Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(91,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.91");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.n (of order \(2\), degree \(1\), 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: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 91.3 | ||
Character | \(\chi\) | \(=\) | 552.91 |
Dual form | 552.2.n.a.91.1 |
$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39844 | + | 0.210663i | −0.988843 | + | 0.148961i | ||||
\(3\) | 1.00000 | 0.577350 | ||||||||
\(4\) | 1.91124 | − | 0.589197i | 0.955621 | − | 0.294598i | ||||
\(5\) | −0.707233 | −0.316284 | −0.158142 | − | 0.987416i | \(-0.550550\pi\) | ||||
−0.158142 | + | 0.987416i | \(0.550550\pi\) | |||||||
\(6\) | −1.39844 | + | 0.210663i | −0.570909 | + | 0.0860027i | ||||
\(7\) | −4.06441 | −1.53620 | −0.768102 | − | 0.640328i | \(-0.778799\pi\) | ||||
−0.768102 | + | 0.640328i | \(0.778799\pi\) | |||||||
\(8\) | −2.54863 | + | 1.22658i | −0.901076 | + | 0.433662i | ||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 0.989020 | − | 0.148988i | 0.312756 | − | 0.0471141i | ||||
\(11\) | 4.77165i | 1.43871i | 0.694645 | + | 0.719353i | \(0.255562\pi\) | ||||
−0.694645 | + | 0.719353i | \(0.744438\pi\) | |||||||
\(12\) | 1.91124 | − | 0.589197i | 0.551728 | − | 0.170086i | ||||
\(13\) | − | 6.61936i | − | 1.83588i | −0.396721 | − | 0.917939i | \(-0.629852\pi\) | ||
0.396721 | − | 0.917939i | \(-0.370148\pi\) | |||||||
\(14\) | 5.68382 | − | 0.856221i | 1.51906 | − | 0.228835i | ||||
\(15\) | −0.707233 | −0.182607 | ||||||||
\(16\) | 3.30569 | − | 2.25220i | 0.826424 | − | 0.563049i | ||||
\(17\) | − | 5.50614i | − | 1.33543i | −0.744415 | − | 0.667717i | \(-0.767271\pi\) | ||
0.744415 | − | 0.667717i | \(-0.232729\pi\) | |||||||
\(18\) | −1.39844 | + | 0.210663i | −0.329614 | + | 0.0496537i | ||||
\(19\) | − | 4.69480i | − | 1.07706i | −0.842606 | − | 0.538530i | \(-0.818980\pi\) | ||
0.842606 | − | 0.538530i | \(-0.181020\pi\) | |||||||
\(20\) | −1.35169 | + | 0.416699i | −0.302248 | + | 0.0931768i | ||||
\(21\) | −4.06441 | −0.886928 | ||||||||
\(22\) | −1.00521 | − | 6.67284i | −0.214311 | − | 1.42265i | ||||
\(23\) | 3.15417 | − | 3.61265i | 0.657689 | − | 0.753289i | ||||
\(24\) | −2.54863 | + | 1.22658i | −0.520236 | + | 0.250375i | ||||
\(25\) | −4.49982 | −0.899964 | ||||||||
\(26\) | 1.39445 | + | 9.25674i | 0.273475 | + | 1.81540i | ||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | −7.76808 | + | 2.39474i | −1.46803 | + | 0.452563i | ||||
\(29\) | − | 1.90010i | − | 0.352840i | −0.984315 | − | 0.176420i | \(-0.943548\pi\) | ||
0.984315 | − | 0.176420i | \(-0.0564517\pi\) | |||||||
\(30\) | 0.989020 | − | 0.148988i | 0.180569 | − | 0.0272013i | ||||
\(31\) | − | 1.05745i | − | 0.189924i | −0.995481 | − | 0.0949619i | \(-0.969727\pi\) | ||
0.995481 | − | 0.0949619i | \(-0.0302729\pi\) | |||||||
\(32\) | −4.14835 | + | 3.84594i | −0.733331 | + | 0.679872i | ||||
\(33\) | 4.77165i | 0.830637i | ||||||||
\(34\) | 1.15994 | + | 7.69998i | 0.198928 | + | 1.32054i | ||||
\(35\) | 2.87449 | 0.485877 | ||||||||
\(36\) | 1.91124 | − | 0.589197i | 0.318540 | − | 0.0981994i | ||||
\(37\) | −1.73027 | −0.284455 | −0.142228 | − | 0.989834i | \(-0.545426\pi\) | ||||
−0.142228 | + | 0.989834i | \(0.545426\pi\) | |||||||
\(38\) | 0.989020 | + | 6.56537i | 0.160440 | + | 1.06504i | ||||
\(39\) | − | 6.61936i | − | 1.05995i | ||||||
\(40\) | 1.80247 | − | 0.867479i | 0.284996 | − | 0.137160i | ||||
\(41\) | −2.21480 | −0.345894 | −0.172947 | − | 0.984931i | \(-0.555329\pi\) | ||||
−0.172947 | + | 0.984931i | \(0.555329\pi\) | |||||||
\(42\) | 5.68382 | − | 0.856221i | 0.877032 | − | 0.132118i | ||||
\(43\) | − | 4.15938i | − | 0.634299i | −0.948376 | − | 0.317149i | \(-0.897274\pi\) | ||
0.948376 | − | 0.317149i | \(-0.102726\pi\) | |||||||
\(44\) | 2.81144 | + | 9.11977i | 0.423840 | + | 1.37486i | ||||
\(45\) | −0.707233 | −0.105428 | ||||||||
\(46\) | −3.64985 | + | 5.71652i | −0.538141 | + | 0.842855i | ||||
\(47\) | 4.75707i | 0.693890i | 0.937886 | + | 0.346945i | \(0.112781\pi\) | ||||
−0.937886 | + | 0.346945i | \(0.887219\pi\) | |||||||
\(48\) | 3.30569 | − | 2.25220i | 0.477136 | − | 0.325076i | ||||
\(49\) | 9.51946 | 1.35992 | ||||||||
\(50\) | 6.29271 | − | 0.947945i | 0.889923 | − | 0.134060i | ||||
\(51\) | − | 5.50614i | − | 0.771014i | ||||||
\(52\) | −3.90010 | − | 12.6512i | −0.540847 | − | 1.75440i | ||||
\(53\) | −12.2549 | −1.68334 | −0.841672 | − | 0.539989i | \(-0.818429\pi\) | ||||
−0.841672 | + | 0.539989i | \(0.818429\pi\) | |||||||
\(54\) | −1.39844 | + | 0.210663i | −0.190303 | + | 0.0286676i | ||||
\(55\) | − | 3.37467i | − | 0.455040i | ||||||
\(56\) | 10.3587 | − | 4.98533i | 1.38424 | − | 0.666193i | ||||
\(57\) | − | 4.69480i | − | 0.621841i | ||||||
\(58\) | 0.400281 | + | 2.65717i | 0.0525595 | + | 0.348903i | ||||
\(59\) | −3.11385 | −0.405389 | −0.202695 | − | 0.979242i | \(-0.564970\pi\) | ||||
−0.202695 | + | 0.979242i | \(0.564970\pi\) | |||||||
\(60\) | −1.35169 | + | 0.416699i | −0.174503 | + | 0.0537957i | ||||
\(61\) | −5.49700 | −0.703818 | −0.351909 | − | 0.936034i | \(-0.614467\pi\) | ||||
−0.351909 | + | 0.936034i | \(0.614467\pi\) | |||||||
\(62\) | 0.222766 | + | 1.47878i | 0.0282913 | + | 0.187805i | ||||
\(63\) | −4.06441 | −0.512068 | ||||||||
\(64\) | 4.99100 | − | 6.25220i | 0.623875 | − | 0.781524i | ||||
\(65\) | 4.68143i | 0.580660i | ||||||||
\(66\) | −1.00521 | − | 6.67284i | −0.123733 | − | 0.821370i | ||||
\(67\) | − | 9.05690i | − | 1.10648i | −0.833023 | − | 0.553238i | \(-0.813392\pi\) | ||
0.833023 | − | 0.553238i | \(-0.186608\pi\) | |||||||
\(68\) | −3.24420 | − | 10.5236i | −0.393417 | − | 1.27617i | ||||
\(69\) | 3.15417 | − | 3.61265i | 0.379717 | − | 0.434912i | ||||
\(70\) | −4.01979 | + | 0.605548i | −0.480456 | + | 0.0723768i | ||||
\(71\) | 9.05745i | 1.07492i | 0.843289 | + | 0.537461i | \(0.180616\pi\) | ||||
−0.843289 | + | 0.537461i | \(0.819384\pi\) | |||||||
\(72\) | −2.54863 | + | 1.22658i | −0.300359 | + | 0.144554i | ||||
\(73\) | 9.00798 | 1.05430 | 0.527152 | − | 0.849771i | \(-0.323260\pi\) | ||||
0.527152 | + | 0.849771i | \(0.323260\pi\) | |||||||
\(74\) | 2.41967 | − | 0.364504i | 0.281282 | − | 0.0423728i | ||||
\(75\) | −4.49982 | −0.519595 | ||||||||
\(76\) | −2.76616 | − | 8.97290i | −0.317300 | − | 1.02926i | ||||
\(77\) | − | 19.3939i | − | 2.21015i | ||||||
\(78\) | 1.39445 | + | 9.25674i | 0.157891 | + | 1.04812i | ||||
\(79\) | 1.51857 | 0.170853 | 0.0854264 | − | 0.996344i | \(-0.472775\pi\) | ||||
0.0854264 | + | 0.996344i | \(0.472775\pi\) | |||||||
\(80\) | −2.33790 | + | 1.59283i | −0.261385 | + | 0.178083i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 3.09725 | − | 0.466576i | 0.342034 | − | 0.0515247i | ||||
\(83\) | 7.12390i | 0.781950i | 0.920401 | + | 0.390975i | \(0.127862\pi\) | ||||
−0.920401 | + | 0.390975i | \(0.872138\pi\) | |||||||
\(84\) | −7.76808 | + | 2.39474i | −0.847567 | + | 0.261287i | ||||
\(85\) | 3.89412i | 0.422377i | ||||||||
\(86\) | 0.876226 | + | 5.81662i | 0.0944859 | + | 0.627222i | ||||
\(87\) | − | 1.90010i | − | 0.203712i | ||||||
\(88\) | −5.85281 | − | 12.1611i | −0.623912 | − | 1.29638i | ||||
\(89\) | − | 7.05000i | − | 0.747299i | −0.927570 | − | 0.373649i | \(-0.878106\pi\) | ||
0.927570 | − | 0.373649i | \(-0.121894\pi\) | |||||||
\(90\) | 0.989020 | − | 0.148988i | 0.104252 | − | 0.0157047i | ||||
\(91\) | 26.9038i | 2.82028i | ||||||||
\(92\) | 3.89982 | − | 8.76307i | 0.406584 | − | 0.913613i | ||||
\(93\) | − | 1.05745i | − | 0.109653i | ||||||
\(94\) | −1.00214 | − | 6.65245i | −0.103363 | − | 0.686148i | ||||
\(95\) | 3.32032i | 0.340657i | ||||||||
\(96\) | −4.14835 | + | 3.84594i | −0.423389 | + | 0.392524i | ||||
\(97\) | 5.21685i | 0.529691i | 0.964291 | + | 0.264845i | \(0.0853210\pi\) | ||||
−0.964291 | + | 0.264845i | \(0.914679\pi\) | |||||||
\(98\) | −13.3123 | + | 2.00540i | −1.34475 | + | 0.202576i | ||||
\(99\) | 4.77165i | 0.479569i | ||||||||
\(100\) | −8.60025 | + | 2.65128i | −0.860025 | + | 0.265128i | ||||
\(101\) | − | 2.30636i | − | 0.229492i | −0.993395 | − | 0.114746i | \(-0.963395\pi\) | ||
0.993395 | − | 0.114746i | \(-0.0366053\pi\) | |||||||
\(102\) | 1.15994 | + | 7.69998i | 0.114851 | + | 0.762412i | ||||
\(103\) | 17.9455 | 1.76822 | 0.884112 | − | 0.467275i | \(-0.154764\pi\) | ||||
0.884112 | + | 0.467275i | \(0.154764\pi\) | |||||||
\(104\) | 8.11918 | + | 16.8703i | 0.796151 | + | 1.65427i | ||||
\(105\) | 2.87449 | 0.280521 | ||||||||
\(106\) | 17.1377 | − | 2.58166i | 1.66456 | − | 0.250753i | ||||
\(107\) | − | 15.8013i | − | 1.52757i | −0.645471 | − | 0.763785i | \(-0.723339\pi\) | ||
0.645471 | − | 0.763785i | \(-0.276661\pi\) | |||||||
\(108\) | 1.91124 | − | 0.589197i | 0.183909 | − | 0.0566955i | ||||
\(109\) | 6.41593 | 0.614534 | 0.307267 | − | 0.951623i | \(-0.400585\pi\) | ||||
0.307267 | + | 0.951623i | \(0.400585\pi\) | |||||||
\(110\) | 0.710917 | + | 4.71925i | 0.0677833 | + | 0.449963i | ||||
\(111\) | −1.73027 | −0.164230 | ||||||||
\(112\) | −13.4357 | + | 9.15385i | −1.26956 | + | 0.864958i | ||||
