Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [547,2,Mod(11,547)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(547, base_ring=CyclotomicField(78))
chi = DirichletCharacter(H, H._module([10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("547.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 547 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 547.j (of order \(39\), degree \(24\), 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: | \(4.36781699056\) |
Analytic rank: | \(0\) |
Dimension: | \(1080\) |
Relative dimension: | \(45\) over \(\Q(\zeta_{39})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{39}]$ |
Embedding invariants
Embedding label | 11.16 | ||
Character | \(\chi\) | \(=\) | 547.11 |
Dual form | 547.2.j.a.199.16 |
$q$-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 \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{39}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.959893 | − | 0.408972i | −0.678747 | − | 0.289187i | 0.0249485 | − | 0.999689i | \(-0.492058\pi\) |
−0.703696 | + | 0.710502i | \(0.748468\pi\) | |||||||
\(3\) | −1.71601 | −0.990737 | −0.495369 | − | 0.868683i | \(-0.664967\pi\) | ||||
−0.495369 | + | 0.868683i | \(0.664967\pi\) | |||||||
\(4\) | −0.631312 | − | 0.657265i | −0.315656 | − | 0.328633i | ||||
\(5\) | −0.863810 | + | 0.140383i | −0.386308 | + | 0.0627811i | −0.350464 | − | 0.936576i | \(-0.613976\pi\) |
−0.0358439 | + | 0.999357i | \(0.511412\pi\) | |||||||
\(6\) | 1.64718 | + | 0.701799i | 0.672460 | + | 0.286508i | ||||
\(7\) | −3.57814 | − | 2.68879i | −1.35241 | − | 1.01627i | −0.996658 | − | 0.0816879i | \(-0.973969\pi\) |
−0.355750 | − | 0.934581i | \(-0.615775\pi\) | |||||||
\(8\) | 1.07717 | + | 2.84026i | 0.380836 | + | 1.00418i | ||||
\(9\) | −0.0553205 | −0.0184402 | ||||||||
\(10\) | 0.886578 | + | 0.218522i | 0.280361 | + | 0.0691027i | ||||
\(11\) | −3.68262 | + | 0.297291i | −1.11035 | + | 0.0896368i | −0.622005 | − | 0.783014i | \(-0.713682\pi\) |
−0.488346 | + | 0.872650i | \(0.662399\pi\) | |||||||
\(12\) | 1.08334 | + | 1.12787i | 0.312732 | + | 0.325589i | ||||
\(13\) | 0.809100 | − | 1.40140i | 0.224404 | − | 0.388679i | −0.731736 | − | 0.681588i | \(-0.761290\pi\) |
0.956140 | + | 0.292909i | \(0.0946231\pi\) | |||||||
\(14\) | 2.33499 | + | 4.04431i | 0.624051 | + | 1.08089i | ||||
\(15\) | 1.48230 | − | 0.240898i | 0.382729 | − | 0.0621996i | ||||
\(16\) | 0.0542283 | − | 1.34566i | 0.0135571 | − | 0.336415i | ||||
\(17\) | 0.169742 | + | 0.357723i | 0.0411684 | + | 0.0867606i | 0.922993 | − | 0.384818i | \(-0.125736\pi\) |
−0.881824 | + | 0.471578i | \(0.843684\pi\) | |||||||
\(18\) | 0.0531018 | + | 0.0226246i | 0.0125162 | + | 0.00533266i | ||||
\(19\) | −0.0988150 | − | 2.45207i | −0.0226697 | − | 0.562543i | −0.970118 | − | 0.242634i | \(-0.921989\pi\) |
0.947448 | − | 0.319909i | \(-0.103652\pi\) | |||||||
\(20\) | 0.637603 | + | 0.479127i | 0.142572 | + | 0.107136i | ||||
\(21\) | 6.14011 | + | 4.61399i | 1.33988 | + | 1.00686i | ||||
\(22\) | 3.65650 | + | 1.22072i | 0.779569 | + | 0.260258i | ||||
\(23\) | 0.230063 | − | 1.12692i | 0.0479715 | − | 0.234980i | −0.948735 | − | 0.316072i | \(-0.897636\pi\) |
0.996707 | + | 0.0810924i | \(0.0258409\pi\) | |||||||
\(24\) | −1.84843 | − | 4.87390i | −0.377309 | − | 0.994881i | ||||
\(25\) | −4.01622 | + | 1.34081i | −0.803244 | + | 0.268162i | ||||
\(26\) | −1.34978 | + | 1.01430i | −0.264715 | + | 0.198920i | ||||
\(27\) | 5.24295 | 1.00901 | ||||||||
\(28\) | 0.491668 | + | 4.04925i | 0.0929166 | + | 0.765237i | ||||
\(29\) | −5.55203 | + | 4.91867i | −1.03099 | + | 0.913374i | −0.996293 | − | 0.0860237i | \(-0.972584\pi\) |
−0.0346933 | + | 0.999398i | \(0.511045\pi\) | |||||||
\(30\) | −1.52137 | − | 0.374985i | −0.277764 | − | 0.0684626i | ||||
\(31\) | 9.61575 | − | 5.04674i | 1.72704 | − | 0.906421i | 0.760719 | − | 0.649081i | \(-0.224846\pi\) |
0.966321 | − | 0.257340i | \(-0.0828459\pi\) | |||||||
\(32\) | 2.00205 | − | 4.21923i | 0.353916 | − | 0.745862i | ||||
\(33\) | 6.31939 | − | 0.510154i | 1.10007 | − | 0.0888064i | ||||
\(34\) | −0.0166351 | − | 0.412796i | −0.00285290 | − | 0.0707939i | ||||
\(35\) | 3.46829 | + | 1.82030i | 0.586248 | + | 0.307687i | ||||
\(36\) | 0.0349245 | + | 0.0363603i | 0.00582075 | + | 0.00606004i | ||||
\(37\) | 0.312149 | + | 1.52901i | 0.0513170 | + | 0.251368i | 0.997355 | − | 0.0726894i | \(-0.0231582\pi\) |
−0.946038 | + | 0.324057i | \(0.894953\pi\) | |||||||
\(38\) | −0.907977 | + | 2.39414i | −0.147293 | + | 0.388380i | ||||
\(39\) | −1.38842 | + | 2.40482i | −0.222325 | + | 0.385079i | ||||
\(40\) | −1.32919 | − | 2.30223i | −0.210164 | − | 0.364014i | ||||
\(41\) | −2.17498 | + | 3.76717i | −0.339674 | + | 0.588333i | −0.984371 | − | 0.176105i | \(-0.943650\pi\) |
0.644697 | + | 0.764438i | \(0.276984\pi\) | |||||||
\(42\) | −4.00685 | − | 6.94007i | −0.618271 | − | 1.07088i | ||||
\(43\) | 0.229738 | − | 0.793148i | 0.0350347 | − | 0.120954i | −0.941095 | − | 0.338142i | \(-0.890201\pi\) |
0.976130 | + | 0.217188i | \(0.0696886\pi\) | |||||||
\(44\) | 2.52028 | + | 2.23277i | 0.379946 | + | 0.336603i | ||||
\(45\) | 0.0477864 | − | 0.00776605i | 0.00712358 | − | 0.00115769i | ||||
\(46\) | −0.681717 | + | 0.987638i | −0.100514 | + | 0.145619i | ||||
\(47\) | 11.5336 | + | 3.85048i | 1.68235 | + | 0.561650i | 0.987515 | − | 0.157522i | \(-0.0503505\pi\) |
0.694832 | + | 0.719172i | \(0.255479\pi\) | |||||||
\(48\) | −0.0930562 | + | 2.30916i | −0.0134315 | + | 0.333299i | ||||
\(49\) | 3.62592 | + | 12.5181i | 0.517988 | + | 1.78830i | ||||
\(50\) | 4.40350 | + | 0.355487i | 0.622749 | + | 0.0502735i | ||||
\(51\) | −0.291278 | − | 0.613855i | −0.0407871 | − | 0.0859570i | ||||
\(52\) | −1.43189 | + | 0.352929i | −0.198567 | + | 0.0489424i | ||||
\(53\) | 3.19263 | + | 3.91027i | 0.438542 | + | 0.537116i | 0.945831 | − | 0.324660i | \(-0.105250\pi\) |
−0.507289 | + | 0.861776i | \(0.669352\pi\) | |||||||
\(54\) | −5.03267 | − | 2.14422i | −0.684860 | − | 0.291792i | ||||
\(55\) | 3.13935 | − | 0.773779i | 0.423309 | − | 0.104336i | ||||
\(56\) | 3.78262 | − | 13.0591i | 0.505474 | − | 1.74510i | ||||
\(57\) | 0.169567 | + | 4.20777i | 0.0224597 | + | 0.557333i | ||||
\(58\) | 7.34096 | − | 2.45077i | 0.963915 | − | 0.321802i | ||||
\(59\) | 0.283222 | − | 7.02809i | 0.0368724 | − | 0.914980i | −0.869866 | − | 0.493287i | \(-0.835795\pi\) |
0.906739 | − | 0.421692i | \(-0.138564\pi\) | |||||||
\(60\) | −1.09413 | − | 0.822186i | −0.141252 | − | 0.106144i | ||||
\(61\) | −2.92095 | − | 1.24450i | −0.373989 | − | 0.159342i | 0.196790 | − | 0.980446i | \(-0.436948\pi\) |
−0.570779 | + | 0.821104i | \(0.693359\pi\) | |||||||
\(62\) | −11.2941 | + | 0.911752i | −1.43435 | + | 0.115793i | ||||
\(63\) | 0.197944 | + | 0.148746i | 0.0249386 | + | 0.0187402i | ||||
\(64\) | −5.66342 | + | 5.01735i | −0.707928 | + | 0.627169i | ||||
\(65\) | −0.502176 | + | 1.32413i | −0.0622873 | + | 0.164238i | ||||
\(66\) | −6.27458 | − | 2.09476i | −0.772348 | − | 0.257848i | ||||
\(67\) | 0.998497 | − | 3.44721i | 0.121986 | − | 0.421144i | −0.876159 | − | 0.482021i | \(-0.839903\pi\) |
0.998145 | + | 0.0608776i | \(0.0193899\pi\) | |||||||
\(68\) | 0.127959 | − | 0.337400i | 0.0155173 | − | 0.0409158i | ||||
\(69\) | −0.394790 | + | 1.93381i | −0.0475271 | + | 0.232803i | ||||
\(70\) | −2.58474 | − | 3.16573i | −0.308935 | − | 0.378377i | ||||
\(71\) | −0.978758 | + | 0.618929i | −0.116157 | + | 0.0734534i | −0.591281 | − | 0.806466i | \(-0.701378\pi\) |
0.475124 | + | 0.879919i | \(0.342403\pi\) | |||||||
\(72\) | −0.0595895 | − | 0.157125i | −0.00702269 | − | 0.0185173i | ||||
\(73\) | −2.54245 | − | 0.413189i | −0.297571 | − | 0.0483601i | 0.00979269 | − | 0.999952i | \(-0.496883\pi\) |
−0.307364 | + | 0.951592i | \(0.599447\pi\) | |||||||
\(74\) | 0.325692 | − | 1.59535i | 0.0378609 | − | 0.185455i | ||||
\(75\) | 6.89186 | − | 2.30084i | 0.795804 | − | 0.265678i | ||||
\(76\) | −1.54928 | + | 1.61297i | −0.177714 | + | 0.185020i | ||||
\(77\) | 13.9763 | + | 8.83805i | 1.59274 | + | 1.00719i | ||||
\(78\) | 2.31624 | − | 1.74054i | 0.262263 | − | 0.197077i | ||||
\(79\) | −7.37271 | + | 1.81721i | −0.829495 | + | 0.204452i | −0.631131 | − | 0.775676i | \(-0.717409\pi\) |
−0.198364 | + | 0.980128i | \(0.563563\pi\) | |||||||
\(80\) | 0.142065 | + | 1.17001i | 0.0158833 | + | 0.130811i | ||||
\(81\) | −8.83098 | −0.981220 | ||||||||
\(82\) | 3.62841 | − | 2.72658i | 0.400691 | − | 0.301100i | ||||
\(83\) | −0.796777 | − | 0.975874i | −0.0874576 | − | 0.107116i | 0.729022 | − | 0.684490i | \(-0.239975\pi\) |
−0.816480 | + | 0.577374i | \(0.804078\pi\) | |||||||
\(84\) | −0.843706 | − | 6.94855i | −0.0920559 | − | 0.758149i | ||||
\(85\) | −0.196843 | − | 0.285176i | −0.0213506 | − | 0.0309317i | ||||
\(86\) | −0.544900 | + | 0.667381i | −0.0587580 | + | 0.0719655i | ||||
\(87\) | 9.52732 | − | 8.44047i | 1.02144 | − | 0.904914i | ||||
\(88\) | −4.81118 | − | 10.1393i | −0.512874 | − | 1.08086i | ||||
\(89\) | −1.01951 | + | 8.39645i | −0.108068 | + | 0.890022i | 0.833342 | + | 0.552758i | \(0.186425\pi\) |
−0.941410 | + | 0.337264i | \(0.890499\pi\) | |||||||
\(90\) | −0.0490460 | − | 0.0120887i | −0.00516990 | − | 0.00127427i | ||||
\(91\) | −6.66315 | + | 2.83890i | −0.698488 | + | 0.297598i | ||||
\(92\) | −0.885930 | + | 0.560228i | −0.0923646 | + | 0.0584078i | ||||
\(93\) | −16.5007 | + | 8.66023i | −1.71104 | + | 0.898025i | ||||
\(94\) | −9.49628 | − | 8.41297i | −0.979466 | − | 0.867732i | ||||
\(95\) | 0.429586 | + | 2.10425i | 0.0440746 | + | 0.215892i | ||||
\(96\) | −3.43553 | + | 7.24023i | −0.350637 | + | 0.738953i | ||||
\(97\) | −5.76267 | − | 0.465211i | −0.585110 | − | 0.0472350i | −0.215633 | − | 0.976475i | \(-0.569181\pi\) |
−0.369478 | + | 0.929240i | \(0.620463\pi\) | |||||||
\(98\) | 1.63907 | − | 13.4990i | 0.165571 | − | 1.36360i | ||||
\(99\) | 0.203724 | − | 0.0164463i | 0.0204751 | − | 0.00165292i | ||||
\(100\) | 3.41676 | + | 1.79325i | 0.341676 | + | 0.179325i | ||||
\(101\) | −3.38405 | − | 8.92300i | −0.336725 | − | 0.887872i | −0.991270 | − | 0.131849i | \(-0.957909\pi\) |
0.654544 | − | 0.756024i | \(-0.272860\pi\) | |||||||
\(102\) | 0.0285459 | + | 0.708360i | 0.00282647 | + | 0.0701381i | ||||
\(103\) | −5.72264 | + | 8.29067i | −0.563868 | + | 0.816904i | −0.996405 | − | 0.0847118i | \(-0.973003\pi\) |
0.432537 | + | 0.901616i | \(0.357618\pi\) | |||||||
\(104\) | 4.85188 | + | 0.788508i | 0.475766 | + | 0.0773195i | ||||
\(105\) | −5.95161 | − | 3.12365i | −0.580818 | − | 0.304837i | ||||
\(106\) | −1.46540 | − | 5.05914i | −0.142332 | − | 0.491387i | ||||
\(107\) | −5.54012 | − | 8.02626i | −0.535584 | − | 0.775927i | 0.458009 | − | 0.888948i | \(-0.348563\pi\) |
