Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,2,Mod(9,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.j (of order \(22\), degree \(10\), 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: | \(1.83655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 9.12 | ||
Character | \(\chi\) | \(=\) | 230.9 |
Dual form | 230.2.j.a.179.12 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.281733 | + | 0.959493i | 0.199215 | + | 0.678464i | ||||
\(3\) | 1.95972 | − | 1.69811i | 1.13145 | − | 0.980403i | 0.131505 | − | 0.991316i | \(-0.458019\pi\) |
0.999940 | + | 0.0109124i | \(0.00347359\pi\) | |||||||
\(4\) | −0.841254 | + | 0.540641i | −0.420627 | + | 0.270320i | ||||
\(5\) | −0.542800 | − | 2.16919i | −0.242748 | − | 0.970089i | ||||
\(6\) | 2.18144 | + | 1.40193i | 0.890569 | + | 0.572334i | ||||
\(7\) | −0.748675 | − | 0.341908i | −0.282972 | − | 0.129229i | 0.268873 | − | 0.963176i | \(-0.413349\pi\) |
−0.551845 | + | 0.833946i | \(0.686076\pi\) | |||||||
\(8\) | −0.755750 | − | 0.654861i | −0.267198 | − | 0.231528i | ||||
\(9\) | 0.529991 | − | 3.68617i | 0.176664 | − | 1.22872i | ||||
\(10\) | 1.92839 | − | 1.13194i | 0.609812 | − | 0.357952i | ||||
\(11\) | 4.65913 | + | 1.36805i | 1.40478 | + | 0.412481i | 0.894323 | − | 0.447421i | \(-0.147658\pi\) |
0.510458 | + | 0.859902i | \(0.329476\pi\) | |||||||
\(12\) | −0.730556 | + | 2.48804i | −0.210893 | + | 0.718237i | ||||
\(13\) | −1.40114 | + | 0.639880i | −0.388607 | + | 0.177471i | −0.600131 | − | 0.799902i | \(-0.704885\pi\) |
0.211524 | + | 0.977373i | \(0.432157\pi\) | |||||||
\(14\) | 0.117133 | − | 0.814675i | 0.0313050 | − | 0.217731i | ||||
\(15\) | −4.74725 | − | 3.32927i | −1.22573 | − | 0.859613i | ||||
\(16\) | 0.415415 | − | 0.909632i | 0.103854 | − | 0.227408i | ||||
\(17\) | −2.11270 | + | 3.28743i | −0.512406 | + | 0.797320i | −0.996999 | − | 0.0774206i | \(-0.975332\pi\) |
0.484592 | + | 0.874740i | \(0.338968\pi\) | |||||||
\(18\) | 3.68617 | − | 0.529991i | 0.868839 | − | 0.124920i | ||||
\(19\) | 4.15438 | − | 2.66986i | 0.953081 | − | 0.612508i | 0.0310058 | − | 0.999519i | \(-0.490129\pi\) |
0.922075 | + | 0.387011i | \(0.126493\pi\) | |||||||
\(20\) | 1.62938 | + | 1.53138i | 0.364341 | + | 0.342426i | ||||
\(21\) | −2.04779 | + | 0.601286i | −0.446865 | + | 0.131211i | ||||
\(22\) | 4.85583i | 1.03527i | ||||||||
\(23\) | −4.76216 | + | 0.567295i | −0.992979 | + | 0.118289i | ||||
\(24\) | −2.59308 | −0.529311 | ||||||||
\(25\) | −4.41074 | + | 2.35487i | −0.882147 | + | 0.470974i | ||||
\(26\) | −1.00871 | − | 1.16411i | −0.197824 | − | 0.228301i | ||||
\(27\) | −1.01510 | − | 1.57953i | −0.195357 | − | 0.303981i | ||||
\(28\) | 0.814675 | − | 0.117133i | 0.153959 | − | 0.0221360i | ||||
\(29\) | 3.23027 | + | 2.07597i | 0.599846 | + | 0.385498i | 0.805037 | − | 0.593224i | \(-0.202145\pi\) |
−0.205191 | + | 0.978722i | \(0.565782\pi\) | |||||||
\(30\) | 1.85695 | − | 5.49291i | 0.339032 | − | 1.00286i | ||||
\(31\) | −5.44700 | + | 6.28618i | −0.978311 | + | 1.12903i | 0.0133182 | + | 0.999911i | \(0.495761\pi\) |
−0.991629 | + | 0.129120i | \(0.958785\pi\) | |||||||
\(32\) | 0.989821 | + | 0.142315i | 0.174977 | + | 0.0251579i | ||||
\(33\) | 11.4537 | − | 5.23073i | 1.99383 | − | 0.910552i | ||||
\(34\) | −3.74949 | − | 1.10095i | −0.643032 | − | 0.188811i | ||||
\(35\) | −0.335282 | + | 1.80960i | −0.0566729 | + | 0.305879i | ||||
\(36\) | 1.54704 | + | 3.38754i | 0.257840 | + | 0.564590i | ||||
\(37\) | 4.74986 | + | 0.682927i | 0.780873 | + | 0.112273i | 0.521212 | − | 0.853427i | \(-0.325480\pi\) |
0.259661 | + | 0.965700i | \(0.416389\pi\) | |||||||
\(38\) | 3.73214 | + | 3.23391i | 0.605432 | + | 0.524610i | ||||
\(39\) | −1.65926 | + | 3.63328i | −0.265695 | + | 0.581790i | ||||
\(40\) | −1.01029 | + | 1.99482i | −0.159741 | + | 0.315409i | ||||
\(41\) | 0.536960 | + | 3.73464i | 0.0838590 | + | 0.583252i | 0.987816 | + | 0.155628i | \(0.0497402\pi\) |
−0.903957 | + | 0.427624i | \(0.859351\pi\) | |||||||
\(42\) | −1.15386 | − | 1.79544i | −0.178044 | − | 0.277042i | ||||
\(43\) | −0.999683 | + | 0.866230i | −0.152450 | + | 0.132099i | −0.727746 | − | 0.685846i | \(-0.759432\pi\) |
0.575296 | + | 0.817945i | \(0.304887\pi\) | |||||||
\(44\) | −4.65913 | + | 1.36805i | −0.702391 | + | 0.206241i | ||||
\(45\) | −8.28367 | + | 0.851205i | −1.23486 | + | 0.126890i | ||||
\(46\) | −1.88597 | − | 4.40943i | −0.278071 | − | 0.650136i | ||||
\(47\) | 6.16285i | 0.898944i | 0.893295 | + | 0.449472i | \(0.148388\pi\) | ||||
−0.893295 | + | 0.449472i | \(0.851612\pi\) | |||||||
\(48\) | −0.730556 | − | 2.48804i | −0.105447 | − | 0.359118i | ||||
\(49\) | −4.14041 | − | 4.77829i | −0.591488 | − | 0.682613i | ||||
\(50\) | −3.50213 | − | 3.56863i | −0.495276 | − | 0.504680i | ||||
\(51\) | 1.44210 | + | 10.0301i | 0.201935 | + | 1.40449i | ||||
\(52\) | 0.832770 | − | 1.29582i | 0.115484 | − | 0.179697i | ||||
\(53\) | −5.78267 | − | 2.64086i | −0.794311 | − | 0.362750i | −0.0234273 | − | 0.999726i | \(-0.507458\pi\) |
−0.770884 | + | 0.636976i | \(0.780185\pi\) | |||||||
\(54\) | 1.22956 | − | 1.41899i | 0.167322 | − | 0.193100i | ||||
\(55\) | 0.438565 | − | 10.8491i | 0.0591360 | − | 1.46289i | ||||
\(56\) | 0.341908 | + | 0.748675i | 0.0456894 | + | 0.100046i | ||||
\(57\) | 3.60772 | − | 12.2868i | 0.477854 | − | 1.62742i | ||||
\(58\) | −1.08181 | + | 3.68429i | −0.142048 | + | 0.483771i | ||||
\(59\) | 0.542072 | + | 1.18697i | 0.0705718 | + | 0.154531i | 0.941630 | − | 0.336648i | \(-0.109293\pi\) |
−0.871059 | + | 0.491179i | \(0.836566\pi\) | |||||||
\(60\) | 5.79358 | + | 0.234200i | 0.747948 | + | 0.0302351i | ||||
\(61\) | 8.65101 | − | 9.98380i | 1.10765 | − | 1.27829i | 0.150527 | − | 0.988606i | \(-0.451903\pi\) |
0.957121 | − | 0.289688i | \(-0.0935517\pi\) | |||||||
\(62\) | −7.56614 | − | 3.45534i | −0.960901 | − | 0.438829i | ||||
\(63\) | −1.65712 | + | 2.57853i | −0.208778 | + | 0.324865i | ||||
\(64\) | 0.142315 | + | 0.989821i | 0.0177894 | + | 0.123728i | ||||
\(65\) | 2.14856 | + | 2.69201i | 0.266496 | + | 0.333903i | ||||
\(66\) | 8.24572 | + | 9.51607i | 1.01498 | + | 1.17135i | ||||
\(67\) | −4.59599 | − | 15.6525i | −0.561490 | − | 1.91226i | −0.361010 | − | 0.932562i | \(-0.617568\pi\) |
−0.200480 | − | 0.979698i | \(-0.564250\pi\) | |||||||
\(68\) | − | 3.90778i | − | 0.473888i | ||||||
\(69\) | −8.36918 | + | 9.19840i | −1.00753 | + | 1.10736i | ||||
\(70\) | −1.83076 | + | 0.188123i | −0.218818 | + | 0.0224851i | ||||
\(71\) | −9.62477 | + | 2.82609i | −1.14225 | + | 0.335395i | −0.797511 | − | 0.603304i | \(-0.793851\pi\) |
−0.344739 | + | 0.938699i | \(0.612032\pi\) | |||||||
\(72\) | −2.81447 | + | 2.43875i | −0.331688 | + | 0.287410i | ||||
\(73\) | 3.34358 | + | 5.20271i | 0.391336 | + | 0.608931i | 0.979893 | − | 0.199525i | \(-0.0639398\pi\) |
−0.588556 | + | 0.808456i | \(0.700303\pi\) | |||||||
\(74\) | 0.682927 | + | 4.74986i | 0.0793887 | + | 0.552160i | ||||
\(75\) | −4.64499 | + | 12.1048i | −0.536357 | + | 1.39774i | ||||
\(76\) | −2.05145 | + | 4.49206i | −0.235318 | + | 0.515274i | ||||
\(77\) | −3.02043 | − | 2.61722i | −0.344210 | − | 0.298260i | ||||
\(78\) | −3.95357 | − | 0.568438i | −0.447654 | − | 0.0643629i | ||||
\(79\) | −2.95556 | − | 6.47177i | −0.332526 | − | 0.728131i | 0.667335 | − | 0.744757i | \(-0.267435\pi\) |
−0.999862 | + | 0.0166262i | \(0.994707\pi\) | |||||||
\(80\) | −2.19865 | − | 0.407364i | −0.245816 | − | 0.0455447i | ||||
\(81\) | 6.04814 | + | 1.77590i | 0.672016 | + | 0.197322i | ||||
\(82\) | −3.43208 | + | 1.56738i | −0.379010 | + | 0.173088i | ||||
\(83\) | −11.8009 | − | 1.69671i | −1.29531 | − | 0.186238i | −0.540035 | − | 0.841643i | \(-0.681589\pi\) |
−0.755278 | + | 0.655405i | \(0.772498\pi\) | |||||||
\(84\) | 1.39763 | − | 1.61295i | 0.152494 | − | 0.175988i | ||||
\(85\) | 8.27783 | + | 2.79843i | 0.897857 | + | 0.303532i | ||||
\(86\) | −1.11278 | − | 0.715143i | −0.119995 | − | 0.0771159i | ||||
\(87\) | 9.85565 | − | 1.41703i | 1.05664 | − | 0.151921i | ||||
\(88\) | −2.62526 | − | 4.08498i | −0.279854 | − | 0.435461i | ||||
\(89\) | 3.58733 | + | 4.14000i | 0.380256 | + | 0.438839i | 0.913324 | − | 0.407234i | \(-0.133506\pi\) |
−0.533068 | + | 0.846072i | \(0.678961\pi\) | |||||||
\(90\) | −3.15051 | − | 7.70831i | −0.332092 | − | 0.812527i | ||||
\(91\) | 1.26778 | 0.132899 | ||||||||
\(92\) | 3.69948 | − | 3.05186i | 0.385698 | − | 0.318178i | ||||
\(93\) | 21.5688i | 2.23658i | ||||||||
\(94\) | −5.91321 | + | 1.73627i | −0.609901 | + | 0.179083i | ||||
\(95\) | −8.04642 | − | 7.56243i | −0.825545 | − | 0.775889i | ||||
\(96\) | 2.18144 | − | 1.40193i | 0.222642 | − | 0.143084i | ||||
\(97\) | 11.2508 | − | 1.61762i | 1.14235 | − | 0.164245i | 0.454943 | − | 0.890520i | \(-0.349660\pi\) |
0.687403 | + | 0.726276i | \(0.258750\pi\) | |||||||
\(98\) | 3.41825 | − | 5.31890i | 0.345295 | − | 0.537290i | ||||
\(99\) | 7.51215 | − | 16.4493i | 0.755000 | − | 1.65322i | ||||
\(100\) | 2.43741 | − | 4.36567i | 0.243741 | − | 0.436567i | ||||
\(101\) | 1.24825 | − | 8.68177i | 0.124206 | − | 0.863868i | −0.828503 | − | 0.559984i | \(-0.810807\pi\) |
0.952709 | − | 0.303884i | \(-0.0982837\pi\) | |||||||
\(102\) | −9.21748 | + | 4.20948i | −0.912666 | + | 0.416801i | ||||
\(103\) | 0.711708 | − | 2.42386i | 0.0701267 | − | 0.238830i | −0.916970 | − | 0.398957i | \(-0.869372\pi\) |
0.987096 | + | 0.160127i | \(0.0511905\pi\) | |||||||
\(104\) | 1.47794 | + | 0.433964i | 0.144924 | + | 0.0425536i | ||||
\(105\) | 2.41584 | + | 4.11566i | 0.235762 | + | 0.401647i | ||||
\(106\) | 0.904718 | − | 6.29245i | 0.0878739 | − | 0.611177i | ||||
\(107\) | 10.6370 | + | 9.21698i | 1.02831 | + | 0.891039i | 0.994110 | − | 0.108376i | \(-0.0345651\pi\) |
0.0342037 | + | 0.999415i | \(0.489111\pi\) | |||||||
\(108\) | 1.70792 | + | 0.779980i | 0.164345 | + | 0.0750536i | ||||
\(109\) | −0.000631598 | 0 | 0.000405903i | −6.04961e−5 | 0 | 3.88785e-5i | 0.540611 | − | 0.841273i | \(-0.318193\pi\) |
−0.540671 | + | 0.841234i | \(0.681830\pi\) | |||||||
\(110\) | 10.5332 | − | 2.63575i | 1.00430 | − | 0.251309i | ||||
\(111\) | 10.4681 | − | 6.72743i | 0.993587 | − | 0.638540i | ||||
\(112\) | −0.622021 | + | 0.538985i | −0.0587755 | + | 0.0509293i | ||||
\(113\) | 1.28201 | + | 4.36614i | 0.120602 | + | 0.410732i | 0.997558 | − | 0.0698376i | \(-0.0222481\pi\) |
−0.876957 | + | 0.480570i | \(0.840430\pi\) | |||||||
