Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [44,2,Mod(7,44)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(44, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([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("44.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 44 = 2^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 44.g (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: | \(0.351341768894\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 5 x^{15} + 13 x^{14} - 25 x^{13} + 35 x^{12} - 30 x^{11} - 2 x^{10} + 60 x^{9} - 116 x^{8} + \cdots + 256 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 39.4 | ||
Root | \(-0.204982 + 1.39928i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 44.39 |
Dual form | 44.2.g.a.35.4 |
$q$-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 \(\left(\mathbb{Z}/44\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{9}{10}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.204982 | + | 1.39928i | 0.144944 | + | 0.989440i | ||||
\(3\) | −0.539857 | + | 0.743049i | −0.311686 | + | 0.428999i | −0.935906 | − | 0.352249i | \(-0.885417\pi\) |
0.624220 | + | 0.781249i | \(0.285417\pi\) | |||||||
\(4\) | −1.91596 | + | 0.573655i | −0.957982 | + | 0.286827i | ||||
\(5\) | 0.529876 | − | 1.63079i | 0.236968 | − | 0.729312i | −0.759886 | − | 0.650056i | \(-0.774746\pi\) |
0.996854 | − | 0.0792561i | \(-0.0252545\pi\) | |||||||
\(6\) | −1.15039 | − | 0.603098i | −0.469646 | − | 0.246214i | ||||
\(7\) | 1.93399 | − | 1.40513i | 0.730981 | − | 0.531089i | −0.158893 | − | 0.987296i | \(-0.550792\pi\) |
0.889874 | + | 0.456207i | \(0.150792\pi\) | |||||||
\(8\) | −1.19544 | − | 2.56338i | −0.422652 | − | 0.906292i | ||||
\(9\) | 0.666375 | + | 2.05089i | 0.222125 | + | 0.683630i | ||||
\(10\) | 2.39055 | + | 0.407162i | 0.755957 | + | 0.128756i | ||||
\(11\) | −2.65349 | − | 1.98973i | −0.800056 | − | 0.599925i | ||||
\(12\) | 0.608093 | − | 1.73335i | 0.175541 | − | 0.500374i | ||||
\(13\) | −1.52988 | + | 0.497087i | −0.424311 | + | 0.137867i | −0.513386 | − | 0.858158i | \(-0.671609\pi\) |
0.0890746 | + | 0.996025i | \(0.471609\pi\) | |||||||
\(14\) | 2.36260 | + | 2.41817i | 0.631432 | + | 0.646283i | ||||
\(15\) | 0.925700 | + | 1.27412i | 0.239015 | + | 0.328976i | ||||
\(16\) | 3.34184 | − | 2.19820i | 0.835460 | − | 0.549551i | ||||
\(17\) | −5.74986 | − | 1.86824i | −1.39455 | − | 0.453115i | −0.487123 | − | 0.873334i | \(-0.661954\pi\) |
−0.907423 | + | 0.420218i | \(0.861954\pi\) | |||||||
\(18\) | −2.73317 | + | 1.35284i | −0.644215 | + | 0.318867i | ||||
\(19\) | 1.07237 | + | 0.779122i | 0.246018 | + | 0.178743i | 0.703960 | − | 0.710239i | \(-0.251413\pi\) |
−0.457942 | + | 0.888982i | \(0.651413\pi\) | |||||||
\(20\) | −0.0797132 | + | 3.42850i | −0.0178244 | + | 0.766637i | ||||
\(21\) | 2.19562i | 0.479123i | ||||||||
\(22\) | 2.24026 | − | 4.12083i | 0.477626 | − | 0.878563i | ||||
\(23\) | 7.25726i | 1.51324i | 0.653853 | + | 0.756622i | \(0.273152\pi\) | ||||
−0.653853 | + | 0.756622i | \(0.726848\pi\) | |||||||
\(24\) | 2.55008 | + | 0.495586i | 0.520534 | + | 0.101161i | ||||
\(25\) | 1.66637 | + | 1.21069i | 0.333275 | + | 0.242138i | ||||
\(26\) | −1.00916 | − | 2.03883i | −0.197913 | − | 0.399847i | ||||
\(27\) | −4.50418 | − | 1.46350i | −0.866829 | − | 0.281650i | ||||
\(28\) | −2.89940 | + | 3.80162i | −0.547936 | + | 0.718439i | ||||
\(29\) | −0.318958 | − | 0.439008i | −0.0592291 | − | 0.0815218i | 0.778375 | − | 0.627800i | \(-0.216044\pi\) |
−0.837604 | + | 0.546278i | \(0.816044\pi\) | |||||||
\(30\) | −1.59309 | + | 1.55648i | −0.290858 | + | 0.284174i | ||||
\(31\) | 7.82777 | − | 2.54340i | 1.40591 | − | 0.456807i | 0.494812 | − | 0.869000i | \(-0.335237\pi\) |
0.911097 | + | 0.412193i | \(0.135237\pi\) | |||||||
\(32\) | 3.76092 | + | 4.22558i | 0.664843 | + | 0.746983i | ||||
\(33\) | 2.91097 | − | 0.897503i | 0.506734 | − | 0.156235i | ||||
\(34\) | 1.43557 | − | 8.42861i | 0.246199 | − | 1.44550i | ||||
\(35\) | −1.26669 | − | 3.89848i | −0.214110 | − | 0.658964i | ||||
\(36\) | −2.45325 | − | 3.54716i | −0.408875 | − | 0.591194i | ||||
\(37\) | −0.299076 | + | 0.217291i | −0.0491678 | + | 0.0357225i | −0.612098 | − | 0.790782i | \(-0.709674\pi\) |
0.562930 | + | 0.826505i | \(0.309674\pi\) | |||||||
\(38\) | −0.870393 | + | 1.66025i | −0.141196 | + | 0.269328i | ||||
\(39\) | 0.456554 | − | 1.40513i | 0.0731071 | − | 0.225001i | ||||
\(40\) | −4.81377 | + | 0.591241i | −0.761124 | + | 0.0934834i | ||||
\(41\) | 2.99295 | − | 4.11944i | 0.467420 | − | 0.643348i | −0.508607 | − | 0.860999i | \(-0.669839\pi\) |
0.976027 | + | 0.217651i | \(0.0698393\pi\) | |||||||
\(42\) | −3.07228 | + | 0.450063i | −0.474064 | + | 0.0694462i | ||||
\(43\) | −9.45922 | −1.44252 | −0.721259 | − | 0.692666i | \(-0.756436\pi\) | ||||
−0.721259 | + | 0.692666i | \(0.756436\pi\) | |||||||
\(44\) | 6.22540 | + | 2.29006i | 0.938515 | + | 0.345240i | ||||
\(45\) | 3.69767 | 0.551216 | ||||||||
\(46\) | −10.1549 | + | 1.48761i | −1.49726 | + | 0.219336i | ||||
\(47\) | 2.35548 | − | 3.24205i | 0.343583 | − | 0.472901i | −0.601901 | − | 0.798571i | \(-0.705590\pi\) |
0.945484 | + | 0.325670i | \(0.105590\pi\) | |||||||
\(48\) | −0.170742 | + | 3.66987i | −0.0246445 | + | 0.529699i | ||||
\(49\) | −0.397175 | + | 1.22238i | −0.0567393 | + | 0.174626i | ||||
\(50\) | −1.35252 | + | 2.57989i | −0.191275 | + | 0.364852i | ||||
\(51\) | 4.49229 | − | 3.26384i | 0.629047 | − | 0.457029i | ||||
\(52\) | 2.64603 | − | 1.83002i | 0.366939 | − | 0.253778i | ||||
\(53\) | −0.765944 | − | 2.35733i | −0.105211 | − | 0.323805i | 0.884569 | − | 0.466409i | \(-0.154452\pi\) |
−0.989780 | + | 0.142604i | \(0.954452\pi\) | |||||||
\(54\) | 1.12456 | − | 6.60259i | 0.153034 | − | 0.898499i | ||||
\(55\) | −4.65085 | + | 3.27297i | −0.627120 | + | 0.441328i | ||||
\(56\) | −5.91385 | − | 3.27781i | −0.790272 | − | 0.438016i | ||||
\(57\) | −1.15785 | + | 0.376209i | −0.153361 | + | 0.0498301i | ||||
\(58\) | 0.548915 | − | 0.536301i | 0.0720760 | − | 0.0704197i | ||||
\(59\) | 4.14490 | + | 5.70497i | 0.539620 | + | 0.742724i | 0.988558 | − | 0.150839i | \(-0.0481975\pi\) |
−0.448938 | + | 0.893563i | \(0.648198\pi\) | |||||||
\(60\) | −2.50451 | − | 1.91013i | −0.323331 | − | 0.246597i | ||||
\(61\) | 9.41156 | + | 3.05800i | 1.20503 | + | 0.391537i | 0.841608 | − | 0.540089i | \(-0.181609\pi\) |
0.363419 | + | 0.931626i | \(0.381609\pi\) | |||||||
\(62\) | 5.16347 | + | 10.4319i | 0.655762 | + | 1.32485i | ||||
\(63\) | 4.17053 | + | 3.03007i | 0.525437 | + | 0.381752i | ||||
\(64\) | −5.14184 | + | 6.12874i | −0.642730 | + | 0.766093i | ||||
\(65\) | 2.75830i | 0.342125i | ||||||||
\(66\) | 1.85255 | + | 3.88928i | 0.228034 | + | 0.478737i | ||||
\(67\) | 4.79085i | 0.585296i | 0.956220 | + | 0.292648i | \(0.0945364\pi\) | ||||
−0.956220 | + | 0.292648i | \(0.905464\pi\) | |||||||
\(68\) | 12.0883 | + | 0.281053i | 1.46592 | + | 0.0340827i | ||||
\(69\) | −5.39250 | − | 3.91788i | −0.649181 | − | 0.471658i | ||||
\(70\) | 5.19542 | − | 2.57158i | 0.620971 | − | 0.307362i | ||||
\(71\) | −3.34001 | − | 1.08524i | −0.396387 | − | 0.128794i | 0.104039 | − | 0.994573i | \(-0.466823\pi\) |
−0.500426 | + | 0.865779i | \(0.666823\pi\) | |||||||
\(72\) | 4.46060 | − | 4.15989i | 0.525687 | − | 0.490248i | ||||
\(73\) | −1.23553 | − | 1.70056i | −0.144607 | − | 0.199035i | 0.730569 | − | 0.682839i | \(-0.239255\pi\) |
−0.875177 | + | 0.483804i | \(0.839255\pi\) | |||||||
\(74\) | −0.365356 | − | 0.373950i | −0.0424718 | − | 0.0434708i | ||||
\(75\) | −1.79921 | + | 0.584598i | −0.207754 | + | 0.0675035i | ||||
\(76\) | −2.50157 | − | 0.877601i | −0.286950 | − | 0.100668i | ||||
\(77\) | −7.92764 | − | 0.119627i | −0.903439 | − | 0.0136328i | ||||
\(78\) | 2.05975 | + | 0.350820i | 0.233221 | + | 0.0397226i | ||||
\(79\) | −0.797547 | − | 2.45460i | −0.0897311 | − | 0.276164i | 0.896114 | − | 0.443825i | \(-0.146379\pi\) |
−0.985845 | + | 0.167661i | \(0.946379\pi\) | |||||||
\(80\) | −1.81405 | − | 6.61462i | −0.202817 | − | 0.739537i | ||||
\(81\) | −1.71472 | + | 1.24581i | −0.190524 | + | 0.138424i | ||||
\(82\) | 6.37775 | + | 3.34356i | 0.704304 | + | 0.369234i | ||||
\(83\) | 1.22709 | − | 3.77660i | 0.134691 | − | 0.414536i | −0.860851 | − | 0.508857i | \(-0.830068\pi\) |
0.995542 | + | 0.0943213i | \(0.0300681\pi\) | |||||||
\(84\) | −1.25953 | − | 4.20673i | −0.137426 | − | 0.458992i | ||||
\(85\) | −6.09343 | + | 8.38688i | −0.660925 | + | 0.909685i | ||||
\(86\) | −1.93897 | − | 13.2361i | −0.209085 | − | 1.42728i | ||||
\(87\) | 0.498396 | 0.0534337 | ||||||||
\(88\) | −1.92834 | + | 9.18050i | −0.205561 | + | 0.978644i | ||||
\(89\) | −8.45225 | −0.895937 | −0.447969 | − | 0.894049i | \(-0.647852\pi\) | ||||
−0.447969 | + | 0.894049i | \(0.647852\pi\) | |||||||
\(90\) | 0.757956 | + | 5.17407i | 0.0798956 | + | 0.545395i | ||||
\(91\) | −2.26030 | + | 3.11103i | −0.236944 | + | 0.326125i | ||||
\(92\) | −4.16316 | − | 13.9047i | −0.434040 | − | 1.44966i | ||||
\(93\) | −2.33600 | + | 7.18948i | −0.242232 | + | 0.745515i | ||||
\(94\) | 5.01936 | + | 2.63142i | 0.517707 | + | 0.271410i | ||||
\(95\) | 1.83881 | − | 1.33597i | 0.188658 | − | 0.137068i | ||||
\(96\) | −5.17017 | + | 0.513341i | −0.527678 | + | 0.0523927i | ||||
\(97\) | −2.57295 | − | 7.91872i | −0.261243 | − | 0.804024i | −0.992535 | − | 0.121960i | \(-0.961082\pi\) |
0.731292 | − | 0.682065i | \(-0.238918\pi\) | |||||||
\(98\) | −1.79186 | − | 0.305193i | −0.181005 | − | 0.0308291i | ||||
\(99\) | 2.31249 | − | 6.76791i | 0.232414 | − | 0.680201i | ||||
\(100\) | −3.88723 | − | 1.36372i | −0.388723 | − | 0.136372i | ||||
\(101\) | 8.58788 | − | 2.79037i | 0.854526 | − | 0.277652i | 0.151185 | − | 0.988505i | \(-0.451691\pi\) |
0.703340 | + | 0.710853i | \(0.251691\pi\) | |||||||
\(102\) | 5.48787 | + | 5.61694i | 0.543380 | + | 0.556160i | ||||
\(103\) | −5.28660 | − | 7.27638i | −0.520904 | − | 0.716963i | 0.464806 | − | 0.885412i | \(-0.346124\pi\) |
−0.985710 | + | 0.168450i | \(0.946124\pi\) | |||||||
\(104\) | 3.10310 | + | 3.32742i | 0.304284 | + | 0.326280i | ||||
\(105\) | 3.58060 | + | 1.16341i | 0.349430 | + | 0.113537i | ||||
\(106\) | 3.14156 | − | 1.55498i | 0.305136 | − | 0.151033i | ||||
\(107\) | 2.49422 | + | 1.81216i | 0.241126 | + | 0.175188i | 0.701785 | − | 0.712389i | \(-0.252387\pi\) |
−0.460659 | + | 0.887577i | \(0.652387\pi\) | |||||||
\(108\) | 9.46938 | + | 0.220164i | 0.911192 | + | 0.0211853i | ||||
\(109\) | − | 9.68863i | − | 0.928002i | −0.885835 | − | 0.464001i | \(-0.846413\pi\) | ||
0.885835 | − | 0.464001i | \(-0.153587\pi\) | |||||||
\(110\) | −5.53314 | − | 5.83693i | −0.527565 | − | 0.556530i | ||||
