Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [245,2,Mod(13,245)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(245, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([21, 22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("245.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 245 = 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 245.s (of order \(28\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.95633484952\) |
Analytic rank: | \(0\) |
Dimension: | \(312\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 27.4 | ||
Character | \(\chi\) | \(=\) | 245.27 |
Dual form | 245.2.s.a.118.4 |
$q$-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 \(\left(\mathbb{Z}/245\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) |
\(\chi(n)\) | \(e\left(\frac{1}{14}\right)\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.27213 | − | 0.795054i | −1.60664 | − | 0.562188i | −0.629913 | − | 0.776666i | \(-0.716909\pi\) |
−0.976729 | + | 0.214478i | \(0.931195\pi\) | |||||||
\(3\) | −1.66209 | + | 1.04436i | −0.959607 | + | 0.602961i | −0.918173 | − | 0.396180i | \(-0.870335\pi\) |
−0.0414340 | + | 0.999141i | \(0.513193\pi\) | |||||||
\(4\) | 2.96682 | + | 2.36596i | 1.48341 | + | 1.18298i | ||||
\(5\) | −1.11505 | − | 1.93821i | −0.498666 | − | 0.866794i | ||||
\(6\) | 4.60681 | − | 1.05147i | 1.88072 | − | 0.429262i | ||||
\(7\) | 1.15495 | + | 2.38036i | 0.436529 | + | 0.899690i | ||||
\(8\) | −2.29851 | − | 3.65806i | −0.812647 | − | 1.29332i | ||||
\(9\) | 0.370199 | − | 0.768725i | 0.123400 | − | 0.256242i | ||||
\(10\) | 0.992565 | + | 5.29040i | 0.313877 | + | 1.67297i | ||||
\(11\) | 3.44400 | − | 1.65854i | 1.03840 | − | 0.500069i | 0.164607 | − | 0.986359i | \(-0.447364\pi\) |
0.873798 | + | 0.486290i | \(0.161650\pi\) | |||||||
\(12\) | −7.40203 | − | 0.834008i | −2.13678 | − | 0.240757i | ||||
\(13\) | −0.443151 | − | 0.155065i | −0.122908 | − | 0.0430074i | 0.268124 | − | 0.963384i | \(-0.413596\pi\) |
−0.391032 | + | 0.920377i | \(0.627882\pi\) | |||||||
\(14\) | −0.731680 | − | 6.32674i | −0.195550 | − | 1.69089i | ||||
\(15\) | 3.87750 | + | 2.05696i | 1.00117 | + | 0.531105i | ||||
\(16\) | 0.625368 | + | 2.73992i | 0.156342 | + | 0.684979i | ||||
\(17\) | −4.96562 | − | 0.559490i | −1.20434 | − | 0.135696i | −0.513104 | − | 0.858327i | \(-0.671504\pi\) |
−0.691235 | + | 0.722630i | \(0.742933\pi\) | |||||||
\(18\) | −1.45232 | + | 1.45232i | −0.342315 | + | 0.342315i | ||||
\(19\) | −6.30901 | −1.44739 | −0.723693 | − | 0.690122i | \(-0.757557\pi\) | ||||
−0.723693 | + | 0.690122i | \(0.757557\pi\) | |||||||
\(20\) | 1.27757 | − | 8.38849i | 0.285673 | − | 1.87572i | ||||
\(21\) | −4.40557 | − | 2.75018i | −0.961374 | − | 0.600139i | ||||
\(22\) | −9.14386 | + | 1.03027i | −1.94948 | + | 0.219653i | ||||
\(23\) | −0.290766 | − | 2.58062i | −0.0606290 | − | 0.538097i | −0.986911 | − | 0.161266i | \(-0.948442\pi\) |
0.926282 | − | 0.376831i | \(-0.122986\pi\) | |||||||
\(24\) | 7.64066 | + | 3.67955i | 1.55964 | + | 0.751084i | ||||
\(25\) | −2.51332 | + | 4.32241i | −0.502664 | + | 0.864482i | ||||
\(26\) | 0.883613 | + | 0.704658i | 0.173291 | + | 0.138195i | ||||
\(27\) | −0.471824 | − | 4.18755i | −0.0908025 | − | 0.805894i | ||||
\(28\) | −2.20531 | + | 9.79465i | −0.416765 | + | 1.85101i | ||||
\(29\) | −6.19979 | + | 4.94417i | −1.15127 | + | 0.918109i | −0.997547 | − | 0.0700041i | \(-0.977699\pi\) |
−0.153726 | + | 0.988113i | \(0.549127\pi\) | |||||||
\(30\) | −7.17481 | − | 7.75652i | −1.30993 | − | 1.41614i | ||||
\(31\) | − | 4.17280i | − | 0.749458i | −0.927134 | − | 0.374729i | \(-0.877736\pi\) | ||
0.927134 | − | 0.374729i | \(-0.122264\pi\) | |||||||
\(32\) | −0.209967 | + | 1.86351i | −0.0371173 | + | 0.329425i | ||||
\(33\) | −3.99211 | + | 6.35341i | −0.694938 | + | 1.10599i | ||||
\(34\) | 10.8377 | + | 5.21917i | 1.85865 | + | 0.895080i | ||||
\(35\) | 3.32581 | − | 4.89275i | 0.562164 | − | 0.827026i | ||||
\(36\) | 2.91709 | − | 1.40479i | 0.486181 | − | 0.234132i | ||||
\(37\) | 0.497357 | − | 4.41416i | 0.0817649 | − | 0.725684i | −0.884217 | − | 0.467076i | \(-0.845308\pi\) |
0.965982 | − | 0.258608i | \(-0.0832639\pi\) | |||||||
\(38\) | 14.3349 | + | 5.01600i | 2.32543 | + | 0.813703i | ||||
\(39\) | 0.898499 | − | 0.205077i | 0.143875 | − | 0.0328385i | ||||
\(40\) | −4.52713 | + | 8.53393i | −0.715802 | + | 1.34933i | ||||
\(41\) | −4.43529 | − | 1.01233i | −0.692676 | − | 0.158099i | −0.138331 | − | 0.990386i | \(-0.544174\pi\) |
−0.554345 | + | 0.832287i | \(0.687031\pi\) | |||||||
\(42\) | 7.82350 | + | 9.75145i | 1.20719 | + | 1.50468i | ||||
\(43\) | −4.01059 | − | 2.52002i | −0.611609 | − | 0.384299i | 0.190317 | − | 0.981723i | \(-0.439048\pi\) |
−0.801926 | + | 0.597423i | \(0.796191\pi\) | |||||||
\(44\) | 14.1418 | + | 3.22777i | 2.13195 | + | 0.486604i | ||||
\(45\) | −1.90274 | + | 0.139646i | −0.283644 | + | 0.0208172i | ||||
\(46\) | −1.39108 | + | 6.09470i | −0.205103 | + | 0.898614i | ||||
\(47\) | 1.01363 | − | 2.89678i | 0.147853 | − | 0.422539i | −0.846009 | − | 0.533169i | \(-0.821001\pi\) |
0.993862 | + | 0.110630i | \(0.0352868\pi\) | |||||||
\(48\) | −3.90087 | − | 3.90087i | −0.563043 | − | 0.563043i | ||||
\(49\) | −4.33220 | + | 5.49837i | −0.618886 | + | 0.785481i | ||||
\(50\) | 9.14715 | − | 7.82287i | 1.29360 | − | 1.10632i | ||||
\(51\) | 8.83760 | − | 4.25596i | 1.23751 | − | 0.595954i | ||||
\(52\) | −0.947871 | − | 1.50853i | −0.131446 | − | 0.209195i | ||||
\(53\) | −0.965710 | − | 8.57091i | −0.132650 | − | 1.17731i | −0.866920 | − | 0.498447i | \(-0.833904\pi\) |
0.734270 | − | 0.678858i | \(-0.237525\pi\) | |||||||
\(54\) | −2.25728 | + | 9.88980i | −0.307177 | + | 1.34583i | ||||
\(55\) | −7.05484 | − | 4.82583i | −0.951275 | − | 0.650715i | ||||
\(56\) | 6.05283 | − | 9.69614i | 0.808844 | − | 1.29570i | ||||
\(57\) | 10.4861 | − | 6.58887i | 1.38892 | − | 0.872717i | ||||
\(58\) | 18.0176 | − | 6.30465i | 2.36583 | − | 0.827841i | ||||
\(59\) | −0.222633 | − | 0.975417i | −0.0289843 | − | 0.126989i | 0.958366 | − | 0.285543i | \(-0.0921739\pi\) |
−0.987350 | + | 0.158554i | \(0.949317\pi\) | |||||||
\(60\) | 6.63716 | + | 15.2766i | 0.856854 | + | 1.97221i | ||||
\(61\) | 7.22830 | − | 5.76438i | 0.925489 | − | 0.738053i | −0.0398079 | − | 0.999207i | \(-0.512675\pi\) |
0.965297 | + | 0.261154i | \(0.0841032\pi\) | |||||||
\(62\) | −3.31761 | + | 9.48117i | −0.421336 | + | 1.20411i | ||||
\(63\) | 2.25740 | − | 0.00663153i | 0.284406 | − | 0.000835495i | ||||
\(64\) | 4.39742 | − | 9.13134i | 0.549677 | − | 1.14142i | ||||
\(65\) | 0.193587 | + | 1.03183i | 0.0240115 | + | 0.127982i | ||||
\(66\) | 14.1219 | − | 11.2619i | 1.73829 | − | 1.38624i | ||||
\(67\) | 0.0492506 | + | 0.0492506i | 0.00601692 | + | 0.00601692i | 0.710109 | − | 0.704092i | \(-0.248646\pi\) |
−0.704092 | + | 0.710109i | \(0.748646\pi\) | |||||||
\(68\) | −13.4084 | − | 13.4084i | −1.62600 | − | 1.62600i | ||||
\(69\) | 3.17838 | + | 3.98556i | 0.382632 | + | 0.479805i | ||||
\(70\) | −11.4467 | + | 8.47279i | −1.36814 | + | 1.01269i | ||||
\(71\) | −10.3584 | + | 12.9890i | −1.22931 | + | 1.54151i | −0.483509 | + | 0.875340i | \(0.660638\pi\) |
−0.745802 | + | 0.666167i | \(0.767934\pi\) | |||||||
\(72\) | −3.66295 | + | 0.412715i | −0.431683 | + | 0.0486390i | ||||
\(73\) | 4.53448 | + | 12.9588i | 0.530720 | + | 1.51671i | 0.827332 | + | 0.561713i | \(0.189858\pi\) |
−0.296612 | + | 0.954998i | \(0.595857\pi\) | |||||||
\(74\) | −4.63956 | + | 9.63415i | −0.539338 | + | 1.11995i | ||||
\(75\) | −0.336790 | − | 9.80903i | −0.0388892 | − | 1.13265i | ||||
\(76\) | −18.7177 | − | 14.9269i | −2.14707 | − | 1.71223i | ||||
\(77\) | 7.92556 | + | 6.28242i | 0.903201 | + | 0.715948i | ||||
\(78\) | −2.20456 | − | 0.248394i | −0.249617 | − | 0.0281251i | ||||
\(79\) | − | 7.72576i | − | 0.869216i | −0.900620 | − | 0.434608i | \(-0.856887\pi\) | ||
0.900620 | − | 0.434608i | \(-0.143113\pi\) | |||||||
\(80\) | 4.61322 | − | 4.26724i | 0.515773 | − | 0.477092i | ||||
\(81\) | 6.75344 | + | 8.46855i | 0.750382 | + | 0.940950i | ||||
\(82\) | 9.27272 | + | 5.82644i | 1.02400 | + | 0.643422i | ||||
\(83\) | −1.39348 | − | 3.98233i | −0.152954 | − | 0.437118i | 0.841754 | − | 0.539862i | \(-0.181523\pi\) |
−0.994708 | + | 0.102744i | \(0.967238\pi\) | |||||||
\(84\) | −6.56371 | − | 18.5827i | −0.716159 | − | 2.02754i | ||||
\(85\) | 4.45251 | + | 10.2483i | 0.482942 | + | 1.11158i | ||||
\(86\) | 7.10904 | + | 8.91445i | 0.766588 | + | 0.961270i | ||||
\(87\) | 5.14111 | − | 14.6925i | 0.551185 | − | 1.57520i | ||||
\(88\) | −13.9831 | − | 8.78618i | −1.49061 | − | 0.936610i | ||||
\(89\) | −7.51851 | − | 3.62072i | −0.796960 | − | 0.383796i | −0.00933959 | − | 0.999956i | \(-0.502973\pi\) |
−0.787621 | + | 0.616161i | \(0.788687\pi\) | |||||||
\(90\) | 4.43431 | + | 1.19549i | 0.467417 | + | 0.126016i | ||||
\(91\) | −0.142705 | − | 1.23395i | −0.0149595 | − | 0.129353i | ||||
\(92\) | 5.24300 | − | 8.34419i | 0.546621 | − | 0.869942i | ||||
\(93\) | 4.35791 | + | 6.93557i | 0.451894 | + | 0.719185i | ||||
\(94\) | −4.60620 | + | 5.77599i | −0.475093 | + | 0.595748i | ||||
\(95\) | 7.03487 | + | 12.2282i | 0.721762 | + | 1.25459i | ||||
\(96\) | −1.59719 | − | 3.31660i | −0.163012 | − | 0.338499i | ||||
\(97\) | −8.90923 | + | 8.90923i | −0.904595 | + | 0.904595i | −0.995829 | − | 0.0912343i | \(-0.970919\pi\) |
0.0912343 | + | 0.995829i | \(0.470919\pi\) | |||||||
\(98\) | 14.2148 | − | 9.04870i | 1.43592 | − | 0.914057i | ||||
\(99\) | − | 3.26148i | − | 0.327791i | ||||||
\(100\) | −17.6832 | + | 6.87740i | −1.76832 | + | 0.687740i | ||||
\(101\) | −18.9870 | − | 4.33366i | −1.88928 | − | 0.431216i | −0.889604 | − | 0.456732i | \(-0.849020\pi\) |
−0.999674 | + | 0.0255164i | \(0.991877\pi\) | |||||||
\(102\) | −23.4639 | + | 2.64375i | −2.32328 | + | 0.261770i | ||||
\(103\) | −0.581760 | + | 0.365544i | −0.0573225 | + | 0.0360181i | −0.560388 | − | 0.828230i | \(-0.689348\pi\) |
0.503066 | + | 0.864248i | \(0.332205\pi\) | |||||||
\(104\) | 0.451350 | + | 1.97749i | 0.0442585 | + | 0.193909i | ||||
\(105\) | −0.417997 | + | 11.6055i | −0.0407924 | + | 1.13258i | ||||
\(106\) | −4.62012 | + | 20.2421i | −0.448745 | + | 1.96608i | ||||
\(107\) | 2.05261 | + | 5.86603i | 0.198433 | + | 0.567090i | 0.999504 | − | 0.0314791i | \(-0.0100218\pi\) |
−0.801071 | + | 0.598569i | \(0.795736\pi\) | |||||||
\(108\) | 8.50776 | − | 13.5400i | 0.818660 | − | 1.30289i | ||||
