Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [507,2,Mod(40,507)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(507, base_ring=CyclotomicField(26))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("507.40");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 507 = 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 507.m (of order \(13\), degree \(12\), 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: | \(4.04841538248\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{13})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{13}]$ |
Embedding invariants
Embedding label | 40.1 | ||
Character | \(\chi\) | \(=\) | 507.40 |
Dual form | 507.2.m.b.469.1 |
$q$-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 \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{13}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.61147 | − | 0.643669i | −1.84659 | − | 0.455143i | −0.849244 | − | 0.528000i | \(-0.822942\pi\) |
−0.997342 | + | 0.0728572i | \(0.976788\pi\) | |||||||
\(3\) | 0.120537 | − | 0.992709i | 0.0695919 | − | 0.573141i | ||||
\(4\) | 4.63454 | + | 2.43240i | 2.31727 | + | 1.21620i | ||||
\(5\) | 2.12219 | − | 3.07452i | 0.949072 | − | 1.37497i | 0.0221329 | − | 0.999755i | \(-0.492954\pi\) |
0.926939 | − | 0.375213i | \(-0.122430\pi\) | |||||||
\(6\) | −0.953754 | + | 2.51484i | −0.389368 | + | 1.02668i | ||||
\(7\) | 1.40227 | + | 1.24231i | 0.530010 | + | 0.469548i | 0.885177 | − | 0.465255i | \(-0.154037\pi\) |
−0.355167 | + | 0.934803i | \(0.615576\pi\) | |||||||
\(8\) | −6.51088 | − | 5.76814i | −2.30194 | − | 2.03934i | ||||
\(9\) | −0.970942 | − | 0.239316i | −0.323647 | − | 0.0797719i | ||||
\(10\) | −7.52100 | + | 6.66303i | −2.37835 | + | 2.10703i | ||||
\(11\) | −5.22623 | + | 1.28815i | −1.57577 | + | 0.388392i | −0.927741 | − | 0.373225i | \(-0.878252\pi\) |
−0.648028 | + | 0.761617i | \(0.724406\pi\) | |||||||
\(12\) | 2.97329 | − | 4.30756i | 0.858316 | − | 1.24349i | ||||
\(13\) | −1.29429 | − | 3.36524i | −0.358970 | − | 0.933349i | ||||
\(14\) | −2.86236 | − | 4.14684i | −0.764998 | − | 1.10829i | ||||
\(15\) | −2.79630 | − | 2.47731i | −0.722002 | − | 0.639638i | ||||
\(16\) | 7.34360 | + | 10.6390i | 1.83590 | + | 2.65976i | ||||
\(17\) | −0.866644 | − | 0.767780i | −0.210192 | − | 0.186214i | 0.551458 | − | 0.834203i | \(-0.314072\pi\) |
−0.761650 | + | 0.647989i | \(0.775610\pi\) | |||||||
\(18\) | 2.38154 | + | 1.24993i | 0.561335 | + | 0.294611i | ||||
\(19\) | −6.22921 | −1.42908 | −0.714539 | − | 0.699595i | \(-0.753364\pi\) | ||||
−0.714539 | + | 0.699595i | \(0.753364\pi\) | |||||||
\(20\) | 17.3138 | − | 9.08700i | 3.87149 | − | 2.03191i | ||||
\(21\) | 1.40227 | − | 1.24231i | 0.306001 | − | 0.271093i | ||||
\(22\) | 14.4773 | 3.08657 | ||||||||
\(23\) | 5.40105 | 1.12620 | 0.563099 | − | 0.826390i | \(-0.309609\pi\) | ||||
0.563099 | + | 0.826390i | \(0.309609\pi\) | |||||||
\(24\) | −6.51088 | + | 5.76814i | −1.32903 | + | 1.17742i | ||||
\(25\) | −3.17597 | − | 8.37435i | −0.635194 | − | 1.67487i | ||||
\(26\) | 1.21389 | + | 9.62130i | 0.238063 | + | 1.88689i | ||||
\(27\) | −0.354605 | + | 0.935016i | −0.0682437 | + | 0.179944i | ||||
\(28\) | 3.47712 | + | 9.16841i | 0.657114 | + | 1.73267i | ||||
\(29\) | −3.28220 | − | 0.808990i | −0.609490 | − | 0.150226i | −0.0775223 | − | 0.996991i | \(-0.524701\pi\) |
−0.531967 | + | 0.846765i | \(0.678547\pi\) | |||||||
\(30\) | 5.70789 | + | 8.26930i | 1.04211 | + | 1.50976i | ||||
\(31\) | 2.08959 | − | 5.50979i | 0.375301 | − | 0.989588i | −0.605718 | − | 0.795679i | \(-0.707114\pi\) |
0.981020 | − | 0.193909i | \(-0.0621166\pi\) | |||||||
\(32\) | −6.16053 | − | 16.2440i | −1.08904 | − | 2.87156i | ||||
\(33\) | 0.648806 | + | 5.34340i | 0.112943 | + | 0.930166i | ||||
\(34\) | 1.76902 | + | 2.56287i | 0.303384 | + | 0.439528i | ||||
\(35\) | 6.79539 | − | 1.67491i | 1.14863 | − | 0.283112i | ||||
\(36\) | −3.91776 | − | 3.47083i | −0.652960 | − | 0.578472i | ||||
\(37\) | 0.0274000 | − | 0.0722479i | 0.00450454 | − | 0.0118775i | −0.932745 | − | 0.360536i | \(-0.882594\pi\) |
0.937250 | + | 0.348659i | \(0.113363\pi\) | |||||||
\(38\) | 16.2674 | + | 4.00955i | 2.63892 | + | 0.650435i | ||||
\(39\) | −3.49671 | + | 0.879215i | −0.559922 | + | 0.140787i | ||||
\(40\) | −31.5516 | + | 7.77676i | −4.98874 | + | 1.22961i | ||||
\(41\) | 1.53891 | − | 12.6741i | 0.240338 | − | 1.97936i | 0.0426726 | − | 0.999089i | \(-0.486413\pi\) |
0.197665 | − | 0.980270i | \(-0.436664\pi\) | |||||||
\(42\) | −4.46163 | + | 2.34164i | −0.688444 | + | 0.361323i | ||||
\(43\) | 0.817583 | + | 2.15579i | 0.124680 | + | 0.328755i | 0.982794 | − | 0.184705i | \(-0.0591329\pi\) |
−0.858114 | + | 0.513460i | \(0.828364\pi\) | |||||||
\(44\) | −27.3545 | − | 6.74228i | −4.12385 | − | 1.01644i | ||||
\(45\) | −2.79630 | + | 2.47731i | −0.416848 | + | 0.369295i | ||||
\(46\) | −14.1047 | − | 3.47649i | −2.07962 | − | 0.512581i | ||||
\(47\) | −8.55546 | + | 4.49025i | −1.24794 | + | 0.654970i | −0.953700 | − | 0.300761i | \(-0.902759\pi\) |
−0.294242 | + | 0.955731i | \(0.595067\pi\) | |||||||
\(48\) | 11.4466 | − | 6.00766i | 1.65218 | − | 0.867131i | ||||
\(49\) | −0.420710 | − | 3.46485i | −0.0601014 | − | 0.494979i | ||||
\(50\) | 2.90364 | + | 23.9136i | 0.410637 | + | 3.38190i | ||||
\(51\) | −0.866644 | + | 0.767780i | −0.121354 | + | 0.107511i | ||||
\(52\) | 2.18717 | − | 18.7446i | 0.303305 | − | 2.59940i | ||||
\(53\) | 4.11484 | + | 3.64543i | 0.565216 | + | 0.500738i | 0.896650 | − | 0.442741i | \(-0.145994\pi\) |
−0.331433 | + | 0.943479i | \(0.607532\pi\) | |||||||
\(54\) | 1.52788 | − | 2.21352i | 0.207918 | − | 0.301221i | ||||
\(55\) | −7.13061 | + | 18.8019i | −0.961491 | + | 2.53524i | ||||
\(56\) | −1.96425 | − | 16.1770i | −0.262483 | − | 2.16174i | ||||
\(57\) | −0.750848 | + | 6.18379i | −0.0994523 | + | 0.819063i | ||||
\(58\) | 8.05064 | + | 4.22530i | 1.05710 | + | 0.554810i | ||||
\(59\) | −3.76873 | + | 5.45995i | −0.490647 | + | 0.710824i | −0.987607 | − | 0.156949i | \(-0.949834\pi\) |
0.496960 | + | 0.867773i | \(0.334450\pi\) | |||||||
\(60\) | −6.93379 | − | 18.2829i | −0.895149 | − | 2.36031i | ||||
\(61\) | −1.87981 | + | 1.66537i | −0.240685 | + | 0.213228i | −0.774839 | − | 0.632159i | \(-0.782169\pi\) |
0.534153 | + | 0.845388i | \(0.320630\pi\) | |||||||
\(62\) | −9.00338 | + | 13.0436i | −1.14343 | + | 1.65654i | ||||
\(63\) | −1.06422 | − | 1.54179i | −0.134079 | − | 0.194248i | ||||
\(64\) | 2.51583 | + | 20.7197i | 0.314478 | + | 2.58996i | ||||
\(65\) | −13.0932 | − | 3.16236i | −1.62401 | − | 0.392242i | ||||
\(66\) | 1.74504 | − | 14.3717i | 0.214800 | − | 1.76904i | ||||
\(67\) | 11.3530 | − | 5.95851i | 1.38699 | − | 0.727948i | 0.404547 | − | 0.914517i | \(-0.367429\pi\) |
0.982442 | + | 0.186569i | \(0.0597369\pi\) | |||||||
\(68\) | −2.14896 | − | 5.66633i | −0.260599 | − | 0.687144i | ||||
\(69\) | 0.651025 | − | 5.36167i | 0.0783742 | − | 0.645470i | ||||
\(70\) | −18.8240 | −2.24990 | ||||||||
\(71\) | 0.00304702 | − | 0.0250945i | 0.000361615 | − | 0.00297817i | −0.992527 | − | 0.122026i | \(-0.961061\pi\) |
0.992889 | + | 0.119047i | \(0.0379841\pi\) | |||||||
\(72\) | 4.94128 | + | 7.15868i | 0.582336 | + | 0.843659i | ||||
\(73\) | 1.08373 | − | 0.267116i | 0.126841 | − | 0.0312635i | −0.175384 | − | 0.984500i | \(-0.556117\pi\) |
0.302225 | + | 0.953237i | \(0.402271\pi\) | |||||||
\(74\) | −0.118058 | + | 0.171037i | −0.0137240 | + | 0.0198826i | ||||
\(75\) | −8.69611 | + | 2.14340i | −1.00414 | + | 0.247498i | ||||
\(76\) | −28.8695 | − | 15.1519i | −3.31156 | − | 1.73804i | ||||
\(77\) | −8.92889 | − | 4.68624i | −1.01754 | − | 0.534047i | ||||
\(78\) | 9.69747 | − | 0.0453164i | 1.09802 | − | 0.00513108i | ||||
\(79\) | −2.67833 | + | 1.40570i | −0.301336 | + | 0.158153i | −0.608614 | − | 0.793466i | \(-0.708274\pi\) |
0.307278 | + | 0.951620i | \(0.400582\pi\) | |||||||
\(80\) | 48.2944 | 5.39948 | ||||||||
\(81\) | 0.885456 | + | 0.464723i | 0.0983840 | + | 0.0516359i | ||||
\(82\) | −12.1767 | + | 32.1074i | −1.34470 | + | 3.54567i | ||||
\(83\) | −1.01578 | − | 8.36573i | −0.111497 | − | 0.918258i | −0.935903 | − | 0.352259i | \(-0.885414\pi\) |
0.824406 | − | 0.565999i | \(-0.191509\pi\) | |||||||
\(84\) | 9.52068 | − | 2.34664i | 1.03879 | − | 0.256039i | ||||
\(85\) | −4.19974 | + | 1.03514i | −0.455526 | + | 0.112277i | ||||
\(86\) | −0.747477 | − | 6.15603i | −0.0806025 | − | 0.663822i | ||||
\(87\) | −1.19872 | + | 3.16076i | −0.128516 | + | 0.338869i | ||||
\(88\) | 41.4576 | + | 21.7586i | 4.41940 | + | 2.31948i | ||||
\(89\) | 11.7255 | 1.24290 | 0.621448 | − | 0.783455i | \(-0.286545\pi\) | ||||
0.621448 | + | 0.783455i | \(0.286545\pi\) | |||||||
\(90\) | 8.89702 | − | 4.66952i | 0.937829 | − | 0.492210i | ||||
\(91\) | 2.36571 | − | 6.32688i | 0.247994 | − | 0.663238i | ||||
\(92\) | 25.0314 | + | 13.1375i | 2.60971 | + | 1.36968i | ||||
\(93\) | −5.21775 | − | 2.73849i | −0.541055 | − | 0.283968i | ||||
\(94\) | 25.2325 | − | 6.21926i | 2.60254 | − | 0.641468i | ||||
\(95\) | −13.2196 | + | 19.1518i | −1.35630 | + | 1.96494i | ||||
\(96\) | −16.8681 | + | 4.15762i | −1.72159 | + | 0.424335i | ||||
\(97\) | −1.11642 | − | 1.61741i | −0.113355 | − | 0.164223i | 0.762200 | − | 0.647342i | \(-0.224119\pi\) |
−0.875555 | + | 0.483118i | \(0.839504\pi\) | |||||||
\(98\) | −1.13155 | + | 9.31916i | −0.114304 | + | 0.941377i | ||||
\(99\) | 5.38264 | 0.540976 | ||||||||
\(100\) | 5.65055 | − | 46.5365i | 0.565055 | − | 4.65365i | ||||
\(101\) | 3.16475 | + | 8.34476i | 0.314904 | + | 0.830334i | 0.995242 | + | 0.0974355i | \(0.0310640\pi\) |
−0.680338 | + | 0.732899i | \(0.738167\pi\) | |||||||
\(102\) | 2.75741 | − | 1.44720i | 0.273024 | − | 0.143294i | ||||
\(103\) | −0.329531 | + | 2.71393i | −0.0324696 | + | 0.267411i | 0.967429 | + | 0.253144i | \(0.0814647\pi\) |
−0.999898 | + | 0.0142673i | \(0.995458\pi\) | |||||||
\(104\) | −10.9842 | + | 29.3763i | −1.07709 | + | 2.88058i | ||||
\(105\) | −0.843607 | − | 6.94773i | −0.0823276 | − | 0.678029i | ||||
\(106\) | −8.39931 | − | 12.1685i | −0.815814 | − | 1.18191i | ||||
\(107\) | 4.63441 | − | 6.71410i | 0.448025 | − | 0.649076i | −0.532279 | − | 0.846569i | \(-0.678664\pi\) |
0.980304 | + | 0.197492i | \(0.0632798\pi\) | |||||||
\(108\) | −3.91776 | + | 3.47083i | −0.376987 | + | 0.333981i | ||||
