Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,2,Mod(267,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.267");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.k (of order \(4\), degree \(2\), 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: | \(3.03431527681\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(26\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 343.9 | ||
Character | \(\chi\) | \(=\) | 380.343 |
Dual form | 380.2.k.d.267.9 |
$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.615749 | − | 1.27313i | −0.435400 | − | 0.900237i | ||||
\(3\) | 1.93808 | − | 1.93808i | 1.11895 | − | 1.11895i | 0.127054 | − | 0.991896i | \(-0.459448\pi\) |
0.991896 | − | 0.127054i | \(-0.0405522\pi\) | |||||||
\(4\) | −1.24171 | + | 1.56785i | −0.620853 | + | 0.783927i | ||||
\(5\) | −0.168423 | + | 2.22972i | −0.0753213 | + | 0.997159i | ||||
\(6\) | −3.66079 | − | 1.27405i | −1.49451 | − | 0.520129i | ||||
\(7\) | 2.91797 | + | 2.91797i | 1.10289 | + | 1.10289i | 0.994061 | + | 0.108828i | \(0.0347098\pi\) |
0.108828 | + | 0.994061i | \(0.465290\pi\) | |||||||
\(8\) | 2.76066 | + | 0.615446i | 0.976040 | + | 0.217593i | ||||
\(9\) | − | 4.51229i | − | 1.50410i | ||||||
\(10\) | 2.94242 | − | 1.15852i | 0.930475 | − | 0.366357i | ||||
\(11\) | − | 3.32134i | − | 1.00142i | −0.865614 | − | 0.500711i | \(-0.833072\pi\) | ||
0.865614 | − | 0.500711i | \(-0.166928\pi\) | |||||||
\(12\) | 0.632099 | + | 5.44515i | 0.182471 | + | 1.57188i | ||||
\(13\) | −0.313990 | − | 0.313990i | −0.0870851 | − | 0.0870851i | 0.662222 | − | 0.749307i | \(-0.269613\pi\) |
−0.749307 | + | 0.662222i | \(0.769613\pi\) | |||||||
\(14\) | 1.91821 | − | 5.51168i | 0.512663 | − | 1.47306i | ||||
\(15\) | 3.99495 | + | 4.64778i | 1.03149 | + | 1.20005i | ||||
\(16\) | −0.916331 | − | 3.89363i | −0.229083 | − | 0.973407i | ||||
\(17\) | 3.64947 | − | 3.64947i | 0.885127 | − | 0.885127i | −0.108923 | − | 0.994050i | \(-0.534740\pi\) |
0.994050 | + | 0.108923i | \(0.0347403\pi\) | |||||||
\(18\) | −5.74472 | + | 2.77844i | −1.35404 | + | 0.654885i | ||||
\(19\) | −1.00000 | −0.229416 | ||||||||
\(20\) | −3.28674 | − | 3.03272i | −0.734937 | − | 0.678136i | ||||
\(21\) | 11.3105 | 2.46815 | ||||||||
\(22\) | −4.22849 | + | 2.04511i | −0.901518 | + | 0.436020i | ||||
\(23\) | 2.24564 | − | 2.24564i | 0.468249 | − | 0.468249i | −0.433098 | − | 0.901347i | \(-0.642580\pi\) |
0.901347 | + | 0.433098i | \(0.142580\pi\) | |||||||
\(24\) | 6.54315 | − | 4.15759i | 1.33561 | − | 0.848664i | ||||
\(25\) | −4.94327 | − | 0.751073i | −0.988653 | − | 0.150215i | ||||
\(26\) | −0.206410 | + | 0.593088i | −0.0404803 | + | 0.116314i | ||||
\(27\) | −2.93094 | − | 2.93094i | −0.564060 | − | 0.564060i | ||||
\(28\) | −8.19821 | + | 0.951689i | −1.54932 | + | 0.179852i | ||||
\(29\) | 8.34169i | 1.54901i | 0.632566 | + | 0.774506i | \(0.282002\pi\) | ||||
−0.632566 | + | 0.774506i | \(0.717998\pi\) | |||||||
\(30\) | 3.45733 | − | 7.94794i | 0.631220 | − | 1.45109i | ||||
\(31\) | − | 0.286602i | − | 0.0514753i | −0.999669 | − | 0.0257376i | \(-0.991807\pi\) | ||
0.999669 | − | 0.0257376i | \(-0.00819345\pi\) | |||||||
\(32\) | −4.39285 | + | 3.56410i | −0.776554 | + | 0.630050i | ||||
\(33\) | −6.43702 | − | 6.43702i | −1.12054 | − | 1.12054i | ||||
\(34\) | −6.89340 | − | 2.39908i | −1.18221 | − | 0.411439i | ||||
\(35\) | −6.99770 | + | 6.01479i | −1.18283 | + | 1.01668i | ||||
\(36\) | 7.07462 | + | 5.60294i | 1.17910 | + | 0.933824i | ||||
\(37\) | −6.20546 | + | 6.20546i | −1.02017 | + | 1.02017i | −0.0203790 | + | 0.999792i | \(0.506487\pi\) |
−0.999792 | + | 0.0203790i | \(0.993513\pi\) | |||||||
\(38\) | 0.615749 | + | 1.27313i | 0.0998877 | + | 0.206529i | ||||
\(39\) | −1.21707 | −0.194888 | ||||||||
\(40\) | −1.83723 | + | 6.05183i | −0.290491 | + | 0.956878i | ||||
\(41\) | 4.08205 | 0.637509 | 0.318754 | − | 0.947837i | \(-0.396735\pi\) | ||||
0.318754 | + | 0.947837i | \(0.396735\pi\) | |||||||
\(42\) | −6.96443 | − | 14.3997i | −1.07464 | − | 2.22192i | ||||
\(43\) | −1.71974 | + | 1.71974i | −0.262258 | + | 0.262258i | −0.825971 | − | 0.563713i | \(-0.809372\pi\) |
0.563713 | + | 0.825971i | \(0.309372\pi\) | |||||||
\(44\) | 5.20738 | + | 4.12413i | 0.785042 | + | 0.621736i | ||||
\(45\) | 10.0611 | + | 0.759976i | 1.49983 | + | 0.113291i | ||||
\(46\) | −4.24174 | − | 1.47624i | −0.625411 | − | 0.217659i | ||||
\(47\) | −8.21884 | − | 8.21884i | −1.19884 | − | 1.19884i | −0.974514 | − | 0.224328i | \(-0.927981\pi\) |
−0.224328 | − | 0.974514i | \(-0.572019\pi\) | |||||||
\(48\) | −9.32208 | − | 5.77023i | −1.34553 | − | 0.832861i | ||||
\(49\) | 10.0291i | 1.43273i | ||||||||
\(50\) | 2.08760 | + | 6.75588i | 0.295231 | + | 0.955426i | ||||
\(51\) | − | 14.1459i | − | 1.98082i | ||||||
\(52\) | 0.882173 | − | 0.102407i | 0.122335 | − | 0.0142013i | ||||
\(53\) | 0.195783 | + | 0.195783i | 0.0268928 | + | 0.0268928i | 0.720425 | − | 0.693533i | \(-0.243947\pi\) |
−0.693533 | + | 0.720425i | \(0.743947\pi\) | |||||||
\(54\) | −1.92674 | + | 5.53619i | −0.262196 | + | 0.753380i | ||||
\(55\) | 7.40565 | + | 0.559392i | 0.998578 | + | 0.0754284i | ||||
\(56\) | 6.25966 | + | 9.85136i | 0.836482 | + | 1.31644i | ||||
\(57\) | −1.93808 | + | 1.93808i | −0.256705 | + | 0.256705i | ||||
\(58\) | 10.6200 | − | 5.13639i | 1.39448 | − | 0.674441i | ||||
\(59\) | −1.88043 | −0.244811 | −0.122405 | − | 0.992480i | \(-0.539061\pi\) | ||||
−0.122405 | + | 0.992480i | \(0.539061\pi\) | |||||||
\(60\) | −12.2476 | + | 0.492312i | −1.58116 | + | 0.0635572i | ||||
\(61\) | 6.98686 | 0.894576 | 0.447288 | − | 0.894390i | \(-0.352390\pi\) | ||||
0.447288 | + | 0.894390i | \(0.352390\pi\) | |||||||
\(62\) | −0.364881 | + | 0.176475i | −0.0463399 | + | 0.0224123i | ||||
\(63\) | 13.1667 | − | 13.1667i | 1.65885 | − | 1.65885i | ||||
\(64\) | 7.24245 | + | 3.39807i | 0.905307 | + | 0.424759i | ||||
\(65\) | 0.752991 | − | 0.647225i | 0.0933970 | − | 0.0802783i | ||||
\(66\) | −4.23156 | + | 12.1587i | −0.520869 | + | 1.49664i | ||||
\(67\) | 0.844003 | + | 0.844003i | 0.103111 | + | 0.103111i | 0.756780 | − | 0.653669i | \(-0.226771\pi\) |
−0.653669 | + | 0.756780i | \(0.726771\pi\) | |||||||
\(68\) | 1.19027 | + | 10.2534i | 0.144341 | + | 1.24341i | ||||
\(69\) | − | 8.70446i | − | 1.04789i | ||||||
\(70\) | 11.9664 | + | 5.20536i | 1.43026 | + | 0.622159i | ||||
\(71\) | − | 6.69878i | − | 0.794999i | −0.917602 | − | 0.397499i | \(-0.869878\pi\) | ||
0.917602 | − | 0.397499i | \(-0.130122\pi\) | |||||||
\(72\) | 2.77707 | − | 12.4569i | 0.327281 | − | 1.46806i | ||||
\(73\) | −6.74894 | − | 6.74894i | −0.789903 | − | 0.789903i | 0.191575 | − | 0.981478i | \(-0.438641\pi\) |
−0.981478 | + | 0.191575i | \(0.938641\pi\) | |||||||
\(74\) | 11.7213 | + | 4.07933i | 1.36258 | + | 0.474213i | ||||
\(75\) | −11.0361 | + | 8.12480i | −1.27434 | + | 0.938171i | ||||
\(76\) | 1.24171 | − | 1.56785i | 0.142433 | − | 0.179845i | ||||
\(77\) | 9.69158 | − | 9.69158i | 1.10446 | − | 1.10446i | ||||
\(78\) | 0.749411 | + | 1.54949i | 0.0848541 | + | 0.175445i | ||||
\(79\) | −16.9538 | −1.90745 | −0.953726 | − | 0.300678i | \(-0.902787\pi\) | ||||
−0.953726 | + | 0.300678i | \(0.902787\pi\) | |||||||
\(80\) | 8.83602 | − | 1.38738i | 0.987897 | − | 0.155114i | ||||
\(81\) | 2.17609 | 0.241788 | ||||||||
\(82\) | −2.51352 | − | 5.19697i | −0.277572 | − | 0.573909i | ||||
\(83\) | −4.69046 | + | 4.69046i | −0.514845 | + | 0.514845i | −0.916007 | − | 0.401162i | \(-0.868606\pi\) |
0.401162 | + | 0.916007i | \(0.368606\pi\) | |||||||
\(84\) | −14.0443 | + | 17.7332i | −1.53236 | + | 1.93485i | ||||
\(85\) | 7.52263 | + | 8.75194i | 0.815944 | + | 0.949281i | ||||
\(86\) | 3.24838 | + | 1.13052i | 0.350282 | + | 0.121907i | ||||
