Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [805,2,Mod(37,805)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(805, base_ring=CyclotomicField(132))
chi = DirichletCharacter(H, H._module([33, 44, 126]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("805.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 805 = 5 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 805.bs (of order \(132\), degree \(40\), 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: | \(6.42795736271\) |
Analytic rank: | \(0\) |
Dimension: | \(3680\) |
Relative dimension: | \(92\) over \(\Q(\zeta_{132})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{132}]$ |
Embedding invariants
Embedding label | 37.6 | ||
Character | \(\chi\) | \(=\) | 805.37 |
Dual form | 805.2.bs.a.718.6 |
$q$-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 \(\left(\mathbb{Z}/805\mathbb{Z}\right)^\times\).
\(n\) | \(162\) | \(281\) | \(346\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{21}{22}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.22496 | + | 1.35619i | −1.57329 | + | 0.958969i | −0.584205 | + | 0.811606i | \(0.698594\pi\) |
−0.989083 | + | 0.147363i | \(0.952922\pi\) | |||||||
\(3\) | 1.31748 | + | 2.71216i | 0.760650 | + | 1.56586i | 0.823153 | + | 0.567820i | \(0.192213\pi\) |
−0.0625024 | + | 0.998045i | \(0.519908\pi\) | |||||||
\(4\) | 2.19477 | − | 4.25726i | 1.09739 | − | 2.12863i | ||||
\(5\) | −2.13549 | + | 0.663098i | −0.955018 | + | 0.296546i | ||||
\(6\) | −6.60955 | − | 4.24770i | −2.69834 | − | 1.73412i | ||||
\(7\) | 2.64575 | + | 0.00158949i | 1.00000 | + | 0.000600772i | ||||
\(8\) | 0.518576 | + | 7.25065i | 0.183344 | + | 2.56349i | ||||
\(9\) | −3.76556 | + | 4.78829i | −1.25519 | + | 1.59610i | ||||
\(10\) | 3.85210 | − | 4.37149i | 1.21814 | − | 1.38239i | ||||
\(11\) | −4.75150 | + | 1.15270i | −1.43263 | + | 0.347553i | −0.875640 | − | 0.482965i | \(-0.839560\pi\) |
−0.556993 | + | 0.830518i | \(0.688045\pi\) | |||||||
\(12\) | 14.4379 | + | 0.343687i | 4.16788 | + | 0.0992140i | ||||
\(13\) | −2.03592 | − | 0.759360i | −0.564663 | − | 0.210608i | 0.0508894 | − | 0.998704i | \(-0.483794\pi\) |
−0.615553 | + | 0.788096i | \(0.711067\pi\) | |||||||
\(14\) | −5.88886 | + | 3.58460i | −1.57386 | + | 0.958023i | ||||
\(15\) | −4.61190 | − | 4.91815i | −1.19079 | − | 1.26986i | ||||
\(16\) | −5.43043 | − | 7.62598i | −1.35761 | − | 1.90649i | ||||
\(17\) | 0.853036 | + | 0.938372i | 0.206892 | + | 0.227589i | 0.834595 | − | 0.550864i | \(-0.185702\pi\) |
−0.627703 | + | 0.778453i | \(0.716005\pi\) | |||||||
\(18\) | 1.88441 | − | 15.7606i | 0.444159 | − | 3.71480i | ||||
\(19\) | 0.155938 | + | 3.27354i | 0.0357746 | + | 0.751001i | 0.943487 | + | 0.331409i | \(0.107524\pi\) |
−0.907713 | + | 0.419592i | \(0.862173\pi\) | |||||||
\(20\) | −1.86392 | + | 10.5467i | −0.416786 | + | 2.35831i | ||||
\(21\) | 3.48143 | + | 7.17779i | 0.759709 | + | 1.56632i | ||||
\(22\) | 9.00865 | − | 9.00865i | 1.92065 | − | 1.92065i | ||||
\(23\) | 1.97093 | + | 4.37212i | 0.410967 | + | 0.911650i | ||||
\(24\) | −18.9817 | + | 10.9591i | −3.87462 | + | 2.23701i | ||||
\(25\) | 4.12060 | − | 2.83207i | 0.824120 | − | 0.566415i | ||||
\(26\) | 5.55969 | − | 1.07154i | 1.09034 | − | 0.210147i | ||||
\(27\) | −9.10873 | − | 1.98148i | −1.75297 | − | 0.381336i | ||||
\(28\) | 5.81359 | − | 11.2602i | 1.09866 | − | 2.12797i | ||||
\(29\) | 2.52404 | − | 3.92748i | 0.468702 | − | 0.729315i | −0.523760 | − | 0.851866i | \(-0.675471\pi\) |
0.992462 | + | 0.122551i | \(0.0391075\pi\) | |||||||
\(30\) | 16.9312 | + | 4.68812i | 3.09121 | + | 0.855930i | ||||
\(31\) | −6.60499 | − | 1.27301i | −1.18629 | − | 0.228639i | −0.442324 | − | 0.896855i | \(-0.645846\pi\) |
−0.743967 | + | 0.668217i | \(0.767058\pi\) | |||||||
\(32\) | 9.06026 | + | 3.87983i | 1.60164 | + | 0.685864i | ||||
\(33\) | −9.38635 | − | 11.3682i | −1.63395 | − | 1.97894i | ||||
\(34\) | −3.17058 | − | 0.930967i | −0.543750 | − | 0.159660i | ||||
\(35\) | −5.65102 | + | 1.75100i | −0.955196 | + | 0.295973i | ||||
\(36\) | 12.1205 | + | 26.5402i | 2.02008 | + | 4.42336i | ||||
\(37\) | −11.4572 | + | 1.36988i | −1.88355 | + | 0.225206i | −0.979389 | − | 0.201981i | \(-0.935262\pi\) |
−0.904163 | + | 0.427187i | \(0.859505\pi\) | |||||||
\(38\) | −4.78648 | − | 7.07202i | −0.776470 | − | 1.14723i | ||||
\(39\) | −0.622793 | − | 6.52219i | −0.0997267 | − | 1.04439i | ||||
\(40\) | −5.91530 | − | 15.1398i | −0.935291 | − | 2.39381i | ||||
\(41\) | −0.603121 | − | 4.19480i | −0.0941917 | − | 0.655117i | −0.981147 | − | 0.193262i | \(-0.938093\pi\) |
0.886955 | − | 0.461855i | \(-0.152816\pi\) | |||||||
\(42\) | −17.4805 | − | 11.2489i | −2.69729 | − | 1.73574i | ||||
\(43\) | 0.482201 | − | 6.74205i | 0.0735350 | − | 1.02815i | −0.818005 | − | 0.575211i | \(-0.804920\pi\) |
0.891540 | − | 0.452942i | \(-0.149626\pi\) | |||||||
\(44\) | −5.52111 | + | 22.7583i | −0.832339 | + | 3.43095i | ||||
\(45\) | 4.86618 | − | 12.7223i | 0.725408 | − | 1.89652i | ||||
\(46\) | −10.3147 | − | 7.05487i | −1.52081 | − | 1.04018i | ||||
\(47\) | −0.468747 | + | 0.125600i | −0.0683738 | + | 0.0183207i | −0.292844 | − | 0.956160i | \(-0.594602\pi\) |
0.224470 | + | 0.974481i | \(0.427935\pi\) | |||||||
\(48\) | 13.5283 | − | 24.7753i | 1.95265 | − | 3.57601i | ||||
\(49\) | 6.99999 | + | 0.00841080i | 0.999999 | + | 0.00120154i | ||||
\(50\) | −5.32737 | + | 11.8896i | −0.753404 | + | 1.68144i | ||||
\(51\) | −1.42115 | + | 3.54986i | −0.199001 | + | 0.497080i | ||||
\(52\) | −7.70118 | + | 7.00084i | −1.06796 | + | 0.970841i | ||||
\(53\) | −0.511300 | − | 0.422165i | −0.0702324 | − | 0.0579888i | 0.600913 | − | 0.799314i | \(-0.294804\pi\) |
−0.671146 | + | 0.741325i | \(0.734198\pi\) | |||||||
\(54\) | 22.9539 | − | 7.94440i | 3.12362 | − | 1.08110i | ||||
\(55\) | 9.38242 | − | 5.61229i | 1.26512 | − | 0.756761i | ||||
\(56\) | 1.36050 | + | 19.1842i | 0.181804 | + | 2.56360i | ||||
\(57\) | −8.67290 | + | 4.73576i | −1.14875 | + | 0.627267i | ||||
\(58\) | −0.289499 | + | 12.1616i | −0.0380131 | + | 1.59689i | ||||
\(59\) | −2.11627 | − | 1.50699i | −0.275515 | − | 0.196194i | 0.433944 | − | 0.900940i | \(-0.357122\pi\) |
−0.709460 | + | 0.704746i | \(0.751061\pi\) | |||||||
\(60\) | −31.0599 | + | 8.83984i | −4.00982 | + | 1.14122i | ||||
\(61\) | −5.12519 | + | 1.77385i | −0.656213 | + | 0.227118i | −0.634828 | − | 0.772654i | \(-0.718929\pi\) |
−0.0213855 | + | 0.999771i | \(0.506808\pi\) | |||||||
\(62\) | 16.4223 | − | 6.12520i | 2.08563 | − | 0.777901i | ||||
\(63\) | −9.97033 | + | 12.6626i | −1.25614 | + | 1.59534i | ||||
\(64\) | −6.88732 | + | 0.990247i | −0.860915 | + | 0.123781i | ||||
\(65\) | 4.85121 | + | 0.271586i | 0.601719 | + | 0.0336861i | ||||
\(66\) | 36.3016 | + | 12.5641i | 4.46842 | + | 1.54654i | ||||
\(67\) | 7.52343 | − | 0.179091i | 0.919133 | − | 0.0218794i | 0.438432 | − | 0.898764i | \(-0.355534\pi\) |
0.480701 | + | 0.876885i | \(0.340382\pi\) | |||||||
\(68\) | 5.86712 | − | 1.57209i | 0.711492 | − | 0.190644i | ||||
\(69\) | −9.26122 | + | 11.1057i | −1.11492 | + | 1.33697i | ||||
\(70\) | 10.1986 | − | 11.5597i | 1.21897 | − | 1.38165i | ||||
\(71\) | −4.76985 | + | 1.40055i | −0.566077 | + | 0.166215i | −0.552234 | − | 0.833689i | \(-0.686225\pi\) |
−0.0138425 | + | 0.999904i | \(0.504406\pi\) | |||||||
\(72\) | −36.6710 | − | 24.8196i | −4.32171 | − | 2.92502i | ||||
\(73\) | −2.47244 | + | 0.790352i | −0.289377 | + | 0.0925037i | −0.445641 | − | 0.895212i | \(-0.647024\pi\) |
0.156265 | + | 0.987715i | \(0.450055\pi\) | |||||||
\(74\) | 23.6341 | − | 18.5860i | 2.74740 | − | 2.16058i | ||||
\(75\) | 13.1099 | + | 7.44451i | 1.51380 | + | 0.859618i | ||||
\(76\) | 14.2786 | + | 6.52080i | 1.63786 | + | 0.747987i | ||||
\(77\) | −12.5731 | + | 3.04221i | −1.43284 | + | 0.346692i | ||||
\(78\) | 10.2310 | + | 13.6670i | 1.15843 | + | 1.54748i | ||||
\(79\) | 11.6073 | + | 1.10836i | 1.30593 | + | 0.124701i | 0.724713 | − | 0.689051i | \(-0.241972\pi\) |
0.581213 | + | 0.813752i | \(0.302578\pi\) | |||||||
\(80\) | 16.6534 | + | 12.6843i | 1.86191 | + | 1.41814i | ||||
\(81\) | −2.31809 | − | 9.55531i | −0.257566 | − | 1.06170i | ||||
\(82\) | 7.03085 | + | 8.51533i | 0.776428 | + | 0.940361i | ||||
\(83\) | 9.59070 | − | 7.17951i | 1.05272 | − | 0.788053i | 0.0748309 | − | 0.997196i | \(-0.476158\pi\) |
0.977885 | + | 0.209143i | \(0.0670674\pi\) | |||||||
\(84\) | 38.1987 | + | 0.932260i | 4.16782 | + | 0.101718i | ||||
\(85\) | −2.44388 | − | 1.43823i | −0.265076 | − | 0.155998i | ||||
\(86\) | 8.07060 | + | 15.6548i | 0.870276 | + | 1.68810i | ||||
\(87\) | 13.9773 | + | 1.67119i | 1.49853 | + | 0.179171i | ||||
\(88\) | −10.8219 | − | 33.8537i | −1.15361 | − | 3.60882i | ||||
\(89\) | −8.94549 | + | 1.72410i | −0.948220 | + | 0.182754i | −0.639839 | − | 0.768509i | \(-0.720999\pi\) |
−0.308381 | + | 0.951263i | \(0.599787\pi\) | |||||||
\(90\) | 6.42668 | + | 34.9060i | 0.677432 | + | 3.67942i | ||||
\(91\) | −5.38533 | − | 2.01231i | −0.564537 | − | 0.210948i | ||||
\(92\) | 22.9390 | + | 1.20506i | 2.39156 | + | 0.125636i | ||||
\(93\) | −5.24938 | − | 19.5909i | −0.544335 | − | 2.03149i | ||||
\(94\) | 0.872608 | − | 0.915165i | 0.0900026 | − | 0.0943921i | ||||
\(95\) | −2.50368 | − | 6.88719i | −0.256872 | − | 0.706611i | ||||
\(96\) | 1.41405 | + | 29.6845i | 0.144320 | + | 3.02966i | ||||
\(97\) | 7.04360 | + | 5.27277i | 0.715169 | + | 0.535369i | 0.893755 | − | 0.448556i | \(-0.148061\pi\) |
−0.178586 | + | 0.983924i | \(0.557152\pi\) | |||||||
\(98\) | −15.5861 | + | 9.47459i | −1.57444 | + | 0.957078i | ||||
\(99\) | 12.3726 | − | 27.0922i | 1.24349 | − | 2.72286i | ||||
\(100\) | −3.01310 | − | 23.7582i | −0.301310 | − | 2.37582i | ||||
\(101\) | −15.1782 | + | 6.07644i | −1.51029 | + | 0.604628i | −0.971337 | − | 0.237708i | \(-0.923604\pi\) |
−0.538952 | + | 0.842336i | \(0.681180\pi\) | |||||||
\(102\) | −1.65227 | − | 9.82566i | −0.163599 | − | 0.972885i | ||||
\(103\) | 6.77392 | + | 0.161249i | 0.667454 | + | 0.0158884i | 0.356160 | − | 0.934425i | \(-0.384086\pi\) |
0.311294 | + | 0.950314i | \(0.399237\pi\) | |||||||
\(104\) | 4.45007 | − | 15.1555i | 0.436365 | − | 1.48612i | ||||
\(105\) | −12.1941 | − | 13.0195i | −1.19002 | − | 1.27058i | ||||
\(106\) | 1.71016 | + | 0.245884i | 0.166105 | + | 0.0238823i | ||||
\(107\) | −9.56243 | − | 4.64514i | −0.924435 | − | 0.449063i | −0.0873760 | − | 0.996175i | \(-0.527848\pi\) |
−0.837059 | + | 0.547113i | \(0.815727\pi\) | |||||||
\(108\) | −28.4273 | + | 34.4293i | −2.73541 | + | 3.31297i | ||||
\(109\) | −0.792508 | + | 16.6368i | −0.0759085 | + | 1.59352i | 0.564468 | + | 0.825455i | \(0.309081\pi\) |