\(109\) | −1.47909 | − | 3.90004i | −0.141671 | − | 0.373556i | 0.845336 | − | 0.534236i | \(-0.179401\pi\) |
−0.987007 | + | 0.160680i | \(0.948631\pi\) | |||||||
\(110\) | 30.7235 | − | 44.5107i | 2.92937 | − | 4.24393i | ||||
\(111\) | −0.0684185 | − | 0.0359088i | −0.00649399 | − | 0.00340831i | ||||
\(112\) | −2.91921 | + | 24.0418i | −0.275839 | + | 2.27174i | ||||
\(113\) | 0.230800 | + | 1.90081i | 0.0217118 | + | 0.178813i | 0.999530 | − | 0.0306405i | \(-0.00975469\pi\) |
−0.977819 | + | 0.209453i | \(0.932832\pi\) | |||||||
\(114\) | 5.94113 | − | 15.6655i | 0.556438 | − | 1.46721i | ||||
\(115\) | 11.4621 | − | 16.6057i | 1.06884 | − | 1.54849i | ||||
\(116\) | −13.2437 | − | 11.7329i | −1.22965 | − | 1.08937i | ||||
\(117\) | 0.451322 | + | 3.57719i | 0.0417248 | + | 0.330712i | ||||
\(118\) | 13.3563 | − | 11.8327i | 1.22955 | − | 1.08928i | ||||
\(119\) | −0.261455 | − | 2.15328i | −0.0239675 | − | 0.197390i | ||||
\(120\) | 3.91694 | + | 32.2589i | 0.357566 | + | 2.94482i | ||||
\(121\) | 15.9142 | − | 8.35239i | 1.44674 | − | 0.759309i | ||||
\(122\) | 5.98101 | − | 3.13908i | 0.541495 | − | 0.284199i | ||||
\(123\) | −12.3962 | − | 3.05538i | −1.11773 | − | 0.275495i | ||||
\(124\) | 23.0863 | − | 20.4527i | 2.07321 | − | 1.83670i | ||||
\(125\) | −14.3508 | − | 3.53715i | −1.28357 | − | 0.316372i | ||||
\(126\) | 1.78678 | + | 4.71135i | 0.159179 | + | 0.419721i | ||||
\(127\) | 8.75784 | − | 4.59647i | 0.777132 | − | 0.407870i | −0.0290199 | − | 0.999579i | \(-0.509239\pi\) |
0.806152 | + | 0.591708i | \(0.201546\pi\) | |||||||
\(128\) | 2.57847 | − | 21.2356i | 0.227907 | − | 1.87698i | ||||
\(129\) | 2.23862 | − | 0.551770i | 0.197100 | − | 0.0485807i | ||||
\(130\) | 32.1570 | + | 16.6861i | 2.82036 | + | 1.46347i | ||||
\(131\) | −6.07066 | − | 1.49628i | −0.530396 | − | 0.130731i | −0.0349820 | − | 0.999388i | \(-0.511137\pi\) |
−0.495414 | + | 0.868657i | \(0.664984\pi\) | |||||||
\(132\) | −9.99034 | + | 26.3424i | −0.869547 | + | 2.29281i | ||||
\(133\) | −8.73506 | − | 7.73858i | −0.757425 | − | 0.671020i | ||||
\(134\) | −33.4833 | + | 8.25289i | −2.89252 | + | 0.712941i | ||||
\(135\) | 2.12219 | + | 3.07452i | 0.182649 | + | 0.264613i | ||||
\(136\) | 1.21396 | + | 9.99785i | 0.104096 | + | 0.857308i | ||||
\(137\) | 1.89889 | + | 5.00696i | 0.162233 | + | 0.427774i | 0.991341 | − | 0.131316i | \(-0.0419202\pi\) |
−0.829108 | + | 0.559089i | \(0.811151\pi\) | |||||||
\(138\) | −5.15128 | + | 13.5828i | −0.438506 | + | 1.15624i | ||||
\(139\) | 3.11898 | + | 4.51863i | 0.264549 | + | 0.383265i | 0.932636 | − | 0.360818i | \(-0.117502\pi\) |
−0.668088 | + | 0.744083i | \(0.732887\pi\) | |||||||
\(140\) | 35.5676 | + | 8.76662i | 3.00601 | + | 0.740914i | ||||
\(141\) | 3.42627 | + | 9.03432i | 0.288544 | + | 0.760827i | ||||
\(142\) | −0.0241097 | + | 0.0635722i | −0.00202324 | + | 0.00533486i | ||||
\(143\) | 11.0992 | + | 15.9203i | 0.928159 | + | 1.33132i | ||||
\(144\) | −4.58412 | − | 12.0873i | −0.382010 | − | 1.00728i | ||||
\(145\) | −9.45271 | + | 8.37437i | −0.785005 | + | 0.695453i | ||||
\(146\) | −3.00206 | −0.248453 | ||||||||
\(147\) | −3.49030 | −0.287875 | ||||||||
\(148\) | 0.302722 | − | 0.268189i | 0.0248836 | − | 0.0220450i | ||||
\(149\) | −15.0666 | + | 7.90756i | −1.23430 | + | 0.647813i | −0.950397 | − | 0.311039i | \(-0.899323\pi\) |
−0.283907 | + | 0.958852i | \(0.591631\pi\) | |||||||
\(150\) | 24.0893 | 1.96688 | ||||||||
\(151\) | 8.08530 | + | 4.24349i | 0.657972 | + | 0.345330i | 0.760442 | − | 0.649406i | \(-0.224982\pi\) |
−0.102470 | + | 0.994736i | \(0.532675\pi\) | |||||||
\(152\) | 40.5576 | + | 35.9309i | 3.28966 | + | 2.91438i | ||||
\(153\) | 0.657720 | + | 0.952871i | 0.0531735 | + | 0.0770351i | ||||
\(154\) | 20.3011 | + | 17.9852i | 1.63591 | + | 1.44929i | ||||
\(155\) | −12.5055 | − | 18.1173i | −1.00446 | − | 1.45522i | ||||
\(156\) | −18.3443 | − | 4.43063i | −1.46872 | − | 0.354734i | ||||
\(157\) | 0.885475 | − | 1.28283i | 0.0706686 | − | 0.102381i | −0.786056 | − | 0.618155i | \(-0.787880\pi\) |
0.856725 | + | 0.515774i | \(0.172496\pi\) | |||||||
\(158\) | 7.89919 | − | 1.94697i | 0.628426 | − | 0.154893i | ||||
\(159\) | 4.11484 | − | 3.64543i | 0.326328 | − | 0.289101i | ||||
\(160\) | −63.0163 | − | 15.5321i | −4.98187 | − | 1.22792i | ||||
\(161\) | 7.57376 | + | 6.70976i | 0.596896 | + | 0.528803i | ||||
\(162\) | −2.01321 | − | 1.78355i | −0.158173 | − | 0.140129i | ||||
\(163\) | 1.93275 | − | 5.09623i | 0.151384 | − | 0.399168i | −0.837775 | − | 0.546016i | \(-0.816144\pi\) |
0.989159 | + | 0.146848i | \(0.0469129\pi\) | |||||||
\(164\) | 37.9605 | − | 54.9953i | 2.96422 | − | 4.29441i | ||||
\(165\) | 17.8053 | + | 9.34493i | 1.38614 | + | 0.727502i | ||||
\(166\) | −2.73208 | + | 22.5007i | −0.212050 | + | 1.74639i | ||||
\(167\) | 2.41696 | + | 0.595727i | 0.187030 | + | 0.0460987i | 0.331718 | − | 0.943379i | \(-0.392372\pi\) |
−0.144688 | + | 0.989477i | \(0.546218\pi\) | |||||||
\(168\) | −16.2958 | −1.25725 | ||||||||
\(169\) | −9.64965 | + | 8.71116i | −0.742281 | + | 0.670089i | ||||
\(170\) | 11.6338 | 0.892270 | ||||||||
\(171\) | 6.04820 | + | 1.49075i | 0.462517 | + | 0.114000i | ||||
\(172\) | −1.45461 | + | 11.9798i | −0.110913 | + | 0.913450i | ||||
\(173\) | 0.890906 | + | 0.467584i | 0.0677343 | + | 0.0355497i | 0.498250 | − | 0.867033i | \(-0.333976\pi\) |
−0.430516 | + | 0.902583i | \(0.641668\pi\) | |||||||
\(174\) | 5.16489 | − | 7.48264i | 0.391550 | − | 0.567258i | ||||
\(175\) | 5.94992 | − | 15.6887i | 0.449772 | − | 1.18595i | ||||
\(176\) | −52.0840 | − | 46.1424i | −3.92598 | − | 3.47812i | ||||
\(177\) | 4.96587 | + | 4.39937i | 0.373257 | + | 0.330677i | ||||
\(178\) | −30.6207 | − | 7.54732i | −2.29512 | − | 0.565696i | ||||
\(179\) | −9.53955 | + | 8.45131i | −0.713020 | + | 0.631680i | −0.939585 | − | 0.342316i | \(-0.888789\pi\) |
0.226565 | + | 0.973996i | \(0.427250\pi\) | |||||||
\(180\) | −18.9854 | + | 4.67948i | −1.41509 | + | 0.348788i | ||||
\(181\) | 3.40324 | − | 4.93045i | 0.252961 | − | 0.366477i | −0.675845 | − | 0.737044i | \(-0.736221\pi\) |
0.928806 | + | 0.370567i | \(0.120836\pi\) | |||||||
\(182\) | −10.2504 | + | 14.9997i | −0.759810 | + | 1.11185i | ||||
\(183\) | 1.42664 | + | 2.06684i | 0.105460 | + | 0.152785i | ||||
\(184\) | −35.1656 | − | 31.1540i | −2.59244 | − | 2.29670i | ||||
\(185\) | −0.163980 | − | 0.237566i | −0.0120560 | − | 0.0174662i | ||||
\(186\) | 11.8633 | + | 10.5100i | 0.869860 | + | 0.770628i | ||||
\(187\) | 5.51830 | + | 2.89623i | 0.403538 | + | 0.211793i | ||||
\(188\) | −50.5727 | −3.68839 | ||||||||
\(189\) | −1.65883 | + | 0.870621i | −0.120662 | + | 0.0633284i | ||||
\(190\) | 46.8499 | − | 41.5054i | 3.39885 | − | 3.01112i | ||||
\(191\) | 1.38212 | 0.100007 | 0.0500033 | − | 0.998749i | \(-0.484077\pi\) | ||||
0.0500033 | + | 0.998749i | \(0.484077\pi\) | |||||||
\(192\) | 20.8719 | 1.50630 | ||||||||
\(193\) | −4.01235 | + | 3.55463i | −0.288815 | + | 0.255868i | −0.795072 | − | 0.606515i | \(-0.792567\pi\) |
0.506257 | + | 0.862383i | \(0.331029\pi\) | |||||||
\(194\) | 1.87442 | + | 4.94243i | 0.134575 | + | 0.354846i | ||||
\(195\) | −4.71752 | + | 12.6166i | −0.337828 | + | 0.903491i | ||||
\(196\) | 6.47810 | − | 17.0814i | 0.462722 | − | 1.22010i | ||||
\(197\) | −1.08090 | − | 2.85009i | −0.0770107 | − | 0.203061i | 0.890982 | − | 0.454038i | \(-0.150017\pi\) |
−0.967993 | + | 0.250978i | \(0.919248\pi\) | |||||||
\(198\) | −14.0566 | − | 3.46464i | −0.998959 | − | 0.246221i | ||||
\(199\) | 0.162401 | + | 0.235278i | 0.0115123 | + | 0.0166784i | 0.828698 | − | 0.559696i | \(-0.189082\pi\) |
−0.817185 | + | 0.576375i | \(0.804467\pi\) | |||||||
\(200\) | −27.6260 | + | 72.8438i | −1.95345 | + | 5.15084i | ||||
\(201\) | −4.54661 | − | 11.9884i | −0.320693 | − | 0.845599i | ||||
\(202\) | −2.89338 | − | 23.8291i | −0.203577 | − | 1.67661i | ||||
\(203\) | −3.59753 | − | 5.21193i | −0.252497 | − | 0.365805i | ||||
\(204\) | −5.88405 | + | 1.45029i | −0.411966 | + | 0.101540i | ||||
\(205\) | −35.7009 | − | 31.6282i | −2.49346 | − | 2.20901i | ||||
\(206\) | 2.60743 | − | 6.87523i | 0.181668 | − | 0.479020i | ||||
\(207\) | −5.24411 | − | 1.29256i | −0.364491 | − | 0.0898389i | ||||
\(208\) | 26.2982 | − | 38.4829i | 1.82345 | − | 2.66831i | ||||
\(209\) | 32.5553 | − | 8.02416i | 2.25190 | − | 0.555043i | ||||
\(210\) | −2.26899 | + | 18.6868i | −0.156575 | + | 1.28951i | ||||
\(211\) | 6.88323 | − | 3.61260i | 0.473861 | − | 0.248701i | −0.210847 | − | 0.977519i | \(-0.567622\pi\) |
0.684708 | + | 0.728818i | \(0.259930\pi\) | |||||||
\(212\) | 10.2033 | + | 26.9038i | 0.700763 | + | 1.84776i | ||||
\(213\) | −0.0245442 | − | 0.00604961i | −0.00168174 | − | 0.000414513i | ||||
\(214\) | −16.4243 | + | 14.5506i | −1.12274 | + | 0.994660i | ||||
\(215\) | 8.36309 | + | 2.06132i | 0.570358 | + | 0.140581i | ||||
\(216\) | 7.70209 | − | 4.04237i | 0.524061 | − | 0.275048i | ||||
\(217\) | 9.77502 | − | 5.13033i | 0.663572 | − | 0.348269i | ||||
\(218\) | 1.35226 | + | 11.1369i | 0.0915866 | + | 0.754283i | ||||
\(219\) | −0.134539 | − | 1.10803i | −0.00909129 | − | 0.0748735i | ||||
\(220\) | −78.7807 | + | 69.7936i | −5.31139 | + | 4.70548i | ||||
\(221\) | −1.46208 | + | 3.91019i | −0.0983499 | + | 0.263028i | ||||
\(222\) | 0.155559 | + | 0.137813i | 0.0104405 | + | 0.00924944i | ||||
\(223\) | 10.1651 | − | 14.7266i | 0.680702 | − | 0.986168i | −0.318565 | − | 0.947901i | \(-0.603201\pi\) |
0.999268 | − | 0.0382668i | \(-0.0121837\pi\) | |||||||
\(224\) | 11.5412 | − | 30.4318i | 0.771132 | − | 2.03331i | ||||
\(225\) | 1.07957 | + | 8.89106i | 0.0719714 | + | 0.592738i | ||||
\(226\) | 0.620764 | − | 5.11245i | 0.0412926 | − | 0.340075i | ||||
\(227\) | 16.7828 | + | 8.80830i | 1.11391 | + | 0.584627i | 0.918233 | − | 0.396041i | \(-0.129616\pi\) |
0.195681 | + | 0.980668i | \(0.437308\pi\) | |||||||
\(228\) | −18.5213 | + | 26.8327i | −1.22660 | + | 1.77704i | ||||
\(229\) | 4.56855 | + | 12.0463i | 0.301899 | + | 0.796041i | 0.997020 | + | 0.0771484i | \(0.0245815\pi\) |
−0.695121 | + | 0.718893i | \(0.744649\pi\) | |||||||
\(230\) | −40.6213 | + | 35.9874i | −2.67849 | + | 2.37294i | ||||
\(231\) | −5.72833 | + | 8.29892i | −0.376897 | + | 0.546029i | ||||
\(232\) | 16.7037 | + | 24.1994i | 1.09665 | + | 1.58877i | ||||
\(233\) | −3.37086 | − | 27.7615i | −0.220832 | − | 1.81872i | −0.508586 | − | 0.861011i | \(-0.669831\pi\) |
