Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,2,Mod(2,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([5, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.p (of order \(30\), 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: | \(0.790518980011\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 95.1 | ||
Character | \(\chi\) | \(=\) | 99.95 |
Dual form | 99.2.p.a.74.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.281588 | + | 2.67913i | −0.199113 | + | 1.89443i | 0.203518 | + | 0.979071i | \(0.434762\pi\) |
−0.402631 | + | 0.915362i | \(0.631904\pi\) | |||||||
\(3\) | 1.33430 | + | 1.10437i | 0.770360 | + | 0.637609i | ||||
\(4\) | −5.14217 | − | 1.09300i | −2.57109 | − | 0.546501i | ||||
\(5\) | 1.43896 | − | 0.151241i | 0.643523 | − | 0.0676370i | 0.222855 | − | 0.974852i | \(-0.428462\pi\) |
0.420668 | + | 0.907215i | \(0.361796\pi\) | |||||||
\(6\) | −3.33448 | + | 3.26380i | −1.36130 | + | 1.33244i | ||||
\(7\) | −1.07283 | − | 0.965979i | −0.405491 | − | 0.365106i | 0.441001 | − | 0.897506i | \(-0.354623\pi\) |
−0.846493 | + | 0.532401i | \(0.821290\pi\) | |||||||
\(8\) | 2.71136 | − | 8.34470i | 0.958610 | − | 2.95030i | ||||
\(9\) | 0.560727 | + | 2.94713i | 0.186909 | + | 0.982377i | ||||
\(10\) | 3.89775i | 1.23258i | ||||||||
\(11\) | 2.66871 | − | 1.96926i | 0.804646 | − | 0.593755i | ||||
\(12\) | −5.65413 | − | 7.13726i | −1.63221 | − | 2.06035i | ||||
\(13\) | −1.21080 | − | 2.71950i | −0.335815 | − | 0.754253i | −0.999978 | − | 0.00666518i | \(-0.997878\pi\) |
0.664163 | − | 0.747588i | \(-0.268788\pi\) | |||||||
\(14\) | 2.89008 | − | 2.60224i | 0.772407 | − | 0.695479i | ||||
\(15\) | 2.08703 | + | 1.38735i | 0.538870 | + | 0.358211i | ||||
\(16\) | 11.9880 | + | 5.33739i | 2.99699 | + | 1.33435i | ||||
\(17\) | −3.35854 | + | 2.44012i | −0.814566 | + | 0.591817i | −0.915151 | − | 0.403112i | \(-0.867929\pi\) |
0.100585 | + | 0.994928i | \(0.467929\pi\) | |||||||
\(18\) | −8.05365 | + | 0.672385i | −1.89826 | + | 0.158483i | ||||
\(19\) | −1.19136 | − | 0.387096i | −0.273317 | − | 0.0888059i | 0.169152 | − | 0.985590i | \(-0.445897\pi\) |
−0.442468 | + | 0.896784i | \(0.645897\pi\) | |||||||
\(20\) | −7.56469 | − | 0.795081i | −1.69152 | − | 0.177785i | ||||
\(21\) | −0.364678 | − | 2.47371i | −0.0795793 | − | 0.539808i | ||||
\(22\) | 4.52444 | + | 7.70435i | 0.964613 | + | 1.64257i | ||||
\(23\) | 5.02939 | + | 2.90372i | 1.04870 | + | 0.605467i | 0.922285 | − | 0.386511i | \(-0.126320\pi\) |
0.126414 | + | 0.991978i | \(0.459653\pi\) | |||||||
\(24\) | 12.8334 | − | 8.14001i | 2.61961 | − | 1.66157i | ||||
\(25\) | −2.84300 | + | 0.604299i | −0.568601 | + | 0.120860i | ||||
\(26\) | 7.62685 | − | 2.47811i | 1.49575 | − | 0.485998i | ||||
\(27\) | −2.50655 | + | 4.55162i | −0.482385 | + | 0.875959i | ||||
\(28\) | 4.46085 | + | 6.13983i | 0.843021 | + | 1.16032i | ||||
\(29\) | −0.0651453 | + | 0.0723511i | −0.0120972 | + | 0.0134353i | −0.749163 | − | 0.662386i | \(-0.769544\pi\) |
0.737066 | + | 0.675821i | \(0.236211\pi\) | |||||||
\(30\) | −4.30457 | + | 5.20078i | −0.785903 | + | 0.949529i | ||||
\(31\) | 3.73471 | − | 1.66280i | 0.670773 | − | 0.298647i | −0.0429482 | − | 0.999077i | \(-0.513675\pi\) |
0.713721 | + | 0.700430i | \(0.247008\pi\) | |||||||
\(32\) | −8.90112 | + | 15.4172i | −1.57351 | + | 2.72540i | ||||
\(33\) | 5.73566 | + | 0.319656i | 0.998451 | + | 0.0556450i | ||||
\(34\) | −5.59169 | − | 9.68509i | −0.958967 | − | 1.66098i | ||||
\(35\) | −1.68985 | − | 1.22775i | −0.285637 | − | 0.207528i | ||||
\(36\) | 0.337866 | − | 15.7675i | 0.0563111 | − | 2.62792i | ||||
\(37\) | −3.08635 | − | 9.49880i | −0.507392 | − | 1.56159i | −0.796711 | − | 0.604360i | \(-0.793429\pi\) |
0.289319 | − | 0.957233i | \(-0.406571\pi\) | |||||||
\(38\) | 1.37255 | − | 3.08281i | 0.222658 | − | 0.500098i | ||||
\(39\) | 1.38777 | − | 4.96581i | 0.222220 | − | 0.795166i | ||||
\(40\) | 2.63948 | − | 12.4178i | 0.417338 | − | 1.96342i | ||||
\(41\) | −3.05835 | − | 3.39664i | −0.477634 | − | 0.530466i | 0.455385 | − | 0.890295i | \(-0.349502\pi\) |
−0.933018 | + | 0.359829i | \(0.882835\pi\) | |||||||
\(42\) | 6.73009 | − | 0.280454i | 1.03848 | − | 0.0432749i | ||||
\(43\) | −1.84140 | + | 1.06313i | −0.280811 | + | 0.162126i | −0.633790 | − | 0.773505i | \(-0.718502\pi\) |
0.352980 | + | 0.935631i | \(0.385168\pi\) | |||||||
\(44\) | −15.8754 | + | 7.20937i | −2.39330 | + | 1.08685i | ||||
\(45\) | 1.25259 | + | 4.15600i | 0.186725 | + | 0.619540i | ||||
\(46\) | −9.19566 | + | 12.6567i | −1.35583 | + | 1.86614i | ||||
\(47\) | 1.50921 | + | 7.10026i | 0.220141 | + | 1.03568i | 0.939898 | + | 0.341454i | \(0.110920\pi\) |
−0.719758 | + | 0.694225i | \(0.755747\pi\) | |||||||
\(48\) | 10.1011 | + | 20.3609i | 1.45797 | + | 2.93884i | ||||
\(49\) | −0.513854 | − | 4.88899i | −0.0734077 | − | 0.698428i | ||||
\(50\) | −0.818442 | − | 7.78695i | −0.115745 | − | 1.10124i | ||||
\(51\) | −7.17611 | − | 0.453215i | −1.00486 | − | 0.0634627i | ||||
\(52\) | 3.25372 | + | 15.3075i | 0.451209 | + | 2.12277i | ||||
\(53\) | −0.197492 | + | 0.271824i | −0.0271276 | + | 0.0373379i | −0.822365 | − | 0.568960i | \(-0.807346\pi\) |
0.795238 | + | 0.606298i | \(0.207346\pi\) | |||||||
\(54\) | −11.4886 | − | 7.99706i | −1.56340 | − | 1.08826i | ||||
\(55\) | 3.54233 | − | 3.23731i | 0.477648 | − | 0.436518i | ||||
\(56\) | −10.9696 | + | 6.33332i | −1.46588 | + | 0.846325i | ||||
\(57\) | −1.16214 | − | 1.83221i | −0.153929 | − | 0.242682i | ||||
\(58\) | −0.175494 | − | 0.194906i | −0.0230435 | − | 0.0255924i | ||||
\(59\) | 0.629292 | − | 2.96059i | 0.0819268 | − | 0.385435i | −0.918011 | − | 0.396554i | \(-0.870206\pi\) |
0.999938 | + | 0.0111187i | \(0.00353925\pi\) | |||||||
\(60\) | −9.21552 | − | 9.41510i | −1.18972 | − | 1.21548i | ||||
\(61\) | 0.129468 | − | 0.290790i | 0.0165767 | − | 0.0372319i | −0.905067 | − | 0.425268i | \(-0.860180\pi\) |
0.921644 | + | 0.388036i | \(0.126846\pi\) | |||||||
\(62\) | 3.40321 | + | 10.4740i | 0.432208 | + | 1.33020i | ||||
\(63\) | 2.24530 | − | 3.70342i | 0.282882 | − | 0.466587i | ||||
\(64\) | −17.5657 | − | 12.7622i | −2.19571 | − | 1.59527i | ||||
\(65\) | −2.15359 | − | 3.73013i | −0.267120 | − | 0.462666i | ||||
\(66\) | −2.47150 | + | 15.2766i | −0.304220 | + | 1.88042i | ||||
\(67\) | −1.71828 | + | 2.97615i | −0.209922 | + | 0.363595i | −0.951690 | − | 0.307062i | \(-0.900654\pi\) |
0.741768 | + | 0.670657i | \(0.233988\pi\) | |||||||
\(68\) | 19.9373 | − | 8.87664i | 2.41775 | − | 1.07645i | ||||
\(69\) | 3.50394 | + | 9.42875i | 0.421825 | + | 1.13509i | ||||
\(70\) | 3.76515 | − | 4.18162i | 0.450021 | − | 0.499799i | ||||
\(71\) | −5.38901 | − | 7.41734i | −0.639558 | − | 0.880276i | 0.359034 | − | 0.933325i | \(-0.383106\pi\) |
−0.998592 | + | 0.0530483i | \(0.983106\pi\) | |||||||
\(72\) | 26.1133 | + | 3.31163i | 3.07748 | + | 0.390279i | ||||
\(73\) | −6.75113 | + | 2.19358i | −0.790160 | + | 0.256739i | −0.676172 | − | 0.736743i | \(-0.736363\pi\) |
−0.113988 | + | 0.993482i | \(0.536363\pi\) | |||||||
\(74\) | 26.3176 | − | 5.59399i | 3.05936 | − | 0.650288i | ||||
\(75\) | −4.46080 | − | 2.33342i | −0.515089 | − | 0.269440i | ||||
\(76\) | 5.70308 | + | 3.29267i | 0.654188 | + | 0.377695i | ||||
\(77\) | −4.76533 | − | 0.465238i | −0.543060 | − | 0.0530188i | ||||
\(78\) | 12.9133 | + | 5.11632i | 1.46214 | + | 0.579309i | ||||
\(79\) | 9.96549 | + | 1.04742i | 1.12121 | + | 0.117843i | 0.646942 | − | 0.762539i | \(-0.276048\pi\) |
0.474264 | + | 0.880383i | \(0.342714\pi\) | |||||||
\(80\) | 18.0574 | + | 5.86722i | 2.01888 | + | 0.655975i | ||||
\(81\) | −8.37117 | + | 3.30507i | −0.930130 | + | 0.367230i | ||||
\(82\) | 9.96124 | − | 7.23727i | 1.10004 | − | 0.799222i | ||||
\(83\) | 5.44872 | + | 2.42593i | 0.598075 | + | 0.266280i | 0.683366 | − | 0.730076i | \(-0.260515\pi\) |
−0.0852911 | + | 0.996356i | \(0.527182\pi\) | |||||||
\(84\) | −0.828533 | + | 13.1188i | −0.0904004 | + | 1.43138i | ||||
\(85\) | −4.46376 | + | 4.01919i | −0.484163 | + | 0.435942i | ||||
\(86\) | −2.32976 | − | 5.23272i | −0.251224 | − | 0.564259i | ||||
\(87\) | −0.166826 | + | 0.0245938i | −0.0178856 | + | 0.00263673i | ||||
\(88\) | −9.19707 | − | 27.6090i | −0.980411 | − | 2.94312i | ||||
\(89\) | 5.11584i | 0.542278i | 0.962540 | + | 0.271139i | \(0.0874004\pi\) | ||||
−0.962540 | + | 0.271139i | \(0.912600\pi\) | |||||||
\(90\) | −11.4872 | + | 2.18558i | −1.21086 | + | 0.230380i | ||||
\(91\) | −1.32800 | + | 4.08716i | −0.139212 | + | 0.428451i | ||||
\(92\) | −22.6882 | − | 20.4285i | −2.36541 | − | 2.12982i | ||||
\(93\) | 6.81957 | + | 1.90583i | 0.707157 | + | 0.197625i | ||||
\(94\) | −19.4475 | + | 2.04402i | −2.00586 | + | 0.210824i | ||||
\(95\) | −1.77286 | − | 0.376834i | −0.181892 | − | 0.0386623i | ||||
\(96\) | −28.9031 | + | 10.7411i | −2.94991 | + | 1.09625i | ||||
\(97\) | −0.631450 | + | 6.00784i | −0.0641140 | + | 0.610004i | 0.914541 | + | 0.404493i | \(0.132552\pi\) |
−0.978655 | + | 0.205511i | \(0.934114\pi\) | |||||||
\(98\) | 13.2430 | 1.33774 | ||||||||
\(99\) | 7.30009 | + | 6.76082i | 0.733687 | + | 0.679488i | ||||
\(100\) | 15.2797 | 1.52797 | ||||||||
\(101\) | −1.21696 | + | 11.5786i | −0.121092 | + | 1.15211i | 0.750154 | + | 0.661263i | \(0.229979\pi\) |
−0.871246 | + | 0.490847i | \(0.836687\pi\) | |||||||
\(102\) | 3.23493 | − | 19.0981i | 0.320306 | − | 1.89100i | ||||
\(103\) | 3.27668 | + | 0.696481i | 0.322861 | + | 0.0686263i | 0.366491 | − | 0.930421i | \(-0.380559\pi\) |
−0.0436300 | + | 0.999048i | \(0.513892\pi\) | |||||||
\(104\) | −25.9763 | + | 2.73022i | −2.54719 | + | 0.267720i | ||||
\(105\) | −0.898883 | − | 3.50442i | −0.0877220 | − | 0.341996i | ||||
\(106\) | −0.672642 | − | 0.605650i | −0.0653328 | − | 0.0588259i | ||||
\(107\) | −2.92166 | + | 8.99195i | −0.282448 | + | 0.869285i | 0.704704 | + | 0.709501i | \(0.251080\pi\) |
−0.987152 | + | 0.159784i | \(0.948920\pi\) | |||||||
\(108\) | 17.8640 | − | 20.6655i | 1.71897 | − | 1.98854i | ||||
\(109\) | 4.11325i | 0.393978i | 0.980406 | + | 0.196989i | \(0.0631163\pi\) | ||||
−0.980406 | + | 0.196989i | \(0.936884\pi\) | |||||||
\(110\) | 7.67570 | + | 10.4020i | 0.731849 | + | 0.991789i | ||||
\(111\) | 6.37208 | − | 16.0828i | 0.604811 | − | 1.52651i | ||||
\(112\) | −7.70523 | − | 17.3062i | −0.728076 | − | 1.63529i | ||||
\(113\) | −15.0282 | + | 13.5315i | −1.41374 | + | 1.27293i | −0.500359 | + | 0.865818i | \(0.666799\pi\) |
−0.913377 | + | 0.407116i | \(0.866535\pi\) | |||||||
\(114\) | 5.23597 | − | 2.59759i | 0.490394 | − | 0.243287i | ||||