\(87\) | 16.1668 | + | 16.1668i | 1.73327 | + | 1.73327i | ||||
\(88\) | 2.04411 | − | 9.16909i | 0.217903 | − | 0.977428i | ||||
\(89\) | − | 9.12769i | − | 0.967533i | −0.875197 | − | 0.483767i | \(-0.839268\pi\) | ||
0.875197 | − | 0.483767i | \(-0.160732\pi\) | |||||||
\(90\) | −5.22759 | − | 13.2771i | −0.551036 | − | 1.39952i | ||||
\(91\) | − | 1.83242i | − | 0.192090i | ||||||
\(92\) | 0.732411 | + | 6.30927i | 0.0763591 | + | 0.657787i | ||||
\(93\) | −0.555457 | − | 0.555457i | −0.0575982 | − | 0.0575982i | ||||
\(94\) | −5.40289 | + | 15.5244i | −0.557265 | + | 1.60122i | ||||
\(95\) | 0.168423 | − | 2.22972i | 0.0172799 | − | 0.228764i | ||||
\(96\) | −1.60618 | + | 15.4212i | −0.163930 | + | 1.57392i | ||||
\(97\) | −5.27833 | + | 5.27833i | −0.535933 | + | 0.535933i | −0.922332 | − | 0.386399i | \(-0.873719\pi\) |
0.386399 | + | 0.922332i | \(0.373719\pi\) | |||||||
\(98\) | 12.7683 | − | 6.17540i | 1.28979 | − | 0.623810i | ||||
\(99\) | −14.9869 | −1.50624 | ||||||||
\(100\) | 7.31566 | − | 6.81771i | 0.731566 | − | 0.681771i | ||||
\(101\) | −8.19646 | −0.815578 | −0.407789 | − | 0.913076i | \(-0.633700\pi\) | ||||
−0.407789 | + | 0.913076i | \(0.633700\pi\) | |||||||
\(102\) | −18.0096 | + | 8.71034i | −1.78321 | + | 0.862452i | ||||
\(103\) | −13.2230 | + | 13.2230i | −1.30290 | + | 1.30290i | −0.376479 | + | 0.926425i | \(0.622865\pi\) |
−0.926425 | + | 0.376479i | \(0.877135\pi\) | |||||||
\(104\) | −0.673574 | − | 1.06006i | −0.0660494 | − | 0.103948i | ||||
\(105\) | −1.90495 | + | 25.2192i | −0.185904 | + | 2.46114i | ||||
\(106\) | 0.128703 | − | 0.369809i | 0.0125008 | − | 0.0359191i | ||||
\(107\) | 8.88416 | + | 8.88416i | 0.858864 | + | 0.858864i | 0.991204 | − | 0.132340i | \(-0.0422492\pi\) |
−0.132340 | + | 0.991204i | \(0.542249\pi\) | |||||||
\(108\) | 8.23466 | − | 0.955920i | 0.792380 | − | 0.0919834i | ||||
\(109\) | 5.88513i | 0.563694i | 0.959459 | + | 0.281847i | \(0.0909470\pi\) | ||||
−0.959459 | + | 0.281847i | \(0.909053\pi\) | |||||||
\(110\) | −3.84785 | − | 9.77278i | −0.366878 | − | 0.931798i | ||||
\(111\) | 24.0533i | 2.28304i | ||||||||
\(112\) | 8.68766 | − | 14.0353i | 0.820907 | − | 1.32621i | ||||
\(113\) | 2.15814 | + | 2.15814i | 0.203021 | + | 0.203021i | 0.801293 | − | 0.598272i | \(-0.204146\pi\) |
−0.598272 | + | 0.801293i | \(0.704146\pi\) | |||||||
\(114\) | 3.66079 | + | 1.27405i | 0.342864 | + | 0.119326i | ||||
\(115\) | 4.62893 | + | 5.38536i | 0.431650 | + | 0.502188i | ||||
\(116\) | −13.0786 | − | 10.3579i | −1.21431 | − | 0.961710i | ||||
\(117\) | −1.41681 | + | 1.41681i | −0.130984 | + | 0.130984i | ||||
\(118\) | 1.15787 | + | 2.39402i | 0.106591 | + | 0.220388i | ||||
\(119\) | 21.2981 | 1.95239 | ||||||||
\(120\) | 8.16822 | + | 15.2896i | 0.745653 | + | 1.39574i | ||||
\(121\) | −0.0313237 | −0.00284761 | ||||||||
\(122\) | −4.30215 | − | 8.89516i | −0.389499 | − | 0.805330i | ||||
\(123\) | 7.91133 | − | 7.91133i | 0.713341 | − | 0.713341i | ||||
\(124\) | 0.449350 | + | 0.355876i | 0.0403528 | + | 0.0319586i | ||||
\(125\) | 2.50724 | − | 10.8956i | 0.224254 | − | 0.974531i | ||||
\(126\) | −24.8703 | − | 8.65552i | −2.21563 | − | 0.771095i | ||||
\(127\) | −8.73311 | − | 8.73311i | −0.774938 | − | 0.774938i | 0.204027 | − | 0.978965i | \(-0.434597\pi\) |
−0.978965 | + | 0.204027i | \(0.934597\pi\) | |||||||
\(128\) | −0.133359 | − | 11.3129i | −0.0117874 | − | 0.999931i | ||||
\(129\) | 6.66599i | 0.586907i | ||||||||
\(130\) | −1.28765 | − | 0.560125i | −0.112935 | − | 0.0491263i | ||||
\(131\) | 6.75742i | 0.590399i | 0.955436 | + | 0.295199i | \(0.0953861\pi\) | ||||
−0.955436 | + | 0.295199i | \(0.904614\pi\) | |||||||
\(132\) | 18.0852 | − | 2.09942i | 1.57411 | − | 0.182731i | ||||
\(133\) | −2.91797 | − | 2.91797i | −0.253020 | − | 0.253020i | ||||
\(134\) | 0.554829 | − | 1.59422i | 0.0479299 | − | 0.137719i | ||||
\(135\) | 7.02881 | − | 6.04153i | 0.604943 | − | 0.519972i | ||||
\(136\) | 12.3210 | − | 7.82889i | 1.05652 | − | 0.671321i | ||||
\(137\) | −4.40517 | + | 4.40517i | −0.376359 | + | 0.376359i | −0.869787 | − | 0.493428i | \(-0.835744\pi\) |
0.493428 | + | 0.869787i | \(0.335744\pi\) | |||||||
\(138\) | −11.0819 | + | 5.35976i | −0.943353 | + | 0.456253i | ||||
\(139\) | 3.98115 | 0.337677 | 0.168838 | − | 0.985644i | \(-0.445998\pi\) | ||||
0.168838 | + | 0.985644i | \(0.445998\pi\) | |||||||
\(140\) | −0.741224 | − | 18.4400i | −0.0626449 | − | 1.55846i | ||||
\(141\) | −31.8575 | −2.68289 | ||||||||
\(142\) | −8.52840 | + | 4.12477i | −0.715687 | + | 0.346143i | ||||
\(143\) | −1.04287 | + | 1.04287i | −0.0872090 | + | 0.0872090i | ||||
\(144\) | −17.5692 | + | 4.13475i | −1.46410 | + | 0.344563i | ||||
\(145\) | −18.5996 | − | 1.40494i | −1.54461 | − | 0.116674i | ||||
\(146\) | −4.43661 | + | 12.7479i | −0.367176 | + | 1.05502i | ||||
\(147\) | 19.4372 | + | 19.4372i | 1.60315 | + | 1.60315i | ||||
\(148\) | −2.02390 | − | 17.4346i | −0.166363 | − | 1.43312i | ||||
\(149\) | − | 13.7794i | − | 1.12885i | −0.825485 | − | 0.564425i | \(-0.809098\pi\) | ||
0.825485 | − | 0.564425i | \(-0.190902\pi\) | |||||||
\(150\) | 17.1394 | + | 9.04749i | 1.39942 | + | 0.738725i | ||||
\(151\) | − | 13.9949i | − | 1.13889i | −0.822030 | − | 0.569444i | \(-0.807158\pi\) | ||
0.822030 | − | 0.569444i | \(-0.192842\pi\) | |||||||
\(152\) | −2.76066 | − | 0.615446i | −0.223919 | − | 0.0499192i | ||||
\(153\) | −16.4675 | − | 16.4675i | −1.33132 | − | 1.33132i | ||||
\(154\) | −18.3062 | − | 6.37103i | −1.47516 | − | 0.513393i | ||||
\(155\) | 0.639041 | + | 0.0482705i | 0.0513290 | + | 0.00387718i | ||||
\(156\) | 1.51125 | − | 1.90819i | 0.120997 | − | 0.152778i | ||||
\(157\) | −10.6551 | + | 10.6551i | −0.850367 | + | 0.850367i | −0.990178 | − | 0.139811i | \(-0.955351\pi\) |
0.139811 | + | 0.990178i | \(0.455351\pi\) | |||||||
\(158\) | 10.4393 | + | 21.5843i | 0.830505 | + | 1.71716i | ||||
\(159\) | 0.758884 | 0.0601834 | ||||||||
\(160\) | −7.20708 | − | 10.3951i | −0.569770 | − | 0.821804i | ||||
\(161\) | 13.1054 | 1.03285 | ||||||||
\(162\) | −1.33993 | − | 2.77044i | −0.105274 | − | 0.217666i | ||||
\(163\) | 1.50236 | − | 1.50236i | 0.117674 | − | 0.117674i | −0.645818 | − | 0.763492i | \(-0.723483\pi\) |
0.763492 | + | 0.645818i | \(0.223483\pi\) | |||||||
\(164\) | −5.06871 | + | 6.40006i | −0.395799 | + | 0.499760i | ||||
\(165\) | 15.4369 | − | 13.2686i | 1.20176 | − | 1.03296i | ||||
\(166\) | 8.85970 | + | 3.08341i | 0.687646 | + | 0.239319i | ||||
\(167\) | −11.8667 | − | 11.8667i | −0.918275 | − | 0.918275i | 0.0786286 | − | 0.996904i | \(-0.474946\pi\) |
−0.996904 | + | 0.0786286i | \(0.974946\pi\) | |||||||
\(168\) | 31.2244 | + | 6.96100i | 2.40902 | + | 0.537053i | ||||
\(169\) | − | 12.8028i | − | 0.984832i | ||||||
\(170\) | 6.51028 | − | 14.9663i | 0.499316 | − | 1.14786i | ||||
\(171\) | 4.51229i | 0.345064i | ||||||||
\(172\) | −0.560889 | − | 4.83172i | −0.0427674 | − | 0.368415i | ||||
\(173\) | 17.5745 | + | 17.5745i | 1.33617 | + | 1.33617i | 0.899739 | + | 0.436428i | \(0.143757\pi\) |
0.436428 | + | 0.899739i | \(0.356243\pi\) | |||||||
\(174\) | 10.6277 | − | 30.5372i | 0.805686 | − | 2.31502i | ||||
\(175\) | −12.2327 | − | 16.6159i | −0.924705 | − | 1.25604i | ||||
\(176\) | −12.9321 | + | 3.04345i | −0.974792 | + | 0.229409i | ||||
\(177\) | −3.64441 | + | 3.64441i | −0.273931 | + | 0.273931i | ||||
\(178\) | −11.6207 | + | 5.62037i | −0.871009 | + | 0.421264i | ||||
\(179\) | 6.95028 | 0.519488 | 0.259744 | − | 0.965678i | \(-0.416362\pi\) | ||||
0.259744 | + | 0.965678i | \(0.416362\pi\) | |||||||
\(180\) | −13.6845 | + | 14.8307i | −1.01998 | + | 1.10542i | ||||
\(181\) | 9.68986 | 0.720241 | 0.360121 | − | 0.932906i | \(-0.382736\pi\) | ||||
