Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [770,2,Mod(139,770)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(770, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("770.139");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 770.w (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.14848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 139.20 | ||
Character | \(\chi\) | \(=\) | 770.139 |
Dual form | 770.2.w.b.349.20 |
$q$-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 \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(617\) | \(661\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.809017 | + | 0.587785i | 0.572061 | + | 0.415627i | ||||
\(3\) | 0.704096 | − | 2.16698i | 0.406510 | − | 1.25111i | −0.513118 | − | 0.858318i | \(-0.671510\pi\) |
0.919628 | − | 0.392791i | \(-0.128490\pi\) | |||||||
\(4\) | 0.309017 | + | 0.951057i | 0.154508 | + | 0.475528i | ||||
\(5\) | −1.29948 | + | 1.81971i | −0.581147 | + | 0.813798i | ||||
\(6\) | 1.84335 | − | 1.33927i | 0.752543 | − | 0.546755i | ||||
\(7\) | −1.07060 | − | 2.41946i | −0.404650 | − | 0.914472i | ||||
\(8\) | −0.309017 | + | 0.951057i | −0.109254 | + | 0.336249i | ||||
\(9\) | −1.77302 | − | 1.28817i | −0.591005 | − | 0.429391i | ||||
\(10\) | −2.12090 | + | 0.708357i | −0.670688 | + | 0.224002i | ||||
\(11\) | 3.16583 | + | 0.988709i | 0.954532 | + | 0.298107i | ||||
\(12\) | 2.27850 | 0.657747 | ||||||||
\(13\) | 3.75841 | − | 5.17301i | 1.04240 | − | 1.43473i | 0.147175 | − | 0.989110i | \(-0.452982\pi\) |
0.895220 | − | 0.445624i | \(-0.147018\pi\) | |||||||
\(14\) | 0.555990 | − | 2.58667i | 0.148595 | − | 0.691317i | ||||
\(15\) | 3.02832 | + | 4.09721i | 0.781908 | + | 1.05790i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | −2.68401 | − | 3.69422i | −0.650967 | − | 0.895979i | 0.348174 | − | 0.937430i | \(-0.386802\pi\) |
−0.999141 | + | 0.0414510i | \(0.986802\pi\) | |||||||
\(18\) | −0.677232 | − | 2.08431i | −0.159625 | − | 0.491276i | ||||
\(19\) | 2.04968 | − | 6.30827i | 0.470229 | − | 1.44722i | −0.382056 | − | 0.924139i | \(-0.624784\pi\) |
0.852285 | − | 0.523078i | \(-0.175216\pi\) | |||||||
\(20\) | −2.13221 | − | 0.673563i | −0.476776 | − | 0.150613i | ||||
\(21\) | −5.99675 | + | 0.616444i | −1.30860 | + | 0.134519i | ||||
\(22\) | 1.98006 | + | 2.66071i | 0.422150 | + | 0.567265i | ||||
\(23\) | 7.23991i | 1.50963i | 0.655940 | + | 0.754813i | \(0.272272\pi\) | ||||
−0.655940 | + | 0.754813i | \(0.727728\pi\) | |||||||
\(24\) | 1.84335 | + | 1.33927i | 0.376272 | + | 0.273377i | ||||
\(25\) | −1.62268 | − | 4.72937i | −0.324536 | − | 0.945873i | ||||
\(26\) | 6.08123 | − | 1.97591i | 1.19263 | − | 0.387508i | ||||
\(27\) | 1.49022 | − | 1.08271i | 0.286793 | − | 0.208367i | ||||
\(28\) | 1.97021 | − | 1.76586i | 0.372335 | − | 0.333716i | ||||
\(29\) | 6.55107 | − | 2.12857i | 1.21650 | − | 0.395266i | 0.370696 | − | 0.928754i | \(-0.379119\pi\) |
0.845808 | + | 0.533488i | \(0.179119\pi\) | |||||||
\(30\) | 0.0416797 | + | 5.09471i | 0.00760964 | + | 0.930163i | ||||
\(31\) | −1.57964 | + | 2.17419i | −0.283712 | + | 0.390496i | −0.926959 | − | 0.375162i | \(-0.877587\pi\) |
0.643247 | + | 0.765659i | \(0.277587\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 4.37156 | − | 6.16415i | 0.760991 | − | 1.07304i | ||||
\(34\) | − | 4.56630i | − | 0.783114i | ||||||
\(35\) | 5.79395 | + | 1.19587i | 0.979357 | + | 0.202139i | ||||
\(36\) | 0.677232 | − | 2.08431i | 0.112872 | − | 0.347384i | ||||
\(37\) | 4.55444 | − | 1.47983i | 0.748746 | − | 0.243282i | 0.0903045 | − | 0.995914i | \(-0.471216\pi\) |
0.658442 | + | 0.752632i | \(0.271216\pi\) | |||||||
\(38\) | 5.36614 | − | 3.89873i | 0.870502 | − | 0.632457i | ||||
\(39\) | −8.56354 | − | 11.7867i | −1.37126 | − | 1.88738i | ||||
\(40\) | −1.32908 | − | 1.79820i | −0.210146 | − | 0.284321i | ||||
\(41\) | −2.61032 | + | 8.03374i | −0.407663 | + | 1.25466i | 0.510987 | + | 0.859588i | \(0.329280\pi\) |
−0.918651 | + | 0.395071i | \(0.870720\pi\) | |||||||
\(42\) | −5.21381 | − | 3.02609i | −0.804508 | − | 0.466935i | ||||
\(43\) | −3.77888 | −0.576274 | −0.288137 | − | 0.957589i | \(-0.593036\pi\) | ||||
−0.288137 | + | 0.957589i | \(0.593036\pi\) | |||||||
\(44\) | 0.0379755 | + | 3.31641i | 0.00572502 | + | 0.499967i | ||||
\(45\) | 4.64811 | − | 1.55241i | 0.692899 | − | 0.231420i | ||||
\(46\) | −4.25551 | + | 5.85721i | −0.627441 | + | 0.863599i | ||||
\(47\) | −0.990513 | + | 3.04849i | −0.144481 | + | 0.444667i | −0.996944 | − | 0.0781206i | \(-0.975108\pi\) |
0.852463 | + | 0.522788i | \(0.175108\pi\) | |||||||
\(48\) | 0.704096 | + | 2.16698i | 0.101627 | + | 0.312777i | ||||
\(49\) | −4.70762 | + | 5.18057i | −0.672517 | + | 0.740082i | ||||
\(50\) | 1.46708 | − | 4.77992i | 0.207476 | − | 0.675983i | ||||
\(51\) | −9.89510 | + | 3.21511i | −1.38559 | + | 0.450206i | ||||
\(52\) | 6.08123 | + | 1.97591i | 0.843316 | + | 0.274010i | ||||
\(53\) | 3.73200 | − | 5.13665i | 0.512629 | − | 0.705573i | −0.471731 | − | 0.881743i | \(-0.656371\pi\) |
0.984360 | + | 0.176169i | \(0.0563706\pi\) | |||||||
\(54\) | 1.84201 | 0.250666 | ||||||||
\(55\) | −5.91311 | + | 4.47607i | −0.797323 | + | 0.603553i | ||||
\(56\) | 2.63188 | − | 0.270548i | 0.351700 | − | 0.0361535i | ||||
\(57\) | −12.2268 | − | 8.88326i | −1.61947 | − | 1.17662i | ||||
\(58\) | 6.55107 | + | 2.12857i | 0.860198 | + | 0.279495i | ||||
\(59\) | −10.0280 | + | 3.25829i | −1.30553 | + | 0.424193i | −0.877503 | − | 0.479571i | \(-0.840792\pi\) |
−0.428030 | + | 0.903764i | \(0.640792\pi\) | |||||||
\(60\) | −2.96088 | + | 4.14621i | −0.382248 | + | 0.535273i | ||||
\(61\) | −0.595869 | + | 0.432924i | −0.0762933 | + | 0.0554303i | −0.625278 | − | 0.780402i | \(-0.715014\pi\) |
0.548985 | + | 0.835832i | \(0.315014\pi\) | |||||||
\(62\) | −2.55592 | + | 0.830467i | −0.324602 | + | 0.105469i | ||||
\(63\) | −1.21849 | + | 5.66887i | −0.153515 | + | 0.714211i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | 4.52937 | + | 13.5615i | 0.561799 | + | 1.68209i | ||||
\(66\) | 7.15986 | − | 2.41736i | 0.881318 | − | 0.297556i | ||||
\(67\) | − | 0.302004i | − | 0.0368956i | −0.999830 | − | 0.0184478i | \(-0.994128\pi\) | ||
0.999830 | − | 0.0184478i | \(-0.00587245\pi\) | |||||||
\(68\) | 2.68401 | − | 3.69422i | 0.325483 | − | 0.447990i | ||||
\(69\) | 15.6888 | + | 5.09759i | 1.88871 | + | 0.613678i | ||||
\(70\) | 3.98449 | + | 4.37308i | 0.476238 | + | 0.522683i | ||||
\(71\) | −5.81086 | + | 4.22183i | −0.689622 | + | 0.501040i | −0.876536 | − | 0.481337i | \(-0.840151\pi\) |
0.186914 | + | 0.982376i | \(0.440151\pi\) | |||||||
\(72\) | 1.77302 | − | 1.28817i | 0.208952 | − | 0.151813i | ||||
\(73\) | −2.50805 | + | 0.814915i | −0.293545 | + | 0.0953785i | −0.452087 | − | 0.891974i | \(-0.649321\pi\) |
0.158542 | + | 0.987352i | \(0.449321\pi\) | |||||||
\(74\) | 4.55444 | + | 1.47983i | 0.529443 | + | 0.172027i | ||||
\(75\) | −11.3910 | + | 0.186391i | −1.31532 | + | 0.0215226i | ||||
\(76\) | 6.63291 | 0.760847 | ||||||||
\(77\) | −0.997195 | − | 8.71812i | −0.113641 | − | 0.993522i | ||||
\(78\) | − | 14.5692i | − | 1.64963i | ||||||
\(79\) | 3.61392 | − | 4.97414i | 0.406598 | − | 0.559634i | −0.555786 | − | 0.831325i | \(-0.687583\pi\) |
0.962385 | + | 0.271691i | \(0.0875828\pi\) | |||||||
\(80\) | −0.0182926 | − | 2.23599i | −0.00204517 | − | 0.249992i | ||||
\(81\) | −3.32865 | − | 10.2445i | −0.369850 | − | 1.13828i | ||||
\(82\) | −6.83391 | + | 4.96512i | −0.754679 | + | 0.548306i | ||||
\(83\) | −1.41972 | − | 1.95408i | −0.155835 | − | 0.214489i | 0.723960 | − | 0.689842i | \(-0.242320\pi\) |
−0.879795 | + | 0.475354i | \(0.842320\pi\) | |||||||
\(84\) | −2.43937 | − | 5.51275i | −0.266157 | − | 0.601491i | ||||
\(85\) | 10.2102 | − | 0.0835295i | 1.10745 | − | 0.00906005i | ||||
\(86\) | −3.05718 | − | 2.22117i | −0.329664 | − | 0.239515i | ||||
\(87\) | − | 15.6948i | − | 1.68266i | ||||||
\(88\) | −1.91861 | + | 2.70535i | −0.204525 | + | 0.288391i | ||||
\(89\) | 1.93594i | 0.205209i | 0.994722 | + | 0.102605i | \(0.0327176\pi\) | ||||
−0.994722 | + | 0.102605i | \(0.967282\pi\) | |||||||
\(90\) | 4.67288 | + | 1.47616i | 0.492565 | + | 0.155601i | ||||
\(91\) | −16.5397 | − | 3.55510i | −1.73383 | − | 0.372676i | ||||
\(92\) | −6.88557 | + | 2.23726i | −0.717870 | + | 0.233250i | ||||
\(93\) | 3.59922 | + | 4.95390i | 0.373222 | + | 0.513695i | ||||
\(94\) | −2.59320 | + | 1.88407i | −0.267468 | + | 0.194327i | ||||
\(95\) | 8.81569 | + | 11.9273i | 0.904470 | + | 1.22372i | ||||
\(96\) | −0.704096 | + | 2.16698i | −0.0718615 | + | 0.221167i | ||||
\(97\) | 10.4319 | + | 7.57921i | 1.05920 | + | 0.769553i | 0.973940 | − | 0.226806i | \(-0.0728284\pi\) |
0.0852584 | + | 0.996359i | \(0.472828\pi\) | |||||||
\(98\) | −6.85361 | + | 1.42410i | −0.692319 | + | 0.143856i | ||||
\(99\) | −4.33943 | − | 5.83113i | −0.436129 | − | 0.586050i | ||||
\(100\) | 3.99646 | − | 3.00471i | 0.399646 | − | 0.300471i | ||||
\(101\) | 6.91398 | + | 5.02330i | 0.687967 | + | 0.499837i | 0.875991 | − | 0.482327i | \(-0.160208\pi\) |
−0.188024 | + | 0.982164i | \(0.560208\pi\) | |||||||
\(102\) | −9.89510 | − | 3.21511i | −0.979761 | − | 0.318344i | ||||
\(103\) | 2.29520 | + | 7.06390i | 0.226153 | + | 0.696027i | 0.998173 | + | 0.0604285i | \(0.0192467\pi\) |
−0.772020 | + | 0.635599i | \(0.780753\pi\) | |||||||
\(104\) | 3.75841 | + | 5.17301i | 0.368542 | + | 0.507255i | ||||
\(105\) | 6.67093 | − | 11.7134i | 0.651016 | − | 1.14311i | ||||
\(106\) | 6.03850 | − | 1.96203i | 0.586511 | − | 0.190569i | ||||
\(107\) | −6.19437 | + | 19.0643i | −0.598832 | + | 1.84302i | −0.0641880 | + | 0.997938i | \(0.520446\pi\) |
−0.534644 | + | 0.845077i | \(0.679554\pi\) | |||||||
\(108\) | 1.49022 | + | 1.08271i | 0.143396 | + | 0.104184i | ||||
\(109\) | 2.86586i | 0.274500i | 0.990536 | + | 0.137250i | \(0.0438263\pi\) | ||||
−0.990536 | + | 0.137250i | \(0.956174\pi\) | |||||||
\(110\) | −7.41477 | + | 0.145579i | −0.706971 | + | 0.0138804i | ||||
\(111\) | − | 10.9113i | − | 1.03566i | ||||||
\(112\) | 2.28826 | + | 1.32810i | 0.216220 | + | 0.125494i | ||||
\(113\) | 1.76625 | + | 0.573891i | 0.166155 | + | 0.0539871i | 0.390913 | − | 0.920427i | \(-0.372159\pi\) |
−0.224758 | + | 0.974415i | \(0.572159\pi\) | |||||||
