Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(29,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bf (of order \(18\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 59.34 | ||
Character | \(\chi\) | \(=\) | 570.59 |
Dual form | 570.2.bf.a.29.34 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.984808 | + | 0.173648i | 0.696364 | + | 0.122788i | ||||
\(3\) | 1.03267 | + | 1.39054i | 0.596212 | + | 0.802827i | ||||
\(4\) | 0.939693 | + | 0.342020i | 0.469846 | + | 0.171010i | ||||
\(5\) | −0.272408 | − | 2.21941i | −0.121825 | − | 0.992552i | ||||
\(6\) | 0.775516 | + | 1.54873i | 0.316603 | + | 0.632268i | ||||
\(7\) | 1.48423 | − | 0.856923i | 0.560988 | − | 0.323887i | −0.192554 | − | 0.981286i | \(-0.561677\pi\) |
0.753542 | + | 0.657400i | \(0.228344\pi\) | |||||||
\(8\) | 0.866025 | + | 0.500000i | 0.306186 | + | 0.176777i | ||||
\(9\) | −0.867188 | + | 2.87193i | −0.289063 | + | 0.957310i | ||||
\(10\) | 0.117127 | − | 2.23300i | 0.0370389 | − | 0.706136i | ||||
\(11\) | 0.232838 | + | 0.134429i | 0.0702032 | + | 0.0405318i | 0.534691 | − | 0.845048i | \(-0.320428\pi\) |
−0.464488 | + | 0.885580i | \(0.653761\pi\) | |||||||
\(12\) | 0.494800 | + | 1.65987i | 0.142836 | + | 0.479164i | ||||
\(13\) | 2.84108 | − | 2.38395i | 0.787973 | − | 0.661188i | −0.157270 | − | 0.987556i | \(-0.550269\pi\) |
0.945243 | + | 0.326368i | \(0.105825\pi\) | |||||||
\(14\) | 1.61049 | − | 0.586170i | 0.430421 | − | 0.156661i | ||||
\(15\) | 2.80487 | − | 2.67071i | 0.724214 | − | 0.689575i | ||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | −0.267187 | + | 1.51529i | −0.0648023 | + | 0.367512i | 0.935111 | + | 0.354354i | \(0.115299\pi\) |
−0.999913 | + | 0.0131574i | \(0.995812\pi\) | |||||||
\(18\) | −1.35272 | + | 2.67771i | −0.318839 | + | 0.631143i | ||||
\(19\) | 2.37652 | + | 3.65406i | 0.545210 | + | 0.838299i | ||||
\(20\) | 0.503104 | − | 2.17874i | 0.112497 | − | 0.487180i | ||||
\(21\) | 2.72431 | + | 1.17897i | 0.594493 | + | 0.257271i | ||||
\(22\) | 0.205957 | + | 0.172818i | 0.0439102 | + | 0.0368450i | ||||
\(23\) | 0.801629 | + | 0.291769i | 0.167151 | + | 0.0608381i | 0.424240 | − | 0.905550i | \(-0.360541\pi\) |
−0.257089 | + | 0.966388i | \(0.582763\pi\) | |||||||
\(24\) | 0.199049 | + | 1.72058i | 0.0406307 | + | 0.351211i | ||||
\(25\) | −4.85159 | + | 1.20917i | −0.970318 | + | 0.241834i | ||||
\(26\) | 3.21188 | − | 1.85438i | 0.629902 | − | 0.363674i | ||||
\(27\) | −4.88905 | + | 1.75990i | −0.940897 | + | 0.338692i | ||||
\(28\) | 1.68781 | − | 0.297606i | 0.318966 | − | 0.0562423i | ||||
\(29\) | −0.356949 | − | 2.02436i | −0.0662838 | − | 0.375914i | −0.999847 | − | 0.0175008i | \(-0.994429\pi\) |
0.933563 | − | 0.358413i | \(-0.116682\pi\) | |||||||
\(30\) | 3.22602 | − | 2.14308i | 0.588988 | − | 0.391271i | ||||
\(31\) | 0.244922 | − | 0.141406i | 0.0439893 | − | 0.0253973i | −0.477844 | − | 0.878445i | \(-0.658582\pi\) |
0.521833 | + | 0.853047i | \(0.325248\pi\) | |||||||
\(32\) | 0.642788 | + | 0.766044i | 0.113630 | + | 0.135419i | ||||
\(33\) | 0.0535159 | + | 0.462590i | 0.00931592 | + | 0.0805266i | ||||
\(34\) | −0.526255 | + | 1.44587i | −0.0902520 | + | 0.247965i | ||||
\(35\) | −2.30618 | − | 3.06070i | −0.389816 | − | 0.517352i | ||||
\(36\) | −1.79715 | + | 2.40214i | −0.299525 | + | 0.400356i | ||||
\(37\) | −9.38078 | −1.54219 | −0.771095 | − | 0.636720i | \(-0.780291\pi\) | ||||
−0.771095 | + | 0.636720i | \(0.780291\pi\) | |||||||
\(38\) | 1.70589 | + | 4.01123i | 0.276732 | + | 0.650707i | ||||
\(39\) | 6.24886 | + | 1.48880i | 1.00062 | + | 0.238398i | ||||
\(40\) | 0.873794 | − | 2.05827i | 0.138159 | − | 0.325441i | ||||
\(41\) | −1.94015 | − | 1.62798i | −0.303001 | − | 0.254248i | 0.478591 | − | 0.878038i | \(-0.341148\pi\) |
−0.781592 | + | 0.623790i | \(0.785592\pi\) | |||||||
\(42\) | 2.47819 | + | 1.63413i | 0.382394 | + | 0.252151i | ||||
\(43\) | −2.01595 | − | 5.53877i | −0.307429 | − | 0.844654i | −0.993156 | − | 0.116796i | \(-0.962738\pi\) |
0.685727 | − | 0.727859i | \(-0.259484\pi\) | |||||||
\(44\) | 0.172818 | + | 0.205957i | 0.0260534 | + | 0.0310492i | ||||
\(45\) | 6.61023 | + | 1.14231i | 0.985395 | + | 0.170286i | ||||
\(46\) | 0.738785 | + | 0.426538i | 0.108928 | + | 0.0628896i | ||||
\(47\) | −1.42871 | − | 8.10262i | −0.208399 | − | 1.18189i | −0.892001 | − | 0.452033i | \(-0.850699\pi\) |
0.683602 | − | 0.729855i | \(-0.260412\pi\) | |||||||
\(48\) | −0.102750 | + | 1.72900i | −0.0148306 | + | 0.249560i | ||||
\(49\) | −2.03137 | + | 3.51843i | −0.290195 | + | 0.502633i | ||||
\(50\) | −4.98785 | + | 0.348333i | −0.705389 | + | 0.0492617i | ||||
\(51\) | −2.38298 | + | 1.19326i | −0.333684 | + | 0.167090i | ||||
\(52\) | 3.48510 | − | 1.26847i | 0.483296 | − | 0.175905i | ||||
\(53\) | −1.09162 | + | 2.99920i | −0.149946 | + | 0.411972i | −0.991811 | − | 0.127716i | \(-0.959235\pi\) |
0.841865 | + | 0.539688i | \(0.181458\pi\) | |||||||
\(54\) | −5.12037 | + | 0.884186i | −0.696794 | + | 0.120322i | ||||
\(55\) | 0.234926 | − | 0.553382i | 0.0316775 | − | 0.0746181i | ||||
\(56\) | 1.71385 | 0.229022 | ||||||||
\(57\) | −2.62695 | + | 7.07807i | −0.347948 | + | 0.937514i | ||||
\(58\) | − | 2.05559i | − | 0.269912i | ||||||
\(59\) | −2.44329 | + | 13.8566i | −0.318089 | + | 1.80397i | 0.236263 | + | 0.971689i | \(0.424077\pi\) |
−0.554352 | + | 0.832283i | \(0.687034\pi\) | |||||||
\(60\) | 3.54915 | − | 1.55033i | 0.458194 | − | 0.200146i | ||||
\(61\) | −1.11216 | − | 0.404792i | −0.142397 | − | 0.0518284i | 0.269838 | − | 0.962906i | \(-0.413030\pi\) |
−0.412236 | + | 0.911077i | \(0.635252\pi\) | |||||||
\(62\) | 0.265756 | − | 0.0967274i | 0.0337511 | − | 0.0122844i | ||||
\(63\) | 1.17391 | + | 5.00573i | 0.147899 | + | 0.630663i | ||||
\(64\) | 0.500000 | + | 0.866025i | 0.0625000 | + | 0.108253i | ||||
\(65\) | −6.06489 | − | 5.65612i | −0.752258 | − | 0.701555i | ||||
\(66\) | −0.0276250 | + | 0.464855i | −0.00340041 | + | 0.0572197i | ||||
\(67\) | 0.393781 | + | 2.23324i | 0.0481080 | + | 0.272834i | 0.999368 | − | 0.0355570i | \(-0.0113205\pi\) |
−0.951260 | + | 0.308391i | \(0.900209\pi\) | |||||||
\(68\) | −0.769333 | + | 1.33252i | −0.0932953 | + | 0.161592i | ||||
\(69\) | 0.422102 | + | 1.41600i | 0.0508151 | + | 0.170466i | ||||
\(70\) | −1.73966 | − | 3.41466i | −0.207930 | − | 0.408130i | ||||
\(71\) | 2.24601 | − | 0.817480i | 0.266552 | − | 0.0970170i | −0.205287 | − | 0.978702i | \(-0.565813\pi\) |
0.471839 | + | 0.881685i | \(0.343590\pi\) | |||||||
\(72\) | −2.18697 | + | 2.05357i | −0.257737 | + | 0.242016i | ||||
\(73\) | 4.67909 | − | 5.57633i | 0.547646 | − | 0.652660i | −0.419237 | − | 0.907877i | \(-0.637702\pi\) |
0.966884 | + | 0.255217i | \(0.0821469\pi\) | |||||||
\(74\) | −9.23826 | − | 1.62895i | −1.07393 | − | 0.189362i | ||||
\(75\) | −6.69148 | − | 5.49764i | −0.772666 | − | 0.634813i | ||||
\(76\) | 0.983433 | + | 4.24651i | 0.112807 | + | 0.487108i | ||||
\(77\) | 0.460781 | 0.0525108 | ||||||||
\(78\) | 5.89540 | + | 2.55128i | 0.667522 | + | 0.288876i | ||||
\(79\) | 3.38643 | − | 4.03579i | 0.381004 | − | 0.454062i | −0.541127 | − | 0.840941i | \(-0.682002\pi\) |
0.922131 | + | 0.386878i | \(0.126447\pi\) | |||||||
\(80\) | 1.21793 | − | 1.87527i | 0.136169 | − | 0.209662i | ||||
\(81\) | −7.49597 | − | 4.98101i | −0.832885 | − | 0.553446i | ||||
\(82\) | −1.62798 | − | 1.94015i | −0.179780 | − | 0.214254i | ||||
\(83\) | −7.43387 | − | 12.8758i | −0.815973 | − | 1.41331i | −0.908627 | − | 0.417608i | \(-0.862868\pi\) |
0.0926542 | − | 0.995698i | \(-0.470465\pi\) | |||||||
\(84\) | 2.15678 | + | 2.03963i | 0.235324 | + | 0.222542i | ||||
\(85\) | 3.43584 | + | 0.180220i | 0.372669 | + | 0.0195476i | ||||
\(86\) | −1.02352 | − | 5.80469i | −0.110369 | − | 0.625936i | ||||
\(87\) | 2.44634 | − | 2.58684i | 0.262275 | − | 0.277339i | ||||
\(88\) | 0.134429 | + | 0.232838i | 0.0143302 | + | 0.0248206i | ||||
\(89\) | −10.6592 | + | 8.94412i | −1.12987 | + | 0.948075i | −0.999061 | − | 0.0433325i | \(-0.986203\pi\) |
−0.130811 | + | 0.991407i | \(0.541758\pi\) | |||||||
\(90\) | 6.31144 | + | 2.27281i | 0.665285 | + | 0.239575i | ||||
\(91\) | 2.17397 | − | 5.97292i | 0.227893 | − | 0.626132i | ||||
\(92\) | 0.653494 | + | 0.548347i | 0.0681315 | + | 0.0571691i | ||||
\(93\) | 0.449554 | + | 0.194548i | 0.0466166 | + | 0.0201737i | ||||
\(94\) | − | 8.22761i | − | 0.848613i | ||||||
\(95\) | 7.46249 | − | 6.26987i | 0.765635 | − | 0.643275i | ||||
\(96\) | −0.401426 | + | 1.68489i | −0.0409704 | + | 0.171963i | ||||
\(97\) | −1.04425 | + | 5.92225i | −0.106028 | + | 0.601314i | 0.884777 | + | 0.466015i | \(0.154311\pi\) |
−0.990805 | + | 0.135299i | \(0.956801\pi\) | |||||||
\(98\) | −2.61147 | + | 3.11223i | −0.263799 | + | 0.314383i | ||||
\(99\) | −0.587984 | + | 0.552118i | −0.0590947 | + | 0.0554900i | ||||
\(100\) | −4.97256 | − | 0.523090i | −0.497256 | − | 0.0523090i | ||||
\(101\) | 3.25434 | + | 3.87837i | 0.323819 | + | 0.385913i | 0.903254 | − | 0.429106i | \(-0.141171\pi\) |
−0.579435 | + | 0.815018i | \(0.696727\pi\) | |||||||
\(102\) | −2.55399 | + | 0.761332i | −0.252883 | + | 0.0753831i | ||||
\(103\) | 4.75810 | − | 8.24127i | 0.468829 | − | 0.812036i | −0.530536 | − | 0.847663i | \(-0.678009\pi\) |
0.999365 | + | 0.0356262i | \(0.0113426\pi\) | |||||||
\(104\) | 3.65242 | − | 0.644020i | 0.358149 | − | 0.0631513i | ||||
\(105\) | 1.87449 | − | 6.36752i | 0.182931 | − | 0.621407i | ||||
\(106\) | −1.59584 | + | 2.76408i | −0.155002 | + | 0.268471i | ||||
\(107\) | 12.2975 | − | 7.09995i | 1.18884 | − | 0.686378i | 0.230799 | − | 0.973002i | \(-0.425866\pi\) |
0.958043 | + | 0.286623i | \(0.0925328\pi\) | |||||||
\(108\) | −5.19612 | − | 0.0183905i | −0.499997 | − | 0.00176963i | ||||
\(109\) | −5.71119 | − | 15.6914i | −0.547033 | − | 1.50296i | −0.837697 | − | 0.546136i | \(-0.816098\pi\) |
0.290664 | − | 0.956825i | \(-0.406124\pi\) | |||||||
\(110\) | 0.327451 | − | 0.504181i | 0.0312212 | − | 0.0480717i | ||||
\(111\) | −9.68724 | − | 13.0443i | −0.919472 | − | 1.23811i | ||||
\(112\) | 1.68781 | + | 0.297606i | 0.159483 | + | 0.0281212i | ||||
\(113\) | 7.39539i | 0.695699i | 0.937550 | + | 0.347850i | \(0.113088\pi\) | ||||
−0.937550 | + | 0.347850i | \(0.886912\pi\) | |||||||
\(114\) | −3.81614 | + | 6.51438i | −0.357414 | + | 0.610127i | ||||
\(115\) | 0.429186 | − | 1.85863i | 0.0400218 | − | 0.173318i | ||||
\(116\) | 0.356949 | − | 2.02436i | 0.0331419 | − | 0.187957i | ||||
\(117\) | 4.38278 | + | 10.2267i | 0.405188 | + | 0.945459i | ||||