0.360121 | + | 0.932906i | \(0.382736\pi\) | |||||||
\(182\) | −2.33291 | + | 1.12831i | −0.172927 | + | 0.0836362i | ||||
\(183\) | 13.5411 | − | 13.5411i | 1.00099 | − | 1.00099i | ||||
\(184\) | 7.58152 | − | 4.81738i | 0.558917 | − | 0.355142i | ||||
\(185\) | −12.7913 | − | 14.8816i | −0.940433 | − | 1.09411i | ||||
\(186\) | −0.365146 | + | 1.04919i | −0.0267738 | + | 0.0769304i | ||||
\(187\) | −12.1211 | − | 12.1211i | −0.886386 | − | 0.886386i | ||||
\(188\) | 23.0913 | − | 2.68056i | 1.68411 | − | 0.195500i | ||||
\(189\) | − | 17.1048i | − | 1.24419i | ||||||
\(190\) | −2.94242 | + | 1.15852i | −0.213466 | + | 0.0840479i | ||||
\(191\) | 14.8881i | 1.07727i | 0.842540 | + | 0.538634i | \(0.181059\pi\) | ||||
−0.842540 | + | 0.538634i | \(0.818941\pi\) | |||||||
\(192\) | 20.6222 | − | 7.45072i | 1.48828 | − | 0.537709i | ||||
\(193\) | 5.83463 | + | 5.83463i | 0.419986 | + | 0.419986i | 0.885199 | − | 0.465213i | \(-0.154022\pi\) |
−0.465213 | + | 0.885199i | \(0.654022\pi\) | |||||||
\(194\) | 9.97011 | + | 3.46986i | 0.715812 | + | 0.249121i | ||||
\(195\) | 0.204984 | − | 2.71373i | 0.0146792 | − | 0.194334i | ||||
\(196\) | −15.7241 | − | 12.4532i | −1.12315 | − | 0.889513i | ||||
\(197\) | 15.5394 | − | 15.5394i | 1.10713 | − | 1.10713i | 0.113608 | − | 0.993526i | \(-0.463759\pi\) |
0.993526 | − | 0.113608i | \(-0.0362407\pi\) | |||||||
\(198\) | 9.22815 | + | 19.0802i | 0.655816 | + | 1.35597i | ||||
\(199\) | 21.5116 | 1.52492 | 0.762459 | − | 0.647036i | \(-0.223992\pi\) | ||||
0.762459 | + | 0.647036i | \(0.223992\pi\) | |||||||
\(200\) | −13.1844 | − | 5.11577i | −0.932279 | − | 0.361739i | ||||
\(201\) | 3.27149 | 0.230753 | ||||||||
\(202\) | 5.04696 | + | 10.4351i | 0.355103 | + | 0.734213i | ||||
\(203\) | −24.3408 | + | 24.3408i | −1.70839 | + | 1.70839i | ||||
\(204\) | 22.1787 | + | 17.5651i | 1.55282 | + | 1.22980i | ||||
\(205\) | −0.687513 | + | 9.10181i | −0.0480180 | + | 0.635698i | ||||
\(206\) | 24.9767 | + | 8.69253i | 1.74021 | + | 0.605638i | ||||
\(207\) | −10.1330 | − | 10.1330i | −0.704292 | − | 0.704292i | ||||
\(208\) | −0.934840 | + | 1.51028i | −0.0648195 | + | 0.104719i | ||||
\(209\) | 3.32134i | 0.229742i | ||||||||
\(210\) | 33.2802 | − | 13.1035i | 2.29656 | − | 0.904224i | ||||
\(211\) | 28.1084i | 1.93506i | 0.252754 | + | 0.967530i | \(0.418664\pi\) | ||||
−0.252754 | + | 0.967530i | \(0.581336\pi\) | |||||||
\(212\) | −0.550063 | + | 0.0638540i | −0.0377785 | + | 0.00438551i | ||||
\(213\) | −12.9828 | − | 12.9828i | −0.889564 | − | 0.889564i | ||||
\(214\) | 5.84025 | − | 16.7811i | 0.399231 | − | 1.14713i | ||||
\(215\) | −3.54489 | − | 4.12418i | −0.241760 | − | 0.281267i | ||||
\(216\) | −6.28749 | − | 9.89516i | −0.427809 | − | 0.673280i | ||||
\(217\) | 0.836296 | − | 0.836296i | 0.0567715 | − | 0.0567715i | ||||
\(218\) | 7.49252 | − | 3.62377i | 0.507458 | − | 0.245432i | ||||
\(219\) | −26.1599 | −1.76772 | ||||||||
\(220\) | −10.0727 | + | 10.9164i | −0.679101 | + | 0.735982i | ||||
\(221\) | −2.29179 | −0.154163 | ||||||||
\(222\) | 30.6230 | − | 14.8108i | 2.05528 | − | 0.994037i | ||||
\(223\) | −5.49622 | + | 5.49622i | −0.368054 | + | 0.368054i | −0.866767 | − | 0.498713i | \(-0.833806\pi\) |
0.498713 | + | 0.866767i | \(0.333806\pi\) | |||||||
\(224\) | −23.2182 | − | 2.41827i | −1.55133 | − | 0.161577i | ||||
\(225\) | −3.38906 | + | 22.3055i | −0.225937 | + | 1.48703i | ||||
\(226\) | 1.41871 | − | 4.07646i | 0.0943715 | − | 0.271162i | ||||
\(227\) | −4.64878 | − | 4.64878i | −0.308550 | − | 0.308550i | 0.535797 | − | 0.844347i | \(-0.320011\pi\) |
−0.844347 | + | 0.535797i | \(0.820011\pi\) | |||||||
\(228\) | −0.632099 | − | 5.44515i | −0.0418618 | − | 0.360614i | ||||
\(229\) | − | 7.40542i | − | 0.489364i | −0.969603 | − | 0.244682i | \(-0.921317\pi\) | ||
0.969603 | − | 0.244682i | \(-0.0786835\pi\) | |||||||
\(230\) | 4.00600 | − | 9.20924i | 0.264148 | − | 0.607240i | ||||
\(231\) | − | 37.5661i | − | 2.47167i | ||||||
\(232\) | −5.13386 | + | 23.0285i | −0.337054 | + | 1.51190i | ||||
\(233\) | −19.5089 | − | 19.5089i | −1.27807 | − | 1.27807i | −0.941747 | − | 0.336322i | \(-0.890817\pi\) |
−0.336322 | − | 0.941747i | \(-0.609183\pi\) | |||||||
\(234\) | 2.67619 | + | 0.931382i | 0.174948 | + | 0.0608864i | ||||
\(235\) | 19.7099 | − | 16.9414i | 1.28573 | − | 1.10514i | ||||
\(236\) | 2.33494 | − | 2.94823i | 0.151991 | − | 0.191914i | ||||
\(237\) | −32.8578 | + | 32.8578i | −2.13434 | + | 2.13434i | ||||
\(238\) | −13.1143 | − | 27.1152i | −0.850072 | − | 1.75762i | ||||
\(239\) | 5.96128 | 0.385603 | 0.192802 | − | 0.981238i | \(-0.438243\pi\) | ||||
0.192802 | + | 0.981238i | \(0.438243\pi\) | |||||||
\(240\) | 14.4360 | − | 19.8137i | 0.931842 | − | 1.27897i | ||||
\(241\) | 2.04156 | 0.131509 | 0.0657543 | − | 0.997836i | \(-0.479055\pi\) | ||||
0.0657543 | + | 0.997836i | \(0.479055\pi\) | |||||||
\(242\) | 0.0192876 | + | 0.0398791i | 0.00123985 | + | 0.00256353i | ||||
\(243\) | 13.0103 | − | 13.0103i | 0.834609 | − | 0.834609i | ||||
\(244\) | −8.67563 | + | 10.9544i | −0.555400 | + | 0.701282i | ||||
\(245\) | −22.3620 | − | 1.68913i | −1.42866 | − | 0.107915i | ||||
\(246\) | −14.9435 | − | 5.20074i | −0.952764 | − | 0.331587i | ||||
\(247\) | 0.313990 | + | 0.313990i | 0.0199787 | + | 0.0199787i | ||||
\(248\) | 0.176388 | − | 0.791210i | 0.0112007 | − | 0.0502419i | ||||
\(249\) | 18.1810i | 1.15217i | ||||||||
\(250\) | −15.4153 | + | 3.51691i | −0.974949 | + | 0.222429i | ||||
\(251\) | 6.12850i | 0.386828i | 0.981117 | + | 0.193414i | \(0.0619560\pi\) | ||||
−0.981117 | + | 0.193414i | \(0.938044\pi\) | |||||||
\(252\) | 4.29430 | + | 36.9927i | 0.270515 | + | 2.33032i | ||||
\(253\) | −7.45855 | − | 7.45855i | −0.468915 | − | 0.468915i | ||||
\(254\) | −5.74096 | + | 16.4958i | −0.360220 | + | 1.03504i | ||||
\(255\) | 31.5414 | + | 2.38250i | 1.97520 | + | 0.149198i | ||||
\(256\) | −14.3207 | + | 7.13570i | −0.895042 | + | 0.445982i | ||||
\(257\) | 3.57823 | − | 3.57823i | 0.223204 | − | 0.223204i | −0.586642 | − | 0.809846i | \(-0.699551\pi\) |
0.809846 | + | 0.586642i | \(0.199551\pi\) | |||||||
\(258\) | 8.48665 | − | 4.10457i | 0.528356 | − | 0.255540i | ||||
\(259\) | −36.2147 | −2.25027 | ||||||||
\(260\) | 0.0797598 | + | 1.98424i | 0.00494650 | + | 0.123057i | ||||
\(261\) | 37.6402 | 2.32987 | ||||||||
\(262\) | 8.60306 | − | 4.16088i | 0.531499 | − | 0.257060i | ||||
\(263\) | 4.71761 | − | 4.71761i | 0.290900 | − | 0.290900i | −0.546536 | − | 0.837436i | \(-0.684054\pi\) |
0.837436 | + | 0.546536i | \(0.184054\pi\) | |||||||
\(264\) | −13.8088 | − | 21.7321i | −0.849871 | − | 1.33752i | ||||
\(265\) | −0.469514 | + | 0.403565i | −0.0288420 | + | 0.0247908i | ||||
\(266\) | −1.91821 | + | 5.51168i | −0.117613 | + | 0.337943i | ||||
\(267\) | −17.6902 | − | 17.6902i | −1.08262 | − | 1.08262i | ||||
\(268\) | −2.37128 | + | 0.275269i | −0.144849 | + | 0.0168148i | ||||
\(269\) | − | 5.33876i | − | 0.325510i | −0.986667 | − | 0.162755i | \(-0.947962\pi\) | ||
0.986667 | − | 0.162755i | \(-0.0520380\pi\) | |||||||
\(270\) | −12.0196 | − | 5.22850i | −0.731491 | − | 0.318196i | ||||
\(271\) | − | 6.85376i | − | 0.416336i | −0.978093 | − | 0.208168i | \(-0.933250\pi\) | ||
0.978093 | − | 0.208168i | \(-0.0667501\pi\) | |||||||
\(272\) | −17.5538 | − | 10.8656i | −1.06436 | − | 0.658821i | ||||
\(273\) | −3.55138 | − | 3.55138i | −0.214939 | − | 0.214939i | ||||
\(274\) | 8.32082 | + | 2.89586i | 0.502679 | + | 0.174945i | ||||
\(275\) | −2.49457 | + | 16.4183i | −0.150428 | + | 0.990060i | ||||
\(276\) | 13.6473 | + | 10.8084i | 0.821472 | + | 0.650588i | ||||
\(277\) | 0.270432 | − | 0.270432i | 0.0162487 | − | 0.0162487i | −0.698936 | − | 0.715184i | \(-0.746343\pi\) |
