Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [192,2,Mod(11,192)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(192, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("192.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 192 = 2^{6} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 192.s (of order \(16\), 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: | \(1.53312771881\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 11.18 | ||
Character | \(\chi\) | \(=\) | 192.11 |
Dual form | 192.2.s.a.35.18 |
$q$-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 \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(133\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.300423 | − | 1.38194i | 0.212431 | − | 0.977176i | ||||
\(3\) | 1.04431 | − | 1.38182i | 0.602933 | − | 0.797792i | ||||
\(4\) | −1.81949 | − | 0.830329i | −0.909746 | − | 0.415165i | ||||
\(5\) | 0.191752 | − | 0.128125i | 0.0857541 | − | 0.0572990i | −0.511954 | − | 0.859013i | \(-0.671078\pi\) |
0.597708 | + | 0.801714i | \(0.296078\pi\) | |||||||
\(6\) | −1.59585 | − | 1.85830i | −0.651502 | − | 0.758647i | ||||
\(7\) | 0.553671 | − | 1.33668i | 0.209268 | − | 0.505218i | −0.784040 | − | 0.620710i | \(-0.786845\pi\) |
0.993308 | + | 0.115492i | \(0.0368445\pi\) | |||||||
\(8\) | −1.69408 | + | 2.26497i | −0.598947 | + | 0.800789i | ||||
\(9\) | −0.818831 | − | 2.88609i | −0.272944 | − | 0.962030i | ||||
\(10\) | −0.119453 | − | 0.303480i | −0.0377744 | − | 0.0959689i | ||||
\(11\) | −1.03105 | + | 5.18344i | −0.310874 | + | 1.56287i | 0.437270 | + | 0.899330i | \(0.355945\pi\) |
−0.748144 | + | 0.663537i | \(0.769055\pi\) | |||||||
\(12\) | −3.04748 | + | 1.64708i | −0.879731 | + | 0.475472i | ||||
\(13\) | 2.44503 | − | 3.65924i | 0.678128 | − | 1.01489i | −0.319602 | − | 0.947552i | \(-0.603549\pi\) |
0.997730 | − | 0.0673385i | \(-0.0214507\pi\) | |||||||
\(14\) | −1.68087 | − | 1.16671i | −0.449232 | − | 0.311815i | ||||
\(15\) | 0.0232040 | − | 0.398768i | 0.00599125 | − | 0.102961i | ||||
\(16\) | 2.62111 | + | 3.02156i | 0.655277 | + | 0.755389i | ||||
\(17\) | 0.574015 | + | 0.574015i | 0.139219 | + | 0.139219i | 0.773282 | − | 0.634063i | \(-0.218614\pi\) |
−0.634063 | + | 0.773282i | \(0.718614\pi\) | |||||||
\(18\) | −4.23439 | + | 0.264525i | −0.998054 | + | 0.0623493i | ||||
\(19\) | 0.483359 | − | 0.723398i | 0.110890 | − | 0.165959i | −0.771874 | − | 0.635776i | \(-0.780680\pi\) |
0.882764 | + | 0.469817i | \(0.155680\pi\) | |||||||
\(20\) | −0.455277 | + | 0.0739044i | −0.101803 | + | 0.0165255i | ||||
\(21\) | −1.26884 | − | 2.16098i | −0.276884 | − | 0.471565i | ||||
\(22\) | 6.85343 | + | 2.98207i | 1.46116 | + | 0.635779i | ||||
\(23\) | 1.03636 | + | 2.50200i | 0.216096 | + | 0.521703i | 0.994338 | − | 0.106262i | \(-0.0338882\pi\) |
−0.778242 | + | 0.627965i | \(0.783888\pi\) | |||||||
\(24\) | 1.36063 | + | 4.70624i | 0.277738 | + | 0.960657i | ||||
\(25\) | −1.89306 | + | 4.57026i | −0.378613 | + | 0.914052i | ||||
\(26\) | −4.32229 | − | 4.47819i | −0.847671 | − | 0.878244i | ||||
\(27\) | −4.84316 | − | 1.88250i | −0.932066 | − | 0.362287i | ||||
\(28\) | −2.11729 | + | 1.97235i | −0.400129 | + | 0.372739i | ||||
\(29\) | 7.17171 | − | 1.42654i | 1.33175 | − | 0.264902i | 0.522639 | − | 0.852554i | \(-0.324948\pi\) |
0.809114 | + | 0.587652i | \(0.199948\pi\) | |||||||
\(30\) | −0.544100 | − | 0.151865i | −0.0993387 | − | 0.0277267i | ||||
\(31\) | −3.36411 | −0.604212 | −0.302106 | − | 0.953274i | \(-0.597690\pi\) | ||||
−0.302106 | + | 0.953274i | \(0.597690\pi\) | |||||||
\(32\) | 4.96304 | − | 2.71446i | 0.877349 | − | 0.479853i | ||||
\(33\) | 6.08583 | + | 6.83785i | 1.05941 | + | 1.19032i | ||||
\(34\) | 0.965698 | − | 0.620804i | 0.165616 | − | 0.106467i | ||||
\(35\) | −0.0650940 | − | 0.327250i | −0.0110029 | − | 0.0553153i | ||||
\(36\) | −0.906548 | + | 5.93112i | −0.151091 | + | 0.988520i | ||||
\(37\) | 8.83768 | − | 5.90515i | 1.45291 | − | 0.970800i | 0.456184 | − | 0.889885i | \(-0.349216\pi\) |
0.996721 | − | 0.0809149i | \(-0.0257842\pi\) | |||||||
\(38\) | −0.854478 | − | 0.885297i | −0.138615 | − | 0.143614i | ||||
\(39\) | −2.50303 | − | 7.19996i | −0.400805 | − | 1.15292i | ||||
\(40\) | −0.0346442 | + | 0.651366i | −0.00547773 | + | 0.102990i | ||||
\(41\) | −5.95812 | + | 2.46793i | −0.930502 | + | 0.385426i | −0.795869 | − | 0.605469i | \(-0.792986\pi\) |
−0.134633 | + | 0.990896i | \(0.542986\pi\) | |||||||
\(42\) | −3.36753 | + | 1.10425i | −0.519620 | + | 0.170390i | ||||
\(43\) | 0.0311664 | − | 0.156684i | 0.00475283 | − | 0.0238941i | −0.978336 | − | 0.207023i | \(-0.933623\pi\) |
0.983089 | + | 0.183129i | \(0.0586225\pi\) | |||||||
\(44\) | 6.17995 | − | 8.57512i | 0.931663 | − | 1.29275i | ||||
\(45\) | −0.526791 | − | 0.448501i | −0.0785294 | − | 0.0668586i | ||||
\(46\) | 3.76895 | − | 0.680528i | 0.555701 | − | 0.100338i | ||||
\(47\) | −1.67622 | + | 1.67622i | −0.244502 | + | 0.244502i | −0.818710 | − | 0.574208i | \(-0.805310\pi\) |
0.574208 | + | 0.818710i | \(0.305310\pi\) | |||||||
\(48\) | 6.91248 | − | 0.466445i | 0.997731 | − | 0.0673255i | ||||
\(49\) | 3.46959 | + | 3.46959i | 0.495655 | + | 0.495655i | ||||
\(50\) | 5.74709 | + | 3.98910i | 0.812761 | + | 0.564144i | ||||
\(51\) | 1.39263 | − | 0.193733i | 0.195007 | − | 0.0271281i | ||||
\(52\) | −7.48708 | + | 4.62778i | −1.03827 | + | 0.641758i | ||||
\(53\) | 1.49024 | + | 0.296427i | 0.204700 | + | 0.0407174i | 0.296375 | − | 0.955072i | \(-0.404222\pi\) |
−0.0916751 | + | 0.995789i | \(0.529222\pi\) | |||||||
\(54\) | −4.05649 | + | 6.12739i | −0.552018 | + | 0.833832i | ||||
\(55\) | 0.466420 | + | 1.12604i | 0.0628921 | + | 0.151835i | ||||
\(56\) | 2.08958 | + | 3.51849i | 0.279232 | + | 0.470178i | ||||
\(57\) | −0.494826 | − | 1.42337i | −0.0655413 | − | 0.188529i | ||||
\(58\) | 0.183154 | − | 10.3394i | 0.0240493 | − | 1.35763i | ||||
\(59\) | 2.21874 | + | 3.32057i | 0.288855 | + | 0.432302i | 0.947310 | − | 0.320318i | \(-0.103790\pi\) |
−0.658455 | + | 0.752620i | \(0.728790\pi\) | |||||||
\(60\) | −0.373328 | + | 0.706288i | −0.0481964 | + | 0.0911814i | ||||
\(61\) | −10.5121 | + | 2.09099i | −1.34594 | + | 0.267724i | −0.814890 | − | 0.579616i | \(-0.803203\pi\) |
−0.531051 | + | 0.847340i | \(0.678203\pi\) | |||||||
\(62\) | −1.01065 | + | 4.64898i | −0.128353 | + | 0.590421i | ||||
\(63\) | −4.31114 | − | 0.503429i | −0.543153 | − | 0.0634261i | ||||
\(64\) | −2.26020 | − | 7.67408i | −0.282525 | − | 0.959260i | ||||
\(65\) | − | 1.01493i | − | 0.125887i | ||||||
\(66\) | 11.2778 | − | 6.35598i | 1.38820 | − | 0.782367i | ||||
\(67\) | 2.25871 | + | 11.3553i | 0.275945 | + | 1.38727i | 0.831377 | + | 0.555708i | \(0.187553\pi\) |
−0.555432 | + | 0.831562i | \(0.687447\pi\) | |||||||
\(68\) | −0.567794 | − | 1.52104i | −0.0688552 | − | 0.184453i | ||||
\(69\) | 4.53958 | + | 1.18080i | 0.546502 | + | 0.142152i | ||||
\(70\) | −0.471794 | − | 0.00835745i | −0.0563902 | − | 0.000998906i | ||||
\(71\) | −6.75989 | − | 2.80004i | −0.802252 | − | 0.332304i | −0.0563938 | − | 0.998409i | \(-0.517960\pi\) |
−0.745858 | + | 0.666105i | \(0.767960\pi\) | |||||||
\(72\) | 7.92408 | + | 3.03463i | 0.933862 | + | 0.357635i | ||||
\(73\) | 9.86240 | − | 4.08514i | 1.15431 | − | 0.478130i | 0.278331 | − | 0.960485i | \(-0.410219\pi\) |
0.875976 | + | 0.482355i | \(0.160219\pi\) | |||||||
\(74\) | −5.50550 | − | 13.9871i | −0.640001 | − | 1.62597i | ||||
\(75\) | 4.33831 | + | 7.38864i | 0.500945 | + | 0.853166i | ||||
\(76\) | −1.48013 | + | 0.914871i | −0.169782 | + | 0.104943i | ||||
\(77\) | 6.35774 | + | 4.24811i | 0.724532 | + | 0.484117i | ||||
\(78\) | −10.7018 | + | 1.29600i | −1.21175 | + | 0.146743i | ||||
\(79\) | −10.2996 | + | 10.2996i | −1.15879 | + | 1.15879i | −0.174054 | + | 0.984736i | \(0.555687\pi\) |
−0.984736 | + | 0.174054i | \(0.944313\pi\) | |||||||
\(80\) | 0.889738 | + | 0.243561i | 0.0994757 | + | 0.0272310i | ||||
\(81\) | −7.65903 | + | 4.72644i | −0.851003 | + | 0.525160i | ||||
\(82\) | 1.62057 | + | 8.97516i | 0.178962 | + | 0.991140i | ||||
\(83\) | −6.71543 | − | 4.48711i | −0.737114 | − | 0.492524i | 0.129452 | − | 0.991586i | \(-0.458678\pi\) |
−0.866566 | + | 0.499062i | \(0.833678\pi\) | |||||||
\(84\) | 0.514322 | + | 4.98544i | 0.0561172 | + | 0.543957i | ||||
\(85\) | 0.183614 | + | 0.0365230i | 0.0199157 | + | 0.00396148i | ||||
\(86\) | −0.207164 | − | 0.0901413i | −0.0223391 | − | 0.00972018i | ||||
\(87\) | 5.51827 | − | 11.3997i | 0.591621 | − | 1.22218i | ||||
\(88\) | −9.99367 | − | 11.1165i | −1.06533 | − | 1.18502i | ||||
\(89\) | −16.6580 | − | 6.89998i | −1.76575 | − | 0.731396i | −0.995619 | − | 0.0935081i | \(-0.970192\pi\) |
−0.770129 | − | 0.637888i | \(-0.779808\pi\) | |||||||
\(90\) | −0.778059 | + | 0.593252i | −0.0820147 | + | 0.0625343i | ||||
\(91\) | −3.53749 | − | 5.29423i | −0.370830 | − | 0.554986i | ||||
\(92\) | 0.191830 | − | 5.41289i | 0.0199997 | − | 0.564333i | ||||
\(93\) | −3.51317 | + | 4.64858i | −0.364299 | + | 0.482035i | ||||
\(94\) | 1.81286 | + | 2.82000i | 0.186982 | + | 0.290861i | ||||
\(95\) | − | 0.200643i | − | 0.0205856i | ||||||
\(96\) | 1.43207 | − | 9.69274i | 0.146160 | − | 0.989261i | ||||
\(97\) | − | 2.96200i | − | 0.300746i | −0.988629 | − | 0.150373i | \(-0.951953\pi\) | ||
0.988629 | − | 0.150373i | \(-0.0480474\pi\) | |||||||
\(98\) | 5.83709 | − | 3.75240i | 0.589635 | − | 0.379050i | ||||
\(99\) | 15.8041 | − | 1.26866i | 1.58838 | − | 0.127505i | ||||
\(100\) | 7.23924 | − | 6.74369i | 0.723924 | − | 0.674369i | ||||
\(101\) | 0.485948 | + | 0.727273i | 0.0483536 | + | 0.0723663i | 0.854859 | − | 0.518861i | \(-0.173644\pi\) |
−0.806505 | + | 0.591227i | \(0.798644\pi\) | |||||||
\(102\) | 0.150651 | − | 1.98273i | 0.0149167 | − | 0.196320i | ||||
\(103\) | −13.2301 | − | 5.48007i | −1.30360 | − | 0.539967i | −0.380587 | − | 0.924745i | \(-0.624278\pi\) |
−0.923009 | + | 0.384778i | \(0.874278\pi\) | |||||||
\(104\) | 4.14601 | + | 11.7370i | 0.406550 | + | 1.15090i | ||||
\(105\) | −0.520177 | − | 0.251802i | −0.0507641 | − | 0.0245734i | ||||
\(106\) | 0.857345 | − | 1.97036i | 0.0832727 | − | 0.191378i | ||||
\(107\) | −9.65582 | − | 1.92066i | −0.933463 | − | 0.185677i | −0.295147 | − | 0.955452i | \(-0.595369\pi\) |
−0.638316 | + | 0.769774i | \(0.720369\pi\) | |||||||
\(108\) | 7.24900 | + | 7.44661i | 0.697535 | + | 0.716551i | ||||
\(109\) | −1.89496 | − | 1.26617i | −0.181504 | − | 0.121277i | 0.461499 | − | 0.887141i | \(-0.347312\pi\) |
−0.643003 | + | 0.765863i | \(0.722312\pi\) | |||||||
\(110\) | 1.69624 | − | 0.306276i | 0.161730 | − | 0.0292022i | ||||