\(114\) | −4.67020 | − | 14.3734i | −0.437405 | − | 1.34619i | ||||
\(115\) | −13.1745 | − | 9.40816i | −1.22853 | − | 0.877315i | ||||
\(116\) | 4.04879 | + | 5.57268i | 0.375920 | + | 0.517410i | ||||
\(117\) | −13.3274 | + | 4.33035i | −1.23212 | + | 0.400341i | ||||
\(118\) | −10.0280 | − | 3.25829i | −0.923151 | − | 0.299950i | ||||
\(119\) | −6.06452 | + | 10.4489i | −0.555934 | + | 0.957849i | ||||
\(120\) | −4.83248 | + | 1.61399i | −0.441143 | + | 0.147337i | ||||
\(121\) | 9.04491 | + | 6.26016i | 0.822264 | + | 0.569106i | ||||
\(122\) | −0.736535 | −0.0666827 | ||||||||
\(123\) | 15.5711 | + | 11.3130i | 1.40400 | + | 1.02006i | ||||
\(124\) | −2.55592 | − | 0.830467i | −0.229528 | − | 0.0745782i | ||||
\(125\) | 10.7147 | + | 3.19294i | 0.958353 | + | 0.285585i | ||||
\(126\) | −4.31786 | + | 3.87000i | −0.384665 | + | 0.344767i | ||||
\(127\) | −3.41122 | + | 2.47839i | −0.302697 | + | 0.219922i | −0.728756 | − | 0.684773i | \(-0.759901\pi\) |
0.426060 | + | 0.904695i | \(0.359901\pi\) | |||||||
\(128\) | −0.309017 | − | 0.951057i | −0.0273135 | − | 0.0840623i | ||||
\(129\) | −2.66070 | + | 8.18878i | −0.234261 | + | 0.720982i | ||||
\(130\) | −4.30689 | + | 13.6337i | −0.377739 | + | 1.19576i | ||||
\(131\) | 2.03914 | 0.178161 | 0.0890803 | − | 0.996024i | \(-0.471607\pi\) | ||||
0.0890803 | + | 0.996024i | \(0.471607\pi\) | |||||||
\(132\) | 7.21334 | + | 2.25278i | 0.627841 | + | 0.196079i | ||||
\(133\) | −17.4570 | + | 1.79452i | −1.51372 | + | 0.155605i | ||||
\(134\) | 0.177513 | − | 0.244326i | 0.0153348 | − | 0.0211066i | ||||
\(135\) | 0.0336952 | + | 4.11873i | 0.00290002 | + | 0.354483i | ||||
\(136\) | 4.34281 | − | 1.41107i | 0.372393 | − | 0.120998i | ||||
\(137\) | −10.3181 | − | 14.2016i | −0.881533 | − | 1.21333i | −0.975994 | − | 0.217798i | \(-0.930113\pi\) |
0.0944607 | − | 0.995529i | \(-0.469887\pi\) | |||||||
\(138\) | 9.69620 | + | 13.3457i | 0.825395 | + | 1.13606i | ||||
\(139\) | 2.58643 | + | 7.96021i | 0.219378 | + | 0.675176i | 0.998814 | + | 0.0486938i | \(0.0155058\pi\) |
−0.779436 | + | 0.626482i | \(0.784494\pi\) | |||||||
\(140\) | 0.653088 | + | 5.87992i | 0.0551960 | + | 0.496944i | ||||
\(141\) | 5.90860 | + | 4.29285i | 0.497594 | + | 0.361523i | ||||
\(142\) | −7.18261 | −0.602752 | ||||||||
\(143\) | 17.0131 | − | 12.6609i | 1.42270 | − | 1.05875i | ||||
\(144\) | 2.19157 | 0.182631 | ||||||||
\(145\) | −4.63964 | + | 14.6871i | −0.385301 | + | 1.21970i | ||||
\(146\) | −2.50805 | − | 0.814915i | −0.207568 | − | 0.0674428i | ||||
\(147\) | 7.91160 | + | 13.8490i | 0.652538 | + | 1.14224i | ||||
\(148\) | 2.81480 | + | 3.87424i | 0.231375 | + | 0.318461i | ||||
\(149\) | −4.63134 | − | 6.37450i | −0.379415 | − | 0.522219i | 0.576015 | − | 0.817439i | \(-0.304607\pi\) |
−0.955429 | + | 0.295220i | \(0.904607\pi\) | |||||||
\(150\) | −9.32506 | − | 6.54466i | −0.761388 | − | 0.534369i | ||||
\(151\) | 17.5140 | + | 5.69065i | 1.42527 | + | 0.463099i | 0.917273 | − | 0.398260i | \(-0.130386\pi\) |
0.507998 | + | 0.861358i | \(0.330386\pi\) | |||||||
\(152\) | 5.36614 | + | 3.89873i | 0.435251 | + | 0.316229i | ||||
\(153\) | 10.0074i | 0.809048i | ||||||||
\(154\) | 4.31763 | − | 7.63924i | 0.347925 | − | 0.615588i | ||||
\(155\) | −1.90367 | − | 5.69982i | −0.152907 | − | 0.457821i | ||||
\(156\) | 8.56354 | − | 11.7867i | 0.685632 | − | 0.943692i | ||||
\(157\) | −3.16069 | + | 9.72760i | −0.252251 | + | 0.776347i | 0.742108 | + | 0.670280i | \(0.233826\pi\) |
−0.994359 | + | 0.106067i | \(0.966174\pi\) | |||||||
\(158\) | 5.84745 | − | 1.89995i | 0.465198 | − | 0.151152i | ||||
\(159\) | −8.50336 | − | 11.7039i | −0.674360 | − | 0.928177i | ||||
\(160\) | 1.29948 | − | 1.81971i | 0.102733 | − | 0.143861i | ||||
\(161\) | 17.5167 | − | 7.75107i | 1.38051 | − | 0.610870i | ||||
\(162\) | 3.32865 | − | 10.2445i | 0.261523 | − | 0.804886i | ||||
\(163\) | 3.76914 | − | 5.18778i | 0.295222 | − | 0.406339i | −0.635479 | − | 0.772118i | \(-0.719198\pi\) |
0.930702 | + | 0.365779i | \(0.119198\pi\) | |||||||
\(164\) | −8.44717 | −0.659613 | ||||||||
\(165\) | 5.53617 | + | 15.9652i | 0.430991 | + | 1.24289i | ||||
\(166\) | − | 2.41538i | − | 0.187470i | ||||||
\(167\) | −4.79103 | + | 6.59429i | −0.370741 | + | 0.510281i | −0.953102 | − | 0.302649i | \(-0.902129\pi\) |
0.582361 | + | 0.812930i | \(0.302129\pi\) | |||||||
\(168\) | 1.26682 | − | 5.89374i | 0.0977376 | − | 0.454712i | ||||
\(169\) | −8.61714 | − | 26.5208i | −0.662857 | − | 2.04006i | ||||
\(170\) | 8.30934 | + | 5.93384i | 0.637297 | + | 0.455105i | ||||
\(171\) | −11.7603 | + | 8.54433i | −0.899330 | + | 0.653401i | ||||
\(172\) | −1.16774 | − | 3.59393i | −0.0890393 | − | 0.274035i | ||||
\(173\) | 1.07120 | + | 0.348055i | 0.0814420 | + | 0.0264621i | 0.349455 | − | 0.936953i | \(-0.386367\pi\) |
−0.268013 | + | 0.963415i | \(0.586367\pi\) | |||||||
\(174\) | 9.22517 | − | 12.6974i | 0.699358 | − | 0.962584i | ||||
\(175\) | −9.70529 | + | 8.98929i | −0.733651 | + | 0.679526i | ||||
\(176\) | −3.14236 | + | 1.06094i | −0.236864 | + | 0.0799716i | ||||
\(177\) | 24.0246i | 1.80580i | ||||||||
\(178\) | −1.13792 | + | 1.56621i | −0.0852904 | + | 0.117392i | ||||
\(179\) | 3.37804 | − | 10.3965i | 0.252487 | − | 0.777074i | −0.741828 | − | 0.670590i | \(-0.766041\pi\) |
0.994314 | − | 0.106484i | \(-0.0339592\pi\) | |||||||
\(180\) | 2.91278 | + | 3.94089i | 0.217106 | + | 0.293736i | ||||
\(181\) | 0.689460 | + | 0.948960i | 0.0512471 | + | 0.0705356i | 0.833871 | − | 0.551959i | \(-0.186119\pi\) |
−0.782624 | + | 0.622494i | \(0.786119\pi\) | |||||||
\(182\) | −11.2912 | − | 12.5979i | −0.836962 | − | 0.933820i | ||||
\(183\) | 0.518591 | + | 1.59606i | 0.0383354 | + | 0.117984i | ||||
\(184\) | −6.88557 | − | 2.23726i | −0.507611 | − | 0.164933i | ||||
\(185\) | −3.22557 | + | 10.2108i | −0.237149 | + | 0.750711i | ||||
\(186\) | 6.12336i | 0.448986i | ||||||||
\(187\) | −4.84459 | − | 14.3489i | −0.354271 | − | 1.04930i | ||||
\(188\) | −3.20537 | −0.233776 | ||||||||
\(189\) | −4.21500 | − | 2.44638i | −0.306596 | − | 0.177948i | ||||
\(190\) | 0.121333 | + | 14.8311i | 0.00880243 | + | 1.07596i | ||||
\(191\) | 3.01844 | + | 9.28979i | 0.218406 | + | 0.672186i | 0.998894 | + | 0.0470149i | \(0.0149708\pi\) |
−0.780488 | + | 0.625171i | \(0.785029\pi\) | |||||||
\(192\) | −1.84335 | + | 1.33927i | −0.133032 | + | 0.0966535i | ||||
\(193\) | −11.0353 | + | 8.01764i | −0.794341 | + | 0.577122i | −0.909248 | − | 0.416254i | \(-0.863343\pi\) |
0.114908 | + | 0.993376i | \(0.463343\pi\) | |||||||
\(194\) | 3.98463 | + | 12.2634i | 0.286080 | + | 0.880463i | ||||
\(195\) | 32.5766 | − | 0.266508i | 2.33286 | − | 0.0190850i | ||||
\(196\) | −6.38175 | − | 2.87633i | −0.455839 | − | 0.205452i | ||||
\(197\) | 23.3142 | 1.66107 | 0.830536 | − | 0.556966i | \(-0.188035\pi\) | ||||
0.830536 | + | 0.556966i | \(0.188035\pi\) | |||||||
\(198\) | −0.0832258 | − | 7.26814i | −0.00591460 | − | 0.516524i | ||||
\(199\) | − | 7.86393i | − | 0.557459i | −0.960370 | − | 0.278730i | \(-0.910087\pi\) | ||
0.960370 | − | 0.278730i | \(-0.0899133\pi\) | |||||||
\(200\) | 4.99933 | − | 0.0818042i | 0.353506 | − | 0.00578443i | ||||
\(201\) | −0.654437 | − | 0.212639i | −0.0461604 | − | 0.0149984i | ||||
\(202\) | 2.64091 | + | 8.12787i | 0.185813 | + | 0.571875i | ||||
\(203\) | −12.1636 | − | 13.5712i | −0.853718 | − | 0.952514i | ||||
\(204\) | −6.11551 | − | 8.41728i | −0.428171 | − | 0.589327i | ||||
\(205\) | −11.2270 | − | 15.1897i | −0.784127 | − | 1.06090i | ||||
\(206\) | −2.29520 | + | 7.06390i | −0.159914 | + | 0.492166i | ||||
\(207\) | 9.32625 | − | 12.8365i | 0.648219 | − | 0.892197i | ||||
\(208\) | 6.39419i | 0.443357i | ||||||||
\(209\) | 12.7260 | − | 17.9444i | 0.880275 | − | 1.24124i | ||||
\(210\) | 12.2819 | − | 5.55526i | 0.847529 | − | 0.383349i | ||||
\(211\) | −3.78410 | + | 5.20837i | −0.260508 | + | 0.358559i | −0.919157 | − | 0.393892i | \(-0.871128\pi\) |
0.658648 | + | 0.752451i | \(0.271128\pi\) | |||||||
\(212\) | 6.03850 | + | 1.96203i | 0.414726 | + | 0.134753i | ||||
\(213\) | 5.05725 | + | 15.5646i | 0.346517 | + | 1.06647i | ||||
\(214\) | −16.2171 | + | 11.7824i | −1.10858 | + | 0.805427i | ||||
\(215\) | 4.91060 | − | 6.87647i | 0.334900 | − | 0.468971i | ||||
\(216\) | 0.569213 | + | 1.75186i | 0.0387300 | + | 0.119199i | ||||
\(217\) | 6.95155 | + | 1.49419i | 0.471902 | + | 0.101433i | ||||
\(218\) | −1.68451 | + | 2.31853i | −0.114090 | + | 0.157031i | ||||
\(219\) | 6.00868i | 0.406029i | ||||||||
\(220\) | −6.08424 | − | 4.24052i | −0.410200 | − | 0.285896i | ||||
\(221\) | −29.1978 | −1.96406 | ||||||||
\(222\) | 6.41353 | − | 8.82747i | 0.430448 | − | 0.592461i | ||||
\(223\) | −8.71755 | + | 26.8299i | −0.583771 | + | 1.79666i | 0.0203816 | + | 0.999792i | \(0.493512\pi\) |
−0.604152 | + | 0.796869i | \(0.706488\pi\) | |||||||
\(224\) | 1.07060 | + | 2.41946i | 0.0715327 | + | 0.161657i | ||||
\(225\) | −3.21520 | + | 10.4755i | −0.214347 | + | 0.698369i | ||||
\(226\) | 1.09161 | + | 1.50247i | 0.0726125 | + | 0.0999426i | ||||
\(227\) | 2.26160 | − | 0.734839i | 0.150108 | − | 0.0487730i | −0.232999 | − | 0.972477i | \(-0.574854\pi\) |
0.383107 | + | 0.923704i | \(0.374854\pi\) | |||||||
\(228\) | 4.67020 | − | 14.3734i | 0.309292 | − | 0.951902i | ||||
\(229\) | 1.67810 | − | 2.30970i | 0.110892 | − | 0.152629i | −0.749964 | − | 0.661479i | \(-0.769929\pi\) |
0.860855 | + | 0.508850i | \(0.169929\pi\) | |||||||
\(230\) | −5.12844 | − | 15.3552i | −0.338160 | − | 1.01249i | ||||
\(231\) | −19.5941 | − | 3.97749i | −1.28920 | − | 0.261699i | ||||
\(232\) | 6.88821i | 0.452233i | ||||||||
\(233\) | −19.7751 | − | 14.3674i | −1.29551 | − | 0.941241i | −0.295606 | − | 0.955310i | \(-0.595522\pi\) |
−0.999901 | + | 0.0140687i | \(0.995522\pi\) | |||||||
\(234\) | −13.3274 | − | 4.33035i | −0.871242 | − | 0.283084i | ||||
\(235\) | −4.26020 | − | 5.76391i | −0.277905 | − | 0.375996i | ||||
\(236\) | −6.19764 | − | 8.53032i | −0.403432 | − | 0.555276i | ||||
\(237\) | −8.23433 | − | 11.3336i | −0.534877 | − | 0.736195i | ||||
\(238\) | −11.0480 | + | 4.88870i | −0.716136 | + | 0.316887i | ||||
\(239\) | −15.1024 | − | 4.90708i | −0.976895 | − | 0.317413i | −0.223299 | − | 0.974750i | \(-0.571683\pi\) |
−0.753596 | + | 0.657337i | \(0.771683\pi\) | |||||||
