Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [805,2,Mod(37,805)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(805, base_ring=CyclotomicField(132))
chi = DirichletCharacter(H, H._module([33, 44, 126]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("805.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 805 = 5 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 805.bs (of order \(132\), degree \(40\), 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: | \(6.42795736271\) |
Analytic rank: | \(0\) |
Dimension: | \(3680\) |
Relative dimension: | \(92\) over \(\Q(\zeta_{132})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{132}]$ |
Embedding invariants
Embedding label | 37.16 | ||
Character | \(\chi\) | \(=\) | 805.37 |
Dual form | 805.2.bs.a.718.16 |
$q$-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 \(\left(\mathbb{Z}/805\mathbb{Z}\right)^\times\).
\(n\) | \(162\) | \(281\) | \(346\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{21}{22}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.85265 | + | 1.12925i | −1.31002 | + | 0.798499i | −0.988906 | − | 0.148542i | \(-0.952542\pi\) |
−0.321114 | + | 0.947041i | \(0.604057\pi\) | |||||||
\(3\) | 1.44589 | + | 2.97649i | 0.834786 | + | 1.71848i | 0.683451 | + | 0.729997i | \(0.260478\pi\) |
0.151335 | + | 0.988483i | \(0.451643\pi\) | |||||||
\(4\) | 1.24065 | − | 2.40653i | 0.620325 | − | 1.20326i | ||||
\(5\) | 0.806258 | − | 2.08565i | 0.360569 | − | 0.932732i | ||||
\(6\) | −6.03992 | − | 3.88162i | −2.46579 | − | 1.58467i | ||||
\(7\) | −0.440107 | + | 2.60889i | −0.166345 | + | 0.986068i | ||||
\(8\) | 0.109510 | + | 1.53114i | 0.0387175 | + | 0.541341i | ||||
\(9\) | −4.91443 | + | 6.24921i | −1.63814 | + | 2.08307i | ||||
\(10\) | 0.861507 | + | 4.77444i | 0.272432 | + | 1.50981i | ||||
\(11\) | 2.76511 | − | 0.670808i | 0.833711 | − | 0.202256i | 0.203888 | − | 0.978994i | \(-0.434642\pi\) |
0.629824 | + | 0.776738i | \(0.283127\pi\) | |||||||
\(12\) | 8.95685 | + | 0.213213i | 2.58562 | + | 0.0615492i | ||||
\(13\) | 3.67527 | + | 1.37080i | 1.01934 | + | 0.380193i | 0.802906 | − | 0.596105i | \(-0.203286\pi\) |
0.216430 | + | 0.976298i | \(0.430559\pi\) | |||||||
\(14\) | −2.13072 | − | 5.33034i | −0.569459 | − | 1.42459i | ||||
\(15\) | 7.37369 | − | 0.615806i | 1.90388 | − | 0.159000i | ||||
\(16\) | 1.20909 | + | 1.69793i | 0.302272 | + | 0.424482i | ||||
\(17\) | 3.79148 | + | 4.17076i | 0.919568 | + | 1.01156i | 0.999891 | + | 0.0147898i | \(0.00470791\pi\) |
−0.0803228 | + | 0.996769i | \(0.525595\pi\) | |||||||
\(18\) | 2.04781 | − | 17.1272i | 0.482673 | − | 4.03692i | ||||
\(19\) | 0.162970 | + | 3.42116i | 0.0373879 | + | 0.784869i | 0.937242 | + | 0.348678i | \(0.113369\pi\) |
−0.899854 | + | 0.436190i | \(0.856327\pi\) | |||||||
\(20\) | −4.01889 | − | 4.52785i | −0.898652 | − | 1.01246i | ||||
\(21\) | −8.40169 | + | 2.46220i | −1.83340 | + | 0.537295i | ||||
\(22\) | −4.36526 | + | 4.36526i | −0.930677 | + | 0.930677i | ||||
\(23\) | 2.45981 | − | 4.11696i | 0.512905 | − | 0.858445i | ||||
\(24\) | −4.39910 | + | 2.53982i | −0.897963 | + | 0.518439i | ||||
\(25\) | −3.69990 | − | 3.36315i | −0.739979 | − | 0.672630i | ||||
\(26\) | −8.35696 | + | 1.61067i | −1.63893 | + | 0.315879i | ||||
\(27\) | −16.0061 | − | 3.48190i | −3.08037 | − | 0.670093i | ||||
\(28\) | 5.73234 | + | 4.29585i | 1.08331 | + | 0.811839i | ||||
\(29\) | −1.58555 | + | 2.46716i | −0.294429 | + | 0.458141i | −0.956680 | − | 0.291142i | \(-0.905965\pi\) |
0.662251 | + | 0.749282i | \(0.269601\pi\) | |||||||
\(30\) | −12.9655 | + | 9.46760i | −2.36716 | + | 1.72854i | ||||
\(31\) | −4.52301 | − | 0.871739i | −0.812357 | − | 0.156569i | −0.233878 | − | 0.972266i | \(-0.575142\pi\) |
−0.578479 | + | 0.815697i | \(0.696354\pi\) | |||||||
\(32\) | −6.97963 | − | 2.98885i | −1.23384 | − | 0.528359i | ||||
\(33\) | 5.99470 | + | 7.26041i | 1.04354 | + | 1.26388i | ||||
\(34\) | −11.7341 | − | 3.44544i | −2.01238 | − | 0.590888i | ||||
\(35\) | 5.08640 | + | 3.02135i | 0.859758 | + | 0.510701i | ||||
\(36\) | 8.94179 | + | 19.5798i | 1.49030 | + | 3.26330i | ||||
\(37\) | 7.01066 | − | 0.838228i | 1.15255 | − | 0.137804i | 0.479594 | − | 0.877490i | \(-0.340784\pi\) |
0.672952 | + | 0.739686i | \(0.265026\pi\) | |||||||
\(38\) | −4.16527 | − | 6.15418i | −0.675695 | − | 0.998339i | ||||
\(39\) | 1.23385 | + | 12.9215i | 0.197574 | + | 2.06909i | ||||
\(40\) | 3.28173 | + | 1.00610i | 0.518887 | + | 0.159078i | ||||
\(41\) | −0.0973664 | − | 0.677198i | −0.0152061 | − | 0.105761i | 0.980805 | − | 0.194992i | \(-0.0624681\pi\) |
−0.996011 | + | 0.0892313i | \(0.971559\pi\) | |||||||
\(42\) | 12.7849 | − | 14.0492i | 1.97276 | − | 2.16783i | ||||
\(43\) | 0.275157 | − | 3.84720i | 0.0419611 | − | 0.586693i | −0.932360 | − | 0.361531i | \(-0.882254\pi\) |
0.974321 | − | 0.225162i | \(-0.0722911\pi\) | |||||||
\(44\) | 1.81622 | − | 7.48654i | 0.273805 | − | 1.12864i | ||||
\(45\) | 9.07138 | + | 15.2883i | 1.35228 | + | 2.27904i | ||||