\(111\) | − | 0.339534i | − | 0.0322271i | ||||||
\(112\) | 3.37434 | − | 8.94703i | 0.318845 | − | 0.845415i | ||||
\(113\) | 8.70152 | + | 6.32202i | 0.818570 | + | 0.594726i | 0.916303 | − | 0.400487i | \(-0.131159\pi\) |
−0.0977325 | + | 0.995213i | \(0.531159\pi\) | |||||||
\(114\) | −0.763760 | − | 1.54304i | −0.0715327 | − | 0.144519i | ||||
\(115\) | 11.8351 | + | 3.84545i | 1.10363 | + | 0.358590i | ||||
\(116\) | 0.862952 | + | 0.658153i | 0.0801231 | + | 0.0611079i | ||||
\(117\) | −2.03894 | − | 2.80636i | −0.188500 | − | 0.259448i | ||||
\(118\) | −7.13321 | + | 6.96929i | −0.656666 | + | 0.641576i | ||||
\(119\) | −13.7453 | + | 4.46612i | −1.26003 | + | 0.409409i | ||||
\(120\) | 2.15943 | − | 3.89605i | 0.197128 | − | 0.355659i | ||||
\(121\) | 3.08198 | + | 10.5594i | 0.280180 | + | 0.959947i | ||||
\(122\) | −2.34980 | + | 13.7962i | −0.212740 | + | 1.24905i | ||||
\(123\) | 1.44518 | + | 4.44781i | 0.130308 | + | 0.401046i | ||||
\(124\) | −13.5387 | + | 9.36349i | −1.21581 | + | 0.840866i | ||||
\(125\) | 9.79353 | − | 7.11541i | 0.875960 | − | 0.636422i | ||||
\(126\) | −3.38502 | + | 6.45684i | −0.301562 | + | 0.575221i | ||||
\(127\) | 0.100873 | − | 0.310454i | 0.00895101 | − | 0.0275484i | −0.946481 | − | 0.322759i | \(-0.895390\pi\) |
0.955432 | + | 0.295210i | \(0.0953897\pi\) | |||||||
\(128\) | −9.62981 | − | 5.93859i | −0.851163 | − | 0.524902i | ||||
\(129\) | 5.10662 | − | 7.02866i | 0.449613 | − | 0.618839i | ||||
\(130\) | −3.85964 | + | 0.565403i | −0.338512 | + | 0.0495891i | ||||
\(131\) | 10.8360 | 0.946745 | 0.473372 | − | 0.880862i | \(-0.343037\pi\) | ||||
0.473372 | + | 0.880862i | \(0.343037\pi\) | |||||||
\(132\) | −5.06245 | + | 3.38947i | −0.440630 | + | 0.295016i | ||||
\(133\) | 3.16872 | 0.274763 | ||||||||
\(134\) | −6.70374 | + | 0.982039i | −0.579115 | + | 0.0848353i | ||||
\(135\) | −4.77331 | + | 6.56990i | −0.410821 | + | 0.565447i | ||||
\(136\) | 2.08460 | + | 16.9725i | 0.178753 | + | 1.45538i | ||||
\(137\) | −0.390122 | + | 1.20067i | −0.0333304 | + | 0.102580i | −0.966338 | − | 0.257277i | \(-0.917175\pi\) |
0.933007 | + | 0.359857i | \(0.117175\pi\) | |||||||
\(138\) | 4.37684 | − | 8.34871i | 0.372582 | − | 0.710689i | ||||
\(139\) | −8.13031 | + | 5.90702i | −0.689604 | + | 0.501026i | −0.876530 | − | 0.481347i | \(-0.840148\pi\) |
0.186926 | + | 0.982374i | \(0.440148\pi\) | |||||||
\(140\) | 4.66332 | + | 6.74271i | 0.394123 | + | 0.569863i | ||||
\(141\) | 1.13737 | + | 3.50048i | 0.0957842 | + | 0.294794i | ||||
\(142\) | 0.833905 | − | 4.89606i | 0.0699797 | − | 0.410869i | ||||
\(143\) | 5.04857 | + | 1.72502i | 0.422183 | + | 0.144253i | ||||
\(144\) | 6.73519 | + | 5.38892i | 0.561266 | + | 0.449077i | ||||
\(145\) | −0.884939 | + | 0.287534i | −0.0734902 | + | 0.0238784i | ||||
\(146\) | 2.12629 | − | 2.07743i | 0.175973 | − | 0.171929i | ||||
\(147\) | −0.693870 | − | 0.955029i | −0.0572294 | − | 0.0787695i | ||||
\(148\) | 0.448368 | − | 0.587889i | 0.0368557 | − | 0.0483241i | ||||
\(149\) | 2.24743 | + | 0.730233i | 0.184116 | + | 0.0598230i | 0.399624 | − | 0.916679i | \(-0.369141\pi\) |
−0.215508 | + | 0.976502i | \(0.569141\pi\) | |||||||
\(150\) | −1.18682 | − | 2.39776i | −0.0969035 | − | 0.195776i | ||||
\(151\) | −15.4539 | − | 11.2279i | −1.25762 | − | 0.913713i | −0.258980 | − | 0.965883i | \(-0.583386\pi\) |
−0.998638 | + | 0.0521699i | \(0.983386\pi\) | |||||||
\(152\) | 0.715231 | − | 3.68029i | 0.0580129 | − | 0.298511i | ||||
\(153\) | − | 13.0373i | − | 1.05400i | ||||||
\(154\) | −1.45763 | − | 11.1175i | −0.117459 | − | 0.895875i | ||||
\(155\) | − | 14.1131i | − | 1.13359i | ||||||
\(156\) | −0.0686828 | + | 2.95408i | −0.00549902 | + | 0.236516i | ||||
\(157\) | −7.93699 | − | 5.76656i | −0.633441 | − | 0.460222i | 0.224150 | − | 0.974555i | \(-0.428040\pi\) |
−0.857591 | + | 0.514333i | \(0.828040\pi\) | |||||||
\(158\) | 3.27119 | − | 1.61914i | 0.260242 | − | 0.128812i | ||||
\(159\) | 2.16511 | + | 0.703488i | 0.171705 | + | 0.0557902i | ||||
\(160\) | 8.88385 | − | 3.89424i | 0.702330 | − | 0.307867i | ||||
\(161\) | 10.1974 | + | 14.0355i | 0.803667 | + | 1.10615i | ||||
\(162\) | −2.09473 | − | 2.14400i | −0.164577 | − | 0.168448i | ||||
\(163\) | 13.5498 | − | 4.40261i | 1.06130 | − | 0.344839i | 0.274209 | − | 0.961670i | \(-0.411584\pi\) |
0.787096 | + | 0.616831i | \(0.211584\pi\) | |||||||
\(164\) | −3.37125 | + | 9.60962i | −0.263250 | + | 0.750385i | ||||
\(165\) | 0.0788107 | − | 5.22274i | 0.00613540 | − | 0.406590i | ||||
\(166\) | 5.53605 | + | 0.942909i | 0.429681 | + | 0.0731839i | ||||
\(167\) | −0.0216699 | − | 0.0666932i | −0.00167687 | − | 0.00516088i | 0.950215 | − | 0.311596i | \(-0.100864\pi\) |
−0.951891 | + | 0.306435i | \(0.900864\pi\) | |||||||
\(168\) | 5.62821 | − | 2.62473i | 0.434226 | − | 0.202503i | ||||
\(169\) | −8.42380 | + | 6.12025i | −0.647984 | + | 0.470788i | ||||
\(170\) | −12.9846 | − | 6.80724i | −0.995876 | − | 0.522092i | ||||
\(171\) | −0.883294 | + | 2.71850i | −0.0675472 | + | 0.207889i | ||||
\(172\) | 18.1235 | − | 5.42633i | 1.38191 | − | 0.413753i | ||||
\(173\) | −11.6546 | + | 16.0412i | −0.886086 | + | 1.21959i | 0.0886112 | + | 0.996066i | \(0.471757\pi\) |
−0.974698 | + | 0.223527i | \(0.928243\pi\) | |||||||
\(174\) | 0.102162 | + | 0.697396i | 0.00774491 | + | 0.0528694i | ||||
\(175\) | 4.92393 | 0.372214 | ||||||||
\(176\) | −13.2414 | − | 0.816443i | −0.998105 | − | 0.0615417i | ||||
\(177\) | −6.47672 | −0.486820 | ||||||||
\(178\) | −1.73256 | − | 11.8271i | −0.129861 | − | 0.886476i | ||||
\(179\) | 2.02535 | − | 2.78765i | 0.151382 | − | 0.208359i | −0.726590 | − | 0.687071i | \(-0.758896\pi\) |
0.877972 | + | 0.478712i | \(0.158896\pi\) | |||||||
\(180\) | −7.08460 | + | 2.12118i | −0.528055 | + | 0.158104i | ||||
\(181\) | 4.87022 | − | 14.9890i | 0.362001 | − | 1.11412i | −0.589837 | − | 0.807522i | \(-0.700808\pi\) |
0.951838 | − | 0.306601i | \(-0.0991918\pi\) | |||||||
\(182\) | −4.81653 | − | 2.52508i | −0.357025 | − | 0.187172i | ||||
\(183\) | −7.35314 | + | 5.34237i | −0.543560 | + | 0.394919i | ||||
\(184\) | 18.6031 | − | 8.67563i | 1.37144 | − | 0.639576i | ||||
\(185\) | 0.195884 | + | 0.602867i | 0.0144016 | + | 0.0443237i | ||||
\(186\) | −10.5389 | − | 1.79501i | −0.772752 | − | 0.131616i | ||||
\(187\) | 11.5399 | + | 16.3980i | 0.843880 | + | 1.19914i | ||||
\(188\) | −2.65321 | + | 7.56288i | −0.193505 | + | 0.551580i | ||||
\(189\) | −10.7674 | + | 3.49856i | −0.783217 | + | 0.254482i | ||||
\(190\) | 2.24632 | + | 2.29916i | 0.162965 | + | 0.166798i | ||||
\(191\) | −4.18731 | − | 5.76334i | −0.302983 | − | 0.417020i | 0.630194 | − | 0.776438i | \(-0.282975\pi\) |
−0.933177 | + | 0.359417i | \(0.882975\pi\) | |||||||
\(192\) | −1.77810 | − | 7.12928i | −0.128323 | − | 0.514511i | ||||
\(193\) | −16.0372 | − | 5.21080i | −1.15438 | − | 0.375081i | −0.331590 | − | 0.943424i | \(-0.607585\pi\) |
−0.822792 | + | 0.568342i | \(0.807585\pi\) | |||||||
\(194\) | 10.5531 | − | 5.22347i | 0.757668 | − | 0.375023i | ||||
\(195\) | −2.04955 | − | 1.48909i | −0.146772 | − | 0.106636i | ||||
\(196\) | 0.0597499 | − | 2.56988i | 0.00426785 | − | 0.183563i | ||||
\(197\) | 24.6863i | 1.75883i | 0.476058 | + | 0.879414i | \(0.342065\pi\) | ||||
−0.476058 | + | 0.879414i | \(0.657935\pi\) | |||||||
\(198\) | 9.94422 | + | 1.84852i | 0.706705 | + | 0.131369i | ||||
\(199\) | − | 15.7596i | − | 1.11717i | −0.829449 | − | 0.558583i | \(-0.811345\pi\) | ||
0.829449 | − | 0.558583i | \(-0.188655\pi\) | |||||||
\(200\) | 1.11141 | − | 5.71886i | 0.0785886 | − | 0.404385i | ||||
\(201\) | −3.55984 | − | 2.58637i | −0.251092 | − | 0.182429i | ||||
\(202\) | 5.66487 | + | 11.4449i | 0.398579 | + | 0.805258i | ||||
\(203\) | −1.23373 | − | 0.400862i | −0.0865906 | − | 0.0281350i | ||||
\(204\) | −6.73476 | + | 8.83043i | −0.471527 | + | 0.618254i | ||||
\(205\) | −5.13205 | − | 7.06366i | −0.358438 | − | 0.493348i | ||||
\(206\) | 9.09803 | − | 8.88895i | 0.633890 | − | 0.619323i | ||||
\(207\) | −14.8838 | + | 4.83606i | −1.03450 | + | 0.336129i | ||||
\(208\) | −4.01990 | + | 5.02416i | −0.278730 | + | 0.348363i | ||||
\(209\) | −1.29528 | − | 4.20111i | −0.0895963 | − | 0.290597i | ||||
\(210\) | −0.893972 | + | 5.24873i | −0.0616899 | + | 0.362197i | ||||
\(211\) | 7.38354 | + | 22.7242i | 0.508304 | + | 1.56440i | 0.795145 | + | 0.606419i | \(0.207395\pi\) |
−0.286841 | + | 0.957978i | \(0.592605\pi\) | |||||||
\(212\) | 2.81982 | + | 4.07718i | 0.193666 | + | 0.280022i | ||||
\(213\) | 2.60951 | − | 1.89592i | 0.178801 | − | 0.129906i | ||||
\(214\) | −2.02445 | + | 3.86158i | −0.138388 | + | 0.263972i | ||||
\(215\) | −5.01221 | + | 15.4260i | −0.341830 | + | 1.05205i | ||||
\(216\) | 1.63298 | + | 13.2954i | 0.111110 | + | 0.904640i | ||||
\(217\) | 11.5651 | − | 15.9179i | 0.785087 | − | 1.08058i | ||||
\(218\) | 13.5571 | − | 1.98600i | 0.918202 | − | 0.134509i | ||||
\(219\) | 1.93060 | 0.130458 | ||||||||
\(220\) | 7.03330 | − | 8.93888i | 0.474185 | − | 0.602659i | ||||
\(221\) | 9.72525 | 0.654191 | ||||||||
\(222\) | 0.475103 | − | 0.0695984i | 0.0318868 | − | 0.00467114i | ||||
\(223\) | 11.0894 | − | 15.2632i | 0.742600 | − | 1.02210i | −0.255865 | − | 0.966712i | \(-0.582360\pi\) |
0.998465 | − | 0.0553883i | \(-0.0176397\pi\) | |||||||
\(224\) | 13.2111 | + | 2.88766i | 0.882702 | + | 0.192940i | ||||
\(225\) | −1.37257 | + | 4.22433i | −0.0915044 | + | 0.281622i | ||||
\(226\) | −7.06262 | + | 13.4718i | −0.469798 | + | 0.896128i | ||||
\(227\) | −9.11637 | + | 6.62343i | −0.605075 | + | 0.439612i | −0.847676 | − | 0.530514i | \(-0.821999\pi\) |
0.242602 | + | 0.970126i | \(0.421999\pi\) | |||||||
\(228\) | 2.00259 | − | 1.38501i | 0.132625 | − | 0.0917245i | ||||
\(229\) | 6.75257 | + | 20.7823i | 0.446223 | + | 1.37333i | 0.881137 | + | 0.472860i | \(0.156778\pi\) |
−0.434915 | + | 0.900472i | \(0.643222\pi\) | |||||||
\(230\) | −2.95488 | + | 17.3488i | −0.194839 | + | 1.14395i | ||||
\(231\) | 4.36868 | − | 5.82605i | 0.287438 | − | 0.383326i | ||||
\(232\) | −0.744050 | + | 1.34242i | −0.0488492 | + | 0.0881342i | ||||
\(233\) | 6.04225 | − | 1.96325i | 0.395841 | − | 0.128617i | −0.104331 | − | 0.994543i | \(-0.533270\pi\) |
0.500172 | + | 0.865926i | \(0.333270\pi\) | |||||||
\(234\) | 3.50894 | − | 3.42830i | 0.229386 | − | 0.224115i | ||||
\(235\) | −4.03898 | − | 5.55919i | −0.263474 | − | 0.362641i | ||||
\(236\) | −11.2142 | − | 8.55278i | −0.729980 | − | 0.556738i | ||||
\(237\) | 2.25445 | + | 0.732514i | 0.146442 | + | 0.0475819i | ||||
\(238\) | −9.06689 | − | 18.3180i | −0.587719 | − | 1.18738i | ||||
\(239\) | 12.0990 | + | 8.79041i | 0.782617 | + | 0.568605i | 0.905763 | − | 0.423784i | \(-0.139298\pi\) |