\(118\) | −4.81234 | + | 13.2218i | −0.443011 | + | 1.21716i | ||||
\(119\) | 0.901920 | + | 2.47800i | 0.0826789 | + | 0.227158i | ||||
\(120\) | 3.76444 | − | 0.910471i | 0.343645 | − | 0.0831142i | ||||
\(121\) | −5.46386 | − | 9.46368i | −0.496714 | − | 0.860334i | ||||
\(122\) | −1.02497 | − | 0.591767i | −0.0927964 | − | 0.0535761i | ||||
\(123\) | 0.260233 | − | 4.37902i | 0.0234644 | − | 0.394843i | ||||
\(124\) | 0.278515 | − | 0.0491098i | 0.0250114 | − | 0.00441019i | ||||
\(125\) | 4.00526 | + | 10.4383i | 0.358242 | + | 0.933629i | ||||
\(126\) | 0.286842 | + | 5.13353i | 0.0255539 | + | 0.457331i | ||||
\(127\) | 1.23824 | − | 1.03901i | 0.109876 | − | 0.0921972i | −0.586194 | − | 0.810170i | \(-0.699374\pi\) |
0.696071 | + | 0.717973i | \(0.254930\pi\) | |||||||
\(128\) | 0.342020 | + | 0.939693i | 0.0302306 | + | 0.0830579i | ||||
\(129\) | 5.62006 | − | 8.52297i | 0.494819 | − | 0.750405i | ||||
\(130\) | −4.99058 | − | 6.62335i | −0.437703 | − | 0.580906i | ||||
\(131\) | −3.40772 | − | 0.600872i | −0.297733 | − | 0.0524984i | 0.0227860 | − | 0.999740i | \(-0.492746\pi\) |
−0.320519 | + | 0.947242i | \(0.603857\pi\) | |||||||
\(132\) | −0.107927 | + | 0.452996i | −0.00939380 | + | 0.0394282i | ||||
\(133\) | 6.65856 | + | 3.38699i | 0.577370 | + | 0.293689i | ||||
\(134\) | 2.26770i | 0.195899i | ||||||||
\(135\) | 5.23775 | + | 10.3714i | 0.450794 | + | 0.892628i | ||||
\(136\) | −0.989036 | + | 1.17869i | −0.0848091 | + | 0.101072i | ||||
\(137\) | 18.9427 | + | 6.89459i | 1.61839 | + | 0.589045i | 0.983074 | − | 0.183209i | \(-0.0586486\pi\) |
0.635314 | + | 0.772254i | \(0.280871\pi\) | |||||||
\(138\) | 0.169804 | + | 1.46778i | 0.0144547 | + | 0.124946i | ||||
\(139\) | −14.6100 | + | 12.2593i | −1.23921 | + | 1.03982i | −0.241621 | + | 0.970371i | \(0.577679\pi\) |
−0.997586 | + | 0.0694469i | \(0.977877\pi\) | |||||||
\(140\) | −1.12028 | − | 3.66488i | −0.0946813 | − | 0.309738i | ||||
\(141\) | 9.79161 | − | 10.3540i | 0.824602 | − | 0.871964i | ||||
\(142\) | 2.35384 | − | 0.415045i | 0.197530 | − | 0.0348298i | ||||
\(143\) | 0.981981 | − | 0.173150i | 0.0821174 | − | 0.0144795i | ||||
\(144\) | −2.51035 | + | 1.64261i | −0.209196 | + | 0.136884i | ||||
\(145\) | −4.39565 | + | 1.34367i | −0.365039 | + | 0.111586i | ||||
\(146\) | 5.57633 | − | 4.67909i | 0.461500 | − | 0.387244i | ||||
\(147\) | −6.99023 | + | 0.808683i | −0.576545 | + | 0.0666990i | ||||
\(148\) | −8.81505 | − | 3.20841i | −0.724592 | − | 0.263730i | ||||
\(149\) | −14.6019 | + | 17.4018i | −1.19623 | + | 1.42561i | −0.317528 | + | 0.948249i | \(0.602853\pi\) |
−0.878705 | + | 0.477366i | \(0.841592\pi\) | |||||||
\(150\) | −5.63517 | − | 6.57608i | −0.460110 | − | 0.536935i | ||||
\(151\) | − | 10.2840i | − | 0.836904i | −0.908239 | − | 0.418452i | \(-0.862573\pi\) | ||
0.908239 | − | 0.418452i | \(-0.137427\pi\) | |||||||
\(152\) | 0.231093 | + | 4.35277i | 0.0187441 | + | 0.353056i | ||||
\(153\) | −4.12011 | − | 2.08138i | −0.333091 | − | 0.168270i | ||||
\(154\) | 0.453780 | + | 0.0800137i | 0.0365667 | + | 0.00644769i | ||||
\(155\) | −0.380557 | − | 0.505064i | −0.0305671 | − | 0.0405677i | ||||
\(156\) | 5.36281 | + | 3.53625i | 0.429368 | + | 0.283126i | ||||
\(157\) | −3.29903 | − | 9.06402i | −0.263292 | − | 0.723388i | −0.998940 | − | 0.0460245i | \(-0.985345\pi\) |
0.735649 | − | 0.677363i | \(-0.236877\pi\) | |||||||
\(158\) | 4.03579 | − | 3.38643i | 0.321071 | − | 0.269410i | ||||
\(159\) | −5.29778 | + | 1.57924i | −0.420142 | + | 0.125242i | ||||
\(160\) | 1.52507 | − | 1.63529i | 0.120567 | − | 0.129281i | ||||
\(161\) | 1.43983 | − | 0.253881i | 0.113474 | − | 0.0200086i | ||||
\(162\) | −6.51714 | − | 6.20700i | −0.512035 | − | 0.487668i | ||||
\(163\) | −18.7191 | − | 10.8075i | −1.46619 | − | 0.846507i | −0.466907 | − | 0.884306i | \(-0.654632\pi\) |
−0.999285 | + | 0.0377994i | \(0.987965\pi\) | |||||||
\(164\) | −1.26634 | − | 2.19337i | −0.0988849 | − | 0.171274i | ||||
\(165\) | 1.01210 | − | 0.244787i | 0.0787919 | − | 0.0190567i | ||||
\(166\) | −5.08506 | − | 13.9711i | −0.394678 | − | 1.08437i | ||||
\(167\) | −5.05375 | + | 13.8851i | −0.391071 | + | 1.07446i | 0.575443 | + | 0.817842i | \(0.304830\pi\) |
−0.966513 | + | 0.256616i | \(0.917392\pi\) | |||||||
\(168\) | 1.76984 | + | 2.38317i | 0.136546 | + | 0.183865i | ||||
\(169\) | 0.131090 | − | 0.743451i | 0.0100839 | − | 0.0571885i | ||||
\(170\) | 3.35235 | + | 0.774109i | 0.257113 | + | 0.0593715i | ||||
\(171\) | −12.5551 | + | 3.65643i | −0.960112 | + | 0.279614i | ||||
\(172\) | − | 5.89424i | − | 0.449431i | ||||||
\(173\) | 9.66856 | + | 1.70483i | 0.735087 | + | 0.129616i | 0.528645 | − | 0.848843i | \(-0.322700\pi\) |
0.206442 | + | 0.978459i | \(0.433811\pi\) | |||||||
\(174\) | 2.85837 | − | 2.12274i | 0.216693 | − | 0.160925i | ||||
\(175\) | −6.16473 | + | 5.95213i | −0.466009 | + | 0.449939i | ||||
\(176\) | 0.0919547 | + | 0.252644i | 0.00693135 | + | 0.0190437i | ||||
\(177\) | −21.7912 | + | 10.9118i | −1.63793 | + | 0.820179i | ||||
\(178\) | −12.0504 | + | 6.95729i | −0.903214 | + | 0.521471i | ||||
\(179\) | 0.839976 | − | 1.45488i | 0.0627827 | − | 0.108743i | −0.832926 | − | 0.553385i | \(-0.813336\pi\) |
0.895708 | + | 0.444642i | \(0.146669\pi\) | |||||||
\(180\) | 5.82089 | + | 3.33425i | 0.433863 | + | 0.248521i | ||||
\(181\) | 15.0430 | − | 2.65249i | 1.11814 | − | 0.197158i | 0.416116 | − | 0.909311i | \(-0.363391\pi\) |
0.702024 | + | 0.712153i | \(0.252280\pi\) | |||||||
\(182\) | 3.17812 | − | 5.50467i | 0.235578 | − | 0.408034i | ||||
\(183\) | −0.585612 | − | 1.96451i | −0.0432897 | − | 0.145221i | ||||
\(184\) | 0.548347 | + | 0.653494i | 0.0404247 | + | 0.0481762i | ||||
\(185\) | 2.55540 | + | 20.8198i | 0.187877 | + | 1.53070i | ||||
\(186\) | 0.408941 | + | 0.269657i | 0.0299850 | + | 0.0197722i | ||||
\(187\) | −0.265910 | + | 0.316899i | −0.0194453 | + | 0.0231740i | ||||
\(188\) | 1.42871 | − | 8.10262i | 0.104199 | − | 0.590944i | ||||
\(189\) | −5.74839 | + | 6.80164i | −0.418134 | + | 0.494746i | ||||
\(190\) | 8.43787 | − | 4.87877i | 0.612147 | − | 0.353943i | ||||
\(191\) | 4.72693i | 0.342028i | 0.985269 | + | 0.171014i | \(0.0547044\pi\) | ||||
−0.985269 | + | 0.171014i | \(0.945296\pi\) | |||||||
\(192\) | −0.687906 | + | 1.58959i | −0.0496453 | + | 0.114719i | ||||
\(193\) | 7.07242 | + | 5.93447i | 0.509084 | + | 0.427172i | 0.860807 | − | 0.508932i | \(-0.169960\pi\) |
−0.351723 | + | 0.936104i | \(0.614404\pi\) | |||||||
\(194\) | −2.05678 | + | 5.65095i | −0.147668 | + | 0.405714i | ||||
\(195\) | 1.60201 | − | 14.2744i | 0.114722 | − | 1.02221i | ||||
\(196\) | −3.11223 | + | 2.61147i | −0.222302 | + | 0.186534i | ||||
\(197\) | 3.15567 | + | 5.46578i | 0.224832 | + | 0.389421i | 0.956269 | − | 0.292488i | \(-0.0944833\pi\) |
−0.731437 | + | 0.681909i | \(0.761150\pi\) | |||||||
\(198\) | −0.674926 | + | 0.441628i | −0.0479649 | + | 0.0313851i | ||||
\(199\) | 4.19757 | + | 23.8056i | 0.297558 | + | 1.68754i | 0.656620 | + | 0.754221i | \(0.271985\pi\) |
−0.359062 | + | 0.933314i | \(0.616903\pi\) | |||||||
\(200\) | −4.80618 | − | 1.37862i | −0.339849 | − | 0.0974831i | ||||
\(201\) | −2.69876 | + | 2.85377i | −0.190356 | + | 0.201289i | ||||
\(202\) | 2.53143 | + | 4.38456i | 0.178111 | + | 0.308497i | ||||
\(203\) | −2.26452 | − | 2.69874i | −0.158938 | − | 0.189415i | ||||
\(204\) | −2.64739 | + | 0.306270i | −0.185354 | + | 0.0214432i | ||||
\(205\) | −3.08465 | + | 4.74947i | −0.215441 | + | 0.331718i | ||||
\(206\) | 6.11689 | − | 7.28983i | 0.426184 | − | 0.507907i | ||||
\(207\) | −1.53310 | + | 2.04920i | −0.106558 | + | 0.142430i | ||||
\(208\) | 3.70876 | 0.257156 | ||||||||
\(209\) | 0.0621312 | + | 1.17028i | 0.00429770 | + | 0.0809496i | ||||
\(210\) | 2.95172 | − | 5.94528i | 0.203688 | − | 0.410264i | ||||
\(211\) | 15.2568 | + | 2.69019i | 1.05032 | + | 0.185200i | 0.672059 | − | 0.740497i | \(-0.265410\pi\) |
0.378264 | + | 0.925698i | \(0.376521\pi\) | |||||||
\(212\) | −2.05157 | + | 2.44497i | −0.140903 | + | 0.167921i | ||||
\(213\) | 3.45612 | + | 2.27897i | 0.236809 | + | 0.156153i | ||||
\(214\) | 13.3435 | − | 4.85665i | 0.912146 | − | 0.331994i | ||||
\(215\) | −11.7437 | + | 5.98303i | −0.800911 | + | 0.408039i | ||||
\(216\) | −5.11399 | − | 0.920408i | −0.347963 | − | 0.0626258i | ||||
\(217\) | 0.242348 | − | 0.419759i | 0.0164517 | − | 0.0284951i | ||||
\(218\) | −2.89965 | − | 16.4447i | −0.196389 | − | 1.11378i | ||||
\(219\) | 12.5860 | + | 0.747953i | 0.850486 | + | 0.0505420i | ||||
\(220\) | 0.410026 | − | 0.439660i | 0.0276440 | − | 0.0296419i | ||||
\(221\) | 2.85327 | + | 4.94202i | 0.191932 | + | 0.332436i | ||||
\(222\) | −7.27495 | − | 14.5283i | −0.488262 | − | 0.975077i | ||||
\(223\) | 5.31883 | − | 1.93590i | 0.356175 | − | 0.129637i | −0.157734 | − | 0.987482i | \(-0.550419\pi\) |
0.513909 | + | 0.857844i | \(0.328197\pi\) | |||||||
\(224\) | 1.61049 | + | 0.586170i | 0.107605 | + | 0.0391651i | ||||
\(225\) | 0.734582 | − | 14.9820i | 0.0489721 | − | 0.998800i | ||||
\(226\) | −1.28420 | + | 7.28303i | −0.0854234 | + | 0.484460i | ||||
\(227\) | − | 13.8007i | − | 0.915983i | −0.888956 | − | 0.457992i | \(-0.848569\pi\) | ||
0.888956 | − | 0.457992i | \(-0.151431\pi\) | |||||||
\(228\) | −4.88937 | + | 5.75274i | −0.323807 | + | 0.380985i | ||||
\(229\) | −1.43517 | −0.0948389 | −0.0474194 | − | 0.998875i | \(-0.515100\pi\) | ||||
−0.0474194 | + | 0.998875i | \(0.515100\pi\) | |||||||
\(230\) | 0.745413 | − | 1.75586i | 0.0491511 | − | 0.115778i | ||||
\(231\) | 0.475834 | + | 0.640733i | 0.0313076 | + | 0.0421571i | ||||
\(232\) | 0.703052 | − | 1.93162i | 0.0461576 | − | 0.126817i | ||||
\(233\) | 11.7741 | − | 4.28541i | 0.771345 | − | 0.280747i | 0.0737860 | − | 0.997274i | \(-0.476492\pi\) |
0.697559 | + | 0.716528i | \(0.254270\pi\) | |||||||
\(234\) | 2.54035 | + | 10.8324i | 0.166068 | + | 0.708136i | ||||
\(235\) | −17.5939 | + | 5.37812i | −1.14770 | + | 0.350830i | ||||
\(236\) | −7.03517 | + | 12.1853i | −0.457950 | + | 0.793193i | ||||
\(237\) | 9.10899 | + | 0.541322i | 0.591692 | + | 0.0351626i | ||||
\(238\) | 0.457917 | + | 2.59698i | 0.0296823 | + | 0.168337i | ||||
\(239\) | −2.10709 | − | 1.21653i | −0.136297 | − | 0.0786909i | 0.430301 | − | 0.902685i | \(-0.358407\pi\) |
−0.566598 | + | 0.823994i | \(0.691741\pi\) | |||||||
\(240\) | 3.86536 | − | 0.242950i | 0.249508 | − | 0.0156823i | ||||
\(241\) | 8.71138 | + | 10.3818i | 0.561150 | + | 0.668752i | 0.969789 | − | 0.243944i | \(-0.0784412\pi\) |
