Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(59,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.r (of order \(10\), degree \(4\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 239.27 | ||
Character | \(\chi\) | \(=\) | 300.239 |
Dual form | 300.2.r.a.59.27 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.117625 | + | 1.40931i | −0.0831738 | + | 0.996535i | ||||
\(3\) | 1.44316 | − | 0.957755i | 0.833208 | − | 0.552960i | ||||
\(4\) | −1.97233 | − | 0.331542i | −0.986164 | − | 0.165771i | ||||
\(5\) | 2.16605 | − | 0.555182i | 0.968687 | − | 0.248285i | ||||
\(6\) | 1.18002 | + | 2.14652i | 0.481743 | + | 0.876313i | ||||
\(7\) | −0.146941 | −0.0555385 | −0.0277693 | − | 0.999614i | \(-0.508840\pi\) | ||||
−0.0277693 | + | 0.999614i | \(0.508840\pi\) | |||||||
\(8\) | 0.699243 | − | 2.74063i | 0.247220 | − | 0.968959i | ||||
\(9\) | 1.16541 | − | 2.76438i | 0.388471 | − | 0.921461i | ||||
\(10\) | 0.527643 | + | 3.11795i | 0.166855 | + | 0.985981i | ||||
\(11\) | 0.745075 | − | 0.541329i | 0.224649 | − | 0.163217i | −0.469768 | − | 0.882790i | \(-0.655662\pi\) |
0.694417 | + | 0.719573i | \(0.255662\pi\) | |||||||
\(12\) | −3.16392 | + | 1.41054i | −0.913345 | + | 0.407188i | ||||
\(13\) | 0.637074 | − | 0.876857i | 0.176693 | − | 0.243196i | −0.711480 | − | 0.702706i | \(-0.751975\pi\) |
0.888173 | + | 0.459510i | \(0.151975\pi\) | |||||||
\(14\) | 0.0172840 | − | 0.207086i | 0.00461935 | − | 0.0553461i | ||||
\(15\) | 2.59423 | − | 2.87576i | 0.669826 | − | 0.742518i | ||||
\(16\) | 3.78016 | + | 1.30782i | 0.945040 | + | 0.326955i | ||||
\(17\) | 0.898908 | + | 2.76655i | 0.218017 | + | 0.670988i | 0.998926 | + | 0.0463424i | \(0.0147565\pi\) |
−0.780908 | + | 0.624646i | \(0.785243\pi\) | |||||||
\(18\) | 3.75880 | + | 1.96759i | 0.885958 | + | 0.463766i | ||||
\(19\) | −5.30677 | + | 1.72427i | −1.21746 | + | 0.395575i | −0.846155 | − | 0.532937i | \(-0.821088\pi\) |
−0.371301 | + | 0.928513i | \(0.621088\pi\) | |||||||
\(20\) | −4.45623 | + | 0.376864i | −0.996443 | + | 0.0842694i | ||||
\(21\) | −0.212059 | + | 0.140734i | −0.0462751 | + | 0.0307106i | ||||
\(22\) | 0.675262 | + | 1.11372i | 0.143966 | + | 0.237446i | ||||
\(23\) | 0.697301 | + | 0.959752i | 0.145397 | + | 0.200122i | 0.875504 | − | 0.483211i | \(-0.160530\pi\) |
−0.730107 | + | 0.683333i | \(0.760530\pi\) | |||||||
\(24\) | −1.61573 | − | 4.62487i | −0.329810 | − | 0.944047i | ||||
\(25\) | 4.38355 | − | 2.40510i | 0.876709 | − | 0.481021i | ||||
\(26\) | 1.16083 | + | 1.00098i | 0.227658 | + | 0.196308i | ||||
\(27\) | −0.965727 | − | 5.10562i | −0.185854 | − | 0.982577i | ||||
\(28\) | 0.289816 | + | 0.0487172i | 0.0547701 | + | 0.00920668i | ||||
\(29\) | 8.42084 | + | 2.73610i | 1.56371 | + | 0.508081i | 0.957796 | − | 0.287449i | \(-0.0928070\pi\) |
0.605915 | + | 0.795529i | \(0.292807\pi\) | |||||||
\(30\) | 3.74770 | + | 3.99434i | 0.684233 | + | 0.729263i | ||||
\(31\) | −5.35508 | + | 1.73997i | −0.961801 | + | 0.312508i | −0.747502 | − | 0.664260i | \(-0.768747\pi\) |
−0.214300 | + | 0.976768i | \(0.568747\pi\) | |||||||
\(32\) | −2.28777 | + | 5.17360i | −0.404425 | + | 0.914571i | ||||
\(33\) | 0.556801 | − | 1.49482i | 0.0969266 | − | 0.260215i | ||||
\(34\) | −4.00468 | + | 0.941426i | −0.686796 | + | 0.161453i | ||||
\(35\) | −0.318282 | + | 0.0815791i | −0.0537994 | + | 0.0137894i | ||||
\(36\) | −3.21508 | + | 5.06589i | −0.535847 | + | 0.844315i | ||||
\(37\) | −2.39694 | + | 3.29910i | −0.394054 | + | 0.542369i | −0.959239 | − | 0.282595i | \(-0.908805\pi\) |
0.565185 | + | 0.824964i | \(0.308805\pi\) | |||||||
\(38\) | −1.80583 | − | 7.68171i | −0.292944 | − | 1.24614i | ||||
\(39\) | 0.0795846 | − | 1.87560i | 0.0127437 | − | 0.300337i | ||||
\(40\) | −0.00695365 | − | 6.32455i | −0.00109947 | − | 0.999999i | ||||
\(41\) | −5.60638 | + | 7.71652i | −0.875569 | + | 1.20512i | 0.102059 | + | 0.994778i | \(0.467457\pi\) |
−0.977628 | + | 0.210339i | \(0.932543\pi\) | |||||||
\(42\) | −0.173394 | − | 0.315412i | −0.0267553 | − | 0.0486691i | ||||
\(43\) | −4.69246 | −0.715594 | −0.357797 | − | 0.933799i | \(-0.616472\pi\) | ||||
−0.357797 | + | 0.933799i | \(0.616472\pi\) | |||||||
\(44\) | −1.64901 | + | 0.820654i | −0.248597 | + | 0.123718i | ||||
\(45\) | 0.989605 | − | 6.63481i | 0.147522 | − | 0.989059i | ||||
\(46\) | −1.43461 | + | 0.869824i | −0.211522 | + | 0.128249i | ||||
\(47\) | −7.15582 | − | 2.32507i | −1.04378 | − | 0.339146i | −0.263558 | − | 0.964644i | \(-0.584896\pi\) |
−0.780226 | + | 0.625498i | \(0.784896\pi\) | |||||||
\(48\) | 6.70794 | − | 1.73307i | 0.968208 | − | 0.250148i | ||||
\(49\) | −6.97841 | −0.996915 | ||||||||
\(50\) | 2.87393 | + | 6.46069i | 0.406435 | + | 0.913680i | ||||
\(51\) | 3.94695 | + | 3.13164i | 0.552683 | + | 0.438518i | ||||
\(52\) | −1.54723 | + | 1.51823i | −0.214563 | + | 0.210541i | ||||
\(53\) | 1.73582 | − | 5.34231i | 0.238434 | − | 0.733823i | −0.758214 | − | 0.652006i | \(-0.773928\pi\) |
0.996647 | − | 0.0818172i | \(-0.0260724\pi\) | |||||||
\(54\) | 7.30901 | − | 0.760461i | 0.994631 | − | 0.103486i | ||||
\(55\) | 1.31333 | − | 1.58620i | 0.177090 | − | 0.213883i | ||||
\(56\) | −0.102748 | + | 0.402711i | −0.0137302 | + | 0.0538146i | ||||
\(57\) | −6.00707 | + | 7.57098i | −0.795656 | + | 1.00280i | ||||
\(58\) | −4.84652 | + | 11.5458i | −0.636380 | + | 1.51603i | ||||
\(59\) | 8.62564 | + | 6.26690i | 1.12296 | + | 0.815880i | 0.984656 | − | 0.174509i | \(-0.0558338\pi\) |
0.138307 | + | 0.990389i | \(0.455834\pi\) | |||||||
\(60\) | −6.07010 | + | 4.81185i | −0.783647 | + | 0.621207i | ||||
\(61\) | 3.04517 | − | 2.21244i | 0.389894 | − | 0.283274i | −0.375518 | − | 0.926815i | \(-0.622535\pi\) |
0.765412 | + | 0.643541i | \(0.222535\pi\) | |||||||
\(62\) | −1.82227 | − | 7.75166i | −0.231429 | − | 0.984461i | ||||
\(63\) | −0.171247 | + | 0.406202i | −0.0215751 | + | 0.0511766i | ||||
\(64\) | −7.02212 | − | 3.83273i | −0.877765 | − | 0.479092i | ||||
\(65\) | 0.893119 | − | 2.25301i | 0.110778 | − | 0.279451i | ||||
\(66\) | 2.04118 | + | 0.960537i | 0.251252 | + | 0.118234i | ||||
\(67\) | −2.55608 | − | 7.86680i | −0.312275 | − | 0.961083i | −0.976862 | − | 0.213872i | \(-0.931392\pi\) |
0.664587 | − | 0.747211i | \(-0.268608\pi\) | |||||||
\(68\) | −0.855712 | − | 5.75458i | −0.103770 | − | 0.697845i | ||||
\(69\) | 1.92552 | + | 0.717231i | 0.231806 | + | 0.0863445i | ||||
\(70\) | −0.0775324 | − | 0.458155i | −0.00926690 | − | 0.0547600i | ||||
\(71\) | 1.75400 | − | 5.39826i | 0.208162 | − | 0.640656i | −0.791407 | − | 0.611290i | \(-0.790651\pi\) |
0.999569 | − | 0.0293663i | \(-0.00934892\pi\) | |||||||
\(72\) | −6.76125 | − | 5.12694i | −0.796821 | − | 0.604216i | ||||
\(73\) | −9.19992 | − | 12.6626i | −1.07677 | − | 1.48205i | −0.863028 | − | 0.505156i | \(-0.831435\pi\) |
−0.213742 | − | 0.976890i | \(-0.568565\pi\) | |||||||
\(74\) | −4.36753 | − | 3.76610i | −0.507715 | − | 0.437800i | ||||
\(75\) | 4.02265 | − | 7.66931i | 0.464496 | − | 0.885575i | ||||
\(76\) | 11.0384 | − | 1.64142i | 1.26619 | − | 0.188283i | ||||
\(77\) | −0.109482 | + | 0.0795435i | −0.0124767 | + | 0.00906482i | ||||
\(78\) | 2.63395 | + | 0.332778i | 0.298236 | + | 0.0376797i | ||||
\(79\) | 14.8258 | + | 4.81719i | 1.66803 | + | 0.541976i | 0.982531 | − | 0.186097i | \(-0.0595838\pi\) |
0.685500 | + | 0.728073i | \(0.259584\pi\) | |||||||
\(80\) | 8.91409 | + | 0.734128i | 0.996626 | + | 0.0820780i | ||||
\(81\) | −6.28363 | − | 6.44329i | −0.698181 | − | 0.715921i | ||||
\(82\) | −10.2155 | − | 8.80880i | −1.12812 | − | 0.972770i | ||||
\(83\) | −13.5654 | + | 4.40767i | −1.48900 | + | 0.483805i | −0.936787 | − | 0.349900i | \(-0.886216\pi\) |
−0.552211 | + | 0.833705i | \(0.686216\pi\) | |||||||
\(84\) | 0.464910 | − | 0.207266i | 0.0507258 | − | 0.0226146i | ||||
\(85\) | 3.48302 | + | 5.49344i | 0.377787 | + | 0.595847i | ||||
\(86\) | 0.551953 | − | 6.61315i | 0.0595186 | − | 0.713114i | ||||
\(87\) | 14.7731 | − | 4.11648i | 1.58384 | − | 0.441333i | ||||
\(88\) | −0.962594 | − | 2.42050i | −0.102613 | − | 0.258026i | ||||
\(89\) | 1.57359 | + | 2.16586i | 0.166800 | + | 0.229581i | 0.884232 | − | 0.467048i | \(-0.154682\pi\) |
−0.717432 | + | 0.696629i | \(0.754682\pi\) | |||||||
\(90\) | 9.23412 | + | 2.17509i | 0.973362 | + | 0.229274i | ||||
\(91\) | −0.0936124 | + | 0.128846i | −0.00981324 | + | 0.0135068i | ||||
\(92\) | −1.05711 | − | 2.12413i | −0.110211 | − | 0.221456i | ||||
\(93\) | −6.06177 | + | 7.63991i | −0.628576 | + | 0.792222i | ||||
\(94\) | 4.11846 | − | 9.81131i | 0.424786 | − | 1.01196i | ||||
\(95\) | −10.5374 | + | 6.68108i | −1.08112 | + | 0.685464i | ||||
\(96\) | 1.65342 | + | 9.65744i | 0.168751 | + | 0.985659i | ||||
\(97\) | 5.03546 | + | 1.63612i | 0.511273 | + | 0.166123i | 0.553281 | − | 0.832994i | \(-0.313375\pi\) |
−0.0420079 | + | 0.999117i | \(0.513375\pi\) | |||||||
\(98\) | 0.820838 | − | 9.83476i | 0.0829172 | − | 0.993461i | ||||
\(99\) | −0.628121 | − | 2.69054i | −0.0631285 | − | 0.270410i | ||||
\(100\) | −9.44319 | + | 3.29032i | −0.944319 | + | 0.329032i | ||||
\(101\) | 4.07998i | 0.405973i | 0.979182 | + | 0.202987i | \(0.0650648\pi\) | ||||
−0.979182 | + | 0.202987i | \(0.934935\pi\) | |||||||
\(102\) | −4.87773 | + | 5.19412i | −0.482967 | + | 0.514295i | ||||
\(103\) | 0.378305 | − | 1.16430i | 0.0372755 | − | 0.114722i | −0.930687 | − | 0.365816i | \(-0.880790\pi\) |
0.967963 | + | 0.251093i | \(0.0807901\pi\) | |||||||
\(104\) | −1.95767 | − | 2.35912i | −0.191966 | − | 0.231331i | ||||
\(105\) | −0.381198 | + | 0.422567i | −0.0372012 | + | 0.0412384i | ||||
\(106\) | 7.32482 | + | 3.07471i | 0.711449 | + | 0.298642i | ||||
\(107\) | 11.9386i | 1.15414i | 0.816693 | + | 0.577072i | \(0.195805\pi\) | ||||
−0.816693 | + | 0.577072i | \(0.804195\pi\) | |||||||
\(108\) | 0.212002 | + | 10.3901i | 0.0203999 | + | 0.999792i | ||||
\(109\) | −7.65264 | − | 5.55996i | −0.732990 | − | 0.532548i | 0.157518 | − | 0.987516i | \(-0.449651\pi\) |
−0.890508 | + | 0.454968i | \(0.849651\pi\) | |||||||
\(110\) | 2.08097 | + | 2.03748i | 0.198412 | + | 0.194266i | ||||
\(111\) | −0.299431 | + | 7.05681i | −0.0284207 | + | 0.669803i | ||||
\(112\) | −0.555461 | − | 0.192173i | −0.0524861 | − | 0.0181586i | ||||
\(113\) | −9.66884 | − | 7.02482i | −0.909568 | − | 0.660840i | 0.0313375 | − | 0.999509i | \(-0.490023\pi\) |
−0.940906 | + | 0.338669i | \(0.890023\pi\) | |||||||
\(114\) | −9.96330 | − | 9.35639i | −0.933148 | − | 0.876306i | ||||
\(115\) | 2.04323 | + | 1.69174i | 0.190532 | + | 0.157756i | ||||
