Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [980,2,Mod(67,980)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(980, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("980.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 980 = 2^{2} \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 980.x (of order \(12\), degree \(4\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.82533939809\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 140) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 263.2 | ||
Character | \(\chi\) | \(=\) | 980.263 |
Dual form | 980.2.x.m.667.2 |
$q$-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 \(\left(\mathbb{Z}/980\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) | \(491\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.24304 | + | 0.674418i | −0.878965 | + | 0.476886i | ||||
\(3\) | −0.664287 | − | 2.47915i | −0.383527 | − | 1.43134i | −0.840476 | − | 0.541848i | \(-0.817725\pi\) |
0.456950 | − | 0.889492i | \(-0.348942\pi\) | |||||||
\(4\) | 1.09032 | − | 1.67666i | 0.545160 | − | 0.838332i | ||||
\(5\) | 1.93933 | − | 1.11310i | 0.867295 | − | 0.497795i | ||||
\(6\) | 2.49773 | + | 2.63369i | 1.01969 | + | 1.07520i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −0.224544 | + | 2.81950i | −0.0793882 | + | 0.996844i | ||||
\(9\) | −3.10685 | + | 1.79374i | −1.03562 | + | 0.597914i | ||||
\(10\) | −1.65998 | + | 2.69156i | −0.524930 | + | 0.851145i | ||||
\(11\) | −1.59653 | − | 0.921758i | −0.481372 | − | 0.277920i | 0.239616 | − | 0.970868i | \(-0.422978\pi\) |
−0.720988 | + | 0.692947i | \(0.756312\pi\) | |||||||
\(12\) | −4.88099 | − | 1.58929i | −1.40902 | − | 0.458787i | ||||
\(13\) | 2.94578 | + | 2.94578i | 0.817012 | + | 0.817012i | 0.985674 | − | 0.168662i | \(-0.0539447\pi\) |
−0.168662 | + | 0.985674i | \(0.553945\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −4.04783 | − | 4.06848i | −1.04514 | − | 1.05048i | ||||
\(16\) | −1.62240 | − | 3.65620i | −0.405601 | − | 0.914050i | ||||
\(17\) | −0.795631 | − | 2.96933i | −0.192969 | − | 0.720169i | −0.992783 | − | 0.119922i | \(-0.961736\pi\) |
0.799815 | − | 0.600247i | \(-0.204931\pi\) | |||||||
\(18\) | 2.65222 | − | 4.32502i | 0.625135 | − | 1.01942i | ||||
\(19\) | −2.66374 | − | 4.61374i | −0.611104 | − | 1.05846i | −0.991055 | − | 0.133457i | \(-0.957392\pi\) |
0.379950 | − | 0.925007i | \(-0.375941\pi\) | |||||||
\(20\) | 0.248189 | − | 4.46524i | 0.0554967 | − | 0.998459i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.60621 | + | 0.0690563i | 0.555646 | + | 0.0147228i | ||||
\(23\) | 2.44429 | + | 0.654945i | 0.509669 | + | 0.136565i | 0.504484 | − | 0.863421i | \(-0.331683\pi\) |
0.00518527 | + | 0.999987i | \(0.498349\pi\) | |||||||
\(24\) | 7.13914 | − | 1.31628i | 1.45727 | − | 0.268684i | ||||
\(25\) | 2.52200 | − | 4.31735i | 0.504400 | − | 0.863470i | ||||
\(26\) | −5.64842 | − | 1.67505i | −1.10775 | − | 0.328504i | ||||
\(27\) | 1.06621 | + | 1.06621i | 0.205191 | + | 0.205191i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | − | 6.35796i | − | 1.18064i | −0.807168 | − | 0.590322i | \(-0.799001\pi\) | ||
0.807168 | − | 0.590322i | \(-0.200999\pi\) | |||||||
\(30\) | 7.77549 | + | 2.32737i | 1.41960 | + | 0.424917i | ||||
\(31\) | −3.78330 | − | 2.18429i | −0.679500 | − | 0.392310i | 0.120166 | − | 0.992754i | \(-0.461657\pi\) |
−0.799667 | + | 0.600444i | \(0.794991\pi\) | |||||||
\(32\) | 4.48253 | + | 3.45064i | 0.792407 | + | 0.609993i | ||||
\(33\) | −1.22462 | + | 4.57036i | −0.213180 | + | 0.795597i | ||||
\(34\) | 2.99158 | + | 3.15443i | 0.513051 | + | 0.540980i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.379961 | + | 7.16490i | −0.0633268 | + | 1.19415i | ||||
\(37\) | 3.86848 | + | 1.03655i | 0.635973 | + | 0.170409i | 0.562379 | − | 0.826880i | \(-0.309886\pi\) |
0.0735946 | + | 0.997288i | \(0.476553\pi\) | |||||||
\(38\) | 6.42274 | + | 3.93860i | 1.04191 | + | 0.638926i | ||||
\(39\) | 5.34619 | − | 9.25988i | 0.856076 | − | 1.48277i | ||||
\(40\) | 2.70293 | + | 5.71788i | 0.427371 | + | 0.904076i | ||||
\(41\) | −10.6462 | −1.66266 | −0.831331 | − | 0.555777i | \(-0.812421\pi\) | ||||
−0.831331 | + | 0.555777i | \(0.812421\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.02386 | + | 1.02386i | −0.156137 | + | 0.156137i | −0.780853 | − | 0.624715i | \(-0.785215\pi\) |
0.624715 | + | 0.780853i | \(0.285215\pi\) | |||||||
\(44\) | −3.28621 | + | 1.67184i | −0.495414 | + | 0.252039i | ||||
\(45\) | −4.02859 | + | 6.93691i | −0.600547 | + | 1.03409i | ||||
\(46\) | −3.48006 | + | 0.834346i | −0.513108 | + | 0.123018i | ||||
\(47\) | −0.210467 | + | 0.785472i | −0.0306997 | + | 0.114573i | −0.979575 | − | 0.201077i | \(-0.935556\pi\) |
0.948876 | + | 0.315650i | \(0.102223\pi\) | |||||||
\(48\) | −7.98654 | + | 6.45096i | −1.15276 | + | 0.931116i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −0.223257 | + | 7.06754i | −0.0315734 | + | 0.999501i | ||||
\(51\) | −6.83291 | + | 3.94498i | −0.956799 | + | 0.552408i | ||||
\(52\) | 8.15092 | − | 1.72724i | 1.13033 | − | 0.239525i | ||||
\(53\) | −2.61122 | + | 0.699675i | −0.358679 | + | 0.0961077i | −0.433658 | − | 0.901077i | \(-0.642778\pi\) |
0.0749796 | + | 0.997185i | \(0.476111\pi\) | |||||||
\(54\) | −2.04441 | − | 0.606273i | −0.278209 | − | 0.0825033i | ||||
\(55\) | −4.12221 | − | 0.0104869i | −0.555839 | − | 0.00141406i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −9.66867 | + | 9.66867i | −1.28065 | + | 1.28065i | ||||
\(58\) | 4.28793 | + | 7.90323i | 0.563032 | + | 1.03775i | ||||
\(59\) | 2.11446 | − | 3.66235i | 0.275279 | − | 0.476797i | −0.694927 | − | 0.719081i | \(-0.744563\pi\) |
0.970205 | + | 0.242284i | \(0.0778965\pi\) | |||||||
\(60\) | −11.2349 | + | 2.35091i | −1.45042 | + | 0.303501i | ||||
\(61\) | 6.00599 | + | 10.4027i | 0.768988 | + | 1.33193i | 0.938112 | + | 0.346332i | \(0.112573\pi\) |
−0.169124 | + | 0.985595i | \(0.554094\pi\) | |||||||
\(62\) | 6.17593 | + | 0.163643i | 0.784344 | + | 0.0207826i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.89916 | − | 1.26620i | −0.987395 | − | 0.158275i | ||||
\(65\) | 8.99179 | + | 2.43388i | 1.11529 | + | 0.301885i | ||||
\(66\) | −1.56007 | − | 6.50707i | −0.192031 | − | 0.800965i | ||||
\(67\) | −3.19541 | + | 0.856208i | −0.390382 | + | 0.104602i | −0.448670 | − | 0.893697i | \(-0.648102\pi\) |
0.0582888 | + | 0.998300i | \(0.481436\pi\) | |||||||
\(68\) | −5.84607 | − | 1.90352i | −0.708940 | − | 0.230836i | ||||
\(69\) | − | 6.49484i | − | 0.781886i | ||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 10.5316i | − | 1.24988i | −0.780675 | − | 0.624938i | \(-0.785124\pi\) | ||
0.780675 | − | 0.624938i | \(-0.214876\pi\) | |||||||
\(72\) | −4.35983 | − | 9.16254i | −0.513811 | − | 1.07982i | ||||
\(73\) | −1.97704 | + | 0.529747i | −0.231395 | + | 0.0620022i | −0.372653 | − | 0.927971i | \(-0.621552\pi\) |
0.141258 | + | 0.989973i | \(0.454885\pi\) | |||||||
\(74\) | −5.50776 | + | 1.32049i | −0.640264 | + | 0.153503i | ||||
\(75\) | −12.3787 | − | 3.38446i | −1.42937 | − | 0.390804i | ||||
\(76\) | −10.6400 | − | 0.564249i | −1.22049 | − | 0.0647238i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −0.400526 | + | 15.1160i | −0.0453507 | + | 1.71155i | ||||
\(79\) | −3.95797 | − | 6.85541i | −0.445307 | − | 0.771294i | 0.552767 | − | 0.833336i | \(-0.313572\pi\) |
−0.998074 | + | 0.0620421i | \(0.980239\pi\) | |||||||
\(80\) | −7.21611 | − | 5.28467i | −0.806785 | − | 0.590845i | ||||
\(81\) | −3.44620 | + | 5.96900i | −0.382912 | + | 0.663222i | ||||
\(82\) | 13.2337 | − | 7.18001i | 1.46142 | − | 0.792900i | ||||
\(83\) | 0.227439 | − | 0.227439i | 0.0249647 | − | 0.0249647i | −0.694514 | − | 0.719479i | \(-0.744381\pi\) |
0.719479 | + | 0.694514i | \(0.244381\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.84817 | − | 4.87290i | −0.525858 | − | 0.528540i | ||||
\(86\) | 0.582195 | − | 1.96322i | 0.0627797 | − | 0.211699i | ||||
\(87\) | −15.7624 | + | 4.22352i | −1.68990 | + | 0.452808i | ||||
\(88\) | 2.95739 | − | 4.29444i | 0.315259 | − | 0.457789i | ||||
\(89\) | 3.75731 | − | 2.16929i | 0.398274 | − | 0.229944i | −0.287465 | − | 0.957791i | \(-0.592812\pi\) |
0.685739 | + | 0.727847i | \(0.259479\pi\) | |||||||
\(90\) | 0.329341 | − | 11.3398i | 0.0347155 | − | 1.19532i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 3.76318 | − | 3.38415i | 0.392338 | − | 0.352822i | ||||
\(93\) | −2.90199 | + | 10.8304i | −0.300922 | + | 1.12306i | ||||
\(94\) | −0.268117 | − | 1.11832i | −0.0276542 | − | 0.115346i | ||||
\(95\) | −10.3014 | − | 5.98253i | −1.05691 | − | 0.613795i | ||||
\(96\) | 5.57699 | − | 13.4051i | 0.569199 | − | 1.36815i | ||||
\(97\) | −0.196142 | + | 0.196142i | −0.0199152 | + | 0.0199152i | −0.716994 | − | 0.697079i | \(-0.754483\pi\) |
0.697079 | + | 0.716994i | \(0.254483\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 6.61358 | 0.664690 | ||||||||
\(100\) | −4.48896 | − | 8.93584i | −0.448896 | − | 0.893584i | ||||
\(101\) | −3.67449 | + | 6.36440i | −0.365625 | + | 0.633281i | −0.988876 | − | 0.148741i | \(-0.952478\pi\) |
0.623251 | + | 0.782022i | \(0.285811\pi\) | |||||||
\(102\) | 5.83304 | − | 9.51203i | 0.577557 | − | 0.941831i | ||||
\(103\) | 13.1752 | + | 3.53030i | 1.29820 | + | 0.347850i | 0.840768 | − | 0.541396i | \(-0.182104\pi\) |
0.457428 | + | 0.889247i | \(0.348771\pi\) | |||||||
\(104\) | −8.96707 | + | 7.64416i | −0.879294 | + | 0.749572i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.77399 | − | 2.63078i | 0.269434 | − | 0.255524i | ||||
\(107\) | −1.20875 | + | 4.51112i | −0.116854 | + | 0.436107i | −0.999419 | − | 0.0340847i | \(-0.989148\pi\) |
0.882565 | + | 0.470191i | \(0.155815\pi\) | |||||||
\(108\) | 2.95017 | − | 0.625163i | 0.283881 | − | 0.0601564i | ||||