\(111\) | 1.06945 | − | 18.3789i | 0.101508 | − | 1.74444i | ||||
\(112\) | 5.49008 | − | 1.83063i | 0.518764 | − | 0.172979i | ||||
\(113\) | −5.56945 | + | 5.56945i | −0.523930 | + | 0.523930i | −0.918756 | − | 0.394826i | \(-0.870805\pi\) |
0.394826 | + | 0.918756i | \(0.370805\pi\) | |||||||
\(114\) | −2.11566 | + | 0.256207i | −0.198149 | + | 0.0239960i | ||||
\(115\) | 0.519292 | + | 0.346980i | 0.0484242 | + | 0.0323560i | ||||
\(116\) | −14.2334 | − | 3.35930i | −1.32153 | − | 0.311903i | ||||
\(117\) | −12.5630 | − | 4.06026i | −1.16145 | − | 0.375372i | ||||
\(118\) | 5.25538 | − | 2.06858i | 0.483797 | − | 0.190428i | ||||
\(119\) | 1.08509 | − | 0.449459i | 0.0994700 | − | 0.0412018i | ||||
\(120\) | 0.863888 | + | 0.728100i | 0.0788619 | + | 0.0664661i | ||||
\(121\) | −15.6423 | − | 6.47927i | −1.42203 | − | 0.589024i | ||||
\(122\) | −0.268463 | + | 15.1553i | −0.0243055 | + | 1.37209i | ||||
\(123\) | −2.81190 | + | 10.8103i | −0.253540 | + | 0.974733i | ||||
\(124\) | 6.12097 | + | 2.79332i | 0.549679 | + | 0.250847i | ||||
\(125\) | 0.447521 | + | 2.24984i | 0.0400275 | + | 0.201232i | ||||
\(126\) | −1.99087 | + | 5.80648i | −0.177361 | + | 0.517282i | ||||
\(127\) | 11.9596i | 1.06125i | 0.847608 | + | 0.530623i | \(0.178042\pi\) | ||||
−0.847608 | + | 0.530623i | \(0.821958\pi\) | |||||||
\(128\) | −11.2841 | + | 0.817982i | −0.997383 | + | 0.0723001i | ||||
\(129\) | −0.183961 | − | 0.206693i | −0.0161969 | − | 0.0181983i | ||||
\(130\) | −1.40257 | − | 0.304909i | −0.123014 | − | 0.0267423i | ||||
\(131\) | 13.0740 | − | 2.60057i | 1.14228 | − | 0.227213i | 0.412540 | − | 0.910940i | \(-0.364642\pi\) |
0.729738 | + | 0.683726i | \(0.239642\pi\) | |||||||
\(132\) | −5.39545 | − | 17.4947i | −0.469614 | − | 1.52271i | ||||
\(133\) | −0.699330 | − | 1.04662i | −0.0606396 | − | 0.0907536i | ||||
\(134\) | 16.3709 | + | 0.289996i | 1.41423 | + | 0.0250519i | ||||
\(135\) | −1.16988 | + | 0.259555i | −0.100687 | + | 0.0223389i | ||||
\(136\) | −2.27255 | + | 0.327702i | −0.194870 | + | 0.0281002i | ||||
\(137\) | 3.44719 | + | 8.32224i | 0.294513 | + | 0.711017i | 0.999997 | + | 0.00229181i | \(0.000729508\pi\) |
−0.705484 | + | 0.708725i | \(0.749270\pi\) | |||||||
\(138\) | 2.99559 | − | 5.91867i | 0.255001 | − | 0.503831i | ||||
\(139\) | 14.3912 | + | 2.86258i | 1.22064 | + | 0.242801i | 0.763037 | − | 0.646355i | \(-0.223708\pi\) |
0.457605 | + | 0.889156i | \(0.348708\pi\) | |||||||
\(140\) | −0.153287 | + | 0.649478i | −0.0129551 | + | 0.0548909i | ||||
\(141\) | 0.565734 | + | 4.06673i | 0.0476434 | + | 0.342480i | ||||
\(142\) | −5.90030 | + | 8.50054i | −0.495142 | + | 0.713350i | ||||
\(143\) | 16.4465 | + | 16.4465i | 1.37533 | + | 1.37533i | ||||
\(144\) | 6.57424 | − | 10.0389i | 0.547853 | − | 0.836574i | ||||
\(145\) | 1.19241 | − | 1.19241i | 0.0990246 | − | 0.0990246i | ||||
\(146\) | −2.68251 | − | 14.8565i | −0.222006 | − | 1.22953i | ||||
\(147\) | 8.41765 | − | 1.17100i | 0.694276 | − | 0.0965828i | ||||
\(148\) | −20.9833 | + | 3.40619i | −1.72482 | + | 0.279987i | ||||
\(149\) | 2.55805 | − | 12.8602i | 0.209564 | − | 1.05355i | −0.722532 | − | 0.691338i | \(-0.757022\pi\) |
0.932096 | − | 0.362212i | \(-0.117978\pi\) | |||||||
\(150\) | 11.5140 | − | 3.77556i | 0.940110 | − | 0.308273i | ||||
\(151\) | 10.5364 | − | 4.36431i | 0.857438 | − | 0.355163i | 0.0897332 | − | 0.995966i | \(-0.471399\pi\) |
0.767705 | + | 0.640803i | \(0.221399\pi\) | |||||||
\(152\) | 0.819629 | + | 2.32029i | 0.0664807 | + | 0.188200i | ||||
\(153\) | 1.18664 | − | 2.12668i | 0.0959339 | − | 0.171932i | ||||
\(154\) | 7.78062 | − | 7.50976i | 0.626980 | − | 0.605154i | ||||
\(155\) | −0.645074 | + | 0.431025i | −0.0518136 | + | 0.0346208i | ||||
\(156\) | −1.42409 | + | 15.1786i | −0.114019 | + | 1.21526i | ||||
\(157\) | −2.91847 | − | 14.6722i | −0.232919 | − | 1.17097i | −0.903320 | − | 0.428966i | \(-0.858878\pi\) |
0.670401 | − | 0.741999i | \(-0.266122\pi\) | |||||||
\(158\) | 11.1391 | + | 17.3275i | 0.886179 | + | 1.37850i | ||||
\(159\) | 1.96588 | − | 1.74967i | 0.155904 | − | 0.138758i | ||||
\(160\) | 0.603883 | − | 1.15639i | 0.0477411 | − | 0.0914206i | ||||
\(161\) | 3.91817 | 0.308795 | ||||||||
\(162\) | 4.23069 | + | 12.0042i | 0.332395 | + | 0.943140i | ||||
\(163\) | 4.99614 | − | 0.993794i | 0.391328 | − | 0.0778400i | 0.00449531 | − | 0.999990i | \(-0.498569\pi\) |
0.386833 | + | 0.922150i | \(0.373569\pi\) | |||||||
\(164\) | 12.8899 | + | 0.456813i | 1.00654 | + | 0.0356711i | ||||
\(165\) | 2.04306 | + | 0.531426i | 0.159052 | + | 0.0413715i | ||||
\(166\) | −8.21836 | + | 7.93226i | −0.637868 | + | 0.615663i | ||||
\(167\) | 1.98334 | − | 4.78821i | 0.153476 | − | 0.370523i | −0.828376 | − | 0.560172i | \(-0.810735\pi\) |
0.981852 | + | 0.189649i | \(0.0607350\pi\) | |||||||
\(168\) | 7.04408 | + | 0.786979i | 0.543462 | + | 0.0607168i | ||||
\(169\) | −2.43700 | − | 5.88343i | −0.187461 | − | 0.452572i | ||||
\(170\) | 0.105634 | − | 0.242770i | 0.00810177 | − | 0.0186196i | ||||
\(171\) | −2.48358 | − | 0.802677i | −0.189924 | − | 0.0613823i | ||||
\(172\) | −0.186806 | + | 0.259207i | −0.0142438 | + | 0.0197643i | ||||
\(173\) | −12.1977 | + | 18.2551i | −0.927370 | + | 1.38791i | −0.00567889 | + | 0.999984i | \(0.501808\pi\) |
−0.921691 | + | 0.387924i | \(0.873192\pi\) | |||||||
\(174\) | −14.0959 | − | 11.0506i | −1.06861 | − | 0.837746i | ||||
\(175\) | 5.06084 | + | 5.06084i | 0.382564 | + | 0.382564i | ||||
\(176\) | −18.3646 | + | 10.4710i | −1.38428 | + | 0.789280i | ||||
\(177\) | 6.90547 | + | 0.401824i | 0.519047 | + | 0.0302030i | ||||
\(178\) | −14.5398 | + | 20.9474i | −1.08980 | + | 1.57007i | ||||
\(179\) | 13.1825 | − | 19.7290i | 0.985305 | − | 1.47461i | 0.108307 | − | 0.994117i | \(-0.465457\pi\) |
0.876997 | − | 0.480495i | \(-0.159543\pi\) | |||||||
\(180\) | 0.586090 | + | 1.25345i | 0.0436845 | + | 0.0934270i | ||||
\(181\) | −1.57644 | + | 7.92529i | −0.117176 | + | 0.589082i | 0.876925 | + | 0.480626i | \(0.159591\pi\) |
−0.994101 | + | 0.108456i | \(0.965409\pi\) | |||||||
\(182\) | −8.37903 | + | 3.29808i | −0.621095 | + | 0.244470i | ||||
\(183\) | −8.08856 | + | 16.7095i | −0.597924 | + | 1.23520i | ||||
\(184\) | −7.42263 | − | 1.89125i | −0.547204 | − | 0.139425i | ||||
\(185\) | 0.938047 | − | 2.26465i | 0.0689666 | − | 0.166500i | ||||
\(186\) | 5.36860 | + | 6.25152i | 0.393645 | + | 0.458384i | ||||
\(187\) | −3.56721 | + | 2.38353i | −0.260860 | + | 0.174301i | ||||
\(188\) | 4.44169 | − | 1.65806i | 0.323943 | − | 0.120926i | ||||
\(189\) | −5.19782 | + | 5.43147i | −0.378086 | + | 0.395081i | ||||
\(190\) | −0.277276 | − | 0.0602777i | −0.0201157 | − | 0.00437301i | ||||
\(191\) | 5.46792 | 0.395645 | 0.197822 | − | 0.980238i | \(-0.436613\pi\) | ||||
0.197822 | + | 0.980238i | \(0.436613\pi\) | |||||||
\(192\) | −12.9645 | − | 4.89094i | −0.935633 | − | 0.352974i | ||||
\(193\) | 0.333854 | 0.0240314 | 0.0120157 | − | 0.999928i | \(-0.496175\pi\) | ||||
0.0120157 | + | 0.999928i | \(0.496175\pi\) | |||||||
\(194\) | −4.09329 | − | 0.889852i | −0.293881 | − | 0.0638876i | ||||
\(195\) | −1.40245 | − | 1.05991i | −0.100432 | − | 0.0759015i | ||||
\(196\) | −3.43199 | − | 9.19378i | −0.245142 | − | 0.656699i | ||||
\(197\) | 15.0151 | − | 10.0328i | 1.06978 | − | 0.714804i | 0.109541 | − | 0.993982i | \(-0.465062\pi\) |
0.960239 | + | 0.279178i | \(0.0900619\pi\) | |||||||
\(198\) | 2.99471 | − | 22.2214i | 0.212825 | − | 1.57921i | ||||
\(199\) | 2.68205 | − | 6.47503i | 0.190125 | − | 0.459003i | −0.799858 | − | 0.600190i | \(-0.795092\pi\) |
0.989983 | + | 0.141187i | \(0.0450918\pi\) | |||||||
\(200\) | −7.14452 | − | 12.0301i | −0.505194 | − | 0.850658i | ||||
\(201\) | 18.0497 | + | 8.73733i | 1.27313 | + | 0.616284i | ||||
\(202\) | 1.15103 | − | 0.453060i | 0.0809864 | − | 0.0318772i | ||||
\(203\) | 2.06394 | − | 10.3761i | 0.144860 | − | 0.728260i | ||||
\(204\) | −2.69475 | − | 0.803847i | −0.188670 | − | 0.0562806i | ||||
\(205\) | −0.826278 | + | 1.23661i | −0.0577097 | + | 0.0863687i | ||||
\(206\) | −11.5477 | + | 16.6367i | −0.804567 | + | 1.15914i | ||||
\(207\) | 6.37239 | − | 5.03975i | 0.442911 | − | 0.350287i | ||||
\(208\) | 17.4653 | − | 2.20348i | 1.21100 | − | 0.152784i | ||||
\(209\) | 3.25133 | + | 3.25133i | 0.224899 | + | 0.224899i | ||||
\(210\) | −0.504248 | + | 0.643205i | −0.0347964 | + | 0.0443853i | ||||
\(211\) | −14.0328 | + | 21.0015i | −0.966055 | + | 1.44580i | −0.0722302 | + | 0.997388i | \(0.523012\pi\) |
−0.893825 | + | 0.448416i | \(0.851988\pi\) | |||||||
\(212\) | −2.46535 | − | 1.77674i | −0.169321 | − | 0.122027i | ||||
\(213\) | −10.9286 | + | 6.41682i | −0.748813 | + | 0.439673i | ||||
\(214\) | −5.55506 | + | 12.7667i | −0.379736 | + | 0.872714i | ||||
\(215\) | −0.0140988 | − | 0.0340376i | −0.000961533 | − | 0.00232135i | ||||
\(216\) | 12.4685 | − | 7.78052i | 0.848374 | − | 0.529397i | ||||
\(217\) | −1.86261 | + | 4.49674i | −0.126442 | + | 0.305258i | ||||
\(218\) | −2.31906 | + | 2.23833i | −0.157067 | + | 0.151599i | ||||
\(219\) | 4.65450 | − | 17.8942i | 0.314522 | − | 1.20918i | ||||
\(220\) | 0.0863341 | − | 2.43610i | 0.00582065 | − | 0.164242i | ||||
\(221\) | 3.50394 | − | 0.696976i | 0.235700 | − | 0.0468837i | ||||
\(222\) | −25.0771 | − | 6.99934i | −1.68307 | − | 0.469765i | ||||
\(223\) | 6.75319 | 0.452227 | 0.226114 | − | 0.974101i | \(-0.427398\pi\) | ||||
0.226114 | + | 0.974101i | \(0.427398\pi\) | |||||||
\(224\) | −0.880473 | − | 8.13691i | −0.0588290 | − | 0.543670i | ||||
\(225\) | 14.7403 | + | 1.72128i | 0.982686 | + | 0.114752i | ||||
\(226\) | 6.02343 | + | 9.36981i | 0.400673 | + | 0.623271i | ||||
\(227\) | 2.87228 | + | 14.4399i | 0.190640 | + | 0.958413i | 0.951066 | + | 0.308988i | \(0.0999903\pi\) |
−0.760426 | + | 0.649425i | \(0.775010\pi\) | |||||||
\(228\) | −0.281530 | + | 3.00067i | −0.0186448 | + | 0.198724i | ||||
\(229\) | 18.5328 | − | 12.3832i | 1.22468 | − | 0.818305i | 0.236505 | − | 0.971630i | \(-0.423998\pi\) |
0.988176 | + | 0.153325i | \(0.0489981\pi\) | |||||||
\(230\) | 0.635510 | − | 0.613387i | 0.0419043 | − | 0.0404456i | ||||
\(231\) | 12.5096 | − | 4.34889i | 0.823069 | − | 0.286136i | ||||
\(232\) | −8.91836 | + | 18.6604i | −0.585519 | + | 1.22511i | ||||
\(233\) | −14.5009 | + | 6.00647i | −0.949985 | + | 0.393497i | −0.803225 | − | 0.595675i | \(-0.796884\pi\) |
−0.146760 | + | 0.989172i | \(0.546884\pi\) | |||||||
\(234\) | −9.38522 | + | 16.1414i | −0.613531 | + | 1.05520i | ||||
\(235\) | −0.106654 | + | 0.536184i | −0.00695731 | + | 0.0349768i | ||||
\(236\) | −1.27981 | − | 7.88404i | −0.0833082 | − | 0.513207i | ||||
