Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [381,2,Mod(14,381)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(381, base_ring=CyclotomicField(126))
chi = DirichletCharacter(H, H._module([63, 61]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("381.14");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 381 = 3 \cdot 127 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 381.x (of order \(126\), degree \(36\), 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: | \(3.04230031701\) |
Analytic rank: | \(0\) |
Dimension: | \(1440\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{126})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{126}]$ |
Embedding invariants
Embedding label | 14.7 | ||
Character | \(\chi\) | \(=\) | 381.14 |
Dual form | 381.2.x.b.245.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/381\mathbb{Z}\right)^\times\).
\(n\) | \(128\) | \(130\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{61}{126}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.921731 | − | 1.91399i | −0.651762 | − | 1.35340i | −0.920712 | − | 0.390244i | \(-0.872391\pi\) |
0.268949 | − | 0.963154i | \(-0.413324\pi\) | |||||||
\(3\) | −1.02218 | − | 1.39826i | −0.590158 | − | 0.807288i | ||||
\(4\) | −1.56681 | + | 1.96471i | −0.783403 | + | 0.982356i | ||||
\(5\) | 0.361993 | − | 0.922343i | 0.161888 | − | 0.412485i | −0.826795 | − | 0.562504i | \(-0.809838\pi\) |
0.988683 | + | 0.150019i | \(0.0479335\pi\) | |||||||
\(6\) | −1.73409 | + | 3.24528i | −0.707939 | + | 1.32488i | ||||
\(7\) | 2.39642 | − | 3.92156i | 0.905760 | − | 1.48221i | 0.0299527 | − | 0.999551i | \(-0.490464\pi\) |
0.875808 | − | 0.482660i | \(-0.160329\pi\) | |||||||
\(8\) | 1.06240 | + | 0.242486i | 0.375615 | + | 0.0857317i | ||||
\(9\) | −0.910283 | + | 2.85856i | −0.303428 | + | 0.952854i | ||||
\(10\) | −2.09902 | + | 0.157300i | −0.663768 | + | 0.0497426i | ||||
\(11\) | −1.28161 | − | 5.03319i | −0.386419 | − | 1.51756i | −0.796004 | − | 0.605292i | \(-0.793056\pi\) |
0.409584 | − | 0.912272i | \(-0.365674\pi\) | |||||||
\(12\) | 4.34875 | + | 0.182512i | 1.25538 | + | 0.0526866i | ||||
\(13\) | 0.0202101 | − | 0.810401i | 0.00560528 | − | 0.224765i | −0.990550 | − | 0.137155i | \(-0.956204\pi\) |
0.996155 | − | 0.0876097i | \(-0.0279228\pi\) | |||||||
\(14\) | −9.71470 | − | 0.972102i | −2.59636 | − | 0.259805i | ||||
\(15\) | −1.65970 | + | 0.436642i | −0.428533 | + | 0.112741i | ||||
\(16\) | 0.603243 | + | 2.64298i | 0.150811 | + | 0.660745i | ||||
\(17\) | −2.39567 | + | 0.804903i | −0.581036 | + | 0.195218i | −0.593678 | − | 0.804702i | \(-0.702325\pi\) |
0.0126424 | + | 0.999920i | \(0.495976\pi\) | |||||||
\(18\) | 6.31031 | − | 0.892551i | 1.48735 | − | 0.210376i | ||||
\(19\) | −0.894427 | + | 1.54919i | −0.205196 | + | 0.355409i | −0.950195 | − | 0.311656i | \(-0.899116\pi\) |
0.744999 | + | 0.667065i | \(0.232450\pi\) | |||||||
\(20\) | 1.24497 | + | 2.15635i | 0.278383 | + | 0.482173i | ||||
\(21\) | −7.93296 | + | 0.657733i | −1.73111 | + | 0.143529i | ||||
\(22\) | −8.45220 | + | 7.09224i | −1.80202 | + | 1.51207i | ||||
\(23\) | 4.33357 | + | 1.10346i | 0.903612 | + | 0.230088i | 0.670104 | − | 0.742267i | \(-0.266249\pi\) |
0.233508 | + | 0.972355i | \(0.424980\pi\) | |||||||
\(24\) | −0.746908 | − | 1.73338i | −0.152462 | − | 0.353825i | ||||
\(25\) | 2.94558 | + | 2.73310i | 0.589116 | + | 0.546620i | ||||
\(26\) | −1.56973 | + | 0.708290i | −0.307850 | + | 0.138907i | ||||
\(27\) | 4.92750 | − | 1.64916i | 0.948298 | − | 0.317381i | ||||
\(28\) | 3.95002 | + | 10.8526i | 0.746484 | + | 2.05095i | ||||
\(29\) | 6.00618 | + | 4.54950i | 1.11532 | + | 0.844822i | 0.989109 | − | 0.147182i | \(-0.0470203\pi\) |
0.126210 | + | 0.992004i | \(0.459719\pi\) | |||||||
\(30\) | 2.36553 | + | 2.77419i | 0.431885 | + | 0.506496i | ||||
\(31\) | −5.55382 | − | 6.29325i | −0.997496 | − | 1.13030i | −0.991472 | − | 0.130318i | \(-0.958400\pi\) |
−0.00602365 | − | 0.999982i | \(-0.501917\pi\) | |||||||
\(32\) | 6.20658 | − | 4.94958i | 1.09718 | − | 0.874970i | ||||
\(33\) | −5.72769 | + | 6.93687i | −0.997063 | + | 1.20755i | ||||
\(34\) | 3.74875 | + | 3.84340i | 0.642905 | + | 0.659138i | ||||
\(35\) | −2.74954 | − | 3.62990i | −0.464757 | − | 0.613565i | ||||
\(36\) | −4.19002 | − | 6.26726i | −0.698336 | − | 1.04454i | ||||
\(37\) | 0.497179 | + | 2.81964i | 0.0817357 | + | 0.463546i | 0.998013 | + | 0.0630026i | \(0.0200677\pi\) |
−0.916278 | + | 0.400544i | \(0.868821\pi\) | |||||||
\(38\) | 3.78957 | + | 0.283989i | 0.614749 | + | 0.0460690i | ||||
\(39\) | −1.15381 | + | 0.800119i | −0.184758 | + | 0.128122i | ||||
\(40\) | 0.608236 | − | 0.892119i | 0.0961706 | − | 0.141056i | ||||
\(41\) | −3.79143 | − | 3.34596i | −0.592123 | − | 0.522551i | 0.311856 | − | 0.950129i | \(-0.399049\pi\) |
−0.903978 | + | 0.427578i | \(0.859367\pi\) | |||||||
\(42\) | 8.57095 | + | 14.5774i | 1.32253 | + | 2.24934i | ||||
\(43\) | 1.84762 | + | 4.38307i | 0.281759 | + | 0.668412i | 0.999614 | − | 0.0277809i | \(-0.00884408\pi\) |
−0.717855 | + | 0.696193i | \(0.754876\pi\) | |||||||
\(44\) | 11.8968 | + | 5.36804i | 1.79351 | + | 0.809263i | ||||
\(45\) | 2.30706 | + | 1.87437i | 0.343916 | + | 0.279415i | ||||
\(46\) | −1.88237 | − | 9.31152i | −0.277540 | − | 1.37291i | ||||
\(47\) | −0.280575 | + | 1.86149i | −0.0409261 | + | 0.271527i | −0.999930 | − | 0.0118675i | \(-0.996222\pi\) |
0.959004 | + | 0.283394i | \(0.0914605\pi\) | |||||||
\(48\) | 3.07896 | − | 3.54510i | 0.444409 | − | 0.511691i | ||||
\(49\) | −6.44236 | − | 12.5663i | −0.920338 | − | 1.79519i | ||||
\(50\) | 2.51610 | − | 8.15701i | 0.355831 | − | 1.15357i | ||||
\(51\) | 3.57428 | + | 2.52702i | 0.500500 | + | 0.353854i | ||||
\(52\) | 1.56054 | + | 1.30945i | 0.216408 | + | 0.181588i | ||||
\(53\) | 0.790999 | + | 1.10021i | 0.108652 | + | 0.151126i | 0.862740 | − | 0.505647i | \(-0.168746\pi\) |
−0.754088 | + | 0.656773i | \(0.771921\pi\) | |||||||
\(54\) | −7.69831 | − | 7.91113i | −1.04761 | − | 1.07657i | ||||
\(55\) | −5.10626 | − | 0.639898i | −0.688529 | − | 0.0862838i | ||||
\(56\) | 3.49687 | − | 3.58517i | 0.467290 | − | 0.479088i | ||||
\(57\) | 3.08045 | − | 0.332914i | 0.408015 | − | 0.0440956i | ||||
\(58\) | 3.17164 | − | 15.6892i | 0.416457 | − | 2.06009i | ||||
\(59\) | 8.89990 | + | 3.23930i | 1.15867 | + | 0.421721i | 0.848621 | − | 0.529001i | \(-0.177433\pi\) |
0.310047 | + | 0.950721i | \(0.399655\pi\) | |||||||
\(60\) | 1.74256 | − | 3.94497i | 0.224963 | − | 0.509294i | ||||
\(61\) | −9.12785 | + | 8.46941i | −1.16870 | + | 1.08440i | −0.173673 | + | 0.984803i | \(0.555564\pi\) |
−0.995028 | + | 0.0995929i | \(0.968246\pi\) | |||||||
\(62\) | −6.92610 | + | 16.4307i | −0.879616 | + | 2.08670i | ||||
\(63\) | 9.02862 | + | 10.4200i | 1.13750 | + | 1.31280i | ||||
\(64\) | −10.3093 | − | 4.96470i | −1.28866 | − | 0.620587i | ||||
\(65\) | −0.740152 | − | 0.312000i | −0.0918046 | − | 0.0386989i | ||||
\(66\) | 18.5565 | + | 4.56884i | 2.28415 | + | 0.562385i | ||||
\(67\) | −5.81919 | + | 3.75843i | −0.710927 | + | 0.459166i | −0.847041 | − | 0.531528i | \(-0.821618\pi\) |
0.136114 | + | 0.990693i | \(0.456539\pi\) | |||||||
\(68\) | 2.17215 | − | 5.96794i | 0.263412 | − | 0.723718i | ||||
\(69\) | −2.88677 | − | 7.18742i | −0.347526 | − | 0.865263i | ||||
\(70\) | −4.41327 | + | 8.60840i | −0.527486 | + | 1.02890i | ||||
\(71\) | −6.77885 | − | 6.61191i | −0.804502 | − | 0.784689i | 0.175331 | − | 0.984510i | \(-0.443901\pi\) |
−0.979833 | + | 0.199821i | \(0.935964\pi\) | |||||||
\(72\) | −1.66024 | + | 2.81621i | −0.195662 | + | 0.331893i | ||||
\(73\) | 12.2075 | − | 8.32292i | 1.42878 | − | 0.974124i | 0.431369 | − | 0.902175i | \(-0.358031\pi\) |
0.997408 | − | 0.0719488i | \(-0.0229218\pi\) | |||||||
\(74\) | 4.93851 | − | 3.55055i | 0.574091 | − | 0.412743i | ||||
\(75\) | 0.810671 | − | 6.91243i | 0.0936082 | − | 0.798178i | ||||
\(76\) | −1.64232 | − | 4.18457i | −0.188388 | − | 0.480004i | ||||
\(77\) | −22.8092 | − | 7.03572i | −2.59935 | − | 0.801795i | ||||
\(78\) | 2.59493 | + | 1.47090i | 0.293818 | + | 0.166546i | ||||
\(79\) | −4.05368 | − | 14.4076i | −0.456075 | − | 1.62099i | −0.747409 | − | 0.664365i | \(-0.768702\pi\) |
0.291334 | − | 0.956621i | \(-0.405901\pi\) | |||||||
\(80\) | 2.65610 | + | 0.400343i | 0.296962 | + | 0.0447597i | ||||
\(81\) | −7.34277 | − | 5.20420i | −0.815863 | − | 0.578245i | ||||
\(82\) | −2.90947 | + | 10.3409i | −0.321297 | + | 1.14196i | ||||
\(83\) | −0.866461 | + | 1.92028i | −0.0951065 | + | 0.210778i | −0.952946 | − | 0.303140i | \(-0.901965\pi\) |
0.857840 | + | 0.513918i | \(0.171806\pi\) | |||||||
\(84\) | 11.1371 | − | 16.6165i | 1.21516 | − | 1.81301i | ||||
\(85\) | −0.124820 | + | 2.50100i | −0.0135386 | + | 0.271272i | ||||
\(86\) | 6.68616 | − | 7.57634i | 0.720988 | − | 0.816978i | ||||
\(87\) | 0.221990 | − | 13.0486i | 0.0237999 | − | 1.39896i | ||||
\(88\) | −0.141102 | − | 5.65803i | −0.0150416 | − | 0.603148i | ||||
\(89\) | −0.256507 | + | 3.42285i | −0.0271897 | + | 0.362821i | 0.966969 | + | 0.254894i | \(0.0820404\pi\) |
−0.994159 | + | 0.107927i | \(0.965579\pi\) | |||||||
\(90\) | 1.46105 | − | 6.14337i | 0.154008 | − | 0.647568i | ||||
\(91\) | −3.12961 | − | 2.02131i | −0.328072 | − | 0.211891i | ||||
\(92\) | −8.95785 | + | 6.78531i | −0.933920 | + | 0.707417i | ||||
\(93\) | −3.12259 | + | 14.1986i | −0.323798 | + | 1.47232i | ||||
\(94\) | 3.82150 | − | 1.17878i | 0.394158 | − | 0.121582i | ||||
\(95\) | 1.10511 | + | 1.38577i | 0.113382 | + | 0.142177i | ||||
\(96\) | −13.2651 | − | 3.61905i | −1.35386 | − | 0.369368i | ||||
\(97\) | 3.20624 | − | 0.401793i | 0.325544 | − | 0.0407959i | 0.0401127 | − | 0.999195i | \(-0.487228\pi\) |
0.285431 | + | 0.958399i | \(0.407863\pi\) | |||||||
\(98\) | −18.1137 | + | 23.9134i | −1.82976 | + | 2.41562i | ||||
\(99\) | 15.5543 | + | 0.918070i | 1.56327 | + | 0.0922695i | ||||
\(100\) | −9.98491 | + | 1.50498i | −0.998491 | + | 0.150498i | ||||
\(101\) | −4.12794 | − | 9.14847i | −0.410746 | − | 0.910306i | −0.995106 | − | 0.0988120i | \(-0.968496\pi\) |
0.584360 | − | 0.811494i | \(-0.301346\pi\) | |||||||
\(102\) | 1.54218 | − | 9.17040i | 0.152699 | − | 0.908004i | ||||
\(103\) | 1.20146 | − | 6.81385i | 0.118384 | − | 0.671388i | −0.866635 | − | 0.498942i | \(-0.833722\pi\) |
0.985019 | − | 0.172446i | \(-0.0551670\pi\) | |||||||
\(104\) | 0.217982 | − | 0.856069i | 0.0213749 | − | 0.0839445i | ||||
\(105\) | −2.26502 | + | 7.55500i | −0.221043 | + | 0.737293i | ||||
\(106\) | 1.37671 | − | 2.52807i | 0.133718 | − | 0.245548i | ||||
\(107\) | 8.48371 | − | 4.89807i | 0.820152 | − | 0.473515i | −0.0303172 | − | 0.999540i | \(-0.509652\pi\) |