\(46\) | 0.0919095 | + | 10.4050i | 0.0135513 | + | 1.53413i | ||||
\(47\) | −0.995364 | + | 0.266707i | −0.145189 | + | 0.0389032i | −0.330681 | − | 0.943742i | \(-0.607279\pi\) |
0.185493 | + | 0.982646i | \(0.440612\pi\) | |||||||
\(48\) | −3.30566 | + | 6.05386i | −0.477131 | + | 0.873800i | ||||
\(49\) | −6.61261 | − | 2.29638i | −0.944659 | − | 0.328054i | ||||
\(50\) | 10.6524 | + | 2.05263i | 1.50648 | + | 0.290286i | ||||
\(51\) | −6.93219 | + | 17.3158i | −0.970701 | + | 2.42469i | ||||
\(52\) | 7.85860 | − | 7.14394i | 1.08979 | − | 0.990686i | ||||
\(53\) | 4.98715 | + | 4.11774i | 0.685038 | + | 0.565615i | 0.912952 | − | 0.408066i | \(-0.133797\pi\) |
−0.227915 | + | 0.973681i | \(0.573191\pi\) | |||||||
\(54\) | 33.5855 | − | 11.6241i | 4.57041 | − | 1.58183i | ||||
\(55\) | 0.830318 | − | 6.30790i | 0.111960 | − | 0.850557i | ||||
\(56\) | −4.04278 | − | 0.388168i | −0.540240 | − | 0.0518712i | ||||
\(57\) | −9.94743 | + | 5.43171i | −1.31757 | + | 0.719447i | ||||
\(58\) | 0.151426 | − | 6.36126i | 0.0198832 | − | 0.835275i | ||||
\(59\) | −5.48141 | − | 3.90330i | −0.713619 | − | 0.508166i | 0.164638 | − | 0.986354i | \(-0.447354\pi\) |
−0.878258 | + | 0.478188i | \(0.841294\pi\) | |||||||
\(60\) | 7.66622 | − | 18.5090i | 0.989705 | − | 2.38950i | ||||
\(61\) | −8.17062 | + | 2.82788i | −1.04614 | + | 0.362073i | −0.795466 | − | 0.605999i | \(-0.792774\pi\) |
−0.250675 | + | 0.968071i | \(0.580652\pi\) | |||||||
\(62\) | 9.36396 | − | 3.49258i | 1.18922 | − | 0.443558i | ||||
\(63\) | −14.1406 | − | 15.5715i | −1.78155 | − | 1.96183i | ||||
\(64\) | 12.1795 | − | 1.75115i | 1.52244 | − | 0.218894i | ||||
\(65\) | 5.82224 | − | 6.56012i | 0.722160 | − | 0.813682i | ||||
\(66\) | −19.3049 | − | 6.68148i | −2.37627 | − | 0.822433i | ||||
\(67\) | −12.6858 | + | 0.301979i | −1.54982 | + | 0.0368926i | −0.789946 | − | 0.613176i | \(-0.789891\pi\) |
−0.759875 | + | 0.650069i | \(0.774740\pi\) | |||||||
\(68\) | 14.7409 | − | 3.94982i | 1.78760 | − | 0.478986i | ||||
\(69\) | 15.8107 | + | 1.36893i | 1.90339 | + | 0.164799i | ||||
\(70\) | −12.8352 | + | 0.146312i | −1.53409 | + | 0.0174876i | ||||
\(71\) | −1.22232 | + | 0.358905i | −0.145062 | + | 0.0425942i | −0.353458 | − | 0.935451i | \(-0.614994\pi\) |
0.208395 | + | 0.978045i | \(0.433176\pi\) | |||||||
\(72\) | −10.1066 | − | 6.84036i | −1.19108 | − | 0.806144i | ||||
\(73\) | −3.50538 | + | 1.12055i | −0.410274 | + | 0.131150i | −0.502478 | − | 0.864590i | \(-0.667578\pi\) |
0.0922047 | + | 0.995740i | \(0.470609\pi\) | |||||||
\(74\) | −12.0417 | + | 9.46972i | −1.39982 | + | 1.10083i | ||||
\(75\) | 4.66074 | − | 15.8755i | 0.538176 | − | 1.83314i | ||||
\(76\) | 8.43530 | + | 3.85227i | 0.967596 | + | 0.441886i | ||||
\(77\) | 0.533122 | + | 7.50909i | 0.0607548 | + | 0.855740i | ||||
\(78\) | −16.8774 | − | 22.5456i | −1.91099 | − | 2.55278i | ||||
\(79\) | 2.05358 | + | 0.196093i | 0.231046 | + | 0.0220622i | 0.209937 | − | 0.977715i | \(-0.432674\pi\) |
0.0211092 | + | 0.999777i | \(0.493280\pi\) | |||||||
\(80\) | 4.51612 | − | 1.15277i | 0.504918 | − | 0.128884i | ||||
\(81\) | −7.15622 | − | 29.4983i | −0.795135 | − | 3.27759i | ||||
\(82\) | 0.945110 | + | 1.14466i | 0.104370 | + | 0.126406i | ||||
\(83\) | 9.05819 | − | 6.78088i | 0.994266 | − | 0.744298i | 0.0274109 | − | 0.999624i | \(-0.491274\pi\) |
0.966855 | + | 0.255326i | \(0.0821828\pi\) | |||||||
\(84\) | −4.49822 | + | 23.2736i | −0.490796 | + | 2.53936i | ||||
\(85\) | 11.7557 | − | 4.54499i | 1.27508 | − | 0.492973i | ||||
\(86\) | 3.83467 | + | 7.43823i | 0.413503 | + | 0.802085i | ||||
\(87\) | −9.63603 | − | 1.15213i | −1.03309 | − | 0.123521i | ||||
\(88\) | 1.32991 | + | 4.16032i | 0.141769 | + | 0.443492i | ||||
\(89\) | 4.96167 | − | 0.956284i | 0.525936 | − | 0.101366i | 0.0806298 | − | 0.996744i | \(-0.474307\pi\) |
0.445307 | + | 0.895378i | \(0.353095\pi\) | |||||||
\(90\) | −34.0703 | − | 18.0800i | −3.59133 | − | 1.90579i | ||||
\(91\) | −5.19379 | + | 8.98507i | −0.544457 | + | 0.941892i | ||||
\(92\) | −6.85580 | − | 11.0273i | −0.714767 | − | 1.14967i | ||||
\(93\) | −3.94506 | − | 14.7232i | −0.409084 | − | 1.52672i | ||||
\(94\) | 1.54288 | − | 1.61813i | 0.159136 | − | 0.166897i | ||||
\(95\) | 7.26676 | + | 2.41844i | 0.745553 | + | 0.248127i | ||||
\(96\) | −1.19549 | − | 25.0964i | −0.122014 | − | 2.56139i | ||||
\(97\) | −3.49064 | − | 2.61306i | −0.354421 | − | 0.265316i | 0.407200 | − | 0.913339i | \(-0.366505\pi\) |
−0.761621 | + | 0.648023i | \(0.775596\pi\) | |||||||
\(98\) | 14.8440 | − | 3.21289i | 1.49947 | − | 0.324551i | ||||
\(99\) | −9.39692 | + | 20.5764i | −0.944426 | + | 2.06800i | ||||
\(100\) | −12.6838 | + | 4.73140i | −1.26838 | + | 0.473140i | ||||
\(101\) | 5.06385 | − | 2.02726i | 0.503872 | − | 0.201720i | −0.105779 | − | 0.994390i | \(-0.533734\pi\) |
0.609651 | + | 0.792670i | \(0.291309\pi\) | |||||||
\(102\) | −6.71089 | − | 39.9082i | −0.664477 | − | 3.95150i | ||||
\(103\) | −5.18034 | − | 0.123315i | −0.510434 | − | 0.0121506i | −0.232208 | − | 0.972666i | \(-0.574595\pi\) |
