Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 5 x^{19} + 8 x^{18} - 32 x^{17} + 277 x^{16} - 1138 x^{15} + 2950 x^{14} - 6404 x^{13} + \cdots + 7921 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 121.1 | ||
Root | \(-2.75487 - 1.77045i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 690.121 |
Dual form | 690.2.m.d.211.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{9}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.415415 | − | 0.909632i | 0.293743 | − | 0.643207i | ||||
\(3\) | 0.959493 | + | 0.281733i | 0.553964 | + | 0.162658i | ||||
\(4\) | −0.654861 | − | 0.755750i | −0.327430 | − | 0.377875i | ||||
\(5\) | −0.841254 | + | 0.540641i | −0.376220 | + | 0.241782i | ||||
\(6\) | 0.654861 | − | 0.755750i | 0.267346 | − | 0.308533i | ||||
\(7\) | −0.257432 | + | 1.79048i | −0.0973003 | + | 0.676738i | 0.881539 | + | 0.472110i | \(0.156508\pi\) |
−0.978840 | + | 0.204628i | \(0.934401\pi\) | |||||||
\(8\) | −0.959493 | + | 0.281733i | −0.339232 | + | 0.0996075i | ||||
\(9\) | 0.841254 | + | 0.540641i | 0.280418 | + | 0.180214i | ||||
\(10\) | 0.142315 | + | 0.989821i | 0.0450039 | + | 0.313009i | ||||
\(11\) | 2.50531 | + | 5.48586i | 0.755378 | + | 1.65405i | 0.756453 | + | 0.654048i | \(0.226931\pi\) |
−0.00107441 | + | 0.999999i | \(0.500342\pi\) | |||||||
\(12\) | −0.415415 | − | 0.909632i | −0.119920 | − | 0.262588i | ||||
\(13\) | −0.456463 | − | 3.17477i | −0.126600 | − | 0.880522i | −0.949819 | − | 0.312799i | \(-0.898733\pi\) |
0.823220 | − | 0.567723i | \(-0.192176\pi\) | |||||||
\(14\) | 1.52174 | + | 0.977962i | 0.406702 | + | 0.261371i | ||||
\(15\) | −0.959493 | + | 0.281733i | −0.247740 | + | 0.0727430i | ||||
\(16\) | −0.142315 | + | 0.989821i | −0.0355787 | + | 0.247455i | ||||
\(17\) | 2.98566 | − | 3.44564i | 0.724129 | − | 0.835690i | −0.267668 | − | 0.963511i | \(-0.586253\pi\) |
0.991797 | + | 0.127822i | \(0.0407985\pi\) | |||||||
\(18\) | 0.841254 | − | 0.540641i | 0.198285 | − | 0.127430i | ||||
\(19\) | 4.90662 | + | 5.66254i | 1.12566 | + | 1.29908i | 0.949167 | + | 0.314773i | \(0.101928\pi\) |
0.176489 | + | 0.984303i | \(0.443526\pi\) | |||||||
\(20\) | 0.959493 | + | 0.281733i | 0.214549 | + | 0.0629973i | ||||
\(21\) | −0.751442 | + | 1.64543i | −0.163978 | + | 0.359062i | ||||
\(22\) | 6.03085 | 1.28578 | ||||||||
\(23\) | 2.37095 | + | 4.16877i | 0.494377 | + | 0.869248i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 0.415415 | − | 0.909632i | 0.0830830 | − | 0.181926i | ||||
\(26\) | −3.07749 | − | 0.903633i | −0.603546 | − | 0.177217i | ||||
\(27\) | 0.654861 | + | 0.755750i | 0.126028 | + | 0.145444i | ||||
\(28\) | 1.52174 | − | 0.977962i | 0.287581 | − | 0.184817i | ||||
\(29\) | 4.49513 | − | 5.18766i | 0.834725 | − | 0.963324i | −0.165012 | − | 0.986292i | \(-0.552766\pi\) |
0.999736 | + | 0.0229681i | \(0.00731161\pi\) | |||||||
\(30\) | −0.142315 | + | 0.989821i | −0.0259830 | + | 0.180716i | ||||
\(31\) | −7.21804 | + | 2.11941i | −1.29640 | + | 0.380657i | −0.855921 | − | 0.517107i | \(-0.827009\pi\) |
−0.440477 | + | 0.897764i | \(0.645191\pi\) | |||||||
\(32\) | 0.841254 | + | 0.540641i | 0.148714 | + | 0.0955727i | ||||
\(33\) | 0.858280 | + | 5.96947i | 0.149407 | + | 1.03915i | ||||
\(34\) | −1.89397 | − | 4.14722i | −0.324814 | − | 0.711243i | ||||
\(35\) | −0.751442 | − | 1.64543i | −0.127017 | − | 0.278128i | ||||
\(36\) | −0.142315 | − | 0.989821i | −0.0237191 | − | 0.164970i | ||||
\(37\) | −1.25926 | − | 0.809276i | −0.207021 | − | 0.133044i | 0.433022 | − | 0.901383i | \(-0.357447\pi\) |
−0.640043 | + | 0.768339i | \(0.721083\pi\) | |||||||
\(38\) | 7.18911 | − | 2.11091i | 1.16623 | − | 0.342435i | ||||
\(39\) | 0.456463 | − | 3.17477i | 0.0730925 | − | 0.508370i | ||||
\(40\) | 0.654861 | − | 0.755750i | 0.103543 | − | 0.119494i | ||||
\(41\) | 0.128152 | − | 0.0823581i | 0.0200139 | − | 0.0128622i | −0.530596 | − | 0.847625i | \(-0.678032\pi\) |
0.550610 | + | 0.834763i | \(0.314395\pi\) | |||||||
\(42\) | 1.18457 | + | 1.36707i | 0.182784 | + | 0.210944i | ||||
\(43\) | −4.19808 | − | 1.23267i | −0.640202 | − | 0.187980i | −0.0545088 | − | 0.998513i | \(-0.517359\pi\) |
−0.585693 | + | 0.810533i | \(0.699177\pi\) | |||||||
\(44\) | 2.50531 | − | 5.48586i | 0.377689 | − | 0.827024i | ||||
\(45\) | −1.00000 | −0.149071 | ||||||||
\(46\) | 4.77697 | − | 0.424923i | 0.704326 | − | 0.0626515i | ||||
\(47\) | 4.07021 | 0.593700 | 0.296850 | − | 0.954924i | \(-0.404064\pi\) | ||||
0.296850 | + | 0.954924i | \(0.404064\pi\) | |||||||
\(48\) | −0.415415 | + | 0.909632i | −0.0599600 | + | 0.131294i | ||||
\(49\) | 3.57690 | + | 1.05027i | 0.510985 | + | 0.150039i | ||||
\(50\) | −0.654861 | − | 0.755750i | −0.0926113 | − | 0.106879i | ||||
\(51\) | 3.83547 | − | 2.46491i | 0.537073 | − | 0.345156i | ||||
\(52\) | −2.10041 | + | 2.42400i | −0.291274 | + | 0.336149i | ||||
\(53\) | −0.323199 | + | 2.24790i | −0.0443947 | + | 0.308772i | 0.955510 | + | 0.294959i | \(0.0953061\pi\) |
−0.999905 | + | 0.0138130i | \(0.995603\pi\) | |||||||
\(54\) | 0.959493 | − | 0.281733i | 0.130570 | − | 0.0383389i | ||||
\(55\) | −5.07348 | − | 3.26052i | −0.684107 | − | 0.439649i | ||||
\(56\) | −0.257432 | − | 1.79048i | −0.0344009 | − | 0.239263i | ||||
\(57\) | 3.11254 | + | 6.81552i | 0.412267 | + | 0.902738i | ||||
\(58\) | −2.85151 | − | 6.24394i | −0.374422 | − | 0.819870i | ||||
\(59\) | −1.64530 | − | 11.4433i | −0.214200 | − | 1.48979i | −0.758926 | − | 0.651177i | \(-0.774275\pi\) |
0.544726 | − | 0.838614i | \(-0.316634\pi\) | |||||||
\(60\) | 0.841254 | + | 0.540641i | 0.108605 | + | 0.0697964i | ||||
\(61\) | −14.6736 | + | 4.30855i | −1.87876 | + | 0.551654i | −0.881997 | + | 0.471254i | \(0.843801\pi\) |
−0.996763 | + | 0.0803993i | \(0.974380\pi\) | |||||||
\(62\) | −1.07060 | + | 7.44619i | −0.135966 | + | 0.945667i | ||||
\(63\) | −1.18457 | + | 1.36707i | −0.149242 | + | 0.172235i | ||||
\(64\) | 0.841254 | − | 0.540641i | 0.105157 | − | 0.0675801i | ||||
\(65\) | 2.10041 | + | 2.42400i | 0.260524 | + | 0.300660i | ||||
\(66\) | 5.78656 | + | 1.69909i | 0.712276 | + | 0.209143i | ||||
\(67\) | −1.63864 | + | 3.58811i | −0.200191 | + | 0.438357i | −0.982927 | − | 0.183997i | \(-0.941096\pi\) |
0.782736 | + | 0.622354i | \(0.213824\pi\) | |||||||
\(68\) | −4.55923 | −0.552888 | ||||||||
\(69\) | 1.10043 | + | 4.66787i | 0.132476 | + | 0.561946i | ||||
\(70\) | −1.80889 | −0.216204 | ||||||||
\(71\) | 1.08051 | − | 2.36598i | 0.128233 | − | 0.280790i | −0.834616 | − | 0.550832i | \(-0.814310\pi\) |
0.962849 | + | 0.270042i | \(0.0870376\pi\) | |||||||
\(72\) | −0.959493 | − | 0.281733i | −0.113077 | − | 0.0332025i | ||||
\(73\) | −1.57119 | − | 1.81325i | −0.183894 | − | 0.212225i | 0.656316 | − | 0.754486i | \(-0.272114\pi\) |
−0.840210 | + | 0.542261i | \(0.817568\pi\) | |||||||
\(74\) | −1.25926 | + | 0.809276i | −0.146386 | + | 0.0940764i | ||||
\(75\) | 0.654861 | − | 0.755750i | 0.0756168 | − | 0.0872664i | ||||
\(76\) | 1.06631 | − | 7.41635i | 0.122314 | − | 0.850714i | ||||
\(77\) | −10.4673 | + | 3.07347i | −1.19286 | + | 0.350254i | ||||
\(78\) | −2.69825 | − | 1.73406i | −0.305516 | − | 0.196343i | ||||
\(79\) | 0.792412 | + | 5.51135i | 0.0891533 | + | 0.620075i | 0.984589 | + | 0.174884i | \(0.0559551\pi\) |
−0.895436 | + | 0.445191i | \(0.853136\pi\) | |||||||
\(80\) | −0.415415 | − | 0.909632i | −0.0464448 | − | 0.101700i | ||||
\(81\) | 0.415415 | + | 0.909632i | 0.0461572 | + | 0.101070i | ||||
\(82\) | −0.0216794 | − | 0.150784i | −0.00239409 | − | 0.0166513i | ||||
\(83\) | 1.26936 | + | 0.815768i | 0.139330 | + | 0.0895421i | 0.608449 | − | 0.793593i | \(-0.291792\pi\) |
−0.469119 | + | 0.883135i | \(0.655428\pi\) | |||||||
\(84\) | 1.73562 | − | 0.509624i | 0.189372 | − | 0.0556046i | ||||
\(85\) | −0.648846 | + | 4.51282i | −0.0703772 | + | 0.489485i | ||||
\(86\) | −2.86522 | + | 3.30664i | −0.308965 | + | 0.356564i | ||||
\(87\) | 5.77458 | − | 3.71110i | 0.619100 | − | 0.397871i | ||||
\(88\) | −3.94937 | − | 4.55781i | −0.421004 | − | 0.485865i | ||||
\(89\) | −4.20077 | − | 1.23346i | −0.445280 | − | 0.130746i | 0.0514028 | − | 0.998678i | \(-0.483631\pi\) |
−0.496683 | + | 0.867932i | \(0.665449\pi\) | |||||||
\(90\) | −0.415415 | + | 0.909632i | −0.0437886 | + | 0.0958836i | ||||
\(91\) | 5.80187 | 0.608201 | ||||||||
\(92\) | 1.59790 | − | 4.52180i | 0.166593 | − | 0.471431i | ||||
\(93\) | −7.52276 | −0.780074 | ||||||||
\(94\) | 1.69082 | − | 3.70239i | 0.174395 | − | 0.381872i | ||||
\(95\) | −7.18911 | − | 2.11091i | −0.737587 | − | 0.216575i | ||||
\(96\) | 0.654861 | + | 0.755750i | 0.0668364 | + | 0.0771334i | ||||
\(97\) | 11.9404 | − | 7.67364i | 1.21237 | − | 0.779140i | 0.231313 | − | 0.972879i | \(-0.425698\pi\) |
0.981053 | + | 0.193739i | \(0.0620615\pi\) | |||||||
\(98\) | 2.44126 | − | 2.81736i | 0.246604 | − | 0.284597i | ||||
\(99\) | −0.858280 | + | 5.96947i | −0.0862604 | + | 0.599954i | ||||
\(100\) | −0.959493 | + | 0.281733i | −0.0959493 | + | 0.0281733i | ||||
\(101\) | 1.17379 | + | 0.754352i | 0.116797 | + | 0.0750609i | 0.597735 | − | 0.801694i | \(-0.296067\pi\) |
−0.480938 | + | 0.876755i | \(0.659704\pi\) | |||||||
\(102\) | −0.648846 | − | 4.51282i | −0.0642453 | − | 0.446836i | ||||
\(103\) | −4.27500 | − | 9.36095i | −0.421229 | − | 0.922362i | −0.994669 | − | 0.103115i | \(-0.967119\pi\) |
0.573441 | − | 0.819247i | \(-0.305608\pi\) | |||||||
\(104\) | 1.33241 | + | 2.91757i | 0.130653 | + | 0.286091i | ||||
\(105\) | −0.257432 | − | 1.79048i | −0.0251228 | − | 0.174733i | ||||
\(106\) | 1.91050 | + | 1.22780i | 0.185564 | + | 0.119255i | ||||
\(107\) | 10.0222 | − | 2.94280i | 0.968887 | − | 0.284491i | 0.241258 | − | 0.970461i | \(-0.422440\pi\) |
0.727630 | + | 0.685970i | \(0.240622\pi\) | |||||||
\(108\) | 0.142315 | − | 0.989821i | 0.0136943 | − | 0.0952456i | ||||
\(109\) | 2.47646 | − | 2.85799i | 0.237202 | − | 0.273746i | −0.624651 | − | 0.780904i | \(-0.714759\pi\) |
0.861853 | + | 0.507159i | \(0.169304\pi\) | |||||||
\(110\) | −5.07348 | + | 3.26052i | −0.483737 | + | 0.310879i | ||||
\(111\) | −0.980250 | − | 1.13127i | −0.0930412 | − | 0.107375i | ||||
\(112\) | −1.73562 | − | 0.509624i | −0.164001 | − | 0.0481550i | ||||
\(113\) | 5.30798 | − | 11.6229i | 0.499333 | − | 1.09339i | −0.477353 | − | 0.878712i | \(-0.658404\pi\) |
0.976686 | − | 0.214675i | \(-0.0688691\pi\) | |||||||