\(109\) | 8.77373 | + | 5.06552i | 0.840371 | + | 0.485188i | 0.857390 | − | 0.514667i | \(-0.172084\pi\) |
−0.0170193 | + | 0.999855i | \(0.505418\pi\) | |||||||
\(110\) | 5.13117 | − | 2.76706i | 0.489238 | − | 0.263829i | ||||
\(111\) | − | 10.2791i | − | 0.975651i | ||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −7.70435 | − | 7.70435i | −0.724764 | − | 0.724764i | 0.244807 | − | 0.969572i | \(-0.421275\pi\) |
−0.969572 | + | 0.244807i | \(0.921275\pi\) | |||||||
\(114\) | 5.49786 | − | 18.5393i | 0.514922 | − | 1.73637i | ||||
\(115\) | 5.46930 | − | 1.45059i | 0.510015 | − | 0.135268i | ||||
\(116\) | −10.6602 | − | 6.93222i | −0.989772 | − | 0.643640i | ||||
\(117\) | −14.4361 | − | 3.86813i | −1.33461 | − | 0.357609i | ||||
\(118\) | −0.158411 | + | 5.97849i | −0.0145829 | + | 0.550365i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 12.3800 | − | 10.4993i | 1.13013 | − | 0.958451i | ||||
\(121\) | −3.80073 | − | 6.58305i | −0.345521 | − | 0.598459i | ||||
\(122\) | −14.4815 | − | 8.88045i | −1.31109 | − | 0.803998i | ||||
\(123\) | 7.07216 | + | 26.3937i | 0.637675 | + | 2.37984i | ||||
\(124\) | −7.78732 | + | 3.96175i | −0.699322 | + | 0.355775i | ||||
\(125\) | 0.0853274 | − | 11.1800i | 0.00763192 | − | 0.999971i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.01446 | + | 9.01446i | 0.799904 | + | 0.799904i | 0.983080 | − | 0.183176i | \(-0.0586380\pi\) |
−0.183176 | + | 0.983080i | \(0.558638\pi\) | |||||||
\(128\) | 10.6730 | − | 3.75339i | 0.943365 | − | 0.331756i | ||||
\(129\) | 3.21845 | + | 1.85817i | 0.283369 | + | 0.163603i | ||||
\(130\) | −12.8186 | + | 3.03881i | −1.12427 | + | 0.266521i | ||||
\(131\) | −16.2391 | + | 9.37562i | −1.41881 | + | 0.819152i | −0.996195 | − | 0.0871562i | \(-0.972222\pi\) |
−0.422618 | + | 0.906308i | \(0.638889\pi\) | |||||||
\(132\) | 6.32772 | + | 7.03644i | 0.550758 | + | 0.612443i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 3.39460 | − | 3.21935i | 0.293248 | − | 0.278109i | ||||
\(135\) | 3.25452 | + | 0.880927i | 0.280105 | + | 0.0758181i | ||||
\(136\) | 8.55069 | − | 1.57653i | 0.733216 | − | 0.135187i | ||||
\(137\) | −4.67059 | − | 17.4309i | −0.399035 | − | 1.48922i | −0.814797 | − | 0.579747i | \(-0.803151\pi\) |
0.415761 | − | 0.909474i | \(-0.363515\pi\) | |||||||
\(138\) | 4.38024 | + | 8.07337i | 0.372870 | + | 0.687251i | ||||
\(139\) | −2.38747 | −0.202503 | −0.101251 | − | 0.994861i | \(-0.532285\pi\) | ||||
−0.101251 | + | 0.994861i | \(0.532285\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.08712 | 0.175767 | ||||||||
\(142\) | 7.10273 | + | 13.0913i | 0.596048 | + | 1.09860i | ||||
\(143\) | −1.98773 | − | 7.41832i | −0.166223 | − | 0.620351i | ||||
\(144\) | 11.5989 | + | 8.44910i | 0.966571 | + | 0.704092i | ||||
\(145\) | −7.07707 | − | 12.3302i | −0.587719 | − | 1.02397i | ||||
\(146\) | 2.10028 | − | 1.99185i | 0.173821 | − | 0.164847i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 5.95583 | − | 5.35596i | 0.489566 | − | 0.440257i | ||||
\(149\) | 9.54286 | − | 5.50957i | 0.781781 | − | 0.451362i | −0.0552800 | − | 0.998471i | \(-0.517605\pi\) |
0.837061 | + | 0.547109i | \(0.184272\pi\) | |||||||
\(150\) | 17.6698 | − | 4.14139i | 1.44274 | − | 0.338143i | ||||
\(151\) | 14.3323 | + | 8.27478i | 1.16635 | + | 0.673392i | 0.952817 | − | 0.303544i | \(-0.0981699\pi\) |
0.213532 | + | 0.976936i | \(0.431503\pi\) | |||||||
\(152\) | 13.6066 | − | 6.47443i | 1.10364 | − | 0.525146i | ||||
\(153\) | 7.79813 | + | 7.79813i | 0.630441 | + | 0.630441i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −9.76840 | − | 0.0248508i | −0.784617 | − | 0.00199607i | ||||
\(156\) | −9.69664 | − | 19.0600i | −0.776353 | − | 1.52602i | ||||
\(157\) | 1.46794 | + | 5.47844i | 0.117155 | + | 0.437227i | 0.999439 | − | 0.0334897i | \(-0.0106621\pi\) |
−0.882284 | + | 0.470717i | \(0.843995\pi\) | |||||||
\(158\) | 9.54335 | + | 5.85225i | 0.759228 | + | 0.465580i | ||||
\(159\) | 3.46920 | + | 6.00883i | 0.275126 | + | 0.476532i | ||||
\(160\) | 12.5340 | + | 1.70241i | 0.990902 | + | 0.134587i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0.258183 | − | 9.74392i | 0.0202848 | − | 0.765555i | ||||
\(163\) | −2.86811 | − | 0.768508i | −0.224648 | − | 0.0601942i | 0.144739 | − | 0.989470i | \(-0.453766\pi\) |
−0.369387 | + | 0.929276i | \(0.620432\pi\) | |||||||
\(164\) | −11.6078 | + | 17.8502i | −0.906417 | + | 1.39386i | ||||
\(165\) | 2.71234 | + | 10.2266i | 0.211155 | + | 0.796137i | ||||
\(166\) | −0.129328 | + | 0.436106i | −0.0100378 | + | 0.0338484i | ||||
\(167\) | 11.1720 | + | 11.1720i | 0.864517 | + | 0.864517i | 0.991859 | − | 0.127342i | \(-0.0406446\pi\) |
−0.127342 | + | 0.991859i | \(0.540645\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.35520i | 0.335016i | ||||||||
\(170\) | 9.31286 | + | 2.78754i | 0.714264 | + | 0.213794i | ||||
\(171\) | 16.5517 | + | 9.55613i | 1.26574 | + | 0.730776i | ||||
\(172\) | 0.600335 | + | 2.83301i | 0.0457751 | + | 0.216015i | ||||
\(173\) | 1.79664 | − | 6.70516i | 0.136596 | − | 0.509784i | −0.863390 | − | 0.504537i | \(-0.831663\pi\) |
0.999986 | − | 0.00524677i | \(-0.00167011\pi\) | |||||||
\(174\) | 16.7449 | − | 15.8805i | 1.26943 | − | 1.20389i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −0.779913 | + | 7.33270i | −0.0587881 | + | 0.552723i | ||||
\(177\) | −10.4841 | − | 2.80921i | −0.788036 | − | 0.211154i | ||||
\(178\) | −3.20750 | + | 5.23052i | −0.240413 | + | 0.392044i | ||||
\(179\) | 5.08815 | − | 8.81294i | 0.380307 | − | 0.658710i | −0.610799 | − | 0.791785i | \(-0.709152\pi\) |
0.991106 | + | 0.133075i | \(0.0424852\pi\) | |||||||
\(180\) | 7.23841 | + | 14.3180i | 0.539519 | + | 1.06720i | ||||
\(181\) | 10.8055 | 0.803166 | 0.401583 | − | 0.915823i | \(-0.368460\pi\) | ||||
0.401583 | + | 0.915823i | \(0.368460\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 21.8002 | − | 21.8002i | 1.61151 | − | 1.61151i | ||||
\(184\) | −2.39547 | + | 6.74460i | −0.176596 | + | 0.497219i | ||||
\(185\) | 8.65604 | − | 2.29579i | 0.636405 | − | 0.168790i | ||||
\(186\) | −3.69690 | − | 15.4198i | −0.271070 | − | 1.13063i | ||||
\(187\) | −1.46676 | + | 5.47401i | −0.107260 | + | 0.400299i | ||||
\(188\) | 1.08750 | + | 1.20930i | 0.0793139 | + | 0.0881971i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 16.8399 | + | 0.489077i | 1.22169 | + | 0.0354814i | ||||
\(191\) | −11.9741 | + | 6.91324i | −0.866415 | + | 0.500225i | −0.866155 | − | 0.499775i | \(-0.833416\pi\) |
−0.000259570 | 1.00000i | \(0.500083\pi\) | ||||||||
\(192\) | 2.10820 | + | 20.4244i | 0.152146 | + | 1.47400i | ||||
\(193\) | −6.66228 | + | 1.78515i | −0.479561 | + | 0.128498i | −0.490498 | − | 0.871442i | \(-0.663185\pi\) |
0.0109371 | + | 0.999940i | \(0.496519\pi\) | |||||||
\(194\) | 0.111531 | − | 0.376094i | 0.00800748 | − | 0.0270020i | ||||
\(195\) | 0.0608241 | − | 23.9088i | 0.00435571 | − | 1.71215i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −7.85372 | + | 7.85372i | −0.559554 | + | 0.559554i | −0.929181 | − | 0.369626i | \(-0.879486\pi\) |
0.369626 | + | 0.929181i | \(0.379486\pi\) | |||||||
\(198\) | −8.22098 | + | 4.46032i | −0.584239 | + | 0.316981i | ||||
\(199\) | 8.63793 | − | 14.9613i | 0.612327 | − | 1.06058i | −0.378520 | − | 0.925593i | \(-0.623567\pi\) |
0.990847 | − | 0.134988i | \(-0.0430997\pi\) | |||||||
\(200\) | 11.6065 | + | 8.08021i | 0.820701 | + | 0.571357i | ||||
\(201\) | 4.24534 | + | 7.35315i | 0.299443 | + | 0.518651i | ||||
\(202\) | 0.275285 | − | 10.3894i | 0.0193690 | − | 0.730994i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −0.835649 | + | 15.7578i | −0.0585071 | + | 1.10327i | ||||
\(205\) | −20.6466 | + | 11.8504i | −1.44202 | + | 0.827665i | ||||
\(206\) | −18.7583 | + | 4.49731i | −1.30695 | + | 0.313342i | ||||
\(207\) | −8.76884 | + | 2.34960i | −0.609477 | + | 0.163309i | ||||
\(208\) | 5.99111 | − | 15.5496i | 0.415409 | − | 1.07817i | ||||
\(209\) | 9.82130i | 0.679353i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 18.6740i | 1.28557i | 0.766045 | + | 0.642787i | \(0.222222\pi\) | ||||
−0.766045 | + | 0.642787i | \(0.777778\pi\) | |||||||
\(212\) | −1.67395 | + | 5.14101i | −0.114967 | + | 0.353086i | ||||
\(213\) | −26.1096 | + | 6.99603i | −1.78900 | + | 0.479360i | ||||
\(214\) | −1.53985 | − | 6.42273i | −0.105262 | − | 0.439049i | ||||
\(215\) | −0.845941 | + | 3.12527i | −0.0576927 | + | 0.213142i | ||||
\(216\) | −3.24558 | + | 2.76676i | −0.220834 | + | 0.188254i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −14.3224 | − | 0.379499i | −0.970036 | − | 0.0257029i | ||||
\(219\) | 2.62665 | + | 4.54949i | 0.177492 | + | 0.307426i | ||||
\(220\) | −4.51211 | + | 6.90013i | −0.304207 | + | 0.465207i | ||||
\(221\) | 6.40324 | − | 11.0907i | 0.430729 | − | 0.746044i | ||||
\(222\) | 6.93243 | + | 12.7774i | 0.465274 | + | 0.857563i | ||||
\(223\) | −11.0752 | + | 11.0752i | −0.741650 | + | 0.741650i | −0.972895 | − | 0.231245i | \(-0.925720\pi\) |
0.231245 | + | 0.972895i | \(0.425720\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −0.0912651 | + | 17.9372i | −0.00608434 | + | 1.19581i | ||||
\(226\) | 14.7728 | + | 4.38090i | 0.982672 | + | 0.291413i | ||||
\(227\) | −2.53591 | + | 0.679495i | −0.168314 | + | 0.0450997i | −0.341992 | − | 0.939703i | \(-0.611102\pi\) |
0.173678 | + | 0.984803i | \(0.444435\pi\) | |||||||
\(228\) | 5.66917 | + | 26.7531i | 0.375450 | + | 1.77177i | ||||
\(229\) | 1.76043 | − | 1.01639i | 0.116333 | − | 0.0671646i | −0.440705 | − | 0.897652i | \(-0.645271\pi\) |
0.557037 | + | 0.830488i | \(0.311938\pi\) | |||||||
\(230\) | −5.82028 | + | 5.49175i | −0.383778 | + | 0.362115i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 17.9263 | + | 1.42764i | 1.17692 | + | 0.0937293i | ||||
