Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(248,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 9, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.248");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.x (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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 248.1 | ||
Character | \(\chi\) | \(=\) | 429.248 |
Dual form | 429.2.x.a.365.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{9}{10}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.867138 | − | 2.66878i | −0.613159 | − | 1.88711i | −0.425793 | − | 0.904820i | \(-0.640005\pi\) |
−0.187366 | − | 0.982290i | \(-0.559995\pi\) | |||||||
\(3\) | −1.64023 | + | 0.556462i | −0.946987 | + | 0.321273i | ||||
\(4\) | −4.75241 | + | 3.45283i | −2.37620 | + | 1.72641i | ||||
\(5\) | 1.12653 | + | 0.366031i | 0.503798 | + | 0.163694i | 0.549880 | − | 0.835244i | \(-0.314673\pi\) |
−0.0460817 | + | 0.998938i | \(0.514673\pi\) | |||||||
\(6\) | 2.90738 | + | 3.89488i | 1.18693 | + | 1.59008i | ||||
\(7\) | −1.16567 | − | 1.60441i | −0.440583 | − | 0.606410i | 0.529759 | − | 0.848148i | \(-0.322282\pi\) |
−0.970341 | + | 0.241738i | \(0.922282\pi\) | |||||||
\(8\) | 8.79543 | + | 6.39025i | 3.10965 | + | 2.25930i | ||||
\(9\) | 2.38070 | − | 1.82545i | 0.793567 | − | 0.608483i | ||||
\(10\) | − | 3.32385i | − | 1.05109i | ||||||
\(11\) | 3.07156 | + | 1.25120i | 0.926112 | + | 0.377250i | ||||
\(12\) | 5.87367 | − | 8.30796i | 1.69558 | − | 2.39830i | ||||
\(13\) | 0.951057 | − | 0.309017i | 0.263776 | − | 0.0857059i | ||||
\(14\) | −3.27101 | + | 4.50217i | −0.874215 | + | 1.20325i | ||||
\(15\) | −2.05144 | + | 0.0264947i | −0.529681 | + | 0.00684090i | ||||
\(16\) | 5.79679 | − | 17.8407i | 1.44920 | − | 4.46017i | ||||
\(17\) | 0.208239 | − | 0.640895i | 0.0505055 | − | 0.155440i | −0.922623 | − | 0.385703i | \(-0.873959\pi\) |
0.973128 | + | 0.230264i | \(0.0739588\pi\) | |||||||
\(18\) | −6.93611 | − | 4.77064i | −1.63486 | − | 1.12445i | ||||
\(19\) | −2.70134 | + | 3.71808i | −0.619730 | + | 0.852986i | −0.997333 | − | 0.0729820i | \(-0.976748\pi\) |
0.377603 | + | 0.925968i | \(0.376748\pi\) | |||||||
\(20\) | −6.61756 | + | 2.15018i | −1.47973 | + | 0.480794i | ||||
\(21\) | 2.80476 | + | 1.98295i | 0.612049 | + | 0.432715i | ||||
\(22\) | 0.675693 | − | 9.28228i | 0.144058 | − | 1.97899i | ||||
\(23\) | − | 3.03278i | − | 0.632377i | −0.948696 | − | 0.316189i | \(-0.897597\pi\) | ||
0.948696 | − | 0.316189i | \(-0.102403\pi\) | |||||||
\(24\) | −17.9824 | − | 5.58716i | −3.67065 | − | 1.14047i | ||||
\(25\) | −2.91000 | − | 2.11424i | −0.582000 | − | 0.422848i | ||||
\(26\) | −1.64940 | − | 2.27020i | −0.323473 | − | 0.445222i | ||||
\(27\) | −2.88910 | + | 4.31892i | −0.556008 | + | 0.831177i | ||||
\(28\) | 11.0795 | + | 3.59995i | 2.09383 | + | 0.680326i | ||||
\(29\) | 3.53233 | − | 2.56639i | 0.655937 | − | 0.476566i | −0.209351 | − | 0.977840i | \(-0.567135\pi\) |
0.865288 | + | 0.501274i | \(0.167135\pi\) | |||||||
\(30\) | 1.84959 | + | 5.45187i | 0.337688 | + | 0.995371i | ||||
\(31\) | −1.02308 | − | 3.14870i | −0.183750 | − | 0.565523i | 0.816175 | − | 0.577805i | \(-0.196091\pi\) |
−0.999925 | + | 0.0122815i | \(0.996091\pi\) | |||||||
\(32\) | −30.8960 | −5.46169 | ||||||||
\(33\) | −5.73431 | − | 0.343041i | −0.998215 | − | 0.0597157i | ||||
\(34\) | −1.89098 | −0.324300 | ||||||||
\(35\) | −0.725898 | − | 2.23408i | −0.122699 | − | 0.377629i | ||||
\(36\) | −5.01111 | + | 16.8954i | −0.835185 | + | 2.81591i | ||||
\(37\) | 9.07179 | − | 6.59104i | 1.49139 | − | 1.08356i | 0.517737 | − | 0.855540i | \(-0.326775\pi\) |
0.973656 | − | 0.228020i | \(-0.0732253\pi\) | |||||||
\(38\) | 12.2652 | + | 3.98519i | 1.98967 | + | 0.646483i | ||||
\(39\) | −1.38799 | + | 1.03608i | −0.222257 | + | 0.165906i | ||||
\(40\) | 7.56926 | + | 10.4182i | 1.19681 | + | 1.64726i | ||||
\(41\) | −1.37398 | − | 0.998255i | −0.214580 | − | 0.155901i | 0.475304 | − | 0.879822i | \(-0.342338\pi\) |
−0.689883 | + | 0.723921i | \(0.742338\pi\) | |||||||
\(42\) | 2.85993 | − | 9.20478i | 0.441297 | − | 1.42033i | ||||
\(43\) | − | 0.610070i | − | 0.0930348i | −0.998917 | − | 0.0465174i | \(-0.985188\pi\) | ||
0.998917 | − | 0.0465174i | \(-0.0148123\pi\) | |||||||
\(44\) | −18.9175 | + | 4.65939i | −2.85192 | + | 0.702429i | ||||
\(45\) | 3.35009 | − | 1.18501i | 0.499403 | − | 0.176650i | ||||
\(46\) | −8.09380 | + | 2.62984i | −1.19337 | + | 0.387748i | ||||
\(47\) | 7.17109 | − | 9.87015i | 1.04601 | − | 1.43971i | 0.153793 | − | 0.988103i | \(-0.450851\pi\) |
0.892217 | − | 0.451607i | \(-0.149149\pi\) | |||||||
\(48\) | 0.419593 | + | 32.4885i | 0.0605631 | + | 4.68931i | ||||
\(49\) | 0.947779 | − | 2.91696i | 0.135397 | − | 0.416709i | ||||
\(50\) | −3.11906 | + | 9.59948i | −0.441102 | + | 1.35757i | ||||
\(51\) | 0.0150731 | + | 1.16709i | 0.00211066 | + | 0.163425i | ||||
\(52\) | −3.45283 | + | 4.75241i | −0.478821 | + | 0.659041i | ||||
\(53\) | 6.81298 | − | 2.21367i | 0.935835 | − | 0.304071i | 0.198888 | − | 0.980022i | \(-0.436267\pi\) |
0.736946 | + | 0.675951i | \(0.236267\pi\) | |||||||
\(54\) | 14.0315 | + | 3.96527i | 1.90944 | + | 0.539605i | ||||
\(55\) | 3.00222 | + | 2.53379i | 0.404820 | + | 0.341657i | ||||
\(56\) | − | 21.5604i | − | 2.88113i | ||||||
\(57\) | 2.36185 | − | 7.60169i | 0.312835 | − | 1.00687i | ||||
\(58\) | −9.91213 | − | 7.20159i | −1.30153 | − | 0.945615i | ||||
\(59\) | 4.01022 | + | 5.51959i | 0.522086 | + | 0.718590i | 0.985899 | − | 0.167343i | \(-0.0535189\pi\) |
−0.463812 | + | 0.885933i | \(0.653519\pi\) | |||||||
\(60\) | 9.65782 | − | 7.20920i | 1.24682 | − | 0.930703i | ||||
\(61\) | 4.63218 | + | 1.50508i | 0.593089 | + | 0.192706i | 0.590156 | − | 0.807289i | \(-0.299066\pi\) |
0.00293339 | + | 0.999996i | \(0.499066\pi\) | |||||||
\(62\) | −7.51604 | + | 5.46072i | −0.954538 | + | 0.693512i | ||||
\(63\) | −5.70389 | − | 1.69175i | −0.718622 | − | 0.213140i | ||||
\(64\) | 15.1975 | + | 46.7731i | 1.89969 | + | 5.84663i | ||||
\(65\) | 1.18450 | 0.146919 | ||||||||
\(66\) | 4.05694 | + | 15.6011i | 0.499375 | + | 1.92036i | ||||
\(67\) | −8.07121 | −0.986055 | −0.493028 | − | 0.870014i | \(-0.664110\pi\) | ||||
−0.493028 | + | 0.870014i | \(0.664110\pi\) | |||||||
\(68\) | 1.22326 | + | 3.76481i | 0.148342 | + | 0.456550i | ||||
\(69\) | 1.68762 | + | 4.97445i | 0.203166 | + | 0.598853i | ||||
\(70\) | −5.33282 | + | 3.87452i | −0.637394 | + | 0.463094i | ||||
\(71\) | 2.24884 | + | 0.730693i | 0.266889 | + | 0.0867174i | 0.439404 | − | 0.898289i | \(-0.355190\pi\) |
−0.172516 | + | 0.985007i | \(0.555190\pi\) | |||||||
\(72\) | 32.6044 | − | 0.842320i | 3.84246 | − | 0.0992684i | ||||
\(73\) | −1.81099 | − | 2.49262i | −0.211960 | − | 0.291739i | 0.689778 | − | 0.724021i | \(-0.257708\pi\) |
−0.901738 | + | 0.432283i | \(0.857708\pi\) | |||||||
\(74\) | −25.4565 | − | 18.4952i | −2.95926 | − | 2.15003i | ||||
\(75\) | 5.94956 | + | 1.84853i | 0.686996 | + | 0.213450i | ||||
\(76\) | − | 26.9971i | − | 3.09678i | ||||||
\(77\) | −1.57301 | − | 6.38653i | −0.179261 | − | 0.727813i | ||||
\(78\) | 3.96866 | + | 2.80582i | 0.449363 | + | 0.317696i | ||||
\(79\) | −5.52280 | + | 1.79447i | −0.621363 | + | 0.201893i | −0.602746 | − | 0.797933i | \(-0.705927\pi\) |
−0.0186178 | + | 0.999827i | \(0.505927\pi\) | |||||||
\(80\) | 13.0605 | − | 17.9762i | 1.46021 | − | 2.00980i | ||||
\(81\) | 2.33548 | − | 8.69169i | 0.259497 | − | 0.965744i | ||||
\(82\) | −1.47269 | + | 4.53247i | −0.162631 | + | 0.500528i | ||||
\(83\) | 1.50773 | − | 4.64031i | 0.165495 | − | 0.509340i | −0.833578 | − | 0.552402i | \(-0.813711\pi\) |
0.999072 | + | 0.0430622i | \(0.0137114\pi\) | |||||||
\(84\) | −20.1762 | + | 0.260578i | −2.20140 | + | 0.0284314i | ||||
\(85\) | 0.469175 | − | 0.645763i | 0.0508891 | − | 0.0700429i | ||||
\(86\) | −1.62814 | + | 0.529015i | −0.175567 | + | 0.0570452i | ||||
\(87\) | −4.36573 | + | 6.17507i | −0.468056 | + | 0.662037i | ||||
\(88\) | 19.0203 | + | 30.6329i | 2.02757 | + | 3.26548i | ||||
\(89\) | 6.98846i | 0.740775i | 0.928877 | + | 0.370387i | \(0.120775\pi\) | ||||
−0.928877 | + | 0.370387i | \(0.879225\pi\) | |||||||
\(90\) | −6.06752 | − | 7.91309i | −0.639572 | − | 0.834113i | ||||
\(91\) | −1.60441 | − | 1.16567i | −0.168188 | − | 0.122196i | ||||
\(92\) | 10.4717 | + | 14.4130i | 1.09175 | + | 1.50266i | ||||
\(93\) | 3.43021 | + | 4.59529i | 0.355696 | + | 0.476509i | ||||
\(94\) | −32.5596 | − | 10.5792i | −3.35826 | − | 1.09117i | ||||
\(95\) | −4.40407 | + | 3.19974i | −0.451848 | + | 0.328287i | ||||
\(96\) | 50.6765 | − | 17.1924i | 5.17214 | − | 1.75469i | ||||
\(97\) | −2.07371 | − | 6.38223i | −0.210554 | − | 0.648017i | −0.999439 | − | 0.0334776i | \(-0.989342\pi\) |
0.788886 | − | 0.614540i | \(-0.210658\pi\) | |||||||
\(98\) | −8.60658 | −0.869396 | ||||||||
\(99\) | 9.59647 | − | 2.62826i | 0.964482 | − | 0.264150i | ||||
\(100\) | 21.1296 | 2.11296 | ||||||||
\(101\) | 2.57327 | + | 7.91972i | 0.256050 | + | 0.788041i | 0.993621 | + | 0.112772i | \(0.0359728\pi\) |
−0.737571 | + | 0.675270i | \(0.764027\pi\) | |||||||
\(102\) | 3.10164 | − | 1.05226i | 0.307108 | − | 0.104189i | ||||
\(103\) | 4.31896 | − | 3.13791i | 0.425560 | − | 0.309187i | −0.354311 | − | 0.935128i | \(-0.615285\pi\) |
0.779871 | + | 0.625940i | \(0.215285\pi\) | |||||||
\(104\) | 10.3396 | + | 3.35956i | 1.01389 | + | 0.329432i | ||||
\(105\) | 2.43382 | + | 3.26047i | 0.237517 | + | 0.318190i | ||||
\(106\) | −11.8156 | − | 16.2628i | −1.14763 | − | 1.57958i | ||||
\(107\) | 0.213411 | + | 0.155052i | 0.0206313 | + | 0.0149895i | 0.598053 | − | 0.801456i | \(-0.295941\pi\) |
−0.577422 | + | 0.816446i | \(0.695941\pi\) | |||||||
\(108\) | −1.18229 | − | 30.5009i | −0.113766 | − | 2.93495i | ||||
\(109\) | − | 16.4347i | − | 1.57416i | −0.616850 | − | 0.787081i | \(-0.711591\pi\) | ||
0.616850 | − | 0.787081i | \(-0.288409\pi\) | |||||||
\(110\) | 4.15879 | − | 10.2094i | 0.396525 | − | 0.973430i | ||||
\(111\) | −11.2121 | + | 15.8589i | −1.06421 | + | 1.50526i | ||||
\(112\) | −35.3810 | + | 11.4960i | −3.34319 | + | 1.08627i | ||||
\(113\) | 3.41143 | − | 4.69543i | 0.320920 | − | 0.441709i | −0.617828 | − | 0.786313i | \(-0.711987\pi\) |