−0.993593 | + | 0.113020i | \(0.963947\pi\) | |||||||
\(108\) | −3.30994 | − | 3.44601i | −0.318499 | − | 0.331593i | ||||
\(109\) | −9.49317 | − | 6.00312i | −0.909281 | − | 0.574995i | −0.00408645 | − | 0.999992i | \(-0.501301\pi\) |
−0.905195 | + | 0.424997i | \(0.860275\pi\) | |||||||
\(110\) | −3.32989 | − | 0.541160i | −0.317493 | − | 0.0515976i | ||||
\(111\) | −0.535651 | − | 2.62379i | −0.0508417 | − | 0.249039i | ||||
\(112\) | −3.81224 | + | 4.66915i | −0.360223 | + | 0.441193i | ||||
\(113\) | 10.2446 | + | 6.47830i | 0.963731 | + | 0.609427i | 0.920960 | − | 0.389658i | \(-0.127407\pi\) |
0.0427717 | + | 0.999085i | \(0.486381\pi\) | |||||||
\(114\) | 1.55809 | − | 4.10836i | 0.145929 | − | 0.384783i | ||||
\(115\) | −0.0405302 | + | 1.00575i | −0.00377946 | + | 0.0937863i | ||||
\(116\) | 6.73794 | + | 0.543942i | 0.625602 | + | 0.0505038i | ||||
\(117\) | −0.0447598 | + | 0.0775263i | −0.00413805 | + | 0.00716731i | ||||
\(118\) | −3.14616 | + | 6.63039i | −0.289627 | + | 0.610377i | ||||
\(119\) | 0.354485 | − | 1.73638i | 0.0324956 | − | 0.159174i | ||||
\(120\) | 2.28090 | + | 3.95064i | 0.208217 | + | 0.360642i | ||||
\(121\) | 2.61572 | − | 0.425096i | 0.237793 | − | 0.0386451i | ||||
\(122\) | 2.29483 | + | 2.38917i | 0.207764 | + | 0.216306i | ||||
\(123\) | 3.73227 | − | 6.46449i | 0.336528 | − | 0.582883i | ||||
\(124\) | −9.38759 | − | 3.13404i | −0.843030 | − | 0.281445i | ||||
\(125\) | 7.15553 | − | 3.75551i | 0.640010 | − | 0.335903i | ||||
\(126\) | −0.129173 | − | 0.223734i | −0.0115076 | − | 0.0199318i | ||||
\(127\) | 2.87976 | + | 9.94209i | 0.255538 | + | 0.882218i | 0.981008 | + | 0.193965i | \(0.0621349\pi\) |
−0.725471 | + | 0.688253i | \(0.758378\pi\) | |||||||
\(128\) | −1.37134 | + | 0.457820i | −0.121210 | + | 0.0404659i | ||||
\(129\) | −0.394232 | + | 1.36105i | −0.0347102 | + | 0.119834i | ||||
\(130\) | 1.02357 | − | 1.06565i | 0.0897728 | − | 0.0934634i | ||||
\(131\) | 2.96873 | + | 4.30095i | 0.259379 | + | 0.375776i | 0.930939 | − | 0.365175i | \(-0.118991\pi\) |
−0.671560 | + | 0.740950i | \(0.734375\pi\) | |||||||
\(132\) | −4.32482 | − | 3.83145i | −0.376427 | − | 0.333485i | ||||
\(133\) | −6.23954 | + | 9.03953i | −0.541037 | + | 0.783827i | ||||
\(134\) | −2.36826 | + | 2.90060i | −0.204587 | + | 0.250573i | ||||
\(135\) | −4.52891 | + | 0.736020i | −0.389787 | + | 0.0633465i | ||||
\(136\) | −0.833186 | + | 0.867438i | −0.0714451 | + | 0.0743822i | ||||
\(137\) | 10.2115 | − | 10.6313i | 0.872427 | − | 0.908293i | −0.124040 | − | 0.992277i | \(-0.539585\pi\) |
0.996467 | + | 0.0839846i | \(0.0267647\pi\) | |||||||
\(138\) | 1.16983 | − | 1.69479i | 0.0995826 | − | 0.144270i | ||||
\(139\) | −14.8132 | + | 15.4221i | −1.25644 | + | 1.30809i | −0.324311 | + | 0.945950i | \(0.605133\pi\) |
−0.932124 | + | 0.362138i | \(0.882047\pi\) | |||||||
\(140\) | −0.993154 | − | 3.42876i | −0.0839368 | − | 0.289784i | ||||
\(141\) | −19.7917 | − | 6.60745i | −1.66676 | − | 0.556448i | ||||
\(142\) | 1.19263 | − | 0.193821i | 0.100083 | − | 0.0162651i | ||||
\(143\) | −2.56298 | + | 5.40137i | −0.214327 | + | 0.451685i | ||||
\(144\) | −0.00299994 | + | 0.0744427i | −0.000249995 | + | 0.00620356i | ||||
\(145\) | 4.10540 | − | 5.02821i | 0.340935 | − | 0.417570i | ||||
\(146\) | 2.27150 | + | 1.43641i | 0.187991 | + | 0.118878i | ||||
\(147\) | −6.22210 | − | 21.4812i | −0.513190 | − | 1.77174i | ||||
\(148\) | 0.807901 | − | 1.17045i | 0.0664091 | − | 0.0962101i | ||||
\(149\) | 0.815200 | + | 0.427850i | 0.0667837 | + | 0.0350508i | 0.497784 | − | 0.867301i | \(-0.334147\pi\) |
−0.431001 | + | 0.902352i | \(0.641839\pi\) | |||||||
\(150\) | −7.55643 | − | 0.610018i | −0.616980 | − | 0.0498078i | ||||
\(151\) | −1.36508 | − | 1.20935i | −0.111088 | − | 0.0984158i | 0.605750 | − | 0.795655i | \(-0.292873\pi\) |
−0.716839 | + | 0.697239i | \(0.754412\pi\) | |||||||
\(152\) | 6.85807 | − | 2.92195i | 0.556263 | − | 0.237002i | ||||
\(153\) | −0.00939020 | − | 0.0197894i | −0.000759153 | − | 0.00159988i | ||||
\(154\) | −9.80120 | − | 14.1995i | −0.789803 | − | 1.14423i | ||||
\(155\) | −7.59771 | + | 5.70931i | −0.610263 | + | 0.458583i | ||||
\(156\) | 2.45713 | − | 0.605628i | 0.196728 | − | 0.0484891i | ||||
\(157\) | 10.1057 | − | 10.5212i | 0.806525 | − | 0.839681i | −0.183139 | − | 0.983087i | \(-0.558626\pi\) |
0.989664 | + | 0.143406i | \(0.0458054\pi\) | |||||||
\(158\) | 7.82021 | + | 1.27091i | 0.622142 | + | 0.101108i | ||||
\(159\) | −5.47858 | − | 6.71004i | −0.434480 | − | 0.532141i | ||||
\(160\) | −1.13708 | + | 3.92567i | −0.0898944 | + | 0.310351i | ||||
\(161\) | −3.85327 | + | 3.41370i | −0.303680 | + | 0.269037i | ||||
\(162\) | 8.47680 | + | 3.61163i | 0.666000 | + | 0.283756i | ||||
\(163\) | 0.622189 | − | 0.207717i | 0.0487336 | − | 0.0162697i | −0.292197 | − | 0.956358i | \(-0.594386\pi\) |
0.340930 | + | 0.940089i | \(0.389258\pi\) | |||||||
\(164\) | 3.84912 | − | 0.948723i | 0.300566 | − | 0.0740828i | ||||
\(165\) | −5.38714 | + | 1.32781i | −0.419388 | + | 0.103370i | ||||
\(166\) | 0.365715 | + | 1.26259i | 0.0283850 | + | 0.0979963i | ||||
\(167\) | 4.09806 | − | 5.93706i | 0.317117 | − | 0.459423i | −0.631717 | − | 0.775199i | \(-0.717649\pi\) |
0.948834 | + | 0.315776i | \(0.102265\pi\) | |||||||
\(168\) | −6.49100 | + | 22.4095i | −0.500792 | + | 1.72893i | ||||
\(169\) | 5.19071 | + | 8.99058i | 0.399286 | + | 0.691583i | ||||
\(170\) | 0.0723190 | + | 0.354242i | 0.00554661 | + | 0.0271691i | ||||
\(171\) | 0.00546650 | + | 0.135650i | 0.000418034 | + | 0.0103734i | ||||
\(172\) | −0.666345 | + | 0.349725i | −0.0508083 | + | 0.0266663i | ||||
\(173\) | 2.60543 | + | 21.4577i | 0.198088 | + | 1.63140i | 0.664823 | + | 0.747001i | \(0.268507\pi\) |
−0.466736 | + | 0.884397i | \(0.654570\pi\) | |||||||
\(174\) | −12.5971 | + | 4.20554i | −0.954986 | + | 0.318821i | ||||
\(175\) | 17.9758 | + | 6.00119i | 1.35884 | + | 0.453647i | ||||
\(176\) | 0.200352 | + | 4.97168i | 0.0151021 | + | 0.374754i | ||||
\(177\) | −0.486012 | + | 12.0603i | −0.0365309 | + | 0.906504i | ||||
\(178\) | 4.41254 | − | 7.64274i | 0.330734 | − | 0.572848i | ||||
\(179\) | −8.73804 | − | 2.15373i | −0.653112 | − | 0.160978i | −0.101182 | − | 0.994868i | \(-0.532262\pi\) |
−0.551930 | + | 0.833890i | \(0.686108\pi\) | |||||||
\(180\) | −0.0352725 | − | 0.0265056i | −0.00262906 | − | 0.00197561i | ||||
\(181\) | 2.87020 | + | 2.98819i | 0.213340 | + | 0.222110i | 0.819271 | − | 0.573407i | \(-0.194379\pi\) |
−0.605931 | + | 0.795517i | \(0.707199\pi\) | |||||||
\(182\) | 7.55695 | 0.560158 | ||||||||
\(183\) | 5.01237 | + | 2.13557i | 0.370525 | + | 0.157866i | ||||
\(184\) | 3.44857 | − | 0.560448i | 0.254232 | − | 0.0413168i | ||||
\(185\) | −0.484284 | − | 1.27695i | −0.0356053 | − | 0.0938835i | ||||
\(186\) | 19.3807 | − | 1.56457i | 1.42106 | − | 0.114720i | ||||
\(187\) | −0.731442 | − | 1.26689i | −0.0534883 | − | 0.0926445i | ||||
\(188\) | −4.75051 | − | 10.0115i | −0.346466 | − | 0.730163i | ||||
\(189\) | −18.7600 | − | 14.0972i | −1.36459 | − | 1.02542i | ||||
\(190\) | 0.448224 | − | 2.19555i | 0.0325176 | − | 0.159282i | ||||
\(191\) | −0.609559 | + | 0.458054i | −0.0441061 | + | 0.0331436i | −0.622567 | − | 0.782567i | \(-0.713910\pi\) |
0.578461 | + | 0.815710i | \(0.303654\pi\) | |||||||
\(192\) | 9.71847 | − | 8.60982i | 0.701370 | − | 0.621360i | ||||
\(193\) | 10.1123 | − | 21.3113i | 0.727901 | − | 1.53402i | −0.113458 | − | 0.993543i | \(-0.536193\pi\) |
0.841359 | − | 0.540476i | \(-0.181756\pi\) | |||||||
\(194\) | 5.34129 | + | 2.80332i | 0.383482 | + | 0.201267i | ||||
\(195\) | 0.861738 | − | 2.27222i | 0.0617103 | − | 0.162717i | ||||
\(196\) | 5.93864 | − | 10.2860i | 0.424189 | − | 0.734716i | ||||
\(197\) | 20.2802 | + | 17.9667i | 1.44491 | + | 1.28008i | 0.895899 | + | 0.444258i | \(0.146533\pi\) |
0.549008 | + | 0.835817i | \(0.315006\pi\) | |||||||
\(198\) | −0.202280 | − | 0.0675309i | −0.0143754 | − | 0.00479921i | ||||
\(199\) | −20.2114 | − | 1.63163i | −1.43275 | − | 0.115663i | −0.660425 | − | 0.750892i | \(-0.729624\pi\) |
−0.772324 | + | 0.635229i | \(0.780906\pi\) | |||||||
\(200\) | −8.13440 | − | 9.96283i | −0.575189 | − | 0.704478i | ||||
\(201\) | −1.71343 | + | 5.91544i | −0.120856 | + | 0.417243i | ||||
\(202\) | −0.400936 | + | 9.94911i | −0.0282097 | + | 0.700017i | ||||
\(203\) | 33.0912 | − | 2.67140i | 2.32255 | − | 0.187495i | ||||
\(204\) | −0.219579 | + | 0.578981i | −0.0153736 | + | 0.0405368i | ||||
\(205\) | 1.34992 | − | 3.55945i | 0.0942826 | − | 0.248603i | ||||
\(206\) | 8.88378 | − | 5.61776i | 0.618962 | − | 0.391408i | ||||
\(207\) | −0.0127272 | + | 0.0623420i | −0.000884603 | + | 0.00433307i | ||||
\(208\) | −1.84194 | − | 1.16477i | −0.127715 | − | 0.0807623i | ||||
\(209\) | 1.09288 | + | 9.00065i | 0.0755959 | + | 0.622588i | ||||
\(210\) | 4.43543 | + | 5.43241i | 0.306074 | + | 0.374872i | ||||
\(211\) | 10.0126 | − | 12.2632i | 0.689293 | − | 0.844230i | −0.304839 | − | 0.952404i | \(-0.598603\pi\) |
0.994132 | + | 0.108174i | \(0.0345002\pi\) | |||||||
\(212\) | 0.554535 | − | 4.56700i | 0.0380856 | − | 0.313663i | ||||
\(213\) | 1.67956 | − | 1.06209i | 0.115081 | − | 0.0727730i | ||||
\(214\) | 2.03541 | + | 9.97011i | 0.139138 | + | 0.681542i | ||||
\(215\) | −0.0871058 | + | 0.717381i | −0.00594056 | + | 0.0489250i | ||||
\(216\) | 5.64754 | + | 14.8913i | 0.384266 | + | 1.01323i | ||||
\(217\) | −47.9761 | − | 7.79688i | −3.25683 | − | 0.529287i | ||||
\(218\) | 6.65732 | + | 9.64480i | 0.450891 | + | 0.653228i | ||||
\(219\) | 4.36286 | + | 0.709034i | 0.294815 | + | 0.0479121i | ||||
\(220\) | −2.49049 | − | 1.57489i | −0.167909 | − | 0.106179i | ||||
\(221\) | 0.638652 | + | 0.0515573i | 0.0429604 | + | 0.00346812i | ||||
\(222\) | −0.558890 | + | 2.73762i | −0.0375102 | + | 0.183737i | ||||
\(223\) | 8.99612 | + | 9.36595i | 0.602424 | + | 0.627190i | 0.950667 | − | 0.310214i | \(-0.100401\pi\) |
−0.348242 | + | 0.937405i | \(0.613221\pi\) | |||||||
\(224\) | −18.5083 | + | 9.71388i | −1.23663 | + | 0.649036i | ||||
\(225\) | 0.222179 | − | 0.0741744i | 0.0148120 | − | 0.00494496i | ||||
\(226\) | −7.18428 | − | 10.4082i | −0.477891 | − | 0.692345i | ||||
\(227\) | −17.1333 | + | 20.9845i | −1.13718 | + | 1.39279i | −0.229406 | + | 0.973331i | \(0.573678\pi\) |
−0.907773 | + | 0.419461i | \(0.862219\pi\) | |||||||
\(228\) | 2.65857 | − | 2.76787i | 0.176068 | − | 0.183306i | ||||
\(229\) | 3.37405 | + | 11.6486i | 0.222964 | + | 0.769760i | 0.991517 | + | 0.129974i | \(0.0414895\pi\) |
−0.768554 | + | 0.639785i | \(0.779023\pi\) | |||||||
\(230\) | 0.450227 | − | 0.948833i | 0.0296871 | − | 0.0625642i | ||||
