Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.53 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.53 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.999259 | − | 2.54607i | 0.706583 | − | 1.80034i | 0.116193 | − | 0.993227i | \(-0.462931\pi\) |
0.590390 | − | 0.807118i | \(-0.298974\pi\) | |||||||
\(3\) | −0.421209 | − | 1.68005i | −0.243185 | − | 0.969980i | ||||
\(4\) | −4.01786 | − | 3.72803i | −2.00893 | − | 1.86401i | ||||
\(5\) | 2.24814 | − | 1.08265i | 1.00540 | − | 0.484174i | 0.142631 | − | 0.989776i | \(-0.454444\pi\) |
0.862767 | + | 0.505602i | \(0.168730\pi\) | |||||||
\(6\) | −4.69844 | − | 0.606381i | −1.91813 | − | 0.247554i | ||||
\(7\) | 1.30103 | + | 2.30376i | 0.491743 | + | 0.870741i | ||||
\(8\) | −8.57815 | + | 4.13102i | −3.03283 | + | 1.46054i | ||||
\(9\) | −2.64517 | + | 1.41531i | −0.881722 | + | 0.471770i | ||||
\(10\) | −0.510021 | − | 6.80576i | −0.161283 | − | 2.15217i | ||||
\(11\) | −1.80157 | − | 2.25910i | −0.543194 | − | 0.681144i | 0.432158 | − | 0.901798i | \(-0.357752\pi\) |
−0.975352 | + | 0.220654i | \(0.929181\pi\) | |||||||
\(12\) | −4.57093 | + | 8.32050i | −1.31951 | + | 2.40192i | ||||
\(13\) | 0.380963 | − | 0.970677i | 0.105660 | − | 0.269217i | −0.868260 | − | 0.496110i | \(-0.834761\pi\) |
0.973920 | + | 0.226892i | \(0.0728566\pi\) | |||||||
\(14\) | 7.16561 | − | 1.01045i | 1.91509 | − | 0.270055i | ||||
\(15\) | −2.76584 | − | 3.32097i | −0.714137 | − | 0.857471i | ||||
\(16\) | 1.12688 | + | 15.0372i | 0.281721 | + | 3.75930i | ||||
\(17\) | 2.08917 | − | 1.93847i | 0.506699 | − | 0.470148i | −0.384910 | − | 0.922954i | \(-0.625768\pi\) |
0.891609 | + | 0.452806i | \(0.149577\pi\) | |||||||
\(18\) | 0.960273 | + | 8.14904i | 0.226338 | + | 1.92075i | ||||
\(19\) | −2.06219 | + | 3.57182i | −0.473099 | + | 0.819431i | −0.999526 | − | 0.0307893i | \(-0.990198\pi\) |
0.526427 | + | 0.850220i | \(0.323531\pi\) | |||||||
\(20\) | −13.0688 | − | 4.03120i | −2.92228 | − | 0.901404i | ||||
\(21\) | 3.32244 | − | 3.15617i | 0.725016 | − | 0.688732i | ||||
\(22\) | −7.55206 | + | 2.32950i | −1.61011 | + | 0.496652i | ||||
\(23\) | 1.43238 | − | 6.27565i | 0.298671 | − | 1.30856i | −0.573437 | − | 0.819250i | \(-0.694390\pi\) |
0.872108 | − | 0.489313i | \(-0.162753\pi\) | |||||||
\(24\) | 10.5535 | + | 12.6717i | 2.15423 | + | 2.58661i | ||||
\(25\) | 0.764550 | − | 0.958716i | 0.152910 | − | 0.191743i | ||||
\(26\) | −2.09073 | − | 1.93992i | −0.410026 | − | 0.380449i | ||||
\(27\) | 3.49197 | + | 3.84788i | 0.672029 | + | 0.740525i | ||||
\(28\) | 3.36114 | − | 14.1065i | 0.635197 | − | 2.66587i | ||||
\(29\) | 8.99708 | + | 2.77523i | 1.67072 | + | 0.515347i | 0.978483 | − | 0.206327i | \(-0.0661511\pi\) |
0.692232 | + | 0.721675i | \(0.256627\pi\) | |||||||
\(30\) | −11.2192 | + | 3.72352i | −2.04834 | + | 0.679818i | ||||
\(31\) | 3.80863 | − | 6.59674i | 0.684050 | − | 1.18481i | −0.289685 | − | 0.957122i | \(-0.593550\pi\) |
0.973734 | − | 0.227687i | \(-0.0731162\pi\) | |||||||
\(32\) | 21.2158 | + | 6.54420i | 3.75045 | + | 1.15686i | ||||
\(33\) | −3.03657 | + | 3.97829i | −0.528599 | + | 0.692532i | ||||
\(34\) | −2.84786 | − | 7.25622i | −0.488403 | − | 1.24443i | ||||
\(35\) | 5.41905 | + | 3.77062i | 0.915987 | + | 0.637352i | ||||
\(36\) | 15.9042 | + | 4.17474i | 2.65070 | + | 0.695789i | ||||
\(37\) | 1.99989 | + | 0.616885i | 0.328780 | + | 0.101415i | 0.454751 | − | 0.890619i | \(-0.349728\pi\) |
−0.125971 | + | 0.992034i | \(0.540205\pi\) | |||||||
\(38\) | 7.03344 | + | 8.81965i | 1.14097 | + | 1.43074i | ||||
\(39\) | −1.79126 | − | 0.231180i | −0.286830 | − | 0.0370184i | ||||
\(40\) | −14.8124 | + | 18.5742i | −2.34205 | + | 2.93684i | ||||
\(41\) | −5.51762 | − | 3.76185i | −0.861707 | − | 0.587502i | 0.0498125 | − | 0.998759i | \(-0.484138\pi\) |
−0.911520 | + | 0.411257i | \(0.865090\pi\) | |||||||
\(42\) | −4.71584 | − | 11.6130i | −0.727670 | − | 1.79193i | ||||
\(43\) | −0.626070 | + | 0.426847i | −0.0954748 | + | 0.0650936i | −0.610116 | − | 0.792312i | \(-0.708877\pi\) |
0.514642 | + | 0.857405i | \(0.327925\pi\) | |||||||
\(44\) | −1.18352 | + | 15.7930i | −0.178423 | + | 2.38089i | ||||
\(45\) | −4.41442 | + | 6.04559i | −0.658062 | + | 0.901223i | ||||
\(46\) | −14.5469 | − | 9.91793i | −2.14483 | − | 1.46232i | ||||
\(47\) | 0.937634 | − | 2.38905i | 0.136768 | − | 0.348479i | −0.846037 | − | 0.533124i | \(-0.821018\pi\) |
0.982805 | + | 0.184644i | \(0.0591133\pi\) | |||||||
\(48\) | 24.7887 | − | 8.22703i | 3.57793 | − | 1.18747i | ||||
\(49\) | −3.61465 | + | 5.99452i | −0.516379 | + | 0.856360i | ||||
\(50\) | −1.67698 | − | 2.90461i | −0.237160 | − | 0.410773i | ||||
\(51\) | −4.13671 | − | 2.69342i | −0.579256 | − | 0.377155i | ||||
\(52\) | −5.14936 | + | 2.47980i | −0.714088 | + | 0.343887i | ||||
\(53\) | 9.05602 | − | 2.79341i | 1.24394 | − | 0.383704i | 0.398199 | − | 0.917299i | \(-0.369635\pi\) |
0.845740 | + | 0.533595i | \(0.179159\pi\) | |||||||
\(54\) | 13.2864 | − | 5.04576i | 1.80804 | − | 0.686641i | ||||
\(55\) | −6.49598 | − | 3.12830i | −0.875918 | − | 0.421820i | ||||
\(56\) | −20.6773 | − | 14.3875i | −2.76312 | − | 1.92260i | ||||
\(57\) | 6.86946 | + | 1.96011i | 0.909882 | + | 0.259623i | ||||
\(58\) | 16.0564 | − | 20.1340i | 2.10830 | − | 2.64373i | ||||
\(59\) | −11.5534 | + | 7.87697i | −1.50412 | + | 1.02549i | −0.518780 | + | 0.854908i | \(0.673614\pi\) |
−0.985343 | + | 0.170586i | \(0.945434\pi\) | |||||||
\(60\) | −1.26792 | + | 23.6543i | −0.163688 | + | 3.05376i | ||||
\(61\) | −1.81595 | + | 1.68495i | −0.232508 | + | 0.215736i | −0.787819 | − | 0.615907i | \(-0.788790\pi\) |
0.555311 | + | 0.831643i | \(0.312599\pi\) | |||||||
\(62\) | −12.9900 | − | 16.2889i | −1.64973 | − | 2.06869i | ||||
\(63\) | −6.70197 | − | 4.25248i | −0.844369 | − | 0.535762i | ||||
\(64\) | 19.0584 | − | 23.8985i | 2.38230 | − | 2.98731i | ||||
\(65\) | −0.194443 | − | 2.59466i | −0.0241177 | − | 0.321828i | ||||
\(66\) | 7.09469 | + | 11.7067i | 0.873296 | + | 1.44099i | ||||
\(67\) | 0.605218 | − | 1.04827i | 0.0739391 | − | 0.128066i | −0.826685 | − | 0.562665i | \(-0.809776\pi\) |
0.900624 | + | 0.434598i | \(0.143110\pi\) | |||||||
\(68\) | −15.6207 | −1.89428 | ||||||||
\(69\) | −11.1468 | + | 0.236893i | −1.34191 | + | 0.0285186i | ||||
\(70\) | 15.0153 | − | 10.0295i | 1.79467 | − | 1.19875i | ||||
\(71\) | −1.92470 | + | 8.43266i | −0.228420 | + | 1.00077i | 0.722508 | + | 0.691362i | \(0.242989\pi\) |
−0.950928 | + | 0.309411i | \(0.899868\pi\) | |||||||
\(72\) | 16.8440 | − | 23.0680i | 1.98508 | − | 2.71859i | ||||
\(73\) | −2.53828 | − | 0.382584i | −0.297083 | − | 0.0447780i | −0.00119041 | − | 0.999999i | \(-0.500379\pi\) |
−0.295892 | + | 0.955221i | \(0.595617\pi\) | |||||||
\(74\) | 3.56904 | − | 4.47544i | 0.414893 | − | 0.520259i | ||||
\(75\) | −1.93273 | − | 0.880666i | −0.223173 | − | 0.101691i | ||||
\(76\) | 21.6014 | − | 6.66315i | 2.47785 | − | 0.764316i | ||||
\(77\) | 2.86053 | − | 7.08954i | 0.325988 | − | 0.807929i | ||||
\(78\) | −2.37853 | + | 4.32966i | −0.269315 | + | 0.490237i | ||||
\(79\) | −1.42236 | − | 2.46361i | −0.160028 | − | 0.277177i | 0.774850 | − | 0.632145i | \(-0.217825\pi\) |
−0.934879 | + | 0.354968i | \(0.884492\pi\) | |||||||
\(80\) | 18.8133 | + | 32.5857i | 2.10340 | + | 3.64319i | ||||
\(81\) | 4.99380 | − | 7.48745i | 0.554866 | − | 0.831939i | ||||
\(82\) | −15.0915 | + | 10.2892i | −1.66657 | + | 1.13625i | ||||
\(83\) | 0.443784 | + | 1.13074i | 0.0487116 | + | 0.124115i | 0.953159 | − | 0.302471i | \(-0.0978114\pi\) |
−0.904447 | + | 0.426586i | \(0.859716\pi\) | |||||||
\(84\) | −25.1154 | + | 0.294869i | −2.74031 | + | 0.0321729i | ||||
\(85\) | 2.59807 | − | 6.61978i | 0.281801 | − | 0.718016i | ||||
\(86\) | 0.461178 | + | 2.02055i | 0.0497301 | + | 0.217882i | ||||
\(87\) | 0.872885 | − | 16.2845i | 0.0935831 | − | 1.74589i | ||||
\(88\) | 24.7865 | + | 11.9366i | 2.64225 | + | 1.27244i | ||||
\(89\) | 3.75864 | + | 9.57686i | 0.398415 | + | 1.01515i | 0.979525 | + | 0.201321i | \(0.0645233\pi\) |
−0.581110 | + | 0.813825i | \(0.697381\pi\) | |||||||
\(90\) | 10.9814 | + | 17.2805i | 1.15754 | + | 1.82153i | ||||
\(91\) | 2.73185 | − | 0.385231i | 0.286376 | − | 0.0403831i | ||||
\(92\) | −29.1509 | + | 19.8747i | −3.03919 | + | 2.07208i | ||||
\(93\) | −12.6871 | − | 3.62009i | −1.31559 | − | 0.375386i | ||||
\(94\) | −5.14576 | − | 4.77457i | −0.530745 | − | 0.492459i | ||||
\(95\) | −0.769072 | + | 10.2626i | −0.0789051 | + | 1.05292i | ||||
\(96\) | 2.05833 | − | 38.4001i | 0.210077 | − | 3.91919i | ||||
\(97\) | −4.19882 | + | 7.27257i | −0.426325 | + | 0.738417i | −0.996543 | − | 0.0830763i | \(-0.973525\pi\) |
0.570218 | + | 0.821494i | \(0.306859\pi\) | |||||||
\(98\) | 11.6505 | + | 15.1932i | 1.17688 | + | 1.53475i | ||||
\(99\) | 7.96278 | + | 3.42591i | 0.800289 | + | 0.344317i | ||||
\(100\) | −6.64597 | + | 1.00172i | −0.664597 | + | 0.100172i | ||||
\(101\) | 4.41280 | − | 2.12509i | 0.439090 | − | 0.211455i | −0.201260 | − | 0.979538i | \(-0.564504\pi\) |
0.640350 | + | 0.768083i | \(0.278789\pi\) | |||||||
\(102\) | −10.9913 | + | 7.84094i | −1.08830 | + | 0.776369i | ||||
\(103\) | 7.15697 | − | 3.44662i | 0.705197 | − | 0.339605i | −0.0466783 | − | 0.998910i | \(-0.514864\pi\) |
0.751876 | + | 0.659305i | \(0.229149\pi\) | |||||||
\(104\) | 0.741931 | + | 9.90038i | 0.0727523 | + | 0.970812i | ||||
\(105\) | 4.05230 | − | 10.6925i | 0.395464 | − | 1.04348i | ||||
\(106\) | 1.93709 | − | 25.8486i | 0.188146 | − | 2.51064i | ||||
\(107\) | 2.75228 | + | 7.01269i | 0.266073 | + | 0.677942i | 0.999999 | − | 0.00128689i | \(-0.000409631\pi\) |
−0.733927 | + | 0.679229i | \(0.762314\pi\) | |||||||
\(108\) | 0.314780 | − | 28.4784i | 0.0302897 | − | 2.74033i | ||||
\(109\) | 4.82795 | − | 12.3014i | 0.462434 | − | 1.17826i | −0.489513 | − | 0.871996i | \(-0.662825\pi\) |
0.951946 | − | 0.306265i | \(-0.0990795\pi\) | |||||||
\(110\) | −14.4560 | + | 13.4133i | −1.37833 | + | 1.27890i | ||||
\(111\) | 0.194027 | − | 3.61976i | 0.0184162 | − | 0.343573i | ||||
\(112\) | −33.1760 | + | 22.1599i | −3.13484 | + | 2.09391i | ||||
\(113\) | 14.3982 | + | 2.17017i | 1.35446 | + | 0.204153i | 0.785833 | − | 0.618439i | \(-0.212235\pi\) |
0.568632 | + | 0.822592i | \(0.307473\pi\) | |||||||
\(114\) | 11.8549 | − | 15.5315i | 1.11032 | − | 1.45466i | ||||
\(115\) | −3.57413 | − | 15.6593i | −0.333289 | − | 1.46023i | ||||