\(114\) | 12.8055 | 1.19934 | ||||||||
\(115\) | 3.81547 | + | 10.0221i | 0.355795 | + | 0.934564i | ||||
\(116\) | −3.83983 | −0.356519 | ||||||||
\(117\) | 1.61611 | + | 5.50398i | 0.149410 | + | 0.508843i | ||||
\(118\) | −0.986172 | + | 0.854523i | −0.0907845 | + | 0.0786652i | ||||
\(119\) | 2.70573 | − | 1.73887i | 0.248034 | − | 0.159402i | ||||
\(120\) | 1.40753 | + | 5.62488i | 0.128489 | + | 0.513479i | ||||
\(121\) | 10.5822 | + | 6.80076i | 0.962018 | + | 0.618251i | ||||
\(122\) | 12.0167 | + | 5.48782i | 1.08794 | + | 0.496844i | ||||
\(123\) | 7.39411 | + | 6.40703i | 0.666704 | + | 0.577702i | ||||
\(124\) | 1.18375 | − | 8.23314i | 0.106304 | − | 0.739358i | ||||
\(125\) | 7.50230 | + | 8.28948i | 0.671026 | + | 0.741434i | ||||
\(126\) | −2.94095 | − | 0.863541i | −0.262001 | − | 0.0769304i | ||||
\(127\) | 5.13644 | − | 17.4931i | 0.455785 | − | 1.55226i | −0.336241 | − | 0.941776i | \(-0.609156\pi\) |
0.792027 | − | 0.610487i | \(-0.209026\pi\) | |||||||
\(128\) | −0.909632 | + | 0.415415i | −0.0804009 | + | 0.0367178i | ||||
\(129\) | −0.488147 | + | 3.39514i | −0.0429790 | + | 0.298925i | ||||
\(130\) | −1.97765 | + | 2.81995i | −0.173451 | + | 0.247326i | ||||
\(131\) | −8.14822 | + | 17.8421i | −0.711914 | + | 1.55887i | 0.112988 | + | 0.993596i | \(0.463958\pi\) |
−0.824901 | + | 0.565277i | \(0.808769\pi\) | |||||||
\(132\) | −6.80751 | + | 10.5927i | −0.592518 | + | 0.921976i | ||||
\(133\) | −4.02313 | + | 0.578438i | −0.348849 | + | 0.0501570i | ||||
\(134\) | 13.7236 | − | 8.81965i | 1.18554 | − | 0.761902i | ||||
\(135\) | −2.87530 | + | 3.05932i | −0.247466 | + | 0.263304i | ||||
\(136\) | 3.74949 | − | 1.10095i | 0.321516 | − | 0.0944056i | ||||
\(137\) | − | 17.6600i | − | 1.50880i | −0.656416 | − | 0.754399i | \(-0.727928\pi\) | ||
0.656416 | − | 0.754399i | \(-0.272072\pi\) | |||||||
\(138\) | −11.1837 | − | 5.43868i | −0.952018 | − | 0.462971i | ||||
\(139\) | 0.370257 | 0.0314048 | 0.0157024 | − | 0.999877i | \(-0.495002\pi\) | ||||
0.0157024 | + | 0.999877i | \(0.495002\pi\) | |||||||
\(140\) | −0.696288 | − | 1.70360i | −0.0588471 | − | 0.143981i | ||||
\(141\) | 10.4652 | + | 12.0775i | 0.881327 | + | 1.01711i | ||||
\(142\) | −5.42322 | − | 8.43870i | −0.455107 | − | 0.708160i | ||||
\(143\) | −7.40349 | + | 1.06446i | −0.619111 | + | 0.0890148i | ||||
\(144\) | −3.13289 | − | 2.01339i | −0.261074 | − | 0.167782i | ||||
\(145\) | 2.74977 | − | 8.13389i | 0.228356 | − | 0.675483i | ||||
\(146\) | −4.04997 | + | 4.67392i | −0.335178 | + | 0.386816i | ||||
\(147\) | −16.2281 | − | 2.33325i | −1.33847 | − | 0.192443i | ||||
\(148\) | −4.36506 | + | 1.99345i | −0.358805 | + | 0.163861i | ||||
\(149\) | −0.922676 | − | 0.270922i | −0.0755886 | − | 0.0221948i | 0.243720 | − | 0.969846i | \(-0.421632\pi\) |
−0.319308 | + | 0.947651i | \(0.603451\pi\) | |||||||
\(150\) | −12.9231 | − | 1.04652i | −1.05517 | − | 0.0854479i | ||||
\(151\) | −8.48941 | − | 18.5892i | −0.690859 | − | 1.51277i | −0.850714 | − | 0.525629i | \(-0.823830\pi\) |
0.159855 | − | 0.987140i | \(-0.448897\pi\) | |||||||
\(152\) | −4.88806 | − | 0.702797i | −0.396474 | − | 0.0570043i | ||||
\(153\) | 10.9983 | + | 9.53010i | 0.889162 | + | 0.770463i | ||||
\(154\) | 1.66025 | − | 3.63544i | 0.133787 | − | 0.292952i | ||||
\(155\) | 16.5925 | + | 8.40342i | 1.33274 | + | 0.674979i | ||||
\(156\) | −0.568438 | − | 3.95357i | −0.0455114 | − | 0.316539i | ||||
\(157\) | 10.4562 | + | 16.2702i | 0.834498 | + | 1.29850i | 0.952206 | + | 0.305457i | \(0.0988091\pi\) |
−0.117708 | + | 0.993048i | \(0.537555\pi\) | |||||||
\(158\) | 5.37694 | − | 4.65915i | 0.427766 | − | 0.370662i | ||||
\(159\) | −15.8169 | + | 4.64426i | −1.25436 | + | 0.368314i | ||||
\(160\) | −0.228568 | − | 2.22436i | −0.0180699 | − | 0.175851i | ||||
\(161\) | 3.75927 | + | 1.20350i | 0.296272 | + | 0.0948493i | ||||
\(162\) | 6.30348i | 0.495248i | ||||||||
\(163\) | −5.64839 | − | 19.2366i | −0.442416 | − | 1.50673i | −0.815403 | − | 0.578894i | \(-0.803485\pi\) |
0.372987 | − | 0.927837i | \(-0.378334\pi\) | |||||||
\(164\) | −2.47082 | − | 2.85147i | −0.192938 | − | 0.222663i | ||||
\(165\) | −17.5635 | − | 22.0059i | −1.36732 | − | 1.71316i | ||||
\(166\) | −1.69671 | − | 11.8009i | −0.131690 | − | 0.915924i | ||||
\(167\) | −6.42298 | + | 9.99436i | −0.497025 | + | 0.773387i | −0.995624 | − | 0.0934462i | \(-0.970212\pi\) |
0.498599 | + | 0.866833i | \(0.333848\pi\) | |||||||
\(168\) | 1.94138 | + | 0.886596i | 0.149780 | + | 0.0684024i | ||||
\(169\) | −6.95944 | + | 8.03162i | −0.535341 | + | 0.617817i | ||||
\(170\) | −0.352939 | + | 8.73093i | −0.0270692 | + | 0.669632i | ||||
\(171\) | −7.63977 | − | 16.7288i | −0.584228 | − | 1.27928i | ||||
\(172\) | 0.372667 | − | 1.26919i | 0.0284156 | − | 0.0967747i | ||||
\(173\) | −1.47201 | + | 5.01320i | −0.111915 | + | 0.381147i | −0.996334 | − | 0.0855462i | \(-0.972736\pi\) |
0.884419 | + | 0.466693i | \(0.154555\pi\) | |||||||
\(174\) | 4.13629 | + | 9.05720i | 0.313571 | + | 0.686625i | ||||
\(175\) | 4.10736 | − | 0.254965i | 0.310487 | − | 0.0192735i | ||||
\(176\) | 3.17989 | − | 3.66979i | 0.239693 | − | 0.276621i | ||||
\(177\) | 3.07792 | + | 1.40564i | 0.231350 | + | 0.105654i | ||||
\(178\) | −2.96163 | + | 4.60839i | −0.221984 | + | 0.345413i | ||||
\(179\) | −0.489136 | − | 3.40201i | −0.0365597 | − | 0.254278i | 0.963342 | − | 0.268275i | \(-0.0864536\pi\) |
−0.999902 | + | 0.0139968i | \(0.995545\pi\) | |||||||
\(180\) | 6.50847 | − | 5.19457i | 0.485113 | − | 0.387180i | ||||
\(181\) | −2.33877 | − | 2.69908i | −0.173839 | − | 0.200621i | 0.662143 | − | 0.749377i | \(-0.269647\pi\) |
−0.835983 | + | 0.548756i | \(0.815102\pi\) | |||||||
\(182\) | 0.357175 | + | 1.21643i | 0.0264756 | + | 0.0901675i | ||||
\(183\) | − | 34.2558i | − | 2.53226i | ||||||
\(184\) | 3.97050 | + | 2.68982i | 0.292709 | + | 0.198296i | ||||
\(185\) | −1.09683 | − | 10.6740i | −0.0806406 | − | 0.784770i | ||||
\(186\) | −20.6951 | + | 6.07662i | −1.51744 | + | 0.445559i | ||||
\(187\) | −14.3407 | + | 12.4263i | −1.04870 | + | 0.908702i | ||||
\(188\) | −3.33189 | − | 5.18452i | −0.243003 | − | 0.378120i | ||||
\(189\) | 0.219927 | + | 1.52963i | 0.0159974 | + | 0.111264i | ||||
\(190\) | 4.98916 | − | 9.85107i | 0.361951 | − | 0.714672i | ||||
\(191\) | −2.15349 | + | 4.71548i | −0.155821 | + | 0.341200i | −0.971401 | − | 0.237444i | \(-0.923691\pi\) |
0.815580 | + | 0.578644i | \(0.196418\pi\) | |||||||
\(192\) | 1.95972 | + | 1.69811i | 0.141431 | + | 0.122550i | ||||
\(193\) | −16.4760 | − | 2.36889i | −1.18597 | − | 0.170516i | −0.479033 | − | 0.877797i | \(-0.659013\pi\) |
−0.706933 | + | 0.707281i | \(0.749922\pi\) | |||||||
\(194\) | 4.72182 | + | 10.3393i | 0.339007 | + | 0.742321i | ||||
\(195\) | 8.78190 | + | 1.62710i | 0.628885 | + | 0.116519i | ||||
\(196\) | 6.06648 | + | 1.78128i | 0.433320 | + | 0.127234i | ||||
\(197\) | −0.639181 | + | 0.291904i | −0.0455398 | + | 0.0207973i | −0.438055 | − | 0.898948i | \(-0.644332\pi\) |
0.392515 | + | 0.919746i | \(0.371605\pi\) | |||||||
\(198\) | 17.8994 | + | 2.57355i | 1.27206 | + | 0.182894i | ||||
\(199\) | −16.5808 | + | 19.1353i | −1.17538 | + | 1.35646i | −0.254284 | + | 0.967130i | \(0.581840\pi\) |
−0.921097 | + | 0.389333i | \(0.872706\pi\) | |||||||
\(200\) | 4.87552 | + | 1.10873i | 0.344752 | + | 0.0783987i | ||||
\(201\) | −35.5865 | − | 22.8701i | −2.51008 | − | 1.61313i | ||||
\(202\) | 8.68177 | − | 1.24825i | 0.610847 | − | 0.0878266i | ||||
\(203\) | −1.70863 | − | 2.65868i | −0.119922 | − | 0.186603i | ||||
\(204\) | −6.63583 | − | 7.65816i | −0.464601 | − | 0.536178i | ||||
\(205\) | 7.80966 | − | 3.19193i | 0.545450 | − | 0.222934i | ||||
\(206\) | 2.52618 | 0.176008 | ||||||||
\(207\) | −0.432758 | + | 17.8548i | −0.0300788 | + | 1.24099i | ||||
\(208\) | 1.54034i | 0.106803i | ||||||||
\(209\) | 23.0083 | − | 6.75585i | 1.59152 | − | 0.467312i | ||||
\(210\) | −3.26833 | + | 3.47750i | −0.225536 | + | 0.239970i | ||||
\(211\) | −3.12062 | + | 2.00550i | −0.214832 | + | 0.138064i | −0.643632 | − | 0.765335i | \(-0.722573\pi\) |
0.428799 | + | 0.903400i | \(0.358937\pi\) | |||||||
\(212\) | 6.29245 | − | 0.904718i | 0.432167 | − | 0.0621363i | ||||
\(213\) | −14.0629 | + | 21.8822i | −0.963571 | + | 1.49935i | ||||
\(214\) | −5.84685 | + | 12.8028i | −0.399682 | + | 0.875182i | ||||
\(215\) | 2.42164 | + | 1.69831i | 0.165155 | + | 0.115824i | ||||
\(216\) | −0.267209 | + | 1.85848i | −0.0181813 | + | 0.126454i | ||||
\(217\) | 6.22733 | − | 2.84393i | 0.422739 | − | 0.193058i | ||||
\(218\) | 0.000211520 | 0 | 0.000720370i | 1.43259e−5 | 0 | 4.87896e-5i | ||||
\(219\) | 15.3873 | + | 4.51811i | 1.03977 | + | 0.305305i | ||||
\(220\) | 5.49652 | + | 9.36395i | 0.370576 | + | 0.631318i | ||||
\(221\) | 0.856636 | − | 5.95804i | 0.0576236 | − | 0.400781i | ||||
\(222\) | 9.40413 | + | 8.14872i | 0.631164 | + | 0.546906i | ||||
\(223\) | 14.6384 | + | 6.68515i | 0.980262 | + | 0.447670i | 0.840084 | − | 0.542456i | \(-0.182505\pi\) |
0.140177 | + | 0.990126i | \(0.455233\pi\) | |||||||
\(224\) | −0.692396 | − | 0.444976i | −0.0462626 | − | 0.0297312i | ||||
\(225\) | 6.34280 | + | 17.5068i | 0.422854 | + | 1.16712i | ||||
\(226\) | −3.82810 | + | 2.46017i | −0.254641 | + | 0.163648i | ||||
\(227\) | 2.71777 | − | 2.35496i | 0.180385 | − | 0.156304i | −0.559988 | − | 0.828501i | \(-0.689194\pi\) |
0.740373 | + | 0.672196i | \(0.234649\pi\) | |||||||
\(228\) | 3.60772 | + | 12.2868i | 0.238927 | + | 0.813711i | ||||
\(229\) | −16.9260 | −1.11850 | −0.559251 | − | 0.828998i | \(-0.688911\pi\) | ||||
−0.559251 | + | 0.828998i | \(0.688911\pi\) | |||||||
\(230\) | −8.54118 | + | 6.48447i | −0.563189 | + | 0.427573i | ||||
\(231\) | −10.3635 | −0.681869 | ||||||||
\(232\) | −1.08181 | − | 3.68429i | −0.0710240 | − | 0.241885i | ||||
\(233\) | 17.4851 | − | 15.1509i | 1.14548 | − | 0.992568i | 0.145490 | − | 0.989360i | \(-0.453524\pi\) |
0.999995 | − | 0.00320806i | \(-0.00102116\pi\) | |||||||
\(234\) | −4.82572 | + | 3.10130i | −0.315467 | + | 0.202738i | ||||
\(235\) | 13.3684 | − | 3.34520i | 0.872056 | − | 0.218217i | ||||
\(236\) | −1.09775 | − | 0.705478i | −0.0714572 | − | 0.0459227i | ||||
\(237\) | −16.7818 | − | 7.66401i | −1.09010 | − | 0.497831i | ||||
\(238\) | 2.43072 | + | 2.10623i | 0.157560 | + | 0.136527i | ||||
\(239\) | 1.86242 | − | 12.9534i | 0.120470 | − | 0.837888i | −0.836555 | − | 0.547883i | \(-0.815434\pi\) |
