Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [430,2,Mod(3,430)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(430, base_ring=CyclotomicField(84))
chi = DirichletCharacter(H, H._module([63, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("430.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 430 = 2 \cdot 5 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 430.x (of order \(84\), degree \(24\), 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: | \(3.43356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(528\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{84})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{84}]$ |
Embedding invariants
Embedding label | 3.17 | ||
Character | \(\chi\) | \(=\) | 430.3 |
Dual form | 430.2.x.a.287.17 |
$q$-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 \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).
\(n\) | \(87\) | \(261\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.330279 | + | 0.943883i | 0.233543 | + | 0.667426i | ||||
\(3\) | 0.0217181 | + | 0.0252369i | 0.0125390 | + | 0.0145705i | 0.764206 | − | 0.644972i | \(-0.223131\pi\) |
−0.751667 | + | 0.659543i | \(0.770750\pi\) | |||||||
\(4\) | −0.781831 | + | 0.623490i | −0.390916 | + | 0.311745i | ||||
\(5\) | −2.02196 | − | 0.954820i | −0.904248 | − | 0.427008i | ||||
\(6\) | −0.0166477 | + | 0.0288346i | −0.00679638 | + | 0.0117717i | ||||
\(7\) | −0.751874 | + | 2.80603i | −0.284182 | + | 1.06058i | 0.665254 | + | 0.746617i | \(0.268323\pi\) |
−0.949435 | + | 0.313963i | \(0.898343\pi\) | |||||||
\(8\) | −0.846724 | − | 0.532032i | −0.299362 | − | 0.188102i | ||||
\(9\) | 0.446962 | − | 2.96540i | 0.148987 | − | 0.988465i | ||||
\(10\) | 0.233427 | − | 2.22385i | 0.0738162 | − | 0.703243i | ||||
\(11\) | −3.37331 | + | 4.23000i | −1.01709 | + | 1.27539i | −0.0562132 | + | 0.998419i | \(0.517903\pi\) |
−0.960878 | + | 0.276973i | \(0.910669\pi\) | |||||||
\(12\) | −0.0327149 | − | 0.00618999i | −0.00944397 | − | 0.00178690i | ||||
\(13\) | −2.22171 | − | 0.0831305i | −0.616192 | − | 0.0230563i | −0.272526 | − | 0.962148i | \(-0.587859\pi\) |
−0.343665 | + | 0.939092i | \(0.611669\pi\) | |||||||
\(14\) | −2.89689 | + | 0.217092i | −0.774228 | + | 0.0580203i | ||||
\(15\) | −0.0198165 | − | 0.0717649i | −0.00511659 | − | 0.0185296i | ||||
\(16\) | 0.222521 | − | 0.974928i | 0.0556302 | − | 0.243732i | ||||
\(17\) | 0.425029 | − | 0.804194i | 0.103085 | − | 0.195046i | −0.827178 | − | 0.561940i | \(-0.810055\pi\) |
0.930263 | + | 0.366894i | \(0.119579\pi\) | |||||||
\(18\) | 2.94661 | − | 0.557529i | 0.694523 | − | 0.131411i | ||||
\(19\) | −7.31961 | + | 1.10325i | −1.67923 | + | 0.253104i | −0.918345 | − | 0.395780i | \(-0.870474\pi\) |
−0.760888 | + | 0.648884i | \(0.775236\pi\) | |||||||
\(20\) | 2.17615 | − | 0.514163i | 0.486602 | − | 0.114970i | ||||
\(21\) | −0.0871449 | + | 0.0419668i | −0.0190166 | + | 0.00915790i | ||||
\(22\) | −5.10676 | − | 1.78693i | −1.08876 | − | 0.380975i | ||||
\(23\) | 0.637898 | − | 1.46208i | 0.133011 | − | 0.304864i | −0.837293 | − | 0.546755i | \(-0.815863\pi\) |
0.970303 | + | 0.241891i | \(0.0777676\pi\) | |||||||
\(24\) | −0.00496241 | − | 0.0329234i | −0.00101295 | − | 0.00672047i | ||||
\(25\) | 3.17664 | + | 3.86121i | 0.635328 | + | 0.772243i | ||||
\(26\) | −0.655319 | − | 2.12449i | −0.128519 | − | 0.416647i | ||||
\(27\) | 0.169120 | − | 0.106265i | 0.0325473 | − | 0.0204508i | ||||
\(28\) | −1.16169 | − | 2.66263i | −0.219539 | − | 0.503190i | ||||
\(29\) | −0.379381 | − | 5.06249i | −0.0704493 | − | 0.940081i | −0.914700 | − | 0.404133i | \(-0.867573\pi\) |
0.844251 | − | 0.535948i | \(-0.180046\pi\) | |||||||
\(30\) | 0.0611927 | − | 0.0424069i | 0.0111722 | − | 0.00774240i | ||||
\(31\) | −8.30322 | + | 5.66104i | −1.49130 | + | 1.01675i | −0.502994 | + | 0.864290i | \(0.667768\pi\) |
−0.988309 | + | 0.152463i | \(0.951279\pi\) | |||||||
\(32\) | 0.993712 | − | 0.111964i | 0.175665 | − | 0.0197927i | ||||
\(33\) | −0.180014 | + | 0.00673565i | −0.0313364 | + | 0.00117253i | ||||
\(34\) | 0.899443 | + | 0.135569i | 0.154253 | + | 0.0232499i | ||||
\(35\) | 4.19951 | − | 4.95578i | 0.709847 | − | 0.837679i | ||||
\(36\) | 1.49945 | + | 2.59712i | 0.249908 | + | 0.432853i | ||||
\(37\) | −0.305519 | + | 0.0818635i | −0.0502269 | + | 0.0134583i | −0.283845 | − | 0.958870i | \(-0.591610\pi\) |
0.233618 | + | 0.972328i | \(0.424943\pi\) | |||||||
\(38\) | −3.45886 | − | 6.54447i | −0.561100 | − | 1.06165i | ||||
\(39\) | −0.0461534 | − | 0.0578746i | −0.00739046 | − | 0.00926735i | ||||
\(40\) | 1.20405 | + | 1.88422i | 0.190377 | + | 0.297921i | ||||
\(41\) | 7.22509 | + | 3.47942i | 1.12837 | + | 0.543394i | 0.902468 | − | 0.430756i | \(-0.141753\pi\) |
0.225901 | + | 0.974150i | \(0.427467\pi\) | |||||||
\(42\) | −0.0683938 | − | 0.0683938i | −0.0105534 | − | 0.0105534i | ||||
\(43\) | 6.28835 | + | 1.85920i | 0.958965 | + | 0.283525i | ||||
\(44\) | − | 5.41037i | − | 0.815644i | ||||||
\(45\) | −3.73516 | + | 5.56914i | −0.556804 | + | 0.830199i | ||||
\(46\) | 1.59071 | + | 0.119208i | 0.234538 | + | 0.0175762i | ||||
\(47\) | 2.43061 | + | 0.273864i | 0.354541 | + | 0.0399472i | 0.287439 | − | 0.957799i | \(-0.407196\pi\) |
0.0671020 | + | 0.997746i | \(0.478625\pi\) | |||||||
\(48\) | 0.0294369 | − | 0.0155579i | 0.00424885 | − | 0.00224558i | ||||
\(49\) | −1.24632 | − | 0.719564i | −0.178046 | − | 0.102795i | ||||
\(50\) | −2.59536 | + | 4.27365i | −0.367039 | + | 0.604386i | ||||
\(51\) | 0.0295262 | − | 0.00673916i | 0.00413449 | − | 0.000943671i | ||||
\(52\) | 1.78883 | − | 1.32022i | 0.248067 | − | 0.183082i | ||||
\(53\) | 0.122093 | + | 3.26300i | 0.0167707 | + | 0.448207i | 0.982233 | + | 0.187665i | \(0.0600918\pi\) |
−0.965462 | + | 0.260542i | \(0.916099\pi\) | |||||||
\(54\) | 0.156159 | + | 0.124533i | 0.0212506 | + | 0.0169468i | ||||
\(55\) | 10.8596 | − | 5.33198i | 1.46430 | − | 0.718964i | ||||
\(56\) | 2.12953 | − | 1.97591i | 0.284570 | − | 0.264043i | ||||
\(57\) | −0.186811 | − | 0.160764i | −0.0247437 | − | 0.0212937i | ||||
\(58\) | 4.65310 | − | 2.03013i | 0.610982 | − | 0.266569i | ||||
\(59\) | −3.19904 | − | 0.730159i | −0.416479 | − | 0.0950587i | 0.00914606 | − | 0.999958i | \(-0.497089\pi\) |
−0.425625 | + | 0.904900i | \(0.639946\pi\) | |||||||
\(60\) | 0.0602378 | + | 0.0437527i | 0.00777667 | + | 0.00564845i | ||||
\(61\) | 0.390092 | − | 0.572159i | 0.0499461 | − | 0.0732575i | −0.800453 | − | 0.599395i | \(-0.795408\pi\) |
0.850400 | + | 0.526137i | \(0.176360\pi\) | |||||||
\(62\) | −8.08574 | − | 5.96755i | −1.02689 | − | 0.757880i | ||||
\(63\) | 7.98494 | + | 3.48379i | 1.00601 | + | 0.438917i | ||||
\(64\) | 0.433884 | + | 0.900969i | 0.0542355 | + | 0.112621i | ||||
\(65\) | 4.41283 | + | 2.28942i | 0.547345 | + | 0.283968i | ||||
\(66\) | −0.0658125 | − | 0.167688i | −0.00810096 | − | 0.0206409i | ||||
\(67\) | −4.38236 | + | 5.93789i | −0.535391 | + | 0.725429i | −0.985899 | − | 0.167344i | \(-0.946481\pi\) |
0.450508 | + | 0.892772i | \(0.351243\pi\) | |||||||
\(68\) | 0.169106 | + | 0.893745i | 0.0205071 | + | 0.108383i | ||||
\(69\) | 0.0507522 | − | 0.0156550i | 0.00610985 | − | 0.00188464i | ||||
\(70\) | 6.06469 | + | 2.32706i | 0.724869 | + | 0.278137i | ||||
\(71\) | 3.94820 | + | 1.54955i | 0.468565 | + | 0.183898i | 0.587863 | − | 0.808960i | \(-0.299969\pi\) |
−0.119298 | + | 0.992858i | \(0.538064\pi\) | |||||||
\(72\) | −1.95614 | + | 2.27307i | −0.230533 | + | 0.267884i | ||||
\(73\) | 0.358580 | − | 9.58326i | 0.0419686 | − | 1.12164i | −0.806110 | − | 0.591765i | \(-0.798431\pi\) |
0.848079 | − | 0.529870i | \(-0.177759\pi\) | |||||||
\(74\) | −0.178176 | − | 0.261336i | −0.0207125 | − | 0.0303797i | ||||
\(75\) | −0.0284545 | + | 0.164027i | −0.00328564 | + | 0.0189402i | ||||
\(76\) | 5.03483 | − | 5.42626i | 0.577535 | − | 0.622435i | ||||
\(77\) | −9.33320 | − | 12.6460i | −1.06362 | − | 1.44115i | ||||
\(78\) | 0.0393833 | − | 0.0626782i | 0.00445928 | − | 0.00709691i | ||||
\(79\) | −2.40061 | + | 1.38600i | −0.270090 | + | 0.155937i | −0.628929 | − | 0.777463i | \(-0.716506\pi\) |
0.358838 | + | 0.933400i | \(0.383173\pi\) | |||||||
\(80\) | −1.38081 | + | 1.75880i | −0.154379 | + | 0.196640i | ||||
\(81\) | −8.59062 | − | 2.64986i | −0.954514 | − | 0.294428i | ||||
\(82\) | −0.897870 | + | 7.96882i | −0.0991532 | + | 0.880009i | ||||
\(83\) | 2.61694 | − | 2.25206i | 0.287247 | − | 0.247196i | −0.496847 | − | 0.867838i | \(-0.665509\pi\) |
0.784094 | + | 0.620642i | \(0.213128\pi\) | |||||||
\(84\) | 0.0419668 | − | 0.0871449i | 0.00457895 | − | 0.00950828i | ||||
\(85\) | −1.62725 | + | 1.22022i | −0.176500 | + | 0.132352i | ||||
\(86\) | 0.322042 | + | 6.54953i | 0.0347267 | + | 0.706254i | ||||
\(87\) | 0.119522 | − | 0.119522i | 0.0128141 | − | 0.0128141i | ||||
\(88\) | 5.10676 | − | 1.78693i | 0.544382 | − | 0.190487i | ||||
\(89\) | −1.10189 | + | 14.7037i | −0.116800 | + | 1.55859i | 0.563787 | + | 0.825920i | \(0.309344\pi\) |
−0.680587 | + | 0.732667i | \(0.738275\pi\) | |||||||
\(90\) | −6.49027 | − | 1.68618i | −0.684134 | − | 0.177739i | ||||
\(91\) | 1.90371 | − | 6.17169i | 0.199563 | − | 0.646969i | ||||
\(92\) | 0.412862 | + | 1.54082i | 0.0430438 | + | 0.160642i | ||||
\(93\) | −0.323198 | − | 0.0866005i | −0.0335140 | − | 0.00898006i | ||||
\(94\) | 0.544284 | + | 2.38466i | 0.0561386 | + | 0.245959i | ||||
\(95\) | 15.8534 | + | 4.75817i | 1.62652 | + | 0.488178i | ||||
\(96\) | 0.0244072 | + | 0.0226466i | 0.00249105 | + | 0.00231136i | ||||
\(97\) | 1.43021 | + | 12.6935i | 0.145216 | + | 1.28883i | 0.829043 | + | 0.559185i | \(0.188886\pi\) |
−0.683827 | + | 0.729645i | \(0.739686\pi\) | |||||||
\(98\) | 0.267551 | − | 1.41404i | 0.0270267 | − | 0.142840i | ||||
\(99\) | 11.0359 | + | 11.8938i | 1.10915 | + | 1.19538i | ||||
\(100\) | −4.89102 | − | 1.03822i | −0.489102 | − | 0.103822i | ||||
\(101\) | −1.62030 | + | 4.12845i | −0.161226 | + | 0.410797i | −0.988543 | − | 0.150938i | \(-0.951771\pi\) |
0.827317 | + | 0.561735i | \(0.189866\pi\) | |||||||
\(102\) | 0.0161129 | + | 0.0256435i | 0.00159541 | + | 0.00253908i | ||||
\(103\) | −2.31925 | − | 1.22576i | −0.228523 | − | 0.120778i | 0.349089 | − | 0.937090i | \(-0.386491\pi\) |
−0.577611 | + | 0.816312i | \(0.696015\pi\) | |||||||
\(104\) | 1.83695 | + | 1.25241i | 0.180128 | + | 0.122809i | ||||
\(105\) | 0.216274 | − | 0.00164745i | 0.0211062 | − | 0.000160774i | ||||
\(106\) | −3.03956 | + | 1.19294i | −0.295228 | + | 0.115869i | ||||
\(107\) | 5.59188 | − | 15.9807i | 0.540588 | − | 1.54491i | −0.272135 | − | 0.962259i | \(-0.587730\pi\) |
0.812722 | − | 0.582651i | \(-0.197985\pi\) | |||||||
\(108\) | −0.0659683 | + | 0.188527i | −0.00634780 | + | 0.0181410i | ||||
\(109\) | −11.5974 | + | 4.55165i | −1.11083 | + | 0.435969i | −0.848599 | − | 0.529036i | \(-0.822554\pi\) |