\(114\) | 7.49261 | 0.701748 | ||||||||
\(115\) | −4.24837 | − | 2.22516i | −0.396163 | − | 0.207497i | ||||
\(116\) | −6.86425 | −0.637330 | ||||||||
\(117\) | 1.33241 | − | 2.91757i | 0.123181 | − | 0.269729i | ||||
\(118\) | −11.0927 | − | 3.25710i | −1.02116 | − | 0.299841i | ||||
\(119\) | 5.40074 | + | 6.23279i | 0.495085 | + | 0.571359i | ||||
\(120\) | 0.841254 | − | 0.540641i | 0.0767956 | − | 0.0493535i | ||||
\(121\) | −16.6146 | + | 19.1743i | −1.51042 | + | 1.74311i | ||||
\(122\) | −2.17643 | + | 15.1374i | −0.197045 | + | 1.37048i | ||||
\(123\) | 0.146164 | − | 0.0429175i | 0.0131791 | − | 0.00386974i | ||||
\(124\) | 6.32855 | + | 4.06711i | 0.568320 | + | 0.365237i | ||||
\(125\) | 0.142315 | + | 0.989821i | 0.0127290 | + | 0.0885323i | ||||
\(126\) | 0.751442 | + | 1.64543i | 0.0669437 | + | 0.146586i | ||||
\(127\) | −7.62632 | − | 16.6993i | −0.676726 | − | 1.48182i | −0.866075 | − | 0.499914i | \(-0.833365\pi\) |
0.189348 | − | 0.981910i | \(-0.439362\pi\) | |||||||
\(128\) | −0.142315 | − | 0.989821i | −0.0125790 | − | 0.0874887i | ||||
\(129\) | −3.68075 | − | 2.36547i | −0.324072 | − | 0.208268i | ||||
\(130\) | 3.07749 | − | 0.903633i | 0.269914 | − | 0.0792538i | ||||
\(131\) | −2.71673 | + | 18.8953i | −0.237362 | + | 1.65089i | 0.427570 | + | 0.903982i | \(0.359370\pi\) |
−0.664932 | + | 0.746904i | \(0.731539\pi\) | |||||||
\(132\) | 3.94937 | − | 4.55781i | 0.343748 | − | 0.396707i | ||||
\(133\) | −11.4018 | + | 7.32749i | −0.988661 | + | 0.635374i | ||||
\(134\) | 2.58315 | + | 2.98111i | 0.223150 | + | 0.257529i | ||||
\(135\) | −0.959493 | − | 0.281733i | −0.0825800 | − | 0.0242477i | ||||
\(136\) | −1.89397 | + | 4.14722i | −0.162407 | + | 0.355621i | ||||
\(137\) | 6.11555 | 0.522487 | 0.261243 | − | 0.965273i | \(-0.415867\pi\) | ||||
0.261243 | + | 0.965273i | \(0.415867\pi\) | |||||||
\(138\) | 4.70318 | + | 0.938117i | 0.400362 | + | 0.0798578i | ||||
\(139\) | −20.2563 | −1.71812 | −0.859059 | − | 0.511876i | \(-0.828951\pi\) | ||||
−0.859059 | + | 0.511876i | \(0.828951\pi\) | |||||||
\(140\) | −0.751442 | + | 1.64543i | −0.0635084 | + | 0.139064i | ||||
\(141\) | 3.90533 | + | 1.14671i | 0.328888 | + | 0.0965704i | ||||
\(142\) | −1.70331 | − | 1.96573i | −0.142939 | − | 0.164960i | ||||
\(143\) | 16.2727 | − | 10.4579i | 1.36079 | − | 0.874529i | ||||
\(144\) | −0.654861 | + | 0.755750i | −0.0545717 | + | 0.0629791i | ||||
\(145\) | −0.976885 | + | 6.79438i | −0.0811259 | + | 0.564243i | ||||
\(146\) | −2.30209 | + | 0.675954i | −0.190522 | + | 0.0559424i | ||||
\(147\) | 3.13611 | + | 2.01546i | 0.258662 | + | 0.166232i | ||||
\(148\) | 0.213029 | + | 1.48165i | 0.0175108 | + | 0.121791i | ||||
\(149\) | −5.18756 | − | 11.3592i | −0.424982 | − | 0.930580i | −0.994115 | − | 0.108334i | \(-0.965448\pi\) |
0.569133 | − | 0.822246i | \(-0.307279\pi\) | |||||||
\(150\) | −0.415415 | − | 0.909632i | −0.0339185 | − | 0.0742711i | ||||
\(151\) | −0.913002 | − | 6.35007i | −0.0742991 | − | 0.516761i | −0.992652 | − | 0.121000i | \(-0.961390\pi\) |
0.918353 | − | 0.395761i | \(-0.129519\pi\) | |||||||
\(152\) | −6.30319 | − | 4.05081i | −0.511256 | − | 0.328564i | ||||
\(153\) | 4.37455 | − | 1.28448i | 0.353661 | − | 0.103844i | ||||
\(154\) | −1.55254 | + | 10.7981i | −0.125107 | + | 0.870138i | ||||
\(155\) | 4.92636 | − | 5.68532i | 0.395695 | − | 0.456656i | ||||
\(156\) | −2.69825 | + | 1.73406i | −0.216033 | + | 0.138836i | ||||
\(157\) | −11.0393 | − | 12.7400i | −0.881032 | − | 1.01677i | −0.999716 | − | 0.0238335i | \(-0.992413\pi\) |
0.118684 | − | 0.992932i | \(-0.462133\pi\) | |||||||
\(158\) | 5.34248 | + | 1.56869i | 0.425025 | + | 0.124799i | ||||
\(159\) | −0.943412 | + | 2.06578i | −0.0748175 | + | 0.163827i | ||||
\(160\) | −1.00000 | −0.0790569 | ||||||||
\(161\) | −8.07446 | + | 3.17196i | −0.636356 | + | 0.249986i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | −4.63074 | + | 10.1399i | −0.362708 | + | 0.794219i | 0.637019 | + | 0.770848i | \(0.280167\pi\) |
−0.999727 | + | 0.0233710i | \(0.992560\pi\) | |||||||
\(164\) | −0.146164 | − | 0.0429175i | −0.0114135 | − | 0.00335129i | ||||
\(165\) | −3.94937 | − | 4.55781i | −0.307458 | − | 0.354825i | ||||
\(166\) | 1.26936 | − | 0.815768i | 0.0985214 | − | 0.0633158i | ||||
\(167\) | −5.81633 | + | 6.71240i | −0.450081 | + | 0.519421i | −0.934764 | − | 0.355268i | \(-0.884389\pi\) |
0.484683 | + | 0.874690i | \(0.338935\pi\) | |||||||
\(168\) | 0.257432 | − | 1.79048i | 0.0198613 | − | 0.138139i | ||||
\(169\) | 2.60262 | − | 0.764199i | 0.200202 | − | 0.0587846i | ||||
\(170\) | 3.83547 | + | 2.46491i | 0.294167 | + | 0.189050i | ||||
\(171\) | 1.06631 | + | 7.41635i | 0.0815428 | + | 0.567142i | ||||
\(172\) | 1.81757 | + | 3.97993i | 0.138588 | + | 0.303466i | ||||
\(173\) | 4.92287 | + | 10.7796i | 0.374279 | + | 0.819556i | 0.999243 | + | 0.0389027i | \(0.0123862\pi\) |
−0.624964 | + | 0.780653i | \(0.714886\pi\) | |||||||
\(174\) | −0.976885 | − | 6.79438i | −0.0740575 | − | 0.515081i | ||||
\(175\) | 1.52174 | + | 0.977962i | 0.115033 | + | 0.0739270i | ||||
\(176\) | −5.78656 | + | 1.69909i | −0.436178 | + | 0.128074i | ||||
\(177\) | 1.64530 | − | 11.4433i | 0.123668 | − | 0.860132i | ||||
\(178\) | −2.86705 | + | 3.30876i | −0.214895 | + | 0.248002i | ||||
\(179\) | 17.0969 | − | 10.9875i | 1.27789 | − | 0.821247i | 0.287260 | − | 0.957853i | \(-0.407256\pi\) |
0.990625 | + | 0.136606i | \(0.0436193\pi\) | |||||||
\(180\) | 0.654861 | + | 0.755750i | 0.0488104 | + | 0.0563302i | ||||
\(181\) | 8.20588 | + | 2.40946i | 0.609938 | + | 0.179094i | 0.572092 | − | 0.820189i | \(-0.306132\pi\) |
0.0378464 | + | 0.999284i | \(0.487950\pi\) | |||||||
\(182\) | 2.41018 | − | 5.27757i | 0.178655 | − | 0.391199i | ||||
\(183\) | −15.2931 | −1.13050 | ||||||||
\(184\) | −3.44939 | − | 3.33193i | −0.254292 | − | 0.245633i | ||||
\(185\) | 1.49688 | 0.110053 | ||||||||
\(186\) | −3.12507 | + | 6.84294i | −0.229141 | + | 0.501749i | ||||
\(187\) | 26.3823 | + | 7.74653i | 1.92926 | + | 0.566482i | ||||
\(188\) | −2.66542 | − | 3.07606i | −0.194396 | − | 0.224344i | ||||
\(189\) | −1.52174 | + | 0.977962i | −0.110690 | + | 0.0711362i | ||||
\(190\) | −4.90662 | + | 5.66254i | −0.355964 | + | 0.410804i | ||||
\(191\) | 0.555314 | − | 3.86229i | 0.0401811 | − | 0.279466i | −0.959818 | − | 0.280623i | \(-0.909459\pi\) |
0.999999 | + | 0.00115669i | \(0.000368186\pi\) | |||||||
\(192\) | 0.959493 | − | 0.281733i | 0.0692454 | − | 0.0203323i | ||||
\(193\) | 1.16524 | + | 0.748852i | 0.0838755 | + | 0.0539035i | 0.581906 | − | 0.813256i | \(-0.302307\pi\) |
−0.498031 | + | 0.867159i | \(0.665943\pi\) | |||||||
\(194\) | −2.01996 | − | 14.0491i | −0.145025 | − | 1.00867i | ||||
\(195\) | 1.33241 | + | 2.91757i | 0.0954157 | + | 0.208931i | ||||
\(196\) | −1.54863 | − | 3.39102i | −0.110616 | − | 0.242216i | ||||
\(197\) | −1.22112 | − | 8.49310i | −0.0870014 | − | 0.605108i | −0.985948 | − | 0.167051i | \(-0.946576\pi\) |
0.898947 | − | 0.438058i | \(-0.144333\pi\) | |||||||
\(198\) | 5.07348 | + | 3.26052i | 0.360556 | + | 0.231715i | ||||
\(199\) | −18.1015 | + | 5.31508i | −1.28318 | + | 0.376776i | −0.851074 | − | 0.525046i | \(-0.824048\pi\) |
−0.432108 | + | 0.901822i | \(0.642230\pi\) | |||||||
\(200\) | −0.142315 | + | 0.989821i | −0.0100632 | + | 0.0699909i | ||||
\(201\) | −2.58315 | + | 2.98111i | −0.182201 | + | 0.210271i | ||||
\(202\) | 1.17379 | − | 0.754352i | 0.0825879 | − | 0.0530760i | ||||
\(203\) | 8.13121 | + | 9.38392i | 0.570699 | + | 0.658622i | ||||
\(204\) | −4.37455 | − | 1.28448i | −0.306280 | − | 0.0899318i | ||||
\(205\) | −0.0632819 | + | 0.138568i | −0.00441980 | + | 0.00967801i | ||||
\(206\) | −10.2909 | −0.717002 | ||||||||
\(207\) | −0.259236 | + | 4.78882i | −0.0180181 | + | 0.332846i | ||||
\(208\) | 3.20741 | 0.222394 | ||||||||
\(209\) | −18.7713 | + | 41.1034i | −1.29844 | + | 2.84318i | ||||
\(210\) | −1.73562 | − | 0.509624i | −0.119769 | − | 0.0351674i | ||||
\(211\) | −4.16152 | − | 4.80265i | −0.286491 | − | 0.330628i | 0.594202 | − | 0.804316i | \(-0.297468\pi\) |
−0.880693 | + | 0.473688i | \(0.842922\pi\) | |||||||
\(212\) | 1.91050 | − | 1.22780i | 0.131213 | − | 0.0843257i | ||||
\(213\) | 1.70331 | − | 1.96573i | 0.116709 | − | 0.134690i | ||||
\(214\) | 1.48653 | − | 10.3390i | 0.101617 | − | 0.706762i | ||||
\(215\) | 4.19808 | − | 1.23267i | 0.286307 | − | 0.0840673i | ||||
\(216\) | −0.841254 | − | 0.540641i | −0.0572401 | − | 0.0367859i | ||||
\(217\) | −1.93660 | − | 13.4694i | −0.131465 | − | 0.914360i | ||||
\(218\) | −1.57096 | − | 3.43992i | −0.106399 | − | 0.232981i | ||||
\(219\) | −0.996696 | − | 2.18246i | −0.0673504 | − | 0.147477i | ||||
\(220\) | 0.858280 | + | 5.96947i | 0.0578652 | + | 0.402461i | ||||
\(221\) | −12.3019 | − | 7.90597i | −0.827518 | − | 0.531813i | ||||
\(222\) | −1.43625 | + | 0.421721i | −0.0963947 | + | 0.0283040i | ||||
\(223\) | 0.581821 | − | 4.04666i | 0.0389616 | − | 0.270984i | −0.961023 | − | 0.276467i | \(-0.910836\pi\) |
0.999985 | + | 0.00548315i | \(0.00174535\pi\) | |||||||
\(224\) | −1.18457 | + | 1.36707i | −0.0791476 | + | 0.0913412i | ||||
\(225\) | 0.841254 | − | 0.540641i | 0.0560836 | − | 0.0360427i | ||||
\(226\) | −8.36751 | − | 9.65662i | −0.556598 | − | 0.642349i | ||||
\(227\) | 8.27830 | + | 2.43073i | 0.549450 | + | 0.161333i | 0.544662 | − | 0.838655i | \(-0.316658\pi\) |
0.00478784 | + | 0.999989i | \(0.498476\pi\) | |||||||
\(228\) | 3.11254 | − | 6.81552i | 0.206133 | − | 0.451369i | ||||
\(229\) | 18.0308 | 1.19151 | 0.595754 | − | 0.803167i | \(-0.296853\pi\) | ||||
0.595754 | + | 0.803167i | \(0.296853\pi\) | |||||||
\(230\) | −3.78891 | + | 2.94009i | −0.249833 | + | 0.193864i | ||||
\(231\) | −10.9092 | −0.717771 | ||||||||
\(232\) | −2.85151 | + | 6.24394i | −0.187211 | + | 0.409935i | ||||
\(233\) | −20.3491 | − | 5.97504i | −1.33312 | − | 0.391438i | −0.463907 | − | 0.885884i | \(-0.653553\pi\) |
−0.869208 | + | 0.494446i | \(0.835371\pi\) | |||||||
\(234\) | −2.10041 | − | 2.42400i | −0.137308 | − | 0.158462i | ||||
\(235\) | −3.42407 | + | 2.20052i | −0.223362 | + | 0.143546i | ||||
\(236\) | −7.57083 | + | 8.73721i | −0.492819 | + | 0.568744i | ||||
\(237\) | −0.792412 | + | 5.51135i | −0.0514727 | + | 0.358001i | ||||
\(238\) | 7.91309 | − | 2.32349i | 0.512930 | − | 0.150610i | ||||