\(109\) | −0.858301 | − | 1.78228i | −0.0822104 | − | 0.170712i | 0.855811 | − | 0.517288i | \(-0.173058\pi\) |
−0.938022 | + | 0.346576i | \(0.887344\pi\) | |||||||
\(110\) | 12.1927 | + | 16.5739i | 1.16253 | + | 1.58026i | ||||
\(111\) | 3.78332 | + | 7.85615i | 0.359097 | + | 0.745672i | ||||
\(112\) | −5.79971 | + | 4.65306i | −0.548022 | + | 0.439673i | ||||
\(113\) | 0.400548 | − | 0.140158i | 0.0376804 | − | 0.0131849i | −0.311373 | − | 0.950288i | \(-0.600789\pi\) |
0.349053 | + | 0.937103i | \(0.386503\pi\) | |||||||
\(114\) | −29.0644 | + | 6.63376i | −2.72213 | + | 0.621308i | ||||
\(115\) | −4.67757 | + | 3.44110i | −0.436186 | + | 0.320884i | ||||
\(116\) | −30.0914 | −2.79392 | ||||||||
\(117\) | −0.283256 | + | 0.283256i | −0.0261871 | + | 0.0261871i | ||||
\(118\) | −0.269658 | + | 2.39328i | −0.0248241 | + | 0.220320i | ||||
\(119\) | −4.40323 | − | 12.4661i | −0.403644 | − | 1.14277i | ||||
\(120\) | −1.38799 | − | 18.9121i | −0.126706 | − | 1.72643i | ||||
\(121\) | 2.25198 | − | 2.82389i | 0.204725 | − | 0.256717i | ||||
\(122\) | −21.0067 | + | 7.35055i | −1.90185 | + | 0.665488i | ||||
\(123\) | 8.42907 | − | 2.94946i | 0.760024 | − | 0.265944i | ||||
\(124\) | 9.87269 | − | 12.3800i | 0.886594 | − | 1.11175i | ||||
\(125\) | 11.1802 | + | 0.0516305i | 0.999989 | + | 0.00461798i | ||||
\(126\) | −5.13439 | − | 1.77969i | −0.457408 | − | 0.158547i | ||||
\(127\) | 0.299315 | − | 2.65649i | 0.0265599 | − | 0.235725i | −0.973418 | − | 0.229037i | \(-0.926442\pi\) |
0.999978 | − | 0.00668855i | \(-0.00212905\pi\) | |||||||
\(128\) | −14.5994 | + | 14.5994i | −1.29041 | + | 1.29041i | ||||
\(129\) | 9.29775 | 0.818621 | ||||||||
\(130\) | 0.380501 | − | 2.49836i | 0.0333721 | − | 0.219121i | ||||
\(131\) | 8.54856 | − | 1.95115i | 0.746891 | − | 0.170473i | 0.167897 | − | 0.985805i | \(-0.446302\pi\) |
0.578995 | + | 0.815331i | \(0.303445\pi\) | |||||||
\(132\) | −26.8758 | + | 9.40425i | −2.33924 | + | 0.818535i | ||||
\(133\) | −7.28656 | − | 15.0177i | −0.631825 | − | 1.30220i | ||||
\(134\) | −0.0727471 | − | 0.151061i | −0.00628439 | − | 0.0130497i | ||||
\(135\) | −7.59024 | + | 5.58383i | −0.653264 | + | 0.480579i | ||||
\(136\) | 9.36688 | + | 19.4505i | 0.803203 | + | 1.66787i | ||||
\(137\) | 7.80468 | − | 12.4211i | 0.666799 | − | 1.06120i | −0.326451 | − | 0.945214i | \(-0.605853\pi\) |
0.993250 | − | 0.115990i | \(-0.0370042\pi\) | |||||||
\(138\) | −4.05296 | − | 11.5827i | −0.345011 | − | 0.985985i | ||||
\(139\) | 1.87863 | − | 8.23084i | 0.159344 | − | 0.698130i | −0.830624 | − | 0.556834i | \(-0.812016\pi\) |
0.989967 | − | 0.141296i | \(-0.0451270\pi\) | |||||||
\(140\) | 21.4431 | − | 6.64718i | 1.81227 | − | 0.561789i | ||||
\(141\) | 1.34054 | + | 5.87330i | 0.112894 | + | 0.494621i | ||||
\(142\) | 33.8625 | − | 21.2772i | 2.84168 | − | 1.78555i | ||||
\(143\) | −1.78339 | + | 0.200940i | −0.149135 | + | 0.0168035i | ||||
\(144\) | 2.33775 | + | 0.533577i | 0.194813 | + | 0.0444648i | ||||
\(145\) | 16.4959 | + | 6.50350i | 1.36991 | + | 0.540086i | ||||
\(146\) | − | 33.0493i | − | 2.73518i | ||||||
\(147\) | 1.45822 | − | 13.6631i | 0.120272 | − | 1.12692i | ||||
\(148\) | 11.9193 | − | 11.9193i | 0.979761 | − | 0.979761i | ||||
\(149\) | 7.13049 | + | 14.8066i | 0.584152 | + | 1.21300i | 0.958334 | + | 0.285649i | \(0.0922092\pi\) |
−0.374182 | + | 0.927355i | \(0.622076\pi\) | |||||||
\(150\) | −7.03348 | + | 22.5552i | −0.574281 | + | 1.84162i | ||||
\(151\) | 5.11568 | − | 6.41486i | 0.416308 | − | 0.522034i | −0.528820 | − | 0.848734i | \(-0.677365\pi\) |
0.945128 | + | 0.326700i | \(0.105937\pi\) | |||||||
\(152\) | 14.5013 | + | 23.0787i | 1.17621 | + | 1.87193i | ||||
\(153\) | −2.26836 | + | 3.61007i | −0.183386 | + | 0.291857i | ||||
\(154\) | −13.0131 | − | 20.5757i | −1.04862 | − | 1.65804i | ||||
\(155\) | −8.08777 | + | 4.65289i | −0.649626 | + | 0.373729i | ||||
\(156\) | 3.15089 | + | 1.51739i | 0.252273 | + | 0.121488i | ||||
\(157\) | 8.53426 | + | 5.36243i | 0.681108 | + | 0.427968i | 0.827656 | − | 0.561235i | \(-0.189674\pi\) |
−0.146549 | + | 0.989203i | \(0.546816\pi\) | |||||||
\(158\) | −6.14240 | + | 17.5540i | −0.488663 | + | 1.39652i | ||||
\(159\) | 10.5562 | + | 13.2371i | 0.837161 | + | 1.04977i | ||||
\(160\) | 3.84600 | − | 1.67095i | 0.304053 | − | 0.132100i | ||||
\(161\) | 5.80699 | − | 3.67261i | 0.457655 | − | 0.289442i | ||||
\(162\) | −8.61177 | − | 24.6110i | −0.676605 | − | 1.93362i | ||||
\(163\) | −0.478039 | − | 0.300372i | −0.0374429 | − | 0.0235269i | 0.513181 | − | 0.858281i | \(-0.328467\pi\) |
−0.550623 | + | 0.834754i | \(0.685610\pi\) | |||||||
\(164\) | −10.7636 | − | 13.4971i | −0.840495 | − | 1.05395i | ||||
\(165\) | 16.7657 | + | 0.653172i | 1.30521 | + | 0.0508494i | ||||
\(166\) | 10.1563i | 0.788281i | ||||||||
\(167\) | −4.53992 | − | 0.511526i | −0.351310 | − | 0.0395831i | −0.0654535 | − | 0.997856i | \(-0.520849\pi\) |
−0.285856 | + | 0.958273i | \(0.592278\pi\) | |||||||
\(168\) | 0.0659134 | + | 22.4372i | 0.00508533 | + | 1.73106i | ||||
\(169\) | −9.99147 | − | 7.96793i | −0.768575 | − | 0.612918i | ||||
\(170\) | −1.96877 | − | 26.8254i | −0.150998 | − | 2.05742i | ||||
\(171\) | −2.33559 | + | 4.84989i | −0.178607 | + | 0.370881i | ||||
\(172\) | −5.93643 | − | 16.9653i | −0.452648 | − | 1.29359i | ||||
\(173\) | −21.1119 | + | 2.37874i | −1.60511 | + | 0.180853i | −0.868579 | − | 0.495550i | \(-0.834966\pi\) |
−0.736532 | + | 0.676403i | \(0.763538\pi\) | |||||||
\(174\) | −23.3626 | + | 29.2958i | −1.77111 | + | 2.22091i | ||||
\(175\) | −13.1916 | − | 0.990446i | −0.997193 | − | 0.0748707i | ||||
\(176\) | 6.69804 | + | 8.39907i | 0.504883 | + | 0.633104i | ||||
\(177\) | 1.38872 | + | 1.38872i | 0.104383 | + | 0.104383i | ||||
\(178\) | 14.2044 | + | 14.2044i | 1.06466 | + | 1.06466i | ||||
\(179\) | 16.9310 | − | 13.5020i | 1.26548 | − | 1.00919i | 0.266514 | − | 0.963831i | \(-0.414128\pi\) |
0.998971 | − | 0.0453590i | \(-0.0144432\pi\) | |||||||
\(180\) | −5.97549 | − | 4.08751i | −0.445387 | − | 0.304665i | ||||
\(181\) | −7.21040 | + | 14.9726i | −0.535945 | + | 1.11290i | 0.440623 | + | 0.897692i | \(0.354758\pi\) |
−0.976568 | + | 0.215209i | \(0.930957\pi\) | |||||||
\(182\) | −0.656812 | + | 2.91716i | −0.0486861 | + | 0.216234i | ||||
\(183\) | −5.99399 | + | 17.1298i | −0.443089 | + | 1.26627i | ||||
\(184\) | −8.77175 | + | 6.99524i | −0.646662 | + | 0.515696i | ||||
\(185\) | −9.11016 | + | 3.95804i | −0.669792 | + | 0.291001i | ||||
\(186\) | −4.38760 | − | 19.2233i | −0.321714 | − | 1.40952i | ||||
\(187\) | −18.0295 | + | 6.30880i | −1.31845 | + | 0.461345i | ||||
\(188\) | 9.86092 | − | 6.19603i | 0.719182 | − | 0.451892i | ||||
\(189\) | 9.42293 | − | 5.95950i | 0.685417 | − | 0.433490i | ||||
\(190\) | −6.26210 | − | 33.3772i | −0.454301 | − | 2.42144i | ||||
\(191\) | −2.14047 | + | 9.37802i | −0.154879 | + | 0.678570i | 0.836546 | + | 0.547896i | \(0.184571\pi\) |
−0.991425 | + | 0.130674i | \(0.958286\pi\) | |||||||
\(192\) | 2.22750 | + | 19.7696i | 0.160756 | + | 1.42675i | ||||
\(193\) | −0.769507 | − | 1.22466i | −0.0553903 | − | 0.0881532i | 0.817881 | − | 0.575387i | \(-0.195149\pi\) |
−0.873271 | + | 0.487234i | \(0.838006\pi\) | |||||||
\(194\) | 27.3263 | − | 13.1596i | 1.96191 | − | 0.944808i | ||||
\(195\) | −1.39935 | − | 1.51281i | −0.100210 | − | 0.108335i | ||||
\(196\) | −25.8618 | + | 6.06286i | −1.84727 | + | 0.433061i | ||||
\(197\) | 11.8828 | + | 11.8828i | 0.846613 | + | 0.846613i | 0.989709 | − | 0.143096i | \(-0.0457058\pi\) |
−0.143096 | + | 0.989709i | \(0.545706\pi\) | |||||||
\(198\) | −2.59305 | + | 7.41052i | −0.184280 | + | 0.526643i | ||||
\(199\) | −2.48128 | + | 10.8712i | −0.175893 | + | 0.770639i | 0.807605 | + | 0.589724i | \(0.200763\pi\) |
−0.983499 | + | 0.180916i | \(0.942094\pi\) | |||||||
\(200\) | 21.5885 | − | 0.741236i | 1.52654 | − | 0.0524133i | ||||
\(201\) | −0.133294 | − | 0.0304235i | −0.00940184 | − | 0.00214591i | ||||
\(202\) | 39.6956 | + | 24.9424i | 2.79297 | + | 1.75494i | ||||
\(203\) | −18.9293 | − | 9.04747i | −1.32858 | − | 0.635008i | ||||
\(204\) | 36.2890 | + | 8.28273i | 2.54074 | + | 0.579907i | ||||
\(205\) | 2.98348 | + | 9.72532i | 0.208375 | + | 0.679246i | ||||
\(206\) | 1.61246 | − | 0.368034i | 0.112346 | − | 0.0256422i | ||||
\(207\) | −2.09143 | − | 0.731824i | −0.145365 | − | 0.0508653i | ||||
\(208\) | 0.147733 | − | 1.31117i | 0.0102435 | − | 0.0909133i | ||||
\(209\) | −21.7282 | + | 10.4638i | −1.50297 | + | 0.723793i | ||||
\(210\) | 10.1768 | − | 26.0370i | 0.702263 | − | 1.79672i | ||||
\(211\) | 14.2658 | + | 6.87004i | 0.982097 | + | 0.472953i | 0.854826 | − | 0.518915i | \(-0.173664\pi\) |
0.127271 | + | 0.991868i | \(0.459378\pi\) | |||||||
\(212\) | 17.4133 | − | 27.7132i | 1.19595 | − | 1.90335i | ||||
\(213\) | 3.65135 | − | 32.4066i | 0.250187 | − | 2.22047i | ||||
\(214\) | − | 14.9603i | − | 1.02267i | ||||||
\(215\) | −0.412315 | + | 10.5833i | −0.0281196 | + | 0.721776i | ||||
\(216\) | −14.2338 | + | 11.3511i | −0.968489 | + | 0.772344i | ||||
\(217\) | 9.93276 | − | 4.81936i | 0.674280 | − | 0.327160i | ||||
\(218\) | 0.533166 | + | 4.73198i | 0.0361106 | + | 0.320490i | ||||
\(219\) | −21.0703 | − | 16.8030i | −1.42380 | − | 1.13544i | ||||
\(220\) | −9.51272 | − | 31.0089i | −0.641347 | − | 2.09062i | ||||
\(221\) | 2.11376 | + | 1.01793i | 0.142187 | + | 0.0684736i | ||||
\(222\) | −2.35015 | − | 20.8582i | −0.157732 | − | 1.39991i | ||||
\(223\) | 8.53128 | − | 0.961244i | 0.571296 | − | 0.0643697i | 0.178409 | − | 0.983956i | \(-0.442905\pi\) |
0.392887 | + | 0.919587i | \(0.371476\pi\) | |||||||
\(224\) | −4.67832 | + | 1.65246i | −0.312583 | + | 0.110409i | ||||
\(225\) | 2.39232 | + | 3.53220i | 0.159488 | + | 0.235480i | ||||
\(226\) | −1.02153 | −0.0679513 | ||||||||
\(227\) | −6.80339 | + | 6.80339i | −0.451557 | + | 0.451557i | −0.895871 | − | 0.444314i | \(-0.853447\pi\) |
0.444314 | + | 0.895871i | \(0.353447\pi\) | |||||||
\(228\) | 46.6994 | + | 5.26176i | 3.09275 | + | 0.348469i | ||||
\(229\) | −1.03738 | − | 4.54508i | −0.0685523 | − | 0.300347i | 0.929016 | − | 0.370039i | \(-0.120656\pi\) |
−0.997569 | + | 0.0696915i | \(0.977799\pi\) | |||||||
\(230\) | 13.3639 | − | 4.09971i | 0.881192 | − | 0.270327i | ||||
\(231\) | −19.7341 | − | 2.16481i | −1.29841 | − | 0.142434i | ||||
\(232\) | 32.3364 | + | 11.3150i | 2.12299 | + | 0.742865i | ||||
\(233\) | 6.80270 | + | 0.766480i | 0.445659 | + | 0.0502138i | 0.331943 | − | 0.943299i | \(-0.392296\pi\) |
