3.76996 | + | 3.26669i | 0.145106 | + | 0.125735i | ||||
\(676\) | −1.75642 | + | 12.2162i | −0.0675546 | + | 0.469853i | ||||
\(677\) | 3.48703 | + | 7.63552i | 0.134017 | + | 0.293457i | 0.964729 | − | 0.263247i | \(-0.0847933\pi\) |
−0.830711 | + | 0.556703i | \(0.812066\pi\) | |||||||
\(678\) | −16.3647 | − | 4.80510i | −0.628481 | − | 0.184539i | ||||
\(679\) | 7.32826 | + | 5.71194i | 0.281233 | + | 0.219204i | ||||
\(680\) | 0.140764 | + | 0.308231i | 0.00539807 | + | 0.0118201i | ||||
\(681\) | −23.0921 | − | 3.32015i | −0.884893 | − | 0.127228i | ||||
\(682\) | 10.9526 | − | 12.6399i | 0.419396 | − | 0.484009i | ||||
\(683\) | −17.1995 | + | 37.6616i | −0.658120 | + | 1.44108i | 0.226143 | + | 0.974094i | \(0.427388\pi\) |
−0.884263 | + | 0.466989i | \(0.845339\pi\) | |||||||
\(684\) | 4.49952 | + | 2.89167i | 0.172043 | + | 0.110566i | ||||
\(685\) | −0.809300 | + | 0.116360i | −0.0309217 | + | 0.00444588i | ||||
\(686\) | −15.7087 | − | 9.81004i | −0.599761 | − | 0.374549i | ||||
\(687\) | 16.3186 | − | 14.1401i | 0.622592 | − | 0.539479i | ||||
\(688\) | −1.45363 | − | 4.95062i | −0.0554193 | − | 0.188741i | ||||
\(689\) | −5.33746 | −0.203341 | ||||||||
\(690\) | 0.506961 | − | 0.101867i | 0.0192997 | − | 0.00387802i | ||||
\(691\) | − | 33.0727i | − | 1.25814i | −0.777347 | − | 0.629072i | \(-0.783435\pi\) | ||
0.777347 | − | 0.629072i | \(-0.216565\pi\) | |||||||
\(692\) | 0.576865 | + | 1.96462i | 0.0219291 | + | 0.0746837i | ||||
\(693\) | −5.36843 | + | 1.88404i | −0.203930 | + | 0.0715688i | ||||
\(694\) | −17.1469 | + | 11.0196i | −0.650887 | + | 0.418300i | ||||
\(695\) | −1.58622 | + | 0.228064i | −0.0601688 | + | 0.00865097i | ||||
\(696\) | −4.85998 | + | 7.56227i | −0.184217 | + | 0.286647i | ||||
\(697\) | 31.3301 | + | 14.3080i | 1.18671 | + | 0.541953i | ||||
\(698\) | 0.439583 | + | 0.380901i | 0.0166385 | + | 0.0144173i | ||||
\(699\) | −7.35958 | − | 1.05815i | −0.278365 | − | 0.0400228i | ||||
\(700\) | 0.684933 | + | 13.1802i | 0.0258880 | + | 0.498165i | ||||
\(701\) | −4.01840 | + | 13.6854i | −0.151773 | + | 0.516891i | −0.999917 | − | 0.0128741i | \(-0.995902\pi\) |
0.848144 | + | 0.529766i | \(0.177720\pi\) | |||||||
\(702\) | −0.778434 | − | 0.228569i | −0.0293801 | − | 0.00862677i | ||||
\(703\) | 34.0062 | − | 15.5301i | 1.28257 | − | 0.585729i | ||||
\(704\) | 2.12851 | + | 0.306034i | 0.0802214 | + | 0.0115341i | ||||
\(705\) | −0.366733 | + | 0.423232i | −0.0138120 | + | 0.0159398i | ||||
\(706\) | 2.94164 | + | 1.34340i | 0.110710 | + | 0.0505596i | ||||
\(707\) | −17.2634 | + | 12.4060i | −0.649259 | + | 0.466575i | ||||
\(708\) | −0.185859 | − | 1.29268i | −0.00698502 | − | 0.0485819i | ||||
\(709\) | 21.3356 | + | 33.1989i | 0.801277 | + | 1.24681i | 0.965504 | + | 0.260389i | \(0.0838507\pi\) |
−0.164227 | + | 0.986423i | \(0.552513\pi\) | |||||||
\(710\) | −0.114486 | − | 0.132124i | −0.00429658 | − | 0.00495852i | ||||
\(711\) | −0.0178485 | − | 0.0607864i | −0.000669371 | − | 0.00227967i | ||||
\(712\) | 13.7955 | 0.517008 | ||||||||
\(713\) | 37.1582 | + | 3.25227i | 1.39159 | + | 0.121799i | ||||
\(714\) | 3.05694 | − | 7.73252i | 0.114403 | − | 0.289382i | ||||
\(715\) | −0.180487 | + | 0.0529959i | −0.00674984 | + | 0.00198193i | ||||
\(716\) | 9.93222 | + | 11.4624i | 0.371185 | + | 0.428370i | ||||
\(717\) | −15.9582 | − | 24.8315i | −0.595971 | − | 0.927349i | ||||