\(239\) | 13.4039 | + | 8.61416i | 0.867025 | + | 0.557203i | 0.896842 | − | 0.442352i | \(-0.145856\pi\) |
−0.0298161 | + | 0.999555i | \(0.509492\pi\) | |||||||
\(240\) | −0.142315 | − | 0.989821i | −0.00918638 | − | 0.0638927i | ||||
\(241\) | −9.75659 | − | 21.3639i | −0.628477 | − | 1.37617i | −0.909190 | − | 0.416381i | \(-0.863298\pi\) |
0.280713 | − | 0.959792i | \(-0.409429\pi\) | |||||||
\(242\) | 10.5396 | + | 23.0784i | 0.677509 | + | 1.48354i | ||||
\(243\) | 0.142315 | + | 0.989821i | 0.00912950 | + | 0.0634971i | ||||
\(244\) | 12.8653 | + | 8.26805i | 0.823619 | + | 0.529308i | ||||
\(245\) | −3.57690 | + | 1.05027i | −0.228520 | + | 0.0670994i | ||||
\(246\) | 0.0216794 | − | 0.150784i | 0.00138223 | − | 0.00961362i | ||||
\(247\) | 15.7376 | − | 18.1621i | 1.00136 | − | 1.15563i | ||||
\(248\) | 6.32855 | − | 4.06711i | 0.401863 | − | 0.258262i | ||||
\(249\) | 0.988113 | + | 1.14034i | 0.0626191 | + | 0.0722663i | ||||
\(250\) | 0.959493 | + | 0.281733i | 0.0606837 | + | 0.0178183i | ||||
\(251\) | −1.91423 | + | 4.19157i | −0.120825 | + | 0.264569i | −0.960374 | − | 0.278714i | \(-0.910092\pi\) |
0.839549 | + | 0.543283i | \(0.182819\pi\) | |||||||
\(252\) | 1.80889 | 0.113950 | ||||||||
\(253\) | −16.9293 | + | 23.4507i | −1.06434 | + | 1.47433i | ||||
\(254\) | −18.3583 | −1.15190 | ||||||||
\(255\) | −1.89397 | + | 4.14722i | −0.118605 | + | 0.259709i | ||||
\(256\) | −0.959493 | − | 0.281733i | −0.0599683 | − | 0.0176083i | ||||
\(257\) | −14.5708 | − | 16.8156i | −0.908904 | − | 1.04893i | −0.998597 | − | 0.0529613i | \(-0.983134\pi\) |
0.0896928 | − | 0.995969i | \(-0.471411\pi\) | |||||||
\(258\) | −3.68075 | + | 2.36547i | −0.229153 | + | 0.147268i | ||||
\(259\) | 1.77317 | − | 2.04634i | 0.110179 | − | 0.127154i | ||||
\(260\) | 0.456463 | − | 3.17477i | 0.0283086 | − | 0.196891i | ||||
\(261\) | 6.58620 | − | 1.93388i | 0.407676 | − | 0.119704i | ||||
\(262\) | 16.0592 | + | 10.3206i | 0.992138 | + | 0.637609i | ||||
\(263\) | 2.42176 | + | 16.8437i | 0.149332 | + | 1.03863i | 0.917316 | + | 0.398159i | \(0.130351\pi\) |
−0.767984 | + | 0.640469i | \(0.778740\pi\) | |||||||
\(264\) | −2.50531 | − | 5.48586i | −0.154191 | − | 0.337631i | ||||
\(265\) | −0.943412 | − | 2.06578i | −0.0579534 | − | 0.126900i | ||||
\(266\) | 1.92884 | + | 13.4154i | 0.118265 | + | 0.822550i | ||||
\(267\) | −3.68310 | − | 2.36699i | −0.225402 | − | 0.144857i | ||||
\(268\) | 3.78479 | − | 1.11131i | 0.231193 | − | 0.0678844i | ||||
\(269\) | −1.86775 | + | 12.9905i | −0.113879 | + | 0.792044i | 0.850206 | + | 0.526450i | \(0.176477\pi\) |
−0.964085 | + | 0.265594i | \(0.914432\pi\) | |||||||
\(270\) | −0.654861 | + | 0.755750i | −0.0398536 | + | 0.0459935i | ||||
\(271\) | 20.3379 | − | 13.0704i | 1.23544 | − | 0.793968i | 0.250709 | − | 0.968063i | \(-0.419336\pi\) |
0.984729 | + | 0.174095i | \(0.0557000\pi\) | |||||||
\(272\) | 2.98566 | + | 3.44564i | 0.181032 | + | 0.208922i | ||||
\(273\) | 5.56685 | + | 1.63458i | 0.336921 | + | 0.0989290i | ||||
\(274\) | 2.54049 | − | 5.56290i | 0.153477 | − | 0.336067i | ||||
\(275\) | 6.03085 | 0.363674 | ||||||||
\(276\) | 2.80711 | − | 3.88846i | 0.168968 | − | 0.234058i | ||||
\(277\) | −2.67381 | −0.160654 | −0.0803268 | − | 0.996769i | \(-0.525596\pi\) | ||||
−0.0803268 | + | 0.996769i | \(0.525596\pi\) | |||||||
\(278\) | −8.41478 | + | 18.4258i | −0.504685 | + | 1.10511i | ||||
\(279\) | −7.21804 | − | 2.11941i | −0.432133 | − | 0.126886i | ||||
\(280\) | 1.18457 | + | 1.36707i | 0.0707918 | + | 0.0816981i | ||||
\(281\) | −23.2142 | + | 14.9188i | −1.38484 | + | 0.889983i | −0.999463 | − | 0.0327763i | \(-0.989565\pi\) |
−0.385377 | + | 0.922759i | \(0.625929\pi\) | |||||||
\(282\) | 2.66542 | − | 3.07606i | 0.158723 | − | 0.183176i | ||||
\(283\) | 4.44153 | − | 30.8915i | 0.264021 | − | 1.83631i | −0.237771 | − | 0.971321i | \(-0.576417\pi\) |
0.501793 | − | 0.864988i | \(-0.332674\pi\) | |||||||
\(284\) | −2.49567 | + | 0.732796i | −0.148091 | + | 0.0434834i | ||||
\(285\) | −6.30319 | − | 4.05081i | −0.373369 | − | 0.239949i | ||||
\(286\) | −2.75286 | − | 19.1465i | −0.162780 | − | 1.13216i | ||||
\(287\) | 0.114470 | + | 0.250655i | 0.00675697 | + | 0.0147957i | ||||
\(288\) | 0.415415 | + | 0.909632i | 0.0244786 | + | 0.0536006i | ||||
\(289\) | −0.538887 | − | 3.74804i | −0.0316992 | − | 0.220473i | ||||
\(290\) | 5.77458 | + | 3.71110i | 0.339095 | + | 0.217923i | ||||
\(291\) | 13.6187 | − | 3.99880i | 0.798340 | − | 0.234414i | ||||
\(292\) | −0.341453 | + | 2.37486i | −0.0199820 | + | 0.138978i | ||||
\(293\) | 15.3733 | − | 17.7418i | 0.898119 | − | 1.03648i | −0.101015 | − | 0.994885i | \(-0.532209\pi\) |
0.999134 | − | 0.0415997i | \(-0.0132454\pi\) | |||||||
\(294\) | 3.13611 | − | 2.01546i | 0.182902 | − | 0.117544i | ||||
\(295\) | 7.57083 | + | 8.73721i | 0.440791 | + | 0.508700i | ||||
\(296\) | 1.43625 | + | 0.421721i | 0.0834803 | + | 0.0245120i | ||||
\(297\) | −2.50531 | + | 5.48586i | −0.145373 | + | 0.318322i | ||||
\(298\) | −12.4877 | −0.723391 | ||||||||
\(299\) | 12.1526 | − | 9.43009i | 0.702803 | − | 0.545356i | ||||
\(300\) | −1.00000 | −0.0577350 | ||||||||
\(301\) | 3.28779 | − | 7.19926i | 0.189505 | − | 0.414959i | ||||
\(302\) | −6.15550 | − | 1.80742i | −0.354209 | − | 0.104005i | ||||
\(303\) | 0.913722 | + | 1.05449i | 0.0524920 | + | 0.0605790i | ||||
\(304\) | −6.30319 | + | 4.05081i | −0.361513 | + | 0.232330i | ||||
\(305\) | 10.0148 | − | 11.5577i | 0.573447 | − | 0.661793i | ||||
\(306\) | 0.648846 | − | 4.51282i | 0.0370921 | − | 0.257981i | ||||
\(307\) | −13.9465 | + | 4.09507i | −0.795969 | + | 0.233718i | −0.654338 | − | 0.756202i | \(-0.727053\pi\) |
−0.141631 | + | 0.989920i | \(0.545235\pi\) | |||||||
\(308\) | 9.17738 | + | 5.89794i | 0.522930 | + | 0.336066i | ||||
\(309\) | −1.46455 | − | 10.1862i | −0.0833154 | − | 0.579471i | ||||
\(310\) | −3.12507 | − | 6.84294i | −0.177492 | − | 0.388653i | ||||
\(311\) | −12.0498 | − | 26.3854i | −0.683283 | − | 1.49618i | −0.859126 | − | 0.511763i | \(-0.828992\pi\) |
0.175843 | − | 0.984418i | \(-0.443735\pi\) | |||||||
\(312\) | 0.456463 | + | 3.17477i | 0.0258421 | + | 0.179736i | ||||
\(313\) | 20.4900 | + | 13.1681i | 1.15816 | + | 0.744305i | 0.971248 | − | 0.238071i | \(-0.0765151\pi\) |
0.186914 | + | 0.982376i | \(0.440151\pi\) | |||||||
\(314\) | −16.1746 | + | 4.74930i | −0.912788 | + | 0.268019i | ||||
\(315\) | 0.257432 | − | 1.79048i | 0.0145047 | − | 0.100882i | ||||
\(316\) | 3.64628 | − | 4.20803i | 0.205119 | − | 0.236720i | ||||
\(317\) | 20.3002 | − | 13.0461i | 1.14017 | − | 0.732744i | 0.172513 | − | 0.985007i | \(-0.444811\pi\) |
0.967659 | + | 0.252263i | \(0.0811750\pi\) | |||||||
\(318\) | 1.48720 | + | 1.71632i | 0.0833978 | + | 0.0962462i | ||||
\(319\) | 39.7204 | + | 11.6630i | 2.22392 | + | 0.653001i | ||||
\(320\) | −0.415415 | + | 0.909632i | −0.0232224 | + | 0.0508500i | ||||
\(321\) | 10.4454 | 0.583003 | ||||||||
\(322\) | −0.468930 | + | 8.66247i | −0.0261324 | + | 0.482740i | ||||
\(323\) | 34.1606 | 1.90074 | ||||||||
\(324\) | 0.415415 | − | 0.909632i | 0.0230786 | − | 0.0505351i | ||||
\(325\) | −3.07749 | − | 0.903633i | −0.170708 | − | 0.0501245i | ||||
\(326\) | 7.29991 | + | 8.42454i | 0.404304 | + | 0.466592i | ||||
\(327\) | 3.18134 | − | 2.04452i | 0.175928 | − | 0.113062i | ||||
\(328\) | −0.0997577 | + | 0.115127i | −0.00550820 | + | 0.00635680i | ||||
\(329\) | −1.04780 | + | 7.28763i | −0.0577672 | + | 0.401780i | ||||
\(330\) | −5.78656 | + | 1.69909i | −0.318540 | + | 0.0935317i | ||||
\(331\) | 10.5424 | + | 6.77517i | 0.579461 | + | 0.372397i | 0.797296 | − | 0.603589i | \(-0.206263\pi\) |
−0.217835 | + | 0.975986i | \(0.569899\pi\) | |||||||
\(332\) | −0.214737 | − | 1.49353i | −0.0117852 | − | 0.0819682i | ||||
\(333\) | −0.621828 | − | 1.36161i | −0.0340759 | − | 0.0746159i | ||||
\(334\) | 3.68963 | + | 8.07915i | 0.201887 | + | 0.442072i | ||||
\(335\) | −0.561371 | − | 3.90442i | −0.0306710 | − | 0.213321i | ||||
\(336\) | −1.52174 | − | 0.977962i | −0.0830176 | − | 0.0533522i | ||||
\(337\) | 18.8161 | − | 5.52491i | 1.02498 | − | 0.300961i | 0.274311 | − | 0.961641i | \(-0.411550\pi\) |
0.750668 | + | 0.660680i | \(0.229732\pi\) | |||||||
\(338\) | 0.386029 | − | 2.68489i | 0.0209972 | − | 0.146039i | ||||
\(339\) | 8.36751 | − | 9.65662i | 0.454461 | − | 0.524476i | ||||
\(340\) | 3.83547 | − | 2.46491i | 0.208008 | − | 0.133678i | ||||
\(341\) | −29.7102 | − | 34.2873i | −1.60889 | − | 1.85676i | ||||
\(342\) | 7.18911 | + | 2.11091i | 0.388743 | + | 0.114145i | ||||
\(343\) | −8.06139 | + | 17.6520i | −0.435274 | + | 0.953118i | ||||
\(344\) | 4.37531 | 0.235901 | ||||||||
\(345\) | −3.44939 | − | 3.33193i | −0.185709 | − | 0.179385i | ||||
\(346\) | 11.8505 | 0.637086 | ||||||||
\(347\) | 5.18067 | − | 11.3441i | 0.278113 | − | 0.608983i | −0.718099 | − | 0.695941i | \(-0.754987\pi\) |
0.996212 | + | 0.0869585i | \(0.0277148\pi\) | |||||||
\(348\) | −6.58620 | − | 1.93388i | −0.353058 | − | 0.103667i | ||||
\(349\) | 8.14883 | + | 9.40425i | 0.436197 | + | 0.503398i | 0.930703 | − | 0.365776i | \(-0.119196\pi\) |
−0.494506 | + | 0.869174i | \(0.664651\pi\) | |||||||
\(350\) | 1.52174 | − | 0.977962i | 0.0813403 | − | 0.0522743i | ||||
\(351\) | 2.10041 | − | 2.42400i | 0.112112 | − | 0.129384i | ||||
\(352\) | −0.858280 | + | 5.96947i | −0.0457465 | + | 0.318174i | ||||
\(353\) | 33.8327 | − | 9.93418i | 1.80073 | − | 0.528743i | 0.802997 | − | 0.595983i | \(-0.203237\pi\) |
0.997737 | + | 0.0672394i | \(0.0214191\pi\) | |||||||
\(354\) | −9.72571 | − | 6.25034i | −0.516916 | − | 0.332202i | ||||
\(355\) | 0.370166 | + | 2.57456i | 0.0196463 | + | 0.136643i | ||||
\(356\) | 1.81873 | + | 3.98247i | 0.0963927 | + | 0.211071i | ||||
\(357\) | 3.42600 | + | 7.50188i | 0.181323 | + | 0.397042i | ||||
\(358\) | −2.89229 | − | 20.1163i | −0.152862 | − | 1.06318i | ||||
\(359\) | −15.7141 | − | 10.0989i | −0.829361 | − | 0.532998i | 0.0557139 | − | 0.998447i | \(-0.482257\pi\) |
−0.885075 | + | 0.465449i | \(0.845893\pi\) | |||||||
\(360\) | 0.959493 | − | 0.281733i | 0.0505697 | − | 0.0148486i | ||||
\(361\) | −5.28547 | + | 36.7612i | −0.278183 | + | 1.93480i | ||||
\(362\) | 5.60057 | − | 6.46340i | 0.294360 | − | 0.339709i | ||||
\(363\) | −21.3436 | + | 13.7167i | −1.12025 | + | 0.719940i | ||||
