Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(34,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.34");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.r (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 412.20 | ||
Character | \(\chi\) | \(=\) | 483.412 |
Dual form | 483.2.r.a.34.20 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{13}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.227214 | + | 0.146021i | 0.160664 | + | 0.103253i | 0.618502 | − | 0.785783i | \(-0.287740\pi\) |
−0.457838 | + | 0.889036i | \(0.651376\pi\) | |||||||
\(3\) | 0.989821 | − | 0.142315i | 0.571474 | − | 0.0821655i | ||||
\(4\) | −0.800526 | − | 1.75291i | −0.400263 | − | 0.876454i | ||||
\(5\) | 1.03996 | + | 0.305361i | 0.465086 | + | 0.136562i | 0.505876 | − | 0.862606i | \(-0.331169\pi\) |
−0.0407898 | + | 0.999168i | \(0.512987\pi\) | |||||||
\(6\) | 0.245682 | + | 0.112199i | 0.100299 | + | 0.0458051i | ||||
\(7\) | −1.80110 | − | 1.93805i | −0.680752 | − | 0.732514i | ||||
\(8\) | 0.150947 | − | 1.04986i | 0.0533678 | − | 0.371181i | ||||
\(9\) | 0.959493 | − | 0.281733i | 0.319831 | − | 0.0939109i | ||||
\(10\) | 0.191705 | + | 0.221239i | 0.0606224 | + | 0.0699620i | ||||
\(11\) | 2.42939 | + | 3.78020i | 0.732488 | + | 1.13977i | 0.985063 | + | 0.172196i | \(0.0550862\pi\) |
−0.252575 | + | 0.967577i | \(0.581277\pi\) | |||||||
\(12\) | −1.04184 | − | 1.62114i | −0.300754 | − | 0.467983i | ||||
\(13\) | 2.38102 | − | 2.06316i | 0.660375 | − | 0.572218i | −0.258866 | − | 0.965913i | \(-0.583349\pi\) |
0.919241 | + | 0.393695i | \(0.128803\pi\) | |||||||
\(14\) | −0.126238 | − | 0.703351i | −0.0337385 | − | 0.187978i | ||||
\(15\) | 1.07284 | + | 0.154251i | 0.277005 | + | 0.0398274i | ||||
\(16\) | −2.33630 | + | 2.69624i | −0.584075 | + | 0.674059i | ||||
\(17\) | 2.18750 | − | 4.78996i | 0.530547 | − | 1.16174i | −0.434742 | − | 0.900555i | \(-0.643161\pi\) |
0.965290 | − | 0.261182i | \(-0.0841122\pi\) | |||||||
\(18\) | 0.259149 | + | 0.0760930i | 0.0610820 | + | 0.0179353i | ||||
\(19\) | −2.28938 | − | 5.01305i | −0.525221 | − | 1.15007i | −0.967425 | − | 0.253158i | \(-0.918531\pi\) |
0.442204 | − | 0.896914i | \(-0.354197\pi\) | |||||||
\(20\) | −0.297249 | − | 2.06741i | −0.0664669 | − | 0.462287i | ||||
\(21\) | −2.05858 | − | 1.66200i | −0.449219 | − | 0.362678i | ||||
\(22\) | 1.21366i | 0.258752i | ||||||||
\(23\) | −0.277290 | − | 4.78781i | −0.0578190 | − | 0.998327i | ||||
\(24\) | − | 1.06065i | − | 0.216505i | ||||||
\(25\) | −3.21799 | − | 2.06807i | −0.643597 | − | 0.413615i | ||||
\(26\) | 0.842265 | − | 0.121099i | 0.165182 | − | 0.0237495i | ||||
\(27\) | 0.909632 | − | 0.415415i | 0.175059 | − | 0.0799467i | ||||
\(28\) | −1.95540 | + | 4.70862i | −0.369535 | + | 0.889846i | ||||
\(29\) | −0.778025 | + | 1.70364i | −0.144476 | + | 0.316358i | −0.968011 | − | 0.250907i | \(-0.919271\pi\) |
0.823535 | + | 0.567265i | \(0.191998\pi\) | |||||||
\(30\) | 0.221239 | + | 0.191705i | 0.0403926 | + | 0.0350004i | ||||
\(31\) | 6.66165 | + | 0.957801i | 1.19647 | + | 0.172026i | 0.711615 | − | 0.702569i | \(-0.247964\pi\) |
0.484853 | + | 0.874596i | \(0.338873\pi\) | |||||||
\(32\) | −2.95993 | + | 0.869114i | −0.523247 | + | 0.153639i | ||||
\(33\) | 2.94264 | + | 3.39599i | 0.512248 | + | 0.591165i | ||||
\(34\) | 1.19647 | − | 0.768923i | 0.205192 | − | 0.131869i | ||||
\(35\) | −1.28128 | − | 2.56549i | −0.216575 | − | 0.433647i | ||||
\(36\) | −1.26195 | − | 1.45637i | −0.210325 | − | 0.242728i | ||||
\(37\) | 2.08577 | + | 7.10348i | 0.342899 | + | 1.16781i | 0.932819 | + | 0.360344i | \(0.117341\pi\) |
−0.589921 | + | 0.807461i | \(0.700841\pi\) | |||||||
\(38\) | 0.211833 | − | 1.47333i | 0.0343639 | − | 0.239006i | ||||
\(39\) | 2.06316 | − | 2.38102i | 0.330370 | − | 0.381268i | ||||
\(40\) | 0.477566 | − | 1.04572i | 0.0755098 | − | 0.165343i | ||||
\(41\) | −3.11602 | + | 10.6122i | −0.486640 | + | 1.65734i | 0.240343 | + | 0.970688i | \(0.422740\pi\) |
−0.726983 | + | 0.686655i | \(0.759078\pi\) | |||||||
\(42\) | −0.225050 | − | 0.678226i | −0.0347260 | − | 0.104653i | ||||
\(43\) | −1.39400 | + | 0.200427i | −0.212583 | + | 0.0305649i | −0.247784 | − | 0.968815i | \(-0.579702\pi\) |
0.0352003 | + | 0.999380i | \(0.488793\pi\) | |||||||
\(44\) | 4.68155 | − | 7.28464i | 0.705771 | − | 1.09820i | ||||
\(45\) | 1.08387 | 0.161574 | ||||||||
\(46\) | 0.636118 | − | 1.12835i | 0.0937905 | − | 0.166365i | ||||
\(47\) | − | 1.11953i | − | 0.163300i | −0.996661 | − | 0.0816498i | \(-0.973981\pi\) | ||
0.996661 | − | 0.0816498i | \(-0.0260189\pi\) | |||||||
\(48\) | −1.92881 | + | 3.00128i | −0.278399 | + | 0.433198i | ||||
\(49\) | −0.512079 | + | 6.98124i | −0.0731541 | + | 0.997321i | ||||
\(50\) | −0.429187 | − | 0.939789i | −0.0606963 | − | 0.132906i | ||||
\(51\) | 1.48355 | − | 5.05252i | 0.207739 | − | 0.707495i | ||||
\(52\) | −5.52260 | − | 2.52209i | −0.765847 | − | 0.349750i | ||||
\(53\) | −1.39483 | − | 1.20863i | −0.191595 | − | 0.166018i | 0.553781 | − | 0.832662i | \(-0.313184\pi\) |
−0.745376 | + | 0.666645i | \(0.767730\pi\) | |||||||
\(54\) | 0.267340 | + | 0.0384377i | 0.0363804 | + | 0.00523071i | ||||
\(55\) | 1.37215 | + | 4.67312i | 0.185021 | + | 0.630123i | ||||
\(56\) | −2.30655 | + | 1.59836i | −0.308226 | + | 0.213590i | ||||
\(57\) | −2.97951 | − | 4.63621i | −0.394646 | − | 0.614081i | ||||
\(58\) | −0.425546 | + | 0.273482i | −0.0558769 | + | 0.0359099i | ||||
\(59\) | 9.62852 | − | 8.34316i | 1.25353 | − | 1.08619i | 0.260851 | − | 0.965379i | \(-0.415997\pi\) |
0.992676 | − | 0.120808i | \(-0.0385486\pi\) | |||||||
\(60\) | −0.588447 | − | 2.00407i | −0.0759682 | − | 0.258724i | ||||
\(61\) | −1.66120 | + | 11.5539i | −0.212695 | + | 1.47932i | 0.551412 | + | 0.834233i | \(0.314089\pi\) |
−0.764106 | + | 0.645090i | \(0.776820\pi\) | |||||||
\(62\) | 1.37376 | + | 1.19037i | 0.174468 | + | 0.151177i | ||||
\(63\) | −2.27415 | − | 1.35212i | −0.286517 | − | 0.170351i | ||||
\(64\) | 6.04679 | + | 1.77550i | 0.755849 | + | 0.221937i | ||||
\(65\) | 3.10618 | − | 1.41855i | 0.385275 | − | 0.175949i | ||||
\(66\) | 0.172721 | + | 1.20130i | 0.0212605 | + | 0.147870i | ||||
\(67\) | −5.58129 | + | 8.68465i | −0.681863 | + | 1.06100i | 0.311968 | + | 0.950093i | \(0.399012\pi\) |
−0.993831 | + | 0.110907i | \(0.964625\pi\) | |||||||
\(68\) | −10.1475 | −1.23057 | ||||||||
\(69\) | −0.955844 | − | 4.69961i | −0.115070 | − | 0.565767i | ||||
\(70\) | 0.0834932 | − | 0.770008i | 0.00997934 | − | 0.0920336i | ||||
\(71\) | 8.57728 | + | 5.51229i | 1.01794 | + | 0.654188i | 0.939435 | − | 0.342726i | \(-0.111350\pi\) |
0.0785010 | + | 0.996914i | \(0.474987\pi\) | |||||||
\(72\) | −0.150947 | − | 1.04986i | −0.0177893 | − | 0.123727i | ||||
\(73\) | 12.5808 | − | 5.74545i | 1.47247 | − | 0.672454i | 0.492265 | − | 0.870446i | \(-0.336169\pi\) |
0.980204 | + | 0.197992i | \(0.0634420\pi\) | |||||||
\(74\) | −0.563345 | + | 1.91858i | −0.0654875 | + | 0.223030i | ||||
\(75\) | −3.47955 | − | 1.58906i | −0.401784 | − | 0.183488i | ||||
\(76\) | −6.95470 | + | 8.02616i | −0.797759 | + | 0.920663i | ||||
\(77\) | 2.95065 | − | 11.5168i | 0.336258 | − | 1.31246i | ||||
\(78\) | 0.816458 | − | 0.239734i | 0.0924456 | − | 0.0271445i | ||||
\(79\) | −6.67014 | + | 5.77971i | −0.750450 | + | 0.650268i | −0.943670 | − | 0.330887i | \(-0.892652\pi\) |
0.193221 | + | 0.981155i | \(0.438107\pi\) | |||||||
\(80\) | −3.25300 | + | 2.09058i | −0.363696 | + | 0.233733i | ||||
\(81\) | 0.841254 | − | 0.540641i | 0.0934726 | − | 0.0600712i | ||||
\(82\) | −2.25761 | + | 1.95623i | −0.249311 | + | 0.216029i | ||||
\(83\) | 0.695752 | − | 0.204291i | 0.0763688 | − | 0.0224239i | −0.243325 | − | 0.969945i | \(-0.578238\pi\) |
0.319694 | + | 0.947521i | \(0.396420\pi\) | |||||||
\(84\) | −1.26539 | + | 4.93898i | −0.138065 | + | 0.538887i | ||||
\(85\) | 3.73760 | − | 4.31342i | 0.405399 | − | 0.467856i | ||||
\(86\) | −0.346003 | − | 0.158014i | −0.0373104 | − | 0.0170391i | ||||
\(87\) | −0.527653 | + | 1.79702i | −0.0565704 | + | 0.192661i | ||||
\(88\) | 4.33539 | − | 1.97990i | 0.462154 | − | 0.211059i | ||||
\(89\) | 1.66375 | + | 11.5717i | 0.176358 | + | 1.22659i | 0.865104 | + | 0.501592i | \(0.167252\pi\) |
−0.688747 | + | 0.725002i | \(0.741839\pi\) | |||||||
\(90\) | 0.246270 | + | 0.158268i | 0.0259591 | + | 0.0166829i | ||||
\(91\) | −8.28696 | − | 0.898568i | −0.868709 | − | 0.0941955i | ||||
\(92\) | −8.17061 | + | 4.31883i | −0.851845 | + | 0.450269i | ||||
\(93\) | 6.73016 | 0.697885 | ||||||||
\(94\) | 0.163475 | − | 0.254371i | 0.0168611 | − | 0.0262364i | ||||
\(95\) | −0.850087 | − | 5.91249i | −0.0872171 | − | 0.606608i | ||||
\(96\) | −2.80611 | + | 1.28151i | −0.286398 | + | 0.130794i | ||||
\(97\) | 7.69464 | + | 2.25935i | 0.781272 | + | 0.229402i | 0.647963 | − | 0.761672i | \(-0.275621\pi\) |
0.133310 | + | 0.991074i | \(0.457439\pi\) | |||||||
\(98\) | −1.13576 | + | 1.51146i | −0.114729 | + | 0.152680i | ||||
\(99\) | 3.39599 | + | 2.94264i | 0.341309 | + | 0.295746i | ||||
\(100\) | −1.04906 | + | 7.29638i | −0.104906 | + | 0.729638i | ||||
\(101\) | 2.70718 | + | 9.21979i | 0.269374 | + | 0.917404i | 0.977432 | + | 0.211250i | \(0.0677533\pi\) |
−0.708058 | + | 0.706154i | \(0.750429\pi\) | |||||||
\(102\) | 1.07486 | − | 0.931371i | 0.106427 | − | 0.0922195i | ||||
\(103\) | −8.38523 | + | 5.38886i | −0.826221 | + | 0.530980i | −0.884075 | − | 0.467345i | \(-0.845211\pi\) |
0.0578537 | + | 0.998325i | \(0.481574\pi\) | |||||||
\(104\) | −1.80662 | − | 2.81116i | −0.177154 | − | 0.275657i | ||||
\(105\) | −1.63334 | − | 2.35703i | −0.159398 | − | 0.230023i | ||||
\(106\) | −0.140439 | − | 0.478292i | −0.0136407 | − | 0.0464558i | ||||
\(107\) | −5.56322 | − | 0.799870i | −0.537816 | − | 0.0773263i | −0.131946 | − | 0.991257i | \(-0.542123\pi\) |
−0.405870 | + | 0.913931i | \(0.633032\pi\) | |||||||
\(108\) | −1.45637 | − | 1.26195i | −0.140139 | − | 0.121431i | ||||
\(109\) | −2.82030 | − | 1.28799i | −0.270135 | − | 0.123367i | 0.275742 | − | 0.961232i | \(-0.411076\pi\) |
−0.545878 | + | 0.837865i | \(0.683804\pi\) | |||||||
\(110\) | −0.370603 | + | 1.26216i | −0.0353356 | + | 0.120342i | ||||
\(111\) | 3.07547 | + | 6.73434i | 0.291911 | + | 0.639196i | ||||
\(112\) | 9.43335 | − | 0.328320i | 0.891368 | − | 0.0310233i | ||||
\(113\) | 4.77648 | − | 7.43234i | 0.449333 | − | 0.699176i | −0.540510 | − | 0.841337i | \(-0.681769\pi\) |