\(116\) | −15.7015 | − | 8.18835i | −1.45785 | − | 0.760269i | ||||
\(117\) | −1.68152 | − | 2.78302i | −0.155456 | − | 0.257290i | ||||
\(118\) | −9.84662 | + | 11.4191i | −0.906454 | + | 1.05121i | ||||
\(119\) | −0.132087 | − | 0.406521i | −0.0121084 | − | 0.0372657i | ||||
\(120\) | −6.06740 | − | 9.12067i | −0.553876 | − | 0.832599i | ||||
\(121\) | −3.13709 | + | 9.65496i | −0.285190 | + | 0.877724i | ||||
\(122\) | 2.75984 | + | 4.55183i | 0.249864 | + | 0.412104i | ||||
\(123\) | −0.700361 | + | 16.5057i | −0.0631494 | + | 1.48827i | ||||
\(124\) | 11.1389 | − | 1.65636i | 1.00030 | − | 0.148746i | ||||
\(125\) | 8.15971 | − | 7.64324i | 0.729827 | − | 0.683632i | ||||
\(126\) | −0.552322 | − | 0.289120i | −0.0492048 | − | 0.0257569i | ||||
\(127\) | 8.70175 | − | 6.32219i | 0.772155 | − | 0.561004i | −0.130459 | − | 0.991454i | \(-0.541645\pi\) |
0.902614 | + | 0.430450i | \(0.141645\pi\) | |||||||
\(128\) | 6.22750 | − | 9.44554i | 0.550439 | − | 0.834876i | ||||
\(129\) | −6.77196 | + | 4.49423i | −0.596238 | + | 0.395695i | ||||
\(130\) | 3.07014 | + | 1.52370i | 0.269269 | + | 0.133637i | ||||
\(131\) | 2.17567 | + | 6.69603i | 0.190089 | + | 0.585035i | 0.999999 | − | 0.00151987i | \(-0.000483791\pi\) |
−0.809909 | + | 0.586555i | \(0.800484\pi\) | |||||||
\(132\) | −1.59379 | + | 2.76368i | −0.138722 | + | 0.240547i | ||||
\(133\) | 0.779782 | − | 0.253367i | 0.0676157 | − | 0.0219697i | ||||
\(134\) | 11.3874 | − | 2.67698i | 0.983726 | − | 0.231256i | ||||
\(135\) | −4.92636 | − | 10.5229i | −0.423994 | − | 0.905665i | ||||
\(136\) | 8.21066 | − | 0.529082i | 0.704058 | − | 0.0453684i | ||||
\(137\) | 2.36035 | + | 1.71490i | 0.201658 | + | 0.146513i | 0.684032 | − | 0.729452i | \(-0.260225\pi\) |
−0.482373 | + | 0.875966i | \(0.660225\pi\) | |||||||
\(138\) | −1.23729 | + | 2.62930i | −0.105325 | + | 0.223821i | ||||
\(139\) | 10.8515 | + | 14.9358i | 0.920411 | + | 1.26684i | 0.963484 | + | 0.267765i | \(0.0862852\pi\) |
−0.0430731 | + | 0.999072i | \(0.513715\pi\) | |||||||
\(140\) | 0.654803 | − | 0.0553768i | 0.0553410 | − | 0.00468020i | ||||
\(141\) | −12.5538 | + | 3.49808i | −1.05722 | + | 0.294592i | ||||
\(142\) | 7.40153 | + | 3.10691i | 0.621122 | + | 0.260726i | ||||
\(143\) | − | 0.998191i | − | 0.0834729i | ||||||
\(144\) | 8.02076 | − | 8.92566i | 0.668397 | − | 0.743805i | ||||
\(145\) | 19.7590 | + | 1.25143i | 1.64090 | + | 0.103925i | ||||
\(146\) | 18.9277 | − | 11.4761i | 1.56647 | − | 0.949771i | ||||
\(147\) | −10.0709 | + | 6.68360i | −0.830638 | + | 0.551254i | ||||
\(148\) | 5.82134 | − | 5.71223i | 0.478512 | − | 0.469542i | ||||
\(149\) | − | 0.291492i | − | 0.0238800i | −0.999929 | − | 0.0119400i | \(-0.996199\pi\) | ||
0.999929 | − | 0.0119400i | \(-0.00380070\pi\) | |||||||
\(150\) | 10.3353 | + | 6.57128i | 0.843873 | + | 0.536543i | ||||
\(151\) | 7.97245i | 0.648789i | 0.945922 | + | 0.324394i | \(0.105160\pi\) | ||||
−0.945922 | + | 0.324394i | \(0.894840\pi\) | |||||||
\(152\) | 1.01488 | + | 15.7496i | 0.0823174 | + | 1.27746i | ||||
\(153\) | 8.69541 | + | 0.739249i | 0.702983 | + | 0.0597647i | ||||
\(154\) | −0.0992238 | − | 0.163651i | −0.00799568 | − | 0.0131874i | ||||
\(155\) | −10.6334 | + | 6.74191i | −0.854093 | + | 0.541523i | ||||
\(156\) | −0.778809 | + | 3.67292i | −0.0623546 | + | 0.294069i | ||||
\(157\) | 15.7367i | 1.25593i | 0.778243 | + | 0.627963i | \(0.216111\pi\) | ||||
−0.778243 | + | 0.627963i | \(0.783889\pi\) | |||||||
\(158\) | −8.53282 | + | 20.3276i | −0.678835 | + | 1.61717i | ||||
\(159\) | −2.61156 | − | 9.37230i | −0.207110 | − | 0.743272i | ||||
\(160\) | −2.08314 | + | 12.4764i | −0.164687 | + | 0.986346i | ||||
\(161\) | −0.102462 | − | 0.141027i | −0.00807515 | − | 0.0111145i | ||||
\(162\) | 9.81973 | − | 8.09771i | 0.771511 | − | 0.636216i | ||||
\(163\) | −10.4684 | − | 7.60573i | −0.819947 | − | 0.595726i | 0.0967503 | − | 0.995309i | \(-0.469155\pi\) |
−0.916697 | + | 0.399582i | \(0.869155\pi\) | |||||||
\(164\) | 13.6160 | − | 13.3608i | 1.06323 | − | 1.04330i | ||||
\(165\) | 0.376161 | − | 3.54699i | 0.0292841 | − | 0.276132i | ||||
\(166\) | −4.61615 | − | 19.6364i | −0.358283 | − | 1.52408i | ||||
\(167\) | 15.5039 | − | 5.03753i | 1.19973 | − | 0.389816i | 0.360068 | − | 0.932926i | \(-0.382753\pi\) |
0.839662 | + | 0.543110i | \(0.182753\pi\) | |||||||
\(168\) | 0.237418 | + | 0.679583i | 0.0183172 | + | 0.0524310i | ||||
\(169\) | 3.65421 | + | 11.2465i | 0.281093 | + | 0.865115i | ||||
\(170\) | −8.15167 | + | 4.26250i | −0.625204 | + | 0.326919i | ||||
\(171\) | −1.41802 | + | 16.6794i | −0.108438 | + | 1.27551i | ||||
\(172\) | 9.25508 | + | 1.55575i | 0.705693 | + | 0.118625i | ||||
\(173\) | −5.38601 | + | 3.91317i | −0.409491 | + | 0.297512i | −0.773396 | − | 0.633924i | \(-0.781443\pi\) |
0.363905 | + | 0.931436i | \(0.381443\pi\) | |||||||
\(174\) | 4.06372 | + | 21.3042i | 0.308069 | + | 1.61506i | ||||
\(175\) | −0.644123 | + | 0.353409i | −0.0486911 | + | 0.0267152i | ||||
\(176\) | 3.52446 | − | 1.07188i | 0.265666 | − | 0.0807963i | ||||
\(177\) | 18.4503 | + | 0.782874i | 1.38681 | + | 0.0588444i | ||||
\(178\) | −3.23747 | + | 1.96292i | −0.242659 | + | 0.147127i | ||||
\(179\) | 3.59156 | − | 11.0537i | 0.268446 | − | 0.826192i | −0.722434 | − | 0.691440i | \(-0.756976\pi\) |
0.990879 | − | 0.134751i | \(-0.0430235\pi\) | |||||||
\(180\) | −4.15155 | + | 12.7579i | −0.309438 | + | 0.950920i | ||||
\(181\) | 2.54354 | + | 7.82821i | 0.189060 | + | 0.581866i | 0.999995 | − | 0.00327021i | \(-0.00104094\pi\) |
−0.810935 | + | 0.585136i | \(0.801041\pi\) | |||||||
\(182\) | −0.170574 | − | 0.147085i | −0.0126438 | − | 0.0109026i | ||||
\(183\) | 2.27568 | − | 6.10943i | 0.168223 | − | 0.451622i | ||||
\(184\) | 3.11791 | − | 1.23994i | 0.229855 | − | 0.0914099i | ||||
\(185\) | −3.36029 | + | 8.47676i | −0.247053 | + | 0.623224i | ||||
\(186\) | −10.0540 | − | 9.44158i | −0.737196 | − | 0.692290i | ||||
\(187\) | 2.16737 | + | 1.57469i | 0.158494 | + | 0.115152i | ||||
\(188\) | 13.3428 | + | 6.95825i | 0.973122 | + | 0.507483i | ||||
\(189\) | 0.141905 | + | 0.750226i | 0.0103221 | + | 0.0545709i | ||||
\(190\) | −8.17627 | − | 15.6364i | −0.593169 | − | 1.13438i | ||||
\(191\) | 1.14157 | + | 0.829402i | 0.0826014 | + | 0.0600134i | 0.628320 | − | 0.777955i | \(-0.283743\pi\) |
−0.545718 | + | 0.837969i | \(0.683743\pi\) | |||||||
\(192\) | −13.8048 | + | 1.19423i | −0.996279 | + | 0.0861858i | ||||
\(193\) | − | 7.01448i | − | 0.504914i | −0.967608 | − | 0.252457i | \(-0.918761\pi\) | ||
0.967608 | − | 0.252457i | \(-0.0812385\pi\) | |||||||
\(194\) | −2.89810 | + | 6.90409i | −0.208072 | + | 0.495685i | ||||
\(195\) | −0.868917 | − | 4.10684i | −0.0622245 | − | 0.294097i | ||||
\(196\) | 13.7637 | + | 2.31364i | 0.983122 | + | 0.165260i | ||||
\(197\) | 6.28495 | − | 19.3431i | 0.447784 | − | 1.37814i | −0.431617 | − | 0.902057i | \(-0.642057\pi\) |
0.879401 | − | 0.476082i | \(-0.157943\pi\) | |||||||
\(198\) | 3.86570 | − | 0.568743i | 0.274724 | − | 0.0404188i | ||||
\(199\) | − | 0.0501295i | − | 0.00355358i | −0.999998 | − | 0.00177679i | \(-0.999434\pi\) | ||
0.999998 | − | 0.00177679i | \(-0.000565571\pi\) | |||||||
\(200\) | −3.52634 | − | 13.6954i | −0.249350 | − | 0.968413i | ||||
\(201\) | −11.2233 | − | 8.90494i | −0.791630 | − | 0.628106i | ||||
\(202\) | −5.74997 | − | 0.479909i | −0.404566 | − | 0.0337663i | ||||
\(203\) | −1.23737 | − | 0.402045i | −0.0868462 | − | 0.0282180i | ||||
\(204\) | −6.74640 | − | 7.48521i | −0.472343 | − | 0.524069i | ||||
\(205\) | −7.85963 | + | 19.8269i | −0.548940 | + | 1.38477i | ||||
\(206\) | 1.59637 | + | 0.670102i | 0.111224 | + | 0.0466883i | ||||
\(207\) | 3.46577 | − | 0.809100i | 0.240887 | − | 0.0562363i | ||||
\(208\) | 3.55501 | − | 2.48148i | 0.246496 | − | 0.172060i | ||||
\(209\) | −3.02054 | + | 4.15742i | −0.208935 | + | 0.287575i | ||||
\(210\) | −0.550691 | − | 0.586933i | −0.0380013 | − | 0.0405022i | ||||
\(211\) | −8.60830 | − | 11.8483i | −0.592620 | − | 0.815671i | 0.402388 | − | 0.915469i | \(-0.368180\pi\) |
−0.995008 | + | 0.0997982i | \(0.968180\pi\) | |||||||
\(212\) | −5.19482 | + | 9.96130i | −0.356781 | + | 0.684145i | ||||
\(213\) | −2.63891 | − | 9.47045i | −0.180815 | − | 0.648905i | ||||
\(214\) | −16.8252 | − | 1.40428i | −1.15014 | − | 0.0959945i | ||||
\(215\) | −10.1641 | + | 2.60517i | −0.693186 | + | 0.177671i | ||||
\(216\) | −14.6679 | − | 0.923368i | −0.998024 | − | 0.0628272i | ||||
\(217\) | 0.786882 | − | 0.255673i | 0.0534170 | − | 0.0173562i | ||||
\(218\) | 8.73588 | − | 10.1310i | 0.591668 | − | 0.686156i | ||||
\(219\) | −25.4046 | − | 9.46288i | −1.71669 | − | 0.639442i | ||||
\(220\) | −3.11622 | + | 2.69308i | −0.210095 | + | 0.181567i | ||||
\(221\) | 2.99854 | + | 0.974286i | 0.201704 | + | 0.0655376i | ||||
\(222\) | −9.91003 | − | 1.25205i | −0.665118 | − | 0.0840322i | ||||
\(223\) | 23.7828 | − | 17.2792i | 1.59261 | − | 1.15710i | 0.692525 | − | 0.721394i | \(-0.256498\pi\) |
0.900089 | − | 0.435707i | \(-0.143502\pi\) | |||||||
\(224\) | 0.336168 | − | 0.760214i | 0.0224612 | − | 0.0507939i | ||||
\(225\) | −1.53999 | − | 14.9207i | −0.102666 | − | 0.994716i | ||||
\(226\) | 11.0375 | − | 12.8001i | 0.734202 | − | 0.851452i | ||||
\(227\) | 5.64810 | + | 7.77395i | 0.374878 | + | 0.515975i | 0.954218 | − | 0.299111i | \(-0.0966899\pi\) |
−0.579341 | + | 0.815085i | \(0.696690\pi\) | |||||||
\(228\) | 14.3580 | − | 12.9409i | 0.950883 | − | 0.857029i | ||||
\(229\) | 2.57814 | − | 7.93469i | 0.170368 | − | 0.524339i | −0.829024 | − | 0.559214i | \(-0.811103\pi\) |
0.999392 | + | 0.0348746i | \(0.0111032\pi\) | |||||||
\(230\) | −2.62453 | + | 2.68055i | −0.173056 | + | 0.176750i | ||||
\(231\) | −0.0818170 | + | 0.219651i | −0.00538316 | + | 0.0144520i | ||||
\(232\) | 13.3869 | − | 21.1652i | 0.878890 | − | 1.38957i | ||||
\(233\) | 4.87606 | + | 15.0070i | 0.319442 | + | 0.983140i | 0.973887 | + | 0.227031i | \(0.0729020\pi\) |
−0.654446 | + | 0.756109i | \(0.727098\pi\) | |||||||
\(234\) | 4.11993 | − | 2.04243i | 0.269328 | − | 0.133518i | ||||
\(235\) | −16.7907 | − | 1.06343i | −1.09530 | − | 0.0693705i | ||||
\(236\) | −14.9349 | − | 15.2201i | −0.972177 | − | 0.990747i | ||||
\(237\) | 26.0096 | − | 7.24750i | 1.68951 | − | 0.470776i | ||||
\(238\) | 0.588452 | − | 0.138334i | 0.0381437 | − | 0.00896687i | ||||
\(239\) | 14.6621 | − | 10.6526i | 0.948412 | − | 0.689062i | −0.00201847 | − | 0.999998i | \(-0.500643\pi\) |
0.950431 | + | 0.310936i | \(0.100643\pi\) | |||||||