0.113717 | + | 0.993513i | \(0.463724\pi\) | |||||||
\(234\) | 0.868801 | − | 0.418392i | 0.0567953 | − | 0.0273512i | ||||
\(235\) | −6.74482 | + | 1.26544i | −0.439983 | + | 0.0825480i | ||||
\(236\) | 1.64729 | − | 3.42063i | 0.107229 | − | 0.222664i | ||||
\(237\) | 8.06846 | + | 12.8409i | 0.524103 | + | 0.834105i | ||||
\(238\) | 0.0934934 | + | 31.8255i | 0.00606027 | + | 2.06294i | ||||
\(239\) | 19.8203 | − | 4.52385i | 1.28207 | − | 0.292624i | 0.473379 | − | 0.880859i | \(-0.343034\pi\) |
0.808690 | + | 0.588235i | \(0.200177\pi\) | |||||||
\(240\) | −3.21104 | + | 11.9104i | −0.207272 | + | 0.768812i | ||||
\(241\) | 2.06232 | + | 1.64464i | 0.132846 | + | 0.105941i | 0.687658 | − | 0.726034i | \(-0.258639\pi\) |
−0.554813 | + | 0.831975i | \(0.687210\pi\) | |||||||
\(242\) | −7.36194 | + | 4.62581i | −0.473243 | + | 0.297358i | ||||
\(243\) | −8.13630 | − | 2.84702i | −0.521944 | − | 0.182636i | ||||
\(244\) | 35.0834 | 2.24598 | ||||||||
\(245\) | 15.4876 | + | 2.26575i | 0.989468 | + | 0.144753i | ||||
\(246\) | −21.4970 | −1.37060 | ||||||||
\(247\) | 2.79584 | + | 0.978308i | 0.177895 | + | 0.0622482i | ||||
\(248\) | −15.2644 | + | 9.59124i | −0.969289 | + | 0.609044i | ||||
\(249\) | 6.47507 | + | 5.16370i | 0.410341 | + | 0.327236i | ||||
\(250\) | −25.3619 | − | 9.00619i | −1.60403 | − | 0.569602i | ||||
\(251\) | 20.5704 | − | 4.69507i | 1.29839 | − | 0.296350i | 0.483186 | − | 0.875518i | \(-0.339480\pi\) |
0.815208 | + | 0.579168i | \(0.196622\pi\) | |||||||
\(252\) | 6.71299 | + | 5.32124i | 0.422879 | + | 0.335207i | ||||
\(253\) | −5.28147 | − | 8.40542i | −0.332043 | − | 0.528444i | ||||
\(254\) | −2.79214 | + | 5.79793i | −0.175194 | + | 0.363795i | ||||
\(255\) | −18.1033 | − | 12.3835i | −1.13367 | − | 0.775485i | ||||
\(256\) | 26.5163 | − | 12.7696i | 1.65727 | − | 0.798099i | ||||
\(257\) | −5.50250 | − | 0.619983i | −0.343237 | − | 0.0386735i | −0.0613362 | − | 0.998117i | \(-0.519536\pi\) |
−0.281900 | + | 0.959444i | \(0.590965\pi\) | |||||||
\(258\) | −21.1257 | − | 7.39222i | −1.31523 | − | 0.460219i | ||||
\(259\) | 11.0817 | − | 3.91423i | 0.688584 | − | 0.243219i | ||||
\(260\) | −1.86692 | + | 3.51926i | −0.115781 | + | 0.218255i | ||||
\(261\) | 1.50555 | + | 6.59626i | 0.0931914 | + | 0.408298i | ||||
\(262\) | −20.9748 | − | 2.36329i | −1.29582 | − | 0.146004i | ||||
\(263\) | −7.51324 | + | 7.51324i | −0.463286 | + | 0.463286i | −0.899731 | − | 0.436445i | \(-0.856237\pi\) |
0.436445 | + | 0.899731i | \(0.356237\pi\) | |||||||
\(264\) | 32.4171 | 1.99513 | ||||||||
\(265\) | −15.5354 | + | 11.4288i | −0.954333 | + | 0.702063i | ||||
\(266\) | 4.61618 | + | 39.9154i | 0.283036 | + | 2.44737i | ||||
\(267\) | 16.2777 | − | 1.83406i | 0.996182 | − | 0.112243i | ||||
\(268\) | 0.0295927 | + | 0.262643i | 0.00180766 | + | 0.0160435i | ||||
\(269\) | 14.2508 | + | 6.86283i | 0.868888 | + | 0.418434i | 0.814553 | − | 0.580089i | \(-0.196982\pi\) |
0.0543342 | + | 0.998523i | \(0.482696\pi\) | |||||||
\(270\) | 21.6855 | − | 6.65255i | 1.31974 | − | 0.404861i | ||||
\(271\) | 7.64533 | + | 6.09694i | 0.464421 | + | 0.370363i | 0.827565 | − | 0.561370i | \(-0.189725\pi\) |
−0.363145 | + | 0.931733i | \(0.618297\pi\) | |||||||
\(272\) | −1.57238 | − | 13.9553i | −0.0953396 | − | 0.846162i | ||||
\(273\) | 1.52587 | + | 1.90190i | 0.0923501 | + | 0.115108i | ||||
\(274\) | −27.6087 | + | 22.0172i | −1.66790 | + | 1.33011i | ||||
\(275\) | −1.48697 | + | 19.0548i | −0.0896675 | + | 1.14905i | ||||
\(276\) | 19.3443i | 1.16439i | ||||||||
\(277\) | 2.19381 | − | 19.4706i | 0.131814 | − | 1.16988i | −0.737405 | − | 0.675450i | \(-0.763949\pi\) |
0.869219 | − | 0.494427i | \(-0.164622\pi\) | |||||||
\(278\) | −10.8125 | + | 17.2079i | −0.648489 | + | 1.03206i | ||||
\(279\) | −3.20774 | − | 1.54477i | −0.192042 | − | 0.0924827i | ||||
\(280\) | −25.5424 | − | 0.919963i | −1.52645 | − | 0.0549783i | ||||
\(281\) | −20.7729 | + | 10.0037i | −1.23921 | + | 0.596772i | −0.934598 | − | 0.355705i | \(-0.884241\pi\) |
−0.304611 | + | 0.952477i | \(0.598526\pi\) | |||||||
\(282\) | 1.62370 | − | 14.4107i | 0.0966898 | − | 0.858146i | ||||
\(283\) | −1.39810 | − | 0.489215i | −0.0831082 | − | 0.0290808i | 0.288405 | − | 0.957509i | \(-0.406875\pi\) |
−0.371513 | + | 0.928428i | \(0.621161\pi\) | |||||||
\(284\) | −61.4628 | + | 14.0285i | −3.64714 | + | 0.832437i | ||||
\(285\) | −24.4632 | − | 12.9774i | −1.44907 | − | 0.768714i | ||||
\(286\) | 4.21187 | + | 0.961331i | 0.249053 | + | 0.0568447i | ||||
\(287\) | −2.71282 | − | 11.7268i | −0.160133 | − | 0.692209i | ||||
\(288\) | 1.35480 | + | 0.851275i | 0.0798322 | + | 0.0501619i | ||||
\(289\) | 7.77053 | + | 1.77357i | 0.457090 | + | 0.104328i | ||||
\(290\) | −32.3103 | − | 27.8920i | −1.89733 | − | 1.63787i | ||||
\(291\) | 5.50349 | − | 24.1124i | 0.322620 | − | 1.41349i | ||||
\(292\) | −17.2070 | + | 49.1748i | −1.00696 | + | 2.87774i | ||||
\(293\) | 17.3309 | + | 17.3309i | 1.01248 | + | 1.01248i | 0.999921 | + | 0.0125597i | \(0.00399799\pi\) |
0.0125597 | + | 0.999921i | \(0.496002\pi\) | |||||||
\(294\) | −14.1762 | + | 29.8851i | −0.826774 | + | 1.74294i | ||||
\(295\) | −1.64232 | + | 1.51915i | −0.0956194 | + | 0.0884483i | ||||
\(296\) | −17.2905 | + | 8.32665i | −1.00499 | + | 0.483976i | ||||
\(297\) | −8.57019 | − | 13.6394i | −0.497293 | − | 0.791437i | ||||
\(298\) | −4.42937 | − | 39.3117i | −0.256586 | − | 2.27727i | ||||
\(299\) | −0.271312 | + | 1.18869i | −0.0156904 | + | 0.0687439i | ||||
\(300\) | 22.2086 | − | 29.8985i | 1.28221 | − | 1.72619i | ||||
\(301\) | 1.36653 | − | 12.4571i | 0.0787656 | − | 0.718016i | ||||
\(302\) | −16.7237 | + | 10.5082i | −0.962339 | + | 0.604678i | ||||
\(303\) | 36.0840 | − | 12.6263i | 2.07297 | − | 0.725364i | ||||
\(304\) | −3.94545 | − | 17.2862i | −0.226287 | − | 0.991429i | ||||
\(305\) | −19.2325 | − | 7.58239i | −1.10125 | − | 0.434166i | ||||
\(306\) | 8.02422 | − | 6.39910i | 0.458714 | − | 0.365812i | ||||
\(307\) | 5.65923 | − | 16.1732i | 0.322989 | − | 0.923051i | −0.661858 | − | 0.749629i | \(-0.730232\pi\) |
0.984848 | − | 0.173422i | \(-0.0554823\pi\) | |||||||
\(308\) | 8.64975 | + | 37.3904i | 0.492865 | + | 2.13051i | ||||
\(309\) | 0.585177 | − | 1.21513i | 0.0332895 | − | 0.0691264i | ||||
\(310\) | 22.0758 | − | 4.14178i | 1.25382 | − | 0.235237i | ||||
\(311\) | 6.03070 | − | 4.80932i | 0.341970 | − | 0.272712i | −0.437412 | − | 0.899261i | \(-0.644105\pi\) |
0.779382 | + | 0.626550i | \(0.215533\pi\) | |||||||
\(312\) | −2.81539 | − | 2.81539i | −0.159390 | − | 0.159390i | ||||
\(313\) | −12.5594 | − | 12.5594i | −0.709900 | − | 0.709900i | 0.256614 | − | 0.966514i | \(-0.417393\pi\) |
−0.966514 | + | 0.256614i | \(0.917393\pi\) | |||||||
\(314\) | −15.1276 | − | 18.9694i | −0.853697 | − | 1.07050i | ||||
\(315\) | −2.52997 | − | 4.36792i | −0.142548 | − | 0.246104i | ||||
\(316\) | 18.2788 | − | 22.9209i | 1.02826 | − | 1.28940i | ||||
\(317\) | −31.8098 | + | 3.58410i | −1.78661 | + | 0.201303i | −0.942351 | − | 0.334626i | \(-0.891390\pi\) |
−0.844263 | + | 0.535929i | \(0.819962\pi\) | |||||||
\(318\) | −13.4609 | − | 38.4691i | −0.754851 | − | 2.15724i | ||||
\(319\) | −13.1520 | + | 27.3103i | −0.736369 | + | 1.52909i | ||||
\(320\) | −22.6018 | + | 1.65879i | −1.26348 | + | 0.0927291i | ||||
\(321\) | −9.53786 | − | 7.60619i | −0.532351 | − | 0.424536i | ||||
\(322\) | −16.1142 | + | 3.72779i | −0.898008 | + | 0.207742i | ||||
\(323\) | 31.3281 | + | 3.52983i | 1.74314 | + | 0.196405i | ||||
\(324\) | 41.1030i | 2.28350i | ||||||||
\(325\) | 1.78404 | − | 1.52575i | 0.0989605 | − | 0.0846335i | ||||
\(326\) | 0.847356 | + | 1.06255i | 0.0469307 | + | 0.0588493i | ||||
\(327\) | 3.28791 | + | 2.06593i | 0.181822 | + | 0.114246i | ||||
\(328\) | 6.49142 | + | 18.5514i | 0.358429 | + | 1.02433i | ||||
\(329\) | 8.06606 | − | 0.932831i | 0.444696 | − | 0.0514286i | ||||
\(330\) | −37.5745 | − | 14.8137i | −2.06841 | − | 0.815468i | ||||
\(331\) | −15.8118 | − | 19.8273i | −0.869094 | − | 1.08981i | −0.995207 | − | 0.0977934i | \(-0.968822\pi\) |
0.126113 | − | 0.992016i | \(-0.459750\pi\) | |||||||
\(332\) | 5.28784 | − | 15.1118i | 0.290208 | − | 0.829367i | ||||
\(333\) | −3.20916 | − | 2.01645i | −0.175861 | − | 0.110501i | ||||
\(334\) | 9.90862 | + | 4.77174i | 0.542176 | + | 0.261098i | ||||
\(335\) | 0.0405411 | − | 0.150375i | 0.00221499 | − | 0.00821586i | ||||
\(336\) | 4.78017 | − | 13.7908i | 0.260780 | − | 0.752348i | ||||
\(337\) | −10.1248 | + | 16.1135i | −0.551531 | + | 0.877757i | −0.999870 | − | 0.0161069i | \(-0.994873\pi\) |
0.448339 | + | 0.893863i | \(0.352016\pi\) | |||||||
\(338\) | 16.3670 | + | 26.0480i | 0.890249 | + | 1.41682i | ||||
\(339\) | −0.519371 | + | 0.651270i | −0.0282083 | + | 0.0353721i | ||||
\(340\) | −11.0372 | + | 40.9392i | −0.598576 | + | 2.22024i | ||||
\(341\) | −6.92077 | − | 14.3711i | −0.374781 | − | 0.778240i | ||||
\(342\) | 9.16269 | − | 9.16269i | 0.495462 | − | 0.495462i | ||||
\(343\) | −18.0915 | − | 3.96186i | −0.976851 | − | 0.213920i | ||||
\(344\) | 20.4633i | 1.10331i | ||||||||
\(345\) | 4.18080 | − | 10.6045i | 0.225087 | − | 0.570925i | ||||
\(346\) | 49.8604 | + | 11.3803i | 2.68051 | + | 0.611809i | ||||
\(347\) | −26.9126 | + | 3.03232i | −1.44474 | + | 0.162783i | −0.799257 | − | 0.600990i | \(-0.794773\pi\) |
−0.645485 | + | 0.763773i | \(0.723345\pi\) | |||||||
\(348\) | 50.0145 | − | 31.4262i | 2.68106 | − | 1.68462i | ||||
\(349\) | 1.95209 | + | 8.55266i | 0.104493 | + | 0.457814i | 0.999921 | + | 0.0126064i | \(0.00401284\pi\) |
−0.895428 | + | 0.445207i | \(0.853130\pi\) | |||||||
\(350\) | 29.1857 | + | 12.7385i | 1.56004 | + | 0.680901i | ||||
\(351\) | −0.440254 | + | 1.92888i | −0.0234990 | + | 0.102956i | ||||
\(352\) | 2.36758 | + | 6.76616i | 0.126193 | + | 0.360638i | ||||
\(353\) | −6.73151 | + | 10.7131i | −0.358282 | + | 0.570203i | −0.976423 | − | 0.215864i | \(-0.930743\pi\) |
0.618141 | + | 0.786067i | \(0.287886\pi\) | |||||||
\(354\) | −2.05125 | − | 4.25947i | −0.109023 | − | 0.226388i | ||||
\(355\) | 36.7255 | + | 5.59330i | 1.94919 | + | 0.296862i | ||||
\(356\) | −13.7396 | − | 28.5305i | −0.728196 | − | 1.51211i | ||||
\(357\) | 20.3377 | + | 16.1212i | 1.07638 | + | 0.853226i | ||||
\(358\) | −49.2044 | + | 17.2174i | −2.60053 | + | 0.909966i | ||||
\(359\) | −27.7278 | + | 6.32868i | −1.46342 | + | 0.334015i | −0.878759 | − | 0.477265i | \(-0.841628\pi\) |
−0.584657 | + | 0.811281i | \(0.698771\pi\) | |||||||