\(233\) | 3.60589 | − | 13.4574i | 0.236230 | − | 0.881621i | −0.741361 | − | 0.671106i | \(-0.765819\pi\) |
0.977591 | − | 0.210514i | \(-0.0675139\pi\) | |||||||
\(234\) | 20.5534 | − | 4.92768i | 1.34362 | − | 0.322133i | ||||
\(235\) | 0.466148 | + | 1.75756i | 0.0304081 | + | 0.114651i | ||||
\(236\) | −3.83509 | − | 7.53837i | −0.249643 | − | 0.490706i | ||||
\(237\) | −14.3664 | + | 14.3664i | −0.933197 | + | 0.933197i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −9.72902 | −0.629318 | −0.314659 | − | 0.949205i | \(-0.601890\pi\) | ||||
−0.314659 | + | 0.949205i | \(0.601890\pi\) | |||||||
\(240\) | −8.30795 | + | 21.4004i | −0.536276 | + | 1.38139i | ||||
\(241\) | 7.97303 | − | 13.8097i | 0.513588 | − | 0.889560i | −0.486288 | − | 0.873799i | \(-0.661649\pi\) |
0.999876 | − | 0.0157617i | \(-0.00501731\pi\) | |||||||
\(242\) | 9.16420 | + | 5.61975i | 0.589097 | + | 0.361251i | ||||
\(243\) | 21.4567 | + | 5.74932i | 1.37645 | + | 0.368819i | ||||
\(244\) | 23.9903 | + | 1.27222i | 1.53582 | + | 0.0814458i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −26.5914 | − | 28.0389i | −1.69540 | − | 1.78770i | ||||
\(247\) | 5.74425 | − | 21.4378i | 0.365498 | − | 1.36406i | ||||
\(248\) | 7.00812 | − | 10.1765i | 0.445016 | − | 0.646211i | ||||
\(249\) | −0.714941 | − | 0.412771i | −0.0453075 | − | 0.0261583i | ||||
\(250\) | 7.43394 | + | 13.9548i | 0.470164 | + | 0.882579i | ||||
\(251\) | − | 5.62289i | − | 0.354913i | −0.984129 | − | 0.177457i | \(-0.943213\pi\) | ||
0.984129 | − | 0.177457i | \(-0.0567870\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.29868 | − | 3.29868i | −0.207386 | − | 0.207386i | ||||
\(254\) | −17.2849 | − | 5.12586i | −1.08455 | − | 0.321625i | ||||
\(255\) | −8.86009 | + | 15.2564i | −0.554840 | + | 0.955390i | ||||
\(256\) | −10.7356 | + | 11.8637i | −0.670976 | + | 0.741479i | ||||
\(257\) | 4.95043 | + | 1.32646i | 0.308799 | + | 0.0827426i | 0.409891 | − | 0.912135i | \(-0.365567\pi\) |
−0.101091 | + | 0.994877i | \(0.532233\pi\) | |||||||
\(258\) | −5.25386 | − | 0.139211i | −0.327091 | − | 0.00866687i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 13.8847 | − | 12.4225i | 0.861094 | − | 0.770411i | ||||
\(261\) | 11.4045 | + | 19.7533i | 0.705924 | + | 1.22270i | ||||
\(262\) | 13.8628 | − | 22.6062i | 0.856445 | − | 1.39662i | ||||
\(263\) | −2.04237 | − | 7.62222i | −0.125938 | − | 0.470006i | 0.873934 | − | 0.486045i | \(-0.161561\pi\) |
−0.999871 | + | 0.0160390i | \(0.994894\pi\) | |||||||
\(264\) | −12.6111 | − | 4.47907i | −0.776162 | − | 0.275668i | ||||
\(265\) | −4.28521 | + | 4.26346i | −0.263238 | + | 0.261902i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −7.87393 | − | 7.87393i | −0.481877 | − | 0.481877i | ||||
\(268\) | −2.04845 | + | 6.29117i | −0.125129 | + | 0.384294i | ||||
\(269\) | −3.97953 | − | 2.29758i | −0.242636 | − | 0.140086i | 0.373752 | − | 0.927529i | \(-0.378071\pi\) |
−0.616388 | + | 0.787443i | \(0.711405\pi\) | |||||||
\(270\) | −4.63963 | + | 1.09988i | −0.282359 | + | 0.0669365i | ||||
\(271\) | 24.8226 | − | 14.3314i | 1.50787 | − | 0.870568i | 0.507909 | − | 0.861411i | \(-0.330419\pi\) |
0.999958 | − | 0.00915707i | \(-0.00291483\pi\) | |||||||
\(272\) | −9.56565 | + | 7.72644i | −0.580002 | + | 0.468485i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 17.5615 | + | 18.5174i | 1.06093 | + | 1.11868i | ||||
\(275\) | −8.00600 | + | 4.56811i | −0.482780 | + | 0.275468i | ||||
\(276\) | −10.8897 | − | 7.08145i | −0.655480 | − | 0.426253i | ||||
\(277\) | 1.39102 | + | 5.19134i | 0.0835781 | + | 0.311918i | 0.995041 | − | 0.0994644i | \(-0.0317129\pi\) |
−0.911463 | + | 0.411382i | \(0.865046\pi\) | |||||||
\(278\) | 2.96774 | − | 1.61016i | 0.177993 | − | 0.0965707i | ||||
\(279\) | 15.6722 | 0.938270 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 24.2851 | 1.44873 | 0.724365 | − | 0.689417i | \(-0.242133\pi\) | ||||
0.724365 | + | 0.689417i | \(0.242133\pi\) | |||||||
\(282\) | −2.59438 | + | 1.40759i | −0.154493 | + | 0.0838208i | ||||
\(283\) | 2.63588 | + | 9.83724i | 0.156687 | + | 0.584763i | 0.998955 | + | 0.0457044i | \(0.0145532\pi\) |
−0.842268 | + | 0.539059i | \(0.818780\pi\) | |||||||
\(284\) | −17.6580 | − | 11.4829i | −1.04781 | − | 0.681382i | ||||
\(285\) | −7.98851 | + | 29.5130i | −0.473198 | + | 1.74820i | ||||
\(286\) | 7.47389 | + | 7.88074i | 0.441940 | + | 0.465998i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −20.1161 | − | 2.68013i | −1.18535 | − | 0.157928i | ||||
\(289\) | 6.53852 | − | 3.77501i | 0.384619 | − | 0.222060i | ||||
\(290\) | 17.1128 | + | 10.5541i | 1.00490 | + | 0.619756i | ||||
\(291\) | 0.616559 | + | 0.355971i | 0.0361434 | + | 0.0208674i | ||||
\(292\) | −1.26740 | + | 3.89243i | −0.0741691 | + | 0.227787i | ||||
\(293\) | −19.5889 | − | 19.5889i | −1.14440 | − | 1.14440i | −0.987636 | − | 0.156762i | \(-0.949894\pi\) |
−0.156762 | − | 0.987636i | \(-0.550106\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.0240564 | − | 9.45611i | 0.00140062 | − | 0.550556i | ||||
\(296\) | −3.79121 | + | 10.6744i | −0.220360 | + | 0.620438i | ||||
\(297\) | −0.719447 | − | 2.68501i | −0.0417466 | − | 0.155800i | ||||
\(298\) | −8.14644 | + | 13.2845i | −0.471911 | + | 0.769551i | ||||
\(299\) | 5.27100 | + | 9.12965i | 0.304830 | + | 0.527981i | ||||
\(300\) | −19.1714 | + | 17.0648i | −1.10686 | + | 0.985236i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −23.3964 | − | 0.619930i | −1.34631 | − | 0.0356730i | ||||
\(303\) | 18.2192 | + | 4.88183i | 1.04667 | + | 0.280454i | ||||
\(304\) | −12.5471 | + | 17.2245i | −0.719624 | + | 0.987894i | ||||
\(305\) | 23.2269 | + | 13.4889i | 1.32997 | + | 0.772374i | ||||
\(306\) | −14.9526 | − | 4.43422i | −0.854784 | − | 0.253488i | ||||
\(307\) | 20.7290 | + | 20.7290i | 1.18307 | + | 1.18307i | 0.978946 | + | 0.204121i | \(0.0654335\pi\) |
0.204121 | + | 0.978946i | \(0.434567\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 35.0086i | − | 1.99157i | ||||||
\(310\) | 12.1593 | − | 6.55710i | 0.690603 | − | 0.372418i | ||||
\(311\) | −3.76125 | − | 2.17156i | −0.213281 | − | 0.123138i | 0.389554 | − | 0.921003i | \(-0.372629\pi\) |
−0.602835 | + | 0.797866i | \(0.705962\pi\) | |||||||
\(312\) | 24.9078 | + | 17.1528i | 1.41012 | + | 0.971088i | ||||
\(313\) | 2.03128 | − | 7.58085i | 0.114815 | − | 0.428495i | −0.884458 | − | 0.466620i | \(-0.845472\pi\) |
0.999273 | + | 0.0381246i | \(0.0121384\pi\) | |||||||
\(314\) | −5.51948 | − | 5.81993i | −0.311482 | − | 0.328438i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −15.8097 | − | 0.838401i | −0.889364 | − | 0.0471637i | ||||
\(317\) | 2.34276 | + | 0.627741i | 0.131583 | + | 0.0352574i | 0.324009 | − | 0.946054i | \(-0.394969\pi\) |
−0.192427 | + | 0.981311i | \(0.561636\pi\) | |||||||
\(318\) | −8.36484 | − | 5.12956i | −0.469077 | − | 0.287651i | ||||
\(319\) | −5.86050 | + | 10.1507i | −0.328125 | + | 0.568329i | ||||
\(320\) | −16.7285 | + | 6.33700i | −0.935151 | + | 0.354249i | ||||
\(321\) | 11.9867 | 0.669034 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −11.5804 | + | 11.5804i | −0.644349 | + | 0.644349i | ||||
\(324\) | 6.25054 | + | 12.2862i | 0.347252 | + | 0.682569i | ||||
\(325\) | 20.1472 | − | 5.28871i | 1.11757 | − | 0.293365i | ||||
\(326\) | 4.08349 | − | 0.979016i | 0.226163 | − | 0.0542227i | ||||
\(327\) | 6.72992 | − | 25.1164i | 0.372165 | − | 1.38894i | ||||
\(328\) | 2.39055 | − | 30.0171i | 0.131996 | − | 1.65741i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −10.2685 | − | 10.8828i | −0.565264 | − | 0.599080i | ||||
\(331\) | 11.1137 | − | 6.41652i | 0.610866 | − | 0.352684i | −0.162438 | − | 0.986719i | \(-0.551936\pi\) |
0.773304 | + | 0.634035i | \(0.218602\pi\) | |||||||
\(332\) | −0.133357 | − | 0.629320i | −0.00731894 | − | 0.0345384i | ||||
\(333\) | −13.8781 | + | 3.71862i | −0.760515 | + | 0.203779i | ||||
\(334\) | −21.4219 | − | 6.35270i | −1.17216 | − | 0.347605i | ||||
\(335\) | −5.24391 | + | 5.21729i | −0.286505 | + | 0.285051i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 25.1079 | − | 25.1079i | 1.36771 | − | 1.36771i | 0.504022 | − | 0.863691i | \(-0.331853\pi\) |
0.863691 | − | 0.504022i | \(-0.168147\pi\) | |||||||
\(338\) | −2.93723 | − | 5.41371i | −0.159764 | − | 0.294467i | ||||
\(339\) | −13.9824 | + | 24.2182i | −0.759418 | + | 1.31535i | ||||
\(340\) | −13.4563 | + | 2.81573i | −0.729768 | + | 0.152704i | ||||
\(341\) | 4.02677 | + | 6.97457i | 0.218062 | + | 0.377694i | ||||
\(342\) | −27.0193 | − | 0.715927i | −1.46104 | − | 0.0387129i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −2.65688 | − | 3.11668i | −0.143249 | − | 0.168040i | ||||
\(345\) | −7.22943 | − | 12.5956i | −0.389219 | − | 0.678126i | ||||
\(346\) | 2.28877 | + | 9.54650i | 0.123045 | + | 0.513223i | ||||
\(347\) | 4.10753 | − | 1.10061i | 0.220504 | − | 0.0590838i | −0.146876 | − | 0.989155i | \(-0.546922\pi\) |
0.367379 | + | 0.930071i | \(0.380255\pi\) | |||||||
\(348\) | −10.1046 | + | 31.0332i | −0.541664 | + | 1.66355i | ||||
\(349\) | − | 4.09263i | − | 0.219074i | −0.993983 | − | 0.109537i | \(-0.965063\pi\) | ||
0.993983 | − | 0.109537i | \(-0.0349368\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 6.28161i | 0.335288i | ||||||||
\(352\) | −3.97584 | − | 9.64086i | −0.211913 | − | 0.513860i | ||||
\(353\) | 19.3004 | − | 5.17152i | 1.02726 | − | 0.275252i | 0.294433 | − | 0.955672i | \(-0.404869\pi\) |
0.732823 | + | 0.680420i | \(0.238202\pi\) | |||||||
\(354\) | 14.9268 | − | 3.57871i | 0.793352 | − | 0.190206i | ||||
\(355\) | −11.7228 | − | 20.4243i | −0.622182 | − | 1.08401i | ||||
\(356\) | 0.459511 | − | 8.66497i | 0.0243540 | − | 0.459242i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.381195 | + | 14.3864i | −0.0201468 | + | 0.760346i | ||||