0.850469 | + | 0.526026i | \(0.176318\pi\) | |||||||
\(108\) | −4.48031 | + | 12.2650i | −0.431118 | + | 1.18020i | ||||
\(109\) | −2.49575 | − | 4.08411i | −0.239049 | − | 0.391187i | 0.711047 | − | 0.703145i | \(-0.248221\pi\) |
−0.950096 | + | 0.311958i | \(0.899015\pi\) | |||||||
\(110\) | 3.48184 | + | 10.3632i | 0.331981 | + | 0.988090i | ||||
\(111\) | 3.43440 | − | 3.57738i | 0.325978 | − | 0.339550i | ||||
\(112\) | 11.8102 | + | 3.96803i | 1.11596 | + | 0.374943i | ||||
\(113\) | 1.48337 | − | 14.8240i | 0.139543 | − | 1.39452i | −0.640095 | − | 0.768295i | \(-0.721105\pi\) |
0.779639 | − | 0.626230i | \(-0.215403\pi\) | |||||||
\(114\) | −3.47654 | − | 5.58910i | −0.325608 | − | 0.523467i | ||||
\(115\) | 2.58649 | − | 3.59759i | 0.241192 | − | 0.335477i | ||||
\(116\) | −18.3490 | + | 4.67222i | −1.70366 | + | 0.433805i | ||||
\(117\) | 2.29819 | + | 0.795466i | 0.212467 | + | 0.0735409i | ||||
\(118\) | −2.00331 | − | 20.0201i | −0.184420 | − | 1.84300i | ||||
\(119\) | −2.58455 | + | 11.3237i | −0.236926 | + | 1.03804i | ||||
\(120\) | −1.86915 | + | 0.0614342i | −0.170629 | + | 0.00560815i | ||||
\(121\) | −14.0301 | + | 7.64036i | −1.27546 | + | 0.694578i | ||||
\(122\) | 24.6238 | + | 9.66413i | 2.22934 | + | 0.874950i | ||||
\(123\) | −0.802995 | + | 8.72161i | −0.0724036 | + | 0.786401i | ||||
\(124\) | 21.0662 | − | 1.05137i | 1.89180 | − | 0.0944157i | ||||
\(125\) | 8.05070 | − | 3.87701i | 0.720076 | − | 0.346771i | ||||
\(126\) | 11.6219 | − | 26.8852i | 1.03536 | − | 2.39512i | ||||
\(127\) | 10.7936 | − | 3.23996i | 0.957781 | − | 0.287500i | ||||
\(128\) | 8.43103i | 0.745205i | ||||||||
\(129\) | 4.24008 | − | 7.06376i | 0.373318 | − | 0.621929i | ||||
\(130\) | 0.0850544 | + | 1.70423i | 0.00745977 | + | 0.149471i | ||||
\(131\) | 10.3310 | + | 8.23867i | 0.902621 | + | 0.719816i | 0.960433 | − | 0.278512i | \(-0.0898410\pi\) |
−0.0578123 | + | 0.998327i | \(0.518412\pi\) | |||||||
\(132\) | −4.65477 | − | 22.1220i | −0.405146 | − | 1.92547i | ||||
\(133\) | 3.93184 | + | 7.22006i | 0.340933 | + | 0.626059i | ||||
\(134\) | 12.5573 | + | 7.67363i | 1.08479 | + | 0.662901i | ||||
\(135\) | 0.262629 | − | 5.14183i | 0.0226035 | − | 0.442539i | ||||
\(136\) | −2.74034 | + | 0.274212i | −0.234982 | + | 0.0235135i | ||||
\(137\) | −0.0814207 | − | 1.08648i | −0.00695624 | − | 0.0928246i | 0.992645 | − | 0.121061i | \(-0.0386298\pi\) |
−0.999601 | + | 0.0282368i | \(0.991011\pi\) | |||||||
\(138\) | −11.0958 | + | 12.1501i | −0.944541 | + | 1.03429i | ||||
\(139\) | 1.61086 | + | 1.15813i | 0.136631 | + | 0.0982313i | 0.649989 | − | 0.759943i | \(-0.274773\pi\) |
−0.513358 | + | 0.858175i | \(0.671599\pi\) | |||||||
\(140\) | 11.4397 | + | 0.285288i | 0.966831 | + | 0.0241113i | ||||
\(141\) | 2.88966 | − | 1.51047i | 0.243353 | − | 0.127204i | ||||
\(142\) | −6.40687 | + | 19.0691i | −0.537653 | + | 1.60024i | ||||
\(143\) | −4.10480 | + | 0.936895i | −0.343261 | + | 0.0783471i | ||||
\(144\) | −8.10425 | − | 0.681451i | −0.675354 | − | 0.0567876i | ||||
\(145\) | 6.37040 | − | 3.89287i | 0.529033 | − | 0.323285i | ||||
\(146\) | −27.1820 | − | 15.6936i | −2.24960 | − | 1.29881i | ||||
\(147\) | −10.9857 | + | 21.8532i | −0.906087 | + | 1.80242i | ||||
\(148\) | −6.31877 | − | 3.44102i | −0.519400 | − | 0.282850i | ||||
\(149\) | −0.657094 | − | 0.783094i | −0.0538312 | − | 0.0641535i | 0.738457 | − | 0.674301i | \(-0.235555\pi\) |
−0.792288 | + | 0.610147i | \(0.791110\pi\) | |||||||
\(150\) | −13.9776 | + | 4.81978i | −1.14126 | + | 0.393533i | ||||
\(151\) | 15.4445 | + | 2.72328i | 1.25686 | + | 0.221618i | 0.762126 | − | 0.647429i | \(-0.224156\pi\) |
0.494730 | + | 0.869047i | \(0.335267\pi\) | |||||||
\(152\) | −1.32590 | + | 1.42898i | −0.107544 | + | 0.115905i | ||||
\(153\) | −0.120127 | − | 7.58087i | −0.00971172 | − | 0.612877i | ||||
\(154\) | 7.55766 | + | 50.1418i | 0.609014 | + | 4.04054i | ||||
\(155\) | −7.81498 | + | 2.84442i | −0.627714 | + | 0.228469i | ||||
\(156\) | 0.235796 | − | 3.52054i | 0.0188788 | − | 0.281869i | ||||
\(157\) | −0.712761 | − | 5.68770i | −0.0568846 | − | 0.453928i | −0.994375 | − | 0.105917i | \(-0.966222\pi\) |
0.937490 | − | 0.348011i | \(-0.113143\pi\) | |||||||
\(158\) | −23.8397 | + | 21.0387i | −1.89659 | + | 1.67375i | ||||
\(159\) | 0.729842 | − | 2.23064i | 0.0578802 | − | 0.176902i | ||||
\(160\) | −2.31847 | − | 7.51631i | −0.183291 | − | 0.594216i | ||||
\(161\) | 14.7123 | − | 14.3500i | 1.15949 | − | 1.13094i | ||||
\(162\) | −3.19275 | + | 18.8509i | −0.250846 | + | 1.48107i | ||||
\(163\) | −13.3568 | + | 20.6803i | −1.04618 | + | 1.61981i | −0.300158 | + | 0.953889i | \(0.597039\pi\) |
−0.746025 | + | 0.665918i | \(0.768040\pi\) | |||||||
\(164\) | 12.5143 | − | 2.20661i | 0.977202 | − | 0.172307i | ||||
\(165\) | 4.32479 | + | 7.79400i | 0.336685 | + | 0.606762i | ||||
\(166\) | 4.47404 | − | 0.111576i | 0.347253 | − | 0.00865995i | ||||
\(167\) | −15.3375 | − | 10.4570i | −1.18685 | − | 0.809184i | −0.201464 | − | 0.979496i | \(-0.564570\pi\) |
−0.985390 | + | 0.170312i | \(0.945522\pi\) | |||||||
\(168\) | −8.58746 | − | 1.22485i | −0.662537 | − | 0.0944995i | ||||
\(169\) | 12.3275 | + | 0.615240i | 0.948269 | + | 0.0473261i | ||||
\(170\) | 4.90196 | − | 2.06635i | 0.375963 | − | 0.158482i | ||||
\(171\) | −3.61428 | − | 3.96698i | −0.276391 | − | 0.303362i | ||||
\(172\) | −11.5063 | − | 3.23738i | −0.877350 | − | 0.246848i | ||||
\(173\) | −12.8238 | + | 2.59240i | −0.974979 | + | 0.197096i | −0.659391 | − | 0.751800i | \(-0.729186\pi\) |
−0.315588 | + | 0.948896i | \(0.602202\pi\) | |||||||
\(174\) | −25.1796 | + | 11.6025i | −1.90886 | + | 0.879580i | ||||
\(175\) | 17.7769 | − | 5.00163i | 1.34380 | − | 0.378088i | ||||
\(176\) | 12.5295 | − | 6.42350i | 0.944447 | − | 0.484190i | ||||
\(177\) | −4.56793 | − | 15.7556i | −0.343347 | − | 1.18426i | ||||
\(178\) | 6.78774 | − | 2.66399i | 0.508762 | − | 0.199675i | ||||
\(179\) | −6.02547 | + | 7.18087i | −0.450365 | + | 0.536724i | −0.942682 | − | 0.333692i | \(-0.891705\pi\) |
0.492318 | + | 0.870416i | \(0.336150\pi\) | |||||||
\(180\) | −7.29732 | + | 1.59593i | −0.543910 | + | 0.118954i | ||||
\(181\) | −3.34492 | − | 4.90610i | −0.248626 | − | 0.364668i | 0.681556 | − | 0.731766i | \(-0.261304\pi\) |
−0.930182 | + | 0.367098i | \(0.880351\pi\) | |||||||
\(182\) | −0.984128 | + | 7.85316i | −0.0729484 | + | 0.582115i | ||||
\(183\) | 21.1728 | + | 4.10585i | 1.56514 | + | 0.303514i | ||||
\(184\) | 4.33641 | + | 2.22315i | 0.319684 | + | 0.163893i | ||||
\(185\) | 2.78065 | + | 0.562121i | 0.204438 | + | 0.0413280i | ||||
\(186\) | 30.0541 | − | 7.11063i | 2.20368 | − | 0.521376i | ||||
\(187\) | 7.12155 | + | 11.0263i | 0.520779 | + | 0.806324i | ||||
\(188\) | −3.21769 | − | 3.46785i | −0.234674 | − | 0.252919i | ||||
\(189\) | 5.34106 | − | 23.2756i | 0.388505 | − | 1.69305i | ||||
\(190\) | 1.63373 | − | 3.39248i | 0.118523 | − | 0.246116i | ||||
\(191\) | 2.20947 | − | 4.58801i | 0.159872 | − | 0.331977i | −0.805611 | − | 0.592445i | \(-0.798163\pi\) |
0.965482 | + | 0.260468i | \(0.0838769\pi\) | |||||||
\(192\) | 3.59604 | + | 19.4899i | 0.259522 | + | 1.40657i | ||||
\(193\) | −4.44865 | − | 4.79450i | −0.320220 | − | 0.345116i | 0.552342 | − | 0.833617i | \(-0.313734\pi\) |
−0.872563 | + | 0.488502i | \(0.837544\pi\) | |||||||
\(194\) | −3.72432 | − | 5.76637i | −0.267390 | − | 0.414001i | ||||
\(195\) | 0.320312 | + | 1.35385i | 0.0229380 | + | 0.0969512i | ||||
\(196\) | 34.7831 | + | 7.03155i | 2.48451 | + | 0.502254i | ||||
\(197\) | 2.63846 | + | 1.35266i | 0.187982 | + | 0.0963729i | 0.547650 | − | 0.836708i | \(-0.315523\pi\) |
−0.359668 | + | 0.933081i | \(0.617110\pi\) | |||||||
\(198\) | −12.5797 | − | 30.6171i | −0.894002 | − | 2.17586i | ||||
\(199\) | −2.77976 | + | 22.1820i | −0.197052 | + | 1.57244i | 0.506781 | + | 0.862075i | \(0.330835\pi\) |
−0.703833 | + | 0.710365i | \(0.748530\pi\) | |||||||
\(200\) | 2.46665 | + | 3.61790i | 0.174418 | + | 0.255825i | ||||
\(201\) | 11.2036 | + | 4.29496i | 0.790238 | + | 0.302943i | ||||
\(202\) | −13.7053 | + | 16.3333i | −0.964298 | + | 1.14921i | ||||
\(203\) | 32.2345 | − | 12.6511i | 2.26242 | − | 0.887933i | ||||
\(204\) | −10.5651 | + | 3.06308i | −0.739704 | + | 0.214459i | ||||
\(205\) | −4.45860 | + | 2.28579i | −0.311402 | + | 0.159646i | ||||
\(206\) | −14.1491 | + | 3.98094i | −0.985814 | + | 0.277365i | ||||
\(207\) | −7.09909 | + | 11.3833i | −0.493421 | + | 0.791196i | ||||
\(208\) | 2.15406 | − | 0.435454i | 0.149358 | − | 0.0301933i | ||||
\(209\) | 8.94369 | + | 2.51636i | 0.618648 | + | 0.174060i | ||||
\(210\) | 16.5480 | − | 2.62845i | 1.14192 | − | 0.181380i | ||||
\(211\) | 1.80062 | − | 0.759024i | 0.123960 | − | 0.0522534i | −0.325575 | − | 0.945516i | \(-0.605558\pi\) |
0.449535 | + | 0.893263i | \(0.351590\pi\) | |||||||
\(212\) | −3.40094 | − | 0.169734i | −0.233578 | − | 0.0116574i | ||||
\(213\) | −2.31596 | + | 16.2372i | −0.158687 | + | 1.11256i | ||||
\(214\) | −17.1946 | − | 11.7231i | −1.17540 | − | 0.801373i | ||||
\(215\) | 4.71152 | − | 0.117498i | 0.321323 | − | 0.00801330i | ||||
\(216\) | 5.63487 | − | 0.557218i | 0.383405 | − | 0.0379139i | ||||
\(217\) | −37.9886 | + | 6.69842i | −2.57884 | + | 0.454718i | ||||
\(218\) | −5.51655 | + | 8.54129i | −0.373628 | + | 0.578489i | ||||
\(219\) | −24.1159 | − | 8.56173i | −1.62960 | − | 0.578548i | ||||
\(220\) | 9.25774 | − | 9.02974i | 0.624157 | − | 0.608785i | ||||
\(221\) | 0.603878 | + | 1.95772i | 0.0406212 | + | 0.131691i | ||||
\(222\) | −10.0127 | − | 3.27603i | −0.672007 | − | 0.219873i | ||||
\(223\) | 6.54434 | − | 5.77541i | 0.438241 | − | 0.386750i | −0.413678 | − | 0.910423i | \(-0.635756\pi\) |
0.851919 | + | 0.523673i | \(0.175439\pi\) | |||||||
\(224\) | −4.53654 | − | 36.2007i | −0.303110 | − | 2.41876i | ||||
\(225\) | −10.4941 | + | 5.93224i | −0.699603 | + | 0.395482i | ||||
\(226\) | −29.7403 | + | 10.8246i | −1.97830 | + | 0.720041i | ||||
\(227\) | 1.80278 | + | 11.9607i | 0.119655 | + | 0.793857i | 0.965495 | + | 0.260421i | \(0.0838614\pi\) |
−0.845840 | + | 0.533436i | \(0.820901\pi\) | |||||||
\(228\) | −4.17238 | + | 6.57380i | −0.276323 | + | 0.435361i | ||||
\(229\) | −9.20524 | + | 9.92089i | −0.608300 | + | 0.655591i | −0.959829 | − | 0.280586i | \(-0.909471\pi\) |
0.351529 | + | 0.936177i | \(0.385662\pi\) | |||||||
\(230\) | −9.26983 | − | 1.63452i | −0.611234 | − | 0.107777i | ||||
\(231\) | 13.4774 | + | 39.0851i | 0.886750 | + | 2.57161i | ||||
\(232\) | 5.27777 | + | 6.28980i | 0.346503 | + | 0.412946i | ||||
\(233\) | 21.8949 | + | 11.9233i | 1.43439 | + | 0.781125i | 0.993214 | − | 0.116299i | \(-0.0371030\pi\) |