−0.278226 | + | 0.960516i | \(0.589747\pi\) | |||||||
\(104\) | −1.69642 | + | 5.77749i | −0.166348 | + | 0.566529i | ||||
\(105\) | −1.63864 | + | 19.5082i | −0.159915 | + | 1.90380i | ||||
\(106\) | −13.8894 | − | 1.99699i | −1.34906 | − | 0.193965i | ||||
\(107\) | −1.28843 | − | 0.625883i | −0.124558 | − | 0.0605064i | 0.373617 | − | 0.927583i | \(-0.378117\pi\) |
−0.498175 | + | 0.867077i | \(0.665996\pi\) | |||||||
\(108\) | −28.2372 | + | 34.1992i | −2.71713 | + | 3.29081i | ||||
\(109\) | 0.309737 | − | 6.50217i | 0.0296674 | − | 0.622795i | −0.934254 | − | 0.356608i | \(-0.883933\pi\) |
0.963921 | − | 0.266187i | \(-0.0857638\pi\) | |||||||
\(110\) | 5.58490 | + | 12.6240i | 0.532499 | + | 1.20365i | ||||
\(111\) | 12.6316 | + | 19.6552i | 1.19894 | + | 1.86559i | ||||
\(112\) | −4.96183 | + | 2.40711i | −0.468849 | + | 0.227450i | ||||
\(113\) | 5.01361 | + | 2.73764i | 0.471641 | + | 0.257535i | 0.697446 | − | 0.716637i | \(-0.254320\pi\) |
−0.225805 | + | 0.974172i | \(0.572501\pi\) | |||||||
\(114\) | 12.2953 | − | 21.2962i | 1.15156 | − | 1.99457i | ||||
\(115\) | −6.60331 | − | 8.44963i | −0.615762 | − | 0.787933i | ||||
\(116\) | 3.97018 | + | 6.87655i | 0.368622 | + | 0.638472i | ||||
\(117\) | −26.6283 | + | 16.2308i | −2.46179 | + | 1.50054i | ||||
\(118\) | 14.5629 | + | 1.04156i | 1.34063 | + | 0.0958834i | ||||
\(119\) | −12.5497 | + | 8.05596i | −1.15043 | + | 0.738489i | ||||
\(120\) | 1.75038 | + | 11.2228i | 0.159787 | + | 1.02449i | ||||
\(121\) | −2.58135 | + | 1.33078i | −0.234668 | + | 0.120980i | ||||
\(122\) | 11.9439 | − | 14.4657i | 1.08135 | − | 1.30966i | ||||
\(123\) | 1.87489 | − | 1.26896i | 0.169054 | − | 0.114419i | ||||
\(124\) | −7.70934 | + | 9.80322i | −0.692319 | + | 0.880355i | ||||
\(125\) | −9.99743 | + | 5.00513i | −0.894197 | + | 0.447673i | ||||
\(126\) | 43.7817 | + | 12.8803i | 3.90039 | + | 1.14747i | ||||
\(127\) | 8.15419 | + | 14.9333i | 0.723567 | + | 1.32511i | 0.937404 | + | 0.348245i | \(0.113222\pi\) |
−0.213836 | + | 0.976869i | \(0.568596\pi\) | |||||||
\(128\) | −8.87717 | + | 7.32961i | −0.784639 | + | 0.647852i | ||||
\(129\) | 11.8490 | − | 4.74363i | 1.04325 | − | 0.417653i | ||||
\(130\) | −3.37856 | + | 18.7283i | −0.296319 | + | 1.64258i | ||||
\(131\) | −7.89774 | − | 11.0908i | −0.690029 | − | 0.969010i | −0.999834 | − | 0.0182097i | \(-0.994203\pi\) |
0.309806 | − | 0.950800i | \(-0.399736\pi\) | |||||||
\(132\) | 24.9097 | − | 5.41877i | 2.16811 | − | 0.471643i | ||||
\(133\) | −8.99716 | − | 1.08051i | −0.780153 | − | 0.0936917i | ||||
\(134\) | 23.1614 | − | 14.8849i | 2.00084 | − | 1.28586i | ||||
\(135\) | −20.1671 | + | 30.5758i | −1.73570 | + | 2.63154i | ||||
\(136\) | −5.97084 | + | 6.26203i | −0.511995 | + | 0.536965i | ||||
\(137\) | 22.3667 | + | 5.99313i | 1.91091 | + | 0.512028i | 0.993460 | + | 0.114185i | \(0.0364256\pi\) |
0.917454 | + | 0.397843i | \(0.130241\pi\) | |||||||
\(138\) | −30.8375 | + | 15.3181i | −2.62507 | + | 1.30396i | ||||
\(139\) | 4.08190i | 0.346223i | 0.984902 | + | 0.173111i | \(0.0553820\pi\) | ||||
−0.984902 | + | 0.173111i | \(0.944618\pi\) | |||||||
\(140\) | 13.5814 | − | 8.49211i | 1.14784 | − | 0.717715i | ||||
\(141\) | −2.23304 | − | 2.57706i | −0.188056 | − | 0.217028i | ||||
\(142\) | 1.85923 | − | 2.04522i | 0.156023 | − | 0.171631i | ||||
\(143\) | 11.0821 | + | 1.32502i | 0.926729 | + | 0.110804i | ||||
\(144\) | −16.5527 | − | 0.788502i | −1.37939 | − | 0.0657085i | ||||
\(145\) | 3.86728 | + | 5.29608i | 0.321160 | + | 0.439815i | ||||
\(146\) | 5.22886 | − | 6.03442i | 0.432743 | − | 0.499412i | ||||
\(147\) | −2.72596 | − | 23.0027i | −0.224833 | − | 1.89723i | ||||
\(148\) | 6.68056 | − | 17.9113i | 0.549139 | − | 1.47230i | ||||
\(149\) | 14.5704 | − | 13.8929i | 1.19366 | − | 1.13815i | 0.206491 | − | 0.978449i | \(-0.433796\pi\) |
0.987166 | − | 0.159700i | \(-0.0510528\pi\) | |||||||
\(150\) | 9.29262 | + | 34.6748i | 0.758739 | + | 2.83118i | ||||
\(151\) | 12.9119 | − | 18.1322i | 1.05076 | − | 1.47558i | 0.180126 | − | 0.983644i | \(-0.442350\pi\) |
0.870631 | − | 0.491937i | \(-0.163711\pi\) | |||||||
\(152\) | −5.22045 | + | 0.624181i | −0.423434 | + | 0.0506278i | ||||
\(153\) | −44.6969 | + | 3.19679i | −3.61353 | + | 0.258445i | ||||
\(154\) | −9.46731 | − | 13.3097i | −0.762897 | − | 1.07252i | ||||
\(155\) | −5.46486 | + | 8.73059i | −0.438948 | + | 0.701258i | ||||
\(156\) | 32.6266 | + | 13.0617i | 2.61222 | + | 1.04577i | ||||
\(157\) | 1.55809 | − | 0.498069i | 0.124349 | − | 0.0397502i | −0.241662 | − | 0.970360i | \(-0.577693\pi\) |
0.366012 | + | 0.930610i | \(0.380723\pi\) | |||||||
\(158\) | −4.02600 | + | 1.95571i | −0.320291 | + | 0.155588i | ||||
\(159\) | −5.04555 | + | 20.7980i | −0.400138 | + | 1.64939i | ||||
\(160\) | −11.8611 | + | 12.1473i | −0.937701 | + | 0.960328i | ||||
\(161\) | 9.65811 | + | 8.22927i | 0.761166 | + | 0.648557i | ||||
\(162\) | 46.5689 | + | 46.5689i | 3.65880 | + | 3.65880i | ||||