\(237\) | 3.47616 | + | 24.9880i | 0.225801 | + | 1.62315i | ||||
\(238\) | −0.295138 | − | 1.63455i | −0.0191309 | − | 0.105952i | ||||
\(239\) | 2.34886 | − | 2.34886i | 0.151935 | − | 0.151935i | −0.627047 | − | 0.778982i | \(-0.715736\pi\) |
0.778982 | + | 0.627047i | \(0.215736\pi\) | |||||||
\(240\) | 1.26572 | − | 0.975100i | 0.0817018 | − | 0.0629425i | ||||
\(241\) | 0.738265 | + | 0.738265i | 0.0475558 | + | 0.0475558i | 0.730485 | − | 0.682929i | \(-0.239294\pi\) |
−0.682929 | + | 0.730485i | \(0.739294\pi\) | |||||||
\(242\) | −13.6532 | + | 19.6702i | −0.877664 | + | 1.26445i | ||||
\(243\) | −1.46734 | + | 15.5192i | −0.0941296 | + | 0.995560i | ||||
\(244\) | 20.8630 | + | 4.92398i | 1.33561 | + | 0.315226i | ||||
\(245\) | 1.10984 | + | 0.220761i | 0.0709050 | + | 0.0141039i | ||||
\(246\) | 14.0944 | + | 7.13352i | 0.898626 | + | 0.454817i | ||||
\(247\) | −1.46526 | − | 3.53745i | −0.0932324 | − | 0.225083i | ||||
\(248\) | 5.69906 | − | 7.61961i | 0.361891 | − | 0.483846i | ||||
\(249\) | −13.2133 | + | 4.59356i | −0.837362 | + | 0.291105i | ||||
\(250\) | 3.24358 | + | 0.0574573i | 0.205142 | + | 0.00363392i | ||||
\(251\) | −16.4751 | − | 24.6567i | −1.03990 | − | 1.55632i | −0.812885 | − | 0.582425i | \(-0.802104\pi\) |
−0.227013 | − | 0.973892i | \(-0.572896\pi\) | |||||||
\(252\) | 7.42608 | + | 4.49565i | 0.467799 | + | 0.283200i | ||||
\(253\) | −14.0375 | + | 2.79223i | −0.882530 | + | 0.175546i | ||||
\(254\) | 16.5275 | + | 3.59295i | 1.03702 | + | 0.225441i | ||||
\(255\) | 0.242218 | − | 0.215579i | 0.0151683 | − | 0.0135001i | ||||
\(256\) | −2.25960 | + | 15.8396i | −0.141225 | + | 0.989978i | ||||
\(257\) | − | 20.1401i | − | 1.25631i | −0.778090 | − | 0.628153i | \(-0.783811\pi\) | ||
0.778090 | − | 0.628153i | \(-0.216189\pi\) | |||||||
\(258\) | −0.340902 | + | 0.192127i | −0.0212236 | + | 0.0119613i | ||||
\(259\) | −3.00013 | − | 15.0827i | −0.186419 | − | 0.937191i | ||||
\(260\) | −0.842729 | + | 1.84666i | −0.0522639 | + | 0.114525i | ||||
\(261\) | −9.98954 | − | 19.5301i | −0.618337 | − | 1.20888i | ||||
\(262\) | 0.333889 | − | 18.8487i | 0.0206277 | − | 1.16447i | ||||
\(263\) | −9.10331 | − | 3.77072i | −0.561334 | − | 0.232512i | 0.0839301 | − | 0.996472i | \(-0.473253\pi\) |
−0.645264 | + | 0.763959i | \(0.723253\pi\) | |||||||
\(264\) | −25.7974 | + | 2.20038i | −1.58772 | + | 0.135424i | ||||
\(265\) | 0.323736 | − | 0.134096i | 0.0198869 | − | 0.00823744i | ||||
\(266\) | −1.65646 | + | 0.652001i | −0.101564 | + | 0.0399767i | ||||
\(267\) | −26.9307 | + | 15.8126i | −1.64813 | + | 0.967716i | ||||
\(268\) | 5.31893 | − | 22.5363i | 0.324905 | − | 1.37663i | ||||
\(269\) | 0.715328 | + | 0.477967i | 0.0436143 | + | 0.0291421i | 0.577186 | − | 0.816613i | \(-0.304151\pi\) |
−0.533572 | + | 0.845755i | \(0.679151\pi\) | |||||||
\(270\) | 0.00722949 | + | 1.69467i | 0.000439973 | + | 0.103135i | ||||
\(271\) | 19.9786 | − | 19.9786i | 1.21361 | − | 1.21361i | 0.243784 | − | 0.969830i | \(-0.421611\pi\) |
0.969830 | − | 0.243784i | \(-0.0783887\pi\) | |||||||
\(272\) | −0.229864 | + | 3.23897i | −0.0139375 | + | 0.196391i | ||||
\(273\) | −11.0099 | − | 0.640658i | −0.666349 | − | 0.0387744i | ||||
\(274\) | 12.5364 | − | 2.26360i | 0.757353 | − | 0.136749i | ||||
\(275\) | −21.7378 | − | 14.5248i | −1.31084 | − | 0.875876i | ||||
\(276\) | −7.27929 | − | 5.91781i | −0.438161 | − | 0.356210i | ||||
\(277\) | 14.0327 | + | 2.79128i | 0.843143 | + | 0.167712i | 0.597721 | − | 0.801704i | \(-0.296073\pi\) |
0.245423 | + | 0.969416i | \(0.421073\pi\) | |||||||
\(278\) | 8.27932 | − | 19.0277i | 0.496561 | − | 1.14120i | ||||
\(279\) | 2.75464 | + | 9.70912i | 0.164916 | + | 0.581270i | ||||
\(280\) | 0.851486 | + | 0.406951i | 0.0508860 | + | 0.0243200i | ||||
\(281\) | 12.1273 | + | 5.02329i | 0.723453 | + | 0.299664i | 0.713859 | − | 0.700290i | \(-0.246946\pi\) |
0.00959451 | + | 0.999954i | \(0.496946\pi\) | |||||||
\(282\) | 5.78991 | + | 0.439928i | 0.344784 | + | 0.0261973i | ||||
\(283\) | −9.79102 | − | 14.6533i | −0.582016 | − | 0.871048i | 0.417272 | − | 0.908782i | \(-0.362986\pi\) |
−0.999288 | + | 0.0377334i | \(0.987986\pi\) | |||||||
\(284\) | 9.97462 | + | 10.7076i | 0.591885 | + | 0.635379i | ||||
\(285\) | −0.277252 | − | 0.209534i | −0.0164230 | − | 0.0124117i | ||||
\(286\) | 27.6689 | − | 17.7871i | 1.63610 | − | 1.05177i | ||||
\(287\) | 9.33052i | 0.550763i | ||||||||
\(288\) | −11.8981 | − | 12.1011i | −0.701100 | − | 0.713063i | ||||
\(289\) | − | 16.3410i | − | 0.961236i | ||||||
\(290\) | −1.28961 | − | 2.00607i | −0.0757286 | − | 0.117800i | ||||
\(291\) | −4.09294 | − | 3.09325i | −0.239932 | − | 0.181329i | ||||
\(292\) | −21.3366 | − | 0.756158i | −1.24863 | − | 0.0442508i | ||||
\(293\) | 2.44289 | + | 3.65604i | 0.142715 | + | 0.213588i | 0.895940 | − | 0.444175i | \(-0.146503\pi\) |
−0.753225 | + | 0.657763i | \(0.771503\pi\) | |||||||
\(294\) | 0.910600 | − | 11.9845i | 0.0531073 | − | 0.698947i | ||||
\(295\) | 0.850894 | + | 0.352452i | 0.0495410 | + | 0.0205205i | ||||
\(296\) | −1.59672 | + | 30.0209i | −0.0928076 | + | 1.74493i | ||||
\(297\) | 14.7514 | − | 23.1633i | 0.855962 | − | 1.34407i | ||||
\(298\) | −17.0035 | − | 7.39856i | −0.984985 | − | 0.428587i | ||||
\(299\) | 11.6893 | + | 2.32515i | 0.676012 | + | 0.134467i | ||||
\(300\) | −1.75853 | − | 17.0458i | −0.101529 | − | 0.984140i | ||||
\(301\) | −0.192180 | − | 0.128411i | −0.0110771 | − | 0.00740147i | ||||
\(302\) | −2.86583 | − | 15.8717i | −0.164910 | − | 0.913316i | ||||
\(303\) | 1.51244 | + | 0.0880077i | 0.0868873 | + | 0.00505591i | ||||
\(304\) | 3.45272 | − | 0.435607i | 0.198027 | − | 0.0249838i | ||||
\(305\) | −1.74781 | + | 1.74781i | −0.100080 | + | 0.100080i | ||||
\(306\) | −2.58244 | − | 2.27876i | −0.147628 | − | 0.130268i | ||||
\(307\) | −9.38360 | − | 6.26992i | −0.535550 | − | 0.357843i | 0.258196 | − | 0.966093i | \(-0.416872\pi\) |
−0.793746 | + | 0.608249i | \(0.791872\pi\) | |||||||
\(308\) | −8.04054 | − | 13.0084i | −0.458152 | − | 0.741224i | ||||
\(309\) | −21.3887 | + | 12.5586i | −1.21676 | + | 0.714434i | ||||
\(310\) | 0.401854 | + | 1.02094i | 0.0228238 | + | 0.0579855i | ||||
\(311\) | −14.4653 | + | 5.99173i | −0.820252 | + | 0.339760i | −0.753036 | − | 0.657979i | \(-0.771412\pi\) |
−0.0672160 | + | 0.997738i | \(0.521412\pi\) | |||||||
\(312\) | 20.5480 | + | 6.52800i | 1.16330 | + | 0.369575i | ||||
\(313\) | 9.94014 | + | 4.11734i | 0.561850 | + | 0.232726i | 0.645488 | − | 0.763770i | \(-0.276654\pi\) |
−0.0836383 | + | 0.996496i | \(0.526654\pi\) | |||||||
\(314\) | −21.1527 | − | 0.374704i | −1.19372 | − | 0.0211458i | ||||
\(315\) | −0.891171 | + | 0.455830i | −0.0502118 | + | 0.0256831i | ||||
\(316\) | 27.2920 | − | 10.1879i | 1.53529 | − | 0.573116i | ||||
\(317\) | −5.22307 | − | 26.2581i | −0.293357 | − | 1.47480i | −0.793345 | − | 0.608772i | \(-0.791662\pi\) |
0.499989 | − | 0.866032i | \(-0.333338\pi\) | |||||||
\(318\) | −1.82734 | − | 3.24236i | −0.102472 | − | 0.181823i | ||||
\(319\) | 38.6450i | 2.16370i | ||||||||
\(320\) | −1.41664 | − | 1.18193i | −0.0791923 | − | 0.0660720i | ||||
\(321\) | −12.7377 | + | 11.3368i | −0.710948 | + | 0.632758i | ||||
\(322\) | 1.17711 | − | 5.41467i | 0.0655977 | − | 0.301747i | ||||
\(323\) | 0.692696 | − | 0.137786i | 0.0385427 | − | 0.00766661i | ||||
\(324\) | 17.8601 | − | 2.24021i | 0.992225 | − | 0.124456i | ||||
\(325\) | 12.0951 | + | 18.1016i | 0.670915 | + | 1.00409i | ||||
\(326\) | 0.127594 | − | 7.20290i | 0.00706675 | − | 0.398932i | ||||
\(327\) | −3.72855 | + | 1.29621i | −0.206189 | + | 0.0716806i | ||||
\(328\) | 4.50372 | − | 17.6758i | 0.248676 | − | 0.975985i | ||||
\(329\) | 1.31250 | + | 3.16865i | 0.0723603 | + | 0.174693i | ||||
\(330\) | 1.34818 | − | 2.66373i | 0.0742149 | − | 0.146634i | ||||
\(331\) | −5.35518 | − | 1.06521i | −0.294348 | − | 0.0585494i | 0.0457076 | − | 0.998955i | \(-0.485446\pi\) |
−0.340055 | + | 0.940405i | \(0.610446\pi\) | |||||||
\(332\) | 8.49290 | + | 13.7403i | 0.466108 | + | 0.754096i | ||||
\(333\) | −24.2794 | − | 20.6710i | −1.33050 | − | 1.13276i | ||||
\(334\) | −6.02116 | − | 4.17934i | −0.329463 | − | 0.228683i | ||||
\(335\) | 1.88800 | + | 1.88800i | 0.103153 | + | 0.103153i | ||||
\(336\) | 3.20375 | − | 9.49804i | 0.174779 | − | 0.518160i | ||||
\(337\) | −0.219844 | + | 0.219844i | −0.0119757 | + | 0.0119757i | −0.713069 | − | 0.701094i | \(-0.752696\pi\) |
0.701094 | + | 0.713069i | \(0.252696\pi\) | |||||||
\(338\) | −8.86265 | + | 1.60026i | −0.482065 | + | 0.0870426i | ||||
\(339\) | 1.87972 | + | 13.5122i | 0.102092 | + | 0.733882i | ||||
\(340\) | −0.303758 | − | 0.218913i | −0.0164736 | − | 0.0118722i | ||||
\(341\) | 3.46857 | − | 17.4377i | 0.187833 | − | 0.944303i | ||||
\(342\) | −1.85537 | + | 3.19101i | −0.100327 | + | 0.172550i | ||||
\(343\) | 15.9155 | − | 6.59241i | 0.859356 | − | 0.355957i | ||||
\(344\) | 0.302086 | + | 0.336026i | 0.0162874 | + | 0.0181173i | ||||
\(345\) | 1.02176 | − | 0.355211i | 0.0550099 | − | 0.0191239i | ||||
\(346\) | 21.5629 | + | 22.3406i | 1.15923 | + | 1.20104i | ||||
\(347\) | 9.20349 | − | 6.14958i | 0.494069 | − | 0.330127i | −0.283448 | − | 0.958987i | \(-0.591478\pi\) |
0.777518 | + | 0.628861i | \(0.216478\pi\) | |||||||
\(348\) | −19.5060 | + | 16.1597i | −1.04563 | + | 0.866253i | ||||
\(349\) | 1.24480 | + | 6.25805i | 0.0666328 | + | 0.334986i | 0.999694 | − | 0.0247315i | \(-0.00787309\pi\) |
−0.933061 | + | 0.359717i | \(0.882873\pi\) | |||||||
\(350\) | 8.51415 | − | 5.47337i | 0.455101 | − | 0.292564i | ||||
\(351\) | −18.7302 | + | 13.1195i | −0.999742 | + | 0.700268i | ||||
\(352\) | 8.95309 | + | 28.5244i | 0.477201 | + | 1.52035i | ||||
\(353\) | −2.07113 | −0.110235 | −0.0551176 | − | 0.998480i | \(-0.517553\pi\) | ||||
−0.0551176 | + | 0.998480i | \(0.517553\pi\) | |||||||
\(354\) | 2.62985 | − | 9.42220i | 0.139775 | − | 0.500784i | ||||
\(355\) | −1.65498 | + | 0.329195i | −0.0878370 | + | 0.0174719i | ||||
\(356\) | 24.5799 | + | 26.3861i | 1.30273 | + | 1.39846i | ||||
\(357\) | 0.512101 | − | 1.96877i | 0.0271033 | − | 0.104198i | ||||
\(358\) | −23.3039 | − | 24.1444i | −1.23165 | − | 1.27607i | ||||
\(359\) | −1.84595 | + | 4.45652i | −0.0974255 | + | 0.235206i | −0.965077 | − | 0.261967i | \(-0.915629\pi\) |
0.867651 | + | 0.497173i | \(0.165629\pi\) | |||||||
\(360\) | 1.90827 | − | 0.433372i | 0.100575 | − | 0.0228407i | ||||
\(361\) | 6.98132 | + | 16.8544i | 0.367438 | + | 0.887073i | ||||
\(362\) | 10.4786 | + | 4.55947i | 0.550745 | + | 0.239641i | ||||
\(363\) | −25.2886 | + | 14.8485i | −1.32731 | + | 0.779342i | ||||