0.715184 | + | 0.698936i | \(0.246343\pi\) | |||||||
\(278\) | −2.45139 | − | 5.06851i | −0.147025 | − | 0.303989i | ||||
\(279\) | −1.29323 | −0.0774238 | ||||||||
\(280\) | −23.0200 | + | 12.2981i | −1.37571 | + | 0.734950i | ||||
\(281\) | 23.7256 | 1.41535 | 0.707674 | − | 0.706539i | \(-0.249745\pi\) | ||||
0.707674 | + | 0.706539i | \(0.249745\pi\) | |||||||
\(282\) | 19.6162 | + | 40.5587i | 1.16813 | + | 2.41523i | ||||
\(283\) | −0.320449 | + | 0.320449i | −0.0190487 | + | 0.0190487i | −0.716567 | − | 0.697518i | \(-0.754288\pi\) |
0.697518 | + | 0.716567i | \(0.254288\pi\) | |||||||
\(284\) | 10.5027 | + | 8.31792i | 0.623221 | + | 0.493578i | ||||
\(285\) | −3.99495 | − | 4.64778i | −0.236640 | − | 0.275311i | ||||
\(286\) | 1.96985 | + | 0.685558i | 0.116480 | + | 0.0405379i | ||||
\(287\) | 11.9113 | + | 11.9113i | 0.703101 | + | 0.703101i | ||||
\(288\) | 16.0823 | + | 19.8218i | 0.947657 | + | 1.16801i | ||||
\(289\) | − | 9.63728i | − | 0.566899i | ||||||
\(290\) | 9.66402 | + | 24.5447i | 0.567491 | + | 1.44132i | ||||
\(291\) | 20.4596i | 1.19936i | ||||||||
\(292\) | 18.9615 | − | 2.20115i | 1.10964 | − | 0.128813i | ||||
\(293\) | −12.2113 | − | 12.2113i | −0.713390 | − | 0.713390i | 0.253853 | − | 0.967243i | \(-0.418302\pi\) |
−0.967243 | + | 0.253853i | \(0.918302\pi\) | |||||||
\(294\) | 12.7776 | − | 36.7144i | 0.745203 | − | 2.14123i | ||||
\(295\) | 0.316708 | − | 4.19282i | 0.0184394 | − | 0.244115i | ||||
\(296\) | −20.9503 | + | 13.3120i | −1.21771 | + | 0.773746i | ||||
\(297\) | −9.73467 | + | 9.73467i | −0.564863 | + | 0.564863i | ||||
\(298\) | −17.5429 | + | 8.48463i | −1.01623 | + | 0.491501i | ||||
\(299\) | −1.41022 | −0.0815549 | ||||||||
\(300\) | 0.965066 | − | 27.3916i | 0.0557181 | − | 1.58145i | ||||
\(301\) | −10.0363 | −0.578483 | ||||||||
\(302\) | −17.8173 | + | 8.61735i | −1.02527 | + | 0.495873i | ||||
\(303\) | −15.8854 | + | 15.8854i | −0.912591 | + | 0.912591i | ||||
\(304\) | 0.916331 | + | 3.89363i | 0.0525552 | + | 0.223315i | ||||
\(305\) | −1.17675 | + | 15.5787i | −0.0673806 | + | 0.892035i | ||||
\(306\) | −10.8254 | + | 31.1050i | −0.618845 | + | 1.77816i | ||||
\(307\) | −3.93802 | − | 3.93802i | −0.224755 | − | 0.224755i | 0.585742 | − | 0.810497i | \(-0.300803\pi\) |
−0.810497 | + | 0.585742i | \(0.800803\pi\) | |||||||
\(308\) | 3.16088 | + | 27.2291i | 0.180108 | + | 1.55152i | ||||
\(309\) | 51.2545i | 2.91577i | ||||||||
\(310\) | −0.332035 | − | 0.843304i | −0.0188583 | − | 0.0478964i | ||||
\(311\) | − | 5.86740i | − | 0.332710i | −0.986066 | − | 0.166355i | \(-0.946800\pi\) | ||
0.986066 | − | 0.166355i | \(-0.0531997\pi\) | |||||||
\(312\) | −3.35992 | − | 0.749042i | −0.190218 | − | 0.0424062i | ||||
\(313\) | 11.5218 | + | 11.5218i | 0.651248 | + | 0.651248i | 0.953294 | − | 0.302045i | \(-0.0976694\pi\) |
−0.302045 | + | 0.953294i | \(0.597669\pi\) | |||||||
\(314\) | 20.1261 | + | 7.00441i | 1.13578 | + | 0.395282i | ||||
\(315\) | 27.1405 | + | 31.5757i | 1.52919 | + | 1.77909i | ||||
\(316\) | 21.0516 | − | 26.5811i | 1.18425 | − | 1.49530i | ||||
\(317\) | −14.2004 | + | 14.2004i | −0.797572 | + | 0.797572i | −0.982712 | − | 0.185140i | \(-0.940726\pi\) |
0.185140 | + | 0.982712i | \(0.440726\pi\) | |||||||
\(318\) | −0.467282 | − | 0.966156i | −0.0262039 | − | 0.0541794i | ||||
\(319\) | 27.7056 | 1.55122 | ||||||||
\(320\) | −8.79653 | + | 15.5763i | −0.491741 | + | 0.870742i | ||||
\(321\) | 34.4364 | 1.92205 | ||||||||
\(322\) | −8.06966 | − | 16.6849i | −0.449704 | − | 0.929812i | ||||
\(323\) | −3.64947 | + | 3.64947i | −0.203062 | + | 0.203062i | ||||
\(324\) | −2.70207 | + | 3.41179i | −0.150115 | + | 0.189544i | ||||
\(325\) | 1.31631 | + | 1.78796i | 0.0730155 | + | 0.0991784i | ||||
\(326\) | −2.83777 | − | 0.987617i | −0.157169 | − | 0.0546990i | ||||
\(327\) | 11.4058 | + | 11.4058i | 0.630745 | + | 0.630745i | ||||
\(328\) | 11.2691 | + | 2.51228i | 0.622234 | + | 0.138717i | ||||
\(329\) | − | 47.9647i | − | 2.64438i | ||||||
\(330\) | −26.3978 | − | 11.4830i | −1.45315 | − | 0.632118i | ||||
\(331\) | − | 20.0980i | − | 1.10469i | −0.833617 | − | 0.552343i | \(-0.813734\pi\) | ||
0.833617 | − | 0.552343i | \(-0.186266\pi\) | |||||||
\(332\) | −1.52978 | − | 13.1781i | −0.0839577 | − | 0.723244i | ||||
\(333\) | 28.0009 | + | 28.0009i | 1.53444 | + | 1.53444i | ||||
\(334\) | −7.80093 | + | 22.4148i | −0.426848 | + | 1.22648i | ||||
\(335\) | −2.02404 | + | 1.73974i | −0.110585 | + | 0.0950519i | ||||
\(336\) | −10.3642 | − | 44.0389i | −0.565412 | − | 2.40252i | ||||
\(337\) | −6.14538 | + | 6.14538i | −0.334760 | + | 0.334760i | −0.854391 | − | 0.519631i | \(-0.826069\pi\) |
0.519631 | + | 0.854391i | \(0.326069\pi\) | |||||||
\(338\) | −16.2996 | + | 7.88332i | −0.886583 | + | 0.428796i | ||||
\(339\) | 8.36529 | 0.454340 | ||||||||
\(340\) | −23.0627 | + | 0.927041i | −1.25075 | + | 0.0502759i | ||||
\(341\) | −0.951904 | −0.0515485 | ||||||||
\(342\) | 5.74472 | − | 2.77844i | 0.310639 | − | 0.150241i | ||||
\(343\) | −8.83880 | + | 8.83880i | −0.477250 | + | 0.477250i | ||||
\(344\) | −5.80602 | + | 3.68921i | −0.313040 | + | 0.198909i | ||||
\(345\) | 19.4085 | + | 1.46604i | 1.04492 | + | 0.0789287i | ||||
\(346\) | 11.5531 | − | 33.1961i | 0.621100 | − | 1.78463i | ||||
\(347\) | −20.8203 | − | 20.8203i | −1.11769 | − | 1.11769i | −0.992079 | − | 0.125613i | \(-0.959910\pi\) |
−0.125613 | − | 0.992079i | \(-0.540090\pi\) | |||||||
\(348\) | −45.4217 | + | 5.27278i | −2.43486 | + | 0.282651i | ||||
\(349\) | 0.392903i | 0.0210316i | 0.999945 | + | 0.0105158i | \(0.00334735\pi\) | ||||
−0.999945 | + | 0.0105158i | \(0.996653\pi\) | |||||||
\(350\) | −13.6219 | + | 25.8050i | −0.728121 | + | 1.37934i | ||||
\(351\) | 1.84057i | 0.0982424i | ||||||||
\(352\) | 11.8376 | + | 14.5902i | 0.630947 | + | 0.777659i | ||||
\(353\) | 12.9637 | + | 12.9637i | 0.689988 | + | 0.689988i | 0.962229 | − | 0.272241i | \(-0.0877649\pi\) |
−0.272241 | + | 0.962229i | \(0.587765\pi\) | |||||||
\(354\) | 6.88384 | + | 2.39576i | 0.365872 | + | 0.127333i | ||||
\(355\) | 14.9364 | + | 1.12823i | 0.792741 | + | 0.0598803i | ||||
\(356\) | 14.3109 | + | 11.3339i | 0.758476 | + | 0.600696i | ||||
\(357\) | 41.2774 | − | 41.2774i | 2.18463 | − | 2.18463i | ||||
\(358\) | −4.27963 | − | 8.84859i | −0.226185 | − | 0.467662i | ||||
\(359\) | −11.9013 | −0.628126 | −0.314063 | − | 0.949402i | \(-0.601690\pi\) | ||||
−0.314063 | + | 0.949402i | \(0.601690\pi\) | |||||||
\(360\) | 27.3076 | + | 8.29011i | 1.43924 | + | 0.436927i | ||||
\(361\) | 1.00000 | 0.0526316 | ||||||||
\(362\) | −5.96652 | − | 12.3364i | −0.313593 | − | 0.648388i | ||||
\(363\) | −0.0607078 | + | 0.0607078i | −0.00318634 | + | 0.00318634i | ||||
\(364\) | 2.87297 | + | 2.27533i | 0.150585 | + | 0.119260i | ||||
\(365\) | 16.1849 | − | 13.9115i | 0.847156 | − | 0.728163i | ||||
\(366\) | −25.5774 | − | 8.90161i | −1.33695 | − | 0.465295i | ||||
\(367\) | 7.08566 | + | 7.08566i | 0.369868 | + | 0.369868i | 0.867429 | − | 0.497561i | \(-0.165771\pi\) |
−0.497561 | + | 0.867429i | \(0.665771\pi\) | |||||||
\(368\) | −10.8014 | − | 6.68594i | −0.563064 | − | 0.348529i | ||||
\(369\) | − | 18.4194i | − | 0.958876i | ||||||
\(370\) | −11.0699 | + | 25.4482i | −0.575497 | + | 1.32299i | ||||
\(371\) | 1.14258i | 0.0593196i | ||||||||
\(372\) | 1.56059 | − | 0.181161i | 0.0809129 | − | 0.00939276i | ||||
\(373\) | 26.3446 | + | 26.3446i | 1.36407 | + | 1.36407i | 0.868654 | + | 0.495419i | \(0.164985\pi\) |
0.495419 | + | 0.868654i | \(0.335015\pi\) | |||||||
\(374\) | −7.96818 | + | 22.8953i | −0.412025 | + | 1.18389i | ||||
\(375\) | −16.2573 | − | 25.9757i | −0.839521 | − | 1.34138i | ||||
