Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(55,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.x (of order \(14\), 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: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 139.11 | ||
Character | \(\chi\) | \(=\) | 588.139 |
Dual form | 588.2.x.a.55.11 |
$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.537130 | + | 1.30824i | −0.379808 | + | 0.925065i | ||||
\(3\) | −0.900969 | + | 0.433884i | −0.520175 | + | 0.250503i | ||||
\(4\) | −1.42298 | − | 1.40539i | −0.711492 | − | 0.702695i | ||||
\(5\) | −1.35460 | − | 2.81286i | −0.605797 | − | 1.25795i | −0.947984 | − | 0.318319i | \(-0.896882\pi\) |
0.342186 | − | 0.939632i | \(-0.388833\pi\) | |||||||
\(6\) | −0.0836867 | − | 1.41174i | −0.0341650 | − | 0.576339i | ||||
\(7\) | 2.57260 | + | 0.617858i | 0.972350 | + | 0.233529i | ||||
\(8\) | 2.60291 | − | 1.10673i | 0.920269 | − | 0.391287i | ||||
\(9\) | 0.623490 | − | 0.781831i | 0.207830 | − | 0.260610i | ||||
\(10\) | 4.40750 | − | 0.261274i | 1.39377 | − | 0.0826220i | ||||
\(11\) | −1.76527 | + | 1.40775i | −0.532248 | + | 0.424454i | −0.852383 | − | 0.522918i | \(-0.824843\pi\) |
0.320135 | + | 0.947372i | \(0.396272\pi\) | |||||||
\(12\) | 1.89184 | + | 0.648803i | 0.546127 | + | 0.187293i | ||||
\(13\) | −3.29095 | + | 2.62444i | −0.912745 | + | 0.727890i | −0.962617 | − | 0.270866i | \(-0.912690\pi\) |
0.0498721 | + | 0.998756i | \(0.484119\pi\) | |||||||
\(14\) | −2.19013 | + | 3.03370i | −0.585336 | + | 0.810791i | ||||
\(15\) | 2.44091 | + | 1.94656i | 0.630241 | + | 0.502600i | ||||
\(16\) | 0.0497615 | + | 3.99969i | 0.0124404 | + | 0.999923i | ||||
\(17\) | −0.732085 | + | 0.167094i | −0.177557 | + | 0.0405262i | −0.310375 | − | 0.950614i | \(-0.600455\pi\) |
0.132818 | + | 0.991140i | \(0.457597\pi\) | |||||||
\(18\) | 0.687928 | + | 1.23562i | 0.162146 | + | 0.291238i | ||||
\(19\) | −2.18601 | −0.501505 | −0.250753 | − | 0.968051i | \(-0.580678\pi\) | ||||
−0.250753 | + | 0.968051i | \(0.580678\pi\) | |||||||
\(20\) | −2.02559 | + | 5.90641i | −0.452936 | + | 1.32071i | ||||
\(21\) | −2.58591 | + | 0.559536i | −0.564291 | + | 0.122101i | ||||
\(22\) | −0.893502 | − | 3.06554i | −0.190495 | − | 0.653575i | ||||
\(23\) | −6.10010 | − | 1.39231i | −1.27196 | − | 0.290316i | −0.467324 | − | 0.884086i | \(-0.654782\pi\) |
−0.804635 | + | 0.593770i | \(0.797639\pi\) | |||||||
\(24\) | −1.86495 | + | 2.12649i | −0.380682 | + | 0.434068i | ||||
\(25\) | −2.95981 | + | 3.71148i | −0.591961 | + | 0.742296i | ||||
\(26\) | −1.66574 | − | 5.71502i | −0.326678 | − | 1.12081i | ||||
\(27\) | −0.222521 | + | 0.974928i | −0.0428242 | + | 0.187625i | ||||
\(28\) | −2.79243 | − | 4.49470i | −0.527719 | − | 0.849419i | ||||
\(29\) | 0.287151 | + | 1.25809i | 0.0533225 | + | 0.233621i | 0.994566 | − | 0.104107i | \(-0.0331985\pi\) |
−0.941244 | + | 0.337729i | \(0.890341\pi\) | |||||||
\(30\) | −3.85766 | + | 2.14774i | −0.704309 | + | 0.392122i | ||||
\(31\) | 0.402929 | 0.0723682 | 0.0361841 | − | 0.999345i | \(-0.488480\pi\) | ||||
0.0361841 | + | 0.999345i | \(0.488480\pi\) | |||||||
\(32\) | −5.25928 | − | 2.08325i | −0.929719 | − | 0.368271i | ||||
\(33\) | 0.979650 | − | 2.03426i | 0.170535 | − | 0.354120i | ||||
\(34\) | 0.174626 | − | 1.04749i | 0.0299481 | − | 0.179644i | ||||
\(35\) | −1.74690 | − | 8.07332i | −0.295280 | − | 1.36464i | ||||
\(36\) | −1.98599 | + | 0.236287i | −0.330999 | + | 0.0393812i | ||||
\(37\) | 0.433292 | + | 1.89838i | 0.0712328 | + | 0.312091i | 0.997975 | − | 0.0636065i | \(-0.0202603\pi\) |
−0.926742 | + | 0.375698i | \(0.877403\pi\) | |||||||
\(38\) | 1.17417 | − | 2.85983i | 0.190476 | − | 0.463925i | ||||
\(39\) | 1.82634 | − | 3.79243i | 0.292448 | − | 0.607275i | ||||
\(40\) | −6.63899 | − | 5.82247i | −1.04972 | − | 0.920613i | ||||
\(41\) | −0.368199 | − | 0.764573i | −0.0575030 | − | 0.119406i | 0.870237 | − | 0.492633i | \(-0.163966\pi\) |
−0.927740 | + | 0.373227i | \(0.878251\pi\) | |||||||
\(42\) | 0.656960 | − | 3.68353i | 0.101371 | − | 0.568381i | ||||
\(43\) | −5.46538 | + | 11.3490i | −0.833462 | + | 1.73070i | −0.165907 | + | 0.986141i | \(0.553055\pi\) |
−0.667555 | + | 0.744561i | \(0.732659\pi\) | |||||||
\(44\) | 4.49039 | + | 0.477678i | 0.676952 | + | 0.0720127i | ||||
\(45\) | −3.04377 | − | 0.694720i | −0.453738 | − | 0.103563i | ||||
\(46\) | 5.09802 | − | 7.23254i | 0.751662 | − | 1.06638i | ||||
\(47\) | −7.96580 | − | 9.98879i | −1.16193 | − | 1.45702i | −0.864756 | − | 0.502192i | \(-0.832527\pi\) |
−0.297175 | − | 0.954823i | \(-0.596044\pi\) | |||||||
\(48\) | −1.78023 | − | 3.58201i | −0.256955 | − | 0.517018i | ||||
\(49\) | 6.23650 | + | 3.17900i | 0.890929 | + | 0.454143i | ||||
\(50\) | −3.26571 | − | 5.86568i | −0.461841 | − | 0.829533i | ||||
\(51\) | 0.587087 | − | 0.468186i | 0.0822086 | − | 0.0655592i | ||||
\(52\) | 8.37133 | + | 0.890525i | 1.16089 | + | 0.123494i | ||||
\(53\) | −1.85688 | + | 8.13550i | −0.255061 | + | 1.11750i | 0.671396 | + | 0.741098i | \(0.265695\pi\) |
−0.926458 | + | 0.376399i | \(0.877162\pi\) | |||||||
\(54\) | −1.15592 | − | 0.814774i | −0.157300 | − | 0.110877i | ||||
\(55\) | 6.35106 | + | 3.05851i | 0.856377 | + | 0.412409i | ||||
\(56\) | 7.38004 | − | 1.23893i | 0.986200 | − | 0.165559i | ||||
\(57\) | 1.96953 | − | 0.948475i | 0.260870 | − | 0.125629i | ||||
\(58\) | −1.80012 | − | 0.300095i | −0.236367 | − | 0.0394044i | ||||
\(59\) | −8.17303 | − | 3.93592i | −1.06404 | − | 0.512414i | −0.181858 | − | 0.983325i | \(-0.558211\pi\) |
−0.882181 | + | 0.470911i | \(0.843925\pi\) | |||||||
\(60\) | −0.737699 | − | 6.20036i | −0.0952365 | − | 0.800463i | ||||
\(61\) | −9.90217 | + | 2.26011i | −1.26784 | + | 0.289377i | −0.802980 | − | 0.596006i | \(-0.796754\pi\) |
−0.464863 | + | 0.885383i | \(0.653896\pi\) | |||||||
\(62\) | −0.216425 | + | 0.527128i | −0.0274860 | + | 0.0669453i | ||||
\(63\) | 2.08705 | − | 1.62611i | 0.262943 | − | 0.204870i | ||||
\(64\) | 5.55031 | − | 5.76143i | 0.693789 | − | 0.720178i | ||||
\(65\) | 11.8401 | + | 5.70191i | 1.46859 | + | 0.707235i | ||||
\(66\) | 2.13511 | + | 2.37428i | 0.262813 | + | 0.292254i | ||||
\(67\) | 1.76525i | 0.215659i | 0.994169 | + | 0.107830i | \(0.0343901\pi\) | ||||
−0.994169 | + | 0.107830i | \(0.965610\pi\) | |||||||
\(68\) | 1.27658 | + | 0.791093i | 0.154808 | + | 0.0959342i | ||||
\(69\) | 6.10010 | − | 1.39231i | 0.734366 | − | 0.167614i | ||||
\(70\) | 11.5001 | + | 2.05106i | 1.37453 | + | 0.245149i | ||||
\(71\) | 9.16755 | + | 2.09243i | 1.08799 | + | 0.248326i | 0.728653 | − | 0.684883i | \(-0.240146\pi\) |
0.359335 | + | 0.933209i | \(0.383004\pi\) | |||||||
\(72\) | 0.757616 | − | 2.72507i | 0.0892859 | − | 0.321153i | ||||
\(73\) | 5.14288 | + | 4.10131i | 0.601928 | + | 0.480022i | 0.876407 | − | 0.481572i | \(-0.159934\pi\) |
−0.274479 | + | 0.961593i | \(0.588505\pi\) | |||||||
\(74\) | −2.71627 | − | 0.452825i | −0.315760 | − | 0.0526398i | ||||
\(75\) | 1.05634 | − | 4.62814i | 0.121976 | − | 0.534412i | ||||
\(76\) | 3.11066 | + | 3.07220i | 0.356817 | + | 0.352405i | ||||
\(77\) | −5.41111 | + | 2.53090i | −0.616654 | + | 0.288423i | ||||
\(78\) | 3.98043 | + | 4.42632i | 0.450695 | + | 0.501182i | ||||
\(79\) | − | 5.36375i | − | 0.603469i | −0.953392 | − | 0.301735i | \(-0.902434\pi\) | ||
0.953392 | − | 0.301735i | \(-0.0975657\pi\) | |||||||
\(80\) | 11.1832 | − | 5.55797i | 1.25032 | − | 0.621400i | ||||
\(81\) | −0.222521 | − | 0.974928i | −0.0247245 | − | 0.108325i | ||||
\(82\) | 1.19802 | − | 0.0710176i | 0.132299 | − | 0.00784258i | ||||
\(83\) | −4.49133 | + | 5.63195i | −0.492987 | + | 0.618187i | −0.964631 | − | 0.263602i | \(-0.915089\pi\) |
0.471644 | + | 0.881789i | \(0.343661\pi\) | |||||||
\(84\) | 4.46607 | + | 2.83800i | 0.487288 | + | 0.309651i | ||||
\(85\) | 1.46170 | + | 1.83291i | 0.158543 | + | 0.198807i | ||||
\(86\) | −11.9116 | − | 13.2459i | −1.28446 | − | 1.42834i | ||||
\(87\) | −0.804578 | − | 1.00891i | −0.0862598 | − | 0.108166i | ||||
\(88\) | −3.03684 | + | 5.61793i | −0.323728 | + | 0.598873i | ||||
\(89\) | −12.4429 | − | 9.92291i | −1.31895 | − | 1.05183i | −0.994369 | − | 0.105968i | \(-0.966206\pi\) |
−0.324580 | − | 0.945858i | \(-0.605223\pi\) | |||||||
\(90\) | 2.54376 | − | 3.60882i | 0.268136 | − | 0.380403i | ||||
\(91\) | −10.0878 | + | 4.71829i | −1.05749 | + | 0.494612i | ||||
\(92\) | 6.72360 | + | 10.5542i | 0.700984 | + | 1.10036i | ||||
\(93\) | −0.363026 | + | 0.174824i | −0.0376441 | + | 0.0181284i | ||||
\(94\) | 17.3464 | − | 5.05589i | 1.78914 | − | 0.521476i | ||||
\(95\) | 2.96118 | + | 6.14895i | 0.303811 | + | 0.630869i | ||||
\(96\) | 5.64234 | − | 0.404971i | 0.575869 | − | 0.0413322i | ||||
\(97\) | 0.150995i | 0.0153312i | 0.999971 | + | 0.00766559i | \(0.00244006\pi\) | ||||
−0.999971 | + | 0.00766559i | \(0.997560\pi\) | |||||||
\(98\) | −7.50871 | + | 6.45130i | −0.758494 | + | 0.651680i | ||||
\(99\) | 2.25786i | 0.226924i | ||||||||
\(100\) | 9.42783 | − | 1.12169i | 0.942783 | − | 0.112169i | ||||
\(101\) | −1.32602 | − | 2.75352i | −0.131944 | − | 0.273985i | 0.824521 | − | 0.565832i | \(-0.191445\pi\) |
−0.956465 | + | 0.291846i | \(0.905730\pi\) | |||||||
\(102\) | 0.297158 | + | 1.01953i | 0.0294230 | + | 0.100948i | ||||
\(103\) | 3.22255 | − | 1.55190i | 0.317527 | − | 0.152913i | −0.268331 | − | 0.963327i | \(-0.586472\pi\) |
0.585858 | + | 0.810414i | \(0.300758\pi\) | |||||||
\(104\) | −5.66151 | + | 10.4734i | −0.555157 | + | 1.02700i | ||||
\(105\) | 5.07678 | + | 6.51586i | 0.495443 | + | 0.635883i | ||||
\(106\) | −9.64580 | − | 6.79906i | −0.936883 | − | 0.660383i | ||||
\(107\) | −9.16516 | − | 7.30897i | −0.886029 | − | 0.706585i | 0.0707209 | − | 0.997496i | \(-0.477470\pi\) |
−0.956750 | + | 0.290912i | \(0.906041\pi\) | |||||||
\(108\) | 1.68680 | − | 1.07458i | 0.162312 | − | 0.103401i | ||||
\(109\) | −12.1163 | − | 15.1933i | −1.16053 | − | 1.45526i | −0.866302 | − | 0.499521i | \(-0.833509\pi\) |
−0.294227 | − | 0.955736i | \(-0.595062\pi\) | |||||||
\(110\) | −7.41261 | + | 6.66590i | −0.706765 | + | 0.635568i | ||||
\(111\) | −1.21406 | − | 1.52238i | −0.115233 | − | 0.144498i | ||||
\(112\) | −2.34323 | + | 10.3203i | −0.221414 | + | 0.975180i | ||||
\(113\) | −12.1396 | + | 15.2226i | −1.14200 | + | 1.43202i | −0.257011 | + | 0.966408i | \(0.582738\pi\) |
−0.884988 | + | 0.465614i | \(0.845834\pi\) | |||||||
\(114\) | 0.182940 | + | 3.08607i | 0.0171339 | + | 0.289037i | ||||