\(116\) | −25.8028 | − | 44.6918i | −2.39573 | − | 4.14953i | ||||
\(117\) | 0.366099 | + | 3.10678i | 0.0338459 | + | 0.287222i | ||||
\(118\) | 8.51049 | + | 37.2869i | 0.783454 | + | 3.43254i | ||||
\(119\) | 7.18385 | + | 2.29096i | 0.658542 | + | 0.210012i | ||||
\(120\) | 37.4448 | + | 17.0621i | 3.41823 | + | 1.55755i | ||||
\(121\) | 0.589862 | − | 2.58435i | 0.0536238 | − | 0.234941i | ||||
\(122\) | 2.47541 | + | 6.30724i | 0.224113 | + | 0.571031i | ||||
\(123\) | −3.99604 | + | 10.8544i | −0.360310 | + | 0.978710i | ||||
\(124\) | −39.8953 | + | 12.3061i | −3.58271 | + | 1.10512i | ||||
\(125\) | −2.09536 | + | 9.18035i | −0.187414 | + | 0.821116i | ||||
\(126\) | −17.5241 | + | 12.8144i | −1.56117 | + | 1.14160i | ||||
\(127\) | 1.60253 | + | 7.02116i | 0.142202 | + | 0.623027i | 0.994921 | + | 0.100658i | \(0.0320947\pi\) |
−0.852719 | + | 0.522369i | \(0.825048\pi\) | |||||||
\(128\) | −19.6008 | − | 33.9495i | −1.73248 | − | 3.00074i | ||||
\(129\) | 0.980834 | + | 0.872040i | 0.0863576 | + | 0.0767788i | ||||
\(130\) | −6.80050 | − | 2.09768i | −0.596443 | − | 0.183978i | ||||
\(131\) | −13.2570 | − | 6.38424i | −1.15827 | − | 0.557794i | −0.246762 | − | 0.969076i | \(-0.579367\pi\) |
−0.911508 | + | 0.411282i | \(0.865081\pi\) | |||||||
\(132\) | 27.0317 | − | 4.66379i | 2.35281 | − | 0.405931i | ||||
\(133\) | −10.9116 | − | 0.103761i | −0.946154 | − | 0.00899720i | ||||
\(134\) | −2.06420 | − | 2.58842i | −0.178319 | − | 0.223605i | ||||
\(135\) | 12.0163 | + | 4.87000i | 1.03420 | + | 0.419143i | ||||
\(136\) | −9.91339 | + | 25.2589i | −0.850066 | + | 2.16593i | ||||
\(137\) | 4.22856 | + | 2.03637i | 0.361270 | + | 0.173979i | 0.605709 | − | 0.795686i | \(-0.292889\pi\) |
−0.244439 | + | 0.969665i | \(0.578604\pi\) | |||||||
\(138\) | −10.5354 | + | 28.6172i | −0.896829 | + | 2.43605i | ||||
\(139\) | −3.52868 | − | 2.40581i | −0.299299 | − | 0.204058i | 0.404354 | − | 0.914603i | \(-0.367496\pi\) |
−0.703652 | + | 0.710544i | \(0.748449\pi\) | |||||||
\(140\) | −7.71599 | − | 35.3522i | −0.652120 | − | 2.98781i | ||||
\(141\) | −4.40868 | − | 0.568985i | −0.371278 | − | 0.0479172i | ||||
\(142\) | 19.5469 | + | 13.3268i | 1.64034 | + | 1.11836i | ||||
\(143\) | −2.87919 | + | 0.888111i | −0.240770 | + | 0.0742676i | ||||
\(144\) | −24.2631 | − | 38.1810i | −2.02192 | − | 3.18175i | ||||
\(145\) | 23.2313 | − | 3.50155i | 1.92925 | − | 0.290788i | ||||
\(146\) | −3.51048 | + | 6.08034i | −0.290530 | + | 0.503212i | ||||
\(147\) | 11.5936 | + | 3.54786i | 0.956228 | + | 0.292622i | ||||
\(148\) | −5.73552 | − | 9.93421i | −0.471457 | − | 0.816587i | ||||
\(149\) | 11.1363 | + | 13.9644i | 0.912317 | + | 1.14401i | 0.989142 | + | 0.146965i | \(0.0469505\pi\) |
−0.0768245 | + | 0.997045i | \(0.524478\pi\) | |||||||
\(150\) | −4.17354 | + | 4.04086i | −0.340768 | + | 0.329935i | ||||
\(151\) | −1.55328 | + | 6.80535i | −0.126404 | + | 0.553812i | 0.871575 | + | 0.490263i | \(0.163099\pi\) |
−0.997979 | + | 0.0635491i | \(0.979758\pi\) | |||||||
\(152\) | 2.93453 | − | 39.1585i | 0.238021 | − | 3.17618i | ||||
\(153\) | −2.78267 | + | 8.08440i | −0.224966 | + | 0.653585i | ||||
\(154\) | −15.1921 | − | 14.3674i | −1.22421 | − | 1.15776i | ||||
\(155\) | 1.42039 | − | 18.9538i | 0.114088 | − | 1.52240i | ||||
\(156\) | 6.33516 | + | 7.60670i | 0.507219 | + | 0.609023i | ||||
\(157\) | −0.542978 | + | 0.370196i | −0.0433343 | + | 0.0295449i | −0.584794 | − | 0.811182i | \(-0.698824\pi\) |
0.541459 | + | 0.840727i | \(0.317872\pi\) | |||||||
\(158\) | −7.69383 | + | 1.15966i | −0.612088 | + | 0.0922574i | ||||
\(159\) | −8.50756 | − | 14.0380i | −0.674693 | − | 1.11328i | ||||
\(160\) | 54.7810 | − | 8.25691i | 4.33082 | − | 0.652766i | ||||
\(161\) | 16.3212 | − | 4.86494i | 1.28629 | − | 0.383411i | ||||
\(162\) | −14.0735 | − | 20.1965i | −1.10572 | − | 1.58679i | ||||
\(163\) | −18.3646 | + | 12.5208i | −1.43843 | + | 0.980704i | −0.441933 | + | 0.897048i | \(0.645707\pi\) |
−0.996495 | + | 0.0836557i | \(0.973340\pi\) | |||||||
\(164\) | 8.14473 | + | 35.6844i | 0.635997 | + | 2.78648i | ||||
\(165\) | −2.51955 | + | 12.2313i | −0.196146 | + | 0.952203i | ||||
\(166\) | 3.32241 | 0.257869 | ||||||||
\(167\) | 8.22738 | − | 7.63390i | 0.636654 | − | 0.590729i | −0.294368 | − | 0.955692i | \(-0.595109\pi\) |
0.931022 | + | 0.364964i | \(0.118919\pi\) | |||||||
\(168\) | −15.4622 | + | 40.7991i | −1.19294 | + | 3.14772i | ||||
\(169\) | 8.73259 | + | 8.10266i | 0.671738 | + | 0.623282i | ||||
\(170\) | −14.2583 | − | 13.2298i | −1.09356 | − | 1.01468i | ||||
\(171\) | 0.399606 | − | 12.3667i | 0.0305586 | − | 0.945704i | ||||
\(172\) | 4.10676 | + | 0.618994i | 0.313137 | + | 0.0471979i | ||||
\(173\) | 6.71284 | − | 2.07064i | 0.510368 | − | 0.157428i | −0.0288665 | − | 0.999583i | \(-0.509190\pi\) |
0.539235 | + | 0.842156i | \(0.318714\pi\) | |||||||
\(174\) | −40.5894 | − | 18.4949i | −3.07707 | − | 1.40209i | ||||
\(175\) | 3.20336 | + | 0.514026i | 0.242151 | + | 0.0388567i | ||||
\(176\) | 31.9404 | − | 29.6363i | 2.40760 | − | 2.23392i | ||||
\(177\) | 18.1001 | + | 16.0925i | 1.36049 | + | 1.20958i | ||||
\(178\) | 28.1392 | 2.10912 | ||||||||
\(179\) | 9.38257 | − | 8.70575i | 0.701286 | − | 0.650699i | −0.246670 | − | 0.969100i | \(-0.579336\pi\) |
0.947956 | + | 0.318401i | \(0.103146\pi\) | |||||||
\(180\) | 40.2746 | − | 7.83325i | 3.00189 | − | 0.583856i | ||||
\(181\) | 5.60032 | − | 7.02257i | 0.416268 | − | 0.521984i | −0.528849 | − | 0.848716i | \(-0.677376\pi\) |
0.945117 | + | 0.326732i | \(0.105948\pi\) | |||||||
\(182\) | 1.74901 | − | 7.34044i | 0.129645 | − | 0.544110i | ||||
\(183\) | 3.59571 | + | 2.34117i | 0.265803 | + | 0.173065i | ||||
\(184\) | 13.6377 | + | 59.7506i | 1.00538 | + | 4.40487i | ||||
\(185\) | 5.16390 | − | 0.778333i | 0.379657 | − | 0.0572242i | ||||
\(186\) | −21.8947 | + | 28.6849i | −1.60540 | + | 2.10328i | ||||
\(187\) | −8.14299 | − | 1.22736i | −0.595474 | − | 0.0897533i | ||||
\(188\) | −12.6737 | + | 6.10335i | −0.924327 | + | 0.445132i | ||||
\(189\) | −4.32146 | + | 13.0509i | −0.314340 | + | 0.949311i | ||||
\(190\) | 25.3607 | + | 12.2131i | 1.83986 | + | 0.886029i | ||||
\(191\) | −3.50814 | − | 2.39181i | −0.253840 | − | 0.173065i | 0.429714 | − | 0.902965i | \(-0.358614\pi\) |
−0.683554 | + | 0.729900i | \(0.739567\pi\) | |||||||
\(192\) | −48.1783 | − | 21.9529i | −3.47697 | − | 1.58431i | ||||
\(193\) | −0.963018 | + | 12.8506i | −0.0693196 | + | 0.925005i | 0.848803 | + | 0.528709i | \(0.177324\pi\) |
−0.918123 | + | 0.396296i | \(0.870295\pi\) | |||||||
\(194\) | 14.3208 | + | 17.9577i | 1.02817 | + | 1.28929i | ||||
\(195\) | −4.27727 | + | 1.41957i | −0.306302 | + | 0.101658i | ||||
\(196\) | 36.8709 | − | 10.6096i | 2.63364 | − | 0.757830i | ||||
\(197\) | 4.25401 | 0.303086 | 0.151543 | − | 0.988451i | \(-0.451576\pi\) | ||||
0.151543 | + | 0.988451i | \(0.451576\pi\) | |||||||
\(198\) | 16.6795 | − | 16.8504i | 1.18536 | − | 1.19751i | ||||
\(199\) | −9.31747 | − | 6.35255i | −0.660498 | − | 0.450320i | 0.186116 | − | 0.982528i | \(-0.440410\pi\) |
−0.846614 | + | 0.532208i | \(0.821362\pi\) | |||||||
\(200\) | −2.59795 | + | 11.3824i | −0.183703 | + | 0.804856i | ||||
\(201\) | −2.01607 | − | 0.575259i | −0.142203 | − | 0.0405756i | ||||
\(202\) | −1.00111 | − | 13.3588i | −0.0704376 | − | 0.939925i | ||||
\(203\) | 5.31198 | + | 24.3378i | 0.372828 | + | 1.70818i | ||||
\(204\) | 6.57957 | + | 26.2436i | 0.460662 | + | 1.83742i | ||||
\(205\) | −16.4771 | − | 2.48352i | −1.15081 | − | 0.173457i | ||||
\(206\) | −1.62366 | − | 21.6662i | −0.113126 | − | 1.50956i | ||||
\(207\) | 5.09311 | + | 18.6274i | 0.353996 | + | 1.29469i | ||||
\(208\) | 15.0256 | + | 4.63477i | 1.04184 | + | 0.321364i | ||||
\(209\) | 11.7843 | − | 1.77619i | 0.815135 | − | 0.122862i | ||||
\(210\) | −23.1746 | − | 21.0020i | −1.59920 | − | 1.44928i | ||||
\(211\) | −20.8491 | − | 3.14250i | −1.43531 | − | 0.216338i | −0.615123 | − | 0.788431i | \(-0.710894\pi\) |
−0.820189 | + | 0.572093i | \(0.806132\pi\) | |||||||
\(212\) | −46.7997 | − | 22.5375i | −3.21422 | − | 1.54788i | ||||
\(213\) | 14.9780 | − | 0.318316i | 1.02628 | − | 0.0218107i | ||||
\(214\) | 20.6050 | 1.40853 | ||||||||
\(215\) | −0.945367 | + | 1.63742i | −0.0644735 | + | 0.111671i | ||||
\(216\) | −45.8503 | − | 18.5823i | −3.11972 | − | 1.26437i | ||||
\(217\) | 20.1524 | + | 0.191634i | 1.36804 | + | 0.0130090i | ||||
\(218\) | −26.4959 | − | 24.5846i | −1.79453 | − | 1.66508i | ||||
\(219\) | 0.426385 | + | 4.42559i | 0.0288124 | + | 0.299054i | ||||
\(220\) | 14.4375 | + | 36.7863i | 0.973379 | + | 2.48013i | ||||
\(221\) | −1.08573 | − | 2.76640i | −0.0730342 | − | 0.186088i | ||||
\(222\) | −9.02230 | − | 4.11109i | −0.605537 | − | 0.275918i | ||||
\(223\) | 8.20649 | + | 7.61451i | 0.549547 | + | 0.509905i | 0.905356 | − | 0.424654i | \(-0.139604\pi\) |
−0.355809 | + | 0.934559i | \(0.615795\pi\) | |||||||
\(224\) | 12.5260 | + | 57.3903i | 0.836931 | + | 3.83455i | ||||
\(225\) | −0.665483 | + | 3.61804i | −0.0443655 | + | 0.241202i | ||||
\(226\) | 19.9129 | − | 34.4902i | 1.32459 | − | 2.29425i | ||||
\(227\) | −25.9366 | −1.72148 | −0.860738 | − | 0.509049i | \(-0.829997\pi\) | ||||
−0.860738 | + | 0.509049i | \(0.829997\pi\) | |||||||
\(228\) | −20.2932 | − | 33.4850i | −1.34395 | − | 2.21760i | ||||
\(229\) | −2.55763 | − | 1.23169i | −0.169013 | − | 0.0813925i | 0.347464 | − | 0.937693i | \(-0.387043\pi\) |
−0.516478 | + | 0.856301i | \(0.672757\pi\) | |||||||
\(230\) | −43.4411 | − | 6.54769i | −2.86442 | − | 0.431742i | ||||
\(231\) | −13.1157 | − | 1.81967i | −0.862950 | − | 0.119725i | ||||
\(232\) | −88.6428 | + | 13.3608i | −5.81969 | + | 0.877177i | ||||
\(233\) | −4.93208 | − | 1.52135i | −0.323111 | − | 0.0996666i | 0.128956 | − | 0.991650i | \(-0.458837\pi\) |
−0.452068 | + | 0.891984i | \(0.649313\pi\) | |||||||
\(234\) | 8.27592 | + | 2.17237i | 0.541014 | + | 0.142012i | ||||
\(235\) | −0.478568 | − | 6.38604i | −0.0312183 | − | 0.416580i | ||||
\(236\) | 75.7854 | + | 11.4228i | 4.93321 | + | 0.743562i | ||||
\(237\) | −3.53988 | + | 3.42734i | −0.229940 | + | 0.222630i | ||||
\(238\) | 13.0115 | − | 16.0013i | 0.843408 | − | 1.03721i | ||||
\(239\) | −0.476873 | − | 6.36343i | −0.0308464 | − | 0.411616i | −0.991158 | − | 0.132687i | \(-0.957640\pi\) |
0.960312 | − | 0.278929i | \(-0.0899795\pi\) | |||||||
\(240\) | 46.8213 | − | 45.3328i | 3.02230 | − | 2.92622i | ||||