−0.640377 | + | 0.768061i | \(0.721222\pi\) | |||||||
\(110\) | −13.2642 | + | 25.2115i | −1.26469 | + | 2.40382i | ||||
\(111\) | −18.8100 | − | 29.2690i | −1.78537 | − | 2.77809i | ||||
\(112\) | −14.3555 | − | 20.1851i | −1.35646 | − | 1.90731i | ||||
\(113\) | 7.61656 | + | 4.15895i | 0.716505 | + | 0.391241i | 0.795759 | − | 0.605613i | \(-0.207072\pi\) |
−0.0792541 | + | 0.996854i | \(0.525254\pi\) | |||||||
\(114\) | 12.8743 | − | 22.2990i | 1.20579 | − | 2.08849i | ||||
\(115\) | −7.10803 | − | 8.02969i | −0.662827 | − | 0.748772i | ||||
\(116\) | −11.1806 | − | 19.3654i | −1.03810 | − | 1.79803i | ||||
\(117\) | 11.3024 | − | 6.88918i | 1.04491 | − | 0.636905i | ||||
\(118\) | 6.75240 | + | 0.482941i | 0.621609 | + | 0.0444583i | ||||
\(119\) | 2.25543 | + | 2.48405i | 0.206755 | + | 0.227713i | ||||
\(120\) | 33.2682 | − | 35.9897i | 3.03695 | − | 3.28539i | ||||
\(121\) | 11.4709 | − | 5.91365i | 1.04281 | − | 0.537604i | ||||
\(122\) | 8.99770 | − | 10.8975i | 0.814613 | − | 0.986609i | ||||
\(123\) | 10.5824 | − | 7.16234i | 0.954178 | − | 0.645807i | ||||
\(124\) | −19.9160 | + | 25.3252i | −1.78851 | + | 2.27427i | ||||
\(125\) | −6.92155 | + | 8.78022i | −0.619082 | + | 0.785326i | ||||
\(126\) | 5.01073 | − | 41.6956i | 0.446391 | − | 3.71454i | ||||
\(127\) | −3.79232 | − | 6.94511i | −0.336514 | − | 0.616279i | 0.653552 | − | 0.756881i | \(-0.273278\pi\) |
−0.990066 | + | 0.140602i | \(0.955096\pi\) | |||||||
\(128\) | −1.21928 | + | 1.00672i | −0.107770 | + | 0.0889827i | ||||
\(129\) | 18.9208 | − | 7.57475i | 1.66588 | − | 0.666919i | ||||
\(130\) | −11.1621 | + | 5.97488i | −0.978981 | + | 0.524032i | ||||
\(131\) | −0.498440 | − | 0.699961i | −0.0435489 | − | 0.0611559i | 0.792227 | − | 0.610226i | \(-0.208921\pi\) |
−0.835776 | + | 0.549070i | \(0.814982\pi\) | |||||||
\(132\) | −68.9981 | + | 15.0096i | −6.00552 | + | 1.30642i | ||||
\(133\) | 0.407369 | + | 8.66121i | 0.0353234 | + | 0.751022i | ||||
\(134\) | −16.4965 | + | 10.6016i | −1.42508 | + | 0.915842i | ||||
\(135\) | 20.7655 | − | 1.80855i | 1.78721 | − | 0.155655i | ||||
\(136\) | −6.36144 | + | 6.67168i | −0.545489 | + | 0.572092i | ||||
\(137\) | 10.9696 | + | 2.93929i | 0.937194 | + | 0.251120i | 0.694920 | − | 0.719087i | \(-0.255440\pi\) |
0.242274 | + | 0.970208i | \(0.422107\pi\) | |||||||
\(138\) | 5.54453 | − | 37.2697i | 0.471981 | − | 3.17260i | ||||
\(139\) | 19.8032i | 1.67969i | 0.542829 | + | 0.839843i | \(0.317353\pi\) | ||||
−0.542829 | + | 0.839843i | \(0.682647\pi\) | |||||||
\(140\) | −4.94824 | + | 27.9009i | −0.418202 | + | 2.35806i | ||||
\(141\) | −0.958215 | − | 1.10584i | −0.0806963 | − | 0.0931285i | ||||
\(142\) | 8.71333 | − | 9.58498i | 0.731206 | − | 0.804354i | ||||
\(143\) | 10.5490 | + | 1.26129i | 0.882152 | + | 0.105474i | ||||
\(144\) | 56.9640 | + | 2.71353i | 4.74700 | + | 0.226128i | ||||
\(145\) | −2.78574 | + | 10.0608i | −0.231343 | + | 0.835501i | ||||
\(146\) | 4.42922 | − | 5.11159i | 0.366565 | − | 0.423038i | ||||
\(147\) | 9.19958 | + | 18.9962i | 0.758768 | + | 1.56678i | ||||
\(148\) | −19.3140 | + | 51.7829i | −1.58760 | + | 4.25653i | ||||
\(149\) | 9.09528 | − | 8.67233i | 0.745114 | − | 0.710465i | −0.219067 | − | 0.975710i | \(-0.570301\pi\) |
0.964181 | + | 0.265245i | \(0.0854528\pi\) | |||||||
\(150\) | −39.2651 | + | 1.21565i | −3.20598 | + | 0.0992573i | ||||
\(151\) | −4.70075 | + | 6.60128i | −0.382542 | + | 0.537205i | −0.960288 | − | 0.279012i | \(-0.909993\pi\) |
0.577746 | + | 0.816217i | \(0.303932\pi\) | |||||||
\(152\) | −23.6544 | + | 2.82823i | −1.91862 | + | 0.229400i | ||||
\(153\) | −7.70535 | + | 0.551098i | −0.622941 | + | 0.0445536i | ||||
\(154\) | 23.8490 | − | 23.8203i | 1.92180 | − | 1.91950i | ||||
\(155\) | 14.9490 | − | 1.66127i | 1.20073 | − | 0.133436i | ||||
\(156\) | −29.1336 | − | 11.6633i | −2.33255 | − | 0.933813i | ||||
\(157\) | −6.81073 | + | 2.17715i | −0.543555 | + | 0.173756i | −0.563607 | − | 0.826043i | \(-0.690587\pi\) |
0.0200516 | + | 0.999799i | \(0.493617\pi\) | |||||||
\(158\) | −27.3290 | + | 13.2756i | −2.17418 | + | 1.05615i | ||||
\(159\) | 0.471348 | − | 1.94292i | 0.0373803 | − | 0.154084i | ||||
\(160\) | −21.9208 | − | 2.27748i | −1.73299 | − | 0.180051i | ||||
\(161\) | 5.20763 | + | 11.5707i | 0.410419 | + | 0.911897i | ||||
\(162\) | 18.1165 | + | 18.1165i | 1.42336 | + | 1.42336i | ||||
\(163\) | −4.04306 | − | 6.63306i | −0.316677 | − | 0.519541i | 0.655070 | − | 0.755569i | \(-0.272639\pi\) |
−0.971746 | + | 0.236027i | \(0.924154\pi\) | |||||||
\(164\) | −19.1821 | − | 6.63898i | −1.49787 | − | 0.518417i | ||||
\(165\) | 27.5826 | + | 18.0525i | 2.14730 | + | 1.40538i | ||||
\(166\) | −11.6022 | + | 28.9809i | −0.900506 | + | 2.24936i | ||||
\(167\) | 3.40410 | + | 15.6484i | 0.263417 | + | 1.21091i | 0.898678 | + | 0.438610i | \(0.144529\pi\) |
−0.635261 | + | 0.772298i | \(0.719107\pi\) | |||||||
\(168\) | −50.2382 | + | 28.9648i | −3.87596 | + | 2.23468i | ||||
\(169\) | −6.25639 | − | 5.42120i | −0.481261 | − | 0.417015i | ||||
\(170\) | 7.38806 | − | 0.114340i | 0.566638 | − | 0.00876946i | ||||
\(171\) | −16.2619 | − | 11.5800i | −1.24357 | − | 0.885546i | ||||
\(172\) | −27.6444 | − | 16.8501i | −2.10786 | − | 1.28481i | ||||
\(173\) | 0.172763 | − | 7.25762i | 0.0131350 | − | 0.551786i | −0.954326 | − | 0.298767i | \(-0.903425\pi\) |
0.967461 | − | 0.253020i | \(-0.0814237\pi\) | |||||||
\(174\) | −33.3655 | + | 15.2375i | −2.52943 | + | 1.15515i | ||||
\(175\) | 10.9066 | − | 7.48641i | 0.824461 | − | 0.565919i | ||||
\(176\) | 34.5932 | + | 29.9752i | 2.60756 | + | 2.25947i | ||||
\(177\) | 1.29904 | − | 7.72511i | 0.0976419 | − | 0.580655i | ||||
\(178\) | 17.5652 | − | 15.9678i | 1.31657 | − | 1.19684i | ||||
\(179\) | −15.5475 | − | 19.7703i | −1.16208 | − | 1.47770i | −0.849330 | − | 0.527862i | \(-0.822994\pi\) |
−0.312745 | − | 0.949837i | \(-0.601249\pi\) | |||||||
\(180\) | −43.4819 | − | 48.6391i | −3.24095 | − | 3.62534i | ||||
\(181\) | −17.7205 | + | 15.3549i | −1.31715 | + | 1.14132i | −0.337347 | + | 0.941380i | \(0.609529\pi\) |
−0.979808 | + | 0.199941i | \(0.935925\pi\) | |||||||
\(182\) | 14.7113 | − | 2.82620i | 1.09047 | − | 0.209492i | ||||
\(183\) | −11.5633 | − | 11.5633i | −0.854784 | − | 0.854784i | ||||
\(184\) | −30.6786 | + | 16.5578i | −2.26166 | + | 1.22065i | ||||
\(185\) | 23.5583 | − | 10.5226i | 1.73204 | − | 0.773637i | ||||
\(186\) | 38.2486 | + | 36.4700i | 2.80453 | + | 2.67411i | ||||
\(187\) | −5.13487 | − | 3.47538i | −0.375499 | − | 0.254145i | ||||
\(188\) | −0.494079 | + | 2.27124i | −0.0360344 | + | 0.165648i | ||||
\(189\) | −24.0963 | − | 5.25699i | −1.75275 | − | 0.382389i | ||||
\(190\) | 14.9109 | + | 11.9283i | 1.08175 | + | 0.865370i | ||||
\(191\) | −13.1676 | + | 9.37657i | −0.952771 | + | 0.678465i | −0.946904 | − | 0.321518i | \(-0.895807\pi\) |
−0.00586722 | + | 0.999983i | \(0.501868\pi\) | |||||||
\(192\) | −11.7596 | − | 17.3749i | −0.848680 | − | 1.25392i | ||||
\(193\) | 1.28126 | − | 2.99202i | 0.0922270 | − | 0.215370i | −0.866818 | − | 0.498625i | \(-0.833838\pi\) |
0.959045 | + | 0.283255i | \(0.0914142\pi\) | |||||||
\(194\) | −22.8226 | − | 2.17930i | −1.63857 | − | 0.156464i | ||||
\(195\) | 5.65481 | + | 13.5151i | 0.404950 | + | 0.967834i | ||||
\(196\) | 15.3992 | − | 29.7824i | 1.09994 | − | 2.12731i | ||||
\(197\) | −2.83189 | + | 7.59259i | −0.201764 | + | 0.540949i | −0.997943 | − | 0.0641117i | \(-0.979579\pi\) |
0.796179 | + | 0.605061i | \(0.206851\pi\) | |||||||
\(198\) | 9.21349 | + | 77.0586i | 0.654774 | + | 5.47632i | ||||
\(199\) | −0.798957 | − | 0.153986i | −0.0566365 | − | 0.0109158i | 0.160854 | − | 0.986978i | \(-0.448575\pi\) |
−0.217491 | + | 0.976062i | \(0.569787\pi\) | |||||||
\(200\) | 22.6712 | + | 28.4084i | 1.60310 | + | 2.00878i | ||||
\(201\) | 10.3977 | + | 20.1688i | 0.733399 | + | 1.42260i | ||||
\(202\) | 25.5302 | − | 34.1044i | 1.79630 | − | 2.39957i | ||||
\(203\) | 6.68422 | − | 10.3871i | 0.469140 | − | 0.729033i | ||||
\(204\) | 11.9936 | + | 13.8413i | 0.839719 | + | 0.969088i | ||||
\(205\) | 4.06952 | + | 8.55800i | 0.284227 | + | 0.597717i | ||||
\(206\) | −15.2904 | + | 8.82792i | −1.06533 | + | 0.615071i | ||||
\(207\) | −28.3566 | − | 7.02610i | −1.97092 | − | 0.488347i | ||||
\(208\) | 5.26508 | + | 19.6495i | 0.365068 | + | 1.36245i | ||||
\(209\) | −4.51435 | − | 15.3745i | −0.312264 | − | 1.06347i | ||||
\(210\) | 44.7884 | + | 12.4305i | 3.09069 | + | 0.857787i | ||||
\(211\) | 7.35603 | − | 4.72743i | 0.506410 | − | 0.325450i | −0.262366 | − | 0.964968i | \(-0.584503\pi\) |
0.768776 | + | 0.639519i | \(0.220866\pi\) | |||||||
\(212\) | −2.91945 | + | 1.25018i | −0.200509 | + | 0.0858629i | ||||
\(213\) | −10.0827 | − | 11.0914i | −0.690857 | − | 0.759968i | ||||
\(214\) | 27.5757 | − | 2.63316i | 1.88504 | − | 0.179999i | ||||
\(215\) | 3.44091 | + | 14.7173i | 0.234668 | + | 1.00371i | ||||
\(216\) | 9.64345 | − | 67.0717i | 0.656154 | − | 4.56365i | ||||
\(217\) | −17.4731 | − | 3.37856i | −1.18615 | − | 0.229351i | ||||
\(218\) | −20.7993 | − | 38.0911i | −1.40871 | − | 2.57985i | ||||
\(219\) | −5.40095 | − | 5.66436i | −0.364963 | − | 0.382762i | ||||
\(220\) | −3.30075 | − | 52.2611i | −0.222536 | − | 3.52344i | ||||
\(221\) | −1.02415 | − | 2.55821i | −0.0688920 | − | 0.172084i | ||||
\(222\) | 81.5458 | + | 39.6125i | 5.47299 | + | 2.65862i | ||||
\(223\) | 4.19548 | + | 11.2485i | 0.280950 | + | 0.753257i | 0.998395 | + | 0.0566410i | \(0.0180391\pi\) |
−0.717444 | + | 0.696616i | \(0.754688\pi\) | |||||||
\(224\) | 23.9650 | + | 10.2795i | 1.60123 | + | 0.686826i | ||||
\(225\) | −1.95556 | + | 30.3950i | −0.130371 | + | 2.02633i | ||||
\(226\) | −22.5869 | + | 1.07595i | −1.50246 | + | 0.0715709i | ||||
\(227\) | 5.77387 | + | 11.8860i | 0.383225 | + | 0.788903i | 0.999998 | + | 0.00176172i | \(0.000560772\pi\) |
−0.616773 | + | 0.787141i | \(0.711560\pi\) | |||||||
\(228\) | 1.12635 | + | 47.3168i | 0.0745943 | + | 3.13363i | ||||
\(229\) | −3.24814 | + | 5.62594i | −0.214643 | + | 0.371773i | −0.953162 | − | 0.302460i | \(-0.902192\pi\) |
0.738519 | + | 0.674233i | \(0.235525\pi\) | |||||||
\(230\) | 26.7049 | + | 8.22596i | 1.76087 | + | 0.542403i | ||||
\(231\) | −24.8159 | − | 30.0922i | −1.63276 | − | 1.97992i | ||||
\(232\) | 29.7857 | + | 16.2642i | 1.95553 | + | 1.06780i | ||||
\(233\) | −14.5646 | + | 21.5191i | −0.954155 | + | 1.40976i | −0.0423676 | + | 0.999102i | \(0.513490\pi\) |
−0.911788 | + | 0.410661i | \(0.865298\pi\) | |||||||
\(234\) | −15.8045 | + | 30.6564i | −1.03317 | + | 2.00407i | ||||
