Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [350,2,Mod(11,350)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(350, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([24, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("350.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 350 = 2 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 350.q (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.79476407074\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | \(\Q(\zeta_{15})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + x^{5} - x^{4} + x^{3} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 11.1 | ||
Root | \(0.913545 + 0.406737i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 350.11 |
Dual form | 350.2.q.a.191.1 |
$q$-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 \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.913545 | − | 0.406737i | −0.645974 | − | 0.287606i | ||||
\(3\) | 0.413545 | + | 0.459289i | 0.238761 | + | 0.265170i | 0.850602 | − | 0.525810i | \(-0.176238\pi\) |
−0.611842 | + | 0.790980i | \(0.709571\pi\) | |||||||
\(4\) | 0.669131 | + | 0.743145i | 0.334565 | + | 0.371572i | ||||
\(5\) | 1.11803 | + | 1.93649i | 0.500000 | + | 0.866025i | ||||
\(6\) | −0.190983 | − | 0.587785i | −0.0779685 | − | 0.239962i | ||||
\(7\) | −0.500000 | − | 2.59808i | −0.188982 | − | 0.981981i | ||||
\(8\) | −0.309017 | − | 0.951057i | −0.109254 | − | 0.336249i | ||||
\(9\) | 0.273659 | − | 2.60369i | 0.0912197 | − | 0.867897i | ||||
\(10\) | −0.233733 | − | 2.22382i | −0.0739128 | − | 0.703233i | ||||
\(11\) | −0.402863 | − | 3.83299i | −0.121468 | − | 1.15569i | −0.870159 | − | 0.492771i | \(-0.835984\pi\) |
0.748691 | − | 0.662919i | \(-0.230683\pi\) | |||||||
\(12\) | −0.0646021 | + | 0.614648i | −0.0186490 | + | 0.177434i | ||||
\(13\) | 4.73607 | + | 3.44095i | 1.31355 | + | 0.954349i | 0.999989 | + | 0.00478088i | \(0.00152181\pi\) |
0.313560 | + | 0.949568i | \(0.398478\pi\) | |||||||
\(14\) | −0.599960 | + | 2.57683i | −0.160346 | + | 0.688687i | ||||
\(15\) | −0.427051 | + | 1.31433i | −0.110264 | + | 0.339358i | ||||
\(16\) | −0.104528 | + | 0.994522i | −0.0261321 | + | 0.248630i | ||||
\(17\) | 7.53976 | + | 1.60263i | 1.82866 | + | 0.388694i | 0.988199 | − | 0.153177i | \(-0.0489504\pi\) |
0.840462 | + | 0.541871i | \(0.182284\pi\) | |||||||
\(18\) | −1.30902 | + | 2.26728i | −0.308538 | + | 0.534404i | ||||
\(19\) | −4.01478 | + | 4.45887i | −0.921055 | + | 1.02293i | 0.0786067 | + | 0.996906i | \(0.474953\pi\) |
−0.999661 | + | 0.0260290i | \(0.991714\pi\) | |||||||
\(20\) | −0.690983 | + | 2.12663i | −0.154508 | + | 0.475528i | ||||
\(21\) | 0.986494 | − | 1.30407i | 0.215271 | − | 0.284571i | ||||
\(22\) | −1.19098 | + | 3.66547i | −0.253918 | + | 0.781481i | ||||
\(23\) | 1.34486 | + | 0.598772i | 0.280423 | + | 0.124853i | 0.542129 | − | 0.840295i | \(-0.317618\pi\) |
−0.261706 | + | 0.965148i | \(0.584285\pi\) | |||||||
\(24\) | 0.309017 | − | 0.535233i | 0.0630778 | − | 0.109254i | ||||
\(25\) | −2.50000 | + | 4.33013i | −0.500000 | + | 0.866025i | ||||
\(26\) | −2.92705 | − | 5.06980i | −0.574042 | − | 0.994270i | ||||
\(27\) | 2.80902 | − | 2.04087i | 0.540596 | − | 0.392766i | ||||
\(28\) | 1.59618 | − | 2.11002i | 0.301650 | − | 0.398757i | ||||
\(29\) | 1.07295 | − | 3.30220i | 0.199242 | − | 0.613203i | −0.800659 | − | 0.599120i | \(-0.795517\pi\) |
0.999901 | − | 0.0140826i | \(-0.00448279\pi\) | |||||||
\(30\) | 0.924716 | − | 1.02700i | 0.168829 | − | 0.187504i | ||||
\(31\) | 4.74803 | + | 1.00922i | 0.852771 | + | 0.181262i | 0.613504 | − | 0.789692i | \(-0.289759\pi\) |
0.239267 | + | 0.970954i | \(0.423093\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 1.59385 | − | 1.77015i | 0.277453 | − | 0.308143i | ||||
\(34\) | −6.23607 | − | 4.53077i | −1.06948 | − | 0.777020i | ||||
\(35\) | 4.47214 | − | 3.87298i | 0.755929 | − | 0.654654i | ||||
\(36\) | 2.11803 | − | 1.53884i | 0.353006 | − | 0.256474i | ||||
\(37\) | −0.0399263 | + | 0.379874i | −0.00656385 | + | 0.0624508i | −0.997313 | − | 0.0732515i | \(-0.976662\pi\) |
0.990750 | + | 0.135702i | \(0.0433291\pi\) | |||||||
\(38\) | 5.48127 | − | 2.44042i | 0.889180 | − | 0.395888i | ||||
\(39\) | 0.378188 | + | 3.59821i | 0.0605585 | + | 0.576175i | ||||
\(40\) | 1.49622 | − | 1.66172i | 0.236573 | − | 0.262741i | ||||
\(41\) | −7.59017 | − | 5.51458i | −1.18539 | − | 0.861233i | −0.192616 | − | 0.981274i | \(-0.561697\pi\) |
−0.992769 | + | 0.120041i | \(0.961697\pi\) | |||||||
\(42\) | −1.43162 | + | 0.790081i | −0.220904 | + | 0.121912i | ||||
\(43\) | 2.23607 | 0.340997 | 0.170499 | − | 0.985358i | \(-0.445462\pi\) | ||||
0.170499 | + | 0.985358i | \(0.445462\pi\) | |||||||
\(44\) | 2.57890 | − | 2.86416i | 0.388783 | − | 0.431788i | ||||
\(45\) | 5.34799 | − | 2.38108i | 0.797231 | − | 0.354950i | ||||
\(46\) | −0.985051 | − | 1.09401i | −0.145238 | − | 0.161303i | ||||
\(47\) | −9.03424 | + | 1.92029i | −1.31778 | + | 0.280103i | −0.812554 | − | 0.582885i | \(-0.801924\pi\) |
−0.505225 | + | 0.862988i | \(0.668590\pi\) | |||||||
\(48\) | −0.500000 | + | 0.363271i | −0.0721688 | + | 0.0524337i | ||||
\(49\) | −6.50000 | + | 2.59808i | −0.928571 | + | 0.371154i | ||||
\(50\) | 4.04508 | − | 2.93893i | 0.572061 | − | 0.415627i | ||||
\(51\) | 2.38197 | + | 4.12569i | 0.333542 | + | 0.577712i | ||||
\(52\) | 0.611920 | + | 5.82203i | 0.0848581 | + | 0.807371i | ||||
\(53\) | −0.157960 | − | 0.175433i | −0.0216975 | − | 0.0240975i | 0.732198 | − | 0.681091i | \(-0.238494\pi\) |
−0.753896 | + | 0.656994i | \(0.771828\pi\) | |||||||
\(54\) | −3.39626 | + | 0.721898i | −0.462173 | + | 0.0982378i | ||||
\(55\) | 6.97214 | − | 5.06555i | 0.940123 | − | 0.683039i | ||||
\(56\) | −2.31641 | + | 1.27838i | −0.309543 | + | 0.170830i | ||||
\(57\) | −3.70820 | −0.491164 | ||||||||
\(58\) | −2.32331 | + | 2.58030i | −0.305066 | + | 0.338810i | ||||
\(59\) | −4.86576 | + | 2.16638i | −0.633468 | + | 0.282038i | −0.698242 | − | 0.715862i | \(-0.746034\pi\) |
0.0647739 | + | 0.997900i | \(0.479367\pi\) | |||||||
\(60\) | −1.26249 | + | 0.562096i | −0.162987 | + | 0.0725663i | ||||
\(61\) | 7.52402 | + | 3.34991i | 0.963352 | + | 0.428912i | 0.827282 | − | 0.561787i | \(-0.189886\pi\) |
0.136070 | + | 0.990699i | \(0.456553\pi\) | |||||||
\(62\) | −3.92705 | − | 2.85317i | −0.498736 | − | 0.362353i | ||||
\(63\) | −6.90142 | + | 0.590859i | −0.869497 | + | 0.0744412i | ||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | −1.36830 | + | 13.0185i | −0.169716 | + | 1.61474i | ||||
\(66\) | −2.17603 | + | 0.968833i | −0.267851 | + | 0.119255i | ||||
\(67\) | 0.978148 | + | 0.207912i | 0.119500 | + | 0.0254005i | 0.267273 | − | 0.963621i | \(-0.413877\pi\) |
−0.147774 | + | 0.989021i | \(0.547211\pi\) | |||||||
\(68\) | 3.85410 | + | 6.67550i | 0.467379 | + | 0.809523i | ||||
\(69\) | 0.281153 | + | 0.865300i | 0.0338468 | + | 0.104170i | ||||
\(70\) | −5.66078 | + | 1.71916i | −0.676593 | + | 0.205479i | ||||
\(71\) | 4.92705 | − | 15.1639i | 0.584733 | − | 1.79962i | −0.0156051 | − | 0.999878i | \(-0.504967\pi\) |
0.600338 | − | 0.799746i | \(-0.295033\pi\) | |||||||
\(72\) | −2.56082 | + | 0.544320i | −0.301796 | + | 0.0641487i | ||||
\(73\) | −0.562569 | − | 5.35248i | −0.0658437 | − | 0.626461i | −0.976829 | − | 0.214022i | \(-0.931344\pi\) |
0.910985 | − | 0.412439i | \(-0.135323\pi\) | |||||||
\(74\) | 0.190983 | − | 0.330792i | 0.0222013 | − | 0.0384538i | ||||
\(75\) | −3.02264 | + | 0.642482i | −0.349025 | + | 0.0741875i | ||||
\(76\) | −6.00000 | −0.688247 | ||||||||
\(77\) | −9.75697 | + | 2.96316i | −1.11191 | + | 0.337684i | ||||
\(78\) | 1.11803 | − | 3.44095i | 0.126592 | − | 0.389611i | ||||
\(79\) | −8.74882 | + | 1.85962i | −0.984319 | + | 0.209223i | −0.671836 | − | 0.740700i | \(-0.734494\pi\) |
−0.312483 | + | 0.949923i | \(0.601161\pi\) | |||||||
\(80\) | −2.04275 | + | 0.909491i | −0.228386 | + | 0.101684i | ||||
\(81\) | −5.58347 | − | 1.18680i | −0.620385 | − | 0.131867i | ||||
\(82\) | 4.69098 | + | 8.12502i | 0.518032 | + | 0.897258i | ||||
\(83\) | −1.78115 | − | 5.48183i | −0.195507 | − | 0.601708i | −0.999970 | − | 0.00770622i | \(-0.997547\pi\) |
0.804463 | − | 0.594002i | \(-0.202453\pi\) | |||||||
\(84\) | 1.62920 | − | 0.139483i | 0.177761 | − | 0.0152188i | ||||
\(85\) | 5.32624 | + | 16.3925i | 0.577712 | + | 1.77801i | ||||
\(86\) | −2.04275 | − | 0.909491i | −0.220275 | − | 0.0980729i | ||||
\(87\) | 1.96038 | − | 0.872815i | 0.210174 | − | 0.0935756i | ||||
\(88\) | −3.52090 | + | 1.56760i | −0.375329 | + | 0.167107i | ||||
\(89\) | −5.39890 | − | 2.40374i | −0.572282 | − | 0.254796i | 0.100129 | − | 0.994974i | \(-0.468075\pi\) |
−0.672411 | + | 0.740178i | \(0.734741\pi\) | |||||||
\(90\) | −5.85410 | −0.617077 | ||||||||
\(91\) | 6.57183 | − | 14.0251i | 0.688915 | − | 1.47023i | ||||
\(92\) | 0.454915 | + | 1.40008i | 0.0474282 | + | 0.145969i | ||||
\(93\) | 1.50000 | + | 2.59808i | 0.155543 | + | 0.269408i | ||||
\(94\) | 9.03424 | + | 1.92029i | 0.931810 | + | 0.198062i | ||||
\(95\) | −13.1232 | − | 2.78943i | −1.34641 | − | 0.286189i | ||||
\(96\) | 0.604528 | − | 0.128496i | 0.0616994 | − | 0.0131146i | ||||
\(97\) | −3.47214 | + | 10.6861i | −0.352542 | + | 1.08501i | 0.604879 | + | 0.796317i | \(0.293221\pi\) |
−0.957421 | + | 0.288695i | \(0.906779\pi\) | |||||||
\(98\) | 6.99478 | + | 0.270327i | 0.706579 | + | 0.0273072i | ||||
\(99\) | −10.0902 | −1.01410 | ||||||||
\(100\) | −4.89074 | + | 1.03956i | −0.489074 | + | 0.103956i | ||||
\(101\) | −2.35410 | + | 4.07742i | −0.234242 | + | 0.405719i | −0.959052 | − | 0.283230i | \(-0.908594\pi\) |
0.724810 | + | 0.688949i | \(0.241927\pi\) | |||||||
\(102\) | −0.497966 | − | 4.73783i | −0.0493060 | − | 0.469116i | ||||
\(103\) | −2.87993 | + | 0.612149i | −0.283768 | + | 0.0603168i | −0.347597 | − | 0.937644i | \(-0.613002\pi\) |
0.0638287 | + | 0.997961i | \(0.479669\pi\) | |||||||
\(104\) | 1.80902 | − | 5.56758i | 0.177389 | − | 0.545946i | ||||
\(105\) | 3.62825 | + | 0.452347i | 0.354081 | + | 0.0441446i | ||||
\(106\) | 0.0729490 | + | 0.224514i | 0.00708543 | + | 0.0218067i | ||||
\(107\) | 7.78115 | + | 13.4774i | 0.752232 | + | 1.30290i | 0.946738 | + | 0.322003i | \(0.104356\pi\) |
−0.194506 | + | 0.980901i | \(0.562310\pi\) | |||||||
\(108\) | 3.39626 | + | 0.721898i | 0.326805 | + | 0.0694646i | ||||
\(109\) | −1.12920 | + | 0.502754i | −0.108158 | + | 0.0481551i | −0.460102 | − | 0.887866i | \(-0.652187\pi\) |
0.351944 | + | 0.936021i | \(0.385521\pi\) | |||||||