−0.408640 | + | 0.912696i | \(0.633997\pi\) | |||||||
\(242\) | −3.73750 | − | 10.2687i | −0.240256 | − | 0.660097i | ||||
\(243\) | −0.814576 | − | 15.5672i | −0.0522551 | − | 0.998634i | ||||
\(244\) | −0.906639 | − | 0.760761i | −0.0580416 | − | 0.0487027i | ||||
\(245\) | 8.36220 | + | 3.54999i | 0.534242 | + | 0.226801i | ||||
\(246\) | 1.01669 | − | 4.26730i | 0.0648217 | − | 0.272073i | ||||
\(247\) | 15.4630 | + | 4.71598i | 0.983884 | + | 0.300071i | ||||
\(248\) | 0.282812 | 0.0179586 | ||||||||
\(249\) | 10.2276 | − | 23.6336i | 0.648148 | − | 1.49772i | ||||
\(250\) | 2.13183 | + | 10.9752i | 0.134829 | + | 0.694133i | ||||
\(251\) | 7.49044 | − | 20.5798i | 0.472792 | − | 1.29899i | −0.442707 | − | 0.896666i | \(-0.645982\pi\) |
0.915499 | − | 0.402320i | \(-0.131796\pi\) | |||||||
\(252\) | −0.608944 | + | 5.10535i | −0.0383599 | + | 0.321607i | ||||
\(253\) | 0.147427 | + | 0.175697i | 0.00926867 | + | 0.0110460i | ||||
\(254\) | 1.39985 | − | 0.808206i | 0.0878346 | − | 0.0507113i | ||||
\(255\) | 3.29748 | + | 4.96377i | 0.206496 | + | 0.310843i | ||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | 7.45354 | − | 1.31426i | 0.464939 | − | 0.0819813i | 0.0637288 | − | 0.997967i | \(-0.479701\pi\) |
0.401210 | + | 0.915986i | \(0.368590\pi\) | |||||||
\(258\) | 7.01468 | − | 7.41757i | 0.436715 | − | 0.461798i | ||||
\(259\) | −13.9233 | + | 8.03860i | −0.865150 | + | 0.499495i | ||||
\(260\) | −3.76463 | − | 7.38933i | −0.233472 | − | 0.458267i | ||||
\(261\) | 6.12336 | + | 0.730367i | 0.379026 | + | 0.0452086i | ||||
\(262\) | −3.25160 | − | 1.18349i | −0.200885 | − | 0.0731161i | ||||
\(263\) | −9.68843 | − | 8.12956i | −0.597414 | − | 0.501290i | 0.293199 | − | 0.956051i | \(-0.405280\pi\) |
−0.890613 | + | 0.454761i | \(0.849725\pi\) | |||||||
\(264\) | −0.184949 | + | 0.427373i | −0.0113828 | + | 0.0263030i | ||||
\(265\) | 6.95383 | + | 1.60575i | 0.427170 | + | 0.0986403i | ||||
\(266\) | 5.96926 | + | 4.49178i | 0.365999 | + | 0.275409i | ||||
\(267\) | −23.4445 | − | 5.58568i | −1.43478 | − | 0.341838i | ||||
\(268\) | −0.393781 | + | 2.23324i | −0.0240540 | + | 0.136417i | ||||
\(269\) | 21.9392 | + | 18.4092i | 1.33766 | + | 1.12243i | 0.982222 | + | 0.187725i | \(0.0601114\pi\) |
0.355434 | + | 0.934701i | \(0.384333\pi\) | |||||||
\(270\) | 3.35720 | + | 11.1234i | 0.204313 | + | 0.676946i | ||||
\(271\) | −8.81392 | + | 3.20800i | −0.535407 | + | 0.194872i | −0.595551 | − | 0.803317i | \(-0.703066\pi\) |
0.0601437 | + | 0.998190i | \(0.480844\pi\) | |||||||
\(272\) | −1.17869 | + | 0.989036i | −0.0714684 | + | 0.0599691i | ||||
\(273\) | 10.5506 | − | 3.14507i | 0.638549 | − | 0.190348i | ||||
\(274\) | 17.4577 | + | 10.0792i | 1.05466 | + | 0.608908i | ||||
\(275\) | −1.29218 | − | 0.370653i | −0.0779214 | − | 0.0223512i | ||||
\(276\) | −0.0876533 | + | 1.47497i | −0.00527611 | + | 0.0887827i | ||||
\(277\) | −3.47035 | − | 2.00361i | −0.208513 | − | 0.120385i | 0.392107 | − | 0.919920i | \(-0.371746\pi\) |
−0.600620 | + | 0.799534i | \(0.705080\pi\) | |||||||
\(278\) | −16.5169 | + | 9.53602i | −0.990616 | + | 0.571932i | ||||
\(279\) | 0.193714 | + | 0.826025i | 0.0115974 | + | 0.0494528i | ||||
\(280\) | −0.466866 | − | 3.80373i | −0.0279006 | − | 0.227317i | ||||
\(281\) | −3.96398 | − | 1.44277i | −0.236471 | − | 0.0860685i | 0.221066 | − | 0.975259i | \(-0.429046\pi\) |
−0.457538 | + | 0.889190i | \(0.651268\pi\) | |||||||
\(282\) | 11.4408 | − | 8.49640i | 0.681290 | − | 0.505953i | ||||
\(283\) | 7.69224 | + | 1.35635i | 0.457256 | + | 0.0806266i | 0.397532 | − | 0.917588i | \(-0.369867\pi\) |
0.0597241 | + | 0.998215i | \(0.480978\pi\) | |||||||
\(284\) | 2.39015 | 0.141829 | ||||||||
\(285\) | 16.4248 | + | 3.90217i | 0.972919 | + | 0.231145i | ||||
\(286\) | 0.997129 | 0.0589615 | ||||||||
\(287\) | −4.27469 | − | 0.753744i | −0.252327 | − | 0.0444921i | ||||
\(288\) | −2.75744 | + | 1.18174i | −0.162484 | + | 0.0696345i | ||||
\(289\) | 13.7501 | + | 5.00461i | 0.808827 | + | 0.294389i | ||||
\(290\) | −4.56220 | + | 0.559959i | −0.267901 | + | 0.0328819i | ||||
\(291\) | −9.31348 | + | 4.66365i | −0.545966 | + | 0.273388i | ||||
\(292\) | 6.30412 | − | 3.63969i | 0.368921 | − | 0.212997i | ||||
\(293\) | −19.3607 | − | 11.1779i | −1.13106 | − | 0.653020i | −0.186862 | − | 0.982386i | \(-0.559832\pi\) |
−0.944202 | + | 0.329366i | \(0.893165\pi\) | |||||||
\(294\) | −7.02446 | − | 0.417444i | −0.409675 | − | 0.0243458i | ||||
\(295\) | 31.4190 | + | 1.64802i | 1.82929 | + | 0.0959515i | ||||
\(296\) | −8.12399 | − | 4.69039i | −0.472197 | − | 0.272623i | ||||
\(297\) | −1.37493 | − | 0.247459i | −0.0797818 | − | 0.0143590i | ||||
\(298\) | −17.4018 | + | 14.6019i | −1.00806 | + | 0.845864i | ||||
\(299\) | 2.97305 | − | 1.08210i | 0.171936 | − | 0.0625796i | ||||
\(300\) | −4.40764 | − | 7.45471i | −0.254475 | − | 0.430398i | ||||
\(301\) | −7.73844 | − | 6.49332i | −0.446036 | − | 0.374269i | ||||
\(302\) | 1.78581 | − | 10.1278i | 0.102762 | − | 0.582790i | ||||
\(303\) | −2.03237 | + | 8.53036i | −0.116756 | + | 0.490057i | ||||
\(304\) | −0.528268 | + | 4.32677i | −0.0302982 | + | 0.248157i | ||||
\(305\) | −0.595441 | + | 2.57861i | −0.0340948 | + | 0.147651i | ||||
\(306\) | −3.69609 | − | 2.76521i | −0.211291 | − | 0.158077i | ||||
\(307\) | −1.85340 | − | 1.55519i | −0.105779 | − | 0.0887592i | 0.588364 | − | 0.808596i | \(-0.299772\pi\) |
−0.694143 | + | 0.719837i | \(0.744217\pi\) | |||||||
\(308\) | 0.432992 | + | 0.157596i | 0.0246720 | + | 0.00897988i | ||||
\(309\) | 16.3733 | − | 1.89419i | 0.931446 | − | 0.107757i | ||||
\(310\) | −0.287072 | − | 0.563473i | −0.0163046 | − | 0.0320031i | ||||
\(311\) | −23.3442 | + | 13.4778i | −1.32373 | + | 0.764254i | −0.984321 | − | 0.176386i | \(-0.943559\pi\) |
−0.339406 | + | 0.940640i | \(0.610226\pi\) | |||||||
\(312\) | 4.66727 | + | 4.41376i | 0.264232 | + | 0.249880i | ||||
\(313\) | 19.5355 | − | 3.44464i | 1.10421 | − | 0.194702i | 0.408313 | − | 0.912842i | \(-0.366117\pi\) |
0.695899 | + | 0.718139i | \(0.255006\pi\) | |||||||
\(314\) | −1.67496 | − | 9.49919i | −0.0945237 | − | 0.536070i | ||||
\(315\) | 10.7900 | − | 3.96900i | 0.607948 | − | 0.223628i | ||||
\(316\) | 4.56253 | − | 2.63418i | 0.256662 | − | 0.148184i | ||||
\(317\) | 11.5302 | + | 13.7411i | 0.647600 | + | 0.771779i | 0.985550 | − | 0.169385i | \(-0.0541780\pi\) |
−0.337950 | + | 0.941164i | \(0.609734\pi\) | |||||||
\(318\) | −5.49153 | + | 0.635302i | −0.307950 | + | 0.0356259i | ||||
\(319\) | 0.189021 | − | 0.519331i | 0.0105831 | − | 0.0290769i | ||||
\(320\) | 1.78586 | − | 1.34562i | 0.0998328 | − | 0.0752224i | ||||
\(321\) | 22.5720 | + | 9.76820i | 1.25984 | + | 0.545208i | ||||
\(322\) | 1.46204 | 0.0814764 | ||||||||
\(323\) | −6.17194 | + | 2.62480i | −0.343416 | + | 0.146048i | ||||
\(324\) | −5.34030 | − | 7.24439i | −0.296683 | − | 0.402466i | ||||
\(325\) | −10.9011 | + | 15.0013i | −0.604686 | + | 0.832121i | ||||
\(326\) | −16.5580 | − | 13.8938i | −0.917064 | − | 0.769508i | ||||
\(327\) | 15.9217 | − | 24.1456i | 0.880470 | − | 1.33526i | ||||
\(328\) | −0.866230 | − | 2.37995i | −0.0478296 | − | 0.131411i | ||||
\(329\) | −9.06386 | − | 10.8019i | −0.499707 | − | 0.595527i | ||||
\(330\) | 1.03923 | − | 0.0653189i | 0.0572078 | − | 0.00359569i | ||||
\(331\) | 21.8174 | + | 12.5963i | 1.19919 | + | 0.692355i | 0.960376 | − | 0.278709i | \(-0.0899064\pi\) |
0.238819 | + | 0.971064i | \(0.423240\pi\) | |||||||
\(332\) | −2.58176 | − | 14.6419i | −0.141692 | − | 0.803576i | ||||
\(333\) | 8.13490 | − | 26.9409i | 0.445790 | − | 1.47635i | ||||
\(334\) | −7.38809 | + | 12.7965i | −0.404258 | + | 0.700196i | ||||
\(335\) | 4.84922 | − | 1.48232i | 0.264941 | − | 0.0809877i | ||||
\(336\) | 1.32912 | + | 2.65429i | 0.0725092 | + | 0.144803i | ||||
\(337\) | −0.194977 | + | 0.0709657i | −0.0106211 | + | 0.00386575i | −0.347325 | − | 0.937745i | \(-0.612910\pi\) |
0.336704 | + | 0.941610i | \(0.390688\pi\) | |||||||
\(338\) | 0.258198 | − | 0.709392i | 0.0140441 | − | 0.0385859i | ||||
\(339\) | −10.2836 | + | 7.63699i | −0.558526 | + | 0.414784i | ||||
\(340\) | 3.16699 | + | 1.34448i | 0.171754 | + | 0.0729145i | ||||
\(341\) | 0.0760361 | 0.00411759 | ||||||||
\(342\) | −12.9993 | + | 1.42071i | −0.702921 | + | 0.0768233i | ||||
\(343\) | 18.9598i | 1.02373i | ||||||||
\(344\) | 1.02352 | − | 5.80469i | 0.0551847 | − | 0.312968i | ||||
\(345\) | 3.02770 | − | 1.32255i | 0.163006 | − | 0.0712036i | ||||
\(346\) | 9.22564 | + | 3.35786i | 0.495973 | + | 0.180520i | ||||
\(347\) | 27.1609 | − | 9.88575i | 1.45807 | − | 0.530695i | 0.513239 | − | 0.858246i | \(-0.328446\pi\) |
0.944833 | + | 0.327551i | \(0.106223\pi\) | |||||||
\(348\) | 3.18356 | − | 1.59414i | 0.170657 | − | 0.0854550i | ||||
\(349\) | −10.8248 | − | 18.7491i | −0.579438 | − | 1.00362i | −0.995544 | − | 0.0942999i | \(-0.969939\pi\) |
0.416106 | − | 0.909316i | \(-0.363395\pi\) | |||||||
\(350\) | −7.10465 | + | 4.79121i | −0.379759 | + | 0.256101i | ||||
\(351\) | −9.69466 | + | 16.6552i | −0.517462 | + | 0.888990i | ||||
\(352\) | 0.0466866 | + | 0.264773i | 0.00248841 | + | 0.0141125i | ||||
\(353\) | −14.4043 | + | 24.9490i | −0.766665 | + | 1.32790i | 0.172697 | + | 0.984975i | \(0.444752\pi\) |
−0.939362 | + | 0.342927i | \(0.888582\pi\) | |||||||
\(354\) | −23.3549 | + | 6.96200i | −1.24130 | + | 0.370026i | ||||
\(355\) | −2.42616 | − | 4.76213i | −0.128767 | − | 0.252748i | ||||
\(356\) | −13.0754 | + | 4.75907i | −0.692996 | + | 0.252230i | ||||
\(357\) | −2.51437 | + | 3.81311i | −0.133075 | + | 0.201811i | ||||
\(358\) | 1.07985 | − | 1.28692i | 0.0570719 | − | 0.0680157i | ||||
\(359\) | 8.08336 | + | 1.42531i | 0.426623 | + | 0.0752252i | 0.382837 | − | 0.923816i | \(-0.374947\pi\) |
0.0437858 | + | 0.999041i | \(0.486058\pi\) | |||||||
\(360\) | 5.15347 | + | 4.29439i | 0.271612 | + | 0.226334i | ||||
\(361\) | −7.70433 | + | 17.3679i | −0.405491 | + | 0.914099i | ||||
\(362\) | 15.2751 | 0.802841 | ||||||||
\(363\) | 7.51724 | − | 17.3705i | 0.394553 | − | 0.911717i | ||||
\(364\) | 4.08572 | − | 4.86917i | 0.214150 | − | 0.255214i | ||||
\(365\) | −13.6508 | − | 8.86580i | −0.714515 | − | 0.464057i | ||||
\(366\) | −0.235581 | − | 2.03636i | −0.0123140 | − | 0.106442i | ||||
\(367\) | 3.85915 | + | 4.59915i | 0.201446 | + | 0.240074i | 0.857304 | − | 0.514810i | \(-0.172138\pi\) |
−0.655858 | + | 0.754884i | \(0.727693\pi\) | |||||||
\(368\) | 0.426538 | + | 0.738785i | 0.0222348 | + | 0.0385119i | ||||
\(369\) | 6.35792 | − | 4.16021i | 0.330980 | − | 0.216572i | ||||