\(718\) | 11.3770 | − | 1.63577i | 0.424588 | − | 0.0610465i | ||||
\(719\) | −8.37449 | + | 13.0310i | −0.312316 | + | 0.485973i | −0.961555 | − | 0.274611i | \(-0.911451\pi\) |
0.649239 | + | 0.760584i | \(0.275087\pi\) | |||||||
\(720\) | 0.0447907 | − | 0.0980779i | 0.00166925 | − | 0.00365515i | ||||
\(721\) | 41.0621 | − | 21.3940i | 1.52923 | − | 0.796755i | ||||
\(722\) | −1.36728 | + | 9.50961i | −0.0508847 | + | 0.353911i | ||||
\(723\) | −23.5733 | + | 10.7656i | −0.876702 | + | 0.400376i | ||||
\(724\) | −12.6816 | − | 3.72364i | −0.471307 | − | 0.138388i | ||||
\(725\) | −43.0255 | − | 12.6334i | −1.59793 | − | 0.469194i | ||||
\(726\) | 5.79961 | − | 2.64859i | 0.215244 | − | 0.0982984i | ||||
\(727\) | −3.73587 | + | 25.9836i | −0.138556 | + | 0.963677i | 0.795348 | + | 0.606153i | \(0.207288\pi\) |
−0.933904 | + | 0.357524i | \(0.883621\pi\) | |||||||
\(728\) | −0.991812 | − | 1.90361i | −0.0367590 | − | 0.0705525i | ||||
\(729\) | −0.415415 | + | 0.909632i | −0.0153857 | + | 0.0336901i | ||||
\(730\) | 0.461779 | − | 0.718542i | 0.0170912 | − | 0.0265944i | ||||
\(731\) | −16.0502 | + | 2.30767i | −0.593638 | + | 0.0853522i | ||||
\(732\) | −0.415703 | − | 0.646846i | −0.0153648 | − | 0.0239081i | ||||
\(733\) | 2.95699 | + | 3.41255i | 0.109219 | + | 0.126045i | 0.807727 | − | 0.589557i | \(-0.200698\pi\) |
−0.698508 | + | 0.715602i | \(0.746152\pi\) | |||||||
\(734\) | 25.8783 | − | 7.59857i | 0.955187 | − | 0.280468i | ||||
\(735\) | −0.516098 | + | 0.550718i | −0.0190366 | + | 0.0203136i | ||||
\(736\) | 2.23117 | + | 4.24522i | 0.0822421 | + | 0.156481i | ||||
\(737\) | 23.0343 | 0.848478 | ||||||||
\(738\) | −3.08765 | − | 10.5156i | −0.113658 | − | 0.387083i | ||||
\(739\) | −10.3796 | − | 11.9788i | −0.381822 | − | 0.440646i | 0.532011 | − | 0.846738i | \(-0.321437\pi\) |
−0.913832 | + | 0.406092i | \(0.866891\pi\) | |||||||
\(740\) | −0.407444 | − | 0.633995i | −0.0149779 | − | 0.0233061i | ||||
\(741\) | −0.617546 | − | 4.29513i | −0.0226861 | − | 0.157785i | ||||
\(742\) | −14.1349 | + | 10.1577i | −0.518909 | + | 0.372902i | ||||
\(743\) | 38.2330 | + | 17.4604i | 1.40263 | + | 0.640561i | 0.965873 | − | 0.259017i | \(-0.0833987\pi\) |
0.436760 | + | 0.899578i | \(0.356126\pi\) | |||||||
\(744\) | 5.09327 | − | 5.87795i | 0.186728 | − | 0.215496i | ||||
\(745\) | −1.25322 | − | 0.180186i | −0.0459145 | − | 0.00660150i | ||||
\(746\) | 9.05698 | − | 4.13618i | 0.331600 | − | 0.151436i | ||||
\(747\) | −6.60553 | − | 1.93956i | −0.241684 | − | 0.0709647i | ||||
\(748\) | 1.90398 | − | 6.48436i | 0.0696164 | − | 0.237092i | ||||
\(749\) | 28.2812 | − | 1.46968i | 1.03337 | − | 0.0537010i | ||||
\(750\) | 1.06600 | + | 0.153268i | 0.0389248 | + | 0.00559654i | ||||
\(751\) | 17.5282 | + | 15.1883i | 0.639613 | + | 0.554228i | 0.913145 | − | 0.407635i | \(-0.133646\pi\) |
−0.273532 | + | 0.961863i | \(0.588192\pi\) | |||||||
\(752\) | −4.72456 | − | 2.15763i | −0.172287 | − | 0.0786808i | ||||
\(753\) | 4.28060 | − | 6.66074i | 0.155994 | − | 0.242731i | ||||
\(754\) | 7.21875 | − | 1.03790i | 0.262891 | − | 0.0377981i | ||||
\(755\) | −2.15330 | + | 1.38384i | −0.0783668 | + | 0.0503633i | ||||
\(756\) | −2.49648 | + | 0.876134i | −0.0907959 | + | 0.0318647i | ||||
\(757\) | −7.54179 | − | 25.6850i | −0.274111 | − | 0.933536i | −0.975360 | − | 0.220620i | \(-0.929192\pi\) |