\(115\) | 4.34685 | + | 19.0448i | 0.405346 | + | 1.77594i | ||||
\(116\) | 1.35949 | − | 2.19380i | 0.126226 | − | 0.203689i | ||||
\(117\) | 4.20928i | 0.389148i | ||||||||
\(118\) | 9.53911 | − | 8.57818i | 0.878147 | − | 0.789686i | ||||
\(119\) | −1.98660 | − | 0.0224605i | −0.182111 | − | 0.00205895i | ||||
\(120\) | 8.50780 | + | 2.36531i | 0.776652 | + | 0.215922i | ||||
\(121\) | −1.31333 | + | 5.75408i | −0.119394 | + | 0.523098i | ||||
\(122\) | 2.36199 | − | 14.1684i | 0.213845 | − | 1.28275i | ||||
\(123\) | 0.663471 | + | 0.529101i | 0.0598232 | + | 0.0477074i | ||||
\(124\) | −0.573361 | − | 0.566272i | −0.0514894 | − | 0.0508527i | ||||
\(125\) | −0.769582 | − | 0.175652i | −0.0688335 | − | 0.0157108i | ||||
\(126\) | 1.00632 | + | 3.60379i | 0.0896504 | + | 0.321051i | ||||
\(127\) | 9.73846 | − | 2.22274i | 0.864148 | − | 0.197236i | 0.232600 | − | 0.972573i | \(-0.425277\pi\) |
0.631549 | + | 0.775336i | \(0.282420\pi\) | |||||||
\(128\) | 4.55609 | + | 10.3558i | 0.402705 | + | 0.915330i | ||||
\(129\) | − | 12.5964i | − | 1.10905i | ||||||
\(130\) | −13.8192 | + | 12.4271i | −1.21202 | + | 1.08993i | ||||
\(131\) | 15.7276 | + | 7.57402i | 1.37413 | + | 0.661745i | 0.967739 | − | 0.251955i | \(-0.0810734\pi\) |
0.406389 | + | 0.913700i | \(0.366788\pi\) | |||||||
\(132\) | −4.25296 | + | 1.51793i | −0.370172 | + | 0.132119i | ||||
\(133\) | −5.62372 | − | 1.35065i | −0.487639 | − | 0.117116i | ||||
\(134\) | −2.30937 | − | 0.948166i | −0.199499 | − | 0.0819091i | ||||
\(135\) | 3.04377 | − | 0.694720i | 0.261966 | − | 0.0597920i | ||||
\(136\) | −1.72063 | + | 1.24515i | −0.147543 | + | 0.106771i | ||||
\(137\) | 18.3012 | + | 8.81338i | 1.56357 | + | 0.752977i | 0.997452 | − | 0.0713439i | \(-0.0227288\pi\) |
0.566122 | + | 0.824321i | \(0.308443\pi\) | |||||||
\(138\) | −1.45507 | + | 8.72824i | −0.123864 | + | 0.742997i | ||||
\(139\) | 8.96026 | − | 4.31503i | 0.759999 | − | 0.365996i | −0.0134043 | − | 0.999910i | \(-0.504267\pi\) |
0.773404 | + | 0.633914i | \(0.218553\pi\) | |||||||
\(140\) | −8.86035 | + | 13.9433i | −0.748836 | + | 1.17842i | ||||
\(141\) | 11.5109 | + | 5.54336i | 0.969393 | + | 0.466835i | ||||
\(142\) | −7.66157 | + | 10.8694i | −0.642945 | + | 0.912144i | ||||
\(143\) | 2.11483 | − | 9.26569i | 0.176851 | − | 0.774836i | ||||
\(144\) | 3.15811 | + | 2.45486i | 0.263176 | + | 0.204572i | ||||
\(145\) | 3.14986 | − | 2.51193i | 0.261582 | − | 0.208604i | ||||
\(146\) | −8.12788 | + | 4.52518i | −0.672668 | + | 0.374507i | ||||
\(147\) | −6.99821 | − | 0.158264i | −0.577203 | − | 0.0130534i | ||||
\(148\) | 2.05139 | − | 3.31030i | 0.168623 | − | 0.272105i | ||||
\(149\) | 10.4176 | + | 13.0633i | 0.853443 | + | 1.07018i | 0.996754 | + | 0.0805058i | \(0.0256535\pi\) |
−0.143311 | + | 0.989678i | \(0.545775\pi\) | |||||||
\(150\) | 5.48732 | + | 3.86786i | 0.448038 | + | 0.315810i | ||||
\(151\) | −2.98349 | − | 0.680962i | −0.242793 | − | 0.0554159i | 0.0993926 | − | 0.995048i | \(-0.468310\pi\) |
−0.342186 | + | 0.939632i | \(0.611167\pi\) | |||||||
\(152\) | −5.69000 | + | 2.41932i | −0.461520 | + | 0.196232i | ||||
\(153\) | −0.325809 | + | 0.676548i | −0.0263401 | + | 0.0546957i | ||||
\(154\) | −0.404550 | − | 8.43846i | −0.0325995 | − | 0.679990i | ||||
\(155\) | −0.545809 | − | 1.13338i | −0.0438405 | − | 0.0910357i | ||||
\(156\) | −7.92869 | + | 2.82985i | −0.634803 | + | 0.226569i | ||||
\(157\) | 7.66058 | − | 15.9073i | 0.611381 | − | 1.26954i | −0.333691 | − | 0.942682i | \(-0.608294\pi\) |
0.945072 | − | 0.326862i | \(-0.105991\pi\) | |||||||
\(158\) | 7.01707 | + | 2.88103i | 0.558248 | + | 0.229203i | ||||
\(159\) | −1.85688 | − | 8.13550i | −0.147260 | − | 0.645187i | ||||
\(160\) | 1.26434 | + | 17.6156i | 0.0999547 | + | 1.39264i | ||||
\(161\) | −14.8328 | − | 7.35084i | −1.16899 | − | 0.579328i | ||||
\(162\) | 1.39496 | + | 0.232552i | 0.109599 | + | 0.0182710i | ||||
\(163\) | 6.84045 | − | 14.2043i | 0.535785 | − | 1.11257i | −0.440833 | − | 0.897589i | \(-0.645317\pi\) |
0.976618 | − | 0.214980i | \(-0.0689687\pi\) | |||||||
\(164\) | −0.550582 | + | 1.60544i | −0.0429932 | + | 0.125364i | ||||
\(165\) | −7.04915 | −0.548775 | ||||||||
\(166\) | −4.95551 | − | 8.90082i | −0.384622 | − | 0.690838i | ||||
\(167\) | 0.0438096 | + | 0.191942i | 0.00339009 | + | 0.0148530i | 0.976595 | − | 0.215088i | \(-0.0690038\pi\) |
−0.973205 | + | 0.229941i | \(0.926147\pi\) | |||||||
\(168\) | −6.11164 | + | 4.31832i | −0.471523 | + | 0.333165i | ||||
\(169\) | 1.04987 | − | 4.59976i | 0.0807589 | − | 0.353828i | ||||
\(170\) | −3.18301 | + | 0.927740i | −0.244126 | + | 0.0711544i | ||||
\(171\) | −1.36296 | + | 1.70909i | −0.104228 | + | 0.130698i | ||||
\(172\) | 23.7269 | − | 8.46841i | 1.80916 | − | 0.645710i | ||||
\(173\) | 23.6429 | + | 5.39634i | 1.79754 | + | 0.410276i | 0.984989 | − | 0.172616i | \(-0.0552220\pi\) |
0.812549 | + | 0.582893i | \(0.198079\pi\) | |||||||
\(174\) | 1.75206 | − | 0.510666i | 0.132823 | − | 0.0387135i | ||||
\(175\) | −9.90756 | + | 7.71940i | −0.748941 | + | 0.583532i | ||||
\(176\) | −5.71842 | − | 6.99047i | −0.431042 | − | 0.526927i | ||||
\(177\) | 9.07138 | 0.681847 | ||||||||
\(178\) | 19.6650 | − | 10.9485i | 1.47396 | − | 0.820622i | ||||
\(179\) | 9.00212 | − | 2.05468i | 0.672850 | − | 0.153574i | 0.127573 | − | 0.991829i | \(-0.459281\pi\) |
0.545278 | + | 0.838256i | \(0.316424\pi\) | |||||||
\(180\) | 3.35488 | + | 5.26625i | 0.250058 | + | 0.392523i | ||||
\(181\) | −3.24137 | − | 2.58490i | −0.240929 | − | 0.192134i | 0.495580 | − | 0.868562i | \(-0.334956\pi\) |
−0.736509 | + | 0.676428i | \(0.763527\pi\) | |||||||
\(182\) | −0.754193 | − | 15.7316i | −0.0559045 | − | 1.16611i | ||||
\(183\) | 7.94093 | − | 6.33268i | 0.587010 | − | 0.468125i | ||||
\(184\) | −17.4189 | + | 3.12709i | −1.28414 | + | 0.230532i | ||||
\(185\) | 4.75294 | − | 3.79034i | 0.349443 | − | 0.278671i | ||||
\(186\) | −0.0337198 | − | 0.568829i | −0.00247246 | − | 0.0417086i | ||||
\(187\) | 1.05710 | − | 1.32556i | 0.0773028 | − | 0.0969346i | ||||
\(188\) | −2.70295 | + | 25.4089i | −0.197133 | + | 1.85314i | ||||
\(189\) | −1.17482 | + | 2.37061i | −0.0854559 | + | 0.172436i | ||||
\(190\) | −9.63484 | + | 0.571147i | −0.698985 | + | 0.0414354i | ||||
\(191\) | −3.74677 | − | 7.78026i | −0.271107 | − | 0.562960i | 0.720317 | − | 0.693645i | \(-0.243996\pi\) |
−0.991424 | + | 0.130686i | \(0.958282\pi\) | |||||||
\(192\) | −2.50087 | + | 7.59906i | −0.180485 | + | 0.548415i | ||||
\(193\) | −7.82112 | + | 3.76645i | −0.562977 | + | 0.271115i | −0.693652 | − | 0.720310i | \(-0.744000\pi\) |
0.130676 | + | 0.991425i | \(0.458285\pi\) | |||||||
\(194\) | −0.197537 | − | 0.0811037i | −0.0141823 | − | 0.00582290i | ||||
\(195\) | −13.1416 | −0.941087 | ||||||||
\(196\) | −4.40670 | − | 13.2884i | −0.314764 | − | 0.949170i | ||||
\(197\) | 8.77346 | 0.625083 | 0.312542 | − | 0.949904i | \(-0.398820\pi\) | ||||
0.312542 | + | 0.949904i | \(0.398820\pi\) | |||||||
\(198\) | −2.95383 | − | 1.21277i | −0.209919 | − | 0.0861875i | ||||
\(199\) | 3.67429 | − | 1.76944i | 0.260463 | − | 0.125433i | −0.299095 | − | 0.954223i | \(-0.596685\pi\) |
0.559559 | + | 0.828791i | \(0.310971\pi\) | |||||||
\(200\) | −3.59653 | + | 12.9364i | −0.254313 | + | 0.914739i | ||||
\(201\) | −0.765912 | − | 1.59043i | −0.0540232 | − | 0.112180i | ||||
\(202\) | 4.31451 | − | 0.255761i | 0.303568 | − | 0.0179953i | ||||
\(203\) | −0.0385984 | + | 3.41397i | −0.00270908 | + | 0.239614i | ||||
\(204\) | −1.49340 | − | 0.158865i | −0.104559 | − | 0.0111227i | ||||
\(205\) | −1.65188 | + | 2.07139i | −0.115372 | + | 0.144672i | ||||
\(206\) | 0.299327 | + | 5.04944i | 0.0208551 | + | 0.351811i | ||||
\(207\) | −4.89190 | + | 3.90116i | −0.340011 | + | 0.271149i | ||||
\(208\) | −10.6607 | − | 13.0322i | −0.739188 | − | 0.903619i | ||||
\(209\) | 3.85890 | − | 3.07737i | 0.266925 | − | 0.212866i | ||||
\(210\) | −11.2512 | + | 3.14179i | −0.776406 | + | 0.216804i | ||||
\(211\) | 11.1768 | + | 8.91320i | 0.769442 | + | 0.613610i | 0.927501 | − | 0.373820i | \(-0.121952\pi\) |
−0.158059 | + | 0.987430i | \(0.550524\pi\) | |||||||
\(212\) | 14.0758 | − | 8.96705i | 0.966733 | − | 0.615859i | ||||
\(213\) | −9.16755 | + | 2.09243i | −0.628150 | + | 0.143371i | ||||
\(214\) | 14.4848 | − | 8.06436i | 0.990158 | − | 0.551268i | ||||
\(215\) | 39.3265 | 2.68205 | ||||||||
\(216\) | 0.499776 | + | 2.78392i | 0.0340054 | + | 0.189422i | ||||
\(217\) | 1.03657 | + | 0.248953i | 0.0703672 | + | 0.0169000i | ||||
\(218\) | 26.3845 | − | 7.69020i | 1.78699 | − | 0.520846i | ||||
\(219\) | −6.41306 | − | 1.46374i | −0.433354 | − | 0.0989103i | ||||
\(220\) | −4.73906 | − | 13.2779i | −0.319507 | − | 0.895197i | ||||
\(221\) | 1.97073 | − | 2.47121i | 0.132565 | − | 0.166232i | ||||
\(222\) | 2.64374 | − | 0.770563i | 0.177437 | − | 0.0517168i | ||||
\(223\) | −3.37774 | + | 14.7988i | −0.226190 | + | 0.991004i | 0.726525 | + | 0.687140i | \(0.241134\pi\) |
−0.952715 | + | 0.303864i | \(0.901723\pi\) | |||||||
\(224\) | −12.2429 | − | 8.60886i | −0.818010 | − | 0.575204i | ||||
\(225\) | 1.05634 | + | 4.62814i | 0.0704229 | + | 0.308543i | ||||
\(226\) | −13.3943 | − | 24.0580i | −0.890973 | − | 1.60032i | ||||
\(227\) | −6.77591 | −0.449733 | −0.224866 | − | 0.974390i | \(-0.572195\pi\) | ||||
−0.224866 | + | 0.974390i | \(0.572195\pi\) | |||||||
\(228\) | −4.13558 | − | 1.41829i | −0.273886 | − | 0.0939286i | ||||
\(229\) | 1.69166 | − | 3.51276i | 0.111788 | − | 0.232130i | −0.837568 | − | 0.546333i | \(-0.816023\pi\) |
0.949356 | + | 0.314204i | \(0.101737\pi\) | |||||||
\(230\) | −27.2500 | − | 4.54280i | −1.79681 | − | 0.299543i | ||||
\(231\) | 3.77713 | − | 4.62805i | 0.248517 | − | 0.304504i | ||||
\(232\) | 2.13979 | + | 2.95690i | 0.140484 | + | 0.194130i | ||||
\(233\) | −1.98352 | − | 8.69038i | −0.129945 | − | 0.569326i | −0.997416 | − | 0.0718386i | \(-0.977113\pi\) |
0.867471 | − | 0.497487i | \(-0.165744\pi\) | |||||||
\(234\) | −5.50675 | − | 2.26093i | −0.359988 | − | 0.147802i | ||||
\(235\) | −17.3066 | + | 35.9376i | −1.12896 | + | 2.34431i | ||||
\(236\) | 6.09858 | + | 17.0870i | 0.396984 | + | 1.11227i | ||||
\(237\) | 2.32724 | + | 4.83257i | 0.151171 | + | 0.313909i | ||||
\(238\) | 1.09645 | − | 2.58688i | 0.0710720 | − | 0.167683i | ||||
\(239\) | −0.305326 | + | 0.634016i | −0.0197499 | + | 0.0410111i | −0.910610 | − | 0.413266i | \(-0.864388\pi\) |
