Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [93,2,Mod(7,93)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(93, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 28]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("93.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 93 = 3 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 93.m (of order \(15\), degree \(8\), 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: | \(0.742608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{15})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 7 x^{15} + 24 x^{14} - 36 x^{13} + 17 x^{12} + 18 x^{11} - 52 x^{10} + 59 x^{9} + 51 x^{8} - 59 x^{7} - 52 x^{6} - 18 x^{5} + 17 x^{4} + 36 x^{3} + 24 x^{2} + 7 x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 10.1 | ||
Root | \(2.18323 - 2.42472i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 93.10 |
Dual form | 93.2.m.a.28.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/93\mathbb{Z}\right)^\times\).
\(n\) | \(32\) | \(34\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.83063 | − | 1.33003i | −1.29445 | − | 0.940473i | −0.294565 | − | 0.955631i | \(-0.595175\pi\) |
−0.999885 | + | 0.0151582i | \(0.995175\pi\) | |||||||
\(3\) | 0.104528 | + | 0.994522i | 0.0603495 | + | 0.574187i | ||||
\(4\) | 0.964190 | + | 2.96747i | 0.482095 | + | 1.48374i | ||||
\(5\) | 0.467963 | + | 0.810536i | 0.209280 | + | 0.362483i | 0.951488 | − | 0.307686i | \(-0.0995548\pi\) |
−0.742208 | + | 0.670169i | \(0.766221\pi\) | |||||||
\(6\) | 1.13139 | − | 1.95963i | 0.461888 | − | 0.800014i | ||||
\(7\) | 3.25038 | + | 0.690890i | 1.22853 | + | 0.261132i | 0.776066 | − | 0.630652i | \(-0.217212\pi\) |
0.452463 | + | 0.891783i | \(0.350546\pi\) | |||||||
\(8\) | 0.783275 | − | 2.41067i | 0.276929 | − | 0.852301i | ||||
\(9\) | −0.978148 | + | 0.207912i | −0.326049 | + | 0.0693039i | ||||
\(10\) | 0.221370 | − | 2.10620i | 0.0700034 | − | 0.666038i | ||||
\(11\) | 2.50394 | − | 2.78090i | 0.754965 | − | 0.838474i | −0.236117 | − | 0.971725i | \(-0.575875\pi\) |
0.991082 | + | 0.133251i | \(0.0425415\pi\) | |||||||
\(12\) | −2.85043 | + | 1.26909i | −0.822848 | + | 0.366356i | ||||
\(13\) | 0.0761022 | + | 0.0338829i | 0.0211070 | + | 0.00939742i | 0.417263 | − | 0.908786i | \(-0.362989\pi\) |
−0.396156 | + | 0.918183i | \(0.629656\pi\) | |||||||
\(14\) | −5.03134 | − | 5.58787i | −1.34468 | − | 1.49342i | ||||
\(15\) | −0.757181 | + | 0.550124i | −0.195503 | + | 0.142041i | ||||
\(16\) | 0.408412 | − | 0.296728i | 0.102103 | − | 0.0741821i | ||||
\(17\) | 3.15344 | + | 3.50225i | 0.764822 | + | 0.849421i | 0.992235 | − | 0.124378i | \(-0.0396935\pi\) |
−0.227413 | + | 0.973798i | \(0.573027\pi\) | |||||||
\(18\) | 2.06715 | + | 0.920356i | 0.487233 | + | 0.216930i | ||||
\(19\) | −6.46506 | + | 2.87843i | −1.48319 | + | 0.660357i | −0.979115 | − | 0.203306i | \(-0.934831\pi\) |
−0.504070 | + | 0.863663i | \(0.668165\pi\) | |||||||
\(20\) | −1.95404 | + | 2.17018i | −0.436936 | + | 0.485267i | ||||
\(21\) | −0.347348 | + | 3.30479i | −0.0757975 | + | 0.721165i | ||||
\(22\) | −8.28247 | + | 1.76049i | −1.76583 | + | 0.375338i | ||||
\(23\) | −1.39192 | + | 4.28390i | −0.290236 | + | 0.893255i | 0.694544 | + | 0.719450i | \(0.255606\pi\) |
−0.984780 | + | 0.173805i | \(0.944394\pi\) | |||||||
\(24\) | 2.47934 | + | 0.527000i | 0.506093 | + | 0.107573i | ||||
\(25\) | 2.06202 | − | 3.57152i | 0.412404 | − | 0.714305i | ||||
\(26\) | −0.0942497 | − | 0.163245i | −0.0184839 | − | 0.0320150i | ||||
\(27\) | −0.309017 | − | 0.951057i | −0.0594703 | − | 0.183031i | ||||
\(28\) | 1.08379 | + | 10.3116i | 0.204817 | + | 1.94870i | ||||
\(29\) | −2.72075 | − | 1.97674i | −0.505230 | − | 0.367071i | 0.305781 | − | 0.952102i | \(-0.401083\pi\) |
−0.811011 | + | 0.585031i | \(0.801083\pi\) | |||||||
\(30\) | 2.11780 | 0.386655 | ||||||||
\(31\) | −4.48791 | − | 3.29525i | −0.806052 | − | 0.591844i | ||||
\(32\) | −6.21177 | −1.09810 | ||||||||
\(33\) | 3.02740 | + | 2.19954i | 0.527003 | + | 0.382890i | ||||
\(34\) | −1.11468 | − | 10.6055i | −0.191166 | − | 1.81883i | ||||
\(35\) | 0.961068 | + | 2.95786i | 0.162450 | + | 0.499970i | ||||
\(36\) | −1.56009 | − | 2.70216i | −0.260015 | − | 0.450360i | ||||
\(37\) | 4.62455 | − | 8.00995i | 0.760271 | − | 1.31683i | −0.182440 | − | 0.983217i | \(-0.558400\pi\) |
0.942711 | − | 0.333611i | \(-0.108267\pi\) | |||||||
\(38\) | 15.6635 | + | 3.32938i | 2.54096 | + | 0.540097i | ||||
\(39\) | −0.0257424 | + | 0.0792270i | −0.00412209 | + | 0.0126865i | ||||
\(40\) | 2.32048 | − | 0.493233i | 0.366900 | − | 0.0779870i | ||||
\(41\) | 0.814860 | − | 7.75287i | 0.127260 | − | 1.21080i | −0.725400 | − | 0.688328i | \(-0.758345\pi\) |
0.852659 | − | 0.522467i | \(-0.174988\pi\) | |||||||
\(42\) | 5.03134 | − | 5.58787i | 0.776352 | − | 0.862227i | ||||
\(43\) | −3.87214 | + | 1.72399i | −0.590496 | + | 0.262906i | −0.680157 | − | 0.733067i | \(-0.738088\pi\) |
0.0896609 | + | 0.995972i | \(0.471422\pi\) | |||||||
\(44\) | 10.6665 | + | 4.74904i | 1.60804 | + | 0.715945i | ||||
\(45\) | −0.626257 | − | 0.695529i | −0.0933569 | − | 0.103683i | ||||
\(46\) | 8.24581 | − | 5.99093i | 1.21578 | − | 0.883315i | ||||
\(47\) | −7.88472 | + | 5.72858i | −1.15010 | + | 0.835599i | −0.988495 | − | 0.151255i | \(-0.951668\pi\) |
−0.161609 | + | 0.986855i | \(0.551668\pi\) | |||||||
\(48\) | 0.337794 | + | 0.375158i | 0.0487563 | + | 0.0541494i | ||||
\(49\) | 3.69283 | + | 1.64416i | 0.527548 | + | 0.234879i | ||||
\(50\) | −8.52503 | + | 3.79559i | −1.20562 | + | 0.536777i | ||||
\(51\) | −3.15344 | + | 3.50225i | −0.441570 | + | 0.490413i | ||||
\(52\) | −0.0271695 | + | 0.258501i | −0.00376773 | + | 0.0358476i | ||||
\(53\) | 6.05080 | − | 1.28614i | 0.831142 | − | 0.176665i | 0.227356 | − | 0.973812i | \(-0.426992\pi\) |
0.603785 | + | 0.797147i | \(0.293658\pi\) | |||||||
\(54\) | −0.699238 | + | 2.15203i | −0.0951543 | + | 0.292855i | ||||
\(55\) | 3.42577 | + | 0.728171i | 0.461931 | + | 0.0981865i | ||||
\(56\) | 4.21145 | − | 7.29445i | 0.562779 | − | 0.974761i | ||||
\(57\) | −3.53844 | − | 6.12876i | −0.468678 | − | 0.811774i | ||||
\(58\) | 2.35156 | + | 7.23735i | 0.308775 | + | 0.950311i | ||||
\(59\) | −1.12671 | − | 10.7200i | −0.146686 | − | 1.39562i | −0.781957 | − | 0.623332i | \(-0.785779\pi\) |
0.635272 | − | 0.772289i | \(-0.280888\pi\) | |||||||
\(60\) | −2.36254 | − | 1.71649i | −0.305003 | − | 0.221598i | ||||
\(61\) | −8.79852 | −1.12654 | −0.563268 | − | 0.826274i | \(-0.690456\pi\) | ||||
−0.563268 | + | 0.826274i | \(0.690456\pi\) | |||||||
\(62\) | 3.83292 | + | 12.0014i | 0.486781 | + | 1.52418i | ||||
\(63\) | −3.32300 | −0.418658 | ||||||||
\(64\) | 10.5546 | + | 7.66838i | 1.31933 | + | 0.958548i | ||||
\(65\) | 0.00814973 | + | 0.0775395i | 0.00101085 | + | 0.00961760i | ||||
\(66\) | −2.61660 | − | 8.05307i | −0.322081 | − | 0.991265i | ||||
\(67\) | 1.39139 | + | 2.40996i | 0.169986 | + | 0.294424i | 0.938415 | − | 0.345511i | \(-0.112295\pi\) |
−0.768429 | + | 0.639935i | \(0.778961\pi\) | |||||||
\(68\) | −7.35231 | + | 12.7346i | −0.891599 | + | 1.54429i | ||||
\(69\) | −4.40593 | − | 0.936509i | −0.530411 | − | 0.112742i | ||||
\(70\) | 2.17469 | − | 6.69300i | 0.259925 | − | 0.799967i | ||||
\(71\) | 5.47119 | − | 1.16294i | 0.649310 | − | 0.138015i | 0.128530 | − | 0.991706i | \(-0.458974\pi\) |
0.520781 | + | 0.853690i | \(0.325641\pi\) | |||||||
\(72\) | −0.264951 | + | 2.52084i | −0.0312248 | + | 0.297084i | ||||
\(73\) | −6.19917 | + | 6.88488i | −0.725558 | + | 0.805814i | −0.987223 | − | 0.159345i | \(-0.949062\pi\) |
0.261665 | + | 0.965159i | \(0.415729\pi\) | |||||||
\(74\) | −19.1193 | + | 8.51246i | −2.22257 | + | 0.989554i | ||||
\(75\) | 3.76750 | + | 1.67740i | 0.435033 | + | 0.193689i | ||||
\(76\) | −14.7752 | − | 16.4095i | −1.69483 | − | 1.88230i | ||||
\(77\) | 10.0600 | − | 7.30905i | 1.14645 | − | 0.832944i | ||||
\(78\) | 0.152499 | − | 0.110797i | 0.0172671 | − | 0.0125453i | ||||
\(79\) | 5.73303 | + | 6.36718i | 0.645016 | + | 0.716363i | 0.973638 | − | 0.228098i | \(-0.0732508\pi\) |
−0.328622 | + | 0.944462i | \(0.606584\pi\) | |||||||
\(80\) | 0.431631 | + | 0.192174i | 0.0482578 | + | 0.0214858i | ||||
\(81\) | 0.913545 | − | 0.406737i | 0.101505 | − | 0.0451930i | ||||
\(82\) | −11.8033 | + | 13.1088i | −1.30345 | + | 1.44763i | ||||
\(83\) | 0.0799819 | − | 0.760977i | 0.00877916 | − | 0.0835281i | −0.989255 | − | 0.146200i | \(-0.953296\pi\) |
0.998034 | + | 0.0626722i | \(0.0199623\pi\) | |||||||
\(84\) | −10.1418 | + | 2.15570i | −1.10656 | + | 0.235206i | ||||
\(85\) | −1.36301 | + | 4.19490i | −0.147839 | + | 0.455001i | ||||
\(86\) | 9.38141 | + | 1.99408i | 1.01162 | + | 0.215027i | ||||
\(87\) | 1.68152 | − | 2.91247i | 0.180277 | − | 0.312250i | ||||
\(88\) | −4.74257 | − | 8.21438i | −0.505560 | − | 0.875656i | ||||
\(89\) | 2.35056 | + | 7.23429i | 0.249159 | + | 0.766833i | 0.994924 | + | 0.100625i | \(0.0320841\pi\) |
−0.745765 | + | 0.666209i | \(0.767916\pi\) | |||||||
\(90\) | 0.221370 | + | 2.10620i | 0.0233345 | + | 0.222013i | ||||
\(91\) | 0.223952 | + | 0.162711i | 0.0234765 | + | 0.0170567i | ||||
\(92\) | −14.0544 | −1.46528 | ||||||||
\(93\) | 2.80808 | − | 4.80777i | 0.291185 | − | 0.498543i | ||||
\(94\) | 22.0532 | 2.27461 | ||||||||
\(95\) | −5.35848 | − | 3.89316i | −0.549768 | − | 0.399430i | ||||
\(96\) | −0.649307 | − | 6.17774i | −0.0662696 | − | 0.630513i | ||||
\(97\) | −0.977212 | − | 3.00755i | −0.0992208 | − | 0.305370i | 0.889110 | − | 0.457694i | \(-0.151324\pi\) |
−0.988331 | + | 0.152324i | \(0.951324\pi\) | |||||||
\(98\) | −4.57343 | − | 7.92142i | −0.461987 | − | 0.800184i | ||||
\(99\) | −1.87104 | + | 3.24073i | −0.188046 | + | 0.325706i | ||||
\(100\) | 12.5866 | + | 2.67536i | 1.25866 | + | 0.267536i | ||||
\(101\) | 0.728083 | − | 2.24081i | 0.0724470 | − | 0.222969i | −0.908276 | − | 0.418371i | \(-0.862601\pi\) |
0.980723 | + | 0.195402i | \(0.0626012\pi\) | |||||||
\(102\) | 10.4309 | − | 2.21715i | 1.03281 | − | 0.219531i | ||||
\(103\) | 0.589520 | − | 5.60891i | 0.0580872 | − | 0.552663i | −0.926318 | − | 0.376744i | \(-0.877044\pi\) |
0.984405 | − | 0.175919i | \(-0.0562896\pi\) | |||||||
\(104\) | 0.141289 | − | 0.156918i | 0.0138546 | − | 0.0153871i | ||||
\(105\) | −2.84120 | + | 1.26498i | −0.277273 | + | 0.123450i | ||||
\(106\) | −12.7874 | − | 5.69331i | −1.24202 | − | 0.552983i | ||||
\(107\) | −9.83018 | − | 10.9175i | −0.950319 | − | 1.05544i | −0.998397 | − | 0.0565927i | \(-0.981976\pi\) |