0.287754 | − | 0.957705i | \(-0.407092\pi\) | |||||||
\(234\) | 1.12391 | − | 9.63223i | 0.0734726 | − | 0.629678i | ||||
\(235\) | −4.35093 | + | 35.8331i | −0.283823 | + | 2.33749i | ||||
\(236\) | −30.7471 | + | 16.1373i | −2.00146 | + | 1.05045i | ||||
\(237\) | 1.07261 | + | 2.82824i | 0.0696736 | + | 0.183714i | ||||
\(238\) | −0.703216 | + | 5.79150i | −0.0455827 | + | 0.375407i | ||||
\(239\) | 9.70895 | 0.628020 | 0.314010 | − | 0.949420i | \(-0.398327\pi\) | ||||
0.314010 | + | 0.949420i | \(0.398327\pi\) | |||||||
\(240\) | 5.82125 | − | 47.9423i | 0.375760 | − | 3.09466i | ||||
\(241\) | −7.42546 | − | 10.7576i | −0.478316 | − | 0.692961i | 0.507336 | − | 0.861748i | \(-0.330630\pi\) |
−0.985652 | + | 0.168788i | \(0.946015\pi\) | |||||||
\(242\) | −46.9355 | + | 11.5686i | −3.01713 | + | 0.743655i | ||||
\(243\) | 0.568065 | − | 0.822984i | 0.0364414 | − | 0.0527944i | ||||
\(244\) | −12.7629 | + | 3.14577i | −0.817061 | + | 0.201387i | ||||
\(245\) | −11.5456 | − | 6.05960i | −0.737621 | − | 0.387133i | ||||
\(246\) | 30.4056 | + | 15.9581i | 1.93859 | + | 1.01745i | ||||
\(247\) | 8.06238 | + | 20.9628i | 0.512997 | + | 1.33383i | ||||
\(248\) | −45.3863 | + | 23.8206i | −2.88203 | + | 1.51261i | ||||
\(249\) | −8.42718 | −0.534051 | ||||||||
\(250\) | 35.1999 | + | 18.4743i | 2.22624 | + | 1.16842i | ||||
\(251\) | 5.81615 | − | 15.3359i | 0.367112 | − | 0.967996i | −0.616445 | − | 0.787398i | \(-0.711428\pi\) |
0.983557 | − | 0.180598i | \(-0.0578031\pi\) | |||||||
\(252\) | −1.18194 | − | 9.73412i | −0.0744550 | − | 0.613192i | ||||
\(253\) | −28.2272 | + | 6.95737i | −1.77463 | + | 0.437406i | ||||
\(254\) | −25.8294 | + | 6.36638i | −1.62068 | + | 0.399462i | ||||
\(255\) | 0.521373 | + | 4.29389i | 0.0326496 | + | 0.268894i | ||||
\(256\) | −5.59979 | + | 14.7654i | −0.349987 | + | 0.922839i | ||||
\(257\) | 22.1283 | + | 11.6138i | 1.38032 | + | 0.724450i | 0.981299 | − | 0.192489i | \(-0.0616561\pi\) |
0.399026 | + | 0.916940i | \(0.369348\pi\) | |||||||
\(258\) | −6.20124 | −0.386073 | ||||||||
\(259\) | 0.128176 | − | 0.0672722i | 0.00796450 | − | 0.00418009i | ||||
\(260\) | −52.9890 | − | 46.5040i | −3.28624 | − | 2.88405i | ||||
\(261\) | 2.99322 | + | 1.57096i | 0.185276 | + | 0.0972403i | ||||
\(262\) | 14.8902 | + | 7.81499i | 0.919921 | + | 0.482812i | ||||
\(263\) | 28.8460 | − | 7.10989i | 1.77872 | − | 0.438415i | 0.793338 | − | 0.608782i | \(-0.208342\pi\) |
0.985381 | + | 0.170367i | \(0.0544954\pi\) | |||||||
\(264\) | 26.5971 | − | 38.5326i | 1.63694 | − | 2.37152i | ||||
\(265\) | 19.9404 | − | 4.91487i | 1.22493 | − | 0.301918i | ||||
\(266\) | 17.8302 | + | 25.8316i | 1.09324 | + | 1.58383i | ||||
\(267\) | 1.41335 | − | 11.6400i | 0.0864955 | − | 0.712355i | ||||
\(268\) | 67.1094 | 4.09936 | ||||||||
\(269\) | 3.40752 | − | 28.0635i | 0.207760 | − | 1.71106i | −0.399646 | − | 0.916670i | \(-0.630867\pi\) |
0.607407 | − | 0.794391i | \(-0.292210\pi\) | |||||||
\(270\) | −3.56305 | − | 9.39500i | −0.216841 | − | 0.571762i | ||||
\(271\) | −12.6108 | + | 6.61865i | −0.766050 | + | 0.402054i | −0.802019 | − | 0.597299i | \(-0.796241\pi\) |
0.0359687 | + | 0.999353i | \(0.488548\pi\) | |||||||
\(272\) | 1.80415 | − | 14.8585i | 0.109393 | − | 0.900931i | ||||
\(273\) | −5.99560 | − | 3.11109i | −0.362870 | − | 0.188291i | ||||
\(274\) | −1.73606 | − | 14.2978i | −0.104879 | − | 0.863760i | ||||
\(275\) | 27.3858 | + | 39.6752i | 1.65142 | + | 2.39250i | ||||
\(276\) | 16.0589 | − | 23.2654i | 0.966633 | − | 1.40041i | ||||
\(277\) | −4.70153 | + | 4.16519i | −0.282488 | + | 0.250262i | −0.792453 | − | 0.609932i | \(-0.791197\pi\) |
0.509966 | + | 0.860195i | \(0.329658\pi\) | |||||||
\(278\) | −5.23663 | − | 13.8078i | −0.314072 | − | 0.828140i | ||||
\(279\) | −3.34745 | + | 4.84962i | −0.200406 | + | 0.290339i | ||||
\(280\) | −53.9051 | − | 28.2916i | −3.22144 | − | 1.69074i | ||||
\(281\) | −1.05602 | + | 8.69713i | −0.0629970 | + | 0.518827i | 0.926716 | + | 0.375762i | \(0.122619\pi\) |
−0.989713 | + | 0.143065i | \(0.954304\pi\) | |||||||
\(282\) | −3.13247 | − | 25.7982i | −0.186536 | − | 1.53626i | ||||
\(283\) | −4.78583 | + | 12.6192i | −0.284488 | + | 0.750133i | 0.714249 | + | 0.699892i | \(0.246768\pi\) |
−0.998737 | + | 0.0502417i | \(0.984001\pi\) | |||||||
\(284\) | 0.0751613 | − | 0.108890i | 0.00446000 | − | 0.00646143i | ||||
\(285\) | 17.4188 | + | 15.4317i | 1.03180 | + | 0.914093i | ||||
\(286\) | −18.7377 | − | 48.7195i | −1.10799 | − | 2.88084i | ||||
\(287\) | 17.9031 | − | 15.8607i | 1.05678 | − | 0.936229i | ||||
\(288\) | 2.09408 | + | 17.2463i | 0.123395 | + | 1.01625i | ||||
\(289\) | −1.88754 | − | 15.5453i | −0.111032 | − | 0.914427i | ||||
\(290\) | 30.0758 | − | 15.7850i | 1.76611 | − | 0.926926i | ||||
\(291\) | −1.74019 | + | 0.913323i | −0.102012 | + | 0.0535399i | ||||
\(292\) | 5.67233 | + | 1.39810i | 0.331948 | + | 0.0818179i | ||||
\(293\) | 19.8886 | − | 17.6197i | 1.16190 | − | 1.02936i | 0.162814 | − | 0.986657i | \(-0.447943\pi\) |
0.999088 | − | 0.0426982i | \(-0.0135954\pi\) | |||||||
\(294\) | 9.11481 | + | 2.24660i | 0.531587 | + | 0.131024i | ||||
\(295\) | 8.78876 | + | 23.1741i | 0.511702 | + | 1.34925i | ||||
\(296\) | −0.595134 | + | 0.312351i | −0.0345915 | + | 0.0181550i | ||||
\(297\) | 0.648806 | − | 5.34340i | 0.0376475 | − | 0.310055i | ||||
\(298\) | 44.4358 | − | 10.9524i | 2.57410 | − | 0.634458i | ||||
\(299\) | −6.99051 | − | 18.1758i | −0.404271 | − | 1.05114i | ||||
\(300\) | −45.5161 | − | 11.2187i | −2.62787 | − | 0.647713i | ||||
\(301\) | −1.53168 | + | 4.03870i | −0.0882843 | + | 0.232787i | ||||
\(302\) | −18.3831 | − | 16.2860i | −1.05783 | − | 0.937154i | ||||
\(303\) | 8.66538 | − | 2.13583i | 0.497813 | − | 0.122700i | ||||
\(304\) | −45.7448 | − | 66.2728i | −2.62364 | − | 3.80101i | ||||
\(305\) | 1.13089 | + | 9.31374i | 0.0647548 | + | 0.533303i | ||||
\(306\) | −1.10428 | − | 2.91175i | −0.0631275 | − | 0.166453i | ||||
\(307\) | 2.86174 | − | 7.54580i | 0.163328 | − | 0.430662i | −0.828219 | − | 0.560404i | \(-0.810646\pi\) |
0.991548 | + | 0.129743i | \(0.0414151\pi\) | |||||||
\(308\) | −29.9825 | − | 43.4372i | −1.70841 | − | 2.47506i | ||||
\(309\) | 2.65442 | + | 0.654256i | 0.151005 | + | 0.0372193i | ||||
\(310\) | 20.9961 | + | 55.3621i | 1.19250 | + | 3.14436i | ||||
\(311\) | −9.47993 | + | 24.9965i | −0.537557 | + | 1.41742i | 0.341126 | + | 0.940018i | \(0.389192\pi\) |
−0.878683 | + | 0.477405i | \(0.841577\pi\) | |||||||
\(312\) | 27.8381 | + | 14.4450i | 1.57602 | + | 0.817789i | ||||
\(313\) | −4.54642 | − | 11.9879i | −0.256979 | − | 0.677597i | −0.999966 | − | 0.00829114i | \(-0.997361\pi\) |
0.742987 | − | 0.669306i | \(-0.233408\pi\) | |||||||
\(314\) | −3.13811 | + | 2.78012i | −0.177094 | + | 0.156891i | ||||
\(315\) | −6.99876 | −0.394335 | ||||||||
\(316\) | −15.8321 | −0.890623 | ||||||||
\(317\) | −5.32700 | + | 4.71931i | −0.299194 | + | 0.265063i | −0.799341 | − | 0.600878i | \(-0.794818\pi\) |
0.500147 | + | 0.865941i | \(0.333279\pi\) | |||||||
\(318\) | −13.0922 | + | 6.87132i | −0.734175 | + | 0.385325i | ||||
\(319\) | 18.1957 | 1.01876 | ||||||||
\(320\) | 69.0422 | + | 36.2361i | 3.85958 | + | 2.02566i | ||||
\(321\) | −6.10653 | − | 5.40991i | −0.340833 | − | 0.301952i | ||||
\(322\) | −15.4598 | − | 22.3973i | −0.861539 | − | 1.24815i | ||||
\(323\) | 5.39851 | + | 4.78266i | 0.300381 | + | 0.266114i | ||||
\(324\) | 2.97329 | + | 4.30756i | 0.165183 | + | 0.239309i | ||||
\(325\) | −24.0711 | + | 21.5267i | −1.33522 | + | 1.19409i | ||||
\(326\) | −8.32759 | + | 12.0646i | −0.461223 | + | 0.668197i | ||||
\(327\) | −4.04988 | + | 0.998207i | −0.223959 | + | 0.0552010i | ||||
\(328\) | −83.1255 | + | 73.6428i | −4.58984 | + | 4.06624i | ||||
\(329\) | −17.5754 | − | 4.33194i | −0.968961 | − | 0.238827i | ||||
\(330\) | −40.4829 | − | 35.8647i | −2.22851 | − | 1.97429i | ||||
\(331\) | −5.47301 | − | 4.84867i | −0.300824 | − | 0.266507i | 0.499184 | − | 0.866496i | \(-0.333633\pi\) |
−0.800008 | + | 0.599989i | \(0.795172\pi\) | |||||||
\(332\) | 15.6411 | − | 41.2421i | 0.858416 | − | 2.26346i | ||||
\(333\) | −0.0438939 | + | 0.0635913i | −0.00240537 | + | 0.00348478i | ||||
\(334\) | −5.92836 | − | 3.11144i | −0.324386 | − | 0.170251i | ||||
\(335\) | 5.77363 | − | 47.5501i | 0.315447 | − | 2.59794i | ||||
\(336\) | 23.5147 | + | 5.79585i | 1.28283 | + | 0.316189i | ||||
\(337\) | 4.49712 | 0.244974 | 0.122487 | − | 0.992470i | \(-0.460913\pi\) | ||||
0.122487 | + | 0.992470i | \(0.460913\pi\) | |||||||
\(338\) | 30.8069 | − | 16.5377i | 1.67567 | − | 0.899534i | ||||
\(339\) | 1.91477 | 0.103996 | ||||||||
\(340\) | −21.9817 | − | 5.41801i | −1.19213 | − | 0.293833i | ||||
\(341\) | −3.82323 | + | 31.4872i | −0.207040 | + | 1.70513i | ||||
\(342\) | −14.8351 | − | 7.78608i | −0.802192 | − | 0.421023i | ||||
\(343\) | 11.1640 | − | 16.1739i | 0.602801 | − | 0.873307i | ||||
\(344\) | 7.11170 | − | 18.7520i | 0.383437 | − | 1.01104i | ||||
\(345\) | −15.1030 | − | 13.3801i | −0.813117 | − | 0.720359i | ||||
\(346\) | −2.02560 | − | 1.79453i | −0.108897 | − | 0.0964744i | ||||
\(347\) | 7.33362 | + | 1.80758i | 0.393689 | + | 0.0970357i | 0.431191 | − | 0.902261i | \(-0.358094\pi\) |
−0.0375012 | + | 0.999297i | \(0.511940\pi\) | |||||||
\(348\) | −13.2437 | + | 11.7329i | −0.709938 | + | 0.628950i | ||||
\(349\) | 2.76401 | − | 0.681267i | 0.147954 | − | 0.0364674i | −0.164643 | − | 0.986353i | \(-0.552647\pi\) |
0.312597 | + | 0.949886i | \(0.398801\pi\) | |||||||
\(350\) | −25.6363 | + | 37.1406i | −1.37032 | + | 1.98525i | ||||
\(351\) | 3.60551 | − | 0.0168486i | 0.192448 | − | 0.000899313i | ||||
\(352\) | 53.1210 | + | 76.9591i | 2.83136 | + | 4.10193i | ||||
\(353\) | 16.3797 | + | 14.5112i | 0.871804 | + | 0.772351i | 0.974976 | − | 0.222312i | \(-0.0713604\pi\) |
−0.103171 | + | 0.994664i | \(0.532899\pi\) | |||||||
\(354\) | −10.1365 | − | 14.6852i | −0.538747 | − | 0.780509i | ||||
\(355\) | −0.0706872 | − | 0.0626234i | −0.00375169 | − | 0.00332370i | ||||
\(356\) | 54.3422 | + | 28.5210i | 2.88013 | + | 1.51161i | ||||
\(357\) | −2.16909 | −0.114800 | ||||||||
\(358\) | 30.3521 | − | 15.9300i | 1.60416 | − | 0.841927i | ||||
\(359\) | 3.93765 | − | 3.48845i | 0.207821 | − | 0.184113i | −0.552791 | − | 0.833320i | \(-0.686437\pi\) |
