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 | 29.7 | ||
Character | \(\chi\) | \(=\) | 570.29 |
Dual form | 570.2.bf.a.59.7 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{17}{18}\right)\) | \(-1\) |
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 | ||||
\(5\) | −1.21793 | + | 1.87527i | −0.544677 | + | 0.838646i | ||||
\(6\) | 0.775516 | − | 1.54873i | 0.316603 | − | 0.632268i | ||||
\(7\) | −1.48423 | − | 0.856923i | −0.560988 | − | 0.323887i | 0.192554 | − | 0.981286i | \(-0.438323\pi\) |
−0.753542 | + | 0.657400i | \(0.771656\pi\) | |||||||
\(8\) | −0.866025 | + | 0.500000i | −0.306186 | + | 0.176777i | ||||
\(9\) | −0.867188 | − | 2.87193i | −0.289063 | − | 0.957310i | ||||
\(10\) | 0.873794 | − | 2.05827i | 0.276318 | − | 0.650883i | ||||
\(11\) | 0.232838 | − | 0.134429i | 0.0702032 | − | 0.0405318i | −0.464488 | − | 0.885580i | \(-0.653761\pi\) |
0.534691 | + | 0.845048i | \(0.320428\pi\) | |||||||
\(12\) | −0.494800 | + | 1.65987i | −0.142836 | + | 0.479164i | ||||
\(13\) | −2.84108 | − | 2.38395i | −0.787973 | − | 0.661188i | 0.157270 | − | 0.987556i | \(-0.449731\pi\) |
−0.945243 | + | 0.326368i | \(0.894175\pi\) | |||||||
\(14\) | 1.61049 | + | 0.586170i | 0.430421 | + | 0.156661i | ||||
\(15\) | −1.34991 | − | 3.63012i | −0.348545 | − | 0.937292i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | 0.267187 | + | 1.51529i | 0.0648023 | + | 0.367512i | 0.999913 | + | 0.0131574i | \(0.00418826\pi\) |
−0.935111 | + | 0.354354i | \(0.884701\pi\) | |||||||
\(18\) | 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 | \(-0.639459\pi\) |
0.257089 | + | 0.966388i | \(0.417237\pi\) | |||||||
\(24\) | 0.199049 | − | 1.72058i | 0.0406307 | − | 0.351211i | ||||
\(25\) | −2.03327 | − | 4.56791i | −0.406654 | − | 0.913582i | ||||
\(26\) | 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 | 0.933563 | + | 0.358413i | \(0.116682\pi\) |
−0.999847 | + | 0.0175008i | \(0.994429\pi\) | |||||||
\(30\) | 1.95976 | + | 3.34056i | 0.357802 | + | 0.609900i | ||||
\(31\) | 0.244922 | + | 0.141406i | 0.0439893 | + | 0.0253973i | 0.521833 | − | 0.853047i | \(-0.325248\pi\) |
−0.477844 | + | 0.878445i | \(0.658582\pi\) | |||||||
\(32\) | −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 | ||||
\(35\) | 3.41466 | − | 1.73966i | 0.577183 | − | 0.294057i | ||||
\(36\) | −1.79715 | − | 2.40214i | −0.299525 | − | 0.400356i | ||||
\(37\) | 9.38078 | 1.54219 | 0.771095 | − | 0.636720i | \(-0.219709\pi\) | ||||
0.771095 | + | 0.636720i | \(0.219709\pi\) | |||||||
\(38\) | −1.70589 | + | 4.01123i | −0.276732 | + | 0.650707i | ||||
\(39\) | 6.24886 | − | 1.48880i | 1.00062 | − | 0.238398i | ||||
\(40\) | 0.117127 | − | 2.23300i | 0.0185195 | − | 0.353068i | ||||
\(41\) | −1.94015 | + | 1.62798i | −0.303001 | + | 0.254248i | −0.781592 | − | 0.623790i | \(-0.785592\pi\) |
0.478591 | + | 0.878038i | \(0.341148\pi\) | |||||||
\(42\) | −2.47819 | + | 1.63413i | −0.382394 | + | 0.252151i | ||||
\(43\) | 2.01595 | − | 5.53877i | 0.307429 | − | 0.844654i | −0.685727 | − | 0.727859i | \(-0.740516\pi\) |
0.993156 | − | 0.116796i | \(-0.0372622\pi\) | |||||||
\(44\) | 0.172818 | − | 0.205957i | 0.0260534 | − | 0.0310492i | ||||
\(45\) | 6.44182 | + | 1.87161i | 0.960290 | + | 0.279003i | ||||
\(46\) | 0.738785 | − | 0.426538i | 0.108928 | − | 0.0628896i | ||||
\(47\) | 1.42871 | − | 8.10262i | 0.208399 | − | 1.18189i | −0.683602 | − | 0.729855i | \(-0.739588\pi\) |
0.892001 | − | 0.452033i | \(-0.149301\pi\) | |||||||
\(48\) | 0.102750 | + | 1.72900i | 0.0148306 | + | 0.249560i | ||||
\(49\) | −2.03137 | − | 3.51843i | −0.290195 | − | 0.502633i | ||||
\(50\) | 2.79559 | + | 4.14544i | 0.395356 | + | 0.586254i | ||||
\(51\) | −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 | \(-0.0407645\pi\) |
−0.841865 | + | 0.539688i | \(0.818542\pi\) | |||||||
\(54\) | −5.12037 | − | 0.884186i | −0.696794 | − | 0.120322i | ||||
\(55\) | −0.0314906 | + | 0.600359i | −0.00424619 | + | 0.0809524i | ||||
\(56\) | 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 | −0.554352 | − | 0.832283i | \(-0.687034\pi\) |
0.236263 | − | 0.971689i | \(-0.424077\pi\) | |||||||
\(60\) | −2.51007 | − | 2.94950i | −0.324049 | − | 0.380779i | ||||
\(61\) | −1.11216 | + | 0.404792i | −0.142397 | + | 0.0518284i | −0.412236 | − | 0.911077i | \(-0.635252\pi\) |
0.269838 | + | 0.962906i | \(0.413030\pi\) | |||||||
\(62\) | −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 | ||||
\(65\) | 7.93079 | − | 2.42429i | 0.983693 | − | 0.300697i | ||||
\(66\) | −0.0276250 | − | 0.464855i | −0.00340041 | − | 0.0572197i | ||||
\(67\) | −0.393781 | + | 2.23324i | −0.0481080 | + | 0.272834i | −0.999368 | − | 0.0355570i | \(-0.988679\pi\) |
0.951260 | + | 0.308391i | \(0.0997906\pi\) | |||||||
\(68\) | 0.769333 | + | 1.33252i | 0.0932953 | + | 0.161592i | ||||
\(69\) | 0.422102 | − | 1.41600i | 0.0508151 | − | 0.170466i | ||||
\(70\) | −3.06070 | + | 2.30618i | −0.365823 | + | 0.275642i | ||||
\(71\) | 2.24601 | + | 0.817480i | 0.266552 | + | 0.0970170i | 0.471839 | − | 0.881685i | \(-0.343590\pi\) |
−0.205287 | + | 0.978702i | \(0.565813\pi\) | |||||||
\(72\) | 2.18697 | + | 2.05357i | 0.257737 | + | 0.242016i | ||||
\(73\) | −4.67909 | − | 5.57633i | −0.547646 | − | 0.652660i | 0.419237 | − | 0.907877i | \(-0.362298\pi\) |
−0.966884 | + | 0.255217i | \(0.917853\pi\) | |||||||
\(74\) | −9.23826 | + | 1.62895i | −1.07393 | + | 0.189362i | ||||
\(75\) | 8.45155 | + | 1.88980i | 0.975901 | + | 0.218215i | ||||
\(76\) | 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 | 0.922131 | − | 0.386878i | \(-0.126447\pi\) |
−0.541127 | + | 0.840941i | \(0.682002\pi\) | |||||||
\(80\) | 0.272408 | + | 2.21941i | 0.0304562 | + | 0.248138i | ||||
\(81\) | −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 | −0.0926542 | − | 0.995698i | \(-0.529535\pi\) |
0.908627 | − | 0.417608i | \(-0.137132\pi\) | |||||||
\(84\) | 2.15678 | − | 2.03963i | 0.235324 | − | 0.222542i | ||||
\(85\) | −3.16699 | − | 1.34448i | −0.343509 | − | 0.145829i | ||||
\(86\) | −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 | −0.130811 | − | 0.991407i | \(-0.541758\pi\) |
−0.999061 | + | 0.0433325i | \(0.986203\pi\) | |||||||
\(90\) | −6.66896 | − | 0.724566i | −0.702970 | − | 0.0763760i | ||||
\(91\) | 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 | ||||||||
\(95\) | 3.95791 | + | 8.90702i | 0.406073 | + | 0.913841i | ||||
\(96\) | −0.401426 | − | 1.68489i | −0.0409704 | − | 0.171963i | ||||
\(97\) | 1.04425 | + | 5.92225i | 0.106028 | + | 0.601314i | 0.990805 | + | 0.135299i | \(0.0431995\pi\) |
−0.884777 | + | 0.466015i | \(0.845689\pi\) | |||||||
\(98\) | 2.61147 | + | 3.11223i | 0.263799 | + | 0.314383i | ||||
\(99\) | −0.587984 | − | 0.552118i | −0.0590947 | − | 0.0554900i | ||||
\(100\) | −3.47297 | − | 3.59701i | −0.347297 | − | 0.359701i | ||||
\(101\) | 3.25434 | − | 3.87837i | 0.323819 | − | 0.385913i | −0.579435 | − | 0.815018i | \(-0.696727\pi\) |
0.903254 | + | 0.429106i | \(0.141171\pi\) | |||||||
