Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(43,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.u (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 169.1 | ||
Character | \(\chi\) | \(=\) | 378.169 |
Dual form | 378.2.u.c.85.1 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | − | 0.342020i | 0.664463 | − | 0.241845i | ||||
\(3\) | −1.33338 | + | 1.10549i | −0.769826 | + | 0.638254i | ||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | −0.412508 | − | 2.33945i | −0.184479 | − | 1.04623i | −0.926623 | − | 0.375992i | \(-0.877302\pi\) |
0.742144 | − | 0.670241i | \(-0.233809\pi\) | |||||||
\(6\) | −0.874866 | + | 1.49486i | −0.357163 | + | 0.610274i | ||||
\(7\) | −0.766044 | − | 0.642788i | −0.289538 | − | 0.242951i | ||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | 0.555794 | − | 2.94807i | 0.185265 | − | 0.982689i | ||||
\(10\) | −1.18777 | − | 2.05728i | −0.375606 | − | 0.650568i | ||||
\(11\) | 0.330918 | − | 1.87673i | 0.0997754 | − | 0.565854i | −0.893404 | − | 0.449255i | \(-0.851690\pi\) |
0.993179 | − | 0.116599i | \(-0.0371994\pi\) | |||||||
\(12\) | −0.310833 | + | 1.70393i | −0.0897298 | + | 0.491883i | ||||
\(13\) | −0.325226 | − | 0.118372i | −0.0902014 | − | 0.0328306i | 0.296525 | − | 0.955025i | \(-0.404172\pi\) |
−0.386727 | + | 0.922194i | \(0.626394\pi\) | |||||||
\(14\) | −0.939693 | − | 0.342020i | −0.251143 | − | 0.0914087i | ||||
\(15\) | 3.13626 | + | 2.66335i | 0.809779 | + | 0.687673i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | −1.98208 | − | 3.43306i | −0.480725 | − | 0.832640i | 0.519031 | − | 0.854756i | \(-0.326293\pi\) |
−0.999755 | + | 0.0221160i | \(0.992960\pi\) | |||||||
\(18\) | −0.486023 | − | 2.96037i | −0.114557 | − | 0.697766i | ||||
\(19\) | 0.954309 | − | 1.65291i | 0.218934 | − | 0.379204i | −0.735549 | − | 0.677472i | \(-0.763076\pi\) |
0.954482 | + | 0.298268i | \(0.0964089\pi\) | |||||||
\(20\) | −1.81977 | − | 1.52697i | −0.406913 | − | 0.341440i | ||||
\(21\) | 1.73202 | + | 0.0102262i | 0.377958 | + | 0.00223153i | ||||
\(22\) | −0.330918 | − | 1.87673i | −0.0705519 | − | 0.400119i | ||||
\(23\) | 1.91185 | − | 1.60423i | 0.398647 | − | 0.334505i | −0.421323 | − | 0.906911i | \(-0.638434\pi\) |
0.819971 | + | 0.572406i | \(0.193990\pi\) | |||||||
\(24\) | 0.290691 | + | 1.70748i | 0.0593371 | + | 0.348539i | ||||
\(25\) | −0.604396 | + | 0.219982i | −0.120879 | + | 0.0439964i | ||||
\(26\) | −0.346098 | −0.0678754 | ||||||||
\(27\) | 2.51797 | + | 4.54531i | 0.484583 | + | 0.874745i | ||||
\(28\) | −1.00000 | −0.188982 | ||||||||
\(29\) | 7.53184 | − | 2.74137i | 1.39863 | − | 0.509059i | 0.470857 | − | 0.882209i | \(-0.343945\pi\) |
0.927771 | + | 0.373150i | \(0.121722\pi\) | |||||||
\(30\) | 3.85804 | + | 1.43006i | 0.704379 | + | 0.261093i | ||||
\(31\) | −3.82464 | + | 3.20925i | −0.686926 | + | 0.576399i | −0.918021 | − | 0.396532i | \(-0.870214\pi\) |
0.231095 | + | 0.972931i | \(0.425769\pi\) | |||||||
\(32\) | −0.173648 | − | 0.984808i | −0.0306970 | − | 0.174091i | ||||
\(33\) | 1.63346 | + | 2.86821i | 0.284349 | + | 0.499292i | ||||
\(34\) | −3.03672 | − | 2.54811i | −0.520793 | − | 0.436997i | ||||
\(35\) | −1.18777 | + | 2.05728i | −0.200770 | + | 0.347743i | ||||
\(36\) | −1.46922 | − | 2.61561i | −0.244870 | − | 0.435935i | ||||
\(37\) | −0.898531 | − | 1.55630i | −0.147718 | − | 0.255854i | 0.782666 | − | 0.622442i | \(-0.213859\pi\) |
−0.930384 | + | 0.366588i | \(0.880526\pi\) | |||||||
\(38\) | 0.331428 | − | 1.87962i | 0.0537647 | − | 0.304915i | ||||
\(39\) | 0.564508 | − | 0.201698i | 0.0903936 | − | 0.0322975i | ||||
\(40\) | −2.23228 | − | 0.812482i | −0.352954 | − | 0.128465i | ||||
\(41\) | −8.54001 | − | 3.10831i | −1.33373 | − | 0.485436i | −0.425894 | − | 0.904773i | \(-0.640041\pi\) |
−0.907831 | + | 0.419337i | \(0.862263\pi\) | |||||||
\(42\) | 1.63106 | − | 0.582776i | 0.251679 | − | 0.0899244i | ||||
\(43\) | −1.74449 | + | 9.89349i | −0.266032 | + | 1.50874i | 0.500048 | + | 0.865998i | \(0.333316\pi\) |
−0.766080 | + | 0.642745i | \(0.777795\pi\) | |||||||
\(44\) | −0.952839 | − | 1.65037i | −0.143646 | − | 0.248802i | ||||
\(45\) | −7.12612 | − | 0.0841508i | −1.06230 | − | 0.0125445i | ||||
\(46\) | 1.24787 | − | 2.16137i | 0.183988 | − | 0.318677i | ||||
\(47\) | 9.88005 | + | 8.29035i | 1.44115 | + | 1.20927i | 0.938732 | + | 0.344648i | \(0.112002\pi\) |
0.502421 | + | 0.864623i | \(0.332443\pi\) | |||||||
\(48\) | 0.857154 | + | 1.50509i | 0.123720 | + | 0.217241i | ||||
\(49\) | 0.173648 | + | 0.984808i | 0.0248069 | + | 0.140687i | ||||
\(50\) | −0.492708 | + | 0.413431i | −0.0696795 | + | 0.0584680i | ||||
\(51\) | 6.43807 | + | 2.38640i | 0.901510 | + | 0.334163i | ||||
\(52\) | −0.325226 | + | 0.118372i | −0.0451007 | + | 0.0164153i | ||||
\(53\) | −2.36703 | −0.325136 | −0.162568 | − | 0.986697i | \(-0.551978\pi\) | ||||
−0.162568 | + | 0.986697i | \(0.551978\pi\) | |||||||
\(54\) | 3.92070 | + | 3.41000i | 0.533540 | + | 0.464042i | ||||
\(55\) | −4.52701 | −0.610422 | ||||||||
\(56\) | −0.939693 | + | 0.342020i | −0.125572 | + | 0.0457044i | ||||
\(57\) | 0.554819 | + | 3.25893i | 0.0734876 | + | 0.431656i | ||||
\(58\) | 6.14001 | − | 5.15208i | 0.806223 | − | 0.676502i | ||||
\(59\) | 0.541789 | + | 3.07264i | 0.0705349 | + | 0.400023i | 0.999550 | + | 0.0299826i | \(0.00954518\pi\) |
−0.929016 | + | 0.370041i | \(0.879344\pi\) | |||||||
\(60\) | 4.11448 | + | 0.0242927i | 0.531177 | + | 0.00313617i | ||||
\(61\) | −2.82647 | − | 2.37169i | −0.361892 | − | 0.303664i | 0.443652 | − | 0.896199i | \(-0.353683\pi\) |
−0.805544 | + | 0.592535i | \(0.798127\pi\) | |||||||
\(62\) | −2.49636 | + | 4.32382i | −0.317038 | + | 0.549125i | ||||
\(63\) | −2.32074 | + | 1.90109i | −0.292386 | + | 0.239515i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −0.142768 | + | 0.809678i | −0.0177082 | + | 0.100428i | ||||
\(66\) | 2.51594 | + | 2.13656i | 0.309690 | + | 0.262992i | ||||
\(67\) | 3.72631 | + | 1.35627i | 0.455242 | + | 0.165694i | 0.559455 | − | 0.828861i | \(-0.311010\pi\) |
−0.104214 | + | 0.994555i | \(0.533233\pi\) | |||||||
\(68\) | −3.72509 | − | 1.35582i | −0.451733 | − | 0.164418i | ||||
\(69\) | −0.775758 | + | 4.25257i | −0.0933902 | + | 0.511949i | ||||
\(70\) | −0.412508 | + | 2.33945i | −0.0493041 | + | 0.279618i | ||||
\(71\) | −0.671111 | − | 1.16240i | −0.0796462 | − | 0.137951i | 0.823451 | − | 0.567387i | \(-0.192046\pi\) |
−0.903097 | + | 0.429436i | \(0.858712\pi\) | |||||||
\(72\) | −2.27520 | − | 1.95536i | −0.268135 | − | 0.230442i | ||||
\(73\) | −4.74972 | + | 8.22676i | −0.555913 | + | 0.962869i | 0.441919 | + | 0.897055i | \(0.354298\pi\) |
−0.997832 | + | 0.0658142i | \(0.979036\pi\) | |||||||
\(74\) | −1.37663 | − | 1.15513i | −0.160030 | − | 0.134281i | ||||
\(75\) | 0.562701 | − | 0.961472i | 0.0649751 | − | 0.111021i | ||||
\(76\) | −0.331428 | − | 1.87962i | −0.0380174 | − | 0.215607i | ||||
\(77\) | −1.45983 | + | 1.22495i | −0.166364 | + | 0.139596i | ||||
\(78\) | 0.461479 | − | 0.382607i | 0.0522522 | − | 0.0433217i | ||||
\(79\) | −3.98400 | + | 1.45006i | −0.448235 | + | 0.163144i | −0.556268 | − | 0.831003i | \(-0.687767\pi\) |
0.108033 | + | 0.994147i | \(0.465545\pi\) | |||||||
\(80\) | −2.37554 | −0.265593 | ||||||||
\(81\) | −8.38219 | − | 3.27703i | −0.931354 | − | 0.364115i | ||||
\(82\) | −9.08809 | −1.00361 | ||||||||
\(83\) | 7.30158 | − | 2.65756i | 0.801452 | − | 0.291705i | 0.0913640 | − | 0.995818i | \(-0.470877\pi\) |
0.710088 | + | 0.704113i | \(0.248655\pi\) | |||||||
\(84\) | 1.33338 | − | 1.10549i | 0.145483 | − | 0.120619i | ||||
\(85\) | −7.21385 | + | 6.05314i | −0.782452 | + | 0.656555i | ||||
\(86\) | 1.74449 | + | 9.89349i | 0.188113 | + | 1.06684i | ||||
\(87\) | −7.01225 | + | 11.9816i | −0.751792 | + | 1.28457i | ||||
\(88\) | −1.45983 | − | 1.22495i | −0.155619 | − | 0.130580i | ||||
\(89\) | 7.20467 | − | 12.4789i | 0.763694 | − | 1.32276i | −0.177241 | − | 0.984168i | \(-0.556717\pi\) |
0.940934 | − | 0.338589i | \(-0.109950\pi\) | |||||||
\(90\) | −6.72514 | + | 2.35820i | −0.708892 | + | 0.248576i | ||||
\(91\) | 0.173049 | + | 0.299730i | 0.0181405 | + | 0.0314202i | ||||
\(92\) | 0.433380 | − | 2.45782i | 0.0451830 | − | 0.256246i | ||||
\(93\) | 1.55190 | − | 8.50724i | 0.160925 | − | 0.882160i | ||||
\(94\) | 12.1197 | + | 4.41120i | 1.25005 | + | 0.454981i | ||||
\(95\) | −4.26056 | − | 1.55072i | −0.437125 | − | 0.159100i | ||||
\(96\) | 1.32023 | + | 1.12116i | 0.134746 | + | 0.114427i | ||||
\(97\) | −2.51966 | + | 14.2897i | −0.255833 | + | 1.45090i | 0.538092 | + | 0.842886i | \(0.319145\pi\) |
−0.793925 | + | 0.608015i | \(0.791966\pi\) | |||||||
\(98\) | 0.500000 | + | 0.866025i | 0.0505076 | + | 0.0874818i | ||||
\(99\) | −5.34879 | − | 2.01864i | −0.537574 | − | 0.202881i | ||||
\(100\) | −0.321593 | + | 0.557015i | −0.0321593 | + | 0.0557015i | ||||
\(101\) | 10.4929 | + | 8.80459i | 1.04408 | + | 0.876090i | 0.992459 | − | 0.122577i | \(-0.0391158\pi\) |
0.0516241 | + | 0.998667i | \(0.483560\pi\) | |||||||
\(102\) | 6.86600 | + | 0.0405381i | 0.679836 | + | 0.00401387i | ||||
\(103\) | −2.31687 | − | 13.1396i | −0.228288 | − | 1.29469i | −0.856299 | − | 0.516481i | \(-0.827242\pi\) |
0.628011 | − | 0.778205i | \(-0.283869\pi\) | |||||||
\(104\) | −0.265126 | + | 0.222467i | −0.0259978 | + | 0.0218147i | ||||
\(105\) | −0.690549 | − | 4.05619i | −0.0673907 | − | 0.395844i | ||||
\(106\) | −2.22428 | + | 0.809570i | −0.216041 | + | 0.0786324i | ||||
\(107\) | 10.1212 | 0.978454 | 0.489227 | − | 0.872156i | \(-0.337279\pi\) | ||||
0.489227 | + | 0.872156i | \(0.337279\pi\) | |||||||
\(108\) | 4.85054 | + | 1.86339i | 0.466744 | + | 0.179305i | ||||
\(109\) | 16.8796 | 1.61677 | 0.808384 | − | 0.588656i | \(-0.200343\pi\) | ||||
0.808384 | + | 0.588656i | \(0.200343\pi\) | |||||||
\(110\) | −4.25400 | + | 1.54833i | −0.405603 | + | 0.147627i | ||||
\(111\) | 2.91855 | + | 1.08182i | 0.277017 | + | 0.102682i | ||||
\(112\) | −0.766044 | + | 0.642788i | −0.0723844 | + | 0.0607377i | ||||
\(113\) | −1.14830 | − | 6.51235i | −0.108023 | − | 0.612631i | −0.989970 | − | 0.141281i | \(-0.954878\pi\) |
0.881946 | − | 0.471350i | \(-0.156233\pi\) | |||||||
\(114\) | 1.63598 | + | 2.87264i | 0.153224 | + | 0.269047i | ||||
\(115\) | −4.54166 | − | 3.81091i | −0.423512 | − | 0.355369i | ||||
\(116\) | 4.00761 | − | 6.94138i | 0.372097 | − | 0.644491i | ||||
