Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,2,Mod(23,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 27, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.bj (of order \(36\), degree \(12\), 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: | \(3.03431527681\) |
Analytic rank: | \(0\) |
Dimension: | \(672\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 23.8 | ||
Character | \(\chi\) | \(=\) | 380.23 |
Dual form | 380.2.bj.a.347.8 |
$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.31289 | − | 0.525665i | −0.928352 | − | 0.371701i | ||||
\(3\) | 1.78355 | + | 1.24886i | 1.02973 | + | 0.721027i | 0.960983 | − | 0.276607i | \(-0.0892100\pi\) |
0.0687501 | + | 0.997634i | \(0.478099\pi\) | |||||||
\(4\) | 1.44735 | + | 1.38028i | 0.723677 | + | 0.690139i | ||||
\(5\) | −1.31769 | + | 1.80657i | −0.589289 | + | 0.807922i | ||||
\(6\) | −1.68512 | − | 2.57716i | −0.687949 | − | 1.05212i | ||||
\(7\) | −4.05211 | + | 1.08576i | −1.53155 | + | 0.410378i | −0.923525 | − | 0.383537i | \(-0.874706\pi\) |
−0.608028 | + | 0.793916i | \(0.708039\pi\) | |||||||
\(8\) | −1.17465 | − | 2.57297i | −0.415302 | − | 0.909684i | ||||
\(9\) | 0.595352 | + | 1.63572i | 0.198451 | + | 0.545238i | ||||
\(10\) | 2.67963 | − | 1.67916i | 0.847373 | − | 0.530997i | ||||
\(11\) | 0.636513 | − | 0.367491i | 0.191916 | − | 0.110803i | −0.400963 | − | 0.916094i | \(-0.631324\pi\) |
0.592879 | + | 0.805291i | \(0.297991\pi\) | |||||||
\(12\) | 0.857659 | + | 4.26933i | 0.247585 | + | 1.23245i | ||||
\(13\) | −3.61545 | + | 2.53156i | −1.00274 | + | 0.702130i | −0.954962 | − | 0.296728i | \(-0.904104\pi\) |
−0.0477829 | + | 0.998858i | \(0.515216\pi\) | |||||||
\(14\) | 5.89071 | + | 0.704570i | 1.57436 | + | 0.188304i | ||||
\(15\) | −4.60631 | + | 1.57650i | −1.18934 | + | 0.407051i | ||||
\(16\) | 0.189663 | + | 3.99550i | 0.0474158 | + | 0.998875i | ||||
\(17\) | −3.04089 | + | 1.41799i | −0.737524 | + | 0.343913i | −0.754815 | − | 0.655937i | \(-0.772274\pi\) |
0.0172912 | + | 0.999850i | \(0.494496\pi\) | |||||||
\(18\) | 0.0782073 | − | 2.46047i | 0.0184336 | − | 0.579938i | ||||
\(19\) | −2.00344 | − | 3.87121i | −0.459621 | − | 0.888115i | ||||
\(20\) | −4.40073 | + | 0.795965i | −0.984034 | + | 0.177983i | ||||
\(21\) | −8.58310 | − | 3.12399i | −1.87299 | − | 0.681711i | ||||
\(22\) | −1.02885 | + | 0.147882i | −0.219351 | + | 0.0315286i | ||||
\(23\) | 7.79780 | − | 0.682219i | 1.62595 | − | 0.142252i | 0.762606 | − | 0.646863i | \(-0.223920\pi\) |
0.863347 | + | 0.504611i | \(0.168364\pi\) | |||||||
\(24\) | 1.11823 | − | 6.05600i | 0.228257 | − | 1.23618i | ||||
\(25\) | −1.52739 | − | 4.76100i | −0.305477 | − | 0.952199i | ||||
\(26\) | 6.07743 | − | 1.42315i | 1.19188 | − | 0.279102i | ||||
\(27\) | 0.709658 | − | 2.64848i | 0.136574 | − | 0.509700i | ||||
\(28\) | −7.36348 | − | 4.02156i | −1.39157 | − | 0.760004i | ||||
\(29\) | 2.65230 | + | 7.28713i | 0.492519 | + | 1.35319i | 0.898367 | + | 0.439245i | \(0.144754\pi\) |
−0.405848 | + | 0.913941i | \(0.633024\pi\) | |||||||
\(30\) | 6.87628 | + | 0.351602i | 1.25543 | + | 0.0641935i | ||||
\(31\) | −2.23860 | − | 1.29246i | −0.402064 | − | 0.232132i | 0.285310 | − | 0.958435i | \(-0.407903\pi\) |
−0.687374 | + | 0.726303i | \(0.741237\pi\) | |||||||
\(32\) | 1.85129 | − | 5.34535i | 0.327264 | − | 0.944933i | ||||
\(33\) | 1.59420 | + | 0.139474i | 0.277514 | + | 0.0242793i | ||||
\(34\) | 4.73774 | − | 0.263175i | 0.812515 | − | 0.0451341i | ||||
\(35\) | 3.37793 | − | 8.75111i | 0.570974 | − | 1.47921i | ||||
\(36\) | −1.39606 | + | 3.18921i | −0.232676 | + | 0.531535i | ||||
\(37\) | −4.73432 | + | 4.73432i | −0.778318 | + | 0.778318i | −0.979545 | − | 0.201227i | \(-0.935507\pi\) |
0.201227 | + | 0.979545i | \(0.435507\pi\) | |||||||
\(38\) | 0.595338 | + | 6.13560i | 0.0965766 | + | 0.995326i | ||||
\(39\) | −9.60989 | −1.53881 | ||||||||
\(40\) | 6.19608 | + | 1.26830i | 0.979686 | + | 0.200535i | ||||
\(41\) | 1.21984 | + | 6.91803i | 0.190506 | + | 1.08041i | 0.918674 | + | 0.395016i | \(0.129261\pi\) |
−0.728168 | + | 0.685399i | \(0.759628\pi\) | |||||||
\(42\) | 9.62648 | + | 8.61329i | 1.48540 | + | 1.32906i | ||||
\(43\) | −0.898247 | + | 10.2670i | −0.136981 | + | 1.56570i | 0.547583 | + | 0.836751i | \(0.315548\pi\) |
−0.684564 | + | 0.728952i | \(0.740008\pi\) | |||||||
\(44\) | 1.42850 | + | 0.346676i | 0.215354 | + | 0.0522634i | ||||
\(45\) | −3.73952 | − | 1.07982i | −0.557455 | − | 0.160970i | ||||
\(46\) | −10.5963 | − | 3.20335i | −1.56233 | − | 0.472308i | ||||
\(47\) | −1.71365 | − | 0.799087i | −0.249961 | − | 0.116559i | 0.293600 | − | 0.955928i | \(-0.405147\pi\) |
−0.543561 | + | 0.839370i | \(0.682924\pi\) | |||||||
\(48\) | −4.65153 | + | 7.36304i | −0.671390 | + | 1.06276i | ||||
\(49\) | 9.17854 | − | 5.29923i | 1.31122 | − | 0.757033i | ||||
\(50\) | −0.497401 | + | 7.05355i | −0.0703432 | + | 0.997523i | ||||
\(51\) | −7.19444 | − | 1.26857i | −1.00742 | − | 0.177636i | ||||
\(52\) | −8.72709 | − | 1.32626i | −1.21023 | − | 0.183919i | ||||
\(53\) | 0.729246 | + | 8.33532i | 0.100170 | + | 1.14494i | 0.865364 | + | 0.501144i | \(0.167087\pi\) |
−0.765194 | + | 0.643800i | \(0.777357\pi\) | |||||||
\(54\) | −2.32391 | + | 3.10412i | −0.316245 | + | 0.422417i | ||||
\(55\) | −0.174829 | + | 1.63414i | −0.0235740 | + | 0.220348i | ||||
\(56\) | 7.55344 | + | 9.15059i | 1.00937 | + | 1.22280i | ||||
\(57\) | 1.26134 | − | 9.40650i | 0.167068 | − | 1.24592i | ||||
\(58\) | 0.348414 | − | 10.9614i | 0.0457490 | − | 1.43930i | ||||
\(59\) | 5.52905 | + | 2.01241i | 0.719821 | + | 0.261993i | 0.675850 | − | 0.737039i | \(-0.263777\pi\) |
0.0439710 | + | 0.999033i | \(0.485999\pi\) | |||||||
\(60\) | −8.84297 | − | 4.07623i | −1.14162 | − | 0.526240i | ||||
\(61\) | 5.21429 | + | 4.37531i | 0.667621 | + | 0.560201i | 0.912360 | − | 0.409388i | \(-0.134258\pi\) |
−0.244739 | + | 0.969589i | \(0.578702\pi\) | |||||||
\(62\) | 2.25963 | + | 2.87360i | 0.286974 | + | 0.364948i | ||||
\(63\) | −4.18842 | − | 5.98169i | −0.527692 | − | 0.753622i | ||||
\(64\) | −5.24039 | + | 6.04469i | −0.655049 | + | 0.755586i | ||||
\(65\) | 0.190595 | − | 9.86737i | 0.0236404 | − | 1.22390i | ||||
\(66\) | −2.01969 | − | 1.02113i | −0.248606 | − | 0.125692i | ||||
\(67\) | 3.86215 | + | 1.80095i | 0.471836 | + | 0.220021i | 0.643967 | − | 0.765053i | \(-0.277287\pi\) |
−0.172131 | + | 0.985074i | \(0.555065\pi\) | |||||||
\(68\) | −6.35846 | − | 2.14494i | −0.771077 | − | 0.260112i | ||||
\(69\) | 14.7598 | + | 8.52155i | 1.77687 | + | 1.02587i | ||||
\(70\) | −9.03499 | + | 9.71358i | −1.07989 | + | 1.16099i | ||||
\(71\) | 1.55696 | + | 1.85551i | 0.184777 | + | 0.220208i | 0.850479 | − | 0.526009i | \(-0.176312\pi\) |
−0.665702 | + | 0.746218i | \(0.731868\pi\) | |||||||
\(72\) | 3.50932 | − | 3.45322i | 0.413578 | − | 0.406966i | ||||
\(73\) | −2.94518 | + | 4.20615i | −0.344707 | + | 0.492293i | −0.953649 | − | 0.300922i | \(-0.902706\pi\) |
0.608941 | + | 0.793215i | \(0.291594\pi\) | |||||||
\(74\) | 8.70430 | − | 3.72697i | 1.01185 | − | 0.433252i | ||||
\(75\) | 3.22163 | − | 10.3990i | 0.372002 | − | 1.20077i | ||||
\(76\) | 2.44366 | − | 8.36831i | 0.280306 | − | 0.959911i | ||||
\(77\) | −2.18021 | + | 2.18021i | −0.248458 | + | 0.248458i | ||||
\(78\) | 12.6167 | + | 5.05158i | 1.42856 | + | 0.571979i | ||||
\(79\) | −0.591642 | − | 3.35537i | −0.0665649 | − | 0.377508i | −0.999832 | − | 0.0183254i | \(-0.994167\pi\) |
0.933267 | − | 0.359183i | \(-0.116945\pi\) | |||||||
\(80\) | −7.46807 | − | 4.92219i | −0.834955 | − | 0.550318i | ||||
\(81\) | 8.57362 | − | 7.19412i | 0.952625 | − | 0.799347i | ||||
\(82\) | 2.03506 | − | 9.72383i | 0.224734 | − | 1.07382i | ||||
\(83\) | 0.616624 | + | 2.30127i | 0.0676832 | + | 0.252597i | 0.991475 | − | 0.130298i | \(-0.0415935\pi\) |
−0.923792 | + | 0.382896i | \(0.874927\pi\) | |||||||
\(84\) | −8.11080 | − | 16.3686i | −0.884960 | − | 1.78596i | ||||
\(85\) | 1.44525 | − | 7.36205i | 0.156760 | − | 0.798526i | ||||
\(86\) | 6.57630 | − | 13.0073i | 0.709141 | − | 1.40261i | ||||
\(87\) | −4.37006 | + | 16.3093i | −0.468520 | + | 1.74854i | ||||
\(88\) | −1.69323 | − | 1.20606i | −0.180498 | − | 0.128566i | ||||
\(89\) | −2.79224 | − | 0.492347i | −0.295977 | − | 0.0521887i | 0.0236880 | − | 0.999719i | \(-0.492459\pi\) |
−0.319665 | + | 0.947531i | \(0.603570\pi\) | |||||||
\(90\) | 4.34195 | + | 3.38342i | 0.457682 | + | 0.356644i | ||||
\(91\) | 11.9015 | − | 14.1837i | 1.24762 | − | 1.48685i | ||||
\(92\) | 12.2278 | + | 9.77572i | 1.27484 | + | 1.01919i | ||||
\(93\) | −2.37857 | − | 5.10085i | −0.246646 | − | 0.528933i | ||||
\(94\) | 1.82978 | + | 1.94992i | 0.188727 | + | 0.201118i | ||||
\(95\) | 9.63351 | + | 1.48170i | 0.988378 | + | 0.152019i | ||||
\(96\) | 9.97743 | − | 7.22171i | 1.01832 | − | 0.737062i | ||||
\(97\) | 1.00171 | − | 0.467106i | 0.101709 | − | 0.0474275i | −0.371098 | − | 0.928594i | \(-0.621019\pi\) |
0.472807 | + | 0.881166i | \(0.343241\pi\) | |||||||
\(98\) | −14.8360 | + | 2.13247i | −1.49866 | + | 0.215412i | ||||
\(99\) | 0.980060 | + | 0.822368i | 0.0984997 | + | 0.0826511i | ||||
\(100\) | 4.36084 | − | 8.99906i | 0.436084 | − | 0.899906i | ||||
\(101\) | 0.536895 | − | 3.04489i | 0.0534231 | − | 0.302977i | −0.946375 | − | 0.323070i | \(-0.895285\pi\) |
0.999798 | + | 0.0200927i | \(0.00639613\pi\) | |||||||
\(102\) | 8.77866 | + | 5.44736i | 0.869217 | + | 0.539369i | ||||
\(103\) | −10.7586 | − | 2.88275i | −1.06007 | − | 0.284046i | −0.313665 | − | 0.949534i | \(-0.601557\pi\) |
−0.746408 | + | 0.665488i | \(0.768223\pi\) | |||||||
\(104\) | 10.7605 | + | 6.32875i | 1.05516 | + | 0.620585i | ||||
\(105\) | 16.9536 | − | 11.3895i | 1.65450 | − | 1.11150i | ||||
\(106\) | 3.42416 | − | 11.3267i | 0.332584 | − | 1.10014i | ||||
\(107\) | −2.31153 | + | 0.619373i | −0.223464 | + | 0.0598770i | −0.368814 | − | 0.929503i | \(-0.620236\pi\) |
0.145350 | + | 0.989380i | \(0.453569\pi\) | |||||||
\(108\) | 4.68277 | − | 2.85376i | 0.450599 | − | 0.274603i | ||||
\(109\) | −8.71555 | − | 10.3868i | −0.834798 | − | 0.994874i | −0.999963 | − | 0.00860757i | \(-0.997260\pi\) |
0.165165 | − | 0.986266i | \(-0.447184\pi\) | |||||||
\(110\) | 1.08854 | − | 2.05355i | 0.103789 | − | 0.195798i | ||||
\(111\) | −14.3564 | + | 2.53142i | −1.36265 | + | 0.240272i | ||||
\(112\) | −5.10669 | − | 15.9843i | −0.482537 | − | 1.51037i | ||||
\(113\) | −6.15406 | − | 6.15406i | −0.578926 | − | 0.578926i | 0.355682 | − | 0.934607i | \(-0.384249\pi\) |
−0.934607 | + | 0.355682i | \(0.884249\pi\) | |||||||