\(102\) | 2.55399 | + | 0.761332i | 0.252883 | + | 0.0753831i | ||||
\(103\) | −4.75810 | − | 8.24127i | −0.468829 | − | 0.812036i | 0.530536 | − | 0.847663i | \(-0.321991\pi\) |
−0.999365 | + | 0.0356262i | \(0.988657\pi\) | |||||||
\(104\) | 3.65242 | + | 0.644020i | 0.358149 | + | 0.0631513i | ||||
\(105\) | −1.10715 | + | 6.54471i | −0.108047 | + | 0.638699i | ||||
\(106\) | −1.59584 | − | 2.76408i | −0.155002 | − | 0.268471i | ||||
\(107\) | −12.2975 | − | 7.09995i | −1.18884 | − | 0.686378i | −0.230799 | − | 0.973002i | \(-0.574134\pi\) |
−0.958043 | + | 0.286623i | \(0.907467\pi\) | |||||||
\(108\) | 5.19612 | − | 0.0183905i | 0.499997 | − | 0.00176963i | ||||
\(109\) | −5.71119 | + | 15.6914i | −0.547033 | + | 1.50296i | 0.290664 | + | 0.956825i | \(0.406124\pi\) |
−0.837697 | + | 0.546136i | \(0.816098\pi\) | |||||||
\(110\) | −0.0732390 | − | 0.596706i | −0.00698307 | − | 0.0568937i | ||||
\(111\) | −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 | ||||
\(120\) | 2.98411 | + | 2.46882i | 0.272411 | + | 0.225371i | ||||
\(121\) | −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 | ||||
\(125\) | 11.0425 | + | 1.75048i | 0.987667 | + | 0.156568i | ||||
\(126\) | 0.286842 | − | 5.13353i | 0.0255539 | − | 0.457331i | ||||
\(127\) | −1.23824 | − | 1.03901i | −0.109876 | − | 0.0921972i | 0.586194 | − | 0.810170i | \(-0.300626\pi\) |
−0.696071 | + | 0.717973i | \(0.745070\pi\) | |||||||
\(128\) | −0.342020 | + | 0.939693i | −0.0302306 | + | 0.0830579i | ||||
\(129\) | 5.62006 | + | 8.52297i | 0.494819 | + | 0.750405i | ||||
\(130\) | −7.38933 | + | 3.76463i | −0.648087 | + | 0.330180i | ||||
\(131\) | −3.40772 | + | 0.600872i | −0.297733 | + | 0.0524984i | −0.320519 | − | 0.947242i | \(-0.603857\pi\) |
0.0227860 | + | 0.999740i | \(0.492746\pi\) | |||||||
\(132\) | 0.107927 | + | 0.452996i | 0.00939380 | + | 0.0394282i | ||||
\(133\) | −6.65856 | + | 3.38699i | −0.577370 | + | 0.293689i | ||||
\(134\) | − | 2.26770i | − | 0.195899i | ||||||
\(135\) | −9.25482 | + | 7.02484i | −0.796528 | + | 0.604602i | ||||
\(136\) | −0.989036 | − | 1.17869i | −0.0848091 | − | 0.101072i | ||||
\(137\) | −18.9427 | + | 6.89459i | −1.61839 | + | 0.589045i | −0.983074 | − | 0.183209i | \(-0.941351\pi\) |
−0.635314 | + | 0.772254i | \(0.719129\pi\) | |||||||
\(138\) | −0.169804 | + | 1.46778i | −0.0144547 | + | 0.124946i | ||||
\(139\) | −14.6100 | − | 12.2593i | −1.23921 | − | 1.03982i | −0.997586 | − | 0.0694469i | \(-0.977877\pi\) |
−0.241621 | − | 0.970371i | \(-0.577679\pi\) | |||||||
\(140\) | 2.61373 | − | 2.80263i | 0.220901 | − | 0.236866i | ||||
\(141\) | 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 | ||||
\(145\) | −3.36148 | − | 3.13491i | −0.279155 | − | 0.260340i | ||||
\(146\) | 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 | −0.878705 | − | 0.477366i | \(-0.841592\pi\) |
−0.317528 | − | 0.948249i | \(-0.602853\pi\) | |||||||
\(150\) | −8.65131 | − | 0.393494i | −0.706376 | − | 0.0321287i | ||||
\(151\) | 10.2840i | 0.836904i | 0.908239 | + | 0.418452i | \(0.137427\pi\) | ||||
−0.908239 | + | 0.418452i | \(0.862573\pi\) | |||||||
\(152\) | −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 | ||||
\(155\) | −0.563473 | + | 0.287072i | −0.0452593 | + | 0.0230582i | ||||
\(156\) | 5.36281 | − | 3.53625i | 0.429368 | − | 0.283126i | ||||
\(157\) | 3.29903 | − | 9.06402i | 0.263292 | − | 0.723388i | −0.735649 | − | 0.677363i | \(-0.763123\pi\) |
0.998940 | − | 0.0460245i | \(-0.0146552\pi\) | |||||||
\(158\) | −4.03579 | − | 3.38643i | −0.321071 | − | 0.269410i | ||||
\(159\) | −5.29778 | − | 1.57924i | −0.420142 | − | 0.125242i | ||||
\(160\) | −0.653667 | − | 2.13839i | −0.0516769 | − | 0.169055i | ||||
\(161\) | 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 | \(-0.345368\pi\) |
0.999285 | + | 0.0377994i | \(0.0120348\pi\) | |||||||
\(164\) | −1.26634 | + | 2.19337i | −0.0988849 | + | 0.171274i | ||||
\(165\) | −0.802302 | − | 0.663761i | −0.0624591 | − | 0.0516737i | ||||
\(166\) | −5.08506 | + | 13.9711i | −0.394678 | + | 1.08437i | ||||
\(167\) | 5.05375 | + | 13.8851i | 0.391071 | + | 1.07446i | 0.966513 | + | 0.256616i | \(0.0826076\pi\) |
−0.575443 | + | 0.817842i | \(0.695170\pi\) | |||||||
\(168\) | −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 | \(-0.677300\pi\) |
−0.206442 | + | 0.978459i | \(0.566189\pi\) | |||||||
\(174\) | 2.85837 | + | 2.12274i | 0.216693 | + | 0.160925i | ||||
\(175\) | −0.896497 | + | 8.52221i | −0.0677688 | + | 0.644218i | ||||
\(176\) | 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 | 0.895708 | − | 0.444642i | \(-0.146669\pi\) |
−0.832926 | + | 0.553385i | \(0.813336\pi\) | |||||||
\(180\) | 6.69346 | − | 0.444494i | 0.498901 | − | 0.0331306i | ||||
\(181\) | 15.0430 | + | 2.65249i | 1.11814 | + | 0.197158i | 0.702024 | − | 0.712153i | \(-0.252280\pi\) |
0.416116 | + | 0.909311i | \(0.363391\pi\) | |||||||
\(182\) | −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 | ||||
\(185\) | −11.4252 | + | 17.5915i | −0.839995 | + | 1.29335i | ||||
\(186\) | 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 | ||||
\(190\) | −5.44447 | − | 8.08442i | −0.394983 | − | 0.586505i | ||||
\(191\) | − | 4.72693i | − | 0.342028i | −0.985269 | − | 0.171014i | \(-0.945296\pi\) | ||
0.985269 | − | 0.171014i | \(-0.0547044\pi\) | |||||||
\(192\) | 0.687906 | + | 1.58959i | 0.0496453 | + | 0.114719i | ||||
\(193\) | −7.07242 | + | 5.93447i | −0.509084 | + | 0.427172i | −0.860807 | − | 0.508932i | \(-0.830040\pi\) |
0.351723 | + | 0.936104i | \(0.385596\pi\) | |||||||
\(194\) | −2.05678 | − | 5.65095i | −0.147668 | − | 0.405714i | ||||
\(195\) | −4.81881 | + | 13.5316i | −0.345082 | + | 0.969015i | ||||
\(196\) | −3.11223 | − | 2.61147i | −0.222302 | − | 0.186534i | ||||
\(197\) | −3.15567 | + | 5.46578i | −0.224832 | + | 0.389421i | −0.956269 | − | 0.292488i | \(-0.905517\pi\) |
0.731437 | + | 0.681909i | \(0.238850\pi\) | |||||||
\(198\) | 0.674926 | + | 0.441628i | 0.0479649 | + | 0.0313851i | ||||
\(199\) | 4.19757 | − | 23.8056i | 0.297558 | − | 1.68754i | −0.359062 | − | 0.933314i | \(-0.616903\pi\) |
0.656620 | − | 0.754221i | \(-0.271985\pi\) | |||||||
\(200\) | 4.04482 | + | 2.93929i | 0.286012 | + | 0.207839i | ||||
\(201\) | −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 | ||||
\(205\) | −0.689925 | − | 5.62108i | −0.0481864 | − | 0.392593i | ||||
\(206\) | 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 | ||||
\(210\) | −0.0461480 | − | 6.63754i | −0.00318451 | − | 0.458034i | ||||
\(211\) | 15.2568 | − | 2.69019i | 1.05032 | − | 0.185200i | 0.378264 | − | 0.925698i | \(-0.376521\pi\) |
0.672059 | + | 0.740497i | \(0.265410\pi\) | |||||||
\(212\) | 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 | ||||
\(215\) | 7.93139 | + | 10.5263i | 0.540917 | + | 0.717888i | ||||
\(216\) | −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 | ||||
\(220\) | 0.175743 | + | 0.574923i | 0.0118486 | + | 0.0387613i | ||||