\(364\) | 2.04049 | + | 12.5701i | 0.106951 | + | 0.658852i | ||||
\(365\) | 1.36773 | − | 2.04695i | 0.0715902 | − | 0.107142i | ||||
\(366\) | 20.6614 | + | 16.1978i | 1.07999 | + | 0.846671i | ||||
\(367\) | −8.54729 | − | 8.54729i | −0.446165 | − | 0.446165i | 0.447913 | − | 0.894077i | \(-0.352168\pi\) |
−0.894077 | + | 0.447913i | \(0.852168\pi\) | |||||||
\(368\) | −4.84351 | + | 9.68943i | −0.252486 | + | 0.505096i | ||||
\(369\) | 12.0014 | + | 15.1748i | 0.624766 | + | 0.789971i | ||||
\(370\) | −2.84779 | − | 1.97667i | −0.148049 | − | 0.102762i | ||||
\(371\) | 1.22133 | − | 1.82785i | 0.0634083 | − | 0.0948973i | ||||
\(372\) | 10.2520 | − | 5.54096i | 0.531544 | − | 0.287286i | ||||
\(373\) | −3.63905 | + | 18.2947i | −0.188423 | + | 0.947265i | 0.764632 | + | 0.644467i | \(0.222921\pi\) |
−0.953055 | + | 0.302798i | \(0.902079\pi\) | |||||||
\(374\) | 2.22222 | + | 5.64572i | 0.114908 | + | 0.291933i | ||||
\(375\) | 3.57621 | + | 1.73114i | 0.184675 | + | 0.0893956i | ||||
\(376\) | −0.956945 | − | 6.63624i | −0.0493507 | − | 0.342238i | ||||
\(377\) | 12.3149 | − | 29.7309i | 0.634252 | − | 1.53122i | ||||
\(378\) | 5.94440 | + | 8.81479i | 0.305747 | + | 0.453384i | ||||
\(379\) | 13.9727 | − | 9.33623i | 0.717727 | − | 0.479570i | −0.142297 | − | 0.989824i | \(-0.545449\pi\) |
0.860024 | + | 0.510254i | \(0.170449\pi\) | |||||||
\(380\) | −0.166600 | + | 0.365069i | −0.00854640 | + | 0.0187276i | ||||
\(381\) | 16.5260 | + | 12.4896i | 0.846654 | + | 0.639861i | ||||
\(382\) | 1.64269 | − | 7.55631i | 0.0840471 | − | 0.386615i | ||||
\(383\) | −20.1545 | −1.02984 | −0.514922 | − | 0.857237i | \(-0.672179\pi\) | ||||
−0.514922 | + | 0.857237i | \(0.672179\pi\) | |||||||
\(384\) | −10.6538 | + | 16.4468i | −0.543675 | + | 0.839296i | ||||
\(385\) | 1.76340 | 0.0898710 | ||||||||
\(386\) | 0.100297 | − | 0.461365i | 0.00510500 | − | 0.0234829i | ||||
\(387\) | −0.477724 | + | 0.0383487i | −0.0242841 | + | 0.00194937i | ||||
\(388\) | −2.45944 | + | 5.38934i | −0.124859 | + | 0.273602i | ||||
\(389\) | −28.7669 | + | 19.2214i | −1.45854 | + | 0.974564i | −0.462409 | + | 0.886667i | \(0.653015\pi\) |
−0.996130 | + | 0.0878973i | \(0.971985\pi\) | |||||||
\(390\) | −1.88605 | + | 1.61968i | −0.0955039 | + | 0.0820156i | ||||
\(391\) | −0.841297 | + | 2.03107i | −0.0425462 | + | 0.102716i | ||||
\(392\) | −13.7363 | + | 1.98077i | −0.693786 | + | 0.100044i | ||||
\(393\) | 10.0598 | − | 20.7816i | 0.507448 | − | 1.04829i | ||||
\(394\) | −9.35376 | − | 23.7639i | −0.471235 | − | 1.19721i | ||||
\(395\) | −0.655334 | + | 3.29458i | −0.0329734 | + | 0.165769i | ||||
\(396\) | −29.8089 | − | 10.8143i | −1.49795 | − | 0.543440i | ||||
\(397\) | −13.4947 | + | 20.1963i | −0.677281 | + | 1.01362i | 0.320513 | + | 0.947244i | \(0.396145\pi\) |
−0.997794 | + | 0.0663793i | \(0.978855\pi\) | |||||||
\(398\) | −8.14233 | − | 5.65166i | −0.408138 | − | 0.283292i | ||||
\(399\) | −2.17656 | − | 0.126652i | −0.108964 | − | 0.00634054i | ||||
\(400\) | −18.7712 | + | 6.25914i | −0.938561 | + | 0.312957i | ||||
\(401\) | −5.18962 | − | 5.18962i | −0.259157 | − | 0.259157i | 0.565554 | − | 0.824711i | \(-0.308662\pi\) |
−0.824711 | + | 0.565554i | \(0.808662\pi\) | |||||||
\(402\) | 17.4970 | − | 22.3187i | 0.872670 | − | 1.11315i | ||||
\(403\) | −8.22533 | + | 12.3101i | −0.409733 | + | 0.613209i | ||||
\(404\) | −0.280303 | − | 1.72676i | −0.0139456 | − | 0.0859097i | ||||
\(405\) | −0.863061 | + | 1.88761i | −0.0428858 | + | 0.0937963i | ||||
\(406\) | −13.7191 | − | 5.96945i | −0.680866 | − | 0.296259i | ||||
\(407\) | 21.4969 | + | 51.8981i | 1.06556 | + | 2.57249i | ||||
\(408\) | −1.92043 | + | 3.48247i | −0.0950753 | + | 0.172408i | ||||
\(409\) | −1.29174 | + | 3.11853i | −0.0638723 | + | 0.154201i | −0.952593 | − | 0.304248i | \(-0.901595\pi\) |
0.888721 | + | 0.458449i | \(0.151595\pi\) | |||||||
\(410\) | 1.46069 | + | 1.51337i | 0.0721381 | + | 0.0747400i | ||||
\(411\) | 15.0997 | + | 3.92763i | 0.744815 | + | 0.193736i | ||||
\(412\) | 19.5217 | + | 20.9562i | 0.961766 | + | 1.03244i | ||||
\(413\) | 5.66699 | − | 1.12724i | 0.278855 | − | 0.0554676i | ||||
\(414\) | −5.05020 | − | 10.3203i | −0.248204 | − | 0.507214i | ||||
\(415\) | −1.86261 | −0.0914317 | ||||||||
\(416\) | 2.20190 | − | 24.7979i | 0.107957 | − | 1.21581i | ||||
\(417\) | 18.9844 | − | 16.8965i | 0.929669 | − | 0.827425i | ||||
\(418\) | 5.46989 | − | 3.51635i | 0.267541 | − | 0.171990i | ||||
\(419\) | 0.551004 | + | 2.77009i | 0.0269183 | + | 0.135328i | 0.991908 | − | 0.126962i | \(-0.0405225\pi\) |
−0.964989 | + | 0.262289i | \(0.915523\pi\) | |||||||
\(420\) | 0.737380 | + | 0.890071i | 0.0359805 | + | 0.0434310i | ||||
\(421\) | −30.4212 | + | 20.3268i | −1.48264 | + | 0.990669i | −0.489721 | + | 0.871879i | \(0.662901\pi\) |
−0.992919 | + | 0.118790i | \(0.962099\pi\) | |||||||
\(422\) | 24.8070 | + | 25.7017i | 1.20759 | + | 1.25114i | ||||
\(423\) | 6.21027 | + | 3.46518i | 0.301954 | + | 0.168483i | ||||
\(424\) | −3.19598 | + | 2.87318i | −0.155211 | + | 0.139534i | ||||
\(425\) | −3.71004 | + | 1.53675i | −0.179964 | + | 0.0745433i | ||||
\(426\) | 5.58444 | + | 17.0303i | 0.270567 | + | 0.825122i | ||||
\(427\) | −3.02527 | + | 15.2091i | −0.146403 | + | 0.736019i | ||||
\(428\) | 15.9739 | + | 11.5121i | 0.772128 | + | 0.556460i | ||||
\(429\) | 39.9013 | − | 5.55079i | 1.92645 | − | 0.267995i | ||||
\(430\) | −0.0512734 | + | 0.00925803i | −0.00247262 | + | 0.000446462i | ||||
\(431\) | −7.16680 | + | 7.16680i | −0.345213 | + | 0.345213i | −0.858323 | − | 0.513110i | \(-0.828493\pi\) |
0.513110 | + | 0.858323i | \(0.328493\pi\) | |||||||
\(432\) | −7.00636 | − | 19.5681i | −0.337094 | − | 0.941471i | ||||
\(433\) | 13.3301 | + | 13.3301i | 0.640602 | + | 0.640602i | 0.950704 | − | 0.310101i | \(-0.100363\pi\) |
−0.310101 | + | 0.950704i | \(0.600363\pi\) | |||||||
\(434\) | 5.65463 | + | 3.92493i | 0.271431 | + | 0.188403i | ||||
\(435\) | −0.402446 | − | 2.89295i | −0.0192958 | − | 0.138706i | ||||
\(436\) | 2.39653 | + | 3.87724i | 0.114773 | + | 0.185686i | ||||
\(437\) | 2.31088 | + | 0.459662i | 0.110544 | + | 0.0219886i | ||||
\(438\) | −23.3303 | − | 11.8080i | −1.11476 | − | 0.564210i | ||||
\(439\) | −6.59135 | − | 15.9129i | −0.314588 | − | 0.759483i | −0.999523 | − | 0.0308788i | \(-0.990169\pi\) |
0.684935 | − | 0.728604i | \(-0.259831\pi\) | |||||||
\(440\) | −3.34060 | − | 0.851168i | −0.159257 | − | 0.0405778i | ||||
\(441\) | 7.17253 | − | 12.8545i | 0.341549 | − | 0.612121i | ||||
\(442\) | 0.0894850 | − | 5.05160i | 0.00425637 | − | 0.240280i | ||||
\(443\) | 14.1947 | + | 21.2438i | 0.674409 | + | 1.00933i | 0.998005 | + | 0.0631297i | \(0.0201082\pi\) |
−0.323596 | + | 0.946195i | \(0.604892\pi\) | |||||||
\(444\) | −17.2064 | + | 32.5522i | −0.816578 | + | 1.54486i | ||||
\(445\) | −4.07827 | + | 0.811217i | −0.193328 | + | 0.0384554i | ||||
\(446\) | 2.02881 | − | 9.33248i | 0.0960670 | − | 0.441906i | ||||
\(447\) | −15.0990 | − | 16.9648i | −0.714160 | − | 0.802408i | ||||
\(448\) | −11.5092 | − | 1.22775i | −0.543758 | − | 0.0580059i | ||||
\(449\) | 7.48087i | 0.353044i | 0.984297 | + | 0.176522i | \(0.0564847\pi\) | ||||
−0.984297 | + | 0.176522i | \(0.943515\pi\) | |||||||
\(450\) | 6.80701 | − | 19.8530i | 0.320886 | − | 0.935880i | ||||
\(451\) | −6.64927 | − | 33.4281i | −0.313102 | − | 1.57407i | ||||
\(452\) | 14.7581 | − | 5.50910i | 0.694160 | − | 0.259126i | ||||
\(453\) | 4.97258 | − | 19.1170i | 0.233632 | − | 0.898197i | ||||
\(454\) | 20.8180 | + | 0.368774i | 0.977036 | + | 0.0173074i | ||||
\(455\) | −1.35664 | − | 0.561940i | −0.0636004 | − | 0.0263441i | ||||
\(456\) | 4.06216 | + | 1.29053i | 0.190228 | + | 0.0604344i | ||||
\(457\) | −23.3423 | + | 9.66871i | −1.09191 | + | 0.452283i | −0.854672 | − | 0.519169i | \(-0.826242\pi\) |
−0.237237 | + | 0.971452i | \(0.576242\pi\) | |||||||
\(458\) | −11.5451 | − | 29.3313i | −0.539469 | − | 1.37056i | ||||
\(459\) | −1.69946 | − | 3.86063i | −0.0793241 | − | 0.180199i | ||||
\(460\) | −0.656740 | − | 1.06251i | −0.0306207 | − | 0.0495398i | ||||
\(461\) | 27.2573 | + | 18.2128i | 1.26950 | + | 0.848253i | 0.993602 | − | 0.112935i | \(-0.0360251\pi\) |
0.275897 | + | 0.961187i | \(0.411025\pi\) | |||||||
\(462\) | −2.25173 | − | 18.5939i | −0.104760 | − | 0.865067i | ||||
\(463\) | 8.87049 | − | 8.87049i | 0.412246 | − | 0.412246i | −0.470274 | − | 0.882520i | \(-0.655845\pi\) |
0.882520 | + | 0.470274i | \(0.155845\pi\) | |||||||
\(464\) | 23.1082 | + | 17.9306i | 1.07277 | + | 0.832407i | ||||
\(465\) | −0.0780608 | + | 1.34150i | −0.00361998 | + | 0.0622105i | ||||
\(466\) | 3.94416 | + | 21.8438i | 0.182710 | + | 1.01189i | ||||
\(467\) | −13.4537 | − | 8.98949i | −0.622564 | − | 0.415984i | 0.203885 | − | 0.978995i | \(-0.434643\pi\) |
−0.826450 | + | 0.563011i | \(0.809643\pi\) | |||||||
\(468\) | 19.4868 | + | 17.8190i | 0.900780 | + | 0.823684i | ||||
\(469\) | 16.4290 | + | 3.26793i | 0.758620 | + | 0.150899i | ||||
\(470\) | 0.708930 | + | 0.308470i | 0.0327005 | + | 0.0142287i | ||||
\(471\) | −23.3220 | − | 11.2895i | −1.07462 | − | 0.520192i | ||||
\(472\) | −11.2797 | − | 0.599935i | −0.519191 | − | 0.0276143i | ||||
\(473\) | 0.780028 | + | 0.323098i | 0.0358657 | + | 0.0148561i | ||||
\(474\) | 35.5761 | + | 2.70314i | 1.63407 | + | 0.124159i | ||||
\(475\) | 2.39109 | + | 3.57852i | 0.109711 | + | 0.164194i | ||||
\(476\) | −2.34751 | − | 0.0831946i | −0.107598 | − | 0.00381322i | ||||
\(477\) | −0.364739 | − | 4.54369i | −0.0167003 | − | 0.208041i | ||||
\(478\) | −2.54032 | − | 3.95162i | −0.116192 | − | 0.180743i | ||||
\(479\) | − | 16.5647i | − | 0.756860i | −0.925630 | − | 0.378430i | \(-0.876464\pi\) | ||
0.925630 | − | 0.378430i | \(-0.123536\pi\) | |||||||
\(480\) | −0.967276 | − | 2.04208i | −0.0441499 | − | 0.0932080i | ||||
\(481\) | − | 46.7774i | − | 2.13287i | ||||||
\(482\) | 1.24203 | − | 0.798444i | 0.0565728 | − | 0.0363681i | ||||
\(483\) | 4.09179 | − | 5.41420i | 0.186183 | − | 0.246354i | ||||
\(484\) | 23.0812 | + | 24.7773i | 1.04915 | + | 1.12624i | ||||
\(485\) | −0.379505 | − | 0.567969i | −0.0172324 | − | 0.0257902i | ||||
\(486\) | 21.0058 | + | 6.69009i | 0.952841 | + | 0.303469i | ||||
\(487\) | −18.6465 | − | 7.72362i | −0.844952 | − | 0.349991i | −0.0821480 | − | 0.996620i | \(-0.526178\pi\) |
−0.762804 | + | 0.646629i | \(0.776178\pi\) | |||||||
\(488\) | 13.0723 | − | 27.3520i | 0.591757 | − | 1.23817i | ||||
\(489\) | 3.84428 | − | 7.94158i | 0.173844 | − | 0.359131i | ||||
\(490\) | 0.638498 | − | 1.46740i | 0.0288444 | − | 0.0662906i | ||||
\(491\) | −1.26568 | − | 0.251759i | −0.0571192 | − | 0.0113617i | 0.166448 | − | 0.986050i | \(-0.446770\pi\) |