\(240\) | 13.5676 | − | 7.47805i | 0.875782 | − | 0.482706i | ||||
\(241\) | −22.7927 | − | 16.5599i | −1.46821 | − | 1.06671i | −0.981129 | − | 0.193356i | \(-0.938063\pi\) |
−0.487078 | − | 0.873359i | \(-0.661937\pi\) | |||||||
\(242\) | −13.2379 | − | 5.55681i | −0.850962 | − | 0.357205i | ||||
\(243\) | −15.2394 | − | 3.28051i | −0.977606 | − | 0.210445i | ||||
\(244\) | −6.73959 | + | 3.35406i | −0.431458 | + | 0.214722i | ||||
\(245\) | −15.1156 | + | 3.87429i | −0.965699 | + | 0.247519i | ||||
\(246\) | −23.1793 | − | 2.92852i | −1.47786 | − | 0.186715i | ||||
\(247\) | −1.86886 | + | 5.75176i | −0.118913 | + | 0.365976i | ||||
\(248\) | 1.02412 | + | 15.8930i | 0.0650315 | + | 1.00920i | ||||
\(249\) | −15.3556 | + | 19.3533i | −0.973120 | + | 1.22647i | ||||
\(250\) | 9.81193 | + | 12.3986i | 0.620561 | + | 0.784158i | ||||
\(251\) | −0.635553 | −0.0401157 | −0.0200579 | − | 0.999799i | \(-0.506385\pi\) | ||||
−0.0200579 | + | 0.999799i | \(0.506385\pi\) | |||||||
\(252\) | 0.472428 | − | 0.744387i | 0.0297602 | − | 0.0468920i | ||||
\(253\) | 1.03908 | + | 0.337619i | 0.0653266 | + | 0.0212259i | ||||
\(254\) | 7.88640 | + | 13.0071i | 0.494837 | + | 0.816141i | ||||
\(255\) | 10.2879 | + | 4.59202i | 0.644254 | + | 0.287563i | ||||
\(256\) | 12.5792 | + | 9.88754i | 0.786201 | + | 0.617971i | ||||
\(257\) | −5.02373 | −0.313371 | −0.156686 | − | 0.987649i | \(-0.550081\pi\) | ||||
−0.156686 | + | 0.987649i | \(0.550081\pi\) | |||||||
\(258\) | −5.53722 | − | 10.0725i | −0.344732 | − | 0.627084i | ||||
\(259\) | 0.352209 | − | 0.484774i | 0.0218852 | − | 0.0301224i | ||||
\(260\) | −2.50849 | + | 4.14757i | −0.155570 | + | 0.257221i | ||||
\(261\) | 17.3774 | − | 20.0898i | 1.07563 | − | 1.24352i | ||||
\(262\) | −9.69272 | + | 2.27858i | −0.598818 | + | 0.140771i | ||||
\(263\) | 5.88016 | − | 8.09334i | 0.362586 | − | 0.499057i | −0.588281 | − | 0.808657i | \(-0.700195\pi\) |
0.950867 | + | 0.309600i | \(0.100195\pi\) | |||||||
\(264\) | −3.70742 | − | 2.57123i | −0.228176 | − | 0.158248i | ||||
\(265\) | 0.793924 | − | 12.5354i | 0.0487703 | − | 0.770045i | ||||
\(266\) | 0.265351 | + | 1.12876i | 0.0162697 | + | 0.0692087i | ||||
\(267\) | 4.34530 | + | 1.61857i | 0.265928 | + | 0.0990547i | ||||
\(268\) | 2.43325 | + | 16.3634i | 0.148634 | + | 0.999552i | ||||
\(269\) | −20.5645 | + | 6.68181i | −1.25384 | + | 0.407397i | −0.859296 | − | 0.511479i | \(-0.829098\pi\) |
−0.394545 | + | 0.918877i | \(0.629098\pi\) | |||||||
\(270\) | 15.4095 | − | 5.70503i | 0.937792 | − | 0.347197i | ||||
\(271\) | −8.68144 | − | 2.82077i | −0.527360 | − | 0.171350i | 0.0332231 | − | 0.999448i | \(-0.489423\pi\) |
−0.560583 | + | 0.828098i | \(0.689423\pi\) | |||||||
\(272\) | −0.220141 | + | 11.6336i | −0.0133480 | + | 0.705392i | ||||
\(273\) | −0.0116943 | + | 0.275603i | −0.000707768 | + | 0.0166803i | ||||
\(274\) | −2.69446 | + | 3.12476i | −0.162778 | + | 0.188774i | ||||
\(275\) | 1.96412 | − | 4.16492i | 0.118441 | − | 0.251154i | ||||
\(276\) | −3.55997 | − | 2.05301i | −0.214285 | − | 0.123577i | ||||
\(277\) | −15.4585 | − | 21.2768i | −0.928812 | − | 1.27840i | −0.960321 | − | 0.278897i | \(-0.910031\pi\) |
0.0315092 | − | 0.999503i | \(-0.489969\pi\) | |||||||
\(278\) | −22.3256 | + | 13.5363i | −1.33900 | + | 0.811854i | ||||
\(279\) | −1.43093 | + | 16.8313i | −0.0856674 | + | 1.00766i | ||||
\(280\) | 0.00102178 | + | 0.929337i | 6.10628e−5 | + | 0.0555385i | ||||
\(281\) | 20.4876 | − | 6.65683i | 1.22219 | − | 0.397113i | 0.374310 | − | 0.927303i | \(-0.377879\pi\) |
0.847879 | + | 0.530190i | \(0.177879\pi\) | |||||||
\(282\) | −3.45324 | − | 18.1037i | −0.205638 | − | 1.07806i | ||||
\(283\) | 5.09831 | + | 15.6910i | 0.303063 | + | 0.932732i | 0.980393 | + | 0.197053i | \(0.0631369\pi\) |
−0.677330 | + | 0.735679i | \(0.736863\pi\) | |||||||
\(284\) | −5.24922 | + | 10.0656i | −0.311484 | + | 0.597285i | ||||
\(285\) | −8.80835 | + | 19.7341i | −0.521762 | + | 1.16895i | ||||
\(286\) | 1.40676 | + | 0.117413i | 0.0831837 | + | 0.00694276i | ||||
\(287\) | 0.823808 | − | 1.13387i | 0.0486278 | − | 0.0669305i | ||||
\(288\) | 11.6356 | + | 12.3536i | 0.685635 | + | 0.727946i | ||||
\(289\) | 6.90750 | − | 5.01859i | 0.406324 | − | 0.295211i | ||||
\(290\) | −4.08781 | + | 27.6994i | −0.240045 | + | 1.62657i | ||||
\(291\) | 8.83397 | − | 2.46155i | 0.517856 | − | 0.144299i | ||||
\(292\) | 13.9471 | + | 28.0250i | 0.816191 | + | 1.64004i | ||||
\(293\) | 7.00240 | 0.409085 | 0.204542 | − | 0.978858i | \(-0.434429\pi\) | ||||
0.204542 | + | 0.978858i | \(0.434429\pi\) | |||||||
\(294\) | −8.23469 | − | 14.9793i | −0.480257 | − | 0.873610i | ||||
\(295\) | 22.1628 | + | 8.78561i | 1.29037 | + | 0.511518i | ||||
\(296\) | 7.36558 | + | 8.87600i | 0.428116 | + | 0.515907i | ||||
\(297\) | −3.48336 | − | 3.28130i | −0.202125 | − | 0.190400i | ||||
\(298\) | 0.410804 | + | 0.0342869i | 0.0237972 | + | 0.00198619i | ||||
\(299\) | 1.28580 | 0.0743596 | ||||||||
\(300\) | −10.4767 | + | 13.7927i | −0.604872 | + | 0.796323i | ||||
\(301\) | 0.689516 | 0.0397430 | ||||||||
\(302\) | −11.2357 | − | 0.937763i | −0.646541 | − | 0.0539622i | ||||
\(303\) | 3.90762 | + | 5.88806i | 0.224487 | + | 0.338260i | ||||
\(304\) | −22.3155 | − | 0.422271i | −1.27988 | − | 0.0242189i | ||||
\(305\) | 5.36768 | − | 6.48288i | 0.307352 | − | 0.371209i | ||||
\(306\) | −2.06464 | + | 12.1676i | −0.118027 | + | 0.695576i | ||||
\(307\) | 6.62875 | 0.378323 | 0.189161 | − | 0.981946i | \(-0.439423\pi\) | ||||
0.189161 | + | 0.981946i | \(0.439423\pi\) | |||||||
\(308\) | 0.242307 | − | 0.120588i | 0.0138067 | − | 0.00687113i | ||||
\(309\) | −0.569163 | − | 2.04260i | −0.0323786 | − | 0.116199i | ||||
\(310\) | −8.25071 | − | 15.7788i | −0.468609 | − | 0.896175i | ||||
\(311\) | 19.4742 | − | 14.1488i | 1.10428 | − | 0.802306i | 0.122526 | − | 0.992465i | \(-0.460901\pi\) |
0.981753 | + | 0.190160i | \(0.0609006\pi\) | |||||||
\(312\) | −5.08469 | − | 1.52962i | −0.287864 | − | 0.0865974i | ||||
\(313\) | 16.2239 | − | 22.3303i | 0.917030 | − | 1.26218i | −0.0476783 | − | 0.998863i | \(-0.515182\pi\) |
0.964708 | − | 0.263321i | \(-0.0848178\pi\) | |||||||
\(314\) | −22.1780 | − | 1.85104i | −1.25157 | − | 0.104460i | ||||
\(315\) | −0.145414 | + | 0.974926i | −0.00819313 | + | 0.0549309i | ||||
\(316\) | −27.6442 | − | 14.4165i | −1.55511 | − | 0.810989i | ||||
\(317\) | 6.14567 | + | 18.9144i | 0.345175 | + | 1.06234i | 0.961490 | + | 0.274840i | \(0.0886249\pi\) |
−0.616315 | + | 0.787500i | \(0.711375\pi\) | |||||||
\(318\) | 13.5157 | − | 2.57808i | 0.757922 | − | 0.144572i | ||||
\(319\) | 7.75529 | − | 2.51985i | 0.434213 | − | 0.141084i | ||||
\(320\) | −17.3381 | − | 4.40334i | −0.969231 | − | 0.246154i | ||||
\(321\) | 11.4342 | + | 17.2292i | 0.638195 | + | 0.961642i | ||||
\(322\) | 0.210803 | − | 0.127813i | 0.0117476 | − | 0.00712274i | ||||
\(323\) | −9.54059 | − | 13.1315i | −0.530852 | − | 0.730656i | ||||
\(324\) | 10.2572 | + | 14.7916i | 0.569842 | + | 0.821754i | ||||
\(325\) | 0.683711 | − | 5.37597i | 0.0379255 | − | 0.298205i | ||||
\(326\) | 11.9502 | − | 13.8586i | 0.661860 | − | 0.767557i | ||||
\(327\) | −16.3690 | − | 0.694562i | −0.905210 | − | 0.0384094i | ||||
\(328\) | 17.2279 | + | 20.7607i | 0.951252 | + | 1.14632i | ||||
\(329\) | 1.05148 | + | 0.341648i | 0.0579702 | + | 0.0188357i | ||||
\(330\) | 4.95457 | + | 0.947345i | 0.272740 | + | 0.0521496i | ||||
\(331\) | −13.8344 | + | 4.49507i | −0.760408 | + | 0.247072i | −0.663454 | − | 0.748217i | \(-0.730910\pi\) |
−0.0969543 | + | 0.995289i | \(0.530910\pi\) | |||||||
\(332\) | 28.2168 | − | 4.19587i | 1.54860 | − | 0.230278i | ||||
\(333\) | 6.32657 | + | 10.4709i | 0.346694 | + | 0.573800i | ||||
\(334\) | 5.27580 | + | 22.4424i | 0.288679 | + | 1.22800i | ||||
\(335\) | −9.90410 | − | 15.6208i | −0.541119 | − | 0.853455i | ||||
\(336\) | −0.985672 | + | 0.254660i | −0.0537728 | + | 0.0138928i | ||||
\(337\) | −1.28077 | + | 1.76282i | −0.0697678 | + | 0.0960271i | −0.842475 | − | 0.538736i | \(-0.818902\pi\) |
0.772707 | + | 0.634763i | \(0.218902\pi\) | |||||||
\(338\) | −16.2797 | + | 3.82705i | −0.885497 | + | 0.208164i | ||||
\(339\) | −20.6817 | − | 0.877556i | −1.12328 | − | 0.0476623i | ||||
\(340\) | −5.04835 | − | 11.9896i | −0.273785 | − | 0.650229i | ||||
\(341\) | −3.04804 | + | 4.19527i | −0.165061 | + | 0.227187i | ||||
\(342\) | −23.3397 | − | 3.96035i | −1.26207 | − | 0.214151i | ||||
\(343\) | 2.05400 | 0.110906 | ||||||||
\(344\) | −3.28117 | + | 12.8603i | −0.176909 | + | 0.693381i | ||||
\(345\) | 4.56897 | + | 0.484544i | 0.245985 | + | 0.0260869i | ||||
\(346\) | −4.88135 | − | 8.05086i | −0.262423 | − | 0.432817i | ||||
\(347\) | −13.4076 | − | 4.35640i | −0.719758 | − | 0.233864i | −0.0738400 | − | 0.997270i | \(-0.523525\pi\) |
−0.645918 | + | 0.763406i | \(0.723525\pi\) | |||||||
\(348\) | −30.5022 | + | 3.22114i | −1.63509 | + | 0.172671i | ||||
\(349\) | 16.3242 | 0.873812 | 0.436906 | − | 0.899507i | \(-0.356074\pi\) | ||||
0.436906 | + | 0.899507i | \(0.356074\pi\) | |||||||
\(350\) | −0.422298 | − | 0.949341i | −0.0225728 | − | 0.0507444i | ||||
\(351\) | −5.09214 | − | 2.40585i | −0.271798 | − | 0.128415i | ||||
\(352\) | 1.09605 | + | 5.09315i | 0.0584199 | + | 0.271466i | ||||
\(353\) | 1.83552 | − | 5.64916i | 0.0976950 | − | 0.300674i | −0.890252 | − | 0.455469i | \(-0.849472\pi\) |
0.987947 | + | 0.154795i | \(0.0494716\pi\) | |||||||
\(354\) | −3.27354 | + | 25.9102i | −0.173987 | + | 1.37711i | ||||
\(355\) | 0.802238 | − | 12.6667i | 0.0425784 | − | 0.672278i | ||||
\(356\) | −2.38556 | − | 4.79350i | −0.126435 | − | 0.254055i | ||||
\(357\) | −0.579969 | − | 0.460167i | −0.0306952 | − | 0.0243546i | ||||
\(358\) | 15.1557 | + | 6.36183i | 0.801001 | + | 0.336233i | ||||
\(359\) | 1.27036 | + | 0.922972i | 0.0670471 | + | 0.0487126i | 0.620804 | − | 0.783966i | \(-0.286806\pi\) |
−0.553757 | + | 0.832678i | \(0.686806\pi\) | |||||||
\(360\) | −17.4916 | − | 7.35149i | −0.921888 | − | 0.387457i | ||||
\(361\) | 9.81732 | − | 7.13270i | 0.516701 | − | 0.375405i | ||||
\(362\) | −11.3316 | + | 2.66385i | −0.595575 | + | 0.140009i | ||||
\(363\) | 4.71977 | + | 16.9382i | 0.247724 | + | 0.889025i | ||||
\(364\) | 0.227352 | − | 0.223091i | 0.0119165 | − | 0.0116931i | ||||
\(365\) | −26.9576 | − | 22.3202i | −1.41102 | − | 1.16829i | ||||
\(366\) | 8.34242 | + | 3.92577i | 0.436065 | + | 0.205203i | ||||
\(367\) | −9.78587 | − | 30.1178i | −0.510818 | − | 1.57214i | −0.790764 | − | 0.612121i | \(-0.790316\pi\) |
0.279945 | − | 0.960016i | \(-0.409684\pi\) | |||||||
