Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,2,Mod(165,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.165");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.e (of order \(3\), degree \(2\), 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: | \(2.29170653801\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 165.11 | ||
Character | \(\chi\) | \(=\) | 287.165 |
Dual form | 287.2.e.d.247.11 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.451240 | + | 0.781570i | 0.319075 | + | 0.552653i | 0.980295 | − | 0.197538i | \(-0.0632946\pi\) |
−0.661221 | + | 0.750191i | \(0.729961\pi\) | |||||||
\(3\) | 1.66259 | − | 2.87969i | 0.959898 | − | 1.66259i | 0.237159 | − | 0.971471i | \(-0.423784\pi\) |
0.722739 | − | 0.691121i | \(-0.242883\pi\) | |||||||
\(4\) | 0.592766 | − | 1.02670i | 0.296383 | − | 0.513350i | ||||
\(5\) | 0.469181 | + | 0.812645i | 0.209824 | + | 0.363426i | 0.951659 | − | 0.307157i | \(-0.0993775\pi\) |
−0.741835 | + | 0.670583i | \(0.766044\pi\) | |||||||
\(6\) | 3.00091 | 1.22512 | ||||||||
\(7\) | 1.14720 | + | 2.38410i | 0.433602 | + | 0.901104i | ||||
\(8\) | 2.87488 | 1.01642 | ||||||||
\(9\) | −4.02843 | − | 6.97744i | −1.34281 | − | 2.32581i | ||||
\(10\) | −0.423426 | + | 0.733395i | −0.133899 | + | 0.231920i | ||||
\(11\) | −2.73018 | + | 4.72882i | −0.823181 | + | 1.42579i | 0.0801202 | + | 0.996785i | \(0.474470\pi\) |
−0.903301 | + | 0.429006i | \(0.858864\pi\) | |||||||
\(12\) | −1.97106 | − | 3.41397i | −0.568995 | − | 0.985528i | ||||
\(13\) | −2.52551 | −0.700449 | −0.350225 | − | 0.936666i | \(-0.613895\pi\) | ||||
−0.350225 | + | 0.936666i | \(0.613895\pi\) | |||||||
\(14\) | −1.34568 | + | 1.97242i | −0.359647 | + | 0.527151i | ||||
\(15\) | 3.12023 | 0.805639 | ||||||||
\(16\) | 0.111726 | + | 0.193516i | 0.0279316 | + | 0.0483790i | ||||
\(17\) | −3.35567 | + | 5.81218i | −0.813868 | + | 1.40966i | 0.0962691 | + | 0.995355i | \(0.469309\pi\) |
−0.910138 | + | 0.414306i | \(0.864024\pi\) | |||||||
\(18\) | 3.63557 | − | 6.29699i | 0.856912 | − | 1.48422i | ||||
\(19\) | −0.428704 | − | 0.742537i | −0.0983514 | − | 0.170350i | 0.812651 | − | 0.582751i | \(-0.198024\pi\) |
−0.911002 | + | 0.412401i | \(0.864690\pi\) | |||||||
\(20\) | 1.11246 | 0.248753 | ||||||||
\(21\) | 8.77281 | + | 0.660185i | 1.91438 | + | 0.144064i | ||||
\(22\) | −4.92787 | −1.05062 | ||||||||
\(23\) | −2.38342 | − | 4.12820i | −0.496977 | − | 0.860789i | 0.503017 | − | 0.864276i | \(-0.332223\pi\) |
−0.999994 | + | 0.00348754i | \(0.998890\pi\) | |||||||
\(24\) | 4.77975 | − | 8.27876i | 0.975662 | − | 1.68990i | ||||
\(25\) | 2.05974 | − | 3.56757i | 0.411948 | − | 0.713514i | ||||
\(26\) | −1.13961 | − | 1.97386i | −0.223496 | − | 0.387106i | ||||
\(27\) | −16.8150 | −3.23604 | ||||||||
\(28\) | 3.12778 | + | 0.235376i | 0.591094 | + | 0.0444819i | ||||
\(29\) | 3.28519 | 0.610045 | 0.305023 | − | 0.952345i | \(-0.401336\pi\) | ||||
0.305023 | + | 0.952345i | \(0.401336\pi\) | |||||||
\(30\) | 1.40797 | + | 2.43867i | 0.257059 | + | 0.445239i | ||||
\(31\) | −0.0596187 | + | 0.103263i | −0.0107078 | + | 0.0185465i | −0.871330 | − | 0.490698i | \(-0.836742\pi\) |
0.860622 | + | 0.509245i | \(0.170075\pi\) | |||||||
\(32\) | 2.77404 | − | 4.80479i | 0.490386 | − | 0.849374i | ||||
\(33\) | 9.07836 | + | 15.7242i | 1.58034 | + | 2.73723i | ||||
\(34\) | −6.05684 | −1.03874 | ||||||||
\(35\) | −1.39918 | + | 2.05084i | −0.236504 | + | 0.346656i | ||||
\(36\) | −9.55165 | −1.59194 | ||||||||
\(37\) | 1.90949 | + | 3.30733i | 0.313917 | + | 0.543721i | 0.979207 | − | 0.202865i | \(-0.0650252\pi\) |
−0.665289 | + | 0.746586i | \(0.731692\pi\) | |||||||
\(38\) | 0.386896 | − | 0.670124i | 0.0627629 | − | 0.108709i | ||||
\(39\) | −4.19889 | + | 7.27268i | −0.672360 | + | 1.16456i | ||||
\(40\) | 1.34884 | + | 2.33625i | 0.213270 | + | 0.369394i | ||||
\(41\) | 1.00000 | 0.156174 | ||||||||
\(42\) | 3.44266 | + | 7.15446i | 0.531213 | + | 1.10396i | ||||
\(43\) | 1.64508 | 0.250873 | 0.125436 | − | 0.992102i | \(-0.459967\pi\) | ||||
0.125436 | + | 0.992102i | \(0.459967\pi\) | |||||||
\(44\) | 3.23672 | + | 5.60616i | 0.487954 | + | 0.845160i | ||||
\(45\) | 3.78012 | − | 6.54736i | 0.563507 | − | 0.976023i | ||||
\(46\) | 2.15098 | − | 3.72561i | 0.317145 | − | 0.549312i | ||||
\(47\) | −2.36841 | − | 4.10220i | −0.345468 | − | 0.598367i | 0.639971 | − | 0.768399i | \(-0.278946\pi\) |
−0.985439 | + | 0.170032i | \(0.945613\pi\) | |||||||
\(48\) | 0.743022 | 0.107246 | ||||||||
\(49\) | −4.36784 | + | 5.47009i | −0.623978 | + | 0.781442i | ||||
\(50\) | 3.71774 | 0.525768 | ||||||||
\(51\) | 11.1582 | + | 19.3266i | 1.56246 | + | 2.70626i | ||||
\(52\) | −1.49703 | + | 2.59294i | −0.207601 | + | 0.359576i | ||||
\(53\) | −1.12195 | + | 1.94328i | −0.154112 | + | 0.266930i | −0.932735 | − | 0.360562i | \(-0.882585\pi\) |
0.778623 | + | 0.627492i | \(0.215918\pi\) | |||||||
\(54\) | −7.58758 | − | 13.1421i | −1.03254 | − | 1.78841i | ||||
\(55\) | −5.12380 | −0.690893 | ||||||||
\(56\) | 3.29807 | + | 6.85398i | 0.440723 | + | 0.915902i | ||||
\(57\) | −2.85104 | −0.377629 | ||||||||
\(58\) | 1.48241 | + | 2.56761i | 0.194650 | + | 0.337144i | ||||
\(59\) | −2.22327 | + | 3.85081i | −0.289445 | + | 0.501333i | −0.973677 | − | 0.227931i | \(-0.926804\pi\) |
0.684233 | + | 0.729264i | \(0.260137\pi\) | |||||||
\(60\) | 1.84956 | − | 3.20354i | 0.238778 | − | 0.413575i | ||||
\(61\) | −5.98023 | − | 10.3581i | −0.765690 | − | 1.32621i | −0.939881 | − | 0.341501i | \(-0.889065\pi\) |
0.174192 | − | 0.984712i | \(-0.444269\pi\) | |||||||
\(62\) | −0.107609 | −0.0136664 | ||||||||
\(63\) | 12.0135 | − | 17.6087i | 1.51355 | − | 2.21849i | ||||
\(64\) | 5.45394 | 0.681743 | ||||||||
\(65\) | −1.18492 | − | 2.05234i | −0.146971 | − | 0.254561i | ||||
\(66\) | −8.19303 | + | 14.1907i | −1.00849 | + | 1.74676i | ||||
\(67\) | 5.86555 | − | 10.1594i | 0.716591 | − | 1.24117i | −0.245751 | − | 0.969333i | \(-0.579035\pi\) |
0.962343 | − | 0.271840i | \(-0.0876320\pi\) | |||||||
\(68\) | 3.97825 | + | 6.89053i | 0.482433 | + | 0.835599i | ||||
\(69\) | −15.8506 | −1.90819 | ||||||||
\(70\) | −2.23424 | − | 0.168135i | −0.267043 | − | 0.0200959i | ||||
\(71\) | 9.78432 | 1.16119 | 0.580593 | − | 0.814194i | \(-0.302821\pi\) | ||||
0.580593 | + | 0.814194i | \(0.302821\pi\) | |||||||
\(72\) | −11.5812 | − | 20.0593i | −1.36486 | − | 2.36401i | ||||
\(73\) | 1.85766 | − | 3.21756i | 0.217422 | − | 0.376587i | −0.736597 | − | 0.676332i | \(-0.763568\pi\) |
0.954019 | + | 0.299745i | \(0.0969018\pi\) | |||||||
\(74\) | −1.72327 | + | 2.98479i | −0.200326 | + | 0.346975i | ||||
\(75\) | −6.84901 | − | 11.8628i | −0.790856 | − | 1.36980i | ||||
\(76\) | −1.01648 | −0.116599 | ||||||||
\(77\) | −14.4060 | − | 1.08411i | −1.64172 | − | 0.123545i | ||||
\(78\) | −7.57881 | −0.858132 | ||||||||
\(79\) | 1.40646 | + | 2.43606i | 0.158239 | + | 0.274078i | 0.934234 | − | 0.356661i | \(-0.116085\pi\) |
−0.775995 | + | 0.630739i | \(0.782752\pi\) | |||||||
\(80\) | −0.104840 | + | 0.181588i | −0.0117214 | + | 0.0203021i | ||||
\(81\) | −15.8711 | + | 27.4896i | −1.76346 | + | 3.05440i | ||||
\(82\) | 0.451240 | + | 0.781570i | 0.0498311 | + | 0.0863100i | ||||
\(83\) | 3.41464 | 0.374805 | 0.187403 | − | 0.982283i | \(-0.439993\pi\) | ||||
0.187403 | + | 0.982283i | \(0.439993\pi\) | |||||||
\(84\) | 5.87803 | − | 8.61571i | 0.641346 | − | 0.940051i | ||||
\(85\) | −6.29766 | −0.683077 | ||||||||
\(86\) | 0.742326 | + | 1.28575i | 0.0800470 | + | 0.138646i | ||||
\(87\) | 5.46194 | − | 9.46036i | 0.585581 | − | 1.01426i | ||||
\(88\) | −7.84894 | + | 13.5948i | −0.836700 | + | 1.44921i | ||||
\(89\) | 7.12084 | + | 12.3337i | 0.754808 | + | 1.30737i | 0.945470 | + | 0.325710i | \(0.105603\pi\) |
−0.190662 | + | 0.981656i | \(0.561063\pi\) | |||||||
\(90\) | 6.82296 | 0.719203 | ||||||||
\(91\) | −2.89727 | − | 6.02105i | −0.303717 | − | 0.631178i | ||||
\(92\) | −5.65123 | −0.589181 | ||||||||
\(93\) | 0.198243 | + | 0.343367i | 0.0205569 | + | 0.0356055i | ||||
\(94\) | 2.13744 | − | 3.70215i | 0.220460 | − | 0.381848i | ||||
\(95\) | 0.402280 | − | 0.696769i | 0.0412730 | − | 0.0714869i | ||||
\(96\) | −9.22421 | − | 15.9768i | −0.941442 | − | 1.63063i | ||||
\(97\) | −8.40546 | −0.853446 | −0.426723 | − | 0.904382i | \(-0.640332\pi\) | ||||
−0.426723 | + | 0.904382i | \(0.640332\pi\) | |||||||
\(98\) | −6.24621 | − | 0.945452i | −0.630962 | − | 0.0955051i | ||||
\(99\) | 43.9934 | 4.42150 | ||||||||
\(100\) | −2.44188 | − | 4.22947i | −0.244188 | − | 0.422947i | ||||
\(101\) | 3.13654 | − | 5.43266i | 0.312098 | − | 0.540569i | −0.666718 | − | 0.745310i | \(-0.732302\pi\) |
0.978816 | + | 0.204740i | \(0.0656350\pi\) | |||||||
\(102\) | −10.0700 | + | 17.4418i | −0.997083 | + | 1.72700i | ||||
\(103\) | −4.37283 | − | 7.57396i | −0.430867 | − | 0.746284i | 0.566081 | − | 0.824350i | \(-0.308459\pi\) |
−0.996948 | + | 0.0780655i | \(0.975126\pi\) | |||||||
\(104\) | −7.26051 | −0.711952 | ||||||||
\(105\) | 3.57954 | + | 7.43892i | 0.349327 | + | 0.725965i | ||||
\(106\) | −2.02508 | −0.196693 | ||||||||
\(107\) | 5.26144 | + | 9.11308i | 0.508643 | + | 0.880995i | 0.999950 | + | 0.0100084i | \(0.00318583\pi\) |
−0.491307 | + | 0.870986i | \(0.663481\pi\) | |||||||
\(108\) | −9.96733 | + | 17.2639i | −0.959107 | + | 1.66122i | ||||
\(109\) | 1.62426 | − | 2.81330i | 0.155576 | − | 0.269466i | −0.777693 | − | 0.628645i | \(-0.783610\pi\) |
0.933269 | + | 0.359179i | \(0.116943\pi\) | |||||||
\(110\) | −2.31206 | − | 4.00461i | −0.220446 | − | 0.381824i | ||||
\(111\) | 12.6988 | 1.20531 | ||||||||
\(112\) | −0.333188 | + | 0.488369i | −0.0314833 | + | 0.0461465i | ||||