0.989843 | + | 0.142161i | \(0.0454052\pi\) | |||||||
\(114\) | − | 1.48848i | − | 0.139409i | ||||||
\(115\) | 1.17364 | − | 5.06383i | 0.109442 | − | 0.472204i | ||||
\(116\) | 3.60915 | 0.335101 | ||||||||
\(117\) | 1.70331 | − | 2.65040i | 0.157471 | − | 0.245029i | ||||
\(118\) | 3.40601 | − | 0.489711i | 0.313549 | − | 0.0450815i | ||||
\(119\) | −13.2231 | + | 4.38771i | −1.21216 | + | 0.402221i | ||||
\(120\) | 0.323883 | − | 1.10304i | 0.0295663 | − | 0.100694i | ||||
\(121\) | −3.81843 | + | 8.36119i | −0.347130 | + | 0.760108i | ||||
\(122\) | −2.06456 | + | 2.38263i | −0.186917 | + | 0.215713i | ||||
\(123\) | −1.57403 | + | 10.9476i | −0.141925 | + | 0.987113i | ||||
\(124\) | −3.65389 | − | 12.4440i | −0.328129 | − | 1.11751i | ||||
\(125\) | −6.26400 | − | 7.22904i | −0.560269 | − | 0.646585i | ||||
\(126\) | −0.319281 | − | 0.639295i | −0.0284438 | − | 0.0569529i | ||||
\(127\) | −7.42569 | + | 4.77220i | −0.658924 | + | 0.423465i | −0.826917 | − | 0.562323i | \(-0.809908\pi\) |
0.167994 | + | 0.985788i | \(0.446271\pi\) | |||||||
\(128\) | 5.15500 | + | 5.94919i | 0.455642 | + | 0.525839i | ||||
\(129\) | −1.35129 | + | 0.396774i | −0.118974 | + | 0.0349340i | ||||
\(130\) | 0.912905 | + | 0.131256i | 0.0800671 | + | 0.0115119i | ||||
\(131\) | −14.9580 | − | 12.9612i | −1.30689 | − | 1.13243i | −0.982451 | − | 0.186520i | \(-0.940279\pi\) |
−0.324439 | − | 0.945907i | \(-0.605175\pi\) | |||||||
\(132\) | 3.59719 | − | 7.87675i | 0.313095 | − | 0.685583i | ||||
\(133\) | −5.59214 | + | 13.4659i | −0.484900 | + | 1.16765i | ||||
\(134\) | −2.53629 | + | 1.15828i | −0.219102 | + | 0.100061i | ||||
\(135\) | 1.07284 | − | 0.154251i | 0.0923351 | − | 0.0132758i | ||||
\(136\) | −4.69859 | − | 3.01960i | −0.402901 | − | 0.258929i | ||||
\(137\) | − | 2.80847i | − | 0.239944i | −0.992777 | − | 0.119972i | \(-0.961719\pi\) | ||
0.992777 | − | 0.119972i | \(-0.0382805\pi\) | |||||||
\(138\) | 0.469063 | − | 1.20739i | 0.0399293 | − | 0.102780i | ||||
\(139\) | − | 11.5201i | − | 0.977123i | −0.872529 | − | 0.488562i | \(-0.837522\pi\) | ||
0.872529 | − | 0.488562i | \(-0.162478\pi\) | |||||||
\(140\) | −3.47137 | + | 4.29970i | −0.293385 | + | 0.363391i | ||||
\(141\) | −0.159325 | − | 1.10813i | −0.0134176 | − | 0.0933214i | ||||
\(142\) | 1.14396 | + | 2.50493i | 0.0959994 | + | 0.210209i | ||||
\(143\) | 13.5836 | + | 3.98850i | 1.13592 | + | 0.333535i | ||||
\(144\) | −1.48205 | + | 3.24523i | −0.123504 | + | 0.270436i | ||||
\(145\) | −1.32934 | + | 1.53415i | −0.110396 | + | 0.127404i | ||||
\(146\) | 3.69748 | + | 0.531618i | 0.306006 | + | 0.0439970i | ||||
\(147\) | 0.486668 | + | 6.98306i | 0.0401397 | + | 0.575953i | ||||
\(148\) | 10.7820 | − | 9.34269i | 0.886278 | − | 0.767964i | ||||
\(149\) | −6.27446 | − | 9.76325i | −0.514024 | − | 0.799836i | 0.483105 | − | 0.875562i | \(-0.339509\pi\) |
−0.997129 | + | 0.0757260i | \(0.975873\pi\) | |||||||
\(150\) | −0.558565 | − | 0.869144i | −0.0456066 | − | 0.0709653i | ||||
\(151\) | −5.69807 | − | 6.57593i | −0.463703 | − | 0.535141i | 0.474947 | − | 0.880015i | \(-0.342467\pi\) |
−0.938649 | + | 0.344873i | \(0.887922\pi\) | |||||||
\(152\) | −5.60857 | + | 1.64683i | −0.454915 | + | 0.133575i | ||||
\(153\) | 0.749405 | − | 5.21223i | 0.0605858 | − | 0.421384i | ||||
\(154\) | 2.35213 | − | 2.18591i | 0.189540 | − | 0.176146i | ||||
\(155\) | 6.63541 | + | 3.03029i | 0.532969 | + | 0.243399i | ||||
\(156\) | −5.82532 | − | 1.71047i | −0.466399 | − | 0.136947i | ||||
\(157\) | 7.41817 | + | 16.2435i | 0.592034 | + | 1.29637i | 0.934205 | + | 0.356736i | \(0.116111\pi\) |
−0.342171 | + | 0.939638i | \(0.611162\pi\) | |||||||
\(158\) | −2.35951 | + | 0.339246i | −0.187712 | + | 0.0269890i | ||||
\(159\) | −1.55264 | − | 0.997820i | −0.123132 | − | 0.0791323i | ||||
\(160\) | −3.34362 | −0.264336 | ||||||||
\(161\) | −8.77959 | + | 9.16072i | −0.691928 | + | 0.721966i | ||||
\(162\) | 0.270089 | 0.0212202 | ||||||||
\(163\) | −19.1315 | − | 12.2951i | −1.49849 | − | 0.963024i | −0.995090 | − | 0.0989727i | \(-0.968444\pi\) |
−0.503404 | − | 0.864051i | \(-0.667919\pi\) | |||||||
\(164\) | 21.0966 | − | 3.03324i | 1.64737 | − | 0.236856i | ||||
\(165\) | 2.02324 | + | 4.43027i | 0.157509 | + | 0.344896i | ||||
\(166\) | 0.187915 | + | 0.0551769i | 0.0145851 | + | 0.00428256i | ||||
\(167\) | 7.73632 | + | 3.53306i | 0.598654 | + | 0.273396i | 0.691607 | − | 0.722274i | \(-0.256903\pi\) |
−0.0929524 | + | 0.995671i | \(0.529630\pi\) | |||||||
\(168\) | −2.05560 | + | 1.91035i | −0.158593 | + | 0.147386i | ||||
\(169\) | −0.437494 | + | 3.04284i | −0.0336534 | + | 0.234064i | ||||
\(170\) | 1.47908 | − | 0.434298i | 0.113441 | − | 0.0333091i | ||||
\(171\) | −3.60899 | − | 4.16499i | −0.275986 | − | 0.318505i | ||||
\(172\) | 1.46727 | + | 2.28311i | 0.111878 | + | 0.174085i | ||||
\(173\) | 5.25864 | + | 8.18260i | 0.399807 | + | 0.622112i | 0.981538 | − | 0.191270i | \(-0.0612605\pi\) |
−0.581731 | + | 0.813382i | \(0.697624\pi\) | |||||||
\(174\) | −0.382294 | + | 0.331259i | −0.0289816 | + | 0.0251127i | ||||
\(175\) | 1.78788 | + | 9.96143i | 0.135151 | + | 0.753013i | ||||
\(176\) | −15.8681 | − | 2.28149i | −1.19610 | − | 0.171974i | ||||
\(177\) | 8.34316 | − | 9.62852i | 0.627110 | − | 0.723724i | ||||
\(178\) | −1.31168 | + | 2.87218i | −0.0983148 | + | 0.215279i | ||||
\(179\) | 21.6927 | + | 6.36954i | 1.62139 | + | 0.476082i | 0.961391 | − | 0.275187i | \(-0.0887399\pi\) |
0.659996 | + | 0.751269i | \(0.270558\pi\) | |||||||
\(180\) | −0.867666 | − | 1.89992i | −0.0646720 | − | 0.141612i | ||||
\(181\) | −1.43926 | − | 10.0103i | −0.106979 | − | 0.744058i | −0.970736 | − | 0.240149i | \(-0.922804\pi\) |
0.863757 | − | 0.503909i | \(-0.168105\pi\) | |||||||
\(182\) | −1.75170 | − | 1.41424i | −0.129845 | − | 0.104830i | ||||
\(183\) | 11.6727i | 0.862871i | ||||||||
\(184\) | −5.06838 | − | 0.431590i | −0.373646 | − | 0.0318172i | ||||
\(185\) | 8.02429i | 0.589957i | ||||||||
\(186\) | 1.52918 | + | 0.982747i | 0.112125 | + | 0.0720585i | ||||
\(187\) | 23.4213 | − | 3.36748i | 1.71274 | − | 0.246254i | ||||
\(188\) | −1.96242 | + | 0.896209i | −0.143124 | + | 0.0653628i | ||||
\(189\) | −2.44343 | − | 1.01471i | −0.177734 | − | 0.0738092i | ||||
\(190\) | 0.670198 | − | 1.46753i | 0.0486212 | − | 0.106466i | ||||
\(191\) | 14.4740 | + | 12.5418i | 1.04730 | + | 0.907495i | 0.995834 | − | 0.0911800i | \(-0.0290639\pi\) |
0.0514701 | + | 0.998675i | \(0.483609\pi\) | |||||||
\(192\) | 6.23792 | + | 0.896878i | 0.450183 | + | 0.0647266i | ||||
\(193\) | 4.26226 | − | 1.25151i | 0.306804 | − | 0.0900857i | −0.124707 | − | 0.992194i | \(-0.539799\pi\) |
0.431510 | + | 0.902108i | \(0.357981\pi\) | |||||||
\(194\) | 1.41841 | + | 1.63694i | 0.101836 | + | 0.117525i | ||||
\(195\) | 2.87269 | − | 1.84616i | 0.205717 | − | 0.132206i | ||||
\(196\) | 12.6474 | − | 4.69104i | 0.903387 | − | 0.335074i | ||||
\(197\) | −1.25209 | − | 1.44499i | −0.0892079 | − | 0.102951i | 0.709391 | − | 0.704816i | \(-0.248970\pi\) |
−0.798598 | + | 0.601864i | \(0.794425\pi\) | |||||||
\(198\) | 0.341926 | + | 1.16449i | 0.0242996 | + | 0.0827570i | ||||
\(199\) | −1.29091 | + | 8.97847i | −0.0915102 | + | 0.636467i | 0.891514 | + | 0.452993i | \(0.149644\pi\) |
−0.983024 | + | 0.183475i | \(0.941265\pi\) | |||||||
\(200\) | −2.65693 | + | 3.06626i | −0.187873 | + | 0.216817i | ||||
\(201\) | −4.28852 | + | 9.39055i | −0.302489 | + | 0.662359i | ||||
\(202\) | −0.731179 | + | 2.49017i | −0.0514456 | + | 0.175208i | ||||
\(203\) | 4.70304 | − | 1.56057i | 0.330089 | − | 0.109531i | ||||
\(204\) | −10.0442 | + | 1.44414i | −0.703237 | + | 0.101110i | ||||
\(205\) | −6.48109 | + | 10.0848i | −0.452659 | + | 0.704351i | ||||
\(206\) | −2.69213 | −0.187569 | ||||||||
\(207\) | −1.61494 | − | 4.51575i | −0.112246 | − | 0.313866i | ||||
\(208\) | 11.2399i | 0.779350i | ||||||||
\(209\) | 13.3885 | − | 20.8330i | 0.926104 | − | 1.44105i | ||||
\(210\) | −0.0269402 | − | 0.774053i | −0.00185905 | − | 0.0534147i | ||||
\(211\) | −7.86869 | − | 17.2300i | −0.541703 | − | 1.18616i | −0.960550 | − | 0.278108i | \(-0.910293\pi\) |
0.418847 | − | 0.908057i | \(-0.362434\pi\) | |||||||
\(212\) | −1.00201 | + | 3.41255i | −0.0688186 | + | 0.234375i | ||||
\(213\) | 9.27446 | + | 4.23550i | 0.635476 | + | 0.290212i | ||||
\(214\) | −1.14724 | − | 0.994089i | −0.0784237 | − | 0.0679546i | ||||
\(215\) | −1.51092 | − | 0.217237i | −0.103044 | − | 0.0148154i | ||||
\(216\) | −0.298821 | − | 1.01769i | −0.0203322 | − | 0.0692451i | ||||
\(217\) | −10.1420 | − | 14.6357i | −0.688486 | − | 0.993537i | ||||
\(218\) | −0.452736 | − | 0.704471i | −0.0306632 | − | 0.0477128i | ||||
\(219\) | 11.6351 | − | 7.47740i | 0.786224 | − | 0.505276i | ||||
\(220\) | 7.09310 | − | 6.14621i | 0.478217 | − | 0.414377i | ||||
\(221\) | −4.67399 | − | 15.9182i | −0.314407 | − | 1.07077i | ||||
\(222\) | −0.284569 | + | 1.97922i | −0.0190990 | + | 0.132836i | ||||
\(223\) | −16.9528 | − | 14.6897i | −1.13524 | − | 0.983695i | −0.135269 | − | 0.990809i | \(-0.543190\pi\) |
−0.999975 | + | 0.00711417i | \(0.997735\pi\) | |||||||
\(224\) | 7.01552 | + | 4.17113i | 0.468744 | + | 0.278695i | ||||
\(225\) | −3.67028 | − | 1.07769i | −0.244685 | − | 0.0718461i | ||||
\(226\) | 2.17056 | − | 0.991262i | 0.144384 | − | 0.0659378i | ||||
\(227\) | −1.51829 | − | 10.5599i | −0.100772 | − | 0.700888i | −0.976094 | − | 0.217347i | \(-0.930260\pi\) |
0.875322 | − | 0.483541i | \(-0.160649\pi\) | |||||||
\(228\) | −5.74167 | + | 8.93422i | −0.380252 | + | 0.591683i | ||||
\(229\) | −3.49933 | −0.231242 | −0.115621 | − | 0.993293i | \(-0.536886\pi\) | ||||
−0.115621 | + | 0.993293i | \(0.536886\pi\) | |||||||
\(230\) | 1.00609 | − | 0.979194i | 0.0663399 | − | 0.0645661i | ||||
\(231\) | 1.28161 | − | 11.8195i | 0.0843235 | − | 0.777665i | ||||
\(232\) | 1.67114 | + | 1.07398i | 0.109716 | + | 0.0705100i | ||||
\(233\) | 1.77046 | + | 12.3138i | 0.115986 | + | 0.806704i | 0.961904 | + | 0.273389i | \(0.0881447\pi\) |
−0.845917 | + | 0.533315i | \(0.820946\pi\) | |||||||
\(234\) | 0.774030 | − | 0.353487i | 0.0505999 | − | 0.0231082i | ||||
\(235\) | 0.341860 | − | 1.16427i | 0.0223005 | − | 0.0759484i | ||||
\(236\) | −22.3327 | − | 10.1990i | −1.45373 | − | 0.663898i | ||||
\(237\) | −5.77971 | + | 6.67014i | −0.375433 | + | 0.433272i | ||||
\(238\) | −3.64517 | − | 0.933907i | −0.236281 | − | 0.0605362i | ||||