\(115\) | 7.67625 | + | 3.41769i | 0.715814 | + | 0.318701i | ||||
\(116\) | 0.414068 | − | 0.300838i | 0.0384452 | − | 0.0279321i | ||||
\(117\) | 7.33579 | − | 5.09328i | 0.678194 | − | 0.470874i | ||||
\(118\) | 7.75460 | + | 2.51962i | 0.713869 | + | 0.231950i | ||||
\(119\) | 5.96025 | + | 0.626447i | 0.546375 | + | 0.0574263i | ||||
\(120\) | 17.2357 | − | 13.6541i | 1.57340 | − | 1.24644i | ||||
\(121\) | 3.24402 | − | 10.5108i | 0.294911 | − | 0.955525i | ||||
\(122\) | 0.742609 | + | 0.428746i | 0.0672327 | + | 0.0388168i | ||||
\(123\) | −0.329610 | − | 7.90969i | −0.0297199 | − | 0.713193i | ||||
\(124\) | −21.0219 | + | 4.46835i | −1.88783 | + | 0.401270i | ||||
\(125\) | −10.8799 | + | 3.53510i | −0.973131 | + | 0.316189i | ||||
\(126\) | 9.28970 | + | 7.05831i | 0.827592 | + | 0.628804i | ||||
\(127\) | −0.0604870 | − | 0.0832533i | −0.00536736 | − | 0.00738753i | 0.806325 | − | 0.591473i | \(-0.201453\pi\) |
−0.811692 | + | 0.584085i | \(0.801453\pi\) | |||||||
\(128\) | 15.3139 | − | 17.0078i | 1.35357 | − | 1.50329i | ||||
\(129\) | −3.63108 | − | 0.615048i | −0.319698 | − | 0.0541520i | ||||
\(130\) | 10.5999 | − | 4.71940i | 0.929676 | − | 0.413919i | ||||
\(131\) | 7.68267 | − | 13.3068i | 0.671238 | − | 1.16262i | −0.306315 | − | 0.951930i | \(-0.599096\pi\) |
0.977553 | − | 0.210689i | \(-0.0675706\pi\) | |||||||
\(132\) | −29.1444 | − | 7.91282i | −2.53669 | − | 0.688722i | ||||
\(133\) | 0.904197 | + | 1.56612i | 0.0784039 | + | 0.135799i | ||||
\(134\) | −7.48966 | − | 5.44156i | −0.647008 | − | 0.470079i | ||||
\(135\) | −2.91843 | + | 6.92869i | −0.251179 | + | 0.596327i | ||||
\(136\) | 11.2559 | + | 34.6421i | 0.965185 | + | 2.97053i | ||||
\(137\) | −1.51448 | + | 3.40157i | −0.129391 | + | 0.290616i | −0.966610 | − | 0.256250i | \(-0.917513\pi\) |
0.837220 | + | 0.546867i | \(0.184179\pi\) | |||||||
\(138\) | −26.2475 | + | 6.73250i | −2.23434 | + | 0.573108i | ||||
\(139\) | −3.53785 | + | 16.6443i | −0.300077 | + | 1.41175i | 0.527097 | + | 0.849805i | \(0.323280\pi\) |
−0.827174 | + | 0.561945i | \(0.810053\pi\) | |||||||
\(140\) | 7.34758 | + | 8.16031i | 0.620984 | + | 0.689672i | ||||
\(141\) | −5.82759 | + | 11.1406i | −0.490771 | + | 0.938210i | ||||
\(142\) | 21.3895 | − | 12.3492i | 1.79497 | − | 1.03633i | ||||
\(143\) | −8.58668 | − | 4.87317i | −0.718054 | − | 0.407515i | ||||
\(144\) | −9.00801 | + | 38.3230i | −0.750667 | + | 3.19358i | ||||
\(145\) | −0.0827990 | + | 0.113963i | −0.00687608 | + | 0.00946412i | ||||
\(146\) | −3.97584 | − | 18.7049i | −0.329043 | − | 1.54803i | ||||
\(147\) | 4.71363 | − | 7.09088i | 0.388774 | − | 0.584846i | ||||
\(148\) | 5.48832 | + | 52.2178i | 0.451137 | + | 4.29228i | ||||
\(149\) | −1.19705 | − | 11.3892i | −0.0980665 | − | 0.933040i | −0.927346 | − | 0.374206i | \(-0.877915\pi\) |
0.829279 | − | 0.558834i | \(-0.188751\pi\) | |||||||
\(150\) | 7.50764 | − | 11.2940i | 0.612996 | − | 0.922153i | ||||
\(151\) | −0.221010 | − | 1.03977i | −0.0179855 | − | 0.0846153i | 0.968239 | − | 0.250025i | \(-0.0804388\pi\) |
−0.986225 | + | 0.165409i | \(0.947105\pi\) | |||||||
\(152\) | −6.46040 | + | 8.89198i | −0.524008 | + | 0.721235i | ||||
\(153\) | −9.07459 | − | 8.52982i | −0.733637 | − | 0.689595i | ||||
\(154\) | 2.58830 | − | 12.6360i | 0.208571 | − | 1.01823i | ||||
\(155\) | 5.12261 | − | 2.95754i | 0.411458 | − | 0.237555i | ||||
\(156\) | −12.5638 | + | 24.0182i | −1.00591 | + | 1.92299i | ||||
\(157\) | −0.0571368 | − | 0.0634569i | −0.00456002 | − | 0.00506441i | 0.740861 | − | 0.671659i | \(-0.234418\pi\) |
−0.745421 | + | 0.666595i | \(0.767751\pi\) | |||||||
\(158\) | −5.61233 | + | 26.4039i | −0.446493 | + | 2.10058i | ||||
\(159\) | −0.563709 | + | 0.144591i | −0.0447050 | + | 0.0114668i | ||||
\(160\) | −10.4766 | + | 23.5309i | −0.828252 | + | 1.86028i | ||||
\(161\) | −2.59074 | − | 7.97347i | −0.204179 | − | 0.628398i | ||||
\(162\) | −6.49751 | − | 23.3582i | −0.510493 | − | 1.83519i | ||||
\(163\) | −2.37021 | − | 1.72206i | −0.185650 | − | 0.134882i | 0.491079 | − | 0.871115i | \(-0.336603\pi\) |
−0.676728 | + | 0.736233i | \(0.736603\pi\) | |||||||
\(164\) | 12.0140 | + | 20.8089i | 0.938136 | + | 1.62490i | ||||
\(165\) | 8.30174 | − | 0.407494i | 0.646289 | − | 0.0317233i | ||||
\(166\) | −8.03368 | + | 13.9147i | −0.623534 | + | 1.07999i | ||||
\(167\) | 4.06863 | − | 1.81147i | 0.314840 | − | 0.140176i | −0.243233 | − | 0.969968i | \(-0.578208\pi\) |
0.558072 | + | 0.829792i | \(0.311541\pi\) | |||||||
\(168\) | −21.6311 | − | 3.66398i | −1.66888 | − | 0.282682i | ||||
\(169\) | 2.76906 | − | 3.07535i | 0.213004 | − | 0.236565i | ||||
\(170\) | −9.51100 | − | 13.0908i | −0.729461 | − | 1.00402i | ||||
\(171\) | 0.472796 | − | 3.72815i | 0.0361556 | − | 0.285099i | ||||
\(172\) | 10.6308 | − | 3.45415i | 0.810590 | − | 0.263377i | ||||
\(173\) | −10.2220 | + | 2.17276i | −0.777166 | + | 0.165192i | −0.579384 | − | 0.815055i | \(-0.696707\pi\) |
−0.197781 | + | 0.980246i | \(0.563374\pi\) | |||||||
\(174\) | −0.0189137 | − | 0.453875i | −0.00143384 | − | 0.0344081i | ||||
\(175\) | 3.63380 | + | 2.09797i | 0.274689 | + | 0.158592i | ||||
\(176\) | 42.5031 | − | 9.36351i | 3.20379 | − | 0.705801i | ||||
\(177\) | 4.10925 | − | 3.25535i | 0.308870 | − | 0.244687i | ||||
\(178\) | −13.7060 | − | 1.44056i | −1.02731 | − | 0.107975i | ||||
\(179\) | 9.58188 | + | 3.11334i | 0.716183 | + | 0.232702i | 0.644368 | − | 0.764716i | \(-0.277121\pi\) |
0.0718157 | + | 0.997418i | \(0.477121\pi\) | |||||||
\(180\) | −1.89852 | − | 22.7399i | −0.141507 | − | 1.69494i | ||||
\(181\) | 12.5433 | − | 9.11327i | 0.932339 | − | 0.677384i | −0.0142256 | − | 0.999899i | \(-0.504528\pi\) |
0.946564 | + | 0.322515i | \(0.104528\pi\) | |||||||
\(182\) | −10.5761 | − | 4.70879i | −0.783953 | − | 0.349038i | ||||
\(183\) | 0.493890 | − | 0.245021i | 0.0365094 | − | 0.0181125i | ||||
\(184\) | 37.8671 | − | 34.0957i | 2.79160 | − | 2.51357i | ||||
\(185\) | −5.87774 | − | 13.2016i | −0.432140 | − | 0.970602i | ||||
\(186\) | −7.02628 | + | 17.7339i | −0.515192 | + | 1.30031i | ||||
\(187\) | −4.15773 | + | 13.1258i | −0.304043 | + | 0.959855i | ||||
\(188\) | − | 38.1603i | − | 2.78313i | ||||||
\(189\) | 7.08586 | − | 2.46183i | 0.515421 | − | 0.179072i | ||||
\(190\) | 1.50881 | − | 4.64363i | 0.109460 | − | 0.336884i | ||||
\(191\) | 2.76063 | + | 2.48568i | 0.199752 | + | 0.179857i | 0.762936 | − | 0.646474i | \(-0.223757\pi\) |
−0.563184 | + | 0.826331i | \(0.690424\pi\) | |||||||
\(192\) | −9.34369 | − | 36.4276i | −0.674323 | − | 2.62894i | ||||
\(193\) | 24.8007 | − | 2.60666i | 1.78519 | − | 0.187631i | 0.846501 | − | 0.532387i | \(-0.178705\pi\) |
0.938692 | + | 0.344756i | \(0.112038\pi\) | |||||||
\(194\) | −15.9180 | − | 3.38348i | −1.14285 | − | 0.242919i | ||||
\(195\) | 1.24591 | − | 7.35549i | 0.0892212 | − | 0.526737i | ||||
\(196\) | −2.70136 | + | 25.7017i | −0.192954 | + | 1.83583i | ||||
\(197\) | 19.2214 | 1.36947 | 0.684733 | − | 0.728794i | \(-0.259919\pi\) | ||||
0.684733 | + | 0.728794i | \(0.259919\pi\) | |||||||
\(198\) | −20.1688 | + | 17.6541i | −1.43333 | + | 1.25463i | ||||
\(199\) | −26.0126 | −1.84399 | −0.921993 | − | 0.387206i | \(-0.873440\pi\) | ||||
−0.921993 | + | 0.387206i | \(0.873440\pi\) | |||||||
\(200\) | −2.66571 | + | 25.3625i | −0.188494 | + | 1.79340i | ||||
\(201\) | −5.57949 | + | 2.07347i | −0.393547 | + | 0.146251i | ||||
\(202\) | −30.6778 | − | 6.52077i | −2.15848 | − | 0.458800i | ||||
\(203\) | 0.139779 | − | 0.0146914i | 0.00981059 | − | 0.00103113i | ||||
\(204\) | 36.4054 | + | 10.1740i | 2.54889 | + | 0.712323i | ||||
\(205\) | −4.91455 | − | 4.42508i | −0.343247 | − | 0.309061i | ||||
\(206\) | −2.78864 | + | 8.58255i | −0.194294 | + | 0.597975i | ||||
\(207\) | −5.73752 | + | 16.4505i | −0.398785 | + | 1.14339i | ||||
\(208\) | − | 39.0638i | − | 2.70859i | ||||||
\(209\) | −3.94168 | + | 1.31305i | −0.272652 | + | 0.0908256i | ||||
\(210\) | 9.64191 | − | 1.42143i | 0.665355 | − | 0.0980877i | ||||
\(211\) | −9.24806 | − | 20.7715i | −0.636663 | − | 1.42997i | −0.886982 | − | 0.461804i | \(-0.847202\pi\) |
0.250319 | − | 0.968163i | \(-0.419464\pi\) | |||||||
\(212\) | 1.31264 | − | 1.18191i | 0.0901526 | − | 0.0811737i | ||||
\(213\) | 1.00092 | − | 15.8484i | 0.0685822 | − | 1.08592i | ||||
\(214\) | −23.2679 | − | 10.3596i | −1.59056 | − | 0.708165i | ||||
\(215\) | −2.48891 | + | 1.80830i | −0.169742 | + | 0.123325i | ||||
\(216\) | 31.1857 | + | 33.2575i | 2.12192 | + | 2.26288i | ||||
\(217\) | −5.61293 | − | 1.82375i | −0.381030 | − | 0.123804i | ||||
\(218\) | −11.0199 | − | 1.15824i | −0.746365 | − | 0.0784461i | ||||
\(219\) | −11.4306 | − | 4.52886i | −0.772407 | − | 0.306032i | ||||
\(220\) | −21.7537 | + | 12.7750i | −1.46663 | + | 0.861291i | ||||
\(221\) | 10.7024 | + | 6.17905i | 0.719923 | + | 0.415648i | ||||
\(222\) | 41.2935 | + | 21.6004i | 2.77144 | + | 1.44972i | ||||
\(223\) | 22.2512 | − | 4.72965i | 1.49005 | − | 0.316721i | 0.610308 | − | 0.792164i | \(-0.291046\pi\) |
0.879746 | + | 0.475444i | \(0.157712\pi\) | |||||||
\(224\) | 24.4421 | − | 7.94170i | 1.63310 | − | 0.530627i | ||||
\(225\) | −3.37510 | − | 8.03986i | −0.225007 | − | 0.535991i | ||||
\(226\) | −32.0208 | − | 44.0729i | −2.13000 | − | 2.93169i | ||||
\(227\) | 5.43847 | − | 6.04004i | 0.360964 | − | 0.400891i | −0.535120 | − | 0.844776i | \(-0.679733\pi\) |
0.896084 | + | 0.443885i | \(0.146400\pi\) | |||||||
\(228\) | 3.97330 | + | 10.6917i | 0.263138 | + | 0.708077i | ||||
\(229\) | 12.4183 | − | 5.52899i | 0.820625 | − | 0.365366i | 0.0469095 | − | 0.998899i | \(-0.485063\pi\) |
0.773715 | + | 0.633533i | \(0.218396\pi\) | |||||||
\(230\) | −11.3180 | + | 19.6033i | −0.746285 | + | 1.29260i | ||||
\(231\) | −5.84460 | − | 5.88347i | −0.384546 | − | 0.387104i | ||||
\(232\) | 0.427117 | + | 0.739788i | 0.0280416 | + | 0.0485694i | ||||
\(233\) | 4.09157 | + | 2.97270i | 0.268048 | + | 0.194748i | 0.713687 | − | 0.700464i | \(-0.247024\pi\) |
−0.445640 | + | 0.895212i | \(0.647024\pi\) | |||||||
\(234\) | 11.5799 | + | 21.0878i | 0.757002 | + | 1.37855i | ||||
\(235\) | 3.24554 | + | 9.98874i | 0.211716 | + | 0.651594i | ||||
\(236\) | −6.47185 | + | 14.5360i | −0.421282 | + | 0.946214i | ||||
\(237\) | 12.1402 | + | 12.4032i | 0.788594 | + | 0.805673i | ||||
\(238\) | −3.35667 | + | 15.7919i | −0.217581 | + | 1.02364i | ||||
\(239\) | 13.4937 | + | 14.9862i | 0.872832 | + | 0.969378i | 0.999746 | − | 0.0225358i | \(-0.00717397\pi\) |
−0.126914 | + | 0.991914i | \(0.540507\pi\) | |||||||