0.760612 | + | 0.649206i | \(0.224899\pi\) | |||||||
\(360\) | 32.4958 | 1.71268 | ||||||||
\(361\) | 19.8030 | 1.04227 | ||||||||
\(362\) | −12.0610 | + | 10.6851i | −0.633914 | + | 0.561599i | ||||
\(363\) | −6.37326 | − | 16.8049i | −0.334509 | − | 0.882028i | ||||
\(364\) | 26.3535 | − | 23.5679i | 1.38130 | − | 1.23529i | ||||
\(365\) | 1.47863 | − | 3.89883i | 0.0773950 | − | 0.204074i | ||||
\(366\) | −2.39526 | − | 6.31578i | −0.125202 | − | 0.330131i | ||||
\(367\) | 17.7761 | + | 4.38142i | 0.927905 | + | 0.228708i | 0.674179 | − | 0.738568i | \(-0.264498\pi\) |
0.253726 | + | 0.967276i | \(0.418344\pi\) | |||||||
\(368\) | 39.6632 | + | 57.4620i | 2.06759 | + | 2.99541i | ||||
\(369\) | −4.52730 | + | 11.9375i | −0.235682 | + | 0.621442i | ||||
\(370\) | 0.275314 | + | 0.725944i | 0.0143129 | + | 0.0377400i | ||||
\(371\) | 1.24139 | + | 10.2238i | 0.0644498 | + | 0.530792i | ||||
\(372\) | −17.5208 | − | 25.3833i | −0.908411 | − | 1.31606i | ||||
\(373\) | −16.2338 | + | 4.00128i | −0.840556 | + | 0.207178i | −0.636012 | − | 0.771679i | \(-0.719417\pi\) |
−0.204544 | + | 0.978857i | \(0.565571\pi\) | |||||||
\(374\) | −12.5467 | − | 11.1154i | −0.648772 | − | 0.574762i | ||||
\(375\) | −5.24116 | + | 13.8198i | −0.270652 | + | 0.713651i | ||||
\(376\) | 81.6039 | + | 20.1136i | 4.20840 | + | 1.03728i | ||||
\(377\) | 1.52566 | + | 12.0925i | 0.0785757 | + | 0.622793i | ||||
\(378\) | 4.89237 | − | 1.20586i | 0.251637 | − | 0.0620228i | ||||
\(379\) | −4.62567 | + | 38.0959i | −0.237605 | + | 1.95685i | 0.0489851 | + | 0.998800i | \(0.484401\pi\) |
−0.286590 | + | 0.958053i | \(0.592522\pi\) | |||||||
\(380\) | −107.851 | + | 56.6048i | −5.53266 | + | 2.90377i | ||||
\(381\) | −3.50731 | − | 9.24802i | −0.179685 | − | 0.473791i | ||||
\(382\) | −3.60936 | − | 0.889628i | −0.184671 | − | 0.0455173i | ||||
\(383\) | 19.0275 | − | 16.8569i | 0.972259 | − | 0.861346i | −0.0181051 | − | 0.999836i | \(-0.505763\pi\) |
0.990364 | + | 0.138490i | \(0.0442249\pi\) | |||||||
\(384\) | −20.7700 | − | 5.11935i | −1.05991 | − | 0.261246i | ||||
\(385\) | −33.3567 | + | 17.5070i | −1.70002 | + | 0.892237i | ||||
\(386\) | 12.7661 | − | 6.70018i | 0.649779 | − | 0.341030i | ||||
\(387\) | −0.277911 | − | 2.28881i | −0.0141270 | − | 0.116347i | ||||
\(388\) | −1.23991 | − | 10.2116i | −0.0629467 | − | 0.518413i | ||||
\(389\) | 12.9586 | − | 11.4803i | 0.657027 | − | 0.582075i | −0.267330 | − | 0.963605i | \(-0.586141\pi\) |
0.924356 | + | 0.381530i | \(0.124603\pi\) | |||||||
\(390\) | 20.4405 | − | 29.9112i | 1.03505 | − | 1.51461i | ||||
\(391\) | −4.68079 | − | 4.14682i | −0.236718 | − | 0.209714i | ||||
\(392\) | −17.2466 | + | 24.9860i | −0.871083 | + | 1.26198i | ||||
\(393\) | −2.21711 | + | 5.84604i | −0.111838 | + | 0.294894i | ||||
\(394\) | 0.988212 | + | 8.13866i | 0.0497854 | + | 0.410020i | ||||
\(395\) | −1.36208 | + | 11.2177i | −0.0685338 | + | 0.564426i | ||||
\(396\) | 24.9461 | + | 13.0927i | 1.25359 | + | 0.657934i | ||||
\(397\) | 7.68334 | − | 11.1312i | 0.385616 | − | 0.558661i | −0.581322 | − | 0.813674i | \(-0.697464\pi\) |
0.966938 | + | 0.255013i | \(0.0820797\pi\) | |||||||
\(398\) | −0.272663 | − | 0.718953i | −0.0136674 | − | 0.0360379i | ||||
\(399\) | −8.73506 | + | 7.73858i | −0.437300 | + | 0.387414i | ||||
\(400\) | 65.7719 | − | 95.2871i | 3.28860 | − | 4.76436i | ||||
\(401\) | 5.99113 | + | 8.67965i | 0.299183 | + | 0.433441i | 0.943528 | − | 0.331294i | \(-0.107485\pi\) |
−0.644345 | + | 0.764735i | \(0.722870\pi\) | |||||||
\(402\) | 4.15675 | + | 34.2339i | 0.207320 | + | 1.70743i | ||||
\(403\) | −21.2463 | + | 0.0992843i | −1.05835 | + | 0.00494570i | ||||
\(404\) | −5.63059 | + | 46.3721i | −0.280132 | + | 2.30710i | ||||
\(405\) | 3.30791 | − | 1.73612i | 0.164371 | − | 0.0862686i | ||||
\(406\) | 6.04009 | + | 15.9264i | 0.299764 | + | 0.790414i | ||||
\(407\) | −0.0501327 | + | 0.412880i | −0.00248499 | + | 0.0204657i | ||||
\(408\) | 10.0713 | 0.498603 | ||||||||
\(409\) | −4.55529 | + | 37.5162i | −0.225244 | + | 1.85506i | 0.241162 | + | 0.970485i | \(0.422471\pi\) |
−0.466407 | + | 0.884570i | \(0.654452\pi\) | |||||||
\(410\) | 72.8736 | + | 105.576i | 3.59897 | + | 5.21401i | ||||
\(411\) | 5.19934 | − | 1.28152i | 0.256465 | − | 0.0632128i | ||||
\(412\) | −8.12857 | + | 11.7763i | −0.400466 | + | 0.580175i | ||||
\(413\) | −12.0677 | + | 2.97442i | −0.593813 | + | 0.146362i | ||||
\(414\) | 12.8628 | + | 6.75094i | 0.632174 | + | 0.331791i | ||||
\(415\) | −27.8763 | − | 14.6306i | −1.36839 | − | 0.718189i | ||||
\(416\) | −46.6914 | + | 41.7560i | −2.28923 | + | 2.04726i | ||||
\(417\) | 4.86163 | − | 2.55158i | 0.238075 | − | 0.124952i | ||||
\(418\) | −90.1820 | −4.41095 | ||||||||
\(419\) | −17.9030 | − | 9.39621i | −0.874618 | − | 0.459035i | −0.0332182 | − | 0.999448i | \(-0.510576\pi\) |
−0.841400 | + | 0.540413i | \(0.818268\pi\) | |||||||
\(420\) | 12.9899 | − | 34.2515i | 0.633842 | − | 1.67130i | ||||
\(421\) | −1.16831 | − | 9.62187i | −0.0569398 | − | 0.468941i | −0.993091 | − | 0.117344i | \(-0.962562\pi\) |
0.936151 | − | 0.351597i | \(-0.114361\pi\) | |||||||
\(422\) | −20.3006 | + | 5.00366i | −0.988220 | + | 0.243574i | ||||
\(423\) | 9.38144 | − | 2.31232i | 0.456141 | − | 0.112429i | ||||
\(424\) | −5.76389 | − | 47.4699i | −0.279919 | − | 2.30534i | ||||
\(425\) | −3.67722 | + | 9.69603i | −0.178371 | + | 0.470326i | ||||
\(426\) | 0.0602025 | + | 0.0315967i | 0.00291682 | + | 0.00153087i | ||||
\(427\) | −4.70491 | −0.227686 | ||||||||
\(428\) | 37.8097 | − | 19.8441i | 1.82760 | − | 0.959199i | ||||
\(429\) | 17.1421 | − | 9.09927i | 0.827626 | − | 0.439317i | ||||
\(430\) | −20.5131 | − | 10.7661i | −0.989231 | − | 0.519188i | ||||
\(431\) | 7.34333 | + | 3.85407i | 0.353716 | + | 0.185644i | 0.632217 | − | 0.774792i | \(-0.282145\pi\) |
−0.278501 | + | 0.960436i | \(0.589838\pi\) | |||||||
\(432\) | −12.5517 | + | 3.09373i | −0.603896 | + | 0.148847i | ||||
\(433\) | 17.6814 | − | 25.6159i | 0.849713 | − | 1.23102i | −0.121448 | − | 0.992598i | \(-0.538754\pi\) |
0.971161 | − | 0.238424i | \(-0.0766308\pi\) | |||||||
\(434\) | −28.8294 | + | 7.10581i | −1.38386 | + | 0.341090i | ||||
\(435\) | 7.17391 | + | 10.3932i | 0.343963 | + | 0.498316i | ||||
\(436\) | 2.63153 | − | 21.6726i | 0.126028 | − | 1.03793i | ||||
\(437\) | −33.6443 | −1.60942 | ||||||||
\(438\) | −0.361859 | + | 2.98018i | −0.0172903 | + | 0.142398i | ||||
\(439\) | −9.76485 | − | 25.7478i | −0.466051 | − | 1.22888i | −0.937810 | − | 0.347148i | \(-0.887150\pi\) |
0.471760 | − | 0.881727i | \(-0.343619\pi\) | |||||||
\(440\) | 154.878 | − | 81.2864i | 7.38353 | − | 3.87518i | ||||
\(441\) | −0.420710 | + | 3.46485i | −0.0200338 | + | 0.164993i | ||||
\(442\) | 6.33503 | − | 9.27025i | 0.301327 | − | 0.440941i | ||||
\(443\) | −3.95288 | − | 32.5549i | −0.187807 | − | 1.54673i | −0.716301 | − | 0.697792i | \(-0.754166\pi\) |
0.528494 | − | 0.848937i | \(-0.322757\pi\) | |||||||
\(444\) | −0.229744 | − | 0.332842i | −0.0109032 | − | 0.0157960i | ||||
\(445\) | 24.8837 | − | 36.0502i | 1.17960 | − | 1.70894i | ||||
\(446\) | −36.0248 | + | 31.9152i | −1.70582 | + | 1.51123i | ||||
\(447\) | 6.03383 | + | 15.9099i | 0.285390 | + | 0.752512i | ||||
\(448\) | −22.2123 | + | 32.1801i | −1.04943 | + | 1.52037i | ||||
\(449\) | −25.2189 | − | 13.2359i | −1.19015 | − | 0.624642i | −0.250951 | − | 0.968000i | \(-0.580743\pi\) |
−0.939204 | + | 0.343358i | \(0.888435\pi\) | |||||||
\(450\) | 2.90364 | − | 23.9136i | 0.136879 | − | 1.12730i | ||||
\(451\) | 8.28341 | + | 68.2200i | 0.390051 | + | 3.21236i | ||||
\(452\) | −3.55386 | + | 9.37076i | −0.167160 | + | 0.440764i | ||||
\(453\) | 5.18713 | − | 7.51485i | 0.243712 | − | 0.353078i | ||||
\(454\) | −38.1581 | − | 33.8052i | −1.79085 | − | 1.58655i | ||||
\(455\) | −14.4317 | − | 20.7003i | −0.676566 | − | 0.970444i | ||||
\(456\) | 40.5576 | − | 35.9309i | 1.89929 | − | 1.68262i | ||||
\(457\) | 3.47704 | + | 28.6360i | 0.162649 | + | 1.33954i | 0.814047 | + | 0.580799i | \(0.197260\pi\) |
−0.651398 | + | 0.758737i | \(0.725817\pi\) | |||||||
\(458\) | −4.17681 | − | 34.3991i | −0.195170 | − | 1.60737i | ||||
\(459\) | 1.02520 | − | 0.538068i | 0.0478524 | − | 0.0251149i | ||||
\(460\) | 93.5129 | − | 49.0794i | 4.36006 | − | 2.28834i | ||||
\(461\) | 17.3809 | + | 4.28400i | 0.809509 | + | 0.199526i | 0.622284 | − | 0.782791i | \(-0.286205\pi\) |
0.187224 | + | 0.982317i | \(0.440051\pi\) | |||||||
\(462\) | 20.3011 | − | 17.9852i | 0.944493 | − | 0.836748i | ||||
\(463\) | −24.8533 | − | 6.12580i | −1.15503 | − | 0.284690i | −0.385137 | − | 0.922859i | \(-0.625846\pi\) |
−0.769896 | + | 0.638169i | \(0.779692\pi\) | |||||||
\(464\) | −15.4963 | − | 40.8604i | −0.719397 | − | 1.89689i | ||||
\(465\) | −19.4926 | + | 10.2305i | −0.903947 | + | 0.474428i | ||||
\(466\) | −9.06633 | + | 74.6680i | −0.419990 | + | 3.45893i | ||||
\(467\) | −27.7549 | + | 6.84096i | −1.28434 | + | 0.316562i | −0.821668 | − | 0.569966i | \(-0.806956\pi\) |
−0.462675 | + | 0.886528i | \(0.653110\pi\) | |||||||
\(468\) | −6.60948 | + | 17.6765i | −0.305523 | + | 0.817094i | ||||
\(469\) | 23.3223 | + | 5.74843i | 1.07692 | + | 0.265438i | ||||
\(470\) | 34.4270 | − | 90.7764i | 1.58800 | − | 4.18720i | ||||
\(471\) | −1.16675 | − | 1.03365i | −0.0537609 | − | 0.0476280i | ||||
\(472\) | 56.0314 | − | 13.8105i | 2.57906 | − | 0.635680i | ||||
\(473\) | −7.04986 | − | 10.2135i | −0.324153 | − | 0.469617i | ||||
\(474\) | −0.980637 | − | 8.07627i | −0.0450422 | − | 0.370956i | ||||
\(475\) | 19.7838 | + | 52.1656i | 0.907742 | + | 2.39352i | ||||
\(476\) | 4.02589 | − | 10.6154i | 0.184527 | − | 0.486557i | ||||
\(477\) | −3.12286 | − | 4.52424i | −0.142986 | − | 0.207151i | ||||
\(478\) | −25.3546 | − | 6.24935i | −1.15969 | − | 0.285839i | ||||
\(479\) | 9.89204 | + | 26.0832i | 0.451979 | + | 1.19177i | 0.946528 | + | 0.322621i | \(0.104564\pi\) |
−0.494549 | + | 0.869150i | \(0.664667\pi\) | |||||||
\(480\) | −23.0146 | + | 60.6846i | −1.05047 | + | 2.76986i | ||||
\(481\) | −0.278595 | + | 0.00130188i | −0.0127028 | + | 5.93606e-5i | ||||
\(482\) | 12.4670 | + | 32.8728i | 0.567856 | + | 1.49731i | ||||
\(483\) | 7.57376 | − | 6.70976i | 0.344618 | − | 0.305305i | ||||
\(484\) | 94.0712 | 4.27596 | ||||||||
\(485\) | −7.34203 | −0.333384 | ||||||||
\(486\) | −2.01321 | + | 1.78355i | −0.0913212 | + | 0.0809035i | ||||