\(370\) | −1.09875 | + | 20.9473i | −0.0571211 | + | 1.08900i | ||||
\(371\) | 0.949865 | + | 5.38695i | 0.0493145 | + | 0.279677i | ||||
\(372\) | 0.355903 | + | 0.336572i | 0.0184527 | + | 0.0174504i | ||||
\(373\) | 9.09941 | + | 15.7606i | 0.471149 | + | 0.816055i | 0.999455 | − | 0.0329993i | \(-0.0105059\pi\) |
−0.528306 | + | 0.849054i | \(0.677173\pi\) | |||||||
\(374\) | −0.316899 | + | 0.265910i | −0.0163865 | + | 0.0137499i | ||||
\(375\) | −10.3787 | + | 16.3488i | −0.535955 | + | 0.844247i | ||||
\(376\) | 2.81401 | − | 7.73143i | 0.145121 | − | 0.398718i | ||||
\(377\) | −5.84008 | − | 4.90041i | −0.300779 | − | 0.252384i | ||||
\(378\) | −6.84215 | + | 5.70010i | −0.351922 | + | 0.293182i | ||||
\(379\) | − | 12.5834i | − | 0.646365i | −0.946337 | − | 0.323182i | \(-0.895247\pi\) | ||
0.946337 | − | 0.323182i | \(-0.104753\pi\) | |||||||
\(380\) | 9.15687 | − | 3.33943i | 0.469737 | − | 0.171309i | ||||
\(381\) | 2.72348 | + | 0.648870i | 0.139528 | + | 0.0332426i | ||||
\(382\) | −0.820822 | + | 4.65511i | −0.0419969 | + | 0.238176i | ||||
\(383\) | −6.53894 | + | 7.79281i | −0.334124 | + | 0.398194i | −0.906781 | − | 0.421601i | \(-0.861468\pi\) |
0.572657 | + | 0.819795i | \(0.305913\pi\) | |||||||
\(384\) | −0.953484 | + | 1.44598i | −0.0486573 | + | 0.0737900i | ||||
\(385\) | −0.125520 | − | 1.02266i | −0.00639711 | − | 0.0521197i | ||||
\(386\) | 5.93447 | + | 7.07242i | 0.302056 | + | 0.359977i | ||||
\(387\) | 17.6552 | − | 0.986503i | 0.897463 | − | 0.0501468i | ||||
\(388\) | −3.00681 | + | 5.20794i | −0.152647 | + | 0.264393i | ||||
\(389\) | 21.5108 | − | 3.79294i | 1.09064 | − | 0.192310i | 0.400725 | − | 0.916198i | \(-0.368758\pi\) |
0.689917 | + | 0.723889i | \(0.257647\pi\) | |||||||
\(390\) | 4.05639 | − | 13.7793i | 0.205403 | − | 0.697743i | ||||
\(391\) | −0.656300 | + | 1.13674i | −0.0331905 | + | 0.0574876i | ||||
\(392\) | −3.51843 | + | 2.03137i | −0.177707 | + | 0.102599i | ||||
\(393\) | −2.68351 | − | 5.35906i | −0.135365 | − | 0.270329i | ||||
\(394\) | 2.15861 | + | 5.93072i | 0.108749 | + | 0.298785i | ||||
\(395\) | −9.87959 | − | 6.41651i | −0.497096 | − | 0.322850i | ||||
\(396\) | −0.741360 | + | 0.317719i | −0.0372547 | + | 0.0159660i | ||||
\(397\) | −18.4723 | − | 3.25716i | −0.927096 | − | 0.163472i | −0.310339 | − | 0.950626i | \(-0.600443\pi\) |
−0.616757 | + | 0.787154i | \(0.711554\pi\) | |||||||
\(398\) | 24.1729i | 1.21168i | ||||||||
\(399\) | 2.16635 | + | 12.7566i | 0.108453 | + | 0.638630i | ||||
\(400\) | −4.49377 | − | 2.19226i | −0.224689 | − | 0.109613i | ||||
\(401\) | −0.952616 | + | 5.40255i | −0.0475714 | + | 0.269791i | −0.999311 | − | 0.0371161i | \(-0.988183\pi\) |
0.951740 | + | 0.306907i | \(0.0992940\pi\) | |||||||
\(402\) | −3.15332 | + | 2.34178i | −0.157273 | + | 0.116797i | ||||
\(403\) | 0.358739 | − | 0.985627i | 0.0178701 | − | 0.0490976i | ||||
\(404\) | 1.73160 | + | 4.75753i | 0.0861503 | + | 0.236696i | ||||
\(405\) | −9.01295 | + | 17.9935i | −0.447857 | + | 0.894105i | ||||
\(406\) | −1.76148 | − | 3.05097i | −0.0874208 | − | 0.151417i | ||||
\(407\) | −2.18420 | − | 1.26105i | −0.108267 | − | 0.0625078i | ||||
\(408\) | −2.66035 | − | 0.158097i | −0.131707 | − | 0.00782699i | ||||
\(409\) | 26.4803 | − | 4.66918i | 1.30936 | − | 0.230876i | 0.524960 | − | 0.851127i | \(-0.324080\pi\) |
0.784404 | + | 0.620250i | \(0.212969\pi\) | |||||||
\(410\) | −3.86252 | + | 4.14167i | −0.190756 | + | 0.204543i | ||||
\(411\) | 9.97440 | + | 33.4604i | 0.492001 | + | 1.65048i | ||||
\(412\) | 7.28983 | − | 6.11689i | 0.359144 | − | 0.301358i | ||||
\(413\) | 8.24761 | + | 22.6601i | 0.405838 | + | 1.11503i | ||||
\(414\) | −1.86565 | + | 1.75185i | −0.0916919 | + | 0.0860988i | ||||
\(415\) | −26.5518 | + | 20.0063i | −1.30337 | + | 0.982071i | ||||
\(416\) | 3.65242 | + | 0.644020i | 0.179075 | + | 0.0315757i | ||||
\(417\) | −32.1343 | − | 7.65602i | −1.57362 | − | 0.374917i | ||||
\(418\) | −0.142029 | + | 1.16329i | −0.00694686 | + | 0.0568981i | ||||
\(419\) | − | 26.6623i | − | 1.30254i | −0.758847 | − | 0.651269i | \(-0.774237\pi\) | ||
0.758847 | − | 0.651269i | \(-0.225763\pi\) | |||||||
\(420\) | 3.93926 | − | 5.34240i | 0.192216 | − | 0.260682i | ||||
\(421\) | 18.3324 | − | 21.8477i | 0.893466 | − | 1.06479i | −0.104066 | − | 0.994570i | \(-0.533185\pi\) |
0.997532 | − | 0.0702204i | \(-0.0223703\pi\) | |||||||
\(422\) | 14.5579 | + | 5.29864i | 0.708667 | + | 0.257934i | ||||
\(423\) | 24.5091 | + | 2.92334i | 1.19167 | + | 0.142138i | ||||
\(424\) | −2.44497 | + | 2.05157i | −0.118738 | + | 0.0996332i | ||||
\(425\) | −0.535968 | − | 7.67464i | −0.0259983 | − | 0.372275i | ||||
\(426\) | 3.00787 | + | 2.84450i | 0.145732 | + | 0.137816i | ||||
\(427\) | −1.99758 | + | 0.352227i | −0.0966696 | + | 0.0170455i | ||||
\(428\) | 13.9842 | − | 2.46579i | 0.675951 | − | 0.119188i | ||||
\(429\) | 1.25483 | + | 1.18667i | 0.0605839 | + | 0.0572932i | ||||
\(430\) | −12.6042 | + | 3.85287i | −0.607828 | + | 0.185802i | ||||
\(431\) | 24.3191 | − | 20.4062i | 1.17141 | − | 0.982930i | 0.171413 | − | 0.985199i | \(-0.445167\pi\) |
0.999997 | + | 0.00226871i | \(0.000722153\pi\) | |||||||
\(432\) | −4.87647 | − | 1.79446i | −0.234619 | − | 0.0863360i | ||||
\(433\) | −23.5039 | − | 8.55473i | −1.12953 | − | 0.411114i | −0.291407 | − | 0.956599i | \(-0.594123\pi\) |
−0.838121 | + | 0.545485i | \(0.816345\pi\) | |||||||
\(434\) | 0.311557 | − | 0.371299i | 0.0149552 | − | 0.0178229i | ||||
\(435\) | −6.40768 | − | 4.72475i | −0.307225 | − | 0.226534i | ||||
\(436\) | − | 16.6984i | − | 0.799709i | ||||||
\(437\) | 0.838943 | + | 3.62260i | 0.0401321 | + | 0.173292i | ||||
\(438\) | 12.2650 | + | 2.92213i | 0.586042 | + | 0.139625i | ||||
\(439\) | −34.2253 | − | 6.03484i | −1.63348 | − | 0.288027i | −0.719716 | − | 0.694268i | \(-0.755728\pi\) |
−0.913766 | + | 0.406241i | \(0.866839\pi\) | |||||||
\(440\) | 0.480143 | − | 0.361780i | 0.0228899 | − | 0.0172472i | ||||
\(441\) | −8.34310 | − | 8.88508i | −0.397291 | − | 0.423099i | ||||
\(442\) | 1.95175 | + | 5.36240i | 0.0928355 | + | 0.255063i | ||||
\(443\) | 4.69348 | − | 3.93830i | 0.222994 | − | 0.187114i | −0.524446 | − | 0.851444i | \(-0.675727\pi\) |
0.747440 | + | 0.664330i | \(0.231283\pi\) | |||||||
\(444\) | −4.64161 | − | 15.5709i | −0.220281 | − | 0.738961i | ||||
\(445\) | 22.7543 | + | 21.2207i | 1.07866 | + | 1.00596i | ||||
\(446\) | 5.57419 | − | 0.982880i | 0.263946 | − | 0.0465407i | ||||
\(447\) | −39.2768 | − | 2.33411i | −1.85773 | − | 0.110400i | ||||
\(448\) | 1.48423 | + | 0.856923i | 0.0701235 | + | 0.0404858i | ||||
\(449\) | −10.6754 | − | 18.4903i | −0.503802 | − | 0.872611i | −0.999990 | − | 0.00439613i | \(-0.998601\pi\) |
0.496188 | − | 0.868215i | \(-0.334733\pi\) | |||||||
\(450\) | 3.32502 | − | 14.6268i | 0.156743 | − | 0.689516i | ||||
\(451\) | −0.232893 | − | 0.639867i | −0.0109665 | − | 0.0301302i | ||||
\(452\) | −2.52937 | + | 6.94939i | −0.118972 | + | 0.326872i | ||||
\(453\) | 14.3003 | − | 10.6200i | 0.671889 | − | 0.498972i | ||||
\(454\) | 2.39646 | − | 13.5910i | 0.112472 | − | 0.637858i | ||||
\(455\) | −13.8486 | − | 3.19785i | −0.649232 | − | 0.149918i | ||||
\(456\) | −5.81404 | + | 4.81631i | −0.272268 | + | 0.225545i | ||||
\(457\) | 25.3271i | 1.18475i | 0.805661 | + | 0.592377i | \(0.201810\pi\) | ||||
−0.805661 | + | 0.592377i | \(0.798190\pi\) | |||||||
\(458\) | −1.41337 | − | 0.249215i | −0.0660424 | − | 0.0116451i | ||||
\(459\) | −1.36047 | − | 7.87854i | −0.0635011 | − | 0.367739i | ||||
\(460\) | 1.03899 | − | 1.59975i | 0.0484432 | − | 0.0745886i | ||||
\(461\) | 10.0255 | + | 27.5449i | 0.466935 | + | 1.28289i | 0.920176 | + | 0.391506i | \(0.128046\pi\) |
−0.453240 | + | 0.891388i | \(0.649732\pi\) | |||||||
\(462\) | 0.357343 | + | 0.713626i | 0.0166251 | + | 0.0332009i | ||||
\(463\) | 10.1011 | − | 5.83185i | 0.469436 | − | 0.271029i | −0.246568 | − | 0.969126i | \(-0.579303\pi\) |
0.716004 | + | 0.698097i | \(0.245969\pi\) | |||||||
\(464\) | 1.02779 | − | 1.78019i | 0.0477141 | − | 0.0826433i | ||||
\(465\) | 0.309320 | − | 1.05074i | 0.0143444 | − | 0.0487270i | ||||
\(466\) | 12.3393 | − | 2.17576i | 0.571609 | − | 0.100790i | ||||
\(467\) | 16.4861 | − | 28.5548i | 0.762886 | − | 1.32136i | −0.178471 | − | 0.983945i | \(-0.557115\pi\) |
0.941357 | − | 0.337413i | \(-0.109552\pi\) | |||||||
\(468\) | 0.620726 | + | 11.1090i | 0.0286931 | + | 0.513512i | ||||
\(469\) | 2.49818 | + | 2.97722i | 0.115355 | + | 0.137475i | ||||
\(470\) | −18.2605 | + | 2.24127i | −0.842293 | + | 0.103382i | ||||
\(471\) | 9.19705 | − | 13.9476i | 0.423778 | − | 0.642670i | ||||
\(472\) | −9.04423 | + | 10.7785i | −0.416295 | + | 0.496121i | ||||
\(473\) | 0.275182 | − | 1.56064i | 0.0126529 | − | 0.0717581i | ||||
\(474\) | 8.87660 | + | 2.11486i | 0.407716 | + | 0.0971386i | ||||
\(475\) | −15.9483 | − | 14.8544i | −0.731757 | − | 0.681566i | ||||
\(476\) | 2.63704i | 0.120868i | ||||||||
\(477\) | −7.66686 | − | 5.73593i | −0.351041 | − | 0.262630i | ||||
\(478\) | −1.86383 | − | 1.56394i | −0.0852498 | − | 0.0715331i | ||||
\(479\) | 12.2694 | − | 33.7099i | 0.560604 | − | 1.54025i | −0.258152 | − | 0.966104i | \(-0.583114\pi\) |
0.818756 | − | 0.574142i | \(-0.194664\pi\) | |||||||
\(480\) | 3.84882 | + | 0.431953i | 0.175674 | + | 0.0197159i | ||||
\(481\) | −26.6515 | + | 22.3633i | −1.21520 | + | 1.01968i | ||||
\(482\) | 6.77625 | + | 11.7368i | 0.308650 | + | 0.534597i | ||||
\(483\) | 1.83990 | + | 1.73996i | 0.0837183 | + | 0.0791710i | ||||
\(484\) | −1.89758 | − | 10.7617i | −0.0862535 | − | 0.489168i | ||||
\(485\) | 13.4284 | + | 0.704358i | 0.609752 | + | 0.0319833i | ||||
\(486\) | 1.90101 | − | 15.4721i | 0.0862315 | − | 0.701829i | ||||
\(487\) | −5.11325 | − | 8.85641i | −0.231704 | − | 0.401322i | 0.726606 | − | 0.687054i | \(-0.241097\pi\) |
−0.958310 | + | 0.285732i | \(0.907763\pi\) | |||||||
\(488\) | −0.760761 | − | 0.906639i | −0.0344380 | − | 0.0410416i | ||||
\(489\) | −4.30244 | − | 37.1902i | −0.194563 | − | 1.68180i | ||||
\(490\) | 7.61871 | + | 4.94814i | 0.344178 | + | 0.223534i | ||||
\(491\) | 5.68342 | − | 6.77324i | 0.256489 | − | 0.305672i | −0.622399 | − | 0.782701i | \(-0.713842\pi\) |
0.878888 | + | 0.477028i | \(0.158286\pi\) | |||||||
\(492\) | 1.74225 | − | 4.02593i | 0.0785468 | − | 0.181503i | ||||
\(493\) | 3.16286 | 0.142448 | ||||||||
\(494\) | 14.4091 | + | 7.32945i | 0.648297 | + | 0.329767i | ||||
\(495\) | 1.38555 | + | 1.15458i | 0.0622758 | + | 0.0518944i | ||||