\(110\) | −8.42971 | + | 1.79179i | −0.803741 | + | 0.170840i | ||||
\(111\) | −0.190983 | + | 0.138757i | −0.0181273 | + | 0.0131703i | ||||
\(112\) | 2.63611 | − | 0.225688i | 0.249089 | − | 0.0213255i | ||||
\(113\) | −5.19098 | − | 3.77147i | −0.488327 | − | 0.354790i | 0.316214 | − | 0.948688i | \(-0.397588\pi\) |
−0.804540 | + | 0.593898i | \(0.797588\pi\) | |||||||
\(114\) | 3.38761 | + | 1.50826i | 0.317279 | + | 0.141262i | ||||
\(115\) | 0.344086 | + | 3.27376i | 0.0320862 | + | 0.305280i | ||||
\(116\) | 3.17195 | − | 1.41224i | 0.294509 | − | 0.131124i | ||||
\(117\) | 10.2553 | − | 11.3896i | 0.948099 | − | 1.05297i | ||||
\(118\) | 5.32624 | 0.490320 | ||||||||
\(119\) | 0.393863 | − | 20.3902i | 0.0361054 | − | 1.86917i | ||||
\(120\) | 1.38197 | 0.126156 | ||||||||
\(121\) | −3.76988 | + | 0.801313i | −0.342716 | + | 0.0728466i | ||||
\(122\) | −5.51101 | − | 6.12059i | −0.498943 | − | 0.554132i | ||||
\(123\) | −0.606095 | − | 5.76661i | −0.0546498 | − | 0.519958i | ||||
\(124\) | 2.42705 | + | 4.20378i | 0.217956 | + | 0.377510i | ||||
\(125\) | −11.1803 | −1.00000 | ||||||||
\(126\) | 6.54508 | + | 2.26728i | 0.583083 | + | 0.201986i | ||||
\(127\) | −7.28115 | + | 5.29007i | −0.646098 | + | 0.469418i | −0.861940 | − | 0.507011i | \(-0.830750\pi\) |
0.215842 | + | 0.976428i | \(0.430750\pi\) | |||||||
\(128\) | 0.978148 | − | 0.207912i | 0.0864569 | − | 0.0183770i | ||||
\(129\) | 0.924716 | + | 1.02700i | 0.0814167 | + | 0.0904224i | ||||
\(130\) | 6.54508 | − | 11.3364i | 0.574042 | − | 0.994270i | ||||
\(131\) | −4.54900 | + | 5.05218i | −0.397448 | + | 0.441411i | −0.908339 | − | 0.418235i | \(-0.862649\pi\) |
0.510891 | + | 0.859646i | \(0.329316\pi\) | |||||||
\(132\) | 2.38197 | 0.207324 | ||||||||
\(133\) | 13.5919 | + | 8.20128i | 1.17856 | + | 0.711141i | ||||
\(134\) | −0.809017 | − | 0.587785i | −0.0698884 | − | 0.0507769i | ||||
\(135\) | 7.09270 | + | 3.15788i | 0.610443 | + | 0.271787i | ||||
\(136\) | −0.805727 | − | 7.66598i | −0.0690905 | − | 0.657352i | ||||
\(137\) | 2.25841 | − | 1.00551i | 0.192949 | − | 0.0859064i | −0.307988 | − | 0.951390i | \(-0.599656\pi\) |
0.500937 | + | 0.865484i | \(0.332989\pi\) | |||||||
\(138\) | 0.0951031 | − | 0.904846i | 0.00809572 | − | 0.0770256i | ||||
\(139\) | −4.85410 | + | 3.52671i | −0.411720 | + | 0.299132i | −0.774298 | − | 0.632822i | \(-0.781897\pi\) |
0.362578 | + | 0.931953i | \(0.381897\pi\) | |||||||
\(140\) | 5.87063 | + | 0.731913i | 0.496159 | + | 0.0618579i | ||||
\(141\) | −4.61803 | − | 3.35520i | −0.388909 | − | 0.282559i | ||||
\(142\) | −10.6688 | + | 11.8489i | −0.895306 | + | 0.994338i | ||||
\(143\) | 11.2812 | − | 19.5395i | 0.943377 | − | 1.63398i | ||||
\(144\) | 2.56082 | + | 0.544320i | 0.213402 | + | 0.0453600i | ||||
\(145\) | 7.59427 | − | 1.61421i | 0.630670 | − | 0.134053i | ||||
\(146\) | −1.66312 | + | 5.11855i | −0.137641 | + | 0.423615i | ||||
\(147\) | −3.88131 | − | 1.91095i | −0.320125 | − | 0.157613i | ||||
\(148\) | −0.309017 | + | 0.224514i | −0.0254010 | + | 0.0184549i | ||||
\(149\) | 2.38197 | + | 4.12569i | 0.195138 | + | 0.337989i | 0.946946 | − | 0.321393i | \(-0.104151\pi\) |
−0.751808 | + | 0.659383i | \(0.770818\pi\) | |||||||
\(150\) | 3.02264 | + | 0.642482i | 0.246798 | + | 0.0524585i | ||||
\(151\) | −8.80902 | + | 15.2577i | −0.716868 | + | 1.24165i | 0.245367 | + | 0.969430i | \(0.421091\pi\) |
−0.962235 | + | 0.272221i | \(0.912242\pi\) | |||||||
\(152\) | 5.48127 | + | 2.44042i | 0.444590 | + | 0.197944i | ||||
\(153\) | 6.23607 | − | 19.1926i | 0.504156 | − | 1.55163i | ||||
\(154\) | 10.1187 | + | 1.26153i | 0.815385 | + | 0.101657i | ||||
\(155\) | 3.35410 | + | 10.3229i | 0.269408 | + | 0.829152i | ||||
\(156\) | −2.42094 | + | 2.68872i | −0.193830 | + | 0.215270i | ||||
\(157\) | 0.690983 | − | 1.19682i | 0.0551464 | − | 0.0955164i | −0.837134 | − | 0.546997i | \(-0.815771\pi\) |
0.892281 | + | 0.451481i | \(0.149104\pi\) | |||||||
\(158\) | 8.74882 | + | 1.85962i | 0.696019 | + | 0.147943i | ||||
\(159\) | 0.0152505 | − | 0.145099i | 0.00120944 | − | 0.0115071i | ||||
\(160\) | 2.23607 | 0.176777 | ||||||||
\(161\) | 0.883223 | − | 3.79344i | 0.0696077 | − | 0.298965i | ||||
\(162\) | 4.61803 | + | 3.35520i | 0.362827 | + | 0.263609i | ||||
\(163\) | 0.214882 | − | 2.04447i | 0.0168309 | − | 0.160135i | −0.982878 | − | 0.184257i | \(-0.941012\pi\) |
0.999709 | + | 0.0241217i | \(0.00767891\pi\) | |||||||
\(164\) | −0.980682 | − | 9.33057i | −0.0765784 | − | 0.728595i | ||||
\(165\) | 5.20985 | + | 1.10739i | 0.405586 | + | 0.0862100i | ||||
\(166\) | −0.602495 | + | 5.73236i | −0.0467627 | + | 0.444917i | ||||
\(167\) | 0.0450850 | + | 0.138757i | 0.00348878 | + | 0.0107374i | 0.952786 | − | 0.303643i | \(-0.0982031\pi\) |
−0.949297 | + | 0.314381i | \(0.898203\pi\) | |||||||
\(168\) | −1.54508 | − | 0.535233i | −0.119206 | − | 0.0412941i | ||||
\(169\) | 6.57295 | + | 20.2295i | 0.505611 | + | 1.55611i | ||||
\(170\) | 1.80166 | − | 17.1416i | 0.138181 | − | 1.31470i | ||||
\(171\) | 10.5108 | + | 11.6735i | 0.803784 | + | 0.892693i | ||||
\(172\) | 1.49622 | + | 1.66172i | 0.114086 | + | 0.126705i | ||||
\(173\) | −8.86889 | − | 3.94868i | −0.674289 | − | 0.300213i | 0.0408804 | − | 0.999164i | \(-0.486984\pi\) |
−0.715169 | + | 0.698951i | \(0.753650\pi\) | |||||||
\(174\) | −2.14590 | −0.162680 | ||||||||
\(175\) | 12.5000 | + | 4.33013i | 0.944911 | + | 0.327327i | ||||
\(176\) | 3.85410 | 0.290514 | ||||||||
\(177\) | −3.00721 | − | 1.33889i | −0.226035 | − | 0.100637i | ||||
\(178\) | 3.95445 | + | 4.39186i | 0.296398 | + | 0.329184i | ||||
\(179\) | −3.85682 | − | 4.28344i | −0.288273 | − | 0.320159i | 0.581563 | − | 0.813502i | \(-0.302442\pi\) |
−0.869835 | + | 0.493343i | \(0.835775\pi\) | |||||||
\(180\) | 5.34799 | + | 2.38108i | 0.398616 | + | 0.177475i | ||||
\(181\) | −0.437694 | − | 1.34708i | −0.0325335 | − | 0.100128i | 0.933471 | − | 0.358653i | \(-0.116764\pi\) |
−0.966005 | + | 0.258525i | \(0.916764\pi\) | |||||||
\(182\) | −11.7082 | + | 10.1396i | −0.867870 | + | 0.751597i | ||||
\(183\) | 1.57295 | + | 4.84104i | 0.116276 | + | 0.357860i | ||||
\(184\) | 0.153880 | − | 1.46407i | 0.0113442 | − | 0.107933i | ||||
\(185\) | −0.780261 | + | 0.347395i | −0.0573659 | + | 0.0255410i | ||||
\(186\) | −0.313585 | − | 2.98357i | −0.0229932 | − | 0.218766i | ||||
\(187\) | 3.10535 | − | 29.5455i | 0.227086 | − | 2.16058i | ||||
\(188\) | −7.47214 | − | 5.42882i | −0.544962 | − | 0.395938i | ||||
\(189\) | −6.70685 | − | 6.27761i | −0.487851 | − | 0.456629i | ||||
\(190\) | 10.8541 | + | 7.88597i | 0.787439 | + | 0.572108i | ||||
\(191\) | 1.64778 | − | 15.6776i | 0.119229 | − | 1.13439i | −0.757309 | − | 0.653057i | \(-0.773486\pi\) |
0.876538 | − | 0.481333i | \(-0.159847\pi\) | |||||||
\(192\) | −0.604528 | − | 0.128496i | −0.0436281 | − | 0.00927344i | ||||
\(193\) | −11.8992 | + | 20.6100i | −0.856522 | + | 1.48354i | 0.0187034 | + | 0.999825i | \(0.494046\pi\) |
−0.875226 | + | 0.483715i | \(0.839287\pi\) | |||||||
\(194\) | 7.51840 | − | 8.35003i | 0.539789 | − | 0.599497i | ||||
\(195\) | −6.54508 | + | 4.75528i | −0.468703 | + | 0.340533i | ||||
\(196\) | −6.28010 | − | 3.09199i | −0.448578 | − | 0.220856i | ||||
\(197\) | 7.37132 | − | 22.6866i | 0.525185 | − | 1.61635i | −0.238765 | − | 0.971077i | \(-0.576742\pi\) |
0.763950 | − | 0.645276i | \(-0.223258\pi\) | |||||||
\(198\) | 9.21783 | + | 4.10404i | 0.655083 | + | 0.291662i | ||||
\(199\) | 11.2082 | − | 19.4132i | 0.794529 | − | 1.37616i | −0.128610 | − | 0.991695i | \(-0.541051\pi\) |
0.923138 | − | 0.384468i | \(-0.125615\pi\) | |||||||
\(200\) | 4.89074 | + | 1.03956i | 0.345827 | + | 0.0735079i | ||||
\(201\) | 0.309017 | + | 0.535233i | 0.0217964 | + | 0.0377524i | ||||
\(202\) | 3.80902 | − | 2.76741i | 0.268002 | − | 0.194714i | ||||
\(203\) | −9.11584 | − | 1.13650i | −0.639806 | − | 0.0797670i | ||||
\(204\) | −1.47214 | + | 4.53077i | −0.103070 | + | 0.317217i | ||||
\(205\) | 2.19287 | − | 20.8638i | 0.153157 | − | 1.45719i | ||||
\(206\) | 2.87993 | + | 0.612149i | 0.200654 | + | 0.0426504i | ||||
\(207\) | 1.92705 | − | 3.33775i | 0.133939 | − | 0.231990i | ||||
\(208\) | −3.91716 | + | 4.35045i | −0.271606 | + | 0.301649i | ||||
\(209\) | 18.7082 | + | 13.5923i | 1.29407 | + | 0.940199i | ||||
\(210\) | −3.13058 | − | 1.88898i | −0.216031 | − | 0.130352i | ||||
\(211\) | 8.30902 | − | 6.03685i | 0.572016 | − | 0.415594i | −0.263821 | − | 0.964572i | \(-0.584983\pi\) |
0.835837 | + | 0.548978i | \(0.184983\pi\) | |||||||
\(212\) | 0.0246758 | − | 0.234775i | 0.00169474 | − | 0.0161244i | ||||
\(213\) | 9.00217 | − | 4.00802i | 0.616819 | − | 0.274625i | ||||
\(214\) | −1.62670 | − | 15.4771i | −0.111199 | − | 1.05799i | ||||
\(215\) | 2.50000 | + | 4.33013i | 0.170499 | + | 0.295312i | ||||
\(216\) | −2.80902 | − | 2.04087i | −0.191129 | − | 0.138864i | ||||
\(217\) | 0.248028 | − | 12.8404i | 0.0168373 | − | 0.871660i | ||||
\(218\) | 1.23607 | 0.0837171 | ||||||||
\(219\) | 2.22569 | − | 2.47188i | 0.150398 | − | 0.167034i | ||||
\(220\) | 8.42971 | + | 1.79179i | 0.568331 | + | 0.120802i | ||||
\(221\) | 30.1943 | + | 33.5341i | 2.03109 | + | 2.25575i | ||||
\(222\) | 0.230909 | − | 0.0490813i | 0.0154976 | − | 0.00329412i | ||||
\(223\) | −8.59017 | + | 6.24112i | −0.575240 | + | 0.417937i | −0.837005 | − | 0.547195i | \(-0.815696\pi\) |
0.261765 | + | 0.965132i | \(0.415696\pi\) | |||||||
\(224\) | −2.50000 | − | 0.866025i | −0.167038 | − | 0.0578638i | ||||
\(225\) | 10.5902 | + | 7.69421i | 0.706011 | + | 0.512947i | ||||
\(226\) | 3.20820 | + | 5.55677i | 0.213407 | + | 0.369631i | ||||
\(227\) | 2.08474 | + | 19.8350i | 0.138369 | + | 1.31650i | 0.814693 | + | 0.579892i | \(0.196905\pi\) |
−0.676324 | + | 0.736604i | \(0.736428\pi\) | |||||||
\(228\) | −2.48127 | − | 2.75573i | −0.164326 | − | 0.182503i | ||||
\(229\) | −12.0569 | + | 2.56277i | −0.796741 | + | 0.169353i | −0.588258 | − | 0.808673i | \(-0.700186\pi\) |
−0.208483 | + | 0.978026i | \(0.566853\pi\) | |||||||
\(230\) | 1.01722 | − | 3.13068i | 0.0670736 | − | 0.206431i | ||||
\(231\) | −5.39590 | − | 3.25586i | −0.355024 | − | 0.214220i | ||||
\(232\) | −3.47214 | −0.227957 | ||||||||
\(233\) | −17.2855 | + | 19.1975i | −1.13241 | + | 1.25767i | −0.170189 | + | 0.985411i | \(0.554438\pi\) |
−0.962224 | + | 0.272260i | \(0.912229\pi\) | |||||||
\(234\) | −14.0012 | + | 6.23374i | −0.915288 | + | 0.407512i | ||||
\(235\) | −13.8192 | − | 15.3478i | −0.901465 | − | 1.00118i | ||||