0.957025 | − | 0.290005i | \(-0.0936570\pi\) | |||||||
\(240\) | −5.00049 | + | 2.93522i | −0.322780 | + | 0.189468i | ||||
\(241\) | 0.584949 | + | 0.171757i | 0.0376799 | + | 0.0110638i | 0.300518 | − | 0.953776i | \(-0.402840\pi\) |
−0.262838 | + | 0.964840i | \(0.584659\pi\) | |||||||
\(242\) | −3.54394 | + | 12.0695i | −0.227813 | + | 0.775859i | ||||
\(243\) | 19.9921 | − | 9.13008i | 1.28249 | − | 0.585695i | ||||
\(244\) | −1.88004 | + | 13.0760i | −0.120357 | + | 0.837105i | ||||
\(245\) | −8.11758 | + | 11.5750i | −0.518613 | + | 0.739499i | ||||
\(246\) | −4.06434 | + | 8.89966i | −0.259133 | + | 0.567422i | ||||
\(247\) | −4.11249 | + | 6.39916i | −0.261671 | + | 0.407169i | ||||
\(248\) | 8.23314 | − | 1.18375i | 0.522805 | − | 0.0751680i | ||||
\(249\) | −26.0076 | + | 16.7141i | −1.64816 | + | 1.05921i | ||||
\(250\) | −5.84006 | + | 9.53382i | −0.369358 | + | 0.602972i | ||||
\(251\) | −10.6634 | + | 3.13106i | −0.673068 | + | 0.197630i | −0.600369 | − | 0.799723i | \(-0.704979\pi\) |
−0.0726991 | + | 0.997354i | \(0.523161\pi\) | |||||||
\(252\) | − | 3.06511i | − | 0.193084i | ||||||
\(253\) | −22.9636 | − | 3.87175i | −1.44371 | − | 0.243415i | ||||
\(254\) | 18.2316 | 1.14395 | ||||||||
\(255\) | 20.9743 | − | 8.57251i | 1.31346 | − | 0.536831i | ||||
\(256\) | −0.654861 | − | 0.755750i | −0.0409288 | − | 0.0472343i | ||||
\(257\) | 4.48404 | + | 6.97731i | 0.279707 | + | 0.435233i | 0.952473 | − | 0.304623i | \(-0.0985303\pi\) |
−0.672766 | + | 0.739855i | \(0.734894\pi\) | |||||||
\(258\) | −3.39514 | + | 0.488147i | −0.211372 | + | 0.0303907i | ||||
\(259\) | −3.32260 | − | 2.13531i | −0.206456 | − | 0.132682i | ||||
\(260\) | −3.26289 | − | 1.10306i | −0.202356 | − | 0.0684091i | ||||
\(261\) | 9.36439 | − | 10.8071i | 0.579641 | − | 0.668942i | ||||
\(262\) | −19.4150 | − | 2.79146i | −1.19946 | − | 0.172457i | ||||
\(263\) | 3.66223 | − | 1.67248i | 0.225823 | − | 0.103130i | −0.299291 | − | 0.954162i | \(-0.596750\pi\) |
0.525114 | + | 0.851032i | \(0.324023\pi\) | |||||||
\(264\) | −12.0815 | − | 3.54745i | −0.743566 | − | 0.218331i | ||||
\(265\) | −2.58967 | + | 13.9771i | −0.159082 | + | 0.858609i | ||||
\(266\) | −1.68845 | − | 3.69720i | −0.103526 | − | 0.226690i | ||||
\(267\) | 14.0603 | + | 2.02157i | 0.860478 | + | 0.123718i | ||||
\(268\) | 12.3288 | + | 10.6830i | 0.753101 | + | 0.652565i | ||||
\(269\) | 6.96519 | − | 15.2516i | 0.424675 | − | 0.929909i | −0.569486 | − | 0.822001i | \(-0.692858\pi\) |
0.994161 | − | 0.107908i | \(-0.0344151\pi\) | |||||||
\(270\) | −3.74546 | − | 1.89692i | −0.227941 | − | 0.115443i | ||||
\(271\) | 1.43396 | + | 9.97339i | 0.0871067 | + | 0.605840i | 0.985883 | + | 0.167433i | \(0.0535479\pi\) |
−0.898777 | + | 0.438407i | \(0.855543\pi\) | |||||||
\(272\) | 2.11270 | + | 3.28743i | 0.128102 | + | 0.199330i | ||||
\(273\) | 2.48449 | − | 2.15283i | 0.150368 | − | 0.130295i | ||||
\(274\) | 16.9447 | − | 4.97541i | 1.02367 | − | 0.300575i | ||||
\(275\) | −23.7718 | + | 4.93757i | −1.43349 | + | 0.297747i | ||||
\(276\) | 2.06757 | − | 12.2629i | 0.124453 | − | 0.738140i | ||||
\(277\) | − | 20.5207i | − | 1.23297i | −0.787367 | − | 0.616485i | \(-0.788556\pi\) | ||
0.787367 | − | 0.616485i | \(-0.211444\pi\) | |||||||
\(278\) | 0.104313 | + | 0.355259i | 0.00625630 | + | 0.0213070i | ||||
\(279\) | 20.2851 | + | 23.4102i | 1.21444 | + | 1.40153i | ||||
\(280\) | 1.43843 | − | 1.14804i | 0.0859624 | − | 0.0686087i | ||||
\(281\) | −3.52636 | − | 24.5264i | −0.210365 | − | 1.46312i | −0.771940 | − | 0.635695i | \(-0.780713\pi\) |
0.561575 | − | 0.827426i | \(-0.310196\pi\) | |||||||
\(282\) | −8.63986 | + | 13.4439i | −0.514496 | + | 0.800571i | ||||
\(283\) | −8.67802 | − | 3.96312i | −0.515855 | − | 0.235583i | 0.140438 | − | 0.990090i | \(-0.455149\pi\) |
−0.656293 | + | 0.754506i | \(0.727876\pi\) | |||||||
\(284\) | 6.56897 | − | 7.58100i | 0.389797 | − | 0.449850i | ||||
\(285\) | −28.6106 | − | 1.15655i | −1.69474 | − | 0.0685084i | ||||
\(286\) | −3.10715 | − | 6.80371i | −0.183730 | − | 0.402312i | ||||
\(287\) | 0.874895 | − | 2.97962i | 0.0516434 | − | 0.175881i | ||||
\(288\) | 1.04919 | − | 3.57323i | 0.0618243 | − | 0.210554i | ||||
\(289\) | 0.718363 | + | 1.57300i | 0.0422566 | + | 0.0925291i | ||||
\(290\) | 8.57911 | + | 0.346802i | 0.503783 | + | 0.0203649i | ||||
\(291\) | 19.3015 | − | 22.2752i | 1.13148 | − | 1.30579i | ||||
\(292\) | −5.62560 | − | 2.56912i | −0.329213 | − | 0.150347i | ||||
\(293\) | −9.35142 | + | 14.5511i | −0.546316 | + | 0.850084i | −0.999138 | − | 0.0415169i | \(-0.986781\pi\) |
0.452822 | + | 0.891601i | \(0.350417\pi\) | |||||||
\(294\) | −2.33325 | − | 16.2281i | −0.136078 | − | 0.946442i | ||||
\(295\) | 2.28053 | − | 1.82014i | 0.132777 | − | 0.105973i | ||||
\(296\) | −3.14248 | − | 3.62662i | −0.182653 | − | 0.210793i | ||||
\(297\) | −2.56863 | − | 8.74796i | −0.149047 | − | 0.507608i | ||||
\(298\) | − | 0.961629i | − | 0.0557057i | ||||||
\(299\) | 6.30946 | − | 3.84207i | 0.364886 | − | 0.222193i | ||||
\(300\) | −2.63673 | − | 12.6945i | −0.152232 | − | 0.732916i | ||||
\(301\) | 1.04461 | − | 0.306725i | 0.0602102 | − | 0.0176793i | ||||
\(302\) | 15.4445 | − | 13.3827i | 0.888730 | − | 0.770089i | ||||
\(303\) | −12.2964 | − | 19.1335i | −0.706407 | − | 1.09919i | ||||
\(304\) | −0.702797 | − | 4.88806i | −0.0403082 | − | 0.280349i | ||||
\(305\) | −26.3525 | − | 13.3464i | −1.50894 | − | 0.764215i | ||||
\(306\) | −6.04548 | + | 13.2378i | −0.345597 | + | 0.756752i | ||||
\(307\) | −7.44626 | − | 6.45222i | −0.424980 | − | 0.368248i | 0.415953 | − | 0.909386i | \(-0.363448\pi\) |
−0.840933 | + | 0.541139i | \(0.817993\pi\) | |||||||
\(308\) | 3.95592 | + | 0.568776i | 0.225410 | + | 0.0324090i | ||||
\(309\) | −2.72122 | − | 5.95864i | −0.154805 | − | 0.338975i | ||||
\(310\) | −3.38837 | + | 18.2879i | −0.192447 | + | 1.03868i | ||||
\(311\) | 8.06552 | + | 2.36825i | 0.457354 | + | 0.134291i | 0.502291 | − | 0.864699i | \(-0.332491\pi\) |
−0.0449372 | + | 0.998990i | \(0.514309\pi\) | |||||||
\(312\) | 3.63328 | − | 1.65926i | 0.205694 | − | 0.0939372i | ||||
\(313\) | 18.7663 | + | 2.69819i | 1.06074 | + | 0.152511i | 0.650529 | − | 0.759481i | \(-0.274547\pi\) |
0.410207 | + | 0.911992i | \(0.365456\pi\) | |||||||
\(314\) | −12.6653 | + | 14.6165i | −0.714744 | + | 0.824859i | ||||
\(315\) | 6.49281 | + | 2.19498i | 0.365828 | + | 0.123673i | ||||
\(316\) | 5.98528 | + | 3.84650i | 0.336698 | + | 0.216383i | ||||
\(317\) | −18.9449 | + | 2.72386i | −1.06405 | + | 0.152987i | −0.652035 | − | 0.758189i | \(-0.726084\pi\) |
−0.412016 | + | 0.911177i | \(0.635175\pi\) | |||||||
\(318\) | −8.91226 | − | 13.8678i | −0.499775 | − | 0.777665i | ||||
\(319\) | 12.2102 | + | 14.0914i | 0.683642 | + | 0.788965i | ||||
\(320\) | 2.06986 | − | 0.845983i | 0.115709 | − | 0.0472919i | ||||
\(321\) | 36.4969 | 2.03706 | ||||||||
\(322\) | −0.0956431 | + | 3.94606i | −0.00532998 | + | 0.219905i | ||||
\(323\) | 19.2979i | 1.07376i | ||||||||
\(324\) | −6.04814 | + | 1.77590i | −0.336008 | + | 0.0986609i | ||||
\(325\) | 4.67323 | − | 6.12185i | 0.259224 | − | 0.339579i | ||||
\(326\) | 16.8661 | − | 10.8392i | 0.934126 | − | 0.600327i | ||||
\(327\) | −0.00192702 | 0.000277064i | −0.000106565 | 1.53217e-5i | ||||||
\(328\) | 2.03986 | − | 3.17408i | 0.112632 | − | 0.175259i | ||||
\(329\) | 2.10713 | − | 4.61397i | 0.116170 | − | 0.254376i | ||||
\(330\) | 16.1663 | − | 23.0518i | 0.889928 | − | 1.26896i | ||||
\(331\) | −4.43315 | + | 30.8332i | −0.243668 | + | 1.69475i | 0.389736 | + | 0.920927i | \(0.372566\pi\) |
−0.633404 | + | 0.773821i | \(0.718343\pi\) | |||||||
\(332\) | 10.8448 | − | 4.95266i | 0.595187 | − | 0.271813i | ||||
\(333\) | 5.03477 | − | 17.1469i | 0.275904 | − | 0.939642i | ||||
\(334\) | −11.3991 | − | 3.34707i | −0.623730 | − | 0.183144i | ||||
\(335\) | −31.4585 | + | 18.4658i | −1.71876 | + | 1.00889i | ||||
\(336\) | −0.303734 | + | 2.11252i | −0.0165701 | + | 0.115247i | ||||
\(337\) | −3.40702 | − | 2.95220i | −0.185592 | − | 0.160816i | 0.557109 | − | 0.830439i | \(-0.311910\pi\) |
−0.742702 | + | 0.669623i | \(0.766456\pi\) | |||||||
\(338\) | −9.66698 | − | 4.41476i | −0.525814 | − | 0.240131i | ||||
\(339\) | 9.92657 | + | 6.37942i | 0.539137 | + | 0.346483i | ||||
\(340\) | −8.47670 | + | 2.12114i | −0.459714 | + | 0.115035i | ||||
\(341\) | −33.9781 | + | 21.8364i | −1.84002 | + | 1.18251i | ||||
\(342\) | 13.8988 | − | 12.0433i | 0.751559 | − | 0.651230i | ||||
\(343\) | 3.08925 | + | 10.5210i | 0.166804 | + | 0.568081i | ||||
\(344\) | 1.32277 | 0.0713190 | ||||||||
\(345\) | 24.4958 | + | 13.1614i | 1.31881 | + | 0.708586i | ||||
\(346\) | −5.22484 | −0.280889 | ||||||||
\(347\) | −0.684336 | − | 2.33063i | −0.0367371 | − | 0.125115i | 0.939083 | − | 0.343691i | \(-0.111677\pi\) |
−0.975820 | + | 0.218576i | \(0.929859\pi\) | |||||||
\(348\) | −7.52500 | + | 6.52045i | −0.403382 | + | 0.349533i | ||||
\(349\) | 23.8539 | − | 15.3300i | 1.27687 | − | 0.820595i | 0.286373 | − | 0.958118i | \(-0.407550\pi\) |
0.990499 | + | 0.137523i | \(0.0439141\pi\) | |||||||
\(350\) | 1.40181 | + | 3.86915i | 0.0749300 | + | 0.206815i | ||||
\(351\) | 2.43301 | + | 1.56360i | 0.129865 | + | 0.0834590i | ||||
\(352\) | 4.41702 | + | 2.01718i | 0.235428 | + | 0.107516i | ||||
\(353\) | 5.93958 | + | 5.14667i | 0.316132 | + | 0.273930i | 0.798443 | − | 0.602070i | \(-0.205657\pi\) |
−0.482312 | + | 0.876000i | \(0.660203\pi\) | |||||||
\(354\) | −0.481550 | + | 3.34925i | −0.0255941 | + | 0.178011i | ||||
\(355\) | 11.3546 | + | 19.3439i | 0.602642 | + | 1.02667i | ||||
\(356\) | −5.25610 | − | 1.54333i | −0.278573 | − | 0.0817964i | ||||
\(357\) | 2.34969 | − | 8.00231i | 0.124359 | − | 0.423527i | ||||
\(358\) | 3.12640 | − | 1.42778i | 0.165235 | − | 0.0754605i | ||||
\(359\) | −0.576914 | + | 4.01253i | −0.0304484 | + | 0.211773i | −0.999366 | − | 0.0356117i | \(-0.988662\pi\) |
0.968917 | + | 0.247385i | \(0.0795711\pi\) | |||||||
\(360\) | 6.81780 | + | 4.78135i | 0.359330 | + | 0.251999i | ||||
\(361\) | 2.23786 | − | 4.90023i | 0.117782 | − | 0.257907i | ||||
\(362\) | 1.93084 | − | 3.00445i | 0.101483 | − | 0.157911i | ||||
\(363\) | 32.2866 | − | 4.64211i | 1.69461 | − | 0.243648i | ||||
\(364\) | −1.06652 | + | 0.685413i | −0.0559011 | + | 0.0359254i | ||||
\(365\) | 9.47075 | − | 10.0769i | 0.495722 | − | 0.527448i | ||||