\(496\) | 0.278515 | + | 0.0491098i | 0.0125057 | + | 0.00220509i | ||||
\(497\) | 2.63308 | − | 3.13799i | 0.118110 | − | 0.140758i | ||||
\(498\) | 14.1761 | − | 21.4985i | 0.635248 | − | 0.963371i | ||||
\(499\) | −16.4654 | + | 5.99292i | −0.737093 | + | 0.268280i | −0.683164 | − | 0.730265i | \(-0.739397\pi\) |
−0.0539286 | + | 0.998545i | \(0.517174\pi\) | |||||||
\(500\) | 0.193613 | + | 11.1787i | 0.00865863 | + | 0.499925i | ||||
\(501\) | −24.5265 | + | 7.31125i | −1.09577 | + | 0.326643i | ||||
\(502\) | 10.9503 | − | 18.9665i | 0.488735 | − | 0.846515i | ||||
\(503\) | 3.73623 | + | 21.1892i | 0.166590 | + | 0.944780i | 0.947410 | + | 0.320023i | \(0.103691\pi\) |
−0.780819 | + | 0.624757i | \(0.785198\pi\) | |||||||
\(504\) | −1.48623 | + | 4.92205i | −0.0662018 | + | 0.219245i | ||||
\(505\) | 7.72120 | − | 8.27923i | 0.343589 | − | 0.368421i | ||||
\(506\) | 0.114678 | + | 0.198628i | 0.00509806 | + | 0.00883010i | ||||
\(507\) | 1.16917 | − | 0.585452i | 0.0519246 | − | 0.0260009i | ||||
\(508\) | 1.51893 | − | 0.552845i | 0.0673916 | − | 0.0245285i | ||||
\(509\) | −25.5723 | − | 9.30755i | −1.13347 | − | 0.412550i | −0.293920 | − | 0.955830i | \(-0.594960\pi\) |
−0.839552 | + | 0.543280i | \(0.817182\pi\) | |||||||
\(510\) | 2.38544 | + | 5.46096i | 0.105629 | + | 0.241815i | ||||
\(511\) | 2.16639 | − | 12.2862i | 0.0958354 | − | 0.543509i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −18.0497 | − | 13.6825i | −0.796912 | − | 0.604095i | ||||
\(514\) | 7.56853 | 0.333833 | ||||||||
\(515\) | −19.5869 | − | 8.31520i | −0.863103 | − | 0.366411i | ||||
\(516\) | 8.19615 | − | 6.08680i | 0.360816 | − | 0.267956i | ||||
\(517\) | 0.756568 | − | 2.07865i | 0.0332738 | − | 0.0914191i | ||||
\(518\) | −15.1076 | + | 5.49873i | −0.663791 | + | 0.241600i | ||||
\(519\) | 7.61380 | + | 15.2050i | 0.334209 | + | 0.667427i | ||||
\(520\) | −2.42429 | − | 7.93079i | −0.106312 | − | 0.347788i | ||||
\(521\) | −10.2847 | + | 17.8136i | −0.450580 | + | 0.780428i | −0.998422 | − | 0.0561538i | \(-0.982116\pi\) |
0.547842 | + | 0.836582i | \(0.315450\pi\) | |||||||
\(522\) | 5.90350 | + | 1.78258i | 0.258389 | + | 0.0780215i | ||||
\(523\) | 3.11314 | + | 17.6555i | 0.136128 | + | 0.772021i | 0.974067 | + | 0.226258i | \(0.0726492\pi\) |
−0.837939 | + | 0.545763i | \(0.816240\pi\) | |||||||
\(524\) | −2.99669 | − | 1.73014i | −0.130911 | − | 0.0755816i | ||||
\(525\) | −14.6428 | − | 2.42570i | −0.639064 | − | 0.105866i | ||||
\(526\) | −8.12956 | − | 9.68843i | −0.354466 | − | 0.422436i | ||||
\(527\) | 0.148831 | + | 0.408910i | 0.00648319 | + | 0.0178124i | ||||
\(528\) | −0.256352 | + | 0.388764i | −0.0111563 | + | 0.0169188i | ||||
\(529\) | −17.0615 | − | 14.3163i | −0.741806 | − | 0.622449i | ||||
\(530\) | 6.56935 | + | 2.78887i | 0.285354 | + | 0.121141i | ||||
\(531\) | −37.6763 | − | 19.0332i | −1.63501 | − | 0.825971i | ||||
\(532\) | 5.09858 | + | 5.46009i | 0.221051 | + | 0.236725i | ||||
\(533\) | −9.39314 | −0.406862 | ||||||||
\(534\) | −22.1184 | − | 9.57192i | −0.957158 | − | 0.414218i | ||||
\(535\) | −19.1077 | − | 25.3591i | −0.826096 | − | 1.09637i | ||||
\(536\) | −0.775598 | + | 2.13094i | −0.0335007 | + | 0.0920425i | ||||
\(537\) | 2.89048 | − | 0.334393i | 0.124734 | − | 0.0144301i | ||||
\(538\) | 18.4092 | + | 21.9392i | 0.793675 | + | 0.945865i | ||||
\(539\) | −0.945956 | + | 0.546148i | −0.0407452 | + | 0.0235243i | ||||
\(540\) | 1.37465 | + | 11.5373i | 0.0591555 | + | 0.496488i | ||||
\(541\) | 2.60101 | + | 14.7510i | 0.111826 | + | 0.634196i | 0.988273 | + | 0.152698i | \(0.0487962\pi\) |
−0.876447 | + | 0.481498i | \(0.840093\pi\) | |||||||
\(542\) | −9.23708 | + | 1.62875i | −0.396767 | + | 0.0699607i | ||||
\(543\) | 19.2229 | + | 18.1788i | 0.824932 | + | 0.780125i | ||||
\(544\) | −1.33252 | + | 0.769333i | −0.0571315 | + | 0.0329849i | ||||
\(545\) | −33.2699 | + | 16.9500i | −1.42512 | + | 0.726056i | ||||
\(546\) | 10.9364 | − | 1.26521i | 0.468035 | − | 0.0541458i | ||||
\(547\) | 33.9042 | + | 12.3401i | 1.44964 | + | 0.527626i | 0.942491 | − | 0.334233i | \(-0.108477\pi\) |
0.507149 | + | 0.861858i | \(0.330699\pi\) | |||||||
\(548\) | 15.4423 | + | 12.9576i | 0.659661 | + | 0.553521i | ||||
\(549\) | 2.12699 | − | 2.84301i | 0.0907775 | − | 0.121337i | ||||
\(550\) | −1.20819 | − | 0.589406i | −0.0515172 | − | 0.0251324i | ||||
\(551\) | 6.54883 | − | 6.11523i | 0.278990 | − | 0.260518i | ||||
\(552\) | −0.342447 | + | 1.43734i | −0.0145755 | + | 0.0611772i | ||||
\(553\) | 1.56790 | − | 8.89198i | 0.0666737 | − | 0.378125i | ||||
\(554\) | −3.06970 | − | 2.57579i | −0.130419 | − | 0.109435i | ||||
\(555\) | −26.3118 | + | 25.0534i | −1.11688 | + | 1.06346i | ||||
\(556\) | −17.9219 | + | 6.52302i | −0.760056 | + | 0.276638i | ||||
\(557\) | 16.6543 | − | 13.9746i | 0.705665 | − | 0.592123i | −0.217714 | − | 0.976013i | \(-0.569860\pi\) |
0.923379 | + | 0.383889i | \(0.125416\pi\) | |||||||
\(558\) | 0.0473335 | + | 0.847114i | 0.00200379 | + | 0.0358612i | ||||
\(559\) | −18.9316 | − | 10.9302i | −0.800721 | − | 0.462296i | ||||
\(560\) | 0.200738 | − | 3.82702i | 0.00848274 | − | 0.161721i | ||||
\(561\) | −0.715257 | − | 0.0425057i | −0.0301982 | − | 0.00179459i | ||||
\(562\) | −3.65322 | − | 2.10919i | −0.154102 | − | 0.0889708i | ||||
\(563\) | 18.7954 | − | 10.8516i | 0.792134 | − | 0.457339i | −0.0485795 | − | 0.998819i | \(-0.515469\pi\) |
0.840713 | + | 0.541481i | \(0.182136\pi\) | |||||||
\(564\) | 12.7424 | − | 6.38065i | 0.536551 | − | 0.268674i | ||||
\(565\) | 16.4134 | − | 2.01456i | 0.690518 | − | 0.0847533i | ||||
\(566\) | 7.33985 | + | 2.67149i | 0.308517 | + | 0.112291i | ||||
\(567\) | −15.3941 | − | 0.969517i | −0.646492 | − | 0.0407159i | ||||
\(568\) | 2.35384 | + | 0.415045i | 0.0987649 | + | 0.0174149i | ||||
\(569\) | −11.9807 | −0.502255 | −0.251128 | − | 0.967954i | \(-0.580801\pi\) | ||||
−0.251128 | + | 0.967954i | \(0.580801\pi\) | |||||||
\(570\) | 15.4976 | + | 6.69502i | 0.649125 | + | 0.280423i | ||||
\(571\) | 11.2374 | 0.470273 | 0.235136 | − | 0.971962i | \(-0.424446\pi\) | ||||
0.235136 | + | 0.971962i | \(0.424446\pi\) | |||||||
\(572\) | 0.981981 | + | 0.173150i | 0.0410587 | + | 0.00723975i | ||||
\(573\) | −6.57297 | + | 4.88135i | −0.274590 | + | 0.203921i | ||||
\(574\) | −4.07887 | − | 1.48459i | −0.170249 | − | 0.0619654i | ||||
\(575\) | −4.24197 | − | 0.446236i | −0.176903 | − | 0.0186093i | ||||
\(576\) | −2.92076 | + | 0.684958i | −0.121698 | + | 0.0285399i | ||||
\(577\) | −38.2042 | + | 22.0572i | −1.59046 | + | 0.918254i | −0.597236 | + | 0.802065i | \(0.703735\pi\) |
−0.993227 | + | 0.116189i | \(0.962932\pi\) | |||||||
\(578\) | 12.6721 | + | 7.31625i | 0.527091 | + | 0.304316i | ||||
\(579\) | −0.948625 | + | 15.9628i | −0.0394235 | + | 0.663392i | ||||
\(580\) | −4.59012 | − | 0.240765i | −0.190594 | − | 0.00999724i | ||||
\(581\) | −22.0672 | − | 12.7405i | −0.915502 | − | 0.528565i | ||||
\(582\) | −9.98182 | + | 2.97553i | −0.413760 | + | 0.123340i | ||||
\(583\) | −0.657349 | + | 0.551581i | −0.0272246 | + | 0.0228442i | ||||
\(584\) | 6.84038 | − | 2.48969i | 0.283057 | − | 0.103024i | ||||
\(585\) | 21.5034 | − | 12.5130i | 0.889055 | − | 0.517350i | ||||
\(586\) | −17.1255 | − | 14.3700i | −0.707450 | − | 0.593621i | ||||
\(587\) | 3.47915 | − | 19.7312i | 0.143600 | − | 0.814395i | −0.824881 | − | 0.565307i | \(-0.808758\pi\) |
0.968481 | − | 0.249089i | \(-0.0801310\pi\) | |||||||
\(588\) | −6.84526 | − | 1.63089i | −0.282294 | − | 0.0672567i | ||||
\(589\) | 1.09877 | + | 0.558907i | 0.0452739 | + | 0.0230294i | ||||
\(590\) | 30.6555 | + | 7.07884i | 1.26207 | + | 0.291431i | ||||
\(591\) | −4.34161 | + | 10.0324i | −0.178590 | + | 0.412679i | ||||
\(592\) | −7.18609 | − | 6.02985i | −0.295347 | − | 0.247825i | ||||
\(593\) | −29.8213 | − | 10.8541i | −1.22462 | − | 0.445723i | −0.352865 | − | 0.935674i | \(-0.614793\pi\) |
−0.871750 | + | 0.489951i | \(0.837015\pi\) | |||||||
\(594\) | −1.31108 | − | 0.482454i | −0.0537941 | − | 0.0197953i | ||||
\(595\) | 5.25403 | − | 2.67676i | 0.215394 | − | 0.109737i | ||||
\(596\) | −19.6731 | + | 11.3582i | −0.805840 | + | 0.465252i | ||||
\(597\) | −28.7679 | + | 30.4202i | −1.17739 | + | 1.24502i | ||||
\(598\) | 3.11579 | − | 0.549398i | 0.127414 | − | 0.0224665i | ||||
\(599\) | 1.77242 | + | 10.0519i | 0.0724191 | + | 0.410709i | 0.999369 | + | 0.0355237i | \(0.0113099\pi\) |
−0.926950 | + | 0.375186i | \(0.877579\pi\) | |||||||
\(600\) | −3.04618 | − | 8.10684i | −0.124360 | − | 0.330960i | ||||
\(601\) | −37.4289 | + | 21.6096i | −1.52676 | + | 0.881473i | −0.527260 | + | 0.849704i | \(0.676781\pi\) |
−0.999495 | + | 0.0317688i | \(0.989886\pi\) | |||||||
\(602\) | −6.49332 | − | 7.73844i | −0.264648 | − | 0.315395i | ||||
\(603\) | −6.75521 | − | 0.805732i | −0.275093 | − | 0.0328119i | ||||
\(604\) | 3.51735 | − | 9.66384i | 0.143119 | − | 0.393216i | ||||
\(605\) | −19.5154 | + | 14.7045i | −0.793414 | + | 0.597825i | ||||
\(606\) | −3.48277 | + | 8.04785i | −0.141478 | + | 0.326922i | ||||
\(607\) | 27.5373 | 1.11770 | 0.558852 | − | 0.829267i | \(-0.311242\pi\) | ||||
0.558852 | + | 0.829267i | \(0.311242\pi\) | |||||||
\(608\) | −1.27158 | + | 4.16930i | −0.0515693 | + | 0.169088i | ||||
\(609\) | 1.41421 | − | 5.93580i | 0.0573067 | − | 0.240531i | ||||
\(610\) | −1.03416 | + | 2.43603i | −0.0418721 | + | 0.0986321i | ||||
\(611\) | −23.3753 | − | 19.6142i | −0.945663 | − | 0.793505i | ||||
\(612\) | −3.15976 | − | 3.36502i | −0.127726 | − | 0.136023i | ||||
\(613\) | −4.44877 | − | 12.2229i | −0.179684 | − | 0.493678i | 0.816851 | − | 0.576849i | \(-0.195718\pi\) |
−0.996535 | + | 0.0831701i | \(0.973496\pi\) | |||||||
\(614\) | −1.55519 | − | 1.85340i | −0.0627622 | − | 0.0747971i | ||||
\(615\) | −9.78974 | + | 0.615316i | −0.394760 | + | 0.0248119i | ||||
\(616\) | 0.399048 | + | 0.230390i | 0.0160781 | + | 0.00928269i | ||||
\(617\) | 1.13238 | + | 6.42203i | 0.0455878 | + | 0.258541i | 0.999080 | − | 0.0428750i | \(-0.0136517\pi\) |
−0.953493 | + | 0.301416i | \(0.902541\pi\) | |||||||
\(618\) | 16.4535 | + | 0.977786i | 0.661857 | + | 0.0393323i | ||||
\(619\) | 18.5495 | − | 32.1286i | 0.745565 | − | 1.29136i | −0.204365 | − | 0.978895i | \(-0.565513\pi\) |
0.949930 | − | 0.312462i | \(-0.101154\pi\) | |||||||
\(620\) | −0.184865 | − | 0.604763i | −0.00742434 | − | 0.0242879i | ||||
\(621\) | −4.43268 | − | 0.0156885i | −0.177878 | − | 0.000629557i | ||||
\(622\) | −25.3299 | + | 9.21934i | −1.01564 | + | 0.369662i | ||||