\(360\) | 4.88431 | + | 6.63937i | 0.257426 | + | 0.349925i | ||||
\(361\) | 20.8036 | 1.09493 | ||||||||
\(362\) | 28.2870 | − | 28.2870i | 1.48673 | − | 1.48673i | ||||
\(363\) | −0.793829 | + | 7.04542i | −0.0416652 | + | 0.369789i | ||||
\(364\) | 2.49610 | − | 3.99854i | 0.130831 | − | 0.209580i | ||||
\(365\) | 20.0607 | − | 23.2385i | 1.05002 | − | 1.21636i | ||||
\(366\) | 27.2383 | − | 34.1558i | 1.42377 | − | 1.78535i | ||||
\(367\) | 20.3320 | − | 7.11449i | 1.06132 | − | 0.371373i | 0.257523 | − | 0.966272i | \(-0.417094\pi\) |
0.803801 | + | 0.594899i | \(0.202808\pi\) | |||||||
\(368\) | 6.88886 | − | 2.41052i | 0.359107 | − | 0.125657i | ||||
\(369\) | −2.42014 | + | 3.03476i | −0.125987 | + | 0.157983i | ||||
\(370\) | 23.8464 | − | 1.75013i | 1.23971 | − | 0.0909848i | ||||
\(371\) | 19.2865 | − | 12.1977i | 1.00130 | − | 0.633272i | ||||
\(372\) | −3.48015 | + | 30.8872i | −0.180438 | + | 1.60143i | ||||
\(373\) | 2.04408 | − | 2.04408i | 0.105838 | − | 0.105838i | −0.652205 | − | 0.758043i | \(-0.726156\pi\) |
0.758043 | + | 0.652205i | \(0.226156\pi\) | |||||||
\(374\) | 45.9813 | 2.37764 | ||||||||
\(375\) | −18.6364 | + | 11.5903i | −0.962381 | + | 0.598523i | ||||
\(376\) | −12.9264 | + | 2.95037i | −0.666630 | + | 0.152154i | ||||
\(377\) | 3.51411 | − | 1.22964i | 0.180986 | − | 0.0633298i | ||||
\(378\) | −26.1483 | + | 6.04905i | −1.34492 | + | 0.311130i | ||||
\(379\) | −13.1593 | − | 27.3256i | −0.675948 | − | 1.40362i | −0.902958 | − | 0.429729i | \(-0.858609\pi\) |
0.227010 | − | 0.973893i | \(-0.427105\pi\) | |||||||
\(380\) | −8.06020 | + | 52.9231i | −0.413480 | + | 2.71490i | ||||
\(381\) | 2.27684 | + | 4.72791i | 0.116646 | + | 0.242218i | ||||
\(382\) | 12.3195 | − | 19.6063i | 0.630319 | − | 1.00315i | ||||
\(383\) | 9.95098 | + | 28.4383i | 0.508471 | + | 1.45313i | 0.856748 | + | 0.515736i | \(0.172481\pi\) |
−0.348276 | + | 0.937392i | \(0.613233\pi\) | |||||||
\(384\) | 9.01844 | − | 39.5124i | 0.460221 | − | 2.01636i | ||||
\(385\) | 3.33925 | − | 22.3666i | 0.170184 | − | 1.13991i | ||||
\(386\) | 0.774749 | + | 3.39440i | 0.0394337 | + | 0.172770i | ||||
\(387\) | −3.42192 | + | 2.15013i | −0.173946 | + | 0.109297i | ||||
\(388\) | −47.5110 | + | 5.35320i | −2.41200 | + | 0.271768i | ||||
\(389\) | 17.9212 | + | 4.09039i | 0.908640 | + | 0.207391i | 0.651203 | − | 0.758904i | \(-0.274265\pi\) |
0.257437 | + | 0.966295i | \(0.417122\pi\) | |||||||
\(390\) | 1.97676 | + | 4.54987i | 0.100097 | + | 0.230392i | ||||
\(391\) | 12.9771i | 0.656279i | ||||||||
\(392\) | 30.0710 | + | 3.20938i | 1.51881 | + | 0.162098i | ||||
\(393\) | −12.1708 | + | 12.1708i | −0.613933 | + | 0.613933i | ||||
\(394\) | −17.5518 | − | 36.4467i | −0.884248 | − | 1.83616i | ||||
\(395\) | −14.9741 | + | 8.61462i | −0.753431 | + | 0.433449i | ||||
\(396\) | 7.71653 | − | 9.67622i | 0.387770 | − | 0.486248i | ||||
\(397\) | 0.0263414 | + | 0.0419221i | 0.00132204 | + | 0.00210401i | 0.847385 | − | 0.530980i | \(-0.178176\pi\) |
−0.846063 | + | 0.533084i | \(0.821033\pi\) | |||||||
\(398\) | 14.2810 | − | 22.7281i | 0.715842 | − | 1.13926i | ||||
\(399\) | 27.7948 | + | 17.3509i | 1.39148 | + | 0.868633i | ||||
\(400\) | −13.4148 | − | 4.18319i | −0.670740 | − | 0.209159i | ||||
\(401\) | −17.2884 | − | 8.32566i | −0.863342 | − | 0.415764i | −0.0508294 | − | 0.998707i | \(-0.516186\pi\) |
−0.812512 | + | 0.582944i | \(0.801901\pi\) | |||||||
\(402\) | 0.278674 | + | 0.175102i | 0.0138990 | + | 0.00873331i | ||||
\(403\) | −0.647057 | + | 1.84918i | −0.0322322 | + | 0.0921143i | ||||
\(404\) | −46.0778 | − | 57.7797i | −2.29246 | − | 2.87465i | ||||
\(405\) | 8.88339 | − | 22.5325i | 0.441419 | − | 1.11965i | ||||
\(406\) | 35.8167 | + | 35.6069i | 1.77755 | + | 1.76714i | ||||
\(407\) | −5.60818 | − | 16.0273i | −0.277987 | − | 0.794442i | ||||
\(408\) | −35.8819 | − | 22.5461i | −1.77642 | − | 1.11620i | ||||
\(409\) | −16.8266 | − | 21.0998i | −0.832019 | − | 1.04332i | −0.998360 | − | 0.0572509i | \(-0.981767\pi\) |
0.166340 | − | 0.986068i | \(-0.446805\pi\) | |||||||
\(410\) | 0.953297 | − | 24.4693i | 0.0470800 | − | 1.20845i | ||||
\(411\) | 28.7958i | 1.42039i | ||||||||
\(412\) | −2.59084 | − | 0.291917i | −0.127641 | − | 0.0143817i | ||||
\(413\) | 2.06471 | − | 1.65650i | 0.101598 | − | 0.0815110i | ||||
\(414\) | 4.17017 | + | 3.32560i | 0.204953 | + | 0.163444i | ||||
\(415\) | −6.16480 | + | 7.14136i | −0.302618 | + | 0.350556i | ||||
\(416\) | 0.382012 | − | 0.793257i | 0.0187297 | − | 0.0388926i | ||||
\(417\) | 5.47349 | + | 15.6423i | 0.268038 | + | 0.766009i | ||||
\(418\) | 57.6887 | − | 6.49995i | 2.82165 | − | 0.317923i | ||||
\(419\) | 5.45642 | − | 6.84213i | 0.266564 | − | 0.334260i | −0.630477 | − | 0.776208i | \(-0.717141\pi\) |
0.897041 | + | 0.441948i | \(0.145712\pi\) | |||||||
\(420\) | −28.6983 | + | 33.4425i | −1.40033 | + | 1.63183i | ||||
\(421\) | −19.9868 | − | 25.0627i | −0.974098 | − | 1.22148i | −0.975165 | − | 0.221481i | \(-0.928911\pi\) |
0.00106610 | − | 0.999999i | \(-0.499661\pi\) | |||||||
\(422\) | −26.9517 | − | 26.9517i | −1.31199 | − | 1.31199i | ||||
\(423\) | −1.85159 | − | 1.85159i | −0.0900272 | − | 0.0900272i | ||||
\(424\) | −29.1332 | + | 23.2330i | −1.41483 | + | 1.12829i | ||||
\(425\) | 14.8985 | − | 20.0572i | 0.722685 | − | 0.972919i | ||||
\(426\) | −34.0614 | + | 70.7292i | −1.65028 | + | 3.42684i | ||||
\(427\) | 22.0696 | + | 10.5484i | 1.06802 | + | 0.510472i | ||||
\(428\) | −7.78906 | + | 22.2598i | −0.376498 | + | 1.07597i | ||||
\(429\) | 2.75430 | − | 2.19648i | 0.132979 | − | 0.106047i | ||||
\(430\) | 9.35114 | − | 23.7189i | 0.450952 | − | 1.14383i | ||||
\(431\) | 5.32423 | + | 23.3270i | 0.256459 | + | 1.12362i | 0.925007 | + | 0.379951i | \(0.124059\pi\) |
−0.668548 | + | 0.743669i | \(0.733084\pi\) | |||||||
\(432\) | 11.1785 | − | 3.91152i | 0.537825 | − | 0.188193i | ||||
\(433\) | −14.1772 | + | 8.90809i | −0.681310 | + | 0.428096i | −0.827730 | − | 0.561127i | \(-0.810368\pi\) |
0.146419 | + | 0.989223i | \(0.453225\pi\) | |||||||
\(434\) | −26.4002 | + | 3.05316i | −1.26725 | + | 0.146556i | ||||
\(435\) | −34.2097 | + | 6.41829i | −1.64023 | + | 0.307733i | ||||
\(436\) | 1.67038 | − | 7.31842i | 0.0799967 | − | 0.350489i | ||||
\(437\) | 1.83445 | + | 16.2812i | 0.0877536 | + | 0.778834i | ||||
\(438\) | 34.5153 | + | 54.9308i | 1.64920 | + | 2.62469i | ||||
\(439\) | 14.9487 | − | 7.19890i | 0.713462 | − | 0.343585i | −0.0416942 | − | 0.999130i | \(-0.513276\pi\) |
0.755156 | + | 0.655545i | \(0.227561\pi\) | |||||||
\(440\) | −1.43756 | + | 36.8993i | −0.0685328 | + | 1.75910i | ||||
\(441\) | 2.62296 | + | 5.36576i | 0.124903 | + | 0.255512i | ||||
\(442\) | −3.99343 | − | 3.99343i | −0.189948 | − | 0.189948i | ||||
\(443\) | 4.44463 | − | 12.7020i | 0.211171 | − | 0.603492i | −0.788766 | − | 0.614693i | \(-0.789280\pi\) |
0.999937 | + | 0.0112014i | \(0.00356558\pi\) | |||||||
\(444\) | −7.36290 | + | 32.2590i | −0.349428 | + | 1.53094i | ||||
\(445\) | 1.36580 | + | 18.6097i | 0.0647453 | + | 0.882186i | ||||
\(446\) | −20.1484 | − | 4.59875i | −0.954057 | − | 0.217757i | ||||
\(447\) | −27.3149 | − | 17.1631i | −1.29195 | − | 0.811786i | ||||
\(448\) | 26.8146 | − | 0.0787730i | 1.26687 | − | 0.00372167i | ||||
\(449\) | 3.12926 | + | 0.714232i | 0.147679 | + | 0.0337067i | 0.295721 | − | 0.955274i | \(-0.404440\pi\) |
−0.148042 | + | 0.988981i | \(0.547297\pi\) | |||||||
\(450\) | −2.62738 | − | 9.92766i | −0.123856 | − | 0.467994i | ||||
\(451\) | −16.9541 | + | 3.86967i | −0.798339 | + | 0.182216i | ||||
\(452\) | 1.51996 | + | 0.531857i | 0.0714929 | + | 0.0250165i | ||||
\(453\) | −1.80329 | + | 16.0047i | −0.0847261 | + | 0.751965i | ||||
\(454\) | 20.8673 | − | 10.0492i | 0.979350 | − | 0.471630i | ||||
\(455\) | −2.23253 | + | 1.65251i | −0.104663 | + | 0.0774708i | ||||
\(456\) | −48.2050 | − | 23.2143i | −2.25740 | − | 1.08711i | ||||
\(457\) | −6.89198 | + | 10.9685i | −0.322393 | + | 0.513086i | −0.968121 | − | 0.250482i | \(-0.919411\pi\) |
0.645728 | + | 0.763567i | \(0.276554\pi\) | |||||||
\(458\) | −1.25651 | + | 11.1518i | −0.0587127 | + | 0.521090i | ||||
\(459\) | 21.0577i | 0.982891i | ||||||||
\(460\) | −22.0190 | − | 0.857837i | −1.02664 | − | 0.0399969i | ||||
\(461\) | −11.9902 | + | 9.56187i | −0.558439 | + | 0.445341i | −0.861592 | − | 0.507601i | \(-0.830532\pi\) |
0.303153 | + | 0.952942i | \(0.401961\pi\) | |||||||
\(462\) | 43.1173 | + | 20.6084i | 2.00600 | + | 0.958789i | ||||
\(463\) | 0.253728 | + | 2.25190i | 0.0117917 | + | 0.104655i | 0.998229 | − | 0.0594818i | \(-0.0189448\pi\) |
−0.986438 | + | 0.164136i | \(0.947516\pi\) | |||||||
\(464\) | −17.4238 | − | 13.8950i | −0.808878 | − | 0.645059i | ||||
\(465\) | 8.58330 | − | 16.1801i | 0.398041 | − | 0.750332i | ||||
\(466\) | −14.8472 | − | 7.15006i | −0.687785 | − | 0.331220i | ||||
\(467\) | −0.0125027 | − | 0.110964i | −0.000578554 | − | 0.00513481i | 0.993420 | − | 0.114532i | \(-0.0365367\pi\) |
−0.993998 | + | 0.109397i | \(0.965108\pi\) | |||||||
\(468\) | −1.51054 | + | 0.170197i | −0.0698249 | + | 0.00786738i | ||||
\(469\) | −0.0603522 | + | 0.174116i | −0.00278681 | + | 0.00803992i | ||||
\(470\) | 16.3312 | + | 2.48725i | 0.753303 | + | 0.114728i | ||||
\(471\) | −19.7850 | −0.911644 | ||||||||
\(472\) | −3.05641 | + | 3.05641i | −0.140683 | + | 0.140683i | ||||
\(473\) | −17.9920 | − | 2.02721i | −0.827274 | − | 0.0932114i | ||||
\(474\) | −8.12343 | − | 35.5911i | −0.373122 | − | 1.63475i | ||||
\(475\) | 15.8566 | − | 27.2701i | 0.727548 | − | 1.25124i | ||||
\(476\) | 16.4307 | − | 47.4026i | 0.753102 | − | 2.17269i | ||||
\(477\) | −6.94618 | − | 2.43057i | −0.318044 | − | 0.111288i | ||||
\(478\) | −48.6311 | − | 5.47941i | −2.22433 | − | 0.250622i | ||||
\(479\) | 7.13454 | − | 3.43582i | 0.325986 | − | 0.156986i | −0.263732 | − | 0.964596i | \(-0.584953\pi\) |
0.589717 | + | 0.807610i | \(0.299239\pi\) | |||||||
\(480\) | −4.64731 | + | 6.79386i | −0.212120 | + | 0.310096i | ||||
\(481\) | −0.904887 | + | 1.87902i | −0.0412593 | + | 0.0856758i | ||||
\(482\) | −3.37828 | − | 5.37651i | −0.153877 | − | 0.244893i | ||||
\(483\) | −5.81620 | + | 12.1688i | −0.264646 | + | 0.553699i | ||||
\(484\) | 13.3624 | − | 3.04989i | 0.607383 | − | 0.138631i | ||||
\(485\) | 27.2022 | + | 7.33371i | 1.23519 | + | 0.333007i | ||||
\(486\) | 16.2232 | + | 12.9376i | 0.735901 | + | 0.586862i | ||||
\(487\) | −3.21076 | + | 2.01745i | −0.145493 | + | 0.0914195i | −0.602812 | − | 0.797884i | \(-0.705953\pi\) |
