Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(37,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 9, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bd (of order \(16\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{16})\) |
Twist minimal: | no (minimal twist has level 64) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 37.7 | ||
Character | \(\chi\) | \(=\) | 576.37 |
Dual form | 576.2.bd.a.109.7 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{9}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.35786 | + | 0.395231i | 0.960154 | + | 0.279470i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.68758 | + | 1.07334i | 0.843792 | + | 0.536670i | ||||
\(5\) | −0.154331 | + | 0.775873i | −0.0690188 | + | 0.346981i | −0.999828 | − | 0.0185235i | \(-0.994103\pi\) |
0.930810 | + | 0.365504i | \(0.119103\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.53949 | − | 3.71667i | 0.581874 | − | 1.40477i | −0.309238 | − | 0.950985i | \(-0.600074\pi\) |
0.891112 | − | 0.453783i | \(-0.149926\pi\) | |||||||
\(8\) | 1.86729 | + | 2.12443i | 0.660188 | + | 0.751101i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.516209 | + | 0.992533i | −0.163240 | + | 0.313866i | ||||
\(11\) | 1.83415 | − | 1.22554i | 0.553018 | − | 0.369515i | −0.247440 | − | 0.968903i | \(-0.579589\pi\) |
0.800459 | + | 0.599388i | \(0.204589\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.559685 | + | 2.81373i | 0.155229 | + | 0.780387i | 0.977441 | + | 0.211207i | \(0.0677393\pi\) |
−0.822213 | + | 0.569180i | \(0.807261\pi\) | |||||||
\(14\) | 3.55936 | − | 4.43827i | 0.951280 | − | 1.18618i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.69589 | + | 3.62270i | 0.423972 | + | 0.905676i | ||||
\(17\) | 2.73419 | − | 2.73419i | 0.663138 | − | 0.663138i | −0.292981 | − | 0.956118i | \(-0.594647\pi\) |
0.956118 | + | 0.292981i | \(0.0946472\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.68264 | + | 1.13035i | −1.30369 | + | 0.259319i | −0.797612 | − | 0.603171i | \(-0.793904\pi\) |
−0.506074 | + | 0.862490i | \(0.668904\pi\) | |||||||
\(20\) | −1.09322 | + | 1.14370i | −0.244452 | + | 0.255740i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.97490 | − | 0.939205i | 0.634251 | − | 0.200239i | ||||
\(23\) | −2.55179 | + | 1.05698i | −0.532084 | + | 0.220396i | −0.632516 | − | 0.774548i | \(-0.717978\pi\) |
0.100432 | + | 0.994944i | \(0.467978\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.04124 | + | 1.67394i | 0.808247 | + | 0.334787i | ||||
\(26\) | −0.352096 | + | 4.04186i | −0.0690517 | + | 0.792674i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 6.58727 | − | 4.61979i | 1.24488 | − | 0.873058i | ||||
\(29\) | 2.96252 | + | 1.97949i | 0.550125 | + | 0.367582i | 0.799352 | − | 0.600863i | \(-0.205176\pi\) |
−0.249226 | + | 0.968445i | \(0.580176\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 0.201957i | − | 0.0362726i | −0.999836 | − | 0.0181363i | \(-0.994227\pi\) | ||
0.999836 | − | 0.0181363i | \(-0.00577328\pi\) | |||||||
\(32\) | 0.870977 | + | 5.58940i | 0.153968 | + | 0.988076i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.79329 | − | 2.63202i | 0.822042 | − | 0.451387i | ||||
\(35\) | 2.64607 | + | 1.76805i | 0.447267 | + | 0.298854i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −8.82594 | − | 1.75559i | −1.45098 | − | 0.288617i | −0.594204 | − | 0.804314i | \(-0.702533\pi\) |
−0.856771 | + | 0.515697i | \(0.827533\pi\) | |||||||
\(38\) | −8.16299 | − | 0.711098i | −1.32421 | − | 0.115355i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.93647 | + | 1.12092i | −0.306183 | + | 0.177232i | ||||
\(41\) | −7.85196 | + | 3.25239i | −1.22627 | + | 0.507938i | −0.899398 | − | 0.437131i | \(-0.855995\pi\) |
−0.326872 | + | 0.945069i | \(0.605995\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.06440 | + | 1.59299i | 0.162320 | + | 0.242929i | 0.903710 | − | 0.428146i | \(-0.140833\pi\) |
−0.741390 | + | 0.671074i | \(0.765833\pi\) | |||||||
\(44\) | 4.41071 | − | 0.0995378i | 0.664940 | − | 0.0150059i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.88273 | + | 0.426695i | −0.572477 | + | 0.0629128i | ||||
\(47\) | 7.56082 | − | 7.56082i | 1.10286 | − | 1.10286i | 0.108795 | − | 0.994064i | \(-0.465301\pi\) |
0.994064 | − | 0.108795i | \(-0.0346993\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.49382 | − | 6.49382i | −0.927688 | − | 0.927688i | ||||
\(50\) | 4.82586 | + | 3.87020i | 0.682479 | + | 0.547329i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.07557 | + | 5.34913i | −0.287829 | + | 0.741791i | ||||
\(53\) | −11.1942 | + | 7.47973i | −1.53764 | + | 1.02742i | −0.557256 | + | 0.830341i | \(0.688146\pi\) |
−0.980387 | + | 0.197080i | \(0.936854\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.667799 | + | 1.61221i | 0.0900460 | + | 0.217390i | ||||
\(56\) | 10.7705 | − | 3.66955i | 1.43927 | − | 0.490364i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.24034 | + | 3.85875i | 0.425477 | + | 0.506679i | ||||
\(59\) | 1.71321 | − | 8.61290i | 0.223041 | − | 1.12130i | −0.693221 | − | 0.720725i | \(-0.743809\pi\) |
0.916262 | − | 0.400579i | \(-0.131191\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.32214 | + | 3.47533i | −0.297320 | + | 0.444970i | −0.949810 | − | 0.312826i | \(-0.898724\pi\) |
0.652491 | + | 0.757797i | \(0.273724\pi\) | |||||||
\(62\) | 0.0798198 | − | 0.274231i | 0.0101371 | − | 0.0348273i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.02644 | + | 7.93388i | −0.128305 | + | 0.991735i | ||||
\(65\) | −2.26947 | −0.281493 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.15244 | − | 7.71118i | 0.629471 | − | 0.942070i | −0.370442 | − | 0.928856i | \(-0.620794\pi\) |
0.999913 | − | 0.0132144i | \(-0.00420639\pi\) | |||||||
\(68\) | 7.54888 | − | 1.67946i | 0.915436 | − | 0.203665i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.89421 | + | 3.44657i | 0.345925 | + | 0.411944i | ||||
\(71\) | −1.98817 | + | 4.79986i | −0.235952 | + | 0.569639i | −0.996857 | − | 0.0792247i | \(-0.974756\pi\) |
0.760905 | + | 0.648864i | \(0.224756\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.11102 | − | 14.7533i | −0.715240 | − | 1.72674i | −0.686472 | − | 0.727157i | \(-0.740841\pi\) |
−0.0287686 | − | 0.999586i | \(-0.509159\pi\) | |||||||
\(74\) | −11.2906 | − | 5.87213i | −1.31250 | − | 0.682622i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −10.8032 | − | 4.19184i | −1.23921 | − | 0.480837i | ||||
\(77\) | −1.73126 | − | 8.70365i | −0.197296 | − | 0.991873i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.91841 | − | 2.91841i | −0.328346 | − | 0.328346i | 0.523611 | − | 0.851957i | \(-0.324585\pi\) |
−0.851957 | + | 0.523611i | \(0.824585\pi\) | |||||||
\(80\) | −3.07248 | + | 0.756698i | −0.343514 | + | 0.0846014i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −11.9473 | + | 1.31296i | −1.31936 | + | 0.144992i | ||||
\(83\) | 0.190374 | − | 0.0378677i | 0.0208962 | − | 0.00415652i | −0.184631 | − | 0.982808i | \(-0.559109\pi\) |
0.205527 | + | 0.978651i | \(0.434109\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.69941 | + | 2.54335i | 0.184327 | + | 0.275865i | ||||
\(86\) | 0.815713 | + | 2.58375i | 0.0879606 | + | 0.278612i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 6.02849 | + | 1.60809i | 0.642639 | + | 0.171423i | ||||
\(89\) | −0.659812 | − | 0.273303i | −0.0699399 | − | 0.0289701i | 0.347439 | − | 0.937702i | \(-0.387051\pi\) |
−0.417379 | + | 0.908732i | \(0.637051\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 11.3193 | + | 2.25155i | 1.18659 | + | 0.236027i | ||||
\(92\) | −5.44086 | − | 0.955181i | −0.567249 | − | 0.0995845i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 13.2548 | − | 7.27829i | 1.36713 | − | 0.750699i | ||||
\(95\) | − | 4.58345i | − | 0.470252i | ||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.80442i | 0.284746i | 0.989813 | + | 0.142373i | \(0.0454732\pi\) | ||||
−0.989813 | + | 0.142373i | \(0.954527\pi\) | |||||||
\(98\) | −6.25116 | − | 11.3843i | −0.631463 | − | 1.14999i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 5.02323 | + | 7.16253i | 0.502323 | + | 0.716253i | ||||
\(101\) | −6.80113 | − | 1.35283i | −0.676738 | − | 0.134612i | −0.155257 | − | 0.987874i | \(-0.549620\pi\) |
−0.521481 | + | 0.853263i | \(0.674620\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −12.7910 | − | 5.29822i | −1.26034 | − | 0.522049i | −0.350324 | − | 0.936629i | \(-0.613929\pi\) |
−0.910013 | + | 0.414580i | \(0.863929\pi\) | |||||||
\(104\) | −4.93248 | + | 6.44306i | −0.483669 | + | 0.631794i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −18.1564 | + | 5.73216i | −1.76351 | + | 0.556756i | ||||
\(107\) | 6.64476 | + | 9.94459i | 0.642373 | + | 0.961380i | 0.999625 | + | 0.0273716i | \(0.00871374\pi\) |
−0.357252 | + | 0.934008i | \(0.616286\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.24802 | − | 0.844985i | 0.406887 | − | 0.0809348i | 0.0125963 | − | 0.999921i | \(-0.495990\pi\) |
0.394291 | + | 0.918986i | \(0.370990\pi\) | |||||||