\(359\) | 4.85897 | + | 8.41598i | 0.256446 | + | 0.444178i | 0.965287 | − | 0.261190i | \(-0.0841150\pi\) |
−0.708841 | + | 0.705368i | \(0.750782\pi\) | |||||||
\(360\) | −18.6540 | − | 12.9162i | −0.983153 | − | 0.680746i | ||||
\(361\) | −4.69104 | + | 8.12512i | −0.246897 | + | 0.427638i | ||||
\(362\) | −13.4317 | + | 7.28742i | −0.705955 | + | 0.383019i | ||||
\(363\) | −13.7956 | + | 13.7956i | −0.724082 | + | 0.724082i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −3.24447 | + | 3.22801i | −0.169824 | + | 0.168962i | ||||
\(366\) | −12.3961 | + | 41.8010i | −0.647957 | + | 2.18497i | ||||
\(367\) | 14.6748 | − | 3.93209i | 0.766017 | − | 0.205254i | 0.145406 | − | 0.989372i | \(-0.453551\pi\) |
0.620611 | + | 0.784119i | \(0.286885\pi\) | |||||||
\(368\) | −1.57101 | − | 9.99939i | −0.0818947 | − | 0.521254i | ||||
\(369\) | 33.0763 | − | 19.0966i | 1.72188 | − | 0.994129i | ||||
\(370\) | −9.21152 | + | 8.69157i | −0.478884 | + | 0.451853i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 14.9948 | + | 16.6742i | 0.777444 | + | 0.864519i | ||||
\(373\) | 8.35388 | − | 31.1771i | 0.432548 | − | 1.61429i | −0.314320 | − | 0.949317i | \(-0.601777\pi\) |
0.746868 | − | 0.664972i | \(-0.231557\pi\) | |||||||
\(374\) | −1.86853 | − | 7.79365i | −0.0966193 | − | 0.403000i | ||||
\(375\) | −27.7737 | + | 7.21520i | −1.43423 | + | 0.372591i | ||||
\(376\) | −2.16738 | − | 0.769784i | −0.111774 | − | 0.0396986i | ||||
\(377\) | 18.7291 | − | 18.7291i | 0.964600 | − | 0.964600i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 29.2598 | 1.50297 | 0.751487 | − | 0.659747i | \(-0.229337\pi\) | ||||
0.751487 | + | 0.659747i | \(0.229337\pi\) | |||||||
\(380\) | −21.2626 | + | 10.7492i | −1.09075 | + | 0.551421i | ||||
\(381\) | 16.3600 | − | 28.3364i | 0.838150 | − | 1.45172i | ||||
\(382\) | 10.2219 | − | 16.6690i | 0.522998 | − | 0.852861i | ||||
\(383\) | 10.9054 | + | 2.92209i | 0.557240 | + | 0.149312i | 0.526438 | − | 0.850213i | \(-0.323527\pi\) |
0.0308021 | + | 0.999526i | \(0.490194\pi\) | |||||||
\(384\) | −16.3951 | − | 23.9666i | −0.836661 | − | 1.22304i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 7.07757 | − | 6.71218i | 0.360239 | − | 0.341641i | ||||
\(387\) | 1.34444 | − | 5.01753i | 0.0683419 | − | 0.255055i | ||||
\(388\) | 0.115006 | + | 0.542720i | 0.00583856 | + | 0.0275525i | ||||
\(389\) | −33.4554 | − | 19.3155i | −1.69625 | − | 0.979333i | −0.949255 | − | 0.314508i | \(-0.898160\pi\) |
−0.747000 | − | 0.664824i | \(-0.768506\pi\) | |||||||
\(390\) | 16.0489 | + | 29.7608i | 0.812670 | + | 1.50699i | ||||
\(391\) | − | 7.77900i | − | 0.393401i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 34.0310 | + | 34.0310i | 1.71664 | + | 1.71664i | ||||
\(394\) | 4.46583 | − | 15.0592i | 0.224985 | − | 0.758672i | ||||
\(395\) | −15.3066 | − | 8.88926i | −0.770158 | − | 0.447267i | ||||
\(396\) | 7.21092 | − | 11.0888i | 0.362362 | − | 0.557231i | ||||
\(397\) | −8.28877 | − | 2.22097i | −0.416002 | − | 0.111467i | 0.0447462 | − | 0.998998i | \(-0.485752\pi\) |
−0.460748 | + | 0.887531i | \(0.652419\pi\) | |||||||
\(398\) | −0.647137 | + | 24.4232i | −0.0324381 | + | 1.22422i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −19.8768 | − | 2.21645i | −0.993840 | − | 0.110822i | ||||
\(401\) | 1.16330 | + | 2.01489i | 0.0580922 | + | 0.100619i | 0.893609 | − | 0.448846i | \(-0.148165\pi\) |
−0.835517 | + | 0.549465i | \(0.814832\pi\) | |||||||
\(402\) | −10.2362 | − | 6.27716i | −0.510538 | − | 0.313076i | ||||
\(403\) | −4.71033 | − | 17.5792i | −0.234638 | − | 0.875681i | ||||
\(404\) | 6.66459 | + | 13.1001i | 0.331576 | + | 0.651755i | ||||
\(405\) | −0.0392078 | + | 15.4118i | −0.00194825 | + | 0.765821i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −5.22069 | − | 5.22069i | −0.258780 | − | 0.258780i | ||||
\(408\) | −9.58859 | − | 20.1512i | −0.474706 | − | 0.997634i | ||||
\(409\) | −0.162801 | − | 0.0939930i | −0.00804997 | − | 0.00464765i | 0.495970 | − | 0.868340i | \(-0.334813\pi\) |
−0.504020 | + | 0.863692i | \(0.668146\pi\) | |||||||
\(410\) | 17.6725 | − | 28.6550i | 0.872782 | − | 1.41517i | ||||
\(411\) | −40.1112 | + | 23.1582i | −1.97854 | + | 1.14231i | ||||
\(412\) | 20.2844 | − | 18.2413i | 0.999339 | − | 0.898685i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 9.31545 | − | 8.83453i | 0.457829 | − | 0.434193i | ||||
\(415\) | 0.187916 | − | 0.694242i | 0.00922443 | − | 0.0340790i | ||||
\(416\) | 3.03971 | + | 23.3694i | 0.149034 | + | 1.14578i | ||||
\(417\) | 1.58597 | + | 5.91892i | 0.0776652 | + | 0.289851i | ||||
\(418\) | −6.62366 | − | 12.2083i | −0.323974 | − | 0.597128i | ||||
\(419\) | 13.0861 | 0.639297 | 0.319648 | − | 0.947536i | \(-0.396435\pi\) | ||||
0.319648 | + | 0.947536i | \(0.396435\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.33535 | 0.162555 | 0.0812776 | − | 0.996692i | \(-0.474100\pi\) | ||||
0.0812776 | + | 0.996692i | \(0.474100\pi\) | |||||||
\(422\) | −12.5941 | − | 23.2127i | −0.613072 | − | 1.12997i | ||||
\(423\) | −0.755046 | − | 2.81787i | −0.0367116 | − | 0.137009i | ||||
\(424\) | −1.38640 | − | 7.51944i | −0.0673295 | − | 0.365177i | ||||
\(425\) | −14.8262 | − | 4.05364i | −0.719178 | − | 0.196630i | ||||
\(426\) | 27.7371 | − | 26.3051i | 1.34387 | − | 1.27449i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 6.24571 | + | 6.94524i | 0.301898 | + | 0.335711i | ||||
\(429\) | −17.0707 | + | 9.85579i | −0.824183 | + | 0.475842i | ||||
\(430\) | −1.05620 | − | 4.45537i | −0.0509343 | − | 0.214857i | ||||
\(431\) | 2.08778 | + | 1.20538i | 0.100565 | + | 0.0580612i | 0.549439 | − | 0.835534i | \(-0.314841\pi\) |
−0.448874 | + | 0.893595i | \(0.648175\pi\) | |||||||
\(432\) | 2.16845 | − | 5.62808i | 0.104329 | − | 0.270781i | ||||
\(433\) | −0.313016 | − | 0.313016i | −0.0150426 | − | 0.0150426i | 0.699545 | − | 0.714588i | \(-0.253386\pi\) |
−0.714588 | + | 0.699545i | \(0.753386\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −25.8672 | + | 25.7360i | −1.24024 | + | 1.23394i | ||||
\(436\) | 18.0593 | − | 9.18756i | 0.864886 | − | 0.440005i | ||||
\(437\) | −3.48921 | − | 13.0219i | −0.166911 | − | 0.622922i | ||||
\(438\) | −6.33330 | − | 3.88376i | −0.302617 | − | 0.185573i | ||||
\(439\) | −11.2300 | − | 19.4509i | −0.535978 | − | 0.928341i | −0.999115 | − | 0.0420543i | \(-0.986610\pi\) |
0.463138 | − | 0.886286i | \(-0.346724\pi\) | |||||||
\(440\) | 0.955185 | − | 11.6202i | 0.0455367 | − | 0.553972i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.479719 | + | 18.1048i | −0.0228179 | + | 0.861155i | ||||
\(443\) | 16.8498 | + | 4.51489i | 0.800559 | + | 0.214509i | 0.635829 | − | 0.771830i | \(-0.280658\pi\) |
0.164730 | + | 0.986339i | \(0.447325\pi\) | |||||||
\(444\) | −17.2346 | − | 11.2075i | −0.817919 | − | 0.531886i | ||||
\(445\) | 4.87203 | − | 8.38924i | 0.230956 | − | 0.397688i | ||||
\(446\) | 6.29765 | − | 21.2363i | 0.298202 | − | 1.00557i | ||||
\(447\) | −19.9983 | − | 19.9983i | −0.945886 | − | 0.945886i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 24.3525i | 1.14927i | 0.818411 | + | 0.574633i | \(0.194855\pi\) | ||||
−0.818411 | + | 0.574633i | \(0.805145\pi\) | |||||||
\(450\) | −11.9837 | − | 22.3583i | −0.564918 | − | 1.05398i | ||||
\(451\) | 16.9970 | + | 9.81325i | 0.800360 | + | 0.462088i | ||||
\(452\) | −21.3178 | + | 4.51740i | −1.00271 | + | 0.212481i | ||||
\(453\) | 10.9937 | − | 41.0289i | 0.516528 | − | 1.92771i | ||||
\(454\) | 2.69399 | − | 2.55491i | 0.126435 | − | 0.119908i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −25.0898 | − | 29.4319i | −1.17494 | − | 1.37827i | ||||
\(457\) | 13.4678 | + | 3.60868i | 0.629996 | + | 0.168807i | 0.559668 | − | 0.828717i | \(-0.310929\pi\) |
0.0703280 | + | 0.997524i | \(0.477595\pi\) | |||||||
\(458\) | −1.50283 | + | 2.45068i | −0.0702224 | + | 0.114513i | ||||
\(459\) | 2.31762 | − | 4.01423i | 0.108177 | − | 0.187368i | ||||
\(460\) | 3.53113 | − | 10.7518i | 0.164640 | − | 0.501305i | ||||
\(461\) | 15.8798 | 0.739597 | 0.369799 | − | 0.929112i | \(-0.379427\pi\) | ||||
0.369799 | + | 0.929112i | \(0.379427\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −21.2388 | + | 21.2388i | −0.987052 | + | 0.987052i | −0.999917 | − | 0.0128649i | \(-0.995905\pi\) |
0.0128649 | + | 0.999917i | \(0.495905\pi\) | |||||||
\(464\) | −23.2460 | + | 10.3152i | −1.07917 | + | 0.478871i | ||||
\(465\) | 6.42742 | + | 24.2339i | 0.298064 | + | 1.12382i | ||||
\(466\) | 4.59361 | + | 19.1600i | 0.212795 | + | 0.887568i | ||||
\(467\) | 6.12778 | − | 22.8692i | 0.283560 | − | 1.05826i | −0.666325 | − | 0.745661i | \(-0.732134\pi\) |
0.949885 | − | 0.312599i | \(-0.101200\pi\) | |||||||
\(468\) | −22.2255 | + | 19.9869i | −1.02737 | + | 0.923896i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −1.76477 | − | 1.87035i | −0.0814029 | − | 0.0862727i | ||||
\(471\) | 12.6068 | − | 7.27851i | 0.580889 | − | 0.335376i | ||||
\(472\) | 9.85120 | + | 6.78407i | 0.453438 | + | 0.312262i | ||||
\(473\) | 2.57838 | − | 0.690874i | 0.118554 | − | 0.0317664i | ||||
\(474\) | 8.16911 | − | 27.5470i | 0.375220 | − | 1.26528i | ||||
\(475\) | −26.6371 | − | 0.135530i | −1.22219 | − | 0.00621856i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 6.85764 | − | 6.85764i | 0.313990 | − | 0.313990i | ||||
\(478\) | 12.0936 | − | 6.56143i | 0.553149 | − | 0.300113i | ||||
\(479\) | 11.7318 | − | 20.3200i | 0.536038 | − | 0.928445i | −0.463074 | − | 0.886319i | \(-0.653254\pi\) |
0.999112 | − | 0.0421254i | \(-0.0134129\pi\) | |||||||
\(480\) | −4.10565 | − | 32.2047i | −0.187397 | − | 1.46994i | ||||
\(481\) | 8.34221 | + | 14.4491i | 0.380372 | + | 0.658823i | ||||
\(482\) | −0.597324 | + | 22.5432i | −0.0272073 | + | 1.02682i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −15.1816 | − | 0.805092i | −0.690071 | − | 0.0365951i | ||||