\(113\) | 4.20493 | 0.395566 | 0.197783 | − | 0.980246i | \(-0.436626\pi\) | ||||
0.197783 | + | 0.980246i | \(0.436626\pi\) | |||||||
\(114\) | −1.28650 | − | 2.22829i | −0.120492 | − | 0.208698i | ||||
\(115\) | 2.23651 | − | 3.87374i | 0.208555 | − | 0.361228i | ||||
\(116\) | 1.94735 | − | 3.37291i | 0.180807 | − | 0.313167i | ||||
\(117\) | 10.1738 | + | 17.6216i | 0.940569 | + | 1.62911i | ||||
\(118\) | −4.01291 | −0.369418 | ||||||||
\(119\) | −17.7064 | − | 1.33247i | −1.62315 | − | 0.122148i | ||||
\(120\) | 8.97026 | 0.818869 | ||||||||
\(121\) | −9.40780 | − | 16.2948i | −0.855255 | − | 1.48134i | ||||
\(122\) | 5.39703 | − | 9.34793i | 0.488624 | − | 0.846322i | ||||
\(123\) | 1.66259 | − | 2.87969i | 0.149911 | − | 0.259653i | ||||
\(124\) | 0.0706799 | + | 0.122421i | 0.00634724 | + | 0.0109937i | ||||
\(125\) | 8.55737 | 0.765394 | ||||||||
\(126\) | 19.1834 | + | 1.44362i | 1.70899 | + | 0.128608i | ||||
\(127\) | 6.36861 | 0.565123 | 0.282561 | − | 0.959249i | \(-0.408816\pi\) | ||||
0.282561 | + | 0.959249i | \(0.408816\pi\) | |||||||
\(128\) | −3.08706 | − | 5.34694i | −0.272860 | − | 0.472607i | ||||
\(129\) | 2.73510 | − | 4.73733i | 0.240812 | − | 0.417099i | ||||
\(130\) | 1.06936 | − | 1.85219i | 0.0937895 | − | 0.162448i | ||||
\(131\) | −3.25353 | − | 5.63527i | −0.284262 | − | 0.492356i | 0.688168 | − | 0.725551i | \(-0.258415\pi\) |
−0.972430 | + | 0.233195i | \(0.925082\pi\) | |||||||
\(132\) | 21.5254 | 1.87354 | ||||||||
\(133\) | 1.27847 | − | 1.87391i | 0.110857 | − | 0.162489i | ||||
\(134\) | 10.5871 | 0.914584 | ||||||||
\(135\) | −7.88926 | − | 13.6646i | −0.678999 | − | 1.17606i | ||||
\(136\) | −9.64712 | + | 16.7093i | −0.827234 | + | 1.43281i | ||||
\(137\) | −6.63174 | + | 11.4865i | −0.566588 | + | 0.981359i | 0.430312 | + | 0.902680i | \(0.358403\pi\) |
−0.996900 | + | 0.0786787i | \(0.974930\pi\) | |||||||
\(138\) | −7.15242 | − | 12.3883i | −0.608854 | − | 1.05457i | ||||
\(139\) | 5.17790 | 0.439184 | 0.219592 | − | 0.975592i | \(-0.429527\pi\) | ||||
0.219592 | + | 0.975592i | \(0.429527\pi\) | |||||||
\(140\) | 1.27622 | + | 2.65221i | 0.107860 | + | 0.224152i | ||||
\(141\) | −15.7508 | −1.32645 | ||||||||
\(142\) | 4.41507 | + | 7.64713i | 0.370505 | + | 0.641733i | ||||
\(143\) | 6.89509 | − | 11.9427i | 0.576597 | − | 0.998695i | ||||
\(144\) | 0.900163 | − | 1.55913i | 0.0750136 | − | 0.129927i | ||||
\(145\) | 1.54135 | + | 2.66970i | 0.128002 | + | 0.221706i | ||||
\(146\) | 3.35299 | 0.277496 | ||||||||
\(147\) | 8.49026 | + | 21.6726i | 0.700265 | + | 1.78753i | ||||
\(148\) | 4.52751 | 0.372159 | ||||||||
\(149\) | −1.83789 | − | 3.18332i | −0.150566 | − | 0.260788i | 0.780870 | − | 0.624694i | \(-0.214776\pi\) |
−0.931436 | + | 0.363906i | \(0.881443\pi\) | |||||||
\(150\) | 6.18109 | − | 10.7060i | 0.504684 | − | 0.874138i | ||||
\(151\) | −7.13336 | + | 12.3553i | −0.580505 | + | 1.00546i | 0.414915 | + | 0.909860i | \(0.363811\pi\) |
−0.995420 | + | 0.0956032i | \(0.969522\pi\) | |||||||
\(152\) | −1.23247 | − | 2.13470i | −0.0999666 | − | 0.173147i | ||||
\(153\) | 54.0722 | 4.37148 | ||||||||
\(154\) | −5.65327 | − | 11.7485i | −0.455554 | − | 0.946722i | ||||
\(155\) | −0.111888 | −0.00898705 | ||||||||
\(156\) | 4.97791 | + | 8.62199i | 0.398552 | + | 0.690312i | ||||
\(157\) | −4.52471 | + | 7.83702i | −0.361111 | + | 0.625462i | −0.988144 | − | 0.153530i | \(-0.950936\pi\) |
0.627033 | + | 0.778993i | \(0.284269\pi\) | |||||||
\(158\) | −1.26930 | + | 2.19849i | −0.100980 | + | 0.174903i | ||||
\(159\) | 3.73070 | + | 6.46176i | 0.295864 | + | 0.512451i | ||||
\(160\) | 5.20612 | 0.411580 | ||||||||
\(161\) | 7.10776 | − | 10.4182i | 0.560170 | − | 0.821068i | ||||
\(162\) | −28.6468 | −2.25070 | ||||||||
\(163\) | 4.44632 | + | 7.70125i | 0.348263 | + | 0.603209i | 0.985941 | − | 0.167094i | \(-0.0534384\pi\) |
−0.637678 | + | 0.770303i | \(0.720105\pi\) | |||||||
\(164\) | 0.592766 | − | 1.02670i | 0.0462872 | − | 0.0801718i | ||||
\(165\) | −8.51879 | + | 14.7550i | −0.663187 | + | 1.14867i | ||||
\(166\) | 1.54082 | + | 2.66878i | 0.119591 | + | 0.207137i | ||||
\(167\) | 7.46298 | 0.577503 | 0.288751 | − | 0.957404i | \(-0.406760\pi\) | ||||
0.288751 | + | 0.957404i | \(0.406760\pi\) | |||||||
\(168\) | 25.2207 | + | 1.89795i | 1.94582 | + | 0.146430i | ||||
\(169\) | −6.62182 | −0.509371 | ||||||||
\(170\) | −2.84175 | − | 4.92206i | −0.217952 | − | 0.377505i | ||||
\(171\) | −3.45400 | + | 5.98251i | −0.264134 | + | 0.457494i | ||||
\(172\) | 0.975148 | − | 1.68901i | 0.0743543 | − | 0.128785i | ||||
\(173\) | 7.51035 | + | 13.0083i | 0.571001 | + | 0.989003i | 0.996463 | + | 0.0840268i | \(0.0267781\pi\) |
−0.425462 | + | 0.904976i | \(0.639889\pi\) | |||||||
\(174\) | 9.85857 | 0.747377 | ||||||||
\(175\) | 10.8684 | + | 0.817884i | 0.821572 | + | 0.0618262i | ||||
\(176\) | −1.22013 | −0.0919711 | ||||||||
\(177\) | 7.39278 | + | 12.8047i | 0.555675 | + | 0.962457i | ||||
\(178\) | −6.42641 | + | 11.1309i | −0.481680 | + | 0.834294i | ||||
\(179\) | 8.95967 | − | 15.5186i | 0.669677 | − | 1.15991i | −0.308317 | − | 0.951284i | \(-0.599766\pi\) |
0.977994 | − | 0.208631i | \(-0.0669008\pi\) | |||||||
\(180\) | −4.48145 | − | 7.76210i | −0.334028 | − | 0.578553i | ||||
\(181\) | −24.9578 | −1.85510 | −0.927548 | − | 0.373705i | \(-0.878087\pi\) | ||||
−0.927548 | + | 0.373705i | \(0.878087\pi\) | |||||||
\(182\) | 3.39851 | − | 4.98136i | 0.251914 | − | 0.369243i | ||||
\(183\) | −39.7707 | −2.93994 | ||||||||
\(184\) | −6.85203 | − | 11.8681i | −0.505138 | − | 0.874925i | ||||
\(185\) | −1.79179 | + | 3.10347i | −0.131735 | + | 0.228171i | ||||
\(186\) | −0.178910 | + | 0.309882i | −0.0131183 | + | 0.0227216i | ||||
\(187\) | −18.3232 | − | 31.7366i | −1.33992 | − | 2.32081i | ||||
\(188\) | −5.61564 | −0.409563 | ||||||||
\(189\) | −19.2902 | − | 40.0885i | −1.40316 | − | 2.91601i | ||||
\(190\) | 0.726098 | 0.0526767 | ||||||||
\(191\) | −8.15068 | − | 14.1174i | −0.589762 | − | 1.02150i | −0.994263 | − | 0.106961i | \(-0.965888\pi\) |
0.404501 | − | 0.914538i | \(-0.367445\pi\) | |||||||
\(192\) | 9.06768 | − | 15.7057i | 0.654403 | − | 1.13346i | ||||
\(193\) | 4.87475 | − | 8.44331i | 0.350892 | − | 0.607763i | −0.635514 | − | 0.772089i | \(-0.719212\pi\) |
0.986406 | + | 0.164326i | \(0.0525450\pi\) | |||||||
\(194\) | −3.79288 | − | 6.56946i | −0.272313 | − | 0.471660i | ||||
\(195\) | −7.88015 | −0.564309 | ||||||||
\(196\) | 3.02704 | + | 7.72695i | 0.216217 | + | 0.551925i | ||||
\(197\) | −24.4370 | −1.74106 | −0.870531 | − | 0.492114i | \(-0.836224\pi\) | ||||
−0.870531 | + | 0.492114i | \(0.836224\pi\) | |||||||
\(198\) | 19.8515 | + | 34.3839i | 1.41079 | + | 2.44356i | ||||
\(199\) | 2.46523 | − | 4.26990i | 0.174756 | − | 0.302685i | −0.765321 | − | 0.643649i | \(-0.777420\pi\) |
0.940077 | + | 0.340963i | \(0.110753\pi\) | |||||||
\(200\) | 5.92149 | − | 10.2563i | 0.418713 | − | 0.725232i | ||||
\(201\) | −19.5040 | − | 33.7820i | −1.37571 | − | 2.38280i | ||||
\(202\) | 5.66133 | 0.398330 | ||||||||
\(203\) | 3.76879 | + | 7.83223i | 0.264517 | + | 0.549714i | ||||
\(204\) | 26.4568 | 1.85235 | ||||||||
\(205\) | 0.469181 | + | 0.812645i | 0.0327690 | + | 0.0567576i | ||||
\(206\) | 3.94638 | − | 6.83534i | 0.274958 | − | 0.476241i | ||||
\(207\) | −19.2028 | + | 33.2603i | −1.33469 | + | 2.31175i | ||||
\(208\) | −0.282166 | − | 0.488725i | −0.0195647 | − | 0.0338870i | ||||
\(209\) | 4.68176 | 0.323844 | ||||||||
\(210\) | −4.19881 | + | 6.15440i | −0.289745 | + | 0.424694i | ||||
\(211\) | 27.1561 | 1.86950 | 0.934751 | − | 0.355303i | \(-0.115622\pi\) | ||||
0.934751 | + | 0.355303i | \(0.115622\pi\) | |||||||
\(212\) | 1.33011 | + | 2.30382i | 0.0913523 | + | 0.158227i | ||||
\(213\) | 16.2673 | − | 28.1759i | 1.11462 | − | 1.93058i | ||||
\(214\) | −4.74834 | + | 8.22436i | −0.324590 | + | 0.562206i | ||||
\(215\) | 0.771841 | + | 1.33687i | 0.0526391 | + | 0.0911736i | ||||
\(216\) | −48.3409 | −3.28918 | ||||||||
\(217\) | −0.314583 | − | 0.0236735i | −0.0213553 | − | 0.00160706i | ||||
\(218\) | 2.93172 | 0.198561 | ||||||||
\(219\) | −6.17705 | − | 10.6990i | −0.417407 | − | 0.722970i | ||||
\(220\) | −3.03721 | + | 5.26061i | −0.204769 | + | 0.354670i | ||||
\(221\) | 8.47475 | − | 14.6787i | 0.570073 | − | 0.987396i | ||||
\(222\) | 5.73019 | + | 9.92498i | 0.384585 | + | 0.666121i | ||||
\(223\) | −8.74237 | −0.585432 | −0.292716 | − | 0.956199i | \(-0.594559\pi\) | ||||
−0.292716 | + | 0.956199i | \(0.594559\pi\) | |||||||
\(224\) | 14.6375 | + | 1.10152i | 0.978008 | + | 0.0735985i | ||||
\(225\) | −33.1900 | −2.21267 | ||||||||
\(226\) | 1.89743 | + | 3.28644i | 0.126215 | + | 0.218611i | ||||
\(227\) | −7.34492 | + | 12.7218i | −0.487500 | + | 0.844374i | −0.999897 | − | 0.0143744i | \(-0.995424\pi\) |
0.512397 | + | 0.858749i | \(0.328758\pi\) | |||||||
\(228\) | −1.69000 | + | 2.92716i | −0.111923 | + | 0.193856i | ||||
\(229\) | 2.65206 | + | 4.59350i | 0.175253 | + | 0.303547i | 0.940249 | − | 0.340488i | \(-0.110592\pi\) |
−0.764996 | + | 0.644035i | \(0.777259\pi\) | |||||||
\(230\) | 4.03680 | 0.266179 | ||||||||
\(231\) | −27.0733 | + | 39.6826i | −1.78129 | + | 2.61092i | ||||
\(232\) | 9.44453 | 0.620064 | ||||||||
\(233\) | 2.21282 | + | 3.83271i | 0.144967 | + | 0.251089i | 0.929360 | − | 0.369174i | \(-0.120359\pi\) |
−0.784394 | + | 0.620263i | \(0.787026\pi\) | |||||||
\(234\) | −9.18165 | + | 15.9031i | −0.600223 | + | 1.03962i | ||||
\(235\) | 2.22242 | − | 3.84935i | 0.144975 | − | 0.251104i | ||||
\(236\) | 2.63575 | + | 4.56526i | 0.171573 | + | 0.297173i | ||||