\(366\) | 32.8682 | − | 9.65098i | 1.71805 | − | 0.504465i | ||||
\(367\) | 0.00287537i | 0.000150093i | 1.00000 | 7.50466e-5i | \(2.38881e-5\pi\) | |||||
−1.00000 | 7.50466e-5i | \(0.999976\pi\) | ||||||||
\(368\) | −1.46224 | + | 4.56748i | −0.0762247 | + | 0.238096i | ||||
\(369\) | 14.0511 | 0.731471 | ||||||||
\(370\) | 9.93264 | − | 4.05962i | 0.516373 | − | 0.211050i | ||||
\(371\) | 3.42641 | + | 3.95429i | 0.177890 | + | 0.205296i | ||||
\(372\) | −11.6609 | − | 18.1448i | −0.604592 | − | 0.940764i | ||||
\(373\) | 5.56203 | − | 0.799699i | 0.287991 | − | 0.0414069i | 0.00319464 | − | 0.999995i | \(-0.498983\pi\) |
0.284796 | + | 0.958588i | \(0.408074\pi\) | |||||||
\(374\) | −15.9632 | − | 10.2589i | −0.825438 | − | 0.530477i | ||||
\(375\) | 28.7788 | + | 3.50536i | 1.48613 | + | 0.181016i | ||||
\(376\) | 4.03581 | − | 4.65757i | 0.208131 | − | 0.240196i | ||||
\(377\) | −5.85444 | − | 0.841741i | −0.301519 | − | 0.0433519i | ||||
\(378\) | −1.40571 | + | 0.641964i | −0.0723017 | + | 0.0330191i | ||||
\(379\) | −16.8263 | − | 4.94063i | −0.864307 | − | 0.253783i | −0.180615 | − | 0.983554i | \(-0.557809\pi\) |
−0.683692 | + | 0.729771i | \(0.739627\pi\) | |||||||
\(380\) | 10.8576 | + | 2.01169i | 0.556985 | + | 0.103198i | ||||
\(381\) | −19.6392 | − | 43.0038i | −1.00615 | − | 2.20315i | ||||
\(382\) | −5.13118 | − | 0.737752i | −0.262534 | − | 0.0377467i | ||||
\(383\) | 5.00087 | + | 4.33327i | 0.255532 | + | 0.221420i | 0.773201 | − | 0.634161i | \(-0.218654\pi\) |
−0.517668 | + | 0.855581i | \(0.673200\pi\) | |||||||
\(384\) | −1.07721 | + | 2.35875i | −0.0549709 | + | 0.120370i | ||||
\(385\) | −4.03774 | + | 7.97250i | −0.205782 | + | 0.406316i | ||||
\(386\) | −2.36889 | − | 16.4760i | −0.120573 | − | 0.838605i | ||||
\(387\) | 2.66325 | + | 4.14410i | 0.135381 | + | 0.210656i | ||||
\(388\) | −8.59023 | + | 7.44348i | −0.436103 | + | 0.377885i | ||||
\(389\) | 28.1129 | − | 8.25468i | 1.42538 | − | 0.418529i | 0.524058 | − | 0.851682i | \(-0.324417\pi\) |
0.901320 | + | 0.433154i | \(0.142599\pi\) | |||||||
\(390\) | 0.912953 | + | 8.88458i | 0.0462292 | + | 0.449888i | ||||
\(391\) | 8.19610 | − | 16.8538i | 0.414494 | − | 0.852334i | ||||
\(392\) | 6.32259i | 0.319339i | ||||||||
\(393\) | 14.3296 | + | 48.8021i | 0.722833 | + | 2.46174i | ||||
\(394\) | −0.460158 | − | 0.531051i | −0.0231824 | − | 0.0267539i | ||||
\(395\) | −12.4342 | + | 9.92404i | −0.625632 | + | 0.499332i | ||||
\(396\) | 2.57355 | + | 17.8994i | 0.129326 | + | 0.899480i | ||||
\(397\) | 9.57991 | − | 14.9066i | 0.480802 | − | 0.748143i | −0.513110 | − | 0.858323i | \(-0.671507\pi\) |
0.993912 | + | 0.110181i | \(0.0351429\pi\) | |||||||
\(398\) | −23.0315 | − | 10.5181i | −1.15446 | − | 0.527226i | ||||
\(399\) | −6.90196 | + | 7.96528i | −0.345530 | + | 0.398763i | ||||
\(400\) | 0.309779 | + | 4.99039i | 0.0154890 | + | 0.249520i | ||||
\(401\) | 4.73969 | + | 10.3785i | 0.236689 | + | 0.518276i | 0.990284 | − | 0.139063i | \(-0.0444091\pi\) |
−0.753595 | + | 0.657339i | \(0.771682\pi\) | |||||||
\(402\) | 11.9178 | − | 40.5883i | 0.594406 | − | 2.02436i | ||||
\(403\) | 3.60963 | − | 12.2933i | 0.179808 | − | 0.612371i | ||||
\(404\) | 3.64362 | + | 7.97842i | 0.181277 | + | 0.396941i | ||||
\(405\) | 0.569312 | − | 14.0835i | 0.0282894 | − | 0.699815i | ||||
\(406\) | 2.06961 | − | 2.38846i | 0.102713 | − | 0.118537i | ||||
\(407\) | 21.1960 | + | 9.67987i | 1.05065 | + | 0.479814i | ||||
\(408\) | 5.47842 | − | 8.52458i | 0.271222 | − | 0.422030i | ||||
\(409\) | 0.436149 | + | 3.03349i | 0.0215662 | + | 0.149996i | 0.997759 | − | 0.0669076i | \(-0.0213133\pi\) |
−0.976193 | + | 0.216904i | \(0.930404\pi\) | |||||||
\(410\) | 5.26287 | + | 6.59404i | 0.259914 | + | 0.325656i | ||||
\(411\) | −29.9886 | − | 34.6087i | −1.47923 | − | 1.70712i | ||||
\(412\) | 0.711708 | + | 2.42386i | 0.0350633 | + | 0.119415i | ||||
\(413\) | − | 1.07399i | − | 0.0528478i | ||||||
\(414\) | −17.2535 | + | 4.61505i | −0.847962 | + | 0.226817i | ||||
\(415\) | 2.72504 | + | 26.5192i | 0.133767 | + | 1.30178i | ||||
\(416\) | −1.47794 | + | 0.433964i | −0.0724622 | + | 0.0212768i | ||||
\(417\) | 0.725600 | − | 0.628736i | 0.0355328 | − | 0.0307893i | ||||
\(418\) | 12.9644 | + | 20.1730i | 0.634109 | + | 0.986692i | ||||
\(419\) | −4.74194 | − | 32.9809i | −0.231659 | − | 1.61122i | −0.690927 | − | 0.722925i | \(-0.742797\pi\) |
0.459268 | − | 0.888298i | \(-0.348112\pi\) | |||||||
\(420\) | −4.25743 | − | 2.15621i | −0.207741 | − | 0.105212i | ||||
\(421\) | −13.3875 | + | 29.3145i | −0.652466 | + | 1.42870i | 0.236914 | + | 0.971531i | \(0.423864\pi\) |
−0.889379 | + | 0.457170i | \(0.848863\pi\) | |||||||
\(422\) | −2.80344 | − | 2.42920i | −0.136470 | − | 0.118252i | ||||
\(423\) | 22.7173 | + | 3.26626i | 1.10455 | + | 0.158811i | ||||
\(424\) | 2.64086 | + | 5.78267i | 0.128251 | + | 0.280831i | ||||
\(425\) | 1.57711 | − | 19.4751i | 0.0765008 | − | 0.944683i | ||||
\(426\) | −24.9578 | − | 7.32828i | −1.20921 | − | 0.355056i | ||||
\(427\) | −9.89033 | + | 4.51676i | −0.478627 | + | 0.218582i | ||||
\(428\) | −13.9315 | − | 2.00304i | −0.673402 | − | 0.0968206i | ||||
\(429\) | −12.7012 | + | 14.6580i | −0.613220 | + | 0.707694i | ||||
\(430\) | −0.947259 | + | 2.80202i | −0.0456809 | + | 0.135125i | ||||
\(431\) | −7.59443 | − | 4.88064i | −0.365811 | − | 0.235092i | 0.344802 | − | 0.938675i | \(-0.387946\pi\) |
−0.710613 | + | 0.703583i | \(0.751582\pi\) | |||||||
\(432\) | −1.85848 | + | 0.267209i | −0.0894162 | + | 0.0128561i | ||||
\(433\) | −9.33815 | − | 14.5304i | −0.448763 | − | 0.698289i | 0.540998 | − | 0.841024i | \(-0.318047\pi\) |
−0.989761 | + | 0.142735i | \(0.954410\pi\) | |||||||
\(434\) | 4.48317 | + | 5.17385i | 0.215199 | + | 0.248353i | ||||
\(435\) | −8.42345 | − | 20.6096i | −0.403873 | − | 0.988153i | ||||
\(436\) | 0.000750782 | 0 | 3.59559e−5 | 0 | ||||||
\(437\) | −18.2692 | + | 15.0711i | −0.873936 | + | 0.720947i | ||||
\(438\) | 16.0369i | 0.766271i | ||||||||
\(439\) | 12.5452 | − | 3.68360i | 0.598749 | − | 0.175809i | 0.0317066 | − | 0.999497i | \(-0.489906\pi\) |
0.567042 | + | 0.823689i | \(0.308088\pi\) | |||||||
\(440\) | −7.43610 | + | 7.91201i | −0.354502 | + | 0.377190i | ||||
\(441\) | −19.8080 | + | 12.7298i | −0.943237 | + | 0.606182i | ||||
\(442\) | 5.95804 | − | 0.856636i | 0.283395 | − | 0.0407460i | ||||
\(443\) | −12.2792 | + | 19.1068i | −0.583401 | + | 0.907790i | −0.999999 | − | 0.00130107i | \(-0.999586\pi\) |
0.416598 | + | 0.909091i | \(0.363222\pi\) | |||||||
\(444\) | −5.16919 | + | 11.3190i | −0.245319 | + | 0.537174i | ||||
\(445\) | 7.03322 | − | 10.0288i | 0.333407 | − | 0.475409i | ||||
\(446\) | −2.29023 | + | 15.9289i | −0.108445 | + | 0.754255i | ||||
\(447\) | −2.26824 | + | 1.03587i | −0.107284 | + | 0.0489951i | ||||
\(448\) | 0.231881 | − | 0.789713i | 0.0109553 | − | 0.0373104i | ||||
\(449\) | −2.22247 | − | 0.652576i | −0.104885 | − | 0.0307970i | 0.228869 | − | 0.973457i | \(-0.426497\pi\) |
−0.333754 | + | 0.942660i | \(0.608315\pi\) | |||||||
\(450\) | −15.0107 | + | 11.0181i | −0.707610 | + | 0.519399i | ||||
\(451\) | −2.60738 | + | 18.1348i | −0.122777 | + | 0.853932i | ||||
\(452\) | −3.43901 | − | 2.97992i | −0.161758 | − | 0.140164i | ||||
\(453\) | −48.2034 | − | 22.0137i | −2.26479 | − | 1.03430i | ||||
\(454\) | 3.02525 | + | 1.94421i | 0.141982 | + | 0.0912463i | ||||
\(455\) | −0.688151 | − | 2.75005i | −0.0322610 | − | 0.128924i | ||||
\(456\) | −10.7727 | + | 6.92317i | −0.504476 | + | 0.324207i | ||||
\(457\) | −17.5450 | + | 15.2028i | −0.820721 | + | 0.711158i | −0.960275 | − | 0.279056i | \(-0.909979\pi\) |
0.139554 | + | 0.990214i | \(0.455433\pi\) | |||||||
\(458\) | −4.76861 | − | 16.2404i | −0.222822 | − | 0.758864i | ||||
\(459\) | 7.33722 | 0.342472 | ||||||||
\(460\) | −8.62813 | − | 6.36831i | −0.402288 | − | 0.296924i | ||||
\(461\) | 8.06438 | 0.375595 | 0.187798 | − | 0.982208i | \(-0.439865\pi\) | ||||
0.187798 | + | 0.982208i | \(0.439865\pi\) | |||||||
\(462\) | −2.91974 | − | 9.94372i | −0.135839 | − | 0.462624i | ||||
\(463\) | −12.7129 | + | 11.0158i | −0.590817 | + | 0.511946i | −0.898169 | − | 0.439650i | \(-0.855102\pi\) |
0.307352 | + | 0.951596i | \(0.400557\pi\) | |||||||
\(464\) | 3.23027 | − | 2.07597i | 0.149962 | − | 0.0963744i | ||||
\(465\) | 46.7866 | − | 11.7075i | 2.16968 | − | 0.542924i | ||||
\(466\) | 19.4633 | + | 12.5083i | 0.901619 | + | 0.579435i | ||||
\(467\) | 17.1332 | + | 7.82445i | 0.792828 | + | 0.362072i | 0.770306 | − | 0.637674i | \(-0.220103\pi\) |
0.0225214 | + | 0.999746i | \(0.492831\pi\) | |||||||
\(468\) | −4.33524 | − | 3.75651i | −0.200396 | − | 0.173645i | ||||
\(469\) | −1.91082 | + | 13.2901i | −0.0882335 | + | 0.613678i | ||||
\(470\) | 6.97599 | + | 11.8844i | 0.321779 | + | 0.548186i | ||||
\(471\) | 48.1199 | + | 14.1293i | 2.21725 | + | 0.651043i | ||||
\(472\) | 0.367631 | − | 1.25204i | 0.0169216 | − | 0.0576296i | ||||
\(473\) | −5.84270 | + | 2.66827i | −0.268647 | + | 0.122687i | ||||
\(474\) | 2.62557 | − | 18.2613i | 0.120597 | − | 0.838767i | ||||
\(475\) | −12.0367 | + | 21.5591i | −0.552282 | + | 0.989198i | ||||
\(476\) | −1.33610 | + | 2.92565i | −0.0612401 | + | 0.134097i | ||||
\(477\) | −12.7994 | + | 19.9163i | −0.586045 | + | 0.911904i | ||||
\(478\) | 12.9534 | − | 1.86242i | 0.592476 | − | 0.0851853i | ||||
\(479\) | −5.18475 | + | 3.33204i | −0.236897 | + | 0.152245i | −0.653704 | − | 0.756751i | \(-0.726786\pi\) |
0.416806 | + | 0.908995i | \(0.363149\pi\) | |||||||
\(480\) | −4.22513 | − | 3.97098i | −0.192850 | − | 0.181250i | ||||
\(481\) | −7.09222 | + | 2.08246i | −0.323378 | + | 0.0949522i | ||||
\(482\) | 0.609644i | 0.0277685i | ||||||||
\(483\) | 9.41080 | − | 4.02512i | 0.428206 | − | 0.183149i | ||||
\(484\) | −12.5791 | −0.571776 | ||||||||
\(485\) | −9.61587 | − | 23.5271i | −0.436634 | − | 1.06831i | ||||
\(486\) | 14.3927 | + | 16.6100i | 0.652865 | + | 0.753446i | ||||
\(487\) | 14.0453 | + | 21.8549i | 0.636452 | + | 0.990339i | 0.998310 | + | 0.0581061i | \(0.0185062\pi\) |
−0.361858 | + | 0.932233i | \(0.617857\pi\) | |||||||
\(488\) | −13.0760 | + | 1.88004i | −0.591922 | + | 0.0851056i | ||||
\(489\) | −43.7352 | − | 28.1069i | −1.97777 | − | 1.27104i | ||||
\(490\) | −13.3931 | − | 4.52772i | −0.605039 | − | 0.204541i | ||||
\(491\) | −16.4557 | + | 18.9909i | −0.742634 | + | 0.857046i | −0.993833 | − | 0.110890i | \(-0.964630\pi\) |