\(236\) | −4.86576 | − | 2.16638i | −0.316734 | − | 0.141019i | ||||
\(237\) | −4.47214 | − | 3.24920i | −0.290496 | − | 0.211058i | ||||
\(238\) | −8.65325 | + | 18.4672i | −0.560907 | + | 1.19705i | ||||
\(239\) | −4.59017 | + | 3.33495i | −0.296913 | + | 0.215720i | −0.726261 | − | 0.687419i | \(-0.758744\pi\) |
0.429347 | + | 0.903139i | \(0.358744\pi\) | |||||||
\(240\) | −1.26249 | − | 0.562096i | −0.0814933 | − | 0.0362832i | ||||
\(241\) | −9.91572 | + | 4.41476i | −0.638727 | + | 0.284380i | −0.700437 | − | 0.713714i | \(-0.747011\pi\) |
0.0617094 | + | 0.998094i | \(0.480345\pi\) | |||||||
\(242\) | 3.76988 | + | 0.801313i | 0.242337 | + | 0.0515103i | ||||
\(243\) | −6.97214 | − | 12.0761i | −0.447263 | − | 0.774682i | ||||
\(244\) | 2.54508 | + | 7.83297i | 0.162932 | + | 0.501454i | ||||
\(245\) | −12.2984 | − | 9.68246i | −0.785714 | − | 0.618590i | ||||
\(246\) | −1.79180 | + | 5.51458i | −0.114241 | + | 0.351597i | ||||
\(247\) | −34.3571 | + | 7.30282i | −2.18609 | + | 0.464667i | ||||
\(248\) | −0.507392 | − | 4.82751i | −0.0322194 | − | 0.306547i | ||||
\(249\) | 1.78115 | − | 3.08505i | 0.112876 | − | 0.195507i | ||||
\(250\) | 10.2137 | + | 4.54745i | 0.645974 | + | 0.287606i | ||||
\(251\) | 31.1803 | 1.96809 | 0.984043 | − | 0.177932i | \(-0.0569407\pi\) | ||||
0.984043 | + | 0.177932i | \(0.0569407\pi\) | |||||||
\(252\) | −5.05705 | − | 4.73339i | −0.318564 | − | 0.298176i | ||||
\(253\) | 1.75329 | − | 5.39607i | 0.110228 | − | 0.339248i | ||||
\(254\) | 8.80333 | − | 1.87121i | 0.552370 | − | 0.117410i | ||||
\(255\) | −5.32624 | + | 9.22531i | −0.333542 | + | 0.577712i | ||||
\(256\) | −0.978148 | − | 0.207912i | −0.0611342 | − | 0.0129945i | ||||
\(257\) | 15.0172 | + | 26.0106i | 0.936749 | + | 1.62250i | 0.771486 | + | 0.636246i | \(0.219514\pi\) |
0.165263 | + | 0.986250i | \(0.447153\pi\) | |||||||
\(258\) | −0.427051 | − | 1.31433i | −0.0265870 | − | 0.0818265i | ||||
\(259\) | 1.00690 | − | 0.0862052i | 0.0625659 | − | 0.00535653i | ||||
\(260\) | −10.5902 | + | 7.69421i | −0.656774 | + | 0.477175i | ||||
\(261\) | −8.30428 | − | 3.69731i | −0.514022 | − | 0.228857i | ||||
\(262\) | 6.21062 | − | 2.76515i | 0.383694 | − | 0.170831i | ||||
\(263\) | −3.00721 | + | 1.33889i | −0.185432 | + | 0.0825597i | −0.497353 | − | 0.867549i | \(-0.665694\pi\) |
0.311920 | + | 0.950108i | \(0.399028\pi\) | |||||||
\(264\) | −2.17603 | − | 0.968833i | −0.133926 | − | 0.0596275i | ||||
\(265\) | 0.163119 | − | 0.502029i | 0.0100203 | − | 0.0308394i | ||||
\(266\) | −9.08103 | − | 13.0206i | −0.556794 | − | 0.798341i | ||||
\(267\) | −1.12868 | − | 3.47371i | −0.0690739 | − | 0.212588i | ||||
\(268\) | 0.500000 | + | 0.866025i | 0.0305424 | + | 0.0529009i | ||||
\(269\) | −17.9258 | − | 3.81024i | −1.09295 | − | 0.232314i | −0.374039 | − | 0.927413i | \(-0.622027\pi\) |
−0.718914 | + | 0.695099i | \(0.755361\pi\) | |||||||
\(270\) | −5.19508 | − | 5.76973i | −0.316163 | − | 0.351134i | ||||
\(271\) | −11.8260 | + | 2.51369i | −0.718377 | + | 0.152696i | −0.552575 | − | 0.833463i | \(-0.686355\pi\) |
−0.165802 | + | 0.986159i | \(0.553021\pi\) | |||||||
\(272\) | −2.38197 | + | 7.33094i | −0.144428 | + | 0.444503i | ||||
\(273\) | 9.15934 | − | 2.78167i | 0.554349 | − | 0.168354i | ||||
\(274\) | −2.47214 | −0.149347 | ||||||||
\(275\) | 17.6045 | + | 7.83802i | 1.06159 | + | 0.472651i | ||||
\(276\) | −0.454915 | + | 0.787936i | −0.0273827 | + | 0.0474282i | ||||
\(277\) | −0.670697 | − | 6.38126i | −0.0402983 | − | 0.383413i | −0.996019 | − | 0.0891382i | \(-0.971589\pi\) |
0.955721 | − | 0.294274i | \(-0.0950780\pi\) | |||||||
\(278\) | 5.86889 | − | 1.24747i | 0.351992 | − | 0.0748183i | ||||
\(279\) | 3.92705 | − | 12.0862i | 0.235106 | − | 0.723583i | ||||
\(280\) | −5.06539 | − | 3.05644i | −0.302715 | − | 0.182657i | ||||
\(281\) | 5.25329 | + | 16.1680i | 0.313385 | + | 0.964500i | 0.976414 | + | 0.215906i | \(0.0692705\pi\) |
−0.663029 | + | 0.748594i | \(0.730729\pi\) | |||||||
\(282\) | 2.85410 | + | 4.94345i | 0.169959 | + | 0.294378i | ||||
\(283\) | −11.3096 | − | 2.40394i | −0.672288 | − | 0.142899i | −0.140895 | − | 0.990025i | \(-0.544998\pi\) |
−0.531393 | + | 0.847125i | \(0.678331\pi\) | |||||||
\(284\) | 14.5658 | − | 6.48512i | 0.864322 | − | 0.384821i | ||||
\(285\) | −4.14590 | − | 7.18091i | −0.245582 | − | 0.425360i | ||||
\(286\) | −18.2533 | + | 13.2618i | −1.07934 | + | 0.784186i | ||||
\(287\) | −10.5322 | + | 22.4771i | −0.621697 | + | 1.32678i | ||||
\(288\) | −2.11803 | − | 1.53884i | −0.124806 | − | 0.0906771i | ||||
\(289\) | 38.7493 | + | 17.2523i | 2.27937 | + | 1.01484i | ||||
\(290\) | −7.59427 | − | 1.61421i | −0.445951 | − | 0.0947898i | ||||
\(291\) | −6.34391 | + | 2.82449i | −0.371886 | + | 0.165575i | ||||
\(292\) | 3.60124 | − | 3.99958i | 0.210747 | − | 0.234058i | ||||
\(293\) | −1.09017 | −0.0636884 | −0.0318442 | − | 0.999493i | \(-0.510138\pi\) | ||||
−0.0318442 | + | 0.999493i | \(0.510138\pi\) | |||||||
\(294\) | 2.76850 | + | 3.32442i | 0.161462 | + | 0.193884i | ||||
\(295\) | −9.63525 | − | 7.00042i | −0.560986 | − | 0.407580i | ||||
\(296\) | 0.373619 | − | 0.0794152i | 0.0217162 | − | 0.00461591i | ||||
\(297\) | −8.95428 | − | 9.94474i | −0.519580 | − | 0.577052i | ||||
\(298\) | −0.497966 | − | 4.73783i | −0.0288464 | − | 0.274455i | ||||
\(299\) | 4.30902 | + | 7.46344i | 0.249197 | + | 0.431622i | ||||
\(300\) | −2.50000 | − | 1.81636i | −0.144338 | − | 0.104867i | ||||
\(301\) | −1.11803 | − | 5.80948i | −0.0644424 | − | 0.334853i | ||||
\(302\) | 14.2533 | − | 10.3556i | 0.820185 | − | 0.595899i | ||||
\(303\) | −2.84624 | + | 0.604988i | −0.163512 | + | 0.0347556i | ||||
\(304\) | −4.01478 | − | 4.45887i | −0.230264 | − | 0.255734i | ||||
\(305\) | 1.92504 | + | 18.3155i | 0.110227 | + | 1.04874i | ||||
\(306\) | −13.5033 | + | 14.9969i | −0.771931 | + | 0.857317i | ||||
\(307\) | 13.1246 | 0.749061 | 0.374531 | − | 0.927215i | \(-0.377804\pi\) | ||||
0.374531 | + | 0.927215i | \(0.377804\pi\) | |||||||
\(308\) | −8.73074 | − | 5.26809i | −0.497480 | − | 0.300178i | ||||
\(309\) | −1.47214 | − | 1.06957i | −0.0837469 | − | 0.0608457i | ||||
\(310\) | 1.13456 | − | 10.7946i | 0.0644388 | − | 0.613094i | ||||
\(311\) | −0.374587 | − | 3.56396i | −0.0212409 | − | 0.202094i | 0.978755 | − | 0.205034i | \(-0.0657306\pi\) |
−0.999996 | + | 0.00294069i | \(0.999064\pi\) | |||||||
\(312\) | 3.30524 | − | 1.47159i | 0.187122 | − | 0.0833122i | ||||
\(313\) | 2.34898 | − | 22.3490i | 0.132772 | − | 1.26324i | −0.701812 | − | 0.712362i | \(-0.747626\pi\) |
0.834584 | − | 0.550880i | \(-0.185708\pi\) | |||||||
\(314\) | −1.11803 | + | 0.812299i | −0.0630943 | + | 0.0458407i | ||||
\(315\) | −8.86022 | − | 12.7039i | −0.499217 | − | 0.715786i | ||||
\(316\) | −7.23607 | − | 5.25731i | −0.407061 | − | 0.295747i | ||||
\(317\) | 17.2252 | − | 19.1305i | 0.967463 | − | 1.07448i | −0.0297265 | − | 0.999558i | \(-0.509464\pi\) |
0.997190 | − | 0.0749186i | \(-0.0238697\pi\) | |||||||
\(318\) | −0.0729490 | + | 0.126351i | −0.00409078 | + | 0.00708543i | ||||
\(319\) | −13.0895 | − | 2.78227i | −0.732873 | − | 0.155777i | ||||
\(320\) | −2.04275 | − | 0.909491i | −0.114193 | − | 0.0508421i | ||||
\(321\) | −2.97214 | + | 9.14729i | −0.165888 | + | 0.510552i | ||||
\(322\) | −2.34980 | + | 3.10624i | −0.130949 | + | 0.173104i | ||||
\(323\) | −37.4164 | + | 27.1846i | −2.08190 | + | 1.51259i | ||||
\(324\) | −2.85410 | − | 4.94345i | −0.158561 | − | 0.274636i | ||||
\(325\) | −26.7399 | + | 11.9054i | −1.48327 | + | 0.660392i | ||||
\(326\) | −1.02786 | + | 1.78031i | −0.0569281 | + | 0.0986024i | ||||
\(327\) | −0.697887 | − | 0.310719i | −0.0385932 | − | 0.0171828i | ||||
\(328\) | −2.89919 | + | 8.92278i | −0.160081 | + | 0.492678i | ||||
\(329\) | 9.50617 | + | 22.5115i | 0.524092 | + | 1.24110i | ||||
\(330\) | −4.30902 | − | 3.13068i | −0.237204 | − | 0.172338i | ||||
\(331\) | −19.0746 | + | 21.1845i | −1.04844 | + | 1.16441i | −0.0623699 | + | 0.998053i | \(0.519866\pi\) |
−0.986066 | + | 0.166353i | \(0.946801\pi\) | |||||||
\(332\) | 2.88197 | − | 4.99171i | 0.158168 | − | 0.273956i | ||||
\(333\) | 0.978148 | + | 0.207912i | 0.0536022 | + | 0.0113935i | ||||
\(334\) | 0.0152505 | − | 0.145099i | 0.000834470 | − | 0.00793945i | ||||
\(335\) | 0.690983 | + | 2.12663i | 0.0377524 | + | 0.116190i | ||||
\(336\) | 1.19381 | + | 1.11740i | 0.0651275 | + | 0.0609593i | ||||
\(337\) | −18.3713 | − | 13.3475i | −1.00075 | − | 0.727087i | −0.0385009 | − | 0.999259i | \(-0.512258\pi\) |
−0.962249 | + | 0.272171i | \(0.912258\pi\) | |||||||
\(338\) | 2.22337 | − | 21.1540i | 0.120936 | − | 1.15063i | ||||
\(339\) | −0.414514 | − | 3.94383i | −0.0225133 | − | 0.214200i | ||||
\(340\) | −8.61803 | + | 14.9269i | −0.467379 | + | 0.809523i | ||||
\(341\) | 1.95554 | − | 18.6057i | 0.105898 | − | 1.00756i | ||||
\(342\) | −4.85410 | − | 14.9394i | −0.262480 | − | 0.807830i | ||||
\(343\) | 10.0000 | + | 15.5885i | 0.539949 | + | 0.841698i | ||||
\(344\) | −0.690983 | − | 2.12663i | −0.0372553 | − | 0.114660i | ||||
\(345\) | −1.36131 | + | 1.51188i | −0.0732903 | + | 0.0813971i | ||||
\(346\) | 6.49606 | + | 7.21460i | 0.349230 | + | 0.387859i | ||||
\(347\) | −4.96255 | − | 5.51147i | −0.266403 | − | 0.295871i | 0.595070 | − | 0.803674i | \(-0.297124\pi\) |
−0.861473 | + | 0.507803i | \(0.830458\pi\) | |||||||
\(348\) | 1.96038 | + | 0.872815i | 0.105087 | + | 0.0467878i | ||||
\(349\) | 23.6180 | 1.26424 | 0.632122 | − | 0.774869i | \(-0.282184\pi\) | ||||
0.632122 | + | 0.774869i | \(0.282184\pi\) | |||||||
\(350\) | −9.65810 | − | 9.03998i | −0.516247 | − | 0.483207i | ||||
\(351\) | 20.3262 | 1.08493 | ||||||||
\(352\) | −3.52090 | − | 1.56760i | −0.187664 | − | 0.0835536i | ||||
\(353\) | −9.39087 | − | 10.4296i | −0.499826 | − | 0.555113i | 0.439454 | − | 0.898265i | \(-0.355172\pi\) |
−0.939280 | + | 0.343152i | \(0.888505\pi\) | |||||||
\(354\) | 2.20264 | + | 2.44628i | 0.117069 | + | 0.130018i | ||||
\(355\) | 34.8734 | − | 7.41257i | 1.85089 | − | 0.393418i | ||||
\(356\) | −1.82624 | − | 5.62058i | −0.0967904 | − | 0.297890i | ||||
\(357\) | 9.52786 | − | 8.25137i | 0.504268 | − | 0.436709i | ||||
\(358\) | 1.78115 | + | 5.48183i | 0.0941369 | + | 0.289723i | ||||
\(359\) | 0.184381 | − | 1.75427i | 0.00973126 | − | 0.0925868i | −0.988578 | − | 0.150709i | \(-0.951844\pi\) |
0.998310 | + | 0.0581218i | \(0.0185112\pi\) | |||||||
\(360\) | −3.91716 | − | 4.35045i | −0.206452 | − | 0.229289i | ||||
\(361\) | −1.77698 | − | 16.9069i | −0.0935255 | − | 0.889835i | ||||