\(485\) | −0.162057 | + | 0.598709i | −0.00735864 | + | 0.0271860i | ||||
\(486\) | −30.5491 | + | 7.32416i | −1.38574 | + | 0.332231i | ||||
\(487\) | 7.94369 | − | 2.12851i | 0.359963 | − | 0.0964518i | −0.0743048 | − | 0.997236i | \(-0.523674\pi\) |
0.434268 | + | 0.900784i | \(0.357007\pi\) | |||||||
\(488\) | −30.6790 | + | 14.5980i | −1.38877 | + | 0.660822i | ||||
\(489\) | 7.62100i | 0.344633i | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 25.5075i | 1.15114i | 0.817753 | + | 0.575569i | \(0.195219\pi\) | ||||
−0.817753 | + | 0.575569i | \(0.804781\pi\) | |||||||
\(492\) | 51.9642 | + | 16.9199i | 2.34273 | + | 0.762808i | ||||
\(493\) | −18.8789 | + | 5.05859i | −0.850264 | + | 0.227827i | ||||
\(494\) | 7.31770 | + | 30.5222i | 0.329239 | + | 1.37326i | ||||
\(495\) | 12.8259 | − | 7.36160i | 0.576482 | − | 0.330880i | ||||
\(496\) | −1.84816 | + | 17.3763i | −0.0829847 | + | 0.780219i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 1.16708 | + | 0.0309240i | 0.0522983 | + | 0.00138574i | ||||
\(499\) | −12.2280 | − | 21.1796i | −0.547402 | − | 0.948128i | −0.998451 | − | 0.0556294i | \(-0.982283\pi\) |
0.451049 | − | 0.892499i | \(-0.351050\pi\) | |||||||
\(500\) | −18.6521 | − | 12.3329i | −0.834147 | − | 0.551542i | ||||
\(501\) | 20.2757 | − | 35.1186i | 0.905853 | − | 1.56898i | ||||
\(502\) | 3.79218 | + | 6.98950i | 0.169253 | + | 0.311957i | ||||
\(503\) | −18.7502 | + | 18.7502i | −0.836032 | + | 0.836032i | −0.988334 | − | 0.152302i | \(-0.951331\pi\) |
0.152302 | + | 0.988334i | \(0.451331\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.0418050 | + | 16.4327i | −0.00186030 | + | 0.731248i | ||||
\(506\) | 6.32510 | + | 1.87572i | 0.281185 | + | 0.0833858i | ||||
\(507\) | 10.7972 | − | 2.89311i | 0.479522 | − | 0.128487i | ||||
\(508\) | 24.9429 | − | 5.28557i | 1.10666 | − | 0.234509i | ||||
\(509\) | −16.5443 | + | 9.55184i | −0.733312 | + | 0.423378i | −0.819633 | − | 0.572889i | \(-0.805822\pi\) |
0.0863205 | + | 0.996267i | \(0.472489\pi\) | |||||||
\(510\) | 0.724319 | − | 24.9397i | 0.0320734 | − | 1.10435i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 5.34377 | − | 21.9874i | 0.236163 | − | 0.971713i | ||||
\(513\) | 2.07910 | − | 7.75929i | 0.0917943 | − | 0.342581i | ||||
\(514\) | −7.04820 | + | 1.68981i | −0.310883 | + | 0.0745342i | ||||
\(515\) | 29.4807 | − | 7.81901i | 1.29908 | − | 0.344547i | ||||
\(516\) | 6.62467 | − | 3.37025i | 0.291635 | − | 0.148367i | ||||
\(517\) | 1.06003 | − | 1.06003i | 0.0466201 | − | 0.0466201i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −17.8166 | −0.782062 | ||||||||
\(520\) | −8.88137 | + | 24.8058i | −0.389474 | + | 1.08781i | ||||
\(521\) | 5.20016 | − | 9.00694i | 0.227823 | − | 0.394601i | −0.729340 | − | 0.684152i | \(-0.760173\pi\) |
0.957163 | + | 0.289551i | \(0.0935059\pi\) | |||||||
\(522\) | −27.4983 | − | 16.8627i | −1.20357 | − | 0.738062i | ||||
\(523\) | 4.07897 | + | 1.09296i | 0.178361 | + | 0.0477917i | 0.346894 | − | 0.937904i | \(-0.387236\pi\) |
−0.168533 | + | 0.985696i | \(0.553903\pi\) | |||||||
\(524\) | −1.98600 | + | 37.4499i | −0.0867588 | + | 1.63600i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 7.67932 | + | 8.09735i | 0.334834 | + | 0.353061i | ||||
\(527\) | −3.47577 | + | 12.9718i | −0.151407 | + | 0.565059i | ||||
\(528\) | 18.6970 | − | 2.93750i | 0.813682 | − | 0.127838i | ||||
\(529\) | −14.3730 | − | 8.29825i | −0.624913 | − | 0.360794i | ||||
\(530\) | 2.45135 | − | 8.18969i | 0.106480 | − | 0.355738i | ||||
\(531\) | 15.1712i | 0.658372i | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −31.3614 | − | 31.3614i | −1.35841 | − | 1.35841i | ||||
\(534\) | 15.0980 | + | 4.47733i | 0.653353 | + | 0.193753i | ||||
\(535\) | 2.67718 | + | 10.0940i | 0.115745 | + | 0.436402i | ||||
\(536\) | −1.69657 | − | 9.20172i | −0.0732806 | − | 0.397454i | ||||
\(537\) | −25.2286 | − | 6.75999i | −1.08870 | − | 0.291715i | ||||
\(538\) | 6.49626 | + | 0.172130i | 0.280074 | + | 0.00742106i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 5.02549 | − | 4.49625i | 0.216263 | − | 0.193488i | ||||
\(541\) | 0.191927 | + | 0.332427i | 0.00825157 | + | 0.0142921i | 0.870122 | − | 0.492837i | \(-0.164040\pi\) |
−0.861870 | + | 0.507129i | \(0.830707\pi\) | |||||||
\(542\) | −21.1903 | + | 34.5553i | −0.910202 | + | 1.48428i | ||||
\(543\) | −7.17796 | − | 26.7885i | −0.308036 | − | 1.14960i | ||||
\(544\) | 6.67967 | − | 16.0556i | 0.286389 | − | 0.688377i | ||||
\(545\) | 22.6536 | + | 0.0576308i | 0.970374 | + | 0.00246863i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 0.879876 | + | 0.879876i | 0.0376208 | + | 0.0376208i | 0.725667 | − | 0.688046i | \(-0.241531\pi\) |
−0.688046 | + | 0.725667i | \(0.741531\pi\) | |||||||
\(548\) | −34.3182 | − | 11.1742i | −1.46600 | − | 0.477339i | ||||
\(549\) | −37.3195 | − | 21.5464i | −1.59276 | − | 0.919578i | ||||
\(550\) | 6.87100 | − | 11.0778i | 0.292980 | − | 0.472357i | ||||
\(551\) | −29.3340 | + | 16.9360i | −1.24967 | + | 0.721497i | ||||
\(552\) | 18.3122 | + | 1.45838i | 0.779419 | + | 0.0620726i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −5.23023 | − | 5.51494i | −0.222211 | − | 0.234308i | ||||
\(555\) | −11.4417 | − | 19.9346i | −0.485674 | − | 0.846177i | ||||
\(556\) | −2.60311 | + | 4.00299i | −0.110396 | + | 0.169765i | ||||
\(557\) | 10.0638 | + | 37.5586i | 0.426417 | + | 1.59141i | 0.760810 | + | 0.648975i | \(0.224802\pi\) |
−0.334394 | + | 0.942434i | \(0.608531\pi\) | |||||||
\(558\) | −19.4812 | + | 10.5696i | −0.824707 | + | 0.447448i | ||||
\(559\) | −6.03213 | −0.255132 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 14.5453 | 0.614102 | ||||||||
\(562\) | −30.1875 | + | 16.3783i | −1.27338 | + | 0.690879i | ||||
\(563\) | −2.44907 | − | 9.14007i | −0.103216 | − | 0.385208i | 0.894921 | − | 0.446225i | \(-0.147232\pi\) |
−0.998137 | + | 0.0610177i | \(0.980565\pi\) | |||||||
\(564\) | 2.27563 | − | 3.49939i | 0.0958211 | − | 0.147351i | ||||
\(565\) | −23.5170 | − | 6.36553i | −0.989368 | − | 0.267800i | ||||
\(566\) | −9.91093 | − | 10.4504i | −0.416587 | − | 0.439265i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 29.6940 | + | 2.36481i | 1.24593 | + | 0.0992254i | ||||
\(569\) | 31.4026 | − | 18.1303i | 1.31647 | − | 0.760062i | 0.333308 | − | 0.942818i | \(-0.391835\pi\) |
0.983158 | + | 0.182756i | \(0.0585017\pi\) | |||||||
\(570\) | −9.97402 | − | 42.0736i | −0.417766 | − | 1.76227i | ||||
\(571\) | −41.2518 | − | 23.8167i | −1.72633 | − | 0.996699i | −0.903759 | − | 0.428042i | \(-0.859203\pi\) |
−0.822575 | − | 0.568657i | \(-0.807463\pi\) | |||||||
\(572\) | −14.6053 | − | 4.75558i | −0.610678 | − | 0.198841i | ||||
\(573\) | 25.0932 | + | 25.0932i | 1.04828 | + | 1.04828i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 8.99212 | − | 8.90108i | 0.374997 | − | 0.371201i | ||||
\(576\) | 26.8128 | − | 10.2352i | 1.11720 | − | 0.426465i | ||||
\(577\) | 11.7901 | + | 44.0011i | 0.490827 | + | 1.83179i | 0.552251 | + | 0.833678i | \(0.313769\pi\) |
−0.0614241 | + | 0.998112i | \(0.519564\pi\) | |||||||
\(578\) | −5.58173 | + | 9.10221i | −0.232169 | + | 0.378602i | ||||
\(579\) | 8.85133 | + | 15.3310i | 0.367849 | + | 0.637133i | ||||
\(580\) | −28.3899 | − | 1.57798i | −1.17882 | − | 0.0655219i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −1.00648 | − | 0.0266686i | −0.0417201 | − | 0.00110545i | ||||
\(583\) | 4.81383 | + | 1.28986i | 0.199368 | + | 0.0534206i | ||||
\(584\) | −1.04969 | − | 5.69322i | −0.0434364 | − | 0.235587i | ||||
\(585\) | −32.3019 | + | 8.56725i | −1.33552 | + | 0.354212i | ||||
\(586\) | 37.5611 | + | 11.1388i | 1.55163 | + | 0.460139i | ||||
\(587\) | −15.9943 | − | 15.9943i | −0.660155 | − | 0.660155i | 0.295261 | − | 0.955417i | \(-0.404593\pi\) |
−0.955417 | + | 0.295261i | \(0.904593\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 23.2735i | 0.958968i | ||||||||
\(590\) | 6.34747 | + | 11.7706i | 0.261321 | + | 0.484588i | ||||
\(591\) | 24.6877 | + | 14.2535i | 1.01552 | + | 0.586309i | ||||
\(592\) | −2.48638 | − | 15.8256i | −0.102189 | − | 0.650430i | ||||
\(593\) | 1.72753 | − | 6.44723i | 0.0709412 | − | 0.264756i | −0.921341 | − | 0.388755i | \(-0.872905\pi\) |
0.992282 | + | 0.123999i | \(0.0395719\pi\) | |||||||
\(594\) | 2.70513 | + | 2.85238i | 0.110993 | + | 0.117035i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 1.16707 | − | 22.0074i | 0.0478050 | − | 0.901457i | ||||
\(597\) | −42.8295 | − | 11.4761i | −1.75290 | − | 0.469687i | ||||
\(598\) | −12.7093 | − | 7.79370i | −0.519722 | − | 0.318708i | ||||
\(599\) | 16.9948 | − | 29.4358i | 0.694387 | − | 1.20271i | −0.276000 | − | 0.961158i | \(-0.589009\pi\) |
0.970387 | − | 0.241555i | \(-0.0776576\pi\) | |||||||
\(600\) | 12.3221 | − | 34.1418i | 0.503046 | − | 1.39383i | ||||
\(601\) | −32.7782 | −1.33705 | −0.668526 | − | 0.743689i | \(-0.733074\pi\) | ||||
−0.668526 | + | 0.743689i | \(0.733074\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 8.39185 | − | 8.39185i | 0.341743 | − | 0.341743i | ||||
\(604\) | 29.5009 | − | 15.0084i | 1.20037 | − | 0.610682i | ||||
\(605\) | −14.6985 | − | 8.53610i | −0.597578 | − | 0.347042i | ||||
\(606\) | −25.9397 | + | 6.21905i | −1.05373 | + | 0.252632i | ||||
\(607\) | −5.43419 | + | 20.2807i | −0.220567 | + | 0.823167i | 0.763565 | + | 0.645731i | \(0.223447\pi\) |
−0.984132 | + | 0.177436i | \(0.943220\pi\) | |||||||
\(608\) | 3.98005 | − | 29.8728i | 0.161412 | − | 1.21150i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −37.9692 | − | 1.10273i | −1.53733 | − | 0.0446483i | ||||
\(611\) | −2.93381 | + | 1.69384i | −0.118689 | + | 0.0685254i | ||||
\(612\) | 21.5773 | − | 4.57238i | 0.872210 | − | 0.184828i | ||||
\(613\) | 28.2904 | − | 7.58040i | 1.14264 | − | 0.306169i | 0.362628 | − | 0.931934i | \(-0.381880\pi\) |