\(110\) | 0.269585 | + | 2.45309i | 0.0257039 | + | 0.233893i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 16.0752 | − | 0.725916i | 1.51896 | − | 0.0685926i | ||||
\(113\) | 4.08315 | + | 4.08315i | 0.384110 | + | 0.384110i | 0.872581 | − | 0.488470i | \(-0.162445\pi\) |
−0.488470 | + | 0.872581i | \(0.662445\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.426266 | − | 2.14299i | −0.0397496 | − | 0.199834i | ||||
\(116\) | 2.87483 | + | 6.52034i | 0.266922 | + | 0.605399i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 5.73039 | − | 11.0180i | 0.527526 | − | 1.01429i | ||||
\(119\) | −5.95280 | − | 14.3713i | −0.545692 | − | 1.31742i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.34735 | + | 5.66701i | −0.213396 | + | 0.515182i | ||||
\(122\) | −4.52671 | + | 3.80124i | −0.409829 | + | 0.344148i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.216769 | − | 0.340820i | 0.0194664 | − | 0.0306066i | ||||
\(125\) | −4.11993 | + | 6.16591i | −0.368498 | + | 0.551496i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −7.68361 | −0.681810 | −0.340905 | − | 0.940098i | \(-0.610733\pi\) | ||||
−0.340905 | + | 0.940098i | \(0.610733\pi\) | |||||||
\(128\) | −4.52947 | + | 10.3674i | −0.400353 | + | 0.916361i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −3.08163 | − | 0.896964i | −0.270277 | − | 0.0786690i | ||||
\(131\) | −3.11524 | + | 4.66229i | −0.272180 | + | 0.407346i | −0.942228 | − | 0.334971i | \(-0.891273\pi\) |
0.670048 | + | 0.742318i | \(0.266273\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −4.54726 | + | 22.8606i | −0.394298 | + | 1.98227i | ||||
\(134\) | 10.0440 | − | 8.43432i | 0.867670 | − | 0.728614i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 10.9141 | + | 0.703071i | 0.935878 | + | 0.0602879i | ||||
\(137\) | −3.02379 | − | 7.30007i | −0.258339 | − | 0.623687i | 0.740489 | − | 0.672068i | \(-0.234594\pi\) |
−0.998829 | + | 0.0483813i | \(0.984594\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.706120 | + | 0.471814i | −0.0598923 | + | 0.0400188i | −0.585156 | − | 0.810921i | \(-0.698967\pi\) |
0.525264 | + | 0.850940i | \(0.323967\pi\) | |||||||
\(140\) | 2.56775 | + | 5.82386i | 0.217015 | + | 0.492206i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −4.59672 | + | 5.73177i | −0.385748 | + | 0.481000i | ||||
\(143\) | 4.47489 | + | 4.47489i | 0.374209 | + | 0.374209i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1.99304 | + | 1.99304i | −0.165513 | + | 0.165513i | ||||
\(146\) | −2.46696 | − | 22.4482i | −0.204167 | − | 1.85783i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −13.0102 | − | 12.4359i | −1.06943 | − | 1.02223i | ||||
\(149\) | −0.819641 | − | 1.22668i | −0.0671476 | − | 0.100493i | 0.796376 | − | 0.604802i | \(-0.206748\pi\) |
−0.863524 | + | 0.504308i | \(0.831748\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.92201 | + | 2.45298i | −0.481927 | + | 0.199621i | −0.610401 | − | 0.792092i | \(-0.708992\pi\) |
0.128475 | + | 0.991713i | \(0.458992\pi\) | |||||||
\(152\) | −13.0125 | − | 9.96170i | −1.05545 | − | 0.808000i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.08913 | − | 12.5026i | 0.0877649 | − | 1.00749i | ||||
\(155\) | 0.156693 | + | 0.0311682i | 0.0125859 | + | 0.00250349i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.13123 | − | 2.76040i | −0.329708 | − | 0.220304i | 0.379687 | − | 0.925115i | \(-0.376032\pi\) |
−0.709395 | + | 0.704811i | \(0.751032\pi\) | |||||||
\(158\) | −2.80935 | − | 5.11624i | −0.223500 | − | 0.407026i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −4.47108 | − | 0.186849i | −0.353470 | − | 0.0147717i | ||||
\(161\) | 11.1114i | 0.875698i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 18.6548 | + | 12.4647i | 1.46115 | + | 0.976311i | 0.995836 | + | 0.0911673i | \(0.0290598\pi\) |
0.465317 | + | 0.885144i | \(0.345940\pi\) | |||||||
\(164\) | −16.7418 | − | 2.93913i | −1.30731 | − | 0.229508i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.273468 | + | 0.0238224i | 0.0212252 | + | 0.00184898i | ||||
\(167\) | 1.14501 | + | 0.474279i | 0.0886036 | + | 0.0367008i | 0.426545 | − | 0.904466i | \(-0.359731\pi\) |
−0.337941 | + | 0.941167i | \(0.609731\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.40663 | − | 1.82529i | 0.338972 | − | 0.140407i | ||||
\(170\) | 1.30236 | + | 4.12518i | 0.0998863 | + | 0.316387i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.0864500 | + | 3.83077i | 0.00659175 | + | 0.292093i | ||||
\(173\) | 3.23710 | − | 0.643899i | 0.246112 | − | 0.0489547i | −0.0704926 | − | 0.997512i | \(-0.522457\pi\) |
0.316605 | + | 0.948558i | \(0.397457\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 12.4429 | − | 12.4429i | 0.940596 | − | 0.940596i | ||||
\(176\) | 7.55029 | + | 4.56621i | 0.569125 | + | 0.344191i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.787916 | − | 0.631886i | −0.0590568 | − | 0.0473619i | ||||
\(179\) | −1.34019 | − | 6.73758i | −0.100170 | − | 0.503591i | −0.997998 | − | 0.0632437i | \(-0.979855\pi\) |
0.897828 | − | 0.440347i | \(-0.145145\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 5.57875 | − | 3.72760i | 0.414665 | − | 0.277070i | −0.330688 | − | 0.943740i | \(-0.607281\pi\) |
0.745353 | + | 0.666670i | \(0.232281\pi\) | |||||||
\(182\) | 14.4802 | + | 7.53104i | 1.07334 | + | 0.558238i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −7.01042 | − | 3.44740i | −0.516815 | − | 0.254146i | ||||
\(185\) | 2.72423 | − | 6.57686i | 0.200289 | − | 0.483541i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.66406 | − | 8.36578i | 0.121688 | − | 0.611767i | ||||
\(188\) | 20.8749 | − | 4.64420i | 1.52246 | − | 0.338713i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.81152 | − | 6.22370i | 0.131422 | − | 0.451515i | ||||
\(191\) | −12.7735 | −0.924258 | −0.462129 | − | 0.886813i | \(-0.652914\pi\) | ||||
−0.462129 | + | 0.886813i | \(0.652914\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 19.9599 | 1.43675 | 0.718373 | − | 0.695659i | \(-0.244887\pi\) | ||||
0.718373 | + | 0.695659i | \(0.244887\pi\) | |||||||
\(194\) | −1.10839 | + | 3.80802i | −0.0795780 | + | 0.273400i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −3.98880 | − | 17.9289i | −0.284914 | − | 1.28064i | ||||
\(197\) | −1.38429 | + | 6.95930i | −0.0986267 | + | 0.495830i | 0.899622 | + | 0.436670i | \(0.143842\pi\) |
−0.998249 | + | 0.0591600i | \(0.981158\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.35849 | + | 5.69389i | −0.167189 | + | 0.403629i | −0.985162 | − | 0.171627i | \(-0.945098\pi\) |
0.817973 | + | 0.575256i | \(0.195098\pi\) | |||||||
\(200\) | 3.99001 | + | 11.7111i | 0.282136 | + | 0.828097i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −8.70033 | − | 4.52498i | −0.612153 | − | 0.318376i | ||||
\(203\) | 11.9179 | − | 7.96327i | 0.836471 | − | 0.558912i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.31164 | − | 6.59406i | −0.0916090 | − | 0.460549i | ||||
\(206\) | −15.2744 | − | 12.2497i | −1.06422 | − | 0.853474i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −9.24413 | + | 6.79933i | −0.640965 | + | 0.471449i | ||||
\(209\) | −9.03754 | + | 9.03754i | −0.625140 | + | 0.625140i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 22.5419 | − | 4.48387i | 1.55185 | − | 0.308682i | 0.656599 | − | 0.754240i | \(-0.271995\pi\) |
0.895253 | + | 0.445558i | \(0.146995\pi\) | |||||||
\(212\) | −26.9195 | + | 0.607499i | −1.84884 | + | 0.0417232i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 5.09227 | + | 16.1296i | 0.348100 | + | 1.10260i | ||||
\(215\) | −1.40023 | + | 0.579993i | −0.0954947 | + | 0.0395552i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.750608 | − | 0.310912i | −0.0509546 | − | 0.0211061i | ||||
\(218\) | 6.10220 | + | 0.531577i | 0.413293 | + | 0.0360030i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.603480 | + | 3.43751i | −0.0406866 | + | 0.231757i | ||||
\(221\) | 9.22353 | + | 6.16297i | 0.620442 | + | 0.414566i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 14.8044i | 0.991375i | 0.868501 | + | 0.495688i | \(0.165084\pi\) | ||||
−0.868501 | + | 0.495688i | \(0.834916\pi\) | |||||||
\(224\) | 22.1148 | + | 5.36771i | 1.47761 | + | 0.358645i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 3.93057 | + | 7.15814i | 0.261458 | + | 0.476153i | ||||
\(227\) | 9.66687 | + | 6.45920i | 0.641613 | + | 0.428712i | 0.833359 | − | 0.552733i | \(-0.186415\pi\) |
−0.191746 | + | 0.981445i | \(0.561415\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −12.7938 | − | 2.54484i | −0.845435 | − | 0.168168i | −0.246677 | − | 0.969098i | \(-0.579339\pi\) |
−0.598758 | + | 0.800930i | \(0.704339\pi\) | |||||||
\(230\) | 0.268163 | − | 3.07836i | 0.0176821 | − | 0.202981i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.32659 | + | 9.98995i | 0.0870949 | + | 0.655873i | ||||
\(233\) | 15.7633 | − | 6.52939i | 1.03269 | − | 0.427755i | 0.199008 | − | 0.979998i | \(-0.436228\pi\) |
0.833683 | + | 0.552243i | \(0.186228\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.69937 | + | 7.03310i | 0.306553 | + | 0.458789i | ||||