0.0480783 | − | 0.998844i | \(-0.484690\pi\) | |||||||
\(108\) | 2.52428 | − | 1.83400i | 0.242899 | − | 0.176476i | ||||
\(109\) | 12.4920 | − | 9.07594i | 1.19651 | − | 0.869317i | 0.202575 | − | 0.979267i | \(-0.435069\pi\) |
0.993937 | + | 0.109950i | \(0.0350690\pi\) | |||||||
\(110\) | −5.30283 | − | 5.88939i | −0.505605 | − | 0.561532i | ||||
\(111\) | 8.44947 | + | 3.76195i | 0.801988 | + | 0.357068i | ||||
\(112\) | 1.53250 | − | 0.682313i | 0.144808 | − | 0.0644725i | ||||
\(113\) | −2.73827 | + | 3.04115i | −0.257594 | + | 0.286087i | −0.858045 | − | 0.513574i | \(-0.828321\pi\) |
0.600451 | + | 0.799662i | \(0.294988\pi\) | |||||||
\(114\) | −1.67386 | + | 15.9257i | −0.156771 | + | 1.49158i | ||||
\(115\) | −4.12363 | + | 0.876504i | −0.384530 | + | 0.0817344i | ||||
\(116\) | 3.24260 | − | 9.97969i | 0.301068 | − | 0.926591i | ||||
\(117\) | −0.0814838 | − | 0.0173199i | −0.00753318 | − | 0.00160123i | ||||
\(118\) | −12.1953 | + | 21.1228i | −1.12267 | + | 1.94452i | ||||
\(119\) | 7.83022 | + | 13.5623i | 0.717795 | + | 1.24326i | ||||
\(120\) | 0.733088 | + | 2.25621i | 0.0669214 | + | 0.205963i | ||||
\(121\) | −0.313912 | − | 2.98667i | −0.0285375 | − | 0.271516i | ||||
\(122\) | 16.1068 | + | 11.7023i | 1.45824 | + | 1.05948i | ||||
\(123\) | 7.79558 | 0.702903 | ||||||||
\(124\) | 5.45136 | − | 16.4950i | 0.489547 | − | 1.48129i | ||||
\(125\) | 8.53943 | 0.763790 | ||||||||
\(126\) | 6.08318 | + | 4.41969i | 0.541932 | + | 0.393737i | ||||
\(127\) | 0.722000 | + | 6.86937i | 0.0640672 | + | 0.609558i | 0.978703 | + | 0.205280i | \(0.0658106\pi\) |
−0.914636 | + | 0.404278i | \(0.867523\pi\) | |||||||
\(128\) | −5.28334 | − | 16.2604i | −0.466985 | − | 1.43723i | ||||
\(129\) | −2.11929 | − | 3.67072i | −0.186593 | − | 0.323189i | ||||
\(130\) | 0.0882108 | − | 0.152786i | 0.00773660 | − | 0.0134002i | ||||
\(131\) | −12.4328 | − | 2.64268i | −1.08626 | − | 0.230892i | −0.370215 | − | 0.928946i | \(-0.620716\pi\) |
−0.716045 | + | 0.698055i | \(0.754049\pi\) | |||||||
\(132\) | −3.60807 | + | 11.1045i | −0.314042 | + | 0.966522i | ||||
\(133\) | −23.0026 | + | 4.88935i | −1.99458 | + | 0.423960i | ||||
\(134\) | 0.658199 | − | 6.26234i | 0.0568597 | − | 0.540984i | ||||
\(135\) | 0.626257 | − | 0.695529i | 0.0538996 | − | 0.0598616i | ||||
\(136\) | 10.9128 | − | 4.85868i | 0.935764 | − | 0.416629i | ||||
\(137\) | 12.9136 | + | 5.74950i | 1.10328 | + | 0.491213i | 0.875851 | − | 0.482582i | \(-0.160301\pi\) |
0.227431 | + | 0.973794i | \(0.426968\pi\) | |||||||
\(138\) | 6.82004 | + | 7.57442i | 0.580560 | + | 0.644777i | ||||
\(139\) | −11.8813 | + | 8.63225i | −1.00776 | + | 0.732178i | −0.963737 | − | 0.266853i | \(-0.914016\pi\) |
−0.0440192 | + | 0.999031i | \(0.514016\pi\) | |||||||
\(140\) | −7.85072 | + | 5.70388i | −0.663507 | + | 0.482066i | ||||
\(141\) | −6.52138 | − | 7.24272i | −0.549199 | − | 0.609947i | ||||
\(142\) | −11.5625 | − | 5.14794i | −0.970300 | − | 0.432005i | ||||
\(143\) | 0.284780 | − | 0.126792i | 0.0238145 | − | 0.0106029i | ||||
\(144\) | −0.337794 | + | 0.375158i | −0.0281495 | + | 0.0312631i | ||||
\(145\) | 0.329009 | − | 3.13031i | 0.0273227 | − | 0.259958i | ||||
\(146\) | 20.5055 | − | 4.35858i | 1.69705 | − | 0.360718i | ||||
\(147\) | −1.24914 | + | 3.84447i | −0.103028 | + | 0.317086i | ||||
\(148\) | 28.2282 | + | 6.00010i | 2.32035 | + | 0.493205i | ||||
\(149\) | 2.76418 | − | 4.78771i | 0.226451 | − | 0.392224i | −0.730303 | − | 0.683123i | \(-0.760621\pi\) |
0.956754 | + | 0.290899i | \(0.0939544\pi\) | |||||||
\(150\) | −4.66590 | − | 8.08158i | −0.380969 | − | 0.659858i | ||||
\(151\) | 5.08050 | + | 15.6362i | 0.413445 | + | 1.27245i | 0.913634 | + | 0.406537i | \(0.133264\pi\) |
−0.500189 | + | 0.865916i | \(0.666736\pi\) | |||||||
\(152\) | 1.87503 | + | 17.8397i | 0.152085 | + | 1.44699i | ||||
\(153\) | −3.81269 | − | 2.77008i | −0.308238 | − | 0.223948i | ||||
\(154\) | −28.1375 | −2.26738 | ||||||||
\(155\) | 0.570743 | − | 5.17967i | 0.0458432 | − | 0.416041i | ||||
\(156\) | −0.259924 | −0.0208106 | ||||||||
\(157\) | 11.1917 | + | 8.13127i | 0.893197 | + | 0.648946i | 0.936710 | − | 0.350107i | \(-0.113855\pi\) |
−0.0435126 | + | 0.999053i | \(0.513855\pi\) | |||||||
\(158\) | −2.02652 | − | 19.2810i | −0.161221 | − | 1.53392i | ||||
\(159\) | 1.91157 | + | 5.88322i | 0.151598 | + | 0.466570i | ||||
\(160\) | −2.90688 | − | 5.03486i | −0.229809 | − | 0.398041i | ||||
\(161\) | −7.48399 | + | 12.9626i | −0.589821 | + | 1.02160i | ||||
\(162\) | −2.21333 | − | 0.470459i | −0.173896 | − | 0.0369627i | ||||
\(163\) | 2.68325 | − | 8.25818i | 0.210168 | − | 0.646831i | −0.789293 | − | 0.614016i | \(-0.789553\pi\) |
0.999461 | − | 0.0328146i | \(-0.0104471\pi\) | |||||||
\(164\) | 23.7921 | − | 5.05717i | 1.85785 | − | 0.394898i | ||||
\(165\) | −0.366091 | + | 3.48312i | −0.0285001 | + | 0.271161i | ||||
\(166\) | −1.15854 | + | 1.28669i | −0.0899201 | + | 0.0998664i | ||||
\(167\) | −1.78755 | + | 0.795868i | −0.138325 | + | 0.0615861i | −0.474732 | − | 0.880131i | \(-0.657455\pi\) |
0.336407 | + | 0.941717i | \(0.390788\pi\) | |||||||
\(168\) | 7.69470 | + | 3.42590i | 0.593659 | + | 0.264314i | ||||
\(169\) | −8.69405 | − | 9.65573i | −0.668773 | − | 0.742748i | ||||
\(170\) | 8.07451 | − | 5.86647i | 0.619286 | − | 0.449938i | ||||
\(171\) | 5.72532 | − | 4.15969i | 0.437826 | − | 0.318099i | ||||
\(172\) | −8.84936 | − | 9.82821i | −0.674757 | − | 0.749394i | ||||
\(173\) | −8.80748 | − | 3.92134i | −0.669620 | − | 0.298134i | 0.0436257 | − | 0.999048i | \(-0.486109\pi\) |
−0.713246 | + | 0.700914i | \(0.752776\pi\) | |||||||
\(174\) | −6.95190 | + | 3.09519i | −0.527022 | + | 0.234645i | ||||
\(175\) | 9.16988 | − | 10.1842i | 0.693178 | − | 0.769852i | ||||
\(176\) | 0.197464 | − | 1.87874i | 0.0148844 | − | 0.141616i | ||||
\(177\) | 10.5435 | − | 2.24108i | 0.792496 | − | 0.168450i | ||||
\(178\) | 5.31881 | − | 16.3696i | 0.398662 | − | 1.22696i | ||||
\(179\) | −22.8813 | − | 4.86358i | −1.71023 | − | 0.363521i | −0.754168 | − | 0.656681i | \(-0.771960\pi\) |
−0.956063 | + | 0.293160i | \(0.905293\pi\) | |||||||
\(180\) | 1.46013 | − | 2.52902i | 0.108832 | − | 0.188502i | ||||
\(181\) | 4.27064 | + | 7.39696i | 0.317434 | + | 0.549812i | 0.979952 | − | 0.199234i | \(-0.0638455\pi\) |
−0.662518 | + | 0.749046i | \(0.730512\pi\) | |||||||
\(182\) | −0.193563 | − | 0.595725i | −0.0143478 | − | 0.0441581i | ||||
\(183\) | −0.919696 | − | 8.75033i | −0.0679859 | − | 0.646843i | ||||
\(184\) | 9.23682 | + | 6.71094i | 0.680947 | + | 0.494737i | ||||
\(185\) | 8.65648 | 0.636437 | ||||||||
\(186\) | −11.5350 | + | 5.06641i | −0.845790 | + | 0.371487i | ||||
\(187\) | 17.6354 | 1.28963 | ||||||||
\(188\) | −24.6018 | − | 17.8742i | −1.79427 | − | 1.30361i | ||||
\(189\) | −0.347348 | − | 3.30479i | −0.0252658 | − | 0.240388i | ||||
\(190\) | 4.63137 | + | 14.2539i | 0.335995 | + | 1.03409i | ||||
\(191\) | −1.52056 | − | 2.63369i | −0.110024 | − | 0.190567i | 0.805756 | − | 0.592248i | \(-0.201759\pi\) |
−0.915780 | + | 0.401681i | \(0.868426\pi\) | |||||||
\(192\) | −6.52311 | + | 11.2984i | −0.470765 | + | 0.815389i | ||||
\(193\) | −5.57785 | − | 1.18561i | −0.401503 | − | 0.0853420i | 0.00273443 | − | 0.999996i | \(-0.499130\pi\) |
−0.404237 | + | 0.914654i | \(0.632463\pi\) | |||||||
\(194\) | −2.21122 | + | 6.80543i | −0.158756 | + | 0.488601i | ||||
\(195\) | −0.0762629 | + | 0.0162102i | −0.00546130 | + | 0.00116083i | ||||
\(196\) | −1.31839 | + | 12.5437i | −0.0941708 | + | 0.895975i | ||||
\(197\) | 2.30784 | − | 2.56312i | 0.164427 | − | 0.182615i | −0.655301 | − | 0.755368i | \(-0.727458\pi\) |
0.819728 | + | 0.572753i | \(0.194125\pi\) | |||||||
\(198\) | 7.73545 | − | 3.44404i | 0.549734 | − | 0.244757i | ||||
\(199\) | 16.0068 | + | 7.12668i | 1.13469 | + | 0.505197i | 0.886138 | − | 0.463421i | \(-0.153378\pi\) |
0.248553 | + | 0.968618i | \(0.420045\pi\) | |||||||
\(200\) | −6.99464 | − | 7.76834i | −0.494596 | − | 0.549304i | ||||
\(201\) | −2.25132 | + | 1.63568i | −0.158796 | + | 0.115372i | ||||
\(202\) | −4.31319 | + | 3.13372i | −0.303475 | + | 0.220488i | ||||
\(203\) | −7.47776 | − | 8.30490i | −0.524836 | − | 0.582889i | ||||
\(204\) | −13.4333 | − | 5.98091i | −0.940522 | − | 0.418747i | ||||
\(205\) | 6.66531 | − | 2.96759i | 0.465525 | − | 0.207265i | ||||
\(206\) | −8.53921 | + | 9.48376i | −0.594955 | + | 0.660765i | ||||
\(207\) | 0.470834 | − | 4.47968i | 0.0327252 | − | 0.311360i | ||||
\(208\) | 0.0411350 | − | 0.00874352i | 0.00285220 | − | 0.000606254i | ||||
\(209\) | −8.18346 | + | 25.1861i | −0.566062 | + | 1.74216i | ||||
\(210\) | 6.88365 | + | 1.46317i | 0.475017 | + | 0.100968i | ||||
\(211\) | −10.4677 | + | 18.1306i | −0.720626 | + | 1.24816i | 0.240123 | + | 0.970742i | \(0.422812\pi\) |
−0.960749 | + | 0.277419i | \(0.910521\pi\) | |||||||
\(212\) | 9.65070 | + | 16.7155i | 0.662813 | + | 1.14802i | ||||
\(213\) | 1.72846 | + | 5.31965i | 0.118432 | + | 0.364497i | ||||
\(214\) | 3.47478 | + | 33.0604i | 0.237531 | + | 2.25996i | ||||
\(215\) | −3.20938 | − | 2.33175i | −0.218878 | − | 0.159024i | ||||
\(216\) | −2.53473 | −0.172467 | ||||||||
\(217\) | −12.3108 | − | 13.8115i | −0.835709 | − | 0.937584i | ||||
\(218\) | −34.9394 | −2.36639 | ||||||||
\(219\) | −7.49515 | − | 5.44555i | −0.506476 | − | 0.367976i | ||||
\(220\) | 1.14227 | + | 10.8680i | 0.0770119 | + | 0.732719i | ||||
\(221\) | 0.121317 | + | 0.373377i | 0.00816069 | + | 0.0251160i | ||||
\(222\) | −10.4643 | − | 18.1248i | −0.702321 | − | 1.21646i | ||||
\(223\) | 0.610850 | − | 1.05802i | 0.0409055 | − | 0.0708505i | −0.844848 | − | 0.535007i | \(-0.820309\pi\) |
0.885753 | + | 0.464156i | \(0.153642\pi\) | |||||||
\(224\) | −20.1906 | − | 4.29165i | −1.34904 | − | 0.286748i | ||||
\(225\) | −1.27440 | + | 3.92220i | −0.0849599 | + | 0.261480i | ||||
\(226\) | 9.05757 | − | 1.92525i | 0.602501 | − | 0.128065i | ||||
\(227\) | −1.71899 | + | 16.3551i | −0.114093 | + | 1.08553i | 0.776309 | + | 0.630353i | \(0.217090\pi\) |
−0.890402 | + | 0.455174i | \(0.849577\pi\) | |||||||
\(228\) | 14.7752 | − | 16.4095i | 0.978511 | − | 1.08675i | ||||
\(229\) | 3.75301 | − | 1.67095i | 0.248006 | − | 0.110419i | −0.278969 | − | 0.960300i | \(-0.589993\pi\) |
0.526975 | + | 0.849881i | \(0.323326\pi\) | |||||||
\(230\) | 8.71461 | + | 3.87999i | 0.574624 | + | 0.255839i | ||||
\(231\) | 8.32058 | + | 9.24094i | 0.547454 | + | 0.608009i | ||||
\(232\) | −6.89636 | + | 5.01050i | −0.452768 | + | 0.328956i | ||||