\(231\) | −23.9834 | − | 15.1662i | −1.57799 | − | 0.997860i | ||||
\(232\) | −19.9508 | − | 10.4710i | −1.30983 | − | 0.687453i | ||||
\(233\) | 17.1311 | − | 7.29888i | 1.12230 | − | 0.478165i | 0.250540 | − | 0.968106i | \(-0.419392\pi\) |
0.871756 | + | 0.489941i | \(0.162982\pi\) | |||||||
\(234\) | 0.0746708 | − | 0.0561115i | 0.00488138 | − | 0.00366812i | ||||
\(235\) | −10.5034 | − | 1.70696i | −0.685165 | − | 0.111350i | ||||
\(236\) | −4.79812 | + | 4.25077i | −0.312331 | + | 0.276701i | ||||
\(237\) | 12.6516 | − | 3.11835i | 0.821812 | − | 0.202558i | ||||
\(238\) | −1.05040 | + | 1.52177i | −0.0680873 | + | 0.0986415i | ||||
\(239\) | 1.39711 | + | 6.84349i | 0.0903715 | + | 0.442669i | 0.999649 | + | 0.0264793i | \(0.00842959\pi\) |
−0.909278 | + | 0.416190i | \(0.863365\pi\) | |||||||
\(240\) | −0.243784 | − | 2.00774i | −0.0157362 | − | 0.129599i | ||||
\(241\) | 1.11787 | + | 27.7397i | 0.0720085 | + | 1.78687i | 0.483385 | + | 0.875408i | \(0.339407\pi\) |
−0.411377 | + | 0.911465i | \(0.634952\pi\) | |||||||
\(242\) | −2.68467 | − | 0.661711i | −0.172577 | − | 0.0425364i | ||||
\(243\) | −0.574834 | −0.0368756 | ||||||||
\(244\) | 1.02606 | + | 2.70551i | 0.0656869 | + | 0.173202i | ||||
\(245\) | −4.88943 | − | 10.3043i | −0.312374 | − | 0.658315i | ||||
\(246\) | −6.22638 | + | 4.67882i | −0.396980 | + | 0.298311i | ||||
\(247\) | −3.51629 | − | 1.84549i | −0.223736 | − | 0.117426i | ||||
\(248\) | 24.6918 | + | 21.8750i | 1.56793 | + | 1.38907i | ||||
\(249\) | 1.36727 | + | 1.67461i | 0.0866475 | + | 0.106124i | ||||
\(250\) | −8.40445 | + | 0.678477i | −0.531544 | + | 0.0429106i | ||||
\(251\) | 16.6308 | − | 10.5167i | 1.04973 | − | 0.663806i | 0.105942 | − | 0.994372i | \(-0.466214\pi\) |
0.943783 | + | 0.330566i | \(0.107240\pi\) | |||||||
\(252\) | −0.0271994 | − | 0.224007i | −0.00171340 | − | 0.0141111i | ||||
\(253\) | −0.512210 | + | 4.21843i | −0.0322023 | + | 0.265210i | ||||
\(254\) | 1.30178 | − | 10.7211i | 0.0816807 | − | 0.672701i | ||||
\(255\) | 0.337784 | + | 0.489364i | 0.0211528 | + | 0.0306452i | ||||
\(256\) | 16.5870 | + | 1.33904i | 1.03669 | + | 0.0836901i | ||||
\(257\) | −1.67956 | + | 0.881500i | −0.104768 | + | 0.0549864i | −0.516293 | − | 0.856412i | \(-0.672689\pi\) |
0.411525 | + | 0.911398i | \(0.364996\pi\) | |||||||
\(258\) | 0.935051 | − | 1.14523i | 0.0582138 | − | 0.0712989i | ||||
\(259\) | 2.99428 | − | 6.31031i | 0.186055 | − | 0.392103i | ||||
\(260\) | 1.18733 | − | 0.505876i | 0.0736354 | − | 0.0313731i | ||||
\(261\) | 0.307141 | − | 0.272103i | 0.0190116 | − | 0.0168428i | ||||
\(262\) | −1.09070 | − | 5.34258i | −0.0673834 | − | 0.330066i | ||||
\(263\) | 1.25822 | + | 0.310124i | 0.0775852 | + | 0.0191230i | 0.277917 | − | 0.960605i | \(-0.410356\pi\) |
−0.200332 | + | 0.979728i | \(0.564202\pi\) | |||||||
\(264\) | 8.25602 | + | 17.3992i | 0.508123 | + | 1.07085i | ||||
\(265\) | −3.30676 | − | 2.92954i | −0.203133 | − | 0.179960i | ||||
\(266\) | 9.68621 | − | 6.12519i | 0.593900 | − | 0.375559i | ||||
\(267\) | 1.74949 | − | 14.4084i | 0.107067 | − | 0.881777i | ||||
\(268\) | −2.89609 | + | 1.51999i | −0.176907 | + | 0.0928480i | ||||
\(269\) | −6.56820 | + | 2.79845i | −0.400470 | + | 0.170624i | −0.582805 | − | 0.812612i | \(-0.698045\pi\) |
0.182335 | + | 0.983237i | \(0.441635\pi\) | |||||||
\(270\) | 4.64829 | + | 1.14570i | 0.282886 | + | 0.0697251i | ||||
\(271\) | 24.8969 | − | 15.7438i | 1.51238 | − | 0.956370i | 0.517457 | − | 0.855709i | \(-0.326879\pi\) |
0.994921 | − | 0.100661i | \(-0.0320958\pi\) | |||||||
\(272\) | 0.490579 | − | 0.209016i | 0.0297457 | − | 0.0126735i | ||||
\(273\) | 11.4340 | − | 4.87158i | 0.692018 | − | 0.294841i | ||||
\(274\) | −14.1498 | + | 6.02869i | −0.854824 | + | 0.364206i | ||||
\(275\) | 14.3916 | − | 6.13168i | 0.867845 | − | 0.369754i | ||||
\(276\) | 1.52026 | − | 0.961356i | 0.0915090 | − | 0.0578668i | ||||
\(277\) | 7.48265 | + | 1.84431i | 0.449589 | + | 0.110814i | 0.457608 | − | 0.889154i | \(-0.348706\pi\) |
−0.00801890 | + | 0.999968i | \(0.502553\pi\) | |||||||
\(278\) | 20.5263 | − | 8.74543i | 1.23108 | − | 0.524516i | ||||
\(279\) | −0.531949 | + | 0.279188i | −0.0318469 | + | 0.0167146i | ||||
\(280\) | −1.43419 | + | 11.8116i | −0.0857092 | + | 0.705879i | ||||
\(281\) | −3.45588 | + | 2.18536i | −0.206160 | + | 0.130368i | −0.633556 | − | 0.773697i | \(-0.718405\pi\) |
0.427396 | + | 0.904065i | \(0.359431\pi\) | |||||||
\(282\) | 16.2957 | + | 14.4367i | 0.970394 | + | 0.859694i | ||||
\(283\) | 0.413649 | + | 0.871746i | 0.0245889 | + | 0.0518199i | 0.915373 | − | 0.402606i | \(-0.131896\pi\) |
−0.890784 | + | 0.454426i | \(0.849844\pi\) | |||||||
\(284\) | 1.02470 | + | 0.252566i | 0.0608049 | + | 0.0149871i | ||||
\(285\) | −0.737172 | − | 3.61091i | −0.0436663 | − | 0.213892i | ||||
\(286\) | 4.66920 | − | 4.13655i | 0.276095 | − | 0.244599i | ||||
\(287\) | 17.9115 | − | 7.63138i | 1.05728 | − | 0.450466i | ||||
\(288\) | −0.110754 | + | 0.233410i | −0.00652627 | + | 0.0137538i | ||||
\(289\) | 10.6524 | − | 13.0468i | 0.626613 | − | 0.767461i | ||||
\(290\) | −5.99715 | + | 3.14755i | −0.352165 | + | 0.184830i | ||||
\(291\) | 9.88878 | + | 0.798305i | 0.579690 | + | 0.0467975i | ||||
\(292\) | 1.33351 | + | 1.93192i | 0.0780375 | + | 0.113057i | ||||
\(293\) | −0.232173 | + | 1.91211i | −0.0135637 | + | 0.111707i | −0.997918 | − | 0.0644923i | \(-0.979457\pi\) |
0.984355 | + | 0.176199i | \(0.0563803\pi\) | |||||||
\(294\) | −2.81266 | + | 23.1643i | −0.164037 | + | 1.35097i | ||||
\(295\) | 0.741973 | + | 6.11070i | 0.0431993 | + | 0.355779i | ||||
\(296\) | −4.00654 | + | 2.53358i | −0.232876 | + | 0.147262i | ||||
\(297\) | −19.3078 | + | 1.55868i | −1.12035 | + | 0.0904441i | ||||
\(298\) | −0.607526 | − | 0.744084i | −0.0351930 | − | 0.0431036i | ||||
\(299\) | −1.39313 | − | 1.23421i | −0.0805668 | − | 0.0713760i | ||||
\(300\) | −5.86318 | − | 3.07723i | −0.338511 | − | 0.177664i | ||||
\(301\) | −2.95465 | + | 2.22027i | −0.170303 | + | 0.127974i | ||||
\(302\) | 0.815737 | + | 1.71913i | 0.0469404 | + | 0.0989248i | ||||
\(303\) | 5.80705 | + | 15.3119i | 0.333606 | + | 0.879648i | ||||
\(304\) | −3.30502 | −0.189556 | ||||||||
\(305\) | 2.69785 | + | 0.664960i | 0.154478 | + | 0.0380755i | ||||
\(306\) | 0.000920262 | 0.0228361i | 5.26079e−5 | 0.00130545i | ||||||
\(307\) | 1.46417 | + | 12.0585i | 0.0835645 | + | 0.688215i | 0.972943 | + | 0.231044i | \(0.0742142\pi\) |
−0.889379 | + | 0.457171i | \(0.848863\pi\) | |||||||
\(308\) | −3.01443 | − | 14.7657i | −0.171763 | − | 0.841352i | ||||
\(309\) | 9.82009 | − | 14.2269i | 0.558645 | − | 0.809337i | ||||
\(310\) | 9.62794 | − | 2.37307i | 0.546830 | − | 0.134782i | ||||
\(311\) | 6.42074 | − | 5.68828i | 0.364087 | − | 0.322553i | −0.461168 | − | 0.887313i | \(-0.652570\pi\) |
0.825255 | + | 0.564760i | \(0.191031\pi\) | |||||||
\(312\) | −8.32586 | − | 1.35308i | −0.471359 | − | 0.0766033i | ||||
\(313\) | 22.5045 | − | 16.9110i | 1.27203 | − | 0.955866i | 0.272048 | − | 0.962284i | \(-0.412299\pi\) |
0.999979 | + | 0.00641754i | \(0.00204278\pi\) | |||||||
\(314\) | −14.0033 | + | 5.96624i | −0.790251 | + | 0.336695i | ||||
\(315\) | −0.191868 | − | 0.100700i | −0.0108105 | − | 0.00567380i | ||||
\(316\) | 5.84887 | + | 3.69860i | 0.329025 | + | 0.208063i | ||||
\(317\) | −14.6637 | + | 30.9030i | −0.823594 | + | 1.73569i | −0.160660 | + | 0.987010i | \(0.551362\pi\) |
−0.662934 | + | 0.748678i | \(0.730689\pi\) | |||||||
\(318\) | 2.51463 | + | 8.68151i | 0.141013 | + | 0.486835i | ||||
\(319\) | 18.9837 | − | 19.7641i | 1.06288 | − | 1.10658i | ||||
\(320\) | 4.18777 | − | 5.12909i | 0.234104 | − | 0.286725i | ||||
\(321\) | 9.50689 | + | 13.7731i | 0.530623 | + | 0.768740i | ||||
\(322\) | 5.09483 | − | 1.70090i | 0.283924 | − | 0.0947877i | ||||
\(323\) | 0.860389 | − | 0.451567i | 0.0478733 | − | 0.0251259i | ||||
\(324\) | 5.57510 | + | 5.80430i | 0.309728 | + | 0.322461i | ||||
\(325\) | −1.37051 | + | 6.71319i | −0.0760221 | + | 0.372381i | ||||
\(326\) | −0.682186 | − | 0.0550717i | −0.0377828 | − | 0.00305014i | ||||
\(327\) | 16.2904 | + | 10.3014i | 0.900859 | + | 0.569668i | ||||
\(328\) | −13.0426 | − | 2.11962i | −0.720154 | − | 0.117036i | ||||
\(329\) | −30.9156 | − | 44.7890i | −1.70443 | − | 2.46930i | ||||
\(330\) | 5.71412 | + | 0.928634i | 0.314552 | + | 0.0511196i | ||||
\(331\) | 6.21594 | + | 16.3901i | 0.341659 | + | 0.900880i | 0.990194 | + | 0.139696i | \(0.0446125\pi\) |
−0.648536 | + | 0.761184i | \(0.724618\pi\) | |||||||
\(332\) | −0.138394 | + | 1.13977i | −0.00759534 | + | 0.0625533i | ||||
\(333\) | −0.0172683 | − | 0.0845856i | −0.000946295 | − | 0.00463526i | ||||
\(334\) | −6.36179 | + | 4.02295i | −0.348102 | + | 0.220126i | ||||
\(335\) | −0.378582 | + | 3.11791i | −0.0206842 | + | 0.170349i | ||||
\(336\) | 6.54184 | − | 8.01230i | 0.356887 | − | 0.437107i | ||||
\(337\) | 10.8782 | + | 13.3233i | 0.592571 | + | 0.725768i | 0.980631 | − | 0.195867i | \(-0.0627520\pi\) |
−0.388060 | + | 0.921634i | \(0.626855\pi\) | |||||||
\(338\) | −1.30563 | − | 10.7529i | −0.0710171 | − | 0.584878i | ||||
\(339\) | −17.5798 | − | 11.1168i | −0.954804 | − | 0.603782i | ||||
\(340\) | −0.0631671 | + | 0.309413i | −0.00342572 | + | 0.0167803i | ||||
\(341\) | −33.9108 | + | 21.4439i | −1.83637 | + | 1.16125i | ||||
\(342\) | 0.0502297 | − | 0.132445i | 0.00271611 | − | 0.00716180i | ||||
\(343\) | 9.57468 | − | 25.2463i | 0.516984 | − | 1.36317i | ||||
\(344\) | 2.50021 | − | 0.201838i | 0.134802 | − | 0.0108824i | ||||
\(345\) | 0.0695500 | − | 1.72587i | 0.00374445 | − | 0.0929175i | ||||
\(346\) | 6.27466 | − | 21.6626i | 0.337328 | − | 1.16459i | ||||
\(347\) | −1.64450 | − | 2.01415i | −0.0882815 | − | 0.108125i | 0.728575 | − | 0.684966i | \(-0.240183\pi\) |
−0.816857 | + | 0.576841i | \(0.804285\pi\) | |||||||
\(348\) | −11.5623 | − | 0.933409i | −0.619807 | − | 0.0500360i | ||||
\(349\) | −34.2500 | − | 11.4343i | −1.83336 | − | 0.612065i | −0.998059 | − | 0.0622711i | \(-0.980166\pi\) |
−0.835300 | − | 0.549794i | \(-0.814706\pi\) | |||||||
\(350\) | −14.8005 | − | 13.1121i | −0.791119 | − | 0.700870i | ||||
\(351\) | 4.24207 | − | 7.34749i | 0.226425 | − | 0.392180i | ||||
\(352\) | −6.11844 | + | 16.1330i | −0.326114 | + | 0.859892i | ||||
\(353\) | 28.1182 | + | 14.7576i | 1.49658 | + | 0.785466i | 0.996742 | − | 0.0806521i | \(-0.0257003\pi\) |
0.499839 | + | 0.866118i | \(0.333393\pi\) | |||||||
\(354\) | 5.39883 | − | 11.3778i | 0.286945 | − | 0.604723i | ||||
\(355\) | 0.758574 | − | 0.672038i | 0.0402609 | − | 0.0356681i | ||||
\(356\) | 6.16232 | − | 4.63069i | 0.326603 | − | 0.245426i | ||||
\(357\) | −0.608299 | + | 2.97965i | −0.0321946 | + | 0.157700i | ||||