\(240\) | 17.6145 | + | 27.7708i | 1.13701 | + | 1.79260i | ||||
\(241\) | −24.5094 | + | 14.1505i | −1.57879 | + | 0.911516i | −0.583764 | + | 0.811923i | \(0.698421\pi\) |
−0.995028 | + | 0.0995930i | \(0.968246\pi\) | |||||||
\(242\) | 27.2463 | + | 11.6509i | 1.75146 | + | 0.748947i | ||||
\(243\) | −14.8197 | − | 4.83491i | −0.950684 | − | 0.310160i | ||||
\(244\) | −0.983581 | + | 1.35378i | −0.0629674 | + | 0.0866671i | ||||
\(245\) | −1.47883 | − | 6.95735i | −0.0944790 | − | 0.444489i | ||||
\(246\) | 21.2839 | + | 1.34421i | 1.35701 | + | 0.0857036i | ||||
\(247\) | 0.389789 | + | 3.70860i | 0.0248017 | + | 0.235972i | ||||
\(248\) | −3.74943 | − | 35.6734i | −0.238089 | − | 2.26527i | ||||
\(249\) | 4.59112 | + | 9.25433i | 0.290950 | + | 0.586469i | ||||
\(250\) | −6.40735 | − | 30.1442i | −0.405237 | − | 1.90649i | ||||
\(251\) | 13.7475 | − | 18.9219i | 0.867737 | − | 1.19434i | −0.111931 | − | 0.993716i | \(-0.535704\pi\) |
0.979669 | − | 0.200622i | \(-0.0642964\pi\) | |||||||
\(252\) | −15.5936 | + | 16.5895i | −0.982303 | + | 1.04504i | ||||
\(253\) | 19.1401 | − | 2.15500i | 1.20333 | − | 0.135483i | ||||
\(254\) | 0.240079 | − | 0.138610i | 0.0150639 | − | 0.00869715i | ||||
\(255\) | −10.3947 | + | 0.433163i | −0.650941 | + | 0.0271257i | ||||
\(256\) | 12.1971 | + | 13.5463i | 0.762319 | + | 0.846641i | ||||
\(257\) | 0.0865878 | − | 0.407364i | 0.00540120 | − | 0.0254106i | −0.975364 | − | 0.220599i | \(-0.929199\pi\) |
0.980766 | + | 0.195189i | \(0.0625320\pi\) | |||||||
\(258\) | 2.67027 | − | 9.55495i | 0.166243 | − | 0.594865i | ||||
\(259\) | −5.86452 | + | 13.1719i | −0.364404 | + | 0.818464i | ||||
\(260\) | 6.99709 | + | 21.5348i | 0.433941 | + | 1.33553i | ||||
\(261\) | −0.249757 | − | 0.151422i | −0.0154596 | − | 0.00937281i | ||||
\(262\) | 33.4873 | + | 24.3299i | 2.06885 | + | 1.50311i | ||||
\(263\) | −14.0588 | − | 24.3505i | −0.866902 | − | 1.50152i | −0.865146 | − | 0.501520i | \(-0.832774\pi\) |
−0.00175644 | − | 0.999998i | \(-0.500559\pi\) | |||||||
\(264\) | 18.2189 | − | 46.9957i | 1.12129 | − | 2.89238i | ||||
\(265\) | −0.243072 | + | 0.421013i | −0.0149318 | + | 0.0258626i | ||||
\(266\) | −4.45045 | + | 1.98147i | −0.272874 | + | 0.121491i | ||||
\(267\) | −5.64979 | + | 6.82609i | −0.345762 | + | 0.417750i | ||||
\(268\) | 12.0886 | − | 13.4258i | 0.738431 | − | 0.820111i | ||||
\(269\) | 7.97137 | + | 10.9716i | 0.486023 | + | 0.668953i | 0.979648 | − | 0.200721i | \(-0.0643286\pi\) |
−0.493625 | + | 0.869675i | \(0.664329\pi\) | |||||||
\(270\) | −17.7411 | − | 9.76991i | −1.07969 | − | 0.594578i | ||||
\(271\) | −10.5963 | + | 3.44294i | −0.643678 | + | 0.209144i | −0.612624 | − | 0.790374i | \(-0.709886\pi\) |
−0.0310533 | + | 0.999518i | \(0.509886\pi\) | |||||||
\(272\) | −53.2860 | + | 11.3263i | −3.23094 | + | 0.686757i | ||||
\(273\) | −6.28570 | + | 3.98691i | −0.380428 | + | 0.241299i | ||||
\(274\) | −8.68681 | − | 5.01533i | −0.524789 | − | 0.302987i | ||||
\(275\) | −6.39713 | + | 7.21132i | −0.385762 | + | 0.434859i | ||||
\(276\) | −7.71222 | − | 52.3140i | −0.464221 | − | 3.14894i | ||||
\(277\) | 9.73067 | + | 1.02273i | 0.584659 | + | 0.0614502i | 0.392240 | − | 0.919863i | \(-0.371700\pi\) |
0.192419 | + | 0.981313i | \(0.438367\pi\) | |||||||
\(278\) | −43.5961 | − | 14.1652i | −2.61472 | − | 0.849573i | ||||
\(279\) | 6.99464 | + | 10.0743i | 0.418758 | + | 0.603132i | ||||
\(280\) | −14.8270 | + | 10.7724i | −0.886083 | + | 0.643777i | ||||
\(281\) | 11.1314 | + | 4.95603i | 0.664046 | + | 0.295652i | 0.710945 | − | 0.703247i | \(-0.248267\pi\) |
−0.0468995 | + | 0.998900i | \(0.514934\pi\) | |||||||
\(282\) | −28.2062 | − | 18.7500i | −1.67966 | − | 1.11654i | ||||
\(283\) | −11.4395 | + | 10.3001i | −0.680006 | + | 0.612280i | −0.934994 | − | 0.354664i | \(-0.884595\pi\) |
0.254988 | + | 0.966944i | \(0.417928\pi\) | |||||||
\(284\) | 19.6041 | + | 44.0314i | 1.16329 | + | 2.61278i | ||||
\(285\) | −1.94937 | − | 2.46071i | −0.115471 | − | 0.145760i | ||||
\(286\) | 15.4738 | − | 21.6326i | 0.914984 | − | 1.27916i | ||||
\(287\) | 6.59831i | 0.389486i | ||||||||
\(288\) | −50.4276 | − | 17.5879i | −2.97147 | − | 1.03638i | ||||
\(289\) | 0.0723102 | − | 0.222548i | 0.00425354 | − | 0.0130911i | ||||
\(290\) | −0.282007 | − | 0.253920i | −0.0165600 | − | 0.0149107i | ||||
\(291\) | −7.47744 | + | 7.31893i | −0.438335 | + | 0.429043i | ||||
\(292\) | 37.1131 | − | 3.90074i | 2.17188 | − | 0.228274i | ||||
\(293\) | 26.6244 | + | 5.65919i | 1.55541 | + | 0.330613i | 0.903806 | − | 0.427943i | \(-0.140761\pi\) |
0.651608 | + | 0.758556i | \(0.274095\pi\) | |||||||
\(294\) | 17.6701 | + | 14.6252i | 1.03054 | + | 0.852956i | ||||
\(295\) | 0.457765 | − | 4.35534i | 0.0266521 | − | 0.253578i | ||||
\(296\) | −87.6328 | −5.09356 | ||||||||
\(297\) | 2.27407 | + | 17.0830i | 0.131955 | + | 0.991256i | ||||
\(298\) | 30.8503 | 1.78711 | ||||||||
\(299\) | 1.80708 | − | 17.1932i | 0.104506 | − | 0.994310i | ||||
\(300\) | 20.3878 | + | 16.8745i | 1.17709 | + | 0.974249i | ||||
\(301\) | 3.00247 | + | 0.638194i | 0.173059 | + | 0.0367849i | ||||
\(302\) | 2.84792 | − | 0.299328i | 0.163879 | − | 0.0172244i | ||||
\(303\) | −14.4108 | + | 14.1053i | −0.827880 | + | 0.810330i | ||||
\(304\) | −12.2159 | − | 10.9992i | −0.700630 | − | 0.630850i | ||||
\(305\) | 0.142320 | − | 0.438016i | 0.00814923 | − | 0.0250807i | ||||
\(306\) | 25.4078 | − | 21.9101i | 1.45247 | − | 1.25252i | ||||
\(307\) | 31.0795i | 1.77380i | 0.461960 | + | 0.886901i | \(0.347146\pi\) | ||||
−0.461960 | + | 0.886901i | \(0.652854\pi\) | |||||||
\(308\) | 23.9956 | + | 7.60085i | 1.36728 | + | 0.433099i | ||||
\(309\) | 3.60291 | + | 4.54799i | 0.204963 | + | 0.258726i | ||||
\(310\) | 6.48118 | + | 14.5570i | 0.368106 | + | 0.826780i | ||||
\(311\) | 4.24667 | − | 3.82372i | 0.240807 | − | 0.216823i | −0.539886 | − | 0.841738i | \(-0.681533\pi\) |
0.780693 | + | 0.624914i | \(0.214866\pi\) | |||||||
\(312\) | −37.6754 | − | 25.0446i | −2.13295 | − | 1.41787i | ||||
\(313\) | −24.1472 | − | 10.7510i | −1.36488 | − | 0.607685i | −0.412044 | − | 0.911164i | \(-0.635185\pi\) |
−0.952838 | + | 0.303479i | \(0.901852\pi\) | |||||||
\(314\) | 0.186099 | − | 0.135209i | 0.0105021 | − | 0.00763026i | ||||
\(315\) | 2.67079 | − | 5.66865i | 0.150482 | − | 0.319392i | ||||
\(316\) | −50.0994 | − | 16.2783i | −2.81831 | − | 0.915725i | ||||
\(317\) | −1.96901 | − | 0.206952i | −0.110591 | − | 0.0116236i | 0.0490713 | − | 0.998795i | \(-0.484374\pi\) |
−0.159662 | + | 0.987172i | \(0.551040\pi\) | |||||||
\(318\) | −0.228646 | − | 1.55097i | −0.0128218 | − | 0.0869739i | ||||
\(319\) | −0.0313755 | + | 0.321372i | −0.00175669 | + | 0.0179934i | ||||
\(320\) | −27.2064 | − | 15.7076i | −1.52089 | − | 0.878084i | ||||
\(321\) | −13.8288 | + | 8.77139i | −0.771851 | + | 0.489571i | ||||
\(322\) | 22.0915 | − | 4.69570i | 1.23111 | − | 0.261681i | ||||
\(323\) | 4.94579 | − | 1.60698i | 0.275191 | − | 0.0894150i | ||||
\(324\) | 46.6584 | − | 7.84554i | 2.59214 | − | 0.435864i | ||||
\(325\) | 5.08570 | + | 6.99986i | 0.282104 | + | 0.388283i | ||||
\(326\) | 5.28106 | − | 5.86521i | 0.292491 | − | 0.324844i | ||||
\(327\) | −4.54256 | + | 5.48832i | −0.251204 | + | 0.303505i | ||||
\(328\) | −36.6362 | + | 16.3115i | −2.02290 | + | 0.900651i | ||||
\(329\) | 5.23958 | − | 9.07523i | 0.288868 | − | 0.500333i | ||||
\(330\) | −1.24594 | + | 22.3562i | −0.0685868 | + | 1.23067i | ||||
\(331\) | 2.03858 | + | 3.53093i | 0.112051 | + | 0.194078i | 0.916597 | − | 0.399812i | \(-0.130925\pi\) |
−0.804546 | + | 0.593890i | \(0.797591\pi\) | |||||||
\(332\) | −25.3667 | − | 18.4300i | −1.39218 | − | 1.01148i | ||||
\(333\) | 26.2636 | − | 14.4221i | 1.43924 | − | 0.790327i | ||||
\(334\) | 3.70749 | + | 11.4105i | 0.202865 | + | 0.624354i | ||||
\(335\) | −2.02242 | + | 4.54244i | −0.110497 | + | 0.248180i | ||||
\(336\) | 8.83140 | − | 31.6012i | 0.481792 | − | 1.72399i | ||||
\(337\) | 5.93123 | − | 27.9042i | 0.323095 | − | 1.52004i | −0.454198 | − | 0.890901i | \(-0.650074\pi\) |
0.777292 | − | 0.629140i | \(-0.216593\pi\) | |||||||
\(338\) | 7.45954 | + | 8.28465i | 0.405745 | + | 0.450626i | ||||
\(339\) | −34.9960 | + | 1.45834i | −1.90072 | + | 0.0792061i | ||||
\(340\) | 27.3464 | − | 15.7885i | 1.48307 | − | 0.856249i | ||||
\(341\) | 6.69236 | − | 11.7921i | 0.362412 | − | 0.638580i | ||||
\(342\) | 9.85507 | + | 2.31649i | 0.532901 | + | 0.125261i | ||||
\(343\) | −10.1112 | + | 13.9169i | −0.545954 | + | 0.751441i | ||||
\(344\) | 3.87883 | + | 18.2484i | 0.209132 | + | 0.983890i | ||||
\(345\) | 6.46804 | + | 13.0377i | 0.348228 | + | 0.701924i | ||||
\(346\) | −2.94271 | − | 27.9980i | −0.158201 | − | 1.50518i | ||||
\(347\) | 1.08070 | + | 10.2822i | 0.0580151 | + | 0.551976i | 0.984468 | + | 0.175565i | \(0.0561753\pi\) |
−0.926453 | + | 0.376411i | \(0.877158\pi\) | |||||||
\(348\) | 0.884729 | + | 0.0558759i | 0.0474265 | + | 0.00299527i | ||||
\(349\) | −3.83672 | − | 18.0504i | −0.205375 | − | 0.966213i | −0.953205 | − | 0.302324i | \(-0.902238\pi\) |
0.747830 | − | 0.663890i | \(-0.231096\pi\) | |||||||
\(350\) | −6.64399 | + | 9.14466i | −0.355136 | + | 0.488803i | ||||
\(351\) | 15.4130 | + | 1.30546i | 0.822687 | + | 0.0696805i | ||||
\(352\) | 6.60597 | + | 58.6726i | 0.352100 | + | 3.12726i | ||||
\(353\) | −11.5976 | + | 6.69588i | −0.617279 | + | 0.356386i | −0.775809 | − | 0.630968i | \(-0.782658\pi\) |
0.158530 | + | 0.987354i | \(0.449324\pi\) | |||||||
\(354\) | 7.56439 | + | 11.9259i | 0.402043 | + | 0.633855i | ||||
\(355\) | −8.87638 | − | 9.85822i | −0.471109 | − | 0.523220i | ||||
\(356\) | 5.59163 | − | 26.3065i | 0.296356 | − | 1.39424i | ||||
\(357\) | 7.26094 | + | 7.41820i | 0.384290 | + | 0.392613i | ||||
\(358\) | −11.0392 | + | 24.7945i | −0.583440 | + | 1.31043i | ||||
\(359\) | 1.92854 | + | 5.93545i | 0.101785 | + | 0.313261i | 0.988962 | − | 0.148167i | \(-0.0473373\pi\) |
−0.887178 | + | 0.461428i | \(0.847337\pi\) | |||||||
\(360\) | 38.0768 | + | 0.815909i | 2.00682 | + | 0.0430022i | ||||
\(361\) | −14.1018 | − | 10.2456i | −0.742202 | − | 0.539241i | ||||
\(362\) | 20.8836 | + | 36.1715i | 1.09762 | + | 1.90113i | ||||
\(363\) | 15.9363 | − | 10.4419i | 0.836439 | − | 0.548060i | ||||
\(364\) | 11.2961 | − | 19.5654i | 0.592075 | − | 1.02550i | ||||
\(365\) | −9.38285 | + | 4.17752i | −0.491121 | + | 0.218661i | ||||
\(366\) | 0.517371 | + | 1.39219i | 0.0270434 | + | 0.0727711i | ||||
\(367\) | −5.15250 | + | 5.72243i | −0.268958 | + | 0.298708i | −0.862461 | − | 0.506124i | \(-0.831078\pi\) |