\(364\) | −3.79942 | − | 4.38476i | −0.199144 | − | 0.229824i | ||||
\(365\) | 2.30209 | + | 0.675954i | 0.120497 | + | 0.0353811i | ||||
\(366\) | −6.35297 | + | 13.9111i | −0.332075 | + | 0.727143i | ||||
\(367\) | 4.48888 | 0.234318 | 0.117159 | − | 0.993113i | \(-0.462621\pi\) | ||||
0.117159 | + | 0.993113i | \(0.462621\pi\) | |||||||
\(368\) | −4.46375 | + | 1.75354i | −0.232689 | + | 0.0914095i | ||||
\(369\) | 0.152334 | 0.00793020 | ||||||||
\(370\) | 0.621828 | − | 1.36161i | 0.0323273 | − | 0.0707869i | ||||
\(371\) | −3.94161 | − | 1.15736i | −0.204638 | − | 0.0600873i | ||||
\(372\) | 4.92636 | + | 5.68532i | 0.255420 | + | 0.294770i | ||||
\(373\) | 12.1755 | − | 7.82475i | 0.630426 | − | 0.405150i | −0.186041 | − | 0.982542i | \(-0.559566\pi\) |
0.816467 | + | 0.577392i | \(0.195929\pi\) | |||||||
\(374\) | 18.0061 | − | 20.7801i | 0.931072 | − | 1.07451i | ||||
\(375\) | −0.142315 | + | 0.989821i | −0.00734911 | + | 0.0511142i | ||||
\(376\) | −3.90533 | + | 1.14671i | −0.201402 | + | 0.0591370i | ||||
\(377\) | −18.5215 | − | 11.9030i | −0.953903 | − | 0.613037i | ||||
\(378\) | 0.257432 | + | 1.79048i | 0.0132409 | + | 0.0920924i | ||||
\(379\) | 9.27060 | + | 20.2998i | 0.476199 | + | 1.04273i | 0.983491 | + | 0.180956i | \(0.0579190\pi\) |
−0.507293 | + | 0.861774i | \(0.669354\pi\) | |||||||
\(380\) | 3.11254 | + | 6.81552i | 0.159670 | + | 0.349629i | ||||
\(381\) | −2.61266 | − | 18.1715i | −0.133851 | − | 0.930952i | ||||
\(382\) | −3.28258 | − | 2.10959i | −0.167951 | − | 0.107936i | ||||
\(383\) | 15.6649 | − | 4.59964i | 0.800441 | − | 0.235031i | 0.144167 | − | 0.989553i | \(-0.453950\pi\) |
0.656274 | + | 0.754523i | \(0.272132\pi\) | |||||||
\(384\) | 0.142315 | − | 0.989821i | 0.00726247 | − | 0.0505116i | ||||
\(385\) | 7.14399 | − | 8.24460i | 0.364091 | − | 0.420184i | ||||
\(386\) | 1.16524 | − | 0.748852i | 0.0593090 | − | 0.0381155i | ||||
\(387\) | −2.86522 | − | 3.30664i | −0.145647 | − | 0.168086i | ||||
\(388\) | −13.6187 | − | 3.99880i | −0.691383 | − | 0.203008i | ||||
\(389\) | −0.885452 | + | 1.93887i | −0.0448942 | + | 0.0983046i | −0.930750 | − | 0.365656i | \(-0.880845\pi\) |
0.885856 | + | 0.463960i | \(0.153572\pi\) | |||||||
\(390\) | 3.20741 | 0.162414 | ||||||||
\(391\) | 21.4429 | + | 4.27709i | 1.08441 | + | 0.216302i | ||||
\(392\) | −3.72790 | −0.188288 | ||||||||
\(393\) | −7.93009 | + | 17.3645i | −0.400020 | + | 0.875922i | ||||
\(394\) | −8.23287 | − | 2.41739i | −0.414766 | − | 0.121786i | ||||
\(395\) | −3.64628 | − | 4.20803i | −0.183464 | − | 0.211729i | ||||
\(396\) | 5.07348 | − | 3.26052i | 0.254952 | − | 0.163848i | ||||
\(397\) | 3.48230 | − | 4.01879i | 0.174772 | − | 0.201697i | −0.661605 | − | 0.749853i | \(-0.730124\pi\) |
0.836377 | + | 0.548155i | \(0.184670\pi\) | |||||||
\(398\) | −2.68487 | + | 18.6737i | −0.134580 | + | 0.936027i | ||||
\(399\) | −13.0043 | + | 3.81842i | −0.651031 | + | 0.191160i | ||||
\(400\) | 0.841254 | + | 0.540641i | 0.0420627 | + | 0.0270320i | ||||
\(401\) | 2.43791 | + | 16.9560i | 0.121743 | + | 0.846744i | 0.955580 | + | 0.294733i | \(0.0952306\pi\) |
−0.833836 | + | 0.552012i | \(0.813860\pi\) | |||||||
\(402\) | 1.63864 | + | 3.58811i | 0.0817277 | + | 0.178959i | ||||
\(403\) | 10.0234 | + | 21.9482i | 0.499300 | + | 1.09332i | ||||
\(404\) | −0.198571 | − | 1.38109i | −0.00987927 | − | 0.0687118i | ||||
\(405\) | −0.841254 | − | 0.540641i | −0.0418022 | − | 0.0268647i | ||||
\(406\) | 11.9137 | − | 3.49819i | 0.591269 | − | 0.173612i | ||||
\(407\) | 1.28474 | − | 8.93559i | 0.0636824 | − | 0.442921i | ||||
\(408\) | −2.98566 | + | 3.44564i | −0.147812 | + | 0.170584i | ||||
\(409\) | −8.64742 | + | 5.55736i | −0.427587 | + | 0.274794i | −0.736684 | − | 0.676237i | \(-0.763610\pi\) |
0.309097 | + | 0.951031i | \(0.399973\pi\) | |||||||
\(410\) | 0.0997577 | + | 0.115127i | 0.00492668 | + | 0.00568569i | ||||
\(411\) | 5.86783 | + | 1.72295i | 0.289439 | + | 0.0849869i | ||||
\(412\) | −4.27500 | + | 9.36095i | −0.210614 | + | 0.461181i | ||||
\(413\) | 20.9126 | 1.02904 | ||||||||
\(414\) | 4.24837 | + | 2.22516i | 0.208796 | + | 0.109360i | ||||
\(415\) | −1.50889 | −0.0740685 | ||||||||
\(416\) | 1.33241 | − | 2.91757i | 0.0653267 | − | 0.143045i | ||||
\(417\) | −19.4358 | − | 5.70686i | −0.951775 | − | 0.279466i | ||||
\(418\) | 29.5911 | + | 34.1499i | 1.44735 | + | 1.67033i | ||||
\(419\) | 15.9831 | − | 10.2717i | 0.780828 | − | 0.501808i | −0.0884805 | − | 0.996078i | \(-0.528201\pi\) |
0.869308 | + | 0.494270i | \(0.164565\pi\) | |||||||
\(420\) | −1.18457 | + | 1.36707i | −0.0578013 | + | 0.0667062i | ||||
\(421\) | −4.53963 | + | 31.5738i | −0.221248 | + | 1.53881i | 0.512080 | + | 0.858938i | \(0.328875\pi\) |
−0.733328 | + | 0.679875i | \(0.762034\pi\) | |||||||
\(422\) | −6.09740 | + | 1.79036i | −0.296817 | + | 0.0871532i | ||||
\(423\) | 3.42407 | + | 2.20052i | 0.166484 | + | 0.106993i | ||||
\(424\) | −0.323199 | − | 2.24790i | −0.0156959 | − | 0.109167i | ||||
\(425\) | −1.89397 | − | 4.14722i | −0.0918712 | − | 0.201170i | ||||
\(426\) | −1.08051 | − | 2.36598i | −0.0523508 | − | 0.114632i | ||||
\(427\) | −3.93693 | − | 27.3819i | −0.190521 | − | 1.32511i | ||||
\(428\) | −8.78720 | − | 5.64719i | −0.424745 | − | 0.272967i | ||||
\(429\) | 18.5599 | − | 5.44968i | 0.896080 | − | 0.263113i | ||||
\(430\) | 0.622672 | − | 4.33078i | 0.0300279 | − | 0.208849i | ||||
\(431\) | 3.46434 | − | 3.99806i | 0.166871 | − | 0.192580i | −0.666155 | − | 0.745814i | \(-0.732061\pi\) |
0.833026 | + | 0.553234i | \(0.186606\pi\) | |||||||
\(432\) | −0.841254 | + | 0.540641i | −0.0404748 | + | 0.0260116i | ||||
\(433\) | −15.5466 | − | 17.9417i | −0.747122 | − | 0.862224i | 0.247164 | − | 0.968974i | \(-0.420501\pi\) |
−0.994286 | + | 0.106749i | \(0.965956\pi\) | |||||||
\(434\) | −13.0567 | − | 3.83378i | −0.626740 | − | 0.184027i | ||||
\(435\) | −2.85151 | + | 6.24394i | −0.136720 | + | 0.299374i | ||||
\(436\) | −3.78166 | −0.181109 | ||||||||
\(437\) | −11.9725 | + | 33.8801i | −0.572720 | + | 1.62071i | ||||
\(438\) | −2.39928 | −0.114642 | ||||||||
\(439\) | 15.5447 | − | 34.0381i | 0.741908 | − | 1.62455i | −0.0384835 | − | 0.999259i | \(-0.512253\pi\) |
0.780391 | − | 0.625292i | \(-0.215020\pi\) | |||||||
\(440\) | 5.78656 | + | 1.69909i | 0.275863 | + | 0.0810008i | ||||
\(441\) | 2.44126 | + | 2.81736i | 0.116250 | + | 0.134160i | ||||
\(442\) | −12.3019 | + | 7.90597i | −0.585143 | + | 0.376049i | ||||
\(443\) | −24.7484 | + | 28.5612i | −1.17583 | + | 1.35698i | −0.255041 | + | 0.966930i | \(0.582089\pi\) |
−0.920792 | + | 0.390054i | \(0.872456\pi\) | |||||||
\(444\) | −0.213029 | + | 1.48165i | −0.0101099 | + | 0.0703158i | ||||
\(445\) | 4.20077 | − | 1.23346i | 0.199135 | − | 0.0584715i | ||||
\(446\) | −3.43927 | − | 2.21028i | −0.162854 | − | 0.104660i | ||||
\(447\) | −1.77718 | − | 12.3606i | −0.0840577 | − | 0.584634i | ||||
\(448\) | 0.751442 | + | 1.64543i | 0.0355023 | + | 0.0777391i | ||||
\(449\) | 1.64231 | + | 3.59616i | 0.0775055 | + | 0.169713i | 0.944418 | − | 0.328747i | \(-0.106626\pi\) |
−0.866913 | + | 0.498460i | \(0.833899\pi\) | |||||||
\(450\) | −0.142315 | − | 0.989821i | −0.00670879 | − | 0.0466606i | ||||
\(451\) | 0.772864 | + | 0.496690i | 0.0363927 | + | 0.0233882i | ||||
\(452\) | −12.2600 | + | 3.59985i | −0.576660 | + | 0.169323i | ||||
\(453\) | 0.913002 | − | 6.35007i | 0.0428966 | − | 0.298352i | ||||
\(454\) | 5.65000 | − | 6.52045i | 0.265168 | − | 0.306020i | ||||
\(455\) | −4.88084 | + | 3.13673i | −0.228817 | + | 0.147052i | ||||
\(456\) | −4.90662 | − | 5.66254i | −0.229773 | − | 0.265173i | ||||
\(457\) | 5.14604 | + | 1.51101i | 0.240722 | + | 0.0706823i | 0.399868 | − | 0.916573i | \(-0.369056\pi\) |
−0.159146 | + | 0.987255i | \(0.550874\pi\) | |||||||
\(458\) | 7.49026 | − | 16.4014i | 0.349997 | − | 0.766387i | ||||
\(459\) | 4.55923 | 0.212807 | ||||||||
\(460\) | 1.10043 | + | 4.66787i | 0.0513079 | + | 0.217641i | ||||
\(461\) | 0.997262 | 0.0464471 | 0.0232236 | − | 0.999730i | \(-0.492607\pi\) | ||||
0.0232236 | + | 0.999730i | \(0.492607\pi\) | |||||||
\(462\) | −4.53183 | + | 9.92333i | −0.210840 | + | 0.461675i | ||||
\(463\) | −7.93237 | − | 2.32916i | −0.368649 | − | 0.108245i | 0.0921607 | − | 0.995744i | \(-0.470623\pi\) |
−0.460809 | + | 0.887499i | \(0.652441\pi\) | |||||||
\(464\) | 4.49513 | + | 5.18766i | 0.208681 | + | 0.240831i | ||||
\(465\) | 6.32855 | − | 4.06711i | 0.293479 | − | 0.188608i | ||||
\(466\) | −13.8884 | + | 16.0281i | −0.643369 | + | 0.742487i | ||||
\(467\) | 4.19430 | − | 29.1720i | 0.194089 | − | 1.34992i | −0.626955 | − | 0.779055i | \(-0.715699\pi\) |
0.821044 | − | 0.570864i | \(-0.193392\pi\) | |||||||
\(468\) | −3.07749 | + | 0.903633i | −0.142257 | + | 0.0417704i | ||||
\(469\) | −6.00261 | − | 3.85764i | −0.277175 | − | 0.178129i | ||||
\(470\) | 0.579251 | + | 4.02878i | 0.0267188 | + | 0.185834i | ||||
\(471\) | −7.00285 | − | 15.3341i | −0.322674 | − | 0.706558i | ||||
\(472\) | 4.80260 | + | 10.5162i | 0.221058 | + | 0.484049i | ||||
\(473\) | −3.75524 | − | 26.1183i | −0.172666 | − | 1.20092i | ||||
\(474\) | 4.68412 | + | 3.01030i | 0.215149 | + | 0.138268i | ||||
\(475\) | 7.18911 | − | 2.11091i | 0.329859 | − | 0.0968554i | ||||
\(476\) | 1.17369 | − | 8.16322i | 0.0537962 | − | 0.374161i | ||||
\(477\) | −1.48720 | + | 1.71632i | −0.0680940 | + | 0.0785847i | ||||
\(478\) | 13.4039 | − | 8.61416i | 0.613080 | − | 0.394002i | ||||
\(479\) | −10.4091 | − | 12.0128i | −0.475605 | − | 0.548877i | 0.466357 | − | 0.884596i | \(-0.345566\pi\) |
−0.941962 | + | 0.335719i | \(0.891021\pi\) | |||||||
\(480\) | −0.959493 | − | 0.281733i | −0.0437947 | − | 0.0128593i | ||||
\(481\) | −1.99446 | + | 4.36725i | −0.0909395 | + | 0.199130i | ||||
\(482\) | −23.4864 | −1.06977 | ||||||||
\(483\) | −8.64103 | + | 0.768641i | −0.393180 | + | 0.0349744i | ||||
\(484\) | 25.3712 | 1.15324 | ||||||||
\(485\) | −5.89624 | + | 12.9110i | −0.267734 | + | 0.586256i | ||||
\(486\) | 0.959493 | + | 0.281733i | 0.0435235 | + | 0.0127796i | ||||
\(487\) | −5.99998 | − | 6.92434i | −0.271885 | − | 0.313772i | 0.603344 | − | 0.797481i | \(-0.293835\pi\) |
−0.875229 | + | 0.483709i | \(0.839289\pi\) | |||||||
\(488\) | 12.8653 | − | 8.26805i | 0.582387 | − | 0.374277i | ||||
\(489\) | −7.29991 | + | 8.42454i | −0.330113 | + | 0.380971i | ||||
