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 | 59.5 | ||
Character | \(\chi\) | \(=\) | 300.59 |
Dual form | 300.2.r.a.239.5 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.37668 | + | 0.323633i | −0.973463 | + | 0.228843i | ||||
\(3\) | −1.44316 | − | 0.957755i | −0.833208 | − | 0.552960i | ||||
\(4\) | 1.79052 | − | 0.891082i | 0.895261 | − | 0.445541i | ||||
\(5\) | 2.16605 | + | 0.555182i | 0.968687 | + | 0.248285i | ||||
\(6\) | 2.29674 | + | 0.851472i | 0.937638 | + | 0.347612i | ||||
\(7\) | 0.146941 | 0.0555385 | 0.0277693 | − | 0.999614i | \(-0.491160\pi\) | ||||
0.0277693 | + | 0.999614i | \(0.491160\pi\) | |||||||
\(8\) | −2.17660 | + | 1.80621i | −0.769545 | + | 0.638593i | ||||
\(9\) | 1.16541 | + | 2.76438i | 0.388471 | + | 0.921461i | ||||
\(10\) | −3.16164 | − | 0.0633046i | −0.999800 | − | 0.0200187i | ||||
\(11\) | −0.745075 | − | 0.541329i | −0.224649 | − | 0.163217i | 0.469768 | − | 0.882790i | \(-0.344338\pi\) |
−0.694417 | + | 0.719573i | \(0.744338\pi\) | |||||||
\(12\) | −3.43745 | − | 0.428909i | −0.992305 | − | 0.123815i | ||||
\(13\) | 0.637074 | + | 0.876857i | 0.176693 | + | 0.243196i | 0.888173 | − | 0.459510i | \(-0.151975\pi\) |
−0.711480 | + | 0.702706i | \(0.751975\pi\) | |||||||
\(14\) | −0.202292 | + | 0.0475550i | −0.0540647 | + | 0.0127096i | ||||
\(15\) | −2.59423 | − | 2.87576i | −0.669826 | − | 0.742518i | ||||
\(16\) | 2.41194 | − | 3.19101i | 0.602986 | − | 0.797752i | ||||
\(17\) | 0.898908 | − | 2.76655i | 0.218017 | − | 0.670988i | −0.780908 | − | 0.624646i | \(-0.785243\pi\) |
0.998926 | − | 0.0463424i | \(-0.0147565\pi\) | |||||||
\(18\) | −2.49905 | − | 3.42852i | −0.589032 | − | 0.808110i | ||||
\(19\) | 5.30677 | + | 1.72427i | 1.21746 | + | 0.395575i | 0.846155 | − | 0.532937i | \(-0.178912\pi\) |
0.371301 | + | 0.928513i | \(0.378912\pi\) | |||||||
\(20\) | 4.37308 | − | 0.936063i | 0.977849 | − | 0.209310i | ||||
\(21\) | −0.212059 | − | 0.140734i | −0.0462751 | − | 0.0307106i | ||||
\(22\) | 1.20093 | + | 0.504108i | 0.256038 | + | 0.107476i | ||||
\(23\) | −0.697301 | + | 0.959752i | −0.145397 | + | 0.200122i | −0.875504 | − | 0.483211i | \(-0.839470\pi\) |
0.730107 | + | 0.683333i | \(0.239470\pi\) | |||||||
\(24\) | 4.87109 | − | 0.522000i | 0.994307 | − | 0.106553i | ||||
\(25\) | 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 | ||||
\(28\) | 0.263101 | − | 0.130937i | 0.0497215 | − | 0.0247447i | ||||
\(29\) | 8.42084 | − | 2.73610i | 1.56371 | − | 0.508081i | 0.605915 | − | 0.795529i | \(-0.292807\pi\) |
0.957796 | + | 0.287449i | \(0.0928070\pi\) | |||||||
\(30\) | 4.50212 | + | 3.11944i | 0.821971 | + | 0.569529i | ||||
\(31\) | 5.35508 | + | 1.73997i | 0.961801 | + | 0.312508i | 0.747502 | − | 0.664260i | \(-0.231253\pi\) |
0.214300 | + | 0.976768i | \(0.431253\pi\) | |||||||
\(32\) | −2.28777 | + | 5.17360i | −0.404425 | + | 0.914571i | ||||
\(33\) | 0.556801 | + | 1.49482i | 0.0969266 | + | 0.260215i | ||||
\(34\) | −0.342164 | + | 4.09959i | −0.0586806 | + | 0.703074i | ||||
\(35\) | 0.318282 | + | 0.0815791i | 0.0537994 | + | 0.0137894i | ||||
\(36\) | 4.54999 | + | 3.91121i | 0.758332 | + | 0.651869i | ||||
\(37\) | −2.39694 | − | 3.29910i | −0.394054 | − | 0.542369i | 0.565185 | − | 0.824964i | \(-0.308805\pi\) |
−0.959239 | + | 0.282595i | \(0.908805\pi\) | |||||||
\(38\) | −7.86378 | − | 0.656334i | −1.27567 | − | 0.106471i | ||||
\(39\) | −0.0795846 | − | 1.87560i | −0.0127437 | − | 0.300337i | ||||
\(40\) | −5.71741 | + | 2.70394i | −0.904001 | + | 0.427530i | ||||
\(41\) | −5.60638 | − | 7.71652i | −0.875569 | − | 1.20512i | −0.977628 | − | 0.210339i | \(-0.932543\pi\) |
0.102059 | − | 0.994778i | \(-0.467457\pi\) | |||||||
\(42\) | 0.337485 | + | 0.125116i | 0.0520751 | + | 0.0193059i | ||||
\(43\) | 4.69246 | 0.715594 | 0.357797 | − | 0.933799i | \(-0.383528\pi\) | ||||
0.357797 | + | 0.933799i | \(0.383528\pi\) | |||||||
\(44\) | −1.81644 | − | 0.305338i | −0.273839 | − | 0.0460315i | ||||
\(45\) | 0.989605 | + | 6.63481i | 0.147522 | + | 0.989059i | ||||
\(46\) | 0.649356 | − | 1.54695i | 0.0957423 | − | 0.228085i | ||||
\(47\) | 7.15582 | − | 2.32507i | 1.04378 | − | 0.339146i | 0.263558 | − | 0.964644i | \(-0.415104\pi\) |
0.780226 | + | 0.625498i | \(0.215104\pi\) | |||||||
\(48\) | −6.53702 | + | 2.29508i | −0.943537 | + | 0.331266i | ||||
\(49\) | −6.97841 | −0.996915 | ||||||||
\(50\) | −6.81313 | − | 1.89241i | −0.963523 | − | 0.267627i | ||||
\(51\) | −3.94695 | + | 3.13164i | −0.552683 | + | 0.438518i | ||||
\(52\) | 1.92205 | + | 1.00235i | 0.266540 | + | 0.139001i | ||||
\(53\) | 1.73582 | + | 5.34231i | 0.238434 | + | 0.733823i | 0.996647 | + | 0.0818172i | \(0.0260724\pi\) |
−0.758214 | + | 0.652006i | \(0.773928\pi\) | |||||||
\(54\) | 0.322847 | + | 7.34137i | 0.0439340 | + | 0.999034i | ||||
\(55\) | −1.31333 | − | 1.58620i | −0.177090 | − | 0.213883i | ||||
\(56\) | −0.319832 | + | 0.265407i | −0.0427394 | + | 0.0354665i | ||||
\(57\) | −6.00707 | − | 7.57098i | −0.795656 | − | 1.00280i | ||||
\(58\) | −10.7074 | + | 6.49201i | −1.40594 | + | 0.852443i | ||||
\(59\) | −8.62564 | + | 6.26690i | −1.12296 | + | 0.815880i | −0.984656 | − | 0.174509i | \(-0.944166\pi\) |
−0.138307 | + | 0.990389i | \(0.544166\pi\) | |||||||
\(60\) | −7.20756 | − | 2.83745i | −0.930492 | − | 0.366313i | ||||
\(61\) | 3.04517 | + | 2.21244i | 0.389894 | + | 0.283274i | 0.765412 | − | 0.643541i | \(-0.222535\pi\) |
−0.375518 | + | 0.926815i | \(0.622535\pi\) | |||||||
\(62\) | −7.93538 | − | 0.662310i | −1.00779 | − | 0.0841134i | ||||
\(63\) | 0.171247 | + | 0.406202i | 0.0215751 | + | 0.0511766i | ||||
\(64\) | 1.47519 | − | 7.86281i | 0.184399 | − | 0.982851i | ||||
\(65\) | 0.893119 | + | 2.25301i | 0.110778 | + | 0.279451i | ||||
\(66\) | −1.25031 | − | 1.87770i | −0.153903 | − | 0.231129i | ||||
\(67\) | 2.55608 | − | 7.86680i | 0.312275 | − | 0.961083i | −0.664587 | − | 0.747211i | \(-0.731392\pi\) |
0.976862 | − | 0.213872i | \(-0.0686075\pi\) | |||||||
\(68\) | −0.855712 | − | 5.75458i | −0.103770 | − | 0.697845i | ||||
\(69\) | 1.92552 | − | 0.717231i | 0.231806 | − | 0.0863445i | ||||
\(70\) | −0.464576 | − | 0.00930204i | −0.0555274 | − | 0.00111181i | ||||
\(71\) | −1.75400 | − | 5.39826i | −0.208162 | − | 0.640656i | −0.999569 | − | 0.0293663i | \(-0.990651\pi\) |
0.791407 | − | 0.611290i | \(-0.209349\pi\) | |||||||
\(72\) | −7.52970 | − | 3.91198i | −0.887384 | − | 0.461031i | ||||
\(73\) | −9.19992 | + | 12.6626i | −1.07677 | + | 1.48205i | −0.213742 | + | 0.976890i | \(0.568565\pi\) |
−0.863028 | + | 0.505156i | \(0.831435\pi\) | |||||||
\(74\) | 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 | ||||
\(78\) | 0.716571 | + | 2.55636i | 0.0811357 | + | 0.289451i | ||||
\(79\) | −14.8258 | + | 4.81719i | −1.66803 | + | 0.541976i | −0.982531 | − | 0.186097i | \(-0.940416\pi\) |
−0.685500 | + | 0.728073i | \(0.740416\pi\) | |||||||
\(80\) | 6.99598 | − | 5.57281i | 0.782175 | − | 0.623059i | ||||
\(81\) | −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 | \(-0.113784\pi\) |
0.552211 | + | 0.833705i | \(0.313784\pi\) | |||||||
\(84\) | −0.505102 | − | 0.0630243i | −0.0551112 | − | 0.00687652i | ||||
\(85\) | 3.48302 | − | 5.49344i | 0.377787 | − | 0.595847i | ||||
\(86\) | −6.46004 | + | 1.51864i | −0.696604 | + | 0.163759i | ||||
\(87\) | −14.7731 | − | 4.11648i | −1.58384 | − | 0.441333i | ||||
\(88\) | 2.59949 | − | 0.167507i | 0.277106 | − | 0.0178563i | ||||
\(89\) | 1.57359 | − | 2.16586i | 0.166800 | − | 0.229581i | −0.717432 | − | 0.696629i | \(-0.754682\pi\) |
0.884232 | + | 0.467048i | \(0.154682\pi\) | |||||||
\(90\) | −3.50962 | − | 8.81377i | −0.369946 | − | 0.929053i | ||||
\(91\) | 0.0936124 | + | 0.128846i | 0.00981324 | + | 0.0135068i | ||||
\(92\) | −0.393315 | + | 2.33981i | −0.0410059 | + | 0.243942i | ||||
\(93\) | −6.06177 | − | 7.63991i | −0.628576 | − | 0.792222i | ||||
\(94\) | −9.09884 | + | 5.51675i | −0.938474 | + | 0.569009i | ||||
\(95\) | 10.5374 | + | 6.68108i | 1.08112 | + | 0.685464i | ||||
\(96\) | 8.25665 | − | 5.27519i | 0.842691 | − | 0.538397i | ||||
\(97\) | 5.03546 | − | 1.63612i | 0.511273 | − | 0.166123i | −0.0420079 | − | 0.999117i | \(-0.513375\pi\) |
0.553281 | + | 0.832994i | \(0.313375\pi\) | |||||||
\(98\) | 9.60707 | − | 2.25845i | 0.970461 | − | 0.228137i | ||||
\(99\) | 0.628121 | − | 2.69054i | 0.0631285 | − | 0.270410i | ||||
\(100\) | 9.99199 | + | 0.400293i | 0.999199 | + | 0.0400293i | ||||
\(101\) | − | 4.07998i | − | 0.405973i | −0.979182 | − | 0.202987i | \(-0.934935\pi\) | ||
0.979182 | − | 0.202987i | \(-0.0650648\pi\) | |||||||
\(102\) | 4.42020 | − | 5.58865i | 0.437665 | − | 0.553359i | ||||
\(103\) | −0.378305 | − | 1.16430i | −0.0372755 | − | 0.114722i | 0.930687 | − | 0.365816i | \(-0.119210\pi\) |
−0.967963 | + | 0.251093i | \(0.919210\pi\) | |||||||
\(104\) | −2.97045 | − | 0.757878i | −0.291276 | − | 0.0743160i | ||||
\(105\) | −0.381198 | − | 0.422567i | −0.0372012 | − | 0.0412384i | ||||
\(106\) | −4.11863 | − | 6.79291i | −0.400037 | − | 0.659786i | ||||
\(107\) | 11.9386i | 1.15414i | 0.816693 | + | 0.577072i | \(0.195805\pi\) | ||||
−0.816693 | + | 0.577072i | \(0.804195\pi\) | |||||||
\(108\) | −2.82037 | − | 10.0023i | −0.271390 | − | 0.962469i | ||||
\(109\) | −7.65264 | + | 5.55996i | −0.732990 | + | 0.532548i | −0.890508 | − | 0.454968i | \(-0.849651\pi\) |
0.157518 | + | 0.987516i | \(0.449651\pi\) | |||||||
\(110\) | 2.32139 | + | 1.75866i | 0.221336 | + | 0.167681i | ||||
\(111\) | 0.299431 | + | 7.05681i | 0.0284207 | + | 0.669803i | ||||
\(112\) | 0.354414 | − | 0.468890i | 0.0334890 | − | 0.0443059i | ||||
\(113\) | −9.66884 | + | 7.02482i | −0.909568 | + | 0.660840i | −0.940906 | − | 0.338669i | \(-0.890023\pi\) |
0.0313375 | + | 0.999509i | \(0.490023\pi\) | |||||||