0.938748 | + | 0.344605i | \(0.111987\pi\) | |||||||
\(114\) | −22.3353 | + | 0.288463i | −2.09189 | + | 0.0270170i | ||||
\(115\) | 1.11009 | − | 3.41650i | 0.103516 | − | 0.318591i | ||||
\(116\) | −7.92578 | + | 24.3930i | −0.735890 | + | 2.26484i | ||||
\(117\) | 1.70009 | − | 2.47178i | 0.157173 | − | 0.228516i | ||||
\(118\) | 11.2532 | − | 15.4886i | 1.03594 | − | 1.42584i | ||||
\(119\) | −1.27100 | + | 0.412972i | −0.116512 | + | 0.0378571i | ||||
\(120\) | −18.2126 | − | 12.8762i | −1.66258 | − | 1.17543i | ||||
\(121\) | 7.86902 | + | 7.68626i | 0.715365 | + | 0.698751i | ||||
\(122\) | − | 13.6674i | − | 1.23738i | ||||||
\(123\) | 2.80913 | + | 0.872800i | 0.253291 | + | 0.0786977i | ||||
\(124\) | 15.7340 | + | 11.4314i | 1.41295 | + | 1.02657i | ||||
\(125\) | −5.98548 | − | 8.23830i | −0.535357 | − | 0.736856i | ||||
\(126\) | 0.431163 | + | 16.6894i | 0.0384111 | + | 1.48681i | ||||
\(127\) | 10.4290 | + | 3.38858i | 0.925422 | + | 0.300688i | 0.732689 | − | 0.680563i | \(-0.238265\pi\) |
0.192733 | + | 0.981251i | \(0.438265\pi\) | |||||||
\(128\) | 61.6578 | − | 44.7970i | 5.44983 | − | 3.95954i | ||||
\(129\) | 0.339481 | + | 1.00065i | 0.0298896 | + | 0.0881027i | ||||
\(130\) | −1.02713 | − | 3.16117i | −0.0900849 | − | 0.277253i | ||||
\(131\) | −15.0205 | −1.31235 | −0.656175 | − | 0.754609i | \(-0.727827\pi\) | ||||
−0.656175 | + | 0.754609i | \(0.727827\pi\) | |||||||
\(132\) | 28.4363 | − | 18.1693i | 2.47506 | − | 1.58144i | ||||
\(133\) | 9.11420 | 0.790302 | ||||||||
\(134\) | 6.99886 | + | 21.5403i | 0.604609 | + | 1.86080i | ||||
\(135\) | −4.83551 | + | 3.80788i | −0.416175 | + | 0.327730i | ||||
\(136\) | 5.92704 | − | 4.30624i | 0.508239 | − | 0.369257i | ||||
\(137\) | 4.40232 | + | 1.43040i | 0.376115 | + | 0.122207i | 0.490973 | − | 0.871175i | \(-0.336641\pi\) |
−0.114858 | + | 0.993382i | \(0.536641\pi\) | |||||||
\(138\) | 11.8123 | − | 8.81742i | 1.00553 | − | 0.750589i | ||||
\(139\) | 0.201376 | + | 0.277171i | 0.0170805 | + | 0.0235093i | 0.817472 | − | 0.575969i | \(-0.195375\pi\) |
−0.800391 | + | 0.599478i | \(0.795375\pi\) | |||||||
\(140\) | 11.1637 | + | 8.11088i | 0.943502 | + | 0.685495i | ||||
\(141\) | −6.26986 | + | 20.1797i | −0.528018 | + | 1.69944i | ||||
\(142\) | − | 6.63527i | − | 0.556820i | ||||||
\(143\) | 3.30787 | + | 0.240793i | 0.276618 | + | 0.0201361i | ||||
\(144\) | −18.7668 | − | 53.0551i | −1.56390 | − | 4.42126i | ||||
\(145\) | 4.91864 | − | 1.59816i | 0.408471 | − | 0.132720i | ||||
\(146\) | −5.08186 | + | 6.99457i | −0.420577 | + | 0.578875i | ||||
\(147\) | 0.0686037 | + | 5.31189i | 0.00565834 | + | 0.438117i | ||||
\(148\) | −20.3551 | + | 62.6467i | −1.67318 | + | 5.14952i | ||||
\(149\) | −3.15665 | + | 9.71517i | −0.258603 | + | 0.795898i | 0.734496 | + | 0.678614i | \(0.237419\pi\) |
−0.993098 | + | 0.117284i | \(0.962581\pi\) | |||||||
\(150\) | −0.225769 | − | 17.4810i | −0.0184340 | − | 1.42732i | ||||
\(151\) | −11.1303 | + | 15.3195i | −0.905768 | + | 1.24668i | 0.0628238 | + | 0.998025i | \(0.479989\pi\) |
−0.968591 | + | 0.248658i | \(0.920011\pi\) | |||||||
\(152\) | −47.5189 | + | 15.4398i | −3.85429 | + | 1.25234i | ||||
\(153\) | −0.674165 | − | 1.90591i | −0.0545030 | − | 0.154084i | ||||
\(154\) | −15.6802 | + | 9.73601i | −1.26355 | + | 0.784550i | ||||
\(155\) | − | 3.92157i | − | 0.314988i | ||||||
\(156\) | 3.01889 | − | 9.71641i | 0.241705 | − | 0.777935i | ||||
\(157\) | 4.93237 | + | 3.58358i | 0.393646 | + | 0.286001i | 0.766948 | − | 0.641709i | \(-0.221774\pi\) |
−0.373302 | + | 0.927710i | \(0.621774\pi\) | |||||||
\(158\) | 9.57806 | + | 13.1831i | 0.761990 | + | 1.04879i | ||||
\(159\) | −9.94302 | + | 7.42209i | −0.788533 | + | 0.588610i | ||||
\(160\) | −34.8051 | − | 11.3089i | −2.75159 | − | 0.894045i | ||||
\(161\) | −4.86582 | + | 3.53522i | −0.383480 | + | 0.278615i | ||||
\(162\) | −25.2214 | + | 1.30404i | −1.98158 | + | 0.102455i | ||||
\(163\) | −1.12710 | − | 3.46884i | −0.0882809 | − | 0.271701i | 0.897164 | − | 0.441699i | \(-0.145624\pi\) |
−0.985444 | + | 0.169998i | \(0.945624\pi\) | |||||||
\(164\) | 9.97652 | 0.779035 | ||||||||
\(165\) | −6.33429 | − | 2.48538i | −0.493124 | − | 0.193486i | ||||
\(166\) | −13.6914 | −1.06266 | ||||||||
\(167\) | 6.12638 | + | 18.8551i | 0.474074 | + | 1.45905i | 0.847203 | + | 0.531269i | \(0.178285\pi\) |
−0.373129 | + | 0.927779i | \(0.621715\pi\) | |||||||
\(168\) | 11.9975 | + | 35.3640i | 0.925631 | + | 2.72839i | ||||
\(169\) | 0.809017 | − | 0.587785i | 0.0622321 | − | 0.0452143i | ||||
\(170\) | −2.13024 | − | 0.692156i | −0.163382 | − | 0.0530860i | ||||
\(171\) | 0.356073 | + | 13.7828i | 0.0272296 | + | 1.05400i | ||||
\(172\) | 2.10647 | + | 2.89930i | 0.160617 | + | 0.221070i | ||||
\(173\) | 13.0717 | + | 9.49713i | 0.993821 | + | 0.722053i | 0.960755 | − | 0.277400i | \(-0.0894726\pi\) |
0.0330666 | + | 0.999453i | \(0.489473\pi\) | |||||||
\(174\) | 20.2656 | + | 6.29653i | 1.53633 | + | 0.477339i | ||||
\(175\) | 7.13334i | 0.539230i | ||||||||
\(176\) | 40.1274 | − | 47.5459i | 3.02472 | − | 3.58391i | ||||
\(177\) | −9.64912 | − | 6.82186i | −0.725272 | − | 0.512763i | ||||
\(178\) | 18.6506 | − | 6.05996i | 1.39792 | − | 0.454213i | ||||
\(179\) | 2.43105 | − | 3.34605i | 0.181705 | − | 0.250096i | −0.708442 | − | 0.705769i | \(-0.750602\pi\) |
0.890147 | + | 0.455674i | \(0.150602\pi\) | |||||||
\(180\) | −11.8294 | + | 17.1989i | −0.881711 | + | 1.28193i | ||||
\(181\) | −3.66674 | + | 11.2851i | −0.272546 | + | 0.838811i | 0.717312 | + | 0.696752i | \(0.245372\pi\) |
−0.989858 | + | 0.142059i | \(0.954628\pi\) | |||||||
\(182\) | −1.71967 | + | 5.29261i | −0.127471 | + | 0.392315i | ||||
\(183\) | −8.43535 | + | 0.108944i | −0.623559 | + | 0.00805335i | ||||
\(184\) | 19.3802 | − | 26.6746i | 1.42873 | − | 1.96647i | ||||
\(185\) | 12.6321 | − | 4.10443i | 0.928733 | − | 0.301764i | ||||
\(186\) | 9.28934 | − | 13.1392i | 0.681127 | − | 0.963414i | ||||
\(187\) | 1.44151 | − | 1.70800i | 0.105413 | − | 0.124901i | ||||
\(188\) | 71.6675i | 5.22689i | ||||||||
\(189\) | 10.2971 | − | 0.399142i | 0.749002 | − | 0.0290333i | ||||
\(190\) | 12.3583 | + | 8.97885i | 0.896568 | + | 0.651394i | ||||
\(191\) | −1.72251 | − | 2.37083i | −0.124636 | − | 0.171547i | 0.742139 | − | 0.670246i | \(-0.233811\pi\) |
−0.866775 | + | 0.498699i | \(0.833811\pi\) | |||||||
\(192\) | −50.9548 | − | 68.2617i | −3.67734 | − | 4.92636i | ||||
\(193\) | 10.1218 | + | 3.28878i | 0.728584 | + | 0.236731i | 0.649741 | − | 0.760156i | \(-0.274877\pi\) |
0.0788433 | + | 0.996887i | \(0.474877\pi\) | |||||||
\(194\) | −15.2346 | + | 11.0686i | −1.09378 | + | 0.794676i | ||||
\(195\) | −1.94285 | + | 0.659129i | −0.139131 | + | 0.0472012i | ||||
\(196\) | 5.56754 | + | 17.1351i | 0.397681 | + | 1.22394i | ||||
\(197\) | −5.59541 | −0.398657 | −0.199328 | − | 0.979933i | \(-0.563876\pi\) | ||||
−0.199328 | + | 0.979933i | \(0.563876\pi\) | |||||||
\(198\) | −15.3357 | − | 23.3318i | −1.08986 | − | 1.65812i | ||||
\(199\) | −11.3871 | −0.807209 | −0.403605 | − | 0.914934i | \(-0.632243\pi\) | ||||
−0.403605 | + | 0.914934i | \(0.632243\pi\) | |||||||
\(200\) | −12.0842 | − | 37.1913i | −0.854481 | − | 2.62982i | ||||
\(201\) | 13.2386 | − | 4.49132i | 0.933781 | − | 0.316793i | ||||
\(202\) | 18.9046 | − | 13.7350i | 1.33012 | − | 0.966390i | ||||
\(203\) | −8.23508 | − | 2.67574i | −0.577989 | − | 0.187800i | ||||
\(204\) | −4.10140 | − | 5.49445i | −0.287155 | − | 0.384689i | ||||
\(205\) | −1.18243 | − | 1.62748i | −0.0825848 | − | 0.113668i | ||||
\(206\) | −12.1195 | − | 8.80535i | −0.844407 | − | 0.613498i | ||||
\(207\) | −5.53617 | − | 7.22013i | −0.384791 | − | 0.501834i | ||||
\(208\) | − | 18.7588i | − | 1.30069i | ||||||
\(209\) | −12.9494 | + | 8.04041i | −0.895728 | + | 0.556167i | ||||
\(210\) | 6.59102 | − | 9.32261i | 0.454824 | − | 0.643321i | ||||
\(211\) | 16.1720 | − | 5.25461i | 1.11333 | − | 0.361742i | 0.306111 | − | 0.951996i | \(-0.400972\pi\) |
0.807218 | + | 0.590254i | \(0.200972\pi\) | |||||||
\(212\) | −24.7346 | + | 34.0443i | −1.69878 | + | 2.33817i | ||||
\(213\) | −4.09522 | + | 0.0528903i | −0.280600 | + | 0.00362398i | ||||
\(214\) | 0.228743 | − | 0.703999i | 0.0156366 | − | 0.0481244i | ||||
\(215\) | 0.223305 | − | 0.687261i | 0.0152292 | − | 0.0468708i | ||||
\(216\) | −53.0099 | + | 19.5247i | −3.60687 | + | 1.32849i | ||||
\(217\) | −3.85924 | + | 5.31179i | −0.261982 | + | 0.360588i | ||||
\(218\) | −43.8606 | + | 14.2512i | −2.97062 | + | 0.965212i | ||||
\(219\) | 4.35748 | + | 3.08071i | 0.294451 | + | 0.208175i | ||||
\(220\) | −23.0166 | − | 1.67546i | −1.55178 | − | 0.112960i | ||||
\(221\) | − | 0.673877i | − | 0.0453299i | ||||||
\(222\) | 52.0464 | + | 16.1709i | 3.49313 | + | 1.08532i | ||||
\(223\) | −19.9792 | − | 14.5157i | −1.33791 | − | 0.972046i | −0.999518 | − | 0.0310394i | \(-0.990118\pi\) |
−0.338388 | − | 0.941007i | \(-0.609882\pi\) | |||||||
\(224\) | 36.0146 | + | 49.5698i | 2.40632 | + | 3.31202i | ||||
\(225\) | −10.7873 | + | 0.278685i | −0.719152 | + | 0.0185790i | ||||
\(226\) | −15.4892 | − | 5.03276i | −1.03033 | − | 0.334774i | ||||
\(227\) | 9.57947 | − | 6.95989i | 0.635812 | − | 0.461944i | −0.222597 | − | 0.974911i | \(-0.571453\pi\) |
0.858409 | + | 0.512966i | \(0.171453\pi\) | |||||||
\(228\) | 15.0228 | + | 44.2814i | 0.994912 | + | 2.93261i | ||||
\(229\) | −3.31259 | − | 10.1951i | −0.218902 | − | 0.673712i | −0.998853 | − | 0.0478717i | \(-0.984756\pi\) |
0.779951 | − | 0.625840i | \(-0.215244\pi\) | |||||||
\(230\) | −10.0805 | −0.664688 | ||||||||
\(231\) | 6.13395 | + | 9.60006i | 0.403584 | + | 0.631638i | ||||
\(232\) | 47.4682 | 3.11644 | ||||||||
\(233\) | −7.84150 | − | 24.1337i | −0.513714 | − | 1.58105i | −0.785610 | − | 0.618722i | \(-0.787651\pi\) |
0.271897 | − | 0.962326i | \(-0.412349\pi\) | |||||||
\(234\) | −8.07085 | − | 2.39378i | −0.527608 | − | 0.156486i | ||||
\(235\) | 11.6912 | − | 8.49416i | 0.762650 | − | 0.554098i | ||||
\(236\) | −38.1164 | − | 12.3848i | −2.48117 | − | 0.806180i | ||||
\(237\) | 8.06010 | − | 6.01656i | 0.523560 | − | 0.390818i | ||||
\(238\) | 2.20426 | + | 3.03390i | 0.142881 | + | 0.196659i | ||||