\(113\) | 5.88965i | 0.554052i | 0.960862 | + | 0.277026i | \(0.0893487\pi\) | ||||
−0.960862 | + | 0.277026i | \(0.910651\pi\) | |||||||
\(114\) | 0.989020 | + | 6.56537i | 0.0926302 | + | 0.614904i | ||||
\(115\) | −2.23073 | + | 2.55498i | −0.208017 | + | 0.238254i | ||||
\(116\) | −1.11953 | − | 3.63156i | −0.103946 | − | 0.337181i | ||||
\(117\) | − | 6.61936i | − | 0.611960i | ||||||
\(118\) | 4.35452 | − | 0.655973i | 0.400866 | − | 0.0603872i | ||||
\(119\) | 22.3792i | 2.05150i | ||||||||
\(120\) | 1.80247 | − | 0.867479i | 0.164543 | − | 0.0791896i | ||||
\(121\) | −11.7686 | −1.06987 | ||||||||
\(122\) | 7.68719 | − | 1.15801i | 0.695966 | − | 0.104842i | ||||
\(123\) | −2.21480 | −0.199702 | ||||||||
\(124\) | −0.623047 | − | 2.02104i | −0.0559512 | − | 0.181495i | ||||
\(125\) | 6.71859 | 0.600929 | ||||||||
\(126\) | 5.68382 | − | 0.856221i | 0.506355 | − | 0.0762782i | ||||
\(127\) | 21.4710i | 1.90525i | 0.304154 | + | 0.952623i | \(0.401626\pi\) | ||||
−0.304154 | + | 0.952623i | \(0.598374\pi\) | |||||||
\(128\) | −5.66248 | + | 9.79471i | −0.500497 | + | 0.865738i | ||||
\(129\) | − | 4.15938i | − | 0.366213i | ||||||
\(130\) | −0.986203 | − | 6.54667i | −0.0864957 | − | 0.574181i | ||||
\(131\) | 5.33844 | 0.466422 | 0.233211 | − | 0.972426i | \(-0.425077\pi\) | ||||
0.233211 | + | 0.972426i | \(0.425077\pi\) | |||||||
\(132\) | 2.81144 | + | 9.11977i | 0.244704 | + | 0.793774i | ||||
\(133\) | 19.0816i | 1.65459i | ||||||||
\(134\) | 1.90795 | + | 12.6655i | 0.164822 | + | 1.09413i | ||||
\(135\) | −0.707233 | −0.0608689 | ||||||||
\(136\) | 6.75373 | + | 14.0331i | 0.579127 | + | 1.20333i | ||||
\(137\) | − | 9.08294i | − | 0.776008i | −0.921658 | − | 0.388004i | \(-0.873165\pi\) | ||
0.921658 | − | 0.388004i | \(-0.126835\pi\) | |||||||
\(138\) | −3.64985 | + | 5.71652i | −0.310696 | + | 0.486623i | ||||
\(139\) | −10.3826 | −0.880644 | −0.440322 | − | 0.897840i | \(-0.645136\pi\) | ||||
−0.440322 | + | 0.897840i | \(0.645136\pi\) | |||||||
\(140\) | 5.49384 | − | 1.69364i | 0.464314 | − | 0.143139i | ||||
\(141\) | 4.75707i | 0.400617i | ||||||||
\(142\) | −1.90807 | − | 12.6663i | −0.160122 | − | 1.06293i | ||||
\(143\) | 31.5852 | 2.64129 | ||||||||
\(144\) | 3.30569 | − | 2.25220i | 0.275475 | − | 0.187683i | ||||
\(145\) | 1.34382i | 0.111598i | ||||||||
\(146\) | −12.5971 | + | 1.89765i | −1.04254 | + | 0.157050i | ||||
\(147\) | 9.51946 | 0.785152 | ||||||||
\(148\) | −3.30697 | + | 1.01947i | −0.271831 | + | 0.0838000i | ||||
\(149\) | −12.7678 | −1.04598 | −0.522991 | − | 0.852338i | \(-0.675184\pi\) | ||||
−0.522991 | + | 0.852338i | \(0.675184\pi\) | |||||||
\(150\) | 6.29271 | − | 0.947945i | 0.513798 | − | 0.0773994i | ||||
\(151\) | 9.49209i | 0.772455i | 0.922404 | + | 0.386228i | \(0.126222\pi\) | ||||
−0.922404 | + | 0.386228i | \(0.873778\pi\) | |||||||
\(152\) | 5.75855 | + | 11.9653i | 0.467080 | + | 0.970513i | ||||
\(153\) | − | 5.50614i | − | 0.445145i | ||||||
\(154\) | 4.08558 | + | 27.1212i | 0.329226 | + | 2.18549i | ||||
\(155\) | 0.747864i | 0.0600699i | ||||||||
\(156\) | −3.90010 | − | 12.6512i | −0.312258 | − | 1.01291i | ||||
\(157\) | −17.7700 | −1.41820 | −0.709102 | − | 0.705106i | \(-0.750899\pi\) | ||||
−0.709102 | + | 0.705106i | \(0.750899\pi\) | |||||||
\(158\) | −2.12363 | + | 0.319907i | −0.168947 | + | 0.0254504i | ||||
\(159\) | −12.2549 | −0.971880 | ||||||||
\(160\) | 2.93385 | − | 2.71997i | 0.231941 | − | 0.215033i | ||||
\(161\) | −12.8198 | + | 14.6833i | −1.01034 | + | 1.15721i | ||||
\(162\) | −1.39844 | + | 0.210663i | −0.109871 | + | 0.0165512i | ||||
\(163\) | −4.80484 | −0.376344 | −0.188172 | − | 0.982136i | \(-0.560256\pi\) | ||||
−0.188172 | + | 0.982136i | \(0.560256\pi\) | |||||||
\(164\) | −4.23302 | + | 1.30495i | −0.330543 | + | 0.101900i | ||||
\(165\) | − | 3.37467i | − | 0.262717i | ||||||
\(166\) | −1.50074 | − | 9.96232i | −0.116480 | − | 0.773226i | ||||
\(167\) | − | 10.3203i | − | 0.798606i | −0.916819 | − | 0.399303i | \(-0.869252\pi\) | ||
0.916819 | − | 0.399303i | \(-0.130748\pi\) | |||||||
\(168\) | 10.3587 | − | 4.98533i | 0.799189 | − | 0.384627i | ||||
\(169\) | −30.8159 | −2.37045 | ||||||||
\(170\) | −0.820347 | − | 5.44568i | −0.0629178 | − | 0.417665i | ||||
\(171\) | − | 4.69480i | − | 0.359020i | ||||||
\(172\) | −2.45069 | − | 7.94958i | −0.186863 | − | 0.606149i | ||||
\(173\) | − | 9.29934i | − | 0.707015i | −0.935432 | − | 0.353508i | \(-0.884989\pi\) | ||
0.935432 | − | 0.353508i | \(-0.115011\pi\) | |||||||
\(174\) | 0.400281 | + | 2.65717i | 0.0303452 | + | 0.201440i | ||||
\(175\) | 18.2891 | 1.38253 | ||||||||
\(176\) | 10.7467 | + | 15.7736i | 0.810062 | + | 1.18898i | ||||
\(177\) | −3.11385 | −0.234052 | ||||||||
\(178\) | 1.48517 | + | 9.85897i | 0.111318 | + | 0.738961i | ||||
\(179\) | −13.1531 | −0.983111 | −0.491555 | − | 0.870846i | \(-0.663571\pi\) | ||||
−0.491555 | + | 0.870846i | \(0.663571\pi\) | |||||||
\(180\) | −1.35169 | + | 0.416699i | −0.100749 | + | 0.0310589i | ||||
\(181\) | 26.0882 | 1.93912 | 0.969561 | − | 0.244848i | \(-0.0787382\pi\) | ||||
0.969561 | + | 0.244848i | \(0.0787382\pi\) | |||||||
\(182\) | −5.66763 | − | 37.6232i | −0.420113 | − | 2.78882i | ||||
\(183\) | −5.49700 | −0.406350 | ||||||||
\(184\) | −3.60759 | + | 13.0761i | −0.265955 | + | 0.963985i | ||||
\(185\) | 1.22371 | 0.0899687 | ||||||||
\(186\) | 0.222766 | + | 1.47878i | 0.0163340 | + | 0.108429i | ||||
\(187\) | 26.2734 | 1.92130 | ||||||||
\(188\) | 2.80285 | + | 9.09191i | 0.204419 | + | 0.663096i | ||||
\(189\) | −4.06441 | −0.295643 | ||||||||
\(190\) | −0.699468 | − | 4.64325i | −0.0507447 | − | 0.336857i | ||||
\(191\) | 6.97316 | 0.504560 | 0.252280 | − | 0.967654i | \(-0.418820\pi\) | ||||
0.252280 | + | 0.967654i | \(0.418820\pi\) | |||||||
\(192\) | 4.99100 | − | 6.25220i | 0.360194 | − | 0.451213i | ||||
\(193\) | 11.7701 | 0.847232 | 0.423616 | − | 0.905842i | \(-0.360761\pi\) | ||||
0.423616 | + | 0.905842i | \(0.360761\pi\) | |||||||
\(194\) | −1.09900 | − | 7.29543i | −0.0789034 | − | 0.523781i | ||||
\(195\) | 4.68143i | 0.335244i | ||||||||
\(196\) | 18.1940 | − | 5.60883i | 1.29957 | − | 0.400631i | ||||
\(197\) | − | 13.5963i | − | 0.968696i | −0.874875 | − | 0.484348i | \(-0.839057\pi\) | ||
0.874875 | − | 0.484348i | \(-0.160943\pi\) | |||||||
\(198\) | −1.00521 | − | 6.67284i | −0.0714371 | − | 0.474218i | ||||
\(199\) | 3.34329 | 0.237000 | 0.118500 | − | 0.992954i | \(-0.462191\pi\) | ||||
0.118500 | + | 0.992954i | \(0.462191\pi\) | |||||||
\(200\) | 11.4684 | − | 5.51940i | 0.810936 | − | 0.390280i | ||||
\(201\) | − | 9.05690i | − | 0.638825i | ||||||
\(202\) | 0.485865 | + | 3.22530i | 0.0341853 | + | 0.226931i | ||||
\(203\) | 7.72280i | 0.542034i | ||||||||
\(204\) | −3.24420 | − | 10.5236i | −0.227139 | − | 0.736797i | ||||
\(205\) | 1.56638 | 0.109401 | ||||||||
\(206\) | −25.0956 | + | 3.78045i | −1.74850 | + | 0.263397i | ||||
\(207\) | 3.15417 | − | 3.61265i | 0.219230 | − | 0.251096i | ||||
\(208\) | −14.9081 | − | 21.8816i | −1.03369 | − | 1.51721i | ||||
\(209\) | 22.4019 | 1.54957 | ||||||||
\(210\) | −4.01979 | + | 0.605548i | −0.277392 | + | 0.0417868i | ||||
\(211\) | −16.9365 | −1.16595 | −0.582977 | − | 0.812489i | \(-0.698112\pi\) | ||||
−0.582977 | + | 0.812489i | \(0.698112\pi\) | |||||||
\(212\) | −23.4221 | + | 7.22057i | −1.60864 | + | 0.495911i | ||||
\(213\) | 9.05745i | 0.620606i | ||||||||
\(214\) | 3.32875 | + | 22.0971i | 0.227548 | + | 1.51053i | ||||
\(215\) | 2.94165i | 0.200619i | ||||||||
\(216\) | −2.54863 | + | 1.22658i | −0.173412 | + | 0.0834583i | ||||
\(217\) | 4.29792i | 0.291762i | ||||||||
\(218\) | −8.97226 | + | 1.35160i | −0.607678 | + | 0.0915417i | ||||
\(219\) | 9.00798 | 0.608703 | ||||||||
\(220\) | −1.98834 | − | 6.44981i | −0.134054 | − | 0.434846i | ||||
\(221\) | −36.4471 | −2.45170 | ||||||||
\(222\) | 2.41967 | − | 0.364504i | 0.162398 | − | 0.0244639i | ||||
\(223\) | 6.73080i | 0.450728i | 0.974275 | + | 0.225364i | \(0.0723571\pi\) | ||||
−0.974275 | + | 0.225364i | \(0.927643\pi\) | |||||||
\(224\) | 16.8606 | − | 15.6315i | 1.12655 | − | 1.04442i | ||||
\(225\) | −4.49982 | −0.299988 | ||||||||
\(226\) | −1.24073 | − | 8.23629i | −0.0825321 | − | 0.547870i | ||||
\(227\) | 17.8632i | 1.18562i | 0.805341 | + | 0.592812i | \(0.201982\pi\) | ||||
−0.805341 | + | 0.592812i | \(0.798018\pi\) | |||||||
\(228\) | −2.76616 | − | 8.97290i | −0.183193 | − | 0.594245i | ||||
\(229\) | 21.3486 | 1.41076 | 0.705378 | − | 0.708831i | \(-0.250777\pi\) | ||||
0.705378 | + | 0.708831i | \(0.250777\pi\) | |||||||
\(230\) | 2.58129 | − | 4.04291i | 0.170205 | − | 0.266582i | ||||
\(231\) | − | 19.3939i | − | 1.27603i | ||||||
\(232\) | 2.33063 | + | 4.84265i | 0.153013 | + | 0.317936i | ||||
\(233\) | 21.7195 | 1.42289 | 0.711447 | − | 0.702740i | \(-0.248040\pi\) | ||||
0.711447 | + | 0.702740i | \(0.248040\pi\) | |||||||
\(234\) | 1.39445 | + | 9.25674i | 0.0911582 | + | 0.605132i | ||||
\(235\) | − | 3.36436i | − | 0.219466i | ||||||
\(236\) | −5.95133 | + | 1.83467i | −0.387399 | + | 0.119427i | ||||
\(237\) | 1.51857 | 0.0986419 | ||||||||
\(238\) | −4.71447 | − | 31.2959i | −0.305594 | − | 2.02861i | ||||