\(239\) | −10.9628 | + | 3.21897i | −0.709124 | + | 0.208218i | −0.616353 | − | 0.787470i | \(-0.711391\pi\) |
−0.0927711 | + | 0.995687i | \(0.529572\pi\) | |||||||
\(240\) | −2.92237 | + | 2.53225i | −0.188638 | + | 0.163456i | ||||
\(241\) | 15.9870 | − | 10.2742i | 1.02981 | − | 0.661821i | 0.0873668 | − | 0.996176i | \(-0.472155\pi\) |
0.942447 | + | 0.334355i | \(0.108518\pi\) | |||||||
\(242\) | −2.08851 | + | 1.34220i | −0.134255 | + | 0.0862801i | ||||
\(243\) | 0.755750 | − | 0.654861i | 0.0484814 | − | 0.0420093i | ||||
\(244\) | 21.5827 | − | 6.33726i | 1.38169 | − | 0.405702i | ||||
\(245\) | −2.66435 | + | 7.10388i | −0.170219 | + | 0.453850i | ||||
\(246\) | −1.95623 | + | 2.25761i | −0.124724 | + | 0.143940i | ||||
\(247\) | −15.7938 | − | 7.21278i | −1.00493 | − | 0.458938i | ||||
\(248\) | 2.01111 | − | 6.84922i | 0.127706 | − | 0.434926i | ||||
\(249\) | 0.659597 | − | 0.301228i | 0.0418003 | − | 0.0190895i | ||||
\(250\) | −0.367672 | − | 2.55721i | −0.0232536 | − | 0.161732i | ||||
\(251\) | −8.72513 | − | 5.60730i | −0.550725 | − | 0.353930i | 0.235495 | − | 0.971875i | \(-0.424329\pi\) |
−0.786221 | + | 0.617946i | \(0.787965\pi\) | |||||||
\(252\) | −0.549617 | + | 5.06879i | −0.0346226 | + | 0.319304i | ||||
\(253\) | 17.4252 | − | 12.6797i | 1.09551 | − | 0.797163i | ||||
\(254\) | −2.38406 | −0.149589 | ||||||||
\(255\) | 3.08569 | − | 4.80143i | 0.193233 | − | 0.300677i | ||||
\(256\) | −1.49118 | − | 10.3714i | −0.0931986 | − | 0.648210i | ||||
\(257\) | 24.9774 | − | 11.4068i | 1.55805 | − | 0.711538i | 0.564553 | − | 0.825397i | \(-0.309049\pi\) |
0.993497 | + | 0.113859i | \(0.0363213\pi\) | |||||||
\(258\) | −0.364969 | − | 0.107165i | −0.0227220 | − | 0.00667177i | ||||
\(259\) | 10.0102 | − | 16.8364i | 0.622005 | − | 1.04616i | ||||
\(260\) | −4.97316 | − | 4.30927i | −0.308422 | − | 0.267249i | ||||
\(261\) | −0.266540 | + | 1.85382i | −0.0164984 | + | 0.114749i | ||||
\(262\) | −1.50606 | − | 5.12916i | −0.0930445 | − | 0.316880i | ||||
\(263\) | −4.71585 | + | 4.08631i | −0.290792 | + | 0.251972i | −0.788023 | − | 0.615645i | \(-0.788895\pi\) |
0.497232 | + | 0.867618i | \(0.334350\pi\) | |||||||
\(264\) | 4.00949 | − | 2.57674i | 0.246767 | − | 0.158587i | ||||
\(265\) | −1.08151 | − | 1.68286i | −0.0664364 | − | 0.103377i | ||||
\(266\) | −3.23692 | + | 2.24307i | −0.198469 | + | 0.137532i | ||||
\(267\) | 3.29364 | + | 11.2171i | 0.201567 | + | 0.686476i | ||||
\(268\) | 19.6914 | + | 2.83119i | 1.20284 | + | 0.172942i | ||||
\(269\) | −9.73091 | − | 8.43188i | −0.593304 | − | 0.514101i | 0.305650 | − | 0.952144i | \(-0.401126\pi\) |
−0.898954 | + | 0.438043i | \(0.855672\pi\) | |||||||
\(270\) | 0.266287 | + | 0.121609i | 0.0162057 | + | 0.00740090i | ||||
\(271\) | 0.363936 | − | 1.23945i | 0.0221076 | − | 0.0752915i | −0.947700 | − | 0.319161i | \(-0.896599\pi\) |
0.969808 | + | 0.243870i | \(0.0784170\pi\) | |||||||
\(272\) | 7.80421 | + | 17.0888i | 0.473199 | + | 1.03616i | ||||
\(273\) | −8.33049 | + | 0.289935i | −0.504184 | + | 0.0175477i | ||||
\(274\) | 0.410097 | − | 0.638124i | 0.0247749 | − | 0.0385505i | ||||
\(275\) | − | 17.1888i | − | 1.03652i | ||||||
\(276\) | −7.47281 | + | 5.43767i | −0.449810 | + | 0.327309i | ||||
\(277\) | 12.3157 | 0.739977 | 0.369988 | − | 0.929036i | \(-0.379362\pi\) | ||||
0.369988 | + | 0.929036i | \(0.379362\pi\) | |||||||
\(278\) | 1.68218 | − | 2.61753i | 0.100891 | − | 0.156989i | ||||
\(279\) | 6.66165 | − | 0.957801i | 0.398823 | − | 0.0573421i | ||||
\(280\) | −2.88681 | + | 0.957905i | −0.172520 | + | 0.0572458i | ||||
\(281\) | −6.69105 | + | 22.7876i | −0.399155 | + | 1.35940i | 0.477650 | + | 0.878550i | \(0.341489\pi\) |
−0.876805 | + | 0.480846i | \(0.840329\pi\) | |||||||
\(282\) | 0.125610 | − | 0.275047i | 0.00747995 | − | 0.0163788i | ||||
\(283\) | 6.30384 | − | 7.27502i | 0.374724 | − | 0.432455i | −0.536795 | − | 0.843713i | \(-0.680365\pi\) |
0.911519 | + | 0.411258i | \(0.134911\pi\) | |||||||
\(284\) | 2.79619 | − | 19.4479i | 0.165923 | − | 1.15402i | ||||
\(285\) | −1.68287 | − | 5.73132i | −0.0996845 | − | 0.339494i | ||||
\(286\) | 2.50397 | + | 2.88973i | 0.148063 | + | 0.170873i | ||||
\(287\) | 26.1792 | − | 13.0746i | 1.54531 | − | 0.771769i | ||||
\(288\) | −2.59517 | + | 1.66782i | −0.152922 | + | 0.0982771i | ||||
\(289\) | −7.02595 | − | 8.10838i | −0.413291 | − | 0.476963i | ||||
\(290\) | −0.526063 | + | 0.154466i | −0.0308915 | + | 0.00907056i | ||||
\(291\) | 7.93786 | + | 1.14129i | 0.465326 | + | 0.0669037i | ||||
\(292\) | −20.1425 | − | 17.4536i | −1.17875 | − | 1.02139i | ||||
\(293\) | −0.898909 | + | 1.96834i | −0.0525148 | + | 0.114991i | −0.934071 | − | 0.357089i | \(-0.883769\pi\) |
0.881556 | + | 0.472080i | \(0.156497\pi\) | |||||||
\(294\) | −0.909098 | + | 1.65771i | −0.0530197 | + | 0.0966797i | ||||
\(295\) | 12.5610 | − | 5.73642i | 0.731330 | − | 0.333987i | ||||
\(296\) | 7.77250 | − | 1.11752i | 0.451767 | − | 0.0649543i | ||||
\(297\) | 3.78020 | + | 2.42939i | 0.219349 | + | 0.140967i | ||||
\(298\) | − | 3.13455i | − | 0.181579i | ||||||
\(299\) | −10.5383 | − | 10.8278i | −0.609443 | − | 0.626185i | ||||
\(300\) | 7.37141i | 0.425589i | ||||||||
\(301\) | 2.89917 | + | 2.34066i | 0.167106 | + | 0.134913i | ||||
\(302\) | −0.334454 | − | 2.32618i | −0.0192457 | − | 0.133857i | ||||
\(303\) | 3.99173 | + | 8.74068i | 0.229319 | + | 0.502139i | ||||
\(304\) | 18.8651 | + | 5.53928i | 1.08199 | + | 0.317700i | ||||
\(305\) | −5.25570 | + | 11.5084i | −0.300940 | + | 0.658968i | ||||
\(306\) | 0.931371 | − | 1.07486i | 0.0532430 | − | 0.0614457i | ||||
\(307\) | 16.5084 | + | 2.37356i | 0.942187 | + | 0.135466i | 0.596256 | − | 0.802794i | \(-0.296654\pi\) |
0.345931 | + | 0.938260i | \(0.387563\pi\) | |||||||
\(308\) | −22.5499 | + | 4.04728i | −1.28490 | + | 0.230615i | ||||
\(309\) | −7.53297 | + | 6.52735i | −0.428536 | + | 0.371328i | ||||
\(310\) | 1.06517 | + | 1.65744i | 0.0604975 | + | 0.0941360i | ||||
\(311\) | −8.90159 | − | 13.8511i | −0.504763 | − | 0.785426i | 0.491584 | − | 0.870830i | \(-0.336418\pi\) |
−0.996346 | + | 0.0854041i | \(0.972782\pi\) | |||||||
\(312\) | −2.18830 | − | 2.52544i | −0.123888 | − | 0.142975i | ||||
\(313\) | −32.5568 | + | 9.55955i | −1.84022 | + | 0.540338i | −0.999998 | − | 0.00190234i | \(-0.999394\pi\) |
−0.840224 | + | 0.542240i | \(0.817576\pi\) | |||||||
\(314\) | −0.686392 | + | 4.77396i | −0.0387353 | + | 0.269410i | ||||
\(315\) | −1.95216 | − | 2.10059i | −0.109992 | − | 0.118355i | ||||
\(316\) | 15.4709 | + | 7.06533i | 0.870307 | + | 0.397456i | ||||
\(317\) | 3.56166 | + | 1.04580i | 0.200043 | + | 0.0587378i | 0.380219 | − | 0.924897i | \(-0.375849\pi\) |
−0.180176 | + | 0.983634i | \(0.557667\pi\) | |||||||
\(318\) | −0.207078 | − | 0.453437i | −0.0116123 | − | 0.0254275i | ||||
\(319\) | −8.33022 | + | 1.19770i | −0.466403 | + | 0.0670586i | ||||
\(320\) | 5.74628 | + | 3.69291i | 0.321227 | + | 0.206440i | ||||
\(321\) | −5.62042 | −0.313701 | ||||||||
\(322\) | −3.33250 | + | 0.799434i | −0.185713 | + | 0.0445507i | ||||
\(323\) | −29.0204 | −1.61474 | ||||||||
\(324\) | −1.62114 | − | 1.04184i | −0.0900633 | − | 0.0578802i | ||||
\(325\) | −11.9288 | + | 1.71511i | −0.661693 | + | 0.0951371i | ||||
\(326\) | −2.55159 | − | 5.58721i | −0.141320 | − | 0.309447i | ||||
\(327\) | −2.97489 | − | 0.873506i | −0.164512 | − | 0.0483050i | ||||
\(328\) | 10.6709 | + | 4.87325i | 0.589204 | + | 0.269080i | ||||
\(329\) | −2.16970 | + | 2.01638i | −0.119619 | + | 0.111166i | ||||
\(330\) | −0.187207 | + | 1.30205i | −0.0103054 | + | 0.0716757i | ||||
\(331\) | −4.66719 | + | 1.37041i | −0.256532 | + | 0.0753246i | −0.407470 | − | 0.913219i | \(-0.633589\pi\) |
0.150938 | + | 0.988543i | \(0.451771\pi\) | |||||||
\(332\) | −0.915072 | − | 1.05605i | −0.0502211 | − | 0.0579582i | ||||
\(333\) | 4.00256 | + | 6.22811i | 0.219339 | + | 0.341298i | ||||
\(334\) | 1.24190 | + | 1.93243i | 0.0679535 | + | 0.105738i | ||||
\(335\) | −8.45630 | + | 7.32742i | −0.462017 | + | 0.400340i | ||||
\(336\) | 9.29061 | − | 1.66748i | 0.506844 | − | 0.0909687i | ||||
\(337\) | −1.60868 | − | 0.231293i | −0.0876302 | − | 0.0125993i | 0.0983602 | − | 0.995151i | \(-0.468640\pi\) |
−0.185990 | + | 0.982552i | \(0.559549\pi\) | |||||||
\(338\) | −0.543724 | + | 0.627491i | −0.0295747 | + | 0.0341310i | ||||
\(339\) | 3.67013 | − | 8.03645i | 0.199334 | − | 0.436480i | ||||
\(340\) | −10.5531 | − | 3.09866i | −0.572320 | − | 0.168048i | ||||
\(341\) | 12.5631 | + | 27.5093i | 0.680328 | + | 1.48971i | ||||
\(342\) | −0.211833 | − | 1.47333i | −0.0114546 | − | 0.0796687i | ||||
\(343\) | 14.4523 | − | 11.5815i | 0.780351 | − | 0.625341i | ||||
\(344\) | 1.49376i | 0.0805381i | ||||||||
\(345\) | 0.441036 | − | 5.17931i | 0.0237446 | − | 0.278845i | ||||
\(346\) | 2.62707i | 0.141232i | ||||||||
\(347\) | 18.0057 | + | 11.5716i | 0.966598 | + | 0.621195i | 0.925816 | − | 0.377974i | \(-0.123379\pi\) |
0.0407812 | + | 0.999168i | \(0.487015\pi\) | |||||||
\(348\) | 3.57241 | − | 0.513636i | 0.191502 | − | 0.0275338i | ||||
\(349\) | −23.7180 | + | 10.8316i | −1.26959 | + | 0.579804i | −0.932331 | − | 0.361607i | \(-0.882228\pi\) |
−0.337262 | + | 0.941411i | \(0.609501\pi\) | |||||||
\(350\) | −1.04835 | + | 2.52444i | −0.0560366 | + | 0.134937i | ||||
\(351\) | 1.30878 | − | 2.86583i | 0.0698575 | − | 0.152967i | ||||
\(352\) | −10.4762 | − | 9.07771i | −0.558385 | − | 0.483844i | ||||
\(353\) | 13.1611 | + | 1.89228i | 0.700495 | + | 0.100716i | 0.483355 | − | 0.875424i | \(-0.339418\pi\) |
0.217140 | + | 0.976140i | \(0.430327\pi\) | |||||||
\(354\) | 3.30165 | − | 0.969452i | 0.175481 | − | 0.0515258i | ||||
\(355\) | 7.23684 | + | 8.35175i | 0.384091 | + | 0.443265i | ||||
\(356\) | 18.9522 | − | 12.1798i | 1.00446 | − | 0.645530i | ||||
\(357\) | −12.4641 | + | 6.22489i | −0.659669 | + | 0.329456i | ||||
\(358\) | 3.99878 | + | 4.61484i | 0.211342 | + | 0.243902i | ||||
\(359\) | 4.06200 | + | 13.8339i | 0.214384 | + | 0.730125i | 0.994523 | + | 0.104518i | \(0.0333301\pi\) |
−0.780139 | + | 0.625606i | \(0.784852\pi\) | |||||||
\(360\) | 0.163607 | − | 1.13791i | 0.00862283 | − | 0.0599731i | ||||
\(361\) | −7.44704 | + | 8.59434i | −0.391950 | + | 0.452334i | ||||
\(362\) | 1.13469 | − | 2.48463i | 0.0596382 | − | 0.130589i | ||||
\(363\) | −2.58964 | + | 8.81950i | −0.135921 | + | 0.462904i | ||||
\(364\) | 5.05882 | + | 15.2456i | 0.265154 | + | 0.799087i | ||||
\(365\) | 14.8380 | − | 2.13338i | 0.776657 | − | 0.111666i | ||||