\(241\) | 0.248196 | − | 1.08742i | 0.0159877 | − | 0.0700467i | −0.966305 | − | 0.257401i | \(-0.917134\pi\) |
0.982292 | + | 0.187354i | \(0.0599911\pi\) | |||||||
\(242\) | −5.99053 | − | 4.08427i | −0.385086 | − | 0.262547i | ||||
\(243\) | −14.6828 | − | 5.23607i | −0.941900 | − | 0.335894i | ||||
\(244\) | 13.5778 | 0.869229 | ||||||||
\(245\) | −1.63628 | + | 17.3899i | −0.104538 | + | 1.11100i | ||||
\(246\) | 23.6431 | + | 21.0206i | 1.50743 | + | 1.34022i | ||||
\(247\) | 2.68146 | + | 3.36245i | 0.170617 | + | 0.213947i | ||||
\(248\) | −5.41973 | + | 72.3213i | −0.344153 | + | 4.59241i | ||||
\(249\) | 1.71278 | − | 1.22186i | 0.108543 | − | 0.0774323i | ||||
\(250\) | 21.2800 | + | 14.5085i | 1.34587 | + | 0.917597i | ||||
\(251\) | 25.6020 | + | 12.3293i | 1.61598 | + | 0.778216i | 0.999955 | − | 0.00950919i | \(-0.00302691\pi\) |
0.616027 | + | 0.787725i | \(0.288741\pi\) | |||||||
\(252\) | 11.0742 | + | 42.0710i | 0.697611 | + | 2.65022i | ||||
\(253\) | −16.7578 | + | 8.07015i | −1.05356 | + | 0.507366i | ||||
\(254\) | 19.4777 | + | 2.93579i | 1.22214 | + | 0.184208i | ||||
\(255\) | −12.2159 | − | 1.57659i | −0.764991 | − | 0.0987298i | ||||
\(256\) | −45.5725 | + | 6.86894i | −2.84828 | + | 0.429309i | ||||
\(257\) | 2.57679 | + | 11.2896i | 0.160736 | + | 0.704229i | 0.989488 | + | 0.144614i | \(0.0461939\pi\) |
−0.828753 | + | 0.559615i | \(0.810949\pi\) | |||||||
\(258\) | 3.20038 | − | 1.62588i | 0.199247 | − | 0.101223i | ||||
\(259\) | 1.18076 | + | 5.40986i | 0.0733688 | + | 0.336152i | ||||
\(260\) | −8.89173 | + | 11.1499i | −0.551442 | + | 0.691486i | ||||
\(261\) | −27.7266 | + | 5.39271i | −1.71623 | + | 0.333800i | ||||
\(262\) | −29.5019 | + | 27.3738i | −1.82264 | + | 1.69116i | ||||
\(263\) | 11.3737 | 0.701332 | 0.350666 | − | 0.936500i | \(-0.385955\pi\) | ||||
0.350666 | + | 0.936500i | \(0.385955\pi\) | |||||||
\(264\) | 9.61376 | − | 46.6705i | 0.591686 | − | 2.87237i | ||||
\(265\) | 17.3349 | − | 16.0844i | 1.06487 | − | 0.988059i | ||||
\(266\) | −11.1677 | + | 27.6780i | −0.684735 | + | 1.69705i | ||||
\(267\) | 14.5065 | − | 10.3486i | 0.887782 | − | 0.633323i | ||||
\(268\) | −6.33965 | + | 1.95552i | −0.387256 | + | 0.119453i | ||||
\(269\) | −9.02388 | − | 1.36013i | −0.550196 | − | 0.0829287i | −0.131940 | − | 0.991258i | \(-0.542120\pi\) |
−0.418256 | + | 0.908329i | \(0.637359\pi\) | |||||||
\(270\) | 24.4068 | − | 25.7280i | 1.48535 | − | 1.56576i | ||||
\(271\) | 6.10452 | + | 5.66416i | 0.370823 | + | 0.344074i | 0.843468 | − | 0.537179i | \(-0.180510\pi\) |
−0.472645 | + | 0.881253i | \(0.656701\pi\) | |||||||
\(272\) | 31.5034 | + | 29.2309i | 1.91017 | + | 1.77238i | ||||
\(273\) | −1.79789 | − | 4.42740i | −0.108813 | − | 0.267958i | ||||
\(274\) | 9.41016 | − | 8.73136i | 0.568489 | − | 0.527481i | ||||
\(275\) | −3.54323 | −0.213665 | ||||||||
\(276\) | 45.6692 | + | 40.6036i | 2.74896 | + | 2.44405i | ||||
\(277\) | −4.85367 | − | 21.2653i | −0.291629 | − | 1.27771i | −0.882258 | − | 0.470765i | \(-0.843978\pi\) |
0.590630 | − | 0.806943i | \(-0.298879\pi\) | |||||||
\(278\) | −9.65143 | + | 6.58024i | −0.578854 | + | 0.394656i | ||||
\(279\) | −0.738026 | + | 22.8398i | −0.0441844 | + | 1.36739i | ||||
\(280\) | −62.0620 | − | 9.95877i | −3.70891 | − | 0.595150i | ||||
\(281\) | 10.6219 | − | 1.60099i | 0.633649 | − | 0.0955072i | 0.175639 | − | 0.984455i | \(-0.443801\pi\) |
0.458009 | + | 0.888947i | \(0.348563\pi\) | |||||||
\(282\) | −5.85409 | + | 10.6562i | −0.348606 | + | 0.634570i | ||||
\(283\) | 6.68373 | − | 1.00741i | 0.397306 | − | 0.0598843i | 0.0526496 | − | 0.998613i | \(-0.483233\pi\) |
0.344657 | + | 0.938729i | \(0.387995\pi\) | |||||||
\(284\) | 39.1704 | − | 26.7059i | 2.32433 | − | 1.58470i | ||||
\(285\) | 17.5656 | − | 3.03060i | 1.04050 | − | 0.179517i | ||||
\(286\) | −0.615859 | + | 8.21807i | −0.0364165 | + | 0.485945i | ||||
\(287\) | 1.48783 | − | 17.6056i | 0.0878238 | − | 1.03922i | ||||
\(288\) | −65.3813 | + | 12.7164i | −3.85263 | + | 0.749320i | ||||
\(289\) | −0.663431 | + | 8.85287i | −0.0390253 | + | 0.520757i | ||||
\(290\) | 14.2989 | − | 62.6474i | 0.839658 | − | 3.67878i | ||||
\(291\) | 13.9869 | + | 3.99097i | 0.819926 | + | 0.233955i | ||||
\(292\) | 8.77215 | + | 10.9999i | 0.513352 | + | 0.643722i | ||||
\(293\) | −8.50630 | − | 14.7333i | −0.496943 | − | 0.860731i | 0.503051 | − | 0.864257i | \(-0.332211\pi\) |
−0.999994 | + | 0.00352625i | \(0.998878\pi\) | |||||||
\(294\) | 20.6182 | − | 25.9730i | 1.20248 | − | 1.51478i | ||||
\(295\) | −17.4456 | + | 30.2167i | −1.01572 | + | 1.75929i | ||||
\(296\) | −19.7037 | + | 2.96986i | −1.14526 | + | 0.172620i | ||||
\(297\) | 2.40172 | − | 14.8209i | 0.139362 | − | 0.859997i | ||||
\(298\) | 46.6824 | − | 14.3996i | 2.70424 | − | 0.834147i | ||||
\(299\) | −5.54595 | − | 3.78116i | −0.320730 | − | 0.218670i | ||||
\(300\) | 4.48229 | + | 10.7437i | 0.258785 | + | 0.620286i | ||||
\(301\) | −1.79789 | − | 0.886977i | −0.103629 | − | 0.0511245i | ||||
\(302\) | 15.7748 | + | 10.7551i | 0.907737 | + | 0.618885i | ||||
\(303\) | −5.42899 | − | 6.51864i | −0.311887 | − | 0.374486i | ||||
\(304\) | −56.0340 | − | 26.9845i | −3.21377 | − | 1.54767i | ||||
\(305\) | −2.25829 | + | 5.75404i | −0.129310 | + | 0.329475i | ||||
\(306\) | 17.8028 | + | 15.1633i | 1.01772 | + | 0.866828i | ||||
\(307\) | −10.5347 | − | 13.2102i | −0.601250 | − | 0.753943i | 0.384323 | − | 0.923199i | \(-0.374435\pi\) |
−0.985572 | + | 0.169256i | \(0.945864\pi\) | |||||||
\(308\) | −37.9232 | + | 17.8206i | −2.16088 | + | 1.01542i | ||||
\(309\) | −8.80509 | − | 10.5724i | −0.500904 | − | 0.601440i | ||||
\(310\) | −46.8383 | − | 22.5561i | −2.66024 | − | 1.28110i | ||||
\(311\) | −3.72725 | − | 1.14970i | −0.211353 | − | 0.0651937i | 0.187271 | − | 0.982308i | \(-0.440036\pi\) |
−0.398624 | + | 0.917115i | \(0.630512\pi\) | |||||||
\(312\) | 16.3207 | − | 5.41662i | 0.923976 | − | 0.306656i | ||||
\(313\) | 2.07024 | + | 3.58576i | 0.117017 | + | 0.202679i | 0.918584 | − | 0.395225i | \(-0.129334\pi\) |
−0.801567 | + | 0.597904i | \(0.796000\pi\) | |||||||
\(314\) | 0.399970 | + | 1.75238i | 0.0225716 | + | 0.0988927i | ||||
\(315\) | −19.6709 | − | 2.30429i | −1.10833 | − | 0.129832i | ||||
\(316\) | −3.46954 | + | 15.2010i | −0.195177 | + | 0.855125i | ||||
\(317\) | −23.2000 | + | 7.15624i | −1.30304 | + | 0.401935i | −0.867142 | − | 0.498062i | \(-0.834045\pi\) |
−0.435898 | + | 0.899996i | \(0.643569\pi\) | |||||||
\(318\) | −44.2430 | + | 7.63327i | −2.48102 | + | 0.428052i | ||||
\(319\) | −9.93935 | − | 25.3251i | −0.556497 | − | 1.41793i | ||||
\(320\) | 16.9723 | − | 74.3605i | 0.948780 | − | 4.15688i | ||||
\(321\) | 10.6224 | − | 7.57778i | 0.592885 | − | 0.422951i | ||||
\(322\) | 3.92259 | − | 46.4162i | 0.218597 | − | 2.58667i | ||||
\(323\) | 2.61559 | + | 11.4596i | 0.145535 | + | 0.637631i | ||||
\(324\) | −47.9778 | + | 11.4665i | −2.66543 | + | 0.637028i | ||||
\(325\) | −0.639338 | − | 1.10737i | −0.0354641 | − | 0.0614256i | ||||
\(326\) | 13.5278 | + | 59.2692i | 0.749235 | + | 3.28261i | ||||
\(327\) | −22.7006 | − | 2.92974i | −1.25535 | − | 0.162015i | ||||
\(328\) | 62.8712 | + | 9.47631i | 3.47148 | + | 0.523242i | ||||
\(329\) | 6.72370 | − | 0.948139i | 0.370690 | − | 0.0522726i | ||||
\(330\) | 28.6240 | + | 18.6372i | 1.57570 | + | 1.02594i | ||||
\(331\) | −18.4981 | + | 17.1637i | −1.01675 | + | 0.943403i | −0.998407 | − | 0.0564288i | \(-0.982029\pi\) |
−0.0183400 | + | 0.999832i | \(0.505838\pi\) | |||||||
\(332\) | 2.43238 | − | 6.19761i | 0.133494 | − | 0.340138i | ||||
\(333\) | −6.16313 | + | 1.19870i | −0.337737 | + | 0.0656885i | ||||
\(334\) | −11.2152 | − | 28.5758i | −0.613666 | − | 1.56360i | ||||
\(335\) | 0.225710 | − | 3.01189i | 0.0123318 | − | 0.164557i | ||||
\(336\) | 51.2039 | + | 46.4036i | 2.79340 | + | 2.53152i | ||||
\(337\) | 0.585824 | + | 7.81728i | 0.0319119 | + | 0.425834i | 0.990164 | + | 0.139910i | \(0.0446814\pi\) |
−0.958252 | + | 0.285924i | \(0.907700\pi\) | |||||||
\(338\) | 29.3561 | − | 14.1371i | 1.59676 | − | 0.768959i | ||||
\(339\) | −2.41863 | − | 25.1038i | −0.131362 | − | 1.36345i | ||||
\(340\) | −35.1174 | + | 16.9117i | −1.90451 | + | 0.917163i | ||||
\(341\) | −21.7642 | + | 3.28042i | −1.17860 | + | 0.177645i | ||||
\(342\) | −31.0871 | − | 13.3749i | −1.68100 | − | 0.723234i | ||||
\(343\) | −18.5127 | − | 0.528253i | −0.999593 | − | 0.0285230i | ||||
\(344\) | 3.60721 | − | 6.24787i | 0.194488 | − | 0.336863i | ||||
\(345\) | −24.8030 | + | 12.6006i | −1.33535 | + | 0.678391i | ||||
\(346\) | 1.43588 | − | 19.1605i | 0.0771934 | − | 1.03007i | ||||
\(347\) | −13.7119 | − | 12.7228i | −0.736095 | − | 0.682997i | 0.220182 | − | 0.975459i | \(-0.429335\pi\) |
−0.956277 | + | 0.292462i | \(0.905525\pi\) | |||||||
\(348\) | −64.2163 | + | 62.1748i | −3.44236 | + | 3.33292i | ||||
\(349\) | −20.0198 | + | 13.6493i | −1.07164 | + | 0.730628i | −0.964624 | − | 0.263629i | \(-0.915080\pi\) |
−0.107011 | + | 0.994258i | \(0.534128\pi\) | |||||||
\(350\) | 4.50973 | − | 7.64233i | 0.241055 | − | 0.408500i | ||||
\(351\) | 5.06536 | − | 1.92367i | 0.270369 | − | 0.102678i | ||||
\(352\) | −23.4377 | − | 59.7183i | −1.24923 | − | 3.18300i | ||||
\(353\) | −23.0520 | − | 11.1013i | −1.22693 | − | 0.590861i | −0.295700 | − | 0.955281i | \(-0.595553\pi\) |
−0.931235 | + | 0.364420i | \(0.881267\pi\) | |||||||
\(354\) | 59.0593 | − | 30.0037i | 3.13897 | − | 1.59468i | ||||
\(355\) | 4.80260 | + | 21.0416i | 0.254895 | + | 1.11677i | ||||
\(356\) | 20.6011 | − | 52.4908i | 1.09186 | − | 2.78201i | ||||
\(357\) | 0.823027 | − | 13.0342i | 0.0435592 | − | 0.689845i | ||||
\(358\) | −12.7899 | − | 32.5880i | −0.675965 | − | 1.72233i | ||||
\(359\) | −4.87354 | + | 3.32272i | −0.257216 | + | 0.175367i | −0.685062 | − | 0.728485i | \(-0.740225\pi\) |
0.427846 | + | 0.903852i | \(0.359272\pi\) | |||||||
\(360\) | 12.8931 | − | 70.0960i | 0.679525 | − | 3.69438i | ||||
\(361\) | 0.994753 | + | 1.72296i | 0.0523554 | + | 0.0906822i | ||||
\(362\) | −12.2838 | − | 21.2762i | −0.645623 | − | 1.11825i | ||||
\(363\) | −4.59031 | + | 0.0975542i | −0.240929 | + | 0.00512027i | ||||
\(364\) | −12.4123 | − | 8.63662i | −0.650584 | − | 0.452682i | ||||
\(365\) | −6.12060 | + | 1.88795i | −0.320367 | + | 0.0988201i | ||||
\(366\) | 9.55385 | − | 6.81550i | 0.499388 | − | 0.356252i | ||||