\(362\) | −0.148055 | + | 1.40865i | −0.00778159 | + | 0.0740369i | ||||
\(363\) | −1.92705 | − | 1.40008i | −0.101144 | − | 0.0734854i | ||||
\(364\) | 14.8201 | − | 4.50083i | 0.776786 | − | 0.235908i | ||||
\(365\) | 9.73607 | − | 7.07367i | 0.509609 | − | 0.370253i | ||||
\(366\) | 0.532068 | − | 5.06229i | 0.0278116 | − | 0.264610i | ||||
\(367\) | 32.2244 | + | 6.84950i | 1.68210 | + | 0.357541i | 0.947202 | − | 0.320639i | \(-0.103897\pi\) |
0.734896 | + | 0.678179i | \(0.237231\pi\) | |||||||
\(368\) | −0.736068 | + | 1.27491i | −0.0383702 | + | 0.0664591i | ||||
\(369\) | −16.4354 | + | 18.2534i | −0.855592 | + | 0.950231i | ||||
\(370\) | 0.854102 | 0.0444026 | ||||||||
\(371\) | −0.376807 | + | 0.498109i | −0.0195629 | + | 0.0258605i | ||||
\(372\) | −0.927051 | + | 2.85317i | −0.0480654 | + | 0.147930i | ||||
\(373\) | −1.50961 | − | 0.672122i | −0.0781647 | − | 0.0348012i | 0.367282 | − | 0.930110i | \(-0.380288\pi\) |
−0.445447 | + | 0.895308i | \(0.646955\pi\) | |||||||
\(374\) | −14.8541 | + | 25.7281i | −0.768087 | + | 1.33037i | ||||
\(375\) | −4.62358 | − | 5.13500i | −0.238761 | − | 0.265170i | ||||
\(376\) | 4.61803 | + | 7.99867i | 0.238157 | + | 0.412500i | ||||
\(377\) | 16.4443 | − | 11.9475i | 0.846923 | − | 0.615326i | ||||
\(378\) | 3.57368 | + | 8.46280i | 0.183810 | + | 0.435279i | ||||
\(379\) | −1.87132 | + | 5.75934i | −0.0961234 | + | 0.295837i | −0.987545 | − | 0.157338i | \(-0.949709\pi\) |
0.891421 | + | 0.453175i | \(0.149709\pi\) | |||||||
\(380\) | −6.70820 | − | 11.6190i | −0.344124 | − | 0.596040i | ||||
\(381\) | −5.44076 | − | 1.15647i | −0.278738 | − | 0.0592477i | ||||
\(382\) | −7.88197 | + | 13.6520i | −0.403276 | + | 0.698495i | ||||
\(383\) | 13.3826 | − | 14.8629i | 0.683820 | − | 0.759459i | −0.296894 | − | 0.954911i | \(-0.595951\pi\) |
0.980713 | + | 0.195452i | \(0.0626174\pi\) | |||||||
\(384\) | 0.500000 | + | 0.363271i | 0.0255155 | + | 0.0185381i | ||||
\(385\) | −16.6468 | − | 15.5814i | −0.848398 | − | 0.794100i | ||||
\(386\) | 19.2533 | − | 13.9883i | 0.979967 | − | 0.711987i | ||||
\(387\) | 0.611920 | − | 5.82203i | 0.0311057 | − | 0.295951i | ||||
\(388\) | −10.2647 | + | 4.57012i | −0.521109 | + | 0.232013i | ||||
\(389\) | 0.741125 | + | 7.05133i | 0.0375765 | + | 0.357517i | 0.997113 | + | 0.0759322i | \(0.0241933\pi\) |
−0.959536 | + | 0.281584i | \(0.909140\pi\) | |||||||
\(390\) | 7.91338 | − | 1.68204i | 0.400710 | − | 0.0851735i | ||||
\(391\) | 9.18034 | + | 6.66991i | 0.464270 | + | 0.337312i | ||||
\(392\) | 4.47953 | + | 5.37902i | 0.226250 | + | 0.271681i | ||||
\(393\) | −4.20163 | −0.211944 | ||||||||
\(394\) | −15.9615 | + | 17.7271i | −0.804129 | + | 0.893076i | ||||
\(395\) | −13.3826 | − | 14.8629i | −0.673352 | − | 0.747833i | ||||
\(396\) | −6.75164 | − | 7.49846i | −0.339283 | − | 0.376812i | ||||
\(397\) | 21.1248 | − | 4.49022i | 1.06022 | − | 0.225357i | 0.355381 | − | 0.934721i | \(-0.384351\pi\) |
0.704842 | + | 0.709364i | \(0.251018\pi\) | |||||||
\(398\) | −18.1353 | + | 13.1760i | −0.909038 | + | 0.660455i | ||||
\(399\) | 1.85410 | + | 9.63420i | 0.0928212 | + | 0.482313i | ||||
\(400\) | −4.04508 | − | 2.93893i | −0.202254 | − | 0.146946i | ||||
\(401\) | −10.2361 | − | 17.7294i | −0.511165 | − | 0.885363i | −0.999916 | − | 0.0129404i | \(-0.995881\pi\) |
0.488751 | − | 0.872423i | \(-0.337453\pi\) | |||||||
\(402\) | −0.0646021 | − | 0.614648i | −0.00322206 | − | 0.0306559i | ||||
\(403\) | 19.0143 | + | 21.1175i | 0.947169 | + | 1.05194i | ||||
\(404\) | −4.60532 | + | 0.978891i | −0.229123 | + | 0.0487016i | ||||
\(405\) | −3.94427 | − | 12.1392i | −0.195992 | − | 0.603203i | ||||
\(406\) | 7.86547 | + | 4.74599i | 0.390357 | + | 0.235540i | ||||
\(407\) | 1.47214 | 0.0729711 | ||||||||
\(408\) | 3.18769 | − | 3.54029i | 0.157814 | − | 0.175271i | ||||
\(409\) | −1.34486 | + | 0.598772i | −0.0664992 | + | 0.0296074i | −0.439717 | − | 0.898137i | \(-0.644921\pi\) |
0.373218 | + | 0.927744i | \(0.378255\pi\) | |||||||
\(410\) | −10.4894 | + | 18.1681i | −0.518032 | + | 0.897258i | ||||
\(411\) | 1.39577 | + | 0.621438i | 0.0688484 | + | 0.0306533i | ||||
\(412\) | −2.38197 | − | 1.73060i | −0.117351 | − | 0.0852605i | ||||
\(413\) | 8.06129 | + | 11.5584i | 0.396670 | + | 0.568753i | ||||
\(414\) | −3.11803 | + | 2.26538i | −0.153243 | + | 0.111338i | ||||
\(415\) | 8.62412 | − | 9.57805i | 0.423341 | − | 0.470168i | ||||
\(416\) | 5.34799 | − | 2.38108i | 0.262207 | − | 0.116742i | ||||
\(417\) | −3.62717 | − | 0.770979i | −0.177623 | − | 0.0377550i | ||||
\(418\) | −11.5623 | − | 20.0265i | −0.565531 | − | 0.979528i | ||||
\(419\) | −3.78115 | − | 11.6372i | −0.184721 | − | 0.568514i | 0.815222 | − | 0.579149i | \(-0.196615\pi\) |
−0.999943 | + | 0.0106345i | \(0.996615\pi\) | |||||||
\(420\) | 2.09161 | + | 2.99899i | 0.102060 | + | 0.146336i | ||||
\(421\) | 7.44427 | − | 22.9111i | 0.362812 | − | 1.11662i | −0.588528 | − | 0.808476i | \(-0.700293\pi\) |
0.951340 | − | 0.308143i | \(-0.0997075\pi\) | |||||||
\(422\) | −10.0461 | + | 2.13536i | −0.489035 | + | 0.103948i | ||||
\(423\) | 2.52753 | + | 24.0479i | 0.122893 | + | 1.16925i | ||||
\(424\) | −0.118034 | + | 0.204441i | −0.00573224 | + | 0.00992853i | ||||
\(425\) | −25.7890 | + | 28.6416i | −1.25095 | + | 1.38932i | ||||
\(426\) | −9.85410 | −0.477433 | ||||||||
\(427\) | 4.94131 | − | 21.2229i | 0.239127 | − | 1.02705i | ||||
\(428\) | −4.80902 | + | 14.8006i | −0.232453 | + | 0.715416i | ||||
\(429\) | 13.6396 | − | 2.89918i | 0.658524 | − | 0.139974i | ||||
\(430\) | −0.522642 | − | 4.97261i | −0.0252041 | − | 0.239801i | ||||
\(431\) | 26.4437 | + | 5.62078i | 1.27375 | + | 0.270743i | 0.794677 | − | 0.607033i | \(-0.207640\pi\) |
0.479070 | + | 0.877776i | \(0.340974\pi\) | |||||||
\(432\) | 1.73607 | + | 3.00696i | 0.0835266 | + | 0.144672i | ||||
\(433\) | 7.01722 | + | 21.5968i | 0.337226 | + | 1.03788i | 0.965615 | + | 0.259976i | \(0.0837146\pi\) |
−0.628389 | + | 0.777899i | \(0.716285\pi\) | |||||||
\(434\) | −5.44923 | + | 11.6294i | −0.261571 | + | 0.558227i | ||||
\(435\) | 3.88197 | + | 2.82041i | 0.186126 | + | 0.135228i | ||||
\(436\) | −1.12920 | − | 0.502754i | −0.0540791 | − | 0.0240776i | ||||
\(437\) | −8.06918 | + | 3.59263i | −0.386001 | + | 0.171859i | ||||
\(438\) | −3.03867 | + | 1.35290i | −0.145193 | + | 0.0646442i | ||||
\(439\) | 3.60327 | + | 1.60428i | 0.171975 | + | 0.0765681i | 0.490918 | − | 0.871206i | \(-0.336661\pi\) |
−0.318944 | + | 0.947774i | \(0.603328\pi\) | |||||||
\(440\) | −6.97214 | − | 5.06555i | −0.332384 | − | 0.241491i | ||||
\(441\) | 4.98581 | + | 17.6350i | 0.237419 | + | 0.839761i | ||||
\(442\) | −13.9443 | − | 42.9161i | −0.663261 | − | 2.04131i | ||||
\(443\) | −1.57295 | − | 2.72443i | −0.0747331 | − | 0.129441i | 0.826237 | − | 0.563323i | \(-0.190477\pi\) |
−0.900970 | + | 0.433881i | \(0.857144\pi\) | |||||||
\(444\) | −0.230909 | − | 0.0490813i | −0.0109585 | − | 0.00232930i | ||||
\(445\) | −1.38132 | − | 13.1424i | −0.0654809 | − | 0.623009i | ||||
\(446\) | 10.3860 | − | 2.20761i | 0.491792 | − | 0.104534i | ||||
\(447\) | −0.909830 | + | 2.80017i | −0.0430335 | + | 0.132443i | ||||
\(448\) | 1.93162 | + | 1.80800i | 0.0912604 | + | 0.0854197i | ||||
\(449\) | 4.96556 | 0.234339 | 0.117170 | − | 0.993112i | \(-0.462618\pi\) | ||||
0.117170 | + | 0.993112i | \(0.462618\pi\) | |||||||
\(450\) | −6.54508 | − | 11.3364i | −0.308538 | − | 0.534404i | ||||
\(451\) | −18.0795 | + | 31.3147i | −0.851332 | + | 1.47455i | ||||
\(452\) | −0.670697 | − | 6.38126i | −0.0315469 | − | 0.300149i | ||||
\(453\) | −10.6506 | + | 2.26386i | −0.500409 | + | 0.106365i | ||||
\(454\) | 6.16312 | − | 18.9681i | 0.289250 | − | 0.890218i | ||||
\(455\) | 34.5071 | − | 2.95429i | 1.61772 | − | 0.138499i | ||||
\(456\) | 1.14590 | + | 3.52671i | 0.0536616 | + | 0.165153i | ||||
\(457\) | 5.38197 | + | 9.32184i | 0.251758 | + | 0.436057i | 0.964010 | − | 0.265867i | \(-0.0856580\pi\) |
−0.712252 | + | 0.701924i | \(0.752325\pi\) | |||||||
\(458\) | 12.0569 | + | 2.56277i | 0.563381 | + | 0.119750i | ||||
\(459\) | 24.4501 | − | 10.8859i | 1.14123 | − | 0.508109i | ||||
\(460\) | −2.20264 | + | 2.44628i | −0.102699 | + | 0.114058i | ||||
\(461\) | −28.3713 | + | 20.6130i | −1.32138 | + | 0.960042i | −0.321470 | + | 0.946920i | \(0.604177\pi\) |
−0.999914 | + | 0.0131222i | \(0.995823\pi\) | |||||||
\(462\) | 3.60512 | + | 5.16909i | 0.167725 | + | 0.240488i | ||||
\(463\) | −9.51722 | − | 6.91467i | −0.442303 | − | 0.321352i | 0.344246 | − | 0.938879i | \(-0.388134\pi\) |
−0.786549 | + | 0.617528i | \(0.788134\pi\) | |||||||
\(464\) | 3.17195 | + | 1.41224i | 0.147254 | + | 0.0655618i | ||||
\(465\) | −3.35410 | + | 5.80948i | −0.155543 | + | 0.269408i | ||||
\(466\) | 23.5995 | − | 10.5072i | 1.09322 | − | 0.486734i | ||||
\(467\) | −3.32261 | + | 3.69013i | −0.153752 | + | 0.170759i | −0.815100 | − | 0.579320i | \(-0.803318\pi\) |
0.661348 | + | 0.750079i | \(0.269985\pi\) | |||||||
\(468\) | 15.3262 | 0.708456 | ||||||||
\(469\) | 0.0510966 | − | 2.64526i | 0.00235942 | − | 0.122147i | ||||
\(470\) | 6.38197 | + | 19.6417i | 0.294378 | + | 0.906003i | ||||
\(471\) | 0.835438 | − | 0.177578i | 0.0384949 | − | 0.00818235i | ||||
\(472\) | 3.56395 | + | 3.95817i | 0.164044 | + | 0.182189i | ||||
\(473\) | −0.900830 | − | 8.57082i | −0.0414202 | − | 0.394087i | ||||
\(474\) | 2.76393 | + | 4.78727i | 0.126952 | + | 0.219887i | ||||
\(475\) | −9.27051 | − | 28.5317i | −0.425360 | − | 1.30912i | ||||
\(476\) | 15.4164 | − | 13.3510i | 0.706610 | − | 0.611942i | ||||
\(477\) | −0.500000 | + | 0.363271i | −0.0228934 | + | 0.0166330i | ||||
\(478\) | 5.54978 | − | 1.17964i | 0.253841 | − | 0.0539555i | ||||
\(479\) | 3.81953 | + | 4.24202i | 0.174519 | + | 0.193823i | 0.824058 | − | 0.566505i | \(-0.191705\pi\) |
−0.649539 | + | 0.760328i | \(0.725038\pi\) | |||||||
\(480\) | 0.924716 | + | 1.02700i | 0.0422073 | + | 0.0468760i | ||||
\(481\) | −1.49622 | + | 1.66172i | −0.0682218 | + | 0.0757680i | ||||
\(482\) | 10.8541 | 0.494391 | ||||||||
\(483\) | 2.10754 | − | 1.16311i | 0.0958963 | − | 0.0529232i | ||||
\(484\) | −3.11803 | − | 2.26538i | −0.141729 | − | 0.102972i | ||||
\(485\) | −24.5756 | + | 5.22370i | −1.11592 | + | 0.237196i | ||||
\(486\) | 1.45757 | + | 13.8679i | 0.0661169 | + | 0.629060i | ||||
\(487\) | 37.0870 | − | 16.5122i | 1.68057 | − | 0.748239i | 0.680694 | − | 0.732568i | \(-0.261678\pi\) |
0.999877 | − | 0.0156707i | \(-0.00498834\pi\) | |||||||