\(237\) | 9.35347 | 0.607573 | ||||||||
\(238\) | −6.94843 | − | 14.4401i | −0.450400 | − | 0.936012i | ||||
\(239\) | −0.685835 | −0.0443630 | −0.0221815 | − | 0.999754i | \(-0.507061\pi\) | ||||
−0.0221815 | + | 0.999754i | \(0.507061\pi\) | |||||||
\(240\) | 0.348612 | + | 0.603813i | 0.0225028 | + | 0.0389760i | ||||
\(241\) | −4.43393 | + | 7.67979i | −0.285614 | + | 0.494699i | −0.972758 | − | 0.231823i | \(-0.925531\pi\) |
0.687144 | + | 0.726522i | \(0.258864\pi\) | |||||||
\(242\) | 8.49034 | − | 14.7057i | 0.545780 | − | 0.945319i | ||||
\(243\) | 27.5520 | + | 47.7215i | 1.76746 | + | 3.06134i | ||||
\(244\) | −14.1795 | −0.907749 | ||||||||
\(245\) | −6.49456 | − | 0.983044i | −0.414922 | − | 0.0628044i | ||||
\(246\) | 3.00091 | 0.191331 | ||||||||
\(247\) | 1.08269 | + | 1.87528i | 0.0688902 | + | 0.119321i | ||||
\(248\) | −0.171396 | + | 0.296867i | −0.0108837 | + | 0.0188511i | ||||
\(249\) | 5.67715 | − | 9.83312i | 0.359775 | − | 0.623149i | ||||
\(250\) | 3.86142 | + | 6.68818i | 0.244218 | + | 0.422998i | ||||
\(251\) | 3.42941 | 0.216463 | 0.108231 | − | 0.994126i | \(-0.465481\pi\) | ||||
0.108231 | + | 0.994126i | \(0.465481\pi\) | |||||||
\(252\) | −10.9577 | − | 22.7721i | −0.690270 | − | 1.43451i | ||||
\(253\) | 26.0287 | 1.63641 | ||||||||
\(254\) | 2.87377 | + | 4.97751i | 0.180316 | + | 0.312317i | ||||
\(255\) | −10.4704 | + | 18.1353i | −0.655684 | + | 1.13568i | ||||
\(256\) | 8.23994 | − | 14.2720i | 0.514997 | − | 0.892000i | ||||
\(257\) | −7.61522 | − | 13.1899i | −0.475024 | − | 0.822766i | 0.524567 | − | 0.851369i | \(-0.324227\pi\) |
−0.999591 | + | 0.0286035i | \(0.990894\pi\) | |||||||
\(258\) | 4.93674 | 0.307348 | ||||||||
\(259\) | −5.69442 | + | 8.34658i | −0.353834 | + | 0.518631i | ||||
\(260\) | −2.80952 | −0.174239 | ||||||||
\(261\) | −13.2342 | − | 22.9222i | −0.819174 | − | 1.41885i | ||||
\(262\) | 2.93624 | − | 5.08572i | 0.181402 | − | 0.314197i | ||||
\(263\) | 6.13704 | − | 10.6297i | 0.378426 | − | 0.655453i | −0.612408 | − | 0.790542i | \(-0.709799\pi\) |
0.990833 | + | 0.135089i | \(0.0431322\pi\) | |||||||
\(264\) | 26.0992 | + | 45.2051i | 1.60629 | + | 2.78218i | ||||
\(265\) | −2.10560 | −0.129346 | ||||||||
\(266\) | 2.04149 | + | 0.153629i | 0.125172 | + | 0.00941962i | ||||
\(267\) | 47.3562 | 2.89815 | ||||||||
\(268\) | −6.95380 | − | 12.0443i | −0.424771 | − | 0.735724i | ||||
\(269\) | −6.41499 | + | 11.1111i | −0.391129 | + | 0.677455i | −0.992599 | − | 0.121440i | \(-0.961249\pi\) |
0.601470 | + | 0.798896i | \(0.294582\pi\) | |||||||
\(270\) | 7.11989 | − | 12.3320i | 0.433303 | − | 0.750503i | ||||
\(271\) | −8.98588 | − | 15.5640i | −0.545854 | − | 0.945446i | −0.998553 | − | 0.0537828i | \(-0.982872\pi\) |
0.452699 | − | 0.891663i | \(-0.350461\pi\) | |||||||
\(272\) | −1.49967 | −0.0909306 | ||||||||
\(273\) | −22.1558 | − | 1.66730i | −1.34093 | − | 0.100910i | ||||
\(274\) | −11.9700 | −0.723135 | ||||||||
\(275\) | 11.2469 | + | 19.4802i | 0.678215 | + | 1.17470i | ||||
\(276\) | −9.39569 | + | 16.2738i | −0.565554 | + | 0.979568i | ||||
\(277\) | 0.417368 | − | 0.722903i | 0.0250772 | − | 0.0434350i | −0.853214 | − | 0.521560i | \(-0.825350\pi\) |
0.878292 | + | 0.478125i | \(0.158684\pi\) | |||||||
\(278\) | 2.33647 | + | 4.04689i | 0.140132 | + | 0.242717i | ||||
\(279\) | 0.960678 | 0.0575143 | ||||||||
\(280\) | −4.02247 | + | 5.89592i | −0.240388 | + | 0.352349i | ||||
\(281\) | 5.96703 | 0.355963 | 0.177982 | − | 0.984034i | \(-0.443043\pi\) | ||||
0.177982 | + | 0.984034i | \(0.443043\pi\) | |||||||
\(282\) | −7.10737 | − | 12.3103i | −0.423238 | − | 0.733069i | ||||
\(283\) | −9.20789 | + | 15.9485i | −0.547352 | + | 0.948042i | 0.451103 | + | 0.892472i | \(0.351031\pi\) |
−0.998455 | + | 0.0555695i | \(0.982303\pi\) | |||||||
\(284\) | 5.79981 | − | 10.0456i | 0.344156 | − | 0.596095i | ||||
\(285\) | −1.33765 | − | 2.31688i | −0.0792358 | − | 0.137240i | ||||
\(286\) | 12.4454 | 0.735909 | ||||||||
\(287\) | 1.14720 | + | 2.38410i | 0.0677173 | + | 0.140729i | ||||
\(288\) | −44.7001 | −2.63398 | ||||||||
\(289\) | −14.0210 | − | 24.2851i | −0.824764 | − | 1.42853i | ||||
\(290\) | −1.39104 | + | 2.40935i | −0.0816845 | + | 0.141482i | ||||
\(291\) | −13.9749 | + | 24.2052i | −0.819221 | + | 1.41893i | ||||
\(292\) | −2.20231 | − | 3.81452i | −0.128881 | − | 0.223228i | ||||
\(293\) | −18.3646 | −1.07287 | −0.536435 | − | 0.843941i | \(-0.680229\pi\) | ||||
−0.536435 | + | 0.843941i | \(0.680229\pi\) | |||||||
\(294\) | −13.1075 | + | 16.4153i | −0.764445 | + | 0.957357i | ||||
\(295\) | −4.17246 | −0.242930 | ||||||||
\(296\) | 5.48953 | + | 9.50815i | 0.319073 | + | 0.552650i | ||||
\(297\) | 45.9079 | − | 79.5149i | 2.66385 | − | 4.61392i | ||||
\(298\) | 1.65866 | − | 2.87288i | 0.0960835 | − | 0.166422i | ||||
\(299\) | 6.01933 | + | 10.4258i | 0.348107 | + | 0.602939i | ||||
\(300\) | −16.2394 | −0.937584 | ||||||||
\(301\) | 1.88724 | + | 3.92203i | 0.108779 | + | 0.226062i | ||||
\(302\) | −12.8754 | −0.740897 | ||||||||
\(303\) | −10.4296 | − | 18.0646i | −0.599164 | − | 1.03778i | ||||
\(304\) | 0.0957951 | − | 0.165922i | 0.00549423 | − | 0.00951628i | ||||
\(305\) | 5.61162 | − | 9.71960i | 0.321320 | − | 0.556543i | ||||
\(306\) | 24.3995 | + | 42.2612i | 1.39483 | + | 2.41591i | ||||
\(307\) | 16.8758 | 0.963153 | 0.481577 | − | 0.876404i | \(-0.340064\pi\) | ||||
0.481577 | + | 0.876404i | \(0.340064\pi\) | |||||||
\(308\) | −9.65246 | + | 14.1481i | −0.550000 | + | 0.806161i | ||||
\(309\) | −29.0809 | −1.65436 | ||||||||
\(310\) | −0.0504882 | − | 0.0874482i | −0.00286754 | − | 0.00496672i | ||||
\(311\) | −5.22685 | + | 9.05317i | −0.296387 | + | 0.513358i | −0.975307 | − | 0.220855i | \(-0.929115\pi\) |
0.678919 | + | 0.734213i | \(0.262449\pi\) | |||||||
\(312\) | −12.0713 | + | 20.9081i | −0.683401 | + | 1.18369i | ||||
\(313\) | 3.13464 | + | 5.42936i | 0.177180 | + | 0.306886i | 0.940914 | − | 0.338646i | \(-0.109969\pi\) |
−0.763733 | + | 0.645532i | \(0.776636\pi\) | |||||||
\(314\) | −8.16691 | −0.460885 | ||||||||
\(315\) | 19.9461 | + | 1.50102i | 1.12384 | + | 0.0845727i | ||||
\(316\) | 3.33480 | 0.187597 | ||||||||
\(317\) | 13.0875 | + | 22.6682i | 0.735066 | + | 1.27317i | 0.954694 | + | 0.297589i | \(0.0961824\pi\) |
−0.219628 | + | 0.975584i | \(0.570484\pi\) | |||||||
\(318\) | −3.36688 | + | 5.83160i | −0.188805 | + | 0.327020i | ||||
\(319\) | −8.96918 | + | 15.5351i | −0.502178 | + | 0.869798i | ||||
\(320\) | 2.55889 | + | 4.43212i | 0.143046 | + | 0.247763i | ||||
\(321\) | 34.9905 | 1.95298 | ||||||||
\(322\) | 11.3498 | + | 0.854116i | 0.632502 | + | 0.0475980i | ||||
\(323\) | 5.75435 | 0.320181 | ||||||||
\(324\) | 18.8157 | + | 32.5898i | 1.04532 | + | 1.81055i | ||||
\(325\) | −5.20188 | + | 9.00992i | −0.288548 | + | 0.499781i | ||||
\(326\) | −4.01271 | + | 6.95022i | −0.222244 | + | 0.384937i | ||||
\(327\) | −5.40097 | − | 9.35475i | −0.298674 | − | 0.517319i | ||||
\(328\) | 2.87488 | 0.158738 | ||||||||
\(329\) | 7.06300 | − | 10.3526i | 0.389396 | − | 0.570756i | ||||
\(330\) | −15.3761 | −0.846424 | ||||||||
\(331\) | −3.67575 | − | 6.36658i | −0.202037 | − | 0.349939i | 0.747147 | − | 0.664658i | \(-0.231423\pi\) |
−0.949185 | + | 0.314719i | \(0.898090\pi\) | |||||||
\(332\) | 2.02408 | − | 3.50581i | 0.111086 | − | 0.192406i | ||||
\(333\) | 15.3844 | − | 26.6466i | 0.843062 | − | 1.46023i | ||||
\(334\) | 3.36759 | + | 5.83284i | 0.184266 | + | 0.319159i | ||||
\(335\) | 11.0080 | 0.601432 | ||||||||
\(336\) | 0.852398 | + | 1.77144i | 0.0465021 | + | 0.0966398i | ||||
\(337\) | −1.58075 | −0.0861092 | −0.0430546 | − | 0.999073i | \(-0.513709\pi\) | ||||
−0.0430546 | + | 0.999073i | \(0.513709\pi\) | |||||||
\(338\) | −2.98803 | − | 5.17542i | −0.162527 | − | 0.281506i | ||||
\(339\) | 6.99108 | − | 12.1089i | 0.379703 | − | 0.657665i | ||||
\(340\) | −3.73303 | + | 6.46581i | −0.202452 | + | 0.350658i | ||||
\(341\) | −0.325540 | − | 0.563852i | −0.0176290 | − | 0.0305343i | ||||
\(342\) | −6.23433 | −0.337114 | ||||||||
\(343\) | −18.0521 | − | 4.13805i | −0.974719 | − | 0.223434i | ||||
\(344\) | 4.72940 | 0.254992 | ||||||||
\(345\) | −7.43680 | − | 12.8809i | −0.400384 | − | 0.693485i | ||||
\(346\) | −6.77793 | + | 11.7397i | −0.364384 | + | 0.631131i | ||||
\(347\) | −10.9417 | + | 18.9516i | −0.587382 | + | 1.01737i | 0.407192 | + | 0.913342i | \(0.366508\pi\) |
−0.994574 | + | 0.104032i | \(0.966825\pi\) | |||||||
\(348\) | −6.47530 | − | 11.2155i | −0.347113 | − | 0.601217i | ||||
\(349\) | 5.31231 | 0.284362 | 0.142181 | − | 0.989841i | \(-0.454589\pi\) | ||||
0.142181 | + | 0.989841i | \(0.454589\pi\) | |||||||
\(350\) | 4.26501 | + | 8.86346i | 0.227974 | + | 0.473772i | ||||
\(351\) | 42.4663 | 2.26668 | ||||||||
\(352\) | 15.1473 | + | 26.2359i | 0.807354 | + | 1.39838i | ||||
\(353\) | −12.7642 | + | 22.1083i | −0.679371 | + | 1.17671i | 0.295799 | + | 0.955250i | \(0.404414\pi\) |
−0.975170 | + | 0.221456i | \(0.928919\pi\) | |||||||
\(354\) | −6.67183 | + | 11.5559i | −0.354604 | + | 0.614191i | ||||
\(355\) | 4.59062 | + | 7.95118i | 0.243645 | + | 0.422005i | ||||
\(356\) | 16.8840 | 0.894848 | ||||||||
\(357\) | −33.2757 | + | 48.7738i | −1.76114 | + | 2.58138i | ||||
\(358\) | 16.1718 | 0.854708 | ||||||||
\(359\) | −10.1139 | − | 17.5178i | −0.533792 | − | 0.924555i | −0.999221 | − | 0.0394699i | \(-0.987433\pi\) |
0.465428 | − | 0.885086i | \(-0.345900\pi\) | |||||||
\(360\) | 10.8674 | − | 18.8228i | 0.572761 | − | 0.992051i | ||||
\(361\) | 9.13243 | − | 15.8178i | 0.480654 | − | 0.832517i | ||||
\(362\) | −11.2619 | − | 19.5062i | −0.591914 | − | 1.02522i | ||||