\(114\) | −6.60066 | + | 11.6866i | −0.618209 | + | 1.09455i | ||||
\(115\) | −9.04261 | + | 14.9862i | −0.843227 | + | 1.39747i | ||||
\(116\) | −6.21945 | + | 14.2080i | −0.577462 | + | 1.31918i | ||||
\(117\) | −6.29338 | − | 4.40667i | −0.581823 | − | 0.407397i | ||||
\(118\) | −6.20117 | − | 5.54849i | −0.570864 | − | 0.510780i | ||||
\(119\) | 10.7824 | − | 9.04753i | 0.988423 | − | 0.829385i | ||||
\(120\) | 9.46710 | + | 10.0001i | 0.864224 | + | 0.912878i | ||||
\(121\) | −5.22990 | + | 9.05845i | −0.475446 | + | 0.823496i | ||||
\(122\) | −4.54583 | − | 8.48526i | −0.411560 | − | 0.768219i | ||||
\(123\) | −6.46398 | + | 13.8621i | −0.582838 | + | 1.24990i | ||||
\(124\) | −1.45610 | − | 4.96053i | −0.130761 | − | 0.445469i | ||||
\(125\) | 10.6137 | + | 3.51419i | 0.949317 | + | 0.314319i | ||||
\(126\) | 2.35457 | + | 10.0550i | 0.209762 | + | 0.895770i | ||||
\(127\) | 7.95475 | − | 5.56998i | 0.705870 | − | 0.494256i | −0.164673 | − | 0.986348i | \(-0.552657\pi\) |
0.870543 | + | 0.492093i | \(0.163768\pi\) | |||||||
\(128\) | 10.0575 | − | 5.18131i | 0.888969 | − | 0.457968i | ||||
\(129\) | −14.4241 | + | 17.1899i | −1.26997 | + | 1.51349i | ||||
\(130\) | −5.43716 | + | 12.8546i | −0.476870 | + | 1.12742i | ||||
\(131\) | 6.53947 | − | 17.9670i | 0.571356 | − | 1.56979i | −0.231007 | − | 0.972952i | \(-0.574202\pi\) |
0.802363 | − | 0.596836i | \(-0.203576\pi\) | |||||||
\(132\) | 2.11485 | + | 2.40230i | 0.184074 | + | 0.209094i | ||||
\(133\) | 12.3214 | + | 13.5113i | 1.06840 | + | 1.17158i | ||||
\(134\) | −4.12387 | − | 4.39464i | −0.356248 | − | 0.379639i | ||||
\(135\) | 3.84955 | + | 4.77192i | 0.331317 | + | 0.410702i | ||||
\(136\) | 7.22043 | + | 6.15849i | 0.619147 | + | 0.528086i | ||||
\(137\) | 11.5266 | − | 1.00845i | 0.984785 | − | 0.0861575i | 0.416627 | − | 0.909077i | \(-0.363212\pi\) |
0.568157 | + | 0.822920i | \(0.307656\pi\) | |||||||
\(138\) | −14.8984 | − | 18.9465i | −1.26824 | − | 1.61284i | ||||
\(139\) | −2.15897 | + | 12.2441i | −0.183122 | + | 1.03853i | 0.745223 | + | 0.666815i | \(0.232343\pi\) |
−0.928345 | + | 0.371720i | \(0.878768\pi\) | |||||||
\(140\) | 16.9680 | − | 8.00347i | 1.43406 | − | 0.676417i | ||||
\(141\) | −2.05843 | − | 3.56531i | −0.173351 | − | 0.300253i | ||||
\(142\) | −1.06873 | − | 3.25451i | −0.0896862 | − | 0.273112i | ||||
\(143\) | −1.37095 | + | 2.94002i | −0.114645 | + | 0.245857i | ||||
\(144\) | −6.42259 | + | 2.68896i | −0.535215 | + | 0.224080i | ||||
\(145\) | −16.6596 | − | 4.81062i | −1.38351 | − | 0.399500i | ||||
\(146\) | 6.07772 | − | 3.97403i | 0.502996 | − | 0.328893i | ||||
\(147\) | 22.9884 | + | 2.01122i | 1.89605 | + | 0.165883i | ||||
\(148\) | −13.3869 | + | 0.317554i | −1.10040 | + | 0.0261028i | ||||
\(149\) | 10.9446 | − | 1.92983i | 0.896620 | − | 0.158098i | 0.293698 | − | 0.955898i | \(-0.405114\pi\) |
0.602922 | + | 0.797800i | \(0.294003\pi\) | |||||||
\(150\) | −9.69601 | + | 11.9592i | −0.791676 | + | 0.976463i | ||||
\(151\) | − | 7.10576i | − | 0.578259i | −0.957290 | − | 0.289129i | \(-0.906634\pi\) | ||
0.957290 | − | 0.289129i | \(-0.0933658\pi\) | |||||||
\(152\) | −7.60717 | + | 9.70211i | −0.617023 | + | 0.786945i | ||||
\(153\) | −4.12983 | − | 4.12983i | −0.333877 | − | 0.333877i | ||||
\(154\) | 4.00844 | − | 1.71632i | 0.323009 | − | 0.138305i | ||||
\(155\) | 5.28469 | − | 2.34113i | 0.424477 | − | 0.188044i | ||||
\(156\) | −13.9089 | − | 13.2643i | −1.11360 | − | 1.06200i | ||||
\(157\) | 0.367492 | − | 4.20045i | 0.0293290 | − | 0.335232i | −0.967328 | − | 0.253529i | \(-0.918409\pi\) |
0.996657 | − | 0.0817031i | \(-0.0260359\pi\) | |||||||
\(158\) | −0.987038 | + | 4.71623i | −0.0785246 | + | 0.375203i | ||||
\(159\) | −9.10896 | + | 15.7772i | −0.722388 | + | 1.25121i | ||||
\(160\) | 7.21732 | + | 10.3880i | 0.570579 | + | 0.821243i | ||||
\(161\) | −30.8568 | + | 11.2310i | −2.43186 | + | 0.885123i | ||||
\(162\) | −15.0379 | + | 4.93823i | −1.18149 | + | 0.387984i | ||||
\(163\) | 10.3140 | + | 2.76363i | 0.807856 | + | 0.216464i | 0.639030 | − | 0.769182i | \(-0.279336\pi\) |
0.168826 | + | 0.985646i | \(0.446002\pi\) | |||||||
\(164\) | −7.78327 | + | 11.6965i | −0.607772 | + | 0.913347i | ||||
\(165\) | −2.35263 | + | 2.69624i | −0.183152 | + | 0.209902i | ||||
\(166\) | 0.400139 | − | 3.34545i | 0.0310568 | − | 0.259657i | ||||
\(167\) | −0.585922 | − | 6.69712i | −0.0453400 | − | 0.518239i | −0.984575 | − | 0.174964i | \(-0.944019\pi\) |
0.939235 | − | 0.343275i | \(-0.111536\pi\) | |||||||
\(168\) | 2.04419 | + | 25.7537i | 0.157712 | + | 1.98694i | ||||
\(169\) | 2.21639 | − | 6.08947i | 0.170491 | − | 0.468421i | ||||
\(170\) | −5.76743 | + | 8.90583i | −0.442341 | + | 0.683046i | ||||
\(171\) | 5.13944 | − | 5.58179i | 0.393023 | − | 0.426850i | ||||
\(172\) | −15.4714 | + | 13.6202i | −1.17968 | + | 1.03853i | ||||
\(173\) | −10.5441 | − | 22.6120i | −0.801656 | − | 1.71916i | −0.688088 | − | 0.725627i | \(-0.741550\pi\) |
−0.113568 | − | 0.993530i | \(-0.536228\pi\) | |||||||
\(174\) | 14.3106 | − | 19.1151i | 1.08489 | − | 1.44911i | ||||
\(175\) | 11.3584 | + | 17.6337i | 0.858617 | + | 1.33298i | ||||
\(176\) | 1.58903 | + | 2.47349i | 0.119778 | + | 0.186446i | ||||
\(177\) | 7.34813 | + | 10.4942i | 0.552319 | + | 0.788793i | ||||
\(178\) | 3.40709 | + | 2.11418i | 0.255372 | + | 0.158464i | ||||
\(179\) | 1.96648 | + | 3.40603i | 0.146981 | + | 0.254579i | 0.930110 | − | 0.367280i | \(-0.119711\pi\) |
−0.783129 | + | 0.621859i | \(0.786378\pi\) | |||||||
\(180\) | −3.92195 | − | 6.72447i | −0.292325 | − | 0.501212i | ||||
\(181\) | 5.87245 | − | 2.13740i | 0.436496 | − | 0.158872i | −0.114420 | − | 0.993433i | \(-0.536501\pi\) |
0.550916 | + | 0.834561i | \(0.314279\pi\) | |||||||
\(182\) | −23.0812 | + | 12.3654i | −1.71089 | + | 0.916583i | ||||
\(183\) | 3.83582 | + | 14.3155i | 0.283552 | + | 1.05823i | ||||
\(184\) | −10.9150 | − | 19.2622i | −0.804666 | − | 1.42003i | ||||
\(185\) | −2.31451 | − | 14.7912i | −0.170166 | − | 1.08747i | ||||
\(186\) | 0.441455 | + | 7.94717i | 0.0323690 | + | 0.582715i | ||||
\(187\) | −1.41447 | + | 2.02007i | −0.103436 | + | 0.147722i | ||||
\(188\) | −1.37729 | − | 3.52187i | −0.100449 | − | 0.256859i | ||||
\(189\) | 11.5024i | 0.836680i | ||||||||
\(190\) | −11.8689 | − | 7.00930i | −0.861057 | − | 0.508508i | ||||
\(191\) | 20.3147i | 1.46992i | 0.678108 | + | 0.734962i | \(0.262800\pi\) | ||||
−0.678108 | + | 0.734962i | \(0.737200\pi\) | |||||||
\(192\) | −16.8955 | + | 4.23651i | −1.21932 | + | 0.305744i | ||||
\(193\) | 5.39360 | − | 7.70286i | 0.388240 | − | 0.554464i | −0.576693 | − | 0.816961i | \(-0.695657\pi\) |
0.964933 | + | 0.262497i | \(0.0845460\pi\) | |||||||
\(194\) | −1.56068 | + | 0.0866936i | −0.112050 | + | 0.00622424i | ||||
\(195\) | 12.6629 | − | 17.3609i | 0.906806 | − | 1.24324i | ||||
\(196\) | 20.5990 | + | 4.99908i | 1.47136 | + | 0.357077i | ||||
\(197\) | 3.39320 | + | 12.6636i | 0.241755 | + | 0.902244i | 0.974986 | + | 0.222264i | \(0.0713447\pi\) |
−0.733231 | + | 0.679980i | \(0.761989\pi\) | |||||||
\(198\) | −0.854420 | − | 1.59486i | −0.0607210 | − | 0.113342i | ||||
\(199\) | −7.27516 | + | 2.64794i | −0.515723 | + | 0.187708i | −0.586752 | − | 0.809766i | \(-0.699594\pi\) |
0.0710295 | + | 0.997474i | \(0.477372\pi\) | |||||||
\(200\) | −10.4558 | + | 9.52243i | −0.739335 | + | 0.673337i | ||||
\(201\) | 4.63921 | + | 8.03535i | 0.327225 | + | 0.566770i | ||||
\(202\) | −2.30547 | + | 3.71537i | −0.162213 | + | 0.261412i | ||||
\(203\) | −18.6595 | − | 26.6485i | −1.30964 | − | 1.87036i | ||||
\(204\) | −8.66192 | − | 11.7664i | −0.606456 | − | 0.823814i | ||||
\(205\) | −14.1053 | − | 6.91210i | −0.985154 | − | 0.482762i | ||||
\(206\) | 12.6094 | + | 9.44013i | 0.878541 | + | 0.657725i | ||||
\(207\) | 5.75835 | + | 12.3488i | 0.400233 | + | 0.858302i | ||||
\(208\) | −10.8006 | − | 13.9654i | −0.748886 | − | 0.968325i | ||||
\(209\) | −2.69785 | − | 1.72783i | −0.186614 | − | 0.119516i | ||||
\(210\) | −28.2452 | + | 6.04126i | −1.94910 | + | 0.416887i | ||||
\(211\) | −3.23927 | + | 8.89981i | −0.223000 | + | 0.612688i | −0.999856 | − | 0.0169908i | \(-0.994591\pi\) |
0.776855 | + | 0.629679i | \(0.216814\pi\) | |||||||
\(212\) | −10.4496 | + | 13.0707i | −0.717680 | + | 0.897700i | ||||
\(213\) | 0.459648 | + | 5.25380i | 0.0314946 | + | 0.359985i | ||||
\(214\) | 3.36036 | + | 0.401922i | 0.229710 | + | 0.0274748i | ||||
\(215\) | −17.3644 | − | 15.1515i | −1.18425 | − | 1.03332i | ||||
\(216\) | −7.64807 | + | 1.28511i | −0.520385 | + | 0.0874403i | ||||
\(217\) | 10.4743 | + | 2.80659i | 0.711045 | + | 0.190524i | ||||
\(218\) | 5.98258 | + | 18.2181i | 0.405191 | + | 1.23389i | ||||
\(219\) | −10.5058 | + | 3.82378i | −0.709913 | + | 0.258387i | ||||
\(220\) | −2.50861 | + | 2.12387i | −0.169131 | + | 0.143191i | ||||
\(221\) | 7.40445 | − | 12.8249i | 0.498077 | − | 0.862695i | ||||
\(222\) | 20.1790 | + | 4.22317i | 1.35433 | + | 0.283441i | ||||
\(223\) | 0.151522 | − | 1.73191i | 0.0101467 | − | 0.115977i | −0.989432 | − | 0.144996i | \(-0.953683\pi\) |
0.999579 | + | 0.0290195i | \(0.00923848\pi\) | |||||||
\(224\) | −1.69786 | + | 23.6700i | −0.113443 | + | 1.58152i | ||||
\(225\) | 6.87830 | − | 5.33284i | 0.458554 | − | 0.355522i | ||||
\(226\) | 4.84463 | + | 11.3146i | 0.322260 | + | 0.752634i | ||||
\(227\) | −6.64263 | − | 6.64263i | −0.440887 | − | 0.440887i | 0.451423 | − | 0.892310i | \(-0.350917\pi\) |
−0.892310 | + | 0.451423i | \(0.850917\pi\) | |||||||
\(228\) | 14.8092 | − | 11.8735i | 0.980762 | − | 0.786343i | ||||
\(229\) | − | 5.07048i | − | 0.335067i | −0.985866 | − | 0.167533i | \(-0.946420\pi\) | ||
0.985866 | − | 0.167533i | \(-0.0535802\pi\) | |||||||
\(230\) | 19.7497 | − | 14.9219i | 1.30225 | − | 0.983918i | ||||
\(231\) | −6.61129 | + | 1.16575i | −0.434991 | + | 0.0767007i | ||||
\(232\) | 15.6341 | − | 15.3841i | 1.02643 | − | 1.01002i | ||||
\(233\) | 6.48452 | + | 0.567322i | 0.424815 | + | 0.0371665i | 0.297559 | − | 0.954703i | \(-0.403828\pi\) |
0.127256 | + | 0.991870i | \(0.459383\pi\) | |||||||
\(234\) | 5.94608 | + | 9.09368i | 0.388707 | + | 0.594472i | ||||
\(235\) | 3.70166 | − | 2.04287i | 0.241470 | − | 0.133262i | ||||
\(236\) | 5.22480 | + | 10.5443i | 0.340106 | + | 0.686375i | ||||
\(237\) | 3.13515 | − | 6.72334i | 0.203650 | − | 0.436728i | ||||
\(238\) | −18.9121 | + | 6.21046i | −1.22589 | + | 0.402564i | ||||
\(239\) | 4.37579 | + | 7.57908i | 0.283046 | + | 0.490250i | 0.972133 | − | 0.234428i | \(-0.0753217\pi\) |
−0.689087 | + | 0.724678i | \(0.741988\pi\) | |||||||