0.890861 | + | 0.454277i | \(0.150102\pi\) | |||||||
\(240\) | −7.66419 | + | 9.85976i | −0.494721 | + | 0.636445i | ||||
\(241\) | −20.4870 | − | 4.67602i | −1.31968 | − | 0.301209i | −0.496031 | − | 0.868305i | \(-0.665210\pi\) |
−0.823652 | + | 0.567096i | \(0.808067\pi\) | |||||||
\(242\) | −6.82229 | − | 4.80884i | −0.438553 | − | 0.309124i | ||||
\(243\) | 0.623490 | + | 0.781831i | 0.0399969 | + | 0.0501545i | ||||
\(244\) | 17.2670 | + | 10.7003i | 1.10540 | + | 0.685018i | ||||
\(245\) | 0.494107 | − | 21.8487i | 0.0315674 | − | 1.39586i | ||||
\(246\) | −1.04856 | + | 0.583784i | −0.0668538 | + | 0.0372207i | ||||
\(247\) | 7.19405 | − | 5.73706i | 0.457746 | − | 0.365041i | ||||
\(248\) | 1.04879 | − | 0.445932i | 0.0665982 | − | 0.0283167i | ||||
\(249\) | 1.60294 | − | 7.02292i | 0.101582 | − | 0.445060i | ||||
\(250\) | 0.643161 | − | 0.912450i | 0.0406770 | − | 0.0577084i | ||||
\(251\) | −22.2284 | − | 10.7047i | −1.40305 | − | 0.675672i | −0.429270 | − | 0.903176i | \(-0.641229\pi\) |
−0.973777 | + | 0.227504i | \(0.926943\pi\) | |||||||
\(252\) | −5.25515 | − | 0.619192i | −0.331043 | − | 0.0390054i | ||||
\(253\) | 12.7283 | − | 6.12964i | 0.800224 | − | 0.385367i | ||||
\(254\) | −2.32294 | + | 13.9341i | −0.145754 | + | 0.874306i | ||||
\(255\) | −2.11221 | − | 1.01719i | −0.132272 | − | 0.0636988i | ||||
\(256\) | −15.9950 | + | 0.398061i | −0.999690 | + | 0.0248788i | ||||
\(257\) | −11.3538 | + | 2.59143i | −0.708229 | + | 0.161649i | −0.561438 | − | 0.827519i | \(-0.689752\pi\) |
−0.146791 | + | 0.989167i | \(0.546895\pi\) | |||||||
\(258\) | 16.4791 | + | 6.76591i | 1.02595 | + | 0.421227i | ||||
\(259\) | −0.0582426 | + | 5.15147i | −0.00361902 | + | 0.320097i | ||||
\(260\) | −8.83491 | − | 24.7537i | −0.547918 | − | 1.53516i | ||||
\(261\) | 1.16265 | + | 0.559902i | 0.0719662 | + | 0.0346571i | ||||
\(262\) | −18.3564 | + | 16.5073i | −1.13406 | + | 1.01982i | ||||
\(263\) | 16.5696i | 1.02173i | 0.859661 | + | 0.510864i | \(0.170674\pi\) | ||||
−0.859661 | + | 0.510864i | \(0.829326\pi\) | |||||||
\(264\) | 0.298569 | − | 6.37922i | 0.0183757 | − | 0.392614i | ||||
\(265\) | 25.3994 | − | 5.79725i | 1.56027 | − | 0.356122i | ||||
\(266\) | 4.78764 | − | 6.63171i | 0.293549 | − | 0.406616i | ||||
\(267\) | 15.5161 | + | 3.54145i | 0.949570 | + | 0.216733i | ||||
\(268\) | 2.48086 | − | 2.51192i | 0.151543 | − | 0.153440i | ||||
\(269\) | 6.90235 | + | 5.50444i | 0.420844 | + | 0.335612i | 0.810906 | − | 0.585177i | \(-0.198975\pi\) |
−0.390062 | + | 0.920789i | \(0.627546\pi\) | |||||||
\(270\) | −0.726038 | + | 4.35513i | −0.0441853 | + | 0.265045i | ||||
\(271\) | 2.77844 | − | 12.1731i | 0.168778 | − | 0.739466i | −0.817710 | − | 0.575631i | \(-0.804756\pi\) |
0.986488 | − | 0.163835i | \(-0.0523864\pi\) | |||||||
\(272\) | −0.704753 | − | 2.91980i | −0.0427319 | − | 0.177039i | ||||
\(273\) | 7.04162 | − | 8.62798i | 0.426178 | − | 0.522189i | ||||
\(274\) | −21.3601 | + | 19.2084i | −1.29041 | + | 1.16042i | ||||
\(275\) | − | 10.7184i | − | 0.646346i | ||||||
\(276\) | −10.6371 | − | 6.59178i | −0.640277 | − | 0.396779i | ||||
\(277\) | −5.33018 | − | 23.3530i | −0.320259 | − | 1.40315i | −0.837092 | − | 0.547062i | \(-0.815746\pi\) |
0.516833 | − | 0.856086i | \(-0.327111\pi\) | |||||||
\(278\) | 0.832276 | + | 14.0399i | 0.0499166 | + | 0.842058i | ||||
\(279\) | 0.251222 | − | 0.315023i | 0.0150403 | − | 0.0188599i | ||||
\(280\) | −13.4820 | − | 19.0808i | −0.805702 | − | 1.14030i | ||||
\(281\) | −13.2980 | − | 16.6751i | −0.793290 | − | 0.994755i | −0.999867 | − | 0.0163241i | \(-0.994804\pi\) |
0.206576 | − | 0.978430i | \(-0.433768\pi\) | |||||||
\(282\) | −13.4349 | + | 12.0815i | −0.800037 | + | 0.719444i | ||||
\(283\) | −0.223316 | − | 0.280030i | −0.0132748 | − | 0.0166460i | 0.775150 | − | 0.631777i | \(-0.217674\pi\) |
−0.788425 | + | 0.615131i | \(0.789103\pi\) | |||||||
\(284\) | −10.1046 | − | 15.8615i | −0.599597 | − | 0.941206i | ||||
\(285\) | −5.33586 | − | 4.25521i | −0.316069 | − | 0.252057i | ||||
\(286\) | 10.9858 | + | 7.74359i | 0.649605 | + | 0.457888i | ||||
\(287\) | −0.474829 | − | 2.19443i | −0.0280283 | − | 0.129533i | ||||
\(288\) | −4.90786 | + | 2.81299i | −0.289199 | + | 0.165757i | ||||
\(289\) | −14.8084 | + | 7.13137i | −0.871085 | + | 0.419492i | ||||
\(290\) | 1.59432 | + | 5.47000i | 0.0936218 | + | 0.321210i | ||||
\(291\) | −0.0655141 | − | 0.136041i | −0.00384050 | − | 0.00797489i | ||||
\(292\) | −1.55429 | − | 13.0638i | −0.0909581 | − | 0.764503i | ||||
\(293\) | − | 23.2621i | − | 1.35899i | −0.733682 | − | 0.679493i | \(-0.762200\pi\) | ||
0.733682 | − | 0.679493i | \(-0.237800\pi\) | |||||||
\(294\) | 3.96600 | − | 9.07033i | 0.231302 | − | 0.528992i | ||||
\(295\) | 28.3213i | 1.64893i | ||||||||
\(296\) | 3.22881 | + | 4.46177i | 0.187670 | + | 0.259335i | ||||
\(297\) | −0.979650 | − | 2.03426i | −0.0568450 | − | 0.118040i | ||||
\(298\) | −22.6855 | + | 6.61205i | −1.31413 | + | 0.383026i | ||||
\(299\) | 23.7291 | − | 11.4274i | 1.37229 | − | 0.660861i | ||||
\(300\) | −8.00750 | + | 5.10119i | −0.462313 | + | 0.294517i | ||||
\(301\) | −21.0723 | + | 25.8195i | −1.21459 | + | 1.48821i | ||||
\(302\) | 2.49338 | − | 3.53736i | 0.143478 | − | 0.203552i | ||||
\(303\) | 2.38941 | + | 1.90549i | 0.137268 | + | 0.109468i | ||||
\(304\) | −0.108779 | − | 8.74337i | −0.00623892 | − | 0.501467i | ||||
\(305\) | 19.7709 | + | 24.7919i | 1.13208 | + | 1.41958i | ||||
\(306\) | −0.710086 | − | 0.789630i | −0.0405929 | − | 0.0451402i | ||||
\(307\) | −18.9069 | − | 23.7086i | −1.07908 | − | 1.35312i | −0.931364 | − | 0.364088i | \(-0.881381\pi\) |
−0.147712 | − | 0.989030i | \(-0.547191\pi\) | |||||||
\(308\) | 11.2568 | + | 4.00330i | 0.641417 | + | 0.228109i | ||||
\(309\) | −2.23007 | + | 2.79642i | −0.126864 | + | 0.159083i | ||||
\(310\) | 1.77591 | − | 0.105275i | 0.100865 | − | 0.00597920i | ||||
\(311\) | −1.27455 | − | 5.58416i | −0.0722730 | − | 0.316649i | 0.925850 | − | 0.377892i | \(-0.123351\pi\) |
−0.998123 | + | 0.0612427i | \(0.980494\pi\) | |||||||
\(312\) | 0.556616 | − | 11.8926i | 0.0315122 | − | 0.673287i | ||||
\(313\) | 11.4620i | 0.647870i | 0.946079 | + | 0.323935i | \(0.105006\pi\) | ||||
−0.946079 | + | 0.323935i | \(0.894994\pi\) | |||||||
\(314\) | 16.6959 | + | 18.5662i | 0.942204 | + | 1.04775i | ||||
\(315\) | −7.40115 | − | 3.66785i | −0.417007 | − | 0.206660i | ||||
\(316\) | −7.53816 | + | 7.63253i | −0.424055 | + | 0.429363i | ||||
\(317\) | 1.24478 | − | 5.45372i | 0.0699136 | − | 0.306312i | −0.927866 | − | 0.372914i | \(-0.878359\pi\) |
0.997780 | + | 0.0666022i | \(0.0212158\pi\) | |||||||
\(318\) | 11.6406 | + | 1.94058i | 0.652771 | + | 0.108822i | ||||
\(319\) | −2.27798 | − | 1.81663i | −0.127542 | − | 0.101712i | ||||
\(320\) | −23.7246 | − | 7.80783i | −1.32624 | − | 0.436471i | ||||
\(321\) | 11.4288 | + | 2.60854i | 0.637891 | + | 0.145595i | ||||
\(322\) | 17.5838 | − | 15.4566i | 0.979909 | − | 0.861360i | ||||
\(323\) | 1.60035 | − | 0.365269i | 0.0890457 | − | 0.0203241i | ||||
\(324\) | −1.05351 | + | 1.70003i | −0.0585283 | + | 0.0944464i | ||||
\(325\) | − | 19.9821i | − | 1.10841i | ||||||
\(326\) | 14.9085 | + | 16.5785i | 0.825704 | + | 0.918199i | ||||
\(327\) | 17.5085 | + | 8.43166i | 0.968224 | + | 0.466272i | ||||
\(328\) | −1.80456 | − | 1.58262i | −0.0996403 | − | 0.0873856i | ||||
\(329\) | −14.3211 | − | 30.6189i | −0.789549 | − | 1.68807i | ||||
\(330\) | 3.78631 | − | 9.22198i | 0.208429 | − | 0.507653i | ||||
\(331\) | −23.5793 | + | 5.38182i | −1.29603 | + | 0.295811i | −0.814268 | − | 0.580488i | \(-0.802862\pi\) |
−0.481766 | + | 0.876300i | \(0.660004\pi\) | |||||||
\(332\) | 14.3062 | − | 1.70210i | 0.785153 | − | 0.0934149i | ||||
\(333\) | 1.75436 | + | 0.844857i | 0.0961385 | + | 0.0462979i | ||||
\(334\) | −0.274638 | − | 0.0457845i | −0.0150275 | − | 0.00250522i | ||||
\(335\) | 4.96540 | − | 2.39121i | 0.271289 | − | 0.130646i | ||||
\(336\) | −2.36665 | − | 10.3150i | −0.129111 | − | 0.562729i | ||||
\(337\) | 7.55735 | + | 3.63943i | 0.411675 | + | 0.198252i | 0.628246 | − | 0.778014i | \(-0.283773\pi\) |
−0.216571 | + | 0.976267i | \(0.569487\pi\) | |||||||
\(338\) | 5.45368 | + | 3.84414i | 0.296641 | + | 0.209094i | ||||
\(339\) | 4.33258 | − | 18.9823i | 0.235313 | − | 1.03098i | ||||
\(340\) | 0.495982 | − | 4.66246i | 0.0268984 | − | 0.252857i | ||||
\(341\) | −0.711278 | + | 0.567225i | −0.0385178 | + | 0.0307170i | ||||
\(342\) | −1.50382 | − | 2.70108i | −0.0813172 | − | 0.146058i | ||||
\(343\) | 14.0798 | + | 12.0316i | 0.760239 | + | 0.649643i | ||||
\(344\) | −1.66569 | + | 35.5891i | −0.0898081 | + | 1.91883i | ||||
\(345\) | −12.1796 | − | 15.2727i | −0.655727 | − | 0.822256i | ||||
\(346\) | −19.7590 | + | 28.0321i | −1.06225 | + | 1.50701i | ||||
\(347\) | 0.152163 | + | 0.0347302i | 0.00816854 | + | 0.00186442i | 0.226603 | − | 0.973987i | \(-0.427238\pi\) |
−0.218435 | + | 0.975852i | \(0.570095\pi\) | |||||||
\(348\) | −0.273009 | + | 2.56641i | −0.0146348 | + | 0.137574i | ||||
\(349\) | 12.7426 | − | 26.4603i | 0.682096 | − | 1.41639i | −0.215914 | − | 0.976412i | \(-0.569273\pi\) |
0.898010 | − | 0.439975i | \(-0.145013\pi\) | |||||||
\(350\) | −4.77718 | − | 17.1078i | −0.255351 | − | 0.914449i | ||||
\(351\) | −1.82634 | − | 3.79243i | −0.0974828 | − | 0.202425i | ||||
\(352\) | 12.2168 | − | 3.72628i | 0.651155 | − | 0.198611i | ||||
\(353\) | −0.125093 | + | 0.259758i | −0.00665802 | + | 0.0138255i | −0.904271 | − | 0.426958i | \(-0.859585\pi\) |
0.897613 | + | 0.440784i | \(0.145299\pi\) | |||||||
\(354\) | −4.87251 | + | 11.8675i | −0.258971 | + | 0.630753i | ||||
\(355\) | −6.53267 | − | 28.6215i | −0.346718 | − | 1.51907i | ||||
\(356\) | 3.76054 | + | 31.6073i | 0.199308 | + | 1.67518i | ||||
\(357\) | 1.79961 | − | 0.841717i | 0.0952455 | − | 0.0445484i | ||||
\(358\) | −2.14730 | + | 12.8806i | −0.113488 | + | 0.680759i | ||||
\(359\) | −5.48979 | + | 11.3997i | −0.289740 | + | 0.601651i | −0.994134 | − | 0.108158i | \(-0.965505\pi\) |
0.704394 | + | 0.709809i | \(0.251219\pi\) | |||||||
\(360\) | −8.69153 | + | 1.56032i | −0.458084 | + | 0.0822362i | ||||
\(361\) | −14.2214 | −0.748492 | ||||||||
\(362\) | 5.12271 | − | 2.85206i | 0.269244 | − | 0.149901i | ||||
\(363\) | −1.31333 | − | 5.75408i | −0.0689320 | − | 0.302011i | ||||
\(364\) | 20.9858 | + | 7.46326i | 1.09996 | + | 0.391181i | ||||