−0.262231 | + | 0.965005i | \(0.584458\pi\) | |||||||
\(110\) | 8.61946 | + | 8.48913i | 0.821833 | + | 0.809407i | ||||
\(111\) | −0.00870127 | − | 0.00593243i | −0.000825888 | − | 0.000563081i | ||||
\(112\) | 2.56837 | + | 1.35742i | 0.242688 | + | 0.128264i | ||||
\(113\) | 5.52416 | + | 8.79166i | 0.519670 | + | 0.827049i | 0.998712 | − | 0.0507424i | \(-0.0161588\pi\) |
−0.479042 | + | 0.877792i | \(0.659016\pi\) | |||||||
\(114\) | 0.0900425 | − | 0.229425i | 0.00843325 | − | 0.0214876i | ||||
\(115\) | −2.68582 | + | 2.34718i | −0.250454 | + | 0.218876i | ||||
\(116\) | 3.45302 | + | 3.72147i | 0.320605 | + | 0.345530i | ||||
\(117\) | −1.23953 | + | 6.55110i | −0.114595 | + | 0.605649i | ||||
\(118\) | −0.367390 | − | 3.26067i | −0.0338210 | − | 0.300169i | ||||
\(119\) | 1.93703 | + | 1.79730i | 0.177567 | + | 0.164758i | ||||
\(120\) | −0.0214022 | + | 0.0713081i | −0.00195374 | + | 0.00650951i | ||||
\(121\) | −4.06592 | − | 17.8140i | −0.369629 | − | 1.61945i | ||||
\(122\) | 0.668891 | + | 0.179229i | 0.0605585 | + | 0.0162266i | ||||
\(123\) | 0.0691055 | + | 0.257905i | 0.00623104 | + | 0.0232545i | ||||
\(124\) | 2.96212 | − | 9.60296i | 0.266006 | − | 0.862371i | ||||
\(125\) | −2.73627 | − | 10.8403i | −0.244740 | − | 0.969589i | ||||
\(126\) | −0.651036 | + | 8.68747i | −0.0579989 | + | 0.773942i | ||||
\(127\) | 1.49170 | − | 0.521967i | 0.132367 | − | 0.0463171i | −0.263283 | − | 0.964719i | \(-0.584805\pi\) |
0.395649 | + | 0.918402i | \(0.370520\pi\) | |||||||
\(128\) | −0.707107 | + | 0.707107i | −0.0625000 | + | 0.0625000i | ||||
\(129\) | 0.0896507 | + | 0.199077i | 0.00789330 | + | 0.0175277i | ||||
\(130\) | −0.703478 | + | 4.92135i | −0.0616991 | + | 0.431631i | ||||
\(131\) | −0.937560 | + | 1.94686i | −0.0819150 | + | 0.170098i | −0.937903 | − | 0.346897i | \(-0.887235\pi\) |
0.855988 | + | 0.516995i | \(0.172950\pi\) | |||||||
\(132\) | 0.136541 | − | 0.117503i | 0.0118844 | − | 0.0102273i | ||||
\(133\) | 2.40766 | − | 21.3686i | 0.208770 | − | 1.85289i | ||||
\(134\) | −7.05208 | − | 2.17528i | −0.609207 | − | 0.187915i | ||||
\(135\) | −0.443419 | + | 0.0533849i | −0.0381634 | + | 0.00459464i | ||||
\(136\) | −0.787739 | + | 0.454801i | −0.0675481 | + | 0.0389989i | ||||
\(137\) | 12.2369 | − | 19.4749i | 1.04547 | − | 1.66385i | 0.365131 | − | 0.930956i | \(-0.381024\pi\) |
0.680338 | − | 0.732899i | \(-0.261833\pi\) | |||||||
\(138\) | 0.0315389 | + | 0.0427337i | 0.00268477 | + | 0.00363773i | ||||
\(139\) | −15.3286 | + | 16.5203i | −1.30015 | + | 1.40123i | −0.434433 | + | 0.900704i | \(0.643051\pi\) |
−0.865720 | + | 0.500528i | \(0.833139\pi\) | |||||||
\(140\) | −0.193434 | + | 6.49294i | −0.0163482 | + | 0.548753i | ||||
\(141\) | 0.0458768 | + | 0.0672889i | 0.00386353 | + | 0.00566675i | ||||
\(142\) | −0.158591 | + | 4.23843i | −0.0133086 | + | 0.355681i | ||||
\(143\) | 7.84616 | − | 9.11740i | 0.656129 | − | 0.762435i | ||||
\(144\) | −2.79159 | − | 1.09562i | −0.232632 | − | 0.0913015i | ||||
\(145\) | −4.06667 | + | 10.5984i | −0.337719 | + | 0.880148i | ||||
\(146\) | 9.16391 | − | 2.82669i | 0.758410 | − | 0.233939i | ||||
\(147\) | −0.00890819 | − | 0.0470809i | −0.000734735 | − | 0.00388317i | ||||
\(148\) | 0.187823 | − | 0.254491i | 0.0154390 | − | 0.0209190i | ||||
\(149\) | −2.36597 | − | 6.02840i | −0.193828 | − | 0.493866i | 0.800610 | − | 0.599185i | \(-0.204509\pi\) |
−0.994438 | + | 0.105319i | \(0.966413\pi\) | |||||||
\(150\) | −0.164220 | + | 0.0273169i | −0.0134085 | + | 0.00223042i | ||||
\(151\) | 2.49344 | + | 5.17769i | 0.202914 | + | 0.421355i | 0.977448 | − | 0.211178i | \(-0.0677299\pi\) |
−0.774534 | + | 0.632532i | \(0.782016\pi\) | |||||||
\(152\) | 6.78465 | + | 2.96011i | 0.550308 | + | 0.240097i | ||||
\(153\) | −2.19478 | − | 1.61982i | −0.177438 | − | 0.130955i | ||||
\(154\) | 8.85382 | − | 12.9862i | 0.713461 | − | 1.04646i | ||||
\(155\) | 22.1941 | − | 3.51832i | 1.78267 | − | 0.282598i | ||||
\(156\) | 0.0721684 | + | 0.0164720i | 0.00577810 | + | 0.00131881i | ||||
\(157\) | 0.856459 | − | 0.373669i | 0.0683529 | − | 0.0298221i | −0.365437 | − | 0.930836i | \(-0.619081\pi\) |
0.433790 | + | 0.901014i | \(0.357176\pi\) | |||||||
\(158\) | −2.10109 | − | 1.80813i | −0.167154 | − | 0.143847i | ||||
\(159\) | −0.0796963 | + | 0.0739474i | −0.00632033 | + | 0.00586441i | ||||
\(160\) | −2.11615 | − | 0.722428i | −0.167296 | − | 0.0571130i | ||||
\(161\) | 3.62302 | + | 2.88926i | 0.285534 | + | 0.227705i | ||||
\(162\) | −0.336148 | − | 8.98374i | −0.0264103 | − | 0.705829i | ||||
\(163\) | 5.29682 | − | 3.90923i | 0.414879 | − | 0.306195i | −0.366306 | − | 0.930495i | \(-0.619378\pi\) |
0.781185 | + | 0.624300i | \(0.214616\pi\) | |||||||
\(164\) | −7.81818 | + | 1.78445i | −0.610498 | + | 0.139342i | ||||
\(165\) | 0.370412 | + | 0.158262i | 0.0288366 | + | 0.0123207i | ||||
\(166\) | 2.99000 | + | 1.72628i | 0.232069 | + | 0.133985i | ||||
\(167\) | −19.7768 | + | 10.4523i | −1.53037 | + | 0.808825i | −0.999260 | − | 0.0384758i | \(-0.987750\pi\) |
−0.531113 | + | 0.847301i | \(0.678226\pi\) | |||||||
\(168\) | 0.0961153 | + | 0.0108296i | 0.00741546 | + | 0.000835522i | ||||
\(169\) | −8.03456 | − | 0.602107i | −0.618043 | − | 0.0463159i | ||||
\(170\) | −1.68919 | − | 1.13292i | −0.129555 | − | 0.0868911i | ||||
\(171\) | 22.1986i | 1.69757i | ||||||||
\(172\) | −6.07562 | + | 2.46714i | −0.463262 | + | 0.188118i | ||||
\(173\) | −3.29814 | − | 3.29814i | −0.250753 | − | 0.250753i | 0.570526 | − | 0.821279i | \(-0.306739\pi\) |
−0.821279 | + | 0.570526i | \(0.806739\pi\) | |||||||
\(174\) | 0.152291 | + | 0.0733393i | 0.0115451 | + | 0.00555984i | ||||
\(175\) | −13.2231 | + | 6.01060i | −0.999574 | + | 0.454359i | ||||
\(176\) | 3.37331 | + | 4.23000i | 0.254273 | + | 0.318848i | ||||
\(177\) | −0.0510501 | − | 0.0965915i | −0.00383716 | − | 0.00726026i | ||||
\(178\) | −14.2425 | + | 3.81627i | −1.06752 | + | 0.286041i | ||||
\(179\) | 2.89756 | + | 5.01872i | 0.216574 | + | 0.375117i | 0.953758 | − | 0.300575i | \(-0.0971784\pi\) |
−0.737184 | + | 0.675692i | \(0.763845\pi\) | |||||||
\(180\) | −0.552041 | − | 6.68296i | −0.0411467 | − | 0.498119i | ||||
\(181\) | −15.6220 | − | 2.35464i | −1.16118 | − | 0.175019i | −0.459941 | − | 0.887949i | \(-0.652129\pi\) |
−0.701235 | + | 0.712930i | \(0.747368\pi\) | |||||||
\(182\) | 6.45411 | − | 0.241496i | 0.478410 | − | 0.0179009i | ||||
\(183\) | 0.0229116 | − | 0.00258152i | 0.00169367 | − | 0.000190831i | ||||
\(184\) | −1.31800 | + | 0.898594i | −0.0971639 | + | 0.0662452i | ||||
\(185\) | 0.695911 | + | 0.126191i | 0.0511644 | + | 0.00927771i | ||||
\(186\) | −0.0250046 | − | 0.333663i | −0.00183343 | − | 0.0244654i | ||||
\(187\) | 1.96798 | + | 4.51066i | 0.143913 | + | 0.329852i | ||||
\(188\) | −2.07108 | + | 1.30135i | −0.151049 | + | 0.0949104i | ||||
\(189\) | 0.171027 | + | 0.554456i | 0.0124404 | + | 0.0403307i | ||||
\(190\) | 0.744873 | + | 16.5352i | 0.0540388 | + | 1.19959i | ||||
\(191\) | −3.05331 | − | 20.2574i | −0.220930 | − | 1.46577i | −0.774290 | − | 0.632831i | \(-0.781893\pi\) |
0.553360 | − | 0.832942i | \(-0.313345\pi\) | |||||||
\(192\) | −0.0133145 | + | 0.0305172i | −0.000960894 | + | 0.00220239i | ||||
\(193\) | 13.1712 | + | 4.60880i | 0.948083 | + | 0.331749i | 0.759646 | − | 0.650336i | \(-0.225372\pi\) |
0.188437 | + | 0.982085i | \(0.439658\pi\) | |||||||
\(194\) | −11.5088 | + | 5.54235i | −0.826285 | + | 0.397918i | ||||
\(195\) | 0.0380606 | + | 0.161088i | 0.00272557 | + | 0.0115358i | ||||
\(196\) | 1.42305 | − | 0.214491i | 0.101647 | − | 0.0153208i | ||||
\(197\) | −11.4768 | + | 2.17154i | −0.817691 | + | 0.154715i | −0.577898 | − | 0.816109i | \(-0.696127\pi\) |
−0.239793 | + | 0.970824i | \(0.577079\pi\) | |||||||
\(198\) | −7.58148 | + | 14.3449i | −0.538792 | + | 1.01945i | ||||
\(199\) | 0.357853 | − | 1.56786i | 0.0253675 | − | 0.111142i | −0.960659 | − | 0.277730i | \(-0.910418\pi\) |
0.986027 | + | 0.166588i | \(0.0532750\pi\) | |||||||
\(200\) | −0.635448 | − | 4.95946i | −0.0449330 | − | 0.350687i | ||||
\(201\) | −0.245031 | + | 0.0183625i | −0.0172831 | + | 0.00129519i | ||||
\(202\) | −4.43193 | − | 0.165831i | −0.311829 | − | 0.0116678i | ||||
\(203\) | 14.4908 | + | 2.74180i | 1.01705 | + | 0.192437i | ||||
\(204\) | −0.0188827 | + | 0.0236782i | −0.00132205 | + | 0.00165780i | ||||
\(205\) | −11.2866 | − | 13.9339i | −0.788292 | − | 0.973186i | ||||
\(206\) | 0.390974 | − | 2.59394i | 0.0272405 | − | 0.180729i | ||||
\(207\) | −4.05052 | − | 2.54511i | −0.281531 | − | 0.176897i | ||||
\(208\) | −0.575423 | + | 2.14751i | −0.0398984 | + | 0.148903i | ||||
\(209\) | 20.0245 | − | 34.6835i | 1.38513 | − | 2.39911i | ||||
\(210\) | 0.0729858 | + | 0.203593i | 0.00503650 | + | 0.0140493i | ||||
\(211\) | −3.16820 | + | 2.52656i | −0.218108 | + | 0.173935i | −0.726449 | − | 0.687221i | \(-0.758831\pi\) |
0.508341 | + | 0.861156i | \(0.330259\pi\) | |||||||
\(212\) | −2.12990 | − | 2.47499i | −0.146282 | − | 0.169983i | ||||
\(213\) | 0.0466415 | + | 0.133294i | 0.00319582 | + | 0.00913314i | ||||
\(214\) | 16.9308 | 1.15736 | ||||||||
\(215\) | −10.9396 | − | 9.76347i | −0.746074 | − | 0.665863i | ||||
\(216\) | −0.199735 | −0.0135902 | ||||||||
\(217\) | −9.64209 | − | 27.5555i | −0.654547 | − | 1.87059i | ||||
\(218\) | −8.12661 | − | 9.44329i | −0.550403 | − | 0.639580i | ||||
\(219\) | 0.249639 | − | 0.199081i | 0.0168691 | − | 0.0134526i | ||||
\(220\) | −5.16592 | + | 10.9395i | −0.348287 | + | 0.737544i | ||||
\(221\) | −1.01114 | + | 1.75135i | −0.0680169 | + | 0.117809i | ||||
\(222\) | 0.00272567 | − | 0.0101723i | 0.000182935 | − | 0.000682723i | ||||
\(223\) | −24.4506 | − | 15.3633i | −1.63733 | − | 1.02880i | −0.954492 | − | 0.298238i | \(-0.903601\pi\) |
−0.682841 | − | 0.730567i | \(-0.739256\pi\) | |||||||
\(224\) | −0.432970 | + | 2.87257i | −0.0289291 | + | 0.191932i | ||||
\(225\) | 12.8699 | − | 7.69418i | 0.857991 | − | 0.512945i | ||||
\(226\) | −6.47378 | + | 8.11787i | −0.430630 | + | 0.539992i | ||||
\(227\) | 26.2221 | + | 4.96149i | 1.74042 | + | 0.329306i | 0.956540 | − | 0.291602i | \(-0.0941882\pi\) |
0.783884 | + | 0.620908i | \(0.213236\pi\) | |||||||
\(228\) | 0.246289 | + | 0.00921549i | 0.0163109 | + | 0.000610311i | ||||
\(229\) | −5.86314 | + | 0.439381i | −0.387447 | + | 0.0290351i | −0.267030 | − | 0.963688i | \(-0.586042\pi\) |
−0.120417 | + | 0.992723i | \(0.538423\pi\) | |||||||
\(230\) | −3.10254 | − | 1.75988i | −0.204575 | − | 0.116043i | ||||
\(231\) | 0.116447 | − | 0.510189i | 0.00766167 | − | 0.0335680i | ||||
\(232\) | −2.37218 | + | 4.48837i | −0.155741 | + | 0.294676i | ||||
\(233\) | −15.5238 | + | 2.93725i | −1.01700 | + | 0.192426i | −0.667577 | − | 0.744541i | \(-0.732668\pi\) |
−0.349419 | + | 0.936967i | \(0.613621\pi\) | |||||||
\(234\) | −6.59286 | + | 0.993714i | −0.430989 | + | 0.0649611i | ||||