\(233\) | 7.60991 | − | 5.52893i | 0.498542 | − | 0.362212i | −0.309918 | − | 0.950763i | \(-0.600302\pi\) |
0.808460 | + | 0.588551i | \(0.200302\pi\) | |||||||
\(234\) | 0.126131 | + | 0.140082i | 0.00824542 | + | 0.00915747i | ||||
\(235\) | −8.33298 | − | 3.71008i | −0.543584 | − | 0.242019i | ||||
\(236\) | 30.7248 | − | 13.6796i | 2.00002 | − | 0.890464i | ||||
\(237\) | −5.73303 | + | 6.36718i | −0.372400 | + | 0.413593i | ||||
\(238\) | 3.70409 | − | 35.2420i | 0.240100 | − | 2.28440i | ||||
\(239\) | 24.6500 | − | 5.23953i | 1.59448 | − | 0.338917i | 0.676777 | − | 0.736188i | \(-0.263376\pi\) |
0.917701 | + | 0.397272i | \(0.130043\pi\) | |||||||
\(240\) | −0.146004 | + | 0.449354i | −0.00942452 | + | 0.0290057i | ||||
\(241\) | −11.0599 | − | 2.35085i | −0.712430 | − | 0.151432i | −0.162580 | − | 0.986695i | \(-0.551982\pi\) |
−0.549850 | + | 0.835264i | \(0.685315\pi\) | |||||||
\(242\) | −3.39771 | + | 5.88501i | −0.218413 | + | 0.378302i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | −8.48345 | − | 26.1094i | −0.543097 | − | 1.67148i | ||||
\(245\) | 0.395463 | + | 3.76258i | 0.0252652 | + | 0.240382i | ||||
\(246\) | −14.2708 | − | 10.3683i | −0.909874 | − | 0.661062i | ||||
\(247\) | −0.589534 | −0.0375112 | ||||||||
\(248\) | −11.4590 | + | 8.23779i | −0.727649 | + | 0.523100i | ||||
\(249\) | 0.765169 | 0.0484906 | ||||||||
\(250\) | −15.6325 | − | 11.3577i | −0.988689 | − | 0.718324i | ||||
\(251\) | 2.41967 | + | 23.0216i | 0.152728 | + | 1.45311i | 0.755475 | + | 0.655177i | \(0.227406\pi\) |
−0.602747 | + | 0.797932i | \(0.705927\pi\) | |||||||
\(252\) | −3.20400 | − | 9.86090i | −0.201833 | − | 0.621178i | ||||
\(253\) | 8.42782 | + | 14.5974i | 0.529853 | + | 0.917732i | ||||
\(254\) | 7.81476 | − | 13.5356i | 0.490342 | − | 0.849296i | ||||
\(255\) | −4.31440 | − | 0.917053i | −0.270178 | − | 0.0574281i | ||||
\(256\) | −3.89203 | + | 11.9784i | −0.243252 | + | 0.748652i | ||||
\(257\) | −6.11937 | + | 1.30071i | −0.381716 | + | 0.0811362i | −0.394773 | − | 0.918779i | \(-0.629177\pi\) |
0.0130575 | + | 0.999915i | \(0.495844\pi\) | |||||||
\(258\) | −1.00253 | + | 9.53846i | −0.0624149 | + | 0.593838i | ||||
\(259\) | 20.5655 | − | 22.8403i | 1.27788 | − | 1.41923i | ||||
\(260\) | −0.222238 | + | 0.0989469i | −0.0137826 | + | 0.00613643i | ||||
\(261\) | 3.07228 | + | 1.36787i | 0.190169 | + | 0.0846689i | ||||
\(262\) | 19.2450 | + | 21.3738i | 1.18896 | + | 1.32048i | ||||
\(263\) | −9.08793 | + | 6.60276i | −0.560386 | + | 0.407144i | −0.831600 | − | 0.555375i | \(-0.812575\pi\) |
0.271214 | + | 0.962519i | \(0.412575\pi\) | |||||||
\(264\) | 7.67365 | − | 5.57523i | 0.472280 | − | 0.343132i | ||||
\(265\) | 3.87402 | + | 4.30253i | 0.237979 | + | 0.264302i | ||||
\(266\) | 48.6122 | + | 21.6435i | 2.98060 | + | 1.32705i | ||||
\(267\) | −6.94896 | + | 3.09388i | −0.425269 | + | 0.189342i | ||||
\(268\) | −5.80993 | + | 6.45258i | −0.354898 | + | 0.394154i | ||||
\(269\) | −1.69666 | + | 16.1426i | −0.103447 | + | 0.984232i | 0.812508 | + | 0.582950i | \(0.198102\pi\) |
−0.915955 | + | 0.401282i | \(0.868565\pi\) | |||||||
\(270\) | −2.07152 | + | 0.440315i | −0.126069 | + | 0.0267967i | ||||
\(271\) | 7.51413 | − | 23.1261i | 0.456451 | − | 1.40481i | −0.412973 | − | 0.910743i | \(-0.635510\pi\) |
0.869424 | − | 0.494067i | \(-0.164490\pi\) | |||||||
\(272\) | 2.32712 | + | 0.494644i | 0.141102 | + | 0.0299922i | ||||
\(273\) | −0.138410 | + | 0.239733i | −0.00837694 | + | 0.0145093i | ||||
\(274\) | −15.9930 | − | 27.7006i | −0.966171 | − | 1.67346i | ||||
\(275\) | −4.76890 | − | 14.6772i | −0.287575 | − | 0.885066i | ||||
\(276\) | −1.46909 | − | 13.9774i | −0.0884287 | − | 0.841343i | ||||
\(277\) | 7.87545 | + | 5.72185i | 0.473190 | + | 0.343793i | 0.798683 | − | 0.601752i | \(-0.205530\pi\) |
−0.325493 | + | 0.945544i | \(0.605530\pi\) | |||||||
\(278\) | 33.2314 | 1.99308 | ||||||||
\(279\) | 5.07496 | + | 2.29015i | 0.303830 | + | 0.137108i | ||||
\(280\) | 7.88322 | 0.471112 | ||||||||
\(281\) | 9.70333 | + | 7.04988i | 0.578852 | + | 0.420561i | 0.838310 | − | 0.545194i | \(-0.183544\pi\) |
−0.259458 | + | 0.965754i | \(0.583544\pi\) | |||||||
\(282\) | 2.30518 | + | 21.9324i | 0.137272 | + | 1.30605i | ||||
\(283\) | −0.712755 | − | 2.19364i | −0.0423689 | − | 0.130398i | 0.927635 | − | 0.373489i | \(-0.121839\pi\) |
−0.970004 | + | 0.243091i | \(0.921839\pi\) | |||||||
\(284\) | 8.72624 | + | 15.1143i | 0.517807 | + | 0.896868i | ||||
\(285\) | 3.31172 | − | 5.73607i | 0.196170 | − | 0.339776i | ||||
\(286\) | −0.689964 | − | 0.146656i | −0.0407984 | − | 0.00867198i | ||||
\(287\) | 8.00499 | − | 24.6368i | 0.472519 | − | 1.45427i | ||||
\(288\) | 6.07603 | − | 1.29150i | 0.358033 | − | 0.0761023i | ||||
\(289\) | −0.544588 | + | 5.18141i | −0.0320346 | + | 0.304789i | ||||
\(290\) | −4.76570 | + | 5.29284i | −0.279851 | + | 0.310806i | ||||
\(291\) | 2.88893 | − | 1.28623i | 0.169352 | − | 0.0754003i | ||||
\(292\) | −26.4079 | − | 11.7575i | −1.54540 | − | 0.688058i | ||||
\(293\) | 17.6066 | + | 19.5542i | 1.02859 | + | 1.14237i | 0.989705 | + | 0.143123i | \(0.0457143\pi\) |
0.0388862 | + | 0.999244i | \(0.487619\pi\) | |||||||
\(294\) | 7.39997 | − | 5.37639i | 0.431575 | − | 0.313558i | ||||
\(295\) | 8.16166 | − | 5.92979i | 0.475190 | − | 0.345246i | ||||
\(296\) | −15.6871 | − | 17.4223i | −0.911792 | − | 1.01265i | ||||
\(297\) | −3.41856 | − | 1.52204i | −0.198365 | − | 0.0883177i | ||||
\(298\) | −11.4280 | + | 5.08807i | −0.662006 | + | 0.294744i | ||||
\(299\) | −0.251079 | + | 0.278852i | −0.0145203 | + | 0.0161264i | ||||
\(300\) | −1.34505 | + | 12.7973i | −0.0776563 | + | 0.738851i | ||||
\(301\) | −13.7770 | + | 2.92840i | −0.794094 | + | 0.168790i | ||||
\(302\) | 11.4961 | − | 35.3812i | 0.661524 | − | 2.03596i | ||||
\(303\) | 2.30464 | + | 0.489866i | 0.132398 | + | 0.0281421i | ||||
\(304\) | −1.78629 | + | 3.09395i | −0.102451 | + | 0.177450i | ||||
\(305\) | −4.11739 | − | 7.13152i | −0.235761 | − | 0.408350i | ||||
\(306\) | 3.29533 | + | 10.1420i | 0.188381 | + | 0.579779i | ||||
\(307\) | −1.68795 | − | 16.0597i | −0.0963361 | − | 0.916577i | −0.930804 | − | 0.365520i | \(-0.880891\pi\) |
0.834467 | − | 0.551057i | \(-0.185775\pi\) | |||||||
\(308\) | 31.3892 | + | 22.8056i | 1.78857 | + | 1.29947i | ||||
\(309\) | 5.63981 | 0.320837 | ||||||||
\(310\) | −7.93394 | + | 8.72295i | −0.450617 | + | 0.495430i | ||||
\(311\) | 10.2888 | 0.583424 | 0.291712 | − | 0.956506i | \(-0.405775\pi\) | ||||
0.291712 | + | 0.956506i | \(0.405775\pi\) | |||||||
\(312\) | 0.170827 | + | 0.124113i | 0.00967117 | + | 0.00702652i | ||||
\(313\) | −1.30652 | − | 12.4307i | −0.0738489 | − | 0.702625i | −0.967329 | − | 0.253523i | \(-0.918411\pi\) |
0.893480 | − | 0.449102i | \(-0.148256\pi\) | |||||||
\(314\) | −9.67307 | − | 29.7707i | −0.545883 | − | 1.68006i | ||||
\(315\) | −1.55504 | − | 2.69341i | −0.0876166 | − | 0.151756i | ||||
\(316\) | −13.3667 | + | 23.1518i | −0.751934 | + | 1.30239i | ||||
\(317\) | −5.81564 | − | 1.23615i | −0.326639 | − | 0.0694292i | 0.0416737 | − | 0.999131i | \(-0.486731\pi\) |
−0.368312 | + | 0.929702i | \(0.620064\pi\) | |||||||
\(318\) | 4.32547 | − | 13.3124i | 0.242561 | − | 0.746525i | ||||
\(319\) | −12.3097 | + | 2.61651i | −0.689211 | + | 0.146496i | ||||
\(320\) | −1.27633 | + | 12.1434i | −0.0713488 | + | 0.678838i | ||||
\(321\) | 9.83018 | − | 10.9175i | 0.548667 | − | 0.609356i | ||||
\(322\) | 30.9411 | − | 13.7759i | 1.72428 | − | 0.767699i | ||||
\(323\) | −30.4681 | − | 13.5653i | −1.69529 | − | 0.754793i | ||||
\(324\) | 2.08781 | + | 2.31875i | 0.115989 | + | 0.128819i | ||||
\(325\) | 0.277938 | − | 0.201934i | 0.0154172 | − | 0.0112013i | ||||
\(326\) | −15.8957 | + | 11.5489i | −0.880379 | + | 0.639633i | ||||
\(327\) | 10.3320 | + | 11.4748i | 0.571360 | + | 0.634559i | ||||
\(328\) | −18.0514 | − | 8.03699i | −0.996720 | − | 0.443768i | ||||
\(329\) | −29.5862 | + | 13.1726i | −1.63114 | + | 0.726229i | ||||
\(330\) | 5.30283 | − | 5.88939i | 0.291911 | − | 0.324200i | ||||
\(331\) | 3.01750 | − | 28.7096i | 0.165857 | − | 1.57802i | −0.522492 | − | 0.852644i | \(-0.674998\pi\) |
0.688349 | − | 0.725380i | \(-0.258336\pi\) | |||||||
\(332\) | 2.33529 | − | 0.496382i | 0.128166 | − | 0.0272425i | ||||
\(333\) | −2.85813 | + | 8.79641i | −0.156624 | + | 0.482040i | ||||
\(334\) | 4.33087 | + | 0.920554i | 0.236975 | + | 0.0503705i | ||||
\(335\) | −1.30224 | + | 2.25555i | −0.0711491 | + | 0.123234i | ||||
\(336\) | 0.838765 | + | 1.45278i | 0.0457584 | + | 0.0792559i | ||||
\(337\) | 1.41958 | + | 4.36903i | 0.0773297 | + | 0.237996i | 0.982247 | − | 0.187590i | \(-0.0600678\pi\) |
−0.904918 | + | 0.425587i | \(0.860068\pi\) | |||||||
\(338\) | 3.07319 | + | 29.2394i | 0.167159 | + | 1.59041i | ||||
\(339\) | −3.31072 | − | 2.40538i | −0.179814 | − | 0.130642i | ||||
\(340\) | −13.7624 | −0.746374 | ||||||||
\(341\) | −20.4012 | + | 4.22934i | −1.10479 | + | 0.229032i | ||||
\(342\) | −16.0134 | −0.865908 | ||||||||
\(343\) | −7.95134 | − | 5.77699i | −0.429332 | − | 0.311928i | ||||
\(344\) | 1.12302 | + | 10.6848i | 0.0605491 | + | 0.576087i | ||||
\(345\) | −1.30274 | − | 4.00942i | −0.0701371 | − | 0.215860i | ||||
\(346\) | 10.9077 | + | 18.8927i | 0.586403 | + | 1.01568i | ||||
\(347\) | 2.02623 | − | 3.50953i | 0.108773 | − | 0.188401i | −0.806500 | − | 0.591234i | \(-0.798641\pi\) |
0.915274 | + | 0.402833i | \(0.131974\pi\) | |||||||
\(348\) | 10.2640 | + | 2.18167i | 0.550206 | + | 0.116950i | ||||
\(349\) | −0.841273 | + | 2.58917i | −0.0450323 | + | 0.138595i | −0.971045 | − | 0.238898i | \(-0.923214\pi\) |
0.926012 | + | 0.377493i | \(0.123214\pi\) | |||||||
\(350\) | −30.3319 | + | 6.44725i | −1.62131 | + | 0.344620i | ||||
\(351\) | 0.00870766 | − | 0.0828479i | 0.000464781 | − | 0.00442209i | ||||
\(352\) | −15.5539 | + | 17.2743i | −0.829024 | + | 0.920725i | ||||
\(353\) | −9.14415 | + | 4.07124i | −0.486694 | + | 0.216690i | −0.635388 | − | 0.772193i | \(-0.719160\pi\) |
0.148694 | + | 0.988883i | \(0.452493\pi\) | |||||||
\(354\) | −22.2819 | − | 9.92054i | −1.18427 | − | 0.527271i | ||||
\(355\) | 3.50292 | + | 3.89038i | 0.185916 | + | 0.206480i | ||||
\(356\) | −19.2012 | + | 13.9505i | −1.01766 | + | 0.739373i | ||||
\(357\) | −12.6696 | + | 9.20497i | −0.670544 | + | 0.487179i | ||||
\(358\) | 35.4185 | + | 39.3363i | 1.87193 | + | 2.07899i | ||||
\(359\) | 10.6513 | + | 4.74228i | 0.562155 | + | 0.250288i | 0.668084 | − | 0.744086i | \(-0.267115\pi\) |
−0.105928 | + | 0.994374i | \(0.533781\pi\) | |||||||