\(235\) | 0.917717 | − | 0.579043i | 0.0598653 | − | 0.0377726i | ||||
\(236\) | −11.0604 | + | 5.70203i | −0.719971 | + | 0.371171i | ||||
\(237\) | 12.2864 | + | 32.9411i | 0.798088 | + | 2.13976i | ||||
\(238\) | −8.38709 | − | 2.46815i | −0.543654 | − | 0.159986i | ||||
\(239\) | −18.4644 | − | 2.65478i | −1.19436 | − | 0.171724i | −0.483686 | − | 0.875241i | \(-0.660702\pi\) |
−0.710678 | + | 0.703518i | \(0.751611\pi\) | |||||||
\(240\) | −12.4611 | + | 61.8779i | −0.804362 | + | 3.99420i | ||||
\(241\) | −8.67710 | + | 2.10504i | −0.558941 | + | 0.135598i | −0.505270 | − | 0.862961i | \(-0.668607\pi\) |
−0.0536705 | + | 0.998559i | \(0.517092\pi\) | |||||||
\(242\) | −17.5023 | + | 28.7143i | −1.12509 | + | 1.84583i | ||||
\(243\) | 1.29688 | − | 1.07080i | 0.0831951 | − | 0.0686917i | ||||
\(244\) | −3.69689 | + | 25.7125i | −0.236669 | + | 1.64607i | ||||
\(245\) | −14.9540 | + | 4.62372i | −0.955374 | + | 0.295399i | ||||
\(246\) | −13.8319 | + | 30.2876i | −0.881889 | + | 1.93107i | ||||
\(247\) | 2.16832 | − | 6.78308i | 0.137967 | − | 0.431597i | ||||
\(248\) | 5.80493 | − | 48.5506i | 0.368614 | − | 3.08296i | ||||
\(249\) | 32.1076 | + | 16.5526i | 2.03473 | + | 1.04898i | ||||
\(250\) | 3.49258 | − | 28.9226i | 0.220890 | − | 1.82922i | ||||
\(251\) | 4.30505 | + | 14.6616i | 0.271732 | + | 0.925435i | 0.976413 | + | 0.215910i | \(0.0692719\pi\) |
−0.704681 | + | 0.709524i | \(0.748910\pi\) | |||||||
\(252\) | 32.0256 | + | 70.2380i | 2.01742 | + | 4.42458i | ||||
\(253\) | −14.4046 | − | 18.5023i | −0.905611 | − | 1.16323i | ||||
\(254\) | 17.8566 | + | 10.3095i | 1.12043 | + | 0.646878i | ||||
\(255\) | 0.680940 | − | 8.52304i | 0.0426421 | − | 0.533733i | ||||
\(256\) | 5.89913 | − | 17.0444i | 0.368695 | − | 1.06528i | ||||
\(257\) | 1.24374 | − | 1.36816i | 0.0775826 | − | 0.0853437i | −0.699929 | − | 0.714213i | \(-0.746785\pi\) |
0.777511 | + | 0.628869i | \(0.216482\pi\) | |||||||
\(258\) | −31.8253 | + | 42.5137i | −1.98136 | + | 2.64679i | ||||
\(259\) | −30.3151 | + | 3.60614i | −1.88369 | + | 0.224075i | ||||
\(260\) | 11.8035 | − | 20.0568i | 0.732023 | − | 1.24387i | ||||
\(261\) | 9.30152 | + | 26.8750i | 0.575750 | + | 1.66352i | ||||
\(262\) | 2.05829 | + | 0.881411i | 0.127162 | + | 0.0544538i | ||||
\(263\) | 17.0630 | − | 2.86928i | 1.05215 | − | 0.176927i | 0.385810 | − | 0.922578i | \(-0.373922\pi\) |
0.666337 | + | 0.745651i | \(0.267861\pi\) | |||||||
\(264\) | 77.5590 | − | 73.9523i | 4.77342 | − | 4.55145i | ||||
\(265\) | 1.37181 | + | 0.562485i | 0.0842696 | + | 0.0345532i | ||||
\(266\) | −12.6526 | − | 18.7184i | −0.775781 | − | 1.14770i | ||||
\(267\) | −16.4616 | − | 21.9901i | −1.00743 | − | 1.34577i | ||||
\(268\) | 15.7498 | − | 32.4223i | 0.962070 | − | 1.98051i | ||||
\(269\) | −1.94301 | − | 20.3482i | −0.118468 | − | 1.24065i | −0.837798 | − | 0.545981i | \(-0.816157\pi\) |
0.719330 | − | 0.694668i | \(-0.244449\pi\) | |||||||
\(270\) | −43.7497 | + | 32.1858i | −2.66252 | + | 1.95877i | ||||
\(271\) | −10.1337 | − | 4.05691i | −0.615576 | − | 0.246440i | 0.0428539 | − | 0.999081i | \(-0.486355\pi\) |
−0.658430 | + | 0.752642i | \(0.728779\pi\) | |||||||
\(272\) | 2.52364 | − | 11.6010i | 0.153018 | − | 0.703414i | ||||
\(273\) | −1.63739 | − | 17.2571i | −0.0990993 | − | 1.04445i | ||||
\(274\) | −28.3931 | + | 8.33698i | −1.71529 | + | 0.503655i | ||||
\(275\) | −16.3145 | + | 18.2064i | −0.983803 | + | 1.09789i | ||||
\(276\) | 26.9535 | + | 63.8019i | 1.62241 | + | 3.84042i | ||||
\(277\) | −6.45477 | + | 24.0895i | −0.387830 | + | 1.44740i | 0.445828 | + | 0.895119i | \(0.352909\pi\) |
−0.833657 | + | 0.552282i | \(0.813757\pi\) | |||||||
\(278\) | −26.8569 | − | 44.0615i | −1.61077 | − | 2.64263i | ||||
\(279\) | 30.9670 | − | 26.8330i | 1.85394 | − | 1.60645i | ||||
\(280\) | −15.6263 | − | 40.0655i | −0.933853 | − | 2.39437i | ||||
\(281\) | 9.70178 | − | 1.39491i | 0.578760 | − | 0.0832131i | 0.153283 | − | 0.988182i | \(-0.451015\pi\) |
0.425477 | + | 0.904969i | \(0.360106\pi\) | |||||||
\(282\) | 3.63172 | + | 1.16093i | 0.216266 | + | 0.0691326i | ||||
\(283\) | 12.9935 | + | 10.7284i | 0.772385 | + | 0.637735i | 0.937280 | − | 0.348576i | \(-0.113335\pi\) |
−0.164896 | + | 0.986311i | \(0.552729\pi\) | |||||||
\(284\) | −4.50620 | + | 23.3804i | −0.267394 | + | 1.38737i | ||||
\(285\) | 15.3806 | − | 15.8641i | 0.911068 | − | 0.939711i | ||||
\(286\) | −25.1817 | + | 11.5001i | −1.48903 | + | 0.680015i | ||||
\(287\) | −1.58904 | − | 11.0993i | −0.0937981 | − | 0.655174i | ||||
\(288\) | −52.6947 | + | 28.7735i | −3.10506 | + | 1.69549i | ||||
\(289\) | 1.46308 | − | 15.3221i | 0.0860637 | − | 0.901300i | ||||
\(290\) | −7.44609 | − | 26.1628i | −0.437250 | − | 1.53633i | ||||
\(291\) | −5.02075 | + | 26.0501i | −0.294322 | + | 1.52709i | ||||
\(292\) | −2.06170 | + | 12.2605i | −0.120652 | + | 0.717489i | ||||
\(293\) | −1.13736 | − | 5.22836i | −0.0664453 | − | 0.305444i | 0.931916 | − | 0.362675i | \(-0.118136\pi\) |
−0.998361 | + | 0.0572310i | \(0.981773\pi\) | |||||||
\(294\) | −46.2311 | − | 29.7895i | −2.69625 | − | 1.73736i | ||||
\(295\) | 5.51856 | + | 1.81486i | 0.321303 | + | 0.105665i | ||||
\(296\) | −15.8739 | − | 82.3617i | −0.922653 | − | 4.78718i | ||||
\(297\) | 45.5642 | − | 1.08463i | 2.64390 | − | 0.0629366i | ||||
\(298\) | −8.47537 | + | 31.6305i | −0.490965 | + | 1.83231i | ||||
\(299\) | −0.692639 | − | 10.3979i | −0.0400564 | − | 0.601328i | ||||
\(300\) | 60.4664 | − | 39.4731i | 3.49103 | − | 2.27898i | ||||
\(301\) | 1.28650 | − | 17.8370i | 0.0741527 | − | 1.02811i | ||||
\(302\) | 1.50644 | − | 21.0627i | 0.0866856 | − | 1.21202i | ||||
\(303\) | −36.4773 | − | 33.1601i | −2.09557 | − | 1.90500i | ||||
\(304\) | 24.1171 | − | 18.9659i | 1.38321 | − | 1.08777i | ||||
\(305\) | 9.76854 | − | 7.18652i | 0.559345 | − | 0.411499i | ||||
\(306\) | 16.3967 | − | 11.6761i | 0.937340 | − | 0.667477i | ||||
\(307\) | 1.46683 | − | 0.104910i | 0.0837166 | − | 0.00598753i | −0.0294180 | − | 0.999567i | \(-0.509365\pi\) |
0.113135 | + | 0.993580i | \(0.463911\pi\) | |||||||
\(308\) | −14.6437 | + | 60.2041i | −0.834400 | + | 3.43045i | ||||
\(309\) | 8.48720 | + | 18.5844i | 0.482820 | + | 1.05723i | ||||
\(310\) | −31.0080 | + | 23.9699i | −1.76114 | + | 1.36140i | ||||
\(311\) | 2.85452 | + | 11.7665i | 0.161865 | + | 0.667217i | 0.993688 | + | 0.112176i | \(0.0357821\pi\) |
−0.831823 | + | 0.555040i | \(0.812703\pi\) | |||||||
\(312\) | 46.9671 | − | 7.89790i | 2.65899 | − | 0.447131i | ||||
\(313\) | 3.58610 | + | 29.9930i | 0.202698 | + | 1.69530i | 0.618449 | + | 0.785825i | \(0.287761\pi\) |
−0.415751 | + | 0.909479i | \(0.636481\pi\) | |||||||
\(314\) | 12.2010 | − | 14.0807i | 0.688542 | − | 0.794620i | ||||
\(315\) | 12.8949 | − | 33.6522i | 0.726547 | − | 1.89609i | ||||
\(316\) | 30.1940 | − | 46.9828i | 1.69855 | − | 2.64299i | ||||
\(317\) | −6.51882 | − | 15.2229i | −0.366133 | − | 0.855003i | −0.996874 | − | 0.0790088i | \(-0.974824\pi\) |
0.630740 | − | 0.775994i | \(-0.282751\pi\) | |||||||
\(318\) | 1.58623 | + | 4.96217i | 0.0889515 | + | 0.278264i | ||||
\(319\) | −7.46576 | + | 21.5709i | −0.418002 | + | 1.20774i | ||||
\(320\) | 14.0511 | − | 6.68163i | 0.785483 | − | 0.373514i | ||||
\(321\) | − | 32.0547i | − | 1.78912i | ||||||
\(322\) | −27.2788 | − | 18.6818i | −1.52019 | − | 1.04110i | ||||
\(323\) | −2.93877 | + | 2.93877i | −0.163518 | + | 0.163518i | ||||
\(324\) | −45.7672 | − | 11.1030i | −2.54262 | − | 0.616833i | ||||
\(325\) | −10.5398 | + | 2.63686i | −0.584642 | + | 0.146267i | ||||
\(326\) | 17.9913 | + | 9.27517i | 0.996448 | + | 0.513704i | ||||
\(327\) | −46.1657 | + | 19.7693i | −2.55297 | + | 1.09325i | ||||
\(328\) | 30.1022 | − | 6.54834i | 1.66212 | − | 0.361572i | ||||
\(329\) | −1.24039 | + | 0.331562i | −0.0683848 | + | 0.0182796i | ||||
\(330\) | −85.8529 | − | 2.75896i | −4.72605 | − | 0.151876i | ||||
\(331\) | −13.5405 | − | 10.6484i | −0.744253 | − | 0.585287i | 0.172374 | − | 0.985032i | \(-0.444856\pi\) |
−0.916626 | + | 0.399745i | \(0.869099\pi\) | |||||||
\(332\) | −9.51566 | − | 56.5875i | −0.522240 | − | 3.10564i | ||||
\(333\) | 36.5834 | − | 60.0188i | 2.00476 | − | 3.28901i | ||||
\(334\) | −28.7961 | − | 30.2005i | −1.57565 | − | 1.65250i | ||||
\(335\) | −15.9474 | + | 5.37122i | −0.871301 | + | 0.293461i | ||||
\(336\) | 35.8320 | − | 65.5278i | 1.95480 | − | 3.57483i | ||||
\(337\) | 0.330738 | + | 4.62432i | 0.0180164 | + | 0.251903i | 0.998476 | + | 0.0551831i | \(0.0175743\pi\) |
−0.980460 | + | 0.196719i | \(0.936971\pi\) | |||||||
\(338\) | 21.2724 | + | 3.57713i | 1.15707 | + | 0.194570i | ||||
\(339\) | −1.24504 | + | 26.1367i | −0.0676214 | + | 1.41955i | ||||
\(340\) | −11.4867 | + | 7.24765i | −0.622954 | + | 0.393059i | ||||
\(341\) | 32.8510 | − | 1.56489i | 1.77898 | − | 0.0847434i | ||||
\(342\) | 51.8867 | + | 3.71101i | 2.80571 | + | 0.200668i | ||||
\(343\) | 18.5202 | + | 0.0333793i | 0.999998 | + | 0.00180231i | ||||
\(344\) | 49.1343 | 2.64914 | ||||||||
\(345\) | 12.4131 | − | 29.8571i | 0.668297 | − | 1.60745i | ||||
\(346\) | 9.45829 | + | 16.3822i | 0.508481 | + | 0.880715i | ||||
\(347\) | 0.0773506 | + | 3.24942i | 0.00415240 | + | 0.174438i | 0.997981 | + | 0.0635120i | \(0.0202301\pi\) |
−0.993829 | + | 0.110926i | \(0.964618\pi\) | |||||||
\(348\) | 37.7918 | − | 55.8373i | 2.02585 | − | 2.99319i | ||||
\(349\) | −1.66264 | − | 2.58711i | −0.0889989 | − | 0.138485i | 0.793900 | − | 0.608049i | \(-0.208048\pi\) |
−0.882899 | + | 0.469564i | \(0.844411\pi\) | |||||||
\(350\) | −14.1138 | + | 31.4484i | −0.754414 | + | 1.68099i | ||||
\(351\) | 17.0400 | + | 10.9509i | 0.909528 | + | 0.584518i | ||||
\(352\) | −47.5222 | − | 7.99125i | −2.53294 | − | 0.425935i | ||||
\(353\) | −0.0313808 | + | 0.0212391i | −0.00167023 | + | 0.00113044i | −0.561342 | − | 0.827584i | \(-0.689715\pi\) |
0.559672 | + | 0.828714i | \(0.310927\pi\) | |||||||
\(354\) | 7.58637 | + | 18.9498i | 0.403211 | + | 1.00717i | ||||
\(355\) | 9.25724 | − | 6.15374i | 0.491323 | − | 0.326606i | ||||
\(356\) | −12.2934 | + | 41.8673i | −0.651546 | + | 2.21896i | ||||
\(357\) | −3.76565 | + | 9.38978i | −0.199299 | + | 0.496960i | ||||
\(358\) | 61.4048 | + | 22.9028i | 3.24535 | + | 1.21045i | ||||
\(359\) | 7.80056 | + | 6.13443i | 0.411698 | + | 0.323763i | 0.802435 | − | 0.596740i | \(-0.203537\pi\) |
−0.390737 | + | 0.920502i | \(0.627780\pi\) | |||||||
\(360\) | 94.7681 | + | 28.6855i | 4.99472 | + | 1.51186i | ||||
\(361\) | 8.22223 | − | 0.785128i | 0.432749 | − | 0.0413225i | ||||
\(362\) | 18.6034 | − | 58.1964i | 0.977772 | − | 3.05874i | ||||