0.457318 | + | 0.889303i | \(0.348810\pi\) | |||||||
\(488\) | −37.7008 | − | 13.1921i | −1.70663 | − | 0.597177i | ||||
\(489\) | 1.10824 | 0.0501162 | ||||||||
\(490\) | −33.3886 | − | 17.4616i | −1.50834 | − | 0.788834i | ||||
\(491\) | 29.2061 | 1.31805 | 0.659027 | − | 0.752120i | \(-0.270968\pi\) | ||||
0.659027 | + | 0.752120i | \(0.270968\pi\) | |||||||
\(492\) | 31.9859 | + | 11.1923i | 1.44203 | + | 0.504589i | ||||
\(493\) | 33.5520 | − | 21.0821i | 1.51111 | − | 0.949491i | ||||
\(494\) | −5.57472 | − | 4.44569i | −0.250819 | − | 0.200021i | ||||
\(495\) | −6.32143 | + | 3.63672i | −0.284127 | + | 0.163458i | ||||
\(496\) | 11.4331 | − | 2.60954i | 0.513363 | − | 0.117172i | ||||
\(497\) | −42.8817 | − | 9.65503i | −1.92351 | − | 0.433087i | ||||
\(498\) | −10.6068 | − | 16.8806i | −0.475302 | − | 0.756440i | ||||
\(499\) | 10.0105 | − | 20.7871i | 0.448132 | − | 0.930556i | −0.547466 | − | 0.836828i | \(-0.684407\pi\) |
0.995598 | − | 0.0937280i | \(-0.0298784\pi\) | |||||||
\(500\) | 33.0475 | + | 26.6051i | 1.47793 | + | 1.18982i | ||||
\(501\) | 8.07997 | − | 3.89111i | 0.360986 | − | 0.173842i | ||||
\(502\) | −50.4716 | − | 5.68678i | −2.25266 | − | 0.253814i | ||||
\(503\) | −0.165090 | − | 0.0577675i | −0.00736100 | − | 0.00257573i | 0.326596 | − | 0.945164i | \(-0.394098\pi\) |
−0.333957 | + | 0.942588i | \(0.608384\pi\) | |||||||
\(504\) | −5.21292 | − | 8.24246i | −0.232202 | − | 0.367148i | ||||
\(505\) | 12.7720 | + | 41.6331i | 0.568345 | + | 1.85265i | ||||
\(506\) | 5.31746 | + | 23.2973i | 0.236390 | + | 1.03569i | ||||
\(507\) | 24.9281 | + | 2.80872i | 1.10710 | + | 0.124740i | ||||
\(508\) | 7.17316 | − | 7.17316i | 0.318258 | − | 0.318258i | ||||
\(509\) | 1.85712 | 0.0823153 | 0.0411576 | − | 0.999153i | \(-0.486895\pi\) | ||||
0.0411576 | + | 0.999153i | \(0.486895\pi\) | |||||||
\(510\) | 31.2876 | + | 42.5301i | 1.38544 | + | 1.88326i | ||||
\(511\) | −25.6095 | + | 25.7604i | −1.13290 | + | 1.13957i | ||||
\(512\) | −29.3676 | + | 3.30893i | −1.29788 | + | 0.146235i | ||||
\(513\) | 2.97674 | + | 26.4193i | 0.131426 | + | 1.16644i | ||||
\(514\) | 12.0095 | + | 5.78347i | 0.529716 | + | 0.255098i | ||||
\(515\) | 1.35719 | + | 0.719972i | 0.0598051 | + | 0.0317258i | ||||
\(516\) | 27.5848 | + | 21.9981i | 1.21435 | + | 0.968413i | ||||
\(517\) | −1.31350 | − | 11.6577i | −0.0577678 | − | 0.512703i | ||||
\(518\) | −28.2912 | + | 0.0831105i | −1.24304 | + | 0.00365167i | ||||
\(519\) | 32.6056 | − | 26.0021i | 1.43123 | − | 1.14137i | ||||
\(520\) | 3.32952 | − | 3.07982i | 0.146009 | − | 0.135059i | ||||
\(521\) | 4.36996i | 0.191451i | 0.995408 | + | 0.0957257i | \(0.0305172\pi\) | ||||
−0.995408 | + | 0.0957257i | \(0.969483\pi\) | |||||||
\(522\) | 1.82357 | − | 16.1846i | 0.0798153 | − | 0.708380i | ||||
\(523\) | −5.72245 | + | 9.10722i | −0.250225 | + | 0.398231i | −0.948092 | − | 0.317997i | \(-0.896990\pi\) |
0.697867 | + | 0.716228i | \(0.254133\pi\) | |||||||
\(524\) | 29.9784 | + | 14.4368i | 1.30961 | + | 0.630676i | ||||
\(525\) | 22.9600 | − | 12.1306i | 1.00206 | − | 0.529422i | ||||
\(526\) | 23.0445 | − | 11.0977i | 1.00479 | − | 0.483881i | ||||
\(527\) | −2.33464 | + | 20.7205i | −0.101699 | + | 0.902601i | ||||
\(528\) | −19.9044 | − | 6.96484i | −0.866226 | − | 0.303106i | ||||
\(529\) | 15.8483 | − | 3.61726i | 0.689055 | − | 0.157272i | ||||
\(530\) | 44.3850 | − | 13.6162i | 1.92796 | − | 0.591449i | ||||
\(531\) | −0.832246 | − | 0.189955i | −0.0361164 | − | 0.00824334i | ||||
\(532\) | 13.9133 | − | 61.7945i | 0.603219 | − | 2.67913i | ||||
\(533\) | 1.80853 | + | 1.13637i | 0.0783360 | + | 0.0492218i | ||||
\(534\) | −38.4434 | − | 8.77446i | −1.66361 | − | 0.379708i | ||||
\(535\) | 9.08083 | − | 10.5193i | 0.392598 | − | 0.454790i | ||||
\(536\) | 0.0669586 | − | 0.293365i | 0.00289217 | − | 0.0126714i | ||||
\(537\) | −14.0399 | + | 40.1236i | −0.605865 | + | 1.73146i | ||||
\(538\) | −26.9234 | − | 26.9234i | −1.16075 | − | 1.16075i | ||||
\(539\) | −5.80081 | + | 26.1215i | −0.249859 | + | 1.12513i | ||||
\(540\) | −35.7300 | − | 1.39200i | −1.53757 | − | 0.0599023i | ||||
\(541\) | −28.8773 | + | 13.9066i | −1.24153 | + | 0.597891i | −0.935229 | − | 0.354043i | \(-0.884807\pi\) |
−0.306304 | + | 0.951934i | \(0.599092\pi\) | |||||||
\(542\) | −12.5238 | − | 19.9315i | −0.537944 | − | 0.856132i | ||||
\(543\) | −3.65240 | − | 32.4159i | −0.156739 | − | 1.39110i | ||||
\(544\) | 2.08523 | − | 9.13599i | 0.0894035 | − | 0.391703i | ||||
\(545\) | −2.49739 | + | 3.65090i | −0.106976 | + | 0.156388i | ||||
\(546\) | −1.95488 | − | 5.53452i | −0.0836611 | − | 0.236855i | ||||
\(547\) | −17.6460 | + | 11.0877i | −0.754487 | + | 0.474075i | −0.853553 | − | 0.521005i | \(-0.825557\pi\) |
0.0990667 | + | 0.995081i | \(0.468414\pi\) | |||||||
\(548\) | 52.5429 | − | 18.3855i | 2.24452 | − | 0.785391i | ||||
\(549\) | −1.75532 | − | 7.69054i | −0.0749151 | − | 0.328224i | ||||
\(550\) | 18.5282 | − | 42.1129i | 0.790045 | − | 1.79570i | ||||
\(551\) | 39.1145 | − | 31.1928i | 1.66634 | − | 1.32886i | ||||
\(552\) | 7.27388 | − | 20.7875i | 0.309597 | − | 0.884777i | ||||
\(553\) | 18.3901 | − | 8.92284i | 0.782025 | − | 0.379438i | ||||
\(554\) | −20.4649 | + | 42.4957i | −0.869468 | + | 1.80547i | ||||
\(555\) | 11.0083 | − | 16.0929i | 0.467275 | − | 0.683105i | ||||
\(556\) | 25.0474 | − | 19.9746i | 1.06225 | − | 0.847113i | ||||
\(557\) | 4.80112 | + | 4.80112i | 0.203430 | + | 0.203430i | 0.801468 | − | 0.598038i | \(-0.204053\pi\) |
−0.598038 | + | 0.801468i | \(0.704053\pi\) | |||||||
\(558\) | 6.06024 | + | 6.06024i | 0.256551 | + | 0.256551i | ||||
\(559\) | 1.38653 | + | 1.73865i | 0.0586439 | + | 0.0735371i | ||||
\(560\) | 15.4856 | + | 6.05267i | 0.654385 | + | 0.255772i | ||||
\(561\) | 23.3780 | − | 29.3151i | 0.987019 | − | 1.23768i | ||||
\(562\) | 55.1524 | − | 6.21418i | 2.32646 | − | 0.262129i | ||||
\(563\) | −1.69522 | − | 4.84466i | −0.0714449 | − | 0.204178i | 0.902624 | − | 0.430430i | \(-0.141638\pi\) |
−0.974069 | + | 0.226253i | \(0.927353\pi\) | |||||||
\(564\) | −9.91884 | + | 20.5967i | −0.417658 | + | 0.867277i | ||||
\(565\) | −0.718287 | − | 0.620063i | −0.0302185 | − | 0.0260862i | ||||
\(566\) | 2.78771 | + | 2.22313i | 0.117176 | + | 0.0934449i | ||||
\(567\) | −12.3583 | + | 25.8563i | −0.519000 | + | 1.08586i | ||||
\(568\) | 71.3232 | + | 8.03620i | 2.99266 | + | 0.337191i | ||||
\(569\) | − | 4.15026i | − | 0.173988i | −0.996209 | − | 0.0869940i | \(-0.972274\pi\) | ||
0.996209 | − | 0.0869940i | \(-0.0277261\pi\) | |||||||
\(570\) | 45.2659 | + | 48.9359i | 1.89598 | + | 2.04970i | ||||
\(571\) | 10.4305 | + | 13.0795i | 0.436505 | + | 0.547360i | 0.950618 | − | 0.310362i | \(-0.100450\pi\) |
−0.514113 | + | 0.857722i | \(0.671879\pi\) | |||||||
\(572\) | −5.76642 | − | 3.62328i | −0.241106 | − | 0.151497i | ||||
\(573\) | −6.23637 | − | 17.8225i | −0.260528 | − | 0.744546i | ||||
\(574\) | −3.15951 | + | 28.8016i | −0.131875 | + | 1.20216i | ||||
\(575\) | 11.8853 | + | 5.22912i | 0.495651 | + | 0.218069i | ||||
\(576\) | −5.39157 | − | 6.76081i | −0.224649 | − | 0.281701i | ||||
\(577\) | 0.00699793 | − | 0.0199989i | 0.000291328 | − | 0.000832566i | −0.943738 | − | 0.330695i | \(-0.892717\pi\) |
0.944029 | + | 0.329863i | \(0.107002\pi\) | |||||||
\(578\) | −16.2456 | − | 10.2078i | −0.675728 | − | 0.424588i | ||||
\(579\) | 2.55798 | + | 1.23186i | 0.106306 | + | 0.0511942i | ||||
\(580\) | 33.5535 | + | 58.3234i | 1.39323 | + | 2.42175i | ||||
\(581\) | 7.86998 | − | 7.91636i | 0.326502 | − | 0.328426i | ||||
\(582\) | −31.6753 | + | 50.4109i | −1.31298 | + | 2.08960i | ||||
\(583\) | −17.5411 | − | 27.9165i | −0.726479 | − | 1.15618i | ||||
\(584\) | 36.9815 | − | 46.3733i | 1.53030 | − | 1.91894i | ||||
\(585\) | 0.864856 | + | 0.233165i | 0.0357574 | + | 0.00964018i | ||||
\(586\) | −25.5991 | − | 53.1571i | −1.05749 | − | 2.19590i | ||||
\(587\) | 10.9642 | − | 10.9642i | 0.452540 | − | 0.452540i | −0.443657 | − | 0.896197i | \(-0.646319\pi\) |
0.896197 | + | 0.443657i | \(0.146319\pi\) | |||||||
\(588\) | 36.6527 | − | 37.0860i | 1.51153 | − | 1.52940i | ||||
\(589\) | 26.3263i | 1.08475i | ||||||||
\(590\) | 4.93937 | − | 2.14598i | 0.203351 | − | 0.0883487i | ||||
\(591\) | −32.1601 | − | 7.34033i | −1.32289 | − | 0.301941i | ||||
\(592\) | 12.4055 | − | 1.39776i | 0.509862 | − | 0.0574476i | ||||
\(593\) | 14.5546 | − | 9.14524i | 0.597684 | − | 0.375550i | −0.198952 | − | 0.980009i | \(-0.563754\pi\) |
0.796636 | + | 0.604459i | \(0.206611\pi\) | |||||||
\(594\) | 8.62858 | + | 37.8043i | 0.354035 | + | 1.55113i | ||||
\(595\) | −19.2521 | + | 22.4348i | −0.789260 | + | 0.919735i | ||||
\(596\) | −13.8770 | + | 60.7990i | −0.568423 | + | 2.49042i | ||||
\(597\) | −7.22933 | − | 20.6602i | −0.295877 | − | 0.845567i | ||||
\(598\) | 1.56153 | − | 2.48516i | 0.0638558 | − | 0.101626i | ||||
\(599\) | −2.24680 | − | 4.66552i | −0.0918016 | − | 0.190628i | 0.850012 | − | 0.526763i | \(-0.176594\pi\) |
−0.941814 | + | 0.336135i | \(0.890880\pi\) | |||||||
\(600\) | −35.1079 | + | 23.7782i | −1.43327 | + | 0.970740i | ||||
\(601\) | −2.75731 | − | 5.72562i | −0.112473 | − | 0.233553i | 0.837132 | − | 0.547000i | \(-0.184230\pi\) |
−0.949606 | + | 0.313447i | \(0.898516\pi\) | |||||||
\(602\) | −13.0090 | + | 27.2178i | −0.530208 | + | 1.10931i | ||||
\(603\) | 0.0560927 | − | 0.0196277i | 0.00228427 | − | 0.000799301i | ||||
\(604\) | 30.3546 | − | 6.92824i | 1.23511 | − | 0.281906i | ||||
\(605\) | −7.98436 | − | 1.21602i | −0.324610 | − | 0.0494383i | ||||
\(606\) | −92.0263 | −3.73831 | ||||||||
\(607\) | −16.8370 | + | 16.8370i | −0.683392 | + | 0.683392i | −0.960763 | − | 0.277371i | \(-0.910537\pi\) |
0.277371 | + | 0.960763i | \(0.410537\pi\) | |||||||
\(608\) | 1.32468 | − | 11.7569i | 0.0537230 | − | 0.476805i | ||||
\(609\) | 40.9110 | − | 4.73131i | 1.65780 | − | 0.191722i | ||||
\(610\) | 37.6704 | + | 32.5191i | 1.52523 | + | 1.31666i | ||||
\(611\) | −0.898380 | + | 1.12653i | −0.0363446 | + | 0.0455746i | ||||
\(612\) | −15.2711 | + | 5.34359i | −0.617297 | + | 0.216002i | ||||
\(613\) | −28.8993 | + | 10.1123i | −1.16723 | + | 0.408432i | −0.843193 | − | 0.537611i | \(-0.819327\pi\) |
−0.324039 | + | 0.946044i | \(0.605041\pi\) | |||||||
\(614\) | −25.7171 | + | 32.2482i | −1.03786 | + | 1.30143i | ||||
\(615\) | −15.1155 | − | 13.0485i | −0.609517 | − | 0.526167i | ||||
\(616\) | 4.76449 | − | 43.4324i | 0.191967 | − | 1.74994i | ||||