\(163\) | 6.38868 | + | 10.4813i | 0.500400 | + | 0.820959i | 0.998946 | − | 0.0459050i | \(-0.0146172\pi\) |
−0.498545 | + | 0.866864i | \(0.666132\pi\) | |||||||
\(164\) | −1.75049 | − | 0.605851i | −0.136690 | − | 0.0473090i | ||||
\(165\) | 19.9760 | − | 6.64910i | 1.55513 | − | 0.517632i | ||||
\(166\) | −9.12435 | + | 22.7915i | −0.708187 | + | 1.76897i | ||||
\(167\) | 3.09500 | + | 14.2275i | 0.239499 | + | 1.10096i | 0.927084 | + | 0.374854i | \(0.122307\pi\) |
−0.687586 | + | 0.726103i | \(0.741329\pi\) | |||||||
\(168\) | −4.69004 | − | 12.5946i | −0.361845 | − | 0.971692i | ||||
\(169\) | 1.80376 | + | 1.56297i | 0.138751 | + | 0.120228i | ||||
\(170\) | −16.6467 | + | 21.6953i | −1.27674 | + | 1.66396i | ||||
\(171\) | −22.1805 | − | 15.7946i | −1.69618 | − | 1.20785i | ||||
\(172\) | −8.91701 | − | 5.43520i | −0.679916 | − | 0.414430i | ||||
\(173\) | −0.0529329 | + | 2.22366i | −0.00402441 | + | 0.169061i | 0.994124 | + | 0.108243i | \(0.0345225\pi\) |
−0.998149 | + | 0.0608183i | \(0.980629\pi\) | |||||||
\(174\) | 19.1532 | − | 8.74697i | 1.45200 | − | 0.663106i | ||||
\(175\) | 10.4024 | − | 8.17248i | 0.786350 | − | 0.617781i | ||||
\(176\) | 4.48224 | + | 3.88389i | 0.337862 | + | 0.292759i | ||||
\(177\) | 3.69261 | − | 21.9591i | 0.277554 | − | 1.65055i | ||||
\(178\) | −8.11235 | + | 7.37462i | −0.608046 | + | 0.552751i | ||||
\(179\) | 1.92048 | + | 2.44209i | 0.143543 | + | 0.182530i | 0.852509 | − | 0.522713i | \(-0.175080\pi\) |
−0.708965 | + | 0.705243i | \(0.750838\pi\) | |||||||
\(180\) | 48.0460 | − | 2.86311i | 3.58114 | − | 0.213404i | ||||
\(181\) | 10.0530 | − | 8.71102i | 0.747237 | − | 0.647485i | −0.195621 | − | 0.980680i | \(-0.562672\pi\) |
0.942858 | + | 0.333195i | \(0.108127\pi\) | |||||||
\(182\) | −0.524112 | − | 22.5113i | −0.0388498 | − | 1.66865i | ||||
\(183\) | −20.2310 | − | 20.2310i | −1.49552 | − | 1.49552i | ||||
\(184\) | 6.57303 | + | 3.31547i | 0.484570 | + | 0.244420i | ||||
\(185\) | 3.90415 | − | 15.2976i | 0.287039 | − | 1.12470i | ||||
\(186\) | 23.9349 | + | 22.8219i | 1.75499 | + | 1.67338i | ||||
\(187\) | 13.2816 | + | 8.98926i | 0.971248 | + | 0.657360i | ||||
\(188\) | −0.593061 | + | 2.72626i | −0.0432534 | + | 0.198833i | ||||
\(189\) | 16.1283 | − | 40.2256i | 1.17316 | − | 2.92598i | ||||
\(190\) | −16.1938 | + | 3.72545i | −1.17482 | + | 0.270272i | ||||
\(191\) | −19.1370 | + | 13.6274i | −1.38470 | + | 0.986042i | −0.386744 | + | 0.922187i | \(0.626400\pi\) |
−0.997959 | + | 0.0638551i | \(0.979660\pi\) | |||||||
\(192\) | 22.8225 | + | 33.7203i | 1.64707 | + | 2.43355i | ||||
\(193\) | 5.44654 | − | 12.7189i | 0.392051 | − | 0.915525i | −0.601153 | − | 0.799134i | \(-0.705292\pi\) |
0.993203 | − | 0.116391i | \(-0.0371326\pi\) | |||||||
\(194\) | 9.41773 | + | 0.899284i | 0.676154 | + | 0.0645648i | ||||
\(195\) | 27.9445 | + | 7.84464i | 2.00114 | + | 0.561766i | ||||
\(196\) | −13.7302 | + | 13.0644i | −0.980731 | + | 0.933173i | ||||
\(197\) | 7.53903 | − | 20.2129i | 0.537134 | − | 1.44011i | −0.330928 | − | 0.943656i | \(-0.607362\pi\) |
0.868062 | − | 0.496456i | \(-0.165366\pi\) | |||||||
\(198\) | −5.82665 | − | 48.7322i | −0.414082 | − | 3.46325i | ||||
\(199\) | −22.2071 | − | 4.28006i | −1.57422 | − | 0.303405i | −0.673961 | − | 0.738767i | \(-0.735408\pi\) |
−0.900256 | + | 0.435361i | \(0.856621\pi\) | |||||||
\(200\) | 4.74429 | − | 6.03337i | 0.335472 | − | 0.426624i | ||||
\(201\) | −19.2412 | − | 37.3227i | −1.35717 | − | 2.63254i | ||||
\(202\) | −7.09226 | + | 9.47414i | −0.499009 | + | 0.666598i | ||||
\(203\) | −5.73875 | − | 5.22234i | −0.402781 | − | 0.366536i | ||||
\(204\) | 33.0704 | + | 38.1653i | 2.31539 | + | 2.67211i | ||||
\(205\) | −1.49090 | − | 0.342924i | −0.104129 | − | 0.0239508i | ||||
\(206\) | 9.73660 | − | 5.62143i | 0.678381 | − | 0.391664i | ||||
\(207\) | 13.6392 | + | 35.6044i | 0.947989 | + | 2.47468i | ||||
\(208\) | 2.11620 | + | 7.89777i | 0.146732 | + | 0.547612i | ||||
\(209\) | 2.74557 | + | 9.35056i | 0.189915 | + | 0.646792i | ||||
\(210\) | −18.9937 | − | 37.9922i | −1.31069 | − | 2.62171i | ||||
\(211\) | 3.92533 | − | 2.52265i | 0.270231 | − | 0.173667i | −0.398507 | − | 0.917165i | \(-0.630471\pi\) |
0.668737 | + | 0.743499i | \(0.266835\pi\) | |||||||
\(212\) | 16.0968 | − | 6.89303i | 1.10553 | − | 0.473415i | ||||
\(213\) | −2.83562 | − | 3.11928i | −0.194293 | − | 0.213730i | ||||
\(214\) | 3.09379 | − | 0.295421i | 0.211487 | − | 0.0201946i | ||||
\(215\) | −7.80208 | − | 3.67572i | −0.532097 | − | 0.250682i | ||||
\(216\) | 3.57848 | − | 24.8889i | 0.243485 | − | 1.69347i | ||||
\(217\) | 4.26488 | − | 11.4164i | 0.289519 | − | 0.774995i | ||||
\(218\) | 6.76873 | + | 12.3960i | 0.458436 | + | 0.839563i | ||||
\(219\) | −8.40370 | − | 8.81355i | −0.567869 | − | 0.595564i | ||||
\(220\) | −14.1500 | − | 9.82408i | −0.953992 | − | 0.662339i | ||||
\(221\) | 8.21739 | + | 20.5261i | 0.552762 | + | 1.38073i | ||||
\(222\) | −45.5976 | − | 22.1499i | −3.06031 | − | 1.48661i | ||||