0.780012 | + | 0.625765i | \(0.215213\pi\) | |||||||
\(614\) | −39.7471 | − | 11.7871i | −1.60406 | − | 0.475687i | ||||
\(615\) | 43.0941 | + | 43.3140i | 1.73772 | + | 1.74659i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −27.0214 | + | 27.0214i | −1.08784 | + | 1.08784i | −0.0920892 | + | 0.995751i | \(0.529354\pi\) |
−0.995751 | + | 0.0920892i | \(0.970646\pi\) | |||||||
\(618\) | 23.6104 | + | 43.5173i | 0.949751 | + | 1.75052i | ||||
\(619\) | −6.44385 | + | 11.1611i | −0.259000 | + | 0.448601i | −0.965974 | − | 0.258638i | \(-0.916726\pi\) |
0.706974 | + | 0.707239i | \(0.250060\pi\) | |||||||
\(620\) | −10.6924 | + | 16.3512i | −0.429415 | + | 0.656681i | ||||
\(621\) | 1.90781 | + | 3.30442i | 0.0765577 | + | 0.132602i | ||||
\(622\) | 6.13994 | + | 0.162689i | 0.246189 | + | 0.00652323i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −42.5297 | − | 4.52349i | −1.70255 | − | 0.181085i | ||||
\(625\) | −12.2790 | − | 21.7767i | −0.491162 | − | 0.871068i | ||||
\(626\) | 2.58769 | + | 10.7933i | 0.103425 | + | 0.431386i | ||||
\(627\) | 24.3485 | − | 6.52416i | 0.972386 | − | 0.260550i | ||||
\(628\) | 10.7860 | + | 3.51200i | 0.430409 | + | 0.140144i | ||||
\(629\) | − | 12.3115i | − | 0.490892i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 35.1539i | 1.39945i | 0.714410 | + | 0.699727i | \(0.246695\pi\) | ||||
−0.714410 | + | 0.699727i | \(0.753305\pi\) | |||||||
\(632\) | 20.2176 | − | 9.62016i | 0.804212 | − | 0.382670i | ||||
\(633\) | 46.2958 | − | 12.4049i | 1.84009 | − | 0.493052i | ||||
\(634\) | −3.33552 | + | 0.799690i | −0.132470 | + | 0.0317598i | ||||
\(635\) | 27.5160 | + | 7.44798i | 1.09194 | + | 0.295564i | ||||
\(636\) | 13.8573 | + | 0.734867i | 0.549479 | + | 0.0291394i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0.439057 | − | 16.5702i | 0.0173824 | − | 0.656020i | ||||
\(639\) | 18.8910 | + | 32.7202i | 0.747318 | + | 1.29439i | ||||
\(640\) | 16.5205 | − | 19.1592i | 0.653029 | − | 0.757333i | ||||
\(641\) | −4.98684 | + | 8.63746i | −0.196968 | + | 0.341159i | −0.947544 | − | 0.319625i | \(-0.896443\pi\) |
0.750576 | + | 0.660784i | \(0.229776\pi\) | |||||||
\(642\) | −14.9000 | + | 8.08407i | −0.588057 | + | 0.319053i | ||||
\(643\) | 25.3846 | − | 25.3846i | 1.00107 | − | 1.00107i | 0.00107009 | − | 0.999999i | \(-0.499659\pi\) |
0.999999 | − | 0.00107009i | \(-0.000340620\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 8.30997 | + | 0.0211406i | 0.327205 | + | 0.000832410i | ||||
\(646\) | 6.58490 | − | 22.2049i | 0.259080 | − | 0.873641i | ||||
\(647\) | 1.94812 | − | 0.521998i | 0.0765886 | − | 0.0205218i | −0.220321 | − | 0.975427i | \(-0.570711\pi\) |
0.296910 | + | 0.954906i | \(0.404044\pi\) | |||||||
\(648\) | −16.0558 | − | 11.0569i | −0.630730 | − | 0.434355i | ||||
\(649\) | −6.75159 | + | 3.89803i | −0.265023 | + | 0.153011i | ||||
\(650\) | −21.4771 | + | 20.1617i | −0.842400 | + | 0.790808i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −4.41569 | + | 3.97094i | −0.172932 | + | 0.155514i | ||||
\(653\) | −3.42196 | + | 12.7709i | −0.133912 | + | 0.499766i | −1.00000 | 0.000125665i | \(-0.999960\pi\) | |
0.866088 | + | 0.499891i | \(0.166627\pi\) | |||||||
\(654\) | 8.57337 | + | 35.7596i | 0.335245 | + | 1.39831i | ||||
\(655\) | −21.0568 | + | 36.2582i | −0.822759 | + | 1.41672i | ||||
\(656\) | 17.2725 | + | 38.9248i | 0.674378 | + | 1.51976i | ||||
\(657\) | 5.19215 | − | 5.19215i | 0.202565 | − | 0.202565i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 43.1794 | 1.68203 | 0.841015 | − | 0.541011i | \(-0.181958\pi\) | ||||
0.841015 | + | 0.541011i | \(0.181958\pi\) | |||||||
\(660\) | 20.1038 | + | 6.60256i | 0.782541 | + | 0.257004i | ||||
\(661\) | −8.09021 | + | 14.0127i | −0.314673 | + | 0.545029i | −0.979368 | − | 0.202085i | \(-0.935228\pi\) |
0.664695 | + | 0.747115i | \(0.268561\pi\) | |||||||
\(662\) | −9.48746 | + | 15.4713i | −0.368741 | + | 0.601310i | ||||
\(663\) | −31.7493 | − | 8.50719i | −1.23304 | − | 0.330392i | ||||
\(664\) | 0.590194 | + | 0.692334i | 0.0229040 | + | 0.0268678i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 14.7432 | − | 13.9821i | 0.571287 | − | 0.541794i | ||||
\(667\) | 4.16412 | − | 15.5407i | 0.161235 | − | 0.601738i | ||||
\(668\) | 30.9128 | − | 6.55064i | 1.19605 | − | 0.253452i | ||||
\(669\) | 34.8142 | + | 20.1000i | 1.34600 | + | 0.777111i | ||||
\(670\) | 2.99977 | − | 10.0219i | 0.115891 | − | 0.387180i | ||||
\(671\) | − | 22.1443i | − | 0.854870i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −9.53669 | − | 9.53669i | −0.367612 | − | 0.367612i | 0.498993 | − | 0.866606i | \(-0.333703\pi\) |
−0.866606 | + | 0.498993i | \(0.833703\pi\) | |||||||
\(674\) | −14.2770 | + | 48.1434i | −0.549929 | + | 1.85441i | ||||
\(675\) | 7.29216 | − | 1.91421i | 0.280675 | − | 0.0736782i | ||||
\(676\) | 7.30221 | + | 4.74857i | 0.280854 | + | 0.182637i | ||||
\(677\) | 29.5915 | + | 7.92901i | 1.13729 | + | 0.304737i | 0.777862 | − | 0.628435i | \(-0.216304\pi\) |
0.359431 | + | 0.933172i | \(0.382971\pi\) | |||||||
\(678\) | 1.04753 | − | 39.5342i | 0.0402302 | − | 1.51830i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 14.8278 | − | 12.5752i | 0.568619 | − | 0.482238i | ||||
\(681\) | 3.36915 | + | 5.83554i | 0.129106 | + | 0.223618i | ||||
\(682\) | −9.70923 | − | 5.95397i | −0.371786 | − | 0.227989i | ||||
\(683\) | 5.39248 | + | 20.1250i | 0.206338 | + | 0.770062i | 0.989038 | + | 0.147663i | \(0.0471752\pi\) |
−0.782700 | + | 0.622399i | \(0.786158\pi\) | |||||||
\(684\) | 34.0691 | − | 17.3324i | 1.30266 | − | 0.662721i | ||||
\(685\) | −28.4602 | − | 28.6054i | −1.08741 | − | 1.09296i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −3.68921 | − | 3.68921i | −0.140752 | − | 0.140752i | ||||
\(688\) | 5.40456 | + | 2.08233i | 0.206047 | + | 0.0793879i | ||||
\(689\) | −9.75316 | − | 5.63099i | −0.371566 | − | 0.214524i | ||||
\(690\) | 17.4812 | + | 10.7813i | 0.665499 | + | 0.410436i | ||||
\(691\) | −5.07142 | + | 2.92798i | −0.192926 | + | 0.111386i | −0.593352 | − | 0.804943i | \(-0.702196\pi\) |
0.400426 | + | 0.916329i | \(0.368862\pi\) | |||||||
\(692\) | −9.28338 | − | 10.3231i | −0.352901 | − | 0.392427i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −4.36357 | + | 4.13830i | −0.165639 | + | 0.157088i | ||||
\(695\) | −4.63010 | + | 2.65751i | −0.175630 | + | 0.100805i | ||||
\(696\) | −8.36886 | − | 45.3904i | −0.317221 | − | 1.72052i | ||||
\(697\) | 8.47047 | + | 31.6122i | 0.320842 | + | 1.19740i | ||||
\(698\) | 2.76015 | + | 5.08733i | 0.104473 | + | 0.192558i | ||||
\(699\) | −35.7582 | −1.35250 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 20.0349 | 0.756706 | 0.378353 | − | 0.925661i | \(-0.376491\pi\) | ||||
0.378353 | + | 0.925661i | \(0.376491\pi\) | |||||||
\(702\) | −4.23643 | − | 7.80832i | −0.159894 | − | 0.294706i | ||||
\(703\) | −5.52223 | − | 20.6092i | −0.208275 | − | 0.777292i | ||||
\(704\) | 11.4441 | + | 9.30264i | 0.431317 | + | 0.350607i | ||||
\(705\) | 4.04761 | − | 2.32318i | 0.152442 | − | 0.0874960i | ||||
\(706\) | −20.5035 | + | 19.4450i | −0.771658 | + | 0.731821i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −16.1412 | + | 14.5154i | −0.606622 | + | 0.545523i | ||||
\(709\) | −42.7844 | + | 24.7016i | −1.60680 | + | 0.927688i | −0.616723 | + | 0.787180i | \(0.711540\pi\) |
−0.990080 | + | 0.140508i | \(0.955126\pi\) | |||||||
\(710\) | 28.3465 | + | 17.4823i | 1.06383 | + | 0.656098i | ||||
\(711\) | 24.5937 | + | 14.1992i | 0.922335 | + | 0.532510i | ||||
\(712\) | 5.27262 | + | 11.0808i | 0.197600 | + | 0.415272i | ||||
\(713\) | −7.81688 | − | 7.81688i | −0.292744 | − | 0.292744i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −12.1122 | − | 12.1740i | −0.452972 | − | 0.455282i | ||||
\(716\) | −9.22863 | − | 18.1401i | −0.344890 | − | 0.677926i | ||||
\(717\) | 6.46287 | + | 24.1198i | 0.241360 | + | 0.900769i | ||||
\(718\) | −11.7158 | − | 7.18446i | −0.437230 | − | 0.268122i | ||||
\(719\) | 12.1477 | + | 21.0405i | 0.453033 | + | 0.784677i | 0.998573 | − | 0.0534084i | \(-0.0170085\pi\) |
−0.545539 | + | 0.838085i | \(0.683675\pi\) | |||||||
\(720\) | 31.8987 | + | 3.47487i | 1.18880 | + | 0.129501i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0.351443 | − | 13.2636i | 0.0130794 | − | 0.493620i | ||||
\(723\) | −39.5327 | − | 10.5928i | −1.47024 | − | 0.393949i | ||||
\(724\) | 11.7815 | − | 18.1172i | 0.437854 | − | 0.673320i | ||||
\(725\) | −27.4496 | − | 16.0348i | −1.01945 | − | 0.595517i | ||||
\(726\) | 7.84456 | − | 26.4526i | 0.291139 | − | 0.981748i | ||||
\(727\) | −15.7313 | − | 15.7313i | −0.583441 | − | 0.583441i | 0.352406 | − | 0.935847i | \(-0.385364\pi\) |
−0.935847 | + | 0.352406i | \(0.885364\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | − | 36.3365i | − | 1.34580i | ||||||
\(730\) | 1.85600 | − | 6.20069i | 0.0686936 | − | 0.229498i | ||||
\(731\) | 3.85480 | + | 2.22557i | 0.142575 | + | 0.0823157i | ||||
\(732\) | −12.7824 | − | 60.3207i | −0.472451 | − | 2.22952i | ||||
\(733\) | −7.41199 | + | 27.6619i | −0.273768 | + | 1.02172i | 0.682895 | + | 0.730517i | \(0.260721\pi\) |
−0.956663 | + | 0.291199i | \(0.905946\pi\) | |||||||
\(734\) | −15.5895 | + | 14.7847i | −0.575420 | + | 0.545713i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 8.69661 | + | 11.3702i | 0.320561 | + | 0.419110i | ||||
\(737\) | 5.89079 | + | 1.57843i | 0.216990 | + | 0.0581423i | ||||
\(738\) | −28.2362 | + | 46.0452i | −1.03939 | + | 1.69495i | ||||
\(739\) | −4.43514 | + | 7.68188i | −0.163149 | + | 0.282583i | −0.935996 | − | 0.352009i | \(-0.885498\pi\) |
0.772847 | + | 0.634592i | \(0.218832\pi\) | |||||||
\(740\) | 5.58858 | − | 17.0164i | 0.205440 | − | 0.625536i | ||||