\(488\) | 0.860904 | − | 8.19095i | 0.0389713 | − | 0.370787i | ||||
\(489\) | 1.02786 | − | 0.746787i | 0.0464816 | − | 0.0337709i | ||||
\(490\) | 7.29691 | + | 13.8476i | 0.329641 | + | 0.625569i | ||||
\(491\) | 17.1074 | + | 12.4292i | 0.772046 | + | 0.560924i | 0.902581 | − | 0.430520i | \(-0.141670\pi\) |
−0.130536 | + | 0.991444i | \(0.541670\pi\) | |||||||
\(492\) | 3.87987 | − | 4.30903i | 0.174918 | − | 0.194266i | ||||
\(493\) | 13.3820 | − | 23.1782i | 0.602693 | − | 1.04390i | ||||
\(494\) | 34.3571 | + | 7.30282i | 1.54580 | + | 0.328569i | ||||
\(495\) | −11.2812 | − | 19.5395i | −0.507050 | − | 0.878237i | ||||
\(496\) | −1.50000 | + | 4.61653i | −0.0673520 | + | 0.207288i | ||||
\(497\) | −41.8605 | − | 5.21890i | −1.87770 | − | 0.234100i | ||||
\(498\) | −2.88197 | + | 2.09387i | −0.129144 | + | 0.0938286i | ||||
\(499\) | −6.00000 | − | 10.3923i | −0.268597 | − | 0.465223i | 0.699903 | − | 0.714238i | \(-0.253227\pi\) |
−0.968500 | + | 0.249015i | \(0.919893\pi\) | |||||||
\(500\) | −7.48111 | − | 8.30861i | −0.334565 | − | 0.371572i | ||||
\(501\) | −0.0450850 | + | 0.0780895i | −0.00201425 | + | 0.00348878i | ||||
\(502\) | −28.4847 | − | 12.6822i | −1.27133 | − | 0.566034i | ||||
\(503\) | −5.70820 | + | 17.5680i | −0.254516 | + | 0.783320i | 0.739408 | + | 0.673257i | \(0.235105\pi\) |
−0.993925 | + | 0.110063i | \(0.964895\pi\) | |||||||
\(504\) | 2.69460 | + | 6.38106i | 0.120027 | + | 0.284235i | ||||
\(505\) | −10.5279 | −0.468484 | ||||||||
\(506\) | −3.79649 | + | 4.21643i | −0.168774 | + | 0.187443i | ||||
\(507\) | −6.57295 | + | 11.3847i | −0.291915 | + | 0.505611i | ||||
\(508\) | −8.80333 | − | 1.87121i | −0.390585 | − | 0.0830213i | ||||
\(509\) | 0.575594 | − | 5.47641i | 0.0255128 | − | 0.242738i | −0.974332 | − | 0.225116i | \(-0.927724\pi\) |
0.999845 | − | 0.0176217i | \(-0.00560945\pi\) | |||||||
\(510\) | 8.61803 | − | 6.26137i | 0.381613 | − | 0.277258i | ||||
\(511\) | −13.6249 | + | 4.13784i | −0.602729 | + | 0.183047i | ||||
\(512\) | 0.809017 | + | 0.587785i | 0.0357538 | + | 0.0259767i | ||||
\(513\) | −2.17762 | + | 20.7187i | −0.0961444 | + | 0.914753i | ||||
\(514\) | −3.13945 | − | 29.8699i | −0.138475 | − | 1.31751i | ||||
\(515\) | −4.40528 | − | 4.89256i | −0.194120 | − | 0.215592i | ||||
\(516\) | −0.144455 | + | 1.37440i | −0.00635927 | + | 0.0605044i | ||||
\(517\) | 11.0000 | + | 33.8545i | 0.483779 | + | 1.48892i | ||||
\(518\) | −0.954915 | − | 0.330792i | −0.0419566 | − | 0.0145342i | ||||
\(519\) | −1.85410 | − | 5.70634i | −0.0813860 | − | 0.250480i | ||||
\(520\) | 12.8041 | − | 2.72160i | 0.561498 | − | 0.119350i | ||||
\(521\) | −13.7962 | − | 15.3222i | −0.604421 | − | 0.671277i | 0.360821 | − | 0.932635i | \(-0.382496\pi\) |
−0.965242 | + | 0.261358i | \(0.915830\pi\) | |||||||
\(522\) | 6.08251 | + | 6.75531i | 0.266224 | + | 0.295672i | ||||
\(523\) | 9.61768 | + | 4.28207i | 0.420552 | + | 0.187242i | 0.606091 | − | 0.795395i | \(-0.292737\pi\) |
−0.185539 | + | 0.982637i | \(0.559403\pi\) | |||||||
\(524\) | −6.79837 | −0.296988 | ||||||||
\(525\) | 3.18054 | + | 7.53181i | 0.138810 | + | 0.328715i | ||||
\(526\) | 3.29180 | 0.143529 | ||||||||
\(527\) | 34.1816 | + | 15.2186i | 1.48897 | + | 0.662934i | ||||
\(528\) | 1.59385 | + | 1.77015i | 0.0693633 | + | 0.0770357i | ||||
\(529\) | −13.9399 | − | 15.4818i | −0.606082 | − | 0.673122i | ||||
\(530\) | −0.353210 | + | 0.392279i | −0.0153425 | + | 0.0170395i | ||||
\(531\) | 4.30902 | + | 13.2618i | 0.186995 | + | 0.575513i | ||||
\(532\) | 3.00000 | + | 15.5885i | 0.130066 | + | 0.675845i | ||||
\(533\) | −16.9721 | − | 52.2349i | −0.735145 | − | 2.26254i | ||||
\(534\) | −0.381788 | + | 3.63247i | −0.0165216 | + | 0.157192i | ||||
\(535\) | −17.3992 | + | 30.1363i | −0.752232 | + | 1.30290i | ||||
\(536\) | −0.104528 | − | 0.994522i | −0.00451494 | − | 0.0429568i | ||||
\(537\) | 0.372362 | − | 3.54279i | 0.0160686 | − | 0.152883i | ||||
\(538\) | 14.8262 | + | 10.7719i | 0.639205 | + | 0.464409i | ||||
\(539\) | 12.5770 | + | 23.8678i | 0.541730 | + | 1.02806i | ||||
\(540\) | 2.39919 | + | 7.38394i | 0.103245 | + | 0.317754i | ||||
\(541\) | 2.53336 | − | 24.1033i | 0.108918 | − | 1.03628i | −0.794425 | − | 0.607362i | \(-0.792228\pi\) |
0.903343 | − | 0.428920i | \(-0.141106\pi\) | |||||||
\(542\) | 11.8260 | + | 2.51369i | 0.507969 | + | 0.107972i | ||||
\(543\) | 0.437694 | − | 0.758108i | 0.0187833 | − | 0.0325335i | ||||
\(544\) | 5.15780 | − | 5.72831i | 0.221139 | − | 0.245599i | ||||
\(545\) | −2.23607 | − | 1.62460i | −0.0957826 | − | 0.0695902i | ||||
\(546\) | −9.49888 | − | 1.18426i | −0.406515 | − | 0.0506817i | ||||
\(547\) | −3.50658 | + | 10.7921i | −0.149930 | + | 0.461438i | −0.997612 | − | 0.0690669i | \(-0.977998\pi\) |
0.847682 | + | 0.530505i | \(0.177998\pi\) | |||||||
\(548\) | 2.25841 | + | 1.00551i | 0.0964744 | + | 0.0429532i | ||||
\(549\) | 10.7812 | − | 18.6735i | 0.460128 | − | 0.796966i | ||||
\(550\) | −12.8945 | − | 14.3208i | −0.549823 | − | 0.610640i | ||||
\(551\) | 10.4164 | + | 18.0417i | 0.443754 | + | 0.768604i | ||||
\(552\) | 0.736068 | − | 0.534785i | 0.0313291 | − | 0.0227619i | ||||
\(553\) | 9.20584 | + | 21.8003i | 0.391472 | + | 0.927042i | ||||
\(554\) | −1.98278 | + | 6.10237i | −0.0842402 | + | 0.259265i | ||||
\(555\) | −0.482228 | − | 0.214702i | −0.0204694 | − | 0.00911358i | ||||
\(556\) | −5.86889 | − | 1.24747i | −0.248896 | − | 0.0529045i | ||||
\(557\) | −2.90983 | + | 5.03997i | −0.123293 | + | 0.213551i | −0.921065 | − | 0.389410i | \(-0.872679\pi\) |
0.797771 | + | 0.602960i | \(0.206012\pi\) | |||||||
\(558\) | −8.50345 | + | 9.44404i | −0.359980 | + | 0.399798i | ||||
\(559\) | 10.5902 | + | 7.69421i | 0.447916 | + | 0.325430i | ||||
\(560\) | 3.38430 | + | 4.85247i | 0.143013 | + | 0.205054i | ||||
\(561\) | 14.8541 | − | 10.7921i | 0.627141 | − | 0.455644i | ||||
\(562\) | 1.77698 | − | 16.9069i | 0.0749575 | − | 0.713173i | ||||
\(563\) | −3.75600 | + | 1.67228i | −0.158297 | + | 0.0704782i | −0.484356 | − | 0.874871i | \(-0.660946\pi\) |
0.326059 | + | 0.945349i | \(0.394279\pi\) | |||||||
\(564\) | −0.596670 | − | 5.67693i | −0.0251243 | − | 0.239042i | ||||
\(565\) | 1.49972 | − | 14.2689i | 0.0630939 | − | 0.600298i | ||||
\(566\) | 9.35410 | + | 6.79615i | 0.393182 | + | 0.285664i | ||||
\(567\) | −0.291670 | + | 15.0997i | −0.0122490 | + | 0.634127i | ||||
\(568\) | −15.9443 | −0.669007 | ||||||||
\(569\) | 17.5784 | − | 19.5228i | 0.736925 | − | 0.818438i | −0.251863 | − | 0.967763i | \(-0.581043\pi\) |
0.988788 | + | 0.149325i | \(0.0477100\pi\) | |||||||
\(570\) | 0.866729 | + | 8.24637i | 0.0363033 | + | 0.345403i | ||||
\(571\) | −6.77469 | − | 7.52405i | −0.283512 | − | 0.314872i | 0.584521 | − | 0.811379i | \(-0.301282\pi\) |
−0.868033 | + | 0.496507i | \(0.834616\pi\) | |||||||
\(572\) | 22.0693 | − | 4.69097i | 0.922762 | − | 0.196139i | ||||
\(573\) | 7.88197 | − | 5.72658i | 0.329274 | − | 0.239231i | ||||
\(574\) | 18.7639 | − | 16.2500i | 0.783191 | − | 0.678264i | ||||
\(575\) | −5.95492 | + | 4.32650i | −0.248337 | + | 0.180427i | ||||
\(576\) | 1.30902 | + | 2.26728i | 0.0545424 | + | 0.0944702i | ||||
\(577\) | 0.811552 | + | 7.72140i | 0.0337853 | + | 0.321446i | 0.998342 | + | 0.0575686i | \(0.0183348\pi\) |
−0.964556 | + | 0.263877i | \(0.914999\pi\) | |||||||
\(578\) | −28.3821 | − | 31.5215i | −1.18054 | − | 1.31112i | ||||
\(579\) | −14.3868 | + | 3.05801i | −0.597895 | + | 0.127086i | ||||
\(580\) | 6.28115 | + | 4.56352i | 0.260811 | + | 0.189490i | ||||
\(581\) | −13.3516 | + | 7.36848i | −0.553919 | + | 0.305696i | ||||
\(582\) | 6.94427 | 0.287849 | ||||||||
\(583\) | −0.608795 | + | 0.676135i | −0.0252137 | + | 0.0280027i | ||||
\(584\) | −4.91667 | + | 2.18904i | −0.203453 | + | 0.0905832i | ||||
\(585\) | 33.5216 | + | 7.12524i | 1.38595 | + | 0.294592i | ||||
\(586\) | 0.995920 | + | 0.443412i | 0.0411411 | + | 0.0183172i | ||||
\(587\) | 12.2082 | + | 8.86978i | 0.503887 | + | 0.366095i | 0.810500 | − | 0.585739i | \(-0.199196\pi\) |
−0.306613 | + | 0.951834i | \(0.599196\pi\) | |||||||
\(588\) | −1.17699 | − | 4.16306i | −0.0485382 | − | 0.171682i | ||||
\(589\) | −23.5623 | + | 17.1190i | −0.970868 | + | 0.705377i | ||||
\(590\) | 5.95492 | + | 10.3142i | 0.245160 | + | 0.424630i | ||||
\(591\) | 13.4681 | − | 5.99637i | 0.554003 | − | 0.246658i | ||||
\(592\) | −0.373619 | − | 0.0794152i | −0.0153557 | − | 0.00326394i | ||||
\(593\) | −1.55573 | − | 2.69460i | −0.0638861 | − | 0.110654i | 0.832313 | − | 0.554306i | \(-0.187016\pi\) |
−0.896199 | + | 0.443652i | \(0.853683\pi\) | |||||||
\(594\) | 4.13525 | + | 12.7270i | 0.169672 | + | 0.522195i | ||||
\(595\) | 39.9258 | − | 22.0342i | 1.63680 | − | 0.903315i | ||||
\(596\) | −1.47214 | + | 4.53077i | −0.0603010 | + | 0.185588i | ||||
\(597\) | 13.5514 | − | 2.88043i | 0.554620 | − | 0.117888i | ||||
\(598\) | −0.900830 | − | 8.57082i | −0.0368377 | − | 0.350487i | ||||
\(599\) | −2.05573 | + | 3.56063i | −0.0839948 | + | 0.145483i | −0.904962 | − | 0.425491i | \(-0.860101\pi\) |
0.820968 | + | 0.570975i | \(0.193435\pi\) | |||||||
\(600\) | 1.54508 | + | 2.67617i | 0.0630778 | + | 0.109254i | ||||
\(601\) | 2.85410 | 0.116421 | 0.0582106 | − | 0.998304i | \(-0.481461\pi\) | ||||
0.0582106 | + | 0.998304i | \(0.481461\pi\) | |||||||
\(602\) | −1.34155 | + | 5.76196i | −0.0546776 | + | 0.234840i | ||||
\(603\) | 0.809017 | − | 2.48990i | 0.0329457 | − | 0.101396i | ||||
\(604\) | −17.2330 | + | 3.66300i | −0.701202 | + | 0.149045i | ||||
\(605\) | −5.76659 | − | 6.40445i | −0.234445 | − | 0.260378i | ||||
\(606\) | 2.84624 | + | 0.604988i | 0.115621 | + | 0.0245759i | ||||
\(607\) | 5.39919 | + | 9.35167i | 0.219146 | + | 0.379572i | 0.954547 | − | 0.298060i | \(-0.0963395\pi\) |
−0.735401 | + | 0.677632i | \(0.763006\pi\) | |||||||
\(608\) | 1.85410 | + | 5.70634i | 0.0751938 | + | 0.231423i | ||||
\(609\) | −3.24783 | − | 4.65680i | −0.131609 | − | 0.188703i | ||||
\(610\) | 5.69098 | − | 17.5150i | 0.230421 | − | 0.709163i | ||||
\(611\) | −49.3944 | − | 21.9918i | −1.99828 | − | 0.889693i | ||||
\(612\) | 18.4357 | − | 8.20808i | 0.745217 | − | 0.331792i | ||||
\(613\) | 11.8761 | − | 5.28758i | 0.479671 | − | 0.213563i | −0.152634 | − | 0.988283i | \(-0.548776\pi\) |
0.632305 | + | 0.774720i | \(0.282109\pi\) | |||||||
\(614\) | −11.9899 | − | 5.33826i | −0.483874 | − | 0.215435i | ||||
\(615\) | 10.4894 | − | 7.62096i | 0.422972 | − | 0.307307i | ||||
\(616\) | 5.83320 | + | 8.36376i | 0.235027 | + | 0.336985i | ||||