0.441171 | + | 0.897423i | \(0.354563\pi\) | |||||||
\(234\) | −0.595792 | − | 5.13192i | −0.0389481 | − | 0.335484i | ||||
\(235\) | 1.61537 | + | 0.932634i | 0.105375 | + | 0.0608383i | ||||
\(236\) | −20.3087 | + | 12.4104i | −1.32198 | + | 0.807847i | ||||
\(237\) | −16.0021 | + | 20.3954i | −1.03945 | + | 1.32482i | ||||
\(238\) | 24.0557 | − | 5.49055i | 1.55930 | − | 0.355900i | ||||
\(239\) | −4.63817 | + | 13.8048i | −0.300018 | + | 0.892960i | 0.686186 | + | 0.727426i | \(0.259284\pi\) |
−0.986204 | + | 0.165533i | \(0.947065\pi\) | |||||||
\(240\) | −2.15524 | − | 4.12316i | −0.139120 | − | 0.266149i | ||||
\(241\) | 24.1960 | + | 0.603411i | 1.55860 | + | 0.0388691i | 0.794916 | − | 0.606719i | \(-0.207515\pi\) |
0.763686 | + | 0.645588i | \(0.223388\pi\) | |||||||
\(242\) | 27.5555 | + | 19.8111i | 1.77134 | + | 1.27351i | ||||
\(243\) | 0.228810 | + | 15.5868i | 0.0146781 | + | 0.999892i | ||||
\(244\) | −2.33838 | − | 31.2035i | −0.149699 | − | 1.99760i | ||||
\(245\) | −13.9225 | + | 1.39316i | −0.889478 | + | 0.0890057i | ||||
\(246\) | 17.4333 | − | 6.50205i | 1.11150 | − | 0.414556i | ||||
\(247\) | 1.23739 | + | 0.756154i | 0.0787333 | + | 0.0481129i | ||||
\(248\) | −4.37435 | − | 8.03266i | −0.277772 | − | 0.510075i | ||||
\(249\) | 3.57073 | − | 0.751332i | 0.226286 | − | 0.0476137i | ||||
\(250\) | −14.8412 | − | 11.8354i | −0.938637 | − | 0.748538i | ||||
\(251\) | −0.334511 | − | 6.70257i | −0.0211142 | − | 0.423063i | −0.986656 | − | 0.162816i | \(-0.947942\pi\) |
0.965542 | − | 0.260246i | \(-0.0838038\pi\) | |||||||
\(252\) | −34.6185 | + | 1.41246i | −2.18076 | + | 0.0889764i | ||||
\(253\) | − | 23.2259i | − | 1.46020i | ||||||
\(254\) | −16.1501 | − | 17.6726i | −1.01335 | − | 1.10888i | ||||
\(255\) | 3.62465 | − | 2.38195i | 0.226984 | − | 0.149164i | ||||
\(256\) | −4.48165 | + | 2.15825i | −0.280103 | + | 0.134891i | ||||
\(257\) | −24.6002 | + | 1.22774i | −1.53452 | + | 0.0765846i | −0.799170 | − | 0.601106i | \(-0.794727\pi\) |
−0.735348 | + | 0.677690i | \(0.762981\pi\) | |||||||
\(258\) | −17.4282 | − | 1.60461i | −1.08503 | − | 0.0998985i | ||||
\(259\) | 12.2489 | + | 4.80732i | 0.761107 | + | 0.298712i | ||||
\(260\) | 1.77267 | − | 0.965342i | 0.109936 | − | 0.0598680i | ||||
\(261\) | −18.4724 | + | 13.0277i | −1.14341 | + | 0.806395i | ||||
\(262\) | 6.24639 | − | 27.3672i | 0.385904 | − | 1.69075i | ||||
\(263\) | 0.347213 | + | 3.46988i | 0.0214101 | + | 0.213962i | 0.999968 | + | 0.00799014i | \(0.00254337\pi\) |
−0.978558 | + | 0.205972i | \(0.933965\pi\) | |||||||
\(264\) | −7.76719 | + | 5.98084i | −0.478037 | + | 0.368095i | ||||
\(265\) | 1.30111 | − | 0.331303i | 0.0799266 | − | 0.0203518i | ||||
\(266\) | 10.1951 | − | 14.1805i | 0.625099 | − | 0.869460i | ||||
\(267\) | 5.04824 | − | 3.14011i | 0.308947 | − | 0.192172i | ||||
\(268\) | 1.73330 | − | 17.3218i | 0.105878 | − | 1.05810i | ||||
\(269\) | −2.65172 | − | 0.890930i | −0.161678 | − | 0.0543209i | 0.236487 | − | 0.971635i | \(-0.424004\pi\) |
−0.398165 | + | 0.917314i | \(0.630353\pi\) | |||||||
\(270\) | −10.0835 | + | 4.23672i | −0.613663 | + | 0.257838i | ||||
\(271\) | −8.04573 | − | 23.9469i | −0.488743 | − | 1.45467i | −0.852277 | − | 0.523090i | \(-0.824779\pi\) |
0.363534 | − | 0.931581i | \(-0.381570\pi\) | |||||||
\(272\) | −3.57252 | − | 5.84616i | −0.216616 | − | 0.354476i | ||||
\(273\) | 0.372701 | + | 6.44217i | 0.0225569 | + | 0.389898i | ||||
\(274\) | −2.00448 | + | 1.15728i | −0.121095 | + | 0.0699141i | ||||
\(275\) | 9.98113 | − | 18.3284i | 0.601885 | − | 1.10525i | ||||
\(276\) | 18.6442 | + | 5.58961i | 1.12225 | + | 0.336455i | ||||
\(277\) | −0.210735 | + | 0.827608i | −0.0126618 | + | 0.0497261i | −0.975089 | − | 0.221813i | \(-0.928803\pi\) |
0.962427 | + | 0.271539i | \(0.0875327\pi\) | |||||||
\(278\) | 0.731873 | − | 4.15066i | 0.0438948 | − | 0.248940i | ||||
\(279\) | 23.0452 | − | 10.1473i | 1.37968 | − | 0.607504i | ||||
\(280\) | −2.04091 | − | 4.52313i | −0.121968 | − | 0.270309i | ||||
\(281\) | −14.9139 | + | 2.24790i | −0.889687 | + | 0.134099i | −0.577952 | − | 0.816071i | \(-0.696148\pi\) |
−0.311734 | + | 0.950169i | \(0.600910\pi\) | |||||||
\(282\) | −5.55451 | − | 4.13854i | −0.330767 | − | 0.246446i | ||||
\(283\) | 12.7412 | − | 16.8207i | 0.757385 | − | 0.999887i | −0.242175 | − | 0.970232i | \(-0.577861\pi\) |
0.999560 | − | 0.0296544i | \(-0.00944066\pi\) | |||||||
\(284\) | 23.6116 | − | 2.95892i | 1.40109 | − | 0.175580i | ||||
\(285\) | 0.808040 | − | 2.96174i | 0.0478641 | − | 0.175439i | ||||
\(286\) | 5.57674 | + | 6.99301i | 0.329759 | + | 0.413505i | ||||
\(287\) | −22.2073 | + | 6.85003i | −1.31085 | + | 0.404344i | ||||
\(288\) | 8.49895 | + | 22.2474i | 0.500805 | + | 1.31094i | ||||
\(289\) | −8.45987 | + | 6.40810i | −0.497640 | + | 0.376947i | ||||
\(290\) | −13.3227 | − | 8.60473i | −0.782337 | − | 0.505287i | ||||
\(291\) | −3.83917 | − | 4.07246i | −0.225056 | − | 0.238732i | ||||
\(292\) | −2.77461 | + | 37.0246i | −0.162372 | + | 2.16670i | ||||
\(293\) | −0.165678 | − | 6.64349i | −0.00967903 | − | 0.388117i | −0.985513 | − | 0.169602i | \(-0.945752\pi\) |
0.975834 | − | 0.218515i | \(-0.0701212\pi\) | |||||||
\(294\) | 51.9527 | + | 0.883847i | 3.02995 | + | 0.0515470i | ||||
\(295\) | 6.20945 | − | 7.03616i | 0.361528 | − | 0.409661i | ||||
\(296\) | −0.155520 | + | 3.11615i | −0.00903944 | + | 0.181122i | ||||
\(297\) | −14.6157 | − | 22.6875i | −0.848087 | − | 1.31646i | ||||
\(298\) | −0.893173 | + | 1.97948i | −0.0517401 | + | 0.114668i | ||||
\(299\) | 0.981829 | − | 3.48963i | 0.0567807 | − | 0.201810i | ||||
\(300\) | 12.3108 | + | 12.4232i | 0.710762 | + | 0.717252i | ||||
\(301\) | 21.6162 | + | 3.25811i | 1.24593 | + | 0.187794i | ||||
\(302\) | −9.02333 | − | 32.0708i | −0.519234 | − | 1.84547i | ||||
\(303\) | −8.57245 | + | 15.1234i | −0.492474 | + | 0.868815i | ||||
\(304\) | −4.63404 | − | 1.42941i | −0.265780 | − | 0.0819824i | ||||
\(305\) | 4.50748 | + | 11.4849i | 0.258098 | + | 0.657622i | ||||
\(306\) | −14.3990 | + | 7.21745i | −0.823137 | + | 0.412594i | ||||
\(307\) | 24.3556 | − | 17.5105i | 1.39005 | − | 0.999376i | 0.393248 | − | 0.919433i | \(-0.371351\pi\) |
0.996799 | − | 0.0799433i | \(-0.0254739\pi\) | |||||||
\(308\) | 49.5608 | − | 33.7900i | 2.82399 | − | 1.92536i | ||||
\(309\) | −10.7557 | + | 5.28503i | −0.611869 | + | 0.300655i | ||||
\(310\) | 12.6475 | + | 12.3360i | 0.718330 | + | 0.700640i | ||||
\(311\) | −3.09034 | + | 6.02794i | −0.175237 | + | 0.341813i | −0.960924 | − | 0.276811i | \(-0.910722\pi\) |
0.785687 | + | 0.618624i | \(0.212310\pi\) | |||||||
\(312\) | −1.41983 | + | 0.570263i | −0.0803819 | + | 0.0322848i | ||||
\(313\) | −2.18020 | + | 5.99006i | −0.123232 | + | 0.338578i | −0.985934 | − | 0.167135i | \(-0.946548\pi\) |
0.862702 | + | 0.505713i | \(0.168771\pi\) | |||||||
\(314\) | −10.2293 | + | 6.60675i | −0.577270 | + | 0.372841i | ||||
\(315\) | 12.8792 | − | 4.55550i | 0.725658 | − | 0.256674i | ||||
\(316\) | 34.6582 | + | 14.6097i | 1.94968 | + | 0.821857i | ||||
\(317\) | 28.7877 | + | 13.8634i | 1.61688 | + | 0.778646i | 0.999965 | − | 0.00838661i | \(-0.00266957\pi\) |
0.616911 | + | 0.787033i | \(0.288384\pi\) | |||||||
\(318\) | −4.94216 | + | 0.659142i | −0.277142 | + | 0.0369628i | ||||
\(319\) | 15.2010 | − | 36.0609i | 0.851090 | − | 2.01902i | ||||
\(320\) | −8.31105 | + | 7.71153i | −0.464602 | + | 0.431087i | ||||
\(321\) | −15.5207 | − | 6.85574i | −0.866281 | − | 0.382650i | ||||
\(322\) | −41.0267 | − | 14.9325i | −2.28633 | − | 0.832155i | ||||
\(323\) | 0.895804 | − | 4.43129i | 0.0498439 | − | 0.246563i | ||||
\(324\) | 21.7295 | − | 6.27246i | 1.20719 | − | 0.348470i | ||||
\(325\) | 2.27444 | − | 2.33187i | 0.126163 | − | 0.129349i | ||||
\(326\) | 51.8934 | + | 6.50308i | 2.87411 | + | 0.360172i | ||||
\(327\) | −3.15955 | + | 7.66442i | −0.174723 | + | 0.423843i | ||||
\(328\) | −3.21667 | − | 4.47412i | −0.177611 | − | 0.247042i | ||||
\(329\) | 6.62759 | + | 5.56120i | 0.365391 | + | 0.306599i | ||||
\(330\) | 10.9314 | − | 15.4616i | 0.601752 | − | 0.851133i | ||||
\(331\) | 6.62452 | − | 21.4762i | 0.364116 | − | 1.18044i | −0.569448 | − | 0.822027i | \(-0.692843\pi\) |
0.933565 | − | 0.358409i | \(-0.116681\pi\) | |||||||
\(332\) | −2.41521 | − | 4.71105i | −0.132552 | − | 0.258552i | ||||
\(333\) | −8.51270 | − | 1.14545i | −0.466493 | − | 0.0627705i | ||||
\(334\) | −5.87747 | + | 38.9945i | −0.321601 | + | 2.13368i | ||||
\(335\) | 1.36006 | + | 6.72782i | 0.0743079 | + | 0.367580i | ||||
\(336\) | −6.52387 | − | 20.5699i | −0.355906 | − | 1.12218i | ||||
\(337\) | 6.67621 | + | 3.01242i | 0.363677 | + | 0.164097i | 0.584858 | − | 0.811135i | \(-0.301150\pi\) |
−0.221182 | + | 0.975233i | \(0.570991\pi\) | |||||||
\(338\) | −10.1851 | − | 24.1618i | −0.553995 | − | 1.31423i | ||||
\(339\) | −22.2441 | + | 13.0787i | −1.20814 | + | 0.710338i | ||||
\(340\) | −4.71818 | − | 4.16382i | −0.255879 | − | 0.225815i | ||||
\(341\) | −24.5573 | + | 36.0189i | −1.32985 | + | 1.95053i | ||||
\(342\) | −4.26138 | + | 10.5742i | −0.230429 | + | 0.571787i | ||||
\(343\) | −32.6374 | − | 2.44583i | −1.76225 | − | 0.132063i | ||||
\(344\) | 0.900077 | + | 5.10459i | 0.0485289 | + | 0.275221i | ||||
\(345\) | −7.67426 | + | 0.0607997i | −0.413168 | + | 0.00327335i | ||||
\(346\) | 16.7820 | + | 22.1553i | 0.902204 | + | 1.19107i | ||||
\(347\) | −8.62831 | − | 8.84617i | −0.463192 | − | 0.474888i | 0.443745 | − | 0.896153i | \(-0.353650\pi\) |
−0.906937 | + | 0.421266i | \(0.861586\pi\) | |||||||
\(348\) | 25.2890 | + | 20.8808i | 1.35563 | + | 1.11933i | ||||
\(349\) | 6.55910 | − | 5.23070i | 0.351100 | − | 0.279993i | −0.432019 | − | 0.901864i | \(-0.642199\pi\) |
0.783119 | + | 0.621871i | \(0.213627\pi\) | |||||||
\(350\) | −25.9586 | − | 29.4146i | −1.38754 | − | 1.57228i | ||||
\(351\) | −1.23690 | − | 4.02658i | −0.0660206 | − | 0.214923i | ||||
\(352\) | −32.8666 | − | 24.8955i | −1.75179 | − | 1.32693i | ||||
\(353\) | −8.03222 | − | 22.0683i | −0.427512 | − | 1.17458i | −0.947318 | − | 0.320295i | \(-0.896218\pi\) |
0.519806 | − | 0.854284i | \(-0.326004\pi\) | |||||||
\(354\) | −25.9456 | + | 23.2654i | −1.37900 | + | 1.23654i | ||||
\(355\) | −8.55235 | + | 3.85897i | −0.453912 | + | 0.204813i | ||||
\(356\) | −6.32301 | − | 5.86690i | −0.335119 | − | 0.310945i | ||||
\(357\) | 18.4754 | − | 7.96098i | 0.977820 | − | 0.421340i | ||||
\(358\) | 19.2980 | + | 4.91388i | 1.01993 | + | 0.259706i | ||||
\(359\) | 6.65982 | − | 5.58825i | 0.351492 | − | 0.294937i | −0.449897 | − | 0.893080i | \(-0.648539\pi\) |