−0.123146 | + | 0.992389i | \(0.539298\pi\) | |||||||
\(240\) | 5.89431 | + | 2.22302i | 0.380476 | + | 0.143495i | ||||
\(241\) | − | 0.457365i | − | 0.0294615i | −0.999891 | − | 0.0147307i | \(-0.995311\pi\) | ||
0.999891 | − | 0.0147307i | \(-0.00468911\pi\) | |||||||
\(242\) | −14.1438 | + | 6.47705i | −0.909200 | + | 0.416360i | ||||
\(243\) | − | 16.1546i | − | 1.03632i | ||||||
\(244\) | −19.7865 | − | 0.460038i | −1.26670 | − | 0.0294509i | ||||
\(245\) | 1.78299 | + | 1.29542i | 0.113911 | + | 0.0827612i | ||||
\(246\) | −5.92749 | + | 2.93393i | −0.377923 | + | 0.187061i | ||||
\(247\) | −2.02788 | − | 0.658899i | −0.129031 | − | 0.0419248i | ||||
\(248\) | −15.8773 | − | 17.0251i | −1.00821 | − | 1.08109i | ||||
\(249\) | 2.14375 | + | 2.95061i | 0.135854 | + | 0.186987i | ||||
\(250\) | 11.9639 | + | 12.2453i | 0.756666 | + | 0.774464i | ||||
\(251\) | −12.0935 | + | 3.92941i | −0.763334 | + | 0.248022i | −0.664709 | − | 0.747103i | \(-0.731444\pi\) |
−0.0986249 | + | 0.995125i | \(0.531444\pi\) | |||||||
\(252\) | −9.72879 | − | 3.41306i | −0.612856 | − | 0.215002i | ||||
\(253\) | 14.4400 | − | 19.2571i | 0.907833 | − | 1.21068i | ||||
\(254\) | 0.455090 | + | 0.0775115i | 0.0285549 | + | 0.00486351i | ||||
\(255\) | −2.94229 | − | 9.05543i | −0.184253 | − | 0.567073i | ||||
\(256\) | 6.33580 | − | 14.6921i | 0.395988 | − | 0.918256i | ||||
\(257\) | 1.20619 | − | 0.876350i | 0.0752402 | − | 0.0546652i | −0.549529 | − | 0.835474i | \(-0.685193\pi\) |
0.624770 | + | 0.780809i | \(0.285193\pi\) | |||||||
\(258\) | 10.8818 | + | 5.70484i | 0.677473 | + | 0.355168i | ||||
\(259\) | −0.273088 | + | 0.840480i | −0.0169689 | + | 0.0522249i | ||||
\(260\) | −1.58231 | − | 5.28481i | −0.0981309 | − | 0.327750i | ||||
\(261\) | 0.687812 | − | 0.946692i | 0.0425745 | − | 0.0585988i | ||||
\(262\) | 2.22118 | + | 15.1626i | 0.137225 | + | 0.936747i | ||||
\(263\) | 14.7580 | 0.910017 | 0.455008 | − | 0.890487i | \(-0.349636\pi\) | ||||
0.455008 | + | 0.890487i | \(0.349636\pi\) | |||||||
\(264\) | −5.78053 | − | 6.38900i | −0.355767 | − | 0.393216i | ||||
\(265\) | −4.25017 | −0.261086 | ||||||||
\(266\) | 0.649531 | + | 4.43393i | 0.0398253 | + | 0.271861i | ||||
\(267\) | 4.56300 | − | 6.28044i | 0.279251 | − | 0.384357i | ||||
\(268\) | −2.74829 | − | 9.17910i | −0.167879 | − | 0.560703i | ||||
\(269\) | 4.06176 | − | 12.5008i | 0.247650 | − | 0.762189i | −0.747539 | − | 0.664218i | \(-0.768765\pi\) |
0.995189 | − | 0.0979710i | \(-0.0312352\pi\) | |||||||
\(270\) | −10.1716 | − | 5.33248i | −0.619022 | − | 0.324525i | ||||
\(271\) | −9.14409 | + | 6.64357i | −0.555464 | + | 0.403568i | −0.829796 | − | 0.558067i | \(-0.811543\pi\) |
0.274332 | + | 0.961635i | \(0.411543\pi\) | |||||||
\(272\) | −23.3219 | + | 6.39599i | −1.41410 | + | 0.387814i | ||||
\(273\) | −1.09141 | − | 3.35903i | −0.0660553 | − | 0.203297i | ||||
\(274\) | −1.76004 | − | 0.299773i | −0.106328 | − | 0.0181100i | ||||
\(275\) | −2.01276 | − | 6.52818i | −0.121374 | − | 0.393664i | ||||
\(276\) | 12.5794 | + | 4.41309i | 0.757188 | + | 0.265637i | ||||
\(277\) | −1.50422 | + | 0.488750i | −0.0903796 | + | 0.0293661i | −0.353858 | − | 0.935299i | \(-0.615130\pi\) |
0.263478 | + | 0.964665i | \(0.415130\pi\) | |||||||
\(278\) | −9.93213 | − | 10.1657i | −0.595690 | − | 0.609701i | ||||
\(279\) | 10.4325 | + | 14.3590i | 0.624574 | + | 0.859653i | ||||
\(280\) | −8.47904 | + | 7.90743i | −0.506719 | + | 0.472559i | ||||
\(281\) | −8.38361 | − | 2.72400i | −0.500124 | − | 0.162500i | 0.0480820 | − | 0.998843i | \(-0.484689\pi\) |
−0.548206 | + | 0.836343i | \(0.684689\pi\) | |||||||
\(282\) | −4.66501 | + | 2.30904i | −0.277797 | + | 0.137501i | ||||
\(283\) | −16.4054 | − | 11.9192i | −0.975201 | − | 0.708525i | −0.0185704 | − | 0.999828i | \(-0.505911\pi\) |
−0.956631 | + | 0.291302i | \(0.905911\pi\) | |||||||
\(284\) | 7.02190 | + | 0.163260i | 0.416673 | + | 0.00968770i | ||||
\(285\) | 2.08756i | 0.123656i | ||||||||
\(286\) | −1.37892 | + | 7.41796i | −0.0815372 | + | 0.438633i | ||||
\(287\) | − | 12.1724i | − | 0.718516i | ||||||
\(288\) | −6.16001 | + | 10.5290i | −0.362982 | + | 0.620430i | ||||
\(289\) | 15.8173 | + | 11.4919i | 0.930427 | + | 0.675995i | ||||
\(290\) | −0.583737 | − | 1.17934i | −0.0342782 | − | 0.0692531i | ||||
\(291\) | 7.27302 | + | 2.36315i | 0.426352 | + | 0.138530i | ||||
\(292\) | 3.34276 | + | 2.54944i | 0.195620 | + | 0.149195i | ||||
\(293\) | −8.20064 | − | 11.2872i | −0.479087 | − | 0.659406i | 0.499242 | − | 0.866462i | \(-0.333612\pi\) |
−0.978329 | + | 0.207056i | \(0.933612\pi\) | |||||||
\(294\) | 1.19412 | − | 1.16668i | 0.0696426 | − | 0.0680422i | ||||
\(295\) | 11.4999 | − | 3.73654i | 0.669550 | − | 0.217550i | ||||
\(296\) | 0.914528 | + | 0.506886i | 0.0531558 | + | 0.0294621i | ||||
\(297\) | 9.03982 | + | 12.8454i | 0.524543 | + | 0.745368i | ||||
\(298\) | −0.561118 | + | 3.29446i | −0.0325047 | + | 0.190843i | ||||
\(299\) | −3.60749 | − | 11.1027i | −0.208627 | − | 0.642087i | ||||
\(300\) | 3.11186 | − | 2.15219i | 0.179663 | − | 0.124257i | ||||
\(301\) | −18.2941 | + | 13.2914i | −1.05445 | + | 0.766105i | ||||
\(302\) | 12.5432 | − | 23.9258i | 0.721779 | − | 1.37677i | ||||
\(303\) | −2.56284 | + | 7.88761i | −0.147231 | + | 0.453131i | ||||
\(304\) | 5.29636 | + | 0.246415i | 0.303767 | + | 0.0141329i | ||||
\(305\) | 9.97392 | − | 13.7279i | 0.571105 | − | 0.786059i | ||||
\(306\) | 18.2428 | − | 2.67241i | 1.04287 | − | 0.152771i | ||||
\(307\) | −5.88829 | −0.336062 | −0.168031 | − | 0.985782i | \(-0.553741\pi\) | ||||
−0.168031 | + | 0.985782i | \(0.553741\pi\) | |||||||
\(308\) | 15.2577 | − | 4.31853i | 0.869389 | − | 0.246071i | ||||
\(309\) | 8.26071 | 0.469935 | ||||||||
\(310\) | 19.7482 | − | 2.89294i | 1.12162 | − | 0.164308i | ||||
\(311\) | −15.4196 | + | 21.2233i | −0.874366 | + | 1.20346i | 0.103584 | + | 0.994621i | \(0.466969\pi\) |
−0.977950 | + | 0.208840i | \(0.933031\pi\) | |||||||
\(312\) | −4.14766 | + | 0.509427i | −0.234815 | + | 0.0288406i | ||||
\(313\) | −5.29404 | + | 16.2934i | −0.299237 | + | 0.920955i | 0.682529 | + | 0.730859i | \(0.260880\pi\) |
−0.981765 | + | 0.190097i | \(0.939120\pi\) | |||||||
\(314\) | 6.44209 | − | 12.2881i | 0.363548 | − | 0.693458i | ||||
\(315\) | 7.15127 | − | 5.19570i | 0.402928 | − | 0.292744i | ||||
\(316\) | 2.93616 | + | 4.24541i | 0.165172 | + | 0.238823i | ||||
\(317\) | 0.246344 | + | 0.758169i | 0.0138361 | + | 0.0425830i | 0.957736 | − | 0.287648i | \(-0.0928733\pi\) |
−0.943900 | + | 0.330231i | \(0.892873\pi\) | |||||||
\(318\) | −0.540567 | + | 3.17380i | −0.0303135 | + | 0.177978i | ||||
\(319\) | −0.0271549 | + | 1.79954i | −0.00152038 | + | 0.100755i | ||||
\(320\) | 7.27016 | + | 11.6327i | 0.406414 | + | 0.650290i | ||||
\(321\) | −2.69305 | + | 0.875024i | −0.150311 | + | 0.0488391i | ||||
\(322\) | −17.5493 | + | 17.1460i | −0.977984 | + | 0.955510i | ||||
\(323\) | −4.71038 | − | 6.48329i | −0.262093 | − | 0.360740i | ||||
\(324\) | 2.57067 | − | 3.37059i | 0.142815 | − | 0.187255i | ||||
\(325\) | −3.15117 | − | 1.02388i | −0.174795 | − | 0.0567944i | ||||
\(326\) | 8.93795 | + | 18.0575i | 0.495027 | + | 1.00011i | ||||
\(327\) | 7.19912 | + | 5.23047i | 0.398112 | + | 0.289246i | ||||
\(328\) | −14.1376 | − | 2.74751i | −0.780617 | − | 0.151706i | ||||
\(329\) | − | 9.57985i | − | 0.528154i | ||||||
\(330\) | 7.32423 | − | 0.960291i | 0.403186 | − | 0.0528623i | ||||
\(331\) | 21.2979i | 1.17064i | 0.810803 | + | 0.585319i | \(0.199031\pi\) | ||||
−0.810803 | + | 0.585319i | \(0.800969\pi\) | |||||||
\(332\) | −0.184601 | + | 7.93976i | −0.0101313 | + | 0.435751i | ||||
\(333\) | −0.644937 | − | 0.468574i | −0.0353423 | − | 0.0256777i | ||||
\(334\) | 0.0888805 | − | 0.0439932i | 0.00486332 | − | 0.00240720i | ||||
\(335\) | 7.81288 | + | 2.53856i | 0.426863 | + | 0.138696i | ||||
\(336\) | 4.82642 | + | 7.33741i | 0.263303 | + | 0.400289i | ||||
\(337\) | 6.39268 | + | 8.79876i | 0.348231 | + | 0.479299i | 0.946823 | − | 0.321755i | \(-0.104273\pi\) |
−0.598592 | + | 0.801054i | \(0.704273\pi\) | |||||||
\(338\) | −10.2907 | − | 10.5327i | −0.559738 | − | 0.572903i | ||||
\(339\) | −9.39514 | + | 3.05267i | −0.510274 | + | 0.165798i | ||||
\(340\) | 6.86362 | − | 19.5645i | 0.372232 | − | 1.06103i | ||||
\(341\) | −25.8315 | − | 8.82625i | −1.39886 | − | 0.477968i | ||||
\(342\) | −3.98500 | − | 0.678731i | −0.215484 | − | 0.0367016i | ||||
\(343\) | 6.12050 | + | 18.8370i | 0.330476 | + | 1.01710i | ||||
\(344\) | 11.3079 | + | 24.2476i | 0.609684 | + | 1.30734i | ||||
\(345\) | −9.24660 | + | 6.71805i | −0.497820 | + | 0.361688i | ||||
\(346\) | −24.8352 | − | 13.0199i | −1.33515 | − | 0.699956i | ||||
\(347\) | −0.198863 | + | 0.612038i | −0.0106755 | + | 0.0328559i | −0.956252 | − | 0.292543i | \(-0.905499\pi\) |
0.945577 | + | 0.325399i | \(0.105499\pi\) | |||||||
\(348\) | −0.954910 | + | 0.285907i | −0.0511885 | + | 0.0153262i | ||||
\(349\) | −10.1567 | + | 13.9796i | −0.543678 | + | 0.748309i | −0.989137 | − | 0.146993i | \(-0.953040\pi\) |
0.445459 | + | 0.895302i | \(0.353040\pi\) | |||||||
\(350\) | 1.00932 | + | 6.88996i | 0.0539504 | + | 0.368284i | ||||
\(351\) | 7.61832 | 0.406636 | ||||||||
\(352\) | −1.57181 | − | 18.6957i | −0.0837777 | − | 0.996484i | ||||
\(353\) | −28.3825 | −1.51065 | −0.755324 | − | 0.655352i | \(-0.772520\pi\) | ||||
−0.755324 | + | 0.655352i | \(0.772520\pi\) | |||||||
\(354\) | −1.32761 | − | 9.06275i | −0.0705618 | − | 0.481680i | ||||
\(355\) | −3.53959 | + | 4.87182i | −0.187862 | + | 0.258569i | ||||
\(356\) | 16.1942 | − | 4.84867i | 0.858292 | − | 0.256979i | ||||
\(357\) | 4.10195 | − | 12.6245i | 0.217098 | − | 0.668159i | ||||
\(358\) | 4.31587 | + | 2.26261i | 0.228101 | + | 0.119583i | ||||
\(359\) | 23.1001 | − | 16.7832i | 1.21918 | − | 0.885785i | 0.223147 | − | 0.974785i | \(-0.428367\pi\) |
0.996032 | + | 0.0889996i | \(0.0283670\pi\) | |||||||
\(360\) | −4.42035 | − | 9.47853i | −0.232973 | − | 0.499562i | ||||
\(361\) | −5.32838 | − | 16.3991i | −0.280441 | − | 0.863108i | ||||
\(362\) | 21.9721 | + | 3.74232i | 1.15483 | + | 0.196692i | ||||
\(363\) | −9.50999 | − | 3.41051i | −0.499145 | − | 0.179005i | ||||
\(364\) | 2.54599 | − | 7.25726i | 0.133446 | − | 0.380384i | ||||
\(365\) | −3.42793 | + | 1.11380i | −0.179426 | + | 0.0582990i | ||||
\(366\) | −8.98272 | − | 9.19400i | −0.469535 | − | 0.480578i | ||||
\(367\) | −0.228900 | − | 0.315054i | −0.0119485 | − | 0.0164457i | 0.803001 | − | 0.595978i | \(-0.203235\pi\) |
−0.814949 | + | 0.579532i | \(0.803235\pi\) | |||||||
\(368\) | 15.9529 | + | 24.2526i | 0.831605 | + | 1.26426i | ||||
\(369\) | 10.4429 | + | 3.39312i | 0.543638 | + | 0.176639i | ||||