\(490\) | −0.530536 | + | 3.68996i | −0.0239672 | + | 0.166695i | ||||
\(491\) | 24.6185 | − | 7.22864i | 1.11102 | − | 0.326224i | 0.325797 | − | 0.945440i | \(-0.394368\pi\) |
0.785221 | + | 0.619216i | \(0.212549\pi\) | |||||||
\(492\) | −0.128152 | − | 0.0823581i | −0.00577753 | − | 0.00371299i | ||||
\(493\) | −4.45384 | − | 30.9772i | −0.200591 | − | 1.39514i | ||||
\(494\) | −9.98322 | − | 21.8602i | −0.449166 | − | 0.983537i | ||||
\(495\) | −2.50531 | − | 5.48586i | −0.112605 | − | 0.246571i | ||||
\(496\) | −1.07060 | − | 7.44619i | −0.0480714 | − | 0.334344i | ||||
\(497\) | 3.95809 | + | 2.54371i | 0.177545 | + | 0.114101i | ||||
\(498\) | 1.44777 | − | 0.425104i | 0.0648761 | − | 0.0190493i | ||||
\(499\) | −0.938064 | + | 6.52438i | −0.0419935 | + | 0.292071i | 0.957993 | + | 0.286793i | \(0.0925892\pi\) |
−0.999986 | + | 0.00527820i | \(0.998320\pi\) | |||||||
\(500\) | 0.654861 | − | 0.755750i | 0.0292863 | − | 0.0337981i | ||||
\(501\) | −7.47183 | + | 4.80185i | −0.333817 | + | 0.214531i | ||||
\(502\) | 3.01759 | + | 3.48248i | 0.134682 | + | 0.155431i | ||||
\(503\) | −22.7662 | − | 6.68475i | −1.01509 | − | 0.298058i | −0.268458 | − | 0.963291i | \(-0.586514\pi\) |
−0.746636 | + | 0.665233i | \(0.768332\pi\) | |||||||
\(504\) | 0.751442 | − | 1.64543i | 0.0334719 | − | 0.0732932i | ||||
\(505\) | −1.39529 | −0.0620897 | ||||||||
\(506\) | 14.2988 | + | 25.1412i | 0.635661 | + | 1.11766i | ||||
\(507\) | 2.71250 | 0.120466 | ||||||||
\(508\) | −7.62632 | + | 16.6993i | −0.338363 | + | 0.740912i | ||||
\(509\) | −17.2570 | − | 5.06712i | −0.764904 | − | 0.224596i | −0.124068 | − | 0.992274i | \(-0.539594\pi\) |
−0.640836 | + | 0.767678i | \(0.721412\pi\) | |||||||
\(510\) | 2.98566 | + | 3.44564i | 0.132207 | + | 0.152575i | ||||
\(511\) | 3.65107 | − | 2.34640i | 0.161514 | − | 0.103799i | ||||
\(512\) | −0.654861 | + | 0.755750i | −0.0289410 | + | 0.0333997i | ||||
\(513\) | −1.06631 | + | 7.41635i | −0.0470787 | + | 0.327440i | ||||
\(514\) | −21.3490 | + | 6.26863i | −0.941663 | + | 0.276497i | ||||
\(515\) | 8.65727 | + | 5.56369i | 0.381485 | + | 0.245166i | ||||
\(516\) | 0.622672 | + | 4.33078i | 0.0274116 | + | 0.190652i | ||||
\(517\) | 10.1971 | + | 22.3286i | 0.448468 | + | 0.982009i | ||||
\(518\) | −1.12482 | − | 2.46301i | −0.0494218 | − | 0.108219i | ||||
\(519\) | 1.68650 | + | 11.7299i | 0.0740291 | + | 0.514884i | ||||
\(520\) | −2.69825 | − | 1.73406i | −0.118326 | − | 0.0760435i | ||||
\(521\) | −35.0262 | + | 10.2846i | −1.53453 | + | 0.450577i | −0.936432 | − | 0.350849i | \(-0.885893\pi\) |
−0.598094 | + | 0.801426i | \(0.704075\pi\) | |||||||
\(522\) | 0.976885 | − | 6.79438i | 0.0427571 | − | 0.297382i | ||||
\(523\) | 0.813710 | − | 0.939072i | 0.0355811 | − | 0.0410627i | −0.737680 | − | 0.675150i | \(-0.764079\pi\) |
0.773261 | + | 0.634088i | \(0.218624\pi\) | |||||||
\(524\) | 16.0592 | − | 10.3206i | 0.701548 | − | 0.450857i | ||||
\(525\) | 1.18457 | + | 1.36707i | 0.0516990 | + | 0.0596638i | ||||
\(526\) | 16.3276 | + | 4.79422i | 0.711918 | + | 0.209038i | ||||
\(527\) | −14.2479 | + | 31.1986i | −0.620648 | + | 1.35903i | ||||
\(528\) | −6.03085 | −0.262459 | ||||||||
\(529\) | −11.7572 | + | 19.7679i | −0.511183 | + | 0.859472i | ||||
\(530\) | −2.27101 | −0.0986464 | ||||||||
\(531\) | 4.80260 | − | 10.5162i | 0.208415 | − | 0.456366i | ||||
\(532\) | 13.0043 | + | 3.81842i | 0.563809 | + | 0.165549i | ||||
\(533\) | −0.319964 | − | 0.369258i | −0.0138592 | − | 0.0159944i | ||||
\(534\) | −3.68310 | + | 2.36699i | −0.159383 | + | 0.102429i | ||||
\(535\) | −6.84026 | + | 7.89408i | −0.295730 | + | 0.341291i | ||||
\(536\) | 0.561371 | − | 3.90442i | 0.0242476 | − | 0.168645i | ||||
\(537\) | 19.4999 | − | 5.72570i | 0.841485 | − | 0.247082i | ||||
\(538\) | 11.0407 | + | 7.09540i | 0.475997 | + | 0.305905i | ||||
\(539\) | 3.19958 | + | 22.2536i | 0.137816 | + | 0.958530i | ||||
\(540\) | 0.415415 | + | 0.909632i | 0.0178766 | + | 0.0391443i | ||||
\(541\) | 6.74473 | + | 14.7689i | 0.289978 | + | 0.634964i | 0.997418 | − | 0.0718092i | \(-0.0228773\pi\) |
−0.707440 | + | 0.706773i | \(0.750150\pi\) | |||||||
\(542\) | −3.44056 | − | 23.9296i | −0.147785 | − | 1.02786i | ||||
\(543\) | 7.19466 | + | 4.62373i | 0.308752 | + | 0.198423i | ||||
\(544\) | 4.37455 | − | 1.28448i | 0.187557 | − | 0.0550718i | ||||
\(545\) | −0.538186 | + | 3.74317i | −0.0230534 | + | 0.160340i | ||||
\(546\) | 3.79942 | − | 4.38476i | 0.162600 | − | 0.187650i | ||||
\(547\) | −24.7409 | + | 15.9000i | −1.05785 | + | 0.679836i | −0.949337 | − | 0.314260i | \(-0.898244\pi\) |
−0.108508 | + | 0.994096i | \(0.534607\pi\) | |||||||
\(548\) | −4.00484 | − | 4.62183i | −0.171078 | − | 0.197435i | ||||
\(549\) | −14.6736 | − | 4.30855i | −0.626253 | − | 0.183885i | ||||
\(550\) | 2.50531 | − | 5.48586i | 0.106827 | − | 0.233918i | ||||
\(551\) | 51.4312 | 2.19104 | ||||||||
\(552\) | −2.37095 | − | 4.16877i | −0.100914 | − | 0.177434i | ||||
\(553\) | −10.0720 | −0.428303 | ||||||||
\(554\) | −1.11074 | + | 2.43218i | −0.0471909 | + | 0.103334i | ||||
\(555\) | 1.43625 | + | 0.421721i | 0.0609654 | + | 0.0179010i | ||||
\(556\) | 13.2651 | + | 15.3087i | 0.562564 | + | 0.649234i | ||||
\(557\) | −25.0762 | + | 16.1155i | −1.06251 | + | 0.682836i | −0.950454 | − | 0.310865i | \(-0.899381\pi\) |
−0.112060 | + | 0.993701i | \(0.535745\pi\) | |||||||
\(558\) | −4.92636 | + | 5.68532i | −0.208549 | + | 0.240679i | ||||
\(559\) | −1.99717 | + | 13.8906i | −0.0844712 | + | 0.587510i | ||||
\(560\) | 1.73562 | − | 0.509624i | 0.0733434 | − | 0.0215356i | ||||
\(561\) | 23.1311 | + | 14.8655i | 0.976598 | + | 0.627621i | ||||
\(562\) | 3.92714 | + | 27.3138i | 0.165656 | + | 1.15216i | ||||
\(563\) | 14.4864 | + | 31.7208i | 0.610528 | + | 1.33687i | 0.922212 | + | 0.386685i | \(0.126380\pi\) |
−0.311684 | + | 0.950186i | \(0.600893\pi\) | |||||||
\(564\) | −1.69082 | − | 3.70239i | −0.0711966 | − | 0.155899i | ||||
\(565\) | 1.81843 | + | 12.6475i | 0.0765021 | + | 0.532084i | ||||
\(566\) | −26.2548 | − | 16.8729i | −1.10357 | − | 0.709223i | ||||
\(567\) | −1.73562 | + | 0.509624i | −0.0728892 | + | 0.0214022i | ||||
\(568\) | −0.370166 | + | 2.57456i | −0.0155318 | + | 0.108026i | ||||
\(569\) | −5.78494 | + | 6.67617i | −0.242517 | + | 0.279880i | −0.863939 | − | 0.503596i | \(-0.832010\pi\) |
0.621422 | + | 0.783476i | \(0.286555\pi\) | |||||||
\(570\) | −6.30319 | + | 4.05081i | −0.264012 | + | 0.169670i | ||||
\(571\) | 7.01654 | + | 8.09752i | 0.293633 | + | 0.338871i | 0.883328 | − | 0.468756i | \(-0.155297\pi\) |
−0.589695 | + | 0.807626i | \(0.700752\pi\) | |||||||
\(572\) | −18.5599 | − | 5.44968i | −0.776028 | − | 0.227862i | ||||
\(573\) | 1.62095 | − | 3.54939i | 0.0677163 | − | 0.148278i | ||||
\(574\) | 0.275556 | 0.0115015 | ||||||||
\(575\) | 4.77697 | − | 0.424923i | 0.199213 | − | 0.0177205i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −7.89704 | + | 17.2921i | −0.328758 | + | 0.719880i | −0.999767 | − | 0.0215693i | \(-0.993134\pi\) |
0.671009 | + | 0.741449i | \(0.265861\pi\) | |||||||
\(578\) | −3.63320 | − | 1.06680i | −0.151121 | − | 0.0443732i | ||||
\(579\) | 0.907060 | + | 1.04680i | 0.0376961 | + | 0.0435036i | ||||
\(580\) | 5.77458 | − | 3.71110i | 0.239776 | − | 0.154095i | ||||
\(581\) | −1.78739 | + | 2.06276i | −0.0741535 | + | 0.0855777i | ||||
\(582\) | 2.01996 | − | 14.0491i | 0.0837301 | − | 0.582355i | ||||
\(583\) | −13.1413 | + | 3.85865i | −0.544259 | + | 0.159809i | ||||
\(584\) | 2.01840 | + | 1.29715i | 0.0835220 | + | 0.0536763i | ||||
\(585\) | 0.456463 | + | 3.17477i | 0.0188724 | + | 0.131260i | ||||
\(586\) | −9.75216 | − | 21.3543i | −0.402858 | − | 0.882136i | ||||
\(587\) | 2.75199 | + | 6.02601i | 0.113587 | + | 0.248720i | 0.957884 | − | 0.287154i | \(-0.0927093\pi\) |
−0.844298 | + | 0.535874i | \(0.819982\pi\) | |||||||
\(588\) | −0.530536 | − | 3.68996i | −0.0218789 | − | 0.152171i | ||||
\(589\) | −47.4174 | − | 30.4733i | −1.95380 | − | 1.25563i | ||||
\(590\) | 11.0927 | − | 3.25710i | 0.456678 | − | 0.134093i | ||||
\(591\) | 1.22112 | − | 8.49310i | 0.0502303 | − | 0.349359i | ||||
\(592\) | 0.980250 | − | 1.13127i | 0.0402880 | − | 0.0464949i | ||||
\(593\) | −10.4883 | + | 6.74040i | −0.430702 | + | 0.276795i | −0.737978 | − | 0.674825i | \(-0.764219\pi\) |
0.307276 | + | 0.951621i | \(0.400583\pi\) | |||||||
\(594\) | 3.94937 | + | 4.55781i | 0.162045 | + | 0.187009i | ||||
\(595\) | −7.91309 | − | 2.32349i | −0.324405 | − | 0.0952540i | ||||
\(596\) | −5.18756 | + | 11.3592i | −0.212491 | + | 0.465290i | ||||
\(597\) | −18.8657 | −0.772122 | ||||||||
\(598\) | −3.52954 | − | 14.9718i | −0.144334 | − | 0.612243i | ||||
\(599\) | −34.0959 | −1.39312 | −0.696561 | − | 0.717498i | \(-0.745287\pi\) | ||||
−0.696561 | + | 0.717498i | \(0.745287\pi\) | |||||||
\(600\) | −0.415415 | + | 0.909632i | −0.0169592 | + | 0.0371356i | ||||
\(601\) | 14.8693 | + | 4.36602i | 0.606532 | + | 0.178094i | 0.570556 | − | 0.821259i | \(-0.306728\pi\) |
0.0359759 | + | 0.999353i | \(0.488546\pi\) | |||||||
\(602\) | −5.18288 | − | 5.98136i | −0.211238 | − | 0.243782i | ||||
\(603\) | −3.31839 | + | 2.13260i | −0.135135 | + | 0.0868461i | ||||
\(604\) | −4.20117 | + | 4.84841i | −0.170943 | + | 0.197279i | ||||
\(605\) | 3.61069 | − | 25.1129i | 0.146796 | − | 1.02099i | ||||
\(606\) | 1.33877 | − | 0.393099i | 0.0543840 | − | 0.0159686i | ||||
\(607\) | 10.6201 | + | 6.82512i | 0.431056 | + | 0.277023i | 0.738125 | − | 0.674664i | \(-0.235712\pi\) |
−0.307068 | + | 0.951687i | \(0.599348\pi\) | |||||||
\(608\) | 1.06631 | + | 7.41635i | 0.0432446 | + | 0.300773i | ||||
\(609\) | 5.15808 | + | 11.2946i | 0.209016 | + | 0.457681i | ||||
\(610\) | −6.35297 | − | 13.9111i | −0.257224 | − | 0.563242i | ||||
\(611\) | −1.85790 | − | 12.9220i | −0.0751624 | − | 0.522766i | ||||
\(612\) | −3.83547 | − | 2.46491i | −0.155040 | − | 0.0996379i | ||||
\(613\) | 17.9796 | − | 5.27930i | 0.726191 | − | 0.213229i | 0.102315 | − | 0.994752i | \(-0.467375\pi\) |
0.623876 | + | 0.781523i | \(0.285557\pi\) | |||||||
\(614\) | −2.06859 | + | 14.3873i | −0.0834814 | + | 0.580626i | ||||
\(615\) | −0.0997577 | + | 0.115127i | −0.00402262 | + | 0.00464235i | ||||
\(616\) | 9.17738 | − | 5.89794i | 0.369767 | − | 0.237635i | ||||
\(617\) | −0.276926 | − | 0.319590i | −0.0111486 | − | 0.0128662i | 0.750148 | − | 0.661270i | \(-0.229982\pi\) |