0.251198 | + | 0.967936i | \(0.419175\pi\) | |||||||
\(492\) | −9.68422 | − | 1.39238i | −0.436598 | − | 0.0627734i | ||||
\(493\) | −13.6492 | + | 6.23339i | −0.614730 | + | 0.280738i | ||||
\(494\) | −7.29857 | − | 2.14305i | −0.328378 | − | 0.0964205i | ||||
\(495\) | −39.7592 | − | 7.36656i | −1.78704 | − | 0.331102i | ||||
\(496\) | 3.45534 | + | 7.56614i | 0.155149 | + | 0.339730i | ||||
\(497\) | 8.17208 | + | 1.17497i | 0.366568 | + | 0.0527045i | ||||
\(498\) | −23.3642 | − | 20.2452i | −1.04697 | − | 0.907209i | ||||
\(499\) | 5.75654 | − | 12.6051i | 0.257698 | − | 0.564281i | −0.735921 | − | 0.677068i | \(-0.763250\pi\) |
0.993619 | + | 0.112787i | \(0.0359778\pi\) | |||||||
\(500\) | −10.7930 | − | 2.91751i | −0.482676 | − | 0.130475i | ||||
\(501\) | 4.38424 | + | 30.4931i | 0.195873 | + | 1.36233i | ||||
\(502\) | −6.00845 | − | 9.34933i | −0.268170 | − | 0.417281i | ||||
\(503\) | 25.1422 | − | 21.7858i | 1.12104 | − | 0.971383i | 0.121261 | − | 0.992621i | \(-0.461306\pi\) |
0.999774 | + | 0.0212380i | \(0.00676079\pi\) | |||||||
\(504\) | 2.94095 | − | 0.863541i | 0.131000 | − | 0.0384652i | ||||
\(505\) | −19.5099 | + | 2.00478i | −0.868180 | + | 0.0892116i | ||||
\(506\) | −2.75469 | − | 23.1242i | −0.122461 | − | 1.02800i | ||||
\(507\) | 27.5576i | 1.22388i | ||||||||
\(508\) | 5.13644 | + | 17.4931i | 0.227893 | + | 0.776131i | ||||
\(509\) | 5.23195 | + | 6.03799i | 0.231902 | + | 0.267629i | 0.859759 | − | 0.510699i | \(-0.170613\pi\) |
−0.627858 | + | 0.778328i | \(0.716068\pi\) | |||||||
\(510\) | 14.1344 | + | 17.7095i | 0.625882 | + | 0.784190i | ||||
\(511\) | −0.724403 | − | 5.03834i | −0.0320457 | − | 0.222883i | ||||
\(512\) | 0.540641 | − | 0.841254i | 0.0238932 | − | 0.0371785i | ||||
\(513\) | −8.43425 | − | 3.85179i | −0.372381 | − | 0.170061i | ||||
\(514\) | −5.43138 | + | 6.26814i | −0.239568 | + | 0.276476i | ||||
\(515\) | −5.64411 | − | 0.228158i | −0.248709 | − | 0.0100538i | ||||
\(516\) | −1.42489 | − | 3.12008i | −0.0627275 | − | 0.137354i | ||||
\(517\) | −8.43105 | + | 28.7135i | −0.370797 | + | 1.26282i | ||||
\(518\) | 1.11273 | − | 3.78960i | 0.0488904 | − | 0.166505i | ||||
\(519\) | 5.62823 | + | 12.3241i | 0.247052 | + | 0.540968i | ||||
\(520\) | 0.139119 | − | 3.44149i | 0.00610077 | − | 0.150919i | ||||
\(521\) | −1.78669 | + | 2.06195i | −0.0782763 | + | 0.0903356i | −0.793537 | − | 0.608522i | \(-0.791763\pi\) |
0.715261 | + | 0.698858i | \(0.246308\pi\) | |||||||
\(522\) | 13.0076 | + | 5.94036i | 0.569326 | + | 0.260003i | ||||
\(523\) | 17.6517 | − | 27.4665i | 0.771853 | − | 1.20103i | −0.203218 | − | 0.979133i | \(-0.565140\pi\) |
0.975071 | − | 0.221893i | \(-0.0712235\pi\) | |||||||
\(524\) | −2.79146 | − | 19.4150i | −0.121945 | − | 0.848149i | ||||
\(525\) | 7.61631 | − | 7.47439i | 0.332403 | − | 0.326209i | ||||
\(526\) | 2.63650 | + | 3.04269i | 0.114957 | + | 0.132668i | ||||
\(527\) | −9.15747 | − | 31.1875i | −0.398906 | − | 1.35855i | ||||
\(528\) | − | 12.5916i | − | 0.547978i | ||||||
\(529\) | 22.3564 | − | 5.40310i | 0.972015 | − | 0.234917i | ||||
\(530\) | −14.1406 | + | 1.45304i | −0.614227 | + | 0.0631162i | ||||
\(531\) | 4.66268 | − | 1.36909i | 0.202343 | − | 0.0594133i | ||||
\(532\) | 3.07174 | − | 2.66168i | 0.133177 | − | 0.115398i | ||||
\(533\) | −3.14208 | − | 4.88916i | −0.136098 | − | 0.211773i | ||||
\(534\) | 2.02157 | + | 14.0603i | 0.0874819 | + | 0.608450i | ||||
\(535\) | 14.2196 | − | 28.0765i | 0.614767 | − | 1.21385i | ||||
\(536\) | −6.77680 | + | 14.8391i | −0.292713 | + | 0.640952i | ||||
\(537\) | −6.73555 | − | 5.83639i | −0.290661 | − | 0.251859i | ||||
\(538\) | 16.5962 | + | 2.38617i | 0.715511 | + | 0.102875i | ||||
\(539\) | −12.7538 | − | 27.9270i | −0.549346 | − | 1.20290i | ||||
\(540\) | 0.764863 | − | 4.12817i | 0.0329145 | − | 0.177648i | ||||
\(541\) | 37.5294 | + | 11.0196i | 1.61352 | + | 0.473771i | 0.959266 | − | 0.282506i | \(-0.0911656\pi\) |
0.654251 | + | 0.756277i | \(0.272984\pi\) | |||||||
\(542\) | −9.16540 | + | 4.18570i | −0.393688 | + | 0.179791i | ||||
\(543\) | −9.16667 | − | 1.31797i | −0.393379 | − | 0.0565594i | ||||
\(544\) | −2.55905 | + | 2.95330i | −0.109718 | + | 0.126622i | ||||
\(545\) | −0.000537648 | 0.00159038i | −2.30303e−5 | 6.81243e-5i | ||||||
\(546\) | 2.76559 | + | 1.77733i | 0.118356 | + | 0.0760629i | ||||
\(547\) | 42.8941 | − | 6.16724i | 1.83402 | − | 0.263692i | 0.863436 | − | 0.504459i | \(-0.168308\pi\) |
0.970583 | + | 0.240767i | \(0.0773990\pi\) | |||||||
\(548\) | 9.54773 | + | 14.8566i | 0.407859 | + | 0.634641i | ||||
\(549\) | −32.2170 | − | 37.1804i | −1.37499 | − | 1.58682i | ||||
\(550\) | −11.4348 | − | 21.4178i | −0.487583 | − | 0.913257i | ||||
\(551\) | 18.9623 | 0.807822 | ||||||||
\(552\) | 12.3487 | − | 1.47104i | 0.525595 | − | 0.0626117i | ||||
\(553\) | 5.85578i | 0.249013i | ||||||||
\(554\) | 19.6895 | − | 5.78135i | 0.836525 | − | 0.245626i | ||||
\(555\) | −20.2751 | − | 19.0556i | −0.860632 | − | 0.808864i | ||||
\(556\) | −0.311480 | + | 0.200176i | −0.0132097 | + | 0.00848935i | ||||
\(557\) | −18.0128 | + | 2.58985i | −0.763228 | + | 0.109736i | −0.512927 | − | 0.858432i | \(-0.671439\pi\) |
−0.250301 | + | 0.968168i | \(0.580530\pi\) | |||||||
\(558\) | −16.7470 | + | 26.0588i | −0.708956 | + | 1.10316i | ||||
\(559\) | 0.846414 | − | 1.85339i | 0.0357995 | − | 0.0783900i | ||||
\(560\) | 1.50679 | + | 1.05672i | 0.0636735 | + | 0.0446545i | ||||
\(561\) | −7.00261 | + | 48.7042i | −0.295650 | + | 2.05629i | ||||
\(562\) | 22.5394 | − | 10.2934i | 0.950767 | − | 0.434201i | ||||
\(563\) | 1.76606 | − | 6.01463i | 0.0744304 | − | 0.253487i | −0.913870 | − | 0.406007i | \(-0.866921\pi\) |
0.988300 | + | 0.152520i | \(0.0487390\pi\) | |||||||
\(564\) | −15.3334 | − | 4.50230i | −0.645654 | − | 0.189581i | ||||
\(565\) | 8.77509 | − | 5.15087i | 0.369171 | − | 0.216699i | ||||
\(566\) | 1.35770 | − | 9.44304i | 0.0570686 | − | 0.396921i | ||||
\(567\) | −3.92090 | − | 3.39748i | −0.164662 | − | 0.142681i | ||||
\(568\) | 9.12461 | + | 4.16707i | 0.382860 | + | 0.174846i | ||||
\(569\) | 34.4512 | + | 22.1404i | 1.44427 | + | 0.928175i | 0.999470 | + | 0.0325443i | \(0.0103610\pi\) |
0.444798 | + | 0.895631i | \(0.353275\pi\) | |||||||
\(570\) | −6.95082 | − | 27.7775i | −0.291138 | − | 1.16347i | ||||
\(571\) | 14.7398 | − | 9.47273i | 0.616843 | − | 0.396421i | −0.194574 | − | 0.980888i | \(-0.562333\pi\) |
0.811418 | + | 0.584467i | \(0.198696\pi\) | |||||||
\(572\) | 5.65272 | − | 4.89811i | 0.236352 | − | 0.204800i | ||||
\(573\) | 3.78716 | + | 12.8979i | 0.158211 | + | 0.538817i | ||||
\(574\) | 3.10541 | 0.129617 | ||||||||
\(575\) | 19.6687 | − | 13.7165i | 0.820243 | − | 0.572016i | ||||
\(576\) | 3.72408 | 0.155170 | ||||||||
\(577\) | −4.73519 | − | 16.1266i | −0.197129 | − | 0.671358i | −0.997423 | − | 0.0717504i | \(-0.977141\pi\) |
0.800294 | − | 0.599608i | \(-0.204677\pi\) | |||||||
\(578\) | −1.30689 | + | 1.13243i | −0.0543595 | + | 0.0471028i | ||||
\(579\) | −36.3109 | + | 23.3356i | −1.50903 | + | 0.969795i | ||||
\(580\) | 2.08426 | + | 8.32930i | 0.0865442 | + | 0.345856i | ||||
\(581\) | 8.25488 | + | 5.30509i | 0.342470 | + | 0.220092i | ||||
\(582\) | 26.8107 | + | 12.2441i | 1.11134 | + | 0.507533i | ||||
\(583\) | −23.3294 | − | 20.2151i | −0.966206 | − | 0.837223i | ||||
\(584\) | 0.880143 | − | 6.12153i | 0.0364206 | − | 0.253311i | ||||
\(585\) | 11.0619 | − | 6.49322i | 0.457355 | − | 0.268461i | ||||
\(586\) | −16.5963 | − | 4.87311i | −0.685586 | − | 0.201306i | ||||
\(587\) | −12.0781 | + | 41.1342i | −0.498516 | + | 1.69779i | 0.197962 | + | 0.980210i | \(0.436568\pi\) |
−0.696477 | + | 0.717579i | \(0.745250\pi\) | |||||||
\(588\) | 14.9134 | − | 6.81072i | 0.615018 | − | 0.280869i | ||||
\(589\) | −5.84573 | + | 40.6579i | −0.240869 | + | 1.67528i | ||||
\(590\) | 2.38891 | + | 1.67536i | 0.0983500 | + | 0.0689733i | ||||
\(591\) | −0.756932 | + | 1.65745i | −0.0311360 | + | 0.0681783i | ||||
\(592\) | 2.59438 | − | 4.03693i | 0.106628 | − | 0.165917i | ||||
\(593\) | 15.4713 | − | 2.22443i | 0.635329 | − | 0.0913466i | 0.182878 | − | 0.983136i | \(-0.441459\pi\) |
0.452451 | + | 0.891789i | \(0.350550\pi\) | |||||||
\(594\) | 7.66994 | − | 4.92917i | 0.314701 | − | 0.202246i | ||||
\(595\) | −5.24059 | − | 4.92537i | −0.214843 | − | 0.201921i | ||||
\(596\) | 0.922676 | − | 0.270922i | 0.0377943 | − | 0.0110974i | ||||
\(597\) | 65.6557i | 2.68711i | ||||||||
\(598\) | 5.46402 | + | 4.97145i | 0.223441 | + | 0.203298i | ||||
\(599\) | −23.4056 | −0.956327 | −0.478163 | − | 0.878271i | \(-0.658697\pi\) | ||||
−0.478163 | + | 0.878271i | \(0.658697\pi\) | |||||||
\(600\) | 11.4374 | − | 6.10637i | 0.466930 | − | 0.249292i | ||||
\(601\) | 6.80010 | + | 7.84774i | 0.277382 | + | 0.320116i | 0.877297 | − | 0.479948i | \(-0.159344\pi\) |
−0.599915 | + | 0.800064i | \(0.704799\pi\) | |||||||
\(602\) | 0.588600 | + | 0.915880i | 0.0239896 | + | 0.0373285i | ||||
\(603\) | −60.1337 | + | 8.64592i | −2.44883 | + | 0.352089i | ||||
\(604\) | 17.1918 | + | 11.0485i | 0.699526 | + | 0.449558i | ||||
\(605\) | 9.00810 | − | 26.6462i | 0.366231 | − | 1.08332i | ||||
\(606\) | 14.8942 | − | 17.1888i | 0.605035 | − | 0.698247i | ||||
\(607\) | −6.99194 | − | 1.00529i | −0.283794 | − | 0.0408035i | −0.00105223 | − | 0.999999i | \(-0.500335\pi\) |
−0.282742 | + | 0.959196i | \(0.591244\pi\) | |||||||
\(608\) | 4.49206 | − | 2.05145i | 0.182177 | − | 0.0831974i | ||||
\(609\) | −7.86317 | − | 2.30883i | −0.318632 | − | 0.0935587i | ||||
\(610\) | 5.38146 | − | 29.0452i | 0.217889 | − | 1.17600i | ||||
\(611\) | −3.94348 | − | 8.63502i | −0.159536 | − | 0.349336i | ||||
\(612\) | −14.4047 | − | 2.07109i | −0.582277 | − | 0.0837188i | ||||
\(613\) | 0.680540 | + | 0.589691i | 0.0274867 | + | 0.0238174i | 0.668496 | − | 0.743716i | \(-0.266938\pi\) |
−0.641009 | + | 0.767533i | \(0.721484\pi\) | |||||||
\(614\) | 4.09300 | − | 8.96243i | 0.165180 | − | 0.361694i | ||||
\(615\) | 9.88451 | − | 19.5169i | 0.398582 | − | 0.786998i | ||||
\(616\) | 0.568776 | + | 3.95592i | 0.0229166 | + | 0.159389i | ||||
\(617\) | −17.4211 | − | 27.1078i | −0.701349 | − | 1.09132i | −0.990958 | − | 0.134175i | \(-0.957162\pi\) |
0.289609 | − | 0.957145i | \(-0.406475\pi\) | |||||||
\(618\) | 4.95061 | − | 4.28973i | 0.199143 | − | 0.172558i | ||||
\(619\) | −24.3150 | + | 7.13951i | −0.977301 | + | 0.286961i | −0.731110 | − | 0.682260i | \(-0.760997\pi\) |