\(114\) | 10.7201 | + | 8.47876i | 1.00403 | + | 0.794109i | ||||
\(115\) | −2.04323 | + | 1.69174i | −0.190532 | + | 0.157756i | ||||
\(116\) | 12.6396 | − | 12.4027i | 1.17356 | − | 1.15156i | ||||
\(117\) | −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 | ||||
\(120\) | 10.8408 | + | 1.57366i | 0.989628 | + | 0.143655i | ||||
\(121\) | −3.13709 | − | 9.65496i | −0.285190 | − | 0.877724i | ||||
\(122\) | −4.90826 | − | 2.06032i | −0.444373 | − | 0.186533i | ||||
\(123\) | 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 | ||||
\(126\) | −0.367213 | − | 0.503790i | −0.0327140 | − | 0.0448812i | ||||
\(127\) | −8.70175 | − | 6.32219i | −0.772155 | − | 0.561004i | 0.130459 | − | 0.991454i | \(-0.458355\pi\) |
−0.902614 | + | 0.430450i | \(0.858355\pi\) | |||||||
\(128\) | 0.513793 | + | 11.3020i | 0.0454133 | + | 0.998968i | ||||
\(129\) | −6.77196 | − | 4.49423i | −0.596238 | − | 0.395695i | ||||
\(130\) | −1.95869 | − | 2.81264i | −0.171789 | − | 0.246685i | ||||
\(131\) | −2.17567 | + | 6.69603i | −0.190089 | + | 0.585035i | −0.999999 | − | 0.00151987i | \(-0.999516\pi\) |
0.809909 | + | 0.586555i | \(0.199516\pi\) | |||||||
\(132\) | 2.32898 | + | 2.18036i | 0.202711 | + | 0.189776i | ||||
\(133\) | 0.779782 | + | 0.253367i | 0.0676157 | + | 0.0219697i | ||||
\(134\) | −0.972956 | + | 11.6573i | −0.0840506 | + | 1.00704i | ||||
\(135\) | 4.92636 | − | 10.5229i | 0.423994 | − | 0.905665i | ||||
\(136\) | 3.04042 | + | 7.64531i | 0.260714 | + | 0.655580i | ||||
\(137\) | 2.36035 | − | 1.71490i | 0.201658 | − | 0.146513i | −0.482373 | − | 0.875966i | \(-0.660225\pi\) |
0.684032 | + | 0.729452i | \(0.260225\pi\) | |||||||
\(138\) | −2.41872 | + | 1.61056i | −0.205895 | + | 0.137100i | ||||
\(139\) | −10.8515 | + | 14.9358i | −0.920411 | + | 1.26684i | 0.0430731 | + | 0.999072i | \(0.486285\pi\) |
−0.963484 | + | 0.267765i | \(0.913715\pi\) | |||||||
\(140\) | 0.642585 | − | 0.137546i | 0.0543083 | − | 0.0116248i | ||||
\(141\) | −12.5538 | − | 3.49808i | −1.05722 | − | 0.294592i | ||||
\(142\) | 4.16177 | + | 6.86405i | 0.349248 | + | 0.576019i | ||||
\(143\) | − | 0.998191i | − | 0.0834729i | ||||||
\(144\) | 11.6321 | + | 2.94870i | 0.969340 | + | 0.245725i | ||||
\(145\) | 19.7590 | − | 1.25143i | 1.64090 | − | 0.103925i | ||||
\(146\) | 8.56736 | − | 20.4098i | 0.709039 | − | 1.68913i | ||||
\(147\) | 10.0709 | + | 6.68360i | 0.830638 | + | 0.551254i | ||||
\(148\) | −7.23155 | − | 3.77125i | −0.594430 | − | 0.309995i | ||||
\(149\) | 0.291492i | 0.0238800i | 0.999929 | + | 0.0119400i | \(0.00380070\pi\) | ||||
−0.999929 | + | 0.0119400i | \(0.996199\pi\) | |||||||
\(150\) | 8.01997 | + | 9.25636i | 0.654828 | + | 0.755778i | ||||
\(151\) | 7.97245i | 0.648789i | 0.945922 | + | 0.324394i | \(0.105160\pi\) | ||||
−0.945922 | + | 0.324394i | \(0.894840\pi\) | |||||||
\(152\) | −14.6651 | + | 5.83209i | −1.18950 | + | 0.473045i | ||||
\(153\) | 8.69541 | − | 0.739249i | 0.702983 | − | 0.0597647i | ||||
\(154\) | 0.176465 | + | 0.0740742i | 0.0142200 | + | 0.00596907i | ||||
\(155\) | 10.6334 | + | 6.74191i | 0.854093 | + | 0.541523i | ||||
\(156\) | −1.81382 | − | 3.28740i | −0.145221 | − | 0.263202i | ||||
\(157\) | − | 15.7367i | − | 1.25593i | −0.778243 | − | 0.627963i | \(-0.783889\pi\) | ||
0.778243 | − | 0.627963i | \(-0.216111\pi\) | |||||||
\(158\) | 18.8514 | − | 11.4299i | 1.49974 | − | 0.909312i | ||||
\(159\) | 2.61156 | − | 9.37230i | 0.207110 | − | 0.743272i | ||||
\(160\) | −7.82772 | + | 9.93614i | −0.618835 | + | 0.785521i | ||||
\(161\) | −0.102462 | + | 0.141027i | −0.00807515 | + | 0.0111145i | ||||
\(162\) | 6.56532 | − | 10.9040i | 0.515820 | − | 0.856697i | ||||
\(163\) | 10.4684 | − | 7.60573i | 0.819947 | − | 0.595726i | −0.0967503 | − | 0.995309i | \(-0.530845\pi\) |
0.916697 | + | 0.399582i | \(0.130845\pi\) | |||||||
\(164\) | −16.9144 | − | 8.82086i | −1.32079 | − | 0.688793i | ||||
\(165\) | 0.376161 | + | 3.54699i | 0.0292841 | + | 0.276132i | ||||
\(166\) | −20.1018 | − | 1.67775i | −1.56020 | − | 0.130219i | ||||
\(167\) | −15.5039 | − | 5.03753i | −1.19973 | − | 0.389816i | −0.360068 | − | 0.932926i | \(-0.617247\pi\) |
−0.839662 | + | 0.543110i | \(0.817247\pi\) | |||||||
\(168\) | 0.715763 | − | 0.0767032i | 0.0552223 | − | 0.00591778i | ||||
\(169\) | 3.65421 | − | 11.2465i | 0.281093 | − | 0.865115i | ||||
\(170\) | −3.01716 | + | 8.68995i | −0.231406 | + | 0.666489i | ||||
\(171\) | 1.41802 | + | 16.6794i | 0.108438 | + | 1.27551i | ||||
\(172\) | 8.40196 | − | 4.18137i | 0.640643 | − | 0.318826i | ||||
\(173\) | −5.38601 | − | 3.91317i | −0.409491 | − | 0.297512i | 0.363905 | − | 0.931436i | \(-0.381443\pi\) |
−0.773396 | + | 0.633924i | \(0.781443\pi\) | |||||||
\(174\) | 21.6702 | + | 0.886021i | 1.64281 | + | 0.0671691i | ||||
\(175\) | 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 | ||||
\(178\) | −1.46539 | + | 3.49097i | −0.109836 | + | 0.261660i | ||||
\(179\) | −3.59156 | − | 11.0537i | −0.268446 | − | 0.826192i | −0.990879 | − | 0.134751i | \(-0.956976\pi\) |
0.722434 | − | 0.691440i | \(-0.243024\pi\) | |||||||
\(180\) | 7.68407 | + | 10.9980i | 0.572737 | + | 0.819739i | ||||
\(181\) | 2.54354 | − | 7.82821i | 0.189060 | − | 0.581866i | −0.810935 | − | 0.585136i | \(-0.801041\pi\) |
0.999995 | + | 0.00327021i | \(0.00104094\pi\) | |||||||
\(182\) | −0.170574 | − | 0.147085i | −0.0126438 | − | 0.0109026i | ||||
\(183\) | −2.27568 | − | 6.10943i | −0.168223 | − | 0.451622i | ||||
\(184\) | −0.215770 | − | 3.34847i | −0.0159068 | − | 0.246853i | ||||
\(185\) | −3.36029 | − | 8.47676i | −0.247053 | − | 0.623224i | ||||
\(186\) | 10.8177 | + | 8.55596i | 0.793190 | + | 0.627353i | ||||
\(187\) | −2.16737 | + | 1.57469i | −0.158494 | + | 0.115152i | ||||
\(188\) | 10.7408 | − | 10.5395i | 0.783356 | − | 0.768673i | ||||
\(189\) | 0.141905 | − | 0.750226i | 0.0103221 | − | 0.0545709i | ||||
\(190\) | −16.6689 | − | 5.78748i | −1.20929 | − | 0.419868i | ||||
\(191\) | −1.14157 | + | 0.829402i | −0.0826014 | + | 0.0600134i | −0.628320 | − | 0.777955i | \(-0.716257\pi\) |
0.545718 | + | 0.837969i | \(0.316257\pi\) | |||||||
\(192\) | −9.65958 | + | 9.93441i | −0.697120 | + | 0.716954i | ||||
\(193\) | 7.01448i | 0.504914i | 0.967608 | + | 0.252457i | \(0.0812385\pi\) | ||||
−0.967608 | + | 0.252457i | \(0.918761\pi\) | |||||||
\(194\) | −6.40274 | + | 3.88206i | −0.459690 | + | 0.278716i | ||||
\(195\) | 0.868917 | − | 4.10684i | 0.0622245 | − | 0.294097i | ||||
\(196\) | −12.4950 | + | 6.21834i | −0.892500 | + | 0.444167i | ||||
\(197\) | 6.28495 | + | 19.3431i | 0.447784 | + | 1.37814i | 0.879401 | + | 0.476082i | \(0.157943\pi\) |
−0.431617 | + | 0.902057i | \(0.642057\pi\) | |||||||
\(198\) | 0.00602542 | + | 3.90731i | 0.000428208 | + | 0.277681i | ||||
\(199\) | − | 0.0501295i | − | 0.00355358i | −0.999998 | − | 0.00177679i | \(-0.999434\pi\) | ||
0.999998 | − | 0.00177679i | \(-0.000565571\pi\) | |||||||
\(200\) | −13.8854 | + | 2.68266i | −0.981843 | + | 0.189693i | ||||
\(201\) | −11.2233 | + | 8.90494i | −0.791630 | + | 0.628106i | ||||
\(202\) | 1.32042 | + | 5.61685i | 0.0929042 | + | 0.395200i | ||||
\(203\) | 1.23737 | − | 0.402045i | 0.0868462 | − | 0.0282180i | ||||
\(204\) | −4.27655 | + | 9.12433i | −0.299418 | + | 0.638831i | ||||
\(205\) | −7.85963 | − | 19.8269i | −0.548940 | − | 1.38477i | ||||
\(206\) | 0.897615 | + | 1.48045i | 0.0625398 | + | 0.103148i | ||||
\(207\) | −3.46577 | − | 0.809100i | −0.240887 | − | 0.0562363i | ||||
\(208\) | 4.33464 | + | 0.0820235i | 0.300553 | + | 0.00568731i | ||||
\(209\) | −3.02054 | − | 4.15742i | −0.208935 | − | 0.287575i | ||||
\(210\) | 0.661547 | + | 0.458374i | 0.0456511 | + | 0.0316308i | ||||
\(211\) | 8.60830 | − | 11.8483i | 0.592620 | − | 0.815671i | −0.402388 | − | 0.915469i | \(-0.631820\pi\) |
0.995008 | + | 0.0997982i | \(0.0318197\pi\) | |||||||
\(212\) | 7.86847 | + | 8.01878i | 0.540409 | + | 0.550732i | ||||
\(213\) | −2.63891 | + | 9.47045i | −0.180815 | + | 0.648905i | ||||
\(214\) | −3.86371 | − | 16.4356i | −0.264118 | − | 1.12352i | ||||
\(215\) | 10.1641 | + | 2.60517i | 0.693186 | + | 0.177671i | ||||
\(216\) | 7.11983 | + | 12.8572i | 0.484443 | + | 0.874823i | ||||
\(217\) | 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 | ||||
\(220\) | −3.76499 | − | 1.66983i | −0.253835 | − | 0.112580i | ||||
\(221\) | 2.99854 | − | 0.974286i | 0.201704 | − | 0.0655376i | ||||
\(222\) | −2.69604 | − | 9.61810i | −0.180946 | − | 0.645524i | ||||
\(223\) | −23.7828 | − | 17.2792i | −1.59261 | − | 1.15710i | −0.900089 | − | 0.435707i | \(-0.856498\pi\) |
−0.692525 | − | 0.721394i | \(-0.743502\pi\) | |||||||
\(224\) | −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 | \(-0.903310\pi\) |
0.579341 | + | 0.815085i | \(0.303310\pi\) | |||||||
\(228\) | −17.5022 | − | 8.20321i | −1.15911 | − | 0.543271i | ||||
\(229\) | 2.57814 | + | 7.93469i | 0.170368 | + | 0.524339i | 0.999392 | − | 0.0348746i | \(-0.0111032\pi\) |
−0.829024 | + | 0.559214i | \(0.811103\pi\) | |||||||
\(230\) | 2.26537 | − | 2.99025i | 0.149374 | − | 0.197171i | ||||
\(231\) | 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 | −0.654446 | − | 0.756109i | \(-0.727098\pi\) |
0.973887 | − | 0.227031i | \(-0.0729020\pi\) | |||||||
\(234\) | 1.41424 | − | 4.37553i | 0.0924518 | − | 0.286037i | ||||
\(235\) | 16.7907 | − | 1.06343i | 1.09530 | − | 0.0693705i | ||||
\(236\) | −9.86009 | + | 18.9072i | −0.641837 | + | 1.23075i | ||||
\(237\) | 26.0096 | + | 7.24750i | 1.68951 | + | 0.470776i | ||||
\(238\) | −0.0502779 | + | 0.602398i | −0.00325903 | + | 0.0390477i | ||||
\(239\) | −14.6621 | − | 10.6526i | −0.948412 | − | 0.689062i | 0.00201847 | − | 0.999998i | \(-0.499357\pi\) |
−0.950431 | + | 0.310936i | \(0.899357\pi\) | |||||||