\(366\) | −1.70446 | + | 2.65220i | −0.0890937 | + | 0.138633i | ||||
\(367\) | −5.90645 | −0.308314 | −0.154157 | − | 0.988046i | \(-0.549266\pi\) | ||||
−0.154157 | + | 0.988046i | \(0.549266\pi\) | |||||||
\(368\) | 13.5569 | + | 10.4381i | 0.706702 | + | 0.544125i | ||||
\(369\) | 11.0602i | 0.575770i | ||||||||
\(370\) | −1.17172 | + | 1.82323i | −0.0609147 | + | 0.0947851i | ||||
\(371\) | 0.169848 | + | 4.88011i | 0.00881807 | + | 0.253363i | ||||
\(372\) | −5.38767 | − | 11.7973i | −0.279338 | − | 0.611664i | ||||
\(373\) | 1.94395 | − | 6.62049i | 0.100654 | − | 0.342796i | −0.893733 | − | 0.448599i | \(-0.851923\pi\) |
0.994387 | + | 0.105803i | \(0.0337413\pi\) | |||||||
\(374\) | 5.81336 | + | 2.65487i | 0.300602 | + | 0.137280i | ||||
\(375\) | −7.22904 | − | 6.26400i | −0.373306 | − | 0.323472i | ||||
\(376\) | −1.17534 | − | 0.168989i | −0.0606137 | − | 0.00871494i | ||||
\(377\) | 1.66239 | + | 5.66158i | 0.0856175 | + | 0.291586i | ||||
\(378\) | −0.407012 | − | 0.587349i | −0.0209345 | − | 0.0302100i | ||||
\(379\) | 2.26030 | + | 3.51710i | 0.116104 | + | 0.180661i | 0.894442 | − | 0.447185i | \(-0.147573\pi\) |
−0.778338 | + | 0.627846i | \(0.783937\pi\) | |||||||
\(380\) | −9.68353 | + | 6.22322i | −0.496754 | + | 0.319245i | ||||
\(381\) | −6.67096 | + | 5.78042i | −0.341763 | + | 0.296140i | ||||
\(382\) | 1.45732 | + | 4.96319i | 0.0745632 | + | 0.253939i | ||||
\(383\) | −5.18273 | + | 36.0467i | −0.264825 | + | 1.84190i | 0.230353 | + | 0.973107i | \(0.426012\pi\) |
−0.495178 | + | 0.868792i | \(0.664897\pi\) | |||||||
\(384\) | 5.94919 | + | 5.15500i | 0.303593 | + | 0.263065i | ||||
\(385\) | 6.58535 | − | 11.0760i | 0.335621 | − | 0.564488i | ||||
\(386\) | 1.15119 | + | 0.338020i | 0.0585940 | + | 0.0172048i | ||||
\(387\) | −1.28107 | + | 0.585044i | −0.0651203 | + | 0.0297395i | ||||
\(388\) | −2.19933 | − | 15.2967i | −0.111654 | − | 0.776571i | ||||
\(389\) | −0.566956 | + | 0.882200i | −0.0287458 | + | 0.0447293i | −0.855329 | − | 0.518085i | \(-0.826645\pi\) |
0.826583 | + | 0.562814i | \(0.190281\pi\) | |||||||
\(390\) | 0.922293 | 0.0467021 | ||||||||
\(391\) | −23.5400 | − | 9.14514i | −1.19047 | − | 0.462489i | ||||
\(392\) | 7.25203 | + | 1.59141i | 0.366283 | + | 0.0803782i | ||||
\(393\) | −16.6504 | − | 10.7005i | −0.839900 | − | 0.539771i | ||||
\(394\) | −0.0734928 | − | 0.511154i | −0.00370252 | − | 0.0257516i | ||||
\(395\) | −8.70161 | + | 3.97389i | −0.437826 | + | 0.199948i | ||||
\(396\) | 2.43960 | − | 8.30851i | 0.122594 | − | 0.417518i | ||||
\(397\) | 2.14138 | + | 0.977934i | 0.107473 | + | 0.0490811i | 0.468426 | − | 0.883503i | \(-0.344821\pi\) |
−0.360953 | + | 0.932584i | \(0.617549\pi\) | |||||||
\(398\) | −1.60436 | + | 1.85153i | −0.0804194 | + | 0.0928089i | ||||
\(399\) | −3.61881 | + | 14.1247i | −0.181167 | + | 0.707121i | ||||
\(400\) | 13.0942 | − | 3.84481i | 0.654710 | − | 0.192240i | ||||
\(401\) | 16.9334 | − | 14.6729i | 0.845614 | − | 0.732728i | −0.119982 | − | 0.992776i | \(-0.538284\pi\) |
0.965596 | + | 0.260048i | \(0.0837383\pi\) | |||||||
\(402\) | −2.34563 | + | 1.50745i | −0.116990 | + | 0.0751846i | ||||
\(403\) | 17.8376 | − | 11.4635i | 0.888554 | − | 0.571039i | ||||
\(404\) | 13.9943 | − | 12.1261i | 0.696242 | − | 0.603297i | ||||
\(405\) | 1.03996 | − | 0.305361i | 0.0516763 | − | 0.0151735i | ||||
\(406\) | 1.29647 | + | 0.332161i | 0.0643428 | + | 0.0164849i | ||||
\(407\) | −21.7854 | + | 25.1417i | −1.07986 | + | 1.24623i | ||||
\(408\) | −5.08050 | − | 2.32019i | −0.251522 | − | 0.114866i | ||||
\(409\) | −1.29893 | + | 4.42376i | −0.0642281 | + | 0.218741i | −0.985353 | − | 0.170526i | \(-0.945453\pi\) |
0.921125 | + | 0.389267i | \(0.127272\pi\) | |||||||
\(410\) | −2.94519 | + | 1.34502i | −0.145452 | + | 0.0664259i | ||||
\(411\) | −0.399688 | − | 2.77989i | −0.0197151 | − | 0.137122i | ||||
\(412\) | 16.1588 | + | 10.3846i | 0.796086 | + | 0.511613i | ||||
\(413\) | −33.5114 | − | 3.63369i | −1.64899 | − | 0.178802i | ||||
\(414\) | 0.292459 | − | 1.26185i | 0.0143736 | − | 0.0620168i | ||||
\(415\) | 0.785941 | 0.0385803 | ||||||||
\(416\) | −5.25452 | + | 8.17619i | −0.257624 | + | 0.400871i | ||||
\(417\) | −1.63948 | − | 11.4029i | −0.0802858 | − | 0.558400i | ||||
\(418\) | 6.08412 | − | 2.77852i | 0.297584 | − | 0.135902i | ||||
\(419\) | −22.6903 | − | 6.66248i | −1.10849 | − | 0.325483i | −0.324273 | − | 0.945964i | \(-0.605120\pi\) |
−0.784222 | + | 0.620480i | \(0.786938\pi\) | |||||||
\(420\) | −2.82413 | + | 4.74996i | −0.137803 | + | 0.231774i | ||||
\(421\) | 0.466757 | + | 0.404448i | 0.0227484 | + | 0.0197116i | 0.666161 | − | 0.745808i | \(-0.267936\pi\) |
−0.643412 | + | 0.765520i | \(0.722482\pi\) | |||||||
\(422\) | 0.728078 | − | 5.06390i | 0.0354423 | − | 0.246507i | ||||
\(423\) | −0.315407 | − | 1.07418i | −0.0153356 | − | 0.0522282i | ||||
\(424\) | −1.47943 | + | 1.28194i | −0.0718477 | + | 0.0622564i | ||||
\(425\) | −16.9454 | + | 10.8901i | −0.821970 | + | 0.528248i | ||||
\(426\) | 1.48881 | + | 2.31663i | 0.0721331 | + | 0.112241i | ||||
\(427\) | 25.3840 | − | 17.5902i | 1.22842 | − | 0.851250i | ||||
\(428\) | 3.05140 | + | 10.3921i | 0.147495 | + | 0.502322i | ||||
\(429\) | 14.0129 | + | 2.01476i | 0.676551 | + | 0.0972733i | ||||
\(430\) | −0.311579 | − | 0.269985i | −0.0150257 | − | 0.0130198i | ||||
\(431\) | 9.67073 | + | 4.41648i | 0.465823 | + | 0.212734i | 0.634478 | − | 0.772941i | \(-0.281215\pi\) |
−0.168655 | + | 0.985675i | \(0.553942\pi\) | |||||||
\(432\) | −1.00512 | + | 3.42312i | −0.0483588 | + | 0.164695i | ||||
\(433\) | 7.20625 | + | 15.7795i | 0.346310 | + | 0.758314i | 0.999999 | + | 0.00154997i | \(0.000493372\pi\) |
−0.653689 | + | 0.756764i | \(0.726779\pi\) | |||||||
\(434\) | −0.167282 | − | 4.80639i | −0.00802980 | − | 0.230714i | ||||
\(435\) | −1.09748 | + | 1.70772i | −0.0526202 | + | 0.0818787i | ||||
\(436\) | 5.97479i | 0.286140i | ||||||||
\(437\) | −23.3667 | + | 12.3512i | −1.11778 | + | 0.590838i | ||||
\(438\) | 3.73550 | 0.178489 | ||||||||
\(439\) | 7.28174 | − | 11.3306i | 0.347538 | − | 0.540780i | −0.622847 | − | 0.782344i | \(-0.714024\pi\) |
0.970385 | + | 0.241564i | \(0.0776603\pi\) | |||||||
\(440\) | 5.11324 | − | 0.735172i | 0.243764 | − | 0.0350480i | ||||
\(441\) | 1.47551 | + | 6.84272i | 0.0702623 | + | 0.325844i | ||||
\(442\) | 1.26240 | − | 4.29932i | 0.0600460 | − | 0.204498i | ||||
\(443\) | −2.45335 | + | 5.37209i | −0.116562 | + | 0.255236i | −0.958916 | − | 0.283689i | \(-0.908442\pi\) |
0.842354 | + | 0.538924i | \(0.181169\pi\) | |||||||
\(444\) | 9.34269 | − | 10.7820i | 0.443384 | − | 0.511693i | ||||
\(445\) | −1.80329 | + | 12.5422i | −0.0854843 | + | 0.594556i | ||||
\(446\) | −1.70690 | − | 5.81317i | −0.0808241 | − | 0.275262i | ||||
\(447\) | −7.60005 | − | 8.77092i | −0.359470 | − | 0.414850i | ||||
\(448\) | −7.44987 | − | 14.9168i | −0.351973 | − | 0.704754i | ||||
\(449\) | 8.93655 | − | 5.74317i | 0.421742 | − | 0.271037i | −0.312510 | − | 0.949915i | \(-0.601170\pi\) |
0.734252 | + | 0.678877i | \(0.237533\pi\) | |||||||
\(450\) | −0.676572 | − | 0.780805i | −0.0318939 | − | 0.0368075i | ||||
\(451\) | −47.6861 | + | 14.0019i | −2.24545 | + | 0.659324i | ||||
\(452\) | −16.8519 | − | 2.42294i | −0.792647 | − | 0.113965i | ||||
\(453\) | −6.57593 | − | 5.69807i | −0.308964 | − | 0.267719i | ||||
\(454\) | 1.19700 | − | 2.62106i | 0.0561780 | − | 0.123013i | ||||
\(455\) | −8.34376 | − | 3.46500i | −0.391161 | − | 0.162441i | ||||
\(456\) | −5.31712 | + | 2.42825i | −0.248997 | + | 0.113713i | ||||
\(457\) | −32.2218 | + | 4.63280i | −1.50727 | + | 0.216713i | −0.845899 | − | 0.533344i | \(-0.820935\pi\) |
−0.661374 | + | 0.750057i | \(0.730026\pi\) | |||||||
\(458\) | −0.795095 | − | 0.510976i | −0.0371523 | − | 0.0238764i | ||||
\(459\) | − | 5.26583i | − | 0.245788i | ||||||
\(460\) | −9.81595 | + | 1.99644i | −0.457671 | + | 0.0930847i | ||||
\(461\) | − | 4.03455i | − | 0.187908i | −0.995577 | − | 0.0939540i | \(-0.970049\pi\) | ||
0.995577 | − | 0.0939540i | \(-0.0299507\pi\) | |||||||
\(462\) | 2.01710 | − | 2.49841i | 0.0938438 | − | 0.116236i | ||||
\(463\) | −4.02965 | − | 28.0268i | −0.187274 | − | 1.30252i | −0.839028 | − | 0.544088i | \(-0.816876\pi\) |
0.651755 | − | 0.758430i | \(-0.274033\pi\) | |||||||
\(464\) | −2.77571 | − | 6.07795i | −0.128859 | − | 0.282162i | ||||
\(465\) | 6.99913 | + | 2.05513i | 0.324577 | + | 0.0953043i | ||||
\(466\) | −1.39581 | + | 3.05639i | −0.0646594 | + | 0.141584i | ||||
\(467\) | 2.48941 | − | 2.87293i | 0.115196 | − | 0.132943i | −0.695223 | − | 0.718795i | \(-0.744694\pi\) |
0.810419 | + | 0.585851i | \(0.199240\pi\) | |||||||
\(468\) | −6.00945 | − | 0.864028i | −0.277787 | − | 0.0399397i | ||||
\(469\) | 26.8837 | − | 4.82511i | 1.24138 | − | 0.222803i | ||||
\(470\) | 0.247683 | − | 0.214619i | 0.0114248 | − | 0.00989961i | ||||
\(471\) | 9.65436 | + | 15.0225i | 0.444849 | + | 0.692199i | ||||
\(472\) | −7.30575 | − | 11.3680i | −0.336274 | − | 0.523253i | ||||
\(473\) | −4.14422 | − | 4.78269i | −0.190552 | − | 0.219908i | ||||
\(474\) | −2.28721 | + | 0.671586i | −0.105055 | + | 0.0308470i | ||||
\(475\) | −3.00016 | + | 20.8665i | −0.137657 | + | 0.957422i | ||||
\(476\) | 18.2767 | + | 19.6664i | 0.837711 | + | 0.901408i | ||||
\(477\) | −1.67884 | − | 0.766701i | −0.0768688 | − | 0.0351048i | ||||
\(478\) | −2.96093 | − | 0.869409i | −0.135430 | − | 0.0397658i | ||||
\(479\) | −4.15124 | − | 9.08995i | −0.189675 | − | 0.415330i | 0.790773 | − | 0.612110i | \(-0.209679\pi\) |
−0.980448 | + | 0.196780i | \(0.936952\pi\) | |||||||
\(480\) | −3.30958 | + | 0.475846i | −0.151061 | + | 0.0217193i | ||||
\(481\) | 19.6219 | + | 12.6102i | 0.894681 | + | 0.574977i | ||||
\(482\) | 5.13272 | 0.233789 | ||||||||
\(483\) | −7.38652 | + | 10.3169i | −0.336098 | + | 0.469437i | ||||
\(484\) | 17.7131 | 0.805143 | ||||||||
\(485\) | 7.31224 | + | 4.69929i | 0.332032 | + | 0.213384i | ||||
\(486\) | 0.267340 | − | 0.0384377i | 0.0121268 | − | 0.00174357i | ||||
\(487\) | 8.16380 | + | 17.8762i | 0.369937 | + | 0.810049i | 0.999453 | + | 0.0330617i | \(0.0105258\pi\) |
−0.629516 | + | 0.776987i | \(0.716747\pi\) | |||||||
\(488\) | 11.8792 | + | 3.48805i | 0.537746 | + | 0.157897i | ||||
\(489\) | −20.6865 | − | 9.44722i | −0.935477 | − | 0.427218i | ||||
\(490\) | −1.64269 | + | 1.22505i | −0.0742093 | + | 0.0553420i | ||||