\(370\) | −0.803427 | + | 0.397673i | −0.0417682 | + | 0.0206740i | ||||
\(371\) | −4.79369 | − | 3.48282i | −0.248876 | − | 0.180819i | ||||
\(372\) | 0.351422 | − | 15.1149i | 0.0182204 | − | 0.783669i | ||||
\(373\) | 9.95150i | 0.515269i | 0.966242 | + | 0.257635i | \(0.0829430\pi\) | ||||
−0.966242 | + | 0.257635i | \(0.917057\pi\) | |||||||
\(374\) | −20.5799 | + | 19.5088i | −1.06416 | + | 1.00878i | ||||
\(375\) | 11.1184i | 0.574150i | ||||||||
\(376\) | −11.1264 | − | 2.16233i | −0.573802 | − | 0.111513i | ||||
\(377\) | 0.706192 | + | 0.513078i | 0.0363707 | + | 0.0264249i | ||||
\(378\) | −7.10259 | − | 14.3495i | −0.365318 | − | 0.738060i | ||||
\(379\) | −19.1280 | − | 6.21508i | −0.982541 | − | 0.319247i | −0.226673 | − | 0.973971i | \(-0.572785\pi\) |
−0.755868 | + | 0.654724i | \(0.772785\pi\) | |||||||
\(380\) | −2.75670 | + | 3.61452i | −0.141416 | + | 0.185421i | ||||
\(381\) | 0.176226 | + | 0.242554i | 0.00902833 | + | 0.0124264i | ||||
\(382\) | 7.20619 | − | 7.04060i | 0.368701 | − | 0.360228i | ||||
\(383\) | 9.77842 | − | 3.17720i | 0.499654 | − | 0.162347i | −0.0483380 | − | 0.998831i | \(-0.515392\pi\) |
0.547992 | + | 0.836484i | \(0.315392\pi\) | |||||||
\(384\) | 9.61137 | − | 3.94943i | 0.490478 | − | 0.201544i | ||||
\(385\) | −4.39576 | + | 12.8649i | −0.224029 | + | 0.655658i | ||||
\(386\) | 4.00402 | − | 23.5086i | 0.203799 | − | 1.19656i | ||||
\(387\) | −6.30338 | − | 19.3998i | −0.320419 | − | 0.986148i | ||||
\(388\) | 9.47229 | + | 13.6960i | 0.480883 | + | 0.695310i | ||||
\(389\) | 15.5977 | − | 11.3324i | 0.790836 | − | 0.574576i | −0.117375 | − | 0.993088i | \(-0.537448\pi\) |
0.908212 | + | 0.418511i | \(0.137448\pi\) | |||||||
\(390\) | 1.66353 | − | 3.17313i | 0.0842360 | − | 0.160678i | ||||
\(391\) | 13.5583 | − | 41.7282i | 0.685674 | − | 2.11029i | ||||
\(392\) | 3.60822 | − | 0.443172i | 0.182243 | − | 0.0223836i | ||||
\(393\) | −5.84988 | + | 8.05167i | −0.295087 | + | 0.406153i | ||||
\(394\) | −34.5430 | + | 5.06025i | −1.74025 | + | 0.254932i | ||||
\(395\) | −4.42554 | −0.222673 | ||||||||
\(396\) | −0.548211 | + | 14.2937i | −0.0275487 | + | 0.718283i | ||||
\(397\) | 38.1030 | 1.91233 | 0.956167 | − | 0.292823i | \(-0.0945945\pi\) | ||||
0.956167 | + | 0.292823i | \(0.0945945\pi\) | |||||||
\(398\) | 22.0520 | − | 3.23043i | 1.10537 | − | 0.161927i | ||||
\(399\) | −1.71066 | + | 2.35451i | −0.0856399 | + | 0.117873i | ||||
\(400\) | 8.23011 | + | 0.382909i | 0.411505 | + | 0.0191455i | ||||
\(401\) | −1.28297 | + | 3.94858i | −0.0640685 | + | 0.197183i | −0.977967 | − | 0.208761i | \(-0.933057\pi\) |
0.913898 | + | 0.405943i | \(0.133057\pi\) | |||||||
\(402\) | 2.88935 | − | 5.51137i | 0.144108 | − | 0.274882i | ||||
\(403\) | −10.7112 | + | 7.78216i | −0.533564 | + | 0.387657i | ||||
\(404\) | −14.8534 | + | 10.2727i | −0.738982 | + | 0.511087i | ||||
\(405\) | 1.12307 | + | 3.45647i | 0.0558060 | + | 0.171753i | ||||
\(406\) | 0.308026 | − | 1.80850i | 0.0152871 | − | 0.0897542i | ||||
\(407\) | 1.22594 | + | 0.0184994i | 0.0607678 | + | 0.000916979i | ||||
\(408\) | −13.7367 | − | 7.61373i | −0.680070 | − | 0.376936i | ||||
\(409\) | 10.7679 | − | 3.49869i | 0.532437 | − | 0.172999i | −0.0304453 | − | 0.999536i | \(-0.509693\pi\) |
0.562882 | + | 0.826537i | \(0.309693\pi\) | |||||||
\(410\) | 8.83206 | − | 8.62910i | 0.436184 | − | 0.426161i | ||||
\(411\) | −0.681548 | − | 0.938071i | −0.0336183 | − | 0.0462716i | ||||
\(412\) | 14.3031 | + | 10.9086i | 0.704661 | + | 0.537428i | ||||
\(413\) | 16.0324 | + | 5.20925i | 0.788904 | + | 0.256331i | ||||
\(414\) | −9.81792 | − | 19.8354i | −0.482524 | − | 0.974855i | ||||
\(415\) | −5.50864 | − | 4.00226i | −0.270409 | − | 0.196463i | ||||
\(416\) | −7.85422 | − | 4.59510i | −0.385085 | − | 0.225294i | ||||
\(417\) | − | 9.23016i | − | 0.452003i | ||||||
\(418\) | 5.61302 | − | 2.67361i | 0.274542 | − | 0.130770i | ||||
\(419\) | 21.2095i | 1.03615i | 0.855335 | + | 0.518075i | \(0.173351\pi\) | ||||
−0.855335 | + | 0.518075i | \(0.826649\pi\) | |||||||
\(420\) | −7.52769 | − | 0.175020i | −0.367314 | − | 0.00854009i | ||||
\(421\) | −20.0502 | − | 14.5673i | −0.977185 | − | 0.709966i | −0.0201071 | − | 0.999798i | \(-0.506401\pi\) |
−0.957078 | + | 0.289832i | \(0.906401\pi\) | |||||||
\(422\) | −30.2840 | + | 14.9897i | −1.47420 | + | 0.729686i | ||||
\(423\) | 8.21871 | + | 2.67042i | 0.399608 | + | 0.129840i | ||||
\(424\) | −5.12710 | + | 4.78146i | −0.248994 | + | 0.232208i | ||||
\(425\) | −7.31955 | − | 10.0745i | −0.355050 | − | 0.488685i | ||||
\(426\) | 3.18783 | + | 3.26280i | 0.154451 | + | 0.158083i | ||||
\(427\) | 22.4988 | − | 7.31030i | 1.08879 | − | 0.353770i | ||||
\(428\) | −5.81840 | − | 2.04121i | −0.281243 | − | 0.0986657i | ||||
\(429\) | −4.00728 | + | 2.82007i | −0.193473 | + | 0.136154i | ||||
\(430\) | −22.6127 | − | 3.85143i | −1.09048 | − | 0.185732i | ||||
\(431\) | 0.546129 | + | 1.68081i | 0.0263061 | + | 0.0809619i | 0.963348 | − | 0.268256i | \(-0.0864473\pi\) |
−0.937042 | + | 0.349218i | \(0.886447\pi\) | |||||||
\(432\) | −18.2693 | + | 5.01033i | −0.878982 | + | 0.241060i | ||||
\(433\) | 26.6582 | − | 19.3684i | 1.28111 | − | 0.930784i | 0.281528 | − | 0.959553i | \(-0.409159\pi\) |
0.999586 | + | 0.0287696i | \(0.00915892\pi\) | |||||||
\(434\) | 24.6443 | + | 12.9198i | 1.18296 | + | 0.620172i | ||||
\(435\) | 0.264088 | − | 0.812780i | 0.0126621 | − | 0.0389698i | ||||
\(436\) | 5.55793 | + | 18.5631i | 0.266176 | + | 0.889010i | ||||
\(437\) | −5.65429 | + | 7.78247i | −0.270482 | + | 0.372286i | ||||
\(438\) | 0.395739 | + | 2.70145i | 0.0189092 | + | 0.129080i | ||||
\(439\) | −27.3520 | −1.30544 | −0.652719 | − | 0.757600i | \(-0.726372\pi\) | ||||
−0.652719 | + | 0.757600i | \(0.726372\pi\) | |||||||
\(440\) | 13.9497 | + | 8.00924i | 0.665025 | + | 0.381826i | ||||
\(441\) | −2.77163 | −0.131982 | ||||||||
\(442\) | 1.99350 | + | 13.6083i | 0.0948213 | + | 0.647283i | ||||
\(443\) | 0.996488 | − | 1.37155i | 0.0473446 | − | 0.0651642i | −0.784688 | − | 0.619890i | \(-0.787177\pi\) |
0.832033 | + | 0.554726i | \(0.187177\pi\) | |||||||
\(444\) | 0.194775 | + | 0.650535i | 0.00924362 | + | 0.0308730i | ||||
\(445\) | −4.47865 | + | 13.7839i | −0.212308 | + | 0.653418i | ||||
\(446\) | 23.6306 | + | 12.3884i | 1.11894 | + | 0.586610i | ||||
\(447\) | −1.75589 | + | 1.27573i | −0.0830506 | + | 0.0603398i | ||||
\(448\) | −1.33261 | + | 19.0779i | −0.0629600 | + | 0.901346i | ||||
\(449\) | −5.72704 | − | 17.6260i | −0.270276 | − | 0.831823i | −0.990431 | − | 0.138010i | \(-0.955929\pi\) |
0.720155 | − | 0.693813i | \(-0.244071\pi\) | |||||||
\(450\) | −6.19236 | − | 1.05469i | −0.291911 | − | 0.0497187i | ||||
\(451\) | −16.1383 | + | 4.97573i | −0.759923 | + | 0.234298i | ||||
\(452\) | −20.2985 | − | 7.12111i | −0.954759 | − | 0.334949i | ||||
\(453\) | 16.6857 | − | 5.42153i | 0.783965 | − | 0.254726i | ||||
\(454\) | −11.1367 | − | 11.3987i | −0.522672 | − | 0.534966i | ||||
\(455\) | 3.87577 | + | 5.33454i | 0.181699 | + | 0.250087i | ||||
\(456\) | 2.34851 | + | 2.51828i | 0.109979 | + | 0.117929i | ||||
\(457\) | 10.3504 | + | 3.36303i | 0.484169 | + | 0.157316i | 0.540923 | − | 0.841072i | \(-0.318075\pi\) |
−0.0567538 | + | 0.998388i | \(0.518075\pi\) | |||||||
\(458\) | −27.6961 | + | 13.7087i | −1.29415 | + | 0.640567i | ||||
\(459\) | 23.1642 | + | 16.8298i | 1.08121 | + | 0.785547i | ||||
\(460\) | −24.8816 | − | 0.578499i | −1.16011 | − | 0.0269727i | ||||
\(461\) | − | 13.8278i | − | 0.644024i | −0.946736 | − | 0.322012i | \(-0.895641\pi\) | ||
0.946736 | − | 0.322012i | \(-0.104359\pi\) | |||||||
\(462\) | 9.04777 | + | 4.91877i | 0.420940 | + | 0.228842i | ||||
\(463\) | 37.3657i | 1.73653i | 0.496099 | + | 0.868266i | \(0.334765\pi\) | ||||
−0.496099 | + | 0.868266i | \(0.665235\pi\) | |||||||
\(464\) | −2.03094 | − | 0.765961i | −0.0942839 | − | 0.0355588i | ||||
\(465\) | 10.4868 | + | 7.61907i | 0.486311 | + | 0.353326i | ||||
\(466\) | 3.98568 | + | 8.05236i | 0.184633 | + | 0.373019i | ||||
\(467\) | −13.1201 | − | 4.26296i | −0.607124 | − | 0.197266i | −0.0107086 | − | 0.999943i | \(-0.503409\pi\) |
−0.596415 | + | 0.802676i | \(0.703409\pi\) | |||||||
\(468\) | 5.51642 | + | 4.20724i | 0.254997 | + | 0.194480i | ||||
\(469\) | 6.73176 | + | 9.26547i | 0.310844 | + | 0.427840i | ||||
\(470\) | 6.95093 | − | 6.79120i | 0.320623 | − | 0.313255i | ||||
\(471\) | 8.56968 | − | 2.78446i | 0.394870 | − | 0.128301i | ||||
\(472\) | 9.66902 | − | 17.4449i | 0.445053 | − | 0.802968i | ||||
\(473\) | 25.0999 | + | 18.8213i | 1.15410 | + | 0.865402i | ||||
\(474\) | −0.562871 | + | 3.30475i | −0.0258535 | + | 0.151792i | ||||
\(475\) | 0.843692 | + | 2.59662i | 0.0387113 | + | 0.119141i | ||||
\(476\) | 23.7735 | − | 16.4420i | 1.08966 | − | 0.753617i | ||||
\(477\) | 4.32423 | − | 3.14173i | 0.197993 | − | 0.143850i | ||||
\(478\) | −9.82017 | + | 18.7317i | −0.449164 | + | 0.856768i | ||||
\(479\) | −4.17392 | + | 12.8460i | −0.190711 | + | 0.586949i | −1.00000 | 0.000462487i | \(-0.999853\pi\) | |
0.809289 | + | 0.587411i | \(0.199853\pi\) | |||||||
\(480\) | −1.90240 | + | 8.70347i | −0.0868321 | + | 0.397257i | ||||
\(481\) | 0.349536 | − | 0.481095i | 0.0159375 | − | 0.0219361i | ||||
\(482\) | 0.639982 | − | 0.0937517i | 0.0291504 | − | 0.00427027i | ||||
\(483\) | −15.9342 | −0.725031 | ||||||||
\(484\) | −11.9624 | − | 18.4635i | −0.543747 | − | 0.839249i | ||||
\(485\) | −14.2771 | −0.648291 | ||||||||
\(486\) | 22.6048 | − | 3.31140i | 1.02537 | − | 0.150208i | ||||
\(487\) | 21.0066 | − | 28.9132i | 0.951902 | − | 1.31018i | 0.00122483 | − | 0.999999i | \(-0.499610\pi\) |
0.950677 | − | 0.310182i | \(-0.100390\pi\) | |||||||
\(488\) | −3.41215 | − | 27.7811i | −0.154461 | − | 1.25759i | ||||
\(489\) | −4.04361 | + | 12.4450i | −0.182859 | + | 0.562781i | ||||
\(490\) | −1.44717 | + | 2.76044i | −0.0653765 | + | 0.124704i | ||||
\(491\) | 32.6427 | − | 23.7163i | 1.47314 | − | 1.07030i | 0.493455 | − | 0.869771i | \(-0.335734\pi\) |
0.979688 | − | 0.200530i | \(-0.0642663\pi\) | |||||||
\(492\) | −5.32042 | − | 7.69282i | −0.239863 | − | 0.346819i | ||||
\(493\) | 1.01379 | + | 3.12013i | 0.0456588 | + | 0.140523i | ||||
\(494\) | 0.506304 | − | 2.97264i | 0.0227797 | − | 0.133745i | ||||
\(495\) | −9.81171 | − | 7.35735i | −0.441004 | − | 0.330688i | ||||
\(496\) | 20.5683 | − | 25.7067i | 0.923542 | − | 1.15426i | ||||
\(497\) | −7.98446 | + | 2.59431i | −0.358152 | + | 0.116371i | ||||
\(498\) | −3.68930 | + | 3.60452i | −0.165322 | + | 0.161522i | ||||
\(499\) | −2.39243 | − | 3.29289i | −0.107100 | − | 0.147410i | 0.752103 | − | 0.659046i | \(-0.229040\pi\) |
−0.859202 | + | 0.511636i | \(0.829040\pi\) | |||||||