\(117\) | −0.529728 | + | 0.892996i | −0.0489734 | + | 0.0825575i | ||||
\(118\) | 1.56002 | + | 2.70203i | 0.143611 | + | 0.248742i | ||||
\(119\) | −0.688369 | + | 3.90393i | −0.0631027 | + | 0.357873i | ||||
\(120\) | 3.87466 | − | 1.38441i | 0.353706 | − | 0.126379i | ||||
\(121\) | 6.92402 | + | 2.52014i | 0.629457 | + | 0.229103i | ||||
\(122\) | −3.46718 | − | 1.26195i | −0.313903 | − | 0.114252i | ||||
\(123\) | 14.8233 | − | 5.29632i | 1.33657 | − | 0.477553i | ||||
\(124\) | −0.866976 | + | 4.91686i | −0.0778567 | + | 0.441547i | ||||
\(125\) | −5.17489 | − | 8.96318i | −0.462856 | − | 0.801691i | ||||
\(126\) | −1.53057 | + | 2.58018i | −0.136354 | + | 0.229861i | ||||
\(127\) | −2.99602 | + | 5.18927i | −0.265854 | + | 0.460473i | −0.967787 | − | 0.251770i | \(-0.918987\pi\) |
0.701933 | + | 0.712243i | \(0.252321\pi\) | |||||||
\(128\) | −0.766044 | − | 0.642788i | −0.0677094 | − | 0.0568149i | ||||
\(129\) | −8.61106 | − | 15.1203i | −0.758162 | − | 1.33127i | ||||
\(130\) | 0.142768 | + | 0.809678i | 0.0125216 | + | 0.0710135i | ||||
\(131\) | 10.5773 | − | 8.87545i | 0.924147 | − | 0.775451i | −0.0506103 | − | 0.998718i | \(-0.516117\pi\) |
0.974757 | + | 0.223267i | \(0.0716722\pi\) | |||||||
\(132\) | 3.09495 | + | 1.14721i | 0.269381 | + | 0.0998518i | ||||
\(133\) | −1.79351 | + | 0.652786i | −0.155517 | + | 0.0566037i | ||||
\(134\) | 3.96546 | 0.342564 | ||||||||
\(135\) | 9.59484 | − | 7.76563i | 0.825792 | − | 0.668359i | ||||
\(136\) | −3.96416 | −0.339924 | ||||||||
\(137\) | 7.22521 | − | 2.62976i | 0.617291 | − | 0.224676i | −0.0143993 | − | 0.999896i | \(-0.504584\pi\) |
0.631690 | + | 0.775221i | \(0.282361\pi\) | |||||||
\(138\) | 0.725489 | + | 4.26143i | 0.0617578 | + | 0.362757i | ||||
\(139\) | 17.1807 | − | 14.4164i | 1.45725 | − | 1.22278i | 0.530185 | − | 0.847882i | \(-0.322123\pi\) |
0.927067 | − | 0.374897i | \(-0.122322\pi\) | |||||||
\(140\) | 0.412508 | + | 2.33945i | 0.0348633 | + | 0.197720i | ||||
\(141\) | −22.3387 | − | 0.131892i | −1.88126 | − | 0.0111073i | ||||
\(142\) | −1.02820 | − | 0.862763i | −0.0862847 | − | 0.0724015i | ||||
\(143\) | −0.329776 | + | 0.571188i | −0.0275772 | + | 0.0477652i | ||||
\(144\) | −2.80677 | − | 1.05928i | −0.233897 | − | 0.0882730i | ||||
\(145\) | −9.52023 | − | 16.4895i | −0.790612 | − | 1.36938i | ||||
\(146\) | −1.64956 | + | 9.35512i | −0.136519 | + | 0.774236i | ||||
\(147\) | −1.32023 | − | 1.12116i | −0.108891 | − | 0.0924713i | ||||
\(148\) | −1.68868 | − | 0.614631i | −0.138809 | − | 0.0505224i | ||||
\(149\) | 3.00996 | + | 1.09554i | 0.246585 | + | 0.0897498i | 0.462356 | − | 0.886694i | \(-0.347004\pi\) |
−0.215771 | + | 0.976444i | \(0.569226\pi\) | |||||||
\(150\) | 0.199923 | − | 1.09594i | 0.0163237 | − | 0.0894834i | ||||
\(151\) | −2.30734 | + | 13.0856i | −0.187768 | + | 1.06489i | 0.734578 | + | 0.678524i | \(0.237380\pi\) |
−0.922347 | + | 0.386363i | \(0.873731\pi\) | |||||||
\(152\) | −0.954309 | − | 1.65291i | −0.0774047 | − | 0.134069i | ||||
\(153\) | −11.2225 | + | 3.93522i | −0.907287 | + | 0.318144i | ||||
\(154\) | −0.952839 | + | 1.65037i | −0.0767820 | + | 0.132990i | ||||
\(155\) | 9.08558 | + | 7.62371i | 0.729772 | + | 0.612351i | ||||
\(156\) | 0.302789 | − | 0.517368i | 0.0242426 | − | 0.0414226i | ||||
\(157\) | 1.87437 | + | 10.6301i | 0.149591 | + | 0.848373i | 0.963565 | + | 0.267473i | \(0.0861885\pi\) |
−0.813974 | + | 0.580901i | \(0.802700\pi\) | |||||||
\(158\) | −3.24779 | + | 2.72522i | −0.258380 | + | 0.216807i | ||||
\(159\) | 3.15614 | − | 2.61672i | 0.250298 | − | 0.207519i | ||||
\(160\) | −2.23228 | + | 0.812482i | −0.176477 | + | 0.0642324i | ||||
\(161\) | −2.49574 | −0.196692 | ||||||||
\(162\) | −8.99749 | − | 0.212528i | −0.706910 | − | 0.0166978i | ||||
\(163\) | −5.77576 | −0.452392 | −0.226196 | − | 0.974082i | \(-0.572629\pi\) | ||||
−0.226196 | + | 0.974082i | \(0.572629\pi\) | |||||||
\(164\) | −8.54001 | + | 3.10831i | −0.666863 | + | 0.242718i | ||||
\(165\) | 6.03622 | − | 5.00456i | 0.469919 | − | 0.389604i | ||||
\(166\) | 5.95230 | − | 4.99457i | 0.461988 | − | 0.387654i | ||||
\(167\) | −0.844377 | − | 4.78870i | −0.0653399 | − | 0.370561i | −0.999891 | − | 0.0147331i | \(-0.995310\pi\) |
0.934552 | − | 0.355828i | \(-0.115801\pi\) | |||||||
\(168\) | 0.874866 | − | 1.49486i | 0.0674974 | − | 0.115331i | ||||
\(169\) | −9.86682 | − | 8.27924i | −0.758986 | − | 0.636865i | ||||
\(170\) | −4.70850 | + | 8.15537i | −0.361126 | + | 0.625488i | ||||
\(171\) | −4.34249 | − | 3.73204i | −0.332079 | − | 0.285397i | ||||
\(172\) | 5.02305 | + | 8.70019i | 0.383004 | + | 0.663383i | ||||
\(173\) | −0.283357 | + | 1.60699i | −0.0215432 | + | 0.122178i | −0.993683 | − | 0.112225i | \(-0.964202\pi\) |
0.972140 | + | 0.234403i | \(0.0753134\pi\) | |||||||
\(174\) | −2.49140 | + | 13.6574i | −0.188872 | + | 1.03536i | ||||
\(175\) | 0.604396 | + | 0.219982i | 0.0456881 | + | 0.0166291i | ||||
\(176\) | −1.79075 | − | 0.651780i | −0.134983 | − | 0.0491298i | ||||
\(177\) | −4.11917 | − | 3.49805i | −0.309616 | − | 0.262929i | ||||
\(178\) | 2.50216 | − | 14.1904i | 0.187545 | − | 1.06362i | ||||
\(179\) | −6.07571 | − | 10.5234i | −0.454120 | − | 0.786559i | 0.544517 | − | 0.838750i | \(-0.316713\pi\) |
−0.998637 | + | 0.0521910i | \(0.983380\pi\) | |||||||
\(180\) | −5.51302 | + | 4.51612i | −0.410916 | + | 0.336612i | ||||
\(181\) | 4.29724 | − | 7.44303i | 0.319411 | − | 0.553236i | −0.660954 | − | 0.750426i | \(-0.729848\pi\) |
0.980365 | + | 0.197190i | \(0.0631816\pi\) | |||||||
\(182\) | 0.265126 | + | 0.222467i | 0.0196525 | + | 0.0164904i | ||||
\(183\) | 6.39062 | + | 0.0377314i | 0.472409 | + | 0.00278919i | ||||
\(184\) | −0.433380 | − | 2.45782i | −0.0319492 | − | 0.181193i | ||||
\(185\) | −3.27023 | + | 2.74405i | −0.240432 | + | 0.201747i | ||||
\(186\) | −1.45134 | − | 8.52497i | −0.106417 | − | 0.625081i | ||||
\(187\) | −7.09882 | + | 2.58376i | −0.519117 | + | 0.188943i | ||||
\(188\) | 12.8975 | 0.940646 | ||||||||
\(189\) | 0.992794 | − | 5.10043i | 0.0722151 | − | 0.371002i | ||||
\(190\) | −4.53400 | −0.328931 | ||||||||
\(191\) | −20.3794 | + | 7.41749i | −1.47460 | + | 0.536711i | −0.949346 | − | 0.314233i | \(-0.898253\pi\) |
−0.525256 | + | 0.850944i | \(0.676030\pi\) | |||||||
\(192\) | 1.62407 | + | 0.601995i | 0.117207 | + | 0.0434453i | ||||
\(193\) | 5.55729 | − | 4.66312i | 0.400023 | − | 0.335659i | −0.420480 | − | 0.907302i | \(-0.638138\pi\) |
0.820502 | + | 0.571643i | \(0.193694\pi\) | |||||||
\(194\) | 2.51966 | + | 14.2897i | 0.180901 | + | 1.02594i | ||||
\(195\) | −0.704726 | − | 1.23744i | −0.0504664 | − | 0.0886146i | ||||
\(196\) | 0.766044 | + | 0.642788i | 0.0547175 | + | 0.0459134i | ||||
\(197\) | −10.3102 | + | 17.8577i | −0.734569 | + | 1.27231i | 0.220343 | + | 0.975423i | \(0.429282\pi\) |
−0.954912 | + | 0.296889i | \(0.904051\pi\) | |||||||
\(198\) | −5.71664 | − | 0.0675065i | −0.406264 | − | 0.00479748i | ||||
\(199\) | −0.981724 | − | 1.70040i | −0.0695925 | − | 0.120538i | 0.829129 | − | 0.559057i | \(-0.188837\pi\) |
−0.898722 | + | 0.438519i | \(0.855503\pi\) | |||||||
\(200\) | −0.111688 | + | 0.633414i | −0.00789753 | + | 0.0447891i | ||||
\(201\) | −6.46792 | + | 2.31098i | −0.456212 | + | 0.163004i | ||||
\(202\) | 12.8715 | + | 4.68483i | 0.905632 | + | 0.329623i | ||||
\(203\) | −7.53184 | − | 2.74137i | −0.528632 | − | 0.192406i | ||||
\(204\) | 6.46580 | − | 2.31022i | 0.452696 | − | 0.161748i | ||||
\(205\) | −3.74891 | + | 21.2611i | −0.261835 | + | 1.48494i | ||||
\(206\) | −6.67116 | − | 11.5548i | −0.464802 | − | 0.805061i | ||||
\(207\) | −3.66678 | − | 6.52787i | −0.254859 | − | 0.453718i | ||||
\(208\) | −0.173049 | + | 0.299730i | −0.0119988 | + | 0.0207825i | ||||
\(209\) | −2.78627 | − | 2.33796i | −0.192730 | − | 0.161720i | ||||
\(210\) | −2.03620 | − | 3.57539i | −0.140511 | − | 0.246726i | ||||
\(211\) | −1.25721 | − | 7.13000i | −0.0865500 | − | 0.490850i | −0.997011 | − | 0.0772554i | \(-0.975384\pi\) |
0.910461 | − | 0.413594i | \(-0.135727\pi\) | |||||||
\(212\) | −1.81325 | + | 1.52149i | −0.124534 | + | 0.104497i | ||||
\(213\) | 2.17986 | + | 0.808011i | 0.149362 | + | 0.0553640i | ||||
\(214\) | 9.51083 | − | 3.46166i | 0.650147 | − | 0.236634i | ||||
\(215\) | 23.8649 | 1.62757 | ||||||||
\(216\) | 5.19534 | + | 0.0920312i | 0.353498 | + | 0.00626193i | ||||
\(217\) | 4.99271 | 0.338927 | ||||||||
\(218\) | 15.8616 | − | 5.77315i | 1.07428 | − | 0.391007i | ||||
\(219\) | −2.76141 | − | 16.2201i | −0.186599 | − | 1.09606i | ||||
\(220\) | −3.46789 | + | 2.90991i | −0.233805 | + | 0.196186i | ||||
\(221\) | 0.238243 | + | 1.35114i | 0.0160260 | + | 0.0908877i | ||||
\(222\) | 3.11255 | + | 0.0183770i | 0.208900 | + | 0.00123339i | ||||
\(223\) | 6.01701 | + | 5.04887i | 0.402929 | + | 0.338097i | 0.821624 | − | 0.570029i | \(-0.193068\pi\) |
−0.418696 | + | 0.908127i | \(0.637513\pi\) | |||||||
\(224\) | −0.500000 | + | 0.866025i | −0.0334077 | + | 0.0578638i | ||||
\(225\) | 0.312602 | + | 1.90406i | 0.0208402 | + | 0.126938i | ||||
\(226\) | −3.30641 | − | 5.72687i | −0.219939 | − | 0.380946i | ||||
\(227\) | −3.82272 | + | 21.6797i | −0.253723 | + | 1.43894i | 0.545606 | + | 0.838042i | \(0.316300\pi\) |
−0.799329 | + | 0.600894i | \(0.794812\pi\) | |||||||
\(228\) | 2.51982 | + | 2.13986i | 0.166879 | + | 0.141716i | ||||
\(229\) | −1.14034 | − | 0.415051i | −0.0753560 | − | 0.0274273i | 0.304067 | − | 0.952651i | \(-0.401655\pi\) |
−0.379423 | + | 0.925223i | \(0.623878\pi\) | |||||||
\(230\) | −5.57118 | − | 2.02774i | −0.367352 | − | 0.133705i | ||||
\(231\) | 0.592348 | − | 3.24715i | 0.0389736 | − | 0.213646i | ||||
\(232\) | 1.39183 | − | 7.89345i | 0.0913780 | − | 0.518230i | ||||
\(233\) | −9.05240 | − | 15.6792i | −0.593042 | − | 1.02718i | −0.993820 | − | 0.111004i | \(-0.964593\pi\) |
0.400778 | − | 0.916175i | \(-0.368740\pi\) | |||||||
\(234\) | −0.192359 | + | 1.02032i | −0.0125749 | + | 0.0667004i | ||||
\(235\) | 15.3192 | − | 26.5337i | 0.999317 | − | 1.73087i | ||||
\(236\) | 2.39009 | + | 2.00552i | 0.155581 | + | 0.130548i | ||||
\(237\) | 3.70916 | − | 6.33774i | 0.240936 | − | 0.411680i | ||||
\(238\) | 0.688369 | + | 3.90393i | 0.0446203 | + | 0.253054i | ||||
\(239\) | −23.3668 | + | 19.6071i | −1.51147 | + | 1.26828i | −0.650642 | + | 0.759384i | \(0.725500\pi\) |