\(617\) | −9.12461 | − | 28.0827i | −0.367343 | − | 1.13057i | −0.948501 | − | 0.316775i | \(-0.897400\pi\) |
0.581158 | − | 0.813791i | \(-0.302600\pi\) | |||||||
\(618\) | 0.909830 | + | 1.57587i | 0.0365987 | + | 0.0633909i | ||||
\(619\) | −32.0271 | − | 6.80758i | −1.28728 | − | 0.273620i | −0.487082 | − | 0.873356i | \(-0.661939\pi\) |
−0.800198 | + | 0.599737i | \(0.795272\pi\) | |||||||
\(620\) | −5.42705 | + | 9.39993i | −0.217956 | + | 0.377510i | ||||
\(621\) | 4.99976 | − | 1.06273i | 0.200633 | − | 0.0426459i | ||||
\(622\) | −1.10739 | + | 3.40820i | −0.0444023 | + | 0.136656i | ||||
\(623\) | −3.54566 | + | 15.2286i | −0.142054 | + | 0.610122i | ||||
\(624\) | −3.61803 | −0.144837 | ||||||||
\(625\) | −12.5000 | − | 21.6506i | −0.500000 | − | 0.866025i | ||||
\(626\) | −11.2361 | + | 19.4614i | −0.449084 | + | 0.777836i | ||||
\(627\) | 1.49390 | + | 14.2135i | 0.0596606 | + | 0.567633i | ||||
\(628\) | 1.35177 | − | 0.287327i | 0.0539414 | − | 0.0114656i | ||||
\(629\) | −0.909830 | + | 2.80017i | −0.0362773 | + | 0.111650i | ||||
\(630\) | 2.92705 | + | 15.2094i | 0.116617 | + | 0.605957i | ||||
\(631\) | −8.10081 | − | 24.9317i | −0.322488 | − | 0.992517i | −0.972562 | − | 0.232645i | \(-0.925262\pi\) |
0.650073 | − | 0.759871i | \(-0.274738\pi\) | |||||||
\(632\) | 4.47214 | + | 7.74597i | 0.177892 | + | 0.308118i | ||||
\(633\) | 6.20882 | + | 1.31972i | 0.246778 | + | 0.0524543i | ||||
\(634\) | −23.5171 | + | 10.4705i | −0.933982 | + | 0.415836i | ||||
\(635\) | −18.3847 | − | 8.18542i | −0.729576 | − | 0.324828i | ||||
\(636\) | 0.118034 | − | 0.0857567i | 0.00468035 | − | 0.00340047i | ||||
\(637\) | −39.7243 | − | 10.0615i | −1.57393 | − | 0.398653i | ||||
\(638\) | 10.8262 | + | 7.86572i | 0.428615 | + | 0.311407i | ||||
\(639\) | −38.1338 | − | 16.9783i | −1.50855 | − | 0.671650i | ||||
\(640\) | 1.49622 | + | 1.66172i | 0.0591433 | + | 0.0656853i | ||||
\(641\) | −12.8526 | + | 5.72233i | −0.507646 | + | 0.226018i | −0.644545 | − | 0.764567i | \(-0.722953\pi\) |
0.136899 | + | 0.990585i | \(0.456286\pi\) | |||||||
\(642\) | 6.43572 | − | 7.14759i | 0.253998 | − | 0.282093i | ||||
\(643\) | −11.9443 | −0.471036 | −0.235518 | − | 0.971870i | \(-0.575679\pi\) | ||||
−0.235518 | + | 0.971870i | \(0.575679\pi\) | |||||||
\(644\) | 3.41007 | − | 1.88195i | 0.134376 | − | 0.0741591i | ||||
\(645\) | −0.954915 | + | 2.93893i | −0.0375997 | + | 0.115720i | ||||
\(646\) | 45.2386 | − | 9.61575i | 1.77989 | − | 0.378327i | ||||
\(647\) | 8.01532 | + | 8.90192i | 0.315115 | + | 0.349971i | 0.879807 | − | 0.475331i | \(-0.157672\pi\) |
−0.564692 | + | 0.825302i | \(0.691005\pi\) | |||||||
\(648\) | 0.596670 | + | 5.67693i | 0.0234394 | + | 0.223011i | ||||
\(649\) | 10.2639 | + | 17.7777i | 0.402895 | + | 0.697834i | ||||
\(650\) | 29.2705 | 1.14808 | ||||||||
\(651\) | 6.00000 | − | 5.19615i | 0.235159 | − | 0.203653i | ||||
\(652\) | 1.66312 | − | 1.20833i | 0.0651328 | − | 0.0473217i | ||||
\(653\) | 44.7976 | − | 9.52202i | 1.75306 | − | 0.372625i | 0.784256 | − | 0.620437i | \(-0.213045\pi\) |
0.968808 | + | 0.247812i | \(0.0797115\pi\) | |||||||
\(654\) | 0.511170 | + | 0.567712i | 0.0199883 | + | 0.0221993i | ||||
\(655\) | −14.8694 | − | 3.16060i | −0.580997 | − | 0.123495i | ||||
\(656\) | 6.27776 | − | 6.97216i | 0.245105 | − | 0.272217i | ||||
\(657\) | −14.0902 | −0.549710 | ||||||||
\(658\) | 0.471932 | − | 24.4318i | 0.0183978 | − | 0.952450i | ||||
\(659\) | 13.1074 | + | 9.52308i | 0.510591 | + | 0.370966i | 0.813048 | − | 0.582197i | \(-0.197807\pi\) |
−0.302456 | + | 0.953163i | \(0.597807\pi\) | |||||||
\(660\) | 2.66312 | + | 4.61266i | 0.103662 | + | 0.179547i | ||||
\(661\) | −0.260634 | − | 2.47976i | −0.0101375 | − | 0.0964516i | 0.988283 | − | 0.152631i | \(-0.0487747\pi\) |
−0.998421 | + | 0.0561797i | \(0.982108\pi\) | |||||||
\(662\) | 26.0421 | − | 11.5947i | 1.01215 | − | 0.450640i | ||||
\(663\) | −2.91515 | + | 27.7358i | −0.113215 | + | 1.07717i | ||||
\(664\) | −4.66312 | + | 3.38795i | −0.180964 | + | 0.131478i | ||||
\(665\) | −0.685533 | + | 35.4899i | −0.0265838 | + | 1.37624i | ||||
\(666\) | −0.809017 | − | 0.587785i | −0.0313488 | − | 0.0227762i | ||||
\(667\) | 3.42023 | − | 3.79855i | 0.132432 | − | 0.147081i | ||||
\(668\) | −0.0729490 | + | 0.126351i | −0.00282248 | + | 0.00488868i | ||||
\(669\) | −6.41890 | − | 1.36438i | −0.248169 | − | 0.0527500i | ||||
\(670\) | 0.233733 | − | 2.22382i | 0.00902988 | − | 0.0859136i | ||||
\(671\) | 9.80902 | − | 30.1891i | 0.378673 | − | 1.16544i | ||||
\(672\) | −0.636108 | − | 1.50636i | −0.0245384 | − | 0.0581092i | ||||
\(673\) | 30.6074 | − | 22.2376i | 1.17983 | − | 0.857195i | 0.187676 | − | 0.982231i | \(-0.439905\pi\) |
0.992152 | + | 0.125036i | \(0.0399045\pi\) | |||||||
\(674\) | 11.3541 | + | 19.6659i | 0.437344 | + | 0.757501i | ||||
\(675\) | 1.81469 | + | 17.2656i | 0.0698473 | + | 0.664552i | ||||
\(676\) | −10.6353 | + | 18.4208i | −0.409048 | + | 0.708492i | ||||
\(677\) | −9.40202 | − | 4.18605i | −0.361349 | − | 0.160883i | 0.218028 | − | 0.975942i | \(-0.430038\pi\) |
−0.579377 | + | 0.815059i | \(0.696704\pi\) | |||||||
\(678\) | −1.22542 | + | 3.77147i | −0.0470622 | + | 0.144842i | ||||
\(679\) | 29.4995 | + | 3.67781i | 1.13209 | + | 0.141141i | ||||
\(680\) | 13.9443 | − | 10.1311i | 0.534738 | − | 0.388510i | ||||
\(681\) | −8.24786 | + | 9.16018i | −0.316059 | + | 0.351019i | ||||
\(682\) | −9.35410 | + | 16.2018i | −0.358187 | + | 0.620398i | ||||
\(683\) | −3.11084 | − | 0.661230i | −0.119033 | − | 0.0253013i | 0.148010 | − | 0.988986i | \(-0.452713\pi\) |
−0.267043 | + | 0.963685i | \(0.586047\pi\) | |||||||
\(684\) | −1.64195 | + | 15.6222i | −0.0627817 | + | 0.597328i | ||||
\(685\) | 4.47214 | + | 3.24920i | 0.170872 | + | 0.124145i | ||||
\(686\) | −2.79506 | − | 18.3081i | −0.106716 | − | 0.699008i | ||||
\(687\) | −6.16312 | − | 4.47777i | −0.235138 | − | 0.170838i | ||||
\(688\) | −0.233733 | + | 2.22382i | −0.00891098 | + | 0.0847823i | ||||
\(689\) | −0.144455 | − | 1.37440i | −0.00550329 | − | 0.0523603i | ||||
\(690\) | 1.85856 | − | 0.827482i | 0.0707540 | − | 0.0315017i | ||||
\(691\) | −1.34362 | + | 12.7837i | −0.0511137 | + | 0.486314i | 0.938781 | + | 0.344513i | \(0.111956\pi\) |
−0.989895 | + | 0.141801i | \(0.954711\pi\) | |||||||
\(692\) | −3.00000 | − | 9.23305i | −0.114043 | − | 0.350988i | ||||
\(693\) | 5.04508 | + | 26.2150i | 0.191647 | + | 0.995827i | ||||
\(694\) | 2.29180 | + | 7.05342i | 0.0869954 | + | 0.267744i | ||||
\(695\) | −12.2565 | − | 5.45694i | −0.464915 | − | 0.206994i | ||||
\(696\) | −1.43589 | − | 1.59471i | −0.0544271 | − | 0.0604474i | ||||
\(697\) | −48.3903 | − | 53.7428i | −1.83291 | − | 2.03565i | ||||
\(698\) | −21.5761 | − | 9.60632i | −0.816669 | − | 0.363605i | ||||
\(699\) | −15.9656 | −0.603873 | ||||||||
\(700\) | 5.14622 | + | 12.1867i | 0.194509 | + | 0.460615i | ||||
\(701\) | −35.0132 | −1.32243 | −0.661214 | − | 0.750197i | \(-0.729959\pi\) | ||||
−0.661214 | + | 0.750197i | \(0.729959\pi\) | |||||||
\(702\) | −18.5689 | − | 8.26743i | −0.700840 | − | 0.312034i | ||||
\(703\) | −1.53351 | − | 1.70314i | −0.0578375 | − | 0.0642350i | ||||
\(704\) | 2.57890 | + | 2.86416i | 0.0971959 | + | 0.107947i | ||||
\(705\) | 1.33419 | − | 12.6940i | 0.0502487 | − | 0.478084i | ||||
\(706\) | 4.33688 | + | 13.3475i | 0.163221 | + | 0.502342i | ||||
\(707\) | 11.7705 | + | 4.07742i | 0.442676 | + | 0.153347i | ||||
\(708\) | −1.01722 | − | 3.13068i | −0.0382295 | − | 0.117658i | ||||
\(709\) | 3.59749 | − | 34.2279i | 0.135107 | − | 1.28545i | −0.691377 | − | 0.722494i | \(-0.742996\pi\) |
0.826484 | − | 0.562961i | \(-0.190338\pi\) | |||||||
\(710\) | −34.8734 | − | 7.41257i | −1.30877 | − | 0.278189i | ||||
\(711\) | 2.44768 | + | 23.2881i | 0.0917952 | + | 0.873373i | ||||
\(712\) | −0.617745 | + | 5.87746i | −0.0231510 | + | 0.220267i | ||||
\(713\) | 5.78115 | + | 4.20025i | 0.216506 | + | 0.157301i | ||||
\(714\) | −12.0603 | + | 3.66267i | −0.451344 | + | 0.137072i | ||||
\(715\) | 50.4508 | 1.88675 | ||||||||
\(716\) | 0.602495 | − | 5.73236i | 0.0225163 | − | 0.214228i | ||||
\(717\) | −3.42995 | − | 0.729059i | −0.128094 | − | 0.0272272i | ||||
\(718\) | −0.881966 | + | 1.52761i | −0.0329147 | + | 0.0570099i | ||||
\(719\) | 17.3371 | − | 19.2548i | 0.646563 | − | 0.718081i | −0.327375 | − | 0.944894i | \(-0.606164\pi\) |
0.973938 | + | 0.226813i | \(0.0728307\pi\) | |||||||
\(720\) | 1.80902 | + | 5.56758i | 0.0674181 | + | 0.207492i | ||||
\(721\) | 3.03037 | + | 7.17621i | 0.112857 | + | 0.267256i | ||||
\(722\) | −5.25329 | + | 16.1680i | −0.195507 | + | 0.601709i | ||||
\(723\) | −6.12825 | − | 2.72847i | −0.227912 | − | 0.101473i | ||||
\(724\) | 0.708204 | − | 1.22665i | 0.0263202 | − | 0.0455879i | ||||
\(725\) | 11.6166 | + | 12.9015i | 0.431428 | + | 0.479150i | ||||
\(726\) | 1.19098 | + | 2.06284i | 0.0442015 | + | 0.0765593i | ||||
\(727\) | −27.4164 | + | 19.9192i | −1.01682 | + | 0.738762i | −0.965628 | − | 0.259927i | \(-0.916301\pi\) |
−0.0511901 | + | 0.998689i | \(0.516301\pi\) | |||||||
\(728\) | −15.3695 | − | 1.91617i | −0.569632 | − | 0.0710181i | ||||
\(729\) | −2.62868 | + | 8.09024i | −0.0973584 | + | 0.299638i | ||||
\(730\) | −11.7715 | + | 2.50210i | −0.435681 | + | 0.0926069i | ||||
\(731\) | 16.8594 | + | 3.58358i | 0.623568 | + | 0.132543i | ||||
\(732\) | −2.54508 | + | 4.40822i | −0.0940690 | + | 0.162932i | ||||
\(733\) | 0.864380 | − | 0.959992i | 0.0319266 | − | 0.0354581i | −0.726970 | − | 0.686669i | \(-0.759072\pi\) |
0.758897 | + | 0.651211i | \(0.225739\pi\) | |||||||
\(734\) | −26.6525 | − | 19.3642i | −0.983761 | − | 0.714744i | ||||
\(735\) | −0.638892 | − | 9.65264i | −0.0235659 | − | 0.356043i | ||||
\(736\) | 1.19098 | − | 0.865300i | 0.0439002 | − | 0.0318954i | ||||
\(737\) | 0.402863 | − | 3.83299i | 0.0148397 | − | 0.141190i | ||||
\(738\) | 22.4388 | − | 9.99039i | 0.825983 | − | 0.367751i | ||||
\(739\) | 3.42614 | + | 32.5975i | 0.126033 | + | 1.19912i | 0.856491 | + | 0.516162i | \(0.172640\pi\) |
−0.730458 | + | 0.682957i | \(0.760693\pi\) | |||||||
\(740\) | −0.780261 | − | 0.347395i | −0.0286830 | − | 0.0127705i | ||||
\(741\) | −17.5623 | − | 12.7598i | −0.645167 | − | 0.468742i | ||||
\(742\) | 0.546830 | − | 0.301784i | 0.0200748 | − | 0.0110788i | ||||
\(743\) | −36.2361 | −1.32937 | −0.664686 | − | 0.747123i | \(-0.731435\pi\) | ||||
−0.664686 | + | 0.747123i | \(0.731435\pi\) | |||||||
\(744\) | 2.00739 | − | 2.22943i | 0.0735946 | − | 0.0817350i | ||||