0.801389 | + | 0.598144i | \(0.204095\pi\) | |||||||
\(360\) | 1.99651 | + | 2.55076i | 0.105225 | + | 0.134437i | ||||
\(361\) | 7.90000 | + | 13.6832i | 0.415790 | + | 0.720169i | ||||
\(362\) | −6.30713 | + | 10.9243i | −0.331496 | + | 0.574167i | ||||
\(363\) | 25.0245 | + | 11.8079i | 1.31345 | + | 0.619752i | ||||
\(364\) | 8.87479 | − | 2.98177i | 0.465165 | − | 0.156287i | ||||
\(365\) | −3.25757 | − | 14.2723i | −0.170509 | − | 0.747048i | ||||
\(366\) | −11.6570 | − | 44.3091i | −0.609323 | − | 2.31607i | ||||
\(367\) | 8.77401 | + | 0.877972i | 0.458000 | + | 0.0458298i | 0.325895 | − | 0.945406i | \(-0.394334\pi\) |
0.132105 | + | 0.991236i | \(0.457826\pi\) | |||||||
\(368\) | −0.302234 | + | 12.1192i | −0.0157550 | + | 0.631757i | ||||
\(369\) | 13.0159 | − | 7.79228i | 0.677582 | − | 0.405650i | ||||
\(370\) | −1.48712 | − | 5.84028i | −0.0773116 | − | 0.303622i | ||||
\(371\) | 6.21012 | − | 0.465384i | 0.322413 | − | 0.0241615i | ||||
\(372\) | −23.0036 | − | 28.3814i | −1.19268 | − | 1.47151i | ||||
\(373\) | 18.7184 | + | 4.27235i | 0.969202 | + | 0.221214i | 0.677685 | − | 0.735352i | \(-0.262983\pi\) |
0.291516 | + | 0.956566i | \(0.405840\pi\) | |||||||
\(374\) | 14.5401 | − | 23.7939i | 0.751853 | − | 1.23035i | ||||
\(375\) | −13.6504 | − | 7.29398i | −0.704902 | − | 0.376660i | ||||
\(376\) | −0.749468 | + | 1.90961i | −0.0386509 | + | 0.0984808i | ||||
\(377\) | 3.80831 | − | 4.77547i | 0.196138 | − | 0.245949i | ||||
\(378\) | −49.4723 | + | 11.2311i | −2.54458 | + | 0.577663i | ||||
\(379\) | −0.432469 | − | 0.898031i | −0.0222144 | − | 0.0461287i | 0.889566 | − | 0.456806i | \(-0.151007\pi\) |
−0.911781 | + | 0.410677i | \(0.865292\pi\) | |||||||
\(380\) | −4.45412 | −0.228492 | ||||||||
\(381\) | −15.5634 | − | 11.7805i | −0.797337 | − | 0.603534i | ||||
\(382\) | −10.8180 | −0.553495 | ||||||||
\(383\) | 8.78606 | + | 18.2444i | 0.448946 | + | 0.932247i | 0.995495 | + | 0.0948192i | \(0.0302273\pi\) |
−0.546548 | + | 0.837428i | \(0.684058\pi\) | |||||||
\(384\) | 11.7888 | − | 8.61806i | 0.601595 | − | 0.439788i | ||||
\(385\) | −14.7461 | + | 18.4911i | −0.751533 | + | 0.942392i | ||||
\(386\) | −5.07619 | + | 12.9339i | −0.258371 | + | 0.658319i | ||||
\(387\) | −14.2111 | + | 1.29170i | −0.722393 | + | 0.0656609i | ||||
\(388\) | −4.23414 | + | 6.92886i | −0.214956 | + | 0.351760i | ||||
\(389\) | −5.68075 | − | 1.29659i | −0.288026 | − | 0.0657400i | 0.0760670 | − | 0.997103i | \(-0.475764\pi\) |
−0.364093 | + | 0.931363i | \(0.618621\pi\) | |||||||
\(390\) | 2.29602 | − | 1.86096i | 0.116263 | − | 0.0942334i | ||||
\(391\) | −11.2700 | + | 0.844570i | −0.569948 | + | 0.0427117i | ||||
\(392\) | −3.79722 | − | 14.9126i | −0.191788 | − | 0.753200i | ||||
\(393\) | 0.959693 | − | 22.8668i | 0.0484101 | − | 1.15348i | ||||
\(394\) | 0.157032 | − | 6.29678i | 0.00791115 | − | 0.317227i | ||||
\(395\) | −14.7562 | − | 1.47658i | −0.742465 | − | 0.0742948i | ||||
\(396\) | −26.1743 | + | 29.1213i | −1.31531 | + | 1.46340i | ||||
\(397\) | 1.34574 | + | 5.89607i | 0.0675408 | + | 0.295915i | 0.997406 | − | 0.0719858i | \(-0.0229336\pi\) |
−0.929865 | + | 0.367901i | \(0.880076\pi\) | |||||||
\(398\) | 45.0184 | − | 15.1254i | 2.25657 | − | 0.758167i | ||||
\(399\) | 6.07649 | − | 12.8780i | 0.304205 | − | 0.644705i | ||||
\(400\) | −5.44663 | + | 9.43383i | −0.272331 | + | 0.471692i | ||||
\(401\) | 15.0948 | + | 26.1449i | 0.753796 | + | 1.30561i | 0.945971 | + | 0.324253i | \(0.105113\pi\) |
−0.192174 | + | 0.981361i | \(0.561554\pi\) | |||||||
\(402\) | −2.10614 | − | 25.4023i | −0.105045 | − | 1.26695i | ||||
\(403\) | −5.21230 | + | 4.37364i | −0.259643 | + | 0.217866i | ||||
\(404\) | 24.4418 | + | 6.22364i | 1.21602 | + | 0.309638i | ||||
\(405\) | −7.45809 | + | 4.88867i | −0.370596 | + | 0.242920i | ||||
\(406\) | −53.9256 | − | 50.0357i | −2.67628 | − | 2.48323i | ||||
\(407\) | 13.5546 | − | 6.11607i | 0.671877 | − | 0.303163i | ||||
\(408\) | 3.18455 | + | 3.55142i | 0.157659 | + | 0.175822i | ||||
\(409\) | 6.74468 | + | 18.5309i | 0.333503 | + | 0.916292i | 0.987193 | + | 0.159529i | \(0.0509977\pi\) |
−0.653690 | + | 0.756762i | \(0.726780\pi\) | |||||||
\(410\) | 8.48462 | + | 6.42685i | 0.419025 | + | 0.317399i | ||||
\(411\) | −1.43596 | + | 1.22443i | −0.0708309 | + | 0.0603968i | ||||
\(412\) | 11.5048 | + | 13.0365i | 0.566800 | + | 0.642263i | ||||
\(413\) | 34.0310 | − | 27.1388i | 1.67455 | − | 1.33541i | ||||
\(414\) | 28.3311 | + | 3.09526i | 1.39240 | + | 0.152124i | ||||
\(415\) | 1.45750 | + | 1.49430i | 0.0715459 | + | 0.0733524i | ||||
\(416\) | −3.88571 | − | 5.12985i | −0.190512 | − | 0.251511i | ||||
\(417\) | −0.0272237 | − | 3.43623i | −0.00133315 | − | 0.168273i | ||||
\(418\) | −3.42737 | − | 19.4376i | −0.167638 | − | 0.950723i | ||||
\(419\) | −28.5282 | − | 2.13789i | −1.39369 | − | 0.104443i | −0.643390 | − | 0.765538i | \(-0.722473\pi\) |
−0.750302 | + | 0.661095i | \(0.770092\pi\) | |||||||
\(420\) | −11.2946 | − | 16.2873i | −0.551118 | − | 0.794741i | ||||
\(421\) | 2.27725 | − | 3.34011i | 0.110986 | − | 0.162787i | −0.766727 | − | 0.641974i | \(-0.778116\pi\) |
0.877713 | + | 0.479187i | \(0.159068\pi\) | |||||||
\(422\) | −3.11245 | − | 2.74676i | −0.151512 | − | 0.133710i | ||||
\(423\) | −5.06579 | − | 2.49653i | −0.246307 | − | 0.121385i | ||||
\(424\) | 0.573571 | + | 1.36067i | 0.0278551 | + | 0.0660801i | ||||
\(425\) | −9.25653 | − | 4.17671i | −0.449008 | − | 0.202600i | ||||
\(426\) | 33.2126 | − | 10.5336i | 1.60916 | − | 0.510355i | ||||
\(427\) | 11.3392 | + | 56.0917i | 0.548741 | + | 2.71447i | ||||
\(428\) | −3.66902 | + | 24.3424i | −0.177349 | + | 1.17663i | ||||
\(429\) | 5.50589 | + | 4.78192i | 0.265827 | + | 0.230873i | ||||
\(430\) | −4.56765 | − | 8.90952i | −0.220271 | − | 0.429655i | ||||
\(431\) | −10.7382 | + | 34.8123i | −0.517239 | + | 1.67685i | 0.199817 | + | 0.979833i | \(0.435965\pi\) |
−0.717057 | + | 0.697015i | \(0.754511\pi\) | |||||||
\(432\) | 7.33118 | + | 12.0284i | 0.352721 | + | 0.578719i | ||||
\(433\) | 3.38140 | + | 2.83733i | 0.162500 | + | 0.136353i | 0.720412 | − | 0.693547i | \(-0.243953\pi\) |
−0.557912 | + | 0.829900i | \(0.688397\pi\) | |||||||
\(434\) | 47.8360 | + | 66.5359i | 2.29620 | + | 3.19382i | ||||
\(435\) | −11.9550 | − | 4.92827i | −0.573197 | − | 0.236293i | ||||
\(436\) | 11.9344 | + | 1.49558i | 0.571556 | + | 0.0716253i | ||||
\(437\) | −5.58554 | + | 5.72657i | −0.267192 | + | 0.273939i | ||||
\(438\) | 5.84129 | + | 54.0493i | 0.279108 | + | 2.58258i | ||||
\(439\) | −0.793637 | + | 3.92590i | −0.0378782 | + | 0.187373i | −0.994624 | − | 0.103553i | \(-0.966979\pi\) |
0.956746 | + | 0.290925i | \(0.0939631\pi\) | |||||||
\(440\) | −5.26973 | − | 1.91802i | −0.251224 | − | 0.0914382i | ||||
\(441\) | 41.7859 | − | 6.97702i | 1.98981 | − | 0.332239i | ||||
\(442\) | 3.19046 | − | 2.96031i | 0.151755 | − | 0.140808i | ||||
\(443\) | −0.384034 | + | 0.911035i | −0.0182460 | + | 0.0432846i | −0.930345 | − | 0.366685i | \(-0.880493\pi\) |
0.912099 | + | 0.409970i | \(0.134461\pi\) | |||||||
\(444\) | 1.64749 | + | 12.3527i | 0.0781864 | + | 0.586231i | ||||
\(445\) | 3.06419 | + | 1.47563i | 0.145256 | + | 0.0699518i | ||||
\(446\) | −17.0862 | − | 7.20245i | −0.809056 | − | 0.341046i | ||||
\(447\) | −0.423301 | + | 1.71926i | −0.0200215 | + | 0.0813180i | ||||
\(448\) | −44.1747 | + | 28.5311i | −2.08706 | + | 1.34797i | ||||
\(449\) | −4.44225 | + | 12.2050i | −0.209643 | + | 0.575988i | −0.999294 | − | 0.0375673i | \(-0.988039\pi\) |
0.789651 | + | 0.613556i | \(0.210261\pi\) | |||||||
\(450\) | 21.0270 | + | 14.6176i | 0.991220 | + | 0.689081i | ||||
\(451\) | −11.9817 | + | 23.3712i | −0.564197 | + | 1.10051i | ||||
\(452\) | 26.8008 | + | 26.1407i | 1.26060 | + | 1.22956i | ||||
\(453\) | −11.9792 | − | 24.3792i | −0.562834 | − | 1.14543i | ||||
\(454\) | 21.2310 | − | 14.4750i | 0.996418 | − | 0.679346i | ||||
\(455\) | −2.99724 | + | 2.15487i | −0.140513 | + | 0.101022i | ||||
\(456\) | 3.35339 | + | 0.393277i | 0.157037 | + | 0.0184169i | ||||
\(457\) | −1.95682 | − | 4.98589i | −0.0915360 | − | 0.233230i | 0.877772 | − | 0.479078i | \(-0.159029\pi\) |
−0.969308 | + | 0.245848i | \(0.920934\pi\) | |||||||
\(458\) | 27.4733 | + | 8.47439i | 1.28374 | + | 0.395982i | ||||
\(459\) | −10.4773 | + | 7.91701i | −0.489037 | + | 0.369534i | ||||
\(460\) | 3.01570 | + | 10.7184i | 0.140608 | + | 0.499750i | ||||
\(461\) | −15.7080 | − | 2.36760i | −0.731594 | − | 0.110270i | −0.227328 | − | 0.973818i | \(-0.572999\pi\) |
−0.504266 | + | 0.863548i | \(0.668237\pi\) | |||||||
\(462\) | 62.3861 | − | 61.8217i | 2.90247 | − | 2.87621i | ||||
\(463\) | 9.23860 | − | 32.8359i | 0.429354 | − | 1.52602i | −0.372234 | − | 0.928139i | \(-0.621408\pi\) |
0.801588 | − | 0.597877i | \(-0.203989\pi\) | |||||||
\(464\) | −8.40106 | + | 18.6187i | −0.390009 | + | 0.864350i | ||||
\(465\) | 11.9656 | + | 8.01988i | 0.554891 | + | 0.371913i | ||||
\(466\) | 2.63997 | − | 52.8969i | 0.122294 | − | 2.45040i | ||||
\(467\) | −15.1801 | + | 17.2012i | −0.702453 | + | 0.795977i | −0.986661 | − | 0.162786i | \(-0.947952\pi\) |
0.284208 | + | 0.958763i | \(0.408269\pi\) | |||||||
\(468\) | −5.16367 | + | 3.26893i | −0.238691 | + | 0.151106i | ||||
\(469\) | 0.793718 | + | 31.8271i | 0.0366505 | + | 1.46964i | ||||
\(470\) | 0.296120 | − | 3.95144i | 0.0136590 | − | 0.182267i | ||||
\(471\) | −7.22433 | + | 6.81050i | −0.332880 | + | 0.313811i | ||||
\(472\) | 8.66976 | + | 5.59953i | 0.399058 | + | 0.257739i | ||||
\(473\) | 19.6929 | − | 14.9168i | 0.905481 | − | 0.685875i | ||||
\(474\) | 53.7862 | + | 11.8288i | 2.47048 | + | 0.543317i | ||||
\(475\) | −6.86870 | + | 2.11871i | −0.315158 | + | 0.0972133i | ||||
\(476\) | −18.1983 | − | 22.8199i | −0.834116 | − | 1.04595i | ||||
\(477\) | −3.86506 | + | 1.25962i | −0.176969 | + | 0.0576739i | ||||
\(478\) | 30.6975 | − | 3.84689i | 1.40407 | − | 0.175953i | ||||
\(479\) | 21.0497 | − | 27.7894i | 0.961783 | − | 1.26973i | −0.00115226 | − | 0.999999i | \(-0.500367\pi\) |
0.962936 | − | 0.269731i | \(-0.0869348\pi\) | |||||||
\(480\) | −8.13988 | + | 10.9249i | −0.371533 | + | 0.498650i | ||||
\(481\) | 2.29509 | − | 0.345929i | 0.104647 | − | 0.0157730i | ||||
\(482\) | −21.1473 | − | 46.8672i | −0.963232 | − | 2.13474i | ||||
\(483\) | −35.1038 | − | 5.90339i | −1.59728 | − | 0.268614i | ||||
\(484\) | 6.97126 | − | 39.5360i | 0.316876 | − | 1.79709i | ||||
\(485\) | 0.790044 | − | 3.10270i | 0.0358740 | − | 0.140886i | ||||
\(486\) | 29.6221 | − | 14.8048i | 1.34369 | − | 0.671557i | ||||
\(487\) | −1.80527 | + | 3.31503i | −0.0818046 | + | 0.150219i | −0.915906 | − | 0.401392i | \(-0.868526\pi\) |