\(235\) | −4.65311 | − | 2.87454i | −0.303535 | − | 0.187514i | ||||
\(236\) | 2.95636 | − | 1.42371i | 0.192442 | − | 0.0926753i | ||||
\(237\) | −0.0871151 | − | 0.0304829i | −0.00565873 | − | 0.00198008i | ||||
\(238\) | −1.05668 | + | 2.42194i | −0.0684944 | + | 0.156991i | ||||
\(239\) | −3.20541 | − | 21.2665i | −0.207341 | − | 1.37562i | −0.814097 | − | 0.580729i | \(-0.802768\pi\) |
0.606756 | − | 0.794888i | \(-0.292471\pi\) | |||||||
\(240\) | −0.0743752 | + | 0.00335042i | −0.00480090 | + | 0.000216269i | ||||
\(241\) | −0.603944 | − | 1.95794i | −0.0389034 | − | 0.126122i | 0.934038 | − | 0.357174i | \(-0.116260\pi\) |
−0.972941 | + | 0.231052i | \(0.925783\pi\) | |||||||
\(242\) | 15.4714 | − | 9.72133i | 0.994540 | − | 0.624911i | ||||
\(243\) | −0.359315 | − | 0.823559i | −0.0230501 | − | 0.0528314i | ||||
\(244\) | 0.0517496 | + | 0.690550i | 0.00331293 | + | 0.0442079i | ||||
\(245\) | 1.83296 | + | 2.64494i | 0.117103 | + | 0.168979i | ||||
\(246\) | −0.220608 | + | 0.150408i | −0.0140655 | + | 0.00958968i | ||||
\(247\) | 16.3538 | − | 1.84263i | 1.04056 | − | 0.117244i | ||||
\(248\) | 10.0424 | − | 0.375760i | 0.637693 | − | 0.0238608i | ||||
\(249\) | 0.113670 | + | 0.0171330i | 0.00720355 | + | 0.00108576i | ||||
\(250\) | 9.32828 | − | 6.16306i | 0.589972 | − | 0.389786i | ||||
\(251\) | 4.04299 | + | 7.00266i | 0.255191 | + | 0.442004i | 0.964947 | − | 0.262443i | \(-0.0845283\pi\) |
−0.709756 | + | 0.704447i | \(0.751195\pi\) | |||||||
\(252\) | −8.41498 | + | 2.25479i | −0.530094 | + | 0.142038i | ||||
\(253\) | 4.03275 | + | 7.63034i | 0.253537 | + | 0.479715i | ||||
\(254\) | 0.985351 | + | 1.23559i | 0.0618264 | + | 0.0775279i | ||||
\(255\) | −0.0661355 | − | 0.0145659i | −0.00414156 | − | 0.000912151i | ||||
\(256\) | −0.900969 | − | 0.433884i | −0.0563106 | − | 0.0271177i | ||||
\(257\) | −17.7989 | − | 17.7989i | −1.11027 | − | 1.11027i | −0.993114 | − | 0.117153i | \(-0.962623\pi\) |
−0.117153 | − | 0.993114i | \(-0.537377\pi\) | |||||||
\(258\) | −0.158296 | + | 0.150371i | −0.00985506 | + | 0.00936167i | ||||
\(259\) | − | 0.918846i | − | 0.0570943i | ||||||
\(260\) | −4.87752 | + | 0.961417i | −0.302491 | + | 0.0596245i | ||||
\(261\) | −15.1819 | − | 1.13772i | −0.939733 | − | 0.0704233i | ||||
\(262\) | −2.14727 | − | 0.241939i | −0.132659 | − | 0.0149470i | ||||
\(263\) | −17.2486 | + | 9.11615i | −1.06359 | + | 0.562126i | −0.905085 | − | 0.425232i | \(-0.860193\pi\) |
−0.158509 | + | 0.987357i | \(0.550669\pi\) | |||||||
\(264\) | 0.156006 | + | 0.0900700i | 0.00960149 | + | 0.00554342i | ||||
\(265\) | 2.86871 | − | 6.71422i | 0.176223 | − | 0.412451i | ||||
\(266\) | 20.9646 | − | 4.78504i | 1.28542 | − | 0.293390i | ||||
\(267\) | −0.395007 | + | 0.291528i | −0.0241740 | + | 0.0178412i | ||||
\(268\) | −0.275945 | − | 7.37479i | −0.0168560 | − | 0.450487i | ||||
\(269\) | 6.21737 | + | 4.95818i | 0.379079 | + | 0.302306i | 0.794430 | − | 0.607356i | \(-0.207770\pi\) |
−0.415351 | + | 0.909661i | \(0.636341\pi\) | |||||||
\(270\) | −0.196841 | − | 0.400904i | −0.0119794 | − | 0.0243982i | ||||
\(271\) | 13.7111 | − | 12.7220i | 0.832888 | − | 0.772807i | −0.143313 | − | 0.989677i | \(-0.545775\pi\) |
0.976200 | + | 0.216871i | \(0.0695850\pi\) | |||||||
\(272\) | −0.689453 | − | 0.593322i | −0.0418042 | − | 0.0359755i | ||||
\(273\) | 0.197099 | − | 0.0859936i | 0.0119290 | − | 0.00520457i | ||||
\(274\) | 22.4236 | + | 5.11805i | 1.35466 | + | 0.309193i | ||||
\(275\) | −27.0487 | + | 0.412106i | −1.63110 | + | 0.0248509i | ||||
\(276\) | −0.0299190 | + | 0.0438831i | −0.00180091 | + | 0.00264145i | ||||
\(277\) | −2.88366 | − | 2.12824i | −0.173262 | − | 0.127873i | 0.503737 | − | 0.863857i | \(-0.331958\pi\) |
−0.676999 | + | 0.735984i | \(0.736720\pi\) | |||||||
\(278\) | −20.6559 | − | 9.01209i | −1.23886 | − | 0.540509i | ||||
\(279\) | 13.0760 | + | 27.1526i | 0.782840 | + | 1.62558i | ||||
\(280\) | −6.19246 | + | 1.96190i | −0.370070 | + | 0.117246i | ||||
\(281\) | −0.201011 | − | 0.512167i | −0.0119913 | − | 0.0305533i | 0.924753 | − | 0.380568i | \(-0.124272\pi\) |
−0.936744 | + | 0.350015i | \(0.886176\pi\) | |||||||
\(282\) | −0.0483608 | + | 0.0655265i | −0.00287984 | + | 0.00390205i | ||||
\(283\) | 2.99628 | + | 15.8357i | 0.178110 | + | 0.941336i | 0.951557 | + | 0.307474i | \(0.0994837\pi\) |
−0.773446 | + | 0.633862i | \(0.781469\pi\) | |||||||
\(284\) | −4.05296 | + | 1.25017i | −0.240499 | + | 0.0741841i | ||||
\(285\) | 0.224224 | + | 0.503428i | 0.0132819 | + | 0.0298205i | ||||
\(286\) | 11.1972 | + | 4.39457i | 0.662103 | + | 0.259856i | ||||
\(287\) | −15.1957 | + | 17.6577i | −0.896975 | + | 1.04230i | ||||
\(288\) | 0.112132 | − | 2.99679i | 0.00660745 | − | 0.176588i | ||||
\(289\) | 9.11036 | + | 13.3624i | 0.535904 | + | 0.786026i | ||||
\(290\) | −11.3468 | − | 0.338037i | −0.666306 | − | 0.0198502i | ||||
\(291\) | −0.289283 | + | 0.311773i | −0.0169581 | + | 0.0182765i | ||||
\(292\) | 5.69471 | + | 7.71606i | 0.333258 | + | 0.451548i | ||||
\(293\) | −11.5177 | + | 18.3303i | −0.672870 | + | 1.07087i | 0.319502 | + | 0.947586i | \(0.396484\pi\) |
−0.992372 | + | 0.123281i | \(0.960658\pi\) | |||||||
\(294\) | 0.0414967 | − | 0.0239581i | 0.00242014 | − | 0.00139727i | ||||
\(295\) | 5.77115 | + | 4.53086i | 0.336010 | + | 0.263797i | ||||
\(296\) | 0.302244 | + | 0.0932299i | 0.0175676 | + | 0.00541888i | ||||
\(297\) | −0.120993 | + | 1.07385i | −0.00702074 | + | 0.0623108i | ||||
\(298\) | 4.90868 | − | 4.22426i | 0.284352 | − | 0.244705i | ||||
\(299\) | −1.53877 | + | 3.19528i | −0.0889892 | + | 0.184788i | ||||
\(300\) | −0.0800225 | − | 0.145982i | −0.00462010 | − | 0.00842830i | ||||
\(301\) | −9.94502 | + | 16.2474i | −0.573222 | + | 0.936486i | ||||
\(302\) | −4.06360 | + | 4.06360i | −0.233834 | + | 0.233834i | ||||
\(303\) | −0.139379 | + | 0.0487709i | −0.00800713 | + | 0.00280182i | ||||
\(304\) | −0.553173 | + | 7.38159i | −0.0317267 | + | 0.423363i | ||||
\(305\) | −1.33506 | + | 0.784416i | −0.0764452 | + | 0.0449155i | ||||
\(306\) | 0.804033 | − | 2.60661i | 0.0459635 | − | 0.149010i | ||||
\(307\) | −5.58992 | − | 20.8619i | −0.319034 | − | 1.19065i | −0.920175 | − | 0.391507i | \(-0.871954\pi\) |
0.601141 | − | 0.799143i | \(-0.294713\pi\) | |||||||
\(308\) | 15.1817 | + | 4.06791i | 0.865056 | + | 0.231791i | ||||
\(309\) | −0.0194354 | − | 0.0851519i | −0.00110564 | − | 0.00484412i | ||||
\(310\) | 10.6511 | + | 19.7866i | 0.604942 | + | 1.12380i | ||||
\(311\) | −4.62402 | − | 4.29047i | −0.262204 | − | 0.243290i | 0.538104 | − | 0.842878i | \(-0.319141\pi\) |
−0.800309 | + | 0.599588i | \(0.795331\pi\) | |||||||
\(312\) | 0.00828810 | + | 0.0735589i | 0.000469221 | + | 0.00416445i | ||||
\(313\) | −4.84573 | + | 25.6103i | −0.273897 | + | 1.44758i | 0.527555 | + | 0.849521i | \(0.323109\pi\) |
−0.801452 | + | 0.598059i | \(0.795939\pi\) | |||||||
\(314\) | 0.635571 | + | 0.684982i | 0.0358673 | + | 0.0386558i | ||||
\(315\) | −12.8188 | − | 14.6683i | −0.722259 | − | 0.826463i | ||||
\(316\) | 1.01272 | − | 2.58037i | 0.0569700 | − | 0.145157i | ||||
\(317\) | 15.4173 | + | 24.5365i | 0.865921 | + | 1.37811i | 0.925046 | + | 0.379855i | \(0.124026\pi\) |
−0.0591252 | + | 0.998251i | \(0.518831\pi\) | |||||||
\(318\) | −0.0961197 | − | 0.0508008i | −0.00539013 | − | 0.00284877i | ||||
\(319\) | 22.6941 | + | 15.4726i | 1.27062 | + | 0.866297i | ||||
\(320\) | −0.0170325 | − | 2.23600i | −0.000952148 | − | 0.124996i | ||||
\(321\) | 0.524748 | − | 0.205948i | 0.0292886 | − | 0.0114949i | ||||
\(322\) | −1.53052 | + | 4.37397i | −0.0852924 | + | 0.243752i | ||||
\(323\) | −2.22381 | + | 6.35530i | −0.123736 | + | 0.353618i | ||||
\(324\) | 8.36858 | − | 3.28442i | 0.464921 | − | 0.182468i | ||||
\(325\) | −6.73659 | − | 8.84257i | −0.373679 | − | 0.490498i | ||||
\(326\) | 5.43929 | + | 3.70844i | 0.301254 | + | 0.205392i | ||||
\(327\) | −0.366743 | − | 0.193830i | −0.0202810 | − | 0.0107188i | ||||
\(328\) | −4.26649 | − | 6.79009i | −0.235578 | − | 0.374920i | ||||
\(329\) | −2.59598 | + | 6.61446i | −0.143121 | + | 0.364667i | ||||
\(330\) | −0.0270411 | + | 0.401896i | −0.00148857 | + | 0.0221237i | ||||
\(331\) | −13.6103 | − | 14.6684i | −0.748087 | − | 0.806246i | 0.238212 | − | 0.971213i | \(-0.423439\pi\) |
−0.986299 | + | 0.164967i | \(0.947248\pi\) | |||||||
\(332\) | −0.641870 | + | 3.39237i | −0.0352272 | + | 0.186180i | ||||
\(333\) | 0.106203 | + | 0.942574i | 0.00581986 | + | 0.0516527i | ||||
\(334\) | −16.3976 | − | 15.2148i | −0.897238 | − | 0.832516i | ||||
\(335\) | 14.5306 | − | 7.82181i | 0.793890 | − | 0.427351i | ||||
\(336\) | 0.0215230 | + | 0.0942984i | 0.00117418 | + | 0.00514440i | ||||
\(337\) | 23.0881 | + | 6.18645i | 1.25769 | + | 0.336997i | 0.825303 | − | 0.564690i | \(-0.191004\pi\) |
0.432388 | + | 0.901688i | \(0.357671\pi\) | |||||||
\(338\) | −2.08533 | − | 7.78255i | −0.113427 | − | 0.423315i | ||||
\(339\) | −0.101900 | + | 0.330351i | −0.00553444 | + | 0.0179422i | ||||
\(340\) | 0.511441 | − | 1.96858i | 0.0277368 | − | 0.106761i | ||||
\(341\) | 4.06316 | − | 54.2190i | 0.220032 | − | 2.93613i | ||||
\(342\) | −20.9529 | + | 7.33175i | −1.13300 | + | 0.396456i | ||||
\(343\) | −11.4229 | + | 11.4229i | −0.616779 | + | 0.616779i | ||||
\(344\) | −4.33535 | − | 4.91984i | −0.233746 | − | 0.265260i | ||||
\(345\) | −0.117567 | − | 0.0168055i | −0.00632958 | − | 0.000904776i | ||||
\(346\) | 2.02376 | − | 4.20237i | 0.108798 | − | 0.225921i | ||||
\(347\) | −8.96618 | + | 7.71602i | −0.481330 | + | 0.414218i | −0.859199 | − | 0.511641i | \(-0.829038\pi\) |
0.377869 | + | 0.925859i | \(0.376657\pi\) | |||||||
\(348\) | −0.0189253 | + | 0.167967i | −0.00101450 | + | 0.00900398i | ||||
\(349\) | 4.68795 | + | 1.44604i | 0.250940 | + | 0.0774048i | 0.417673 | − | 0.908597i | \(-0.362846\pi\) |
−0.166733 | + | 0.986002i | \(0.553322\pi\) | |||||||
\(350\) | −10.0406 | − | 10.4959i | −0.536694 | − | 0.561030i | ||||
\(351\) | −0.384571 | + | 0.222032i | −0.0205269 | + | 0.0118512i | ||||
\(352\) | −2.87849 | + | 4.58109i | −0.153424 | + | 0.244173i | ||||
\(353\) | 5.54818 | + | 7.51751i | 0.295300 | + | 0.400117i | 0.926979 | − | 0.375113i | \(-0.122396\pi\) |
−0.631680 | + | 0.775230i | \(0.717634\pi\) | |||||||
\(354\) | 0.0743103 | − | 0.0800875i | 0.00394955 | − | 0.00425660i | ||||
\(355\) | −6.50356 | − | 6.90296i | −0.345173 | − | 0.366371i | ||||
\(356\) | −8.30611 | − | 12.1828i | −0.440223 | − | 0.645688i | ||||
\(357\) | −0.00328968 | + | 0.0879184i | −0.000174108 | + | 0.00465314i | ||||
\(358\) | −3.78009 | + | 4.39254i | −0.199784 | + | 0.232153i | ||||
\(359\) | 1.01890 | + | 0.399891i | 0.0537757 | + | 0.0211054i | 0.392076 | − | 0.919933i | \(-0.371757\pi\) |
−0.338301 | + | 0.941038i | \(0.609852\pi\) | |||||||
\(360\) | 6.12561 | − | 2.72831i | 0.322848 | − | 0.143794i | ||||