−0.223567 | + | 0.974689i | \(0.571770\pi\) | |||||||
\(492\) | 14.0923 | − | 17.3345i | 0.635332 | − | 0.781499i | ||||
\(493\) | 4.93552 | + | 3.29781i | 0.222285 | + | 0.148526i | ||||
\(494\) | −5.32873 | + | 0.962166i | −0.239751 | + | 0.0432899i | ||||
\(495\) | 2.86793 | − | 2.26817i | 0.128904 | − | 0.101946i | ||||
\(496\) | −8.81769 | − | 10.1648i | −0.395926 | − | 0.456415i | ||||
\(497\) | −7.48552 | + | 7.48552i | −0.335771 | + | 0.335771i | ||||
\(498\) | 2.37841 | + | 19.6400i | 0.106579 | + | 0.880090i | ||||
\(499\) | −15.0585 | − | 10.0618i | −0.674113 | − | 0.450428i | 0.170819 | − | 0.985302i | \(-0.445359\pi\) |
−0.844931 | + | 0.534875i | \(0.820359\pi\) | |||||||
\(500\) | 1.05385 | − | 4.46515i | 0.0471294 | − | 0.199688i | ||||
\(501\) | −4.54520 | − | 7.74099i | −0.203065 | − | 0.345842i | ||||
\(502\) | −39.0234 | + | 15.3601i | −1.74170 | + | 0.685553i | ||||
\(503\) | 30.1207 | − | 12.4764i | 1.34302 | − | 0.556295i | 0.408676 | − | 0.912679i | \(-0.365990\pi\) |
0.934340 | + | 0.356384i | \(0.115990\pi\) | |||||||
\(504\) | 8.44367 | − | 8.91177i | 0.376111 | − | 0.396962i | ||||
\(505\) | 0.186363 | + | 0.0771941i | 0.00829304 | + | 0.00343509i | ||||
\(506\) | −0.358496 | + | 20.2378i | −0.0159371 | + | 0.899679i | ||||
\(507\) | −10.6748 | − | 2.77665i | −0.474085 | − | 0.123315i | ||||
\(508\) | 9.93044 | − | 21.7605i | 0.440592 | − | 0.965465i | ||||
\(509\) | −6.54852 | − | 32.9216i | −0.290258 | − | 1.45922i | −0.800572 | − | 0.599237i | \(-0.795471\pi\) |
0.510314 | − | 0.859988i | \(-0.329529\pi\) | |||||||
\(510\) | −0.225149 | − | 0.399494i | −0.00996975 | − | 0.0176899i | ||||
\(511\) | − | 15.4447i | − | 0.683233i | ||||||
\(512\) | 21.2105 | + | 7.88121i | 0.937382 | + | 0.348303i | ||||
\(513\) | −3.70278 | + | 2.59361i | −0.163482 | + | 0.114511i | ||||
\(514\) | −27.8323 | − | 6.05054i | −1.22763 | − | 0.266878i | ||||
\(515\) | −3.23902 | + | 0.644281i | −0.142728 | + | 0.0283904i | ||||
\(516\) | 0.163092 | + | 0.528824i | 0.00717975 | + | 0.0232802i | ||||
\(517\) | −6.96033 | − | 10.4169i | −0.306115 | − | 0.458133i | ||||
\(518\) | −21.7446 | − | 0.385187i | −0.955402 | − | 0.0169242i | ||||
\(519\) | 12.4870 | + | 35.9189i | 0.548119 | + | 1.57666i | ||||
\(520\) | 2.29880 | + | 1.71938i | 0.100809 | + | 0.0753997i | ||||
\(521\) | 10.9098 | + | 26.3385i | 0.477966 | + | 1.15391i | 0.960561 | + | 0.278069i | \(0.0896943\pi\) |
−0.482595 | + | 0.875844i | \(0.660306\pi\) | |||||||
\(522\) | −29.9904 | + | 7.93762i | −1.31264 | + | 0.347420i | ||||
\(523\) | 29.1626 | + | 5.80081i | 1.27519 | + | 0.253652i | 0.785838 | − | 0.618433i | \(-0.212232\pi\) |
0.489355 | + | 0.872085i | \(0.337232\pi\) | |||||||
\(524\) | −25.9473 | − | 6.12397i | −1.13351 | − | 0.267527i | ||||
\(525\) | 12.2782 | − | 1.70806i | 0.535867 | − | 0.0745460i | ||||
\(526\) | −7.94573 | + | 11.4474i | −0.346450 | + | 0.499130i | ||||
\(527\) | −1.93105 | − | 1.93105i | −0.0841178 | − | 0.0841178i | ||||
\(528\) | −4.70933 | + | 36.3114i | −0.204947 | + | 1.58025i | ||||
\(529\) | 11.0775 | − | 11.0775i | 0.481631 | − | 0.481631i | ||||
\(530\) | −0.0880542 | − | 0.487668i | −0.00382483 | − | 0.0211829i | ||||
\(531\) | 7.76670 | − | 9.12246i | 0.337046 | − | 0.395881i | ||||
\(532\) | 0.403386 | + | 2.48499i | 0.0174890 | + | 0.107738i | ||||
\(533\) | −5.53699 | + | 27.8363i | −0.239834 | + | 1.20573i | ||||
\(534\) | 13.7614 | + | 41.9669i | 0.595515 | + | 1.81609i | ||||
\(535\) | −2.09761 | + | 0.868857i | −0.0906874 | + | 0.0375639i | ||||
\(536\) | −29.5459 | − | 14.1208i | −1.27619 | − | 0.609928i | ||||
\(537\) | −13.4952 | − | 38.8189i | −0.582361 | − | 1.67516i | ||||
\(538\) | 0.875420 | − | 0.844945i | 0.0377420 | − | 0.0364282i | ||||
\(539\) | −21.5617 | + | 14.4071i | −0.928729 | + | 0.620557i | ||||
\(540\) | 2.34410 | + | 0.499128i | 0.100874 | + | 0.0214790i | ||||
\(541\) | −3.26111 | − | 16.3947i | −0.140206 | − | 0.704863i | −0.985380 | − | 0.170371i | \(-0.945503\pi\) |
0.845174 | − | 0.534491i | \(-0.179497\pi\) | |||||||
\(542\) | −21.6071 | − | 33.6112i | −0.928105 | − | 1.44372i | ||||
\(543\) | 9.30500 | + | 10.4548i | 0.399316 | + | 0.448659i | ||||
\(544\) | 4.40699 | + | 1.29072i | 0.188948 | + | 0.0553390i | ||||
\(545\) | −0.525591 | −0.0225138 | ||||||||
\(546\) | −4.19297 | + | 15.0225i | −0.179442 | + | 0.642904i | ||||
\(547\) | −10.1906 | + | 2.02703i | −0.435717 | + | 0.0866695i | −0.408075 | − | 0.912948i | \(-0.633800\pi\) |
−0.0276419 | + | 0.999618i | \(0.508800\pi\) | |||||||
\(548\) | 0.638072 | − | 18.0046i | 0.0272571 | − | 0.769117i | ||||
\(549\) | 14.6425 | + | 28.6268i | 0.624925 | + | 1.22176i | ||||
\(550\) | −26.6028 | + | 25.6767i | −1.13435 | + | 1.09486i | ||||
\(551\) | 2.43455 | − | 5.87753i | 0.103715 | − | 0.250391i | ||||
\(552\) | −10.3649 | + | 8.28166i | −0.441159 | + | 0.352491i | ||||
\(553\) | 8.06464 | + | 19.4698i | 0.342943 | + | 0.827939i | ||||
\(554\) | 8.07311 | − | 18.5537i | 0.342993 | − | 0.788273i | ||||
\(555\) | −2.14971 | − | 3.66120i | −0.0912502 | − | 0.155409i | ||||
\(556\) | −23.8077 | − | 17.1578i | −1.00967 | − | 0.727654i | ||||
\(557\) | −1.56244 | + | 2.33835i | −0.0662026 | + | 0.0990791i | −0.863094 | − | 0.505044i | \(-0.831476\pi\) |
0.796891 | + | 0.604123i | \(0.206476\pi\) | |||||||
\(558\) | 14.2449 | − | 0.889893i | 0.603036 | − | 0.0376722i | ||||
\(559\) | −0.497141 | − | 0.497141i | −0.0210268 | − | 0.0210268i | ||||
\(560\) | 0.818185 | − | 1.05444i | 0.0345746 | − | 0.0445583i | ||||
\(561\) | −0.431670 | + | 7.41838i | −0.0182251 | + | 0.313204i | ||||
\(562\) | 10.5852 | − | 15.2500i | 0.446508 | − | 0.643283i | ||||
\(563\) | −10.6594 | + | 15.9529i | −0.449238 | + | 0.672333i | −0.985102 | − | 0.171972i | \(-0.944986\pi\) |
0.535864 | + | 0.844305i | \(0.319986\pi\) | |||||||
\(564\) | 2.34737 | − | 7.86912i | 0.0988422 | − | 0.331350i | ||||
\(565\) | −0.354370 | + | 1.78154i | −0.0149084 | + | 0.0749498i | ||||
\(566\) | −23.1914 | + | 9.12838i | −0.974806 | + | 0.383694i | ||||
\(567\) | 2.07716 | + | 12.8546i | 0.0872323 | + | 0.539841i | ||||
\(568\) | 17.7938 | − | 10.5675i | 0.746611 | − | 0.443402i | ||||
\(569\) | −0.509723 | + | 1.23058i | −0.0213687 | + | 0.0515886i | −0.934204 | − | 0.356740i | \(-0.883888\pi\) |
0.912835 | + | 0.408329i | \(0.133888\pi\) | |||||||
\(570\) | −0.372855 | + | 0.320196i | −0.0156172 | + | 0.0134115i | ||||
\(571\) | 26.2482 | − | 17.5385i | 1.09845 | − | 0.733964i | 0.132115 | − | 0.991234i | \(-0.457823\pi\) |
0.966339 | + | 0.257271i | \(0.0828233\pi\) | |||||||
\(572\) | −16.2683 | − | 43.5803i | −0.680211 | − | 1.82218i | ||||
\(573\) | 5.71020 | − | 7.55566i | 0.238547 | − | 0.315642i | ||||
\(574\) | 12.8942 | + | 2.80310i | 0.538193 | + | 0.116999i | ||||
\(575\) | −13.3967 | −0.558680 | ||||||||
\(576\) | −20.2974 | + | 12.8069i | −0.845724 | + | 0.533621i | ||||
\(577\) | −12.6701 | −0.527463 | −0.263732 | − | 0.964596i | \(-0.584953\pi\) | ||||
−0.263732 | + | 0.964596i | \(0.584953\pi\) | |||||||
\(578\) | −22.5822 | − | 4.90921i | −0.939297 | − | 0.204196i | ||||
\(579\) | 0.348648 | − | 0.461325i | 0.0144893 | − | 0.0191720i | ||||
\(580\) | −3.15968 | + | 1.17949i | −0.131199 | + | 0.0489757i | ||||
\(581\) | −9.71597 | + | 6.49200i | −0.403086 | + | 0.269334i | ||||
\(582\) | −5.50428 | + | 4.72690i | −0.228160 | + | 0.195936i | ||||
\(583\) | −3.07303 | + | 7.41894i | −0.127272 | + | 0.307261i | ||||
\(584\) | −7.45495 | + | 29.2586i | −0.308488 | + | 1.21073i | ||||
\(585\) | −2.92919 | + | 0.831059i | −0.121107 | + | 0.0343601i | ||||
\(586\) | 5.78631 | − | 2.27756i | 0.239030 | − | 0.0940850i | ||||
\(587\) | 3.44157 | − | 17.3020i | 0.142049 | − | 0.714128i | −0.842455 | − | 0.538767i | \(-0.818890\pi\) |
0.984504 | − | 0.175362i | \(-0.0561095\pi\) | |||||||
\(588\) | −16.2882 | − | 4.85879i | −0.671713 | − | 0.200373i | ||||
\(589\) | −1.62607 | + | 2.43359i | −0.0670012 | + | 0.100274i | ||||
\(590\) | 0.742693 | − | 1.07000i | 0.0305762 | − | 0.0440510i | ||||
\(591\) | 1.81698 | − | 31.2254i | 0.0747407 | − | 1.28444i | ||||
\(592\) | 41.0072 | + | 11.2255i | 1.68539 | + | 0.461366i | ||||
\(593\) | 21.8878 | + | 21.8878i | 0.898825 | + | 0.898825i | 0.995332 | − | 0.0965075i | \(-0.0307672\pi\) |
−0.0965075 | + | 0.995332i | \(0.530767\pi\) | |||||||
\(594\) | −27.5785 | − | 27.3442i | −1.13156 | − | 1.12195i | ||||
\(595\) | 0.150481 | − | 0.225211i | 0.00616913 | − | 0.00923276i | ||||
\(596\) | −15.3326 | + | 21.2750i | −0.628046 | + | 0.871459i | ||||
\(597\) | −6.14642 | − | 10.4680i | −0.251556 | − | 0.428428i | ||||
\(598\) | 6.72495 | − | 15.4554i | 0.275004 | − | 0.632018i | ||||
\(599\) | −5.80072 | − | 14.0042i | −0.237011 | − | 0.572196i | 0.759960 | − | 0.649970i | \(-0.225219\pi\) |
−0.996971 | + | 0.0777745i | \(0.975219\pi\) | |||||||
\(600\) | −24.0845 | − | 2.69077i | −0.983246 | − | 0.109850i | ||||
\(601\) | −6.35611 | + | 15.3450i | −0.259271 | + | 0.625936i | −0.998891 | − | 0.0470893i | \(-0.985005\pi\) |
0.739620 | + | 0.673025i | \(0.235005\pi\) | |||||||
\(602\) | −0.235191 | + | 0.227003i | −0.00958566 | + | 0.00925197i | ||||
\(603\) | 30.9229 | − | 15.8169i | 1.25928 | − | 0.644114i | ||||
\(604\) | −22.7947 | − | 0.807832i | −0.927502 | − | 0.0328702i | ||||
\(605\) | −3.82960 | + | 0.761755i | −0.155695 | + | 0.0309698i | ||||
\(606\) | 0.575991 | − | 2.06365i | 0.0233980 | − | 0.0838301i | ||||
\(607\) | 10.1954 | 0.413818 | 0.206909 | − | 0.978360i | \(-0.433660\pi\) | ||||
0.206909 | + | 0.978360i | \(0.433660\pi\) | |||||||
\(608\) | 0.435295 | − | 4.90231i | 0.0176536 | − | 0.198815i | ||||
\(609\) | −12.1825 | − | 13.6879i | −0.493659 | − | 0.554660i | ||||
\(610\) | 1.89028 | + | 2.94045i | 0.0765354 | + | 0.119055i | ||||
\(611\) | 2.03529 | + | 10.2321i | 0.0823391 | + | 0.413946i | ||||
\(612\) | −3.92492 | + | 2.88418i | −0.158656 | + | 0.116586i | ||||
\(613\) | 10.8800 | − | 7.26976i | 0.439437 | − | 0.293623i | −0.316103 | − | 0.948725i | \(-0.602374\pi\) |
0.755540 | + | 0.655102i | \(0.227374\pi\) | |||||||
\(614\) | −11.4837 | + | 11.0839i | −0.463443 | + | 0.447310i | ||||
\(615\) | 0.845880 | + | 2.43317i | 0.0341092 | + | 0.0981149i | ||||
\(616\) | −20.3924 | + | 7.20348i | −0.821632 | + | 0.290237i | ||||
\(617\) | 12.8854 | − | 5.33730i | 0.518746 | − | 0.214872i | −0.107920 | − | 0.994160i | \(-0.534419\pi\) |
0.626666 | + | 0.779288i | \(0.284419\pi\) | |||||||
\(618\) | 10.9295 | + | 33.3307i | 0.439650 | + | 1.34076i | ||||
\(619\) | 4.46258 | − | 22.4349i | 0.179366 | − | 0.901736i | −0.781326 | − | 0.624123i | \(-0.785457\pi\) |