\(240\) | −7.17257 | − | 18.1055i | −0.462987 | − | 1.16871i | ||||
\(241\) | −4.07950 | + | 23.1360i | −0.262784 | + | 1.49032i | 0.512488 | + | 0.858694i | \(0.328724\pi\) |
−0.775272 | + | 0.631627i | \(0.782387\pi\) | |||||||
\(242\) | 11.6280 | − | 9.14357i | 0.747475 | − | 0.587771i | ||||
\(243\) | 16.0815 | − | 1.40695i | 1.03163 | − | 0.0902557i | ||||
\(244\) | 1.50777 | + | 13.5298i | 0.0965254 | + | 0.866155i | ||||
\(245\) | −2.52104 | + | 23.5644i | −0.161063 | + | 1.50548i | ||||
\(246\) | 15.7733 | − | 14.8014i | 1.00567 | − | 0.943706i | ||||
\(247\) | 17.0435 | + | 8.92430i | 1.08445 | + | 0.567840i | ||||
\(248\) | −0.695885 | + | 7.27804i | −0.0441888 | + | 0.462156i | ||||
\(249\) | −1.77418 | + | 4.87451i | −0.112434 | + | 0.308909i | ||||
\(250\) | −12.0873 | − | 10.1930i | −0.764469 | − | 0.644661i | ||||
\(251\) | −11.7076 | + | 13.9525i | −0.738976 | + | 0.880677i | −0.996326 | − | 0.0856414i | \(-0.972706\pi\) |
0.257351 | + | 0.966318i | \(0.417151\pi\) | |||||||
\(252\) | 2.19427 | − | 14.4388i | 0.138226 | − | 0.909559i | ||||
\(253\) | 4.71269 | − | 3.29986i | 0.296284 | − | 0.207461i | ||||
\(254\) | −13.3716 | + | 3.13123i | −0.839012 | + | 0.196471i | ||||
\(255\) | 11.7718 | − | 11.3257i | 0.737180 | − | 0.709241i | ||||
\(256\) | −15.9281 | + | 1.51560i | −0.995503 | + | 0.0947249i | ||||
\(257\) | 9.70661 | − | 20.8159i | 0.605482 | − | 1.29846i | −0.329631 | − | 0.944110i | \(-0.606924\pi\) |
0.935113 | − | 0.354350i | \(-0.115298\pi\) | |||||||
\(258\) | 27.9734 | − | 14.9863i | 1.74154 | − | 0.933003i | ||||
\(259\) | 14.0437 | − | 24.3243i | 0.872630 | − | 1.51144i | ||||
\(260\) | 13.8956 | − | 14.0185i | 0.861767 | − | 0.869391i | ||||
\(261\) | −10.3406 | + | 8.67681i | −0.640068 | + | 0.537081i | ||||
\(262\) | −18.0302 | + | 20.1512i | −1.11391 | + | 1.24494i | ||||
\(263\) | −5.80453 | − | 4.06438i | −0.357923 | − | 0.250620i | 0.380759 | − | 0.924674i | \(-0.375663\pi\) |
−0.738682 | + | 0.674054i | \(0.764552\pi\) | |||||||
\(264\) | −1.51376 | − | 4.26566i | −0.0931655 | − | 0.262533i | ||||
\(265\) | −16.0192 | − | 9.66593i | −0.984055 | − | 0.593774i | ||||
\(266\) | −9.07416 | − | 24.2157i | −0.556372 | − | 1.48476i | ||||
\(267\) | −4.36523 | − | 4.36523i | −0.267148 | − | 0.267148i | ||||
\(268\) | 3.10408 | + | 7.93745i | 0.189612 | + | 0.484857i | ||||
\(269\) | 16.3726 | − | 2.88693i | 0.998254 | − | 0.176019i | 0.349434 | − | 0.936961i | \(-0.386374\pi\) |
0.648820 | + | 0.760942i | \(0.275263\pi\) | |||||||
\(270\) | −2.54560 | − | 8.28858i | −0.154920 | − | 0.504427i | ||||
\(271\) | −2.74990 | − | 3.27720i | −0.167045 | − | 0.199076i | 0.676028 | − | 0.736876i | \(-0.263700\pi\) |
−0.843072 | + | 0.537800i | \(0.819255\pi\) | |||||||
\(272\) | −6.24233 | − | 11.8809i | −0.378497 | − | 0.720388i | ||||
\(273\) | 38.9403 | − | 10.4340i | 2.35678 | − | 0.631496i | ||||
\(274\) | −15.6633 | − | 4.73515i | −0.946252 | − | 0.286061i | ||||
\(275\) | −2.72182 | − | 2.46914i | −0.164132 | − | 0.148895i | ||||
\(276\) | 9.60047 | + | 32.7063i | 0.577880 | + | 1.96869i | ||||
\(277\) | −6.99734 | − | 1.87493i | −0.420429 | − | 0.112654i | 0.0424008 | − | 0.999101i | \(-0.486499\pi\) |
−0.462830 | + | 0.886447i | \(0.653166\pi\) | |||||||
\(278\) | 9.27080 | − | 14.9403i | 0.556026 | − | 0.896060i | ||||
\(279\) | 0.781336 | − | 4.43118i | 0.0467774 | − | 0.265288i | ||||
\(280\) | −26.4843 | + | 1.58818i | −1.58274 | + | 0.0949118i | ||||
\(281\) | −4.26965 | − | 3.58266i | −0.254706 | − | 0.213724i | 0.506490 | − | 0.862246i | \(-0.330943\pi\) |
−0.761196 | + | 0.648522i | \(0.775387\pi\) | |||||||
\(282\) | 0.828335 | + | 5.76290i | 0.0493266 | + | 0.343176i | ||||
\(283\) | 5.99533 | − | 2.79567i | 0.356385 | − | 0.166185i | −0.236177 | − | 0.971710i | \(-0.575894\pi\) |
0.592562 | + | 0.805525i | \(0.298117\pi\) | |||||||
\(284\) | −0.307652 | + | 4.83461i | −0.0182558 | + | 0.286881i | ||||
\(285\) | 15.3314 | + | 14.6735i | 0.908156 | + | 0.869186i | ||||
\(286\) | 3.34537 | − | 3.13926i | 0.197816 | − | 0.185628i | ||||
\(287\) | −12.4542 | − | 26.7082i | −0.735149 | − | 1.57653i | ||||
\(288\) | 9.84563 | − | 0.154182i | 0.580159 | − | 0.00908529i | ||||
\(289\) | −3.69107 | + | 4.39885i | −0.217122 | + | 0.258756i | ||||
\(290\) | 19.3434 | + | 15.0732i | 1.13589 | + | 0.885127i | ||||
\(291\) | 2.36995 | + | 0.417887i | 0.138929 | + | 0.0244970i | ||||
\(292\) | −10.0684 | + | 2.02262i | −0.589207 | + | 0.118365i | ||||
\(293\) | −7.61199 | + | 28.4083i | −0.444697 | + | 1.65963i | 0.272038 | + | 0.962287i | \(0.412302\pi\) |
−0.716735 | + | 0.697346i | \(0.754364\pi\) | |||||||
\(294\) | −29.1239 | − | 14.7247i | −1.69854 | − | 0.858761i | ||||
\(295\) | −10.9211 | + | 7.33688i | −0.635853 | + | 0.427169i | ||||
\(296\) | 17.7425 | + | 6.62012i | 1.03126 | + | 0.384786i | ||||
\(297\) | −0.521586 | − | 1.94659i | −0.0302655 | − | 0.112952i | ||||
\(298\) | −15.3835 | − | 3.21955i | −0.891144 | − | 0.186504i | ||||
\(299\) | −26.4655 | + | 22.2072i | −1.53054 | + | 1.28427i | ||||
\(300\) | 19.0163 | − | 10.6042i | 1.09791 | − | 0.612235i | ||||
\(301\) | −7.50771 | − | 42.5783i | −0.432737 | − | 2.45417i | ||||
\(302\) | −3.73525 | + | 9.32908i | −0.214939 | + | 0.536828i | ||||
\(303\) | 4.76020 | − | 4.76020i | 0.273466 | − | 0.273466i | ||||
\(304\) | 15.0874 | − | 8.73897i | 0.865323 | − | 0.501214i | ||||
\(305\) | −14.7751 | + | 3.65467i | −0.846020 | + | 0.209266i | ||||
\(306\) | 3.25110 | + | 7.59291i | 0.185853 | + | 0.434058i | ||||
\(307\) | 10.2539 | − | 14.6441i | 0.585222 | − | 0.835783i | −0.411929 | − | 0.911216i | \(-0.635145\pi\) |
0.997151 | + | 0.0754327i | \(0.0240338\pi\) | |||||||
\(308\) | −6.16484 | + | 0.146238i | −0.351275 | + | 0.00833266i | ||||
\(309\) | −15.5883 | − | 18.5774i | −0.886788 | − | 1.05683i | ||||
\(310\) | −8.16886 | + | 0.295665i | −0.463960 | + | 0.0167927i | ||||
\(311\) | −17.1629 | − | 9.90903i | −0.973221 | − | 0.561889i | −0.0730042 | − | 0.997332i | \(-0.523259\pi\) |
−0.900217 | + | 0.435442i | \(0.856592\pi\) | |||||||
\(312\) | 11.2883 | + | 24.7260i | 0.639072 | + | 1.39983i | ||||
\(313\) | 29.0795 | + | 13.5600i | 1.64367 | + | 0.766455i | 0.999999 | + | 0.00115199i | \(0.000366691\pi\) |
0.643670 | + | 0.765303i | \(0.277411\pi\) | |||||||
\(314\) | −2.69050 | + | 5.32155i | −0.151834 | + | 0.300312i | ||||
\(315\) | 16.3254 | + | 0.315335i | 0.919831 | + | 0.0177671i | ||||
\(316\) | 3.77503 | − | 5.67303i | 0.212362 | − | 0.319133i | ||||
\(317\) | −1.21393 | − | 1.73367i | −0.0681811 | − | 0.0973727i | 0.783613 | − | 0.621249i | \(-0.213374\pi\) |
−0.851794 | + | 0.523876i | \(0.824485\pi\) | |||||||
\(318\) | 20.2526 | − | 15.9254i | 1.13571 | − | 0.893053i | ||||
\(319\) | 4.36618 | + | 3.66366i | 0.244459 | + | 0.205125i | ||||
\(320\) | −4.01493 | − | 17.4322i | −0.224442 | − | 0.974488i | ||||
\(321\) | −4.89624 | − | 1.78208i | −0.273281 | − | 0.0994662i | ||||
\(322\) | 46.4153 | + | 1.47533i | 2.58662 | + | 0.0822172i | ||||
\(323\) | 11.5816 | + | 8.93105i | 0.644416 | + | 0.496937i | ||||
\(324\) | 22.3390 | + | 1.42155i | 1.24105 | + | 0.0789749i | ||||
\(325\) | 17.5750 | + | 13.3465i | 0.974883 | + | 0.740329i | ||||
\(326\) | −12.0884 | − | 9.05005i | −0.669515 | − | 0.501236i | ||||
\(327\) | −2.57303 | − | 29.4098i | −0.142289 | − | 1.62637i | ||||
\(328\) | 16.3670 | − | 11.2649i | 0.903718 | − | 0.621998i | ||||
\(329\) | 7.81150 | + | 1.37738i | 0.430662 | + | 0.0759373i | ||||
\(330\) | 4.50606 | − | 2.30317i | 0.248050 | − | 0.126786i | ||||
\(331\) | 7.33727 | − | 4.23618i | 0.403293 | − | 0.232841i | −0.284611 | − | 0.958643i | \(-0.591864\pi\) |
0.687904 | + | 0.725802i | \(0.258531\pi\) | |||||||
\(332\) | −2.28392 | + | 4.18186i | −0.125347 | + | 0.229510i | ||||
\(333\) | −10.5626 | − | 4.92542i | −0.578826 | − | 0.269911i | ||||
\(334\) | −2.75119 | + | 9.10058i | −0.150538 | + | 0.497961i | ||||
\(335\) | −8.34265 | + | 4.60414i | −0.455808 | + | 0.251551i | ||||
\(336\) | 10.8540 | − | 34.8863i | 0.592135 | − | 1.90320i | ||||
\(337\) | −1.43205 | + | 16.3684i | −0.0780089 | + | 0.891646i | 0.851863 | + | 0.523764i | \(0.175473\pi\) |
−0.929872 | + | 0.367882i | \(0.880083\pi\) | |||||||
\(338\) | −6.11089 | + | 6.82972i | −0.332389 | + | 0.371488i | ||||
\(339\) | −3.29055 | − | 18.6616i | −0.178718 | − | 1.01356i | ||||
\(340\) | 12.2535 | − | 8.66064i | 0.664538 | − | 0.469689i | ||||
\(341\) | −1.89986 | −0.102883 | ||||||||
\(342\) | −9.68166 | + | 4.62664i | −0.523524 | + | 0.250180i | ||||
\(343\) | −10.6743 | + | 10.6743i | −0.576358 | + | 0.576358i | ||||
\(344\) | 27.4719 | − | 9.74897i | 1.48118 | − | 0.525629i | ||||
\(345\) | −34.8436 | + | 15.4358i | −1.87591 | + | 0.831033i | ||||
\(346\) | 1.95696 | + | 35.2297i | 0.105207 | + | 1.89396i | ||||
\(347\) | 12.7689 | + | 1.11713i | 0.685471 | + | 0.0599709i | 0.424570 | − | 0.905395i | \(-0.360425\pi\) |
0.260900 | + | 0.965366i | \(0.415981\pi\) | |||||||
\(348\) | −28.8364 | + | 17.5734i | −1.54579 | + | 0.942034i | ||||
\(349\) | −25.9505 | − | 14.9825i | −1.38910 | − | 0.801996i | −0.395885 | − | 0.918300i | \(-0.629562\pi\) |
−0.993214 | + | 0.116304i | \(0.962895\pi\) | |||||||
\(350\) | −5.64294 | − | 29.1218i | −0.301628 | − | 1.55663i | ||||
\(351\) | 4.13906 | + | 11.3720i | 0.220927 | + | 0.606992i | ||||
\(352\) | −0.785999 | − | 4.08272i | −0.0418939 | − | 0.217609i | ||||
\(353\) | −8.20822 | + | 30.6335i | −0.436880 | + | 1.63046i | 0.299649 | + | 0.954050i | \(0.403131\pi\) |
−0.736528 | + | 0.676407i | \(0.763536\pi\) | |||||||
\(354\) | −4.13084 | − | 17.6404i | −0.219551 | − | 0.937576i | ||||
\(355\) | −5.40369 | + | 0.367764i | −0.286798 | + | 0.0195189i | ||||
\(356\) | −3.36178 | − | 4.56667i | −0.178174 | − | 0.242033i | ||||
\(357\) | 30.5300 | − | 2.67103i | 1.61582 | − | 0.141366i | ||||
\(358\) | −0.791331 | − | 5.50545i | −0.0418231 | − | 0.290972i | ||||
\(359\) | 11.1425 | + | 4.05555i | 0.588080 | + | 0.214044i | 0.618885 | − | 0.785482i | \(-0.287585\pi\) |
−0.0308046 | + | 0.999525i | \(0.509807\pi\) | |||||||
\(360\) | 1.61428 | + | 10.8901i | 0.0850798 | + | 0.573959i | ||||
\(361\) | −10.9725 | + | 15.5115i | −0.577498 | + | 0.816392i | ||||
\(362\) | −8.83343 | − | 0.280775i | −0.464275 | − | 0.0147572i | ||||
\(363\) | −20.6405 | + | 9.62482i | −1.08334 | + | 0.505172i | ||||
\(364\) | 36.8031 | − | 4.10138i | 1.92901 | − | 0.214971i | ||||
\(365\) | −3.71787 | − | 10.8631i | −0.194602 | − | 0.568600i | ||||
\(366\) | 2.48913 | − | 20.8110i | 0.130109 | − | 1.08781i | ||||