\(239\) | 11.8993i | 0.769702i | 0.922979 | + | 0.384851i | \(0.125747\pi\) | ||||
−0.922979 | + | 0.384851i | \(0.874253\pi\) | |||||||
\(240\) | −2.33790 | + | 1.59283i | −0.150911 | + | 0.102817i | ||||
\(241\) | − | 29.7933i | − | 1.91915i | −0.281449 | − | 0.959576i | \(-0.590815\pi\) | ||
0.281449 | − | 0.959576i | \(-0.409185\pi\) | |||||||
\(242\) | 16.4576 | − | 2.47921i | 1.05794 | − | 0.159370i | ||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | −10.5061 | + | 3.23881i | −0.672583 | + | 0.207344i | ||||
\(245\) | −6.73248 | −0.430122 | ||||||||
\(246\) | 3.09725 | − | 0.466576i | 0.197474 | − | 0.0297478i | ||||
\(247\) | −31.0765 | −1.97735 | ||||||||
\(248\) | 1.29705 | + | 2.69505i | 0.0823627 | + | 0.171136i | ||||
\(249\) | 7.12390i | 0.451459i | ||||||||
\(250\) | −9.39551 | + | 1.41536i | −0.594224 | + | 0.0895150i | ||||
\(251\) | − | 1.00549i | − | 0.0634661i | −0.999496 | − | 0.0317331i | \(-0.989897\pi\) | ||
0.999496 | − | 0.0317331i | \(-0.0101026\pi\) | |||||||
\(252\) | −7.76808 | + | 2.39474i | −0.489343 | + | 0.150854i | ||||
\(253\) | 17.2383 | + | 15.0506i | 1.08376 | + | 0.946221i | ||||
\(254\) | −4.52315 | − | 30.0258i | −0.283808 | − | 1.88399i | ||||
\(255\) | 3.89412i | 0.243860i | ||||||||
\(256\) | 5.85523 | − | 14.8901i | 0.365952 | − | 0.930634i | ||||
\(257\) | 12.8015 | 0.798537 | 0.399268 | − | 0.916834i | \(-0.369264\pi\) | ||||
0.399268 | + | 0.916834i | \(0.369264\pi\) | |||||||
\(258\) | 0.876226 | + | 5.81662i | 0.0545514 | + | 0.362127i | ||||
\(259\) | 7.03255 | 0.436981 | ||||||||
\(260\) | 2.75828 | + | 8.94734i | 0.171061 | + | 0.554891i | ||||
\(261\) | − | 1.90010i | − | 0.117613i | ||||||
\(262\) | −7.46547 | + | 1.12461i | −0.461218 | + | 0.0694787i | ||||
\(263\) | −20.9795 | −1.29365 | −0.646827 | − | 0.762637i | \(-0.723904\pi\) | ||||
−0.646827 | + | 0.762637i | \(0.723904\pi\) | |||||||
\(264\) | −5.85281 | − | 12.1611i | −0.360216 | − | 0.748467i | ||||
\(265\) | 8.66710 | 0.532415 | ||||||||
\(266\) | −4.01979 | − | 26.6844i | −0.246469 | − | 1.63612i | ||||
\(267\) | − | 7.05000i | − | 0.431453i | ||||||
\(268\) | −5.33630 | − | 17.3099i | −0.325966 | − | 1.05737i | ||||
\(269\) | 16.8439i | 1.02699i | 0.858092 | + | 0.513497i | \(0.171650\pi\) | ||||
−0.858092 | + | 0.513497i | \(0.828350\pi\) | |||||||
\(270\) | 0.989020 | − | 0.148988i | 0.0601898 | − | 0.00906711i | ||||
\(271\) | − | 14.4197i | − | 0.875933i | −0.898991 | − | 0.437966i | \(-0.855699\pi\) | ||
0.898991 | − | 0.437966i | \(-0.144301\pi\) | |||||||
\(272\) | −12.4009 | − | 18.2016i | −0.751915 | − | 1.10363i | ||||
\(273\) | 26.9038i | 1.62829i | ||||||||
\(274\) | 1.91344 | + | 12.7019i | 0.115595 | + | 0.767350i | ||||
\(275\) | − | 21.4716i | − | 1.29478i | ||||||
\(276\) | 3.89982 | − | 8.76307i | 0.234741 | − | 0.527475i | ||||
\(277\) | − | 20.1542i | − | 1.21095i | −0.795865 | − | 0.605473i | \(-0.792984\pi\) | ||
0.795865 | − | 0.605473i | \(-0.207016\pi\) | |||||||
\(278\) | 14.5195 | − | 2.18724i | 0.870819 | − | 0.131182i | ||||
\(279\) | − | 1.05745i | − | 0.0633079i | ||||||
\(280\) | −7.32600 | + | 3.52579i | −0.437812 | + | 0.210706i | ||||
\(281\) | 10.9391i | 0.652571i | 0.945271 | + | 0.326286i | \(0.105797\pi\) | ||||
−0.945271 | + | 0.326286i | \(0.894203\pi\) | |||||||
\(282\) | −1.00214 | − | 6.65245i | −0.0596764 | − | 0.396148i | ||||
\(283\) | − | 10.4920i | − | 0.623685i | −0.950134 | − | 0.311843i | \(-0.899054\pi\) | ||
0.950134 | − | 0.311843i | \(-0.100946\pi\) | |||||||
\(284\) | 5.33662 | + | 17.3110i | 0.316670 | + | 1.02722i | ||||
\(285\) | 3.32032i | 0.196679i | ||||||||
\(286\) | −44.1699 | + | 6.65383i | −2.61182 | + | 0.393449i | ||||
\(287\) | 9.00186 | 0.531363 | ||||||||
\(288\) | −4.14835 | + | 3.84594i | −0.244444 | + | 0.226624i | ||||
\(289\) | −13.3176 | −0.783386 | ||||||||
\(290\) | −0.283092 | − | 1.87924i | −0.0166237 | − | 0.110353i | ||||
\(291\) | 5.21685i | 0.305817i | ||||||||
\(292\) | 17.2164 | − | 5.30747i | 1.00752 | − | 0.310596i | ||||
\(293\) | 5.75301 | 0.336095 | 0.168047 | − | 0.985779i | \(-0.446254\pi\) | ||||
0.168047 | + | 0.985779i | \(0.446254\pi\) | |||||||
\(294\) | −13.3123 | + | 2.00540i | −0.776392 | + | 0.116957i | ||||
\(295\) | 2.20222 | 0.128218 | ||||||||
\(296\) | 4.40982 | − | 2.12232i | 0.256316 | − | 0.123357i | ||||
\(297\) | 4.77165i | 0.276879i | ||||||||
\(298\) | 17.8550 | − | 2.68971i | 1.03431 | − | 0.155811i | ||||
\(299\) | −23.9134 | − | 20.8786i | −1.38295 | − | 1.20744i | ||||
\(300\) | −8.60025 | + | 2.65128i | −0.496536 | + | 0.153072i | ||||
\(301\) | 16.9054i | 0.974412i | ||||||||
\(302\) | −1.99963 | − | 13.2741i | −0.115066 | − | 0.763837i | ||||
\(303\) | − | 2.30636i | − | 0.132497i | ||||||
\(304\) | −10.5736 | − | 15.5196i | −0.606438 | − | 0.890109i | ||||
\(305\) | 3.88766 | 0.222607 | ||||||||
\(306\) | 1.15994 | + | 7.69998i | 0.0663093 | + | 0.440179i | ||||
\(307\) | −13.6474 | −0.778896 | −0.389448 | − | 0.921048i | \(-0.627334\pi\) | ||||
−0.389448 | + | 0.921048i | \(0.627334\pi\) | |||||||
\(308\) | −11.4268 | − | 37.0665i | −0.651105 | − | 2.11206i | ||||
\(309\) | 17.9455 | 1.02088 | ||||||||
\(310\) | −0.157547 | − | 1.04584i | −0.00894808 | − | 0.0593997i | ||||
\(311\) | − | 14.5540i | − | 0.825279i | −0.910894 | − | 0.412639i | \(-0.864607\pi\) | ||
0.910894 | − | 0.412639i | \(-0.135393\pi\) | |||||||
\(312\) | 8.11918 | + | 16.8703i | 0.459658 | + | 0.955091i | ||||
\(313\) | 16.5347i | 0.934599i | 0.884099 | + | 0.467299i | \(0.154773\pi\) | ||||
−0.884099 | + | 0.467299i | \(0.845227\pi\) | |||||||
\(314\) | 24.8503 | − | 3.74349i | 1.40238 | − | 0.211257i | ||||
\(315\) | 2.87449 | 0.161959 | ||||||||
\(316\) | 2.90236 | − | 0.894738i | 0.163271 | − | 0.0503330i | ||||
\(317\) | − | 26.7678i | − | 1.50343i | −0.659487 | − | 0.751716i | \(-0.729226\pi\) | ||
0.659487 | − | 0.751716i | \(-0.270774\pi\) | |||||||
\(318\) | 17.1377 | − | 2.58166i | 0.961036 | − | 0.144772i | ||||
\(319\) | 9.06662 | 0.507633 | ||||||||
\(320\) | −3.52980 | + | 4.42176i | −0.197322 | + | 0.247184i | ||||
\(321\) | − | 15.8013i | − | 0.881943i | ||||||
\(322\) | 14.8345 | − | 23.2343i | 0.826694 | − | 1.29480i | ||||
\(323\) | −25.8502 | −1.43834 | ||||||||
\(324\) | 1.91124 | − | 0.589197i | 0.106180 | − | 0.0327331i | ||||
\(325\) | 29.7859i | 1.65223i | ||||||||
\(326\) | 6.71925 | − | 1.01220i | 0.372145 | − | 0.0560606i | ||||
\(327\) | 6.41593 | 0.354802 | ||||||||
\(328\) | 5.64470 | − | 2.71663i | 0.311676 | − | 0.150001i | ||||
\(329\) | − | 19.3347i | − | 1.06596i | ||||||
\(330\) | 0.710917 | + | 4.71925i | 0.0391347 | + | 0.259786i | ||||
\(331\) | 14.6892 | 0.807390 | 0.403695 | − | 0.914894i | \(-0.367726\pi\) | ||||
0.403695 | + | 0.914894i | \(0.367726\pi\) | |||||||
\(332\) | 4.19738 | + | 13.6155i | 0.230361 | + | 0.747248i | ||||
\(333\) | −1.73027 | −0.0948184 | ||||||||
\(334\) | 2.17410 | + | 14.4322i | 0.118961 | + | 0.789696i | ||||
\(335\) | 6.40534i | 0.349961i | ||||||||
\(336\) | −13.4357 | + | 9.15385i | −0.732978 | + | 0.499384i | ||||
\(337\) | 21.8726i | 1.19148i | 0.803178 | + | 0.595739i | \(0.203141\pi\) | ||||
−0.803178 | + | 0.595739i | \(0.796859\pi\) | |||||||
\(338\) | 43.0940 | − | 6.49176i | 2.34400 | − | 0.353105i | ||||
\(339\) | 5.88965i | 0.319882i | ||||||||
\(340\) | 2.29441 | + | 7.44261i | 0.124432 | + | 0.403632i | ||||
\(341\) | 5.04578 | 0.273244 | ||||||||
\(342\) | 0.989020 | + | 6.56537i | 0.0534801 | + | 0.355015i | ||||
\(343\) | −10.2401 | −0.552914 | ||||||||
\(344\) | 5.10181 | + | 10.6007i | 0.275071 | + | 0.571551i | ||||
\(345\) | −2.23073 | + | 2.55498i | −0.120099 | + | 0.137556i | ||||
\(346\) | 1.95902 | + | 13.0045i | 0.105318 | + | 0.699127i | ||||
\(347\) | 5.48691 | 0.294553 | 0.147276 | − | 0.989095i | \(-0.452949\pi\) | ||||
0.147276 | + | 0.989095i | \(0.452949\pi\) | |||||||
\(348\) | −1.11953 | − | 3.63156i | −0.0600133 | − | 0.194672i | ||||
\(349\) | − | 12.9858i | − | 0.695112i | −0.937659 | − | 0.347556i | \(-0.887012\pi\) | ||
0.937659 | − | 0.347556i | \(-0.112988\pi\) | |||||||
\(350\) | −25.5762 | + | 3.85284i | −1.36710 | + | 0.205943i | ||||
\(351\) | − | 6.61936i | − | 0.353315i | ||||||
\(352\) | −18.3514 | − | 19.7944i | −0.978136 | − | 1.05505i | ||||
\(353\) | −23.3979 | −1.24535 | −0.622673 | − | 0.782482i | \(-0.713953\pi\) | ||||
−0.622673 | + | 0.782482i | \(0.713953\pi\) | |||||||
\(354\) | 4.35452 | − | 0.655973i | 0.231440 | − | 0.0348646i | ||||
\(355\) | − | 6.40573i | − | 0.339981i | ||||||
\(356\) | −4.15384 | − | 13.4743i | −0.220153 | − | 0.714135i | ||||
\(357\) | 22.3792i | 1.18443i | ||||||||
\(358\) | 18.3938 | − | 2.77088i | 0.972142 | − | 0.146445i | ||||
\(359\) | −6.29096 | −0.332024 | −0.166012 | − | 0.986124i | \(-0.553089\pi\) | ||||
−0.166012 | + | 0.986124i | \(0.553089\pi\) | |||||||
\(360\) | 1.80247 | − | 0.867479i | 0.0949987 | − | 0.0457202i | ||||
\(361\) | −3.04114 | −0.160060 | ||||||||
\(362\) | −36.4827 | + | 5.49582i | −1.91749 | + | 0.288854i | ||||
\(363\) | −11.7686 | −0.617692 | ||||||||
\(364\) | 15.8516 | + | 51.4197i | 0.830851 | + | 2.69512i | ||||
\(365\) | −6.37074 | −0.333460 | ||||||||