\(617\) | 4.33054 | − | 38.4346i | 0.174341 | − | 1.54732i | −0.536460 | − | 0.843925i | \(-0.680239\pi\) |
0.710801 | − | 0.703393i | \(-0.248332\pi\) | |||||||
\(618\) | −2.29570 | + | 2.29570i | −0.0923464 | + | 0.0923464i | ||||
\(619\) | −36.6943 | −1.47487 | −0.737433 | − | 0.675420i | \(-0.763962\pi\) | ||||
−0.737433 | + | 0.675420i | \(0.763962\pi\) | |||||||
\(620\) | −35.0035 | − | 5.33105i | −1.40578 | − | 0.214100i | ||||
\(621\) | −10.6693 | + | 2.43520i | −0.428144 | + | 0.0977211i | ||||
\(622\) | −17.5262 | + | 6.13269i | −0.702738 | + | 0.245899i | ||||
\(623\) | −0.0648596 | − | 22.0785i | −0.00259855 | − | 0.884555i | ||||
\(624\) | 1.12379 | + | 2.33357i | 0.0449874 | + | 0.0934174i | ||||
\(625\) | −12.3665 | − | 21.7272i | −0.494658 | − | 0.869088i | ||||
\(626\) | 18.5513 | + | 38.5221i | 0.741458 | + | 1.53965i | ||||
\(627\) | 25.1863 | − | 40.0837i | 1.00584 | − | 1.60079i | ||||
\(628\) | 12.6323 | + | 36.1011i | 0.504084 | + | 1.44059i | ||||
\(629\) | −4.93936 | + | 21.6408i | −0.196945 | + | 0.862874i | ||||
\(630\) | 2.27570 | + | 11.9360i | 0.0906660 | + | 0.475540i | ||||
\(631\) | 6.83112 | + | 29.9291i | 0.271943 | + | 1.19146i | 0.907717 | + | 0.419584i | \(0.137824\pi\) |
−0.635774 | + | 0.771875i | \(0.719319\pi\) | |||||||
\(632\) | −28.2613 | + | 17.7577i | −1.12417 | + | 0.706365i | ||||
\(633\) | −30.8858 | + | 3.47999i | −1.22760 | + | 0.138317i | ||||
\(634\) | 75.1256 | + | 17.1469i | 2.98362 | + | 0.680992i | ||||
\(635\) | −5.48259 | + | 2.38199i | −0.217570 | + | 0.0945264i | ||||
\(636\) | 64.2475i | 2.54758i | ||||||||
\(637\) | 2.77242 | − | 1.76483i | 0.109847 | − | 0.0699253i | ||||
\(638\) | 51.5962 | − | 51.5962i | 2.04271 | − | 2.04271i | ||||
\(639\) | 6.15030 | + | 12.7712i | 0.243302 | + | 0.505222i | ||||
\(640\) | 44.5757 | + | 12.0176i | 1.76201 | + | 0.475037i | ||||
\(641\) | 11.8468 | − | 14.8554i | 0.467919 | − | 0.586752i | −0.490741 | − | 0.871306i | \(-0.663274\pi\) |
0.958660 | + | 0.284553i | \(0.0918453\pi\) | |||||||
\(642\) | 15.6240 | + | 24.8654i | 0.616629 | + | 0.981359i | ||||
\(643\) | 22.1659 | − | 35.2769i | 0.874139 | − | 1.39118i | −0.0457283 | − | 0.998954i | \(-0.514561\pi\) |
0.919867 | − | 0.392230i | \(-0.128296\pi\) | |||||||
\(644\) | 25.9175 | + | 2.84313i | 1.02129 | + | 0.112035i | ||||
\(645\) | −10.3675 | − | 18.0210i | −0.408219 | − | 0.709576i | ||||
\(646\) | −68.3753 | − | 32.9278i | −2.69019 | − | 1.29553i | ||||
\(647\) | 0.974289 | + | 0.612187i | 0.0383033 | + | 0.0240675i | 0.551048 | − | 0.834474i | \(-0.314228\pi\) |
−0.512744 | + | 0.858541i | \(0.671371\pi\) | |||||||
\(648\) | 15.4556 | − | 44.1695i | 0.607153 | − | 1.73514i | ||||
\(649\) | −2.38452 | − | 2.99009i | −0.0936005 | − | 0.117371i | ||||
\(650\) | −5.26662 | + | 2.04831i | −0.206574 | + | 0.0803412i | ||||
\(651\) | −11.4760 | + | 18.3836i | −0.449779 | + | 0.720509i | ||||
\(652\) | −0.707587 | − | 2.02217i | −0.0277113 | − | 0.0791942i | ||||
\(653\) | 9.25544 | + | 5.81558i | 0.362193 | + | 0.227581i | 0.700818 | − | 0.713341i | \(-0.252819\pi\) |
−0.338624 | + | 0.940922i | \(0.609962\pi\) | |||||||
\(654\) | −5.82805 | − | 7.30815i | −0.227895 | − | 0.285771i | ||||
\(655\) | −13.3138 | − | 14.3933i | −0.520215 | − | 0.562392i | ||||
\(656\) | − | 12.7854i | − | 0.499186i | ||||||
\(657\) | 11.6404 | + | 1.31156i | 0.454135 | + | 0.0511688i | ||||
\(658\) | −19.0688 | − | 4.29344i | −0.743380 | − | 0.167376i | ||||
\(659\) | 10.5907 | + | 8.44580i | 0.412555 | + | 0.329001i | 0.807675 | − | 0.589628i | \(-0.200726\pi\) |
−0.395120 | + | 0.918629i | \(0.629297\pi\) | |||||||
\(660\) | 48.1953 | + | 41.6047i | 1.87600 | + | 1.61946i | ||||
\(661\) | −16.9130 | + | 35.1202i | −0.657839 | + | 1.36602i | 0.258655 | + | 0.965970i | \(0.416721\pi\) |
−0.916494 | + | 0.400048i | \(0.868994\pi\) | |||||||
\(662\) | 20.1627 | + | 57.6216i | 0.783644 | + | 2.23953i | ||||
\(663\) | −4.57634 | + | 0.515630i | −0.177730 | + | 0.0200254i | ||||
\(664\) | −11.3647 | + | 14.2509i | −0.441035 | + | 0.553041i | ||||
\(665\) | −20.9825 | + | 30.8684i | −0.813668 | + | 1.19703i | ||||
\(666\) | 5.68845 | + | 7.13309i | 0.220423 | + | 0.276402i | ||||
\(667\) | 14.5617 | + | 14.5617i | 0.563833 | + | 0.563833i | ||||
\(668\) | −12.2589 | − | 12.2589i | −0.474310 | − | 0.474310i | ||||
\(669\) | −13.1758 | + | 10.5074i | −0.509408 | + | 0.406239i | ||||
\(670\) | −0.211671 | + | 0.309440i | −0.00817756 | + | 0.0119547i | ||||
\(671\) | 15.3338 | − | 31.8410i | 0.591955 | − | 1.22921i | ||||
\(672\) | 6.05002 | − | 7.63237i | 0.233384 | − | 0.294425i | ||||
\(673\) | 2.59583 | − | 7.41845i | 0.100062 | − | 0.285960i | −0.882960 | − | 0.469448i | \(-0.844453\pi\) |
0.983022 | + | 0.183488i | \(0.0587387\pi\) | |||||||
\(674\) | 35.8159 | − | 28.5622i | 1.37958 | − | 1.10018i | ||||
\(675\) | 19.2861 | + | 8.48523i | 0.742324 | + | 0.326597i | ||||
\(676\) | −10.7911 | − | 47.2789i | −0.415042 | − | 1.81842i | ||||
\(677\) | 33.2751 | − | 11.6435i | 1.27887 | − | 0.447495i | 0.396490 | − | 0.918039i | \(-0.370228\pi\) |
0.882376 | + | 0.470544i | \(0.155942\pi\) | |||||||
\(678\) | 1.69787 | − | 1.06685i | 0.0652065 | − | 0.0409719i | ||||
\(679\) | −31.4968 | − | 10.9175i | −1.20874 | − | 0.418974i | ||||
\(680\) | 27.2546 | − | 39.8433i | 1.04517 | − | 1.52792i | ||||
\(681\) | 4.20265 | − | 18.4130i | 0.161046 | − | 0.705588i | ||||
\(682\) | 4.29910 | + | 38.1555i | 0.164621 | + | 1.46105i | ||||
\(683\) | −19.7689 | − | 31.4621i | −0.756438 | − | 1.20386i | −0.973719 | − | 0.227755i | \(-0.926862\pi\) |
0.217281 | − | 0.976109i | \(-0.430281\pi\) | |||||||
\(684\) | −18.4039 | + | 8.86286i | −0.703691 | + | 0.338880i | ||||
\(685\) | −32.7773 | − | 1.27697i | −1.25236 | − | 0.0487904i | ||||
\(686\) | 37.9565 | + | 23.3856i | 1.44919 | + | 0.892867i | ||||
\(687\) | 6.47092 | + | 6.47092i | 0.246881 | + | 0.246881i | ||||
\(688\) | 4.39655 | − | 12.5646i | 0.167617 | − | 0.479021i | ||||
\(689\) | −0.901095 | + | 3.94796i | −0.0343290 | + | 0.150405i | ||||
\(690\) | −17.9305 | + | 20.7708i | −0.682601 | + | 0.790731i | ||||
\(691\) | −10.5237 | − | 2.40196i | −0.400339 | − | 0.0913748i | 0.0176106 | − | 0.999845i | \(-0.494394\pi\) |
−0.417950 | + | 0.908470i | \(0.637251\pi\) | |||||||
\(692\) | −68.2633 | − | 42.8927i | −2.59498 | − | 1.63054i | ||||
\(693\) | 7.76348 | − | 3.76683i | 0.294910 | − | 0.143090i | ||||
\(694\) | 63.5598 | + | 14.5071i | 2.41270 | + | 0.550682i | ||||
\(695\) | −18.0479 | + | 5.53662i | −0.684595 | + | 0.210016i | ||||
\(696\) | −65.5628 | + | 14.9643i | −2.48515 | + | 0.567220i | ||||
\(697\) | 21.4576 | + | 7.50833i | 0.812763 | + | 0.284398i | ||||
\(698\) | 2.36442 | − | 20.9848i | 0.0894947 | − | 0.794287i | ||||
\(699\) | −12.1072 | + | 5.83050i | −0.457935 | + | 0.220530i | ||||
\(700\) | −36.7938 | − | 34.1493i | −1.39068 | − | 1.29072i | ||||
\(701\) | −23.1242 | − | 11.1360i | −0.873387 | − | 0.420601i | −0.0571825 | − | 0.998364i | \(-0.518212\pi\) |
−0.816205 | + | 0.577763i | \(0.803926\pi\) | |||||||
\(702\) | 2.53388 | − | 4.03265i | 0.0956352 | − | 0.152203i | ||||
\(703\) | −3.13783 | + | 27.8490i | −0.118345 | + | 1.05034i | ||||
\(704\) | − | 38.7416i | − | 1.46013i | ||||||
\(705\) | 9.88891 | − | 9.14728i | 0.372438 | − | 0.344506i | ||||
\(706\) | 23.8124 | − | 18.9898i | 0.896192 | − | 0.714690i | ||||
\(707\) | −11.6133 | − | 50.2010i | −0.436764 | − | 1.88800i | ||||
\(708\) | 0.834427 | + | 7.40574i | 0.0313597 | + | 0.278325i | ||||
\(709\) | −24.0135 | − | 19.1502i | −0.901848 | − | 0.719200i | 0.0584164 | − | 0.998292i | \(-0.481395\pi\) |
−0.960264 | + | 0.279093i | \(0.909966\pi\) | |||||||
\(710\) | −78.9982 | − | 41.9075i | −2.96475 | − | 1.57276i | ||||
\(711\) | −5.93899 | − | 2.86006i | −0.222729 | − | 0.107261i | ||||
\(712\) | 4.03656 | + | 35.8254i | 0.151276 | + | 1.34261i | ||||
\(713\) | −10.7684 | + | 1.21331i | −0.403281 | + | 0.0454389i | ||||
\(714\) | −33.3926 | − | 52.7991i | −1.24969 | − | 1.97596i | ||||
\(715\) | 2.37804 | + | 3.23253i | 0.0889337 | + | 0.120890i | ||||
\(716\) | 82.1766 | 3.07108 | ||||||||
\(717\) | −28.2185 | + | 28.2185i | −1.05384 | + | 1.05384i | ||||
\(718\) | 68.0329 | + | 7.66547i | 2.53896 | + | 0.286073i | ||||
\(719\) | −6.59965 | − | 28.9149i | −0.246125 | − | 1.07835i | −0.935329 | − | 0.353778i | \(-0.884897\pi\) |
0.689204 | − | 0.724567i | \(-0.257960\pi\) | |||||||
\(720\) | −1.57253 | − | 5.12602i | −0.0586048 | − | 0.191036i | ||||
\(721\) | −1.54203 | − | 0.962612i | −0.0574280 | − | 0.0358496i | ||||
\(722\) | −47.2685 | − | 16.5400i | −1.75915 | − | 0.615554i | ||||
\(723\) | −5.14535 | − | 0.579742i | −0.191358 | − | 0.0215608i | ||||
\(724\) | −56.8164 | + | 27.3613i | −2.11157 | + | 1.01688i | ||||
\(725\) | −5.78867 | − | 39.2243i | −0.214986 | − | 1.45676i | ||||
\(726\) | 7.40518 | − | 15.3770i | 0.274832 | − | 0.570694i | ||||
\(727\) | 3.77066 | + | 6.00096i | 0.139846 | + | 0.222563i | 0.909303 | − | 0.416135i | \(-0.136616\pi\) |
−0.769457 | + | 0.638699i | \(0.779473\pi\) | |||||||
\(728\) | −4.18585 | + | 3.35827i | −0.155138 | + | 0.124466i | ||||
\(729\) | −15.1838 | + | 3.46559i | −0.562361 | + | 0.128355i | ||||
\(730\) | −64.0564 | + | 36.8516i | −2.37083 | + | 1.36394i | ||||
\(731\) | 18.5051 | + | 14.7573i | 0.684436 | + | 0.545820i | ||||
\(732\) | −58.3116 | + | 36.6396i | −2.15526 | + | 1.35424i | ||||
\(733\) | 4.68195 | + | 1.63829i | 0.172932 | + | 0.0605115i | 0.415356 | − | 0.909659i | \(-0.363657\pi\) |
−0.242424 | + | 0.970170i | \(0.577943\pi\) | |||||||
\(734\) | −51.8535 | −1.91395 | ||||||||
\(735\) | −28.1080 | + | 12.4088i | −1.03678 | + | 0.457704i | ||||
\(736\) | 4.87007 | 0.179513 | ||||||||
\(737\) | 0.251303 | + | 0.0879348i | 0.00925687 | + | 0.00323912i | ||||
\(738\) | 7.91168 | − | 4.97124i | 0.291233 | − | 0.182994i | ||||
\(739\) | 10.4323 | + | 8.31945i | 0.383757 | + | 0.306036i | 0.796300 | − | 0.604902i | \(-0.206788\pi\) |
−0.412543 | + | 0.910938i | \(0.635359\pi\) | |||||||
\(740\) | −36.3928 | − | 9.81148i | −1.33782 | − | 0.360677i | ||||
\(741\) | −5.66864 | + | 1.29383i | −0.208243 | + | 0.0475300i | ||||
\(742\) | −53.5193 | + | 12.3810i | −1.96476 | + | 0.454519i | ||||
\(743\) | −14.8665 | − | 23.6600i | −0.545400 | − | 0.868000i | 0.454339 | − | 0.890829i | \(-0.349875\pi\) |
−0.999739 | + | 0.0228291i | \(0.992733\pi\) | |||||||
\(744\) | 15.3540 | − | 31.8830i | 0.562906 | − | 1.16889i | ||||