\(360\) | −2.16722 | + | 0.964910i | −0.114223 | + | 0.0508552i | ||||
\(361\) | 20.7981 | − | 23.0986i | 1.09464 | − | 1.21572i | ||||
\(362\) | 2.02023 | − | 19.2212i | 0.106181 | − | 1.01024i | ||||
\(363\) | 2.93750 | − | 0.624385i | 0.154179 | − | 0.0327717i | ||||
\(364\) | −0.266907 | + | 0.821454i | −0.0139897 | + | 0.0430559i | ||||
\(365\) | −8.48143 | − | 1.80278i | −0.443938 | − | 0.0943620i | ||||
\(366\) | −9.95457 | + | 17.2418i | −0.520334 | + | 0.901245i | ||||
\(367\) | 7.83091 | + | 13.5635i | 0.408770 | + | 0.708011i | 0.994752 | − | 0.102313i | \(-0.0326244\pi\) |
−0.585982 | + | 0.810324i | \(0.699291\pi\) | |||||||
\(368\) | 0.702677 | + | 2.16262i | 0.0366296 | + | 0.112734i | ||||
\(369\) | 0.814860 | + | 7.75287i | 0.0424199 | + | 0.403598i | ||||
\(370\) | −15.8468 | − | 11.5134i | −0.823836 | − | 0.598552i | ||||
\(371\) | 20.5560 | 1.06721 | ||||||||
\(372\) | 16.9744 | + | 3.69730i | 0.880084 | + | 0.191696i | ||||
\(373\) | −29.6796 | −1.53675 | −0.768376 | − | 0.639999i | \(-0.778935\pi\) | ||||
−0.768376 | + | 0.639999i | \(0.778935\pi\) | |||||||
\(374\) | −32.2839 | − | 23.4557i | −1.66936 | − | 1.21286i | ||||
\(375\) | 0.892614 | + | 8.49265i | 0.0460944 | + | 0.438559i | ||||
\(376\) | 7.63383 | + | 23.4945i | 0.393685 | + | 1.21164i | ||||
\(377\) | −0.140077 | − | 0.242621i | −0.00721435 | − | 0.0124956i | ||||
\(378\) | −3.75961 | + | 6.51183i | −0.193373 | + | 0.334933i | ||||
\(379\) | 12.1369 | + | 2.57978i | 0.623432 | + | 0.132514i | 0.508787 | − | 0.860892i | \(-0.330094\pi\) |
0.114644 | + | 0.993407i | \(0.463427\pi\) | |||||||
\(380\) | 6.38626 | − | 19.6549i | 0.327608 | − | 1.00827i | ||||
\(381\) | −6.75627 | + | 1.43609i | −0.346134 | + | 0.0735731i | ||||
\(382\) | −0.719303 | + | 6.84371i | −0.0368028 | + | 0.350155i | ||||
\(383\) | 0.302886 | − | 0.336389i | 0.0154768 | − | 0.0171887i | −0.735357 | − | 0.677680i | \(-0.762985\pi\) |
0.750834 | + | 0.660492i | \(0.229652\pi\) | |||||||
\(384\) | 15.6191 | − | 6.95407i | 0.797059 | − | 0.354873i | ||||
\(385\) | 10.6320 | + | 4.73367i | 0.541856 | + | 0.241250i | ||||
\(386\) | 8.63408 | + | 9.58912i | 0.439463 | + | 0.488074i | ||||
\(387\) | 3.42909 | − | 2.49138i | 0.174310 | − | 0.126644i | ||||
\(388\) | 7.98259 | − | 5.79969i | 0.405255 | − | 0.294435i | ||||
\(389\) | 5.01568 | + | 5.57047i | 0.254305 | + | 0.282434i | 0.856756 | − | 0.515721i | \(-0.172476\pi\) |
−0.602452 | + | 0.798155i | \(0.705809\pi\) | |||||||
\(390\) | 0.161169 | + | 0.0717571i | 0.00816111 | + | 0.00363356i | ||||
\(391\) | −19.3926 | + | 8.63416i | −0.980728 | + | 0.436648i | ||||
\(392\) | 6.85602 | − | 7.61438i | 0.346281 | − | 0.384584i | ||||
\(393\) | 1.32862 | − | 12.6409i | 0.0670198 | − | 0.637651i | ||||
\(394\) | −7.63383 | + | 1.62262i | −0.384587 | + | 0.0817465i | ||||
\(395\) | −2.47798 | + | 7.62644i | −0.124681 | + | 0.383728i | ||||
\(396\) | −11.4208 | − | 2.42757i | −0.573917 | − | 0.121990i | ||||
\(397\) | −5.84556 | + | 10.1248i | −0.293380 | + | 0.508150i | −0.974607 | − | 0.223923i | \(-0.928114\pi\) |
0.681227 | + | 0.732073i | \(0.261447\pi\) | |||||||
\(398\) | −19.8238 | − | 34.3358i | −0.993677 | − | 1.72110i | ||||
\(399\) | −7.26699 | − | 22.3655i | −0.363804 | − | 1.11967i | ||||
\(400\) | −0.217620 | − | 2.07051i | −0.0108810 | − | 0.103526i | ||||
\(401\) | 0.408316 | + | 0.296659i | 0.0203903 | + | 0.0148145i | 0.597934 | − | 0.801546i | \(-0.295989\pi\) |
−0.577543 | + | 0.816360i | \(0.695989\pi\) | |||||||
\(402\) | 6.29684 | 0.314058 | ||||||||
\(403\) | −0.229887 | − | 0.402839i | −0.0114515 | − | 0.0200668i | ||||
\(404\) | 7.35154 | 0.365753 | ||||||||
\(405\) | 0.757181 | + | 0.550124i | 0.0376246 | + | 0.0273359i | ||||
\(406\) | 2.64325 | + | 25.1488i | 0.131182 | + | 1.24812i | ||||
\(407\) | −10.6953 | − | 32.9168i | −0.530148 | − | 1.63163i | ||||
\(408\) | 5.97277 | + | 10.3451i | 0.295696 | + | 0.512160i | ||||
\(409\) | 6.06865 | − | 10.5112i | 0.300075 | − | 0.519746i | −0.676077 | − | 0.736831i | \(-0.736321\pi\) |
0.976153 | + | 0.217085i | \(0.0696548\pi\) | |||||||
\(410\) | −16.1487 | − | 3.43251i | −0.797527 | − | 0.169520i | ||||
\(411\) | −4.36816 | + | 13.4438i | −0.215466 | + | 0.663135i | ||||
\(412\) | 17.2127 | − | 3.65867i | 0.848008 | − | 0.180250i | ||||
\(413\) | 3.74407 | − | 35.6224i | 0.184234 | − | 1.75286i | ||||
\(414\) | −6.82004 | + | 7.57442i | −0.335186 | + | 0.372262i | ||||
\(415\) | 0.654228 | − | 0.291281i | 0.0321148 | − | 0.0142984i | ||||
\(416\) | −0.472729 | − | 0.210473i | −0.0231775 | − | 0.0103193i | ||||
\(417\) | −9.82689 | − | 10.9139i | −0.481225 | − | 0.534455i | ||||
\(418\) | 48.4791 | − | 35.2222i | 2.37119 | − | 1.72277i | ||||
\(419\) | 23.9955 | − | 17.4337i | 1.17225 | − | 0.851693i | 0.180978 | − | 0.983487i | \(-0.442074\pi\) |
0.991277 | + | 0.131794i | \(0.0420739\pi\) | |||||||
\(420\) | −6.49326 | − | 7.21150i | −0.316839 | − | 0.351885i | ||||
\(421\) | −24.7260 | − | 11.0087i | −1.20507 | − | 0.536533i | −0.296811 | − | 0.954936i | \(-0.595923\pi\) |
−0.908261 | + | 0.418404i | \(0.862590\pi\) | |||||||
\(422\) | 43.2767 | − | 19.2680i | 2.10668 | − | 0.937953i | ||||
\(423\) | 6.52138 | − | 7.24272i | 0.317080 | − | 0.352153i | ||||
\(424\) | 1.63898 | − | 15.5939i | 0.0795961 | − | 0.757306i | ||||
\(425\) | 19.0108 | − | 4.04088i | 0.922161 | − | 0.196011i | ||||
\(426\) | 3.91113 | − | 12.0372i | 0.189495 | − | 0.583205i | ||||
\(427\) | −28.5986 | − | 6.07881i | −1.38398 | − | 0.294174i | ||||
\(428\) | 22.9193 | − | 39.6973i | 1.10784 | − | 1.91884i | ||||
\(429\) | 0.155865 | + | 0.269967i | 0.00752525 | + | 0.0130341i | ||||
\(430\) | 2.77388 | + | 8.53713i | 0.133768 | + | 0.411697i | ||||
\(431\) | 2.87530 | + | 27.3566i | 0.138498 | + | 1.31772i | 0.814216 | + | 0.580562i | \(0.197167\pi\) |
−0.675718 | + | 0.737160i | \(0.736166\pi\) | |||||||
\(432\) | −0.408412 | − | 0.296728i | −0.0196497 | − | 0.0142764i | ||||
\(433\) | 24.7991 | 1.19177 | 0.595884 | − | 0.803070i | \(-0.296802\pi\) | ||||
0.595884 | + | 0.803070i | \(0.296802\pi\) | |||||||
\(434\) | 4.16677 | + | 41.6574i | 0.200011 | + | 1.99962i | ||||
\(435\) | 3.14755 | 0.150913 | ||||||||
\(436\) | 38.9772 | + | 28.3186i | 1.86667 | + | 1.35621i | ||||
\(437\) | −3.33204 | − | 31.7022i | −0.159393 | − | 1.51652i | ||||
\(438\) | 6.47811 | + | 19.9376i | 0.309536 | + | 0.952653i | ||||
\(439\) | 14.6847 | + | 25.4347i | 0.700864 | + | 1.21393i | 0.968163 | + | 0.250319i | \(0.0805354\pi\) |
−0.267299 | + | 0.963614i | \(0.586131\pi\) | |||||||
\(440\) | 4.43870 | − | 7.68806i | 0.211607 | − | 0.366514i | ||||
\(441\) | −3.95398 | − | 0.840444i | −0.188285 | − | 0.0400211i | ||||
\(442\) | 0.274515 | − | 0.844870i | 0.0130573 | − | 0.0401864i | ||||
\(443\) | −27.5955 | + | 5.86561i | −1.31110 | + | 0.278683i | −0.809860 | − | 0.586624i | \(-0.800457\pi\) |
−0.501242 | + | 0.865307i | \(0.667123\pi\) | |||||||
\(444\) | −3.01657 | + | 28.7008i | −0.143160 | + | 1.36208i | ||||
\(445\) | −4.76368 | + | 5.29060i | −0.225820 | + | 0.250799i | ||||
\(446\) | −2.52544 | + | 1.12440i | −0.119583 | + | 0.0532418i | ||||
\(447\) | 5.05042 | + | 2.24859i | 0.238877 | + | 0.106355i | ||||
\(448\) | 29.0085 | + | 32.2172i | 1.37052 | + | 1.52212i | ||||
\(449\) | −15.2056 | + | 11.0475i | −0.717595 | + | 0.521363i | −0.885615 | − | 0.464420i | \(-0.846263\pi\) |
0.168020 | + | 0.985784i | \(0.446263\pi\) | |||||||
\(450\) | 7.54959 | − | 5.48510i | 0.355891 | − | 0.258570i | ||||
\(451\) | −19.5196 | − | 21.6787i | −0.919144 | − | 1.02081i | ||||
\(452\) | −11.6647 | − | 5.19347i | −0.548663 | − | 0.244280i | ||||
\(453\) | −15.0194 | + | 6.68709i | −0.705675 | + | 0.314187i | ||||
\(454\) | 24.8996 | − | 27.6538i | 1.16860 | − | 1.29786i | ||||
\(455\) | −0.0270815 | + | 0.257664i | −0.00126960 | + | 0.0120795i | ||||
\(456\) | −17.5460 | + | 3.72952i | −0.821667 | + | 0.174651i | ||||
\(457\) | −10.8363 | + | 33.3507i | −0.506900 | + | 1.56008i | 0.290652 | + | 0.956829i | \(0.406128\pi\) |
−0.797552 | + | 0.603250i | \(0.793872\pi\) | |||||||
\(458\) | −9.09277 | − | 1.93273i | −0.424877 | − | 0.0903105i | ||||
\(459\) | 2.35637 | − | 4.08136i | 0.109986 | − | 0.190501i | ||||
\(460\) | −6.57696 | − | 11.3916i | −0.306652 | − | 0.531137i | ||||
\(461\) | −8.28285 | − | 25.4920i | −0.385771 | − | 1.18728i | −0.935920 | − | 0.352213i | \(-0.885429\pi\) |
0.550149 | − | 0.835066i | \(-0.314571\pi\) | |||||||
\(462\) | −2.94117 | − | 27.9833i | −0.136835 | − | 1.30190i | ||||
\(463\) | 20.5459 | + | 14.9274i | 0.954847 | + | 0.693737i | 0.951948 | − | 0.306259i | \(-0.0990774\pi\) |
0.00289847 | + | 0.999996i | \(0.499077\pi\) | |||||||
\(464\) | −1.69774 | −0.0788156 | ||||||||
\(465\) | 5.21095 | + | 0.0261936i | 0.241652 | + | 0.00121470i | ||||
\(466\) | −21.2846 | −0.985988 | ||||||||
\(467\) | 20.9267 | + | 15.2041i | 0.968371 | + | 0.703563i | 0.955080 | − | 0.296349i | \(-0.0957692\pi\) |
0.0132911 | + | 0.999912i | \(0.495769\pi\) | |||||||
\(468\) | −0.0271695 | − | 0.258501i | −0.00125591 | − | 0.0119492i | ||||
\(469\) | 2.85754 | + | 8.79460i | 0.131949 | + | 0.406097i | ||||
\(470\) | 10.3201 | + | 17.8749i | 0.476030 | + | 0.824508i | ||||
\(471\) | −6.91687 | + | 11.9804i | −0.318712 | + | 0.552026i | ||||
\(472\) | −26.7248 | − | 5.68054i | −1.23011 | − | 0.261468i | ||||
\(473\) | −4.90135 | + | 15.0848i | −0.225364 | + | 0.693600i | ||||
\(474\) | 18.9636 | − | 4.03084i | 0.871027 | − | 0.185142i | ||||
\(475\) | −3.05070 | + | 29.0255i | −0.139976 | + | 1.33178i | ||||
\(476\) | −32.6960 | + | 36.3126i | −1.49862 | + | 1.66438i | ||||
\(477\) | −5.65117 | + | 2.51607i | −0.258750 | + | 0.115203i | ||||
\(478\) | −52.0938 | − | 23.1936i | −2.38271 | − | 1.06085i | ||||
\(479\) | 3.57361 | + | 3.96890i | 0.163282 | + | 0.181344i | 0.819234 | − | 0.573460i | \(-0.194399\pi\) |
−0.655951 | + | 0.754803i | \(0.727732\pi\) | |||||||
\(480\) | 4.70343 | − | 3.41724i | 0.214681 | − | 0.155975i | ||||
\(481\) | 0.623338 | − | 0.452882i | 0.0284218 | − | 0.0206496i | ||||
\(482\) | 17.1198 | + | 19.0135i | 0.779787 | + | 0.866042i | ||||
\(483\) | −13.6739 | − | 6.08802i | −0.622185 | − | 0.277015i | ||||
\(484\) | 8.56020 | − | 3.81124i | 0.389100 | − | 0.173238i | ||||
\(485\) | 1.98043 | − | 2.19949i | 0.0899266 | − | 0.0998736i | ||||
\(486\) | 0.236525 | − | 2.25039i | 0.0107290 | − | 0.102080i | ||||
\(487\) | 23.6888 | − | 5.03520i | 1.07344 | − | 0.228167i | 0.362904 | − | 0.931827i | \(-0.381785\pi\) |
0.710537 | + | 0.703660i | \(0.248452\pi\) | |||||||