0.593503 | + | 0.804832i | \(0.297745\pi\) | |||||||
\(368\) | 44.7939 | + | 61.6535i | 2.33504 | + | 3.21391i | ||||
\(369\) | 8.29544 | − | 10.9179i | 0.431843 | − | 0.568365i | ||||
\(370\) | 37.0240 | − | 12.0298i | 1.92479 | − | 0.625401i | ||||
\(371\) | 0.474451 | − | 0.100848i | 0.0246323 | − | 0.00523575i | ||||
\(372\) | −32.9843 | − | 17.2539i | −1.71016 | − | 0.894573i | ||||
\(373\) | 18.2379 | + | 10.5296i | 0.944321 | + | 0.545204i | 0.891312 | − | 0.453390i | \(-0.149786\pi\) |
0.0530086 | + | 0.998594i | \(0.483119\pi\) | |||||||
\(374\) | −33.9951 | − | 14.8352i | −1.75784 | − | 0.767110i | ||||
\(375\) | −18.4212 | − | 7.29859i | −0.951266 | − | 0.376897i | ||||
\(376\) | 63.3416 | + | 6.65747i | 3.26659 | + | 0.343333i | ||||
\(377\) | 0.275637 | + | 0.0895598i | 0.0141960 | + | 0.00461256i | ||||
\(378\) | 4.60028 | + | 19.6772i | 0.236613 | + | 1.01209i | ||||
\(379\) | 24.0003 | − | 17.4372i | 1.23281 | − | 0.895691i | 0.235715 | − | 0.971822i | \(-0.424257\pi\) |
0.997098 | + | 0.0761314i | \(0.0242568\pi\) | |||||||
\(380\) | 8.70449 | + | 3.87549i | 0.446531 | + | 0.198808i | ||||
\(381\) | 0.0112345 | − | 0.177885i | 0.000575562 | − | 0.00911333i | ||||
\(382\) | −7.43682 | + | 6.69615i | −0.380501 | + | 0.342605i | ||||
\(383\) | 1.08521 | + | 2.43741i | 0.0554515 | + | 0.124546i | 0.939146 | − | 0.343518i | \(-0.111618\pi\) |
−0.883695 | + | 0.468064i | \(0.844952\pi\) | |||||||
\(384\) | 39.2162 | − | 5.78132i | 2.00124 | − | 0.295027i | ||||
\(385\) | −6.92749 | + | 0.0512539i | −0.353057 | + | 0.00261214i | ||||
\(386\) | 67.1784i | 3.41929i | ||||||||
\(387\) | −4.16571 | − | 4.83072i | −0.211755 | − | 0.245559i | ||||
\(388\) | 9.81361 | − | 30.2032i | 0.498210 | − | 1.53333i | ||||
\(389\) | −0.473711 | − | 0.426531i | −0.0240181 | − | 0.0216260i | 0.657034 | − | 0.753861i | \(-0.271811\pi\) |
−0.681052 | + | 0.732235i | \(0.738477\pi\) | |||||||
\(390\) | 19.3555 | + | 5.40917i | 0.980104 | + | 0.273904i | ||||
\(391\) | −23.9768 | + | 2.52007i | −1.21256 | + | 0.127445i | ||||
\(392\) | −42.1904 | − | 8.96785i | −2.13094 | − | 0.452945i | ||||
\(393\) | 24.9466 | − | 9.27075i | 1.25839 | − | 0.467647i | ||||
\(394\) | −5.41251 | + | 51.4966i | −0.272678 | + | 2.59436i | ||||
\(395\) | 14.4984 | 0.729492 | ||||||||
\(396\) | −30.1487 | − | 42.7443i | −1.51503 | − | 2.14798i | ||||
\(397\) | −25.2145 | −1.26548 | −0.632741 | − | 0.774364i | \(-0.718070\pi\) | ||||
−0.632741 | + | 0.774364i | \(0.718070\pi\) | |||||||
\(398\) | 7.32485 | − | 69.6913i | 0.367162 | − | 3.49331i | ||||
\(399\) | −0.523101 | + | 3.08824i | −0.0261878 | + | 0.154605i | ||||
\(400\) | −37.3072 | − | 7.92990i | −1.86536 | − | 0.396495i | ||||
\(401\) | −29.0104 | + | 3.04912i | −1.44871 | + | 0.152266i | −0.795979 | − | 0.605324i | \(-0.793044\pi\) |
−0.652731 | + | 0.757590i | \(0.726377\pi\) | |||||||
\(402\) | −3.98397 | − | 15.5321i | −0.198703 | − | 0.774668i | ||||
\(403\) | −9.04396 | − | 8.14322i | −0.450512 | − | 0.405642i | ||||
\(404\) | 18.9132 | − | 58.2088i | 0.940966 | − | 2.89600i | ||||
\(405\) | −11.5459 | + | 6.02193i | −0.573721 | + | 0.299232i | ||||
\(406\) | 0.378625i | 0.0187908i | ||||||||
\(407\) | −26.9422 | − | 19.2717i | −1.33547 | − | 0.955263i | ||||
\(408\) | −23.2389 | + | 58.6537i | −1.15050 | + | 2.90379i | ||||
\(409\) | 6.75518 | + | 15.1724i | 0.334022 | + | 0.750226i | 0.999991 | + | 0.00424629i | \(0.00135164\pi\) |
−0.665969 | + | 0.745979i | \(0.731982\pi\) | |||||||
\(410\) | 13.2393 | − | 11.9207i | 0.653841 | − | 0.588721i | ||||
\(411\) | −5.77737 | + | 2.86618i | −0.284977 | + | 0.141378i | ||||
\(412\) | −16.0880 | − | 7.16284i | −0.792599 | − | 0.352888i | ||||
\(413\) | −3.53499 | + | 2.56832i | −0.173945 | + | 0.126379i | ||||
\(414\) | −42.4573 | − | 20.0038i | −2.08666 | − | 0.983136i | ||||
\(415\) | 8.20739 | + | 2.66674i | 0.402885 | + | 0.130905i | ||||
\(416\) | 52.7045 | + | 5.53947i | 2.58405 | + | 0.271595i | ||||
\(417\) | −23.1020 | + | 18.3014i | −1.13131 | + | 0.896224i | ||||
\(418\) | −2.40791 | − | 10.9300i | −0.117775 | − | 0.534606i | ||||
\(419\) | −8.11793 | − | 4.68689i | −0.396587 | − | 0.228969i | 0.288423 | − | 0.957503i | \(-0.406869\pi\) |
−0.685010 | + | 0.728534i | \(0.740202\pi\) | |||||||
\(420\) | 0.791877 | + | 19.0028i | 0.0386396 | + | 0.927241i | ||||
\(421\) | 3.23871 | − | 0.688408i | 0.157845 | − | 0.0335510i | −0.128311 | − | 0.991734i | \(-0.540956\pi\) |
0.286156 | + | 0.958183i | \(0.407622\pi\) | |||||||
\(422\) | 58.2537 | − | 18.9278i | 2.83575 | − | 0.921390i | ||||
\(423\) | −20.0792 | + | 8.42914i | −0.976282 | + | 0.409839i | ||||
\(424\) | 1.73282 | + | 2.38502i | 0.0841532 | + | 0.115827i | ||||
\(425\) | 8.07378 | − | 8.96685i | 0.391636 | − | 0.434956i | ||||
\(426\) | 42.1783 | + | 7.14435i | 2.04354 | + | 0.346145i | ||||
\(427\) | −0.419794 | + | 0.186904i | −0.0203153 | + | 0.00904494i | ||||
\(428\) | 24.8519 | − | 43.0448i | 1.20126 | − | 2.08065i | ||||
\(429\) | −6.07543 | − | 15.9852i | −0.293325 | − | 0.771771i | ||||
\(430\) | −4.14383 | − | 7.17732i | −0.199833 | − | 0.346121i | ||||
\(431\) | −1.72195 | − | 1.25107i | −0.0829434 | − | 0.0602619i | 0.545541 | − | 0.838084i | \(-0.316324\pi\) |
−0.628484 | + | 0.777822i | \(0.716324\pi\) | |||||||
\(432\) | −54.3422 | + | 41.1862i | −2.61454 | + | 1.98157i | ||||
\(433\) | −4.76068 | − | 14.6519i | −0.228784 | − | 0.704124i | −0.997885 | − | 0.0649975i | \(-0.979296\pi\) |
0.769102 | − | 0.639126i | \(-0.220704\pi\) | |||||||
\(434\) | 6.46661 | − | 14.5242i | 0.310407 | − | 0.697186i | ||||
\(435\) | −0.236336 | + | 0.0606203i | −0.0113315 | + | 0.00290652i | ||||
\(436\) | 4.49579 | − | 21.1510i | 0.215309 | − | 1.01295i | ||||
\(437\) | −4.86779 | − | 5.40623i | −0.232858 | − | 0.258615i | ||||
\(438\) | 15.3521 | − | 29.3488i | 0.733554 | − | 1.40234i | ||||
\(439\) | 31.0083 | − | 17.9026i | 1.47995 | − | 0.854447i | 0.480203 | − | 0.877157i | \(-0.340563\pi\) |
0.999742 | + | 0.0227105i | \(0.00722958\pi\) | |||||||
\(440\) | −17.4098 | − | 38.3372i | −0.829981 | − | 1.82765i | ||||
\(441\) | 14.1204 | − | 4.25579i | 0.672399 | − | 0.202656i | ||||
\(442\) | −19.5682 | + | 26.9333i | −0.930764 | + | 1.28109i | ||||
\(443\) | 2.49445 | + | 11.7354i | 0.118515 | + | 0.557568i | 0.996835 | + | 0.0794956i | \(0.0253310\pi\) |
−0.878321 | + | 0.478072i | \(0.841336\pi\) | |||||||
\(444\) | −50.3448 | + | 75.7355i | −2.38926 | + | 3.59425i | ||||
\(445\) | 0.773725 | + | 7.36150i | 0.0366781 | + | 0.348968i | ||||
\(446\) | 6.40567 | + | 60.9459i | 0.303317 | + | 2.88587i | ||||
\(447\) | 10.9807 | − | 16.5186i | 0.519368 | − | 0.781305i | ||||
\(448\) | 6.51692 | + | 30.6597i | 0.307896 | + | 1.44853i | ||||
\(449\) | 15.0088 | − | 20.6578i | 0.708307 | − | 0.974901i | −0.291525 | − | 0.956563i | \(-0.594163\pi\) |
0.999832 | − | 0.0183378i | \(-0.00583742\pi\) | |||||||
\(450\) | 22.4903 | − | 6.77841i | 1.06020 | − | 0.319537i | ||||
\(451\) | −14.8507 | − | 3.04196i | −0.699292 | − | 0.143240i | ||||
\(452\) | 92.0676 | − | 53.1552i | 4.33050 | − | 2.50021i | ||||
\(453\) | 0.853399 | − | 1.63145i | 0.0400962 | − | 0.0766520i | ||||
\(454\) | 14.6507 | + | 16.2712i | 0.687589 | + | 0.763645i | ||||
\(455\) | −1.29279 | + | 6.08211i | −0.0606071 | + | 0.285134i | ||||
\(456\) | −18.4402 | + | 4.72991i | −0.863541 | + | 0.221498i | ||||
\(457\) | 0.414845 | − | 0.931757i | 0.0194056 | − | 0.0435857i | −0.903583 | − | 0.428414i | \(-0.859073\pi\) |
0.922988 | + | 0.384828i | \(0.125739\pi\) | |||||||
\(458\) | 11.3160 | + | 34.8272i | 0.528764 | + | 1.62737i | ||||
\(459\) | −2.68816 | − | 21.4031i | −0.125472 | − | 0.999010i | ||||
\(460\) | −35.7370 | − | 25.9645i | −1.66625 | − | 1.21060i | ||||
\(461\) | 2.26202 | + | 3.91794i | 0.105353 | + | 0.182477i | 0.913882 | − | 0.405979i | \(-0.133069\pi\) |
−0.808529 | + | 0.588456i | \(0.799736\pi\) | |||||||
\(462\) | 17.4084 | − | 14.0018i | 0.809910 | − | 0.651420i | ||||
\(463\) | 4.22594 | − | 7.31953i | 0.196396 | − | 0.340168i | −0.750961 | − | 0.660346i | \(-0.770410\pi\) |
0.947357 | + | 0.320179i | \(0.103743\pi\) | |||||||
\(464\) | −1.16713 | + | 0.519638i | −0.0541825 | + | 0.0241236i | ||||
\(465\) | 10.1013 | + | 1.71101i | 0.468438 | + | 0.0793462i | ||||
\(466\) | −9.11640 | + | 10.1248i | −0.422309 | + | 0.469022i | ||||
\(467\) | 3.64591 | + | 5.01817i | 0.168713 | + | 0.232213i | 0.884998 | − | 0.465594i | \(-0.154159\pi\) |
−0.716286 | + | 0.697807i | \(0.754159\pi\) | |||||||
\(468\) | −43.2889 | + | 18.1725i | −2.00103 | + | 0.840023i | ||||
\(469\) | 4.71832 | − | 1.53308i | 0.217872 | − | 0.0707909i | ||||
\(470\) | −27.6751 | + | 5.88252i | −1.27656 | + | 0.271340i | ||||
\(471\) | −0.00615786 | − | 0.147771i | −0.000283739 | − | 0.00680893i | ||||
\(472\) | −22.9990 | − | 13.2785i | −1.05861 | − | 0.611191i | ||||
\(473\) | −2.82057 | + | 6.46338i | −0.129690 | + | 0.297187i | ||||
\(474\) | −36.6483 | + | 29.0328i | −1.68331 | + | 1.33352i | ||||
\(475\) | 3.62096 | + | 0.380578i | 0.166141 | + | 0.0174621i | ||||
\(476\) | −29.9639 | − | 9.73586i | −1.37339 | − | 0.446242i | ||||
\(477\) | −0.911841 | − | 0.429615i | −0.0417503 | − | 0.0196707i | ||||
\(478\) | −43.9497 | + | 31.9314i | −2.01021 | + | 1.46051i | ||||
\(479\) | −20.3778 | − | 9.07278i | −0.931085 | − | 0.414546i | −0.115582 | − | 0.993298i | \(-0.536873\pi\) |
−0.815504 | + | 0.578752i | \(0.803540\pi\) | |||||||
\(480\) | −39.9659 | + | 19.8273i | −1.82419 | + | 0.904987i | ||||
\(481\) | −22.0950 | + | 19.8945i | −1.00745 | + | 0.907109i | ||||
\(482\) | −31.0096 | − | 69.6487i | −1.41245 | − | 3.17241i | ||||
\(483\) | 5.34885 | − | 13.5002i | 0.243381 | − | 0.614279i | ||||
\(484\) | −28.1696 | + | 50.5025i | −1.28044 | + | 2.29557i | ||||
\(485\) | 8.74055i | 0.396888i | ||||||||
\(486\) | 17.1264 | − | 38.3425i | 0.776871 | − | 1.73925i | ||||
\(487\) | 10.5290 | − | 32.4051i | 0.477117 | − | 1.46841i | −0.365965 | − | 0.930629i | \(-0.619261\pi\) |
0.843082 | − | 0.537786i | \(-0.180739\pi\) | |||||||
\(488\) | −2.07552 | − | 1.86881i | −0.0939545 | − | 0.0845970i | ||||
\(489\) | −1.26079 | − | 4.91535i | −0.0570148 | − | 0.222280i | ||||
\(490\) | 19.0561 | − | 2.00288i | 0.860867 | − | 0.0904807i | ||||
\(491\) | 18.4134 | + | 3.91389i | 0.830985 | + | 0.176631i | 0.603715 | − | 0.797201i | \(-0.293687\pi\) |
0.227270 | + | 0.973832i | \(0.427020\pi\) | |||||||
\(492\) | −6.95040 | + | 41.0333i | −0.313348 | + | 1.84992i | ||||
\(493\) | 0.0422474 | − | 0.401957i | 0.00190273 | − | 0.0181032i | ||||