−0.860830 | + | 0.508892i | \(0.830055\pi\) | |||||||
\(240\) | 3.16749 | − | 2.62613i | 0.204461 | − | 0.169516i | ||||
\(241\) | 23.4053 | − | 8.51882i | 1.50767 | − | 0.548746i | 0.549634 | − | 0.835406i | \(-0.314767\pi\) |
0.958032 | + | 0.286660i | \(0.0925450\pi\) | |||||||
\(242\) | 7.36839 | 0.473658 | ||||||||
\(243\) | 14.7993 | − | 4.89688i | 0.949378 | − | 0.314135i | ||||
\(244\) | −3.68969 | −0.236208 | ||||||||
\(245\) | 2.23228 | − | 0.812482i | 0.142615 | − | 0.0519076i | ||||
\(246\) | 12.1179 | − | 10.0468i | 0.772606 | − | 0.640559i | ||||
\(247\) | −0.506025 | + | 0.424605i | −0.0321976 | + | 0.0270170i | ||||
\(248\) | 0.866976 | + | 4.91686i | 0.0550530 | + | 0.312221i | ||||
\(249\) | −6.79786 | + | 11.6153i | −0.430797 | + | 0.736092i | ||||
\(250\) | −7.92839 | − | 6.65271i | −0.501436 | − | 0.420754i | ||||
\(251\) | −1.91165 | + | 3.31107i | −0.120662 | + | 0.208993i | −0.920029 | − | 0.391850i | \(-0.871835\pi\) |
0.799367 | + | 0.600843i | \(0.205168\pi\) | |||||||
\(252\) | −0.555794 | + | 2.94807i | −0.0350117 | + | 0.185711i | ||||
\(253\) | −2.37804 | − | 4.11888i | −0.149506 | − | 0.258952i | ||||
\(254\) | −1.04051 | + | 5.90102i | −0.0652873 | + | 0.370263i | ||||
\(255\) | 2.92712 | − | 16.0459i | 0.183303 | − | 1.00484i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 7.75754 | + | 2.82351i | 0.483902 | + | 0.176126i | 0.572440 | − | 0.819947i | \(-0.305997\pi\) |
−0.0885375 | + | 0.996073i | \(0.528219\pi\) | |||||||
\(258\) | −13.2632 | − | 11.2632i | −0.825730 | − | 0.701219i | ||||
\(259\) | −0.312056 | + | 1.76976i | −0.0193902 | + | 0.109968i | ||||
\(260\) | 0.411085 | + | 0.712019i | 0.0254944 | + | 0.0441576i | ||||
\(261\) | −3.89558 | − | 23.7280i | −0.241130 | − | 1.46873i | ||||
\(262\) | 6.90387 | − | 11.9579i | 0.426523 | − | 0.738759i | ||||
\(263\) | −9.10090 | − | 7.63657i | −0.561186 | − | 0.470891i | 0.317522 | − | 0.948251i | \(-0.397149\pi\) |
−0.878708 | + | 0.477360i | \(0.841594\pi\) | |||||||
\(264\) | 3.30067 | + | 0.0194878i | 0.203142 | + | 0.00119939i | ||||
\(265\) | 0.976417 | + | 5.53754i | 0.0599808 | + | 0.340168i | ||||
\(266\) | −1.46209 | + | 1.22684i | −0.0896463 | + | 0.0752222i | ||||
\(267\) | 4.18867 | + | 24.6037i | 0.256343 | + | 1.50572i | ||||
\(268\) | 3.72631 | − | 1.35627i | 0.227621 | − | 0.0828472i | ||||
\(269\) | −22.1411 | −1.34997 | −0.674983 | − | 0.737833i | \(-0.735849\pi\) | ||||
−0.674983 | + | 0.737833i | \(0.735849\pi\) | |||||||
\(270\) | 6.36020 | − | 10.5789i | 0.387069 | − | 0.643814i | ||||
\(271\) | −3.53856 | −0.214952 | −0.107476 | − | 0.994208i | \(-0.534277\pi\) | ||||
−0.107476 | + | 0.994208i | \(0.534277\pi\) | |||||||
\(272\) | −3.72509 | + | 1.35582i | −0.225867 | + | 0.0822088i | ||||
\(273\) | −0.562087 | − | 0.208349i | −0.0340191 | − | 0.0126099i | ||||
\(274\) | 5.89004 | − | 4.94233i | 0.355830 | − | 0.298577i | ||||
\(275\) | 0.212841 | + | 1.20708i | 0.0128348 | + | 0.0727898i | ||||
\(276\) | 2.13923 | + | 3.75630i | 0.128767 | + | 0.226103i | ||||
\(277\) | 21.1442 | + | 17.7421i | 1.27043 | + | 1.06602i | 0.994489 | + | 0.104844i | \(0.0334344\pi\) |
0.275943 | + | 0.961174i | \(0.411010\pi\) | |||||||
\(278\) | 11.2139 | − | 19.4231i | 0.672567 | − | 1.16492i | ||||
\(279\) | 7.33538 | + | 13.0590i | 0.439158 | + | 0.781820i | ||||
\(280\) | 1.18777 | + | 2.05728i | 0.0709828 | + | 0.122946i | ||||
\(281\) | 2.61384 | − | 14.8238i | 0.155929 | − | 0.884316i | −0.802003 | − | 0.597320i | \(-0.796232\pi\) |
0.957932 | − | 0.286996i | \(-0.0926567\pi\) | |||||||
\(282\) | −21.0366 | + | 7.51635i | −1.25271 | + | 0.447592i | ||||
\(283\) | 21.6254 | + | 7.87101i | 1.28550 | + | 0.467883i | 0.892247 | − | 0.451548i | \(-0.149128\pi\) |
0.393251 | + | 0.919431i | \(0.371350\pi\) | |||||||
\(284\) | −1.26128 | − | 0.459067i | −0.0748429 | − | 0.0272406i | ||||
\(285\) | 7.39524 | − | 2.64231i | 0.438056 | − | 0.156517i | ||||
\(286\) | −0.114530 | + | 0.649531i | −0.00677229 | + | 0.0384076i | ||||
\(287\) | 4.54404 | + | 7.87052i | 0.268226 | + | 0.464582i | ||||
\(288\) | −2.99979 | − | 0.0354239i | −0.176764 | − | 0.00208737i | ||||
\(289\) | 0.642729 | − | 1.11324i | 0.0378076 | − | 0.0654846i | ||||
\(290\) | −14.5858 | − | 12.2390i | −0.856510 | − | 0.718697i | ||||
\(291\) | −12.4374 | − | 21.8391i | −0.729096 | − | 1.28023i | ||||
\(292\) | 1.64956 | + | 9.35512i | 0.0965332 | + | 0.547467i | ||||
\(293\) | 0.560993 | − | 0.470729i | 0.0327736 | − | 0.0275003i | −0.626254 | − | 0.779619i | \(-0.715413\pi\) |
0.659027 | + | 0.752119i | \(0.270968\pi\) | |||||||
\(294\) | −1.62407 | − | 0.601995i | −0.0947177 | − | 0.0351091i | ||||
\(295\) | 6.96479 | − | 2.53498i | 0.405506 | − | 0.147592i | ||||
\(296\) | −1.79706 | −0.104452 | ||||||||
\(297\) | 9.36354 | − | 3.22141i | 0.543328 | − | 0.186925i | ||||
\(298\) | 3.20313 | 0.185552 | ||||||||
\(299\) | −0.811678 | + | 0.295427i | −0.0469405 | + | 0.0170850i | ||||
\(300\) | −0.186968 | − | 1.09823i | −0.0107946 | − | 0.0634062i | ||||
\(301\) | 7.69577 | − | 6.45751i | 0.443577 | − | 0.372205i | ||||
\(302\) | 2.30734 | + | 13.0856i | 0.132772 | + | 0.752989i | ||||
\(303\) | −23.7244 | − | 0.140073i | −1.36293 | − | 0.00804699i | ||||
\(304\) | −1.46209 | − | 1.22684i | −0.0838564 | − | 0.0703639i | ||||
\(305\) | −4.38250 | + | 7.59072i | −0.250941 | + | 0.434643i | ||||
\(306\) | −9.19979 | + | 7.53623i | −0.525917 | + | 0.430817i | ||||
\(307\) | −7.14798 | − | 12.3807i | −0.407957 | − | 0.706602i | 0.586704 | − | 0.809801i | \(-0.300425\pi\) |
−0.994661 | + | 0.103200i | \(0.967092\pi\) | |||||||
\(308\) | −0.330918 | + | 1.87673i | −0.0188558 | + | 0.106936i | ||||
\(309\) | 17.6150 | + | 14.9588i | 1.00208 | + | 0.850977i | ||||
\(310\) | 11.1451 | + | 4.05649i | 0.633000 | + | 0.230393i | ||||
\(311\) | 5.73618 | + | 2.08780i | 0.325269 | + | 0.118388i | 0.499493 | − | 0.866318i | \(-0.333520\pi\) |
−0.174224 | + | 0.984706i | \(0.555742\pi\) | |||||||
\(312\) | 0.107579 | − | 0.589727i | 0.00609044 | − | 0.0333867i | ||||
\(313\) | −2.37172 | + | 13.4507i | −0.134057 | + | 0.760277i | 0.841454 | + | 0.540328i | \(0.181700\pi\) |
−0.975512 | + | 0.219948i | \(0.929411\pi\) | |||||||
\(314\) | 5.39704 | + | 9.34794i | 0.304572 | + | 0.527535i | ||||
\(315\) | 5.40483 | + | 4.64504i | 0.304528 | + | 0.261719i | ||||
\(316\) | −2.11984 | + | 3.67167i | −0.119250 | + | 0.206548i | ||||
\(317\) | 0.0486763 | + | 0.0408443i | 0.00273394 | + | 0.00229404i | 0.644154 | − | 0.764896i | \(-0.277210\pi\) |
−0.641420 | + | 0.767190i | \(0.721654\pi\) | |||||||
\(318\) | 2.07083 | − | 3.53837i | 0.116126 | − | 0.198422i | ||||
\(319\) | −2.65238 | − | 15.0424i | −0.148505 | − | 0.842211i | ||||
\(320\) | −1.81977 | + | 1.52697i | −0.101728 | + | 0.0853600i | ||||
\(321\) | −13.4954 | + | 11.1889i | −0.753240 | + | 0.624502i | ||||
\(322\) | −2.34523 | + | 0.853592i | −0.130694 | + | 0.0475688i | ||||
\(323\) | −7.56606 | −0.420987 | ||||||||
\(324\) | −8.52756 | + | 2.87761i | −0.473754 | + | 0.159867i | ||||
\(325\) | 0.222605 | 0.0123479 | ||||||||
\(326\) | −5.42743 | + | 1.97542i | −0.300598 | + | 0.109409i | ||||
\(327\) | −22.5068 | + | 18.6601i | −1.24463 | + | 1.03191i | ||||
\(328\) | −6.96188 | + | 5.84171i | −0.384405 | + | 0.322554i | ||||
\(329\) | −2.23963 | − | 12.7015i | −0.123475 | − | 0.700259i | ||||
\(330\) | 3.96053 | − | 6.76725i | 0.218020 | − | 0.372525i | ||||
\(331\) | 10.6680 | + | 8.95154i | 0.586368 | + | 0.492021i | 0.887031 | − | 0.461709i | \(-0.152764\pi\) |
−0.300663 | + | 0.953730i | \(0.597208\pi\) | |||||||
\(332\) | 3.88509 | − | 6.72917i | 0.213222 | − | 0.369311i | ||||
\(333\) | −5.08747 | + | 1.78394i | −0.278792 | + | 0.0977596i | ||||
\(334\) | −2.43129 | − | 4.21111i | −0.133034 | − | 0.230422i | ||||
\(335\) | 1.63578 | − | 9.27699i | 0.0893724 | − | 0.506856i | ||||
\(336\) | 0.310833 | − | 1.70393i | 0.0169573 | − | 0.0929571i | ||||
\(337\) | −21.5054 | − | 7.82734i | −1.17148 | − | 0.426382i | −0.318292 | − | 0.947993i | \(-0.603109\pi\) |
−0.853184 | + | 0.521611i | \(0.825331\pi\) | |||||||
\(338\) | −12.1034 | − | 4.40529i | −0.658341 | − | 0.239616i | ||||
\(339\) | 8.73045 | + | 7.41399i | 0.474173 | + | 0.402673i | ||||
\(340\) | −1.63525 | + | 9.27394i | −0.0886837 | + | 0.502950i | ||||
\(341\) | 4.75725 | + | 8.23980i | 0.257620 | + | 0.446210i | ||||
\(342\) | −5.35704 | − | 2.02175i | −0.289676 | − | 0.109324i | ||||
\(343\) | 0.500000 | − | 0.866025i | 0.0269975 | − | 0.0467610i | ||||
\(344\) | 7.69577 | + | 6.45751i | 0.414928 | + | 0.348166i | ||||
\(345\) | 10.2687 | + | 0.0606281i | 0.552846 | + | 0.00326411i | ||||
\(346\) | 0.283357 | + | 1.60699i | 0.0152333 | + | 0.0863926i | ||||
\(347\) | −27.7911 | + | 23.3195i | −1.49191 | + | 1.25186i | −0.599704 | + | 0.800222i | \(0.704715\pi\) |
−0.892202 | + | 0.451636i | \(0.850841\pi\) | |||||||
\(348\) | 2.32996 | + | 13.6859i | 0.124899 | + | 0.733639i | ||||
\(349\) | 21.3201 | − | 7.75987i | 1.14124 | − | 0.415376i | 0.298877 | − | 0.954292i | \(-0.403388\pi\) |
0.842360 | + | 0.538916i | \(0.181166\pi\) | |||||||
\(350\) | 0.643185 | 0.0343797 | ||||||||
\(351\) | −0.280868 | − | 1.77631i | −0.0149916 | − | 0.0948124i | ||||
\(352\) | −1.90568 | −0.101573 | ||||||||
\(353\) | 25.4215 | − | 9.25267i | 1.35305 | − | 0.492470i | 0.439151 | − | 0.898413i | \(-0.355279\pi\) |
0.913898 | + | 0.405943i | \(0.133057\pi\) | |||||||
\(354\) | −5.06716 | − | 1.87825i | −0.269316 | − | 0.0998278i | ||||
\(355\) | −2.44253 | + | 2.04953i | −0.129636 | + | 0.108778i | ||||
\(356\) | −2.50216 | − | 14.1904i | −0.132614 | − | 0.752091i | ||||
\(357\) | −3.39789 | − | 5.96640i | −0.179836 | − | 0.315775i | ||||
\(358\) | −9.30853 | − | 7.81078i | −0.491971 | − | 0.412813i | ||||
\(359\) | −16.7778 | + | 29.0600i | −0.885497 | + | 1.53373i | −0.0403540 | + | 0.999185i | \(0.512849\pi\) |
−0.845143 | + | 0.534540i | \(0.820485\pi\) | |||||||
\(360\) | −3.63594 | + | 6.12933i | −0.191631 | + | 0.323044i | ||||
\(361\) | 7.67859 | + | 13.2997i | 0.404136 | + | 0.699984i | ||||
\(362\) | 1.49241 | − | 8.46390i | 0.0784396 | − | 0.444853i | ||||
\(363\) | −12.0183 | + | 4.29412i | −0.630798 | + | 0.225383i | ||||
\(364\) | 0.325226 | + | 0.118372i | 0.0170465 | + | 0.00620440i | ||||
\(365\) | 21.2054 | + | 7.71813i | 1.10994 | + | 0.403985i | ||||