\(500\) | −14.6823 | + | 19.2510i | −0.656611 | + | 0.860930i | ||||
\(501\) | 0.0612550 | + | 0.0199029i | 0.00273667 | + | 0.000889198i | ||||
\(502\) | −7.97729 | − | 16.1167i | −0.356044 | − | 0.719323i | ||||
\(503\) | 15.7894 | + | 11.4717i | 0.704013 | + | 0.511496i | 0.881237 | − | 0.472675i | \(-0.156712\pi\) |
−0.177223 | + | 0.984171i | \(0.556712\pi\) | |||||||
\(504\) | 2.78159 | − | 14.3129i | 0.123902 | − | 0.637548i | ||||
\(505\) | − | 15.4836i | − | 0.689010i | ||||||
\(506\) | 29.9059 | + | 16.2582i | 1.32948 | + | 0.722765i | ||||
\(507\) | − | 9.56335i | − | 0.424723i | ||||||
\(508\) | −0.0151750 | + | 0.652686i | −0.000673283 | + | 0.0289583i | ||||
\(509\) | −18.9874 | − | 13.7952i | −0.841602 | − | 0.611459i | 0.0812160 | − | 0.996697i | \(-0.474120\pi\) |
−0.922818 | + | 0.385237i | \(0.874120\pi\) | |||||||
\(510\) | 12.0680 | − | 5.97328i | 0.534378 | − | 0.264501i | ||||
\(511\) | −4.77900 | − | 1.55279i | −0.211410 | − | 0.0686914i | ||||
\(512\) | 21.8571 | + | 5.85394i | 0.965955 | + | 0.258710i | ||||
\(513\) | −3.68990 | − | 5.07871i | −0.162913 | − | 0.224231i | ||||
\(514\) | 1.47351 | + | 1.50816i | 0.0649936 | + | 0.0665222i | ||||
\(515\) | −14.6675 | + | 4.76576i | −0.646327 | + | 0.210004i | ||||
\(516\) | −5.75208 | + | 16.3961i | −0.253221 | + | 0.721798i | ||||
\(517\) | −12.7010 | + | 3.91596i | −0.558591 | + | 0.172224i | ||||
\(518\) | −1.23204 | − | 0.209844i | −0.0541329 | − | 0.00922000i | ||||
\(519\) | −5.62759 | − | 17.3199i | −0.247024 | − | 0.760261i | ||||
\(520\) | 7.07058 | − | 3.29739i | 0.310065 | − | 0.144600i | ||||
\(521\) | −16.5556 | + | 12.0284i | −0.725315 | + | 0.526972i | −0.888078 | − | 0.459693i | \(-0.847959\pi\) |
0.162763 | + | 0.986665i | \(0.447959\pi\) | |||||||
\(522\) | 1.46568 | + | 0.768386i | 0.0641509 | + | 0.0336314i | ||||
\(523\) | 2.54447 | − | 7.83107i | 0.111262 | − | 0.342429i | −0.879887 | − | 0.475183i | \(-0.842382\pi\) |
0.991149 | + | 0.132754i | \(0.0423820\pi\) | |||||||
\(524\) | −20.7614 | + | 6.21611i | −0.906965 | + | 0.271552i | ||||
\(525\) | −2.65822 | + | 3.65872i | −0.116014 | + | 0.159680i | ||||
\(526\) | 3.02513 | + | 20.6506i | 0.131902 | + | 0.900407i | ||||
\(527\) | −49.7602 | −2.16759 | ||||||||
\(528\) | 7.75509 | − | 9.39821i | 0.337497 | − | 0.409005i | ||||
\(529\) | −29.6679 | −1.28991 | ||||||||
\(530\) | −0.871210 | − | 5.94718i | −0.0378429 | − | 0.258329i | ||||
\(531\) | −8.93821 | + | 12.3024i | −0.387885 | + | 0.533878i | ||||
\(532\) | −6.07116 | + | 1.81775i | −0.263218 | + | 0.0788095i | ||||
\(533\) | −2.53112 | + | 7.78999i | −0.109635 | + | 0.337422i | ||||
\(534\) | 9.72342 | + | 5.09754i | 0.420774 | + | 0.220592i | ||||
\(535\) | 4.27688 | − | 3.10734i | 0.184906 | − | 0.134342i | ||||
\(536\) | 12.2808 | − | 5.72718i | 0.530449 | − | 0.247377i | ||||
\(537\) | 0.977965 | + | 3.00987i | 0.0422023 | + | 0.129885i | ||||
\(538\) | 18.3247 | + | 3.12110i | 0.790035 | + | 0.134560i | ||||
\(539\) | 3.48610 | − | 2.45330i | 0.150157 | − | 0.105671i | ||||
\(540\) | 5.37664 | − | 15.3259i | 0.231374 | − | 0.659523i | ||||
\(541\) | −20.9142 | + | 6.79544i | −0.899172 | + | 0.292159i | −0.721895 | − | 0.692002i | \(-0.756729\pi\) |
−0.177277 | + | 0.984161i | \(0.556729\pi\) | |||||||
\(542\) | −11.1706 | − | 11.4333i | −0.479818 | − | 0.491103i | ||||
\(543\) | 8.50834 | + | 11.7107i | 0.365128 | + | 0.502555i | ||||
\(544\) | −13.7304 | − | 31.3228i | −0.588684 | − | 1.34295i | ||||
\(545\) | −15.8001 | − | 5.13377i | −0.676803 | − | 0.219907i | ||||
\(546\) | 4.47649 | − | 2.21573i | 0.191576 | − | 0.0948246i | ||||
\(547\) | 20.5153 | + | 14.9052i | 0.877170 | + | 0.637301i | 0.932501 | − | 0.361167i | \(-0.117622\pi\) |
−0.0553316 | + | 0.998468i | \(0.517622\pi\) | |||||||
\(548\) | 0.0586889 | − | 2.52424i | 0.00250707 | − | 0.107830i | ||||
\(549\) | 21.3398i | 0.910762i | ||||||||
\(550\) | 8.72217 | − | 4.15457i | 0.371915 | − | 0.177151i | ||||
\(551\) | − | 0.719286i | − | 0.0306426i | ||||||
\(552\) | −3.59660 | + | 18.5066i | −0.153082 | + | 0.787695i | ||||
\(553\) | −4.99148 | − | 3.62652i | −0.212259 | − | 0.154215i | ||||
\(554\) | −0.992235 | − | 2.00463i | −0.0421560 | − | 0.0851687i | ||||
\(555\) | −0.553709 | − | 0.179911i | −0.0235036 | − | 0.00763679i | ||||
\(556\) | 12.1888 | − | 15.9816i | 0.516920 | − | 0.677772i | ||||
\(557\) | 2.66116 | + | 3.66277i | 0.112757 | + | 0.155197i | 0.861665 | − | 0.507477i | \(-0.169422\pi\) |
−0.748908 | + | 0.662673i | \(0.769422\pi\) | |||||||
\(558\) | −17.9538 | + | 17.5413i | −0.760046 | + | 0.742581i | ||||
\(559\) | 14.4714 | − | 4.70205i | 0.612076 | − | 0.198876i | ||||
\(560\) | −12.8027 | − | 10.2437i | −0.541015 | − | 0.432874i | ||||
\(561\) | −18.4144 | − | 0.277871i | −0.777456 | − | 0.0117317i | ||||
\(562\) | 2.09315 | − | 12.2894i | 0.0882940 | − | 0.518396i | ||||
\(563\) | −12.0512 | − | 37.0897i | −0.507896 | − | 1.56314i | −0.795847 | − | 0.605498i | \(-0.792974\pi\) |
0.287951 | − | 0.957645i | \(-0.407026\pi\) | |||||||
\(564\) | −4.18724 | − | 6.05434i | −0.176314 | − | 0.254933i | ||||
\(565\) | 14.9206 | − | 10.8405i | 0.627715 | − | 0.456062i | ||||
\(566\) | 13.3155 | − | 25.3990i | 0.559693 | − | 1.06760i | ||||
\(567\) | −1.56572 | + | 4.81879i | −0.0657540 | + | 0.202370i | ||||
\(568\) | 1.21092 | + | 9.85906i | 0.0508090 | + | 0.413677i | ||||
\(569\) | 20.6897 | − | 28.4769i | 0.867357 | − | 1.19381i | −0.112408 | − | 0.993662i | \(-0.535856\pi\) |
0.979765 | − | 0.200152i | \(-0.0641436\pi\) | |||||||
\(570\) | −2.92108 | + | 0.427912i | −0.122350 | + | 0.0179233i | ||||
\(571\) | 28.8320 | 1.20658 | 0.603291 | − | 0.797521i | \(-0.293856\pi\) | ||||
0.603291 | + | 0.797521i | \(0.293856\pi\) | |||||||
\(572\) | −10.6625 | − | 0.408942i | −0.445820 | − | 0.0170987i | ||||
\(573\) | 6.54299 | 0.273337 | ||||||||
\(574\) | 17.0326 | − | 2.49513i | 0.710929 | − | 0.104145i | ||||
\(575\) | −8.78631 | + | 12.0933i | −0.366414 | + | 0.504326i | ||||
\(576\) | −15.9958 | − | 6.46131i | −0.666490 | − | 0.269221i | ||||
\(577\) | −1.76215 | + | 5.42333i | −0.0733591 | + | 0.225776i | −0.981013 | − | 0.193944i | \(-0.937872\pi\) |
0.907653 | + | 0.419720i | \(0.137872\pi\) | |||||||
\(578\) | −12.8381 | + | 24.4884i | −0.533996 | + | 1.01858i | ||||
\(579\) | 12.5297 | − | 9.10333i | 0.520715 | − | 0.378321i | ||||
\(580\) | 1.53057 | − | 1.05855i | 0.0635533 | − | 0.0439541i | ||||
\(581\) | −2.93342 | − | 9.02814i | −0.121699 | − | 0.374551i | ||||
\(582\) | −1.81586 | + | 10.6614i | −0.0752700 | + | 0.441929i | ||||
\(583\) | −2.65803 | + | 7.77917i | −0.110084 | + | 0.322180i | ||||
\(584\) | −2.88217 | + | 5.20004i | −0.119265 | + | 0.215179i | ||||
\(585\) | −5.65697 | + | 1.83806i | −0.233887 | + | 0.0759945i | ||||
\(586\) | 14.1130 | − | 13.7887i | 0.583002 | − | 0.569605i | ||||
\(587\) | 24.8378 | + | 34.1864i | 1.02517 | + | 1.41102i | 0.908517 | + | 0.417849i | \(0.137216\pi\) |
0.116651 | + | 0.993173i | \(0.462784\pi\) | |||||||
\(588\) | 1.87729 | + | 1.43176i | 0.0774180 | + | 0.0590448i | ||||
\(589\) | 10.3759 | + | 3.37133i | 0.427530 | + | 0.138913i | ||||
\(590\) | 7.58574 | + | 15.3256i | 0.312300 | + | 0.630947i | ||||
\(591\) | −18.3431 | − | 13.3271i | −0.754536 | − | 0.548202i | ||||
\(592\) | −0.521813 | + | 1.38358i | −0.0214464 | + | 0.0568649i | ||||
\(593\) | 21.6694i | 0.889855i | 0.895567 | + | 0.444927i | \(0.146771\pi\) | ||||
−0.895567 | + | 0.444927i | \(0.853229\pi\) | |||||||
\(594\) | −16.1214 | + | 15.2823i | −0.661467 | + | 0.627041i | ||||
\(595\) | 24.7822i | 1.01597i | ||||||||
\(596\) | −4.72489 | − | 0.109854i | −0.193539 | − | 0.00449981i | ||||
\(597\) | 11.7101 | + | 8.50790i | 0.479264 | + | 0.348205i | ||||
\(598\) | 14.7963 | − | 7.32374i | 0.605067 | − | 0.299490i | ||||
\(599\) | −17.9158 | − | 5.82121i | −0.732021 | − | 0.237848i | −0.0807939 | − | 0.996731i | \(-0.525746\pi\) |
−0.651227 | + | 0.758883i | \(0.725746\pi\) | |||||||
\(600\) | 3.64939 | + | 3.91320i | 0.148986 | + | 0.159756i | ||||
\(601\) | 8.90397 | + | 12.2553i | 0.363200 | + | 0.499902i | 0.951037 | − | 0.309077i | \(-0.100020\pi\) |
−0.587837 | + | 0.808980i | \(0.700020\pi\) | |||||||
\(602\) | −22.3484 | − | 22.8740i | −0.910851 | − | 0.932275i | ||||
\(603\) | −9.82551 | + | 3.19250i | −0.400126 | + | 0.130009i | ||||
\(604\) | 36.0500 | + | 12.6471i | 1.46685 | + | 0.514602i | ||||
\(605\) | 18.8533 | + | 0.569118i | 0.766495 | + | 0.0231379i | ||||
\(606\) | −11.5623 | − | 1.96931i | −0.469687 | − | 0.0799977i | ||||
\(607\) | 2.09788 | + | 6.45662i | 0.0851505 | + | 0.262066i | 0.984562 | − | 0.175037i | \(-0.0560045\pi\) |
−0.899411 | + | 0.437103i | \(0.856004\pi\) | |||||||
\(608\) | 0.740855 | + | 7.46159i | 0.0300456 | + | 0.302608i | ||||
\(609\) | 0.963895 | − | 0.700311i | 0.0390590 | − | 0.0283780i | ||||
\(610\) | 21.2537 | + | 11.1423i | 0.860536 | + | 0.451139i | ||||
\(611\) | −1.99202 | + | 6.13081i | −0.0805885 | + | 0.248026i | ||||
\(612\) | 7.47889 | + | 24.9790i | 0.302316 | + | 1.00971i | ||||
\(613\) | −5.26974 | + | 7.25318i | −0.212843 | + | 0.292953i | −0.902068 | − | 0.431594i | \(-0.857951\pi\) |
0.689225 | + | 0.724547i | \(0.257951\pi\) | |||||||
\(614\) | −1.20699 | − | 8.23936i | −0.0487103 | − | 0.332514i | ||||
\(615\) | 8.01922 | 0.323366 | ||||||||
\(616\) | 9.17039 | + | 20.4646i | 0.369485 | + | 0.824541i | ||||
\(617\) | 41.7476 | 1.68069 | 0.840347 | − | 0.542049i | \(-0.182351\pi\) | ||||
0.840347 | + | 0.542049i | \(0.182351\pi\) | |||||||
\(618\) | 1.69330 | + | 11.5590i | 0.0681144 | + | 0.464973i | ||||
\(619\) | 3.56169 | − | 4.90225i | 0.143157 | − | 0.197038i | −0.731418 | − | 0.681930i | \(-0.761141\pi\) |
0.874574 | + | 0.484892i | \(0.161141\pi\) | |||||||
\(620\) | 8.09607 | + | 27.0403i | 0.325146 | + | 1.08596i | ||||
\(621\) | 10.6210 | − | 32.6880i | 0.426205 | − | 1.31172i | ||||
\(622\) | −32.8580 | − | 17.2259i | −1.31749 | − | 0.690697i | ||||
\(623\) | −16.3466 | + | 11.8765i | −0.654913 | + | 0.475822i | ||||
\(624\) | −1.56303 | − | 5.69931i | −0.0625712 | − | 0.228155i | ||||
\(625\) | −3.23190 | − | 9.94678i | −0.129276 | − | 0.397871i | ||||
\(626\) | −23.8841 | − | 4.06798i | −0.954603 | − | 0.162589i | ||||
\(627\) | 3.82090 | + | 1.30554i | 0.152592 | + | 0.0521383i | ||||
\(628\) | 18.5150 | + | 6.49544i | 0.738829 | + | 0.259196i | ||||
\(629\) | 2.12560 | − | 0.690648i | 0.0847531 | − | 0.0275379i | ||||
\(630\) | 8.73612 | + | 8.94159i | 0.348055 | + | 0.356242i | ||||
\(631\) | −9.43855 | − | 12.9911i | −0.375743 | − | 0.517166i | 0.578708 | − | 0.815535i | \(-0.303557\pi\) |
−0.954450 | + | 0.298369i | \(0.903557\pi\) | |||||||
\(632\) | −5.33865 | + | 4.97875i | −0.212360 | + | 0.198044i | ||||