\(365\) | 4.56986 | − | 20.0219i | 0.239197 | − | 1.04799i | ||||
\(366\) | 4.01935 | + | 13.7901i | 0.210095 | + | 0.720820i | ||||
\(367\) | 3.11165 | − | 3.90189i | 0.162427 | − | 0.203677i | −0.693957 | − | 0.720016i | \(-0.744134\pi\) |
0.856384 | + | 0.516340i | \(0.172706\pi\) | |||||||
\(368\) | 5.26525 | − | 24.4678i | 0.274470 | − | 1.27547i | ||||
\(369\) | −0.827335 | − | 0.188834i | −0.0430694 | − | 0.00983030i | ||||
\(370\) | 2.40573 | + | 8.25389i | 0.125068 | + | 0.429099i | ||||
\(371\) | −9.80358 | + | 19.7821i | −0.508976 | + | 1.02703i | ||||
\(372\) | 0.762277 | + | 0.261421i | 0.0395222 | + | 0.0135541i | ||||
\(373\) | −24.4494 | −1.26594 | −0.632970 | − | 0.774176i | \(-0.718164\pi\) | ||||
−0.632970 | + | 0.774176i | \(0.718164\pi\) | |||||||
\(374\) | 1.16635 | + | 2.09494i | 0.0603106 | + | 0.108327i | ||||
\(375\) | 0.769582 | − | 0.175652i | 0.0397410 | − | 0.00907063i | ||||
\(376\) | −31.7891 | − | 17.1840i | −1.63940 | − | 0.886197i | ||||
\(377\) | −4.24678 | − | 3.38670i | −0.218720 | − | 0.174424i | ||||
\(378\) | −2.47029 | − | 2.81028i | −0.127058 | − | 0.144545i | ||||
\(379\) | 18.1646 | − | 14.4858i | 0.933051 | − | 0.744083i | −0.0337988 | − | 0.999429i | \(-0.510761\pi\) |
0.966850 | + | 0.255345i | \(0.0821891\pi\) | |||||||
\(380\) | 4.42797 | − | 12.9115i | 0.227150 | − | 0.662344i | ||||
\(381\) | −7.80964 | + | 6.22798i | −0.400100 | + | 0.319069i | ||||
\(382\) | 12.1909 | − | 0.722671i | 0.623743 | − | 0.0369751i | ||||
\(383\) | −9.17187 | + | 11.5012i | −0.468660 | + | 0.587682i | −0.958842 | − | 0.283938i | \(-0.908359\pi\) |
0.490182 | + | 0.871620i | \(0.336930\pi\) | |||||||
\(384\) | −8.59810 | − | 7.35342i | −0.438770 | − | 0.375253i | ||||
\(385\) | 14.4490 | + | 11.7924i | 0.736389 | + | 0.600995i | ||||
\(386\) | −0.726467 | − | 12.2550i | −0.0369762 | − | 0.623762i | ||||
\(387\) | 5.46538 | + | 11.3490i | 0.277821 | + | 0.576901i | ||||
\(388\) | 0.212206 | − | 0.214863i | 0.0107731 | − | 0.0109080i | ||||
\(389\) | −15.3648 | + | 7.39929i | −0.779025 | + | 0.375159i | −0.780753 | − | 0.624840i | \(-0.785164\pi\) |
0.00172788 | + | 0.999999i | \(0.499450\pi\) | |||||||
\(390\) | 7.05873 | − | 17.1923i | 0.357432 | − | 0.870567i | ||||
\(391\) | 4.69844 | 0.237610 | ||||||||
\(392\) | 19.7514 | + | 1.37256i | 0.997594 | + | 0.0693248i | ||||
\(393\) | −17.4563 | −0.880556 | ||||||||
\(394\) | −4.71249 | + | 11.4778i | −0.237412 | + | 0.578243i | ||||
\(395\) | −15.0875 | + | 7.26576i | −0.759135 | + | 0.365580i | ||||
\(396\) | 3.17318 | − | 3.21290i | 0.159458 | − | 0.161454i | ||||
\(397\) | 16.6744 | + | 34.6248i | 0.836866 | + | 1.73777i | 0.656727 | + | 0.754128i | \(0.271940\pi\) |
0.180139 | + | 0.983641i | \(0.442345\pi\) | |||||||
\(398\) | 0.341287 | + | 5.75727i | 0.0171072 | + | 0.288586i | ||||
\(399\) | 5.65282 | − | 1.22315i | 0.282995 | − | 0.0612342i | ||||
\(400\) | −14.9921 | − | 11.6536i | −0.749603 | − | 0.582681i | ||||
\(401\) | 12.4272 | − | 15.5832i | 0.620586 | − | 0.778190i | −0.367841 | − | 0.929889i | \(-0.619903\pi\) |
0.988427 | + | 0.151699i | \(0.0484743\pi\) | |||||||
\(402\) | 2.49206 | − | 0.147728i | 0.124293 | − | 0.00736799i | ||||
\(403\) | −1.32602 | + | 1.05746i | −0.0660537 | + | 0.0526761i | ||||
\(404\) | −1.98285 | + | 5.78179i | −0.0986507 | + | 0.287655i | ||||
\(405\) | −2.44091 | + | 1.94656i | −0.121290 | + | 0.0967255i | ||||
\(406\) | −4.44556 | − | 1.88424i | −0.220630 | − | 0.0935134i | ||||
\(407\) | −3.43732 | − | 2.74117i | −0.170382 | − | 0.135875i | ||||
\(408\) | 1.00998 | − | 1.86839i | 0.0500016 | − | 0.0924992i | ||||
\(409\) | 12.1359 | − | 2.76994i | 0.600082 | − | 0.136965i | 0.0883204 | − | 0.996092i | \(-0.471850\pi\) |
0.511762 | + | 0.859127i | \(0.328993\pi\) | |||||||
\(410\) | −1.82260 | − | 3.27365i | −0.0900118 | − | 0.161674i | ||||
\(411\) | −20.3128 | −1.00195 | ||||||||
\(412\) | −6.76665 | − | 2.32061i | −0.333369 | − | 0.114328i | ||||
\(413\) | −18.5941 | − | 15.1753i | −0.914954 | − | 0.746729i | ||||
\(414\) | −2.47607 | − | 8.49521i | −0.121692 | − | 0.417517i | ||||
\(415\) | 21.9259 | + | 5.00444i | 1.07630 | + | 0.245658i | ||||
\(416\) | 22.7754 | − | 6.94681i | 1.11666 | − | 0.340596i | ||||
\(417\) | −6.20069 | + | 7.77542i | −0.303649 | + | 0.380764i | ||||
\(418\) | 1.95321 | + | 6.70131i | 0.0955344 | + | 0.327772i | ||||
\(419\) | −2.95873 | + | 12.9630i | −0.144543 | + | 0.633286i | 0.849803 | + | 0.527100i | \(0.176721\pi\) |
−0.994346 | + | 0.106185i | \(0.966136\pi\) | |||||||
\(420\) | 1.93314 | − | 16.4068i | 0.0943278 | − | 0.800570i | ||||
\(421\) | 0.265489 | + | 1.16318i | 0.0129392 | + | 0.0566901i | 0.980985 | − | 0.194082i | \(-0.0621727\pi\) |
−0.968046 | + | 0.250772i | \(0.919316\pi\) | |||||||
\(422\) | −17.6640 | + | 9.83439i | −0.859870 | + | 0.478730i | ||||
\(423\) | −12.7761 | −0.621197 | ||||||||
\(424\) | 4.17049 | + | 23.2311i | 0.202537 | + | 1.12820i | ||||
\(425\) | 1.54667 | − | 3.21168i | 0.0750243 | − | 0.155790i | ||||
\(426\) | 2.18676 | − | 13.1173i | 0.105949 | − | 0.635534i | ||||
\(427\) | −26.8707 | − | 0.303801i | −1.30037 | − | 0.0147020i | ||||
\(428\) | 2.76992 | + | 23.2812i | 0.133889 | + | 1.12534i | ||||
\(429\) | 2.11483 | + | 9.26569i | 0.102105 | + | 0.447352i | ||||
\(430\) | −21.1235 | + | 51.4486i | −1.01866 | + | 2.48107i | ||||
\(431\) | −6.88673 | + | 14.3004i | −0.331722 | + | 0.688828i | −0.998402 | − | 0.0565163i | \(-0.982001\pi\) |
0.666679 | + | 0.745345i | \(0.267715\pi\) | |||||||
\(432\) | −3.91048 | − | 0.841501i | −0.188143 | − | 0.0404867i | ||||
\(433\) | −6.92016 | − | 14.3699i | −0.332562 | − | 0.690571i | 0.665899 | − | 0.746042i | \(-0.268048\pi\) |
−0.998460 | + | 0.0554708i | \(0.982334\pi\) | |||||||
\(434\) | −0.882465 | + | 1.22237i | −0.0423597 | + | 0.0586755i | ||||
\(435\) | −1.74804 | + | 3.62984i | −0.0838121 | + | 0.174038i | ||||
\(436\) | −4.11129 | + | 38.6479i | −0.196895 | + | 1.85090i | ||||
\(437\) | 13.3349 | + | 3.04360i | 0.637894 | + | 0.145595i | ||||
\(438\) | 5.35957 | − | 7.60360i | 0.256090 | − | 0.363314i | ||||
\(439\) | −10.0216 | − | 12.5666i | −0.478303 | − | 0.599773i | 0.482879 | − | 0.875687i | \(-0.339591\pi\) |
−0.961182 | + | 0.275914i | \(0.911020\pi\) | |||||||
\(440\) | 19.9162 | + | 0.932147i | 0.949467 | + | 0.0444384i | ||||
\(441\) | 6.37384 | − | 2.89382i | 0.303516 | − | 0.137801i | ||||
\(442\) | 2.17440 | + | 3.90555i | 0.103426 | + | 0.185768i | ||||
\(443\) | 6.44100 | − | 5.13653i | 0.306021 | − | 0.244044i | −0.458422 | − | 0.888735i | \(-0.651585\pi\) |
0.764444 | + | 0.644691i | \(0.223014\pi\) | |||||||
\(444\) | −0.411953 | + | 3.87254i | −0.0195504 | + | 0.183783i | ||||
\(445\) | −11.0566 | + | 48.4419i | −0.524131 | + | 2.29637i | ||||
\(446\) | −17.5461 | − | 12.3678i | −0.830834 | − | 0.585632i | ||||
\(447\) | −15.0539 | − | 7.24956i | −0.712023 | − | 0.342892i | ||||
\(448\) | 17.8385 | − | 11.3925i | 0.842788 | − | 0.538246i | ||||
\(449\) | −5.20166 | + | 2.50499i | −0.245482 | + | 0.118218i | −0.552579 | − | 0.833460i | \(-0.686356\pi\) |
0.307098 | + | 0.951678i | \(0.400642\pi\) | |||||||
\(450\) | −6.62211 | − | 1.10396i | −0.312169 | − | 0.0520413i | ||||
\(451\) | 1.72630 | + | 0.831342i | 0.0812883 | + | 0.0391464i | ||||
\(452\) | 38.6682 | − | 4.60061i | 1.81880 | − | 0.216395i | ||||
\(453\) | 2.98349 | − | 0.680962i | 0.140177 | − | 0.0319944i | ||||
\(454\) | 3.63954 | − | 8.86451i | 0.170812 | − | 0.416032i | ||||
\(455\) | 26.9369 | + | 21.9842i | 1.26282 | + | 1.03064i | ||||
\(456\) | 4.07681 | − | 4.64853i | 0.190914 | − | 0.217687i | ||||
\(457\) | 22.2625 | + | 10.7211i | 1.04140 | + | 0.501510i | 0.874784 | − | 0.484513i | \(-0.161003\pi\) |
0.166612 | + | 0.986023i | \(0.446717\pi\) | |||||||
\(458\) | 3.68690 | + | 4.09990i | 0.172277 | + | 0.191576i | ||||
\(459\) | − | 0.750912i | − | 0.0350496i | ||||||
\(460\) | 20.5798 | − | 33.2094i | 0.959540 | − | 1.54840i | ||||
\(461\) | 8.13931 | − | 1.85774i | 0.379086 | − | 0.0865238i | −0.0287322 | − | 0.999587i | \(-0.509147\pi\) |
0.407818 | + | 0.913063i | \(0.366290\pi\) | |||||||
\(462\) | 4.02580 | + | 7.42726i | 0.187297 | + | 0.345547i | ||||
\(463\) | 28.8224 | + | 6.57852i | 1.33949 | + | 0.305730i | 0.831448 | − | 0.555602i | \(-0.187512\pi\) |
0.508042 | + | 0.861332i | \(0.330369\pi\) | |||||||
\(464\) | −5.01768 | + | 1.21112i | −0.232940 | + | 0.0562247i | ||||
\(465\) | 0.983515 | + | 0.784327i | 0.0456094 | + | 0.0363723i | ||||
\(466\) | 12.4345 | + | 2.07294i | 0.576017 | + | 0.0960270i | ||||
\(467\) | −3.83599 | + | 16.8066i | −0.177509 | + | 0.777716i | 0.805267 | + | 0.592913i | \(0.202022\pi\) |
−0.982775 | + | 0.184804i | \(0.940835\pi\) | |||||||
\(468\) | 5.91568 | − | 5.98974i | 0.273452 | − | 0.276876i | ||||
\(469\) | −1.09067 | + | 4.54127i | −0.0503626 | + | 0.209696i | ||||
\(470\) | −37.7191 | − | 41.9444i | −1.73985 | − | 1.93475i | ||||
\(471\) | 17.6558i | 0.813538i | ||||||||
\(472\) | −25.6297 | − | 1.19956i | −1.17970 | − | 0.0552141i | ||||
\(473\) | −6.32871 | − | 27.7279i | −0.290994 | − | 1.27493i | ||||
\(474\) | −7.57220 | + | 0.448875i | −0.347803 | + | 0.0206175i | ||||
\(475\) | 6.47017 | − | 8.11334i | 0.296872 | − | 0.372265i | ||||
\(476\) | 2.79533 | + | 2.82391i | 0.128124 | + | 0.129434i | ||||
\(477\) | 5.20285 | + | 6.52417i | 0.238222 | + | 0.298721i | ||||
\(478\) | −0.665445 | − | 0.739988i | −0.0304368 | − | 0.0338463i | ||||
\(479\) | −4.88805 | − | 6.12943i | −0.223341 | − | 0.280061i | 0.657519 | − | 0.753438i | \(-0.271606\pi\) |
−0.880860 | + | 0.473378i | \(0.843035\pi\) | |||||||
\(480\) | −8.78227 | − | 15.3226i | −0.400854 | − | 0.699376i | ||||
\(481\) | −6.40813 | − | 5.11031i | −0.292185 | − | 0.233010i | ||||
\(482\) | 17.1215 | − | 24.2903i | 0.779864 | − | 1.10639i | ||||
\(483\) | 16.5533 | + | 0.187152i | 0.753203 | + | 0.00851573i | ||||
\(484\) | 9.95557 | − | 6.34222i | 0.452526 | − | 0.288283i | ||||
\(485\) | 0.424727 | − | 0.204538i | 0.0192859 | − | 0.00928758i | ||||
\(486\) | −1.35772 | + | 0.395729i | −0.0615873 | + | 0.0179506i | ||||
\(487\) | 0.641610 | + | 1.33232i | 0.0290741 | + | 0.0603731i | 0.915000 | − | 0.403454i | \(-0.132190\pi\) |
−0.885926 | + | 0.463827i | \(0.846476\pi\) | |||||||
\(488\) | −23.2732 | + | 16.8419i | −1.05353 | + | 0.762395i | ||||
\(489\) | 15.7656i | 0.712946i | ||||||||
\(490\) | 28.3180 | + | 12.3820i | 1.27928 | + | 0.559362i | ||||