\(488\) | −6.89166 | + | 21.2104i | −0.311971 | + | 0.960147i | ||||
\(489\) | 8.49342 | + | 1.80533i | 0.384086 | + | 0.0816400i | ||||
\(490\) | 4.28040 | − | 7.41387i | 0.193369 | − | 0.334924i | ||||
\(491\) | 3.33341 | + | 5.77364i | 0.150435 | + | 0.260561i | 0.931387 | − | 0.364030i | \(-0.118599\pi\) |
−0.780953 | + | 0.624590i | \(0.785266\pi\) | |||||||
\(492\) | 7.51641 | + | 23.1331i | 0.338866 | + | 1.04292i | ||||
\(493\) | −1.65668 | − | 15.7623i | −0.0746132 | − | 0.709897i | ||||
\(494\) | 1.07922 | + | 0.784098i | 0.0485563 | + | 0.0352783i | ||||
\(495\) | −3.50231 | −0.157417 | ||||||||
\(496\) | −2.81071 | − | 0.0141284i | −0.126205 | − | 0.000634386i | ||||
\(497\) | 18.5869 | 0.833737 | ||||||||
\(498\) | −1.40074 | − | 1.01770i | −0.0627687 | − | 0.0456041i | ||||
\(499\) | 0.294814 | + | 2.80497i | 0.0131977 | + | 0.125568i | 0.999137 | − | 0.0415361i | \(-0.0132251\pi\) |
−0.985939 | + | 0.167104i | \(0.946558\pi\) | |||||||
\(500\) | 8.23363 | + | 25.3405i | 0.368219 | + | 1.13326i | ||||
\(501\) | −0.978358 | − | 1.69457i | −0.0437098 | − | 0.0757076i | ||||
\(502\) | 26.1899 | − | 45.3622i | 1.16891 | − | 2.02461i | ||||
\(503\) | −7.00758 | − | 1.48951i | −0.312453 | − | 0.0664138i | 0.0490164 | − | 0.998798i | \(-0.484391\pi\) |
−0.361469 | + | 0.932384i | \(0.617725\pi\) | |||||||
\(504\) | −2.60282 | + | 8.01065i | −0.115939 | + | 0.356823i | ||||
\(505\) | 2.15697 | − | 0.458479i | 0.0959841 | − | 0.0204020i | ||||
\(506\) | 3.98678 | − | 37.9317i | 0.177234 | − | 1.68627i | ||||
\(507\) | 8.69405 | − | 9.65573i | 0.386117 | − | 0.428826i | ||||
\(508\) | −19.6885 | + | 8.76589i | −0.873537 | + | 0.388924i | ||||
\(509\) | 18.7708 | + | 8.35732i | 0.832003 | + | 0.370432i | 0.778120 | − | 0.628116i | \(-0.216174\pi\) |
0.0538830 | + | 0.998547i | \(0.482840\pi\) | |||||||
\(510\) | 6.67835 | + | 7.41706i | 0.295722 | + | 0.328433i | ||||
\(511\) | −24.9064 | + | 18.0955i | −1.10179 | + | 0.800500i | ||||
\(512\) | −4.60738 | + | 3.34746i | −0.203620 | + | 0.147938i | ||||
\(513\) | 4.73536 | + | 5.25915i | 0.209071 | + | 0.232197i | ||||
\(514\) | 12.9323 | + | 5.75782i | 0.570419 | + | 0.253967i | ||||
\(515\) | 4.82210 | − | 2.14694i | 0.212487 | − | 0.0946054i | ||||
\(516\) | 8.84936 | − | 9.82821i | 0.389571 | − | 0.432663i | ||||
\(517\) | −3.81220 | + | 36.2706i | −0.167660 | + | 1.59518i | ||||
\(518\) | −68.0262 | + | 14.4594i | −2.98890 | + | 0.635310i | ||||
\(519\) | 2.97923 | − | 9.16912i | 0.130774 | − | 0.402480i | ||||
\(520\) | 0.193306 | + | 0.0410884i | 0.00847702 | + | 0.00180185i | ||||
\(521\) | 13.2206 | − | 22.8988i | 0.579205 | − | 1.00321i | −0.416366 | − | 0.909197i | \(-0.636696\pi\) |
0.995571 | − | 0.0940155i | \(-0.0299703\pi\) | |||||||
\(522\) | −3.80490 | − | 6.59028i | −0.166536 | − | 0.288449i | ||||
\(523\) | 4.74888 | + | 14.6156i | 0.207654 | + | 0.639094i | 0.999594 | + | 0.0284946i | \(0.00907134\pi\) |
−0.791940 | + | 0.610599i | \(0.790929\pi\) | |||||||
\(524\) | −4.14552 | − | 39.4420i | −0.181098 | − | 1.72303i | ||||
\(525\) | 11.0869 | + | 8.05511i | 0.483873 | + | 0.351554i | ||||
\(526\) | 25.4185 | 1.10830 | ||||||||
\(527\) | −2.61156 | − | 26.1092i | −0.113761 | − | 1.13733i | ||||
\(528\) | 1.88909 | 0.0822122 | ||||||||
\(529\) | 2.19304 | + | 1.59334i | 0.0953497 | + | 0.0692756i | ||||
\(530\) | −1.36939 | − | 13.0289i | −0.0594826 | − | 0.565939i | ||||
\(531\) | 3.33090 | + | 10.2515i | 0.144549 | + | 0.444875i | ||||
\(532\) | −36.6878 | − | 63.5452i | −1.59062 | − | 2.75503i | ||||
\(533\) | 0.324702 | − | 0.562401i | 0.0140644 | − | 0.0243603i | ||||
\(534\) | 16.8359 | + | 3.57858i | 0.728561 | + | 0.154861i | ||||
\(535\) | 4.24888 | − | 13.0767i | 0.183695 | − | 0.565356i | ||||
\(536\) | 6.89947 | − | 1.46653i | 0.298012 | − | 0.0633444i | ||||
\(537\) | 2.44518 | − | 23.2644i | 0.105517 | − | 1.00393i | ||||
\(538\) | 24.5761 | − | 27.2945i | 1.05955 | − | 1.17675i | ||||
\(539\) | 13.8189 | − | 6.15255i | 0.595221 | − | 0.265009i | ||||
\(540\) | 2.66779 | + | 1.18778i | 0.114804 | + | 0.0511138i | ||||
\(541\) | −28.3459 | − | 31.4813i | −1.21869 | − | 1.35349i | −0.916396 | − | 0.400273i | \(-0.868915\pi\) |
−0.302291 | − | 0.953216i | \(-0.597751\pi\) | |||||||
\(542\) | −44.5140 | + | 32.3413i | −1.91204 | + | 1.38918i | ||||
\(543\) | −6.91003 | + | 5.02043i | −0.296538 | + | 0.215447i | ||||
\(544\) | −19.5884 | − | 21.7552i | −0.839847 | − | 0.932745i | ||||
\(545\) | 13.2022 | + | 5.87798i | 0.565518 | + | 0.251785i | ||||
\(546\) | 0.572229 | − | 0.254773i | 0.0244891 | − | 0.0109033i | ||||
\(547\) | −22.2471 | + | 24.7079i | −0.951217 | + | 1.05643i | 0.0471263 | + | 0.998889i | \(0.484994\pi\) |
−0.998343 | + | 0.0575442i | \(0.981673\pi\) | |||||||
\(548\) | −4.61032 | + | 43.8643i | −0.196943 | + | 1.87379i | ||||
\(549\) | 8.60626 | − | 1.82932i | 0.367306 | − | 0.0780733i | ||||
\(550\) | −10.7910 | + | 33.2112i | −0.460129 | + | 1.41613i | ||||
\(551\) | 23.2797 | + | 4.94825i | 0.991748 | + | 0.210803i | ||||
\(552\) | −5.70867 | + | 9.88770i | −0.242977 | + | 0.420848i | ||||
\(553\) | 14.2355 | + | 24.6566i | 0.605356 | + | 1.04851i | ||||
\(554\) | −6.80680 | − | 20.9492i | −0.289193 | − | 0.890045i | ||||
\(555\) | 0.904848 | + | 8.60905i | 0.0384087 | + | 0.365434i | ||||
\(556\) | −37.0717 | − | 26.9342i | −1.57219 | − | 1.14226i | ||||
\(557\) | 13.3501 | 0.565663 | 0.282832 | − | 0.959170i | \(-0.408726\pi\) | ||||
0.282832 | + | 0.959170i | \(0.408726\pi\) | |||||||
\(558\) | −6.24440 | − | 10.9423i | −0.264346 | − | 0.463223i | ||||
\(559\) | −0.353092 | −0.0149342 | ||||||||
\(560\) | 1.27019 | + | 0.922850i | 0.0536755 | + | 0.0389975i | ||||
\(561\) | 1.84341 | + | 17.5388i | 0.0778286 | + | 0.740490i | ||||
\(562\) | −8.38665 | − | 25.8114i | −0.353769 | − | 1.08879i | ||||
\(563\) | 4.28256 | + | 7.41760i | 0.180488 | + | 0.312615i | 0.942047 | − | 0.335481i | \(-0.108899\pi\) |
−0.761559 | + | 0.648096i | \(0.775566\pi\) | |||||||
\(564\) | 15.2047 | − | 26.3353i | 0.640234 | − | 1.10892i | ||||
\(565\) | −3.74637 | − | 0.796316i | −0.157611 | − | 0.0335013i | ||||
\(566\) | −1.61281 | + | 4.96372i | −0.0677915 | + | 0.208641i | ||||
\(567\) | 3.25038 | − | 0.690890i | 0.136503 | − | 0.0290147i | ||||
\(568\) | 1.48198 | − | 14.1001i | 0.0621826 | − | 0.591628i | ||||
\(569\) | −19.6451 | + | 21.8181i | −0.823564 | + | 0.914661i | −0.997541 | − | 0.0700890i | \(-0.977672\pi\) |
0.173976 | + | 0.984750i | \(0.444338\pi\) | |||||||
\(570\) | −13.6917 | + | 6.09593i | −0.573482 | + | 0.255330i | ||||
\(571\) | 23.5122 | + | 10.4683i | 0.983955 | + | 0.438085i | 0.834695 | − | 0.550713i | \(-0.185644\pi\) |
0.149260 | + | 0.988798i | \(0.452311\pi\) | |||||||
\(572\) | 0.650834 | + | 0.722825i | 0.0272127 | + | 0.0302228i | ||||
\(573\) | 2.46032 | − | 1.78753i | 0.102782 | − | 0.0746751i | ||||
\(574\) | −47.4219 | + | 34.4540i | −1.97935 | + | 1.43808i | ||||
\(575\) | 12.4299 | + | 13.8048i | 0.518362 | + | 0.575699i | ||||
\(576\) | −11.9183 | − | 5.30638i | −0.496597 | − | 0.221099i | ||||
\(577\) | 5.54911 | − | 2.47062i | 0.231013 | − | 0.102853i | −0.287966 | − | 0.957641i | \(-0.592979\pi\) |
0.518979 | + | 0.854787i | \(0.326312\pi\) | |||||||
\(578\) | 7.88837 | − | 8.76092i | 0.328113 | − | 0.364406i | ||||
\(579\) | 0.596070 | − | 5.67123i | 0.0247718 | − | 0.235688i | ||||
\(580\) | 9.60632 | − | 2.04189i | 0.398881 | − | 0.0847847i | ||||
\(581\) | 0.785723 | − | 2.41821i | 0.0325973 | − | 0.100324i | ||||
\(582\) | −6.99928 | − | 1.48774i | −0.290129 | − | 0.0616689i | ||||
\(583\) | 11.5742 | − | 20.0471i | 0.479354 | − | 0.830266i | ||||
\(584\) | 11.7415 | + | 20.3369i | 0.485868 | + | 0.841548i | ||||
\(585\) | −0.0240930 | − | 0.0741507i | −0.000996124 | − | 0.00306575i | ||||
\(586\) | −6.22362 | − | 59.2138i | −0.257095 | − | 2.44610i | ||||
\(587\) | −16.7055 | − | 12.1373i | −0.689512 | − | 0.500960i | 0.186988 | − | 0.982362i | \(-0.440128\pi\) |
−0.876500 | + | 0.481403i | \(0.840128\pi\) | |||||||
\(588\) | −12.6127 | −0.520141 | ||||||||
\(589\) | 38.4997 | + | 8.38585i | 1.58635 | + | 0.345533i | ||||
\(590\) | −22.8278 | −0.939805 | ||||||||
\(591\) | 2.79031 | + | 2.02728i | 0.114778 | + | 0.0833912i | ||||
\(592\) | −0.488061 | − | 4.64359i | −0.0200592 | − | 0.190850i | ||||
\(593\) | 12.0524 | + | 37.0933i | 0.494931 | + | 1.52324i | 0.817065 | + | 0.576546i | \(0.195600\pi\) |
−0.322134 | + | 0.946694i | \(0.604400\pi\) | |||||||
\(594\) | 4.23375 | + | 7.33307i | 0.173713 | + | 0.300880i | ||||
\(595\) | −7.32851 | + | 12.6933i | −0.300440 | + | 0.520377i | ||||
\(596\) | 16.8726 | + | 3.58638i | 0.691128 | + | 0.146904i | ||||
\(597\) | −5.41447 | + | 16.6640i | −0.221600 | + | 0.682014i | ||||
\(598\) | 0.830514 | − | 0.176531i | 0.0339623 | − | 0.00721890i | ||||
\(599\) | 0.259657 | − | 2.47047i | 0.0106093 | − | 0.100941i | −0.987936 | − | 0.154864i | \(-0.950506\pi\) |
0.998545 | + | 0.0539234i | \(0.0171727\pi\) | |||||||
\(600\) | 6.99464 | − | 7.76834i | 0.285555 | − | 0.317141i | ||||
\(601\) | 6.22338 | − | 2.77083i | 0.253857 | − | 0.113024i | −0.275863 | − | 0.961197i | \(-0.588964\pi\) |
0.529720 | + | 0.848173i | \(0.322297\pi\) | |||||||
\(602\) | 29.1155 | + | 12.9630i | 1.18666 | + | 0.528334i | ||||
\(603\) | −1.86205 | − | 2.06801i | −0.0758284 | − | 0.0842160i | ||||
\(604\) | −41.5013 | + | 30.1524i | −1.68866 | + | 1.22689i | ||||
\(605\) | 2.27391 | − | 1.65209i | 0.0924475 | − | 0.0671671i | ||||
\(606\) | −3.56740 | − | 3.96200i | −0.144916 | − | 0.160945i | ||||
\(607\) | −10.6075 | − | 4.72274i | −0.430543 | − | 0.191690i | 0.180011 | − | 0.983665i | \(-0.442387\pi\) |
−0.610554 | + | 0.791974i | \(0.709053\pi\) | |||||||
\(608\) | 40.1594 | − | 17.8801i | 1.62868 | − | 0.725135i | ||||
\(609\) | 7.47776 | − | 8.30490i | 0.303014 | − | 0.336531i | ||||
\(610\) | −1.94773 | + | 18.5314i | −0.0788613 | + | 0.750315i | ||||
\(611\) | −0.794145 | + | 0.168801i | −0.0321277 | + | 0.00682895i | ||||
\(612\) | 4.54398 | − | 13.9849i | 0.183679 | − | 0.565307i | ||||
\(613\) | 1.63940 | + | 0.348466i | 0.0662149 | + | 0.0140744i | 0.240900 | − | 0.970550i | \(-0.422557\pi\) |
−0.174685 | + | 0.984624i | \(0.555891\pi\) | |||||||
\(614\) | −18.2699 | + | 31.6444i | −0.737314 | + | 1.27706i | ||||
\(615\) | 3.64804 | + | 6.31860i | 0.147103 | + | 0.254790i | ||||
\(616\) | −9.73994 | − | 29.9765i | −0.392434 | − | 1.20779i | ||||
\(617\) | −2.50907 | − | 23.8722i | −0.101011 | − | 0.961058i | −0.921233 | − | 0.389012i | \(-0.872817\pi\) |