\(239\) | 12.9068 | + | 9.37736i | 0.834874 | + | 0.606571i | 0.920934 | − | 0.389719i | \(-0.127428\pi\) |
−0.0860603 | + | 0.996290i | \(0.527428\pi\) | |||||||
\(240\) | −11.4191 | + | 36.7528i | −0.737101 | + | 2.37238i | ||||
\(241\) | 18.4314i | 1.18727i | 0.804735 | + | 0.593634i | \(0.202307\pi\) | ||||
−0.804735 | + | 0.593634i | \(0.797693\pi\) | |||||||
\(242\) | 13.6894 | − | 27.6657i | 0.879987 | − | 1.77842i | ||||
\(243\) | 1.00588 | + | 15.5560i | 0.0645272 | + | 0.997916i | ||||
\(244\) | −27.2108 | + | 8.84132i | −1.74199 | + | 0.566008i | ||||
\(245\) | 2.13540 | − | 2.93912i | 0.136425 | − | 0.187774i | ||||
\(246\) | −0.106599 | − | 8.25379i | −0.00679649 | − | 0.526242i | ||||
\(247\) | −1.42018 | + | 4.37086i | −0.0903639 | + | 0.278111i | ||||
\(248\) | 11.1226 | − | 34.2319i | 0.706287 | − | 2.17373i | ||||
\(249\) | 0.109135 | + | 8.45016i | 0.00691614 | + | 0.535507i | ||||
\(250\) | −16.7960 | + | 23.1177i | −1.06227 | + | 1.46209i | ||||
\(251\) | 7.20681 | − | 2.34163i | 0.454890 | − | 0.147803i | −0.0726054 | − | 0.997361i | \(-0.523131\pi\) |
0.527495 | + | 0.849558i | \(0.323131\pi\) | |||||||
\(252\) | 32.9485 | − | 11.6547i | 2.07556 | − | 0.734175i | ||||
\(253\) | 3.79460 | − | 9.31536i | 0.238564 | − | 0.585652i | ||||
\(254\) | − | 30.7710i | − | 1.93074i | ||||||
\(255\) | −0.410211 | + | 1.32028i | −0.0256884 | + | 0.0826790i | ||||
\(256\) | −93.4441 | − | 67.8911i | −5.84026 | − | 4.24320i | ||||
\(257\) | −2.24172 | − | 3.08546i | −0.139835 | − | 0.192466i | 0.733356 | − | 0.679845i | \(-0.237953\pi\) |
−0.873190 | + | 0.487379i | \(0.837953\pi\) | |||||||
\(258\) | 2.37615 | − | 1.77370i | 0.147933 | − | 0.110426i | ||||
\(259\) | −21.1495 | − | 6.87188i | −1.31416 | − | 0.426998i | ||||
\(260\) | −5.62923 | + | 4.08988i | −0.349110 | + | 0.253643i | ||||
\(261\) | 3.72461 | − | 12.5579i | 0.230548 | − | 0.777314i | ||||
\(262\) | 13.0249 | + | 40.0864i | 0.804679 | + | 2.47655i | ||||
\(263\) | −7.38026 | −0.455086 | −0.227543 | − | 0.973768i | \(-0.573069\pi\) | ||||
−0.227543 | + | 0.973768i | \(0.573069\pi\) | |||||||
\(264\) | −48.2436 | − | 39.6609i | −2.96919 | − | 2.44096i | ||||
\(265\) | 8.48528 | 0.521246 | ||||||||
\(266\) | −7.90327 | − | 24.3238i | −0.484581 | − | 1.49139i | ||||
\(267\) | −3.88881 | − | 11.4627i | −0.237991 | − | 0.701504i | ||||
\(268\) | 38.3577 | − | 27.8685i | 2.34307 | − | 1.70234i | ||||
\(269\) | −0.285834 | − | 0.0928730i | −0.0174276 | − | 0.00566257i | 0.300290 | − | 0.953848i | \(-0.402916\pi\) |
−0.317718 | + | 0.948185i | \(0.602916\pi\) | |||||||
\(270\) | 14.3554 | + | 9.60294i | 0.873645 | + | 0.584416i | ||||
\(271\) | −5.79405 | − | 7.97482i | −0.351963 | − | 0.484436i | 0.595924 | − | 0.803041i | \(-0.296786\pi\) |
−0.947888 | + | 0.318605i | \(0.896786\pi\) | |||||||
\(272\) | −10.2269 | − | 7.43027i | −0.620096 | − | 0.450526i | ||||
\(273\) | 3.28025 | + | 1.01918i | 0.198530 | + | 0.0616834i | ||||
\(274\) | − | 12.9892i | − | 0.784704i | ||||||
\(275\) | −6.29293 | − | 10.1350i | −0.379478 | − | 0.611164i | ||||
\(276\) | −25.1962 | − | 17.8135i | −1.51663 | − | 1.07225i | ||||
\(277\) | 10.7258 | − | 3.48503i | 0.644451 | − | 0.209395i | 0.0314853 | − | 0.999504i | \(-0.489976\pi\) |
0.612966 | + | 0.790109i | \(0.289976\pi\) | |||||||
\(278\) | 0.565086 | − | 0.777774i | 0.0338916 | − | 0.0466478i | ||||
\(279\) | −8.18343 | − | 5.62855i | −0.489929 | − | 0.336972i | ||||
\(280\) | 7.89178 | − | 24.2884i | 0.471624 | − | 1.45151i | ||||
\(281\) | 4.12427 | − | 12.6932i | 0.246033 | − | 0.757213i | −0.749431 | − | 0.662082i | \(-0.769673\pi\) |
0.995465 | − | 0.0951309i | \(-0.0303270\pi\) | |||||||
\(282\) | 59.2921 | − | 0.765765i | 3.53079 | − | 0.0456006i | ||||
\(283\) | −6.78591 | + | 9.34001i | −0.403381 | + | 0.555206i | −0.961588 | − | 0.274495i | \(-0.911489\pi\) |
0.558208 | + | 0.829701i | \(0.311489\pi\) | |||||||
\(284\) | −13.2104 | + | 4.29231i | −0.783892 | + | 0.254702i | ||||
\(285\) | 5.44314 | − | 7.69900i | 0.322424 | − | 0.456049i | ||||
\(286\) | −2.22576 | − | 9.03678i | −0.131612 | − | 0.534356i | ||||
\(287\) | 3.36807i | 0.198811i | ||||||||
\(288\) | −73.5541 | + | 56.3990i | −4.33421 | + | 3.32334i | ||||
\(289\) | 13.3859 | + | 9.72543i | 0.787406 | + | 0.572084i | ||||
\(290\) | −8.53028 | − | 11.7409i | −0.500916 | − | 0.689451i | ||||
\(291\) | 6.95283 | + | 9.31438i | 0.407582 | + | 0.546018i | ||||
\(292\) | 17.2131 | + | 5.59289i | 1.00732 | + | 0.327299i | ||||
\(293\) | −24.2776 | + | 17.6387i | −1.41832 | + | 1.03047i | −0.426268 | + | 0.904597i | \(0.640172\pi\) |
−0.992047 | + | 0.125869i | \(0.959828\pi\) | |||||||
\(294\) | 14.1168 | − | 4.78923i | 0.823306 | − | 0.279314i | ||||
\(295\) | 2.49728 | + | 7.68584i | 0.145397 | + | 0.447487i | ||||
\(296\) | 121.909 | 7.08580 | ||||||||
\(297\) | −14.2779 | + | 9.65101i | −0.828487 | + | 0.560009i | ||||
\(298\) | 28.6649 | 1.66051 | ||||||||
\(299\) | −0.937179 | − | 2.88434i | −0.0541985 | − | 0.166806i | ||||
\(300\) | −34.6574 | + | 11.7578i | −2.00095 | + | 0.678838i | ||||
\(301\) | −0.978803 | + | 0.711142i | −0.0564173 | + | 0.0409895i | ||||
\(302\) | 50.5358 | + | 16.4201i | 2.90801 | + | 0.944869i | ||||
\(303\) | −8.62777 | − | 11.5582i | −0.495653 | − | 0.664003i | ||||
\(304\) | 50.6740 | + | 69.7467i | 2.90635 | + | 4.00025i | ||||
\(305\) | 4.66736 | + | 3.39104i | 0.267252 | + | 0.194170i | ||||
\(306\) | −4.50185 | + | 3.45188i | −0.257354 | + | 0.197331i | ||||
\(307\) | − | 26.8996i | − | 1.53524i | −0.640904 | − | 0.767621i | \(-0.721440\pi\) | ||
0.640904 | − | 0.767621i | \(-0.278560\pi\) | |||||||
\(308\) | 29.5272 | + | 24.9201i | 1.68247 | + | 1.41996i | ||||
\(309\) | −5.33796 | + | 7.55023i | −0.303666 | + | 0.429517i | ||||
\(310\) | −10.4658 | + | 3.40055i | −0.594418 | + | 0.193138i | ||||
\(311\) | 13.7189 | − | 18.8825i | 0.777928 | − | 1.07073i | −0.217580 | − | 0.976043i | \(-0.569816\pi\) |
0.995507 | − | 0.0946832i | \(-0.0301838\pi\) | |||||||
\(312\) | −18.8289 | + | 0.243177i | −1.06597 | + | 0.0137672i | ||||
\(313\) | −8.55847 | + | 26.3403i | −0.483753 | + | 1.48884i | 0.350025 | + | 0.936740i | \(0.386173\pi\) |
−0.833779 | + | 0.552099i | \(0.813827\pi\) | |||||||
\(314\) | 5.28672 | − | 16.2709i | 0.298347 | − | 0.918218i | ||||
\(315\) | −5.80635 | − | 3.99360i | −0.327151 | − | 0.225014i | ||||
\(316\) | 20.0506 | − | 27.5973i | 1.12794 | − | 1.55247i | ||||
\(317\) | 17.2115 | − | 5.59237i | 0.966696 | − | 0.314099i | 0.217215 | − | 0.976124i | \(-0.430303\pi\) |
0.749482 | + | 0.662025i | \(0.230303\pi\) | |||||||
\(318\) | 28.4299 | + | 20.0997i | 1.59427 | + | 1.12714i | ||||
\(319\) | 14.0608 | − | 3.46319i | 0.787255 | − | 0.193901i | ||||
\(320\) | 58.2539i | 3.25649i | ||||||||
\(321\) | −0.436324 | − | 0.135566i | −0.0243532 | − | 0.00756657i | ||||
\(322\) | 13.6541 | + | 9.92025i | 0.760911 | + | 0.552834i | ||||
\(323\) | 1.82037 | + | 2.50553i | 0.101288 | + | 0.139411i | ||||
\(324\) | 18.9118 | + | 49.3705i | 1.05065 | + | 2.74280i | ||||
\(325\) | −3.42091 | − | 1.11152i | −0.189758 | − | 0.0616561i | ||||
\(326\) | −8.28022 | + | 6.01593i | −0.458599 | + | 0.333192i | ||||
\(327\) | 9.14529 | + | 26.9567i | 0.505736 | + | 1.49071i | ||||
\(328\) | −5.70564 | − | 17.5602i | −0.315041 | − | 0.969598i | ||||
\(329\) | −24.1949 | −1.33391 | ||||||||
\(330\) | −1.14022 | + | 19.0600i | −0.0627668 | + | 1.04922i | ||||
\(331\) | −20.1870 | −1.10958 | −0.554789 | − | 0.831991i | \(-0.687201\pi\) | ||||
−0.554789 | + | 0.831991i | \(0.687201\pi\) | |||||||
\(332\) | 8.85684 | + | 27.2586i | 0.486082 | + | 1.49601i | ||||
\(333\) | 9.56561 | − | 32.2514i | 0.524192 | − | 1.76736i | ||||
\(334\) | 45.0075 | − | 32.6999i | 2.46270 | − | 1.78926i | ||||
\(335\) | −9.09244 | − | 2.95431i | −0.496773 | − | 0.161411i | ||||
\(336\) | 51.6358 | − | 38.5442i | 2.81696 | − | 2.10276i | ||||
\(337\) | −9.54900 | − | 13.1431i | −0.520167 | − | 0.715948i | 0.465425 | − | 0.885087i | \(-0.345901\pi\) |
−0.985592 | + | 0.169139i | \(0.945901\pi\) | |||||||
\(338\) | −2.27020 | − | 1.64940i | −0.123482 | − | 0.0897153i | ||||
\(339\) | −2.98270 | + | 9.59990i | −0.161998 | + | 0.521395i | ||||
\(340\) | 4.68891i | 0.254292i | ||||||||
\(341\) | 0.797202 | − | 10.9515i | 0.0431709 | − | 0.593057i | ||||
\(342\) | 36.4744 | − | 12.9019i | 1.97231 | − | 0.697653i | ||||
\(343\) | −18.9875 | + | 6.16941i | −1.02523 | + | 0.333117i | ||||
\(344\) | 3.89850 | − | 5.36583i | 0.210193 | − | 0.289306i | ||||
\(345\) | 0.0803524 | + | 6.22157i | 0.00432603 | + | 0.334958i | ||||
\(346\) | 14.0108 | − | 43.1207i | 0.753224 | − | 2.31818i | ||||
\(347\) | −9.39368 | + | 28.9108i | −0.504279 | + | 1.55201i | 0.297700 | + | 0.954659i | \(0.403780\pi\) |
−0.801979 | + | 0.597352i | \(0.796220\pi\) | |||||||
\(348\) | −0.573698 | − | 44.4206i | −0.0307534 | − | 2.38119i | ||||
\(349\) | −9.41728 | + | 12.9618i | −0.504095 | + | 0.693828i | −0.982910 | − | 0.184088i | \(-0.941067\pi\) |
0.478814 | + | 0.877916i | \(0.341067\pi\) | |||||||
\(350\) | 19.0373 | − | 6.18560i | 1.01759 | − | 0.330634i | ||||
\(351\) | −1.41308 | + | 5.00032i | −0.0754246 | + | 0.266897i | ||||
\(352\) | −94.8989 | − | 38.6569i | −5.05813 | − | 2.06042i | ||||
\(353\) | 30.9347i | 1.64649i | 0.567686 | + | 0.823245i | \(0.307839\pi\) | ||||
−0.567686 | + | 0.823245i | \(0.692161\pi\) | |||||||
\(354\) | −9.83892 | + | 31.6669i | −0.522932 | + | 1.68307i | ||||
\(355\) | 2.26593 | + | 1.64629i | 0.120263 | + | 0.0873761i | ||||
\(356\) | −24.1299 | − | 33.2120i | −1.27888 | − | 1.76023i | ||||
\(357\) | 1.85492 | − | 1.38463i | 0.0981729 | − | 0.0732824i | ||||
\(358\) | −11.0379 | − | 3.58644i | −0.583372 | − | 0.189549i | ||||
\(359\) | 0.0796687 | − | 0.0578827i | 0.00420476 | − | 0.00305493i | −0.585681 | − | 0.810542i | \(-0.699173\pi\) |
0.589886 | + | 0.807487i | \(0.299173\pi\) | |||||||
\(360\) | 37.0380 | + | 10.9853i | 1.95208 | + | 0.578977i | ||||
\(361\) | −0.655534 | − | 2.01752i | −0.0345018 | − | 0.106186i | ||||
\(362\) | 33.2969 | 1.75004 | ||||||||
\(363\) | −17.1841 | − | 8.22842i | −0.901931 | − | 0.431880i | ||||
\(364\) | 11.6497 | 0.610609 | ||||||||