0.834102 | + | 0.551611i | \(0.185987\pi\) | |||||||
\(488\) | −11.7511 | + | 6.78452i | −0.531949 | + | 0.307121i | ||||
\(489\) | 42.5696 | − | 2.46279i | 1.92506 | − | 0.111371i | ||||
\(490\) | 15.4993 | + | 25.3635i | 0.700188 | + | 1.14581i | ||||
\(491\) | 1.54611 | + | 4.60176i | 0.0697749 | + | 0.207674i | 0.977110 | − | 0.212733i | \(-0.0682364\pi\) |
−0.907336 | + | 0.420407i | \(0.861887\pi\) | |||||||
\(492\) | −15.8773 | − | 15.2427i | −0.715805 | − | 0.687195i | ||||
\(493\) | −18.0508 | − | 6.06473i | −0.812965 | − | 0.273142i | ||||
\(494\) | 0.306732 | − | 3.06533i | 0.0138005 | − | 0.137916i | ||||
\(495\) | 6.47733 | − | 14.0141i | 0.291134 | − | 0.629887i | ||||
\(496\) | 13.2826 | − | 18.4750i | 0.596407 | − | 0.829552i | ||||
\(497\) | −42.1740 | + | 10.7388i | −1.89176 | + | 0.481702i | ||||
\(498\) | −4.72930 | − | 6.14184i | −0.211925 | − | 0.275222i | ||||
\(499\) | −1.75669 | − | 17.5555i | −0.0786404 | − | 0.785892i | −0.953475 | − | 0.301471i | \(-0.902522\pi\) |
0.874835 | − | 0.484421i | \(-0.160970\pi\) | |||||||
\(500\) | −4.99667 | + | 21.8918i | −0.223458 | + | 0.979033i | ||||
\(501\) | 1.05619 | + | 32.1349i | 0.0471872 | + | 1.43568i | ||||
\(502\) | −12.5204 | + | 6.81822i | −0.558811 | + | 0.304312i | ||||
\(503\) | 39.8549 | + | 15.6419i | 1.77704 | + | 0.697438i | 0.997467 | + | 0.0711312i | \(0.0226609\pi\) |
0.779577 | + | 0.626307i | \(0.215434\pi\) | |||||||
\(504\) | 7.06529 | + | 13.2596i | 0.314713 | + | 0.590628i | ||||
\(505\) | −9.93232 | + | 0.495701i | −0.441982 | + | 0.0220584i | ||||
\(506\) | −44.4542 | + | 21.4080i | −1.97623 | + | 0.951703i | ||||
\(507\) | −11.7407 | − | 17.8660i | −0.521423 | − | 0.793456i | ||||
\(508\) | −10.5459 | + | 26.2828i | −0.467901 | + | 1.16611i | ||||
\(509\) | − | 8.98316i | − | 0.398171i | −0.979982 | − | 0.199086i | \(-0.936203\pi\) | ||
0.979982 | − | 0.199086i | \(-0.0637972\pi\) | |||||||
\(510\) | −7.90000 | − | 4.74204i | −0.349818 | − | 0.209981i | ||||
\(511\) | −3.38464 | − | 67.8176i | −0.149727 | − | 3.00007i | ||||
\(512\) | 21.4450 | + | 17.1019i | 0.947746 | + | 0.755802i | ||||
\(513\) | −1.85242 | + | 9.10870i | −0.0817864 | + | 0.402159i | ||||
\(514\) | 25.0246 | + | 45.9530i | 1.10379 | + | 2.02690i | ||||
\(515\) | −5.84978 | − | 3.57473i | −0.257772 | − | 0.157521i | ||||
\(516\) | 7.23487 | + | 19.3981i | 0.318497 | + | 0.853953i | ||||
\(517\) | 9.72884 | − | 0.973517i | 0.427874 | − | 0.0428152i | ||||
\(518\) | −2.08896 | − | 27.8753i | −0.0917838 | − | 1.22477i | ||||
\(519\) | 16.7332 | + | 15.2812i | 0.734505 | + | 0.670771i | ||||
\(520\) | −0.710682 | − | 0.510945i | −0.0311654 | − | 0.0224064i | ||||
\(521\) | 4.74582 | + | 0.118353i | 0.207918 | + | 0.00518515i | 0.128754 | − | 0.991677i | \(-0.458902\pi\) |
0.0791634 | + | 0.996862i | \(0.474775\pi\) | |||||||
\(522\) | 41.9615 | + | 23.3480i | 1.83661 | + | 1.02191i | ||||
\(523\) | −0.279260 | + | 0.831176i | −0.0122112 | + | 0.0363448i | −0.953859 | − | 0.300256i | \(-0.902928\pi\) |
0.941648 | + | 0.336601i | \(0.109277\pi\) | |||||||
\(524\) | −32.3732 | + | 7.38898i | −1.41423 | + | 0.322789i | ||||
\(525\) | −25.1648 | − | 19.7442i | −1.09828 | − | 0.861706i | ||||
\(526\) | 6.32128 | − | 3.86286i | 0.275621 | − | 0.168429i | ||||
\(527\) | 18.3706 | + | 10.6063i | 0.800236 | + | 0.462016i | ||||
\(528\) | −21.7892 | − | 10.9536i | −0.948253 | − | 0.476692i | ||||
\(529\) | −2.63689 | − | 1.43597i | −0.114647 | − | 0.0624337i | ||||
\(530\) | −1.83339 | − | 2.18495i | −0.0796372 | − | 0.0949080i | ||||
\(531\) | −17.3612 | + | 22.4922i | −0.753410 | + | 0.976080i | ||||
\(532\) | −20.3458 | − | 3.58751i | −0.882101 | − | 0.155538i | ||||
\(533\) | −2.78820 | + | 3.00496i | −0.120770 | + | 0.130159i | ||||
\(534\) | −10.6633 | − | 6.76796i | −0.461445 | − | 0.292878i | ||||
\(535\) | −1.44666 | − | 9.59797i | −0.0625446 | − | 0.414956i | ||||
\(536\) | −7.09367 | + | 2.58189i | −0.306400 | + | 0.111520i | ||||
\(537\) | 16.1999 | + | 1.08502i | 0.699077 | + | 0.0468223i | ||||
\(538\) | 0.738936 | + | 5.89657i | 0.0318578 | + | 0.254219i | ||||
\(539\) | −54.9920 | + | 48.5307i | −2.36867 | + | 2.09037i | ||||
\(540\) | 9.69073 | + | 8.57225i | 0.417023 | + | 0.368891i | ||||
\(541\) | 12.3230 | + | 39.9502i | 0.529807 | + | 1.71759i | 0.683935 | + | 0.729543i | \(0.260267\pi\) |
−0.154128 | + | 0.988051i | \(0.549257\pi\) | |||||||
\(542\) | −38.4182 | + | 37.4721i | −1.65020 | + | 1.60956i | ||||
\(543\) | −3.44090 | + | 9.69202i | −0.147663 | + | 0.415925i | ||||
\(544\) | −10.8850 | + | 16.8533i | −0.466690 | + | 0.722578i | ||||
\(545\) | −4.67039 | + | 0.823516i | −0.200058 | + | 0.0352756i | ||||
\(546\) | 11.9867 | − | 6.65129i | 0.512985 | − | 0.284649i | ||||
\(547\) | −6.05926 | + | 0.151109i | −0.259075 | + | 0.00646093i | −0.154258 | − | 0.988031i | \(-0.549299\pi\) |
−0.104817 | + | 0.994492i | \(0.533426\pi\) | |||||||
\(548\) | 2.26220 | + | 1.54234i | 0.0966363 | + | 0.0658855i | ||||
\(549\) | −15.9014 | − | 33.8021i | −0.678656 | − | 1.44264i | ||||
\(550\) | −44.2804 | − | 2.20994i | −1.88812 | − | 0.0942324i | ||||
\(551\) | −12.4201 | + | 5.23553i | −0.529116 | + | 0.223041i | ||||
\(552\) | −1.32406 | − | 8.33591i | −0.0563557 | − | 0.354800i | ||||
\(553\) | −66.2148 | − | 18.6299i | −2.81574 | − | 0.792226i | ||||
\(554\) | 1.77828 | − | 0.359486i | 0.0755517 | − | 0.0152731i | ||||
\(555\) | −2.05634 | − | 4.46268i | −0.0872870 | − | 0.189430i | ||||
\(556\) | −4.79930 | + | 1.35031i | −0.203535 | + | 0.0572660i | ||||
\(557\) | 3.60532 | − | 1.84834i | 0.152762 | − | 0.0783167i | −0.378146 | − | 0.925746i | \(-0.623438\pi\) |
0.530908 | + | 0.847429i | \(0.321851\pi\) | |||||||
\(558\) | −40.6634 | − | 34.7553i | −1.72142 | − | 1.47131i | ||||
\(559\) | 3.58939 | − | 1.40873i | 0.151815 | − | 0.0595829i | ||||
\(560\) | 7.93511 | − | 9.45669i | 0.335319 | − | 0.399618i | ||||
\(561\) | 8.13816 | − | 21.2287i | 0.343594 | − | 0.896277i | ||||
\(562\) | 18.0490 | + | 26.4731i | 0.761353 | + | 1.11670i | ||||
\(563\) | 2.79651 | − | 22.3156i | 0.117859 | − | 0.940491i | −0.814803 | − | 0.579738i | \(-0.803155\pi\) |
0.932662 | − | 0.360752i | \(-0.117480\pi\) | |||||||
\(564\) | −1.55989 | + | 8.04395i | −0.0656834 | + | 0.338712i | ||||
\(565\) | −13.1359 | − | 6.73436i | −0.552630 | − | 0.283317i | ||||
\(566\) | −43.9387 | − | 8.88239i | −1.84688 | − | 0.373355i | ||||
\(567\) | −38.0049 | + | 16.3237i | −1.59606 | + | 0.685531i | ||||
\(568\) | −5.59856 | − | 8.66826i | −0.234910 | − | 0.363712i | ||||
\(569\) | −28.6179 | − | 30.8428i | −1.19973 | − | 1.29300i | −0.945413 | − | 0.325874i | \(-0.894342\pi\) |
−0.254312 | − | 0.967122i | \(-0.581849\pi\) | |||||||
\(570\) | −6.41355 | + | 1.18335i | −0.268634 | + | 0.0495650i | ||||
\(571\) | 2.54275 | − | 5.28008i | 0.106411 | − | 0.220964i | −0.840964 | − | 0.541091i | \(-0.818011\pi\) |
0.947375 | + | 0.320127i | \(0.103726\pi\) | |||||||
\(572\) | 4.59070 | − | 9.53269i | 0.191947 | − | 0.398582i | ||||
\(573\) | −8.67374 | + | 1.60037i | −0.362351 | + | 0.0668563i | ||||
\(574\) | 33.5800 | + | 36.1907i | 1.40160 | + | 1.51057i | ||||
\(575\) | 9.74901 | + | 15.0944i | 0.406562 | + | 0.629481i | ||||
\(576\) | 23.5763 | − | 24.9505i | 0.982345 | − | 1.03960i | ||||
\(577\) | −28.1465 | − | 5.68993i | −1.17175 | − | 0.236875i | −0.427022 | − | 0.904241i | \(-0.640437\pi\) |
−0.744730 | + | 0.667366i | \(0.767422\pi\) | |||||||
\(578\) | 20.0628 | + | 10.2856i | 0.834502 | + | 0.427824i | ||||
\(579\) | −2.15664 | + | 11.1212i | −0.0896271 | + | 0.462183i | ||||
\(580\) | −2.33281 | + | 18.6154i | −0.0968646 | + | 0.772961i | ||||
\(581\) | 5.45408 | + | 7.99966i | 0.226273 | + | 0.331882i | ||||
\(582\) | −4.25597 | + | 11.1019i | −0.176416 | + | 0.460187i | ||||
\(583\) | 4.52383 | − | 5.39129i | 0.187358 | − | 0.223285i | ||||
\(584\) | 14.9874 | − | 5.88213i | 0.620184 | − | 0.243404i | ||||
\(585\) | 1.56562 | − | 1.83176i | 0.0647304 | − | 0.0757341i | ||||
\(586\) | −12.5629 | + | 6.44062i | −0.518968 | + | 0.266059i | ||||
\(587\) | 21.0287 | − | 5.91656i | 0.867948 | − | 0.244203i | 0.192218 | − | 0.981352i | \(-0.438432\pi\) |
0.675730 | + | 0.737150i | \(0.263829\pi\) | |||||||
\(588\) | −25.7227 | − | 55.8235i | −1.06079 | − | 2.30212i | ||||
\(589\) | 14.7169 | − | 2.97509i | 0.606401 | − | 0.122587i | ||||
\(590\) | −19.1906 | − | 5.39940i | −0.790065 | − | 0.222290i | ||||
\(591\) | −0.805614 | − | 5.07192i | −0.0331385 | − | 0.208631i | ||||
\(592\) | −7.15234 | + | 3.01496i | −0.293959 | + | 0.123914i | ||||
\(593\) | 3.23681 | + | 0.161542i | 0.132920 | + | 0.00663375i | 0.116195 | − | 0.993226i | \(-0.462930\pi\) |
0.0167244 | + | 0.999860i | \(0.494676\pi\) | |||||||
\(594\) | −29.9520 | + | 48.8860i | −1.22895 | + | 2.00582i | ||||
\(595\) | 9.50872 | + | 6.48294i | 0.389819 | + | 0.265774i | ||||
\(596\) | 2.56809 | − | 0.0640442i | 0.105193 | − | 0.00262335i | ||||
\(597\) | 33.8577 | − | 18.7872i | 1.38570 | − | 0.768910i | ||||
\(598\) | −7.58411 | + | 1.33728i | −0.310137 | + | 0.0546856i | ||||
\(599\) | 5.45530 | − | 8.44646i | 0.222898 | − | 0.345113i | −0.710663 | − | 0.703533i | \(-0.751605\pi\) |
0.933561 | + | 0.358420i | \(0.116684\pi\) | |||||||
\(600\) | 2.53742 | − | 7.14718i | 0.103590 | − | 0.291783i | ||||
\(601\) | −22.2328 | + | 21.6853i | −0.906895 | + | 0.884560i | −0.993746 | − | 0.111661i | \(-0.964383\pi\) |
0.0868516 | + | 0.996221i | \(0.472319\pi\) | |||||||
\(602\) | −13.6883 | − | 44.3763i | −0.557892 | − | 1.80864i | ||||
\(603\) | −5.44661 | − | 20.0558i | −0.221803 | − | 0.816734i | ||||
\(604\) | −29.5490 | + | 26.0772i | −1.20233 | + | 1.06106i | ||||
\(605\) | 1.96825 | + | 15.7063i | 0.0800209 | + | 0.638552i | ||||
\(606\) | 36.8475 | + | 2.46795i | 1.49683 | + | 0.100254i | ||||
\(607\) | −26.7109 | + | 9.72197i | −1.08416 | + | 0.394603i | −0.821455 | − | 0.570273i | \(-0.806837\pi\) |
−0.262706 | + | 0.964876i | \(0.584615\pi\) | |||||||
\(608\) | 2.11652 | + | 14.0422i | 0.0858364 | + | 0.569487i | ||||
\(609\) | −50.6391 | − | 32.1405i | −2.05200 | − | 1.30240i | ||||
\(610\) | 17.8273 | − | 19.2133i | 0.721806 | − | 0.777922i | ||||
\(611\) | 1.50288 | + | 0.264999i | 0.0608002 | + | 0.0107207i | ||||
\(612\) | 15.0825 | + | 11.6417i | 0.609672 | + | 0.470589i | ||||
\(613\) | 22.3325 | + | 26.6148i | 0.902001 | + | 1.07496i | 0.996837 | + | 0.0794703i | \(0.0253229\pi\) |
−0.0948360 | + | 0.995493i | \(0.530233\pi\) | |||||||
\(614\) | −55.9643 | − | 30.4765i | −2.25853 | − | 1.22993i | ||||
\(615\) | 7.75364 | + | 3.89780i | 0.312657 | + | 0.157174i | ||||