\(633\) | −20.8712 | − | 6.78147i | −0.829557 | − | 0.269539i | ||||
\(634\) | −1.01039 | + | 0.500115i | −0.0401279 | + | 0.0198621i | ||||
\(635\) | −0.452836 | − | 0.329005i | −0.0179703 | − | 0.0130562i | ||||
\(636\) | −4.55184 | − | 0.105831i | −0.180492 | − | 0.00419647i | ||||
\(637\) | − | 2.06752i | − | 0.0819181i | ||||||
\(638\) | −2.52363 | + | 0.330877i | −0.0999114 | + | 0.0130995i | ||||
\(639\) | − | 7.57317i | − | 0.299590i | ||||||
\(640\) | −14.7872 | + | 12.5575i | −0.584515 | + | 0.496378i | ||||
\(641\) | 16.2489 | + | 11.8055i | 0.641793 | + | 0.466290i | 0.860466 | − | 0.509508i | \(-0.170173\pi\) |
−0.218673 | + | 0.975798i | \(0.570173\pi\) | |||||||
\(642\) | −1.77643 | − | 3.58896i | −0.0701101 | − | 0.141645i | ||||
\(643\) | −4.15001 | − | 1.34842i | −0.163660 | − | 0.0531764i | 0.226041 | − | 0.974118i | \(-0.427422\pi\) |
−0.389701 | + | 0.920941i | \(0.627422\pi\) | |||||||
\(644\) | −27.5894 | − | 21.0417i | −1.08717 | − | 0.829161i | ||||
\(645\) | −8.75640 | − | 12.0522i | −0.344783 | − | 0.474553i | ||||
\(646\) | 8.10638 | − | 7.92010i | 0.318941 | − | 0.311612i | ||||
\(647\) | 9.16047 | − | 2.97642i | 0.360135 | − | 0.117015i | −0.123360 | − | 0.992362i | \(-0.539367\pi\) |
0.483495 | + | 0.875347i | \(0.339367\pi\) | |||||||
\(648\) | 5.24334 | + | 2.90617i | 0.205978 | + | 0.114165i | ||||
\(649\) | 0.352882 | − | 23.3853i | 0.0138518 | − | 0.917953i | ||||
\(650\) | 0.786755 | − | 4.61924i | 0.0308591 | − | 0.181181i | ||||
\(651\) | 5.58433 | + | 17.1868i | 0.218867 | + | 0.673604i | ||||
\(652\) | −23.4354 | + | 16.2082i | −0.917802 | + | 0.634761i | ||||
\(653\) | −14.7817 | + | 10.7396i | −0.578454 | + | 0.420272i | −0.838167 | − | 0.545414i | \(-0.816372\pi\) |
0.259712 | + | 0.965686i | \(0.416372\pi\) | |||||||
\(654\) | −5.84320 | + | 11.1457i | −0.228487 | + | 0.435833i | ||||
\(655\) | 5.74173 | − | 17.6712i | 0.224348 | − | 0.690472i | ||||
\(656\) | 0.946588 | − | 20.3456i | 0.0369581 | − | 0.794363i | ||||
\(657\) | 2.66433 | − | 3.66714i | 0.103945 | − | 0.143069i | ||||
\(658\) | 13.4049 | − | 1.96370i | 0.522577 | − | 0.0765530i | ||||
\(659\) | 17.9779 | 0.700318 | 0.350159 | − | 0.936690i | \(-0.386128\pi\) | ||||
0.350159 | + | 0.936690i | \(0.386128\pi\) | |||||||
\(660\) | 2.84505 | + | 10.0518i | 0.110743 | + | 0.391266i | ||||
\(661\) | 2.57645 | 0.100212 | 0.0501062 | − | 0.998744i | \(-0.484044\pi\) | ||||
0.0501062 | + | 0.998744i | \(0.484044\pi\) | |||||||
\(662\) | −29.8017 | + | 4.36568i | −1.15827 | + | 0.169677i | ||||
\(663\) | −5.25024 | + | 7.22634i | −0.203902 | + | 0.280648i | ||||
\(664\) | −11.1478 | + | 1.36920i | −0.432618 | + | 0.0531353i | ||||
\(665\) | 1.67903 | − | 5.16752i | 0.0651100 | − | 0.200388i | ||||
\(666\) | 0.523465 | − | 0.998496i | 0.0202839 | − | 0.0386909i | ||||
\(667\) | 3.18600 | − | 2.31476i | 0.123362 | − | 0.0896280i | ||||
\(668\) | 0.0797777 | + | 0.115351i | 0.00308669 | + | 0.00446306i | ||||
\(669\) | 5.35464 | + | 16.4799i | 0.207022 | + | 0.637150i | ||||
\(670\) | −1.95065 | + | 11.4528i | −0.0753602 | + | 0.442459i | ||||
\(671\) | −18.8889 | − | 26.8408i | −0.729196 | − | 1.03618i | ||||
\(672\) | −9.27776 | + | 8.25754i | −0.357897 | + | 0.318542i | ||||
\(673\) | 32.6554 | − | 10.6104i | 1.25878 | − | 0.409001i | 0.397717 | − | 0.917508i | \(-0.369802\pi\) |
0.861058 | + | 0.508507i | \(0.169802\pi\) | |||||||
\(674\) | −11.0015 | + | 10.7487i | −0.423764 | + | 0.414026i | ||||
\(675\) | −5.73380 | − | 7.89190i | −0.220694 | − | 0.303759i | ||||
\(676\) | 12.6288 | − | 16.5585i | 0.485723 | − | 0.636866i | ||||
\(677\) | 16.4156 | + | 5.33375i | 0.630902 | + | 0.204993i | 0.606975 | − | 0.794721i | \(-0.292383\pi\) |
0.0239275 | + | 0.999714i | \(0.492383\pi\) | |||||||
\(678\) | −6.19737 | − | 12.5207i | −0.238009 | − | 0.480854i | ||||
\(679\) | −16.1029 | − | 11.6994i | −0.617972 | − | 0.448983i | ||||
\(680\) | 28.7831 | + | 5.59374i | 1.10378 | + | 0.214510i | ||||
\(681\) | − | 10.3496i | − | 0.396598i | ||||||
\(682\) | 7.05538 | − | 37.9548i | 0.270164 | − | 1.45336i | ||||
\(683\) | − | 0.254052i | − | 0.00972104i | −0.999988 | − | 0.00486052i | \(-0.998453\pi\) | ||
0.999988 | − | 0.00486052i | \(-0.00154716\pi\) | |||||||
\(684\) | 0.132880 | − | 5.71525i | 0.00508081 | − | 0.218528i | ||||
\(685\) | 1.75133 | + | 1.27242i | 0.0669148 | + | 0.0486165i | ||||
\(686\) | −25.1036 | + | 12.4255i | −0.958459 | + | 0.474409i | ||||
\(687\) | −19.0877 | − | 6.20196i | −0.728240 | − | 0.236620i | ||||
\(688\) | −31.6112 | + | 20.7933i | −1.20517 | + | 0.792737i | ||||
\(689\) | 2.34360 | + | 3.22569i | 0.0892840 | + | 0.122889i | ||||
\(690\) | −11.2958 | − | 11.5615i | −0.430024 | − | 0.440139i | ||||
\(691\) | 9.02104 | − | 2.93111i | 0.343176 | − | 0.111505i | −0.132358 | − | 0.991202i | \(-0.542255\pi\) |
0.475534 | + | 0.879697i | \(0.342255\pi\) | |||||||
\(692\) | 13.1278 | − | 37.4202i | 0.499043 | − | 1.42250i | ||||
\(693\) | −5.03744 | − | 16.3384i | −0.191356 | − | 0.620646i | ||||
\(694\) | −0.897175 | − | 0.152808i | −0.0340563 | − | 0.00580052i | ||||
\(695\) | 5.32505 | + | 16.3888i | 0.201991 | + | 0.621663i | ||||
\(696\) | −0.595804 | − | 1.27758i | −0.0225839 | − | 0.0484265i | ||||
\(697\) | −24.9051 | + | 18.0946i | −0.943349 | + | 0.685383i | ||||
\(698\) | −21.6433 | − | 11.3466i | −0.819210 | − | 0.429474i | ||||
\(699\) | −1.80316 | + | 5.54956i | −0.0682018 | + | 0.209904i | ||||
\(700\) | −9.43408 | + | 2.82464i | −0.356575 | + | 0.106761i | ||||
\(701\) | −5.04306 | + | 6.94118i | −0.190474 | + | 0.262165i | −0.893564 | − | 0.448936i | \(-0.851803\pi\) |
0.703090 | + | 0.711101i | \(0.251803\pi\) | |||||||
\(702\) | 1.56162 | + | 10.6602i | 0.0589395 | + | 0.402342i | ||||
\(703\) | −0.490016 | −0.0184813 | ||||||||
\(704\) | 25.8383 | − | 6.03169i | 0.973818 | − | 0.227328i | ||||
\(705\) | 6.31122 | 0.237694 | ||||||||
\(706\) | −5.81790 | − | 39.7150i | −0.218960 | − | 1.49469i | ||||
\(707\) | 12.6881 | − | 17.4636i | 0.477184 | − | 0.656787i | ||||
\(708\) | 12.4092 | − | 3.71540i | 0.466365 | − | 0.139633i | ||||
\(709\) | 2.13737 | − | 6.57816i | 0.0802708 | − | 0.247048i | −0.902865 | − | 0.429924i | \(-0.858541\pi\) |
0.983136 | + | 0.182875i | \(0.0585405\pi\) | |||||||
\(710\) | −7.54259 | − | 3.95423i | −0.283068 | − | 0.148400i | ||||
\(711\) | 4.50265 | − | 3.27136i | 0.168862 | − | 0.122686i | ||||
\(712\) | 10.1042 | + | 21.6663i | 0.378670 | + | 0.811980i | ||||
\(713\) | 18.4581 | + | 56.8082i | 0.691261 | + | 2.12748i | ||||
\(714\) | 18.5060 | + | 3.15197i | 0.692571 | + | 0.117960i | ||||
\(715\) | 5.48827 | − | 7.31912i | 0.205250 | − | 0.273720i | ||||
\(716\) | −2.28135 | + | 6.50290i | −0.0852580 | + | 0.243025i | ||||
\(717\) | −13.0634 | + | 4.24456i | −0.487862 | + | 0.158516i | ||||
\(718\) | 28.2195 | + | 28.8833i | 1.05314 | + | 1.07791i | ||||
\(719\) | −11.1867 | − | 15.3972i | −0.417195 | − | 0.574219i | 0.547760 | − | 0.836636i | \(-0.315481\pi\) |
−0.964955 | + | 0.262416i | \(0.915481\pi\) | |||||||
\(720\) | 12.3570 | − | 8.12823i | 0.460519 | − | 0.302921i | ||||
\(721\) | −20.4485 | − | 6.64412i | −0.761542 | − | 0.247440i | ||||
\(722\) | 21.8546 | − | 10.8174i | 0.813346 | − | 0.402582i | ||||
\(723\) | 0.339845 | + | 0.246912i | 0.0126390 | + | 0.00918274i | ||||
\(724\) | −0.732663 | + | 31.5122i | −0.0272292 | + | 1.17114i | ||||
\(725\) | − | 1.11771i | − | 0.0415108i | ||||||
\(726\) | 2.82288 | − | 14.0062i | 0.104767 | − | 0.519820i | ||||
\(727\) | − | 19.7014i | − | 0.730685i | −0.930873 | − | 0.365342i | \(-0.880952\pi\) | ||
0.930873 | − | 0.365342i | \(-0.119048\pi\) | |||||||
\(728\) | 10.6768 | + | 2.07495i | 0.395709 | + | 0.0769026i | ||||
\(729\) | 6.85951 | + | 4.98372i | 0.254056 | + | 0.184582i | ||||
\(730\) | −2.26118 | − | 4.56832i | −0.0836901 | − | 0.169081i | ||||
\(731\) | 54.3892 | + | 17.6721i | 2.01166 | + | 0.653627i | ||||
\(732\) | 11.0237 | − | 14.4539i | 0.407447 | − | 0.534233i | ||||
\(733\) | −29.2902 | − | 40.3146i | −1.08186 | − | 1.48905i | −0.857457 | − | 0.514556i | \(-0.827957\pi\) |
−0.224403 | − | 0.974496i | \(-0.572043\pi\) | |||||||
\(734\) | 0.393929 | − | 0.384876i | 0.0145402 | − | 0.0142060i | ||||
\(735\) | −1.92512 | + | 0.625509i | −0.0710091 | + | 0.0230722i | ||||
\(736\) | −30.6661 | + | 27.2940i | −1.13037 | + | 1.00607i | ||||
\(737\) | 9.53248 | − | 12.7125i | 0.351133 | − | 0.468270i | ||||
\(738\) | −2.60730 | + | 15.3081i | −0.0959761 | + | 0.563500i | ||||
\(739\) | 5.07527 | + | 15.6201i | 0.186697 | + | 0.574593i | 0.999973 | − | 0.00728362i | \(-0.00231847\pi\) |
−0.813277 | + | 0.581877i | \(0.802318\pi\) | |||||||
\(740\) | −0.721144 | − | 1.04270i | −0.0265098 | − | 0.0383305i | ||||
\(741\) | 1.58436 | − | 1.15111i | 0.0582029 | − | 0.0422869i | ||||
\(742\) | 3.89081 | − | 7.42162i | 0.142836 | − | 0.272456i | ||||
\(743\) | 0.924280 | − | 2.84464i | 0.0339086 | − | 0.104360i | −0.932670 | − | 0.360731i | \(-0.882527\pi\) |
0.966578 | + | 0.256372i | \(0.0825271\pi\) | |||||||
\(744\) | 21.2219 | − | 2.60654i | 0.778034 | − | 0.0955603i | ||||
\(745\) | 2.38172 | − | 3.27815i | 0.0872593 | − | 0.120102i | ||||
\(746\) | −13.9249 | + | 2.03988i | −0.509828 | + | 0.0746853i | ||||
\(747\) | 8.56310 | 0.313307 | ||||||||
\(748\) | −31.5168 | − | 24.7981i | −1.15237 | − | 0.906708i | ||||
\(749\) | 7.37013 | 0.269299 | ||||||||
\(750\) | −15.5577 | + | 2.27907i | −0.568087 | + | 0.0832198i | ||||
\(751\) | −24.4608 | + | 33.6674i | −0.892587 | + | 1.22854i | 0.0801854 | + | 0.996780i | \(0.474449\pi\) |
−0.972773 | + | 0.231761i | \(0.925551\pi\) | |||||||
\(752\) | 0.744976 | − | 16.0122i | 0.0271665 | − | 0.583906i | ||||
\(753\) | 3.60900 | − | 11.1074i | 0.131519 | − | 0.404775i | ||||
\(754\) | −0.573183 | + | 1.09333i | −0.0208741 | + | 0.0398168i | ||||
\(755\) | −26.4990 | + | 19.2526i | −0.964397 | + | 0.700675i | ||||
\(756\) | 18.6231 | − | 12.8799i | 0.677315 | − | 0.468438i | ||||
\(757\) | −7.07412 | − | 21.7719i | −0.257113 | − | 0.791313i | −0.993406 | − | 0.114650i | \(-0.963425\pi\) |
0.736293 | − | 0.676663i | \(-0.236575\pi\) | |||||||
\(758\) | 4.77572 | − | 28.0394i | 0.173462 | − | 1.01844i | ||||
\(759\) | 6.51342 | + | 21.1256i | 0.236422 | + | 0.766812i | ||||
\(760\) | −5.62279 | − | 3.11649i | −0.203960 | − | 0.113047i | ||||
\(761\) | −45.5970 | + | 14.8154i | −1.65289 | + | 0.537056i | −0.979363 | − | 0.202107i | \(-0.935221\pi\) |
−0.673526 | + | 0.739163i | \(0.735221\pi\) | |||||||
\(762\) | −0.303278 | + | 0.296309i | −0.0109866 | + | 0.0107341i | ||||
\(763\) | −13.6138 | − | 18.7377i | −0.492851 | − | 0.678352i | ||||
\(764\) | 11.3289 | + | 8.64028i | 0.409865 | + | 0.312594i | ||||