\(236\) | 12.1358 | − | 12.6961i | 0.789971 | − | 0.826449i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −2.40309 | − | 21.8670i | −0.155769 | − | 1.41743i | ||||
\(239\) | −4.07054 | + | 4.07054i | −0.263301 | + | 0.263301i | −0.826394 | − | 0.563093i | \(-0.809611\pi\) |
0.563093 | + | 0.826394i | \(0.309611\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 8.38424 | + | 8.38424i | 0.540076 | + | 0.540076i | 0.923551 | − | 0.383475i | \(-0.125273\pi\) |
−0.383475 | + | 0.923551i | \(0.625273\pi\) | |||||||
\(242\) | −5.42716 | + | 6.76727i | −0.348871 | + | 0.435017i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −7.64902 | + | 3.37247i | −0.489678 | + | 0.215900i | ||||
\(245\) | 6.04057 | − | 4.03618i | 0.385918 | − | 0.257862i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −6.36097 | − | 15.3567i | −0.404739 | − | 0.977126i | ||||
\(248\) | 0.429045 | − | 0.377114i | 0.0272444 | − | 0.0239467i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −8.03126 | + | 6.74414i | −0.507942 | + | 0.426537i | ||||
\(251\) | 3.80254 | − | 19.1167i | 0.240014 | − | 1.20663i | −0.653264 | − | 0.757130i | \(-0.726601\pi\) |
0.893278 | − | 0.449504i | \(-0.148399\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.38499 | + | 5.06599i | −0.212812 | + | 0.318496i | ||||
\(254\) | −10.4333 | − | 3.03680i | −0.654643 | − | 0.190546i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −10.2479 | + | 12.2874i | −0.640496 | + | 0.767961i | ||||
\(257\) | 10.7354 | 0.669657 | 0.334828 | − | 0.942279i | \(-0.391322\pi\) | ||||
0.334828 | + | 0.942279i | \(0.391322\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −20.1124 | + | 30.1004i | −1.24972 | + | 1.87034i | ||||
\(260\) | −3.82992 | − | 2.43591i | −0.237522 | − | 0.151069i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −6.07276 | + | 5.09951i | −0.375176 | + | 0.315049i | ||||
\(263\) | 6.13406 | − | 14.8089i | 0.378242 | − | 0.913158i | −0.614053 | − | 0.789265i | \(-0.710462\pi\) |
0.992296 | − | 0.123893i | \(-0.0395380\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.07571 | − | 9.83964i | −0.250369 | − | 0.604444i | ||||
\(266\) | −15.2098 | + | 29.2444i | −0.932572 | + | 1.79309i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 16.9719 | − | 7.48295i | 1.03672 | − | 0.457094i | ||||
\(269\) | 6.17273 | + | 31.0324i | 0.376358 | + | 1.89208i | 0.446925 | + | 0.894571i | \(0.352519\pi\) |
−0.0705674 | + | 0.997507i | \(0.522481\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.32497 | + | 2.32497i | 0.141232 | + | 0.141232i | 0.774188 | − | 0.632956i | \(-0.218159\pi\) |
−0.632956 | + | 0.774188i | \(0.718159\pi\) | |||||||
\(272\) | 14.5420 | + | 5.26827i | 0.881739 | + | 0.319436i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.22068 | − | 11.1076i | −0.0737437 | − | 0.671034i | ||||
\(275\) | 9.46373 | − | 1.88245i | 0.570684 | − | 0.113516i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 7.64613 | + | 11.4432i | 0.459411 | + | 0.687557i | 0.986778 | − | 0.162081i | \(-0.0518204\pi\) |
−0.527366 | + | 0.849638i | \(0.676820\pi\) | |||||||
\(278\) | −1.14529 | + | 0.361579i | −0.0686899 | + | 0.0216860i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.18489 | + | 8.92286i | 0.0708106 | + | 0.533243i | ||||
\(281\) | −5.95182 | − | 2.46532i | −0.355056 | − | 0.147069i | 0.198024 | − | 0.980197i | \(-0.436548\pi\) |
−0.553080 | + | 0.833128i | \(0.686548\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −17.8358 | − | 3.54776i | −1.06023 | − | 0.210893i | −0.365976 | − | 0.930624i | \(-0.619265\pi\) |
−0.694252 | + | 0.719732i | \(0.744265\pi\) | |||||||
\(284\) | −8.50709 | + | 5.96620i | −0.504803 | + | 0.354029i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 4.30767 | + | 7.84490i | 0.254718 | + | 0.463879i | ||||
\(287\) | 34.1901i | 2.01818i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 2.04845i | 0.120497i | ||||||||
\(290\) | −3.49399 | + | 1.91856i | −0.205174 | + | 0.112662i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 5.52243 | − | 31.4566i | 0.323176 | − | 1.84086i | ||||
\(293\) | −2.52796 | − | 0.502842i | −0.147685 | − | 0.0293763i | 0.120694 | − | 0.992690i | \(-0.461488\pi\) |
−0.268379 | + | 0.963313i | \(0.586488\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 6.41812 | + | 2.65847i | 0.373677 | + | 0.154782i | ||||
\(296\) | −12.7510 | − | 22.0283i | −0.741136 | − | 1.28037i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.628138 | − | 1.98961i | −0.0363871 | − | 0.115255i | ||||
\(299\) | −4.40226 | − | 6.58845i | −0.254589 | − | 0.381020i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 7.55925 | − | 1.50363i | 0.435708 | − | 0.0866677i | ||||
\(302\) | −9.01078 | + | 0.990246i | −0.518512 | + | 0.0569822i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −13.7320 | − | 18.6696i | −0.787585 | − | 1.07077i | ||||
\(305\) | −2.33804 | − | 2.33804i | −0.133876 | − | 0.133876i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.65226 | + | 8.30646i | 0.0942993 | + | 0.474075i | 0.998860 | + | 0.0477304i | \(0.0151988\pi\) |
−0.904561 | + | 0.426344i | \(0.859801\pi\) | |||||||
\(308\) | 6.42032 | − | 16.5464i | 0.365832 | − | 0.942818i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.200449 | + | 0.104252i | 0.0113848 | + | 0.00592113i | ||||
\(311\) | 0.633352 | + | 1.52905i | 0.0359141 | + | 0.0867042i | 0.940819 | − | 0.338910i | \(-0.110058\pi\) |
−0.904905 | + | 0.425614i | \(0.860058\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.07939 | − | 14.6769i | 0.343628 | − | 0.829590i | −0.653715 | − | 0.756740i | \(-0.726791\pi\) |
0.997343 | − | 0.0728497i | \(-0.0232094\pi\) | |||||||
\(314\) | −4.51865 | − | 5.38104i | −0.255002 | − | 0.303670i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.79262 | − | 8.05750i | −0.100843 | − | 0.453270i | ||||
\(317\) | 8.81780 | − | 13.1968i | 0.495257 | − | 0.741204i | −0.496680 | − | 0.867934i | \(-0.665448\pi\) |
0.991937 | + | 0.126729i | \(0.0404479\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 7.85966 | 0.440057 | ||||||||
\(320\) | −5.99727 | − | 2.02082i | −0.335258 | − | 0.112968i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −4.39155 | + | 15.0877i | −0.244732 | + | 0.840805i | ||||
\(323\) | −12.4468 | + | 18.6280i | −0.692559 | + | 1.03649i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.44817 | + | 12.3078i | −0.135800 | + | 0.682714i | ||||
\(326\) | 20.4042 | + | 24.2983i | 1.13008 | + | 1.34576i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −21.5714 | − | 10.6078i | −1.19108 | − | 0.585718i | ||||
\(329\) | −16.4612 | − | 39.7409i | −0.907536 | − | 2.19099i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 17.9691 | − | 12.0066i | 0.987671 | − | 0.659941i | 0.0468703 | − | 0.998901i | \(-0.485075\pi\) |
0.940801 | + | 0.338960i | \(0.110075\pi\) | |||||||
\(332\) | 0.361917 | + | 0.140431i | 0.0198628 | + | 0.00770713i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.36732 | + | 1.09655i | 0.0748164 | + | 0.0600005i | ||||
\(335\) | 5.18771 | + | 5.18771i | 0.283435 | + | 0.283435i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.918442 | − | 0.918442i | 0.0500307 | − | 0.0500307i | −0.681649 | − | 0.731680i | \(-0.738737\pi\) |
0.731680 | + | 0.681649i | \(0.238737\pi\) | |||||||
\(338\) | 6.70501 | − | 0.736852i | 0.364705 | − | 0.0400795i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.138025 | + | 6.11616i | 0.00748547 | + | 0.331696i | ||||
\(341\) | −0.247507 | − | 0.370421i | −0.0134033 | − | 0.0200594i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −8.11589 | + | 3.36171i | −0.438217 | + | 0.181515i | ||||
\(344\) | −1.39665 | + | 5.23583i | −0.0753024 | + | 0.282297i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 4.65003 | + | 0.405075i | 0.249987 | + | 0.0217770i | ||||
\(347\) | 0.170754 | + | 0.0339651i | 0.00916656 | + | 0.00182334i | 0.199671 | − | 0.979863i | \(-0.436013\pi\) |
−0.190505 | + | 0.981686i | \(0.561013\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.883430 | + | 0.590289i | 0.0472889 | + | 0.0315974i | 0.578990 | − | 0.815335i | \(-0.303447\pi\) |
−0.531701 | + | 0.846932i | \(0.678447\pi\) | |||||||
\(350\) | 21.8136 | − | 11.9780i | 1.16599 | − | 0.640249i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 8.44756 | + | 9.18440i | 0.450256 | + | 0.489530i | ||||
\(353\) | 0.638175i | 0.0339666i | 0.999856 | + | 0.0169833i | \(0.00540622\pi\) | ||||
−0.999856 | + | 0.0169833i | \(0.994594\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.41725 | − | 2.28333i | −0.181369 | − | 0.121187i | ||||
\(356\) | −0.820141 | − | 1.16942i | −0.0434674 | − | 0.0619793i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.843109 | − | 9.67840i | 0.0445597 | − | 0.511519i | ||||
\(359\) | −14.2385 | − | 5.89779i | −0.751480 | − | 0.311273i | −0.0261347 | − | 0.999658i | \(-0.508320\pi\) |
−0.725345 | + | 0.688385i | \(0.758320\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 13.4610 | − | 5.57571i | 0.708472 | − | 0.293459i | ||||
\(362\) | 9.04844 | − | 2.85668i | 0.475575 | − | 0.150144i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 16.6856 | + | 15.9491i | 0.874564 | + | 0.835962i | ||||