\(616\) | −22.5265 | − | 13.0057i | −0.907617 | − | 0.524013i | ||||
\(617\) | 15.6567 | − | 9.56762i | 0.630316 | − | 0.385178i | −0.169408 | − | 0.985546i | \(-0.554186\pi\) |
0.799724 | + | 0.600368i | \(0.204979\pi\) | |||||||
\(618\) | 20.0294 | + | 15.7149i | 0.805699 | + | 0.632146i | ||||
\(619\) | −2.19192 | + | 0.500291i | −0.0881007 | + | 0.0201084i | −0.266344 | − | 0.963878i | \(-0.585816\pi\) |
0.178243 | + | 0.983986i | \(0.442959\pi\) | |||||||
\(620\) | 6.65609 | − | 19.8108i | 0.267315 | − | 0.795622i | ||||
\(621\) | 23.1735 | − | 1.70944i | 0.929919 | − | 0.0685974i | ||||
\(622\) | 14.3859 | + | 0.358762i | 0.576822 | + | 0.0143850i | ||||
\(623\) | 12.8082 | + | 9.20847i | 0.513150 | + | 0.368930i | ||||
\(624\) | −2.81073 | − | 2.56684i | −0.112519 | − | 0.102756i | ||||
\(625\) | 0.839779 | + | 11.2061i | 0.0335912 | + | 0.448243i | ||||
\(626\) | 13.4745 | − | 1.34833i | 0.538549 | − | 0.0538900i | ||||
\(627\) | −5.62355 | − | 15.0778i | −0.224583 | − | 0.602150i | ||||
\(628\) | 12.2915 | + | 7.51115i | 0.490482 | + | 0.299728i | ||||
\(629\) | −3.46062 | − | 6.35476i | −0.137984 | − | 0.253381i | ||||
\(630\) | −20.5903 | − | 20.4517i | −0.820338 | − | 0.814814i | ||||
\(631\) | 4.67339 | + | 3.72690i | 0.186045 | + | 0.148366i | 0.712083 | − | 0.702095i | \(-0.247752\pi\) |
−0.526039 | + | 0.850461i | \(0.676323\pi\) | |||||||
\(632\) | −0.812982 | − | 16.2896i | −0.0323387 | − | 0.647967i | ||||
\(633\) | −2.90188 | − | 1.74188i | −0.115339 | − | 0.0692334i | ||||
\(634\) | − | 67.8777i | − | 2.69577i | ||||||
\(635\) | 0.918868 | − | 11.1283i | 0.0364642 | − | 0.441613i | ||||
\(636\) | 3.23905 | + | 4.92892i | 0.128437 | + | 0.195444i | ||||
\(637\) | −10.3139 | + | 4.96693i | −0.408653 | + | 0.196797i | ||||
\(638\) | −83.0316 | + | 4.14393i | −3.28725 | + | 0.164060i | ||||
\(639\) | 25.0712 | − | 13.3591i | 0.991803 | − | 0.528477i | ||||
\(640\) | 7.77631 | + | 3.05198i | 0.307385 | + | 0.120640i | ||||
\(641\) | 36.9611 | − | 20.1280i | 1.45988 | − | 0.795007i | 0.464010 | − | 0.885830i | \(-0.346410\pi\) |
0.995867 | + | 0.0908235i | \(0.0289499\pi\) | |||||||
\(642\) | 1.18407 | + | 36.0257i | 0.0467317 | + | 1.42182i | ||||
\(643\) | −1.61967 | + | 7.09623i | −0.0638735 | + | 0.279848i | −0.996771 | − | 0.0802932i | \(-0.974414\pi\) |
0.932898 | + | 0.360141i | \(0.117271\pi\) | |||||||
\(644\) | 5.14226 | + | 51.3892i | 0.202634 | + | 2.02502i | ||||
\(645\) | −4.98033 | − | 6.46785i | −0.196100 | − | 0.254671i | ||||
\(646\) | −9.30714 | + | 2.36989i | −0.366185 | + | 0.0932421i | ||||
\(647\) | 13.0378 | − | 18.1344i | 0.512567 | − | 0.712938i | −0.473218 | − | 0.880945i | \(-0.656908\pi\) |
0.985786 | + | 0.168007i | \(0.0537333\pi\) | |||||||
\(648\) | −6.53901 | − | 7.30946i | −0.256877 | − | 0.287143i | ||||
\(649\) | 4.89783 | − | 48.9464i | 0.192256 | − | 1.92131i | ||||
\(650\) | −6.55960 | − | 2.20391i | −0.257289 | − | 0.0864443i | ||||
\(651\) | 48.1975 | + | 46.2711i | 1.88901 | + | 1.81351i | ||||
\(652\) | −19.7034 | − | 58.6442i | −0.771645 | − | 2.29669i | ||||
\(653\) | 24.6624 | + | 40.3582i | 0.965113 | + | 1.57934i | 0.805866 | + | 0.592098i | \(0.201700\pi\) |
0.159247 | + | 0.987239i | \(0.449093\pi\) | |||||||
\(654\) | 17.5819 | − | 1.01717i | 0.687507 | − | 0.0397746i | ||||
\(655\) | 11.3386 | − | 6.54636i | 0.443037 | − | 0.255787i | ||||
\(656\) | 6.55615 | − | 12.0391i | 0.255975 | − | 0.470048i | ||||
\(657\) | 12.6793 | + | 42.4721i | 0.494668 | + | 1.65699i | ||||
\(658\) | 4.53526 | − | 17.8111i | 0.176803 | − | 0.694349i | ||||
\(659\) | −7.36205 | + | 41.7522i | −0.286785 | + | 1.62644i | 0.412056 | + | 0.911159i | \(0.364811\pi\) |
−0.698840 | + | 0.715278i | \(0.746300\pi\) | |||||||
\(660\) | −22.0891 | − | 3.71471i | −0.859816 | − | 0.144595i | ||||
\(661\) | −11.3349 | − | 25.1207i | −0.440876 | − | 0.977081i | −0.989964 | − | 0.141317i | \(-0.954866\pi\) |
0.549089 | − | 0.835764i | \(-0.314975\pi\) | |||||||
\(662\) | −47.2113 | + | 7.11595i | −1.83492 | + | 0.276569i | ||||
\(663\) | 2.12014 | − | 2.84553i | 0.0823394 | − | 0.110511i | ||||
\(664\) | −1.38617 | + | 1.83000i | −0.0537937 | + | 0.0710176i | ||||
\(665\) | 8.08267 | − | 1.01289i | 0.313433 | − | 0.0392782i | ||||
\(666\) | 5.65403 | + | 17.3491i | 0.219089 | + | 0.672262i | ||||
\(667\) | 21.0080 | + | 26.3432i | 0.813433 | + | 1.02001i | ||||
\(668\) | 44.5759 | − | 13.7498i | 1.72469 | − | 0.531997i | ||||
\(669\) | −14.7651 | − | 3.24718i | −0.570850 | − | 0.125543i | ||||
\(670\) | 11.6234 | − | 8.80438i | 0.449051 | − | 0.340143i | ||||
\(671\) | 54.3265 | + | 35.0878i | 2.09725 | + | 1.35455i | ||||
\(672\) | −45.9810 | + | 43.3471i | −1.77376 | + | 1.67215i | ||||
\(673\) | −1.24817 | + | 16.6556i | −0.0481133 | + | 0.642027i | 0.920065 | + | 0.391766i | \(0.128136\pi\) |
−0.968178 | + | 0.250261i | \(0.919483\pi\) | |||||||
\(674\) | −0.387914 | − | 15.5549i | −0.0149419 | − | 0.599152i | ||||
\(675\) | 19.0217 | + | 8.60962i | 0.732145 | + | 0.331384i | ||||
\(676\) | −20.5236 | + | 23.2560i | −0.789368 | + | 0.894463i | ||||
\(677\) | 2.13623 | − | 42.8034i | 0.0821019 | − | 1.64507i | −0.525476 | − | 0.850808i | \(-0.676113\pi\) |
0.607578 | − | 0.794260i | \(-0.292141\pi\) | |||||||
\(678\) | 45.5357 | + | 30.5201i | 1.74879 | + | 1.17212i | ||||
\(679\) | 6.10782 | − | 13.5363i | 0.234397 | − | 0.519476i | ||||
\(680\) | −0.739066 | + | 2.62680i | −0.0283419 | + | 0.100733i | ||||
\(681\) | 14.8814 | − | 14.7467i | 0.570256 | − | 0.565097i | ||||
\(682\) | 91.5752 | + | 13.8027i | 3.50660 | + | 0.528534i | ||||
\(683\) | 5.14166 | + | 18.2745i | 0.196740 | + | 0.699256i | 0.995257 | + | 0.0972831i | \(0.0310152\pi\) |
−0.798517 | + | 0.601973i | \(0.794382\pi\) | |||||||
\(684\) | 13.4569 | − | 0.885542i | 0.514536 | − | 0.0338596i | ||||
\(685\) | −1.03158 | − | 0.318202i | −0.0394148 | − | 0.0121579i | ||||
\(686\) | 25.4016 | + | 64.7222i | 0.969837 | + | 2.47110i | ||||
\(687\) | 23.2815 | + | 2.73039i | 0.888244 | + | 0.104171i | ||||
\(688\) | −10.4698 | + | 7.52727i | −0.399157 | + | 0.286975i | ||||
\(689\) | 0.907600 | − | 0.618791i | 0.0345768 | − | 0.0235741i | ||||
\(690\) | 7.18997 | + | 14.6324i | 0.273718 | + | 0.557048i | ||||
\(691\) | 2.86870 | + | 2.79805i | 0.109131 | + | 0.106443i | 0.750771 | − | 0.660563i | \(-0.229682\pi\) |
−0.641640 | + | 0.767006i | \(0.721746\pi\) | |||||||
\(692\) | 14.9992 | − | 29.2569i | 0.570182 | − | 1.11218i | ||||
\(693\) | 40.8749 | − | 58.7972i | 1.55271 | − | 2.23352i | ||||
\(694\) | −8.97854 | + | 24.6683i | −0.340821 | + | 0.936397i | ||||
\(695\) | 1.65131 | − | 1.06653i | 0.0626379 | − | 0.0404558i | ||||
\(696\) | 3.39995 | − | 13.8090i | 0.128875 | − | 0.523431i | ||||
\(697\) | 11.7762 | + | 4.96409i | 0.446056 | + | 0.188028i | ||||
\(698\) | −16.0573 | − | 7.73277i | −0.607776 | − | 0.292690i | ||||
\(699\) | −5.70865 | − | 42.8027i | −0.215921 | − | 1.61895i | ||||
\(700\) | −18.0261 | + | 42.7630i | −0.681323 | + | 1.61629i | ||||
\(701\) | −9.20252 | + | 8.53869i | −0.347575 | + | 0.322502i | −0.834569 | − | 0.550903i | \(-0.814284\pi\) |
0.486995 | + | 0.873405i | \(0.338093\pi\) | |||||||
\(702\) | −6.56677 | + | 6.07884i | −0.247847 | + | 0.229431i | ||||
\(703\) | −4.81286 | − | 1.75174i | −0.181520 | − | 0.0660680i | ||||
\(704\) | −11.7758 | + | 58.2515i | −0.443817 | + | 2.19543i | ||||
\(705\) | −0.347135 | − | 3.21204i | −0.0130739 | − | 0.120972i | ||||
\(706\) | −34.8351 | + | 35.7147i | −1.31104 | + | 1.34414i | ||||
\(707\) | −45.7686 | − | 5.73554i | −1.72130 | − | 0.215707i | ||||
\(708\) | 38.1122 | + | 15.7112i | 1.43234 | + | 0.590464i | ||||
\(709\) | 7.19869 | + | 10.0128i | 0.270353 | + | 0.376037i | 0.925045 | − | 0.379858i | \(-0.124027\pi\) |
−0.654692 | + | 0.755896i | \(0.727202\pi\) | |||||||
\(710\) | 15.2690 | + | 12.8122i | 0.573036 | + | 0.480834i | ||||
\(711\) | 44.8752 | + | 1.52732i | 1.68295 | + | 0.0572790i | ||||
\(712\) | −1.10250 | + | 3.57423i | −0.0413181 | + | 0.133950i | ||||
\(713\) | −17.1235 | − | 33.4007i | −0.641281 | − | 1.25086i | ||||
\(714\) | −32.2666 | − | 28.0238i | −1.20755 | − | 1.04877i | ||||
\(715\) | −0.621772 | + | 4.12519i | −0.0232530 | + | 0.154273i | ||||
\(716\) | −4.66761 | − | 23.0893i | −0.174437 | − | 0.862889i | ||||
\(717\) | 24.0438 | − | 7.62567i | 0.897934 | − | 0.284786i | ||||
\(718\) | −16.8344 | − | 7.59599i | −0.628256 | − | 0.283480i | ||||
\(719\) | 13.4441 | + | 31.8932i | 0.501380 | + | 1.18941i | 0.954566 | + | 0.297999i | \(0.0963191\pi\) |
−0.453186 | + | 0.891416i | \(0.649713\pi\) | |||||||
\(720\) | −3.56221 | + | 7.22822i | −0.132756 | + | 0.269380i | ||||
\(721\) | −23.8417 | − | 21.0404i | −0.887912 | − | 0.783587i | ||||
\(722\) | 18.9079 | − | 27.7328i | 0.703679 | − | 1.03211i | ||||
\(723\) | −23.8890 | − | 34.4492i | −0.888442 | − | 1.28118i | ||||
\(724\) | 14.8799 | + | 1.11510i | 0.553008 | + | 0.0414422i | ||||
\(725\) | 5.25744 | + | 29.8164i | 0.195256 | + | 1.10735i | ||||
\(726\) | −0.465692 | − | 58.7805i | −0.0172834 | − | 2.18155i | ||||
\(727\) | 5.22297 | + | 6.89528i | 0.193709 | + | 0.255732i | 0.883665 | − | 0.468120i | \(-0.155068\pi\) |
−0.689956 | + | 0.723852i | \(0.742370\pi\) | |||||||
\(728\) | −2.83475 | − | 2.90633i | −0.105063 | − | 0.107716i | ||||
\(729\) | 21.5605 | − | 16.2525i | 0.798539 | − | 0.601944i | ||||
\(730\) | −24.3146 | + | 19.3902i | −0.899922 | + | 0.717664i | ||||
\(731\) | −7.95424 | − | 9.01325i | −0.294198 | − | 0.333367i | ||||
\(732\) | −41.2405 | + | 35.1654i | −1.52429 | + | 1.29975i | ||||
\(733\) | 30.3012 | + | 22.9523i | 1.11920 | + | 0.847761i | 0.989606 | − | 0.143806i | \(-0.0459342\pi\) |
0.129594 | + | 0.991567i | \(0.458633\pi\) | |||||||
\(734\) | −6.40685 | − | 17.6027i | −0.236481 | − | 0.649726i | ||||
\(735\) | 16.1794 | + | 18.0433i | 0.596786 | + | 0.665537i | ||||
\(736\) | 32.3583 | − | 14.6006i | 1.19274 | − | 0.538186i | ||||
\(737\) | 26.3748 | + | 24.4723i | 0.971529 | + | 0.901448i | ||||
\(738\) | −26.9116 | − | 17.7300i | −0.990628 | − | 0.652650i | ||||
\(739\) | −39.8724 | − | 10.1527i | −1.46673 | − | 0.373475i | −0.572062 | − | 0.820210i | \(-0.693856\pi\) |
−0.894666 | + | 0.446735i | \(0.852587\pi\) | |||||||
\(740\) | −5.46115 | + | 4.58245i | −0.200756 | + | 0.168454i | ||||
\(741\) | −0.207538 | − | 2.50313i | −0.00762409 | − | 0.0919546i | ||||
\(742\) | −6.61480 | − | 11.4572i | −0.242837 | − | 0.420606i | ||||
\(743\) | 14.6667 | − | 25.4035i | 0.538069 | − | 0.931963i | −0.460939 | − | 0.887432i | \(-0.652487\pi\) |
0.999008 | − | 0.0445314i | \(-0.0141795\pi\) | |||||||
\(744\) | −6.76039 | + | 14.3274i | −0.247848 | + | 0.525266i | ||||