\(491\) | − | 11.9603i | − | 0.539761i | −0.962894 | − | 0.269880i | \(-0.913016\pi\) | ||
0.962894 | − | 0.269880i | \(-0.0869841\pi\) | |||||||
\(492\) | −0.200516 | − | 1.68534i | −0.00903996 | − | 0.0759809i | ||||
\(493\) | −0.420437 | − | 0.873047i | −0.0189356 | − | 0.0393201i | ||||
\(494\) | 3.64132 | + | 12.4931i | 0.163831 | + | 0.562091i | ||||
\(495\) | 6.35106 | − | 3.05851i | 0.285459 | − | 0.137470i | ||||
\(496\) | 0.0200504 | + | 1.61159i | 0.000900288 | + | 0.0723626i | ||||
\(497\) | 22.2916 | + | 11.0472i | 0.999914 | + | 0.495536i | ||||
\(498\) | 8.32668 | + | 5.86925i | 0.373128 | + | 0.263007i | ||||
\(499\) | −28.2478 | − | 22.5269i | −1.26455 | − | 1.00844i | −0.999017 | − | 0.0443397i | \(-0.985882\pi\) |
−0.265530 | − | 0.964103i | \(-0.585547\pi\) | |||||||
\(500\) | 0.848243 | + | 1.33151i | 0.0379346 | + | 0.0595470i | ||||
\(501\) | −0.122752 | − | 0.153926i | −0.00548415 | − | 0.00687690i | ||||
\(502\) | 25.9438 | − | 23.3303i | 1.15793 | − | 1.04128i | ||||
\(503\) | 13.9354 | + | 17.4744i | 0.621347 | + | 0.779144i | 0.988533 | − | 0.151003i | \(-0.0482503\pi\) |
−0.367186 | + | 0.930147i | \(0.619679\pi\) | |||||||
\(504\) | 3.63275 | − | 6.54241i | 0.161816 | − | 0.291422i | ||||
\(505\) | −5.94904 | + | 7.45985i | −0.264729 | + | 0.331959i | ||||
\(506\) | 1.18228 | + | 19.9441i | 0.0525585 | + | 0.886625i | ||||
\(507\) | 1.04987 | + | 4.59976i | 0.0466261 | + | 0.204283i | ||||
\(508\) | −16.9815 | − | 10.5234i | −0.753431 | − | 0.466901i | ||||
\(509\) | 39.3395i | 1.74369i | 0.489778 | + | 0.871847i | \(0.337078\pi\) | ||||
−0.489778 | + | 0.871847i | \(0.662922\pi\) | |||||||
\(510\) | 2.46526 | − | 2.21692i | 0.109164 | − | 0.0981669i | ||||
\(511\) | 10.6965 | + | 13.7286i | 0.473186 | + | 0.607316i | ||||
\(512\) | 8.07066 | − | 21.1392i | 0.356676 | − | 0.934228i | ||||
\(513\) | 0.486433 | − | 2.13120i | 0.0214766 | − | 0.0940949i | ||||
\(514\) | 2.70825 | − | 16.2454i | 0.119456 | − | 0.716554i | ||||
\(515\) | −8.73055 | − | 6.96238i | −0.384714 | − | 0.306799i | ||||
\(516\) | −17.7029 | + | 17.9245i | −0.779325 | + | 0.789081i | ||||
\(517\) | 28.1235 | + | 6.41901i | 1.23687 | + | 0.282308i | ||||
\(518\) | −6.70807 | − | 2.84320i | −0.294736 | − | 0.124923i | ||||
\(519\) | −23.6429 | + | 5.39634i | −1.03781 | + | 0.236873i | ||||
\(520\) | 37.1293 | + | 1.73778i | 1.62823 | + | 0.0762067i | ||||
\(521\) | 33.0548i | 1.44816i | 0.689718 | + | 0.724078i | \(0.257734\pi\) | ||||
−0.689718 | + | 0.724078i | \(0.742266\pi\) | |||||||
\(522\) | −1.35698 | + | 1.22028i | −0.0593934 | + | 0.0534104i | ||||
\(523\) | 29.3529 | + | 14.1356i | 1.28351 | + | 0.618107i | 0.946290 | − | 0.323318i | \(-0.104798\pi\) |
0.337222 | + | 0.941425i | \(0.390513\pi\) | |||||||
\(524\) | −11.7357 | − | 32.8811i | −0.512676 | − | 1.43642i | ||||
\(525\) | 5.57708 | − | 11.2537i | 0.243404 | − | 0.491150i | ||||
\(526\) | −21.6771 | − | 8.90005i | −0.945165 | − | 0.388061i | ||||
\(527\) | −0.294978 | + | 0.0673269i | −0.0128495 | + | 0.00293281i | ||||
\(528\) | 8.18517 | + | 3.81707i | 0.356214 | + | 0.166117i | ||||
\(529\) | 14.5504 | + | 7.00711i | 0.632627 | + | 0.304657i | ||||
\(530\) | −6.05859 | + | 36.3424i | −0.263168 | + | 1.57861i | ||||
\(531\) | −8.17303 | + | 3.93592i | −0.354679 | + | 0.170805i | ||||
\(532\) | 6.10428 | + | 9.82547i | 0.264654 | + | 0.425988i | ||||
\(533\) | 3.21830 | + | 1.54985i | 0.139400 | + | 0.0671316i | ||||
\(534\) | −12.9672 | + | 18.3966i | −0.561146 | + | 0.796097i | ||||
\(535\) | −8.14398 | + | 35.6811i | −0.352095 | + | 1.54263i | ||||
\(536\) | 1.95364 | + | 4.59478i | 0.0843846 | + | 0.198464i | ||||
\(537\) | −7.21914 | + | 5.75707i | −0.311529 | + | 0.248436i | ||||
\(538\) | −10.9086 | + | 6.07333i | −0.470303 | + | 0.261840i | ||||
\(539\) | −15.4843 | + | 3.16767i | −0.666958 | + | 0.136441i | ||||
\(540\) | −5.30758 | − | 3.28910i | −0.228402 | − | 0.141541i | ||||
\(541\) | −22.5653 | − | 28.2959i | −0.970156 | − | 1.21654i | −0.976270 | − | 0.216556i | \(-0.930518\pi\) |
0.00611428 | − | 0.999981i | \(-0.498054\pi\) | |||||||
\(542\) | 14.4330 | + | 10.1734i | 0.619951 | + | 0.436986i | ||||
\(543\) | 4.04192 | + | 0.922541i | 0.173455 | + | 0.0395900i | ||||
\(544\) | 4.19834 | + | 0.646326i | 0.180002 | + | 0.0277110i | ||||
\(545\) | −26.3240 | + | 54.6624i | −1.12760 | + | 2.34148i | ||||
\(546\) | 7.50520 | + | 13.8465i | 0.321193 | + | 0.592574i | ||||
\(547\) | −19.0714 | − | 39.6022i | −0.815435 | − | 1.69327i | −0.715866 | − | 0.698237i | \(-0.753968\pi\) |
−0.0995684 | − | 0.995031i | \(-0.531746\pi\) | |||||||
\(548\) | −13.6560 | − | 38.2615i | −0.583356 | − | 1.63445i | ||||
\(549\) | −4.40688 | + | 9.15098i | −0.188081 | + | 0.390554i | ||||
\(550\) | 14.0223 | + | 5.75719i | 0.597912 | + | 0.245488i | ||||
\(551\) | −0.627714 | − | 2.75020i | −0.0267415 | − | 0.117162i | ||||
\(552\) | 14.3371 | − | 10.3752i | 0.610229 | − | 0.441598i | ||||
\(553\) | 3.31404 | − | 13.7988i | 0.140927 | − | 0.586783i | ||||
\(554\) | 33.4144 | + | 5.57046i | 1.41964 | + | 0.236666i | ||||
\(555\) | −2.63768 | + | 5.47720i | −0.111963 | + | 0.232494i | ||||
\(556\) | −18.8146 | − | 6.45243i | −0.797917 | − | 0.273644i | ||||
\(557\) | 8.18944 | 0.346998 | 0.173499 | − | 0.984834i | \(-0.444493\pi\) | ||||
0.173499 | + | 0.984834i | \(0.444493\pi\) | |||||||
\(558\) | 0.277186 | + | 0.497867i | 0.0117342 | + | 0.0210764i | ||||
\(559\) | −11.7985 | − | 51.6925i | −0.499022 | − | 2.18636i | ||||
\(560\) | 32.2038 | − | 7.38879i | 1.36086 | − | 0.312233i | ||||
\(561\) | −0.377275 | + | 1.65295i | −0.0159285 | + | 0.0697875i | ||||
\(562\) | 28.9578 | − | 8.44023i | 1.22151 | − | 0.356029i | ||||
\(563\) | 8.93422 | − | 11.2032i | 0.376533 | − | 0.472157i | −0.557071 | − | 0.830465i | \(-0.688075\pi\) |
0.933603 | + | 0.358308i | \(0.116646\pi\) | |||||||
\(564\) | −8.58925 | − | 24.0654i | −0.361673 | − | 1.01334i | ||||
\(565\) | 59.2635 | + | 13.5265i | 2.49323 | + | 0.569064i | ||||
\(566\) | 0.486296 | − | 0.141739i | 0.0204405 | − | 0.00595773i | ||||
\(567\) | 0.0299110 | − | 2.64558i | 0.00125614 | − | 0.111104i | ||||
\(568\) | 26.1781 | − | 4.69955i | 1.09841 | − | 0.197189i | ||||
\(569\) | −2.68987 | −0.112765 | −0.0563826 | − | 0.998409i | \(-0.517957\pi\) | ||||
−0.0563826 | + | 0.998409i | \(0.517957\pi\) | |||||||
\(570\) | 8.43288 | − | 4.69499i | 0.353215 | − | 0.196651i | ||||
\(571\) | 8.17051 | − | 1.86487i | 0.341925 | − | 0.0780422i | −0.0481102 | − | 0.998842i | \(-0.515320\pi\) |
0.390035 | + | 0.920800i | \(0.372463\pi\) | |||||||
\(572\) | −16.0313 | + | 10.2128i | −0.670302 | + | 0.427017i | ||||
\(573\) | 6.75145 | + | 5.38411i | 0.282046 | + | 0.224924i | ||||
\(574\) | 3.12589 | + | 0.557504i | 0.130472 | + | 0.0232698i | ||||
\(575\) | 23.2226 | − | 18.5194i | 0.968451 | − | 0.772314i | ||||
\(576\) | −1.04390 | − | 7.93160i | −0.0434959 | − | 0.330483i | ||||
\(577\) | −28.7603 | + | 22.9356i | −1.19731 | + | 0.954821i | −0.999676 | − | 0.0254557i | \(-0.991896\pi\) |
−0.197631 | + | 0.980276i | \(0.563325\pi\) | |||||||
\(578\) | −1.37549 | − | 23.2035i | −0.0572127 | − | 0.965137i | ||||
\(579\) | 5.41238 | − | 6.78691i | 0.224931 | − | 0.282055i | ||||
\(580\) | −8.01243 | − | 0.852346i | −0.332698 | − | 0.0353918i | ||||
\(581\) | −15.0341 | + | 11.7137i | −0.623721 | + | 0.485967i | ||||
\(582\) | 0.213164 | − | 0.0126362i | 0.00883594 | − | 0.000523789i | ||||
\(583\) | −8.17491 | − | 16.9754i | −0.338570 | − | 0.703048i | ||||
\(584\) | 17.9255 | + | 4.98359i | 0.741762 | + | 0.206222i | ||||
\(585\) | 11.8401 | − | 5.70191i | 0.489530 | − | 0.235745i | ||||
\(586\) | 30.4324 | + | 12.4948i | 1.25715 | + | 0.516154i | ||||
\(587\) | −17.7570 | −0.732910 | −0.366455 | − | 0.930436i | \(-0.619429\pi\) | ||||
−0.366455 | + | 0.930436i | \(0.619429\pi\) | |||||||
\(588\) | 9.73591 | + | 10.0604i | 0.401502 | + | 0.414885i | ||||
\(589\) | −0.880807 | −0.0362930 | ||||||||
\(590\) | −37.0510 | − | 15.2122i | −1.52537 | − | 0.626276i | ||||
\(591\) | −7.90462 | + | 3.80666i | −0.325152 | + | 0.156585i | ||||
\(592\) | −7.57136 | + | 1.82750i | −0.311181 | + | 0.0751098i | ||||
\(593\) | 8.09174 | + | 16.8027i | 0.332288 | + | 0.690003i | 0.998441 | − | 0.0558118i | \(-0.0177747\pi\) |
−0.666153 | + | 0.745815i | \(0.732060\pi\) | |||||||
\(594\) | 3.18750 | − | 0.188953i | 0.130785 | − | 0.00775284i | ||||
\(595\) | 2.62788 | + | 5.61846i | 0.107733 | + | 0.230334i | ||||
\(596\) | 3.53489 | − | 33.2296i | 0.144795 | − | 1.36114i | ||||
\(597\) | −2.54269 | + | 3.18843i | −0.104065 | + | 0.130494i | ||||
\(598\) | 2.20409 | + | 37.1814i | 0.0901319 | + | 1.52046i | ||||
\(599\) | 15.6722 | − | 12.4981i | 0.640348 | − | 0.510661i | −0.248637 | − | 0.968597i | \(-0.579983\pi\) |
0.888985 | + | 0.457936i | \(0.151411\pi\) | |||||||
\(600\) | −2.37252 | − | 13.2157i | −0.0968576 | − | 0.539530i | ||||
\(601\) | −29.9587 | + | 23.8913i | −1.22204 | + | 0.974546i | −1.00000 | 0.000490558i | \(-0.999844\pi\) | |
−0.222043 | + | 0.975037i | \(0.571272\pi\) | |||||||
\(602\) | −22.4595 | − | 41.4360i | −0.915383 | − | 1.68881i | ||||
\(603\) | 1.38012 | + | 1.10061i | 0.0562030 | + | 0.0448204i | ||||
\(604\) | 3.28844 | + | 5.16196i | 0.133805 | + | 0.210037i | ||||
\(605\) | 17.9645 | − | 4.10028i | 0.730361 | − | 0.166700i | ||||
\(606\) | −3.77627 | + | 2.10243i | −0.153400 | + | 0.0854053i | ||||
\(607\) | −12.5819 | −0.510682 | −0.255341 | − | 0.966851i | \(-0.582188\pi\) | ||||
−0.255341 | + | 0.966851i | \(0.582188\pi\) | |||||||
\(608\) | 11.4969 | + | 4.55401i | 0.466259 | + | 0.184690i | ||||
\(609\) | −1.44649 | − | 3.09263i | −0.0586148 | − | 0.125320i | ||||
\(610\) | −43.0533 | + | 12.5486i | −1.74318 | + | 0.508078i | ||||
\(611\) | 52.4301 | + | 11.9668i | 2.12109 | + | 0.484126i | ||||
\(612\) | 1.41443 | − | 0.504829i | 0.0571751 | − | 0.0204065i | ||||
\(613\) | 5.77642 | − | 7.24340i | 0.233307 | − | 0.292558i | −0.651372 | − | 0.758759i | \(-0.725806\pi\) |
0.884679 | + | 0.466201i | \(0.154378\pi\) | |||||||
\(614\) | 41.1720 | − | 12.0002i | 1.66156 | − | 0.484290i | ||||
\(615\) | 0.589548 | − | 2.58298i | 0.0237729 | − | 0.104156i | ||||
\(616\) | −11.2836 | + | 12.5763i | −0.454631 | + | 0.506715i | ||||
\(617\) | 3.90667 | + | 17.1162i | 0.157277 | + | 0.689073i | 0.990657 | + | 0.136374i | \(0.0435450\pi\) |
−0.833381 | + | 0.552699i | \(0.813598\pi\) | |||||||
\(618\) | −2.46055 | − | 4.41951i | −0.0989779 | − | 0.177779i | ||||