\(368\) | 1.38072 | + | 4.53996i | 0.0719752 | + | 0.236662i | ||||
\(369\) | 14.7977 | + | 24.4911i | 0.770336 | + | 1.27496i | ||||
\(370\) | −11.5512 | − | 5.73278i | −0.600516 | − | 0.298033i | ||||
\(371\) | −0.255064 | + | 0.785006i | −0.0132423 | + | 0.0407555i | ||||
\(372\) | 14.4887 | − | 13.0587i | 0.751207 | − | 0.677061i | ||||
\(373\) | 3.44247 | + | 4.73815i | 0.178244 | + | 0.245332i | 0.888785 | − | 0.458323i | \(-0.151550\pi\) |
−0.710541 | + | 0.703655i | \(0.751550\pi\) | |||||||
\(374\) | −2.47416 | + | 2.86928i | −0.127936 | + | 0.148367i | ||||
\(375\) | 4.45540 | − | 18.8454i | 0.230076 | − | 0.973173i | ||||
\(376\) | −11.3758 | + | 17.9857i | −0.586663 | + | 0.927541i | ||||
\(377\) | 7.76387 | − | 5.64078i | 0.399860 | − | 0.290515i | ||||
\(378\) | −1.07399 | + | 0.111743i | −0.0552403 | + | 0.00574744i | ||||
\(379\) | −26.0098 | − | 8.45110i | −1.33603 | − | 0.434104i | −0.448062 | − | 0.894002i | \(-0.647886\pi\) |
−0.887971 | + | 0.459899i | \(0.847886\pi\) | |||||||
\(380\) | 22.9983 | − | 9.68368i | 1.17979 | − | 0.496762i | ||||
\(381\) | 6.50289 | − | 17.4581i | 0.333153 | − | 0.894404i | ||||
\(382\) | −1.30316 | + | 1.51128i | −0.0666757 | + | 0.0773236i | ||||
\(383\) | −1.23035 | + | 0.399764i | −0.0628677 | + | 0.0204270i | −0.340282 | − | 0.940323i | \(-0.610523\pi\) |
0.277414 | + | 0.960750i | \(0.410523\pi\) | |||||||
\(384\) | −0.0592360 | − | 19.5958i | −0.00302287 | − | 0.999995i | ||||
\(385\) | −0.192983 | + | 0.233078i | −0.00983531 | + | 0.0118787i | ||||
\(386\) | 9.88560 | + | 0.825082i | 0.503164 | + | 0.0419956i | ||||
\(387\) | −5.46865 | + | 12.9718i | −0.277987 | + | 0.659392i | ||||
\(388\) | −9.38914 | − | 4.89643i | −0.476661 | − | 0.248579i | ||||
\(389\) | 6.07345 | + | 8.35939i | 0.307936 | + | 0.423838i | 0.934736 | − | 0.355342i | \(-0.115636\pi\) |
−0.626800 | + | 0.779180i | \(0.715636\pi\) | |||||||
\(390\) | 5.89003 | − | 0.741508i | 0.298253 | − | 0.0375477i | ||||
\(391\) | −2.02840 | + | 2.79185i | −0.102580 | + | 0.141190i | ||||
\(392\) | −4.87960 | + | 19.1252i | −0.246457 | + | 0.965971i | ||||
\(393\) | 9.55300 | + | 7.57967i | 0.481885 | + | 0.382344i | ||||
\(394\) | 26.5212 | + | 11.1327i | 1.33612 | + | 0.560858i | ||||
\(395\) | 34.7878 | + | 2.20327i | 1.75036 | + | 0.110858i | ||||
\(396\) | 0.346831 | + | 5.51489i | 0.0174289 | + | 0.277133i | ||||
\(397\) | −17.9507 | − | 5.83254i | −0.900920 | − | 0.292727i | −0.178304 | − | 0.983976i | \(-0.557061\pi\) |
−0.722617 | + | 0.691249i | \(0.757061\pi\) | |||||||
\(398\) | 0.0706481 | + | 0.00589650i | 0.00354127 | + | 0.000295565i | ||||
\(399\) | 0.882686 | − | 1.11249i | 0.0441896 | − | 0.0556941i | ||||
\(400\) | 19.7159 | − | 3.35878i | 0.985797 | − | 0.167939i | ||||
\(401\) | − | 32.4818i | − | 1.62207i | −0.585001 | − | 0.811033i | \(-0.698906\pi\) | ||
0.585001 | − | 0.811033i | \(-0.301094\pi\) | |||||||
\(402\) | 13.8700 | − | 14.7697i | 0.691773 | − | 0.736645i | ||||
\(403\) | −1.88588 | + | 5.80413i | −0.0939422 | + | 0.289124i | ||||
\(404\) | 1.35269 | − | 8.04706i | 0.0672986 | − | 0.400356i | ||||
\(405\) | −17.1879 | − | 10.4679i | −0.854071 | − | 0.520156i | ||||
\(406\) | 0.712154 | − | 1.69655i | 0.0353436 | − | 0.0841983i | ||||
\(407\) | 3.75561i | 0.186159i | ||||||||
\(408\) | 11.3426 | − | 8.62735i | 0.561540 | − | 0.427117i | ||||
\(409\) | 7.06641 | + | 5.13405i | 0.349412 | + | 0.253862i | 0.748622 | − | 0.662997i | \(-0.230716\pi\) |
−0.399211 | + | 0.916859i | \(0.630716\pi\) | |||||||
\(410\) | −27.0179 | − | 13.4088i | −1.33432 | − | 0.662215i | ||||
\(411\) | 5.04881 | + | 0.214228i | 0.249039 | + | 0.0105671i | ||||
\(412\) | −1.13216 | + | 2.17097i | −0.0557774 | + | 0.106956i | ||||
\(413\) | −1.26746 | − | 0.920865i | −0.0623677 | − | 0.0453128i | ||||
\(414\) | 0.732613 | + | 4.97952i | 0.0360060 | + | 0.244730i | ||||
\(415\) | −26.9363 | + | 17.0785i | −1.32225 | + | 0.838351i | ||||
\(416\) | 3.07903 | + | 5.30201i | 0.150962 | + | 0.259953i | ||||
\(417\) | 29.9652 | + | 11.1616i | 1.46740 | + | 0.546588i | ||||
\(418\) | −5.50381 | − | 4.74591i | −0.269200 | − | 0.232130i | ||||
\(419\) | 0.264162 | + | 0.813006i | 0.0129051 | + | 0.0397180i | 0.957302 | − | 0.289091i | \(-0.0933529\pi\) |
−0.944397 | + | 0.328809i | \(0.893353\pi\) | |||||||
\(420\) | 0.891947 | − | 0.707058i | 0.0435226 | − | 0.0345009i | ||||
\(421\) | −11.9738 | + | 36.8516i | −0.583567 | + | 1.79604i | 0.0213818 | + | 0.999771i | \(0.493193\pi\) |
−0.604949 | + | 0.796264i | \(0.706807\pi\) | |||||||
\(422\) | 17.7105 | − | 10.7381i | 0.862135 | − | 0.522724i | ||||
\(423\) | −14.7669 | + | 17.0718i | −0.717989 | + | 0.830058i | ||||
\(424\) | −13.4276 | − | 8.49283i | −0.652100 | − | 0.412448i | ||||
\(425\) | 10.5943 | + | 9.96535i | 0.513897 | + | 0.483391i | ||||
\(426\) | 13.6572 | − | 2.60508i | 0.661695 | − | 0.126217i | ||||
\(427\) | −0.447460 | + | 0.325099i | −0.0216541 | + | 0.0157326i | ||||
\(428\) | 3.95814 | − | 23.5468i | 0.191324 | − | 1.13818i | ||||
\(429\) | −0.956022 | − | 1.44055i | −0.0461572 | − | 0.0695503i | ||||
\(430\) | −2.47594 | − | 14.6308i | −0.119401 | − | 0.705562i | ||||
\(431\) | −10.3806 | − | 31.9482i | −0.500016 | − | 1.53889i | −0.808991 | − | 0.587820i | \(-0.799986\pi\) |
0.308976 | − | 0.951070i | \(-0.400014\pi\) | |||||||
\(432\) | 3.02663 | − | 20.5631i | 0.145619 | − | 0.989341i | ||||
\(433\) | −13.8548 | + | 4.50169i | −0.665818 | + | 0.216337i | −0.622376 | − | 0.782719i | \(-0.713832\pi\) |
−0.0434423 | + | 0.999056i | \(0.513832\pi\) | |||||||
\(434\) | 0.267767 | + | 1.13904i | 0.0128532 | + | 0.0546755i | ||||
\(435\) | 29.7139 | − | 17.1183i | 1.42467 | − | 0.820758i | ||||
\(436\) | 13.2501 | + | 13.5032i | 0.634567 | + | 0.646688i | ||||
\(437\) | −5.35529 | − | 3.89084i | −0.256178 | − | 0.186124i | ||||
\(438\) | 16.3244 | − | 34.6900i | 0.780010 | − | 1.65755i | ||||
\(439\) | 12.7796 | + | 17.5896i | 0.609937 | + | 0.839507i | 0.996572 | − | 0.0827260i | \(-0.0263626\pi\) |
−0.386635 | + | 0.922233i | \(0.626363\pi\) | |||||||
\(440\) | −3.42884 | − | 4.70850i | −0.163464 | − | 0.224469i | ||||
\(441\) | −8.13272 | + | 19.2910i | −0.387272 | + | 0.918619i | ||||
\(442\) | −1.72578 | + | 4.11129i | −0.0820869 | + | 0.195554i | ||||
\(443\) | − | 8.06028i | − | 0.382956i | −0.981497 | − | 0.191478i | \(-0.938672\pi\) | ||
0.981497 | − | 0.191478i | \(-0.0613280\pi\) | |||||||
\(444\) | 2.93021 | − | 13.8191i | 0.139061 | − | 0.655824i | ||||
\(445\) | 4.61092 | + | 3.81773i | 0.218579 | + | 0.180978i | ||||
\(446\) | 21.5544 | + | 35.5499i | 1.02063 | + | 1.68334i | ||||
\(447\) | −0.279178 | − | 0.420669i | −0.0132047 | − | 0.0198970i | ||||
\(448\) | 1.03184 | + | 0.563186i | 0.0487498 | + | 0.0266080i | ||||
\(449\) | − | 27.9862i | − | 1.32075i | −0.750936 | − | 0.660375i | \(-0.770397\pi\) | ||
0.750936 | − | 0.660375i | \(-0.229603\pi\) | |||||||
\(450\) | 21.2091 | − | 0.415272i | 0.999808 | − | 0.0195761i | ||||
\(451\) | 8.78428i | 0.413636i | ||||||||
\(452\) | 16.7411 | + | 17.0609i | 0.787435 | + | 0.802477i | ||||
\(453\) | 7.63565 | + | 11.5055i | 0.358754 | + | 0.540576i | ||||
\(454\) | −11.6203 | + | 7.04553i | −0.545367 | + | 0.330663i | ||||
\(455\) | −0.131236 | + | 0.331060i | −0.00615243 | + | 0.0155203i | ||||
\(456\) | 16.5489 | + | 21.7571i | 0.774971 | + | 1.01887i | ||||
\(457\) | 12.1121i | 0.566581i | 0.959034 | + | 0.283291i | \(0.0914261\pi\) | ||||
−0.959034 | + | 0.283291i | \(0.908574\pi\) | |||||||
\(458\) | 10.8792 | + | 4.56672i | 0.508352 | + | 0.213389i | ||||
\(459\) | 13.2569 | − | 7.26122i | 0.618778 | − | 0.338925i | ||||
\(460\) | −3.46903 | − | 4.01409i | −0.161744 | − | 0.187158i | ||||
\(461\) | −2.27653 | − | 3.13338i | −0.106029 | − | 0.145936i | 0.752705 | − | 0.658358i | \(-0.228749\pi\) |
−0.858734 | + | 0.512422i | \(0.828749\pi\) | |||||||
\(462\) | −0.299933 | − | 0.141142i | −0.0139542 | − | 0.00656653i | ||||
\(463\) | 3.45359 | + | 2.50918i | 0.160502 | + | 0.116612i | 0.665137 | − | 0.746721i | \(-0.268373\pi\) |
−0.504635 | + | 0.863333i | \(0.668373\pi\) | |||||||
\(464\) | 28.2538 | + | 21.3558i | 1.31165 | + | 0.991420i | ||||
\(465\) | −8.88855 | + | 19.9138i | −0.412197 | + | 0.923481i | ||||
\(466\) | −21.7231 | + | 5.10670i | −1.00630 | + | 0.236563i | ||||
\(467\) | 8.56240 | − | 2.78209i | 0.396221 | − | 0.128740i | −0.104128 | − | 0.994564i | \(-0.533205\pi\) |
0.500349 | + | 0.865824i | \(0.333205\pi\) | |||||||
\(468\) | 2.39381 | + | 6.04652i | 0.110654 | + | 0.279500i | ||||
\(469\) | 0.375593 | + | 1.15596i | 0.0173433 | + | 0.0533771i | ||||
\(470\) | 3.47372 | − | 23.5383i | 0.160231 | − | 1.08574i | ||||
\(471\) | 15.0719 | + | 22.7106i | 0.694477 | + | 1.04645i | ||||
\(472\) | 23.2067 | − | 19.2576i | 1.06817 | − | 0.886404i | ||||
\(473\) | −3.49624 | + | 2.54016i | −0.160757 | + | 0.116797i | ||||
\(474\) | 7.15460 | + | 37.5082i | 0.328622 | + | 1.72281i | ||||
\(475\) | −19.1154 | + | 20.3217i | −0.877074 | + | 0.932426i | ||||
\(476\) | 0.125739 | + | 0.845584i | 0.00576325 | + | 0.0387573i | ||||
\(477\) | −12.7453 | − | 11.0245i | −0.583565 | − | 0.504776i | ||||
\(478\) | 13.2883 | + | 21.9165i | 0.607791 | + | 1.00244i | ||||
\(479\) | −9.41830 | + | 28.9865i | −0.430333 | + | 1.32443i | 0.467461 | + | 0.884014i | \(0.345169\pi\) |
−0.897794 | + | 0.440415i | \(0.854831\pi\) | |||||||
\(480\) | 8.94303 | + | 20.0006i | 0.408191 | + | 0.912896i | ||||
\(481\) | 1.36582 | + | 4.20355i | 0.0622758 | + | 0.191665i | ||||
\(482\) | 26.0190 | − | 30.1742i | 1.18513 | − | 1.37440i | ||||
\(483\) | −0.282938 | − | 0.105391i | −0.0128741 | − | 0.00479545i | ||||
\(484\) | 9.38839 | − | 18.0027i | 0.426745 | − | 0.818304i | ||||
\(485\) | 11.8154 | + | 0.748322i | 0.536510 | + | 0.0339795i | ||||
\(486\) | 6.41581 | − | 21.0912i | 0.291027 | − | 0.956715i | ||||
\(487\) | −25.3173 | − | 18.3941i | −1.14724 | − | 0.833517i | −0.159127 | − | 0.987258i | \(-0.550868\pi\) |
−0.988111 | + | 0.153741i | \(0.950868\pi\) | |||||||
\(488\) | −3.93418 | − | 9.89271i | −0.178092 | − | 0.447822i | ||||
\(489\) | −22.3920 | − | 0.950123i | −1.01260 | − | 0.0429661i | ||||
\(490\) | −3.68211 | − | 21.7583i | −0.166341 | − | 0.982940i | ||||
\(491\) | 28.2618 | + | 20.5334i | 1.27544 | + | 0.926661i | 0.999405 | − | 0.0344873i | \(-0.0109798\pi\) |
0.276034 | + | 0.961148i | \(0.410980\pi\) | |||||||
\(492\) | 6.85368 | − | 32.3225i | 0.308988 | − | 1.45721i | ||||
\(493\) | 25.7562i | 1.16000i | ||||||||