\(240\) | −15.4337 | + | 1.34202i | −0.996241 | + | 0.0866267i | ||||
\(241\) | −22.7927 | + | 16.5599i | −1.46821 | + | 1.06671i | −0.487078 | + | 0.873359i | \(0.661937\pi\) |
−0.981129 | + | 0.193356i | \(0.938063\pi\) | |||||||
\(242\) | 7.44345 | + | 12.2766i | 0.478483 | + | 0.789168i | ||||
\(243\) | 15.2394 | − | 3.28051i | 0.977606 | − | 0.210445i | ||||
\(244\) | 7.42391 | + | 1.24794i | 0.475267 | + | 0.0798909i | ||||
\(245\) | −15.1156 | − | 3.87429i | −0.965699 | − | 0.247519i | ||||
\(246\) | −6.30597 | − | 22.4965i | −0.402054 | − | 1.43432i | ||||
\(247\) | 1.86886 | + | 5.75176i | 0.118913 | + | 0.365976i | ||||
\(248\) | −14.7986 | + | 5.88519i | −0.939715 | + | 0.373710i | ||||
\(249\) | −15.3556 | − | 19.3533i | −0.973120 | − | 1.22647i | ||||
\(250\) | −13.7070 | − | 7.88158i | −0.866904 | − | 0.498475i | ||||
\(251\) | 0.635553 | 0.0401157 | 0.0200579 | − | 0.999799i | \(-0.493615\pi\) | ||||
0.0200579 | + | 0.999799i | \(0.493615\pi\) | |||||||
\(252\) | 0.668581 | + | 0.574718i | 0.0421166 | + | 0.0362038i | ||||
\(253\) | 1.03908 | − | 0.337619i | 0.0653266 | − | 0.0212259i | ||||
\(254\) | 14.0256 | + | 5.88749i | 0.880047 | + | 0.369414i | ||||
\(255\) | −10.2879 | + | 4.59202i | −0.644254 | + | 0.287563i | ||||
\(256\) | −4.36505 | − | 15.3931i | −0.272815 | − | 0.962066i | ||||
\(257\) | −5.02373 | −0.313371 | −0.156686 | − | 0.987649i | \(-0.550081\pi\) | ||||
−0.156686 | + | 0.987649i | \(0.550081\pi\) | |||||||
\(258\) | 10.7773 | + | 3.99550i | 0.670968 | + | 0.248749i | ||||
\(259\) | −0.352209 | − | 0.484774i | −0.0218852 | − | 0.0301224i | ||||
\(260\) | 3.60677 | + | 3.23822i | 0.223682 | + | 0.200826i | ||||
\(261\) | 17.3774 | + | 20.0898i | 1.07563 | + | 1.24352i | ||||
\(262\) | 0.828157 | − | 9.92245i | 0.0511637 | − | 0.613011i | ||||
\(263\) | −5.88016 | − | 8.09334i | −0.362586 | − | 0.499057i | 0.588281 | − | 0.808657i | \(-0.299805\pi\) |
−0.950867 | + | 0.309600i | \(0.899805\pi\) | |||||||
\(264\) | −3.91190 | − | 2.24793i | −0.240761 | − | 0.138351i | ||||
\(265\) | 0.793924 | + | 12.5354i | 0.0487703 | + | 0.770045i | ||||
\(266\) | −1.15551 | − | 0.0964424i | −0.0708490 | − | 0.00591327i | ||||
\(267\) | −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 | −0.394545 | − | 0.918877i | \(-0.629098\pi\) |
−0.859296 | + | 0.511479i | \(0.829098\pi\) | |||||||
\(270\) | −3.37649 | + | 16.0810i | −0.205487 | + | 0.978660i | ||||
\(271\) | 8.68144 | − | 2.82077i | 0.527360 | − | 0.171350i | −0.0332231 | − | 0.999448i | \(-0.510577\pi\) |
0.560583 | + | 0.828098i | \(0.310577\pi\) | |||||||
\(272\) | −6.65998 | − | 9.54120i | −0.403820 | − | 0.578520i | ||||
\(273\) | −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 | ||||
\(276\) | 2.80858 | − | 3.00002i | 0.169057 | − | 0.180580i | ||||
\(277\) | −15.4585 | + | 21.2768i | −0.928812 | + | 1.27840i | 0.0315092 | + | 0.999503i | \(0.489969\pi\) |
−0.960321 | + | 0.278897i | \(0.910031\pi\) | |||||||
\(278\) | 10.1054 | − | 24.0738i | 0.606079 | − | 1.44385i | ||||
\(279\) | 1.43093 | + | 16.8313i | 0.0856674 | + | 1.00766i | ||||
\(280\) | −0.840122 | + | 0.397319i | −0.0502069 | + | 0.0237444i | ||||
\(281\) | 20.4876 | + | 6.65683i | 1.22219 | + | 0.397113i | 0.847879 | − | 0.530190i | \(-0.177879\pi\) |
0.374310 | + | 0.927303i | \(0.377879\pi\) | |||||||
\(282\) | 18.4148 | + | 0.752919i | 1.09658 | + | 0.0448357i | ||||
\(283\) | −5.09831 | + | 15.6910i | −0.303063 | + | 0.932732i | 0.677330 | + | 0.735679i | \(0.263137\pi\) |
−0.980393 | + | 0.197053i | \(0.936863\pi\) | |||||||
\(284\) | −7.95088 | − | 8.10275i | −0.471798 | − | 0.480810i | ||||
\(285\) | −8.80835 | − | 19.7341i | −0.521762 | − | 1.16895i | ||||
\(286\) | 0.323048 | + | 1.37419i | 0.0191022 | + | 0.0812578i | ||||
\(287\) | −0.823808 | − | 1.13387i | −0.0486278 | − | 0.0669305i | ||||
\(288\) | −16.9680 | − | 0.294907i | −0.999849 | − | 0.0173776i | ||||
\(289\) | 6.90750 | + | 5.01859i | 0.406324 | + | 0.295211i | ||||
\(290\) | −26.7969 | + | 8.11749i | −1.57357 | + | 0.476675i | ||||
\(291\) | −8.83397 | − | 2.46155i | −0.517856 | − | 0.144299i | ||||
\(292\) | −5.18925 | + | 30.8706i | −0.303678 | + | 1.80656i | ||||
\(293\) | 7.00240 | 0.409085 | 0.204542 | − | 0.978858i | \(-0.434429\pi\) | ||||
0.204542 | + | 0.978858i | \(0.434429\pi\) | |||||||
\(294\) | −16.0276 | − | 5.94192i | −0.934746 | − | 0.346540i | ||||
\(295\) | −22.1628 | + | 8.78561i | −1.29037 | + | 0.511518i | ||||
\(296\) | 11.1761 | + | 2.85145i | 0.649596 | + | 0.165737i | ||||
\(297\) | −3.48336 | + | 3.28130i | −0.202125 | + | 0.190400i | ||||
\(298\) | −0.0943365 | − | 0.401293i | −0.00546477 | − | 0.0232463i | ||||
\(299\) | −1.28580 | −0.0743596 | ||||||||
\(300\) | −14.0366 | − | 10.1476i | −0.810405 | − | 0.585869i | ||||
\(301\) | 0.689516 | 0.0397430 | ||||||||
\(302\) | −2.58015 | − | 10.9756i | −0.148471 | − | 0.631572i | ||||
\(303\) | −3.90762 | + | 5.88806i | −0.224487 | + | 0.338260i | ||||
\(304\) | 18.3018 | − | 12.7751i | 1.04968 | − | 0.732701i | ||||
\(305\) | 5.36768 | + | 6.48288i | 0.307352 | + | 0.371209i | ||||
\(306\) | −11.7316 | + | 3.83184i | −0.670651 | + | 0.219052i | ||||
\(307\) | −6.62875 | −0.378323 | −0.189161 | − | 0.981946i | \(-0.560577\pi\) | ||||
−0.189161 | + | 0.981946i | \(0.560577\pi\) | |||||||
\(308\) | −0.266910 | − | 0.0448668i | −0.0152086 | − | 0.00255652i | ||||
\(309\) | −0.569163 | + | 2.04260i | −0.0323786 | + | 0.116199i | ||||
\(310\) | −16.8207 | − | 5.84017i | −0.955353 | − | 0.331700i | ||||
\(311\) | −19.4742 | − | 14.1488i | −1.10428 | − | 0.802306i | −0.122526 | − | 0.992465i | \(-0.539099\pi\) |
−0.981753 | + | 0.190160i | \(0.939099\pi\) | |||||||
\(312\) | 3.56096 | + | 3.93870i | 0.201600 | + | 0.222985i | ||||
\(313\) | 16.2239 | + | 22.3303i | 0.917030 | + | 1.26218i | 0.964708 | + | 0.263321i | \(0.0848178\pi\) |
−0.0476783 | + | 0.998863i | \(0.515182\pi\) | |||||||
\(314\) | 5.09293 | + | 21.6645i | 0.287410 | + | 1.22260i | ||||
\(315\) | 0.145414 | + | 0.974926i | 0.00819313 | + | 0.0549309i | ||||
\(316\) | −22.2534 | + | 21.8363i | −1.25185 | + | 1.22839i | ||||
\(317\) | 6.14567 | − | 18.9144i | 0.345175 | − | 1.06234i | −0.616315 | − | 0.787500i | \(-0.711375\pi\) |
0.961490 | − | 0.274840i | \(-0.0886249\pi\) | |||||||
\(318\) | −0.562106 | + | 13.7479i | −0.0315213 | + | 0.770943i | ||||
\(319\) | −7.75529 | − | 2.51985i | −0.434213 | − | 0.141084i | ||||
\(320\) | 7.56063 | − | 16.2122i | 0.422652 | − | 0.906292i | ||||
\(321\) | 11.4342 | − | 17.2292i | 0.638195 | − | 0.961642i | ||||
\(322\) | 0.0954171 | − | 0.227310i | 0.00531738 | − | 0.0126675i | ||||
\(323\) | 9.54059 | − | 13.1315i | 0.530852 | − | 0.730656i | ||||
\(324\) | −5.50948 | + | 17.1361i | −0.306082 | + | 0.952005i | ||||
\(325\) | 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 | ||||
\(328\) | 26.1405 | + | 6.66948i | 1.44337 | + | 0.368260i | ||||
\(329\) | 1.05148 | − | 0.341648i | 0.0579702 | − | 0.0188357i | ||||
\(330\) | −1.66578 | − | 4.76134i | −0.0916981 | − | 0.262103i | ||||
\(331\) | 13.8344 | + | 4.49507i | 0.760408 | + | 0.247072i | 0.663454 | − | 0.748217i | \(-0.269090\pi\) |
0.0969543 | + | 0.995289i | \(0.469090\pi\) | |||||||
\(332\) | 28.2168 | − | 4.19587i | 1.54860 | − | 0.230278i | ||||
\(333\) | 6.32657 | − | 10.4709i | 0.346694 | − | 0.573800i | ||||
\(334\) | 22.9743 | + | 1.91751i | 1.25710 | + | 0.104921i | ||||
\(335\) | 9.90410 | − | 15.6208i | 0.541119 | − | 0.853455i | ||||
\(336\) | −0.960557 | + | 0.337241i | −0.0524027 | + | 0.0183980i | ||||
\(337\) | −1.28077 | − | 1.76282i | −0.0697678 | − | 0.0960271i | 0.772707 | − | 0.634763i | \(-0.218902\pi\) |
−0.842475 | + | 0.538736i | \(0.818902\pi\) | |||||||
\(338\) | −1.39095 | + | 16.6655i | −0.0756578 | + | 0.906483i | ||||
\(339\) | 20.6817 | − | 0.877556i | 1.12328 | − | 0.0476623i | ||||
\(340\) | 1.34132 | − | 12.9398i | 0.0727435 | − | 0.701758i | ||||
\(341\) | −3.04804 | − | 4.19527i | −0.165061 | − | 0.227187i | ||||
\(342\) | −7.35018 | − | 22.5034i | −0.397452 | − | 1.21684i | ||||
\(343\) | −2.05400 | −0.110906 | ||||||||
\(344\) | −10.2136 | + | 8.47558i | −0.550682 | + | 0.456973i | ||||
\(345\) | 4.56897 | − | 0.484544i | 0.245985 | − | 0.0260869i | ||||
\(346\) | 8.68127 | + | 3.64410i | 0.466708 | + | 0.195908i | ||||
\(347\) | 13.4076 | − | 4.35640i | 0.719758 | − | 0.233864i | 0.0738400 | − | 0.997270i | \(-0.476475\pi\) |
0.645918 | + | 0.763406i | \(0.276475\pi\) | |||||||
\(348\) | −30.1197 | + | 5.79342i | −1.61459 | + | 0.310560i | ||||
\(349\) | 16.3242 | 0.873812 | 0.436906 | − | 0.899507i | \(-0.356074\pi\) | ||||
0.436906 | + | 0.899507i | \(0.356074\pi\) | |||||||
\(350\) | −1.00113 | − | 0.278073i | −0.0535126 | − | 0.0148636i | ||||
\(351\) | 5.09214 | − | 2.40585i | 0.271798 | − | 0.128415i | ||||
\(352\) | 4.50518 | − | 2.61628i | 0.240127 | − | 0.139448i | ||||
\(353\) | 1.83552 | + | 5.64916i | 0.0976950 | + | 0.300674i | 0.987947 | − | 0.154795i | \(-0.0494716\pi\) |
−0.890252 | + | 0.455469i | \(0.849472\pi\) | |||||||
\(354\) | −25.1469 | + | 7.04891i | −1.33654 | + | 0.374645i | ||||
\(355\) | −0.802238 | − | 12.6667i | −0.0425784 | − | 0.672278i | ||||
\(356\) | 0.887589 | − | 5.28022i | 0.0470421 | − | 0.279851i | ||||
\(357\) | −0.579969 | + | 0.460167i | −0.0306952 | + | 0.0243546i | ||||
\(358\) | 8.52179 | + | 14.0551i | 0.450391 | + | 0.742835i | ||||
\(359\) | −1.27036 | + | 0.922972i | −0.0670471 | + | 0.0487126i | −0.620804 | − | 0.783966i | \(-0.713194\pi\) |
0.553757 | + | 0.832678i | \(0.313194\pi\) | |||||||
\(360\) | −14.1379 | − | 12.6539i | −0.745130 | − | 0.666919i | ||||
\(361\) | 9.81732 | + | 7.13270i | 0.516701 | + | 0.375405i | ||||
\(362\) | −0.968183 | + | 11.6002i | −0.0508866 | + | 0.609690i | ||||