0.701249 | − | 0.712917i | \(-0.252626\pi\) | |||||||
\(758\) | − | 7.51967i | − | 0.273127i | ||||||
\(759\) | −8.97173 | − | 5.08579i | −0.325653 | − | 0.184603i | ||||
\(760\) | 0.576693 | 0.0209188 | ||||||||
\(761\) | −10.9537 | − | 37.3049i | −0.397072 | − | 1.35230i | −0.879305 | − | 0.476259i | \(-0.841993\pi\) |
0.482234 | − | 0.876043i | \(-0.339826\pi\) | |||||||
\(762\) | −4.58357 | + | 3.97169i | −0.166045 | + | 0.143879i | ||||
\(763\) | 4.17150 | + | 21.1517i | 0.151018 | + | 0.765741i | ||||
\(764\) | 16.1954 | − | 2.32854i | 0.585928 | − | 0.0842437i | ||||
\(765\) | −0.285061 | − | 0.183198i | −0.0103064 | − | 0.00662352i | ||||
\(766\) | 6.27178 | − | 13.7333i | 0.226609 | − | 0.496204i | ||||
\(767\) | −0.693846 | + | 0.800741i | −0.0250533 | + | 0.0289131i | ||||
\(768\) | 0.989821 | + | 0.142315i | 0.0357171 | + | 0.00513534i | ||||
\(769\) | −0.144058 | − | 0.315444i | −0.00519487 | − | 0.0113752i | 0.907017 | − | 0.421094i | \(-0.138354\pi\) |
−0.912212 | + | 0.409719i | \(0.865627\pi\) | |||||||
\(770\) | −0.377118 | + | 0.483832i | −0.0135904 | + | 0.0174361i | ||||
\(771\) | −12.9000 | − | 3.78778i | −0.464583 | − | 0.136414i | ||||
\(772\) | 4.66250 | + | 10.2094i | 0.167807 | + | 0.367446i | ||||
\(773\) | −3.16747 | + | 22.0302i | −0.113926 | + | 0.792371i | 0.850111 | + | 0.526603i | \(0.176535\pi\) |
−0.964037 | + | 0.265768i | \(0.914374\pi\) | |||||||
\(774\) | 3.89938 | + | 3.37883i | 0.140160 | + | 0.121450i | ||||
\(775\) | 35.2917 | + | 16.1172i | 1.26772 | + | 0.578946i | ||||
\(776\) | 2.95432 | + | 1.89863i | 0.106054 | + | 0.0681567i | ||||
\(777\) | −4.28216 | + | 17.9902i | −0.153622 | + | 0.645394i | ||||
\(778\) | 11.4461 | + | 17.8104i | 0.410362 | + | 0.638535i | ||||
\(779\) | 44.3004 | − | 38.3865i | 1.58723 | − | 1.37534i | ||||
\(780\) | −0.0839319 | + | 0.0246446i | −0.00300524 | + | 0.000882419i | ||||
\(781\) | 3.48672i | 0.124765i | ||||||||
\(782\) | 14.2036 | − | 5.04188i | 0.507921 | − | 0.180297i | ||||
\(783\) | − | 8.98929i | − | 0.321251i | ||||||
\(784\) | −6.24933 | − | 3.15371i | −0.223190 | − | 0.112632i | ||||
\(785\) | −0.384832 | − | 0.444120i | −0.0137353 | − | 0.0158513i | ||||
\(786\) | −17.7839 | + | 11.4290i | −0.634332 | + | 0.407661i | ||||
\(787\) | 3.36230 | + | 23.3853i | 0.119853 | + | 0.833596i | 0.957716 | + | 0.287715i | \(0.0928956\pi\) |
−0.837863 | + | 0.545880i | \(0.816195\pi\) | |||||||
\(788\) | 7.74917 | + | 4.98009i | 0.276053 | + | 0.177408i | ||||
\(789\) | 10.7286 | − | 23.4923i | 0.381948 | − | 0.836349i | ||||
\(790\) | −0.00516236 | − | 0.00447321i | −0.000183668 | − | 0.000159150i | ||||
\(791\) | 39.1763 | + | 22.3933i | 1.39295 | + | 0.796215i | ||||
\(792\) | −1.95607 | + | 0.893309i | −0.0695061 | + | 0.0317424i | ||||
\(793\) | −0.175748 | + | 0.598543i | −0.00624100 | + | 0.0212549i | ||||
\(794\) | 2.20475 | − | 7.50868i | 0.0782436 | − | 0.266473i | ||||
\(795\) | 0.294674 | + | 0.645247i | 0.0104510 | + | 0.0228845i | ||||
\(796\) | 2.12356 | − | 14.7697i | 0.0752676 | − | 0.523498i | ||||
\(797\) | −4.98486 | + | 5.75284i | −0.176573 | + | 0.203776i | −0.837136 | − | 0.546994i | \(-0.815772\pi\) |
0.660564 | + | 0.750770i | \(0.270317\pi\) | |||||||
\(798\) | −9.80949 | − | 10.1993i | −0.347252 | − | 0.361051i | ||||
\(799\) | −8.82490 | + | 13.7318i | −0.312202 | + | 0.485796i | ||||