\(376\) | −17.6312 | − | 27.7477i | −0.909257 | − | 1.43098i | ||||
\(377\) | 2.61920 | − | 2.61920i | 0.134896 | − | 0.134896i | ||||
\(378\) | −21.7766 | + | 10.5323i | −1.12007 | + | 0.541721i | ||||
\(379\) | 13.5623 | 0.696650 | 0.348325 | − | 0.937374i | \(-0.386751\pi\) | ||||
0.348325 | + | 0.937374i | \(0.386751\pi\) | |||||||
\(380\) | 3.28674 | + | 3.03272i | 0.168606 | + | 0.155575i | ||||
\(381\) | −33.8509 | −1.73423 | ||||||||
\(382\) | 18.9545 | − | 9.16735i | 0.969796 | − | 0.469043i | ||||
\(383\) | −5.92151 | + | 5.92151i | −0.302575 | + | 0.302575i | −0.842020 | − | 0.539446i | \(-0.818634\pi\) |
0.539446 | + | 0.842020i | \(0.318634\pi\) | |||||||
\(384\) | −22.1838 | − | 21.6669i | −1.13206 | − | 1.10568i | ||||
\(385\) | 19.9772 | + | 23.2418i | 1.01813 | + | 1.18451i | ||||
\(386\) | 3.83556 | − | 11.0209i | 0.195225 | − | 0.560949i | ||||
\(387\) | 7.75998 | + | 7.75998i | 0.394462 | + | 0.394462i | ||||
\(388\) | −1.72151 | − | 14.8298i | −0.0873966 | − | 0.752868i | ||||
\(389\) | − | 21.4154i | − | 1.08580i | −0.839796 | − | 0.542902i | \(-0.817326\pi\) | ||
0.839796 | − | 0.542902i | \(-0.182674\pi\) | |||||||
\(390\) | −3.58114 | + | 1.41000i | −0.181338 | + | 0.0713984i | ||||
\(391\) | − | 16.3908i | − | 0.828919i | ||||||
\(392\) | −6.17236 | + | 27.6869i | −0.311751 | + | 1.39840i | ||||
\(393\) | 13.0964 | + | 13.0964i | 0.660627 | + | 0.660627i | ||||
\(394\) | −29.3519 | − | 10.2152i | −1.47873 | − | 0.514636i | ||||
\(395\) | 2.85542 | − | 37.8022i | 0.143672 | − | 1.90203i | ||||
\(396\) | 18.6093 | − | 23.4972i | 0.935152 | − | 1.18078i | ||||
\(397\) | 7.98906 | − | 7.98906i | 0.400960 | − | 0.400960i | −0.477612 | − | 0.878571i | \(-0.658497\pi\) |
0.878571 | + | 0.477612i | \(0.158497\pi\) | |||||||
\(398\) | −13.2458 | − | 27.3870i | −0.663950 | − | 1.37279i | ||||
\(399\) | −11.3105 | −0.566233 | ||||||||
\(400\) | 1.60527 | + | 19.9355i | 0.0802636 | + | 0.996774i | ||||
\(401\) | 11.0072 | 0.549675 | 0.274838 | − | 0.961491i | \(-0.411376\pi\) | ||||
0.274838 | + | 0.961491i | \(0.411376\pi\) | |||||||
\(402\) | −2.01441 | − | 4.16502i | −0.100470 | − | 0.207732i | ||||
\(403\) | −0.0899901 | + | 0.0899901i | −0.00448273 | + | 0.00448273i | ||||
\(404\) | 10.1776 | − | 12.8508i | 0.506354 | − | 0.639354i | ||||
\(405\) | −0.366505 | + | 4.85206i | −0.0182118 | + | 0.241101i | ||||
\(406\) | 45.9768 | + | 16.0011i | 2.28179 | + | 0.794122i | ||||
\(407\) | 20.6105 | + | 20.6105i | 1.02162 | + | 1.02162i | ||||
\(408\) | 8.70605 | − | 39.0520i | 0.431013 | − | 1.93336i | ||||
\(409\) | − | 11.3378i | − | 0.560617i | −0.959910 | − | 0.280308i | \(-0.909563\pi\) | ||
0.959910 | − | 0.280308i | \(-0.0904367\pi\) | |||||||
\(410\) | 12.0111 | − | 4.72914i | 0.593186 | − | 0.233556i | ||||
\(411\) | 17.0751i | 0.842254i | ||||||||
\(412\) | −4.31266 | − | 37.1509i | −0.212469 | − | 1.83029i | ||||
\(413\) | −5.48702 | − | 5.48702i | −0.269999 | − | 0.269999i | ||||
\(414\) | −6.66121 | + | 19.1400i | −0.327381 | + | 0.940679i | ||||
\(415\) | −9.66842 | − | 11.2484i | −0.474604 | − | 0.552161i | ||||
\(416\) | 2.49840 | + | 0.260219i | 0.122494 | + | 0.0127583i | ||||
\(417\) | 7.71578 | − | 7.71578i | 0.377843 | − | 0.377843i | ||||
\(418\) | 4.22849 | − | 2.04511i | 0.206822 | − | 0.100030i | ||||
\(419\) | −15.6393 | −0.764030 | −0.382015 | − | 0.924156i | \(-0.624770\pi\) | ||||
−0.382015 | + | 0.924156i | \(0.624770\pi\) | |||||||
\(420\) | −37.1746 | − | 34.3015i | −1.81394 | − | 1.67374i | ||||
\(421\) | −21.7737 | −1.06119 | −0.530593 | − | 0.847627i | \(-0.678031\pi\) | ||||
−0.530593 | + | 0.847627i | \(0.678031\pi\) | |||||||
\(422\) | 35.7856 | − | 17.3077i | 1.74201 | − | 0.842526i | ||||
\(423\) | −37.0858 | + | 37.0858i | −1.80317 | + | 1.80317i | ||||
\(424\) | 0.419995 | + | 0.660982i | 0.0203968 | + | 0.0321001i | ||||
\(425\) | −20.7813 | + | 15.2993i | −1.00804 | + | 0.742125i | ||||
\(426\) | −8.53458 | + | 24.5228i | −0.413502 | + | 1.18813i | ||||
\(427\) | 20.3874 | + | 20.3874i | 0.986618 | + | 0.986618i | ||||
\(428\) | −24.9606 | + | 2.89755i | −1.20652 | + | 0.140058i | ||||
\(429\) | 4.04232i | 0.195165i | ||||||||
\(430\) | −3.06784 | + | 7.05256i | −0.147945 | + | 0.340104i | ||||
\(431\) | − | 11.7068i | − | 0.563896i | −0.959430 | − | 0.281948i | \(-0.909019\pi\) | ||
0.959430 | − | 0.281948i | \(-0.0909805\pi\) | |||||||
\(432\) | −8.72628 | + | 14.0977i | −0.419844 | + | 0.678276i | ||||
\(433\) | 1.08422 | + | 1.08422i | 0.0521044 | + | 0.0521044i | 0.732679 | − | 0.680574i | \(-0.238270\pi\) |
−0.680574 | + | 0.732679i | \(0.738270\pi\) | |||||||
\(434\) | −1.57966 | − | 0.549763i | −0.0758261 | − | 0.0263895i | ||||
\(435\) | −38.7704 | + | 33.3246i | −1.85890 | + | 1.59779i | ||||
\(436\) | −9.22703 | − | 7.30761i | −0.441895 | − | 0.349971i | ||||
\(437\) | −2.24564 | + | 2.24564i | −0.107424 | + | 0.107424i | ||||
\(438\) | 16.1080 | + | 33.3049i | 0.769668 | + | 1.59137i | ||||
\(439\) | 20.1168 | 0.960122 | 0.480061 | − | 0.877235i | \(-0.340615\pi\) | ||||
0.480061 | + | 0.877235i | \(0.340615\pi\) | |||||||
\(440\) | 20.1002 | + | 6.10207i | 0.958239 | + | 0.290905i | ||||
\(441\) | 45.2542 | 2.15496 | ||||||||
\(442\) | 1.41117 | + | 2.91774i | 0.0671225 | + | 0.138783i | ||||
\(443\) | −13.9904 | + | 13.9904i | −0.664706 | + | 0.664706i | −0.956485 | − | 0.291780i | \(-0.905753\pi\) |
0.291780 | + | 0.956485i | \(0.405753\pi\) | |||||||
\(444\) | −37.7121 | − | 29.8672i | −1.78974 | − | 1.41743i | ||||
\(445\) | 20.3522 | + | 1.53732i | 0.964785 | + | 0.0728758i | ||||
\(446\) | 10.3817 | + | 3.61309i | 0.491587 | + | 0.171085i | ||||
\(447\) | −26.7055 | − | 26.7055i | −1.26313 | − | 1.26313i | ||||
\(448\) | 11.2178 | + | 31.0487i | 0.529991 | + | 1.46691i | ||||
\(449\) | 26.5330i | 1.25217i | 0.779756 | + | 0.626084i | \(0.215343\pi\) | ||||
−0.779756 | + | 0.626084i | \(0.784657\pi\) | |||||||
\(450\) | 30.4845 | − | 9.41987i | 1.43705 | − | 0.444057i | ||||
\(451\) | − | 13.5579i | − | 0.638416i | ||||||
\(452\) | −6.06342 | + | 0.703872i | −0.285199 | + | 0.0331074i | ||||
\(453\) | −27.1232 | − | 27.1232i | −1.27436 | − | 1.27436i | ||||
\(454\) | −3.05601 | + | 8.78097i | −0.143426 | + | 0.412111i | ||||
\(455\) | 4.08579 | + | 0.308623i | 0.191545 | + | 0.0144685i | ||||
\(456\) | −6.54315 | + | 4.15759i | −0.306411 | + | 0.194697i | ||||
\(457\) | 12.1440 | − | 12.1440i | 0.568072 | − | 0.568072i | −0.363516 | − | 0.931588i | \(-0.618424\pi\) |
0.931588 | + | 0.363516i | \(0.118424\pi\) | |||||||
\(458\) | −9.42804 | + | 4.55988i | −0.440543 | + | 0.213069i | ||||
\(459\) | −21.3928 | −0.998529 | ||||||||
\(460\) | −14.1912 | + | 0.570439i | −0.661669 | + | 0.0265969i | ||||
\(461\) | −30.9596 | −1.44193 | −0.720967 | − | 0.692970i | \(-0.756302\pi\) | ||||
−0.720967 | + | 0.692970i | \(0.756302\pi\) | |||||||
\(462\) | −47.8264 | + | 23.1313i | −2.22509 | + | 1.07616i | ||||
\(463\) | 1.55496 | − | 1.55496i | 0.0722653 | − | 0.0722653i | −0.670050 | − | 0.742316i | \(-0.733728\pi\) |
0.742316 | + | 0.670050i | \(0.233728\pi\) | |||||||
\(464\) | 32.4794 | − | 7.64375i | 1.50782 | − | 0.354852i | ||||
\(465\) | 1.33206 | − | 1.14496i | 0.0617730 | − | 0.0530962i | ||||
\(466\) | −12.8247 | + | 36.8499i | −0.594093 | + | 1.70704i | ||||
\(467\) | 5.44589 | + | 5.44589i | 0.252006 | + | 0.252006i | 0.821793 | − | 0.569787i | \(-0.192974\pi\) |
−0.569787 | + | 0.821793i | \(0.692974\pi\) | |||||||
\(468\) | −0.462090 | − | 3.98062i | −0.0213601 | − | 0.184004i | ||||
\(469\) | 4.92555i | 0.227441i | ||||||||
\(470\) | −33.7050 | − | 14.6616i | −1.55469 | − | 0.676288i | ||||
\(471\) | 41.3007i | 1.90304i | ||||||||
\(472\) | −5.19121 | − | 1.15730i | −0.238945 | − | 0.0532690i | ||||