\(366\) | 7.68719 | − | 1.15801i | 0.401816 | − | 0.0605303i | ||||
\(367\) | −2.84353 | −0.148431 | −0.0742156 | − | 0.997242i | \(-0.523645\pi\) | ||||
−0.0742156 | + | 0.997242i | \(0.523645\pi\) | |||||||
\(368\) | 2.29032 | − | 19.0461i | 0.119391 | − | 0.992847i | ||||
\(369\) | −2.21480 | −0.115298 | ||||||||
\(370\) | −1.71127 | + | 0.257790i | −0.0889649 | + | 0.0134018i | ||||
\(371\) | 49.8091 | 2.58596 | ||||||||
\(372\) | −0.623047 | − | 2.02104i | −0.0323035 | − | 0.104786i | ||||
\(373\) | −4.48855 | −0.232409 | −0.116204 | − | 0.993225i | \(-0.537073\pi\) | ||||
−0.116204 | + | 0.993225i | \(0.537073\pi\) | |||||||
\(374\) | −36.7416 | + | 5.53482i | −1.89986 | + | 0.286199i | ||||
\(375\) | 6.71859 | 0.346946 | ||||||||
\(376\) | −5.83493 | − | 12.1240i | −0.300914 | − | 0.625247i | ||||
\(377\) | −12.5775 | −0.647772 | ||||||||
\(378\) | 5.68382 | − | 0.856221i | 0.292344 | − | 0.0440393i | ||||
\(379\) | 24.6072i | 1.26398i | 0.774975 | + | 0.631992i | \(0.217763\pi\) | ||||
−0.774975 | + | 0.631992i | \(0.782237\pi\) | |||||||
\(380\) | 1.95632 | + | 6.34593i | 0.100357 | + | 0.325539i | ||||
\(381\) | 21.4710i | 1.09999i | ||||||||
\(382\) | −9.75151 | + | 1.46898i | −0.498930 | + | 0.0751598i | ||||
\(383\) | −15.6974 | −0.802098 | −0.401049 | − | 0.916057i | \(-0.631354\pi\) | ||||
−0.401049 | + | 0.916057i | \(0.631354\pi\) | |||||||
\(384\) | −5.66248 | + | 9.79471i | −0.288962 | + | 0.499834i | ||||
\(385\) | 13.7160i | 0.699034i | ||||||||
\(386\) | −16.4598 | + | 2.47953i | −0.837780 | + | 0.126205i | ||||
\(387\) | − | 4.15938i | − | 0.211433i | ||||||
\(388\) | 3.07375 | + | 9.97067i | 0.156046 | + | 0.506184i | ||||
\(389\) | 26.2382 | 1.33033 | 0.665166 | − | 0.746696i | \(-0.268361\pi\) | ||||
0.665166 | + | 0.746696i | \(0.268361\pi\) | |||||||
\(390\) | −0.986203 | − | 6.54667i | −0.0499383 | − | 0.331504i | ||||
\(391\) | −19.8917 | − | 17.3673i | −1.00597 | − | 0.878301i | ||||
\(392\) | −24.2615 | + | 11.6764i | −1.22539 | + | 0.589747i | ||||
\(393\) | 5.33844 | 0.269289 | ||||||||
\(394\) | 2.86424 | + | 19.0135i | 0.144298 | + | 0.957889i | ||||
\(395\) | −1.07399 | −0.0540381 | ||||||||
\(396\) | 2.81144 | + | 9.11977i | 0.141280 | + | 0.458286i | ||||
\(397\) | 8.30576i | 0.416854i | 0.978038 | + | 0.208427i | \(0.0668344\pi\) | ||||
−0.978038 | + | 0.208427i | \(0.933166\pi\) | |||||||
\(398\) | −4.67538 | + | 0.704308i | −0.234356 | + | 0.0353038i | ||||
\(399\) | 19.0816i | 0.955275i | ||||||||
\(400\) | −14.8750 | + | 10.1345i | −0.743752 | + | 0.506724i | ||||
\(401\) | − | 35.9292i | − | 1.79422i | −0.441807 | − | 0.897110i | \(-0.645662\pi\) | ||
0.441807 | − | 0.897110i | \(-0.354338\pi\) | |||||||
\(402\) | 1.90795 | + | 12.6655i | 0.0951601 | + | 0.631697i | ||||
\(403\) | −6.99964 | −0.348677 | ||||||||
\(404\) | −1.35890 | − | 4.40802i | −0.0676078 | − | 0.219307i | ||||
\(405\) | −0.707233 | −0.0351427 | ||||||||
\(406\) | −1.62691 | − | 10.7998i | −0.0807420 | − | 0.535987i | ||||
\(407\) | − | 8.25625i | − | 0.409247i | ||||||
\(408\) | 6.75373 | + | 14.0331i | 0.334359 | + | 0.694742i | ||||
\(409\) | 11.2914 | 0.558323 | 0.279162 | − | 0.960244i | \(-0.409943\pi\) | ||||
0.279162 | + | 0.960244i | \(0.409943\pi\) | |||||||
\(410\) | −2.19048 | + | 0.329978i | −0.108180 | + | 0.0162965i | ||||
\(411\) | − | 9.08294i | − | 0.448028i | ||||||
\(412\) | 34.2982 | − | 10.5734i | 1.68975 | − | 0.520916i | ||||
\(413\) | 12.6560 | 0.622761 | ||||||||
\(414\) | −3.64985 | + | 5.71652i | −0.179380 | + | 0.280952i | ||||
\(415\) | − | 5.03826i | − | 0.247318i | ||||||
\(416\) | 25.4576 | + | 27.4594i | 1.24816 | + | 1.34631i | ||||
\(417\) | −10.3826 | −0.508440 | ||||||||
\(418\) | −31.3276 | + | 4.71925i | −1.53228 | + | 0.230826i | ||||
\(419\) | 11.6838i | 0.570792i | 0.958410 | + | 0.285396i | \(0.0921251\pi\) | ||||
−0.958410 | + | 0.285396i | \(0.907875\pi\) | |||||||
\(420\) | 5.49384 | − | 1.69364i | 0.268072 | − | 0.0826411i | ||||
\(421\) | 24.7806 | 1.20773 | 0.603867 | − | 0.797085i | \(-0.293626\pi\) | ||||
0.603867 | + | 0.797085i | \(0.293626\pi\) | |||||||
\(422\) | 23.6845 | − | 3.56788i | 1.15295 | − | 0.173682i | ||||
\(423\) | 4.75707i | 0.231297i | ||||||||
\(424\) | 31.2333 | − | 15.0317i | 1.51682 | − | 0.730003i | ||||
\(425\) | 24.7766i | 1.20184i | ||||||||
\(426\) | −1.90807 | − | 12.6663i | −0.0924462 | − | 0.613682i | ||||
\(427\) | 22.3421 | 1.08121 | ||||||||
\(428\) | −9.31007 | − | 30.2001i | −0.450019 | − | 1.45978i | ||||
\(429\) | 31.5852 | 1.52495 | ||||||||
\(430\) | −0.619696 | − | 4.11371i | −0.0298844 | − | 0.198380i | ||||
\(431\) | 13.7723 | 0.663390 | 0.331695 | − | 0.943387i | \(-0.392379\pi\) | ||||
0.331695 | + | 0.943387i | \(0.392379\pi\) | |||||||
\(432\) | 3.30569 | − | 2.25220i | 0.159045 | − | 0.108359i | ||||
\(433\) | − | 17.2835i | − | 0.830591i | −0.909687 | − | 0.415295i | \(-0.863678\pi\) | ||
0.909687 | − | 0.415295i | \(-0.136322\pi\) | |||||||
\(434\) | −0.905411 | − | 6.01036i | −0.0434611 | − | 0.288506i | ||||
\(435\) | 1.34382i | 0.0644310i | ||||||||
\(436\) | 12.2624 | − | 3.78024i | 0.587262 | − | 0.181041i | ||||
\(437\) | −16.9607 | − | 14.8082i | −0.811338 | − | 0.708371i | ||||
\(438\) | −12.5971 | + | 1.89765i | −0.601912 | + | 0.0906731i | ||||
\(439\) | − | 38.9937i | − | 1.86107i | −0.366205 | − | 0.930534i | \(-0.619343\pi\) | ||
0.366205 | − | 0.930534i | \(-0.380657\pi\) | |||||||
\(440\) | 4.13930 | + | 8.60077i | 0.197334 | + | 0.410025i | ||||
\(441\) | 9.51946 | 0.453307 | ||||||||
\(442\) | 50.9689 | − | 7.67805i | 2.42434 | − | 0.365207i | ||||
\(443\) | 31.7281 | 1.50745 | 0.753723 | − | 0.657192i | \(-0.228256\pi\) | ||||
0.753723 | + | 0.657192i | \(0.228256\pi\) | |||||||
\(444\) | −3.30697 | + | 1.01947i | −0.156942 | + | 0.0483820i | ||||
\(445\) | 4.98600i | 0.236359i | ||||||||
\(446\) | −1.41793 | − | 9.41258i | −0.0671409 | − | 0.445699i | ||||
\(447\) | −12.7678 | −0.603898 | ||||||||
\(448\) | −20.2855 | + | 25.4115i | −0.958399 | + | 1.20058i | ||||
\(449\) | −38.7315 | −1.82785 | −0.913926 | − | 0.405881i | \(-0.866965\pi\) | ||||
−0.913926 | + | 0.405881i | \(0.866965\pi\) | |||||||
\(450\) | 6.29271 | − | 0.947945i | 0.296641 | − | 0.0446866i | ||||
\(451\) | − | 10.5682i | − | 0.497639i | ||||||
\(452\) | 3.47016 | + | 11.2565i | 0.163223 | + | 0.529463i | ||||
\(453\) | 9.49209i | 0.445977i | ||||||||
\(454\) | −3.76311 | − | 24.9805i | −0.176612 | − | 1.17240i | ||||
\(455\) | − | 19.0273i | − | 0.892012i | ||||||
\(456\) | 5.75855 | + | 11.9653i | 0.269669 | + | 0.560326i | ||||
\(457\) | − | 6.73265i | − | 0.314940i | −0.987524 | − | 0.157470i | \(-0.949666\pi\) | ||
0.987524 | − | 0.157470i | \(-0.0503338\pi\) | |||||||
\(458\) | −29.8547 | + | 4.49736i | −1.39502 | + | 0.210148i | ||||
\(459\) | − | 5.50614i | − | 0.257005i | ||||||
\(460\) | −2.75808 | + | 6.19753i | −0.128596 | + | 0.288962i | ||||
\(461\) | 19.7534i | 0.920008i | 0.887917 | + | 0.460004i | \(0.152152\pi\) | ||||
−0.887917 | + | 0.460004i | \(0.847848\pi\) | |||||||
\(462\) | 4.08558 | + | 27.1212i | 0.190079 | + | 1.26179i | ||||
\(463\) | 29.3453i | 1.36379i | 0.731450 | + | 0.681895i | \(0.238844\pi\) | ||||
−0.731450 | + | 0.681895i | \(0.761156\pi\) | |||||||
\(464\) | −4.27940 | − | 6.28116i | −0.198666 | − | 0.291595i | ||||
\(465\) | 0.747864i | 0.0346814i | ||||||||
\(466\) | −30.3734 | + | 4.57550i | −1.40702 | + | 0.211956i | ||||
\(467\) | 20.2814i | 0.938513i | 0.883062 | + | 0.469256i | \(0.155478\pi\) | ||||
−0.883062 | + | 0.469256i | \(0.844522\pi\) | |||||||
\(468\) | −3.90010 | − | 12.6512i | −0.180282 | − | 0.584802i | ||||
\(469\) | 36.8110i | 1.69977i | ||||||||
\(470\) | 0.708745 | + | 4.70483i | 0.0326920 | + | 0.217018i | ||||
\(471\) | −17.7700 | −0.818800 | ||||||||
\(472\) | 7.93605 | − | 3.81940i | 0.365286 | − | 0.175802i | ||||
\(473\) | 19.8471 | 0.912569 | ||||||||
\(474\) | −2.12363 | + | 0.319907i | −0.0975414 | + | 0.0146938i | ||||
\(475\) | 21.1258i | 0.969316i | ||||||||
\(476\) | 13.1858 | + | 42.7721i | 0.604369 | + | 1.96046i | ||||
\(477\) | −12.2549 | −0.561115 | ||||||||
\(478\) | −2.50674 | − | 16.6404i | −0.114656 | − | 0.761114i | ||||
\(479\) | 35.5698 | 1.62523 | 0.812613 | − | 0.582803i | \(-0.198044\pi\) | ||||
0.812613 | + | 0.582803i | \(0.198044\pi\) | |||||||
\(480\) | 2.93385 | − | 2.71997i | 0.133911 | − | 0.124149i | ||||
\(481\) | 11.4533i | 0.522225i | ||||||||
\(482\) | 6.27633 | + | 41.6639i | 0.285879 | + | 1.89774i | ||||
\(483\) | −12.8198 | + | 14.6833i | −0.583323 | + | 0.668113i | ||||
\(484\) | −22.4927 | + | 6.93403i | −1.02239 | + | 0.315183i | ||||
\(485\) | − | 3.68953i | − | 0.167533i | ||||||
\(486\) | −1.39844 | + | 0.210663i | −0.0634343 | + | 0.00955586i | ||||
\(487\) | − | 36.2640i | − | 1.64328i | −0.570009 | − | 0.821638i | \(-0.693060\pi\) | ||
0.570009 | − | 0.821638i | \(-0.306940\pi\) | |||||||
\(488\) | 14.0098 | − | 6.74251i | 0.634193 | − | 0.305219i | ||||
\(489\) | −4.80484 | −0.217282 | ||||||||
\(490\) | 9.41493 | − | 1.41828i | 0.425323 | − | 0.0640715i | ||||
\(491\) | 14.1989 | 0.640786 | 0.320393 | − | 0.947285i | \(-0.396185\pi\) | ||||