\(494\) | −10.0456 | −0.451972 | ||||||||
\(495\) | 11.5271 | + | 8.62448i | 0.518102 | + | 0.387642i | ||||
\(496\) | 53.6466 | 2.40880 | ||||||||
\(497\) | −1.38351 | + | 13.1632i | −0.0620588 | + | 0.590450i | ||||
\(498\) | −26.0864 | + | 9.69431i | −1.16896 | + | 0.434412i | ||||
\(499\) | −7.43187 | − | 1.57969i | −0.332696 | − | 0.0707167i | 0.0385350 | − | 0.999257i | \(-0.487731\pi\) |
−0.371231 | + | 0.928541i | \(0.621064\pi\) | |||||||
\(500\) | 59.8103 | − | 6.28632i | 2.67480 | − | 0.281133i | ||||
\(501\) | 7.42931 | + | 2.07623i | 0.331917 | + | 0.0927590i | ||||
\(502\) | 46.8231 | + | 42.1597i | 2.08982 | + | 1.88168i | ||||
\(503\) | −8.18033 | + | 25.1765i | −0.364743 | + | 1.12256i | 0.585399 | + | 0.810745i | \(0.300938\pi\) |
−0.950142 | + | 0.311818i | \(0.899062\pi\) | |||||||
\(504\) | −24.8161 | − | 28.7777i | −1.10540 | − | 1.28186i | ||||
\(505\) | 16.8451i | 0.749599i | ||||||||
\(506\) | 0.383884 | + | 51.8858i | 0.0170657 | + | 2.30661i | ||||
\(507\) | 7.09109 | − | 1.04538i | 0.314926 | − | 0.0464269i | ||||
\(508\) | 0.220039 | + | 0.494215i | 0.00976264 | + | 0.0219272i | ||||
\(509\) | −9.47468 | + | 8.53104i | −0.419958 | + | 0.378132i | −0.851843 | − | 0.523797i | \(-0.824515\pi\) |
0.431885 | + | 0.901929i | \(0.357849\pi\) | |||||||
\(510\) | 1.76652 | − | 27.9707i | 0.0782228 | − | 1.23856i | ||||
\(511\) | 9.36176 | + | 4.16812i | 0.414140 | + | 0.184387i | ||||
\(512\) | −2.69612 | + | 1.95884i | −0.119153 | + | 0.0865695i | ||||
\(513\) | 4.74811 | − | 4.45234i | 0.209634 | − | 0.196575i | ||||
\(514\) | 1.06700 | + | 0.346689i | 0.0470633 | + | 0.0152918i | ||||
\(515\) | 4.82035 | + | 0.506640i | 0.212410 | + | 0.0223252i | ||||
\(516\) | 17.9994 | + | 7.13146i | 0.792378 | + | 0.313945i | ||||
\(517\) | 18.0099 | + | 15.9765i | 0.792075 | + | 0.702646i | ||||
\(518\) | −33.6380 | − | 19.4209i | −1.47797 | − | 0.853305i | ||||
\(519\) | −16.0388 | − | 8.38979i | −0.704025 | − | 0.368271i | ||||
\(520\) | −36.9660 | + | 7.85736i | −1.62106 | + | 0.344568i | ||||
\(521\) | −6.80629 | + | 2.21150i | −0.298189 | + | 0.0968875i | −0.454291 | − | 0.890854i | \(-0.650107\pi\) |
0.156102 | + | 0.987741i | \(0.450107\pi\) | |||||||
\(522\) | 0.476010 | − | 0.626494i | 0.0208344 | − | 0.0274209i | ||||
\(523\) | 18.1933 | + | 25.0410i | 0.795539 | + | 1.09497i | 0.993396 | + | 0.114734i | \(0.0366017\pi\) |
−0.197857 | + | 0.980231i | \(0.563398\pi\) | |||||||
\(524\) | −54.0500 | + | 60.0286i | −2.36118 | + | 2.62236i | ||||
\(525\) | 2.53164 | + | 6.81239i | 0.110490 | + | 0.297317i | ||||
\(526\) | 69.1972 | − | 30.8086i | 3.01714 | − | 1.34332i | ||||
\(527\) | −8.48573 | + | 14.6977i | −0.369644 | + | 0.640243i | ||||
\(528\) | 67.0528 | + | 34.4455i | 2.91810 | + | 1.49905i | ||||
\(529\) | 5.36315 | + | 9.28924i | 0.233180 | + | 0.403880i | ||||
\(530\) | −1.05950 | − | 0.769775i | −0.0460219 | − | 0.0334369i | ||||
\(531\) | 9.07810 | + | 0.194525i | 0.393956 | + | 0.00844168i | ||||
\(532\) | −2.93777 | − | 9.04152i | −0.127368 | − | 0.392000i | ||||
\(533\) | −5.53411 | + | 12.4298i | −0.239709 | + | 0.538395i | ||||
\(534\) | −16.6971 | − | 17.0587i | −0.722553 | − | 0.738202i | ||||
\(535\) | −2.84421 | + | 13.3809i | −0.122966 | + | 0.578508i | ||||
\(536\) | 20.1762 | + | 22.4080i | 0.871480 | + | 0.967876i | ||||
\(537\) | 9.34684 | + | 14.7361i | 0.403346 | + | 0.635909i | ||||
\(538\) | −31.6392 | + | 18.2669i | −1.36406 | + | 0.787541i | ||||
\(539\) | −10.9990 | − | 12.0354i | −0.473762 | − | 0.518401i | ||||
\(540\) | 22.5802 | − | 32.4386i | 0.971695 | − | 1.39594i | ||||
\(541\) | 25.5272 | − | 35.1352i | 1.09750 | − | 1.51058i | 0.258845 | − | 0.965919i | \(-0.416658\pi\) |
0.838656 | − | 0.544661i | \(-0.183342\pi\) | |||||||
\(542\) | −6.24030 | − | 29.3583i | −0.268044 | − | 1.26105i | ||||
\(543\) | 26.8010 | + | 1.69265i | 1.15014 | + | 0.0726384i | ||||
\(544\) | −7.72506 | − | 73.4991i | −0.331209 | − | 3.15125i | ||||
\(545\) | 0.622091 | + | 5.91881i | 0.0266475 | + | 0.253534i | ||||
\(546\) | −8.91148 | − | 17.9629i | −0.381376 | − | 0.768741i | ||||
\(547\) | −1.55388 | − | 7.31045i | −0.0664392 | − | 0.312572i | 0.932362 | − | 0.361527i | \(-0.117744\pi\) |
−0.998801 | + | 0.0489546i | \(0.984411\pi\) | |||||||
\(548\) | 11.5056 | − | 15.8361i | 0.491496 | − | 0.676487i | ||||
\(549\) | 0.929593 | + | 0.218506i | 0.0396741 | + | 0.00932560i | ||||
\(550\) | −17.5187 | − | 19.1694i | −0.747001 | − | 0.817386i | ||||
\(551\) | 0.105618 | − | 0.0609787i | 0.00449949 | − | 0.00259778i | ||||
\(552\) | 88.1805 | − | 3.67462i | 3.75321 | − | 0.156402i | ||||
\(553\) | −9.67948 | − | 10.7502i | −0.411613 | − | 0.457143i | ||||
\(554\) | −5.48008 | + | 25.7818i | −0.232826 | + | 1.09536i | ||||
\(555\) | 6.73681 | − | 24.1062i | 0.285962 | − | 1.02325i | ||||
\(556\) | 36.3845 | − | 81.7209i | 1.54305 | − | 3.46574i | ||||
\(557\) | −8.26967 | − | 25.4514i | −0.350397 | − | 1.07841i | −0.958631 | − | 0.284653i | \(-0.908121\pi\) |
0.608233 | − | 0.793758i | \(-0.291879\pi\) | |||||||
\(558\) | −28.9600 | + | 15.9028i | −1.22597 | + | 0.673218i | ||||
\(559\) | 5.12075 | + | 3.72044i | 0.216585 | + | 0.157358i | ||||
\(560\) | −13.7049 | − | 23.7376i | −0.579139 | − | 1.00310i | ||||
\(561\) | −20.0435 | + | 12.9221i | −0.846235 | + | 0.545573i | ||||
\(562\) | −16.4124 | + | 28.4270i | −0.692314 | + | 1.19912i | ||||
\(563\) | −21.3311 | + | 9.49724i | −0.899000 | + | 0.400261i | −0.803594 | − | 0.595178i | \(-0.797082\pi\) |
−0.0954063 | + | 0.995438i | \(0.530415\pi\) | |||||||
\(564\) | 42.1432 | − | 50.9174i | 1.77455 | − | 2.14401i | ||||
\(565\) | −19.5785 | + | 21.7441i | −0.823674 | + | 0.914782i | ||||
\(566\) | −24.3742 | − | 33.5483i | −1.02453 | − | 1.41014i | ||||
\(567\) | 12.1735 | + | 4.54060i | 0.511237 | + | 0.190687i | ||||
\(568\) | −76.5070 | + | 24.8586i | −3.21016 | + | 1.04305i | ||||
\(569\) | 5.31206 | − | 1.12911i | 0.222693 | − | 0.0473349i | −0.0952135 | − | 0.995457i | \(-0.530353\pi\) |
0.317907 | + | 0.948122i | \(0.397020\pi\) | |||||||
\(570\) | 7.14149 | − | 4.52972i | 0.299124 | − | 0.189729i | ||||
\(571\) | 8.79380 | + | 5.07710i | 0.368009 | + | 0.212470i | 0.672588 | − | 0.740017i | \(-0.265183\pi\) |
−0.304579 | + | 0.952487i | \(0.598516\pi\) | |||||||
\(572\) | 38.8278 | + | 34.4439i | 1.62347 | + | 1.44017i | ||||
\(573\) | 0.938397 | + | 6.36540i | 0.0392021 | + | 0.265918i | ||||
\(574\) | −17.6778 | − | 1.85801i | −0.737855 | − | 0.0775517i | ||||
\(575\) | −16.0533 | − | 5.21603i | −0.669468 | − | 0.217523i | ||||
\(576\) | 27.7623 | − | 58.9244i | 1.15676 | − | 2.45518i | ||||
\(577\) | 17.0075 | − | 12.3566i | 0.708029 | − | 0.514414i | −0.174508 | − | 0.984656i | \(-0.555833\pi\) |
0.882537 | + | 0.470242i | \(0.155833\pi\) | |||||||
\(578\) | 0.575874 | + | 0.256396i | 0.0239532 | + | 0.0106647i | ||||
\(579\) | 35.9704 | + | 23.9111i | 1.49488 | + | 0.993712i | ||||
\(580\) | 0.550328 | − | 0.495518i | 0.0228511 | − | 0.0205753i | ||||
\(581\) | −3.50215 | − | 7.86595i | −0.145294 | − | 0.326335i | ||||
\(582\) | −17.5028 | − | 22.0940i | −0.725515 | − | 0.915825i | ||||
\(583\) | 0.00824453 | + | 1.11433i | 0.000341453 | + | 0.0461510i | ||||
\(584\) | 62.2837i | 2.57732i | ||||||||
\(585\) | 9.78561 | − | 8.43850i | 0.404585 | − | 0.348889i | ||||
\(586\) | −22.6588 | + | 69.7367i | −0.936028 | + | 2.88080i | ||||
\(587\) | 32.4155 | + | 29.1870i | 1.33793 | + | 1.20468i | 0.960381 | + | 0.278689i | \(0.0898999\pi\) |
0.377550 | + | 0.925989i | \(0.376767\pi\) | |||||||
\(588\) | −31.9886 | + | 31.3105i | −1.31919 | + | 1.29122i | ||||
\(589\) | −5.09304 | + | 0.535300i | −0.209855 | + | 0.0220567i | ||||
\(590\) | 11.5396 | + | 2.45283i | 0.475079 | + | 0.100981i | ||||
\(591\) | 25.6471 | + | 21.2275i | 1.05498 | + | 0.873184i | ||||
\(592\) | 13.6998 | − | 130.344i | 0.563056 | − | 5.35712i | ||||
\(593\) | −37.0300 | −1.52064 | −0.760319 | − | 0.649549i | \(-0.774958\pi\) | ||||
−0.760319 | + | 0.649549i | \(0.774958\pi\) | |||||||
\(594\) | −46.4080 | + | 1.28217i | −1.90414 | + | 0.0526082i | ||||
\(595\) | 8.67130 | 0.355489 | ||||||||
\(596\) | −6.29297 | + | 59.8736i | −0.257770 | + | 2.45252i | ||||
\(597\) | −34.7087 | − | 28.7276i | −1.42053 | − | 1.17574i | ||||
\(598\) | 45.5541 | + | 9.68282i | 1.86285 | + | 0.395960i | ||||
\(599\) | −23.9622 | + | 2.51853i | −0.979068 | + | 0.102904i | −0.580522 | − | 0.814244i | \(-0.697152\pi\) |
−0.398546 | + | 0.917148i | \(0.630485\pi\) | |||||||
\(600\) | −31.5665 | + | 30.8973i | −1.28870 | + | 1.26138i | ||||
\(601\) | 13.8822 | + | 12.4996i | 0.566268 | + | 0.509870i | 0.901797 | − | 0.432160i | \(-0.142248\pi\) |
−0.335529 | + | 0.942030i | \(0.608915\pi\) | |||||||
\(602\) | −2.55527 | + | 7.86431i | −0.104145 | + | 0.320525i | ||||
\(603\) | −9.73460 | − | 3.39519i | −0.396424 | − | 0.138263i | ||||
\(604\) | 5.58824i | 0.227382i | ||||||||
\(605\) | 3.07836 | − | 15.6152i | 0.125153 | − | 0.634849i | ||||
\(606\) | −33.7322 | − | 42.5804i | −1.37028 | − | 1.72971i | ||||
\(607\) | −10.0075 | − | 22.4773i | −0.406193 | − | 0.912324i | −0.994602 | − | 0.103761i | \(-0.966912\pi\) |
0.588409 | − | 0.808563i | \(-0.299754\pi\) | |||||||
\(608\) | 16.5724 | − | 14.9218i | 0.672098 | − | 0.605160i | ||||
\(609\) | 0.202733 | + | 0.134766i | 0.00821515 | + | 0.00546098i | ||||
\(610\) | 1.13343 | + | 0.504635i | 0.0458912 | + | 0.0204321i | ||||
\(611\) | 17.4818 | − | 12.7013i | 0.707238 | − | 0.513839i | ||||
\(612\) | 37.3400 | + | 53.7803i | 1.50938 | + | 2.17394i | ||||
\(613\) | 21.4976 | + | 6.98501i | 0.868282 | + | 0.282122i | 0.709083 | − | 0.705125i | \(-0.249109\pi\) |
0.159199 | + | 0.987247i | \(0.449109\pi\) | |||||||
\(614\) | −83.2662 | − | 8.75163i | −3.36035 | − | 0.353187i | ||||
\(615\) | −1.67056 | − | 11.3319i | −0.0673636 | − | 0.456946i | ||||
\(616\) | −16.8028 | + | 38.5038i | −0.677004 | + | 1.55136i | ||||
\(617\) | 8.17258 | + | 4.71844i | 0.329016 | + | 0.189957i | 0.655404 | − | 0.755278i | \(-0.272498\pi\) |
−0.326388 | + | 0.945236i | \(0.605832\pi\) | |||||||
\(618\) | −13.1992 | + | 8.37203i | −0.530950 | + | 0.336772i | ||||
\(619\) | 13.0960 | − | 2.78364i | 0.526373 | − | 0.111884i | 0.0629422 | − | 0.998017i | \(-0.479952\pi\) |
0.463431 | + | 0.886133i | \(0.346618\pi\) | |||||||
\(620\) | −29.5739 | + | 9.60915i | −1.18772 | + | 0.385913i | ||||
\(621\) | −25.8230 | + | 15.6135i | −1.03624 | + | 0.626549i | ||||
\(622\) | 9.04845 | + | 12.4541i | 0.362810 | + | 0.499365i | ||||
\(623\) | 4.94180 | − | 5.48842i | 0.197989 | − | 0.219889i | ||||