\(361\) | 34.2036 | − | 10.5504i | 1.80019 | − | 0.555285i | ||||
\(362\) | −2.93712 | − | 15.5231i | −0.154372 | − | 0.815874i | ||||
\(363\) | 0.361265 | − | 0.489497i | 0.0189615 | − | 0.0256919i | ||||
\(364\) | 2.35960 | + | 6.01216i | 0.123677 | + | 0.315123i | ||||
\(365\) | −9.87531 | + | 19.0346i | −0.516898 | + | 0.996315i | ||||
\(366\) | 0.0100039 | + | 0.0207732i | 0.000522911 | + | 0.00108583i | ||||
\(367\) | 27.4848 | + | 11.9915i | 1.43469 | + | 0.625950i | 0.966265 | − | 0.257551i | \(-0.0829155\pi\) |
0.468429 | + | 0.883501i | \(0.344820\pi\) | |||||||
\(368\) | −1.28347 | − | 0.947247i | −0.0669057 | − | 0.0493787i | ||||
\(369\) | 13.5472 | − | 19.8701i | 0.705239 | − | 1.03440i | ||||
\(370\) | 0.110736 | + | 0.698537i | 0.00575687 | + | 0.0363152i | ||||
\(371\) | −9.24787 | − | 2.11077i | −0.480125 | − | 0.109585i | ||||
\(372\) | 0.306681 | − | 0.133803i | 0.0159007 | − | 0.00693738i | ||||
\(373\) | 14.6498 | + | 12.6072i | 0.758538 | + | 0.652775i | 0.944026 | − | 0.329872i | \(-0.107006\pi\) |
−0.185488 | + | 0.982647i | \(0.559387\pi\) | |||||||
\(374\) | −3.60756 | + | 3.34732i | −0.186542 | + | 0.173086i | ||||
\(375\) | 0.214150 | − | 0.304487i | 0.0110586 | − | 0.0157236i | ||||
\(376\) | −1.91235 | − | 1.52505i | −0.0986221 | − | 0.0786485i | ||||
\(377\) | 0.422028 | + | 11.2789i | 0.0217355 | + | 0.580894i | ||||
\(378\) | −0.466855 | + | 0.344555i | −0.0240124 | + | 0.0177220i | ||||
\(379\) | −10.2998 | + | 2.35087i | −0.529066 | + | 0.120756i | −0.478706 | − | 0.877975i | \(-0.658894\pi\) |
−0.0503600 | + | 0.998731i | \(0.516037\pi\) | |||||||
\(380\) | −15.3613 | + | 6.16432i | −0.788019 | + | 0.316223i | ||||
\(381\) | 0.0455696 | + | 0.0263096i | 0.00233460 | + | 0.00134788i | ||||
\(382\) | 18.1122 | − | 9.57256i | 0.926699 | − | 0.489775i | ||||
\(383\) | 21.4060 | + | 2.41188i | 1.09380 | + | 0.123241i | 0.640381 | − | 0.768058i | \(-0.278777\pi\) |
0.453416 | + | 0.891299i | \(0.350205\pi\) | |||||||
\(384\) | −0.0332022 | − | 0.00248816i | −0.00169434 | − | 0.000126974i | ||||
\(385\) | 6.79667 | + | 34.4813i | 0.346390 | + | 1.75733i | ||||
\(386\) | 13.9543i | 0.710253i | ||||||||
\(387\) | 8.32392 | − | 17.8165i | 0.423129 | − | 0.905662i | ||||
\(388\) | −9.03245 | − | 9.03245i | −0.458553 | − | 0.458553i | ||||
\(389\) | 1.83340 | + | 0.882917i | 0.0929568 | + | 0.0447656i | 0.479784 | − | 0.877386i | \(-0.340715\pi\) |
−0.386828 | + | 0.922152i | \(0.626429\pi\) | |||||||
\(390\) | −0.139478 | + | 0.0891288i | −0.00706273 | + | 0.00451321i | ||||
\(391\) | −0.904668 | − | 1.13442i | −0.0457510 | − | 0.0573700i | ||||
\(392\) | 0.672460 | + | 1.27236i | 0.0339643 | + | 0.0642637i | ||||
\(393\) | −0.0694949 | + | 0.0186211i | −0.00350555 | + | 0.000939310i | ||||
\(394\) | −5.84024 | − | 10.1156i | −0.294227 | − | 0.509616i | ||||
\(395\) | 6.17732 | − | 0.510272i | 0.310815 | − | 0.0256746i | ||||
\(396\) | −16.0439 | − | 2.41823i | −0.806235 | − | 0.121520i | ||||
\(397\) | 3.56662 | − | 0.133453i | 0.179003 | − | 0.00669783i | 0.0522608 | − | 0.998633i | \(-0.483357\pi\) |
0.126743 | + | 0.991936i | \(0.459548\pi\) | |||||||
\(398\) | 1.59806 | − | 0.180059i | 0.0801037 | − | 0.00902552i | ||||
\(399\) | 0.591566 | − | 0.403323i | 0.0296154 | − | 0.0201914i | ||||
\(400\) | 4.47127 | − | 2.23779i | 0.223564 | − | 0.111890i | ||||
\(401\) | 0.890957 | + | 11.8890i | 0.0444923 | + | 0.593708i | 0.974240 | + | 0.225512i | \(0.0724055\pi\) |
−0.929748 | + | 0.368196i | \(0.879975\pi\) | |||||||
\(402\) | −0.0982606 | − | 0.225216i | −0.00490079 | − | 0.0112327i | ||||
\(403\) | 18.9180 | − | 11.8869i | 0.942371 | − | 0.592131i | ||||
\(404\) | −1.30725 | − | 4.23799i | −0.0650380 | − | 0.210848i | ||||
\(405\) | 14.8398 | + | 13.5604i | 0.737393 | + | 0.673821i | ||||
\(406\) | 2.19805 | + | 14.5831i | 0.109088 | + | 0.723749i | ||||
\(407\) | 0.684327 | − | 1.56849i | 0.0339208 | − | 0.0777473i | ||||
\(408\) | −0.0285860 | − | 0.0100027i | −0.00141522 | − | 0.000495206i | ||||
\(409\) | −25.8706 | + | 12.4586i | −1.27922 | + | 0.616039i | −0.945189 | − | 0.326523i | \(-0.894123\pi\) |
−0.334030 | + | 0.942563i | \(0.608409\pi\) | |||||||
\(410\) | 9.42424 | − | 15.2553i | 0.465430 | − | 0.753407i | ||||
\(411\) | 0.757249 | − | 0.114137i | 0.0373524 | − | 0.00562996i | ||||
\(412\) | 2.57751 | − | 0.487692i | 0.126985 | − | 0.0240268i | ||||
\(413\) | 4.45412 | − | 8.42761i | 0.219173 | − | 0.414696i | ||||
\(414\) | 1.06449 | − | 4.66382i | 0.0523166 | − | 0.229214i | ||||
\(415\) | −7.44166 | + | 2.05487i | −0.365297 | + | 0.100869i | ||||
\(416\) | −2.21705 | + | 0.166145i | −0.108700 | + | 0.00814592i | ||||
\(417\) | −0.749829 | − | 0.0280566i | −0.0367193 | − | 0.00137394i | ||||
\(418\) | 39.3509 | + | 7.44559i | 1.92471 | + | 0.364176i | ||||
\(419\) | 17.4776 | − | 21.9163i | 0.853839 | − | 1.07068i | −0.142880 | − | 0.989740i | \(-0.545636\pi\) |
0.996719 | − | 0.0809400i | \(-0.0257922\pi\) | |||||||
\(420\) | −0.168063 | + | 0.136133i | −0.00820062 | + | 0.00664260i | ||||
\(421\) | −5.82933 | + | 38.6751i | −0.284104 | + | 1.88491i | 0.157226 | + | 0.987563i | \(0.449745\pi\) |
−0.441330 | + | 0.897345i | \(0.645493\pi\) | |||||||
\(422\) | −3.43116 | − | 2.15594i | −0.167026 | − | 0.104950i | ||||
\(423\) | 1.89851 | − | 7.08532i | 0.0923085 | − | 0.344500i | ||||
\(424\) | 1.63264 | − | 2.82781i | 0.0792880 | − | 0.137331i | ||||
\(425\) | 4.45533 | − | 0.913507i | 0.216115 | − | 0.0443116i | ||||
\(426\) | −0.110409 | + | 0.0880483i | −0.00534934 | + | 0.00426595i | ||||
\(427\) | 1.31220 | + | 1.52480i | 0.0635017 | + | 0.0737903i | ||||
\(428\) | 5.59188 | + | 15.9807i | 0.270294 | + | 0.772455i | ||||
\(429\) | 0.400499 | 0.0193363 | ||||||||
\(430\) | 5.60246 | − | 13.5504i | 0.270175 | − | 0.653457i | ||||
\(431\) | 36.9933 | 1.78191 | 0.890953 | − | 0.454096i | \(-0.150038\pi\) | ||||
0.890953 | + | 0.454096i | \(0.150038\pi\) | |||||||
\(432\) | −0.0659683 | − | 0.188527i | −0.00317390 | − | 0.00907049i | ||||
\(433\) | 4.92272 | + | 5.72031i | 0.236571 | + | 0.274901i | 0.863690 | − | 0.504023i | \(-0.168147\pi\) |
−0.627119 | + | 0.778923i | \(0.715766\pi\) | |||||||
\(434\) | 22.8246 | − | 18.2020i | 1.09562 | − | 0.873724i | ||||
\(435\) | −0.355791 | + | 0.127547i | −0.0170589 | + | 0.00611540i | ||||
\(436\) | 6.22931 | − | 10.7895i | 0.298330 | − | 0.516723i | ||||
\(437\) | −3.05612 | + | 11.4056i | −0.146194 | + | 0.545603i | ||||
\(438\) | 0.270360 | + | 0.169878i | 0.0129183 | + | 0.00811710i | ||||
\(439\) | −3.06409 | + | 20.3289i | −0.146241 | + | 0.970245i | 0.788531 | + | 0.614995i | \(0.210842\pi\) |
−0.934772 | + | 0.355249i | \(0.884396\pi\) | |||||||
\(440\) | −12.0318 | − | 1.26293i | −0.573596 | − | 0.0602078i | ||||
\(441\) | −2.69085 | + | 3.37422i | −0.128136 | + | 0.160677i | ||||
\(442\) | −1.98703 | − | 0.375967i | −0.0945135 | − | 0.0178829i | ||||
\(443\) | 17.8013 | + | 0.666079i | 0.845767 | + | 0.0316464i | 0.456762 | − | 0.889589i | \(-0.349009\pi\) |
0.389005 | + | 0.921235i | \(0.372819\pi\) | |||||||
\(444\) | 0.0105017 | 0.000786996i | 0.000498390 | 3.73492e-5i | ||||||
\(445\) | 16.2673 | − | 28.6782i | 0.771146 | − | 1.35947i | ||||
\(446\) | 6.42567 | − | 28.1527i | 0.304264 | − | 1.33307i | ||||
\(447\) | 0.100754 | − | 0.190635i | 0.00476549 | − | 0.00901674i | ||||
\(448\) | −2.85437 | + | 0.540077i | −0.134856 | + | 0.0255162i | ||||
\(449\) | 26.2076 | − | 3.95017i | 1.23681 | − | 0.186420i | 0.502108 | − | 0.864805i | \(-0.332558\pi\) |
0.734707 | + | 0.678385i | \(0.237320\pi\) | |||||||
\(450\) | 11.5131 | + | 9.60642i | 0.542731 | + | 0.452851i | ||||
\(451\) | −39.0904 | + | 18.8249i | −1.84069 | + | 0.886432i | ||||
\(452\) | −9.80047 | − | 3.42933i | −0.460975 | − | 0.161302i | ||||
\(453\) | −0.0765160 | + | 0.175377i | −0.00359504 | + | 0.00823991i | ||||
\(454\) | 3.97755 | + | 26.3893i | 0.186676 | + | 1.23851i | ||||
\(455\) | −9.74208 | + | 10.6612i | −0.456716 | + | 0.499805i | ||||
\(456\) | 0.0726458 | + | 0.235512i | 0.00340195 | + | 0.0110289i | ||||
\(457\) | 18.1840 | − | 11.4257i | 0.850610 | − | 0.534474i | −0.0347411 | − | 0.999396i | \(-0.511061\pi\) |
0.885351 | + | 0.464922i | \(0.153918\pi\) | |||||||
\(458\) | −2.35120 | − | 5.38900i | −0.109864 | − | 0.251811i | ||||
\(459\) | −0.0135769 | − | 0.181172i | −0.000633717 | − | 0.00845636i | ||||
\(460\) | 0.636416 | − | 3.50968i | 0.0296731 | − | 0.163640i | ||||
\(461\) | −27.2188 | + | 18.5574i | −1.26770 | + | 0.864306i | −0.995201 | − | 0.0978493i | \(-0.968804\pi\) |
−0.272502 | + | 0.962155i | \(0.587851\pi\) | |||||||
\(462\) | 0.520019 | − | 0.0585921i | 0.0241935 | − | 0.00272595i | ||||
\(463\) | −19.4019 | + | 0.725966i | −0.901681 | + | 0.0337385i | −0.484210 | − | 0.874952i | \(-0.660893\pi\) |
−0.417471 | + | 0.908690i | \(0.637083\pi\) | |||||||
\(464\) | −5.01998 | − | 0.756641i | −0.233047 | − | 0.0351262i | ||||
\(465\) | 0.570805 | + | 0.483698i | 0.0264704 | + | 0.0224310i | ||||
\(466\) | −7.89960 | − | 13.6825i | −0.365942 | − | 0.633830i | ||||
\(467\) | 26.0599 | − | 6.98273i | 1.20591 | − | 0.323122i | 0.400753 | − | 0.916186i | \(-0.368748\pi\) |
0.805156 | + | 0.593064i | \(0.202082\pi\) | |||||||
\(468\) | −3.11543 | − | 5.89469i | −0.144011 | − | 0.272482i | ||||
\(469\) | −13.3669 | − | 16.7616i | −0.617227 | − | 0.773979i | ||||
\(470\) | 1.17640 | − | 5.34139i | 0.0542635 | − | 0.246380i | ||||
\(471\) | 0.0280309 | + | 0.0134990i | 0.00129160 | + | 0.000622001i | ||||
\(472\) | 2.32023 | + | 2.32023i | 0.106797 | + | 0.106797i | ||||
\(473\) | −29.0770 | + | 20.3280i | −1.33696 | + | 0.934684i | ||||
\(474\) | − | 0.0922943i | − | 0.00423922i | ||||||
\(475\) | −27.5116 | − | 24.7579i | −1.26232 | − | 1.13597i | ||||
\(476\) | −2.63502 | − | 0.197468i | −0.120776 | − | 0.00905092i | ||||
\(477\) | 9.73065 | + | 1.09638i | 0.445536 | + | 0.0501998i | ||||
\(478\) | 19.0144 | − | 10.0494i | 0.869700 | − | 0.459650i | ||||
\(479\) | −35.3952 | − | 20.4354i | −1.61725 | − | 0.933720i | −0.987628 | − | 0.156818i | \(-0.949876\pi\) |
−0.629622 | − | 0.776901i | \(-0.716790\pi\) | |||||||
\(480\) | −0.0277270 | − | 0.0690949i | −0.00126556 | − | 0.00315374i | ||||
\(481\) | 0.685579 | − | 0.156479i | 0.0312597 | − | 0.00713483i | ||||
\(482\) | 1.64859 | − | 1.21672i | 0.0750914 | − | 0.0554200i | ||||
\(483\) | 0.00576912 | + | 0.154183i | 0.000262504 | + | 0.00701557i | ||||
\(484\) | 14.2857 | + | 11.3925i | 0.649349 | + | 0.517839i | ||||
\(485\) | 9.22817 | − | 27.0313i | 0.419030 | − | 1.22743i | ||||
\(486\) | 0.658670 | − | 0.611156i | 0.0298779 | − | 0.0277226i | ||||
\(487\) | 17.7367 | + | 15.2637i | 0.803727 | + | 0.691663i | 0.954927 | − | 0.296841i | \(-0.0959330\pi\) |
−0.151201 | + | 0.988503i | \(0.548314\pi\) | |||||||
\(488\) | −0.634707 | + | 0.276920i | −0.0287318 | + | 0.0125356i | ||||