\(623\) | −8.15631 | + | 22.4093i | −0.326776 | + | 0.897809i | ||||
\(624\) | 3.82993 | + | 5.15717i | 0.153320 | + | 0.206452i | ||||
\(625\) | 22.0758 | − | 11.7328i | 0.883032 | − | 0.469312i | ||||
\(626\) | 19.8369 | 0.792841 | ||||||||
\(627\) | −1.56315 | + | 1.29490i | −0.0624262 | + | 0.0517134i | ||||
\(628\) | − | 9.64573i | − | 0.384907i | ||||||
\(629\) | 2.50642 | − | 14.2146i | 0.0999374 | − | 0.566773i | ||||
\(630\) | 11.3153 | − | 2.03504i | 0.450812 | − | 0.0810778i | ||||
\(631\) | 19.1152 | + | 6.95736i | 0.760963 | + | 0.276968i | 0.693211 | − | 0.720734i | \(-0.256195\pi\) |
0.0677517 | + | 0.997702i | \(0.478417\pi\) | |||||||
\(632\) | 4.95064 | − | 1.80188i | 0.196926 | − | 0.0716751i | ||||
\(633\) | 12.0144 | + | 23.9933i | 0.477531 | + | 0.953647i | ||||
\(634\) | 8.96889 | + | 15.5346i | 0.356200 | + | 0.616957i | ||||
\(635\) | −2.64330 | − | 2.46514i | −0.104896 | − | 0.0978260i | ||||
\(636\) | −5.51842 | − | 0.327944i | −0.218820 | − | 0.0130038i | ||||
\(637\) | 2.61648 | + | 14.8388i | 0.103669 | + | 0.587934i | ||||
\(638\) | 0.276330 | − | 0.478618i | 0.0109400 | − | 0.0189487i | ||||
\(639\) | 0.400034 | + | 7.15929i | 0.0158251 | + | 0.283217i | ||||
\(640\) | 1.99240 | − | 1.01506i | 0.0787564 | − | 0.0401239i | ||||
\(641\) | 19.3301 | − | 7.03558i | 0.763493 | − | 0.277889i | 0.0692208 | − | 0.997601i | \(-0.477949\pi\) |
0.694272 | + | 0.719713i | \(0.255726\pi\) | |||||||
\(642\) | 20.5328 | + | 13.5394i | 0.810366 | + | 0.534357i | ||||
\(643\) | −23.4283 | + | 27.9207i | −0.923921 | + | 1.10109i | 0.0706987 | + | 0.997498i | \(0.477477\pi\) |
−0.994620 | + | 0.103589i | \(0.966967\pi\) | |||||||
\(644\) | 1.43983 | + | 0.253881i | 0.0567372 | + | 0.0100043i | ||||
\(645\) | −20.4469 | − | 10.1515i | −0.805097 | − | 0.399715i | ||||
\(646\) | −6.53396 | + | 1.51317i | −0.257075 | + | 0.0595351i | ||||
\(647\) | −41.3515 | −1.62570 | −0.812848 | − | 0.582476i | \(-0.802084\pi\) | ||||
−0.812848 | + | 0.582476i | \(0.802084\pi\) | |||||||
\(648\) | −4.00119 | − | 8.06167i | −0.157182 | − | 0.316692i | ||||
\(649\) | −2.43161 | + | 2.89788i | −0.0954491 | + | 0.113752i | ||||
\(650\) | −13.3405 | + | 12.8804i | −0.523256 | + | 0.505211i | ||||
\(651\) | 0.833956 | − | 0.0964783i | 0.0326853 | − | 0.00378128i | ||||
\(652\) | −13.8938 | − | 16.5580i | −0.544124 | − | 0.648462i | ||||
\(653\) | −23.8430 | − | 41.2973i | −0.933049 | − | 1.61609i | −0.778076 | − | 0.628170i | \(-0.783804\pi\) |
−0.154973 | − | 0.987919i | \(-0.549529\pi\) | |||||||
\(654\) | 19.8726 | − | 21.0140i | 0.777081 | − | 0.821714i | ||||
\(655\) | −0.405294 | + | 7.72681i | −0.0158361 | + | 0.301911i | ||||
\(656\) | −0.439797 | − | 2.49421i | −0.0171712 | − | 0.0973826i | ||||
\(657\) | 11.9572 | + | 18.2738i | 0.466493 | + | 0.712927i | ||||
\(658\) | −7.05043 | − | 12.2117i | −0.274854 | − | 0.476062i | ||||
\(659\) | 23.9000 | − | 20.0544i | 0.931010 | − | 0.781210i | −0.0449886 | − | 0.998988i | \(-0.514325\pi\) |
0.975998 | + | 0.217777i | \(0.0698807\pi\) | |||||||
\(660\) | 1.03478 | + | 0.116134i | 0.0402789 | + | 0.00452051i | ||||
\(661\) | 6.43367 | − | 17.6764i | 0.250241 | − | 0.687531i | −0.749435 | − | 0.662078i | \(-0.769675\pi\) |
0.999676 | − | 0.0254533i | \(-0.00810291\pi\) | |||||||
\(662\) | 19.2987 | + | 16.1935i | 0.750064 | + | 0.629378i | ||||
\(663\) | −3.92557 | + | 9.07105i | −0.152456 | + | 0.352290i | ||||
\(664\) | − | 14.8677i | − | 0.576980i | ||||||
\(665\) | 5.70329 | − | 15.7007i | 0.221164 | − | 0.608848i | ||||
\(666\) | 12.6896 | − | 25.1190i | 0.491710 | − | 0.973343i | ||||
\(667\) | 0.304505 | − | 1.72693i | 0.0117905 | − | 0.0668670i | ||||
\(668\) | −9.49794 | + | 11.3192i | −0.367486 | + | 0.437953i | ||||
\(669\) | 8.18453 | + | 5.39689i | 0.316432 | + | 0.208656i | ||||
\(670\) | 5.03295 | − | 0.617739i | 0.194440 | − | 0.0238653i | ||||
\(671\) | −0.204536 | − | 0.243757i | −0.00789604 | − | 0.00941013i | ||||
\(672\) | 0.848011 | + | 2.84476i | 0.0327127 | + | 0.109739i | ||||
\(673\) | 23.2018 | − | 40.1867i | 0.894364 | − | 1.54908i | 0.0597736 | − | 0.998212i | \(-0.480962\pi\) |
0.834590 | − | 0.550871i | \(-0.185705\pi\) | |||||||
\(674\) | −0.204338 | + | 0.0360302i | −0.00787079 | + | 0.00138783i | ||||
\(675\) | 21.5916 | − | 14.4500i | 0.831062 | − | 0.556180i | ||||
\(676\) | 0.377460 | − | 0.653780i | 0.0145177 | − | 0.0251454i | ||||
\(677\) | 1.73145 | − | 0.999652i | 0.0665450 | − | 0.0384197i | −0.466358 | − | 0.884596i | \(-0.654434\pi\) |
0.532903 | + | 0.846176i | \(0.321101\pi\) | |||||||
\(678\) | −11.4535 | + | 5.73524i | −0.439868 | + | 0.220261i | ||||
\(679\) | 3.52500 | + | 9.68485i | 0.135277 | + | 0.371671i | ||||
\(680\) | 2.88541 | + | 1.87399i | 0.110651 | + | 0.0718644i | ||||
\(681\) | 19.1904 | − | 14.2515i | 0.735376 | − | 0.546120i | ||||
\(682\) | 0.0748810 | + | 0.0132035i | 0.00286734 | + | 0.000505590i | ||||
\(683\) | − | 24.0620i | − | 0.920707i | −0.887736 | − | 0.460354i | \(-0.847723\pi\) | ||
0.887736 | − | 0.460354i | \(-0.152277\pi\) | |||||||
\(684\) | −13.0485 | − | 0.858175i | −0.498922 | − | 0.0328132i | ||||
\(685\) | 10.1418 | − | 43.9199i | 0.387498 | − | 1.67809i | ||||
\(686\) | −3.29234 | + | 18.6718i | −0.125702 | + | 0.712892i | ||||
\(687\) | −1.48206 | − | 1.99566i | −0.0565441 | − | 0.0761392i | ||||
\(688\) | 2.01595 | − | 5.53877i | 0.0768573 | − | 0.211164i | ||||
\(689\) | 4.04856 | + | 11.1233i | 0.154238 | + | 0.423765i | ||||
\(690\) | 3.21136 | − | 0.776701i | 0.122254 | − | 0.0295685i | ||||
\(691\) | −9.19334 | − | 15.9233i | −0.349731 | − | 0.605752i | 0.636470 | − | 0.771301i | \(-0.280394\pi\) |
−0.986202 | + | 0.165549i | \(0.947060\pi\) | |||||||
\(692\) | 8.50239 | + | 4.90886i | 0.323212 | + | 0.186607i | ||||
\(693\) | −0.399584 | + | 1.32333i | −0.0151789 | + | 0.0502692i | ||||
\(694\) | 28.4649 | − | 5.01913i | 1.08051 | − | 0.190523i | ||||
\(695\) | 31.1883 | + | 29.0862i | 1.18304 | + | 1.10330i | ||||
\(696\) | 3.41201 | − | 1.01710i | 0.129332 | − | 0.0385532i | ||||
\(697\) | 2.98525 | − | 2.50492i | 0.113074 | − | 0.0948806i | ||||
\(698\) | −7.40460 | − | 20.3440i | −0.280268 | − | 0.770030i | ||||
\(699\) | 18.1177 | + | 11.9469i | 0.685276 | + | 0.451872i | ||||
\(700\) | −7.82870 | + | 3.48472i | −0.295897 | + | 0.131710i | ||||
\(701\) | −11.8330 | − | 2.08649i | −0.446928 | − | 0.0788055i | −0.0543454 | − | 0.998522i | \(-0.517307\pi\) |
−0.392583 | + | 0.919717i | \(0.628418\pi\) | |||||||
\(702\) | −12.4395 | + | 14.7187i | −0.469499 | + | 0.555523i | ||||
\(703\) | −22.2936 | − | 34.2779i | −0.840818 | − | 1.29282i | ||||
\(704\) | 0.268858i | 0.0101330i | ||||||||
\(705\) | −25.6471 | − | 18.9111i | −0.965926 | − | 0.712233i | ||||
\(706\) | −18.5178 | + | 22.0687i | −0.696928 | + | 0.830566i | ||||
\(707\) | 8.15368 | + | 2.96770i | 0.306651 | + | 0.111612i | ||||
\(708\) | −24.2091 | + | 2.80069i | −0.909832 | + | 0.105256i | ||||
\(709\) | −22.7018 | + | 19.0490i | −0.852583 | + | 0.715402i | −0.960357 | − | 0.278774i | \(-0.910072\pi\) |
0.107774 | + | 0.994175i | \(0.465628\pi\) | |||||||
\(710\) | −1.56236 | − | 5.11108i | −0.0586344 | − | 0.191815i | ||||
\(711\) | 8.65385 | + | 13.2254i | 0.324545 | + | 0.495991i | ||||
\(712\) | −13.7032 | + | 2.41624i | −0.513549 | + | 0.0905525i | ||||
\(713\) | 0.237595 | − | 0.0418944i | 0.00889799 | − | 0.00156896i | ||||
\(714\) | −3.13831 | + | 3.31857i | −0.117448 | + | 0.124194i | ||||
\(715\) | −0.651790 | − | 2.13225i | −0.0243756 | − | 0.0797418i | ||||
\(716\) | 1.28692 | − | 1.07985i | 0.0480944 | − | 0.0403560i | ||||
\(717\) | −0.484299 | − | 4.18627i | −0.0180865 | − | 0.156339i | ||||
\(718\) | 7.71305 | + | 2.80732i | 0.287848 | + | 0.104768i | ||||
\(719\) | 11.7605 | − | 14.0156i | 0.438592 | − | 0.522694i | −0.500789 | − | 0.865570i | \(-0.666957\pi\) |
0.939381 | + | 0.342876i | \(0.111401\pi\) | |||||||
\(720\) | 4.32946 | + | 5.12403i | 0.161350 | + | 0.190962i | ||||
\(721\) | − | 16.3093i | − | 0.607390i | ||||||
\(722\) | −10.6032 | + | 15.7662i | −0.394610 | + | 0.586756i | ||||
\(723\) | −5.44033 | + | 22.8345i | −0.202328 | + | 0.849224i | ||||
\(724\) | 15.0430 | + | 2.65249i | 0.559070 | + | 0.0985791i | ||||
\(725\) | 4.17957 | + | 9.38974i | 0.155225 | + | 0.348726i | ||||
\(726\) | 10.4194 | − | 15.8013i | 0.386700 | − | 0.586441i | ||||
\(727\) | −6.91987 | − | 19.0122i | −0.256644 | − | 0.705123i | −0.999369 | − | 0.0355262i | \(-0.988689\pi\) |
0.742725 | − | 0.669597i | \(-0.233533\pi\) | |||||||
\(728\) | 4.86917 | − | 4.08572i | 0.180463 | − | 0.151427i | ||||
\(729\) | 20.8055 | − | 17.2084i | 0.770575 | − | 0.637349i | ||||
\(730\) | −11.9039 | − | 11.1015i | −0.440582 | − | 0.410887i | ||||
\(731\) | 8.93148 | − | 1.57486i | 0.330343 | − | 0.0582483i | ||||
\(732\) | 0.121608 | − | 2.04633i | 0.00449475 | − | 0.0756345i | ||||
\(733\) | −21.4641 | − | 12.3923i | −0.792795 | − | 0.457721i | 0.0481505 | − | 0.998840i | \(-0.484667\pi\) |
−0.840946 | + | 0.541120i | \(0.818001\pi\) | |||||||
\(734\) | 3.00188 | + | 5.19941i | 0.110802 | + | 0.191914i | ||||
\(735\) | 3.69900 | + | 15.2939i | 0.136440 | + | 0.564125i | ||||
\(736\) | 0.291769 | + | 0.801629i | 0.0107548 | + | 0.0295484i | ||||
\(737\) | −0.208525 | + | 0.572919i | −0.00768113 | + | 0.0211037i | ||||
\(738\) | 6.98375 | − | 2.99297i | 0.257075 | − | 0.110173i | ||||
\(739\) | −3.57648 | + | 20.2832i | −0.131563 | + | 0.746131i | 0.845629 | + | 0.533772i | \(0.179226\pi\) |
−0.977192 | + | 0.212359i | \(0.931885\pi\) | |||||||
\(740\) | −4.71951 | + | 20.4382i | −0.173492 | + | 0.751324i | ||||
\(741\) | 9.41037 | + | 26.3719i | 0.345699 | + | 0.968795i | ||||
\(742\) | 5.47005i | 0.200812i | ||||||||
\(743\) | −19.2467 | − | 3.39371i | −0.706093 | − | 0.124503i | −0.190941 | − | 0.981602i | \(-0.561154\pi\) |
−0.515153 | + | 0.857098i | \(0.672265\pi\) | |||||||
\(744\) | 0.292051 | + | 0.393260i | 0.0107071 | + | 0.0144176i | ||||
\(745\) | 42.5996 | + | 27.6672i | 1.56073 | + | 1.01365i | ||||
\(746\) | 6.22436 | + | 17.1013i | 0.227890 | + | 0.626123i | ||||
\(747\) | 43.4251 | − | 10.1838i | 1.58884 | − | 0.372605i | ||||
\(748\) | −0.358259 | + | 0.206841i | −0.0130993 | + | 0.00756286i | ||||
\(749\) | 12.1682 | − | 21.0760i | 0.444617 | − | 0.770100i | ||||
\(750\) | −13.0600 | + | 14.2981i | −0.476883 | + | 0.522095i | ||||
\(751\) | −0.904984 | + | 0.159573i | −0.0330233 | + | 0.00582291i | −0.190135 | − | 0.981758i | \(-0.560893\pi\) |
0.157112 | + | 0.987581i | \(0.449782\pi\) | |||||||