\(494\) | −7.88621 | − | 3.31037i | −0.354817 | − | 0.148940i | ||||
\(495\) | −2.85428 | − | 5.47913i | −0.128290 | − | 0.246269i | ||||
\(496\) | −22.5186 | − | 0.426115i | −1.01112 | − | 0.0191331i | ||||
\(497\) | −0.257735 | + | 0.793227i | −0.0115610 | + | 0.0355811i | ||||
\(498\) | −25.4687 | − | 23.9173i | −1.14128 | − | 1.07176i | ||||
\(499\) | − | 13.1530i | − | 0.588810i | −0.955681 | − | 0.294405i | \(-0.904879\pi\) | ||
0.955681 | − | 0.294405i | \(-0.0951215\pi\) | |||||||
\(500\) | −18.6277 | + | 12.3697i | −0.833055 | + | 0.553189i | ||||
\(501\) | 17.5499 | − | 22.1189i | 0.784072 | − | 0.988200i | ||||
\(502\) | 0.0747572 | − | 0.895693i | 0.00333658 | − | 0.0399767i | ||||
\(503\) | 14.8552 | + | 4.82676i | 0.662362 | + | 0.215214i | 0.620857 | − | 0.783924i | \(-0.286785\pi\) |
0.0415050 | + | 0.999138i | \(0.486785\pi\) | |||||||
\(504\) | 0.993506 | + | 0.753358i | 0.0442543 | + | 0.0335572i | ||||
\(505\) | 2.26513 | + | 8.83744i | 0.100797 | + | 0.393261i | ||||
\(506\) | −0.598033 | + | 1.42468i | −0.0265858 | + | 0.0633348i | ||||
\(507\) | 16.0450 | + | 12.7306i | 0.712582 | + | 0.565387i | ||||
\(508\) | −19.2588 | + | 9.58444i | −0.854470 | + | 0.425241i | ||||
\(509\) | 1.95824 | − | 2.69529i | 0.0867976 | − | 0.119467i | −0.763410 | − | 0.645914i | \(-0.776476\pi\) |
0.850208 | + | 0.526448i | \(0.176476\pi\) | |||||||
\(510\) | −7.68172 | + | 13.9588i | −0.340152 | + | 0.618104i | ||||
\(511\) | 1.35185 | + | 1.86066i | 0.0598022 | + | 0.0823107i | ||||
\(512\) | −15.4143 | + | 16.5650i | −0.681221 | + | 0.732078i | ||||
\(513\) | 13.9284 | + | 25.4292i | 0.614953 | + | 1.12272i | ||||
\(514\) | 0.590918 | − | 7.08000i | 0.0260643 | − | 0.312286i | ||||
\(515\) | 0.173028 | − | 2.73197i | 0.00762451 | − | 0.120385i | ||||
\(516\) | 14.8466 | − | 6.61890i | 0.653584 | − | 0.291381i | ||||
\(517\) | −6.59025 | + | 2.14130i | −0.289839 | + | 0.0941744i | ||||
\(518\) | 0.641770 | + | 0.553395i | 0.0281977 | + | 0.0243148i | ||||
\(519\) | −4.02501 | + | 10.8058i | −0.176678 | + | 0.474322i | ||||
\(520\) | −5.55016 | − | 4.02311i | −0.243391 | − | 0.176425i | ||||
\(521\) | −33.0588 | − | 10.7414i | −1.44833 | − | 0.470591i | −0.523847 | − | 0.851813i | \(-0.675503\pi\) |
−0.924484 | + | 0.381222i | \(0.875503\pi\) | |||||||
\(522\) | 26.2687 | + | 26.8532i | 1.14975 | + | 1.17533i | ||||
\(523\) | 19.6936 | − | 14.3082i | 0.861139 | − | 0.625654i | −0.0670557 | − | 0.997749i | \(-0.521361\pi\) |
0.928195 | + | 0.372095i | \(0.121361\pi\) | |||||||
\(524\) | −2.07112 | − | 13.9281i | −0.0904775 | − | 0.608452i | ||||
\(525\) | −0.591093 | + | 1.12694i | −0.0257974 | + | 0.0491835i | ||||
\(526\) | 10.7144 | + | 9.23896i | 0.467170 | + | 0.402838i | ||||
\(527\) | −9.62745 | − | 13.2511i | −0.419378 | − | 0.577225i | ||||
\(528\) | 4.05976 | − | 4.92247i | 0.176678 | − | 0.214223i | ||||
\(529\) | 6.67249 | − | 20.5358i | 0.290108 | − | 0.892862i | ||||
\(530\) | 17.5729 | + | 2.59337i | 0.763320 | + | 0.112649i | ||||
\(531\) | 27.3765 | − | 16.5411i | 1.18804 | − | 0.717821i | ||||
\(532\) | −1.62199 | + | 0.241191i | −0.0703221 | + | 0.0104570i | ||||
\(533\) | 3.19461 | + | 9.83199i | 0.138374 | + | 0.425871i | ||||
\(534\) | −2.79219 | + | 5.93351i | −0.120830 | + | 0.256768i | ||||
\(535\) | 6.62807 | + | 25.8595i | 0.286556 | + | 1.11800i | ||||
\(536\) | −23.3473 | + | 1.50446i | −1.00845 | + | 0.0649829i | ||||
\(537\) | −5.40353 | − | 19.3921i | −0.233180 | − | 0.836829i | ||||
\(538\) | −6.99786 | − | 29.7678i | −0.301699 | − | 1.28338i | ||||
\(539\) | −5.19944 | + | 3.77761i | −0.223956 | + | 0.162713i | ||||
\(540\) | 6.22763 | + | 22.3879i | 0.267994 | + | 0.963420i | ||||
\(541\) | 17.5283 | + | 12.7351i | 0.753601 | + | 0.547523i | 0.896941 | − | 0.442150i | \(-0.145784\pi\) |
−0.143340 | + | 0.989674i | \(0.545784\pi\) | |||||||
\(542\) | 4.99651 | − | 11.9031i | 0.214618 | − | 0.511281i | ||||
\(543\) | 11.1682 | + | 8.86126i | 0.479275 | + | 0.380273i | ||||
\(544\) | −16.3695 | − | 1.67866i | −0.701838 | − | 0.0719718i | ||||
\(545\) | −19.6628 | − | 7.79456i | −0.842261 | − | 0.333882i | ||||
\(546\) | −0.387036 | − | 0.0488988i | −0.0165636 | − | 0.00209268i | ||||
\(547\) | −4.26103 | + | 13.1141i | −0.182188 | + | 0.560718i | −0.999889 | − | 0.0149263i | \(-0.995249\pi\) |
0.817700 | + | 0.575644i | \(0.195249\pi\) | |||||||
\(548\) | −4.08683 | − | 4.16489i | −0.174581 | − | 0.177915i | ||||
\(549\) | −2.56717 | − | 10.9964i | −0.109564 | − | 0.469316i | ||||
\(550\) | 5.63865 | + | 3.25796i | 0.240433 | + | 0.138920i | ||||
\(551\) | −49.4052 | −2.10473 | ||||||||
\(552\) | 3.31207 | − | 4.77563i | 0.140971 | − | 0.203264i | ||||
\(553\) | −2.17852 | − | 0.707843i | −0.0926400 | − | 0.0301006i | ||||
\(554\) | 31.8040 | − | 19.2832i | 1.35122 | − | 0.819264i | ||||
\(555\) | 3.26923 | + | 15.4516i | 0.138771 | + | 0.655886i | ||||
\(556\) | −16.4509 | − | 33.0560i | −0.697671 | − | 1.40189i | ||||
\(557\) | −34.0690 | −1.44355 | −0.721775 | − | 0.692127i | \(-0.756674\pi\) | ||||
−0.721775 | + | 0.692127i | \(0.756674\pi\) | |||||||
\(558\) | −23.5522 | − | 3.99641i | −0.997046 | − | 0.169182i | ||||
\(559\) | −2.98945 | + | 4.11462i | −0.126440 | + | 0.174030i | ||||
\(560\) | −1.30985 | − | 0.107874i | −0.0553511 | − | 0.00455849i | ||||
\(561\) | 4.63602 | + | 0.196713i | 0.195733 | + | 0.00830523i | ||||
\(562\) | 6.97170 | + | 29.6565i | 0.294083 | + | 1.25098i | ||||
\(563\) | −2.17518 | + | 2.99388i | −0.0916730 | + | 0.126177i | −0.852390 | − | 0.522907i | \(-0.824848\pi\) |
0.760717 | + | 0.649084i | \(0.224848\pi\) | |||||||
\(564\) | 25.9200 | − | 2.73724i | 1.09143 | − | 0.115259i | ||||
\(565\) | −24.8433 | − | 9.84816i | −1.04516 | − | 0.414315i | ||||
\(566\) | −22.7132 | + | 5.33946i | −0.954707 | + | 0.224434i | ||||
\(567\) | 0.923324 | + | 0.946784i | 0.0387759 | + | 0.0397612i | ||||
\(568\) | −13.5682 | − | 8.58177i | −0.569308 | − | 0.360083i | ||||
\(569\) | 0.409563 | − | 0.133075i | 0.0171698 | − | 0.00557880i | −0.300420 | − | 0.953807i | \(-0.597127\pi\) |
0.317589 | + | 0.948228i | \(0.397127\pi\) | |||||||
\(570\) | −26.7755 | − | 14.7350i | −1.12150 | − | 0.617180i | ||||
\(571\) | 7.45937 | + | 2.42370i | 0.312165 | + | 0.101429i | 0.460910 | − | 0.887447i | \(-0.347523\pi\) |
−0.148745 | + | 0.988876i | \(0.547523\pi\) | |||||||
\(572\) | −0.330942 | + | 1.96876i | −0.0138374 | + | 0.0823180i | ||||
\(573\) | 2.44183 | + | 0.103611i | 0.102009 | + | 0.00432839i | ||||
\(574\) | 1.50108 | + | 1.29438i | 0.0626540 | + | 0.0540262i | ||||
\(575\) | 5.36495 | + | 2.53004i | 0.223734 | + | 0.105510i | ||||
\(576\) | −18.7788 | + | 14.9451i | −0.782450 | + | 0.622713i | ||||
\(577\) | −5.30734 | − | 7.30493i | −0.220948 | − | 0.304108i | 0.684126 | − | 0.729364i | \(-0.260184\pi\) |
−0.905073 | + | 0.425256i | \(0.860184\pi\) | |||||||
\(578\) | 6.26027 | + | 10.3252i | 0.260393 | + | 0.429470i | ||||
\(579\) | −6.71815 | − | 10.1230i | −0.279197 | − | 0.420698i | ||||
\(580\) | −38.5563 | − | 9.01916i | −1.60096 | − | 0.374500i | ||||
\(581\) | 1.99332 | − | 0.647668i | 0.0826967 | − | 0.0268698i | ||||
\(582\) | 2.43000 | + | 12.7394i | 0.100727 | + | 0.528064i | ||||
\(583\) | −1.59863 | − | 4.92008i | −0.0662085 | − | 0.203769i | ||||
\(584\) | −41.1365 | + | 16.3594i | −1.70224 | + | 0.676955i | ||||
\(585\) | −5.18733 | − | 5.09461i | −0.214470 | − | 0.210636i | ||||
\(586\) | −0.823661 | + | 9.86858i | −0.0340251 | + | 0.407667i | ||||
\(587\) | −21.0438 | + | 28.9643i | −0.868570 | + | 1.19548i | 0.110888 | + | 0.993833i | \(0.464631\pi\) |
−0.979457 | + | 0.201651i | \(0.935369\pi\) | |||||||
\(588\) | 22.0791 | − | 9.84332i | 0.910527 | − | 0.405932i | ||||
\(589\) | 25.4180 | − | 18.4672i | 1.04733 | − | 0.760930i | ||||
\(590\) | −14.9886 | + | 30.2010i | −0.617071 | + | 1.24335i | ||||
\(591\) | −9.45576 | − | 33.9346i | −0.388958 | − | 1.39588i | ||||
\(592\) | −13.3754 | + | 9.33637i | −0.549728 | + | 0.383723i | ||||
\(593\) | 13.8839 | 0.570143 | 0.285071 | − | 0.958506i | \(-0.407983\pi\) | ||||
0.285071 | + | 0.958506i | \(0.407983\pi\) | |||||||
\(594\) | 5.03411 | − | 4.52318i | 0.206552 | − | 0.185588i | ||||
\(595\) | −0.511799 | − | 0.807212i | −0.0209817 | − | 0.0330925i | ||||
\(596\) | −0.0966419 | + | 0.574918i | −0.00395861 | + | 0.0235496i | ||||
\(597\) | −0.0480117 | − | 0.0723448i | −0.00196499 | − | 0.00296087i | ||||
\(598\) | −0.151243 | + | 1.81209i | −0.00618477 | + | 0.0741020i | ||||
\(599\) | −1.11279 | −0.0454673 | −0.0227336 | − | 0.999742i | \(-0.507237\pi\) | ||||
−0.0227336 | + | 0.999742i | \(0.507237\pi\) | |||||||
\(600\) | −18.2059 | − | 16.3873i | −0.743254 | − | 0.669009i | ||||
\(601\) | −8.51068 | −0.347158 | −0.173579 | − | 0.984820i | \(-0.555533\pi\) | ||||
−0.173579 | + | 0.984820i | \(0.555533\pi\) | |||||||
\(602\) | −0.0811046 | + | 0.971743i | −0.00330558 | + | 0.0396053i | ||||
\(603\) | −24.7257 | − | 2.10208i | −1.00691 | − | 0.0856034i | ||||
\(604\) | 2.64320 | − | 15.7243i | 0.107550 | − | 0.639812i | ||||
\(605\) | −1.43483 | + | 22.6548i | −0.0583340 | + | 0.921048i | ||||
\(606\) | −8.75775 | + | 4.81448i | −0.355759 | + | 0.195575i | ||||
\(607\) | 18.2182 | 0.739454 | 0.369727 | − | 0.929140i | \(-0.379451\pi\) | ||||
0.369727 | + | 0.929140i | \(0.379451\pi\) | |||||||
\(608\) | 3.21998 | − | 31.3998i | 0.130587 | − | 1.27343i | ||||
\(609\) | −2.17078 | + | 0.604880i | −0.0879644 | + | 0.0245110i | ||||
\(610\) | 8.50504 | + | 8.32729i | 0.344359 | + | 0.337162i | ||||
\(611\) | −6.59754 | + | 4.79339i | −0.266908 | + | 0.193920i | ||||
\(612\) | −16.9051 | − | 4.34094i | −0.683349 | − | 0.175472i | ||||
\(613\) | −8.86037 | + | 12.1952i | −0.357867 | + | 0.492561i | −0.949553 | − | 0.313607i | \(-0.898463\pi\) |
0.591686 | + | 0.806169i | \(0.298463\pi\) | |||||||
\(614\) | −0.779710 | + | 9.34199i | −0.0314665 | + | 0.377012i | ||||
\(615\) | 7.64665 | + | 36.1410i | 0.308343 | + | 1.45735i | ||||
\(616\) | 0.141445 | + | 0.355670i | 0.00569897 | + | 0.0143304i | ||||
\(617\) | 7.80536 | + | 24.0224i | 0.314232 | + | 0.967107i | 0.976069 | + | 0.217459i | \(0.0697769\pi\) |
−0.661837 | + | 0.749647i | \(0.730223\pi\) | |||||||
\(618\) | 2.94561 | − | 0.561868i | 0.118490 | − | 0.0226016i | ||||
\(619\) | 21.5369 | − | 6.99777i | 0.865641 | − | 0.281264i | 0.157659 | − | 0.987494i | \(-0.449605\pi\) |
0.707983 | + | 0.706230i | \(0.249605\pi\) | |||||||
\(620\) | 23.2077 | − | 9.77185i | 0.932045 | − | 0.392447i | ||||
\(621\) | 4.22673 | − | 4.48701i | 0.169613 | − | 0.180058i | ||||