\(489\) | 0.213694 | + | 0.0487742i | 0.00966357 | + | 0.00220565i | ||||
\(490\) | −1.89113 | + | 2.60367i | −0.0854325 | + | 0.117622i | ||||
\(491\) | 10.2468 | − | 15.0293i | 0.462431 | − | 0.678262i | −0.522217 | − | 0.852813i | \(-0.674895\pi\) |
0.984648 | + | 0.174551i | \(0.0558473\pi\) | |||||||
\(492\) | −0.214830 | − | 0.158552i | −0.00968530 | − | 0.00714807i | ||||
\(493\) | −4.23247 | − | 1.84661i | −0.190621 | − | 0.0831670i | ||||
\(494\) | 7.14053 | + | 14.8275i | 0.321268 | + | 0.667119i | ||||
\(495\) | −10.9576 | − | 34.5861i | −0.492508 | − | 1.55453i | ||||
\(496\) | 3.67147 | + | 9.35474i | 0.164854 | + | 0.420040i | ||||
\(497\) | −7.31665 | + | 9.91371i | −0.328197 | + | 0.444691i | ||||
\(498\) | 0.0213713 | + | 0.112950i | 0.000957670 | + | 0.00506141i | ||||
\(499\) | −7.83703 | + | 2.41740i | −0.350834 | + | 0.108218i | −0.465163 | − | 0.885225i | \(-0.654004\pi\) |
0.114329 | + | 0.993443i | \(0.463528\pi\) | |||||||
\(500\) | 8.89814 | + | 6.76927i | 0.397937 | + | 0.302731i | ||||
\(501\) | −0.693299 | − | 0.272100i | −0.0309743 | − | 0.0121565i | ||||
\(502\) | −5.27438 | + | 6.12894i | −0.235407 | + | 0.273548i | ||||
\(503\) | −0.992339 | + | 26.5208i | −0.0442462 | + | 1.18250i | 0.783496 | + | 0.621396i | \(0.213434\pi\) |
−0.827742 | + | 0.561108i | \(0.810375\pi\) | |||||||
\(504\) | −4.90755 | − | 7.19805i | −0.218600 | − | 0.320627i | ||||
\(505\) | 7.21811 | − | 6.80047i | 0.321202 | − | 0.302617i | ||||
\(506\) | −5.87022 | + | 6.32659i | −0.260963 | + | 0.281251i | ||||
\(507\) | −0.159300 | − | 0.215844i | −0.00707477 | − | 0.00958598i | ||||
\(508\) | −0.840813 | + | 1.33815i | −0.0373051 | + | 0.0593707i | ||||
\(509\) | 9.82810 | − | 5.67426i | 0.435623 | − | 0.251507i | −0.266116 | − | 0.963941i | \(-0.585741\pi\) |
0.701739 | + | 0.712434i | \(0.252407\pi\) | |||||||
\(510\) | −0.00809466 | − | 0.0672350i | −0.000358438 | − | 0.00297721i | ||||
\(511\) | 26.6213 | + | 8.21159i | 1.17766 | + | 0.363259i | ||||
\(512\) | 0.111964 | − | 0.993712i | 0.00494818 | − | 0.0439163i | ||||
\(513\) | −1.12066 | + | 0.964404i | −0.0494783 | + | 0.0425795i | ||||
\(514\) | 10.9215 | − | 22.6787i | 0.481727 | − | 1.00032i | ||||
\(515\) | 3.51905 | + | 4.69290i | 0.155068 | + | 0.206794i | ||||
\(516\) | −0.194214 | − | 0.0997483i | −0.00854980 | − | 0.00439118i | ||||
\(517\) | −9.35765 | + | 9.35765i | −0.411549 | + | 0.411549i | ||||
\(518\) | 0.867283 | − | 0.303476i | 0.0381062 | − | 0.0133340i | ||||
\(519\) | 0.0116055 | − | 0.154864i | 0.000509424 | − | 0.00679780i | ||||
\(520\) | −2.51841 | − | 4.28628i | −0.110440 | − | 0.187966i | ||||
\(521\) | 4.46945 | − | 14.4896i | 0.195810 | − | 0.634801i | −0.803414 | − | 0.595421i | \(-0.796985\pi\) |
0.999224 | − | 0.0393803i | \(-0.0125384\pi\) | |||||||
\(522\) | −3.94037 | − | 14.7057i | −0.172465 | − | 0.643650i | ||||
\(523\) | −17.3046 | − | 4.63676i | −0.756678 | − | 0.202751i | −0.140200 | − | 0.990123i | \(-0.544774\pi\) |
−0.616478 | + | 0.787372i | \(0.711441\pi\) | |||||||
\(524\) | −0.480835 | − | 2.10668i | −0.0210054 | − | 0.0920306i | ||||
\(525\) | −0.438870 | − | 0.203172i | −0.0191539 | − | 0.00886714i | ||||
\(526\) | −14.3014 | − | 13.2698i | −0.623572 | − | 0.578590i | ||||
\(527\) | 1.02347 | + | 9.08351i | 0.0445829 | + | 0.395684i | ||||
\(528\) | −0.0334901 | + | 0.176999i | −0.00145747 | + | 0.00770291i | ||||
\(529\) | 13.9132 | + | 14.9949i | 0.604923 | + | 0.651951i | ||||
\(530\) | 7.28492 | + | 0.490157i | 0.316437 | + | 0.0212911i | ||||
\(531\) | −3.59506 | + | 9.16006i | −0.156012 | + | 0.397513i | ||||
\(532\) | 11.4407 | + | 18.2078i | 0.496017 | + | 0.789407i | ||||
\(533\) | −15.7628 | − | 8.33089i | −0.682763 | − | 0.360851i | ||||
\(534\) | −0.405631 | − | 0.276555i | −0.0175534 | − | 0.0119677i | ||||
\(535\) | −26.5652 | + | 26.9730i | −1.14851 | + | 1.16615i | ||||
\(536\) | 6.86980 | − | 2.69620i | 0.296730 | − | 0.116458i | ||||
\(537\) | −0.0637275 | + | 0.182123i | −0.00275005 | + | 0.00785918i | ||||
\(538\) | −2.62648 | + | 7.50605i | −0.113236 | + | 0.323609i | ||||
\(539\) | 7.24798 | − | 2.84462i | 0.312193 | − | 0.122527i | ||||
\(540\) | 0.313394 | − | 0.318205i | 0.0134863 | − | 0.0136934i | ||||
\(541\) | −21.5086 | − | 14.6643i | −0.924725 | − | 0.630467i | 0.00449660 | − | 0.999990i | \(-0.498569\pi\) |
−0.929222 | + | 0.369523i | \(0.879521\pi\) | |||||||
\(542\) | 16.5366 | + | 8.73983i | 0.710306 | + | 0.375408i | ||||
\(543\) | −0.279857 | − | 0.445390i | −0.0120098 | − | 0.0191135i | ||||
\(544\) | 0.332315 | − | 0.846725i | 0.0142479 | − | 0.0363031i | ||||
\(545\) | 27.7955 | + | 1.87019i | 1.19063 | + | 0.0801100i | ||||
\(546\) | 0.146266 | + | 0.157637i | 0.00625959 | + | 0.00674624i | ||||
\(547\) | −6.64034 | + | 35.0950i | −0.283920 | + | 1.50056i | 0.492484 | + | 0.870321i | \(0.336089\pi\) |
−0.776405 | + | 0.630234i | \(0.782959\pi\) | |||||||
\(548\) | 2.57522 | + | 22.8557i | 0.110008 | + | 0.976347i | ||||
\(549\) | −1.52232 | − | 1.41251i | −0.0649712 | − | 0.0602844i | ||||
\(550\) | −9.32260 | − | 25.3947i | −0.397517 | − | 1.08283i | ||||
\(551\) | 8.36213 | + | 36.6369i | 0.356239 | + | 1.56078i | ||||
\(552\) | −0.0513021 | − | 0.0137464i | −0.00218356 | − | 0.000585084i | ||||
\(553\) | −2.08419 | − | 7.77829i | −0.0886287 | − | 0.330767i | ||||
\(554\) | 1.05639 | − | 3.42475i | 0.0448819 | − | 0.145504i | ||||
\(555\) | 0.0119292 | + | 0.0203033i | 0.000506367 | + | 0.000861826i | ||||
\(556\) | 1.68414 | − | 22.4733i | 0.0714235 | − | 0.953080i | ||||
\(557\) | −39.8721 | + | 13.9518i | −1.68943 | + | 0.591159i | −0.992085 | − | 0.125572i | \(-0.959924\pi\) |
−0.697350 | + | 0.716730i | \(0.745638\pi\) | |||||||
\(558\) | −21.3102 | + | 21.3102i | −0.902131 | + | 0.902131i | ||||
\(559\) | −13.8163 | − | 4.65336i | −0.584369 | − | 0.196816i | ||||
\(560\) | −3.89705 | − | 5.19699i | −0.164680 | − | 0.219613i | ||||
\(561\) | −0.0710944 | + | 0.147629i | −0.00300161 | + | 0.00623290i | ||||
\(562\) | 0.417036 | − | 0.358889i | 0.0175916 | − | 0.0151388i | ||||
\(563\) | 1.32463 | − | 11.7564i | 0.0558266 | − | 0.495475i | −0.934423 | − | 0.356167i | \(-0.884084\pi\) |
0.990249 | − | 0.139308i | \(-0.0444878\pi\) | |||||||
\(564\) | −0.0778219 | − | 0.0240049i | −0.00327689 | − | 0.00101079i | ||||
\(565\) | −2.77519 | − | 23.0510i | −0.116753 | − | 0.969761i | ||||
\(566\) | −13.9575 | + | 8.05835i | −0.586676 | + | 0.338718i | ||||
\(567\) | 13.8946 | − | 22.1132i | 0.583520 | − | 0.928667i | ||||
\(568\) | −2.51862 | − | 3.41261i | −0.105679 | − | 0.143190i | ||||
\(569\) | −14.1267 | + | 15.2249i | −0.592221 | + | 0.638262i | −0.956050 | − | 0.293203i | \(-0.905279\pi\) |
0.363829 | + | 0.931466i | \(0.381469\pi\) | |||||||
\(570\) | −0.401121 | + | 0.377913i | −0.0168011 | + | 0.0158290i | ||||
\(571\) | 5.25186 | + | 7.70306i | 0.219783 | + | 0.322363i | 0.920256 | − | 0.391316i | \(-0.127980\pi\) |
−0.700473 | + | 0.713679i | \(0.747028\pi\) | |||||||
\(572\) | −0.449767 | + | 12.0203i | −0.0188057 | + | 0.502593i | ||||
\(573\) | 0.444922 | − | 0.517009i | 0.0185869 | − | 0.0215983i | ||||
\(574\) | −21.6857 | − | 8.51100i | −0.905143 | − | 0.355242i | ||||
\(575\) | 7.67176 | − | 2.18143i | 0.319935 | − | 0.0909720i | ||||
\(576\) | 2.86566 | − | 0.883939i | 0.119402 | − | 0.0368308i | ||||
\(577\) | −0.0505053 | − | 0.266927i | −0.00210256 | − | 0.0111123i | 0.981499 | − | 0.191465i | \(-0.0613238\pi\) |
−0.983602 | + | 0.180352i | \(0.942276\pi\) | |||||||
\(578\) | −9.60363 | + | 13.0125i | −0.399458 | + | 0.541247i | ||||
\(579\) | 0.169742 | + | 0.432495i | 0.00705423 | + | 0.0179739i | ||||
\(580\) | −3.42854 | − | 10.8217i | −0.142362 | − | 0.449346i | ||||
\(581\) | 4.35174 | + | 9.03648i | 0.180541 | + | 0.374896i | ||||
\(582\) | −0.389822 | − | 0.170077i | −0.0161586 | − | 0.00704994i | ||||
\(583\) | −14.2143 | − | 10.4906i | −0.588697 | − | 0.434478i | ||||
\(584\) | −5.40222 | + | 7.92360i | −0.223545 | + | 0.327881i | ||||
\(585\) | 8.76140 | − | 12.0625i | 0.362239 | − | 0.498724i | ||||
\(586\) | −21.1057 | − | 4.81724i | −0.871868 | − | 0.198998i | ||||
\(587\) | 18.2747 | − | 7.97315i | 0.754276 | − | 0.329087i | 0.0126671 | − | 0.999920i | \(-0.495968\pi\) |
0.741609 | + | 0.670833i | \(0.234063\pi\) | |||||||
\(588\) | 0.0363192 | + | 0.0312552i | 0.00149778 | + | 0.00128894i | ||||
\(589\) | 54.5308 | − | 50.5972i | 2.24690 | − | 2.08482i | ||||
\(590\) | −2.37051 | + | 6.94374i | −0.0975923 | + | 0.285869i | ||||
\(591\) | −0.304058 | − | 0.242478i | −0.0125073 | − | 0.00997423i | ||||
\(592\) | 0.0118267 | + | 0.316075i | 0.000486074 | + | 0.0129906i | ||||
\(593\) | −16.7721 | + | 12.3784i | −0.688748 | + | 0.508319i | −0.881054 | − | 0.473016i | \(-0.843165\pi\) |
0.192306 | + | 0.981335i | \(0.438403\pi\) | |||||||
\(594\) | −1.05355 | + | 0.240465i | −0.0432275 | + | 0.00986640i | ||||
\(595\) | −2.20049 | − | 5.48357i | −0.0902114 | − | 0.224804i | ||||
\(596\) | 5.60844 | + | 3.23803i | 0.229731 | + | 0.132635i | ||||
\(597\) | 0.0473397 | − | 0.0250198i | 0.00193749 | − | 0.00102399i | ||||
\(598\) | −3.52420 | − | 0.397082i | −0.144115 | − | 0.0162379i | ||||
\(599\) | −15.2412 | − | 1.14217i | −0.622737 | − | 0.0466677i | −0.240375 | − | 0.970680i | \(-0.577270\pi\) |
−0.382362 | + | 0.924013i | \(0.624889\pi\) | |||||||
\(600\) | 0.111361 | − | 0.123747i | 0.00454628 | − | 0.00505194i | ||||
\(601\) | − | 40.9984i | − | 1.67236i | −0.548454 | − | 0.836181i | \(-0.684783\pi\) | ||
0.548454 | − | 0.836181i | \(-0.315217\pi\) | |||||||
\(602\) | −18.6203 | − | 4.02076i | −0.758907 | − | 0.163874i | ||||
\(603\) | 15.6495 | + | 15.6495i | 0.637295 | + | 0.637295i | ||||
\(604\) | −5.17769 | − | 2.49344i | −0.210677 | − | 0.101457i | ||||
\(605\) | −8.78799 | + | 39.9013i | −0.357283 | + | 1.62222i | ||||
\(606\) | −0.0920681 | − | 0.115450i | −0.00374001 | − | 0.00468983i | ||||
\(607\) | −9.44536 | − | 17.8715i | −0.383375 | − | 0.725381i | 0.614610 | − | 0.788831i | \(-0.289314\pi\) |
−0.997985 | + | 0.0634499i | \(0.979790\pi\) | |||||||
\(608\) | −7.15006 | + | 1.91585i | −0.289973 | + | 0.0776981i | ||||
\(609\) | 0.245517 | + | 0.425249i | 0.00994887 | + | 0.0172319i | ||||
\(610\) | −1.18134 | − | 1.00106i | −0.0478310 | − | 0.0405319i | ||||
\(611\) | −5.37735 | − | 0.810505i | −0.217544 | − | 0.0327895i | ||||
\(612\) | 2.72589 | − | 0.101996i | 0.110188 | − | 0.00412293i | ||||
\(613\) | 30.6736 | − | 3.45608i | 1.23889 | − | 0.139590i | 0.531899 | − | 0.846808i | \(-0.321479\pi\) |
0.706995 | + | 0.707218i | \(0.250050\pi\) | |||||||
\(614\) | 17.8449 | − | 12.1665i | 0.720163 | − | 0.490999i | ||||
\(615\) | 0.106525 | − | 0.587457i | 0.00429548 | − | 0.0236886i | ||||
\(616\) | 1.17455 | + | 15.6733i | 0.0473239 | + | 0.631494i | ||||