0.320393 | + | 0.947285i | \(0.396185\pi\) | |||||||
\(492\) | −4.23302 | + | 1.30495i | −0.190839 | + | 0.0588318i | ||||
\(493\) | −10.4622 | −0.471195 | ||||||||
\(494\) | 43.4585 | − | 6.54667i | 1.95529 | − | 0.294549i | ||||
\(495\) | − | 3.37467i | − | 0.151680i | ||||||
\(496\) | −2.38159 | − | 3.49561i | −0.106936 | − | 0.156957i | ||||
\(497\) | − | 36.8132i | − | 1.65130i | ||||||
\(498\) | −1.50074 | − | 9.96232i | −0.0672498 | − | 0.446422i | ||||
\(499\) | −30.1022 | −1.34756 | −0.673779 | − | 0.738933i | \(-0.735330\pi\) | ||||
−0.673779 | + | 0.738933i | \(0.735330\pi\) | |||||||
\(500\) | 12.8409 | − | 3.95857i | 0.574260 | − | 0.177033i | ||||
\(501\) | − | 10.3203i | − | 0.461075i | ||||||
\(502\) | 0.211820 | + | 1.40612i | 0.00945399 | + | 0.0627580i | ||||
\(503\) | −27.6492 | −1.23282 | −0.616409 | − | 0.787426i | \(-0.711413\pi\) | ||||
−0.616409 | + | 0.787426i | \(0.711413\pi\) | |||||||
\(504\) | 10.3587 | − | 4.98533i | 0.461412 | − | 0.222064i | ||||
\(505\) | 1.63114i | 0.0725846i | ||||||||
\(506\) | −27.2772 | − | 17.4158i | −1.21262 | − | 0.774226i | ||||
\(507\) | −30.8159 | −1.36858 | ||||||||
\(508\) | 12.6507 | + | 41.0363i | 0.561282 | + | 1.82069i | ||||
\(509\) | 14.6086i | 0.647517i | 0.946140 | + | 0.323758i | \(0.104946\pi\) | ||||
−0.946140 | + | 0.323758i | \(0.895054\pi\) | |||||||
\(510\) | −0.820347 | − | 5.44568i | −0.0363256 | − | 0.241139i | ||||
\(511\) | −36.6122 | −1.61963 | ||||||||
\(512\) | −5.05136 | + | 22.0564i | −0.223241 | + | 0.974763i | ||||
\(513\) | − | 4.69480i | − | 0.207280i | ||||||
\(514\) | −17.9021 | + | 2.69680i | −0.789627 | + | 0.118951i | ||||
\(515\) | −12.6917 | −0.559262 | ||||||||
\(516\) | −2.45069 | − | 7.94958i | −0.107886 | − | 0.349961i | ||||
\(517\) | −22.6990 | −0.998303 | ||||||||
\(518\) | −9.83456 | + | 1.48150i | −0.432106 | + | 0.0650932i | ||||
\(519\) | − | 9.29934i | − | 0.408196i | ||||||
\(520\) | −5.74215 | − | 11.9312i | −0.251810 | − | 0.523218i | ||||
\(521\) | 22.8769i | 1.00225i | 0.865374 | + | 0.501127i | \(0.167081\pi\) | ||||
−0.865374 | + | 0.501127i | \(0.832919\pi\) | |||||||
\(522\) | 0.400281 | + | 2.65717i | 0.0175198 | + | 0.116301i | ||||
\(523\) | − | 17.6456i | − | 0.771588i | −0.922585 | − | 0.385794i | \(-0.873927\pi\) | ||
0.922585 | − | 0.385794i | \(-0.126073\pi\) | |||||||
\(524\) | 10.2031 | − | 3.14539i | 0.445723 | − | 0.137407i | ||||
\(525\) | 18.2891 | 0.798203 | ||||||||
\(526\) | 29.3385 | − | 4.41961i | 1.27922 | − | 0.192704i | ||||
\(527\) | −5.82247 | −0.253631 | ||||||||
\(528\) | 10.7467 | + | 15.7736i | 0.467689 | + | 0.686458i | ||||
\(529\) | −3.10246 | − | 22.7898i | −0.134889 | − | 0.990861i | ||||
\(530\) | −12.1204 | + | 1.82584i | −0.526475 | + | 0.0793092i | ||||
\(531\) | −3.11385 | −0.135130 | ||||||||
\(532\) | 11.2428 | + | 36.4696i | 0.487438 | + | 1.58116i | ||||
\(533\) | 14.6605i | 0.635019i | ||||||||
\(534\) | 1.48517 | + | 9.85897i | 0.0642697 | + | 0.426639i | ||||
\(535\) | 11.1752i | 0.483146i | ||||||||
\(536\) | 11.1090 | + | 23.0827i | 0.479837 | + | 0.997019i | ||||
\(537\) | −13.1531 | −0.567599 | ||||||||
\(538\) | −3.54839 | − | 23.5552i | −0.152982 | − | 1.01554i | ||||
\(539\) | 45.4235i | 1.95653i | ||||||||
\(540\) | −1.35169 | + | 0.416699i | −0.0581676 | + | 0.0179319i | ||||
\(541\) | − | 29.4325i | − | 1.26540i | −0.774397 | − | 0.632700i | \(-0.781947\pi\) | ||
0.774397 | − | 0.632700i | \(-0.218053\pi\) | |||||||
\(542\) | 3.03769 | + | 20.1650i | 0.130480 | + | 0.866160i | ||||
\(543\) | 26.0882 | 1.11955 | ||||||||
\(544\) | 21.1763 | + | 22.8414i | 0.907925 | + | 0.979316i | ||||
\(545\) | −4.53756 | −0.194368 | ||||||||
\(546\) | −5.66763 | − | 37.6232i | −0.242552 | − | 1.61013i | ||||
\(547\) | 35.5765 | 1.52114 | 0.760571 | − | 0.649255i | \(-0.224919\pi\) | ||||
0.760571 | + | 0.649255i | \(0.224919\pi\) | |||||||
\(548\) | −5.35164 | − | 17.3597i | −0.228611 | − | 0.741569i | ||||
\(549\) | −5.49700 | −0.234606 | ||||||||
\(550\) | 4.52326 | + | 30.0266i | 0.192872 | + | 1.28034i | ||||
\(551\) | −8.92060 | −0.380030 | ||||||||
\(552\) | −3.60759 | + | 13.0761i | −0.153549 | + | 0.556557i | ||||
\(553\) | −6.17211 | −0.262465 | ||||||||
\(554\) | 4.24574 | + | 28.1843i | 0.180384 | + | 1.19744i | ||||
\(555\) | 1.22371 | 0.0519435 | ||||||||
\(556\) | −19.8438 | + | 6.11742i | −0.841563 | + | 0.259436i | ||||
\(557\) | −8.06756 | −0.341833 | −0.170917 | − | 0.985285i | \(-0.554673\pi\) | ||||
−0.170917 | + | 0.985285i | \(0.554673\pi\) | |||||||
\(558\) | 0.222766 | + | 1.47878i | 0.00943042 | + | 0.0626016i | ||||
\(559\) | −27.5324 | −1.16450 | ||||||||
\(560\) | 9.50218 | − | 6.47391i | 0.401540 | − | 0.273573i | ||||
\(561\) | 26.2734 | 1.10926 | ||||||||
\(562\) | −2.30446 | − | 15.2976i | −0.0972078 | − | 0.645291i | ||||
\(563\) | − | 31.5966i | − | 1.33164i | −0.746113 | − | 0.665820i | \(-0.768082\pi\) | ||
0.746113 | − | 0.665820i | \(-0.231918\pi\) | |||||||
\(564\) | 2.80285 | + | 9.09191i | 0.118021 | + | 0.382838i | ||||
\(565\) | − | 4.16536i | − | 0.175238i | ||||||
\(566\) | 2.21028 | + | 14.6724i | 0.0929048 | + | 0.616727i | ||||
\(567\) | −4.06441 | −0.170689 | ||||||||
\(568\) | −11.1097 | − | 23.0841i | −0.466153 | − | 0.968586i | ||||
\(569\) | 30.9949i | 1.29937i | 0.760202 | + | 0.649687i | \(0.225100\pi\) | ||||
−0.760202 | + | 0.649687i | \(0.774900\pi\) | |||||||
\(570\) | −0.699468 | − | 4.64325i | −0.0292975 | − | 0.194484i | ||||
\(571\) | − | 4.59140i | − | 0.192144i | −0.995374 | − | 0.0960720i | \(-0.969372\pi\) | ||
0.995374 | − | 0.0960720i | \(-0.0306279\pi\) | |||||||
\(572\) | 60.3670 | − | 18.6099i | 2.52407 | − | 0.778119i | ||||
\(573\) | 6.97316 | 0.291308 | ||||||||
\(574\) | −12.5885 | + | 1.89636i | −0.525435 | + | 0.0791524i | ||||
\(575\) | −14.1932 | + | 16.2563i | −0.591897 | + | 0.677933i | ||||
\(576\) | 4.99100 | − | 6.25220i | 0.207958 | − | 0.260508i | ||||
\(577\) | 17.3568 | 0.722572 | 0.361286 | − | 0.932455i | \(-0.382338\pi\) | ||||
0.361286 | + | 0.932455i | \(0.382338\pi\) | |||||||
\(578\) | 18.6238 | − | 2.80552i | 0.774646 | − | 0.116694i | ||||
\(579\) | 11.7701 | 0.489150 | ||||||||
\(580\) | 0.791772 | + | 2.56836i | 0.0328765 | + | 0.106645i | ||||
\(581\) | − | 28.9545i | − | 1.20123i | ||||||
\(582\) | −1.09900 | − | 7.29543i | −0.0455549 | − | 0.302405i | ||||
\(583\) | − | 58.4762i | − | 2.42184i | ||||||
\(584\) | −22.9580 | + | 11.0490i | −0.950008 | + | 0.457212i | ||||
\(585\) | 4.68143i | 0.193553i | ||||||||
\(586\) | −8.04522 | + | 1.21195i | −0.332345 | + | 0.0500650i | ||||
\(587\) | −24.4037 | −1.00725 | −0.503624 | − | 0.863923i | \(-0.668000\pi\) | ||||
−0.503624 | + | 0.863923i | \(0.668000\pi\) | |||||||
\(588\) | 18.1940 | − | 5.60883i | 0.750307 | − | 0.231304i | ||||
\(589\) | −4.96452 | −0.204559 | ||||||||
\(590\) | −3.07966 | + | 0.463926i | −0.126788 | + | 0.0190995i | ||||
\(591\) | − | 13.5963i | − | 0.559277i | ||||||
\(592\) | −5.71975 | + | 3.89691i | −0.235080 | + | 0.160162i | ||||
\(593\) | −20.0748 | −0.824372 | −0.412186 | − | 0.911100i | \(-0.635235\pi\) | ||||
−0.412186 | + | 0.911100i | \(0.635235\pi\) | |||||||
\(594\) | −1.00521 | − | 6.67284i | −0.0412442 | − | 0.273790i | ||||
\(595\) | − | 15.8273i | − | 0.648857i | ||||||
\(596\) | −24.4024 | + | 7.52277i | −0.999563 | + | 0.308145i | ||||
\(597\) | 3.34329 | 0.136832 | ||||||||
\(598\) | 37.8397 | + | 24.1596i | 1.54738 | + | 0.987961i | ||||
\(599\) | − | 22.0543i | − | 0.901114i | −0.892748 | − | 0.450557i | \(-0.851225\pi\) | ||
0.892748 | − | 0.450557i | \(-0.148775\pi\) | |||||||
\(600\) | 11.4684 | − | 5.51940i | 0.468194 | − | 0.225328i | ||||
\(601\) | 42.7799 | 1.74503 | 0.872514 | − | 0.488589i | \(-0.162488\pi\) | ||||
0.872514 | + | 0.488589i | \(0.162488\pi\) | |||||||
\(602\) | −3.56134 | − | 23.6411i | −0.145150 | − | 0.963541i | ||||
\(603\) | − | 9.05690i | − | 0.368826i | ||||||
\(604\) | 5.59271 | + | 18.1417i | 0.227564 | + | 0.738174i | ||||
\(605\) | 8.32315 | 0.338384 | ||||||||
\(606\) | 0.485865 | + | 3.22530i | 0.0197369 | + | 0.131019i | ||||
\(607\) | − | 10.6180i | − | 0.430971i | −0.976507 | − | 0.215485i | \(-0.930867\pi\) | ||
0.976507 | − | 0.215485i | \(-0.0691334\pi\) | |||||||
\(608\) | 18.0559 | + | 19.4757i | 0.732263 | + | 0.789842i | ||||
\(609\) | 7.72280i | 0.312944i | ||||||||
\(610\) | −5.43664 | + | 0.818985i | −0.220123 | + | 0.0331597i | ||||
\(611\) | 31.4887 | 1.27390 | ||||||||
\(612\) | −3.24420 | − | 10.5236i | −0.131139 | − | 0.425390i | ||||
\(613\) | −4.65784 | −0.188128 | −0.0940642 | − | 0.995566i | \(-0.529986\pi\) | ||||
−0.0940642 | + | 0.995566i | \(0.529986\pi\) | |||||||
\(614\) | 19.0850 | − | 2.87499i | 0.770206 | − | 0.116025i | ||||
\(615\) | 1.56638 | 0.0631625 | ||||||||
\(616\) | 23.7882 | + | 49.4279i | 0.958456 | + | 1.99151i | ||||
\(617\) | − | 17.2443i | − | 0.694231i | −0.937822 | − | 0.347115i | \(-0.887161\pi\) | ||
0.937822 | − | 0.347115i | \(-0.112839\pi\) | |||||||
\(618\) | −25.0956 | + | 3.78045i | −1.00949 | + | 0.152072i | ||||
\(619\) | − | 18.0162i | − | 0.724131i | −0.932153 | − | 0.362066i | \(-0.882072\pi\) | ||