\(473\) | 5.71185 | + | 5.71185i | 0.262631 | + | 0.262631i | ||||
\(474\) | 62.0643 | + | 21.6000i | 2.85071 | + | 0.992121i | ||||
\(475\) | 4.94327 | + | 0.751073i | 0.226813 | + | 0.0344616i | ||||
\(476\) | −26.4460 | + | 33.3923i | −1.21215 | + | 1.53053i | ||||
\(477\) | 0.883429 | − | 0.883429i | 0.0404494 | − | 0.0404494i | ||||
\(478\) | −3.67065 | − | 7.58947i | −0.167892 | − | 0.347134i | ||||
\(479\) | 31.7741 | 1.45180 | 0.725899 | − | 0.687801i | \(-0.241424\pi\) | ||||
0.725899 | + | 0.687801i | \(0.241424\pi\) | |||||||
\(480\) | −34.1144 | − | 6.17862i | −1.55710 | − | 0.282014i | ||||
\(481\) | 3.89690 | 0.177683 | ||||||||
\(482\) | −1.25709 | − | 2.59917i | −0.0572589 | − | 0.118389i | ||||
\(483\) | 25.3993 | − | 25.3993i | 1.15571 | − | 1.15571i | ||||
\(484\) | 0.0388949 | − | 0.0491110i | 0.00176795 | − | 0.00223232i | ||||
\(485\) | −10.8802 | − | 12.6582i | −0.494043 | − | 0.574778i | ||||
\(486\) | −24.5748 | − | 8.55266i | −1.11473 | − | 0.387957i | ||||
\(487\) | 18.8991 | + | 18.8991i | 0.856399 | + | 0.856399i | 0.990912 | − | 0.134513i | \(-0.0429470\pi\) |
−0.134513 | + | 0.990912i | \(0.542947\pi\) | |||||||
\(488\) | 19.2883 | + | 4.30003i | 0.873141 | + | 0.194653i | ||||
\(489\) | − | 5.82337i | − | 0.263342i | ||||||
\(490\) | 11.6189 | + | 29.5098i | 0.524889 | + | 1.33312i | ||||
\(491\) | − | 5.90797i | − | 0.266623i | −0.991074 | − | 0.133311i | \(-0.957439\pi\) | ||
0.991074 | − | 0.133311i | \(-0.0425611\pi\) | |||||||
\(492\) | 2.58026 | + | 22.2274i | 0.116327 | + | 1.00209i | ||||
\(493\) | 30.4428 | + | 30.4428i | 1.37107 | + | 1.37107i | ||||
\(494\) | 0.206410 | − | 0.593088i | 0.00928682 | − | 0.0266843i | ||||
\(495\) | 2.52414 | − | 33.4165i | 0.113452 | − | 1.50196i | ||||
\(496\) | −1.11592 | + | 0.262622i | −0.0501064 | + | 0.0117921i | ||||
\(497\) | 19.5468 | − | 19.5468i | 0.876795 | − | 0.876795i | ||||
\(498\) | 23.1467 | − | 11.1949i | 1.03723 | − | 0.501656i | ||||
\(499\) | −2.61746 | −0.117173 | −0.0585867 | − | 0.998282i | \(-0.518659\pi\) | ||||
−0.0585867 | + | 0.998282i | \(0.518659\pi\) | |||||||
\(500\) | 13.9694 | + | 17.4601i | 0.624732 | + | 0.780840i | ||||
\(501\) | −45.9973 | −2.05501 | ||||||||
\(502\) | 7.80236 | − | 3.77362i | 0.348237 | − | 0.168425i | ||||
\(503\) | −3.79043 | + | 3.79043i | −0.169007 | + | 0.169007i | −0.786543 | − | 0.617536i | \(-0.788131\pi\) |
0.617536 | + | 0.786543i | \(0.288131\pi\) | |||||||
\(504\) | 44.4522 | − | 28.2454i | 1.98006 | − | 1.25815i | ||||
\(505\) | 1.38048 | − | 18.2758i | 0.0614304 | − | 0.813261i | ||||
\(506\) | −4.90309 | + | 14.0883i | −0.217969 | + | 0.626300i | ||||
\(507\) | −24.8129 | − | 24.8129i | −1.10198 | − | 1.10198i | ||||
\(508\) | 24.5362 | − | 2.84828i | 1.08862 | − | 0.126372i | ||||
\(509\) | 9.70891i | 0.430340i | 0.976577 | + | 0.215170i | \(0.0690305\pi\) | ||||
−0.976577 | + | 0.215170i | \(0.930969\pi\) | |||||||
\(510\) | −16.3883 | − | 41.6232i | −0.725688 | − | 1.84311i | ||||
\(511\) | − | 39.3864i | − | 1.74235i | ||||||
\(512\) | 17.9026 | + | 13.8382i | 0.791191 | + | 0.611570i | ||||
\(513\) | 2.93094 | + | 2.93094i | 0.129404 | + | 0.129404i | ||||
\(514\) | −6.75883 | − | 2.35225i | −0.298119 | − | 0.103753i | ||||
\(515\) | −27.2565 | − | 31.7107i | −1.20107 | − | 1.39734i | ||||
\(516\) | −10.4513 | − | 8.27720i | −0.460093 | − | 0.364383i | ||||
\(517\) | −27.2976 | + | 27.2976i | −1.20055 | + | 1.20055i | ||||
\(518\) | 22.2992 | + | 46.1059i | 0.979769 | + | 2.02578i | ||||
\(519\) | 68.1217 | 2.99021 | ||||||||
\(520\) | 2.47708 | − | 1.32334i | 0.108627 | − | 0.0580323i | ||||
\(521\) | 21.3337 | 0.934645 | 0.467323 | − | 0.884087i | \(-0.345219\pi\) | ||||
0.467323 | + | 0.884087i | \(0.345219\pi\) | |||||||
\(522\) | −23.1769 | − | 47.9207i | −1.01442 | − | 2.09743i | ||||
\(523\) | 5.64962 | − | 5.64962i | 0.247041 | − | 0.247041i | −0.572714 | − | 0.819755i | \(-0.694110\pi\) |
0.819755 | + | 0.572714i | \(0.194110\pi\) | |||||||
\(524\) | −10.5947 | − | 8.39074i | −0.462830 | − | 0.366551i | ||||
\(525\) | −55.9108 | − | 8.49501i | −2.44015 | − | 0.370753i | ||||
\(526\) | −8.91097 | − | 3.10125i | −0.388537 | − | 0.135221i | ||||
\(527\) | −1.04595 | − | 1.04595i | −0.0455621 | − | 0.0455621i | ||||
\(528\) | −19.1649 | + | 30.9618i | −0.834046 | + | 1.34744i | ||||
\(529\) | 12.9142i | 0.561486i | ||||||||
\(530\) | 0.802893 | + | 0.349256i | 0.0348754 | + | 0.0151707i | ||||
\(531\) | 8.48503i | 0.368219i | ||||||||
\(532\) | 8.19821 | − | 0.951689i | 0.355438 | − | 0.0412609i | ||||
\(533\) | −1.28172 | − | 1.28172i | −0.0555175 | − | 0.0555175i | ||||
\(534\) | −11.6291 | + | 33.4146i | −0.503242 | + | 1.44599i | ||||
\(535\) | −21.3055 | + | 18.3129i | −0.921115 | + | 0.791734i | ||||
\(536\) | 1.81056 | + | 2.84944i | 0.0782044 | + | 0.123077i | ||||
\(537\) | 13.4702 | − | 13.4702i | 0.581281 | − | 0.581281i | ||||
\(538\) | −6.79692 | + | 3.28734i | −0.293036 | + | 0.141727i | ||||
\(539\) | 33.3101 | 1.43477 | ||||||||
\(540\) | 0.744520 | + | 18.5219i | 0.0320390 | + | 0.797058i | ||||
\(541\) | 13.0694 | 0.561896 | 0.280948 | − | 0.959723i | \(-0.409351\pi\) | ||||
0.280948 | + | 0.959723i | \(0.409351\pi\) | |||||||
\(542\) | −8.72571 | + | 4.22020i | −0.374801 | + | 0.181273i | ||||
\(543\) | 18.7797 | − | 18.7797i | 0.805914 | − | 0.805914i | ||||
\(544\) | −3.02450 | + | 29.0387i | −0.129674 | + | 1.24502i | ||||
\(545\) | −13.1222 | − | 0.991194i | −0.562092 | − | 0.0424581i | ||||
\(546\) | −2.33460 | + | 6.70812i | −0.0999117 | + | 0.287081i | ||||
\(547\) | −5.01001 | − | 5.01001i | −0.214212 | − | 0.214212i | 0.591842 | − | 0.806054i | \(-0.298401\pi\) |
−0.806054 | + | 0.591842i | \(0.798401\pi\) | |||||||
\(548\) | −1.43673 | − | 12.3766i | −0.0613743 | − | 0.528702i | ||||
\(549\) | − | 31.5268i | − | 1.34553i | ||||||
\(550\) | 22.4386 | − | 6.93364i | 0.956785 | − | 0.295651i | ||||
\(551\) | − | 8.34169i | − | 0.355368i | ||||||
\(552\) | 5.35712 | − | 24.0300i | 0.228014 | − | 1.02279i | ||||
\(553\) | −49.4707 | − | 49.4707i | −2.10371 | − | 2.10371i | ||||
\(554\) | −0.510813 | − | 0.177776i | −0.0217024 | − | 0.00755299i | ||||
\(555\) | −53.6321 | − | 4.05114i | −2.27656 | − | 0.171962i | ||||
\(556\) | −4.94342 | + | 6.24186i | −0.209648 | + | 0.264714i | ||||
\(557\) | −3.98866 | + | 3.98866i | −0.169005 | + | 0.169005i | −0.786542 | − | 0.617537i | \(-0.788131\pi\) |
0.617537 | + | 0.786542i | \(0.288131\pi\) | |||||||
\(558\) | 0.796307 | + | 1.64645i | 0.0337104 | + | 0.0696998i | ||||
\(559\) | 1.07996 | 0.0456775 | ||||||||
\(560\) | 29.8316 | + | 21.7349i | 1.26061 | + | 0.918467i | ||||
\(561\) | −46.9835 | −1.98364 | ||||||||
\(562\) | −14.6090 | − | 30.2057i | −0.616243 | − | 1.27415i | ||||
\(563\) | 10.0011 | − | 10.0011i | 0.421496 | − | 0.421496i | −0.464223 | − | 0.885719i | \(-0.653666\pi\) |
0.885719 | + | 0.464223i | \(0.153666\pi\) | |||||||
\(564\) | 39.5577 | − | 49.9479i | 1.66568 | − | 2.10319i | ||||
\(565\) | −5.17552 | + | 4.44856i | −0.217736 | + | 0.187152i | ||||
\(566\) | 0.605289 | + | 0.210656i | 0.0254422 | + | 0.00885454i | ||||
\(567\) | 6.34977 | + | 6.34977i | 0.266665 | + | 0.266665i | ||||
\(568\) | 4.12274 | − | 18.4930i | 0.172986 | − | 0.775950i | ||||
\(569\) | − | 11.0692i | − | 0.464044i | −0.972711 | − | 0.232022i | \(-0.925466\pi\) | ||
0.972711 | − | 0.232022i | \(-0.0745341\pi\) | |||||||
\(570\) | −3.45733 | + | 7.94794i | −0.144812 | + | 0.332903i | ||||
\(571\) | − | 11.3312i | − | 0.474197i | −0.971486 | − | 0.237099i | \(-0.923804\pi\) | ||
0.971486 | − | 0.237099i | \(-0.0761964\pi\) | |||||||
\(572\) | −0.340129 | − | 2.93000i | −0.0142215 | − | 0.122509i | ||||
\(573\) | 28.8544 | + | 28.8544i | 1.20541 | + | 1.20541i | ||||