\(367\) | −1.25706 | + | 1.57630i | −0.0656179 | + | 0.0822823i | −0.813557 | − | 0.581485i | \(-0.802472\pi\) |
0.747939 | + | 0.663767i | \(0.231043\pi\) | |||||||
\(368\) | 95.9823 | + | 14.4670i | 5.00342 | + | 0.754145i | ||||
\(369\) | 19.9192 | + | 2.14157i | 1.03695 | + | 0.111486i | ||||
\(370\) | 3.17838 | − | 13.9254i | 0.165236 | − | 0.723948i | ||||
\(371\) | 18.2175 | + | 17.2286i | 0.945805 | + | 0.894465i | ||||
\(372\) | 37.4792 | + | 61.8429i | 1.94320 | + | 3.20640i | ||||
\(373\) | 14.6438 | 0.758228 | 0.379114 | − | 0.925350i | \(-0.376229\pi\) | ||||
0.379114 | + | 0.925350i | \(0.376229\pi\) | |||||||
\(374\) | −11.2619 | + | 19.5062i | −0.582339 | + | 1.00864i | ||||
\(375\) | 16.3061 | − | 0.346540i | 0.842042 | − | 0.0178952i | ||||
\(376\) | 1.82606 | + | 24.3670i | 0.0941717 | + | 1.25663i | ||||
\(377\) | 6.12140 | − | 7.67600i | 0.315268 | − | 0.395334i | ||||
\(378\) | 28.9102 | + | 24.0439i | 1.48698 | + | 1.23669i | ||||
\(379\) | 19.4428 | + | 24.3805i | 0.998710 | + | 1.25234i | 0.967511 | + | 0.252829i | \(0.0813610\pi\) |
0.0311987 | + | 0.999513i | \(0.490068\pi\) | |||||||
\(380\) | 41.3491 | − | 38.3664i | 2.12116 | − | 1.96815i | ||||
\(381\) | 11.1209 | − | 5.64972i | 0.569742 | − | 0.289444i | ||||
\(382\) | −9.59526 | + | 6.54194i | −0.490936 | + | 0.334715i | ||||
\(383\) | −2.89741 | + | 3.63324i | −0.148051 | + | 0.185650i | −0.850327 | − | 0.526255i | \(-0.823596\pi\) |
0.702276 | + | 0.711905i | \(0.252167\pi\) | |||||||
\(384\) | −48.7810 | + | 47.2302i | −2.48935 | + | 2.41021i | ||||
\(385\) | −1.24459 | − | 19.0352i | −0.0634304 | − | 0.970124i | ||||
\(386\) | 31.7562 | + | 15.2930i | 1.61635 | + | 0.778392i | ||||
\(387\) | 1.05194 | − | 2.01517i | 0.0534730 | − | 0.102437i | ||||
\(388\) | 43.9826 | − | 13.5668i | 2.23288 | − | 0.688751i | ||||
\(389\) | 33.1710 | − | 15.9743i | 1.68184 | − | 0.809930i | 0.685168 | − | 0.728385i | \(-0.259729\pi\) |
0.996670 | − | 0.0815457i | \(-0.0259857\pi\) | |||||||
\(390\) | −0.659776 | + | 12.3088i | −0.0334090 | + | 0.623279i | ||||
\(391\) | −9.17267 | − | 15.8875i | −0.463882 | − | 0.803467i | ||||
\(392\) | 6.24352 | − | 66.3541i | 0.315345 | − | 3.35139i | ||||
\(393\) | −5.14189 | + | 24.9616i | −0.259374 | + | 1.25915i | ||||
\(394\) | 4.25086 | − | 10.8310i | 0.214155 | − | 0.545658i | ||||
\(395\) | −5.86488 | − | 3.99861i | −0.295094 | − | 0.201192i | ||||
\(396\) | −19.2214 | − | 43.4503i | −0.965913 | − | 2.18346i | ||||
\(397\) | −1.66884 | + | 22.2691i | −0.0837567 | + | 1.11766i | 0.784032 | + | 0.620721i | \(0.213160\pi\) |
−0.867788 | + | 0.496934i | \(0.834459\pi\) | |||||||
\(398\) | −25.4846 | + | 17.3751i | −1.27743 | + | 0.870936i | ||||
\(399\) | 4.42174 | + | 18.3758i | 0.221364 | + | 0.919939i | ||||
\(400\) | 15.2780 | + | 10.4163i | 0.763898 | + | 0.520817i | ||||
\(401\) | 16.2796 | − | 20.4140i | 0.812967 | − | 1.01943i | −0.186351 | − | 0.982483i | \(-0.559666\pi\) |
0.999317 | − | 0.0369448i | \(-0.0117626\pi\) | |||||||
\(402\) | −3.47923 | + | 4.55823i | −0.173528 | + | 0.227344i | ||||
\(403\) | −4.95236 | − | 6.21006i | −0.246694 | − | 0.309345i | ||||
\(404\) | −25.6524 | − | 7.91273i | −1.27626 | − | 0.393673i | ||||
\(405\) | 3.12048 | − | 22.2393i | 0.155058 | − | 1.10508i | ||||
\(406\) | 67.2738 | + | 10.7951i | 3.33874 | + | 0.535751i | ||||
\(407\) | −2.20934 | − | 5.62931i | −0.109513 | − | 0.279035i | ||||
\(408\) | 46.6119 | + | 6.01574i | 2.30763 | + | 0.297824i | ||||
\(409\) | 21.6889 | + | 6.69015i | 1.07245 | + | 0.330807i | 0.780197 | − | 0.625534i | \(-0.215119\pi\) |
0.292253 | + | 0.956341i | \(0.405595\pi\) | |||||||
\(410\) | −22.7881 | + | 39.4702i | −1.12543 | + | 1.94930i | ||||
\(411\) | 1.64010 | − | 7.96195i | 0.0809001 | − | 0.392734i | ||||
\(412\) | −41.6048 | − | 12.8334i | −2.04972 | − | 0.632255i | ||||
\(413\) | −33.1780 | − | 16.3681i | −1.63258 | − | 0.805422i | ||||
\(414\) | 52.5160 | + | 5.64615i | 2.58102 | + | 0.277493i | ||||
\(415\) | 2.22188 | + | 2.06161i | 0.109068 | + | 0.101200i | ||||
\(416\) | 14.4347 | − | 18.1006i | 0.707720 | − | 0.887453i | ||||
\(417\) | −2.55558 | + | 6.94172i | −0.125147 | + | 0.339938i | ||||
\(418\) | 7.25323 | − | 31.7785i | 0.354767 | − | 1.55434i | ||||
\(419\) | 0.555824 | − | 0.171449i | 0.0271538 | − | 0.00837584i | −0.281149 | − | 0.959664i | \(-0.590715\pi\) |
0.308302 | + | 0.951288i | \(0.400239\pi\) | |||||||
\(420\) | −56.1436 | + | 27.8540i | −2.73953 | + | 1.35913i | ||||
\(421\) | 1.88230 | + | 0.580613i | 0.0917377 | + | 0.0282973i | 0.340284 | − | 0.940323i | \(-0.389477\pi\) |
−0.248547 | + | 0.968620i | \(0.579953\pi\) | |||||||
\(422\) | −28.8347 | + | 49.9432i | −1.40365 | + | 2.43119i | ||||
\(423\) | 0.901052 | + | 7.64648i | 0.0438106 | + | 0.371785i | ||||
\(424\) | −66.1442 | + | 61.3729i | −3.21225 | + | 2.98053i | ||||
\(425\) | −0.261163 | − | 3.48498i | −0.0126683 | − | 0.169046i | ||||
\(426\) | 14.1565 | − | 38.4532i | 0.685884 | − | 1.86307i | ||||
\(427\) | −6.24434 | − | 1.99134i | −0.302185 | − | 0.0963679i | ||||
\(428\) | 15.0852 | − | 38.4365i | 0.729172 | − | 1.85790i | ||||
\(429\) | 2.70482 | + | 4.46311i | 0.130590 | + | 0.215481i | ||||
\(430\) | 3.22433 | + | 4.04318i | 0.155491 | + | 0.194980i | ||||
\(431\) | −0.00863274 | − | 0.115196i | −0.000415824 | − | 0.00554879i | 0.996992 | − | 0.0775042i | \(-0.0246951\pi\) |
−0.997408 | + | 0.0719554i | \(0.977076\pi\) | |||||||
\(432\) | −53.9263 | + | 56.8455i | −2.59453 | + | 2.73498i | ||||
\(433\) | −30.9809 | + | 14.9196i | −1.48885 | + | 0.716990i | −0.988833 | − | 0.149028i | \(-0.952386\pi\) |
−0.500013 | + | 0.866018i | \(0.666671\pi\) | |||||||
\(434\) | 20.6254 | − | 51.1181i | 0.990053 | − | 2.45375i | ||||
\(435\) | −15.6680 | − | 37.5549i | −0.751224 | − | 1.80062i | ||||
\(436\) | −65.2580 | + | 31.4266i | −3.12529 | + | 1.50506i | ||||
\(437\) | 19.4616 | + | 18.0578i | 0.930976 | + | 0.863819i | ||||
\(438\) | 11.6939 | + | 3.33671i | 0.558758 | + | 0.159434i | ||||
\(439\) | 8.29480 | − | 21.1348i | 0.395889 | − | 1.00871i | −0.584457 | − | 0.811425i | \(-0.698692\pi\) |
0.980346 | − | 0.197285i | \(-0.0632124\pi\) | |||||||
\(440\) | 68.6466 | 3.27260 | ||||||||
\(441\) | 1.07724 | − | 20.9724i | 0.0512972 | − | 0.998683i | ||||
\(442\) | −8.12837 | −0.386627 | ||||||||
\(443\) | −10.0187 | + | 25.5272i | −0.476003 | + | 1.21283i | 0.468245 | + | 0.883599i | \(0.344886\pi\) |
−0.944248 | + | 0.329236i | \(0.893209\pi\) | |||||||
\(444\) | −14.2742 | + | 13.8204i | −0.677421 | + | 0.655885i | ||||
\(445\) | 18.8183 | + | 17.4608i | 0.892073 | + | 0.827722i | ||||
\(446\) | 27.5875 | − | 13.2854i | 1.30631 | − | 0.629084i | ||||
\(447\) | 18.7703 | − | 24.5915i | 0.887804 | − | 1.16314i | ||||
\(448\) | 79.8519 | + | 12.8134i | 3.77265 | + | 0.605378i | ||||
\(449\) | −16.6220 | + | 8.00474i | −0.784441 | + | 0.377767i | −0.782833 | − | 0.622232i | \(-0.786226\pi\) |
−0.00160815 | + | 0.999999i | \(0.500512\pi\) | |||||||
\(450\) | 8.54679 | + | 5.30972i | 0.402900 | + | 0.250303i | ||||
\(451\) | 1.44199 | + | 19.2421i | 0.0679009 | + | 0.906074i | ||||
\(452\) | −49.7593 | − | 62.3962i | −2.34048 | − | 2.93487i | ||||
\(453\) | 12.0876 | − | 0.256888i | 0.567926 | − | 0.0120697i | ||||
\(454\) | −25.9174 | + | 66.0365i | −1.21637 | + | 3.09925i | ||||
\(455\) | 5.72451 | − | 3.82368i | 0.268369 | − | 0.179257i | ||||
\(456\) | −67.0245 | + | 11.5638i | −3.13871 | + | 0.541523i | ||||
\(457\) | −1.95757 | − | 26.1220i | −0.0915714 | − | 1.22194i | −0.833906 | − | 0.551906i | \(-0.813901\pi\) |
0.742335 | − | 0.670029i | \(-0.233718\pi\) | |||||||
\(458\) | −5.69172 | + | 5.28114i | −0.265956 | + | 0.246771i | ||||
\(459\) | 14.7543 | + | 1.26982i | 0.688673 | + | 0.0592701i | ||||
\(460\) | −44.0179 | + | 76.2412i | −2.05234 | + | 3.55476i | ||||
\(461\) | −17.9204 | − | 5.52771i | −0.834637 | − | 0.257451i | −0.152157 | − | 0.988356i | \(-0.548622\pi\) |
−0.682479 | + | 0.730905i | \(0.739098\pi\) | |||||||
\(462\) | −17.7390 | + | 31.5752i | −0.825293 | + | 1.46901i | ||||
\(463\) | 12.6262 | − | 3.89466i | 0.586788 | − | 0.181000i | 0.0128758 | − | 0.999917i | \(-0.495901\pi\) |
0.573912 | + | 0.818917i | \(0.305425\pi\) | |||||||
\(464\) | −31.5931 | + | 138.418i | −1.46667 | + | 6.42590i | ||||
\(465\) | −32.4416 | + | 5.59717i | −1.50444 | + | 0.259563i | ||||
\(466\) | −8.80188 | + | 11.0372i | −0.407739 | + | 0.511289i | ||||
\(467\) | 3.24314 | + | 3.00919i | 0.150074 | + | 0.139249i | 0.751637 | − | 0.659577i | \(-0.229264\pi\) |
−0.601563 | + | 0.798826i | \(0.705455\pi\) | |||||||
\(468\) | 10.1112 | − | 13.8474i | 0.467392 | − | 0.640098i | ||||
\(469\) | 3.20237 | + | 0.0304521i | 0.147872 | + | 0.00140615i | ||||
\(470\) | −16.7375 | − | 5.16285i | −0.772045 | − | 0.238144i | ||||
\(471\) | 0.850657 | + | 0.756302i | 0.0391962 | + | 0.0348486i | ||||
\(472\) | 66.5668 | − | 115.297i | 3.06399 | − | 5.30698i | ||||
\(473\) | 2.09220 | + | 0.645358i | 0.0961995 | + | 0.0296736i | ||||
\(474\) | 5.18900 | + | 12.4376i | 0.238339 | + | 0.571277i | ||||
\(475\) | 1.84771 | + | 4.70789i | 0.0847787 | + | 0.216013i | ||||
\(476\) | −20.3229 | − | 35.9863i | −0.931500 | − | 1.64943i | ||||
\(477\) | −20.0011 | + | 20.2061i | −0.915788 | + | 0.925174i | ||||
\(478\) | −16.6783 | − | 5.14457i | −0.762846 | − | 0.235307i | ||||
\(479\) | 2.25771 | + | 2.83108i | 0.103158 | + | 0.129355i | 0.830730 | − | 0.556675i | \(-0.187923\pi\) |
−0.727573 | + | 0.686030i | \(0.759352\pi\) | |||||||
\(480\) | −36.9463 | − | 88.5572i | −1.68636 | − | 4.04206i | ||||
\(481\) | 1.36068 | − | 1.70624i | 0.0620417 | − | 0.0777978i | ||||
\(482\) | −2.52063 | − | 1.71854i | −0.114812 | − | 0.0782772i | ||||
\(483\) | −15.0480 | − | 25.3713i | −0.684707 | − | 1.15443i | ||||
\(484\) | −12.0045 | + | 8.18455i | −0.545660 | + | 0.372025i | ||||
\(485\) | −1.56591 | + | 20.8956i | −0.0711041 | + | 0.948819i | ||||
\(486\) | −28.0033 | + | 32.1512i | −1.27026 | + | 1.45841i | ||||
\(487\) | 17.5927 | + | 11.9945i | 0.797200 | + | 0.543522i | 0.892033 | − | 0.451971i | \(-0.149279\pi\) |
−0.0948320 | + | 0.995493i | \(0.530231\pi\) | |||||||
\(488\) | 8.61691 | − | 21.9555i | 0.390069 | − | 0.993880i | ||||
\(489\) | 28.7710 | + | 25.5797i | 1.30107 | + | 1.15675i | ||||
\(490\) | 42.6409 | + | 21.5431i | 1.92632 | + | 0.973219i | ||||
\(491\) | 3.77466 | + | 6.53791i | 0.170348 | + | 0.295052i | 0.938542 | − | 0.345166i | \(-0.112177\pi\) |
−0.768193 | + | 0.640218i | \(0.778844\pi\) | |||||||