\(358\) | 7.50677 | + | 5.64097i | 0.396745 | + | 0.298134i | ||||
\(359\) | 8.51554 | + | 17.9461i | 0.449433 | + | 0.947160i | 0.994096 | + | 0.108505i | \(0.0346063\pi\) |
−0.544663 | + | 0.838655i | \(0.683342\pi\) | |||||||
\(360\) | 0.0735316 | + | 0.127360i | 0.00387546 | + | 0.00671249i | ||||
\(361\) | 12.9355 | − | 1.04426i | 0.680816 | − | 0.0549612i | ||||
\(362\) | −1.53299 | − | 4.04218i | −0.0805724 | − | 0.212452i | ||||
\(363\) | −4.48860 | + | 0.729468i | −0.235590 | + | 0.0382872i | ||||
\(364\) | 6.07244 | + | 2.58723i | 0.318283 | + | 0.135608i | ||||
\(365\) | 2.25420 | 0.117990 | ||||||||
\(366\) | −3.93795 | − | 4.09984i | −0.205840 | − | 0.214302i | ||||
\(367\) | −6.98464 | − | 5.24862i | −0.364595 | − | 0.273976i | 0.402617 | − | 0.915368i | \(-0.368101\pi\) |
−0.767213 | + | 0.641393i | \(0.778357\pi\) | |||||||
\(368\) | −1.50398 | − | 0.370699i | −0.0784005 | − | 0.0193240i | ||||
\(369\) | 0.120321 | − | 0.208402i | 0.00626365 | − | 0.0108490i | ||||
\(370\) | −0.0573771 | + | 1.42380i | −0.00298289 | + | 0.0740197i | ||||
\(371\) | −0.909773 | − | 22.5758i | −0.0472331 | − | 1.17208i | ||||
\(372\) | 16.1092 | + | 5.37803i | 0.835221 | + | 0.278838i | ||||
\(373\) | 6.65079 | − | 2.22036i | 0.344365 | − | 0.114966i | −0.139225 | − | 0.990261i | \(-0.544461\pi\) |
0.483589 | + | 0.875295i | \(0.339333\pi\) | |||||||
\(374\) | 0.183981 | + | 1.51522i | 0.00951345 | + | 0.0783503i | ||||
\(375\) | −12.2789 | + | 6.44448i | −0.634082 | + | 0.332792i | ||||
\(376\) | 1.48726 | + | 36.9060i | 0.0766996 | + | 1.90328i | ||||
\(377\) | 2.40089 | + | 11.7603i | 0.123652 | + | 0.605688i | ||||
\(378\) | 12.2422 | + | 21.2041i | 0.629672 | + | 1.09062i | ||||
\(379\) | −4.24137 | + | 14.6429i | −0.217865 | + | 0.752156i | 0.774900 | + | 0.632083i | \(0.217800\pi\) |
−0.992765 | + | 0.120073i | \(0.961687\pi\) | |||||||
\(380\) | 1.11185 | − | 1.61079i | 0.0570366 | − | 0.0826318i | ||||
\(381\) | −4.94169 | − | 17.0607i | −0.253171 | − | 0.874046i | ||||
\(382\) | 0.772443 | − | 0.190390i | 0.0395216 | − | 0.00974120i | ||||
\(383\) | −17.5503 | + | 4.32576i | −0.896779 | + | 0.221036i | −0.660658 | − | 0.750687i | \(-0.729722\pi\) |
−0.236121 | + | 0.971724i | \(0.575876\pi\) | |||||||
\(384\) | 2.35322 | − | 0.785622i | 0.120087 | − | 0.0400911i | ||||
\(385\) | −13.3135 | − | 5.67237i | −0.678521 | − | 0.289091i | ||||
\(386\) | −18.4225 | + | 16.3209i | −0.937679 | + | 0.830711i | ||||
\(387\) | −0.0127092 | + | 0.0438774i | −0.000646047 | + | 0.00223041i | ||||
\(388\) | 3.33227 | + | 4.08130i | 0.169171 | + | 0.207196i | ||||
\(389\) | −21.4685 | − | 3.48897i | −1.08850 | − | 0.176898i | −0.410425 | − | 0.911894i | \(-0.634620\pi\) |
−0.678071 | + | 0.734997i | \(0.737184\pi\) | |||||||
\(390\) | −1.75645 | + | 1.82866i | −0.0889413 | + | 0.0925977i | ||||
\(391\) | 0.442178 | − | 0.108987i | 0.0223619 | − | 0.00551172i | ||||
\(392\) | −31.6490 | + | 23.7827i | −1.59851 | + | 1.20121i | ||||
\(393\) | −5.09437 | − | 7.38046i | −0.256977 | − | 0.372295i | ||||
\(394\) | −12.1190 | − | 25.5402i | −0.610545 | − | 1.28670i | ||||
\(395\) | 6.11352 | − | 2.60473i | 0.307605 | − | 0.131058i | ||||
\(396\) | −0.139423 | − | 0.123518i | −0.00700628 | − | 0.00620702i | ||||
\(397\) | −27.4597 | − | 2.21678i | −1.37816 | − | 0.111257i | −0.630941 | − | 0.775831i | \(-0.717331\pi\) |
−0.747223 | + | 0.664574i | \(0.768613\pi\) | |||||||
\(398\) | 18.7335 | + | 9.83210i | 0.939025 | + | 0.492839i | ||||
\(399\) | 10.7071 | − | 15.5119i | 0.536025 | − | 0.776566i | ||||
\(400\) | 1.58649 | + | 5.47719i | 0.0793243 | + | 0.273859i | ||||
\(401\) | −20.0037 | − | 12.6496i | −0.998937 | − | 0.631689i | −0.0683120 | − | 0.997664i | \(-0.521761\pi\) |
−0.930625 | + | 0.365975i | \(0.880736\pi\) | |||||||
\(402\) | 4.06396 | − | 4.97744i | 0.202692 | − | 0.248252i | ||||
\(403\) | 0.707598 | − | 17.5589i | 0.0352480 | − | 0.874669i | ||||
\(404\) | −3.72839 | + | 7.85742i | −0.185494 | + | 0.390921i | ||||
\(405\) | 7.62829 | − | 1.23972i | 0.379053 | − | 0.0616021i | ||||
\(406\) | −32.8566 | − | 10.9691i | −1.63064 | − | 0.544389i | ||||
\(407\) | −1.60409 | − | 5.53795i | −0.0795117 | − | 0.274506i | ||||
\(408\) | 1.42975 | − | 1.48853i | 0.0707833 | − | 0.0736932i | ||||
\(409\) | −15.9225 | + | 23.0678i | −0.787318 | + | 1.14063i | 0.199674 | + | 0.979862i | \(0.436012\pi\) |
−0.986993 | + | 0.160765i | \(0.948604\pi\) | |||||||
\(410\) | −2.75150 | + | 2.86461i | −0.135887 | + | 0.141473i | ||||
\(411\) | −17.5230 | + | 18.2434i | −0.864346 | + | 0.899879i | ||||
\(412\) | 9.06194 | − | 1.47271i | 0.446450 | − | 0.0725552i | ||||
\(413\) | −19.9105 | + | 24.3859i | −0.979732 | + | 1.19995i | ||||
\(414\) | 0.0377129 | − | 0.0546366i | 0.00185349 | − | 0.00268524i | ||||
\(415\) | 0.825260 | + | 0.731116i | 0.0405104 | + | 0.0358891i | ||||
\(416\) | −4.29298 | − | 6.21946i | −0.210481 | − | 0.304934i | ||||
\(417\) | 25.4195 | − | 26.4645i | 1.24480 | − | 1.29597i | ||||
\(418\) | 2.63197 | − | 9.08662i | 0.128734 | − | 0.444441i | ||||
\(419\) | 14.6044 | − | 4.87567i | 0.713472 | − | 0.238192i | 0.0633167 | − | 0.997993i | \(-0.479832\pi\) |
0.650155 | + | 0.759802i | \(0.274704\pi\) | |||||||
\(420\) | 1.70426 | + | 5.88378i | 0.0831593 | + | 0.287099i | ||||
\(421\) | 12.4987 | + | 21.6484i | 0.609151 | + | 1.05508i | 0.991381 | + | 0.131013i | \(0.0418228\pi\) |
−0.382230 | + | 0.924067i | \(0.624844\pi\) | |||||||
\(422\) | −14.6263 | + | 7.67646i | −0.711996 | + | 0.373684i | ||||
\(423\) | −0.638044 | − | 0.213011i | −0.0310228 | − | 0.0103569i | ||||
\(424\) | −7.66716 | + | 13.2799i | −0.372350 | + | 0.644930i | ||||
\(425\) | −1.16136 | − | 1.20910i | −0.0563342 | − | 0.0586501i | ||||
\(426\) | −2.04656 | + | 0.332598i | −0.0991561 | + | 0.0161144i | ||||
\(427\) | 7.10534 | + | 12.3068i | 0.343852 | + | 0.595569i | ||||
\(428\) | −1.77783 | + | 8.70840i | −0.0859348 | + | 0.420937i | ||||
\(429\) | 4.39809 | − | 9.26878i | 0.212342 | − | 0.447501i | ||||
\(430\) | 0.377001 | − | 0.652985i | 0.0181806 | − | 0.0314897i | ||||
\(431\) | −3.59027 | − | 0.289837i | −0.172937 | − | 0.0139609i | −0.00630545 | − | 0.999980i | \(-0.502007\pi\) |
−0.166632 | + | 0.986019i | \(0.553289\pi\) | |||||||
\(432\) | 0.284316 | − | 7.05524i | 0.0136792 | − | 0.339445i | ||||
\(433\) | 13.6093 | − | 35.8849i | 0.654023 | − | 1.72452i | −0.0346045 | − | 0.999401i | \(-0.511017\pi\) |
0.688627 | − | 0.725115i | \(-0.258214\pi\) | |||||||
\(434\) | 42.8632 | + | 27.1051i | 2.05750 | + | 1.30109i | ||||
\(435\) | −7.04490 | + | 8.62844i | −0.337777 | + | 0.413702i | ||||
\(436\) | 2.04751 | + | 10.0294i | 0.0980580 | + | 0.480320i | ||||
\(437\) | −2.78603 | − | 0.452774i | −0.133274 | − | 0.0216591i | ||||
\(438\) | −3.89791 | − | 2.46489i | −0.186249 | − | 0.117777i | ||||
\(439\) | 7.37084 | + | 7.67386i | 0.351791 | + | 0.366253i | 0.873461 | − | 0.486894i | \(-0.161870\pi\) |
−0.521670 | + | 0.853147i | \(0.674691\pi\) | |||||||
\(440\) | 5.57934 | + | 8.08307i | 0.265984 | + | 0.385345i | ||||
\(441\) | −0.200588 | − | 0.692509i | −0.00955179 | − | 0.0329766i | ||||
\(442\) | −0.591953 | − | 0.310681i | −0.0281563 | − | 0.0147776i | ||||
\(443\) | −34.9973 | − | 5.68762i | −1.66277 | − | 0.270227i | −0.744922 | − | 0.667151i | \(-0.767513\pi\) |
−0.917851 | + | 0.396924i | \(0.870078\pi\) | |||||||
\(444\) | −1.38636 | + | 2.00849i | −0.0657939 | + | 0.0953189i | ||||
\(445\) | −0.298051 | − | 7.39606i | −0.0141290 | − | 0.350607i | ||||
\(446\) | −4.80490 | − | 12.6695i | −0.227518 | − | 0.599917i | ||||
\(447\) | −1.39889 | − | 0.734193i | −0.0661651 | − | 0.0347261i | ||||
\(448\) | 33.7551 | − | 2.72500i | 1.59478 | − | 0.128744i | ||||
\(449\) | 2.40487 | − | 19.8059i | 0.113493 | − | 0.934698i | −0.819071 | − | 0.573692i | \(-0.805510\pi\) |
0.932564 | − | 0.361006i | \(-0.117566\pi\) | |||||||
\(450\) | −0.243604 | − | 0.0196657i | −0.0114836 | − | 0.000927052i | ||||
\(451\) | 6.88966 | − | 14.5196i | 0.324421 | − | 0.683703i | ||||
\(452\) | −2.20958 | − | 10.8232i | −0.103930 | − | 0.509083i | ||||
\(453\) | 2.34248 | + | 2.07526i | 0.110059 | + | 0.0975042i | ||||
\(454\) | 25.0283 | − | 13.1358i | 1.17463 | − | 0.616496i | ||||
\(455\) | 5.35717 | − | 3.38767i | 0.251148 | − | 0.158816i | ||||
\(456\) | −11.7685 | + | 5.01409i | −0.551110 | + | 0.234806i | ||||
\(457\) | 11.7763 | + | 2.90261i | 0.550874 | + | 0.135778i | 0.504921 | − | 0.863165i | \(-0.331522\pi\) |
0.0459525 | + | 0.998944i | \(0.485368\pi\) | |||||||
\(458\) | 1.52522 | − | 12.5613i | 0.0712687 | − | 0.586950i | ||||
\(459\) | 0.889948 | + | 1.87553i | 0.0415392 | + | 0.0875420i | ||||
\(460\) | 0.686629 | − | 0.608300i | 0.0320142 | − | 0.0283621i | ||||
\(461\) | −12.9525 | + | 15.8639i | −0.603256 | + | 0.738854i | −0.982463 | − | 0.186457i | \(-0.940299\pi\) |
0.379207 | + | 0.925312i | \(0.376197\pi\) | |||||||
\(462\) | 16.8189 | + | 24.3664i | 0.782487 | + | 1.13363i | ||||
\(463\) | 0.664642 | + | 5.47382i | 0.0308885 | + | 0.254390i | 0.999971 | + | 0.00765186i | \(0.00243569\pi\) |
−0.969082 | + | 0.246738i | \(0.920641\pi\) | |||||||
\(464\) | 6.31779 | + | 7.73789i | 0.293296 | + | 0.359222i | ||||
\(465\) | 13.0377 | − | 9.79721i | 0.604610 | − | 0.454335i | ||||
\(466\) | −19.4291 | −0.900034 | ||||||||
\(467\) | −2.24312 | − | 18.4737i | −0.103799 | − | 0.854862i | −0.947876 | − | 0.318640i | \(-0.896774\pi\) |
0.844077 | − | 0.536222i | \(-0.180149\pi\) | |||||||
\(468\) | 0.0792128 | − | 0.0195242i | 0.00366161 | − | 0.000902507i | ||||
\(469\) | −12.8416 | + | 9.64983i | −0.592970 | + | 0.445588i | ||||
\(470\) | 9.38402 | + | 5.93409i | 0.432853 | + | 0.273719i | ||||
\(471\) | −17.3415 | + | 18.0544i | −0.799054 | + | 0.831903i | ||||
\(472\) | 20.2667 | − | 6.76601i | 0.932849 | − | 0.311431i | ||||
\(473\) | −0.610241 | + | 2.98916i | −0.0280589 | + | 0.137442i | ||||
\(474\) | −13.4195 | − | 2.18089i | −0.616379 | − | 0.100171i | ||||
\(475\) | 3.68463 | + | 9.71556i | 0.169062 | + | 0.445781i | ||||
\(476\) | −1.36506 | + | 0.863209i | −0.0625672 | + | 0.0395651i | ||||
\(477\) | −0.176618 | − | 0.216318i | −0.00808679 | − | 0.00990452i | ||||
\(478\) | 1.45772 | − | 7.14040i | 0.0666747 | − | 0.326594i | ||||
\(479\) | −3.10522 | + | 8.18779i | −0.141881 | + | 0.374110i | −0.987055 | − | 0.160382i | \(-0.948728\pi\) |
0.845174 | + | 0.534491i | \(0.179497\pi\) | |||||||
\(480\) | 1.95124 | − | 6.73647i | 0.0890617 | − | 0.307477i | ||||
\(481\) | 2.39532 | + | 0.799674i | 0.109217 | + | 0.0364620i | ||||
\(482\) | 10.2717 | − | 27.0844i | 0.467865 | − | 1.23366i | ||||
\(483\) | 6.61223 | − | 5.85793i | 0.300867 | − | 0.266545i | ||||