\(622\) | 17.6495 | + | 29.1095i | 0.707679 | + | 1.16718i | ||||
\(623\) | −0.231225 | − | 0.318254i | −0.00926384 | − | 0.0127506i | ||||
\(624\) | 2.75380 | − | 6.98600i | 0.110240 | − | 0.279664i | ||||
\(625\) | 13.4310 | − | 21.0858i | 0.537238 | − | 0.843431i | ||||
\(626\) | 29.5621 | + | 25.4912i | 1.18154 | + | 1.01883i | ||||
\(627\) | −0.377332 | + | 8.89275i | −0.0150692 | + | 0.355142i | ||||
\(628\) | 5.21739 | − | 31.0380i | 0.208196 | − | 1.23855i | ||||
\(629\) | −11.2818 | − | 3.66567i | −0.449834 | − | 0.146160i | ||||
\(630\) | −1.35687 | − | 0.319610i | −0.0540591 | − | 0.0127335i | ||||
\(631\) | −19.2741 | + | 6.26254i | −0.767291 | + | 0.249308i | −0.666405 | − | 0.745590i | \(-0.732168\pi\) |
−0.100886 | + | 0.994898i | \(0.532168\pi\) | |||||||
\(632\) | 23.5690 | − | 37.2636i | 0.937523 | − | 1.48227i | ||||
\(633\) | −23.7709 | − | 8.85434i | −0.944809 | − | 0.351929i | ||||
\(634\) | −27.3792 | + | 6.43636i | −1.08737 | + | 0.255620i | ||||
\(635\) | 15.3385 | − | 18.5252i | 0.608688 | − | 0.735151i | ||||
\(636\) | 2.04354 | + | 19.3511i | 0.0810316 | + | 0.767321i | ||||
\(637\) | −4.44576 | + | 6.11907i | −0.176148 | + | 0.242446i | ||||
\(638\) | 2.63903 | + | 11.2260i | 0.104480 | + | 0.444443i | ||||
\(639\) | −12.8787 | − | 11.1399i | −0.509475 | − | 0.440689i | ||||
\(640\) | 8.24509 | − | 23.9169i | 0.325916 | − | 0.945399i | ||||
\(641\) | −12.6976 | + | 17.4767i | −0.501524 | + | 0.690289i | −0.982461 | − | 0.186466i | \(-0.940297\pi\) |
0.480937 | + | 0.876755i | \(0.340297\pi\) | |||||||
\(642\) | −25.6263 | + | 14.0878i | −1.01139 | + | 0.556001i | ||||
\(643\) | 28.1000 | 1.10815 | 0.554077 | − | 0.832465i | \(-0.313071\pi\) | ||||
0.554077 | + | 0.832465i | \(0.313071\pi\) | |||||||
\(644\) | 0.155333 | + | 0.312122i | 0.00612096 | + | 0.0122993i | ||||
\(645\) | −12.1733 | + | 13.4944i | −0.479323 | + | 0.531341i | ||||
\(646\) | 19.6286 | − | 11.9011i | 0.772277 | − | 0.468242i | ||||
\(647\) | 18.7025 | + | 6.07680i | 0.735270 | + | 0.238904i | 0.652631 | − | 0.757676i | \(-0.273665\pi\) |
0.0826390 | + | 0.996580i | \(0.473665\pi\) | |||||||
\(648\) | −22.0525 | + | 12.7157i | −0.866303 | + | 0.499519i | ||||
\(649\) | 9.81920 | 0.385437 | ||||||||
\(650\) | 7.49601 | + | 1.59591i | 0.294018 | + | 0.0625969i | ||||
\(651\) | 0.890723 | − | 1.12262i | 0.0349102 | − | 0.0439988i | ||||
\(652\) | 18.1255 | + | 18.4717i | 0.709848 | + | 0.723408i | ||||
\(653\) | 4.77116 | − | 14.6841i | 0.186710 | − | 0.574635i | −0.813264 | − | 0.581896i | \(-0.802311\pi\) |
0.999974 | + | 0.00726094i | \(0.00231125\pi\) | |||||||
\(654\) | 2.90427 | − | 22.9874i | 0.113566 | − | 0.898879i | ||||
\(655\) | 8.43013 | + | 13.2960i | 0.329393 | + | 0.519520i | ||||
\(656\) | −31.2848 | + | 21.8375i | −1.22147 | + | 0.852612i | ||||
\(657\) | −45.7260 | + | 10.6750i | −1.78394 | + | 0.416470i | ||||
\(658\) | −0.605170 | + | 1.44168i | −0.0235920 | + | 0.0562027i | ||||
\(659\) | −23.6450 | − | 17.1791i | −0.921077 | − | 0.669202i | 0.0227147 | − | 0.999742i | \(-0.492769\pi\) |
−0.943792 | + | 0.330540i | \(0.892769\pi\) | |||||||
\(660\) | −1.91789 | + | 6.87111i | −0.0746537 | + | 0.267458i | ||||
\(661\) | 6.74049 | − | 4.89725i | 0.262175 | − | 0.190481i | −0.448931 | − | 0.893567i | \(-0.648195\pi\) |
0.711105 | + | 0.703086i | \(0.248195\pi\) | |||||||
\(662\) | −4.70769 | − | 20.0258i | −0.182970 | − | 0.778323i | ||||
\(663\) | 5.26050 | − | 1.46582i | 0.204301 | − | 0.0569277i | ||||
\(664\) | 2.59428 | + | 40.2598i | 0.100678 | + | 1.56238i | ||||
\(665\) | 1.54838 | − | 0.981725i | 0.0600437 | − | 0.0380697i | ||||
\(666\) | −15.5009 | + | 7.68447i | −0.600648 | + | 0.297767i | ||||
\(667\) | 3.24588 | + | 9.98981i | 0.125681 | + | 0.386807i | ||||
\(668\) | −32.2490 | + | 4.79546i | −1.24775 | + | 0.185542i | ||||
\(669\) | 17.7731 | − | 47.7147i | 0.687147 | − | 1.84476i | ||||
\(670\) | 23.1796 | − | 12.1206i | 0.895505 | − | 0.468259i | ||||
\(671\) | 1.07122 | − | 3.29687i | 0.0413539 | − | 0.127274i | ||||
\(672\) | −0.242955 | − | 1.41908i | −0.00937220 | − | 0.0547420i | ||||
\(673\) | −2.93461 | − | 4.03914i | −0.113121 | − | 0.155697i | 0.748702 | − | 0.662906i | \(-0.230677\pi\) |
−0.861823 | + | 0.507209i | \(0.830677\pi\) | |||||||
\(674\) | −2.33372 | − | 2.01235i | −0.0898915 | − | 0.0775130i | ||||
\(675\) | −16.5129 | − | 20.0581i | −0.635580 | − | 0.772035i | ||||
\(676\) | −3.47861 | − | 23.3933i | −0.133793 | − | 0.899742i | ||||
\(677\) | −19.0640 | + | 13.8508i | −0.732690 | + | 0.532330i | −0.890413 | − | 0.455153i | \(-0.849585\pi\) |
0.157724 | + | 0.987483i | \(0.449585\pi\) | |||||||
\(678\) | 3.66945 | − | 29.0438i | 0.140924 | − | 1.11542i | ||||
\(679\) | −0.739916 | − | 0.240413i | −0.0283954 | − | 0.00922622i | ||||
\(680\) | 17.4910 | − | 5.70443i | 0.670748 | − | 0.218755i | ||||
\(681\) | 15.5966 | + | 5.80954i | 0.597665 | + | 0.222622i | ||||
\(682\) | −5.55392 | − | 4.78912i | −0.212671 | − | 0.183385i | ||||
\(683\) | 17.7725 | − | 5.77463i | 0.680046 | − | 0.220960i | 0.0514304 | − | 0.998677i | \(-0.483622\pi\) |
0.628615 | + | 0.777716i | \(0.283622\pi\) | |||||||
\(684\) | 8.32673 | − | 32.4272i | 0.318380 | − | 1.23988i | ||||
\(685\) | 6.06472 | + | 2.40413i | 0.231721 | + | 0.0918569i | ||||
\(686\) | −0.241603 | + | 2.89473i | −0.00922445 | + | 0.110521i | ||||
\(687\) | −3.87883 | − | 13.9202i | −0.147986 | − | 0.531090i | ||||
\(688\) | −17.7383 | − | 6.13690i | −0.676265 | − | 0.233967i | ||||
\(689\) | −3.57860 | − | 4.92552i | −0.136334 | − | 0.187647i | ||||
\(690\) | −1.22030 | + | 6.38212i | −0.0464561 | + | 0.242963i | ||||
\(691\) | 23.7900 | − | 32.7441i | 0.905014 | − | 1.24565i | −0.0638268 | − | 0.997961i | \(-0.520331\pi\) |
0.968841 | − | 0.247684i | \(-0.0796695\pi\) | |||||||
\(692\) | 11.9204 | − | 5.93236i | 0.453144 | − | 0.225514i | ||||
\(693\) | 0.0922968 | + | 0.395352i | 0.00350606 | + | 0.0150182i | ||||
\(694\) | 7.71661 | − | 18.3831i | 0.292918 | − | 0.697813i | ||||
\(695\) | 31.7969 | + | 26.3271i | 1.20613 | + | 0.998645i | ||||
\(696\) | −0.951753 | − | 43.3661i | −0.0360761 | − | 1.64379i | ||||
\(697\) | −26.3878 | − | 8.57391i | −0.999509 | − | 0.324760i | ||||
\(698\) | −1.92014 | + | 23.0059i | −0.0726783 | + | 0.870785i | ||||
\(699\) | 21.4099 | + | 16.9874i | 0.809798 | + | 0.642522i | ||||
\(700\) | 1.38759 | − | 0.483484i | 0.0524461 | − | 0.0182740i | ||||
\(701\) | 25.9868i | 0.981509i | 0.871298 | + | 0.490754i | \(0.163279\pi\) | ||||
−0.871298 | + | 0.490754i | \(0.836721\pi\) | |||||||
\(702\) | 3.98957 | − | 6.89343i | 0.150577 | − | 0.260176i | ||||
\(703\) | 7.03144 | − | 21.6405i | 0.265196 | − | 0.816189i | ||||
\(704\) | −7.30678 | + | 0.945600i | −0.275384 | + | 0.0356386i | ||||
\(705\) | −25.2501 | + | 14.5467i | −0.950976 | + | 0.547860i | ||||
\(706\) | 7.74553 | + | 3.25131i | 0.291507 | + | 0.122365i | ||||
\(707\) | − | 0.599517i | − | 0.0225471i | ||||||
\(708\) | −36.1305 | − | 7.66114i | −1.35787 | − | 0.287923i | ||||
\(709\) | 11.3090 | + | 8.21650i | 0.424720 | + | 0.308577i | 0.779534 | − | 0.626360i | \(-0.215456\pi\) |
−0.354814 | + | 0.934937i | \(0.615456\pi\) | |||||||
\(710\) | 17.7570 | + | 2.62053i | 0.666408 | + | 0.0983468i | ||||
\(711\) | 30.5947 | − | 35.3701i | 1.14739 | − | 1.32648i | ||||
\(712\) | 7.03615 | − | 2.79817i | 0.263691 | − | 0.104866i | ||||
\(713\) | −5.40405 | − | 3.92627i | −0.202383 | − | 0.147040i | ||||
\(714\) | 0.716739 | − | 0.763230i | 0.0268233 | − | 0.0285632i | ||||
\(715\) | −0.554178 | − | 2.16213i | −0.0207251 | − | 0.0808591i | ||||
\(716\) | −10.7485 | + | 20.6108i | −0.401690 | + | 0.770260i | ||||
\(717\) | 10.9571 | − | 29.4161i | 0.409201 | − | 1.09857i | ||||
\(718\) | −1.45018 | + | 1.68177i | −0.0541204 | + | 0.0627632i | ||||
\(719\) | 9.59929 | + | 29.5436i | 0.357993 | + | 1.10179i | 0.954254 | + | 0.298998i | \(0.0966525\pi\) |
−0.596261 | + | 0.802791i | \(0.703348\pi\) | |||||||
\(720\) | 12.4180 | − | 23.7864i | 0.462792 | − | 0.886467i | ||||
\(721\) | −0.0555886 | + | 0.171084i | −0.00207023 | + | 0.00637151i | ||||
\(722\) | 8.89744 | + | 14.6747i | 0.331128 | + | 0.546134i | ||||
\(723\) | −48.7537 | − | 2.06869i | −1.81317 | − | 0.0769355i | ||||
\(724\) | −2.42131 | − | 16.2831i | −0.0899874 | − | 0.605156i | ||||
\(725\) | 43.4938 | − | 8.25919i | 1.61532 | − | 0.306739i | ||||
\(726\) | −24.4264 | + | 4.65927i | −0.906548 | + | 0.172922i | ||||
\(727\) | −32.3401 | + | 23.4965i | −1.19943 | + | 0.871436i | −0.994228 | − | 0.107283i | \(-0.965785\pi\) |
−0.205201 | + | 0.978720i | \(0.565785\pi\) | |||||||
\(728\) | 0.287663 | + | 0.346652i | 0.0106615 | + | 0.0128478i | ||||
\(729\) | −25.1347 | + | 9.86127i | −0.930916 | + | 0.365232i | ||||
\(730\) | 34.6271 | − | 35.3662i | 1.28161 | − | 1.30896i | ||||
\(731\) | −4.21809 | − | 12.9819i | −0.156012 | − | 0.480155i | ||||
\(732\) | −6.51392 | + | 11.2953i | −0.240761 | + | 0.417487i | ||||
\(733\) | −48.1127 | + | 15.6328i | −1.77708 | + | 0.577410i | −0.998728 | − | 0.0504128i | \(-0.983946\pi\) |
−0.778356 | + | 0.627823i | \(0.783946\pi\) | |||||||
\(734\) | 43.5965 | − | 10.2487i | 1.60918 | − | 0.378288i | ||||
\(735\) | −18.1036 | + | 20.0682i | −0.667760 | + | 0.740228i | ||||
\(736\) | −6.56064 | + | 1.41186i | −0.241828 | + | 0.0520418i | ||||
\(737\) | −6.16300 | − | 4.47768i | −0.227017 | − | 0.164937i | ||||
\(738\) | −36.2562 | + | 17.9738i | −1.33461 | + | 0.661624i | ||||
\(739\) | −7.82821 | − | 10.7746i | −0.287965 | − | 0.396350i | 0.640387 | − | 0.768053i | \(-0.278774\pi\) |
−0.928352 | + | 0.371703i | \(0.878774\pi\) | |||||||
\(740\) | 9.43800 | − | 15.6049i | 0.346948 | − | 0.573647i | ||||
\(741\) | 2.81172 | + | 10.0906i | 0.103291 | + | 0.370688i | ||||
\(742\) | −1.07632 | − | 0.451802i | −0.0395128 | − | 0.0165862i | ||||
\(743\) | 41.3570i | 1.51724i | 0.651533 | + | 0.758620i | \(0.274126\pi\) | ||||
−0.651533 | + | 0.758620i | \(0.725874\pi\) | |||||||
\(744\) | 16.6995 | + | 21.9552i | 0.612234 | + | 0.804917i | ||||
\(745\) | −0.161831 | − | 0.631386i | −0.00592903 | − | 0.0231322i | ||||
\(746\) | −7.08246 | + | 4.29419i | −0.259307 | + | 0.157221i | ||||
\(747\) | −3.62481 | + | 42.6368i | −0.132625 | + | 1.56000i | ||||
\(748\) | −3.75269 | − | 3.82437i | −0.137212 | − | 0.139833i | ||||
\(749\) | − | 1.75426i | − | 0.0640994i | ||||||
\(750\) | 26.0350 | + | 8.49576i | 0.950664 | + | 0.310221i | ||||
\(751\) | − | 22.6414i | − | 0.826197i | −0.910686 | − | 0.413098i | \(-0.864447\pi\) | ||
0.910686 | − | 0.413098i | \(-0.135553\pi\) | |||||||