0.932153 | − | 0.362066i | \(-0.117928\pi\) | |||||||
\(620\) | 0.440639 | + | 1.42935i | 0.0176965 | + | 0.0574041i | ||||
\(621\) | 3.15417 | − | 3.61265i | 0.126572 | − | 0.144971i | ||||
\(622\) | 3.06598 | + | 20.3528i | 0.122934 | + | 0.816071i | ||||
\(623\) | 28.6541i | 1.14800i | ||||||||
\(624\) | −14.9081 | − | 21.8816i | −0.596801 | − | 0.875964i | ||||
\(625\) | 17.7475 | 0.709900 | ||||||||
\(626\) | −3.48325 | − | 23.1228i | −0.139219 | − | 0.924171i | ||||
\(627\) | 22.4019 | 0.894647 | ||||||||
\(628\) | −33.9629 | + | 10.4701i | −1.35527 | + | 0.417801i | ||||
\(629\) | 9.52712i | 0.379871i | ||||||||
\(630\) | −4.01979 | + | 0.605548i | −0.160152 | + | 0.0241256i | ||||
\(631\) | −3.98228 | −0.158532 | −0.0792661 | − | 0.996853i | \(-0.525258\pi\) | ||||
−0.0792661 | + | 0.996853i | \(0.525258\pi\) | |||||||
\(632\) | −3.87028 | + | 1.86265i | −0.153951 | + | 0.0740924i | ||||
\(633\) | −16.9365 | −0.673164 | ||||||||
\(634\) | 5.63899 | + | 37.4331i | 0.223953 | + | 1.48666i | ||||
\(635\) | − | 15.1850i | − | 0.602599i | ||||||
\(636\) | −23.4221 | + | 7.22057i | −0.928749 | + | 0.286314i | ||||
\(637\) | − | 63.0127i | − | 2.49665i | ||||||
\(638\) | −12.6791 | + | 1.91000i | −0.501969 | + | 0.0756176i | ||||
\(639\) | 9.05745i | 0.358307i | ||||||||
\(640\) | 4.00469 | − | 6.92714i | 0.158299 | − | 0.273819i | ||||
\(641\) | − | 29.4471i | − | 1.16309i | −0.813514 | − | 0.581545i | \(-0.802448\pi\) | ||
0.813514 | − | 0.581545i | \(-0.197552\pi\) | |||||||
\(642\) | 3.32875 | + | 22.0971i | 0.131375 | + | 0.872103i | ||||
\(643\) | − | 28.1113i | − | 1.10860i | −0.832316 | − | 0.554301i | \(-0.812986\pi\) | ||
0.832316 | − | 0.554301i | \(-0.187014\pi\) | |||||||
\(644\) | −15.8505 | + | 35.6167i | −0.624596 | + | 1.40350i | ||||
\(645\) | 2.94165i | 0.115827i | ||||||||
\(646\) | 36.1499 | − | 5.44568i | 1.42230 | − | 0.214257i | ||||
\(647\) | 31.7123i | 1.24674i | 0.781927 | + | 0.623370i | \(0.214237\pi\) | ||||
−0.781927 | + | 0.623370i | \(0.785763\pi\) | |||||||
\(648\) | −2.54863 | + | 1.22658i | −0.100120 | + | 0.0481847i | ||||
\(649\) | − | 14.8582i | − | 0.583236i | ||||||
\(650\) | −6.27479 | − | 41.6537i | −0.246117 | − | 1.63379i | ||||
\(651\) | 4.29792i | 0.168449i | ||||||||
\(652\) | −9.18321 | + | 2.83099i | −0.359642 | + | 0.110870i | ||||
\(653\) | − | 23.1253i | − | 0.904963i | −0.891774 | − | 0.452482i | \(-0.850539\pi\) | ||
0.891774 | − | 0.452482i | \(-0.149461\pi\) | |||||||
\(654\) | −8.97226 | + | 1.35160i | −0.350843 | + | 0.0528517i | ||||
\(655\) | −3.77552 | −0.147522 | ||||||||
\(656\) | −7.32145 | + | 4.98816i | −0.285855 | + | 0.194755i | ||||
\(657\) | 9.00798 | 0.351435 | ||||||||
\(658\) | 4.07310 | + | 27.0383i | 0.158786 | + | 1.05406i | ||||
\(659\) | − | 17.6062i | − | 0.685840i | −0.939365 | − | 0.342920i | \(-0.888584\pi\) | ||
0.939365 | − | 0.342920i | \(-0.111416\pi\) | |||||||
\(660\) | −1.98834 | − | 6.44981i | −0.0773961 | − | 0.251058i | ||||
\(661\) | 30.0716 | 1.16965 | 0.584825 | − | 0.811159i | \(-0.301163\pi\) | ||||
0.584825 | + | 0.811159i | \(0.301163\pi\) | |||||||
\(662\) | −20.5419 | + | 3.09446i | −0.798382 | + | 0.120270i | ||||
\(663\) | −36.4471 | −1.41549 | ||||||||
\(664\) | −8.73804 | − | 18.1562i | −0.339102 | − | 0.704596i | ||||
\(665\) | − | 13.4951i | − | 0.523319i | ||||||
\(666\) | 2.41967 | − | 0.364504i | 0.0937605 | − | 0.0141243i | ||||
\(667\) | −6.86440 | − | 5.99324i | −0.265791 | − | 0.232059i | ||||
\(668\) | −6.08067 | − | 19.7245i | −0.235268 | − | 0.763165i | ||||
\(669\) | 6.73080i | 0.260228i | ||||||||
\(670\) | −1.34937 | − | 8.95746i | −0.0521306 | − | 0.346057i | ||||
\(671\) | − | 26.2297i | − | 1.01259i | ||||||
\(672\) | 16.8606 | − | 15.6315i | 0.650412 | − | 0.602997i | ||||
\(673\) | −1.80969 | −0.0697586 | −0.0348793 | − | 0.999392i | \(-0.511105\pi\) | ||||
−0.0348793 | + | 0.999392i | \(0.511105\pi\) | |||||||
\(674\) | −4.60775 | − | 30.5875i | −0.177484 | − | 1.17819i | ||||
\(675\) | −4.49982 | −0.173198 | ||||||||
\(676\) | −58.8966 | + | 18.1566i | −2.26525 | + | 0.698331i | ||||
\(677\) | −8.31892 | −0.319722 | −0.159861 | − | 0.987140i | \(-0.551105\pi\) | ||||
−0.159861 | + | 0.987140i | \(0.551105\pi\) | |||||||
\(678\) | −1.24073 | − | 8.23629i | −0.0476500 | − | 0.316313i | ||||
\(679\) | − | 21.2034i | − | 0.813713i | ||||||
\(680\) | −4.77646 | − | 9.92467i | −0.183169 | − | 0.380594i | ||||
\(681\) | 17.8632i | 0.684520i | ||||||||
\(682\) | −7.05620 | + | 1.06296i | −0.270196 | + | 0.0407028i | ||||
\(683\) | −33.8876 | −1.29667 | −0.648336 | − | 0.761354i | \(-0.724535\pi\) | ||||
−0.648336 | + | 0.761354i | \(0.724535\pi\) | |||||||
\(684\) | −2.76616 | − | 8.97290i | −0.105767 | − | 0.343087i | ||||
\(685\) | 6.42375i | 0.245439i | ||||||||
\(686\) | 14.3201 | − | 2.15721i | 0.546745 | − | 0.0823627i | ||||
\(687\) | 21.3486 | 0.814501 | ||||||||
\(688\) | −9.36773 | − | 13.7496i | −0.357141 | − | 0.524200i | ||||
\(689\) | 81.1198i | 3.09042i | ||||||||
\(690\) | 2.58129 | − | 4.04291i | 0.0982682 | − | 0.153911i | ||||
\(691\) | −11.6171 | −0.441935 | −0.220967 | − | 0.975281i | \(-0.570921\pi\) | ||||
−0.220967 | + | 0.975281i | \(0.570921\pi\) | |||||||
\(692\) | −5.47914 | − | 17.7733i | −0.208286 | − | 0.675639i | ||||
\(693\) | − | 19.3939i | − | 0.736715i | ||||||
\(694\) | −7.67309 | + | 1.15589i | −0.291267 | + | 0.0438769i | ||||
\(695\) | 7.34295 | 0.278534 | ||||||||
\(696\) | 2.33063 | + | 4.84265i | 0.0883423 | + | 0.183560i | ||||
\(697\) | 12.1950i | 0.461918i | ||||||||
\(698\) | 2.73562 | + | 18.1598i | 0.103545 | + | 0.687357i | ||||
\(699\) | 21.7195 | 0.821508 | ||||||||
\(700\) | 34.9550 | − | 10.7759i | 1.32117 | − | 0.407291i | ||||
\(701\) | 4.60701 | 0.174004 | 0.0870022 | − | 0.996208i | \(-0.472271\pi\) | ||||
0.0870022 | + | 0.996208i | \(0.472271\pi\) | |||||||
\(702\) | 1.39445 | + | 9.25674i | 0.0526302 | + | 0.349373i | ||||
\(703\) | 8.12329i | 0.306376i | ||||||||
\(704\) | 29.8333 | + | 23.8153i | 1.12438 | + | 0.897572i | ||||
\(705\) | − | 3.36436i | − | 0.126709i | ||||||
\(706\) | 32.7205 | − | 4.92907i | 1.23145 | − | 0.185508i | ||||
\(707\) | 9.37401i | 0.352546i | ||||||||
\(708\) | −5.95133 | + | 1.83467i | −0.223665 | + | 0.0689512i | ||||
\(709\) | −34.7022 | −1.30327 | −0.651634 | − | 0.758534i | \(-0.725916\pi\) | ||||
−0.651634 | + | 0.758534i | \(0.725916\pi\) | |||||||
\(710\) | 1.34945 | + | 8.95800i | 0.0506439 | + | 0.336188i | ||||
\(711\) | 1.51857 | 0.0569509 | ||||||||
\(712\) | 8.64740 | + | 17.9678i | 0.324075 | + | 0.673373i | ||||
\(713\) | −3.82020 | − | 3.33538i | −0.143068 | − | 0.124911i | ||||
\(714\) | −4.71447 | − | 31.2959i | −0.176435 | − | 1.17122i | ||||
\(715\) | −22.3381 | −0.835398 | ||||||||
\(716\) | −25.1388 | + | 7.74978i | −0.939482 | + | 0.289623i | ||||
\(717\) | 11.8993i | 0.444387i | ||||||||
\(718\) | 8.79750 | − | 1.32527i | 0.328320 | − | 0.0494587i | ||||
\(719\) | 21.8256i | 0.813958i | 0.913438 | + | 0.406979i | \(0.133418\pi\) | ||||
−0.913438 | + | 0.406979i | \(0.866582\pi\) | |||||||
\(720\) | −2.33790 | + | 1.59283i | −0.0871283 | + | 0.0593612i | ||||
\(721\) | −72.9380 | −2.71635 | ||||||||
\(722\) | 4.25284 | − | 0.640655i | 0.158274 | − | 0.0238427i | ||||
\(723\) | − | 29.7933i | − | 1.10802i | ||||||
\(724\) | 49.8609 | − | 15.3711i | 1.85307 | − | 0.571262i | ||||
\(725\) | 8.55012i | 0.317543i | ||||||||
\(726\) | 16.4576 | − | 2.47921i | 0.610800 | − | 0.0920121i | ||||
\(727\) | 4.07669 | 0.151196 | 0.0755981 | − | 0.997138i | \(-0.475913\pi\) | ||||
0.0755981 | + | 0.997138i | \(0.475913\pi\) | |||||||
\(728\) | −32.9997 | − | 68.5677i | −1.22305 | − | 2.54129i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 8.90907 | − | 1.34208i | 0.329739 | − | 0.0496726i | ||||
\(731\) | −22.9021 | −0.847065 | ||||||||
\(732\) | −10.5061 | + | 3.23881i | −0.388316 | + | 0.119710i | ||||
\(733\) | −17.3134 | −0.639486 | −0.319743 | − | 0.947504i | \(-0.603597\pi\) | ||||
−0.319743 | + | 0.947504i | \(0.603597\pi\) | |||||||
\(734\) | 3.97650 | − | 0.599027i | 0.146775 | − | 0.0221105i | ||||
\(735\) | −6.73248 | −0.248331 | ||||||||
\(736\) | 0.809439 | + | 27.1172i | 0.0298363 | + | 0.999555i | ||||
\(737\) | 43.2163 | 1.59189 | ||||||||
\(738\) | 3.09725 | − | 0.466576i | 0.114011 | − | 0.0171749i | ||||
\(739\) | 39.4205 | 1.45011 | 0.725054 | − | 0.688692i | \(-0.241815\pi\) | ||||
0.725054 | + | 0.688692i | \(0.241815\pi\) | |||||||
\(740\) | 2.33880 | − | 0.721004i | 0.0859760 | − | 0.0265046i | ||||
\(741\) | −31.0765 | −1.14163 | ||||||||
\(742\) | −69.6548 | + | 10.4929i | −2.55711 | + | 0.385208i | ||||
\(743\) | 16.5094 | 0.605672 | 0.302836 | − | 0.953043i | \(-0.402067\pi\) | ||||
0.302836 | + | 0.953043i | \(0.402067\pi\) | |||||||
\(744\) | 1.29705 | + | 2.69505i | 0.0475521 | + | 0.0988052i | ||||
\(745\) | 9.02984 | 0.330828 | ||||||||
\(746\) | 6.27695 | − | 0.945572i | 0.229816 | − | 0.0346198i | ||||
\(747\) | 7.12390i | 0.260650i | ||||||||
\(748\) | 50.2147 | − | 15.4802i | 1.83603 | − | 0.566011i | ||||
\(749\) | 64.2230i | 2.34666i | ||||||||
\(750\) | −9.39551 | + | 1.41536i | −0.343076 | + | 0.0516815i | ||||