\(363\) | −62.5653 | −3.28383 | ||||||||
\(364\) | −7.89922 | − | 0.594444i | −0.414032 | − | 0.0311573i | ||||
\(365\) | 3.48631 | 0.182482 | ||||||||
\(366\) | −17.9461 | − | 31.0836i | −0.938059 | − | 1.62477i | ||||
\(367\) | 16.3207 | − | 28.2683i | 0.851934 | − | 1.47559i | −0.0275261 | − | 0.999621i | \(-0.508763\pi\) |
0.879460 | − | 0.475972i | \(-0.157904\pi\) | |||||||
\(368\) | 0.532581 | − | 0.922457i | 0.0277627 | − | 0.0480864i | ||||
\(369\) | −4.02843 | − | 6.97744i | −0.209711 | − | 0.363231i | ||||
\(370\) | −3.23410 | −0.168133 | ||||||||
\(371\) | −5.92008 | − | 0.445507i | −0.307355 | − | 0.0231296i | ||||
\(372\) | 0.470047 | 0.0243708 | ||||||||
\(373\) | 4.42301 | + | 7.66089i | 0.229015 | + | 0.396666i | 0.957516 | − | 0.288379i | \(-0.0931162\pi\) |
−0.728501 | + | 0.685044i | \(0.759783\pi\) | |||||||
\(374\) | 16.5363 | − | 28.6417i | 0.855070 | − | 1.48103i | ||||
\(375\) | 14.2274 | − | 24.6426i | 0.734701 | − | 1.27254i | ||||
\(376\) | −6.80887 | − | 11.7933i | −0.351141 | − | 0.608194i | ||||
\(377\) | −8.29678 | −0.427306 | ||||||||
\(378\) | 22.6275 | − | 33.1662i | 1.16383 | − | 1.70588i | ||||
\(379\) | 10.5565 | 0.542252 | 0.271126 | − | 0.962544i | \(-0.412604\pi\) | ||||
0.271126 | + | 0.962544i | \(0.412604\pi\) | |||||||
\(380\) | −0.476915 | − | 0.826041i | −0.0244652 | − | 0.0423750i | ||||
\(381\) | 10.5884 | − | 18.3397i | 0.542460 | − | 0.939569i | ||||
\(382\) | 7.35582 | − | 12.7406i | 0.376356 | − | 0.651868i | ||||
\(383\) | −12.4272 | − | 21.5245i | −0.634998 | − | 1.09985i | −0.986516 | − | 0.163668i | \(-0.947667\pi\) |
0.351517 | − | 0.936181i | \(-0.385666\pi\) | |||||||
\(384\) | −20.5301 | −1.04767 | ||||||||
\(385\) | −5.87805 | − | 12.2156i | −0.299573 | − | 0.622567i | ||||
\(386\) | 8.79872 | 0.447843 | ||||||||
\(387\) | −6.62709 | − | 11.4785i | −0.336874 | − | 0.583482i | ||||
\(388\) | −4.98247 | + | 8.62989i | −0.252947 | + | 0.438116i | ||||
\(389\) | −3.62123 | + | 6.27215i | −0.183604 | + | 0.318011i | −0.943105 | − | 0.332495i | \(-0.892110\pi\) |
0.759501 | + | 0.650506i | \(0.225443\pi\) | |||||||
\(390\) | −3.55583 | − | 6.15889i | −0.180057 | − | 0.311867i | ||||
\(391\) | 31.9918 | 1.61789 | ||||||||
\(392\) | −12.5570 | + | 15.7258i | −0.634225 | + | 0.794275i | ||||
\(393\) | −21.6372 | −1.09145 | ||||||||
\(394\) | −11.0269 | − | 19.0992i | −0.555528 | − | 0.962203i | ||||
\(395\) | −1.31977 | + | 2.28590i | −0.0664047 | + | 0.115016i | ||||
\(396\) | 26.0778 | − | 45.1680i | 1.31046 | − | 2.26978i | ||||
\(397\) | 17.3510 | + | 30.0527i | 0.870819 | + | 1.50830i | 0.861151 | + | 0.508350i | \(0.169744\pi\) |
0.00966877 | + | 0.999953i | \(0.496922\pi\) | |||||||
\(398\) | 4.44964 | 0.223040 | ||||||||
\(399\) | −3.27073 | − | 6.79716i | −0.163741 | − | 0.340284i | ||||
\(400\) | 0.920509 | 0.0460254 | ||||||||
\(401\) | −9.38251 | − | 16.2510i | −0.468540 | − | 0.811535i | 0.530813 | − | 0.847489i | \(-0.321887\pi\) |
−0.999353 | + | 0.0359533i | \(0.988553\pi\) | |||||||
\(402\) | 17.6020 | − | 30.4875i | 0.877908 | − | 1.52058i | ||||
\(403\) | 0.150567 | − | 0.260790i | 0.00750030 | − | 0.0129909i | ||||
\(404\) | −3.71847 | − | 6.44058i | −0.185001 | − | 0.320431i | ||||
\(405\) | −29.7858 | −1.48007 | ||||||||
\(406\) | −4.42080 | + | 6.47978i | −0.219401 | + | 0.321586i | ||||
\(407\) | −20.8530 | −1.03364 | ||||||||
\(408\) | 32.0785 | + | 55.5615i | 1.58812 | + | 2.75070i | ||||
\(409\) | −14.8238 | + | 25.6755i | −0.732989 | + | 1.26957i | 0.222611 | + | 0.974907i | \(0.428542\pi\) |
−0.955600 | + | 0.294667i | \(0.904791\pi\) | |||||||
\(410\) | −0.423426 | + | 0.733395i | −0.0209115 | + | 0.0362198i | ||||
\(411\) | 22.0518 | + | 38.1948i | 1.08773 | + | 1.88401i | ||||
\(412\) | −10.3682 | −0.510807 | ||||||||
\(413\) | −11.7313 | − | 0.882819i | −0.577257 | − | 0.0434407i | ||||
\(414\) | −34.6603 | −1.70346 | ||||||||
\(415\) | 1.60208 | + | 2.77489i | 0.0786432 | + | 0.136214i | ||||
\(416\) | −7.00587 | + | 12.1345i | −0.343491 | + | 0.594944i | ||||
\(417\) | 8.60874 | − | 14.9108i | 0.421572 | − | 0.730184i | ||||
\(418\) | 2.11260 | + | 3.65912i | 0.103330 | + | 0.178974i | ||||
\(419\) | −8.62323 | −0.421273 | −0.210636 | − | 0.977564i | \(-0.567554\pi\) | ||||
−0.210636 | + | 0.977564i | \(0.567554\pi\) | |||||||
\(420\) | 9.75937 | + | 0.734427i | 0.476209 | + | 0.0358364i | ||||
\(421\) | 11.6599 | 0.568267 | 0.284134 | − | 0.958785i | \(-0.408294\pi\) | ||||
0.284134 | + | 0.958785i | \(0.408294\pi\) | |||||||
\(422\) | 12.2539 | + | 21.2244i | 0.596511 | + | 1.03319i | ||||
\(423\) | −19.0819 | + | 33.0508i | −0.927793 | + | 1.60699i | ||||
\(424\) | −3.22547 | + | 5.58669i | −0.156643 | + | 0.271313i | ||||
\(425\) | 13.8236 | + | 23.9432i | 0.670542 | + | 1.16141i | ||||
\(426\) | 29.3619 | 1.42259 | ||||||||
\(427\) | 17.8341 | − | 26.1403i | 0.863051 | − | 1.26502i | ||||
\(428\) | 12.4752 | 0.603012 | ||||||||
\(429\) | −22.9275 | − | 39.7115i | −1.10695 | − | 1.91729i | ||||
\(430\) | −0.696570 | + | 1.20649i | −0.0335916 | + | 0.0581823i | ||||
\(431\) | 14.2606 | − | 24.7001i | 0.686910 | − | 1.18976i | −0.285923 | − | 0.958253i | \(-0.592300\pi\) |
0.972833 | − | 0.231510i | \(-0.0743665\pi\) | |||||||
\(432\) | −1.87868 | − | 3.25396i | −0.0903878 | − | 0.156556i | ||||
\(433\) | −6.13071 | −0.294623 | −0.147312 | − | 0.989090i | \(-0.547062\pi\) | ||||
−0.147312 | + | 0.989090i | \(0.547062\pi\) | |||||||
\(434\) | −0.123450 | − | 0.256551i | −0.00592578 | − | 0.0123148i | ||||
\(435\) | 10.2506 | 0.491476 | ||||||||
\(436\) | −1.92561 | − | 3.33526i | −0.0922201 | − | 0.159730i | ||||
\(437\) | −2.04356 | + | 3.53955i | −0.0977568 | + | 0.169320i | ||||
\(438\) | 5.57466 | − | 9.65560i | 0.266368 | − | 0.461362i | ||||
\(439\) | −11.6640 | − | 20.2026i | −0.556692 | − | 0.964219i | −0.997770 | − | 0.0667500i | \(-0.978737\pi\) |
0.441078 | − | 0.897469i | \(-0.354596\pi\) | |||||||
\(440\) | −14.7303 | −0.702239 | ||||||||
\(441\) | 55.7628 | + | 8.44049i | 2.65537 | + | 0.401928i | ||||
\(442\) | 15.2966 | 0.727584 | ||||||||
\(443\) | 11.1142 | + | 19.2504i | 0.528053 | + | 0.914615i | 0.999465 | + | 0.0327020i | \(0.0104112\pi\) |
−0.471412 | + | 0.881913i | \(0.656255\pi\) | |||||||
\(444\) | 7.52740 | − | 13.0378i | 0.357235 | − | 0.618749i | ||||
\(445\) | −6.68193 | + | 11.5734i | −0.316754 | + | 0.548634i | ||||
\(446\) | −3.94490 | − | 6.83277i | −0.186797 | − | 0.323541i | ||||
\(447\) | −12.2227 | −0.578112 | ||||||||
\(448\) | 6.25679 | + | 13.0027i | 0.295605 | + | 0.614321i | ||||
\(449\) | −11.6146 | −0.548126 | −0.274063 | − | 0.961712i | \(-0.588368\pi\) | ||||
−0.274063 | + | 0.961712i | \(0.588368\pi\) | |||||||
\(450\) | −14.9766 | − | 25.9403i | −0.706006 | − | 1.22284i | ||||
\(451\) | −2.73018 | + | 4.72882i | −0.128559 | + | 0.222671i | ||||
\(452\) | 2.49254 | − | 4.31720i | 0.117239 | − | 0.203064i | ||||
\(453\) | 23.7197 | + | 41.0838i | 1.11445 | + | 1.93028i | ||||
\(454\) | −13.2573 | −0.622195 | ||||||||
\(455\) | 3.53363 | − | 5.17942i | 0.165659 | − | 0.242815i | ||||
\(456\) | −8.19639 | −0.383831 | ||||||||
\(457\) | 1.71196 | + | 2.96521i | 0.0800823 | + | 0.138707i | 0.903285 | − | 0.429041i | \(-0.141148\pi\) |
−0.823203 | + | 0.567747i | \(0.807815\pi\) | |||||||
\(458\) | −2.39343 | + | 4.14554i | −0.111838 | + | 0.193708i | ||||
\(459\) | 56.4254 | − | 97.7316i | 2.63371 | − | 4.56172i | ||||
\(460\) | −2.65145 | − | 4.59244i | −0.123624 | − | 0.214124i | ||||
\(461\) | 9.15435 | 0.426360 | 0.213180 | − | 0.977013i | \(-0.431618\pi\) | ||||
0.213180 | + | 0.977013i | \(0.431618\pi\) | |||||||
\(462\) | −43.2312 | − | 3.25330i | −2.01130 | − | 0.151357i | ||||
\(463\) | 4.14841 | 0.192793 | 0.0963965 | − | 0.995343i | \(-0.469268\pi\) | ||||
0.0963965 | + | 0.995343i | \(0.469268\pi\) | |||||||
\(464\) | 0.367043 | + | 0.635737i | 0.0170395 | + | 0.0295134i | ||||
\(465\) | −0.186024 | + | 0.322203i | −0.00862665 | + | 0.0149418i | ||||
\(466\) | −1.99702 | + | 3.45894i | −0.0925103 | + | 0.160233i | ||||
\(467\) | 1.67482 | + | 2.90087i | 0.0775014 | + | 0.134236i | 0.902171 | − | 0.431378i | \(-0.141972\pi\) |
−0.824670 | + | 0.565614i | \(0.808639\pi\) | |||||||
\(468\) | 24.1227 | 1.11507 | ||||||||
\(469\) | 30.9501 | + | 2.32910i | 1.42914 | + | 0.107548i | ||||
\(470\) | 4.01138 | 0.185031 | ||||||||
\(471\) | 15.0455 | + | 26.0595i | 0.693259 | + | 1.20076i | ||||
\(472\) | −6.39162 | + | 11.0706i | −0.294198 | + | 0.509566i | ||||
\(473\) | −4.49137 | + | 7.77929i | −0.206514 | + | 0.357692i | ||||
\(474\) | 4.22066 | + | 7.31039i | 0.193861 | + | 0.335777i | ||||
\(475\) | −3.53207 | −0.162063 | ||||||||
\(476\) | −11.8638 | + | 17.3894i | −0.543777 | + | 0.797040i | ||||
\(477\) | 18.0788 | 0.827772 | ||||||||
\(478\) | −0.309476 | − | 0.536028i | −0.0141551 | − | 0.0245174i | ||||
\(479\) | 1.01960 | − | 1.76600i | 0.0465866 | − | 0.0806904i | −0.841792 | − | 0.539802i | \(-0.818499\pi\) |
0.888378 | + | 0.459112i | \(0.151832\pi\) | |||||||
\(480\) | 8.65565 | − | 14.9920i | 0.395074 | − | 0.684289i | ||||
\(481\) | −4.82242 | − | 8.35267i | −0.219883 | − | 0.380849i | ||||
\(482\) | −8.00306 | −0.364529 | ||||||||
\(483\) | −18.1839 | − | 37.7894i | −0.827395 | − | 1.71948i | ||||
\(484\) | −22.3065 | −1.01393 | ||||||||
\(485\) | −3.94368 | − | 6.83066i | −0.179073 | − | 0.310164i | ||||
\(486\) | −24.8651 | + | 43.0677i | −1.12791 | + | 1.95359i | ||||
\(487\) | −13.4602 | + | 23.3138i | −0.609941 | + | 1.05645i | 0.381309 | + | 0.924448i | \(0.375474\pi\) |
−0.991250 | + | 0.132001i | \(0.957860\pi\) | |||||||
\(488\) | −17.1924 | − | 29.7781i | −0.778264 | − | 1.34799i | ||||