\(365\) | −1.12776 | − | 3.47088i | −0.0590295 | − | 0.181674i | ||||
\(366\) | 7.60536 | + | 22.4176i | 0.397539 | + | 1.17179i | ||||
\(367\) | −6.24492 | + | 4.53720i | −0.325982 | + | 0.236840i | −0.738724 | − | 0.674008i | \(-0.764571\pi\) |
0.412742 | + | 0.910848i | \(0.364571\pi\) | |||||||
\(368\) | −54.1068 | − | 17.5804i | −2.82051 | − | 0.916440i | ||||
\(369\) | −5.09330 | + | 0.131583i | −0.265147 | + | 0.00684995i | ||||
\(370\) | −21.9076 | − | 30.1533i | −1.13892 | − | 1.56759i | ||||
\(371\) | −11.4933 | − | 8.35040i | −0.596704 | − | 0.433531i | ||||
\(372\) | −32.1685 | − | 9.99478i | −1.66786 | − | 0.518205i | ||||
\(373\) | 0.280713i | 0.0145348i | 0.999974 | + | 0.00726739i | \(0.00231330\pi\) | ||||
−0.999974 | + | 0.00726739i | \(0.997687\pi\) | |||||||
\(374\) | −5.80826 | − | 2.36598i | −0.300338 | − | 0.122342i | ||||
\(375\) | 14.4019 | + | 10.1820i | 0.743708 | + | 0.525797i | ||||
\(376\) | 126.146 | − | 40.9872i | 6.50546 | − | 2.11375i | ||||
\(377\) | 2.56639 | − | 3.53233i | 0.132176 | − | 0.181924i | ||||
\(378\) | −9.99420 | − | 27.1345i | −0.514046 | − | 1.39565i | ||||
\(379\) | 3.75236 | − | 11.5486i | 0.192746 | − | 0.593211i | −0.807250 | − | 0.590210i | \(-0.799045\pi\) |
0.999995 | − | 0.00300084i | \(-0.000955199\pi\) | |||||||
\(380\) | 9.88177 | − | 30.4130i | 0.506924 | − | 1.56015i | ||||
\(381\) | −18.9915 | + | 0.245278i | −0.972965 | + | 0.0125660i | ||||
\(382\) | −4.83356 | + | 6.65283i | −0.247307 | + | 0.340388i | ||||
\(383\) | 18.9733 | − | 6.16480i | 0.969491 | − | 0.315007i | 0.218880 | − | 0.975752i | \(-0.429760\pi\) |
0.750610 | + | 0.660745i | \(0.229760\pi\) | |||||||
\(384\) | −76.2051 | + | 107.788i | −3.88883 | + | 5.50051i | ||||
\(385\) | 0.565635 | − | 7.77037i | 0.0288274 | − | 0.396015i | ||||
\(386\) | − | 29.8647i | − | 1.52007i | ||||||
\(387\) | −1.11365 | − | 1.45240i | −0.0566101 | − | 0.0738294i | ||||
\(388\) | 31.8919 | + | 23.1708i | 1.61906 | + | 1.17632i | ||||
\(389\) | 12.4219 | + | 17.0973i | 0.629818 | + | 0.866870i | 0.998021 | − | 0.0628756i | \(-0.0200271\pi\) |
−0.368204 | + | 0.929745i | \(0.620027\pi\) | |||||||
\(390\) | 3.44379 | + | 4.61348i | 0.174383 | + | 0.233613i | ||||
\(391\) | −1.94369 | − | 0.631543i | −0.0982966 | − | 0.0319385i | ||||
\(392\) | 26.9763 | − | 19.5994i | 1.36251 | − | 0.989919i | ||||
\(393\) | 24.6371 | − | 8.35834i | 1.24278 | − | 0.421623i | ||||
\(394\) | 4.85200 | + | 14.9329i | 0.244440 | + | 0.752309i | ||||
\(395\) | −6.87841 | −0.346090 | ||||||||
\(396\) | −36.5314 | + | 45.6255i | −1.83577 | + | 2.29277i | ||||
\(397\) | −34.2780 | −1.72036 | −0.860181 | − | 0.509989i | \(-0.829650\pi\) | ||||
−0.860181 | + | 0.509989i | \(0.829650\pi\) | |||||||
\(398\) | 9.87418 | + | 30.3896i | 0.494948 | + | 1.52329i | ||||
\(399\) | −14.9494 | + | 5.07170i | −0.748405 | + | 0.253903i | ||||
\(400\) | −54.5882 | + | 39.6606i | −2.72941 | + | 1.98303i | ||||
\(401\) | −25.6507 | − | 8.33442i | −1.28094 | − | 0.416201i | −0.412026 | − | 0.911172i | \(-0.635179\pi\) |
−0.868909 | + | 0.494971i | \(0.835179\pi\) | |||||||
\(402\) | −23.4661 | − | 31.4364i | −1.17038 | − | 1.56790i | ||||
\(403\) | −1.94600 | − | 2.67845i | −0.0969374 | − | 0.133423i | ||||
\(404\) | −39.5747 | − | 28.7527i | −1.96891 | − | 1.43050i | ||||
\(405\) | 5.81240 | − | 8.93657i | 0.288821 | − | 0.444062i | ||||
\(406\) | 24.2978i | 1.20588i | ||||||||
\(407\) | 36.1113 | − | 8.89422i | 1.78997 | − | 0.440870i | ||||
\(408\) | −7.32544 | + | 10.3614i | −0.362663 | + | 0.512965i | ||||
\(409\) | 5.80659 | − | 1.88667i | 0.287117 | − | 0.0932900i | −0.161918 | − | 0.986804i | \(-0.551768\pi\) |
0.449035 | + | 0.893514i | \(0.351768\pi\) | |||||||
\(410\) | −3.31805 | + | 4.56690i | −0.163867 | + | 0.225543i | ||||
\(411\) | −8.01677 | + | 0.103538i | −0.395438 | + | 0.00510714i | ||||
\(412\) | −9.69082 | + | 29.8253i | −0.477432 | + | 1.46939i | ||||
\(413\) | 4.18109 | − | 12.8681i | 0.205738 | − | 0.633197i | ||||
\(414\) | −14.4683 | + | 21.0357i | −0.711078 | + | 1.03385i | ||||
\(415\) | 3.39699 | − | 4.67556i | 0.166752 | − | 0.229514i | ||||
\(416\) | −29.3838 | + | 9.54738i | −1.44066 | + | 0.468099i | ||||
\(417\) | −0.484538 | − | 0.342565i | −0.0237279 | − | 0.0167755i | ||||
\(418\) | 32.6870 | + | 27.5869i | 1.59877 | + | 1.34932i | ||||
\(419\) | − | 18.1444i | − | 0.886414i | −0.896419 | − | 0.443207i | \(-0.853841\pi\) | ||
0.896419 | − | 0.443207i | \(-0.146159\pi\) | |||||||
\(420\) | −22.8244 | − | 7.09155i | −1.11372 | − | 0.346032i | ||||
\(421\) | −11.0106 | − | 7.99966i | −0.536623 | − | 0.389880i | 0.286206 | − | 0.958168i | \(-0.407606\pi\) |
−0.822829 | + | 0.568289i | \(0.807606\pi\) | |||||||
\(422\) | −28.0468 | − | 38.6031i | −1.36530 | − | 1.87917i | ||||
\(423\) | −0.945244 | − | 36.5883i | −0.0459593 | − | 1.77899i | ||||
\(424\) | 74.0690 | + | 24.0665i | 3.59711 | + | 1.16877i | ||||
\(425\) | −1.96098 | + | 1.42474i | −0.0951216 | + | 0.0691099i | ||||
\(426\) | 3.69227 | + | 10.8834i | 0.178891 | + | 0.527301i | ||||
\(427\) | −2.98482 | − | 9.18635i | −0.144446 | − | 0.444558i | ||||
\(428\) | −1.54959 | −0.0749021 | ||||||||
\(429\) | −5.55966 | + | 1.44575i | −0.268423 | + | 0.0698014i | ||||
\(430\) | −2.02778 | −0.0977883 | ||||||||
\(431\) | −0.982984 | − | 3.02531i | −0.0473487 | − | 0.145724i | 0.924587 | − | 0.380971i | \(-0.124410\pi\) |
−0.971936 | + | 0.235247i | \(0.924410\pi\) | |||||||
\(432\) | 60.3050 | + | 76.5795i | 2.90143 | + | 3.68443i | ||||
\(433\) | −10.4846 | + | 7.61748i | −0.503856 | + | 0.366073i | −0.810488 | − | 0.585755i | \(-0.800798\pi\) |
0.306632 | + | 0.951828i | \(0.400798\pi\) | |||||||
\(434\) | 17.5225 | + | 5.69340i | 0.841105 | + | 0.273292i | ||||
\(435\) | −7.17838 | + | 5.35839i | −0.344177 | + | 0.256915i | ||||
\(436\) | 56.7463 | + | 78.1046i | 2.71765 | + | 3.74053i | ||||
\(437\) | 11.2761 | + | 8.19256i | 0.539409 | + | 0.391903i | ||||
\(438\) | 4.44319 | − | 14.3006i | 0.212304 | − | 0.683307i | ||||
\(439\) | 2.56094i | 0.122227i | 0.998131 | + | 0.0611134i | \(0.0194651\pi\) | ||||
−0.998131 | + | 0.0611134i | \(0.980535\pi\) | |||||||
\(440\) | 10.2143 | + | 41.4708i | 0.486946 | + | 1.97704i | ||||
\(441\) | −3.06839 | − | 8.67454i | −0.146114 | − | 0.413073i | ||||
\(442\) | −1.79843 | + | 0.584344i | −0.0855424 | + | 0.0277944i | ||||
\(443\) | −19.7401 | + | 27.1699i | −0.937880 | + | 1.29088i | 0.0188256 | + | 0.999823i | \(0.494007\pi\) |
−0.956705 | + | 0.291058i | \(0.905993\pi\) | |||||||
\(444\) | −1.47338 | − | 114.082i | −0.0699235 | − | 5.41408i | ||||
\(445\) | −2.55799 | + | 7.87269i | −0.121260 | + | 0.373201i | ||||
\(446\) | −21.4145 | + | 65.9072i | −1.01401 | + | 3.12080i | ||||
\(447\) | −0.228490 | − | 17.6917i | −0.0108072 | − | 0.836787i | ||||
\(448\) | 57.3279 | − | 78.9051i | 2.70849 | − | 3.72791i | ||||
\(449\) | 11.0597 | − | 3.59352i | 0.521940 | − | 0.169589i | −0.0361856 | − | 0.999345i | \(-0.511521\pi\) |
0.558126 | + | 0.829756i | \(0.311521\pi\) | |||||||
\(450\) | 10.0978 | + | 28.5472i | 0.476015 | + | 1.34573i | ||||
\(451\) | −2.97126 | − | 4.78532i | −0.139911 | − | 0.225332i | ||||
\(452\) | 34.0937i | 1.60363i | ||||||||
\(453\) | 9.73147 | − | 31.3210i | 0.457224 | − | 1.47159i | ||||
\(454\) | −26.8811 | − | 19.5303i | −1.26159 | − | 0.916602i | ||||
\(455\) | −1.38074 | − | 1.90042i | −0.0647301 | − | 0.0890933i | ||||
\(456\) | 69.3502 | − | 51.7673i | 3.24762 | − | 2.42423i | ||||
\(457\) | −16.1920 | − | 5.26110i | −0.757430 | − | 0.246104i | −0.0952550 | − | 0.995453i | \(-0.530367\pi\) |
−0.662175 | + | 0.749349i | \(0.730367\pi\) | |||||||
\(458\) | −24.3360 | + | 17.6811i | −1.13715 | + | 0.826186i | ||||
\(459\) | 2.16635 | + | 2.75098i | 0.101117 | + | 0.128405i | ||||
\(460\) | 6.52100 | + | 20.0696i | 0.304043 | + | 0.935749i | ||||
\(461\) | −8.65253 | −0.402988 | −0.201494 | − | 0.979490i | \(-0.564580\pi\) | ||||
−0.201494 | + | 0.979490i | \(0.564580\pi\) | |||||||
\(462\) | 20.3014 | − | 24.6947i | 0.944509 | − | 1.14890i | ||||
\(463\) | −31.9795 | −1.48621 | −0.743107 | − | 0.669173i | \(-0.766649\pi\) | ||||
−0.743107 | + | 0.669173i | \(0.766649\pi\) | |||||||
\(464\) | −25.3100 | − | 77.8960i | −1.17499 | − | 3.61623i | ||||
\(465\) | 2.18221 | + | 6.43228i | 0.101197 | + | 0.298290i | ||||
\(466\) | −57.6077 | + | 41.8544i | −2.66862 | + | 1.93887i | ||||
\(467\) | 36.2650 | + | 11.7832i | 1.67814 | + | 0.545262i | 0.984550 | − | 0.175104i | \(-0.0560261\pi\) |
0.693594 | + | 0.720366i | \(0.256026\pi\) | |||||||
\(468\) | 0.455128 | + | 17.6170i | 0.0210383 | + | 0.814347i | ||||
\(469\) | 9.40839 | + | 12.9495i | 0.434439 | + | 0.597954i | ||||
\(470\) | −32.8069 | − | 23.8356i | −1.51327 | − | 1.09945i | ||||
\(471\) | −10.0843 | − | 3.13321i | −0.464662 | − | 0.144371i | ||||
\(472\) | 74.1735i | 3.41411i | ||||||||
\(473\) | 0.763318 | − | 1.87387i | 0.0350974 | − | 0.0861606i | ||||
\(474\) | −23.0461 | − | 16.2934i | −1.05854 | − | 0.748382i | ||||
\(475\) | 15.7218 | − | 5.10833i | 0.721366 | − | 0.234386i | ||||
\(476\) | 4.61438 | − | 6.35115i | 0.211500 | − | 0.291104i | ||||
\(477\) | 12.1787 | − | 17.7068i | 0.557625 | − | 0.810740i | ||||
\(478\) | 13.8341 | − | 42.5769i | 0.632756 | − | 1.94742i | ||||
\(479\) | −6.85510 | + | 21.0978i | −0.313217 | + | 0.963984i | 0.663265 | + | 0.748385i | \(0.269170\pi\) |
−0.976482 | + | 0.215599i | \(0.930830\pi\) | |||||||
\(480\) | 63.3813 | − | 0.818579i | 2.89295 | − | 0.0373628i | ||||
\(481\) | 6.59104 | − | 9.07179i | 0.300526 | − | 0.413638i | ||||
\(482\) | 49.1892 | − | 15.9825i | 2.24051 | − | 0.727985i | ||||
\(483\) | 6.01384 | − | 8.50621i | 0.273639 | − | 0.387046i | ||||
\(484\) | −63.9361 | − | 9.35790i | −2.90619 | − | 0.425359i | ||||
\(485\) | − | 7.94880i | − | 0.360936i | ||||||
\(486\) | 40.6432 | − | 16.1736i | 1.84361 | − | 0.733652i | ||||
\(487\) | 16.5962 | + | 12.0578i | 0.752045 | + | 0.546392i | 0.896460 | − | 0.443125i | \(-0.146130\pi\) |
−0.144415 | + | 0.989517i | \(0.546130\pi\) | |||||||
\(488\) | 31.1241 | + | 42.8386i | 1.40892 | + | 1.93921i | ||||
\(489\) | 3.77897 | + | 5.06251i | 0.170891 | + | 0.228935i | ||||