\(363\) | 31.1515 | + | 23.3197i | 1.63503 | + | 1.22397i | ||||
\(364\) | −20.3865 | + | 18.5102i | −1.06854 | + | 0.970199i | ||||
\(365\) | 4.75577 | − | 3.32725i | 0.248928 | − | 0.174156i | ||||
\(366\) | 41.4099 | + | 10.0459i | 2.16453 | + | 0.525110i | ||||
\(367\) | −28.3059 | − | 7.58455i | −1.47756 | − | 0.395910i | −0.572042 | − | 0.820224i | \(-0.693849\pi\) |
−0.905515 | + | 0.424314i | \(0.860515\pi\) | |||||||
\(368\) | 22.6387 | − | 38.7728i | 1.18012 | − | 2.02117i | ||||
\(369\) | 22.3570 | + | 12.9078i | 1.16386 | + | 0.671955i | ||||
\(370\) | −38.1459 | + | 55.3619i | −1.98311 | + | 2.87813i | ||||
\(371\) | −1.35210 | − | 1.11776i | −0.0701976 | − | 0.0580310i | ||||
\(372\) | −94.9250 | − | 20.6497i | −4.92163 | − | 1.07064i | ||||
\(373\) | −2.93826 | − | 6.86148i | −0.152137 | − | 0.355274i | 0.825865 | − | 0.563868i | \(-0.190687\pi\) |
−0.978002 | + | 0.208594i | \(0.933111\pi\) | |||||||
\(374\) | 16.1382 | + | 0.768756i | 0.834485 | + | 0.0397514i | ||||
\(375\) | −32.9324 | − | 7.20452i | −1.70062 | − | 0.372040i | ||||
\(376\) | −1.15377 | − | 3.33359i | −0.0595009 | − | 0.171917i | ||||
\(377\) | −8.12111 | + | 6.07939i | −0.418259 | + | 0.313105i | ||||
\(378\) | 60.7428 | − | 20.9824i | 3.12427 | − | 1.07922i | ||||
\(379\) | 18.9676 | + | 5.56938i | 0.974298 | + | 0.286080i | 0.729869 | − | 0.683587i | \(-0.239581\pi\) |
0.244429 | + | 0.969667i | \(0.421399\pi\) | |||||||
\(380\) | −34.8156 | − | 4.45699i | −1.78600 | − | 0.228639i | ||||
\(381\) | 13.8399 | − | 19.4354i | 0.709040 | − | 0.995708i | ||||
\(382\) | 16.5810 | − | 38.7202i | 0.848356 | − | 1.98110i | ||||
\(383\) | 2.72810 | − | 5.61604i | 0.139400 | − | 0.286966i | −0.818271 | − | 0.574833i | \(-0.805067\pi\) |
0.957671 | + | 0.287867i | \(0.0929459\pi\) | |||||||
\(384\) | −4.33678 | − | 1.98054i | −0.221310 | − | 0.101069i | ||||
\(385\) | 24.8325 | − | 14.8338i | 1.26558 | − | 0.756001i | ||||
\(386\) | 1.20699 | + | 8.39477i | 0.0614340 | + | 0.427283i | ||||
\(387\) | 30.4672 | + | 27.6965i | 1.54873 | + | 1.40789i | ||||
\(388\) | 37.9067 | − | 18.4139i | 1.92442 | − | 0.934825i | ||||
\(389\) | 5.66804 | + | 5.40446i | 0.287381 | + | 0.274017i | 0.820032 | − | 0.572318i | \(-0.193956\pi\) |
−0.532651 | + | 0.846335i | \(0.678804\pi\) | |||||||
\(390\) | −30.9107 | − | 22.4016i | −1.56522 | − | 1.13435i | ||||
\(391\) | −2.42140 | + | 5.57904i | −0.122456 | + | 0.282144i | ||||
\(392\) | 3.56905 | + | 50.7588i | 0.180264 | + | 2.56371i | ||||
\(393\) | 1.24172 | − | 2.27404i | 0.0626364 | − | 0.114710i | ||||
\(394\) | −3.99611 | − | 20.7338i | −0.201321 | − | 1.04455i | ||||
\(395\) | −25.5222 | + | 5.32989i | −1.28416 | + | 0.268176i | ||||
\(396\) | −88.1835 | − | 112.134i | −4.43139 | − | 5.63497i | ||||
\(397\) | 16.4717 | + | 5.26544i | 0.826693 | + | 0.264265i | 0.687669 | − | 0.726024i | \(-0.258634\pi\) |
0.139024 | + | 0.990289i | \(0.455604\pi\) | |||||||
\(398\) | 1.98648 | − | 0.740921i | 0.0995735 | − | 0.0371390i | ||||
\(399\) | −22.9539 | + | 12.5159i | −1.14913 | + | 0.626577i | ||||
\(400\) | −43.9740 | − | 16.0442i | −2.19870 | − | 0.802212i | ||||
\(401\) | 0.0884768 | − | 0.926571i | 0.00441832 | − | 0.0462707i | −0.992994 | − | 0.118166i | \(-0.962299\pi\) |
0.997412 | + | 0.0718950i | \(0.0229046\pi\) | |||||||
\(402\) | −50.4872 | − | 30.7735i | −2.51807 | − | 1.53484i | ||||
\(403\) | 12.4806 | + | 7.60730i | 0.621701 | + | 0.378947i | ||||
\(404\) | −7.44371 | + | 77.9541i | −0.370338 | + | 3.87836i | ||||
\(405\) | 11.2864 | + | 18.8681i | 0.560824 | + | 0.937564i | ||||
\(406\) | −0.785274 | + | 32.1760i | −0.0389725 | + | 1.59687i | ||||
\(407\) | 52.8599 | − | 19.7157i | 2.62017 | − | 0.977272i | ||||
\(408\) | −26.4757 | − | 8.46338i | −1.31074 | − | 0.419000i | ||||
\(409\) | 11.3065 | + | 14.3774i | 0.559070 | + | 0.710915i | 0.980626 | − | 0.195887i | \(-0.0627586\pi\) |
−0.421557 | + | 0.906802i | \(0.638516\pi\) | |||||||
\(410\) | −20.6608 | − | 13.5222i | −1.02036 | − | 0.667815i | ||||
\(411\) | 6.48043 | + | 33.6237i | 0.319656 | + | 1.65853i | ||||
\(412\) | 15.5537 | − | 28.4845i | 0.766275 | − | 1.40333i | ||||
\(413\) | −5.59674 | − | 3.99049i | −0.275398 | − | 0.196359i | ||||
\(414\) | 72.6212 | − | 22.8241i | 3.56914 | − | 1.12174i | ||||
\(415\) | −15.7201 | + | 21.6913i | −0.771669 | + | 1.06478i | ||||
\(416\) | −15.4998 | − | 14.7790i | −0.759940 | − | 0.724602i | ||||
\(417\) | −53.7094 | + | 26.0904i | −2.63016 | + | 1.27765i | ||||
\(418\) | 30.8949 | + | 28.0854i | 1.51112 | + | 1.37370i | ||||
\(419\) | −2.86266 | − | 19.9103i | −0.139850 | − | 0.972679i | −0.932027 | − | 0.362388i | \(-0.881961\pi\) |
0.792177 | − | 0.610291i | \(-0.208948\pi\) | |||||||
\(420\) | −82.1909 | + | 23.3386i | −4.01051 | + | 1.13881i | ||||
\(421\) | −20.4538 | − | 9.34093i | −0.996856 | − | 0.455249i | −0.150927 | − | 0.988545i | \(-0.548226\pi\) |
−0.845929 | + | 0.533296i | \(0.820953\pi\) | |||||||
\(422\) | −9.95562 | + | 20.4945i | −0.484632 | + | 0.997657i | ||||
\(423\) | 1.16368 | − | 2.71745i | 0.0565801 | − | 0.132127i | ||||
\(424\) | 2.79582 | − | 3.92618i | 0.135777 | − | 0.190672i | ||||
\(425\) | 6.17256 | + | 1.45079i | 0.299413 | + | 0.0703739i | ||||
\(426\) | 37.4757 | + | 11.0038i | 1.81570 | + | 0.533138i | ||||
\(427\) | −13.5628 | + | 4.68501i | −0.656350 | + | 0.226723i | ||||
\(428\) | −40.7629 | + | 30.5148i | −1.97035 | + | 1.47499i | ||||
\(429\) | 10.4773 | + | 30.2723i | 0.505851 | + | 1.46156i | ||||
\(430\) | −27.6153 | − | 28.0790i | −1.33173 | − | 1.35409i | ||||
\(431\) | −2.69479 | − | 0.128369i | −0.129803 | − | 0.00618330i | −0.0174204 | − | 0.999848i | \(-0.505545\pi\) |
−0.112383 | + | 0.993665i | \(0.535848\pi\) | |||||||
\(432\) | 34.3536 | + | 80.2233i | 1.65284 | + | 3.85974i | ||||
\(433\) | 14.7449 | + | 3.20757i | 0.708597 | + | 0.154146i | 0.552399 | − | 0.833580i | \(-0.313713\pi\) |
0.156198 | + | 0.987726i | \(0.450076\pi\) | |||||||
\(434\) | 43.4590 | − | 16.1797i | 2.08610 | − | 0.776648i | ||||
\(435\) | −30.9566 | + | 5.69953i | −1.48425 | + | 0.273271i | ||||
\(436\) | 69.0878 | + | 39.8879i | 3.30871 | + | 1.91028i | ||||
\(437\) | −14.0050 | + | 7.13368i | −0.669948 | + | 0.341250i | ||||
\(438\) | 19.6989 | + | 5.27829i | 0.941248 | + | 0.252207i | ||||
\(439\) | −15.4198 | − | 3.74079i | −0.735945 | − | 0.178538i | −0.149768 | − | 0.988721i | \(-0.547853\pi\) |
−0.586177 | + | 0.810183i | \(0.699368\pi\) | |||||||
\(440\) | 45.5582 | + | 65.1182i | 2.17190 | + | 3.10439i | ||||
\(441\) | −26.3991 | + | 33.4864i | −1.25710 | + | 1.59459i | ||||
\(442\) | 5.74812 | + | 4.30299i | 0.273410 | + | 0.204672i | ||||
\(443\) | −0.0909238 | + | 0.284434i | −0.00431992 | + | 0.0135139i | −0.954653 | − | 0.297722i | \(-0.903773\pi\) |
0.950333 | + | 0.311236i | \(0.100743\pi\) | |||||||
\(444\) | −165.889 | + | 15.8405i | −7.87276 | + | 0.751757i | ||||
\(445\) | 17.9597 | − | 9.61353i | 0.851372 | − | 0.455725i | ||||
\(446\) | −24.5899 | − | 19.3377i | −1.16437 | − | 0.915667i | ||||
\(447\) | 35.5036 | + | 13.2422i | 1.67926 | + | 0.626333i | ||||
\(448\) | −18.2237 | + | 2.60900i | −0.860989 | + | 0.123264i | ||||
\(449\) | −5.58804 | + | 19.0311i | −0.263716 | + | 0.898134i | 0.716060 | + | 0.698038i | \(0.245944\pi\) |
−0.979776 | + | 0.200096i | \(0.935875\pi\) | |||||||
\(450\) | −36.8702 | − | 70.2799i | −1.73808 | − | 3.31302i | ||||
\(451\) | 7.70108 | + | 19.2364i | 0.362630 | + | 0.905806i | ||||
\(452\) | 34.4224 | − | 23.2977i | 1.61909 | − | 1.09583i | ||||
\(453\) | −24.0969 | − | 4.05209i | −1.13217 | − | 0.190384i | ||||
\(454\) | −28.9663 | − | 18.6155i | −1.35946 | − | 0.873670i | ||||
\(455\) | 12.8347 | + | 0.726260i | 0.601699 | + | 0.0340476i | ||||
\(456\) | −38.8349 | − | 60.4283i | −1.81861 | − | 2.82981i | ||||
\(457\) | −12.9717 | + | 19.1657i | −0.606790 | + | 0.896532i | −0.999735 | − | 0.0230301i | \(-0.992669\pi\) |
0.392944 | + | 0.919562i | \(0.371457\pi\) | |||||||
\(458\) | −0.402833 | − | 16.9226i | −0.0188232 | − | 0.790741i | ||||
\(459\) | −5.91071 | − | 10.2376i | −0.275888 | − | 0.477852i | ||||
\(460\) | −49.7850 | + | 12.6374i | −2.32124 | + | 0.589223i | ||||
\(461\) | 8.61844 | 0.401401 | 0.200700 | − | 0.979653i | \(-0.435678\pi\) | ||||
0.200700 | + | 0.979653i | \(0.435678\pi\) | |||||||
\(462\) | 96.0251 | + | 33.2992i | 4.46749 | + | 1.54922i | ||||
\(463\) | −19.7710 | − | 1.41405i | −0.918838 | − | 0.0657166i | −0.396098 | − | 0.918208i | \(-0.629636\pi\) |
−0.522741 | + | 0.852492i | \(0.675090\pi\) | |||||||
\(464\) | −43.6575 | + | 2.07966i | −2.02675 | + | 0.0965459i | ||||
\(465\) | 24.2007 | + | 38.3553i | 1.12228 | + | 1.77869i | ||||
\(466\) | 3.22169 | − | 67.6315i | 0.149242 | − | 3.13297i | ||||
\(467\) | 15.4047 | + | 2.59042i | 0.712843 | + | 0.119870i | 0.511042 | − | 0.859556i | \(-0.329260\pi\) |
0.201802 | + | 0.979426i | \(0.435320\pi\) | |||||||
\(468\) | −4.52284 | − | 63.2375i | −0.209068 | − | 2.92316i | ||||
\(469\) | 19.9054 | − | 0.461872i | 0.919146 | − | 0.0213272i | ||||
\(470\) | −1.25660 | + | 2.53295i | −0.0579626 | + | 0.116836i | ||||
\(471\) | −14.8778 | − | 15.6034i | −0.685533 | − | 0.718967i | ||||
\(472\) | 9.82922 | − | 16.1258i | 0.452426 | − | 0.742252i | ||||
\(473\) | 5.48040 | + | 32.5907i | 0.251989 | + | 1.49852i | ||||
\(474\) | −72.0112 | − | 56.6302i | −3.30758 | − | 2.60111i | ||||
\(475\) | 9.91346 | + | 13.0473i | 0.454861 | + | 0.598652i | ||||
\(476\) | 15.5254 | − | 4.15003i | 0.711607 | − | 0.190216i | ||||
\(477\) | 3.94678 | − | 0.858569i | 0.180710 | − | 0.0393112i | ||||
\(478\) | 44.6831 | − | 19.1344i | 2.04376 | − | 0.875187i | ||||
\(479\) | 0.851041 | + | 0.438742i | 0.0388850 | + | 0.0200466i | 0.477559 | − | 0.878599i | \(-0.341522\pi\) |
−0.438674 | + | 0.898646i | \(0.644552\pi\) | |||||||
\(480\) | −22.7034 | − | 62.4531i | −1.03626 | − | 2.85058i | ||||
\(481\) | 24.3662 | + | 5.91118i | 1.11100 | + | 0.269526i | ||||
\(482\) | 16.4514 | − | 16.4514i | 0.749341 | − | 0.749341i | ||||
\(483\) | −24.5205 | + | 29.3681i | −1.11572 | + | 1.33630i | ||||
\(484\) | − | 61.8137i | − | 2.80971i | ||||||
\(485\) | −18.5379 | − | 6.58933i | −0.841761 | − | 0.299206i | ||||
\(486\) | −1.43332 | + | 4.14130i | −0.0650167 | + | 0.187853i | ||||
\(487\) | −11.1480 | − | 34.8739i | −0.505163 | − | 1.58029i | −0.784522 | − | 0.620100i | \(-0.787092\pi\) |
0.279360 | − | 0.960187i | \(-0.409878\pi\) | |||||||
\(488\) | −15.5193 | − | 36.2411i | −0.702527 | − | 1.64056i | ||||
\(489\) | 12.6632 | − | 19.7044i | 0.572651 | − | 0.891062i | ||||
\(490\) | 27.0014 | − | 30.5680i | 1.21980 | − | 1.38092i | ||||