\(741\) | −56.9635 | −2.09261 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −10.5849 | + | 10.5849i | −0.388323 | + | 0.388323i | −0.874089 | − | 0.485766i | \(-0.838541\pi\) |
0.485766 | + | 0.874089i | \(0.338541\pi\) | |||||||
\(744\) | −29.8846 | − | 10.6141i | −1.09562 | − | 0.389130i | ||||
\(745\) | 12.3740 | − | 21.3071i | 0.453349 | − | 0.780630i | ||||
\(746\) | 10.6422 | + | 44.3885i | 0.389637 | + | 1.62518i | ||||
\(747\) | −0.298652 | + | 1.11459i | −0.0109271 | + | 0.0407806i | ||||
\(748\) | 7.57884 | + | 8.42768i | 0.277110 | + | 0.308147i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 29.6578 | − | 27.6999i | 1.08295 | − | 1.01146i | ||||
\(751\) | −26.2007 | + | 15.1270i | −0.956078 | + | 0.551992i | −0.894964 | − | 0.446139i | \(-0.852799\pi\) |
−0.0611139 | + | 0.998131i | \(0.519465\pi\) | |||||||
\(752\) | 3.21331 | − | 0.504845i | 0.117177 | − | 0.0184098i | ||||
\(753\) | −13.9400 | + | 3.73521i | −0.508002 | + | 0.136119i | ||||
\(754\) | −10.6499 | + | 35.9124i | −0.387846 | + | 1.30785i | ||||
\(755\) | 37.0058 | + | 0.0941429i | 1.34678 | + | 0.00342621i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −18.0236 | + | 18.0236i | −0.655078 | + | 0.655078i | −0.954211 | − | 0.299133i | \(-0.903302\pi\) |
0.299133 | + | 0.954211i | \(0.403302\pi\) | |||||||
\(758\) | −36.3712 | + | 19.7333i | −1.32106 | + | 0.716747i | ||||
\(759\) | −5.98667 | + | 10.3692i | −0.217302 | + | 0.376378i | ||||
\(760\) | 19.1809 | − | 27.7016i | 0.695764 | − | 1.00484i | ||||
\(761\) | −12.9621 | − | 22.4510i | −0.469875 | − | 0.813848i | 0.529532 | − | 0.848290i | \(-0.322368\pi\) |
−0.999407 | + | 0.0344427i | \(0.989034\pi\) | |||||||
\(762\) | −1.22566 | + | 46.2569i | −0.0444010 | + | 1.67571i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −1.46440 | + | 27.6142i | −0.0529803 | + | 0.999046i | ||||
\(765\) | 23.8033 | + | 6.44301i | 0.860609 | + | 0.232948i | ||||
\(766\) | −15.5266 | + | 3.72251i | −0.561000 | + | 0.134500i | ||||
\(767\) | 17.0172 | − | 4.55974i | 0.614455 | − | 0.164643i | ||||
\(768\) | 36.5434 | + | 18.7343i | 1.31865 | + | 0.676018i | ||||
\(769\) | 43.7662i | 1.57825i | 0.614232 | + | 0.789125i | \(0.289466\pi\) | ||||
−0.614232 | + | 0.789125i | \(0.710534\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | − | 13.1540i | − | 0.473731i | ||||||
\(772\) | −4.27091 | + | 13.1168i | −0.153714 | + | 0.472083i | ||||
\(773\) | −9.65890 | + | 2.58809i | −0.347406 | + | 0.0930873i | −0.428303 | − | 0.903635i | \(-0.640888\pi\) |
0.0808964 | + | 0.996723i | \(0.474222\pi\) | |||||||
\(774\) | 1.71271 | + | 7.14373i | 0.0615621 | + | 0.256776i | ||||
\(775\) | −18.9718 | + | 10.8251i | −0.681488 | + | 0.388847i | ||||
\(776\) | −0.508979 | − | 0.597063i | −0.0182713 | − | 0.0214333i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 54.6132 | + | 1.44708i | 1.95798 | + | 0.0518802i | ||||
\(779\) | 28.3588 | + | 49.1189i | 1.01606 | + | 1.75987i | ||||
\(780\) | −40.0207 | − | 26.1703i | −1.43297 | − | 0.937045i | ||||
\(781\) | −9.70762 | + | 16.8141i | −0.347366 | + | 0.601655i | ||||
\(782\) | 5.24630 | + | 9.66964i | 0.187607 | + | 0.345786i | ||||
\(783\) | 6.77890 | − | 6.77890i | 0.242258 | − | 0.242258i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 8.94490 | + | 8.99052i | 0.319257 | + | 0.320886i | ||||
\(786\) | −65.2532 | − | 19.3509i | −2.32750 | − | 0.690225i | ||||
\(787\) | 14.0177 | − | 3.75602i | 0.499675 | − | 0.133888i | −0.000173930 | − | 1.00000i | \(-0.500055\pi\) |
0.499849 | + | 0.866112i | \(0.333389\pi\) | |||||||
\(788\) | 4.60498 | + | 21.7311i | 0.164046 | + | 0.774139i | ||||
\(789\) | −17.5399 | + | 10.1267i | −0.624439 | + | 0.360520i | ||||
\(790\) | 25.0219 | + | 0.726705i | 0.890238 | + | 0.0258550i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −1.48504 | + | 18.6470i | −0.0527686 | + | 0.662592i | ||||
\(793\) | −12.9517 | + | 48.3363i | −0.459927 | + | 1.71647i | ||||
\(794\) | 11.8012 | − | 2.82933i | 0.418808 | − | 0.100409i | ||||
\(795\) | 13.4164 | + | 7.79153i | 0.475830 | + | 0.276337i | ||||
\(796\) | −15.6670 | − | 30.7956i | −0.555303 | − | 1.09152i | ||||
\(797\) | 16.4978 | − | 16.4978i | 0.584382 | − | 0.584382i | −0.351723 | − | 0.936104i | \(-0.614404\pi\) |
0.936104 | + | 0.351723i | \(0.114404\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.49978 | 0.0884360 | ||||||||
\(800\) | 26.2026 | − | 10.6501i | 0.926401 | − | 0.376539i | ||||
\(801\) | −7.78228 | + | 13.4793i | −0.274973 | + | 0.476268i | ||||
\(802\) | −2.80491 | − | 1.72005i | −0.0990447 | − | 0.0607370i | ||||
\(803\) | 3.64471 | + | 0.976597i | 0.128619 | + | 0.0344633i | ||||
\(804\) | 16.9575 | + | 0.899273i | 0.598046 | + | 0.0317149i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 17.7109 | + | 18.6750i | 0.623839 | + | 0.657798i | ||||
\(807\) | −3.05251 | + | 11.3921i | −0.107453 | + | 0.401021i | ||||
\(808\) | −17.1193 | − | 11.7893i | −0.602256 | − | 0.414746i | ||||
\(809\) | −9.19342 | − | 5.30782i | −0.323223 | − | 0.186613i | 0.329605 | − | 0.944119i | \(-0.393084\pi\) |
−0.652828 | + | 0.757506i | \(0.726418\pi\) | |||||||
\(810\) | −10.3453 | − | 19.1841i | −0.363497 | − | 0.674059i | ||||
\(811\) | 51.1988i | 1.79783i | 0.438122 | + | 0.898916i | \(0.355644\pi\) | ||||
−0.438122 | + | 0.898916i | \(0.644356\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −52.0190 | − | 52.0190i | −1.82439 | − | 1.82439i | ||||
\(814\) | 10.0105 | + | 2.96862i | 0.350867 | + | 0.104050i | ||||
\(815\) | −6.41764 | + | 1.70211i | −0.224800 | + | 0.0596225i | ||||
\(816\) | 25.5094 | + | 18.5821i | 0.893007 | + | 0.650505i | ||||
\(817\) | 7.45113 | + | 1.99652i | 0.260682 | + | 0.0698495i | ||||
\(818\) | 0.265759 | + | 0.00704177i | 0.00929205 | + | 0.000246210i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −2.64228 | + | 47.5380i | −0.0922723 | + | 1.66010i | ||||
\(821\) | 2.15663 | + | 3.73539i | 0.0752668 | + | 0.130366i | 0.901202 | − | 0.433399i | \(-0.142686\pi\) |
−0.825935 | + | 0.563765i | \(0.809352\pi\) | |||||||
\(822\) | 34.2417 | − | 55.8385i | 1.19432 | − | 1.94759i | ||||
\(823\) | −6.85735 | − | 25.5920i | −0.239032 | − | 0.892080i | −0.976290 | − | 0.216468i | \(-0.930546\pi\) |
0.737257 | − | 0.675612i | \(-0.236121\pi\) | |||||||
\(824\) | −12.9121 | + | 36.3549i | −0.449814 | + | 1.26648i | ||||
\(825\) | 16.6433 | + | 16.8136i | 0.579447 | + | 0.585374i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −37.0665 | − | 37.0665i | −1.28893 | − | 1.28893i | −0.935438 | − | 0.353490i | \(-0.884995\pi\) |
−0.353490 | − | 0.935438i | \(-0.615005\pi\) | |||||||
\(828\) | −5.62135 | + | 17.2642i | −0.195355 | + | 0.599973i | ||||
\(829\) | 9.10301 | + | 5.25563i | 0.316161 | + | 0.182535i | 0.649680 | − | 0.760208i | \(-0.274903\pi\) |
−0.333519 | + | 0.942743i | \(0.608236\pi\) | |||||||
\(830\) | 0.234622 | + | 0.989708i | 0.00814384 | + | 0.0343533i | ||||
\(831\) | 11.9461 | − | 6.89709i | 0.414406 | − | 0.239257i | ||||
\(832\) | −19.5392 | − | 26.9991i | −0.677400 | − | 0.936026i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −5.96326 | − | 6.28787i | −0.206491 | − | 0.217731i | ||||
\(835\) | 34.1018 | + | 9.23061i | 1.18014 | + | 0.319438i | ||||
\(836\) | 16.4670 | + | 10.7084i | 0.569524 | + | 0.370356i | ||||
\(837\) | −1.70487 | − | 6.36268i | −0.0589291 | − | 0.219926i | ||||
\(838\) | −16.2666 | + | 8.82549i | −0.561920 | + | 0.304871i | ||||
\(839\) | 32.0936 | 1.10799 | 0.553996 | − | 0.832519i | \(-0.313102\pi\) | ||||
0.553996 | + | 0.832519i | \(0.313102\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −11.4237 | −0.393921 | ||||||||
\(842\) | −4.14599 | + | 2.24942i | −0.142880 | + | 0.0775202i | ||||
\(843\) | −16.1323 | − | 60.2066i | −0.555626 | − | 2.07363i | ||||
\(844\) | 31.3101 | + | 20.3607i | 1.07774 | + | 0.700843i | ||||
\(845\) | 4.84779 | + | 8.44618i | 0.166769 | + | 0.290557i | ||||
\(846\) | 2.83898 | + | 2.99352i | 0.0976061 | + | 0.102919i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 6.79461 | + | 8.41199i | 0.233328 | + | 0.288869i | ||||
\(849\) | 22.6371 | − | 13.0695i | 0.776902 | − | 0.448544i | ||||
\(850\) | 21.1635 | − | 4.96023i | 0.725903 | − | 0.170134i | ||||
\(851\) | 8.77678 | + | 5.06728i | 0.300864 | + | 0.173704i | ||||
\(852\) | −16.7378 | + | 51.4049i | −0.573427 | + | 1.76110i | ||||
\(853\) | 14.4800 | + | 14.4800i | 0.495785 | + | 0.495785i | 0.910123 | − | 0.414338i | \(-0.135987\pi\) |
−0.414338 | + | 0.910123i | \(0.635987\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 42.7362 | + | 0.108721i | 1.46155 | + | 0.00371818i | ||||
\(856\) | −12.4477 | − | 4.42102i | −0.425453 | − | 0.151107i | ||||
\(857\) | −1.08478 | − | 4.04846i | −0.0370554 | − | 0.138293i | 0.944920 | − | 0.327301i | \(-0.106139\pi\) |
−0.981975 | + | 0.189009i | \(0.939473\pi\) | |||||||
\(858\) | 14.5728 | − | 23.7640i | 0.497506 | − | 0.811289i | ||||
\(859\) | 17.7614 | + | 30.7636i | 0.606010 | + | 1.04964i | 0.991891 | + | 0.127091i | \(0.0405642\pi\) |
−0.385881 | + | 0.922549i | \(0.626103\pi\) | |||||||
\(860\) | 4.31768 | + | 4.82590i | 0.147232 | + | 0.164562i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −3.40814 | − | 0.0903049i | −0.116082 | − | 0.00307580i | ||||
\(863\) | −3.38837 | − | 0.907912i | −0.115342 | − | 0.0309057i | 0.200687 | − | 0.979656i | \(-0.435683\pi\) |
−0.316028 | + | 0.948750i | \(0.602349\pi\) | |||||||
\(864\) | 1.10020 | + | 8.45839i | 0.0374297 | + | 0.287760i | ||||
\(865\) | −3.97926 | − | 15.0034i | −0.135299 | − | 0.510130i | ||||
\(866\) | 0.600196 | + | 0.177989i | 0.0203955 | + | 0.00604831i | ||||
\(867\) | −13.7023 | − | 13.7023i | −0.465354 | − | 0.465354i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 14.5932i | 0.495039i | ||||||||
\(870\) | 14.7973 | − | 49.4363i | 0.501676 | − | 1.67605i | ||||