\(366\) | 6.01813 | − | 2.15027i | 0.314573 | − | 0.112396i | ||||
\(367\) | −2.72278 | + | 15.4417i | −0.142128 | + | 0.806048i | 0.827500 | + | 0.561465i | \(0.189762\pi\) |
−0.969628 | + | 0.244583i | \(0.921349\pi\) | |||||||
\(368\) | −1.24787 | − | 2.16137i | −0.0650497 | − | 0.112669i | ||||
\(369\) | −13.9100 | + | 23.4489i | −0.724125 | + | 1.22070i | ||||
\(370\) | −2.13449 | + | 3.69705i | −0.110967 | + | 0.192201i | ||||
\(371\) | 1.81325 | + | 1.52149i | 0.0941391 | + | 0.0789921i | ||||
\(372\) | −4.27953 | − | 7.51447i | −0.221883 | − | 0.389607i | ||||
\(373\) | 4.18598 | + | 23.7399i | 0.216742 | + | 1.22921i | 0.877858 | + | 0.478921i | \(0.158972\pi\) |
−0.661116 | + | 0.750284i | \(0.729917\pi\) | |||||||
\(374\) | −5.78701 | + | 4.85588i | −0.299239 | + | 0.251092i | ||||
\(375\) | 16.8088 | + | 6.23052i | 0.868001 | + | 0.321743i | ||||
\(376\) | 12.1197 | − | 4.41120i | 0.625024 | − | 0.227490i | ||||
\(377\) | −2.77405 | −0.142871 | ||||||||
\(378\) | −0.811528 | − | 5.13239i | −0.0417405 | − | 0.263982i | ||||
\(379\) | 19.2429 | 0.988441 | 0.494220 | − | 0.869337i | \(-0.335454\pi\) | ||||
0.494220 | + | 0.869337i | \(0.335454\pi\) | |||||||
\(380\) | −4.26056 | + | 1.55072i | −0.218562 | + | 0.0795502i | ||||
\(381\) | −1.74184 | − | 10.2313i | −0.0892370 | − | 0.524166i | ||||
\(382\) | −16.6134 | + | 13.9403i | −0.850017 | + | 0.713249i | ||||
\(383\) | −3.22526 | − | 18.2914i | −0.164803 | − | 0.934645i | −0.949267 | − | 0.314471i | \(-0.898173\pi\) |
0.784464 | − | 0.620175i | \(-0.212938\pi\) | |||||||
\(384\) | 1.73202 | + | 0.0102262i | 0.0883868 | + | 0.000521852i | ||||
\(385\) | 3.46789 | + | 2.90991i | 0.176740 | + | 0.148303i | ||||
\(386\) | 3.62727 | − | 6.28261i | 0.184623 | − | 0.319776i | ||||
\(387\) | 28.1971 | + | 10.6416i | 1.43334 | + | 0.540943i | ||||
\(388\) | 7.25508 | + | 12.5662i | 0.368321 | + | 0.637950i | ||||
\(389\) | −4.11924 | + | 23.3614i | −0.208854 | + | 1.18447i | 0.682406 | + | 0.730974i | \(0.260934\pi\) |
−0.891259 | + | 0.453494i | \(0.850177\pi\) | |||||||
\(390\) | −1.08545 | − | 0.921779i | −0.0549641 | − | 0.0466761i | ||||
\(391\) | −9.29684 | − | 3.38377i | −0.470162 | − | 0.171125i | ||||
\(392\) | 0.939693 | + | 0.342020i | 0.0474616 | + | 0.0172746i | ||||
\(393\) | −4.29190 | + | 23.5275i | −0.216498 | + | 1.18680i | ||||
\(394\) | −3.58069 | + | 20.3071i | −0.180392 | + | 1.02306i | ||||
\(395\) | 5.03577 | + | 8.72220i | 0.253377 | + | 0.438862i | ||||
\(396\) | −5.39497 | + | 1.89177i | −0.271107 | + | 0.0950650i | ||||
\(397\) | 0.946796 | − | 1.63990i | 0.0475183 | − | 0.0823042i | −0.841288 | − | 0.540587i | \(-0.818202\pi\) |
0.888806 | + | 0.458283i | \(0.151535\pi\) | |||||||
\(398\) | −1.50409 | − | 1.26208i | −0.0753931 | − | 0.0632623i | ||||
\(399\) | 1.66979 | − | 2.85312i | 0.0835939 | − | 0.142835i | ||||
\(400\) | 0.111688 | + | 0.633414i | 0.00558440 | + | 0.0316707i | ||||
\(401\) | 3.05690 | − | 2.56504i | 0.152654 | − | 0.128092i | −0.563262 | − | 0.826278i | \(-0.690454\pi\) |
0.715916 | + | 0.698186i | \(0.246009\pi\) | |||||||
\(402\) | −5.28746 | + | 4.38377i | −0.263714 | + | 0.218642i | ||||
\(403\) | 1.62376 | − | 0.591000i | 0.0808852 | − | 0.0294398i | ||||
\(404\) | 13.6975 | 0.681477 | ||||||||
\(405\) | −4.20874 | + | 20.9615i | −0.209134 | + | 1.04159i | ||||
\(406\) | −8.01522 | −0.397789 | ||||||||
\(407\) | −3.21809 | + | 1.17129i | −0.159515 | + | 0.0580586i | ||||
\(408\) | 5.28572 | − | 4.38233i | 0.261682 | − | 0.216958i | ||||
\(409\) | −22.8598 | + | 19.1816i | −1.13034 | + | 0.948471i | −0.999080 | − | 0.0428763i | \(-0.986348\pi\) |
−0.131264 | + | 0.991348i | \(0.541903\pi\) | |||||||
\(410\) | 3.74891 | + | 21.2611i | 0.185145 | + | 1.05001i | ||||
\(411\) | −6.72676 | + | 11.4938i | −0.331807 | + | 0.566949i | ||||
\(412\) | −10.2208 | − | 8.57628i | −0.503543 | − | 0.422523i | ||||
\(413\) | 1.56002 | − | 2.70203i | 0.0767635 | − | 0.132958i | ||||
\(414\) | −5.67831 | − | 4.88008i | −0.279074 | − | 0.239843i | ||||
\(415\) | −9.22918 | − | 15.9854i | −0.453042 | − | 0.784692i | ||||
\(416\) | −0.0600993 | + | 0.340840i | −0.00294661 | + | 0.0167111i | ||||
\(417\) | −6.97132 | + | 38.2155i | −0.341387 | + | 1.87142i | ||||
\(418\) | −3.41786 | − | 1.24400i | −0.167173 | − | 0.0608460i | ||||
\(419\) | 3.86429 | + | 1.40649i | 0.188783 | + | 0.0687114i | 0.434682 | − | 0.900584i | \(-0.356861\pi\) |
−0.245899 | + | 0.969296i | \(0.579083\pi\) | |||||||
\(420\) | −3.13626 | − | 2.66335i | −0.153034 | − | 0.129958i | ||||
\(421\) | 5.64475 | − | 32.0129i | 0.275108 | − | 1.56022i | −0.463510 | − | 0.886092i | \(-0.653410\pi\) |
0.738618 | − | 0.674124i | \(-0.235479\pi\) | |||||||
\(422\) | −3.62000 | − | 6.27002i | −0.176219 | − | 0.305220i | ||||
\(423\) | 29.9318 | − | 24.5193i | 1.45533 | − | 1.19217i | ||||
\(424\) | −1.18351 | + | 2.04990i | −0.0574765 | + | 0.0995521i | ||||
\(425\) | 1.95317 | + | 1.63891i | 0.0947428 | + | 0.0794987i | ||||
\(426\) | 2.32475 | + | 0.0137258i | 0.112635 | + | 0.000665016i | ||||
\(427\) | 0.640708 | + | 3.63364i | 0.0310061 | + | 0.175844i | ||||
\(428\) | 7.75330 | − | 6.50579i | 0.374770 | − | 0.314469i | ||||
\(429\) | −0.191726 | − | 1.12617i | −0.00925661 | − | 0.0543721i | ||||
\(430\) | 22.4257 | − | 8.16228i | 1.08146 | − | 0.393620i | ||||
\(431\) | −20.1814 | −0.972106 | −0.486053 | − | 0.873929i | \(-0.661564\pi\) | ||||
−0.486053 | + | 0.873929i | \(0.661564\pi\) | |||||||
\(432\) | 4.91350 | − | 1.69043i | 0.236401 | − | 0.0813308i | ||||
\(433\) | −36.2474 | −1.74194 | −0.870969 | − | 0.491337i | \(-0.836508\pi\) | ||||
−0.870969 | + | 0.491337i | \(0.836508\pi\) | |||||||
\(434\) | 4.69162 | − | 1.70761i | 0.225205 | − | 0.0819678i | ||||
\(435\) | 30.9230 | + | 11.4623i | 1.48265 | + | 0.549574i | ||||
\(436\) | 12.9305 | − | 10.8500i | 0.619258 | − | 0.519619i | ||||
\(437\) | −0.827158 | − | 4.69104i | −0.0395683 | − | 0.224403i | ||||
\(438\) | −8.14249 | − | 14.2975i | −0.389063 | − | 0.683160i | ||||
\(439\) | −23.1787 | − | 19.4492i | −1.10626 | − | 0.928261i | −0.108429 | − | 0.994104i | \(-0.534582\pi\) |
−0.997830 | + | 0.0658431i | \(0.979026\pi\) | |||||||
\(440\) | −2.26351 | + | 3.92051i | −0.107908 | + | 0.186903i | ||||
\(441\) | 2.99979 | + | 0.0354239i | 0.142847 | + | 0.00168685i | ||||
\(442\) | 0.685993 | + | 1.18818i | 0.0326294 | + | 0.0565157i | ||||
\(443\) | −1.83115 | + | 10.3850i | −0.0870005 | + | 0.493404i | 0.909906 | + | 0.414813i | \(0.136153\pi\) |
−0.996907 | + | 0.0785908i | \(0.974958\pi\) | |||||||
\(444\) | 2.93112 | − | 1.04728i | 0.139105 | − | 0.0497019i | ||||
\(445\) | −32.1656 | − | 11.7073i | −1.52480 | − | 0.554981i | ||||
\(446\) | 7.38095 | + | 2.68645i | 0.349498 | + | 0.127207i | ||||
\(447\) | −5.22451 | + | 1.86671i | −0.247111 | + | 0.0882923i | ||||
\(448\) | −0.173648 | + | 0.984808i | −0.00820411 | + | 0.0465278i | ||||
\(449\) | −7.92163 | − | 13.7207i | −0.373845 | − | 0.647518i | 0.616309 | − | 0.787505i | \(-0.288627\pi\) |
−0.990153 | + | 0.139987i | \(0.955294\pi\) | |||||||
\(450\) | 0.944979 | + | 1.68232i | 0.0445467 | + | 0.0793053i | ||||
\(451\) | −8.65949 | + | 14.9987i | −0.407759 | + | 0.706260i | ||||
\(452\) | −5.06571 | − | 4.25064i | −0.238271 | − | 0.199933i | ||||
\(453\) | −11.3894 | − | 19.9987i | −0.535119 | − | 0.939622i | ||||
\(454\) | 3.82272 | + | 21.6797i | 0.179409 | + | 1.01748i | ||||
\(455\) | 0.629818 | − | 0.528480i | 0.0295263 | − | 0.0247755i | ||||
\(456\) | 3.09973 | + | 1.14898i | 0.145158 | + | 0.0538059i | ||||
\(457\) | 33.5281 | − | 12.2032i | 1.56838 | − | 0.570844i | 0.595744 | − | 0.803175i | \(-0.296857\pi\) |
0.972637 | + | 0.232331i | \(0.0746352\pi\) | |||||||
\(458\) | −1.21353 | −0.0567044 | ||||||||
\(459\) | 10.6135 | − | 17.6535i | 0.495396 | − | 0.823995i | ||||
\(460\) | −5.92872 | −0.276428 | ||||||||
\(461\) | 10.1946 | − | 3.71052i | 0.474808 | − | 0.172816i | −0.0935209 | − | 0.995617i | \(-0.529812\pi\) |
0.568329 | + | 0.822801i | \(0.307590\pi\) | |||||||
\(462\) | −0.553964 | − | 3.25391i | −0.0257728 | − | 0.151386i | ||||
\(463\) | −28.9146 | + | 24.2622i | −1.34378 | + | 1.12756i | −0.363136 | + | 0.931736i | \(0.618294\pi\) |
−0.980639 | + | 0.195825i | \(0.937261\pi\) | |||||||
\(464\) | −1.39183 | − | 7.89345i | −0.0646140 | − | 0.366444i | ||||
\(465\) | −20.5424 | − | 0.121286i | −0.952632 | − | 0.00562452i | ||||
\(466\) | −13.8691 | − | 11.6375i | −0.642473 | − | 0.539099i | ||||
\(467\) | 5.57777 | − | 9.66099i | 0.258109 | − | 0.447057i | −0.707627 | − | 0.706587i | \(-0.750234\pi\) |
0.965735 | + | 0.259529i | \(0.0835674\pi\) | |||||||
\(468\) | 0.168211 | + | 1.02458i | 0.00777557 | + | 0.0473611i | ||||
\(469\) | −1.98273 | − | 3.43419i | −0.0915540 | − | 0.158576i | ||||
\(470\) | 5.32032 | − | 30.1730i | 0.245408 | − | 1.39178i | ||||
\(471\) | −14.2507 | − | 12.1018i | −0.656636 | − | 0.557623i | ||||
\(472\) | 2.93188 | + | 1.06712i | 0.134951 | + | 0.0491180i | ||||
\(473\) | 17.9901 | + | 6.54786i | 0.827185 | + | 0.301071i | ||||
\(474\) | 1.31783 | − | 7.22413i | 0.0605301 | − | 0.331815i | ||||
\(475\) | −0.213170 | + | 1.20894i | −0.00978089 | + | 0.0554702i | ||||
\(476\) | 1.98208 | + | 3.43306i | 0.0908484 | + | 0.157354i | ||||
\(477\) | −1.31558 | + | 6.97815i | −0.0602362 | + | 0.319507i | ||||
\(478\) | −15.2516 | + | 26.4165i | −0.697592 | + | 1.20826i | ||||
\(479\) | −10.6748 | − | 8.95725i | −0.487746 | − | 0.409267i | 0.365472 | − | 0.930822i | \(-0.380908\pi\) |
−0.853218 | + | 0.521555i | \(0.825352\pi\) | |||||||
\(480\) | 2.07828 | − | 3.55110i | 0.0948600 | − | 0.162085i | ||||
\(481\) | 0.108002 | + | 0.612510i | 0.00492447 | + | 0.0279281i | ||||
\(482\) | 19.0802 | − | 16.0101i | 0.869077 | − | 0.729242i | ||||
\(483\) | 3.32776 | − | 2.75901i | 0.151418 | − | 0.125539i | ||||
\(484\) | 6.92402 | − | 2.52014i | 0.314728 | − | 0.114552i | ||||
\(485\) | 34.4694 | 1.56518 | ||||||||
\(486\) | 12.2320 | − | 9.66323i | 0.554855 | − | 0.438333i | ||||
\(487\) | 14.8303 | 0.672027 | 0.336013 | − | 0.941857i | \(-0.390921\pi\) | ||||
0.336013 | + | 0.941857i | \(0.390921\pi\) | |||||||
\(488\) | −3.46718 | + | 1.26195i | −0.156952 | + | 0.0571258i | ||||
\(489\) | 7.70127 | − | 6.38503i | 0.348263 | − | 0.288741i | ||||
\(490\) | 1.81977 | − | 1.52697i | 0.0822088 | − | 0.0689813i | ||||