\(491\) | 14.9886 | − | 17.2978i | 0.676427 | − | 0.780638i | −0.308940 | − | 0.951081i | \(-0.599974\pi\) |
0.985368 | + | 0.170443i | \(0.0545198\pi\) | |||||||
\(492\) | −7.26613 | − | 60.7716i | −0.327582 | − | 2.73979i | ||||
\(493\) | 5.83853 | − | 0.981797i | 0.262954 | − | 0.0442179i | ||||
\(494\) | 4.37470 | + | 18.0328i | 0.196827 | + | 0.811332i | ||||
\(495\) | −8.45671 | + | 66.0592i | −0.380101 | + | 2.96914i | ||||
\(496\) | 26.1600 | + | 57.2825i | 1.17462 | + | 2.57206i | ||||
\(497\) | −12.6221 | + | 3.69793i | −0.566176 | + | 0.165875i | ||||
\(498\) | −93.8866 | + | 6.71490i | −4.20716 | + | 0.300902i | ||||
\(499\) | −3.61152 | + | 2.57175i | −0.161674 | + | 0.115127i | −0.658030 | − | 0.752991i | \(-0.728610\pi\) |
0.496357 | + | 0.868119i | \(0.334671\pi\) | |||||||
\(500\) | 22.1885 | + | 48.7374i | 0.992299 | + | 2.17960i | ||||
\(501\) | −37.9560 | + | 29.8489i | −1.69575 | + | 1.33355i | ||||
\(502\) | −29.4625 | − | 26.7832i | −1.31498 | − | 1.19539i | ||||
\(503\) | −2.16239 | + | 30.2341i | −0.0964161 | + | 1.34807i | 0.687037 | + | 0.726623i | \(0.258911\pi\) |
−0.783453 | + | 0.621451i | \(0.786543\pi\) | |||||||
\(504\) | −96.9827 | − | 65.7248i | −4.31995 | − | 2.92762i | ||||
\(505\) | 28.3836 | − | 23.0408i | 1.26305 | − | 1.02530i | ||||
\(506\) | 57.1423 | + | 21.6315i | 2.54028 | + | 0.961639i | ||||
\(507\) | 6.46043 | − | 24.1107i | 0.286918 | − | 1.07079i | ||||
\(508\) | −37.8904 | + | 0.901961i | −1.68112 | + | 0.0400180i | ||||
\(509\) | 6.05983 | + | 31.4414i | 0.268597 | + | 1.39361i | 0.826140 | + | 0.563466i | \(0.190532\pi\) |
−0.557542 | + | 0.830148i | \(0.688256\pi\) | |||||||
\(510\) | 10.0438 | + | 19.8869i | 0.444745 | + | 0.880608i | ||||
\(511\) | −6.54270 | + | 2.08714i | −0.289432 | + | 0.0923298i | ||||
\(512\) | 9.31784 | + | 42.8334i | 0.411794 | + | 1.89299i | ||||
\(513\) | 5.06606 | − | 30.1267i | 0.223672 | − | 1.33013i | ||||
\(514\) | −0.911800 | + | 4.73087i | −0.0402178 | + | 0.208670i | ||||
\(515\) | −14.5725 | + | 4.14743i | −0.642143 | + | 0.182757i | ||||
\(516\) | 9.27915 | − | 97.1757i | 0.408492 | − | 4.27792i | ||||
\(517\) | 2.08247 | − | 1.13712i | 0.0915871 | − | 0.0500103i | ||||
\(518\) | 62.5594 | − | 49.1364i | 2.74870 | − | 2.15893i | ||||
\(519\) | 19.9114 | − | 9.09324i | 0.874014 | − | 0.399149i | ||||
\(520\) | 0.546550 | + | 35.3153i | 0.0239678 | + | 1.54868i | ||||
\(521\) | 5.06487 | − | 26.2790i | 0.221896 | − | 1.15131i | −0.684544 | − | 0.728971i | \(-0.739999\pi\) |
0.906440 | − | 0.422334i | \(-0.138789\pi\) | |||||||
\(522\) | −57.1430 | − | 47.1813i | −2.50108 | − | 2.06507i | ||||
\(523\) | 8.53826 | + | 2.72939i | 0.373352 | + | 0.119348i | 0.485258 | − | 0.874371i | \(-0.338726\pi\) |
−0.111906 | + | 0.993719i | \(0.535695\pi\) | |||||||
\(524\) | −4.07388 | + | 0.585736i | −0.177968 | + | 0.0255880i | ||||
\(525\) | 34.6736 | + | 19.7172i | 1.51328 | + | 0.860527i | ||||
\(526\) | −34.0732 | + | 29.5246i | −1.48566 | + | 1.28733i | ||||
\(527\) | −4.43974 | − | 7.28385i | −0.193398 | − | 0.317290i | ||||
\(528\) | −35.7214 | + | 133.314i | −1.55457 | + | 5.80175i | ||||
\(529\) | −15.2309 | + | 17.2343i | −0.662213 | + | 0.749316i | ||||
\(530\) | −3.81506 | + | 0.608921i | −0.165716 | + | 0.0264499i | ||||
\(531\) | 15.1849 | − | 4.45868i | 0.658967 | − | 0.193490i | ||||
\(532\) | 37.7672 | + | 17.2751i | 1.63741 | + | 0.748971i | ||||
\(533\) | −1.95745 | + | 8.99827i | −0.0847867 | + | 0.389758i | ||||
\(534\) | 66.4491 | + | 26.6022i | 2.87553 | + | 1.15119i | ||||
\(535\) | 23.5006 | + | 3.57881i | 1.01602 | + | 0.154725i | ||||
\(536\) | 5.20000 | + | 54.4568i | 0.224606 | + | 2.35218i | ||||
\(537\) | 33.1365 | − | 68.2143i | 1.42994 | − | 2.94367i | ||||
\(538\) | 31.9190 | + | 42.6388i | 1.37613 | + | 1.83829i | ||||
\(539\) | −33.2702 | + | 8.02895i | −1.43305 | + | 0.345831i | ||||
\(540\) | 37.8760 | − | 92.3735i | 1.62992 | − | 3.97512i | ||||
\(541\) | −14.9398 | + | 14.2451i | −0.642312 | + | 0.612443i | −0.939571 | − | 0.342354i | \(-0.888776\pi\) |
0.297259 | + | 0.954797i | \(0.403927\pi\) | |||||||
\(542\) | 28.0490 | − | 4.71667i | 1.20481 | − | 0.202598i | ||||
\(543\) | −64.9914 | − | 27.8309i | −2.78905 | − | 1.19434i | ||||
\(544\) | 4.08801 | + | 11.8115i | 0.175272 | + | 0.506415i | ||||
\(545\) | −9.33943 | − | 36.0532i | −0.400057 | − | 1.54435i | ||||
\(546\) | 27.0469 | + | 36.1758i | 1.15750 | + | 1.54818i | ||||
\(547\) | −12.2036 | + | 16.3021i | −0.521788 | + | 0.697027i | −0.981591 | − | 0.190994i | \(-0.938829\pi\) |
0.459803 | + | 0.888021i | \(0.347920\pi\) | |||||||
\(548\) | 36.5890 | − | 40.2493i | 1.56301 | − | 1.71937i | ||||
\(549\) | 10.8055 | − | 31.2204i | 0.461167 | − | 1.33246i | ||||
\(550\) | 11.6079 | − | 62.6342i | 0.494963 | − | 2.67073i | ||||
\(551\) | 13.2503 | + | 7.65009i | 0.564484 | + | 0.325905i | ||||
\(552\) | −85.3259 | − | 61.3907i | −3.63171 | − | 2.61296i | ||||
\(553\) | 30.7083 | + | 2.95091i | 1.30585 | + | 0.125485i | ||||
\(554\) | −18.3083 | − | 62.3523i | −0.777844 | − | 2.64909i | ||||
\(555\) | 59.5767 | + | 50.0306i | 2.52889 | + | 2.12368i | ||||
\(556\) | 84.3075 | + | 43.4635i | 3.57544 | + | 1.84326i | ||||
\(557\) | −2.52477 | + | 21.1163i | −0.106978 | + | 0.894728i | 0.832948 | + | 0.553351i | \(0.186651\pi\) |
−0.939926 | + | 0.341377i | \(0.889107\pi\) | |||||||
\(558\) | −32.5098 | + | 101.700i | −1.37625 | + | 4.30529i | ||||
\(559\) | −6.10137 | + | 13.3601i | −0.258060 | + | 0.565073i | ||||
\(560\) | 44.0406 | + | 33.5859i | 1.86105 | + | 1.41926i | ||||
\(561\) | 2.66067 | − | 18.5053i | 0.112333 | − | 0.781296i | ||||
\(562\) | −19.6944 | + | 16.2610i | −0.830756 | + | 0.685930i | ||||
\(563\) | −21.0387 | + | 34.5161i | −0.886675 | + | 1.45468i | 0.00397471 | + | 0.999992i | \(0.498735\pi\) |
−0.890650 | + | 0.454690i | \(0.849750\pi\) | |||||||
\(564\) | −6.81091 | + | 1.65231i | −0.286791 | + | 0.0695748i | ||||
\(565\) | −19.0228 | − | 3.83087i | −0.800297 | − | 0.161166i | ||||
\(566\) | −43.4598 | − | 6.24857i | −1.82675 | − | 0.262647i | ||||
\(567\) | −6.11791 | − | 25.2847i | −0.256928 | − | 1.06186i | ||||
\(568\) | −12.6284 | − | 33.8582i | −0.529878 | − | 1.42066i | ||||
\(569\) | 12.7534 | − | 6.57484i | 0.534651 | − | 0.275632i | −0.169685 | − | 0.985498i | \(-0.554275\pi\) |
0.704336 | + | 0.709867i | \(0.251245\pi\) | |||||||
\(570\) | −12.7065 | + | 56.1561i | −0.532218 | + | 2.35212i | ||||
\(571\) | −8.45290 | + | 16.3963i | −0.353743 | + | 0.686166i | −0.996824 | − | 0.0796323i | \(-0.974625\pi\) |
0.643081 | + | 0.765798i | \(0.277656\pi\) | |||||||
\(572\) | 28.5223 | − | 42.1417i | 1.19258 | − | 1.76203i | ||||
\(573\) | −42.7788 | − | 23.3590i | −1.78711 | − | 0.975836i | ||||
\(574\) | 18.5883 | + | 22.5406i | 0.775863 | + | 0.940827i | ||||
\(575\) | 20.5036 | + | 12.4340i | 0.855058 | + | 0.518532i | ||||
\(576\) | 21.1930 | − | 36.7074i | 0.883042 | − | 1.52947i | ||||
\(577\) | 0.322112 | + | 13.5316i | 0.0134097 | + | 0.563328i | 0.965923 | + | 0.258830i | \(0.0833370\pi\) |
−0.952513 | + | 0.304498i | \(0.901511\pi\) | |||||||
\(578\) | 17.5243 | + | 36.0753i | 0.728915 | + | 1.50054i | ||||
\(579\) | 9.80288 | − | 0.466968i | 0.407394 | − | 0.0194065i | ||||
\(580\) | 36.7173 | + | 33.9407i | 1.52460 | + | 1.40931i | ||||
\(581\) | 25.3860 | − | 18.9799i | 1.05319 | − | 0.787421i | ||||
\(582\) | −24.1579 | − | 64.7697i | −1.00138 | − | 2.68479i | ||||
\(583\) | 2.91607 | + | 1.41654i | 0.120771 | + | 0.0586671i | ||||
\(584\) | −7.01271 | − | 17.5169i | −0.290188 | − | 0.724854i | ||||
\(585\) | −19.5679 | + | 22.2064i | −0.809035 | + | 0.918120i | ||||
\(586\) | 9.62122 | + | 10.0904i | 0.397449 | + | 0.416832i | ||||
\(587\) | −12.0133 | − | 22.0006i | −0.495840 | − | 0.908063i | −0.999036 | − | 0.0438912i | \(-0.986024\pi\) |
0.503196 | − | 0.864172i | \(-0.332157\pi\) | |||||||
\(588\) | 101.063 | + | 2.52724i | 4.16775 | + | 0.104222i | ||||
\(589\) | 3.13727 | − | 21.8202i | 0.129269 | − | 0.899085i | ||||
\(590\) | −14.7399 | + | 3.44619i | −0.606832 | + | 0.141877i | ||||
\(591\) | −24.3233 | + | 2.32259i | −1.00053 | + | 0.0955386i | ||||
\(592\) | 72.6642 | + | 79.9334i | 2.98648 | + | 3.28524i | ||||
\(593\) | −1.05912 | + | 0.453540i | −0.0434927 | + | 0.0186247i | −0.415286 | − | 0.909691i | \(-0.636319\pi\) |
0.371794 | + | 0.928315i | \(0.378743\pi\) | |||||||
\(594\) | −99.9078 | + | 64.2068i | −4.09927 | + | 2.63444i | ||||
\(595\) | −6.46361 | − | 3.80909i | −0.264982 | − | 0.156157i | ||||
\(596\) | −16.9583 | − | 57.7548i | −0.694641 | − | 2.36573i | ||||
\(597\) | −0.634978 | − | 2.36977i | −0.0259879 | − | 0.0969883i | ||||
\(598\) | 15.6426 | + | 22.1957i | 0.639675 | + | 0.907650i | ||||
\(599\) | −26.7689 | + | 15.4551i | −1.09375 | + | 0.631476i | −0.934572 | − | 0.355774i | \(-0.884217\pi\) |
−0.159177 | + | 0.987250i | \(0.550884\pi\) | |||||||
\(600\) | −47.1790 | + | 98.9155i | −1.92608 | + | 4.03821i | ||||
\(601\) | 8.08363 | + | 9.32901i | 0.329738 | + | 0.380538i | 0.896275 | − | 0.443498i | \(-0.146263\pi\) |
−0.566537 | + | 0.824036i | \(0.691717\pi\) | |||||||
\(602\) | 21.3279 | + | 41.4315i | 0.869261 | + | 1.68862i | ||||
\(603\) | −27.4723 | + | 36.6988i | −1.11876 | + | 1.49449i | ||||
\(604\) | 17.7863 | + | 34.5007i | 0.723715 | + | 1.40381i | ||||
\(605\) | −20.5746 | + | 20.2348i | −0.836475 | + | 0.822663i | ||||
\(606\) | 126.132 | + | 24.3100i | 5.12376 | + | 0.987524i | ||||
\(607\) | −0.315269 | − | 2.63681i | −0.0127964 | − | 0.107025i | 0.985087 | − | 0.172059i | \(-0.0550419\pi\) |
−0.997883 | + | 0.0650341i | \(0.979284\pi\) | |||||||
\(608\) | −11.2879 | + | 30.2641i | −0.457786 | + | 1.22737i | ||||
\(609\) | 36.9779 | + | 4.44378i | 1.49842 | + | 0.180071i | ||||
\(610\) | −11.9884 | + | 29.2377i | −0.485395 | + | 1.18380i | ||||
\(611\) | 1.04971 | + | 0.100235i | 0.0424667 | + | 0.00405507i | ||||
\(612\) | −14.5653 | + | 34.0133i | −0.588768 | + | 1.37490i | ||||
\(613\) | 1.09432 | + | 1.61686i | 0.0441993 | + | 0.0653044i | 0.849605 | − | 0.527420i | \(-0.176840\pi\) |
−0.805406 | + | 0.592724i | \(0.798053\pi\) | |||||||
\(614\) | −3.12137 | + | 2.22272i | −0.125968 | + | 0.0897017i | ||||
\(615\) | −17.8491 | + | 22.3122i | −0.719746 | + | 0.899715i | ||||
\(616\) | −28.5781 | − | 89.5857i | −1.15145 | − | 3.60951i | ||||
\(617\) | 2.11857 | − | 9.73892i | 0.0852905 | − | 0.392074i | −0.914635 | − | 0.404281i | \(-0.867522\pi\) |
0.999925 | + | 0.0122065i | \(0.00388554\pi\) | |||||||
\(618\) | −44.0876 | − | 29.8394i | −1.77346 | − | 1.20031i | ||||
\(619\) | 7.76155 | + | 7.40062i | 0.311963 | + | 0.297456i | 0.829843 | − | 0.557997i | \(-0.188430\pi\) |