0.960693 | − | 0.277613i | \(-0.0895434\pi\) | |||||||
\(620\) | 1.53160 | − | 0.248623i | 0.0615106 | − | 0.00998492i | ||||
\(621\) | −0.309252 | − | 14.0685i | −0.0124099 | − | 0.564550i | ||||
\(622\) | 3.93448 | + | 21.7902i | 0.157758 | + | 0.873707i | ||||
\(623\) | −18.4461 | + | 18.4461i | −0.739029 | + | 0.739029i | ||||
\(624\) | 15.1944 | − | 26.4349i | 0.608261 | − | 1.05824i | ||||
\(625\) | −17.1156 | − | 17.1156i | −0.684622 | − | 0.684622i | ||||
\(626\) | 8.67614 | − | 12.4997i | 0.346768 | − | 0.499588i | ||||
\(627\) | 7.88813 | − | 1.09734i | 0.315021 | − | 0.0438236i | ||||
\(628\) | −6.87258 | + | 29.1192i | −0.274246 | + | 1.16198i | ||||
\(629\) | 8.46260 | + | 1.68332i | 0.337426 | + | 0.0671182i | ||||
\(630\) | 0.362199 | + | 1.36848i | 0.0144304 | + | 0.0545217i | ||||
\(631\) | −7.15828 | − | 17.2816i | −0.284967 | − | 0.687971i | 0.714971 | − | 0.699154i | \(-0.246440\pi\) |
−0.999937 | + | 0.0111837i | \(0.996440\pi\) | |||||||
\(632\) | −5.87995 | − | 40.7764i | −0.233892 | − | 1.62200i | ||||
\(633\) | 14.3657 | + | 41.3228i | 0.570984 | + | 1.64243i | ||||
\(634\) | −37.8562 | − | 0.670591i | −1.50346 | − | 0.0266326i | ||||
\(635\) | 1.53232 | + | 2.29328i | 0.0608084 | + | 0.0910062i | ||||
\(636\) | −5.02971 | + | 1.55119i | −0.199441 | + | 0.0615088i | ||||
\(637\) | 21.1793 | − | 4.21282i | 0.839153 | − | 0.166918i | ||||
\(638\) | 53.4049 | + | 11.6098i | 2.11432 | + | 0.459637i | ||||
\(639\) | −2.54596 | + | 21.8024i | −0.100716 | + | 0.862490i | ||||
\(640\) | −2.05894 | + | 1.60262i | −0.0813869 | + | 0.0633491i | ||||
\(641\) | 1.01476i | 0.0400806i | 0.999799 | + | 0.0200403i | \(0.00637945\pi\) | ||||
−0.999799 | + | 0.0200403i | \(0.993621\pi\) | |||||||
\(642\) | 11.8400 | + | 21.0085i | 0.467289 | + | 0.829138i | ||||
\(643\) | 3.60657 | + | 18.1314i | 0.142229 | + | 0.715034i | 0.984417 | + | 0.175850i | \(0.0562674\pi\) |
−0.842188 | + | 0.539184i | \(0.818733\pi\) | |||||||
\(644\) | −7.12909 | − | 3.25337i | −0.280925 | − | 0.128201i | ||||
\(645\) | −0.0617573 | − | 0.0160638i | −0.00243169 | − | 0.000632513i | ||||
\(646\) | 0.0176904 | − | 0.998656i | 0.000696019 | − | 0.0392916i | ||||
\(647\) | 9.67105 | + | 4.00588i | 0.380208 | + | 0.157487i | 0.564598 | − | 0.825366i | \(-0.309031\pi\) |
−0.184390 | + | 0.982853i | \(0.559031\pi\) | |||||||
\(648\) | 2.26974 | − | 25.3545i | 0.0891639 | − | 0.996017i | ||||
\(649\) | −19.4996 | + | 8.07701i | −0.765428 | + | 0.317050i | ||||
\(650\) | 28.6489 | − | 11.2765i | 1.12370 | − | 0.442301i | ||||
\(651\) | 4.26852 | + | 7.26977i | 0.167297 | + | 0.284925i | ||||
\(652\) | −9.91562 | − | 2.34024i | −0.388326 | − | 0.0916509i | ||||
\(653\) | −22.5820 | − | 15.0888i | −0.883701 | − | 0.590470i | 0.0287816 | − | 0.999586i | \(-0.490837\pi\) |
−0.912483 | + | 0.409116i | \(0.865837\pi\) | |||||||
\(654\) | 0.671141 | + | 5.54202i | 0.0262437 | + | 0.216710i | ||||
\(655\) | 2.17376 | − | 2.17376i | 0.0849359 | − | 0.0849359i | ||||
\(656\) | −23.0739 | − | 11.5341i | −0.900883 | − | 0.450330i | ||||
\(657\) | −19.8657 | − | 25.1187i | −0.775036 | − | 0.979976i | ||||
\(658\) | 4.77317 | − | 0.861853i | 0.186078 | − | 0.0335985i | ||||
\(659\) | 8.78999 | + | 5.87328i | 0.342409 | + | 0.228791i | 0.714870 | − | 0.699257i | \(-0.246486\pi\) |
−0.372461 | + | 0.928048i | \(0.621486\pi\) | |||||||
\(660\) | −3.27608 | − | 2.66334i | −0.127521 | − | 0.103670i | ||||
\(661\) | −25.4692 | − | 5.06615i | −0.990638 | − | 0.197050i | −0.326936 | − | 0.945047i | \(-0.606016\pi\) |
−0.663703 | + | 0.747996i | \(0.731016\pi\) | |||||||
\(662\) | −3.08087 | + | 7.08051i | −0.119742 | + | 0.275192i | ||||
\(663\) | 2.69611 | − | 5.56966i | 0.104708 | − | 0.216308i | ||||
\(664\) | 21.5396 | − | 7.60875i | 0.835900 | − | 0.295277i | ||||
\(665\) | −0.268196 | − | 0.111090i | −0.0104002 | − | 0.00430790i | ||||
\(666\) | −35.8601 | + | 27.3425i | −1.38955 | + | 1.05950i | ||||
\(667\) | 11.0017 | + | 16.4652i | 0.425987 | + | 0.637534i | ||||
\(668\) | −7.58447 | + | 7.06529i | −0.293452 | + | 0.273364i | ||||
\(669\) | 7.05243 | − | 9.33167i | 0.272663 | − | 0.360783i | ||||
\(670\) | 3.17630 | − | 2.04190i | 0.122711 | − | 0.0788855i | ||||
\(671\) | − | 56.6450i | − | 2.18675i | ||||||
\(672\) | −12.1632 | − | 7.28081i | −0.469205 | − | 0.280863i | ||||
\(673\) | 37.6316i | 1.45059i | 0.688437 | + | 0.725296i | \(0.258297\pi\) | ||||
−0.688437 | + | 0.725296i | \(0.741703\pi\) | |||||||
\(674\) | 0.237764 | + | 0.369856i | 0.00915833 | + | 0.0142463i | ||||
\(675\) | 17.7719 | − | 18.5708i | 0.684042 | − | 0.714791i | ||||
\(676\) | −0.451087 | + | 12.7284i | −0.0173495 | + | 0.489553i | ||||
\(677\) | 17.5351 | + | 26.2432i | 0.673929 | + | 1.00861i | 0.998040 | + | 0.0625870i | \(0.0199351\pi\) |
−0.324110 | + | 0.946019i | \(0.605065\pi\) | |||||||
\(678\) | 19.2377 | + | 1.46171i | 0.738819 | + | 0.0561368i | ||||
\(679\) | −3.95925 | − | 1.63997i | −0.151942 | − | 0.0629364i | ||||
\(680\) | −0.393780 | + | 0.354007i | −0.0151008 | + | 0.0135756i | ||||
\(681\) | 22.9529 | + | 11.1108i | 0.879557 | + | 0.425768i | ||||
\(682\) | −23.0557 | − | 10.0320i | −0.882848 | − | 0.384145i | ||||
\(683\) | 35.4822 | + | 7.05785i | 1.35769 | + | 0.270061i | 0.819653 | − | 0.572861i | \(-0.194167\pi\) |
0.538036 | + | 0.842922i | \(0.319167\pi\) | |||||||
\(684\) | 3.85237 | + | 3.52266i | 0.147299 | + | 0.134692i | ||||
\(685\) | 1.72729 | + | 1.15414i | 0.0659963 | + | 0.0440973i | ||||
\(686\) | −4.32892 | − | 23.9747i | −0.165279 | − | 0.915358i | ||||
\(687\) | 2.24266 | − | 38.5408i | 0.0855629 | − | 1.47042i | ||||
\(688\) | 0.555119 | − | 0.316514i | 0.0211637 | − | 0.0120670i | ||||
\(689\) | 4.72837 | − | 4.72837i | 0.180137 | − | 0.180137i | ||||
\(690\) | −0.183918 | − | 1.51873i | −0.00700164 | − | 0.0578169i | ||||
\(691\) | 24.3767 | + | 16.2880i | 0.927334 | + | 0.619625i | 0.924834 | − | 0.380372i | \(-0.124204\pi\) |
0.00250053 | + | 0.999997i | \(0.499204\pi\) | |||||||
\(692\) | 37.3513 | − | 23.0869i | 1.41988 | − | 0.877633i | ||||
\(693\) | 7.05450 | − | 21.8275i | 0.267978 | − | 0.829158i | ||||
\(694\) | −5.73338 | − | 14.5661i | −0.217636 | − | 0.552922i | ||||
\(695\) | 3.12630 | − | 1.29495i | 0.118587 | − | 0.0491204i | ||||
\(696\) | 16.4717 | + | 31.8108i | 0.624358 | + | 1.20578i | ||||
\(697\) | −4.83668 | − | 2.00342i | −0.183202 | − | 0.0758848i | ||||
\(698\) | 9.02219 | + | 0.159821i | 0.341495 | + | 0.00604931i | ||||
\(699\) | −6.84360 | + | 26.3102i | −0.258849 | + | 0.995143i | ||||
\(700\) | −5.00600 | − | 13.4103i | −0.189209 | − | 0.506863i | ||||
\(701\) | 0.333536 | + | 1.67680i | 0.0125975 | + | 0.0633318i | 0.986573 | − | 0.163323i | \(-0.0522212\pi\) |
−0.973975 | + | 0.226655i | \(0.927221\pi\) | |||||||
\(702\) | 12.5034 | + | 29.8253i | 0.471909 | + | 1.12568i | ||||
\(703\) | − | 9.24747i | − | 0.348775i | ||||||
\(704\) | 42.1085 | − | 3.80324i | 1.58703 | − | 0.143340i | ||||
\(705\) | 0.629528 | + | 0.707318i | 0.0237094 | + | 0.0266391i | ||||
\(706\) | −0.622215 | + | 2.86217i | −0.0234174 | + | 0.107719i | ||||
\(707\) | 1.24119 | − | 0.246887i | 0.0466796 | − | 0.00928515i | ||||
\(708\) | −12.2308 | − | 6.46493i | −0.459662 | − | 0.242967i | ||||
\(709\) | −10.4204 | − | 15.5952i | −0.391345 | − | 0.585689i | 0.582520 | − | 0.812816i | \(-0.302067\pi\) |
−0.973865 | + | 0.227127i | \(0.927067\pi\) | |||||||
\(710\) | −0.0422655 | + | 2.38597i | −0.00158620 | + | 0.0895438i | ||||
\(711\) | 38.1590 | + | 21.2918i | 1.43108 | + | 0.798506i | ||||
\(712\) | 43.8483 | − | 26.0409i | 1.64328 | − | 0.975923i | ||||
\(713\) | −3.48643 | − | 8.41699i | −0.130568 | − | 0.315219i | ||||
\(714\) | −2.56686 | − | 1.29915i | −0.0960625 | − | 0.0486196i | ||||
\(715\) | 5.26085 | + | 1.04645i | 0.196745 | + | 0.0391350i | ||||
\(716\) | −40.3670 | + | 24.9509i | −1.50858 | + | 0.932460i | ||||
\(717\) | −0.792753 | − | 5.69863i | −0.0296059 | − | 0.212819i | ||||
\(718\) | 5.60406 | + | 3.88982i | 0.209142 | + | 0.145167i | ||||
\(719\) | 6.74931 | + | 6.74931i | 0.251707 | + | 0.251707i | 0.821670 | − | 0.569963i | \(-0.193043\pi\) |
−0.569963 | + | 0.821670i | \(0.693043\pi\) | |||||||
\(720\) | −0.0256058 | − | 2.76730i | −0.000954272 | − | 0.103131i | ||||
\(721\) | −14.6502 | + | 14.6502i | −0.545602 | + | 0.545602i | ||||
\(722\) | 25.3890 | − | 4.58429i | 0.944882 | − | 0.170610i | ||||
\(723\) | 1.79113 | − | 0.249169i | 0.0666127 | − | 0.00926668i | ||||
\(724\) | 9.44892 | − | 13.1110i | 0.351166 | − | 0.487268i | ||||
\(725\) | −7.05684 | + | 35.4771i | −0.262084 | + | 1.31759i | ||||
\(726\) | 12.9224 | + | 39.4081i | 0.479594 | + | 1.46257i | ||||
\(727\) | −24.1773 | + | 10.0146i | −0.896688 | + | 0.371420i | −0.782946 | − | 0.622090i | \(-0.786284\pi\) |
−0.113742 | + | 0.993510i | \(0.536284\pi\) | |||||||
\(728\) | 17.9841 | + | 0.956520i | 0.666534 | + | 0.0354510i | ||||
\(729\) | 19.9124 | + | 18.2345i | 0.737496 | + | 0.675352i | ||||
\(730\) | −2.41786 | − | 2.50506i | −0.0894889 | − | 0.0927165i | ||||
\(731\) | 0.107829 | − | 0.0720489i | 0.00398819 | − | 0.00266482i | ||||
\(732\) | 28.5914 | − | 23.6866i | 1.05677 | − | 0.875482i | ||||
\(733\) | −5.50982 | − | 27.6997i | −0.203510 | − | 1.02311i | −0.938564 | − | 0.345105i | \(-0.887843\pi\) |
0.735054 | − | 0.678008i | \(-0.237157\pi\) | |||||||
\(734\) | −14.3796 | + | 9.24400i | −0.530761 | + | 0.341202i | ||||
\(735\) | 1.46407 | − | 1.30305i | 0.0540029 | − | 0.0480637i | ||||
\(736\) | 11.9351 | + | 9.60434i | 0.439932 | + | 0.354021i | ||||
\(737\) | −61.1884 | −2.25390 | ||||||||
\(738\) | 24.5761 | − | 12.0263i | 0.904660 | − | 0.442693i | ||||
\(739\) | −12.5987 | + | 2.50603i | −0.463450 | + | 0.0921859i | −0.421292 | − | 0.906925i | \(-0.638423\pi\) |
−0.0421580 | + | 0.999111i | \(0.513423\pi\) | |||||||
\(740\) | −3.58717 | + | 3.34162i | −0.131867 | + | 0.122840i | ||||
\(741\) | −6.41830 | − | 1.66948i | −0.235782 | − | 0.0613298i | ||||
\(742\) | −2.15906 | − | 2.23693i | −0.0792615 | − | 0.0821202i | ||||
\(743\) | 4.82353 | − | 11.6450i | 0.176958 | − | 0.427214i | −0.810368 | − | 0.585922i | \(-0.800733\pi\) |
0.987326 | + | 0.158707i | \(0.0507326\pi\) | |||||||
\(744\) | −4.57731 | − | 15.8323i | −0.167812 | − | 0.580440i | ||||
\(745\) | −1.15720 | − | 2.79372i | −0.0423964 | − | 0.102354i | ||||
\(746\) | 24.1889 | + | 10.5251i | 0.885618 | + | 0.385350i | ||||
\(747\) | −7.45139 | + | 23.0555i | −0.272632 | + | 0.843557i | ||||
\(748\) | 8.46963 | − | 1.37486i | 0.309680 | − | 0.0502700i | ||||
\(749\) | −7.91346 | + | 11.8433i | −0.289151 | + | 0.432746i | ||||