\(221\) | 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 | \(-0.449581\pi\) |
−0.513909 | + | 0.857844i | \(0.671803\pi\) | |||||||
\(224\) | 1.61049 | − | 0.586170i | 0.107605 | − | 0.0391651i | ||||
\(225\) | −11.3555 | + | 9.80065i | −0.757033 | + | 0.653377i | ||||
\(226\) | −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 | \(0.515100\pi\) | |||||||
\(230\) | −0.0999185 | + | 1.90492i | −0.00658843 | + | 0.125607i | ||||
\(231\) | 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 | \(-0.523508\pi\) |
−0.697559 | + | 0.716528i | \(0.745730\pi\) | |||||||
\(234\) | 2.54035 | − | 10.8324i | 0.166068 | − | 0.708136i | ||||
\(235\) | 13.4545 | + | 12.5477i | 0.877676 | + | 0.818520i | ||||
\(236\) | −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 | −0.566598 | − | 0.823994i | \(-0.691741\pi\) |
0.430301 | + | 0.902685i | \(0.358407\pi\) | |||||||
\(240\) | −3.36748 | − | 1.91313i | −0.217370 | − | 0.123492i | ||||
\(241\) | 8.71138 | − | 10.3818i | 0.561150 | − | 0.668752i | −0.408640 | − | 0.912696i | \(-0.633997\pi\) |
0.969789 | + | 0.243944i | \(0.0784412\pi\) | |||||||
\(242\) | 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 | ||||
\(245\) | 9.07207 | + | 0.475857i | 0.579593 | + | 0.0304014i | ||||
\(246\) | 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 | ||||
\(250\) | −11.1787 | + | 0.193613i | −0.707001 | + | 0.0122452i | ||||
\(251\) | 7.49044 | + | 20.5798i | 0.472792 | + | 1.29899i | 0.915499 | + | 0.402320i | \(0.131796\pi\) |
−0.442707 | + | 0.896666i | \(0.645982\pi\) | |||||||
\(252\) | 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 | ||||
\(255\) | 5.14000 | − | 3.01542i | 0.321880 | − | 0.188833i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −7.45354 | − | 1.31426i | −0.464939 | − | 0.0819813i | −0.0637288 | − | 0.997967i | \(-0.520299\pi\) |
−0.401210 | + | 0.915986i | \(0.631410\pi\) | |||||||
\(258\) | −7.01468 | − | 7.41757i | −0.436715 | − | 0.461798i | ||||
\(259\) | −13.9233 | − | 8.03860i | −0.865150 | − | 0.499495i | ||||
\(260\) | 6.62335 | − | 4.99058i | 0.410762 | − | 0.309503i | ||||
\(261\) | 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 | \(-0.594720\pi\) |
0.890613 | + | 0.454761i | \(0.150275\pi\) | |||||||
\(264\) | −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 | 0.355434 | − | 0.934701i | \(-0.384333\pi\) |
0.982222 | − | 0.187725i | \(-0.0601114\pi\) | |||||||
\(270\) | 7.89436 | − | 8.52520i | 0.480436 | − | 0.518827i | ||||
\(271\) | −8.81392 | − | 3.20800i | −0.535407 | − | 0.194872i | 0.0601437 | − | 0.998190i | \(-0.480844\pi\) |
−0.595551 | + | 0.803317i | \(0.703066\pi\) | |||||||
\(272\) | 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 | ||||
\(275\) | −1.08748 | − | 0.790251i | −0.0655776 | − | 0.0476539i | ||||
\(276\) | −0.0876533 | − | 1.47497i | −0.00527611 | − | 0.0887827i | ||||
\(277\) | 3.47035 | − | 2.00361i | 0.208513 | − | 0.120385i | −0.392107 | − | 0.919920i | \(-0.628254\pi\) |
0.600620 | + | 0.799534i | \(0.294920\pi\) | |||||||
\(278\) | 16.5169 | + | 9.53602i | 0.990616 | + | 0.571932i | ||||
\(279\) | 0.193714 | − | 0.826025i | 0.0115974 | − | 0.0494528i | ||||
\(280\) | −2.08735 | + | 3.21392i | −0.124743 | + | 0.192069i | ||||
\(281\) | −3.96398 | + | 1.44277i | −0.236471 | + | 0.0860685i | −0.457538 | − | 0.889190i | \(-0.651268\pi\) |
0.221066 | + | 0.975259i | \(0.429046\pi\) | |||||||
\(282\) | −11.4408 | − | 8.49640i | −0.681290 | − | 0.505953i | ||||
\(283\) | −7.69224 | + | 1.35635i | −0.457256 | + | 0.0806266i | −0.397532 | − | 0.917588i | \(-0.630133\pi\) |
−0.0597241 | + | 0.998215i | \(0.519022\pi\) | |||||||
\(284\) | 2.39015 | 0.141829 | ||||||||
\(285\) | −16.4728 | − | 3.69438i | −0.975762 | − | 0.218836i | ||||
\(286\) | 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 | ||||
\(290\) | 3.85478 | + | 2.50357i | 0.226360 | + | 0.147015i | ||||
\(291\) | −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 | \(-0.440168\pi\) |
0.944202 | + | 0.329366i | \(0.106835\pi\) | |||||||
\(294\) | −7.02446 | + | 0.417444i | −0.409675 | + | 0.0243458i | ||||
\(295\) | 28.9606 | + | 12.2946i | 1.68615 | + | 0.715818i | ||||
\(296\) | −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 | ||||
\(300\) | 8.58821 | − | 1.11477i | 0.495840 | − | 0.0643612i | ||||
\(301\) | −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 | \(-0.700228\pi\) |
0.694143 | + | 0.719837i | \(0.255783\pi\) | |||||||
\(308\) | −0.432992 | + | 0.157596i | −0.0246720 | + | 0.00897988i | ||||
\(309\) | 16.3733 | + | 1.89419i | 0.931446 | + | 0.107757i | ||||
\(310\) | 0.505064 | − | 0.380557i | 0.0286857 | − | 0.0216142i | ||||
\(311\) | −23.3442 | − | 13.4778i | −1.32373 | − | 0.764254i | −0.339406 | − | 0.940640i | \(-0.610226\pi\) |
−0.984321 | + | 0.176386i | \(0.943559\pi\) | |||||||
\(312\) | −4.66727 | + | 4.41376i | −0.264232 | + | 0.249880i | ||||
\(313\) | −19.5355 | − | 3.44464i | −1.10421 | − | 0.194702i | −0.408313 | − | 0.912842i | \(-0.633883\pi\) |
−0.695899 | + | 0.718139i | \(0.744994\pi\) | |||||||
\(314\) | −1.67496 | + | 9.49919i | −0.0945237 | + | 0.536070i | ||||
\(315\) | −7.95735 | − | 8.29806i | −0.448346 | − | 0.467542i | ||||
\(316\) | 4.56253 | + | 2.63418i | 0.256662 | + | 0.148184i | ||||
\(317\) | −11.5302 | + | 13.7411i | −0.647600 | + | 0.771779i | −0.985550 | − | 0.169385i | \(-0.945822\pi\) |
0.337950 | + | 0.941164i | \(0.390266\pi\) | |||||||
\(318\) | 5.49153 | + | 0.635302i | 0.307950 | + | 0.0356259i | ||||
\(319\) | 0.189021 | + | 0.519331i | 0.0105831 | + | 0.0290769i | ||||
\(320\) | 1.01506 | + | 1.99240i | 0.0567438 | + | 0.111378i | ||||
\(321\) | 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 | ||||
\(325\) | −5.11297 | + | 17.8250i | −0.283617 | + | 0.988753i | ||||
\(326\) | −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 | ||||
\(330\) | 0.905374 | + | 0.514359i | 0.0498392 | + | 0.0283145i | ||||
\(331\) | 21.8174 | − | 12.5963i | 1.19919 | − | 0.692355i | 0.238819 | − | 0.971064i | \(-0.423240\pi\) |
0.960376 | + | 0.278709i | \(0.0899064\pi\) | |||||||
\(332\) | 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 | ||||
\(335\) | −3.70834 | − | 3.45839i | −0.202608 | − | 0.188952i | ||||
\(336\) | 1.32912 | − | 2.65429i | 0.0725092 | − | 0.144803i | ||||
\(337\) | 0.194977 | + | 0.0709657i | 0.0106211 | + | 0.00386575i | 0.347325 | − | 0.937745i | \(-0.387090\pi\) |
−0.336704 | + | 0.941610i | \(0.609312\pi\) | |||||||
\(338\) | −0.258198 | − | 0.709392i | −0.0140441 | − | 0.0385859i | ||||
\(339\) | −10.2836 | − | 7.63699i | −0.558526 | − | 0.414784i | ||||
\(340\) | −3.43584 | − | 0.180220i | −0.186335 | − | 0.00977380i | ||||
\(341\) | 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 | ||||
\(345\) | 2.14128 | + | 2.51615i | 0.115283 | + | 0.135465i | ||||
\(346\) | 9.22564 | − | 3.35786i | 0.495973 | − | 0.180520i | ||||
\(347\) | −27.1609 | − | 9.88575i | −1.45807 | − | 0.530695i | −0.513239 | − | 0.858246i | \(-0.671554\pi\) |
−0.944833 | + | 0.327551i | \(0.893777\pi\) | |||||||