\(365\) | 12.3898 | − | 2.46448i | 0.648512 | − | 0.128997i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 5.81483 | − | 5.81483i | 0.303531 | − | 0.303531i | −0.538862 | − | 0.842394i | \(-0.681146\pi\) |
0.842394 | + | 0.538862i | \(0.181146\pi\) | |||||||
\(368\) | −8.15668 | − | 7.45183i | −0.425196 | − | 0.388454i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 6.29851 | − | 7.85378i | 0.327444 | − | 0.408299i | ||||
\(371\) | 10.5663 | + | 53.1202i | 0.548573 | + | 2.75786i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −4.87425 | + | 3.25687i | −0.252379 | + | 0.168634i | −0.675324 | − | 0.737521i | \(-0.735996\pi\) |
0.422945 | + | 0.906155i | \(0.360996\pi\) | |||||||
\(374\) | 5.56598 | − | 10.7019i | 0.287810 | − | 0.553382i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 30.1807 | + | 1.94420i | 1.55645 | + | 0.100264i | ||||
\(377\) | −3.91167 | + | 9.44360i | −0.201461 | + | 0.486370i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2.02175 | − | 10.1640i | 0.103850 | − | 0.522090i | −0.893482 | − | 0.449098i | \(-0.851745\pi\) |
0.997333 | − | 0.0729916i | \(-0.0232546\pi\) | |||||||
\(380\) | 4.91960 | − | 7.73496i | 0.252370 | − | 0.396795i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −17.3447 | − | 5.04848i | −0.887430 | − | 0.258303i | ||||
\(383\) | 35.5967 | 1.81890 | 0.909452 | − | 0.415808i | \(-0.136501\pi\) | ||||
0.909452 | + | 0.415808i | \(0.136501\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 7.02012 | 0.357778 | ||||||||
\(386\) | 27.1028 | + | 7.88877i | 1.37950 | + | 0.401528i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3.01009 | + | 4.73269i | −0.152814 | + | 0.240266i | ||||
\(389\) | −6.65141 | + | 33.4389i | −0.337240 | + | 1.69542i | 0.324663 | + | 0.945830i | \(0.394749\pi\) |
−0.661903 | + | 0.749590i | \(0.730251\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.08707 | + | 9.86705i | −0.206692 | + | 0.498998i | ||||
\(392\) | 1.66983 | − | 25.9215i | 0.0843390 | − | 1.30924i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −4.63021 | + | 8.90267i | −0.233267 | + | 0.448510i | ||||
\(395\) | 2.71471 | − | 1.81391i | 0.136592 | − | 0.0912679i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.24522 | + | 26.3695i | 0.263250 | + | 1.32345i | 0.855546 | + | 0.517727i | \(0.173222\pi\) |
−0.592295 | + | 0.805721i | \(0.701778\pi\) | |||||||
\(398\) | −5.45290 | + | 6.79938i | −0.273329 | + | 0.340822i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.789309 | + | 17.4790i | 0.0394655 | + | 0.873950i | ||||
\(401\) | 8.87445 | − | 8.87445i | 0.443169 | − | 0.443169i | −0.449907 | − | 0.893076i | \(-0.648543\pi\) |
0.893076 | + | 0.449907i | \(0.148543\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.568253 | − | 0.113032i | 0.0283067 | − | 0.00563055i | ||||
\(404\) | −10.0254 | − | 9.58294i | −0.498784 | − | 0.476769i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 19.3302 | − | 6.10272i | 0.959341 | − | 0.302873i | ||||
\(407\) | −18.3397 | + | 7.59655i | −0.909064 | + | 0.376547i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −10.8015 | − | 4.47412i | −0.534099 | − | 0.221231i | 0.0992984 | − | 0.995058i | \(-0.468340\pi\) |
−0.633398 | + | 0.773827i | \(0.718340\pi\) | |||||||
\(410\) | 0.825149 | − | 9.47224i | 0.0407512 | − | 0.467800i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −15.8992 | − | 22.6703i | −0.783295 | − | 1.11689i | ||||
\(413\) | −29.3738 | − | 19.6269i | −1.44539 | − | 0.965779i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.153550i | 0.00753747i | ||||||||
\(416\) | −15.2396 | + | 5.57899i | −0.747181 | + | 0.273533i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −15.8437 | + | 8.69983i | −0.774939 | + | 0.425523i | ||||
\(419\) | −13.3738 | − | 8.93607i | −0.653351 | − | 0.436555i | 0.184219 | − | 0.982885i | \(-0.441025\pi\) |
−0.837570 | + | 0.546330i | \(0.816025\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 25.6227 | + | 5.09667i | 1.24877 | + | 0.248397i | 0.774836 | − | 0.632162i | \(-0.217832\pi\) |
0.473938 | + | 0.880558i | \(0.342832\pi\) | |||||||
\(422\) | 32.3810 | + | 2.82079i | 1.57628 | + | 0.137314i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −36.7931 | − | 9.81451i | −1.78683 | − | 0.476635i | ||||
\(425\) | 15.6263 | − | 6.47265i | 0.757989 | − | 0.313969i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 9.34172 | + | 13.9809i | 0.452077 | + | 0.676582i | ||||
\(428\) | 0.539683 | + | 23.9144i | 0.0260866 | + | 1.15595i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.13055 | + | 0.234138i | −0.102744 | + | 0.0112911i | ||||
\(431\) | 6.74058 | − | 6.74058i | 0.324682 | − | 0.324682i | −0.525878 | − | 0.850560i | \(-0.676263\pi\) |
0.850560 | + | 0.525878i | \(0.176263\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −8.98452 | − | 8.98452i | −0.431769 | − | 0.431769i | 0.457461 | − | 0.889230i | \(-0.348759\pi\) |
−0.889230 | + | 0.457461i | \(0.848759\pi\) | |||||||
\(434\) | −0.896341 | − | 0.718840i | −0.0430258 | − | 0.0345054i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 8.07586 | + | 3.13359i | 0.386763 | + | 0.150072i | ||||
\(437\) | 13.3061 | − | 8.89086i | 0.636518 | − | 0.425308i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −12.2357 | − | 29.5395i | −0.583976 | − | 1.40984i | −0.889181 | − | 0.457556i | \(-0.848725\pi\) |
0.305205 | − | 0.952287i | \(-0.401275\pi\) | |||||||
\(440\) | −2.17806 | + | 4.42916i | −0.103835 | + | 0.211152i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 10.0885 | + | 12.0139i | 0.479861 | + | 0.571443i | ||||
\(443\) | −5.01357 | + | 25.2049i | −0.238202 | + | 1.19752i | 0.657704 | + | 0.753277i | \(0.271528\pi\) |
−0.895906 | + | 0.444244i | \(0.853472\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.313877 | − | 0.469751i | 0.0148792 | − | 0.0222683i | ||||
\(446\) | −5.85115 | + | 20.1023i | −0.277060 | + | 0.951873i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 27.9074 | + | 16.0291i | 1.31850 | + | 0.757303i | ||||
\(449\) | 26.9484 | 1.27177 | 0.635887 | − | 0.771782i | \(-0.280635\pi\) | ||||
0.635887 | + | 0.771782i | \(0.280635\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −10.4158 | + | 15.5883i | −0.490459 | + | 0.734024i | ||||
\(452\) | 2.50806 | + | 11.2733i | 0.117969 | + | 0.530250i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 10.5734 | + | 12.5914i | 0.496235 | + | 0.590942i | ||||
\(455\) | −3.49383 | + | 8.43486i | −0.163793 | + | 0.395432i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 4.39604 | + | 10.6130i | 0.205638 | + | 0.496454i | 0.992727 | − | 0.120385i | \(-0.0384128\pi\) |
−0.787089 | + | 0.616839i | \(0.788413\pi\) | |||||||
\(458\) | −16.3664 | − | 8.51203i | −0.764750 | − | 0.397741i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 1.58079 | − | 4.07400i | 0.0737047 | − | 0.189951i | ||||
\(461\) | −3.51862 | − | 17.6893i | −0.163878 | − | 0.823872i | −0.972023 | − | 0.234888i | \(-0.924528\pi\) |
0.808144 | − | 0.588985i | \(-0.200472\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 9.97845 | + | 9.97845i | 0.463738 | + | 0.463738i | 0.899879 | − | 0.436141i | \(-0.143655\pi\) |
−0.436141 | + | 0.899879i | \(0.643655\pi\) | |||||||
\(464\) | −2.14701 | + | 14.0893i | −0.0996726 | + | 0.654079i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 23.9851 | − | 2.63586i | 1.11109 | − | 0.122104i | ||||
\(467\) | −35.3990 | + | 7.04130i | −1.63807 | + | 0.325832i | −0.926360 | − | 0.376640i | \(-0.877079\pi\) |
−0.711711 | + | 0.702473i | \(0.752079\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −20.7277 | − | 31.0212i | −0.957117 | − | 1.43243i | ||||
\(470\) | 3.60140 | + | 11.4073i | 0.166120 | + | 0.526181i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 21.4966 | − | 12.4432i | 0.989462 | − | 0.572745i | ||||
\(473\) | 3.90455 | + | 1.61732i | 0.179531 | + | 0.0743644i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −24.8570 | − | 4.94437i | −1.14052 | − | 0.226863i | ||||
\(476\) | 5.37945 | − | 30.6422i | 0.246567 | − | 1.40448i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −7.13604 | + | 3.91843i | −0.326395 | + | 0.179225i | ||||
\(479\) | − | 37.7961i | − | 1.72695i | −0.504393 | − | 0.863474i | \(-0.668284\pi\) | ||
0.504393 | − | 0.863474i | \(-0.331716\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | − | 25.8163i | − | 1.17712i | ||||||
\(482\) | 8.07094 | + | 14.6984i | 0.367621 | + | 0.669492i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −10.0440 | + | 7.04405i | −0.456544 | + | 0.320184i | ||||
\(485\) | −2.17587 | − | 0.432808i | −0.0988012 | − | 0.0196528i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 17.7628 | + | 7.35758i | 0.804908 | + | 0.333404i | 0.746920 | − | 0.664914i | \(-0.231532\pi\) |
0.0579876 | + | 0.998317i | \(0.481532\pi\) | |||||||
\(488\) | −11.7192 | + | 1.55622i | −0.530504 | + | 0.0704469i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 9.79750 | − | 3.09316i | 0.442606 | − | 0.139735i | ||||
\(491\) | −19.8604 | − | 29.7231i | −0.896285 | − | 1.34139i | −0.939582 | − | 0.342323i | \(-0.888786\pi\) |