−0.761297 | + | 0.648404i | \(0.775437\pi\) | |||||||
\(618\) | −9.87407 | − | 2.89929i | −0.397193 | − | 0.116626i | ||||
\(619\) | −16.3166 | + | 35.7283i | −0.655818 | + | 1.43604i | 0.230550 | + | 0.973061i | \(0.425948\pi\) |
−0.886368 | + | 0.462981i | \(0.846780\pi\) | |||||||
\(620\) | −7.52276 | −0.302121 | ||||||||
\(621\) | −1.59790 | + | 4.52180i | −0.0641216 | + | 0.181454i | ||||
\(622\) | −29.0067 | −1.16306 | ||||||||
\(623\) | 3.28989 | − | 7.20387i | 0.131807 | − | 0.288617i | ||||
\(624\) | 3.07749 | + | 0.903633i | 0.123198 | + | 0.0361743i | ||||
\(625\) | −0.654861 | − | 0.755750i | −0.0261944 | − | 0.0302300i | ||||
\(626\) | 20.4900 | − | 13.1681i | 0.818944 | − | 0.526303i | ||||
\(627\) | −29.5911 | + | 34.1499i | −1.18175 | + | 1.36382i | ||||
\(628\) | −2.39907 | + | 16.6859i | −0.0957333 | + | 0.665840i | ||||
\(629\) | −6.54819 | + | 1.92272i | −0.261093 | + | 0.0766639i | ||||
\(630\) | −1.52174 | − | 0.977962i | −0.0606275 | − | 0.0389629i | ||||
\(631\) | −2.96485 | − | 20.6210i | −0.118029 | − | 0.820908i | −0.959722 | − | 0.280952i | \(-0.909350\pi\) |
0.841693 | − | 0.539956i | \(-0.181559\pi\) | |||||||
\(632\) | −2.31304 | − | 5.06485i | −0.0920078 | − | 0.201469i | ||||
\(633\) | −2.63988 | − | 5.78054i | −0.104926 | − | 0.229756i | ||||
\(634\) | −3.43418 | − | 23.8853i | −0.136389 | − | 0.948604i | ||||
\(635\) | 15.4440 | + | 9.92525i | 0.612876 | + | 0.393872i | ||||
\(636\) | 2.17902 | − | 0.639818i | 0.0864037 | − | 0.0253704i | ||||
\(637\) | 1.70165 | − | 11.8352i | 0.0674218 | − | 0.468929i | ||||
\(638\) | 27.1095 | − | 31.2860i | 1.07327 | − | 1.23862i | ||||
\(639\) | 2.18813 | − | 1.40622i | 0.0865610 | − | 0.0556294i | ||||
\(640\) | 0.654861 | + | 0.755750i | 0.0258856 | + | 0.0298736i | ||||
\(641\) | −15.2572 | − | 4.47991i | −0.602622 | − | 0.176946i | −0.0338306 | − | 0.999428i | \(-0.510771\pi\) |
−0.568791 | + | 0.822482i | \(0.692589\pi\) | |||||||
\(642\) | 4.33916 | − | 9.50143i | 0.171253 | − | 0.374992i | ||||
\(643\) | −21.3814 | −0.843201 | −0.421601 | − | 0.906782i | \(-0.638532\pi\) | ||||
−0.421601 | + | 0.906782i | \(0.638532\pi\) | |||||||
\(644\) | 7.68486 | + | 4.02507i | 0.302826 | + | 0.158610i | ||||
\(645\) | 4.37531 | 0.172278 | ||||||||
\(646\) | 14.1908 | − | 31.0735i | 0.558330 | − | 1.22257i | ||||
\(647\) | −36.9908 | − | 10.8615i | −1.45426 | − | 0.427009i | −0.543311 | − | 0.839532i | \(-0.682830\pi\) |
−0.910947 | + | 0.412523i | \(0.864648\pi\) | |||||||
\(648\) | −0.654861 | − | 0.755750i | −0.0257254 | − | 0.0296886i | ||||
\(649\) | 58.6543 | − | 37.6949i | 2.30238 | − | 1.47965i | ||||
\(650\) | −2.10041 | + | 2.42400i | −0.0823848 | + | 0.0950772i | ||||
\(651\) | 1.93660 | − | 13.4694i | 0.0759014 | − | 0.527906i | ||||
\(652\) | 10.6957 | − | 3.14055i | 0.418877 | − | 0.122993i | ||||
\(653\) | 8.97512 | + | 5.76796i | 0.351224 | + | 0.225718i | 0.704342 | − | 0.709861i | \(-0.251242\pi\) |
−0.353118 | + | 0.935579i | \(0.614879\pi\) | |||||||
\(654\) | −0.538186 | − | 3.74317i | −0.0210448 | − | 0.146369i | ||||
\(655\) | −7.93009 | − | 17.3645i | −0.309854 | − | 0.678486i | ||||
\(656\) | 0.0632819 | + | 0.138568i | 0.00247074 | + | 0.00541017i | ||||
\(657\) | −0.341453 | − | 2.37486i | −0.0133213 | − | 0.0926519i | ||||
\(658\) | 6.19379 | + | 3.98050i | 0.241459 | + | 0.155176i | ||||
\(659\) | −9.59962 | + | 2.81870i | −0.373948 | + | 0.109801i | −0.463306 | − | 0.886199i | \(-0.653337\pi\) |
0.0893575 | + | 0.996000i | \(0.471519\pi\) | |||||||
\(660\) | −0.858280 | + | 5.96947i | −0.0334085 | + | 0.232361i | ||||
\(661\) | 13.2710 | − | 15.3155i | 0.516181 | − | 0.595704i | −0.436490 | − | 0.899709i | \(-0.643778\pi\) |
0.952670 | + | 0.304005i | \(0.0983239\pi\) | |||||||
\(662\) | 10.5424 | − | 6.77517i | 0.409741 | − | 0.263324i | ||||
\(663\) | −9.57625 | − | 11.0516i | −0.371911 | − | 0.429208i | ||||
\(664\) | −1.44777 | − | 0.425104i | −0.0561844 | − | 0.0164972i | ||||
\(665\) | 5.63026 | − | 12.3286i | 0.218332 | − | 0.478081i | ||||
\(666\) | −1.49688 | −0.0580030 | ||||||||
\(667\) | 32.2838 | + | 6.43947i | 1.25004 | + | 0.249337i | ||||
\(668\) | 8.88178 | 0.343647 | ||||||||
\(669\) | 1.69833 | − | 3.71882i | 0.0656612 | − | 0.143778i | ||||
\(670\) | −3.78479 | − | 1.11131i | −0.146219 | − | 0.0429338i | ||||
\(671\) | −60.3979 | − | 69.7029i | −2.33164 | − | 2.69085i | ||||
\(672\) | −1.52174 | + | 0.977962i | −0.0587023 | + | 0.0377257i | ||||
\(673\) | 7.53589 | − | 8.69688i | 0.290487 | − | 0.335240i | −0.591683 | − | 0.806171i | \(-0.701536\pi\) |
0.882170 | + | 0.470931i | \(0.156082\pi\) | |||||||
\(674\) | 2.79086 | − | 19.4109i | 0.107500 | − | 0.747679i | ||||
\(675\) | 0.959493 | − | 0.281733i | 0.0369309 | − | 0.0108439i | ||||
\(676\) | −2.28190 | − | 1.46649i | −0.0877654 | − | 0.0564034i | ||||
\(677\) | 4.44465 | + | 30.9132i | 0.170822 | + | 1.18809i | 0.877154 | + | 0.480210i | \(0.159439\pi\) |
−0.706332 | + | 0.707881i | \(0.749651\pi\) | |||||||
\(678\) | −5.30798 | − | 11.6229i | −0.203852 | − | 0.446373i | ||||
\(679\) | 10.6657 | + | 23.3545i | 0.409311 | + | 0.896265i | ||||
\(680\) | −0.648846 | − | 4.51282i | −0.0248821 | − | 0.173059i | ||||
\(681\) | 7.25816 | + | 4.66453i | 0.278133 | + | 0.178745i | ||||
\(682\) | −43.5309 | + | 12.7818i | −1.66688 | + | 0.489441i | ||||
\(683\) | −4.04118 | + | 28.1070i | −0.154631 | + | 1.07549i | 0.753695 | + | 0.657224i | \(0.228269\pi\) |
−0.908327 | + | 0.418261i | \(0.862640\pi\) | |||||||
\(684\) | 4.90662 | − | 5.66254i | 0.187609 | − | 0.216513i | ||||
\(685\) | −5.14473 | + | 3.30632i | −0.196570 | + | 0.126328i | ||||
\(686\) | 12.7080 | + | 14.6658i | 0.485193 | + | 0.559943i | ||||
\(687\) | 17.3004 | + | 5.07986i | 0.660052 | + | 0.193809i | ||||
\(688\) | 1.81757 | − | 3.97993i | 0.0692942 | − | 0.151733i | ||||
\(689\) | 7.28407 | 0.277501 | ||||||||
\(690\) | −4.46375 | + | 1.75354i | −0.169932 | + | 0.0667561i | ||||
\(691\) | 12.9410 | 0.492300 | 0.246150 | − | 0.969232i | \(-0.420834\pi\) | ||||
0.246150 | + | 0.969232i | \(0.420834\pi\) | |||||||
\(692\) | 4.92287 | − | 10.7796i | 0.187139 | − | 0.409778i | ||||
\(693\) | −10.4673 | − | 3.07347i | −0.397619 | − | 0.116751i | ||||
\(694\) | −8.16682 | − | 9.42501i | −0.310008 | − | 0.357768i | ||||
\(695\) | 17.0407 | − | 10.9514i | 0.646391 | − | 0.415410i | ||||
\(696\) | −4.49513 | + | 5.18766i | −0.170387 | + | 0.196638i | ||||
\(697\) | 0.0988415 | − | 0.687458i | 0.00374389 | − | 0.0260393i | ||||
\(698\) | 11.9396 | − | 3.50577i | 0.451919 | − | 0.132695i | ||||
\(699\) | −17.8415 | − | 11.4660i | −0.674827 | − | 0.433685i | ||||
\(700\) | −0.257432 | − | 1.79048i | −0.00973003 | − | 0.0676738i | ||||
\(701\) | 9.83282 | + | 21.5309i | 0.371381 | + | 0.813210i | 0.999387 | + | 0.0350021i | \(0.0111438\pi\) |
−0.628007 | + | 0.778208i | \(0.716129\pi\) | |||||||
\(702\) | −1.33241 | − | 2.91757i | −0.0502885 | − | 0.110116i | ||||
\(703\) | −1.59614 | − | 11.1014i | −0.0601996 | − | 0.418698i | ||||
\(704\) | 5.07348 | + | 3.26052i | 0.191214 | + | 0.122886i | ||||
\(705\) | −3.90533 | + | 1.14671i | −0.147083 | + | 0.0431876i | ||||
\(706\) | 5.01817 | − | 34.9021i | 0.188861 | − | 1.31356i | ||||
\(707\) | −1.65283 | + | 1.90746i | −0.0621609 | + | 0.0717376i | ||||
\(708\) | −9.72571 | + | 6.25034i | −0.365515 | + | 0.234902i | ||||
\(709\) | 12.0429 | + | 13.8983i | 0.452282 | + | 0.521961i | 0.935399 | − | 0.353595i | \(-0.115041\pi\) |
−0.483117 | + | 0.875556i | \(0.660495\pi\) | |||||||
\(710\) | 2.49567 | + | 0.732796i | 0.0936609 | + | 0.0275013i | ||||
\(711\) | −2.31304 | + | 5.06485i | −0.0867458 | + | 0.189947i | ||||
\(712\) | 4.37811 | 0.164077 | ||||||||
\(713\) | −25.9489 | − | 25.0653i | −0.971794 | − | 0.938703i | ||||
\(714\) | 8.24716 | 0.308642 | ||||||||
\(715\) | −8.03555 | + | 17.5954i | −0.300513 | + | 0.658031i | ||||
\(716\) | −19.4999 | − | 5.72570i | −0.728747 | − | 0.213979i | ||||
\(717\) | 10.4340 | + | 12.0415i | 0.389667 | + | 0.449699i | ||||
\(718\) | −15.7141 | + | 10.0989i | −0.586447 | + | 0.376886i | ||||
\(719\) | 0.720364 | − | 0.831345i | 0.0268651 | − | 0.0310039i | −0.742158 | − | 0.670225i | \(-0.766198\pi\) |
0.769023 | + | 0.639221i | \(0.220743\pi\) | |||||||
\(720\) | 0.142315 | − | 0.989821i | 0.00530376 | − | 0.0368885i | ||||
\(721\) | 17.8611 | − | 5.24450i | 0.665183 | − | 0.195315i | ||||
\(722\) | 31.2435 | + | 20.0790i | 1.16276 | + | 0.747263i | ||||
\(723\) | −3.34246 | − | 23.2473i | −0.124307 | − | 0.864576i | ||||
\(724\) | −3.55276 | − | 7.77946i | −0.132037 | − | 0.289121i | ||||
\(725\) | −2.85151 | − | 6.24394i | −0.105903 | − | 0.231894i | ||||
\(726\) | 3.61069 | + | 25.1129i | 0.134005 | + | 0.932028i | ||||
\(727\) | −40.9576 | − | 26.3218i | −1.51903 | − | 0.976223i | −0.991981 | − | 0.126390i | \(-0.959661\pi\) |
−0.527052 | − | 0.849833i | \(-0.676703\pi\) | |||||||
\(728\) | −5.56685 | + | 1.63458i | −0.206321 | + | 0.0605814i | ||||
\(729\) | −0.142315 | + | 0.989821i | −0.00527092 | + | 0.0366601i | ||||
\(730\) | 1.57119 | − | 1.81325i | 0.0581524 | − | 0.0671115i | ||||
\(731\) | −16.7814 | + | 10.7847i | −0.620682 | + | 0.398888i | ||||
\(732\) | 10.0148 | + | 11.5577i | 0.370159 | + | 0.427186i | ||||
\(733\) | −24.1002 | − | 7.07644i | −0.890160 | − | 0.261374i | −0.195492 | − | 0.980705i | \(-0.562630\pi\) |
−0.694668 | + | 0.719331i | \(0.744449\pi\) | |||||||
\(734\) | 1.86475 | − | 4.08323i | 0.0688291 | − | 0.150715i | ||||
\(735\) | −3.72790 | −0.137506 | ||||||||
\(736\) | −0.259236 | + | 4.78882i | −0.00955555 | + | 0.176518i | ||||
\(737\) | −23.7891 | −0.876284 | ||||||||
\(738\) | 0.0632819 | − | 0.138568i | 0.00232944 | − | 0.00510076i | ||||
\(739\) | −26.8247 | − | 7.87643i | −0.986762 | − | 0.289739i | −0.251749 | − | 0.967793i | \(-0.581006\pi\) |
−0.735013 | + | 0.678053i | \(0.762824\pi\) | |||||||
\(740\) | −0.980250 | − | 1.13127i | −0.0360347 | − | 0.0415863i | ||||
\(741\) | 20.2169 | − | 12.9926i | 0.742688 | − | 0.477296i | ||||
\(742\) | −2.69018 | + | 3.10463i | −0.0987596 | + | 0.113975i | ||||
\(743\) | −5.64692 | + | 39.2752i | −0.207166 | + | 1.44087i | 0.575182 | + | 0.818026i | \(0.304931\pi\) |
−0.782347 | + | 0.622842i | \(0.785978\pi\) | |||||||
\(744\) | 7.21804 | − | 2.11941i | 0.264626 | − | 0.0777012i | ||||