\(491\) | 1.38168 | + | 7.83587i | 0.0623542 | + | 0.353628i | 0.999982 | + | 0.00598757i | \(0.00190592\pi\) |
−0.937628 | + | 0.347640i | \(0.886983\pi\) | |||||||
\(492\) | 7.95086 | − | 13.5854i | 0.358453 | − | 0.612478i | ||||
\(493\) | −24.3400 | − | 20.4237i | −1.09622 | − | 0.919836i | ||||
\(494\) | −0.330284 | + | 0.572069i | −0.0148602 | + | 0.0257386i | ||||
\(495\) | −2.51609 | + | 13.3459i | −0.113090 | + | 0.599855i | ||||
\(496\) | 2.49636 | + | 4.32382i | 0.112090 | + | 0.194145i | ||||
\(497\) | −0.233074 | + | 1.32183i | −0.0104548 | + | 0.0592922i | ||||
\(498\) | −2.41523 | + | 13.2398i | −0.108229 | + | 0.593292i | ||||
\(499\) | −5.29141 | − | 1.92592i | −0.236876 | − | 0.0862158i | 0.220855 | − | 0.975307i | \(-0.429115\pi\) |
−0.457731 | + | 0.889091i | \(0.651338\pi\) | |||||||
\(500\) | −9.72562 | − | 3.53983i | −0.434943 | − | 0.158306i | ||||
\(501\) | 6.41972 | + | 5.45170i | 0.286812 | + | 0.243564i | ||||
\(502\) | −0.663908 | + | 3.76521i | −0.0296317 | + | 0.168050i | ||||
\(503\) | 5.38397 | + | 9.32531i | 0.240059 | + | 0.415795i | 0.960731 | − | 0.277481i | \(-0.0894997\pi\) |
−0.720672 | + | 0.693277i | \(0.756166\pi\) | |||||||
\(504\) | 0.486023 | + | 2.96037i | 0.0216492 | + | 0.131865i | ||||
\(505\) | 16.2695 | − | 28.1796i | 0.723983 | − | 1.25398i | ||||
\(506\) | −3.64336 | − | 3.05714i | −0.161967 | − | 0.135907i | ||||
\(507\) | 22.3088 | + | 0.131715i | 0.990769 | + | 0.00584968i | ||||
\(508\) | 1.04051 | + | 5.90102i | 0.0461651 | + | 0.261815i | ||||
\(509\) | 11.4608 | − | 9.61673i | 0.507990 | − | 0.426254i | −0.352431 | − | 0.935838i | \(-0.614645\pi\) |
0.860421 | + | 0.509584i | \(0.170201\pi\) | |||||||
\(510\) | −2.73744 | − | 16.0794i | −0.121216 | − | 0.712007i | ||||
\(511\) | 8.92655 | − | 3.24900i | 0.394888 | − | 0.143727i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 9.91592 | + | 0.175652i | 0.437798 | + | 0.00775525i | ||||
\(514\) | 8.25540 | 0.364130 | ||||||||
\(515\) | −29.7838 | + | 10.8404i | −1.31243 | + | 0.477685i | ||||
\(516\) | −16.3156 | − | 6.04771i | −0.718253 | − | 0.266236i | ||||
\(517\) | 18.8282 | − | 15.7987i | 0.828063 | − | 0.694827i | ||||
\(518\) | 0.312056 | + | 1.76976i | 0.0137110 | + | 0.0777588i | ||||
\(519\) | −1.39869 | − | 2.45598i | −0.0613957 | − | 0.107806i | ||||
\(520\) | 0.629818 | + | 0.528480i | 0.0276193 | + | 0.0231754i | ||||
\(521\) | 5.66431 | − | 9.81087i | 0.248158 | − | 0.429822i | −0.714857 | − | 0.699271i | \(-0.753508\pi\) |
0.963015 | + | 0.269449i | \(0.0868415\pi\) | |||||||
\(522\) | −11.7761 | − | 20.9647i | −0.515426 | − | 0.917598i | ||||
\(523\) | −5.74177 | − | 9.94503i | −0.251070 | − | 0.434866i | 0.712751 | − | 0.701417i | \(-0.247449\pi\) |
−0.963821 | + | 0.266552i | \(0.914116\pi\) | |||||||
\(524\) | 2.39769 | − | 13.5980i | 0.104744 | − | 0.594030i | ||||
\(525\) | −1.04908 | + | 0.374833i | −0.0457854 | + | 0.0163591i | ||||
\(526\) | −11.1639 | − | 4.06333i | −0.486770 | − | 0.177170i | ||||
\(527\) | 18.5983 | + | 6.76923i | 0.810155 | + | 0.294872i | ||||
\(528\) | 3.10828 | − | 1.11058i | 0.135271 | − | 0.0483320i | ||||
\(529\) | −2.91230 | + | 16.5165i | −0.126622 | + | 0.718109i | ||||
\(530\) | 2.81148 | + | 4.86963i | 0.122123 | + | 0.211523i | ||||
\(531\) | 9.35946 | + | 0.110524i | 0.406166 | + | 0.00479633i | ||||
\(532\) | −0.954309 | + | 1.65291i | −0.0413745 | + | 0.0716628i | ||||
\(533\) | 2.40949 | + | 2.02180i | 0.104367 | + | 0.0875740i | ||||
\(534\) | 12.3510 | + | 21.6873i | 0.534481 | + | 0.938502i | ||||
\(535\) | −4.17508 | − | 23.6781i | −0.180504 | − | 1.02369i | ||||
\(536\) | 3.03772 | − | 2.54895i | 0.131209 | − | 0.110098i | ||||
\(537\) | 19.7347 | + | 7.31510i | 0.851617 | + | 0.315670i | ||||
\(538\) | −20.8058 | + | 7.57270i | −0.897003 | + | 0.326482i | ||||
\(539\) | 1.90568 | 0.0820834 | ||||||||
\(540\) | 2.35842 | − | 12.1163i | 0.101490 | − | 0.521401i | ||||
\(541\) | 1.23159 | 0.0529501 | 0.0264751 | − | 0.999649i | \(-0.491572\pi\) | ||||
0.0264751 | + | 0.999649i | \(0.491572\pi\) | |||||||
\(542\) | −3.32516 | + | 1.21026i | −0.142828 | + | 0.0519850i | ||||
\(543\) | 2.49834 | + | 14.6749i | 0.107214 | + | 0.629761i | ||||
\(544\) | −3.03672 | + | 2.54811i | −0.130198 | + | 0.109249i | ||||
\(545\) | −6.96295 | − | 39.4889i | −0.298260 | − | 1.69152i | ||||
\(546\) | −0.599449 | − | 0.00353926i | −0.0256540 | − | 0.000151466i | ||||
\(547\) | −30.0680 | − | 25.2300i | −1.28561 | − | 1.07876i | −0.992444 | − | 0.122697i | \(-0.960846\pi\) |
−0.293169 | − | 0.956061i | \(-0.594710\pi\) | |||||||
\(548\) | 3.84445 | − | 6.65879i | 0.164227 | − | 0.284449i | ||||
\(549\) | −8.56283 | + | 7.01445i | −0.365453 | + | 0.299369i | ||||
\(550\) | 0.612852 | + | 1.06149i | 0.0261321 | + | 0.0452621i | ||||
\(551\) | 2.65647 | − | 15.0656i | 0.113169 | − | 0.641815i | ||||
\(552\) | 3.29495 | + | 2.79811i | 0.140242 | + | 0.119095i | ||||
\(553\) | 3.98400 | + | 1.45006i | 0.169417 | + | 0.0616627i | ||||
\(554\) | 25.9372 | + | 9.44036i | 1.10197 | + | 0.401083i | ||||
\(555\) | 1.32694 | − | 7.27406i | 0.0563256 | − | 0.308767i | ||||
\(556\) | 3.89456 | − | 22.0871i | 0.165166 | − | 0.936703i | ||||
\(557\) | −1.24983 | − | 2.16478i | −0.0529572 | − | 0.0917245i | 0.838332 | − | 0.545161i | \(-0.183531\pi\) |
−0.891289 | + | 0.453436i | \(0.850198\pi\) | |||||||
\(558\) | 11.3594 | + | 9.76258i | 0.480883 | + | 0.413283i | ||||
\(559\) | 1.73847 | − | 3.01112i | 0.0735294 | − | 0.127357i | ||||
\(560\) | 1.81977 | + | 1.52697i | 0.0768992 | + | 0.0645261i | ||||
\(561\) | 6.60910 | − | 11.2928i | 0.279036 | − | 0.476782i | ||||
\(562\) | −2.61384 | − | 14.8238i | −0.110258 | − | 0.625306i | ||||
\(563\) | −3.85341 | + | 3.23340i | −0.162402 | + | 0.136271i | −0.720367 | − | 0.693593i | \(-0.756027\pi\) |
0.557965 | + | 0.829864i | \(0.311582\pi\) | |||||||
\(564\) | −17.1972 | + | 14.2580i | −0.724134 | + | 0.600371i | ||||
\(565\) | −14.7616 | + | 5.37280i | −0.621027 | + | 0.226035i | ||||
\(566\) | 23.0133 | 0.967321 | ||||||||
\(567\) | 4.31469 | + | 7.89832i | 0.181200 | + | 0.331698i | ||||
\(568\) | −1.34222 | −0.0563183 | ||||||||
\(569\) | −5.78120 | + | 2.10419i | −0.242361 | + | 0.0882120i | −0.460345 | − | 0.887740i | \(-0.652274\pi\) |
0.217984 | + | 0.975952i | \(0.430052\pi\) | |||||||
\(570\) | 6.04553 | − | 5.01228i | 0.253219 | − | 0.209941i | ||||
\(571\) | 8.53072 | − | 7.15812i | 0.356999 | − | 0.299558i | −0.446594 | − | 0.894737i | \(-0.647363\pi\) |
0.803593 | + | 0.595179i | \(0.202919\pi\) | |||||||
\(572\) | 0.114530 | + | 0.649531i | 0.00478873 | + | 0.0271583i | ||||
\(573\) | 18.9735 | − | 32.4195i | 0.792629 | − | 1.35434i | ||||
\(574\) | 6.96188 | + | 5.84171i | 0.290583 | + | 0.243828i | ||||
\(575\) | −0.802611 | + | 1.39016i | −0.0334712 | + | 0.0579738i | ||||
\(576\) | −2.83100 | + | 0.992701i | −0.117958 | + | 0.0413626i | ||||
\(577\) | 19.4406 | + | 33.6721i | 0.809322 | + | 1.40179i | 0.913334 | + | 0.407210i | \(0.133498\pi\) |
−0.104013 | + | 0.994576i | \(0.533168\pi\) | |||||||
\(578\) | 0.223217 | − | 1.26593i | 0.00928462 | − | 0.0526557i | ||||
\(579\) | −2.25495 | + | 12.3612i | −0.0937124 | + | 0.513715i | ||||
\(580\) | −17.8922 | − | 6.51222i | −0.742933 | − | 0.270405i | ||||
\(581\) | −7.30158 | − | 2.65756i | −0.302920 | − | 0.110254i | ||||
\(582\) | −19.1568 | − | 16.2681i | −0.794074 | − | 0.674336i | ||||
\(583\) | −0.783290 | + | 4.44226i | −0.0324406 | + | 0.183980i | ||||
\(584\) | 4.74972 | + | 8.22676i | 0.196545 | + | 0.340426i | ||||
\(585\) | 2.30764 | + | 0.870904i | 0.0954090 | + | 0.0360075i | ||||
\(586\) | 0.366162 | − | 0.634211i | 0.0151260 | − | 0.0261990i | ||||
\(587\) | 15.4533 | + | 12.9668i | 0.637825 | + | 0.535199i | 0.903349 | − | 0.428906i | \(-0.141101\pi\) |
−0.265525 | + | 0.964104i | \(0.585545\pi\) | |||||||
\(588\) | −1.73202 | − | 0.0102262i | −0.0714273 | − | 0.000421720i | ||||
\(589\) | 1.65473 | + | 9.38441i | 0.0681818 | + | 0.386678i | ||||
\(590\) | 5.67775 | − | 4.76420i | 0.233749 | − | 0.196139i | ||||
\(591\) | −5.99416 | − | 35.2089i | −0.246567 | − | 1.44830i | ||||
\(592\) | −1.68868 | + | 0.614631i | −0.0694045 | + | 0.0252612i | ||||
\(593\) | −4.64427 | −0.190718 | −0.0953588 | − | 0.995443i | \(-0.530400\pi\) | ||||
−0.0953588 | + | 0.995443i | \(0.530400\pi\) | |||||||
\(594\) | 7.69706 | − | 6.22966i | 0.315814 | − | 0.255606i | ||||
\(595\) | 9.41701 | 0.386060 | ||||||||
\(596\) | 3.00996 | − | 1.09554i | 0.123293 | − | 0.0448749i | ||||
\(597\) | 3.18877 | + | 1.18199i | 0.130508 | + | 0.0483755i | ||||
\(598\) | −0.661686 | + | 0.555220i | −0.0270583 | + | 0.0227046i | ||||
\(599\) | 0.0810987 | + | 0.459934i | 0.00331360 | + | 0.0187924i | 0.986420 | − | 0.164244i | \(-0.0525185\pi\) |
−0.983106 | + | 0.183036i | \(0.941407\pi\) | |||||||
\(600\) | −0.551309 | − | 0.968049i | −0.0225071 | − | 0.0395205i | ||||
\(601\) | −8.97886 | − | 7.53416i | −0.366255 | − | 0.307325i | 0.441023 | − | 0.897496i | \(-0.354616\pi\) |
−0.807278 | + | 0.590171i | \(0.799060\pi\) | |||||||
\(602\) | 5.02305 | − | 8.70019i | 0.204724 | − | 0.354593i | ||||
\(603\) | 6.06943 | − | 10.2316i | 0.247166 | − | 0.416664i | ||||
\(604\) | 6.64371 | + | 11.5072i | 0.270329 | + | 0.468223i | ||||
\(605\) | 3.03952 | − | 17.2380i | 0.123574 | − | 0.700823i | ||||
\(606\) | −22.3415 | + | 7.98259i | −0.907563 | + | 0.324271i | ||||
\(607\) | −34.3390 | − | 12.4984i | −1.39378 | − | 0.507294i | −0.467453 | − | 0.884018i | \(-0.654828\pi\) |
−0.926326 | + | 0.376724i | \(0.877051\pi\) | |||||||
\(608\) | −1.79351 | − | 0.652786i | −0.0727366 | − | 0.0264740i | ||||
\(609\) | 13.0733 | − | 4.67108i | 0.529758 | − | 0.189282i | ||||
\(610\) | −1.52203 | + | 8.63185i | −0.0616251 | + | 0.349493i | ||||
\(611\) | −2.23190 | − | 3.86576i | −0.0902929 | − | 0.156392i | ||||
\(612\) | −6.06743 | + | 10.2283i | −0.245261 | + | 0.413453i | ||||
\(613\) | −19.6703 | + | 34.0699i | −0.794475 | + | 1.37607i | 0.128697 | + | 0.991684i | \(0.458920\pi\) |
−0.923172 | + | 0.384387i | \(0.874413\pi\) | |||||||
\(614\) | −10.9513 | − | 9.18926i | −0.441960 | − | 0.370848i | ||||
\(615\) | −18.5052 | − | 32.4935i | −0.746201 | − | 1.31026i | ||||
\(616\) | 0.330918 | + | 1.87673i | 0.0133330 | + | 0.0756155i | ||||
\(617\) | 26.4702 | − | 22.2112i | 1.06565 | − | 0.894188i | 0.0710004 | − | 0.997476i | \(-0.477381\pi\) |
0.994651 | + | 0.103288i | \(0.0329364\pi\) | |||||||