\(487\) | −20.1489 | + | 10.5749i | −0.913033 | + | 0.479197i | −0.854713 | − | 0.519101i | \(-0.826267\pi\) |
−0.0583201 | + | 0.998298i | \(0.518574\pi\) | |||||||
\(488\) | 21.8453 | 0.988890 | ||||||||
\(489\) | −4.82611 | − | 2.53294i | −0.218244 | − | 0.114543i | ||||
\(490\) | 26.2506 | + | 23.2560i | 1.18588 | + | 1.05060i | ||||
\(491\) | −15.4603 | − | 22.3982i | −0.697715 | − | 1.01081i | −0.998370 | − | 0.0570816i | \(-0.981820\pi\) |
0.300654 | − | 0.953733i | \(-0.402795\pi\) | |||||||
\(492\) | −50.0187 | − | 44.3127i | −2.25502 | − | 1.99777i | ||||
\(493\) | 2.22338 | + | 3.22112i | 0.100136 | + | 0.145072i | ||||
\(494\) | −7.56155 | − | 59.9331i | −0.340210 | − | 2.69652i | ||||
\(495\) | 11.4230 | − | 16.5490i | 0.513425 | − | 0.743824i | ||||
\(496\) | 73.9640 | − | 18.2305i | 3.32108 | − | 0.818573i | ||||
\(497\) | 0.0354478 | − | 0.0314040i | 0.00159005 | − | 0.00140866i | ||||
\(498\) | 22.0073 | + | 5.42431i | 0.986171 | + | 0.243069i | ||||
\(499\) | −11.8632 | − | 10.5099i | −0.531070 | − | 0.470487i | 0.354459 | − | 0.935072i | \(-0.384665\pi\) |
−0.885529 | + | 0.464585i | \(0.846204\pi\) | |||||||
\(500\) | −57.9056 | − | 51.2999i | −2.58962 | − | 2.29420i | ||||
\(501\) | 0.882716 | − | 2.32753i | 0.0394368 | − | 0.103986i | ||||
\(502\) | −25.0600 | + | 36.3056i | −1.11848 | + | 1.62040i | ||||
\(503\) | 35.0879 | + | 18.4155i | 1.56449 | + | 0.821108i | 0.999991 | − | 0.00432447i | \(-0.00137653\pi\) |
0.564500 | + | 0.825433i | \(0.309069\pi\) | |||||||
\(504\) | −1.96425 | + | 16.1770i | −0.0874944 | + | 0.720582i | ||||
\(505\) | 32.3723 | + | 7.97906i | 1.44055 | + | 0.355064i | ||||
\(506\) | 78.1926 | 3.47608 | ||||||||
\(507\) | 7.48451 | + | 10.6293i | 0.332399 | + | 0.472064i | ||||
\(508\) | 51.7690 | 2.29688 | ||||||||
\(509\) | −0.130907 | − | 0.0322656i | −0.00580234 | − | 0.00143015i | 0.236413 | − | 0.971653i | \(-0.424028\pi\) |
−0.242216 | + | 0.970222i | \(0.577874\pi\) | |||||||
\(510\) | 1.40230 | − | 11.5489i | 0.0620947 | − | 0.511396i | ||||
\(511\) | 1.85153 | + | 0.971757i | 0.0819068 | + | 0.0429880i | ||||
\(512\) | −0.175917 | + | 0.254860i | −0.00777451 | + | 0.0112633i | ||||
\(513\) | 2.20891 | − | 5.82441i | 0.0975257 | − | 0.257154i | ||||
\(514\) | −50.3119 | − | 44.5724i | −2.21916 | − | 1.96601i | ||||
\(515\) | 7.64470 | + | 6.77262i | 0.336866 | + | 0.298437i | ||||
\(516\) | 11.7171 | + | 2.88801i | 0.515817 | + | 0.127137i | ||||
\(517\) | 38.9287 | − | 34.4878i | 1.71208 | − | 1.51677i | ||||
\(518\) | −0.378030 | + | 0.0931759i | −0.0166097 | + | 0.00409392i | ||||
\(519\) | 0.571561 | − | 0.828049i | 0.0250888 | − | 0.0363473i | ||||
\(520\) | 67.0074 | + | 96.1132i | 2.93847 | + | 4.21484i | ||||
\(521\) | −18.6267 | − | 26.9854i | −0.816051 | − | 1.18225i | −0.980626 | − | 0.195889i | \(-0.937241\pi\) |
0.164576 | − | 0.986364i | \(-0.447375\pi\) | |||||||
\(522\) | −6.80552 | − | 6.02917i | −0.297870 | − | 0.263890i | ||||
\(523\) | −1.13596 | − | 1.64572i | −0.0496720 | − | 0.0719623i | 0.797361 | − | 0.603503i | \(-0.206229\pi\) |
−0.847033 | + | 0.531540i | \(0.821613\pi\) | |||||||
\(524\) | −24.4952 | − | 21.7008i | −1.07008 | − | 0.948005i | ||||
\(525\) | −14.8571 | − | 7.79760i | −0.648416 | − | 0.340315i | ||||
\(526\) | −79.9067 | −3.48410 | ||||||||
\(527\) | −6.04124 | + | 3.17069i | −0.263160 | + | 0.138117i | ||||
\(528\) | −52.0840 | + | 46.1424i | −2.26667 | + | 2.00809i | ||||
\(529\) | 6.17138 | 0.268321 | ||||||||
\(530\) | −55.2373 | −2.39935 | ||||||||
\(531\) | 4.96587 | − | 4.39937i | 0.215500 | − | 0.190917i | ||||
\(532\) | −21.6597 | − | 57.1119i | −0.939067 | − | 2.47612i | ||||
\(533\) | −44.6431 | + | 11.2251i | −1.93371 | + | 0.486212i | ||||
\(534\) | −11.1832 | + | 29.4877i | −0.483945 | + | 1.27606i | ||||
\(535\) | −10.8075 | − | 28.4972i | −0.467251 | − | 1.23204i | ||||
\(536\) | −108.287 | − | 26.6905i | −4.67731 | − | 1.15285i | ||||
\(537\) | 7.23982 | + | 10.4887i | 0.312421 | + | 0.452620i | ||||
\(538\) | −26.9622 | + | 71.0936i | −1.16242 | + | 3.06506i | ||||
\(539\) | 6.66198 | + | 17.5662i | 0.286952 | + | 0.756630i | ||||
\(540\) | 2.35692 | + | 19.4110i | 0.101426 | + | 0.835317i | ||||
\(541\) | 3.13658 | + | 4.54413i | 0.134852 | + | 0.195367i | 0.884592 | − | 0.466365i | \(-0.154437\pi\) |
−0.749740 | + | 0.661733i | \(0.769821\pi\) | |||||||
\(542\) | 37.1929 | − | 9.16722i | 1.59757 | − | 0.393766i | ||||
\(543\) | −4.48429 | − | 3.97273i | −0.192439 | − | 0.170486i | ||||
\(544\) | −7.13281 | + | 18.8077i | −0.305817 | + | 0.806373i | ||||
\(545\) | −15.1296 | − | 3.72912i | −0.648083 | − | 0.159738i | ||||
\(546\) | 13.6548 | + | 11.9837i | 0.584372 | + | 0.512854i | ||||
\(547\) | −33.9409 | + | 8.36569i | −1.45121 | + | 0.357691i | −0.884622 | − | 0.466310i | \(-0.845583\pi\) |
−0.566589 | + | 0.824001i | \(0.691737\pi\) | |||||||
\(548\) | −3.37842 | + | 27.8238i | −0.144319 | + | 1.18858i | ||||
\(549\) | 2.22374 | − | 1.16711i | 0.0949067 | − | 0.0498109i | ||||
\(550\) | −45.9794 | − | 121.238i | −1.96057 | − | 5.16960i | ||||
\(551\) | 20.4455 | + | 5.03937i | 0.871008 | + | 0.214684i | ||||
\(552\) | −35.1656 | + | 31.1540i | −1.49675 | + | 1.32600i | ||||
\(553\) | −5.50206 | − | 1.35614i | −0.233972 | − | 0.0576688i | ||||
\(554\) | 14.9589 | − | 7.85104i | 0.635543 | − | 0.333559i | ||||
\(555\) | −0.255599 | + | 0.134149i | −0.0108496 | + | 0.00569430i | ||||
\(556\) | 3.46397 | + | 28.5284i | 0.146905 | + | 1.20987i | ||||
\(557\) | 2.40184 | + | 19.7809i | 0.101769 | + | 0.838145i | 0.950801 | + | 0.309803i | \(0.100263\pi\) |
−0.849032 | + | 0.528342i | \(0.822814\pi\) | |||||||
\(558\) | 11.8633 | − | 10.5100i | 0.502214 | − | 0.444922i | ||||
\(559\) | 6.19656 | − | 5.54157i | 0.262086 | − | 0.234383i | ||||
\(560\) | 67.7220 | + | 59.9965i | 2.86178 | + | 2.53531i | ||||
\(561\) | 3.54027 | − | 5.12897i | 0.149470 | − | 0.216545i | ||||
\(562\) | 8.35584 | − | 22.0326i | 0.352470 | − | 0.929387i | ||||
\(563\) | −4.09319 | − | 33.7105i | −0.172507 | − | 1.42073i | −0.779691 | − | 0.626165i | \(-0.784624\pi\) |
0.607183 | − | 0.794562i | \(-0.292299\pi\) | |||||||
\(564\) | −6.09587 | + | 50.2040i | −0.256682 | + | 2.11397i | ||||
\(565\) | 6.33387 | + | 3.32427i | 0.266468 | + | 0.139853i | ||||
\(566\) | 20.6206 | − | 29.8741i | 0.866750 | − | 1.25570i | ||||
\(567\) | 0.664323 | + | 1.75168i | 0.0278990 | + | 0.0735635i | ||||
\(568\) | −0.164587 | + | 0.145812i | −0.00690593 | + | 0.00611812i | ||||
\(569\) | 21.5111 | − | 31.1643i | 0.901794 | − | 1.30647i | −0.0496869 | − | 0.998765i | \(-0.515822\pi\) |
0.951481 | − | 0.307709i | \(-0.0995623\pi\) | |||||||
\(570\) | −35.5556 | − | 51.5112i | −1.48926 | − | 2.15757i | ||||
\(571\) | 0.248059 | + | 2.04295i | 0.0103810 | + | 0.0854949i | 0.996979 | − | 0.0776774i | \(-0.0247504\pi\) |
−0.986598 | + | 0.163172i | \(0.947827\pi\) | |||||||
\(572\) | 12.7152 | + | 100.781i | 0.531648 | + | 4.21386i | ||||
\(573\) | 0.166596 | − | 1.37204i | 0.00695965 | − | 0.0573179i | ||||
\(574\) | −56.9623 | + | 29.8961i | −2.37756 | + | 1.24784i | ||||
\(575\) | −17.1536 | − | 45.2303i | −0.715354 | − | 1.88623i | ||||
\(576\) | 2.51583 | − | 20.7197i | 0.104826 | − | 0.863321i | ||||
\(577\) | 39.3763 | 1.63926 | 0.819628 | − | 0.572896i | \(-0.194180\pi\) | ||||
0.819628 | + | 0.572896i | \(0.194180\pi\) | |||||||
\(578\) | −5.07676 | + | 41.8109i | −0.211166 | + | 1.73910i | ||||
\(579\) | 3.04508 | + | 4.41156i | 0.126549 | + | 0.183338i | ||||
\(580\) | −64.1788 | + | 15.8186i | −2.66488 | + | 0.656834i | ||||
\(581\) | 8.96839 | − | 12.9930i | 0.372072 | − | 0.539039i | ||||
\(582\) | 5.13233 | − | 1.26501i | 0.212742 | − | 0.0524362i | ||||
\(583\) | −26.2009 | − | 13.7513i | −1.08513 | − | 0.569521i | ||||
\(584\) | −8.59681 | − | 4.51195i | −0.355738 | − | 0.186706i | ||||
\(585\) | 11.9559 | + | 6.20388i | 0.494318 | + | 0.256499i | ||||
\(586\) | −63.2796 | + | 33.2117i | −2.61406 | + | 1.37196i | ||||
\(587\) | −40.1310 | −1.65638 | −0.828192 | − | 0.560445i | \(-0.810630\pi\) | ||||
−0.828192 | + | 0.560445i | \(0.810630\pi\) | |||||||
\(588\) | −16.1760 | − | 8.48980i | −0.667085 | − | 0.350113i | ||||
\(589\) | −13.0165 | + | 34.3216i | −0.536335 | + | 1.41420i | ||||
\(590\) | −8.03515 | − | 66.1754i | −0.330802 | − | 2.72440i | ||||
\(591\) | −2.95960 | + | 0.729475i | −0.121742 | + | 0.0300066i | ||||
\(592\) | 0.969863 | − | 0.239050i | 0.0398611 | − | 0.00982489i | ||||
\(593\) | 2.12097 | + | 17.4678i | 0.0870979 | + | 0.717316i | 0.969203 | + | 0.246263i | \(0.0792027\pi\) |
−0.882105 | + | 0.471053i | \(0.843874\pi\) | |||||||
\(594\) | −5.13372 | + | 13.5365i | −0.210639 | + | 0.555409i | ||||
\(595\) | −7.17515 | − | 3.76581i | −0.294152 | − | 0.154383i | ||||
\(596\) | −89.0611 | −3.64809 | ||||||||
\(597\) | 0.253138 | − | 0.132857i | 0.0103602 | − | 0.00543747i | ||||
\(598\) | 6.55627 | + | 51.9652i | 0.268106 | + | 2.12501i | ||||
\(599\) | −16.7021 | − | 8.76591i | −0.682427 | − | 0.358166i | 0.0876184 | − | 0.996154i | \(-0.472074\pi\) |
−0.770046 | + | 0.637989i | \(0.779767\pi\) | |||||||
\(600\) | 68.9827 | + | 36.2049i | 2.81621 | + | 1.47806i | ||||
\(601\) | 26.2689 | − | 6.47471i | 1.07153 | − | 0.264109i | 0.336183 | − | 0.941797i | \(-0.390864\pi\) |
0.735350 | + | 0.677688i | \(0.237018\pi\) | |||||||
\(602\) | 6.59951 | − | 9.56103i | 0.268976 | − | 0.389679i | ||||
\(603\) | −12.4491 | + | 3.06842i | −0.506965 | + | 0.124956i | ||||
\(604\) | 27.1498 | + | 39.3333i | 1.10471 | + | 1.60045i | ||||
\(605\) | 8.09323 | − | 66.6538i | 0.329037 | − | 2.70986i | ||||
\(606\) | −24.0041 | −0.975101 | ||||||||
\(607\) | −4.57181 | + | 37.6523i | −0.185564 | + | 1.52826i | 0.540919 | + | 0.841075i | \(0.318077\pi\) |
−0.726483 | + | 0.687184i | \(0.758847\pi\) | |||||||
\(608\) | 38.3752 | + | 101.187i | 1.55632 | + | 4.10368i | ||||
\(609\) | −5.60756 | + | 2.94307i | −0.227230 | + | 0.119259i | ||||
\(610\) | 3.04168 | − | 25.0505i | 0.123154 | − | 1.01426i | ||||
\(611\) | 26.1840 | + | 22.9795i | 1.05929 | + | 0.929650i | ||||
\(612\) | 0.730470 | + | 6.01596i | 0.0295275 | + | 0.243181i | ||||
\(613\) | −18.4453 | − | 26.7226i | −0.744998 | − | 1.07932i | −0.993846 | − | 0.110773i | \(-0.964667\pi\) |
0.248848 | − | 0.968543i | \(-0.419948\pi\) | |||||||
\(614\) | −12.3304 | + | 17.8636i | −0.497612 | + | 0.720916i | ||||