\(484\) | −1.93074 | − | 1.45086i | −0.0877608 | − | 0.0659480i | ||||
\(485\) | 5.04316 | − | 0.407126i | 0.228998 | − | 0.0184866i | ||||
\(486\) | 0.551779 | + | 0.235091i | 0.0250292 | + | 0.0106640i | ||||
\(487\) | −27.1346 | − | 20.3903i | −1.22959 | − | 0.923973i | −0.230788 | − | 0.973004i | \(-0.574130\pi\) |
−0.998797 | + | 0.0490307i | \(0.984387\pi\) | |||||||
\(488\) | 0.388349 | − | 9.63678i | 0.0175797 | − | 0.436237i | ||||
\(489\) | −1.06768 | + | 0.356444i | −0.0482822 | + | 0.0161190i | ||||
\(490\) | 0.479176 | + | 11.8906i | 0.0216470 | + | 0.537164i | ||||
\(491\) | −5.94918 | + | 20.5389i | −0.268483 | + | 0.926910i | 0.707070 | + | 0.707144i | \(0.250017\pi\) |
−0.975553 | + | 0.219766i | \(0.929471\pi\) | |||||||
\(492\) | −6.60512 | + | 1.62801i | −0.297782 | + | 0.0733966i | ||||
\(493\) | −2.70193 | − | 1.15119i | −0.121689 | − | 0.0518468i | ||||
\(494\) | 2.62051 | + | 3.20954i | 0.117902 | + | 0.144404i | ||||
\(495\) | −0.173670 | + | 0.0428059i | −0.00780590 | + | 0.00192398i | ||||
\(496\) | −6.26975 | − | 13.2132i | −0.281520 | − | 0.593291i | ||||
\(497\) | 5.16630 | + | 0.417067i | 0.231740 | + | 0.0187080i | ||||
\(498\) | −0.627569 | − | 2.16662i | −0.0281221 | − | 0.0970886i | ||||
\(499\) | 0.0549576 | − | 1.36376i | 0.00246024 | − | 0.0610502i | −0.997492 | − | 0.0707723i | \(-0.977454\pi\) |
0.999953 | + | 0.00972202i | \(0.00309467\pi\) | |||||||
\(500\) | −6.98574 | − | 2.33218i | −0.312412 | − | 0.104298i | ||||
\(501\) | −7.03229 | + | 10.1880i | −0.314180 | + | 0.455168i | ||||
\(502\) | −20.2648 | + | 3.29335i | −0.904462 | + | 0.146989i | ||||
\(503\) | −28.3568 | − | 25.1219i | −1.26437 | − | 1.12013i | −0.987230 | − | 0.159301i | \(-0.949076\pi\) |
−0.277137 | − | 0.960830i | \(-0.589386\pi\) | |||||||
\(504\) | −0.209256 | + | 0.722437i | −0.00932102 | + | 0.0321799i | ||||
\(505\) | 4.17581 | + | 7.23272i | 0.185821 | + | 0.321852i | ||||
\(506\) | 2.21689 | − | 3.83976i | 0.0985526 | − | 0.170698i | ||||
\(507\) | −8.90730 | − | 15.4279i | −0.395587 | − | 0.685177i | ||||
\(508\) | 4.71657 | − | 8.16933i | 0.209264 | − | 0.362455i | ||||
\(509\) | 12.5086 | − | 32.9825i | 0.554435 | − | 1.46192i | −0.305835 | − | 0.952085i | \(-0.598936\pi\) |
0.860270 | − | 0.509839i | \(-0.170295\pi\) | |||||||
\(510\) | −0.124100 | − | 0.607882i | −0.00549524 | − | 0.0269174i | ||||
\(511\) | 7.98626 | + | 8.31457i | 0.353291 | + | 0.367815i | ||||
\(512\) | −12.8139 | − | 6.72523i | −0.566298 | − | 0.297216i | ||||
\(513\) | −0.518082 | − | 12.8561i | −0.0228739 | − | 0.567610i | ||||
\(514\) | 1.97270 | − | 0.159253i | 0.0870123 | − | 0.00702436i | ||||
\(515\) | 3.77941 | − | 7.96493i | 0.166541 | − | 0.350977i | ||||
\(516\) | 1.14345 | − | 0.600130i | 0.0503377 | − | 0.0264193i | ||||
\(517\) | −43.6185 | − | 10.7510i | −1.91834 | − | 0.472828i | ||||
\(518\) | −5.45493 | + | 4.83265i | −0.239676 | + | 0.212334i | ||||
\(519\) | −4.47094 | − | 36.8215i | −0.196253 | − | 1.61629i | ||||
\(520\) | −4.30180 | −0.188646 | ||||||||
\(521\) | −25.7500 | + | 19.3499i | −1.12813 | + | 0.847735i | −0.989773 | − | 0.142648i | \(-0.954438\pi\) |
−0.138356 | + | 0.990383i | \(0.544182\pi\) | |||||||
\(522\) | −0.406106 | + | 0.135578i | −0.0177748 | + | 0.00593409i | ||||
\(523\) | −5.83016 | − | 15.3729i | −0.254935 | − | 0.672209i | −0.999986 | − | 0.00520177i | \(-0.998344\pi\) |
0.745051 | − | 0.667007i | \(-0.232425\pi\) | |||||||
\(524\) | 0.952670 | − | 4.66649i | 0.0416176 | − | 0.203856i | ||||
\(525\) | −30.8465 | − | 10.2981i | −1.34625 | − | 0.449445i | ||||
\(526\) | −1.08093 | − | 0.812263i | −0.0471306 | − | 0.0354164i | ||||
\(527\) | 3.43753 | + | 2.58314i | 0.149741 | + | 0.112523i | ||||
\(528\) | −0.343805 | − | 8.53143i | −0.0149622 | − | 0.371283i | ||||
\(529\) | 19.9425 | + | 8.49670i | 0.867065 | + | 0.369422i | ||||
\(530\) | 1.97604 | + | 4.16442i | 0.0858337 | + | 0.180891i | ||||
\(531\) | −0.0156680 | + | 0.388798i | −0.000679934 | + | 0.0168724i | ||||
\(532\) | 9.88047 | − | 1.60573i | 0.428373 | − | 0.0696173i | ||||
\(533\) | 3.51955 | + | 6.09604i | 0.152449 | + | 0.264049i | ||||
\(534\) | −7.57194 | + | 13.1150i | −0.327670 | + | 0.567541i | ||||
\(535\) | 5.91236 | + | 6.15542i | 0.255614 | + | 0.266122i | ||||
\(536\) | 10.8665 | − | 0.877236i | 0.469362 | − | 0.0378908i | ||||
\(537\) | 14.9945 | + | 3.69582i | 0.647062 | + | 0.159486i | ||||
\(538\) | 7.44926 | 0.321160 | ||||||||
\(539\) | −17.0744 | − | 45.0215i | −0.735446 | − | 1.93921i | ||||
\(540\) | 3.34292 | + | 2.51204i | 0.143856 | + | 0.108101i | ||||
\(541\) | 16.8335 | + | 7.17207i | 0.723727 | + | 0.308351i | 0.722235 | − | 0.691648i | \(-0.243115\pi\) |
0.00149200 | + | 0.999999i | \(0.499525\pi\) | |||||||
\(542\) | −30.3371 | + | 4.93027i | −1.30309 | + | 0.211773i | ||||
\(543\) | −4.92528 | − | 5.12776i | −0.211364 | − | 0.220053i | ||||
\(544\) | 1.84915 | 0.0792816 | ||||||||
\(545\) | 9.04304 | + | 3.85288i | 0.387361 | + | 0.165039i | ||||
\(546\) | −12.9678 | −0.554970 | ||||||||
\(547\) | −14.5025 | − | 18.3487i | −0.620084 | − | 0.784535i | ||||
\(548\) | −13.4342 | −0.573881 | ||||||||
\(549\) | 0.161588 | + | 0.0688464i | 0.00689642 | + | 0.00293829i | ||||
\(550\) | −16.3221 | −0.695976 | ||||||||
\(551\) | 12.6095 | + | 13.1279i | 0.537185 | + | 0.559269i | ||||
\(552\) | −5.91778 | + | 0.961732i | −0.251877 | + | 0.0409340i | ||||
\(553\) | 31.2667 | + | 13.3215i | 1.32959 | + | 0.566487i | ||||
\(554\) | −6.42828 | − | 4.83054i | −0.273111 | − | 0.205230i | ||||
\(555\) | 0.831035 | + | 2.19126i | 0.0352755 | + | 0.0930138i | ||||
\(556\) | 19.4882 | 0.826482 | ||||||||
\(557\) | 9.96566 | + | 2.45631i | 0.422258 | + | 0.104077i | 0.444719 | − | 0.895670i | \(-0.353304\pi\) |
−0.0224601 | + | 0.999748i | \(0.507150\pi\) | |||||||
\(558\) | 0.624794 | − | 0.0504386i | 0.0264496 | − | 0.00213524i | ||||
\(559\) | −0.925639 | − | 0.963692i | −0.0391503 | − | 0.0407598i | ||||
\(560\) | 2.63759 | − | 4.56844i | 0.111458 | − | 0.193052i | ||||
\(561\) | 1.25516 | + | 2.17400i | 0.0529929 | + | 0.0917863i | ||||
\(562\) | 4.21103 | − | 0.684358i | 0.177631 | − | 0.0288679i | ||||
\(563\) | −0.292666 | + | 7.26243i | −0.0123344 | + | 0.306075i | 0.981233 | + | 0.192828i | \(0.0617660\pi\) |
−0.993567 | + | 0.113247i | \(0.963875\pi\) | |||||||
\(564\) | 8.15191 | + | 17.1798i | 0.343257 | + | 0.723399i | ||||
\(565\) | −9.75884 | − | 4.15785i | −0.410557 | − | 0.174922i | ||||
\(566\) | −0.0405386 | − | 1.00595i | −0.00170396 | − | 0.0422834i | ||||
\(567\) | 31.5984 | + | 23.7447i | 1.32701 | + | 0.997183i | ||||
\(568\) | −2.81221 | − | 2.11324i | −0.117998 | − | 0.0886694i | ||||
\(569\) | 3.57785 | + | 1.19446i | 0.149991 | + | 0.0500744i | 0.390672 | − | 0.920530i | \(-0.372243\pi\) |
−0.240681 | + | 0.970604i | \(0.577371\pi\) | |||||||
\(570\) | −0.769155 | + | 3.76757i | −0.0322164 | + | 0.157806i | ||||
\(571\) | −15.4639 | − | 40.7749i | −0.647143 | − | 1.70638i | −0.706096 | − | 0.708116i | \(-0.749545\pi\) |
0.0589531 | − | 0.998261i | \(-0.481224\pi\) | |||||||
\(572\) | 5.16817 | − | 1.72539i | 0.216092 | − | 0.0721421i | ||||
\(573\) | 1.04601 | − | 0.786023i | 0.0436976 | − | 0.0328366i | ||||
\(574\) | −20.3142 | −0.847897 | ||||||||
\(575\) | 0.587008 | + | 4.83445i | 0.0244799 | + | 0.201610i | ||||
\(576\) | 0.313304 | − | 0.277563i | 0.0130543 | − | 0.0115651i | ||||
\(577\) | −4.97945 | − | 1.22733i | −0.207297 | − | 0.0510942i | 0.134299 | − | 0.990941i | \(-0.457122\pi\) |
−0.341597 | + | 0.939847i | \(0.610968\pi\) | |||||||
\(578\) | −15.5610 | + | 8.16703i | −0.647251 | + | 0.339704i | ||||
\(579\) | −17.3528 | + | 36.5703i | −0.721159 | + | 1.51981i | ||||
\(580\) | −5.89666 | + | 0.476028i | −0.244845 | + | 0.0197660i | ||||
\(581\) | 0.227050 | + | 5.63418i | 0.00941961 | + | 0.233745i | ||||
\(582\) | −9.16569 | − | 4.81052i | −0.379930 | − | 0.199403i | ||||
\(583\) | −12.9197 | − | 13.4509i | −0.535080 | − | 0.557078i | ||||
\(584\) | −1.56508 | − | 7.66629i | −0.0647637 | − | 0.317233i | ||||
\(585\) | 0.0277806 | − | 0.0732515i | 0.00114859 | − | 0.00302858i | ||||
\(586\) | 1.00486 | − | 1.74047i | 0.0415105 | − | 0.0718983i | ||||
\(587\) | 7.93153 | + | 13.7378i | 0.327369 | + | 0.567020i | 0.981989 | − | 0.188938i | \(-0.0605046\pi\) |
−0.654620 | + | 0.755958i | \(0.727171\pi\) | |||||||
\(588\) | −10.1908 | + | 17.6509i | −0.420259 | + | 0.727911i | ||||
\(589\) | −13.3251 | − | 23.0798i | −0.549053 | − | 0.950987i | ||||
\(590\) | 1.78689 | − | 6.16906i | 0.0735651 | − | 0.253976i | ||||
\(591\) | −34.8010 | − | 30.8310i | −1.43152 | − | 1.26822i | ||||
\(592\) | 2.07446 | − | 0.337132i | 0.0852596 | − | 0.0138560i | ||||
\(593\) | −12.9663 | + | 18.7849i | −0.532461 | + | 0.771403i | −0.993236 | − | 0.116114i | \(-0.962956\pi\) |
0.460775 | + | 0.887517i | \(0.347572\pi\) | |||||||
\(594\) | 19.1709 | + | 6.40017i | 0.786590 | + | 0.262602i | ||||
\(595\) | −0.0624495 | + | 1.54967i | −0.00256018 | + | 0.0635302i | ||||
\(596\) | −0.233434 | − | 0.805909i | −0.00956185 | − | 0.0330113i | ||||
\(597\) | 34.6829 | + | 2.79989i | 1.41948 | + | 0.114592i | ||||
\(598\) | 0.832501 | + | 1.75446i | 0.0340435 | + | 0.0717451i | ||||
\(599\) | 5.03355 | − | 1.24066i | 0.205665 | − | 0.0506920i | −0.135137 | − | 0.990827i | \(-0.543147\pi\) |
0.340802 | + | 0.940135i | \(0.389301\pi\) | |||||||
\(600\) | 13.9587 | + | 17.0963i | 0.569861 | + | 0.697953i | ||||
\(601\) | 5.66565 | + | 2.41391i | 0.231107 | + | 0.0984654i | 0.504416 | − | 0.863461i | \(-0.331708\pi\) |
−0.273309 | + | 0.961926i | \(0.588118\pi\) | |||||||
\(602\) | 3.74418 | − | 0.922856i | 0.152601 | − | 0.0376128i | ||||
\(603\) | −0.0552374 | + | 0.190701i | −0.00224944 | + | 0.00776596i | ||||
\(604\) | 0.0669238 | + | 1.66070i | 0.00272309 | + | 0.0675728i | ||||
\(605\) | −2.19981 | + | 0.734405i | −0.0894351 | + | 0.0298578i | ||||
\(606\) | 0.688008 | − | 17.0727i | 0.0279484 | − | 0.693533i | ||||
\(607\) | 7.68807 | + | 5.77721i | 0.312049 | + | 0.234490i | 0.745215 | − | 0.666825i | \(-0.232347\pi\) |
−0.433166 | + | 0.901314i | \(0.642603\pi\) | |||||||
\(608\) | −10.5437 | − | 4.49224i | −0.427603 | − | 0.182185i | ||||
\(609\) | −56.7848 | + | 4.58414i | −2.30103 | + | 0.185759i | ||||
\(610\) | −2.31770 | − | 1.74164i | −0.0938409 | − | 0.0705168i | ||||
\(611\) | 14.7279 | − | 13.0478i | 0.595827 | − | 0.527857i | ||||
\(612\) | −0.00707876 | + | 0.0186652i | −0.000286142 | + | 0.000754495i | ||||
\(613\) | −35.9591 | − | 12.0049i | −1.45237 | − | 0.484874i | −0.522465 | − | 0.852661i | \(-0.674987\pi\) |
−0.929910 | + | 0.367787i | \(0.880116\pi\) | |||||||
\(614\) | 3.52615 | − | 12.1737i | 0.142304 | − | 0.491290i | ||||