\(745\) | −5.32624 | + | 9.22531i | −0.195138 | + | 0.337989i | ||||
\(746\) | 1.10572 | + | 1.22803i | 0.0404834 | + | 0.0449613i | ||||
\(747\) | −14.7604 | + | 3.13742i | −0.540055 | + | 0.114792i | ||||
\(748\) | 24.0344 | − | 17.4620i | 0.878786 | − | 0.638476i | ||||
\(749\) | 31.1246 | − | 26.9547i | 1.13727 | − | 0.984903i | ||||
\(750\) | 2.13525 | + | 6.57164i | 0.0779685 | + | 0.239962i | ||||
\(751\) | −16.2533 | − | 28.1515i | −0.593091 | − | 1.02726i | −0.993813 | − | 0.111064i | \(-0.964574\pi\) |
0.400722 | − | 0.916200i | \(-0.368759\pi\) | |||||||
\(752\) | −0.965432 | − | 9.18547i | −0.0352057 | − | 0.334960i | ||||
\(753\) | 12.8945 | + | 14.3208i | 0.469901 | + | 0.521878i | ||||
\(754\) | −19.8821 | + | 4.22606i | −0.724062 | + | 0.153904i | ||||
\(755\) | −39.3951 | −1.43374 | ||||||||
\(756\) | 0.177414 | − | 9.18469i | 0.00645250 | − | 0.334044i | ||||
\(757\) | 14.2016 | 0.516167 | 0.258083 | − | 0.966123i | \(-0.416909\pi\) | ||||
0.258083 | + | 0.966123i | \(0.416909\pi\) | |||||||
\(758\) | 4.05207 | − | 4.50028i | 0.147178 | − | 0.163458i | ||||
\(759\) | 3.20342 | − | 1.42625i | 0.116277 | − | 0.0517697i | ||||
\(760\) | 1.40240 | + | 13.3429i | 0.0508703 | + | 0.483998i | ||||
\(761\) | 10.7469 | + | 4.78482i | 0.389574 | + | 0.173450i | 0.592170 | − | 0.805813i | \(-0.298271\pi\) |
−0.202596 | + | 0.979262i | \(0.564938\pi\) | |||||||
\(762\) | 4.50000 | + | 3.26944i | 0.163018 | + | 0.118439i | ||||
\(763\) | 1.87080 | + | 2.68238i | 0.0677274 | + | 0.0971087i | ||||
\(764\) | 12.7533 | − | 9.26581i | 0.461398 | − | 0.335225i | ||||
\(765\) | 44.1385 | − | 9.38193i | 1.59583 | − | 0.339205i | ||||
\(766\) | −18.2709 | + | 8.13473i | −0.660155 | + | 0.293920i | ||||
\(767\) | −30.4990 | − | 6.48276i | −1.10125 | − | 0.234079i | ||||
\(768\) | −0.309017 | − | 0.535233i | −0.0111507 | − | 0.0193136i | ||||
\(769\) | −2.12868 | − | 6.55139i | −0.0767621 | − | 0.236249i | 0.905311 | − | 0.424749i | \(-0.139638\pi\) |
−0.982073 | + | 0.188500i | \(0.939638\pi\) | |||||||
\(770\) | 8.87006 | + | 21.0051i | 0.319655 | + | 0.756972i | ||||
\(771\) | −5.73607 | + | 17.6538i | −0.206579 | + | 0.635786i | ||||
\(772\) | −23.2783 | + | 4.94796i | −0.837805 | + | 0.178081i | ||||
\(773\) | −2.88825 | − | 27.4798i | −0.103883 | − | 0.988381i | −0.914988 | − | 0.403480i | \(-0.867800\pi\) |
0.811105 | − | 0.584900i | \(-0.198866\pi\) | |||||||
\(774\) | −2.92705 | + | 5.06980i | −0.105211 | + | 0.182230i | ||||
\(775\) | −16.2401 | + | 18.0365i | −0.583363 | + | 0.647890i | ||||
\(776\) | 11.2361 | 0.403351 | ||||||||
\(777\) | 0.455993 | + | 0.426810i | 0.0163587 | + | 0.0153117i | ||||
\(778\) | 2.19098 | − | 6.74315i | 0.0785505 | − | 0.241754i | ||||
\(779\) | 55.0617 | − | 11.7037i | 1.97279 | − | 0.419329i | ||||
\(780\) | −7.91338 | − | 1.68204i | −0.283344 | − | 0.0602267i | ||||
\(781\) | −60.1080 | − | 12.7764i | −2.15083 | − | 0.457174i | ||||
\(782\) | −5.67376 | − | 9.82724i | −0.202893 | − | 0.351422i | ||||
\(783\) | −3.72542 | − | 11.4657i | −0.133136 | − | 0.409750i | ||||
\(784\) | −1.90441 | − | 6.73597i | −0.0680146 | − | 0.240570i | ||||
\(785\) | 3.09017 | 0.110293 | ||||||||
\(786\) | 3.83838 | + | 1.70896i | 0.136910 | + | 0.0609564i | ||||
\(787\) | 5.51274 | − | 2.45443i | 0.196508 | − | 0.0874909i | −0.306123 | − | 0.951992i | \(-0.599032\pi\) |
0.502631 | + | 0.864501i | \(0.332365\pi\) | |||||||
\(788\) | 21.7918 | − | 9.70234i | 0.776301 | − | 0.345631i | ||||
\(789\) | −1.85856 | − | 0.827482i | −0.0661663 | − | 0.0294591i | ||||
\(790\) | 6.18034 | + | 19.0211i | 0.219887 | + | 0.676741i | ||||
\(791\) | −7.20307 | + | 15.3723i | −0.256112 | + | 0.546576i | ||||
\(792\) | 3.11803 | + | 9.59632i | 0.110795 | + | 0.340990i | ||||
\(793\) | 24.1074 | + | 41.7552i | 0.856079 | + | 1.48277i | ||||
\(794\) | −21.1248 | − | 4.49022i | −0.749691 | − | 0.159352i | ||||
\(795\) | 0.298033 | − | 0.132693i | 0.0105701 | − | 0.00470613i | ||||
\(796\) | 21.9266 | − | 4.66063i | 0.777166 | − | 0.165192i | ||||
\(797\) | −14.3090 | + | 44.0386i | −0.506851 | + | 1.55993i | 0.290784 | + | 0.956789i | \(0.406084\pi\) |
−0.797636 | + | 0.603140i | \(0.793916\pi\) | |||||||
\(798\) | 2.22477 | − | 9.55541i | 0.0787562 | − | 0.338258i | ||||
\(799\) | −71.1935 | −2.51864 | ||||||||
\(800\) | 2.50000 | + | 4.33013i | 0.0883883 | + | 0.153093i | ||||
\(801\) | −7.73607 | + | 13.3993i | −0.273341 | + | 0.473440i | ||||
\(802\) | 2.13992 | + | 20.3600i | 0.0755632 | + | 0.718936i | ||||
\(803\) | −20.2894 | + | 4.31264i | −0.715996 | + | 0.152190i | ||||
\(804\) | −0.190983 | + | 0.587785i | −0.00673545 | + | 0.0207296i | ||||
\(805\) | 8.33344 | − | 2.53084i | 0.293715 | − | 0.0892005i | ||||
\(806\) | −8.78115 | − | 27.0256i | −0.309303 | − | 0.951937i | ||||
\(807\) | −5.66312 | − | 9.80881i | −0.199351 | − | 0.345286i | ||||
\(808\) | 4.60532 | + | 0.978891i | 0.162015 | + | 0.0344373i | ||||
\(809\) | −19.6667 | + | 8.75617i | −0.691444 | + | 0.307851i | −0.722208 | − | 0.691676i | \(-0.756873\pi\) |
0.0307641 | + | 0.999527i | \(0.490206\pi\) | |||||||
\(810\) | −1.33419 | + | 12.6940i | −0.0468788 | + | 0.446022i | ||||
\(811\) | 8.01722 | − | 5.82485i | 0.281523 | − | 0.204538i | −0.438059 | − | 0.898946i | \(-0.644334\pi\) |
0.719581 | + | 0.694408i | \(0.244334\pi\) | |||||||
\(812\) | −5.25510 | − | 7.53486i | −0.184418 | − | 0.264422i | ||||
\(813\) | −6.04508 | − | 4.39201i | −0.212010 | − | 0.154035i | ||||
\(814\) | −1.34486 | − | 0.598772i | −0.0471374 | − | 0.0209869i | ||||
\(815\) | 4.19934 | − | 1.86967i | 0.147096 | − | 0.0654915i | ||||
\(816\) | −4.35207 | + | 1.93767i | −0.152353 | + | 0.0678319i | ||||
\(817\) | −8.97733 | + | 9.97033i | −0.314077 | + | 0.348818i | ||||
\(818\) | 1.47214 | 0.0514720 | ||||||||
\(819\) | −34.7187 | − | 20.9491i | −1.21317 | − | 0.732022i | ||||
\(820\) | 16.9721 | − | 12.3310i | 0.592693 | − | 0.430616i | ||||
\(821\) | 4.92443 | − | 1.04672i | 0.171864 | − | 0.0365308i | −0.121176 | − | 0.992631i | \(-0.538667\pi\) |
0.293040 | + | 0.956100i | \(0.405333\pi\) | |||||||
\(822\) | −1.02234 | − | 1.13542i | −0.0356582 | − | 0.0396025i | ||||
\(823\) | −0.792701 | − | 7.54205i | −0.0276318 | − | 0.262899i | −0.999612 | − | 0.0278383i | \(-0.991138\pi\) |
0.971981 | − | 0.235061i | \(-0.0755290\pi\) | |||||||
\(824\) | 1.47214 | + | 2.54981i | 0.0512843 | + | 0.0888270i | ||||
\(825\) | 3.68034 | + | 11.3269i | 0.128133 | + | 0.394353i | ||||
\(826\) | −2.66312 | − | 13.8380i | −0.0926618 | − | 0.481485i | ||||
\(827\) | −8.33688 | + | 6.05710i | −0.289902 | + | 0.210626i | −0.723225 | − | 0.690613i | \(-0.757341\pi\) |
0.433323 | + | 0.901239i | \(0.357341\pi\) | |||||||
\(828\) | 3.76988 | − | 0.801313i | 0.131012 | − | 0.0278475i | ||||
\(829\) | −16.8259 | − | 18.6870i | −0.584387 | − | 0.649028i | 0.376353 | − | 0.926476i | \(-0.377178\pi\) |
−0.960741 | + | 0.277448i | \(0.910511\pi\) | |||||||
\(830\) | −11.7743 | + | 5.24224i | −0.408691 | + | 0.181961i | ||||
\(831\) | 2.65348 | − | 2.94698i | 0.0920481 | − | 0.102230i | ||||
\(832\) | −5.85410 | −0.202954 | ||||||||
\(833\) | −53.1722 | + | 9.17181i | −1.84231 | + | 0.317784i | ||||
\(834\) | 3.00000 | + | 2.17963i | 0.103882 | + | 0.0754743i | ||||
\(835\) | −0.218296 | + | 0.242442i | −0.00755444 | + | 0.00839005i | ||||
\(836\) | 2.41718 | + | 22.9979i | 0.0835999 | + | 0.795400i | ||||
\(837\) | 15.3970 | − | 6.85518i | 0.532198 | − | 0.236950i | ||||
\(838\) | −1.27902 | + | 12.1690i | −0.0441829 | + | 0.420372i | ||||
\(839\) | 17.9443 | − | 13.0373i | 0.619505 | − | 0.450097i | −0.233244 | − | 0.972418i | \(-0.574934\pi\) |
0.852749 | + | 0.522322i | \(0.174934\pi\) | |||||||
\(840\) | −0.690983 | − | 3.59045i | −0.0238412 | − | 0.123882i | ||||
\(841\) | 13.7082 | + | 9.95959i | 0.472697 | + | 0.343434i | ||||
\(842\) | −16.1195 | + | 17.9025i | −0.555514 | + | 0.616960i | ||||
\(843\) | −5.25329 | + | 9.09896i | −0.180933 | + | 0.313385i | ||||
\(844\) | 10.0461 | + | 2.13536i | 0.345800 | + | 0.0735021i | ||||
\(845\) | −31.8254 | + | 35.3457i | −1.09483 | + | 1.21593i | ||||
\(846\) | 7.47214 | − | 22.9969i | 0.256897 | − | 0.790649i | ||||
\(847\) | 3.96681 | + | 9.39378i | 0.136301 | + | 0.322774i | ||||
\(848\) | 0.190983 | − | 0.138757i | 0.00655838 | − | 0.00476494i | ||||
\(849\) | −3.57295 | − | 6.18853i | −0.122623 | − | 0.212390i | ||||
\(850\) | 35.2090 | − | 15.6760i | 1.20766 | − | 0.537684i | ||||
\(851\) | −0.281153 | + | 0.486971i | −0.00963780 | + | 0.0166932i | ||||
\(852\) | 9.00217 | + | 4.00802i | 0.308409 | + | 0.137313i | ||||
\(853\) | 7.97214 | − | 24.5357i | 0.272961 | − | 0.840087i | −0.716791 | − | 0.697288i | \(-0.754390\pi\) |
0.989752 | − | 0.142799i | \(-0.0456102\pi\) | |||||||
\(854\) | −13.1463 | + | 17.3783i | −0.449856 | + | 0.594673i | ||||
\(855\) | −10.8541 | + | 33.4055i | −0.371202 | + | 1.14244i | ||||
\(856\) | 10.4132 | − | 11.5650i | 0.355916 | − | 0.395285i | ||||
\(857\) | −3.20820 | + | 5.55677i | −0.109590 | + | 0.189816i | −0.915604 | − | 0.402081i | \(-0.868287\pi\) |
0.806014 | + | 0.591896i | \(0.201621\pi\) | |||||||
\(858\) | −13.6396 | − | 2.89918i | −0.465647 | − | 0.0989763i | ||||
\(859\) | 4.85184 | − | 46.1621i | 0.165543 | − | 1.57503i | −0.524594 | − | 0.851353i | \(-0.675783\pi\) |
0.690137 | − | 0.723679i | \(-0.257550\pi\) | |||||||
\(860\) | −1.54508 | + | 4.75528i | −0.0526870 | + | 0.162154i | ||||
\(861\) | −14.6790 | + | 4.45799i | −0.500260 | + | 0.151928i | ||||
\(862\) | −21.8713 | − | 15.8904i | −0.744940 | − | 0.541231i | ||||
\(863\) | −2.40775 | + | 22.9083i | −0.0819609 | + | 0.779806i | 0.873924 | + | 0.486063i | \(0.161568\pi\) |
−0.955885 | + | 0.293743i | \(0.905099\pi\) | |||||||
\(864\) | −0.362937 | − | 3.45312i | −0.0123474 | − | 0.117477i | ||||
\(865\) | −2.26913 | − | 21.5893i | −0.0771526 | − | 0.734058i | ||||
\(866\) | 2.37365 | − | 22.5838i | 0.0806600 | − | 0.767429i | ||||
\(867\) | 8.10081 | + | 24.9317i | 0.275118 | + | 0.846726i | ||||
\(868\) | 9.70820 | − | 8.40755i | 0.329518 | − | 0.285371i | ||||
\(869\) | 10.6525 | + | 32.7849i | 0.361360 | + | 1.11215i | ||||
\(870\) | −2.39919 | − | 4.15551i | −0.0813401 | − | 0.140885i | ||||
\(871\) | 3.91716 | + | 4.35045i | 0.132728 | + | 0.147409i | ||||
\(872\) | 0.827091 | + | 0.918578i | 0.0280088 | + | 0.0311070i | ||||
\(873\) | 26.8732 | + | 11.9647i | 0.909521 | + | 0.404945i | ||||
\(874\) | 8.83282 | 0.298774 | ||||||||
\(875\) | 5.59017 | + | 29.0474i | 0.188982 | + | 0.981981i | ||||
\(876\) | 3.32624 | 0.112383 | ||||||||