\(619\) | −19.2221 | −0.772600 | −0.386300 | − | 0.922373i | \(-0.626247\pi\) | ||||
−0.386300 | + | 0.922373i | \(0.626247\pi\) | |||||||
\(620\) | −0.816170 | + | 2.37986i | −0.0327782 | + | 0.0955776i | ||||
\(621\) | 2.71480 | − | 5.63734i | 0.108941 | − | 0.226219i | ||||
\(622\) | 7.99002 | + | 1.33201i | 0.320371 | + | 0.0534085i | ||||
\(623\) | −25.8797 | − | 33.2156i | −1.03685 | − | 1.33076i | ||||
\(624\) | 15.2594 | + | 7.11607i | 0.610866 | + | 0.284871i | ||||
\(625\) | 5.83011 | + | 25.5434i | 0.233204 | + | 1.02173i | ||||
\(626\) | −14.9950 | − | 6.15658i | −0.599322 | − | 0.246066i | ||||
\(627\) | −2.14153 | + | 4.44692i | −0.0855243 | + | 0.177593i | ||||
\(628\) | −33.2569 | + | 11.8698i | −1.32709 | + | 0.473656i | ||||
\(629\) | −0.634413 | − | 1.31737i | −0.0252957 | − | 0.0525271i | ||||
\(630\) | 8.77381 | − | 7.71236i | 0.349557 | − | 0.307268i | ||||
\(631\) | 7.16902 | − | 14.8866i | 0.285394 | − | 0.592627i | −0.708151 | − | 0.706061i | \(-0.750471\pi\) |
0.993546 | + | 0.113433i | \(0.0361848\pi\) | |||||||
\(632\) | −5.93621 | − | 13.9614i | −0.236130 | − | 0.555354i | ||||
\(633\) | −13.9372 | − | 3.18108i | −0.553956 | − | 0.126437i | ||||
\(634\) | 6.46617 | + | 4.55782i | 0.256804 | + | 0.181014i | ||||
\(635\) | −19.4440 | − | 24.3820i | −0.771612 | − | 0.967571i | ||||
\(636\) | −8.79125 | + | 14.1863i | −0.348596 | + | 0.562524i | ||||
\(637\) | −28.8671 | + | 5.90542i | −1.14376 | + | 0.233981i | ||||
\(638\) | 3.60015 | − | 2.00438i | 0.142531 | − | 0.0793541i | ||||
\(639\) | 7.35181 | − | 5.86287i | 0.290833 | − | 0.231932i | ||||
\(640\) | 22.9577 | − | 26.8436i | 0.907483 | − | 1.06109i | ||||
\(641\) | −3.60571 | + | 15.7976i | −0.142417 | + | 0.623969i | 0.852453 | + | 0.522804i | \(0.175114\pi\) |
−0.994870 | + | 0.101165i | \(0.967743\pi\) | |||||||
\(642\) | −9.55133 | + | 13.5504i | −0.376961 | + | 0.534793i | ||||
\(643\) | 14.2270 | + | 6.85134i | 0.561057 | + | 0.270191i | 0.692844 | − | 0.721087i | \(-0.256357\pi\) |
−0.131788 | + | 0.991278i | \(0.542072\pi\) | |||||||
\(644\) | 10.7761 | + | 31.3060i | 0.424637 | + | 1.23363i | ||||
\(645\) | −35.4320 | + | 17.0631i | −1.39513 | + | 0.671861i | ||||
\(646\) | −0.381735 | + | 2.28983i | −0.0150192 | + | 0.0900923i | ||||
\(647\) | 26.0269 | + | 12.5339i | 1.02322 | + | 0.492758i | 0.868756 | − | 0.495240i | \(-0.164920\pi\) |
0.154466 | + | 0.987998i | \(0.450634\pi\) | |||||||
\(648\) | −1.65818 | − | 2.29138i | −0.0651395 | − | 0.0900140i | ||||
\(649\) | 19.9684 | − | 4.55766i | 0.783829 | − | 0.178904i | ||||
\(650\) | 26.1414 | + | 10.7330i | 1.02535 | + | 0.420983i | ||||
\(651\) | −1.04194 | + | 0.225453i | −0.0408367 | + | 0.00883622i | ||||
\(652\) | −29.6965 | + | 10.5990i | −1.16300 | + | 0.415090i | ||||
\(653\) | 15.7832 | + | 7.60080i | 0.617645 | + | 0.297442i | 0.716422 | − | 0.697667i | \(-0.245779\pi\) |
−0.0987766 | + | 0.995110i | \(0.531493\pi\) | |||||||
\(654\) | −20.4350 | + | 18.3765i | −0.799071 | + | 0.718576i | ||||
\(655\) | − | 54.4995i | − | 2.12947i | ||||||
\(656\) | 3.03973 | − | 1.51073i | 0.118682 | − | 0.0589840i | ||||
\(657\) | 6.41306 | − | 1.46374i | 0.250197 | − | 0.0571059i | ||||
\(658\) | 47.7491 | − | 2.28915i | 1.86145 | − | 0.0892403i | ||||
\(659\) | −29.7658 | − | 6.79385i | −1.15951 | − | 0.264651i | −0.400854 | − | 0.916142i | \(-0.631287\pi\) |
−0.758656 | + | 0.651491i | \(0.774144\pi\) | |||||||
\(660\) | 10.0308 | + | 9.90680i | 0.390449 | + | 0.385622i | ||||
\(661\) | 12.3670 | + | 9.86231i | 0.481019 | + | 0.383600i | 0.833765 | − | 0.552119i | \(-0.186181\pi\) |
−0.352746 | + | 0.935719i | \(0.614752\pi\) | |||||||
\(662\) | 5.62443 | − | 33.7381i | 0.218600 | − | 1.31127i | ||||
\(663\) | −0.703344 | + | 3.08155i | −0.0273156 | + | 0.119678i | ||||
\(664\) | −5.45751 | + | 19.6301i | −0.211793 | + | 0.761797i | ||||
\(665\) | 3.81874 | + | 17.6484i | 0.148084 | + | 0.684374i | ||||
\(666\) | −2.04760 | + | 1.84133i | −0.0793428 | + | 0.0713501i | ||||
\(667\) | − | 8.07427i | − | 0.312637i | ||||||
\(668\) | 0.207414 | − | 0.334700i | 0.00802507 | − | 0.0129500i | ||||
\(669\) | −3.37774 | − | 14.7988i | −0.130591 | − | 0.572156i | ||||
\(670\) | 0.461212 | + | 7.78032i | 0.0178182 | + | 0.300580i | ||||
\(671\) | 14.2983 | − | 17.9295i | 0.551980 | − | 0.692161i | ||||
\(672\) | 14.7657 | + | 2.44434i | 0.569598 | + | 0.0942925i | ||||
\(673\) | −15.1530 | − | 19.0013i | −0.584105 | − | 0.732445i | 0.398702 | − | 0.917081i | \(-0.369461\pi\) |
−0.982807 | + | 0.184636i | \(0.940889\pi\) | |||||||
\(674\) | −8.82053 | + | 7.93198i | −0.339754 | + | 0.305529i | ||||
\(675\) | −2.95981 | − | 3.71148i | −0.113923 | − | 0.142855i | ||||
\(676\) | −7.95839 | + | 5.06991i | −0.306092 | + | 0.194997i | ||||
\(677\) | 4.81249 | + | 3.83783i | 0.184959 | + | 0.147500i | 0.711592 | − | 0.702593i | \(-0.247974\pi\) |
−0.526633 | + | 0.850093i | \(0.676546\pi\) | |||||||
\(678\) | 22.5062 | + | 15.8640i | 0.864346 | + | 0.609253i | ||||
\(679\) | −0.0932932 | + | 0.388448i | −0.00358027 | + | 0.0149073i | ||||
\(680\) | 5.83320 | + | 3.15321i | 0.223693 | + | 0.120920i | ||||
\(681\) | 6.10488 | − | 2.93996i | 0.233940 | − | 0.112659i | ||||
\(682\) | −0.360018 | − | 1.23520i | −0.0137858 | − | 0.0472981i | ||||
\(683\) | 19.2024 | + | 39.8742i | 0.734760 | + | 1.52574i | 0.846724 | + | 0.532032i | \(0.178571\pi\) |
−0.111964 | + | 0.993712i | \(0.535714\pi\) | |||||||
\(684\) | 4.34140 | − | 0.516526i | 0.165998 | − | 0.0197499i | ||||
\(685\) | − | 63.4173i | − | 2.42305i | ||||||
\(686\) | −23.3029 | + | 11.9573i | −0.889707 | + | 0.456531i | ||||
\(687\) | 3.89887i | 0.148751i | ||||||||
\(688\) | −45.6643 | − | 21.2951i | −1.74094 | − | 0.811867i | ||||
\(689\) | −15.2403 | − | 31.6468i | −0.580609 | − | 1.20565i | ||||
\(690\) | 26.5224 | − | 7.73039i | 1.00969 | − | 0.294291i | ||||
\(691\) | −33.6567 | + | 16.2082i | −1.28036 | + | 0.616589i | −0.945482 | − | 0.325673i | \(-0.894409\pi\) |
−0.334877 | + | 0.942262i | \(0.608695\pi\) | |||||||
\(692\) | −26.0595 | − | 40.9064i | −0.990634 | − | 1.55503i | ||||
\(693\) | −1.39504 | + | 5.80857i | −0.0529932 | + | 0.220649i | ||||
\(694\) | −0.127167 | + | 0.180411i | −0.00482719 | + | 0.00684832i | ||||
\(695\) | −24.2752 | − | 19.3588i | −0.920811 | − | 0.734323i | ||||
\(696\) | −3.21083 | − | 1.73565i | −0.121706 | − | 0.0657898i | ||||
\(697\) | 0.397308 | + | 0.498209i | 0.0150491 | + | 0.0188710i | ||||
\(698\) | 27.7720 | + | 30.8830i | 1.05118 | + | 1.16894i | ||||
\(699\) | 5.55771 | + | 6.96914i | 0.210212 | + | 0.263597i | ||||
\(700\) | 24.9470 | + | 2.93940i | 0.942910 | + | 0.111099i | ||||
\(701\) | 8.08209 | − | 10.1346i | 0.305256 | − | 0.382779i | −0.605416 | − | 0.795910i | \(-0.706993\pi\) |
0.910672 | + | 0.413130i | \(0.135565\pi\) | |||||||
\(702\) | 5.94239 | − | 0.352261i | 0.224281 | − | 0.0132952i | ||||
\(703\) | −0.947181 | − | 4.14987i | −0.0357236 | − | 0.156515i | ||||
\(704\) | −1.68712 | + | 17.9839i | −0.0635856 | + | 0.677795i | ||||
\(705\) | − | 39.8877i | − | 1.50226i | ||||||
\(706\) | −0.272634 | − | 0.303175i | −0.0102607 | − | 0.0114101i | ||||
\(707\) | −1.71004 | − | 7.90299i | −0.0643127 | − | 0.297222i | ||||
\(708\) | −12.9084 | − | 12.7488i | −0.485128 | − | 0.479130i | ||||
\(709\) | −6.05826 | + | 26.5430i | −0.227523 | + | 0.996842i | 0.724129 | + | 0.689664i | \(0.242242\pi\) |
−0.951652 | + | 0.307178i | \(0.900615\pi\) | |||||||
\(710\) | 40.9527 | + | 6.82716i | 1.53693 | + | 0.256219i | ||||
\(711\) | −4.19355 | − | 3.34424i | −0.157270 | − | 0.125419i | ||||
\(712\) | −43.3698 | − | 12.0575i | −1.62535 | − | 0.451876i | ||||
\(713\) | −2.45791 | − | 0.561001i | −0.0920493 | − | 0.0210097i | ||||
\(714\) | 0.134544 | + | 2.80643i | 0.00503517 | + | 0.105028i | ||||
\(715\) | −28.9279 | + | 6.60261i | −1.08184 | + | 0.246923i | ||||
\(716\) | −15.6975 | − | 9.72772i | −0.586643 | − | 0.363542i | ||||
\(717\) | − | 0.703705i | − | 0.0262803i | ||||||
\(718\) | −11.9648 | − | 13.3051i | −0.446521 | − | 0.496540i | ||||
\(719\) | 21.7925 | + | 10.4947i | 0.812724 | + | 0.391387i | 0.793608 | − | 0.608430i | \(-0.208200\pi\) |
0.0191165 | + | 0.999817i | \(0.493915\pi\) | |||||||
\(720\) | 2.62720 | − | 12.2087i | 0.0979101 | − | 0.454991i | ||||
\(721\) | 9.24917 | − | 2.00133i | 0.344457 | − | 0.0745333i | ||||
\(722\) | 7.63871 | − | 18.6049i | 0.284284 | − | 0.692404i | ||||
\(723\) | 20.4870 | − | 4.67602i | 0.761919 | − | 0.173903i | ||||
\(724\) | 0.979614 | + | 8.23365i | 0.0364070 | + | 0.306001i | ||||
\(725\) | −5.51928 | − | 2.65795i | −0.204981 | − | 0.0987137i | ||||
\(726\) | 8.23315 | + | 1.37254i | 0.305561 | + | 0.0509396i | ||||
\(727\) | −5.90979 | + | 2.84601i | −0.219182 | + | 0.105552i | −0.540253 | − | 0.841503i | \(-0.681671\pi\) |
0.321071 | + | 0.947055i | \(0.395957\pi\) | |||||||
\(728\) | −21.0358 | + | 23.4458i | −0.779640 | + | 0.868958i | ||||
\(729\) | −0.900969 | − | 0.433884i | −0.0333692 | − | 0.0160698i | ||||
\(730\) | 23.7388 | + | 16.7328i | 0.878612 | + | 0.619309i | ||||
\(731\) | 2.10478 | − | 9.22164i | 0.0778481 | − | 0.341075i | ||||
\(732\) | −20.1997 | − | 2.14880i | −0.746602 | − | 0.0794220i | ||||
\(733\) | −7.72035 | + | 6.15677i | −0.285158 | + | 0.227406i | −0.755613 | − | 0.655018i | \(-0.772661\pi\) |
0.470456 | + | 0.882424i | \(0.344090\pi\) | |||||||
\(734\) | 3.43324 | + | 6.16660i | 0.126723 | + | 0.227613i | ||||
\(735\) | 9.03463 | + | 19.8994i | 0.333247 | + | 0.734001i | ||||
\(736\) | 29.1816 | + | 20.0306i | 1.07565 | + | 0.738337i | ||||
\(737\) | −2.48503 | − | 3.11613i | −0.0915374 | − | 0.114784i | ||||
\(738\) | 0.691427 | − | 0.980925i | 0.0254518 | − | 0.0361083i | ||||
\(739\) | 33.7183 | + | 7.69597i | 1.24035 | + | 0.283101i | 0.791868 | − | 0.610693i | \(-0.209109\pi\) |
0.448478 | + | 0.893794i | \(0.351966\pi\) | |||||||
\(740\) | −12.0903 | − | 1.28614i | −0.444447 | − | 0.0472793i | ||||
\(741\) | −3.99240 | + | 8.29030i | −0.146664 | + | 0.304552i | ||||
\(742\) | −20.6139 | − | 23.4510i | −0.756760 | − | 0.860912i | ||||
\(743\) | 18.4038 | + | 38.2158i | 0.675169 | + | 1.40200i | 0.903572 | + | 0.428436i | \(0.140935\pi\) |
−0.228403 | + | 0.973567i | \(0.573350\pi\) | |||||||
\(744\) | −0.751444 | + | 0.856824i | −0.0275493 | + | 0.0314127i | ||||
\(745\) | 22.6334 | − | 46.9988i | 0.829225 | − | 1.72190i | ||||
\(746\) | 13.1325 | − | 31.9856i | 0.480814 | − | 1.17108i | ||||