−0.517880 | + | 0.855453i | \(0.673279\pi\) | |||||||
\(620\) | 25.7372 | − | 67.2879i | 1.03363 | − | 2.70235i | ||||
\(621\) | −9.28934 | − | 43.7298i | −0.372769 | − | 1.75482i | ||||
\(622\) | −22.3088 | − | 22.3088i | −0.894500 | − | 0.894500i | ||||
\(623\) | −23.6703 | + | 4.54732i | −0.948329 | + | 0.182185i | ||||
\(624\) | −46.3560 | + | 40.1677i | −1.85573 | + | 1.60800i | ||||
\(625\) | 8.95872 | − | 23.3397i | 0.358349 | − | 0.933588i | ||||
\(626\) | −48.6550 | − | 61.8699i | −1.94465 | − | 2.47282i | ||||
\(627\) | 35.7504 | − | 32.4993i | 1.42773 | − | 1.29790i | ||||
\(628\) | −5.67928 | + | 33.7734i | −0.226628 | + | 1.34771i | ||||
\(629\) | −11.0589 | − | 9.58256i | −0.440946 | − | 0.382082i | ||||
\(630\) | 16.9479 | + | 92.3629i | 0.675221 | + | 3.67983i | ||||
\(631\) | 11.5650 | − | 5.28158i | 0.460397 | − | 0.210256i | −0.171694 | − | 0.985150i | \(-0.554924\pi\) |
0.632091 | + | 0.774894i | \(0.282197\pi\) | |||||||
\(632\) | −2.01708 | + | 84.7353i | −0.0802350 | + | 3.37059i | ||||
\(633\) | 22.5130 | + | 13.7224i | 0.894811 | + | 0.545416i | ||||
\(634\) | 35.1492 | + | 25.0297i | 1.39595 | + | 0.994054i | ||||
\(635\) | 12.7037 | + | 12.3165i | 0.504132 | + | 0.488766i | ||||
\(636\) | −7.23703 | − | 6.27092i | −0.286967 | − | 0.248658i | ||||
\(637\) | −14.2451 | − | 5.33264i | −0.564410 | − | 0.211287i | ||||
\(638\) | −12.6431 | − | 58.1195i | −0.500546 | − | 2.30097i | ||||
\(639\) | 11.2549 | − | 28.1133i | 0.445235 | − | 1.11214i | ||||
\(640\) | 1.93620 | − | 2.95835i | 0.0765352 | − | 0.116939i | ||||
\(641\) | 7.09705 | + | 2.45631i | 0.280317 | + | 0.0970185i | 0.463609 | − | 0.886040i | \(-0.346554\pi\) |
−0.183292 | + | 0.983058i | \(0.558675\pi\) | |||||||
\(642\) | 43.4722 | + | 71.3206i | 1.71571 | + | 2.81480i | ||||
\(643\) | 7.41249 | + | 7.41249i | 0.292320 | + | 0.292320i | 0.837996 | − | 0.545676i | \(-0.183727\pi\) |
−0.545676 | + | 0.837996i | \(0.683727\pi\) | |||||||
\(644\) | 60.6890 | + | 3.22474i | 2.39148 | + | 0.127073i | ||||
\(645\) | −35.3823 | + | 28.7221i | −1.39318 | + | 1.13093i | ||||
\(646\) | 2.55314 | − | 10.5242i | 0.100452 | − | 0.414069i | ||||
\(647\) | 36.1071 | − | 17.5397i | 1.41952 | − | 0.689558i | 0.441340 | − | 0.897340i | \(-0.354503\pi\) |
0.978175 | + | 0.207782i | \(0.0666245\pi\) | |||||||
\(648\) | 68.0801 | − | 21.7628i | 2.67444 | − | 0.854925i | ||||
\(649\) | 11.7926 | + | 4.72105i | 0.462900 | + | 0.185317i | ||||
\(650\) | 19.8746 | − | 20.1608i | 0.779545 | − | 0.790773i | ||||
\(651\) | −13.8574 | − | 51.8411i | −0.543114 | − | 2.03181i | ||||
\(652\) | −37.1123 | + | 2.65432i | −1.45343 | + | 0.103951i | ||||
\(653\) | 36.8341 | − | 4.40406i | 1.44143 | − | 0.172344i | 0.639053 | − | 0.769162i | \(-0.279326\pi\) |
0.802376 | + | 0.596818i | \(0.203569\pi\) | |||||||
\(654\) | 75.9062 | − | 106.595i | 2.96817 | − | 4.16821i | ||||
\(655\) | 1.52855 | + | 1.16424i | 0.0597256 | + | 0.0454907i | ||||
\(656\) | −28.7142 | + | 27.3790i | −1.12110 | + | 1.06897i | ||||
\(657\) | 5.52566 | − | 14.8149i | 0.215576 | − | 0.577983i | ||||
\(658\) | 2.31016 | − | 2.41991i | 0.0900593 | − | 0.0943380i | ||||
\(659\) | 24.4000 | − | 28.1591i | 0.950489 | − | 1.09692i | −0.0447046 | − | 0.999000i | \(-0.514235\pi\) |
0.995194 | − | 0.0979230i | \(-0.0312199\pi\) | |||||||
\(660\) | 137.392 | − | 77.8054i | 5.34797 | − | 3.02857i | ||||
\(661\) | 33.4049 | + | 1.59127i | 1.29930 | + | 0.0618933i | 0.685793 | − | 0.727796i | \(-0.259455\pi\) |
0.613507 | + | 0.789689i | \(0.289758\pi\) | |||||||
\(662\) | 44.5683 | + | 5.32879i | 1.73220 | + | 0.207109i | ||||
\(663\) | 5.58897 | − | 6.14807i | 0.217058 | − | 0.238771i | ||||
\(664\) | 57.0296 | + | 65.8156i | 2.21318 | + | 2.55414i | ||||
\(665\) | −6.61316 | − | 18.2258i | −0.256448 | − | 0.706765i | ||||
\(666\) | 183.154i | 7.09706i | ||||||||
\(667\) | 22.1461 | + | 3.29463i | 0.857501 | + | 0.127569i | ||||
\(668\) | 74.0905 | + | 19.8525i | 2.86665 | + | 0.768116i | ||||
\(669\) | −24.9803 | + | 26.1986i | −0.965794 | + | 1.01290i | ||||
\(670\) | 28.1981 | − | 33.5784i | 1.08939 | − | 1.29725i | ||||
\(671\) | 22.3076 | − | 14.3362i | 0.861177 | − | 0.553445i | ||||
\(672\) | 3.69403 | + | 78.5400i | 0.142500 | + | 3.02975i | ||||
\(673\) | 28.0932 | − | 6.11131i | 1.08292 | − | 0.235574i | 0.364511 | − | 0.931199i | \(-0.381236\pi\) |
0.718405 | + | 0.695626i | \(0.244873\pi\) | |||||||
\(674\) | −7.00732 | − | 9.84040i | −0.269912 | − | 0.379038i | ||||
\(675\) | −43.1451 | + | 17.6317i | −1.66066 | + | 0.678644i | ||||
\(676\) | −36.8108 | + | 14.7368i | −1.41580 | + | 0.566801i | ||||
\(677\) | 8.14781 | − | 6.72740i | 0.313146 | − | 0.258555i | −0.466855 | − | 0.884334i | \(-0.654613\pi\) |
0.780000 | + | 0.625779i | \(0.215219\pi\) | |||||||
\(678\) | −32.6760 | − | 59.8416i | −1.25491 | − | 2.29820i | ||||
\(679\) | 18.6272 | + | 13.9616i | 0.714847 | + | 0.535798i | ||||
\(680\) | 9.16078 | − | 18.4655i | 0.351300 | − | 0.708121i | ||||
\(681\) | −24.6298 | + | 31.3193i | −0.943815 | + | 1.20016i | ||||
\(682\) | −70.9701 | + | 48.0339i | −2.71759 | + | 1.83931i | ||||
\(683\) | 11.6817 | − | 14.1482i | 0.446990 | − | 0.541366i | −0.498555 | − | 0.866858i | \(-0.666136\pi\) |
0.945545 | + | 0.325492i | \(0.105530\pi\) | |||||||
\(684\) | −84.9902 | + | 43.8155i | −3.24968 | + | 1.67533i | ||||
\(685\) | −25.3744 | + | 0.997093i | −0.969506 | + | 0.0380970i | ||||
\(686\) | −41.2521 | + | 25.0426i | −1.57501 | + | 0.956132i | ||||
\(687\) | −19.5378 | − | 1.39737i | −0.745414 | − | 0.0533131i | ||||
\(688\) | −54.0333 | + | 32.9350i | −2.06000 | + | 1.25564i | ||||
\(689\) | 0.720391 | + | 1.24775i | 0.0274447 | + | 0.0475357i | ||||
\(690\) | 12.8732 | + | 83.2654i | 0.490074 | + | 3.16986i | ||||
\(691\) | 10.6621 | − | 18.4674i | 0.405607 | − | 0.702532i | −0.588785 | − | 0.808290i | \(-0.700393\pi\) |
0.994392 | + | 0.105758i | \(0.0337268\pi\) | |||||||
\(692\) | −30.5184 | − | 16.6643i | −1.16014 | − | 0.633482i | ||||
\(693\) | 32.7778 | − | 71.6594i | 1.24513 | − | 2.72212i | ||||
\(694\) | −4.57892 | − | 7.12494i | −0.173813 | − | 0.270459i | ||||
\(695\) | −13.1315 | − | 42.2895i | −0.498105 | − | 1.60413i | ||||
\(696\) | −4.86892 | + | 102.211i | −0.184556 | + | 3.87431i | ||||
\(697\) | 3.42180 | − | 4.14427i | 0.129610 | − | 0.156975i | ||||
\(698\) | 7.20792 | + | 3.50139i | 0.272824 | + | 0.132530i | ||||
\(699\) | −77.5518 | − | 11.1503i | −2.93328 | − | 0.421742i | ||||
\(700\) | −7.93415 | − | 62.8632i | −0.299883 | − | 2.37601i | ||||
\(701\) | −9.10610 | + | 31.0125i | −0.343933 | + | 1.17133i | 0.588050 | + | 0.808825i | \(0.299896\pi\) |
−0.931983 | + | 0.362503i | \(0.881922\pi\) | |||||||
\(702\) | −52.7649 | − | 1.25604i | −1.99148 | − | 0.0474061i | ||||
\(703\) | −6.27095 | − | 37.2920i | −0.236513 | − | 1.40649i | ||||
\(704\) | 31.5837 | − | 12.6442i | 1.19035 | − | 0.476546i | ||||
\(705\) | 2.77954 | + | 1.72611i | 0.104683 | + | 0.0650092i | ||||
\(706\) | 0.0410169 | − | 0.0898145i | 0.00154369 | − | 0.00338021i | ||||
\(707\) | −40.1674 | + | 16.0526i | −1.51065 | + | 0.603721i | ||||
\(708\) | −30.0367 | − | 22.4852i | −1.12885 | − | 0.845046i | ||||
\(709\) | −1.56942 | − | 32.9462i | −0.0589408 | − | 1.23732i | −0.813687 | − | 0.581303i | \(-0.802543\pi\) |
0.754747 | − | 0.656017i | \(-0.227760\pi\) | |||||||
\(710\) | −12.2514 | + | 26.2464i | −0.459787 | + | 0.985009i | ||||
\(711\) | −49.0152 | + | 51.4057i | −1.83821 | + | 1.92786i | ||||
\(712\) | −17.1398 | − | 63.9665i | −0.642340 | − | 2.39725i | ||||
\(713\) | −7.45220 | − | 31.3868i | −0.279087 | − | 1.17545i | ||||
\(714\) | −4.35586 | − | 25.9989i | −0.163014 | − | 0.972983i | ||||
\(715\) | −23.3636 | + | 4.30156i | −0.873750 | + | 0.160869i | ||||
\(716\) | −118.290 | + | 22.7986i | −4.42072 | + | 0.852024i | ||||
\(717\) | −17.1264 | − | 53.5760i | −0.639597 | − | 2.00083i | ||||
\(718\) | −25.6754 | − | 3.06987i | −0.958198 | − | 0.114567i | ||||
\(719\) | 16.0492 | + | 31.1311i | 0.598534 | + | 1.16099i | 0.972358 | + | 0.233495i | \(0.0750162\pi\) |
−0.373824 | + | 0.927500i | \(0.621953\pi\) | |||||||
\(720\) | −123.445 | + | 31.9780i | −4.60053 | + | 1.19175i | ||||
\(721\) | 17.9218 | + | 0.437393i | 0.667444 | + | 0.0162894i | ||||
\(722\) | −17.2294 | + | 12.8978i | −0.641212 | + | 0.480005i | ||||
\(723\) | −17.1411 | − | 20.7603i | −0.637486 | − | 0.772084i | ||||
\(724\) | 26.4774 | + | 109.141i | 0.984025 | + | 4.05621i | ||||
\(725\) | −0.722354 | − | 23.3318i | −0.0268276 | − | 0.866523i | ||||
\(726\) | −100.937 | − | 9.63829i | −3.74611 | − | 0.357710i | ||||
\(727\) | 0.702739 | + | 0.938749i | 0.0260631 | + | 0.0348163i | 0.813384 | − | 0.581728i | \(-0.197623\pi\) |
−0.787320 | + | 0.616544i | \(0.788532\pi\) | |||||||
\(728\) | 11.7979 | − | 40.0907i | 0.437258 | − | 1.48586i | ||||
\(729\) | −22.2190 | − | 10.1471i | −0.822926 | − | 0.375818i | ||||
\(730\) | −6.06905 | + | 13.8527i | −0.224625 | + | 0.512713i | ||||
\(731\) | 6.73789 | − | 5.29873i | 0.249210 | − | 0.195981i | ||||
\(732\) | −74.6069 | + | 23.8492i | −2.75755 | + | 0.881493i | ||||
\(733\) | 7.46308 | + | 5.05116i | 0.275655 | + | 0.186569i | 0.690518 | − | 0.723315i | \(-0.257383\pi\) |
−0.414863 | + | 0.909884i | \(0.636170\pi\) | |||||||
\(734\) | 73.2658 | − | 21.5128i | 2.70429 | − | 0.794051i | ||||
\(735\) | −32.2419 | − | 34.4658i | −1.18926 | − | 1.27129i | ||||
\(736\) | 0.894016 | + | 47.2594i | 0.0329539 | + | 1.74201i | ||||
\(737\) | −35.5412 | + | 9.52322i | −1.30918 | + | 0.350792i | ||||
\(738\) | −67.2490 | + | 1.60082i | −2.47547 | + | 0.0589272i | ||||
\(739\) | −47.4416 | − | 16.4197i | −1.74517 | − | 0.604008i | −0.747017 | − | 0.664805i | \(-0.768515\pi\) |
−0.998150 | + | 0.0607961i | \(0.980636\pi\) | |||||||
\(740\) | 6.90769 | − | 123.389i | 0.253932 | − | 4.53586i | ||||
\(741\) | 21.2535 | − | 3.05579i | 0.780767 | − | 0.112257i | ||||
\(742\) | 4.52426 | + | 0.653265i | 0.166091 | + | 0.0239821i | ||||
\(743\) | 28.7789 | − | 10.7340i | 1.05580 | − | 0.393792i | 0.239182 | − | 0.970975i | \(-0.423121\pi\) |
0.816615 | + | 0.577183i | \(0.195848\pi\) | |||||||
\(744\) | 139.325 | − | 48.2208i | 5.10789 | − | 1.76786i | ||||
\(745\) | −13.6722 | + | 24.5507i | −0.500912 | + | 0.899468i | ||||
\(746\) | 15.8430 | + | 11.2817i | 0.580052 | + | 0.413053i | ||||
\(747\) | −1.73672 | + | 72.9579i | −0.0635433 | + | 2.66939i | ||||
\(748\) | −26.0655 | + | 14.2328i | −0.953048 | + | 0.520404i | ||||
\(749\) | −25.2924 | − | 12.3051i | −0.924165 | − | 0.449618i | ||||
\(750\) | 83.0440 | − | 28.6326i | 3.03234 | − | 1.04552i | ||||