\(492\) | 56.5211 | − | 28.7142i | 2.54817 | − | 1.29454i | ||||
\(493\) | 24.1762 | − | 11.6426i | 1.08884 | − | 0.524357i | ||||
\(494\) | 11.2405 | − | 3.46724i | 0.505735 | − | 0.155998i | ||||
\(495\) | 21.6105 | − | 0.918954i | 0.971318 | − | 0.0413039i | ||||
\(496\) | 103.488 | + | 49.8373i | 4.64676 | + | 2.23776i | ||||
\(497\) | −21.9310 | + | 6.53708i | −0.983738 | + | 0.293228i | ||||
\(498\) | −1.39943 | − | 5.58183i | −0.0627100 | − | 0.250128i | ||||
\(499\) | 10.3622 | − | 12.9938i | 0.463875 | − | 0.581680i | −0.493785 | − | 0.869584i | \(-0.664387\pi\) |
0.957659 | + | 0.287904i | \(0.0929584\pi\) | |||||||
\(500\) | 42.6434 | − | 29.0738i | 1.90707 | − | 1.30022i | ||||
\(501\) | −16.2908 | − | 10.6070i | −0.727820 | − | 0.473885i | ||||
\(502\) | 56.9742 | − | 52.8643i | 2.54288 | − | 2.35945i | ||||
\(503\) | 0.119020 | + | 0.149246i | 0.00530682 | + | 0.00665455i | 0.784478 | − | 0.620157i | \(-0.212931\pi\) |
−0.779171 | + | 0.626811i | \(0.784360\pi\) | |||||||
\(504\) | 75.0576 | + | 8.79240i | 3.34333 | + | 0.391645i | ||||
\(505\) | 7.61987 | − | 9.55501i | 0.339080 | − | 0.425192i | ||||
\(506\) | 3.80175 | + | 50.7308i | 0.169008 | + | 2.25526i | ||||
\(507\) | 9.93466 | − | 18.0841i | 0.441214 | − | 0.803145i | ||||
\(508\) | 19.7363 | − | 34.1843i | 0.875657 | − | 1.51668i | ||||
\(509\) | −33.9021 | −1.50268 | −0.751342 | − | 0.659913i | \(-0.770593\pi\) | ||||
−0.751342 | + | 0.659913i | \(0.770593\pi\) | |||||||
\(510\) | −16.2210 | + | 29.5272i | −0.718277 | + | 1.30749i | ||||
\(511\) | −2.42099 | − | 6.34534i | −0.107098 | − | 0.280701i | ||||
\(512\) | −10.6036 | + | 46.4573i | −0.468616 | + | 2.05314i | ||||
\(513\) | −20.9450 | + | 4.53760i | −0.924745 | + | 0.200340i | ||||
\(514\) | 31.3191 | + | 4.72060i | 1.38143 | + | 0.208217i | ||||
\(515\) | 12.3584 | − | 15.4969i | 0.544576 | − | 0.682877i | ||||
\(516\) | −0.689862 | − | 7.16031i | −0.0303695 | − | 0.315215i | ||||
\(517\) | −7.08632 | + | 2.18584i | −0.311656 | + | 0.0961331i | ||||
\(518\) | 14.9538 | + | 2.39956i | 0.657031 | + | 0.105431i | ||||
\(519\) | −6.30630 | − | 10.4058i | −0.276816 | − | 0.456763i | ||||
\(520\) | 12.3866 | + | 21.4542i | 0.543187 | + | 0.940827i | ||||
\(521\) | −12.8981 | − | 22.3401i | −0.565074 | − | 0.978737i | −0.997043 | − | 0.0768483i | \(-0.975514\pi\) |
0.431969 | − | 0.901889i | \(-0.357819\pi\) | |||||||
\(522\) | −13.9758 | + | 75.9825i | −0.611705 | + | 3.32567i | ||||
\(523\) | 2.75666 | − | 1.87946i | 0.120540 | − | 0.0821830i | −0.501549 | − | 0.865129i | \(-0.667236\pi\) |
0.622089 | + | 0.782946i | \(0.286284\pi\) | |||||||
\(524\) | 29.4642 | + | 75.0735i | 1.28715 | + | 3.27960i | ||||
\(525\) | −0.485691 | − | 5.59833i | −0.0211973 | − | 0.244331i | ||||
\(526\) | 11.3653 | − | 28.9583i | 0.495550 | − | 1.26264i | ||||
\(527\) | −4.83069 | − | 21.1646i | −0.210428 | − | 0.921946i | ||||
\(528\) | −63.2442 | − | 41.1784i | −2.75235 | − | 1.79206i | ||||
\(529\) | −16.6098 | − | 7.99884i | −0.722164 | − | 0.347776i | ||||
\(530\) | −23.6301 | − | 60.2084i | −1.02642 | − | 2.61529i | ||||
\(531\) | 19.4123 | − | 37.1875i | 0.842421 | − | 1.61380i | ||||
\(532\) | 43.4544 | + | 41.0956i | 1.88399 | + | 1.78172i | ||||
\(533\) | −5.75355 | + | 3.92270i | −0.249214 | + | 0.169911i | ||||
\(534\) | −11.8525 | − | 47.2754i | −0.512908 | − | 2.04581i | ||||
\(535\) | 13.7798 | + | 12.7857i | 0.595751 | + | 0.552776i | ||||
\(536\) | −0.861234 | + | 11.4924i | −0.0371996 | + | 0.496395i | ||||
\(537\) | −18.5782 | − | 12.0963i | −0.801707 | − | 0.521993i | ||||
\(538\) | −12.4802 | + | 21.6163i | −0.538059 | + | 0.931946i | ||||
\(539\) | 20.0543 | − | 2.63371i | 0.863798 | − | 0.113442i | ||||
\(540\) | −30.1243 | − | 64.3641i | −1.29634 | − | 2.76979i | ||||
\(541\) | −17.2361 | + | 2.59792i | −0.741037 | + | 0.111693i | −0.508702 | − | 0.860943i | \(-0.669875\pi\) |
−0.232335 | + | 0.972636i | \(0.574636\pi\) | |||||||
\(542\) | 20.5214 | − | 9.88257i | 0.881468 | − | 0.424493i | ||||
\(543\) | −14.1572 | − | 6.45086i | −0.607544 | − | 0.276833i | ||||
\(544\) | 57.0091 | − | 27.4541i | 2.44425 | − | 1.17709i | ||||
\(545\) | −2.46418 | − | 32.8822i | −0.105554 | − | 1.40852i | ||||
\(546\) | −13.0690 | + | 0.153438i | −0.559303 | + | 0.00656654i | ||||
\(547\) | −0.618243 | + | 8.24988i | −0.0264342 | + | 0.352739i | 0.968266 | + | 0.249922i | \(0.0804049\pi\) |
−0.994700 | + | 0.102818i | \(0.967214\pi\) | |||||||
\(548\) | −9.39812 | − | 23.9460i | −0.401468 | − | 1.02292i | ||||
\(549\) | 2.41875 | − | 7.02711i | 0.103230 | − | 0.299910i | ||||
\(550\) | −3.54060 | + | 9.02131i | −0.150972 | + | 0.384670i | ||||
\(551\) | −28.4663 | + | 26.4129i | −1.21270 | + | 1.12523i | ||||
\(552\) | 94.6400 | − | 48.0796i | 4.02814 | − | 2.04640i | ||||
\(553\) | 3.82503 | − | 6.48201i | 0.162657 | − | 0.275643i | ||||
\(554\) | −58.9931 | − | 8.89177i | −2.50637 | − | 0.377775i | ||||
\(555\) | −3.48272 | − | 8.34779i | −0.147833 | − | 0.354344i | ||||
\(556\) | 5.20879 | + | 22.8212i | 0.220902 | + | 0.967835i | ||||
\(557\) | 11.5207 | + | 19.9545i | 0.488149 | + | 0.845500i | 0.999907 | − | 0.0136303i | \(-0.00433879\pi\) |
−0.511758 | + | 0.859130i | \(0.671005\pi\) | |||||||
\(558\) | 57.4144 | + | 24.7020i | 2.43055 | + | 1.04572i | ||||
\(559\) | 0.175822 | + | 0.770325i | 0.00743646 | + | 0.0325813i | ||||
\(560\) | −50.5930 | + | 85.7364i | −2.13794 | + | 3.62302i | ||||
\(561\) | 1.36788 | + | 14.1976i | 0.0577517 | + | 0.599425i | ||||
\(562\) | 6.53778 | − | 28.6439i | 0.275780 | − | 1.20827i | ||||
\(563\) | −15.4516 | − | 39.3701i | −0.651209 | − | 1.65925i | −0.747796 | − | 0.663929i | \(-0.768888\pi\) |
0.0965864 | − | 0.995325i | \(-0.469208\pi\) | |||||||
\(564\) | 15.5923 | + | 18.7218i | 0.656552 | + | 0.788329i | ||||
\(565\) | 34.7186 | − | 10.7093i | 1.46062 | − | 0.450542i | ||||
\(566\) | 4.11384 | − | 18.0239i | 0.172918 | − | 0.757602i | ||||
\(567\) | 23.7464 | + | 1.76314i | 0.997255 | + | 0.0740448i | ||||
\(568\) | −18.3251 | − | 80.2876i | −0.768905 | − | 3.36879i | ||||
\(569\) | −0.404074 | − | 0.699877i | −0.0169397 | − | 0.0293404i | 0.857431 | − | 0.514598i | \(-0.172059\pi\) |
−0.874371 | + | 0.485258i | \(0.838726\pi\) | |||||||
\(570\) | 9.83645 | − | 47.7516i | 0.412004 | − | 2.00009i | ||||
\(571\) | −32.0113 | − | 9.87419i | −1.33963 | − | 0.413222i | −0.459596 | − | 0.888128i | \(-0.652006\pi\) |
−0.880037 | + | 0.474906i | \(0.842482\pi\) | |||||||
\(572\) | 14.8791 | + | 7.16538i | 0.622125 | + | 0.299600i | ||||
\(573\) | −2.54071 | + | 6.90132i | −0.106140 | + | 0.288307i | ||||
\(574\) | −43.3383 | − | 21.3806i | −1.80890 | − | 0.892411i | ||||
\(575\) | −4.92144 | − | 6.17129i | −0.205238 | − | 0.257361i | ||||
\(576\) | −16.5889 | + | 90.1889i | −0.691203 | + | 3.75787i | ||||
\(577\) | −16.3823 | + | 41.7415i | −0.682006 | + | 1.73772i | −0.00692905 | + | 0.999976i | \(0.502206\pi\) |
−0.675077 | + | 0.737747i | \(0.735890\pi\) | |||||||
\(578\) | 21.8771 | + | 10.5355i | 0.909967 | + | 0.438217i | ||||
\(579\) | 21.9953 | − | 3.79486i | 0.914094 | − | 0.157709i | ||||
\(580\) | −106.394 | − | 72.5380i | −4.41776 | − | 3.01198i | ||||
\(581\) | −2.02759 | + | 2.49350i | −0.0841186 | + | 0.103448i | ||||
\(582\) | 24.1378 | − | 31.6236i | 1.00055 | − | 1.31084i | ||||
\(583\) | −22.6256 | − | 15.4259i | −0.937058 | − | 0.638876i | ||||
\(584\) | 23.3542 | − | 7.20381i | 0.966403 | − | 0.298096i | ||||
\(585\) | 4.18659 | + | 6.58812i | 0.173094 | + | 0.272385i | ||||
\(586\) | −46.0121 | + | 6.93521i | −1.90074 | + | 0.286491i | ||||
\(587\) | 4.75045 | − | 8.22803i | 0.196072 | − | 0.339607i | −0.751179 | − | 0.660098i | \(-0.770515\pi\) |
0.947251 | + | 0.320491i | \(0.103848\pi\) | |||||||
\(588\) | −33.3551 | − | 57.4762i | −1.37554 | − | 2.37028i | ||||
\(589\) | 15.7082 | + | 27.2074i | 0.647246 | + | 1.12106i | ||||
\(590\) | 59.5012 | + | 74.6122i | 2.44963 | + | 3.07174i | ||||
\(591\) | −1.79183 | − | 7.14697i | −0.0737060 | − | 0.293987i | ||||
\(592\) | −7.02258 | + | 30.7679i | −0.288626 | + | 1.26455i | ||||
\(593\) | −0.915234 | + | 12.2130i | −0.0375842 | + | 0.501526i | 0.946368 | + | 0.323092i | \(0.104722\pi\) |
−0.983952 | + | 0.178434i | \(0.942897\pi\) | |||||||
\(594\) | −35.3352 | − | 20.9249i | −1.44982 | − | 0.858559i | ||||
\(595\) | 18.6306 | − | 2.62718i | 0.763779 | − | 0.107704i | ||||
\(596\) | 7.31585 | − | 97.6233i | 0.299669 | − | 3.99881i | ||||
\(597\) | −6.74801 | + | 18.3296i | −0.276178 | + | 0.750181i | ||||
\(598\) | −15.1689 | + | 10.3420i | −0.620304 | + | 0.422916i | ||||
\(599\) | 36.2132 | − | 5.45826i | 1.47963 | − | 0.223019i | 0.640926 | − | 0.767603i | \(-0.278551\pi\) |
0.838706 | + | 0.544584i | \(0.183313\pi\) | |||||||
\(600\) | 20.2173 | − | 0.429662i | 0.825368 | − | 0.0175409i | ||||
\(601\) | −21.3092 | + | 3.21184i | −0.869219 | + | 0.131014i | −0.568484 | − | 0.822694i | \(-0.692470\pi\) |
−0.300735 | + | 0.953708i | \(0.597232\pi\) | |||||||
\(602\) | −4.05487 | + | 3.69124i | −0.165264 | + | 0.150444i | ||||
\(603\) | −0.117278 | + | 3.62941i | −0.00477591 | + | 0.147801i | ||||
\(604\) | 31.6114 | − | 21.5523i | 1.28625 | − | 0.876950i | ||||
\(605\) | −1.47185 | − | 6.44859i | −0.0598392 | − | 0.262173i | ||||
\(606\) | −22.0219 | + | 7.30878i | −0.894578 | + | 0.296899i | ||||
\(607\) | −24.3184 | −0.987052 | −0.493526 | − | 0.869731i | \(-0.664292\pi\) | ||||
−0.493526 | + | 0.869731i | \(0.664292\pi\) | |||||||
\(608\) | −67.1256 | + | 62.2834i | −2.72230 | + | 2.52593i | ||||
\(609\) | 38.6514 | − | 19.1757i | 1.56623 | − | 0.777039i | ||||
\(610\) | 12.3936 | + | 11.4996i | 0.501801 | + | 0.465604i | ||||
\(611\) | −1.96180 | − | 1.82028i | −0.0793657 | − | 0.0736406i | ||||
\(612\) | 41.3192 | − | 22.1081i | 1.67023 | − | 0.893666i | ||||
\(613\) | −7.02044 | − | 1.05816i | −0.283553 | − | 0.0427387i | 0.00572592 | − | 0.999984i | \(-0.498177\pi\) |
−0.289279 | + | 0.957245i | \(0.593415\pi\) | |||||||
\(614\) | −44.1609 | + | 13.6218i | −1.78219 | + | 0.549733i | ||||
\(615\) | 2.76786 | + | 28.7285i | 0.111611 | + | 1.15845i | ||||
\(616\) | 4.74896 | + | 72.6321i | 0.191341 | + | 2.92643i | ||||
\(617\) | −11.2700 | + | 10.4570i | −0.453712 | + | 0.420983i | −0.873639 | − | 0.486575i | \(-0.838246\pi\) |
0.419927 | + | 0.907558i | \(0.362056\pi\) | |||||||
\(618\) | −35.7165 | + | 11.8539i | −1.43673 | + | 0.476832i | ||||