\(745\) | 20.7475 | − | 30.3305i | 0.760128 | − | 1.11122i | ||||
\(746\) | −6.26958 | + | 3.01927i | −0.229545 | + | 0.110543i | ||||
\(747\) | −3.57718 | − | 0.403052i | −0.130882 | − | 0.0147469i | ||||
\(748\) | −68.4167 | − | 23.9400i | −2.50156 | − | 0.875334i | ||||
\(749\) | −11.5926 | + | 11.6609i | −0.423584 | + | 0.426080i | ||||
\(750\) | 51.5594 | − | 11.5179i | 1.88268 | − | 0.420573i | ||||
\(751\) | 5.41756 | + | 23.7359i | 0.197690 | + | 0.866135i | 0.972307 | + | 0.233705i | \(0.0750851\pi\) |
−0.774618 | + | 0.632430i | \(0.782058\pi\) | |||||||
\(752\) | 8.57083 | + | 0.965701i | 0.312546 | + | 0.0352155i | ||||
\(753\) | −29.2865 | + | 29.2865i | −1.06726 | + | 1.06726i | ||||
\(754\) | −8.96217 | −0.326383 | ||||||||
\(755\) | −18.1376 | − | 2.76236i | −0.660095 | − | 0.100533i | ||||
\(756\) | 42.0561 | + | 4.61351i | 1.52957 | + | 0.167792i | ||||
\(757\) | 11.4745 | − | 1.29286i | 0.417046 | − | 0.0469898i | 0.0990514 | − | 0.995082i | \(-0.468419\pi\) |
0.317995 | + | 0.948093i | \(0.396991\pi\) | |||||||
\(758\) | 8.17440 | + | 72.5498i | 0.296907 | + | 2.63513i | ||||
\(759\) | 17.5565 | + | 8.45479i | 0.637262 | + | 0.306889i | ||||
\(760\) | 28.5617 | − | 53.8406i | 1.03604 | − | 1.95300i | ||||
\(761\) | 3.94851 | + | 3.14883i | 0.143133 | + | 0.114145i | 0.692439 | − | 0.721477i | \(-0.256536\pi\) |
−0.549305 | + | 0.835622i | \(0.685108\pi\) | |||||||
\(762\) | −1.41435 | − | 12.5527i | −0.0512363 | − | 0.454735i | ||||
\(763\) | 3.25117 | − | 4.10150i | 0.117700 | − | 0.148484i | ||||
\(764\) | −28.5384 | + | 22.7586i | −1.03248 | + | 0.823379i | ||||
\(765\) | 9.52641 | + | 0.371139i | 0.344428 | + | 0.0134186i | ||||
\(766\) | − | 72.5271i | − | 2.62051i | ||||||
\(767\) | −0.0525934 | + | 0.466780i | −0.00189904 | + | 0.0168544i | ||||
\(768\) | −30.7364 | + | 48.9167i | −1.10910 | + | 1.76513i | ||||
\(769\) | 9.60663 | + | 4.62631i | 0.346424 | + | 0.166829i | 0.599002 | − | 0.800748i | \(-0.295564\pi\) |
−0.252578 | + | 0.967577i | \(0.581278\pi\) | |||||||
\(770\) | −25.3699 | + | 48.1651i | −0.914267 | + | 1.73575i | ||||
\(771\) | 9.79312 | − | 4.71612i | 0.352691 | − | 0.169847i | ||||
\(772\) | 0.614516 | − | 5.45398i | 0.0221169 | − | 0.196293i | ||||
\(773\) | −18.2181 | − | 6.37480i | −0.655261 | − | 0.229286i | −0.0178866 | − | 0.999840i | \(-0.505694\pi\) |
−0.637374 | + | 0.770554i | \(0.719980\pi\) | |||||||
\(774\) | 9.48452 | − | 2.16478i | 0.340914 | − | 0.0778114i | ||||
\(775\) | 18.0366 | + | 10.4876i | 0.647893 | + | 0.376725i | ||||
\(776\) | 53.0685 | + | 12.1125i | 1.90505 | + | 0.434815i | ||||
\(777\) | −14.3309 | + | 18.0791i | −0.514118 | + | 0.648583i | ||||
\(778\) | −37.4672 | − | 23.5422i | −1.34327 | − | 0.844030i | ||||
\(779\) | 27.9823 | + | 6.38678i | 1.00257 | + | 0.228830i | ||||
\(780\) | −0.572387 | − | 7.79905i | −0.0204947 | − | 0.279251i | ||||
\(781\) | −14.1314 | + | 61.9138i | −0.505662 | + | 2.21545i | ||||
\(782\) | 10.3175 | − | 29.4856i | 0.368952 | − | 1.05440i | ||||
\(783\) | 23.6292 | + | 23.6292i | 0.844438 | + | 0.844438i | ||||
\(784\) | −17.7743 | − | 8.43136i | −0.634796 | − | 0.301120i | ||||
\(785\) | 0.877378 | − | 22.5206i | 0.0313149 | − | 0.803794i | ||||
\(786\) | 37.3300 | − | 17.9772i | 1.33152 | − | 0.641225i | ||||
\(787\) | 12.3639 | + | 19.6770i | 0.440725 | + | 0.701410i | 0.991043 | − | 0.133545i | \(-0.0426361\pi\) |
−0.550317 | + | 0.834956i | \(0.685493\pi\) | |||||||
\(788\) | 7.13989 | + | 63.3682i | 0.254348 | + | 2.25740i | ||||
\(789\) | 4.64114 | − | 20.3342i | 0.165229 | − | 0.723916i | ||||
\(790\) | 40.8724 | − | 7.66832i | 1.45417 | − | 0.272827i | ||||
\(791\) | 0.796237 | + | 0.791572i | 0.0283109 | + | 0.0281451i | ||||
\(792\) | −11.9307 | + | 7.49655i | −0.423938 | + | 0.266378i | ||||
\(793\) | −4.09708 | + | 1.43363i | −0.145492 | + | 0.0509097i | ||||
\(794\) | −0.0265209 | − | 0.116195i | −0.000941190 | − | 0.00412362i | ||||
\(795\) | 13.8855 | − | 35.2201i | 0.492468 | − | 1.24913i | ||||
\(796\) | −33.0824 | + | 26.3823i | −1.17257 | + | 0.935096i | ||||
\(797\) | −8.56282 | + | 24.4711i | −0.303311 | + | 0.866812i | 0.686840 | + | 0.726808i | \(0.258997\pi\) |
−0.990151 | + | 0.140003i | \(0.955289\pi\) | |||||||
\(798\) | −49.3585 | − | 61.5220i | −1.74727 | − | 2.17785i | ||||
\(799\) | −6.65401 | + | 13.8172i | −0.235402 | + | 0.488817i | ||||
\(800\) | −7.52714 | − | 5.59116i | −0.266124 | − | 0.197677i | ||||
\(801\) | −5.56668 | + | 4.43928i | −0.196689 | + | 0.156854i | ||||
\(802\) | 32.6622 | + | 32.6622i | 1.15334 | + | 1.15334i | ||||
\(803\) | 37.1094 | + | 37.1094i | 1.30956 | + | 1.30956i | ||||
\(804\) | −0.323479 | − | 0.405630i | −0.0114082 | − | 0.0143055i | ||||
\(805\) | −13.5934 | − | 7.16001i | −0.479104 | − | 0.252357i | ||||
\(806\) | 2.94040 | − | 3.68714i | 0.103571 | − | 0.129874i | ||||
\(807\) | −30.8534 | + | 3.47634i | −1.08609 | + | 0.122373i | ||||
\(808\) | 27.7891 | + | 79.4166i | 0.977616 | + | 2.79387i | ||||
\(809\) | 21.8583 | − | 45.3893i | 0.768497 | − | 1.59580i | −0.0342000 | − | 0.999415i | \(-0.510888\pi\) |
0.802697 | − | 0.596386i | \(-0.203397\pi\) | |||||||
\(810\) | −38.0988 | + | 44.1340i | −1.33865 | + | 1.55071i | ||||
\(811\) | −7.83659 | − | 6.24947i | −0.275180 | − | 0.219449i | 0.476169 | − | 0.879354i | \(-0.342025\pi\) |
−0.751349 | + | 0.659905i | \(0.770596\pi\) | |||||||
\(812\) | −34.7539 | − | 71.6282i | −1.21962 | − | 2.51366i | ||||
\(813\) | −19.0746 | − | 2.14919i | −0.668975 | − | 0.0753754i | ||||
\(814\) | 40.8749i | 1.43266i | ||||||||
\(815\) | −0.0491455 | + | 1.26147i | −0.00172149 | + | 0.0441873i | ||||
\(816\) | 17.1877 | + | 21.5527i | 0.601691 | + | 0.754497i | ||||
\(817\) | 25.3028 | + | 15.8988i | 0.885234 | + | 0.556229i | ||||
\(818\) | 21.4567 | + | 61.3197i | 0.750215 | + | 2.14399i | ||||
\(819\) | −1.00140 | − | 0.347105i | −0.0349916 | − | 0.0121288i | ||||
\(820\) | −14.1583 | + | 35.9121i | −0.494429 | + | 1.25410i | ||||
\(821\) | 5.05823 | + | 6.34282i | 0.176533 | + | 0.221366i | 0.862224 | − | 0.506527i | \(-0.169071\pi\) |
−0.685691 | + | 0.727893i | \(0.740500\pi\) | |||||||
\(822\) | 22.8942 | − | 65.4279i | 0.798528 | − | 2.28206i | ||||
\(823\) | 7.80165 | + | 4.90210i | 0.271948 | + | 0.170877i | 0.661101 | − | 0.750297i | \(-0.270089\pi\) |
−0.389153 | + | 0.921173i | \(0.627232\pi\) | |||||||
\(824\) | 2.67436 | + | 1.28791i | 0.0931659 | + | 0.0448663i | ||||
\(825\) | −17.4286 | − | 33.2237i | −0.606786 | − | 1.15670i | ||||
\(826\) | −6.00831 | + | 2.12223i | −0.209056 | + | 0.0738419i | ||||
\(827\) | 6.13777 | − | 9.76820i | 0.213431 | − | 0.339674i | −0.722801 | − | 0.691057i | \(-0.757146\pi\) |
0.936232 | + | 0.351383i | \(0.114288\pi\) | |||||||
\(828\) | −4.47344 | − | 7.11943i | −0.155463 | − | 0.247417i | ||||
\(829\) | 29.1688 | − | 36.5765i | 1.01307 | − | 1.27035i | 0.0506744 | − | 0.998715i | \(-0.483863\pi\) |
0.962399 | − | 0.271639i | \(-0.0875657\pi\) | |||||||
\(830\) | 19.6850 | − | 11.3248i | 0.683277 | − | 0.393089i | ||||
\(831\) | 16.6880 | + | 34.6530i | 0.578901 | + | 1.20210i | ||||
\(832\) | −3.36467 | + | 3.36467i | −0.116649 | + | 0.116649i | ||||
\(833\) | 24.5883 | − | 24.8790i | 0.851935 | − | 0.862005i | ||||
\(834\) | − | 39.8932i | − | 1.38139i | ||||||
\(835\) | 4.07080 | + | 9.36970i | 0.140876 | + | 0.324252i | ||||
\(836\) | −89.2205 | − | 20.3640i | −3.08576 | − | 0.704304i | ||||
\(837\) | −17.4738 | + | 1.96883i | −0.603984 | + | 0.0680526i | ||||
\(838\) | −17.8376 | + | 11.2081i | −0.616189 | + | 0.387177i | ||||
\(839\) | 7.71788 | + | 33.8142i | 0.266451 | + | 1.16740i | 0.914110 | + | 0.405467i | \(0.132891\pi\) |
−0.647659 | + | 0.761930i | \(0.724252\pi\) | |||||||
\(840\) | 43.4145 | − | 25.1464i | 1.49794 | − | 0.867632i | ||||
\(841\) | 7.53951 | − | 33.0328i | 0.259983 | − | 1.13906i | ||||
\(842\) | 25.4866 | + | 72.8364i | 0.878325 | + | 2.51011i | ||||
\(843\) | 24.0790 | − | 38.3214i | 0.829323 | − | 1.31986i | ||||
\(844\) | 26.0698 | + | 54.1345i | 0.897359 | + | 1.86338i | ||||
\(845\) | −4.30252 | + | 28.2502i | −0.148011 | + | 0.971838i | ||||
\(846\) | 2.73494 | + | 5.67916i | 0.0940292 | + | 0.195254i | ||||
\(847\) | 9.32278 | + | 2.09907i | 0.320334 | + | 0.0721248i | ||||
\(848\) | 22.8797 | − | 8.00594i | 0.785691 | − | 0.274925i | ||||
\(849\) | 2.83468 | − | 0.646996i | 0.0972858 | − | 0.0222048i | ||||
\(850\) | −49.7980 | + | 33.7276i | −1.70806 | + | 1.15685i | ||||
\(851\) | −11.5359 | −0.395446 | ||||||||
\(852\) | 87.5057 | − | 87.5057i | 2.99790 | − | 2.99790i | ||||
\(853\) | 0.718572 | − | 6.37751i | 0.0246035 | − | 0.218362i | −0.975394 | − | 0.220467i | \(-0.929242\pi\) |
0.999998 | + | 0.00210579i | \(0.000670294\pi\) | |||||||
\(854\) | −41.7585 | − | 41.5139i | −1.42895 | − | 1.42058i | ||||
\(855\) | 12.0044 | − | 0.881026i | 0.410542 | − | 0.0301305i | ||||
\(856\) | 16.7403 | − | 20.9917i | 0.572173 | − | 0.717482i | ||||
\(857\) | 28.6547 | − | 10.0267i | 0.978827 | − | 0.342506i | 0.207001 | − | 0.978341i | \(-0.433630\pi\) |
0.771825 | + | 0.635834i | \(0.219344\pi\) | |||||||
\(858\) | −8.00447 | + | 2.80088i | −0.273268 | + | 0.0956206i | ||||
\(859\) | −33.8520 | + | 42.4491i | −1.15502 | + | 1.44835i | −0.282832 | + | 0.959170i | \(0.591274\pi\) |
−0.872185 | + | 0.489176i | \(0.837298\pi\) | |||||||
\(860\) | −26.2630 | + | 30.4233i | −0.895559 | + | 1.03742i | ||||
\(861\) | 16.7559 | + | 16.6577i | 0.571039 | + | 0.567694i | ||||
\(862\) | 6.44884 | − | 57.2350i | 0.219648 | − | 1.94943i | ||||
\(863\) | −33.9943 | + | 33.9943i | −1.15718 | + | 1.15718i | −0.172102 | + | 0.985079i | \(0.555056\pi\) |
−0.985079 | + | 0.172102i | \(0.944944\pi\) | |||||||
\(864\) | 7.90260 | 0.268852 | ||||||||
\(865\) | 28.1514 | + | 38.2670i | 0.957177 | + | 1.30112i | ||||
\(866\) | 39.2948 | − | 8.96878i | 1.33529 | − | 0.304772i | ||||
\(867\) | −14.7676 | + | 5.16739i | −0.501532 | + | 0.175494i | ||||
\(868\) | 40.8712 | + | 9.20234i | 1.38726 | + | 0.312348i | ||||
\(869\) | −12.8135 | − | 26.6075i | −0.434668 | − | 0.902598i | ||||
\(870\) | 82.8319 | + | 12.6153i | 2.80826 | + | 0.427700i | ||||
\(871\) | −0.0141884 | − | 0.0294625i | −0.000480755 | − | 0.000998299i | ||||
\(872\) | −4.54688 | + | 7.23631i | −0.153977 | + | 0.245052i | ||||
\(873\) | 3.55057 | + | 10.1469i | 0.120168 | + | 0.343422i | ||||
\(874\) | 8.77631 | − | 38.4515i | 0.296863 | − | 1.30064i | ||||
\(875\) | 12.7897 | + | 26.6725i | 0.432369 | + | 0.901697i | ||||