\(800\) | 0.709920 | + | 4.93760i | 0.0250995 | + | 0.174571i | ||||
\(801\) | −11.6055 | + | 7.45841i | −0.410061 | + | 0.263530i | ||||
\(802\) | −17.2351 | + | 14.9343i | −0.608592 | + | 0.527348i | ||||
\(803\) | −16.3449 | + | 4.79929i | −0.576798 | + | 0.169363i | ||||
\(804\) | 10.7116 | 0.377769 | ||||||||
\(805\) | −1.36725 | − | 0.0483968i | −0.0481891 | − | 0.00170576i | ||||
\(806\) | −6.30997 | −0.222259 | ||||||||
\(807\) | −13.8401 | + | 4.06383i | −0.487195 | + | 0.143054i | ||||
\(808\) | −6.07249 | + | 5.26185i | −0.213630 | + | 0.185111i | ||||
\(809\) | −33.5637 | + | 21.5701i | −1.18004 | + | 0.758364i | −0.975393 | − | 0.220472i | \(-0.929240\pi\) |
−0.204645 | + | 0.978836i | \(0.565604\pi\) | |||||||
\(810\) | 0.0153446 | + | 0.106724i | 0.000539154 | + | 0.00374990i | ||||
\(811\) | 27.3927 | − | 42.6239i | 0.961889 | − | 1.49673i | 0.0966804 | − | 0.995315i | \(-0.469178\pi\) |
0.865208 | − | 0.501413i | \(-0.167186\pi\) | |||||||
\(812\) | 17.1418 | − | 16.4867i | 0.601560 | − | 0.578568i | ||||
\(813\) | 1.26226 | − | 1.45672i | 0.0442692 | − | 0.0510894i | ||||
\(814\) | −2.13906 | + | 14.8775i | −0.0749741 | + | 0.521456i | ||||
\(815\) | 0.767243 | + | 1.68003i | 0.0268754 | + | 0.0588488i | ||||
\(816\) | 0.885406 | − | 3.01542i | 0.0309954 | − | 0.105561i | ||||
\(817\) | −7.77489 | + | 26.4788i | −0.272009 | + | 0.926377i | ||||
\(818\) | 26.9715 | − | 12.3175i | 0.943035 | − | 0.430670i | ||||
\(819\) | 1.86353 | + | 1.06520i | 0.0651172 | + | 0.0372212i | ||||
\(820\) | −0.893046 | − | 0.773829i | −0.0311865 | − | 0.0270233i | ||||
\(821\) | 1.00890 | − | 2.20918i | 0.0352108 | − | 0.0771009i | −0.891209 | − | 0.453592i | \(-0.850142\pi\) |
0.926420 | + | 0.376491i | \(0.122870\pi\) | |||||||
\(822\) | 6.37931 | + | 4.09974i | 0.222504 | + | 0.142995i | ||||
\(823\) | −6.06186 | − | 42.1612i | −0.211303 | − | 1.46965i | −0.768812 | − | 0.639475i | \(-0.779152\pi\) |
0.557508 | − | 0.830171i | \(-0.311758\pi\) | |||||||
\(824\) | 14.7221 | − | 9.46132i | 0.512869 | − | 0.329601i | ||||
\(825\) | −7.02470 | − | 8.10693i | −0.244569 | − | 0.282247i | ||||
\(826\) | −0.313582 | + | 3.44102i | −0.0109109 | + | 0.119728i | ||||
\(827\) | − | 33.5834i | − | 1.16781i | −0.811822 | − | 0.583905i | \(-0.801524\pi\) | ||
0.811822 | − | 0.583905i | \(-0.198476\pi\) | |||||||
\(828\) | −4.17212 | − | 2.36504i | −0.144991 | − | 0.0821909i | ||||
\(829\) | 20.5328i | 0.713134i | 0.934270 | + | 0.356567i | \(0.116053\pi\) | ||||
−0.934270 | + | 0.356567i | \(0.883947\pi\) | |||||||
\(830\) | −0.712218 | + | 0.209126i | −0.0247214 | + | 0.00725887i | ||||
\(831\) | 2.83211 | − | 2.45404i | 0.0982450 | − | 0.0851298i | ||||
\(832\) | −0.438620 | − | 0.682506i | −0.0152064 | − | 0.0236617i | ||||
\(833\) | −12.6054 | + | 18.0295i | −0.436750 | + | 0.624684i | ||||
\(834\) | 12.5034 | + | 8.03545i | 0.432958 | + | 0.278245i | ||||
\(835\) | 0.0253733 | + | 0.0115876i | 0.000878078 | + | 0.000401005i | ||||
\(836\) | −8.69234 | − | 7.53196i | −0.300631 | − | 0.260498i | ||||
\(837\) | −1.10687 | + | 7.69847i | −0.0382591 | + | 0.266098i | ||||
\(838\) | −9.91551 | − | 21.7119i | −0.342526 | − | 0.750027i | ||||
\(839\) | −18.9648 | − | 5.56857i | −0.654738 | − | 0.192248i | −0.0625418 | − | 0.998042i | \(-0.519921\pi\) |
−0.592196 | + | 0.805794i | \(0.701739\pi\) | |||||||