\(618\) | 21.6689 | + | 8.03202i | 0.871649 | + | 0.323095i | ||||
\(619\) | −16.3927 | + | 5.96644i | −0.658877 | + | 0.239811i | −0.649751 | − | 0.760147i | \(-0.725127\pi\) |
−0.00912534 | + | 0.999958i | \(0.502905\pi\) | |||||||
\(620\) | 11.8604 | 0.476325 | ||||||||
\(621\) | 12.1057 | + | 4.65053i | 0.485784 | + | 0.186620i | ||||
\(622\) | 6.10431 | 0.244761 | ||||||||
\(623\) | −13.5404 | + | 4.92829i | −0.542483 | + | 0.197448i | ||||
\(624\) | −0.100608 | − | 0.590956i | −0.00402753 | − | 0.0236572i | ||||
\(625\) | −21.2978 | + | 17.8709i | −0.851910 | + | 0.714837i | ||||
\(626\) | 2.37172 | + | 13.4507i | 0.0947928 | + | 0.537597i | ||||
\(627\) | 6.29973 | + | 0.0371947i | 0.251587 | + | 0.00148541i | ||||
\(628\) | 8.26874 | + | 6.93830i | 0.329959 | + | 0.276868i | ||||
\(629\) | −3.56192 | + | 6.16942i | −0.142023 | + | 0.245991i | ||||
\(630\) | 6.66758 | + | 2.51635i | 0.265643 | + | 0.100254i | ||||
\(631\) | 18.9580 | + | 32.8363i | 0.754708 | + | 1.30719i | 0.945520 | + | 0.325565i | \(0.105555\pi\) |
−0.190812 | + | 0.981627i | \(0.561112\pi\) | |||||||
\(632\) | −0.736213 | + | 4.17527i | −0.0292850 | + | 0.166083i | ||||
\(633\) | 9.55847 | + | 8.11716i | 0.379915 | + | 0.322628i | ||||
\(634\) | 0.0597104 | + | 0.0217328i | 0.00237140 | + | 0.000863120i | ||||
\(635\) | 13.3759 | + | 4.86843i | 0.530807 | + | 0.193198i | ||||
\(636\) | 0.735750 | − | 4.03325i | 0.0291744 | − | 0.159929i | ||||
\(637\) | 0.0600993 | − | 0.340840i | 0.00238122 | − | 0.0135046i | ||||
\(638\) | −7.63721 | − | 13.2280i | −0.302360 | − | 0.523703i | ||||
\(639\) | −3.79982 | + | 1.33242i | −0.150319 | + | 0.0527099i | ||||
\(640\) | −1.18777 | + | 2.05728i | −0.0469507 | + | 0.0813210i | ||||
\(641\) | −13.8270 | − | 11.6022i | −0.546134 | − | 0.458261i | 0.327496 | − | 0.944853i | \(-0.393795\pi\) |
−0.873629 | + | 0.486592i | \(0.838240\pi\) | |||||||
\(642\) | −8.85471 | + | 15.1298i | −0.349467 | + | 0.597126i | ||||
\(643\) | −2.88880 | − | 16.3832i | −0.113923 | − | 0.646091i | −0.987278 | − | 0.159006i | \(-0.949171\pi\) |
0.873354 | − | 0.487085i | \(-0.161940\pi\) | |||||||
\(644\) | −1.91185 | + | 1.60423i | −0.0753373 | + | 0.0632155i | ||||
\(645\) | −31.8210 | + | 26.3824i | −1.25295 | + | 1.03881i | ||||
\(646\) | −7.10977 | + | 2.58775i | −0.279730 | + | 0.101814i | ||||
\(647\) | −31.4385 | −1.23597 | −0.617987 | − | 0.786188i | \(-0.712052\pi\) | ||||
−0.617987 | + | 0.786188i | \(0.712052\pi\) | |||||||
\(648\) | −7.02909 | + | 5.62067i | −0.276129 | + | 0.220801i | ||||
\(649\) | 5.94579 | 0.233393 | ||||||||
\(650\) | 0.209180 | − | 0.0761354i | 0.00820473 | − | 0.00298628i | ||||
\(651\) | −6.65717 | + | 5.51938i | −0.260915 | + | 0.216322i | ||||
\(652\) | −4.42449 | + | 3.71258i | −0.173276 | + | 0.145396i | ||||
\(653\) | −2.43255 | − | 13.7957i | −0.0951930 | − | 0.539866i | −0.994688 | − | 0.102935i | \(-0.967176\pi\) |
0.899495 | − | 0.436931i | \(-0.143935\pi\) | |||||||
\(654\) | −14.7674 | + | 25.2326i | −0.577449 | + | 0.986672i | ||||
\(655\) | −25.1269 | − | 21.0840i | −0.981789 | − | 0.823819i | ||||
\(656\) | −4.54404 | + | 7.87052i | −0.177415 | + | 0.307292i | ||||
\(657\) | 21.6132 | + | 18.5749i | 0.843210 | + | 0.724675i | ||||
\(658\) | −6.44874 | − | 11.1696i | −0.251398 | − | 0.435434i | ||||
\(659\) | 8.57069 | − | 48.6068i | 0.333867 | − | 1.89345i | −0.104280 | − | 0.994548i | \(-0.533254\pi\) |
0.438146 | − | 0.898904i | \(-0.355635\pi\) | |||||||
\(660\) | 1.40715 | − | 7.71372i | 0.0547730 | − | 0.300256i | ||||
\(661\) | −11.1971 | − | 4.07541i | −0.435517 | − | 0.158515i | 0.114952 | − | 0.993371i | \(-0.463329\pi\) |
−0.550469 | + | 0.834856i | \(0.685551\pi\) | |||||||
\(662\) | 13.0863 | + | 4.76301i | 0.508613 | + | 0.185120i | ||||
\(663\) | −1.81134 | − | 1.53821i | −0.0703466 | − | 0.0597391i | ||||
\(664\) | 1.34928 | − | 7.65213i | 0.0523621 | − | 0.296960i | ||||
\(665\) | 2.26700 | + | 3.92656i | 0.0879104 | + | 0.152265i | ||||
\(666\) | −4.17052 | + | 3.41638i | −0.161604 | + | 0.132382i | ||||
\(667\) | 10.0019 | − | 17.3239i | 0.387277 | − | 0.670783i | ||||
\(668\) | −3.72495 | − | 3.12560i | −0.144123 | − | 0.120933i | ||||
\(669\) | −13.6044 | − | 0.0803229i | −0.525977 | − | 0.00310546i | ||||
\(670\) | −1.63578 | − | 9.27699i | −0.0631959 | − | 0.358401i | ||||
\(671\) | −5.38634 | + | 4.51968i | −0.207937 | + | 0.174480i | ||||
\(672\) | −0.290691 | − | 1.70748i | −0.0112137 | − | 0.0658676i | ||||
\(673\) | 41.4523 | − | 15.0874i | 1.59787 | − | 0.581577i | 0.618880 | − | 0.785485i | \(-0.287587\pi\) |
0.978990 | + | 0.203908i | \(0.0653644\pi\) | |||||||
\(674\) | −22.8856 | −0.881520 | ||||||||
\(675\) | −2.52174 | − | 2.19326i | −0.0970617 | − | 0.0844186i | ||||
\(676\) | −12.8802 | −0.495393 | ||||||||
\(677\) | −37.9511 | + | 13.8131i | −1.45858 | + | 0.530879i | −0.944973 | − | 0.327147i | \(-0.893913\pi\) |
−0.513605 | + | 0.858027i | \(0.671690\pi\) | |||||||
\(678\) | 10.7397 | + | 3.98088i | 0.412455 | + | 0.152885i | ||||
\(679\) | 11.1154 | − | 9.32695i | 0.426571 | − | 0.357936i | ||||
\(680\) | 1.63525 | + | 9.27394i | 0.0627088 | + | 0.355640i | ||||
\(681\) | −18.8696 | − | 33.1333i | −0.723083 | − | 1.26967i | ||||
\(682\) | 7.28853 | + | 6.11581i | 0.279092 | + | 0.234186i | ||||
\(683\) | 14.6084 | − | 25.3026i | 0.558977 | − | 0.968176i | −0.438606 | − | 0.898680i | \(-0.644527\pi\) |
0.997582 | − | 0.0694962i | \(-0.0221392\pi\) | |||||||
\(684\) | −5.72546 | − | 0.0676106i | −0.218918 | − | 0.00258516i | ||||
\(685\) | −9.13265 | − | 15.8182i | −0.348940 | − | 0.604383i | ||||
\(686\) | 0.173648 | − | 0.984808i | 0.00662992 | − | 0.0376001i | ||||
\(687\) | 1.97934 | − | 0.707216i | 0.0755166 | − | 0.0269820i | ||||
\(688\) | 9.44026 | + | 3.43597i | 0.359906 | + | 0.130995i | ||||
\(689\) | 0.769817 | + | 0.280191i | 0.0293277 | + | 0.0106744i | ||||
\(690\) | 9.67013 | − | 3.45512i | 0.368135 | − | 0.131534i | ||||
\(691\) | −7.15437 | + | 40.5745i | −0.272165 | + | 1.54352i | 0.475660 | + | 0.879629i | \(0.342209\pi\) |
−0.747825 | + | 0.663896i | \(0.768902\pi\) | |||||||
\(692\) | 0.815893 | + | 1.41317i | 0.0310156 | + | 0.0537206i | ||||
\(693\) | 2.79986 | + | 4.98451i | 0.106358 | + | 0.189346i | ||||
\(694\) | −18.1394 | + | 31.4183i | −0.688561 | + | 1.19262i | ||||
\(695\) | −40.8135 | − | 34.2466i | −1.54814 | − | 1.29905i | ||||
\(696\) | 6.87028 | + | 12.0636i | 0.260417 | + | 0.457270i | ||||
\(697\) | 6.25596 | + | 35.4793i | 0.236961 | + | 1.34387i | ||||
\(698\) | 17.3803 | − | 14.5838i | 0.657853 | − | 0.552004i | ||||
\(699\) | 29.4034 | + | 10.8990i | 1.11214 | + | 0.412238i | ||||
\(700\) | 0.604396 | − | 0.219982i | 0.0228440 | − | 0.00831455i | ||||
\(701\) | −24.7627 | −0.935276 | −0.467638 | − | 0.883920i | \(-0.654895\pi\) | ||||
−0.467638 | + | 0.883920i | \(0.654895\pi\) | |||||||
\(702\) | −0.871463 | − | 1.57312i | −0.0328913 | − | 0.0593737i | ||||
\(703\) | −3.42990 | −0.129361 | ||||||||
\(704\) | −1.79075 | + | 0.651780i | −0.0674915 | + | 0.0245649i | ||||
\(705\) | 8.90634 | + | 52.3147i | 0.335432 | + | 1.97029i | ||||
\(706\) | 20.7238 | − | 17.3893i | 0.779950 | − | 0.654456i | ||||
\(707\) | −2.37855 | − | 13.4894i | −0.0894545 | − | 0.507322i | ||||
\(708\) | −5.40397 | − | 0.0319060i | −0.203094 | − | 0.00119910i | ||||
\(709\) | 2.40825 | + | 2.02076i | 0.0904437 | + | 0.0758913i | 0.686888 | − | 0.726763i | \(-0.258976\pi\) |
−0.596445 | + | 0.802654i | \(0.703421\pi\) | |||||||
\(710\) | −1.59425 | + | 2.76132i | −0.0598311 | + | 0.103631i | ||||
\(711\) | 2.06058 | + | 12.5510i | 0.0772778 | + | 0.470700i | ||||
\(712\) | −7.20467 | − | 12.4789i | −0.270006 | − | 0.467665i | ||||
\(713\) | −2.16374 | + | 12.2712i | −0.0810328 | + | 0.459560i | ||||
\(714\) | −5.23361 | − | 4.44444i | −0.195863 | − | 0.166329i | ||||
\(715\) | 1.47230 | + | 0.535874i | 0.0550609 | + | 0.0200405i | ||||
\(716\) | −11.4186 | − | 4.15603i | −0.426733 | − | 0.155318i | ||||
\(717\) | 9.48140 | − | 51.9754i | 0.354089 | − | 1.94106i | ||||
\(718\) | −5.82686 | + | 33.0458i | −0.217456 | + | 1.23326i | ||||
\(719\) | 9.48235 | + | 16.4239i | 0.353632 | + | 0.612508i | 0.986883 | − | 0.161438i | \(-0.0516132\pi\) |
−0.633251 | + | 0.773947i | \(0.718280\pi\) | |||||||
\(720\) | −1.32031 | + | 7.00325i | −0.0492051 | + | 0.260996i | ||||
\(721\) | −6.67116 | + | 11.5548i | −0.248447 | + | 0.430323i | ||||
\(722\) | 11.7643 | + | 9.87140i | 0.437821 | + | 0.367376i | ||||
\(723\) | −21.7906 | + | 37.2331i | −0.810402 | + | 1.38471i | ||||
\(724\) | −1.49241 | − | 8.46390i | −0.0554651 | − | 0.314558i | ||||
\(725\) | −3.94917 | + | 3.31374i | −0.146668 | + | 0.123069i | ||||
\(726\) | −9.82485 | + | 8.14566i | −0.364634 | + | 0.302314i | ||||
\(727\) | 21.1969 | − | 7.71503i | 0.786148 | − | 0.286135i | 0.0824143 | − | 0.996598i | \(-0.473737\pi\) |
0.703734 | + | 0.710464i | \(0.251515\pi\) | |||||||
\(728\) | 0.346098 | 0.0128272 | ||||||||
\(729\) | −14.3197 | + | 22.8899i | −0.530359 | + | 0.847773i | ||||
\(730\) | 22.5663 | 0.835216 | ||||||||
\(731\) | 37.4227 | − | 13.6207i | 1.38413 | − | 0.503781i | ||||
\(732\) | 4.91976 | − | 4.07891i | 0.181839 | − | 0.150761i | ||||
\(733\) | −0.275415 | + | 0.231101i | −0.0101727 | + | 0.00853590i | −0.647860 | − | 0.761760i | \(-0.724336\pi\) |
0.637687 | + | 0.770296i | \(0.279891\pi\) | |||||||
\(734\) | 2.72278 | + | 15.4417i | 0.100500 | + | 0.569962i | ||||
\(735\) | −2.07828 | + | 3.55110i | −0.0766585 | + | 0.130984i | ||||
\(736\) | −1.91185 | − | 1.60423i | −0.0704716 | − | 0.0591327i | ||||
\(737\) | 3.77845 | − | 6.54446i | 0.139181 | − | 0.241068i | ||||
\(738\) | −5.05110 | + | 26.7923i | −0.185934 | + | 0.986238i | ||||
\(739\) | 15.7925 | + | 27.3534i | 0.580936 | + | 1.00621i | 0.995369 | + | 0.0961312i | \(0.0306468\pi\) |
−0.414432 | + | 0.910080i | \(0.636020\pi\) | |||||||
\(740\) | −0.741302 | + | 4.20413i | −0.0272508 | + | 0.154547i | ||||
\(741\) | 0.205327 | − | 1.12556i | 0.00754286 | − | 0.0413486i | ||||
\(742\) | 2.22428 | + | 0.809570i | 0.0816557 | + | 0.0297203i | ||||
\(743\) | −0.349432 | − | 0.127183i | −0.0128194 | − | 0.00466589i | 0.335602 | − | 0.942004i | \(-0.391060\pi\) |
−0.348422 | + | 0.937338i | \(0.613282\pi\) | |||||||
\(744\) | −6.59154 | − | 5.59761i | −0.241657 | − | 0.205218i | ||||