\(240\) | −4.85824 | − | 1.53471i | −0.313598 | − | 0.0990653i | ||||
\(241\) | 7.78306 | 0.501351 | 0.250676 | − | 0.968071i | \(-0.419347\pi\) | ||||
0.250676 | + | 0.968071i | \(0.419347\pi\) | |||||||
\(242\) | 3.63785 | + | 10.3810i | 0.233850 | + | 0.667319i | ||||
\(243\) | −19.0174 | −1.21997 | ||||||||
\(244\) | −0.595869 | − | 0.432924i | −0.0381466 | − | 0.0277151i | ||||
\(245\) | −3.30965 | − | 15.2986i | −0.211446 | − | 0.977390i | ||||
\(246\) | 5.94762 | + | 18.3049i | 0.379206 | + | 1.16708i | ||||
\(247\) | −24.9292 | − | 34.3121i | −1.58621 | − | 2.18323i | ||||
\(248\) | −1.57964 | − | 2.17419i | −0.100307 | − | 0.138061i | ||||
\(249\) | −5.23409 | + | 1.70066i | −0.331697 | + | 0.107775i | ||||
\(250\) | 6.79163 | + | 8.88109i | 0.429540 | + | 0.561690i | ||||
\(251\) | 1.55802 | − | 2.14443i | 0.0983414 | − | 0.135355i | −0.757011 | − | 0.653403i | \(-0.773341\pi\) |
0.855352 | + | 0.518047i | \(0.173341\pi\) | |||||||
\(252\) | −5.76795 | + | 0.592925i | −0.363347 | + | 0.0373507i | ||||
\(253\) | −7.15817 | + | 22.9203i | −0.450030 | + | 1.44099i | ||||
\(254\) | −4.21650 | −0.264567 | ||||||||
\(255\) | 7.00797 | − | 22.1842i | 0.438856 | − | 1.38923i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 3.54922 | + | 10.9234i | 0.221394 | + | 0.681382i | 0.998638 | + | 0.0521818i | \(0.0166175\pi\) |
−0.777243 | + | 0.629200i | \(0.783382\pi\) | |||||||
\(258\) | −6.96579 | + | 5.06094i | −0.433671 | + | 0.315081i | ||||
\(259\) | −8.45639 | − | 9.43501i | −0.525455 | − | 0.586263i | ||||
\(260\) | −11.4981 | + | 8.49841i | −0.713079 | + | 0.527049i | ||||
\(261\) | −14.3571 | − | 4.66491i | −0.888684 | − | 0.288751i | ||||
\(262\) | 1.64970 | + | 1.19858i | 0.101919 | + | 0.0740483i | ||||
\(263\) | 4.03855 | 0.249028 | 0.124514 | − | 0.992218i | \(-0.460263\pi\) | ||||
0.124514 | + | 0.992218i | \(0.460263\pi\) | |||||||
\(264\) | 4.51157 | + | 6.06243i | 0.277668 | + | 0.373117i | ||||
\(265\) | 4.49754 | + | 13.4661i | 0.276282 | + | 0.827219i | ||||
\(266\) | −15.1778 | − | 8.80919i | −0.930613 | − | 0.540126i | ||||
\(267\) | 4.19515 | + | 1.36309i | 0.256739 | + | 0.0834195i | ||||
\(268\) | 0.287222 | − | 0.0933242i | 0.0175449 | − | 0.00570069i | ||||
\(269\) | −16.1617 | − | 22.2447i | −0.985396 | − | 1.35628i | −0.933871 | − | 0.357609i | \(-0.883592\pi\) |
−0.0515240 | − | 0.998672i | \(-0.516408\pi\) | |||||||
\(270\) | −2.39367 | + | 3.35192i | −0.145674 | + | 0.203992i | ||||
\(271\) | −8.99633 | − | 27.6879i | −0.546488 | − | 1.68192i | −0.717425 | − | 0.696635i | \(-0.754680\pi\) |
0.170937 | − | 0.985282i | \(-0.445320\pi\) | |||||||
\(272\) | 4.34281 | + | 1.41107i | 0.263322 | + | 0.0855584i | ||||
\(273\) | −19.3494 | + | 33.3381i | −1.17108 | + | 2.01771i | ||||
\(274\) | − | 17.5542i | − | 1.06049i | ||||||
\(275\) | −0.461148 | − | 16.5767i | −0.0278083 | − | 0.999613i | ||||
\(276\) | 16.4962i | 0.992952i | ||||||||
\(277\) | 14.5290 | + | 10.5560i | 0.872966 | + | 0.634247i | 0.931381 | − | 0.364046i | \(-0.118605\pi\) |
−0.0584153 | + | 0.998292i | \(0.518605\pi\) | |||||||
\(278\) | −2.58643 | + | 7.96021i | −0.155124 | + | 0.477421i | ||||
\(279\) | 5.60147 | − | 1.82003i | 0.335351 | − | 0.108962i | ||||
\(280\) | −2.92777 | + | 5.14083i | −0.174968 | + | 0.307223i | ||||
\(281\) | 10.2088 | + | 14.0512i | 0.609005 | + | 0.838223i | 0.996495 | − | 0.0836507i | \(-0.0266580\pi\) |
−0.387490 | + | 0.921874i | \(0.626658\pi\) | |||||||
\(282\) | 2.25689 | + | 6.94598i | 0.134396 | + | 0.413627i | ||||
\(283\) | −14.7161 | − | 4.78154i | −0.874779 | − | 0.284233i | −0.162991 | − | 0.986628i | \(-0.552114\pi\) |
−0.711788 | + | 0.702395i | \(0.752114\pi\) | |||||||
\(284\) | −5.81086 | − | 4.22183i | −0.344811 | − | 0.250520i | ||||
\(285\) | 32.0534 | − | 10.7055i | 1.89868 | − | 0.634137i | ||||
\(286\) | 21.2057 | − | 0.242822i | 1.25392 | − | 0.0143584i | ||||
\(287\) | 22.2320 | − | 2.28537i | 1.31231 | − | 0.134901i | ||||
\(288\) | 1.77302 | + | 1.28817i | 0.104476 | + | 0.0759063i | ||||
\(289\) | −1.19006 | + | 3.66263i | −0.0700036 | + | 0.215449i | ||||
\(290\) | −12.3864 | + | 9.15500i | −0.727355 | + | 0.537600i | ||||
\(291\) | 23.7691 | − | 17.2692i | 1.39337 | − | 1.01234i | ||||
\(292\) | −1.55006 | − | 2.13347i | −0.0907104 | − | 0.124852i | ||||
\(293\) | −15.2809 | + | 4.96506i | −0.892719 | + | 0.290062i | −0.719229 | − | 0.694774i | \(-0.755505\pi\) |
−0.173491 | + | 0.984836i | \(0.555505\pi\) | |||||||
\(294\) | −1.73959 | + | 15.8544i | −0.101455 | + | 0.924645i | ||||
\(295\) | 7.10208 | − | 22.4821i | 0.413499 | − | 1.30896i | ||||
\(296\) | 4.78883i | 0.278345i | ||||||||
\(297\) | 5.78826 | − | 1.95427i | 0.335869 | − | 0.113398i | ||||
\(298\) | − | 7.87931i | − | 0.456436i | ||||||
\(299\) | 37.4521 | + | 27.2106i | 2.16591 | + | 1.57363i | ||||
\(300\) | −3.69728 | − | 10.7759i | −0.213462 | − | 0.622145i | ||||
\(301\) | 4.04568 | + | 9.14288i | 0.233189 | + | 0.526987i | ||||
\(302\) | 10.8243 | + | 14.8983i | 0.622866 | + | 0.857302i | ||||
\(303\) | 15.7535 | − | 11.4456i | 0.905016 | − | 0.657532i | ||||
\(304\) | 2.04968 | + | 6.30827i | 0.117557 | + | 0.361804i | ||||
\(305\) | −0.0134731 | − | 1.64689i | −0.000771469 | − | 0.0943005i | ||||
\(306\) | −5.88218 | + | 8.09613i | −0.336262 | + | 0.462825i | ||||
\(307\) | − | 5.40785i | − | 0.308643i | −0.988021 | − | 0.154321i | \(-0.950681\pi\) | ||
0.988021 | − | 0.154321i | \(-0.0493191\pi\) | |||||||
\(308\) | 7.98327 | − | 3.64244i | 0.454889 | − | 0.207547i | ||||
\(309\) | 16.9234 | 0.962739 | ||||||||
\(310\) | 1.81017 | − | 5.73020i | 0.102810 | − | 0.325454i | ||||
\(311\) | 21.9630 | + | 7.13622i | 1.24541 | + | 0.404658i | 0.856273 | − | 0.516523i | \(-0.172774\pi\) |
0.389135 | + | 0.921181i | \(0.372774\pi\) | |||||||
\(312\) | 13.8561 | − | 4.50212i | 0.784447 | − | 0.254882i | ||||
\(313\) | −5.02633 | + | 3.65185i | −0.284105 | + | 0.206415i | −0.720706 | − | 0.693241i | \(-0.756182\pi\) |
0.436601 | + | 0.899655i | \(0.356182\pi\) | |||||||
\(314\) | −8.27479 | + | 6.01199i | −0.466974 | + | 0.339276i | ||||
\(315\) | −8.73228 | − | 9.58391i | −0.492008 | − | 0.539992i | ||||
\(316\) | 5.84745 | + | 1.89995i | 0.328945 | + | 0.106881i | ||||
\(317\) | 13.7319 | − | 18.9004i | 0.771263 | − | 1.06155i | −0.224930 | − | 0.974375i | \(-0.572215\pi\) |
0.996193 | − | 0.0871776i | \(-0.0277848\pi\) | |||||||
\(318\) | − | 14.4668i | − | 0.811257i | ||||||
\(319\) | 22.8441 | − | 0.261583i | 1.27902 | − | 0.0146458i | ||||
\(320\) | 2.12090 | − | 0.708357i | 0.118562 | − | 0.0395984i | ||||
\(321\) | 36.9506 | + | 26.8462i | 2.06238 | + | 1.49841i | ||||
\(322\) | 18.7273 | + | 4.02532i | 1.04363 | + | 0.224322i | ||||
\(323\) | −28.8055 | + | 9.35947i | −1.60278 | + | 0.520775i | ||||
\(324\) | 8.71451 | − | 6.33147i | 0.484140 | − | 0.351748i | ||||
\(325\) | −30.5637 | − | 9.38077i | −1.69537 | − | 0.520352i | ||||
\(326\) | 6.09860 | − | 1.98156i | 0.337770 | − | 0.109748i | ||||
\(327\) | 6.21028 | + | 2.01784i | 0.343429 | + | 0.111587i | ||||
\(328\) | −6.83391 | − | 4.96512i | −0.377339 | − | 0.274153i | ||||
\(329\) | 8.43615 | − | 0.867206i | 0.465100 | − | 0.0478106i | ||||
\(330\) | −4.90524 | + | 16.1702i | −0.270025 | + | 0.890139i | ||||
\(331\) | 2.51487 | 0.138230 | 0.0691149 | − | 0.997609i | \(-0.477982\pi\) | ||||
0.0691149 | + | 0.997609i | \(0.477982\pi\) | |||||||
\(332\) | 1.41972 | − | 1.95408i | 0.0779175 | − | 0.107244i | ||||
\(333\) | −9.98138 | − | 3.24315i | −0.546976 | − | 0.177723i | ||||
\(334\) | −7.75205 | + | 2.51879i | −0.424173 | + | 0.137822i | ||||
\(335\) | 0.549559 | + | 0.392449i | 0.0300256 | + | 0.0214418i | ||||
\(336\) | 4.48913 | − | 4.02351i | 0.244902 | − | 0.219501i | ||||
\(337\) | 1.41170 | + | 4.34476i | 0.0769001 | + | 0.236674i | 0.982116 | − | 0.188279i | \(-0.0602908\pi\) |
−0.905216 | + | 0.424953i | \(0.860291\pi\) | |||||||
\(338\) | 8.61714 | − | 26.5208i | 0.468711 | − | 1.44254i | ||||
\(339\) | 2.48722 | − | 3.42337i | 0.135088 | − | 0.185932i | ||||
\(340\) | 3.23457 | + | 9.68469i | 0.175419 | + | 0.525226i | ||||
\(341\) | −7.15052 | + | 5.32131i | −0.387222 | + | 0.288165i | ||||
\(342\) | −14.5365 | −0.786043 | ||||||||
\(343\) | 17.5742 | + | 5.84358i | 0.948918 | + | 0.315524i | ||||
\(344\) | 1.16774 | − | 3.59393i | 0.0629603 | − | 0.193772i | ||||
\(345\) | −29.6635 | + | 21.9248i | −1.59703 | + | 1.18039i | ||||
\(346\) | 0.662039 | + | 0.911219i | 0.0355914 | + | 0.0489874i | ||||
\(347\) | −18.8292 | + | 13.6802i | −1.01080 | + | 0.734392i | −0.964378 | − | 0.264530i | \(-0.914783\pi\) |
−0.0464263 | + | 0.998922i | \(0.514783\pi\) | |||||||
\(348\) | 14.9266 | − | 4.84996i | 0.800151 | − | 0.259985i | ||||
\(349\) | −0.491894 | + | 1.51389i | −0.0263305 | + | 0.0810369i | −0.963358 | − | 0.268218i | \(-0.913565\pi\) |
0.937028 | + | 0.349255i | \(0.113565\pi\) | |||||||
\(350\) | −13.1355 | + | 1.56786i | −0.702123 | + | 0.0838055i | ||||
\(351\) | − | 11.7782i | − | 0.628672i | ||||||
\(352\) | −3.16583 | − | 0.988709i | −0.168739 | − | 0.0526984i | ||||
\(353\) | −18.7369 | −0.997264 | −0.498632 | − | 0.866814i | \(-0.666164\pi\) | ||||
−0.498632 | + | 0.866814i | \(0.666164\pi\) | |||||||
\(354\) | −14.1213 | + | 19.4363i | −0.750540 | + | 1.03303i | ||||
\(355\) | −0.131389 | − | 16.0603i | −0.00697338 | − | 0.852391i | ||||
\(356\) | −1.84119 | + | 0.598238i | −0.0975827 | + | 0.0317065i | ||||
\(357\) | 18.3726 | + | 20.4987i | 0.972380 | + | 1.08491i | ||||
\(358\) | 8.84383 | − | 6.42542i | 0.467411 | − | 0.339594i | ||||
\(359\) | 20.0708 | − | 6.52140i | 1.05930 | − | 0.344186i | 0.272986 | − | 0.962018i | \(-0.411989\pi\) |
0.786310 | + | 0.617832i | \(0.211989\pi\) | |||||||
\(360\) | 0.0400895 | + | 4.90033i | 0.00211290 | + | 0.258270i | ||||
\(361\) | −20.2218 | − | 14.6920i | −1.06430 | − | 0.773263i | ||||
\(362\) | 1.17298i | 0.0616504i | ||||||||
\(363\) | 19.9342 | − | 15.1924i | 1.04627 | − | 0.797395i | ||||
\(364\) | −1.72994 | − | 16.8288i | −0.0906732 | − | 0.882066i | ||||
\(365\) | 1.77626 | − | 5.62289i | 0.0929739 | − | 0.294315i | ||||
\(366\) | −0.518591 | + | 1.59606i | −0.0271072 | + | 0.0834274i | ||||
\(367\) | 0.145119 | + | 0.446629i | 0.00757513 | + | 0.0233139i | 0.954773 | − | 0.297337i | \(-0.0960984\pi\) |