\(745\) | −0.960145 | + | 0.322592i | −0.0351770 | + | 0.0118188i | ||||
\(746\) | −9.07607 | − | 39.7648i | −0.332298 | − | 1.45589i | ||||
\(747\) | −4.70051 | − | 4.22483i | −0.171982 | − | 0.154578i | ||||
\(748\) | −32.8216 | − | 3.28430i | −1.20008 | − | 0.120086i | ||||
\(749\) | 1.12241 | − | 45.0072i | 0.0410120 | − | 1.64453i | ||||
\(750\) | −1.37867 | + | 32.8498i | −0.0503418 | + | 1.19951i | ||||
\(751\) | −3.42843 | − | 13.4643i | −0.125105 | − | 0.491319i | −0.999976 | − | 0.00696239i | \(-0.997784\pi\) |
0.874870 | − | 0.484357i | \(-0.160946\pi\) | |||||||
\(752\) | −5.08914 | + | 0.381378i | −0.185582 | + | 0.0139074i | ||||
\(753\) | −9.03003 | + | 7.31899i | −0.329073 | + | 0.266719i | ||||
\(754\) | −12.6504 | − | 2.88738i | −0.460702 | − | 0.105152i | ||||
\(755\) | 8.10261 | − | 13.2593i | 0.294884 | − | 0.482556i | ||||
\(756\) | 37.3614 | + | 46.9620i | 1.35882 | + | 1.70799i | ||||
\(757\) | 0.319235 | − | 0.813397i | 0.0116028 | − | 0.0295634i | −0.924955 | − | 0.380077i | \(-0.875898\pi\) |
0.936558 | + | 0.350513i | \(0.113993\pi\) | |||||||
\(758\) | −1.32021 | + | 1.65549i | −0.0479520 | + | 0.0601299i | ||||
\(759\) | −32.4759 | + | 23.7411i | −1.17880 | + | 0.861748i | ||||
\(760\) | 0.838041 | + | 1.74021i | 0.0303989 | + | 0.0631241i | ||||
\(761\) | 48.2507 | 1.74909 | 0.874543 | − | 0.484947i | \(-0.161161\pi\) | ||||
0.874543 | + | 0.484947i | \(0.161161\pi\) | |||||||
\(762\) | −8.20259 | + | 40.6467i | −0.297148 | + | 1.47248i | ||||
\(763\) | −21.9969 | −0.796342 | ||||||||
\(764\) | 5.55231 | + | 11.5295i | 0.200876 | + | 0.417123i | ||||
\(765\) | −7.03565 | − | 2.63343i | −0.254375 | − | 0.0952117i | ||||
\(766\) | 26.8214 | − | 33.6329i | 0.969095 | − | 1.21521i | ||||
\(767\) | 2.80500 | − | 7.14702i | 0.101283 | − | 0.258064i | ||||
\(768\) | 7.59887 | + | 4.06040i | 0.274201 | + | 0.146517i | ||||
\(769\) | −6.99175 | + | 11.4415i | −0.252129 | + | 0.412591i | −0.954042 | − | 0.299671i | \(-0.903123\pi\) |
0.701913 | + | 0.712262i | \(0.252329\pi\) | |||||||
\(770\) | 48.9838 | + | 11.1802i | 1.76525 | + | 0.402907i | ||||
\(771\) | 26.8626 | + | 33.1426i | 0.967433 | + | 1.19360i | ||||
\(772\) | 16.3900 | − | 1.22826i | 0.589888 | − | 0.0442060i | ||||
\(773\) | 3.38428 | + | 13.2909i | 0.121724 | + | 0.478041i | 1.00000 | 0.000113327i | \(-3.60730e-5\pi\) | |
−0.878276 | + | 0.478154i | \(0.841306\pi\) | |||||||
\(774\) | 15.5712 | + | 26.0094i | 0.559694 | + | 0.934890i | ||||
\(775\) | 0.840835 | − | 33.7164i | 0.0302037 | − | 1.21113i | ||||
\(776\) | 3.50373 | + | 0.350601i | 0.125777 | + | 0.0125858i | ||||
\(777\) | −5.79867 | − | 22.0411i | −0.208026 | − | 0.790720i | ||||
\(778\) | 2.75445 | + | 12.0680i | 0.0987518 | + | 0.432660i | ||||
\(779\) | 8.57470 | − | 2.88094i | 0.307220 | − | 0.103221i | ||||
\(780\) | −3.16179 | − | 1.49190i | −0.113210 | − | 0.0534185i | ||||
\(781\) | −24.5912 | + | 42.5931i | −0.879941 | + | 1.52410i | ||||
\(782\) | 12.0044 | + | 20.7922i | 0.429277 | + | 0.743529i | ||||
\(783\) | 37.0983 | + | 12.5125i | 1.32579 | + | 0.447161i | ||||
\(784\) | 29.3262 | − | 24.6076i | 1.04736 | − | 0.878841i | ||||
\(785\) | −5.50403 | − | 1.40150i | −0.196447 | − | 0.0500216i | ||||
\(786\) | −44.6516 | + | 19.2402i | −1.59267 | + | 0.686276i | ||||
\(787\) | 6.65729 | + | 6.17706i | 0.237307 | + | 0.220188i | 0.789857 | − | 0.613291i | \(-0.210155\pi\) |
−0.552550 | + | 0.833480i | \(0.686345\pi\) | |||||||
\(788\) | −6.79153 | + | 3.06446i | −0.241938 | + | 0.109167i | ||||
\(789\) | 4.49689 | − | 4.03234i | 0.160093 | − | 0.143555i | ||||
\(790\) | 10.7751 | + | 29.6043i | 0.383360 | + | 1.05327i | ||||
\(791\) | −54.5785 | − | 41.3416i | −1.94059 | − | 1.46994i | ||||
\(792\) | 16.3023 | + | 4.74706i | 0.579276 | + | 0.168679i | ||||
\(793\) | 6.67914 | + | 7.56839i | 0.237183 | + | 0.268761i | ||||
\(794\) | 10.0446 | − | 8.01033i | 0.356471 | − | 0.284276i | ||||
\(795\) | −1.79322 | − | 1.48064i | −0.0635991 | − | 0.0525130i | ||||
\(796\) | −39.2259 | − | 40.2163i | −1.39032 | − | 1.42543i | ||||
\(797\) | −2.50039 | − | 3.30098i | −0.0885685 | − | 0.116927i | 0.750701 | − | 0.660642i | \(-0.229716\pi\) |
−0.839270 | + | 0.543715i | \(0.817017\pi\) | |||||||
\(798\) | −30.2492 | + | 0.239651i | −1.07081 | + | 0.00848356i | ||||
\(799\) | −0.826156 | − | 4.68536i | −0.0292273 | − | 0.165756i | ||||
\(800\) | 31.8097 | + | 2.38380i | 1.12464 | + | 0.0842802i | ||||
\(801\) | −9.55093 | − | 3.84900i | −0.337465 | − | 0.135998i | ||||
\(802\) | 36.1279 | − | 52.9898i | 1.27572 | − | 1.87114i | ||||
\(803\) | −57.5361 | − | 50.7759i | −2.03040 | − | 1.79184i | ||||
\(804\) | −25.9922 | + | 15.2824i | −0.916673 | + | 0.538969i | ||||
\(805\) | −7.90987 | − | 18.7644i | −0.278786 | − | 0.661359i | ||||
\(806\) | 13.1754 | + | 5.94499i | 0.464085 | + | 0.209403i | ||||
\(807\) | 1.46479 | + | 4.61849i | 0.0515629 | + | 0.162579i | ||||
\(808\) | −2.16715 | − | 10.7203i | −0.0762402 | − | 0.377139i | ||||
\(809\) | 2.51678 | − | 16.6978i | 0.0884854 | − | 0.587062i | −0.900017 | − | 0.435855i | \(-0.856446\pi\) |
0.988502 | − | 0.151207i | \(-0.0483160\pi\) | |||||||
\(810\) | 16.2312 | + | 9.76871i | 0.570308 | + | 0.343237i | ||||
\(811\) | −18.6278 | − | 36.3349i | −0.654111 | − | 1.27589i | −0.947457 | − | 0.319885i | \(-0.896356\pi\) |
0.293345 | − | 0.956007i | \(-0.405231\pi\) | |||||||
\(812\) | −25.6494 | + | 83.1533i | −0.900117 | + | 2.91811i | ||||
\(813\) | −25.2599 | + | 35.7282i | −0.885903 | + | 1.25304i | ||||
\(814\) | −24.1998 | − | 20.3061i | −0.848204 | − | 0.711728i | ||||
\(815\) | 14.2393 | + | 19.8057i | 0.498781 | + | 0.693762i | ||||
\(816\) | −4.52271 | + | 10.9712i | −0.158327 | + | 0.384068i | ||||
\(817\) | −8.44278 | − | 1.05802i | −0.295375 | − | 0.0370153i | ||||
\(818\) | 29.2512 | − | 29.9897i | 1.02274 | − | 1.04857i | ||||
\(819\) | 8.62688 | − | 7.10621i | 0.301448 | − | 0.248311i | ||||
\(820\) | 2.49484 | − | 12.3413i | 0.0871235 | − | 0.430975i | ||||
\(821\) | 29.4498 | + | 10.7189i | 1.02781 | + | 0.374091i | 0.800245 | − | 0.599673i | \(-0.204703\pi\) |
0.227561 | + | 0.973764i | \(0.426925\pi\) | |||||||
\(822\) | 3.66713 | + | 1.61983i | 0.127906 | + | 0.0564980i | ||||
\(823\) | 9.93627 | − | 9.21951i | 0.346357 | − | 0.321372i | −0.487741 | − | 0.872988i | \(-0.662179\pi\) |
0.834098 | + | 0.551616i | \(0.185989\pi\) | |||||||
\(824\) | 2.92870 | − | 6.94769i | 0.102026 | − | 0.242034i | ||||
\(825\) | −35.8305 | + | 4.77876i | −1.24746 | + | 0.166375i | ||||
\(826\) | −83.3109 | − | 40.1204i | −2.89876 | − | 1.39597i | ||||
\(827\) | 35.2861 | + | 14.8744i | 1.22702 | + | 0.517232i | 0.903336 | − | 0.428934i | \(-0.141111\pi\) |
0.323683 | + | 0.946166i | \(0.395079\pi\) | |||||||
\(828\) | −11.2421 | − | 31.7831i | −0.390688 | − | 1.10454i | ||||
\(829\) | 28.7723 | − | 18.5831i | 0.999305 | − | 0.645419i | 0.0635160 | − | 0.997981i | \(-0.479769\pi\) |
0.935789 | + | 0.352561i | \(0.114689\pi\) | |||||||
\(830\) | 1.51666 | − | 4.16699i | 0.0526441 | − | 0.144638i | ||||
\(831\) | 1.37262 | − | 0.551304i | 0.0476158 | − | 0.0191245i | ||||
\(832\) | −4.23175 | + | 8.25433i | −0.146709 | + | 0.286167i | ||||
\(833\) | 25.5485 | + | 24.9193i | 0.885201 | + | 0.863401i | ||||
\(834\) | −6.55183 | + | 3.21938i | −0.226871 | + | 0.111478i | ||||
\(835\) | −15.1970 | + | 10.3611i | −0.525914 | + | 0.358562i | ||||
\(836\) | −18.9569 | + | 13.6291i | −0.655640 | + | 0.471373i | ||||
\(837\) | −37.7450 | − | 21.8508i | −1.30466 | − | 0.755275i | ||||
\(838\) | 22.2034 | + | 56.5733i | 0.767003 | + | 1.95429i | ||||
\(839\) | −19.8597 | − | 6.12589i | −0.685632 | − | 0.211489i | −0.0676819 | − | 0.997707i | \(-0.521560\pi\) |
−0.617950 | + | 0.786218i | \(0.712036\pi\) | |||||||
\(840\) | −4.23834 | + | 7.47720i | −0.146237 | + | 0.257988i | ||||
\(841\) | 7.52182 | + | 26.7341i | 0.259373 | + | 0.921867i | ||||
\(842\) | −8.49196 | − | 1.27996i | −0.292652 | − | 0.0441103i | ||||
\(843\) | 18.3879 | + | 18.5557i | 0.633312 | + | 0.639094i | ||||
\(844\) | −1.32996 | + | 4.72694i | −0.0457789 | + | 0.162708i | ||||
\(845\) | 5.02993 | − | 11.1475i | 0.173035 | − | 0.383485i | ||||
\(846\) | −0.109038 | + | 11.9970i | −0.00374880 | + | 0.412466i | ||||
\(847\) | −3.65971 | + | 73.3292i | −0.125749 | + | 2.51962i | ||||
\(848\) | −2.43068 | + | 2.75429i | −0.0834697 | + | 0.0945827i | ||||
\(849\) | −36.5436 | − | 0.621699i | −1.25417 | − | 0.0213367i | ||||
\(850\) | 0.537841 | + | 21.5667i | 0.0184478 | + | 0.739733i | ||||
\(851\) | −0.956810 | + | 12.7677i | −0.0327990 | + | 0.437672i | ||||
\(852\) | −28.2728 | − | 29.9907i | −0.968610 | − | 1.02747i | ||||
\(853\) | 20.9996 | + | 13.5629i | 0.719011 | + | 0.464386i | 0.849855 | − | 0.527016i | \(-0.176689\pi\) |
−0.130844 | + | 0.991403i | \(0.541769\pi\) | |||||||
\(854\) | 96.9074 | − | 73.4045i | 3.31610 | − | 2.51185i | ||||
\(855\) | −4.96726 | + | 1.89759i | −0.169877 | + | 0.0648963i | ||||
\(856\) | 10.2008 | − | 3.14653i | 0.348656 | − | 0.107546i | ||||
\(857\) | −8.02848 | − | 10.0674i | −0.274248 | − | 0.343896i | 0.625565 | − | 0.780172i | \(-0.284868\pi\) |
−0.899813 | + | 0.436276i | \(0.856297\pi\) | |||||||
\(858\) | 4.07762 | − | 14.9459i | 0.139208 | − | 0.510244i | ||||
\(859\) | 3.68762 | − | 0.462119i | 0.125820 | − | 0.0157673i | −0.0611836 | − | 0.998127i | \(-0.519488\pi\) |
0.187003 | + | 0.982359i | \(0.440122\pi\) | |||||||
\(860\) | −7.15119 | + | 9.44088i | −0.243854 | + | 0.321931i | ||||
\(861\) | 32.2780 | + | 24.0496i | 1.10003 | + | 0.819608i | ||||
\(862\) | 76.5282 | − | 11.5348i | 2.60656 | − | 0.392876i | ||||
\(863\) | −6.39781 | − | 14.1790i | −0.217784 | − | 0.482659i | 0.770086 | − | 0.637940i | \(-0.220213\pi\) |
−0.987870 | + | 0.155281i | \(0.950372\pi\) | |||||||
\(864\) | 22.4203 | − | 34.6247i | 0.762753 | − | 1.17796i | ||||
\(865\) | −2.25106 | + | 12.7664i | −0.0765385 | + | 0.434071i | ||||
\(866\) | 2.31389 | − | 9.08723i | 0.0786293 | − | 0.308797i | ||||
\(867\) | 17.6078 | + | 5.27888i | 0.597991 | + | 0.179280i | ||||
\(868\) | 46.3603 | − | 85.1318i | 1.57357 | − | 2.88956i | ||||
\(869\) | −67.3212 | + | 38.8679i | −2.28371 | + | 1.31850i | ||||
\(870\) | 1.58659 | + | 27.4243i | 0.0537903 | + | 0.929771i | ||||
\(871\) | 2.92823 | + | 4.79184i | 0.0992193 | + | 0.162365i | ||||
\(872\) | −1.66114 | − | 4.94414i | −0.0562533 | − | 0.167430i | ||||
\(873\) | −1.77003 | + | 9.53097i | −0.0599064 | + | 0.322575i | ||||
\(874\) | 16.1090 | + | 5.41233i | 0.544894 | + | 0.183075i | ||||
\(875\) | 4.08889 | − | 40.8623i | 0.138230 | − | 1.38140i | ||||
\(876\) | 54.6063 | − | 33.9663i | 1.84498 | − | 1.14761i | ||||