\(489\) | 29.5697 | 1.33719 | ||||||||
\(490\) | −2.16228 | − | 5.51954i | −0.0976820 | − | 0.249347i | ||||
\(491\) | −29.1260 | −1.31444 | −0.657218 | − | 0.753700i | \(-0.728267\pi\) | ||||
−0.657218 | + | 0.753700i | \(0.728267\pi\) | |||||||
\(492\) | −1.97106 | − | 3.41397i | −0.0888620 | − | 0.153914i | ||||
\(493\) | −11.0240 | + | 19.0942i | −0.496497 | + | 0.859957i | ||||
\(494\) | −0.977109 | + | 1.69240i | −0.0439622 | + | 0.0761448i | ||||
\(495\) | 20.6408 | + | 35.7510i | 0.927737 | + | 1.60689i | ||||
\(496\) | −0.0266439 | −0.00119635 | ||||||||
\(497\) | 11.2246 | + | 23.3268i | 0.503493 | + | 1.04635i | ||||
\(498\) | 10.2470 | 0.459180 | ||||||||
\(499\) | 9.99956 | + | 17.3197i | 0.447642 | + | 0.775338i | 0.998232 | − | 0.0594374i | \(-0.0189307\pi\) |
−0.550590 | + | 0.834776i | \(0.685597\pi\) | |||||||
\(500\) | 5.07251 | − | 8.78585i | 0.226850 | − | 0.392915i | ||||
\(501\) | 12.4079 | − | 21.4911i | 0.554344 | − | 0.960151i | ||||
\(502\) | 1.54749 | + | 2.68033i | 0.0690677 | + | 0.119629i | ||||
\(503\) | 41.5151 | 1.85107 | 0.925534 | − | 0.378663i | \(-0.123616\pi\) | ||||
0.925534 | + | 0.378663i | \(0.123616\pi\) | |||||||
\(504\) | 34.5372 | − | 50.6228i | 1.53841 | − | 2.25492i | ||||
\(505\) | 5.88643 | 0.261943 | ||||||||
\(506\) | 11.7452 | + | 20.3432i | 0.522136 | + | 0.904366i | ||||
\(507\) | −11.0094 | + | 19.0688i | −0.488944 | + | 0.846876i | ||||
\(508\) | 3.77509 | − | 6.53865i | 0.167493 | − | 0.290106i | ||||
\(509\) | −14.5064 | − | 25.1258i | −0.642985 | − | 1.11368i | −0.984763 | − | 0.173902i | \(-0.944363\pi\) |
0.341778 | − | 0.939781i | \(-0.388971\pi\) | |||||||
\(510\) | −18.8987 | −0.836848 | ||||||||
\(511\) | 9.80209 | + | 0.737642i | 0.433619 | + | 0.0326313i | ||||
\(512\) | 2.52453 | 0.111570 | ||||||||
\(513\) | 7.20864 | + | 12.4857i | 0.318269 | + | 0.551259i | ||||
\(514\) | 6.87257 | − | 11.9036i | 0.303136 | − | 0.525047i | ||||
\(515\) | 4.10329 | − | 7.10711i | 0.180813 | − | 0.313177i | ||||
\(516\) | −3.24255 | − | 5.61625i | −0.142745 | − | 0.247242i | ||||
\(517\) | 25.8647 | 1.13753 | ||||||||
\(518\) | −9.09298 | − | 0.684279i | −0.399523 | − | 0.0300655i | ||||
\(519\) | 49.9466 | 2.19241 | ||||||||
\(520\) | −3.40649 | − | 5.90022i | −0.149385 | − | 0.258742i | ||||
\(521\) | −5.67389 | + | 9.82747i | −0.248578 | + | 0.430549i | −0.963131 | − | 0.269031i | \(-0.913296\pi\) |
0.714554 | + | 0.699581i | \(0.246630\pi\) | |||||||
\(522\) | 11.9436 | − | 20.6868i | 0.522755 | − | 0.905439i | ||||
\(523\) | 12.6105 | + | 21.8421i | 0.551420 | + | 0.955088i | 0.998172 | + | 0.0604303i | \(0.0192473\pi\) |
−0.446752 | + | 0.894658i | \(0.647419\pi\) | |||||||
\(524\) | −7.71432 | −0.337002 | ||||||||
\(525\) | 20.4249 | − | 29.9378i | 0.891418 | − | 1.30659i | ||||
\(526\) | 11.0771 | 0.482984 | ||||||||
\(527\) | −0.400121 | − | 0.693030i | −0.0174295 | − | 0.0301889i | ||||
\(528\) | −2.02859 | + | 3.51361i | −0.0882829 | + | 0.152910i | ||||
\(529\) | 0.138653 | − | 0.240154i | 0.00602839 | − | 0.0104415i | ||||
\(530\) | −0.950128 | − | 1.64567i | −0.0412709 | − | 0.0714833i | ||||
\(531\) | 35.8251 | 1.55468 | ||||||||
\(532\) | −1.16612 | − | 2.42340i | −0.0505575 | − | 0.105068i | ||||
\(533\) | −2.52551 | −0.109392 | ||||||||
\(534\) | 21.3690 | + | 37.0122i | 0.924727 | + | 1.60167i | ||||
\(535\) | −4.93713 | + | 8.55137i | −0.213451 | + | 0.369708i | ||||
\(536\) | 16.8627 | − | 29.2071i | 0.728359 | − | 1.26156i | ||||
\(537\) | −29.7925 | − | 51.6022i | −1.28564 | − | 2.22680i | ||||
\(538\) | −11.5788 | −0.499197 | ||||||||
\(539\) | −13.9421 | − | 35.5891i | −0.600527 | − | 1.53293i | ||||
\(540\) | −18.7059 | −0.804975 | ||||||||
\(541\) | 17.6271 | + | 30.5310i | 0.757848 | + | 1.31263i | 0.943946 | + | 0.330100i | \(0.107083\pi\) |
−0.186098 | + | 0.982531i | \(0.559584\pi\) | |||||||
\(542\) | 8.10957 | − | 14.0462i | 0.348336 | − | 0.603336i | ||||
\(543\) | −41.4946 | + | 71.8707i | −1.78070 | + | 3.08427i | ||||
\(544\) | 18.6175 | + | 32.2465i | 0.798220 | + | 1.38256i | ||||
\(545\) | 3.04829 | 0.130574 | ||||||||
\(546\) | −8.69445 | − | 18.0686i | −0.372088 | − | 0.773266i | ||||
\(547\) | 31.7557 | 1.35778 | 0.678889 | − | 0.734241i | \(-0.262462\pi\) | ||||
0.678889 | + | 0.734241i | \(0.262462\pi\) | |||||||
\(548\) | 7.86214 | + | 13.6176i | 0.335854 | + | 0.581716i | ||||
\(549\) | −48.1818 | + | 83.4533i | −2.05635 | + | 3.56170i | ||||
\(550\) | −10.1501 | + | 17.5805i | −0.432802 | + | 0.749636i | ||||
\(551\) | −1.40838 | − | 2.43938i | −0.0599988 | − | 0.103921i | ||||
\(552\) | −45.5685 | −1.93952 | ||||||||
\(553\) | −4.19431 | + | 6.14779i | −0.178360 | + | 0.261431i | ||||
\(554\) | 0.753332 | 0.0320060 | ||||||||
\(555\) | 5.95803 | + | 10.3196i | 0.252904 | + | 0.438043i | ||||
\(556\) | 3.06928 | − | 5.31615i | 0.130167 | − | 0.225455i | ||||
\(557\) | −17.2338 | + | 29.8498i | −0.730219 | + | 1.26478i | 0.226571 | + | 0.973995i | \(0.427249\pi\) |
−0.956790 | + | 0.290781i | \(0.906085\pi\) | |||||||
\(558\) | 0.433496 | + | 0.750837i | 0.0183514 | + | 0.0317855i | ||||
\(559\) | −4.15466 | −0.175723 | ||||||||
\(560\) | −0.553196 | − | 0.0416299i | −0.0233768 | − | 0.00175919i | ||||
\(561\) | −121.856 | −5.14476 | ||||||||
\(562\) | 2.69256 | + | 4.66365i | 0.113579 | + | 0.196724i | ||||
\(563\) | −6.13481 | + | 10.6258i | −0.258552 | + | 0.447824i | −0.965854 | − | 0.259086i | \(-0.916579\pi\) |
0.707303 | + | 0.706911i | \(0.249912\pi\) | |||||||
\(564\) | −9.33652 | + | 16.1713i | −0.393138 | + | 0.680936i | ||||
\(565\) | 1.97287 | + | 3.41711i | 0.0829993 | + | 0.143759i | ||||
\(566\) | −16.6199 | −0.698584 | ||||||||
\(567\) | −83.7454 | − | 6.30214i | −3.51698 | − | 0.264665i | ||||
\(568\) | 28.1287 | 1.18025 | ||||||||
\(569\) | 6.70388 | + | 11.6115i | 0.281041 | + | 0.486778i | 0.971642 | − | 0.236459i | \(-0.0759868\pi\) |
−0.690600 | + | 0.723237i | \(0.742653\pi\) | |||||||
\(570\) | 1.20720 | − | 2.09094i | 0.0505642 | − | 0.0875798i | ||||
\(571\) | −5.21373 | + | 9.03045i | −0.218188 | + | 0.377912i | −0.954254 | − | 0.298997i | \(-0.903348\pi\) |
0.736066 | + | 0.676910i | \(0.236681\pi\) | |||||||
\(572\) | −8.17435 | − | 14.1584i | −0.341787 | − | 0.591992i | ||||
\(573\) | −54.2050 | −2.26445 | ||||||||
\(574\) | −1.34568 | + | 1.97242i | −0.0561674 | + | 0.0823272i | ||||
\(575\) | −19.6369 | −0.818914 | ||||||||
\(576\) | −21.9708 | − | 38.0545i | −0.915450 | − | 1.58561i | ||||
\(577\) | −0.701313 | + | 1.21471i | −0.0291960 | + | 0.0505690i | −0.880254 | − | 0.474502i | \(-0.842628\pi\) |
0.851058 | + | 0.525071i | \(0.175961\pi\) | |||||||
\(578\) | 12.6536 | − | 21.9168i | 0.526322 | − | 0.911617i | ||||
\(579\) | −16.2094 | − | 28.0756i | −0.673641 | − | 1.16678i | ||||
\(580\) | 3.65464 | 0.151751 | ||||||||
\(581\) | 3.91729 | + | 8.14084i | 0.162517 | + | 0.337739i | ||||
\(582\) | −25.2240 | −1.04557 | ||||||||
\(583\) | −6.12627 | − | 10.6110i | −0.253724 | − | 0.439463i | ||||
\(584\) | 5.34054 | − | 9.25008i | 0.220993 | − | 0.382771i | ||||
\(585\) | −9.54672 | + | 16.5354i | −0.394708 | + | 0.683655i | ||||
\(586\) | −8.28683 | − | 14.3532i | −0.342326 | − | 0.592926i | ||||
\(587\) | 40.2338 | 1.66063 | 0.830313 | − | 0.557298i | \(-0.188162\pi\) | ||||
0.830313 | + | 0.557298i | \(0.188162\pi\) | |||||||
\(588\) | 27.2840 | + | 4.12982i | 1.12517 | + | 0.170311i | ||||
\(589\) | 0.102235 | 0.00421253 | ||||||||
\(590\) | −1.88278 | − | 3.26107i | −0.0775128 | − | 0.134256i | ||||
\(591\) | −40.6287 | + | 70.3710i | −1.67124 | + | 2.89467i | ||||
\(592\) | −0.426680 | + | 0.739031i | −0.0175364 | + | 0.0303740i | ||||
\(593\) | −7.62087 | − | 13.1997i | −0.312952 | − | 0.542048i | 0.666048 | − | 0.745909i | \(-0.267984\pi\) |
−0.979000 | + | 0.203861i | \(0.934651\pi\) | |||||||
\(594\) | 82.8619 | 3.39986 | ||||||||
\(595\) | −7.22470 | − | 15.0142i | −0.296184 | − | 0.615523i | ||||
\(596\) | −4.35776 | −0.178501 | ||||||||
\(597\) | −8.19734 | − | 14.1982i | −0.335495 | − | 0.581094i | ||||
\(598\) | −5.43232 | + | 9.40906i | −0.222144 | + | 0.384765i | ||||
\(599\) | 1.35851 | − | 2.35301i | 0.0555071 | − | 0.0961412i | −0.836937 | − | 0.547300i | \(-0.815656\pi\) |
0.892444 | + | 0.451159i | \(0.148989\pi\) | |||||||
\(600\) | −19.6901 | − | 34.1042i | −0.803843 | − | 1.39230i | ||||
\(601\) | 22.9588 | 0.936511 | 0.468255 | − | 0.883593i | \(-0.344883\pi\) | ||||
0.468255 | + | 0.883593i | \(0.344883\pi\) | |||||||
\(602\) | −2.21374 | + | 3.24479i | −0.0902255 | + | 0.132248i | ||||
\(603\) | −94.5158 | −3.84898 | ||||||||
\(604\) | 8.45682 | + | 14.6476i | 0.344103 | + | 0.596004i | ||||
\(605\) | 8.82792 | − | 15.2904i | 0.358906 | − | 0.621643i | ||||
\(606\) | 9.41249 | − | 16.3029i | 0.382356 | − | 0.662260i | ||||
\(607\) | 22.1303 | + | 38.3308i | 0.898241 | + | 1.55580i | 0.829741 | + | 0.558149i | \(0.188488\pi\) |
0.0685005 | + | 0.997651i | \(0.478179\pi\) | |||||||
\(608\) | −4.75698 | −0.192921 | ||||||||
\(609\) | 28.8204 | + | 2.16884i | 1.16786 | + | 0.0878856i | ||||
\(610\) | 10.1287 | 0.410100 | ||||||||
\(611\) | 5.98142 | + | 10.3601i | 0.241982 | + | 0.419126i | ||||
\(612\) | 32.0521 | − | 55.5159i | 1.29563 | − | 2.24410i | ||||
\(613\) | −10.5460 | + | 18.2661i | −0.425947 | + | 0.737762i | −0.996508 | − | 0.0834931i | \(-0.973392\pi\) |
0.570561 | + | 0.821255i | \(0.306726\pi\) | |||||||
\(614\) | 7.61503 | + | 13.1896i | 0.307318 | + | 0.532290i | ||||
\(615\) | 3.12023 | 0.125820 | ||||||||
\(616\) | −41.4156 | − | 3.11667i | −1.66868 | − | 0.125574i | ||||
\(617\) | −22.5480 | −0.907750 | −0.453875 | − | 0.891065i | \(-0.649959\pi\) | ||||