\(747\) | 1.60294 | + | 7.02292i | 0.0586484 | + | 0.256955i | ||||
\(748\) | −3.36716 | + | 0.400614i | −0.123116 | + | 0.0146479i | ||||
\(749\) | −19.0623 | − | 24.4658i | −0.696523 | − | 0.893961i | ||||
\(750\) | −0.183570 | + | 1.10115i | −0.00670304 | + | 0.0402082i | ||||
\(751\) | 11.0550 | − | 22.9560i | 0.403404 | − | 0.837677i | −0.595994 | − | 0.802989i | \(-0.703242\pi\) |
0.999398 | − | 0.0346883i | \(-0.0110439\pi\) | |||||||
\(752\) | 39.5557 | − | 32.3578i | 1.44245 | − | 1.17997i | ||||
\(753\) | 24.6717 | 0.899087 | ||||||||
\(754\) | 6.71168 | − | 3.73671i | 0.244425 | − | 0.136083i | ||||
\(755\) | 2.12599 | + | 9.31459i | 0.0773728 | + | 0.338993i | ||||
\(756\) | 5.00338 | − | 1.72225i | 0.181971 | − | 0.0626377i | ||||
\(757\) | −7.73434 | + | 33.8864i | −0.281109 | + | 1.23162i | 0.615264 | + | 0.788321i | \(0.289049\pi\) |
−0.896374 | + | 0.443300i | \(0.853808\pi\) | |||||||
\(758\) | 9.19412 | + | 31.5443i | 0.333945 | + | 1.14574i | ||||
\(759\) | −8.80828 | + | 11.0452i | −0.319720 | + | 0.400917i | ||||
\(760\) | 14.5129 | + | 12.7280i | 0.526438 | + | 0.461692i | ||||
\(761\) | −42.2373 | − | 9.64038i | −1.53110 | − | 0.349464i | −0.627766 | − | 0.778402i | \(-0.716031\pi\) |
−0.903334 | + | 0.428938i | \(0.858888\pi\) | |||||||
\(762\) | −3.95290 | − | 13.5621i | −0.143198 | − | 0.491303i | ||||
\(763\) | −21.7830 | − | 46.5724i | −0.788596 | − | 1.68604i | ||||
\(764\) | −5.60269 | + | 16.3369i | −0.202698 | + | 0.591047i | ||||
\(765\) | 2.34438 | 0.0847613 | ||||||||
\(766\) | −10.1198 | − | 18.1766i | −0.365643 | − | 0.656748i | ||||
\(767\) | 37.2266 | − | 8.49674i | 1.34418 | − | 0.306799i | ||||
\(768\) | 14.2383 | − | 7.29863i | 0.513781 | − | 0.263367i | ||||
\(769\) | 17.3956 | + | 13.8726i | 0.627303 | + | 0.500257i | 0.884769 | − | 0.466030i | \(-0.154316\pi\) |
−0.257466 | + | 0.966287i | \(0.582888\pi\) | |||||||
\(770\) | −23.1882 | + | 12.5687i | −0.835646 | + | 0.452945i | ||||
\(771\) | 9.10503 | − | 7.26102i | 0.327909 | − | 0.261499i | ||||
\(772\) | 16.4227 | + | 5.63212i | 0.591064 | + | 0.202704i | ||||
\(773\) | −29.9299 | + | 23.8683i | −1.07650 | + | 0.858483i | −0.990459 | − | 0.137808i | \(-0.955994\pi\) |
−0.0860451 | + | 0.996291i | \(0.527423\pi\) | |||||||
\(774\) | −17.7828 | + | 1.05415i | −0.639189 | + | 0.0378907i | ||||
\(775\) | −1.19259 | + | 1.49546i | −0.0428392 | + | 0.0537186i | ||||
\(776\) | 0.167110 | + | 0.393026i | 0.00599889 | + | 0.0141088i | ||||
\(777\) | −2.18266 | − | 4.66658i | −0.0783026 | − | 0.167413i | ||||
\(778\) | −1.42716 | − | 24.0752i | −0.0511662 | − | 0.863137i | ||||
\(779\) | 0.804887 | + | 1.67136i | 0.0288381 | + | 0.0598829i | ||||
\(780\) | 18.7002 | + | 18.4690i | 0.669575 | + | 0.661297i | ||||
\(781\) | −19.1288 | + | 9.21195i | −0.684483 | + | 0.329630i | ||||
\(782\) | −2.52367 | + | 6.14668i | −0.0902463 | + | 0.219805i | ||||
\(783\) | −1.29044 | −0.0461167 | ||||||||
\(784\) | −12.4047 | + | 25.1023i | −0.443024 | + | 0.896510i | ||||
\(785\) | −55.1223 | −1.96740 | ||||||||
\(786\) | 9.37632 | − | 22.8371i | 0.334442 | − | 0.814572i | ||||
\(787\) | −12.9126 | + | 6.21839i | −0.460285 | + | 0.221662i | −0.649632 | − | 0.760248i | \(-0.725077\pi\) |
0.189347 | + | 0.981910i | \(0.439363\pi\) | |||||||
\(788\) | −12.4845 | − | 12.3301i | −0.444741 | − | 0.439243i | ||||
\(789\) | −7.18930 | − | 14.9287i | −0.255946 | − | 0.531477i | ||||
\(790\) | −1.40141 | − | 23.6407i | −0.0498598 | − | 0.841100i | ||||
\(791\) | −40.6358 | + | 31.6610i | −1.44484 | + | 1.12574i | ||||
\(792\) | 2.49884 | + | 5.87702i | 0.0887923 | + | 0.208831i | ||||
\(793\) | 26.6560 | − | 33.4256i | 0.946583 | − | 1.18698i | ||||
\(794\) | −54.2539 | + | 3.21613i | −1.92540 | + | 0.114136i | ||||
\(795\) | −20.3687 | + | 16.2435i | −0.722405 | + | 0.576098i | ||||
\(796\) | −7.71521 | − | 2.64592i | −0.273458 | − | 0.0937821i | ||||
\(797\) | 2.65823 | − | 2.11987i | 0.0941593 | − | 0.0750896i | −0.575279 | − | 0.817957i | \(-0.695106\pi\) |
0.669438 | + | 0.742868i | \(0.266535\pi\) | |||||||
\(798\) | −1.43612 | + | 8.05224i | −0.0508382 | + | 0.285046i | ||||
\(799\) | 7.50071 | + | 5.98161i | 0.265356 | + | 0.211614i | ||||
\(800\) | 23.2984 | − | 13.3537i | 0.823723 | − | 0.472125i | ||||
\(801\) | −15.5161 | + | 3.54145i | −0.548234 | + | 0.125131i | ||||
\(802\) | 13.7116 | + | 24.6280i | 0.484173 | + | 0.869645i | ||||
\(803\) | −14.8522 | −0.524122 | ||||||||
\(804\) | −1.14530 | + | 3.33956i | −0.0403915 | + | 0.117777i | ||||
\(805\) | −0.584298 | + | 51.6803i | −0.0205938 | + | 1.82149i | ||||
\(806\) | −0.671173 | − | 2.30275i | −0.0236411 | − | 0.0811108i | ||||
\(807\) | −8.60709 | − | 1.96451i | −0.302984 | − | 0.0691541i | ||||
\(808\) | −6.49892 | − | 5.69962i | −0.228631 | − | 0.200512i | ||||
\(809\) | −10.0731 | + | 12.6312i | −0.354150 | + | 0.444090i | −0.926712 | − | 0.375771i | \(-0.877378\pi\) |
0.572563 | + | 0.819861i | \(0.305949\pi\) | |||||||
\(810\) | −1.23548 | − | 4.23886i | −0.0434105 | − | 0.148938i | ||||
\(811\) | −1.35473 | + | 5.93545i | −0.0475709 | + | 0.208422i | −0.993128 | − | 0.117035i | \(-0.962661\pi\) |
0.945557 | + | 0.325457i | \(0.105518\pi\) | |||||||
\(812\) | 4.85289 | − | 4.80378i | 0.170303 | − | 0.168580i | ||||
\(813\) | 2.77844 | + | 12.1731i | 0.0974442 | + | 0.426931i | ||||
\(814\) | 5.43240 | − | 3.02448i | 0.190406 | − | 0.106008i | ||||
\(815\) | −49.2210 | −1.72414 | ||||||||
\(816\) | 1.90181 | + | 2.32487i | 0.0665768 | + | 0.0813866i | ||||
\(817\) | 11.9474 | − | 24.8090i | 0.417986 | − | 0.867956i | ||||
\(818\) | −2.89481 | + | 17.3645i | −0.101215 | + | 0.607136i | ||||
\(819\) | −2.60074 | + | 10.8288i | −0.0908772 | + | 0.378388i | ||||
\(820\) | 5.26170 | − | 0.626020i | 0.183746 | − | 0.0218616i | ||||
\(821\) | −8.59815 | − | 37.6710i | −0.300077 | − | 1.31473i | −0.870010 | − | 0.493034i | \(-0.835888\pi\) |
0.569933 | − | 0.821691i | \(-0.306969\pi\) | |||||||
\(822\) | 10.9106 | − | 26.5740i | 0.380550 | − | 0.926873i | ||||
\(823\) | −13.5469 | + | 28.1304i | −0.472215 | + | 0.980564i | 0.519782 | + | 0.854299i | \(0.326013\pi\) |
−0.991997 | + | 0.126265i | \(0.959701\pi\) | |||||||
\(824\) | 6.67049 | − | 7.60593i | 0.232377 | − | 0.264965i | ||||
\(825\) | 4.65056 | + | 9.65698i | 0.161912 | + | 0.336213i | ||||
\(826\) | 29.8404 | − | 16.1744i | 1.03828 | − | 0.562779i | ||||
\(827\) | −17.0987 | + | 35.5057i | −0.594578 | + | 1.23465i | 0.358951 | + | 0.933356i | \(0.383134\pi\) |
−0.953530 | + | 0.301299i | \(0.902580\pi\) | |||||||
\(828\) | 12.4437 | + | 1.32374i | 0.432450 | + | 0.0460031i | ||||
\(829\) | 42.2857 | + | 9.65144i | 1.46864 | + | 0.335208i | 0.880693 | − | 0.473688i | \(-0.157078\pi\) |
0.587951 | + | 0.808896i | \(0.299935\pi\) | |||||||
\(830\) | −18.3241 | + | 25.9963i | −0.636037 | + | 0.902344i | ||||
\(831\) | 14.9348 | + | 18.7277i | 0.518084 | + | 0.649656i | ||||
\(832\) | −3.14525 | + | 33.5270i | −0.109042 | + | 1.16234i | ||||
\(833\) | −5.09684 | − | 1.28522i | −0.176595 | − | 0.0445302i | ||||
\(834\) | −6.84154 | − | 12.2884i | −0.236903 | − | 0.425513i | ||||
\(835\) | 0.480564 | − | 0.383237i | 0.0166306 | − | 0.0132625i | ||||
\(836\) | −9.81604 | − | 1.04421i | −0.339495 | − | 0.0361148i | ||||
\(837\) | −0.0896601 | + | 0.392827i | −0.00309911 | + | 0.0135781i | ||||
\(838\) | −15.3695 | − | 10.8336i | −0.530932 | − | 0.374239i | ||||
\(839\) | −4.61687 | − | 2.22337i | −0.159392 | − | 0.0767591i | 0.352487 | − | 0.935817i | \(-0.385336\pi\) |
−0.511879 | + | 0.859058i | \(0.671050\pi\) | |||||||
\(840\) | 20.4257 | + | 11.3416i | 0.704753 | + | 0.391323i | ||||
\(841\) | 24.6278 | − | 11.8601i | 0.849233 | − | 0.408969i | ||||
\(842\) | −1.66433 | − | 0.277457i | −0.0573565 | − | 0.00956181i | ||||
\(843\) | 19.2161 | + | 9.25400i | 0.661838 | + | 0.318725i | ||||
\(844\) | −3.37788 | − | 28.3911i | −0.116271 | − | 0.977261i | ||||
\(845\) | −14.3607 | + | 3.27773i | −0.494022 | + | 0.112757i | ||||
\(846\) | 6.86245 | − | 16.7143i | 0.235936 | − | 0.574648i | ||||
\(847\) | −6.93388 | + | 13.9915i | −0.238251 | + | 0.480753i | ||||
\(848\) | −32.6319 | − | 7.02209i | −1.12058 | − | 0.241140i | ||||
\(849\) | 0.322701 | + | 0.155405i | 0.0110751 | + | 0.00533348i | ||||
\(850\) | 3.37089 | + | 3.74850i | 0.115621 | + | 0.128573i | ||||
\(851\) | − | 12.1836i | − | 0.417647i | ||||||
\(852\) | 15.9860 | + | 9.90648i | 0.547670 | + | 0.339390i | ||||
\(853\) | −47.1271 | + | 10.7564i | −1.61360 | + | 0.368294i | −0.931722 | − | 0.363173i | \(-0.881693\pi\) |
−0.681878 | + | 0.731466i | \(0.738836\pi\) | |||||||
\(854\) | 14.8305 | − | 34.9902i | 0.507490 | − | 1.19734i | ||||
\(855\) | 6.65371 | + | 1.51867i | 0.227552 | + | 0.0519373i | ||||
\(856\) | −31.9451 | − | 8.88129i | −1.09186 | − | 0.303556i | ||||
\(857\) | 12.9684 | + | 10.3420i | 0.442993 | + | 0.353275i | 0.819442 | − | 0.573162i | \(-0.194284\pi\) |
−0.376449 | + | 0.926437i | \(0.622855\pi\) | |||||||
\(858\) | −13.2577 | − | 2.21017i | −0.452610 | − | 0.0754540i | ||||
\(859\) | −9.55475 | + | 41.8621i | −0.326004 | + | 1.42832i | 0.500671 | + | 0.865637i | \(0.333087\pi\) |
−0.826675 | + | 0.562679i | \(0.809771\pi\) | |||||||
\(860\) | −55.9610 | − | 55.2691i | −1.90825 | − | 1.88466i | ||||
\(861\) | 1.37993 | + | 1.77109i | 0.0470280 | + | 0.0603587i | ||||
\(862\) | −15.0093 | − | 16.6907i | −0.511220 | − | 0.568487i | ||||
\(863\) | − | 37.9778i | − | 1.29278i | −0.763008 | − | 0.646389i | \(-0.776278\pi\) | ||
0.763008 | − | 0.646389i | \(-0.223722\pi\) | |||||||
\(864\) | 3.20132 | − | 4.66385i | 0.108911 | − | 0.158668i | ||||
\(865\) | −16.8476 | − | 73.8143i | −0.572836 | − | 2.50976i | ||||
\(866\) | 22.5162 | − | 1.33475i | 0.765133 | − | 0.0453566i | ||||
\(867\) | 10.2478 | − | 12.8503i | 0.348032 | − | 0.436419i | ||||
\(868\) | −1.12515 | − | 1.81105i | −0.0381901 | − | 0.0614709i | ||||
\(869\) | 7.55084 | + | 9.46846i | 0.256145 | + | 0.321196i | ||||
\(870\) | −3.80978 | − | 4.23655i | −0.129164 | − | 0.143633i | ||||
\(871\) | −4.63279 | − | 5.80933i | −0.156976 | − | 0.196842i | ||||
\(872\) | −48.3525 | − | 26.1375i | −1.63742 | − | 0.885128i | ||||
\(873\) | 0.118052 | + | 0.0941435i | 0.00399546 | + | 0.00318628i | ||||
\(874\) | −11.1443 | + | 15.8104i | −0.376962 | + | 0.534795i | ||||
\(875\) | −1.87130 | − | 0.927375i | −0.0632613 | − | 0.0313510i | ||||
\(876\) | 7.06855 | + | 11.0957i | 0.238824 | + | 0.374890i | ||||