\(367\) | −17.4573 | + | 12.2237i | −0.911263 | + | 0.638073i | −0.932292 | − | 0.361706i | \(-0.882195\pi\) |
0.0210295 | + | 0.999779i | \(0.493306\pi\) | |||||||
\(368\) | 4.20476 | + | 31.0267i | 0.219188 | + | 1.61738i | ||||
\(369\) | −10.5897 | + | 6.11396i | −0.551278 | + | 0.318280i | ||||
\(370\) | −4.73654 | + | 20.6359i | −0.246241 | + | 1.07281i | ||||
\(371\) | −12.0051 | − | 32.9838i | −0.623275 | − | 1.71244i | ||||
\(372\) | 3.59797 | − | 10.6658i | 0.186546 | − | 0.552997i | ||||
\(373\) | 12.3251 | − | 3.30251i | 0.638170 | − | 0.170997i | 0.0747959 | − | 0.997199i | \(-0.476169\pi\) |
0.563375 | + | 0.826202i | \(0.309503\pi\) | |||||||
\(374\) | 2.91892 | − | 1.90859i | 0.150934 | − | 0.0986909i | ||||
\(375\) | 14.5413 | + | 19.5227i | 0.750911 | + | 1.00815i | ||||
\(376\) | −0.0430940 | + | 5.34782i | −0.00222240 | + | 0.275793i | ||||
\(377\) | −28.0371 | − | 19.6318i | −1.44398 | − | 1.01109i | ||||
\(378\) | 6.04643 | − | 15.1014i | 0.310995 | − | 0.776734i | ||||
\(379\) | −7.74944 | −0.398062 | −0.199031 | − | 0.979993i | \(-0.563779\pi\) | ||||
−0.199031 | + | 0.979993i | \(0.563779\pi\) | |||||||
\(380\) | 11.8979 | + | 15.4415i | 0.610352 | + | 0.792131i | ||||
\(381\) | 21.1438 | 1.08323 | ||||||||
\(382\) | 10.6787 | − | 26.6710i | 0.546372 | − | 1.36461i | ||||
\(383\) | 1.05003 | + | 0.735241i | 0.0536542 | + | 0.0375691i | 0.600096 | − | 0.799928i | \(-0.295129\pi\) |
−0.546442 | + | 0.837497i | \(0.684018\pi\) | |||||||
\(384\) | 24.4088 | + | 3.31927i | 1.24561 | + | 0.169386i | ||||
\(385\) | −1.06586 | − | 6.81156i | −0.0543213 | − | 0.347149i | ||||
\(386\) | −11.1303 | + | 7.27777i | −0.566518 | + | 0.370429i | ||||
\(387\) | −17.3287 | + | 4.64320i | −0.880866 | + | 0.236027i | ||||
\(388\) | 2.09457 | + | 0.706575i | 0.106336 | + | 0.0358709i | ||||
\(389\) | −0.857234 | − | 2.35523i | −0.0434635 | − | 0.119415i | 0.916062 | − | 0.401036i | \(-0.131350\pi\) |
−0.959526 | + | 0.281622i | \(0.909128\pi\) | |||||||
\(390\) | −25.7510 | + | 16.1366i | −1.30395 | + | 0.817106i | ||||
\(391\) | −22.7449 | + | 13.1318i | −1.15026 | + | 0.664101i | ||||
\(392\) | −24.4164 | − | 17.3914i | −1.23321 | − | 0.878398i | ||||
\(393\) | 34.1017 | − | 23.8783i | 1.72020 | − | 1.20450i | ||||
\(394\) | 2.20191 | − | 18.4096i | 0.110931 | − | 0.927461i | ||||
\(395\) | 6.84130 | + | 3.35249i | 0.344223 | + | 0.168682i | ||||
\(396\) | 0.283396 | + | 2.54301i | 0.0142412 | + | 0.127791i | ||||
\(397\) | 16.9632 | − | 7.91006i | 0.851357 | − | 0.396994i | 0.0525768 | − | 0.998617i | \(-0.483257\pi\) |
0.798781 | + | 0.601622i | \(0.205479\pi\) | |||||||
\(398\) | 10.9434 | + | 0.347842i | 0.548544 | + | 0.0174358i | ||||
\(399\) | 5.10211 | + | 39.4857i | 0.255425 | + | 1.97676i | ||||
\(400\) | 18.7329 | − | 7.00565i | 0.936644 | − | 0.350283i | ||||
\(401\) | −18.7831 | − | 6.83648i | −0.937982 | − | 0.341398i | −0.172614 | − | 0.984990i | \(-0.555221\pi\) |
−0.765369 | + | 0.643592i | \(0.777443\pi\) | |||||||
\(402\) | −1.86687 | − | 12.9882i | −0.0931109 | − | 0.647792i | ||||
\(403\) | 11.3655 | − | 0.994351i | 0.566155 | − | 0.0495321i | ||||
\(404\) | 4.97987 | − | 3.66596i | 0.247758 | − | 0.182388i | ||||
\(405\) | 1.69930 | + | 24.9685i | 0.0844391 | + | 1.24069i | ||||
\(406\) | 10.4896 | + | 44.7951i | 0.520592 | + | 2.22314i | ||||
\(407\) | −1.27364 | + | 4.75328i | −0.0631319 | + | 0.235611i | ||||
\(408\) | 5.18695 | + | 20.0013i | 0.256792 | + | 0.990210i | ||||
\(409\) | 10.8218 | + | 29.7328i | 0.535106 | + | 1.47019i | 0.852922 | + | 0.522039i | \(0.174828\pi\) |
−0.317816 | + | 0.948152i | \(0.602949\pi\) | |||||||
\(410\) | 14.8852 | + | 16.4895i | 0.735127 | + | 0.814356i | ||||
\(411\) | 21.8177 | + | 12.5965i | 1.07619 | + | 0.621337i | ||||
\(412\) | −11.5924 | − | 19.0222i | −0.571119 | − | 0.937155i | ||||
\(413\) | −24.5893 | − | 2.15128i | −1.20996 | − | 0.105858i | ||||
\(414\) | −1.06873 | − | 19.2396i | −0.0525253 | − | 0.945574i | ||||
\(415\) | −4.96992 | − | 1.91839i | −0.243964 | − | 0.0941700i | ||||
\(416\) | 6.83886 | + | 24.0125i | 0.335302 | + | 1.17731i | ||||
\(417\) | −19.1418 | + | 19.1418i | −0.937378 | + | 0.937378i | ||||
\(418\) | 2.63372 | + | 3.68661i | 0.128819 | + | 0.180318i | ||||
\(419\) | 4.91604 | 0.240164 | 0.120082 | − | 0.992764i | \(-0.461684\pi\) | ||||
0.120082 | + | 0.992764i | \(0.461684\pi\) | |||||||
\(420\) | 40.2585 | + | 6.91601i | 1.96441 | + | 0.337467i | ||||
\(421\) | 4.34038 | + | 24.6155i | 0.211537 | + | 1.19969i | 0.886815 | + | 0.462124i | \(0.152912\pi\) |
−0.675278 | + | 0.737563i | \(0.735976\pi\) | |||||||
\(422\) | 8.93111 | − | 9.98169i | 0.434760 | − | 0.485901i | ||||
\(423\) | 0.286856 | − | 3.27878i | 0.0139474 | − | 0.159420i | ||||
\(424\) | 20.5900 | − | 11.6674i | 0.999936 | − | 0.566620i | ||||
\(425\) | 11.3957 | + | 12.3119i | 0.552771 | + | 0.597212i | ||||
\(426\) | 2.15827 | − | 7.13928i | 0.104569 | − | 0.345899i | ||||
\(427\) | −25.8794 | − | 12.0678i | −1.25239 | − | 0.584000i | ||||
\(428\) | −4.20051 | − | 2.29410i | −0.203039 | − | 0.110890i | ||||
\(429\) | −6.11682 | + | 3.53155i | −0.295323 | + | 0.170505i | ||||
\(430\) | 14.8330 | + | 29.0201i | 0.715310 | + | 1.39947i | ||||
\(431\) | −21.5340 | − | 3.79702i | −1.03725 | − | 0.182896i | −0.371010 | − | 0.928629i | \(-0.620988\pi\) |
−0.666245 | + | 0.745733i | \(0.732100\pi\) | |||||||
\(432\) | 10.7166 | + | 2.33312i | 0.515603 | + | 0.112252i | ||||
\(433\) | −2.27997 | − | 26.0602i | −0.109568 | − | 1.25237i | −0.829571 | − | 0.558401i | \(-0.811415\pi\) |
0.720003 | − | 0.693971i | \(-0.244140\pi\) | |||||||
\(434\) | −12.2763 | − | 9.19074i | −0.589283 | − | 0.441170i | ||||
\(435\) | −23.7055 | − | 29.3854i | −1.13659 | − | 1.40892i | ||||
\(436\) | 1.72218 | − | 27.0632i | 0.0824774 | − | 1.29609i | ||||
\(437\) | −18.2634 | − | 28.8201i | −0.873658 | − | 1.37865i | ||||
\(438\) | 15.8029 | + | 0.502304i | 0.755093 | + | 0.0240010i | ||||
\(439\) | −12.9920 | − | 4.72872i | −0.620076 | − | 0.225689i | 0.0128299 | − | 0.999918i | \(-0.495916\pi\) |
−0.632906 | + | 0.774228i | \(0.718138\pi\) | |||||||
\(440\) | 4.40998 | − | 1.46972i | 0.210237 | − | 0.0700660i | ||||
\(441\) | 14.1325 | + | 11.8586i | 0.672976 | + | 0.564694i | ||||
\(442\) | −16.4628 | + | 12.9454i | −0.783055 | + | 0.615749i | ||||
\(443\) | 21.8012 | + | 31.1353i | 1.03581 | + | 1.47928i | 0.869954 | + | 0.493133i | \(0.164148\pi\) |
0.165852 | + | 0.986151i | \(0.446963\pi\) | |||||||
\(444\) | −24.2728 | − | 16.1520i | −1.15194 | − | 0.766538i | ||||
\(445\) | 4.56877 | − | 4.39561i | 0.216580 | − | 0.208372i | ||||
\(446\) | −1.10933 | + | 2.19415i | −0.0525285 | + | 0.103896i | ||||
\(447\) | 21.9304 | + | 10.2263i | 1.03727 | + | 0.483688i | ||||
\(448\) | 14.6716 | − | 30.1835i | 0.693167 | − | 1.42604i | ||||
\(449\) | −12.6885 | − | 7.32573i | −0.598809 | − | 0.345722i | 0.169764 | − | 0.985485i | \(-0.445699\pi\) |
−0.768573 | + | 0.639762i | \(0.779033\pi\) | |||||||
\(450\) | −11.8337 | + | 3.38574i | −0.557847 | + | 0.159605i | ||||
\(451\) | 3.31876 | + | 3.95514i | 0.156274 | + | 0.186240i | ||||
\(452\) | −0.412783 | − | 17.4014i | −0.0194157 | − | 0.818494i | ||||
\(453\) | 8.87407 | − | 12.6735i | 0.416940 | − | 0.595452i | ||||
\(454\) | 5.22924 | + | 12.2128i | 0.245420 | + | 0.573177i | ||||
\(455\) | 9.94129 | + | 40.1906i | 0.466055 | + | 1.88417i | ||||
\(456\) | −25.6843 | + | 7.80395i | −1.20278 | + | 0.365453i | ||||
\(457\) | −9.42430 | + | 9.42430i | −0.440850 | + | 0.440850i | −0.892298 | − | 0.451447i | \(-0.850908\pi\) |
0.451447 | + | 0.892298i | \(0.350908\pi\) | |||||||
\(458\) | −2.66537 | + | 6.65698i | −0.124545 | + | 0.311060i | ||||
\(459\) | 1.59753 | + | 9.06002i | 0.0745662 | + | 0.422886i | ||||
\(460\) | −33.7730 | + | 9.20903i | −1.57467 | + | 0.429373i | ||||
\(461\) | −17.9103 | + | 15.0285i | −0.834165 | + | 0.699947i | −0.956243 | − | 0.292573i | \(-0.905488\pi\) |
0.122079 | + | 0.992520i | \(0.461044\pi\) | |||||||
\(462\) | 9.29269 | + | 1.94482i | 0.432335 | + | 0.0904814i | ||||
\(463\) | 1.65700 | + | 6.18402i | 0.0770074 | + | 0.287396i | 0.993681 | − | 0.112241i | \(-0.0358029\pi\) |
−0.916674 | + | 0.399637i | \(0.869136\pi\) | |||||||
\(464\) | −28.6127 | + | 11.9794i | −1.32831 | + | 0.556128i | ||||
\(465\) | 12.3492 | + | 2.42430i | 0.572683 | + | 0.112424i | ||||
\(466\) | −8.21523 | − | 4.15351i | −0.380563 | − | 0.192408i | ||||
\(467\) | 2.68367 | − | 10.0156i | 0.124185 | − | 0.463466i | −0.875624 | − | 0.482993i | \(-0.839549\pi\) |
0.999809 | + | 0.0195274i | \(0.00621616\pi\) | |||||||
\(468\) | −3.02631 | − | 15.0646i | −0.139891 | − | 0.696363i | ||||
\(469\) | −17.6052 | − | 3.10428i | −0.812934 | − | 0.143342i | ||||
\(470\) | −5.93374 | + | 0.736233i | −0.273703 | + | 0.0339599i | ||||
\(471\) | 5.90120 | − | 7.03277i | 0.271913 | − | 0.324053i | ||||
\(472\) | −1.31682 | − | 16.5900i | −0.0606116 | − | 0.763615i | ||||
\(473\) | 3.20129 | + | 6.86518i | 0.147195 | + | 0.315661i | ||||
\(474\) | −7.65032 | + | 7.17896i | −0.351391 | + | 0.329741i | ||||
\(475\) | −15.3708 | + | 15.4512i | −0.705259 | + | 0.708949i | ||||
\(476\) | 28.0941 | + | 1.78778i | 1.28769 | + | 0.0819426i | ||||
\(477\) | −13.2000 | + | 6.15528i | −0.604389 | + | 0.281831i | ||||
\(478\) | −1.76086 | − | 12.2507i | −0.0805400 | − | 0.560333i | ||||
\(479\) | −0.105633 | − | 0.0886370i | −0.00482652 | − | 0.00404993i | 0.640371 | − | 0.768066i | \(-0.278781\pi\) |
−0.645198 | + | 0.764016i | \(0.723225\pi\) | |||||||
\(480\) | −0.100649 | + | 27.5409i | −0.00459400 | + | 1.25706i | ||||
\(481\) | 5.13146 | − | 29.1019i | 0.233974 | − | 1.32693i | ||||
\(482\) | 17.5177 | − | 28.2306i | 0.797910 | − | 1.28587i | ||||
\(483\) | −69.0605 | − | 18.5047i | −3.14236 | − | 0.841993i | ||||
\(484\) | −20.0727 | + | 5.89206i | −0.912396 | + | 0.267821i | ||||
\(485\) | −0.476087 | + | 2.42516i | −0.0216180 | + | 0.110121i | ||||
\(486\) | −21.8528 | − | 6.60630i | −0.991262 | − | 0.299668i | ||||
\(487\) | −21.0712 | + | 5.64602i | −0.954829 | + | 0.255846i | −0.702410 | − | 0.711772i | \(-0.747893\pi\) |
−0.252419 | + | 0.967618i | \(0.581226\pi\) | |||||||
\(488\) | 5.13259 | − | 18.5557i | 0.232341 | − | 0.839976i | ||||
\(489\) | 14.9442 | + | 17.8098i | 0.675800 | + | 0.805387i | ||||
\(490\) | 15.6968 | − | 29.6122i | 0.709110 | − | 1.33774i | ||||
\(491\) | 19.0722 | − | 3.36295i | 0.860717 | − | 0.151768i | 0.274169 | − | 0.961682i | \(-0.411597\pi\) |
0.586549 | + | 0.809914i | \(0.300486\pi\) | |||||||
\(492\) | −28.4892 | + | 11.1412i | −1.28439 | + | 0.502284i | ||||