−0.453875 | + | 0.891065i | \(0.649959\pi\) | |||||||
\(618\) | −13.1225 | − | 22.7288i | −0.527863 | − | 0.914285i | ||||
\(619\) | 16.8984 | − | 29.2689i | 0.679205 | − | 1.17642i | −0.296015 | − | 0.955183i | \(-0.595658\pi\) |
0.975221 | − | 0.221235i | \(-0.0710088\pi\) | |||||||
\(620\) | −0.0663233 | + | 0.114875i | −0.00266361 | + | 0.00461350i | ||||
\(621\) | 40.0771 | + | 69.4155i | 1.60824 | + | 2.78555i | ||||
\(622\) | −9.43424 | −0.378279 | ||||||||
\(623\) | −21.2356 | + | 31.1260i | −0.850786 | + | 1.24704i | ||||
\(624\) | −1.87651 | −0.0751203 | ||||||||
\(625\) | −6.28374 | − | 10.8838i | −0.251350 | − | 0.435350i | ||||
\(626\) | −2.82895 | + | 4.89988i | −0.113068 | + | 0.195839i | ||||
\(627\) | 7.78386 | − | 13.4820i | 0.310857 | − | 0.538421i | ||||
\(628\) | 5.36418 | + | 9.29103i | 0.214054 | + | 0.370753i | ||||
\(629\) | −25.6304 | −1.02195 | ||||||||
\(630\) | 7.82733 | + | 16.2666i | 0.311848 | + | 0.648077i | ||||
\(631\) | 34.1027 | 1.35761 | 0.678803 | − | 0.734321i | \(-0.262499\pi\) | ||||
0.678803 | + | 0.734321i | \(0.262499\pi\) | |||||||
\(632\) | 4.04339 | + | 7.00336i | 0.160838 | + | 0.278579i | ||||
\(633\) | 45.1495 | − | 78.2012i | 1.79453 | − | 3.10822i | ||||
\(634\) | −11.8112 | + | 20.4576i | −0.469082 | + | 0.812474i | ||||
\(635\) | 2.98803 | + | 5.17542i | 0.118576 | + | 0.205380i | ||||
\(636\) | 8.84572 | 0.350756 | ||||||||
\(637\) | 11.0310 | − | 13.8148i | 0.437065 | − | 0.547360i | ||||
\(638\) | −16.1890 | −0.640929 | ||||||||
\(639\) | −39.4154 | − | 68.2695i | −1.55925 | − | 2.70070i | ||||
\(640\) | 2.89678 | − | 5.01736i | 0.114505 | − | 0.198329i | ||||
\(641\) | −5.54119 | + | 9.59763i | −0.218864 | + | 0.379084i | −0.954461 | − | 0.298336i | \(-0.903568\pi\) |
0.735597 | + | 0.677419i | \(0.236902\pi\) | |||||||
\(642\) | 15.7891 | + | 27.3475i | 0.623146 | + | 1.07932i | ||||
\(643\) | 33.9767 | 1.33991 | 0.669954 | − | 0.742402i | \(-0.266314\pi\) | ||||
0.669954 | + | 0.742402i | \(0.266314\pi\) | |||||||
\(644\) | −6.48312 | − | 13.4731i | −0.255471 | − | 0.530914i | ||||
\(645\) | 5.13302 | 0.202113 | ||||||||
\(646\) | 2.59659 | + | 4.49743i | 0.102161 | + | 0.176949i | ||||
\(647\) | −3.94631 | + | 6.83520i | −0.155145 | + | 0.268720i | −0.933112 | − | 0.359586i | \(-0.882918\pi\) |
0.777967 | + | 0.628306i | \(0.216251\pi\) | |||||||
\(648\) | −45.6276 | + | 79.0293i | −1.79242 | + | 3.10456i | ||||
\(649\) | −12.1399 | − | 21.0268i | −0.476531 | − | 0.825376i | ||||
\(650\) | −9.38918 | −0.368274 | ||||||||
\(651\) | −0.591196 | + | 0.866544i | −0.0231708 | + | 0.0339625i | ||||
\(652\) | 10.5425 | 0.412876 | ||||||||
\(653\) | −17.1684 | − | 29.7366i | −0.671852 | − | 1.16368i | −0.977378 | − | 0.211499i | \(-0.932166\pi\) |
0.305526 | − | 0.952184i | \(-0.401168\pi\) | |||||||
\(654\) | 4.87426 | − | 8.44247i | 0.190599 | − | 0.330127i | ||||
\(655\) | 3.05299 | − | 5.28793i | 0.119290 | − | 0.206616i | ||||
\(656\) | 0.111726 | + | 0.193516i | 0.00436218 | + | 0.00755552i | ||||
\(657\) | −29.9337 | −1.16783 | ||||||||
\(658\) | 11.2784 | + | 0.848737i | 0.439676 | + | 0.0330872i | ||||
\(659\) | −23.9977 | −0.934819 | −0.467409 | − | 0.884041i | \(-0.654813\pi\) | ||||
−0.467409 | + | 0.884041i | \(0.654813\pi\) | |||||||
\(660\) | 10.0993 | + | 17.4925i | 0.393114 | + | 0.680894i | ||||
\(661\) | 4.77778 | − | 8.27535i | 0.185834 | − | 0.321874i | −0.758023 | − | 0.652228i | \(-0.773835\pi\) |
0.943857 | + | 0.330354i | \(0.107168\pi\) | |||||||
\(662\) | 3.31729 | − | 5.74571i | 0.128930 | − | 0.223313i | ||||
\(663\) | −28.1801 | − | 48.8094i | −1.09442 | − | 1.89560i | ||||
\(664\) | 9.81667 | 0.380961 | ||||||||
\(665\) | 2.12266 | + | 0.159738i | 0.0823133 | + | 0.00619436i | ||||
\(666\) | 27.7683 | 1.07600 | ||||||||
\(667\) | −7.82999 | − | 13.5619i | −0.303178 | − | 0.525120i | ||||
\(668\) | 4.42380 | − | 7.66224i | 0.171162 | − | 0.296461i | ||||
\(669\) | −14.5350 | + | 25.1754i | −0.561955 | + | 0.973335i | ||||
\(670\) | 4.96725 | + | 8.60354i | 0.191902 | + | 0.332384i | ||||
\(671\) | 65.3085 | 2.52120 | ||||||||
\(672\) | 27.5082 | − | 40.3201i | 1.06115 | − | 1.55538i | ||||
\(673\) | 3.20764 | 0.123645 | 0.0618227 | − | 0.998087i | \(-0.480309\pi\) | ||||
0.0618227 | + | 0.998087i | \(0.480309\pi\) | |||||||
\(674\) | −0.713299 | − | 1.23547i | −0.0274753 | − | 0.0475885i | ||||
\(675\) | −34.6344 | + | 59.9886i | −1.33308 | + | 2.30896i | ||||
\(676\) | −3.92519 | + | 6.79863i | −0.150969 | + | 0.261486i | ||||
\(677\) | −0.812181 | − | 1.40674i | −0.0312147 | − | 0.0540654i | 0.849996 | − | 0.526789i | \(-0.176604\pi\) |
−0.881211 | + | 0.472724i | \(0.843271\pi\) | |||||||
\(678\) | 12.6186 | 0.484615 | ||||||||
\(679\) | −9.64279 | − | 20.0394i | −0.370056 | − | 0.769043i | ||||
\(680\) | −18.1050 | −0.694294 | ||||||||
\(681\) | 24.4232 | + | 42.3023i | 0.935900 | + | 1.62103i | ||||
\(682\) | 0.293793 | − | 0.508865i | 0.0112499 | − | 0.0194854i | ||||
\(683\) | −18.8633 | + | 32.6723i | −0.721786 | + | 1.25017i | 0.238498 | + | 0.971143i | \(0.423345\pi\) |
−0.960283 | + | 0.279026i | \(0.909988\pi\) | |||||||
\(684\) | 4.09483 | + | 7.09245i | 0.156570 | + | 0.271187i | ||||
\(685\) | −12.4459 | −0.475535 | ||||||||
\(686\) | −4.91162 | − | 15.9762i | −0.187527 | − | 0.609974i | ||||
\(687\) | 17.6372 | 0.672900 | ||||||||
\(688\) | 0.183799 | + | 0.318349i | 0.00700727 | + | 0.0121369i | ||||
\(689\) | 2.83350 | − | 4.90776i | 0.107948 | − | 0.186971i | ||||
\(690\) | 6.71156 | − | 11.6248i | 0.255505 | − | 0.442547i | ||||
\(691\) | −19.4756 | − | 33.7327i | −0.740886 | − | 1.28325i | −0.952092 | − | 0.305811i | \(-0.901073\pi\) |
0.211206 | − | 0.977442i | \(-0.432261\pi\) | |||||||
\(692\) | 17.8075 | 0.676940 | ||||||||
\(693\) | 50.4694 | + | 104.884i | 1.91717 | + | 3.98423i | ||||
\(694\) | −19.7493 | −0.749674 | ||||||||
\(695\) | 2.42937 | + | 4.20780i | 0.0921514 | + | 0.159611i | ||||
\(696\) | 15.7024 | − | 27.1973i | 0.595198 | − | 1.03091i | ||||
\(697\) | −3.35567 | + | 5.81218i | −0.127105 | + | 0.220152i | ||||
\(698\) | 2.39713 | + | 4.15194i | 0.0907325 | + | 0.157153i | ||||
\(699\) | 14.7161 | 0.556613 | ||||||||
\(700\) | 7.28212 | − | 10.6738i | 0.275238 | − | 0.403430i | ||||
\(701\) | −8.29770 | −0.313400 | −0.156700 | − | 0.987646i | \(-0.550086\pi\) | ||||
−0.156700 | + | 0.987646i | \(0.550086\pi\) | |||||||
\(702\) | 19.1625 | + | 33.1904i | 0.723241 | + | 1.25269i | ||||
\(703\) | 1.63721 | − | 2.83573i | 0.0617485 | − | 0.106951i | ||||
\(704\) | −14.8903 | + | 25.7907i | −0.561198 | + | 0.972023i | ||||
\(705\) | −7.38996 | − | 12.7998i | −0.278322 | − | 0.482068i | ||||
\(706\) | −23.0389 | −0.867081 | ||||||||
\(707\) | 16.5502 | + | 1.24546i | 0.622436 | + | 0.0468405i | ||||
\(708\) | 17.5287 | 0.658770 | ||||||||
\(709\) | −10.9637 | − | 18.9897i | −0.411751 | − | 0.713174i | 0.583330 | − | 0.812235i | \(-0.301749\pi\) |
−0.995081 | + | 0.0990614i | \(0.968416\pi\) | |||||||
\(710\) | −4.14294 | + | 7.17578i | −0.155482 | + | 0.269302i | ||||
\(711\) | 11.3316 | − | 19.6270i | 0.424969 | − | 0.736068i | ||||
\(712\) | 20.4715 | + | 35.4577i | 0.767203 | + | 1.32884i | ||||
\(713\) | 0.568385 | 0.0212862 | ||||||||
\(714\) | −53.1354 | − | 3.99863i | −1.98854 | − | 0.149645i | ||||
\(715\) | 12.9402 | 0.483935 | ||||||||
\(716\) | −10.6220 | − | 18.3978i | −0.396962 | − | 0.687557i | ||||
\(717\) | −1.14026 | + | 1.97500i | −0.0425840 | + | 0.0737576i | ||||
\(718\) | 9.12760 | − | 15.8095i | 0.340639 | − | 0.590004i | ||||
\(719\) | 6.07991 | + | 10.5307i | 0.226742 | + | 0.392729i | 0.956841 | − | 0.290613i | \(-0.0938591\pi\) |
−0.730098 | + | 0.683342i | \(0.760526\pi\) | |||||||
\(720\) | 1.68936 | 0.0629586 | ||||||||
\(721\) | 13.0405 | − | 19.1141i | 0.485655 | − | 0.711847i | ||||
\(722\) | 16.4836 | 0.613458 | ||||||||
\(723\) | 14.7436 | + | 25.5367i | 0.548322 | + | 0.949721i | ||||
\(724\) | −14.7941 | + | 25.6241i | −0.549818 | + | 0.952313i | ||||
\(725\) | 6.76664 | − | 11.7202i | 0.251307 | − | 0.435276i | ||||
\(726\) | −28.2320 | − | 48.8992i | −1.04779 | − | 1.81482i | ||||
\(727\) | 5.65386 | 0.209690 | 0.104845 | − | 0.994489i | \(-0.466565\pi\) | ||||
0.104845 | + | 0.994489i | \(0.466565\pi\) | |||||||
\(728\) | −8.32929 | − | 17.3098i | −0.308704 | − | 0.641543i | ||||
\(729\) | 88.0044 | 3.25942 | ||||||||
\(730\) | 1.57316 | + | 2.72480i | 0.0582253 | + | 0.100849i | ||||
\(731\) | −5.52034 | + | 9.56151i | −0.204177 | + | 0.353645i | ||||
\(732\) | −23.5747 | + | 40.8326i | −0.871346 | + | 1.50922i | ||||
\(733\) | 12.1627 | + | 21.0663i | 0.449238 | + | 0.778103i | 0.998337 | − | 0.0576548i | \(-0.0183623\pi\) |
−0.549099 | + | 0.835757i | \(0.685029\pi\) | |||||||
\(734\) | 29.4582 | 1.08732 | ||||||||
\(735\) | −13.6287 | + | 17.0679i | −0.502701 | + | 0.629560i | ||||
\(736\) | −26.4468 | −0.974843 | ||||||||
\(737\) | 32.0281 | + | 55.4742i | 1.17977 | + | 2.04342i | ||||
\(738\) | 3.63557 | − | 6.29699i | 0.133827 | − | 0.231795i | ||||
\(739\) | 19.3662 | − | 33.5433i | 0.712398 | − | 1.23391i | −0.251556 | − | 0.967843i | \(-0.580942\pi\) |
0.963955 | − | 0.266067i | \(-0.0857242\pi\) | |||||||
\(740\) | 2.12422 | + | 3.67926i | 0.0780879 | + | 0.135252i | ||||
\(741\) | 7.20032 | 0.264510 | ||||||||
\(742\) | −2.32318 | − | 4.82798i | −0.0852865 | − | 0.177241i | ||||
\(743\) | −5.26170 | −0.193033 | −0.0965165 | − | 0.995331i | \(-0.530770\pi\) | ||||
−0.0965165 | + | 0.995331i | \(0.530770\pi\) | |||||||
\(744\) | 0.569925 | + | 0.987138i | 0.0208945 | + | 0.0361903i | ||||
\(745\) | 1.72461 | − | 2.98711i | 0.0631847 | − | 0.109439i | ||||