\(490\) | −9.69554 | − | 3.15027i | −0.438000 | − | 0.142315i | ||||
\(491\) | −14.6492 | + | 10.6433i | −0.661109 | + | 0.480324i | −0.867037 | − | 0.498243i | \(-0.833979\pi\) |
0.205928 | + | 0.978567i | \(0.433979\pi\) | |||||||
\(492\) | −16.3638 | + | 5.55155i | −0.737736 | + | 0.250283i | ||||
\(493\) | −0.909214 | − | 2.79827i | −0.0409490 | − | 0.126028i | ||||
\(494\) | 12.8964 | 0.580234 | ||||||||
\(495\) | 11.7727 | + | 0.551800i | 0.529144 | + | 0.0248016i | ||||
\(496\) | −62.1056 | −2.78862 | ||||||||
\(497\) | −1.44908 | − | 4.45982i | −0.0650002 | − | 0.200050i | ||||
\(498\) | 22.4570 | − | 7.61871i | 1.00632 | − | 0.341403i | ||||
\(499\) | 16.3053 | − | 11.8465i | 0.729927 | − | 0.530323i | −0.159614 | − | 0.987180i | \(-0.551025\pi\) |
0.889540 | + | 0.456857i | \(0.151025\pi\) | |||||||
\(500\) | 56.8909 | + | 18.4850i | 2.54424 | + | 0.826673i | ||||
\(501\) | −20.5408 | − | 27.5175i | −0.917695 | − | 1.22939i | ||||
\(502\) | −12.4986 | − | 17.2028i | −0.557840 | − | 0.767800i | ||||
\(503\) | 28.8657 | + | 20.9721i | 1.28706 | + | 0.935102i | 0.999742 | − | 0.0227345i | \(-0.00723724\pi\) |
0.287315 | + | 0.957836i | \(0.407237\pi\) | |||||||
\(504\) | −39.3574 | − | 51.3289i | −1.75312 | − | 2.28637i | ||||
\(505\) | 9.86367i | 0.438928i | ||||||||
\(506\) | −28.1511 | − | 2.04922i | −1.25147 | − | 0.0910991i | ||||
\(507\) | −0.999893 | + | 1.41429i | −0.0444068 | + | 0.0628108i | ||||
\(508\) | −61.2630 | + | 19.9055i | −2.71810 | + | 0.883166i | ||||
\(509\) | 10.9111 | − | 15.0179i | 0.483627 | − | 0.665655i | −0.495570 | − | 0.868568i | \(-0.665041\pi\) |
0.979197 | + | 0.202913i | \(0.0650408\pi\) | |||||||
\(510\) | 3.87924 | − | 0.0501008i | 0.171775 | − | 0.00221850i | ||||
\(511\) | −1.88816 | + | 5.81114i | −0.0835271 | + | 0.257070i | ||||
\(512\) | −53.0549 | + | 163.286i | −2.34472 | + | 7.21630i | ||||
\(513\) | −8.25363 | − | 22.4088i | −0.364407 | − | 0.989372i | ||||
\(514\) | −6.29053 | + | 8.65817i | −0.277463 | + | 0.381896i | ||||
\(515\) | 6.01400 | − | 1.95407i | 0.265008 | − | 0.0861065i | ||||
\(516\) | −5.06844 | − | 3.58335i | −0.223126 | − | 0.157748i | ||||
\(517\) | 34.3760 | − | 21.3444i | 1.51185 | − | 0.938725i | ||||
\(518\) | 62.4021i | 2.74179i | ||||||||
\(519\) | −26.7253 | − | 8.30358i | −1.17311 | − | 0.364487i | ||||
\(520\) | 10.4182 | + | 7.56926i | 0.456868 | + | 0.331934i | ||||
\(521\) | 18.5921 | + | 25.5898i | 0.814533 | + | 1.12111i | 0.990608 | + | 0.136732i | \(0.0436598\pi\) |
−0.176075 | + | 0.984377i | \(0.556340\pi\) | |||||||
\(522\) | −36.7440 | + | 0.949265i | −1.60824 | + | 0.0415482i | ||||
\(523\) | 21.7263 | + | 7.05930i | 0.950025 | + | 0.308682i | 0.742726 | − | 0.669596i | \(-0.233533\pi\) |
0.207299 | + | 0.978278i | \(0.433533\pi\) | |||||||
\(524\) | 71.3837 | − | 51.8633i | 3.11841 | − | 2.26566i | ||||
\(525\) | −3.96943 | − | 11.7003i | −0.173240 | − | 0.510644i | ||||
\(526\) | 6.39971 | + | 19.6963i | 0.279041 | + | 0.858799i | ||||
\(527\) | −2.23103 | −0.0971852 | ||||||||
\(528\) | −39.3607 | + | 100.316i | −1.71295 | + | 4.36567i | ||||
\(529\) | 13.8023 | 0.600099 | ||||||||
\(530\) | −7.35791 | − | 22.6453i | −0.319607 | − | 0.983650i | ||||
\(531\) | 19.6229 | + | 5.82005i | 0.851560 | + | 0.252569i | ||||
\(532\) | −43.3144 | + | 31.4698i | −1.87792 | + | 1.36439i | ||||
\(533\) | −1.61521 | − | 0.524814i | −0.0699625 | − | 0.0227322i | ||||
\(534\) | −27.2192 | + | 20.3181i | −1.17789 | + | 0.879249i | ||||
\(535\) | 0.183660 | + | 0.252786i | 0.00794030 | + | 0.0109289i | ||||
\(536\) | −70.9898 | − | 51.5771i | −3.06629 | − | 2.22779i | ||||
\(537\) | −2.12553 | + | 6.84107i | −0.0917232 | + | 0.295214i | ||||
\(538\) | 0.843360i | 0.0363598i | ||||||||
\(539\) | 6.56086 | − | 7.77378i | 0.282596 | − | 0.334840i | ||||
\(540\) | 9.83237 | − | 34.7928i | 0.423118 | − | 1.49724i | ||||
\(541\) | −20.1942 | + | 6.56150i | −0.868217 | + | 0.282101i | −0.709056 | − | 0.705152i | \(-0.750879\pi\) |
−0.159161 | + | 0.987253i | \(0.550879\pi\) | |||||||
\(542\) | −16.2588 | + | 22.3783i | −0.698374 | + | 0.961230i | ||||
\(543\) | −0.265412 | − | 20.5505i | −0.0113899 | − | 0.881905i | ||||
\(544\) | −6.43376 | + | 19.8011i | −0.275845 | + | 0.848964i | ||||
\(545\) | 6.01562 | − | 18.5142i | 0.257681 | − | 0.793060i | ||||
\(546\) | −0.124476 | − | 9.63803i | −0.00532710 | − | 0.412470i | ||||
\(547\) | −8.46578 | + | 11.6521i | −0.361970 | + | 0.498210i | −0.950696 | − | 0.310123i | \(-0.899630\pi\) |
0.588726 | + | 0.808333i | \(0.299630\pi\) | |||||||
\(548\) | −25.8605 | + | 8.40260i | −1.10471 | + | 0.358941i | ||||
\(549\) | 13.7753 | − | 4.87264i | 0.587915 | − | 0.207959i | ||||
\(550\) | −21.5912 | + | 25.5829i | −0.920653 | + | 1.09086i | ||||
\(551\) | 20.0662i | 0.854847i | ||||||||
\(552\) | −16.9446 | + | 54.5367i | −0.721210 | + | 2.32124i | ||||
\(553\) | 9.31683 | + | 6.76908i | 0.396192 | + | 0.287850i | ||||
\(554\) | −18.6015 | − | 25.6028i | −0.790303 | − | 1.08776i | ||||
\(555\) | −18.4356 | + | 13.7615i | −0.782549 | + | 0.584143i | ||||
\(556\) | −1.91405 | − | 0.621911i | −0.0811736 | − | 0.0263749i | ||||
\(557\) | −9.04767 | + | 6.57352i | −0.383362 | + | 0.278529i | −0.762730 | − | 0.646717i | \(-0.776141\pi\) |
0.379368 | + | 0.925246i | \(0.376141\pi\) | |||||||
\(558\) | −7.92517 | + | 26.7205i | −0.335499 | + | 1.13117i | ||||
\(559\) | −0.188522 | − | 0.580211i | −0.00797363 | − | 0.0245403i | ||||
\(560\) | −44.0655 | −1.86211 | ||||||||
\(561\) | −1.41396 | + | 3.60366i | −0.0596975 | + | 0.152146i | ||||
\(562\) | −37.4516 | −1.57980 | ||||||||
\(563\) | −8.46418 | − | 26.0501i | −0.356722 | − | 1.09788i | −0.955004 | − | 0.296593i | \(-0.904150\pi\) |
0.598282 | − | 0.801286i | \(-0.295850\pi\) | |||||||
\(564\) | −39.8802 | − | 117.551i | −1.67926 | − | 4.94980i | ||||
\(565\) | 5.56174 | − | 4.04084i | 0.233984 | − | 0.169999i | ||||
\(566\) | 30.8107 | + | 10.0110i | 1.29507 | + | 0.420794i | ||||
\(567\) | −16.6674 | + | 6.38461i | −0.699967 | + | 0.268128i | ||||
\(568\) | 15.1102 | + | 20.7974i | 0.634011 | + | 0.872641i | ||||
\(569\) | −4.48946 | − | 3.26178i | −0.188208 | − | 0.136741i | 0.489691 | − | 0.871896i | \(-0.337109\pi\) |
−0.677899 | + | 0.735155i | \(0.737109\pi\) | |||||||
\(570\) | −25.2669 | − | 7.85044i | −1.05831 | − | 0.328819i | ||||
\(571\) | 20.8993i | 0.874609i | 0.899314 | + | 0.437304i | \(0.144067\pi\) | ||||
−0.899314 | + | 0.437304i | \(0.855933\pi\) | |||||||
\(572\) | −16.5518 | + | 10.2772i | −0.692065 | + | 0.429710i | ||||
\(573\) | 4.14458 | + | 2.93019i | 0.173142 | + | 0.122411i | ||||
\(574\) | 8.98862 | − | 2.92058i | 0.375178 | − | 0.121903i | ||||
\(575\) | −6.41201 | + | 8.82538i | −0.267399 | + | 0.368044i | ||||
\(576\) | 121.562 | + | 83.6104i | 5.06510 | + | 3.48377i | ||||
\(577\) | −7.38341 | + | 22.7238i | −0.307375 | + | 0.946004i | 0.671405 | + | 0.741091i | \(0.265691\pi\) |
−0.978780 | + | 0.204913i | \(0.934309\pi\) | |||||||
\(578\) | 14.3476 | − | 44.1573i | 0.596780 | − | 1.83670i | ||||
\(579\) | −18.4322 | + | 0.238054i | −0.766015 | + | 0.00989319i | ||||
\(580\) | −17.8572 | + | 24.5783i | −0.741481 | + | 1.02056i | ||||
\(581\) | −9.20247 | + | 2.99006i | −0.381783 | + | 0.124049i | ||||
\(582\) | 18.8289 | − | 26.6324i | 0.780484 | − | 1.10395i | ||||
\(583\) | 23.6962 | + | 1.72494i | 0.981398 | + | 0.0714397i | ||||
\(584\) | − | 33.4963i | − | 1.38609i | ||||||
\(585\) | 2.81994 | − | 2.16224i | 0.116590 | − | 0.0893978i | ||||
\(586\) | 68.1259 | + | 49.4964i | 2.81426 | + | 2.04468i | ||||
\(587\) | −3.04360 | − | 4.18916i | −0.125623 | − | 0.172905i | 0.741573 | − | 0.670872i | \(-0.234080\pi\) |
−0.867196 | + | 0.497967i | \(0.834080\pi\) | |||||||
\(588\) | −18.6671 | − | 25.0074i | −0.769817 | − | 1.03129i | ||||
\(589\) | 14.4708 | + | 4.70185i | 0.596259 | + | 0.193736i | ||||
\(590\) | 18.3463 | − | 13.3294i | 0.755305 | − | 0.548761i | ||||
\(591\) | 9.17776 | − | 3.11363i | 0.377523 | − | 0.128078i | ||||
\(592\) | −65.0015 | − | 200.054i | −2.67154 | − | 8.22217i | ||||
\(593\) | −11.9894 | −0.492346 | −0.246173 | − | 0.969226i | \(-0.579173\pi\) | ||||
−0.246173 | + | 0.969226i | \(0.579173\pi\) | |||||||
\(594\) | 38.1373 | + | 29.7357i | 1.56479 | + | 1.22007i | ||||
\(595\) | −1.58297 | −0.0648956 | ||||||||
\(596\) | −18.5431 | − | 57.0698i | −0.759556 | − | 2.33767i | ||||
\(597\) | 18.6774 | − | 6.33648i | 0.764416 | − | 0.259335i | ||||
\(598\) | −6.88500 | + | 5.00224i | −0.281549 | + | 0.204557i | ||||
\(599\) | 22.1615 | + | 7.20071i | 0.905495 | + | 0.294213i | 0.724503 | − | 0.689271i | \(-0.242069\pi\) |
0.180992 | + | 0.983485i | \(0.442069\pi\) | |||||||
\(600\) | 40.5163 | + | 54.2778i | 1.65407 | + | 2.21588i | ||||
\(601\) | 8.10991 | + | 11.1623i | 0.330810 | + | 0.455321i | 0.941729 | − | 0.336372i | \(-0.109200\pi\) |
−0.610919 | + | 0.791693i | \(0.709200\pi\) | |||||||
\(602\) | 2.74664 | + | 1.99555i | 0.111945 | + | 0.0813325i | ||||
\(603\) | −19.2151 | + | 14.7336i | −0.782501 | + | 0.599998i | ||||
\(604\) | − | 111.235i | − | 4.52610i | ||||||
\(605\) | 6.05125 | + | 11.5391i | 0.246018 | + | 0.469130i | ||||
\(606\) | −23.3648 | + | 33.0482i | −0.949132 | + | 1.34249i | ||||
\(607\) | −27.6876 | + | 8.99624i | −1.12380 | + | 0.365146i | −0.811219 | − | 0.584743i | \(-0.801195\pi\) |
−0.312586 | + | 0.949889i | \(0.601195\pi\) | |||||||
\(608\) | 83.4606 | − | 114.874i | 3.38477 | − | 4.65874i | ||||
\(609\) | 14.9964 | − | 0.193680i | 0.607683 | − | 0.00784831i | ||||
\(610\) | 5.00268 | − | 15.3967i | 0.202552 | − | 0.623392i | ||||
\(611\) | 3.77006 | − | 11.6031i | 0.152520 | − | 0.469410i | ||||
\(612\) | 9.78468 | + | 6.72989i | 0.395522 | + | 0.272040i | ||||
\(613\) | 22.1916 | − | 30.5442i | 0.896312 | − | 1.23367i | −0.0753173 | − | 0.997160i | \(-0.523997\pi\) |
0.971629 | − | 0.236508i | \(-0.0760030\pi\) | |||||||
\(614\) | −71.7891 | + | 23.3257i | −2.89717 | + | 0.941348i | ||||
\(615\) | 2.84509 | + | 2.01146i | 0.114725 | + | 0.0811100i | ||||
\(616\) | 26.9763 | − | 66.2242i | 1.08691 | − | 2.66825i | ||||
\(617\) | − | 37.9594i | − | 1.52819i | −0.645106 | − | 0.764093i | \(-0.723187\pi\) | ||
0.645106 | − | 0.764093i | \(-0.276813\pi\) | |||||||