\(751\) | 12.5570 | − | 4.34601i | 0.458210 | − | 0.158588i | −0.0882055 | − | 0.996102i | \(-0.528113\pi\) |
0.546415 | + | 0.837514i | \(0.315992\pi\) | |||||||
\(752\) | 3.50333 | + | 2.89259i | 0.127753 | + | 0.105482i | ||||
\(753\) | −34.0928 | + | 30.9925i | −1.24241 | + | 1.12943i | ||||
\(754\) | 9.82440 | − | 24.5402i | 0.357784 | − | 0.893700i | ||||
\(755\) | 5.66109 | − | 17.2140i | 0.206028 | − | 0.626482i | ||||
\(756\) | −75.2662 | + | 91.0463i | −2.73740 | + | 3.31132i | ||||
\(757\) | 19.8233 | − | 36.3036i | 0.720489 | − | 1.31948i | −0.218604 | − | 0.975814i | \(-0.570150\pi\) |
0.939093 | − | 0.343663i | \(-0.111668\pi\) | |||||||
\(758\) | −49.7553 | + | 13.3319i | −1.80719 | + | 0.484236i | ||||
\(759\) | 31.2032 | − | 63.4440i | 1.13260 | − | 2.30287i | ||||
\(760\) | 48.6382 | − | 21.7248i | 1.76429 | − | 0.788042i | ||||
\(761\) | −5.49555 | + | 22.6530i | −0.199214 | + | 0.821169i | 0.781210 | + | 0.624268i | \(0.214603\pi\) |
−0.980423 | + | 0.196901i | \(0.936912\pi\) | |||||||
\(762\) | −4.43523 | + | 62.0127i | −0.160672 | + | 2.24648i | ||||
\(763\) | −2.12322 | + | 44.0156i | −0.0768658 | + | 1.59347i | ||||
\(764\) | 11.0188 | + | 76.6372i | 0.398645 | + | 2.77264i | ||||
\(765\) | 16.0892 | − | 6.28627i | 0.581708 | − | 0.227280i | ||||
\(766\) | 1.54646 | + | 16.1953i | 0.0558760 | + | 0.585160i | ||||
\(767\) | 3.16422 | + | 4.67513i | 0.114253 | + | 0.168809i | ||||
\(768\) | 53.9991 | − | 6.45639i | 1.94853 | − | 0.232975i | ||||
\(769\) | 4.07924 | + | 8.93230i | 0.147101 | + | 0.322107i | 0.968812 | − | 0.247799i | \(-0.0797071\pi\) |
−0.821710 | + | 0.569905i | \(0.806980\pi\) | |||||||
\(770\) | −35.1339 | + | 66.6822i | −1.26614 | + | 2.40306i | ||||
\(771\) | 5.34929 | + | 1.57069i | 0.192650 | + | 0.0565671i | ||||
\(772\) | −9.92576 | − | 12.0215i | −0.357236 | − | 0.432662i | ||||
\(773\) | −11.0067 | − | 4.71334i | −0.395883 | − | 0.169527i | 0.186474 | − | 0.982460i | \(-0.440294\pi\) |
−0.582358 | + | 0.812933i | \(0.697870\pi\) | |||||||
\(774\) | −105.350 | − | 20.3046i | −3.78673 | − | 0.729832i | ||||
\(775\) | −30.8218 | + | 13.4603i | −1.10715 | + | 0.483507i | ||||
\(776\) | −34.5784 | + | 53.8050i | −1.24129 | + | 1.93149i | ||||
\(777\) | −49.7201 | − | 77.4682i | −1.78370 | − | 2.77916i | ||||
\(778\) | −19.9406 | − | 4.33782i | −0.714907 | − | 0.155518i | ||||
\(779\) | 13.6378 | − | 2.62847i | 0.488624 | − | 0.0941746i | ||||
\(780\) | 69.9482 | + | 5.58845i | 2.50455 | + | 0.200098i | ||||
\(781\) | 21.0495 | − | 12.1529i | 0.753211 | − | 0.434867i | ||||
\(782\) | −2.17868 | − | 15.6970i | −0.0779095 | − | 0.561325i | ||||
\(783\) | −30.7730 | + | 30.7730i | −1.09974 | + | 1.09974i | ||||
\(784\) | −37.9489 | − | 53.4275i | −1.35532 | − | 1.90812i | ||||
\(785\) | 13.1005 | − | 9.16546i | 0.467578 | − | 0.327129i | ||||
\(786\) | 0.321240 | + | 6.74365i | 0.0114582 | + | 0.240538i | ||||
\(787\) | −6.21432 | + | 51.9746i | −0.221517 | + | 1.85269i | 0.246715 | + | 0.969088i | \(0.420649\pi\) |
−0.468232 | + | 0.883606i | \(0.655109\pi\) | |||||||
\(788\) | 26.1083 | + | 28.7201i | 0.930070 | + | 1.02311i | ||||
\(789\) | 30.2621 | + | 42.4972i | 1.07736 | + | 1.51294i | ||||
\(790\) | 49.5577 | − | 46.4717i | 1.76318 | − | 1.65339i | ||||
\(791\) | 20.1449 | + | 11.0157i | 0.716270 | + | 0.391672i | ||||
\(792\) | 202.852 | + | 75.6598i | 7.20802 | + | 2.68845i | ||||
\(793\) | 11.7815 | + | 0.280451i | 0.418372 | + | 0.00995912i | ||||
\(794\) | −43.7900 | + | 10.6233i | −1.55405 | + | 0.377008i | ||||
\(795\) | 0.281791 | + | 4.46163i | 0.00999409 | + | 0.158238i | ||||
\(796\) | −2.40909 | + | 3.06341i | −0.0853879 | + | 0.108580i | ||||
\(797\) | 2.15201 | + | 30.0890i | 0.0762281 | + | 1.06581i | 0.881277 | + | 0.472600i | \(0.156685\pi\) |
−0.805049 | + | 0.593209i | \(0.797861\pi\) | |||||||
\(798\) | 34.0977 | − | 58.9771i | 1.20705 | − | 2.08777i | ||||
\(799\) | −0.517718 | − | 0.332717i | −0.0183156 | − | 0.0117707i | ||||
\(800\) | 48.3217 | − | 9.67209i | 1.70843 | − | 0.341960i | ||||
\(801\) | 25.4292 | − | 49.3258i | 0.898498 | − | 1.74284i | ||||
\(802\) | 1.05975 | + | 2.18158i | 0.0374209 | + | 0.0770342i | ||||
\(803\) | 10.8367 | − | 6.60534i | 0.382420 | − | 0.233097i | ||||
\(804\) | 108.684 | 3.83300 | ||||||||
\(805\) | −18.7933 | − | 21.2559i | −0.662377 | − | 0.749170i | ||||
\(806\) | −38.0857 | −1.34151 | ||||||||
\(807\) | 52.6275 | − | 32.0782i | 1.85258 | − | 1.12920i | ||||
\(808\) | −51.9292 | − | 106.901i | −1.82686 | − | 3.76076i | ||||
\(809\) | 5.09744 | − | 9.88766i | 0.179217 | − | 0.347632i | −0.782066 | − | 0.623195i | \(-0.785834\pi\) |
0.961283 | + | 0.275564i | \(0.0888645\pi\) | |||||||
\(810\) | −50.7004 | − | 26.6745i | −1.78143 | − | 0.937245i | ||||
\(811\) | −2.13678 | − | 1.37323i | −0.0750326 | − | 0.0482205i | 0.502587 | − | 0.864527i | \(-0.332382\pi\) |
−0.577619 | + | 0.816306i | \(0.696018\pi\) | |||||||
\(812\) | −29.5504 | − | 51.2538i | −1.03702 | − | 1.79866i | ||||
\(813\) | −2.34798 | − | 32.8290i | −0.0823472 | − | 1.15136i | ||||
\(814\) | −90.8732 | + | 115.555i | −3.18510 | + | 4.05019i | ||||
\(815\) | 13.0323 | + | 11.4839i | 0.456500 | + | 0.402262i | ||||
\(816\) | 34.7886 | − | 8.43963i | 1.21784 | − | 0.295446i | ||||
\(817\) | 22.1456 | + | 0.527163i | 0.774775 | + | 0.0184431i | ||||
\(818\) | −44.6549 | − | 16.6554i | −1.56132 | − | 0.582343i | ||||
\(819\) | 29.9143 | − | 18.2091i | 1.04529 | − | 0.636277i | ||||
\(820\) | 45.3653 | + | 1.45786i | 1.58423 | + | 0.0509105i | ||||
\(821\) | −2.30035 | − | 3.23039i | −0.0802829 | − | 0.112742i | 0.772482 | − | 0.635037i | \(-0.219015\pi\) |
−0.852765 | + | 0.522296i | \(0.825076\pi\) | |||||||
\(822\) | −60.0187 | − | 66.0228i | −2.09339 | − | 2.30281i | ||||
\(823\) | −1.76340 | + | 14.7485i | −0.0614683 | + | 0.514101i | 0.928344 | + | 0.371722i | \(0.121233\pi\) |
−0.989812 | + | 0.142379i | \(0.954525\pi\) | |||||||
\(824\) | 2.34363 | + | 49.1989i | 0.0816443 | + | 1.71393i | ||||
\(825\) | −70.8729 | − | 20.2608i | −2.46748 | − | 0.705392i | ||||
\(826\) | 17.8644 | + | 1.28847i | 0.621582 | + | 0.0448318i | ||||
\(827\) | −32.8178 | + | 32.8178i | −1.14119 | + | 1.14119i | −0.152953 | + | 0.988234i | \(0.548878\pi\) |
−0.988234 | + | 0.152953i | \(0.951122\pi\) | |||||||
\(828\) | −92.1483 | + | 105.301i | −3.20237 | + | 3.65946i | ||||
\(829\) | −22.6974 | + | 13.1043i | −0.788312 | + | 0.455132i | −0.839368 | − | 0.543564i | \(-0.817075\pi\) |
0.0510561 | + | 0.998696i | \(0.483741\pi\) | |||||||
\(830\) | 5.55917 | − | 69.5818i | 0.192962 | − | 2.41522i | ||||
\(831\) | −73.8387 | + | 14.2312i | −2.56144 | + | 0.493676i | ||||
\(832\) | 14.7740 | + | 3.21389i | 0.512196 | + | 0.111422i | ||||
\(833\) | 5.96336 | + | 6.57577i | 0.206618 | + | 0.227837i | ||||
\(834\) | 84.1181 | − | 130.890i | 2.91277 | − | 4.53236i | ||||
\(835\) | −17.6458 | − | 31.1596i | −0.610658 | − | 1.07832i | ||||
\(836\) | −75.3612 | − | 14.5247i | −2.60642 | − | 0.502346i | ||||
\(837\) | 57.6406 | + | 24.6831i | 1.99235 | + | 0.853174i | ||||
\(838\) | 33.3713 | + | 40.4173i | 1.15279 | + | 1.39619i | ||||
\(839\) | −38.7418 | − | 11.3756i | −1.33751 | − | 0.392730i | −0.466733 | − | 0.884399i | \(-0.654569\pi\) |
−0.870782 | + | 0.491669i | \(0.836387\pi\) | |||||||
\(840\) | 88.0765 | − | 95.1668i | 3.03893 | − | 3.28357i | ||||
\(841\) | 2.99270 | + | 6.55311i | 0.103197 | + | 0.225969i | ||||
\(842\) | 58.1770 | − | 6.95591i | 2.00491 | − | 0.239716i | ||||
\(843\) | 16.5651 | + | 24.4750i | 0.570534 | + | 0.842963i | ||||
\(844\) | −3.98112 | − | 41.6922i | −0.137036 | − | 1.43510i | ||||
\(845\) | 16.9552 | + | 7.42829i | 0.583278 | + | 0.255541i | ||||
\(846\) | 1.09622 | + | 7.62441i | 0.0376890 | + | 0.262133i | ||||
\(847\) | 30.3585 | − | 15.6278i | 1.04313 | − | 0.536978i | ||||
\(848\) | −0.442839 | + | 6.19170i | −0.0152072 | + | 0.212624i | ||||
\(849\) | −11.9782 | + | 49.3749i | −0.411092 | + | 1.69454i | ||||
\(850\) | −15.7013 | + | 5.14318i | −0.538549 | + | 0.176410i | ||||
\(851\) | −28.5706 | − | 47.3924i | −0.979386 | − | 1.62459i | ||||
\(852\) | −69.3482 | + | 18.5818i | −2.37583 | + | 0.636601i | ||||
\(853\) | −6.45320 | + | 11.8182i | −0.220953 | + | 0.404646i | −0.964518 | − | 0.264019i | \(-0.914952\pi\) |
0.743564 | + | 0.668665i | \(0.233134\pi\) | |||||||
\(854\) | 23.8230 | − | 28.8177i | 0.815206 | − | 0.986120i | ||||
\(855\) | 42.4056 | + | 13.9458i | 1.45024 | + | 0.476935i | ||||
\(856\) | 28.7214 | − | 71.7426i | 0.981678 | − | 2.45211i | ||||
\(857\) | 14.4225 | − | 13.1109i | 0.492663 | − | 0.447860i | −0.387961 | − | 0.921676i | \(-0.626821\pi\) |
0.880624 | + | 0.473816i | \(0.157124\pi\) | |||||||
\(858\) | −64.3666 | − | 53.1456i | −2.19744 | − | 1.81436i | ||||
\(859\) | −12.6844 | + | 4.39012i | −0.432787 | + | 0.149789i | −0.534771 | − | 0.844997i | \(-0.679602\pi\) |
0.101984 | + | 0.994786i | \(0.467481\pi\) | |||||||
\(860\) | 70.2075 | + | 17.6523i | 2.39406 | + | 0.601938i | ||||
\(861\) | 28.0096 | − | 18.9329i | 0.954566 | − | 0.645233i | ||||
\(862\) | 6.16990 | − | 3.36902i | 0.210148 | − | 0.114749i | ||||
\(863\) | −0.0142995 | + | 0.600706i | −0.000486760 | + | 0.0204483i | −0.999908 | − | 0.0135723i | \(-0.995680\pi\) |
0.999421 | + | 0.0340206i | \(0.0108312\pi\) | |||||||
\(864\) | −74.8396 | − | 53.2931i | −2.54610 | − | 1.81307i | ||||
\(865\) | 4.44358 | + | 15.6131i | 0.151086 | + | 0.530861i | ||||
\(866\) | −37.1570 | + | 12.8602i | −1.26265 | + | 0.437006i | ||||
\(867\) | 43.4835 | − | 16.2185i | 1.47678 | − | 0.550810i | ||||
\(868\) | −52.7329 | + | 66.9726i | −1.78987 | + | 2.27320i | ||||
\(869\) | −56.4298 | + | 8.11339i | −1.91425 | + | 0.275228i | ||||
\(870\) | 61.1476 | − | 54.6641i | 2.07310 | − | 1.85329i | ||||
\(871\) | −15.4531 | − | 5.34837i | −0.523608 | − | 0.181223i | ||||
\(872\) | −121.038 | + | 2.88125i | −4.09888 | + | 0.0975715i | ||||
\(873\) | −51.7706 | + | 13.8719i | −1.75217 | + | 0.469493i | ||||
\(874\) | 21.4859 | − | 34.8655i | 0.726773 | − | 1.17934i | ||||
\(875\) | −18.3266 | + | 23.2193i | −0.619554 | + | 0.784954i | ||||
\(876\) | −35.9685 | + | 10.5613i | −1.21526 | + | 0.356834i | ||||
\(877\) | 42.8715 | + | 29.0163i | 1.44767 | + | 0.979809i | 0.996161 | + | 0.0875412i | \(0.0279009\pi\) |
0.451506 | + | 0.892268i | \(0.350887\pi\) | |||||||
\(878\) | 39.3816 | − | 12.5889i | 1.32907 | − | 0.424856i | ||||
\(879\) | 12.6817 | − | 9.97298i | 0.427742 | − | 0.336380i | ||||
\(880\) | −93.7498 | − | 41.0729i | −3.16031 | − | 1.38457i | ||||
\(881\) | −19.2184 | − | 8.77673i | −0.647483 | − | 0.295695i | 0.0644734 | − | 0.997919i | \(-0.479463\pi\) |