\(619\) | −40.9897 | −1.64751 | −0.823757 | − | 0.566943i | \(-0.808126\pi\) | ||||
−0.823757 | + | 0.566943i | \(0.808126\pi\) | |||||||
\(620\) | −76.3671 | + | 70.8583i | −3.06697 | + | 2.84574i | ||||
\(621\) | 29.1497 | − | 16.4027i | 1.16974 | − | 0.658219i | ||||
\(622\) | −6.65172 | + | 8.34099i | −0.266709 | + | 0.334443i | ||||
\(623\) | −17.1727 | + | 21.1188i | −0.688011 | + | 0.846106i | ||||
\(624\) | 1.45776 | − | 27.1960i | 0.0583571 | − | 1.08871i | ||||
\(625\) | 6.59275 | + | 28.8847i | 0.263710 | + | 1.15539i | ||||
\(626\) | 11.1983 | − | 1.68787i | 0.447574 | − | 0.0674609i | ||||
\(627\) | −7.94774 | − | 19.0501i | −0.317402 | − | 0.760786i | ||||
\(628\) | 3.56171 | + | 0.536841i | 0.142128 | + | 0.0214223i | ||||
\(629\) | 5.37393 | − | 2.58795i | 0.214273 | − | 0.103188i | ||||
\(630\) | −25.5232 | + | 47.7809i | −1.01687 | + | 1.90364i | ||||
\(631\) | −1.96530 | − | 0.946437i | −0.0782372 | − | 0.0376770i | 0.394356 | − | 0.918958i | \(-0.370968\pi\) |
−0.472593 | + | 0.881281i | \(0.656682\pi\) | |||||||
\(632\) | 22.3785 | + | 15.2574i | 0.890167 | + | 0.606906i | ||||
\(633\) | 3.50227 | + | 36.3513i | 0.139203 | + | 1.44483i | ||||
\(634\) | −4.96248 | + | 66.2197i | −0.197085 | + | 2.62992i | ||||
\(635\) | 11.2041 | + | 14.0496i | 0.444623 | + | 0.557539i | ||||
\(636\) | −18.1518 | + | 88.1191i | −0.719767 | + | 3.49415i | ||||
\(637\) | 4.44170 | + | 5.79235i | 0.175987 | + | 0.229501i | ||||
\(638\) | −74.4114 | −2.94598 | ||||||||
\(639\) | −6.84368 | − | 25.0298i | −0.270732 | − | 0.990165i | ||||
\(640\) | −80.8205 | − | 55.1025i | −3.19471 | − | 2.17812i | ||||
\(641\) | 3.11976 | − | 13.6686i | 0.123223 | − | 0.539877i | −0.875201 | − | 0.483760i | \(-0.839271\pi\) |
0.998424 | − | 0.0561169i | \(-0.0178720\pi\) | |||||||
\(642\) | −8.67904 | − | 34.6176i | −0.342534 | − | 1.36625i | ||||
\(643\) | 0.293288 | + | 3.91365i | 0.0115661 | + | 0.154339i | 0.999996 | + | 0.00266368i | \(0.000847877\pi\) |
−0.988430 | + | 0.151676i | \(0.951533\pi\) | |||||||
\(644\) | −83.7128 | − | 41.2991i | −3.29874 | − | 1.62741i | ||||
\(645\) | 3.14916 | + | 0.898570i | 0.123998 | + | 0.0353812i | ||||
\(646\) | 31.7907 | + | 4.79168i | 1.25079 | + | 0.188526i | ||||
\(647\) | 2.25129 | + | 30.0414i | 0.0885074 | + | 1.18105i | 0.847806 | + | 0.530307i | \(0.177923\pi\) |
−0.759298 | + | 0.650743i | \(0.774458\pi\) | |||||||
\(648\) | −11.9067 | + | 84.8580i | −0.467741 | + | 3.33354i | ||||
\(649\) | 38.6091 | + | 11.9093i | 1.51554 | + | 0.467482i | ||||
\(650\) | −3.45830 | + | 0.521255i | −0.135646 | + | 0.0204453i | ||||
\(651\) | −8.16645 | − | 33.9379i | −0.320068 | − | 1.33013i | ||||
\(652\) | 120.464 | + | 18.1571i | 4.71774 | + | 0.711086i | ||||
\(653\) | −8.88665 | − | 4.27959i | −0.347762 | − | 0.167473i | 0.251846 | − | 0.967767i | \(-0.418962\pi\) |
−0.599608 | + | 0.800294i | \(0.704677\pi\) | |||||||
\(654\) | −30.1431 | + | 54.8698i | −1.17869 | + | 2.14558i | ||||
\(655\) | −36.7155 | −1.43459 | ||||||||
\(656\) | 50.3500 | − | 87.2087i | 1.96584 | − | 3.40493i | ||||
\(657\) | 7.25564 | − | 2.58045i | 0.283069 | − | 0.100673i | ||||
\(658\) | 4.30469 | − | 18.0665i | 0.167814 | − | 0.704304i | ||||
\(659\) | −12.6877 | − | 11.7724i | −0.494242 | − | 0.458589i | 0.393238 | − | 0.919437i | \(-0.371355\pi\) |
−0.887479 | + | 0.460848i | \(0.847545\pi\) | |||||||
\(660\) | 55.7217 | − | 39.7506i | 2.16896 | − | 1.54729i | ||||
\(661\) | −6.23349 | − | 15.8827i | −0.242455 | − | 0.617765i | 0.756906 | − | 0.653524i | \(-0.226710\pi\) |
−0.999360 | + | 0.0357595i | \(0.988615\pi\) | |||||||
\(662\) | 25.2157 | + | 64.2485i | 0.980034 | + | 2.49709i | ||||
\(663\) | −4.19038 | + | 2.98932i | −0.162741 | + | 0.116096i | ||||
\(664\) | −8.47797 | − | 7.86641i | −0.329009 | − | 0.305276i | ||||
\(665\) | −24.6431 | + | 11.5801i | −0.955618 | + | 0.449058i | ||||
\(666\) | −3.10658 | + | 16.8896i | −0.120378 | + | 0.654458i | ||||
\(667\) | 30.3036 | − | 52.4873i | 1.17336 | − | 2.03232i | ||||
\(668\) | −61.5158 | −2.38012 | ||||||||
\(669\) | 9.33614 | − | 16.9946i | 0.360956 | − | 0.657051i | ||||
\(670\) | −7.44294 | − | 3.58433i | −0.287546 | − | 0.138475i | ||||
\(671\) | 7.07804 | + | 1.06684i | 0.273245 | + | 0.0411850i | ||||
\(672\) | 91.1427 | − | 45.2177i | 3.51591 | − | 1.74431i | ||||
\(673\) | −15.4955 | + | 2.33557i | −0.597307 | + | 0.0900296i | −0.440736 | − | 0.897637i | \(-0.645282\pi\) |
−0.156572 | + | 0.987667i | \(0.550044\pi\) | |||||||
\(674\) | 20.4887 | + | 6.31994i | 0.789197 | + | 0.243435i | ||||
\(675\) | 6.35881 | − | 0.405905i | 0.244751 | − | 0.0156233i | ||||
\(676\) | −4.87937 | − | 65.1107i | −0.187668 | − | 2.50426i | ||||
\(677\) | −6.07438 | − | 0.915565i | −0.233457 | − | 0.0351880i | 0.0312716 | − | 0.999511i | \(-0.490044\pi\) |
−0.264729 | + | 0.964323i | \(0.585282\pi\) | |||||||
\(678\) | −66.3329 | − | 18.9272i | −2.54750 | − | 0.726894i | ||||
\(679\) | −22.2171 | − | 0.211267i | −0.852612 | − | 0.00810769i | ||||
\(680\) | 5.05979 | + | 67.5182i | 0.194034 | + | 2.58920i | ||||
\(681\) | 10.9248 | + | 43.5750i | 0.418638 | + | 1.66980i | ||||
\(682\) | −13.3959 | + | 58.6912i | −0.512955 | + | 2.24740i | ||||
\(683\) | −32.4295 | − | 22.1100i | −1.24088 | − | 0.846017i | −0.248427 | − | 0.968651i | \(-0.579914\pi\) |
−0.992452 | + | 0.122634i | \(0.960866\pi\) | |||||||
\(684\) | −47.7089 | + | 48.1978i | −1.82419 | + | 1.84289i | ||||
\(685\) | 11.7110 | 0.447456 | ||||||||
\(686\) | −19.8440 | + | 46.6069i | −0.757647 | + | 1.77946i | ||||
\(687\) | −0.992009 | + | 4.81576i | −0.0378475 | + | 0.183733i | ||||
\(688\) | −7.12410 | − | 8.93334i | −0.271604 | − | 0.340580i | ||||
\(689\) | 0.738504 | − | 9.85465i | 0.0281348 | − | 0.375432i | ||||
\(690\) | 7.29732 | + | 75.7414i | 0.277804 | + | 2.88342i | ||||
\(691\) | 18.6274 | + | 12.6999i | 0.708619 | + | 0.483128i | 0.863207 | − | 0.504851i | \(-0.168452\pi\) |
−0.154587 | + | 0.987979i | \(0.549405\pi\) | |||||||
\(692\) | −34.6906 | − | 16.7061i | −1.31874 | − | 0.635072i | ||||
\(693\) | 2.46732 | + | 22.8016i | 0.0937256 | + | 0.866159i | ||||
\(694\) | −46.0950 | + | 22.1982i | −1.74974 | + | 0.842631i | ||||
\(695\) | −10.5376 | − | 1.58829i | −0.399714 | − | 0.0602471i | ||||
\(696\) | 59.7840 | + | 143.297i | 2.26611 | + | 5.43166i | ||||
\(697\) | −18.8195 | + | 2.83658i | −0.712839 | + | 0.107443i | ||||
\(698\) | 14.7470 | + | 64.6110i | 0.558184 | + | 2.44556i | ||||
\(699\) | −0.478504 | + | 8.92697i | −0.0180987 | + | 0.337649i | ||||
\(700\) | −10.9543 | − | 14.0075i | −0.414035 | − | 0.529433i | ||||
\(701\) | 4.11322 | − | 5.15781i | 0.155354 | − | 0.194808i | −0.698063 | − | 0.716036i | \(-0.745955\pi\) |
0.853417 | + | 0.521228i | \(0.174526\pi\) | |||||||
\(702\) | 0.163799 | − | 14.8190i | 0.00618220 | − | 0.559307i | ||||
\(703\) | −6.32755 | + | 5.87111i | −0.238648 | + | 0.221433i | ||||
\(704\) | −88.3240 | −3.32884 | ||||||||
\(705\) | −10.5273 | + | 3.49388i | −0.396482 | + | 0.131587i | ||||
\(706\) | −51.2995 | + | 47.5990i | −1.93068 | + | 1.79141i | ||||
\(707\) | 10.6369 | + | 7.40125i | 0.400042 | + | 0.278353i | ||||
\(708\) | −12.7306 | − | 132.135i | −0.478445 | − | 4.96594i | ||||
\(709\) | 26.3241 | − | 8.11992i | 0.988624 | − | 0.304950i | 0.242058 | − | 0.970262i | \(-0.422178\pi\) |
0.746566 | + | 0.665312i | \(0.231701\pi\) | |||||||
\(710\) | 58.3724 | + | 8.79822i | 2.19068 | + | 0.330191i | ||||
\(711\) | 7.24915 | + | 4.50356i | 0.271864 | + | 0.168897i | ||||
\(712\) | −71.8044 | − | 66.6247i | −2.69098 | − | 2.49687i | ||||
\(713\) | −35.9434 | − | 33.3506i | −1.34609 | − | 1.24899i | ||||
\(714\) | −32.3637 | − | 15.1201i | −1.21118 | − | 0.565854i | ||||
\(715\) | −5.51130 | + | 5.11374i | −0.206111 | + | 0.191243i | ||||
\(716\) | −70.1531 | −2.62175 | ||||||||
\(717\) | −10.4900 | + | 3.48151i | −0.391758 | + | 0.130019i | ||||
\(718\) | 3.58996 | + | 15.7287i | 0.133976 | + | 0.586988i | ||||
\(719\) | 40.3102 | − | 27.4830i | 1.50332 | − | 1.02494i | 0.517773 | − | 0.855518i | \(-0.326761\pi\) |
0.985543 | − | 0.169426i | \(-0.0541912\pi\) | |||||||
\(720\) | −95.8832 | − | 59.5678i | −3.57336 | − | 2.21996i | ||||
\(721\) | 17.2516 | + | 12.0038i | 0.642484 | + | 0.447046i | ||||
\(722\) | 5.38080 | − | 0.811025i | 0.200253 | − | 0.0301832i | ||||
\(723\) | −1.93146 | + | 0.0410478i | −0.0718319 | + | 0.00152658i | ||||
\(724\) | −48.6816 | + | 7.33757i | −1.80924 | + | 0.272699i | ||||
\(725\) | 9.53938 | − | 6.50384i | 0.354284 | − | 0.241546i | ||||
\(726\) | −4.33853 | + | 11.7847i | −0.161018 | + | 0.437373i | ||||
\(727\) | −2.46791 | + | 32.9320i | −0.0915299 | + | 1.22138i | 0.742570 | + | 0.669768i | \(0.233607\pi\) |
−0.834100 | + | 0.551613i | \(0.814013\pi\) | |||||||
\(728\) | −21.8429 | + | 14.5899i | −0.809550 | + | 0.540738i | ||||
\(729\) | −2.61236 | + | 26.8733i | −0.0967539 | + | 0.995308i | ||||
\(730\) | −1.30920 | + | 17.4700i | −0.0484556 | + | 0.646595i | ||||
\(731\) | −0.480538 | + | 2.10538i | −0.0177734 | + | 0.0778702i | ||||
\(732\) | −5.71909 | − | 22.8114i | −0.211384 | − | 0.843134i | ||||
\(733\) | 0.0315145 | + | 0.0395180i | 0.00116402 | + | 0.00145963i | 0.782413 | − | 0.622760i | \(-0.213989\pi\) |
−0.781249 | + | 0.624219i | \(0.785417\pi\) | |||||||
\(734\) | 2.75725 | + | 4.77570i | 0.101772 | + | 0.176274i | ||||
\(735\) | 29.9052 | − | 4.57574i | 1.10307 | − | 0.168779i | ||||
\(736\) | 71.4580 | − | 123.769i | 2.63398 | − | 4.56218i | ||||
\(737\) | −3.45848 | + | 0.521283i | −0.127395 | + | 0.0192017i | ||||
\(738\) | 25.3570 | − | 48.5757i | 0.933405 | − | 1.78810i | ||||
\(739\) | −48.0494 | + | 14.8213i | −1.76752 | + | 0.545209i | −0.995867 | − | 0.0908285i | \(-0.971048\pi\) |
−0.771658 | + | 0.636038i | \(0.780572\pi\) | |||||||
\(740\) | −23.6495 | − | 16.1239i | −0.869371 | − | 0.592727i | ||||
\(741\) | 4.51964 | − | 5.92130i | 0.166033 | − | 0.217524i | ||||
\(742\) | 62.0693 | − | 29.1672i | 2.27863 | − | 1.07076i | ||||
\(743\) | −2.66344 | − | 1.81590i | −0.0977120 | − | 0.0666189i | 0.513478 | − | 0.858103i | \(-0.328357\pi\) |
−0.611190 | + | 0.791484i | \(0.709309\pi\) | |||||||
\(744\) | 123.787 | − | 21.3570i | 4.53824 | − | 0.782985i | ||||
\(745\) | 40.1543 | + | 19.3373i | 1.47114 | + | 0.708464i | ||||
\(746\) | 14.6330 | − | 37.2842i | 0.535751 | − | 1.36507i | ||||
\(747\) | −2.77423 | − | 2.36291i | −0.101504 | − | 0.0864544i | ||||
\(748\) | 28.1417 | + | 35.2886i | 1.02896 | + | 1.29028i | ||||