\(223\) | 8.93657 | + | 23.9599i | 0.598437 | + | 1.60447i | 0.783256 | + | 0.621699i | \(0.213557\pi\) |
−0.184819 | + | 0.982773i | \(0.559170\pi\) | |||||||
\(224\) | 10.8694 | − | 16.8937i | 0.726240 | − | 1.12876i | ||||
\(225\) | 39.1999 | − | 6.59346i | 2.61333 | − | 0.439564i | ||||
\(226\) | −12.3799 | + | 0.589729i | −0.823500 | + | 0.0392282i | ||||
\(227\) | −7.65547 | − | 15.7594i | −0.508111 | − | 1.04599i | −0.985872 | − | 0.167501i | \(-0.946430\pi\) |
0.477761 | − | 0.878490i | \(-0.341449\pi\) | |||||||
\(228\) | 0.730263 | + | 30.6776i | 0.0483628 | + | 2.03167i | ||||
\(229\) | −7.70711 | + | 13.3491i | −0.509300 | + | 0.882134i | 0.490642 | + | 0.871361i | \(0.336762\pi\) |
−0.999942 | + | 0.0107726i | \(0.996571\pi\) | |||||||
\(230\) | 21.7753 | + | 8.19743i | 1.43582 | + | 0.540522i | ||||
\(231\) | −21.5799 | + | 12.4442i | −1.41985 | + | 0.818766i | ||||
\(232\) | −3.95122 | − | 2.15753i | −0.259410 | − | 0.141649i | ||||
\(233\) | −6.98702 | + | 10.3233i | −0.457735 | + | 0.676302i | −0.984834 | − | 0.173502i | \(-0.944492\pi\) |
0.527099 | + | 0.849804i | \(0.323280\pi\) | |||||||
\(234\) | 31.0043 | − | 60.1399i | 2.02681 | − | 3.93147i | ||||
\(235\) | −0.246262 | + | 2.29102i | −0.0160644 | + | 0.149450i | ||||
\(236\) | −16.1939 | + | 8.34854i | −1.05413 | + | 0.543443i | ||||
\(237\) | 2.38558 | + | 6.39600i | 0.154960 | + | 0.415465i | ||||
\(238\) | 14.1530 | − | 29.0966i | 0.917404 | − | 1.88605i | ||||
\(239\) | 25.2016 | + | 3.62344i | 1.63015 | + | 0.234381i | 0.895823 | − | 0.444410i | \(-0.146587\pi\) |
0.734331 | + | 0.678791i | \(0.237496\pi\) | |||||||
\(240\) | 9.96104 | + | 11.7754i | 0.642982 | + | 0.760101i | ||||
\(241\) | −1.25433 | + | 0.304296i | −0.0807982 | + | 0.0196014i | −0.275954 | − | 0.961171i | \(-0.588994\pi\) |
0.195156 | + | 0.980772i | \(0.437479\pi\) | |||||||
\(242\) | 3.27955 | − | 5.38045i | 0.210818 | − | 0.345868i | ||||
\(243\) | 39.5607 | − | 32.6641i | 2.53782 | − | 2.09540i | ||||
\(244\) | −3.33152 | + | 23.1712i | −0.213278 | + | 1.48338i | ||||
\(245\) | −10.1209 | + | 11.9401i | −0.646602 | + | 0.762828i | ||||
\(246\) | −2.04054 | + | 4.46816i | −0.130100 | + | 0.284880i | ||||
\(247\) | −4.09079 | + | 12.7971i | −0.260291 | + | 0.814260i | ||||
\(248\) | 0.839445 | − | 7.02085i | 0.0533048 | − | 0.445824i | ||||
\(249\) | 33.2804 | + | 17.1572i | 2.10906 | + | 1.08730i | ||||
\(250\) | 12.8697 | − | 20.5623i | 0.813950 | − | 1.30048i | ||||
\(251\) | 0.537331 | + | 1.82998i | 0.0339160 | + | 0.115507i | 0.974711 | − | 0.223468i | \(-0.0717378\pi\) |
−0.940795 | + | 0.338975i | \(0.889920\pi\) | |||||||
\(252\) | −55.0169 | + | 14.7110i | −3.46574 | + | 0.926703i | ||||
\(253\) | 4.03994 | − | 13.0339i | 0.253989 | − | 0.819434i | ||||
\(254\) | −31.9702 | − | 18.4580i | −2.00599 | − | 1.15816i | ||||
\(255\) | 30.5256 | + | 28.4191i | 1.91158 | + | 1.77967i | ||||
\(256\) | 0.120341 | − | 0.347703i | 0.00752132 | − | 0.0217314i | ||||
\(257\) | −2.30076 | + | 2.53093i | −0.143518 | + | 0.157875i | −0.807488 | − | 0.589884i | \(-0.799173\pi\) |
0.663970 | + | 0.747759i | \(0.268870\pi\) | |||||||
\(258\) | −16.5953 | + | 22.1687i | −1.03318 | + | 1.38017i | ||||
\(259\) | −0.898597 | + | 18.6590i | −0.0558361 | + | 1.15941i | ||||
\(260\) | −8.56372 | − | 22.1502i | −0.531100 | − | 1.37370i | ||||
\(261\) | −7.62574 | − | 22.0331i | −0.472022 | − | 1.36382i | ||||
\(262\) | 27.1560 | + | 11.6289i | 1.67770 | + | 0.718435i | ||||
\(263\) | −22.0012 | + | 3.69968i | −1.35665 | + | 0.228132i | −0.798694 | − | 0.601738i | \(-0.794475\pi\) |
−0.557957 | + | 0.829870i | \(0.688415\pi\) | |||||||
\(264\) | −10.4603 | + | 9.97384i | −0.643784 | + | 0.613847i | ||||
\(265\) | 12.6091 | − | 7.08151i | 0.774571 | − | 0.435013i | ||||
\(266\) | 17.8887 | − | 8.15823i | 1.09683 | − | 0.500213i | ||||
\(267\) | 10.0204 | + | 13.3857i | 0.613239 | + | 0.819192i | ||||
\(268\) | −15.0120 | + | 30.9034i | −0.917001 | + | 1.88773i | ||||
\(269\) | −0.778421 | − | 8.15199i | −0.0474611 | − | 0.497036i | −0.987682 | − | 0.156472i | \(-0.949988\pi\) |
0.940221 | − | 0.340564i | \(-0.110618\pi\) | |||||||
\(270\) | 2.83483 | − | 79.4197i | 0.172522 | − | 4.83333i | ||||
\(271\) | 16.7853 | + | 6.71980i | 1.01963 | + | 0.408199i | 0.820422 | − | 0.571758i | \(-0.193738\pi\) |
0.199209 | + | 0.979957i | \(0.436163\pi\) | |||||||
\(272\) | −2.49742 | + | 11.4805i | −0.151429 | + | 0.696106i | ||||
\(273\) | −34.2537 | − | 2.46784i | −2.07313 | − | 0.149361i | ||||
\(274\) | −48.2053 | + | 14.1543i | −2.91219 | + | 0.855095i | ||||
\(275\) | −12.4866 | − | 6.81755i | −0.752973 | − | 0.411114i | ||||
\(276\) | 22.9099 | − | 36.3505i | 1.37901 | − | 2.18804i | ||||
\(277\) | −0.0626934 | + | 0.233975i | −0.00376688 | + | 0.0140582i | −0.967784 | − | 0.251783i | \(-0.918983\pi\) |
0.964017 | + | 0.265841i | \(0.0856497\pi\) | |||||||
\(278\) | −4.60948 | − | 7.56233i | −0.276458 | − | 0.453558i | ||||
\(279\) | 27.6757 | − | 23.9812i | 1.65690 | − | 1.43571i | ||||