0.820222 | − | 0.572046i | \(-0.193850\pi\) | |||||||
\(618\) | −10.3244 | − | 7.50111i | −0.415308 | − | 0.301739i | ||||
\(619\) | −16.4099 | −0.659569 | −0.329784 | − | 0.944056i | \(-0.606976\pi\) | ||||
−0.329784 | + | 0.944056i | \(0.606976\pi\) | |||||||
\(620\) | 15.9208 | − | 3.30052i | 0.639396 | − | 0.132552i | ||||
\(621\) | 4.50436 | 0.180754 | ||||||||
\(622\) | −18.8350 | − | 13.6844i | −0.755213 | − | 0.548695i | ||||
\(623\) | 2.64213 | + | 25.1382i | 0.105855 | + | 1.00714i | ||||
\(624\) | 0.0129954 | + | 0.0399957i | 0.000520233 | + | 0.00160111i | ||||
\(625\) | −6.31396 | − | 10.9361i | −0.252558 | − | 0.437444i | ||||
\(626\) | −14.1415 | + | 24.4937i | −0.565206 | + | 0.978966i | ||||
\(627\) | −25.9035 | − | 5.50597i | −1.03449 | − | 0.219887i | ||||
\(628\) | −13.3383 | + | 41.0512i | −0.532258 | + | 1.63812i | ||||
\(629\) | 42.6361 | − | 9.06258i | 1.70001 | − | 0.361349i | ||||
\(630\) | −0.735613 | + | 6.99889i | −0.0293075 | + | 0.278842i | ||||
\(631\) | −6.72271 | + | 7.46633i | −0.267627 | + | 0.297230i | −0.861947 | − | 0.506999i | \(-0.830755\pi\) |
0.594320 | + | 0.804229i | \(0.297421\pi\) | |||||||
\(632\) | 19.8397 | − | 8.83321i | 0.789181 | − | 0.351366i | ||||
\(633\) | −19.1254 | − | 8.51519i | −0.760168 | − | 0.338449i | ||||
\(634\) | 9.00216 | + | 9.99791i | 0.357521 | + | 0.397068i | ||||
\(635\) | −5.23001 | + | 3.79982i | −0.207547 | + | 0.150791i | ||||
\(636\) | −15.6152 | + | 11.3451i | −0.619181 | + | 0.449861i | ||||
\(637\) | 0.225324 | + | 0.250248i | 0.00892766 | + | 0.00991517i | ||||
\(638\) | 26.0145 | + | 11.5824i | 1.02993 | + | 0.458552i | ||||
\(639\) | −5.10984 | + | 2.27505i | −0.202142 | + | 0.0899995i | ||||
\(640\) | 10.7073 | − | 11.8916i | 0.423242 | − | 0.470058i | ||||
\(641\) | −1.02323 | + | 9.73540i | −0.0404152 | + | 0.384525i | 0.955553 | + | 0.294819i | \(0.0952594\pi\) |
−0.995968 | + | 0.0897060i | \(0.971407\pi\) | |||||||
\(642\) | −32.5160 | + | 6.91150i | −1.28331 | + | 0.272775i | ||||
\(643\) | 2.86045 | − | 8.80356i | 0.112805 | − | 0.347178i | −0.878678 | − | 0.477415i | \(-0.841574\pi\) |
0.991483 | + | 0.130237i | \(0.0415738\pi\) | |||||||
\(644\) | −45.6822 | − | 9.71006i | −1.80013 | − | 0.382630i | ||||
\(645\) | 1.98350 | − | 3.43553i | 0.0781004 | − | 0.135274i | ||||
\(646\) | 37.7336 | + | 65.3566i | 1.48461 | + | 2.57142i | ||||
\(647\) | −5.01831 | − | 15.4448i | −0.197290 | − | 0.607197i | −0.999942 | − | 0.0107491i | \(-0.996578\pi\) |
0.802652 | − | 0.596448i | \(-0.203422\pi\) | |||||||
\(648\) | −0.264951 | − | 2.52084i | −0.0104083 | − | 0.0990281i | ||||
\(649\) | −32.6324 | − | 23.7088i | −1.28093 | − | 0.930653i | ||||
\(650\) | −0.777379 | −0.0304913 | ||||||||
\(651\) | 12.4490 | − | 13.6870i | 0.487914 | − | 0.536436i | ||||
\(652\) | 27.0931 | 1.06105 | ||||||||
\(653\) | −18.4578 | − | 13.4104i | −0.722310 | − | 0.524789i | 0.164811 | − | 0.986325i | \(-0.447299\pi\) |
−0.887122 | + | 0.461536i | \(0.847299\pi\) | |||||||
\(654\) | −3.65216 | − | 34.7480i | −0.142811 | − | 1.35875i | ||||
\(655\) | −3.67612 | − | 11.3139i | −0.143638 | − | 0.442071i | ||||
\(656\) | −1.96770 | − | 3.40816i | −0.0768257 | − | 0.133066i | ||||
\(657\) | 4.63226 | − | 8.02331i | 0.180722 | − | 0.313019i | ||||
\(658\) | 71.6812 | + | 15.2363i | 2.79443 | + | 0.593973i | ||||
\(659\) | 4.63413 | − | 14.2624i | 0.180520 | − | 0.555584i | −0.819322 | − | 0.573333i | \(-0.805650\pi\) |
0.999842 | + | 0.0177494i | \(0.00565010\pi\) | |||||||
\(660\) | −10.6890 | + | 2.27203i | −0.416070 | + | 0.0884385i | ||||
\(661\) | −0.293892 | + | 2.79620i | −0.0114311 | + | 0.108759i | −0.998750 | − | 0.0499924i | \(-0.984080\pi\) |
0.987319 | + | 0.158752i | \(0.0507470\pi\) | |||||||
\(662\) | −43.7086 | + | 48.5433i | −1.69878 | + | 1.88669i | ||||
\(663\) | −0.358650 | + | 0.159681i | −0.0139288 | + | 0.00620151i | ||||
\(664\) | −1.77182 | − | 0.788864i | −0.0687599 | − | 0.0306139i | ||||
\(665\) | −14.7274 | − | 16.3564i | −0.571102 | − | 0.634274i | ||||
\(666\) | 16.9317 | − | 12.3016i | 0.656089 | − | 0.476676i | ||||
\(667\) | 12.2552 | − | 8.90395i | 0.474524 | − | 0.344762i | ||||
\(668\) | −4.08525 | − | 4.53713i | −0.158063 | − | 0.175547i | ||||
\(669\) | 1.11608 | + | 0.496910i | 0.0431501 | + | 0.0192117i | ||||
\(670\) | 5.38387 | − | 2.39705i | 0.207997 | − | 0.0926062i | ||||
\(671\) | −22.0310 | + | 24.4679i | −0.850495 | + | 0.944571i | ||||
\(672\) | 2.15764 | − | 20.5286i | 0.0832329 | − | 0.791908i | ||||
\(673\) | −40.1065 | + | 8.52489i | −1.54599 | + | 0.328610i | −0.900397 | − | 0.435070i | \(-0.856724\pi\) |
−0.645594 | + | 0.763681i | \(0.723390\pi\) | |||||||
\(674\) | 3.21221 | − | 9.88616i | 0.123730 | − | 0.380801i | ||||
\(675\) | −4.03392 | − | 0.857436i | −0.155266 | − | 0.0330027i | ||||
\(676\) | 20.2704 | − | 35.1093i | 0.779629 | − | 1.35036i | ||||
\(677\) | 14.1711 | + | 24.5451i | 0.544639 | + | 0.943343i | 0.998630 | + | 0.0523363i | \(0.0166668\pi\) |
−0.453990 | + | 0.891007i | \(0.650000\pi\) | |||||||
\(678\) | 2.86147 | + | 8.80671i | 0.109894 | + | 0.338220i | ||||
\(679\) | −1.09843 | − | 10.4508i | −0.0421537 | − | 0.401066i | ||||
\(680\) | 9.04492 | + | 6.57152i | 0.346857 | + | 0.252006i | ||||
\(681\) | −16.4452 | −0.630181 | ||||||||
\(682\) | 42.9722 | + | 19.3919i | 1.64549 | + | 0.742553i | ||||
\(683\) | −3.06057 | −0.117109 | −0.0585547 | − | 0.998284i | \(-0.518649\pi\) | ||||
−0.0585547 | + | 0.998284i | \(0.518649\pi\) | |||||||
\(684\) | 17.8640 | + | 12.9790i | 0.683049 | + | 0.496264i | ||||
\(685\) | 1.38291 | + | 13.1575i | 0.0528381 | + | 0.502721i | ||||
\(686\) | 6.87239 | + | 21.1510i | 0.262389 | + | 0.807550i | ||||
\(687\) | 2.05409 | + | 3.55779i | 0.0783684 | + | 0.135738i | ||||
\(688\) | −1.06987 | + | 1.85307i | −0.0407885 | + | 0.0706477i | ||||
\(689\) | 0.504057 | + | 0.107141i | 0.0192031 | + | 0.00408174i | ||||
\(690\) | −2.94781 | + | 9.07244i | −0.112221 | + | 0.345382i | ||||
\(691\) | 19.0254 | − | 4.04397i | 0.723760 | − | 0.153840i | 0.168721 | − | 0.985664i | \(-0.446036\pi\) |
0.555040 | + | 0.831824i | \(0.312703\pi\) | |||||||
\(692\) | 3.14439 | − | 29.9169i | 0.119532 | − | 1.13727i | ||||
\(693\) | −8.32058 | + | 9.24094i | −0.316073 | + | 0.351034i | ||||
\(694\) | −8.37704 | + | 3.72970i | −0.317988 | + | 0.141577i | ||||
\(695\) | −12.5568 | − | 5.59063i | −0.476305 | − | 0.212065i | ||||
\(696\) | −5.70392 | − | 6.33484i | −0.216206 | − | 0.240122i | ||||
\(697\) | 29.7221 | − | 21.5944i | 1.12581 | − | 0.817945i | ||||
\(698\) | 4.98374 | − | 3.62090i | 0.188637 | − | 0.137053i | ||||
\(699\) | 6.29409 | + | 6.99030i | 0.238064 | + | 0.264397i | ||||
\(700\) | 39.0628 | + | 17.3919i | 1.47643 | + | 0.657351i | ||||
\(701\) | −7.30470 | + | 3.25226i | −0.275895 | + | 0.122836i | −0.540020 | − | 0.841652i | \(-0.681583\pi\) |
0.264125 | + | 0.964488i | \(0.414917\pi\) | |||||||
\(702\) | −0.126131 | + | 0.140082i | −0.00476049 | + | 0.00528706i | ||||
\(703\) | −6.84189 | + | 65.0962i | −0.258047 | + | 2.45515i | ||||
\(704\) | 47.7531 | − | 10.1502i | 1.79976 | − | 0.382552i | ||||
\(705\) | 2.81872 | − | 8.67514i | 0.106159 | − | 0.326725i | ||||
\(706\) | 22.1544 | + | 4.70907i | 0.833793 | + | 0.177228i | ||||
\(707\) | 3.91470 | − | 6.78046i | 0.147227 | − | 0.255005i | ||||
\(708\) | 16.8163 | + | 29.1266i | 0.631993 | + | 1.09464i | ||||
\(709\) | 6.92397 | + | 21.3098i | 0.260035 | + | 0.800306i | 0.992796 | + | 0.119819i | \(0.0382316\pi\) |
−0.732760 | + | 0.680487i | \(0.761768\pi\) | |||||||
\(710\) | −1.23822 | − | 11.7808i | −0.0464694 | − | 0.442127i | ||||
\(711\) | −6.93156 | − | 5.03607i | −0.259954 | − | 0.188868i | ||||
\(712\) | 19.2806 | 0.722572 | ||||||||
\(713\) | 20.3633 | − | 14.6390i | 0.762613 | − | 0.548235i | ||||
\(714\) | 35.4361 | 1.32616 | ||||||||
\(715\) | 0.236036 | + | 0.171490i | 0.00882726 | + | 0.00641338i | ||||
\(716\) | −7.62942 | − | 72.5891i | −0.285125 | − | 2.71278i | ||||
\(717\) | 7.78745 | + | 23.9673i | 0.290828 | + | 0.895076i | ||||
\(718\) | −13.1913 | − | 22.8479i | −0.492293 | − | 0.852677i | ||||
\(719\) | 21.3907 | − | 37.0498i | 0.797738 | − | 1.38172i | −0.123348 | − | 0.992364i | \(-0.539363\pi\) |
0.921086 | − | 0.389360i | \(-0.127304\pi\) | |||||||
\(720\) | −0.462154 | − | 0.0982339i | −0.0172235 | − | 0.00366096i | ||||
\(721\) | 5.79131 | − | 17.8238i | 0.215680 | − | 0.663793i | ||||
\(722\) | −68.7955 | + | 14.6229i | −2.56030 | + | 0.544210i | ||||
\(723\) | 1.18190 | − | 11.2450i | 0.0439553 | − | 0.418207i | ||||
\(724\) | −17.8326 | + | 19.8051i | −0.662742 | + | 0.736049i | ||||
\(725\) | −12.6702 | + | 5.64114i | −0.470560 | + | 0.209507i | ||||
\(726\) | −6.20792 | − | 2.76395i | −0.230398 | − | 0.102580i | ||||
\(727\) | 3.84430 | + | 4.26953i | 0.142577 | + | 0.158348i | 0.810204 | − | 0.586148i | \(-0.199356\pi\) |
−0.667627 | + | 0.744496i | \(0.732690\pi\) | |||||||
\(728\) | 0.567657 | − | 0.412427i | 0.0210388 | − | 0.0152856i | ||||
\(729\) | −0.809017 | + | 0.587785i | −0.0299636 | + | 0.0217698i | ||||
\(730\) | 13.1286 | + | 14.5808i | 0.485911 | + | 0.539659i | ||||
\(731\) | −18.2484 | − | 8.12471i | −0.674942 | − | 0.300503i | ||||
\(732\) | 25.0796 | − | 11.1661i | 0.926968 | − | 0.412713i | ||||
\(733\) | 15.4416 | − | 17.1496i | 0.570348 | − | 0.633435i | −0.387101 | − | 0.922037i | \(-0.626524\pi\) |
0.957449 | + | 0.288602i | \(0.0931903\pi\) | |||||||
\(734\) | 3.70442 | − | 35.2452i | 0.136732 | − | 1.30092i | ||||
\(735\) | −3.70063 | + | 0.786594i | −0.136500 | + | 0.0290139i | ||||
\(736\) | 8.64631 | − | 26.6106i | 0.318707 | − | 0.980879i | ||||
\(737\) | 10.1858 | + | 2.16507i | 0.375200 | + | 0.0797512i | ||||
\(738\) | 8.81985 | − | 15.2764i | 0.324663 | − | 0.562333i | ||||
\(739\) | −23.5981 | − | 40.8732i | −0.868072 | − | 1.50354i | −0.863965 | − | 0.503552i | \(-0.832026\pi\) |
−0.00410684 | − | 0.999992i | \(-0.501307\pi\) | |||||||
\(740\) | 8.34648 | + | 25.6878i | 0.306823 | + | 0.944304i | ||||
\(741\) | −0.0616231 | − | 0.586305i | −0.00226378 | − | 0.0215384i | ||||
\(742\) | −37.6304 | − | 27.3401i | −1.38146 | − | 1.00369i | ||||
\(743\) | −28.5192 | −1.04627 | −0.523134 | − | 0.852250i | \(-0.675237\pi\) | ||||
−0.523134 | + | 0.852250i | \(0.675237\pi\) | |||||||
\(744\) | −9.39045 | − | 10.5352i | −0.344271 | − | 0.386238i | ||||
\(745\) | 5.17415 | 0.189566 | ||||||||
\(746\) | 54.3323 | + | 39.4748i | 1.98925 | + | 1.44527i | ||||
\(747\) | 0.0799819 | + | 0.760977i | 0.00292639 | + | 0.0278427i | ||||