\(615\) | −35.7009 | + | 31.6282i | −1.43960 | + | 1.27537i | ||||
\(616\) | 31.1040 | + | 82.0146i | 1.25322 | + | 3.30446i | ||||
\(617\) | −2.39609 | + | 3.47133i | −0.0964628 | + | 0.139750i | −0.868244 | − | 0.496138i | \(-0.834751\pi\) |
0.771781 | + | 0.635889i | \(0.219366\pi\) | |||||||
\(618\) | −6.51081 | − | 3.41714i | −0.261903 | − | 0.137457i | ||||
\(619\) | 1.42911 | − | 11.7698i | 0.0574408 | − | 0.473067i | −0.935397 | − | 0.353599i | \(-0.884958\pi\) |
0.992838 | − | 0.119468i | \(-0.0381191\pi\) | |||||||
\(620\) | −13.8887 | − | 114.384i | −0.557783 | − | 4.59376i | ||||
\(621\) | −1.91524 | + | 5.05007i | −0.0768559 | + | 0.202652i | ||||
\(622\) | 40.8460 | − | 59.1757i | 1.63778 | − | 2.37273i | ||||
\(623\) | 16.4423 | + | 14.5666i | 0.658747 | + | 0.583599i | ||||
\(624\) | −35.0324 | − | 30.7450i | −1.40242 | − | 1.23079i | ||||
\(625\) | −7.81045 | + | 6.91946i | −0.312418 | + | 0.276778i | ||||
\(626\) | 4.15657 | + | 34.2324i | 0.166130 | + | 1.36820i | ||||
\(627\) | −4.04155 | − | 33.2851i | −0.161404 | − | 1.32928i | ||||
\(628\) | 7.22413 | − | 3.79152i | 0.288274 | − | 0.151298i | ||||
\(629\) | −0.0792166 | + | 0.0415761i | −0.00315857 | + | 0.00165775i | ||||
\(630\) | 18.2770 | + | 4.50488i | 0.728174 | + | 0.179479i | ||||
\(631\) | −16.0996 | + | 14.2630i | −0.640913 | + | 0.567800i | −0.919733 | − | 0.392544i | \(-0.871595\pi\) |
0.278820 | + | 0.960343i | \(0.410057\pi\) | |||||||
\(632\) | 25.5466 | + | 6.29666i | 1.01619 | + | 0.250468i | ||||
\(633\) | −2.75658 | − | 7.26849i | −0.109564 | − | 0.288897i | ||||
\(634\) | 16.9490 | − | 8.89551i | 0.673130 | − | 0.353286i | ||||
\(635\) | 4.45385 | − | 36.6807i | 0.176745 | − | 1.45563i | ||||
\(636\) | 27.9375 | − | 6.88598i | 1.10779 | − | 0.273047i | ||||
\(637\) | −11.1155 | + | 5.90030i | −0.440414 | + | 0.233778i | ||||
\(638\) | −47.5174 | − | 11.7120i | −1.88123 | − | 0.463682i | ||||
\(639\) | −0.00896398 | + | 0.0236361i | −0.000354610 | + | 0.000935029i | ||||
\(640\) | −59.8174 | − | 52.9936i | −2.36449 | − | 2.09476i | ||||
\(641\) | −48.4771 | + | 11.9485i | −1.91473 | + | 0.471938i | −0.917482 | + | 0.397777i | \(0.869782\pi\) |
−0.997246 | + | 0.0741612i | \(0.976372\pi\) | |||||||
\(642\) | 12.4648 | + | 18.0584i | 0.491947 | + | 0.712708i | ||||
\(643\) | −3.73821 | − | 30.7869i | −0.147421 | − | 1.21412i | −0.859172 | − | 0.511687i | \(-0.829021\pi\) |
0.711751 | − | 0.702432i | \(-0.247902\pi\) | |||||||
\(644\) | 18.7801 | + | 49.5191i | 0.740040 | + | 1.95132i | ||||
\(645\) | 3.05435 | − | 8.05365i | 0.120265 | − | 0.317112i | ||||
\(646\) | −11.0196 | − | 15.9646i | −0.433560 | − | 0.628120i | ||||
\(647\) | 29.9992 | + | 7.39414i | 1.17939 | + | 0.290694i | 0.779817 | − | 0.626008i | \(-0.215312\pi\) |
0.399573 | + | 0.916701i | \(0.369158\pi\) | |||||||
\(648\) | −3.08451 | − | 8.13319i | −0.121171 | − | 0.319502i | ||||
\(649\) | 12.6630 | − | 33.3896i | 0.497067 | − | 1.31066i | ||||
\(650\) | 76.7169 | − | 40.7225i | 3.00908 | − | 1.59727i | ||||
\(651\) | −3.91467 | − | 10.3221i | −0.153428 | − | 0.404557i | ||||
\(652\) | 21.3535 | − | 18.9175i | 0.836266 | − | 0.740867i | ||||
\(653\) | −30.0644 | −1.17651 | −0.588255 | − | 0.808676i | \(-0.700185\pi\) | ||||
−0.588255 | + | 0.808676i | \(0.700185\pi\) | |||||||
\(654\) | 11.2187 | 0.438684 | ||||||||
\(655\) | −17.4834 | + | 15.4890i | −0.683134 | + | 0.605204i | ||||
\(656\) | 146.141 | − | 76.7008i | 5.70585 | − | 2.99466i | ||||
\(657\) | −1.11617 | −0.0435458 | ||||||||
\(658\) | 43.1092 | + | 22.6254i | 1.68057 | + | 0.882031i | ||||
\(659\) | 4.43710 | + | 3.93093i | 0.172845 | + | 0.153127i | 0.745110 | − | 0.666941i | \(-0.232397\pi\) |
−0.572265 | + | 0.820068i | \(0.693935\pi\) | |||||||
\(660\) | 59.7888 | + | 86.6190i | 2.32727 | + | 3.37164i | ||||
\(661\) | −9.70486 | − | 8.59776i | −0.377475 | − | 0.334414i | 0.452958 | − | 0.891532i | \(-0.350369\pi\) |
−0.830433 | + | 0.557118i | \(0.811907\pi\) | |||||||
\(662\) | 11.1717 | + | 16.1849i | 0.434199 | + | 0.629046i | ||||
\(663\) | 3.70545 | + | 1.92274i | 0.143908 | + | 0.0746729i | ||||
\(664\) | −41.6410 | + | 60.3275i | −1.61599 | + | 2.34116i | ||||
\(665\) | −42.3299 | + | 10.4334i | −1.64148 | + | 0.404589i | ||||
\(666\) | 0.155559 | − | 0.137813i | 0.00602780 | − | 0.00534016i | ||||
\(667\) | −17.7273 | − | 4.36940i | −0.686406 | − | 0.169184i | ||||
\(668\) | 9.75246 | + | 8.63993i | 0.377334 | + | 0.334289i | ||||
\(669\) | −13.3940 | − | 11.8660i | −0.517842 | − | 0.458768i | ||||
\(670\) | −45.6842 | + | 120.459i | −1.76493 | + | 4.65375i | ||||
\(671\) | 7.67909 | − | 11.1251i | 0.296448 | − | 0.429479i | ||||
\(672\) | −28.8187 | − | 15.1252i | −1.11171 | − | 0.583469i | ||||
\(673\) | −3.57545 | + | 29.4465i | −0.137824 | + | 1.13508i | 0.745563 | + | 0.666435i | \(0.232181\pi\) |
−0.883387 | + | 0.468645i | \(0.844742\pi\) | |||||||
\(674\) | −11.7441 | − | 2.89466i | −0.452365 | − | 0.111498i | ||||
\(675\) | 8.95637 | 0.344731 | ||||||||
\(676\) | −65.9107 | + | 16.9005i | −2.53503 | + | 0.650018i | ||||
\(677\) | 14.1115 | 0.542350 | 0.271175 | − | 0.962530i | \(-0.412588\pi\) | ||||
0.271175 | + | 0.962530i | \(0.412588\pi\) | |||||||
\(678\) | −5.00035 | − | 1.23248i | −0.192037 | − | 0.0473329i | ||||
\(679\) | 0.443797 | − | 3.65499i | 0.0170313 | − | 0.140266i | ||||
\(680\) | 33.3148 | + | 17.4850i | 1.27757 | + | 0.670518i | ||||
\(681\) | 10.7670 | − | 15.5987i | 0.412593 | − | 0.597744i | ||||
\(682\) | 30.2516 | − | 79.7668i | 1.15839 | − | 3.05443i | ||||
\(683\) | 17.0330 | + | 15.0899i | 0.651751 | + | 0.577401i | 0.922854 | − | 0.385150i | \(-0.125850\pi\) |
−0.271104 | + | 0.962550i | \(0.587389\pi\) | |||||||
\(684\) | 24.4046 | + | 21.6205i | 0.933132 | + | 0.826682i | ||||
\(685\) | 19.4238 | + | 4.78754i | 0.742146 | + | 0.182922i | ||||
\(686\) | −39.5651 | + | 35.0516i | −1.51060 | + | 1.33828i | ||||
\(687\) | 12.5091 | − | 3.08323i | 0.477253 | − | 0.117632i | ||||
\(688\) | −16.9315 | + | 24.5295i | −0.645508 | + | 0.935180i | ||||
\(689\) | 6.94195 | − | 18.5656i | 0.264467 | − | 0.707294i | ||||
\(690\) | 30.8286 | + | 44.6630i | 1.17363 | + | 1.70029i | ||||
\(691\) | 34.0968 | + | 30.2072i | 1.29711 | + | 1.14913i | 0.979617 | + | 0.200873i | \(0.0643778\pi\) |
0.317488 | + | 0.948262i | \(0.397161\pi\) | |||||||
\(692\) | 2.99159 | + | 4.33407i | 0.113723 | + | 0.164757i | ||||
\(693\) | 7.54794 | + | 6.68689i | 0.286722 | + | 0.254014i | ||||
\(694\) | −17.9880 | − | 9.44085i | −0.682817 | − | 0.358370i | ||||
\(695\) | 20.5117 | 0.778053 | ||||||||
\(696\) | 26.0364 | − | 13.6650i | 0.986907 | − | 0.517969i | ||||
\(697\) | −11.0646 | + | 9.80237i | −0.419101 | + | 0.371291i | ||||
\(698\) | −7.65663 | −0.289808 | ||||||||
\(699\) | −27.9654 | −1.05775 | ||||||||
\(700\) | 65.7362 | − | 58.2372i | 2.48460 | − | 2.20116i | ||||
\(701\) | 3.71272 | + | 9.78964i | 0.140228 | + | 0.369750i | 0.986671 | − | 0.162729i | \(-0.0520297\pi\) |
−0.846443 | + | 0.532479i | \(0.821261\pi\) | |||||||
\(702\) | −9.42652 | − | 2.27676i | −0.355781 | − | 0.0859307i | ||||
\(703\) | −0.170681 | + | 0.450048i | −0.00643734 | + | 0.0169739i | ||||
\(704\) | −39.8384 | − | 105.045i | −1.50147 | − | 3.95904i | ||||
\(705\) | 35.0474 | + | 8.63840i | 1.31996 | + | 0.325341i | ||||
\(706\) | −33.4347 | − | 48.4386i | −1.25833 | − | 1.82301i | ||||
\(707\) | −5.92890 | + | 15.6332i | −0.222979 | + | 0.587948i | ||||
\(708\) | 12.3135 | + | 32.4680i | 0.462770 | + | 1.22022i | ||||
\(709\) | 0.0936173 | + | 0.771008i | 0.00351587 | + | 0.0289558i | 0.994361 | − | 0.106046i | \(-0.0338191\pi\) |
−0.990845 | + | 0.135002i | \(0.956896\pi\) | |||||||
\(710\) | 0.144289 | + | 0.209038i | 0.00541505 | + | 0.00784506i | ||||
\(711\) | 2.93691 | − | 0.723884i | 0.110143 | − | 0.0271478i | ||||
\(712\) | −76.3431 | − | 67.6341i | −2.86108 | − | 2.53469i | ||||
\(713\) | 11.2860 | − | 29.7587i | 0.422663 | − | 1.11447i | ||||
\(714\) | 5.66451 | + | 1.39618i | 0.211989 | + | 0.0522506i | ||||
\(715\) | 72.5018 | − | 0.338802i | 2.71141 | − | 0.0126705i | ||||
\(716\) | −64.7684 | + | 15.9640i | −2.42051 | + | 0.596602i | ||||
\(717\) | 1.17028 | − | 9.63816i | 0.0437051 | − | 0.359944i | ||||
\(718\) | −12.5284 | + | 6.57543i | −0.467557 | + | 0.245393i | ||||
\(719\) | 17.3266 | + | 45.6866i | 0.646175 | + | 1.70382i | 0.708447 | + | 0.705764i | \(0.249396\pi\) |
−0.0622723 | + | 0.998059i | \(0.519835\pi\) | |||||||
\(720\) | −46.8911 | − | 11.5576i | −1.74753 | − | 0.430727i | ||||
\(721\) | −3.83362 | + | 3.39629i | −0.142772 | + | 0.126485i | ||||
\(722\) | −51.7150 | − | 12.7466i | −1.92463 | − | 0.474380i | ||||
\(723\) | −11.5742 | + | 6.07463i | −0.430451 | + | 0.225918i | ||||
\(724\) | 27.7653 | − | 14.5723i | 1.03189 | − | 0.541577i | ||||
\(725\) | 3.64941 | + | 30.0556i | 0.135536 | + | 1.11624i | ||||
\(726\) | 5.82676 | + | 47.9877i | 0.216251 | + | 1.78099i | ||||
\(727\) | 7.04284 | − | 6.23941i | 0.261204 | − | 0.231407i | −0.522348 | − | 0.852732i | \(-0.674944\pi\) |
0.783553 | + | 0.621325i | \(0.213405\pi\) | |||||||
\(728\) | −51.8972 | + | 27.5478i | −1.92344 | + | 1.02099i | ||||
\(729\) | −0.748511 | − | 0.663123i | −0.0277226 | − | 0.0245601i | ||||
\(730\) | −6.37095 | + | 9.22991i | −0.235799 | + | 0.341614i | ||||
\(731\) | 0.946618 | − | 2.49603i | 0.0350119 | − | 0.0923189i | ||||
\(732\) | 1.58444 | + | 13.0490i | 0.0585625 | + | 0.482306i | ||||
\(733\) | 3.96312 | − | 32.6392i | 0.146381 | − | 1.20556i | −0.715561 | − | 0.698550i | \(-0.753829\pi\) |
0.861942 | − | 0.507006i | \(-0.169248\pi\) | |||||||
\(734\) | −43.6015 | − | 22.8839i | −1.60936 | − | 0.844659i | ||||
\(735\) | −7.40708 | + | 10.7310i | −0.273214 | + | 0.395819i | ||||
\(736\) | −33.2733 | − | 87.7346i | −1.22647 | − | 3.23394i | ||||
\(737\) | −51.6579 | + | 45.7649i | −1.90284 | + | 1.68577i | ||||
\(738\) | 19.5067 | − | 28.2603i | 0.718052 | − | 1.04028i | ||||
\(739\) | −14.7704 | − | 21.3987i | −0.543339 | − | 0.787162i | 0.451100 | − | 0.892473i | \(-0.351032\pi\) |
−0.994439 | + | 0.105311i | \(0.966416\pi\) | |||||||
\(740\) | −0.182118 | − | 1.49987i | −0.00669477 | − | 0.0551364i | ||||
\(741\) | 21.7817 | − | 5.47681i | 0.800172 | − | 0.201196i | ||||
\(742\) | 3.33887 | − | 27.4981i | 0.122574 | − | 1.00949i | ||||
\(743\) | 2.35770 | − | 1.23741i | 0.0864955 | − | 0.0453963i | −0.420921 | − | 0.907097i | \(-0.638293\pi\) |