−0.947198 | + | 0.320651i | \(0.896098\pi\) | |||||||
\(368\) | −4.25551 | − | 5.85721i | −0.221834 | − | 0.305328i | ||||
\(369\) | 14.9770 | − | 10.8814i | 0.779670 | − | 0.566463i | ||||
\(370\) | −8.61129 | + | 6.36475i | −0.447680 | + | 0.330887i | ||||
\(371\) | −16.4234 | − | 3.53012i | −0.852662 | − | 0.183275i | ||||
\(372\) | −3.59922 | + | 4.95390i | −0.186611 | + | 0.256848i | ||||
\(373\) | 33.7017 | 1.74501 | 0.872504 | − | 0.488607i | \(-0.162495\pi\) | ||||
0.872504 | + | 0.488607i | \(0.162495\pi\) | |||||||
\(374\) | 4.51475 | − | 14.4561i | 0.233452 | − | 0.747508i | ||||
\(375\) | 14.4632 | − | 20.9705i | 0.746878 | − | 1.08291i | ||||
\(376\) | −2.59320 | − | 1.88407i | −0.133734 | − | 0.0971634i | ||||
\(377\) | 13.6105 | − | 41.8888i | 0.700976 | − | 2.15738i | ||||
\(378\) | −1.97206 | − | 4.45668i | −0.101432 | − | 0.229227i | ||||
\(379\) | 4.32563 | − | 3.14276i | 0.222193 | − | 0.161433i | −0.471120 | − | 0.882069i | \(-0.656150\pi\) |
0.693313 | + | 0.720636i | \(0.256150\pi\) | |||||||
\(380\) | −8.61937 | + | 12.0700i | −0.442164 | + | 0.619176i | ||||
\(381\) | 2.96882 | + | 9.13708i | 0.152097 | + | 0.468107i | ||||
\(382\) | −3.01844 | + | 9.28979i | −0.154437 | + | 0.475307i | ||||
\(383\) | −19.8509 | − | 14.4225i | −1.01433 | − | 0.736957i | −0.0492202 | − | 0.998788i | \(-0.515674\pi\) |
−0.965114 | + | 0.261831i | \(0.915674\pi\) | |||||||
\(384\) | −2.27850 | −0.116274 | ||||||||
\(385\) | 17.1603 | + | 9.51446i | 0.874569 | + | 0.484902i | ||||
\(386\) | −13.6404 | −0.694279 | ||||||||
\(387\) | 6.70002 | + | 4.86785i | 0.340581 | + | 0.247447i | ||||
\(388\) | −3.98463 | + | 12.2634i | −0.202289 | + | 0.622581i | ||||
\(389\) | 9.12749 | + | 28.0915i | 0.462782 | + | 1.42430i | 0.861751 | + | 0.507332i | \(0.169368\pi\) |
−0.398969 | + | 0.916965i | \(0.630632\pi\) | |||||||
\(390\) | 26.5116 | + | 18.9324i | 1.34247 | + | 0.958680i | ||||
\(391\) | 26.7458 | − | 19.4320i | 1.35259 | − | 0.982717i | ||||
\(392\) | −3.47228 | − | 6.07810i | −0.175377 | − | 0.306990i | ||||
\(393\) | 1.43575 | − | 4.41878i | 0.0724240 | − | 0.222898i | ||||
\(394\) | 18.8616 | + | 13.7038i | 0.950235 | + | 0.690386i | ||||
\(395\) | 4.35524 | + | 13.0401i | 0.219136 | + | 0.656119i | ||||
\(396\) | 4.20477 | − | 5.92896i | 0.211298 | − | 0.297942i | ||||
\(397\) | −19.2410 | −0.965679 | −0.482839 | − | 0.875709i | \(-0.660394\pi\) | ||||
−0.482839 | + | 0.875709i | \(0.660394\pi\) | |||||||
\(398\) | 4.62230 | − | 6.36205i | 0.231695 | − | 0.318901i | ||||
\(399\) | −8.40273 | + | 39.0926i | −0.420663 | + | 1.95708i | ||||
\(400\) | 4.09263 | + | 2.87235i | 0.204631 | + | 0.143618i | ||||
\(401\) | 12.1072 | − | 8.79639i | 0.604604 | − | 0.439271i | −0.242906 | − | 0.970050i | \(-0.578101\pi\) |
0.847510 | + | 0.530779i | \(0.178101\pi\) | |||||||
\(402\) | −0.404464 | − | 0.556697i | −0.0201728 | − | 0.0277655i | ||||
\(403\) | 5.31017 | + | 16.3430i | 0.264518 | + | 0.814103i | ||||
\(404\) | −2.64091 | + | 8.12787i | −0.131390 | + | 0.404377i | ||||
\(405\) | 22.9676 | + | 7.25544i | 1.14127 | + | 0.360526i | ||||
\(406\) | −1.86359 | − | 18.1289i | −0.0924885 | − | 0.899725i | ||||
\(407\) | 15.8817 | − | 0.181858i | 0.787227 | − | 0.00901436i | ||||
\(408\) | − | 10.4043i | − | 0.515091i | ||||||
\(409\) | −12.3190 | − | 8.95030i | −0.609137 | − | 0.442564i | 0.239974 | − | 0.970779i | \(-0.422861\pi\) |
−0.849110 | + | 0.528216i | \(0.822861\pi\) | |||||||
\(410\) | −0.154521 | − | 18.8878i | −0.00763123 | − | 0.932803i | ||||
\(411\) | −38.0396 | + | 12.3598i | −1.87635 | + | 0.609665i | ||||
\(412\) | −6.00892 | + | 4.36573i | −0.296038 | + | 0.215084i | ||||
\(413\) | 18.6193 | + | 20.7740i | 0.916197 | + | 1.02222i | ||||
\(414\) | 15.0902 | − | 4.90310i | 0.741643 | − | 0.240974i | ||||
\(415\) | 5.40077 | − | 0.0441836i | 0.265114 | − | 0.00216889i | ||||
\(416\) | −3.75841 | + | 5.17301i | −0.184271 | + | 0.253628i | ||||
\(417\) | 19.0707 | 0.933898 | ||||||||
\(418\) | 20.8430 | − | 7.03714i | 1.01946 | − | 0.344198i | ||||
\(419\) | − | 0.446137i | − | 0.0217952i | −0.999941 | − | 0.0108976i | \(-0.996531\pi\) | ||
0.999941 | − | 0.0108976i | \(-0.00346889\pi\) | |||||||
\(420\) | 13.2015 | + | 2.72480i | 0.644169 | + | 0.132956i | ||||
\(421\) | −0.753877 | + | 2.32020i | −0.0367417 | + | 0.113079i | −0.967745 | − | 0.251931i | \(-0.918934\pi\) |
0.931004 | + | 0.365010i | \(0.118934\pi\) | |||||||
\(422\) | −6.12281 | + | 1.98942i | −0.298054 | + | 0.0968435i | ||||
\(423\) | 5.68317 | − | 4.12907i | 0.276325 | − | 0.200762i | ||||
\(424\) | 3.73200 | + | 5.13665i | 0.181242 | + | 0.249458i | ||||
\(425\) | −13.1160 | + | 18.6882i | −0.636221 | + | 0.906510i | ||||
\(426\) | −5.05725 | + | 15.5646i | −0.245024 | + | 0.754108i | ||||
\(427\) | 1.68538 | + | 0.978195i | 0.0815615 | + | 0.0473382i | ||||
\(428\) | −20.0454 | −0.968930 | ||||||||
\(429\) | −15.4571 | − | 45.7815i | −0.746274 | − | 2.21035i | ||||
\(430\) | 8.01465 | − | 2.67680i | 0.386501 | − | 0.129087i | ||||
\(431\) | −15.4223 | + | 21.2270i | −0.742865 | + | 1.02247i | 0.255583 | + | 0.966787i | \(0.417732\pi\) |
−0.998449 | + | 0.0556793i | \(0.982268\pi\) | |||||||
\(432\) | −0.569213 | + | 1.75186i | −0.0273863 | + | 0.0842863i | ||||
\(433\) | 6.08490 | + | 18.7274i | 0.292421 | + | 0.899981i | 0.984075 | + | 0.177752i | \(0.0568824\pi\) |
−0.691654 | + | 0.722229i | \(0.743118\pi\) | |||||||
\(434\) | 4.74566 | + | 5.29485i | 0.227799 | + | 0.254161i | ||||
\(435\) | 28.5599 | + | 20.3951i | 1.36934 | + | 0.977872i | ||||
\(436\) | −2.72560 | + | 0.885600i | −0.130532 | + | 0.0424126i | ||||
\(437\) | 45.6714 | + | 14.8395i | 2.18476 | + | 0.709871i | ||||
\(438\) | −3.53181 | + | 4.86112i | −0.168757 | + | 0.232273i | ||||
\(439\) | −13.4365 | −0.641288 | −0.320644 | − | 0.947200i | \(-0.603899\pi\) | ||||
−0.320644 | + | 0.947200i | \(0.603899\pi\) | |||||||
\(440\) | −2.42974 | − | 7.00688i | −0.115833 | − | 0.334040i | ||||
\(441\) | 15.0202 | − | 3.12102i | 0.715245 | − | 0.148620i | ||||
\(442\) | −23.6215 | − | 17.1620i | −1.12356 | − | 0.816315i | ||||
\(443\) | −7.96079 | − | 2.58662i | −0.378229 | − | 0.122894i | 0.113732 | − | 0.993511i | \(-0.463720\pi\) |
−0.491961 | + | 0.870618i | \(0.663720\pi\) | |||||||
\(444\) | 10.3773 | − | 3.37179i | 0.492485 | − | 0.160018i | ||||
\(445\) | −3.52284 | − | 2.51572i | −0.166999 | − | 0.119257i | ||||
\(446\) | −22.8229 | + | 16.5818i | −1.08069 | + | 0.785170i | ||||
\(447\) | −17.0743 | + | 5.54779i | −0.807589 | + | 0.262402i | ||||
\(448\) | −0.555990 | + | 2.58667i | −0.0262681 | + | 0.122209i | ||||
\(449\) | 5.16501 | + | 3.75260i | 0.243752 | + | 0.177096i | 0.702953 | − | 0.711236i | \(-0.251864\pi\) |
−0.459201 | + | 0.888332i | \(0.651864\pi\) | |||||||
\(450\) | −8.75852 | + | 6.58504i | −0.412880 | + | 0.310422i | ||||
\(451\) | −16.2068 | + | 22.8526i | −0.763151 | + | 1.07609i | ||||
\(452\) | 1.85715i | 0.0873530i | ||||||||
\(453\) | 24.6631 | − | 33.9458i | 1.15877 | − | 1.59491i | ||||
\(454\) | 2.26160 | + | 0.734839i | 0.106142 | + | 0.0344877i | ||||
\(455\) | 27.9623 | − | 25.4776i | 1.31089 | − | 1.19441i | ||||
\(456\) | 12.2268 | − | 8.88326i | 0.572570 | − | 0.415997i | ||||
\(457\) | 4.36139 | − | 3.16873i | 0.204017 | − | 0.148227i | −0.481085 | − | 0.876674i | \(-0.659757\pi\) |
0.685103 | + | 0.728447i | \(0.259757\pi\) | |||||||
\(458\) | 2.71521 | − | 0.882227i | 0.126874 | − | 0.0412238i | ||||
\(459\) | −7.99951 | − | 2.59920i | −0.373385 | − | 0.121320i | ||||
\(460\) | 4.87654 | − | 15.4370i | 0.227370 | − | 0.719754i | ||||
\(461\) | 29.0701 | 1.35393 | 0.676964 | − | 0.736016i | \(-0.263295\pi\) | ||||
0.676964 | + | 0.736016i | \(0.263295\pi\) | |||||||
\(462\) | −13.5141 | − | 14.7350i | −0.628732 | − | 0.685534i | ||||
\(463\) | 19.7018i | 0.915620i | 0.889050 | + | 0.457810i | \(0.151366\pi\) | ||||
−0.889050 | + | 0.457810i | \(0.848634\pi\) | |||||||
\(464\) | −4.04879 | + | 5.57268i | −0.187960 | + | 0.258705i | ||||
\(465\) | −13.6918 | + | 0.112012i | −0.634941 | + | 0.00519444i | ||||
\(466\) | −7.55340 | − | 23.2470i | −0.349905 | − | 1.07690i | ||||
\(467\) | 14.1709 | − | 10.2957i | 0.655750 | − | 0.476430i | −0.209475 | − | 0.977814i | \(-0.567176\pi\) |
0.865225 | + | 0.501384i | \(0.167176\pi\) | |||||||
\(468\) | −8.23681 | − | 11.3370i | −0.380747 | − | 0.524053i | ||||
\(469\) | −0.730687 | + | 0.323326i | −0.0337400 | + | 0.0149298i | ||||
\(470\) | −0.0586345 | − | 7.16718i | −0.00270461 | − | 0.330597i | ||||
\(471\) | 18.8541 | + | 13.6983i | 0.868752 | + | 0.631186i | ||||
\(472\) | − | 10.5441i | − | 0.485329i | ||||||
\(473\) | −11.9633 | − | 3.73622i | −0.550073 | − | 0.171792i | ||||
\(474\) | − | 14.0091i | − | 0.643458i | ||||||
\(475\) | −33.1601 | + | 0.542600i | −1.52149 | + | 0.0248962i | ||||
\(476\) | −11.8115 | − | 2.53882i | −0.541381 | − | 0.116367i | ||||
\(477\) | −13.2338 | + | 4.29992i | −0.605933 | + | 0.196880i | ||||
\(478\) | −9.33382 | − | 12.8469i | −0.426919 | − | 0.587603i | ||||
\(479\) | −8.86604 | + | 6.44155i | −0.405100 | + | 0.294322i | −0.771615 | − | 0.636090i | \(-0.780551\pi\) |
0.366515 | + | 0.930412i | \(0.380551\pi\) | |||||||
\(480\) | −3.02832 | − | 4.09721i | −0.138223 | − | 0.187011i | ||||
\(481\) | 9.46230 | − | 29.1220i | 0.431444 | − | 1.32785i | ||||
\(482\) | 6.29663 | + | 4.57477i | 0.286804 | + | 0.208375i | ||||
\(483\) | −4.46300 | − | 43.4159i | −0.203074 | − | 1.97549i | ||||
\(484\) | −3.15874 | + | 10.5367i | −0.143579 | + | 0.478942i | ||||
\(485\) | −27.3480 | + | 9.13393i | −1.24181 | + | 0.414750i | ||||
\(486\) | −15.3854 | − | 11.1781i | −0.697895 | − | 0.507050i | ||||
\(487\) | −14.9022 | − | 4.84200i | −0.675281 | − | 0.219412i | −0.0487530 | − | 0.998811i | \(-0.515525\pi\) |
−0.626528 | + | 0.779399i | \(0.715525\pi\) | |||||||
\(488\) | −0.227602 | − | 0.700486i | −0.0103031 | − | 0.0317095i | ||||
\(489\) | −8.58800 | − | 11.8204i | −0.388363 | − | 0.534536i | ||||
\(490\) | 6.31471 | − | 14.3222i | 0.285269 | − | 0.647010i | ||||
\(491\) | −33.3372 | + | 10.8319i | −1.50449 | + | 0.488838i | −0.941323 | − | 0.337507i | \(-0.890416\pi\) |
−0.563164 | + | 0.826345i | \(0.690416\pi\) | |||||||
\(492\) | −5.94762 | + | 18.3049i | −0.268139 | + | 0.825248i | ||||