\(493\) | −18.3984 | − | 18.3984i | −0.828623 | − | 0.828623i | ||||
\(494\) | −17.6851 | − | 20.6758i | −0.795689 | − | 0.930248i | ||||
\(495\) | −2.77708 | + | 0.686920i | −0.124820 | + | 0.0308748i | ||||
\(496\) | 4.73943 | − | 9.18946i | 0.212807 | − | 0.412619i | ||||
\(497\) | −8.32359 | − | 5.82824i | −0.373364 | − | 0.261432i | ||||
\(498\) | 4.89165 | − | 5.46706i | 0.219200 | − | 0.244985i | ||||
\(499\) | 24.8191 | − | 20.8257i | 1.11106 | − | 0.932288i | 0.112939 | − | 0.993602i | \(-0.463974\pi\) |
0.998119 | + | 0.0613142i | \(0.0195292\pi\) | |||||||
\(500\) | 10.5112 | + | 19.7361i | 0.470075 | + | 0.882626i | ||||
\(501\) | 7.31872 | − | 12.6764i | 0.326976 | − | 0.566339i | ||||
\(502\) | 22.7051 | − | 12.1639i | 1.01338 | − | 0.542900i | ||||
\(503\) | 10.6427 | − | 22.8234i | 0.474535 | − | 1.01764i | −0.512729 | − | 0.858551i | \(-0.671365\pi\) |
0.987264 | − | 0.159093i | \(-0.0508568\pi\) | |||||||
\(504\) | −10.4708 | + | 17.8031i | −0.466406 | + | 0.793013i | ||||
\(505\) | 4.79333 | + | 4.98215i | 0.213301 | + | 0.221703i | ||||
\(506\) | −7.92186 | + | 1.85506i | −0.352170 | + | 0.0824673i | ||||
\(507\) | 11.5579 | − | 8.09294i | 0.513305 | − | 0.359420i | ||||
\(508\) | 19.2015 | + | 2.91805i | 0.851927 | + | 0.129467i | ||||
\(509\) | 6.23859 | − | 7.43486i | 0.276521 | − | 0.329544i | −0.609853 | − | 0.792514i | \(-0.708772\pi\) |
0.886374 | + | 0.462970i | \(0.153216\pi\) | |||||||
\(510\) | −21.4086 | + | 8.68132i | −0.947988 | + | 0.384415i | ||||
\(511\) | 7.36732 | − | 20.2416i | 0.325911 | − | 0.895434i | ||||
\(512\) | 21.7085 | + | 6.38301i | 0.959387 | + | 0.282092i | ||||
\(513\) | −11.6746 | + | 2.55884i | −0.515445 | + | 0.112975i | ||||
\(514\) | −23.6859 | + | 22.2265i | −1.04474 | + | 0.980370i | ||||
\(515\) | 19.3843 | − | 15.6375i | 0.854176 | − | 0.689072i | ||||
\(516\) | −44.6036 | + | 4.97068i | −1.96357 | + | 0.218822i | ||||
\(517\) | −1.38442 | + | 0.121121i | −0.0608866 | + | 0.00532688i | ||||
\(518\) | −31.2242 | + | 24.5529i | −1.37191 | + | 1.07879i | ||||
\(519\) | 9.43309 | − | 53.4977i | 0.414067 | − | 2.34829i | ||||
\(520\) | −25.6124 | + | 11.1003i | −1.12318 | + | 0.486781i | ||||
\(521\) | 9.94072 | + | 17.2178i | 0.435511 | + | 0.754327i | 0.997337 | − | 0.0729284i | \(-0.0232345\pi\) |
−0.561826 | + | 0.827255i | \(0.689901\pi\) | |||||||
\(522\) | 18.1372 | − | 5.95599i | 0.793842 | − | 0.260686i | ||||
\(523\) | 10.6909 | − | 22.9267i | 0.467481 | − | 1.00252i | −0.521331 | − | 0.853354i | \(-0.674564\pi\) |
0.988813 | − | 0.149162i | \(-0.0476577\pi\) | |||||||
\(524\) | 34.2645 | − | 16.9784i | 1.49685 | − | 0.741704i | ||||
\(525\) | −1.76362 | + | 45.6356i | −0.0769707 | + | 1.99170i | ||||
\(526\) | 5.48420 | + | 8.38731i | 0.239123 | + | 0.365704i | ||||
\(527\) | 8.64003 | + | 0.755904i | 0.376365 | + | 0.0329277i | ||||
\(528\) | −0.254909 | + | 6.39607i | −0.0110935 | + | 0.278353i | ||||
\(529\) | 37.6896 | − | 6.64570i | 1.63868 | − | 0.288943i | ||||
\(530\) | 15.9505 | + | 21.1110i | 0.692843 | + | 0.917005i | ||||
\(531\) | 10.2420i | 0.444467i | ||||||||
\(532\) | −0.815991 | + | 36.5625i | −0.0353777 | + | 1.58519i | ||||
\(533\) | −21.9237 | − | 21.9237i | −0.949620 | − | 0.949620i | ||||
\(534\) | 3.43641 | + | 8.02571i | 0.148708 | + | 0.347306i | ||||
\(535\) | 1.92694 | − | 4.99208i | 0.0833089 | − | 0.215826i | ||||
\(536\) | 0.0971235 | − | 12.0527i | 0.00419510 | − | 0.520597i | ||||
\(537\) | −0.746338 | + | 8.53068i | −0.0322068 | + | 0.368126i | ||||
\(538\) | −23.0129 | − | 4.81628i | −0.992159 | − | 0.207644i | ||||
\(539\) | 3.89484 | − | 6.74606i | 0.167763 | − | 0.290573i | ||||
\(540\) | −1.01492 | + | 12.2201i | −0.0436751 | + | 0.525870i | ||||
\(541\) | 22.0102 | − | 8.01107i | 0.946294 | − | 0.344423i | 0.177646 | − | 0.984095i | \(-0.443152\pi\) |
0.768648 | + | 0.639672i | \(0.220930\pi\) | |||||||
\(542\) | 1.88760 | + | 5.74813i | 0.0810795 | + | 0.246903i | ||||
\(543\) | 13.1431 | + | 3.52169i | 0.564025 | + | 0.151130i | ||||
\(544\) | 1.95009 | + | 18.8797i | 0.0836094 | + | 0.809461i | ||||
\(545\) | 30.2488 | − | 2.05868i | 1.29572 | − | 0.0881840i | ||||
\(546\) | −56.6091 | − | 6.77084i | −2.42265 | − | 0.289765i | ||||
\(547\) | 0.797963 | + | 9.12076i | 0.0341184 | + | 0.389975i | 0.993985 | + | 0.109518i | \(0.0349306\pi\) |
−0.959866 | + | 0.280458i | \(0.909514\pi\) | |||||||
\(548\) | 18.0750 | + | 14.4504i | 0.772126 | + | 0.617288i | ||||
\(549\) | −4.05242 | + | 11.1339i | −0.172953 | + | 0.475185i | ||||
\(550\) | 2.27551 | + | 4.67247i | 0.0970283 | + | 0.199235i | ||||
\(551\) | 22.8962 | − | 24.8669i | 0.975413 | − | 1.05937i | ||||
\(552\) | 4.58818 | − | 47.9863i | 0.195286 | − | 2.04243i | ||||
\(553\) | 6.04052 | + | 12.9539i | 0.256869 | + | 0.550857i | ||||
\(554\) | 8.20114 | + | 6.13983i | 0.348433 | + | 0.260856i | ||||
\(555\) | 14.3441 | − | 29.2714i | 0.608872 | − | 1.24250i | ||||
\(556\) | −20.0251 | + | 14.7416i | −0.849254 | + | 0.625184i | ||||
\(557\) | 4.72272 | + | 6.74474i | 0.200108 | + | 0.285784i | 0.906647 | − | 0.421891i | \(-0.138633\pi\) |
−0.706539 | + | 0.707674i | \(0.749744\pi\) | |||||||
\(558\) | −3.35512 | + | 5.40692i | −0.142034 | + | 0.228893i | ||||
\(559\) | −22.7440 | − | 39.3938i | −0.961970 | − | 1.66618i | ||||
\(560\) | 35.6057 | + | 11.8367i | 1.50462 | + | 0.500194i | ||||
\(561\) | −5.04555 | + | 1.83643i | −0.213023 | + | 0.0775341i | ||||
\(562\) | 3.72229 | + | 6.94804i | 0.157015 | + | 0.293085i | ||||
\(563\) | −1.68491 | − | 6.28819i | −0.0710107 | − | 0.265016i | 0.921288 | − | 0.388880i | \(-0.127138\pi\) |
−0.992299 | + | 0.123864i | \(0.960471\pi\) | |||||||
\(564\) | 1.94184 | − | 8.00147i | 0.0817662 | − | 0.336923i | ||||
\(565\) | 19.2269 | − | 3.00859i | 0.808882 | − | 0.126572i | ||||
\(566\) | −9.34078 | + | 0.518868i | −0.392622 | + | 0.0218096i | ||||
\(567\) | −26.9302 | + | 38.4603i | −1.13096 | + | 1.61518i | ||||
\(568\) | 2.94529 | − | 6.18558i | 0.123582 | − | 0.259541i | ||||
\(569\) | 37.4721i | 1.57091i | 0.618918 | + | 0.785455i | \(0.287571\pi\) | ||||
−0.618918 | + | 0.785455i | \(0.712429\pi\) | |||||||
\(570\) | −12.4151 | − | 27.3239i | −0.520011 | − | 1.14447i | ||||
\(571\) | 7.53775i | 0.315445i | 0.987483 | + | 0.157723i | \(0.0504152\pi\) | ||||
−0.987483 | + | 0.157723i | \(0.949585\pi\) | |||||||
\(572\) | −6.04230 | + | 2.36295i | −0.252641 | + | 0.0987999i | ||||
\(573\) | −25.3702 | + | 36.2324i | −1.05985 | + | 1.51363i | ||||
\(574\) | 2.31147 | + | 41.6116i | 0.0964788 | + | 1.73683i | ||||
\(575\) | −15.1583 | − | 36.0833i | −0.632144 | − | 1.50478i | ||||
\(576\) | −13.0073 | − | 4.97308i | −0.541970 | − | 0.207212i | ||||
\(577\) | 1.42168 | + | 5.30580i | 0.0591855 | + | 0.220883i | 0.989184 | − | 0.146680i | \(-0.0468588\pi\) |
−0.929998 | + | 0.367563i | \(0.880192\pi\) | |||||||
\(578\) | 7.15829 | − | 3.83493i | 0.297746 | − | 0.159512i | ||||
\(579\) | 19.2395 | − | 7.00261i | 0.799567 | − | 0.291018i | ||||
\(580\) | −17.4723 | − | 29.9576i | −0.725500 | − | 1.24392i | ||||
\(581\) | −4.99725 | − | 8.65550i | −0.207321 | − | 0.359090i | ||||
\(582\) | −2.89182 | − | 1.79444i | −0.119870 | − | 0.0743819i | ||||
\(583\) | 3.52733 | + | 5.03755i | 0.146087 | + | 0.208634i | ||||
\(584\) | 14.2819 | + | 2.63712i | 0.590989 | + | 0.109125i | ||||
\(585\) | 16.2537 | − | 5.56280i | 0.672007 | − | 0.229993i | ||||
\(586\) | 24.9270 | − | 33.2956i | 1.02972 | − | 1.37543i | ||||
\(587\) | 17.0818 | + | 36.6320i | 0.705041 | + | 1.51196i | 0.852405 | + | 0.522882i | \(0.175143\pi\) |
−0.147364 | + | 0.989082i | \(0.547079\pi\) | |||||||
\(588\) | 30.4962 | + | 34.6413i | 1.25764 | + | 1.42858i | ||||
\(589\) | −0.518463 | + | 11.2554i | −0.0213629 | + | 0.463772i | ||||
\(590\) | 18.1950 | − | 3.89165i | 0.749075 | − | 0.160217i | ||||
\(591\) | −9.76306 | + | 26.8238i | −0.401598 | + | 1.10338i | ||||
\(592\) | −19.8139 | − | 18.0181i | −0.814347 | − | 0.740538i | ||||
\(593\) | 0.200240 | + | 2.28875i | 0.00822286 | + | 0.0939877i | 0.999197 | − | 0.0400649i | \(-0.0127565\pi\) |
−0.990974 | + | 0.134053i | \(0.957201\pi\) | |||||||
\(594\) | −0.338467 | + | 2.82983i | −0.0138875 | + | 0.116109i | ||||
\(595\) | 2.13709 | + | 31.4010i | 0.0876122 | + | 1.28732i | ||||
\(596\) | 18.5045 | + | 12.3135i | 0.757973 | + | 0.504380i | ||||
\(597\) | −16.2825 | − | 4.36289i | −0.666399 | − | 0.178561i | ||||
\(598\) | 46.4197 | − | 15.2436i | 1.89824 | − | 0.623356i | ||||
\(599\) | −30.5487 | + | 11.1188i | −1.24819 | + | 0.454302i | −0.879788 | − | 0.475366i | \(-0.842316\pi\) |
−0.368397 | + | 0.929668i | \(0.620093\pi\) | |||||||
\(600\) | −30.5405 | + | 3.92597i | −1.24681 | + | 0.160277i | ||||
\(601\) | −4.90533 | + | 8.49628i | −0.200093 | + | 0.346571i | −0.948558 | − | 0.316603i | \(-0.897458\pi\) |
0.748465 | + | 0.663174i | \(0.230791\pi\) | |||||||
\(602\) | −12.5251 | + | 59.8471i | −0.510486 | + | 2.43919i | ||||
\(603\) | −0.646504 | + | 7.38957i | −0.0263277 | + | 0.300927i | ||||
\(604\) | 9.80793 | − | 10.2846i | 0.399079 | − | 0.418472i | ||||
\(605\) | −9.47334 | − | 21.3844i | −0.385146 | − | 0.869400i | ||||
\(606\) | −8.75189 | + | 3.74735i | −0.355521 | + | 0.152225i | ||||
\(607\) | −10.2565 | − | 10.2565i | −0.416297 | − | 0.416297i | 0.467628 | − | 0.883925i | \(-0.345109\pi\) |
−0.883925 | + | 0.467628i | \(0.845109\pi\) | |||||||
\(608\) | −24.4019 | + | 3.54237i | −0.989627 | + | 0.143662i | ||||
\(609\) | − | 70.8319i | − | 2.87025i | ||||||
\(610\) | 21.3192 | + | 2.96857i | 0.863189 | + | 0.120194i | ||||
\(611\) | 8.21854 | − | 1.44915i | 0.332487 | − | 0.0586264i | ||||
\(612\) | −0.277008 | − | 11.6776i | −0.0111974 | − | 0.472040i | ||||
\(613\) | 44.7677 | + | 3.91667i | 1.80815 | + | 0.158193i | 0.940680 | − | 0.339296i | \(-0.110189\pi\) |
0.867470 | + | 0.497489i | \(0.165744\pi\) | |||||||
\(614\) | −21.1601 | + | 13.8360i | −0.853953 | + | 0.558374i | ||||
\(615\) | −16.5252 | − | 29.9435i | −0.666362 | − | 1.20744i | ||||
\(616\) | 8.17062 | + | 3.04865i | 0.329204 | + | 0.122833i | ||||
\(617\) | 7.89633 | − | 16.9337i | 0.317894 | − | 0.681727i | −0.680818 | − | 0.732452i | \(-0.738376\pi\) |
0.998713 | + | 0.0507257i | \(0.0161534\pi\) | |||||||
\(618\) | 10.7002 | + | 32.5843i | 0.430426 | + | 1.31073i | ||||
\(619\) | 7.34363 | + | 12.7195i | 0.295165 | + | 0.511241i | 0.975023 | − | 0.222102i | \(-0.0712920\pi\) |
−0.679858 | + | 0.733344i | \(0.737959\pi\) | |||||||
\(620\) | 10.8802 | + | 3.90591i | 0.436960 | + | 0.156865i | ||||
\(621\) | 3.72693 | − | 21.1364i | 0.149556 | − | 0.848176i | ||||