\(624\) | 43.1409 | − | 52.1229i | 1.72702 | − | 2.08659i | ||||
\(625\) | −1.84495 | + | 0.821424i | −0.0737980 | + | 0.0328570i | ||||
\(626\) | 35.6031 | − | 61.6663i | 1.42298 | − | 2.46468i | ||||
\(627\) | −6.70950 | − | 2.60108i | −0.267951 | − | 0.103877i | ||||
\(628\) | 0.224449 | + | 0.388757i | 0.00895648 | + | 0.0155131i | ||||
\(629\) | 33.5439 | + | 24.3710i | 1.33748 | + | 0.971737i | ||||
\(630\) | 14.4350 | + | 8.75164i | 0.575105 | + | 0.348674i | ||||
\(631\) | −3.99811 | − | 12.3049i | −0.159162 | − | 0.489851i | 0.839397 | − | 0.543519i | \(-0.182909\pi\) |
−0.998559 | + | 0.0536685i | \(0.982909\pi\) | |||||||
\(632\) | 35.7604 | − | 80.3191i | 1.42247 | − | 3.19492i | ||||
\(633\) | 10.5997 | − | 37.9287i | 0.421301 | − | 1.50753i | ||||
\(634\) | 1.10890 | − | 5.21698i | 0.0440402 | − | 0.207193i | ||||
\(635\) | −0.0996297 | − | 0.110650i | −0.00395369 | − | 0.00439101i | ||||
\(636\) | 3.05673 | − | 0.127379i | 0.121207 | − | 0.00505089i | ||||
\(637\) | −12.6734 | + | 7.31701i | −0.502140 | + | 0.289911i | ||||
\(638\) | −0.852164 | − | 0.174554i | −0.0337375 | − | 0.00691065i | ||||
\(639\) | 18.8381 | − | 20.0412i | 0.745224 | − | 0.792819i | ||||
\(640\) | 19.4638 | − | 26.7896i | 0.769373 | − | 1.05895i | ||||
\(641\) | −2.07714 | − | 9.77218i | −0.0820421 | − | 0.385978i | 0.917899 | − | 0.396814i | \(-0.129884\pi\) |
−0.999941 | + | 0.0108359i | \(0.996551\pi\) | |||||||
\(642\) | −19.6057 | − | 39.5192i | −0.773774 | − | 1.55970i | ||||
\(643\) | 1.32573 | + | 12.6135i | 0.0522817 | + | 0.497428i | 0.989061 | + | 0.147507i | \(0.0471248\pi\) |
−0.936779 | + | 0.349921i | \(0.886209\pi\) | |||||||
\(644\) | 4.60700 | + | 43.8326i | 0.181541 | + | 1.72725i | ||||
\(645\) | −5.31799 | − | 0.335863i | −0.209396 | − | 0.0132246i | ||||
\(646\) | 2.91265 | + | 13.7029i | 0.114597 | + | 0.539135i | ||||
\(647\) | −19.3401 | + | 26.6193i | −0.760337 | + | 1.04651i | 0.236849 | + | 0.971547i | \(0.423885\pi\) |
−0.997186 | + | 0.0749678i | \(0.976115\pi\) | |||||||
\(648\) | 4.88261 | + | 78.8161i | 0.191807 | + | 3.09619i | ||||
\(649\) | −4.15077 | − | 9.14018i | −0.162932 | − | 0.358784i | ||||
\(650\) | −20.1856 | + | 11.6542i | −0.791746 | + | 0.457115i | ||||
\(651\) | −5.47525 | − | 8.63219i | −0.214592 | − | 0.338322i | ||||
\(652\) | 10.3058 | + | 11.4458i | 0.403608 | + | 0.448252i | ||||
\(653\) | −4.44155 | + | 20.8959i | −0.173811 | + | 0.817718i | 0.801693 | + | 0.597736i | \(0.203933\pi\) |
−0.975504 | + | 0.219982i | \(0.929400\pi\) | |||||||
\(654\) | −13.4248 | − | 13.7156i | −0.524952 | − | 0.536321i | ||||
\(655\) | 9.04253 | − | 20.3099i | 0.353321 | − | 0.793572i | ||||
\(656\) | −18.5342 | − | 57.0424i | −0.723639 | − | 2.22713i | ||||
\(657\) | −10.2503 | − | 18.6665i | −0.399902 | − | 0.728249i | ||||
\(658\) | 22.8383 | + | 16.5930i | 0.890331 | + | 0.646863i | ||||
\(659\) | 5.34609 | + | 9.25969i | 0.208254 | + | 0.360706i | 0.951165 | − | 0.308684i | \(-0.0998886\pi\) |
−0.742911 | + | 0.669391i | \(0.766555\pi\) | |||||||
\(660\) | −43.1343 | − | 6.97841i | −1.67900 | − | 0.271634i | ||||
\(661\) | −14.6301 | + | 25.3401i | −0.569045 | + | 0.985615i | 0.427616 | + | 0.903961i | \(0.359354\pi\) |
−0.996661 | + | 0.0816544i | \(0.973980\pi\) | |||||||
\(662\) | −10.0339 | + | 4.46737i | −0.389978 | + | 0.173629i | ||||
\(663\) | 7.45631 | + | 20.0642i | 0.289579 | + | 0.779228i | ||||
\(664\) | 35.0171 | − | 38.8904i | 1.35893 | − | 1.50924i | ||||
\(665\) | 1.53796 | + | 2.11683i | 0.0596397 | + | 0.0820870i | ||||
\(666\) | 31.2432 | + | 74.4248i | 1.21065 | + | 2.88390i | ||||
\(667\) | −0.537728 | + | 0.174718i | −0.0208209 | + | 0.00676512i | ||||
\(668\) | −22.9015 | + | 4.86786i | −0.886086 | + | 0.188343i | ||||
\(669\) | 34.9132 | + | 18.2629i | 1.34982 | + | 0.706083i | ||||
\(670\) | −11.6003 | − | 6.69744i | −0.448159 | − | 0.258745i | ||||
\(671\) | −0.227129 | − | 1.03099i | −0.00876822 | − | 0.0398010i | ||||
\(672\) | 41.3837 | + | 16.3965i | 1.59641 | + | 0.632508i | ||||
\(673\) | 41.5078 | + | 4.36264i | 1.60001 | + | 0.168168i | 0.862101 | − | 0.506736i | \(-0.169148\pi\) |
0.737906 | + | 0.674904i | \(0.235815\pi\) | |||||||
\(674\) | 73.0890 | + | 23.7481i | 2.81528 | + | 0.914741i | ||||
\(675\) | 4.37559 | − | 14.4550i | 0.168417 | − | 0.556372i | ||||
\(676\) | −17.6003 | + | 12.7874i | −0.676935 | + | 0.491822i | ||||
\(677\) | −27.1757 | − | 12.0994i | −1.04445 | − | 0.465017i | −0.188495 | − | 0.982074i | \(-0.560361\pi\) |
−0.855951 | + | 0.517057i | \(0.827028\pi\) | |||||||
\(678\) | 5.94737 | − | 94.1695i | 0.228407 | − | 3.61656i | ||||
\(679\) | 6.48089 | − | 5.83542i | 0.248714 | − | 0.223943i | ||||
\(680\) | 21.4361 | + | 48.1462i | 0.822036 | + | 1.84632i | ||||
\(681\) | 13.9270 | − | 2.05314i | 0.533684 | − | 0.0786766i | ||||
\(682\) | 29.7082 | + | 21.2503i | 1.13759 | + | 0.813714i | ||||
\(683\) | − | 27.9122i | − | 1.06803i | −0.845475 | − | 0.534015i | \(-0.820683\pi\) | ||
0.845475 | − | 0.534015i | \(-0.179317\pi\) | |||||||
\(684\) | −6.50607 | + | 18.6540i | −0.248766 | + | 0.713254i | ||||
\(685\) | −1.66482 | + | 5.12378i | −0.0636094 | + | 0.195770i | ||||
\(686\) | −34.4380 | − | 31.0081i | −1.31485 | − | 1.18390i | ||||
\(687\) | 22.6758 | + | 6.33708i | 0.865137 | + | 0.241775i | ||||
\(688\) | −27.7490 | + | 2.91654i | −1.05792 | + | 0.111192i | ||||
\(689\) | 0.978349 | + | 0.207954i | 0.0372721 | + | 0.00792243i | ||||
\(690\) | −36.7509 | + | 13.6575i | −1.39908 | + | 0.519932i | ||||
\(691\) | −0.134166 | + | 1.27650i | −0.00510390 | + | 0.0485604i | −0.996777 | − | 0.0802171i | \(-0.974439\pi\) |
0.991674 | + | 0.128777i | \(0.0411053\pi\) | |||||||
\(692\) | 54.9382 | 2.08844 | ||||||||
\(693\) | −1.30093 | − | 14.3049i | −0.0494184 | − | 0.543400i | ||||
\(694\) | −27.8516 | −1.05723 | ||||||||
\(695\) | −2.57353 | + | 24.4855i | −0.0976197 | + | 0.928790i | ||||
\(696\) | −0.247098 | + | 1.45880i | −0.00936621 | + | 0.0552955i | ||||
\(697\) | 18.5598 | + | 3.94501i | 0.703003 | + | 0.149428i | ||||
\(698\) | 49.4397 | − | 5.19632i | 1.87132 | − | 0.196684i | ||||
\(699\) | 2.17643 | + | 8.48509i | 0.0823201 | + | 0.320936i | ||||
\(700\) | −16.3925 | − | 14.7599i | −0.619579 | − | 0.557871i | ||||
\(701\) | 9.82030 | − | 30.2238i | 0.370908 | − | 1.14154i | −0.575290 | − | 0.817949i | \(-0.695111\pi\) |
0.946198 | − | 0.323588i | \(-0.104889\pi\) | |||||||
\(702\) | −7.83764 | + | 40.9260i | −0.295813 | + | 1.54465i | ||||
\(703\) | 12.5112i | 0.471869i | ||||||||
\(704\) | −72.0097 | + | 0.532773i | −2.71397 | + | 0.0200796i | ||||
\(705\) | −6.70075 | + | 16.9123i | −0.252365 | + | 0.636954i | ||||
\(706\) | −14.6734 | − | 32.9570i | −0.552241 | − | 1.24035i | ||||
\(707\) | 12.4902 | − | 11.2463i | 0.469744 | − | 0.422959i | ||||
\(708\) | −24.6886 | + | 12.2481i | −0.927853 | + | 0.460313i | ||||
\(709\) | 0.437717 | + | 0.194884i | 0.0164388 | + | 0.00731903i | 0.414940 | − | 0.909849i | \(-0.363803\pi\) |
−0.398501 | + | 0.917168i | \(0.630469\pi\) | |||||||
\(710\) | 28.9110 | − | 21.0050i | 1.08501 | − | 0.788305i | ||||
\(711\) | 2.50105 | + | 29.9569i | 0.0937967 | + | 1.12347i | ||||
\(712\) | 42.6902 | + | 13.8709i | 1.59988 | + | 0.519833i | ||||
\(713\) | 23.6116 | + | 2.48168i | 0.884260 | + | 0.0929395i | ||||
\(714\) | −21.9189 | + | 17.3642i | −0.820296 | + | 0.649837i | ||||
\(715\) | −13.0929 | − | 5.71365i | −0.489647 | − | 0.213678i | ||||
\(716\) | −45.8688 | − | 26.4823i | −1.71420 | − | 0.989692i | ||||
\(717\) | 1.45426 | + | 34.8982i | 0.0543104 | + | 1.30330i | ||||
\(718\) | −16.4449 | + | 3.49548i | −0.613719 | + | 0.130450i | ||||
\(719\) | −22.0526 | + | 7.16534i | −0.822425 | + | 0.267222i | −0.689851 | − | 0.723951i | \(-0.742324\pi\) |
−0.132574 | + | 0.991173i | \(0.542324\pi\) | |||||||
\(720\) | −7.16617 | + | 56.5076i | −0.267067 | + | 2.10591i | ||||
\(721\) | −2.84253 | − | 3.91241i | −0.105862 | − | 0.145706i | ||||
\(722\) | 31.4202 | − | 34.8957i | 1.16934 | − | 1.29868i | ||||
\(723\) | −48.3305 | − | 8.18644i | −1.79743 | − | 0.304457i | ||||
\(724\) | −74.4608 | + | 33.1521i | −2.76731 | + | 1.23209i | ||||
\(725\) | 0.141487 | − | 0.245062i | 0.00525468 | − | 0.00910137i | ||||
\(726\) | 23.4879 | + | 45.6358i | 0.871718 | + | 1.69370i | ||||
\(727\) | −19.7219 | − | 34.1593i | −0.731444 | − | 1.26690i | −0.956266 | − | 0.292498i | \(-0.905513\pi\) |
0.224822 | − | 0.974400i | \(-0.427820\pi\) | |||||||
\(728\) | 30.5055 | + | 22.1635i | 1.13061 | + | 0.821435i | ||||
\(729\) | −14.4344 | − | 22.8177i | −0.534608 | − | 0.845100i | ||||
\(730\) | −8.55002 | − | 26.3143i | −0.316450 | − | 0.973934i | ||||
\(731\) | 3.59024 | − | 8.06381i | 0.132790 | − | 0.298251i | ||||
\(732\) | −2.80748 | + | 0.720118i | −0.103767 | + | 0.0266163i | ||||
\(733\) | −2.03269 | + | 9.56304i | −0.0750790 | + | 0.353219i | −0.999611 | − | 0.0278852i | \(-0.991123\pi\) |
0.924532 | + | 0.381104i | \(0.124456\pi\) | |||||||
\(734\) | −13.8803 | − | 15.4156i | −0.512330 | − | 0.569000i | ||||
\(735\) | 5.71029 | − | 10.9164i | 0.210627 | − | 0.402657i | ||||
\(736\) | −89.5343 | + | 51.6927i | −3.30028 | + | 1.90542i | ||||
\(737\) | 1.27523 | + | 11.3262i | 0.0469735 | + | 0.417207i | ||||
\(738\) | 26.9147 | + | 25.2990i | 0.990744 | + | 0.931268i | ||||
\(739\) | −14.0478 | + | 19.3351i | −0.516757 | + | 0.711255i | −0.985040 | − | 0.172324i | \(-0.944873\pi\) |
0.468284 | + | 0.883578i | \(0.344873\pi\) | |||||||
\(740\) | 15.7949 | + | 74.3093i | 0.580633 | + | 2.73167i | ||||
\(741\) | −3.57557 | + | 5.37886i | −0.131352 | + | 0.197597i | ||||
\(742\) | 0.136585 | + | 1.29952i | 0.00501418 | + | 0.0477067i | ||||
\(743\) | −3.84917 | − | 36.6224i | −0.141212 | − | 1.34355i | −0.803951 | − | 0.594696i | \(-0.797273\pi\) |
0.662738 | − | 0.748851i | \(-0.269394\pi\) | |||||||
\(744\) | 34.3939 | − | 51.7399i | 1.26094 | − | 1.89688i | ||||
\(745\) | −3.44503 | − | 16.2076i | −0.126216 | − | 0.593799i | ||||
\(746\) | −33.3459 | + | 45.8967i | −1.22088 | + | 1.68040i | ||||
\(747\) | −4.09428 | + | 17.4184i | −0.149802 | + | 0.637305i | ||||
\(748\) | 35.7263 | − | 62.9508i | 1.30628 | − | 2.30171i | ||||
\(749\) | 11.8205 | − | 6.82456i | 0.431911 | − | 0.249364i | ||||
\(750\) | 24.7411 | − | 47.2976i | 0.903417 | − | 1.72707i | ||||
\(751\) | −20.5430 | − | 22.8153i | −0.749625 | − | 0.832543i | 0.240803 | − | 0.970574i | \(-0.422589\pi\) |
−0.990428 | + | 0.138031i | \(0.955923\pi\) | |||||||
\(752\) | −19.8045 | + | 93.1730i | −0.722197 | + | 3.39767i | ||||
\(753\) | 39.2402 | − | 10.0651i | 1.42999 | − | 0.366793i | ||||