\(280\) | −4.06911 | + | 8.11888i | −0.243176 | + | 0.485196i | ||||
\(281\) | 6.32292 | − | 0.909099i | 0.377194 | − | 0.0542323i | 0.0488894 | − | 0.998804i | \(-0.484432\pi\) |
0.328305 | + | 0.944572i | \(0.393523\pi\) | |||||||
\(282\) | 7.04718 | + | 2.25274i | 0.419653 | + | 0.134149i | ||||
\(283\) | 10.5810 | + | 8.73639i | 0.628974 | + | 0.519325i | 0.895822 | − | 0.444414i | \(-0.146588\pi\) |
−0.266848 | + | 0.963739i | \(0.585982\pi\) | |||||||
\(284\) | −0.652755 | + | 3.38681i | −0.0387339 | + | 0.200970i | ||||
\(285\) | 3.30846 | + | 25.1262i | 0.195976 | + | 1.48835i | ||||
\(286\) | −22.0274 | + | 10.0596i | −1.30251 | + | 0.594836i | ||||
\(287\) | 1.80959 | + | 0.0440212i | 0.106817 | + | 0.00259849i | ||||
\(288\) | 52.9789 | − | 28.9287i | 3.12181 | − | 1.70464i | ||||
\(289\) | −1.40403 | + | 14.7037i | −0.0825900 | + | 0.864922i | ||||
\(290\) | −13.1453 | − | 5.44464i | −0.771918 | − | 0.319720i | ||||
\(291\) | 2.73067 | − | 14.1681i | 0.160075 | − | 0.830548i | ||||
\(292\) | −1.65232 | + | 9.82599i | −0.0966948 | + | 0.575023i | ||||
\(293\) | −0.0105992 | − | 0.0487237i | −0.000619211 | − | 0.00284647i | 0.976836 | − | 0.213988i | \(-0.0686454\pi\) |
−0.977455 | + | 0.211142i | \(0.932282\pi\) | |||||||
\(294\) | 31.0260 | + | 39.5376i | 1.80947 | + | 2.30588i | ||||
\(295\) | −12.5604 | + | 8.28526i | −0.731292 | + | 0.482387i | ||||
\(296\) | 2.05118 | + | 10.6425i | 0.119223 | + | 0.618585i | ||||
\(297\) | −46.5942 | + | 1.10915i | −2.70367 | + | 0.0643593i | ||||
\(298\) | −11.3054 | + | 42.1922i | −0.654903 | + | 2.44413i | ||||
\(299\) | 14.6840 | − | 11.7590i | 0.849198 | − | 0.680042i | ||||
\(300\) | −32.4224 | − | 30.9121i | −1.87191 | − | 1.78471i | ||||
\(301\) | 9.91582 | + | 2.41103i | 0.571539 | + | 0.138970i | ||||
\(302\) | −3.44543 | + | 48.1734i | −0.198262 | + | 2.77207i | ||||
\(303\) | 13.3559 | + | 12.1413i | 0.767277 | + | 0.697501i | ||||
\(304\) | −5.61184 | + | 4.41320i | −0.321861 | + | 0.253114i | ||||
\(305\) | −0.689652 | + | 19.3211i | −0.0394894 | + | 1.10632i | ||||
\(306\) | 79.1977 | − | 56.3964i | 4.52743 | − | 3.22397i | ||||
\(307\) | −23.8128 | + | 1.70313i | −1.35907 | + | 0.0972026i | −0.731757 | − | 0.681565i | \(-0.761300\pi\) |
−0.627312 | + | 0.778768i | \(0.715845\pi\) | |||||||
\(308\) | 18.7322 | + | 8.03318i | 1.06737 | + | 0.457733i | ||||
\(309\) | −7.12316 | − | 15.5976i | −0.405223 | − | 0.887314i | ||||
\(310\) | 0.265464 | − | 22.3459i | 0.0150774 | − | 1.26916i | ||||
\(311\) | −1.19194 | − | 4.91325i | −0.0675888 | − | 0.278605i | 0.927981 | − | 0.372627i | \(-0.121543\pi\) |
−0.995570 | + | 0.0940218i | \(0.970028\pi\) | |||||||
\(312\) | −19.6495 | + | 3.30422i | −1.11243 | + | 0.187065i | ||||
\(313\) | 1.43541 | + | 12.0053i | 0.0811341 | + | 0.678579i | 0.973727 | + | 0.227717i | \(0.0731260\pi\) |
−0.892593 | + | 0.450863i | \(0.851116\pi\) | |||||||
\(314\) | −2.32416 | + | 2.68222i | −0.131160 | + | 0.151366i | ||||
\(315\) | −43.8778 | + | 16.9378i | −2.47223 | + | 0.954335i | ||||
\(316\) | 3.01968 | − | 4.69871i | 0.169870 | − | 0.264323i | ||||
\(317\) | −1.04789 | − | 2.44705i | −0.0588553 | − | 0.137440i | 0.887260 | − | 0.461269i | \(-0.152606\pi\) |
−0.946116 | + | 0.323829i | \(0.895030\pi\) | |||||||
\(318\) | −14.1385 | − | 44.2291i | −0.792848 | − | 2.48024i | ||||
\(319\) | −2.72922 | + | 7.88557i | −0.152807 | + | 0.441507i | ||||
\(320\) | 6.16754 | − | 26.8141i | 0.344776 | − | 1.49895i | ||||
\(321\) | − | 4.73998i | − | 0.264560i | ||||||
\(322\) | −27.1860 | − | 4.33953i | −1.51501 | − | 0.241833i | ||||
\(323\) | −13.6510 | + | 13.6510i | −0.759560 | + | 0.759560i | ||||
\(324\) | −79.8668 | − | 19.3755i | −4.43705 | − | 1.07642i | ||||
\(325\) | −8.98790 | − | 17.4323i | −0.498559 | − | 0.966971i | ||||
\(326\) | −23.6720 | − | 12.2037i | −1.31107 | − | 0.675903i | ||||
\(327\) | 19.8015 | − | 8.47950i | 1.09503 | − | 0.468918i | ||||
\(328\) | 1.02623 | − | 0.223242i | 0.0566638 | − | 0.0123265i | ||||
\(329\) | −0.257743 | − | 2.71417i | −0.0142098 | − | 0.149637i | ||||
\(330\) | −29.5000 | + | 34.8763i | −1.62392 | + | 1.91988i | ||||
\(331\) | −16.9812 | − | 13.3541i | −0.933370 | − | 0.734010i | 0.0307361 | − | 0.999528i | \(-0.490215\pi\) |
−0.964106 | + | 0.265517i | \(0.914457\pi\) | |||||||
\(332\) | −5.08031 | − | 30.2115i | −0.278818 | − | 1.65807i | ||||
\(333\) | −29.2152 | + | 47.9305i | −1.60098 | + | 2.62658i | ||||
\(334\) | −21.8003 | − | 22.8635i | −1.19286 | − | 1.25104i | ||||
\(335\) | −9.59823 | + | 26.7017i | −0.524407 | + | 1.45887i | ||||
\(336\) | −14.3390 | − | 11.2884i | −0.782257 | − | 0.615835i | ||||
\(337\) | −1.71955 | − | 24.0424i | −0.0936697 | − | 1.30967i | −0.799231 | − | 0.601024i | \(-0.794760\pi\) |
0.705561 | − | 0.708649i | \(-0.250695\pi\) | |||||||
\(338\) | −5.10671 | − | 0.858735i | −0.277768 | − | 0.0467091i | ||||
\(339\) | −0.899427 | + | 18.8813i | −0.0488502 | + | 1.02549i | ||||
\(340\) | 3.64704 | − | 33.9291i | 0.197789 | − | 1.84006i | ||||