\(493\) | −25.4465 | − | 18.4880i | −1.14605 | − | 0.832657i | ||||
\(494\) | − | 42.4121i | − | 1.90821i | ||||||
\(495\) | 16.2500 | − | 0.319045i | 0.730382 | − | 0.0143400i | ||||
\(496\) | − | 2.68745i | − | 0.120670i | ||||||
\(497\) | 16.4357 | + | 9.53925i | 0.737242 | + | 0.427894i | ||||
\(498\) | −5.23409 | − | 1.70066i | −0.234545 | − | 0.0762083i | ||||
\(499\) | 3.73319 | + | 11.4896i | 0.167121 | + | 0.514345i | 0.999186 | − | 0.0403326i | \(-0.0128417\pi\) |
−0.832066 | + | 0.554677i | \(0.812842\pi\) | |||||||
\(500\) | 0.274364 | + | 11.1770i | 0.0122699 | + | 0.499849i | ||||
\(501\) | 10.9164 | + | 15.0251i | 0.487707 | + | 0.671272i | ||||
\(502\) | 2.52093 | − | 0.819100i | 0.112515 | − | 0.0365582i | ||||
\(503\) | 27.7344 | + | 9.01145i | 1.23662 | + | 0.401801i | 0.853107 | − | 0.521737i | \(-0.174716\pi\) |
0.383509 | + | 0.923537i | \(0.374716\pi\) | |||||||
\(504\) | −5.01488 | − | 2.91063i | −0.223381 | − | 0.129650i | ||||
\(505\) | −18.1256 | + | 6.05373i | −0.806576 | + | 0.269387i | ||||
\(506\) | −19.2633 | + | 14.3355i | −0.856358 | + | 0.637288i | ||||
\(507\) | −63.5375 | −2.82180 | ||||||||
\(508\) | −3.41122 | − | 2.47839i | −0.151348 | − | 0.109961i | ||||
\(509\) | 24.1800 | + | 7.85656i | 1.07176 | + | 0.348236i | 0.791173 | − | 0.611593i | \(-0.209471\pi\) |
0.280587 | + | 0.959829i | \(0.409471\pi\) | |||||||
\(510\) | 18.7091 | − | 13.8282i | 0.828453 | − | 0.612324i | ||||
\(511\) | 4.65678 | + | 5.19569i | 0.206004 | + | 0.229844i | ||||
\(512\) | 0.809017 | − | 0.587785i | 0.0357538 | − | 0.0259767i | ||||
\(513\) | −3.77554 | − | 11.6199i | −0.166694 | − | 0.513032i | ||||
\(514\) | −3.54922 | + | 10.9234i | −0.156550 | + | 0.481810i | ||||
\(515\) | −15.8368 | − | 5.00284i | −0.697854 | − | 0.220451i | ||||
\(516\) | −8.61019 | −0.379043 | ||||||||
\(517\) | −6.14986 | + | 8.67165i | −0.270471 | + | 0.381379i | ||||
\(518\) | −1.29561 | − | 12.6036i | −0.0569257 | − | 0.553772i | ||||
\(519\) | 1.50846 | − | 2.07621i | 0.0662139 | − | 0.0911356i | ||||
\(520\) | −14.2974 | + | 0.116966i | −0.626981 | + | 0.00512931i | ||||
\(521\) | 38.4820 | − | 12.5036i | 1.68593 | − | 0.547791i | 0.699880 | − | 0.714260i | \(-0.253237\pi\) |
0.986047 | + | 0.166469i | \(0.0532366\pi\) | |||||||
\(522\) | −8.87319 | − | 12.2129i | −0.388369 | − | 0.534544i | ||||
\(523\) | 17.0514 | + | 23.4692i | 0.745606 | + | 1.02624i | 0.998276 | + | 0.0586859i | \(0.0186910\pi\) |
−0.252671 | + | 0.967552i | \(0.581309\pi\) | |||||||
\(524\) | 0.630129 | + | 1.93934i | 0.0275273 | + | 0.0847204i | ||||
\(525\) | 12.6462 | + | 27.3605i | 0.551925 | + | 1.19411i | ||||
\(526\) | 3.26726 | + | 2.37380i | 0.142459 | + | 0.103503i | ||||
\(527\) | 12.2717 | 0.534564 | ||||||||
\(528\) | 0.0865271 | + | 7.55644i | 0.00376561 | + | 0.328852i | ||||
\(529\) | −29.4164 | −1.27897 | ||||||||
\(530\) | −4.27662 | + | 13.5379i | −0.185764 | + | 0.588050i | ||||
\(531\) | 21.9770 | + | 7.14077i | 0.953722 | + | 0.309883i | ||||
\(532\) | −7.10121 | − | 16.0481i | −0.307877 | − | 0.695773i | ||||
\(533\) | 31.7479 | + | 43.6973i | 1.37516 | + | 1.89274i | ||||
\(534\) | 2.59274 | + | 3.56861i | 0.112199 | + | 0.154429i | ||||
\(535\) | −26.6420 | − | 36.0457i | −1.15183 | − | 1.55839i | ||||
\(536\) | 0.287222 | + | 0.0933242i | 0.0124061 | + | 0.00403099i | ||||
\(537\) | −20.1507 | − | 14.6403i | −0.869566 | − | 0.631776i | ||||
\(538\) | − | 27.4959i | − | 1.18543i | ||||||
\(539\) | −20.0256 | + | 11.7463i | −0.862563 | + | 0.505950i | ||||
\(540\) | −3.90673 | + | 1.30480i | −0.168119 | + | 0.0561497i | ||||
\(541\) | 6.00712 | − | 8.26809i | 0.258266 | − | 0.355473i | −0.660119 | − | 0.751161i | \(-0.729494\pi\) |
0.918385 | + | 0.395689i | \(0.129494\pi\) | |||||||
\(542\) | 8.99633 | − | 27.6879i | 0.386425 | − | 1.18930i | ||||
\(543\) | 2.54183 | − | 0.825889i | 0.109080 | − | 0.0354423i | ||||
\(544\) | 2.68401 | + | 3.69422i | 0.115076 | + | 0.158388i | ||||
\(545\) | −5.21503 | − | 3.72414i | −0.223388 | − | 0.159525i | ||||
\(546\) | −35.2496 | + | 15.5978i | −1.50854 | + | 0.667524i | ||||
\(547\) | 8.17875 | − | 25.1716i | 0.349698 | − | 1.07626i | −0.609322 | − | 0.792923i | \(-0.708558\pi\) |
0.959020 | − | 0.283337i | \(-0.0914415\pi\) | |||||||
\(548\) | 10.3181 | − | 14.2016i | 0.440767 | − | 0.606663i | ||||
\(549\) | 1.61417 | 0.0688910 | ||||||||
\(550\) | 9.37047 | − | 13.6819i | 0.399558 | − | 0.583398i | ||||
\(551\) | − | 45.6889i | − | 1.94641i | ||||||
\(552\) | −9.69620 | + | 13.3457i | −0.412698 | + | 0.568029i | ||||
\(553\) | −15.9038 | − | 3.41843i | −0.676300 | − | 0.145367i | ||||
\(554\) | 5.54960 | + | 17.0799i | 0.235780 | + | 0.725656i | ||||
\(555\) | 19.8555 | + | 14.1791i | 0.842818 | + | 0.601871i | ||||
\(556\) | −6.77136 | + | 4.91968i | −0.287169 | + | 0.208641i | ||||
\(557\) | −8.67129 | − | 26.6875i | −0.367415 | − | 1.13079i | −0.948455 | − | 0.316911i | \(-0.897354\pi\) |
0.581041 | − | 0.813874i | \(-0.302646\pi\) | |||||||
\(558\) | 5.60147 | + | 1.82003i | 0.237129 | + | 0.0770479i | ||||
\(559\) | −14.2026 | + | 19.5482i | −0.600706 | + | 0.826801i | ||||
\(560\) | −5.39032 | + | 2.43812i | −0.227783 | + | 0.103029i | ||||
\(561\) | −34.5050 | + | 0.395109i | −1.45680 | + | 0.0166815i | ||||
\(562\) | 17.3682i | 0.732634i | ||||||||
\(563\) | 1.96487 | − | 2.70441i | 0.0828094 | − | 0.113977i | −0.765603 | − | 0.643314i | \(-0.777559\pi\) |
0.848412 | + | 0.529336i | \(0.177559\pi\) | |||||||
\(564\) | −2.25689 | + | 6.94598i | −0.0950320 | + | 0.292479i | ||||
\(565\) | −3.33954 | + | 2.46831i | −0.140495 | + | 0.103842i | ||||
\(566\) | −9.09503 | − | 12.5182i | −0.382292 | − | 0.526180i | ||||
\(567\) | −21.2226 | + | 19.0214i | −0.891266 | + | 0.798822i | ||||
\(568\) | −2.21955 | − | 6.83107i | −0.0931302 | − | 0.286625i | ||||
\(569\) | −11.8716 | − | 3.85732i | −0.497684 | − | 0.161707i | 0.0494099 | − | 0.998779i | \(-0.484266\pi\) |
−0.547094 | + | 0.837071i | \(0.684266\pi\) | |||||||
\(570\) | 32.2243 | + | 10.1796i | 1.34973 | + | 0.426377i | ||||
\(571\) | − | 11.9780i | − | 0.501263i | −0.968083 | − | 0.250631i | \(-0.919362\pi\) | ||
0.968083 | − | 0.250631i | \(-0.0806382\pi\) | |||||||
\(572\) | 17.2985 | + | 12.2680i | 0.723288 | + | 0.512950i | ||||
\(573\) | 22.2561 | 0.929762 | ||||||||
\(574\) | 19.3293 | + | 11.2187i | 0.806791 | + | 0.468260i | ||||
\(575\) | 34.2402 | − | 11.7481i | 1.42792 | − | 0.489928i | ||||
\(576\) | 0.677232 | + | 2.08431i | 0.0282180 | + | 0.0868461i | ||||
\(577\) | −16.6321 | + | 12.0840i | −0.692405 | + | 0.503062i | −0.877450 | − | 0.479668i | \(-0.840757\pi\) |
0.185045 | + | 0.982730i | \(0.440757\pi\) | |||||||
\(578\) | −3.11562 | + | 2.26363i | −0.129593 | + | 0.0941547i | ||||
\(579\) | 9.60416 | + | 29.5586i | 0.399135 | + | 1.22841i | ||||
\(580\) | −15.4020 | + | 0.126003i | −0.639533 | + | 0.00523200i | ||||
\(581\) | −3.20788 | + | 5.52702i | −0.133085 | + | 0.229299i | ||||
\(582\) | 29.3802 | 1.21785 | ||||||||
\(583\) | 16.8935 | − | 12.5719i | 0.699657 | − | 0.520674i | ||||
\(584\) | − | 2.63712i | − | 0.109125i | ||||||
\(585\) | 9.43884 | − | 29.8793i | 0.390248 | − | 1.23536i | ||||
\(586\) | −15.2809 | − | 4.96506i | −0.631248 | − | 0.205105i | ||||
\(587\) | 6.67513 | + | 20.5439i | 0.275512 | + | 0.847939i | 0.989083 | + | 0.147357i | \(0.0470765\pi\) |
−0.713571 | + | 0.700583i | \(0.752923\pi\) | |||||||
\(588\) | −10.7263 | + | 11.8039i | −0.442346 | + | 0.486786i | ||||
\(589\) | 10.4776 | + | 14.4212i | 0.431723 | + | 0.594216i | ||||
\(590\) | 18.9604 | − | 14.0139i | 0.780586 | − | 0.576944i | ||||
\(591\) | 16.4155 | − | 50.5216i | 0.675242 | − | 2.07818i | ||||
\(592\) | −2.81480 | + | 3.87424i | −0.115688 | + | 0.159230i | ||||
\(593\) | − | 40.0620i | − | 1.64515i | −0.568658 | − | 0.822574i | \(-0.692537\pi\) | ||
0.568658 | − | 0.822574i | \(-0.307463\pi\) | |||||||
\(594\) | 5.83149 | + | 1.82121i | 0.239269 | + | 0.0747253i | ||||
\(595\) | −11.1332 | − | 24.6138i | −0.456416 | − | 1.00907i | ||||
\(596\) | 4.63134 | − | 6.37450i | 0.189707 | − | 0.261110i | ||||
\(597\) | −17.0410 | − | 5.53696i | −0.697442 | − | 0.226613i | ||||
\(598\) | 14.3054 | + | 44.0276i | 0.584993 | + | 1.80042i | ||||
\(599\) | −3.18118 | + | 2.31126i | −0.129979 | + | 0.0944356i | −0.650875 | − | 0.759185i | \(-0.725598\pi\) |
0.520896 | + | 0.853620i | \(0.325598\pi\) | |||||||
\(600\) | 3.34274 | − | 10.8911i | 0.136467 | − | 0.444626i | ||||
\(601\) | −3.87998 | − | 11.9414i | −0.158268 | − | 0.487098i | 0.840209 | − | 0.542262i | \(-0.182432\pi\) |
−0.998477 | + | 0.0551636i | \(0.982432\pi\) | |||||||
\(602\) | −2.10102 | + | 9.77474i | −0.0856312 | + | 0.398389i | ||||
\(603\) | −0.389033 | + | 0.535457i | −0.0158426 | + | 0.0218055i | ||||
\(604\) | 18.4153i | 0.749309i | ||||||||
\(605\) | −23.1454 | + | 8.32411i | −0.940994 | + | 0.338423i | ||||
\(606\) | 19.4724 | 0.791013 | ||||||||
\(607\) | 18.6551 | − | 25.6766i | 0.757188 | − | 1.04218i | −0.240255 | − | 0.970710i | \(-0.577231\pi\) |
0.997443 | − | 0.0714695i | \(-0.0227689\pi\) | |||||||
\(608\) | −2.04968 | + | 6.30827i | −0.0831256 | + | 0.255834i | ||||
\(609\) | −37.9730 | + | 16.8029i | −1.53874 | + | 0.680887i | ||||
\(610\) | 0.957116 | − | 1.34028i | 0.0387525 | − | 0.0542663i | ||||
\(611\) | 12.0471 | + | 16.5814i | 0.487373 | + | 0.670811i | ||||
\(612\) | −9.51757 | + | 3.09245i | −0.384725 | + | 0.125005i | ||||
\(613\) | −7.71017 | + | 23.7295i | −0.311411 | + | 0.958424i | 0.665796 | + | 0.746134i | \(0.268092\pi\) |
−0.977207 | + | 0.212290i | \(0.931908\pi\) | |||||||
\(614\) | 3.17866 | − | 4.37505i | 0.128280 | − | 0.176562i | ||||
\(615\) | −40.8208 | + | 13.6337i | −1.64605 | + | 0.549763i | ||||
\(616\) | 8.59957 | + | 1.74566i | 0.346487 | + | 0.0703346i | ||||
\(617\) | 26.9376i | 1.08447i | 0.840228 | + | 0.542234i | \(0.182421\pi\) | ||||
−0.840228 | + | 0.542234i | \(0.817579\pi\) | |||||||
\(618\) | 13.6913 | + | 9.94733i | 0.550746 | + | 0.400140i | ||||
\(619\) | −4.09557 | − | 1.33073i | −0.164615 | − | 0.0534866i | 0.225550 | − | 0.974232i | \(-0.427582\pi\) |
−0.390165 | + | 0.920745i | \(0.627582\pi\) | |||||||
\(620\) | 4.83258 | − | 3.57184i | 0.194081 | − | 0.143449i | ||||