\(840\) | −0.175371 | + | 0.224996i | −0.00605088 | + | 0.00776311i | ||||
\(841\) | 21.5216 | + | 47.1256i | 0.742123 | + | 1.62502i | ||||
\(842\) | 32.6877 | + | 4.69978i | 1.12649 | + | 0.161965i | ||||
\(843\) | 8.90108 | − | 10.2724i | 0.306569 | − | 0.353800i | ||||
\(844\) | −3.70077 | + | 8.10355i | −0.127386 | + | 0.278936i | ||||
\(845\) | −1.11947 | − | 0.719437i | −0.0385108 | − | 0.0247494i | ||||
\(846\) | 5.14105 | − | 0.739172i | 0.176753 | − | 0.0254133i | ||||
\(847\) | −16.5499 | + | 3.26395i | −0.568662 | + | 0.112151i | ||||
\(848\) | −4.97202 | + | 4.30828i | −0.170740 | + | 0.147947i | ||||
\(849\) | 2.21755 | + | 7.55228i | 0.0761061 | + | 0.259193i | ||||
\(850\) | 15.6771 | 0.537719 | ||||||||
\(851\) | −29.6724 | + | 15.5950i | −1.01716 | + | 0.534591i | ||||
\(852\) | 1.62143i | 0.0555492i | ||||||||
\(853\) | 1.97822 | + | 6.73720i | 0.0677330 | + | 0.230677i | 0.986402 | − | 0.164351i | \(-0.0525530\pi\) |
−0.918669 | + | 0.395028i | \(0.870735\pi\) | |||||||
\(854\) | 0.673666 | + | 1.91956i | 0.0230524 | + | 0.0656859i | ||||
\(855\) | −0.485145 | + | 0.311784i | −0.0165916 | + | 0.0106628i | ||||
\(856\) | 10.5948 | − | 1.52330i | 0.362121 | − | 0.0520652i | ||||
\(857\) | 2.84539 | − | 4.42751i | 0.0971965 | − | 0.151241i | −0.789250 | − | 0.614072i | \(-0.789530\pi\) |
0.886446 | + | 0.462832i | \(0.153167\pi\) | |||||||
\(858\) | 1.58696 | + | 0.724739i | 0.0541778 | + | 0.0247422i | ||||
\(859\) | −10.8097 | − | 9.36663i | −0.368821 | − | 0.319585i | 0.450655 | − | 0.892698i | \(-0.351190\pi\) |
−0.819477 | + | 0.573113i | \(0.805736\pi\) | |||||||
\(860\) | 0.550656 | + | 0.0791723i | 0.0187772 | + | 0.00269975i | ||||
\(861\) | 1.50480 | + | 28.9570i | 0.0512836 | + | 0.986853i | ||||
\(862\) | 2.27034 | − | 7.73208i | 0.0773282 | − | 0.263356i | ||||
\(863\) | 5.98410 | + | 1.75709i | 0.203701 | + | 0.0598120i | 0.381991 | − | 0.924166i | \(-0.375238\pi\) |
−0.178290 | + | 0.983978i | \(0.557057\pi\) | |||||||
\(864\) | −0.909632 | + | 0.415415i | −0.0309463 | + | 0.0141327i | ||||
\(865\) | −0.218524 | − | 0.0314190i | −0.00743004 | − | 0.00106828i | ||||
\(866\) | −14.4549 | + | 16.6819i | −0.491199 | + | 0.566874i | ||||
\(867\) | 6.47960 | + | 2.95913i | 0.220059 | + | 0.100497i | ||||
\(868\) | −16.7104 | + | 12.0085i | −0.567187 | + | 0.407596i | ||||
\(869\) | 0.0193881 | + | 0.134847i | 0.000657695 | + | 0.00457437i | ||||
\(870\) | −0.524010 | − | 0.815376i | −0.0177656 | − | 0.0276438i | ||||
\(871\) | −5.69093 | − | 6.56769i | −0.192830 | − | 0.222538i | ||||
\(872\) | 2.29572 | + | 7.81849i | 0.0777428 | + | 0.264768i | ||||
\(873\) | −3.51181 | −0.118857 | ||||||||
\(874\) | 2.23655 | − | 25.5532i | 0.0756524 | − | 0.864351i | ||||
\(875\) | −2.64982 | − | 1.04757i | −0.0895801 | − | 0.0354142i | ||||
\(876\) | −7.60084 | + | 2.23181i | −0.256809 | + | 0.0754058i | ||||
\(877\) | −10.6320 | − | 12.2699i | −0.359016 | − | 0.414327i | 0.547294 | − | 0.836941i | \(-0.315658\pi\) |
−0.906310 | + | 0.422614i | \(0.861113\pi\) | |||||||
\(878\) | −2.16759 | − | 3.37283i | −0.0731525 | − | 0.113827i | ||||
\(879\) | −4.74924 | + | 0.682837i | −0.160188 | + | 0.0230315i | ||||
\(880\) | −0.125353 | + | 0.195053i | −0.00422564 | + | 0.00657523i | ||||
\(881\) | −16.1947 | + | 35.4615i | −0.545614 | + | 1.19473i | 0.413186 | + | 0.910647i | \(0.364416\pi\) |