\(363\) | −4.71977 | + | 16.9382i | −0.247724 | + | 0.889025i | ||||
\(364\) | 0.282428 | + | 0.147286i | 0.0148032 | + | 0.00771989i | ||||
\(365\) | −26.9576 | + | 22.3202i | −1.41102 | + | 1.16829i | ||||
\(366\) | 5.11011 | + | 7.67427i | 0.267110 | + | 0.401141i | ||||
\(367\) | 9.78587 | − | 30.1178i | 0.510818 | − | 1.57214i | −0.279945 | − | 0.960016i | \(-0.590316\pi\) |
0.790764 | − | 0.612121i | \(-0.209684\pi\) | |||||||
\(368\) | 1.38072 | + | 4.53996i | 0.0719752 | + | 0.236662i | ||||
\(369\) | 14.7977 | − | 24.4911i | 0.770336 | − | 1.27496i | ||||
\(370\) | 7.36942 | + | 10.5823i | 0.383118 | + | 0.550149i | ||||
\(371\) | 0.255064 | + | 0.785006i | 0.0132423 | + | 0.0407555i | ||||
\(372\) | −17.6615 | − | 8.27790i | −0.915707 | − | 0.429189i | ||||
\(373\) | 3.44247 | − | 4.73815i | 0.178244 | − | 0.245332i | −0.710541 | − | 0.703655i | \(-0.751550\pi\) |
0.888785 | + | 0.458323i | \(0.151550\pi\) | |||||||
\(374\) | 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 | ||||
\(378\) | 0.0474396 | + | 1.07875i | 0.00244003 | + | 0.0554849i | ||||
\(379\) | 26.0098 | − | 8.45110i | 1.33603 | − | 0.434104i | 0.448062 | − | 0.894002i | \(-0.352114\pi\) |
0.887971 | + | 0.459899i | \(0.152114\pi\) | |||||||
\(380\) | 24.8209 | + | 2.57291i | 1.27329 | + | 0.131987i | ||||
\(381\) | 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 | \(-0.389477\pi\) |
−0.277414 | + | 0.960750i | \(0.589477\pi\) | |||||||
\(384\) | 10.0831 | − | 16.8027i | 0.514551 | − | 0.857460i | ||||
\(385\) | −0.192983 | − | 0.233078i | −0.00983531 | − | 0.0118787i | ||||
\(386\) | −2.27012 | − | 9.65673i | −0.115546 | − | 0.491515i | ||||
\(387\) | 5.46865 | + | 12.9718i | 0.277987 | + | 0.659392i | ||||
\(388\) | 7.55819 | − | 7.41652i | 0.383709 | − | 0.376517i | ||||
\(389\) | 6.07345 | − | 8.35939i | 0.307936 | − | 0.423838i | −0.626800 | − | 0.779180i | \(-0.715636\pi\) |
0.934736 | + | 0.355342i | \(0.115636\pi\) | |||||||
\(390\) | 0.132884 | + | 5.93503i | 0.00672884 | + | 0.300532i | ||||
\(391\) | 2.02840 | + | 2.79185i | 0.102580 | + | 0.141190i | ||||
\(392\) | 15.1892 | − | 12.6045i | 0.767171 | − | 0.636623i | ||||
\(393\) | 9.55300 | − | 7.57967i | 0.481885 | − | 0.382344i | ||||
\(394\) | −14.9125 | − | 24.5953i | −0.751279 | − | 1.23909i | ||||
\(395\) | −34.7878 | + | 2.20327i | −1.75036 | + | 0.110858i | ||||
\(396\) | −1.27283 | − | 5.37719i | −0.0639622 | − | 0.270214i | ||||
\(397\) | −17.9507 | + | 5.83254i | −0.900920 | + | 0.292727i | −0.722617 | − | 0.691249i | \(-0.757061\pi\) |
−0.178304 | + | 0.983976i | \(0.557061\pi\) | |||||||
\(398\) | 0.0162236 | + | 0.0690125i | 0.000813214 | + | 0.00345928i | ||||
\(399\) | −0.882686 | − | 1.11249i | −0.0441896 | − | 0.0556941i | ||||
\(400\) | 18.2476 | − | 8.18695i | 0.912379 | − | 0.409347i | ||||
\(401\) | 32.4818i | 1.62207i | 0.585001 | + | 0.811033i | \(0.301094\pi\) | ||||
−0.585001 | + | 0.811033i | \(0.698906\pi\) | |||||||
\(402\) | 12.5690 | − | 15.8915i | 0.626885 | − | 0.792598i | ||||
\(403\) | 1.88588 | + | 5.80413i | 0.0939422 | + | 0.289124i | ||||
\(404\) | −3.63560 | − | 7.30530i | −0.180878 | − | 0.363452i | ||||
\(405\) | −17.1879 | + | 10.4679i | −0.854071 | + | 0.520156i | ||||
\(406\) | −1.57335 | + | 0.953943i | −0.0780841 | + | 0.0473434i | ||||
\(407\) | 3.75561i | 0.186159i | ||||||||
\(408\) | 2.93452 | − | 13.9454i | 0.145280 | − | 0.690398i | ||||
\(409\) | 7.06641 | − | 5.13405i | 0.349412 | − | 0.253862i | −0.399211 | − | 0.916859i | \(-0.630716\pi\) |
0.748622 | + | 0.662997i | \(0.230716\pi\) | |||||||
\(410\) | 17.2369 | + | 24.7518i | 0.851269 | + | 1.22240i | ||||
\(411\) | −5.04881 | + | 0.214228i | −0.249039 | + | 0.0105671i | ||||
\(412\) | −1.71485 | − | 1.74761i | −0.0844848 | − | 0.0860987i | ||||
\(413\) | −1.26746 | + | 0.920865i | −0.0623677 | + | 0.0453128i | ||||
\(414\) | 5.03312 | − | 0.00776152i | 0.247364 | − | 0.000381458i | ||||
\(415\) | 26.9363 | + | 17.0785i | 1.32225 | + | 0.838351i | ||||
\(416\) | −5.99398 | + | 1.28991i | −0.293879 | + | 0.0632433i | ||||
\(417\) | 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 | \(-0.906647\pi\) |
0.944397 | + | 0.328809i | \(0.106647\pi\) | |||||||
\(420\) | −1.05909 | − | 0.416938i | −0.0516781 | − | 0.0203445i | ||||
\(421\) | −11.9738 | − | 36.8516i | −0.583567 | − | 1.79604i | −0.604949 | − | 0.796264i | \(-0.706807\pi\) |
0.0213818 | − | 0.999771i | \(-0.493193\pi\) | |||||||
\(422\) | −8.01641 | + | 19.0973i | −0.390233 | + | 0.929643i | ||||
\(423\) | 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 | ||||
\(426\) | 0.567992 | − | 13.8919i | 0.0275193 | − | 0.673063i | ||||
\(427\) | 0.447460 | + | 0.325099i | 0.0216541 | + | 0.0157326i | ||||
\(428\) | 10.6382 | + | 21.3763i | 0.514218 | + | 1.03326i | ||||
\(429\) | −0.956022 | + | 1.44055i | −0.0461572 | + | 0.0695503i | ||||
\(430\) | −14.8359 | − | 0.297054i | −0.715450 | − | 0.0143252i | ||||
\(431\) | 10.3806 | − | 31.9482i | 0.500016 | − | 1.53889i | −0.308976 | − | 0.951070i | \(-0.599986\pi\) |
0.808991 | − | 0.587820i | \(-0.200014\pi\) | |||||||
\(432\) | −13.9628 | − | 15.3961i | −0.671785 | − | 0.740746i | ||||
\(433\) | −13.8548 | − | 4.50169i | −0.665818 | − | 0.216337i | −0.0434423 | − | 0.999056i | \(-0.513832\pi\) |
−0.622376 | + | 0.782719i | \(0.713832\pi\) | |||||||
\(434\) | −1.16603 | − | 0.0973205i | −0.0559714 | − | 0.00467154i | ||||
\(435\) | −29.7139 | − | 17.1183i | −1.42467 | − | 0.820758i | ||||
\(436\) | −8.74783 | + | 16.7744i | −0.418945 | + | 0.803347i | ||||
\(437\) | −5.35529 | + | 3.89084i | −0.256178 | + | 0.186124i | ||||
\(438\) | −31.9117 | + | 21.2492i | −1.52480 | + | 1.01533i | ||||
\(439\) | −12.7796 | + | 17.5896i | −0.609937 | + | 0.839507i | −0.996572 | − | 0.0827260i | \(-0.973637\pi\) |
0.386635 | + | 0.922233i | \(0.373637\pi\) | |||||||
\(440\) | 5.72362 | + | 1.08036i | 0.272863 | + | 0.0515041i | ||||
\(441\) | −8.13272 | − | 19.2910i | −0.387272 | − | 0.918619i | ||||
\(442\) | −3.81274 | + | 2.31171i | −0.181353 | + | 0.109957i | ||||
\(443\) | − | 8.06028i | − | 0.382956i | −0.981497 | − | 0.191478i | \(-0.938672\pi\) | ||
0.981497 | − | 0.191478i | \(-0.0613280\pi\) | |||||||
\(444\) | 6.82434 | + | 12.3686i | 0.323869 | + | 0.586986i | ||||
\(445\) | 4.61092 | − | 3.81773i | 0.218579 | − | 0.180978i | ||||
\(446\) | 38.3335 | + | 16.0911i | 1.81515 | + | 0.761937i | ||||
\(447\) | 0.279178 | − | 0.420669i | 0.0132047 | − | 0.0198970i | ||||
\(448\) | 0.216766 | − | 1.15537i | 0.0102413 | − | 0.0545861i | ||||
\(449\) | 27.9862i | 1.32075i | 0.750936 | + | 0.660375i | \(0.229603\pi\) | ||||
−0.750936 | + | 0.660375i | \(0.770397\pi\) | |||||||
\(450\) | −2.70877 | − | 21.0395i | −0.127692 | − | 0.991814i | ||||
\(451\) | 8.78428i | 0.413636i | ||||||||
\(452\) | −11.0526 | + | 21.1938i | −0.519870 | + | 0.996875i | ||||
\(453\) | 7.63565 | − | 11.5055i | 0.358754 | − | 0.540576i | ||||
\(454\) | 5.25975 | − | 12.5302i | 0.246852 | − | 0.588071i | ||||
\(455\) | 0.131236 | + | 0.331060i | 0.00615243 | + | 0.0155203i | ||||
\(456\) | 26.7498 | + | 5.62896i | 1.25267 | + | 0.263600i | ||||
\(457\) | − | 12.1121i | − | 0.566581i | −0.959034 | − | 0.283291i | \(-0.908574\pi\) | ||
0.959034 | − | 0.283291i | \(-0.0914261\pi\) | |||||||
\(458\) | −6.11721 | − | 10.0892i | −0.285838 | − | 0.471437i | ||||
\(459\) | −13.2569 | − | 7.26122i | −0.618778 | − | 0.338925i | ||||
\(460\) | −2.15096 | + | 4.84979i | −0.100289 | + | 0.226122i | ||||
\(461\) | −2.27653 | + | 3.13338i | −0.106029 | + | 0.145936i | −0.858734 | − | 0.512422i | \(-0.828749\pi\) |
0.752705 | + | 0.658358i | \(0.228749\pi\) | |||||||
\(462\) | −0.183723 | − | 0.275911i | −0.00854755 | − | 0.0128366i | ||||
\(463\) | −3.45359 | + | 2.50918i | −0.160502 | + | 0.116612i | −0.665137 | − | 0.746721i | \(-0.731627\pi\) |
0.504635 | + | 0.863333i | \(0.331627\pi\) | |||||||
\(464\) | 11.5797 | − | 33.4703i | 0.537574 | − | 1.55382i | ||||
\(465\) | −8.88855 | − | 19.9138i | −0.412197 | − | 0.923481i | ||||
\(466\) | −1.85604 | + | 22.2379i | −0.0859796 | + | 1.03015i | ||||
\(467\) | −8.56240 | − | 2.78209i | −0.396221 | − | 0.128740i | 0.104128 | − | 0.994564i | \(-0.466795\pi\) |
−0.500349 | + | 0.865824i | \(0.666795\pi\) | |||||||
\(468\) | −0.530895 | + | 6.48142i | −0.0245406 | + | 0.299604i | ||||
\(469\) | 0.375593 | − | 1.15596i | 0.0173433 | − | 0.0533771i | ||||
\(470\) | −22.7713 | + | 6.89804i | −1.05036 | + | 0.318183i | ||||
\(471\) | −15.0719 | + | 22.7106i | −0.694477 | + | 1.04645i | ||||
\(472\) | 7.45524 | − | 29.2203i | 0.343155 | − | 1.34497i | ||||
\(473\) | −3.49624 | − | 2.54016i | −0.160757 | − | 0.116797i | ||||
\(474\) | −38.1526 | − | 1.55993i | −1.75241 | − | 0.0716501i | ||||
\(475\) | 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 | ||||
\(478\) | 23.6326 | + | 9.92018i | 1.08093 | + | 0.453739i | ||||
\(479\) | 9.41830 | + | 28.9865i | 0.430333 | + | 1.32443i | 0.897794 | + | 0.440415i | \(0.145169\pi\) |
−0.467461 | + | 0.884014i | \(0.654831\pi\) | |||||||
\(480\) | 20.8130 | − | 6.84239i | 0.949980 | − | 0.312311i | ||||
\(481\) | 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 | ||||
\(484\) | −14.2204 | − | 14.4920i | −0.646381 | − | 0.658728i | ||||
\(485\) | 11.8154 | − | 0.748322i | 0.536510 | − | 0.0339795i | ||||
\(486\) | −19.9181 | + | 9.44820i | −0.903504 | + | 0.428579i | ||||
\(487\) | 25.3173 | − | 18.3941i | 1.14724 | − | 0.833517i | 0.159127 | − | 0.987258i | \(-0.449132\pi\) |
0.988111 | + | 0.153741i | \(0.0491320\pi\) | |||||||
\(488\) | −10.6243 | + | 0.684610i | −0.480938 | + | 0.0309908i | ||||
\(489\) | −22.3920 | + | 0.950123i | −1.01260 | + | 0.0429661i | ||||
\(490\) | 22.0632 | + | 0.441765i | 0.996716 | + | 0.0199569i | ||||