\(745\) | 10.5053 | + | 6.75134i | 0.384884 | + | 0.247350i | ||||
\(746\) | −2.05974 | − | 14.3258i | −0.0754123 | − | 0.524504i | ||||
\(747\) | 0.626816 | + | 1.37253i | 0.0229340 | + | 0.0502184i | ||||
\(748\) | −11.4223 | − | 25.0113i | −0.417640 | − | 0.914503i | ||||
\(749\) | 2.68897 | + | 18.7022i | 0.0982530 | + | 0.683364i | ||||
\(750\) | 0.841254 | + | 0.540641i | 0.0307182 | + | 0.0197414i | ||||
\(751\) | −32.4893 | + | 9.53971i | −1.18555 | + | 0.348109i | −0.814311 | − | 0.580429i | \(-0.802885\pi\) |
−0.371239 | + | 0.928537i | \(0.621067\pi\) | |||||||
\(752\) | −0.579251 | + | 4.02878i | −0.0211231 | + | 0.146914i | ||||
\(753\) | −3.01759 | + | 3.48248i | −0.109967 | + | 0.126909i | ||||
\(754\) | −18.5215 | + | 11.9030i | −0.674512 | + | 0.433482i | ||||
\(755\) | 4.20117 | + | 4.84841i | 0.152896 | + | 0.176452i | ||||
\(756\) | 1.73562 | + | 0.509624i | 0.0631239 | + | 0.0185349i | ||||
\(757\) | −15.7239 | + | 34.4306i | −0.571496 | + | 1.25140i | 0.374501 | + | 0.927226i | \(0.377814\pi\) |
−0.945997 | + | 0.324175i | \(0.894913\pi\) | |||||||
\(758\) | 22.3165 | 0.810571 | ||||||||
\(759\) | −22.8504 | + | 17.7313i | −0.829416 | + | 0.643604i | ||||
\(760\) | 7.49261 | 0.271786 | ||||||||
\(761\) | 16.8519 | − | 36.9005i | 0.610881 | − | 1.33764i | −0.311089 | − | 0.950381i | \(-0.600694\pi\) |
0.921970 | − | 0.387261i | \(-0.126579\pi\) | |||||||
\(762\) | −17.6147 | − | 5.17214i | −0.638112 | − | 0.187367i | ||||
\(763\) | 4.47965 | + | 5.16980i | 0.162174 | + | 0.187159i | ||||
\(764\) | −3.28258 | + | 2.10959i | −0.118760 | + | 0.0763222i | ||||
\(765\) | −2.98566 | + | 3.44564i | −0.107947 | + | 0.124577i | ||||
\(766\) | 2.32347 | − | 16.1601i | 0.0839504 | − | 0.583888i | ||||
\(767\) | −35.5788 | + | 10.4469i | −1.28468 | + | 0.377215i | ||||
\(768\) | −0.841254 | − | 0.540641i | −0.0303561 | − | 0.0195087i | ||||
\(769\) | −4.24349 | − | 29.5141i | −0.153024 | − | 1.06431i | −0.911113 | − | 0.412156i | \(-0.864776\pi\) |
0.758089 | − | 0.652151i | \(-0.226133\pi\) | |||||||
\(770\) | −4.53183 | − | 9.92333i | −0.163316 | − | 0.357612i | ||||
\(771\) | −9.24310 | − | 20.2396i | −0.332882 | − | 0.728910i | ||||
\(772\) | −0.197123 | − | 1.37102i | −0.00709461 | − | 0.0493441i | ||||
\(773\) | −16.7426 | − | 10.7598i | −0.602191 | − | 0.387005i | 0.203730 | − | 0.979027i | \(-0.434693\pi\) |
−0.805922 | + | 0.592022i | \(0.798330\pi\) | |||||||
\(774\) | −4.19808 | + | 1.23267i | −0.150897 | + | 0.0443073i | ||||
\(775\) | −1.07060 | + | 7.44619i | −0.0384571 | + | 0.267475i | ||||
\(776\) | −9.29483 | + | 10.7268i | −0.333665 | + | 0.385070i | ||||
\(777\) | 2.27786 | − | 1.46389i | 0.0817179 | − | 0.0525169i | ||||
\(778\) | 1.39583 | + | 1.61087i | 0.0500429 | + | 0.0577525i | ||||
\(779\) | 1.09515 | + | 0.321564i | 0.0392377 | + | 0.0115212i | ||||
\(780\) | 1.33241 | − | 2.91757i | 0.0477078 | − | 0.104466i | ||||
\(781\) | 15.6864 | 0.561305 | ||||||||
\(782\) | 12.7983 | − | 17.7284i | 0.457666 | − | 0.633966i | ||||
\(783\) | 6.86425 | 0.245308 | ||||||||
\(784\) | −1.54863 | + | 3.39102i | −0.0553081 | + | 0.121108i | ||||
\(785\) | 16.1746 | + | 4.74930i | 0.577298 | + | 0.169510i | ||||
\(786\) | 12.5010 | + | 14.4269i | 0.445896 | + | 0.514591i | ||||
\(787\) | 7.06040 | − | 4.53744i | 0.251676 | − | 0.161742i | −0.408720 | − | 0.912660i | \(-0.634025\pi\) |
0.660396 | + | 0.750917i | \(0.270388\pi\) | |||||||
\(788\) | −5.61899 | + | 6.48466i | −0.200168 | + | 0.231006i | ||||
\(789\) | −2.42176 | + | 16.8437i | −0.0862170 | + | 0.599652i | ||||
\(790\) | −5.34248 | + | 1.56869i | −0.190077 | + | 0.0558116i | ||||
\(791\) | 19.4441 | + | 12.4959i | 0.691351 | + | 0.444305i | ||||
\(792\) | −0.858280 | − | 5.96947i | −0.0304976 | − | 0.212116i | ||||
\(793\) | 20.3766 | + | 44.6185i | 0.723594 | + | 1.58445i | ||||
\(794\) | −2.20902 | − | 4.83708i | −0.0783952 | − | 0.171662i | ||||
\(795\) | −0.323199 | − | 2.24790i | −0.0114627 | − | 0.0797246i | ||||
\(796\) | 15.8708 | + | 10.1996i | 0.562527 | + | 0.361514i | ||||
\(797\) | −10.7617 | + | 3.15993i | −0.381200 | + | 0.111930i | −0.466718 | − | 0.884406i | \(-0.654564\pi\) |
0.0855181 | + | 0.996337i | \(0.472745\pi\) | |||||||
\(798\) | −1.92884 | + | 13.4154i | −0.0682803 | + | 0.474900i | ||||
\(799\) | 12.1523 | − | 14.0244i | 0.429916 | − | 0.496149i | ||||
\(800\) | 0.841254 | − | 0.540641i | 0.0297428 | − | 0.0191145i | ||||
\(801\) | −2.86705 | − | 3.30876i | −0.101302 | − | 0.116909i | ||||
\(802\) | 16.4365 | + | 4.82619i | 0.580393 | + | 0.170419i | ||||
\(803\) | 6.01092 | − | 13.1621i | 0.212121 | − | 0.464480i | ||||
\(804\) | 3.94457 | 0.139114 | ||||||||
\(805\) | 5.07777 | − | 7.03381i | 0.178968 | − | 0.247909i | ||||
\(806\) | 24.1286 | 0.849894 | ||||||||
\(807\) | −5.45193 | + | 11.9381i | −0.191917 | + | 0.420240i | ||||
\(808\) | −1.33877 | − | 0.393099i | −0.0470979 | − | 0.0138292i | ||||
\(809\) | −7.31127 | − | 8.43766i | −0.257051 | − | 0.296652i | 0.612526 | − | 0.790451i | \(-0.290154\pi\) |
−0.869576 | + | 0.493798i | \(0.835608\pi\) | |||||||
\(810\) | −0.841254 | + | 0.540641i | −0.0295586 | + | 0.0189962i | ||||
\(811\) | 8.67749 | − | 10.0144i | 0.304708 | − | 0.351652i | −0.582658 | − | 0.812717i | \(-0.697987\pi\) |
0.887366 | + | 0.461066i | \(0.152533\pi\) | |||||||
\(812\) | 1.76708 | − | 12.2903i | 0.0620124 | − | 0.431306i | ||||
\(813\) | 23.1964 | − | 6.81107i | 0.813533 | − | 0.238875i | ||||
\(814\) | −7.59440 | − | 4.88062i | −0.266184 | − | 0.171066i | ||||
\(815\) | −1.58642 | − | 11.0338i | −0.0555699 | − | 0.386497i | ||||
\(816\) | 1.89397 | + | 4.14722i | 0.0663023 | + | 0.145182i | ||||
\(817\) | −13.6184 | − | 29.8200i | −0.476446 | − | 1.04327i | ||||
\(818\) | 1.46288 | + | 10.1746i | 0.0511485 | + | 0.355746i | ||||
\(819\) | 4.88084 | + | 3.13673i | 0.170550 | + | 0.109606i | ||||
\(820\) | 0.146164 | − | 0.0429175i | 0.00510426 | − | 0.00149874i | ||||
\(821\) | −2.86430 | + | 19.9217i | −0.0999649 | + | 0.695271i | 0.876784 | + | 0.480884i | \(0.159684\pi\) |
−0.976749 | + | 0.214387i | \(0.931225\pi\) | |||||||
\(822\) | 4.00484 | − | 4.62183i | 0.139685 | − | 0.161205i | ||||
\(823\) | −44.7999 | + | 28.7911i | −1.56163 | + | 1.00360i | −0.579587 | + | 0.814910i | \(0.696786\pi\) |
−0.982038 | + | 0.188685i | \(0.939577\pi\) | |||||||
\(824\) | 6.73912 | + | 7.77736i | 0.234768 | + | 0.270937i | ||||
\(825\) | 5.78656 | + | 1.69909i | 0.201462 | + | 0.0591546i | ||||
\(826\) | 8.68740 | − | 19.0228i | 0.302273 | − | 0.661886i | ||||
\(827\) | 40.8236 | 1.41958 | 0.709788 | − | 0.704415i | \(-0.248791\pi\) | ||||
0.709788 | + | 0.704415i | \(0.248791\pi\) | |||||||
\(828\) | 3.78891 | − | 2.94009i | 0.131674 | − | 0.102175i | ||||
\(829\) | 2.07606 | 0.0721044 | 0.0360522 | − | 0.999350i | \(-0.488522\pi\) | ||||
0.0360522 | + | 0.999350i | \(0.488522\pi\) | |||||||
\(830\) | −0.626816 | + | 1.37253i | −0.0217571 | + | 0.0476414i | ||||
\(831\) | −2.56550 | − | 0.753299i | −0.0889963 | − | 0.0261317i | ||||
\(832\) | −2.10041 | − | 2.42400i | −0.0728186 | − | 0.0840371i | ||||
\(833\) | 14.2983 | − | 9.18893i | 0.495405 | − | 0.318378i | ||||
\(834\) | −13.2651 | + | 15.3087i | −0.459332 | + | 0.530097i | ||||
\(835\) | 1.26401 | − | 8.79138i | 0.0437429 | − | 0.304238i | ||||
\(836\) | 43.3565 | − | 12.7306i | 1.49951 | − | 0.440297i | ||||
\(837\) | −6.32855 | − | 4.06711i | −0.218747 | − | 0.140580i | ||||
\(838\) | −2.70387 | − | 18.8058i | −0.0934036 | − | 0.649636i | ||||
\(839\) | 13.2963 | + | 29.1147i | 0.459038 | + | 1.00515i | 0.987706 | + | 0.156324i | \(0.0499644\pi\) |
−0.528668 | + | 0.848829i | \(0.677308\pi\) | |||||||
\(840\) | 0.751442 | + | 1.64543i | 0.0259272 | + | 0.0567726i | ||||
\(841\) | −2.57846 | − | 17.9336i | −0.0889123 | − | 0.618398i | ||||
\(842\) | 26.8347 | + | 17.2456i | 0.924785 | + | 0.594323i | ||||
\(843\) | −26.4769 | + | 7.77433i | −0.911914 | + | 0.267762i | ||||
\(844\) | −0.904384 | + | 6.29013i | −0.0311302 | + | 0.216515i | ||||
\(845\) | −1.77631 | + | 2.04997i | −0.0611069 | + | 0.0705211i | ||||
\(846\) | 3.42407 | − | 2.20052i | 0.117722 | − | 0.0756554i | ||||
\(847\) | −30.0540 | − | 34.6842i | −1.03267 | − | 1.19176i | ||||
\(848\) | −2.17902 | − | 0.639818i | −0.0748278 | − | 0.0219714i | ||||
\(849\) | 12.9648 | − | 28.3889i | 0.444949 | − | 0.974303i | ||||
\(850\) | −4.55923 | −0.156380 | ||||||||
\(851\) | 0.388045 | − | 7.16830i | 0.0133020 | − | 0.245726i | ||||
\(852\) | −2.60103 | −0.0891099 | ||||||||
\(853\) | 14.5265 | − | 31.8086i | 0.497378 | − | 1.08910i | −0.479935 | − | 0.877304i | \(-0.659340\pi\) |
0.977313 | − | 0.211801i | \(-0.0679329\pi\) | |||||||
\(854\) | −26.5430 | − | 7.79371i | −0.908281 | − | 0.266695i | ||||
\(855\) | −4.90662 | − | 5.66254i | −0.167803 | − | 0.193655i | ||||
\(856\) | −8.78720 | + | 5.64719i | −0.300340 | + | 0.193017i | ||||
\(857\) | 3.04747 | − | 3.51697i | 0.104100 | − | 0.120137i | −0.701309 | − | 0.712858i | \(-0.747401\pi\) |
0.805408 | + | 0.592720i | \(0.201946\pi\) | |||||||
\(858\) | 2.75286 | − | 19.1465i | 0.0939810 | − | 0.653652i | ||||
\(859\) | −45.9143 | + | 13.4816i | −1.56657 | + | 0.459988i | −0.946002 | − | 0.324161i | \(-0.894918\pi\) |
−0.620573 | + | 0.784149i | \(0.713100\pi\) | |||||||
\(860\) | −3.68075 | − | 2.36547i | −0.125512 | − | 0.0806620i | ||||
\(861\) | 0.0392158 | + | 0.272752i | 0.00133647 | + | 0.00929535i | ||||
\(862\) | −2.19763 | − | 4.81213i | −0.0748514 | − | 0.163902i | ||||
\(863\) | −10.9151 | − | 23.9007i | −0.371554 | − | 0.813590i | −0.999379 | − | 0.0352355i | \(-0.988782\pi\) |
0.627825 | − | 0.778355i | \(-0.283945\pi\) | |||||||
\(864\) | 0.142315 | + | 0.989821i | 0.00484165 | + | 0.0336744i | ||||
\(865\) | −9.96926 | − | 6.40685i | −0.338965 | − | 0.217840i | ||||
\(866\) | −22.7787 | + | 6.68842i | −0.774050 | + | 0.227282i | ||||
\(867\) | 0.538887 | − | 3.74804i | 0.0183016 | − | 0.127290i | ||||
\(868\) | −8.91126 | + | 10.2841i | −0.302468 | + | 0.349067i | ||||
\(869\) | −28.2492 | + | 18.1547i | −0.958289 | + | 0.615855i | ||||
\(870\) | 4.49513 | + | 5.18766i | 0.152399 | + | 0.175878i | ||||
\(871\) | 12.1394 | + | 3.56445i | 0.411327 | + | 0.120777i | ||||
\(872\) | −1.57096 | + | 3.43992i | −0.0531994 | + | 0.116490i | ||||
\(873\) | 14.1936 | 0.480381 | ||||||||