\(615\) | −2.31647 | + | 6.10804i | −0.0934092 | + | 0.246300i | ||||
\(616\) | −10.0476 | + | 49.2162i | −0.404828 | + | 1.98298i | ||||
\(617\) | 21.4914 | + | 26.3222i | 0.865213 | + | 1.05969i | 0.997651 | + | 0.0685020i | \(0.0218219\pi\) |
−0.132438 | + | 0.991191i | \(0.542281\pi\) | |||||||
\(618\) | −15.2446 | + | 9.64012i | −0.613229 | + | 0.387782i | ||||
\(619\) | −1.63358 | − | 4.30739i | −0.0656590 | − | 0.173129i | 0.898171 | − | 0.439646i | \(-0.144896\pi\) |
−0.963830 | + | 0.266518i | \(0.914127\pi\) | |||||||
\(620\) | 8.54906 | + | 1.38936i | 0.343338 | + | 0.0557979i | ||||
\(621\) | 1.20621 | − | 5.90841i | 0.0484036 | − | 0.237096i | ||||
\(622\) | −8.48958 | + | 2.83424i | −0.340401 | + | 0.113643i | ||||
\(623\) | 26.2243 | − | 27.3024i | 1.05065 | − | 1.09385i | ||||
\(624\) | 3.16078 | + | 1.99875i | 0.126532 | + | 0.0800142i | ||||
\(625\) | 11.2709 | − | 8.46952i | 0.450836 | − | 0.338781i | ||||
\(626\) | −28.5180 | + | 7.02906i | −1.13981 | + | 0.280938i | ||||
\(627\) | −1.87538 | − | 15.4452i | −0.0748957 | − | 0.616821i | ||||
\(628\) | −13.2951 | −0.530531 | ||||||||
\(629\) | −0.493977 | + | 0.371200i | −0.0196962 | + | 0.0148007i | ||||
\(630\) | 0.142989 | + | 0.175130i | 0.00569682 | + | 0.00697734i | ||||
\(631\) | 1.96792 | + | 16.2073i | 0.0783418 | + | 0.645203i | 0.978000 | + | 0.208607i | \(0.0668929\pi\) |
−0.899658 | + | 0.436596i | \(0.856184\pi\) | |||||||
\(632\) | −13.1030 | − | 18.9830i | −0.521209 | − | 0.755102i | ||||
\(633\) | −17.1816 | + | 21.0437i | −0.682908 | + | 0.836410i | ||||
\(634\) | 26.7140 | − | 23.6666i | 1.06095 | − | 0.939920i | ||||
\(635\) | −3.88327 | − | 8.18381i | −0.154103 | − | 0.324765i | ||||
\(636\) | −0.951585 | + | 7.83701i | −0.0377328 | + | 0.310758i | ||||
\(637\) | 20.4767 | + | 5.04704i | 0.811315 | + | 0.199971i | ||||
\(638\) | −26.3053 | + | 11.2077i | −1.04144 | + | 0.443715i | ||||
\(639\) | 0.0541454 | − | 0.0342395i | 0.00214196 | − | 0.00135449i | ||||
\(640\) | 1.12031 | − | 0.587981i | 0.0442839 | − | 0.0232420i | ||||
\(641\) | 10.5829 | + | 9.37559i | 0.417998 | + | 0.370314i | 0.845747 | − | 0.533584i | \(-0.179155\pi\) |
−0.427750 | + | 0.903897i | \(0.640694\pi\) | |||||||
\(642\) | −3.49278 | − | 17.1088i | −0.137849 | − | 0.675229i | ||||
\(643\) | −13.4264 | + | 28.2955i | −0.529485 | + | 1.11587i | 0.445844 | + | 0.895111i | \(0.352904\pi\) |
−0.975329 | + | 0.220756i | \(0.929148\pi\) | |||||||
\(644\) | 4.67632 | + | 0.377511i | 0.184273 | + | 0.0148760i | ||||
\(645\) | 0.149474 | − | 1.23103i | 0.00588554 | − | 0.0484718i | ||||
\(646\) | −1.01056 | + | 0.0815809i | −0.0397600 | + | 0.00320976i | ||||
\(647\) | 42.3580 | + | 22.2312i | 1.66526 | + | 0.873997i | 0.990745 | + | 0.135739i | \(0.0433410\pi\) |
0.674518 | + | 0.738258i | \(0.264351\pi\) | |||||||
\(648\) | −9.51245 | − | 25.0823i | −0.373684 | − | 0.985324i | ||||
\(649\) | 1.04639 | + | 25.9660i | 0.0410745 | + | 1.01925i | ||||
\(650\) | 4.06105 | − | 5.88345i | 0.159288 | − | 0.230768i | ||||
\(651\) | 82.3273 | + | 13.3795i | 3.22666 | + | 0.524384i | ||||
\(652\) | −0.529321 | − | 0.277809i | −0.0207298 | − | 0.0108798i | ||||
\(653\) | 9.66813 | + | 33.3783i | 0.378343 | + | 1.30619i | 0.893487 | + | 0.449089i | \(0.148251\pi\) |
−0.515144 | + | 0.857104i | \(0.672262\pi\) | |||||||
\(654\) | −11.4240 | − | 16.5505i | −0.446714 | − | 0.647177i | ||||
\(655\) | −3.16820 | − | 3.29845i | −0.123792 | − | 0.128881i | ||||
\(656\) | 4.95139 | + | 3.13107i | 0.193319 | + | 0.122248i | ||||
\(657\) | 0.140650 | + | 0.0228578i | 0.00548727 | + | 0.000891768i | ||||
\(658\) | 11.3582 | + | 55.6363i | 0.442790 | + | 2.16893i | ||||
\(659\) | 26.8017 | − | 32.8262i | 1.04405 | − | 1.27873i | 0.0847281 | − | 0.996404i | \(-0.472998\pi\) |
0.959320 | − | 0.282322i | \(-0.0911047\pi\) | |||||||
\(660\) | 4.27369 | + | 2.70252i | 0.166353 | + | 0.105195i | ||||
\(661\) | −4.30233 | + | 11.3443i | −0.167341 | + | 0.441242i | −0.992286 | − | 0.123971i | \(-0.960437\pi\) |
0.824945 | + | 0.565213i | \(0.191206\pi\) | |||||||
\(662\) | 0.736452 | − | 18.2749i | 0.0286230 | − | 0.710273i | ||||
\(663\) | −1.09593 | − | 0.0884728i | −0.0425625 | − | 0.00343600i | ||||
\(664\) | 1.91347 | − | 3.31423i | 0.0742571 | − | 0.128617i | ||||
\(665\) | 4.12078 | − | 8.68437i | 0.159797 | − | 0.336765i | ||||
\(666\) | −0.0180175 | + | 0.0882554i | −0.000698162 | + | 0.00341983i | ||||
\(667\) | 4.26565 | + | 7.38833i | 0.165167 | + | 0.286077i | ||||
\(668\) | −6.48938 | + | 1.05463i | −0.251081 | + | 0.0408047i | ||||
\(669\) | −15.4374 | − | 16.0720i | −0.596844 | − | 0.621381i | ||||
\(670\) | 1.63854 | − | 2.83803i | 0.0633022 | − | 0.109643i | ||||
\(671\) | 11.1267 | + | 3.71464i | 0.429542 | + | 0.143402i | ||||
\(672\) | 31.7603 | − | 16.6691i | 1.22518 | − | 0.643024i | ||||
\(673\) | 13.0514 | + | 22.6057i | 0.503094 | + | 0.871385i | 0.999994 | + | 0.00357665i | \(0.00113848\pi\) |
−0.496899 | + | 0.867808i | \(0.665528\pi\) | |||||||
\(674\) | −4.99300 | − | 17.2378i | −0.192323 | − | 0.663976i | ||||
\(675\) | −21.0569 | + | 7.02981i | −0.810479 | + | 0.270578i | ||||
\(676\) | 2.63224 | − | 9.08754i | 0.101240 | − | 0.349521i | ||||
\(677\) | 6.29725 | − | 6.55613i | 0.242023 | − | 0.251973i | −0.589101 | − | 0.808059i | \(-0.700518\pi\) |
0.831124 | + | 0.556086i | \(0.187698\pi\) | |||||||
\(678\) | 12.3283 | + | 17.8606i | 0.473465 | + | 0.685932i | ||||
\(679\) | 19.3688 | + | 17.1592i | 0.743305 | + | 0.658510i | ||||
\(680\) | 0.597941 | − | 0.866267i | 0.0229300 | − | 0.0332198i | ||||
\(681\) | 29.4009 | − | 36.0096i | 1.12665 | − | 1.37989i | ||||
\(682\) | 41.3207 | − | 6.71526i | 1.58225 | − | 0.257141i | ||||
\(683\) | 22.2156 | − | 23.1289i | 0.850058 | − | 0.885004i | −0.144466 | − | 0.989510i | \(-0.546146\pi\) |
0.994524 | + | 0.104505i | \(0.0333260\pi\) | |||||||
\(684\) | 0.0857068 | − | 0.0892303i | 0.00327708 | − | 0.00341181i | ||||
\(685\) | −7.32834 | + | 10.6169i | −0.280002 | + | 0.405652i | ||||
\(686\) | −19.5157 | + | 20.3180i | −0.745114 | + | 0.775746i | ||||
\(687\) | −5.78990 | − | 19.9890i | −0.220898 | − | 0.762629i | ||||
\(688\) | −1.05485 | − | 0.352161i | −0.0402158 | − | 0.0134260i | ||||
\(689\) | 8.06302 | − | 1.31037i | 0.307176 | − | 0.0499210i | ||||
\(690\) | −0.772592 | + | 1.62820i | −0.0294121 | + | 0.0619847i | ||||
\(691\) | −0.744769 | + | 18.4812i | −0.0283323 | + | 0.703060i | 0.921144 | + | 0.389222i | \(0.127256\pi\) |
−0.949476 | + | 0.313838i | \(0.898385\pi\) | |||||||
\(692\) | 12.4586 | − | 15.2590i | 0.473603 | − | 0.580058i | ||||
\(693\) | −0.773174 | − | 0.488925i | −0.0293704 | − | 0.0185727i | ||||
\(694\) | 0.754815 | + | 2.60592i | 0.0286524 | + | 0.0989195i | ||||
\(695\) | 10.6308 | − | 15.4013i | 0.403248 | − | 0.584205i | ||||
\(696\) | 34.2357 | + | 17.9683i | 1.29770 | + | 0.681085i | ||||
\(697\) | −1.71679 | − | 0.138593i | −0.0650280 | − | 0.00524960i | ||||
\(698\) | 28.2000 | + | 24.9830i | 1.06739 | + | 0.945621i | ||||
\(699\) | −29.3971 | + | 12.5249i | −1.11190 | + | 0.473736i | ||||
\(700\) | −7.40394 | − | 15.6035i | −0.279842 | − | 0.589756i | ||||
\(701\) | 7.70183 | + | 11.1580i | 0.290894 | + | 0.421433i | 0.940998 | − | 0.338413i | \(-0.109890\pi\) |
−0.650104 | + | 0.759846i | \(0.725275\pi\) | |||||||
\(702\) | −7.07685 | + | 5.31791i | −0.267099 | + | 0.200712i | ||||
\(703\) | 3.71839 | − | 0.916501i | 0.140242 | − | 0.0345665i | ||||
\(704\) | 19.3646 | − | 20.1607i | 0.729831 | − | 0.759834i | ||||
\(705\) | 18.0239 | + | 2.92916i | 0.678818 | + | 0.110319i | ||||
\(706\) | −20.9550 | − | 25.6653i | −0.788653 | − | 0.965925i | ||||
\(707\) | −11.8835 | + | 41.0267i | −0.446926 | + | 1.54297i | ||||
\(708\) | 8.23361 | − | 7.29434i | 0.309438 | − | 0.274138i | ||||
\(709\) | 21.1531 | + | 9.01251i | 0.794423 | + | 0.338472i | 0.750761 | − | 0.660574i | \(-0.229687\pi\) |
0.0436622 | + | 0.999046i | \(0.486097\pi\) | |||||||
\(710\) | −1.00300 | + | 0.334849i | −0.0376417 | + | 0.0125667i | ||||
\(711\) | 0.407862 | − | 0.100529i | 0.0152960 | − | 0.00377013i | ||||
\(712\) | −24.9463 | + | 6.14870i | −0.934901 | + | 0.230432i | ||||
\(713\) | −3.47506 | − | 11.9973i | −0.130142 | − | 0.449302i | ||||
\(714\) | 1.80249 | − | 2.61136i | 0.0674567 | − | 0.0977278i | ||||
\(715\) | 1.45567 | − | 5.02555i | 0.0544389 | − | 0.187945i | ||||
\(716\) | 4.10085 | + | 7.10289i | 0.153256 | + | 0.265447i | ||||
\(717\) | −2.39745 | − | 11.7435i | −0.0895344 | − | 0.438568i | ||||
\(718\) | −0.834543 | − | 20.7090i | −0.0311449 | − | 0.772852i | ||||
\(719\) | −32.4683 | + | 17.0407i | −1.21086 | + | 0.635510i | −0.944547 | − | 0.328376i | \(-0.893499\pi\) |
−0.266315 | + | 0.963886i | \(0.585806\pi\) | |||||||
\(720\) | −0.00785910 | − | 0.0647255i | −0.000292891 | − | 0.00241218i | ||||
\(721\) | 42.7683 | − | 14.2782i | 1.59277 | − | 0.531746i | ||||
\(722\) | −12.8438 | − | 4.28788i | −0.477996 | − | 0.159579i | ||||
\(723\) | −1.91828 | − | 47.6016i | −0.0713415 | − | 1.77032i | ||||
\(724\) | 0.152045 | − | 3.77296i | 0.00565071 | − | 0.140221i | ||||
\(725\) | 15.7032 | − | 27.1987i | 0.583201 | − | 1.01013i | ||||
\(726\) | 4.60691 | + | 1.13550i | 0.170978 | + | 0.0421424i | ||||
\(727\) | 3.02359 | + | 2.27208i | 0.112139 | + | 0.0842667i | 0.655332 | − | 0.755341i | \(-0.272529\pi\) |
−0.543194 | + | 0.839607i | \(0.682785\pi\) | |||||||
\(728\) | −15.2406 | − | 15.8671i | −0.564853 | − | 0.588074i | ||||
\(729\) | 27.4794 | 1.01775 | ||||||||
\(730\) | −2.16379 | − | 0.921905i | −0.0800855 | − | 0.0341212i | ||||
\(731\) | 0.322724 | − | 0.0524477i | 0.0119364 | − | 0.00193985i | ||||
\(732\) | −1.76073 | − | 4.64267i | −0.0650785 | − | 0.171598i | ||||
\(733\) | 44.0409 | − | 3.55535i | 1.62669 | − | 0.131320i | 0.766830 | − | 0.641851i | \(-0.221833\pi\) |
0.859860 | + | 0.510531i | \(0.170551\pi\) | |||||||
\(734\) | 4.55797 | + | 7.89464i | 0.168238 | + | 0.291396i | ||||
\(735\) | 8.39030 | + | 17.6822i | 0.309481 | + | 0.652217i | ||||
\(736\) | −4.29416 | − | 3.22685i | −0.158285 | − | 0.118943i | ||||
\(737\) | −2.65225 | + | 12.9916i | −0.0976970 | + | 0.478552i | ||||
\(738\) | −0.200726 | + | 0.150836i | −0.00738882 | + | 0.00555234i | ||||
\(739\) | −9.19909 | + | 8.14968i | −0.338394 | + | 0.299791i | −0.815156 | − | 0.579242i | \(-0.803349\pi\) |
0.476762 | + | 0.879032i | \(0.341810\pi\) | |||||||
\(740\) | −0.533563 | + | 1.12446i | −0.0196142 | + | 0.0413359i | ||||
\(741\) | 6.03398 | + | 3.16687i | 0.221664 | + | 0.116338i | ||||
\(742\) | −8.35959 | + | 22.0424i | −0.306890 | + | 0.809203i | ||||
\(743\) | −5.81770 | + | 10.0766i | −0.213431 | + | 0.369673i | −0.952786 | − | 0.303643i | \(-0.901797\pi\) |