−0.711956 | + | 0.702224i | \(0.752191\pi\) | |||||||
\(882\) | 13.3234 | − | 110.308i | 0.448622 | − | 3.71427i | ||||
\(883\) | −0.544818 | − | 0.727792i | −0.0183346 | − | 0.0244921i | 0.791280 | − | 0.611454i | \(-0.209415\pi\) |
−0.809615 | + | 0.586961i | \(0.800324\pi\) | |||||||
\(884\) | −13.1388 | − | 1.25460i | −0.441905 | − | 0.0421968i | ||||
\(885\) | 2.34842 | + | 17.3583i | 0.0789413 | + | 0.583491i | ||||
\(886\) | −0.183444 | − | 0.756166i | −0.00616292 | − | 0.0254039i | ||||
\(887\) | 27.2838 | + | 33.0445i | 0.916102 | + | 1.10953i | 0.993648 | + | 0.112537i | \(0.0358976\pi\) |
−0.0775460 | + | 0.996989i | \(0.524708\pi\) | |||||||
\(888\) | 202.464 | − | 151.563i | 6.79426 | − | 5.08612i | ||||
\(889\) | −10.0225 | − | 18.3811i | −0.336143 | − | 0.616481i | ||||
\(890\) | −26.9220 | + | 45.7465i | −0.902427 | + | 1.53343i | ||||
\(891\) | 22.0289 | + | 42.7300i | 0.737994 | + | 1.43151i | ||||
\(892\) | 57.0961 | + | 6.82667i | 1.91172 | + | 0.228574i | ||||
\(893\) | −0.484253 | − | 1.51488i | −0.0162049 | − | 0.0506934i | ||||
\(894\) | −96.9532 | + | 18.6862i | −3.24260 | + | 0.624960i | ||||
\(895\) | 46.3111 | + | 31.9096i | 1.54801 | + | 1.06662i | ||||
\(896\) | −3.22752 | + | 2.66160i | −0.107824 | + | 0.0889180i | ||||
\(897\) | 27.2883 | − | 15.5777i | 0.911130 | − | 0.520123i | ||||
\(898\) | −13.3766 | − | 49.9220i | −0.446382 | − | 1.66592i | ||||
\(899\) | −21.6710 | + | 22.7278i | −0.722767 | + | 0.758016i | ||||
\(900\) | 125.107 | + | 75.0354i | 4.17025 | + | 2.50118i | ||||
\(901\) | −0.0400099 | − | 0.839911i | −0.00133292 | − | 0.0279815i | ||||
\(902\) | −43.2228 | − | 32.3562i | −1.43916 | − | 1.07734i | ||||
\(903\) | 50.0718 | − | 20.0108i | 1.66628 | − | 0.665918i | ||||
\(904\) | −26.2053 | + | 57.3817i | −0.871576 | + | 1.90849i | ||||
\(905\) | 27.6601 | − | 44.5406i | 0.919452 | − | 1.48058i | ||||
\(906\) | 59.1101 | − | 23.6641i | 1.96380 | − | 0.786188i | ||||
\(907\) | −1.68803 | − | 10.0384i | −0.0560503 | − | 0.333319i | −0.999995 | − | 0.00321455i | \(-0.998977\pi\) |
0.943945 | − | 0.330104i | \(-0.107084\pi\) | |||||||
\(908\) | 63.2742 | + | 1.50621i | 2.09983 | + | 0.0499853i | ||||
\(909\) | 28.0586 | − | 95.5589i | 0.930646 | − | 3.16949i | ||||
\(910\) | −29.5416 | + | 15.7903i | −0.979295 | + | 0.523443i | ||||
\(911\) | −18.4931 | − | 2.65891i | −0.612705 | − | 0.0880937i | −0.171026 | − | 0.985267i | \(-0.554708\pi\) |
−0.441680 | + | 0.897173i | \(0.645617\pi\) | |||||||
\(912\) | 83.2125 | + | 40.4221i | 2.75544 | + | 1.33851i | ||||
\(913\) | −37.2944 | + | 45.1687i | −1.23426 | + | 1.49487i | ||||
\(914\) | 2.86935 | − | 60.2350i | 0.0949095 | − | 1.99240i | ||||
\(915\) | 32.3609 | + | 17.0257i | 1.06982 | + | 0.562851i | ||||
\(916\) | 16.8222 | + | 26.1758i | 0.555821 | + | 0.864874i | ||||
\(917\) | −1.31764 | − | 1.85272i | −0.0435122 | − | 0.0611821i | ||||
\(918\) | 27.0353 | + | 14.7624i | 0.892297 | + | 0.487231i | ||||
\(919\) | 6.28703 | − | 10.8894i | 0.207390 | − | 0.359210i | −0.743502 | − | 0.668734i | \(-0.766836\pi\) |
0.950892 | + | 0.309524i | \(0.100170\pi\) | |||||||
\(920\) | 54.5344 | − | 55.7018i | 1.79794 | − | 1.83643i | ||||
\(921\) | 2.21706 | + | 3.84007i | 0.0730547 | + | 0.126534i | ||||
\(922\) | −19.1757 | + | 11.6882i | −0.631519 | + | 0.384931i | ||||
\(923\) | 10.7746 | + | 0.770612i | 0.354649 | + | 0.0253650i | ||||
\(924\) | −182.576 | + | 39.6021i | −6.00630 | + | 1.30281i | ||||
\(925\) | −43.3310 | + | 38.0924i | −1.42471 | + | 1.25247i | ||||
\(926\) | 45.9076 | − | 23.6670i | 1.50862 | − | 0.777746i | ||||
\(927\) | −26.2797 | + | 31.8283i | −0.863138 | + | 1.04538i | ||||
\(928\) | 38.1064 | − | 25.7912i | 1.25090 | − | 0.846636i | ||||
\(929\) | 30.9504 | − | 39.3566i | 1.01545 | − | 1.29125i | 0.0593395 | − | 0.998238i | \(-0.481101\pi\) |
0.956109 | − | 0.293010i | \(-0.0946570\pi\) | |||||||
\(930\) | −105.863 | − | 52.5186i | −3.47137 | − | 1.72215i | ||||
\(931\) | 1.06403 | + | 22.9161i | 0.0348722 | + | 0.751043i | ||||
\(932\) | 59.6466 | + | 109.235i | 1.95379 | + | 3.57810i | ||||
\(933\) | −28.1518 | + | 23.2441i | −0.921648 | + | 0.760977i | ||||
\(934\) | −37.7879 | + | 15.1280i | −1.23646 | + | 0.495004i | ||||
\(935\) | 13.2700 | + | 4.01670i | 0.433974 | + | 0.131360i | ||||
\(936\) | 55.8122 | + | 78.3772i | 1.82428 | + | 2.56184i | ||||
\(937\) | 21.0435 | − | 4.57774i | 0.687462 | − | 0.149548i | 0.144752 | − | 0.989468i | \(-0.453762\pi\) |
0.542711 | + | 0.839920i | \(0.317398\pi\) | |||||||
\(938\) | −43.6624 | + | 28.0231i | −1.42563 | + | 0.914986i | ||||
\(939\) | −76.6211 | + | 49.2414i | −2.50043 | + | 1.60693i | ||||
\(940\) | −0.450959 | − | 5.17783i | −0.0147087 | − | 0.168882i | ||||
\(941\) | 9.98769 | − | 10.4748i | 0.325590 | − | 0.341468i | −0.540512 | − | 0.841336i | \(-0.681770\pi\) |
0.866102 | + | 0.499868i | \(0.166618\pi\) | |||||||
\(942\) | 54.2637 | + | 14.5399i | 1.76801 | + | 0.473736i | ||||
\(943\) | 17.1515 | − | 10.9046i | 0.558528 | − | 0.355101i | ||||
\(944\) | 24.3223i | 0.791623i | ||||||||
\(945\) | 54.9431 | − | 4.75197i | 1.78730 | − | 0.154582i | ||||
\(946\) | −56.3928 | − | 65.0808i | −1.83349 | − | 2.11596i | ||||
\(947\) | −29.5223 | + | 32.4757i | −0.959347 | + | 1.05532i | 0.0390793 | + | 0.999236i | \(0.487558\pi\) |
−0.998426 | + | 0.0560811i | \(0.982139\pi\) | |||||||
\(948\) | 167.205 | + | 19.9918i | 5.43057 | + | 0.649304i | ||||
\(949\) | 5.63385 | + | 0.268373i | 0.182882 | + | 0.00871176i | ||||
\(950\) | −39.7517 | − | 15.5853i | −1.28972 | − | 0.505655i | ||||
\(951\) | 32.6984 | − | 37.7360i | 1.06032 | − | 1.22367i | ||||
\(952\) | −16.8414 | + | 17.6415i | −0.545832 | + | 0.571764i | ||||
\(953\) | −2.93170 | + | 7.86020i | −0.0949672 | + | 0.254617i | −0.975744 | − | 0.218915i | \(-0.929748\pi\) |
0.880777 | + | 0.473532i | \(0.157021\pi\) | |||||||
\(954\) | −7.61706 | + | 7.26285i | −0.246611 | + | 0.235143i | ||||
\(955\) | 21.9015 | − | 28.7549i | 0.708717 | − | 0.930487i | ||||
\(956\) | −51.8273 | + | 72.7812i | −1.67621 | + | 2.35391i | ||||
\(957\) | −68.3397 | + | 8.17101i | −2.20911 | + | 0.264131i | ||||
\(958\) | −2.48855 | + | 0.177985i | −0.0804015 | + | 0.00575043i | ||||
\(959\) | 29.0181 | + | 7.79406i | 0.937043 | + | 0.251683i | ||||
\(960\) | 36.6338 | + | 29.3060i | 1.18235 | + | 0.945847i | ||||
\(961\) | 13.2259 | + | 5.29486i | 0.426642 | + | 0.170802i | ||||
\(962\) | −62.2306 | + | 19.8930i | −2.00639 | + | 0.641375i | ||||
\(963\) | 58.2502 | − | 28.2962i | 1.87709 | − | 0.911832i | ||||
\(964\) | −10.0825 | + | 41.5608i | −0.324737 | + | 1.33858i | ||||
\(965\) | −0.752106 | + | 7.23902i | −0.0242112 | + | 0.233032i | ||||
\(966\) | 14.7287 | − | 98.5974i | 0.473887 | − | 3.17232i | ||||
\(967\) | 14.7675 | + | 14.7675i | 0.474891 | + | 0.474891i | 0.903493 | − | 0.428602i | \(-0.140994\pi\) |
−0.428602 | + | 0.903493i | \(0.640994\pi\) | |||||||
\(968\) | 48.8263 | + | 80.1046i | 1.56934 | + | 2.57466i | ||||
\(969\) | −11.8422 | − | 4.09863i | −0.380427 | − | 0.131667i | ||||
\(970\) | 50.1825 | − | 10.4798i | 1.61126 | − | 0.336485i | ||||
\(971\) | −4.74736 | + | 11.8583i | −0.152350 | + | 0.380552i | −0.984834 | − | 0.173496i | \(-0.944493\pi\) |
0.832484 | + | 0.554048i | \(0.186918\pi\) | |||||||
\(972\) | −1.71230 | − | 7.87133i | −0.0549222 | − | 0.252473i | ||||
\(973\) | −0.0314771 | + | 52.3944i | −0.00100911 | + | 1.67969i | ||||
\(974\) | 72.0994 | + | 62.4745i | 2.31021 | + | 2.00181i | ||||
\(975\) | −21.0376 | − | 25.1115i | −0.673742 | − | 0.804213i | ||||
\(976\) | 41.3593 | + | 29.4518i | 1.32388 | + | 0.942730i | ||||
\(977\) | 28.8185 | + | 17.5658i | 0.921985 | + | 0.561979i | 0.899093 | − | 0.437759i | \(-0.144228\pi\) |
0.0228926 | + | 0.999738i | \(0.492712\pi\) | |||||||
\(978\) | −1.45243 | + | 61.0152i | −0.0464437 | + | 1.95105i | ||||
\(979\) | 40.5171 | − | 18.5036i | 1.29493 | − | 0.591376i | ||||
\(980\) | −13.1362 | + | 73.8110i | −0.419619 | + | 2.35781i | ||||
\(981\) | −76.6776 | − | 66.4415i | −2.44813 | − | 2.12132i | ||||
\(982\) | −9.89012 | + | 58.8143i | −0.315606 | + | 1.87684i | ||||
\(983\) | 12.7417 | − | 11.5830i | 0.406397 | − | 0.369440i | −0.443602 | − | 0.896224i | \(-0.646299\pi\) |
0.849999 | + | 0.526784i | \(0.176602\pi\) | |||||||
\(984\) | 57.4194 | + | 73.0147i | 1.83046 | + | 2.32762i | ||||
\(985\) | 1.01283 | − | 18.0917i | 0.0322714 | − | 0.576449i | ||||
\(986\) | −11.6590 | + | 10.1026i | −0.371299 | + | 0.321732i | ||||
\(987\) | −2.53344 | − | 2.92730i | −0.0806403 | − | 0.0931769i | ||||
\(988\) | −24.1184 | − | 24.1184i | −0.767309 | − | 0.767309i | ||||
\(989\) | 30.4275 | − | 11.1798i | 0.967537 | − | 0.355498i | ||||
\(990\) | −70.7727 | − | 158.448i | −2.24930 | − | 5.03581i | ||||
\(991\) | −12.1813 | − | 11.6149i | −0.386953 | − | 0.368959i | 0.471487 | − | 0.881873i | \(-0.343717\pi\) |
−0.858440 | + | 0.512914i | \(0.828566\pi\) | |||||||
\(992\) | −54.9039 | − | 37.1600i | −1.74320 | − | 1.17983i | ||||
\(993\) | 11.0406 | − | 50.7530i | 0.350364 | − | 1.61060i | ||||
\(994\) | 23.0685 | − | 25.3456i | 0.731689 | − | 0.803915i | ||||
\(995\) | 1.80827 | − | 0.200951i | 0.0573260 | − | 0.00637058i | ||||
\(996\) | 140.938 | − | 100.361i | 4.46578 | − | 3.18007i | ||||
\(997\) | 5.54784 | + | 8.19693i | 0.175702 | + | 0.259599i | 0.905765 | − | 0.423780i | \(-0.139297\pi\) |
−0.730063 | + | 0.683380i | \(0.760509\pi\) | |||||||
\(998\) | 4.54772 | − | 10.6199i | 0.143956 | − | 0.336168i | ||||
\(999\) | 107.075 | + | 10.2244i | 3.38770 | + | 0.323486i |
(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 | 805.2.bs.a.37.6 | ✓ | 3680 | |
5.3 | odd | 4 | inner | 805.2.bs.a.198.87 | yes | 3680 | |
7.4 | even | 3 | inner | 805.2.bs.a.382.6 | yes | 3680 | |
23.5 | odd | 22 | inner | 805.2.bs.a.212.6 | yes | 3680 | |
35.18 | odd | 12 | inner | 805.2.bs.a.543.6 | yes | 3680 | |
115.28 | even | 44 | inner | 805.2.bs.a.373.6 | yes | 3680 | |
161.74 | odd | 66 | inner | 805.2.bs.a.557.87 | yes | 3680 | |
805.718 | even | 132 | inner | 805.2.bs.a.718.6 | yes | 3680 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
805.2.bs.a.37.6 | ✓ | 3680 | 1.1 | even | 1 | trivial | |
805.2.bs.a.198.87 | yes | 3680 | 5.3 | odd | 4 | inner | |
805.2.bs.a.212.6 | yes | 3680 | 23.5 | odd | 22 | inner | |
805.2.bs.a.373.6 | yes | 3680 | 115.28 | even | 44 | inner | |
805.2.bs.a.382.6 | yes | 3680 | 7.4 | even | 3 | inner | |
805.2.bs.a.543.6 | yes | 3680 | 35.18 | odd | 12 | inner | |
805.2.bs.a.557.87 | yes | 3680 | 161.74 | odd | 66 | inner | |
805.2.bs.a.718.6 | yes | 3680 | 805.718 | even | 132 | inner |