−0.246191 | + | 0.969221i | \(0.579179\pi\) | |||||||
\(620\) | −18.5018 | + | 1.90118i | −0.743048 | + | 0.0763534i | ||||
\(621\) | 5.73015 | + | 6.94612i | 0.229943 | + | 0.278738i | ||||
\(622\) | 8.40603i | 0.337051i | ||||||||
\(623\) | −1.27024 | − | 4.32605i | −0.0508912 | − | 0.173319i | ||||
\(624\) | 2.61566 | + | 3.01864i | 0.104710 | + | 0.120842i | ||||
\(625\) | 13.9092 | − | 20.7734i | 0.556367 | − | 0.830937i | ||||
\(626\) | 2.69819 | + | 18.7663i | 0.107841 | + | 0.750054i | ||||
\(627\) | 33.6177 | − | 52.3102i | 1.34256 | − | 2.08907i | ||||
\(628\) | −17.5927 | − | 8.03431i | −0.702025 | − | 0.320604i | ||||
\(629\) | −12.2801 | + | 14.1720i | −0.489641 | + | 0.565076i | ||||
\(630\) | −0.276832 | + | 6.84820i | −0.0110293 | + | 0.272839i | ||||
\(631\) | 2.43194 | + | 5.32520i | 0.0968139 | + | 0.211993i | 0.951842 | − | 0.306589i | \(-0.0991876\pi\) |
−0.855028 | + | 0.518581i | \(0.826460\pi\) | |||||||
\(632\) | −2.00445 | + | 6.82652i | −0.0797326 | + | 0.271544i | ||||
\(633\) | −2.70999 | + | 9.22937i | −0.107712 | + | 0.366835i | ||||
\(634\) | −7.95092 | − | 17.4101i | −0.315771 | − | 0.691443i | ||||
\(635\) | −40.7339 | − | 1.64663i | −1.61647 | − | 0.0653444i | ||||
\(636\) | 10.7951 | − | 12.4583i | 0.428055 | − | 0.494002i | ||||
\(637\) | 8.85884 | + | 4.04570i | 0.351000 | + | 0.160296i | ||||
\(638\) | −10.0805 | + | 15.6856i | −0.399093 | + | 0.621000i | ||||
\(639\) | 5.31640 | + | 36.9764i | 0.210313 | + | 1.46276i | ||||
\(640\) | 1.39486 | + | 1.74767i | 0.0551367 | + | 0.0690829i | ||||
\(641\) | 8.76323 | + | 10.1133i | 0.346127 | + | 0.399452i | 0.901944 | − | 0.431853i | \(-0.142140\pi\) |
−0.555817 | + | 0.831304i | \(0.687595\pi\) | |||||||
\(642\) | 10.2824 | + | 35.0185i | 0.405813 | + | 1.38207i | ||||
\(643\) | − | 16.5420i | − | 0.652352i | −0.945309 | − | 0.326176i | \(-0.894240\pi\) | ||
0.945309 | − | 0.326176i | \(-0.105760\pi\) | |||||||
\(644\) | −3.81316 | + | 1.01996i | −0.150260 | + | 0.0401922i | ||||
\(645\) | 7.62965 | − | 0.784000i | 0.300417 | − | 0.0308700i | ||||
\(646\) | −18.5162 | + | 5.43684i | −0.728509 | + | 0.213910i | ||||
\(647\) | −26.1354 | + | 22.6464i | −1.02749 | + | 0.890323i | −0.994029 | − | 0.109117i | \(-0.965198\pi\) |
−0.0334586 | + | 0.999440i | \(0.510652\pi\) | |||||||
\(648\) | −3.40792 | − | 5.30282i | −0.133876 | − | 0.208315i | ||||
\(649\) | 0.901755 | + | 6.27184i | 0.0353970 | + | 0.246191i | ||||
\(650\) | 7.19047 | + | 2.75921i | 0.282034 | + | 0.108225i | ||||
\(651\) | 7.37454 | − | 16.1480i | 0.289031 | − | 0.632889i | ||||
\(652\) | 15.1518 | + | 13.1291i | 0.593392 | + | 0.514177i | ||||
\(653\) | 45.9652 | + | 6.60880i | 1.79876 | + | 0.258622i | 0.958810 | − | 0.284047i | \(-0.0916772\pi\) |
0.839946 | + | 0.542669i | \(0.182586\pi\) | |||||||
\(654\) | −0.000808746 | − | 0.00177091i | −3.16245e−5 | − | 6.92480e-5i | ||||
\(655\) | 43.1257 | + | 7.99030i | 1.68506 | + | 0.312207i | ||||
\(656\) | 3.62020 | + | 1.06299i | 0.141345 | + | 0.0415027i | ||||
\(657\) | 20.9502 | − | 9.56762i | 0.817344 | − | 0.373268i | ||||
\(658\) | 5.02072 | + | 0.721870i | 0.195728 | + | 0.0281414i | ||||
\(659\) | 24.3323 | − | 28.0810i | 0.947852 | − | 1.09388i | −0.0476238 | − | 0.998865i | \(-0.515165\pi\) |
0.995476 | − | 0.0950144i | \(-0.0302897\pi\) | |||||||
\(660\) | 26.6727 | + | 9.01704i | 1.03823 | + | 0.350988i | ||||
\(661\) | −22.3758 | − | 14.3800i | −0.870317 | − | 0.559319i | 0.0275324 | − | 0.999621i | \(-0.491235\pi\) |
−0.897850 | + | 0.440302i | \(0.854871\pi\) | |||||||
\(662\) | −30.8332 | + | 4.43315i | −1.19837 | + | 0.172299i | ||||
\(663\) | −8.43862 | − | 13.1308i | −0.327729 | − | 0.509956i | ||||
\(664\) | 7.80738 | + | 9.01020i | 0.302985 | + | 0.349664i | ||||
\(665\) | 3.43850 | + | 8.41294i | 0.133339 | + | 0.326240i | ||||
\(666\) | 17.8708 | 0.692478 | ||||||||
\(667\) | −16.5608 | − | 8.05358i | −0.641235 | − | 0.311836i | ||||
\(668\) | − | 11.8803i | − | 0.459663i | ||||||
\(669\) | 40.0393 | − | 11.7566i | 1.54801 | − | 0.454537i | ||||
\(670\) | −26.5807 | − | 24.9818i | −1.02690 | − | 0.965132i | ||||
\(671\) | 53.9645 | − | 34.6809i | 2.08328 | − | 1.33884i | ||||
\(672\) | −2.11252 | + | 0.303734i | −0.0814922 | + | 0.0117168i | ||||
\(673\) | −21.9007 | + | 34.0782i | −0.844210 | + | 1.31362i | 0.103547 | + | 0.994625i | \(0.466981\pi\) |
−0.947757 | + | 0.318992i | \(0.896656\pi\) | |||||||
\(674\) | 1.87275 | − | 4.10074i | 0.0721355 | − | 0.157955i | ||||
\(675\) | 8.19694 | + | 4.57646i | 0.315500 | + | 0.176148i | ||||
\(676\) | 1.51243 | − | 10.5192i | 0.0581704 | − | 0.404584i | ||||
\(677\) | 22.5137 | − | 10.2817i | 0.865272 | − | 0.395157i | 0.0672152 | − | 0.997738i | \(-0.478589\pi\) |
0.798057 | + | 0.602582i | \(0.205861\pi\) | |||||||
\(678\) | −3.32437 | + | 11.3218i | −0.127672 | + | 0.434810i | ||||
\(679\) | −8.97627 | − | 2.63567i | −0.344478 | − | 0.101148i | ||||
\(680\) | −4.42338 | − | 7.53574i | −0.169629 | − | 0.288982i | ||||
\(681\) | 1.32709 | − | 9.23013i | 0.0508543 | − | 0.353699i | ||||
\(682\) | −30.5246 | − | 26.4497i | −1.16885 | − | 1.01281i | ||||
\(683\) | −6.95452 | − | 3.17602i | −0.266107 | − | 0.121527i | 0.277893 | − | 0.960612i | \(-0.410364\pi\) |
−0.544001 | + | 0.839085i | \(0.683091\pi\) | |||||||
\(684\) | 15.4712 | + | 9.94276i | 0.591558 | + | 0.380171i | ||||
\(685\) | −38.3079 | + | 9.58587i | −1.46367 | + | 0.366257i | ||||
\(686\) | −9.22450 | + | 5.92823i | −0.352193 | + | 0.226341i | ||||
\(687\) | −33.1703 | + | 28.7422i | −1.26552 | + | 1.09658i | ||||
\(688\) | 0.372667 | + | 1.26919i | 0.0142078 | + | 0.0483873i | ||||
\(689\) | 9.79218 | 0.373052 | ||||||||
\(690\) | −5.72700 | + | 27.2116i | −0.218023 | + | 1.03593i | ||||
\(691\) | 12.5218 | 0.476351 | 0.238176 | − | 0.971222i | \(-0.423451\pi\) | ||||
0.238176 | + | 0.971222i | \(0.423451\pi\) | |||||||
\(692\) | −1.47201 | − | 5.01320i | −0.0559574 | − | 0.190573i | ||||
\(693\) | −11.2483 | + | 9.74672i | −0.427288 | + | 0.370247i | ||||
\(694\) | 2.04343 | − | 1.31323i | 0.0775674 | − | 0.0498496i | ||||
\(695\) | −0.200976 | − | 0.803156i | −0.00762344 | − | 0.0304654i | ||||
\(696\) | −8.37636 | − | 5.38316i | −0.317505 | − | 0.204048i | ||||
\(697\) | −13.4118 | − | 6.12496i | −0.508008 | − | 0.232000i | ||||
\(698\) | 21.4294 | + | 18.5687i | 0.811116 | + | 0.702836i | ||||
\(699\) | 8.53799 | − | 59.3830i | 0.322937 | − | 2.24607i | ||||
\(700\) | −3.31748 | + | 2.43509i | −0.125389 | + | 0.0920379i | ||||
\(701\) | 8.90573 | + | 2.61496i | 0.336365 | + | 0.0987656i | 0.445553 | − | 0.895255i | \(-0.353007\pi\) |
−0.109188 | + | 0.994021i | \(0.534825\pi\) | |||||||
\(702\) | −0.814807 | + | 2.77498i | −0.0307529 | + | 0.104735i | ||||
\(703\) | 21.5561 | − | 9.84432i | 0.813002 | − | 0.371286i | ||||
\(704\) | −0.691057 | + | 4.80640i | −0.0260452 | + | 0.181148i | ||||
\(705\) | 20.5178 | − | 29.2566i | 0.772743 | − | 1.10187i | ||||
\(706\) | −3.26482 | + | 7.14897i | −0.122873 | + | 0.269055i | ||||
\(707\) | −3.90290 | + | 6.07303i | −0.146784 | + | 0.228400i | ||||
\(708\) | −3.34925 | + | 0.481550i | −0.125873 | + | 0.0180978i | ||||
\(709\) | −13.9940 | + | 8.99337i | −0.525554 | + | 0.337753i | −0.776366 | − | 0.630283i | \(-0.782939\pi\) |
0.250811 | + | 0.968036i | \(0.419303\pi\) | |||||||
\(710\) | −15.3614 | + | 16.3445i | −0.576502 | + | 0.613398i | ||||
\(711\) | −25.4225 | + | 7.46471i | −0.953417 | + | 0.279949i | ||||
\(712\) | − | 5.47800i | − | 0.205297i | ||||||
\(713\) | 22.3734 | − | 33.0258i | 0.837890 | − | 1.23683i | ||||
\(714\) | 8.34015 | 0.312122 | ||||||||
\(715\) | 6.32763 | + | 15.4818i | 0.236640 | + | 0.578985i | ||||
\(716\) | 2.25075 | + | 2.59751i | 0.0841146 | + | 0.0970734i | ||||
\(717\) | −18.3465 | − | 28.5477i | −0.685163 | − | 1.06613i | ||||
\(718\) | −4.01253 | + | 0.576914i | −0.149746 | + | 0.0215302i | ||||
\(719\) | 31.4661 | + | 20.2221i | 1.17349 | + | 0.754156i | 0.974178 | − | 0.225781i | \(-0.0724932\pi\) |
0.199311 | + | 0.979936i | \(0.436130\pi\) | |||||||
\(720\) | −2.66688 | + | 7.88870i | −0.0993887 | + | 0.293994i | ||||
\(721\) | −1.36157 | + | 1.57134i | −0.0507077 | + | 0.0585198i | ||||
\(722\) | 5.33221 | + | 0.766656i | 0.198444 | + | 0.0285320i | ||||
\(723\) | 1.43800 | − | 0.656712i | 0.0534797 | − | 0.0244234i | ||||
\(724\) | 3.42673 | + | 1.00618i | 0.127354 | + | 0.0373944i | ||||
\(725\) | −19.1365 | − | 1.54968i | −0.710712 | − | 0.0575538i | ||||
\(726\) | 13.5503 | + | 29.6709i | 0.502897 | + | 1.10119i | ||||
\(727\) | 7.50409 | + | 1.07893i | 0.278311 | + | 0.0400151i | 0.280057 | − | 0.959983i | \(-0.409647\pi\) |
−0.00174573 | + | 0.999998i | \(0.500556\pi\) | |||||||
\(728\) | −0.958124 | − | 0.830219i | −0.0355104 | − | 0.0307700i | ||||
\(729\) | 15.8194 | − | 34.6396i | 0.585903 | − | 1.28295i | ||||
\(730\) | 12.3369 | + | 6.24814i | 0.456610 | + | 0.231254i | ||||
\(731\) | −0.735638 | − | 5.11648i | −0.0272086 | − | 0.189240i | ||||
\(732\) | 18.5201 | + | 28.8178i | 0.684522 | + | 1.06514i | ||||
\(733\) | 27.8874 | − | 24.1646i | 1.03005 | − | 0.892540i | 0.0357674 | − | 0.999360i | \(-0.488612\pi\) |
0.994278 | + | 0.106820i | \(0.0340670\pi\) | |||||||
\(734\) | −0.00275890 | 0.000810086i | −0.000101833 | 2.99008e-5i | ||||||
\(735\) | 3.74737 | + | 36.4683i | 0.138224 | + | 1.34515i | ||||
\(736\) | −4.79442 | − | 0.116205i | −0.176725 | − | 0.00428339i | ||||
\(737\) | − | 79.2147i | − | 2.91791i | ||||||
\(738\) | 3.95865 | + | 13.4819i | 0.145720 | + | 0.496276i | ||||
\(739\) | −22.4956 | − | 25.9613i | −0.827514 | − | 0.955002i | 0.172033 | − | 0.985091i | \(-0.444966\pi\) |
−0.999547 | + | 0.0300890i | \(0.990421\pi\) | |||||||
\(740\) | 6.69353 | + | 8.38657i | 0.246059 | + | 0.308296i | ||||
\(741\) | 2.80713 | + | 19.5240i | 0.103122 | + | 0.717233i | ||||
\(742\) | −2.82878 | + | 4.40167i | −0.103848 | + | 0.161590i | ||||
\(743\) | 14.9390 | + | 6.82240i | 0.548057 | + | 0.250289i | 0.670145 | − | 0.742230i | \(-0.266232\pi\) |
−0.122088 | + | 0.992519i | \(0.538959\pi\) | |||||||
\(744\) | 14.1245 | − | 16.3006i | 0.517830 | − | 0.597608i | ||||
\(745\) | −0.0868516 | + | 2.14851i | −0.00318200 | + | 0.0787154i | ||||
\(746\) | 2.33431 | + | 5.11143i | 0.0854652 | + | 0.187143i | ||||
\(747\) | −12.5087 | + | 42.6007i | −0.457670 | + | 1.55868i | ||||