\(752\) | −24.0094 | − | 18.1477i | −0.875532 | − | 0.661777i | ||||
\(753\) | −0.917203 | + | 0.608704i | −0.0334247 | + | 0.0221824i | ||||
\(754\) | 7.03640 | + | 11.6052i | 0.256251 | + | 0.422637i | ||||
\(755\) | 4.42616 | + | 17.2687i | 0.161084 | + | 0.628473i | ||||
\(756\) | −0.0311518 | − | 1.52674i | −0.00113298 | − | 0.0555270i | ||||
\(757\) | 4.74016i | 0.172284i | 0.996283 | + | 0.0861420i | \(0.0274539\pi\) | ||||
−0.996283 | + | 0.0861420i | \(0.972546\pi\) | |||||||
\(758\) | 14.9697 | − | 35.6619i | 0.543722 | − | 1.29530i | ||||
\(759\) | 1.82292 | − | 0.507950i | 0.0661677 | − | 0.0184374i | ||||
\(760\) | 10.9422 | + | 33.5509i | 0.396914 | + | 1.21702i | ||||
\(761\) | 14.4110 | + | 19.8351i | 0.522399 | + | 0.719020i | 0.985948 | − | 0.167051i | \(-0.0534243\pi\) |
−0.463549 | + | 0.886071i | \(0.653424\pi\) | |||||||
\(762\) | 23.8390 | + | 11.2181i | 0.863595 | + | 0.406390i | ||||
\(763\) | 1.12449 | + | 0.816987i | 0.0407092 | + | 0.0295769i | ||||
\(764\) | −1.97658 | − | 2.01433i | −0.0715100 | − | 0.0728760i | ||||
\(765\) | 19.2451 | − | 3.22629i | 0.695809 | − | 0.116647i | ||||
\(766\) | −0.418672 | − | 1.78097i | −0.0151272 | − | 0.0643489i | ||||
\(767\) | 10.9903 | − | 3.57098i | 0.396838 | − | 0.128941i | ||||
\(768\) | 27.6236 | + | 2.22149i | 0.996782 | + | 0.0801610i | ||||
\(769\) | −15.2533 | − | 46.9449i | −0.550049 | − | 1.69288i | −0.708673 | − | 0.705537i | \(-0.750706\pi\) |
0.158624 | − | 0.987339i | \(-0.449294\pi\) | |||||||
\(770\) | −0.305780 | − | 0.299389i | −0.0110195 | − | 0.0107892i | ||||
\(771\) | −7.25003 | + | 4.81150i | −0.261103 | + | 0.173282i | ||||
\(772\) | −2.32560 | + | 13.8349i | −0.0837001 | + | 0.497928i | ||||
\(773\) | −8.19491 | + | 5.95395i | −0.294750 | + | 0.214149i | −0.725325 | − | 0.688406i | \(-0.758311\pi\) |
0.430575 | + | 0.902555i | \(0.358311\pi\) | |||||||
\(774\) | −17.6380 | − | 9.23285i | −0.633986 | − | 0.331868i | ||||
\(775\) | −19.2894 | + | 20.5068i | −0.692897 | + | 0.736625i | ||||
\(776\) | 8.00501 | − | 12.6563i | 0.287363 | − | 0.454334i | ||||
\(777\) | 0.0439987 | − | 1.03694i | 0.00157844 | − | 0.0371999i | ||||
\(778\) | −12.4954 | + | 7.57612i | −0.447981 | + | 0.271617i | ||||
\(779\) | 16.4464 | − | 50.6167i | 0.589252 | − | 1.81353i | ||||
\(780\) | 0.352201 | + | 8.38811i | 0.0126108 | + | 0.300343i | ||||
\(781\) | −1.61537 | − | 4.97160i | −0.0578025 | − | 0.177898i | ||||
\(782\) | −3.69600 | − | 3.18704i | −0.132169 | − | 0.113968i | ||||
\(783\) | 5.83724 | − | 45.6360i | 0.208606 | − | 1.63090i | ||||
\(784\) | −26.3795 | − | 9.12650i | −0.942125 | − | 0.325947i | ||||
\(785\) | 8.73674 | + | 34.0865i | 0.311828 | + | 1.21660i | ||||
\(786\) | −11.8058 | + | 12.5716i | −0.421099 | + | 0.448414i | ||||
\(787\) | 6.03895 | + | 4.38755i | 0.215265 | + | 0.156399i | 0.690193 | − | 0.723626i | \(-0.257526\pi\) |
−0.474927 | + | 0.880025i | \(0.657526\pi\) | |||||||
\(788\) | −18.8090 | + | 36.0672i | −0.670045 | + | 1.28484i | ||||
\(789\) | 0.734561 | − | 17.3117i | 0.0261511 | − | 0.616313i | ||||
\(790\) | −7.19702 | + | 48.7678i | −0.256059 | + | 1.73508i | ||||
\(791\) | 1.42075 | + | 1.03224i | 0.0505161 | + | 0.0367021i | ||||
\(792\) | −7.81300 | − | 0.159897i | −0.277623 | − | 0.00568168i | ||||
\(793\) | − | 4.07967i | − | 0.144873i | ||||||
\(794\) | 10.3313 | − | 24.6121i | 0.366645 | − | 0.873452i | ||||
\(795\) | −10.8601 | − | 18.8510i | −0.385168 | − | 0.668575i | ||||
\(796\) | −0.0166200 | + | 0.0988718i | −0.000589082 | + | 0.00350442i | ||||
\(797\) | 9.67827 | − | 29.7867i | 0.342822 | − | 1.05510i | −0.619917 | − | 0.784667i | \(-0.712834\pi\) |
0.962739 | − | 0.270431i | \(-0.0871661\pi\) | |||||||
\(798\) | 1.46402 | + | 1.37484i | 0.0518257 | + | 0.0486687i | ||||
\(799\) | − | 21.8870i | − | 0.774306i | ||||||
\(800\) | 2.41448 | + | 28.1810i | 0.0853649 | + | 0.996350i | ||||
\(801\) | 7.82115 | − | 1.82589i | 0.276347 | − | 0.0645145i | ||||
\(802\) | 45.7771 | + | 3.82069i | 1.61644 | + | 0.134913i | ||||
\(803\) | −13.7093 | − | 4.45441i | −0.483790 | − | 0.157193i | ||||
\(804\) | 19.1837 | + | 21.2845i | 0.676555 | + | 0.750645i | ||||
\(805\) | −0.300234 | − | 0.248587i | −0.0105819 | − | 0.00876152i | ||||
\(806\) | −7.95802 | − | 3.34051i | −0.280309 | − | 0.117664i | ||||
\(807\) | −23.2783 | + | 29.3387i | −0.819435 | + | 1.03277i | ||||
\(808\) | 11.1817 | + | 2.85290i | 0.393372 | + | 0.100365i | ||||
\(809\) | 8.53409 | − | 11.7462i | 0.300042 | − | 0.412973i | −0.632201 | − | 0.774804i | \(-0.717848\pi\) |
0.932244 | + | 0.361831i | \(0.117848\pi\) | |||||||
\(810\) | 16.7743 | − | 22.9918i | 0.589390 | − | 0.807849i | ||||
\(811\) | −8.06450 | − | 11.0998i | −0.283183 | − | 0.389768i | 0.643602 | − | 0.765360i | \(-0.277439\pi\) |
−0.926785 | + | 0.375593i | \(0.877439\pi\) | |||||||
\(812\) | 2.30720 | + | 1.20321i | 0.0809669 | + | 0.0422242i | ||||
\(813\) | −15.2303 | + | 4.24387i | −0.534150 | + | 0.148839i | ||||
\(814\) | −5.29283 | − | 0.441756i | −0.185514 | − | 0.0154835i | ||||
\(815\) | −26.8976 | − | 10.6625i | −0.942182 | − | 0.373492i | ||||
\(816\) | 10.8245 | + | 17.0000i | 0.378932 | + | 0.595119i | ||||
\(817\) | 24.9018 | − | 8.09108i | 0.871203 | − | 0.283071i | ||||
\(818\) | −8.06668 | + | 9.35490i | −0.282045 | + | 0.327086i | ||||
\(819\) | 0.247084 | + | 0.408940i | 0.00863381 | + | 0.0142895i | ||||
\(820\) | 22.0752 | − | 36.4994i | 0.770900 | − | 1.27461i | ||||
\(821\) | 15.0819 | + | 4.90042i | 0.526363 | + | 0.171026i | 0.560131 | − | 0.828404i | \(-0.310751\pi\) |
−0.0337680 | + | 0.999430i | \(0.510751\pi\) | |||||||
\(822\) | −0.895784 | + | 7.09016i | −0.0312440 | + | 0.247298i | ||||
\(823\) | 6.57043 | − | 4.77370i | 0.229031 | − | 0.166401i | −0.467352 | − | 0.884072i | \(-0.654792\pi\) |
0.696382 | + | 0.717671i | \(0.254792\pi\) | |||||||
\(824\) | −2.92640 | − | 1.85093i | −0.101946 | − | 0.0644801i | ||||
\(825\) | −1.15444 | − | 7.89179i | −0.0401924 | − | 0.274757i | ||||
\(826\) | 1.44687 | − | 1.67793i | 0.0503431 | − | 0.0583828i | ||||
\(827\) | −0.349128 | − | 0.480534i | −0.0121404 | − | 0.0167098i | 0.802904 | − | 0.596109i | \(-0.203287\pi\) |
−0.815044 | + | 0.579399i | \(0.803287\pi\) | |||||||
\(828\) | −7.10388 | + | 0.446763i | −0.246877 | + | 0.0155261i | ||||
\(829\) | −2.02773 | + | 6.24071i | −0.0704260 | + | 0.216749i | −0.980075 | − | 0.198630i | \(-0.936351\pi\) |
0.909649 | + | 0.415379i | \(0.136351\pi\) | |||||||
\(830\) | −20.9006 | − | 39.9706i | −0.725470 | − | 1.38740i | ||||
\(831\) | −42.6871 | − | 15.9004i | −1.48080 | − | 0.551577i | ||||
\(832\) | −7.83437 | + | 3.71566i | −0.271608 | + | 0.128817i | ||||
\(833\) | −6.27295 | − | 19.3061i | −0.217345 | − | 0.668918i | ||||
\(834\) | −19.2549 | + | 40.9175i | −0.666744 | + | 1.41686i | ||||
\(835\) | 30.7855 | − | 19.5190i | 1.06538 | − | 0.675485i | ||||
\(836\) | 7.33586 | − | 7.19836i | 0.253716 | − | 0.248960i | ||||
\(837\) | 14.0552 | + | 25.6607i | 0.485818 | + | 0.886963i | ||||
\(838\) | −1.17685 | + | 0.276656i | −0.0406537 | + | 0.00955694i | ||||
\(839\) | −40.9785 | + | 29.7726i | −1.41473 | + | 1.02786i | −0.422122 | + | 0.906539i | \(0.638715\pi\) |
−0.992613 | + | 0.121326i | \(0.961285\pi\) | |||||||
\(840\) | 0.891551 | + | 1.34020i | 0.0307614 | + | 0.0462413i | ||||
\(841\) | 39.9629 | + | 29.0347i | 1.37803 | + | 1.00120i | ||||
\(842\) | −50.5270 | − | 21.2095i | −1.74127 | − | 0.730928i | ||||
\(843\) | 23.1913 | − | 29.2290i | 0.798750 | − | 1.00670i | ||||
\(844\) | 13.0502 | + | 26.2228i | 0.449206 | + | 0.902625i | ||||
\(845\) | 14.1590 | + | 22.3317i | 0.487086 | + | 0.768234i | ||||
\(846\) | −22.3225 | − | 22.8192i | −0.767464 | − | 0.784540i | ||||
\(847\) | 0.460967 | − | 1.41871i | 0.0158390 | − | 0.0487475i | ||||
\(848\) | 13.5485 | − | 17.9247i | 0.465257 | − | 0.615535i | ||||
\(849\) | 22.3858 | + | 17.7616i | 0.768278 | + | 0.609578i | ||||
\(850\) | −15.2905 | + | 13.7584i | −0.524458 | + | 0.471911i | ||||
\(851\) | −4.83771 | −0.165835 | ||||||||
\(852\) | 2.06494 | + | 19.5537i | 0.0707437 | + | 0.669900i | ||||
\(853\) | 15.7001 | + | 5.10129i | 0.537563 | + | 0.174665i | 0.565201 | − | 0.824953i | \(-0.308799\pi\) |
−0.0276383 | + | 0.999618i | \(0.508799\pi\) | |||||||
\(854\) | −0.405533 | − | 0.668852i | −0.0138771 | − | 0.0228876i | ||||
\(855\) | 6.18862 | + | 36.9157i | 0.211646 | + | 1.26249i | ||||
\(856\) | 32.7192 | + | 8.34795i | 1.11832 | + | 0.285327i | ||||
\(857\) | −15.7077 | −0.536563 | −0.268282 | − | 0.963341i | \(-0.586456\pi\) | ||||
−0.268282 | + | 0.963341i | \(0.586456\pi\) | |||||||
\(858\) | 2.14264 | − | 1.17789i | 0.0731484 | − | 0.0402125i | ||||
\(859\) | −22.3494 | + | 30.7613i | −0.762552 | + | 1.04956i | 0.234446 | + | 0.972129i | \(0.424672\pi\) |
−0.996998 | + | 0.0774331i | \(0.975328\pi\) | |||||||
\(860\) | 20.9107 | − | 1.76842i | 0.713048 | − | 0.0603026i | ||||
\(861\) | 0.102912 | − | 2.42537i | 0.00350722 | − | 0.0826562i | ||||
\(862\) | 46.2460 | − | 10.8716i | 1.57515 | − | 0.370288i | ||||
\(863\) | 14.8903 | − | 20.4948i | 0.506872 | − | 0.697650i | −0.476516 | − | 0.879166i | \(-0.658100\pi\) |
0.983388 | + | 0.181516i | \(0.0581004\pi\) | |||||||
\(864\) | 28.6238 | + | 6.68421i | 0.973801 | + | 0.227402i | ||||
\(865\) | −9.49385 | + | 11.4663i | −0.322801 | + | 0.389867i | ||||
\(866\) | −4.71462 | − | 20.0552i | −0.160209 | − | 0.681505i | ||||
\(867\) | 5.16204 | − | 13.8583i | 0.175312 | − | 0.470653i | ||||
\(868\) | −1.63676 | + | 0.243387i | −0.0555551 | + | 0.00826111i | ||||
\(869\) | 13.6540 | − | 4.43646i | 0.463180 | − | 0.150496i | ||||
\(870\) | 20.6299 | + | 43.8898i | 0.699419 | + | 1.48800i | ||||
\(871\) | −8.52647 | − | 2.77042i | −0.288909 | − | 0.0938721i | ||||
\(872\) | −20.5889 | + | 17.0853i | −0.697227 | + | 0.578581i | ||||
\(873\) | 10.3912 | − | 12.0132i | 0.351690 | − | 0.406585i | ||||
\(874\) | 6.11333 | − | 7.08961i | 0.206787 | − | 0.239810i | ||||
\(875\) | −1.19900 | + | 1.12311i | −0.0405335 | + | 0.0379679i | ||||
\(876\) | 46.9689 | + | 27.0866i | 1.58693 | + | 0.915172i | ||||
\(877\) | 16.3612 | + | 22.5193i | 0.552479 | + | 0.760422i | 0.990346 | − | 0.138618i | \(-0.0442660\pi\) |
−0.437867 | + | 0.899040i | \(0.644266\pi\) | |||||||
\(878\) | −26.2925 | + | 15.9415i | −0.887329 | + | 0.537999i | ||||
\(879\) | 10.1056 | − | 6.70659i | 0.340853 | − | 0.226208i | ||||
\(880\) | 7.03907 | − | 4.27847i | 0.237287 | − | 0.144227i | ||||
\(881\) | 32.0168 | − | 10.4029i | 1.07867 | − | 0.350483i | 0.284814 | − | 0.958583i | \(-0.408068\pi\) |