−0.958800 | + | 0.284081i | \(0.908311\pi\) | |||||||
\(882\) | 6.96229 | − | 0.725575i | 0.234433 | − | 0.0244314i | ||||
\(883\) | −5.39109 | + | 37.4959i | −0.181425 | + | 1.26184i | 0.671973 | + | 0.740576i | \(0.265447\pi\) |
−0.853397 | + | 0.521261i | \(0.825462\pi\) | |||||||
\(884\) | −2.31927 | + | 1.05917i | −0.0780054 | + | 0.0356239i | ||||
\(885\) | 0.135108 | + | 0.0396713i | 0.00454161 | + | 0.00133354i | ||||
\(886\) | 6.35755 | + | 1.86675i | 0.213586 | + | 0.0627146i | ||||
\(887\) | −25.2802 | + | 11.5451i | −0.848828 | + | 0.387647i | −0.791840 | − | 0.610728i | \(-0.790877\pi\) |
−0.0569874 | + | 0.998375i | \(0.518150\pi\) | |||||||
\(888\) | −0.994726 | + | 6.91847i | −0.0333808 | + | 0.232169i | ||||
\(889\) | 14.2306 | − | 7.41439i | 0.477280 | − | 0.248671i | ||||
\(890\) | −0.617910 | + | 1.35303i | −0.0207124 | + | 0.0453538i | ||||
\(891\) | 1.16260 | − | 1.80903i | 0.0389484 | − | 0.0606049i | ||||
\(892\) | −15.0313 | + | 2.16118i | −0.503286 | + | 0.0723616i | ||||
\(893\) | 15.0191 | + | 23.3701i | 0.502594 | + | 0.782052i | ||||
\(894\) | 7.68979 | + | 8.87449i | 0.257185 | + | 0.296807i | ||||
\(895\) | −1.56908 | + | 0.460723i | −0.0524485 | + | 0.0154003i | ||||
\(896\) | −2.46046 | − | 0.972706i | −0.0821981 | − | 0.0324958i | ||||
\(897\) | 0.766495 | + | 3.81460i | 0.0255925 | + | 0.127366i | ||||
\(898\) | −1.12423 | −0.0375161 | ||||||||
\(899\) | −19.6975 | − | 67.0834i | −0.656947 | − | 2.23736i | ||||
\(900\) | −3.26669 | − | 3.76996i | −0.108890 | − | 0.125665i | ||||
\(901\) | 11.1781 | + | 17.3935i | 0.372397 | + | 0.579462i | ||||
\(902\) | 3.35398 | + | 23.3275i | 0.111675 | + | 0.776719i | ||||
\(903\) | −7.96637 | − | 11.0855i | −0.265104 | − | 0.368903i | ||||
\(904\) | 15.5143 | + | 7.08513i | 0.515997 | + | 0.235648i | ||||
\(905\) | 0.933223 | − | 1.07700i | 0.0310214 | − | 0.0358006i | ||||
\(906\) | 23.4979 | + | 3.37849i | 0.780667 | + | 0.112243i | ||||
\(907\) | 19.1195 | − | 8.73160i | 0.634854 | − | 0.289928i | −0.0718739 | − | 0.997414i | \(-0.522898\pi\) |
0.706728 | + | 0.707486i | \(0.250171\pi\) | |||||||
\(908\) | 22.3846 | + | 6.57271i | 0.742859 | + | 0.218123i | ||||
\(909\) | 2.26374 | − | 7.70958i | 0.0750835 | − | 0.255711i | ||||
\(910\) | 0.231126 | − | 0.0120109i | 0.00766175 | − | 0.000398156i | ||||
\(911\) | −22.4069 | − | 3.22163i | −0.742375 | − | 0.106737i | −0.239258 | − | 0.970956i | \(-0.576904\pi\) |
−0.503116 | + | 0.864219i | \(0.667813\pi\) | |||||||
\(912\) | −4.04219 | − | 3.50258i | −0.133850 | − | 0.115982i | ||||
\(913\) | 13.4664 | + | 6.14989i | 0.445672 | + | 0.203532i | ||||
\(914\) | −19.4569 | + | 30.2755i | −0.643576 | + | 1.00142i | ||||
\(915\) | 0.0820609 | − | 0.0117986i | 0.00271285 | − | 0.000390049i | ||||
\(916\) | −18.1648 | + | 11.6738i | −0.600182 | + | 0.385714i | ||||
\(917\) | 52.7750 | − | 18.5213i | 1.74278 | − | 0.611627i | ||||
\(918\) | 0.885406 | + | 3.01542i | 0.0292228 | + | 0.0995236i | ||||
\(919\) | 37.1737i | 1.22625i | 0.789986 | + | 0.613124i | \(0.210088\pi\) | ||||
−0.789986 | + | 0.613124i | \(0.789912\pi\) | |||||||
\(920\) | −0.516298 | + | 0.0286825i | −0.0170218 | + | 0.000945632i | ||||
\(921\) | 29.5264 | 0.972929 | ||||||||
\(922\) | 9.60133 | + | 32.6991i | 0.316203 | + | 1.07689i | ||||
\(923\) | 0.994158 | − | 0.861443i | 0.0327231 | − | 0.0283547i | ||||