\(491\) | 4.89665 | − | 34.0570i | 0.220983 | − | 1.53697i | −0.513350 | − | 0.858180i | \(-0.671596\pi\) |
0.734333 | − | 0.678790i | \(-0.237495\pi\) | |||||||
\(492\) | 20.4502 | − | 6.00472i | 0.921967 | − | 0.270714i | ||||
\(493\) | 6.45843 | + | 7.45343i | 0.290873 | + | 0.335685i | ||||
\(494\) | −2.53534 | − | 3.94507i | −0.114071 | − | 0.177497i | ||||
\(495\) | 2.63314 | + | 4.09724i | 0.118351 | + | 0.184157i | ||||
\(496\) | −18.1461 | + | 15.7237i | −0.814784 | + | 0.706014i | ||||
\(497\) | −4.76546 | − | 26.5514i | −0.213760 | − | 1.19099i | ||||
\(498\) | 0.193855 | + | 0.0278722i | 0.00868686 | + | 0.00124898i | ||||
\(499\) | 8.97398 | − | 10.3565i | 0.401731 | − | 0.463622i | −0.518455 | − | 0.855105i | \(-0.673492\pi\) |
0.920185 | + | 0.391483i | \(0.128038\pi\) | |||||||
\(500\) | −7.65735 | + | 16.7673i | −0.342447 | + | 0.749854i | ||||
\(501\) | 8.16038 | + | 2.39610i | 0.364579 | + | 0.107050i | ||||
\(502\) | −1.16368 | − | 2.54811i | −0.0519377 | − | 0.113728i | ||||
\(503\) | −3.88849 | − | 27.0450i | −0.173379 | − | 1.20588i | −0.871681 | − | 0.490074i | \(-0.836970\pi\) |
0.698302 | − | 0.715804i | \(-0.253939\pi\) | |||||||
\(504\) | −1.76281 | + | 2.18344i | −0.0785218 | + | 0.0972583i | ||||
\(505\) | 10.4149i | 0.463458i | ||||||||
\(506\) | 5.81075 | − | 0.336534i | 0.258319 | − | 0.0149608i | ||||
\(507\) | 3.07413i | 0.136527i | ||||||||
\(508\) | 14.3097 | + | 9.19628i | 0.634890 | + | 0.408019i | ||||
\(509\) | 2.11143 | − | 0.303578i | 0.0935875 | − | 0.0134558i | −0.0953620 | − | 0.995443i | \(-0.530401\pi\) |
0.188949 | + | 0.981987i | \(0.439492\pi\) | |||||||
\(510\) | 1.40222 | − | 0.640373i | 0.0620914 | − | 0.0283562i | ||||
\(511\) | −33.7942 | − | 14.0341i | −1.49497 | − | 0.620830i | ||||
\(512\) | 7.71584 | − | 16.8953i | 0.340995 | − | 0.746675i | ||||
\(513\) | −4.16499 | − | 3.60899i | −0.183889 | − | 0.159341i | ||||
\(514\) | 7.34085 | + | 1.05546i | 0.323791 | + | 0.0465541i | ||||
\(515\) | −10.3659 | + | 3.04370i | −0.456776 | + | 0.134122i | ||||
\(516\) | 1.77725 | + | 2.05106i | 0.0782391 | + | 0.0902928i | ||||
\(517\) | 4.23203 | − | 2.71976i | 0.186124 | − | 0.119615i | ||||
\(518\) | 4.73294 | − | 2.36376i | 0.207953 | − | 0.103857i | ||||
\(519\) | 6.36962 | + | 7.35093i | 0.279595 | + | 0.322670i | ||||
\(520\) | −1.02040 | − | 3.47518i | −0.0447477 | − | 0.152397i | ||||
\(521\) | −5.45094 | + | 37.9121i | −0.238810 | + | 1.66096i | 0.419158 | + | 0.907913i | \(0.362325\pi\) |
−0.657968 | + | 0.753046i | \(0.728584\pi\) | |||||||
\(522\) | −0.331259 | + | 0.382294i | −0.0144988 | + | 0.0167325i | ||||
\(523\) | −6.97867 | + | 15.2812i | −0.305156 | + | 0.668199i | −0.998632 | − | 0.0522808i | \(-0.983351\pi\) |
0.693476 | + | 0.720479i | \(0.256078\pi\) | |||||||
\(524\) | −10.7455 | + | 36.5959i | −0.469420 | + | 1.59870i | ||||
\(525\) | 3.18734 | + | 9.60559i | 0.139107 | + | 0.419222i | ||||
\(526\) | −1.66819 | + | 0.239850i | −0.0727367 | + | 0.0104580i | ||||
\(527\) | 19.1602 | − | 29.8139i | 0.834632 | − | 1.29871i | ||||
\(528\) | −16.0313 | −0.697671 | ||||||||
\(529\) | −22.8462 | + | 2.65522i | −0.993314 | + | 0.115444i | ||||
\(530\) | − | 0.540291i | − | 0.0234688i | ||||||
\(531\) | 6.88796 | − | 10.7179i | 0.298912 | − | 0.465116i | ||||
\(532\) | 28.0812 | − | 0.977342i | 1.21747 | − | 0.0423731i | ||||
\(533\) | 14.4754 | + | 31.6966i | 0.626997 | + | 1.37293i | ||||
\(534\) | −0.889577 | + | 3.02962i | −0.0384958 | + | 0.131105i | ||||
\(535\) | −5.54130 | − | 2.53063i | −0.239571 | − | 0.109409i | ||||
\(536\) | 8.27518 | + | 7.17049i | 0.357433 | + | 0.309718i | ||||
\(537\) | 22.3783 | + | 3.21752i | 0.965697 | + | 0.138846i | ||||
\(538\) | −0.979761 | − | 3.33676i | −0.0422405 | − | 0.143858i | ||||
\(539\) | −27.6345 | + | 15.0244i | −1.19030 | + | 0.647146i | ||||
\(540\) | −1.12922 | − | 1.75710i | −0.0485940 | − | 0.0756137i | ||||
\(541\) | −38.3527 | + | 24.6478i | −1.64891 | + | 1.05969i | −0.716957 | + | 0.697117i | \(0.754466\pi\) |
−0.931955 | + | 0.362574i | \(0.881898\pi\) | |||||||
\(542\) | 0.263678 | − | 0.228478i | 0.0113259 | − | 0.00981398i | ||||
\(543\) | −2.84922 | − | 9.70355i | −0.122272 | − | 0.416419i | ||||
\(544\) | −2.31183 | + | 16.0791i | −0.0991190 | + | 0.689388i | ||||
\(545\) | −2.53971 | − | 2.20067i | −0.108789 | − | 0.0942663i | ||||
\(546\) | −1.93514 | − | 1.15055i | −0.0828162 | − | 0.0492391i | ||||
\(547\) | 11.3960 | + | 3.34618i | 0.487260 | + | 0.143072i | 0.516129 | − | 0.856511i | \(-0.327372\pi\) |
−0.0288693 | + | 0.999583i | \(0.509191\pi\) | |||||||
\(548\) | −4.92300 | + | 2.24826i | −0.210300 | + | 0.0960408i | ||||
\(549\) | 1.66120 | + | 11.5539i | 0.0708982 | + | 0.493108i | ||||
\(550\) | 2.50993 | − | 3.90553i | 0.107024 | − | 0.166532i | ||||
\(551\) | 10.3216 | 0.439716 | ||||||||
\(552\) | −5.07821 | + | 0.294109i | −0.216143 | + | 0.0125181i | ||||
\(553\) | 23.2150 | + | 2.51723i | 0.987201 | + | 0.107044i | ||||
\(554\) | 2.79829 | + | 1.79835i | 0.118888 | + | 0.0764046i | ||||
\(555\) | 1.14198 | + | 7.94261i | 0.0484741 | + | 0.337145i | ||||
\(556\) | −20.1937 | + | 9.22215i | −0.856403 | + | 0.391106i | ||||
\(557\) | 1.50719 | − | 5.13302i | 0.0638617 | − | 0.217493i | −0.921380 | − | 0.388664i | \(-0.872937\pi\) |
0.985241 | + | 0.171171i | \(0.0547550\pi\) | |||||||
\(558\) | 1.65348 | + | 0.755118i | 0.0699973 | + | 0.0319667i | ||||
\(559\) | −2.90563 | + | 3.35327i | −0.122895 | + | 0.141828i | ||||
\(560\) | 9.91061 | + | 2.53914i | 0.418800 | + | 0.107298i | ||||
\(561\) | 22.7037 | − | 6.66640i | 0.958550 | − | 0.281456i | ||||
\(562\) | −4.84778 | + | 4.20063i | −0.204491 | + | 0.177193i | ||||
\(563\) | 11.6071 | − | 7.45945i | 0.489182 | − | 0.314378i | −0.272694 | − | 0.962101i | \(-0.587915\pi\) |
0.761876 | + | 0.647722i | \(0.224278\pi\) | |||||||
\(564\) | −1.81491 | + | 1.16637i | −0.0764213 | + | 0.0491130i | ||||
\(565\) | 7.23692 | − | 6.27082i | 0.304459 | − | 0.263816i | ||||
\(566\) | 2.49463 | − | 0.732488i | 0.104857 | − | 0.0307888i | ||||
\(567\) | −2.56297 | − | 0.656644i | −0.107635 | − | 0.0275764i | ||||
\(568\) | 7.08184 | − | 8.17288i | 0.297147 | − | 0.342926i | ||||
\(569\) | 21.2851 | + | 9.72056i | 0.892316 | + | 0.407507i | 0.808172 | − | 0.588946i | \(-0.200457\pi\) |
0.0841443 | + | 0.996454i | \(0.473184\pi\) | |||||||
\(570\) | 0.454525 | − | 1.54797i | 0.0190380 | − | 0.0648373i | ||||
\(571\) | −43.2169 | + | 19.7365i | −1.80857 | + | 0.825946i | −0.859309 | + | 0.511457i | \(0.829106\pi\) |
−0.949261 | + | 0.314489i | \(0.898167\pi\) | |||||||
\(572\) | −3.88254 | − | 27.0036i | −0.162337 | − | 1.12908i | ||||
\(573\) | 16.1116 | + | 10.3543i | 0.673072 | + | 0.432557i | ||||
\(574\) | 7.85744 | + | 0.851994i | 0.327963 | + | 0.0355616i | ||||
\(575\) | −9.00923 | + | 15.9806i | −0.375711 | + | 0.666435i | ||||
\(576\) | 6.30207 | 0.262586 | ||||||||
\(577\) | 7.29062 | − | 11.3444i | 0.303513 | − | 0.472275i | −0.655676 | − | 0.755043i | \(-0.727616\pi\) |
0.959188 | + | 0.282768i | \(0.0912525\pi\) | |||||||
\(578\) | −0.412395 | − | 2.86827i | −0.0171534 | − | 0.119304i | ||||
\(579\) | 4.04076 | − | 1.84535i | 0.167928 | − | 0.0766903i | ||||
\(580\) | 3.75339 | + | 1.10209i | 0.155851 | + | 0.0457620i | ||||
\(581\) | −1.64905 | − | 0.980454i | −0.0684140 | − | 0.0406761i | ||||
\(582\) | 1.63694 | + | 1.41841i | 0.0678532 | + | 0.0587952i | ||||
\(583\) | 1.18027 | − | 8.20896i | 0.0488818 | − | 0.339981i | ||||
\(584\) | −4.13288 | − | 14.0753i | −0.171020 | − | 0.582440i | ||||
\(585\) | 2.58071 | − | 2.23620i | 0.106699 | − | 0.0924554i | ||||
\(586\) | −0.491664 | + | 0.315973i | −0.0203104 | + | 0.0130527i | ||||
\(587\) | 0.327769 | + | 0.510018i | 0.0135285 | + | 0.0210507i | 0.847952 | − | 0.530073i | \(-0.177836\pi\) |
−0.834423 | + | 0.551124i | \(0.814199\pi\) | |||||||
\(588\) | 11.8511 | − | 6.44321i | 0.488730 | − | 0.265713i | ||||
\(589\) | −10.4496 | − | 35.5880i | −0.430567 | − | 1.46638i | ||||
\(590\) | 3.69167 | + | 0.530782i | 0.151984 | + | 0.0218520i | ||||
\(591\) | −1.44499 | − | 1.25209i | −0.0594390 | − | 0.0515042i | ||||
\(592\) | −24.0257 | − | 10.9722i | −0.987448 | − | 0.450953i | ||||
\(593\) | 5.35710 | − | 18.2446i | 0.219990 | − | 0.749217i | −0.773348 | − | 0.633981i | \(-0.781420\pi\) |
0.993338 | − | 0.115235i | \(-0.0367622\pi\) | |||||||
\(594\) | 0.504171 | + | 1.10398i | 0.0206864 | + | 0.0452968i | ||||
\(595\) | −15.0914 | + | 0.525243i | −0.618687 | + | 0.0215329i | ||||
\(596\) | −12.0912 | + | 18.8143i | −0.495275 | + | 0.770663i | ||||
\(597\) | 9.07080i | 0.371243i | ||||||||
\(598\) | −0.813352 | − | 3.99902i | −0.0332605 | − | 0.163532i | ||||
\(599\) | −45.3081 | −1.85124 | −0.925620 | − | 0.378453i | \(-0.876456\pi\) | ||||
−0.925620 | + | 0.378453i | \(0.876456\pi\) | |||||||
\(600\) | −2.19351 | + | 3.41317i | −0.0895498 | + | 0.139342i | ||||
\(601\) | −5.12812 | + | 0.737313i | −0.209181 | + | 0.0300756i | −0.246108 | − | 0.969242i | \(-0.579152\pi\) |
0.0369278 | + | 0.999318i | \(0.488243\pi\) | |||||||
\(602\) | 0.316946 | + | 0.955170i | 0.0129178 | + | 0.0389298i | ||||
\(603\) | −2.90846 | + | 9.90529i | −0.118441 | + | 0.403375i | ||||
\(604\) | −6.96554 | + | 15.2524i | −0.283424 | + | 0.620611i | ||||
\(605\) | −6.52421 | + | 7.52934i | −0.265247 | + | 0.306111i | ||||
\(606\) | −0.369349 | + | 2.56888i | −0.0150038 | + | 0.104354i | ||||
\(607\) | −3.79079 | − | 12.9103i | −0.153864 | − | 0.524011i | 0.846096 | − | 0.533031i | \(-0.178947\pi\) |
−0.999959 | + | 0.00901974i | \(0.997129\pi\) | |||||||
\(608\) | 11.1333 | + | 12.8485i | 0.451516 | + | 0.521077i | ||||
\(609\) | 4.43308 | − | 2.21400i | 0.179637 | − | 0.0897157i | ||||
\(610\) | −2.87463 | + | 1.84742i | −0.116391 | + | 0.0747997i | ||||
\(611\) | −2.30976 | − | 2.66561i | −0.0934429 | − | 0.107839i | ||||
\(612\) | −9.73647 | + | 2.85889i | −0.393574 | + | 0.115564i | ||||
\(613\) | 7.30054 | + | 1.04966i | 0.294866 | + | 0.0423953i | 0.288160 | − | 0.957582i | \(-0.406956\pi\) |
0.00670569 | + | 0.999978i | \(0.497865\pi\) | |||||||
\(614\) | 3.40435 | + | 2.94989i | 0.137389 | + | 0.119048i | ||||
\(615\) | −4.97991 | + | 10.9045i | −0.200809 | + | 0.439711i | ||||
\(616\) | −11.6456 | − | 4.83619i | −0.469215 | − | 0.194856i | ||||
\(617\) | 33.3461 | − | 15.2286i | 1.34246 | − | 0.613082i | 0.390871 | − | 0.920446i | \(-0.372174\pi\) |
0.951592 | + | 0.307363i | \(0.0994467\pi\) | |||||||