\(765\) | −21.2611 | − | 6.90814i | −0.768696 | − | 0.249764i | ||||
\(766\) | 6.45019 | + | 13.0315i | 0.233055 | + | 0.470846i | ||||
\(767\) | −9.17705 | − | 6.66752i | −0.331364 | − | 0.240750i | ||||
\(768\) | 7.49652 | + | 12.6394i | 0.270507 | + | 0.456086i | ||||
\(769\) | 43.0718i | 1.55321i | 0.629989 | + | 0.776604i | \(0.283059\pi\) | ||||
−0.629989 | + | 0.776604i | \(0.716941\pi\) | |||||||
\(770\) | −18.9027 | − | 3.51381i | −0.681206 | − | 0.126629i | ||||
\(771\) | 1.36936i | 0.0493164i | ||||||||
\(772\) | 33.7159 | + | 0.783899i | 1.21346 | + | 0.0282131i | ||||
\(773\) | 10.3986 | + | 7.55502i | 0.374011 | + | 0.271735i | 0.758872 | − | 0.651239i | \(-0.225751\pi\) |
−0.384861 | + | 0.922975i | \(0.625751\pi\) | |||||||
\(774\) | 25.8537 | − | 12.7968i | 0.929291 | − | 0.459972i | ||||
\(775\) | 16.1233 | + | 5.23877i | 0.579165 | + | 0.188182i | ||||
\(776\) | −17.2229 | + | 16.0618i | −0.618266 | + | 0.576586i | ||||
\(777\) | −0.477089 | − | 0.656656i | −0.0171155 | − | 0.0235574i | ||||
\(778\) | 19.0545 | + | 19.5026i | 0.683136 | + | 0.699203i | ||||
\(779\) | 6.41909 | − | 2.08569i | 0.229988 | − | 0.0747276i | ||||
\(780\) | 4.78109 | + | 1.67730i | 0.171191 | + | 0.0600571i | ||||
\(781\) | 6.70336 | + | 9.52537i | 0.239865 | + | 0.340844i | ||||
\(782\) | 61.1687 | + | 10.4183i | 2.18739 | + | 0.372559i | ||||
\(783\) | 0.794157 | + | 2.44417i | 0.0283809 | + | 0.0873473i | ||||
\(784\) | 1.35974 | + | 4.95807i | 0.0485622 | + | 0.177074i | ||||
\(785\) | −13.6097 | + | 9.88801i | −0.485750 | + | 0.352918i | ||||
\(786\) | −12.4657 | − | 6.53517i | −0.444635 | − | 0.233102i | ||||
\(787\) | −12.3196 | + | 37.9159i | −0.439147 | + | 1.35156i | 0.449629 | + | 0.893215i | \(0.351556\pi\) |
−0.888777 | + | 0.458341i | \(0.848444\pi\) | |||||||
\(788\) | −14.1614 | − | 47.2981i | −0.504480 | − | 1.68493i | ||||
\(789\) | −7.96720 | + | 10.9659i | −0.283640 | + | 0.390397i | ||||
\(790\) | −0.907156 | − | 6.19256i | −0.0322752 | − | 0.220322i | ||||
\(791\) | 25.7119 | 0.914211 | ||||||||
\(792\) | −20.1132 | + | 2.16284i | −0.714691 | + | 0.0768533i | ||||
\(793\) | −15.9186 | −0.565287 | ||||||||
\(794\) | 7.81043 | + | 53.3167i | 0.277182 | + | 1.89214i | ||||
\(795\) | 2.29448 | − | 3.15809i | 0.0813770 | − | 0.112006i | ||||
\(796\) | 9.04055 | + | 30.1948i | 0.320434 | + | 1.07023i | ||||
\(797\) | −8.31012 | + | 25.5759i | −0.294360 | + | 0.905946i | 0.689076 | + | 0.724689i | \(0.258016\pi\) |
−0.983436 | + | 0.181257i | \(0.941984\pi\) | |||||||
\(798\) | −3.64528 | − | 1.91105i | −0.129041 | − | 0.0676505i | ||||
\(799\) | −19.6006 | + | 14.2407i | −0.693420 | + | 0.503799i | ||||
\(800\) | 1.15123 | + | 11.5947i | 0.0407021 | + | 0.409935i | ||||
\(801\) | −5.63237 | − | 17.3346i | −0.199010 | − | 0.612489i | ||||
\(802\) | −5.78815 | − | 0.985846i | −0.204387 | − | 0.0348114i | ||||
\(803\) | −0.105188 | + | 6.97076i | −0.00371201 | + | 0.245993i | ||||
\(804\) | 8.30421 | + | 2.91328i | 0.292867 | + | 0.102744i | ||||
\(805\) | 28.2923 | − | 9.19273i | 0.997173 | − | 0.324001i | ||||
\(806\) | −13.0850 | − | 13.3928i | −0.460900 | − | 0.471741i | ||||
\(807\) | 7.09595 | + | 9.76674i | 0.249789 | + | 0.343806i | ||||
\(808\) | −17.4191 | − | 18.6783i | −0.612801 | − | 0.657099i | ||||
\(809\) | −11.0316 | − | 3.58440i | −0.387852 | − | 0.126021i | 0.108599 | − | 0.994086i | \(-0.465364\pi\) |
−0.496451 | + | 0.868065i | \(0.665364\pi\) | |||||||
\(810\) | −4.60635 | + | 2.28001i | −0.161851 | + | 0.0801114i | ||||
\(811\) | −29.6177 | − | 21.5185i | −1.04002 | − | 0.755616i | −0.0697279 | − | 0.997566i | \(-0.522213\pi\) |
−0.970289 | + | 0.241950i | \(0.922213\pi\) | |||||||
\(812\) | 2.59373 | + | 0.0603046i | 0.0910221 | + | 0.00211628i | ||||
\(813\) | − | 10.3811i | − | 0.364080i | ||||||
\(814\) | 0.225411 | + | 1.71923i | 0.00790064 | + | 0.0602590i | ||||
\(815\) | − | 24.4298i | − | 0.855738i | ||||||
\(816\) | 7.83794 | − | 20.7822i | 0.274383 | − | 0.727523i | ||||
\(817\) | −10.1438 | − | 7.36989i | −0.354886 | − | 0.257840i | ||||
\(818\) | 7.10287 | + | 14.3501i | 0.248346 | + | 0.501739i | ||||
\(819\) | −7.88660 | − | 2.56251i | −0.275580 | − | 0.0895414i | ||||
\(820\) | 13.8849 | + | 10.5897i | 0.484883 | + | 0.369808i | ||||
\(821\) | 18.6399 | + | 25.6556i | 0.650536 | + | 0.895386i | 0.999122 | − | 0.0418907i | \(-0.0133381\pi\) |
−0.348586 | + | 0.937277i | \(0.613338\pi\) | |||||||
\(822\) | 1.17292 | − | 1.14596i | 0.0409102 | − | 0.0399701i | ||||
\(823\) | −17.5566 | + | 5.70447i | −0.611983 | + | 0.198845i | −0.598578 | − | 0.801065i | \(-0.704267\pi\) |
−0.0134055 | + | 0.999910i | \(0.504267\pi\) | |||||||
\(824\) | −12.3323 | + | 22.2500i | −0.429616 | + | 0.775117i | ||||
\(825\) | 5.93736 | + | 2.02871i | 0.206712 | + | 0.0706305i | ||||
\(826\) | −4.00284 | + | 23.5016i | −0.139276 | + | 0.817727i | ||||
\(827\) | 5.85114 | + | 18.0080i | 0.203464 | + | 0.626199i | 0.999773 | + | 0.0213081i | \(0.00678310\pi\) |
−0.796309 | + | 0.604890i | \(0.793217\pi\) | |||||||
\(828\) | 25.7427 | − | 17.8039i | 0.894621 | − | 0.618728i | ||||
\(829\) | −6.62707 | + | 4.81485i | −0.230168 | + | 0.167227i | −0.696892 | − | 0.717176i | \(-0.745434\pi\) |
0.466724 | + | 0.884403i | \(0.345434\pi\) | |||||||
\(830\) | 4.47111 | − | 8.52852i | 0.155194 | − | 0.296029i | ||||
\(831\) | 0.448896 | − | 1.38156i | 0.0155720 | − | 0.0479258i | ||||
\(832\) | 4.81986 | − | 11.9322i | 0.167099 | − | 0.413673i | ||||
\(833\) | 4.56740 | − | 6.28649i | 0.158251 | − | 0.217814i | ||||
\(834\) | 12.9156 | − | 1.89202i | 0.447230 | − | 0.0655152i | ||||
\(835\) | −0.120245 | −0.00416125 | ||||||||
\(836\) | 4.89169 | + | 7.30614i | 0.169183 | + | 0.252688i | ||||
\(837\) | −38.9799 | −1.34734 | ||||||||
\(838\) | −29.6780 | + | 4.34756i | −1.02521 | + | 0.150184i | ||||
\(839\) | 21.3596 | − | 29.3990i | 0.737416 | − | 1.01497i | −0.261347 | − | 0.965245i | \(-0.584167\pi\) |
0.998763 | − | 0.0497210i | \(-0.0158332\pi\) | |||||||
\(840\) | −1.29814 | − | 10.5692i | −0.0447901 | − | 0.364673i | ||||
\(841\) | 8.87050 | − | 27.3006i | 0.305879 | − | 0.941400i | ||||
\(842\) | 16.2738 | − | 31.0418i | 0.560832 | − | 1.06977i | ||||
\(843\) | 6.55001 | − | 4.75886i | 0.225594 | − | 0.163904i | ||||
\(844\) | −27.1824 | − | 39.3031i | −0.935658 | − | 1.35287i | ||||
\(845\) | 5.51727 | + | 16.9804i | 0.189800 | + | 0.584144i | ||||
\(846\) | −2.05198 | + | 12.0477i | −0.0705484 | + | 0.414207i | ||||
\(847\) | 20.7979 | + | 16.0913i | 0.714623 | + | 0.552903i | ||||
\(848\) | −7.74156 | − | 6.19413i | −0.265846 | − | 0.212707i | ||||
\(849\) | 17.7132 | − | 5.75535i | 0.607914 | − | 0.197523i | ||||
\(850\) | 12.5967 | − | 12.3072i | 0.432062 | − | 0.422133i | ||||
\(851\) | −1.57694 | − | 2.17047i | −0.0540568 | − | 0.0744028i | ||||
\(852\) | −3.91213 | + | 5.12947i | −0.134027 | + | 0.175733i | ||||
\(853\) | −11.3089 | − | 3.67449i | −0.387210 | − | 0.125812i | 0.108941 | − | 0.994048i | \(-0.465254\pi\) |
−0.496152 | + | 0.868236i | \(0.665254\pi\) | |||||||
\(854\) | 14.8410 | + | 29.9836i | 0.507848 | + | 1.02602i | ||||
\(855\) | 3.96527 | + | 2.88093i | 0.135609 | + | 0.0985259i | ||||
\(856\) | 1.66356 | − | 8.55998i | 0.0568592 | − | 0.292574i | ||||
\(857\) | − | 35.7039i | − | 1.21962i | −0.792547 | − | 0.609811i | \(-0.791245\pi\) | ||
0.792547 | − | 0.609811i | \(-0.208755\pi\) | |||||||
\(858\) | −4.76749 | − | 5.02924i | −0.162759 | − | 0.171695i | ||||
\(859\) | − | 40.2518i | − | 1.37337i | −0.726953 | − | 0.686687i | \(-0.759064\pi\) | ||
0.726953 | − | 0.686687i | \(-0.240936\pi\) | |||||||
\(860\) | 0.754024 | − | 32.4310i | 0.0257120 | − | 1.10589i | ||||
\(861\) | 9.04472 | + | 6.57137i | 0.308243 | + | 0.223952i | ||||
\(862\) | −2.23998 | + | 1.10872i | −0.0762940 | + | 0.0377633i | ||||
\(863\) | 17.2998 | + | 5.62104i | 0.588891 | + | 0.191342i | 0.588280 | − | 0.808657i | \(-0.299805\pi\) |
0.000611565 | 1.00000i | \(0.499805\pi\) | ||||||||
\(864\) | −10.7557 | − | 24.5368i | −0.365917 | − | 0.834760i | ||||
\(865\) | 19.9844 | + | 27.5062i | 0.679490 | + | 0.935238i | ||||
\(866\) | 32.5662 | + | 33.3322i | 1.10664 | + | 1.13267i | ||||
\(867\) | −17.0781 | + | 5.54901i | −0.580003 | + | 0.188454i | ||||
\(868\) | −13.0268 | + | 37.1325i | −0.442160 | + | 1.26036i | ||||
\(869\) | −2.76770 | + | 8.10014i | −0.0938877 | + | 0.274779i | ||||
\(870\) | 1.19144 | + | 0.202928i | 0.0403936 | + | 0.00687990i | ||||
\(871\) | −2.38147 | − | 7.32941i | −0.0806930 | − | 0.248348i | ||||
\(872\) | −24.8356 | + | 11.5822i | −0.841041 | + | 0.392222i | ||||
\(873\) | 14.5259 | − | 10.5537i | 0.491627 | − | 0.357188i | ||||
\(874\) | −12.0489 | − | 6.31667i | −0.407559 | − | 0.213664i | ||||
\(875\) | 8.94254 | − | 27.5223i | 0.302313 | − | 0.930424i | ||||
\(876\) | −3.69897 | + | 1.10750i | −0.124977 | + | 0.0374189i | ||||
\(877\) | 23.4777 | − | 32.3142i | 0.792784 | − | 1.09117i | −0.200971 | − | 0.979597i | \(-0.564410\pi\) |
0.993756 | − | 0.111577i | \(-0.0355902\pi\) | |||||||
\(878\) | −5.60667 | − | 38.2730i | −0.189216 | − | 1.29165i | ||||
\(879\) | 12.8141 | 0.432210 | ||||||||
\(880\) | −8.34772 | + | 21.1613i | −0.281402 | + | 0.713346i | ||||
\(881\) | 21.8173 | 0.735045 | 0.367522 | − | 0.930015i | \(-0.380206\pi\) | ||||
0.367522 | + | 0.930015i | \(0.380206\pi\) | |||||||
\(882\) | −0.568135 | − | 3.87829i | −0.0191301 | − | 0.130589i | ||||
\(883\) | 9.07011 | − | 12.4839i | 0.305234 | − | 0.420118i | −0.628654 | − | 0.777685i | \(-0.716394\pi\) |
0.933887 | + | 0.357567i | \(0.116394\pi\) | |||||||
\(884\) | −18.6332 | + | 5.57893i | −0.626704 | + | 0.187640i | ||||
\(885\) | −3.43186 | + | 10.5622i | −0.115361 | + | 0.355044i | ||||
\(886\) | 2.12344 | + | 1.11322i | 0.0713384 | + | 0.0373994i | ||||
\(887\) | −13.7001 | + | 9.95369i | −0.460004 | + | 0.334212i | −0.793533 | − | 0.608528i | \(-0.791760\pi\) |
0.333529 | + | 0.942740i | \(0.391760\pi\) | |||||||
\(888\) | −0.870355 | + | 0.405893i | −0.0292072 | + | 0.0136209i | ||||
\(889\) | −0.241141 | − | 0.742156i | −0.00808761 | − | 0.0248911i | ||||
\(890\) | −20.2055 | − | 3.44143i | −0.677290 | − | 0.115357i | ||||
\(891\) | 7.02880 | + | 0.106064i | 0.235474 | + | 0.00355327i | ||||
\(892\) | −12.4910 | + | 35.6053i | −0.418231 | + | 1.19215i | ||||
\(893\) | 5.05190 | − | 1.64146i | 0.169055 | − | 0.0549294i | ||||
\(894\) | −2.14502 | − | 2.19548i | −0.0717403 | − | 0.0734277i | ||||
\(895\) | −3.47290 | − | 4.78003i | −0.116086 | − | 0.159779i | ||||
\(896\) | −26.9685 | + | 2.04593i | −0.900953 | + | 0.0683498i | ||||
\(897\) | 10.1974 | + | 3.31333i | 0.340481 | + | 0.110629i | ||||
\(898\) | 23.4898 | − | 11.6267i | 0.783863 | − | 0.387989i | ||||