\(745\) | 1.32132 | − | 7.49356i | 0.0484093 | − | 0.274543i | ||||
\(746\) | 12.0531 | + | 20.8765i | 0.441294 | + | 0.764344i | ||||
\(747\) | −3.77648 | − | 23.0026i | −0.138174 | − | 0.841620i | ||||
\(748\) | −3.77720 | + | 6.54231i | −0.138108 | + | 0.239211i | ||||
\(749\) | −7.75330 | − | 6.50579i | −0.283299 | − | 0.237716i | ||||
\(750\) | 17.9260 | + | 0.105839i | 0.654566 | + | 0.00386468i | ||||
\(751\) | −6.54925 | − | 37.1426i | −0.238985 | − | 1.35535i | −0.834056 | − | 0.551680i | \(-0.813987\pi\) |
0.595070 | − | 0.803674i | \(-0.297124\pi\) | |||||||
\(752\) | 9.88005 | − | 8.29035i | 0.360288 | − | 0.302318i | ||||
\(753\) | −1.11140 | − | 6.52821i | −0.0405016 | − | 0.237901i | ||||
\(754\) | −2.60675 | + | 0.948781i | −0.0949324 | + | 0.0345526i | ||||
\(755\) | 31.5648 | 1.14876 | ||||||||
\(756\) | −2.51797 | − | 4.54531i | −0.0915776 | − | 0.165311i | ||||
\(757\) | 24.6362 | 0.895416 | 0.447708 | − | 0.894180i | \(-0.352240\pi\) | ||||
0.447708 | + | 0.894180i | \(0.352240\pi\) | |||||||
\(758\) | 18.0824 | − | 6.58145i | 0.656782 | − | 0.239049i | ||||
\(759\) | 7.72419 | + | 2.86313i | 0.280370 | + | 0.103925i | ||||
\(760\) | −3.47324 | + | 2.91440i | −0.125988 | + | 0.105716i | ||||
\(761\) | −6.85593 | − | 38.8819i | −0.248527 | − | 1.40947i | −0.812156 | − | 0.583440i | \(-0.801706\pi\) |
0.563629 | − | 0.826028i | \(-0.309405\pi\) | |||||||
\(762\) | −5.13611 | − | 9.01855i | −0.186062 | − | 0.326708i | ||||
\(763\) | −12.9305 | − | 10.8500i | −0.468115 | − | 0.392795i | ||||
\(764\) | −10.8437 | + | 18.7818i | −0.392310 | + | 0.679500i | ||||
\(765\) | 13.8356 | + | 24.6312i | 0.500228 | + | 0.890543i | ||||
\(766\) | −9.28677 | − | 16.0852i | −0.335545 | − | 0.581181i | ||||
\(767\) | 0.187512 | − | 1.06343i | 0.00677067 | − | 0.0383984i | ||||
\(768\) | 1.63106 | − | 0.582776i | 0.0588560 | − | 0.0210291i | ||||
\(769\) | 32.2229 | + | 11.7282i | 1.16199 | + | 0.422929i | 0.849807 | − | 0.527094i | \(-0.176718\pi\) |
0.312180 | + | 0.950023i | \(0.398941\pi\) | |||||||
\(770\) | 4.25400 | + | 1.54833i | 0.153304 | + | 0.0557979i | ||||
\(771\) | −13.4651 | + | 4.81105i | −0.484933 | + | 0.173266i | ||||
\(772\) | 1.25974 | − | 7.14432i | 0.0453389 | − | 0.257130i | ||||
\(773\) | 10.8230 | + | 18.7459i | 0.389275 | + | 0.674244i | 0.992352 | − | 0.123439i | \(-0.0393922\pi\) |
−0.603077 | + | 0.797683i | \(0.706059\pi\) | |||||||
\(774\) | 30.1362 | + | 0.355872i | 1.08322 | + | 0.0127916i | ||||
\(775\) | 1.60562 | − | 2.78101i | 0.0576755 | − | 0.0998970i | ||||
\(776\) | 11.1154 | + | 9.32695i | 0.399021 | + | 0.334818i | ||||
\(777\) | −1.54036 | − | 2.70473i | −0.0552600 | − | 0.0970318i | ||||
\(778\) | 4.11924 | + | 23.3614i | 0.147682 | + | 0.837545i | ||||
\(779\) | −13.2876 | + | 11.1496i | −0.476077 | + | 0.399476i | ||||
\(780\) | −1.33526 | − | 0.494942i | −0.0478100 | − | 0.0177218i | ||||
\(781\) | −2.40358 | + | 0.874833i | −0.0860070 | + | 0.0313040i | ||||
\(782\) | −9.89350 | −0.353791 | ||||||||
\(783\) | 31.4253 | + | 27.3319i | 1.12305 | + | 0.976762i | ||||
\(784\) | 1.00000 | 0.0357143 | ||||||||
\(785\) | 24.0954 | − | 8.76999i | 0.860000 | − | 0.313014i | ||||
\(786\) | 4.01379 | + | 23.5765i | 0.143167 | + | 0.840946i | ||||
\(787\) | −13.6152 | + | 11.4245i | −0.485330 | + | 0.407240i | −0.852349 | − | 0.522973i | \(-0.824823\pi\) |
0.367019 | + | 0.930213i | \(0.380378\pi\) | |||||||
\(788\) | 3.58069 | + | 20.3071i | 0.127557 | + | 0.723410i | ||||
\(789\) | 20.5771 | + | 0.121491i | 0.732563 | + | 0.00432519i | ||||
\(790\) | 7.71524 | + | 6.47386i | 0.274496 | + | 0.230329i | ||||
\(791\) | −3.30641 | + | 5.72687i | −0.117562 | + | 0.203624i | ||||
\(792\) | −4.42259 | + | 3.62287i | −0.157150 | + | 0.128733i | ||||
\(793\) | 0.638497 | + | 1.10591i | 0.0226737 | + | 0.0392720i | ||||
\(794\) | 0.328819 | − | 1.86482i | 0.0116693 | − | 0.0661801i | ||||
\(795\) | −7.42361 | − | 6.30421i | −0.263288 | − | 0.223587i | ||||
\(796\) | −1.84504 | − | 0.671538i | −0.0653956 | − | 0.0238021i | ||||
\(797\) | 28.1483 | + | 10.2451i | 0.997064 | + | 0.362902i | 0.788452 | − | 0.615097i | \(-0.210883\pi\) |
0.208612 | + | 0.977998i | \(0.433105\pi\) | |||||||
\(798\) | 0.593262 | − | 3.25216i | 0.0210012 | − | 0.115125i | ||||
\(799\) | 8.87823 | − | 50.3509i | 0.314089 | − | 1.78129i | ||||
\(800\) | 0.321593 | + | 0.557015i | 0.0113700 | + | 0.0196934i | ||||
\(801\) | −32.7842 | − | 28.1755i | −1.15837 | − | 0.995533i | ||||
\(802\) | 1.99525 | − | 3.45587i | 0.0704546 | − | 0.122031i | ||||
\(803\) | 13.8676 | + | 11.6363i | 0.489377 | + | 0.410636i | ||||
\(804\) | −3.46925 | + | 5.92781i | −0.122351 | + | 0.209058i | ||||
\(805\) | 1.02951 | + | 5.83865i | 0.0362855 | + | 0.205785i | ||||
\(806\) | 1.32370 | − | 1.11072i | 0.0466253 | − | 0.0391233i | ||||
\(807\) | 29.5225 | − | 24.4767i | 1.03924 | − | 0.861621i | ||||
\(808\) | 12.8715 | − | 4.68483i | 0.452816 | − | 0.164812i | ||||
\(809\) | −45.0164 | −1.58269 | −0.791346 | − | 0.611369i | \(-0.790619\pi\) | ||||
−0.791346 | + | 0.611369i | \(0.790619\pi\) | |||||||
\(810\) | 3.21434 | + | 21.1368i | 0.112940 | + | 0.742673i | ||||
\(811\) | −18.1317 | −0.636689 | −0.318344 | − | 0.947975i | \(-0.603127\pi\) | ||||
−0.318344 | + | 0.947975i | \(0.603127\pi\) | |||||||
\(812\) | −7.53184 | + | 2.74137i | −0.264316 | + | 0.0962031i | ||||
\(813\) | 4.71824 | − | 3.91183i | 0.165476 | − | 0.137194i | ||||
\(814\) | −2.62341 | + | 2.20130i | −0.0919505 | + | 0.0771556i | ||||
\(815\) | 2.38255 | + | 13.5121i | 0.0834569 | + | 0.473308i | ||||
\(816\) | 3.46811 | − | 5.92586i | 0.121408 | − | 0.207447i | ||||
\(817\) | 14.6883 | + | 12.3249i | 0.513878 | + | 0.431195i | ||||
\(818\) | −14.9207 | + | 25.8434i | −0.521689 | + | 0.903592i | ||||
\(819\) | 0.979802 | − | 0.343572i | 0.0342371 | − | 0.0120054i | ||||
\(820\) | 10.7946 | + | 18.6967i | 0.376962 | + | 0.652918i | ||||
\(821\) | −9.79649 | + | 55.5586i | −0.341900 | + | 1.93901i | 0.00198540 | + | 0.999998i | \(0.499368\pi\) |
−0.343885 | + | 0.939012i | \(0.611743\pi\) | |||||||
\(822\) | −2.38997 | + | 13.1014i | −0.0833596 | + | 0.456963i | ||||
\(823\) | −45.8486 | − | 16.6875i | −1.59818 | − | 0.581690i | −0.619127 | − | 0.785291i | \(-0.712513\pi\) |
−0.979054 | + | 0.203601i | \(0.934736\pi\) | |||||||
\(824\) | −12.5377 | − | 4.56334i | −0.436771 | − | 0.158972i | ||||
\(825\) | −1.61821 | − | 1.37420i | −0.0563389 | − | 0.0478436i | ||||
\(826\) | 0.541789 | − | 3.07264i | 0.0188512 | − | 0.106911i | ||||
\(827\) | −15.0924 | − | 26.1409i | −0.524816 | − | 0.909008i | −0.999582 | − | 0.0288959i | \(-0.990801\pi\) |
0.474767 | − | 0.880112i | \(-0.342532\pi\) | |||||||
\(828\) | −7.00495 | − | 2.64368i | −0.243439 | − | 0.0918741i | ||||
\(829\) | 1.07321 | − | 1.85885i | 0.0372740 | − | 0.0645605i | −0.846787 | − | 0.531933i | \(-0.821466\pi\) |
0.884061 | + | 0.467372i | \(0.154799\pi\) | |||||||
\(830\) | −14.1399 | − | 11.8648i | −0.490804 | − | 0.411833i | ||||
\(831\) | −47.8068 | − | 0.282260i | −1.65840 | − | 0.00979151i | ||||
\(832\) | 0.0600993 | + | 0.340840i | 0.00208357 | + | 0.0118165i | ||||
\(833\) | 3.03672 | − | 2.54811i | 0.105216 | − | 0.0882868i | ||||
\(834\) | 6.51959 | + | 38.2952i | 0.225755 | + | 1.32605i | ||||
\(835\) | −10.8546 | + | 3.95075i | −0.375639 | + | 0.136721i | ||||
\(836\) | −3.63721 | −0.125796 | ||||||||
\(837\) | −24.2174 | − | 9.30338i | −0.837075 | − | 0.321572i | ||||
\(838\) | 4.11229 | 0.142057 | ||||||||
\(839\) | −38.5535 | + | 14.0323i | −1.33101 | + | 0.484450i | −0.906971 | − | 0.421192i | \(-0.861612\pi\) |
−0.424043 | + | 0.905642i | \(0.639390\pi\) | |||||||
\(840\) | −3.85804 | − | 1.43006i | −0.133115 | − | 0.0493419i | ||||
\(841\) | 26.9983 | − | 22.6542i | 0.930975 | − | 0.781181i | ||||
\(842\) | −5.64475 | − | 32.0129i | −0.194531 | − | 1.10324i | ||||
\(843\) | 12.9023 | + | 22.6554i | 0.444380 | + | 0.780292i | ||||
\(844\) | −5.54616 | − | 4.65378i | −0.190907 | − | 0.160190i | ||||
\(845\) | −15.2987 | + | 26.4982i | −0.526292 | + | 0.911565i | ||||
\(846\) | 19.7406 | − | 33.2779i | 0.678694 | − | 1.14412i | ||||
\(847\) | −3.68420 | − | 6.38121i | −0.126590 | − | 0.219261i | ||||
\(848\) | −0.411030 | + | 2.33106i | −0.0141148 | + | 0.0800491i | ||||
\(849\) | −37.5362 | + | 13.4116i | −1.28824 | + | 0.460285i | ||||
\(850\) | 2.39592 | + | 0.872044i | 0.0821794 | + | 0.0299109i | ||||
\(851\) | −4.21451 | − | 1.53396i | −0.144472 | − | 0.0525834i | ||||
\(852\) | 2.18925 | − | 0.782215i | 0.0750024 | − | 0.0267982i | ||||
\(853\) | −1.93661 | + | 10.9831i | −0.0663084 | + | 0.376054i | 0.933537 | + | 0.358481i | \(0.116705\pi\) |
−0.999846 | + | 0.0175731i | \(0.994406\pi\) | |||||||
\(854\) | 1.84485 | + | 3.19537i | 0.0631293 | + | 0.109343i | ||||
\(855\) | −6.93962 | + | 11.6985i | −0.237330 | + | 0.400082i | ||||
\(856\) | 5.06060 | − | 8.76522i | 0.172968 | − | 0.299589i | ||||
\(857\) | 32.4176 | + | 27.2016i | 1.10736 | + | 0.929188i | 0.997898 | − | 0.0648031i | \(-0.0206419\pi\) |
0.109465 | + | 0.993991i | \(0.465086\pi\) | |||||||
\(858\) | −0.565337 | − | 0.992682i | −0.0193003 | − | 0.0338896i | ||||
\(859\) | −6.03469 | − | 34.2244i | −0.205901 | − | 1.16772i | −0.896016 | − | 0.444022i | \(-0.853551\pi\) |
0.690115 | − | 0.723700i | \(-0.257560\pi\) | |||||||
\(860\) | 18.2816 | − | 15.3401i | 0.623397 | − | 0.523092i | ||||
\(861\) | −14.7597 | − | 5.47099i | −0.503009 | − | 0.186451i | ||||
\(862\) | −18.9644 | + | 6.90246i | −0.645928 | + | 0.235099i | ||||
\(863\) | 45.3907 | 1.54512 | 0.772558 | − | 0.634944i | \(-0.218977\pi\) | ||||
0.772558 | + | 0.634944i | \(0.218977\pi\) | |||||||
\(864\) | 4.03902 | − | 3.26900i | 0.137410 | − | 0.111214i | ||||
\(865\) | 3.87637 | 0.131801 | ||||||||
\(866\) | −34.0614 | + | 12.3973i | −1.15745 | + | 0.421279i | ||||
\(867\) | 0.373671 | + | 2.19490i | 0.0126905 | + | 0.0745426i | ||||
\(868\) | 3.82464 | − | 3.20925i | 0.129817 | − | 0.108929i | ||||
\(869\) | 1.40299 | + | 7.95673i | 0.0475930 | + | 0.269913i | ||||
\(870\) | 32.9785 | + | 0.194711i | 1.11808 | + | 0.00660132i | ||||
\(871\) | −1.05135 | − | 0.882186i | −0.0356236 | − | 0.0298917i | ||||
\(872\) | 8.43978 | − | 14.6181i | 0.285807 | − | 0.495032i | ||||
\(873\) | 40.7266 | + | 15.3703i | 1.37839 | + | 0.520205i | ||||
\(874\) | −2.38171 | − | 4.12523i | −0.0805624 | − | 0.139538i | ||||