\(348\) | −3.18356 | − | 1.59414i | −0.170657 | − | 0.0854550i | ||||
\(349\) | −10.8248 | + | 18.7491i | −0.579438 | + | 1.00362i | 0.416106 | + | 0.909316i | \(0.363395\pi\) |
−0.995544 | + | 0.0942999i | \(0.969939\pi\) | |||||||
\(350\) | −0.596989 | − | 8.54841i | −0.0319104 | − | 0.456932i | ||||
\(351\) | −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 | 0.939362 | + | 0.342927i | \(0.111418\pi\) |
−0.172697 | + | 0.984975i | \(0.555248\pi\) | |||||||
\(354\) | −23.3549 | − | 6.96200i | −1.24130 | − | 0.370026i | ||||
\(355\) | −4.26848 | + | 3.21623i | −0.226548 | + | 0.170700i | ||||
\(356\) | −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 | 0.0437858 | − | 0.999041i | \(-0.486058\pi\) |
0.382837 | + | 0.923816i | \(0.374947\pi\) | |||||||
\(360\) | −6.51459 | + | 1.60005i | −0.343349 | + | 0.0843300i | ||||
\(361\) | −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 | ||||
\(365\) | 16.1559 | − | 1.98296i | 0.845641 | − | 0.103793i | ||||
\(366\) | −0.235581 | + | 2.03636i | −0.0123140 | + | 0.106442i | ||||
\(367\) | −3.85915 | + | 4.59915i | −0.201446 | + | 0.240074i | −0.857304 | − | 0.514810i | \(-0.827862\pi\) |
0.655858 | + | 0.754884i | \(0.272307\pi\) | |||||||
\(368\) | −0.426538 | + | 0.738785i | −0.0222348 | + | 0.0385119i | ||||
\(369\) | 6.35792 | + | 4.16021i | 0.330980 | + | 0.216572i | ||||
\(370\) | 8.19687 | − | 19.3082i | 0.426135 | − | 1.00378i | ||||
\(371\) | 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 | \(-0.989494\pi\) |
0.528306 | + | 0.849054i | \(0.322827\pi\) | |||||||
\(374\) | −0.316899 | − | 0.265910i | −0.0163865 | − | 0.0137499i | ||||
\(375\) | −13.8373 | + | 13.5473i | −0.714556 | + | 0.699578i | ||||
\(376\) | 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 | \(0.104753\pi\) | ||||
−0.946337 | + | 0.323182i | \(0.895247\pi\) | |||||||
\(380\) | 6.76560 | + | 7.01617i | 0.347068 | + | 0.359922i | ||||
\(381\) | 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 | \(-0.138532\pi\) |
−0.572657 | + | 0.819795i | \(0.694087\pi\) | |||||||
\(384\) | −0.953484 | − | 1.44598i | −0.0486573 | − | 0.0737900i | ||||
\(385\) | 0.561201 | − | 0.864088i | 0.0286014 | − | 0.0440380i | ||||
\(386\) | 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 | 0.689917 | − | 0.723889i | \(-0.257647\pi\) |
0.400725 | + | 0.916198i | \(0.368758\pi\) | |||||||
\(390\) | 2.39587 | − | 14.1628i | 0.121320 | − | 0.717159i | ||||
\(391\) | −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 | ||||
\(395\) | −11.6927 | + | 1.43514i | −0.588321 | + | 0.0722099i | ||||
\(396\) | −0.741360 | − | 0.317719i | −0.0372547 | − | 0.0159660i | ||||
\(397\) | 18.4723 | − | 3.25716i | 0.927096 | − | 0.163472i | 0.310339 | − | 0.950626i | \(-0.399557\pi\) |
0.616757 | + | 0.787154i | \(0.288446\pi\) | |||||||
\(398\) | 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 | 0.951740 | − | 0.306907i | \(-0.0992940\pi\) |
−0.999311 | + | 0.0371161i | \(0.988183\pi\) | |||||||
\(402\) | 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 | ||||
\(405\) | −0.211138 | − | 20.1235i | −0.0104915 | − | 0.999945i | ||||
\(406\) | −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 | 0.784404 | − | 0.620250i | \(-0.212969\pi\) |
0.524960 | + | 0.851127i | \(0.324080\pi\) | |||||||
\(410\) | 1.65553 | + | 5.41588i | 0.0817610 | + | 0.267471i | ||||
\(411\) | 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 | ||||
\(415\) | 15.0917 | + | 29.6224i | 0.740822 | + | 1.45411i | ||||
\(416\) | 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 | \(0.225763\pi\) | ||||
−0.758847 | + | 0.651269i | \(0.774237\pi\) | |||||||
\(420\) | 1.19804 | + | 6.52869i | 0.0584585 | + | 0.318567i | ||||
\(421\) | 18.3324 | + | 21.8477i | 0.893466 | + | 1.06479i | 0.997532 | + | 0.0702204i | \(0.0223703\pi\) |
−0.104066 | + | 0.994570i | \(0.533185\pi\) | |||||||
\(422\) | −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 | ||||
\(425\) | 6.37845 | − | 4.30148i | 0.309400 | − | 0.208653i | ||||
\(426\) | 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 | ||||
\(430\) | −9.63877 | − | 8.98911i | −0.464823 | − | 0.433493i | ||||
\(431\) | 24.3191 | + | 20.4062i | 1.17141 | + | 0.982930i | 0.999997 | − | 0.00226871i | \(-0.000722153\pi\) |
0.171413 | + | 0.985199i | \(0.445167\pi\) | |||||||
\(432\) | 4.87647 | − | 1.79446i | 0.234619 | − | 0.0863360i | ||||
\(433\) | 23.5039 | − | 8.55473i | 1.12953 | − | 0.411114i | 0.291407 | − | 0.956599i | \(-0.405877\pi\) |
0.838121 | + | 0.545485i | \(0.183655\pi\) | |||||||
\(434\) | 0.311557 | + | 0.371299i | 0.0149552 | + | 0.0178229i | ||||
\(435\) | 7.83050 | − | 1.43693i | 0.375444 | − | 0.0688957i | ||||
\(436\) | 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 | −0.913766 | − | 0.406241i | \(-0.866839\pi\) |
−0.719716 | + | 0.694268i | \(0.755728\pi\) | |||||||
\(440\) | −0.272908 | − | 0.535671i | −0.0130104 | − | 0.0255371i | ||||
\(441\) | −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 | \(-0.324273\pi\) |
−0.747440 | + | 0.664330i | \(0.768717\pi\) | |||||||
\(444\) | −4.64161 | + | 15.5709i | −0.220281 | + | 0.738961i | ||||
\(445\) | 29.7548 | − | 9.09550i | 1.41051 | − | 0.431168i | ||||
\(446\) | 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 | 0.496188 | + | 0.868215i | \(0.334733\pi\) |
−0.999990 | + | 0.00439613i | \(0.998601\pi\) | |||||||
\(450\) | 9.48111 | − | 11.6236i | 0.446944 | − | 0.547943i | ||||
\(451\) | −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 | ||||
\(460\) | −0.232385 | − | 1.89333i | −0.0108350 | − | 0.0882769i | ||||
\(461\) | 10.0255 | − | 27.5449i | 0.466935 | − | 1.28289i | −0.453240 | − | 0.891388i | \(-0.649732\pi\) |
0.920176 | − | 0.391506i | \(-0.128046\pi\) | |||||||
\(462\) | −0.357343 | + | 0.713626i | −0.0166251 | + | 0.0332009i | ||||
\(463\) | −10.1011 | − | 5.83185i | −0.469436 | − | 0.271029i | 0.246568 | − | 0.969126i | \(-0.420697\pi\) |
−0.716004 | + | 0.698097i | \(0.754031\pi\) | |||||||
\(464\) | 1.02779 | + | 1.78019i | 0.0477141 | + | 0.0826433i | ||||
\(465\) | 0.182697 | − | 1.07998i | 0.00847238 | − | 0.0500829i | ||||
\(466\) | 12.3393 | + | 2.17576i | 0.571609 | + | 0.100790i | ||||
\(467\) | −16.4861 | − | 28.5548i | −0.762886 | − | 1.32136i | −0.941357 | − | 0.337413i | \(-0.890448\pi\) |
0.178471 | − | 0.983945i | \(-0.442885\pi\) | |||||||
\(468\) | −0.620726 | + | 11.1090i | −0.0286931 | + | 0.513512i | ||||
\(469\) | 2.49818 | − | 2.97722i | 0.115355 | − | 0.137475i | ||||
\(470\) | −15.4290 | − | 10.0207i | −0.711686 | − | 0.462220i | ||||
\(471\) | 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 | ||||
\(475\) | −21.5235 | − | 3.42602i | −0.987567 | − | 0.157196i | ||||
\(476\) | − | 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 | 0.818756 | + | 0.574142i | \(0.194664\pi\) |
−0.258152 | + | 0.966104i | \(0.583114\pi\) | |||||||
\(480\) | 3.64854 | + | 1.29930i | 0.166532 | + | 0.0593048i | ||||
\(481\) | −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 | ||||