\(574\) | 7.83023 | − | 22.4990i | 0.326827 | − | 0.939088i | ||||
\(575\) | −12.7875 | + | 9.41417i | −0.533274 | + | 0.392598i | ||||
\(576\) | 15.3331 | − | 32.6801i | 0.638878 | − | 1.36167i | ||||
\(577\) | 9.74084 | − | 9.74084i | 0.405517 | − | 0.405517i | −0.474655 | − | 0.880172i | \(-0.657427\pi\) |
0.880172 | + | 0.474655i | \(0.157427\pi\) | |||||||
\(578\) | −12.2695 | + | 5.93414i | −0.510343 | + | 0.246828i | ||||
\(579\) | 22.6160 | 0.939887 | ||||||||
\(580\) | 25.2980 | − | 27.4169i | 1.05044 | − | 1.13843i | ||||
\(581\) | −27.3733 | −1.13563 | ||||||||
\(582\) | 26.0477 | − | 12.5980i | 1.07971 | − | 0.522203i | ||||
\(583\) | 0.650262 | − | 0.650262i | 0.0269311 | − | 0.0269311i | ||||
\(584\) | −14.4779 | − | 22.7851i | −0.599100 | − | 0.942854i | ||||
\(585\) | −2.92047 | − | 3.39772i | −0.120746 | − | 0.140478i | ||||
\(586\) | −8.02742 | + | 23.0656i | −0.331610 | + | 0.952830i | ||||
\(587\) | −6.85139 | − | 6.85139i | −0.282787 | − | 0.282787i | 0.551432 | − | 0.834220i | \(-0.314081\pi\) |
−0.834220 | + | 0.551432i | \(0.814081\pi\) | |||||||
\(588\) | −54.6099 | + | 6.33938i | −2.25207 | + | 0.261432i | ||||
\(589\) | 0.286602i | 0.0118092i | ||||||||
\(590\) | −5.53300 | + | 2.17851i | −0.227790 | + | 0.0896879i | ||||
\(591\) | − | 60.2330i | − | 2.47765i | ||||||
\(592\) | 29.8480 | + | 18.4755i | 1.22675 | + | 0.759338i | ||||
\(593\) | −33.6118 | − | 33.6118i | −1.38027 | − | 1.38027i | −0.844122 | − | 0.536151i | \(-0.819878\pi\) |
−0.536151 | − | 0.844122i | \(-0.680122\pi\) | |||||||
\(594\) | 18.3876 | + | 6.39936i | 0.754452 | + | 0.262569i | ||||
\(595\) | −3.58710 | + | 47.4887i | −0.147057 | + | 1.94685i | ||||
\(596\) | 21.6040 | + | 17.1099i | 0.884935 | + | 0.700850i | ||||
\(597\) | 41.6912 | − | 41.6912i | 1.70631 | − | 1.70631i | ||||
\(598\) | 0.868340 | + | 1.79539i | 0.0355090 | + | 0.0734188i | ||||
\(599\) | −7.79214 | −0.318378 | −0.159189 | − | 0.987248i | \(-0.550888\pi\) | ||||
−0.159189 | + | 0.987248i | \(0.550888\pi\) | |||||||
\(600\) | −35.4672 | + | 15.6377i | −1.44794 | + | 0.638406i | ||||
\(601\) | 9.32575 | 0.380405 | 0.190203 | − | 0.981745i | \(-0.439085\pi\) | ||||
0.190203 | + | 0.981745i | \(0.439085\pi\) | |||||||
\(602\) | 6.17985 | + | 12.7775i | 0.251872 | + | 0.520772i | ||||
\(603\) | 3.80839 | − | 3.80839i | 0.155090 | − | 0.155090i | ||||
\(604\) | 21.9420 | + | 17.3776i | 0.892806 | + | 0.707083i | ||||
\(605\) | 0.00527565 | − | 0.0698430i | 0.000214486 | − | 0.00283952i | ||||
\(606\) | 30.0055 | + | 10.4427i | 1.21889 | + | 0.424206i | ||||
\(607\) | 15.5800 | + | 15.5800i | 0.632372 | + | 0.632372i | 0.948662 | − | 0.316291i | \(-0.102437\pi\) |
−0.316291 | + | 0.948662i | \(0.602437\pi\) | |||||||
\(608\) | 4.39285 | − | 3.56410i | 0.178154 | − | 0.144543i | ||||
\(609\) | 94.3487i | 3.82320i | ||||||||
\(610\) | 20.5583 | − | 8.09442i | 0.832380 | − | 0.327734i | ||||
\(611\) | 5.16126i | 0.208802i | ||||||||
\(612\) | 46.2664 | − | 5.37083i | 1.87021 | − | 0.217103i | ||||
\(613\) | 21.5286 | + | 21.5286i | 0.869534 | + | 0.869534i | 0.992421 | − | 0.122887i | \(-0.0392153\pi\) |
−0.122887 | + | 0.992421i | \(0.539215\pi\) | |||||||
\(614\) | −2.58877 | + | 7.43844i | −0.104474 | + | 0.300191i | ||||
\(615\) | 16.3076 | + | 18.9725i | 0.657584 | + | 0.765044i | ||||
\(616\) | 32.7198 | − | 20.7905i | 1.31832 | − | 0.837673i | ||||
\(617\) | −0.647959 | + | 0.647959i | −0.0260858 | + | 0.0260858i | −0.720029 | − | 0.693944i | \(-0.755872\pi\) |
0.693944 | + | 0.720029i | \(0.255872\pi\) | |||||||
\(618\) | 65.2535 | − | 31.5599i | 2.62488 | − | 1.26953i | ||||
\(619\) | 30.9040 | 1.24214 | 0.621068 | − | 0.783757i | \(-0.286699\pi\) | ||||
0.621068 | + | 0.783757i | \(0.286699\pi\) | |||||||
\(620\) | −0.869183 | + | 0.941986i | −0.0349072 | + | 0.0378311i | ||||
\(621\) | −13.1637 | −0.528241 | ||||||||
\(622\) | −7.46995 | + | 3.61285i | −0.299518 | + | 0.144862i | ||||
\(623\) | 26.6343 | − | 26.6343i | 1.06708 | − | 1.06708i | ||||
\(624\) | 1.11524 | + | 4.73883i | 0.0446454 | + | 0.189705i | ||||
\(625\) | 23.8718 | + | 7.42551i | 0.954871 | + | 0.297020i | ||||
\(626\) | 7.57415 | − | 21.7632i | 0.302724 | − | 0.869832i | ||||
\(627\) | 6.43702 | + | 6.43702i | 0.257070 | + | 0.257070i | ||||
\(628\) | −3.47513 | − | 29.9361i | −0.138673 | − | 1.19458i | ||||
\(629\) | 45.2933i | 1.80596i | ||||||||
\(630\) | 23.4881 | − | 53.9960i | 0.935789 | − | 2.15125i | ||||
\(631\) | 2.36911i | 0.0943127i | 0.998888 | + | 0.0471564i | \(0.0150159\pi\) | ||||
−0.998888 | + | 0.0471564i | \(0.984984\pi\) | |||||||
\(632\) | −46.8036 | − | 10.4341i | −1.86175 | − | 0.415048i | ||||
\(633\) | 54.4762 | + | 54.4762i | 2.16524 | + | 2.16524i | ||||
\(634\) | 26.8227 | + | 9.33501i | 1.06527 | + | 0.370741i | ||||
\(635\) | 20.9432 | − | 18.0015i | 0.831106 | − | 0.714368i | ||||
\(636\) | −0.942311 | + | 1.18982i | −0.0373651 | + | 0.0471794i | ||||
\(637\) | 3.14903 | − | 3.14903i | 0.124769 | − | 0.124769i | ||||
\(638\) | −17.0597 | − | 35.2728i | −0.675400 | − | 1.39646i | ||||
\(639\) | −30.2269 | −1.19576 | ||||||||
\(640\) | 25.2471 | + | 1.60801i | 0.997978 | + | 0.0635621i | ||||
\(641\) | −4.82531 | −0.190588 | −0.0952941 | − | 0.995449i | \(-0.530379\pi\) | ||||
−0.0952941 | + | 0.995449i | \(0.530379\pi\) | |||||||
\(642\) | −21.2042 | − | 43.8419i | −0.836862 | − | 1.73030i | ||||
\(643\) | −8.61139 | + | 8.61139i | −0.339600 | + | 0.339600i | −0.856217 | − | 0.516617i | \(-0.827191\pi\) |
0.516617 | + | 0.856217i | \(0.327191\pi\) | |||||||
\(644\) | −16.2731 | + | 20.5474i | −0.641250 | + | 0.809681i | ||||
\(645\) | −14.8633 | − | 1.12271i | −0.585240 | − | 0.0442066i | ||||
\(646\) | 6.89340 | + | 2.39908i | 0.271217 | + | 0.0943907i | ||||
\(647\) | 7.54307 | + | 7.54307i | 0.296549 | + | 0.296549i | 0.839660 | − | 0.543112i | \(-0.182754\pi\) |
−0.543112 | + | 0.839660i | \(0.682754\pi\) | |||||||
\(648\) | 6.00744 | + | 1.33927i | 0.235994 | + | 0.0526113i | ||||
\(649\) | 6.24554i | 0.245159i | ||||||||
\(650\) | 1.46579 | − | 2.77676i | 0.0574931 | − | 0.108914i | ||||
\(651\) | − | 3.24161i | − | 0.127049i | ||||||
\(652\) | 0.489990 | + | 4.22096i | 0.0191895 | + | 0.165306i | ||||
\(653\) | 18.3174 | + | 18.3174i | 0.716815 | + | 0.716815i | 0.967952 | − | 0.251137i | \(-0.0808044\pi\) |
−0.251137 | + | 0.967952i | \(0.580804\pi\) | |||||||
\(654\) | 7.49796 | − | 21.5442i | 0.293193 | − | 0.842446i | ||||
\(655\) | −15.0671 | − | 1.13811i | −0.588722 | − | 0.0444696i | ||||
\(656\) | −3.74051 | − | 15.8940i | −0.146042 | − | 0.620556i | ||||
\(657\) | −30.4532 | + | 30.4532i | −1.18809 | + | 1.18809i | ||||
\(658\) | −61.0651 | + | 29.5342i | −2.38057 | + | 1.15136i | ||||
\(659\) | −27.5365 | −1.07267 | −0.536336 | − | 0.844005i | \(-0.680192\pi\) | ||||
−0.536336 | + | 0.844005i | \(0.680192\pi\) | |||||||
\(660\) | 1.63514 | + | 40.6785i | 0.0636476 | + | 1.58341i | ||||
\(661\) | −4.37109 | −0.170016 | −0.0850078 | − | 0.996380i | \(-0.527092\pi\) | ||||
−0.0850078 | + | 0.996380i | \(0.527092\pi\) | |||||||
\(662\) | −25.5873 | + | 12.3753i | −0.994480 | + | 0.480981i | ||||
\(663\) | −4.44167 | + | 4.44167i | −0.172500 | + | 0.172500i | ||||
\(664\) | −15.8355 | + | 10.0620i | −0.614536 | + | 0.390483i | ||||
\(665\) | 6.99770 | − | 6.01479i | 0.271359 | − | 0.233244i | ||||
\(666\) | 18.4072 | − | 52.8901i | 0.713263 | − | 2.04945i | ||||
\(667\) | 18.7325 | + | 18.7325i | 0.725323 | + | 0.725323i | ||||
\(668\) | 33.3403 | − | 3.87031i | 1.28997 | − | 0.149747i | ||||
\(669\) | 21.3042i | 0.823668i | ||||||||
\(670\) | 3.46120 | + | 1.50561i | 0.133718 | + | 0.0581670i | ||||
\(671\) | − | 23.2058i | − | 0.895849i | ||||||