\(491\) | −28.2618 | + | 20.5334i | −1.27544 | + | 0.926661i | −0.999405 | − | 0.0344873i | \(-0.989020\pi\) |
−0.276034 | + | 0.961148i | \(0.589020\pi\) | |||||||
\(492\) | 15.9619 | + | 28.9297i | 0.719620 | + | 1.30425i | ||||
\(493\) | − | 25.7562i | − | 1.16000i | ||||||
\(494\) | −4.43430 | − | 7.31354i | −0.199508 | − | 0.329052i | ||||
\(495\) | 2.85428 | − | 5.47913i | 0.128290 | − | 0.246269i | ||||
\(496\) | 18.4684 | − | 12.8914i | 0.829257 | − | 0.578840i | ||||
\(497\) | −0.257735 | − | 0.793227i | −0.0115610 | − | 0.0355811i | ||||
\(498\) | 27.4032 | + | 21.6738i | 1.22797 | + | 0.971228i | ||||
\(499\) | − | 13.1530i | − | 0.588810i | −0.955681 | − | 0.294405i | \(-0.904879\pi\) | ||
0.955681 | − | 0.294405i | \(-0.0951215\pi\) | |||||||
\(500\) | 21.4209 | + | 6.41442i | 0.957972 | + | 0.286862i | ||||
\(501\) | 17.5499 | + | 22.1189i | 0.784072 | + | 0.988200i | ||||
\(502\) | −0.874956 | + | 0.205686i | −0.0390512 | + | 0.00918022i | ||||
\(503\) | −14.8552 | + | 4.82676i | −0.662362 | + | 0.215214i | −0.620857 | − | 0.783924i | \(-0.713215\pi\) |
−0.0415050 | + | 0.999138i | \(0.513215\pi\) | |||||||
\(504\) | −1.10642 | − | 0.574831i | −0.0492840 | − | 0.0256050i | ||||
\(505\) | 2.26513 | − | 8.83744i | 0.100797 | − | 0.393261i | ||||
\(506\) | −1.32123 | + | 0.801076i | −0.0587356 | + | 0.0356122i | ||||
\(507\) | −16.0450 | + | 12.7306i | −0.712582 | + | 0.565387i | ||||
\(508\) | −21.2143 | − | 3.56605i | −0.941231 | − | 0.158218i | ||||
\(509\) | 1.95824 | + | 2.69529i | 0.0867976 | + | 0.119467i | 0.850208 | − | 0.526448i | \(-0.176476\pi\) |
−0.763410 | + | 0.645914i | \(0.776476\pi\) | |||||||
\(510\) | 12.6771 | − | 9.65128i | 0.561351 | − | 0.427366i | ||||
\(511\) | −1.35185 | + | 1.86066i | −0.0598022 | + | 0.0823107i | ||||
\(512\) | 10.9910 | + | 19.7787i | 0.485738 | + | 0.874104i | ||||
\(513\) | 13.9284 | − | 25.4292i | 0.614953 | − | 1.12272i | ||||
\(514\) | 6.91609 | − | 1.62584i | 0.305056 | − | 0.0717129i | ||||
\(515\) | −0.173028 | − | 2.73197i | −0.00762451 | − | 0.120385i | ||||
\(516\) | −16.1301 | − | 2.01264i | −0.710087 | − | 0.0886015i | ||||
\(517\) | −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 | ||||
\(520\) | −6.01338 | − | 3.29074i | −0.263704 | − | 0.144308i | ||||
\(521\) | −33.0588 | + | 10.7414i | −1.44833 | + | 0.470591i | −0.924484 | − | 0.381222i | \(-0.875503\pi\) |
−0.523847 | + | 0.851813i | \(0.675503\pi\) | |||||||
\(522\) | −30.4249 | − | 22.0334i | −1.33166 | − | 0.964374i | ||||
\(523\) | −19.6936 | − | 14.3082i | −0.861139 | − | 0.625654i | 0.0670557 | − | 0.997749i | \(-0.478639\pi\) |
−0.928195 | + | 0.372095i | \(0.878639\pi\) | |||||||
\(524\) | 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 | ||||
\(528\) | 6.11296 | + | 1.82867i | 0.266033 | + | 0.0795827i | ||||
\(529\) | 6.67249 | + | 20.5358i | 0.290108 | + | 0.892862i | ||||
\(530\) | −5.14986 | − | 17.0004i | −0.223696 | − | 0.738449i | ||||
\(531\) | −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 | ||||
\(534\) | 5.45829 | − | 3.63454i | 0.236203 | − | 0.157282i | ||||
\(535\) | −6.62807 | + | 25.8595i | −0.286556 | + | 1.11800i | ||||
\(536\) | 8.64555 | + | 21.7397i | 0.373431 | + | 0.939013i | ||||
\(537\) | −5.40353 | + | 19.3921i | −0.233180 | + | 0.836829i | ||||
\(538\) | 30.4733 | + | 2.54339i | 1.31380 | + | 0.109653i | ||||
\(539\) | 5.19944 | + | 3.77761i | 0.223956 | + | 0.162713i | ||||
\(540\) | −0.555986 | − | 23.2312i | −0.0239258 | − | 0.999714i | ||||
\(541\) | 17.5283 | − | 12.7351i | 0.753601 | − | 0.547523i | −0.143340 | − | 0.989674i | \(-0.545784\pi\) |
0.896941 | + | 0.442150i | \(0.145784\pi\) | |||||||
\(542\) | −11.0387 | + | 6.69291i | −0.474153 | + | 0.287485i | ||||
\(543\) | −11.1682 | + | 8.86126i | −0.479275 | + | 0.380273i | ||||
\(544\) | 12.2565 | + | 10.9798i | 0.525495 | + | 0.470756i | ||||
\(545\) | −19.6628 | + | 7.79456i | −0.842261 | + | 0.333882i | ||||
\(546\) | 0.105294 | + | 0.375634i | 0.00450616 | + | 0.0160757i | ||||
\(547\) | 4.26103 | + | 13.1141i | 0.182188 | + | 0.560718i | 0.999889 | − | 0.0149263i | \(-0.00475135\pi\) |
−0.817700 | + | 0.575644i | \(0.804751\pi\) | |||||||
\(548\) | 2.69815 | − | 5.17383i | 0.115259 | − | 0.221015i | ||||
\(549\) | −2.56717 | + | 10.9964i | −0.109564 | + | 0.469316i | ||||
\(550\) | 4.05188 | + | 5.09813i | 0.172773 | + | 0.217385i | ||||
\(551\) | 49.4052 | 2.10473 | ||||||||
\(552\) | −2.89562 | + | 5.03903i | −0.123246 | + | 0.214475i | ||||
\(553\) | −2.17852 | + | 0.707843i | −0.0926400 | + | 0.0301006i | ||||
\(554\) | 14.3956 | − | 34.2944i | 0.611611 | − | 1.45703i | ||||
\(555\) | −3.26923 | + | 15.4516i | −0.138771 | + | 0.655886i | ||||
\(556\) | −6.12082 | + | 36.4124i | −0.259580 | + | 1.54423i | ||||
\(557\) | −34.0690 | −1.44355 | −0.721775 | − | 0.692127i | \(-0.756674\pi\) | ||||
−0.721775 | + | 0.692127i | \(0.756674\pi\) | |||||||
\(558\) | −7.41710 | − | 22.7083i | −0.313991 | − | 0.961318i | ||||
\(559\) | 2.98945 | + | 4.11462i | 0.126440 | + | 0.174030i | ||||
\(560\) | 1.02800 | − | 0.818875i | 0.0434408 | − | 0.0346038i | ||||
\(561\) | 4.63602 | − | 0.196713i | 0.195733 | − | 0.00830523i | ||||
\(562\) | −30.3594 | − | 2.53388i | −1.28063 | − | 0.106885i | ||||
\(563\) | 2.17518 | + | 2.99388i | 0.0916730 | + | 0.126177i | 0.852390 | − | 0.522907i | \(-0.175152\pi\) |
−0.760717 | + | 0.649084i | \(0.775152\pi\) | |||||||
\(564\) | −25.5950 | + | 4.92310i | −1.07774 | + | 0.207300i | ||||
\(565\) | −24.8433 | + | 9.84816i | −1.04516 | + | 0.414315i | ||||
\(566\) | 1.94064 | − | 23.2515i | 0.0815712 | − | 0.977334i | ||||
\(567\) | −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 | 0.317589 | − | 0.948228i | \(-0.397127\pi\) |
−0.300420 | + | 0.953807i | \(0.597127\pi\) | |||||||
\(570\) | 18.5129 | + | 24.3170i | 0.775422 | + | 1.01853i | ||||
\(571\) | −7.45937 | + | 2.42370i | −0.312165 | + | 0.101429i | −0.460910 | − | 0.887447i | \(-0.652477\pi\) |
0.148745 | + | 0.988876i | \(0.452477\pi\) | |||||||
\(572\) | −0.889470 | − | 1.78728i | −0.0371906 | − | 0.0747301i | ||||
\(573\) | 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 | ||||
\(576\) | 23.4550 | − | 5.08542i | 0.977293 | − | 0.211892i | ||||
\(577\) | −5.30734 | + | 7.30493i | −0.220948 | + | 0.304108i | −0.905073 | − | 0.425256i | \(-0.860184\pi\) |
0.684126 | + | 0.729364i | \(0.260184\pi\) | |||||||
\(578\) | −11.1336 | − | 4.67353i | −0.463098 | − | 0.194393i | ||||
\(579\) | 6.71815 | − | 10.1230i | 0.279197 | − | 0.420698i | ||||
\(580\) | 34.2638 | − | 19.8476i | 1.42273 | − | 0.824127i | ||||
\(581\) | 1.99332 | + | 0.647668i | 0.0826967 | + | 0.0268698i | ||||
\(582\) | 12.9582 | + | 0.529819i | 0.537136 | + | 0.0219617i | ||||
\(583\) | 1.59863 | − | 4.92008i | 0.0662085 | − | 0.203769i | ||||
\(584\) | −2.84679 | − | 44.1785i | −0.117801 | − | 1.82812i | ||||
\(585\) | −5.18733 | + | 5.09461i | −0.214470 | + | 0.210636i | ||||
\(586\) | −9.64010 | + | 2.26621i | −0.398229 | + | 0.0936163i | ||||
\(587\) | 21.0438 | + | 28.9643i | 0.868570 | + | 1.19548i | 0.979457 | + | 0.201651i | \(0.0646306\pi\) |
−0.110888 | + | 0.993833i | \(0.535369\pi\) | |||||||
\(588\) | 23.9879 | + | 2.99310i | 0.989244 | + | 0.123433i | ||||
\(589\) | 25.4180 | + | 18.4672i | 1.04733 | + | 0.760930i | ||||
\(590\) | 27.6679 | − | 19.2677i | 1.13907 | − | 0.793237i | ||||
\(591\) | 9.45576 | − | 33.9346i | 0.388958 | − | 1.39588i | ||||
\(592\) | −16.3087 | − | 0.308607i | −0.670285 | − | 0.0126837i | ||||
\(593\) | 13.8839 | 0.570143 | 0.285071 | − | 0.958506i | \(-0.407983\pi\) | ||||
0.285071 | + | 0.958506i | \(0.407983\pi\) | |||||||
\(594\) | 3.73355 | − | 5.64464i | 0.153189 | − | 0.231602i | ||||
\(595\) | 0.511799 | − | 0.807212i | 0.0209817 | − | 0.0330925i | ||||
\(596\) | 0.259743 | + | 0.521923i | 0.0106395 | + | 0.0213788i | ||||
\(597\) | −0.0480117 | + | 0.0723448i | −0.00196499 | + | 0.00296087i | ||||
\(598\) | 1.77014 | − | 0.416127i | 0.0723863 | − | 0.0170167i | ||||
\(599\) | 1.11279 | 0.0454673 | 0.0227336 | − | 0.999742i | \(-0.492763\pi\) | ||||
0.0227336 | + | 0.999742i | \(0.492763\pi\) | |||||||
\(600\) | 22.6081 | + | 9.42727i | 0.922972 | + | 0.384867i | ||||
\(601\) | −8.51068 | −0.347158 | −0.173579 | − | 0.984820i | \(-0.555533\pi\) | ||||
−0.173579 | + | 0.984820i | \(0.555533\pi\) | |||||||
\(602\) | −0.949246 | + | 0.223150i | −0.0386884 | + | 0.00909492i | ||||
\(603\) | 24.7257 | − | 2.10208i | 1.00691 | − | 0.0856034i | ||||
\(604\) | 7.10411 | + | 14.2749i | 0.289062 | + | 0.580836i | ||||
\(605\) | −1.43483 | − | 22.6548i | −0.0583340 | − | 0.921048i | ||||
\(606\) | 3.47399 | − | 9.37063i | 0.141121 | − | 0.380656i | ||||
\(607\) | −18.2182 | −0.739454 | −0.369727 | − | 0.929140i | \(-0.620549\pi\) | ||||
−0.369727 | + | 0.929140i | \(0.620549\pi\) | |||||||
\(608\) | −21.0614 | + | 23.5103i | −0.854151 | + | 0.953469i | ||||
\(609\) | −2.17078 | − | 0.604880i | −0.0879644 | − | 0.0245110i | ||||
\(610\) | −9.48768 | − | 7.18773i | −0.384145 | − | 0.291023i | ||||
\(611\) | 6.59754 | + | 4.79339i | 0.266908 | + | 0.193920i | ||||
\(612\) | 14.9106 | − | 9.07197i | 0.602726 | − | 0.366713i | ||||
\(613\) | −8.86037 | − | 12.1952i | −0.357867 | − | 0.492561i | 0.591686 | − | 0.806169i | \(-0.298463\pi\) |
−0.949553 | + | 0.313607i | \(0.898463\pi\) | |||||||
\(614\) | 9.12571 | − | 2.14529i | 0.368284 | − | 0.0865767i | ||||
\(615\) | −7.64665 | + | 36.1410i | −0.308343 | + | 1.45735i | ||||
\(616\) | 0.381972 | − | 0.0246136i | 0.0153901 | − | 0.000991711i | ||||
\(617\) | 7.80536 | − | 24.0224i | 0.314232 | − | 0.967107i | −0.661837 | − | 0.749647i | \(-0.730223\pi\) |
0.976069 | − | 0.217459i | \(-0.0697769\pi\) | |||||||
\(618\) | 0.122505 | − | 2.99621i | 0.00492789 | − | 0.120525i | ||||