\(877\) | 10.0325 | − | 13.9544i | 0.338774 | − | 0.471206i | −0.607617 | − | 0.794230i | \(-0.707874\pi\) |
0.946391 | + | 0.323025i | \(0.104700\pi\) | |||||||
\(878\) | 8.24566 | − | 2.09960i | 0.278278 | − | 0.0708582i | ||||
\(879\) | −9.12000 | + | 7.02252i | −0.307610 | + | 0.236864i | ||||
\(880\) | −1.38908 | − | 13.8818i | −0.0468259 | − | 0.467954i | ||||
\(881\) | −2.73501 | + | 11.9829i | −0.0921449 | + | 0.403713i | −0.999874 | − | 0.0158426i | \(-0.994957\pi\) |
0.907730 | + | 0.419556i | \(0.137814\pi\) | |||||||
\(882\) | −51.8694 | − | 73.5471i | −1.74653 | − | 2.47646i | ||||
\(883\) | −27.3830 | + | 14.9120i | −0.921511 | + | 0.501828i | −0.867903 | − | 0.496734i | \(-0.834533\pi\) |
−0.0536084 | + | 0.998562i | \(0.517072\pi\) | |||||||
\(884\) | −4.79252 | − | 1.88093i | −0.161190 | − | 0.0632624i | ||||
\(885\) | −16.1856 | − | 1.49020i | −0.544073 | − | 0.0500926i | ||||
\(886\) | 2.09769 | − | 0.104691i | 0.0704733 | − | 0.00351718i | ||||
\(887\) | −6.46066 | + | 3.11129i | −0.216928 | + | 0.104467i | −0.539192 | − | 0.842183i | \(-0.681270\pi\) |
0.322264 | + | 0.946650i | \(0.395556\pi\) | |||||||
\(888\) | 4.51616 | − | 2.96781i | 0.151553 | − | 0.0995933i | ||||
\(889\) | 13.1604 | − | 50.0922i | 0.441384 | − | 1.68004i | ||||
\(890\) | − | 7.22497i | − | 0.242182i | ||||||
\(891\) | −16.7832 | + | 43.6273i | −0.562258 | + | 1.46157i | ||||
\(892\) | 1.09332 | + | 21.9067i | 0.0366070 | + | 0.733490i | ||||
\(893\) | −2.63286 | − | 2.09963i | −0.0881052 | − | 0.0702615i | ||||
\(894\) | 3.68082 | − | 0.774495i | 0.123105 | − | 0.0259030i | ||||
\(895\) | 4.44205 | + | 8.15698i | 0.148481 | + | 0.272658i | ||||
\(896\) | 33.0628 | + | 20.2043i | 1.10455 | + | 0.674977i | ||||
\(897\) | −5.88303 | + | 2.19418i | −0.196429 | + | 0.0732617i | ||||
\(898\) | 27.4548 | − | 2.74727i | 0.916179 | − | 0.0916775i | ||||
\(899\) | −4.72610 | − | 63.0655i | −0.157624 | − | 2.10335i | ||||
\(900\) | 4.78700 | − | 29.9125i | 0.159567 | − | 0.997082i | ||||
\(901\) | −2.78054 | − | 1.99907i | −0.0926332 | − | 0.0665988i | ||||
\(902\) | 55.7763 | + | 1.39097i | 1.85715 | + | 0.0463144i | ||||
\(903\) | −17.5400 | − | 33.5555i | −0.583694 | − | 1.11666i | ||||
\(904\) | 5.17054 | − | 15.3893i | 0.171969 | − | 0.511841i | ||||
\(905\) | −5.73595 | + | 1.30919i | −0.190670 | + | 0.0435191i | ||||
\(906\) | −35.6200 | + | 45.3993i | −1.18339 | + | 1.50829i | ||||
\(907\) | 16.1130 | − | 9.84645i | 0.535023 | − | 0.326946i | −0.227636 | − | 0.973746i | \(-0.573100\pi\) |
0.762659 | + | 0.646800i | \(0.223893\pi\) | |||||||
\(908\) | −26.3239 | − | 15.1981i | −0.873588 | − | 0.504366i | ||||
\(909\) | 29.9091 | − | 3.47230i | 0.992021 | − | 0.115169i | ||||
\(910\) | 6.88706 | + | 3.75049i | 0.228304 | + | 0.124328i | ||||
\(911\) | −32.7548 | − | 39.0356i | −1.08521 | − | 1.29331i | −0.953293 | − | 0.302048i | \(-0.902330\pi\) |
−0.131922 | − | 0.991260i | \(-0.542115\pi\) | |||||||
\(912\) | 2.73814 | + | 7.94073i | 0.0906690 | + | 0.262944i | ||||
\(913\) | 10.7756 | + | 1.90003i | 0.356620 | + | 0.0628817i | ||||
\(914\) | −7.73930 | + | 8.34098i | −0.255993 | + | 0.275895i | ||||
\(915\) | 11.4514 | − | 18.0423i | 0.378572 | − | 0.596460i | ||||
\(916\) | −5.06887 | − | 33.6298i | −0.167480 | − | 1.11116i | ||||
\(917\) | 57.0658 | − | 20.7702i | 1.88448 | − | 0.685894i | ||||
\(918\) | 24.8103 | + | 12.7561i | 0.818863 | + | 0.421013i | ||||
\(919\) | 2.82828 | + | 22.5692i | 0.0932965 | + | 0.744488i | 0.966416 | + | 0.256982i | \(0.0827282\pi\) |
−0.873120 | + | 0.487506i | \(0.837907\pi\) | |||||||
\(920\) | 3.62026 | − | 3.19489i | 0.119356 | − | 0.105333i | ||||
\(921\) | −49.3801 | − | 16.1566i | −1.62713 | − | 0.532379i | ||||
\(922\) | 9.94697 | + | 32.2473i | 0.327586 | + | 1.06201i | ||||
\(923\) | −5.49530 | + | 5.35996i | −0.180880 | + | 0.176425i | ||||
\(924\) | −97.9076 | − | 34.7595i | −3.22092 | − | 1.14350i | ||||
\(925\) | −6.24188 | + | 9.66433i | −0.205232 | + | 0.317761i | ||||
\(926\) | −71.3633 | + | 12.5833i | −2.34514 | + | 0.413512i | ||||
\(927\) | 18.3841 | + | 9.63699i | 0.603814 | + | 0.316520i | ||||
\(928\) | 59.7959 | − | 1.49122i | 1.96290 | − | 0.0489516i | ||||
\(929\) | −0.874199 | − | 0.596018i | −0.0286815 | − | 0.0195547i | 0.548894 | − | 0.835892i | \(-0.315049\pi\) |
−0.577576 | + | 0.816337i | \(0.696001\pi\) | |||||||
\(930\) | 4.32095 | − | 30.2942i | 0.141690 | − | 0.993387i | ||||
\(931\) | 25.2298 | + | 1.25917i | 0.826874 | + | 0.0412676i | ||||
\(932\) | −57.7311 | + | 24.3357i | −1.89104 | + | 0.797142i | ||||
\(933\) | 11.5875 | − | 1.84054i | 0.379359 | − | 0.0602566i | ||||
\(934\) | 46.9150 | + | 13.1998i | 1.53511 | + | 0.431912i | ||||
\(935\) | 12.7480 | − | 2.57706i | 0.416904 | − | 0.0842790i | ||||
\(936\) | 2.24870 | + | 1.40238i | 0.0735011 | + | 0.0458382i | ||||
\(937\) | −4.86918 | + | 1.36997i | −0.159069 | + | 0.0447551i | −0.349449 | − | 0.936955i | \(-0.613631\pi\) |
0.190380 | + | 0.981710i | \(0.439028\pi\) | |||||||
\(938\) | 60.1853 | − | 30.8552i | 1.96512 | − | 1.00746i | ||||
\(939\) | 10.6042 | − | 3.07444i | 0.346056 | − | 0.100330i | ||||
\(940\) | −4.36333 | + | 1.71248i | −0.142316 | + | 0.0558549i | ||||
\(941\) | 6.31318 | − | 7.52376i | 0.205804 | − | 0.245267i | −0.653263 | − | 0.757131i | \(-0.726600\pi\) |
0.859067 | + | 0.511864i | \(0.171045\pi\) | |||||||
\(942\) | 19.6942 | + | 7.54988i | 0.641670 | + | 0.245988i | ||||
\(943\) | −12.7383 | − | 18.6837i | −0.414816 | − | 0.608424i | ||||
\(944\) | −3.19260 | + | 25.4763i | −0.103910 | + | 0.829184i | ||||
\(945\) | −19.5347 | − | 13.3519i | −0.635462 | − | 0.434337i | ||||
\(946\) | −46.7022 | − | 23.9428i | −1.51842 | − | 0.778449i | ||||
\(947\) | 7.36479 | + | 1.48882i | 0.239323 | + | 0.0483803i | 0.316326 | − | 0.948651i | \(-0.397551\pi\) |
−0.0770023 | + | 0.997031i | \(0.524535\pi\) | |||||||
\(948\) | −14.9989 | − | 63.3950i | −0.487141 | − | 2.05898i | ||||
\(949\) | −6.49819 | − | 10.0612i | −0.210940 | − | 0.326599i | ||||
\(950\) | 10.3863 | + | 11.1938i | 0.336976 | + | 0.363174i | ||||
\(951\) | −10.0416 | − | 54.4237i | −0.325620 | − | 1.76481i | ||||
\(952\) | −5.49166 | + | 11.4035i | −0.177986 | + | 0.369591i | ||||
\(953\) | 12.2060 | − | 25.3461i | 0.395392 | − | 0.821041i | −0.604312 | − | 0.796747i | \(-0.706552\pi\) |
0.999705 | − | 0.0242934i | \(-0.00773359\pi\) | |||||||
\(954\) | 5.97345 | + | 6.23668i | 0.193397 | + | 0.201920i | ||||
\(955\) | −3.43191 | − | 3.69872i | −0.111054 | − | 0.119688i | ||||
\(956\) | −19.8554 | − | 30.7421i | −0.642169 | − | 0.994272i | ||||
\(957\) | −65.9608 | + | 15.6059i | −2.13221 | + | 0.504468i | ||||
\(958\) | −72.5909 | − | 14.6746i | −2.34530 | − | 0.474114i | ||||
\(959\) | −4.45583 | − | 2.28437i | −0.143886 | − | 0.0737662i | ||||
\(960\) | 19.2782 | + | 3.73845i | 0.622200 | + | 0.120658i | ||||
\(961\) | −4.90534 | + | 39.1437i | −0.158237 | + | 1.26270i | ||||
\(962\) | −2.77756 | − | 4.07393i | −0.0895522 | − | 0.131349i | ||||
\(963\) | 6.27888 | + | 28.7099i | 0.202334 | + | 0.925162i | ||||
\(964\) | −39.0960 | + | 46.5928i | −1.25920 | + | 1.50065i | ||||
\(965\) | −6.03255 | + | 2.36760i | −0.194195 | + | 0.0762158i | ||||
\(966\) | 21.0572 | + | 72.6298i | 0.677505 | + | 2.33683i | ||||
\(967\) | −4.96800 | + | 2.54695i | −0.159760 | + | 0.0819043i | −0.534249 | − | 0.845327i | \(-0.679406\pi\) |
0.374489 | + | 0.927231i | \(0.377818\pi\) | |||||||
\(968\) | −16.7582 | + | 4.71503i | −0.538629 | + | 0.151547i | ||||
\(969\) | −7.11178 | + | 3.27702i | −0.228463 | + | 0.105273i | ||||
\(970\) | −6.66675 | + | 1.34771i | −0.214056 | + | 0.0432724i | ||||
\(971\) | −48.8890 | − | 13.7552i | −1.56892 | − | 0.441426i | −0.627489 | − | 0.778626i | \(-0.715917\pi\) |
−0.941433 | + | 0.337199i | \(0.890520\pi\) | |||||||
\(972\) | −30.9820 | − | 23.9719i | −0.993749 | − | 0.768899i | ||||
\(973\) | 8.40197 | − | 3.54173i | 0.269355 | − | 0.113543i | ||||
\(974\) | 8.00893 | + | 0.399709i | 0.256623 | + | 0.0128075i | ||||
\(975\) | −5.58545 | − | 0.796669i | −0.178878 | − | 0.0255138i | ||||
\(976\) | −27.8908 | − | 19.0156i | −0.892762 | − | 0.608675i | ||||
\(977\) | −14.6331 | + | 0.364926i | −0.468154 | + | 0.0116750i | −0.258314 | − | 0.966061i | \(-0.583167\pi\) |
−0.209839 | + | 0.977736i | \(0.567294\pi\) | |||||||
\(978\) | −43.9515 | − | 79.2079i | −1.40541 | − | 2.53279i | ||||
\(979\) | 17.5566 | − | 3.09570i | 0.561111 | − | 0.0989390i | ||||
\(980\) | 19.0767 | − | 29.5366i | 0.609384 | − | 0.943511i | ||||
\(981\) | 13.9465 | − | 3.41656i | 0.445278 | − | 0.109082i | ||||
\(982\) | 7.38264 | − | 7.20083i | 0.235590 | − | 0.229788i | ||||
\(983\) | −3.39712 | − | 11.0132i | −0.108351 | − | 0.351266i | 0.885118 | − | 0.465367i | \(-0.154078\pi\) |
−0.993469 | + | 0.114101i | \(0.963601\pi\) | |||||||
\(984\) | −2.96797 | + | 9.07112i | −0.0946153 | + | 0.289177i | ||||
\(985\) | 2.20272 | − | 1.94391i | 0.0701845 | − | 0.0619382i | ||||
\(986\) | 5.03008 | + | 40.1391i | 0.160190 | + | 1.27829i | ||||
\(987\) | 1.00142 | − | 14.9517i | 0.0318757 | − | 0.475917i | ||||
\(988\) | −3.42437 | + | 1.24637i | −0.108944 | + | 0.0396523i | ||||
\(989\) | 3.17023 | + | 21.0331i | 0.100808 | + | 0.668814i | ||||
\(990\) | −32.7932 | + | 0.519645i | −1.04224 | + | 0.0165154i | ||||
\(991\) | 16.4740 | − | 17.7547i | 0.523312 | − | 0.563997i | −0.414984 | − | 0.909829i | \(-0.636213\pi\) |
0.938296 | + | 0.345832i | \(0.112403\pi\) | |||||||
\(992\) | −65.6191 | − | 11.5704i | −2.08341 | − | 0.367361i | ||||
\(993\) | −36.8008 | + | 12.6897i | −1.16784 | + | 0.402697i | ||||
\(994\) | 59.4271 | + | 70.8224i | 1.88491 | + | 2.24635i | ||||
\(995\) | 19.4532 | + | 10.5936i | 0.616707 | + | 0.335841i | ||||
\(996\) | −4.11850 | + | 8.19266i | −0.130500 | + | 0.259594i | ||||
\(997\) | −16.9271 | − | 9.77284i | −0.536085 | − | 0.309509i | 0.207406 | − | 0.978255i | \(-0.433498\pi\) |
−0.743491 | + | 0.668746i | \(0.766831\pi\) | |||||||
\(998\) | −31.9819 | + | 19.5438i | −1.01237 | + | 0.618647i | ||||
\(999\) | 7.09989 | + | 13.0739i | 0.224631 | + | 0.413639i |
(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 | 381.2.x.b.14.7 | ✓ | 1440 | |
3.2 | odd | 2 | inner | 381.2.x.b.14.34 | yes | 1440 | |
127.118 | odd | 126 | inner | 381.2.x.b.245.34 | yes | 1440 | |
381.245 | even | 126 | inner | 381.2.x.b.245.7 | yes | 1440 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
381.2.x.b.14.7 | ✓ | 1440 | 1.1 | even | 1 | trivial | |
381.2.x.b.14.34 | yes | 1440 | 3.2 | odd | 2 | inner | |
381.2.x.b.245.7 | yes | 1440 | 381.245 | even | 126 | inner | |
381.2.x.b.245.34 | yes | 1440 | 127.118 | odd | 126 | inner |