\(618\) | 24.7786 | + | 7.69874i | 0.996742 | + | 0.309689i | ||||
\(619\) | 24.5489 | + | 17.8358i | 0.986702 | + | 0.716881i | 0.959196 | − | 0.282741i | \(-0.0912436\pi\) |
0.0275056 | + | 0.999622i | \(0.491244\pi\) | |||||||
\(620\) | 13.5405 | + | 18.6369i | 0.543800 | + | 0.748477i | ||||
\(621\) | 13.0983 | + | 8.76200i | 0.525617 | + | 0.351607i | ||||
\(622\) | −62.2893 | − | 20.2390i | −2.49757 | − | 0.811510i | ||||
\(623\) | 11.2124 | − | 8.14625i | 0.449213 | − | 0.326373i | ||||
\(624\) | 10.4386 | + | 30.7688i | 0.417877 | + | 1.23174i | ||||
\(625\) | 1.83028 | + | 5.63301i | 0.0732111 | + | 0.225321i | ||||
\(626\) | 77.7177 | 3.10622 | ||||||||
\(627\) | 16.7658 | − | 20.3939i | 0.669561 | − | 0.814456i | ||||
\(628\) | −35.8141 | −1.42914 | ||||||||
\(629\) | −2.33506 | − | 7.18658i | −0.0931050 | − | 0.286548i | ||||
\(630\) | −5.62311 | + | 18.9589i | −0.224030 | + | 0.755339i | ||||
\(631\) | 1.72523 | − | 1.25345i | 0.0686802 | − | 0.0498991i | −0.552915 | − | 0.833237i | \(-0.686485\pi\) |
0.621596 | + | 0.783338i | \(0.286485\pi\) | |||||||
\(632\) | −60.0425 | − | 19.5090i | −2.38836 | − | 0.776026i | ||||
\(633\) | −23.6018 | + | 17.6179i | −0.938089 | + | 0.700248i | ||||
\(634\) | −29.8496 | − | 41.0844i | −1.18548 | − | 1.63167i | ||||
\(635\) | 10.5082 | + | 7.63465i | 0.417005 | + | 0.302972i | ||||
\(636\) | 21.6261 | − | 69.6043i | 0.857531 | − | 2.75999i | ||||
\(637\) | − | 3.06708i | − | 0.121522i | ||||||
\(638\) | −21.4352 | − | 34.5222i | −0.848626 | − | 1.36675i | ||||
\(639\) | 6.68767 | − | 2.36558i | 0.264560 | − | 0.0935811i | ||||
\(640\) | 85.8563 | − | 27.8964i | 3.39377 | − | 1.10270i | ||||
\(641\) | −6.38486 | + | 8.78800i | −0.252187 | + | 0.347105i | −0.916276 | − | 0.400548i | \(-0.868820\pi\) |
0.664089 | + | 0.747654i | \(0.268820\pi\) | |||||||
\(642\) | 0.0165573 | + | 1.28201i | 0.000653464 | + | 0.0505968i | ||||
\(643\) | 4.45196 | − | 13.7017i | 0.175568 | − | 0.540344i | −0.824091 | − | 0.566458i | \(-0.808313\pi\) |
0.999659 | + | 0.0261143i | \(0.00831339\pi\) | |||||||
\(644\) | 10.9178 | − | 33.6016i | 0.430223 | − | 1.32409i | ||||
\(645\) | 0.0161636 | + | 1.25153i | 0.000636442 | + | 0.0492788i | ||||
\(646\) | 5.10818 | − | 7.03080i | 0.200979 | − | 0.276623i | ||||
\(647\) | −3.42898 | + | 1.11414i | −0.134807 | + | 0.0438015i | −0.375643 | − | 0.926764i | \(-0.622578\pi\) |
0.240836 | + | 0.970566i | \(0.422578\pi\) | |||||||
\(648\) | 76.0836 | − | 61.5229i | 2.98885 | − | 2.41685i | ||||
\(649\) | 5.41155 | + | 21.9714i | 0.212422 | + | 0.862451i | ||||
\(650\) | 10.0935i | 0.395899i | ||||||||
\(651\) | 3.37423 | − | 10.8601i | 0.132246 | − | 0.425639i | ||||
\(652\) | 17.3337 | + | 12.5937i | 0.678841 | + | 0.493207i | ||||
\(653\) | 3.97286 | + | 5.46817i | 0.155470 | + | 0.213986i | 0.879646 | − | 0.475629i | \(-0.157780\pi\) |
−0.724176 | + | 0.689615i | \(0.757780\pi\) | |||||||
\(654\) | 64.0112 | − | 47.7820i | 2.50304 | − | 1.86842i | ||||
\(655\) | −16.9210 | − | 5.49797i | −0.661159 | − | 0.214824i | ||||
\(656\) | −25.7742 | + | 18.7261i | −1.00632 | + | 0.731131i | ||||
\(657\) | −8.86157 | − | 2.62830i | −0.345723 | − | 0.102540i | ||||
\(658\) | 20.9803 | + | 64.5708i | 0.817899 | + | 2.51723i | ||||
\(659\) | −11.8385 | −0.461161 | −0.230581 | − | 0.973053i | \(-0.574063\pi\) | ||||
−0.230581 | + | 0.973053i | \(0.574063\pi\) | |||||||
\(660\) | 38.6847 | − | 10.0597i | 1.50580 | − | 0.391573i | ||||
\(661\) | 32.9842 | 1.28294 | 0.641468 | − | 0.767150i | \(-0.278326\pi\) | ||||
0.641468 | + | 0.767150i | \(0.278326\pi\) | |||||||
\(662\) | 17.5049 | + | 53.8746i | 0.680348 | + | 2.09390i | ||||
\(663\) | 0.374986 | + | 1.10531i | 0.0145633 | + | 0.0429268i | ||||
\(664\) | 42.9138 | − | 31.1787i | 1.66538 | − | 1.20997i | ||||
\(665\) | 10.2674 | + | 3.33608i | 0.398152 | + | 0.129368i | ||||
\(666\) | −94.3665 | + | 2.43792i | −3.65663 | + | 0.0944674i | ||||
\(667\) | −7.78328 | − | 10.7128i | −0.301370 | − | 0.414800i | ||||
\(668\) | −94.2184 | − | 68.4536i | −3.64542 | − | 2.64855i | ||||
\(669\) | 40.8479 | + | 12.6915i | 1.57927 | + | 0.490681i | ||||
\(670\) | 26.8275i | 1.03644i | ||||||||
\(671\) | 12.3449 | + | 10.4187i | 0.476568 | + | 0.402210i | ||||
\(672\) | −86.6558 | − | 61.2651i | −3.34282 | − | 2.36335i | ||||
\(673\) | −23.1108 | + | 7.50915i | −0.890856 | + | 0.289457i | −0.718458 | − | 0.695571i | \(-0.755152\pi\) |
−0.172398 | + | 0.985027i | \(0.555152\pi\) | |||||||
\(674\) | −26.7956 | + | 36.8810i | −1.03213 | + | 1.42060i | ||||
\(675\) | 17.5385 | − | 6.45981i | 0.675058 | − | 0.248638i | ||||
\(676\) | −1.81526 | + | 5.58679i | −0.0698177 | + | 0.214877i | ||||
\(677\) | 0.255394 | − | 0.786023i | 0.00981560 | − | 0.0302093i | −0.946029 | − | 0.324083i | \(-0.894944\pi\) |
0.955844 | + | 0.293873i | \(0.0949444\pi\) | |||||||
\(678\) | 28.2064 | − | 0.364290i | 1.08326 | − | 0.0139905i | ||||
\(679\) | −7.82245 | + | 10.7667i | −0.300198 | + | 0.413187i | ||||
\(680\) | 8.25318 | − | 2.68162i | 0.316495 | − | 0.102836i | ||||
\(681\) | −11.8396 | + | 16.7464i | −0.453695 | + | 0.641724i | ||||
\(682\) | −29.9184 | + | 7.36892i | −1.14564 | + | 0.282170i | ||||
\(683\) | − | 37.7249i | − | 1.44350i | −0.692153 | − | 0.721751i | \(-0.743337\pi\) | ||
0.692153 | − | 0.721751i | \(-0.256663\pi\) | |||||||
\(684\) | −49.2818 | − | 64.2720i | −1.88434 | − | 2.45750i | ||||
\(685\) | 4.43576 | + | 3.22277i | 0.169482 | + | 0.123136i | ||||
\(686\) | 32.9296 | + | 45.3236i | 1.25726 | + | 1.73046i | ||||
\(687\) | 11.1066 | + | 14.8790i | 0.423743 | + | 0.567669i | ||||
\(688\) | −10.8841 | − | 3.53645i | −0.414952 | − | 0.134826i | ||||
\(689\) | 5.79547 | − | 4.21065i | 0.220790 | − | 0.160413i | ||||
\(690\) | 16.5343 | − | 5.60940i | 0.629450 | − | 0.213546i | ||||
\(691\) | 3.77218 | + | 11.6096i | 0.143500 | + | 0.441649i | 0.996815 | − | 0.0797473i | \(-0.0254113\pi\) |
−0.853315 | + | 0.521396i | \(0.825411\pi\) | |||||||
\(692\) | −94.9139 | −3.60809 | ||||||||
\(693\) | −15.4031 | − | 12.3330i | −0.585117 | − | 0.468491i | ||||
\(694\) | 85.3020 | 3.23802 | ||||||||
\(695\) | 0.125403 | + | 0.385950i | 0.00475680 | + | 0.0146399i | ||||
\(696\) | −77.8587 | + | 26.4142i | −2.95123 | + | 1.00123i | ||||
\(697\) | −0.925893 | + | 0.672701i | −0.0350707 | + | 0.0254804i | ||||
\(698\) | 42.7582 | + | 13.8930i | 1.61842 | + | 0.525857i | ||||
\(699\) | 26.2913 | + | 35.2212i | 0.994428 | + | 1.33219i | ||||
\(700\) | −24.6302 | − | 33.9006i | −0.930934 | − | 1.28132i | ||||
\(701\) | −19.0711 | − | 13.8560i | −0.720306 | − | 0.523333i | 0.166176 | − | 0.986096i | \(-0.446858\pi\) |
−0.886482 | + | 0.462763i | \(0.846858\pi\) | |||||||
\(702\) | 14.5701 | − | 0.564775i | 0.549912 | − | 0.0213160i | ||||
\(703\) | 51.5343i | 1.94365i | ||||||||
\(704\) | −11.8422 | + | 162.682i | −0.446320 | + | 6.13129i | ||||
\(705\) | −14.4496 | + | 20.4381i | −0.544203 | + | 0.769742i | ||||
\(706\) | 82.5579 | − | 26.8247i | 3.10711 | − | 1.00956i | ||||
\(707\) | 9.70688 | − | 13.3604i | 0.365065 | − | 0.502469i | ||||
\(708\) | 69.4113 | − | 0.896456i | 2.60864 | − | 0.0336909i | ||||
\(709\) | −5.08169 | + | 15.6398i | −0.190847 | + | 0.587366i | −1.00000 | 0.000231497i | \(-0.999926\pi\) | |
0.809153 | + | 0.587598i | \(0.199926\pi\) | |||||||
\(710\) | 2.42871 | − | 7.47482i | 0.0911480 | − | 0.280525i | ||||
\(711\) | −9.87243 | + | 14.3537i | −0.370245 | + | 0.538305i | ||||
\(712\) | −44.6580 | + | 61.4665i | −1.67363 | + | 2.30355i | ||||
\(713\) | −9.54930 | + | 3.10276i | −0.357624 | + | 0.116199i | ||||
\(714\) | −5.30374 | − | 3.74971i | −0.198488 | − | 0.140329i | ||||
\(715\) | 3.63827 | + | 1.48204i | 0.136064 | + | 0.0554253i | ||||
\(716\) | 24.2958i | 0.907976i | ||||||||
\(717\) | −26.3883 | − | 8.19887i | −0.985489 | − | 0.306192i | ||||
\(718\) | −0.223560 | − | 0.162426i | −0.00834318 | − | 0.00606168i | ||||
\(719\) | −6.33030 | − | 8.71291i | −0.236080 | − | 0.324937i | 0.674495 | − | 0.738279i | \(-0.264361\pi\) |
−0.910576 | + | 0.413342i | \(0.864361\pi\) | |||||||
\(720\) | −1.72155 | − | 66.6373i | −0.0641582 | − | 2.48342i | ||||
\(721\) | −10.0690 | − | 3.27161i | −0.374989 | − | 0.121841i | ||||
\(722\) | −4.81589 | + | 3.49895i | −0.179229 | + | 0.130217i | ||||
\(723\) | −10.2563 | − | 30.2317i | −0.381438 | − | 1.12433i | ||||
\(724\) | −21.5395 | − | 66.2918i | −0.800510 | − | 2.46372i | ||||
\(725\) | −15.7050 | −0.583270 | ||||||||
\(726\) | −7.05883 | + | 52.9957i | −0.261978 | + | 1.96685i | ||||
\(727\) | 8.23598 | 0.305456 | 0.152728 | − | 0.988268i | \(-0.451194\pi\) | ||||
0.152728 | + | 0.988268i | \(0.451194\pi\) | |||||||
\(728\) | −6.66254 | − | 20.5052i | −0.246930 | − | 0.759973i | ||||
\(729\) | −10.3062 | − | 24.9556i | −0.381710 | − | 0.924282i | ||||
\(730\) | −8.28508 | + | 6.01946i | −0.306644 | + | 0.222790i | ||||
\(731\) | −0.390991 | − | 0.127041i | −0.0144613 | − | 0.00469877i | ||||
\(732\) | 39.7121 | − | 29.6436i | 1.46780 | − | 1.09566i | ||||
\(733\) | −27.9417 | − | 38.4584i | −1.03205 | − | 1.42049i | −0.903397 | − | 0.428805i | \(-0.858935\pi\) |
−0.128653 | − | 0.991690i | \(-0.541065\pi\) | |||||||
\(734\) | 17.5240 | + | 12.7319i | 0.646822 | + | 0.469944i | ||||
\(735\) | −1.86703 | + | 6.00910i | −0.0688665 | + | 0.221649i | ||||
\(736\) | 93.7005i | 3.45385i | ||||||||
\(737\) | −24.7912 | − | 10.0987i | −0.913197 | − | 0.371989i | ||||
\(738\) | 4.76776 | + | 13.4788i | 0.175504 | + | 0.496161i | ||||
\(739\) | 41.3057 | − | 13.4210i | 1.51945 | − | 0.493700i | 0.573833 | − | 0.818972i | \(-0.305456\pi\) |
0.945621 | + | 0.325272i | \(0.105456\pi\) | |||||||
\(740\) | −45.8612 | + | 63.1225i | −1.68589 | + | 2.32043i | ||||
\(741\) | −0.102798 | − | 7.95949i | −0.00377637 | − | 0.292399i | ||||
\(742\) | −12.3190 | + | 37.9141i | −0.452246 | + | 1.39187i | ||||
\(743\) | 3.67537 | − | 11.3116i | 0.134836 | − | 0.414984i | −0.860728 | − | 0.509065i | \(-0.829991\pi\) |
0.995565 | + | 0.0940812i | \(0.0299913\pi\) | |||||||
\(744\) | 0.805097 | + | 62.3375i | 0.0295163 | + | 2.28540i | ||||
\(745\) | −7.11210 | + | 9.78897i | −0.260567 | + | 0.358640i | ||||
\(746\) | 0.749162 | − | 0.243417i | 0.0274288 | − | 0.00891214i | ||||