\(748\) | 17.0039 | + | 52.3326i | 0.621724 | + | 1.91347i | ||||
\(749\) | −24.4090 | − | 42.2777i | −0.891886 | − | 1.54479i | ||||
\(750\) | 9.66144 | − | 16.7341i | 0.352786 | − | 0.611043i | ||||
\(751\) | −30.9879 | − | 6.58667i | −1.13076 | − | 0.240351i | −0.395720 | − | 0.918371i | \(-0.629505\pi\) |
−0.735043 | + | 0.678020i | \(0.762838\pi\) | |||||||
\(752\) | −1.52038 | + | 4.67924i | −0.0554424 | + | 0.170634i | ||||
\(753\) | −22.6425 | + | 4.81282i | −0.825140 | + | 0.175389i | ||||
\(754\) | −0.0662636 | + | 0.630456i | −0.00241318 | + | 0.0229599i | ||||
\(755\) | −10.2962 | + | 11.4351i | −0.374717 | + | 0.416165i | ||||
\(756\) | 9.47197 | − | 4.21719i | 0.344492 | − | 0.153378i | ||||
\(757\) | 28.9003 | + | 12.8672i | 1.05040 | + | 0.467668i | 0.858000 | − | 0.513649i | \(-0.171707\pi\) |
0.192399 | + | 0.981317i | \(0.438373\pi\) | |||||||
\(758\) | −18.7870 | − | 20.8651i | −0.682375 | − | 0.757854i | ||||
\(759\) | −13.6365 | + | 9.90750i | −0.494974 | + | 0.359620i | ||||
\(760\) | −13.5823 | + | 9.86812i | −0.492682 | + | 0.357954i | ||||
\(761\) | −28.0087 | − | 31.1068i | −1.01532 | − | 1.12762i | −0.991787 | − | 0.127898i | \(-0.959177\pi\) |
−0.0235278 | − | 0.999723i | \(-0.507490\pi\) | |||||||
\(762\) | 14.2783 | + | 6.35710i | 0.517247 | + | 0.230293i | ||||
\(763\) | 46.8741 | − | 20.8697i | 1.69696 | − | 0.755534i | ||||
\(764\) | 6.34930 | − | 7.05161i | 0.229709 | − | 0.255118i | ||||
\(765\) | 0.461052 | − | 4.38662i | 0.0166694 | − | 0.158599i | ||||
\(766\) | −1.00188 | + | 0.212956i | −0.0361994 | + | 0.00769442i | ||||
\(767\) | 0.277478 | − | 0.853989i | 0.0100191 | − | 0.0308358i | ||||
\(768\) | −12.3196 | − | 2.61862i | −0.444547 | − | 0.0944913i | ||||
\(769\) | −3.55549 | + | 6.15828i | −0.128214 | + | 0.222073i | −0.922985 | − | 0.384837i | \(-0.874258\pi\) |
0.794771 | + | 0.606910i | \(0.207591\pi\) | |||||||
\(770\) | −13.1673 | − | 22.8065i | −0.474517 | − | 0.821887i | ||||
\(771\) | −1.93324 | − | 5.94989i | −0.0696238 | − | 0.214280i | ||||
\(772\) | −1.85985 | − | 17.6953i | −0.0669374 | − | 0.636867i | ||||
\(773\) | 12.5396 | + | 9.11057i | 0.451019 | + | 0.327684i | 0.789998 | − | 0.613109i | \(-0.210082\pi\) |
−0.338979 | + | 0.940794i | \(0.610082\pi\) | |||||||
\(774\) | −9.59100 | −0.344741 | ||||||||
\(775\) | −21.0232 | + | 9.23380i | −0.755177 | + | 0.331688i | ||||
\(776\) | −8.01563 | −0.287744 | ||||||||
\(777\) | 24.8649 | + | 18.0654i | 0.892024 | + | 0.648093i | ||||
\(778\) | −1.77295 | − | 16.8685i | −0.0635632 | − | 0.604764i | ||||
\(779\) | 17.0480 | + | 52.4683i | 0.610807 | + | 1.87987i | ||||
\(780\) | −0.121635 | − | 0.210678i | −0.00435524 | − | 0.00754349i | ||||
\(781\) | 10.4655 | − | 18.1268i | 0.374485 | − | 0.648627i | ||||
\(782\) | 46.9844 | + | 9.98685i | 1.68016 | + | 0.357129i | ||||
\(783\) | −1.03923 | + | 3.19843i | −0.0371392 | + | 0.114303i | ||||
\(784\) | 1.99606 | − | 0.424277i | 0.0712880 | − | 0.0151527i | ||||
\(785\) | −1.35337 | + | 12.8764i | −0.0483038 | + | 0.459580i | ||||
\(786\) | −19.2450 | + | 21.3738i | −0.686447 | + | 0.762377i | ||||
\(787\) | −22.6560 | + | 10.0871i | −0.807598 | + | 0.359566i | −0.768645 | − | 0.639675i | \(-0.779069\pi\) |
−0.0389527 | + | 0.999241i | \(0.512402\pi\) | |||||||
\(788\) | 9.83118 | + | 4.37712i | 0.350221 | + | 0.155929i | ||||
\(789\) | −7.51654 | − | 8.34796i | −0.267596 | − | 0.297195i | ||||
\(790\) | 14.6797 | − | 10.6654i | 0.522279 | − | 0.379458i | ||||
\(791\) | −11.0015 | + | 7.99306i | −0.391169 | + | 0.284201i | ||||
\(792\) | 6.34680 | + | 7.04884i | 0.225524 | + | 0.250470i | ||||
\(793\) | −0.669587 | − | 0.298119i | −0.0237777 | − | 0.0105865i | ||||
\(794\) | 24.1674 | − | 10.7600i | 0.857667 | − | 0.381858i | ||||
\(795\) | −3.87402 | + | 4.30253i | −0.137397 | + | 0.152595i | ||||
\(796\) | −5.71464 | + | 54.3711i | −0.202550 | + | 1.92713i | ||||
\(797\) | −40.3427 | + | 8.57511i | −1.42901 | + | 0.303746i | −0.856499 | − | 0.516149i | \(-0.827365\pi\) |
−0.572514 | + | 0.819895i | \(0.694032\pi\) | |||||||
\(798\) | −16.4436 | + | 50.6082i | −0.582098 | + | 1.79151i | ||||
\(799\) | −44.9269 | − | 9.54951i | −1.58940 | − | 0.337837i | ||||
\(800\) | −12.8088 | + | 22.1855i | −0.452859 | + | 0.784375i | ||||
\(801\) | −3.80329 | − | 6.58750i | −0.134383 | − | 0.232758i | ||||
\(802\) | −0.352910 | − | 1.08615i | −0.0124617 | − | 0.0383531i | ||||
\(803\) | 3.62385 | + | 34.4786i | 0.127883 | + | 1.21672i | ||||
\(804\) | −7.02453 | − | 5.10362i | −0.247736 | − | 0.179991i | ||||
\(805\) | −14.0089 | −0.493750 | ||||||||
\(806\) | −0.114950 | + | 1.04321i | −0.00404894 | + | 0.0367454i | ||||
\(807\) | −16.2315 | −0.571377 | ||||||||
\(808\) | −4.83157 | − | 3.51034i | −0.169974 | − | 0.123493i | ||||
\(809\) | −4.24310 | − | 40.3704i | −0.149179 | − | 1.41935i | −0.771323 | − | 0.636444i | \(-0.780404\pi\) |
0.622143 | − | 0.782904i | \(-0.286262\pi\) | |||||||
\(810\) | −0.654436 | − | 2.01415i | −0.0229945 | − | 0.0707699i | ||||
\(811\) | 0.585304 | + | 1.01378i | 0.0205528 | + | 0.0355985i | 0.876119 | − | 0.482095i | \(-0.160124\pi\) |
−0.855566 | + | 0.517694i | \(0.826791\pi\) | |||||||
\(812\) | 17.4346 | − | 30.1975i | 0.611833 | − | 1.05973i | ||||
\(813\) | 23.7849 | + | 5.05563i | 0.834171 | + | 0.177309i | ||||
\(814\) | −24.2012 | + | 74.4836i | −0.848251 | + | 2.61065i | ||||
\(815\) | 7.94922 | − | 1.68966i | 0.278449 | − | 0.0591862i | ||||
\(816\) | −0.248685 | + | 2.36608i | −0.00870570 | + | 0.0828292i | ||||
\(817\) | 20.0712 | − | 22.2914i | 0.702203 | − | 0.779876i | ||||
\(818\) | −25.0897 | + | 11.1706i | −0.877240 | + | 0.390572i | ||||
\(819\) | −0.252887 | − | 0.112593i | −0.00883660 | − | 0.00393431i | ||||
\(820\) | 15.2328 | + | 16.9178i | 0.531954 | + | 0.590795i | ||||
\(821\) | 26.2711 | − | 19.0871i | 0.916868 | − | 0.666143i | −0.0258746 | − | 0.999665i | \(-0.508237\pi\) |
0.942742 | + | 0.333522i | \(0.108237\pi\) | |||||||
\(822\) | 25.8772 | − | 18.8009i | 0.902570 | − | 0.655756i | ||||
\(823\) | −20.4604 | − | 22.7236i | −0.713204 | − | 0.792094i | 0.272215 | − | 0.962236i | \(-0.412244\pi\) |
−0.985419 | + | 0.170143i | \(0.945577\pi\) | |||||||
\(824\) | −13.0595 | − | 5.81446i | −0.454949 | − | 0.202556i | ||||
\(825\) | 14.0983 | − | 6.27695i | 0.490839 | − | 0.218535i | ||||
\(826\) | −54.2329 | + | 60.2317i | −1.88700 | + | 2.09573i | ||||
\(827\) | 1.01864 | − | 9.69167i | 0.0354214 | − | 0.337012i | −0.962432 | − | 0.271523i | \(-0.912473\pi\) |
0.997853 | − | 0.0654891i | \(-0.0208607\pi\) | |||||||
\(828\) | 13.7473 | − | 2.92208i | 0.477752 | − | 0.101549i | ||||
\(829\) | 6.79674 | − | 20.9182i | 0.236061 | − | 0.726520i | −0.760918 | − | 0.648848i | \(-0.775251\pi\) |
0.996979 | − | 0.0776721i | \(-0.0247487\pi\) | |||||||
\(830\) | −1.58506 | − | 0.336915i | −0.0550183 | − | 0.0116945i | ||||
\(831\) | −4.86730 | + | 8.43040i | −0.168845 | + | 0.292447i | ||||
\(832\) | 0.543403 | + | 0.941201i | 0.0188391 | + | 0.0326303i | ||||
\(833\) | 5.88689 | + | 18.1180i | 0.203969 | + | 0.627751i | ||||
\(834\) | 3.47362 | + | 33.0493i | 0.120282 | + | 1.14440i | ||||
\(835\) | −1.48159 | − | 1.07644i | −0.0512724 | − | 0.0372516i | ||||
\(836\) | −82.6294 | −2.85780 | ||||||||
\(837\) | −1.74713 | + | 5.28654i | −0.0603896 | + | 0.182730i | ||||
\(838\) | −67.1141 | −2.31842 | ||||||||
\(839\) | −24.0426 | − | 17.4680i | −0.830043 | − | 0.603061i | 0.0895287 | − | 0.995984i | \(-0.471464\pi\) |
−0.919571 | + | 0.392923i | \(0.871464\pi\) | |||||||
\(840\) | 0.824021 | + | 7.84003i | 0.0284314 | + | 0.270507i | ||||
\(841\) | −5.46652 | − | 16.8242i | −0.188501 | − | 0.580145i | ||||
\(842\) | 30.6222 | + | 53.0392i | 1.05531 | + | 1.82785i | ||||
\(843\) | −5.99699 | + | 10.3871i | −0.206547 | + | 0.357750i | ||||
\(844\) | −63.8948 | − | 13.5813i | −2.19935 | − | 0.467486i | ||||
\(845\) | 3.75782 | − | 11.5654i | 0.129273 | − | 0.397861i | ||||
\(846\) | −21.5713 | + | 4.58511i | −0.741635 | + | 0.157639i | ||||
\(847\) | 1.04313 | − | 9.92471i | 0.0358423 | − | 0.341017i | ||||
\(848\) | 2.08958 | − | 2.32072i | 0.0717566 | − | 0.0796938i | ||||
\(849\) | 2.10712 | − | 0.938148i | 0.0723160 | − | 0.0321972i | ||||
\(850\) | −40.1763 | − | 17.8876i | −1.37803 | − | 0.613541i | ||||
\(851\) | 27.8768 | + | 30.9603i | 0.955605 | + | 1.06131i | ||||
\(852\) | −14.1194 | + | 10.2583i | −0.483721 | + | 0.351444i | ||||
\(853\) | 3.38030 | − | 2.45593i | 0.115739 | − | 0.0840895i | −0.528410 | − | 0.848989i | \(-0.677212\pi\) |
0.644149 | + | 0.764900i | \(0.277212\pi\) | |||||||
\(854\) | 44.2684 | + | 49.1650i | 1.51483 | + | 1.68239i | ||||
\(855\) | 6.05082 | + | 2.69400i | 0.206934 | + | 0.0921328i | ||||
\(856\) | −34.0183 | + | 15.1459i | −1.16272 | + | 0.517677i | ||||
\(857\) | −15.2169 | + | 16.9000i | −0.519798 | + | 0.577294i | −0.944696 | − | 0.327947i | \(-0.893643\pi\) |
0.424898 | + | 0.905241i | \(0.360310\pi\) | |||||||
\(858\) | 0.0737321 | − | 0.701514i | 0.00251717 | − | 0.0239493i | ||||
\(859\) | −33.6767 | + | 7.15820i | −1.14903 | + | 0.244235i | −0.742786 | − | 0.669528i | \(-0.766496\pi\) |
−0.406247 | + | 0.913763i | \(0.633163\pi\) | |||||||
\(860\) | 3.82495 | − | 11.7720i | 0.130430 | − | 0.401421i | ||||
\(861\) | 25.3386 | + | 5.38589i | 0.863537 | + | 0.183550i | ||||
\(862\) | 31.1215 | − | 53.9040i | 1.06000 | − | 1.83598i | ||||
\(863\) | 9.13483 | + | 15.8220i | 0.310953 | + | 0.538587i | 0.978569 | − | 0.205919i | \(-0.0660184\pi\) |
−0.667616 | + | 0.744506i | \(0.732685\pi\) | |||||||
\(864\) | 1.91954 | + | 5.90774i | 0.0653041 | + | 0.200985i | ||||
\(865\) | −0.943187 | − | 8.97383i | −0.0320693 | − | 0.305119i | ||||
\(866\) | −45.3980 | − | 32.9836i | −1.54269 | − | 1.12083i | ||||
\(867\) | −5.20995 | −0.176939 | ||||||||
\(868\) | 29.1152 | − | 49.8487i | 0.988235 | − | 1.69197i | ||||
\(869\) | 32.0617 | 1.08762 | ||||||||
\(870\) | −5.76200 | − | 4.18634i | −0.195350 | − | 0.141930i | ||||
\(871\) | 0.0242316 | + | 0.230548i | 0.000821055 | + | 0.00781182i | ||||
\(872\) | −12.0945 | − | 37.2229i | −0.409570 | − | 1.26053i | ||||
\(873\) | 1.58116 | + | 2.73865i | 0.0535142 | + | 0.0926893i | ||||
\(874\) | −36.0652 | + | 62.4667i | −1.21992 | + | 2.11297i | ||||
\(875\) | 27.7564 | + | 5.89981i | 0.938338 | + | 0.199450i | ||||
\(876\) | 8.93275 | − | 27.4922i | 0.301810 | − | 0.928875i | ||||
\(877\) | 26.7079 | − | 5.67693i | 0.901860 | − | 0.191696i | 0.266430 | − | 0.963854i | \(-0.414156\pi\) |
0.635430 | + | 0.772158i | \(0.280823\pi\) | |||||||