\(752\) | 4.11381 | − | 7.12532i | 0.150015 | − | 0.259834i | ||||
\(753\) | 36.3522 | − | 10.8364i | 1.32475 | − | 0.394901i | ||||
\(754\) | −4.90041 | − | 5.84008i | −0.178462 | − | 0.212683i | ||||
\(755\) | −22.8245 | + | 2.80146i | −0.830670 | + | 0.101955i | ||||
\(756\) | −7.72802 | + | 4.42538i | −0.281065 | + | 0.160950i | ||||
\(757\) | −22.7389 | + | 27.0992i | −0.826459 | + | 0.984936i | 0.173541 | + | 0.984827i | \(0.444479\pi\) |
−1.00000 | 0.000109327i | \(0.999965\pi\) | ||||||||
\(758\) | 2.18508 | − | 12.3922i | 0.0793657 | − | 0.450105i | ||||
\(759\) | −0.0920696 | + | 0.386440i | −0.00334191 | + | 0.0140269i | ||||
\(760\) | 9.59764 | − | 1.69862i | 0.348143 | − | 0.0616155i | ||||
\(761\) | 40.6741i | 1.47444i | 0.675655 | + | 0.737218i | \(0.263861\pi\) | ||||
−0.675655 | + | 0.737218i | \(0.736139\pi\) | |||||||
\(762\) | 2.56943 | + | 1.11194i | 0.0930805 | + | 0.0402813i | ||||
\(763\) | −21.9230 | − | 18.3956i | −0.793668 | − | 0.665966i | ||||
\(764\) | −1.61670 | + | 4.44186i | −0.0584903 | + | 0.160701i | ||||
\(765\) | −3.49710 | + | 9.71121i | −0.126438 | + | 0.351109i | ||||
\(766\) | −7.79281 | + | 6.53894i | −0.281566 | + | 0.236262i | ||||
\(767\) | 26.0918 | + | 45.1922i | 0.942119 | + | 1.63180i | ||||
\(768\) | −1.19009 | + | 1.25844i | −0.0429437 | + | 0.0454102i | ||||
\(769\) | 5.82040 | + | 33.0091i | 0.209889 | + | 1.19034i | 0.889558 | + | 0.456822i | \(0.151012\pi\) |
−0.679669 | + | 0.733519i | \(0.737877\pi\) | |||||||
\(770\) | 0.0539700 | − | 1.02892i | 0.00194495 | − | 0.0370798i | ||||
\(771\) | 9.52457 | + | 9.00723i | 0.343019 | + | 0.324388i | ||||
\(772\) | 4.61620 | + | 7.99549i | 0.166141 | + | 0.287764i | ||||
\(773\) | 18.8113 | + | 22.4185i | 0.676596 | + | 0.806336i | 0.989666 | − | 0.143394i | \(-0.0458017\pi\) |
−0.313070 | + | 0.949730i | \(0.601357\pi\) | |||||||
\(774\) | 17.5582 | + | 2.09427i | 0.631118 | + | 0.0752770i | ||||
\(775\) | −1.01728 | + | 0.982196i | −0.0365417 | + | 0.0352815i | ||||
\(776\) | −3.86548 | + | 4.60669i | −0.138762 | + | 0.165371i | ||||
\(777\) | −25.5561 | − | 11.0596i | −0.916820 | − | 0.396761i | ||||
\(778\) | 21.8427 | 0.783097 | ||||||||
\(779\) | 1.33794 | − | 10.9584i | 0.0479366 | − | 0.392624i | ||||
\(780\) | 6.38752 | − | 12.8656i | 0.228710 | − | 0.460662i | ||||
\(781\) | 0.632848 | + | 0.111588i | 0.0226451 | + | 0.00399294i | ||||
\(782\) | −0.843723 | + | 1.00551i | −0.0301715 | + | 0.0359569i | ||||
\(783\) | 5.30780 | + | 9.26899i | 0.189685 | + | 0.331247i | ||||
\(784\) | −3.81772 | + | 1.38954i | −0.136347 | + | 0.0496263i | ||||
\(785\) | −19.2181 | + | 9.79103i | −0.685924 | + | 0.349457i | ||||
\(786\) | −1.71215 | − | 5.74363i | −0.0610703 | − | 0.204868i | ||||
\(787\) | 17.4744 | − | 30.2665i | 0.622894 | − | 1.07888i | −0.366050 | − | 0.930595i | \(-0.619290\pi\) |
0.988944 | − | 0.148289i | \(-0.0473767\pi\) | |||||||
\(788\) | 1.09595 | + | 6.21546i | 0.0390417 | + | 0.221416i | ||||
\(789\) | 1.29951 | − | 21.8673i | 0.0462638 | − | 0.778496i | ||||
\(790\) | −8.61528 | − | 8.03460i | −0.306518 | − | 0.285858i | ||||
\(791\) | 6.33728 | + | 10.9765i | 0.225328 | + | 0.390279i | ||||
\(792\) | −0.785269 | + | 0.184156i | −0.0279033 | + | 0.00654371i | ||||
\(793\) | −4.12473 | + | 1.50128i | −0.146473 | + | 0.0533120i | ||||
\(794\) | −17.6260 | − | 6.41535i | −0.625524 | − | 0.227672i | ||||
\(795\) | 4.94815 | + | 11.3278i | 0.175493 | + | 0.401755i | ||||
\(796\) | −4.19757 | + | 23.8056i | −0.148779 | + | 0.843768i | ||||
\(797\) | − | 37.8264i | − | 1.33988i | −0.742415 | − | 0.669941i | \(-0.766320\pi\) | ||
0.742415 | − | 0.669941i | \(-0.233680\pi\) | |||||||
\(798\) | −0.0817253 | + | 12.9390i | −0.00289305 | + | 0.458036i | ||||
\(799\) | 12.6595 | 0.447863 | ||||||||
\(800\) | −4.04482 | − | 2.93929i | −0.143006 | − | 0.103920i | ||||
\(801\) | −16.4434 | − | 38.3687i | −0.580998 | − | 1.35569i | ||||
\(802\) | −1.87629 | + | 5.15506i | −0.0662540 | + | 0.182031i | ||||
\(803\) | 1.83909 | − | 0.669373i | 0.0649000 | − | 0.0236217i | ||||
\(804\) | −3.51206 | + | 1.75864i | −0.123861 | + | 0.0620223i | ||||
\(805\) | −0.955688 | − | 3.12642i | −0.0336836 | − | 0.110192i | ||||
\(806\) | 0.524441 | − | 0.908358i | 0.0184726 | − | 0.0319956i | ||||
\(807\) | −2.94271 | + | 49.5178i | −0.103588 | + | 1.74311i | ||||
\(808\) | 0.879156 | + | 4.98594i | 0.0309286 | + | 0.175405i | ||||
\(809\) | 1.78358 | + | 1.02975i | 0.0627075 | + | 0.0362042i | 0.531026 | − | 0.847356i | \(-0.321807\pi\) |
−0.468318 | + | 0.883560i | \(0.655140\pi\) | |||||||
\(810\) | −12.0006 | + | 16.1551i | −0.421657 | + | 0.567631i | ||||
\(811\) | 11.1896 | + | 13.3353i | 0.392921 | + | 0.468265i | 0.925848 | − | 0.377896i | \(-0.123352\pi\) |
−0.532927 | + | 0.846161i | \(0.678908\pi\) | |||||||
\(812\) | −1.20492 | − | 3.31050i | −0.0422845 | − | 0.116176i | ||||
\(813\) | −13.5627 | − | 8.94328i | −0.475665 | − | 0.313654i | ||||
\(814\) | −1.93204 | − | 1.62117i | −0.0677178 | − | 0.0568220i | ||||
\(815\) | −18.8870 | + | 44.4894i | −0.661583 | + | 1.55840i | ||||
\(816\) | −2.59248 | − | 0.617661i | −0.0907551 | − | 0.0216225i | ||||
\(817\) | 15.4481 | − | 20.5294i | 0.540460 | − | 0.718232i | ||||
\(818\) | 26.8888 | 0.940143 | ||||||||
\(819\) | 15.2686 | + | 11.4231i | 0.533527 | + | 0.399156i | ||||
\(820\) | −4.52304 | + | 3.40803i | −0.157951 | + | 0.119014i | ||||
\(821\) | 7.02435 | − | 19.2992i | 0.245152 | − | 0.673548i | −0.754696 | − | 0.656075i | \(-0.772216\pi\) |
0.999847 | − | 0.0174734i | \(-0.00556225\pi\) | |||||||
\(822\) | 4.01252 | + | 34.6841i | 0.139953 | + | 1.20975i | ||||
\(823\) | 22.1939 | + | 26.4497i | 0.773632 | + | 0.921978i | 0.998627 | − | 0.0523814i | \(-0.0166812\pi\) |
−0.224995 | + | 0.974360i | \(0.572237\pi\) | |||||||
\(824\) | 8.24127 | − | 4.75810i | 0.287098 | − | 0.165756i | ||||
\(825\) | −0.818988 | − | 2.17959i | −0.0285135 | − | 0.0758834i | ||||
\(826\) | 4.18742 | + | 23.7480i | 0.145699 | + | 0.826300i | ||||
\(827\) | −27.1327 | + | 4.78422i | −0.943495 | + | 0.166364i | −0.624176 | − | 0.781284i | \(-0.714565\pi\) |
−0.319319 | + | 0.947647i | \(0.603454\pi\) | |||||||
\(828\) | −2.14152 | + | 1.40127i | −0.0744228 | + | 0.0486975i | ||||
\(829\) | −29.9117 | + | 17.2695i | −1.03888 | + | 0.599796i | −0.919515 | − | 0.393055i | \(-0.871418\pi\) |
−0.119362 | + | 0.992851i | \(0.538085\pi\) | |||||||
\(830\) | −29.6224 | + | 15.0917i | −1.02821 | + | 0.523841i | ||||
\(831\) | −0.797632 | − | 6.89471i | −0.0276696 | − | 0.239175i | ||||
\(832\) | 3.48510 | + | 1.26847i | 0.120824 | + | 0.0439763i | ||||
\(833\) | −4.78869 | − | 4.01819i | −0.165918 | − | 0.139222i | ||||
\(834\) | −30.3167 | − | 13.1198i | −1.04978 | − | 0.454301i | ||||
\(835\) | 32.1934 | + | 7.43395i | 1.11410 | + | 0.257263i | ||||
\(836\) | −0.341874 | + | 1.12095i | −0.0118239 | + | 0.0387688i | ||||
\(837\) | −0.948576 | + | 1.12238i | −0.0327876 | + | 0.0387951i | ||||
\(838\) | 4.62986 | − | 26.2572i | 0.159936 | − | 0.907041i | ||||
\(839\) | 28.7503 | + | 24.1243i | 0.992569 | + | 0.832864i | 0.985938 | − | 0.167114i | \(-0.0534447\pi\) |
0.00663147 | + | 0.999978i | \(0.497889\pi\) | |||||||
\(840\) | 4.80711 | − | 4.57719i | 0.165861 | − | 0.157928i | ||||
\(841\) | 23.2805 | − | 8.47340i | 0.802775 | − | 0.292186i | ||||
\(842\) | 21.8477 | − | 18.3324i | 0.752921 | − | 0.631776i | ||||
\(843\) | −2.08725 | − | 7.00197i | −0.0718888 | − | 0.241161i | ||||
\(844\) | 13.4166 | + | 7.74609i | 0.461819 | + | 0.266632i | ||||
\(845\) | −1.68573 | − | 0.0884217i | −0.0579910 | − | 0.00304180i | ||||
\(846\) | 23.6291 | + | 7.13489i | 0.812386 | + | 0.245303i | ||||
\(847\) | −16.2193 | − | 9.36421i | −0.557301 | − | 0.321758i | ||||
\(848\) | −2.76408 | + | 1.59584i | −0.0949188 | + | 0.0548014i | ||||
\(849\) | 6.05748 | + | 12.0970i | 0.207892 | + | 0.415168i | ||||
\(850\) | 0.804862 | − | 7.65111i | 0.0276065 | − | 0.262431i | ||||
\(851\) | −7.51990 | − | 2.73702i | −0.257779 | − | 0.0938239i | ||||
\(852\) | 2.46824 | + | 3.32359i | 0.0845604 | + | 0.113864i | ||||
\(853\) | 52.5699 | + | 9.26950i | 1.79996 | + | 0.317381i | 0.970485 | − | 0.241162i | \(-0.0775287\pi\) |
0.829475 | + | 0.558544i | \(0.188640\pi\) | |||||||
\(854\) | −2.02839 | −0.0694102 | ||||||||
\(855\) | 11.5352 | + | 26.8689i | 0.394497 | + | 0.918897i | ||||
\(856\) | 14.1999 | 0.485343 | ||||||||
\(857\) | 16.7281 | + | 2.94961i | 0.571420 | + | 0.100757i | 0.451890 | − | 0.892074i | \(-0.350750\pi\) |
0.119530 | + | 0.992831i | \(0.461861\pi\) | |||||||
\(858\) | 1.02970 | + | 1.38655i | 0.0351535 | + | 0.0473359i | ||||
\(859\) | −2.01853 | − | 0.734683i | −0.0688712 | − | 0.0250671i | 0.307355 | − | 0.951595i | \(-0.400556\pi\) |
−0.376226 | + | 0.926528i | \(0.622778\pi\) | |||||||
\(860\) | −13.0817 | + | 1.60564i | −0.446084 | + | 0.0547518i | ||||
\(861\) | −3.36624 | − | 6.72249i | −0.114721 | − | 0.229102i | ||||
\(862\) | 27.4932 | − | 15.8732i | 0.936421 | − | 0.540643i | ||||
\(863\) | 11.9136 | + | 6.87833i | 0.405544 | + | 0.234141i | 0.688873 | − | 0.724882i | \(-0.258106\pi\) |
−0.283329 | + | 0.959023i | \(0.591439\pi\) | |||||||
\(864\) | −4.49078 | − | 2.61399i | −0.152779 | − | 0.0889296i | ||||
\(865\) | 1.14992 | − | 21.9229i | 0.0390986 | − | 0.745403i | ||||
\(866\) | −21.6613 | − | 12.5062i | −0.736082 | − | 0.424977i | ||||
\(867\) | 7.24016 | + | 24.2881i | 0.245889 | + | 0.824866i | ||||
\(868\) | 0.371299 | − | 0.311557i | 0.0126027 | − | 0.0105749i | ||||
\(869\) | 1.33102 | − | 0.484450i | 0.0451516 | − | 0.0164339i | ||||
\(870\) | −5.48988 | − | 5.76565i | −0.186124 | − | 0.195474i | ||||
\(871\) | 6.44270 | + | 5.40607i | 0.218303 | + | 0.183178i | ||||
\(872\) | 2.89965 | − | 16.4447i | 0.0981945 | − | 0.556889i | ||||
\(873\) | −16.1027 | − | 8.13473i | −0.544995 | − | 0.275319i | ||||
\(874\) | 0.197140 | + | 3.71324i | 0.00666836 | + | 0.125602i | ||||
\(875\) | 14.8896 | + | 12.0607i | 0.503359 | + | 0.407725i | ||||
\(876\) | 11.5712 | + | 5.00753i | 0.390955 | + | 0.169189i | ||||
\(877\) | −12.3939 | − | 10.3998i | −0.418514 | − | 0.351175i | 0.409084 | − | 0.912497i | \(-0.365848\pi\) |
−0.827597 | + | 0.561322i | \(0.810293\pi\) | |||||||
\(878\) | −32.6574 | − | 11.8863i | −1.10213 | − | 0.401143i | ||||
\(879\) | −4.44990 | − | 38.4649i | −0.150092 | − | 1.29739i | ||||
\(880\) | 0.535671 | − | 0.272908i | 0.0180575 | − | 0.00919972i | ||||
\(881\) | −11.9255 | + | 6.88519i | −0.401780 | + | 0.231968i | −0.687252 | − | 0.726419i | \(-0.741183\pi\) |