\(619\) | −21.5369 | − | 6.99777i | −0.865641 | − | 0.281264i | −0.157659 | − | 0.987494i | \(-0.550395\pi\) |
−0.707983 | + | 0.706230i | \(0.750395\pi\) | |||||||
\(620\) | 25.0469 | + | 2.59633i | 1.00591 | + | 0.104271i | ||||
\(621\) | 4.22673 | + | 4.48701i | 0.169613 | + | 0.180058i | ||||
\(622\) | 31.3888 | + | 13.1760i | 1.25858 | + | 0.528308i | ||||
\(623\) | 0.231225 | − | 0.318254i | 0.00926384 | − | 0.0127506i | ||||
\(624\) | −6.17702 | − | 4.26990i | −0.247279 | − | 0.170933i | ||||
\(625\) | 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 | ||||
\(628\) | −14.0227 | − | 28.1770i | −0.559567 | − | 1.12438i | ||||
\(629\) | −11.2818 | + | 3.66567i | −0.449834 | + | 0.146160i | ||||
\(630\) | −0.515707 | − | 1.29511i | −0.0205463 | − | 0.0515982i | ||||
\(631\) | 19.2741 | + | 6.26254i | 0.767291 | + | 0.249308i | 0.666405 | − | 0.745590i | \(-0.267832\pi\) |
0.100886 | + | 0.994898i | \(0.467832\pi\) | |||||||
\(632\) | 23.5690 | − | 37.2636i | 0.937523 | − | 1.48227i | ||||
\(633\) | −23.7709 | + | 8.85434i | −0.944809 | + | 0.351929i | ||||
\(634\) | −2.33931 | + | 28.0282i | −0.0929059 | + | 1.11314i | ||||
\(635\) | −15.3385 | − | 18.5252i | −0.608688 | − | 0.735151i | ||||
\(636\) | −3.67543 | − | 19.1084i | −0.145740 | − | 0.757699i | ||||
\(637\) | −4.44576 | − | 6.11907i | −0.176148 | − | 0.242446i | ||||
\(638\) | 11.4921 | + | 0.959164i | 0.454976 | + | 0.0379737i | ||||
\(639\) | 12.8787 | − | 11.1399i | 0.509475 | − | 0.440689i | ||||
\(640\) | −5.16179 | + | 24.7660i | −0.204037 | + | 0.978963i | ||||
\(641\) | −12.6976 | − | 17.4767i | −0.501524 | − | 0.690289i | 0.480937 | − | 0.876755i | \(-0.340297\pi\) |
−0.982461 | + | 0.186466i | \(0.940297\pi\) | |||||||
\(642\) | −10.1653 | + | 27.4197i | −0.401194 | + | 1.08217i | ||||
\(643\) | −28.1000 | −1.10815 | −0.554077 | − | 0.832465i | \(-0.686929\pi\) | ||||
−0.554077 | + | 0.832465i | \(0.686929\pi\) | |||||||
\(644\) | −0.0577941 | + | 0.343814i | −0.00227741 | + | 0.0135482i | ||||
\(645\) | −12.1733 | − | 13.4944i | −0.479323 | − | 0.531341i | ||||
\(646\) | −8.88459 | + | 21.1656i | −0.349560 | + | 0.832748i | ||||
\(647\) | −18.7025 | + | 6.07680i | −0.735270 | + | 0.238904i | −0.652631 | − | 0.757676i | \(-0.726335\pi\) |
−0.0826390 | + | 0.996580i | \(0.526335\pi\) | |||||||
\(648\) | 2.03901 | − | 25.3741i | 0.0800999 | − | 0.996787i | ||||
\(649\) | 9.81920 | 0.385437 | ||||||||
\(650\) | −2.68110 | − | 7.17975i | −0.105161 | − | 0.281613i | ||||
\(651\) | −0.890723 | − | 1.12262i | −0.0349102 | − | 0.0439988i | ||||
\(652\) | 11.9666 | − | 22.9464i | 0.468646 | − | 0.898651i | ||||
\(653\) | 4.77116 | + | 14.6841i | 0.186710 | + | 0.574635i | 0.999974 | − | 0.00726094i | \(-0.00231125\pi\) |
−0.813264 | + | 0.581896i | \(0.802311\pi\) | |||||||
\(654\) | −22.3102 | + | 6.25376i | −0.872399 | + | 0.244541i | ||||
\(655\) | −8.43013 | + | 13.2960i | −0.329393 | + | 0.519520i | ||||
\(656\) | −38.1457 | − | 0.721824i | −1.48934 | − | 0.0281825i | ||||
\(657\) | −45.7260 | − | 10.6750i | −1.78394 | − | 0.416470i | ||||
\(658\) | −1.33699 | + | 0.810637i | −0.0521215 | + | 0.0316019i | ||||
\(659\) | 23.6450 | − | 17.1791i | 0.921077 | − | 0.669202i | −0.0227147 | − | 0.999742i | \(-0.507231\pi\) |
0.943792 | + | 0.330540i | \(0.107231\pi\) | |||||||
\(660\) | 3.83418 | + | 6.01577i | 0.149245 | + | 0.234164i | ||||
\(661\) | 6.74049 | + | 4.89725i | 0.262175 | + | 0.190481i | 0.711105 | − | 0.703086i | \(-0.248195\pi\) |
−0.448931 | + | 0.893567i | \(0.648195\pi\) | |||||||
\(662\) | −20.5004 | − | 1.71102i | −0.796770 | − | 0.0665008i | ||||
\(663\) | −5.26050 | − | 1.46582i | −0.204301 | − | 0.0569277i | ||||
\(664\) | −37.4877 | + | 14.9083i | −1.45480 | + | 0.578553i | ||||
\(665\) | 1.54838 | + | 0.981725i | 0.0600437 | + | 0.0380697i | ||||
\(666\) | −5.32096 | + | 16.4626i | −0.206183 | + | 0.637912i | ||||
\(667\) | −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 | ||||
\(670\) | −8.57942 | + | 24.7102i | −0.331452 | + | 0.954639i | ||||
\(671\) | −1.07122 | − | 3.29687i | −0.0413539 | − | 0.127274i | ||||
\(672\) | 1.21324 | − | 0.775143i | 0.0468018 | − | 0.0299018i | ||||
\(673\) | −2.93461 | + | 4.03914i | −0.113121 | + | 0.155697i | −0.861823 | − | 0.507209i | \(-0.830677\pi\) |
0.748702 | + | 0.662906i | \(0.230677\pi\) | |||||||
\(674\) | 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 | 0.157724 | − | 0.987483i | \(-0.449585\pi\) |
−0.890413 | + | 0.455153i | \(0.849585\pi\) | |||||||
\(678\) | −28.1882 | + | 7.90141i | −1.08256 | + | 0.303452i | ||||
\(679\) | 0.739916 | − | 0.240413i | 0.0283954 | − | 0.00922622i | ||||
\(680\) | 2.34117 | + | 18.2481i | 0.0897796 | + | 0.699783i | ||||
\(681\) | 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 | \(-0.516378\pi\) |
−0.628615 | + | 0.777716i | \(0.716378\pi\) | |||||||
\(684\) | 17.4017 | + | 28.6013i | 0.665372 | + | 1.09360i | ||||
\(685\) | 6.06472 | − | 2.40413i | 0.231721 | − | 0.0918569i | ||||
\(686\) | 2.82772 | − | 0.664744i | 0.107963 | − | 0.0253800i | ||||
\(687\) | 3.87883 | − | 13.9202i | 0.147986 | − | 0.531090i | ||||
\(688\) | 11.3180 | − | 14.9737i | 0.431493 | − | 0.570866i | ||||
\(689\) | −3.57860 | + | 4.92552i | −0.136334 | + | 0.187647i | ||||
\(690\) | −6.13322 | + | 2.14574i | −0.233488 | + | 0.0816868i | ||||
\(691\) | −23.7900 | − | 32.7441i | −0.905014 | − | 1.24565i | −0.968841 | − | 0.247684i | \(-0.920331\pi\) |
0.0638268 | − | 0.997961i | \(-0.479669\pi\) | |||||||
\(692\) | −13.1307 | − | 2.20723i | −0.499155 | − | 0.0839065i | ||||
\(693\) | 0.0922968 | − | 0.395352i | 0.00350606 | − | 0.0150182i | ||||
\(694\) | −17.0482 | + | 10.3365i | −0.647140 | + | 0.392370i | ||||
\(695\) | −31.7969 | + | 26.3271i | −1.20613 | + | 0.998645i | ||||
\(696\) | 39.5904 | − | 17.7235i | 1.50067 | − | 0.671806i | ||||
\(697\) | −26.3878 | + | 8.57391i | −0.999509 | + | 0.324760i | ||||
\(698\) | −22.4732 | + | 5.28304i | −0.850624 | + | 0.199966i | ||||
\(699\) | −21.4099 | + | 16.9874i | −0.809798 | + | 0.642522i | ||||
\(700\) | 1.46823 | + | 0.0588195i | 0.0554940 | + | 0.00222317i | ||||
\(701\) | − | 25.9868i | − | 0.981509i | −0.871298 | − | 0.490754i | \(-0.836721\pi\) | ||
0.871298 | − | 0.490754i | \(-0.163279\pi\) | |||||||
\(702\) | −6.23166 | + | 4.96009i | −0.235199 | + | 0.187207i | ||||
\(703\) | −7.03144 | − | 21.6405i | −0.265196 | − | 0.816189i | ||||
\(704\) | −5.35550 | + | 5.05982i | −0.201843 | + | 0.190699i | ||||
\(705\) | −25.2501 | − | 14.5467i | −0.950976 | − | 0.547860i | ||||
\(706\) | −4.35519 | − | 7.18308i | −0.163910 | − | 0.270339i | ||||
\(707\) | − | 0.599517i | − | 0.0225471i | ||||||
\(708\) | 32.3381 | − | 17.8425i | 1.21534 | − | 0.670562i | ||||
\(709\) | 11.3090 | − | 8.21650i | 0.424720 | − | 0.308577i | −0.354814 | − | 0.934937i | \(-0.615456\pi\) |
0.779534 | + | 0.626360i | \(0.215456\pi\) | |||||||
\(710\) | 5.20379 | + | 17.1784i | 0.195295 | + | 0.644695i | ||||
\(711\) | −30.5947 | − | 35.3701i | −1.14739 | − | 1.32648i | ||||
\(712\) | 0.486926 | + | 7.55645i | 0.0182483 | + | 0.283190i | ||||
\(713\) | −5.40405 | + | 3.92627i | −0.202383 | + | 0.147040i | ||||
\(714\) | 0.649509 | − | 0.821202i | 0.0243073 | − | 0.0307327i | ||||
\(715\) | 0.554178 | − | 2.16213i | 0.0207251 | − | 0.0808591i | ||||
\(716\) | −16.2805 | − | 16.5915i | −0.608432 | − | 0.620054i | ||||
\(717\) | 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 | 0.596261 | + | 0.802791i | \(0.296652\pi\) |
−0.954254 | + | 0.298998i | \(0.903348\pi\) | |||||||
\(720\) | 23.5586 | + | 12.8450i | 0.877977 | + | 0.478703i | ||||
\(721\) | −0.0555886 | − | 0.171084i | −0.00207023 | − | 0.00637151i | ||||
\(722\) | −15.8237 | − | 6.64227i | −0.588898 | − | 0.247200i | ||||
\(723\) | 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 | ||||
\(726\) | 1.01587 | − | 24.8460i | 0.0377026 | − | 0.922123i | ||||
\(727\) | 32.3401 | + | 23.4965i | 1.19943 | + | 0.871436i | 0.994228 | − | 0.107283i | \(-0.0342152\pi\) |
0.205201 | + | 0.978720i | \(0.434215\pi\) | |||||||
\(728\) | −0.436481 | − | 0.111363i | −0.0161771 | − | 0.00412740i | ||||
\(729\) | −25.1347 | − | 9.86127i | −0.930916 | − | 0.365232i | ||||
\(730\) | 29.8885 | − | 39.4523i | 1.10622 | − | 1.46019i | ||||
\(731\) | 4.21809 | − | 12.9819i | 0.156012 | − | 0.480155i | ||||
\(732\) | −9.51866 | − | 8.91125i | −0.351820 | − | 0.329369i | ||||
\(733\) | −48.1127 | − | 15.6328i | −1.77708 | − | 0.577410i | −0.778356 | − | 0.627823i | \(-0.783946\pi\) |
−0.998728 | + | 0.0504128i | \(0.983946\pi\) | |||||||
\(734\) | −3.72493 | + | 44.6298i | −0.137490 | + | 1.64732i | ||||
\(735\) | 18.1036 | + | 20.0682i | 0.667760 | + | 0.740228i | ||||
\(736\) | −3.37011 | − | 5.80325i | −0.124224 | − | 0.213911i | ||||
\(737\) | −6.16300 | + | 4.47768i | −0.227017 | + | 0.164937i | ||||
\(738\) | −12.4456 | + | 38.5056i | −0.458129 | + | 1.41741i | ||||
\(739\) | 7.82821 | − | 10.7746i | 0.287965 | − | 0.396350i | −0.640387 | − | 0.768053i | \(-0.721226\pi\) |
0.928352 | + | 0.371703i | \(0.121226\pi\) | |||||||
\(740\) | −13.5702 | − | 12.1835i | −0.498849 | − | 0.447876i | ||||
\(741\) | 2.81172 | − | 10.0906i | 0.103291 | − | 0.370688i | ||||
\(742\) | −0.605197 | − | 0.998158i | −0.0222175 | − | 0.0366435i | ||||
\(743\) | 41.3570i | 1.51724i | 0.651533 | + | 0.758620i | \(0.274126\pi\) | ||||
−0.651533 | + | 0.758620i | \(0.725874\pi\) | |||||||
\(744\) | 26.9934 | + | 5.68021i | 0.989624 | + | 0.208246i | ||||
\(745\) | −0.161831 | + | 0.631386i | −0.00592903 | + | 0.0231322i | ||||
\(746\) | −3.20577 | + | 7.63703i | −0.117372 | + | 0.279612i | ||||
\(747\) | 3.62481 | + | 42.6368i | 0.132625 | + | 1.56000i | ||||
\(748\) | −2.47755 | + | 4.75082i | −0.0905882 | + | 0.173707i | ||||
\(749\) | 1.75426i | 0.0640994i | ||||||||