\(874\) | 25.8449 | + | 24.9648i | 0.874217 | + | 0.844449i | ||||
\(875\) | −1.80889 | −0.0611518 | ||||||||
\(876\) | −0.996696 | + | 2.18246i | −0.0336752 | + | 0.0737385i | ||||
\(877\) | 2.95277 | + | 0.867010i | 0.0997078 | + | 0.0292769i | 0.331206 | − | 0.943558i | \(-0.392545\pi\) |
−0.231498 | + | 0.972835i | \(0.574363\pi\) | |||||||
\(878\) | −24.5047 | − | 28.2799i | −0.826993 | − | 0.954400i | ||||
\(879\) | 19.7490 | − | 12.6919i | 0.666118 | − | 0.428088i | ||||
\(880\) | 3.94937 | − | 4.55781i | 0.133133 | − | 0.153644i | ||||
\(881\) | −7.62556 | + | 53.0370i | −0.256912 | + | 1.78686i | 0.297606 | + | 0.954689i | \(0.403812\pi\) |
−0.554518 | + | 0.832172i | \(0.687097\pi\) | |||||||
\(882\) | 3.57690 | − | 1.05027i | 0.120440 | − | 0.0353645i | ||||
\(883\) | 42.8839 | + | 27.5598i | 1.44316 | + | 0.927460i | 0.999511 | + | 0.0312580i | \(0.00995135\pi\) |
0.443645 | + | 0.896202i | \(0.353685\pi\) | |||||||
\(884\) | 2.08112 | + | 14.4745i | 0.0699956 | + | 0.486830i | ||||
\(885\) | 4.80260 | + | 10.5162i | 0.161438 | + | 0.353499i | ||||
\(886\) | 15.6993 | + | 34.3767i | 0.527429 | + | 1.15491i | ||||
\(887\) | 1.37756 | + | 9.58117i | 0.0462541 | + | 0.321704i | 0.999791 | + | 0.0204290i | \(0.00650322\pi\) |
−0.953537 | + | 0.301275i | \(0.902588\pi\) | |||||||
\(888\) | 1.25926 | + | 0.809276i | 0.0422579 | + | 0.0271575i | ||||
\(889\) | 31.8631 | − | 9.35584i | 1.06865 | − | 0.313785i | ||||
\(890\) | 0.623070 | − | 4.33355i | 0.0208854 | − | 0.145261i | ||||
\(891\) | −3.94937 | + | 4.55781i | −0.132309 | + | 0.152693i | ||||
\(892\) | −3.43927 | + | 2.21028i | −0.115155 | + | 0.0740058i | ||||
\(893\) | 19.9709 | + | 23.0477i | 0.668302 | + | 0.771262i | ||||
\(894\) | −11.9818 | − | 3.51818i | −0.400732 | − | 0.117666i | ||||
\(895\) | −8.44255 | + | 18.4866i | −0.282203 | + | 0.617939i | ||||
\(896\) | 1.80889 | 0.0604309 | ||||||||
\(897\) | 14.3171 | − | 5.62432i | 0.478034 | − | 0.187791i | ||||
\(898\) | 3.95342 | 0.131927 | ||||||||
\(899\) | −21.4513 | + | 46.9717i | −0.715439 | + | 1.56659i | ||||
\(900\) | −0.959493 | − | 0.281733i | −0.0319831 | − | 0.00939109i | ||||
\(901\) | 6.78047 | + | 7.82508i | 0.225890 | + | 0.260691i | ||||
\(902\) | 0.772864 | − | 0.496690i | 0.0257336 | − | 0.0165380i | ||||
\(903\) | 5.18288 | − | 5.98136i | 0.172475 | − | 0.199047i | ||||
\(904\) | −1.81843 | + | 12.6475i | −0.0604802 | + | 0.420649i | ||||
\(905\) | −8.20588 | + | 2.40946i | −0.272773 | + | 0.0800933i | ||||
\(906\) | −5.39695 | − | 3.46841i | −0.179302 | − | 0.115230i | ||||
\(907\) | 0.229603 | + | 1.59692i | 0.00762384 | + | 0.0530249i | 0.993278 | − | 0.115751i | \(-0.0369276\pi\) |
−0.985654 | + | 0.168776i | \(0.946018\pi\) | |||||||
\(908\) | −3.58411 | − | 7.84811i | −0.118943 | − | 0.260449i | ||||
\(909\) | 0.579626 | + | 1.26920i | 0.0192250 | + | 0.0420968i | ||||
\(910\) | 0.825692 | + | 5.74281i | 0.0273714 | + | 0.190372i | ||||
\(911\) | 46.2558 | + | 29.7268i | 1.53252 | + | 0.984893i | 0.989396 | + | 0.145242i | \(0.0463960\pi\) |
0.543126 | + | 0.839651i | \(0.317240\pi\) | |||||||
\(912\) | −7.18911 | + | 2.11091i | −0.238055 | + | 0.0698993i | ||||
\(913\) | −1.29505 | + | 9.00727i | −0.0428599 | + | 0.298097i | ||||
\(914\) | 3.51221 | − | 4.05331i | 0.116174 | − | 0.134071i | ||||
\(915\) | 12.8653 | − | 8.26805i | 0.425315 | − | 0.273333i | ||||
\(916\) | −11.8077 | − | 13.6268i | −0.390136 | − | 0.450241i | ||||
\(917\) | −33.1322 | − | 9.72850i | −1.09412 | − | 0.321263i | ||||
\(918\) | 1.89397 | − | 4.14722i | 0.0625104 | − | 0.136879i | ||||
\(919\) | 27.8808 | 0.919703 | 0.459851 | − | 0.887996i | \(-0.347903\pi\) | ||||
0.459851 | + | 0.887996i | \(0.347903\pi\) | |||||||
\(920\) | 4.70318 | + | 0.938117i | 0.155059 | + | 0.0309288i | ||||
\(921\) | −14.5353 | −0.478954 | ||||||||
\(922\) | 0.414277 | − | 0.907141i | 0.0136435 | − | 0.0298751i | ||||
\(923\) | −8.00465 | − | 2.35038i | −0.263476 | − | 0.0773636i | ||||
\(924\) | 7.14399 | + | 8.24460i | 0.235020 | + | 0.271227i | ||||
\(925\) | −1.25926 | + | 0.809276i | −0.0414041 | + | 0.0266088i | ||||
\(926\) | −5.41390 | + | 6.24798i | −0.177912 | + | 0.205321i | ||||
\(927\) | 1.46455 | − | 10.1862i | 0.0481022 | − | 0.334558i | ||||
\(928\) | 6.58620 | − | 1.93388i | 0.216203 | − | 0.0634828i | ||||
\(929\) | 20.4249 | + | 13.1263i | 0.670121 | + | 0.430660i | 0.830969 | − | 0.556319i | \(-0.187787\pi\) |
−0.160848 | + | 0.986979i | \(0.551423\pi\) | |||||||
\(930\) | −1.07060 | − | 7.44619i | −0.0351064 | − | 0.244170i | ||||
\(931\) | 11.6033 | + | 25.4076i | 0.380282 | + | 0.832701i | ||||
\(932\) | 8.81021 | + | 19.2917i | 0.288588 | + | 0.631919i | ||||
\(933\) | −4.12809 | − | 28.7115i | −0.135148 | − | 0.939972i | ||||
\(934\) | −24.7934 | − | 15.9338i | −0.811265 | − | 0.521369i | ||||
\(935\) | −26.3823 | + | 7.74653i | −0.862792 | + | 0.253339i | ||||
\(936\) | −0.456463 | + | 3.17477i | −0.0149199 | + | 0.103770i | ||||
\(937\) | −16.0914 | + | 18.5705i | −0.525683 | + | 0.606671i | −0.955045 | − | 0.296462i | \(-0.904193\pi\) |
0.429361 | + | 0.903133i | \(0.358739\pi\) | |||||||
\(938\) | −6.00261 | + | 3.85764i | −0.195992 | + | 0.125956i | ||||
\(939\) | 15.9501 | + | 18.4074i | 0.520512 | + | 0.600703i | ||||
\(940\) | 3.90533 | + | 1.14671i | 0.127378 | + | 0.0374015i | ||||
\(941\) | −9.21637 | + | 20.1810i | −0.300445 | + | 0.657883i | −0.998296 | − | 0.0583606i | \(-0.981413\pi\) |
0.697851 | + | 0.716243i | \(0.254140\pi\) | |||||||
\(942\) | −16.8575 | −0.549247 | ||||||||
\(943\) | 0.647173 | + | 0.338968i | 0.0210748 | + | 0.0110383i | ||||
\(944\) | 11.5610 | 0.376278 | ||||||||
\(945\) | 0.751442 | − | 1.64543i | 0.0244444 | − | 0.0535258i | ||||
\(946\) | −25.3180 | − | 7.43404i | −0.823160 | − | 0.241702i | ||||
\(947\) | −4.79416 | − | 5.53275i | −0.155789 | − | 0.179790i | 0.672489 | − | 0.740107i | \(-0.265225\pi\) |
−0.828279 | + | 0.560316i | \(0.810680\pi\) | |||||||
\(948\) | 4.68412 | − | 3.01030i | 0.152133 | − | 0.0977700i | ||||
\(949\) | −5.03946 | + | 5.81585i | −0.163588 | + | 0.188790i | ||||
\(950\) | 1.06631 | − | 7.41635i | 0.0345957 | − | 0.240618i | ||||
\(951\) | 23.1534 | − | 6.79845i | 0.750800 | − | 0.220455i | ||||
\(952\) | −6.93795 | − | 4.45875i | −0.224860 | − | 0.144509i | ||||
\(953\) | −2.36544 | − | 16.4520i | −0.0766241 | − | 0.532933i | −0.991592 | − | 0.129405i | \(-0.958693\pi\) |
0.914968 | − | 0.403527i | \(-0.132216\pi\) | |||||||
\(954\) | 0.943412 | + | 2.06578i | 0.0305441 | + | 0.0668822i | ||||
\(955\) | 1.62095 | + | 3.54939i | 0.0524528 | + | 0.114856i | ||||
\(956\) | −2.26754 | − | 15.7711i | −0.0733373 | − | 0.510072i | ||||
\(957\) | 34.8256 | + | 22.3811i | 1.12575 | + | 0.723477i | ||||
\(958\) | −15.2513 | + | 4.47818i | −0.492747 | + | 0.144684i | ||||
\(959\) | −1.57434 | + | 10.9498i | −0.0508381 | + | 0.353587i | ||||
\(960\) | −0.654861 | + | 0.755750i | −0.0211355 | + | 0.0243917i | ||||
\(961\) | 21.5293 | − | 13.8360i | 0.694494 | − | 0.446324i | ||||
\(962\) | 3.14407 | + | 3.62845i | 0.101369 | + | 0.116986i | ||||
\(963\) | 10.0222 | + | 2.94280i | 0.322962 | + | 0.0948303i | ||||
\(964\) | −9.75659 | + | 21.3639i | −0.314238 | + | 0.688086i | ||||
\(965\) | −1.38512 | −0.0445885 | ||||||||
\(966\) | −2.89043 | + | 8.17946i | −0.0929982 | + | 0.263170i | ||||
\(967\) | 2.47510 | 0.0795938 | 0.0397969 | − | 0.999208i | \(-0.487329\pi\) | ||||
0.0397969 | + | 0.999208i | \(0.487329\pi\) | |||||||
\(968\) | 10.5396 | − | 23.0784i | 0.338755 | − | 0.741769i | ||||
\(969\) | 32.7768 | + | 9.62414i | 1.05294 | + | 0.309172i | ||||
\(970\) | 9.29483 | + | 10.7268i | 0.298439 | + | 0.344417i | ||||
\(971\) | 43.9417 | − | 28.2396i | 1.41015 | − | 0.906251i | 0.410171 | − | 0.912009i | \(-0.365469\pi\) |
0.999983 | + | 0.00575710i | \(0.00183255\pi\) | |||||||
\(972\) | 0.654861 | − | 0.755750i | 0.0210047 | − | 0.0242407i | ||||
\(973\) | 5.21463 | − | 36.2686i | 0.167173 | − | 1.16272i | ||||
\(974\) | −8.79108 | + | 2.58129i | −0.281684 | + | 0.0827100i | ||||
\(975\) | −2.69825 | − | 1.73406i | −0.0864131 | − | 0.0555343i | ||||
\(976\) | −2.17643 | − | 15.1374i | −0.0696658 | − | 0.484536i | ||||
\(977\) | −7.17602 | − | 15.7133i | −0.229581 | − | 0.502712i | 0.759424 | − | 0.650596i | \(-0.225481\pi\) |
−0.989005 | + | 0.147884i | \(0.952754\pi\) | |||||||
\(978\) | 4.63074 | + | 10.1399i | 0.148075 | + | 0.324239i | ||||
\(979\) | −3.75764 | − | 26.1350i | −0.120095 | − | 0.835278i | ||||
\(980\) | 3.13611 | + | 2.01546i | 0.100179 | + | 0.0643814i | ||||
\(981\) | 3.62848 | − | 1.06542i | 0.115848 | − | 0.0340161i | ||||
\(982\) | 3.65149 | − | 25.3967i | 0.116524 | − | 0.810440i | ||||
\(983\) | −2.59338 | + | 2.99292i | −0.0827160 | + | 0.0954593i | −0.795599 | − | 0.605824i | \(-0.792844\pi\) |
0.712883 | + | 0.701283i | \(0.247389\pi\) | |||||||
\(984\) | −0.128152 | + | 0.0823581i | −0.00408533 | + | 0.00262548i | ||||
\(985\) | 5.61899 | + | 6.48466i | 0.179036 | + | 0.206618i | ||||
\(986\) | −30.0280 | − | 8.81702i | −0.956287 | − | 0.280791i | ||||
\(987\) | −3.05852 | + | 6.69723i | −0.0973538 | + | 0.213175i | ||||
\(988\) | −24.0319 | −0.764557 | ||||||||
\(989\) | −4.81473 | − | 20.4234i | −0.153100 | − | 0.649427i | ||||
\(990\) | −6.03085 | −0.191673 | ||||||||
\(991\) | −19.6163 | + | 42.9537i | −0.623132 | + | 1.36447i | 0.290087 | + | 0.957000i | \(0.406316\pi\) |
−0.913219 | + | 0.407469i | \(0.866412\pi\) | |||||||
\(992\) | −7.21804 | − | 2.11941i | −0.229173 | − | 0.0672912i | ||||
\(993\) | 8.20654 | + | 9.47085i | 0.260427 | + | 0.300548i | ||||
\(994\) | 3.95809 | − | 2.54371i | 0.125543 | − | 0.0806816i | ||||
\(995\) | 12.3544 | − | 14.2577i | 0.391661 | − | 0.452001i | ||||
\(996\) | 0.214737 | − | 1.49353i | 0.00680422 | − | 0.0473244i | ||||
\(997\) | 35.7136 | − | 10.4865i | 1.13106 | − | 0.332110i | 0.337936 | − | 0.941169i | \(-0.390271\pi\) |
0.793125 | + | 0.609059i | \(0.208453\pi\) | |||||||
\(998\) | 5.54510 | + | 3.56362i | 0.175527 | + | 0.112804i | ||||
\(999\) | −0.213029 | − | 1.48165i | −0.00673993 | − | 0.0468772i |
(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 | 690.2.m.d.121.1 | ✓ | 20 | |
23.4 | even | 11 | inner | 690.2.m.d.211.1 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.d.121.1 | ✓ | 20 | 1.1 | even | 1 | trivial | |
690.2.m.d.211.1 | yes | 20 | 23.4 | even | 11 | inner |