\(924\) | 5.58191 | − | 1.10086i | 0.183631 | − | 0.0362155i | ||||
\(925\) | −34.5119 | + | 4.96207i | −1.13475 | + | 0.163152i | ||||
\(926\) | −33.3608 | − | 21.4397i | −1.09630 | − | 0.704552i | ||||
\(927\) | −7.26984 | + | 15.9187i | −0.238773 | + | 0.522840i | ||||
\(928\) | 5.88673 | − | 6.79365i | 0.193242 | − | 0.223013i | ||||
\(929\) | 14.9150 | + | 2.14446i | 0.489346 | + | 0.0703573i | 0.382571 | − | 0.923926i | \(-0.375039\pi\) |
0.106775 | + | 0.994283i | \(0.465948\pi\) | |||||||
\(930\) | 0.348366 | + | 0.762814i | 0.0114234 | + | 0.0250137i | ||||
\(931\) | 18.9995 | + | 32.2611i | 0.622684 | + | 1.05732i | ||||
\(932\) | 7.13408 | + | 2.09476i | 0.233685 | + | 0.0686160i | ||||
\(933\) | 8.69152 | + | 19.0318i | 0.284547 | + | 0.623072i | ||||
\(934\) | 1.48326 | − | 10.3163i | 0.0485339 | − | 0.337561i | ||||
\(935\) | 0.550692 | + | 0.477177i | 0.0180095 | + | 0.0156054i | ||||
\(936\) | 0.737982 | + | 0.337025i | 0.0241217 | + | 0.0110160i | ||||
\(937\) | 25.3106 | + | 16.2662i | 0.826863 | + | 0.531392i | 0.884280 | − | 0.466958i | \(-0.154650\pi\) |
−0.0574169 | + | 0.998350i | \(0.518286\pi\) | |||||||
\(938\) | −27.5700 | − | 6.56242i | −0.900192 | − | 0.214271i | ||||
\(939\) | 6.14226 | + | 9.55755i | 0.200445 | + | 0.311899i | ||||
\(940\) | 0.423232 | − | 0.366733i | 0.0138043 | − | 0.0119615i | ||||
\(941\) | −20.8767 | + | 6.12995i | −0.680560 | + | 0.199831i | −0.603700 | − | 0.797211i | \(-0.706308\pi\) |
−0.0768601 | + | 0.997042i | \(0.524489\pi\) | |||||||
\(942\) | 5.45026i | 0.177579i | ||||||||
\(943\) | −37.7518 | + | 36.5698i | −1.22937 | + | 1.19088i | ||||
\(944\) | 1.30597i | 0.0425058i | ||||||||
\(945\) | 0.0258894 | − | 0.284092i | 0.000842184 | − | 0.00924150i | ||||
\(946\) | −7.26585 | − | 8.38524i | −0.236233 | − | 0.272628i | ||||
\(947\) | −15.7891 | + | 10.1470i | −0.513075 | + | 0.329734i | −0.771427 | − | 0.636317i | \(-0.780457\pi\) |
0.258352 | + | 0.966051i | \(0.416821\pi\) | |||||||
\(948\) | 0.00901602 | + | 0.0627078i | 0.000292827 | + | 0.00203665i | ||||
\(949\) | 5.40663 | + | 3.47463i | 0.175507 | + | 0.112791i | ||||
\(950\) | 11.0836 | − | 24.2697i | 0.359599 | − | 0.787412i | ||||
\(951\) | 21.4420 | + | 18.5796i | 0.695305 | + | 0.602485i | ||||
\(952\) | −4.12628 | + | 7.21877i | −0.133733 | + | 0.233962i | ||||
\(953\) | 0.469808 | − | 0.214554i | 0.0152186 | − | 0.00695009i | −0.407791 | − | 0.913075i | \(-0.633701\pi\) |
0.423010 | + | 0.906125i | \(0.360974\pi\) | |||||||
\(954\) | 1.85350 | − | 6.31243i | 0.0600092 | − | 0.204372i | ||||
\(955\) | −0.497023 | + | 1.69270i | −0.0160833 | + | 0.0547746i | ||||
\(956\) | 12.2619 | + | 26.8498i | 0.396578 | + | 0.868386i | ||||
\(957\) | −2.75103 | + | 19.1338i | −0.0889282 | + | 0.618509i | ||||
\(958\) | −18.9049 | + | 21.8174i | −0.610790 | + | 0.704889i | ||||
\(959\) | −13.9077 | − | 14.4603i | −0.449102 | − | 0.466949i | ||||
\(960\) | −0.0582927 | + | 0.0907052i | −0.00188139 | + | 0.00292750i | ||||
\(961\) | 4.19710 | + | 29.1915i | 0.135390 | + | 0.941661i | ||||
\(962\) | 4.77046 | − | 3.06579i | 0.153806 | − | 0.0988450i | ||||
\(963\) | −8.08932 | + | 7.00944i | −0.260675 | + | 0.225876i | ||||
\(964\) | 24.8655 | − | 7.30117i | 0.800864 | − | 0.235155i | ||||
\(965\) | −1.21016 | −0.0389564 | ||||||||