\(747\) | −4.88119 | − | 13.7995i | −0.178594 | − | 0.504896i | ||||
\(748\) | −0.953191 | + | 13.0944i | −0.0348521 | + | 0.478778i | ||||
\(749\) | − | 0.523140i | − | 0.0191151i | ||||||
\(750\) | 14.6851 | − | 47.2645i | 0.536225 | − | 1.72586i | ||||
\(751\) | −18.3577 | − | 13.3377i | −0.669884 | − | 0.486699i | 0.200103 | − | 0.979775i | \(-0.435872\pi\) |
−0.869986 | + | 0.493076i | \(0.835872\pi\) | |||||||
\(752\) | −134.521 | − | 185.152i | −4.90548 | − | 6.75181i | ||||
\(753\) | −10.5178 | + | 7.85112i | −0.383289 | + | 0.286111i | ||||
\(754\) | −11.6524 | − | 3.78610i | −0.424356 | − | 0.137882i | ||||
\(755\) | −18.1459 | + | 13.1838i | −0.660398 | + | 0.479808i | ||||
\(756\) | −47.5577 | + | 37.4509i | −1.72966 | + | 1.36208i | ||||
\(757\) | 3.21522 | + | 9.89543i | 0.116859 | + | 0.359655i | 0.992330 | − | 0.123615i | \(-0.0394488\pi\) |
−0.875471 | + | 0.483270i | \(0.839449\pi\) | |||||||
\(758\) | −34.0744 | −1.23764 | ||||||||
\(759\) | −1.04036 | + | 17.3909i | −0.0377629 | + | 0.631249i | ||||
\(760\) | −59.1828 | −2.14679 | ||||||||
\(761\) | −3.61939 | − | 11.1393i | −0.131203 | − | 0.403800i | 0.863777 | − | 0.503874i | \(-0.168092\pi\) |
−0.994980 | + | 0.100073i | \(0.968092\pi\) | |||||||
\(762\) | 17.1229 | + | 50.4715i | 0.620296 | + | 1.82839i | ||||
\(763\) | −26.3680 | + | 19.1575i | −0.954587 | + | 0.693548i | ||||
\(764\) | 16.3721 | + | 5.31963i | 0.592323 | + | 0.192457i | ||||
\(765\) | −0.0618434 | − | 2.39382i | −0.00223595 | − | 0.0865489i | ||||
\(766\) | −32.9050 | − | 45.2898i | −1.18890 | − | 1.63639i | ||||
\(767\) | 5.51959 | + | 4.01022i | 0.199301 | + | 0.144801i | ||||
\(768\) | 191.049 | + | 59.3589i | 6.89387 | + | 2.14193i | ||||
\(769\) | 24.5484i | 0.885238i | 0.896710 | + | 0.442619i | \(0.145951\pi\) | ||||
−0.896710 | + | 0.442619i | \(0.854049\pi\) | |||||||
\(770\) | −21.2279 | + | 5.22843i | −0.765000 | + | 0.188420i | ||||
\(771\) | 5.39387 | + | 3.81343i | 0.194256 | + | 0.137337i | ||||
\(772\) | −59.4586 | + | 19.3193i | −2.13996 | + | 0.695316i | ||||
\(773\) | −19.2528 | + | 26.4993i | −0.692476 | + | 0.953112i | 0.307522 | + | 0.951541i | \(0.400500\pi\) |
−0.999999 | + | 0.00157104i | \(0.999500\pi\) | |||||||
\(774\) | −2.91043 | + | 4.23152i | −0.104613 | + | 0.152099i | ||||
\(775\) | −3.67996 | + | 11.3257i | −0.132188 | + | 0.406833i | ||||
\(776\) | 22.5449 | − | 69.3860i | 0.809314 | − | 2.49081i | ||||
\(777\) | 38.5139 | − | 0.497412i | 1.38168 | − | 0.0178446i | ||||
\(778\) | 34.8574 | − | 47.9772i | 1.24970 | − | 1.72006i | ||||
\(779\) | 7.42318 | − | 2.41194i | 0.265963 | − | 0.0864166i | ||||
\(780\) | 6.95737 | − | 9.84079i | 0.249114 | − | 0.352357i | ||||
\(781\) | 5.99323 | + | 5.05812i | 0.214454 | + | 0.180994i | ||||
\(782\) | 5.73491i | 0.205080i | ||||||||
\(783\) | 0.878765 | + | 22.6704i | 0.0314045 | + | 0.810174i | ||||
\(784\) | −46.5466 | − | 33.8181i | −1.66238 | − | 1.20779i | ||||
\(785\) | 4.24475 | + | 5.84240i | 0.151502 | + | 0.208524i | ||||
\(786\) | −43.6703 | − | 58.5031i | −1.55767 | − | 2.08674i | ||||
\(787\) | 11.1947 | + | 3.63738i | 0.399048 | + | 0.129659i | 0.501664 | − | 0.865062i | \(-0.332721\pi\) |
−0.102616 | + | 0.994721i | \(0.532721\pi\) | |||||||
\(788\) | 26.5917 | − | 19.3200i | 0.947290 | − | 0.688247i | ||||
\(789\) | 12.1053 | − | 4.10683i | 0.430961 | − | 0.146207i | ||||
\(790\) | 5.96453 | + | 18.3569i | 0.212209 | + | 0.653111i | ||||
\(791\) | −11.5100 | −0.409248 | ||||||||
\(792\) | 101.200 | + | 38.2072i | 3.59600 | + | 1.35763i | ||||
\(793\) | 4.87056 | 0.172959 | ||||||||
\(794\) | 29.7237 | + | 91.4803i | 1.05486 | + | 3.24651i | ||||
\(795\) | −13.9178 | + | 4.72173i | −0.493613 | + | 0.167463i | ||||
\(796\) | 54.1161 | − | 39.3176i | 1.91809 | − | 1.39358i | ||||
\(797\) | 15.2582 | + | 4.95768i | 0.540472 | + | 0.175610i | 0.566516 | − | 0.824051i | \(-0.308291\pi\) |
−0.0260440 | + | 0.999661i | \(0.508291\pi\) | |||||||
\(798\) | 26.4984 | + | 35.4987i | 0.938034 | + | 1.25664i | ||||
\(799\) | −4.83243 | − | 6.65127i | −0.170959 | − | 0.235305i | ||||
\(800\) | 89.9073 | + | 65.3215i | 3.17870 | + | 2.30946i | ||||
\(801\) | 12.7571 | + | 16.6374i | 0.450749 | + | 0.587855i | ||||
\(802\) | 75.6831i | 2.67246i | ||||||||
\(803\) | −2.44382 | − | 9.92213i | −0.0862407 | − | 0.350144i | ||||
\(804\) | −47.4077 | + | 67.0553i | −1.67194 | + | 2.36486i | ||||
\(805\) | −6.77547 | + | 2.20148i | −0.238804 | + | 0.0775921i | ||||
\(806\) | −5.46072 | + | 7.51604i | −0.192346 | + | 0.264741i | ||||
\(807\) | 0.520513 | − | 0.00672249i | 0.0183229 | − | 0.000236643i | ||||
\(808\) | −27.9760 | + | 86.1012i | −0.984191 | + | 3.02903i | ||||
\(809\) | −2.97589 | + | 9.15885i | −0.104627 | + | 0.322008i | −0.989643 | − | 0.143553i | \(-0.954147\pi\) |
0.885016 | + | 0.465561i | \(0.154147\pi\) | |||||||
\(810\) | −28.8899 | − | 7.76277i | −1.01509 | − | 0.272756i | ||||
\(811\) | 2.08249 | − | 2.86630i | 0.0731261 | − | 0.100649i | −0.770887 | − | 0.636972i | \(-0.780187\pi\) |
0.844013 | + | 0.536322i | \(0.180187\pi\) | |||||||
\(812\) | 48.3753 | − | 15.7181i | 1.69764 | − | 0.551597i | ||||
\(813\) | 13.9412 | + | 9.85637i | 0.488941 | + | 0.345678i | ||||
\(814\) | −55.0502 | − | 88.6604i | −1.92951 | − | 3.10755i | ||||
\(815\) | − | 4.32030i | − | 0.151333i | ||||||
\(816\) | 20.9091 | + | 6.49647i | 0.731965 | + | 0.227422i | ||||
\(817\) | 2.26829 | + | 1.64801i | 0.0793574 | + | 0.0576565i | ||||
\(818\) | −10.0702 | − | 13.8605i | −0.352097 | − | 0.484620i | ||||
\(819\) | −5.94750 | + | 0.153651i | −0.207822 | + | 0.00536900i | ||||
\(820\) | 11.2388 | + | 3.65171i | 0.392477 | + | 0.127523i | ||||
\(821\) | −41.3062 | + | 30.0107i | −1.44160 | + | 1.04738i | −0.453891 | + | 0.891057i | \(0.649964\pi\) |
−0.987706 | + | 0.156324i | \(0.950036\pi\) | |||||||
\(822\) | 7.22797 | + | 21.3052i | 0.252104 | + | 0.743104i | ||||
\(823\) | 6.57892 | + | 20.2478i | 0.229327 | + | 0.705795i | 0.997823 | + | 0.0659416i | \(0.0210051\pi\) |
−0.768497 | + | 0.639854i | \(0.778995\pi\) | |||||||
\(824\) | 58.0392 | 2.02189 | ||||||||
\(825\) | 15.9616 | + | 13.1220i | 0.555711 | + | 0.456848i | ||||
\(826\) | −37.9676 | −1.32106 | ||||||||
\(827\) | 7.63837 | + | 23.5085i | 0.265612 | + | 0.817470i | 0.991552 | + | 0.129712i | \(0.0414052\pi\) |
−0.725940 | + | 0.687758i | \(0.758595\pi\) | |||||||
\(828\) | 51.2400 | + | 15.1976i | 1.78071 | + | 0.528152i | ||||
\(829\) | −3.05240 | + | 2.21770i | −0.106014 | + | 0.0770239i | −0.639529 | − | 0.768767i | \(-0.720871\pi\) |
0.533515 | + | 0.845791i | \(0.320871\pi\) | |||||||
\(830\) | −15.4237 | − | 5.01146i | −0.535364 | − | 0.173950i | ||||
\(831\) | −15.6535 | + | 11.6847i | −0.543014 | + | 0.405339i | ||||
\(832\) | 28.9073 | + | 39.7875i | 1.00218 | + | 1.37938i | ||||
\(833\) | −1.67210 | − | 1.21485i | −0.0579349 | − | 0.0420922i | ||||
\(834\) | −0.494069 | + | 1.59018i | −0.0171082 | + | 0.0550633i | ||||
\(835\) | 23.4832i | 0.812669i | ||||||||
\(836\) | 33.7787 | − | 82.9233i | 1.16826 | − | 2.86796i | ||||
\(837\) | 16.5548 | + | 4.67834i | 0.572216 | + | 0.161707i | ||||
\(838\) | −48.4235 | + | 15.7337i | −1.67276 | + | 0.543513i | ||||
\(839\) | 5.29489 | − | 7.28780i | 0.182800 | − | 0.251603i | −0.707776 | − | 0.706437i | \(-0.750301\pi\) |
0.890576 | + | 0.454834i | \(0.150301\pi\) | |||||||
\(840\) | 0.571236 | + | 44.2300i | 0.0197095 | + | 1.52608i | ||||
\(841\) | −3.07049 | + | 9.44999i | −0.105879 | + | 0.325862i | ||||
\(842\) | −11.8016 | + | 36.3216i | −0.406710 | + | 1.25173i | ||||
\(843\) | 0.298530 | + | 23.1148i | 0.0102819 | + | 0.796114i | ||||
\(844\) | −58.7129 | + | 80.8113i | −2.02098 | + | 2.78164i | ||||
\(845\) | 1.12653 | − | 0.366031i | 0.0387537 | − | 0.0125918i | ||||
\(846\) | −96.8265 | + | 34.2498i | −3.32896 | + | 1.17753i | ||||
\(847\) | 3.15922 | − | 21.5848i | 0.108552 | − | 0.741662i | ||||
\(848\) | − | 134.380i | − | 4.61464i | ||||||
\(849\) | 5.93310 | − | 19.0959i | 0.203623 | − | 0.655368i | ||||
\(850\) | 5.50275 | + | 3.99798i | 0.188743 | + | 0.137130i | ||||
\(851\) | −19.9891 | − | 27.5127i | −0.685219 | − | 0.943123i | ||||
\(852\) | 19.2795 | − | 14.3914i | 0.660506 | − | 0.493043i | ||||
\(853\) | −14.9217 | − | 4.84835i | −0.510909 | − | 0.166004i | 0.0422066 | − | 0.999109i | \(-0.486561\pi\) |
−0.553116 | + | 0.833104i | \(0.686561\pi\) | |||||||
\(854\) | −21.9281 | + | 15.9317i | −0.750363 | + | 0.545170i | ||||
\(855\) | −4.64380 | + | 15.6570i | −0.158815 | + | 0.535459i | ||||
\(856\) | 0.886220 | + | 2.72751i | 0.0302904 | + | 0.0932242i | ||||
\(857\) | −10.7828 | −0.368333 | −0.184167 | − | 0.982895i | \(-0.558959\pi\) | ||||
−0.184167 | + | 0.982895i | \(0.558959\pi\) | |||||||
\(858\) | 8.67937 | + | 13.5838i | 0.296309 | + | 0.463744i | ||||
\(859\) | 29.1060 | 0.993084 | 0.496542 | − | 0.868013i | \(-0.334603\pi\) | ||||
0.496542 | + | 0.868013i | \(0.334603\pi\) | |||||||
\(860\) | 1.31176 | + | 4.03718i | 0.0447306 | + | 0.137667i | ||||
\(861\) | −1.87420 | − | 5.52440i | −0.0638725 | − | 0.188271i | ||||
\(862\) | −7.22150 | + | 5.24673i | −0.245965 | + | 0.178704i | ||||
\(863\) | −2.14526 | − | 0.697036i | −0.0730254 | − | 0.0237274i | 0.272276 | − | 0.962219i | \(-0.412223\pi\) |
−0.345302 | + | 0.938492i | \(0.612223\pi\) | |||||||
\(864\) | 89.2616 | − | 133.437i | 3.03674 | − | 4.53963i | ||||
\(865\) | 11.2494 | + | 15.4834i | 0.382490 | + | 0.526452i | ||||
\(866\) | 29.4209 | + | 21.3756i | 0.999764 | + | 0.726371i | ||||
\(867\) | −27.3678 | − | 8.50319i | −0.929458 | − | 0.288783i | ||||
\(868\) | − | 38.5691i | − | 1.30912i | ||||||
\(869\) | −19.2089 | − | 1.39829i | −0.651616 | − | 0.0474336i | ||||
\(870\) | 20.5250 | + | 14.5110i | 0.695863 | + | 0.491970i | ||||
\(871\) | −7.67618 | + | 2.49414i | −0.260097 | + | 0.0845108i | ||||
\(872\) | 105.022 | − | 144.551i | 3.55650 | − | 4.89510i | ||||
\(873\) | −16.5873 | − | 11.4087i | −0.561396 | − | 0.386127i | ||||
\(874\) | 12.0862 | − | 37.1975i | 0.408822 | − | 1.25822i | ||||
\(875\) | −6.24051 | + | 19.2063i | −0.210968 | + | 0.649292i | ||||
\(876\) | −31.3457 | + | 0.404834i | −1.05907 | + | 0.0136781i | ||||