\(876\) | −22.7566 | − | 99.7031i | −0.768874 | − | 3.36866i | ||||
\(877\) | −21.0854 | + | 13.2488i | −0.712003 | + | 0.447381i | −0.838724 | − | 0.544557i | \(-0.816698\pi\) |
0.126721 | + | 0.991938i | \(0.459555\pi\) | |||||||
\(878\) | −39.6889 | + | 4.47187i | −1.33944 | + | 0.150918i | ||||
\(879\) | −46.9051 | − | 10.7058i | −1.58207 | − | 0.361097i | ||||
\(880\) | 8.81051 | − | 22.3476i | 0.297002 | − | 0.753338i | ||||
\(881\) | − | 36.5759i | − | 1.23227i | −0.787639 | − | 0.616137i | \(-0.788697\pi\) | ||
0.787639 | − | 0.616137i | \(-0.211303\pi\) | |||||||
\(882\) | −1.69365 | − | 14.2771i | −0.0570282 | − | 0.480736i | ||||
\(883\) | −8.66966 | + | 8.66966i | −0.291757 | + | 0.291757i | −0.837774 | − | 0.546017i | \(-0.816143\pi\) |
0.546017 | + | 0.837774i | \(0.316143\pi\) | |||||||
\(884\) | 3.86276 | + | 8.02110i | 0.129919 | + | 0.269779i | ||||
\(885\) | 1.14314 | − | 4.24013i | 0.0384261 | − | 0.142530i | ||||
\(886\) | −20.1976 | + | 25.3270i | −0.678552 | + | 0.850877i | ||||
\(887\) | −13.0295 | − | 20.7364i | −0.437489 | − | 0.696260i | 0.553102 | − | 0.833113i | \(-0.313444\pi\) |
−0.990591 | + | 0.136854i | \(0.956301\pi\) | |||||||
\(888\) | 20.0422 | − | 31.8971i | 0.672574 | − | 1.07040i | ||||
\(889\) | 6.66909 | − | 2.35563i | 0.223674 | − | 0.0790052i | ||||
\(890\) | 11.6925 | − | 43.3697i | 0.391932 | − | 1.45376i | ||||
\(891\) | 37.3043 | + | 17.9648i | 1.24974 | + | 0.601843i | ||||
\(892\) | 27.5850 | + | 17.3328i | 0.923615 | + | 0.580346i | ||||
\(893\) | −6.39499 | + | 18.2758i | −0.214000 | + | 0.611577i | ||||
\(894\) | 48.4175 | + | 60.7137i | 1.61932 | + | 2.03057i | ||||
\(895\) | −45.0488 | − | 17.7604i | −1.50581 | − | 0.593665i | ||||
\(896\) | −51.6132 | − | 17.8902i | −1.72427 | − | 0.597670i | ||||
\(897\) | −0.790479 | − | 2.25906i | −0.0263933 | − | 0.0754278i | ||||
\(898\) | −6.54224 | − | 4.11076i | −0.218317 | − | 0.137178i | ||||
\(899\) | 20.6311 | + | 25.8705i | 0.688084 | + | 0.862830i | ||||
\(900\) | −1.25947 | + | 16.1395i | −0.0419823 | + | 0.537985i | ||||
\(901\) | 43.1002i | 1.43587i | ||||||||
\(902\) | 41.5986 | + | 4.68704i | 1.38508 | + | 0.156061i | ||||
\(903\) | 10.7384 | + | 22.1320i | 0.357352 | + | 0.736506i | ||||
\(904\) | −1.43337 | − | 1.14307i | −0.0476732 | − | 0.0380181i | ||||
\(905\) | 37.0599 | − | 2.71990i | 1.23191 | − | 0.0904124i | ||||
\(906\) | 16.8219 | − | 34.9310i | 0.558870 | − | 1.16051i | ||||
\(907\) | −16.6752 | − | 47.6551i | −0.553693 | − | 1.58236i | −0.791577 | − | 0.611069i | \(-0.790740\pi\) |
0.237885 | − | 0.971293i | \(-0.423546\pi\) | |||||||
\(908\) | −36.2810 | + | 4.08789i | −1.20403 | + | 0.135661i | ||||
\(909\) | −10.3604 | + | 12.9915i | −0.343631 | + | 0.430900i | ||||
\(910\) | 6.38644 | − | 1.97974i | 0.211709 | − | 0.0656278i | ||||
\(911\) | −9.71480 | − | 12.1820i | −0.321866 | − | 0.403607i | 0.594405 | − | 0.804166i | \(-0.297387\pi\) |
−0.916271 | + | 0.400559i | \(0.868816\pi\) | |||||||
\(912\) | 24.6106 | + | 24.6106i | 0.814940 | + | 0.814940i | ||||
\(913\) | −11.4040 | − | 11.4040i | −0.377418 | − | 0.377418i | ||||
\(914\) | 24.3801 | − | 19.4425i | 0.806421 | − | 0.643099i | ||||
\(915\) | 39.8848 | − | 7.48305i | 1.31855 | − | 0.247382i | ||||
\(916\) | 7.67575 | − | 15.9388i | 0.253614 | − | 0.526634i | ||||
\(917\) | 14.5176 | + | 18.0952i | 0.479413 | + | 0.597555i | ||||
\(918\) | 16.7420 | − | 47.8460i | 0.552570 | − | 1.57915i | ||||
\(919\) | −22.3929 | + | 17.8578i | −0.738674 | + | 0.589073i | −0.918871 | − | 0.394558i | \(-0.870898\pi\) |
0.180197 | + | 0.983631i | \(0.442326\pi\) | |||||||
\(920\) | 23.3392 | + | 9.20144i | 0.769470 | + | 0.303363i | ||||
\(921\) | 7.48444 | + | 32.7915i | 0.246621 | + | 1.08052i | ||||
\(922\) | 34.8456 | − | 12.1930i | 1.14758 | − | 0.401555i | ||||
\(923\) | 6.60445 | − | 4.14985i | 0.217388 | − | 0.136594i | ||||
\(924\) | −53.4256 | − | 53.1126i | −1.75757 | − | 1.74728i | ||||
\(925\) | 17.8298 | + | 13.2440i | 0.586240 | + | 0.435459i | ||||
\(926\) | 1.21388 | − | 5.31834i | 0.0398905 | − | 0.174772i | ||||
\(927\) | 0.0656362 | + | 0.582537i | 0.00215577 | + | 0.0191330i | ||||
\(928\) | −7.91175 | − | 12.5915i | −0.259716 | − | 0.413336i | ||||
\(929\) | 0.346256 | − | 0.166748i | 0.0113603 | − | 0.00547083i | −0.428195 | − | 0.903686i | \(-0.640850\pi\) |
0.439555 | + | 0.898216i | \(0.355136\pi\) | |||||||
\(930\) | −32.3664 | + | 29.9391i | −1.06134 | + | 0.981741i | ||||
\(931\) | 27.3319 | − | 34.6893i | 0.895766 | − | 1.13689i | ||||
\(932\) | 18.3689 | + | 18.3689i | 0.601694 | + | 0.601694i | ||||
\(933\) | −5.00089 | + | 14.2917i | −0.163722 | + | 0.467890i | ||||
\(934\) | −0.0598148 | + | 0.262066i | −0.00195720 | + | 0.00857506i | ||||
\(935\) | 32.3316 | + | 27.9104i | 1.05736 | + | 0.912766i | ||||
\(936\) | 1.68724 | + | 0.385101i | 0.0551491 | + | 0.0125874i | ||||
\(937\) | −28.7079 | − | 18.0384i | −0.937847 | − | 0.589288i | −0.0259301 | − | 0.999664i | \(-0.508255\pi\) |
−0.911917 | + | 0.410376i | \(0.865398\pi\) | |||||||
\(938\) | 0.275560 | − | 0.347631i | 0.00899735 | − | 0.0113506i | ||||
\(939\) | 33.9914 | + | 7.75831i | 1.10927 | + | 0.253183i | ||||
\(940\) | −23.0046 | − | 12.2036i | −0.750329 | − | 0.398039i | ||||
\(941\) | 12.3957 | − | 2.82925i | 0.404089 | − | 0.0922308i | −0.0156453 | − | 0.999878i | \(-0.504980\pi\) |
0.419735 | + | 0.907647i | \(0.362123\pi\) | |||||||
\(942\) | 44.9541 | + | 15.7301i | 1.46469 | + | 0.512515i | ||||
\(943\) | −1.32280 | + | 11.7402i | −0.0430763 | + | 0.382313i | ||||
\(944\) | 2.53334 | − | 1.21999i | 0.0824531 | − | 0.0397073i | ||||
\(945\) | −22.0578 | − | 11.6185i | −0.717541 | − | 0.377949i | ||||
\(946\) | 39.2685 | + | 18.9107i | 1.27673 | + | 0.614841i | ||||
\(947\) | −3.38943 | + | 5.39425i | −0.110142 | + | 0.175290i | −0.897247 | − | 0.441529i | \(-0.854436\pi\) |
0.787105 | + | 0.616819i | \(0.211579\pi\) | |||||||
\(948\) | −6.44335 | + | 57.1863i | −0.209270 | + | 1.85732i | ||||
\(949\) | − | 6.44584i | − | 0.209241i | ||||||
\(950\) | −57.7094 | + | 49.3546i | −1.87234 | + | 1.60127i | ||||
\(951\) | 49.1275 | − | 39.1779i | 1.59307 | − | 1.27043i | ||||
\(952\) | −35.4809 | + | 44.7608i | −1.14994 | + | 1.45071i | ||||
\(953\) | 0.615705 | + | 5.46453i | 0.0199446 | + | 0.177013i | 0.999735 | − | 0.0230127i | \(-0.00732583\pi\) |
−0.979791 | + | 0.200026i | \(0.935897\pi\) | |||||||
\(954\) | 13.8502 | + | 11.0452i | 0.448417 | + | 0.357601i | ||||
\(955\) | 20.5633 | − | 6.30829i | 0.665413 | − | 0.204132i | ||||
\(956\) | 69.5065 | + | 33.4726i | 2.24800 | + | 1.08258i | ||||
\(957\) | −6.66207 | − | 59.1275i | −0.215354 | − | 1.91132i | ||||
\(958\) | −18.9423 | + | 2.13428i | −0.611998 | + | 0.0689556i | ||||
\(959\) | 38.5806 | + | 4.23225i | 1.24583 | + | 0.136666i | ||||
\(960\) | 35.8338 | − | 26.3614i | 1.15653 | − | 0.850812i | ||||
\(961\) | 13.5877 | 0.438313 | ||||||||
\(962\) | 3.54995 | − | 3.54995i | 0.114455 | − | 0.114455i | ||||
\(963\) | 5.26924 | + | 0.593700i | 0.169799 | + | 0.0191317i | ||||
\(964\) | 2.22737 | + | 9.75872i | 0.0717386 | + | 0.314307i | ||||
\(965\) | −1.51562 | + | 2.85703i | −0.0487894 | + | 0.0919710i | ||||
\(966\) | 22.8900 | − | 23.0249i | 0.736474 | − | 0.740814i | ||||
\(967\) | −14.7307 | − | 5.15450i | −0.473708 | − | 0.165757i | 0.0828576 | − | 0.996561i | \(-0.473595\pi\) |
−0.556565 | + | 0.830804i | \(0.687881\pi\) | |||||||
\(968\) | −15.5062 | − | 1.74712i | −0.498387 | − | 0.0561547i | ||||
\(969\) | −55.7565 | + | 26.8509i | −1.79116 | + | 0.862575i | ||||
\(970\) | −55.9764 | − | 38.2904i | −1.79729 | − | 1.22943i | ||||
\(971\) | 5.50570 | − | 11.4327i | 0.176686 | − | 0.366893i | −0.793752 | − | 0.608241i | \(-0.791875\pi\) |
0.970439 | + | 0.241348i | \(0.0775897\pi\) | |||||||
\(972\) | −17.4030 | − | 27.6968i | −0.558202 | − | 0.888374i | ||||
\(973\) | 21.7620 | − | 5.03435i | 0.697659 | − | 0.161394i | ||||
\(974\) | 8.89926 | − | 2.03120i | 0.285151 | − | 0.0650838i | ||||
\(975\) | −1.37179 | + | 4.39911i | −0.0439325 | + | 0.140884i | ||||
\(976\) | 20.3143 | + | 16.2001i | 0.650244 | + | 0.518552i | ||||
\(977\) | −3.74359 | + | 2.35225i | −0.119768 | + | 0.0752552i | −0.590584 | − | 0.806976i | \(-0.701102\pi\) |
0.470816 | + | 0.882232i | \(0.343960\pi\) | |||||||
\(978\) | −2.51806 | − | 0.881109i | −0.0805188 | − | 0.0281748i | ||||
\(979\) | −31.8988 | −1.01949 | ||||||||
\(980\) | 40.5883 | + | 43.3652i | 1.29655 | + | 1.38525i | ||||
\(981\) | −1.68783 | −0.0538882 | ||||||||
\(982\) | −66.3602 | − | 23.2204i | −2.11764 | − | 0.740994i | ||||
\(983\) | 42.0933 | − | 26.4490i | 1.34257 | − | 0.843591i | 0.347020 | − | 0.937858i | \(-0.387194\pi\) |
0.995547 | + | 0.0942670i | \(0.0300507\pi\) | |||||||
\(984\) | −30.1636 | − | 24.0547i | −0.961582 | − | 0.766836i | ||||
\(985\) | 9.78141 | − | 36.2812i | 0.311662 | − | 1.15602i | ||||
\(986\) | −92.9961 | + | 21.2258i | −2.96160 | + | 0.675966i | ||||
\(987\) | −12.4323 | + | 9.97431i | −0.395724 | + | 0.317486i | ||||
\(988\) | 5.98013 | + | 9.51732i | 0.190253 | + | 0.302786i | ||||
\(989\) | −5.33708 | + | 11.0826i | −0.169709 | + | 0.352405i | ||||
\(990\) | 17.2545 | − | 3.23723i | 0.548385 | − | 0.102886i | ||||
\(991\) | −46.5011 | + | 22.3937i | −1.47716 | + | 0.711361i | −0.987066 | − | 0.160312i | \(-0.948750\pi\) |
−0.490089 | + | 0.871672i | \(0.663036\pi\) | |||||||
\(992\) | 7.77606 | + | 0.876151i | 0.246890 | + | 0.0278178i | ||||
\(993\) | 46.9874 | + | 16.4416i | 1.49110 | + | 0.521759i | ||||
\(994\) | 89.7568 | + | 56.0308i | 2.84691 | + | 1.77719i | ||||
\(995\) | 23.8374 | − | 7.31271i | 0.755698 | − | 0.231829i | ||||
\(996\) | 6.99327 | + | 30.6395i | 0.221590 | + | 0.970850i | ||||
\(997\) | 15.9031 | + | 1.79185i | 0.503658 | + | 0.0567486i | 0.360138 | − | 0.932899i | \(-0.382730\pi\) |
0.143519 | + | 0.989648i | \(0.454158\pi\) | |||||||
\(998\) | −39.2721 | + | 39.2721i | −1.24314 | + | 1.24314i | ||||
\(999\) | −18.7192 | −0.592249 |
(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 | 245.2.s.a.27.4 | ✓ | 312 | |
5.3 | odd | 4 | inner | 245.2.s.a.223.4 | yes | 312 | |
49.20 | odd | 14 | inner | 245.2.s.a.167.4 | yes | 312 | |
245.118 | even | 28 | inner | 245.2.s.a.118.4 | yes | 312 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
245.2.s.a.27.4 | ✓ | 312 | 1.1 | even | 1 | trivial | |
245.2.s.a.118.4 | yes | 312 | 245.118 | even | 28 | inner | |
245.2.s.a.167.4 | yes | 312 | 49.20 | odd | 14 | inner | |
245.2.s.a.223.4 | yes | 312 | 5.3 | odd | 4 | inner |