\(485\) | −12.3776 | − | 5.25466i | −0.562040 | − | 0.238602i | ||||
\(486\) | 1.90101 | + | 15.4721i | 0.0862315 | + | 0.701829i | ||||
\(487\) | 5.11325 | − | 8.85641i | 0.231704 | − | 0.401322i | −0.726606 | − | 0.687054i | \(-0.758903\pi\) |
0.958310 | + | 0.285732i | \(0.0922368\pi\) | |||||||
\(488\) | 0.760761 | − | 0.906639i | 0.0344380 | − | 0.0410416i | ||||
\(489\) | −4.30244 | + | 37.1902i | −0.194563 | + | 1.68180i | ||||
\(490\) | −9.01688 | + | 1.10672i | −0.407341 | + | 0.0499966i | ||||
\(491\) | 5.68342 | + | 6.77324i | 0.256489 | + | 0.305672i | 0.878888 | − | 0.477028i | \(-0.158286\pi\) |
−0.622399 | + | 0.782701i | \(0.713842\pi\) | |||||||
\(492\) | −1.74225 | − | 4.02593i | −0.0785468 | − | 0.181503i | ||||
\(493\) | −3.16286 | −0.142448 | ||||||||
\(494\) | 14.4091 | − | 7.32945i | 0.648297 | − | 0.329767i | ||||
\(495\) | 1.75150 | − | 0.430185i | 0.0787239 | − | 0.0193354i | ||||
\(496\) | 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 | −0.0539286 | − | 0.998545i | \(-0.517174\pi\) |
−0.683164 | + | 0.730265i | \(0.739397\pi\) | |||||||
\(500\) | 10.9752 | − | 2.13183i | 0.490826 | − | 0.0953382i | ||||
\(501\) | −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 | 0.780819 | + | 0.624757i | \(0.214802\pi\) |
−0.947410 | + | 0.320023i | \(0.896309\pi\) | |||||||
\(504\) | −1.48623 | − | 4.92205i | −0.0662018 | − | 0.219245i | ||||
\(505\) | 3.30942 | + | 10.8264i | 0.147267 | + | 0.481767i | ||||
\(506\) | 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 | −0.839552 | − | 0.543280i | \(-0.817182\pi\) |
−0.293920 | + | 0.955830i | \(0.594960\pi\) | |||||||
\(510\) | −4.53829 | + | 3.86216i | −0.200959 | + | 0.171019i | ||||
\(511\) | 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 | ||||||||
\(515\) | 21.2497 | + | 1.11461i | 0.936372 | + | 0.0491155i | ||||
\(516\) | 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 | ||||
\(520\) | −5.65612 | + | 6.06489i | −0.248037 | + | 0.265963i | ||||
\(521\) | −10.2847 | − | 17.8136i | −0.450580 | − | 0.780428i | 0.547842 | − | 0.836582i | \(-0.315450\pi\) |
−0.998422 | + | 0.0561538i | \(0.982116\pi\) | |||||||
\(522\) | −5.90350 | + | 1.78258i | −0.258389 | + | 0.0780215i | ||||
\(523\) | −3.11314 | + | 17.6555i | −0.136128 | + | 0.772021i | 0.837939 | + | 0.545763i | \(0.183760\pi\) |
−0.974067 | + | 0.226258i | \(0.927351\pi\) | |||||||
\(524\) | −2.99669 | + | 1.73014i | −0.130911 | + | 0.0755816i | ||||
\(525\) | −10.9247 | − | 10.0472i | −0.476791 | − | 0.438497i | ||||
\(526\) | −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 | ||||
\(530\) | 7.12702 | + | 0.373833i | 0.309578 | + | 0.0162383i | ||||
\(531\) | −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 | ||||
\(535\) | 28.2918 | − | 14.4138i | 1.22316 | − | 0.623163i | ||||
\(536\) | −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 | ||||
\(540\) | −6.29405 | + | 9.76652i | −0.270853 | + | 0.420284i | ||||
\(541\) | 2.60101 | − | 14.7510i | 0.111826 | − | 0.634196i | −0.876447 | − | 0.481498i | \(-0.840093\pi\) |
0.988273 | − | 0.152698i | \(-0.0487962\pi\) | |||||||
\(542\) | 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 | ||||
\(545\) | −22.4697 | − | 29.8211i | −0.962496 | − | 1.27739i | ||||
\(546\) | 10.9364 | + | 1.26521i | 0.468035 | + | 0.0541458i | ||||
\(547\) | −33.9042 | + | 12.3401i | −1.44964 | + | 0.527626i | −0.942491 | − | 0.334233i | \(-0.891523\pi\) |
−0.507149 | + | 0.861858i | \(0.669301\pi\) | |||||||
\(548\) | −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 | ||||
\(555\) | −12.6632 | − | 34.0533i | −0.537523 | − | 1.44548i | ||||
\(556\) | −17.9219 | − | 6.52302i | −0.760056 | − | 0.276638i | ||||
\(557\) | −16.6543 | − | 13.9746i | −0.705665 | − | 0.592123i | 0.217714 | − | 0.976013i | \(-0.430140\pi\) |
−0.923379 | + | 0.383889i | \(0.874584\pi\) | |||||||
\(558\) | −0.0473335 | + | 0.847114i | −0.00200379 | + | 0.0358612i | ||||
\(559\) | −18.9316 | + | 10.9302i | −0.800721 | + | 0.462296i | ||||
\(560\) | 1.49755 | − | 3.52756i | 0.0632830 | − | 0.149067i | ||||
\(561\) | −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 | \(-0.484531\pi\) |
−0.840713 | + | 0.541481i | \(0.817864\pi\) | |||||||
\(564\) | 12.7424 | + | 6.38065i | 0.536551 | + | 0.268674i | ||||
\(565\) | −13.8683 | − | 9.00710i | −0.583446 | − | 0.378931i | ||||
\(566\) | 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 | \(0.580801\pi\) | |||||||
\(570\) | 16.8640 | + | 0.777793i | 0.706356 | + | 0.0325782i | ||||
\(571\) | 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 | ||||
\(575\) | 2.96271 | + | 3.06852i | 0.123553 | + | 0.127966i | ||||
\(576\) | −2.92076 | − | 0.684958i | −0.121698 | − | 0.0285399i | ||||
\(577\) | 38.2042 | + | 22.0572i | 1.59046 | + | 0.918254i | 0.993227 | + | 0.116189i | \(0.0370679\pi\) |
0.597236 | + | 0.802065i | \(0.296265\pi\) | |||||||
\(578\) | −12.6721 | + | 7.31625i | −0.527091 | + | 0.304316i | ||||
\(579\) | −0.948625 | − | 15.9628i | −0.0394235 | − | 0.663392i | ||||
\(580\) | −4.23096 | − | 1.79616i | −0.175681 | − | 0.0745815i | ||||
\(581\) | −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 | ||||
\(585\) | −13.8399 | − | 20.6744i | −0.572209 | − | 0.854779i | ||||
\(586\) | −17.1255 | + | 14.3700i | −0.707450 | + | 0.593621i | ||||
\(587\) | −3.47915 | − | 19.7312i | −0.143600 | − | 0.814395i | −0.968481 | − | 0.249089i | \(-0.919869\pi\) |
0.824881 | − | 0.565307i | \(-0.191242\pi\) | |||||||
\(588\) | 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 | \(-0.385207\pi\) |
0.871750 | + | 0.489951i | \(0.162985\pi\) | |||||||
\(594\) | −1.31108 | + | 0.482454i | −0.0537941 | + | 0.0197953i | ||||
\(595\) | 3.54845 | + | 4.70939i | 0.145472 | + | 0.193066i | ||||
\(596\) | −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 | −0.926950 | − | 0.375186i | \(-0.877579\pi\) |
0.999369 | − | 0.0355237i | \(-0.0113099\pi\) | |||||||
\(600\) | −8.26416 | + | 2.58916i | −0.337383 | + | 0.105702i | ||||
\(601\) | −37.4289 | − | 21.6096i | −1.52676 | − | 0.881473i | −0.999495 | − | 0.0317688i | \(-0.989886\pi\) |
−0.527260 | − | 0.849704i | \(-0.676781\pi\) | |||||||
\(602\) | 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 | ||||
\(605\) | −11.0923 | − | 21.7723i | −0.450967 | − | 0.885172i | ||||
\(606\) | −3.48277 | − | 8.04785i | −0.141478 | − | 0.326922i | ||||
\(607\) | −27.5373 | −1.11770 | −0.558852 | − | 0.829267i | \(-0.688758\pi\) | ||||
−0.558852 | + | 0.829267i | \(0.688758\pi\) | |||||||
\(608\) | 1.27158 | + | 4.16930i | 0.0515693 | + | 0.169088i | ||||
\(609\) | 1.41421 | + | 5.93580i | 0.0573067 | + | 0.240531i | ||||
\(610\) | −0.138624 | + | 2.64283i | −0.00561273 | + | 0.107005i | ||||
\(611\) | −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 | \(-0.804282\pi\) |
0.996535 | + | 0.0831701i | \(0.0265045\pi\) | |||||||
\(614\) | −1.55519 | + | 1.85340i | −0.0627622 | + | 0.0747971i | ||||
\(615\) | 8.52879 | + | 4.84535i | 0.343914 | + | 0.195383i | ||||