0.0432969 | − | 0.999062i | \(-0.486214\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 13.5124 | − | 2.68778i | 0.608566 | − | 0.121051i | ||||
\(494\) | −2.56787 | − | 23.3664i | −0.115534 | − | 1.05130i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.731632 | − | 0.342497i | 0.0328512 | − | 0.0153786i | ||||
\(497\) | 14.7787 | + | 14.7787i | 0.662916 | + | 0.662916i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −5.52124 | − | 27.7572i | −0.247165 | − | 1.24258i | −0.882488 | − | 0.470335i | \(-0.844133\pi\) |
0.635323 | − | 0.772246i | \(-0.280867\pi\) | |||||||
\(500\) | −13.5708 | + | 5.98342i | −0.606907 | + | 0.267587i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 12.7188 | − | 24.4549i | 0.567669 | − | 1.09148i | ||||
\(503\) | −3.74555 | − | 9.04255i | −0.167006 | − | 0.403187i | 0.818114 | − | 0.575056i | \(-0.195020\pi\) |
−0.985120 | + | 0.171868i | \(0.945020\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.09925 | − | 5.06803i | 0.0934153 | − | 0.225524i | ||||
\(506\) | −6.59859 | + | 5.54108i | −0.293343 | + | 0.246331i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −12.9667 | − | 8.24712i | −0.575306 | − | 0.365907i | ||||
\(509\) | 13.6199 | − | 20.3836i | 0.603691 | − | 0.903488i | −0.396201 | − | 0.918164i | \(-0.629672\pi\) |
0.999892 | + | 0.0146761i | \(0.00467173\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −64.2409 | −2.84185 | ||||||||
\(512\) | −18.7717 | + | 12.6343i | −0.829598 | + | 0.558361i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 14.5772 | + | 4.24297i | 0.642974 | + | 0.187149i | ||||
\(515\) | 6.08479 | − | 9.10653i | 0.268128 | − | 0.401282i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.60160 | − | 23.1338i | 0.202378 | − | 1.01742i | ||||
\(518\) | −39.2065 | + | 32.9231i | −1.72263 | + | 1.44656i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −4.23776 | − | 4.82134i | −0.185838 | − | 0.211430i | ||||
\(521\) | 1.21410 | + | 2.93109i | 0.0531905 | + | 0.128413i | 0.948241 | − | 0.317552i | \(-0.102861\pi\) |
−0.895050 | + | 0.445965i | \(0.852861\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 32.5809 | − | 21.7698i | 1.42466 | − | 0.951929i | 0.425772 | − | 0.904830i | \(-0.360003\pi\) |
0.998890 | − | 0.0470985i | \(-0.0149975\pi\) | |||||||
\(524\) | −10.2615 | + | 4.52430i | −0.448274 | + | 0.197645i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 14.1822 | − | 17.6841i | 0.618372 | − | 0.771065i | ||||
\(527\) | −0.552189 | − | 0.552189i | −0.0240537 | − | 0.0240537i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −10.8691 | + | 10.8691i | −0.472568 | + | 0.472568i | ||||
\(530\) | −1.64533 | − | 14.9717i | −0.0714685 | − | 0.650330i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −32.2111 | + | 33.6985i | −1.39653 | + | 1.46101i | ||||
\(533\) | −13.5459 | − | 20.2729i | −0.586740 | − | 0.878118i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −8.74123 | + | 3.62073i | −0.377916 | + | 0.156538i | ||||
\(536\) | 26.0030 | − | 3.45300i | 1.12316 | − | 0.149147i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −3.88324 | + | 44.5774i | −0.167419 | + | 1.92187i | ||||
\(539\) | −19.8691 | − | 3.95221i | −0.855824 | − | 0.170234i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −15.3762 | − | 10.2741i | −0.661075 | − | 0.441716i | 0.179247 | − | 0.983804i | \(-0.442634\pi\) |
−0.840322 | + | 0.542088i | \(0.817634\pi\) | |||||||
\(542\) | 2.23809 | + | 4.07590i | 0.0961343 | + | 0.175075i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 17.6639 | + | 12.9010i | 0.757333 | + | 0.553128i | ||||
\(545\) | 3.42633i | 0.146768i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −12.2578 | − | 8.19037i | −0.524104 | − | 0.350195i | 0.265204 | − | 0.964192i | \(-0.414561\pi\) |
−0.789308 | + | 0.613997i | \(0.789561\pi\) | |||||||
\(548\) | 2.73255 | − | 15.5650i | 0.116729 | − | 0.664905i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 13.5945 | + | 1.18425i | 0.579670 | + | 0.0504964i | ||||
\(551\) | −19.0724 | − | 7.90005i | −0.812512 | − | 0.336553i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −15.3396 | + | 6.35388i | −0.652307 | + | 0.270194i | ||||
\(554\) | 5.85967 | + | 18.5603i | 0.248954 | + | 0.788553i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.69805 | + | 0.0383205i | −0.0720135 | + | 0.00162515i | ||||
\(557\) | 18.6390 | − | 3.70752i | 0.789758 | − | 0.157093i | 0.216299 | − | 0.976327i | \(-0.430601\pi\) |
0.573459 | + | 0.819234i | \(0.305601\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.88650 | + | 3.88650i | −0.164382 | + | 0.164382i | ||||
\(560\) | −1.91768 | + | 12.5843i | −0.0810366 | + | 0.531785i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −7.10738 | − | 5.69992i | −0.299807 | − | 0.240436i | ||||
\(563\) | −5.99694 | − | 30.1487i | −0.252741 | − | 1.27061i | −0.873582 | − | 0.486678i | \(-0.838209\pi\) |
0.620841 | − | 0.783937i | \(-0.286791\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −3.79816 | + | 2.53785i | −0.159790 | + | 0.106768i | ||||
\(566\) | −22.8164 | − | 11.8666i | −0.959045 | − | 0.498792i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −13.9095 | + | 4.73902i | −0.583629 | + | 0.198845i | ||||
\(569\) | −1.35295 | + | 3.26632i | −0.0567187 | + | 0.136931i | −0.949699 | − | 0.313166i | \(-0.898610\pi\) |
0.892980 | + | 0.450097i | \(0.148610\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.21231 | + | 36.2587i | −0.301826 | + | 1.51738i | 0.470641 | + | 0.882325i | \(0.344023\pi\) |
−0.772467 | + | 0.635055i | \(0.780977\pi\) | |||||||
\(572\) | 2.74868 | + | 12.3548i | 0.114928 | + | 0.516581i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −13.5130 | + | 46.4255i | −0.564022 | + | 1.93776i | ||||
\(575\) | −12.0817 | −0.503842 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −13.4288 | −0.559050 | −0.279525 | − | 0.960138i | \(-0.590177\pi\) | ||||
−0.279525 | + | 0.960138i | \(0.590177\pi\) | |||||||
\(578\) | −0.809610 | + | 2.78151i | −0.0336753 | + | 0.115696i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −5.50263 | + | 1.22422i | −0.228484 | + | 0.0508328i | ||||
\(581\) | 0.152338 | − | 0.765853i | 0.00632003 | − | 0.0317729i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −11.3652 | + | 27.4380i | −0.470698 | + | 1.13636i | ||||
\(584\) | 19.9313 | − | 40.5312i | 0.824765 | − | 1.67719i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −3.23388 | − | 1.68192i | −0.133590 | − | 0.0694793i | ||||
\(587\) | −4.86470 | + | 3.25049i | −0.200788 | + | 0.134162i | −0.651899 | − | 0.758305i | \(-0.726028\pi\) |
0.451112 | + | 0.892467i | \(0.351028\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.228282 | + | 1.14765i | 0.00940619 | + | 0.0472881i | ||||
\(590\) | 7.66421 | + | 6.14648i | 0.315531 | + | 0.253046i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −8.60781 | − | 34.9510i | −0.353779 | − | 1.43648i | ||||
\(593\) | −22.6469 | + | 22.6469i | −0.929995 | + | 0.929995i | −0.997705 | − | 0.0677097i | \(-0.978431\pi\) |
0.0677097 | + | 0.997705i | \(0.478431\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 12.0690 | − | 2.40068i | 0.494781 | − | 0.0984181i | ||||
\(596\) | −0.0665707 | − | 2.94988i | −0.00272684 | − | 0.120832i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −3.37371 | − | 10.6861i | −0.137961 | − | 0.436988i | ||||
\(599\) | −40.9799 | + | 16.9744i | −1.67439 | + | 0.693557i | −0.999035 | − | 0.0439314i | \(-0.986012\pi\) |
−0.675360 | + | 0.737488i | \(0.736012\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 19.0417 | + | 7.88732i | 0.776727 | + | 0.321731i | 0.735594 | − | 0.677423i | \(-0.236903\pi\) |
0.0411328 | + | 0.999154i | \(0.486903\pi\) | |||||||
\(602\) | 10.8587 | + | 0.945928i | 0.442568 | + | 0.0385531i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −12.6268 | − | 2.21672i | −0.513776 | − | 0.0901970i | ||||
\(605\) | −4.03461 | − | 2.69584i | −0.164030 | − | 0.109601i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 19.4092i | 0.787793i | 0.919155 | + | 0.393897i | \(0.128873\pi\) | ||||
−0.919155 | + | 0.393897i | \(0.871127\pi\) | |||||||
\(608\) | −11.2674 | − | 30.7780i | −0.456954 | − | 1.24821i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.25067 | − | 4.09880i | −0.0911269 | − | 0.165955i | ||||
\(611\) | 25.5058 | + | 17.0424i | 1.03185 | + | 0.689462i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −17.2993 | − | 3.44105i | −0.698712 | − | 0.138983i | −0.167062 | − | 0.985946i | \(-0.553428\pi\) |
−0.531650 | + | 0.846964i | \(0.678428\pi\) | |||||||
\(614\) | −1.03943 | + | 11.9321i | −0.0419480 | + | 0.481539i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 15.2576 | − | 19.9302i | 0.614745 | − | 0.803012i | ||||
\(617\) | −19.6710 | + | 8.14801i | −0.791926 | + | 0.328027i | −0.741718 | − | 0.670712i | \(-0.765989\pi\) |
−0.0502085 | + | 0.998739i | \(0.515989\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −8.49755 | − | 12.7175i | −0.341545 | − | 0.511159i | 0.620442 | − | 0.784252i | \(-0.286953\pi\) |
−0.961987 | + | 0.273094i | \(0.911953\pi\) | |||||||