\(878\) | 6.94662 | − | 66.0927i | 0.234437 | − | 2.23052i | ||||
\(879\) | −17.6066 | + | 19.5542i | −0.593857 | + | 0.659545i | ||||
\(880\) | 1.61520 | − | 0.719131i | 0.0544482 | − | 0.0242419i | ||||
\(881\) | −17.5558 | − | 7.81633i | −0.591469 | − | 0.263339i | 0.0891004 | − | 0.996023i | \(-0.471601\pi\) |
−0.680569 | + | 0.732684i | \(0.738267\pi\) | |||||||
\(882\) | 6.12045 | + | 6.79745i | 0.206086 | + | 0.228882i | ||||
\(883\) | 20.1825 | − | 14.6635i | 0.679196 | − | 0.493465i | −0.193895 | − | 0.981022i | \(-0.562112\pi\) |
0.873091 | + | 0.487558i | \(0.162112\pi\) | |||||||
\(884\) | −0.991011 | + | 0.720012i | −0.0333313 | + | 0.0242166i | ||||
\(885\) | 6.75044 | + | 7.49712i | 0.226913 | + | 0.252013i | ||||
\(886\) | 58.3186 | + | 25.9651i | 1.95925 | + | 0.872315i | ||||
\(887\) | −29.9451 | + | 13.3324i | −1.00546 | + | 0.447659i | −0.842339 | − | 0.538948i | \(-0.818822\pi\) |
−0.163119 | + | 0.986606i | \(0.552155\pi\) | |||||||
\(888\) | 15.6871 | − | 17.4223i | 0.526424 | − | 0.584653i | ||||
\(889\) | −2.39920 | + | 22.8269i | −0.0804667 | + | 0.765590i | ||||
\(890\) | 15.7572 | − | 3.34929i | 0.528182 | − | 0.112269i | ||||
\(891\) | 1.15636 | − | 3.55892i | 0.0387397 | − | 0.119228i | ||||
\(892\) | 3.72863 | + | 0.792544i | 0.124844 | + | 0.0265363i | ||||
\(893\) | 34.4858 | − | 59.7312i | 1.15402 | − | 1.99883i | ||||
\(894\) | −6.25475 | − | 10.8335i | −0.209190 | − | 0.362328i | ||||
\(895\) | −6.76552 | − | 20.8221i | −0.226146 | − | 0.696007i | ||||
\(896\) | −5.93869 | − | 56.5028i | −0.198398 | − | 1.88763i | ||||
\(897\) | −0.303569 | − | 0.220556i | −0.0101359 | − | 0.00736415i | ||||
\(898\) | 42.5293 | 1.41922 | ||||||||
\(899\) | 5.69662 | + | 17.8370i | 0.189993 | + | 0.594896i | ||||
\(900\) | −12.8678 | −0.428925 | ||||||||
\(901\) | 23.5852 | + | 17.1357i | 0.785738 | + | 0.570872i | ||||
\(902\) | 6.89982 | + | 65.6474i | 0.229739 | + | 2.18582i | ||||
\(903\) | −4.35245 | − | 13.3954i | −0.144840 | − | 0.445773i | ||||
\(904\) | 5.18640 | + | 8.98311i | 0.172497 | + | 0.298774i | ||||
\(905\) | −3.99700 | + | 6.92301i | −0.132865 | + | 0.230129i | ||||
\(906\) | 36.3891 | + | 7.73474i | 1.20895 | + | 0.256969i | ||||
\(907\) | −8.23416 | + | 25.3421i | −0.273411 | + | 0.841472i | 0.716225 | + | 0.697870i | \(0.245869\pi\) |
−0.989636 | + | 0.143602i | \(0.954131\pi\) | |||||||
\(908\) | −50.1907 | + | 10.6684i | −1.66564 | + | 0.354042i | ||||
\(909\) | −0.246282 | + | 2.34322i | −0.00816867 | + | 0.0777197i | ||||
\(910\) | 0.392277 | − | 0.435667i | 0.0130038 | − | 0.0144422i | ||||
\(911\) | 47.9936 | − | 21.3681i | 1.59010 | − | 0.707958i | 0.594717 | − | 0.803935i | \(-0.297264\pi\) |
0.995384 | + | 0.0959773i | \(0.0305976\pi\) | |||||||
\(912\) | −3.26372 | − | 1.45310i | −0.108073 | − | 0.0481170i | ||||
\(913\) | −1.91593 | − | 2.12786i | −0.0634082 | − | 0.0704219i | ||||
\(914\) | 64.1946 | − | 46.6401i | 2.12337 | − | 1.54272i | ||||
\(915\) | 6.66207 | − | 4.84028i | 0.220241 | − | 0.160015i | ||||
\(916\) | 8.57710 | + | 9.52583i | 0.283395 | + | 0.314742i | ||||
\(917\) | −38.5856 | − | 17.1794i | −1.27421 | − | 0.567314i | ||||
\(918\) | −9.74197 | + | 4.33740i | −0.321533 | + | 0.143156i | ||||
\(919\) | 38.6851 | − | 42.9642i | 1.27610 | − | 1.41726i | 0.414200 | − | 0.910186i | \(-0.364061\pi\) |
0.861904 | − | 0.507071i | \(-0.169272\pi\) | |||||||
\(920\) | −1.11697 | + | 10.6273i | −0.0368254 | + | 0.350370i | ||||
\(921\) | 15.7953 | − | 3.35740i | 0.520473 | − | 0.110630i | ||||
\(922\) | −18.7423 | + | 57.6828i | −0.617244 | + | 1.89968i | ||||
\(923\) | 0.455773 | + | 0.0968775i | 0.0150019 | + | 0.00318876i | ||||
\(924\) | −19.3996 | + | 33.6011i | −0.638200 | + | 1.10539i | ||||
\(925\) | −19.0718 | − | 33.0334i | −0.627078 | − | 1.08613i | ||||
\(926\) | −17.7579 | − | 54.6532i | −0.583561 | − | 1.79602i | ||||
\(927\) | 0.589520 | + | 5.60891i | 0.0193624 | + | 0.184221i | ||||
\(928\) | 16.9007 | + | 12.2790i | 0.554791 | + | 0.403079i | ||||
\(929\) | −51.9672 | −1.70499 | −0.852494 | − | 0.522737i | \(-0.824911\pi\) | ||||
−0.852494 | + | 0.522737i | \(0.824911\pi\) | |||||||
\(930\) | −9.50449 | − | 6.97868i | −0.311664 | − | 0.228840i | ||||
\(931\) | −28.6070 | −0.937555 | ||||||||
\(932\) | 23.7443 | + | 17.2513i | 0.777771 | + | 0.565084i | ||||
\(933\) | 1.07547 | + | 10.2324i | 0.0352094 | + | 0.334995i | ||||
\(934\) | −18.0870 | − | 55.6662i | −0.591826 | − | 1.82145i | ||||
\(935\) | 8.25274 | + | 14.2942i | 0.269893 | + | 0.467469i | ||||
\(936\) | −0.105577 | + | 0.182864i | −0.00345089 | + | 0.00597711i | ||||
\(937\) | 43.2031 | + | 9.18310i | 1.41138 | + | 0.299999i | 0.849662 | − | 0.527328i | \(-0.176806\pi\) |
0.561721 | + | 0.827327i | \(0.310139\pi\) | |||||||
\(938\) | 6.46599 | − | 19.9003i | 0.211122 | − | 0.649767i | ||||
\(939\) | 12.2260 | − | 2.59873i | 0.398982 | − | 0.0848062i | ||||
\(940\) | 2.97499 | − | 28.3051i | 0.0970333 | − | 0.923210i | ||||
\(941\) | 4.89259 | − | 5.43377i | 0.159494 | − | 0.177136i | −0.658101 | − | 0.752929i | \(-0.728640\pi\) |
0.817595 | + | 0.575794i | \(0.195307\pi\) | |||||||
\(942\) | 28.5965 | − | 12.7320i | 0.931723 | − | 0.414830i | ||||
\(943\) | 32.0783 | + | 14.2822i | 1.04461 | + | 0.465092i | ||||
\(944\) | −3.64108 | − | 4.04383i | −0.118507 | − | 0.131616i | ||||
\(945\) | 2.51611 | − | 1.82806i | 0.0818490 | − | 0.0594668i | ||||
\(946\) | 29.0358 | − | 21.0957i | 0.944035 | − | 0.685882i | ||||
\(947\) | −4.81518 | − | 5.34780i | −0.156472 | − | 0.173780i | 0.659812 | − | 0.751431i | \(-0.270636\pi\) |
−0.816284 | + | 0.577651i | \(0.803969\pi\) | |||||||
\(948\) | −24.4221 | − | 10.8734i | −0.793194 | − | 0.353153i | ||||
\(949\) | −0.705050 | + | 0.313909i | −0.0228869 | + | 0.0101899i | ||||
\(950\) | 44.1895 | − | 49.0774i | 1.43370 | − | 1.59228i | ||||
\(951\) | 0.621481 | − | 5.91299i | 0.0201529 | − | 0.191742i | ||||
\(952\) | 38.8275 | − | 8.25305i | 1.25841 | − | 0.267483i | ||||
\(953\) | −16.0592 | + | 49.4251i | −0.520208 | + | 1.60104i | 0.253393 | + | 0.967364i | \(0.418454\pi\) |
−0.773601 | + | 0.633673i | \(0.781546\pi\) | |||||||
\(954\) | 13.6916 | + | 2.91025i | 0.443283 | + | 0.0942228i | ||||
\(955\) | 1.42314 | − | 2.46494i | 0.0460516 | − | 0.0797637i | ||||
\(956\) | 39.3154 | + | 68.0963i | 1.27155 | + | 2.20239i | ||||
\(957\) | −3.88889 | − | 11.9688i | −0.125710 | − | 0.386895i | ||||
\(958\) | −1.26320 | − | 12.0186i | −0.0408123 | − | 0.388303i | ||||
\(959\) | 38.0018 | + | 27.6099i | 1.22714 | + | 0.891571i | ||||
\(960\) | −12.2103 | −0.394086 | ||||||||
\(961\) | 9.28265 | + | 29.5776i | 0.299440 | + | 0.954115i | ||||
\(962\) | −1.74345 | −0.0562110 | ||||||||
\(963\) | 11.8852 | + | 8.63513i | 0.382997 | + | 0.278263i | ||||
\(964\) | −3.68774 | − | 35.0865i | −0.118774 | − | 1.13006i | ||||
\(965\) | −1.64925 | − | 5.07587i | −0.0530913 | − | 0.163398i | ||||
\(966\) | 16.9346 | + | 29.3316i | 0.544863 | + | 0.943730i | ||||
\(967\) | −4.51214 | + | 7.81526i | −0.145101 | + | 0.251322i | −0.929411 | − | 0.369048i | \(-0.879684\pi\) |
0.784310 | + | 0.620369i | \(0.213017\pi\) | |||||||
\(968\) | −7.44577 | − | 1.58265i | −0.239316 | − | 0.0508682i | ||||
\(969\) | 10.3062 | − | 31.7192i | 0.331083 | − | 1.01897i | ||||
\(970\) | −6.55081 | + | 1.39242i | −0.210334 | + | 0.0447079i | ||||
\(971\) | −5.43756 | + | 51.7349i | −0.174500 | + | 1.66025i | 0.460440 | + | 0.887691i | \(0.347692\pi\) |
−0.634940 | + | 0.772562i | \(0.718975\pi\) | |||||||
\(972\) | −2.08781 | + | 2.31875i | −0.0669665 | + | 0.0743739i | ||||
\(973\) | −44.5826 | + | 19.8495i | −1.42925 | + | 0.636344i | ||||
\(974\) | −50.0623 | − | 22.2892i | −1.60410 | − | 0.714191i | ||||
\(975\) | 0.229880 | + | 0.255307i | 0.00736205 | + | 0.00817638i | ||||
\(976\) | −3.59342 | + | 2.61077i | −0.115023 | + | 0.0835688i | ||||
\(977\) | −36.6807 | + | 26.6501i | −1.17352 | + | 0.852612i | −0.991426 | − | 0.130669i | \(-0.958288\pi\) |
−0.182094 | + | 0.983281i | \(0.558288\pi\) | |||||||
\(978\) | −13.1472 | − | 14.6014i | −0.420400 | − | 0.466901i | ||||
\(979\) | 26.0035 | + | 11.5775i | 0.831076 | + | 0.370019i | ||||
\(980\) | −10.7840 | + | 4.80137i | −0.344484 | + | 0.153374i | ||||
\(981\) | −10.3320 | + | 11.4748i | −0.329875 | + | 0.366363i | ||||
\(982\) | 1.57687 | − | 15.0029i | 0.0503200 | − | 0.478763i | ||||
\(983\) | 28.2499 | − | 6.00471i | 0.901033 | − | 0.191520i | 0.265970 | − | 0.963981i | \(-0.414308\pi\) |
0.635062 | + | 0.772461i | \(0.280974\pi\) | |||||||
\(984\) | 6.10608 | − | 18.7926i | 0.194655 | − | 0.599085i | ||||
\(985\) | 3.15749 | + | 0.671145i | 0.100606 | + | 0.0213844i | ||||
\(986\) | −17.9315 | + | 31.0583i | −0.571056 | + | 0.989098i | ||||
\(987\) | −16.1930 | − | 28.0472i | −0.515430 | − | 0.892751i | ||||
\(988\) | −0.568423 | − | 1.74943i | −0.0180839 | − | 0.0556566i | ||||
\(989\) | −1.99567 | − | 18.9875i | −0.0634586 | − | 0.603768i | ||||
\(990\) | 6.41143 | + | 4.65817i | 0.203769 | + | 0.148047i | ||||
\(991\) | 36.2495 | 1.15150 | 0.575752 | − | 0.817624i | \(-0.304709\pi\) | ||||
0.575752 | + | 0.817624i | \(0.304709\pi\) | |||||||
\(992\) | 27.8778 | + | 20.4693i | 0.885123 | + | 0.649902i | ||||
\(993\) | 28.8678 | 0.916091 | ||||||||
\(994\) | −34.0257 | − | 24.7211i | −1.07923 | − | 0.784107i | ||||
\(995\) | 1.71416 | + | 16.3091i | 0.0543424 | + | 0.517033i | ||||
\(996\) | 0.737768 | + | 2.27062i | 0.0233771 | + | 0.0719472i | ||||
\(997\) | 20.9756 | + | 36.3309i | 0.664305 | + | 1.15061i | 0.979473 | + | 0.201574i | \(0.0646058\pi\) |
−0.315168 | + | 0.949036i | \(0.602061\pi\) | |||||||
\(998\) | 3.19100 | − | 5.52698i | 0.101009 | − | 0.174953i | ||||
\(999\) | −9.04698 | − | 1.92299i | −0.286234 | − | 0.0608409i |
(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 | 93.2.m.a.10.1 | ✓ | 16 | |
3.2 | odd | 2 | 279.2.y.b.10.2 | 16 | |||
31.11 | odd | 30 | 2883.2.a.n.1.8 | 8 | |||
31.20 | even | 15 | 2883.2.a.m.1.8 | 8 | |||
31.28 | even | 15 | inner | 93.2.m.a.28.1 | yes | 16 | |
93.11 | even | 30 | 8649.2.a.bi.1.1 | 8 | |||
93.20 | odd | 30 | 8649.2.a.bj.1.1 | 8 | |||
93.59 | odd | 30 | 279.2.y.b.28.2 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
93.2.m.a.10.1 | ✓ | 16 | 1.1 | even | 1 | trivial | |
93.2.m.a.28.1 | yes | 16 | 31.28 | even | 15 | inner | |
279.2.y.b.10.2 | 16 | 3.2 | odd | 2 | |||
279.2.y.b.28.2 | 16 | 93.59 | odd | 30 | |||
2883.2.a.m.1.8 | 8 | 31.20 | even | 15 | |||
2883.2.a.n.1.8 | 8 | 31.11 | odd | 30 | |||
8649.2.a.bi.1.1 | 8 | 93.11 | even | 30 | |||
8649.2.a.bj.1.1 | 8 | 93.20 | odd | 30 |