\(621\) | 7.83871 | + | 10.7891i | 0.314556 | + | 0.432950i | ||||
\(622\) | 13.5739 | + | 18.6829i | 0.544263 | + | 0.749114i | ||||
\(623\) | 4.68393 | − | 2.07262i | 0.187658 | − | 0.0830378i | ||||
\(624\) | 13.8561 | + | 4.50212i | 0.554688 | + | 0.180229i | ||||
\(625\) | −19.7338 | + | 15.3485i | −0.789353 | + | 0.613939i | ||||
\(626\) | −6.21289 | −0.248317 | ||||||||
\(627\) | −29.9248 | − | 40.2115i | −1.19508 | − | 1.60589i | ||||
\(628\) | −10.2282 | −0.408150 | ||||||||
\(629\) | −17.6910 | − | 12.8532i | −0.705385 | − | 0.512492i | ||||
\(630\) | −1.43129 | − | 12.8863i | −0.0570238 | − | 0.513401i | ||||
\(631\) | −8.72876 | − | 26.8644i | −0.347486 | − | 1.06945i | −0.960239 | − | 0.279179i | \(-0.909938\pi\) |
0.612753 | − | 0.790275i | \(-0.290062\pi\) | |||||||
\(632\) | 3.61392 | + | 4.97414i | 0.143754 | + | 0.197861i | ||||
\(633\) | 8.62209 | + | 11.8673i | 0.342697 | + | 0.471682i | ||||
\(634\) | 22.2188 | − | 7.21931i | 0.882420 | − | 0.286716i | ||||
\(635\) | −0.0771306 | − | 9.42806i | −0.00306084 | − | 0.374141i | ||||
\(636\) | 8.50336 | − | 11.7039i | 0.337180 | − | 0.464089i | ||||
\(637\) | 9.10597 | + | 43.8233i | 0.360792 | + | 1.73634i | ||||
\(638\) | 18.6350 | + | 13.2158i | 0.737768 | + | 0.523219i | ||||
\(639\) | 15.7412 | 0.622712 | ||||||||
\(640\) | 2.13221 | + | 0.673563i | 0.0842829 | + | 0.0266249i | ||||
\(641\) | −0.152861 | + | 0.470457i | −0.00603764 | + | 0.0185819i | −0.954030 | − | 0.299711i | \(-0.903110\pi\) |
0.947992 | + | 0.318293i | \(0.103110\pi\) | |||||||
\(642\) | 14.1139 | + | 43.4380i | 0.557030 | + | 1.71436i | ||||
\(643\) | −15.1592 | + | 11.0138i | −0.597819 | + | 0.434341i | −0.845104 | − | 0.534602i | \(-0.820462\pi\) |
0.247285 | + | 0.968943i | \(0.420462\pi\) | |||||||
\(644\) | 12.7847 | + | 14.2642i | 0.503787 | + | 0.562087i | ||||
\(645\) | −11.4437 | − | 15.4829i | −0.450594 | − | 0.609638i | ||||
\(646\) | −28.8055 | − | 9.35947i | −1.13334 | − | 0.368243i | ||||
\(647\) | 13.4449 | + | 9.76830i | 0.528574 | + | 0.384031i | 0.819824 | − | 0.572615i | \(-0.194071\pi\) |
−0.291250 | + | 0.956647i | \(0.594071\pi\) | |||||||
\(648\) | 10.7717 | 0.423154 | ||||||||
\(649\) | −34.9684 | + | 0.400415i | −1.37263 | + | 0.0157177i | ||||
\(650\) | −19.2127 | − | 25.5541i | −0.753584 | − | 1.00232i | ||||
\(651\) | 8.13245 | − | 14.0118i | 0.318736 | − | 0.549167i | ||||
\(652\) | 6.09860 | + | 1.98156i | 0.238840 | + | 0.0776038i | ||||
\(653\) | 30.6013 | − | 9.94296i | 1.19752 | − | 0.389098i | 0.358673 | − | 0.933463i | \(-0.383229\pi\) |
0.838848 | + | 0.544365i | \(0.183229\pi\) | |||||||
\(654\) | 3.83816 | + | 5.28278i | 0.150084 | + | 0.206573i | ||||
\(655\) | −2.64983 | + | 3.71064i | −0.103538 | + | 0.144987i | ||||
\(656\) | −2.61032 | − | 8.03374i | −0.101916 | − | 0.313665i | ||||
\(657\) | 5.49656 | + | 1.78594i | 0.214441 | + | 0.0696762i | ||||
\(658\) | 7.33472 | + | 4.25706i | 0.285937 | + | 0.165958i | ||||
\(659\) | − | 41.7916i | − | 1.62797i | −0.580886 | − | 0.813985i | \(-0.697294\pi\) | ||
0.580886 | − | 0.813985i | \(-0.302706\pi\) | |||||||
\(660\) | −13.4730 | + | 10.1987i | −0.524437 | + | 0.396985i | ||||
\(661\) | 47.6106i | 1.85184i | 0.377722 | + | 0.925919i | \(0.376708\pi\) | ||||
−0.377722 | + | 0.925919i | \(0.623292\pi\) | |||||||
\(662\) | 2.03457 | + | 1.47820i | 0.0790759 | + | 0.0574520i | ||||
\(663\) | −20.5580 | + | 63.2712i | −0.798408 | + | 2.45725i | ||||
\(664\) | 2.29716 | − | 0.746394i | 0.0891472 | − | 0.0289657i | ||||
\(665\) | 19.4197 | − | 34.0987i | 0.753062 | − | 1.32229i | ||||
\(666\) | −6.16883 | − | 8.49067i | −0.239037 | − | 0.329007i | ||||
\(667\) | 15.4107 | + | 47.4292i | 0.596704 | + | 1.83647i | ||||
\(668\) | −7.75205 | − | 2.51879i | −0.299936 | − | 0.0974551i | ||||
\(669\) | 52.0019 | + | 37.7816i | 2.01051 | + | 1.46072i | ||||
\(670\) | 0.213926 | + | 0.640520i | 0.00826470 | + | 0.0247455i | ||||
\(671\) | −2.31446 | + | 0.781422i | −0.0893485 | + | 0.0301665i | ||||
\(672\) | 5.99675 | − | 0.616444i | 0.231330 | − | 0.0237798i | ||||
\(673\) | −34.1266 | − | 24.7944i | −1.31548 | − | 0.955755i | −0.999977 | − | 0.00683185i | \(-0.997825\pi\) |
−0.315507 | − | 0.948923i | \(-0.602175\pi\) | |||||||
\(674\) | −1.41170 | + | 4.34476i | −0.0543765 | + | 0.167354i | ||||
\(675\) | −7.53867 | − | 5.29091i | −0.290163 | − | 0.203647i | ||||
\(676\) | 22.5600 | − | 16.3908i | 0.867691 | − | 0.630414i | ||||
\(677\) | −12.3620 | − | 17.0148i | −0.475108 | − | 0.653931i | 0.502447 | − | 0.864608i | \(-0.332433\pi\) |
−0.977556 | + | 0.210677i | \(0.932433\pi\) | |||||||
\(678\) | 4.02441 | − | 1.30761i | 0.154557 | − | 0.0502185i | ||||
\(679\) | 7.16923 | − | 33.3539i | 0.275130 | − | 1.28001i | ||||
\(680\) | −3.07569 | + | 9.73631i | −0.117947 | + | 0.373370i | ||||
\(681\) | − | 5.41825i | − | 0.207628i | ||||||
\(682\) | −8.91268 | + | 0.102057i | −0.341284 | + | 0.00390797i | ||||
\(683\) | − | 40.1634i | − | 1.53681i | −0.639963 | − | 0.768406i | \(-0.721050\pi\) | ||
0.639963 | − | 0.768406i | \(-0.278950\pi\) | |||||||
\(684\) | −11.7603 | − | 8.54433i | −0.449665 | − | 0.326701i | ||||
\(685\) | 39.2510 | − | 0.321111i | 1.49970 | − | 0.0122690i | ||||
\(686\) | 10.7831 | + | 15.0574i | 0.411699 | + | 0.574895i | ||||
\(687\) | −3.82354 | − | 5.26265i | −0.145877 | − | 0.200783i | ||||
\(688\) | 3.05718 | − | 2.22117i | 0.116554 | − | 0.0846814i | ||||
\(689\) | −12.5456 | − | 38.6113i | −0.477948 | − | 1.47097i | ||||
\(690\) | −36.8853 | + | 0.301757i | −1.40420 | + | 0.0114877i | ||||
\(691\) | −17.2066 | + | 23.6829i | −0.654570 | + | 0.900939i | −0.999287 | − | 0.0377683i | \(-0.987975\pi\) |
0.344716 | + | 0.938707i | \(0.387975\pi\) | |||||||
\(692\) | 1.12633i | 0.0428166i | ||||||||
\(693\) | −9.46239 | + | 16.7419i | −0.359447 | + | 0.635973i | ||||
\(694\) | −23.2742 | −0.883475 | ||||||||
\(695\) | −17.8463 | − | 5.63762i | −0.676948 | − | 0.213847i | ||||
\(696\) | 14.9266 | + | 4.84996i | 0.565793 | + | 0.183837i | ||||
\(697\) | 36.6845 | − | 11.9195i | 1.38952 | − | 0.451484i | ||||
\(698\) | −1.28780 | + | 0.935638i | −0.0487438 | + | 0.0354144i | ||||
\(699\) | −45.0575 | + | 32.7362i | −1.70423 | + | 1.23820i | ||||
\(700\) | −11.5484 | − | 6.45244i | −0.436489 | − | 0.243879i | ||||
\(701\) | 20.1704 | + | 6.55375i | 0.761824 | + | 0.247532i | 0.664061 | − | 0.747678i | \(-0.268831\pi\) |
0.0977627 | + | 0.995210i | \(0.468831\pi\) | |||||||
\(702\) | 6.92303 | − | 9.52874i | 0.261293 | − | 0.359639i | ||||
\(703\) | − | 31.7639i | − | 1.19800i | ||||||
\(704\) | −1.98006 | − | 2.66071i | −0.0746262 | − | 0.100279i | ||||
\(705\) | −15.4899 | + | 5.17344i | −0.583383 | + | 0.194843i | ||||
\(706\) | −15.1585 | − | 11.0133i | −0.570496 | − | 0.414490i | ||||
\(707\) | 4.75157 | − | 22.1061i | 0.178701 | − | 0.831385i | ||||
\(708\) | −22.8488 | + | 7.42402i | −0.858710 | + | 0.279012i | ||||
\(709\) | −26.1540 | + | 19.0020i | −0.982235 | + | 0.713636i | −0.958207 | − | 0.286076i | \(-0.907649\pi\) |
−0.0240280 | + | 0.999711i | \(0.507649\pi\) | |||||||
\(710\) | 9.33370 | − | 13.0703i | 0.350287 | − | 0.490518i | ||||
\(711\) | −12.8151 | + | 4.16388i | −0.480603 | + | 0.156158i | ||||
\(712\) | −1.84119 | − | 0.598238i | −0.0690014 | − | 0.0224199i | ||||
\(713\) | −15.7410 | − | 11.4365i | −0.589504 | − | 0.428300i | ||||
\(714\) | 2.81487 | + | 27.3830i | 0.105344 | + | 1.02478i | ||||
\(715\) | 0.930857 | + | 47.4114i | 0.0348121 | + | 1.77309i | ||||
\(716\) | 10.9316 | 0.408532 | ||||||||
\(717\) | −21.2671 | + | 29.2717i | −0.794235 | + | 1.09317i | ||||
\(718\) | 20.0708 | + | 6.52140i | 0.749036 | + | 0.243376i | ||||
\(719\) | −7.13958 | + | 2.31979i | −0.266261 | + | 0.0865135i | −0.439105 | − | 0.898436i | \(-0.644704\pi\) |
0.172844 | + | 0.984949i | \(0.444704\pi\) | |||||||
\(720\) | −2.84791 | + | 3.98802i | −0.106135 | + | 0.148625i | ||||
\(721\) | 14.6336 | − | 13.1158i | 0.544984 | − | 0.488458i | ||||
\(722\) | −7.72404 | − | 23.7721i | −0.287459 | − | 0.884707i | ||||
\(723\) | 5.48002 | − | 16.8658i | 0.203804 | − | 0.627245i | ||||
\(724\) | −0.689460 | + | 0.948960i | −0.0256236 | + | 0.0352678i | ||||
\(725\) | −20.6971 | − | 27.5284i | −0.768671 | − | 1.02238i | ||||
\(726\) | 25.0569 | − | 0.573919i | 0.929950 | − | 0.0213001i | ||||
\(727\) | 14.6519 | 0.543410 | 0.271705 | − | 0.962381i | \(-0.412413\pi\) | ||||
0.271705 | + | 0.962381i | \(0.412413\pi\) | |||||||
\(728\) | 8.49214 | − | 14.6316i | 0.314740 | − | 0.542282i | ||||
\(729\) | −3.40411 | + | 10.4768i | −0.126078 | + | 0.388028i | ||||
\(730\) | 4.74208 | − | 3.50495i | 0.175512 | − | 0.129724i | ||||
\(731\) | 10.1425 | + | 13.9600i | 0.375136 | + | 0.516330i | ||||
\(732\) | −1.35769 | + | 0.986419i | −0.0501816 | + | 0.0364591i | ||||
\(733\) | 23.1829 | − | 7.53258i | 0.856280 | − | 0.278222i | 0.152206 | − | 0.988349i | \(-0.451362\pi\) |
0.704074 | + | 0.710127i | \(0.251362\pi\) | |||||||
\(734\) | −0.145119 | + | 0.446629i | −0.00535643 | + | 0.0164854i | ||||
\(735\) | −35.4821 | − | 3.59970i | −1.30878 | − | 0.132777i | ||||
\(736\) | − | 7.23991i | − | 0.266867i | ||||||
\(737\) | 0.298594 | − | 0.956091i | 0.0109988 | − | 0.0352181i | ||||
\(738\) | 18.5126 | 0.681457 | ||||||||
\(739\) | −26.4959 | + | 36.4684i | −0.974666 | + | 1.34151i | −0.0350116 | + | 0.999387i | \(0.511147\pi\) |
−0.939654 | + | 0.342126i | \(0.888853\pi\) | |||||||
\(740\) | −10.7078 | + | 0.0876000i | −0.393626 | + | 0.00322024i | ||||
\(741\) | −91.9063 | + | 29.8622i | −3.37626 | + | 1.09701i | ||||
\(742\) | −11.2119 | − | 12.5094i | −0.411601 | − | 0.459234i | ||||
\(743\) | −24.0246 | + | 17.4549i | −0.881376 | + | 0.640357i | −0.933615 | − | 0.358278i | \(-0.883364\pi\) |
0.0522395 | + | 0.998635i | \(0.483364\pi\) | |||||||
\(744\) | −5.82366 | + | 1.89222i | −0.213506 | + | 0.0693722i | ||||
\(745\) | 17.6181 | − | 0.144133i | 0.645477 | − | 0.00528063i | ||||
\(746\) | 27.2653 | + | 19.8094i | 0.998252 | + | 0.725272i | ||||
\(747\) | 5.29347i | 0.193678i | ||||||||
\(748\) | 12.1496 | − | 9.04154i | 0.444233 | − | 0.330592i | ||||
\(749\) | 52.7571 | − | 5.42324i | 1.92770 | − | 0.198161i | ||||
\(750\) | 24.0271 | − | 8.46420i | 0.877347 | − | 0.309069i | ||||
\(751\) | 14.8696 | − | 45.7639i | 0.542600 | − | 1.66995i | −0.184030 | − | 0.982921i | \(-0.558914\pi\) |