\(966\) | 9.28944 | + | 8.64328i | 0.298883 | + | 0.278093i | ||||
\(967\) | −8.87754 | −0.285482 | −0.142741 | − | 0.989760i | \(-0.545592\pi\) | ||||
−0.142741 | + | 0.989760i | \(0.545592\pi\) | |||||||
\(968\) | −6.11751 | + | 1.79626i | −0.196624 | + | 0.0577341i | ||||
\(969\) | −12.7035 | + | 11.0076i | −0.408094 | + | 0.353616i | ||||
\(970\) | −0.318539 | + | 0.204713i | −0.0102277 | + | 0.00657293i | ||||
\(971\) | −0.957369 | − | 6.65865i | −0.0307234 | − | 0.213686i | 0.968676 | − | 0.248326i | \(-0.0798805\pi\) |
−0.999400 | + | 0.0346403i | \(0.988971\pi\) | |||||||
\(972\) | 0.540641 | − | 0.841254i | 0.0173411 | − | 0.0269832i | ||||
\(973\) | −27.2589 | − | 28.3422i | −0.873881 | − | 0.908608i | ||||
\(974\) | −10.2279 | + | 11.8036i | −0.327722 | + | 0.378212i | ||||
\(975\) | −0.575956 | + | 4.00586i | −0.0184453 | + | 0.128290i | ||||
\(976\) | 0.319416 | + | 0.699422i | 0.0102242 | + | 0.0223880i | ||||
\(977\) | 1.70363 | − | 5.80202i | 0.0545038 | − | 0.185623i | −0.927742 | − | 0.373223i | \(-0.878253\pi\) |
0.982246 | + | 0.187600i | \(0.0600708\pi\) | |||||||
\(978\) | 4.82595 | − | 16.4357i | 0.154317 | − | 0.525555i | ||||
\(979\) | 26.9850 | − | 12.3237i | 0.862445 | − | 0.393866i | ||||
\(980\) | 0.589221 | − | 0.471664i | 0.0188220 | − | 0.0150668i | ||||
\(981\) | −6.15828 | − | 5.33618i | −0.196619 | − | 0.170371i | ||||
\(982\) | −7.01298 | + | 15.3563i | −0.223793 | + | 0.490039i | ||||
\(983\) | 11.8647 | + | 7.62495i | 0.378424 | + | 0.243198i | 0.716000 | − | 0.698100i | \(-0.245971\pi\) |
−0.337577 | + | 0.941298i | \(0.609607\pi\) | |||||||
\(984\) | 1.55970 | + | 10.8479i | 0.0497214 | + | 0.345820i | ||||
\(985\) | −0.835527 | + | 0.536961i | −0.0266221 | + | 0.0171090i | ||||
\(986\) | −18.5003 | − | 21.3505i | −0.589171 | − | 0.679940i | ||||
\(987\) | −13.6851 | − | 1.24713i | −0.435602 | − | 0.0396967i | ||||
\(988\) | 4.33929i | 0.138051i | ||||||||
\(989\) | 5.64370 | − | 24.0925i | 0.179459 | − | 0.766097i | ||||
\(990\) | − | 0.231860i | − | 0.00736898i | ||||||
\(991\) | 45.4250 | − | 13.3380i | 1.44297 | − | 0.423695i | 0.535761 | − | 0.844370i | \(-0.320025\pi\) |
0.907212 | + | 0.420674i | \(0.138207\pi\) | |||||||
\(992\) | −5.87795 | + | 5.09327i | −0.186625 | + | 0.161711i | ||||
\(993\) | −16.7878 | − | 26.1224i | −0.532745 | − | 0.828968i | ||||
\(994\) | 0.993361 | − | 4.17330i | 0.0315075 | − | 0.132369i | ||||
\(995\) | 1.35346 | + | 0.869819i | 0.0429077 | + | 0.0275751i | ||||
\(996\) | 6.26226 | + | 2.85988i | 0.198427 | + | 0.0906188i | ||||
\(997\) | −35.3996 | − | 30.6740i | −1.12112 | − | 0.971454i | −0.121342 | − | 0.992611i | \(-0.538720\pi\) |
−0.999776 | + | 0.0211567i | \(0.993265\pi\) | |||||||
\(998\) | 0.899581 | − | 6.25672i | 0.0284757 | − | 0.198053i | ||||
\(999\) | −2.90359 | − | 6.35798i | −0.0918656 | − | 0.201158i |
(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 | 966.2.s.a.727.4 | yes | 160 | |
7.6 | odd | 2 | inner | 966.2.s.a.727.13 | yes | 160 | |
23.5 | odd | 22 | inner | 966.2.s.a.97.13 | yes | 160 | |
161.97 | even | 22 | inner | 966.2.s.a.97.4 | ✓ | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.s.a.97.4 | ✓ | 160 | 161.97 | even | 22 | inner | |
966.2.s.a.97.13 | yes | 160 | 23.5 | odd | 22 | inner | |
966.2.s.a.727.4 | yes | 160 | 1.1 | even | 1 | trivial | |
966.2.s.a.727.13 | yes | 160 | 7.6 | odd | 2 | inner |