\(750\) | 3.46670 | − | 4.42202i | 0.126586 | − | 0.161469i | ||||
\(751\) | 23.1916 | + | 23.1916i | 0.846275 | + | 0.846275i | 0.989666 | − | 0.143391i | \(-0.0458006\pi\) |
−0.143391 | + | 0.989666i | \(0.545801\pi\) | |||||||
\(752\) | −9.45835 | − | 0.671241i | −0.344911 | − | 0.0244777i | ||||
\(753\) | −51.2761 | − | 2.98372i | −1.86861 | − | 0.108733i | ||||
\(754\) | −37.3865 | − | 25.9503i | −1.36154 | − | 0.945054i | ||||
\(755\) | 1.46120 | − | 2.18683i | 0.0531783 | − | 0.0795870i | ||||
\(756\) | 13.9673 | − | 5.56662i | 0.507986 | − | 0.202456i | ||||
\(757\) | −1.99398 | + | 10.0244i | −0.0724724 | + | 0.364343i | −0.999955 | − | 0.00952390i | \(-0.996968\pi\) |
0.927482 | + | 0.373867i | \(0.121968\pi\) | |||||||
\(758\) | −8.70437 | − | 22.1141i | −0.316157 | − | 0.803221i | ||||
\(759\) | −10.8012 | + | 22.3132i | −0.392057 | + | 0.809918i | ||||
\(760\) | 0.454451 | + | 0.339905i | 0.0164847 | + | 0.0123297i | ||||
\(761\) | 12.9660 | − | 31.3026i | 0.470016 | − | 1.13472i | −0.494140 | − | 0.869382i | \(-0.664517\pi\) |
0.964156 | − | 0.265336i | \(-0.0854830\pi\) | |||||||
\(762\) | 22.2246 | − | 19.0858i | 0.805112 | − | 0.691404i | ||||
\(763\) | −2.74165 | + | 1.83192i | −0.0992546 | + | 0.0663198i | ||||
\(764\) | −9.94884 | − | 4.54017i | −0.359936 | − | 0.164258i | ||||
\(765\) | −0.0449399 | − | 0.559832i | −0.00162480 | − | 0.0202408i | ||||
\(766\) | −6.05485 | + | 27.8522i | −0.218771 | + | 1.00634i | ||||
\(767\) | 17.5756 | 0.634620 | ||||||||
\(768\) | 19.5277 | + | 19.6639i | 0.704647 | + | 0.709558i | ||||
\(769\) | 23.0918 | 0.832712 | 0.416356 | − | 0.909202i | \(-0.363307\pi\) | ||||
0.416356 | + | 0.909202i | \(0.363307\pi\) | |||||||
\(770\) | 0.529764 | − | 2.43690i | 0.0190914 | − | 0.0878198i | ||||
\(771\) | −27.8299 | − | 21.0325i | −1.00227 | − | 0.757468i | ||||
\(772\) | −0.607445 | − | 0.277209i | −0.0218624 | − | 0.00997697i | ||||
\(773\) | 4.55344 | − | 3.04251i | 0.163776 | − | 0.109432i | −0.470981 | − | 0.882143i | \(-0.656100\pi\) |
0.634757 | + | 0.772712i | \(0.281100\pi\) | |||||||
\(774\) | −0.0905235 | + | 0.671704i | −0.00325380 | + | 0.0241439i | ||||
\(775\) | 6.36847 | − | 15.3749i | 0.228762 | − | 0.552281i | ||||
\(776\) | 6.70885 | + | 5.01786i | 0.240834 | + | 0.180131i | ||||
\(777\) | −23.9745 | − | 11.6054i | −0.860081 | − | 0.416340i | ||||
\(778\) | 17.9205 | + | 45.5285i | 0.642482 | + | 1.63228i | ||||
\(779\) | −1.09461 | + | 5.50299i | −0.0392186 | + | 0.197165i | ||||
\(780\) | 1.67168 | + | 3.09299i | 0.0598557 | + | 0.110747i | ||||
\(781\) | 21.4836 | − | 32.1525i | 0.768745 | − | 1.15051i | ||||
\(782\) | 2.55406 | + | 1.77280i | 0.0913331 | + | 0.0633951i | ||||
\(783\) | −37.4192 | − | 6.59177i | −1.33725 | − | 0.235571i | ||||
\(784\) | −1.38939 | + | 19.5777i | −0.0496212 | + | 0.699204i | ||||
\(785\) | −2.43949 | − | 2.43949i | −0.0870690 | − | 0.0870690i | ||||
\(786\) | −25.6967 | − | 20.1452i | −0.916571 | − | 0.718556i | ||||
\(787\) | −7.03228 | + | 10.5245i | −0.250674 | + | 0.375160i | −0.935371 | − | 0.353668i | \(-0.884934\pi\) |
0.684697 | + | 0.728827i | \(0.259934\pi\) | |||||||
\(788\) | −35.6503 | + | 5.78707i | −1.26999 | + | 0.206156i | ||||
\(789\) | −14.7171 | + | 8.64130i | −0.523943 | + | 0.307639i | ||||
\(790\) | 4.35603 | + | 1.89540i | 0.154980 | + | 0.0674352i | ||||
\(791\) | 4.36093 | + | 10.5282i | 0.155057 | + | 0.374340i | ||||
\(792\) | −23.9000 | + | 37.9451i | −0.849248 | + | 1.34832i | ||||
\(793\) | −18.0510 | + | 43.5789i | −0.641009 | + | 1.54753i | ||||
\(794\) | 23.8559 | + | 24.7163i | 0.846613 | + | 0.877148i | ||||
\(795\) | 0.152785 | − | 0.587381i | 0.00541873 | − | 0.0208323i | ||||
\(796\) | −10.2564 | + | 9.55430i | −0.363528 | + | 0.338643i | ||||
\(797\) | −3.90187 | + | 0.776130i | −0.138211 | + | 0.0274919i | −0.263711 | − | 0.964602i | \(-0.584947\pi\) |
0.125500 | + | 0.992094i | \(0.459947\pi\) | |||||||
\(798\) | −0.828912 | + | 2.96981i | −0.0293432 | + | 0.105130i | ||||
\(799\) | −1.92435 | −0.0680786 | ||||||||
\(800\) | 3.01044 | + | 27.8210i | 0.106435 | + | 0.983621i | ||||
\(801\) | −6.27385 | + | 53.7265i | −0.221676 | + | 1.89833i | ||||
\(802\) | −8.73081 | + | 5.61265i | −0.308295 | + | 0.198189i | ||||
\(803\) | 11.0065 | + | 55.3332i | 0.388409 | + | 1.95267i | ||||
\(804\) | −25.5865 | − | 30.8847i | −0.902365 | − | 1.08922i | ||||
\(805\) | 0.751317 | − | 0.502014i | 0.0264805 | − | 0.0176937i | ||||
\(806\) | 14.5407 | + | 15.0651i | 0.512173 | + | 0.530646i | ||||
\(807\) | 1.40749 | − | 0.489306i | 0.0495459 | − | 0.0172244i | ||||
\(808\) | −2.47049 | − | 0.131398i | −0.0869114 | − | 0.00462256i | ||||
\(809\) | −35.6034 | + | 14.7474i | −1.25175 | + | 0.518491i | −0.907367 | − | 0.420338i | \(-0.861911\pi\) |
−0.344382 | + | 0.938830i | \(0.611911\pi\) | |||||||
\(810\) | 2.34928 | + | 1.75978i | 0.0825452 | + | 0.0618322i | ||||
\(811\) | 1.74820 | − | 8.78879i | 0.0613876 | − | 0.308616i | −0.937877 | − | 0.346969i | \(-0.887211\pi\) |
0.999264 | + | 0.0383526i | \(0.0122110\pi\) | |||||||
\(812\) | −12.3709 | + | 17.1655i | −0.434134 | + | 0.602391i | ||||
\(813\) | −6.74289 | − | 48.4706i | −0.236483 | − | 1.69994i | ||||
\(814\) | 78.1780 | − | 14.1160i | 2.74014 | − | 0.494765i | ||||
\(815\) | 0.830690 | − | 0.830690i | 0.0290978 | − | 0.0290978i | ||||
\(816\) | 4.23561 | + | 3.70012i | 0.148276 | + | 0.129530i | ||||
\(817\) | −0.0982803 | − | 0.0982803i | −0.00343839 | − | 0.00343839i | ||||
\(818\) | 3.92154 | + | 2.72198i | 0.137114 | + | 0.0951716i | ||||
\(819\) | −12.3830 | + | 14.5446i | −0.432698 | + | 0.508230i | ||||
\(820\) | 2.53020 | − | 1.56392i | 0.0883585 | − | 0.0546146i | ||||
\(821\) | 15.7729 | + | 3.13743i | 0.550479 | + | 0.109497i | 0.462490 | − | 0.886624i | \(-0.346956\pi\) |
0.0879887 | + | 0.996121i | \(0.471956\pi\) | |||||||
\(822\) | 9.96403 | − | 19.6869i | 0.347536 | − | 0.686660i | ||||
\(823\) | 14.1544 | + | 34.1718i | 0.493392 | + | 1.19115i | 0.952983 | + | 0.303023i | \(0.0979961\pi\) |
−0.459591 | + | 0.888131i | \(0.652004\pi\) | |||||||
\(824\) | 34.8249 | − | 20.6820i | 1.21318 | − | 0.720493i | ||||
\(825\) | −42.7716 | + | 14.8693i | −1.48912 | + | 0.517684i | ||||
\(826\) | 0.144726 | − | 8.17007i | 0.00503567 | − | 0.284273i | ||||
\(827\) | −12.9577 | − | 19.3925i | −0.450582 | − | 0.674344i | 0.534746 | − | 0.845013i | \(-0.320407\pi\) |
−0.985328 | + | 0.170669i | \(0.945407\pi\) | |||||||
\(828\) | −15.7792 | + | 3.87860i | −0.548364 | + | 0.134791i | ||||
\(829\) | −4.30112 | + | 0.855545i | −0.149384 | + | 0.0297143i | −0.269216 | − | 0.963080i | \(-0.586764\pi\) |
0.119832 | + | 0.992794i | \(0.461764\pi\) | |||||||
\(830\) | −0.559569 | + | 2.57400i | −0.0194229 | + | 0.0893449i | ||||
\(831\) | 18.5115 | − | 16.4757i | 0.642158 | − | 0.571534i | ||||
\(832\) | −33.6075 | − | 10.4927i | −1.16513 | − | 0.363769i | ||||
\(833\) | 3.98319i | 0.138009i | ||||||||
\(834\) | −17.6465 | − | 31.3113i | −0.611050 | − | 1.08422i | ||||
\(835\) | −0.233178 | − | 1.17226i | −0.00806945 | − | 0.0405678i | ||||
\(836\) | −3.21609 | − | 8.61543i | −0.111231 | − | 0.297971i | ||||
\(837\) | 16.2929 | + | 6.33294i | 0.563166 | + | 0.218898i | ||||
\(838\) | 3.99361 | + | 0.0707436i | 0.137957 | + | 0.00244380i | ||||
\(839\) | −39.3376 | − | 16.2942i | −1.35808 | − | 0.562537i | −0.419553 | − | 0.907731i | \(-0.637813\pi\) |
−0.938532 | + | 0.345194i | \(0.887813\pi\) | |||||||
\(840\) | 1.45155 | − | 0.751614i | 0.0500831 | − | 0.0259332i | ||||
\(841\) | 22.6058 | − | 9.36365i | 0.779512 | − | 0.322884i | ||||
\(842\) | 18.9511 | + | 48.1468i | 0.653099 | + | 1.65925i | ||||
\(843\) | 19.6059 | − | 11.5118i | 0.675263 | − | 0.396488i | ||||
\(844\) | 42.9707 | − | 26.5603i | 1.47911 | − | 0.914243i | ||||
\(845\) | −1.22111 | − | 0.815920i | −0.0420075 | − | 0.0280685i | ||||
\(846\) | 6.65437 | − | 7.54117i | 0.228782 | − | 0.259271i | ||||
\(847\) | −17.3214 | + | 17.3214i | −0.595171 | + | 0.595171i | ||||
\(848\) | 3.01041 | + | 5.27981i | 0.103378 | + | 0.181309i | ||||
\(849\) | −30.4730 | − | 1.77320i | −1.04583 | − | 0.0608562i | ||||
\(850\) | 1.00911 | + | 5.58872i | 0.0346122 | + | 0.191691i | ||||
\(851\) | 23.9337 | + | 15.9920i | 0.820437 | + | 0.548198i | ||||
\(852\) | 25.2125 | − | 2.60104i | 0.863767 | − | 0.0891103i | ||||
\(853\) | −10.5964 | − | 2.10776i | −0.362815 | − | 0.0721685i | 0.0103165 | − | 0.999947i | \(-0.496716\pi\) |
−0.373132 | + | 0.927778i | \(0.621716\pi\) | |||||||
\(854\) | 20.1091 | + | 8.74988i | 0.688120 | + | 0.299415i | ||||
\(855\) | −0.579074 | + | 0.164293i | −0.0198039 | + | 0.00561870i | ||||
\(856\) | 20.7080 | − | 18.6164i | 0.707783 | − | 0.636296i | ||||
\(857\) | 22.7228 | + | 9.41209i | 0.776196 | + | 0.321511i | 0.735379 | − | 0.677656i | \(-0.237004\pi\) |
0.0408168 | + | 0.999167i | \(0.487004\pi\) | |||||||
\(858\) | 4.31642 | − | 56.8086i | 0.147360 | − | 1.93941i | ||||
\(859\) | 15.0654 | + | 22.5470i | 0.514025 | + | 0.769292i | 0.994162 | − | 0.107901i | \(-0.0344130\pi\) |
−0.480137 | + | 0.877194i | \(0.659413\pi\) | |||||||
\(860\) | −0.00260969 | + | 0.0736379i | −8.89896e−5 | + | 0.00251103i | ||||
\(861\) | 12.8931 | + | 9.74396i | 0.439394 | + | 0.332073i | ||||
\(862\) | 7.75099 | + | 12.0571i | 0.264000 | + | 0.410667i | ||||
\(863\) | − | 15.4623i | − | 0.526343i | −0.964749 | − | 0.263172i | \(-0.915231\pi\) | ||
0.964749 | − | 0.263172i | \(-0.0847685\pi\) | |||||||
\(864\) | −29.1467 | + | 3.80364i | −0.991592 | + | 0.129402i | ||||
\(865\) | 5.06326i | 0.172156i | ||||||||
\(866\) | 22.4259 | − | 14.4166i | 0.762065 | − | 0.489897i | ||||
\(867\) | −22.5803 | − | 17.0651i | −0.766866 | − | 0.579561i | ||||
\(868\) | 7.12278 | − | 6.63520i | 0.241763 | − | 0.225213i | ||||
\(869\) | −42.7678 | − | 64.0065i | −1.45080 | − | 2.17127i | ||||
\(870\) | −4.11877 | − | 0.312951i | −0.139639 | − | 0.0106100i | ||||
\(871\) | 47.0743 | + | 19.4988i | 1.59505 | + | 0.660693i | ||||
\(872\) | 6.07806 | − | 2.14704i | 0.205829 | − | 0.0727080i | ||||
\(873\) | −8.54860 | + | 2.42538i | −0.289326 | + | 0.0820866i | ||||
\(874\) | 1.32946 | − | 3.05539i | 0.0449697 | − | 0.103350i | ||||
\(875\) | 3.25509 | + | 0.647478i | 0.110042 | + | 0.0218888i | ||||
\(876\) | −23.3269 | + | 28.6936i | −0.788143 | + | 0.969466i | ||||
\(877\) | −6.18843 | − | 4.13497i | −0.208968 | − | 0.139628i | 0.446682 | − | 0.894693i | \(-0.352605\pi\) |
−0.655650 | + | 0.755065i | \(0.727605\pi\) | |||||||
\(878\) | −23.9708 | + | 4.32822i | −0.808977 | + | 0.146070i | ||||
\(879\) | 7.60311 | + | 0.442419i | 0.256446 | + | 0.0149224i | ||||