\(622\) | 17.3242 | + | 22.0314i | 0.694637 | + | 0.883378i | ||||
\(623\) | 11.8490 | − | 1.03666i | 0.474721 | − | 0.0415327i | ||||
\(624\) | −1.82264 | − | 38.3963i | −0.0729640 | − | 1.53708i | ||||
\(625\) | −20.3342 | + | 14.5438i | −0.813368 | + | 0.581750i | ||||
\(626\) | −31.0501 | − | 33.0888i | −1.24101 | − | 1.32249i | ||||
\(627\) | −2.65394 | − | 6.45089i | −0.105988 | − | 0.257624i | ||||
\(628\) | 6.32968 | − | 5.57230i | 0.252582 | − | 0.222359i | ||||
\(629\) | 7.68333 | − | 21.1098i | 0.306354 | − | 0.841702i | ||||
\(630\) | −21.2676 | − | 8.99568i | −0.847323 | − | 0.358396i | ||||
\(631\) | −6.37634 | + | 7.59902i | −0.253838 | + | 0.302512i | −0.877882 | − | 0.478877i | \(-0.841044\pi\) |
0.624044 | + | 0.781389i | \(0.285489\pi\) | |||||||
\(632\) | −7.93830 | + | 5.46366i | −0.315769 | + | 0.217333i | ||||
\(633\) | −16.8920 | + | 11.8279i | −0.671396 | + | 0.470116i | ||||
\(634\) | 0.682425 | + | 2.91424i | 0.0271025 | + | 0.115739i | ||||
\(635\) | −0.419348 | + | 21.7103i | −0.0166413 | + | 0.861548i | ||||
\(636\) | −34.9608 | + | 10.2623i | −1.38629 | + | 0.406925i | ||||
\(637\) | −19.7692 | + | 42.3952i | −0.783284 | + | 1.67976i | ||||
\(638\) | −3.80645 | − | 7.10512i | −0.150699 | − | 0.281294i | ||||
\(639\) | −2.10815 | + | 3.65141i | −0.0833969 | + | 0.144448i | ||||
\(640\) | −3.89231 | + | 24.9970i | −0.153857 | + | 0.988093i | ||||
\(641\) | −1.53016 | + | 1.28396i | −0.0604379 | + | 0.0507134i | −0.672506 | − | 0.740091i | \(-0.734782\pi\) |
0.612068 | + | 0.790805i | \(0.290338\pi\) | |||||||
\(642\) | 5.49143 | + | 4.91346i | 0.216730 | + | 0.193919i | ||||
\(643\) | −38.0005 | − | 26.6082i | −1.49859 | − | 1.04933i | −0.981069 | − | 0.193657i | \(-0.937965\pi\) |
−0.517524 | − | 0.855669i | \(-0.673146\pi\) | |||||||
\(644\) | −60.1625 | − | 26.3358i | −2.37074 | − | 1.03778i | ||||
\(645\) | −12.0484 | − | 48.7091i | −0.474404 | − | 1.91792i | ||||
\(646\) | −10.5106 | − | 17.8135i | −0.413533 | − | 0.700863i | ||||
\(647\) | 8.45933 | + | 8.45933i | 0.332571 | + | 0.332571i | 0.853562 | − | 0.520991i | \(-0.174438\pi\) |
−0.520991 | + | 0.853562i | \(0.674438\pi\) | |||||||
\(648\) | −28.5813 | − | 13.6091i | −1.12278 | − | 0.534617i | ||||
\(649\) | 4.25885 | − | 0.750951i | 0.167175 | − | 0.0294774i | ||||
\(650\) | −16.0582 | − | 26.7610i | −0.629854 | − | 1.04965i | ||||
\(651\) | 15.1765 | + | 18.0866i | 0.594814 | + | 0.708872i | ||||
\(652\) | 11.1134 | + | 18.2362i | 0.435236 | + | 0.714183i | ||||
\(653\) | 13.0943 | − | 3.50860i | 0.512419 | − | 0.137302i | 0.00666129 | − | 0.999978i | \(-0.497880\pi\) |
0.505758 | + | 0.862676i | \(0.331213\pi\) | |||||||
\(654\) | −12.0816 | + | 39.9644i | −0.472428 | + | 1.56273i | ||||
\(655\) | 23.8417 | + | 35.4890i | 0.931573 | + | 1.38667i | ||||
\(656\) | −27.4096 | + | 6.18595i | −1.07017 | + | 0.241521i | ||||
\(657\) | −8.63349 | − | 2.31334i | −0.336825 | − | 0.0902519i | ||||
\(658\) | −9.53159 | − | 5.91457i | −0.371580 | − | 0.230574i | ||||
\(659\) | −2.39148 | + | 13.5628i | −0.0931589 | + | 0.528331i | 0.902137 | + | 0.431450i | \(0.141998\pi\) |
−0.995296 | + | 0.0968810i | \(0.969113\pi\) | |||||||
\(660\) | −7.12665 | + | 0.655136i | −0.277404 | + | 0.0255011i | ||||
\(661\) | 7.08365 | + | 5.94389i | 0.275522 | + | 0.231190i | 0.770069 | − | 0.637960i | \(-0.220222\pi\) |
−0.494547 | + | 0.869151i | \(0.664666\pi\) | |||||||
\(662\) | −11.8598 | + | 1.70468i | −0.460946 | + | 0.0662544i | ||||
\(663\) | 29.2226 | − | 13.6267i | 1.13491 | − | 0.529218i | ||||
\(664\) | 5.19679 | − | 4.28974i | 0.201675 | − | 0.166474i | ||||
\(665\) | −40.6448 | + | 4.45569i | −1.57614 | + | 0.172784i | ||||
\(666\) | 11.2784 | + | 12.0189i | 0.437029 | + | 0.465723i | ||||
\(667\) | 25.6535 | + | 55.0141i | 0.993307 | + | 2.13015i | ||||
\(668\) | 8.39586 | − | 10.5018i | 0.324846 | − | 0.406328i | ||||
\(669\) | 2.43315 | − | 2.89971i | 0.0940709 | − | 0.112109i | ||||
\(670\) | 13.3732 | − | 1.65929i | 0.516652 | − | 0.0641040i | ||||
\(671\) | 4.92685 | + | 0.868736i | 0.190199 | + | 0.0335372i | ||||
\(672\) | −32.5886 | + | 40.0962i | −1.25713 | + | 1.54675i | ||||
\(673\) | 4.04925 | − | 15.1120i | 0.156087 | − | 0.582526i | −0.842923 | − | 0.538035i | \(-0.819167\pi\) |
0.999010 | − | 0.0444906i | \(-0.0141665\pi\) | |||||||
\(674\) | 10.4844 | − | 20.7372i | 0.403846 | − | 0.798766i | ||||
\(675\) | −13.6933 | + | 0.666569i | −0.527056 | + | 0.0256563i | ||||
\(676\) | 11.6131 | − | 5.75439i | 0.446656 | − | 0.221323i | ||||
\(677\) | −9.73875 | − | 36.3455i | −0.374291 | − | 1.39687i | −0.854378 | − | 0.519651i | \(-0.826062\pi\) |
0.480088 | − | 0.877221i | \(-0.340605\pi\) | |||||||
\(678\) | −5.48963 | + | 26.2304i | −0.210828 | + | 1.00737i | ||||
\(679\) | −3.55188 | + | 2.98039i | −0.136309 | + | 0.114377i | ||||
\(680\) | −20.6400 | + | 4.92923i | −0.791509 | + | 0.189027i | ||||
\(681\) | −3.55178 | − | 20.1432i | −0.136105 | − | 0.771887i | ||||
\(682\) | 2.49431 | + | 0.998692i | 0.0955121 | + | 0.0382419i | ||||
\(683\) | −9.06027 | + | 9.06027i | −0.346682 | + | 0.346682i | −0.858872 | − | 0.512190i | \(-0.828834\pi\) |
0.512190 | + | 0.858872i | \(0.328834\pi\) | |||||||
\(684\) | 15.1430 | − | 0.984961i | 0.579007 | − | 0.0376609i | ||||
\(685\) | −13.3667 | + | 22.1524i | −0.510714 | + | 0.846401i | ||||
\(686\) | 19.6253 | − | 8.40307i | 0.749297 | − | 0.320831i | ||||
\(687\) | 6.33230 | − | 9.04346i | 0.241592 | − | 0.345029i | ||||
\(688\) | −41.1922 | − | 1.64167i | −1.57044 | − | 0.0625882i | ||||
\(689\) | −23.7379 | − | 28.2898i | −0.904344 | − | 1.07775i | ||||
\(690\) | 53.8597 | − | 1.94941i | 2.05041 | − | 0.0742127i | ||||
\(691\) | 18.1492 | + | 10.4785i | 0.690429 | + | 0.398619i | 0.803773 | − | 0.594937i | \(-0.202823\pi\) |
−0.113344 | + | 0.993556i | \(0.536156\pi\) | |||||||
\(692\) | 15.9497 | − | 47.2814i | 0.606318 | − | 1.79737i | ||||
\(693\) | −4.86420 | − | 2.26822i | −0.184776 | − | 0.0861624i | ||||
\(694\) | −16.1769 | − | 8.17883i | −0.614067 | − | 0.310464i | ||||
\(695\) | −19.2750 | − | 20.0343i | −0.731144 | − | 0.759945i | ||||
\(696\) | 47.0967 | − | 7.91366i | 1.78520 | − | 0.299966i | ||||
\(697\) | −13.5191 | − | 19.3072i | −0.512072 | − | 0.731314i | ||||
\(698\) | 26.1943 | + | 33.3116i | 0.991470 | + | 1.26086i | ||||
\(699\) | 10.8570 | + | 9.11007i | 0.410648 | + | 0.344575i | ||||
\(700\) | −7.89977 | + | 41.2000i | −0.298583 | + | 1.55721i | ||||
\(701\) | 21.1527 | + | 7.69896i | 0.798927 | + | 0.290786i | 0.709042 | − | 0.705166i | \(-0.249128\pi\) |
0.0898855 | + | 0.995952i | \(0.471350\pi\) | |||||||
\(702\) | 0.543721 | − | 17.1059i | 0.0205214 | − | 0.645621i | ||||
\(703\) | 27.8125 | + | 8.84260i | 1.04897 | + | 0.333505i | ||||
\(704\) | −1.11421 | + | 5.77332i | −0.0419934 | + | 0.217590i | ||||
\(705\) | 9.15335 | + | 0.979272i | 0.344735 | + | 0.0368815i | ||||
\(706\) | 26.8794 | − | 35.9036i | 1.01162 | − | 1.35125i | ||||
\(707\) | 1.13045 | + | 12.9211i | 0.0425151 | + | 0.485950i | ||||
\(708\) | −3.84960 | + | 25.3313i | −0.144677 | + | 0.952008i | ||||
\(709\) | −22.8469 | − | 4.02852i | −0.858032 | − | 0.151294i | −0.272711 | − | 0.962096i | \(-0.587920\pi\) |
−0.585321 | + | 0.810802i | \(0.699032\pi\) | |||||||
\(710\) | 7.28776 | + | 2.35769i | 0.273505 | + | 0.0884827i | ||||
\(711\) | 5.13619 | − | 2.96538i | 0.192622 | − | 0.111210i | ||||
\(712\) | 2.01311 | + | 7.76270i | 0.0754444 | + | 0.290919i | ||||
\(713\) | −18.3379 | − | 8.55110i | −0.686759 | − | 0.320241i | ||||
\(714\) | −41.4866 | − | 12.5418i | −1.55260 | − | 0.469365i | ||||
\(715\) | −3.50486 | − | 6.35076i | −0.131074 | − | 0.237505i | ||||
\(716\) | −1.85509 | + | 7.64402i | −0.0693280 | + | 0.285670i | ||||
\(717\) | −1.66074 | + | 18.9824i | −0.0620217 | + | 0.708911i | ||||
\(718\) | −12.4970 | − | 11.1817i | −0.466386 | − | 0.417298i | ||||
\(719\) | −2.58088 | − | 14.6369i | −0.0962504 | − | 0.545863i | −0.994357 | − | 0.106085i | \(-0.966168\pi\) |
0.898107 | − | 0.439778i | \(-0.144943\pi\) | |||||||
\(720\) | 3.60518 | − | 15.1461i | 0.134357 | − | 0.564461i | ||||
\(721\) | 46.7249 | 1.74012 | ||||||||
\(722\) | 22.5594 | − | 14.5970i | 0.839575 | − | 0.543243i | ||||
\(723\) | −36.1695 | + | 36.1695i | −1.34516 | + | 1.34516i | ||||
\(724\) | 11.4497 | + | 5.01205i | 0.425525 | + | 0.186271i | ||||
\(725\) | 30.6429 | − | 23.7578i | 1.13805 | − | 0.882344i | ||||
\(726\) | 32.1581 | − | 1.78634i | 1.19350 | − | 0.0662972i | ||||
\(727\) | −47.2506 | − | 4.13389i | −1.75243 | − | 0.153318i | −0.834747 | − | 0.550634i | \(-0.814386\pi\) |
−0.917682 | + | 0.397316i | \(0.869942\pi\) | |||||||
\(728\) | −50.4744 | − | 13.9614i | −1.87070 | − | 0.517446i | ||||
\(729\) | 1.36136 | + | 0.785983i | 0.0504208 | + | 0.0291105i | ||||
\(730\) | −0.829185 | + | 16.2164i | −0.0306895 | + | 0.600195i | ||||
\(731\) | −11.8270 | − | 32.4945i | −0.437439 | − | 1.20185i | ||||
\(732\) | −14.2075 | + | 26.0140i | −0.525126 | + | 0.961507i | ||||
\(733\) | −7.10733 | + | 26.5249i | −0.262515 | + | 0.979720i | 0.701238 | + | 0.712927i | \(0.252631\pi\) |
−0.963754 | + | 0.266794i | \(0.914036\pi\) | |||||||
\(734\) | 29.3451 | − | 6.87171i | 1.08315 | − | 0.253639i | ||||
\(735\) | −33.9249 | + | 38.8799i | −1.25134 | + | 1.43411i | ||||
\(736\) | 10.7893 | − | 42.9449i | 0.397698 | − | 1.58297i | ||||
\(737\) | 3.12014 | − | 0.272977i | 0.114932 | − | 0.0100552i | ||||
\(738\) | 17.1170 | − | 2.46032i | 0.630085 | − | 0.0905658i | ||||
\(739\) | 21.9164 | + | 7.97691i | 0.806207 | + | 0.293435i | 0.712056 | − | 0.702122i | \(-0.247764\pi\) |
0.0941511 | + | 0.995558i | \(0.469986\pi\) | |||||||
\(740\) | 17.0661 | − | 24.6028i | 0.627363 | − | 0.904418i | ||||
\(741\) | 19.2528 | + | 37.2019i | 0.707271 | + | 1.36664i | ||||
\(742\) | −1.57703 | + | 49.6148i | −0.0578947 | + | 1.82142i | ||||
\(743\) | 11.2895 | − | 5.26438i | 0.414171 | − | 0.193131i | −0.204352 | − | 0.978897i | \(-0.565509\pi\) |
0.618524 | + | 0.785766i | \(0.287731\pi\) | |||||||
\(744\) | −10.3304 | + | 12.1117i | −0.378730 | + | 0.444036i | ||||
\(745\) | −10.9353 | + | 22.3152i | −0.400637 | + | 0.817565i | ||||
\(746\) | −17.9175 | − | 2.14306i | −0.656007 | − | 0.0784629i | ||||
\(747\) | −3.39712 | + | 2.37869i | −0.124294 | + | 0.0870316i | ||||
\(748\) | −4.83549 | + | 0.971395i | −0.176803 | + | 0.0355177i | ||||
\(749\) | 8.69408 | − | 5.01953i | 0.317675 | − | 0.183410i | ||||
\(750\) | −8.82876 | − | 33.2750i | −0.322381 | − | 1.21503i | ||||
\(751\) | 16.7952 | + | 46.1443i | 0.612864 | + | 1.68383i | 0.723806 | + | 0.690004i | \(0.242391\pi\) |