\(617\) | 9.62426 | + | 22.0590i | 0.387458 | + | 0.888063i | 0.995553 | + | 0.0941993i | \(0.0300291\pi\) |
−0.608095 | + | 0.793864i | \(0.708066\pi\) | |||||||
\(618\) | 0.0739544 | − | 0.0464686i | 0.00297488 | − | 0.00186924i | ||||
\(619\) | 2.81022 | + | 9.11051i | 0.112952 | + | 0.366182i | 0.994344 | − | 0.106203i | \(-0.0338693\pi\) |
−0.881392 | + | 0.472385i | \(0.843393\pi\) | |||||||
\(620\) | −15.1584 | + | 16.5885i | −0.608775 | + | 0.666210i | ||||
\(621\) | −0.0474867 | − | 0.315054i | −0.00190558 | − | 0.0126427i | ||||
\(622\) | 2.52248 | − | 5.78159i | 0.101142 | − | 0.231821i | ||||
\(623\) | −40.4305 | − | 14.1473i | −1.61982 | − | 0.566798i | ||||
\(624\) | −0.0666936 | + | 0.0321180i | −0.00266988 | + | 0.00128575i | ||||
\(625\) | −4.81793 | + | 24.5314i | −0.192717 | + | 0.981254i | ||||
\(626\) | −25.7736 | + | 3.88474i | −1.03012 | + | 0.155266i | ||||
\(627\) | 1.31020 | − | 0.247903i | 0.0523244 | − | 0.00990030i | ||||
\(628\) | −0.436628 | + | 0.826140i | −0.0174233 | + | 0.0329666i | ||||
\(629\) | −0.0640201 | + | 0.280491i | −0.00255265 | + | 0.0111839i | ||||
\(630\) | 9.61134 | − | 16.9441i | 0.382925 | − | 0.675069i | ||||
\(631\) | −12.7021 | + | 0.951893i | −0.505664 | + | 0.0378943i | −0.325120 | − | 0.945673i | \(-0.605405\pi\) |
−0.180544 | + | 0.983567i | \(0.557786\pi\) | |||||||
\(632\) | 2.77005 | + | 0.103648i | 0.110187 | + | 0.00412290i | ||||
\(633\) | −0.132570 | − | 0.0250836i | −0.00526918 | − | 0.000996982i | ||||
\(634\) | −18.0676 | + | 22.6560i | −0.717554 | + | 0.899785i | ||||
\(635\) | −3.51453 | − | 0.368904i | −0.139470 | − | 0.0146395i | ||||
\(636\) | 0.0162037 | − | 0.107504i | 0.000642517 | − | 0.00426282i | ||||
\(637\) | 2.70915 | + | 1.70227i | 0.107340 | + | 0.0674464i | ||||
\(638\) | −7.10891 | + | 26.5308i | −0.281445 | + | 1.05037i | ||||
\(639\) | 6.35974 | − | 11.0154i | 0.251587 | − | 0.435762i | ||||
\(640\) | 2.10490 | − | 0.754582i | 0.0832035 | − | 0.0298275i | ||||
\(641\) | 14.0205 | − | 11.1810i | 0.553777 | − | 0.441622i | −0.306191 | − | 0.951970i | \(-0.599055\pi\) |
0.859968 | + | 0.510348i | \(0.170483\pi\) | |||||||
\(642\) | 0.367705 | + | 0.427281i | 0.0145121 | + | 0.0168634i | ||||
\(643\) | −4.57372 | − | 13.0710i | −0.180370 | − | 0.515468i | 0.817829 | − | 0.575462i | \(-0.195178\pi\) |
−0.998199 | + | 0.0599938i | \(0.980892\pi\) | |||||||
\(644\) | −4.63401 | −0.182606 | ||||||||
\(645\) | 0.00881250 | − | 0.488126i | 0.000346992 | − | 0.0192199i | ||||
\(646\) | −6.73314 | −0.264912 | ||||||||
\(647\) | −2.09747 | − | 5.99423i | −0.0824601 | − | 0.235658i | 0.895270 | − | 0.445524i | \(-0.146983\pi\) |
−0.977730 | + | 0.209867i | \(0.932697\pi\) | |||||||
\(648\) | 5.86408 | + | 6.81418i | 0.230363 | + | 0.267686i | ||||
\(649\) | 13.8799 | − | 11.0689i | 0.544834 | − | 0.434491i | ||||
\(650\) | 6.12140 | − | 9.27907i | 0.240101 | − | 0.363955i | ||||
\(651\) | 0.486008 | − | 0.841790i | 0.0190481 | − | 0.0329924i | ||||
\(652\) | −1.70385 | + | 6.35887i | −0.0667281 | + | 0.249033i | ||||
\(653\) | −28.6049 | − | 17.9737i | −1.11940 | − | 0.703364i | −0.160477 | − | 0.987040i | \(-0.551303\pi\) |
−0.958920 | + | 0.283676i | \(0.908446\pi\) | |||||||
\(654\) | 0.0618248 | − | 0.410181i | 0.00241754 | − | 0.0160393i | ||||
\(655\) | 3.75461 | − | 3.04128i | 0.146705 | − | 0.118833i | ||||
\(656\) | 4.99992 | − | 6.26970i | 0.195214 | − | 0.244791i | ||||
\(657\) | −28.2579 | − | 5.34668i | −1.10244 | − | 0.208594i | ||||
\(658\) | −7.10068 | − | 0.265689i | −0.276813 | − | 0.0103576i | ||||
\(659\) | −1.99397 | + | 0.149428i | −0.0776742 | + | 0.00582088i | −0.113510 | − | 0.993537i | \(-0.536210\pi\) |
0.0358363 | + | 0.999358i | \(0.488591\pi\) | |||||||
\(660\) | −0.388274 | + | 0.107214i | −0.0151136 | + | 0.00417331i | ||||
\(661\) | 4.53347 | − | 19.8624i | 0.176332 | − | 0.772560i | −0.806972 | − | 0.590589i | \(-0.798895\pi\) |
0.983304 | − | 0.181970i | \(-0.0582475\pi\) | |||||||
\(662\) | 9.35004 | − | 17.6911i | 0.363400 | − | 0.687586i | ||||
\(663\) | −0.0661589 | + | 0.0125179i | −0.00256940 | + | 0.000486156i | ||||
\(664\) | −3.41399 | + | 0.514577i | −0.132489 | + | 0.0199695i | ||||
\(665\) | −25.2713 | + | 40.9075i | −0.979979 | + | 1.58632i | ||||
\(666\) | −0.854603 | + | 0.411555i | −0.0331152 | + | 0.0159474i | ||||
\(667\) | −7.64375 | − | 2.67467i | −0.295967 | − | 0.103563i | ||||
\(668\) | 8.94518 | − | 20.5026i | 0.346099 | − | 0.793268i | ||||
\(669\) | −0.143298 | − | 0.950720i | −0.00554022 | − | 0.0367570i | ||||
\(670\) | 12.1820 | + | 11.1318i | 0.470632 | + | 0.430058i | ||||
\(671\) | 1.10433 | + | 3.58016i | 0.0426323 | + | 0.138210i | ||||
\(672\) | −0.0818981 | + | 0.0514600i | −0.00315929 | + | 0.00198511i | ||||
\(673\) | 16.5316 | + | 37.8908i | 0.637246 | + | 1.46058i | 0.872483 | + | 0.488644i | \(0.162508\pi\) |
−0.235237 | + | 0.971938i | \(0.575587\pi\) | |||||||
\(674\) | 1.78624 | + | 23.8358i | 0.0688035 | + | 0.918119i | ||||
\(675\) | 0.947548 | + | 0.315443i | 0.0364711 | + | 0.0121414i | ||||
\(676\) | 6.65708 | − | 4.53872i | 0.256042 | − | 0.174566i | ||||
\(677\) | −26.7321 | + | 3.01198i | −1.02740 | + | 0.115760i | −0.609542 | − | 0.792754i | \(-0.708647\pi\) |
−0.417855 | + | 0.908514i | \(0.637218\pi\) | |||||||
\(678\) | −0.345468 | + | 0.0129265i | −0.0132676 | + | 0.000496440i | ||||
\(679\) | −36.6937 | − | 5.53069i | −1.40818 | − | 0.212248i | ||||
\(680\) | 2.02703 | − | 0.167441i | 0.0777330 | − | 0.00642108i | ||||
\(681\) | 0.444282 | + | 0.769520i | 0.0170249 | + | 0.0294881i | ||||
\(682\) | 52.5184 | − | 14.0723i | 2.01103 | − | 0.538855i | ||||
\(683\) | −10.0545 | − | 19.0240i | −0.384724 | − | 0.727933i | 0.613360 | − | 0.789803i | \(-0.289817\pi\) |
−0.998084 | + | 0.0618701i | \(0.980294\pi\) | |||||||
\(684\) | −13.8406 | − | 17.3556i | −0.529210 | − | 0.663608i | ||||
\(685\) | −43.3376 | + | 27.6935i | −1.65584 | + | 1.05811i | ||||
\(686\) | −14.5546 | − | 7.00914i | −0.555699 | − | 0.267610i | ||||
\(687\) | −0.138425 | − | 0.138425i | −0.00528124 | − | 0.00528124i | ||||
\(688\) | 3.21188 | − | 5.71698i | 0.122452 | − | 0.217958i | ||||
\(689\) | − | 7.25958i | − | 0.276568i | ||||||
\(690\) | −0.0229674 | − | 0.116520i | −0.000874354 | − | 0.00443583i | ||||
\(691\) | −2.99498 | − | 0.224443i | −0.113934 | − | 0.00853820i | 0.0176409 | − | 0.999844i | \(-0.494384\pi\) |
−0.131575 | + | 0.991306i | \(0.542003\pi\) | |||||||
\(692\) | 4.63495 | + | 0.522234i | 0.176194 | + | 0.0198523i | ||||
\(693\) | −41.6721 | + | 22.0243i | −1.58299 | + | 0.836636i | ||||
\(694\) | −10.2444 | − | 5.91459i | −0.388871 | − | 0.224515i | ||||
\(695\) | 46.7677 | − | 18.7673i | 1.77400 | − | 0.711885i | ||||
\(696\) | −0.164792 | + | 0.0376127i | −0.00624642 | + | 0.00142570i | ||||
\(697\) | 5.86900 | − | 4.33152i | 0.222304 | − | 0.164068i | ||||
\(698\) | 0.183438 | + | 4.90248i | 0.00694322 | + | 0.185561i | ||||
\(699\) | −0.411274 | − | 0.327980i | −0.0155558 | − | 0.0124054i | ||||
\(700\) | 6.59070 | − | 12.9438i | 0.249105 | − | 0.489228i | ||||
\(701\) | −24.3038 | + | 22.5506i | −0.917942 | + | 0.851726i | −0.989325 | − | 0.145723i | \(-0.953449\pi\) |
0.0713834 | + | 0.997449i | \(0.477259\pi\) | |||||||
\(702\) | −0.336588 | − | 0.289657i | −0.0127037 | − | 0.0109324i | ||||
\(703\) | 2.14596 | − | 0.936273i | 0.0809364 | − | 0.0353122i | ||||
\(704\) | −5.27472 | − | 1.20392i | −0.198798 | − | 0.0453744i | ||||
\(705\) | −0.0285123 | − | 0.179860i | −0.00107383 | − | 0.00677390i | ||||
\(706\) | −5.26321 | + | 7.71971i | −0.198083 | + | 0.290535i | ||||
\(707\) | −10.3663 | − | 7.65069i | −0.389865 | − | 0.287734i | ||||
\(708\) | 0.100136 | + | 0.0436891i | 0.00376336 | + | 0.00164194i | ||||
\(709\) | 16.9517 | + | 35.2005i | 0.636633 | + | 1.32198i | 0.930555 | + | 0.366153i | \(0.119325\pi\) |
−0.293921 | + | 0.955830i | \(0.594960\pi\) | |||||||
\(710\) | 4.36760 | − | 8.41850i | 0.163913 | − | 0.315941i | ||||
\(711\) | 3.03704 | + | 7.73826i | 0.113898 | + | 0.290207i | ||||
\(712\) | 8.75583 | − | 11.8637i | 0.328139 | − | 0.444612i | ||||
\(713\) | 2.98027 | + | 15.7511i | 0.111612 | + | 0.589884i | ||||
\(714\) | −0.0840713 | + | 0.0259326i | −0.00314629 | + | 0.000970501i | ||||
\(715\) | −24.5701 | + | 10.9433i | −0.918869 | + | 0.409258i | ||||
\(716\) | −5.39453 | − | 2.11720i | −0.201603 | − | 0.0791233i | ||||
\(717\) | 0.467086 | − | 0.542764i | 0.0174436 | − | 0.0202699i | ||||
\(718\) | −0.0409272 | + | 1.09380i | −0.00152739 | + | 0.0408204i | ||||
\(719\) | −8.47534 | − | 12.4310i | −0.316077 | − | 0.463599i | 0.635019 | − | 0.772497i | \(-0.280992\pi\) |
−0.951095 | + | 0.308897i | \(0.900040\pi\) | |||||||
\(720\) | 4.59836 | + | 4.88076i | 0.171371 | + | 0.181895i | ||||
\(721\) | 5.18330 | − | 5.58627i | 0.193036 | − | 0.208044i | ||||
\(722\) | 21.2551 | + | 28.7996i | 0.791033 | + | 1.07181i | ||||
\(723\) | 0.0362958 | − | 0.0577644i | 0.00134985 | − | 0.00214828i | ||||
\(724\) | 13.6819 | − | 7.89924i | 0.508483 | − | 0.293573i | ||||
\(725\) | 18.3422 | − | 17.5466i | 0.681212 | − | 0.651663i | ||||
\(726\) | 0.581346 | + | 0.179322i | 0.0215758 | + | 0.00665525i | ||||
\(727\) | −4.19030 | + | 37.1899i | −0.155409 | + | 1.37930i | 0.637731 | + | 0.770259i | \(0.279873\pi\) |
−0.793141 | + | 0.609038i | \(0.791556\pi\) | |||||||
\(728\) | −4.89545 | + | 4.21288i | −0.181438 | + | 0.156140i | ||||
\(729\) | −11.6889 | + | 24.2722i | −0.432922 | + | 0.898972i | ||||
\(730\) | −21.2280 | − | 3.03442i | −0.785684 | − | 0.112309i | ||||
\(731\) | 4.16789 | − | 4.26684i | 0.154155 | − | 0.157815i | ||||
\(732\) | −0.0163035 | + | 0.0163035i | −0.000602593 | + | 0.000602593i | ||||
\(733\) | 39.9302 | − | 13.9722i | 1.47485 | − | 0.516074i | 0.531269 | − | 0.847203i | \(-0.321715\pi\) |
0.943585 | + | 0.331129i | \(0.107430\pi\) | |||||||
\(734\) | −2.24092 | + | 29.9030i | −0.0827137 | + | 1.10374i | ||||
\(735\) | −0.0269418 | + | 0.103701i | −0.000993762 | + | 0.00382508i | ||||
\(736\) | 0.470186 | − | 1.52431i | 0.0173313 | − | 0.0561866i | ||||
\(737\) | −10.3342 | − | 38.5677i | −0.380665 | − | 1.42066i | ||||
\(738\) | 23.2294 | + | 6.22430i | 0.855086 | + | 0.229120i | ||||
\(739\) | −10.2969 | − | 45.1135i | −0.378777 | − | 1.65953i | −0.701224 | − | 0.712941i | \(-0.747363\pi\) |
0.322447 | − | 0.946587i | \(-0.395495\pi\) | |||||||
\(740\) | −0.622764 | + | 0.335234i | −0.0228932 | + | 0.0123234i | ||||
\(741\) | 0.401675 | + | 0.372700i | 0.0147559 | + | 0.0136915i | ||||
\(742\) | −1.06206 | − | 9.42605i | −0.0389895 | − | 0.346041i | ||||
\(743\) | 6.14325 | − | 32.4679i | 0.225374 | − | 1.19113i | −0.668811 | − | 0.743433i | \(-0.733196\pi\) |
0.894185 | − | 0.447698i | \(-0.147756\pi\) | |||||||
\(744\) | 0.227585 | + | 0.245278i | 0.00834367 | + | 0.00899234i | ||||
\(745\) | −0.972134 | + | 14.4483i | −0.0356162 | + | 0.529343i | ||||