\(749\) | −12.5748 | + | 15.4643i | −0.459472 | + | 0.565053i | ||||
\(750\) | 15.4117 | − | 41.8627i | 0.562755 | − | 1.52861i | ||||
\(751\) | 36.9359 | + | 17.7874i | 1.34781 | + | 0.649071i | 0.961884 | − | 0.273458i | \(-0.0881676\pi\) |
0.385926 | + | 0.922530i | \(0.373882\pi\) | |||||||
\(752\) | 36.9813 | + | 11.4072i | 1.34857 | + | 0.415978i | ||||
\(753\) | 9.93003 | − | 48.2059i | 0.361871 | − | 1.75672i | ||||
\(754\) | −13.4268 | − | 23.2558i | −0.488974 | − | 0.846928i | ||||
\(755\) | 3.87581 | + | 16.9810i | 0.141055 | + | 0.618002i | ||||
\(756\) | 66.0170 | − | 36.3260i | 2.40101 | − | 1.32116i | ||||
\(757\) | −10.3200 | + | 45.2151i | −0.375089 | + | 1.64337i | 0.337163 | + | 0.941446i | \(0.390533\pi\) |
−0.712252 | + | 0.701924i | \(0.752325\pi\) | |||||||
\(758\) | 81.5029 | − | 25.1403i | 2.96032 | − | 0.913137i | ||||
\(759\) | 20.6168 | + | 24.7548i | 0.748344 | + | 0.898544i | ||||
\(760\) | −35.7976 | − | 91.2108i | −1.29852 | − | 3.30856i | ||||
\(761\) | 7.45505 | − | 32.6627i | 0.270246 | − | 1.18402i | −0.639478 | − | 0.768809i | \(-0.720850\pi\) |
0.909724 | − | 0.415214i | \(-0.136293\pi\) | |||||||
\(762\) | −3.27191 | − | 33.9602i | −0.118529 | − | 1.23025i | ||||
\(763\) | 34.6208 | − | 4.88204i | 1.25336 | − | 0.176742i | ||||
\(764\) | 5.17848 | + | 22.6884i | 0.187351 | + | 0.820837i | ||||
\(765\) | 2.49671 | + | 21.1875i | 0.0902686 | + | 0.766035i | ||||
\(766\) | 6.35522 | + | 11.0076i | 0.229624 | + | 0.397720i | ||||
\(767\) | 3.24458 | + | 14.2154i | 0.117155 | + | 0.513290i | ||||
\(768\) | 30.7358 | + | 73.6710i | 1.10908 | + | 2.65837i | ||||
\(769\) | 10.7636 | + | 1.62235i | 0.388144 | + | 0.0585033i | 0.340216 | − | 0.940347i | \(-0.389500\pi\) |
0.0479284 | + | 0.998851i | \(0.484738\pi\) | |||||||
\(770\) | −49.7087 | − | 15.8523i | −1.79138 | − | 0.571277i | ||||
\(771\) | 17.8818 | − | 9.08445i | 0.643999 | − | 0.327168i | ||||
\(772\) | 51.7766 | − | 48.0417i | 1.86348 | − | 1.72906i | ||||
\(773\) | −2.55637 | + | 6.51352i | −0.0919462 | + | 0.234275i | −0.969447 | − | 0.245299i | \(-0.921114\pi\) |
0.877501 | + | 0.479575i | \(0.159209\pi\) | |||||||
\(774\) | −4.07960 | − | 4.69198i | −0.146638 | − | 0.168650i | ||||
\(775\) | −3.41251 | − | 8.69493i | −0.122581 | − | 0.312331i | ||||
\(776\) | 5.97498 | − | 79.7306i | 0.214489 | − | 2.86216i | ||||
\(777\) | 8.59152 | − | 4.26242i | 0.308219 | − | 0.152914i | ||||
\(778\) | −7.52531 | − | 100.418i | −0.269796 | − | 3.60017i | ||||
\(779\) | 24.8150 | − | 11.9503i | 0.889090 | − | 0.428163i | ||||
\(780\) | 22.4777 | + | 10.2422i | 0.804830 | + | 0.366728i | ||||
\(781\) | 22.5177 | − | 10.8440i | 0.805747 | − | 0.388027i | ||||
\(782\) | −49.6167 | + | 7.47851i | −1.77429 | + | 0.267431i | ||||
\(783\) | 20.7387 | + | 44.3107i | 0.741142 | + | 1.58353i | ||||
\(784\) | −94.2141 | − | 47.5991i | −3.36479 | − | 1.69997i | ||||
\(785\) | −0.819898 | + | 1.42010i | −0.0292634 | + | 0.0506857i | ||||
\(786\) | 58.4159 | + | 38.0347i | 2.08363 | + | 1.35665i | ||||
\(787\) | −2.29791 | + | 30.6635i | −0.0819117 | + | 1.09304i | 0.793151 | + | 0.609025i | \(0.208439\pi\) |
−0.875062 | + | 0.484010i | \(0.839180\pi\) | |||||||
\(788\) | −17.0920 | − | 15.8591i | −0.608877 | − | 0.564956i | ||||
\(789\) | −4.79071 | − | 19.1084i | −0.170554 | − | 0.680278i | ||||
\(790\) | −16.0413 | + | 10.9368i | −0.570723 | + | 0.389113i | ||||
\(791\) | 13.7328 | + | 35.9934i | 0.488284 | + | 1.27978i | ||||
\(792\) | −82.4584 | + | 3.50643i | −2.93003 | + | 0.124595i | ||||
\(793\) | 0.943738 | + | 2.40461i | 0.0335131 | + | 0.0853900i | ||||
\(794\) | 55.0312 | + | 26.5016i | 1.95298 | + | 0.940507i | ||||
\(795\) | −34.3243 | − | 22.3486i | −1.21736 | − | 0.792625i | ||||
\(796\) | 13.7538 | + | 60.2594i | 0.487491 | + | 2.13584i | ||||
\(797\) | −15.7591 | + | 40.1536i | −0.558217 | + | 1.42231i | 0.321543 | + | 0.946895i | \(0.395799\pi\) |
−0.879760 | + | 0.475418i | \(0.842297\pi\) | |||||||
\(798\) | 51.2045 | + | 7.10409i | 1.81262 | + | 0.251482i | ||||
\(799\) | −2.67223 | − | 6.80872i | −0.0945366 | − | 0.240875i | ||||
\(800\) | 22.4945 | − | 15.3365i | 0.795302 | − | 0.542228i | ||||
\(801\) | −23.4965 | − | 20.0127i | −0.830206 | − | 0.707115i | ||||
\(802\) | −35.7080 | − | 61.8481i | −1.26089 | − | 2.18393i | ||||
\(803\) | 3.70859 | + | 6.42347i | 0.130873 | + | 0.226679i | ||||
\(804\) | 5.95571 | + | 9.82727i | 0.210042 | + | 0.346581i | ||||
\(805\) | 31.4252 | − | 28.6071i | 1.10759 | − | 1.00827i | ||||
\(806\) | −20.7599 | + | 6.40359i | −0.731238 | + | 0.225557i | ||||
\(807\) | 1.51585 | + | 15.7335i | 0.0533604 | + | 0.553846i | ||||
\(808\) | −29.0749 | + | 36.4588i | −1.02285 | + | 1.28261i | ||||
\(809\) | −7.16391 | − | 1.07979i | −0.251870 | − | 0.0379632i | 0.0218938 | − | 0.999760i | \(-0.493030\pi\) |
−0.273763 | + | 0.961797i | \(0.588269\pi\) | |||||||
\(810\) | −53.5048 | − | 30.1678i | −1.87997 | − | 1.05999i | ||||
\(811\) | 11.1691 | − | 48.9351i | 0.392201 | − | 1.71834i | −0.264668 | − | 0.964340i | \(-0.585262\pi\) |
0.656869 | − | 0.754005i | \(-0.271881\pi\) | |||||||
\(812\) | 69.3892 | − | 117.589i | 2.43508 | − | 4.12656i | ||||
\(813\) | 6.94482 | − | 12.6417i | 0.243566 | − | 0.443365i | ||||
\(814\) | −16.5403 | −0.579739 | ||||||||
\(815\) | −27.7306 | + | 48.0308i | −0.971361 | + | 1.68245i | ||||
\(816\) | 35.8400 | − | 65.2398i | 1.25465 | − | 2.28385i | ||||
\(817\) | −0.233545 | − | 3.11645i | −0.00817072 | − | 0.109031i | ||||
\(818\) | 38.7065 | − | 48.5364i | 1.35334 | − | 1.69704i | ||||
\(819\) | −6.68098 | + | 4.88542i | −0.233452 | + | 0.170710i | ||||
\(820\) | 56.9440 | + | 71.4056i | 1.98857 | + | 2.49359i | ||||
\(821\) | 25.6423 | − | 23.7926i | 0.894923 | − | 0.830367i | −0.0912940 | − | 0.995824i | \(-0.529100\pi\) |
0.986217 | + | 0.165457i | \(0.0529098\pi\) | |||||||
\(822\) | −18.6328 | − | 12.1319i | −0.649894 | − | 0.423147i | ||||
\(823\) | −0.0391565 | + | 0.0266965i | −0.00136491 | + | 0.000930581i | −0.564002 | − | 0.825773i | \(-0.690739\pi\) |
0.562637 | + | 0.826704i | \(0.309787\pi\) | |||||||
\(824\) | −47.1556 | + | 59.1312i | −1.64274 | + | 2.05993i | ||||
\(825\) | 1.49244 | + | 5.95281i | 0.0519601 | + | 0.207250i | ||||
\(826\) | −74.8278 | + | 68.1174i | −2.60359 | + | 2.37011i | ||||
\(827\) | 15.7017 | + | 7.56152i | 0.546000 | + | 0.262940i | 0.686486 | − | 0.727143i | \(-0.259152\pi\) |
−0.140486 | + | 0.990083i | \(0.544866\pi\) | |||||||
\(828\) | 48.9800 | − | 93.8294i | 1.70217 | − | 3.26080i | ||||
\(829\) | 21.0650 | − | 6.49768i | 0.731617 | − | 0.225674i | 0.0935063 | − | 0.995619i | \(-0.470192\pi\) |
0.638110 | + | 0.769945i | \(0.279716\pi\) | |||||||
\(830\) | 7.46923 | − | 3.59699i | 0.259261 | − | 0.124853i | ||||
\(831\) | −33.6825 | + | 17.1116i | −1.16843 | + | 0.593594i | ||||
\(832\) | −15.9372 | − | 27.6040i | −0.552521 | − | 0.956995i | ||||
\(833\) | 4.06857 | + | 19.5305i | 0.140968 | + | 0.676691i | ||||
\(834\) | 15.1204 | + | 13.4433i | 0.523578 | + | 0.465503i | ||||
\(835\) | 10.2315 | − | 26.0694i | 0.354075 | − | 0.902168i | ||||
\(836\) | −53.9692 | − | 36.7956i | −1.86656 | − | 1.27260i | ||||
\(837\) | 38.6830 | − | 8.38043i | 1.33708 | − | 0.289670i | ||||
\(838\) | 0.118891 | − | 1.58649i | 0.00410702 | − | 0.0548044i | ||||
\(839\) | −5.04455 | + | 3.43932i | −0.174157 | + | 0.118738i | −0.647261 | − | 0.762268i | \(-0.724086\pi\) |
0.473104 | + | 0.881007i | \(0.343133\pi\) | |||||||
\(840\) | 9.40981 | + | 108.462i | 0.324669 | + | 3.74230i | ||||
\(841\) | 49.2846 | + | 33.6017i | 1.69947 | + | 1.15868i | ||||
\(842\) | 3.35919 | − | 4.21229i | 0.115765 | − | 0.145165i | ||||
\(843\) | −7.16379 | − | 17.1710i | −0.246734 | − | 0.591401i | ||||
\(844\) | 72.0534 | + | 90.3522i | 2.48018 | + | 3.11005i | ||||
\(845\) | 28.4044 | + | 8.76159i | 0.977140 | + | 0.301408i | ||||
\(846\) | 20.3689 | + | 5.34668i | 0.700296 | + | 0.183823i | ||||
\(847\) | 6.72117 | − | 2.00342i | 0.230942 | − | 0.0688382i | ||||
\(848\) | 52.2101 | + | 133.029i | 1.79290 | + | 4.56824i | ||||
\(849\) | −4.50775 | − | 10.8047i | −0.154706 | − | 0.370816i | ||||
\(850\) | −9.13398 | − | 2.81746i | −0.313293 | − | 0.0966381i | ||||
\(851\) | 6.73595 | − | 11.6670i | 0.230905 | − | 0.399940i | ||||
\(852\) | −61.3663 | − | 54.5596i | −2.10238 | − | 1.86918i | ||||
\(853\) | 18.3786 | + | 5.66903i | 0.629270 | + | 0.194104i | 0.592954 | − | 0.805236i | \(-0.297962\pi\) |
0.0363157 | + | 0.999340i | \(0.488438\pi\) | |||||||
\(854\) | −11.3098 | + | 13.9087i | −0.387014 | + | 0.475945i | ||||
\(855\) | −12.4904 | − | 28.2346i | −0.427162 | − | 0.965604i | ||||
\(856\) | −52.5790 | − | 48.7862i | −1.79711 | − | 1.66748i | ||||
\(857\) | −28.0111 | + | 35.1248i | −0.956840 | + | 1.19984i | 0.0229345 | + | 0.999737i | \(0.492699\pi\) |
−0.979775 | + | 0.200103i | \(0.935872\pi\) | |||||||
\(858\) | 14.0662 | − | 2.42685i | 0.480212 | − | 0.0828513i | ||||
\(859\) | −8.70774 | + | 38.1511i | −0.297104 | + | 1.30170i | 0.577313 | + | 0.816523i | \(0.304101\pi\) |
−0.874417 | + | 0.485176i | \(0.838756\pi\) | |||||||
\(860\) | 9.90271 | − | 3.05458i | 0.337680 | − | 0.104160i | ||||
\(861\) | −30.2050 | + | 4.91599i | −1.02938 | + | 0.167537i | ||||
\(862\) | −0.301923 | − | 0.0931310i | −0.0102835 | − | 0.00317205i | ||||
\(863\) | 10.0187 | − | 17.3528i | 0.341040 | − | 0.590698i | −0.643586 | − | 0.765373i | \(-0.722554\pi\) |
0.984626 | + | 0.174676i | \(0.0558877\pi\) | |||||||
\(864\) | 48.9034 | + | 104.488i | 1.66373 | + | 3.55475i | ||||
\(865\) | 12.8496 | − | 11.9227i | 0.436900 | − | 0.405384i | ||||
\(866\) | 7.02845 | + | 93.7881i | 0.238836 | + | 3.18705i | ||||
\(867\) | 15.1527 | − | 2.61431i | 0.514614 | − | 0.0887867i | ||||
\(868\) | −80.2553 | − | 75.8988i | −2.72404 | − | 2.57617i | ||||
\(869\) | −3.00304 | + | 7.65162i | −0.101871 | + | 0.259563i | ||||
\(870\) | −111.274 | + | 2.36481i | −3.77254 | + | 0.0801747i | ||||
\(871\) | −0.786964 | − | 0.986822i | −0.0266653 | − | 0.0334372i | ||||
\(872\) | 9.40251 | + | 125.468i | 0.318409 | + | 4.24887i | ||||
\(873\) | 0.813636 | − | 25.1798i | 0.0275374 | − | 0.852206i | ||||
\(874\) | 65.4235 | − | 31.5063i | 2.21298 | − | 1.06572i | ||||
\(875\) | −23.8755 | + | 7.11670i | −0.807139 | + | 0.240588i | ||||
\(876\) | 14.7856 | − | 19.3710i | 0.499558 | − | 0.654484i | ||||
\(877\) | −20.7881 | + | 10.0110i | −0.701963 | + | 0.338048i | −0.750589 | − | 0.660769i | \(-0.770230\pi\) |