\(877\) | 3.68565 | + | 1.64096i | 0.124455 | + | 0.0554111i | 0.468020 | − | 0.883718i | \(-0.344968\pi\) |
−0.343564 | + | 0.939129i | \(0.611634\pi\) | |||||||
\(878\) | −2.63923 | − | 2.93117i | −0.0890698 | − | 0.0989220i | ||||
\(879\) | −0.450835 | − | 0.500703i | −0.0152063 | − | 0.0168883i | ||||
\(880\) | 4.30902 | + | 7.46344i | 0.145257 | + | 0.251592i | ||||
\(881\) | −4.23607 | − | 13.0373i | −0.142717 | − | 0.439237i | 0.853994 | − | 0.520284i | \(-0.174174\pi\) |
−0.996710 | + | 0.0810466i | \(0.974174\pi\) | |||||||
\(882\) | 2.61803 | − | 18.1383i | 0.0881538 | − | 0.610747i | ||||
\(883\) | 5.02786 | + | 15.4742i | 0.169201 | + | 0.520747i | 0.999321 | − | 0.0368371i | \(-0.0117283\pi\) |
−0.830120 | + | 0.557584i | \(0.811728\pi\) | |||||||
\(884\) | −4.71681 | + | 44.8774i | −0.158643 | + | 1.50939i | ||||
\(885\) | −0.769401 | − | 7.32036i | −0.0258631 | − | 0.246071i | ||||
\(886\) | 0.328836 | + | 3.12866i | 0.0110475 | + | 0.105110i | ||||
\(887\) | −5.34398 | + | 50.8445i | −0.179433 | + | 1.70719i | 0.420624 | + | 0.907235i | \(0.361811\pi\) |
−0.600057 | + | 0.799957i | \(0.704855\pi\) | |||||||
\(888\) | 0.190983 | + | 0.138757i | 0.00640897 | + | 0.00465639i | ||||
\(889\) | 17.3846 | + | 16.2720i | 0.583060 | + | 0.545744i | ||||
\(890\) | −4.08359 | + | 12.5680i | −0.136882 | + | 0.421280i | ||||
\(891\) | −2.29963 | + | 21.8795i | −0.0770404 | + | 0.732990i | ||||
\(892\) | −10.3860 | − | 2.20761i | −0.347749 | − | 0.0739164i | ||||
\(893\) | 27.7082 | − | 47.9920i | 0.927220 | − | 1.60599i | ||||
\(894\) | 1.97010 | − | 2.18802i | 0.0658901 | − | 0.0731784i | ||||
\(895\) | 3.98278 | − | 12.2577i | 0.133130 | − | 0.409731i | ||||
\(896\) | −1.02924 | − | 2.43735i | −0.0343846 | − | 0.0814260i | ||||
\(897\) | −1.64590 | + | 5.06555i | −0.0549549 | + | 0.169134i | ||||
\(898\) | −4.53626 | − | 2.01967i | −0.151377 | − | 0.0673974i | ||||
\(899\) | 8.42705 | − | 14.5961i | 0.281058 | − | 0.486807i | ||||
\(900\) | 1.36830 | + | 13.0185i | 0.0456098 | + | 0.433949i | ||||
\(901\) | −0.909830 | − | 1.57587i | −0.0303108 | − | 0.0524999i | ||||
\(902\) | 29.2533 | − | 21.2538i | 0.974028 | − | 0.707673i | ||||
\(903\) | 2.20587 | − | 2.91598i | 0.0734067 | − | 0.0970378i | ||||
\(904\) | −1.98278 | + | 6.10237i | −0.0659463 | + | 0.202962i | ||||
\(905\) | 2.11926 | − | 2.35368i | 0.0704466 | − | 0.0782389i | ||||
\(906\) | 10.6506 | + | 2.26386i | 0.353843 | + | 0.0752116i | ||||
\(907\) | −17.1353 | + | 29.6791i | −0.568967 | + | 0.985479i | 0.427702 | + | 0.903920i | \(0.359323\pi\) |
−0.996668 | + | 0.0815595i | \(0.974010\pi\) | |||||||
\(908\) | −13.3453 | + | 14.8215i | −0.442880 | + | 0.491868i | ||||
\(909\) | 9.97214 | + | 7.24518i | 0.330755 | + | 0.240307i | ||||
\(910\) | −32.7254 | − | 11.3364i | −1.08484 | − | 0.375799i | ||||
\(911\) | 17.8262 | − | 12.9515i | 0.590610 | − | 0.429103i | −0.251924 | − | 0.967747i | \(-0.581063\pi\) |
0.842533 | + | 0.538644i | \(0.181063\pi\) | |||||||
\(912\) | 0.387613 | − | 3.68789i | 0.0128351 | − | 0.122118i | ||||
\(913\) | −20.2942 | + | 9.03557i | −0.671640 | + | 0.299034i | ||||
\(914\) | −1.12514 | − | 10.7050i | −0.0372162 | − | 0.354089i | ||||
\(915\) | −7.61602 | + | 8.45845i | −0.251778 | + | 0.279628i | ||||
\(916\) | −9.97214 | − | 7.24518i | −0.329489 | − | 0.239388i | ||||
\(917\) | 15.4004 | + | 9.29256i | 0.508567 | + | 0.306867i | ||||
\(918\) | −26.7639 | −0.883341 | ||||||||
\(919\) | −10.5854 | + | 11.7563i | −0.349181 | + | 0.387805i | −0.891993 | − | 0.452050i | \(-0.850693\pi\) |
0.542812 | + | 0.839854i | \(0.317360\pi\) | |||||||
\(920\) | 3.00721 | − | 1.33889i | 0.0991446 | − | 0.0441420i | ||||
\(921\) | 5.42762 | + | 6.02799i | 0.178846 | + | 0.198629i | ||||
\(922\) | 34.3025 | − | 7.29123i | 1.12969 | − | 0.240124i | ||||
\(923\) | 75.5132 | − | 54.8635i | 2.48555 | − | 1.80585i | ||||
\(924\) | −1.19098 | − | 6.18853i | −0.0391805 | − | 0.203588i | ||||
\(925\) | −1.54508 | − | 1.12257i | −0.0508021 | − | 0.0369099i | ||||
\(926\) | 5.88197 | + | 10.1879i | 0.193293 | + | 0.334794i | ||||
\(927\) | 0.805727 | + | 7.66598i | 0.0264635 | + | 0.251784i | ||||
\(928\) | −2.32331 | − | 2.58030i | −0.0762665 | − | 0.0847025i | ||||
\(929\) | −17.2875 | + | 3.67458i | −0.567186 | + | 0.120559i | −0.482575 | − | 0.875855i | \(-0.660298\pi\) |
−0.0846115 | + | 0.996414i | \(0.526965\pi\) | |||||||
\(930\) | 5.42705 | − | 3.94298i | 0.177960 | − | 0.129296i | ||||
\(931\) | 14.5116 | − | 39.4134i | 0.475599 | − | 1.29172i | ||||
\(932\) | −25.8328 | −0.846182 | ||||||||
\(933\) | 1.48198 | − | 1.64590i | 0.0485178 | − | 0.0538845i | ||||
\(934\) | 4.53626 | − | 2.01967i | 0.148431 | − | 0.0660858i | ||||
\(935\) | 60.6864 | − | 27.0193i | 1.98466 | − | 0.883627i | ||||
\(936\) | −14.0012 | − | 6.23374i | −0.457644 | − | 0.203756i | ||||
\(937\) | −30.6803 | − | 22.2906i | −1.00228 | − | 0.728201i | −0.0397065 | − | 0.999211i | \(-0.512642\pi\) |
−0.962576 | + | 0.271010i | \(0.912642\pi\) | |||||||
\(938\) | −1.12260 | + | 2.39578i | −0.0366543 | + | 0.0782250i | ||||
\(939\) | 11.2361 | − | 8.16348i | 0.366675 | − | 0.266405i | ||||
\(940\) | 2.15877 | − | 20.5393i | 0.0704114 | − | 0.669919i | ||||
\(941\) | 40.3098 | − | 17.9471i | 1.31406 | − | 0.585059i | 0.374434 | − | 0.927253i | \(-0.377837\pi\) |
0.939629 | + | 0.342195i | \(0.111170\pi\) | |||||||
\(942\) | −0.835438 | − | 0.177578i | −0.0272200 | − | 0.00578580i | ||||
\(943\) | −6.90576 | − | 11.9611i | −0.224883 | − | 0.389508i | ||||
\(944\) | −1.64590 | − | 5.06555i | −0.0535694 | − | 0.164870i | ||||
\(945\) | 4.65805 | − | 20.0063i | 0.151526 | − | 0.650806i | ||||
\(946\) | −2.66312 | + | 8.19624i | −0.0865855 | + | 0.266483i | ||||
\(947\) | −30.3771 | + | 6.45685i | −0.987123 | + | 0.209819i | −0.673064 | − | 0.739584i | \(-0.735022\pi\) |
−0.314059 | + | 0.949404i | \(0.601689\pi\) | |||||||
\(948\) | −0.577819 | − | 5.49758i | −0.0187667 | − | 0.178553i | ||||
\(949\) | 15.7533 | − | 27.2855i | 0.511373 | − | 0.885725i | ||||
\(950\) | −3.13585 | + | 29.8357i | −0.101741 | + | 0.967997i | ||||
\(951\) | 15.9098 | 0.515912 | ||||||||
\(952\) | −19.5139 | + | 5.92633i | −0.632450 | + | 0.192073i | ||||
\(953\) | −6.39261 | + | 19.6744i | −0.207077 | + | 0.637317i | 0.792545 | + | 0.609814i | \(0.208756\pi\) |
−0.999622 | + | 0.0275035i | \(0.991244\pi\) | |||||||
\(954\) | 0.604528 | − | 0.128496i | 0.0195723 | − | 0.00416023i | ||||
\(955\) | 32.2018 | − | 14.3372i | 1.04202 | − | 0.463939i | ||||
\(956\) | −5.54978 | − | 1.17964i | −0.179493 | − | 0.0381523i | ||||
\(957\) | −4.13525 | − | 7.16247i | −0.133674 | − | 0.231530i | ||||
\(958\) | −1.76393 | − | 5.42882i | −0.0569901 | − | 0.175397i | ||||
\(959\) | −3.74159 | − | 5.36476i | −0.120822 | − | 0.173237i | ||||
\(960\) | −0.427051 | − | 1.31433i | −0.0137830 | − | 0.0424197i | ||||
\(961\) | −6.79467 | − | 3.02518i | −0.219183 | − | 0.0975865i | ||||
\(962\) | 2.04275 | − | 0.909491i | 0.0658609 | − | 0.0293232i | ||||
\(963\) | 37.2203 | − | 16.5715i | 1.19941 | − | 0.534010i | ||||
\(964\) | −9.91572 | − | 4.41476i | −0.319364 | − | 0.142190i | ||||
\(965\) | −53.2148 | −1.71304 | ||||||||
\(966\) | −2.39841 | + | 0.205338i | −0.0771676 | + | 0.00660663i | ||||
\(967\) | −11.3090 | − | 34.8056i | −0.363673 | − | 1.11927i | −0.950808 | − | 0.309782i | \(-0.899744\pi\) |
0.587134 | − | 0.809490i | \(-0.300256\pi\) | |||||||
\(968\) | 1.92705 | + | 3.33775i | 0.0619378 | + | 0.107279i | ||||
\(969\) | −27.9590 | − | 5.94286i | −0.898172 | − | 0.190912i | ||||
\(970\) | 24.5756 | + | 5.22370i | 0.789074 | + | 0.167723i | ||||
\(971\) | 38.4460 | − | 8.17196i | 1.23379 | − | 0.262251i | 0.455547 | − | 0.890212i | \(-0.349444\pi\) |
0.778245 | + | 0.627961i | \(0.216110\pi\) | |||||||
\(972\) | 4.30902 | − | 13.2618i | 0.138212 | − | 0.425372i | ||||
\(973\) | 11.5897 | + | 10.8480i | 0.371549 | + | 0.347770i | ||||
\(974\) | −40.5967 | −1.30080 | ||||||||
\(975\) | −16.5262 | − | 7.35793i | −0.529262 | − | 0.235643i | ||||
\(976\) | −4.11803 | + | 7.13264i | −0.131815 | + | 0.228310i | ||||
\(977\) | 4.44092 | + | 42.2526i | 0.142078 | + | 1.35178i | 0.800592 | + | 0.599210i | \(0.204519\pi\) |
−0.658514 | + | 0.752569i | \(0.728815\pi\) | |||||||
\(978\) | −1.24275 | + | 0.264154i | −0.0397386 | + | 0.00844671i | ||||
\(979\) | −7.03851 | + | 21.6623i | −0.224952 | + | 0.692330i | ||||
\(980\) | −1.03375 | − | 15.6183i | −0.0330219 | − | 0.498908i | ||||
\(981\) | 1.00000 | + | 3.07768i | 0.0319275 | + | 0.0982629i | ||||
\(982\) | −10.5729 | − | 18.3129i | −0.337396 | − | 0.584388i | ||||
\(983\) | 18.7404 | + | 3.98339i | 0.597725 | + | 0.127050i | 0.496832 | − | 0.867847i | \(-0.334497\pi\) |
0.100893 | + | 0.994897i | \(0.467830\pi\) | |||||||
\(984\) | −5.29708 | + | 2.35841i | −0.168865 | + | 0.0751834i | ||||
\(985\) | 52.1738 | − | 11.0899i | 1.66240 | − | 0.353353i | ||||
\(986\) | −21.6525 | + | 15.7314i | −0.689555 | + | 0.500991i | ||||
\(987\) | −6.40804 | + | 13.6756i | −0.203970 | + | 0.435299i | ||||
\(988\) | −28.4164 | − | 20.6457i | −0.904046 | − | 0.656828i | ||||
\(989\) | 3.00721 | + | 1.33889i | 0.0956236 | + | 0.0425744i | ||||
\(990\) | 2.35840 | + | 22.4387i | 0.0749550 | + | 0.713149i | ||||
\(991\) | 16.2282 | − | 7.22524i | 0.515504 | − | 0.229517i | −0.132459 | − | 0.991188i | \(-0.542287\pi\) |
0.647964 | + | 0.761671i | \(0.275621\pi\) | |||||||
\(992\) | 3.24803 | − | 3.60730i | 0.103125 | − | 0.114532i | ||||
\(993\) | −17.6180 | −0.559091 | ||||||||
\(994\) | 36.1188 | + | 21.7939i | 1.14562 | + | 0.691261i | ||||
\(995\) | 50.1246 | 1.58906 | ||||||||
\(996\) | 3.48446 | − | 0.740645i | 0.110409 | − | 0.0234682i | ||||
\(997\) | 10.1346 | + | 11.2556i | 0.320965 | + | 0.356468i | 0.881937 | − | 0.471367i | \(-0.156239\pi\) |
−0.560972 | + | 0.827835i | \(0.689572\pi\) | |||||||
\(998\) | 1.25434 | + | 11.9343i | 0.0397055 | + | 0.377772i | ||||
\(999\) | 0.663119 | + | 1.14856i | 0.0209802 | + | 0.0363387i |
(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 | 350.2.q.a.11.1 | ✓ | 8 | |
7.2 | even | 3 | inner | 350.2.q.a.261.1 | yes | 8 | |
25.16 | even | 5 | inner | 350.2.q.a.291.1 | yes | 8 | |
175.16 | even | 15 | inner | 350.2.q.a.191.1 | yes | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
350.2.q.a.11.1 | ✓ | 8 | 1.1 | even | 1 | trivial | |
350.2.q.a.191.1 | yes | 8 | 175.16 | even | 15 | inner | |
350.2.q.a.261.1 | yes | 8 | 7.2 | even | 3 | inner | |
350.2.q.a.291.1 | yes | 8 | 25.16 | even | 5 | inner |