0.739355 | + | 0.673316i | \(0.235130\pi\) | |||||||
\(744\) | −42.3713 | − | 37.5377i | −1.55341 | − | 1.37620i | ||||
\(745\) | −0.764240 | − | 0.255141i | −0.0279996 | − | 0.00934764i | ||||
\(746\) | −7.29212 | − | 0.588680i | −0.266983 | − | 0.0215531i | ||||
\(747\) | 0.0440781 | + | 0.0539859i | 0.00161273 | + | 0.00197524i | ||||
\(748\) | −0.370918 | + | 1.28056i | −0.0135621 | + | 0.0468218i | ||||
\(749\) | −1.75764 | + | 43.6153i | −0.0642226 | + | 1.59367i | ||||
\(750\) | 14.4221 | − | 1.16427i | 0.526620 | − | 0.0425132i | ||||
\(751\) | 4.35008 | − | 11.4702i | 0.158737 | − | 0.418555i | −0.831927 | − | 0.554886i | \(-0.812762\pi\) |
0.990663 | + | 0.136331i | \(0.0435312\pi\) | |||||||
\(752\) | 5.80689 | − | 15.3115i | 0.211756 | − | 0.558353i | ||||
\(753\) | −28.5385 | + | 18.0467i | −1.04000 | + | 0.657657i | ||||
\(754\) | 2.50505 | − | 12.2706i | 0.0912286 | − | 0.446867i | ||||
\(755\) | 1.34894 | + | 0.853018i | 0.0490930 | + | 0.0310445i | ||||
\(756\) | 2.57779 | + | 21.2300i | 0.0937534 | + | 0.772129i | ||||
\(757\) | −26.1173 | − | 31.9879i | −0.949249 | − | 1.16262i | −0.986574 | − | 0.163315i | \(-0.947781\pi\) |
0.0373253 | − | 0.999303i | \(-0.488116\pi\) | |||||||
\(758\) | 10.0598 | − | 12.3210i | 0.365389 | − | 0.447520i | ||||
\(759\) | 0.878955 | − | 7.23885i | 0.0319040 | − | 0.262753i | ||||
\(760\) | −5.51388 | + | 3.48677i | −0.200009 | + | 0.126478i | ||||
\(761\) | 9.60389 | + | 47.0430i | 0.348141 | + | 1.70531i | 0.656743 | + | 0.754115i | \(0.271934\pi\) |
−0.308602 | + | 0.951191i | \(0.599861\pi\) | |||||||
\(762\) | −2.23386 | + | 18.3975i | −0.0809241 | + | 0.666470i | ||||
\(763\) | 17.8267 | + | 47.0052i | 0.645370 | + | 1.70170i | ||||
\(764\) | 0.685885 | + | 0.111467i | 0.0248144 | + | 0.00403274i | ||||
\(765\) | 0.0108895 | + | 0.0157761i | 0.000393709 | + | 0.000570386i | ||||
\(766\) | 18.6155 | + | 3.02532i | 0.672607 | + | 0.109309i | ||||
\(767\) | −9.62003 | − | 6.08334i | −0.347359 | − | 0.219657i | ||||
\(768\) | −28.4634 | − | 2.29781i | −1.02709 | − | 0.0829149i | ||||
\(769\) | −3.25824 | + | 15.9599i | −0.117495 | + | 0.575529i | 0.877832 | + | 0.478969i | \(0.158989\pi\) |
−0.995327 | + | 0.0965605i | \(0.969216\pi\) | |||||||
\(770\) | 10.4597 | + | 10.8897i | 0.376943 | + | 0.392439i | ||||
\(771\) | 2.88213 | − | 1.51266i | 0.103797 | − | 0.0544771i | ||||
\(772\) | −20.3912 | + | 6.80758i | −0.733895 | + | 0.245010i | ||||
\(773\) | 12.1910 | + | 17.6618i | 0.438481 | + | 0.635249i | 0.978462 | − | 0.206428i | \(-0.0661839\pi\) |
−0.539981 | + | 0.841677i | \(0.681569\pi\) | |||||||
\(774\) | 0.0301441 | − | 0.0369199i | 0.00108351 | − | 0.00132706i | ||||
\(775\) | −31.8523 | + | 33.1617i | −1.14417 | + | 1.19120i | ||||
\(776\) | −4.88604 | − | 16.8686i | −0.175399 | − | 0.605547i | ||||
\(777\) | −5.13820 | + | 10.8285i | −0.184332 | + | 0.388471i | ||||
\(778\) | 19.1806 | + | 12.1291i | 0.687656 | + | 0.434848i | ||||
\(779\) | 9.45228 | + | 4.96094i | 0.338663 | + | 0.177744i | ||||
\(780\) | −2.03747 | + | 0.868087i | −0.0729533 | + | 0.0310825i | ||||
\(781\) | 3.42039 | − | 2.57025i | 0.122391 | − | 0.0919709i | ||||
\(782\) | −0.469017 | − | 0.0762226i | −0.0167720 | − | 0.00272572i | ||||
\(783\) | −29.1090 | + | 25.7884i | −1.04027 | + | 0.921600i | ||||
\(784\) | 17.0418 | − | 4.20042i | 0.608635 | − | 0.150015i | ||||
\(785\) | −7.25244 | + | 10.5070i | −0.258851 | + | 0.375010i | ||||
\(786\) | 1.87164 | + | 9.16791i | 0.0667593 | + | 0.327009i | ||||
\(787\) | 1.27749 | + | 10.5211i | 0.0455376 | + | 0.375036i | 0.997606 | + | 0.0691514i | \(0.0220291\pi\) |
−0.952069 | + | 0.305885i | \(0.901048\pi\) | |||||||
\(788\) | −0.994251 | − | 24.6721i | −0.0354187 | − | 0.878907i | ||||
\(789\) | −2.15912 | − | 0.532174i | −0.0768666 | − | 0.0189459i | ||||
\(790\) | −6.93359 | −0.246686 | ||||||||
\(791\) | −19.2378 | − | 50.7259i | −0.684017 | − | 1.80360i | ||||
\(792\) | 0.266157 | + | 0.560914i | 0.00945748 | + | 0.0199312i | ||||
\(793\) | −4.10738 | + | 3.08650i | −0.145857 | + | 0.109605i | ||||
\(794\) | 25.4518 | + | 13.3581i | 0.903251 | + | 0.474063i | ||||
\(795\) | 5.67443 | + | 5.02710i | 0.201251 | + | 0.178293i | ||||
\(796\) | 11.6873 | + | 14.3143i | 0.414245 | + | 0.507358i | ||||
\(797\) | −32.4919 | + | 2.62302i | −1.15092 | + | 0.0929121i | −0.641163 | − | 0.767404i | \(-0.721548\pi\) |
−0.509760 | + | 0.860317i | \(0.670266\pi\) | |||||||
\(798\) | −16.6216 | + | 10.5109i | −0.588398 | + | 0.372081i | ||||
\(799\) | 0.580327 | + | 4.77942i | 0.0205305 | + | 0.169084i | ||||
\(800\) | −2.38348 | + | 19.6297i | −0.0842688 | + | 0.694016i | ||||
\(801\) | 0.0564000 | − | 0.464496i | 0.00199280 | − | 0.0164122i | ||||
\(802\) | 14.0281 | + | 20.3232i | 0.495349 | + | 0.717637i | ||||
\(803\) | 9.48571 | + | 0.765766i | 0.334743 | + | 0.0270233i | ||||
\(804\) | 4.96972 | − | 2.60831i | 0.175268 | − | 0.0919880i | ||||
\(805\) | 2.84927 | − | 3.48972i | 0.100423 | − | 0.122996i | ||||
\(806\) | −7.86030 | + | 16.5652i | −0.276867 | + | 0.583486i | ||||
\(807\) | 11.2711 | − | 4.80215i | 0.396760 | − | 0.169044i | ||||
\(808\) | 21.6984 | − | 19.2231i | 0.763349 | − | 0.676268i | ||||
\(809\) | 6.30985 | + | 30.9077i | 0.221842 | + | 1.08666i | 0.926264 | + | 0.376874i | \(0.123001\pi\) |
−0.704422 | + | 0.709781i | \(0.748794\pi\) | |||||||
\(810\) | −7.82935 | − | 1.92976i | −0.275095 | − | 0.0678049i | ||||
\(811\) | −19.4330 | − | 40.9542i | −0.682385 | − | 1.43810i | −0.888177 | − | 0.459501i | \(-0.848028\pi\) |
0.205792 | − | 0.978596i | \(-0.434023\pi\) | |||||||
\(812\) | −22.6467 | − | 20.0632i | −0.794744 | − | 0.704081i | ||||
\(813\) | −42.7232 | + | 27.0165i | −1.49837 | + | 0.947511i | ||||
\(814\) | −0.725116 | + | 5.97187i | −0.0254153 | + | 0.209314i | ||||
\(815\) | −0.508293 | + | 0.266773i | −0.0178047 | + | 0.00934465i | ||||
\(816\) | −0.841837 | + | 0.358673i | −0.0294702 | + | 0.0125561i | ||||
\(817\) | −1.96756 | − | 0.484959i | −0.0688361 | − | 0.0169666i | ||||
\(818\) | 24.7180 | − | 15.6307i | 0.864245 | − | 0.546515i | ||||
\(819\) | 0.368609 | − | 0.157050i | 0.0128802 | − | 0.00548776i | ||||
\(820\) | −3.19172 | + | 1.35987i | −0.111460 | + | 0.0474886i | ||||
\(821\) | 6.72003 | − | 2.86314i | 0.234531 | − | 0.0999242i | −0.271504 | − | 0.962437i | \(-0.587521\pi\) |
0.506035 | + | 0.862513i | \(0.331111\pi\) | |||||||
\(822\) | 24.2812 | − | 10.3453i | 0.846905 | − | 0.360833i | ||||
\(823\) | 3.77344 | − | 2.38618i | 0.131534 | − | 0.0831769i | −0.467078 | − | 0.884216i | \(-0.654693\pi\) |
0.598612 | + | 0.801039i | \(0.295719\pi\) | |||||||
\(824\) | −29.7119 | − | 7.32333i | −1.03506 | − | 0.255120i | ||||
\(825\) | −24.6961 | + | 10.5220i | −0.859807 | + | 0.366329i | ||||
\(826\) | 29.0851 | − | 15.2651i | 1.01200 | − | 0.531139i | ||||
\(827\) | −3.36855 | + | 27.7425i | −0.117136 | + | 0.964702i | 0.809077 | + | 0.587702i | \(0.199967\pi\) |
−0.926213 | + | 0.377000i | \(0.876956\pi\) | |||||||
\(828\) | 0.0490101 | − | 0.0309921i | 0.00170322 | − | 0.00107705i | ||||
\(829\) | −9.46733 | − | 8.38732i | −0.328814 | − | 0.291304i | 0.482522 | − | 0.875884i | \(-0.339721\pi\) |
−0.811336 | + | 0.584580i | \(0.801259\pi\) | |||||||
\(830\) | −0.493155 | − | 1.03930i | −0.0171177 | − | 0.0360747i | ||||
\(831\) | −12.8403 | − | 3.16485i | −0.445424 | − | 0.109787i | ||||
\(832\) | 2.44906 | + | 11.9963i | 0.0849058 | + | 0.415896i | ||||
\(833\) | −3.86255 | + | 3.42192i | −0.133830 | + | 0.118563i | ||||
\(834\) | −35.2232 | + | 15.0072i | −1.21968 | + | 0.519657i | ||||
\(835\) | −2.70648 | + | 5.70379i | −0.0936617 | + | 0.197388i | ||||
\(836\) | 5.22587 | − | 6.40053i | 0.180741 | − | 0.221367i | ||||
\(837\) | 50.4149 | − | 26.4598i | 1.74259 | − | 0.914584i | ||||
\(838\) | −16.0127 | − | 1.29268i | −0.553149 | − | 0.0446548i | ||||
\(839\) | 5.99354 | + | 8.68314i | 0.206920 | + | 0.299775i | 0.912679 | − | 0.408676i | \(-0.134009\pi\) |
−0.705760 | + | 0.708451i | \(0.749394\pi\) | |||||||
\(840\) | 2.46108 | − | 20.2688i | 0.0849153 | − | 0.699340i | ||||
\(841\) | 3.13617 | − | 25.8287i | 0.108144 | − | 0.890644i | ||||
\(842\) | −3.14383 | − | 25.8918i | −0.108344 | − | 0.892291i | ||||
\(843\) | 5.93031 | − | 3.75010i | 0.204251 | − | 0.129160i | ||||
\(844\) | −14.3812 | + | 1.16097i | −0.495021 | + | 0.0399622i | ||||
\(845\) | −5.74591 | − | 7.03747i | −0.197665 | − | 0.242096i | ||||
\(846\) | 0.525339 | + | 0.465410i | 0.0180615 | + | 0.0160011i | ||||
\(847\) | −10.5024 | − | 5.51209i | −0.360867 | − | 0.189398i | ||||
\(848\) | 5.43503 | − | 4.08416i | 0.186640 | − | 0.140251i | ||||
\(849\) | −0.709824 | − | 1.49592i | −0.0243611 | − | 0.0513399i | ||||
\(850\) | 0.620292 | + | 1.63557i | 0.0212758 | + | 0.0560997i | ||||
\(851\) | 1.79489 | 0.0615281 | ||||||||
\(852\) | −1.75840 | − | 0.433406i | −0.0602417 | − | 0.0148482i | ||||
\(853\) | −2.20749 | − | 54.7784i | −0.0755831 | − | 1.87558i | −0.382658 | − | 0.923890i | \(-0.624991\pi\) |
0.307075 | − | 0.951685i | \(-0.400650\pi\) | |||||||
\(854\) | −1.78722 | − | 14.7191i | −0.0611576 | − | 0.503678i | ||||
\(855\) | −0.0237649 | − | 0.116408i | −0.000812743 | − | 0.00398108i | ||||
\(856\) | 16.8290 | − | 24.3810i | 0.575203 | − | 0.833326i | ||||
\(857\) | −19.1125 | + | 4.71080i | −0.652869 | + | 0.160918i | −0.551820 | − | 0.833964i | \(-0.686066\pi\) |
−0.101050 | + | 0.994881i | \(0.532220\pi\) | |||||||
\(858\) | −8.01237 | + | 7.09834i | −0.273538 | + | 0.242333i | ||||
\(859\) | −19.5564 | − | 3.17823i | −0.667256 | − | 0.108440i | −0.182658 | − | 0.983176i | \(-0.558470\pi\) |
−0.484598 | + | 0.874737i | \(0.661034\pi\) | |||||||
\(860\) | 0.526500 | − | 0.395639i | 0.0179535 | − | 0.0134912i | ||||
\(861\) | −30.7363 | + | 13.0955i | −1.04749 | + | 0.446294i | ||||
\(862\) | 3.32774 | + | 1.74653i | 0.113343 | + | 0.0594872i | ||||
\(863\) | 9.73260 | + | 6.15452i | 0.331302 | + | 0.209502i | 0.689751 | − | 0.724047i | \(-0.257720\pi\) |
−0.358449 | + | 0.933549i | \(0.616694\pi\) | |||||||
\(864\) | 10.4967 | − | 22.1212i | 0.357103 | − | 0.752579i | ||||
\(865\) | −5.26289 | − | 18.1696i | −0.178944 | − | 0.617785i | ||||
\(866\) | −27.7394 | + | 28.8798i | −0.942624 | + | 0.981375i | ||||
\(867\) | −18.2796 | + | 22.3885i | −0.620809 | + | 0.760352i | ||||
\(868\) | 25.1633 | + | 36.4553i | 0.854097 | + | 1.23737i | ||||
\(869\) | 26.6106 | − | 8.88393i | 0.902704 | − | 0.301367i | ||||
\(870\) | 10.2911 | − | 5.40121i | 0.348903 | − | 0.183118i | ||||
\(871\) | −4.02305 | − | 4.18843i | −0.136316 | − | 0.141920i | ||||
\(872\) | 6.82467 | − | 33.4294i | 0.231112 | − | 1.13206i | ||||
\(873\) | 0.318794 | + | 0.0257357i | 0.0107895 | + | 0.000871021i | ||||