\(616\) | 0.399048 | − | 0.230390i | 0.0160781 | − | 0.00928269i | ||||
\(617\) | −1.13238 | + | 6.42203i | −0.0455878 | + | 0.258541i | −0.999080 | − | 0.0428750i | \(-0.986348\pi\) |
0.953493 | + | 0.301416i | \(0.0974594\pi\) | |||||||
\(618\) | −16.4535 | + | 0.977786i | −0.661857 | + | 0.0393323i | ||||
\(619\) | 18.5495 | + | 32.1286i | 0.745565 | + | 1.29136i | 0.949930 | + | 0.312462i | \(0.101154\pi\) |
−0.204365 | + | 0.978895i | \(0.565513\pi\) | |||||||
\(620\) | −0.431307 | + | 0.462479i | −0.0173217 | + | 0.0185736i | ||||
\(621\) | −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 | ||||
\(625\) | −16.7316 | + | 18.5756i | −0.669265 | + | 0.743024i | ||||
\(626\) | 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 | ||||
\(630\) | 9.27740 | + | 6.79021i | 0.369620 | + | 0.270528i | ||||
\(631\) | 19.1152 | − | 6.95736i | 0.760963 | − | 0.276968i | 0.0677517 | − | 0.997702i | \(-0.478417\pi\) |
0.693211 | + | 0.720734i | \(0.256195\pi\) | |||||||
\(632\) | −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 | ||||
\(635\) | 3.45652 | − | 1.05659i | 0.137168 | − | 0.0419297i | ||||
\(636\) | −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 | ||||
\(640\) | −1.34562 | − | 1.78586i | −0.0531903 | − | 0.0705925i | ||||
\(641\) | 19.3301 | + | 7.03558i | 0.763493 | + | 0.277889i | 0.694272 | − | 0.719713i | \(-0.255726\pi\) |
0.0692208 | + | 0.997601i | \(0.477949\pi\) | |||||||
\(642\) | −20.5328 | + | 13.5394i | −0.810366 | + | 0.534357i | ||||
\(643\) | 23.4283 | + | 27.9207i | 0.923921 | + | 1.10109i | 0.994620 | + | 0.103589i | \(0.0330327\pi\) |
−0.0706987 | + | 0.997498i | \(0.522523\pi\) | |||||||
\(644\) | 1.43983 | − | 0.253881i | 0.0567372 | − | 0.0100043i | ||||
\(645\) | −22.8277 | + | 0.158711i | −0.898841 | + | 0.00624926i | ||||
\(646\) | −6.53396 | − | 1.51317i | −0.257075 | − | 0.0595351i | ||||
\(647\) | 41.3515 | 1.62570 | 0.812848 | − | 0.582476i | \(-0.197916\pi\) | ||||
0.812848 | + | 0.582476i | \(0.197916\pi\) | |||||||
\(648\) | 4.00119 | − | 8.06167i | 0.157182 | − | 0.316692i | ||||
\(649\) | −2.43161 | − | 2.89788i | −0.0954491 | − | 0.113752i | ||||
\(650\) | 1.94002 | − | 18.4421i | 0.0760938 | − | 0.723357i | ||||
\(651\) | 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 | 0.154973 | − | 0.987919i | \(-0.450471\pi\) |
0.778076 | − | 0.628170i | \(-0.216196\pi\) | |||||||
\(654\) | 19.8726 | + | 21.0140i | 0.777081 | + | 0.821714i | ||||
\(655\) | 3.02358 | − | 7.12221i | 0.118141 | − | 0.278288i | ||||
\(656\) | −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 | 0.975998 | − | 0.217777i | \(-0.0698807\pi\) |
−0.0449886 | + | 0.998988i | \(0.514325\pi\) | |||||||
\(660\) | −0.980937 | − | 0.349328i | −0.0381829 | − | 0.0135976i | ||||
\(661\) | 6.43367 | + | 17.6764i | 0.250241 | + | 0.687531i | 0.999676 | + | 0.0254533i | \(0.00810291\pi\) |
−0.749435 | + | 0.662078i | \(0.769675\pi\) | |||||||
\(662\) | −19.2987 | + | 16.1935i | −0.750064 | + | 0.629378i | ||||
\(663\) | 3.92557 | + | 9.07105i | 0.152456 | + | 0.352290i | ||||
\(664\) | 14.8677i | 0.576980i | ||||||||
\(665\) | 1.75816 | − | 16.6117i | 0.0681787 | − | 0.644175i | ||||
\(666\) | 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 | ||||
\(670\) | 4.25254 | + | 2.76191i | 0.164290 | + | 0.106702i | ||||
\(671\) | −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 | −0.834590 | − | 0.550871i | \(-0.814295\pi\) |
−0.0597736 | − | 0.998212i | \(-0.519038\pi\) | |||||||
\(674\) | −0.204338 | − | 0.0360302i | −0.00787079 | − | 0.00138783i | ||||
\(675\) | −1.90171 | − | 25.9111i | −0.0731968 | − | 0.997318i | ||||
\(676\) | 0.377460 | + | 0.653780i | 0.0145177 | + | 0.0251454i | ||||
\(677\) | −1.73145 | − | 0.999652i | −0.0665450 | − | 0.0384197i | 0.466358 | − | 0.884596i | \(-0.345566\pi\) |
−0.532903 | + | 0.846176i | \(0.678899\pi\) | |||||||
\(678\) | 11.4535 | + | 5.73524i | 0.439868 | + | 0.220261i | ||||
\(679\) | 3.52500 | − | 9.68485i | 0.135277 | − | 0.371671i | ||||
\(680\) | 3.41494 | − | 0.419145i | 0.130957 | − | 0.0160735i | ||||
\(681\) | 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 | ||||
\(690\) | −2.54568 | − | 2.10609i | −0.0969122 | − | 0.0801775i | ||||
\(691\) | −9.19334 | + | 15.9233i | −0.349731 | + | 0.605752i | −0.986202 | − | 0.165549i | \(-0.947060\pi\) |
0.636470 | + | 0.771301i | \(0.280394\pi\) | |||||||
\(692\) | −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 | ||||
\(695\) | 40.7835 | − | 12.4668i | 1.54701 | − | 0.472891i | ||||
\(696\) | 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 | ||||
\(700\) | 2.07234 | + | 8.31488i | 0.0783269 | + | 0.314273i | ||||
\(701\) | −11.8330 | + | 2.08649i | −0.446928 | + | 0.0788055i | −0.392583 | − | 0.919717i | \(-0.628418\pi\) |
−0.0543454 | + | 0.998522i | \(0.517307\pi\) | |||||||
\(702\) | 12.4395 | + | 14.7187i | 0.469499 | + | 0.555523i | ||||
\(703\) | 22.2936 | − | 34.2779i | 0.840818 | − | 1.29282i | ||||
\(704\) | − | 0.268858i | − | 0.0101330i | ||||||
\(705\) | −31.3421 | + | 5.75141i | −1.18041 | + | 0.216611i | ||||
\(706\) | −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 | 0.107774 | − | 0.994175i | \(-0.465628\pi\) |
−0.960357 | + | 0.278774i | \(0.910072\pi\) | |||||||
\(710\) | 3.64514 | − | 3.90859i | 0.136800 | − | 0.146687i | ||||
\(711\) | 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 | ||||
\(715\) | 1.52069 | − | 1.63059i | 0.0568706 | − | 0.0609807i | ||||
\(716\) | 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 | 0.939381 | − | 0.342876i | \(-0.111401\pi\) |
−0.500789 | + | 0.865570i | \(0.666957\pi\) | |||||||
\(720\) | 6.13777 | − | 2.70699i | 0.228741 | − | 0.100883i | ||||
\(721\) | 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 | ||||
\(725\) | 9.97286 | − | 2.48556i | 0.370383 | − | 0.0923113i | ||||
\(726\) | 10.4194 | + | 15.8013i | 0.386700 | + | 0.586441i | ||||
\(727\) | 6.91987 | − | 19.0122i | 0.256644 | − | 0.705123i | −0.742725 | − | 0.669597i | \(-0.766467\pi\) |
0.999369 | − | 0.0355262i | \(-0.0113107\pi\) | |||||||
\(728\) | −4.86917 | − | 4.08572i | −0.180463 | − | 0.151427i | ||||
\(729\) | 20.8055 | + | 17.2084i | 0.770575 | + | 0.637349i | ||||
\(730\) | −15.5662 | + | 4.75829i | −0.576129 | + | 0.176112i | ||||
\(731\) | 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 | \(-0.515333\pi\) |
0.840946 | + | 0.541120i | \(0.181999\pi\) | |||||||
\(734\) | 3.00188 | − | 5.19941i | 0.110802 | − | 0.191914i | ||||
\(735\) | −10.0301 | + | 12.1236i | −0.369967 | + | 0.447188i | ||||
\(736\) | 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 | −0.977192 | − | 0.212359i | \(-0.931885\pi\) |
0.845629 | − | 0.533772i | \(-0.179226\pi\) | |||||||
\(740\) | −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 | \(-0.438846\pi\) |
0.515153 | + | 0.857098i | \(0.327735\pi\) | |||||||
\(744\) | 0.292051 | − | 0.393260i | 0.0107071 | − | 0.0144176i | ||||
\(745\) | 50.4173 | − | 6.18816i | 1.84715 | − | 0.226717i | ||||
\(746\) | 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 | ||||