0.726630 | − | 0.687029i | \(-0.241086\pi\) | |||||||
\(752\) | −0.990513 | − | 3.04849i | −0.0361203 | − | 0.111167i | ||||
\(753\) | −3.54995 | − | 4.88609i | −0.129368 | − | 0.178059i | ||||
\(754\) | 35.6327 | − | 25.8887i | 1.29767 | − | 0.942811i | ||||
\(755\) | −33.1145 | + | 24.4755i | −1.20516 | + | 0.890755i | ||||
\(756\) | 1.02414 | − | 4.76468i | 0.0372476 | − | 0.173290i | ||||
\(757\) | 26.6175 | − | 36.6358i | 0.967428 | − | 1.33155i | 0.0240924 | − | 0.999710i | \(-0.492330\pi\) |
0.943336 | − | 0.331840i | \(-0.107670\pi\) | |||||||
\(758\) | 5.34678 | 0.194204 | ||||||||
\(759\) | 44.6279 | + | 31.6497i | 1.61989 | + | 1.14881i | ||||
\(760\) | −14.0678 | + | 4.69847i | −0.510291 | + | 0.170431i | ||||
\(761\) | 1.92920 | + | 1.40165i | 0.0699336 | + | 0.0508097i | 0.622203 | − | 0.782856i | \(-0.286238\pi\) |
−0.552269 | + | 0.833666i | \(0.686238\pi\) | |||||||
\(762\) | −2.96882 | + | 9.13708i | −0.107549 | + | 0.331001i | ||||
\(763\) | 6.93385 | − | 3.06820i | 0.251022 | − | 0.111076i | ||||
\(764\) | −7.90237 | + | 5.74141i | −0.285898 | + | 0.207717i | ||||
\(765\) | −18.2105 | − | 13.0044i | −0.658402 | − | 0.470176i | ||||
\(766\) | −7.58237 | − | 23.3361i | −0.273962 | − | 0.843169i | ||||
\(767\) | −20.8341 | + | 64.1209i | −0.752277 | + | 2.31527i | ||||
\(768\) | −1.84335 | − | 1.33927i | −0.0665160 | − | 0.0483267i | ||||
\(769\) | 2.99554 | 0.108022 | 0.0540110 | − | 0.998540i | \(-0.482799\pi\) | ||||
0.0540110 | + | 0.998540i | \(0.482799\pi\) | |||||||
\(770\) | 8.29050 | + | 17.7839i | 0.298769 | + | 0.640888i | ||||
\(771\) | 26.1698 | 0.942482 | ||||||||
\(772\) | −11.0353 | − | 8.01764i | −0.397170 | − | 0.288561i | ||||
\(773\) | −13.4895 | + | 41.5166i | −0.485185 | + | 1.49325i | 0.346527 | + | 0.938040i | \(0.387361\pi\) |
−0.831712 | + | 0.555207i | \(0.812639\pi\) | |||||||
\(774\) | 2.55918 | + | 7.87635i | 0.0919879 | + | 0.283110i | ||||
\(775\) | 12.8458 | + | 3.94270i | 0.461435 | + | 0.141626i | ||||
\(776\) | −10.4319 | + | 7.57921i | −0.374483 | + | 0.272078i | ||||
\(777\) | −26.3996 | + | 11.6817i | −0.947081 | + | 0.419079i | ||||
\(778\) | −9.12749 | + | 28.0915i | −0.327236 | + | 1.00713i | ||||
\(779\) | 45.3287 | + | 32.9332i | 1.62407 | + | 1.17995i | ||||
\(780\) | 10.3202 | + | 30.8998i | 0.369522 | + | 1.10639i | ||||
\(781\) | −22.5703 | + | 7.62034i | −0.807630 | + | 0.272677i | ||||
\(782\) | 33.0596 | 1.18221 | ||||||||
\(783\) | 7.45791 | − | 10.2649i | 0.266524 | − | 0.366839i | ||||
\(784\) | 0.763480 | − | 6.95824i | 0.0272672 | − | 0.248509i | ||||
\(785\) | −13.5941 | − | 18.3924i | −0.485195 | − | 0.656453i | ||||
\(786\) | 3.75884 | − | 2.73096i | 0.134073 | − | 0.0974101i | ||||
\(787\) | 9.42575 | + | 12.9734i | 0.335992 | + | 0.462453i | 0.943265 | − | 0.332040i | \(-0.107737\pi\) |
−0.607274 | + | 0.794493i | \(0.707737\pi\) | |||||||
\(788\) | 7.20450 | + | 22.1732i | 0.256650 | + | 0.789886i | ||||
\(789\) | 2.84353 | − | 8.75148i | 0.101232 | − | 0.311561i | ||||
\(790\) | −4.14131 | + | 13.1096i | −0.147341 | + | 0.466419i | ||||
\(791\) | −0.502448 | − | 4.88780i | −0.0178650 | − | 0.173790i | ||||
\(792\) | 6.88669 | − | 2.32513i | 0.244708 | − | 0.0826199i | ||||
\(793\) | 4.70954i | 0.167241i | ||||||||
\(794\) | −15.5663 | − | 11.3096i | −0.552427 | − | 0.401362i | ||||
\(795\) | 32.3476 | − | 0.264635i | 1.14725 | − | 0.00938563i | ||||
\(796\) | 7.47904 | − | 2.43009i | 0.265088 | − | 0.0861322i | ||||
\(797\) | −8.61791 | + | 6.26128i | −0.305262 | + | 0.221786i | −0.729861 | − | 0.683596i | \(-0.760415\pi\) |
0.424599 | + | 0.905382i | \(0.360415\pi\) | |||||||
\(798\) | −29.7760 | + | 26.6876i | −1.05406 | + | 0.944731i | ||||
\(799\) | 13.9203 | − | 4.52298i | 0.492465 | − | 0.160012i | ||||
\(800\) | 1.62268 | + | 4.72937i | 0.0573704 | + | 0.167208i | ||||
\(801\) | 2.49382 | − | 3.43245i | 0.0881148 | − | 0.121280i | ||||
\(802\) | 14.9653 | 0.528444 | ||||||||
\(803\) | −8.74576 | + | 0.100146i | −0.308631 | + | 0.00353407i | ||||
\(804\) | − | 0.688116i | − | 0.0242680i | ||||||
\(805\) | −8.65801 | + | 41.9477i | −0.305155 | + | 1.47846i | ||||
\(806\) | −5.31017 | + | 16.3430i | −0.187043 | + | 0.575658i | ||||
\(807\) | −59.5832 | + | 19.3597i | −2.09743 | + | 0.681495i | ||||
\(808\) | −6.91398 | + | 5.02330i | −0.243233 | + | 0.176719i | ||||
\(809\) | 8.56738 | + | 11.7920i | 0.301213 | + | 0.414584i | 0.932616 | − | 0.360871i | \(-0.117521\pi\) |
−0.631403 | + | 0.775455i | \(0.717521\pi\) | |||||||
\(810\) | 14.3165 | + | 19.3698i | 0.503031 | + | 0.680585i | ||||
\(811\) | −17.4483 | + | 53.7002i | −0.612691 | + | 1.88567i | −0.181561 | + | 0.983380i | \(0.558115\pi\) |
−0.431130 | + | 0.902290i | \(0.641885\pi\) | |||||||
\(812\) | 9.14825 | − | 15.7620i | 0.321041 | − | 0.553138i | ||||
\(813\) | −66.3334 | −2.32641 | ||||||||
\(814\) | 12.9555 | + | 9.18790i | 0.454089 | + | 0.322036i | ||||
\(815\) | 4.54231 | + | 13.6002i | 0.159110 | + | 0.476394i | ||||
\(816\) | 6.11551 | − | 8.41728i | 0.214086 | − | 0.294664i | ||||
\(817\) | −7.74551 | + | 23.8382i | −0.270981 | + | 0.833994i | ||||
\(818\) | −4.70545 | − | 14.4819i | −0.164522 | − | 0.506347i | ||||
\(819\) | 24.7455 | + | 27.6092i | 0.864679 | + | 0.964743i | ||||
\(820\) | 10.9770 | − | 15.3714i | 0.383332 | − | 0.536792i | ||||
\(821\) | −37.2590 | + | 12.1062i | −1.30035 | + | 0.422509i | −0.875702 | − | 0.482851i | \(-0.839601\pi\) |
−0.424645 | + | 0.905360i | \(0.639601\pi\) | |||||||
\(822\) | −38.0396 | − | 12.3598i | −1.32678 | − | 0.431098i | ||||
\(823\) | −22.1075 | + | 30.4283i | −0.770618 | + | 1.06067i | 0.225638 | + | 0.974211i | \(0.427553\pi\) |
−0.996256 | + | 0.0864538i | \(0.972447\pi\) | |||||||
\(824\) | −7.42743 | −0.258747 | ||||||||
\(825\) | −36.2462 | − | 10.6723i | −1.26193 | − | 0.371561i | ||||
\(826\) | 2.85267 | + | 27.7507i | 0.0992572 | + | 0.965571i | ||||
\(827\) | −35.2387 | − | 25.6024i | −1.22537 | − | 0.890283i | −0.228835 | − | 0.973465i | \(-0.573492\pi\) |
−0.996534 | + | 0.0831824i | \(0.973492\pi\) | |||||||
\(828\) | 15.0902 | + | 4.90310i | 0.524421 | + | 0.170395i | ||||
\(829\) | −6.92935 | + | 2.25148i | −0.240666 | + | 0.0781972i | −0.426867 | − | 0.904315i | \(-0.640383\pi\) |
0.186200 | + | 0.982512i | \(0.440383\pi\) | |||||||
\(830\) | 4.39529 | + | 3.13875i | 0.152563 | + | 0.108948i | ||||
\(831\) | 33.1045 | − | 24.0518i | 1.14838 | − | 0.834348i | ||||
\(832\) | −6.08123 | + | 1.97591i | −0.210829 | + | 0.0685025i | ||||
\(833\) | 31.7734 | + | 3.48628i | 1.10088 | + | 0.120793i | ||||
\(834\) | 15.4285 | + | 11.2095i | 0.534247 | + | 0.388153i | ||||
\(835\) | −5.77381 | − | 17.2875i | −0.199811 | − | 0.598257i | ||||
\(836\) | 20.9986 | + | 6.55802i | 0.726253 | + | 0.226814i | ||||
\(837\) | 4.95031i | 0.171108i | ||||||||
\(838\) | 0.262233 | − | 0.360933i | 0.00905868 | − | 0.0124682i | ||||
\(839\) | −0.342197 | − | 0.111187i | −0.0118140 | − | 0.00383859i | 0.303104 | − | 0.952957i | \(-0.401977\pi\) |
−0.314918 | + | 0.949119i | \(0.601977\pi\) | |||||||
\(840\) | 9.07867 | + | 9.96407i | 0.313244 | + | 0.343793i | ||||
\(841\) | 14.9243 | − | 10.8431i | 0.514630 | − | 0.373900i | ||||
\(842\) | −1.97368 | + | 1.43396i | −0.0680174 | + | 0.0494175i | ||||
\(843\) | 37.6366 | − | 12.2289i | 1.29627 | − | 0.421185i | ||||
\(844\) | −6.12281 | − | 1.98942i | −0.210756 | − | 0.0684787i | ||||
\(845\) | 59.4580 | + | 18.7827i | 2.04542 | + | 0.646146i | ||||
\(846\) | 7.02479 | 0.241517 | ||||||||
\(847\) | 5.46274 | − | 28.5860i | 0.187702 | − | 0.982226i | ||||
\(848\) | 6.34925i | 0.218034i | ||||||||
\(849\) | −20.7230 | + | 28.5228i | −0.711213 | + | 0.978900i | ||||
\(850\) | −21.5957 | + | 7.40964i | −0.740727 | + | 0.254149i | ||||
\(851\) | 10.7138 | + | 32.9738i | 0.367265 | + | 1.13033i | ||||
\(852\) | −13.2400 | + | 9.61946i | −0.453596 | + | 0.329557i | ||||
\(853\) | −12.4264 | − | 17.1034i | −0.425470 | − | 0.585609i | 0.541436 | − | 0.840742i | \(-0.317881\pi\) |
−0.966906 | + | 0.255133i | \(0.917881\pi\) | |||||||
\(854\) | 0.788536 | + | 1.78202i | 0.0269832 | + | 0.0609795i | ||||
\(855\) | −0.265910 | − | 32.5035i | −0.00909393 | − | 1.11160i | ||||
\(856\) | −16.2171 | − | 11.7824i | −0.554288 | − | 0.402714i | ||||
\(857\) | 36.4654i | 1.24563i | 0.782368 | + | 0.622817i | \(0.214012\pi\) | ||||
−0.782368 | + | 0.622817i | \(0.785988\pi\) | |||||||
\(858\) | 14.4047 | − | 46.1235i | 0.491767 | − | 1.57463i | ||||
\(859\) | − | 6.44307i | − | 0.219835i | −0.993941 | − | 0.109917i | \(-0.964941\pi\) | ||
0.993941 | − | 0.109917i | \(-0.0350586\pi\) | |||||||
\(860\) | 8.05737 | + | 2.54532i | 0.274754 | + | 0.0867945i | ||||
\(861\) | 10.7011 | − | 49.7854i | 0.364692 | − | 1.69668i | ||||
\(862\) | −24.9538 | + | 8.10797i | −0.849929 | + | 0.276159i | ||||
\(863\) | 19.3153 | + | 26.5852i | 0.657500 | + | 0.904971i | 0.999395 | − | 0.0347668i | \(-0.0110689\pi\) |
−0.341895 | + | 0.939738i | \(0.611069\pi\) | |||||||
\(864\) | −1.49022 | + | 1.08271i | −0.0506983 | + | 0.0368344i | ||||
\(865\) | −2.02537 | + | 1.49698i | −0.0688646 | + | 0.0508990i | ||||
\(866\) | −6.08490 | + | 18.7274i | −0.206773 | + | 0.636382i | ||||
\(867\) | 7.09895 | + | 5.15769i | 0.241093 | + | 0.175164i | ||||
\(868\) | 0.727084 | + | 7.07305i | 0.0246788 | + | 0.240075i | ||||
\(869\) | 16.3590 | − | 12.1741i | 0.554942 | − | 0.412979i | ||||
\(870\) | 11.1175 | + | 33.2871i | 0.376919 | + | 1.12854i | ||||
\(871\) | −1.56227 | − | 1.13505i | −0.0529354 | − | 0.0384598i | ||||
\(872\) | −2.72560 | − | 0.885600i | −0.0923004 | − | 0.0299902i | ||||
\(873\) | −8.73259 | − | 26.8761i | −0.295553 | − | 0.909620i | ||||
\(874\) | 28.2264 | + | 38.8504i | 0.954774 | + | 1.31413i | ||||
\(875\) | −3.74600 | − | 29.3422i | −0.126638 | − | 0.991949i | ||||
\(876\) | −5.71459 | + | 1.85678i | −0.193078 | + | 0.0627349i | ||||
\(877\) | −1.29478 | + | 3.98493i | −0.0437217 | + | 0.134562i | −0.970535 | − | 0.240962i | \(-0.922537\pi\) |
0.926813 | + | 0.375524i | \(0.122537\pi\) | |||||||
\(878\) | −10.8703 | − | 7.89776i | −0.366856 | − | 0.266536i | ||||
\(879\) | 36.6093i | 1.23480i | ||||||||
\(880\) | 2.15284 | − | 7.09685i | 0.0725721 | − | 0.239235i | ||||