−0.110942 | + | 0.993827i | \(0.535387\pi\) | |||||||
\(752\) | 2.86774 | − | 6.99844i | 0.104576 | − | 0.255207i | ||||
\(753\) | −38.3058 | + | 10.2640i | −1.39594 | + | 0.374041i | ||||
\(754\) | 26.4898 | + | 40.5124i | 0.964703 | + | 1.47538i | ||||
\(755\) | 12.8371 | + | 9.36320i | 0.467188 | + | 0.340762i | ||||
\(756\) | −15.8766 | + | 16.6481i | −0.577426 | + | 0.605486i | ||||
\(757\) | 41.6411 | + | 29.1574i | 1.51347 | + | 1.05975i | 0.976338 | + | 0.216249i | \(0.0693823\pi\) |
0.537135 | + | 0.843496i | \(0.319507\pi\) | |||||||
\(758\) | 10.1741 | + | 4.07360i | 0.369542 | + | 0.147960i | ||||
\(759\) | 12.5264 | 0.454679 | ||||||||
\(760\) | −7.50364 | − | 26.5273i | −0.272186 | − | 0.962245i | ||||
\(761\) | −8.74427 | −0.316980 | −0.158490 | − | 0.987361i | \(-0.550662\pi\) | ||||
−0.158490 | + | 0.987361i | \(0.550662\pi\) | |||||||
\(762\) | −27.7594 | − | 11.1145i | −1.00562 | − | 0.402638i | ||||
\(763\) | 46.5939 | + | 32.6254i | 1.68681 | + | 1.18112i | ||||
\(764\) | −28.0400 | + | 29.4026i | −1.01445 | + | 1.06375i | ||||
\(765\) | 12.9027 | − | 2.01899i | 0.466496 | − | 0.0729966i | ||||
\(766\) | −0.992087 | − | 1.51726i | −0.0358455 | − | 0.0548207i | ||||
\(767\) | −25.0845 | + | 6.72138i | −0.905750 | + | 0.242695i | ||||
\(768\) | −30.3013 | − | 17.1887i | −1.09340 | − | 0.620244i | ||||
\(769\) | −1.74290 | − | 4.78858i | −0.0628506 | − | 0.172681i | 0.904292 | − | 0.426914i | \(-0.140399\pi\) |
−0.967143 | + | 0.254233i | \(0.918177\pi\) | |||||||
\(770\) | −2.18124 | + | 9.50310i | −0.0786063 | + | 0.342468i | ||||
\(771\) | 43.3083 | − | 25.0040i | 1.55971 | − | 0.900499i | ||||
\(772\) | 18.4385 | − | 3.70409i | 0.663617 | − | 0.133313i | ||||
\(773\) | −10.5454 | + | 7.38395i | −0.379291 | + | 0.265582i | −0.747639 | − | 0.664106i | \(-0.768812\pi\) |
0.368348 | + | 0.929688i | \(0.379924\pi\) | |||||||
\(774\) | 25.1914 | + | 3.01306i | 0.905486 | + | 0.108302i | ||||
\(775\) | −2.73418 | + | 12.6320i | −0.0982145 | + | 0.453757i | ||||
\(776\) | −2.37851 | − | 2.02869i | −0.0853837 | − | 0.0728259i | ||||
\(777\) | 55.4251 | − | 25.8452i | 1.98837 | − | 0.927190i | ||||
\(778\) | −0.112609 | + | 3.54277i | −0.00403723 | + | 0.127015i | ||||
\(779\) | 24.3372 | − | 18.5821i | 0.871972 | − | 0.665772i | ||||
\(780\) | 42.2906 | − | 7.64913i | 1.51424 | − | 0.273883i | ||||
\(781\) | 1.67290 | + | 0.608888i | 0.0598612 | + | 0.0217877i | ||||
\(782\) | 36.7644 | − | 5.28436i | 1.31469 | − | 0.188968i | ||||
\(783\) | 21.1820 | − | 1.85319i | 0.756984 | − | 0.0662275i | ||||
\(784\) | 22.9139 | + | 35.6678i | 0.818354 | + | 1.27385i | ||||
\(785\) | 7.10417 | + | 6.19879i | 0.253559 | + | 0.221244i | ||||
\(786\) | −57.3237 | + | 13.4235i | −2.04467 | + | 0.478799i | ||||
\(787\) | 6.48699 | − | 24.2098i | 0.231236 | − | 0.862985i | −0.748574 | − | 0.663052i | \(-0.769261\pi\) |
0.979810 | − | 0.199933i | \(-0.0640724\pi\) | |||||||
\(788\) | −12.5681 | + | 23.0123i | −0.447721 | + | 0.819778i | ||||
\(789\) | −5.27686 | − | 14.4980i | −0.187861 | − | 0.516144i | ||||
\(790\) | −7.21958 | − | 7.99768i | −0.256861 | − | 0.284545i | ||||
\(791\) | 31.6188 | + | 18.2551i | 1.12423 | + | 0.649077i | ||||
\(792\) | 0.964704 | − | 3.48766i | 0.0342793 | − | 0.123929i | ||||
\(793\) | −29.9284 | − | 2.61839i | −1.06279 | − | 0.0929818i | ||||
\(794\) | −26.4288 | + | 1.46808i | −0.937923 | + | 0.0521004i | ||||
\(795\) | −16.4998 | − | 37.2454i | −0.585187 | − | 1.32096i | ||||
\(796\) | −14.1846 | − | 6.20924i | −0.502761 | − | 0.220081i | ||||
\(797\) | 39.4005 | − | 39.4005i | 1.39564 | − | 1.39564i | 0.583584 | − | 0.812053i | \(-0.301650\pi\) |
0.812053 | − | 0.583584i | \(-0.198350\pi\) | |||||||
\(798\) | 14.0577 | − | 54.5223i | 0.497638 | − | 1.93007i | ||||
\(799\) | 6.34411 | 0.224438 | ||||||||
\(800\) | −28.2768 | − | 0.649569i | −0.999736 | − | 0.0229657i | ||||
\(801\) | −0.857025 | − | 4.86043i | −0.0302815 | − | 0.171735i | ||||
\(802\) | 21.0664 | + | 18.8491i | 0.743880 | + | 0.665586i | ||||
\(803\) | −0.328922 | + | 3.75960i | −0.0116074 | + | 0.132673i | ||||
\(804\) | −4.37644 | + | 18.0334i | −0.154345 | + | 0.635988i | ||||
\(805\) | 20.3702 | − | 70.5439i | 0.717955 | − | 2.48634i | ||||
\(806\) | −15.4443 | − | 4.66896i | −0.544002 | − | 0.164457i | ||||
\(807\) | 32.8067 | + | 15.2980i | 1.15485 | + | 0.538516i | ||||
\(808\) | −8.46508 | + | 2.19526i | −0.297800 | + | 0.0772289i | ||||
\(809\) | 34.3420 | − | 19.8274i | 1.20740 | − | 0.697093i | 0.245210 | − | 0.969470i | \(-0.421143\pi\) |
0.962191 | + | 0.272377i | \(0.0878097\pi\) | |||||||
\(810\) | 10.8940 | − | 33.6741i | 0.382778 | − | 1.18319i | ||||
\(811\) | 34.2203 | + | 6.03397i | 1.20164 | + | 0.211881i | 0.738407 | − | 0.674356i | \(-0.235579\pi\) |
0.463232 | + | 0.886237i | \(0.346690\pi\) | |||||||
\(812\) | 9.77548 | − | 64.3250i | 0.343052 | − | 2.25737i | ||||
\(813\) | −0.811833 | − | 9.27929i | −0.0284722 | − | 0.325439i | ||||
\(814\) | 4.17077 | − | 5.57102i | 0.146186 | − | 0.195264i | ||||
\(815\) | −18.5834 | + | 14.9914i | −0.650947 | + | 0.525125i | ||||
\(816\) | 3.70407 | − | 28.9860i | 0.129668 | − | 1.01471i | ||||
\(817\) | 41.5453 | − | 17.0920i | 1.45349 | − | 0.597975i | ||||
\(818\) | 1.42159 | − | 44.7245i | 0.0497048 | − | 1.56375i | ||||
\(819\) | 30.2861 | + | 11.0232i | 1.05828 | + | 0.385183i | ||||
\(820\) | −10.8747 | − | 29.4734i | −0.379760 | − | 1.02926i | ||||
\(821\) | 12.2159 | + | 10.2504i | 0.426339 | + | 0.357741i | 0.830568 | − | 0.556917i | \(-0.188016\pi\) |
−0.404229 | + | 0.914658i | \(0.632460\pi\) | |||||||
\(822\) | −22.0227 | − | 28.0065i | −0.768130 | − | 0.976840i | ||||
\(823\) | −26.3244 | − | 37.5952i | −0.917612 | − | 1.31049i | −0.950402 | − | 0.311023i | \(-0.899328\pi\) |
0.0327907 | − | 0.999462i | \(-0.489561\pi\) | |||||||
\(824\) | 5.22031 | + | 31.0677i | 0.181858 | + | 1.08230i | ||||
\(825\) | −1.77092 | − | 7.80300i | −0.0616554 | − | 0.271665i | ||||
\(826\) | 31.1522 | + | 15.7501i | 1.08392 | + | 0.548017i | ||||
\(827\) | −20.7610 | − | 9.68099i | −0.721929 | − | 0.336641i | 0.0266878 | − | 0.999644i | \(-0.491504\pi\) |
−0.748617 | + | 0.663003i | \(0.769282\pi\) | |||||||
\(828\) | −8.71044 | + | 25.8212i | −0.302709 | + | 0.897350i | ||||
\(829\) | −26.5054 | − | 15.3029i | −0.920572 | − | 0.531493i | −0.0367546 | − | 0.999324i | \(-0.511702\pi\) |
−0.883818 | + | 0.467832i | \(0.845035\pi\) | |||||||
\(830\) | 5.51653 | + | 5.13114i | 0.191481 | + | 0.178105i | ||||
\(831\) | −10.1386 | − | 12.0827i | −0.351704 | − | 0.419144i | ||||
\(832\) | 3.64386 | − | 35.1207i | 0.126328 | − | 1.21759i | ||||
\(833\) | −20.3967 | + | 29.1295i | −0.706703 | + | 1.00928i | ||||
\(834\) | 35.1932 | − | 15.0689i | 1.21864 | − | 0.521793i | ||||
\(835\) | 12.8709 | + | 7.76623i | 0.445415 | + | 0.268761i | ||||
\(836\) | −1.51986 | − | 6.22456i | −0.0525654 | − | 0.215281i | ||||
\(837\) | −5.01169 | + | 5.01169i | −0.173229 | + | 0.173229i | ||||
\(838\) | −6.45421 | − | 2.58419i | −0.222957 | − | 0.0892693i | ||||
\(839\) | −0.332282 | − | 1.88447i | −0.0114717 | − | 0.0650590i | 0.978535 | − | 0.206083i | \(-0.0660717\pi\) |
−0.990006 | + | 0.141024i | \(0.954961\pi\) | |||||||
\(840\) | −49.2194 | − | 30.2424i | −1.69823 | − | 1.04346i | ||||
\(841\) | −23.8523 | + | 20.0144i | −0.822492 | + | 0.690153i | ||||
\(842\) | 7.24107 | − | 34.5990i | 0.249544 | − | 1.19236i | ||||
\(843\) | −3.14091 | − | 11.7220i | −0.108179 | − | 0.403728i | ||||
\(844\) | −16.9726 | + | 8.41008i | −0.584220 | + | 0.289487i | ||||
\(845\) | 8.08054 | + | 12.0281i | 0.277979 | + | 0.413779i | ||||
\(846\) | −2.10015 | + | 4.15388i | −0.0722045 | + | 0.142813i | ||||
\(847\) | 11.3568 | − | 42.3843i | 0.390225 | − | 1.45634i | ||||
\(848\) | −33.1655 | + | 4.49460i | −1.13891 | + | 0.154345i | ||||
\(849\) | 14.1843 | + | 2.50108i | 0.486806 | + | 0.0858370i | ||||
\(850\) | −8.48932 | − | 22.1544i | −0.291181 | − | 0.759889i | ||||
\(851\) | −33.6874 | + | 40.1471i | −1.15479 | + | 1.37623i | ||||
\(852\) | −6.58644 | + | 8.23855i | −0.225648 | + | 0.282248i | ||||
\(853\) | 9.10156 | + | 19.5184i | 0.311631 | + | 0.668296i | 0.998276 | − | 0.0586977i | \(-0.0186948\pi\) |
−0.686644 | + | 0.726993i | \(0.740917\pi\) | |||||||
\(854\) | 27.6332 | + | 29.4475i | 0.945587 | + | 1.00767i | ||||
\(855\) | 3.31170 | + | 16.6398i | 0.113258 | + | 0.569070i | ||||
\(856\) | 4.30887 | + | 5.21996i | 0.147274 | + | 0.178415i | ||||
\(857\) | −33.6867 | + | 15.7084i | −1.15072 | + | 0.536588i | −0.901892 | − | 0.431961i | \(-0.857822\pi\) |
−0.248824 | + | 0.968549i | \(0.580044\pi\) | |||||||
\(858\) | 9.88712 | − | 1.42113i | 0.337541 | − | 0.0485167i | ||||
\(859\) | −18.0015 | − | 15.1050i | −0.614203 | − | 0.515377i | 0.281773 | − | 0.959481i | \(-0.409078\pi\) |
−0.895975 | + | 0.444104i | \(0.853522\pi\) | |||||||
\(860\) | −4.21923 | − | 45.8973i | −0.143875 | − | 1.56509i | ||||
\(861\) | 11.1419 | − | 63.1889i | 0.379715 | − | 2.15347i | ||||
\(862\) | 26.2757 | + | 16.3047i | 0.894956 | + | 0.555341i | ||||
\(863\) | 24.1147 | + | 6.46152i | 0.820875 | + | 0.219953i | 0.644729 | − | 0.764411i | \(-0.276970\pi\) |
0.176146 | + | 0.984364i | \(0.443637\pi\) | |||||||
\(864\) | −12.8433 | − | 8.69646i | −0.436937 | − | 0.295860i | ||||
\(865\) | 54.7440 | + | 10.7469i | 1.86135 | + | 0.365404i | ||||
\(866\) | −10.7056 | + | 35.4126i | −0.363790 | + | 1.20337i | ||||
\(867\) | −12.0767 | + | 3.23595i | −0.410148 | + | 0.109899i | ||||
\(868\) | 11.2862 | + | 18.5197i | 0.383079 | + | 0.628598i | ||||
\(869\) | −1.60966 | − | 1.91831i | −0.0546038 | − | 0.0650743i | ||||
\(870\) | 15.6758 | + | 51.0409i | 0.531459 | + | 1.73045i | ||||
\(871\) | −18.5226 | + | 3.26604i | −0.627615 | + | 0.110665i | ||||
\(872\) | −16.4872 | + | 34.6257i | −0.558327 | + | 1.17257i | ||||
\(873\) | 1.36042 | + | 1.36042i | 0.0460434 | + | 0.0460434i | ||||
\(874\) | 8.82815 | + | 47.4380i | 0.298616 | + | 1.60461i | ||||
\(875\) | −46.8234 | − | 2.71597i | −1.58292 | − | 0.0918167i | ||||
\(876\) | −20.4834 | − | 8.96651i | −0.692071 | − | 0.302950i | ||||
\(877\) | 19.0082 | + | 13.3097i | 0.641861 | + | 0.449436i | 0.848654 | − | 0.528949i | \(-0.177414\pi\) |
−0.206792 | + | 0.978385i | \(0.566302\pi\) | |||||||
\(878\) | 14.5714 | + | 13.0377i | 0.491761 | + | 0.440002i | ||||
\(879\) | −49.0543 | + | 41.1614i | −1.65456 | + | 1.38834i | ||||
\(880\) | −6.56238 | − | 0.388593i | −0.221218 | − | 0.0130995i | ||||
\(881\) | 1.46272 | − | 2.53351i | 0.0492803 | − | 0.0853560i | −0.840333 | − | 0.542070i | \(-0.817641\pi\) |