\(620\) | 0.230979 | + | 0.220784i | 0.00927634 | + | 0.00886690i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0.255678 | + | 2.32656i | 0.0102518 | + | 0.0932864i | ||||
\(623\) | −2.03155 | + | 2.03155i | −0.0813924 | + | 0.0813924i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 11.3170 | + | 11.3170i | 0.452681 | + | 0.452681i | ||||
\(626\) | 14.0558 | − | 17.5265i | 0.561781 | − | 0.700501i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −4.00896 | − | 9.09263i | −0.159975 | − | 0.362835i | ||||
\(629\) | −28.9319 | + | 19.3317i | −1.15359 | + | 0.770804i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −15.2549 | − | 36.8286i | −0.607289 | − | 1.46613i | −0.865937 | − | 0.500153i | \(-0.833277\pi\) |
0.258648 | − | 0.965972i | \(-0.416723\pi\) | |||||||
\(632\) | 0.750442 | − | 11.6495i | 0.0298510 | − | 0.463392i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 17.1891 | − | 14.4343i | 0.682668 | − | 0.573261i | ||||
\(635\) | 1.18582 | − | 5.96150i | 0.0470577 | − | 0.236575i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 14.6373 | − | 21.9063i | 0.579952 | − | 0.867960i | ||||
\(638\) | 10.6723 | + | 3.10638i | 0.422522 | + | 0.122983i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −7.34478 | − | 5.11431i | −0.290328 | − | 0.202161i | ||||
\(641\) | 29.8562 | 1.17925 | 0.589624 | − | 0.807678i | \(-0.299276\pi\) | ||||
0.589624 | + | 0.807678i | \(0.299276\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −16.7593 | + | 25.0820i | −0.660921 | + | 0.989138i | 0.337928 | + | 0.941172i | \(0.390274\pi\) |
−0.998849 | + | 0.0479657i | \(0.984726\pi\) | |||||||
\(644\) | −11.9263 | + | 18.7514i | −0.469960 | + | 0.738907i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −24.2634 | + | 20.3749i | −0.954631 | + | 0.801638i | ||||
\(647\) | −9.93240 | + | 23.9789i | −0.390483 | + | 0.942709i | 0.599352 | + | 0.800486i | \(0.295425\pi\) |
−0.989835 | + | 0.142223i | \(0.954575\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −7.41318 | − | 17.8970i | −0.290993 | − | 0.702519i | ||||
\(650\) | −8.18871 | + | 15.7447i | −0.321188 | + | 0.617559i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 18.1026 | + | 41.0581i | 0.708953 | + | 1.60796i | ||||
\(653\) | 1.64465 | + | 8.26822i | 0.0643602 | + | 0.323560i | 0.999531 | − | 0.0306378i | \(-0.00975384\pi\) |
−0.935170 | + | 0.354198i | \(0.884754\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −3.13657 | − | 3.13657i | −0.122556 | − | 0.122556i | ||||
\(656\) | −25.0985 | − | 22.9296i | −0.979930 | − | 0.895251i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −6.64525 | − | 60.4687i | −0.259059 | − | 2.35731i | ||||
\(659\) | 4.11710 | − | 0.818941i | 0.160379 | − | 0.0319014i | −0.114248 | − | 0.993452i | \(-0.536446\pi\) |
0.274627 | + | 0.961551i | \(0.411446\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −16.0973 | − | 24.0913i | −0.626112 | − | 0.937043i | −0.999954 | − | 0.00955074i | \(-0.996960\pi\) |
0.373842 | − | 0.927492i | \(-0.378040\pi\) | |||||||
\(662\) | 29.1449 | − | 9.20133i | 1.13275 | − | 0.357620i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0.435931 | + | 0.333726i | 0.0169174 | + | 0.0129511i | ||||
\(665\) | −17.0352 | − | 7.05619i | −0.660595 | − | 0.273627i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −9.65200 | − | 1.91990i | −0.373727 | − | 0.0743389i | ||||
\(668\) | 1.42324 | + | 2.02937i | 0.0550669 | + | 0.0785187i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 4.99386 | + | 9.09455i | 0.192930 | + | 0.351353i | ||||
\(671\) | 9.22017i | 0.355941i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 3.38922i | 0.130645i | 0.997864 | + | 0.0653224i | \(0.0208076\pi\) | ||||
−0.997864 | + | 0.0653224i | \(0.979192\pi\) | |||||||
\(674\) | 1.61012 | − | 0.884122i | 0.0620193 | − | 0.0340551i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 9.39572 | + | 1.64948i | 0.361374 | + | 0.0634417i | ||||
\(677\) | −22.4472 | − | 4.46503i | −0.862717 | − | 0.171605i | −0.256150 | − | 0.966637i | \(-0.582454\pi\) |
−0.606568 | + | 0.795032i | \(0.707454\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 10.4231 | + | 4.31738i | 0.400001 | + | 0.165686i | ||||
\(680\) | −2.22988 | + | 8.35947i | −0.0855119 | + | 0.320571i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.189679 | − | 0.600804i | −0.00726320 | − | 0.0230060i | ||||
\(683\) | 10.4891 | + | 15.6981i | 0.401355 | + | 0.600670i | 0.976010 | − | 0.217726i | \(-0.0698638\pi\) |
−0.574655 | + | 0.818396i | \(0.694864\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 6.13059 | − | 1.21945i | 0.234238 | − | 0.0465928i | ||||
\(686\) | −12.3489 | + | 1.35709i | −0.471484 | + | 0.0518141i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −3.96582 | + | 6.55754i | −0.151196 | + | 0.250004i | ||||
\(689\) | −27.3111 | − | 27.3111i | −1.04047 | − | 1.04047i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −1.70364 | − | 8.56476i | −0.0648094 | − | 0.325819i | 0.934756 | − | 0.355290i | \(-0.115618\pi\) |
−0.999566 | + | 0.0294708i | \(0.990618\pi\) | |||||||
\(692\) | 6.15400 | + | 2.38787i | 0.233940 | + | 0.0907732i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0.218437 | + | 0.113607i | 0.00829174 | + | 0.00431247i | ||||
\(695\) | −0.257092 | − | 0.620674i | −0.00975205 | − | 0.0235435i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −12.5761 | + | 30.3613i | −0.476353 | + | 1.15002i | ||||
\(698\) | 0.966276 | + | 1.15069i | 0.0365741 | + | 0.0435543i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 34.3539 | − | 7.64301i | 1.29846 | − | 0.288879i | ||||
\(701\) | 26.3880 | − | 39.4924i | 0.996661 | − | 1.49161i | 0.130746 | − | 0.991416i | \(-0.458263\pi\) |
0.865914 | − | 0.500192i | \(-0.166737\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 52.1390 | 1.96646 | ||||||||
\(704\) | 7.84066 | + | 15.8099i | 0.295506 | + | 0.595858i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −0.252226 | + | 0.866554i | −0.00949267 | + | 0.0326132i | ||||
\(707\) | −15.4983 | + | 23.1949i | −0.582874 | + | 0.872333i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.30250 | − | 6.54810i | 0.0489163 | − | 0.245919i | −0.948589 | − | 0.316511i | \(-0.897489\pi\) |
0.997505 | + | 0.0705917i | \(0.0224887\pi\) | |||||||
\(710\) | −3.73771 | − | 4.45106i | −0.140274 | − | 0.167045i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −0.651447 | − | 1.91206i | −0.0244140 | − | 0.0716576i | ||||
\(713\) | 0.213466 | + | 0.515352i | 0.00799436 | + | 0.0193001i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −4.16256 | + | 2.78133i | −0.155671 | + | 0.104016i | ||||
\(716\) | 4.97003 | − | 12.8087i | 0.185739 | − | 0.478684i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −17.0030 | − | 13.6359i | −0.634545 | − | 0.508887i | ||||
\(719\) | 6.09983 | + | 6.09983i | 0.227485 | + | 0.227485i | 0.811641 | − | 0.584156i | \(-0.198574\pi\) |
−0.584156 | + | 0.811641i | \(0.698574\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −39.3834 | + | 39.3834i | −1.46671 | + | 1.46671i | ||||
\(722\) | 20.4818 | − | 2.25087i | 0.762255 | − | 0.0837686i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 13.4156 | − | 0.302753i | 0.498586 | − | 0.0112517i | ||||
\(725\) | 8.65869 | + | 12.9586i | 0.321576 | + | 0.481272i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 3.50465 | − | 1.45167i | 0.129980 | − | 0.0538395i | −0.316745 | − | 0.948511i | \(-0.602590\pi\) |
0.446725 | + | 0.894671i | \(0.352590\pi\) | |||||||
\(728\) | 16.3532 | + | 28.2514i | 0.606090 | + | 1.04707i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 17.7977 | + | 1.55040i | 0.658722 | + | 0.0573829i | ||||
\(731\) | 7.26580 | + | 1.44526i | 0.268735 | + | 0.0534548i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −6.66476 | − | 4.45325i | −0.246169 | − | 0.164485i | 0.426365 | − | 0.904551i | \(-0.359794\pi\) |
−0.672534 | + | 0.740067i | \(0.734794\pi\) | |||||||
\(734\) | 10.1939 | − | 5.59754i | 0.376265 | − | 0.206609i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −8.13046 | − | 13.3423i | −0.299693 | − | 0.491805i | ||||
\(737\) | − | 20.4580i | − | 0.753581i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −24.1533 | − | 16.1387i | −0.888492 | − | 0.593671i | 0.0253784 | − | 0.999678i | \(-0.491921\pi\) |
−0.913870 | + | 0.406007i | \(0.866921\pi\) | |||||||
\(740\) | 11.6566 | − | 8.17500i | 0.428504 | − | 0.300519i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −6.64720 | + | 76.3060i | −0.244026 | + | 2.80128i | ||||
\(743\) | 27.7230 | + | 11.4832i | 1.01706 | + | 0.421279i | 0.828025 | − | 0.560691i | \(-0.189465\pi\) |
0.189033 | + | 0.981971i | \(0.439465\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.07824 | − | 0.446623i | 0.0395037 | − | 0.0163630i | ||||
\(746\) | −7.90579 | + | 2.49593i | −0.289451 | + | 0.0913825i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 11.7876 | − | 12.3319i | 0.430996 | − | 0.450898i | ||||
\(749\) | 47.1903 | − | 9.38673i | 1.72430 | − | 0.342984i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 18.6881 | − | 18.6881i | 0.681937 | − | 0.681937i | −0.278499 | − | 0.960436i | \(-0.589837\pi\) |