\(880\) | −2.17985 | + | 4.36078i | −0.0734827 | + | 0.147002i | ||||
\(881\) | −8.81151 | + | 8.81151i | −0.296867 | + | 0.296867i | −0.839786 | − | 0.542918i | \(-0.817319\pi\) |
0.542918 | + | 0.839786i | \(0.317319\pi\) | |||||||
\(882\) | −15.6094 | − | 13.7738i | −0.525594 | − | 0.463787i | ||||
\(883\) | −31.0565 | − | 20.7513i | −1.04514 | − | 0.698337i | −0.0904336 | − | 0.995902i | \(-0.528825\pi\) |
−0.954701 | + | 0.297566i | \(0.903825\pi\) | |||||||
\(884\) | −6.95411 | − | 1.64128i | −0.233892 | − | 0.0552021i | ||||
\(885\) | 1.37562 | − | 0.807710i | 0.0462410 | − | 0.0271509i | ||||
\(886\) | 33.6220 | − | 13.2340i | 1.12955 | − | 0.444605i | ||||
\(887\) | 50.3950 | − | 20.8743i | 1.69210 | − | 0.700891i | 0.692314 | − | 0.721596i | \(-0.256591\pi\) |
0.999786 | + | 0.0207058i | \(0.00659133\pi\) | |||||||
\(888\) | 39.8159 | + | 33.5575i | 1.33613 | + | 1.12612i | ||||
\(889\) | 15.9862 | + | 6.62171i | 0.536161 | + | 0.222085i | ||||
\(890\) | −0.104152 | + | 5.87961i | −0.00349120 | + | 0.197085i | ||||
\(891\) | −16.6024 | − | 44.5734i | −0.556201 | − | 1.49326i | ||||
\(892\) | −12.2874 | − | 5.60737i | −0.411412 | − | 0.187749i | ||||
\(893\) | 0.402359 | + | 2.02279i | 0.0134644 | + | 0.0676902i | ||||
\(894\) | −27.9804 | + | 15.7693i | −0.935803 | + | 0.527404i | ||||
\(895\) | − | 5.47207i | − | 0.182911i | ||||||
\(896\) | −5.15430 | + | 15.5361i | −0.172193 | + | 0.519026i | ||||
\(897\) | 15.4202 | − | 13.7243i | 0.514867 | − | 0.458242i | ||||
\(898\) | 10.3381 | + | 2.24742i | 0.344986 | + | 0.0749974i | ||||
\(899\) | −24.1264 | + | 4.79904i | −0.804660 | + | 0.160057i | ||||
\(900\) | −25.3906 | − | 15.3711i | −0.846354 | − | 0.512372i | ||||
\(901\) | 0.685266 | + | 1.02557i | 0.0228295 | + | 0.0341668i | ||||
\(902\) | −48.1931 | − | 0.853702i | −1.60466 | − | 0.0284252i | ||||
\(903\) | −0.378136 | + | 0.131457i | −0.0125836 | + | 0.00437462i | ||||
\(904\) | −3.17957 | − | 22.0497i | −0.105751 | − | 0.733363i | ||||
\(905\) | 0.713139 | + | 1.72167i | 0.0237056 | + | 0.0572303i | ||||
\(906\) | −24.9246 | − | 12.6150i | −0.828066 | − | 0.419104i | ||||
\(907\) | −4.17362 | − | 0.830185i | −0.138583 | − | 0.0275658i | 0.125311 | − | 0.992117i | \(-0.460007\pi\) |
−0.263894 | + | 0.964552i | \(0.585007\pi\) | |||||||
\(908\) | 6.76381 | − | 28.6583i | 0.224465 | − | 0.951060i | ||||
\(909\) | 1.70106 | − | 1.99800i | 0.0564208 | − | 0.0662696i | ||||
\(910\) | −1.18413 | + | 1.70597i | −0.0392535 | + | 0.0565524i | ||||
\(911\) | −36.1859 | − | 36.1859i | −1.19889 | − | 1.19889i | −0.974499 | − | 0.224393i | \(-0.927960\pi\) |
−0.224393 | − | 0.974499i | \(-0.572040\pi\) | |||||||
\(912\) | 3.00379 | − | 5.22594i | 0.0994654 | − | 0.173048i | ||||
\(913\) | 30.1826 | − | 30.1826i | 0.998899 | − | 0.998899i | ||||
\(914\) | 6.34898 | + | 35.1623i | 0.210005 | + | 1.16307i | ||||
\(915\) | 0.589897 | + | 4.24042i | 0.0195014 | + | 0.140184i | ||||
\(916\) | −44.0024 | + | 7.14285i | −1.45388 | + | 0.236006i | ||||
\(917\) | 3.76254 | − | 18.9156i | 0.124250 | − | 0.624647i | ||||
\(918\) | −5.84569 | + | 1.18873i | −0.192937 | + | 0.0392339i | ||||
\(919\) | −38.6253 | + | 15.9991i | −1.27413 | + | 0.527762i | −0.914218 | − | 0.405223i | \(-0.867194\pi\) |
−0.359913 | + | 0.932986i | \(0.617194\pi\) | |||||||
\(920\) | −1.66562 | + | 0.588371i | −0.0549139 | + | 0.0193980i | ||||
\(921\) | −18.4633 | + | 6.41866i | −0.608385 | + | 0.211502i | ||||
\(922\) | 33.3576 | − | 32.1963i | 1.09857 | − | 1.06033i | ||||
\(923\) | −26.7741 | + | 17.8899i | −0.881281 | + | 0.588853i | ||||
\(924\) | −26.3721 | − | 2.47429i | −0.867577 | − | 0.0813980i | ||||
\(925\) | 10.2578 | + | 51.5693i | 0.337274 | + | 1.69559i | ||||
\(926\) | −9.59355 | − | 14.9233i | −0.315264 | − | 0.490411i | ||||
\(927\) | −4.98279 | + | 42.6704i | −0.163656 | + | 1.40148i | ||||
\(928\) | 31.7211 | − | 26.5473i | 1.04130 | − | 0.871457i | ||||
\(929\) | 2.93791 | 0.0963897 | 0.0481949 | − | 0.998838i | \(-0.484653\pi\) | ||||
0.0481949 | + | 0.998838i | \(0.484653\pi\) | |||||||
\(930\) | 1.83041 | + | 0.510891i | 0.0600216 | + | 0.0167528i | ||||
\(931\) | 4.18695 | − | 0.832836i | 0.137222 | − | 0.0272951i | ||||
\(932\) | 31.3716 | + | 1.11179i | 1.02761 | + | 0.0364180i | ||||
\(933\) | −6.82681 | + | 26.2456i | −0.223500 | + | 0.859243i | ||||
\(934\) | −16.4647 | + | 15.8915i | −0.538742 | + | 0.519987i | ||||
\(935\) | −0.378630 | + | 0.914094i | −0.0123825 | + | 0.0298941i | ||||
\(936\) | 30.4790 | − | 21.5763i | 0.996238 | − | 0.705245i | ||||
\(937\) | 4.20521 | + | 10.1523i | 0.137378 | + | 0.331660i | 0.977564 | − | 0.210638i | \(-0.0675542\pi\) |
−0.840186 | + | 0.542298i | \(0.817554\pi\) | |||||||
\(938\) | 9.45170 | − | 21.7220i | 0.308609 | − | 0.709249i | ||||
\(939\) | 16.0700 | − | 9.43566i | 0.524424 | − | 0.307921i | ||||
\(940\) | 0.639264 | − | 0.887025i | 0.0208505 | − | 0.0289316i | ||||
\(941\) | −21.0043 | + | 31.4352i | −0.684721 | + | 1.02476i | 0.312476 | + | 0.949926i | \(0.398842\pi\) |
−0.997196 | + | 0.0748312i | \(0.976158\pi\) | |||||||
\(942\) | −22.6078 | + | 28.8379i | −0.736602 | + | 0.939589i | ||||
\(943\) | −12.3495 | − | 12.3495i | −0.402156 | − | 0.402156i | ||||
\(944\) | −4.21775 | + | 15.4076i | −0.137276 | + | 0.501475i | ||||
\(945\) | −0.300787 | + | 1.70746i | −0.00978460 | + | 0.0555438i | ||||
\(946\) | 0.680839 | − | 0.980882i | 0.0221360 | − | 0.0318912i | ||||
\(947\) | −16.1294 | + | 24.1394i | −0.524137 | + | 0.784426i | −0.995220 | − | 0.0976631i | \(-0.968863\pi\) |
0.471083 | + | 0.882089i | \(0.343863\pi\) | |||||||
\(948\) | 14.4234 | − | 48.3519i | 0.468452 | − | 1.57040i | ||||
\(949\) | 9.16532 | − | 46.0772i | 0.297519 | − | 1.49573i | ||||
\(950\) | 5.66362 | − | 2.22926i | 0.183752 | − | 0.0723269i | ||||
\(951\) | −41.7384 | − | 20.2043i | −1.35346 | − | 0.655170i | ||||
\(952\) | −0.820215 | + | 3.21912i | −0.0265833 | + | 0.104332i | ||||
\(953\) | −2.83706 | + | 6.84926i | −0.0919012 | + | 0.221869i | −0.963146 | − | 0.268980i | \(-0.913313\pi\) |
0.871245 | + | 0.490849i | \(0.163313\pi\) | |||||||
\(954\) | −6.38866 | − | 0.860980i | −0.206841 | − | 0.0278753i | ||||
\(955\) | 1.04848 | − | 0.700575i | 0.0339281 | − | 0.0226701i | ||||
\(956\) | −6.22406 | + | 2.32341i | −0.201300 | + | 0.0751443i | ||||
\(957\) | 53.4002 | + | 40.3573i | 1.72618 | + | 1.30457i | ||||
\(958\) | −22.8913 | − | 4.97640i | −0.739585 | − | 0.160780i | ||||
\(959\) | 13.0328 | 0.420851 | ||||||||
\(960\) | −3.11262 | + | 0.723225i | −0.100459 | + | 0.0233420i | ||||
\(961\) | −19.6828 | −0.634928 | ||||||||
\(962\) | −64.6434 | − | 14.0530i | −2.08419 | − | 0.453087i | ||||
\(963\) | 2.36328 | + | 29.4403i | 0.0761557 | + | 0.948699i | ||||
\(964\) | −0.730265 | − | 1.95627i | −0.0235203 | − | 0.0630073i | ||||
\(965\) | 0.0640172 | − | 0.0427749i | 0.00206079 | − | 0.00137697i | ||||
\(966\) | −6.25280 | − | 7.28114i | −0.201181 | − | 0.234267i | ||||
\(967\) | 1.40336 | − | 3.38801i | 0.0451290 | − | 0.108951i | −0.899708 | − | 0.436493i | \(-0.856220\pi\) |
0.944837 | + | 0.327542i | \(0.106220\pi\) | |||||||
\(968\) | 41.1747 | − | 24.4531i | 1.32341 | − | 0.785952i | ||||
\(969\) | 0.532995 | − | 1.10107i | 0.0171223 | − | 0.0353715i | ||||
\(970\) | −0.898909 | + | 0.353821i | −0.0288622 | + | 0.0113605i | ||||
\(971\) | 6.93570 | − | 34.8681i | 0.222577 | − | 1.11897i | −0.694264 | − | 0.719720i | \(-0.744270\pi\) |
0.916842 | − | 0.399251i | \(-0.130730\pi\) | |||||||
\(972\) | 15.5559 | − | 27.0188i | 0.498955 | − | 0.866628i | ||||
\(973\) | 11.7943 | − | 17.6514i | 0.378108 | − | 0.565879i | ||||
\(974\) | −16.2754 | + | 23.4479i | −0.521496 | + | 0.751318i | ||||
\(975\) | 37.6441 | + | 2.19048i | 1.20558 | + | 0.0701516i | ||||
\(976\) | −33.8715 | − | 26.2823i | −1.08420 | − | 0.841275i | ||||
\(977\) | 13.6564 | + | 13.6564i | 0.436906 | + | 0.436906i | 0.890969 | − | 0.454064i | \(-0.150026\pi\) |
−0.454064 | + | 0.890969i | \(0.650026\pi\) | |||||||
\(978\) | −9.81984 | − | 7.69838i | −0.314004 | − | 0.246167i | ||||
\(979\) | 52.9409 | − | 79.2317i | 1.69200 | − | 2.53226i | ||||
\(980\) | −1.83604 | − | 1.32320i | −0.0586501 | − | 0.0422682i | ||||
\(981\) | −2.10264 | + | 6.50581i | −0.0671320 | + | 0.207715i | ||||
\(982\) | −0.728153 | + | 1.67345i | −0.0232363 | + | 0.0534020i | ||||
\(983\) | −19.1179 | − | 46.1547i | −0.609767 | − | 1.47211i | −0.863254 | − | 0.504769i | \(-0.831578\pi\) |
0.253487 | − | 0.967339i | \(-0.418422\pi\) | |||||||
\(984\) | −19.7215 | − | 24.6824i | −0.628698 | − | 0.786845i | ||||
\(985\) | 1.59373 | − | 3.84760i | 0.0507804 | − | 0.122595i | ||||
\(986\) | 6.04010 | − | 5.82983i | 0.192356 | − | 0.185660i | ||||
\(987\) | 5.74914 | + | 1.49542i | 0.182997 | + | 0.0475998i | ||||
\(988\) | −0.271219 | + | 7.65302i | −0.00862863 | + | 0.243475i | ||||
\(989\) | 0.424322 | − | 0.0844030i | 0.0134927 | − | 0.00268386i | ||||
\(990\) | −2.27287 | − | 4.64470i | −0.0722365 | − | 0.147618i | ||||
\(991\) | 5.28427 | 0.167861 | 0.0839303 | − | 0.996472i | \(-0.473253\pi\) | ||||
0.0839303 | + | 0.996472i | \(0.473253\pi\) | |||||||
\(992\) | −16.6962 | + | 9.13173i | −0.530105 | + | 0.289933i | ||||
\(993\) | −7.06440 | + | 6.28747i | −0.224182 | + | 0.199527i | ||||
\(994\) | 8.09568 | + | 12.5933i | 0.256779 | + | 0.399436i | ||||
\(995\) | −0.315323 | − | 1.58524i | −0.00999641 | − | 0.0502554i | ||||
\(996\) | 27.8558 | + | 2.61349i | 0.882643 | + | 0.0828116i | ||||
\(997\) | 14.1500 | − | 9.45474i | 0.448135 | − | 0.299434i | −0.310949 | − | 0.950427i | \(-0.600647\pi\) |
0.759085 | + | 0.650992i | \(0.225647\pi\) | |||||||
\(998\) | −18.4287 | + | 17.7871i | −0.583349 | + | 0.563042i | ||||
\(999\) | −53.9187 | + | 11.9626i | −1.70591 | + | 0.378481i |
(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 | 192.2.s.a.11.18 | yes | 240 | |
3.2 | odd | 2 | inner | 192.2.s.a.11.13 | ✓ | 240 | |
4.3 | odd | 2 | 768.2.s.a.719.8 | 240 | |||
12.11 | even | 2 | 768.2.s.a.719.26 | 240 | |||
64.29 | even | 16 | 768.2.s.a.47.26 | 240 | |||
64.35 | odd | 16 | inner | 192.2.s.a.35.13 | yes | 240 | |
192.29 | odd | 16 | 768.2.s.a.47.8 | 240 | |||
192.35 | even | 16 | inner | 192.2.s.a.35.18 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
192.2.s.a.11.13 | ✓ | 240 | 3.2 | odd | 2 | inner | |
192.2.s.a.11.18 | yes | 240 | 1.1 | even | 1 | trivial | |
192.2.s.a.35.13 | yes | 240 | 64.35 | odd | 16 | inner | |
192.2.s.a.35.18 | yes | 240 | 192.35 | even | 16 | inner | |
768.2.s.a.47.8 | 240 | 192.29 | odd | 16 | |||
768.2.s.a.47.26 | 240 | 64.29 | even | 16 | |||
768.2.s.a.719.8 | 240 | 4.3 | odd | 2 | |||
768.2.s.a.719.26 | 240 | 12.11 | even | 2 |