\(877\) | 20.9404 | − | 10.0844i | 0.707106 | − | 0.340524i | −0.0455282 | − | 0.998963i | \(-0.514497\pi\) |
0.752634 | + | 0.658439i | \(0.228783\pi\) | |||||||
\(878\) | 21.8231 | − | 6.36069i | 0.736492 | − | 0.214663i | ||||
\(879\) | 10.0930 | + | 20.9584i | 0.340430 | + | 0.706910i | ||||
\(880\) | −11.9171 | + | 25.5545i | −0.401724 | + | 0.861441i | ||||
\(881\) | 8.16746i | 0.275169i | 0.990490 | + | 0.137584i | \(0.0439338\pi\) | ||||
−0.990490 | + | 0.137584i | \(0.956066\pi\) | |||||||
\(882\) | 0.362230 | + | 9.89287i | 0.0121969 | + | 0.333110i | ||||
\(883\) | 4.29832i | 0.144650i | 0.997381 | + | 0.0723250i | \(0.0230419\pi\) | ||||
−0.997381 | + | 0.0723250i | \(0.976958\pi\) | |||||||
\(884\) | −6.27733 | + | 0.746856i | −0.211129 | + | 0.0251195i | ||||
\(885\) | −12.2881 | − | 25.5166i | −0.413061 | − | 0.857730i | ||||
\(886\) | 3.26016 | + | 11.1854i | 0.109527 | + | 0.375780i | ||||
\(887\) | −10.9903 | + | 5.29264i | −0.369018 | + | 0.177709i | −0.609197 | − | 0.793019i | \(-0.708508\pi\) |
0.240179 | + | 0.970729i | \(0.422794\pi\) | |||||||
\(888\) | −4.84494 | − | 2.61899i | −0.162586 | − | 0.0878876i | ||||
\(889\) | 26.4265 | + | 0.298778i | 0.886315 | + | 0.0100207i | ||||
\(890\) | −57.4349 | − | 40.4842i | −1.92522 | − | 1.35703i | ||||
\(891\) | 1.76527 | + | 1.40775i | 0.0591387 | + | 0.0471615i | ||||
\(892\) | 25.6046 | − | 16.3115i | 0.857305 | − | 0.546148i | ||||
\(893\) | 17.4133 | + | 21.8356i | 0.582715 | + | 0.730701i | ||||
\(894\) | 17.5700 | − | 15.8001i | 0.587630 | − | 0.528435i | ||||
\(895\) | −17.9738 | − | 22.5385i | −0.600799 | − | 0.753378i | ||||
\(896\) | 5.32257 | + | 29.4562i | 0.177815 | + | 0.984064i | ||||
\(897\) | −16.4211 | + | 20.5914i | −0.548284 | + | 0.687526i | ||||
\(898\) | −0.483158 | − | 8.15053i | −0.0161232 | − | 0.271987i | ||||
\(899\) | 0.115701 | + | 0.506921i | 0.00385885 | + | 0.0169067i | ||||
\(900\) | 5.00118 | − | 8.07034i | 0.166706 | − | 0.269011i | ||||
\(901\) | − | 6.26615i | − | 0.208756i | ||||||
\(902\) | −2.01484 | + | 1.81188i | −0.0670869 | + | 0.0603289i | ||||
\(903\) | 7.78280 | − | 32.4055i | 0.258995 | − | 1.07839i | ||||
\(904\) | −14.7511 | + | 53.0583i | −0.490615 | + | 1.76469i | ||||
\(905\) | −2.88021 | + | 12.6190i | −0.0957416 | + | 0.419471i | ||||
\(906\) | −0.711660 | + | 4.26889i | −0.0236433 | + | 0.141824i | ||||
\(907\) | 29.4100 | + | 23.4537i | 0.976542 | + | 0.778766i | 0.975221 | − | 0.221233i | \(-0.0710082\pi\) |
0.00132062 | + | 0.999999i | \(0.499580\pi\) | |||||||
\(908\) | 9.64200 | + | 9.52279i | 0.319981 | + | 0.316025i | ||||
\(909\) | −2.97955 | − | 0.680063i | −0.0988254 | − | 0.0225563i | ||||
\(910\) | −43.2293 | + | 23.4316i | −1.43304 | + | 0.776749i | ||||
\(911\) | −31.4295 | + | 7.17359i | −1.04131 | + | 0.237672i | −0.708786 | − | 0.705424i | \(-0.750757\pi\) |
−0.332522 | + | 0.943096i | \(0.607899\pi\) | |||||||
\(912\) | 3.89161 | + | 7.83030i | 0.128864 | + | 0.259287i | ||||
\(913\) | − | 16.2646i | − | 0.538279i | ||||||
\(914\) | −25.9836 | + | 23.3661i | −0.859460 | + | 0.772881i | ||||
\(915\) | −28.5698 | − | 13.7585i | −0.944488 | − | 0.454841i | ||||
\(916\) | −7.34400 | + | 2.62116i | −0.242653 | + | 0.0866057i | ||||
\(917\) | 35.7811 | + | 29.2023i | 1.18160 | + | 0.964346i | ||||
\(918\) | 0.982373 | + | 0.403337i | 0.0324231 | + | 0.0133121i | ||||
\(919\) | 42.9856 | − | 9.81119i | 1.41797 | − | 0.323641i | 0.556242 | − | 0.831020i | \(-0.312243\pi\) |
0.861723 | + | 0.507379i | \(0.169385\pi\) | |||||||
\(920\) | 32.3918 | + | 44.7611i | 1.06793 | + | 1.47573i | ||||
\(921\) | 27.3213 | + | 13.1573i | 0.900268 | + | 0.433546i | ||||
\(922\) | −1.94149 | + | 11.6460i | −0.0639396 | + | 0.383541i | ||||
\(923\) | −35.6614 | + | 17.1736i | −1.17381 | + | 0.565277i | ||||
\(924\) | −11.8790 | + | 1.27730i | −0.390791 | + | 0.0420202i | ||||
\(925\) | −8.32825 | − | 4.01067i | −0.273831 | − | 0.131870i | ||||
\(926\) | −24.0877 | + | 34.1731i | −0.791569 | + | 1.12300i | ||||
\(927\) | 0.795904 | − | 3.48708i | 0.0261409 | − | 0.114531i | ||||
\(928\) | 1.11071 | − | 7.21485i | 0.0364609 | − | 0.236839i | ||||
\(929\) | −7.46118 | + | 5.95010i | −0.244794 | + | 0.195216i | −0.738199 | − | 0.674583i | \(-0.764323\pi\) |
0.493405 | + | 0.869800i | \(0.335752\pi\) | |||||||
\(930\) | −1.55436 | + | 0.865388i | −0.0509696 | + | 0.0283772i | ||||
\(931\) | −13.6331 | − | 6.94933i | −0.446806 | − | 0.227755i | ||||
\(932\) | −9.39085 | + | 15.1539i | −0.307607 | + | 0.496382i | ||||
\(933\) | 3.57121 | + | 4.47815i | 0.116916 | + | 0.146608i | ||||
\(934\) | −19.9266 | − | 14.0457i | −0.652019 | − | 0.459590i | ||||
\(935\) | −5.16058 | − | 1.17787i | −0.168769 | − | 0.0385204i | ||||
\(936\) | 4.65852 | + | 10.9564i | 0.152269 | + | 0.358121i | ||||
\(937\) | −1.54894 | + | 3.21640i | −0.0506016 | + | 0.105075i | −0.924737 | − | 0.380608i | \(-0.875715\pi\) |
0.874135 | + | 0.485683i | \(0.161429\pi\) | |||||||
\(938\) | −5.35523 | − | 3.86611i | −0.174855 | − | 0.126233i | ||||
\(939\) | −4.97317 | − | 10.3269i | −0.162293 | − | 0.337006i | ||||
\(940\) | 75.1333 | − | 26.8160i | 2.45058 | − | 0.874642i | ||||
\(941\) | 12.9103 | − | 26.8085i | 0.420863 | − | 0.873931i | −0.577481 | − | 0.816404i | \(-0.695964\pi\) |
0.998344 | − | 0.0575268i | \(-0.0183215\pi\) | |||||||
\(942\) | −23.0981 | − | 9.48347i | −0.752575 | − | 0.308988i | ||||
\(943\) | 1.18153 | + | 5.17662i | 0.0384759 | + | 0.168574i | ||||
\(944\) | 15.3358 | − | 32.8855i | 0.499137 | − | 1.07033i | ||||
\(945\) | 8.25963 | + | 0.0933835i | 0.268686 | + | 0.00303776i | ||||
\(946\) | 39.6741 | + | 6.61401i | 1.28992 | + | 0.215040i | ||||
\(947\) | −11.6069 | + | 24.1021i | −0.377175 | + | 0.783212i | 0.622825 | + | 0.782361i | \(0.285985\pi\) |
−1.00000 | 0.000850266i | \(0.999729\pi\) | ||||||||
\(948\) | 3.48002 | − | 10.1474i | 0.113026 | − | 0.329571i | ||||
\(949\) | −27.6886 | −0.898810 | ||||||||
\(950\) | 7.13887 | + | 12.8225i | 0.231616 | + | 0.416015i | ||||
\(951\) | 1.24478 | + | 5.45372i | 0.0403647 | + | 0.176849i | ||||
\(952\) | −5.19580 | + | 2.14016i | −0.168397 | + | 0.0693630i | ||||
\(953\) | 5.11415 | − | 22.4066i | 0.165664 | − | 0.725820i | −0.822033 | − | 0.569440i | \(-0.807160\pi\) |
0.987697 | − | 0.156380i | \(-0.0499826\pi\) | |||||||
\(954\) | −11.3298 | + | 3.30225i | −0.366815 | + | 0.106914i | ||||
\(955\) | −16.8094 | + | 21.0783i | −0.543940 | + | 0.682079i | ||||
\(956\) | 1.32551 | − | 0.473092i | 0.0428701 | − | 0.0153009i | ||||
\(957\) | 2.84059 | + | 0.648347i | 0.0918233 | + | 0.0209581i | ||||
\(958\) | 10.6443 | − | 3.10245i | 0.343901 | − | 0.100236i | ||||
\(959\) | 41.6361 | + | 33.9808i | 1.34450 | + | 1.09730i | ||||
\(960\) | 24.7628 | − | 3.25911i | 0.799216 | − | 0.105187i | ||||
\(961\) | −30.8376 | −0.994763 | ||||||||
\(962\) | 10.1275 | − | 5.63847i | 0.326524 | − | 0.181791i | ||||
\(963\) | −11.4288 | + | 2.60854i | −0.368287 | + | 0.0840590i | ||||
\(964\) | 22.5810 | + | 35.4461i | 0.727285 | + | 1.14164i | ||||
\(965\) | 21.1890 | + | 16.8977i | 0.682100 | + | 0.543956i | ||||
\(966\) | −9.13613 | + | 21.5552i | −0.293950 | + | 0.693528i | ||||
\(967\) | −9.65982 | + | 7.70345i | −0.310639 | + | 0.247726i | −0.766382 | − | 0.642385i | \(-0.777945\pi\) |
0.455743 | + | 0.890111i | \(0.349374\pi\) | |||||||
\(968\) | 2.94971 | + | 16.4309i | 0.0948071 | + | 0.528108i | ||||
\(969\) | −1.28338 | + | 1.02346i | −0.0412280 | + | 0.0328783i | ||||
\(970\) | 0.0394509 | + | 0.665508i | 0.00126669 | + | 0.0213682i | ||||
\(971\) | −36.7166 | + | 46.0411i | −1.17829 | + | 1.47753i | −0.333243 | + | 0.942841i | \(0.608143\pi\) |
−0.845048 | + | 0.534690i | \(0.820428\pi\) | |||||||
\(972\) | 0.211562 | − | 1.98878i | 0.00678586 | − | 0.0637901i | ||||
\(973\) | 25.7172 | − | 5.56467i | 0.824456 | − | 0.178395i | ||||
\(974\) | −2.08762 | + | 0.123753i | −0.0668916 | + | 0.00396529i | ||||
\(975\) | 8.66993 | + | 18.0033i | 0.277660 | + | 0.576567i | ||||
\(976\) | −9.53247 | − | 39.4932i | −0.305127 | − | 1.26415i | ||||
\(977\) | −4.48104 | + | 2.15796i | −0.143361 | + | 0.0690391i | −0.504189 | − | 0.863593i | \(-0.668209\pi\) |
0.360828 | + | 0.932632i | \(0.382494\pi\) | |||||||
\(978\) | −20.6252 | − | 8.46818i | −0.659522 | − | 0.270783i | ||||
\(979\) | 35.9342 | 1.14846 | ||||||||
\(980\) | −31.4091 | + | 30.3960i | −1.00333 | + | 0.970963i | ||||
\(981\) | −19.4330 | −0.620448 | ||||||||
\(982\) | 15.6469 | + | 6.42423i | 0.499314 | + | 0.205005i | ||||
\(983\) | −5.33909 | + | 2.57117i | −0.170290 | + | 0.0820076i | −0.517087 | − | 0.855933i | \(-0.672984\pi\) |
0.346797 | + | 0.937940i | \(0.387269\pi\) | |||||||
\(984\) | 2.31253 | + | 0.642922i | 0.0737207 | + | 0.0204956i | ||||
\(985\) | −11.8846 | − | 24.6786i | −0.378674 | − | 0.786324i | ||||
\(986\) | 1.36798 | − | 0.0810932i | 0.0435655 | − | 0.00258253i | ||||
\(987\) | 26.1879 | + | 21.3729i | 0.833570 | + | 0.680308i | ||||
\(988\) | −18.2998 | − | 1.94670i | −0.582195 | − | 0.0619327i | ||||
\(989\) | 49.1406 | − | 61.6204i | 1.56258 | − | 1.95941i | ||||
\(990\) | 0.589920 | + | 9.95153i | 0.0187489 | + | 0.316280i | ||||
\(991\) | 48.0460 | − | 38.3154i | 1.52623 | − | 1.21713i | 0.627513 | − | 0.778606i | \(-0.284073\pi\) |
0.898720 | − | 0.438524i | \(-0.144499\pi\) | |||||||
\(992\) | −2.11912 | − | 0.839403i | −0.0672821 | − | 0.0266511i | ||||
\(993\) | 18.9091 | − | 15.0795i | 0.600063 | − | 0.478534i | ||||
\(994\) | −26.4259 | + | 23.2289i | −0.838179 | + | 0.736777i | ||||
\(995\) | −9.95442 | − | 7.93838i | −0.315576 | − | 0.251664i | ||||
\(996\) | −12.1509 | + | 7.74075i | −0.385016 | + | 0.245275i | ||||
\(997\) | 22.8048 | − | 5.20505i | 0.722236 | − | 0.164846i | 0.154425 | − | 0.988005i | \(-0.450648\pi\) |
0.567811 | + | 0.823159i | \(0.307790\pi\) | |||||||
\(998\) | 44.6433 | − | 24.8551i | 1.41316 | − | 0.786774i | ||||
\(999\) | −1.94720 | −0.0616066 |
(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 | 588.2.x.a.139.11 | yes | 168 | |
4.3 | odd | 2 | 588.2.x.b.139.28 | yes | 168 | ||
49.6 | odd | 14 | 588.2.x.b.55.28 | yes | 168 | ||
196.55 | even | 14 | inner | 588.2.x.a.55.11 | ✓ | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.x.a.55.11 | ✓ | 168 | 196.55 | even | 14 | inner | |
588.2.x.a.139.11 | yes | 168 | 1.1 | even | 1 | trivial | |
588.2.x.b.55.28 | yes | 168 | 49.6 | odd | 14 | ||
588.2.x.b.139.28 | yes | 168 | 4.3 | odd | 2 |