0.285472 | + | 0.958387i | \(0.407850\pi\) | |||||||
\(882\) | −6.67348 | − | 10.1989i | −0.224708 | − | 0.343413i | ||||
\(883\) | −39.1996 | + | 6.91195i | −1.31917 | + | 0.232605i | −0.788533 | − | 0.614993i | \(-0.789159\pi\) |
−0.530639 | + | 0.847598i | \(0.678048\pi\) | |||||||
\(884\) | 0.990932 | + | 5.61985i | 0.0333286 | + | 0.189016i | ||||
\(885\) | 30.1538 | + | 45.3912i | 1.01361 | + | 1.52581i | ||||
\(886\) | 5.30605 | − | 3.06345i | 0.178260 | − | 0.102919i | ||||
\(887\) | 31.9511 | + | 38.0778i | 1.07281 | + | 1.27853i | 0.958503 | + | 0.285084i | \(0.0920215\pi\) |
0.114311 | + | 0.993445i | \(0.463534\pi\) | |||||||
\(888\) | −1.86724 | − | 16.1403i | −0.0626603 | − | 0.541634i | ||||
\(889\) | 0.947492 | − | 2.60321i | 0.0317779 | − | 0.0873089i | ||||
\(890\) | 18.7237 | + | 24.8495i | 0.627621 | + | 0.832959i | ||||
\(891\) | −1.07575 | − | 2.16744i | −0.0360390 | − | 0.0726120i | ||||
\(892\) | 5.66018 | 0.189517 | ||||||||
\(893\) | 26.2121 | − | 24.4766i | 0.877155 | − | 0.819078i | ||||
\(894\) | −38.2748 | − | 9.11900i | −1.28010 | − | 0.304985i | ||||
\(895\) | −3.45780 | − | 1.46793i | −0.115581 | − | 0.0490675i | ||||
\(896\) | 1.31288 | + | 1.10164i | 0.0438603 | + | 0.0368032i | ||||
\(897\) | 4.57488 | + | 3.01669i | 0.152751 | + | 0.100724i | ||||
\(898\) | −7.30239 | − | 20.0632i | −0.243684 | − | 0.669516i | ||||
\(899\) | −0.373681 | − | 0.445336i | −0.0124630 | − | 0.0148528i | ||||
\(900\) | 5.81443 | − | 13.8272i | 0.193814 | − | 0.460908i | ||||
\(901\) | −4.25299 | − | 2.45547i | −0.141688 | − | 0.0818035i | ||||
\(902\) | −0.118243 | − | 0.670588i | −0.00393705 | − | 0.0223281i | ||||
\(903\) | 1.03796 | − | 17.4660i | 0.0345411 | − | 0.581233i | ||||
\(904\) | −3.69769 | + | 6.40459i | −0.122983 | + | 0.213014i | ||||
\(905\) | −9.98482 | − | 32.6642i | −0.331907 | − | 1.08579i | ||||
\(906\) | 15.9272 | − | 7.97545i | 0.529147 | − | 0.264966i | ||||
\(907\) | 12.5986 | − | 4.58552i | 0.418330 | − | 0.152260i | −0.124275 | − | 0.992248i | \(-0.539660\pi\) |
0.542605 | + | 0.839988i | \(0.317438\pi\) | |||||||
\(908\) | 4.72011 | − | 12.9684i | 0.156642 | − | 0.430371i | ||||
\(909\) | −13.9605 | + | 5.98296i | −0.463042 | + | 0.198442i | ||||
\(910\) | −13.0829 | − | 5.55405i | −0.433694 | − | 0.184115i | ||||
\(911\) | 55.0860 | 1.82508 | 0.912541 | − | 0.408986i | \(-0.134117\pi\) | ||||
0.912541 | + | 0.408986i | \(0.134117\pi\) | |||||||
\(912\) | −6.56206 | + | 3.73355i | −0.217292 | + | 0.123630i | ||||
\(913\) | − | 3.99730i | − | 0.132291i | ||||||
\(914\) | −4.39801 | + | 24.9424i | −0.145473 | + | 0.825020i | ||||
\(915\) | −4.20054 | + | 1.83487i | −0.138866 | + | 0.0606588i | ||||
\(916\) | −1.34862 | − | 0.490858i | −0.0445597 | − | 0.0162184i | ||||
\(917\) | −5.57275 | + | 2.02832i | −0.184028 | + | 0.0669809i | ||||
\(918\) | 0.0282968 | − | 7.99509i | 0.000933934 | − | 0.263877i | ||||
\(919\) | 1.23232 | + | 2.13444i | 0.0406504 | + | 0.0704085i | 0.885635 | − | 0.464382i | \(-0.153724\pi\) |
−0.844984 | + | 0.534791i | \(0.820390\pi\) | |||||||
\(920\) | 1.30100 | − | 1.39502i | 0.0428927 | − | 0.0459926i | ||||
\(921\) | 0.248597 | − | 4.18322i | 0.00819154 | − | 0.137842i | ||||
\(922\) | 5.09009 | + | 28.8674i | 0.167633 | + | 0.950696i | ||||
\(923\) | 4.43225 | − | 7.67688i | 0.145889 | − | 0.252688i | ||||
\(924\) | 0.227994 | + | 0.764837i | 0.00750046 | + | 0.0251613i | ||||
\(925\) | 45.5117 | − | 11.3430i | 1.49641 | − | 0.372955i | ||||
\(926\) | 10.9603 | − | 3.98922i | 0.360177 | − | 0.131094i | ||||
\(927\) | 19.5422 | + | 20.8117i | 0.641849 | + | 0.683545i | ||||
\(928\) | 1.32131 | − | 1.57467i | 0.0433740 | − | 0.0516911i | ||||
\(929\) | −10.8048 | − | 1.90517i | −0.354493 | − | 0.0625067i | −0.00643416 | − | 0.999979i | \(-0.502048\pi\) |
−0.348059 | + | 0.937473i | \(0.613159\pi\) | |||||||
\(930\) | 0.487080 | − | 0.981066i | 0.0159720 | − | 0.0321704i | ||||
\(931\) | −17.6841 | + | 0.938869i | −0.579574 | + | 0.0307702i | ||||
\(932\) | 12.5297 | 0.410424 | ||||||||
\(933\) | −42.8482 | − | 18.5429i | −1.40279 | − | 0.607067i | ||||
\(934\) | 21.1941 | − | 25.2582i | 0.693493 | − | 0.826473i | ||||
\(935\) | 0.775766 | + | 0.503838i | 0.0253703 | + | 0.0164773i | ||||
\(936\) | −1.31775 | + | 11.0480i | −0.0430722 | + | 0.361114i | ||||
\(937\) | 8.57663 | + | 10.2212i | 0.280186 | + | 0.333913i | 0.887722 | − | 0.460379i | \(-0.152286\pi\) |
−0.607536 | + | 0.794292i | \(0.707842\pi\) | |||||||
\(938\) | 1.94324 | + | 3.36579i | 0.0634491 | + | 0.109897i | ||||
\(939\) | 24.9636 | + | 23.6077i | 0.814657 | + | 0.770408i | ||||
\(940\) | −18.3722 | − | 0.963678i | −0.599236 | − | 0.0314317i | ||||
\(941\) | −8.26369 | − | 46.8657i | −0.269388 | − | 1.52778i | −0.756241 | − | 0.654294i | \(-0.772966\pi\) |
0.486852 | − | 0.873484i | \(-0.338145\pi\) | |||||||
\(942\) | 11.4793 | − | 12.1386i | 0.374016 | − | 0.395498i | ||||
\(943\) | −1.08029 | − | 1.87111i | −0.0351790 | − | 0.0609318i | ||||
\(944\) | −10.7785 | + | 9.04423i | −0.350810 | + | 0.294365i | ||||
\(945\) | 16.6615 | + | 10.9052i | 0.542000 | + | 0.354747i | ||||
\(946\) | 0.542003 | − | 1.48914i | 0.0176220 | − | 0.0484161i | ||||
\(947\) | −25.8684 | − | 21.7061i | −0.840609 | − | 0.705354i | 0.117092 | − | 0.993121i | \(-0.462643\pi\) |
−0.957701 | + | 0.287767i | \(0.907087\pi\) | |||||||
\(948\) | 8.37451 | + | 3.62413i | 0.271991 | + | 0.117706i | ||||
\(949\) | − | 26.9975i | − | 0.876375i | ||||||
\(950\) | −13.1265 | − | 17.3981i | −0.425881 | − | 0.564469i | ||||
\(951\) | −7.20070 | + | 30.2232i | −0.233499 | + | 0.980055i | ||||
\(952\) | −0.457917 | + | 2.59698i | −0.0148412 | + | 0.0841684i | ||||
\(953\) | 20.5019 | − | 24.4332i | 0.664120 | − | 0.791468i | −0.323850 | − | 0.946108i | \(-0.604977\pi\) |
0.987971 | + | 0.154640i | \(0.0494219\pi\) | |||||||
\(954\) | −6.55435 | − | 6.98012i | −0.212205 | − | 0.225990i | ||||
\(955\) | 10.4910 | − | 1.28765i | 0.339481 | − | 0.0416675i | ||||
\(956\) | −1.56394 | − | 1.86383i | −0.0505815 | − | 0.0602807i | ||||
\(957\) | 0.917345 | − | 0.273456i | 0.0296536 | − | 0.00883959i | ||||
\(958\) | 17.9367 | − | 31.0672i | 0.579508 | − | 1.00374i | ||||
\(959\) | 34.0236 | − | 5.99928i | 1.09868 | − | 0.193727i | ||||
\(960\) | 3.71534 | + | 1.09373i | 0.119912 | + | 0.0353000i | ||||
\(961\) | −15.4600 | + | 26.7775i | −0.498710 | + | 0.863791i | ||||
\(962\) | −30.1299 | + | 17.3955i | −0.971429 | + | 0.560855i | ||||
\(963\) | 9.72634 | + | 41.4745i | 0.313427 | + | 1.33650i | ||||
\(964\) | 4.63523 | + | 12.7352i | 0.149291 | + | 0.410173i | ||||
\(965\) | 11.2444 | − | 17.3132i | 0.361972 | − | 0.557332i | ||||
\(966\) | 1.50980 | + | 2.03302i | 0.0485772 | + | 0.0654114i | ||||
\(967\) | 16.5601 | + | 2.91999i | 0.532537 | + | 0.0939006i | 0.433449 | − | 0.901178i | \(-0.357296\pi\) |
0.0990878 | + | 0.995079i | \(0.468408\pi\) | |||||||
\(968\) | − | 10.9277i | − | 0.351230i | ||||||
\(969\) | −10.0234 | − | 5.87176i | −0.322000 | − | 0.188628i | ||||
\(970\) | 13.1021 | + | 3.02547i | 0.420682 | + | 0.0971421i | ||||
\(971\) | −10.0132 | + | 56.7878i | −0.321340 | + | 1.82241i | 0.212900 | + | 0.977074i | \(0.431709\pi\) |
−0.534239 | + | 0.845333i | \(0.679402\pi\) | |||||||
\(972\) | 4.55883 | − | 14.9069i | 0.146225 | − | 0.478141i | ||||
\(973\) | −11.1795 | + | 30.7153i | −0.358397 | + | 0.984687i | ||||
\(974\) | −3.49767 | − | 9.60977i | −0.112073 | − | 0.307917i | ||||
\(975\) | −32.1171 | + | 0.332927i | −1.02857 | + | 0.0106622i | ||||
\(976\) | −0.591767 | − | 1.02497i | −0.0189420 | − | 0.0328085i | ||||
\(977\) | 18.5256 | + | 10.6957i | 0.592685 | + | 0.342187i | 0.766158 | − | 0.642652i | \(-0.222166\pi\) |
−0.173474 | + | 0.984839i | \(0.555499\pi\) | |||||||
\(978\) | 2.22093 | − | 37.3723i | 0.0710175 | − | 1.19503i | ||||
\(979\) | −3.68421 | + | 0.649625i | −0.117748 | + | 0.0207621i | ||||
\(980\) | 6.64373 | + | 6.19594i | 0.212226 | + | 0.197922i | ||||
\(981\) | 50.0172 | − | 2.79477i | 1.59693 | − | 0.0892302i | ||||
\(982\) | 6.77324 | − | 5.68342i | 0.216143 | − | 0.181365i | ||||
\(983\) | 6.48673 | + | 17.8222i | 0.206895 | + | 0.568439i | 0.999127 | − | 0.0417814i | \(-0.0133033\pi\) |
−0.792232 | + | 0.610220i | \(0.791081\pi\) | |||||||
\(984\) | 2.41488 | − | 3.66222i | 0.0769835 | − | 0.116747i | ||||
\(985\) | 11.2712 | − | 8.49266i | 0.359130 | − | 0.270599i | ||||
\(986\) | 3.11481 | + | 0.549225i | 0.0991958 | + | 0.0174909i | ||||
\(987\) | 5.66046 | − | 23.7584i | 0.180174 | − | 0.756239i | ||||
\(988\) | 12.9175 | + | 9.72021i | 0.410959 | + | 0.309241i | ||||
\(989\) | − | 5.02823i | − | 0.159888i | ||||||
\(990\) | 1.16401 | + | 1.37764i | 0.0369947 | + | 0.0437842i | ||||
\(991\) | −22.7938 | + | 27.1646i | −0.724070 | + | 0.862913i | −0.995019 | − | 0.0996809i | \(-0.968218\pi\) |
0.270950 | + | 0.962593i | \(0.412662\pi\) | |||||||
\(992\) | 0.265756 | + | 0.0967274i | 0.00843777 | + | 0.00307110i | ||||
\(993\) | 5.01457 | + | 43.3458i | 0.159132 | + | 1.37554i | ||||
\(994\) | 3.13799 | − | 2.63308i | 0.0995309 | − | 0.0835164i | ||||
\(995\) | 51.6910 | − | 15.8010i | 1.63872 | − | 0.500925i | ||||
\(996\) | 17.6940 | − | 18.7102i | 0.560654 | − | 0.592856i | ||||
\(997\) | −17.0051 | + | 2.99846i | −0.538557 | + | 0.0949622i | −0.436309 | − | 0.899797i | \(-0.643715\pi\) |
−0.102248 | + | 0.994759i | \(0.532604\pi\) | |||||||
\(998\) | −17.2559 | + | 3.04268i | −0.546226 | + | 0.0963144i | ||||
\(999\) | 45.8630 | − | 16.5092i | 1.45104 | − | 0.522328i |
(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 | 570.2.bf.a.59.34 | yes | 240 | |
3.2 | odd | 2 | inner | 570.2.bf.a.59.18 | yes | 240 | |
5.4 | even | 2 | inner | 570.2.bf.a.59.7 | yes | 240 | |
15.14 | odd | 2 | inner | 570.2.bf.a.59.23 | yes | 240 | |
19.10 | odd | 18 | inner | 570.2.bf.a.29.23 | yes | 240 | |
57.29 | even | 18 | inner | 570.2.bf.a.29.7 | ✓ | 240 | |
95.29 | odd | 18 | inner | 570.2.bf.a.29.18 | yes | 240 | |
285.29 | even | 18 | inner | 570.2.bf.a.29.34 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bf.a.29.7 | ✓ | 240 | 57.29 | even | 18 | inner | |
570.2.bf.a.29.18 | yes | 240 | 95.29 | odd | 18 | inner | |
570.2.bf.a.29.23 | yes | 240 | 19.10 | odd | 18 | inner | |
570.2.bf.a.29.34 | yes | 240 | 285.29 | even | 18 | inner | |
570.2.bf.a.59.7 | yes | 240 | 5.4 | even | 2 | inner | |
570.2.bf.a.59.18 | yes | 240 | 3.2 | odd | 2 | inner | |
570.2.bf.a.59.23 | yes | 240 | 15.14 | odd | 2 | inner | |
570.2.bf.a.59.34 | yes | 240 | 1.1 | even | 1 | trivial |