\(341\) | −13.0914 | + | 0.623620i | −0.708939 | + | 0.0337709i | ||||
\(342\) | 58.9287 | + | 4.21466i | 3.18650 | + | 0.227903i | ||||
\(343\) | 8.90126 | − | 16.2409i | 0.480623 | − | 0.876928i | ||||
\(344\) | 5.92075 | 0.319226 | ||||||||
\(345\) | 15.6026 | − | 31.8720i | 0.840017 | − | 1.71593i | ||||
\(346\) | −2.41299 | − | 4.17943i | −0.129723 | − | 0.224687i | ||||
\(347\) | −0.775146 | − | 32.5631i | −0.0416120 | − | 1.74808i | −0.506078 | − | 0.862488i | \(-0.668905\pi\) |
0.464466 | − | 0.885591i | \(-0.346246\pi\) | |||||||
\(348\) | −14.7276 | + | 21.7600i | −0.789480 | + | 1.16646i | ||||
\(349\) | 11.0196 | + | 17.1469i | 0.589868 | + | 0.917852i | 0.999983 | + | 0.00581857i | \(0.00185212\pi\) |
−0.410115 | + | 0.912034i | \(0.634512\pi\) | |||||||
\(350\) | −10.0433 | + | 26.8876i | −0.536836 | + | 1.43721i | ||||
\(351\) | −54.0536 | − | 34.7381i | −2.88517 | − | 1.85418i | ||||
\(352\) | −21.3044 | − | 3.58251i | −1.13553 | − | 0.190948i | ||||
\(353\) | 29.2843 | − | 19.8202i | 1.55865 | − | 1.05492i | 0.589712 | − | 0.807614i | \(-0.299241\pi\) |
0.968937 | − | 0.247310i | \(-0.0795464\pi\) | |||||||
\(354\) | 17.9562 | + | 44.8524i | 0.954361 | + | 2.38388i | ||||
\(355\) | −0.236952 | + | 2.83870i | −0.0125761 | + | 0.150663i | ||||
\(356\) | 3.85438 | − | 13.1268i | 0.204282 | − | 0.695719i | ||||
\(357\) | −42.1240 | − | 25.7061i | −2.22944 | − | 1.36051i | ||||
\(358\) | −6.31569 | − | 2.35563i | −0.333795 | − | 0.124499i | ||||
\(359\) | 11.8130 | + | 9.28983i | 0.623466 | + | 0.490299i | 0.879203 | − | 0.476448i | \(-0.158076\pi\) |
−0.255737 | + | 0.966746i | \(0.582318\pi\) | |||||||
\(360\) | −22.4152 | + | 15.5638i | −1.18138 | + | 0.820285i | ||||
\(361\) | 7.23617 | − | 0.690970i | 0.380851 | − | 0.0363669i | ||||
\(362\) | −8.78786 | + | 27.4908i | −0.461880 | + | 1.44489i | ||||
\(363\) | −7.69340 | − | 5.75921i | −0.403799 | − | 0.302280i | ||||
\(364\) | 15.1791 | + | 23.6463i | 0.795603 | + | 1.23940i | ||||
\(365\) | −0.489165 | + | 8.21445i | −0.0256041 | + | 0.429964i | ||||
\(366\) | 60.3267 | + | 14.6351i | 3.15332 | + | 0.764988i | ||||
\(367\) | 20.4767 | + | 5.48672i | 1.06888 | + | 0.286405i | 0.750031 | − | 0.661402i | \(-0.230038\pi\) |
0.318845 | + | 0.947807i | \(0.396705\pi\) | |||||||
\(368\) | 9.96442 | − | 0.801193i | 0.519431 | − | 0.0417651i | ||||
\(369\) | 4.71045 | + | 2.71958i | 0.245216 | + | 0.141576i | ||||
\(370\) | 10.0418 | + | 32.7499i | 0.522049 | + | 1.70259i | ||||
\(371\) | −12.9376 | + | 11.1987i | −0.671687 | + | 0.581407i | ||||
\(372\) | −40.3261 | − | 8.77240i | −2.09081 | − | 0.454828i | ||||
\(373\) | 2.26910 | + | 5.29886i | 0.117490 | + | 0.274365i | 0.967712 | − | 0.252060i | \(-0.0811080\pi\) |
−0.850222 | + | 0.526425i | \(0.823532\pi\) | |||||||
\(374\) | −34.7573 | − | 1.65569i | −1.79726 | − | 0.0856138i | ||||
\(375\) | −29.3529 | − | 22.5204i | −1.51578 | − | 1.16295i | ||||
\(376\) | −0.517369 | − | 1.49484i | −0.0266813 | − | 0.0770904i | ||||
\(377\) | −9.20932 | + | 6.89401i | −0.474304 | + | 0.355060i | ||||
\(378\) | 15.5447 | + | 92.7367i | 0.799532 | + | 4.76986i | ||||
\(379\) | −14.4673 | − | 4.24797i | −0.743134 | − | 0.218204i | −0.111817 | − | 0.993729i | \(-0.535667\pi\) |
−0.631317 | + | 0.775525i | \(0.717485\pi\) | |||||||
\(380\) | 14.8355 | − | 14.4872i | 0.761047 | − | 0.743177i | ||||
\(381\) | −32.6587 | + | 45.8628i | −1.67316 | + | 2.34962i | ||||
\(382\) | 20.0654 | − | 46.8571i | 1.02663 | − | 2.39742i | ||||
\(383\) | −2.35280 | + | 4.84344i | −0.120222 | + | 0.247488i | −0.951047 | − | 0.309046i | \(-0.899990\pi\) |
0.830825 | + | 0.556534i | \(0.187869\pi\) | |||||||
\(384\) | −34.6520 | − | 15.8250i | −1.76833 | − | 0.807567i | ||||
\(385\) | 16.0912 | + | 4.94236i | 0.820083 | + | 0.251886i | ||||
\(386\) | 4.27224 | + | 29.7141i | 0.217451 | + | 1.51241i | ||||
\(387\) | 22.6897 | + | 20.6263i | 1.15338 | + | 1.04850i | ||||
\(388\) | −10.6191 | + | 5.15843i | −0.539102 | + | 0.261879i | ||||
\(389\) | −5.57482 | − | 5.31558i | −0.282655 | − | 0.269511i | 0.535467 | − | 0.844556i | \(-0.320136\pi\) |
−0.818121 | + | 0.575046i | \(0.804984\pi\) | |||||||
\(390\) | −60.6298 | + | 17.0229i | −3.07011 | + | 0.861986i | ||||
\(391\) | 26.4972 | − | 5.35007i | 1.34002 | − | 0.270565i | ||||
\(392\) | 2.79194 | − | 10.3763i | 0.141014 | − | 0.524084i | ||||
\(393\) | 21.5925 | − | 39.5437i | 1.08920 | − | 1.99472i | ||||
\(394\) | 8.85823 | + | 45.9609i | 0.446271 | + | 2.31548i | ||||
\(395\) | 2.06470 | − | 4.12496i | 0.103886 | − | 0.207549i | ||||
\(396\) | 37.8593 | + | 48.1420i | 1.90250 | + | 2.41923i | ||||
\(397\) | 35.4581 | + | 11.3347i | 1.77959 | + | 0.568874i | 0.998459 | − | 0.0554912i | \(-0.0176725\pi\) |
0.781133 | + | 0.624365i | \(0.214642\pi\) | |||||||
\(398\) | 45.9751 | − | 17.1478i | 2.30452 | − | 0.859543i | ||||
\(399\) | −9.79280 | − | 28.3423i | −0.490253 | − | 1.41889i | ||||
\(400\) | 1.23688 | − | 10.3485i | 0.0618440 | − | 0.517425i | ||||
\(401\) | 2.30371 | − | 24.1256i | 0.115042 | − | 1.20477i | −0.735003 | − | 0.678063i | \(-0.762819\pi\) |