\(750\) | 12.2327 | + | 24.5023i | 0.446675 | + | 0.894696i | ||||
\(751\) | − | 22.6414i | − | 0.826197i | −0.910686 | − | 0.413098i | \(-0.864447\pi\) | ||
0.910686 | − | 0.413098i | \(-0.135553\pi\) | |||||||
\(752\) | 9.84014 | − | 28.4422i | 0.358833 | − | 1.03718i | ||||
\(753\) | −0.917203 | − | 0.608704i | −0.0334247 | − | 0.0221824i | ||||
\(754\) | −12.5139 | − | 5.25293i | −0.455731 | − | 0.191300i | ||||
\(755\) | −4.42616 | + | 17.2687i | −0.161084 | + | 0.628473i | ||||
\(756\) | −0.414429 | − | 1.46975i | −0.0150726 | − | 0.0534541i | ||||
\(757\) | − | 4.74016i | − | 0.172284i | −0.996283 | − | 0.0861420i | \(-0.972546\pi\) | ||
0.996283 | − | 0.0861420i | \(-0.0274539\pi\) | |||||||
\(758\) | −33.0722 | + | 20.0521i | −1.20124 | + | 0.728326i | ||||
\(759\) | −1.82292 | − | 0.507950i | −0.0661677 | − | 0.0184374i | ||||
\(760\) | −35.0033 | + | 4.49079i | −1.26970 | + | 0.162898i | ||||
\(761\) | 14.4110 | − | 19.8351i | 0.522399 | − | 0.719020i | −0.463549 | − | 0.886071i | \(-0.653424\pi\) |
0.985948 | + | 0.167051i | \(0.0534243\pi\) | |||||||
\(762\) | −14.6024 | − | 21.9297i | −0.528991 | − | 0.794429i | ||||
\(763\) | −1.12449 | + | 0.816987i | −0.0407092 | + | 0.0295769i | ||||
\(764\) | −1.30495 | + | 2.50230i | −0.0472114 | + | 0.0905300i | ||||
\(765\) | 19.2451 | + | 3.22629i | 0.695809 | + | 0.116647i | ||||
\(766\) | −1.82318 | − | 0.152168i | −0.0658740 | − | 0.00549804i | ||||
\(767\) | −10.9903 | − | 3.57098i | −0.396838 | − | 0.128941i | ||||
\(768\) | −8.44333 | + | 26.3953i | −0.304672 | + | 0.952457i | ||||
\(769\) | −15.2533 | + | 46.9449i | −0.550049 | + | 1.69288i | 0.158624 | + | 0.987339i | \(0.449294\pi\) |
−0.708673 | + | 0.705537i | \(0.750706\pi\) | |||||||
\(770\) | 0.341108 | + | 0.258419i | 0.0122927 | + | 0.00931277i | ||||
\(771\) | 7.25003 | + | 4.81150i | 0.261103 | + | 0.173282i | ||||
\(772\) | 6.25048 | + | 12.5596i | 0.224960 | + | 0.452030i | ||||
\(773\) | −8.19491 | − | 5.95395i | −0.294750 | − | 0.214149i | 0.430575 | − | 0.902555i | \(-0.358311\pi\) |
−0.725325 | + | 0.688406i | \(0.758311\pi\) | |||||||
\(774\) | −11.7267 | − | 16.0882i | −0.421508 | − | 0.578278i | ||||
\(775\) | 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 | ||||
\(778\) | −5.65585 | + | 13.4738i | −0.202772 | + | 0.483060i | ||||
\(779\) | −16.4464 | − | 50.6167i | −0.589252 | − | 1.81353i | ||||
\(780\) | −2.10371 | − | 8.12766i | −0.0753250 | − | 0.291017i | ||||
\(781\) | −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 | ||||
\(784\) | −16.8315 | + | 22.2681i | −0.601126 | + | 0.795291i | ||||
\(785\) | 8.73674 | − | 34.0865i | 0.311828 | − | 1.21660i | ||||
\(786\) | −10.6984 | + | 13.5265i | −0.381600 | + | 0.482474i | ||||
\(787\) | −6.03895 | + | 4.38755i | −0.215265 | + | 0.156399i | −0.690193 | − | 0.723626i | \(-0.742474\pi\) |
0.474927 | + | 0.880025i | \(0.342474\pi\) | |||||||
\(788\) | 28.4896 | + | 29.0338i | 1.01490 | + | 1.03429i | ||||
\(789\) | 0.734561 | + | 17.3117i | 0.0261511 | + | 0.616313i | ||||
\(790\) | 47.1788 | − | 14.2917i | 1.67855 | − | 0.508476i | ||||
\(791\) | −1.42075 | + | 1.03224i | −0.0505161 | + | 0.0367021i | ||||
\(792\) | 3.49253 | + | 6.99076i | 0.124101 | + | 0.248406i | ||||
\(793\) | 4.07967i | 0.144873i | ||||||||
\(794\) | 22.8249 | − | 13.8390i | 0.810024 | − | 0.491128i | ||||
\(795\) | 10.8601 | − | 18.8510i | 0.385168 | − | 0.668575i | ||||
\(796\) | −0.0446695 | − | 0.0897580i | −0.00158327 | − | 0.00318139i | ||||
\(797\) | 9.67827 | + | 29.7867i | 0.342822 | + | 1.05510i | 0.962739 | + | 0.270431i | \(0.0871661\pi\) |
−0.619917 | + | 0.784667i | \(0.712834\pi\) | |||||||
\(798\) | 1.57522 | + | 1.24588i | 0.0557621 | + | 0.0441036i | ||||
\(799\) | − | 21.8870i | − | 0.774306i | ||||||
\(800\) | −22.4716 | + | 17.1764i | −0.794491 | + | 0.607276i | ||||
\(801\) | 7.82115 | + | 1.82589i | 0.276347 | + | 0.0645145i | ||||
\(802\) | −10.5122 | − | 44.7172i | −0.371199 | − | 1.57902i | ||||
\(803\) | 13.7093 | − | 4.45441i | 0.483790 | − | 0.157193i | ||||
\(804\) | −12.1605 | + | 25.9454i | −0.428869 | + | 0.915023i | ||||
\(805\) | −0.300234 | + | 0.248587i | −0.0105819 | + | 0.00876152i | ||||
\(806\) | −4.47467 | − | 7.38013i | −0.157614 | − | 0.259954i | ||||
\(807\) | 23.2783 | + | 29.3387i | 0.819435 | + | 1.03277i | ||||
\(808\) | 7.36931 | + | 8.88049i | 0.259251 | + | 0.312415i | ||||
\(809\) | 8.53409 | + | 11.7462i | 0.300042 | + | 0.412973i | 0.932244 | − | 0.361831i | \(-0.117848\pi\) |
−0.632201 | + | 0.774804i | \(0.717848\pi\) | |||||||
\(810\) | 20.2745 | − | 19.9736i | 0.712373 | − | 0.701801i | ||||
\(811\) | 8.06450 | − | 11.0998i | 0.283183 | − | 0.389768i | −0.643602 | − | 0.765360i | \(-0.722561\pi\) |
0.926785 | + | 0.375593i | \(0.122561\pi\) | |||||||
\(812\) | 1.85728 | − | 1.82247i | 0.0651778 | − | 0.0639561i | ||||
\(813\) | −15.2303 | − | 4.24387i | −0.534150 | − | 0.148839i | ||||
\(814\) | −1.21544 | − | 5.17029i | −0.0426012 | − | 0.181219i | ||||
\(815\) | 26.8976 | − | 10.6625i | 0.942182 | − | 0.373492i | ||||
\(816\) | 0.473275 | + | 20.1481i | 0.0165679 | + | 0.705324i | ||||
\(817\) | 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 | ||||
\(820\) | −31.7403 | − | 28.4970i | −1.10842 | − | 0.995158i | ||||
\(821\) | 15.0819 | − | 4.90042i | 0.526363 | − | 0.171026i | −0.0337680 | − | 0.999430i | \(-0.510751\pi\) |
0.560131 | + | 0.828404i | \(0.310751\pi\) | |||||||
\(822\) | 6.88129 | − | 1.92889i | 0.240013 | − | 0.0672777i | ||||
\(823\) | −6.57043 | − | 4.77370i | −0.229031 | − | 0.166401i | 0.467352 | − | 0.884072i | \(-0.345208\pi\) |
−0.696382 | + | 0.717671i | \(0.745208\pi\) | |||||||
\(824\) | 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 | \(-0.796713\pi\) |
0.815044 | + | 0.579399i | \(0.196713\pi\) | |||||||
\(828\) | −6.92651 | + | 1.63957i | −0.240713 | + | 0.0569790i | ||||
\(829\) | −2.02773 | − | 6.24071i | −0.0704260 | − | 0.216749i | 0.909649 | − | 0.415379i | \(-0.136351\pi\) |
−0.980075 | + | 0.198630i | \(0.936351\pi\) | |||||||
\(830\) | −42.6100 | − | 14.7942i | −1.47901 | − | 0.513516i | ||||
\(831\) | 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 | ||||
\(834\) | −37.6404 | + | 25.0638i | −1.30338 | + | 0.867889i | ||||
\(835\) | −30.7855 | − | 19.5190i | −1.06538 | − | 0.675485i | ||||
\(836\) | −9.11295 | − | 4.75240i | −0.315178 | − | 0.164365i | ||||
\(837\) | 14.0552 | − | 25.6607i | 0.485818 | − | 0.886963i | ||||
\(838\) | 0.100552 | − | 1.20475i | 0.00347350 | − | 0.0416172i | ||||
\(839\) | 40.9785 | + | 29.7726i | 1.41473 | + | 1.02786i | 0.992613 | + | 0.121326i | \(0.0387146\pi\) |
0.422122 | + | 0.906539i | \(0.361285\pi\) | |||||||
\(840\) | 1.59296 | + | 0.231236i | 0.0549625 | + | 0.00797839i | ||||
\(841\) | 39.9629 | − | 29.0347i | 1.37803 | − | 1.00120i | ||||
\(842\) | 28.4105 | + | 46.8579i | 0.979092 | + | 1.61483i | ||||
\(843\) | −23.1913 | − | 29.2290i | −0.798750 | − | 1.00670i | ||||
\(844\) | 4.85554 | − | 28.8854i | 0.167135 | − | 0.994275i | ||||
\(845\) | 14.1590 | − | 22.3317i | 0.487086 | − | 0.768234i | ||||
\(846\) | −25.8543 | − | 18.7234i | −0.888889 | − | 0.643724i | ||||
\(847\) | −0.460967 | − | 1.41871i | −0.0158390 | − | 0.0487475i | ||||
\(848\) | 21.2341 | + | 7.34634i | 0.729181 | + | 0.252274i | ||||
\(849\) | 22.3858 | − | 17.7616i | 0.768278 | − | 0.609578i | ||||
\(850\) | −11.3598 | + | 17.1478i | −0.389639 | + | 0.588165i | ||||
\(851\) | 4.83771 | 0.165835 | ||||||||
\(852\) | 3.71392 | + | 19.3085i | 0.127237 | + | 0.661500i | ||||
\(853\) | 15.7001 | − | 5.10129i | 0.537563 | − | 0.174665i | −0.0276383 | − | 0.999618i | \(-0.508799\pi\) |
0.565201 | + | 0.824953i | \(0.308799\pi\) | |||||||
\(854\) | −0.721225 | − | 0.302746i | −0.0246798 | − | 0.0103597i | ||||
\(855\) | −6.18862 | + | 36.9157i | −0.211646 | + | 1.26249i | ||||
\(856\) | −21.5636 | − | 25.9855i | −0.737028 | − | 0.888165i | ||||
\(857\) | −15.7077 | −0.536563 | −0.268282 | − | 0.963341i | \(-0.586456\pi\) | ||||
−0.268282 | + | 0.963341i | \(0.586456\pi\) | |||||||
\(858\) | 0.849932 | − | 2.29258i | 0.0290162 | − | 0.0782674i | ||||
\(859\) | 22.3494 | + | 30.7613i | 0.762552 | + | 1.04956i | 0.996998 | + | 0.0774331i | \(0.0246724\pi\) |
−0.234446 | + | 0.972129i | \(0.575328\pi\) | |||||||
\(860\) | 20.5205 | − | 4.39244i | 0.699743 | − | 0.149781i | ||||
\(861\) | 0.102912 | + | 2.42537i | 0.00350722 | + | 0.0826562i | ||||
\(862\) | −3.95131 | + | 47.3421i | −0.134582 | + | 1.61248i | ||||
\(863\) | −14.8903 | − | 20.4948i | −0.506872 | − | 0.697650i | 0.476516 | − | 0.879166i | \(-0.341900\pi\) |
−0.983388 | + | 0.181516i | \(0.941900\pi\) | |||||||
\(864\) | 24.2051 | + | 16.6768i | 0.823473 | + | 0.567356i | ||||
\(865\) | −9.49385 | − | 11.4663i | −0.322801 | − | 0.389867i | ||||
\(866\) | 20.5306 | + | 1.71354i | 0.697657 | + | 0.0582285i | ||||
\(867\) | −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 | ||||
\(870\) | 46.4468 | + | 13.9500i | 1.57469 | + | 0.472951i | ||||
\(871\) | 8.52647 | − | 2.77042i | 0.288909 | − | 0.0938721i | ||||
\(872\) | 6.61426 | − | 25.9241i | 0.223987 | − | 0.877901i | ||||
\(873\) | 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 | ||||
\(876\) | 37.0554 | − | 39.5811i | 1.25198 | − | 1.33732i | ||||
\(877\) | 16.3612 | − | 22.5193i | 0.552479 | − | 0.760422i | −0.437867 | − | 0.899040i | \(-0.644266\pi\) |
0.990346 | + | 0.138618i | \(0.0442660\pi\) | |||||||
\(878\) | 11.9009 | − | 28.3513i | 0.401636 | − | 0.956809i | ||||
\(879\) | −10.1056 | − | 6.70659i | −0.340853 | − | 0.226208i | ||||
\(880\) | −8.22926 | + | 0.365037i | −0.277408 | + | 0.0123054i | ||||
\(881\) | 32.0168 | + | 10.4029i | 1.07867 | + | 0.350483i | 0.793860 | − | 0.608100i | \(-0.208068\pi\) |
0.284814 | + | 0.958583i | \(0.408068\pi\) | |||||||