0.960436 | + | 0.278499i | \(0.0898370\pi\) | |||||||
\(752\) | 40.2129 | + | 14.5683i | 1.46641 | + | 0.531252i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −9.04391 | + | 11.2771i | −0.329360 | + | 0.410688i | ||||
\(755\) | −0.989251 | − | 4.97330i | −0.0360025 | − | 0.180997i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0.988973 | − | 0.660810i | 0.0359448 | − | 0.0240176i | −0.537468 | − | 0.843284i | \(-0.680619\pi\) |
0.573413 | + | 0.819267i | \(0.305619\pi\) | |||||||
\(758\) | 6.76238 | − | 13.0023i | 0.245621 | − | 0.472264i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 9.73724 | − | 8.55864i | 0.353207 | − | 0.310455i | ||||
\(761\) | 3.73816 | − | 9.02472i | 0.135508 | − | 0.327146i | −0.841530 | − | 0.540211i | \(-0.818345\pi\) |
0.977038 | + | 0.213065i | \(0.0683445\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 3.39928 | − | 17.0893i | 0.123062 | − | 0.618675i | ||||
\(764\) | −21.5564 | − | 13.7103i | −0.779882 | − | 0.496021i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 48.3354 | + | 14.0689i | 1.74643 | + | 0.508330i | ||||
\(767\) | 25.1932 | 0.909674 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 53.0775 | 1.91402 | 0.957012 | − | 0.290049i | \(-0.0936716\pi\) | ||||
0.957012 | + | 0.290049i | \(0.0936716\pi\) | |||||||
\(770\) | 9.53236 | + | 2.77457i | 0.343522 | + | 0.0999885i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 33.6840 | + | 21.4237i | 1.21231 | + | 0.771057i | ||||
\(773\) | 4.23170 | − | 21.2742i | 0.152204 | − | 0.765179i | −0.826985 | − | 0.562225i | \(-0.809946\pi\) |
0.979188 | − | 0.202955i | \(-0.0650544\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.338064 | − | 0.816158i | 0.0121436 | − | 0.0293173i | ||||
\(776\) | −5.95780 | + | 5.23667i | −0.213873 | + | 0.187985i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −22.2478 | + | 42.7766i | −0.797622 | + | 1.53362i | ||||
\(779\) | 40.9435 | − | 27.3576i | 1.46695 | − | 0.980187i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.23583 | + | 11.2403i | 0.0800043 | + | 0.402209i | ||||
\(782\) | −9.44944 | + | 11.7828i | −0.337911 | + | 0.421351i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 12.5124 | − | 34.5380i | 0.446871 | − | 1.23350i | ||||
\(785\) | 2.77930 | − | 2.77930i | 0.0991974 | − | 0.0991974i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −23.2249 | + | 4.61971i | −0.827877 | + | 0.164675i | −0.590802 | − | 0.806816i | \(-0.701189\pi\) |
−0.237075 | + | 0.971491i | \(0.576189\pi\) | |||||||
\(788\) | −9.80580 | + | 10.2586i | −0.349317 | + | 0.365448i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 4.40312 | − | 1.39011i | 0.156656 | − | 0.0494578i | ||||
\(791\) | 21.4617 | − | 8.88972i | 0.763089 | − | 0.316082i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −11.0783 | − | 4.58878i | −0.393402 | − | 0.162952i | ||||
\(794\) | −3.29976 | + | 37.8793i | −0.117104 | + | 1.34429i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −10.0916 | + | 7.07747i | −0.357688 | + | 0.250854i | ||||
\(797\) | 20.4305 | + | 13.6512i | 0.723684 | + | 0.483550i | 0.862045 | − | 0.506832i | \(-0.169183\pi\) |
−0.138361 | + | 0.990382i | \(0.544183\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 41.3454i | − | 1.46270i | ||||||
\(800\) | −5.83647 | + | 24.0461i | −0.206350 | + | 0.850156i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 15.5578 | − | 8.54284i | 0.549363 | − | 0.301658i | ||||
\(803\) | −29.2893 | − | 19.5705i | −1.03360 | − | 0.690628i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −8.62100 | − | 1.71482i | −0.303850 | − | 0.0604396i | ||||
\(806\) | 0.816283 | + | 0.0711084i | 0.0287524 | + | 0.00250469i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −9.82571 | − | 16.9747i | −0.345667 | − | 0.597167i | ||||
\(809\) | −10.0811 | + | 4.17573i | −0.354433 | + | 0.146811i | −0.552794 | − | 0.833318i | \(-0.686438\pi\) |
0.198361 | + | 0.980129i | \(0.436438\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 5.66881 | + | 8.48397i | 0.199059 | + | 0.297913i | 0.917548 | − | 0.397626i | \(-0.130166\pi\) |
−0.718489 | + | 0.695539i | \(0.755166\pi\) | |||||||
\(812\) | 28.6597 | − | 0.646772i | 1.00576 | − | 0.0226972i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −27.9052 | + | 3.06666i | −0.978076 | + | 0.107486i | ||||
\(815\) | −12.5500 | + | 12.5500i | −0.439608 | + | 0.439608i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −7.84923 | − | 7.84923i | −0.274610 | − | 0.274610i | ||||
\(818\) | −12.8986 | − | 10.3443i | −0.450990 | − | 0.361681i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 4.86416 | − | 12.5359i | 0.169864 | − | 0.437772i | ||||
\(821\) | 3.93484 | − | 2.62918i | 0.137327 | − | 0.0917589i | −0.485009 | − | 0.874509i | \(-0.661184\pi\) |
0.622336 | + | 0.782750i | \(0.286184\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 9.96174 | + | 24.0498i | 0.347245 | + | 0.838322i | 0.996943 | + | 0.0781305i | \(0.0248951\pi\) |
−0.649699 | + | 0.760192i | \(0.725105\pi\) | |||||||
\(824\) | −12.6289 | − | 37.0670i | −0.439948 | − | 1.29129i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −32.1284 | − | 38.2601i | −1.11789 | − | 1.33124i | ||||
\(827\) | −0.00652173 | + | 0.0327870i | −0.000226783 | + | 0.00114011i | −0.980899 | − | 0.194520i | \(-0.937685\pi\) |
0.980672 | + | 0.195660i | \(0.0626850\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 22.2612 | − | 33.3162i | 0.773163 | − | 1.15712i | −0.210586 | − | 0.977575i | \(-0.567537\pi\) |
0.983750 | − | 0.179546i | \(-0.0574628\pi\) | |||||||
\(830\) | −0.0606877 | + | 0.208500i | −0.00210650 | + | 0.00723713i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −22.8982 | + | 1.55236i | −0.793853 | + | 0.0538184i | ||||
\(833\) | −35.5106 | −1.23037 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.544691 | + | 0.815187i | −0.0188498 | + | 0.0282107i | ||||
\(836\) | −24.9520 | + | 5.55127i | −0.862982 | + | 0.191995i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −14.6279 | − | 17.4197i | −0.505314 | − | 0.601753i | ||||
\(839\) | −7.52166 | + | 18.1589i | −0.259676 | + | 0.626914i | −0.998917 | − | 0.0465270i | \(-0.985185\pi\) |
0.739241 | + | 0.673441i | \(0.235185\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −6.23970 | − | 15.0640i | −0.215162 | − | 0.519447i | ||||
\(842\) | 32.7778 | + | 17.0475i | 1.12960 | + | 0.587494i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 42.8542 | + | 16.6282i | 1.47510 | + | 0.572368i | ||||
\(845\) | 0.736112 | + | 3.70068i | 0.0253230 | + | 0.127307i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 17.4486 | + | 17.4486i | 0.599542 | + | 0.599542i | ||||
\(848\) | −46.0810 | − | 27.8685i | −1.58243 | − | 0.957009i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 23.7766 | − | 2.61295i | 0.815532 | − | 0.0896235i | ||||
\(851\) | 24.3775 | − | 4.84899i | 0.835651 | − | 0.166221i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 22.1961 | + | 33.2188i | 0.759980 | + | 1.13739i | 0.986560 | + | 0.163398i | \(0.0522454\pi\) |
−0.226580 | + | 0.973992i | \(0.572755\pi\) | |||||||
\(854\) | 7.15910 | + | 22.6762i | 0.244979 | + | 0.775965i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −8.71890 | + | 32.6858i | −0.298006 | + | 1.11718i | ||||
\(857\) | 25.2546 | + | 10.4608i | 0.862682 | + | 0.357335i | 0.769756 | − | 0.638338i | \(-0.220378\pi\) |
0.0929262 | + | 0.995673i | \(0.470378\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −7.74276 | − | 1.54013i | −0.264179 | − | 0.0525486i | 0.0612232 | − | 0.998124i | \(-0.480500\pi\) |
−0.325403 | + | 0.945576i | \(0.605500\pi\) | |||||||
\(860\) | −2.98553 | − | 0.524131i | −0.101806 | − | 0.0178727i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 11.8169 | − | 6.48870i | 0.402484 | − | 0.221006i | ||||
\(863\) | 18.5138i | 0.630218i | 0.949055 | + | 0.315109i | \(0.102041\pi\) | ||||
−0.949055 | + | 0.315109i | \(0.897959\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 2.61095i | 0.0887750i | ||||||||
\(866\) | −8.64879 | − | 15.7507i | −0.293898 | − | 0.535231i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.933001 | − | 1.33035i | −0.0316681 | − | 0.0451550i | ||||
\(869\) | −8.92944 | − | 1.77618i | −0.302911 | − | 0.0602527i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 24.5809 | + | 10.1817i | 0.832891 | + | 0.344995i | ||||
\(872\) | 9.72742 | + | 7.44681i | 0.329412 | + | 0.252181i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 21.5818 | − | 6.81358i | 0.730016 | − | 0.230473i | ||||
\(875\) | 16.5740 | + | 24.8048i | 0.560304 | + | 0.838555i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 37.1814 | − | 7.39584i | 1.25553 | − | 0.249740i | 0.477870 | − | 0.878430i | \(-0.341409\pi\) |
0.777655 | + | 0.628691i | \(0.216409\pi\) | |||||||
\(878\) | −4.93942 | − | 44.9465i | −0.166698 | − | 1.51687i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −4.70804 | + | 5.15336i | −0.158708 | + | 0.173720i | ||||
\(881\) | 38.5474 | + | 38.5474i | 1.29870 | + | 1.29870i | 0.929253 | + | 0.369443i | \(0.120452\pi\) |