\(750\) | 11.2746 | − | 15.7443i | 0.411691 | − | 0.574900i | ||||
\(751\) | −0.904984 | − | 0.159573i | −0.0330233 | − | 0.00582291i | 0.157112 | − | 0.987581i | \(-0.449782\pi\) |
−0.190135 | + | 0.981758i | \(0.560893\pi\) | |||||||
\(752\) | −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 | ||||
\(755\) | −19.2854 | − | 12.5253i | −0.701866 | − | 0.455842i | ||||
\(756\) | −7.72802 | − | 4.42538i | −0.281065 | − | 0.160950i | ||||
\(757\) | 22.7389 | + | 27.0992i | 0.826459 | + | 0.984936i | 1.00000 | 0.000109327i | \(3.48000e-5\pi\) | |
−0.173541 | + | 0.984827i | \(0.555521\pi\) | |||||||
\(758\) | −2.18508 | − | 12.3922i | −0.0793657 | − | 0.450105i | ||||
\(759\) | −0.0920696 | − | 0.386440i | −0.00334191 | − | 0.0140269i | ||||
\(760\) | −7.88116 | − | 5.73475i | −0.285880 | − | 0.208021i | ||||
\(761\) | − | 40.6741i | − | 1.47444i | −0.675655 | − | 0.737218i | \(-0.736139\pi\) | ||
0.675655 | − | 0.737218i | \(-0.263861\pi\) | |||||||
\(762\) | −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 | ||||
\(765\) | −1.11487 | + | 10.2613i | −0.0403080 | + | 0.370998i | ||||
\(766\) | −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 | −0.679669 | − | 0.733519i | \(-0.737877\pi\) |
0.889558 | − | 0.456822i | \(-0.151012\pi\) | |||||||
\(770\) | −0.402628 | + | 0.948412i | −0.0145097 | + | 0.0341784i | ||||
\(771\) | 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 | \(-0.954198\pi\) |
0.313070 | + | 0.949730i | \(0.398643\pi\) | |||||||
\(774\) | 17.5582 | − | 2.09427i | 0.631118 | − | 0.0752770i | ||||
\(775\) | 0.147936 | − | 1.40630i | 0.00531402 | − | 0.0505158i | ||||
\(776\) | −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 | ||||
\(780\) | 0.0998642 | + | 14.3636i | 0.00357571 | + | 0.514300i | ||||
\(781\) | 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 | ||||
\(785\) | 12.9795 | + | 17.2260i | 0.463257 | + | 0.614821i | ||||
\(786\) | −1.71215 | + | 5.74363i | −0.0610703 | + | 0.204868i | ||||
\(787\) | −17.4744 | − | 30.2665i | −0.622894 | − | 1.07888i | −0.988944 | − | 0.148289i | \(-0.952623\pi\) |
0.366050 | − | 0.930595i | \(-0.380710\pi\) | |||||||
\(788\) | −1.09595 | + | 6.21546i | −0.0390417 | + | 0.221416i | ||||
\(789\) | 1.29951 | + | 21.8673i | 0.0462638 | + | 0.778496i | ||||
\(790\) | 11.2658 | − | 3.44375i | 0.400820 | − | 0.122523i | ||||
\(791\) | 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 | ||||
\(795\) | 9.41386 | − | 8.01136i | 0.333875 | − | 0.284133i | ||||
\(796\) | −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 | ||||||||
\(800\) | 4.80618 | + | 1.37862i | 0.169924 | + | 0.0487416i | ||||
\(801\) | −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 | ||||
\(805\) | −2.22971 | + | 2.39086i | −0.0785870 | + | 0.0842667i | ||||
\(806\) | 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 | −0.468318 | − | 0.883560i | \(-0.655140\pi\) |
0.531026 | + | 0.847356i | \(0.321807\pi\) | |||||||
\(810\) | 3.70234 | + | 19.7811i | 0.130087 | + | 0.695038i | ||||
\(811\) | 11.1896 | − | 13.3353i | 0.392921 | − | 0.468265i | −0.532927 | − | 0.846161i | \(-0.678908\pi\) |
0.925848 | + | 0.377896i | \(0.123352\pi\) | |||||||
\(812\) | 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 | ||||
\(815\) | −2.53170 | + | 48.2661i | −0.0886817 | + | 1.69069i | ||||
\(816\) | −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 | ||||
\(820\) | −2.57084 | − | 5.04612i | −0.0897776 | − | 0.176218i | ||||
\(821\) | 7.02435 | + | 19.2992i | 0.245152 | + | 0.673548i | 0.999847 | + | 0.0174734i | \(0.00556225\pi\) |
−0.754696 | + | 0.656075i | \(0.772216\pi\) | |||||||
\(822\) | −4.01252 | + | 34.6841i | −0.139953 | + | 1.20975i | ||||
\(823\) | −22.1939 | + | 26.4497i | −0.773632 | + | 0.921978i | −0.998627 | − | 0.0523814i | \(-0.983319\pi\) |
0.224995 | + | 0.974360i | \(0.427763\pi\) | |||||||
\(824\) | 8.24127 | + | 4.75810i | 0.287098 | + | 0.165756i | ||||
\(825\) | 2.22188 | − | 0.696115i | 0.0773560 | − | 0.0242356i | ||||
\(826\) | 4.18742 | − | 23.7480i | 0.145699 | − | 0.826300i | ||||
\(827\) | 27.1327 | + | 4.78422i | 0.943495 | + | 0.166364i | 0.624176 | − | 0.781284i | \(-0.285435\pi\) |
0.319319 | + | 0.947647i | \(0.396546\pi\) | |||||||
\(828\) | 2.14152 | + | 1.40127i | 0.0744228 | + | 0.0486975i | ||||
\(829\) | −29.9117 | − | 17.2695i | −1.03888 | − | 0.599796i | −0.119362 | − | 0.992851i | \(-0.538085\pi\) |
−0.919515 | + | 0.393055i | \(0.871418\pi\) | |||||||
\(830\) | −20.0063 | − | 26.5518i | −0.694429 | − | 0.921625i | ||||
\(831\) | −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 | 0.00663147 | − | 0.999978i | \(-0.497889\pi\) |
0.985938 | + | 0.167114i | \(0.0534447\pi\) | |||||||
\(840\) | −2.31354 | − | 6.22146i | −0.0798246 | − | 0.214661i | ||||
\(841\) | 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 | ||||
\(845\) | −1.55383 | − | 0.659644i | −0.0534534 | − | 0.0226925i | ||||
\(846\) | 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 | ||||
\(850\) | −5.53460 | + | 5.34374i | −0.189835 | + | 0.183289i | ||||
\(851\) | −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 | \(-0.922471\pi\) |
−0.829475 | + | 0.558544i | \(0.811360\pi\) | |||||||
\(854\) | −2.02839 | −0.0694102 | ||||||||
\(855\) | 22.1481 | − | 19.0909i | 0.757448 | − | 0.652895i | ||||
\(856\) | 14.1999 | 0.485343 | ||||||||
\(857\) | −16.7281 | + | 2.94961i | −0.571420 | + | 0.100757i | −0.451890 | − | 0.892074i | \(-0.649250\pi\) |
−0.119530 | + | 0.992831i | \(0.538139\pi\) | |||||||
\(858\) | −1.02970 | + | 1.38655i | −0.0351535 | + | 0.0473359i | ||||
\(859\) | −2.01853 | + | 0.734683i | −0.0688712 | + | 0.0250671i | −0.376226 | − | 0.926528i | \(-0.622778\pi\) |
0.307355 | + | 0.951595i | \(0.400556\pi\) | |||||||
\(860\) | 11.0533 | + | 7.17879i | 0.376914 | + | 0.244795i | ||||
\(861\) | −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 | \(-0.741894\pi\) |
0.283329 | + | 0.959023i | \(0.408561\pi\) | |||||||
\(864\) | −4.49078 | + | 2.61399i | −0.152779 | + | 0.0889296i | ||||
\(865\) | 8.57866 | − | 20.2075i | 0.291683 | − | 0.687077i | ||||
\(866\) | −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 | ||||
\(870\) | −7.46202 | + | 2.77486i | −0.252986 | + | 0.0940764i | ||||
\(871\) | 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 | \(-0.634152\pi\) |
0.827597 | + | 0.561322i | \(0.189707\pi\) | |||||||
\(878\) | 32.6574 | − | 11.8863i | 1.10213 | − | 0.401143i | ||||
\(879\) | −4.44990 | + | 38.4649i | −0.150092 | + | 1.29739i | ||||
\(880\) | 0.361780 | + | 0.480143i | 0.0121956 | + | 0.0161856i | ||||
\(881\) | −11.9255 | − | 6.88519i | −0.401780 | − | 0.231968i | 0.285472 | − | 0.958387i | \(-0.407850\pi\) |
−0.687252 | + | 0.726419i | \(0.741183\pi\) | |||||||
\(882\) | 6.67348 | − | 10.1989i | 0.224708 | − | 0.343413i | ||||
\(883\) | 39.1996 | + | 6.91195i | 1.31917 | + | 0.232605i | 0.788533 | − | 0.614993i | \(-0.210841\pi\) |
0.530639 | + | 0.847598i | \(0.321952\pi\) | |||||||