\(751\) | 13.8860 | 0.506708 | 0.253354 | − | 0.967374i | \(-0.418466\pi\) | ||||
0.253354 | + | 0.967374i | \(0.418466\pi\) | |||||||
\(752\) | 10.7138 | + | 15.7254i | 0.390694 | + | 0.573447i | ||||
\(753\) | − | 1.00549i | − | 0.0366422i | ||||||
\(754\) | 17.5888 | − | 2.64960i | 0.640545 | − | 0.0964928i | ||||
\(755\) | − | 6.71312i | − | 0.244315i | ||||||
\(756\) | −7.76808 | + | 2.39474i | −0.282522 | + | 0.0870958i | ||||
\(757\) | −11.5324 | −0.419151 | −0.209575 | − | 0.977792i | \(-0.567208\pi\) | ||||
−0.209575 | + | 0.977792i | \(0.567208\pi\) | |||||||
\(758\) | −5.18381 | − | 34.4115i | −0.188285 | − | 1.24988i | ||||
\(759\) | 17.2383 | + | 15.0506i | 0.625710 | + | 0.546301i | ||||
\(760\) | −4.07264 | − | 8.46225i | −0.147730 | − | 0.306958i | ||||
\(761\) | 17.3262 | 0.628074 | 0.314037 | − | 0.949411i | \(-0.398318\pi\) | ||||
0.314037 | + | 0.949411i | \(0.398318\pi\) | |||||||
\(762\) | −4.52315 | − | 30.0258i | −0.163856 | − | 1.08772i | ||||
\(763\) | −26.0770 | −0.944050 | ||||||||
\(764\) | 13.3274 | − | 4.10856i | 0.482168 | − | 0.148642i | ||||
\(765\) | 3.89412i | 0.140792i | ||||||||
\(766\) | 21.9517 | − | 3.30685i | 0.793149 | − | 0.119481i | ||||
\(767\) | 20.6117i | 0.744246i | ||||||||
\(768\) | 5.85523 | − | 14.8901i | 0.211283 | − | 0.537302i | ||||
\(769\) | 14.8399i | 0.535141i | 0.963538 | + | 0.267571i | \(0.0862209\pi\) | ||||
−0.963538 | + | 0.267571i | \(0.913779\pi\) | |||||||
\(770\) | −2.88946 | − | 19.1810i | −0.104129 | − | 0.691235i | ||||
\(771\) | 12.8015 | 0.461035 | ||||||||
\(772\) | 22.4956 | − | 6.93492i | 0.809633 | − | 0.249593i | ||||
\(773\) | 26.2957 | 0.945792 | 0.472896 | − | 0.881118i | \(-0.343209\pi\) | ||||
0.472896 | + | 0.881118i | \(0.343209\pi\) | |||||||
\(774\) | 0.876226 | + | 5.81662i | 0.0314953 | + | 0.209074i | ||||
\(775\) | 4.75834i | 0.170925i | ||||||||
\(776\) | −6.39889 | − | 13.2958i | −0.229707 | − | 0.477292i | ||||
\(777\) | 7.03255 | 0.252291 | ||||||||
\(778\) | −36.6925 | + | 5.52742i | −1.31549 | + | 0.198168i | ||||
\(779\) | 10.3980i | 0.372548i | ||||||||
\(780\) | 2.75828 | + | 8.94734i | 0.0987623 | + | 0.320366i | ||||
\(781\) | −43.2190 | −1.54650 | ||||||||
\(782\) | 31.4760 | + | 20.0966i | 1.12558 | + | 0.718652i | ||||
\(783\) | − | 1.90010i | − | 0.0679041i | ||||||
\(784\) | 31.4684 | − | 21.4397i | 1.12387 | − | 0.765703i | ||||
\(785\) | 12.5676 | 0.448556 | ||||||||
\(786\) | −7.46547 | + | 1.12461i | −0.266284 | + | 0.0401136i | ||||
\(787\) | 46.7539i | 1.66659i | 0.552825 | + | 0.833297i | \(0.313550\pi\) | ||||
−0.552825 | + | 0.833297i | \(0.686450\pi\) | |||||||
\(788\) | −8.01089 | − | 25.9858i | −0.285376 | − | 0.925707i | ||||
\(789\) | −20.9795 | −0.746891 | ||||||||
\(790\) | 1.50190 | − | 0.226249i | 0.0534352 | − | 0.00804957i | ||||
\(791\) | − | 23.9380i | − | 0.851136i | ||||||
\(792\) | −5.85281 | − | 12.1611i | −0.207971 | − | 0.432128i | ||||
\(793\) | 36.3866i | 1.29212i | ||||||||
\(794\) | −1.74972 | − | 11.6151i | −0.0620951 | − | 0.412204i | ||||
\(795\) | 8.66710 | 0.307390 | ||||||||
\(796\) | 6.38984 | − | 1.96986i | 0.226482 | − | 0.0698197i | ||||
\(797\) | −6.06463 | −0.214820 | −0.107410 | − | 0.994215i | \(-0.534256\pi\) | ||||
−0.107410 | + | 0.994215i | \(0.534256\pi\) | |||||||
\(798\) | −4.01979 | − | 26.6844i | −0.142299 | − | 0.944617i | ||||
\(799\) | 26.1931 | 0.926644 | ||||||||
\(800\) | 18.6668 | − | 17.3060i | 0.659972 | − | 0.611860i | ||||
\(801\) | − | 7.05000i | − | 0.249100i | ||||||
\(802\) | 7.56895 | + | 50.2447i | 0.267269 | + | 1.77420i | ||||
\(803\) | 42.9829i | 1.51683i | ||||||||
\(804\) | −5.33630 | − | 17.3099i | −0.188197 | − | 0.610474i | ||||
\(805\) | 9.06662 | − | 10.3845i | 0.319556 | − | 0.366006i | ||||
\(806\) | 9.78855 | − | 1.47456i | 0.344787 | − | 0.0519393i | ||||
\(807\) | 16.8439i | 0.592935i | ||||||||
\(808\) | 2.82894 | + | 5.87805i | 0.0995217 | + | 0.206789i | ||||
\(809\) | 34.6645 | 1.21874 | 0.609370 | − | 0.792886i | \(-0.291422\pi\) | ||||
0.609370 | + | 0.792886i | \(0.291422\pi\) | |||||||
\(810\) | 0.989020 | − | 0.148988i | 0.0347506 | − | 0.00523490i | ||||
\(811\) | −17.1291 | −0.601483 | −0.300742 | − | 0.953706i | \(-0.597234\pi\) | ||||
−0.300742 | + | 0.953706i | \(0.597234\pi\) | |||||||
\(812\) | 4.55025 | + | 14.7601i | 0.159682 | + | 0.517980i | ||||
\(813\) | − | 14.4197i | − | 0.505720i | ||||||
\(814\) | 1.73929 | + | 11.5458i | 0.0609619 | + | 0.404681i | ||||
\(815\) | 3.39814 | 0.119032 | ||||||||
\(816\) | −12.4009 | − | 18.2016i | −0.434118 | − | 0.637184i | ||||
\(817\) | −19.5274 | −0.683179 | ||||||||
\(818\) | −15.7903 | + | 2.37868i | −0.552094 | + | 0.0831685i | ||||
\(819\) | 26.9038i | 0.940095i | ||||||||
\(820\) | 2.99373 | − | 0.922906i | 0.104546 | − | 0.0322293i | ||||
\(821\) | − | 6.26971i | − | 0.218814i | −0.993997 | − | 0.109407i | \(-0.965105\pi\) | ||
0.993997 | − | 0.109407i | \(-0.0348952\pi\) | |||||||
\(822\) | 1.91344 | + | 12.7019i | 0.0667388 | + | 0.443030i | ||||
\(823\) | 39.4914i | 1.37658i | 0.725434 | + | 0.688291i | \(0.241639\pi\) | ||||
−0.725434 | + | 0.688291i | \(0.758361\pi\) | |||||||
\(824\) | −45.7364 | + | 22.0116i | −1.59330 | + | 0.766811i | ||||
\(825\) | − | 21.4716i | − | 0.747544i | ||||||
\(826\) | −17.6986 | + | 2.66615i | −0.615813 | + | 0.0927671i | ||||
\(827\) | − | 25.6532i | − | 0.892050i | −0.895021 | − | 0.446025i | \(-0.852839\pi\) | ||
0.895021 | − | 0.446025i | \(-0.147161\pi\) | |||||||
\(828\) | 3.89982 | − | 8.76307i | 0.135528 | − | 0.304538i | ||||
\(829\) | − | 17.3454i | − | 0.602430i | −0.953556 | − | 0.301215i | \(-0.902608\pi\) | ||
0.953556 | − | 0.301215i | \(-0.0973921\pi\) | |||||||
\(830\) | 1.06137 | + | 7.04568i | 0.0368408 | + | 0.244559i | ||||
\(831\) | − | 20.1542i | − | 0.699141i | ||||||
\(832\) | −41.3855 | − | 33.0372i | −1.43478 | − | 1.14536i | ||||
\(833\) | − | 52.4155i | − | 1.81609i | ||||||
\(834\) | 14.5195 | − | 2.18724i | 0.502768 | − | 0.0757378i | ||||
\(835\) | 7.29883i | 0.252587i | ||||||||
\(836\) | 42.8155 | − | 13.1991i | 1.48081 | − | 0.456502i | ||||
\(837\) | − | 1.05745i | − | 0.0365508i | ||||||
\(838\) | −2.46135 | − | 16.3391i | −0.0850258 | − | 0.564424i | ||||
\(839\) | 16.1675 | 0.558163 | 0.279082 | − | 0.960267i | \(-0.409970\pi\) | ||||
0.279082 | + | 0.960267i | \(0.409970\pi\) | |||||||
\(840\) | −7.32600 | + | 3.52579i | −0.252771 | + | 0.121651i | ||||
\(841\) | 25.3896 | 0.875504 | ||||||||
\(842\) | −34.6541 | + | 5.22036i | −1.19426 | + | 0.179906i | ||||
\(843\) | 10.9391i | 0.376762i | ||||||||
\(844\) | −32.3697 | + | 9.97891i | −1.11421 | + | 0.343488i | ||||
\(845\) | 21.7940 | 0.749736 | ||||||||
\(846\) | −1.00214 | − | 6.65245i | −0.0344542 | − | 0.228716i | ||||
\(847\) | 47.8325 | 1.64354 | ||||||||
\(848\) | −40.5111 | + | 27.6005i | −1.39116 | + | 0.947805i | ||||
\(849\) | − | 10.4920i | − | 0.360085i | ||||||
\(850\) | −5.21952 | − | 34.6485i | −0.179028 | − | 1.18843i | ||||
\(851\) | −5.45757 | + | 6.25087i | −0.187083 | + | 0.214277i | ||||
\(852\) | 5.33662 | + | 17.3110i | 0.182830 | + | 0.593065i | ||||
\(853\) | 8.35448i | 0.286052i | 0.989719 | + | 0.143026i | \(0.0456833\pi\) | ||||
−0.989719 | + | 0.143026i | \(0.954317\pi\) | |||||||
\(854\) | −31.2439 | + | 4.70664i | −1.06915 | + | 0.161058i | ||||
\(855\) | 3.32032i | 0.113552i | ||||||||
\(856\) | 19.3816 | + | 40.2716i | 0.662449 | + | 1.37646i | ||||
\(857\) | −12.1448 | −0.414859 | −0.207430 | − | 0.978250i | \(-0.566510\pi\) | ||||
−0.207430 | + | 0.978250i | \(0.566510\pi\) | |||||||
\(858\) | −44.1699 | + | 6.65383i | −1.50794 | + | 0.227158i | ||||
\(859\) | 27.8503 | 0.950241 | 0.475120 | − | 0.879921i | \(-0.342405\pi\) | ||||
0.475120 | + | 0.879921i | \(0.342405\pi\) | |||||||
\(860\) | 1.73321 | + | 5.62220i | 0.0591020 | + | 0.191716i | ||||
\(861\) | 9.00186 | 0.306783 | ||||||||
\(862\) | −19.2597 | + | 2.90132i | −0.655989 | + | 0.0988194i | ||||
\(863\) | − | 29.6847i | − | 1.01048i | −0.862979 | − | 0.505239i | \(-0.831404\pi\) | ||
0.862979 | − | 0.505239i | \(-0.168596\pi\) | |||||||
\(864\) | −4.14835 | + | 3.84594i | −0.141130 | + | 0.130841i | ||||
\(865\) | 6.57680i | 0.223618i | ||||||||
\(866\) | 3.64098 | + | 24.1698i | 0.123726 | + | 0.821324i | ||||
\(867\) | −13.3176 | −0.452288 | ||||||||
\(868\) | 2.53232 | + | 8.21436i | 0.0859525 | + | 0.278814i | ||||
\(869\) | 7.24609i | 0.245807i | ||||||||
\(870\) | −0.283092 | − | 1.87924i | −0.00959772 | − | 0.0637122i | ||||
\(871\) | −59.9509 | −2.03136 | ||||||||
\(872\) | −16.3518 | + | 7.86966i | −0.553742 | + | 0.266500i | ||||
\(873\) | 5.21685i | 0.176564i | ||||||||
\(874\) | 26.8379 | + | 17.1353i | 0.907806 | + | 0.579610i | ||||
\(875\) | −27.3071 | −0.923149 | ||||||||
\(876\) | 17.2164 | − | 5.30747i | 0.581689 | − | 0.179323i | ||||
\(877\) | − | 17.8807i | − | 0.603787i | −0.953342 | − | 0.301893i | \(-0.902381\pi\) | ||
0.953342 | − | 0.301893i | \(-0.0976187\pi\) | |||||||
\(878\) | 8.21453 | + | 54.5302i | 0.277227 | + | 1.84030i | ||||
\(879\) | 5.75301 | 0.194044 | ||||||||
\(880\) | −7.60041 | − | 11.1556i | −0.256210 | − | 0.376056i | ||||