\(746\) | −7.06118 | + | 17.9916i | −0.258528 | + | 0.658719i | ||||
\(747\) | −5.50858 | − | 8.76685i | −0.201548 | − | 0.320762i | ||||
\(748\) | −4.35098 | − | 2.29956i | −0.159088 | − | 0.0840803i | ||||
\(749\) | 40.6379 | + | 27.7065i | 1.48488 | + | 1.01237i | ||||
\(750\) | 0.358129 | + | 0.101567i | 0.0130770 | + | 0.00370870i | ||||
\(751\) | 39.6245 | − | 15.5515i | 1.44592 | − | 0.567481i | 0.492818 | − | 0.870133i | \(-0.335967\pi\) |
0.953101 | + | 0.302651i | \(0.0978718\pi\) | |||||||
\(752\) | 0.807860 | − | 2.30873i | 0.0294596 | − | 0.0841907i | ||||
\(753\) | −0.0889194 | + | 0.254117i | −0.00324040 | + | 0.00926054i | ||||
\(754\) | −10.5066 | + | 4.12354i | −0.382628 | + | 0.150170i | ||||
\(755\) | −0.0978827 | − | 12.8499i | −0.00356231 | − | 0.467655i | ||||
\(756\) | −0.479412 | − | 0.326857i | −0.0174360 | − | 0.0118877i | ||||
\(757\) | 8.10421 | + | 4.28320i | 0.294553 | + | 0.155676i | 0.608016 | − | 0.793925i | \(-0.291966\pi\) |
−0.313464 | + | 0.949600i | \(0.601489\pi\) | |||||||
\(758\) | −5.62076 | − | 8.94538i | −0.204155 | − | 0.324911i | ||||
\(759\) | −0.104982 | + | 0.267491i | −0.00381062 | + | 0.00970930i | ||||
\(760\) | −10.8919 | − | 12.4634i | −0.395091 | − | 0.452093i | ||||
\(761\) | −10.3696 | − | 11.1758i | −0.375897 | − | 0.405121i | 0.516562 | − | 0.856250i | \(-0.327212\pi\) |
−0.892459 | + | 0.451129i | \(0.851021\pi\) | |||||||
\(762\) | −0.00978254 | + | 0.0517019i | −0.000354384 | + | 0.00187296i | ||||
\(763\) | −4.05228 | − | 35.9650i | −0.146702 | − | 1.30202i | ||||
\(764\) | 15.0175 | + | 13.9342i | 0.543312 | + | 0.504120i | ||||
\(765\) | 2.89112 | + | 5.37084i | 0.104529 | + | 0.194183i | ||||
\(766\) | 4.79343 | + | 21.0014i | 0.173194 | + | 0.758811i | ||||
\(767\) | 7.04664 | + | 1.88814i | 0.254439 | + | 0.0681768i | ||||
\(768\) | −0.00861746 | − | 0.0321608i | −0.000310956 | − | 0.00116050i | ||||
\(769\) | 12.6932 | − | 41.1504i | 0.457729 | − | 1.48392i | −0.373310 | − | 0.927707i | \(-0.621777\pi\) |
0.831039 | − | 0.556214i | \(-0.187747\pi\) | |||||||
\(770\) | −30.3015 | + | 17.8037i | −1.09199 | + | 0.641601i | ||||
\(771\) | 0.0626307 | − | 0.835749i | 0.00225559 | − | 0.0300988i | ||||
\(772\) | −13.1712 | + | 4.60880i | −0.474042 | + | 0.165874i | ||||
\(773\) | 22.3610 | − | 22.3610i | 0.804270 | − | 0.804270i | −0.179489 | − | 0.983760i | \(-0.557445\pi\) |
0.983760 | + | 0.179489i | \(0.0574446\pi\) | |||||||
\(774\) | 19.5659 | + | 1.97240i | 0.703281 | + | 0.0708966i | ||||
\(775\) | −48.2348 | − | 14.0774i | −1.73265 | − | 0.505676i | ||||
\(776\) | 5.54235 | − | 11.5088i | 0.198959 | − | 0.413142i | ||||
\(777\) | 0.0231888 | − | 0.0199556i | 0.000831895 | − | 0.000715903i | ||||
\(778\) | −0.227838 | + | 2.02212i | −0.00816839 | + | 0.0724965i | ||||
\(779\) | −56.7235 | − | 17.4969i | −2.03233 | − | 0.626891i | ||||
\(780\) | −0.130194 | − | 0.102213i | −0.00466169 | − | 0.00365983i | ||||
\(781\) | −19.8731 | + | 11.4737i | −0.711116 | + | 0.410563i | ||||
\(782\) | 0.771965 | − | 1.22858i | 0.0276054 | − | 0.0439338i | ||||
\(783\) | −0.602129 | − | 0.815855i | −0.0215183 | − | 0.0291563i | ||||
\(784\) | −0.978856 | + | 1.05496i | −0.0349591 | + | 0.0376770i | ||||
\(785\) | −2.08851 | − | 0.0622198i | −0.0745422 | − | 0.00222072i | ||||
\(786\) | −0.0405288 | − | 0.0594449i | −0.00144562 | − | 0.00212033i | ||||
\(787\) | −0.449706 | + | 12.0187i | −0.0160303 | + | 0.428419i | 0.968057 | + | 0.250731i | \(0.0806711\pi\) |
−0.984087 | + | 0.177687i | \(0.943138\pi\) | |||||||
\(788\) | 7.61903 | − | 8.85347i | 0.271417 | − | 0.315392i | ||||
\(789\) | −0.604670 | − | 0.237316i | −0.0215268 | − | 0.00844866i | ||||
\(790\) | 2.52188 | + | 5.66214i | 0.0897243 | + | 0.201450i | ||||
\(791\) | −28.8231 | + | 8.89076i | −1.02483 | + | 0.316119i | ||||
\(792\) | −3.01644 | − | 15.9422i | −0.107184 | − | 0.566483i | ||||
\(793\) | −0.914234 | + | 1.23874i | −0.0324654 | + | 0.0439891i | ||||
\(794\) | 1.30394 | + | 3.32239i | 0.0462752 | + | 0.117907i | ||||
\(795\) | 0.231749 | − | 0.0734230i | 0.00821930 | − | 0.00260405i | ||||
\(796\) | 0.697761 | + | 1.44892i | 0.0247315 | + | 0.0513555i | ||||
\(797\) | −28.5220 | − | 12.4440i | −1.01030 | − | 0.440791i | −0.171476 | − | 0.985188i | \(-0.554853\pi\) |
−0.838827 | + | 0.544398i | \(0.816758\pi\) | |||||||
\(798\) | 0.576072 | + | 0.425160i | 0.0203927 | + | 0.0150505i | ||||
\(799\) | 1.25332 | − | 1.83828i | 0.0443393 | − | 0.0650338i | ||||
\(800\) | 3.58898 | + | 3.48126i | 0.126890 | + | 0.123081i | ||||
\(801\) | 43.1098 | + | 9.83952i | 1.52321 | + | 0.347662i | ||||
\(802\) | −10.9276 | + | 4.76765i | −0.385866 | + | 0.168351i | ||||
\(803\) | 39.3275 | + | 33.8441i | 1.38784 | + | 1.19433i | ||||
\(804\) | 0.180124 | − | 0.167131i | 0.00635248 | − | 0.00589424i | ||||
\(805\) | −4.56687 | − | 9.30129i | −0.160961 | − | 0.327827i | ||||
\(806\) | 17.4681 | + | 13.9303i | 0.615287 | + | 0.490675i | ||||
\(807\) | 0.00990024 | + | 0.264590i | 0.000348505 | + | 0.00931399i | ||||
\(808\) | 3.56842 | − | 2.63361i | 0.125536 | − | 0.0926501i | ||||
\(809\) | 41.5254 | − | 9.47789i | 1.45995 | − | 0.333225i | 0.582478 | − | 0.812846i | \(-0.302083\pi\) |
0.877476 | + | 0.479621i | \(0.159226\pi\) | |||||||
\(810\) | −7.89817 | + | 18.4857i | −0.277513 | + | 0.649522i | ||||
\(811\) | 9.09371 | + | 5.25026i | 0.319324 | + | 0.184362i | 0.651091 | − | 0.759000i | \(-0.274312\pi\) |
−0.331767 | + | 0.943361i | \(0.607645\pi\) | |||||||
\(812\) | −13.0388 | + | 6.89121i | −0.457572 | + | 0.241834i | ||||
\(813\) | 0.618843 | + | 0.0697268i | 0.0217038 | + | 0.00244543i | ||||
\(814\) | 1.70649 | + | 0.127884i | 0.0598126 | + | 0.00448233i | ||||
\(815\) | −14.4426 | + | 2.84680i | −0.505901 | + | 0.0997190i | ||||
\(816\) | − | 0.0302855i | − | 0.00106021i | ||||||
\(817\) | −48.0794 | − | 6.67097i | −1.68209 | − | 0.233388i | ||||
\(818\) | −20.3040 | − | 20.3040i | −0.709913 | − | 0.709913i | ||||
\(819\) | −17.4506 | − | 8.40377i | −0.609774 | − | 0.293652i | ||||
\(820\) | 17.5119 | + | 3.85687i | 0.611541 | + | 0.134688i | ||||
\(821\) | −4.65459 | − | 5.83667i | −0.162446 | − | 0.203701i | 0.693946 | − | 0.720027i | \(-0.255871\pi\) |
−0.856392 | + | 0.516326i | \(0.827299\pi\) | |||||||
\(822\) | 0.357836 | + | 0.677058i | 0.0124810 | + | 0.0236151i | ||||
\(823\) | 25.9342 | − | 6.94905i | 0.904010 | − | 0.242229i | 0.223273 | − | 0.974756i | \(-0.428326\pi\) |
0.680738 | + | 0.732527i | \(0.261659\pi\) | |||||||
\(824\) | 1.31162 | + | 2.27180i | 0.0456925 | + | 0.0791418i | ||||
\(825\) | −0.597847 | − | 0.673676i | −0.0208144 | − | 0.0234544i | ||||
\(826\) | 9.42579 | + | 1.42071i | 0.327965 | + | 0.0494328i | ||||
\(827\) | −1.63384 | + | 0.0611341i | −0.0568143 | + | 0.00212584i | −0.0657832 | − | 0.997834i | \(-0.520955\pi\) |
0.00896893 | + | 0.999960i | \(0.497145\pi\) | |||||||
\(828\) | 4.75368 | − | 0.535611i | 0.165202 | − | 0.0186138i | ||||
\(829\) | 23.2551 | − | 15.8551i | 0.807683 | − | 0.550669i | −0.0876055 | − | 0.996155i | \(-0.527921\pi\) |
0.895289 | + | 0.445486i | \(0.146969\pi\) | |||||||
\(830\) | −4.39738 | − | 6.34538i | −0.152635 | − | 0.220251i | ||||
\(831\) | −0.00891751 | − | 0.118996i | −0.000309345 | − | 0.00412792i | ||||
\(832\) | −0.889066 | − | 2.03776i | −0.0308228 | − | 0.0706466i | ||||
\(833\) | −1.10839 | + | 0.696449i | −0.0384035 | + | 0.0241305i | ||||
\(834\) | −0.221171 | − | 0.717018i | −0.00765851 | − | 0.0248283i | ||||
\(835\) | 49.9679 | − | 2.25093i | 1.72921 | − | 0.0778968i | ||||
\(836\) | 5.96901 | + | 39.6018i | 0.206442 | + | 1.36966i | ||||
\(837\) | −0.802672 | + | 1.83974i | −0.0277444 | + | 0.0635909i | ||||
\(838\) | 26.4589 | + | 9.25837i | 0.914008 | + | 0.319825i | ||||
\(839\) | −40.1196 | + | 19.3206i | −1.38508 | + | 0.667020i | −0.970076 | − | 0.242800i | \(-0.921934\pi\) |
−0.415004 | + | 0.909819i | \(0.636220\pi\) | |||||||
\(840\) | −0.184001 | − | 0.113670i | −0.00634864 | − | 0.00392198i | ||||
\(841\) | 3.19123 | − | 0.481000i | 0.110042 | − | 0.0165862i | ||||
\(842\) | −38.4301 | + | 7.27136i | −1.32439 | + | 0.250588i | ||||
\(843\) | 0.00855994 | − | 0.0161962i | 0.000294820 | − | 0.000557827i | ||||
\(844\) | 0.901717 | − | 3.95068i | 0.0310384 | − | 0.135988i | ||||
\(845\) | 15.6707 | + | 8.88899i | 0.539087 | + | 0.305791i | ||||
\(846\) | 7.31475 | − | 0.548165i | 0.251486 | − | 0.0188463i | ||||
\(847\) | 53.0436 | + | 1.98475i | 1.82260 | + | 0.0681969i | ||||
\(848\) | 3.20835 | + | 0.607053i | 0.110175 | + | 0.0208463i | ||||
\(849\) | −0.334571 | + | 0.419539i | −0.0114825 | + | 0.0143985i | ||||
\(850\) | 2.33374 | + | 3.90360i | 0.0800468 | + | 0.133892i | ||||
\(851\) | −0.0751989 | + | 0.498912i | −0.00257779 | + | 0.0171025i | ||||
\(852\) | −0.119573 | − | 0.0751328i | −0.00409651 | − | 0.00257401i | ||||
\(853\) | 12.0264 | − | 44.8831i | 0.411776 | − | 1.53677i | −0.379431 | − | 0.925220i | \(-0.623880\pi\) |
0.791207 | − | 0.611548i | \(-0.209453\pi\) | |||||||
\(854\) | −1.00584 | + | 1.74217i | −0.0344192 | + | 0.0596159i | ||||
\(855\) | 21.1957 | − | 44.8848i | 0.724878 | − | 1.53503i | ||||
\(856\) | −13.2370 | + | 10.5562i | −0.452432 | + | 0.360802i | ||||
\(857\) | 33.4147 | + | 38.8286i | 1.14142 | + | 1.32636i | 0.937746 | + | 0.347322i | \(0.112909\pi\) |
0.203678 | + | 0.979038i | \(0.434710\pi\) | |||||||
\(858\) | 0.132276 | + | 0.378024i | 0.00451584 | + | 0.0129055i | ||||
\(859\) | −12.7934 | −0.436507 | −0.218253 | − | 0.975892i | \(-0.570036\pi\) | ||||
−0.218253 | + | 0.975892i | \(0.570036\pi\) | |||||||
\(860\) | 14.6403 | + | 0.812665i | 0.499231 | + | 0.0277116i | ||||
\(861\) | −0.775649 | −0.0264341 | ||||||||
\(862\) | 12.2181 | + | 34.9174i | 0.416151 | + | 1.18929i | ||||
\(863\) | 10.1203 | + | 11.7600i | 0.344499 | + | 0.400315i | 0.903316 | − | 0.428976i | \(-0.141126\pi\) |
−0.558817 | + | 0.829291i | \(0.688745\pi\) | |||||||
\(864\) | 0.156159 | − | 0.124533i | 0.00531264 | − | 0.00423669i | ||||
\(865\) | 3.51958 | + | 9.81785i | 0.119669 | + | 0.333817i | ||||
\(866\) | −3.77343 | + | 6.53578i | −0.128226 | + | 0.222095i | ||||
\(867\) | −0.139367 | + | 0.520125i | −0.00473315 | + | 0.0176644i | ||||
\(868\) | 24.7191 | + | 15.5320i | 0.839020 | + | 0.527191i | ||||
\(869\) | 2.23526 | − | 14.8300i | 0.0758260 | − | 0.503072i | ||||
\(870\) | −0.237900 | − | 0.293699i | −0.00806555 | − | 0.00995733i | ||||
\(871\) | 10.2300 | − | 12.8280i | 0.346629 | − | 0.434659i | ||||
\(872\) | 12.2414 | + | 2.31620i | 0.414547 | + | 0.0784365i | ||||
\(873\) | 38.2805 | + | 1.43236i | 1.29560 | + | 0.0484779i | ||||
\(874\) | −11.7749 | + | 0.882408i | −0.398293 | + | 0.0298479i | ||||
\(875\) | 32.4756 | + | 0.472494i | 1.09788 | + | 0.0159732i | ||||
\(876\) | −0.0710511 | + | 0.311295i | −0.00240060 | + | 0.0105177i | ||||