0.889613 | + | 0.456715i | \(0.150974\pi\) | |||||||
\(882\) | −12.3208 | − | 22.9979i | −0.414862 | − | 0.774381i | ||||
\(883\) | 19.5377 | − | 41.8987i | 0.657496 | − | 1.41000i | −0.240784 | − | 0.970579i | \(-0.577404\pi\) |
0.898279 | − | 0.439425i | \(-0.144818\pi\) | |||||||
\(884\) | 28.4188 | − | 8.34193i | 0.955826 | − | 0.280570i | ||||
\(885\) | −28.6411 | − | 0.553221i | −0.962759 | − | 0.0185963i | ||||
\(886\) | −12.2558 | − | 52.3373i | −0.411741 | − | 1.75831i | ||||
\(887\) | 27.1700 | − | 19.0246i | 0.912278 | − | 0.638784i | −0.0202840 | − | 0.999794i | \(-0.506457\pi\) |
0.932562 | + | 0.361010i | \(0.117568\pi\) | |||||||
\(888\) | 23.3770 | + | 33.9651i | 0.784481 | + | 1.13979i | ||||
\(889\) | −26.1859 | + | 31.2071i | −0.878246 | + | 1.04665i | ||||
\(890\) | −8.30890 | + | 3.36931i | −0.278515 | + | 0.112940i | ||||
\(891\) | 2.81345 | − | 7.72988i | 0.0942540 | − | 0.258961i | ||||
\(892\) | 2.60982 | − | 2.29754i | 0.0873832 | − | 0.0769272i | ||||
\(893\) | 0.339760 | + | 8.23480i | 0.0113696 | + | 0.275567i | ||||
\(894\) | −23.4166 | − | 24.9540i | −0.783167 | − | 0.834588i | ||||
\(895\) | −8.74444 | − | 0.935525i | −0.292295 | − | 0.0312712i | ||||
\(896\) | −35.1286 | + | 31.9153i | −1.17356 | + | 1.06622i | ||||
\(897\) | −74.9360 | + | 6.55605i | −2.50204 | + | 0.218900i | ||||
\(898\) | 12.8078 | + | 16.2878i | 0.427400 | + | 0.543530i | ||||
\(899\) | 3.48086 | − | 19.7409i | 0.116093 | − | 0.658397i | ||||
\(900\) | 17.3161 | + | 1.77548i | 0.577204 | + | 0.0591826i | ||||
\(901\) | −14.0370 | − | 24.3127i | −0.467639 | − | 0.809974i | ||||
\(902\) | −2.27808 | − | 6.93721i | −0.0758517 | − | 0.230984i | ||||
\(903\) | 39.7838 | − | 85.3166i | 1.32392 | − | 2.83916i | ||||
\(904\) | −8.60538 | + | 23.0631i | −0.286211 | + | 0.767068i | ||||
\(905\) | −3.87672 | + | 13.4254i | −0.128866 | + | 0.446276i | ||||
\(906\) | −18.3127 | + | 11.9741i | −0.608398 | + | 0.397813i | ||||
\(907\) | −44.8791 | − | 3.92641i | −1.49019 | − | 0.130374i | −0.687242 | − | 0.726428i | \(-0.741179\pi\) |
−0.802945 | + | 0.596054i | \(0.796735\pi\) | |||||||
\(908\) | −0.445554 | − | 18.7829i | −0.0147862 | − | 0.623333i | ||||
\(909\) | 5.30021 | − | 0.934570i | 0.175797 | − | 0.0309977i | ||||
\(910\) | 8.07499 | − | 57.9916i | 0.267683 | − | 1.92240i | ||||
\(911\) | 44.2891i | 1.46736i | 0.679493 | + | 0.733682i | \(0.262200\pi\) | ||||
−0.679493 | + | 0.733682i | \(0.737800\pi\) | |||||||
\(912\) | 37.8229 | + | 3.25562i | 1.25244 | + | 0.107804i | ||||
\(913\) | 1.23819 | + | 1.23819i | 0.0409780 | + | 0.0409780i | ||||
\(914\) | 17.3271 | − | 7.41904i | 0.573129 | − | 0.245400i | ||||
\(915\) | −30.9163 | − | 11.9337i | −1.02206 | − | 0.394515i | ||||
\(916\) | 6.99867 | − | 7.33878i | 0.231243 | − | 0.242480i | ||||
\(917\) | −6.99076 | + | 79.9047i | −0.230855 | + | 2.63869i | ||||
\(918\) | 2.66516 | − | 12.7346i | 0.0879634 | − | 0.420303i | ||||
\(919\) | 25.6252 | − | 44.3841i | 0.845297 | − | 1.46410i | −0.0400670 | − | 0.999197i | \(-0.512757\pi\) |
0.885363 | − | 0.464899i | \(-0.153910\pi\) | |||||||
\(920\) | 49.1810 | + | 5.66283i | 1.62145 | + | 0.186698i | ||||
\(921\) | 36.5767 | − | 13.3128i | 1.20524 | − | 0.438673i | ||||
\(922\) | 31.4141 | − | 10.3160i | 1.03457 | − | 0.339738i | ||||
\(923\) | −10.3264 | − | 2.76696i | −0.339898 | − | 0.0910755i | ||||
\(924\) | −11.1779 | − | 7.43818i | −0.367727 | − | 0.244698i | ||||
\(925\) | 29.7712 | + | 15.3090i | 0.978872 | + | 0.503355i | ||||
\(926\) | 1.07526 | − | 8.98995i | 0.0353352 | − | 0.295428i | ||||
\(927\) | −1.68977 | − | 19.3142i | −0.0554994 | − | 0.634362i | ||||
\(928\) | 43.8624 | − | 0.686884i | 1.43985 | − | 0.0225481i | ||||
\(929\) | 5.70683 | − | 15.6794i | 0.187235 | − | 0.514424i | −0.810188 | − | 0.586170i | \(-0.800635\pi\) |
0.997423 | + | 0.0717462i | \(0.0228572\pi\) | |||||||
\(930\) | −14.9388 | − | 9.67440i | −0.489863 | − | 0.317236i | ||||
\(931\) | −38.9031 | − | 24.9153i | −1.27500 | − | 0.816566i | ||||
\(932\) | 8.60232 | + | 9.77155i | 0.281779 | + | 0.320078i | ||||
\(933\) | −18.2360 | − | 39.1073i | −0.597020 | − | 1.28031i | ||||
\(934\) | −8.78820 | + | 11.7386i | −0.287559 | + | 0.384100i | ||||
\(935\) | −1.78556 | − | 5.21716i | −0.0583942 | − | 0.170619i | ||||
\(936\) | −3.94574 | + | 21.3690i | −0.128970 | + | 0.698468i | ||||
\(937\) | −9.81895 | − | 14.0229i | −0.320771 | − | 0.458109i | 0.626090 | − | 0.779751i | \(-0.284654\pi\) |
−0.946861 | + | 0.321642i | \(0.895765\pi\) | |||||||
\(938\) | 21.4819 | + | 13.3300i | 0.701409 | + | 0.435241i | ||||
\(939\) | 34.9302 | + | 60.5010i | 1.13991 | + | 1.97437i | ||||
\(940\) | 8.17735 | + | 2.15256i | 0.266716 | + | 0.0702089i | ||||
\(941\) | 41.6834 | − | 15.1715i | 1.35884 | − | 0.494578i | 0.443145 | − | 0.896450i | \(-0.353863\pi\) |
0.915696 | + | 0.401872i | \(0.131640\pi\) | |||||||
\(942\) | −11.4445 | + | 6.13120i | −0.372882 | + | 0.199765i | ||||
\(943\) | 14.2316 | + | 53.1132i | 0.463446 | + | 1.72960i | ||||
\(944\) | −6.99193 | + | 22.4730i | −0.227568 | + | 0.731434i | ||||
\(945\) | −20.7800 | − | 15.1567i | −0.675972 | − | 0.493046i | ||||
\(946\) | −0.594150 | − | 10.6960i | −0.0193175 | − | 0.347758i | ||||
\(947\) | −3.47946 | + | 4.96918i | −0.113067 | + | 0.161477i | −0.871697 | − | 0.490045i | \(-0.836980\pi\) |
0.758630 | + | 0.651522i | \(0.225869\pi\) | |||||||
\(948\) | 13.8177 | − | 5.40368i | 0.448780 | − | 0.175503i | ||||
\(949\) | − | 22.6630i | − | 0.735674i | ||||||
\(950\) | 28.3023 | − | 12.2058i | 0.918247 | − | 0.396009i | ||||
\(951\) | − | 4.60811i | − | 0.149428i | ||||||
\(952\) | −35.9446 | − | 17.1152i | −1.16497 | − | 0.554707i | ||||
\(953\) | 9.70663 | − | 13.8625i | 0.314429 | − | 0.449051i | −0.630566 | − | 0.776135i | \(-0.717177\pi\) |
0.944995 | + | 0.327085i | \(0.106066\pi\) | |||||||
\(954\) | 20.5658 | − | 1.14240i | 0.665843 | − | 0.0369867i | ||||
\(955\) | −36.7000 | − | 26.7685i | −1.18758 | − | 0.866210i | ||||
\(956\) | −4.12794 | + | 17.0094i | −0.133507 | + | 0.550124i | ||||
\(957\) | 3.21192 | + | 11.9870i | 0.103827 | + | 0.387486i | ||||
\(958\) | 0.0920917 | + | 0.171898i | 0.00297535 | + | 0.00555378i | ||||
\(959\) | −45.6122 | + | 16.6015i | −1.47289 | + | 0.536089i | ||||
\(960\) | 14.6094 | − | 36.1052i | 0.471517 | − | 1.16529i | ||||
\(961\) | −12.1591 | − | 21.0602i | −0.392229 | − | 0.679361i | ||||
\(962\) | −22.0349 | + | 35.5102i | −0.710433 | + | 1.14489i | ||||
\(963\) | −2.38929 | − | 3.41226i | −0.0769938 | − | 0.109959i | ||||
\(964\) | −37.8386 | + | 27.8551i | −1.21870 | + | 0.897154i | ||||
\(965\) | 6.80865 | + | 19.8939i | 0.219178 | + | 0.640407i | ||||
\(966\) | 80.9415 | + | 60.5973i | 2.60425 | + | 1.94969i | ||||
\(967\) | 0.583075 | + | 1.25041i | 0.0187504 | + | 0.0402104i | 0.915460 | − | 0.402409i | \(-0.131827\pi\) |
−0.896710 | + | 0.442619i | \(0.854049\pi\) | |||||||
\(968\) | 29.4505 | + | 2.81589i | 0.946574 | + | 0.0905060i | ||||
\(969\) | 9.50273 | + | 30.3927i | 0.305272 | + | 0.976354i | ||||
\(970\) | 1.89987 | − | 2.93371i | 0.0610012 | − | 0.0941957i | ||||
\(971\) | −5.76500 | + | 15.8392i | −0.185008 | + | 0.508304i | −0.997174 | − | 0.0751212i | \(-0.976066\pi\) |
0.812167 | + | 0.583425i | \(0.198288\pi\) | |||||||
\(972\) | 25.2176 | + | 20.1606i | 0.808854 | + | 0.646651i | ||||
\(973\) | −4.54580 | − | 51.9587i | −0.145732 | − | 1.66572i | ||||
\(974\) | 30.6321 | + | 3.66381i | 0.981516 | + | 0.117396i | ||||
\(975\) | 14.6780 | + | 45.7527i | 0.470072 | + | 1.46526i | ||||
\(976\) | −16.4926 | + | 21.6635i | −0.527915 | + | 0.693432i | ||||
\(977\) | 32.9295 | + | 8.82345i | 1.05351 | + | 0.282287i | 0.743701 | − | 0.668512i | \(-0.233068\pi\) |
0.309808 | + | 0.950799i | \(0.399735\pi\) | |||||||
\(978\) | −10.2581 | − | 31.2379i | −0.328017 | − | 0.998878i | ||||
\(979\) | −1.95823 | + | 0.712738i | −0.0625853 | + | 0.0227792i | ||||
\(980\) | −36.1743 | + | 30.6263i | −1.15555 | + | 0.978321i | ||||
\(981\) | 11.8010 | − | 20.4399i | 0.376777 | − | 0.652597i | ||||
\(982\) | −26.8075 | − | 5.61042i | −0.855461 | − | 0.179036i | ||||
\(983\) | 4.57878 | − | 52.3356i | 0.146040 | − | 1.66925i | −0.470861 | − | 0.882207i | \(-0.656057\pi\) |
0.616902 | − | 0.787040i | \(-0.288388\pi\) | |||||||
\(984\) | 43.2596 | + | 0.348597i | 1.37907 | + | 0.0111129i | ||||
\(985\) | −27.3488 | − | 10.5566i | −0.871407 | − | 0.336363i | ||||
\(986\) | 14.4837 | + | 33.8265i | 0.461254 | + | 1.07725i | ||||
\(987\) | 12.2121 | + | 12.2121i | 0.388714 | + | 0.388714i | ||||
\(988\) | 12.3500 | + | 36.4414i | 0.392906 | + | 1.15936i | ||||
\(989\) | 80.6728i | 2.56525i | ||||||||
\(990\) | 4.00709 | + | 0.557963i | 0.127354 | + | 0.0177332i | ||||
\(991\) | −3.52997 | + | 0.622429i | −0.112133 | + | 0.0197721i | −0.229433 | − | 0.973324i | \(-0.573687\pi\) |
0.117300 | + | 0.993097i | \(0.462576\pi\) | |||||||
\(992\) | −11.0529 | + | 9.57339i | −0.350931 | + | 0.303955i | ||||
\(993\) | 18.3768 | + | 1.60776i | 0.583169 | + | 0.0510207i | ||||
\(994\) | 7.86424 | + | 12.0272i | 0.249439 | + | 0.381481i | ||||
\(995\) | 4.80272 | − | 16.6323i | 0.152256 | − | 0.527278i | ||||
\(996\) | −9.29603 | + | 4.60628i | −0.294556 | + | 0.145955i | ||||
\(997\) | −25.5604 | + | 54.8144i | −0.809505 | + | 1.73599i | −0.144025 | + | 0.989574i | \(0.546005\pi\) |
−0.665480 | + | 0.746416i | \(0.731773\pi\) | |||||||
\(998\) | −43.5321 | + | 14.2953i | −1.37799 | + | 0.452510i | ||||
\(999\) | 9.17901 | + | 15.8985i | 0.290411 | + | 0.503006i |
(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 | 380.2.bj.a.23.8 | ✓ | 672 | |
4.3 | odd | 2 | inner | 380.2.bj.a.23.24 | yes | 672 | |
5.2 | odd | 4 | inner | 380.2.bj.a.327.36 | yes | 672 | |
19.5 | even | 9 | inner | 380.2.bj.a.43.6 | yes | 672 | |
20.7 | even | 4 | inner | 380.2.bj.a.327.6 | yes | 672 | |
76.43 | odd | 18 | inner | 380.2.bj.a.43.36 | yes | 672 | |
95.62 | odd | 36 | inner | 380.2.bj.a.347.24 | yes | 672 | |
380.347 | even | 36 | inner | 380.2.bj.a.347.8 | yes | 672 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
380.2.bj.a.23.8 | ✓ | 672 | 1.1 | even | 1 | trivial | |
380.2.bj.a.23.24 | yes | 672 | 4.3 | odd | 2 | inner | |
380.2.bj.a.43.6 | yes | 672 | 19.5 | even | 9 | inner | |
380.2.bj.a.43.36 | yes | 672 | 76.43 | odd | 18 | inner | |
380.2.bj.a.327.6 | yes | 672 | 20.7 | even | 4 | inner | |
380.2.bj.a.327.36 | yes | 672 | 5.2 | odd | 4 | inner | |
380.2.bj.a.347.8 | yes | 672 | 380.347 | even | 36 | inner | |
380.2.bj.a.347.24 | yes | 672 | 95.62 | odd | 36 | inner |