0.793860 | + | 0.608100i | \(0.208068\pi\) | |||||||
\(882\) | −26.2304 | − | 13.7307i | −0.883225 | − | 0.462335i | ||||
\(883\) | 7.21451 | + | 22.2040i | 0.242787 | + | 0.747223i | 0.995992 | + | 0.0894371i | \(0.0285068\pi\) |
−0.753205 | + | 0.657786i | \(0.771493\pi\) | |||||||
\(884\) | −5.59110 | − | 2.91576i | −0.188049 | − | 0.0980675i | ||||
\(885\) | 40.3989 | − | 8.54754i | 1.35800 | − | 0.287322i | ||||
\(886\) | 11.3595 | + | 0.948095i | 0.381629 | + | 0.0318519i | ||||
\(887\) | 33.4163 | − | 45.9936i | 1.12201 | − | 1.54432i | 0.319590 | − | 0.947556i | \(-0.396455\pi\) |
0.802420 | − | 0.596759i | \(-0.203545\pi\) | |||||||
\(888\) | 19.1307 | + | 5.75505i | 0.641985 | + | 0.193127i | ||||
\(889\) | −1.27864 | + | 0.928990i | −0.0428844 | + | 0.0311573i | ||||
\(890\) | −5.92274 | + | 6.04917i | −0.198531 | + | 0.202769i | ||||
\(891\) | −8.16971 | − | 1.39923i | −0.273696 | − | 0.0468758i | ||||
\(892\) | −52.6363 | + | 26.1953i | −1.76239 | + | 0.877083i | ||||
\(893\) | 41.9833 | 1.40492 | ||||||||
\(894\) | 0.625693 | − | 0.343968i | 0.0209263 | − | 0.0115040i | ||||
\(895\) | 1.64269 | − | 25.9368i | 0.0549092 | − | 0.866972i | ||||
\(896\) | −0.915076 | + | 1.38794i | −0.0305706 | + | 0.0463678i | ||||
\(897\) | 1.85561 | − | 1.23148i | 0.0619570 | − | 0.0411179i | ||||
\(898\) | 39.4413 | + | 3.29189i | 1.31617 | + | 0.109852i | ||||
\(899\) | −49.8550 | −1.66276 | ||||||||
\(900\) | −1.90949 | + | 29.9392i | −0.0636495 | + | 0.997972i | ||||
\(901\) | 16.3401 | 0.544369 | ||||||||
\(902\) | −12.3798 | − | 1.03325i | −0.412202 | − | 0.0344036i | ||||
\(903\) | 0.995080 | − | 0.660387i | 0.0331142 | − | 0.0219763i | ||||
\(904\) | −26.0133 | + | 21.5867i | −0.865190 | + | 0.717962i | ||||
\(905\) | 9.85551 | + | 15.5442i | 0.327608 | + | 0.516706i | ||||
\(906\) | −17.1130 | + | 9.40768i | −0.568542 | + | 0.312549i | ||||
\(907\) | 3.14640 | 0.104474 | 0.0522372 | − | 0.998635i | \(-0.483365\pi\) | ||||
0.0522372 | + | 0.998635i | \(0.483365\pi\) | |||||||
\(908\) | −8.56252 | − | 17.2054i | −0.284157 | − | 0.570980i | ||||
\(909\) | 11.2786 | + | 4.75486i | 0.374088 | + | 0.157709i | ||||
\(910\) | −0.451130 | − | 0.223894i | −0.0149548 | − | 0.00742200i | ||||
\(911\) | −30.4421 | + | 22.1175i | −1.00859 | + | 0.732784i | −0.963913 | − | 0.266218i | \(-0.914226\pi\) |
−0.0446775 | + | 0.999001i | \(0.514226\pi\) | |||||||
\(912\) | −32.6092 | + | 20.7633i | −1.07980 | + | 0.687543i | ||||
\(913\) | −7.72125 | + | 10.6274i | −0.255536 | + | 0.351715i | ||||
\(914\) | −17.0698 | − | 1.42469i | −0.564618 | − | 0.0471247i | ||||
\(915\) | 1.53739 | − | 14.4967i | 0.0508246 | − | 0.479248i | ||||
\(916\) | −7.71562 | + | 14.7950i | −0.254931 | + | 0.488842i | ||||
\(917\) | −0.319696 | − | 0.983923i | −0.0105573 | − | 0.0324920i | ||||
\(918\) | 8.67399 | + | 19.5372i | 0.286284 | + | 0.644824i | ||||
\(919\) | 28.5095 | − | 9.26329i | 0.940441 | − | 0.305568i | 0.201615 | − | 0.979465i | \(-0.435381\pi\) |
0.738825 | + | 0.673897i | \(0.235381\pi\) | |||||||
\(920\) | 6.06515 | − | 4.41679i | 0.199962 | − | 0.145617i | ||||
\(921\) | 9.56634 | − | 6.34872i | 0.315222 | − | 0.209197i | ||||
\(922\) | 4.68369 | − | 2.83978i | 0.154249 | − | 0.0935233i | ||||
\(923\) | −3.61608 | − | 4.97710i | −0.119025 | − | 0.163823i | ||||
\(924\) | 0.234194 | − | 0.406098i | 0.00770440 | − | 0.0133596i | ||||
\(925\) | −2.57241 | + | 20.2267i | −0.0845802 | + | 0.665049i | ||||
\(926\) | −3.94246 | + | 4.57205i | −0.129557 | + | 0.150247i | ||||
\(927\) | −2.77770 | − | 2.40267i | −0.0912317 | − | 0.0789142i | ||||
\(928\) | −33.4204 | + | 37.3065i | −1.09708 | + | 1.22465i | ||||
\(929\) | 26.9945 | + | 8.77105i | 0.885661 | + | 0.287769i | 0.716306 | − | 0.697786i | \(-0.245832\pi\) |
0.169355 | + | 0.985555i | \(0.445832\pi\) | |||||||
\(930\) | −27.0193 | − | 14.8691i | −0.885997 | − | 0.487578i | ||||
\(931\) | 37.0328 | − | 12.0327i | 1.21370 | − | 0.394355i | ||||
\(932\) | −4.64175 | − | 31.2153i | −0.152046 | − | 1.02249i | ||||
\(933\) | 14.5532 | − | 39.0705i | 0.476451 | − | 1.27911i | ||||
\(934\) | 2.91368 | + | 12.3943i | 0.0953386 | + | 0.405555i | ||||
\(935\) | 5.56887 | + | 2.20756i | 0.182121 | + | 0.0721951i | ||||
\(936\) | −8.80301 | + | 2.66241i | −0.287735 | + | 0.0870236i | ||||
\(937\) | 14.5315 | − | 20.0010i | 0.474725 | − | 0.653403i | −0.502756 | − | 0.864429i | \(-0.667680\pi\) |
0.977480 | + | 0.211026i | \(0.0676804\pi\) | |||||||
\(938\) | −1.67328 | + | 0.393358i | −0.0546347 | + | 0.0128436i | ||||
\(939\) | 2.02673 | − | 47.7647i | 0.0661397 | − | 1.55874i | ||||
\(940\) | 32.7642 | + | 7.66426i | 1.06865 | + | 0.249981i | ||||
\(941\) | 21.7073 | − | 29.8776i | 0.707639 | − | 0.973981i | −0.292206 | − | 0.956355i | \(-0.594389\pi\) |
0.999845 | − | 0.0176258i | \(-0.00561076\pi\) | |||||||
\(942\) | −33.7792 | + | 18.5697i | −1.10058 | + | 0.605034i | ||||
\(943\) | −11.3153 | −0.368476 | ||||||||
\(944\) | 24.4103 | + | 34.9707i | 0.794489 | + | 1.13820i | ||||
\(945\) | 0.723885 | + | 1.54624i | 0.0235480 | + | 0.0502993i | ||||
\(946\) | −3.16864 | − | 5.22608i | −0.103021 | − | 0.169915i | ||||
\(947\) | −42.9361 | − | 13.9508i | −1.39524 | − | 0.453340i | −0.487588 | − | 0.873074i | \(-0.662123\pi\) |
−0.907647 | + | 0.419734i | \(0.862123\pi\) | |||||||
\(948\) | −53.7024 | + | 5.67115i | −1.74417 | + | 0.184190i | ||||
\(949\) | −16.9643 | −0.550686 | ||||||||
\(950\) | −26.3913 | − | 29.3299i | −0.856245 | − | 0.951589i | ||||
\(951\) | 26.9846 | + | 21.4105i | 0.875034 | + | 0.694282i | ||||
\(952\) | −1.20648 | + | 0.0777439i | −0.0391024 | + | 0.00251969i | ||||
\(953\) | −1.49850 | + | 4.61190i | −0.0485411 | + | 0.149394i | −0.972389 | − | 0.233365i | \(-0.925026\pi\) |
0.923848 | + | 0.382759i | \(0.125026\pi\) | |||||||
\(954\) | 17.0361 | − | 16.6653i | 0.551564 | − | 0.539559i | ||||
\(955\) | 2.93317 | + | 1.16274i | 0.0949153 | + | 0.0376255i | ||||
\(956\) | −32.4503 | + | 16.1494i | −1.04952 | + | 0.522309i | ||||
\(957\) | 8.77872 | − | 11.0642i | 0.283776 | − | 0.357655i | ||||
\(958\) | −39.7433 | − | 16.6829i | −1.28405 | − | 0.539000i | ||||
\(959\) | −0.346833 | − | 0.251989i | −0.0111998 | − | 0.00813714i | ||||
\(960\) | −29.2390 | + | 10.2510i | −0.943684 | + | 0.330848i | ||||
\(961\) | 0.569884 | − | 0.414045i | 0.0183834 | − | 0.0133563i | ||||
\(962\) | −6.08477 | + | 1.43042i | −0.196181 | + | 0.0461185i | ||||
\(963\) | 33.0027 | + | 13.9133i | 1.06350 | + | 0.448351i | ||||
\(964\) | 39.4644 | + | 40.2182i | 1.27106 | + | 1.29534i | ||||
\(965\) | −3.89431 | − | 15.1937i | −0.125362 | − | 0.489103i | ||||
\(966\) | 0.181809 | − | 0.386352i | 0.00584962 | − | 0.0124307i | ||||
\(967\) | −5.71454 | − | 17.5876i | −0.183767 | − | 0.565578i | 0.816158 | − | 0.577829i | \(-0.196100\pi\) |
−0.999925 | + | 0.0122516i | \(0.996100\pi\) | |||||||
\(968\) | 24.2671 | + | 15.3488i | 0.779974 | + | 0.493328i | ||||
\(969\) | −26.3453 | − | 9.81328i | −0.846334 | − | 0.315248i | ||||
\(970\) | −2.44441 | + | 16.5636i | −0.0784853 | + | 0.531825i | ||||
\(971\) | −8.55481 | + | 26.3290i | −0.274537 | + | 0.844938i | 0.714805 | + | 0.699324i | \(0.246516\pi\) |
−0.989342 | + | 0.145613i | \(0.953484\pi\) | |||||||
\(972\) | 28.9694 | + | 11.5227i | 0.929194 | + | 0.369592i | ||||
\(973\) | −1.59453 | − | 2.19468i | −0.0511183 | − | 0.0703583i | ||||
\(974\) | 28.9011 | − | 33.5165i | 0.926049 | − | 1.07394i | ||||
\(975\) | −4.16216 | − | 8.41321i | −0.133296 | − | 0.269438i | ||||
\(976\) | 14.4047 | − | 4.38086i | 0.461083 | − | 0.140228i | ||||
\(977\) | 22.1731 | − | 16.1097i | 0.709380 | − | 0.515395i | −0.173593 | − | 0.984817i | \(-0.555538\pi\) |
0.882974 | + | 0.469422i | \(0.155538\pi\) | |||||||
\(978\) | 3.97288 | − | 31.4455i | 0.127039 | − | 1.00552i | ||||
\(979\) | 2.34489 | + | 0.761899i | 0.0749429 | + | 0.0243504i | ||||
\(980\) | 31.0974 | − | 2.62991i | 0.993369 | − | 0.0840094i | ||||
\(981\) | −24.2883 | + | 14.6752i | −0.775467 | + | 0.468542i | ||||
\(982\) | −32.2623 | + | 37.4145i | −1.02953 | + | 1.19395i | ||||
\(983\) | 20.1630 | − | 6.55137i | 0.643101 | − | 0.208956i | 0.0307313 | − | 0.999528i | \(-0.490216\pi\) |
0.612370 | + | 0.790571i | \(0.290216\pi\) | |||||||
\(984\) | 44.7463 | + | 13.4609i | 1.42646 | + | 0.429118i | ||||
\(985\) | 2.87459 | − | 45.3874i | 0.0915919 | − | 1.44616i | ||||
\(986\) | −36.2986 | − | 3.02959i | −1.15598 | − | 0.0964817i | ||||
\(987\) | 1.84467 | − | 0.514012i | 0.0587166 | − | 0.0163612i | ||||
\(988\) | 5.59296 | − | 10.7248i | 0.177936 | − | 0.341200i | ||||
\(989\) | −3.27206 | − | 4.50360i | −0.104045 | − | 0.143206i | ||||
\(990\) | 8.05755 | − | 3.37809i | 0.256086 | − | 0.107363i | ||||
\(991\) | −14.7116 | + | 20.2488i | −0.467330 | + | 0.643224i | −0.976009 | − | 0.217732i | \(-0.930134\pi\) |
0.508679 | + | 0.860956i | \(0.330134\pi\) | |||||||
\(992\) | 3.24929 | − | 31.6857i | 0.103165 | − | 1.00602i | ||||
\(993\) | −15.6601 | + | 19.7371i | −0.496957 | + | 0.626337i | ||||
\(994\) | −1.08759 | − | 0.456533i | −0.0344962 | − | 0.0144803i | ||||
\(995\) | −0.0278310 | − | 0.108583i | −0.000882301 | − | 0.00344231i | ||||
\(996\) | 36.7027 | − | 33.0801i | 1.16297 | − | 1.04818i | ||||
\(997\) | −33.8647 | − | 11.0033i | −1.07250 | − | 0.348478i | −0.281042 | − | 0.959695i | \(-0.590680\pi\) |
−0.791463 | + | 0.611218i | \(0.790680\pi\) | |||||||
\(998\) | 18.5367 | + | 1.54713i | 0.586770 | + | 0.0489735i | ||||
\(999\) | 19.1588 | + | 9.05183i | 0.606156 | + | 0.286387i |
(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 | 300.2.r.a.239.27 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.239.30 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.239.5 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.239.52 | yes | 224 | |
25.9 | even | 10 | inner | 300.2.r.a.59.52 | yes | 224 | |
75.59 | odd | 10 | inner | 300.2.r.a.59.5 | ✓ | 224 | |
100.59 | odd | 10 | inner | 300.2.r.a.59.30 | yes | 224 | |
300.59 | even | 10 | inner | 300.2.r.a.59.27 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.59.5 | ✓ | 224 | 75.59 | odd | 10 | inner | |
300.2.r.a.59.27 | yes | 224 | 300.59 | even | 10 | inner | |
300.2.r.a.59.30 | yes | 224 | 100.59 | odd | 10 | inner | |
300.2.r.a.59.52 | yes | 224 | 25.9 | even | 10 | inner | |
300.2.r.a.239.5 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.239.27 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.239.30 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.239.52 | yes | 224 | 12.11 | even | 2 | inner |