\(877\) | 21.9241 | − | 41.4824i | 0.740325 | − | 1.40076i | −0.169399 | − | 0.985548i | \(-0.554183\pi\) |
0.909723 | − | 0.415215i | \(-0.136294\pi\) | |||||||
\(878\) | −20.2001 | + | 3.82207i | −0.681720 | + | 0.128988i | ||||
\(879\) | −0.712742 | + | 0.107429i | −0.0240402 | + | 0.00362348i | ||||
\(880\) | −2.78181 | − | 11.7738i | −0.0937748 | − | 0.396894i | ||||
\(881\) | 8.69996 | − | 4.18968i | 0.293109 | − | 0.141154i | −0.281551 | − | 0.959546i | \(-0.590849\pi\) |
0.574660 | + | 0.818393i | \(0.305134\pi\) | |||||||
\(882\) | −4.07360 | − | 1.42542i | −0.137165 | − | 0.0479962i | ||||
\(883\) | −12.8650 | + | 29.4869i | −0.432941 | + | 0.992312i | 0.554188 | + | 0.832391i | \(0.313029\pi\) |
−0.987130 | + | 0.159921i | \(0.948876\pi\) | |||||||
\(884\) | −0.301406 | − | 1.99970i | −0.0101374 | − | 0.0672572i | ||||
\(885\) | 0.0109938 | + | 0.244048i | 0.000369551 | + | 0.00820358i | ||||
\(886\) | 5.25071 | + | 17.0224i | 0.176401 | + | 0.571878i | ||||
\(887\) | −26.9700 | + | 16.9464i | −0.905563 | + | 0.569003i | −0.902356 | − | 0.430992i | \(-0.858164\pi\) |
−0.00320749 | + | 0.999995i | \(0.501021\pi\) | |||||||
\(888\) | 0.00421134 | + | 0.00965248i | 0.000141323 | + | 0.000323916i | ||||
\(889\) | 0.343088 | + | 4.57820i | 0.0115068 | + | 0.153548i | ||||
\(890\) | 32.4416 | + | 5.88268i | 1.08744 | + | 0.197188i | ||||
\(891\) | 40.1877 | − | 27.3995i | 1.34634 | − | 0.917918i | ||||
\(892\) | 28.6951 | − | 3.23316i | 0.960784 | − | 0.108254i | ||||
\(893\) | −18.0933 | + | 0.677002i | −0.605468 | + | 0.0226550i | ||||
\(894\) | 0.213214 | + | 0.0321369i | 0.00713096 | + | 0.00107482i | ||||
\(895\) | −1.06678 | − | 12.9143i | −0.0356584 | − | 0.431678i | ||||
\(896\) | −1.45251 | − | 2.51582i | −0.0485249 | − | 0.0840476i | ||||
\(897\) | −0.114058 | + | 0.0305618i | −0.00380829 | + | 0.00102043i | ||||
\(898\) | 12.3843 | + | 23.4323i | 0.413270 | + | 0.781946i | ||||
\(899\) | 31.8090 | + | 39.8873i | 1.06089 | + | 1.33032i | ||||
\(900\) | −5.26482 | + | 14.0398i | −0.175494 | + | 0.467993i | ||||
\(901\) | 2.67597 | + | 1.28868i | 0.0891496 | + | 0.0429322i | ||||
\(902\) | −30.6793 | − | 30.6793i | −1.02151 | − | 1.02151i | ||||
\(903\) | −0.626022 | + | 0.101882i | −0.0208327 | + | 0.00339042i | ||||
\(904\) | − | 10.3831i | − | 0.345338i | ||||||
\(905\) | 29.3388 | + | 19.6772i | 0.975256 | + | 0.654092i | ||||
\(906\) | −0.190807 | − | 0.0142990i | −0.00633913 | − | 0.000475052i | ||||
\(907\) | 3.07350 | + | 0.346300i | 0.102054 | + | 0.0114987i | 0.162844 | − | 0.986652i | \(-0.447933\pi\) |
−0.0607898 | + | 0.998151i | \(0.519362\pi\) | |||||||
\(908\) | −23.5947 | + | 12.4702i | −0.783018 | + | 0.413837i | ||||
\(909\) | 11.5183 | + | 6.65009i | 0.382038 | + | 0.220569i | ||||
\(910\) | −13.2805 | − | 5.67421i | −0.440245 | − | 0.188098i | ||||
\(911\) | −0.100011 | + | 0.0228268i | −0.00331350 | + | 0.000756285i | −0.224177 | − | 0.974548i | \(-0.571969\pi\) |
0.220864 | + | 0.975305i | \(0.429112\pi\) | |||||||
\(912\) | −0.198302 | + | 0.146354i | −0.00656645 | + | 0.00484626i | ||||
\(913\) | 0.698453 | + | 18.6665i | 0.0231154 | + | 0.617772i | ||||
\(914\) | 16.7904 | + | 13.3899i | 0.555376 | + | 0.442897i | ||||
\(915\) | −0.0487912 | − | 0.0166567i | −0.00161299 | − | 0.000550654i | ||||
\(916\) | 4.31004 | − | 3.99913i | 0.142408 | − | 0.132135i | ||||
\(917\) | −4.75803 | − | 4.09462i | −0.157124 | − | 0.135216i | ||||
\(918\) | 0.166521 | − | 0.0726522i | 0.00549600 | − | 0.00239788i | ||||
\(919\) | −28.4572 | − | 6.49517i | −0.938716 | − | 0.214256i | −0.274322 | − | 0.961638i | \(-0.588453\pi\) |
−0.664394 | + | 0.747382i | \(0.731310\pi\) | |||||||
\(920\) | 3.52293 | − | 0.558473i | 0.116147 | − | 0.0184123i | ||||
\(921\) | 0.405087 | − | 0.594153i | 0.0133481 | − | 0.0195780i | ||||
\(922\) | −26.5058 | − | 19.5622i | −0.872923 | − | 0.644247i | ||||
\(923\) | −8.64294 | − | 3.77088i | −0.284486 | − | 0.124120i | ||||
\(924\) | 0.227056 | + | 0.471486i | 0.00746958 | + | 0.0155107i | ||||
\(925\) | −1.28661 | − | 0.919622i | −0.0423036 | − | 0.0302370i | ||||
\(926\) | −7.09325 | − | 18.0733i | −0.233099 | − | 0.593926i | ||||
\(927\) | −4.67148 | + | 6.32963i | −0.153432 | + | 0.207892i | ||||
\(928\) | −0.943815 | − | 4.98818i | −0.0309822 | − | 0.163745i | ||||
\(929\) | 1.84605 | − | 0.569430i | 0.0605668 | − | 0.0186824i | −0.264324 | − | 0.964434i | \(-0.585149\pi\) |
0.324891 | + | 0.945752i | \(0.394673\pi\) | |||||||
\(930\) | −0.268030 | + | 0.698528i | −0.00878905 | + | 0.0229056i | ||||
\(931\) | 9.91645 | + | 3.89192i | 0.324998 | + | 0.127553i | ||||
\(932\) | 10.3056 | − | 11.9753i | 0.337572 | − | 0.392265i | ||||
\(933\) | 0.00785304 | − | 0.209877i | 0.000257097 | − | 0.00687106i | ||||
\(934\) | 15.1979 | + | 22.2913i | 0.497291 | + | 0.729393i | ||||
\(935\) | 0.327690 | − | 10.9994i | 0.0107166 | − | 0.359720i | ||||
\(936\) | 4.53494 | − | 4.88750i | 0.148229 | − | 0.159753i | ||||
\(937\) | −29.1186 | − | 39.4543i | −0.951263 | − | 1.28892i | −0.957349 | − | 0.288934i | \(-0.906699\pi\) |
0.00608649 | − | 0.999981i | \(-0.498063\pi\) | |||||||
\(938\) | 11.4062 | − | 18.1528i | 0.372425 | − | 0.592711i | ||||
\(939\) | −0.751565 | + | 0.433916i | −0.0245264 | + | 0.0141603i | ||||
\(940\) | 5.43019 | − | 0.653760i | 0.177113 | − | 0.0213233i | ||||
\(941\) | −0.206666 | − | 0.0637481i | −0.00673712 | − | 0.00207813i | 0.291385 | − | 0.956606i | \(-0.405884\pi\) |
−0.298122 | + | 0.954528i | \(0.596360\pi\) | |||||||
\(942\) | −0.00348344 | + | 0.0309164i | −0.000113497 | + | 0.00100731i | ||||
\(943\) | 9.69604 | − | 8.34412i | 0.315747 | − | 0.271722i | ||||
\(944\) | −1.42371 | + | 2.95636i | −0.0463377 | + | 0.0962212i | ||||
\(945\) | 0.183596 | − | 1.28439i | 0.00597237 | − | 0.0417811i | ||||
\(946\) | −28.7908 | − | 20.7313i | −0.936070 | − | 0.674034i | ||||
\(947\) | −5.00485 | + | 5.00485i | −0.162636 | + | 0.162636i | −0.783733 | − | 0.621098i | \(-0.786687\pi\) |
0.621098 | + | 0.783733i | \(0.286687\pi\) | |||||||
\(948\) | 0.0871151 | − | 0.0304829i | 0.00282937 | − | 0.000990038i | ||||
\(949\) | −1.59332 | + | 21.2614i | −0.0517214 | + | 0.690175i | ||||
\(950\) | 14.2821 | − | 34.1448i | 0.463372 | − | 1.10780i | ||||
\(951\) | −0.284390 | + | 0.921971i | −0.00922199 | + | 0.0298969i | ||||
\(952\) | −0.683907 | − | 2.55237i | −0.0221655 | − | 0.0827229i | ||||
\(953\) | −5.32979 | − | 1.42811i | −0.172649 | − | 0.0462611i | 0.171459 | − | 0.985191i | \(-0.445152\pi\) |
−0.344108 | + | 0.938930i | \(0.611819\pi\) | |||||||
\(954\) | 2.17897 | + | 9.54671i | 0.0705469 | + | 0.309086i | ||||
\(955\) | −13.1685 | + | 43.8750i | −0.426122 | + | 1.41976i | ||||
\(956\) | 15.7656 | + | 14.6283i | 0.509895 | + | 0.473113i | ||||
\(957\) | 0.102393 | + | 0.908763i | 0.00330990 | + | 0.0293761i | ||||
\(958\) | 7.59837 | − | 40.1584i | 0.245492 | − | 1.29746i | ||||
\(959\) | 45.4466 | + | 48.9798i | 1.46755 | + | 1.58164i | ||||
\(960\) | 0.0560599 | − | 0.0489916i | 0.00180933 | − | 0.00158120i | ||||
\(961\) | 25.5706 | − | 65.1527i | 0.824857 | − | 2.10170i | ||||
\(962\) | 0.374130 | + | 0.595425i | 0.0120624 | + | 0.0191973i | ||||
\(963\) | −44.8897 | − | 23.7249i | −1.44655 | − | 0.764524i | ||||
\(964\) | 1.69294 | + | 1.15422i | 0.0545258 | + | 0.0371751i | ||||
\(965\) | −22.2311 | − | 21.8949i | −0.715643 | − | 0.704823i | ||||
\(966\) | −0.143625 | + | 0.0563688i | −0.00462107 | + | 0.00181364i | ||||
\(967\) | 9.87459 | − | 28.2200i | 0.317545 | − | 0.907493i | −0.668893 | − | 0.743359i | \(-0.733231\pi\) |
0.986438 | − | 0.164134i | \(-0.0524829\pi\) | |||||||
\(968\) | −6.03488 | + | 17.2467i | −0.193969 | + | 0.554330i | ||||
\(969\) | −0.208685 | + | 0.0819029i | −0.00670393 | + | 0.00263110i | ||||
\(970\) | 28.5623 | − | 0.217571i | 0.917080 | − | 0.00698577i | ||||
\(971\) | 7.26040 | + | 4.95006i | 0.232997 | + | 0.158855i | 0.674191 | − | 0.738557i | \(-0.264492\pi\) |
−0.441194 | + | 0.897412i | \(0.645445\pi\) | |||||||
\(972\) | 0.794405 | + | 0.419855i | 0.0254806 | + | 0.0134669i | ||||
\(973\) | −34.8313 | − | 55.4337i | −1.11664 | − | 1.77712i | ||||
\(974\) | −8.54906 | + | 21.7826i | −0.273929 | + | 0.697961i | ||||
\(975\) | 0.0768532 | − | 0.362055i | 0.00246127 | − | 0.0115950i | ||||
\(976\) | −0.471010 | − | 0.507629i | −0.0150767 | − | 0.0162488i | ||||
\(977\) | −7.98639 | + | 42.2091i | −0.255507 | + | 1.35039i | 0.586074 | + | 0.810258i | \(0.300673\pi\) |
−0.841581 | + | 0.540131i | \(0.818375\pi\) | |||||||
\(978\) | 0.0245414 | + | 0.217811i | 0.000784748 | + | 0.00696483i | ||||
\(979\) | −58.4795 | − | 54.2611i | −1.86901 | − | 1.73419i | ||||
\(980\) | −3.08216 | − | 0.925069i | −0.0984560 | − | 0.0295502i | ||||
\(981\) | 8.31384 | + | 36.4253i | 0.265441 | + | 1.16297i | ||||
\(982\) | 17.5702 | + | 4.70792i | 0.560687 | + | 0.150236i | ||||
\(983\) | −4.86638 | − | 18.1616i | −0.155213 | − | 0.579264i | −0.999087 | − | 0.0427220i | \(-0.986397\pi\) |
0.843874 | − | 0.536542i | \(-0.180270\pi\) | |||||||
\(984\) | 0.0787006 | − | 0.255141i | 0.00250888 | − | 0.00813360i | ||||
\(985\) | 25.2791 | + | 6.56756i | 0.805460 | + | 0.209260i | ||||
\(986\) | 0.345086 | − | 4.60485i | 0.0109898 | − | 0.146648i | ||||
\(987\) | −0.223308 | + | 0.0781390i | −0.00710799 | + | 0.00248719i | ||||
\(988\) | −11.6370 | + | 11.6370i | −0.370223 | + | 0.370223i | ||||
\(989\) | 6.72962 | − | 8.00807i | 0.213989 | − | 0.254642i | ||||
\(990\) | 29.0262 | − | 21.7658i | 0.922513 | − | 0.691762i | ||||
\(991\) | −2.49386 | + | 5.17855i | −0.0792200 | + | 0.164502i | −0.936817 | − | 0.349821i | \(-0.886242\pi\) |
0.857597 | + | 0.514323i | \(0.171957\pi\) | |||||||
\(992\) | −7.61718 | + | 6.55511i | −0.241846 | + | 0.208125i | ||||
\(993\) | 0.0745951 | − | 0.662050i | 0.00236721 | − | 0.0210095i | ||||
\(994\) | −11.7739 | − | 3.63177i | −0.373446 | − | 0.115193i | ||||
\(995\) | −2.22058 | + | 2.82845i | −0.0703972 | + | 0.0896680i | ||||
\(996\) | −0.0995531 | + | 0.0574770i | −0.00315446 | + | 0.00182123i | ||||
\(997\) | −8.36913 | + | 13.3194i | −0.265053 | + | 0.421829i | −0.952561 | − | 0.304347i | \(-0.901562\pi\) |
0.687508 | + | 0.726177i | \(0.258705\pi\) | |||||||
\(998\) | −4.87016 | − | 6.59883i | −0.154162 | − | 0.208882i | ||||
\(999\) | −0.0429702 | + | 0.0463109i | −0.00135952 | + | 0.00146521i |
(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 | 430.2.x.a.3.17 | ✓ | 528 | |
5.2 | odd | 4 | inner | 430.2.x.a.347.6 | yes | 528 | |
43.29 | odd | 42 | inner | 430.2.x.a.373.6 | yes | 528 | |
215.72 | even | 84 | inner | 430.2.x.a.287.17 | yes | 528 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
430.2.x.a.3.17 | ✓ | 528 | 1.1 | even | 1 | trivial | |
430.2.x.a.287.17 | yes | 528 | 215.72 | even | 84 | inner | |
430.2.x.a.347.6 | yes | 528 | 5.2 | odd | 4 | inner | |
430.2.x.a.373.6 | yes | 528 | 43.29 | odd | 42 | inner |