0.0486258 | + | 0.998817i | \(0.484516\pi\) | |||||||
\(878\) | −45.5221 | − | 42.2383i | −1.53630 | − | 1.42547i | ||||
\(879\) | −21.1699 | + | 20.4969i | −0.714042 | + | 0.691342i | ||||
\(880\) | 39.7207 | − | 101.207i | 1.33898 | − | 3.41167i | ||||
\(881\) | −15.5005 | −0.522225 | −0.261112 | − | 0.965308i | \(-0.584089\pi\) | ||||
−0.261112 | + | 0.965308i | \(0.584089\pi\) | |||||||
\(882\) | −52.3207 | − | 23.6996i | −1.76173 | − | 0.798006i | ||||
\(883\) | −13.4662 | −0.453173 | −0.226586 | − | 0.973991i | \(-0.572757\pi\) | ||||
−0.226586 | + | 0.973991i | \(0.572757\pi\) | |||||||
\(884\) | −5.95089 | + | 15.1626i | −0.200150 | + | 0.509974i | ||||
\(885\) | 58.1140 | + | 16.5820i | 1.95348 | + | 0.557399i | ||||
\(886\) | 54.9829 | + | 51.0166i | 1.84719 | + | 1.71394i | ||||
\(887\) | 34.5378 | − | 16.6325i | 1.15967 | − | 0.558465i | 0.247742 | − | 0.968826i | \(-0.420312\pi\) |
0.911923 | + | 0.410361i | \(0.134597\pi\) | |||||||
\(888\) | 13.2889 | + | 31.8524i | 0.445947 | + | 1.06890i | ||||
\(889\) | −14.0901 | + | 12.8266i | −0.472568 | + | 0.430190i | ||||
\(890\) | 63.2609 | − | 30.4648i | 2.12051 | − | 1.02118i | ||||
\(891\) | −25.9116 | + | 2.20770i | −0.868071 | + | 0.0739607i | ||||
\(892\) | −4.58541 | − | 61.1880i | −0.153531 | − | 2.04873i | ||||
\(893\) | 6.59968 | + | 8.27574i | 0.220850 | + | 0.276937i | ||||
\(894\) | −43.8552 | − | 72.3637i | −1.46674 | − | 2.42021i | ||||
\(895\) | 11.6681 | − | 29.7297i | 0.390020 | − | 0.993755i | ||||
\(896\) | 52.7105 | − | 89.3248i | 1.76093 | − | 2.98413i | ||||
\(897\) | −4.01655 | + | 10.9102i | −0.134109 | + | 0.364279i | ||||
\(898\) | 3.77094 | + | 50.3196i | 0.125838 | + | 1.67919i | ||||
\(899\) | 52.5740 | − | 48.7815i | 1.75344 | − | 1.62696i | ||||
\(900\) | 16.1620 | − | 12.0558i | 0.538732 | − | 0.401861i | ||||
\(901\) | 13.5046 | − | 23.3907i | 0.449905 | − | 0.779258i | ||||
\(902\) | 50.4326 | + | 15.5564i | 1.67922 | + | 0.517972i | ||||
\(903\) | −0.732881 | + | 3.39416i | −0.0243887 | + | 0.112950i | ||||
\(904\) | −132.475 | + | 40.8630i | −4.40604 | + | 1.35908i | ||||
\(905\) | 4.98732 | − | 21.8509i | 0.165784 | − | 0.726348i | ||||
\(906\) | 11.4246 | − | 31.0326i | 0.379557 | − | 1.03099i | ||||
\(907\) | −18.6699 | + | 23.4113i | −0.619922 | + | 0.777358i | −0.988334 | − | 0.152305i | \(-0.951330\pi\) |
0.368411 | + | 0.929663i | \(0.379902\pi\) | |||||||
\(908\) | 104.210 | + | 96.6925i | 3.45832 | + | 3.20885i | ||||
\(909\) | −8.66493 | + | 11.8667i | −0.287398 | + | 0.393594i | ||||
\(910\) | −4.01509 | − | 18.3959i | −0.133099 | − | 0.609817i | ||||
\(911\) | −4.47969 | − | 1.38180i | −0.148419 | − | 0.0457811i | 0.219656 | − | 0.975577i | \(-0.429507\pi\) |
−0.368074 | + | 0.929796i | \(0.619983\pi\) | |||||||
\(912\) | −21.7334 | + | 105.506i | −0.719666 | + | 3.49366i | ||||
\(913\) | 1.75495 | − | 3.03967i | 0.0580805 | − | 0.100598i | ||||
\(914\) | −68.4646 | − | 21.1185i | −2.26461 | − | 0.698539i | ||||
\(915\) | 10.6183 | + | 1.37040i | 0.351031 | + | 0.0453041i | ||||
\(916\) | 5.68443 | + | 14.4837i | 0.187819 | + | 0.478555i | ||||
\(917\) | −2.53997 | − | 38.8471i | −0.0838772 | − | 1.28284i | ||||
\(918\) | 17.9764 | − | 36.2967i | 0.593311 | − | 1.19797i | ||||
\(919\) | 14.0939 | + | 4.34738i | 0.464913 | + | 0.143407i | 0.518357 | − | 0.855164i | \(-0.326544\pi\) |
−0.0534441 | + | 0.998571i | \(0.517020\pi\) | |||||||
\(920\) | 95.3482 | + | 119.563i | 3.14354 | + | 3.94187i | ||||
\(921\) | −17.7564 | + | 23.2632i | −0.585095 | + | 0.766548i | ||||
\(922\) | −31.9811 | + | 40.1030i | −1.05324 | + | 1.32072i | ||||
\(923\) | 7.45216 | + | 5.08079i | 0.245291 | + | 0.167236i | ||||
\(924\) | 45.9133 | + | 56.2069i | 1.51044 | + | 1.84907i | ||||
\(925\) | 2.12044 | − | 1.44569i | 0.0697195 | − | 0.0475339i | ||||
\(926\) | 2.70074 | − | 36.0389i | 0.0887519 | − | 1.18431i | ||||
\(927\) | −14.0533 | + | 19.2462i | −0.461572 | + | 0.632128i | ||||
\(928\) | 172.718 | + | 117.757i | 5.66975 | + | 3.86557i | ||||
\(929\) | 0.599325 | − | 1.52705i | 0.0196632 | − | 0.0501010i | −0.920705 | − | 0.390259i | \(-0.872385\pi\) |
0.940368 | + | 0.340158i | \(0.110481\pi\) | |||||||
\(930\) | −18.1668 | + | 88.1917i | −0.595713 | + | 2.89192i | ||||
\(931\) | −13.9572 | − | 25.2727i | −0.457430 | − | 0.828279i | ||||
\(932\) | 14.1448 | + | 24.4995i | 0.463328 | + | 0.802507i | ||||
\(933\) | −0.361613 | + | 6.74624i | −0.0118387 | + | 0.220862i | ||||
\(934\) | 10.9024 | − | 5.25030i | 0.356736 | − | 0.171795i | ||||
\(935\) | −19.6353 | + | 6.05670i | −0.642145 | + | 0.198075i | ||||
\(936\) | −15.9746 | − | 25.1381i | −0.522147 | − | 0.821664i | ||||
\(937\) | 25.2492 | + | 12.1594i | 0.824855 | + | 0.397229i | 0.798183 | − | 0.602415i | \(-0.205795\pi\) |
0.0266721 | + | 0.999644i | \(0.491509\pi\) | |||||||
\(938\) | 3.27753 | − | 8.12303i | 0.107015 | − | 0.265226i | ||||
\(939\) | 5.15226 | − | 4.98847i | 0.168138 | − | 0.162792i | ||||
\(940\) | −21.8845 | + | 27.4423i | −0.713795 | + | 0.895070i | ||||
\(941\) | −46.6558 | + | 31.8094i | −1.52093 | + | 1.03696i | −0.540216 | + | 0.841526i | \(0.681658\pi\) |
−0.980718 | + | 0.195429i | \(0.937390\pi\) | |||||||
\(942\) | 2.77563 | − | 1.41009i | 0.0904348 | − | 0.0459432i | ||||
\(943\) | −31.5113 | + | 29.2382i | −1.02615 | + | 0.952128i | ||||
\(944\) | −131.467 | − | 164.854i | −4.27888 | − | 5.36555i | ||||
\(945\) | 4.41423 | + | 34.0187i | 0.143595 | + | 1.10663i | ||||
\(946\) | 3.73378 | − | 4.68201i | 0.121396 | − | 0.152225i | ||||
\(947\) | −2.64397 | − | 35.2813i | −0.0859174 | − | 1.14649i | −0.858929 | − | 0.512095i | \(-0.828869\pi\) |
0.773011 | − | 0.634392i | \(-0.218750\pi\) | |||||||
\(948\) | 27.0000 | − | 0.573808i | 0.876918 | − | 0.0186364i | ||||
\(949\) | −1.33835 | + | 2.31810i | −0.0434448 | + | 0.0752486i | ||||
\(950\) | 13.8330 | 0.448800 | ||||||||
\(951\) | 21.7949 | + | 35.9629i | 0.706749 | + | 1.16618i | ||||
\(952\) | −71.0881 | + | 10.0245i | −2.30398 | + | 0.324894i | ||||
\(953\) | 12.8206 | − | 56.1708i | 0.415300 | − | 1.81955i | −0.142770 | − | 0.989756i | \(-0.545601\pi\) |
0.558070 | − | 0.829794i | \(-0.311542\pi\) | |||||||
\(954\) | 31.4599 | + | 71.1154i | 1.01855 | + | 2.30245i | ||||
\(955\) | −10.4763 | − | 1.57904i | −0.339004 | − | 0.0510966i | ||||
\(956\) | −21.8070 | + | 27.3452i | −0.705290 | + | 0.884405i | ||||
\(957\) | −38.3609 | + | 27.3658i | −1.24003 | + | 0.884611i | ||||
\(958\) | 9.46418 | − | 2.91931i | 0.305774 | − | 0.0943187i | ||||
\(959\) | 0.810169 | + | 12.3910i | 0.0261617 | + | 0.400125i | ||||
\(960\) | −132.079 | + | 2.80696i | −4.26282 | + | 0.0905942i | ||||
\(961\) | −13.5113 | − | 23.4022i | −0.435848 | − | 0.754911i | ||||
\(962\) | −2.98453 | − | 5.16936i | −0.0962252 | − | 0.166667i | ||||
\(963\) | −17.2053 | − | 14.6544i | −0.554435 | − | 0.472231i | ||||
\(964\) | −5.05114 | + | 3.44381i | −0.162686 | + | 0.110918i | ||||
\(965\) | 11.7476 | + | 29.9325i | 0.378170 | + | 0.963561i | ||||
\(966\) | −79.6340 | + | 12.9608i | −2.56218 | + | 0.417006i | ||||
\(967\) | 14.6002 | − | 37.2008i | 0.469512 | − | 1.19630i | −0.478507 | − | 0.878084i | \(-0.658822\pi\) |
0.948019 | − | 0.318213i | \(-0.103083\pi\) | |||||||
\(968\) | 5.61609 | + | 24.6057i | 0.180508 | + | 0.790858i | ||||
\(969\) | 18.1511 | − | 9.22123i | 0.583097 | − | 0.296229i | ||||
\(970\) | 51.6369 | + | 24.8670i | 1.65796 | + | 0.798431i | ||||
\(971\) | −3.34951 | − | 8.53441i | −0.107491 | − | 0.273882i | 0.867000 | − | 0.498307i | \(-0.166045\pi\) |
−0.974491 | + | 0.224425i | \(0.927950\pi\) | |||||||
\(972\) | 39.4731 | + | 75.7755i | 1.26610 | + | 2.43050i | ||||
\(973\) | 0.951510 | − | 11.2593i | 0.0305040 | − | 0.360956i | ||||
\(974\) | 48.1185 | − | 32.8066i | 1.54182 | − | 1.05119i | ||||
\(975\) | −1.59114 | + | 1.54056i | −0.0509573 | + | 0.0493373i | ||||
\(976\) | −27.3834 | − | 25.4080i | −0.876520 | − | 0.813292i | ||||
\(977\) | 3.34724 | − | 44.6658i | 0.107088 | − | 1.42899i | −0.642096 | − | 0.766624i | \(-0.721935\pi\) |
0.749184 | − | 0.662362i | \(-0.230446\pi\) | |||||||
\(978\) | 93.8774 | − | 47.6922i | 3.00187 | − | 1.52503i | ||||
\(979\) | 14.8636 | − | 25.7445i | 0.475043 | − | 0.822799i | ||||
\(980\) | 71.4044 | − | 63.7700i | 2.28093 | − | 2.03706i | ||||
\(981\) | 4.63958 | + | 39.3723i | 0.148130 | + | 1.25706i | ||||
\(982\) | 20.4178 | − | 3.07749i | 0.651560 | − | 0.0982068i | ||||
\(983\) | −1.68549 | + | 0.811689i | −0.0537588 | + | 0.0258889i | −0.460570 | − | 0.887623i | \(-0.652355\pi\) |
0.406811 | + | 0.913512i | \(0.366641\pi\) | |||||||
\(984\) | −10.5612 | − | 109.619i | −0.336680 | − | 3.49451i | ||||
\(985\) | 9.56360 | − | 4.60559i | 0.304722 | − | 0.146746i | ||||
\(986\) | −5.48470 | − | 73.1882i | −0.174668 | − | 2.33079i | ||||
\(987\) | −4.42501 | − | 10.8968i | −0.140850 | − | 0.346850i | ||||
\(988\) | 1.76156 | − | 23.5064i | 0.0560427 | − | 0.747838i | ||||
\(989\) | 1.78198 | + | 4.54040i | 0.0566635 | + | 0.144376i | ||||
\(990\) | 19.2547 | − | 55.9401i | 0.611956 | − | 1.77789i | ||||
\(991\) | 0.0250601 | − | 0.0638521i | 0.000796060 | − | 0.00202833i | −0.930475 | − | 0.366355i | \(-0.880606\pi\) |
0.931271 | + | 0.364327i | \(0.118701\pi\) | |||||||
\(992\) | 123.973 | − | 115.030i | 3.93615 | − | 3.65222i | ||||
\(993\) | 36.6275 | + | 23.8483i | 1.16234 | + | 0.756802i | ||||
\(994\) | −5.27083 | + | 62.3700i | −0.167181 | + | 1.97826i | ||||
\(995\) | −27.8245 | − | 4.19387i | −0.882096 | − | 0.132955i | ||||
\(996\) | −11.4369 | − | 1.47604i | −0.362391 | − | 0.0467702i | ||||
\(997\) | −13.1767 | − | 57.7310i | −0.417311 | − | 1.82836i | −0.547420 | − | 0.836858i | \(-0.684390\pi\) |
0.130109 | − | 0.991500i | \(-0.458467\pi\) | |||||||
\(998\) | −22.7285 | − | 39.3670i | −0.719459 | − | 1.24614i | ||||
\(999\) | 4.60985 | + | 9.84948i | 0.145849 | + | 0.311624i |
(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 | 441.2.z.a.142.53 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.53 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.53 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.53 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.53 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.53 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.53 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.53 | yes | 648 | 441.382 | even | 21 | inner |