\(899\) | −3.61330 | − | 2.62522i | −0.120510 | − | 0.0875559i | ||||
\(900\) | 0.206485 | − | 8.88104i | 0.00688284 | − | 0.296035i | ||||
\(901\) | 14.9853i | 0.499233i | ||||||||
\(902\) | −10.2705 | − | 21.5620i | −0.341970 | − | 0.717938i | ||||
\(903\) | − | 20.7688i | − | 0.691144i | ||||||
\(904\) | 5.80359 | − | 29.8629i | 0.193025 | − | 0.993226i | ||||
\(905\) | −21.8633 | − | 15.8846i | −0.726761 | − | 0.528023i | ||||
\(906\) | 11.0065 | + | 22.2367i | 0.365667 | + | 0.738765i | ||||
\(907\) | −23.7227 | − | 7.70798i | −0.787700 | − | 0.255939i | −0.112576 | − | 0.993643i | \(-0.535910\pi\) |
−0.675124 | + | 0.737704i | \(0.735910\pi\) | |||||||
\(908\) | 13.6671 | − | 17.9199i | 0.453558 | − | 0.594693i | ||||
\(909\) | 11.4455 | + | 15.7534i | 0.379623 | + | 0.522506i | ||||
\(910\) | −6.67005 | + | 6.51677i | −0.221110 | + | 0.216029i | ||||
\(911\) | −42.2349 | + | 13.7229i | −1.39930 | + | 0.454662i | −0.908966 | − | 0.416871i | \(-0.863127\pi\) |
−0.490338 | + | 0.871532i | \(0.663127\pi\) | |||||||
\(912\) | −3.04237 | + | 3.80242i | −0.100743 | + | 0.125911i | ||||
\(913\) | −10.7705 | + | 7.57958i | −0.356451 | + | 0.250848i | ||||
\(914\) | −2.58419 | + | 15.1724i | −0.0854773 | + | 0.501858i | ||||
\(915\) | 4.81603 | + | 14.8222i | 0.159213 | + | 0.490008i | ||||
\(916\) | −24.8595 | − | 35.9445i | −0.821382 | − | 1.18764i | ||||
\(917\) | 20.9567 | − | 15.2260i | 0.692052 | − | 0.502805i | ||||
\(918\) | −18.8013 | + | 35.8630i | −0.620536 | + | 1.18366i | ||||
\(919\) | −14.9742 | + | 46.0859i | −0.493954 | + | 1.52023i | 0.324626 | + | 0.945842i | \(0.394761\pi\) |
−0.818580 | + | 0.574392i | \(0.805239\pi\) | |||||||
\(920\) | −4.29079 | − | 34.9348i | −0.141463 | − | 1.15177i | ||||
\(921\) | 3.17883 | − | 4.37529i | 0.104746 | − | 0.144171i | ||||
\(922\) | 19.3489 | − | 2.83445i | 0.637223 | − | 0.0933476i | ||||
\(923\) | 5.64926 | 0.185948 | ||||||||
\(924\) | −5.02810 | + | 13.6686i | −0.165412 | + | 0.449664i | ||||
\(925\) | −0.761445 | −0.0250362 | ||||||||
\(926\) | −52.2851 | + | 7.65931i | −1.71819 | + | 0.251700i | ||||
\(927\) | 11.4002 | − | 15.6910i | 0.374432 | − | 0.515361i | ||||
\(928\) | 0.655487 | − | 2.99886i | 0.0215174 | − | 0.0984423i | ||||
\(929\) | 6.91854 | − | 21.2931i | 0.226990 | − | 0.698603i | −0.771094 | − | 0.636722i | \(-0.780290\pi\) |
0.998084 | − | 0.0618814i | \(-0.0197100\pi\) | |||||||
\(930\) | −8.51161 | + | 16.2357i | −0.279107 | + | 0.532388i | ||||
\(931\) | −1.37830 | + | 1.00139i | −0.0451720 | + | 0.0328194i | ||||
\(932\) | −10.4505 | + | 7.22767i | −0.342318 | + | 0.236750i | ||||
\(933\) | −7.44555 | − | 22.9150i | −0.243756 | − | 0.750205i | ||||
\(934\) | 3.27570 | − | 19.2324i | 0.107184 | − | 0.629305i | ||||
\(935\) | 32.8564 | − | 10.1302i | 1.07452 | − | 0.331294i | ||||
\(936\) | −4.75634 | + | 8.58142i | −0.155466 | + | 0.280493i | ||||
\(937\) | −34.2110 | + | 11.1158i | −1.11762 | + | 0.363138i | −0.808860 | − | 0.588001i | \(-0.799915\pi\) |
−0.308763 | + | 0.951139i | \(0.599915\pi\) | |||||||
\(938\) | −11.5851 | + | 11.3189i | −0.378267 | + | 0.369574i | ||||
\(939\) | −9.24875 | − | 12.7298i | −0.301821 | − | 0.415422i | ||||
\(940\) | 10.9276 | + | 8.33422i | 0.356419 | + | 0.271832i | ||||
\(941\) | 47.1567 | + | 15.3221i | 1.53726 | + | 0.499487i | 0.950620 | − | 0.310357i | \(-0.100449\pi\) |
0.586644 | + | 0.809845i | \(0.300449\pi\) | |||||||
\(942\) | 5.65286 | + | 11.4206i | 0.184180 | + | 0.372103i | ||||
\(943\) | 29.8959 | + | 21.7206i | 0.973543 | + | 0.707320i | ||||
\(944\) | 26.3923 | + | 9.95376i | 0.858996 | + | 0.323967i | ||||
\(945\) | 19.4133i | 0.631513i | ||||||||
\(946\) | −21.1912 | + | 38.9798i | −0.688984 | + | 1.26734i | ||||
\(947\) | − | 45.1846i | − | 1.46830i | −0.678985 | − | 0.734152i | \(-0.737580\pi\) | ||
0.678985 | − | 0.734152i | \(-0.262420\pi\) | |||||||
\(948\) | −4.73965 | − | 0.110198i | −0.153937 | − | 0.00357905i | ||||
\(949\) | 2.73553 | + | 1.98748i | 0.0887989 | + | 0.0645162i | ||||
\(950\) | −3.46045 | + | 1.71282i | −0.112272 | + | 0.0555713i | ||||
\(951\) | −0.696347 | − | 0.226257i | −0.0225806 | − | 0.00733688i | ||||
\(952\) | 27.8801 | + | 29.8955i | 0.903599 | + | 0.968918i | ||||
\(953\) | −17.5119 | − | 24.1030i | −0.567265 | − | 0.780774i | 0.424962 | − | 0.905211i | \(-0.360287\pi\) |
−0.992227 | + | 0.124437i | \(0.960287\pi\) | |||||||
\(954\) | 5.28255 | + | 5.40680i | 0.171029 | + | 0.175052i | ||||
\(955\) | −11.6176 | + | 3.77477i | −0.375935 | + | 0.122149i | ||||
\(956\) | −28.2239 | − | 9.90149i | −0.912825 | − | 0.320237i | ||||
\(957\) | −1.32249 | − | 0.991672i | −0.0427500 | − | 0.0320562i | ||||
\(958\) | −18.8307 | − | 3.20728i | −0.608393 | − | 0.103622i | ||||
\(959\) | 0.932605 | + | 2.87026i | 0.0301154 | + | 0.0926856i | ||||
\(960\) | −12.5685 | − | 0.877926i | −0.405648 | − | 0.0283349i | ||||
\(961\) | 29.7256 | − | 21.5969i | 0.958889 | − | 0.696674i | ||||
\(962\) | 0.744835 | + | 0.390483i | 0.0240145 | + | 0.0125897i | ||||
\(963\) | −2.05445 | + | 6.32296i | −0.0662038 | + | 0.203754i | ||||
\(964\) | 0.262370 | + | 0.876296i | 0.00845036 | + | 0.0282236i | ||||
\(965\) | −16.9954 | + | 23.3922i | −0.547103 | + | 0.753022i | ||||
\(966\) | −3.26622 | − | 22.2964i | −0.105089 | − | 0.717374i | ||||
\(967\) | −2.10906 | −0.0678227 | −0.0339113 | − | 0.999425i | \(-0.510796\pi\) | ||||
−0.0339113 | + | 0.999425i | \(0.510796\pi\) | |||||||
\(968\) | 23.3835 | − | 20.5235i | 0.751574 | − | 0.659649i | ||||
\(969\) | 7.36033 | 0.236448 | ||||||||
\(970\) | −2.92656 | − | 19.9777i | −0.0939661 | − | 0.641445i | ||||
\(971\) | −33.7588 | + | 46.4651i | −1.08337 | + | 1.49113i | −0.227620 | + | 0.973750i | \(0.573094\pi\) |
−0.855753 | + | 0.517385i | \(0.826906\pi\) | |||||||
\(972\) | 9.26716 | + | 30.9516i | 0.297244 | + | 0.992774i | ||||
\(973\) | −7.42385 | + | 22.8483i | −0.237998 | + | 0.732481i | ||||
\(974\) | 44.7636 | + | 23.4675i | 1.43432 | + | 0.751947i | ||||
\(975\) | 2.46197 | − | 1.78872i | 0.0788461 | − | 0.0572850i | ||||
\(976\) | 38.1740 | − | 10.4692i | 1.22192 | − | 0.335110i | ||||
\(977\) | 1.61602 | + | 4.97360i | 0.0517011 | + | 0.159120i | 0.973573 | − | 0.228374i | \(-0.0733409\pi\) |
−0.921872 | + | 0.387494i | \(0.873341\pi\) | |||||||
\(978\) | −18.2429 | − | 3.10715i | −0.583342 | − | 0.0993557i | ||||
\(979\) | 22.4279 | + | 16.8177i | 0.716800 | + | 0.537495i | ||||
\(980\) | −4.15927 | − | 1.45916i | −0.132863 | − | 0.0466110i | ||||
\(981\) | 19.8703 | − | 6.45625i | 0.634410 | − | 0.206132i | ||||
\(982\) | 39.8769 | + | 40.8148i | 1.27252 | + | 1.30245i | ||||
\(983\) | 16.7859 | + | 23.1038i | 0.535386 | + | 0.736896i | 0.987939 | − | 0.154841i | \(-0.0494867\pi\) |
−0.452553 | + | 0.891738i | \(0.649487\pi\) | |||||||
\(984\) | 9.67380 | − | 9.02165i | 0.308390 | − | 0.287600i | ||||
\(985\) | 40.2582 | + | 13.0807i | 1.28273 | + | 0.416785i | ||||
\(986\) | −4.15812 | + | 2.05815i | −0.132422 | + | 0.0655448i | ||||
\(987\) | 7.11830 | + | 5.17175i | 0.226578 | + | 0.164619i | ||||
\(988\) | 4.26333 | + | 0.0991231i | 0.135635 | + | 0.00315353i | ||||
\(989\) | − | 68.6481i | − | 2.18288i | ||||||
\(990\) | 8.28376 | − | 15.2375i | 0.263275 | − | 0.484278i | ||||
\(991\) | − | 0.537995i | − | 0.0170900i | −0.999963 | − | 0.00854499i | \(-0.997280\pi\) | ||
0.999963 | − | 0.00854499i | \(-0.00271999\pi\) | |||||||
\(992\) | 40.1869 | + | 23.5113i | 1.27594 | + | 0.746485i | ||||
\(993\) | −15.8254 | − | 11.4978i | −0.502203 | − | 0.364872i | ||||
\(994\) | −5.26683 | − | 10.6407i | −0.167054 | − | 0.337502i | ||||
\(995\) | −25.7006 | − | 8.35062i | −0.814762 | − | 0.264732i | ||||
\(996\) | −5.79997 | − | 4.42350i | −0.183779 | − | 0.140164i | ||||
\(997\) | 14.2814 | + | 19.6567i | 0.452297 | + | 0.622534i | 0.972889 | − | 0.231272i | \(-0.0742887\pi\) |
−0.520592 | + | 0.853806i | \(0.674289\pi\) | |||||||
\(998\) | 4.11727 | − | 4.02266i | 0.130330 | − | 0.127335i | ||||
\(999\) | 1.66509 | − | 0.541022i | 0.0526813 | − | 0.0171172i |
(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 | 44.2.g.a.39.4 | yes | 16 | |
3.2 | odd | 2 | 396.2.r.a.127.1 | 16 | |||
4.3 | odd | 2 | inner | 44.2.g.a.39.3 | yes | 16 | |
8.3 | odd | 2 | 704.2.u.c.127.2 | 16 | |||
8.5 | even | 2 | 704.2.u.c.127.3 | 16 | |||
11.2 | odd | 10 | inner | 44.2.g.a.35.3 | ✓ | 16 | |
11.3 | even | 5 | 484.2.c.d.483.16 | 16 | |||
11.4 | even | 5 | 484.2.g.f.239.1 | 16 | |||
11.5 | even | 5 | 484.2.g.j.403.1 | 16 | |||
11.6 | odd | 10 | 484.2.g.f.403.4 | 16 | |||
11.7 | odd | 10 | 484.2.g.j.239.4 | 16 | |||
11.8 | odd | 10 | 484.2.c.d.483.1 | 16 | |||
11.9 | even | 5 | 484.2.g.i.475.2 | 16 | |||
11.10 | odd | 2 | 484.2.g.i.215.1 | 16 | |||
12.11 | even | 2 | 396.2.r.a.127.2 | 16 | |||
33.2 | even | 10 | 396.2.r.a.343.2 | 16 | |||
44.3 | odd | 10 | 484.2.c.d.483.2 | 16 | |||
44.7 | even | 10 | 484.2.g.j.239.1 | 16 | |||
44.15 | odd | 10 | 484.2.g.f.239.4 | 16 | |||
44.19 | even | 10 | 484.2.c.d.483.15 | 16 | |||
44.27 | odd | 10 | 484.2.g.j.403.4 | 16 | |||
44.31 | odd | 10 | 484.2.g.i.475.1 | 16 | |||
44.35 | even | 10 | inner | 44.2.g.a.35.4 | yes | 16 | |
44.39 | even | 10 | 484.2.g.f.403.1 | 16 | |||
44.43 | even | 2 | 484.2.g.i.215.2 | 16 | |||
88.13 | odd | 10 | 704.2.u.c.255.2 | 16 | |||
88.35 | even | 10 | 704.2.u.c.255.3 | 16 | |||
132.35 | odd | 10 | 396.2.r.a.343.1 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
44.2.g.a.35.3 | ✓ | 16 | 11.2 | odd | 10 | inner | |
44.2.g.a.35.4 | yes | 16 | 44.35 | even | 10 | inner | |
44.2.g.a.39.3 | yes | 16 | 4.3 | odd | 2 | inner | |
44.2.g.a.39.4 | yes | 16 | 1.1 | even | 1 | trivial | |
396.2.r.a.127.1 | 16 | 3.2 | odd | 2 | |||
396.2.r.a.127.2 | 16 | 12.11 | even | 2 | |||
396.2.r.a.343.1 | 16 | 132.35 | odd | 10 | |||
396.2.r.a.343.2 | 16 | 33.2 | even | 10 | |||
484.2.c.d.483.1 | 16 | 11.8 | odd | 10 | |||
484.2.c.d.483.2 | 16 | 44.3 | odd | 10 | |||
484.2.c.d.483.15 | 16 | 44.19 | even | 10 | |||
484.2.c.d.483.16 | 16 | 11.3 | even | 5 | |||
484.2.g.f.239.1 | 16 | 11.4 | even | 5 | |||
484.2.g.f.239.4 | 16 | 44.15 | odd | 10 | |||
484.2.g.f.403.1 | 16 | 44.39 | even | 10 | |||
484.2.g.f.403.4 | 16 | 11.6 | odd | 10 | |||
484.2.g.i.215.1 | 16 | 11.10 | odd | 2 | |||
484.2.g.i.215.2 | 16 | 44.43 | even | 2 | |||
484.2.g.i.475.1 | 16 | 44.31 | odd | 10 | |||
484.2.g.i.475.2 | 16 | 11.9 | even | 5 | |||
484.2.g.j.239.1 | 16 | 44.7 | even | 10 | |||
484.2.g.j.239.4 | 16 | 11.7 | odd | 10 | |||
484.2.g.j.403.1 | 16 | 11.5 | even | 5 | |||
484.2.g.j.403.4 | 16 | 44.27 | odd | 10 | |||
704.2.u.c.127.2 | 16 | 8.3 | odd | 2 | |||
704.2.u.c.127.3 | 16 | 8.5 | even | 2 | |||
704.2.u.c.255.2 | 16 | 88.13 | odd | 10 | |||
704.2.u.c.255.3 | 16 | 88.35 | even | 10 |