\(881\) | − | 2.11541i | − | 0.0712699i | −0.999365 | − | 0.0356349i | \(-0.988655\pi\) | ||
0.999365 | − | 0.0356349i | \(-0.0113454\pi\) | |||||||
\(882\) | 13.9860 | + | 6.30367i | 0.470935 | + | 0.212256i | ||||
\(883\) | 8.28690 | + | 2.69258i | 0.278876 | + | 0.0906124i | 0.445116 | − | 0.895473i | \(-0.353162\pi\) |
−0.166239 | + | 0.986085i | \(0.553162\pi\) | |||||||
\(884\) | −9.02262 | − | 27.7688i | −0.303463 | − | 0.933964i | ||||
\(885\) | −43.7178 | − | 31.2197i | −1.46956 | − | 1.04944i | ||||
\(886\) | −4.92004 | − | 6.77186i | −0.165292 | − | 0.227505i | ||||
\(887\) | −38.8192 | + | 12.6131i | −1.30342 | + | 0.423507i | −0.876770 | − | 0.480909i | \(-0.840307\pi\) |
−0.426651 | + | 0.904416i | \(0.640307\pi\) | |||||||
\(888\) | 10.3773 | + | 3.37179i | 0.348240 | + | 0.113150i | ||||
\(889\) | 9.64845 | + | 5.59994i | 0.323599 | + | 0.187816i | ||||
\(890\) | −1.37134 | − | 4.10594i | −0.0459673 | − | 0.137631i | ||||
\(891\) | −0.409062 | − | 35.7235i | −0.0137041 | − | 1.19678i | ||||
\(892\) | −28.2106 | −0.944561 | ||||||||
\(893\) | 17.2004 | + | 12.4969i | 0.575591 | + | 0.418191i | ||||
\(894\) | −17.0743 | − | 5.54779i | −0.571052 | − | 0.185546i | ||||
\(895\) | 14.5290 | + | 19.6572i | 0.485650 | + | 0.657068i | ||||
\(896\) | −1.97021 | + | 1.76586i | −0.0658202 | + | 0.0589932i | ||||
\(897\) | 85.3347 | − | 61.9993i | 2.84924 | − | 2.07010i | ||||
\(898\) | 1.97286 | + | 6.07184i | 0.0658352 | + | 0.202620i | ||||
\(899\) | −5.72043 | + | 17.6057i | −0.190787 | + | 0.587182i | ||||
\(900\) | −10.9564 | + | 0.179280i | −0.365213 | + | 0.00597599i | ||||
\(901\) | −28.9926 | −0.965884 | ||||||||
\(902\) | −26.5440 | + | 8.96197i | −0.883819 | + | 0.298401i | ||||
\(903\) | 22.6610 | − | 2.32947i | 0.754111 | − | 0.0775199i | ||||
\(904\) | −1.09161 | + | 1.50247i | −0.0363063 | + | 0.0499713i | ||||
\(905\) | −2.62277 | + | 0.0214568i | −0.0871839 | + | 0.000713249i | ||||
\(906\) | 39.9057 | − | 12.9662i | 1.32578 | − | 0.430772i | ||||
\(907\) | 20.0572 | + | 27.6064i | 0.665989 | + | 0.916655i | 0.999661 | − | 0.0260343i | \(-0.00828792\pi\) |
−0.333672 | + | 0.942689i | \(0.608288\pi\) | |||||||
\(908\) | 1.39775 | + | 1.92383i | 0.0463859 | + | 0.0638447i | ||||
\(909\) | −5.78773 | − | 17.8128i | −0.191967 | − | 0.590813i | ||||
\(910\) | 37.5973 | − | 4.17597i | 1.24634 | − | 0.138432i | ||||
\(911\) | −24.3053 | − | 17.6589i | −0.805271 | − | 0.585064i | 0.107184 | − | 0.994239i | \(-0.465816\pi\) |
−0.912456 | + | 0.409175i | \(0.865816\pi\) | |||||||
\(912\) | 15.1131 | 0.500445 | ||||||||
\(913\) | −2.56258 | − | 7.58998i | −0.0848090 | − | 0.251192i | ||||
\(914\) | 5.39097 | 0.178318 | ||||||||
\(915\) | −3.57826 | − | 1.13037i | −0.118294 | − | 0.0373689i | ||||
\(916\) | 2.71521 | + | 0.882227i | 0.0897132 | + | 0.0291496i | ||||
\(917\) | −2.18311 | − | 4.93363i | −0.0720926 | − | 0.162923i | ||||
\(918\) | −4.94397 | − | 6.80479i | −0.163175 | − | 0.224592i | ||||
\(919\) | −20.8496 | − | 28.6970i | −0.687764 | − | 0.946626i | 0.312230 | − | 0.950006i | \(-0.398924\pi\) |
−0.999994 | + | 0.00338051i | \(0.998924\pi\) | |||||||
\(920\) | 13.0188 | − | 9.62244i | 0.429219 | − | 0.317243i | ||||
\(921\) | −11.7187 | − | 3.80765i | −0.386145 | − | 0.125466i | ||||
\(922\) | 23.5182 | + | 17.0869i | 0.774530 | + | 0.562729i | ||||
\(923\) | 45.9270i | 1.51171i | ||||||||
\(924\) | −2.27211 | − | 19.8642i | −0.0747469 | − | 0.653486i | ||||
\(925\) | −14.3891 | − | 19.1384i | −0.473109 | − | 0.629265i | ||||
\(926\) | −11.5804 | + | 15.9391i | −0.380556 | + | 0.523791i | ||||
\(927\) | 5.03009 | − | 15.4810i | 0.165210 | − | 0.508464i | ||||
\(928\) | −6.55107 | + | 2.12857i | −0.215050 | + | 0.0698738i | ||||
\(929\) | −13.6486 | − | 18.7857i | −0.447797 | − | 0.616340i | 0.524125 | − | 0.851641i | \(-0.324392\pi\) |
−0.971923 | + | 0.235301i | \(0.924392\pi\) | |||||||
\(930\) | −11.1427 | − | 7.95721i | −0.365384 | − | 0.260927i | ||||
\(931\) | 23.0313 | + | 40.3155i | 0.754822 | + | 1.32129i | ||||
\(932\) | 7.55340 | − | 23.2470i | 0.247420 | − | 0.761480i | ||||
\(933\) | 30.9281 | − | 42.5689i | 1.01254 | − | 1.39364i | ||||
\(934\) | 17.5162 | 0.573146 | ||||||||
\(935\) | 32.4064 | + | 9.83050i | 1.05980 | + | 0.321492i | ||||
\(936\) | − | 14.0133i | − | 0.458039i | ||||||
\(937\) | 27.2821 | − | 37.5506i | 0.891268 | − | 1.22673i | −0.0819027 | − | 0.996640i | \(-0.526100\pi\) |
0.973171 | − | 0.230085i | \(-0.0739003\pi\) | |||||||
\(938\) | −0.781184 | − | 0.167911i | −0.0255066 | − | 0.00548249i | ||||
\(939\) | 4.37447 | + | 13.4632i | 0.142755 | + | 0.439356i | ||||
\(940\) | 4.16533 | − | 5.83284i | 0.135858 | − | 0.190246i | ||||
\(941\) | 3.65435 | − | 2.65504i | 0.119129 | − | 0.0865519i | −0.526626 | − | 0.850097i | \(-0.676543\pi\) |
0.645754 | + | 0.763545i | \(0.276543\pi\) | |||||||
\(942\) | 7.20164 | + | 22.1644i | 0.234642 | + | 0.722154i | ||||
\(943\) | −58.1636 | − | 18.8985i | −1.89407 | − | 0.615419i | ||||
\(944\) | 6.19764 | − | 8.53032i | 0.201716 | − | 0.277638i | ||||
\(945\) | 9.92904 | − | 4.49104i | 0.322992 | − | 0.146094i | ||||
\(946\) | −7.48241 | − | 10.0545i | −0.243274 | − | 0.326900i | ||||
\(947\) | − | 21.1352i | − | 0.686803i | −0.939189 | − | 0.343401i | \(-0.888421\pi\) | ||
0.939189 | − | 0.343401i | \(-0.111579\pi\) | |||||||
\(948\) | 8.23433 | − | 11.3336i | 0.267439 | − | 0.368098i | ||||
\(949\) | −5.21072 | + | 16.0369i | −0.169147 | + | 0.520581i | ||||
\(950\) | −27.1460 | − | 19.0521i | −0.880733 | − | 0.618130i | ||||
\(951\) | −31.2883 | − | 43.0646i | −1.01459 | − | 1.39647i | ||||
\(952\) | −8.06345 | − | 8.99659i | −0.261338 | − | 0.291581i | ||||
\(953\) | −8.46285 | − | 26.0460i | −0.274139 | − | 0.843712i | −0.989446 | − | 0.144902i | \(-0.953713\pi\) |
0.715308 | − | 0.698810i | \(-0.246287\pi\) | |||||||
\(954\) | −13.2338 | − | 4.29992i | −0.428459 | − | 0.139215i | ||||
\(955\) | −20.8271 | − | 6.57927i | −0.673950 | − | 0.212900i | ||||
\(956\) | − | 15.8796i | − | 0.513584i | ||||||
\(957\) | 15.5176 | − | 49.6870i | 0.501612 | − | 1.60615i | ||||
\(958\) | −10.9590 | −0.354070 | ||||||||
\(959\) | −23.3138 | + | 40.1685i | −0.752840 | + | 1.29711i | ||||
\(960\) | −0.0416797 | − | 5.09471i | −0.00134521 | − | 0.164431i | ||||
\(961\) | 7.34769 | + | 22.6139i | 0.237022 | + | 0.729479i | ||||
\(962\) | 24.7726 | − | 17.9984i | 0.798702 | − | 0.580291i | ||||
\(963\) | 35.5408 | − | 25.8219i | 1.14529 | − | 0.832099i | ||||
\(964\) | 2.40510 | + | 7.40213i | 0.0774630 | + | 0.238407i | ||||
\(965\) | −0.249519 | − | 30.4999i | −0.00803229 | − | 0.981826i | ||||
\(966\) | 21.9086 | − | 37.7475i | 0.704898 | − | 1.21451i | ||||
\(967\) | −54.6835 | −1.75850 | −0.879252 | − | 0.476357i | \(-0.841957\pi\) | ||||
−0.879252 | + | 0.476357i | \(0.841957\pi\) | |||||||
\(968\) | −8.74880 | + | 6.66772i | −0.281197 | + | 0.214309i | ||||
\(969\) | 69.0110i | 2.21695i | ||||||||
\(970\) | −27.4938 | − | 8.68527i | −0.882774 | − | 0.278867i | ||||
\(971\) | 13.7839 | + | 4.47865i | 0.442345 | + | 0.143727i | 0.521717 | − | 0.853118i | \(-0.325292\pi\) |
−0.0793721 | + | 0.996845i | \(0.525292\pi\) | |||||||
\(972\) | −5.87669 | − | 18.0866i | −0.188495 | − | 0.580128i | ||||
\(973\) | 16.4904 | − | 14.7800i | 0.528658 | − | 0.473825i | ||||
\(974\) | −9.21004 | − | 12.6765i | −0.295109 | − | 0.406182i | ||||
\(975\) | −41.8478 | + | 59.6262i | −1.34020 | + | 1.90957i | ||||
\(976\) | 0.227602 | − | 0.700486i | 0.00728536 | − | 0.0224220i | ||||
\(977\) | −33.6470 | + | 46.3112i | −1.07646 | + | 1.48163i | −0.213108 | + | 0.977029i | \(0.568359\pi\) |
−0.863355 | + | 0.504597i | \(0.831641\pi\) | |||||||
\(978\) | − | 14.6108i | − | 0.467201i | ||||||
\(979\) | −1.91408 | + | 6.12884i | −0.0611743 | + | 0.195879i | ||||
\(980\) | 13.5271 | − | 7.87518i | 0.432106 | − | 0.251563i | ||||
\(981\) | 3.69172 | − | 5.08122i | 0.117868 | − | 0.162231i | ||||
\(982\) | −33.3372 | − | 10.8319i | −1.06383 | − | 0.345660i | ||||
\(983\) | 2.81726 | + | 8.67063i | 0.0898566 | + | 0.276550i | 0.985879 | − | 0.167458i | \(-0.0535560\pi\) |
−0.896023 | + | 0.444009i | \(0.853556\pi\) | |||||||
\(984\) | −15.5711 | + | 11.3130i | −0.496387 | + | 0.360647i | ||||
\(985\) | −30.2965 | + | 42.4251i | −0.965327 | + | 1.35178i | ||||
\(986\) | −9.71971 | − | 29.9142i | −0.309539 | − | 0.952662i | ||||
\(987\) | 4.06064 | − | 18.8916i | 0.129251 | − | 0.601326i | ||||
\(988\) | 24.9292 | − | 34.3121i | 0.793103 | − | 1.09161i | ||||
\(989\) | − | 27.3588i | − | 0.869959i | ||||||
\(990\) | 13.3340 | + | 9.29338i | 0.423784 | + | 0.295363i | ||||
\(991\) | −16.7642 | −0.532532 | −0.266266 | − | 0.963900i | \(-0.585790\pi\) | ||||
−0.266266 | + | 0.963900i | \(0.585790\pi\) | |||||||
\(992\) | 1.57964 | − | 2.17419i | 0.0501537 | − | 0.0690307i | ||||
\(993\) | 1.77071 | − | 5.44968i | 0.0561918 | − | 0.172940i | ||||
\(994\) | 7.68973 | + | 17.3781i | 0.243903 | + | 0.551199i | ||||
\(995\) | 14.3101 | + | 10.2191i | 0.453660 | + | 0.323966i | ||||
\(996\) | −3.23485 | − | 4.45238i | −0.102500 | − | 0.141079i | ||||
\(997\) | 45.4896 | − | 14.7805i | 1.44067 | − | 0.468102i | 0.518565 | − | 0.855038i | \(-0.326467\pi\) |
0.922107 | + | 0.386936i | \(0.126467\pi\) | |||||||
\(998\) | −3.73319 | + | 11.4896i | −0.118172 | + | 0.363697i | ||||
\(999\) | 5.18490 | − | 7.13640i | 0.164043 | − | 0.225786i |
(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 | 770.2.w.b.139.20 | yes | 96 | |
5.4 | even | 2 | 770.2.w.a.139.5 | ✓ | 96 | ||
7.6 | odd | 2 | inner | 770.2.w.b.139.5 | yes | 96 | |
11.8 | odd | 10 | 770.2.w.a.349.20 | yes | 96 | ||
35.34 | odd | 2 | 770.2.w.a.139.20 | yes | 96 | ||
55.19 | odd | 10 | inner | 770.2.w.b.349.5 | yes | 96 | |
77.41 | even | 10 | 770.2.w.a.349.5 | yes | 96 | ||
385.349 | even | 10 | inner | 770.2.w.b.349.20 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
770.2.w.a.139.5 | ✓ | 96 | 5.4 | even | 2 | ||
770.2.w.a.139.20 | yes | 96 | 35.34 | odd | 2 | ||
770.2.w.a.349.5 | yes | 96 | 77.41 | even | 10 | ||
770.2.w.a.349.20 | yes | 96 | 11.8 | odd | 10 | ||
770.2.w.b.139.5 | yes | 96 | 7.6 | odd | 2 | inner | |
770.2.w.b.139.20 | yes | 96 | 1.1 | even | 1 | trivial | |
770.2.w.b.349.5 | yes | 96 | 55.19 | odd | 10 | inner | |
770.2.w.b.349.20 | yes | 96 | 385.349 | even | 10 | inner |