\(877\) | 22.2075 | − | 30.5660i | 0.749893 | − | 1.03214i | −0.248095 | − | 0.968736i | \(-0.579804\pi\) |
0.997988 | − | 0.0634035i | \(-0.0201955\pi\) | |||||||
\(878\) | 6.83457 | − | 2.22069i | 0.230656 | − | 0.0749445i | ||||
\(879\) | 30.0056 | − | 42.4411i | 1.01206 | − | 1.43150i | ||||
\(880\) | 62.6079 | − | 38.8739i | 2.11051 | − | 1.31044i | ||||
\(881\) | 24.8997i | 0.838892i | 0.907780 | + | 0.419446i | \(0.137776\pi\) | ||||
−0.907780 | + | 0.419446i | \(0.862224\pi\) | |||||||
\(882\) | −20.4897 | + | 15.7109i | −0.689924 | + | 0.529012i | ||||
\(883\) | −2.98942 | − | 2.17194i | −0.100602 | − | 0.0730915i | 0.536347 | − | 0.843998i | \(-0.319804\pi\) |
−0.636949 | + | 0.770906i | \(0.719804\pi\) | |||||||
\(884\) | 2.32678 | + | 3.20254i | 0.0782581 | + | 0.107713i | ||||
\(885\) | −8.37298 | − | 11.2169i | −0.281455 | − | 0.377052i | ||||
\(886\) | 89.6278 | + | 29.1218i | 3.01110 | + | 0.978367i | ||||
\(887\) | −3.46081 | + | 2.51443i | −0.116203 | + | 0.0844262i | −0.644369 | − | 0.764715i | \(-0.722880\pi\) |
0.528166 | + | 0.849141i | \(0.322880\pi\) | |||||||
\(888\) | −199.958 | + | 67.8375i | −6.71016 | + | 2.27648i | ||||
\(889\) | −6.72010 | − | 20.6823i | −0.225385 | − | 0.693663i | ||||
\(890\) | 23.2286 | 0.778624 | ||||||||
\(891\) | 18.0486 | − | 23.7750i | 0.604650 | − | 0.796491i | ||||
\(892\) | 145.070 | 4.85729 | ||||||||
\(893\) | 17.3264 | + | 53.3253i | 0.579807 | + | 1.78446i | ||||
\(894\) | −47.0170 | + | 15.9509i | −1.57248 | + | 0.533478i | ||||
\(895\) | 3.96340 | − | 2.87958i | 0.132482 | − | 0.0962537i | ||||
\(896\) | −143.746 | − | 46.7058i | −4.80221 | − | 1.56033i | ||||
\(897\) | 3.14221 | + | 4.20947i | 0.104915 | + | 0.140550i | ||||
\(898\) | −19.1806 | − | 26.3998i | −0.640065 | − | 0.880974i | ||||
\(899\) | −11.6946 | − | 8.49664i | −0.390038 | − | 0.283379i | ||||
\(900\) | 50.3033 | − | 38.5710i | 1.67678 | − | 1.28570i | ||||
\(901\) | − | 4.82738i | − | 0.160823i | ||||||
\(902\) | −10.1945 | + | 12.0792i | −0.339439 | + | 0.402192i | ||||
\(903\) | 1.20974 | − | 1.71110i | 0.0402576 | − | 0.0569419i | ||||
\(904\) | 60.0099 | − | 19.4984i | 1.99590 | − | 0.648508i | ||||
\(905\) | −8.26135 | + | 11.3708i | −0.274617 | + | 0.377977i | ||||
\(906\) | −92.0274 | + | 1.18855i | −3.05740 | + | 0.0394868i | ||||
\(907\) | 9.75992 | − | 30.0379i | 0.324073 | − | 0.997393i | −0.647785 | − | 0.761824i | \(-0.724304\pi\) |
0.971857 | − | 0.235570i | \(-0.0756957\pi\) | |||||||
\(908\) | −21.4943 | + | 66.1525i | −0.713312 | + | 2.19535i | ||||
\(909\) | 20.5832 | + | 14.1571i | 0.682703 | + | 0.469562i | ||||
\(910\) | −3.87452 | + | 5.33282i | −0.128439 | + | 0.176781i | ||||
\(911\) | −26.1415 | + | 8.49390i | −0.866108 | + | 0.281416i | −0.708177 | − | 0.706035i | \(-0.750482\pi\) |
−0.157931 | + | 0.987450i | \(0.550482\pi\) | |||||||
\(912\) | −121.928 | − | 86.2025i | −4.03745 | − | 2.85445i | ||||
\(913\) | 10.4370 | − | 12.3665i | 0.345415 | − | 0.409273i | ||||
\(914\) | 47.7750i | 1.58026i | ||||||||
\(915\) | −9.54253 | − | 2.96487i | −0.315466 | − | 0.0980156i | ||||
\(916\) | 50.9448 | + | 37.0135i | 1.68326 | + | 1.22296i | ||||
\(917\) | 17.5090 | + | 24.0991i | 0.578198 | + | 0.795822i | ||||
\(918\) | 5.46323 | − | 8.16699i | 0.180313 | − | 0.269551i | ||||
\(919\) | −4.36796 | − | 1.41924i | −0.144086 | − | 0.0468163i | 0.236086 | − | 0.971732i | \(-0.424135\pi\) |
−0.380172 | + | 0.924916i | \(0.624135\pi\) | |||||||
\(920\) | 31.5960 | − | 22.9559i | 1.04169 | − | 0.756832i | ||||
\(921\) | 14.9686 | + | 44.1215i | 0.493232 | + | 1.45385i | ||||
\(922\) | 7.50294 | + | 23.0917i | 0.247096 | + | 0.760483i | ||||
\(923\) | 2.36457 | 0.0778309 | ||||||||
\(924\) | −62.2984 | − | 24.4439i | −2.04947 | − | 0.804147i | ||||
\(925\) | −40.3339 | −1.32617 | ||||||||
\(926\) | 27.7307 | + | 85.3462i | 0.911286 | + | 2.80465i | ||||
\(927\) | 4.55406 | − | 15.3545i | 0.149575 | − | 0.504307i | ||||
\(928\) | −109.135 | + | 79.2910i | −3.58252 | + | 2.60286i | ||||
\(929\) | −6.64473 | − | 2.15900i | −0.218007 | − | 0.0708346i | 0.197977 | − | 0.980207i | \(-0.436563\pi\) |
−0.415984 | + | 0.909372i | \(0.636563\pi\) | |||||||
\(930\) | 15.2740 | − | 11.4015i | 0.500856 | − | 0.373870i | ||||
\(931\) | 8.28522 | + | 11.4036i | 0.271537 | + | 0.373739i | ||||
\(932\) | 120.595 | + | 87.6177i | 3.95023 | + | 2.87001i | ||||
\(933\) | −11.9948 | + | 38.6056i | −0.392692 | + | 1.26389i | ||||
\(934\) | − | 107.001i | − | 3.50118i | ||||||
\(935\) | 2.24908 | − | 1.39647i | 0.0735527 | − | 0.0456696i | ||||
\(936\) | 30.7483 | − | 10.8764i | 1.00504 | − | 0.355506i | ||||
\(937\) | 23.5075 | − | 7.63806i | 0.767958 | − | 0.249525i | 0.101267 | − | 0.994859i | \(-0.467710\pi\) |
0.666690 | + | 0.745335i | \(0.267710\pi\) | |||||||
\(938\) | 26.4011 | − | 36.3379i | 0.862025 | − | 1.18648i | ||||
\(939\) | −0.619494 | − | 47.9665i | −0.0202164 | − | 1.56533i | ||||
\(940\) | −26.2325 | + | 80.7354i | −0.855611 | + | 2.63330i | ||||
\(941\) | 2.62001 | − | 8.06357i | 0.0854099 | − | 0.262865i | −0.899226 | − | 0.437484i | \(-0.855870\pi\) |
0.984636 | + | 0.174620i | \(0.0558696\pi\) | |||||||
\(942\) | 0.382673 | + | 29.6298i | 0.0124682 | + | 0.965391i | ||||
\(943\) | −3.02748 | + | 4.16697i | −0.0985884 | + | 0.135695i | ||||
\(944\) | 121.720 | − | 39.5492i | 3.96164 | − | 1.28722i | ||||
\(945\) | 11.7460 | + | 3.31940i | 0.382098 | + | 0.107980i | ||||
\(946\) | −5.66284 | − | 0.412220i | −0.184115 | − | 0.0134024i | ||||
\(947\) | − | 48.9000i | − | 1.58904i | −0.607239 | − | 0.794519i | \(-0.707723\pi\) | ||
0.607239 | − | 0.794519i | \(-0.292277\pi\) | |||||||
\(948\) | −17.5308 | + | 56.4233i | −0.569373 | + | 1.83254i | ||||
\(949\) | −2.49262 | − | 1.81099i | −0.0809137 | − | 0.0587873i | ||||
\(950\) | −27.2660 | − | 37.5284i | −0.884625 | − | 1.21758i | ||||
\(951\) | −25.1189 | + | 18.7503i | −0.814537 | + | 0.608021i | ||||
\(952\) | −13.8180 | − | 4.48973i | −0.447843 | − | 0.145513i | ||||
\(953\) | 13.4117 | − | 9.74418i | 0.434448 | − | 0.315645i | −0.348977 | − | 0.937131i | \(-0.613471\pi\) |
0.783425 | + | 0.621486i | \(0.213471\pi\) | |||||||
\(954\) | −57.8162 | − | 17.1480i | −1.87187 | − | 0.555188i | ||||
\(955\) | −1.07266 | − | 3.30130i | −0.0347103 | − | 0.106827i | ||||
\(956\) | −93.7170 | −3.03102 | ||||||||
\(957\) | −21.1358 | + | 13.5047i | −0.683225 | + | 0.436546i | ||||
\(958\) | 62.2497 | 2.01120 | ||||||||
\(959\) | −2.83671 | − | 8.73050i | −0.0916022 | − | 0.281923i | ||||
\(960\) | −32.4160 | − | 95.5497i | −1.04622 | − | 3.08385i | ||||
\(961\) | 16.2119 | − | 11.7786i | 0.522964 | − | 0.379956i | ||||
\(962\) | −29.9259 | − | 9.72352i | −0.964851 | − | 0.313499i | ||||
\(963\) | 0.791109 | − | 0.0204380i | 0.0254931 | − | 0.000658604i | ||||
\(964\) | −63.6403 | − | 87.5934i | −2.04972 | − | 2.82119i | ||||
\(965\) | 10.1987 | + | 7.40980i | 0.328308 | + | 0.238530i | ||||
\(966\) | −27.9160 | − | 8.67353i | −0.898183 | − | 0.279066i | ||||
\(967\) | 16.0234i | 0.515278i | 0.966241 | + | 0.257639i | \(0.0829445\pi\) | ||||
−0.966241 | + | 0.257639i | \(0.917056\pi\) | |||||||
\(968\) | 20.0942 | + | 117.889i | 0.645853 | + | 3.78910i | ||||
\(969\) | −4.38005 | − | 3.09667i | −0.140708 | − | 0.0994794i | ||||
\(970\) | −21.2136 | + | 6.89271i | −0.681127 | + | 0.221311i | ||||
\(971\) | 0.793933 | − | 1.09275i | 0.0254785 | − | 0.0350682i | −0.796088 | − | 0.605181i | \(-0.793101\pi\) |
0.821566 | + | 0.570113i | \(0.193101\pi\) | |||||||
\(972\) | −58.4924 | − | 70.4552i | −1.87615 | − | 2.25985i | ||||
\(973\) | 0.209957 | − | 0.646181i | 0.00673091 | − | 0.0207156i | ||||
\(974\) | 17.7885 | − | 54.7473i | 0.569980 | − | 1.75422i | ||||
\(975\) | 6.22959 | − | 0.0804561i | 0.199507 | − | 0.00257666i | ||||
\(976\) | 53.7035 | − | 73.9166i | 1.71901 | − | 2.36601i | ||||
\(977\) | −45.2435 | + | 14.7005i | −1.44747 | + | 0.470311i | −0.924217 | − | 0.381867i | \(-0.875281\pi\) |
−0.523252 | + | 0.852178i | \(0.675281\pi\) | |||||||
\(978\) | 10.2338 | − | 14.4751i | 0.327242 | − | 0.462864i | ||||
\(979\) | −8.74393 | + | 21.4655i | −0.279457 | + | 0.686040i | ||||
\(980\) | 21.3411i | 0.681715i | ||||||||
\(981\) | −30.0008 | − | 39.1262i | −0.957850 | − | 1.24920i | ||||
\(982\) | 41.1074 | + | 29.8663i | 1.31179 | + | 0.953070i | ||||
\(983\) | 5.05417 | + | 6.95646i | 0.161203 | + | 0.221877i | 0.881976 | − | 0.471294i | \(-0.156213\pi\) |
−0.720773 | + | 0.693171i | \(0.756213\pi\) | |||||||
\(984\) | 19.1301 | + | 25.6277i | 0.609846 | + | 0.816982i | ||||
\(985\) | −6.30339 | − | 2.04809i | −0.200843 | − | 0.0652577i | ||||
\(986\) | −6.67956 | + | 4.85298i | −0.212720 | + | 0.154550i | ||||
\(987\) | 39.6852 | − | 13.4635i | 1.26319 | − | 0.428549i | ||||
\(988\) | −8.34256 | − | 25.6758i | −0.265412 | − | 0.816855i | ||||
\(989\) | −1.85021 | −0.0588331 | ||||||||
\(990\) | −8.73594 | − | 31.8972i | −0.277646 | − | 1.01376i | ||||
\(991\) | 27.8914 | 0.886000 | 0.443000 | − | 0.896522i | \(-0.353914\pi\) | ||||
0.443000 | + | 0.896522i | \(0.353914\pi\) | |||||||
\(992\) | 31.6089 | + | 97.2822i | 1.00358 | + | 3.08871i | ||||
\(993\) | 33.1113 | − | 11.2333i | 1.05076 | − | 0.356478i | ||||
\(994\) | −10.6457 | + | 7.73455i | −0.337661 | + | 0.245325i | ||||
\(995\) | −12.8279 | − | 4.16802i | −0.406671 | − | 0.132135i | ||||
\(996\) | −29.6956 | − | 39.7818i | −0.940941 | − | 1.26053i | ||||
\(997\) | −31.8390 | − | 43.8227i | −1.00835 | − | 1.38788i | −0.920057 | − | 0.391784i | \(-0.871858\pi\) |
−0.0882949 | − | 0.996094i | \(-0.528142\pi\) | |||||||
\(998\) | −45.7547 | − | 33.2427i | −1.44834 | − | 1.05228i | ||||
\(999\) | 2.25686 | + | 58.2225i | 0.0714039 | + | 1.84208i |
(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 | 429.2.x.a.248.1 | ✓ | 192 | |
3.2 | odd | 2 | inner | 429.2.x.a.248.48 | yes | 192 | |
11.2 | odd | 10 | inner | 429.2.x.a.365.48 | yes | 192 | |
33.2 | even | 10 | inner | 429.2.x.a.365.1 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.x.a.248.1 | ✓ | 192 | 1.1 | even | 1 | trivial | |
429.2.x.a.248.48 | yes | 192 | 3.2 | odd | 2 | inner | |
429.2.x.a.365.1 | yes | 192 | 33.2 | even | 10 | inner | |
429.2.x.a.365.48 | yes | 192 | 11.2 | odd | 10 | inner |