\(754\) | −0.317559 | + | 0.713249i | −0.0115648 | + | 0.0259750i | ||||
\(755\) | −0.475281 | − | 1.46276i | −0.0172972 | − | 0.0532354i | ||||
\(756\) | −39.1275 | + | 4.91429i | −1.42305 | + | 0.178731i | ||||
\(757\) | −34.5971 | − | 25.1362i | −1.25745 | − | 0.913592i | −0.258822 | − | 0.965925i | \(-0.583334\pi\) |
−0.998630 | + | 0.0523331i | \(0.983334\pi\) | |||||||
\(758\) | 39.9585 | + | 69.2101i | 1.45136 | + | 2.51383i | ||||
\(759\) | 27.9187 | + | 18.2624i | 1.01338 | + | 0.662884i | ||||
\(760\) | −7.95143 | + | 13.7723i | −0.288429 | + | 0.499573i | ||||
\(761\) | 24.6757 | − | 10.9863i | 0.894493 | − | 0.398254i | 0.0925874 | − | 0.995705i | \(-0.470486\pi\) |
0.801906 | + | 0.597451i | \(0.203820\pi\) | |||||||
\(762\) | 0.473415 | + | 0.0801892i | 0.0171500 | + | 0.00290495i | ||||
\(763\) | 3.97331 | − | 4.41281i | 0.143844 | − | 0.159755i | ||||
\(764\) | −11.4788 | − | 15.7991i | −0.415287 | − | 0.571593i | ||||
\(765\) | −14.3480 | − | 10.9016i | −0.518754 | − | 0.394149i | ||||
\(766\) | −6.83574 | + | 2.22107i | −0.246985 | + | 0.0802504i | ||||
\(767\) | −8.81326 | + | 1.87332i | −0.318228 | + | 0.0676415i | ||||
\(768\) | 1.31453 | + | 31.5449i | 0.0474340 | + | 1.13828i | ||||
\(769\) | −41.9099 | − | 24.1967i | −1.51131 | − | 0.872555i | −0.999913 | − | 0.0132095i | \(-0.995795\pi\) |
−0.511396 | − | 0.859345i | \(-0.670871\pi\) | |||||||
\(770\) | 1.81338 | − | 18.5741i | 0.0653498 | − | 0.669364i | ||||
\(771\) | 0.565415 | − | 0.447921i | 0.0203629 | − | 0.0161315i | ||||
\(772\) | −130.379 | − | 13.7033i | −4.69242 | − | 0.493194i | ||||
\(773\) | −33.6456 | − | 10.9321i | −1.21015 | − | 0.393201i | −0.366664 | − | 0.930354i | \(-0.619500\pi\) |
−0.843485 | + | 0.537152i | \(0.819500\pi\) | |||||||
\(774\) | 14.1152 | − | 9.80023i | 0.507359 | − | 0.352262i | ||||
\(775\) | −9.61296 | + | 6.98422i | −0.345308 | + | 0.250881i | ||||
\(776\) | 48.4216 | + | 21.5587i | 1.73823 | + | 0.773911i | ||||
\(777\) | −22.3718 | + | 11.0987i | −0.802582 | + | 0.398165i | ||||
\(778\) | 1.27613 | − | 1.14903i | 0.0457513 | − | 0.0411947i | ||||
\(779\) | 2.32876 | + | 5.23049i | 0.0834366 | + | 0.187402i | ||||
\(780\) | −14.4462 | + | 36.4614i | −0.517258 | + | 1.30553i | ||||
\(781\) | −28.9884 | − | 9.18235i | −1.03729 | − | 0.328570i | ||||
\(782\) | − | 64.9467i | − | 2.32249i | ||||||
\(783\) | −0.166025 | − | 0.477868i | −0.00593325 | − | 0.0170776i | ||||
\(784\) | 19.9344 | − | 61.3518i | 0.711943 | − | 2.19113i | ||||
\(785\) | −0.0918149 | − | 0.0826705i | −0.00327701 | − | 0.00295064i | ||||
\(786\) | 17.8129 | + | 69.4459i | 0.635365 | + | 2.47705i | ||||
\(787\) | −25.6484 | + | 2.69576i | −0.914267 | + | 0.0960933i | −0.549965 | − | 0.835188i | \(-0.685359\pi\) |
−0.364302 | + | 0.931281i | \(0.618692\pi\) | |||||||
\(788\) | −98.8396 | − | 21.0090i | −3.52101 | − | 0.748415i | ||||
\(789\) | 8.13336 | − | 48.0171i | 0.289555 | − | 1.70945i | ||||
\(790\) | −4.08257 | + | 38.8430i | −0.145251 | + | 1.38197i | ||||
\(791\) | 29.1938 | 1.03801 | ||||||||
\(792\) | 76.2102 | − | 42.5861i | 2.70801 | − | 1.51323i | ||||
\(793\) | −0.947564 | −0.0336490 | ||||||||
\(794\) | 7.10012 | − | 67.5531i | 0.251974 | − | 2.39737i | ||||
\(795\) | −0.789287 | + | 0.293317i | −0.0279931 | + | 0.0104029i | ||||
\(796\) | 133.761 | + | 28.4319i | 4.74105 | + | 1.00774i | ||||
\(797\) | 16.9653 | − | 1.78313i | 0.600943 | − | 0.0631617i | 0.200828 | − | 0.979627i | \(-0.435637\pi\) |
0.400115 | + | 0.916465i | \(0.368970\pi\) | |||||||
\(798\) | −8.12651 | − | 2.27107i | −0.287676 | − | 0.0803950i | ||||
\(799\) | −22.3943 | − | 20.1639i | −0.792252 | − | 0.713347i | ||||
\(800\) | 15.9893 | − | 49.2101i | 0.565308 | − | 1.73984i | ||||
\(801\) | −15.0771 | + | 2.86859i | −0.532722 | + | 0.101357i | ||||
\(802\) | − | 78.5813i | − | 2.77480i | ||||||
\(803\) | −13.6971 | + | 19.1488i | −0.483360 | + | 0.675745i | ||||
\(804\) | 30.9570 | − | 4.56372i | 1.09177 | − | 0.160950i | ||||
\(805\) | −4.93388 | − | 11.0817i | −0.173897 | − | 0.390578i | ||||
\(806\) | 24.3634 | − | 21.9369i | 0.858165 | − | 0.772696i | ||||
\(807\) | −1.48056 | + | 23.4429i | −0.0521181 | + | 0.825227i | ||||
\(808\) | 93.3200 | + | 41.5487i | 3.28299 | + | 1.46168i | ||||
\(809\) | −38.7684 | + | 28.1669i | −1.36302 | + | 0.990295i | −0.364778 | + | 0.931095i | \(0.618855\pi\) |
−0.998246 | + | 0.0592001i | \(0.981145\pi\) | |||||||
\(810\) | −12.8824 | − | 32.6288i | −0.452640 | − | 1.14646i | ||||
\(811\) | 45.0299 | + | 14.6311i | 1.58121 | + | 0.513768i | 0.962369 | − | 0.271745i | \(-0.0876009\pi\) |
0.618845 | + | 0.785513i | \(0.287601\pi\) | |||||||
\(812\) | −0.734827 | − | 0.0772334i | −0.0257874 | − | 0.00271036i | ||||
\(813\) | −17.9409 | − | 7.10830i | −0.629215 | − | 0.249299i | ||||
\(814\) | 59.2181 | − | 66.7550i | 2.07559 | − | 2.33976i | ||||
\(815\) | −3.67109 | − | 2.11951i | −0.128593 | − | 0.0742430i | ||||
\(816\) | −83.6081 | − | 43.7348i | −2.92687 | − | 1.53103i | ||||
\(817\) | 2.60530 | − | 0.553774i | 0.0911480 | − | 0.0193741i | ||||
\(818\) | −42.5510 | + | 13.8257i | −1.48776 | + | 0.483403i | ||||
\(819\) | −12.7901 | − | 1.62201i | −0.446921 | − | 0.0566775i | ||||
\(820\) | 20.4348 | + | 28.1261i | 0.713615 | + | 0.982207i | ||||
\(821\) | −11.7622 | + | 13.0632i | −0.410503 | + | 0.455910i | −0.912571 | − | 0.408918i | \(-0.865906\pi\) |
0.502068 | + | 0.864828i | \(0.332573\pi\) | |||||||
\(822\) | −6.05204 | − | 16.2854i | −0.211089 | − | 0.568020i | ||||
\(823\) | 26.1285 | − | 11.6332i | 0.910784 | − | 0.405507i | 0.102793 | − | 0.994703i | \(-0.467222\pi\) |
0.807990 | + | 0.589196i | \(0.200555\pi\) | |||||||
\(824\) | 14.6962 | − | 25.4545i | 0.511966 | − | 0.886751i | ||||
\(825\) | −16.4997 | + | 2.55727i | −0.574445 | + | 0.0890328i | ||||
\(826\) | −5.88546 | − | 10.1939i | −0.204781 | − | 0.354691i | ||||
\(827\) | −13.0031 | − | 9.44733i | −0.452163 | − | 0.328516i | 0.338286 | − | 0.941043i | \(-0.390153\pi\) |
−0.790449 | + | 0.612527i | \(0.790153\pi\) | |||||||
\(828\) | 47.4837 | − | 78.3199i | 1.65017 | − | 2.72181i | ||||
\(829\) | 0.324003 | + | 0.997179i | 0.0112531 | + | 0.0346335i | 0.956525 | − | 0.291649i | \(-0.0942039\pi\) |
−0.945272 | + | 0.326282i | \(0.894204\pi\) | |||||||
\(830\) | −9.45567 | + | 21.2378i | −0.328211 | + | 0.737174i | ||||
\(831\) | 11.8542 | + | 12.1109i | 0.411217 | + | 0.420123i | ||||
\(832\) | −13.4383 | + | 63.2222i | −0.465889 | + | 2.19184i | ||||
\(833\) | 13.6555 | + | 15.1660i | 0.473137 | + | 0.525471i | ||||
\(834\) | −42.5267 | − | 67.0469i | −1.47258 | − | 2.32165i | ||||
\(835\) | 5.58062 | − | 3.22197i | 0.193125 | − | 0.111501i | ||||
\(836\) | 21.7040 | − | 2.44366i | 0.750648 | − | 0.0845158i | ||||
\(837\) | −1.79280 | + | 21.1668i | −0.0619683 | + | 0.731633i | ||||
\(838\) | 14.8427 | − | 20.4292i | 0.512733 | − | 0.705716i | ||||
\(839\) | 4.36460 | + | 20.5338i | 0.150683 | + | 0.708907i | 0.987008 | + | 0.160673i | \(0.0513664\pi\) |
−0.836325 | + | 0.548234i | \(0.815300\pi\) | |||||||
\(840\) | −31.6805 | − | 2.00081i | −1.09308 | − | 0.0690346i | ||||
\(841\) | 3.03033 | + | 28.8317i | 0.104494 | + | 0.994197i | ||||
\(842\) | 0.932356 | + | 8.87077i | 0.0321311 | + | 0.305707i | ||||
\(843\) | 9.37940 | + | 18.9061i | 0.323044 | + | 0.651160i | ||||
\(844\) | 24.8518 | + | 116.919i | 0.855435 | + | 4.02451i | ||||
\(845\) | 3.51944 | − | 4.84410i | 0.121073 | − | 0.166642i | ||||
\(846\) | −16.9287 | − | 56.1683i | −0.582022 | − | 1.93111i | ||||
\(847\) | −13.6335 | + | 8.14260i | −0.468451 | + | 0.279783i | ||||
\(848\) | −3.81836 | + | 2.20453i | −0.131123 | + | 0.0757039i | ||||
\(849\) | −26.6389 | + | 1.11009i | −0.914244 | + | 0.0380980i | ||||
\(850\) | 21.7499 | + | 24.1557i | 0.746015 | + | 0.828534i | ||||
\(851\) | 12.0594 | − | 56.7350i | 0.413391 | − | 1.94485i | ||||
\(852\) | −22.4693 | + | 80.4014i | −0.769786 | + | 2.75451i | ||||
\(853\) | −2.15268 | + | 4.83501i | −0.0737065 | + | 0.165547i | −0.946641 | − | 0.322290i | \(-0.895547\pi\) |
0.872935 | + | 0.487837i | \(0.162214\pi\) | |||||||
\(854\) | −0.382533 | − | 1.17732i | −0.0130900 | − | 0.0402869i | ||||
\(855\) | 0.116486 | − | 5.43616i | 0.00398374 | − | 0.185913i | ||||
\(856\) | 67.1135 | + | 48.7608i | 2.29389 | + | 1.66661i | ||||
\(857\) | −3.88021 | − | 6.72072i | −0.132545 | − | 0.229575i | 0.792112 | − | 0.610376i | \(-0.208982\pi\) |
−0.924657 | + | 0.380801i | \(0.875648\pi\) | |||||||
\(858\) | 44.5372 | − | 11.7757i | 1.52047 | − | 0.402014i | ||||
\(859\) | 24.3358 | − | 42.1508i | 0.830326 | − | 1.43817i | −0.0674537 | − | 0.997722i | \(-0.521488\pi\) |
0.897780 | − | 0.440445i | \(-0.145179\pi\) | |||||||
\(860\) | 14.7749 | − | 6.57820i | 0.503819 | − | 0.224315i | ||||
\(861\) | −7.28698 | + | 8.80414i | −0.248340 | + | 0.300044i | ||||
\(862\) | 3.83666 | − | 4.26105i | 0.130677 | − | 0.145132i | ||||
\(863\) | 8.87079 | + | 12.2096i | 0.301965 | + | 0.415619i | 0.932854 | − | 0.360253i | \(-0.117310\pi\) |
−0.630889 | + | 0.775873i | \(0.717310\pi\) | |||||||
\(864\) | −47.8620 | − | 79.1584i | −1.62830 | − | 2.69302i | ||||
\(865\) | −14.3805 | + | 4.67250i | −0.488951 | + | 0.158870i | ||||
\(866\) | 40.5949 | − | 8.62871i | 1.37947 | − | 0.293215i | ||||
\(867\) | 0.342259 | − | 0.217089i | 0.0116237 | − | 0.00737273i | ||||
\(868\) | 26.8693 | + | 15.5130i | 0.912002 | + | 0.526545i | ||||
\(869\) | 28.6576 | − | 16.8294i | 0.972144 | − | 0.570899i | ||||
\(870\) | −0.0958604 | − | 0.650247i | −0.00324997 | − | 0.0220454i | ||||
\(871\) | 10.1741 | + | 1.06934i | 0.344737 | + | 0.0362334i | ||||
\(872\) | 34.3238 | + | 11.1525i | 1.16235 | + | 0.377671i | ||||
\(873\) | −18.0600 | + | 1.50780i | −0.611238 | + | 0.0510311i | ||||
\(874\) | 15.8547 | − | 11.5191i | 0.536294 | − | 0.389640i | ||||
\(875\) | 15.0871 | + | 6.71723i | 0.510038 | + | 0.227084i | ||||
\(876\) | 53.8279 | + | 35.7818i | 1.81868 | + | 1.20896i | ||||
\(877\) | −16.4615 | + | 14.8220i | −0.555866 | + | 0.500504i | −0.898505 | − | 0.438963i | \(-0.855346\pi\) |
0.342639 | + | 0.939467i | \(0.388679\pi\) | |||||||
\(878\) | 39.2320 | + | 88.1166i | 1.32402 | + | 2.97379i | ||||
\(879\) | 29.2752 | + | 36.9543i | 0.987426 | + | 1.24644i | ||||
\(880\) | 59.7442 | − | 19.9019i | 2.01398 | − | 0.670894i | ||||
\(881\) | 18.8235i | 0.634180i | 0.948395 | + | 0.317090i | \(0.102706\pi\) | ||||
−0.948395 | + | 0.317090i | \(0.897294\pi\) | |||||||
\(882\) | 7.42569 | + | 39.0288i | 0.250036 | + | 1.31417i | ||||