\(748\) | 5.34602 | − | 18.2069i | 0.195470 | − | 0.665709i | ||||
\(749\) | −4.81226 | − | 10.5374i | −0.175836 | − | 0.385028i | ||||
\(750\) | 4.74457 | + | 28.6007i | 0.173247 | + | 1.04435i | ||||
\(751\) | 8.77410 | − | 10.1258i | 0.320171 | − | 0.369497i | −0.572734 | − | 0.819741i | \(-0.694117\pi\) |
0.892906 | + | 0.450244i | \(0.148663\pi\) | |||||||
\(752\) | 5.60592 | + | 2.56014i | 0.204427 | + | 0.0933587i | ||||
\(753\) | −15.5804 | + | 24.2436i | −0.567782 | + | 0.883486i | ||||
\(754\) | −0.841741 | − | 5.85444i | −0.0306544 | − | 0.213206i | ||||
\(755\) | −35.7154 | + | 28.5054i | −1.29982 | + | 1.03742i | ||||
\(756\) | −1.01199 | − | 1.16790i | −0.0368058 | − | 0.0424762i | ||||
\(757\) | 6.88700 | + | 23.4550i | 0.250312 | + | 0.852485i | 0.984775 | + | 0.173836i | \(0.0556162\pi\) |
−0.734462 | + | 0.678649i | \(0.762566\pi\) | |||||||
\(758\) | − | 17.5366i | − | 0.636958i | ||||||
\(759\) | −51.5770 | + | 31.4072i | −1.87213 | + | 1.14001i | ||||
\(760\) | 1.12874 | + | 10.9846i | 0.0409438 | + | 0.398453i | ||||
\(761\) | −17.2773 | + | 5.07309i | −0.626303 | + | 0.183899i | −0.579457 | − | 0.815003i | \(-0.696735\pi\) |
−0.0468464 | + | 0.998902i | \(0.514917\pi\) | |||||||
\(762\) | 35.7289 | − | 30.9593i | 1.29432 | − | 1.12154i | ||||
\(763\) | 0.000334080 | 0 | 0.000519838i | 1.20945e−5 | 0 | 1.88194e-5i | ||||
\(764\) | −0.737752 | − | 5.13118i | −0.0266909 | − | 0.185640i | ||||
\(765\) | 14.7027 | − | 29.0304i | 0.531576 | − | 1.04959i | ||||
\(766\) | −2.74884 | + | 6.01912i | −0.0993196 | + | 0.217480i | ||||
\(767\) | −1.51904 | − | 1.31626i | −0.0548493 | − | 0.0475272i | ||||
\(768\) | −2.56669 | − | 0.369034i | −0.0926174 | − | 0.0133164i | ||||
\(769\) | −8.01981 | − | 17.5609i | −0.289202 | − | 0.633264i | 0.708144 | − | 0.706068i | \(-0.249533\pi\) |
−0.997346 | + | 0.0728039i | \(0.976805\pi\) | |||||||
\(770\) | −8.78712 | − | 1.62807i | −0.316666 | − | 0.0586716i | ||||
\(771\) | 20.6357 | + | 6.05919i | 0.743177 | + | 0.218216i | ||||
\(772\) | 15.1412 | − | 6.91475i | 0.544943 | − | 0.248867i | ||||
\(773\) | −10.9151 | − | 1.56936i | −0.392590 | − | 0.0564459i | −0.0568066 | − | 0.998385i | \(-0.518092\pi\) |
−0.335783 | + | 0.941939i | \(0.609001\pi\) | |||||||
\(774\) | −3.22591 | + | 3.72290i | −0.115953 | + | 0.133817i | ||||
\(775\) | 9.22216 | − | 40.5537i | 0.331270 | − | 1.45673i | ||||
\(776\) | −9.56211 | − | 6.14520i | −0.343260 | − | 0.220600i | ||||
\(777\) | −10.1374 | + | 1.45753i | −0.363676 | + | 0.0522887i | ||||
\(778\) | 15.8406 | + | 24.6485i | 0.567913 | + | 0.883691i | ||||
\(779\) | 12.2017 | + | 14.0815i | 0.437171 | + | 0.504522i | ||||
\(780\) | −8.26748 | + | 3.37905i | −0.296023 | + | 0.120989i | ||||
\(781\) | −48.7093 | −1.74296 | ||||||||
\(782\) | 18.4802 | + | 3.11583i | 0.660851 | + | 0.111422i | ||||
\(783\) | − | 7.20964i | − | 0.257651i | ||||||
\(784\) | −6.06648 | + | 1.78128i | −0.216660 | + | 0.0636171i | ||||
\(785\) | 29.6175 | − | 31.5130i | 1.05709 | − | 1.12475i | ||||
\(786\) | −42.7882 | + | 27.4983i | −1.52620 | + | 0.980832i | ||||
\(787\) | −3.16277 | + | 0.454737i | −0.112741 | + | 0.0162096i | −0.198454 | − | 0.980110i | \(-0.563592\pi\) |
0.0857136 | + | 0.996320i | \(0.472683\pi\) | |||||||
\(788\) | 0.379898 | − | 0.591133i | 0.0135333 | − | 0.0210582i | ||||
\(789\) | 4.33689 | − | 9.49646i | 0.154397 | − | 0.338083i | ||||
\(790\) | −13.0252 | − | 9.13460i | −0.463414 | − | 0.324994i | ||||
\(791\) | 0.533008 | − | 3.70715i | 0.0189516 | − | 0.131811i | ||||
\(792\) | −16.4493 | + | 7.51215i | −0.584501 | + | 0.266933i | ||||
\(793\) | −5.73286 | + | 19.5243i | −0.203580 | + | 0.693329i | ||||
\(794\) | 17.0018 | + | 4.99217i | 0.603371 | + | 0.177166i | ||||
\(795\) | 18.6597 | + | 31.7889i | 0.661790 | + | 1.12743i | ||||
\(796\) | 3.60335 | − | 25.0619i | 0.127717 | − | 0.888294i | ||||
\(797\) | 27.3779 | + | 23.7231i | 0.969777 | + | 0.840316i | 0.987193 | − | 0.159532i | \(-0.0509986\pi\) |
−0.0174162 | + | 0.999848i | \(0.505544\pi\) | |||||||
\(798\) | −9.58714 | − | 4.37830i | −0.339381 | − | 0.154990i | ||||
\(799\) | −20.2599 | − | 13.0203i | −0.716745 | − | 0.460624i | ||||
\(800\) | −4.70097 | + | 1.70319i | −0.166205 | + | 0.0602168i | ||||
\(801\) | 17.1620 | − | 11.0293i | 0.606389 | − | 0.389703i | ||||
\(802\) | −8.62275 | + | 7.47165i | −0.304480 | + | 0.263833i | ||||
\(803\) | 8.46064 | + | 28.8143i | 0.298570 | + | 1.01683i | ||||
\(804\) | 42.3018 | 1.49187 | ||||||||
\(805\) | 0.570087 | − | 8.80782i | 0.0200929 | − | 0.310435i | ||||
\(806\) | 12.8122 | 0.451292 | ||||||||
\(807\) | −12.2491 | − | 41.7166i | −0.431189 | − | 1.46849i | ||||
\(808\) | −6.62871 | + | 5.74381i | −0.233197 | + | 0.202067i | ||||
\(809\) | −22.2577 | + | 14.3041i | −0.782538 | + | 0.502907i | −0.869875 | − | 0.493272i | \(-0.835801\pi\) |
0.0873372 | + | 0.996179i | \(0.472164\pi\) | |||||||
\(810\) | 13.6734 | − | 3.42153i | 0.480435 | − | 0.120220i | ||||
\(811\) | 40.7874 | + | 26.2125i | 1.43224 | + | 0.920445i | 0.999824 | + | 0.0187703i | \(0.00597513\pi\) |
0.432416 | + | 0.901674i | \(0.357661\pi\) | |||||||
\(812\) | 2.87478 | + | 1.31287i | 0.100885 | + | 0.0460727i | ||||
\(813\) | 19.7460 | + | 17.1100i | 0.692524 | + | 0.600075i | ||||
\(814\) | −3.31618 | + | 23.0645i | −0.116232 | + | 0.808411i | ||||
\(815\) | −38.6619 | + | 22.6941i | −1.35427 | + | 0.794938i | ||||
\(816\) | 9.72273 | + | 2.85485i | 0.340364 | + | 0.0999398i | ||||
\(817\) | −1.84035 | + | 6.26766i | −0.0643858 | + | 0.219278i | ||||
\(818\) | −2.78773 | + | 1.27311i | −0.0974707 | + | 0.0445134i | ||||
\(819\) | 0.671912 | − | 4.67325i | 0.0234785 | − | 0.163297i | ||||
\(820\) | −4.84422 | + | 6.90744i | −0.169167 | + | 0.241218i | ||||
\(821\) | −7.21762 | + | 15.8044i | −0.251897 | + | 0.551577i | −0.992765 | − | 0.120073i | \(-0.961687\pi\) |
0.740868 | + | 0.671650i | \(0.234414\pi\) | |||||||
\(822\) | 24.7581 | − | 38.5243i | 0.863537 | − | 1.34369i | ||||
\(823\) | 17.9007 | − | 2.57373i | 0.623979 | − | 0.0897147i | 0.176929 | − | 0.984224i | \(-0.443384\pi\) |
0.447050 | + | 0.894509i | \(0.352475\pi\) | |||||||
\(824\) | −2.12516 | + | 1.36576i | −0.0740335 | + | 0.0475784i | ||||
\(825\) | −38.2015 | + | 50.0433i | −1.33001 | + | 1.74228i | ||||
\(826\) | 1.03049 | − | 0.302579i | 0.0358554 | − | 0.0105281i | ||||
\(827\) | − | 28.4098i | − | 0.987904i | −0.869489 | − | 0.493952i | \(-0.835552\pi\) | ||
0.869489 | − | 0.493952i | \(-0.164448\pi\) | |||||||
\(828\) | −9.28898 | − | 15.2544i | −0.322814 | − | 0.530126i | ||||
\(829\) | 26.4729 | 0.919441 | 0.459720 | − | 0.888064i | \(-0.347950\pi\) | ||||
0.459720 | + | 0.888064i | \(0.347950\pi\) | |||||||
\(830\) | −24.6773 | + | 10.0860i | −0.856561 | + | 0.350090i | ||||
\(831\) | −34.8464 | − | 40.2148i | −1.20881 | − | 1.39504i | ||||
\(832\) | −0.832770 | − | 1.29582i | −0.0288711 | − | 0.0449243i | ||||
\(833\) | 24.4558 | − | 3.51621i | 0.847343 | − | 0.121829i | ||||
\(834\) | 0.807693 | + | 0.519073i | 0.0279681 | + | 0.0179740i | ||||
\(835\) | 25.1660 | + | 8.50770i | 0.870906 | + | 0.294421i | ||||
\(836\) | −15.7033 | + | 18.1226i | −0.543111 | + | 0.626784i | ||||
\(837\) | 15.4585 | + | 2.22259i | 0.534323 | + | 0.0768241i | ||||
\(838\) | 30.3090 | − | 13.8417i | 1.04701 | − | 0.478152i | ||||
\(839\) | 33.0440 | + | 9.70260i | 1.14081 | + | 0.334971i | 0.796947 | − | 0.604050i | \(-0.206447\pi\) |
0.343860 | + | 0.939021i | \(0.388265\pi\) | |||||||
\(840\) | 0.869413 | − | 4.69245i | 0.0299976 | − | 0.161905i | ||||
\(841\) | −5.92204 | − | 12.9674i | −0.204208 | − | 0.447153i | ||||
\(842\) | −31.8987 | − | 4.58635i | −1.09930 | − | 0.158056i | ||||
\(843\) | −48.5591 | − | 42.0767i | −1.67247 | − | 1.44920i | ||||
\(844\) | 1.54098 | − | 3.37427i | 0.0530426 | − | 0.116147i | ||||
\(845\) | 21.1997 | + | 10.7367i | 0.729290 | + | 0.369355i | ||||
\(846\) | 3.26626 | + | 22.7173i | 0.112296 | + | 0.781037i | ||||
\(847\) | −5.59738 | − | 8.70970i | −0.192328 | − | 0.299269i | ||||
\(848\) | −4.80442 | + | 4.16305i | −0.164984 | + | 0.142960i | ||||
\(849\) | −23.7363 | + | 6.96961i | −0.814628 | + | 0.239196i | ||||
\(850\) | 19.1306 | − | 3.97356i | 0.656174 | − | 0.136292i | ||||
\(851\) | −23.0070 | − | 0.557636i | −0.788671 | − | 0.0191155i | ||||
\(852\) | − | 26.0115i | − | 0.891138i | ||||||
\(853\) | 10.8566 | + | 36.9743i | 0.371724 | + | 1.26598i | 0.906939 | + | 0.421261i | \(0.138412\pi\) |
−0.535215 | + | 0.844716i | \(0.679769\pi\) | |||||||
\(854\) | −7.12023 | − | 8.21719i | −0.243649 | − | 0.281186i | ||||
\(855\) | −32.1409 | + | 25.6525i | −1.09920 | + | 0.877296i | ||||
\(856\) | −2.00304 | − | 13.9315i | −0.0684625 | − | 0.476167i | ||||
\(857\) | 27.1591 | − | 42.2605i | 0.927739 | − | 1.44359i | 0.0317588 | − | 0.999496i | \(-0.489889\pi\) |
0.895980 | − | 0.444094i | \(-0.146474\pi\) | |||||||
\(858\) | −17.6426 | − | 8.05709i | −0.602308 | − | 0.275065i | ||||
\(859\) | −23.9776 | + | 27.6716i | −0.818103 | + | 0.944142i | −0.999227 | − | 0.0393187i | \(-0.987481\pi\) |
0.181123 | + | 0.983460i | \(0.442027\pi\) | |||||||
\(860\) | −2.95539 | − | 0.119469i | −0.100778 | − | 0.00407385i | ||||
\(861\) | −3.34516 | − | 7.32489i | −0.114003 | − | 0.249631i | ||||
\(862\) | 2.54335 | − | 8.66184i | 0.0866267 | − | 0.295023i | ||||
\(863\) | −6.65724 | + | 22.6725i | −0.226615 | + | 0.771781i | 0.765166 | + | 0.643833i | \(0.222657\pi\) |
−0.991781 | + | 0.127947i | \(0.959161\pi\) | |||||||
\(864\) | −0.779980 | − | 1.70792i | −0.0265355 | − | 0.0581046i | ||||
\(865\) | 11.6736 | + | 0.471893i | 0.396913 | + | 0.0160448i | ||||
\(866\) | 11.3110 | − | 13.0536i | 0.384363 | − | 0.443579i | ||||
\(867\) | 4.07891 | + | 1.86277i | 0.138527 | + | 0.0632631i | ||||
\(868\) | −3.70122 | + | 5.75921i | −0.125628 | + | 0.195480i | ||||
\(869\) | −4.91667 | − | 34.1962i | −0.166787 | − | 1.16003i | ||||
\(870\) | 17.4016 | − | 13.8886i | 0.589969 | − | 0.470868i | ||||
\(871\) | 16.4554 | + | 18.9905i | 0.557569 | + | 0.643469i | ||||
\(872\) | 0.000211520 | 0 | 0.000720370i | 7.16296e−6 | 0 | 2.43948e-5i | ||||
\(873\) | − | 42.3297i | − | 1.43264i | ||||||
\(874\) | −19.6076 | − | 13.2832i | −0.663238 | − | 0.449311i | ||||
\(875\) | −2.78254 | − | 8.77122i | −0.0940670 | − | 0.296521i | ||||
\(876\) | −15.3873 | + | 4.51811i | −0.519887 | + | 0.152653i | ||||
\(877\) | 11.0096 | − | 9.53985i | 0.371767 | − | 0.322138i | −0.448860 | − | 0.893602i | \(-0.648170\pi\) |