\(618\) | −2.66473 | + | 0.383130i | −0.107191 | + | 0.0154117i | ||||
\(619\) | −11.1866 | − | 7.18916i | −0.449626 | − | 0.288957i | 0.296166 | − | 0.955137i | \(-0.404292\pi\) |
−0.745791 | + | 0.666180i | \(0.767928\pi\) | |||||||
\(620\) | − | 14.0571i | − | 0.564546i | ||||||
\(621\) | −2.24116 | − | 4.23995i | −0.0899346 | − | 0.170143i | ||||
\(622\) | − | 4.44699i | − | 0.178308i | ||||||
\(623\) | 19.4299 | − | 24.0662i | 0.778442 | − | 0.964191i | ||||
\(624\) | 1.59961 | + | 11.1255i | 0.0640357 | + | 0.445378i | ||||
\(625\) | 3.63841 | + | 7.96701i | 0.145537 | + | 0.318681i | ||||
\(626\) | −8.79326 | − | 2.58193i | −0.351449 | − | 0.103195i | ||||
\(627\) | 10.2874 | − | 22.5263i | 0.410840 | − | 0.899614i | ||||
\(628\) | 22.5350 | − | 26.0067i | 0.899243 | − | 1.03778i | ||||
\(629\) | 38.5881 | + | 5.54812i | 1.53861 | + | 0.221218i | ||||
\(630\) | −0.136825 | − | 0.762340i | −0.00545125 | − | 0.0303724i | ||||
\(631\) | 5.37572 | − | 4.65809i | 0.214004 | − | 0.185435i | −0.541262 | − | 0.840854i | \(-0.682053\pi\) |
0.755266 | + | 0.655419i | \(0.227508\pi\) | |||||||
\(632\) | 5.06104 | + | 7.87514i | 0.201318 | + | 0.313256i | ||||
\(633\) | −10.2407 | − | 15.9348i | −0.407031 | − | 0.633353i | ||||
\(634\) | 0.656549 | + | 0.757698i | 0.0260749 | + | 0.0300920i | ||||
\(635\) | −9.17971 | + | 2.69541i | −0.364286 | + | 0.106964i | ||||
\(636\) | −0.506159 | + | 3.52041i | −0.0200705 | + | 0.139594i | ||||
\(637\) | 13.1842 | + | 17.6790i | 0.522376 | + | 0.700466i | ||||
\(638\) | −2.06763 | − | 0.944255i | −0.0818582 | − | 0.0373834i | ||||
\(639\) | 9.78283 | + | 2.87250i | 0.387003 | + | 0.113634i | ||||
\(640\) | 3.54437 | + | 7.76108i | 0.140103 | + | 0.306784i | ||||
\(641\) | 25.9394 | − | 3.72952i | 1.02454 | − | 0.147307i | 0.390499 | − | 0.920603i | \(-0.372302\pi\) |
0.634045 | + | 0.773296i | \(0.281393\pi\) | |||||||
\(642\) | −1.27704 | − | 0.820702i | −0.0504006 | − | 0.0323905i | ||||
\(643\) | −18.8578 | −0.743678 | −0.371839 | − | 0.928297i | \(-0.621273\pi\) | ||||
−0.371839 | + | 0.928297i | \(0.621273\pi\) | |||||||
\(644\) | 23.0862 | + | 8.05641i | 0.909723 | + | 0.317467i | ||||
\(645\) | −1.52645 | −0.0601040 | ||||||||
\(646\) | −6.59382 | − | 4.23759i | −0.259430 | − | 0.166726i | ||||
\(647\) | 13.4429 | − | 1.93280i | 0.528496 | − | 0.0759863i | 0.127098 | − | 0.991890i | \(-0.459434\pi\) |
0.401398 | + | 0.915904i | \(0.368525\pi\) | |||||||
\(648\) | −0.440612 | − | 0.964806i | −0.0173089 | − | 0.0379011i | ||||
\(649\) | 54.9302 | + | 16.1290i | 2.15620 | + | 0.633117i | ||||
\(650\) | −2.96084 | − | 1.35217i | −0.116134 | − | 0.0530365i | ||||
\(651\) | −12.1217 | − | 13.0434i | −0.475086 | − | 0.511211i | ||||
\(652\) | −6.23685 | + | 43.3783i | −0.244254 | + | 1.69882i | ||||
\(653\) | −17.4593 | + | 5.12651i | −0.683235 | + | 0.200616i | −0.604888 | − | 0.796310i | \(-0.706782\pi\) |
−0.0783464 | + | 0.996926i | \(0.524964\pi\) | |||||||
\(654\) | −0.548385 | − | 0.632870i | −0.0214435 | − | 0.0247472i | ||||
\(655\) | −11.5980 | − | 18.0468i | −0.453171 | − | 0.705147i | ||||
\(656\) | −21.3330 | − | 33.1948i | −0.832913 | − | 1.29604i | ||||
\(657\) | 10.4525 | − | 9.05713i | 0.407790 | − | 0.353352i | ||||
\(658\) | −0.787418 | + | 0.141326i | −0.0306968 | + | 0.00550947i | ||||
\(659\) | 7.42513 | + | 1.06757i | 0.289242 | + | 0.0415867i | 0.285409 | − | 0.958406i | \(-0.407871\pi\) |
0.00383348 | + | 0.999993i | \(0.498780\pi\) | |||||||
\(660\) | 6.14621 | − | 7.09310i | 0.239241 | − | 0.276099i | ||||
\(661\) | −7.89523 | + | 17.2882i | −0.307089 | + | 0.672431i | −0.998760 | − | 0.0497815i | \(-0.984148\pi\) |
0.691671 | + | 0.722213i | \(0.256875\pi\) | |||||||
\(662\) | −1.26056 | − | 0.370133i | −0.0489930 | − | 0.0143856i | ||||
\(663\) | −6.89181 | − | 15.0909i | −0.267656 | − | 0.586084i | ||||
\(664\) | −0.109455 | − | 0.761279i | −0.00424769 | − | 0.0295434i | ||||
\(665\) | −9.92760 | + | 12.2965i | −0.384976 | + | 0.476837i | ||||
\(666\) | 1.99957i | 0.0774818i | ||||||||
\(667\) | 8.37243 | + | 3.25264i | 0.324182 | + | 0.125943i | ||||
\(668\) | − | 16.3894i | − | 0.634123i | ||||||
\(669\) | −18.8708 | − | 12.1275i | −0.729588 | − | 0.468878i | ||||
\(670\) | −2.99135 | + | 0.430091i | −0.115566 | + | 0.0166159i | ||||
\(671\) | −47.7117 | + | 21.7892i | −1.84189 | + | 0.841163i | ||||
\(672\) | 7.53772 | + | 3.13026i | 0.290774 | + | 0.120753i | ||||
\(673\) | −3.26764 | + | 7.15514i | −0.125958 | + | 0.275810i | −0.962097 | − | 0.272708i | \(-0.912081\pi\) |
0.836138 | + | 0.548518i | \(0.184808\pi\) | |||||||
\(674\) | −0.331740 | − | 0.287454i | −0.0127781 | − | 0.0110723i | ||||
\(675\) | −3.78629 | − | 0.544387i | −0.145734 | − | 0.0209535i | ||||
\(676\) | 5.68404 | − | 1.66898i | 0.218617 | − | 0.0641917i | ||||
\(677\) | 1.86548 | + | 2.15288i | 0.0716963 | + | 0.0827420i | 0.790465 | − | 0.612508i | \(-0.209839\pi\) |
−0.718768 | + | 0.695250i | \(0.755294\pi\) | |||||||
\(678\) | 2.00740 | − | 1.29008i | 0.0770936 | − | 0.0495450i | ||||
\(679\) | −9.48008 | − | 18.9819i | −0.363812 | − | 0.728459i | ||||
\(680\) | −3.96430 | − | 4.57505i | −0.152024 | − | 0.175445i | ||||
\(681\) | −3.00567 | − | 10.2364i | −0.115178 | − | 0.392259i | ||||
\(682\) | −1.16244 | + | 8.08495i | −0.0445122 | + | 0.309589i | ||||
\(683\) | 4.52163 | − | 5.21824i | 0.173015 | − | 0.199670i | −0.662619 | − | 0.748957i | \(-0.730555\pi\) |
0.835634 | + | 0.549287i | \(0.185100\pi\) | |||||||
\(684\) | −4.41176 | + | 9.66041i | −0.168688 | + | 0.369375i | ||||
\(685\) | 0.857599 | − | 2.92072i | 0.0327672 | − | 0.111595i | ||||
\(686\) | 4.97491 | − | 0.521126i | 0.189943 | − | 0.0198967i | ||||
\(687\) | −3.46371 | + | 0.498006i | −0.132149 | + | 0.0190001i | ||||
\(688\) | 2.71641 | − | 4.22682i | 0.103562 | − | 0.161146i | ||||
\(689\) | −5.81471 | −0.221523 | ||||||||
\(690\) | 0.856499 | − | 1.11241i | 0.0326064 | − | 0.0423487i | ||||
\(691\) | − | 1.87878i | − | 0.0714722i | −0.999361 | − | 0.0357361i | \(-0.988622\pi\) | ||
0.999361 | − | 0.0357361i | \(-0.0113776\pi\) | |||||||
\(692\) | 10.1337 | − | 15.7683i | 0.385224 | − | 0.599421i | ||||
\(693\) | −0.413528 | − | 11.8816i | −0.0157086 | − | 0.451344i | ||||
\(694\) | 2.40145 | + | 5.25844i | 0.0911577 | + | 0.199608i | ||||
\(695\) | 3.51780 | − | 11.9805i | 0.133438 | − | 0.454447i | ||||
\(696\) | 1.80697 | + | 0.825217i | 0.0684931 | + | 0.0312798i | ||||
\(697\) | 44.0156 | + | 38.1398i | 1.66721 | + | 1.44465i | ||||
\(698\) | −6.97069 | − | 1.00223i | −0.263845 | − | 0.0379351i | ||||
\(699\) | 3.50487 | + | 11.9365i | 0.132566 | + | 0.451480i | ||||
\(700\) | 16.0302 | − | 11.1084i | 0.605885 | − | 0.419857i | ||||
\(701\) | −20.2576 | − | 31.5215i | −0.765120 | − | 1.19055i | −0.976997 | − | 0.213253i | \(-0.931594\pi\) |
0.211877 | − | 0.977296i | \(-0.432042\pi\) | |||||||
\(702\) | 0.715845 | − | 0.460045i | 0.0270178 | − | 0.0173633i | ||||
\(703\) | 30.8350 | − | 26.7187i | 1.16296 | − | 1.00771i | ||||
\(704\) | 7.97826 | + | 27.1714i | 0.300692 | + | 1.02406i | ||||
\(705\) | 0.172687 | − | 1.20107i | 0.00650379 | − | 0.0452348i | ||||
\(706\) | 2.71407 | + | 2.35175i | 0.102145 | + | 0.0885094i | ||||
\(707\) | 12.9925 | − | 21.8524i | 0.488634 | − | 0.821844i | ||||
\(708\) | −23.5568 | − | 6.91691i | −0.885320 | − | 0.259953i | ||||
\(709\) | −36.7527 | + | 16.7844i | −1.38027 | + | 0.630350i | −0.960756 | − | 0.277396i | \(-0.910529\pi\) |
−0.419519 | + | 0.907746i | \(0.637801\pi\) | |||||||
\(710\) | 0.424774 | + | 2.95437i | 0.0159415 | + | 0.110875i | ||||
\(711\) | −4.77162 | + | 7.42479i | −0.178950 | + | 0.278451i | ||||
\(712\) | 12.3998 | 0.464701 | ||||||||
\(713\) | 2.73856 | − | 32.1603i | 0.102560 | − | 1.20441i | ||||
\(714\) | −3.74097 | − | 0.405640i | −0.140002 | − | 0.0151807i | ||||
\(715\) | 12.9085 | + | 8.29579i | 0.482751 | + | 0.310245i | ||||
\(716\) | −6.20033 | − | 43.1242i | −0.231717 | − | 1.61163i | ||||
\(717\) | −10.3931 | + | 4.74637i | −0.388138 | + | 0.177256i | ||||
\(718\) | −1.09710 | + | 3.73639i | −0.0409435 | + | 0.139441i | ||||
\(719\) | 28.7094 | + | 13.1112i | 1.07068 | + | 0.488964i | 0.871195 | − | 0.490937i | \(-0.163345\pi\) |
0.199486 | + | 0.979901i | \(0.436073\pi\) | |||||||
\(720\) | −2.53225 | + | 2.92237i | −0.0943712 | + | 0.108910i | ||||
\(721\) | 25.5465 | + | 6.54512i | 0.951402 | + | 0.243753i | ||||
\(722\) | −2.94703 | + | 0.865325i | −0.109677 | + | 0.0322041i | ||||
\(723\) | 14.3621 | − | 12.4448i | 0.534133 | − | 0.462829i | ||||
\(724\) | −16.3949 | + | 10.5364i | −0.609312 | + | 0.391581i | ||||
\(725\) | 6.02693 | − | 3.87327i | 0.223834 | − | 0.143850i | ||||
\(726\) | −1.87624 | + | 1.62577i | −0.0696337 | + | 0.0603379i | ||||
\(727\) | 33.7177 | − | 9.90040i | 1.25052 | − | 0.367186i | 0.411562 | − | 0.911382i | \(-0.364984\pi\) |
0.838958 | + | 0.544196i | \(0.183165\pi\) | |||||||
\(728\) | −2.19426 | + | 8.56450i | −0.0813247 | + | 0.317422i | ||||
\(729\) | 0.654861 | − | 0.755750i | 0.0242541 | − | 0.0279907i | ||||
\(730\) | 3.68292 | + | 1.68193i | 0.136311 | + | 0.0622511i | ||||
\(731\) | −2.08934 | + | 7.11565i | −0.0772772 | + | 0.263182i | ||||
\(732\) | 20.4612 | − | 9.34430i | 0.756267 | − | 0.345375i | ||||
\(733\) | −4.24969 | − | 29.5572i | −0.156966 | − | 1.09172i | −0.904184 | − | 0.427143i | \(-0.859520\pi\) |
0.747218 | − | 0.664579i | \(-0.231389\pi\) | |||||||
\(734\) | −1.34202 | − | 0.862467i | −0.0495350 | − | 0.0318342i | ||||
\(735\) | −1.62624 | + | 7.41075i | −0.0599847 | + | 0.273350i | ||||
\(736\) | 4.98191 | + | 13.9306i | 0.183636 | + | 0.513488i | ||||
\(737\) | −46.3888 | −1.70875 | ||||||||
\(738\) | −1.61502 | + | 2.51303i | −0.0594498 | + | 0.0925058i | ||||
\(739\) | 3.72120 | + | 25.8815i | 0.136887 | + | 0.952067i | 0.936279 | + | 0.351257i | \(0.114246\pi\) |
−0.799392 | + | 0.600809i | \(0.794845\pi\) | |||||||
\(740\) | 14.0658 | − | 6.42365i | 0.517070 | − | 0.236138i | ||||
\(741\) | −16.6595 | − | 4.89168i | −0.612003 | − | 0.179700i | ||||
\(742\) | −0.674009 | + | 1.13363i | −0.0247436 | + | 0.0416168i | ||||
\(743\) | −7.25393 | − | 6.28557i | −0.266121 | − | 0.230595i | 0.511570 | − | 0.859241i | \(-0.329064\pi\) |
−0.777691 | + | 0.628646i | \(0.783609\pi\) | |||||||
\(744\) | 1.01590 | − | 7.06572i | 0.0372446 | − | 0.259042i | ||||
\(745\) | −3.54390 | − | 12.0694i | −0.129838 | − | 0.442189i | ||||
\(746\) | 1.40843 | − | 1.22041i | 0.0515661 | − | 0.0446823i | ||||