\(883\) | −11.7223 | + | 36.0776i | −0.394488 | + | 1.21411i | 0.534872 | + | 0.844933i | \(0.320360\pi\) |
−0.929360 | + | 0.369175i | \(0.879640\pi\) | |||||||
\(884\) | −48.2800 | − | 43.4715i | −1.62383 | − | 1.46211i | ||||
\(885\) | 5.42071 | − | 5.30580i | 0.182215 | − | 0.178353i | ||||
\(886\) | −32.1432 | + | 3.37839i | −1.07987 | + | 0.113499i | ||||
\(887\) | −28.4769 | − | 6.05295i | −0.956161 | − | 0.203238i | −0.296694 | − | 0.954972i | \(-0.595884\pi\) |
−0.659466 | + | 0.751734i | \(0.729218\pi\) | |||||||
\(888\) | −116.929 | − | 96.7792i | −3.92387 | − | 3.24770i | ||||
\(889\) | −0.0155287 | + | 0.147746i | −0.000520816 | + | 0.00495523i | ||||
\(890\) | −19.9403 | −0.668401 | ||||||||
\(891\) | −15.8317 | + | 25.3053i | −0.530381 | + | 0.847760i | ||||
\(892\) | −119.589 | −4.00414 | ||||||||
\(893\) | 0.950476 | − | 9.04317i | 0.0318065 | − | 0.302618i | ||||
\(894\) | 41.1636 | + | 34.0702i | 1.37672 | + | 1.13948i | ||||
\(895\) | 14.2588 | + | 3.03080i | 0.476619 | + | 0.101309i | ||||
\(896\) | −32.8583 | + | 3.45355i | −1.09772 | + | 0.115375i | ||||
\(897\) | 21.3989 | − | 20.9453i | 0.714489 | − | 0.699343i | ||||
\(898\) | 51.1187 | + | 46.0275i | 1.70585 | + | 1.53596i | ||||
\(899\) | −0.122993 | + | 0.378534i | −0.00410205 | + | 0.0126248i | ||||
\(900\) | 8.56775 | + | 45.0313i | 0.285592 | + | 1.50104i | ||||
\(901\) | − | 1.39484i | − | 0.0464688i | ||||||
\(902\) | 12.3316 | − | 38.9305i | 0.410597 | − | 1.29624i | ||||
\(903\) | 3.30140 | + | 4.16738i | 0.109864 | + | 0.138682i | ||||
\(904\) | 72.1692 | + | 162.095i | 2.40031 | + | 5.39119i | ||||
\(905\) | 16.6711 | − | 15.0107i | 0.554165 | − | 0.498972i | ||||
\(906\) | 4.13055 | + | 2.74577i | 0.137228 | + | 0.0912219i | ||||
\(907\) | −16.9502 | − | 7.54671i | −0.562822 | − | 0.250584i | 0.105547 | − | 0.994414i | \(-0.466341\pi\) |
−0.668369 | + | 0.743830i | \(0.733007\pi\) | |||||||
\(908\) | −34.5673 | + | 25.1146i | −1.14716 | + | 0.833458i | ||||
\(909\) | −34.8059 | + | 2.90588i | −1.15444 | + | 0.0963821i | ||||
\(910\) | −15.9308 | − | 5.17622i | −0.528100 | − | 0.171590i | ||||
\(911\) | 33.0374 | + | 3.47238i | 1.09458 | + | 0.115045i | 0.634567 | − | 0.772868i | \(-0.281178\pi\) |
0.460012 | + | 0.887913i | \(0.347845\pi\) | |||||||
\(912\) | −4.15245 | − | 28.1672i | −0.137501 | − | 0.932710i | ||||
\(913\) | 19.3183 | − | 4.25586i | 0.639344 | − | 0.140848i | ||||
\(914\) | 2.37949 | + | 1.37380i | 0.0787064 | + | 0.0454411i | ||||
\(915\) | 0.673631 | − | 0.427272i | 0.0222696 | − | 0.0141252i | ||||
\(916\) | −69.9002 | + | 14.8578i | −2.30957 | + | 0.490914i | ||||
\(917\) | −21.0963 | + | 6.85459i | −0.696660 | + | 0.226359i | ||||
\(918\) | 58.0987 | − | 1.17508i | 1.91754 | − | 0.0387834i | ||||
\(919\) | −10.8277 | − | 14.9031i | −0.357173 | − | 0.491606i | 0.592185 | − | 0.805802i | \(-0.298265\pi\) |
−0.949358 | + | 0.314195i | \(0.898265\pi\) | |||||||
\(920\) | 49.3326 | − | 54.7894i | 1.62645 | − | 1.80635i | ||||
\(921\) | −34.3233 | + | 41.4695i | −1.13099 | + | 1.36647i | ||||
\(922\) | −11.1336 | + | 4.95702i | −0.366667 | + | 0.163251i | ||||
\(923\) | −13.6464 | + | 23.6363i | −0.449178 | + | 0.777999i | ||||
\(924\) | 23.6233 | + | 36.6419i | 0.777149 | + | 1.20543i | ||||
\(925\) | 14.5146 | + | 25.1401i | 0.477238 | + | 0.826600i | ||||
\(926\) | 18.4200 | + | 13.3829i | 0.605320 | + | 0.439791i | ||||
\(927\) | −0.215295 | + | 10.0474i | −0.00707120 | + | 0.329998i | ||||
\(928\) | −0.535586 | − | 1.64836i | −0.0175815 | − | 0.0541102i | ||||
\(929\) | 11.9113 | − | 26.7533i | 0.390798 | − | 0.877747i | −0.605822 | − | 0.795600i | \(-0.707156\pi\) |
0.996620 | − | 0.0821472i | \(-0.0261777\pi\) | |||||||
\(930\) | −7.42845 | + | 26.5810i | −0.243588 | + | 0.871626i | ||||
\(931\) | −1.28033 | + | 6.02346i | −0.0419610 | + | 0.197411i | ||||
\(932\) | −17.7904 | − | 19.7582i | −0.582743 | − | 0.647202i | ||||
\(933\) | 9.88916 | − | 0.412097i | 0.323756 | − | 0.0134915i | ||||
\(934\) | −14.4710 | + | 8.35483i | −0.473505 | + | 0.273378i | ||||
\(935\) | −3.99765 | + | 19.5164i | −0.130737 | + | 0.638253i | ||||
\(936\) | −22.6119 | − | 75.0247i | −0.739095 | − | 2.45226i | ||||
\(937\) | −9.28756 | + | 12.7832i | −0.303411 | + | 0.417610i | −0.933312 | − | 0.359066i | \(-0.883095\pi\) |
0.629901 | + | 0.776675i | \(0.283095\pi\) | |||||||
\(938\) | 2.77869 | + | 13.0727i | 0.0907275 | + | 0.426839i | ||||
\(939\) | −20.3466 | − | 41.0127i | −0.663985 | − | 1.33840i | ||||
\(940\) | −5.77140 | − | 54.9112i | −0.188242 | − | 1.79101i | ||||
\(941\) | −0.865821 | − | 8.23774i | −0.0282250 | − | 0.268543i | −0.999529 | − | 0.0306999i | \(-0.990226\pi\) |
0.971304 | − | 0.237843i | \(-0.0764403\pi\) | |||||||
\(942\) | 0.397632 | + | 0.0251129i | 0.0129556 | + | 0.000818221i | ||||
\(943\) | −5.51873 | − | 25.9636i | −0.179715 | − | 0.845490i | ||||
\(944\) | 23.3457 | − | 32.1326i | 0.759839 | − | 1.04583i | ||||
\(945\) | 9.82395 | − | 4.61415i | 0.319573 | − | 0.150098i | ||||
\(946\) | −16.5220 | − | 9.37671i | −0.537178 | − | 0.304863i | ||||
\(947\) | −4.25424 | + | 2.45619i | −0.138244 | + | 0.0798154i | −0.567527 | − | 0.823355i | \(-0.692100\pi\) |
0.429283 | + | 0.903170i | \(0.358766\pi\) | |||||||
\(948\) | −48.8705 | − | 77.0485i | −1.58724 | − | 2.50242i | ||||
\(949\) | 14.1397 | + | 15.7037i | 0.458994 | + | 0.509764i | ||||
\(950\) | −2.03924 | + | 9.59388i | −0.0661617 | + | 0.311266i | ||||
\(951\) | −2.39871 | − | 2.45066i | −0.0777835 | − | 0.0794681i | ||||
\(952\) | 21.3879 | − | 48.0379i | 0.693185 | − | 1.55692i | ||||
\(953\) | 1.81366 | + | 5.58186i | 0.0587501 | + | 0.180814i | 0.976125 | − | 0.217211i | \(-0.0696958\pi\) |
−0.917375 | + | 0.398025i | \(0.869696\pi\) | |||||||
\(954\) | 1.40776 | − | 2.32197i | 0.0455779 | − | 0.0751765i | ||||
\(955\) | 4.34837 | + | 3.15927i | 0.140710 | + | 0.102232i | ||||
\(956\) | −53.0067 | − | 91.8103i | −1.71436 | − | 2.96936i | ||||
\(957\) | −0.396779 | + | 0.394158i | −0.0128260 | + | 0.0127413i | ||||
\(958\) | 30.0453 | − | 52.0401i | 0.970721 | − | 1.68134i | ||||
\(959\) | 4.91062 | − | 2.18635i | 0.158572 | − | 0.0706009i | ||||
\(960\) | −18.9545 | − | 51.0048i | −0.611755 | − | 1.64617i | ||||
\(961\) | −9.55992 | + | 10.6174i | −0.308384 | + | 0.342496i | ||||
\(962\) | −47.0782 | − | 64.7976i | −1.51786 | − | 2.08916i | ||||
\(963\) | −28.1387 | − | 3.56849i | −0.906758 | − | 0.114993i | ||||
\(964\) | 141.498 | − | 45.9756i | 4.55735 | − | 1.48077i | ||||
\(965\) | 35.2930 | − | 7.50176i | 1.13612 | − | 0.241490i | ||||
\(966\) | 34.6626 | + | 18.1318i | 1.11525 | + | 0.583380i | ||||
\(967\) | −15.1909 | − | 8.77049i | −0.488507 | − | 0.282040i | 0.235448 | − | 0.971887i | \(-0.424344\pi\) |
−0.723955 | + | 0.689847i | \(0.757678\pi\) | |||||||
\(968\) | −78.9135 | − | 55.5688i | −2.53638 | − | 1.78605i | ||||
\(969\) | 8.37389 | + | 3.31779i | 0.269008 | + | 0.106583i | ||||
\(970\) | −23.4171 | − | 2.46124i | −0.751878 | − | 0.0790255i | ||||
\(971\) | 46.6836 | + | 15.1684i | 1.49815 | + | 0.486778i | 0.939478 | − | 0.342610i | \(-0.111311\pi\) |
0.558672 | + | 0.829389i | \(0.311311\pi\) | |||||||
\(972\) | 70.9209 | + | 41.0599i | 2.27479 | + | 1.31700i | ||||
\(973\) | 19.8735 | − | 14.4390i | 0.637117 | − | 0.462892i | ||||
\(974\) | 83.8527 | + | 37.3336i | 2.68681 | + | 1.19625i | ||||
\(975\) | −0.944589 | + | 14.9564i | −0.0302511 | + | 0.478989i | ||||
\(976\) | 3.10412 | − | 2.79496i | 0.0993605 | − | 0.0894646i | ||||
\(977\) | 5.10387 | + | 11.4635i | 0.163287 | + | 0.366749i | 0.976596 | − | 0.215084i | \(-0.0690025\pi\) |
−0.813308 | + | 0.581833i | \(0.802336\pi\) | |||||||
\(978\) | 13.5239 | − | 1.99371i | 0.432447 | − | 0.0637520i | ||||
\(979\) | 10.0744 | + | 13.6527i | 0.321980 | + | 0.436342i | ||||
\(980\) | 37.3923i | 1.19445i | ||||||||
\(981\) | −12.1223 | + | 2.30641i | −0.387035 | + | 0.0736381i | ||||
\(982\) | −15.6708 | + | 48.2298i | −0.500076 | + | 1.53908i | ||||
\(983\) | −15.6637 | − | 14.1037i | −0.499594 | − | 0.449837i | 0.380399 | − | 0.924822i | \(-0.375787\pi\) |
−0.879994 | + | 0.474986i | \(0.842453\pi\) | |||||||
\(984\) | −66.8977 | − | 18.6955i | −2.13262 | − | 0.595991i | ||||
\(985\) | 27.6588 | − | 2.90706i | 0.881282 | − | 0.0926265i | ||||
\(986\) | 1.06500 | + | 0.226373i | 0.0339165 | + | 0.00720917i | ||||
\(987\) | 17.0136 | − | 6.32265i | 0.541549 | − | 0.201252i | ||||
\(988\) | 2.04914 | − | 19.4963i | 0.0651919 | − | 0.620259i | ||||
\(989\) | −12.3481 | −0.392648 | ||||||||
\(990\) | −26.3520 | + | 28.4540i | −0.837522 | + | 0.904326i | ||||
\(991\) | 60.3045 | 1.91564 | 0.957818 | − | 0.287375i | \(-0.0927826\pi\) | ||||
0.957818 | + | 0.287375i | \(0.0927826\pi\) | |||||||
\(992\) | −7.60738 | + | 72.3794i | −0.241535 | + | 2.29805i | ||||
\(993\) | −1.17937 | + | 6.96269i | −0.0374262 | + | 0.220954i | ||||
\(994\) | −34.8764 | − | 7.41321i | −1.10621 | − | 0.235133i | ||||
\(995\) | −37.4311 | + | 3.93417i | −1.18665 | + | 0.124722i | ||||
\(996\) | −13.4933 | − | 52.6055i | −0.427552 | − | 1.66687i | ||||
\(997\) | −41.7692 | − | 37.6091i | −1.32284 | − | 1.19109i | −0.966479 | − | 0.256747i | \(-0.917349\pi\) |
−0.356365 | − | 0.934347i | \(-0.615984\pi\) | |||||||
\(998\) | 6.32493 | − | 19.4661i | 0.200212 | − | 0.616190i | ||||
\(999\) | 50.9710 | + | 9.76134i | 1.61265 | + | 0.308835i |
(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 | 99.2.p.a.95.1 | yes | 80 | |
3.2 | odd | 2 | 297.2.t.a.260.10 | 80 | |||
9.2 | odd | 6 | inner | 99.2.p.a.29.1 | ✓ | 80 | |
9.4 | even | 3 | 891.2.k.a.161.1 | 80 | |||
9.5 | odd | 6 | 891.2.k.a.161.20 | 80 | |||
9.7 | even | 3 | 297.2.t.a.62.10 | 80 | |||
11.8 | odd | 10 | inner | 99.2.p.a.41.1 | yes | 80 | |
33.8 | even | 10 | 297.2.t.a.206.10 | 80 | |||
99.41 | even | 30 | 891.2.k.a.404.1 | 80 | |||
99.52 | odd | 30 | 297.2.t.a.8.10 | 80 | |||
99.74 | even | 30 | inner | 99.2.p.a.74.1 | yes | 80 | |
99.85 | odd | 30 | 891.2.k.a.404.20 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.p.a.29.1 | ✓ | 80 | 9.2 | odd | 6 | inner | |
99.2.p.a.41.1 | yes | 80 | 11.8 | odd | 10 | inner | |
99.2.p.a.74.1 | yes | 80 | 99.74 | even | 30 | inner | |
99.2.p.a.95.1 | yes | 80 | 1.1 | even | 1 | trivial | |
297.2.t.a.8.10 | 80 | 99.52 | odd | 30 | |||
297.2.t.a.62.10 | 80 | 9.7 | even | 3 | |||
297.2.t.a.206.10 | 80 | 33.8 | even | 10 | |||
297.2.t.a.260.10 | 80 | 3.2 | odd | 2 | |||
891.2.k.a.161.1 | 80 | 9.4 | even | 3 | |||
891.2.k.a.161.20 | 80 | 9.5 | odd | 6 | |||
891.2.k.a.404.1 | 80 | 99.41 | even | 30 | |||
891.2.k.a.404.20 | 80 | 99.85 | odd | 30 |