\(871\) | −11.9352 | − | 6.89077i | −0.404408 | − | 0.233485i | ||||
\(872\) | −16.2523 | + | 23.6001i | −0.550373 | + | 0.799200i | ||||
\(873\) | 0.257555 | − | 0.961210i | 0.00871693 | − | 0.0325320i | ||||
\(874\) | 13.1194 | + | 13.8336i | 0.443772 | + | 0.467929i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 10.4919 | + | 0.556392i | 0.354487 | + | 0.0187987i | ||||
\(877\) | 21.4915 | + | 5.75864i | 0.725718 | + | 0.194455i | 0.602721 | − | 0.797952i | \(-0.294083\pi\) |
0.122996 | + | 0.992407i | \(0.460750\pi\) | |||||||
\(878\) | 27.0774 | + | 16.6046i | 0.913818 | + | 0.560379i | ||||
\(879\) | −35.5513 | + | 61.5767i | −1.19912 | + | 2.07693i | ||||
\(880\) | 6.64955 | + | 15.0886i | 0.224156 | + | 0.508638i | ||||
\(881\) | 35.9299 | 1.21051 | 0.605254 | − | 0.796032i | \(-0.293071\pi\) | ||||
0.605254 | + | 0.796032i | \(0.293071\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 39.0358 | − | 39.0358i | 1.31366 | − | 1.31366i | 0.394964 | − | 0.918697i | \(-0.370757\pi\) |
0.918697 | − | 0.394964i | \(-0.129243\pi\) | |||||||
\(884\) | −11.6139 | − | 22.8286i | −0.390617 | − | 0.767807i | ||||
\(885\) | −23.4591 | + | 6.22194i | −0.788570 | + | 0.209148i | ||||
\(886\) | −23.9900 | + | 5.75161i | −0.805960 | + | 0.193229i | ||||
\(887\) | 7.57952 | − | 28.2871i | 0.254495 | − | 0.949789i | −0.713875 | − | 0.700273i | \(-0.753062\pi\) |
0.968371 | − | 0.249516i | \(-0.0802716\pi\) | |||||||
\(888\) | 28.9820 | + | 2.30811i | 0.972571 | + | 0.0774552i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −0.398292 | + | 13.7140i | −0.0133508 | + | 0.459694i | ||||
\(891\) | 11.0039 | − | 6.35313i | 0.368646 | − | 0.212838i | ||||
\(892\) | 6.49387 | + | 30.6449i | 0.217431 | + | 1.02607i | ||||
\(893\) | 4.18459 | − | 1.12126i | 0.140032 | − | 0.0375215i | ||||
\(894\) | 38.3460 | + | 11.3715i | 1.28248 | + | 0.380321i | ||||
\(895\) | 0.0578884 | − | 22.7548i | 0.00193500 | − | 0.760611i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 19.1323 | − | 19.1323i | 0.638810 | − | 0.638810i | ||||
\(898\) | −16.4238 | − | 30.2713i | −0.548069 | − | 1.01017i | ||||
\(899\) | −13.8876 | + | 24.0541i | −0.463178 | + | 0.802248i | ||||
\(900\) | 29.9751 | + | 19.7103i | 0.999171 | + | 0.657010i | ||||
\(901\) | 4.15513 | + | 7.19690i | 0.138428 | + | 0.239764i | ||||
\(902\) | −27.7463 | − | 0.735189i | −0.923851 | − | 0.0244791i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 23.4524 | − | 19.9925i | 0.780015 | − | 0.664939i | ||||
\(905\) | 20.9554 | − | 12.0276i | 0.696582 | − | 0.399812i | ||||
\(906\) | 14.0050 | + | 58.4151i | 0.465286 | + | 1.94071i | ||||
\(907\) | −29.1765 | + | 7.81783i | −0.968791 | + | 0.259587i | −0.708317 | − | 0.705894i | \(-0.750545\pi\) |
−0.260474 | + | 0.965481i | \(0.583879\pi\) | |||||||
\(908\) | −1.62567 | + | 4.99274i | −0.0539498 | + | 0.165690i | ||||
\(909\) | − | 26.3643i | − | 0.874449i | ||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 31.4256i | − | 1.04118i | −0.853808 | − | 0.520588i | \(-0.825713\pi\) | ||
0.853808 | − | 0.520588i | \(-0.174287\pi\) | |||||||
\(912\) | 51.0371 | + | 19.6641i | 1.69001 | + | 0.651144i | ||||
\(913\) | −0.572757 | + | 0.153470i | −0.0189555 | + | 0.00507911i | ||||
\(914\) | −19.1748 | + | 4.59716i | −0.634246 | + | 0.152061i | ||||
\(915\) | 18.0118 | − | 66.5435i | 0.595453 | − | 2.19986i | ||||
\(916\) | 0.215297 | − | 4.05984i | 0.00711360 | − | 0.134141i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −0.173631 | + | 6.55291i | −0.00573068 | + | 0.216278i | ||||
\(919\) | −25.4185 | − | 44.0262i | −0.838480 | − | 1.45229i | −0.891165 | − | 0.453679i | \(-0.850111\pi\) |
0.0526848 | − | 0.998611i | \(-0.483222\pi\) | |||||||
\(920\) | 2.86185 | + | 15.7464i | 0.0943523 | + | 0.519144i | ||||
\(921\) | 37.6204 | − | 65.1604i | 1.23963 | − | 2.14711i | ||||
\(922\) | −19.7393 | + | 10.7096i | −0.650080 | + | 0.352703i | ||||
\(923\) | 31.0239 | − | 31.0239i | 1.02116 | − | 1.02116i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 14.2315 | − | 14.0874i | 0.467928 | − | 0.463190i | ||||
\(926\) | 12.0770 | − | 40.7247i | 0.396874 | − | 1.33830i | ||||
\(927\) | −47.2660 | + | 12.6649i | −1.55242 | + | 0.415969i | ||||
\(928\) | 21.9391 | − | 28.4998i | 0.720185 | − | 0.935550i | ||||
\(929\) | 35.1105 | − | 20.2711i | 1.15194 | − | 0.665073i | 0.202580 | − | 0.979266i | \(-0.435067\pi\) |
0.949359 | + | 0.314193i | \(0.101734\pi\) | |||||||
\(930\) | −24.3333 | − | 25.7890i | −0.797922 | − | 0.845656i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −18.6319 | − | 20.7187i | −0.610308 | − | 0.678663i | ||||
\(933\) | −2.88508 | + | 10.7673i | −0.0944532 | + | 0.352504i | ||||
\(934\) | 7.80630 | + | 32.5601i | 0.255430 | + | 1.06540i | ||||
\(935\) | 3.24862 | + | 12.2486i | 0.106241 | + | 0.400571i | ||||
\(936\) | 14.1477 | − | 39.8339i | 0.462433 | − | 1.30201i | ||||
\(937\) | −7.47390 | + | 7.47390i | −0.244162 | + | 0.244162i | −0.818569 | − | 0.574408i | \(-0.805232\pi\) |
0.574408 | + | 0.818569i | \(0.305232\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −20.1435 | −0.657357 | ||||||||
\(940\) | 3.45509 | + | 1.13473i | 0.112693 | + | 0.0370108i | ||||
\(941\) | −2.77299 | + | 4.80295i | −0.0903968 | + | 0.156572i | −0.907678 | − | 0.419667i | \(-0.862147\pi\) |
0.817281 | + | 0.576239i | \(0.195480\pi\) | |||||||
\(942\) | −10.7620 | + | 17.5497i | −0.350645 | + | 0.571802i | ||||
\(943\) | −26.0225 | − | 6.97270i | −0.847408 | − | 0.227062i | ||||
\(944\) | −16.8208 | − | 1.78907i | −0.547470 | − | 0.0582294i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −2.73910 | + | 2.59769i | −0.0890559 | + | 0.0844583i | ||||
\(947\) | −5.57887 | + | 20.8206i | −0.181289 | + | 0.676579i | 0.814106 | + | 0.580717i | \(0.197228\pi\) |
−0.995395 | + | 0.0958624i | \(0.969439\pi\) | |||||||
\(948\) | 8.42364 | + | 39.7516i | 0.273587 | + | 1.29107i | ||||
\(949\) | −7.38444 | − | 4.26341i | −0.239709 | − | 0.138396i | ||||
\(950\) | 33.2025 | − | 17.7961i | 1.07723 | − | 0.577380i | ||||
\(951\) | − | 6.22506i | − | 0.201862i | ||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 32.3871 | + | 32.3871i | 1.04912 | + | 1.04912i | 0.998730 | + | 0.0503899i | \(0.0160464\pi\) |
0.0503899 | + | 0.998730i | \(0.483954\pi\) | |||||||
\(954\) | −3.89944 | + | 13.1493i | −0.126249 | + | 0.425723i | ||||
\(955\) | −15.5265 | + | 26.7355i | −0.502427 | + | 0.865139i | ||||
\(956\) | −10.6078 | + | 16.3123i | −0.343079 | + | 0.527578i | ||||
\(957\) | 29.0582 | + | 7.78612i | 0.939318 | + | 0.251689i | ||||
\(958\) | −0.878920 | + | 33.1708i | −0.0283966 | + | 1.07170i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 26.8229 | + | 37.2629i | 0.865706 | + | 1.20266i | ||||
\(961\) | −5.95777 | − | 10.3192i | −0.192186 | − | 0.332876i | ||||
\(962\) | −20.1145 | − | 12.3348i | −0.648517 | − | 0.397689i | ||||
\(963\) | −4.33638 | − | 16.1836i | −0.139738 | − | 0.521508i | ||||
\(964\) | −14.4611 | − | 28.4251i | −0.465759 | − | 0.915510i | ||||
\(965\) | −10.9333 | + | 10.8778i | −0.351955 | + | 0.350169i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 10.6422 | + | 10.6422i | 0.342230 | + | 0.342230i | 0.857205 | − | 0.514975i | \(-0.172199\pi\) |
−0.514975 | + | 0.857205i | \(0.672199\pi\) | |||||||
\(968\) | 19.4143 | − | 9.23796i | 0.624000 | − | 0.296919i | ||||
\(969\) | 36.4022 | + | 21.0168i | 1.16941 | + | 0.675158i | ||||
\(970\) | −0.202336 | − | 0.853516i | −0.00649662 | − | 0.0274048i | ||||
\(971\) | 10.1110 | − | 5.83760i | 0.324478 | − | 0.187337i | −0.328909 | − | 0.944362i | \(-0.606681\pi\) |
0.653387 | + | 0.757024i | \(0.273348\pi\) | |||||||
\(972\) | 33.0344 | − | 29.7071i | 1.05958 | − | 0.952857i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −8.43886 | + | 8.00320i | −0.270399 | + | 0.256439i | ||||
\(975\) | −26.4951 | − | 46.4348i | −0.848521 | − | 1.48710i | ||||
\(976\) | 28.2902 | − | 38.8365i | 0.905546 | − | 1.24313i | ||||
\(977\) | −7.97429 | − | 29.7605i | −0.255120 | − | 0.952121i | −0.968024 | − | 0.250859i | \(-0.919287\pi\) |
0.712903 | − | 0.701262i | \(-0.247380\pi\) | |||||||
\(978\) | −5.13974 | − | 9.47324i | −0.164351 | − | 0.302921i | ||||
\(979\) | −7.99822 | −0.255624 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −36.3449 | −1.16040 | ||||||||
\(982\) | −17.2027 | − | 31.7070i | −0.548961 | − | 1.01181i | ||||
\(983\) | 12.1054 | + | 45.1780i | 0.386102 | + | 1.44095i | 0.836422 | + | 0.548086i | \(0.184643\pi\) |
−0.450319 | + | 0.892868i | \(0.648690\pi\) | |||||||
\(984\) | −76.0049 | + | 14.0134i | −2.42295 | + | 0.446732i | ||||
\(985\) | −6.48894 | + | 23.9730i | −0.206755 | + | 0.763842i | ||||
\(986\) | 20.0557 | − | 19.0203i | 0.638705 | − | 0.605731i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −29.6810 | − | 33.0053i | −0.944277 | − | 1.05004i | ||||
\(989\) | −3.17318 | + | 1.83204i | −0.100901 | + | 0.0582554i | ||||
\(990\) | −10.9784 | + | 17.8008i | −0.348916 | + | 0.565748i | ||||
\(991\) | 43.4359 | + | 25.0777i | 1.37979 | + | 0.796620i | 0.992133 | − | 0.125186i | \(-0.0399528\pi\) |
0.387652 | + | 0.921806i | \(0.373286\pi\) | |||||||
\(992\) | −9.42155 | − | 22.8459i | −0.299134 | − | 0.725359i | ||||
\(993\) | −23.2903 | − | 23.2903i | −0.739094 | − | 0.739094i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0.0982746 | − | 38.6299i | 0.00311551 | − | 1.22465i | ||||
\(996\) | −1.47159 | + | 0.748663i | −0.0466292 | + | 0.0237223i | ||||
\(997\) | −7.52352 | − | 28.0782i | −0.238272 | − | 0.889245i | −0.976646 | − | 0.214853i | \(-0.931073\pi\) |
0.738374 | − | 0.674391i | \(-0.235594\pi\) | |||||||
\(998\) | 29.4839 | + | 18.0804i | 0.933296 | + | 0.572324i | ||||
\(999\) | 3.01941 | + | 5.22977i | 0.0955299 | + | 0.165463i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))