\(672\) | −49.6854 | + | 40.3118i | −1.91666 | + | 1.55506i | ||||
\(673\) | −33.4629 | − | 33.4629i | −1.28990 | − | 1.28990i | −0.934845 | − | 0.355057i | \(-0.884461\pi\) |
−0.355057 | − | 0.934845i | \(-0.615539\pi\) | |||||||
\(674\) | 11.6079 | + | 4.03984i | 0.447118 | + | 0.155609i | ||||
\(675\) | 12.2871 | + | 16.6898i | 0.472930 | + | 0.642390i | ||||
\(676\) | 20.0730 | + | 15.8973i | 0.772037 | + | 0.611436i | ||||
\(677\) | 7.25738 | − | 7.25738i | 0.278924 | − | 0.278924i | −0.553756 | − | 0.832679i | \(-0.686806\pi\) |
0.832679 | + | 0.553756i | \(0.186806\pi\) | |||||||
\(678\) | −5.15092 | − | 10.6501i | −0.197820 | − | 0.409014i | ||||
\(679\) | −30.8040 | −1.18215 | ||||||||
\(680\) | 15.3810 | + | 28.7909i | 0.589836 | + | 1.10408i | ||||
\(681\) | −18.0194 | −0.690505 | ||||||||
\(682\) | 0.586134 | + | 1.21190i | 0.0224442 | + | 0.0464059i | ||||
\(683\) | 7.64579 | − | 7.64579i | 0.292558 | − | 0.292558i | −0.545532 | − | 0.838090i | \(-0.683672\pi\) |
0.838090 | + | 0.545532i | \(0.183672\pi\) | |||||||
\(684\) | −7.07462 | − | 5.60294i | −0.270505 | − | 0.214234i | ||||
\(685\) | −9.08034 | − | 10.5642i | −0.346942 | − | 0.403638i | ||||
\(686\) | 16.6954 | + | 5.81043i | 0.637433 | + | 0.221843i | ||||
\(687\) | −14.3523 | − | 14.3523i | −0.547573 | − | 0.547573i | ||||
\(688\) | 8.27189 | + | 5.12018i | 0.315363 | + | 0.195205i | ||||
\(689\) | − | 0.122947i | − | 0.00468393i | ||||||
\(690\) | −10.0843 | − | 25.6122i | −0.383903 | − | 0.975039i | ||||
\(691\) | 38.9576i | 1.48202i | 0.671496 | + | 0.741008i | \(0.265652\pi\) | ||||
−0.671496 | + | 0.741008i | \(0.734348\pi\) | |||||||
\(692\) | −49.3767 | + | 5.73189i | −1.87702 | + | 0.217894i | ||||
\(693\) | −43.7312 | − | 43.7312i | −1.66121 | − | 1.66121i | ||||
\(694\) | −13.6868 | + | 39.3270i | −0.519544 | + | 1.49283i | ||||
\(695\) | −0.670519 | + | 8.87683i | −0.0254342 | + | 0.336717i | ||||
\(696\) | 34.6813 | + | 54.5809i | 1.31459 | + | 2.06888i | ||||
\(697\) | 14.8973 | − | 14.8973i | 0.564276 | − | 0.564276i | ||||
\(698\) | 0.500216 | − | 0.241930i | 0.0189334 | − | 0.00915717i | ||||
\(699\) | −75.6195 | −2.86019 | ||||||||
\(700\) | 41.2407 | + | 1.45300i | 1.55875 | + | 0.0549183i | ||||
\(701\) | −14.0147 | −0.529328 | −0.264664 | − | 0.964341i | \(-0.585261\pi\) | ||||
−0.264664 | + | 0.964341i | \(0.585261\pi\) | |||||||
\(702\) | 2.34328 | − | 1.13333i | 0.0884414 | − | 0.0427748i | ||||
\(703\) | 6.20546 | − | 6.20546i | 0.234043 | − | 0.234043i | ||||
\(704\) | 11.2862 | − | 24.0547i | 0.425363 | − | 0.906595i | ||||
\(705\) | 5.36555 | − | 71.0332i | 0.202078 | − | 2.67527i | ||||
\(706\) | 8.52205 | − | 24.4868i | 0.320732 | − | 0.921573i | ||||
\(707\) | −23.9170 | − | 23.9170i | −0.899492 | − | 0.899492i | ||||
\(708\) | −1.18862 | − | 10.2392i | −0.0446709 | − | 0.384812i | ||||
\(709\) | − | 15.5953i | − | 0.585694i | −0.956159 | − | 0.292847i | \(-0.905397\pi\) | ||
0.956159 | − | 0.292847i | \(-0.0946026\pi\) | |||||||
\(710\) | −7.76068 | − | 19.7106i | −0.291253 | − | 0.739726i | ||||
\(711\) | 76.5005i | 2.86899i | ||||||||
\(712\) | 5.61760 | − | 25.1984i | 0.210528 | − | 0.944351i | ||||
\(713\) | −0.643606 | − | 0.643606i | −0.0241032 | − | 0.0241032i | ||||
\(714\) | −77.9678 | − | 27.1348i | −2.91787 | − | 1.01550i | ||||
\(715\) | −2.14966 | − | 2.50094i | −0.0803925 | − | 0.0935299i | ||||
\(716\) | −8.63020 | + | 10.8970i | −0.322526 | + | 0.407241i | ||||
\(717\) | 11.5534 | − | 11.5534i | 0.431471 | − | 0.431471i | ||||
\(718\) | 7.32821 | + | 15.1519i | 0.273486 | + | 0.565462i | ||||
\(719\) | 23.0710 | 0.860402 | 0.430201 | − | 0.902733i | \(-0.358443\pi\) | ||||
0.430201 | + | 0.902733i | \(0.358443\pi\) | |||||||
\(720\) | −6.26026 | − | 39.8707i | −0.233306 | − | 1.48589i | ||||
\(721\) | −77.1688 | −2.87392 | ||||||||
\(722\) | −0.615749 | − | 1.27313i | −0.0229158 | − | 0.0473809i | ||||
\(723\) | 3.95671 | − | 3.95671i | 0.147152 | − | 0.147152i | ||||
\(724\) | −12.0320 | + | 15.1923i | −0.447164 | + | 0.564617i | ||||
\(725\) | 6.26522 | − | 41.2352i | 0.232684 | − | 1.53144i | ||||
\(726\) | 0.114670 | + | 0.0399080i | 0.00425579 | + | 0.00148113i | ||||
\(727\) | 20.6037 | + | 20.6037i | 0.764147 | + | 0.764147i | 0.977069 | − | 0.212922i | \(-0.0682980\pi\) |
−0.212922 | + | 0.977069i | \(0.568298\pi\) | |||||||
\(728\) | 1.12776 | − | 5.05870i | 0.0417975 | − | 0.187488i | ||||
\(729\) | − | 43.9015i | − | 1.62598i | ||||||
\(730\) | −27.6770 | − | 12.0394i | −1.02437 | − | 0.445599i | ||||
\(731\) | 12.5523i | 0.464263i | ||||||||
\(732\) | 4.41639 | + | 38.0445i | 0.163234 | + | 1.40616i | ||||
\(733\) | −25.5311 | − | 25.5311i | −0.943014 | − | 0.943014i | 0.0554473 | − | 0.998462i | \(-0.482342\pi\) |
−0.998462 | + | 0.0554473i | \(0.982342\pi\) | |||||||
\(734\) | 4.65796 | − | 13.3839i | 0.171928 | − | 0.494010i | ||||
\(735\) | −46.6130 | + | 40.0657i | −1.71935 | + | 1.47784i | ||||
\(736\) | −1.86108 | + | 17.8685i | −0.0686002 | + | 0.658641i | ||||
\(737\) | 2.80322 | − | 2.80322i | 0.103258 | − | 0.103258i | ||||
\(738\) | −23.4502 | + | 11.3417i | −0.863215 | + | 0.417495i | ||||
\(739\) | 42.1569 | 1.55077 | 0.775383 | − | 0.631491i | \(-0.217557\pi\) | ||||
0.775383 | + | 0.631491i | \(0.217557\pi\) | |||||||
\(740\) | 39.2151 | − | 1.57631i | 1.44158 | − | 0.0579465i | ||||
\(741\) | 1.21707 | 0.0447103 | ||||||||
\(742\) | 1.45464 | − | 0.703540i | 0.0534017 | − | 0.0258278i | ||||
\(743\) | −4.93815 | + | 4.93815i | −0.181163 | + | 0.181163i | −0.791863 | − | 0.610699i | \(-0.790888\pi\) |
0.610699 | + | 0.791863i | \(0.290888\pi\) | |||||||
\(744\) | −1.19157 | − | 1.87528i | −0.0436852 | − | 0.0687511i | ||||
\(745\) | 30.7241 | + | 2.32077i | 1.12564 | + | 0.0850264i | ||||
\(746\) | 17.3184 | − | 49.7617i | 0.634071 | − | 1.82191i | ||||
\(747\) | 21.1647 | + | 21.1647i | 0.774377 | + | 0.774377i | ||||
\(748\) | 34.0551 | − | 3.95328i | 1.24518 | − | 0.144546i | ||||
\(749\) | 51.8474i | 1.89446i | ||||||||
\(750\) | −23.0600 | + | 36.6921i | −0.842032 | + | 1.33981i | ||||
\(751\) | 28.2717i | 1.03165i | 0.856694 | + | 0.515825i | \(0.172515\pi\) | ||||
−0.856694 | + | 0.515825i | \(0.827485\pi\) | |||||||
\(752\) | −24.4699 | + | 39.5323i | −0.892327 | + | 1.44159i | ||||
\(753\) | 11.8775 | + | 11.8775i | 0.432841 | + | 0.432841i | ||||
\(754\) | −4.94735 | − | 1.72181i | −0.180172 | − | 0.0627046i | ||||
\(755\) | 31.2047 | + | 2.35707i | 1.13565 | + | 0.0857825i | ||||
\(756\) | 26.8178 | + | 21.2391i | 0.975355 | + | 0.772460i | ||||
\(757\) | 10.6188 | − | 10.6188i | 0.385946 | − | 0.385946i | −0.487293 | − | 0.873239i | \(-0.662016\pi\) |
0.873239 | + | 0.487293i | \(0.162016\pi\) | |||||||
\(758\) | −8.35099 | − | 17.2666i | −0.303321 | − | 0.627150i | ||||
\(759\) | −28.9105 | −1.04938 | ||||||||
\(760\) | 1.83723 | − | 6.05183i | 0.0666433 | − | 0.219523i | ||||
\(761\) | 44.9037 | 1.62776 | 0.813879 | − | 0.581034i | \(-0.197352\pi\) | ||||
0.813879 | + | 0.581034i | \(0.197352\pi\) | |||||||
\(762\) | 20.8437 | + | 43.0965i | 0.755086 | + | 1.56122i | ||||
\(763\) | −17.1726 | + | 17.1726i | −0.621691 | + | 0.621691i | ||||
\(764\) | −23.3424 | − | 18.4867i | −0.844499 | − | 0.668825i | ||||
\(765\) | 39.4913 | − | 33.9443i | 1.42781 | − | 1.22726i | ||||
\(766\) | 11.1850 | + | 3.89267i | 0.404130 | + | 0.140648i | ||||
\(767\) | 0.590434 | + | 0.590434i | 0.0213193 | + | 0.0213193i | ||||
\(768\) | −13.9250 | + | 41.5841i | −0.502476 | + | 1.50054i | ||||
\(769\) | 17.3394i | 0.625274i | 0.949873 | + | 0.312637i | \(0.101212\pi\) | ||||
−0.949873 | + | 0.312637i | \(0.898788\pi\) | |||||||
\(770\) | 17.2888 | − | 39.7446i | 0.623045 | − | 1.43230i | ||||
\(771\) | − | 13.8698i | − | 0.499507i |