\(882\) | 17.4394 | + | 23.9256i | 0.587215 | + | 0.805617i | ||||
\(883\) | −7.21451 | + | 22.2040i | −0.242787 | + | 0.747223i | 0.753205 | + | 0.657786i | \(0.228507\pi\) |
−0.995992 | + | 0.0894371i | \(0.971493\pi\) | |||||||
\(884\) | 4.50079 | − | 4.41643i | 0.151378 | − | 0.148541i | ||||
\(885\) | 40.3989 | + | 8.54754i | 1.35800 | + | 0.287322i | ||||
\(886\) | 2.60858 | + | 11.0965i | 0.0876368 | + | 0.372793i | ||||
\(887\) | −33.4163 | − | 45.9936i | −1.12201 | − | 1.54432i | −0.802420 | − | 0.596759i | \(-0.796455\pi\) |
−0.319590 | − | 0.947556i | \(-0.603545\pi\) | |||||||
\(888\) | −13.3978 | − | 14.8190i | −0.449602 | − | 0.497294i | ||||
\(889\) | −1.27864 | − | 0.928990i | −0.0428844 | − | 0.0311573i | ||||
\(890\) | −5.11224 | + | 6.74806i | −0.171363 | + | 0.226196i | ||||
\(891\) | 8.16971 | − | 1.39923i | 0.273696 | − | 0.0468758i | ||||
\(892\) | −57.9808 | − | 9.74639i | −1.94134 | − | 0.326333i | ||||
\(893\) | 41.9833 | 1.40492 | ||||||||
\(894\) | −0.248197 | + | 0.669480i | −0.00830096 | + | 0.0223908i | ||||
\(895\) | −1.64269 | − | 25.9368i | −0.0549092 | − | 0.866972i | ||||
\(896\) | 0.0754972 | + | 1.66073i | 0.00252219 | + | 0.0554812i | ||||
\(897\) | 1.85561 | + | 1.23148i | 0.0619570 | + | 0.0411179i | ||||
\(898\) | −9.05726 | − | 38.5282i | −0.302245 | − | 1.28570i | ||||
\(899\) | 49.8550 | 1.66276 | ||||||||
\(900\) | 10.5382 | + | 28.0882i | 0.351274 | + | 0.936273i | ||||
\(901\) | 16.3401 | 0.544369 | ||||||||
\(902\) | −2.84289 | − | 12.0932i | −0.0946578 | − | 0.402659i | ||||
\(903\) | −0.995080 | − | 0.660387i | −0.0331142 | − | 0.0219763i | ||||
\(904\) | 8.35689 | − | 32.7542i | 0.277946 | − | 1.08939i | ||||
\(905\) | 9.85551 | − | 15.5442i | 0.327608 | − | 0.516706i | ||||
\(906\) | −6.78832 | + | 18.3106i | −0.225527 | + | 0.608329i | ||||
\(907\) | −3.14640 | −0.104474 | −0.0522372 | − | 0.998635i | \(-0.516635\pi\) | ||||
−0.0522372 | + | 0.998635i | \(0.516635\pi\) | |||||||
\(908\) | −3.18583 | + | 18.9524i | −0.105726 | + | 0.628956i | ||||
\(909\) | 11.2786 | − | 4.75486i | 0.374088 | − | 0.157709i | ||||
\(910\) | −0.287812 | − | 0.413292i | −0.00954089 | − | 0.0137005i | ||||
\(911\) | 30.4421 | + | 22.1175i | 1.00859 | + | 0.732784i | 0.963913 | − | 0.266218i | \(-0.0857740\pi\) |
0.0446775 | + | 0.999001i | \(0.485774\pi\) | |||||||
\(912\) | −38.6478 | + | 0.907829i | −1.27976 | + | 0.0300612i | ||||
\(913\) | −7.72125 | − | 10.6274i | −0.255536 | − | 0.351715i | ||||
\(914\) | 3.91989 | + | 16.6746i | 0.129658 | + | 0.551546i | ||||
\(915\) | −1.53739 | − | 14.4967i | −0.0508246 | − | 0.479248i | ||||
\(916\) | 11.6867 | + | 11.9099i | 0.386139 | + | 0.393514i | ||||
\(917\) | −0.319696 | + | 0.983923i | −0.0105573 | + | 0.0324920i | ||||
\(918\) | 20.6005 | + | 5.70604i | 0.679918 | + | 0.188328i | ||||
\(919\) | −28.5095 | − | 9.26329i | −0.940441 | − | 0.305568i | −0.201615 | − | 0.979465i | \(-0.564619\pi\) |
−0.738825 | + | 0.673897i | \(0.764619\pi\) | |||||||
\(920\) | 1.39164 | − | 7.37275i | 0.0458811 | − | 0.243072i | ||||
\(921\) | 9.56634 | + | 6.34872i | 0.315222 | + | 0.209197i | ||||
\(922\) | 2.12000 | − | 5.05044i | 0.0698186 | − | 0.166327i | ||||
\(923\) | 3.61608 | − | 4.97710i | 0.119025 | − | 0.163823i | ||||
\(924\) | 0.342222 | + | 0.320384i | 0.0112583 | + | 0.0105399i | ||||
\(925\) | −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 | ||||
\(928\) | −5.10950 | + | 49.8256i | −0.167728 | + | 1.63561i | ||||
\(929\) | 26.9945 | − | 8.77105i | 0.885661 | − | 0.287769i | 0.169355 | − | 0.985555i | \(-0.445832\pi\) |
0.716306 | + | 0.697786i | \(0.245832\pi\) | |||||||
\(930\) | 18.6815 | + | 24.5384i | 0.612591 | + | 0.804646i | ||||
\(931\) | −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 | ||||
\(934\) | 12.6881 | + | 1.05899i | 0.415167 | + | 0.0346511i | ||||
\(935\) | −5.56887 | + | 2.20756i | −0.182121 | + | 0.0721951i | ||||
\(936\) | −1.36673 | − | 9.09469i | −0.0446729 | − | 0.297269i | ||||
\(937\) | 14.5315 | + | 20.0010i | 0.474725 | + | 0.653403i | 0.977480 | − | 0.211026i | \(-0.0676804\pi\) |
−0.502756 | + | 0.864429i | \(0.667680\pi\) | |||||||
\(938\) | −0.142967 | + | 1.71294i | −0.00466805 | + | 0.0559296i | ||||
\(939\) | −2.02673 | − | 47.7647i | −0.0661397 | − | 1.55874i | ||||
\(940\) | 29.1165 | − | 16.8660i | 0.949677 | − | 0.550108i | ||||
\(941\) | 21.7073 | + | 29.8776i | 0.707639 | + | 0.973981i | 0.999845 | + | 0.0176258i | \(0.00561076\pi\) |
−0.292206 | + | 0.956355i | \(0.594389\pi\) | |||||||
\(942\) | 13.3994 | − | 36.1431i | 0.436575 | − | 1.17761i | ||||
\(943\) | 11.3153 | 0.368476 | ||||||||
\(944\) | −0.806865 | + | 42.6399i | −0.0262612 | + | 1.38781i | ||||
\(945\) | 0.723885 | − | 1.54624i | 0.0235480 | − | 0.0502993i | ||||
\(946\) | 5.63530 | + | 2.36551i | 0.183219 | + | 0.0769093i | ||||
\(947\) | 42.9361 | − | 13.9508i | 1.39524 | − | 0.453340i | 0.487588 | − | 0.873074i | \(-0.337877\pi\) |
0.907647 | + | 0.419734i | \(0.137877\pi\) | |||||||
\(948\) | 53.0290 | − | 10.1999i | 1.72230 | − | 0.331278i | ||||
\(949\) | −16.9643 | −0.550686 | ||||||||
\(950\) | −32.8927 | − | 21.7903i | −1.06718 | − | 0.706970i | ||||
\(951\) | −26.9846 | + | 21.4105i | −0.875034 | + | 0.694282i | ||||
\(952\) | 0.446763 | + | 1.12341i | 0.0144797 | + | 0.0364099i | ||||
\(953\) | −1.49850 | − | 4.61190i | −0.0485411 | − | 0.149394i | 0.923848 | − | 0.382759i | \(-0.125026\pi\) |
−0.972389 | + | 0.233365i | \(0.925026\pi\) | |||||||
\(954\) | 13.9783 | − | 19.3020i | 0.452565 | − | 0.624926i | ||||
\(955\) | −2.93317 | + | 1.16274i | −0.0949153 | + | 0.0376255i | ||||
\(956\) | −35.7452 | − | 6.00866i | −1.15608 | − | 0.194334i | ||||
\(957\) | 8.77872 | + | 11.0642i | 0.283776 | + | 0.357655i | ||||
\(958\) | −22.3470 | − | 36.8573i | −0.722000 | − | 1.19080i | ||||
\(959\) | 0.346833 | − | 0.251989i | 0.0111998 | − | 0.00813714i | ||||
\(960\) | −26.4385 | + | 16.1556i | −0.853300 | + | 0.521420i | ||||
\(961\) | 0.569884 | + | 0.414045i | 0.0183834 | + | 0.0133563i | ||||
\(962\) | −0.519889 | + | 6.22898i | −0.0167619 | + | 0.200830i | ||||
\(963\) | −33.0027 | + | 13.9133i | −1.06350 | + | 0.448351i | ||||
\(964\) | −26.0546 | + | 49.9610i | −0.839163 | + | 1.60913i | ||||
\(965\) | −3.89431 | + | 15.1937i | −0.125362 | + | 0.489103i | ||||
\(966\) | −0.355409 | + | 0.236658i | −0.0114351 | + | 0.00761435i | ||||
\(967\) | 5.71454 | − | 17.5876i | 0.183767 | − | 0.565578i | −0.816158 | − | 0.577829i | \(-0.803900\pi\) |
0.999925 | + | 0.0122516i | \(0.00389990\pi\) | |||||||
\(968\) | 24.2671 | + | 15.3488i | 0.779974 | + | 0.493328i | ||||
\(969\) | −26.3453 | + | 9.81328i | −0.846334 | + | 0.315248i | ||||
\(970\) | −16.0239 | + | 4.85406i | −0.514497 | + | 0.155855i | ||||
\(971\) | 8.55481 | + | 26.3290i | 0.274537 | + | 0.844938i | 0.989342 | + | 0.145613i | \(0.0465156\pi\) |
−0.714805 | + | 0.699324i | \(0.753484\pi\) | |||||||
\(972\) | 24.3632 | − | 19.4534i | 0.781451 | − | 0.623967i | ||||
\(973\) | −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 | 0.882974 | − | 0.469422i | \(-0.155538\pi\) |
−0.173593 | + | 0.984817i | \(0.555538\pi\) | |||||||
\(978\) | 30.5192 | − | 8.55480i | 0.975896 | − | 0.273552i | ||||
\(979\) | −2.34489 | + | 0.761899i | −0.0749429 | + | 0.0243504i | ||||
\(980\) | −30.5171 | + | 6.53223i | −0.974833 | + | 0.208664i | ||||
\(981\) | −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 | \(-0.509784\pi\) |
−0.612370 | + | 0.790571i | \(0.709784\pi\) | |||||||
\(984\) | −31.3372 | − | 34.6613i | −0.998993 | − | 1.10496i | ||||
\(985\) | 2.87459 | + | 45.3874i | 0.0915919 | + | 1.44616i | ||||
\(986\) | 8.33557 | + | 35.4582i | 0.265459 | + | 1.12922i | ||||
\(987\) | −1.84467 | − | 0.514012i | −0.0587166 | − | 0.0163612i | ||||
\(988\) | 8.47153 | + | 8.63336i | 0.269515 | + | 0.274664i | ||||
\(989\) | −3.27206 | + | 4.50360i | −0.104045 | + | 0.143206i | ||||
\(990\) | −2.15622 | + | 8.46678i | −0.0685291 | + | 0.269092i | ||||
\(991\) | 14.7116 | + | 20.2488i | 0.467330 | + | 0.643224i | 0.976009 | − | 0.217732i | \(-0.0698659\pi\) |
−0.508679 | + | 0.860956i | \(0.669866\pi\) | |||||||
\(992\) | −21.2531 | + | 23.7244i | −0.674787 | + | 0.753250i | ||||
\(993\) | −15.6601 | − | 19.7371i | −0.496957 | − | 0.626337i | ||||
\(994\) | 0.611534 | + | 1.00861i | 0.0193967 | + | 0.0319912i | ||||
\(995\) | 0.0278310 | − | 0.108583i | 0.000882301 | − | 0.00344231i | ||||
\(996\) | −44.7399 | − | 20.9695i | −1.41764 | − | 0.664443i | ||||
\(997\) | −33.8647 | + | 11.0033i | −1.07250 | + | 0.348478i | −0.791463 | − | 0.611218i | \(-0.790680\pi\) |
−0.281042 | + | 0.959695i | \(0.590680\pi\) | |||||||
\(998\) | 4.25676 | + | 18.1076i | 0.134745 | + | 0.573185i | ||||
\(999\) | −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.59.5 | ✓ | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.59.52 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.59.27 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.59.30 | yes | 224 | |
25.14 | even | 10 | inner | 300.2.r.a.239.30 | yes | 224 | |
75.14 | odd | 10 | inner | 300.2.r.a.239.27 | yes | 224 | |
100.39 | odd | 10 | inner | 300.2.r.a.239.52 | yes | 224 | |
300.239 | even | 10 | inner | 300.2.r.a.239.5 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.59.5 | ✓ | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.59.27 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.59.30 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.59.52 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.239.5 | yes | 224 | 300.239 | even | 10 | inner | |
300.2.r.a.239.27 | yes | 224 | 75.14 | odd | 10 | inner | |
300.2.r.a.239.30 | yes | 224 | 25.14 | even | 10 | inner | |
300.2.r.a.239.52 | yes | 224 | 100.39 | odd | 10 | inner |