\(881\) | 20.4097i | 0.687622i | 0.939039 | + | 0.343811i | \(0.111718\pi\) | ||||
−0.939039 | + | 0.343811i | \(0.888282\pi\) | |||||||
\(882\) | −13.3123 | + | 2.00540i | −0.448250 | + | 0.0675252i | ||||
\(883\) | 16.7990 | 0.565333 | 0.282666 | − | 0.959218i | \(-0.408781\pi\) | ||||
0.282666 | + | 0.959218i | \(0.408781\pi\) | |||||||
\(884\) | −69.6592 | + | 21.4745i | −2.34289 | + | 0.722266i | ||||
\(885\) | 2.20222 | 0.0740269 | ||||||||
\(886\) | −44.3697 | + | 6.68393i | −1.49063 | + | 0.224551i | ||||
\(887\) | − | 16.4325i | − | 0.551750i | −0.961194 | − | 0.275875i | \(-0.911032\pi\) | ||
0.961194 | − | 0.275875i | \(-0.0889675\pi\) | |||||||
\(888\) | 4.40982 | − | 2.12232i | 0.147984 | − | 0.0712204i | ||||
\(889\) | − | 87.2672i | − | 2.92685i | ||||||
\(890\) | −1.05036 | − | 6.97259i | −0.0352083 | − | 0.233722i | ||||
\(891\) | 4.77165i | 0.159856i | ||||||||
\(892\) | 3.96576 | + | 12.8642i | 0.132784 | + | 0.430725i | ||||
\(893\) | 22.3335 | 0.747361 | ||||||||
\(894\) | 17.8550 | − | 2.68971i | 0.597161 | − | 0.0899574i | ||||
\(895\) | 9.30233 | 0.310943 | ||||||||
\(896\) | 23.0147 | − | 39.8097i | 0.768866 | − | 1.32995i | ||||
\(897\) | −23.9134 | − | 20.8786i | −0.798445 | − | 0.697115i | ||||
\(898\) | 54.1635 | − | 8.15929i | 1.80746 | − | 0.272279i | ||||
\(899\) | −2.00926 | −0.0670127 | ||||||||
\(900\) | −8.60025 | + | 2.65128i | −0.286675 | + | 0.0883760i | ||||
\(901\) | 67.4774i | 2.24800i | ||||||||
\(902\) | 2.22634 | + | 14.7790i | 0.0741289 | + | 0.492087i | ||||
\(903\) | 16.9054i | 0.562577i | ||||||||
\(904\) | −7.22413 | − | 15.0105i | −0.240271 | − | 0.499242i | ||||
\(905\) | −18.4505 | −0.613314 | ||||||||
\(906\) | −1.99963 | − | 13.2741i | −0.0664333 | − | 0.441001i | ||||
\(907\) | 23.2224i | 0.771088i | 0.922690 | + | 0.385544i | \(0.125986\pi\) | ||||
−0.922690 | + | 0.385544i | \(0.874014\pi\) | |||||||
\(908\) | 10.5249 | + | 34.1409i | 0.349283 | + | 1.13301i | ||||
\(909\) | − | 2.30636i | − | 0.0764972i | ||||||
\(910\) | 4.00834 | + | 26.6084i | 0.132875 | + | 0.882059i | ||||
\(911\) | 30.7469 | 1.01869 | 0.509345 | − | 0.860563i | \(-0.329888\pi\) | ||||
0.509345 | + | 0.860563i | \(0.329888\pi\) | |||||||
\(912\) | −10.5736 | − | 15.5196i | −0.350127 | − | 0.513904i | ||||
\(913\) | −33.9927 | −1.12500 | ||||||||
\(914\) | 1.41832 | + | 9.41517i | 0.0469138 | + | 0.311426i | ||||
\(915\) | 3.88766 | 0.128522 | ||||||||
\(916\) | 40.8024 | − | 12.5785i | 1.34815 | − | 0.415607i | ||||
\(917\) | −21.6976 | −0.716519 | ||||||||
\(918\) | 1.15994 | + | 7.69998i | 0.0382837 | + | 0.254137i | ||||
\(919\) | −18.6535 | −0.615322 | −0.307661 | − | 0.951496i | \(-0.599546\pi\) | ||||
−0.307661 | + | 0.951496i | \(0.599546\pi\) | |||||||
\(920\) | 2.55141 | − | 9.24788i | 0.0841174 | − | 0.304893i | ||||
\(921\) | −13.6474 | −0.449696 | ||||||||
\(922\) | −4.16131 | − | 27.6239i | −0.137045 | − | 0.909744i | ||||
\(923\) | 59.9545 | 1.97343 | ||||||||
\(924\) | −11.4268 | − | 37.0665i | −0.375916 | − | 1.21940i | ||||
\(925\) | 7.78592 | 0.255999 | ||||||||
\(926\) | −6.18196 | − | 41.0374i | −0.203152 | − | 1.34857i | ||||
\(927\) | 17.9455 | 0.589408 | ||||||||
\(928\) | 7.30767 | + | 7.88228i | 0.239886 | + | 0.258749i | ||||
\(929\) | 18.3221 | 0.601128 | 0.300564 | − | 0.953762i | \(-0.402825\pi\) | ||||
0.300564 | + | 0.953762i | \(0.402825\pi\) | |||||||
\(930\) | −0.157547 | − | 1.04584i | −0.00516618 | − | 0.0342944i | ||||
\(931\) | − | 44.6919i | − | 1.46472i | ||||||
\(932\) | 41.5113 | − | 12.7971i | 1.35975 | − | 0.419182i | ||||
\(933\) | − | 14.5540i | − | 0.476475i | ||||||
\(934\) | −4.27255 | − | 28.3623i | −0.139802 | − | 0.928042i | ||||
\(935\) | −18.5814 | −0.607676 | ||||||||
\(936\) | 8.11918 | + | 16.8703i | 0.265384 | + | 0.551422i | ||||
\(937\) | − | 19.8701i | − | 0.649128i | −0.945864 | − | 0.324564i | \(-0.894782\pi\) | ||
0.945864 | − | 0.324564i | \(-0.105218\pi\) | |||||||
\(938\) | −7.75471 | − | 51.4778i | −0.253200 | − | 1.68081i | ||||
\(939\) | 16.5347i | 0.539591i | ||||||||
\(940\) | −1.98227 | − | 6.43010i | −0.0646544 | − | 0.209727i | ||||
\(941\) | 37.1524 | 1.21114 | 0.605568 | − | 0.795794i | \(-0.292946\pi\) | ||||
0.605568 | + | 0.795794i | \(0.292946\pi\) | |||||||
\(942\) | 24.8503 | − | 3.74349i | 0.809665 | − | 0.121969i | ||||
\(943\) | −6.98585 | + | 8.00129i | −0.227491 | + | 0.260558i | ||||
\(944\) | −10.2935 | + | 7.01301i | −0.335023 | + | 0.228254i | ||||
\(945\) | 2.87449 | 0.0935071 | ||||||||
\(946\) | −27.7548 | + | 4.18104i | −0.902388 | + | 0.135937i | ||||
\(947\) | −52.5957 | −1.70913 | −0.854566 | − | 0.519343i | \(-0.826177\pi\) | ||||
−0.854566 | + | 0.519343i | \(0.826177\pi\) | |||||||
\(948\) | 2.90236 | − | 0.894738i | 0.0942643 | − | 0.0290597i | ||||
\(949\) | − | 59.6270i | − | 1.93557i | ||||||
\(950\) | −4.45041 | − | 29.5430i | −0.144390 | − | 0.958502i | ||||
\(951\) | − | 26.7678i | − | 0.868007i | ||||||
\(952\) | −27.4499 | − | 57.0363i | −0.889658 | − | 1.84856i | ||||
\(953\) | 15.9812i | 0.517682i | 0.965920 | + | 0.258841i | \(0.0833406\pi\) | ||||
−0.965920 | + | 0.258841i | \(0.916659\pi\) | |||||||
\(954\) | 17.1377 | − | 2.58166i | 0.554855 | − | 0.0835843i | ||||
\(955\) | −4.93165 | −0.159584 | ||||||||
\(956\) | 7.01103 | + | 22.7424i | 0.226753 | + | 0.735543i | ||||
\(957\) | 9.06662 | 0.293082 | ||||||||
\(958\) | −49.7421 | + | 7.49324i | −1.60709 | + | 0.242096i | ||||
\(959\) | 36.9168i | 1.19211i | ||||||||
\(960\) | −3.52980 | + | 4.42176i | −0.113924 | + | 0.142712i | ||||
\(961\) | 29.8818 | 0.963929 | ||||||||
\(962\) | −2.41278 | − | 16.0167i | −0.0777913 | − | 0.516399i | ||||
\(963\) | − | 15.8013i | − | 0.509190i | ||||||
\(964\) | −17.5541 | − | 56.9421i | −0.565379 | − | 1.83398i | ||||
\(965\) | −8.32422 | −0.267966 | ||||||||
\(966\) | 14.8345 | − | 23.2343i | 0.477292 | − | 0.747551i | ||||
\(967\) | 38.2253i | 1.22924i | 0.788822 | + | 0.614622i | \(0.210691\pi\) | ||||
−0.788822 | + | 0.614622i | \(0.789309\pi\) | |||||||
\(968\) | 29.9938 | − | 14.4352i | 0.964037 | − | 0.463964i | ||||
\(969\) | −25.8502 | −0.830429 | ||||||||
\(970\) | 0.777247 | + | 5.15957i | 0.0249559 | + | 0.165664i | ||||
\(971\) | − | 9.44782i | − | 0.303195i | −0.988442 | − | 0.151597i | \(-0.951558\pi\) | ||
0.988442 | − | 0.151597i | \(-0.0484417\pi\) | |||||||
\(972\) | 1.91124 | − | 0.589197i | 0.0613031 | − | 0.0188985i | ||||
\(973\) | 42.1994 | 1.35285 | ||||||||
\(974\) | 7.63947 | + | 50.7128i | 0.244784 | + | 1.62494i | ||||
\(975\) | 29.7859i | 0.953913i | ||||||||
\(976\) | −18.1714 | + | 12.3803i | −0.581652 | + | 0.396284i | ||||
\(977\) | 0.445730i | 0.0142602i | 0.999975 | + | 0.00713008i | \(0.00226959\pi\) | ||||
−0.999975 | + | 0.00713008i | \(0.997730\pi\) | |||||||
\(978\) | 6.71925 | − | 1.01220i | 0.214858 | − | 0.0323666i | ||||
\(979\) | 33.6401 | 1.07514 | ||||||||
\(980\) | −12.8674 | + | 3.96675i | −0.411034 | + | 0.126713i | ||||
\(981\) | 6.41593 | 0.204845 | ||||||||
\(982\) | −19.8562 | + | 2.99118i | −0.633637 | + | 0.0954523i | ||||
\(983\) | 23.6354 | 0.753851 | 0.376925 | − | 0.926244i | \(-0.376981\pi\) | ||||
0.376925 | + | 0.926244i | \(0.376981\pi\) | |||||||
\(984\) | 5.64470 | − | 2.71663i | 0.179946 | − | 0.0866030i | ||||
\(985\) | 9.61575i | 0.306383i | ||||||||
\(986\) | 14.6307 | − | 2.20400i | 0.465938 | − | 0.0701897i | ||||
\(987\) | − | 19.3347i | − | 0.615430i | ||||||
\(988\) | −59.3948 | + | 18.3102i | −1.88960 | + | 0.582525i | ||||
\(989\) | −15.0264 | − | 13.1194i | −0.477811 | − | 0.417172i | ||||
\(990\) | 0.710917 | + | 4.71925i | 0.0225944 | + | 0.149988i | ||||
\(991\) | − | 8.87816i | − | 0.282024i | −0.990008 | − | 0.141012i | \(-0.954964\pi\) | ||
0.990008 | − | 0.141012i | \(-0.0450356\pi\) | |||||||
\(992\) | 4.06689 | + | 4.38667i | 0.129124 | + | 0.139277i | ||||
\(993\) | 14.6892 | 0.466147 | ||||||||
\(994\) | 7.75518 | + | 51.4809i | 0.245979 | + | 1.63288i | ||||
\(995\) | −2.36449 | −0.0749593 | ||||||||
\(996\) | 4.19738 | + | 13.6155i | 0.132999 | + | 0.431424i | ||||
\(997\) | − | 25.8021i | − | 0.817161i | −0.912722 | − | 0.408581i | \(-0.866024\pi\) | ||
0.912722 | − | 0.408581i | \(-0.133976\pi\) | |||||||
\(998\) | 42.0960 | − | 6.34141i | 1.33252 | − | 0.200734i | ||||
\(999\) | −1.73027 | −0.0547434 |
(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 | 552.2.n.a.91.3 | yes | 24 | |
4.3 | odd | 2 | 2208.2.n.a.367.12 | 24 | |||
8.3 | odd | 2 | inner | 552.2.n.a.91.2 | yes | 24 | |
8.5 | even | 2 | 2208.2.n.a.367.14 | 24 | |||
23.22 | odd | 2 | inner | 552.2.n.a.91.4 | yes | 24 | |
92.91 | even | 2 | 2208.2.n.a.367.13 | 24 | |||
184.45 | odd | 2 | 2208.2.n.a.367.11 | 24 | |||
184.91 | even | 2 | inner | 552.2.n.a.91.1 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.n.a.91.1 | ✓ | 24 | 184.91 | even | 2 | inner | |
552.2.n.a.91.2 | yes | 24 | 8.3 | odd | 2 | inner | |
552.2.n.a.91.3 | yes | 24 | 1.1 | even | 1 | trivial | |
552.2.n.a.91.4 | yes | 24 | 23.22 | odd | 2 | inner | |
2208.2.n.a.367.11 | 24 | 184.45 | odd | 2 | |||
2208.2.n.a.367.12 | 24 | 4.3 | odd | 2 | |||
2208.2.n.a.367.13 | 24 | 92.91 | even | 2 | |||
2208.2.n.a.367.14 | 24 | 8.5 | even | 2 |