\(875\) | −1.79722 | + | 10.1925i | −0.0607572 | + | 0.344571i | ||||
\(876\) | −12.5415 | − | 10.6503i | −0.423737 | − | 0.359842i | ||||
\(877\) | 15.1181 | + | 5.50254i | 0.510502 | + | 0.185807i | 0.584411 | − | 0.811457i | \(-0.301325\pi\) |
−0.0739096 | + | 0.997265i | \(0.523548\pi\) | |||||||
\(878\) | −28.4329 | − | 10.3487i | −0.959563 | − | 0.349252i | ||||
\(879\) | −0.227631 | + | 1.24783i | −0.00767779 | + | 0.0420883i | ||||
\(880\) | −0.786108 | + | 4.45824i | −0.0264997 | + | 0.150287i | ||||
\(881\) | 14.5982 | + | 25.2849i | 0.491827 | + | 0.851869i | 0.999956 | − | 0.00941223i | \(-0.00299605\pi\) |
−0.508129 | + | 0.861281i | \(0.669663\pi\) | |||||||
\(882\) | 2.83100 | − | 0.992701i | 0.0953246 | − | 0.0334260i | ||||
\(883\) | −25.1723 | + | 43.5998i | −0.847117 | + | 1.46725i | 0.0366530 | + | 0.999328i | \(0.488330\pi\) |
−0.883770 | + | 0.467922i | \(0.845003\pi\) | |||||||
\(884\) | 1.05100 | + | 0.881896i | 0.0353490 | + | 0.0296614i | ||||
\(885\) | −6.48431 | + | 11.0796i | −0.217968 | + | 0.372436i | ||||
\(886\) | 1.83115 | + | 10.3850i | 0.0615186 | + | 0.348889i | ||||
\(887\) | −9.07886 | + | 7.61807i | −0.304838 | + | 0.255790i | −0.782355 | − | 0.622833i | \(-0.785982\pi\) |
0.477516 | + | 0.878623i | \(0.341537\pi\) | |||||||
\(888\) | 2.39616 | − | 1.98663i | 0.0804099 | − | 0.0666669i | ||||
\(889\) | 5.63068 | − | 2.04940i | 0.188847 | − | 0.0687347i | ||||
\(890\) | −34.2300 | −1.14739 | ||||||||
\(891\) | −8.92391 | + | 14.6466i | −0.298962 | + | 0.490681i | ||||
\(892\) | 7.85464 | 0.262993 | ||||||||
\(893\) | 23.1318 | − | 8.41930i | 0.774077 | − | 0.281741i | ||||
\(894\) | −4.27098 | + | 3.54102i | −0.142843 | + | 0.118429i | ||||
\(895\) | −22.1128 | + | 18.5548i | −0.739148 | + | 0.620219i | ||||
\(896\) | 0.173648 | + | 0.984808i | 0.00580118 | + | 0.0329001i | ||||
\(897\) | 0.755683 | − | 1.29122i | 0.0252315 | − | 0.0431124i | ||||
\(898\) | −12.1366 | − | 10.1838i | −0.405005 | − | 0.339839i | ||||
\(899\) | −20.0088 | + | 34.6563i | −0.667332 | + | 1.15585i | ||||
\(900\) | 1.46338 | + | 1.25766i | 0.0487792 | + | 0.0419220i | ||||
\(901\) | 4.69163 | + | 8.12614i | 0.156301 | + | 0.270721i | ||||
\(902\) | −3.00741 | + | 17.0559i | −0.100136 | + | 0.567898i | ||||
\(903\) | −3.12266 | + | 17.1179i | −0.103916 | + | 0.569647i | ||||
\(904\) | −6.21401 | − | 2.26172i | −0.206675 | − | 0.0752236i | ||||
\(905\) | −19.1852 | − | 6.98286i | −0.637739 | − | 0.232118i | ||||
\(906\) | −17.5425 | − | 14.8973i | −0.582809 | − | 0.494928i | ||||
\(907\) | 9.23628 | − | 52.3816i | 0.306686 | − | 1.73930i | −0.308776 | − | 0.951135i | \(-0.599919\pi\) |
0.615462 | − | 0.788167i | \(-0.288969\pi\) | |||||||
\(908\) | 11.0071 | + | 19.0648i | 0.365283 | + | 0.632689i | ||||
\(909\) | 31.7884 | − | 26.0402i | 1.05436 | − | 0.863700i | ||||
\(910\) | 0.411085 | − | 0.712019i | 0.0136273 | − | 0.0236032i | ||||
\(911\) | −11.4308 | − | 9.59156i | −0.378719 | − | 0.317783i | 0.433481 | − | 0.901163i | \(-0.357285\pi\) |
−0.812199 | + | 0.583380i | \(0.801730\pi\) | |||||||
\(912\) | 3.30577 | + | 0.0195179i | 0.109465 | + | 0.000646301i | ||||
\(913\) | −2.57129 | − | 14.5825i | −0.0850972 | − | 0.482610i | ||||
\(914\) | 27.3324 | − | 22.9346i | 0.904075 | − | 0.758609i | ||||
\(915\) | −2.54791 | − | 14.9661i | −0.0842314 | − | 0.494764i | ||||
\(916\) | −1.14034 | + | 0.415051i | −0.0376780 | + | 0.0137137i | ||||
\(917\) | −13.8077 | −0.455972 | ||||||||
\(918\) | 3.93559 | − | 20.2189i | 0.129894 | − | 0.667323i | ||||
\(919\) | 9.99424 | 0.329679 | 0.164840 | − | 0.986320i | \(-0.447289\pi\) | ||||
0.164840 | + | 0.986320i | \(0.447289\pi\) | |||||||
\(920\) | −5.57118 | + | 2.02774i | −0.183676 | + | 0.0668527i | ||||
\(921\) | 23.2176 | + | 8.60610i | 0.765047 | + | 0.283581i | ||||
\(922\) | 8.31069 | − | 6.97350i | 0.273698 | − | 0.229660i | ||||
\(923\) | 0.0806665 | + | 0.457482i | 0.00265517 | + | 0.0150582i | ||||
\(924\) | −1.63346 | − | 2.86821i | −0.0537369 | − | 0.0943572i | ||||
\(925\) | 0.885427 | + | 0.742961i | 0.0291127 | + | 0.0244284i | ||||
\(926\) | −18.8727 | + | 32.6884i | −0.620194 | + | 1.07421i | ||||
\(927\) | −40.0242 | − | 0.472637i | −1.31457 | − | 0.0155234i | ||||
\(928\) | −4.00761 | − | 6.94138i | −0.131556 | − | 0.227862i | ||||
\(929\) | −0.663361 | + | 3.76211i | −0.0217642 | + | 0.123431i | −0.993754 | − | 0.111592i | \(-0.964405\pi\) |
0.971990 | + | 0.235022i | \(0.0755163\pi\) | |||||||
\(930\) | −19.3451 | + | 6.91195i | −0.634349 | + | 0.226652i | ||||
\(931\) | 1.79351 | + | 0.652786i | 0.0587801 | + | 0.0213942i | ||||
\(932\) | −17.0129 | − | 6.19221i | −0.557278 | − | 0.202832i | ||||
\(933\) | −9.95652 | + | 3.55745i | −0.325962 | + | 0.116466i | ||||
\(934\) | 1.93714 | − | 10.9861i | 0.0633852 | − | 0.359475i | ||||
\(935\) | 8.97290 | + | 15.5415i | 0.293445 | + | 0.508262i | ||||
\(936\) | 0.508493 | + | 0.905256i | 0.0166206 | + | 0.0295892i | ||||
\(937\) | 12.0054 | − | 20.7939i | 0.392198 | − | 0.679307i | −0.600541 | − | 0.799594i | \(-0.705048\pi\) |
0.992739 | + | 0.120287i | \(0.0383815\pi\) | |||||||
\(938\) | −3.03772 | − | 2.54895i | −0.0991850 | − | 0.0832261i | ||||
\(939\) | −11.7072 | − | 20.5567i | −0.382049 | − | 0.670843i | ||||
\(940\) | −5.32032 | − | 30.1730i | −0.173530 | − | 0.984135i | ||||
\(941\) | 26.0360 | − | 21.8468i | 0.848749 | − | 0.712185i | −0.110765 | − | 0.993847i | \(-0.535330\pi\) |
0.959514 | + | 0.281662i | \(0.0908857\pi\) | |||||||
\(942\) | −17.5303 | − | 6.49798i | −0.571169 | − | 0.211716i | ||||
\(943\) | −21.3136 | + | 7.75752i | −0.694067 | + | 0.252620i | ||||
\(944\) | 3.12004 | 0.101549 | ||||||||
\(945\) | −12.3417 | − | 0.218624i | −0.401476 | − | 0.00711183i | ||||
\(946\) | 19.1447 | 0.622446 | ||||||||
\(947\) | 11.9760 | − | 4.35889i | 0.389167 | − | 0.141645i | −0.140024 | − | 0.990148i | \(-0.544718\pi\) |
0.529190 | + | 0.848503i | \(0.322496\pi\) | |||||||
\(948\) | −1.23244 | − | 7.23919i | −0.0400278 | − | 0.235118i | ||||
\(949\) | 2.51855 | − | 2.11332i | 0.0817557 | − | 0.0686012i | ||||
\(950\) | 0.213170 | + | 1.20894i | 0.00691613 | + | 0.0392234i | ||||
\(951\) | −0.110057 | 0.000649796i | −0.00356884 | 2.10711e-5i | ||||||
\(952\) | 3.03672 | + | 2.54811i | 0.0984207 | + | 0.0825848i | ||||
\(953\) | −3.76136 | + | 6.51486i | −0.121842 | + | 0.211037i | −0.920494 | − | 0.390756i | \(-0.872214\pi\) |
0.798652 | + | 0.601793i | \(0.205547\pi\) | |||||||
\(954\) | 1.15043 | + | 7.00727i | 0.0372465 | + | 0.226869i | ||||
\(955\) | 25.7595 | + | 44.6168i | 0.833558 | + | 1.44377i | ||||
\(956\) | −5.29682 | + | 30.0398i | −0.171312 | + | 0.971556i | ||||
\(957\) | 20.1658 | + | 17.1250i | 0.651867 | + | 0.553573i | ||||
\(958\) | −13.0946 | − | 4.76606i | −0.423068 | − | 0.153984i | ||||
\(959\) | −7.22521 | − | 2.62976i | −0.233314 | − | 0.0849194i | ||||
\(960\) | 0.738396 | − | 4.04776i | 0.0238316 | − | 0.130641i | ||||
\(961\) | −1.05453 | + | 5.98055i | −0.0340172 | + | 0.192921i | ||||
\(962\) | 0.310980 | + | 0.538632i | 0.0100264 | + | 0.0173662i | ||||
\(963\) | 5.62531 | − | 29.8380i | 0.181273 | − | 0.961516i | ||||
\(964\) | 12.4537 | − | 21.5704i | 0.401106 | − | 0.694736i | ||||
\(965\) | −13.2016 | − | 11.0774i | −0.424973 | − | 0.356595i | ||||
\(966\) | 2.18344 | − | 3.73078i | 0.0702509 | − | 0.120036i | ||||
\(967\) | 8.05753 | + | 45.6965i | 0.259113 | + | 1.46950i | 0.785291 | + | 0.619127i | \(0.212514\pi\) |
−0.526178 | + | 0.850375i | \(0.676375\pi\) | |||||||
\(968\) | 5.64451 | − | 4.73631i | 0.181422 | − | 0.152231i | ||||
\(969\) | 10.0884 | − | 8.36419i | 0.324087 | − | 0.268696i | ||||
\(970\) | 32.3907 | − | 11.7892i | 1.04000 | − | 0.378530i | ||||
\(971\) | 1.49732 | 0.0480514 | 0.0240257 | − | 0.999711i | \(-0.492352\pi\) | ||||
0.0240257 | + | 0.999711i | \(0.492352\pi\) | |||||||
\(972\) | 8.18930 | − | 13.2641i | 0.262672 | − | 0.425445i | ||||
\(973\) | −22.4279 | −0.719004 | ||||||||
\(974\) | 13.9360 | − | 5.07227i | 0.446537 | − | 0.162526i | ||||
\(975\) | −0.296817 | + | 0.246087i | −0.00950574 | + | 0.00788109i | ||||
\(976\) | −2.82647 | + | 2.37169i | −0.0904731 | + | 0.0759159i | ||||
\(977\) | 3.63782 | + | 20.6311i | 0.116384 | + | 0.660048i | 0.986056 | + | 0.166417i | \(0.0532197\pi\) |
−0.869671 | + | 0.493631i | \(0.835669\pi\) | |||||||
\(978\) | 5.05301 | − | 8.63395i | 0.161578 | − | 0.276083i | ||||
\(979\) | −21.0353 | − | 17.6507i | −0.672290 | − | 0.564118i | ||||
\(980\) | 1.18777 | − | 2.05728i | 0.0379419 | − | 0.0657173i | ||||
\(981\) | 9.38155 | − | 49.7620i | 0.299530 | − | 1.58878i | ||||
\(982\) | 3.97838 | + | 6.89075i | 0.126955 | + | 0.219893i | ||||
\(983\) | 10.7482 | − | 60.9561i | 0.342815 | − | 1.94420i | 0.0137080 | − | 0.999906i | \(-0.495636\pi\) |
0.329107 | − | 0.944293i | \(-0.393252\pi\) | |||||||
\(984\) | 2.82488 | − | 15.4855i | 0.0900538 | − | 0.493659i | ||||
\(985\) | 46.0303 | + | 16.7537i | 1.46665 | + | 0.533816i | ||||
\(986\) | −29.8574 | − | 10.8672i | −0.950854 | − | 0.346082i | ||||
\(987\) | 17.0277 | + | 14.4601i | 0.541997 | + | 0.460270i | ||||
\(988\) | −0.114707 | + | 0.650533i | −0.00364930 | + | 0.0206962i | ||||
\(989\) | 12.5362 | + | 21.7134i | 0.398629 | + | 0.690445i | ||||
\(990\) | 2.20023 | + | 13.4016i | 0.0699279 | + | 0.425932i | ||||
\(991\) | 11.3070 | − | 19.5844i | 0.359180 | − | 0.622118i | −0.628644 | − | 0.777693i | \(-0.716390\pi\) |
0.987824 | + | 0.155575i | \(0.0497232\pi\) | |||||||
\(992\) | 3.82464 | + | 3.20925i | 0.121432 | + | 0.101894i | ||||
\(993\) | −24.1203 | − | 0.142411i | −0.765436 | − | 0.00451927i | ||||
\(994\) | 0.233074 | + | 1.32183i | 0.00739267 | + | 0.0419259i | ||||
\(995\) | −3.57302 | + | 2.99812i | −0.113272 | + | 0.0950468i | ||||
\(996\) | 2.25872 | + | 13.2674i | 0.0715704 | + | 0.420395i | ||||
\(997\) | −13.3333 | + | 4.85291i | −0.422269 | + | 0.153693i | −0.544410 | − | 0.838819i | \(-0.683246\pi\) |
0.122141 | + | 0.992513i | \(0.461024\pi\) | |||||||
\(998\) | −5.63100 | −0.178246 | ||||||||
\(999\) | 4.81140 | − | 8.00281i | 0.152226 | − | 0.253198i |
(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 | 378.2.u.c.169.1 | yes | 24 | |
27.4 | even | 9 | inner | 378.2.u.c.85.1 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.u.c.85.1 | ✓ | 24 | 27.4 | even | 9 | inner | |
378.2.u.c.169.1 | yes | 24 | 1.1 | even | 1 | trivial |