\(747\) | 0.610014 | − | 0.392032i | 0.0223192 | − | 0.0143437i | ||||
\(748\) | −24.6522 | − | 38.3596i | −0.901376 | − | 1.40257i | ||||
\(749\) | 8.46972 | + | 12.2224i | 0.309477 | + | 0.446598i | ||||
\(750\) | −0.727859 | − | 2.47886i | −0.0265777 | − | 0.0905152i | ||||
\(751\) | −23.5208 | − | 3.38177i | −0.858284 | − | 0.123403i | −0.300898 | − | 0.953656i | \(-0.597287\pi\) |
−0.557386 | + | 0.830254i | \(0.688196\pi\) | |||||||
\(752\) | 3.01850 | + | 2.61555i | 0.110074 | + | 0.0953792i | ||||
\(753\) | −9.43432 | − | 4.30851i | −0.343806 | − | 0.157011i | ||||
\(754\) | −0.448994 | + | 1.52913i | −0.0163514 | + | 0.0556877i | ||||
\(755\) | −3.91776 | − | 8.57870i | −0.142582 | − | 0.312211i | ||||
\(756\) | 0.177341 | + | 5.09541i | 0.00644984 | + | 0.185318i | ||||
\(757\) | −5.87141 | + | 9.13609i | −0.213400 | + | 0.332057i | −0.931407 | − | 0.363979i | \(-0.881418\pi\) |
0.718007 | + | 0.696036i | \(0.245054\pi\) | |||||||
\(758\) | 1.12918i | 0.0410138i | ||||||||
\(759\) | 15.4434 | − | 15.0305i | 0.560559 | − | 0.545571i | ||||
\(760\) | −6.33559 | −0.229816 | ||||||||
\(761\) | 15.0257 | − | 23.3805i | 0.544682 | − | 0.847541i | −0.454382 | − | 0.890807i | \(-0.650140\pi\) |
0.999064 | + | 0.0432657i | \(0.0137762\pi\) | |||||||
\(762\) | −2.35980 | + | 0.339287i | −0.0854864 | + | 0.0122911i | ||||
\(763\) | 2.58345 | + | 7.78567i | 0.0935273 | + | 0.281860i | ||||
\(764\) | 10.3978 | − | 35.4117i | 0.376180 | − | 1.28115i | ||||
\(765\) | 2.37097 | − | 5.19169i | 0.0857225 | − | 0.187706i | ||||
\(766\) | −6.44117 | + | 7.43351i | −0.232729 | + | 0.268584i | ||||
\(767\) | 5.71237 | − | 39.7304i | 0.206262 | − | 1.43458i | ||||
\(768\) | −2.95200 | − | 10.0536i | −0.106521 | − | 0.362778i | ||||
\(769\) | −12.0360 | − | 13.8903i | −0.434030 | − | 0.500897i | 0.496030 | − | 0.868305i | \(-0.334791\pi\) |
−0.930060 | + | 0.367408i | \(0.880245\pi\) | |||||||
\(770\) | 3.11362 | − | 1.55503i | 0.112207 | − | 0.0560393i | ||||
\(771\) | 23.0998 | − | 14.8454i | 0.831921 | − | 0.534643i | ||||
\(772\) | −5.60583 | − | 6.46947i | −0.201758 | − | 0.232841i | ||||
\(773\) | −35.6254 | + | 10.4606i | −1.28136 | + | 0.376241i | −0.850402 | − | 0.526133i | \(-0.823641\pi\) |
−0.430955 | + | 0.902373i | \(0.641823\pi\) | |||||||
\(774\) | −0.376505 | − | 0.0541333i | −0.0135332 | − | 0.00194578i | ||||
\(775\) | −19.4563 | − | 16.8590i | −0.698891 | − | 0.605593i | ||||
\(776\) | 3.53348 | − | 7.73725i | 0.126845 | − | 0.277751i | ||||
\(777\) | 7.51227 | − | 18.0896i | 0.269501 | − | 0.648962i | ||||
\(778\) | −0.257640 | + | 0.117660i | −0.00923685 | + | 0.00421833i | ||||
\(779\) | 60.3331 | − | 8.67459i | 2.16166 | − | 0.310800i | ||||
\(780\) | −5.53581 | − | 3.55765i | −0.198214 | − | 0.127384i | ||||
\(781\) | 45.8153i | 1.63940i | ||||||||
\(782\) | −4.01322 | − | 5.51524i | −0.143513 | − | 0.197225i | ||||
\(783\) | 1.87289i | 0.0669315i | ||||||||
\(784\) | −17.6267 | − | 17.6910i | −0.629525 | − | 0.631821i | ||||
\(785\) | 2.75449 | + | 19.1579i | 0.0983120 | + | 0.683775i | ||||
\(786\) | −2.22068 | − | 4.86262i | −0.0792091 | − | 0.173444i | ||||
\(787\) | −17.9026 | − | 5.25668i | −0.638159 | − | 0.187380i | −0.0533816 | − | 0.998574i | \(-0.517000\pi\) |
−0.584777 | + | 0.811194i | \(0.698818\pi\) | |||||||
\(788\) | −1.53060 | + | 3.35156i | −0.0545255 | + | 0.119394i | ||||
\(789\) | −4.08631 | + | 4.71585i | −0.145476 | + | 0.167889i | ||||
\(790\) | −2.55740 | − | 0.367698i | −0.0909882 | − | 0.0130821i | ||||
\(791\) | −23.0072 | + | 4.12934i | −0.818041 | + | 0.146822i | ||||
\(792\) | 3.60197 | − | 3.12112i | 0.127990 | − | 0.110904i | ||||
\(793\) | 19.8822 | + | 30.9373i | 0.706038 | + | 1.09862i | ||||
\(794\) | 0.343751 | + | 0.534887i | 0.0121993 | + | 0.0189824i | ||||
\(795\) | −1.30999 | − | 1.51181i | −0.0464607 | − | 0.0536185i | ||||
\(796\) | 16.7718 | − | 4.92466i | 0.594462 | − | 0.174550i | ||||
\(797\) | 4.31039 | − | 29.9794i | 0.152682 | − | 1.06193i | −0.759018 | − | 0.651069i | \(-0.774321\pi\) |
0.911700 | − | 0.410856i | \(-0.134770\pi\) | |||||||
\(798\) | −2.88475 | + | 2.68091i | −0.102119 | + | 0.0949030i | ||||
\(799\) | −5.36248 | − | 2.44896i | −0.189711 | − | 0.0866381i | ||||
\(800\) | 11.3224 | + | 3.32456i | 0.400307 | + | 0.117541i | ||||
\(801\) | 4.85648 | + | 10.6342i | 0.171595 | + | 0.375741i | ||||
\(802\) | 5.99005 | − | 0.861239i | 0.211516 | − | 0.0304114i | ||||
\(803\) | 52.2825 | + | 33.5999i | 1.84501 | + | 1.18572i | ||||
\(804\) | 19.8939 | 0.701602 | ||||||||
\(805\) | −11.9278 | + | 6.84589i | −0.420399 | + | 0.241286i | ||||
\(806\) | 5.72687 | 0.201720 | ||||||||
\(807\) | −10.8318 | − | 6.96120i | −0.381299 | − | 0.245046i | ||||
\(808\) | 10.0881 | − | 1.45045i | 0.354899 | − | 0.0510268i | ||||
\(809\) | −22.6825 | − | 49.6678i | −0.797475 | − | 1.74623i | −0.653892 | − | 0.756588i | \(-0.726865\pi\) |
−0.143582 | − | 0.989638i | \(-0.545862\pi\) | |||||||
\(810\) | 0.280883 | + | 0.0824748i | 0.00986924 | + | 0.00289787i | ||||
\(811\) | −17.4723 | − | 7.97932i | −0.613534 | − | 0.280192i | 0.0843118 | − | 0.996439i | \(-0.473131\pi\) |
−0.697846 | + | 0.716248i | \(0.745858\pi\) | |||||||
\(812\) | −6.50044 | − | 6.99472i | −0.228121 | − | 0.245466i | ||||
\(813\) | 0.183839 | − | 1.27863i | 0.00644753 | − | 0.0448436i | ||||
\(814\) | −8.62118 | + | 2.53141i | −0.302172 | + | 0.0887258i | ||||
\(815\) | −16.1416 | − | 18.6285i | −0.565417 | − | 0.652526i | ||||
\(816\) | 10.1568 | + | 15.8042i | 0.355558 | + | 0.553259i | ||||
\(817\) | 4.19616 | + | 6.52935i | 0.146805 | + | 0.228433i | ||||
\(818\) | −0.941098 | + | 0.815466i | −0.0329047 | + | 0.0285121i | ||||
\(819\) | −8.20443 | + | 1.47254i | −0.286686 | + | 0.0514546i | ||||
\(820\) | 22.8660 | + | 3.28763i | 0.798514 | + | 0.114809i | ||||
\(821\) | 1.30591 | − | 1.50710i | 0.0455766 | − | 0.0525981i | −0.732504 | − | 0.680763i | \(-0.761648\pi\) |
0.778080 | + | 0.628165i | \(0.216194\pi\) | |||||||
\(822\) | 0.315109 | − | 0.689992i | 0.0109907 | − | 0.0240662i | ||||
\(823\) | −7.99543 | − | 2.34767i | −0.278703 | − | 0.0818347i | 0.139394 | − | 0.990237i | \(-0.455485\pi\) |
−0.418097 | + | 0.908402i | \(0.637303\pi\) | |||||||
\(824\) | 4.39182 | + | 9.61674i | 0.152996 | + | 0.335015i | ||||
\(825\) | −2.44622 | − | 17.0138i | −0.0851664 | − | 0.592345i | ||||
\(826\) | −7.08365 | − | 5.71900i | −0.246472 | − | 0.198990i | ||||
\(827\) | − | 47.9455i | − | 1.66723i | −0.552347 | − | 0.833614i | \(-0.686268\pi\) | ||
0.552347 | − | 0.833614i | \(-0.313732\pi\) | |||||||
\(828\) | −6.62289 | + | 6.44581i | −0.230161 | + | 0.224008i | ||||
\(829\) | 32.2563i | 1.12031i | 0.828389 | + | 0.560153i | \(0.189258\pi\) | ||||
−0.828389 | + | 0.560153i | \(0.810742\pi\) | |||||||
\(830\) | 0.178576 | + | 0.114764i | 0.00619848 | + | 0.00398352i | ||||
\(831\) | 12.1903 | − | 1.75270i | 0.422877 | − | 0.0608006i | ||||
\(832\) | 18.0606 | − | 8.24802i | 0.626140 | − | 0.285949i | ||||
\(833\) | 32.3197 | + | 17.7243i | 1.11981 | + | 0.614112i | ||||
\(834\) | 1.29255 | − | 2.83028i | 0.0447572 | − | 0.0980047i | ||||
\(835\) | 6.96664 | + | 6.03663i | 0.241091 | + | 0.208906i | ||||
\(836\) | −47.2361 | − | 6.79153i | −1.63370 | − | 0.234890i | ||||
\(837\) | 6.45754 | − | 1.89610i | 0.223205 | − | 0.0655390i | ||||
\(838\) | −4.18269 | − | 4.82708i | −0.144489 | − | 0.166749i | ||||
\(839\) | −16.0212 | + | 10.2962i | −0.553115 | + | 0.355465i | −0.787149 | − | 0.616763i | \(-0.788444\pi\) |
0.234034 | + | 0.972228i | \(0.424807\pi\) | |||||||
\(840\) | −2.72110 | + | 1.35899i | −0.0938869 | + | 0.0468896i | ||||
\(841\) | 16.6939 | + | 19.2658i | 0.575652 | + | 0.664338i | ||||
\(842\) | 0.0469957 | + | 0.160053i | 0.00161958 | + | 0.00551577i | ||||
\(843\) | −3.37993 | + | 23.5079i | −0.116411 | + | 0.809656i | ||||
\(844\) | −23.9036 | + | 27.5862i | −0.822795 | + | 0.949556i | ||||
\(845\) | −1.38414 | + | 3.03085i | −0.0476160 | + | 0.104264i | ||||
\(846\) | 0.0851880 | − | 0.290124i | 0.00292882 | − | 0.00997466i | ||||
\(847\) | 23.0818 | − | 7.65903i | 0.793099 | − | 0.263167i | ||||
\(848\) | 6.51749 | − | 0.937074i | 0.223812 | − | 0.0321792i | ||||
\(849\) | 5.20433 | − | 8.09810i | 0.178612 | − | 0.277926i | ||||
\(850\) | −5.44041 | −0.186604 | ||||||||
\(851\) | 33.4318 | − | 11.9560i | 1.14603 | − | 0.409846i | ||||
\(852\) | − | 19.6479i | − | 0.673126i | ||||||
\(853\) | 24.3308 | − | 37.8595i | 0.833071 | − | 1.29628i | −0.119767 | − | 0.992802i | \(-0.538215\pi\) |
0.952837 | − | 0.303481i | \(-0.0981489\pi\) | |||||||
\(854\) | 8.33614 | − | 0.290132i | 0.285257 | − | 0.00992811i | ||||
\(855\) | −2.48139 | − | 5.43349i | −0.0848618 | − | 0.185821i | ||||
\(856\) | −1.67950 | + | 5.71985i | −0.0574042 | + | 0.195501i | ||||
\(857\) | 0.391463 | + | 0.178775i | 0.0133721 | + | 0.00610685i | 0.422090 | − | 0.906554i | \(-0.361297\pi\) |
−0.408718 | + | 0.912661i | \(0.634024\pi\) | |||||||
\(858\) | 2.88973 | + | 2.50397i | 0.0986538 | + | 0.0854840i | ||||
\(859\) | 44.1198 | + | 6.34347i | 1.50535 | + | 0.216436i | 0.845099 | − | 0.534610i | \(-0.179542\pi\) |
0.660249 | + | 0.751046i | \(0.270451\pi\) | |||||||
\(860\) | 0.828731 | + | 2.82240i | 0.0282595 | + | 0.0962430i | ||||
\(861\) | 24.0520 | − | 16.6672i | 0.819690 | − | 0.568016i | ||||
\(862\) | 1.55242 | + | 2.41562i | 0.0528757 | + | 0.0822762i | ||||
\(863\) | −34.6908 | + | 22.2944i | −1.18089 | + | 0.758912i | −0.975550 | − | 0.219779i | \(-0.929466\pi\) |
−0.205340 | + | 0.978691i | \(0.565830\pi\) | |||||||
\(864\) | −2.33140 | + | 2.02017i | −0.0793160 | + | 0.0687277i | ||||
\(865\) | 2.97015 | + | 10.1154i | 0.100988 | + | 0.343934i | ||||
\(866\) | −0.666783 | + | 4.63758i | −0.0226582 | + | 0.157591i | ||||
\(867\) | −8.10838 | − | 7.02595i | −0.275375 | − | 0.238614i | ||||
\(868\) | −17.5361 | + | 29.4943i | −0.595214 | + | 1.00110i | ||||
\(869\) | −38.0528 | − | 11.1733i | −1.29085 | − | 0.379029i | ||||
\(870\) | −0.498726 | + | 0.227760i | −0.0169084 | + | 0.00772180i | ||||
\(871\) | 4.62871 | + | 32.1934i | 0.156838 | + | 1.09083i | ||||
\(872\) | −1.77792 | + | 2.76650i | −0.0602079 | + | 0.0936854i | ||||
\(873\) | 8.01949 | 0.271418 | ||||||||
\(874\) | −7.11277 | − | 0.605676i | −0.240593 | − | 0.0204873i | ||||
\(875\) | −2.72816 | + | 25.1602i | −0.0922286 | + | 0.850569i | ||||
\(876\) | −22.4214 | − | 14.4093i | −0.757548 | − | 0.486846i | ||||