\(746\) | −3.99168 | + | 6.91379i | −0.146146 | + | 0.253132i | ||||
\(747\) | −13.7556 | − | 23.8254i | −0.503292 | − | 0.871727i | ||||
\(748\) | −43.4454 | −1.58852 | ||||||||
\(749\) | −15.6905 | + | 22.9983i | −0.573319 | + | 0.840341i | ||||
\(750\) | 25.6799 | 0.937697 | ||||||||
\(751\) | −26.1615 | − | 45.3130i | −0.954646 | − | 1.65350i | −0.735176 | − | 0.677876i | \(-0.762901\pi\) |
−0.219470 | − | 0.975619i | \(-0.570433\pi\) | |||||||
\(752\) | 0.529227 | − | 0.916648i | 0.0192989 | − | 0.0334267i | ||||
\(753\) | 5.70171 | − | 9.87566i | 0.207782 | − | 0.359889i | ||||
\(754\) | −3.74383 | − | 6.48451i | −0.136342 | − | 0.236152i | ||||
\(755\) | −13.3873 | −0.487215 | ||||||||
\(756\) | −52.5935 | − | 3.95784i | −1.91281 | − | 0.143945i | ||||
\(757\) | 21.9399 | 0.797421 | 0.398710 | − | 0.917077i | \(-0.369458\pi\) | ||||
0.398710 | + | 0.917077i | \(0.369458\pi\) | |||||||
\(758\) | 4.76352 | + | 8.25066i | 0.173019 | + | 0.299677i | ||||
\(759\) | 43.2750 | − | 74.9546i | 1.57078 | − | 2.72068i | ||||
\(760\) | 1.15650 | − | 2.00312i | 0.0419508 | − | 0.0726609i | ||||
\(761\) | 4.90915 | + | 8.50290i | 0.177957 | + | 0.308230i | 0.941181 | − | 0.337904i | \(-0.109718\pi\) |
−0.763224 | + | 0.646134i | \(0.776385\pi\) | |||||||
\(762\) | 19.1116 | 0.692341 | ||||||||
\(763\) | 8.57055 | + | 0.644964i | 0.310275 | + | 0.0233493i | ||||
\(764\) | −19.3258 | −0.699182 | ||||||||
\(765\) | 25.3696 | + | 43.9415i | 0.917241 | + | 1.58871i | ||||
\(766\) | 11.2153 | − | 19.4254i | 0.405224 | − | 0.701868i | ||||
\(767\) | 5.61487 | − | 9.72525i | 0.202741 | − | 0.351158i | ||||
\(768\) | −27.3993 | − | 47.4570i | −0.988688 | − | 1.71246i | ||||
\(769\) | 3.37717 | 0.121784 | 0.0608920 | − | 0.998144i | \(-0.480605\pi\) | ||||
0.0608920 | + | 0.998144i | \(0.480605\pi\) | |||||||
\(770\) | 6.89497 | − | 10.1063i | 0.248477 | − | 0.364205i | ||||
\(771\) | −50.6440 | −1.82390 | ||||||||
\(772\) | −5.77917 | − | 10.0098i | −0.207997 | − | 0.360261i | ||||
\(773\) | 19.1751 | − | 33.2123i | 0.689681 | − | 1.19456i | −0.282261 | − | 0.959338i | \(-0.591084\pi\) |
0.971941 | − | 0.235224i | \(-0.0755824\pi\) | |||||||
\(774\) | 5.98081 | − | 10.3591i | 0.214976 | − | 0.372349i | ||||
\(775\) | 0.245598 | + | 0.425388i | 0.00882214 | + | 0.0152804i | ||||
\(776\) | −24.1647 | −0.867461 | ||||||||
\(777\) | 14.5681 | + | 30.2751i | 0.522628 | + | 1.08611i | ||||
\(778\) | −6.53617 | −0.234333 | ||||||||
\(779\) | −0.428704 | − | 0.742537i | −0.0153599 | − | 0.0266042i | ||||
\(780\) | −4.67108 | + | 8.09055i | −0.167252 | + | 0.289688i | ||||
\(781\) | −26.7130 | + | 46.2683i | −0.955866 | + | 1.65561i | ||||
\(782\) | 14.4360 | + | 25.0038i | 0.516229 | + | 0.894135i | ||||
\(783\) | −55.2404 | −1.97413 | ||||||||
\(784\) | −1.54655 | − | 0.234093i | −0.0552340 | − | 0.00836046i | ||||
\(785\) | −8.49162 | −0.303079 | ||||||||
\(786\) | −9.76354 | − | 16.9110i | −0.348254 | − | 0.603194i | ||||
\(787\) | 8.63054 | − | 14.9485i | 0.307645 | − | 0.532858i | −0.670201 | − | 0.742179i | \(-0.733792\pi\) |
0.977847 | + | 0.209322i | \(0.0671256\pi\) | |||||||
\(788\) | −14.4854 | + | 25.0894i | −0.516021 | + | 0.893774i | ||||
\(789\) | −20.4068 | − | 35.3456i | −0.726500 | − | 1.25834i | ||||
\(790\) | −2.38213 | −0.0847522 | ||||||||
\(791\) | 4.82391 | + | 10.0250i | 0.171519 | + | 0.356446i | ||||
\(792\) | 126.475 | 4.49411 | ||||||||
\(793\) | 15.1031 | + | 26.1593i | 0.536327 | + | 0.928945i | ||||
\(794\) | −15.6589 | + | 27.1220i | −0.555713 | + | 0.962522i | ||||
\(795\) | −3.50075 | + | 6.06347i | −0.124159 | + | 0.215049i | ||||
\(796\) | −2.92261 | − | 5.06210i | −0.103589 | − | 0.179422i | ||||
\(797\) | 19.8669 | 0.703722 | 0.351861 | − | 0.936052i | \(-0.385549\pi\) | ||||
0.351861 | + | 0.936052i | \(0.385549\pi\) | |||||||
\(798\) | 3.83657 | − | 5.62345i | 0.135813 | − | 0.199068i | ||||
\(799\) | 31.7903 | 1.12466 | ||||||||
\(800\) | −11.4276 | − | 19.7932i | −0.404027 | − | 0.699796i | ||||
\(801\) | 57.3716 | − | 99.3705i | 2.02712 | − | 3.51108i | ||||
\(802\) | 8.46752 | − | 14.6662i | 0.298999 | − | 0.517881i | ||||
\(803\) | 10.1435 | + | 17.5690i | 0.357956 | + | 0.619998i | ||||
\(804\) | −46.2453 | −1.63095 | ||||||||
\(805\) | 11.8011 | + | 0.888076i | 0.415935 | + | 0.0313006i | ||||
\(806\) | 0.271768 | 0.00957262 | ||||||||
\(807\) | 21.3310 | + | 36.9464i | 0.750888 | + | 1.30058i | ||||
\(808\) | 9.01718 | − | 15.6182i | 0.317223 | − | 0.549447i | ||||
\(809\) | 15.4400 | − | 26.7429i | 0.542842 | − | 0.940230i | −0.455897 | − | 0.890032i | \(-0.650682\pi\) |
0.998739 | − | 0.0501976i | \(-0.0159851\pi\) | |||||||
\(810\) | −13.4405 | − | 23.2797i | −0.472251 | − | 0.817964i | ||||
\(811\) | 22.6923 | 0.796834 | 0.398417 | − | 0.917204i | \(-0.369560\pi\) | ||||
0.398417 | + | 0.917204i | \(0.369560\pi\) | |||||||
\(812\) | 10.2754 | + | 0.773257i | 0.360594 | + | 0.0271360i | ||||
\(813\) | −59.7594 | −2.09586 | ||||||||
\(814\) | −9.40969 | − | 16.2981i | −0.329809 | − | 0.571247i | ||||
\(815\) | −4.17226 | + | 7.22656i | −0.146148 | + | 0.253135i | ||||
\(816\) | −2.49333 | + | 4.31858i | −0.0872841 | + | 0.151180i | ||||
\(817\) | −0.705253 | − | 1.22153i | −0.0246737 | − | 0.0427361i | ||||
\(818\) | −26.7563 | −0.935512 | ||||||||
\(819\) | −30.3401 | + | 44.4709i | −1.06017 | + | 1.55394i | ||||
\(820\) | 1.11246 | 0.0388487 | ||||||||
\(821\) | −15.1960 | − | 26.3203i | −0.530345 | − | 0.918585i | −0.999373 | − | 0.0354016i | \(-0.988729\pi\) |
0.469028 | − | 0.883183i | \(-0.344604\pi\) | |||||||
\(822\) | −19.9013 | + | 34.4700i | −0.694136 | + | 1.20228i | ||||
\(823\) | 25.5427 | − | 44.2413i | 0.890364 | − | 1.54216i | 0.0509246 | − | 0.998703i | \(-0.483783\pi\) |
0.839439 | − | 0.543453i | \(-0.182883\pi\) | |||||||
\(824\) | −12.5713 | − | 21.7742i | −0.437943 | − | 0.758540i | ||||
\(825\) | 74.7962 | 2.60407 | ||||||||
\(826\) | −4.60362 | − | 9.56716i | −0.160181 | − | 0.332884i | ||||
\(827\) | −53.5924 | −1.86359 | −0.931794 | − | 0.362987i | \(-0.881757\pi\) | ||||
−0.931794 | + | 0.362987i | \(0.881757\pi\) | |||||||
\(828\) | 22.7656 | + | 39.4311i | 0.791158 | + | 1.37033i | ||||
\(829\) | 2.19046 | − | 3.79400i | 0.0760780 | − | 0.131771i | −0.825477 | − | 0.564436i | \(-0.809094\pi\) |
0.901555 | + | 0.432665i | \(0.142427\pi\) | |||||||
\(830\) | −1.44585 | + | 2.50428i | −0.0501861 | + | 0.0869249i | ||||
\(831\) | −1.38783 | − | 2.40378i | −0.0481431 | − | 0.0833864i | ||||
\(832\) | −13.7740 | −0.477526 | ||||||||
\(833\) | −17.1362 | − | 43.7425i | −0.593733 | − | 1.51559i | ||||
\(834\) | 15.5384 | 0.538051 | ||||||||
\(835\) | 3.50149 | + | 6.06475i | 0.121174 | + | 0.209879i | ||||
\(836\) | 2.77519 | − | 4.80677i | 0.0959819 | − | 0.166245i | ||||
\(837\) | 1.00249 | − | 1.73636i | 0.0346510 | − | 0.0600173i | ||||
\(838\) | −3.89114 | − | 6.73966i | −0.134417 | − | 0.232818i | ||||
\(839\) | −5.15856 | −0.178093 | −0.0890466 | − | 0.996027i | \(-0.528382\pi\) | ||||
−0.0890466 | + | 0.996027i | \(0.528382\pi\) | |||||||
\(840\) | 10.2907 | + | 21.3860i | 0.355064 | + | 0.737886i | ||||
\(841\) | −18.2075 | −0.627845 | ||||||||
\(842\) | 5.26140 | + | 9.11301i | 0.181320 | + | 0.314055i | ||||
\(843\) | 9.92073 | − | 17.1832i | 0.341688 | − | 0.591821i | ||||
\(844\) | 16.0972 | − | 27.8812i | 0.554088 | − | 0.959709i | ||||
\(845\) | −3.10683 | − | 5.38119i | −0.106878 | − | 0.185119i | ||||
\(846\) | −34.4420 | −1.18414 | ||||||||
\(847\) | 28.0557 | − | 41.1226i | 0.964005 | − | 1.41299i | ||||
\(848\) | −0.501407 | −0.0172184 | ||||||||
\(849\) | 30.6179 | + | 53.0318i | 1.05080 | + | 1.82005i | ||||
\(850\) | −12.4755 | + | 21.6082i | −0.427906 | + | 0.741155i | ||||
\(851\) | 9.10220 | − | 15.7655i | 0.312019 | − | 0.540433i | ||||
\(852\) | −19.2854 | − | 33.4034i | −0.660708 | − | 1.14438i | ||||
\(853\) | 16.7568 | 0.573744 | 0.286872 | − | 0.957969i | \(-0.407385\pi\) | ||||
0.286872 | + | 0.957969i | \(0.407385\pi\) | |||||||
\(854\) | 28.4779 | + | 2.14306i | 0.974493 | + | 0.0733340i | ||||
\(855\) | −6.48221 | −0.221687 | ||||||||
\(856\) | 15.1260 | + | 26.1990i | 0.516995 | + | 0.895462i | ||||
\(857\) | 16.1055 | − | 27.8955i | 0.550152 | − | 0.952891i | −0.448111 | − | 0.893978i | \(-0.647903\pi\) |
0.998263 | − | 0.0589134i | \(-0.0187636\pi\) | |||||||
\(858\) | 20.6915 | − | 35.8388i | 0.706398 | − | 1.22352i | ||||
\(859\) | 12.5182 | + | 21.6822i | 0.427117 | + | 0.739788i | 0.996616 | − | 0.0822040i | \(-0.0261959\pi\) |
−0.569498 | + | 0.821992i | \(0.692863\pi\) | |||||||
\(860\) | 1.83008 | 0.0624053 | ||||||||
\(861\) | 8.77281 | + | 0.660185i | 0.298976 | + | 0.0224990i | ||||
\(862\) | 25.7398 | 0.876702 | ||||||||
\(863\) | −2.62143 | − | 4.54045i | −0.0892346 | − | 0.154559i | 0.817953 | − | 0.575285i | \(-0.195109\pi\) |
−0.907188 | + | 0.420726i | \(0.861775\pi\) | |||||||
\(864\) | −46.6455 | + | 80.7923i | −1.58691 | + | 2.74861i | ||||
\(865\) | −7.04742 | + | 12.2065i | −0.239620 | + | 0.415033i | ||||
\(866\) | −2.76642 | − | 4.79158i | −0.0940067 | − | 0.162824i | ||||
\(867\) | −93.2447 | −3.16676 | ||||||||
\(868\) | −0.210780 | + | 0.308950i | −0.00715433 | + | 0.0104864i | ||||
\(869\) | −15.3596 | −0.521037 | ||||||||
\(870\) | 4.62545 | + | 8.01152i | 0.156818 | + | 0.271616i | ||||
\(871\) | −14.8135 | + | 25.6577i | −0.501936 | + | 0.869378i | ||||
\(872\) | 4.66955 | − | 8.08790i | 0.158131 | − | 0.273891i | ||||
\(873\) | 33.8608 | + | 58.6486i | 1.14601 | + | 1.98495i | ||||
\(874\) | −3.68854 | −0.124767 | ||||||||
\(875\) | 9.81705 | + | 20.4016i | 0.331877 | + | 0.689700i | ||||
\(876\) | −14.6462 | −0.494849 | ||||||||