\(874\) | 2.48912 | + | 1.57402i | 0.0841957 | + | 0.0532422i | ||||
\(875\) | −35.7013 | − | 5.80202i | −1.20692 | − | 0.196144i | ||||
\(876\) | −2.28830 | − | 3.31518i | −0.0773146 | − | 0.112010i | ||||
\(877\) | −2.38391 | − | 0.387423i | −0.0804989 | − | 0.0130823i | 0.120028 | − | 0.992770i | \(-0.461701\pi\) |
−0.200527 | + | 0.979688i | \(0.564266\pi\) | |||||||
\(878\) | −3.93683 | − | 10.3806i | −0.132861 | − | 0.350327i | ||||
\(879\) | 0.398410 | − | 3.28120i | 0.0134380 | − | 0.110672i | ||||
\(880\) | −0.871004 | − | 4.26646i | −0.0293615 | − | 0.143822i | ||||
\(881\) | 13.2861 | − | 8.40161i | 0.447619 | − | 0.283057i | −0.291577 | − | 0.956547i | \(-0.594180\pi\) |
0.739196 | + | 0.673490i | \(0.235206\pi\) | |||||||
\(882\) | −0.0906742 | + | 0.746769i | −0.00305316 | + | 0.0251450i | ||||
\(883\) | −20.0281 | + | 24.5300i | −0.674001 | + | 0.825501i | −0.992477 | − | 0.122430i | \(-0.960931\pi\) |
0.318476 | + | 0.947931i | \(0.396829\pi\) | |||||||
\(884\) | −0.369302 | − | 0.452313i | −0.0124210 | − | 0.0152129i | ||||
\(885\) | −1.27323 | − | 10.4860i | −0.0427992 | − | 0.352483i | ||||
\(886\) | 31.2676 | + | 19.7724i | 1.05046 | + | 0.664268i | ||||
\(887\) | 0.576250 | − | 2.82266i | 0.0193486 | − | 0.0947756i | −0.968970 | − | 0.247179i | \(-0.920496\pi\) |
0.988318 | + | 0.152404i | \(0.0487014\pi\) | |||||||
\(888\) | 6.87526 | − | 4.34765i | 0.230718 | − | 0.145898i | ||||
\(889\) | 16.4281 | − | 43.3173i | 0.550980 | − | 1.45281i | ||||
\(890\) | −2.73869 | + | 7.22132i | −0.0918010 | + | 0.242059i | ||||
\(891\) | 32.5211 | − | 2.62537i | 1.08950 | − | 0.0879534i | ||||
\(892\) | 0.476558 | − | 11.8257i | 0.0159564 | − | 0.395953i | ||||
\(893\) | 8.30195 | − | 28.6617i | 0.277814 | − | 0.959126i | ||||
\(894\) | 1.04252 | + | 1.27685i | 0.0348670 | + | 0.0427044i | ||||
\(895\) | 7.85035 | + | 0.633746i | 0.262408 | + | 0.0211838i | ||||
\(896\) | 6.13781 | + | 2.04910i | 0.205050 | + | 0.0684557i | ||||
\(897\) | 2.39062 | + | 2.11791i | 0.0798205 | + | 0.0707148i | ||||
\(898\) | −10.4085 | + | 18.0280i | −0.347336 | + | 0.601603i | ||||
\(899\) | −28.5637 | + | 75.3164i | −0.952654 | + | 2.51194i | ||||
\(900\) | −0.189017 | − | 0.0992037i | −0.00630056 | − | 0.00330679i | ||||
\(901\) | −0.856869 | + | 1.80581i | −0.0285465 | + | 0.0601604i | ||||
\(902\) | −12.5515 | + | 11.1196i | −0.417918 | + | 0.370243i | ||||
\(903\) | 5.07019 | − | 3.81000i | 0.168725 | − | 0.126789i | ||||
\(904\) | −7.36487 | + | 36.0755i | −0.244952 | + | 1.19985i | ||||
\(905\) | −2.89880 | − | 2.17830i | −0.0963592 | − | 0.0724093i | ||||
\(906\) | −1.39981 | − | 2.95004i | −0.0465056 | − | 0.0980084i | ||||
\(907\) | 28.4168 | + | 49.2194i | 0.943565 | + | 1.63430i | 0.758599 | + | 0.651558i | \(0.225884\pi\) |
0.184966 | + | 0.982745i | \(0.440782\pi\) | |||||||
\(908\) | 24.6089 | − | 1.98663i | 0.816674 | − | 0.0659288i | ||||
\(909\) | 0.187207 | + | 0.493625i | 0.00620928 | + | 0.0163725i | ||||
\(910\) | −6.52777 | + | 1.06087i | −0.216394 | + | 0.0351674i | ||||
\(911\) | −23.2396 | − | 9.90145i | −0.769961 | − | 0.328050i | −0.0289836 | − | 0.999580i | \(-0.509227\pi\) |
−0.740977 | + | 0.671530i | \(0.765637\pi\) | |||||||
\(912\) | 5.67143 | 0.187800 | ||||||||
\(913\) | 3.22434 | + | 3.35689i | 0.106710 | + | 0.111097i | ||||
\(914\) | −10.1169 | − | 7.60239i | −0.334639 | − | 0.251465i | ||||
\(915\) | −4.62953 | − | 1.14108i | −0.153048 | − | 0.0377228i | ||||
\(916\) | 5.52613 | − | 9.57153i | 0.182588 | − | 0.316252i | ||||
\(917\) | 0.941848 | − | 23.3717i | 0.0311025 | − | 0.771802i | ||||
\(918\) | −0.0872170 | − | 2.16427i | −0.00287859 | − | 0.0714315i | ||||
\(919\) | 41.0005 | + | 13.6880i | 1.35248 | + | 0.451524i | 0.898299 | − | 0.439384i | \(-0.144803\pi\) |
0.454182 | + | 0.890909i | \(0.349932\pi\) | |||||||
\(920\) | −2.90024 | + | 0.968241i | −0.0956179 | + | 0.0319220i | ||||
\(921\) | −2.51252 | − | 20.6925i | −0.0827904 | − | 0.681840i | ||||
\(922\) | 18.9209 | − | 9.93043i | 0.623125 | − | 0.327041i | ||||
\(923\) | 0.0754555 | + | 1.87241i | 0.00248365 | + | 0.0616311i | ||||
\(924\) | 5.17279 | + | 25.3380i | 0.170172 | + | 0.833559i | ||||
\(925\) | −3.30377 | − | 5.72231i | −0.108627 | − | 0.188148i | ||||
\(926\) | 1.60066 | − | 5.52610i | 0.0526008 | − | 0.181599i | ||||
\(927\) | 0.316579 | − | 0.458644i | 0.0103978 | − | 0.0150639i | ||||
\(928\) | 9.63756 | + | 33.2727i | 0.316369 | + | 1.09223i | ||||
\(929\) | 13.2686 | − | 3.27042i | 0.435329 | − | 0.107299i | −0.0155599 | − | 0.999879i | \(-0.504953\pi\) |
0.450889 | + | 0.892580i | \(0.351107\pi\) | |||||||
\(930\) | −16.5216 | + | 4.07221i | −0.541765 | + | 0.133533i | ||||
\(931\) | 30.3370 | − | 10.1280i | 0.994255 | − | 0.331931i | ||||
\(932\) | −15.6124 | − | 6.65181i | −0.511400 | − | 0.217887i | ||||
\(933\) | −11.0180 | + | 9.76113i | −0.360714 | + | 0.319565i | ||||
\(934\) | −5.40209 | + | 18.6502i | −0.176762 | + | 0.610252i | ||||
\(935\) | 0.809677 | + | 0.991674i | 0.0264793 | + | 0.0324312i | ||||
\(936\) | −0.268409 | − | 0.0436207i | −0.00877321 | − | 0.00142579i | ||||
\(937\) | 11.9972 | − | 12.4905i | 0.391933 | − | 0.408046i | −0.495776 | − | 0.868450i | \(-0.665116\pi\) |
0.887709 | + | 0.460405i | \(0.152296\pi\) | |||||||
\(938\) | 16.2731 | − | 4.01095i | 0.531335 | − | 0.130962i | ||||
\(939\) | −38.6178 | + | 29.0194i | −1.26024 | + | 0.947012i | ||||
\(940\) | 5.50898 | + | 7.98113i | 0.179683 | + | 0.260316i | ||||
\(941\) | 13.5505 | + | 28.5571i | 0.441735 | + | 0.930936i | 0.995181 | + | 0.0980513i | \(0.0312609\pi\) |
−0.553447 | + | 0.832885i | \(0.686688\pi\) | |||||||
\(942\) | 24.0297 | − | 10.2381i | 0.782931 | − | 0.333576i | ||||
\(943\) | 3.74493 | + | 3.31772i | 0.121952 | + | 0.108040i | ||||
\(944\) | −9.44208 | − | 0.762243i | −0.307313 | − | 0.0248089i | ||||
\(945\) | 18.1841 | + | 9.54374i | 0.591528 | + | 0.310458i | ||||
\(946\) | 1.80825 | − | 2.61970i | 0.0587913 | − | 0.0851738i | ||||
\(947\) | −4.87974 | − | 16.8468i | −0.158570 | − | 0.547447i | −0.999975 | − | 0.00704259i | \(-0.997758\pi\) |
0.841405 | − | 0.540405i | \(-0.181729\pi\) | |||||||
\(948\) | −10.0367 | − | 6.34683i | −0.325977 | − | 0.206135i | ||||
\(949\) | −2.63614 | + | 3.22869i | −0.0855728 | + | 0.104808i | ||||
\(950\) | 0.436547 | − | 10.8328i | 0.0141635 | − | 0.351463i | ||||
\(951\) | 25.1630 | − | 53.0298i | 0.815965 | − | 1.71961i | ||||
\(952\) | 5.31362 | − | 0.863547i | 0.172215 | − | 0.0279877i | ||||
\(953\) | −35.7132 | − | 11.9228i | −1.15686 | − | 0.386218i | −0.327458 | − | 0.944866i | \(-0.606192\pi\) |
−0.829405 | + | 0.558648i | \(0.811320\pi\) | |||||||
\(954\) | 0.0810665 | + | 0.279874i | 0.00262462 | + | 0.00906126i | ||||
\(955\) | 0.462240 | − | 0.481243i | 0.0149577 | − | 0.0155727i | ||||
\(956\) | 3.61598 | − | 5.23865i | 0.116949 | − | 0.169430i | ||||
\(957\) | −32.5762 | + | 33.9154i | −1.05304 | + | 1.09633i | ||||
\(958\) | 6.32926 | − | 6.58945i | 0.204489 | − | 0.212896i | ||||
\(959\) | −65.1235 | + | 10.5836i | −2.10295 | + | 0.341762i | ||||
\(960\) | −7.18625 | + | 8.80155i | −0.231935 | + | 0.284069i | ||||
\(961\) | 49.3832 | − | 71.5439i | 1.59301 | − | 2.30787i | ||||
\(962\) | −1.97220 | − | 1.74722i | −0.0635864 | − | 0.0563327i | ||||
\(963\) | 0.306483 | + | 0.444017i | 0.00987626 | + | 0.0143082i | ||||
\(964\) | 17.5266 | − | 18.2472i | 0.564495 | − | 0.587702i | ||||
\(965\) | −5.74339 | + | 19.8285i | −0.184886 | + | 0.638302i | ||||
\(966\) | −8.74276 | + | 2.91876i | −0.281294 | + | 0.0939097i | ||||
\(967\) | 12.3230 | + | 42.5438i | 0.396280 | + | 1.36812i | 0.872424 | + | 0.488749i | \(0.162547\pi\) |
−0.476145 | + | 0.879367i | \(0.657966\pi\) | |||||||
\(968\) | 4.02496 | + | 6.97143i | 0.129367 | + | 0.224070i | ||||
\(969\) | −1.47643 | + | 0.774892i | −0.0474299 | + | 0.0248931i | ||||
\(970\) | −5.00740 | − | 1.67172i | −0.160778 | − | 0.0536755i | ||||
\(971\) | −8.73158 | + | 15.1235i | −0.280210 | + | 0.485338i | −0.971436 | − | 0.237301i | \(-0.923737\pi\) |
0.691226 | + | 0.722638i | \(0.257071\pi\) | |||||||
\(972\) | 0.362900 | + | 0.377819i | 0.0116400 | + | 0.0121185i | ||||
\(973\) | 94.4705 | − | 15.3529i | 3.02858 | − | 0.492193i | ||||
\(974\) | 17.7072 | + | 30.6698i | 0.567376 | + | 0.982724i | ||||
\(975\) | 2.35180 | − | 11.5199i | 0.0753179 | − | 0.368932i | ||||
\(976\) | −1.83307 | + | 3.86312i | −0.0586752 | + | 0.123655i | ||||
\(977\) | 19.6605 | − | 34.0529i | 0.628994 | − | 1.08945i | −0.358760 | − | 0.933430i | \(-0.616800\pi\) |
0.987754 | − | 0.156020i | \(-0.0498664\pi\) | |||||||
\(978\) | 1.17064 | + | 0.0945034i | 0.0374328 | + | 0.00302189i | ||||
\(979\) | 1.25828 | − | 31.2240i | 0.0402149 | − | 0.997923i | ||||
\(980\) | −3.68588 | + | 9.71886i | −0.117741 | + | 0.310458i | ||||
\(981\) | 0.525167 | + | 0.332096i | 0.0167673 | + | 0.0106030i | ||||
\(982\) | 14.1104 | − | 17.2821i | 0.450282 | − | 0.551495i | ||||
\(983\) | −8.39505 | − | 41.1217i | −0.267760 | − | 1.31158i | −0.861844 | − | 0.507174i | \(-0.830690\pi\) |
0.594083 | − | 0.804404i | \(-0.297515\pi\) | |||||||
\(984\) | 22.3811 | + | 3.63728i | 0.713484 | + | 0.115952i | ||||
\(985\) | −20.0405 | − | 12.6728i | −0.638543 | − | 0.403790i | ||||
\(986\) | 2.12277 | + | 2.21003i | 0.0676026 | + | 0.0703818i | ||||
\(987\) | 53.0514 | + | 76.8582i | 1.68865 | + | 2.44642i | ||||
\(988\) | 1.00690 | + | 3.47622i | 0.0320337 | + | 0.110593i | ||||
\(989\) | −0.840963 | − | 0.441372i | −0.0267411 | − | 0.0140348i | ||||
\(990\) | 0.184211 | + | 0.0299373i | 0.00585462 | + | 0.000951469i | ||||
\(991\) | −18.4740 | + | 26.7643i | −0.586847 | + | 0.850195i | −0.998118 | − | 0.0613181i | \(-0.980470\pi\) |
0.411271 | + | 0.911513i | \(0.365085\pi\) | |||||||
\(992\) | −2.04213 | − | 50.6749i | −0.0648377 | − | 1.60893i | ||||
\(993\) | −10.6666 | − | 28.1255i | −0.338494 | − | 0.892535i | ||||
\(994\) | −4.78853 | − | 2.51321i | −0.151883 | − | 0.0797143i | ||||
\(995\) | 17.6879 | − | 1.42791i | 0.560743 | − | 0.0452679i | ||||
\(996\) | 0.237485 | − | 1.95586i | 0.00752499 | − | 0.0619738i | ||||
\(997\) | 17.9481 | + | 1.44892i | 0.568422 | + | 0.0458878i | 0.361337 | − | 0.932435i | \(-0.382320\pi\) |
0.207085 | + | 0.978323i | \(0.433602\pi\) | |||||||
\(998\) | −0.610493 | + | 1.28659i | −0.0193248 | + | 0.0407262i | ||||
\(999\) | 1.63658 | + | 8.01652i | 0.0517792 | + | 0.253631i |
(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 | 547.2.j.a.11.16 | ✓ | 1080 | |
547.199 | even | 39 | inner | 547.2.j.a.199.16 | yes | 1080 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
547.2.j.a.11.16 | ✓ | 1080 | 1.1 | even | 1 | trivial | |
547.2.j.a.199.16 | yes | 1080 | 547.199 | even | 39 | inner |