0.507416 | + | 0.861701i | \(0.330601\pi\) | |||||||
\(744\) | 18.1762 | + | 47.9266i | 0.666371 | + | 1.75708i | ||||
\(745\) | −7.66220 | + | 63.1039i | −0.280721 | + | 2.31195i | ||||
\(746\) | 44.9696 | 1.64645 | ||||||||
\(747\) | −1.01578 | + | 8.36573i | −0.0371656 | + | 0.306086i | ||||
\(748\) | 18.5300 | + | 26.8454i | 0.677525 | + | 0.981565i | ||||
\(749\) | 14.8397 | − | 3.65765i | 0.542230 | − | 0.133648i | ||||
\(750\) | 22.5825 | − | 32.7164i | 0.824596 | − | 1.19463i | ||||
\(751\) | 22.1806 | − | 5.46704i | 0.809383 | − | 0.199495i | 0.187154 | − | 0.982331i | \(-0.440074\pi\) |
0.622229 | + | 0.782836i | \(0.286227\pi\) | |||||||
\(752\) | −110.600 | − | 58.0472i | −4.03316 | − | 2.11677i | ||||
\(753\) | −14.5231 | − | 7.62229i | −0.529250 | − | 0.277772i | ||||
\(754\) | 3.79932 | − | 32.5611i | 0.138363 | − | 1.18580i | ||||
\(755\) | 30.2052 | − | 15.8529i | 1.09928 | − | 0.576947i | ||||
\(756\) | −9.80561 | −0.356627 | ||||||||
\(757\) | −31.2878 | − | 16.4211i | −1.13717 | − | 0.596835i | −0.212336 | − | 0.977197i | \(-0.568107\pi\) |
−0.924838 | + | 0.380362i | \(0.875800\pi\) | |||||||
\(758\) | 36.6009 | − | 96.5087i | 1.32941 | − | 3.50535i | ||||
\(759\) | 3.50424 | + | 28.8600i | 0.127196 | + | 1.04755i | ||||
\(760\) | 196.541 | − | 48.4431i | 7.12930 | − | 1.75722i | ||||
\(761\) | 25.8923 | − | 6.38187i | 0.938594 | − | 0.231343i | 0.259793 | − | 0.965664i | \(-0.416346\pi\) |
0.678802 | + | 0.734322i | \(0.262500\pi\) | |||||||
\(762\) | 3.20657 | + | 26.4085i | 0.116162 | + | 0.956678i | ||||
\(763\) | 2.77095 | − | 7.30640i | 0.100315 | − | 0.264509i | ||||
\(764\) | 6.40550 | + | 3.36186i | 0.231743 | + | 0.121628i | ||||
\(765\) | 4.32543 | 0.156386 | ||||||||
\(766\) | −60.5399 | + | 31.7738i | −2.18740 | + | 1.14803i | ||||
\(767\) | 23.2518 | + | 5.61594i | 0.839575 | + | 0.202780i | ||||
\(768\) | 13.9828 | + | 7.33874i | 0.504561 | + | 0.264814i | ||||
\(769\) | −1.97620 | − | 1.03719i | −0.0712635 | − | 0.0374020i | 0.428715 | − | 0.903440i | \(-0.358966\pi\) |
−0.499979 | + | 0.866038i | \(0.666659\pi\) | |||||||
\(770\) | 98.3787 | − | 24.2482i | 3.54532 | − | 0.873844i | ||||
\(771\) | 14.1964 | − | 20.5671i | 0.511271 | − | 0.740704i | ||||
\(772\) | −27.2417 | + | 6.71447i | −0.980449 | + | 0.241659i | ||||
\(773\) | 6.06712 | + | 8.78974i | 0.218219 | + | 0.316145i | 0.916770 | − | 0.399415i | \(-0.130787\pi\) |
−0.698551 | + | 0.715560i | \(0.746171\pi\) | |||||||
\(774\) | −0.747477 | + | 6.15603i | −0.0268675 | + | 0.221274i | ||||
\(775\) | −52.7774 | −1.89582 | ||||||||
\(776\) | −2.06059 | + | 16.9705i | −0.0739707 | + | 0.609204i | ||||
\(777\) | −0.0513317 | − | 0.135351i | −0.00184152 | − | 0.00485568i | ||||
\(778\) | −41.2305 | + | 21.6394i | −1.47818 | + | 0.775811i | ||||
\(779\) | −9.58620 | + | 78.9495i | −0.343461 | + | 2.82866i | ||||
\(780\) | −52.5520 | + | 46.9972i | −1.88166 | + | 1.68277i | ||||
\(781\) | 0.0164010 | + | 0.135075i | 0.000586875 | + | 0.00483335i | ||||
\(782\) | 9.55456 | + | 13.8422i | 0.341670 | + | 0.494995i | ||||
\(783\) | 1.92030 | − | 2.78204i | 0.0686261 | − | 0.0994220i | ||||
\(784\) | 33.7732 | − | 29.9204i | 1.20619 | − | 1.06859i | ||||
\(785\) | −2.06495 | − | 5.44482i | −0.0737012 | − | 0.194334i | ||||
\(786\) | 9.55283 | − | 13.8397i | 0.340738 | − | 0.493644i | ||||
\(787\) | −24.9373 | − | 13.0881i | −0.888920 | − | 0.466541i | −0.0425240 | − | 0.999095i | \(-0.513540\pi\) |
−0.846396 | + | 0.532554i | \(0.821232\pi\) | |||||||
\(788\) | 1.92309 | − | 15.8380i | 0.0685071 | − | 0.564207i | ||||
\(789\) | −3.58106 | − | 29.4926i | −0.127489 | − | 1.04997i | ||||
\(790\) | 10.7776 | − | 28.4181i | 0.383448 | − | 1.01107i | ||||
\(791\) | −2.03774 | + | 2.95217i | −0.0724536 | + | 0.104967i | ||||
\(792\) | −35.0457 | − | 31.0478i | −1.24530 | − | 1.10324i | ||||
\(793\) | 8.03737 | + | 4.17055i | 0.285415 | + | 0.148101i | ||||
\(794\) | −27.2296 | + | 24.1233i | −0.966344 | + | 0.856106i | ||||
\(795\) | −2.47548 | − | 20.3874i | −0.0877963 | − | 0.723068i | ||||
\(796\) | 0.180364 | + | 1.48543i | 0.00639282 | + | 0.0526496i | ||||
\(797\) | −22.8502 | + | 11.9927i | −0.809396 | + | 0.424804i | −0.818042 | − | 0.575159i | \(-0.804940\pi\) |
0.00864544 | + | 0.999963i | \(0.497248\pi\) | |||||||
\(798\) | 27.7924 | − | 14.5866i | 0.983841 | − | 0.516359i | ||||
\(799\) | 10.8621 | + | 2.67726i | 0.384272 | + | 0.0947146i | ||||
\(800\) | −116.467 | + | 103.181i | −4.11773 | + | 3.64799i | ||||
\(801\) | −11.3847 | − | 2.80609i | −0.402260 | − | 0.0991482i | ||||
\(802\) | −10.0588 | − | 26.5229i | −0.355189 | − | 0.936557i | ||||
\(803\) | −5.31975 | + | 2.79202i | −0.187730 | + | 0.0985282i | ||||
\(804\) | 8.08914 | − | 66.6201i | 0.285282 | − | 2.34951i | ||||
\(805\) | 36.7022 | − | 9.04629i | 1.29358 | − | 0.318840i | ||||
\(806\) | 55.5479 | + | 13.4163i | 1.95659 | + | 0.472569i | ||||
\(807\) | −27.4481 | − | 6.76536i | −0.966220 | − | 0.238152i | ||||
\(808\) | 27.5284 | − | 72.5864i | 0.968446 | − | 2.55358i | ||||
\(809\) | 21.0520 | + | 18.6504i | 0.740147 | + | 0.655713i | 0.946478 | − | 0.322769i | \(-0.104614\pi\) |
−0.206331 | + | 0.978482i | \(0.566152\pi\) | |||||||
\(810\) | −9.75598 | + | 2.40463i | −0.342790 | + | 0.0844902i | ||||
\(811\) | 20.4766 | + | 29.6654i | 0.719029 | + | 1.04169i | 0.996712 | + | 0.0810212i | \(0.0258182\pi\) |
−0.277683 | + | 0.960673i | \(0.589566\pi\) | |||||||
\(812\) | −3.99545 | − | 32.9055i | −0.140213 | − | 1.15476i | ||||
\(813\) | 5.05033 | + | 13.3166i | 0.177123 | + | 0.467034i | ||||
\(814\) | 0.396678 | − | 1.04595i | 0.0139036 | − | 0.0366607i | ||||
\(815\) | −11.5668 | − | 16.7574i | −0.405168 | − | 0.586988i | ||||
\(816\) | −14.5327 | − | 3.58200i | −0.508747 | − | 0.125395i | ||||
\(817\) | −5.09290 | − | 13.4289i | −0.178178 | − | 0.469816i | ||||
\(818\) | 36.0440 | − | 95.0402i | 1.26025 | − | 3.32300i | ||||
\(819\) | −3.81109 | + | 5.57688i | −0.133170 | + | 0.194872i | ||||
\(820\) | −88.5249 | − | 233.421i | −3.09142 | − | 8.15141i | ||||
\(821\) | −34.0800 | + | 30.1922i | −1.18940 | + | 1.05372i | −0.192018 | + | 0.981391i | \(0.561503\pi\) |
−0.997381 | + | 0.0723242i | \(0.976958\pi\) | |||||||
\(822\) | −14.4028 | −0.502355 | ||||||||
\(823\) | −22.6513 | −0.789574 | −0.394787 | − | 0.918773i | \(-0.629182\pi\) | ||||
−0.394787 | + | 0.918773i | \(0.629182\pi\) | |||||||
\(824\) | 17.7998 | − | 15.7693i | 0.620087 | − | 0.549349i | ||||
\(825\) | 42.6869 | − | 22.4038i | 1.48617 | − | 0.780000i | ||||
\(826\) | 33.4290 | 1.16314 | ||||||||
\(827\) | −15.3805 | − | 8.07230i | −0.534832 | − | 0.280701i | 0.175607 | − | 0.984460i | \(-0.443811\pi\) |
−0.710439 | + | 0.703759i | \(0.751503\pi\) | |||||||
\(828\) | −21.1600 | − | 18.7462i | −0.735362 | − | 0.651474i | ||||
\(829\) | 7.79247 | + | 11.2893i | 0.270644 | + | 0.392095i | 0.934614 | − | 0.355664i | \(-0.115745\pi\) |
−0.663970 | + | 0.747759i | \(0.731130\pi\) | |||||||
\(830\) | 63.3808 | + | 56.1505i | 2.19998 | + | 1.94901i | ||||
\(831\) | 3.56812 | + | 5.16931i | 0.123777 | + | 0.179321i | ||||
\(832\) | 66.4705 | − | 35.2836i | 2.30445 | − | 1.22324i | ||||
\(833\) | −2.29564 | + | 3.32581i | −0.0795392 | + | 0.115232i | ||||
\(834\) | −14.3384 | + | 3.53409i | −0.496497 | + | 0.122376i | ||||
\(835\) | 6.96082 | − | 6.16675i | 0.240889 | − | 0.213409i | ||||
\(836\) | 170.397 | + | 41.9991i | 5.89330 | + | 1.45257i | ||||
\(837\) | 4.41077 | + | 3.90760i | 0.152458 | + | 0.135066i | ||||
\(838\) | 40.7050 | + | 36.0615i | 1.40613 | + | 1.24572i | ||||
\(839\) | −16.4706 | + | 43.4295i | −0.568630 | + | 1.49935i | 0.274470 | + | 0.961596i | \(0.411498\pi\) |
−0.843100 | + | 0.537757i | \(0.819272\pi\) | |||||||
\(840\) | −34.5828 | + | 50.1019i | −1.19322 | + | 1.72868i | ||||
\(841\) | −15.5598 | − | 8.16643i | −0.536546 | − | 0.281601i | ||||
\(842\) | −3.14231 | + | 25.8792i | −0.108291 | + | 0.891857i | ||||
\(843\) | 8.50643 | + | 2.09665i | 0.292977 | + | 0.0722123i | ||||
\(844\) | 40.6879 | 1.40053 | ||||||||
\(845\) | 6.30427 | + | 48.1548i | 0.216873 | + | 1.65657i | ||||
\(846\) | −25.9877 | −0.893475 | ||||||||
\(847\) | 32.6922 | + | 8.05791i | 1.12332 | + | 0.276873i | ||||
\(848\) | −8.56613 | + | 70.5484i | −0.294162 | + | 2.42264i | ||||
\(849\) | 11.9503 | + | 6.27201i | 0.410134 | + | 0.215255i | ||||
\(850\) | 15.8440 | − | 22.9540i | 0.543444 | − | 0.787314i | ||||
\(851\) | 0.147989 | − | 0.390215i | 0.00507300 | − | 0.0133764i | ||||
\(852\) | −0.0990363 | − | 0.0877385i | −0.00339293 | − | 0.00300587i | ||||
\(853\) | 1.10818 | + | 0.981766i | 0.0379435 | + | 0.0336150i | 0.681881 | − | 0.731463i | \(-0.261162\pi\) |
−0.643938 | + | 0.765078i | \(0.722700\pi\) | |||||||
\(854\) | 12.2867 | + | 3.02840i | 0.420443 | + | 0.103630i | ||||
\(855\) | 17.4188 | − | 15.4317i | 0.595709 | − | 0.527752i | ||||
\(856\) | −68.9019 | + | 16.9828i | −2.35502 | + | 0.580460i | ||||
\(857\) | 5.82285 | − | 8.43585i | 0.198905 | − | 0.288163i | −0.710821 | − | 0.703373i | \(-0.751676\pi\) |
0.909726 | + | 0.415210i | \(0.136292\pi\) | |||||||
\(858\) | −50.6229 | + | 12.7286i | −1.72824 | + | 0.434548i | ||||
\(859\) | 29.7416 | + | 43.0882i | 1.01477 | + | 1.47015i | 0.877476 | + | 0.479621i | \(0.159226\pi\) |
0.137296 | + | 0.990530i | \(0.456159\pi\) | |||||||
\(860\) | 33.7452 | + | 29.8956i | 1.15070 | + | 1.01943i | ||||
\(861\) | −13.5871 | − | 19.6843i | −0.463048 | − | 0.670840i | ||||
\(862\) | −16.6961 | − | 14.7915i | −0.568672 | − | 0.503799i | ||||
\(863\) | 34.3179 | + | 18.0114i | 1.16819 | + | 0.613115i | 0.933367 | − | 0.358922i | \(-0.116856\pi\) |
0.234826 | + | 0.972037i | \(0.424548\pi\) | |||||||
\(864\) | 17.3729 | 0.591039 | ||||||||
\(865\) | 3.32827 | − | 1.74681i | 0.113164 | − | 0.0593933i | ||||
\(866\) | −62.6625 | + | 55.5142i | −2.12936 | + | 1.88645i | ||||
\(867\) | −15.6594 | −0.531823 | ||||||||
\(868\) | 57.7818 | 1.96124 | ||||||||
\(869\) | 12.1868 | − | 10.7966i | 0.413410 | − | 0.366250i | ||||
\(870\) | −12.0447 | − | 31.7592i | −0.408352 | − | 1.07674i | ||||
\(871\) | −34.7458 | − | 30.4935i | −1.17732 | − | 1.03323i | ||||
\(872\) | −12.8658 | + | 33.9242i | −0.435690 | + | 1.14882i | ||||
\(873\) | 0.696907 | + | 1.83759i | 0.0235867 | + | 0.0621931i | ||||
\(874\) | 87.8610 | + | 21.6558i | 2.97194 | + | 0.732518i | ||||