\(877\) | −24.8866 | − | 43.1048i | −0.840361 | − | 1.45555i | −0.889590 | − | 0.456760i | \(-0.849010\pi\) |
0.0492296 | − | 0.998787i | \(-0.484323\pi\) | |||||||
\(878\) | 10.5265 | − | 18.2325i | 0.355253 | − | 0.615316i | ||||
\(879\) | −30.5328 | + | 52.8844i | −1.02985 | + | 1.78375i | ||||
\(880\) | −0.572464 | − | 0.991536i | −0.0192977 | − | 0.0334247i | ||||
\(881\) | 4.99315 | 0.168223 | 0.0841117 | − | 0.996456i | \(-0.473195\pi\) | ||||
0.0841117 | + | 0.996456i | \(0.473195\pi\) | |||||||
\(882\) | 18.5655 | + | 47.3912i | 0.625134 | + | 1.59574i | ||||
\(883\) | −44.6535 | −1.50271 | −0.751354 | − | 0.659899i | \(-0.770599\pi\) | ||||
−0.751354 | + | 0.659899i | \(0.770599\pi\) | |||||||
\(884\) | −10.0471 | − | 17.4021i | −0.337920 | − | 0.585295i | ||||
\(885\) | −6.93710 | + | 12.0154i | −0.233188 | + | 0.403893i | ||||
\(886\) | −10.0304 | + | 17.3731i | −0.336977 | + | 0.583661i | ||||
\(887\) | −18.2060 | − | 31.5337i | −0.611297 | − | 1.05880i | −0.991022 | − | 0.133698i | \(-0.957315\pi\) |
0.379725 | − | 0.925099i | \(-0.376019\pi\) | |||||||
\(888\) | 36.5074 | 1.22511 | ||||||||
\(889\) | 7.30610 | + | 15.1834i | 0.245039 | + | 0.509235i | ||||
\(890\) | −12.0606 | −0.404272 | ||||||||
\(891\) | −86.6623 | − | 150.103i | −2.90330 | − | 5.02866i | ||||
\(892\) | −5.18218 | + | 8.97579i | −0.173512 | + | 0.300532i | ||||
\(893\) | −2.03069 | + | 3.51726i | −0.0679545 | + | 0.117701i | ||||
\(894\) | −5.51535 | − | 9.55286i | −0.184461 | − | 0.319495i | ||||
\(895\) | 16.8148 | 0.562057 | ||||||||
\(896\) | 9.20614 | − | 13.4939i | 0.307555 | − | 0.450799i | ||||
\(897\) | 40.0308 | 1.33659 | ||||||||
\(898\) | −5.24096 | − | 9.07761i | −0.174893 | − | 0.302924i | ||||
\(899\) | −0.195859 | + | 0.339238i | −0.00653227 | + | 0.0113142i | ||||
\(900\) | −19.6739 | + | 34.0762i | −0.655797 | + | 1.13587i | ||||
\(901\) | −7.52980 | − | 13.0420i | −0.250854 | − | 0.434492i | ||||
\(902\) | −4.92787 | −0.164080 | ||||||||
\(903\) | 14.4320 | + | 1.08606i | 0.480266 | + | 0.0361417i | ||||
\(904\) | 12.0886 | 0.402062 | ||||||||
\(905\) | −11.7097 | − | 20.2818i | −0.389244 | − | 0.674190i | ||||
\(906\) | −21.4066 | + | 37.0773i | −0.711186 | + | 1.23181i | ||||
\(907\) | 1.10496 | − | 1.91385i | 0.0366896 | − | 0.0635482i | −0.847098 | − | 0.531437i | \(-0.821652\pi\) |
0.883787 | + | 0.467889i | \(0.154985\pi\) | |||||||
\(908\) | 8.70764 | + | 15.0821i | 0.288973 | + | 0.500516i | ||||
\(909\) | −50.5413 | −1.67635 | ||||||||
\(910\) | 5.64259 | + | 0.424625i | 0.187050 | + | 0.0140762i | ||||
\(911\) | 46.7251 | 1.54807 | 0.774035 | − | 0.633142i | \(-0.218235\pi\) | ||||
0.774035 | + | 0.633142i | \(0.218235\pi\) | |||||||
\(912\) | −0.318536 | − | 0.551721i | −0.0105478 | − | 0.0182693i | ||||
\(913\) | −9.32259 | + | 16.1472i | −0.308533 | + | 0.534394i | ||||
\(914\) | −1.54501 | + | 2.67604i | −0.0511045 | + | 0.0885155i | ||||
\(915\) | −18.6597 | − | 32.3195i | −0.616869 | − | 1.06845i | ||||
\(916\) | 6.28820 | 0.207768 | ||||||||
\(917\) | 9.70259 | − | 14.2215i | 0.320408 | − | 0.469637i | ||||
\(918\) | 101.845 | 3.36140 | ||||||||
\(919\) | −12.4561 | − | 21.5747i | −0.410890 | − | 0.711682i | 0.584097 | − | 0.811684i | \(-0.301449\pi\) |
−0.994987 | + | 0.100001i | \(0.968115\pi\) | |||||||
\(920\) | 6.42968 | − | 11.1365i | 0.211980 | − | 0.367161i | ||||
\(921\) | 28.0576 | − | 48.5972i | 0.924529 | − | 1.60133i | ||||
\(922\) | 4.13080 | + | 7.15476i | 0.136041 | + | 0.235630i | ||||
\(923\) | −24.7104 | −0.813352 | ||||||||
\(924\) | 24.6940 | + | 51.3186i | 0.812373 | + | 1.68826i | ||||
\(925\) | 15.7322 | 0.517270 | ||||||||
\(926\) | 1.87193 | + | 3.24227i | 0.0615153 | + | 0.106548i | ||||
\(927\) | −35.2312 | + | 61.0222i | −1.15714 | + | 2.00423i | ||||
\(928\) | 9.11328 | − | 15.7847i | 0.299158 | − | 0.518157i | ||||
\(929\) | 0.553073 | + | 0.957951i | 0.0181458 | + | 0.0314294i | 0.874956 | − | 0.484203i | \(-0.160890\pi\) |
−0.856810 | + | 0.515632i | \(0.827557\pi\) | |||||||
\(930\) | −0.335765 | −0.0110102 | ||||||||
\(931\) | 5.93426 | + | 0.898235i | 0.194488 | + | 0.0294385i | ||||
\(932\) | 5.24673 | 0.171862 | ||||||||
\(933\) | 17.3802 | + | 30.1034i | 0.569003 | + | 0.985543i | ||||
\(934\) | −1.51149 | + | 2.61798i | −0.0494575 | + | 0.0856629i | ||||
\(935\) | 17.1938 | − | 29.7805i | 0.562296 | − | 0.973925i | ||||
\(936\) | 29.2484 | + | 50.6598i | 0.956015 | + | 1.65587i | ||||
\(937\) | −4.28847 | −0.140098 | −0.0700491 | − | 0.997544i | \(-0.522316\pi\) | ||||
−0.0700491 | + | 0.997544i | \(0.522316\pi\) | |||||||
\(938\) | 12.1455 | + | 25.2406i | 0.396566 | + | 0.824136i | ||||
\(939\) | 20.8465 | 0.680301 | ||||||||
\(940\) | −2.63475 | − | 4.56352i | −0.0859361 | − | 0.148846i | ||||
\(941\) | 10.4732 | − | 18.1402i | 0.341418 | − | 0.591353i | −0.643278 | − | 0.765632i | \(-0.722426\pi\) |
0.984696 | + | 0.174279i | \(0.0557595\pi\) | |||||||
\(942\) | −13.5782 | + | 23.5182i | −0.442403 | + | 0.766264i | ||||
\(943\) | −2.38342 | − | 4.12820i | −0.0776147 | − | 0.134433i | ||||
\(944\) | −0.993591 | −0.0323386 | ||||||||
\(945\) | 23.5271 | − | 34.4849i | 0.765338 | − | 1.12179i | ||||
\(946\) | −8.10674 | −0.263573 | ||||||||
\(947\) | −3.75616 | − | 6.50585i | −0.122059 | − | 0.211412i | 0.798521 | − | 0.601967i | \(-0.205616\pi\) |
−0.920579 | + | 0.390556i | \(0.872283\pi\) | |||||||
\(948\) | 5.54442 | − | 9.60321i | 0.180074 | − | 0.311898i | ||||
\(949\) | −4.69152 | + | 8.12596i | −0.152293 | + | 0.263780i | ||||
\(950\) | −1.59381 | − | 2.76056i | −0.0517101 | − | 0.0895645i | ||||
\(951\) | 87.0366 | 2.82236 | ||||||||
\(952\) | −50.9038 | − | 3.83069i | −1.64980 | − | 0.124153i | ||||
\(953\) | −30.4377 | −0.985974 | −0.492987 | − | 0.870037i | \(-0.664095\pi\) | ||||
−0.492987 | + | 0.870037i | \(0.664095\pi\) | |||||||
\(954\) | 8.15787 | + | 14.1299i | 0.264121 | + | 0.457471i | ||||
\(955\) | 7.64828 | − | 13.2472i | 0.247493 | − | 0.428670i | ||||
\(956\) | −0.406540 | + | 0.704147i | −0.0131484 | + | 0.0227737i | ||||
\(957\) | 29.8242 | + | 51.6570i | 0.964079 | + | 1.66983i | ||||
\(958\) | 1.84033 | 0.0594585 | ||||||||
\(959\) | −34.9929 | − | 2.63334i | −1.12998 | − | 0.0850350i | ||||
\(960\) | 17.0175 | 0.549238 | ||||||||
\(961\) | 15.4929 | + | 26.8345i | 0.499771 | + | 0.865628i | ||||
\(962\) | 4.35213 | − | 7.53811i | 0.140318 | − | 0.243038i | ||||
\(963\) | 42.3906 | − | 73.4227i | 1.36602 | − | 2.36601i | ||||
\(964\) | 5.25656 | + | 9.10463i | 0.169302 | + | 0.293240i | ||||
\(965\) | 9.14856 | 0.294503 | ||||||||
\(966\) | 21.3298 | − | 31.2640i | 0.686274 | − | 1.00590i | ||||
\(967\) | 43.8093 | 1.40881 | 0.704405 | − | 0.709798i | \(-0.251214\pi\) | ||||
0.704405 | + | 0.709798i | \(0.251214\pi\) | |||||||
\(968\) | −27.0463 | − | 46.8455i | −0.869300 | − | 1.50567i | ||||
\(969\) | 9.56714 | − | 16.5708i | 0.307341 | − | 0.532330i | ||||
\(970\) | 3.55909 | − | 6.16453i | 0.114276 | − | 0.197931i | ||||
\(971\) | −3.58123 | − | 6.20287i | −0.114927 | − | 0.199060i | 0.802823 | − | 0.596217i | \(-0.203330\pi\) |
−0.917751 | + | 0.397157i | \(0.869997\pi\) | |||||||
\(972\) | 65.3276 | 2.09538 | ||||||||
\(973\) | 5.94011 | + | 12.3446i | 0.190431 | + | 0.395751i | ||||
\(974\) | −24.2951 | −0.778467 | ||||||||
\(975\) | 17.2972 | + | 29.9597i | 0.553954 | + | 0.959477i | ||||
\(976\) | 1.33630 | − | 2.31454i | 0.0427739 | − | 0.0740865i | ||||
\(977\) | −21.0133 | + | 36.3961i | −0.672276 | + | 1.16442i | 0.304982 | + | 0.952358i | \(0.401350\pi\) |
−0.977257 | + | 0.212057i | \(0.931984\pi\) | |||||||
\(978\) | 13.3430 | + | 23.1108i | 0.426662 | + | 0.739001i | ||||
\(979\) | −77.7648 | −2.48537 | ||||||||
\(980\) | −4.85904 | + | 6.08525i | −0.155216 | + | 0.194386i | ||||
\(981\) | −26.1729 | −0.835635 | ||||||||
\(982\) | −13.1428 | − | 22.7640i | −0.419403 | − | 0.726428i | ||||
\(983\) | −6.60637 | + | 11.4426i | −0.210710 | + | 0.364961i | −0.951937 | − | 0.306294i | \(-0.900911\pi\) |
0.741227 | + | 0.671255i | \(0.234244\pi\) | |||||||
\(984\) | 4.77975 | − | 8.27876i | 0.152373 | − | 0.263917i | ||||
\(985\) | −11.4654 | − | 19.8586i | −0.365317 | − | 0.632747i | ||||
\(986\) | −19.8979 | −0.633678 | ||||||||
\(987\) | −18.0694 | − | 37.5514i | −0.575154 | − | 1.19527i | ||||
\(988\) | 2.56714 | 0.0816715 | ||||||||
\(989\) | −3.92091 | − | 6.79122i | −0.124678 | − | 0.215948i | ||||
\(990\) | −18.6279 | + | 32.2645i | −0.592035 | + | 1.02543i | ||||
\(991\) | −13.3185 | + | 23.0683i | −0.423075 | + | 0.732788i | −0.996239 | − | 0.0866534i | \(-0.972383\pi\) |
0.573163 | + | 0.819441i | \(0.305716\pi\) | |||||||
\(992\) | 0.330770 | + | 0.572910i | 0.0105020 | + | 0.0181899i | ||||
\(993\) | −24.4451 | −0.775741 | ||||||||
\(994\) | −13.1665 | + | 19.2988i | −0.417617 | + | 0.612121i | ||||
\(995\) | 4.62656 | 0.146672 | ||||||||
\(996\) | −6.73044 | − | 11.6575i | −0.213262 | − | 0.369381i | ||||
\(997\) | −27.7880 | + | 48.1302i | −0.880054 | + | 1.52430i | −0.0287743 | + | 0.999586i | \(0.509160\pi\) |
−0.851280 | + | 0.524712i | \(0.824173\pi\) | |||||||
\(998\) | −9.02439 | + | 15.6307i | −0.285662 | + | 0.494781i | ||||
\(999\) | −32.1079 | − | 55.6125i | −1.01585 | − | 1.75950i |
(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 | 287.2.e.d.165.11 | ✓ | 34 | |
7.2 | even | 3 | inner | 287.2.e.d.247.11 | yes | 34 | |
7.3 | odd | 6 | 2009.2.a.r.1.7 | 17 | |||
7.4 | even | 3 | 2009.2.a.s.1.7 | 17 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.2.e.d.165.11 | ✓ | 34 | 1.1 | even | 1 | trivial | |
287.2.e.d.247.11 | yes | 34 | 7.2 | even | 3 | inner | |
2009.2.a.r.1.7 | 17 | 7.3 | odd | 6 | |||
2009.2.a.s.1.7 | 17 | 7.4 | even | 3 |