\(877\) | 5.48040 | + | 38.1171i | 0.185060 | + | 1.28712i | 0.844578 | + | 0.535433i | \(0.179851\pi\) |
−0.659518 | + | 0.751689i | \(0.729240\pi\) | |||||||
\(878\) | 3.30902 | − | 1.51118i | 0.111674 | − | 0.0509998i | ||||
\(879\) | −0.609636 | + | 2.07623i | −0.0205625 | + | 0.0700295i | ||||
\(880\) | −15.8056 | − | 7.21817i | −0.532806 | − | 0.243324i | ||||
\(881\) | −23.7570 | + | 27.4171i | −0.800395 | + | 0.923705i | −0.998403 | − | 0.0564951i | \(-0.982007\pi\) |
0.198008 | + | 0.980200i | \(0.436553\pi\) | |||||||
\(882\) | −0.663928 | + | 1.77022i | −0.0223556 | + | 0.0596063i | ||||
\(883\) | −27.5009 | + | 8.07500i | −0.925480 | + | 0.271745i | −0.709543 | − | 0.704662i | \(-0.751099\pi\) |
−0.215937 | + | 0.976407i | \(0.569280\pi\) | |||||||
\(884\) | −24.1614 | + | 20.9360i | −0.812636 | + | 0.704153i | ||||
\(885\) | 11.6168 | − | 7.46565i | 0.390494 | − | 0.250955i | ||||
\(886\) | −1.34187 | + | 0.862371i | −0.0450812 | + | 0.0289719i | ||||
\(887\) | 7.78761 | − | 6.74800i | 0.261482 | − | 0.226576i | −0.514246 | − | 0.857643i | \(-0.671928\pi\) |
0.775728 | + | 0.631067i | \(0.217383\pi\) | |||||||
\(888\) | 7.53434 | − | 2.21228i | 0.252836 | − | 0.0742394i | ||||
\(889\) | 22.6232 | + | 5.79615i | 0.758757 | + | 0.194397i | ||||
\(890\) | −2.24116 | + | 2.58643i | −0.0751238 | + | 0.0866975i | ||||
\(891\) | 4.08746 | + | 1.86668i | 0.136935 | + | 0.0625362i | ||||
\(892\) | −12.1785 | + | 41.4762i | −0.407767 | + | 1.38873i | ||||
\(893\) | −5.61223 | + | 2.56302i | −0.187806 | + | 0.0857683i | ||||
\(894\) | −0.446093 | − | 3.10264i | −0.0149196 | − | 0.103768i | ||||
\(895\) | 20.6146 | + | 13.2482i | 0.689070 | + | 0.442839i | ||||
\(896\) | 2.24515 | − | 20.7057i | 0.0750053 | − | 0.691730i | ||||
\(897\) | −11.9719 | − | 9.21779i | −0.399731 | − | 0.307773i | ||||
\(898\) | 2.86913 | 0.0957442 | ||||||||
\(899\) | −6.81468 | + | 10.6039i | −0.227282 | + | 0.353658i | ||||
\(900\) | 1.04906 | + | 7.29638i | 0.0349687 | + | 0.243213i | ||||
\(901\) | −8.84048 | + | 4.03731i | −0.294519 | + | 0.134502i | ||||
\(902\) | −12.8795 | − | 3.78177i | −0.428841 | − | 0.125919i | ||||
\(903\) | 3.20277 | + | 1.90424i | 0.106582 | + | 0.0633690i | ||||
\(904\) | −7.08192 | − | 6.13652i | −0.235541 | − | 0.204097i | ||||
\(905\) | 1.55997 | − | 10.8498i | 0.0518551 | − | 0.360660i | ||||
\(906\) | −0.662100 | − | 2.25491i | −0.0219968 | − | 0.0749142i | ||||
\(907\) | −2.07024 | + | 1.79388i | −0.0687413 | + | 0.0595647i | −0.688554 | − | 0.725185i | \(-0.741754\pi\) |
0.619812 | + | 0.784750i | \(0.287209\pi\) | |||||||
\(908\) | −17.2952 | + | 11.1149i | −0.573960 | + | 0.368862i | ||||
\(909\) | 5.19503 | + | 8.08363i | 0.172308 | + | 0.268117i | ||||
\(910\) | −1.38985 | − | 2.00566i | −0.0460732 | − | 0.0664870i | ||||
\(911\) | 14.4023 | + | 49.0498i | 0.477170 | + | 1.62509i | 0.748874 | + | 0.662712i | \(0.230595\pi\) |
−0.271704 | + | 0.962381i | \(0.587587\pi\) | |||||||
\(912\) | 19.4614 | + | 2.79812i | 0.644430 | + | 0.0926551i | ||||
\(913\) | 2.46251 | + | 2.13378i | 0.0814973 | + | 0.0706178i | ||||
\(914\) | −7.99772 | − | 3.65244i | −0.264541 | − | 0.120812i | ||||
\(915\) | −3.56439 | + | 12.1392i | −0.117835 | + | 0.401310i | ||||
\(916\) | 2.80130 | + | 6.13400i | 0.0925576 | + | 0.202673i | ||||
\(917\) | 1.82143 | + | 52.3339i | 0.0601491 | + | 1.72822i | ||||
\(918\) | 0.768923 | − | 1.19647i | 0.0253782 | − | 0.0394893i | ||||
\(919\) | − | 15.7075i | − | 0.518142i | −0.965858 | − | 0.259071i | \(-0.916584\pi\) | ||
0.965858 | − | 0.259071i | \(-0.0834163\pi\) | |||||||
\(920\) | −5.13915 | − | 1.99653i | −0.169433 | − | 0.0658235i | ||||
\(921\) | 16.6782 | 0.549566 | ||||||||
\(922\) | 0.589131 | − | 0.916706i | 0.0194020 | − | 0.0301901i | ||||
\(923\) | 31.7954 | − | 4.57149i | 1.04656 | − | 0.150472i | ||||
\(924\) | −21.7444 | + | 7.21527i | −0.715339 | + | 0.237365i | ||||
\(925\) | 7.97855 | − | 27.1724i | 0.262333 | − | 0.893424i | ||||
\(926\) | 3.17692 | − | 6.95649i | 0.104400 | − | 0.228605i | ||||
\(927\) | −6.52735 | + | 7.53297i | −0.214386 | + | 0.247415i | ||||
\(928\) | 0.822245 | − | 5.71884i | 0.0269915 | − | 0.187730i | ||||
\(929\) | −11.2088 | − | 38.1736i | −0.367748 | − | 1.25244i | −0.910839 | − | 0.412762i | \(-0.864564\pi\) |
0.543091 | − | 0.839674i | \(-0.317254\pi\) | |||||||
\(930\) | 1.29020 | + | 1.48898i | 0.0423075 | + | 0.0488254i | ||||
\(931\) | 36.1697 | − | 13.4157i | 1.18541 | − | 0.439681i | ||||
\(932\) | 20.1677 | − | 12.9610i | 0.660613 | − | 0.424551i | ||||
\(933\) | −10.7822 | − | 12.4433i | −0.352994 | − | 0.407376i | ||||
\(934\) | 0.985137 | − | 0.289262i | 0.0322347 | − | 0.00946496i | ||||
\(935\) | 25.3856 | + | 3.64990i | 0.830199 | + | 0.119365i | ||||
\(936\) | −2.52544 | − | 2.18830i | −0.0825465 | − | 0.0715269i | ||||
\(937\) | 6.51140 | − | 14.2580i | 0.212718 | − | 0.465788i | −0.772954 | − | 0.634463i | \(-0.781221\pi\) |
0.985672 | + | 0.168675i | \(0.0539487\pi\) | |||||||
\(938\) | 6.81292 | + | 2.82927i | 0.222450 | + | 0.0923789i | ||||
\(939\) | −30.8650 | + | 14.0956i | −1.00724 | + | 0.459992i | ||||
\(940\) | −2.31452 | + | 0.332778i | −0.0754913 | + | 0.0108540i | ||||
\(941\) | −5.11296 | − | 3.28590i | −0.166678 | − | 0.107117i | 0.454643 | − | 0.890674i | \(-0.349767\pi\) |
−0.621320 | + | 0.783557i | \(0.713403\pi\) | |||||||
\(942\) | 4.82305i | 0.157144i | ||||||||
\(943\) | 51.6731 | + | 11.9762i | 1.68271 | + | 0.390000i | ||||
\(944\) | 45.4529i | 1.47937i | ||||||||
\(945\) | −2.23123 | − | 1.80139i | −0.0725820 | − | 0.0585993i | ||||
\(946\) | −0.243250 | − | 1.69184i | −0.00790872 | − | 0.0550064i | ||||
\(947\) | 20.4952 | + | 44.8782i | 0.666004 | + | 1.45835i | 0.876819 | + | 0.480820i | \(0.159661\pi\) |
−0.210815 | + | 0.977526i | \(0.567612\pi\) | |||||||
\(948\) | 16.3190 | + | 4.79168i | 0.530015 | + | 0.155626i | ||||
\(949\) | 18.1012 | − | 39.6362i | 0.587591 | − | 1.28664i | ||||
\(950\) | −3.72864 | + | 4.30308i | −0.120973 | + | 0.139610i | ||||
\(951\) | 3.67424 | + | 0.528276i | 0.119145 | + | 0.0171305i | ||||
\(952\) | 2.61049 | + | 14.5447i | 0.0846065 | + | 0.471397i | ||||
\(953\) | −22.2093 | + | 19.2445i | −0.719431 | + | 0.623391i | −0.935640 | − | 0.352956i | \(-0.885176\pi\) |
0.216208 | + | 0.976347i | \(0.430631\pi\) | |||||||
\(954\) | −0.269501 | − | 0.419351i | −0.00872541 | − | 0.0135770i | ||||
\(955\) | 11.2227 | + | 17.4629i | 0.363158 | + | 0.565085i | ||||
\(956\) | 14.4186 | + | 16.6399i | 0.466330 | + | 0.538173i | ||||
\(957\) | −8.07498 | + | 2.37103i | −0.261027 | + | 0.0766444i | ||||
\(958\) | 0.384108 | − | 2.67153i | 0.0124100 | − | 0.0863132i | ||||
\(959\) | −5.44297 | + | 5.05834i | −0.175763 | + | 0.163342i | ||||
\(960\) | 6.21335 | + | 2.83754i | 0.200535 | + | 0.0915812i | ||||
\(961\) | 13.7160 | + | 4.02737i | 0.442451 | + | 0.129915i | ||||
\(962\) | 2.61700 | + | 5.73043i | 0.0843754 | + | 0.184756i | ||||
\(963\) | −5.56322 | + | 0.799870i | −0.179272 | + | 0.0257754i | ||||
\(964\) | −30.8078 | − | 19.7990i | −0.992252 | − | 0.637682i | ||||
\(965\) | 4.81476 | 0.154993 | ||||||||
\(966\) | −3.18481 | + | 1.26556i | −0.102470 | + | 0.0407188i | ||||
\(967\) | 4.46220 | 0.143495 | 0.0717473 | − | 0.997423i | \(-0.477142\pi\) | ||||
0.0717473 | + | 0.997423i | \(0.477142\pi\) | |||||||
\(968\) | 8.20169 | + | 5.27090i | 0.263612 | + | 0.169413i | ||||
\(969\) | −28.7250 | + | 4.13003i | −0.922779 | + | 0.132676i | ||||
\(970\) | 0.975244 | + | 2.13549i | 0.0313132 | + | 0.0685663i | ||||
\(971\) | 10.0015 | + | 2.93670i | 0.320963 | + | 0.0942431i | 0.438245 | − | 0.898855i | \(-0.355600\pi\) |
−0.117283 | + | 0.993099i | \(0.537418\pi\) | |||||||
\(972\) | −1.75291 | − | 0.800526i | −0.0562245 | − | 0.0256769i | ||||
\(973\) | −22.3266 | + | 20.7489i | −0.715757 | + | 0.665178i | ||||
\(974\) | −0.755384 | + | 5.25381i | −0.0242041 | + | 0.168343i | ||||
\(975\) | −11.5633 | + | 3.39530i | −0.370323 | + | 0.108737i | ||||
\(976\) | −27.2710 | − | 31.4724i | −0.872922 | − | 1.00741i | ||||
\(977\) | −5.06030 | − | 7.87398i | −0.161893 | − | 0.251911i | 0.750824 | − | 0.660502i | \(-0.229657\pi\) |
−0.912718 | + | 0.408591i | \(0.866020\pi\) | |||||||
\(978\) | −3.32077 | − | 5.16721i | −0.106186 | − | 0.165229i | ||||
\(979\) | −39.7013 | + | 34.4014i | −1.26886 | + | 1.09947i | ||||
\(980\) | 14.5853 | − | 1.01649i | 0.465911 | − | 0.0324706i | ||||
\(981\) | −3.06892 | − | 0.441244i | −0.0979831 | − | 0.0140878i | ||||
\(982\) | 6.08563 | − | 7.02319i | 0.194200 | − | 0.224119i | ||||
\(983\) | −8.62034 | + | 18.8759i | −0.274946 | + | 0.602048i | −0.995852 | − | 0.0909847i | \(-0.970999\pi\) |
0.720906 | + | 0.693033i | \(0.243726\pi\) | |||||||
\(984\) | 11.2559 | + | 3.30502i | 0.358824 | + | 0.105360i | ||||
\(985\) | −0.860887 | − | 1.88508i | −0.0274302 | − | 0.0600637i | ||||
\(986\) | 0.379084 | + | 2.63659i | 0.0120725 | + | 0.0839661i | ||||
\(987\) | −1.86065 | + | 2.30463i | −0.0592252 | + | 0.0733573i | ||||
\(988\) | 33.4591i | 1.06448i | ||||||||
\(989\) | 1.34615 | + | 6.61864i | 0.0428051 | + | 0.210460i | ||||
\(990\) | 1.31544i | 0.0418075i | ||||||||
\(991\) | −35.0553 | − | 22.5286i | −1.11357 | − | 0.715646i | −0.151499 | − | 0.988457i | \(-0.548410\pi\) |
−0.962068 | + | 0.272811i | \(0.912046\pi\) | |||||||
\(992\) | −20.5505 | + | 2.95471i | −0.652478 | + | 0.0938122i | ||||
\(993\) | −4.42465 | + | 2.02067i | −0.140412 | + | 0.0641241i | ||||
\(994\) | 2.79429 | − | 6.72870i | 0.0886296 | − | 0.213421i | ||||
\(995\) | −4.08418 | + | 8.94310i | −0.129477 | + | 0.283515i | ||||
\(996\) | −1.05605 | − | 0.915072i | −0.0334622 | − | 0.0289952i | ||||
\(997\) | −59.5532 | − | 8.56246i | −1.88607 | − | 0.271176i | −0.899798 | − | 0.436307i | \(-0.856286\pi\) |
−0.986272 | + | 0.165131i | \(0.947195\pi\) | |||||||
\(998\) | 3.55129 | − | 1.04275i | 0.112414 | − | 0.0330077i | ||||
\(999\) | 4.84818 | + | 5.59509i | 0.153390 | + | 0.177021i |
(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 | 483.2.r.a.412.20 | yes | 320 | |
7.6 | odd | 2 | inner | 483.2.r.a.412.19 | yes | 320 | |
23.11 | odd | 22 | inner | 483.2.r.a.34.19 | ✓ | 320 | |
161.34 | even | 22 | inner | 483.2.r.a.34.20 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.r.a.34.19 | ✓ | 320 | 23.11 | odd | 22 | inner | |
483.2.r.a.34.20 | yes | 320 | 161.34 | even | 22 | inner | |
483.2.r.a.412.19 | yes | 320 | 7.6 | odd | 2 | inner | |
483.2.r.a.412.20 | yes | 320 | 1.1 | even | 1 | trivial |