\(875\) | −15.7295 | − | 22.7881i | −0.531755 | − | 0.770379i | ||||
\(876\) | 2.07164 | − | 5.46245i | 0.0699941 | − | 0.184559i | ||||
\(877\) | −11.5867 | − | 30.5517i | −0.391256 | − | 1.03166i | −0.975484 | − | 0.220069i | \(-0.929372\pi\) |
0.584228 | − | 0.811590i | \(-0.301397\pi\) | |||||||
\(878\) | 8.92754 | + | 73.5249i | 0.301290 | + | 2.48134i | ||||
\(879\) | −15.0940 | − | 21.8674i | −0.509106 | − | 0.737568i | ||||
\(880\) | −252.398 | + | 62.2105i | −8.50834 | + | 2.09712i | ||||
\(881\) | −6.52759 | − | 5.78294i | −0.219920 | − | 0.194832i | 0.545968 | − | 0.837806i | \(-0.316162\pi\) |
−0.765888 | + | 0.642974i | \(0.777700\pi\) | |||||||
\(882\) | 3.32889 | − | 8.77756i | 0.112090 | − | 0.295556i | ||||
\(883\) | −35.7505 | − | 8.81170i | −1.20310 | − | 0.296537i | −0.413698 | − | 0.910414i | \(-0.635763\pi\) |
−0.789402 | + | 0.613877i | \(0.789609\pi\) | |||||||
\(884\) | −16.2872 | + | 14.5656i | −0.547797 | + | 0.489894i | ||||
\(885\) | 24.0645 | − | 5.93136i | 0.808918 | − | 0.199380i | ||||
\(886\) | −10.6318 | + | 87.5604i | −0.357181 | + | 2.94165i | ||||
\(887\) | 11.8271 | − | 6.20736i | 0.397116 | − | 0.208423i | −0.254330 | − | 0.967118i | \(-0.581855\pi\) |
0.651446 | + | 0.758695i | \(0.274163\pi\) | |||||||
\(888\) | 0.238338 | + | 0.628445i | 0.00799809 | + | 0.0210892i | ||||
\(889\) | 17.9911 | + | 4.43441i | 0.603402 | + | 0.148725i | ||||
\(890\) | −88.1873 | + | 78.1271i | −2.95604 | + | 2.61883i | ||||
\(891\) | −5.22623 | − | 1.28815i | −0.175085 | − | 0.0431547i | ||||
\(892\) | 82.9314 | − | 43.5257i | 2.77675 | − | 1.45735i | ||||
\(893\) | 53.2937 | − | 27.9707i | 1.78341 | − | 0.936004i | ||||
\(894\) | −5.51644 | − | 45.4320i | −0.184497 | − | 1.51947i | ||||
\(895\) | 5.73899 | + | 47.2648i | 0.191833 | + | 1.57989i | ||||
\(896\) | 29.9969 | − | 26.5749i | 1.00213 | − | 0.887806i | ||||
\(897\) | −18.8859 | + | 4.74868i | −0.630583 | + | 0.158554i | ||||
\(898\) | 57.3389 | + | 50.7978i | 1.91342 | + | 1.69515i | ||||
\(899\) | −11.3158 | + | 16.3938i | −0.377404 | + | 0.546764i | ||||
\(900\) | −16.6233 | + | 43.8320i | −0.554109 | + | 1.46107i | ||||
\(901\) | −0.767214 | − | 6.31858i | −0.0255596 | − | 0.210502i | ||||
\(902\) | 22.2793 | − | 183.486i | 0.741818 | − | 6.10942i | ||||
\(903\) | 3.82463 | + | 2.00732i | 0.127276 | + | 0.0667994i | ||||
\(904\) | 9.46140 | − | 13.7072i | 0.314681 | − | 0.455895i | ||||
\(905\) | −7.93645 | − | 20.9267i | −0.263816 | − | 0.695627i | ||||
\(906\) | −18.3831 | + | 16.2860i | −0.610737 | + | 0.541066i | ||||
\(907\) | −10.8721 | + | 15.7509i | −0.361001 | + | 0.523001i | −0.960834 | − | 0.277125i | \(-0.910618\pi\) |
0.599833 | + | 0.800125i | \(0.295234\pi\) | |||||||
\(908\) | 56.3554 | + | 81.6449i | 1.87022 | + | 2.70948i | ||||
\(909\) | −1.07576 | − | 8.85965i | −0.0356806 | − | 0.293856i | ||||
\(910\) | 24.3637 | + | 63.3473i | 0.807648 | + | 2.09994i | ||||
\(911\) | 4.73986 | − | 39.0363i | 0.157039 | − | 1.29333i | −0.674671 | − | 0.738119i | \(-0.735715\pi\) |
0.831710 | − | 0.555211i | \(-0.187362\pi\) | |||||||
\(912\) | −71.3035 | + | 37.4230i | −2.36110 | + | 1.23920i | ||||
\(913\) | 16.0850 | + | 42.4128i | 0.532337 | + | 1.40366i | ||||
\(914\) | 9.35193 | − | 77.0201i | 0.309334 | − | 2.54760i | ||||
\(915\) | 9.38215 | 0.310164 | ||||||||
\(916\) | −8.12818 | + | 66.9416i | −0.268563 | + | 2.21181i | ||||
\(917\) | −6.65388 | − | 9.63981i | −0.219731 | − | 0.318335i | ||||
\(918\) | −3.02362 | + | 0.745256i | −0.0997944 | + | 0.0245971i | ||||
\(919\) | −8.75600 | + | 12.6853i | −0.288834 | + | 0.418448i | −0.940362 | − | 0.340177i | \(-0.889513\pi\) |
0.651528 | + | 0.758625i | \(0.274128\pi\) | |||||||
\(920\) | −170.412 | + | 42.0027i | −5.61831 | + | 1.38479i | ||||
\(921\) | −7.14584 | − | 3.75042i | −0.235463 | − | 0.123581i | ||||
\(922\) | −42.6322 | − | 22.3751i | −1.40402 | − | 0.736884i | ||||
\(923\) | −0.0883926 | + | 0.0222255i | −0.00290948 | + | 0.000731561i | ||||
\(924\) | −46.7345 | + | 24.5281i | −1.53745 | + | 0.806917i | ||||
\(925\) | −0.692051 | −0.0227545 | ||||||||
\(926\) | 60.9607 | + | 31.9947i | 2.00329 | + | 1.05141i | ||||
\(927\) | 0.969441 | − | 2.55620i | 0.0318406 | − | 0.0839568i | ||||
\(928\) | 7.07888 | + | 58.2998i | 0.232376 | + | 1.91379i | ||||
\(929\) | 31.6293 | − | 7.79593i | 1.03772 | − | 0.255776i | 0.316584 | − | 0.948565i | \(-0.397464\pi\) |
0.721141 | + | 0.692788i | \(0.243618\pi\) | |||||||
\(930\) | 57.4893 | − | 14.1698i | 1.88515 | − | 0.464647i | ||||
\(931\) | 2.62069 | + | 21.5833i | 0.0858896 | + | 0.707364i | ||||
\(932\) | 51.9046 | − | 136.861i | 1.70019 | − | 4.48303i | ||||
\(933\) | 23.6716 | + | 12.4238i | 0.774973 | + | 0.406737i | ||||
\(934\) | 76.8843 | 2.51573 | ||||||||
\(935\) | 20.6154 | − | 10.8198i | 0.674195 | − | 0.353845i | ||||
\(936\) | 17.6952 | − | 25.8940i | 0.578387 | − | 0.846371i | ||||
\(937\) | −15.5961 | − | 8.18544i | −0.509501 | − | 0.267407i | 0.190324 | − | 0.981721i | \(-0.439046\pi\) |
−0.699825 | + | 0.714315i | \(0.746739\pi\) | |||||||
\(938\) | −57.2054 | − | 30.0237i | −1.86782 | − | 0.980308i | ||||
\(939\) | −12.4485 | + | 3.06828i | −0.406242 | + | 0.100130i | ||||
\(940\) | −107.325 | + | 155.487i | −3.50055 | + | 5.07142i | ||||
\(941\) | 40.0373 | − | 9.86831i | 1.30518 | − | 0.321698i | 0.475390 | − | 0.879775i | \(-0.342307\pi\) |
0.829789 | + | 0.558077i | \(0.188461\pi\) | |||||||
\(942\) | 2.38160 | + | 3.45034i | 0.0775966 | + | 0.112418i | ||||
\(943\) | 8.31175 | − | 68.4534i | 0.270668 | − | 2.22915i | ||||
\(944\) | −85.7646 | −2.79140 | ||||||||
\(945\) | −0.843607 | + | 6.94773i | −0.0274425 | + | 0.226010i | ||||
\(946\) | 11.8364 | + | 31.2100i | 0.384834 | + | 1.01472i | ||||
\(947\) | 11.6112 | − | 6.09401i | 0.377312 | − | 0.198029i | −0.265396 | − | 0.964139i | \(-0.585503\pi\) |
0.642709 | + | 0.766111i | \(0.277811\pi\) | |||||||
\(948\) | −1.90834 | + | 15.7166i | −0.0619802 | + | 0.510453i | ||||
\(949\) | −2.30157 | − | 3.30129i | −0.0747120 | − | 0.107164i | ||||
\(950\) | −18.0874 | − | 148.963i | −0.586832 | − | 4.83299i | ||||
\(951\) | 4.04281 | + | 5.85701i | 0.131097 | + | 0.189927i | ||||
\(952\) | −10.7181 | + | 15.5278i | −0.347375 | + | 0.503260i | ||||
\(953\) | 8.18259 | − | 7.24914i | 0.265060 | − | 0.234823i | −0.520115 | − | 0.854096i | \(-0.674111\pi\) |
0.785176 | + | 0.619273i | \(0.212573\pi\) | |||||||
\(954\) | 5.24313 | + | 13.8250i | 0.169753 | + | 0.447601i | ||||
\(955\) | 2.93312 | − | 4.24936i | 0.0949135 | − | 0.137506i | ||||
\(956\) | 44.9966 | + | 23.6160i | 1.45529 | + | 0.763797i | ||||
\(957\) | 2.19324 | − | 18.0630i | 0.0708975 | − | 0.583893i | ||||
\(958\) | −9.04382 | − | 74.4826i | −0.292193 | − | 2.40642i | ||||
\(959\) | −3.55742 | + | 9.38013i | −0.114875 | + | 0.302900i | ||||
\(960\) | 44.2941 | − | 64.1710i | 1.42958 | − | 2.07111i | ||||
\(961\) | −2.78760 | − | 2.46959i | −0.0899224 | − | 0.0796643i | ||||
\(962\) | 0.728380 | + | 0.175923i | 0.0234839 | + | 0.00567199i | ||||
\(963\) | −6.10653 | + | 5.40991i | −0.196780 | + | 0.174332i | ||||
\(964\) | −8.24679 | − | 67.9184i | −0.265611 | − | 2.18751i | ||||
\(965\) | 2.41383 | + | 19.8797i | 0.0777038 | + | 0.639949i | ||||
\(966\) | −24.0975 | + | 12.6473i | −0.775324 | + | 0.406921i | ||||
\(967\) | −51.3665 | + | 26.9592i | −1.65183 | + | 0.866950i | −0.658385 | + | 0.752681i | \(0.728760\pi\) |
−0.993450 | + | 0.114268i | \(0.963548\pi\) | |||||||
\(968\) | −151.793 | − | 37.4136i | −4.87881 | − | 1.20252i | ||||
\(969\) | 5.39851 | − | 4.78266i | 0.173425 | − | 0.153641i | ||||
\(970\) | 19.1735 | + | 4.72584i | 0.615623 | + | 0.151737i | ||||
\(971\) | −1.05125 | − | 2.77192i | −0.0337362 | − | 0.0889551i | 0.917090 | − | 0.398681i | \(-0.130532\pi\) |
−0.950826 | + | 0.309726i | \(0.899763\pi\) | |||||||
\(972\) | 4.63454 | − | 2.43240i | 0.148653 | − | 0.0780191i | ||||
\(973\) | −1.23985 | + | 10.2111i | −0.0397478 | + | 0.327352i | ||||
\(974\) | 59.4249 | − | 14.6469i | 1.90410 | − | 0.469318i | ||||
\(975\) | 18.4683 | + | 26.4903i | 0.591459 | + | 0.848369i | ||||
\(976\) | −31.5225 | − | 7.76959i | −1.00901 | − | 0.248699i | ||||
\(977\) | 10.0427 | − | 26.4805i | 0.321296 | − | 0.847187i | −0.672913 | − | 0.739722i | \(-0.734957\pi\) |
0.994209 | − | 0.107466i | \(-0.0342735\pi\) | |||||||
\(978\) | 10.9729 | + | 9.72110i | 0.350873 | + | 0.310847i | ||||
\(979\) | −61.2800 | + | 15.1042i | −1.95852 | + | 0.482731i | ||||
\(980\) | −38.7692 | − | 56.1669i | −1.23844 | − | 1.79419i | ||||
\(981\) | 0.502769 | + | 4.14068i | 0.0160522 | + | 0.132202i | ||||
\(982\) | 25.9572 | + | 68.4434i | 0.828326 | + | 2.18412i | ||||
\(983\) | 13.7678 | − | 36.3026i | 0.439124 | − | 1.15787i | −0.514664 | − | 0.857392i | \(-0.672083\pi\) |
0.953787 | − | 0.300482i | \(-0.0971476\pi\) | |||||||
\(984\) | 63.0862 | + | 91.3961i | 2.01111 | + | 2.91360i | ||||
\(985\) | −11.0565 | − | 2.72519i | −0.352290 | − | 0.0868318i | ||||
\(986\) | −3.73294 | − | 9.84296i | −0.118881 | − | 0.313464i | ||||
\(987\) | −6.41883 | + | 16.9251i | −0.204314 | + | 0.538731i | ||||
\(988\) | −13.6243 | + | 116.764i | −0.433447 | + | 3.71475i | ||||
\(989\) | 4.41581 | + | 11.6435i | 0.140415 | + | 0.370243i | ||||
\(990\) | −40.4829 | + | 35.8647i | −1.28663 | + | 1.13985i | ||||
\(991\) | −37.9838 | −1.20659 | −0.603297 | − | 0.797517i | \(-0.706147\pi\) | ||||
−0.603297 | + | 0.797517i | \(0.706147\pi\) | |||||||
\(992\) | −102.374 | −3.25037 | ||||||||
\(993\) | −5.47301 | + | 4.84867i | −0.173681 | + | 0.153868i | ||||
\(994\) | −0.112785 | + | 0.0591939i | −0.00357731 | + | 0.00187752i | ||||
\(995\) | 1.06801 | 0.0338583 | ||||||||
\(996\) | −39.0561 | − | 20.4982i | −1.23754 | − | 0.649511i | ||||
\(997\) | 45.1676 | + | 40.0150i | 1.43047 | + | 1.26729i | 0.910755 | + | 0.412947i | \(0.135501\pi\) |
0.519716 | + | 0.854339i | \(0.326038\pi\) | |||||||
\(998\) | 24.2155 | + | 35.0822i | 0.766528 | + | 1.11051i | ||||
\(999\) | 0.0578368 | + | 0.0512389i | 0.00182988 | + | 0.00162113i |
(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 | 507.2.m.b.40.1 | ✓ | 204 | |
169.131 | even | 13 | inner | 507.2.m.b.469.1 | yes | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
507.2.m.b.40.1 | ✓ | 204 | 1.1 | even | 1 | trivial | |
507.2.m.b.469.1 | yes | 204 | 169.131 | even | 13 | inner |