0.369443 | + | 0.929253i | \(0.379548\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −3.56318 | − | 17.9133i | −0.119910 | − | 0.602831i | −0.993276 | − | 0.115766i | \(-0.963068\pi\) |
0.873366 | − | 0.487064i | \(-0.161932\pi\) | |||||||
\(884\) | 8.95054 | + | 20.3005i | 0.301039 | + | 0.682780i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −16.7695 | + | 32.2433i | −0.563382 | + | 1.08323i | ||||
\(887\) | −17.2580 | − | 41.6645i | −0.579467 | − | 1.39896i | −0.893292 | − | 0.449477i | \(-0.851610\pi\) |
0.313825 | − | 0.949481i | \(-0.398390\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −11.8289 | + | 28.5574i | −0.396728 | + | 0.957785i | ||||
\(890\) | 0.611863 | − | 0.513803i | 0.0205097 | − | 0.0172227i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −15.8901 | + | 24.9837i | −0.532041 | + | 0.836515i | ||||
\(893\) | −34.4191 | + | 51.5118i | −1.15179 | + | 1.72378i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.43434 | 0.181650 | ||||||||
\(896\) | 31.5592 | + | 32.7952i | 1.05432 | + | 1.09561i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 36.5922 | + | 10.6508i | 1.22110 | + | 0.355423i | ||||
\(899\) | 0.399773 | − | 0.598302i | 0.0133332 | − | 0.0199545i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −10.1561 | + | 51.0581i | −0.338348 | + | 1.70099i | ||||
\(902\) | −20.3042 | + | 17.0501i | −0.676054 | + | 0.567707i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −1.04994 | + | 16.2988i | −0.0349206 | + | 0.542090i | ||||
\(905\) | 2.03117 | + | 4.90368i | 0.0675184 | + | 0.163004i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −12.0798 | + | 8.07148i | −0.401104 | + | 0.268009i | −0.739719 | − | 0.672916i | \(-0.765042\pi\) |
0.338615 | + | 0.940925i | \(0.390042\pi\) | |||||||
\(908\) | 9.38076 | + | 21.2763i | 0.311311 | + | 0.706078i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −8.07786 | + | 10.0725i | −0.267779 | + | 0.333901i | ||||
\(911\) | 17.8629 | + | 17.8629i | 0.591824 | + | 0.591824i | 0.938124 | − | 0.346300i | \(-0.112562\pi\) |
−0.346300 | + | 0.938124i | \(0.612562\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.302766 | − | 0.302766i | 0.0100201 | − | 0.0100201i | ||||
\(914\) | 1.77464 | + | 16.1484i | 0.0587000 | + | 0.534143i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −18.8591 | − | 18.0267i | −0.623122 | − | 0.595618i | ||||
\(917\) | 12.5323 | + | 18.7559i | 0.413852 | + | 0.619374i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 26.6553 | − | 11.0410i | 0.879279 | − | 0.364209i | 0.103062 | − | 0.994675i | \(-0.467136\pi\) |
0.776217 | + | 0.630466i | \(0.217136\pi\) | |||||||
\(920\) | 3.75667 | − | 4.90716i | 0.123854 | − | 0.161784i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 2.21355 | − | 25.4103i | 0.0728995 | − | 0.836844i | ||||
\(923\) | −14.6182 | − | 2.90775i | −0.481165 | − | 0.0957098i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −32.7290 | − | 21.8688i | −1.07612 | − | 0.719042i | ||||
\(926\) | 9.60558 | + | 17.4932i | 0.315659 | + | 0.574861i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −8.48388 | + | 18.2828i | −0.278497 | + | 0.600162i | ||||
\(929\) | 7.79886i | 0.255872i | 0.991782 | + | 0.127936i | \(0.0408353\pi\) | ||||
−0.991782 | + | 0.127936i | \(0.959165\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 44.2423 | + | 29.5617i | 1.44998 | + | 0.968847i | ||||
\(932\) | 33.6102 | + | 5.90051i | 1.10094 | + | 0.193278i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −50.8499 | − | 4.42966i | −1.66386 | − | 0.144943i | ||||
\(935\) | 6.23397 | + | 2.58219i | 0.203873 | + | 0.0844468i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 19.8623 | − | 8.22722i | 0.648872 | − | 0.268772i | −0.0338753 | − | 0.999426i | \(-0.510785\pi\) |
0.682748 | + | 0.730654i | \(0.260785\pi\) | |||||||
\(938\) | −15.8849 | − | 50.3148i | −0.518659 | − | 1.64284i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.381680 | + | 16.9130i | 0.0124490 | + | 0.551641i | ||||
\(941\) | −23.3357 | + | 4.64175i | −0.760721 | + | 0.151317i | −0.560183 | − | 0.828369i | \(-0.689269\pi\) |
−0.200538 | + | 0.979686i | \(0.564269\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 16.5988 | − | 16.5988i | 0.540531 | − | 0.540531i | ||||
\(944\) | 34.1074 | − | 8.40004i | 1.11010 | − | 0.273398i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 4.66263 | + | 3.73930i | 0.151595 | + | 0.121575i | ||||
\(947\) | −11.0117 | − | 55.3597i | −0.357833 | − | 1.79895i | −0.569924 | − | 0.821698i | \(-0.693027\pi\) |
0.212091 | − | 0.977250i | \(-0.431973\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 38.0915 | − | 25.4519i | 1.23650 | − | 0.826204i | ||||
\(950\) | −31.7983 | − | 16.5380i | −1.03167 | − | 0.536565i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 19.4153 | − | 39.4818i | 0.629254 | − | 1.27961i | ||||
\(953\) | −0.127965 | + | 0.308934i | −0.00414519 | + | 0.0100074i | −0.925939 | − | 0.377674i | \(-0.876724\pi\) |
0.921793 | + | 0.387682i | \(0.126724\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1.97134 | − | 9.91061i | 0.0637911 | − | 0.320700i | ||||
\(956\) | −11.2385 | + | 2.50031i | −0.363477 | + | 0.0808659i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 14.9382 | − | 51.3220i | 0.482631 | − | 1.65814i | ||||
\(959\) | −31.7870 | −1.02646 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 30.9592 | 0.998684 | ||||||||
\(962\) | 10.2034 | − | 35.0551i | 0.328971 | − | 1.13022i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 5.14998 | + | 23.1482i | 0.165870 | + | 0.745555i | ||||
\(965\) | −3.08043 | + | 15.4863i | −0.0991624 | + | 0.498523i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −10.1992 | + | 24.6231i | −0.327985 | + | 0.791825i | 0.670757 | + | 0.741677i | \(0.265969\pi\) |
−0.998742 | + | 0.0501479i | \(0.984031\pi\) | |||||||
\(968\) | −16.4224 | + | 5.59517i | −0.527835 | + | 0.179836i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −2.78348 | − | 1.44767i | −0.0893721 | − | 0.0464817i | ||||
\(971\) | −21.0612 | + | 14.0726i | −0.675885 | + | 0.451612i | −0.845555 | − | 0.533889i | \(-0.820730\pi\) |
0.169669 | + | 0.985501i | \(0.445730\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0.666509 | + | 3.35077i | 0.0213673 | + | 0.107421i | ||||
\(974\) | 21.2115 | + | 17.0110i | 0.679659 | + | 0.545067i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −16.5282 | − | 2.51866i | −0.529054 | − | 0.0806204i | ||||
\(977\) | −24.9968 | + | 24.9968i | −0.799719 | + | 0.799719i | −0.983051 | − | 0.183332i | \(-0.941312\pi\) |
0.183332 | + | 0.983051i | \(0.441312\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.54514 | + | 0.307348i | −0.0493829 | + | 0.00982287i | ||||
\(980\) | 14.5262 | − | 0.327816i | 0.464022 | − | 0.0104717i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −15.2201 | − | 48.2094i | −0.485694 | − | 1.53842i | ||||
\(983\) | 49.9297 | − | 20.6816i | 1.59251 | − | 0.659640i | 0.602180 | − | 0.798361i | \(-0.294299\pi\) |
0.990332 | + | 0.138721i | \(0.0442991\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −5.18590 | − | 2.14807i | −0.165236 | − | 0.0684431i | ||||
\(986\) | 19.4102 | + | 1.69087i | 0.618148 | + | 0.0538483i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 5.74831 | − | 32.7433i | 0.182878 | − | 1.04170i | ||||
\(989\) | −4.39989 | − | 2.93991i | −0.139908 | − | 0.0934837i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 59.9993i | 1.90594i | 0.303061 | + | 0.952971i | \(0.401991\pi\) | ||||
−0.303061 | + | 0.952971i | \(0.598009\pi\) | |||||||
\(992\) | 1.12882 | − | 0.175900i | 0.0358401 | − | 0.00558484i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 14.2265 | + | 25.9085i | 0.451236 | + | 0.821767i | ||||
\(995\) | −4.05375 | − | 2.70863i | −0.128512 | − | 0.0858693i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −15.0130 | − | 2.98627i | −0.475466 | − | 0.0945761i | −0.0484607 | − | 0.998825i | \(-0.515432\pi\) |
−0.427006 | + | 0.904249i | \(0.640432\pi\) | |||||||
\(998\) | 3.47340 | − | 39.8726i | 0.109948 | − | 1.26214i | ||||
\(999\) | 0 | 0 |
(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 | 576.2.bd.a.37.7 | 56 | ||
3.2 | odd | 2 | 64.2.i.a.37.1 | ✓ | 56 | ||
12.11 | even | 2 | 256.2.i.a.241.3 | 56 | |||
24.5 | odd | 2 | 512.2.i.b.225.3 | 56 | |||
24.11 | even | 2 | 512.2.i.a.225.5 | 56 | |||
64.45 | even | 16 | inner | 576.2.bd.a.109.7 | 56 | ||
192.77 | odd | 16 | 512.2.i.b.289.3 | 56 | |||
192.83 | even | 16 | 256.2.i.a.17.3 | 56 | |||
192.173 | odd | 16 | 64.2.i.a.45.1 | yes | 56 | ||
192.179 | even | 16 | 512.2.i.a.289.5 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
64.2.i.a.37.1 | ✓ | 56 | 3.2 | odd | 2 | ||
64.2.i.a.45.1 | yes | 56 | 192.173 | odd | 16 | ||
256.2.i.a.17.3 | 56 | 192.83 | even | 16 | |||
256.2.i.a.241.3 | 56 | 12.11 | even | 2 | |||
512.2.i.a.225.5 | 56 | 24.11 | even | 2 | |||
512.2.i.a.289.5 | 56 | 192.179 | even | 16 | |||
512.2.i.b.225.3 | 56 | 24.5 | odd | 2 | |||
512.2.i.b.289.3 | 56 | 192.77 | odd | 16 | |||
576.2.bd.a.37.7 | 56 | 1.1 | even | 1 | trivial | ||
576.2.bd.a.109.7 | 56 | 64.45 | even | 16 | inner |