\(884\) | 0.990932 | − | 5.61985i | 0.0333286 | − | 0.189016i | ||||
\(885\) | −47.0027 | + | 27.5745i | −1.57998 | + | 0.926908i | ||||
\(886\) | 5.30605 | + | 3.06345i | 0.178260 | + | 0.102919i | ||||
\(887\) | −31.9511 | + | 38.0778i | −1.07281 | + | 1.27853i | −0.114311 | + | 0.993445i | \(0.536466\pi\) |
−0.958503 | + | 0.285084i | \(0.907978\pi\) | |||||||
\(888\) | 1.86724 | − | 16.1403i | 0.0626603 | − | 0.541634i | ||||
\(889\) | 0.947492 | + | 2.60321i | 0.0317779 | + | 0.0873089i | ||||
\(890\) | −27.7234 | + | 14.1242i | −0.929289 | + | 0.473444i | ||||
\(891\) | −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 | ||||
\(895\) | −3.75133 | − | 0.196768i | −0.125393 | − | 0.00657724i | ||||
\(896\) | 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 | ||||
\(900\) | −7.31865 | + | 13.0934i | −0.243955 | + | 0.436447i | ||||
\(901\) | −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 | ||||
\(905\) | −23.2956 | + | 24.9792i | −0.774371 | + | 0.830336i | ||||
\(906\) | 15.9272 | + | 7.97545i | 0.529147 | + | 0.264966i | ||||
\(907\) | −12.5986 | − | 4.58552i | −0.418330 | − | 0.152260i | 0.124275 | − | 0.992248i | \(-0.460340\pi\) |
−0.542605 | + | 0.839988i | \(0.682562\pi\) | |||||||
\(908\) | −4.72011 | − | 12.9684i | −0.156642 | − | 0.430371i | ||||
\(909\) | −13.9605 | − | 5.98296i | −0.463042 | − | 0.198442i | ||||
\(910\) | 14.1935 | + | 0.744491i | 0.470510 | + | 0.0246796i | ||||
\(911\) | 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 | ||||
\(915\) | 2.97076 | + | 3.49083i | 0.0982101 | + | 0.115403i | ||||
\(916\) | −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 | −0.844984 | − | 0.534791i | \(-0.820390\pi\) |
0.885635 | + | 0.464382i | \(0.153724\pi\) | |||||||
\(920\) | 0.557627 | + | 1.82421i | 0.0183844 | + | 0.0601424i | ||||
\(921\) | 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 | ||||
\(925\) | −19.0737 | − | 42.8505i | −0.627138 | − | 1.40892i | ||||
\(926\) | 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 | −0.348059 | − | 0.937473i | \(-0.613159\pi\) |
−0.00643416 | + | 0.999979i | \(0.502048\pi\) | |||||||
\(930\) | 0.00761515 | + | 1.09530i | 0.000249711 | + | 0.0359163i | ||||
\(931\) | −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 | ||||
\(935\) | −0.918132 | + | 0.112690i | −0.0300261 | + | 0.00368537i | ||||
\(936\) | −1.31775 | − | 11.0480i | −0.0430722 | − | 0.361114i | ||||
\(937\) | −8.57663 | + | 10.2212i | −0.280186 | + | 0.333913i | −0.887722 | − | 0.460379i | \(-0.847714\pi\) |
0.607536 | + | 0.794292i | \(0.292158\pi\) | |||||||
\(938\) | −1.94324 | + | 3.36579i | −0.0634491 | + | 0.109897i | ||||
\(939\) | 24.9636 | − | 23.6077i | 0.814657 | − | 0.770408i | ||||
\(940\) | 16.9347 | + | 7.18924i | 0.552348 | + | 0.234487i | ||||
\(941\) | −8.26369 | + | 46.8657i | −0.269388 | + | 1.52778i | 0.486852 | + | 0.873484i | \(0.338145\pi\) |
−0.756241 | + | 0.654294i | \(0.772966\pi\) | |||||||
\(942\) | −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 | ||||
\(945\) | 19.7561 | − | 2.49584i | 0.642665 | − | 0.0811898i | ||||
\(946\) | 0.542003 | + | 1.48914i | 0.0176220 | + | 0.0484161i | ||||
\(947\) | 25.8684 | − | 21.7061i | 0.840609 | − | 0.705354i | −0.117092 | − | 0.993121i | \(-0.537357\pi\) |
0.957701 | + | 0.287767i | \(0.0929128\pi\) | |||||||
\(948\) | −8.37451 | + | 3.62413i | −0.271991 | + | 0.117706i | ||||
\(949\) | 26.9975i | 0.876375i | ||||||||
\(950\) | 21.7915 | − | 0.363554i | 0.707008 | − | 0.0117953i | ||||
\(951\) | −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 | \(-0.395023\pi\) |
−0.987971 | + | 0.154640i | \(0.950578\pi\) | |||||||
\(954\) | −6.55435 | + | 6.98012i | −0.212205 | + | 0.225990i | ||||
\(955\) | 8.86426 | + | 5.75709i | 0.286841 | + | 0.186295i | ||||
\(956\) | −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 | ||||
\(960\) | −3.81873 | − | 0.646003i | −0.123249 | − | 0.0208496i | ||||
\(961\) | −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 | ||||
\(965\) | −2.51498 | − | 20.4905i | −0.0809600 | − | 0.659612i | ||||
\(966\) | 1.50980 | − | 2.03302i | 0.0485772 | − | 0.0654114i | ||||
\(967\) | −16.5601 | + | 2.91999i | −0.532537 | + | 0.0939006i | −0.433449 | − | 0.901178i | \(-0.642704\pi\) |
−0.0990878 | + | 0.995079i | \(0.531592\pi\) | |||||||
\(968\) | − | 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 | −0.534239 | − | 0.845333i | \(-0.679402\pi\) |
0.212900 | − | 0.977074i | \(-0.431709\pi\) | |||||||
\(972\) | −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 | ||||
\(975\) | −19.5063 | − | 25.5171i | −0.624702 | − | 0.817201i | ||||
\(976\) | −0.591767 | + | 1.02497i | −0.0189420 | + | 0.0328085i | ||||
\(977\) | −18.5256 | + | 10.6957i | −0.592685 | + | 0.342187i | −0.766158 | − | 0.642652i | \(-0.777834\pi\) |
0.173474 | + | 0.984839i | \(0.444501\pi\) | |||||||
\(978\) | −2.22093 | − | 37.3723i | −0.0710175 | − | 1.19503i | ||||
\(979\) | −3.68421 | − | 0.649625i | −0.117748 | − | 0.0207621i | ||||
\(980\) | 8.68771 | − | 2.65567i | 0.277519 | − | 0.0848323i | ||||
\(981\) | 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 | \(-0.986697\pi\) |
0.792232 | + | 0.610220i | \(0.208919\pi\) | |||||||
\(984\) | 2.41488 | + | 3.66222i | 0.0769835 | + | 0.116747i | ||||
\(985\) | −6.40641 | − | 12.5747i | −0.204125 | − | 0.400663i | ||||
\(986\) | 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 | ||||||||
\(990\) | −1.65019 | + | 0.727794i | −0.0524464 | + | 0.0231308i | ||||
\(991\) | −22.7938 | − | 27.1646i | −0.724070 | − | 0.862913i | 0.270950 | − | 0.962593i | \(-0.412662\pi\) |
−0.995019 | + | 0.0996809i | \(0.968218\pi\) | |||||||
\(992\) | −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 | ||||
\(995\) | 39.5296 | + | 36.8653i | 1.25317 | + | 1.16871i | ||||
\(996\) | 17.6940 | + | 18.7102i | 0.560654 | + | 0.592856i | ||||
\(997\) | 17.0051 | + | 2.99846i | 0.538557 | + | 0.0949622i | 0.436309 | − | 0.899797i | \(-0.356285\pi\) |
0.102248 | + | 0.994759i | \(0.467396\pi\) | |||||||
\(998\) | 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.29.7 | ✓ | 240 | |
3.2 | odd | 2 | inner | 570.2.bf.a.29.23 | yes | 240 | |
5.4 | even | 2 | inner | 570.2.bf.a.29.34 | yes | 240 | |
15.14 | odd | 2 | inner | 570.2.bf.a.29.18 | yes | 240 | |
19.2 | odd | 18 | inner | 570.2.bf.a.59.18 | yes | 240 | |
57.2 | even | 18 | inner | 570.2.bf.a.59.34 | yes | 240 | |
95.59 | odd | 18 | inner | 570.2.bf.a.59.23 | yes | 240 | |
285.59 | even | 18 | inner | 570.2.bf.a.59.7 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bf.a.29.7 | ✓ | 240 | 1.1 | even | 1 | trivial | |
570.2.bf.a.29.18 | yes | 240 | 15.14 | odd | 2 | inner | |
570.2.bf.a.29.23 | yes | 240 | 3.2 | odd | 2 | inner | |
570.2.bf.a.29.34 | yes | 240 | 5.4 | even | 2 | inner | |
570.2.bf.a.59.7 | yes | 240 | 285.59 | even | 18 | inner | |
570.2.bf.a.59.18 | yes | 240 | 19.2 | odd | 18 | inner | |
570.2.bf.a.59.23 | yes | 240 | 95.59 | odd | 18 | inner | |
570.2.bf.a.59.34 | yes | 240 | 57.2 | even | 18 | inner |