0.820627 | + | 0.571464i | \(0.193624\pi\) | |||||||
\(878\) | 7.06877 | + | 10.9992i | 0.238560 | + | 0.371206i | ||||
\(879\) | 6.38315 | + | 44.3958i | 0.215298 | + | 1.49743i | ||||
\(880\) | −9.68651 | − | 4.90581i | −0.326532 | − | 0.165375i | ||||
\(881\) | −6.02503 | + | 13.1930i | −0.202988 | + | 0.444483i | −0.983559 | − | 0.180584i | \(-0.942201\pi\) |
0.780571 | + | 0.625067i | \(0.214928\pi\) | |||||||
\(882\) | −17.7947 | − | 15.4192i | −0.599180 | − | 0.519192i | ||||
\(883\) | 14.1330 | + | 2.03202i | 0.475613 | + | 0.0683828i | 0.375953 | − | 0.926639i | \(-0.377315\pi\) |
0.0996597 | + | 0.995022i | \(0.468225\pi\) | |||||||
\(884\) | 2.50051 | + | 5.47535i | 0.0841012 | + | 0.184156i | ||||
\(885\) | 1.37839 | − | 7.43956i | 0.0463342 | − | 0.250078i | ||||
\(886\) | −21.7922 | − | 6.39878i | −0.732125 | − | 0.214971i | ||||
\(887\) | −3.65322 | + | 1.66837i | −0.122663 | + | 0.0560183i | −0.475801 | − | 0.879553i | \(-0.657842\pi\) |
0.353138 | + | 0.935571i | \(0.385115\pi\) | |||||||
\(888\) | −12.3168 | − | 1.77089i | −0.413324 | − | 0.0594271i | ||||
\(889\) | −9.82656 | + | 11.3405i | −0.329572 | + | 0.380347i | ||||
\(890\) | 11.6040 | + | 3.92289i | 0.388968 | + | 0.131496i | ||||
\(891\) | 25.7496 | + | 16.5483i | 0.862644 | + | 0.554388i | ||||
\(892\) | −15.9289 | + | 2.29023i | −0.533339 | + | 0.0766825i | ||||
\(893\) | 16.4539 | + | 25.6028i | 0.550610 | + | 0.856766i | ||||
\(894\) | −1.63295 | − | 1.88452i | −0.0546140 | − | 0.0630279i | ||||
\(895\) | −7.11409 | + | 2.90764i | −0.237798 | + | 0.0971917i | ||||
\(896\) | 0.823052 | 0.0274962 | ||||||||
\(897\) | 5.84053 | − | 18.2435i | 0.195010 | − | 0.609134i | ||||
\(898\) | − | 2.31630i | − | 0.0772958i | ||||||
\(899\) | −30.6452 | + | 8.99824i | −1.02207 | + | 0.300108i | ||||
\(900\) | −14.8008 | − | 11.2985i | −0.493360 | − | 0.376616i | ||||
\(901\) | 20.8987 | − | 13.4308i | 0.696237 | − | 0.447445i | ||||
\(902\) | −18.1348 | + | 2.60738i | −0.603821 | + | 0.0868164i | ||||
\(903\) | 1.52629 | − | 2.37495i | 0.0507917 | − | 0.0790335i | ||||
\(904\) | 1.89033 | − | 4.13925i | 0.0628715 | − | 0.137669i | ||||
\(905\) | −4.58533 | + | 6.53829i | −0.152422 | + | 0.217340i | ||||
\(906\) | 7.54157 | − | 52.4528i | 0.250552 | − | 1.74263i | ||||
\(907\) | −45.7095 | + | 20.8748i | −1.51776 | + | 0.693137i | −0.987920 | − | 0.154963i | \(-0.950474\pi\) |
−0.529837 | + | 0.848099i | \(0.677747\pi\) | |||||||
\(908\) | −1.01314 | + | 3.45045i | −0.0336224 | + | 0.114507i | ||||
\(909\) | −31.3409 | − | 9.20253i | −1.03951 | − | 0.305229i | ||||
\(910\) | 2.44478 | − | 1.43505i | 0.0810436 | − | 0.0475716i | ||||
\(911\) | 3.28382 | − | 22.8394i | 0.108798 | − | 0.756704i | −0.860257 | − | 0.509860i | \(-0.829697\pi\) |
0.969055 | − | 0.246844i | \(-0.0793937\pi\) | |||||||
\(912\) | −9.67774 | − | 8.38581i | −0.320462 | − | 0.277682i | ||||
\(913\) | −52.6606 | − | 24.0493i | −1.74281 | − | 0.795915i | ||||
\(914\) | −19.5300 | − | 12.5512i | −0.645995 | − | 0.415156i | ||||
\(915\) | −74.3072 | + | 18.5941i | −2.45652 | + | 0.614701i | ||||
\(916\) | 14.2391 | − | 9.15089i | 0.470472 | − | 0.302354i | ||||
\(917\) | 12.2007 | − | 10.5720i | 0.402904 | − | 0.349118i | ||||
\(918\) | 2.06713 | + | 7.04001i | 0.0682255 | + | 0.232355i | ||||
\(919\) | −0.729666 | −0.0240695 | −0.0120347 | − | 0.999928i | \(-0.503831\pi\) | ||||
−0.0120347 | + | 0.999928i | \(0.503831\pi\) | |||||||
\(920\) | 3.67953 | − | 10.0728i | 0.121310 | − | 0.332090i | ||||
\(921\) | −25.5491 | −0.841873 | ||||||||
\(922\) | 2.27200 | + | 7.73771i | 0.0748242 | + | 0.254828i | ||||
\(923\) | 11.6773 | − | 10.1184i | 0.384363 | − | 0.333053i | ||||
\(924\) | 8.71835 | − | 5.60294i | 0.286812 | − | 0.184323i | ||||
\(925\) | −22.5586 | + | 8.17310i | −0.741722 | + | 0.268730i | ||||
\(926\) | −14.1512 | − | 9.09440i | −0.465036 | − | 0.298861i | ||||
\(927\) | −8.55755 | − | 3.90810i | −0.281067 | − | 0.128359i | ||||
\(928\) | 2.90195 | + | 2.51455i | 0.0952612 | + | 0.0825443i | ||||
\(929\) | −0.650532 | + | 4.52455i | −0.0213433 | + | 0.148446i | −0.997706 | − | 0.0676913i | \(-0.978437\pi\) |
0.976363 | + | 0.216137i | \(0.0693458\pi\) | |||||||
\(930\) | 24.4146 | + | 41.5931i | 0.800587 | + | 1.36389i | ||||
\(931\) | −29.9582 | − | 8.79653i | −0.981841 | − | 0.288295i | ||||
\(932\) | −6.51818 | + | 22.1989i | −0.213510 | + | 0.727148i | ||||
\(933\) | 19.8277 | − | 9.05502i | 0.649131 | − | 0.296448i | ||||
\(934\) | −2.68054 | + | 18.6435i | −0.0877098 | + | 0.610035i | ||||
\(935\) | 34.7391 | + | 24.3627i | 1.13609 | + | 0.796746i | ||||
\(936\) | 2.38296 | − | 5.21796i | 0.0778896 | − | 0.170554i | ||||
\(937\) | −2.90788 | + | 4.52475i | −0.0949963 | + | 0.147817i | −0.885499 | − | 0.464642i | \(-0.846183\pi\) |
0.790502 | + | 0.612459i | \(0.209819\pi\) | |||||||
\(938\) | −13.2901 | + | 1.91082i | −0.433936 | + | 0.0623905i | ||||
\(939\) | 41.3586 | − | 26.5796i | 1.34969 | − | 0.867391i | ||||
\(940\) | −9.43763 | + | 10.0416i | −0.307822 | + | 0.327522i | ||||
\(941\) | −34.0729 | + | 10.0047i | −1.11075 | + | 0.326144i | −0.785113 | − | 0.619352i | \(-0.787395\pi\) |
−0.325632 | + | 0.945497i | \(0.605577\pi\) | |||||||
\(942\) | 50.1514i | 1.63402i | ||||||||
\(943\) | −4.67573 | − | 17.4803i | −0.152263 | − | 0.569238i | ||||
\(944\) | 1.30489 | 0.0424706 | ||||||||
\(945\) | 3.19867 | − | 1.30735i | 0.104053 | − | 0.0425279i | ||||
\(946\) | −4.20626 | − | 4.85429i | −0.136757 | − | 0.157827i | ||||
\(947\) | −3.05738 | − | 4.75737i | −0.0993514 | − | 0.154594i | 0.788019 | − | 0.615651i | \(-0.211107\pi\) |
−0.887371 | + | 0.461057i | \(0.847470\pi\) | |||||||
\(948\) | 18.2613 | − | 2.62557i | 0.593098 | − | 0.0852746i | ||||
\(949\) | −8.01394 | − | 5.15025i | −0.260144 | − | 0.167184i | ||||
\(950\) | −24.0769 | − | 5.47525i | −0.781158 | − | 0.177640i | ||||
\(951\) | −32.5013 | + | 37.5085i | −1.05393 | + | 1.21630i | ||||
\(952\) | −3.18357 | − | 0.457728i | −0.103180 | − | 0.0148351i | ||||
\(953\) | −29.5781 | + | 13.5079i | −0.958129 | + | 0.437563i | −0.832200 | − | 0.554476i | \(-0.812919\pi\) |
−0.125930 | + | 0.992039i | \(0.540191\pi\) | |||||||
\(954\) | −22.7156 | − | 6.66989i | −0.735443 | − | 0.215946i | ||||
\(955\) | 11.3977 | + | 2.11175i | 0.368820 | + | 0.0683347i | ||||
\(956\) | 5.43639 | + | 11.9040i | 0.175825 | + | 0.385004i | ||||
\(957\) | 47.8573 | + | 6.88085i | 1.54701 | + | 0.222426i | ||||
\(958\) | −4.65778 | − | 4.03599i | −0.150486 | − | 0.130397i | ||||
\(959\) | −6.03811 | + | 13.2216i | −0.194981 | + | 0.426948i | ||||
\(960\) | 2.61977 | − | 5.17273i | 0.0845529 | − | 0.166949i | ||||
\(961\) | −5.43442 | − | 37.7972i | −0.175304 | − | 1.21926i | ||||
\(962\) | −3.99622 | − | 6.21824i | −0.128843 | − | 0.200484i | ||||
\(963\) | 39.6129 | − | 34.3247i | 1.27651 | − | 1.10610i | ||||
\(964\) | −0.584949 | + | 0.171757i | −0.0188399 | + | 0.00553191i | ||||
\(965\) | 3.80461 | + | 37.0253i | 0.122475 | + | 1.19189i | ||||
\(966\) | 6.51340 | + | 7.89559i | 0.209565 | + | 0.254036i | ||||
\(967\) | − | 9.73914i | − | 0.313190i | −0.987663 | − | 0.156595i | \(-0.949948\pi\) | ||
0.987663 | − | 0.156595i | \(-0.0500517\pi\) | |||||||
\(968\) | −3.54394 | − | 12.0695i | −0.113906 | − | 0.387930i | ||||
\(969\) | 32.7699 | + | 37.8185i | 1.05272 | + | 1.21490i | ||||
\(970\) | 19.8649 | − | 15.8547i | 0.637825 | − | 0.509063i | ||||
\(971\) | 3.76382 | + | 26.1780i | 0.120787 | + | 0.840091i | 0.956668 | + | 0.291181i | \(0.0940481\pi\) |
−0.835881 | + | 0.548910i | \(0.815043\pi\) | |||||||
\(972\) | −11.8823 | + | 18.4893i | −0.381126 | + | 0.593043i | ||||
\(973\) | −0.277202 | − | 0.126594i | −0.00888669 | − | 0.00405841i | ||||
\(974\) | −17.0126 | + | 19.6336i | −0.545119 | + | 0.629101i | ||||
\(975\) | −1.23733 | − | 19.9328i | −0.0396262 | − | 0.638360i | ||||
\(976\) | −5.48782 | − | 12.0167i | −0.175661 | − | 0.384644i | ||||
\(977\) | −4.46090 | + | 15.1924i | −0.142717 | + | 0.486049i | −0.999564 | − | 0.0295211i | \(-0.990602\pi\) |
0.856847 | + | 0.515570i | \(0.172420\pi\) | |||||||
\(978\) | 14.6467 | − | 49.8822i | 0.468351 | − | 1.59506i | ||||
\(979\) | 11.0501 | + | 24.1964i | 0.353164 | + | 0.773321i | ||||
\(980\) | 0.571038 | − | 14.1262i | 0.0182411 | − | 0.451245i | ||||
\(981\) | −0.00183097 | + | 0.00211305i | −5.84584e−5 | + | 6.74646e-5i | ||||
\(982\) | −22.8577 | − | 10.4388i | −0.729418 | − | 0.333114i | ||||
\(983\) | 6.27372 | − | 9.76210i | 0.200101 | − | 0.311363i | −0.726673 | − | 0.686984i | \(-0.758934\pi\) |
0.926773 | + | 0.375621i | \(0.122571\pi\) | |||||||
\(984\) | −1.39238 | − | 9.68422i | −0.0443875 | − | 0.308722i | ||||
\(985\) | 0.980142 | + | 1.22806i | 0.0312299 | + | 0.0391291i | ||||
\(986\) | −9.82632 | − | 11.3402i | −0.312934 | − | 0.361145i | ||||
\(987\) | −3.70563 | − | 12.6202i | −0.117952 | − | 0.401706i | ||||
\(988\) | − | 7.60669i | − | 0.242001i | ||||||
\(989\) | 4.26924 | − | 4.69224i | 0.135754 | − | 0.149205i | ||||
\(990\) | −4.13331 | − | 40.2241i | −0.131365 | − | 1.27841i | ||||
\(991\) | −13.9859 | + | 4.10664i | −0.444278 | + | 0.130452i | −0.496217 | − | 0.868199i | \(-0.665278\pi\) |
0.0519393 | + | 0.998650i | \(0.483460\pi\) | |||||||
\(992\) | −6.28618 | + | 5.44700i | −0.199586 | + | 0.172943i | ||||
\(993\) | 43.6704 | + | 67.9525i | 1.38584 | + | 2.15641i | ||||
\(994\) | 1.17497 | + | 8.17208i | 0.0372677 | + | 0.259203i | ||||
\(995\) | 50.5080 | + | 25.5802i | 1.60121 | + | 0.810947i | ||||
\(996\) | 12.8427 | − | 28.1215i | 0.406935 | − | 0.891064i | ||||
\(997\) | 24.9858 | + | 21.6503i | 0.791309 | + | 0.685673i | 0.953602 | − | 0.301069i | \(-0.0973436\pi\) |
−0.162293 | + | 0.986743i | \(0.551889\pi\) | |||||||
\(998\) | 13.7163 | + | 1.97210i | 0.434181 | + | 0.0624259i | ||||
\(999\) | −3.74290 | − | 8.19580i | −0.118420 | − | 0.259304i |
(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 | 230.2.j.a.9.12 | yes | 120 | |
5.4 | even | 2 | inner | 230.2.j.a.9.1 | ✓ | 120 | |
23.18 | even | 11 | inner | 230.2.j.a.179.1 | yes | 120 | |
115.64 | even | 22 | inner | 230.2.j.a.179.12 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.2.j.a.9.1 | ✓ | 120 | 5.4 | even | 2 | inner | |
230.2.j.a.9.12 | yes | 120 | 1.1 | even | 1 | trivial | |
230.2.j.a.179.1 | yes | 120 | 23.18 | even | 11 | inner | |
230.2.j.a.179.12 | yes | 120 | 115.64 | even | 22 | inner |