0.850045 | − | 0.526710i | \(-0.176574\pi\) | |||||||
\(402\) | 77.7936 | + | 47.4177i | 3.87999 | + | 2.36498i | ||||
\(403\) | −15.4283 | − | 9.40405i | −0.768539 | − | 0.468449i | ||||
\(404\) | 1.40381 | − | 14.7014i | 0.0698424 | − | 0.731423i | ||||
\(405\) | −67.2930 | − | 8.85788i | −3.34382 | − | 0.440151i | ||||
\(406\) | 16.5292 | + | 3.19469i | 0.820330 | + | 0.158550i | ||||
\(407\) | 18.8230 | − | 7.02060i | 0.933019 | − | 0.347998i | ||||
\(408\) | −27.2721 | − | 8.71794i | −1.35017 | − | 0.431602i | ||||
\(409\) | 14.8893 | + | 18.9333i | 0.736229 | + | 0.936191i | 0.999594 | − | 0.0285055i | \(-0.00907481\pi\) |
−0.263365 | + | 0.964696i | \(0.584832\pi\) | |||||||
\(410\) | 3.14936 | − | 1.04828i | 0.155536 | − | 0.0517709i | ||||
\(411\) | 14.5013 | + | 75.2396i | 0.715294 | + | 3.71130i | ||||
\(412\) | −6.72375 | + | 12.3136i | −0.331256 | + | 0.606649i | ||||
\(413\) | 12.5957 | − | 12.5825i | 0.619793 | − | 0.619146i | ||||
\(414\) | −65.4748 | − | 50.5604i | −3.21791 | − | 2.48491i | ||||
\(415\) | −6.83932 | − | 24.3594i | −0.335729 | − | 1.19576i | ||||
\(416\) | −21.5549 | − | 20.5525i | −1.05682 | − | 1.00767i | ||||
\(417\) | −12.1498 | + | 5.90199i | −0.594976 | + | 0.289022i | ||||
\(418\) | −15.6457 | − | 14.2229i | −0.765255 | − | 0.695663i | ||||
\(419\) | −4.24624 | − | 29.5333i | −0.207442 | − | 1.44279i | −0.781462 | − | 0.623952i | \(-0.785526\pi\) |
0.574020 | − | 0.818841i | \(-0.305383\pi\) | |||||||
\(420\) | 44.9139 | + | 28.1462i | 2.19158 | + | 1.37340i | ||||
\(421\) | −25.6022 | − | 11.6921i | −1.24777 | − | 0.569839i | −0.321578 | − | 0.946883i | \(-0.604213\pi\) |
−0.926195 | + | 0.377044i | \(0.876940\pi\) | |||||||
\(422\) | −4.42355 | + | 9.10625i | −0.215335 | + | 0.443286i | ||||
\(423\) | 3.22494 | − | 7.53095i | 0.156802 | − | 0.366167i | ||||
\(424\) | −5.75871 | + | 8.08698i | −0.279668 | + | 0.392738i | ||||
\(425\) | −0.00116937 | − | 28.1827i | −5.67226e−5 | − | 1.36706i | ||||
\(426\) | 8.77584 | + | 2.57682i | 0.425191 | + | 0.124847i | ||||
\(427\) | −3.78168 | − | 22.5608i | −0.183008 | − | 1.09179i | ||||
\(428\) | −3.10470 | + | 2.32415i | −0.150071 | + | 0.112342i | ||||
\(429\) | 12.0795 | + | 34.9015i | 0.583206 | + | 1.68506i | ||||
\(430\) | 18.6053 | − | 2.00067i | 0.897227 | − | 0.0964807i | ||||
\(431\) | −16.2376 | − | 0.773494i | −0.782139 | − | 0.0372579i | −0.347286 | − | 0.937759i | \(-0.612897\pi\) |
−0.434853 | + | 0.900501i | \(0.643200\pi\) | |||||||
\(432\) | −13.4407 | − | 31.3870i | −0.646667 | − | 1.51011i | ||||
\(433\) | 0.604322 | + | 0.131462i | 0.0290419 | + | 0.00631767i | 0.227063 | − | 0.973880i | \(-0.427088\pi\) |
−0.198021 | + | 0.980198i | \(0.563451\pi\) | |||||||
\(434\) | 4.99061 | + | 25.9666i | 0.239557 | + | 1.24644i | ||||
\(435\) | −10.1721 | + | 19.1685i | −0.487713 | + | 0.919059i | ||||
\(436\) | −15.2634 | − | 8.81231i | −0.730983 | − | 0.422033i | ||||
\(437\) | 14.4857 | + | 7.74446i | 0.692943 | + | 0.370468i | ||||
\(438\) | 25.5218 | + | 6.83854i | 1.21948 | + | 0.326758i | ||||
\(439\) | 11.8987 | + | 2.88660i | 0.567895 | + | 0.137770i | 0.509418 | − | 0.860519i | \(-0.329861\pi\) |
0.0584763 | + | 0.998289i | \(0.481376\pi\) | |||||||
\(440\) | 9.74923 | + | 0.580561i | 0.464776 | + | 0.0276771i | ||||
\(441\) | 46.8478 | − | 30.0382i | 2.23085 | − | 1.43039i | ||||
\(442\) | −38.4029 | − | 28.7481i | −1.82664 | − | 1.36741i | ||||
\(443\) | 4.51781 | − | 14.1329i | 0.214648 | − | 0.671476i | −0.784062 | − | 0.620683i | \(-0.786855\pi\) |
0.998709 | − | 0.0507931i | \(-0.0161749\pi\) | |||||||
\(444\) | 62.9722 | − | 6.01312i | 2.98853 | − | 0.285370i | ||||
\(445\) | 2.00591 | − | 11.1193i | 0.0950893 | − | 0.527107i | ||||
\(446\) | −43.6130 | − | 34.2976i | −2.06513 | − | 1.62404i | ||||
\(447\) | 62.4193 | + | 23.2812i | 2.95233 | + | 1.10116i | ||||
\(448\) | −0.791728 | + | 32.5457i | −0.0374057 | + | 1.53764i | ||||
\(449\) | −1.06593 | + | 3.63021i | −0.0503041 | + | 0.171320i | −0.980814 | − | 0.194947i | \(-0.937546\pi\) |
0.930510 | + | 0.366268i | \(0.119365\pi\) | |||||||
\(450\) | −65.1780 | + | 56.4818i | −3.07252 | + | 2.66258i | ||||
\(451\) | −0.723498 | − | 1.80721i | −0.0340682 | − | 0.0850983i | ||||
\(452\) | 12.8083 | − | 8.66893i | 0.602453 | − | 0.407752i | ||||
\(453\) | 72.6397 | + | 12.2150i | 3.41291 | + | 0.573909i | ||||
\(454\) | 31.9792 | + | 20.5518i | 1.50086 | + | 0.964543i | ||||
\(455\) | 14.5522 | + | 18.0767i | 0.682218 | + | 0.847450i | ||||
\(456\) | −9.40607 | − | 14.6361i | −0.440480 | − | 0.685400i | ||||
\(457\) | −1.15266 | + | 1.70305i | −0.0539190 | + | 0.0796652i | −0.854150 | − | 0.520026i | \(-0.825922\pi\) |
0.800231 | + | 0.599691i | \(0.204710\pi\) | |||||||
\(458\) | −0.795888 | − | 33.4344i | −0.0371894 | − | 1.56229i | ||||
\(459\) | −46.1644 | − | 79.9590i | −2.15477 | − | 3.73217i | ||||
\(460\) | −28.5267 | + | 5.40799i | −1.33006 | + | 0.252149i | ||||
\(461\) | 7.51450 | 0.349985 | 0.174993 | − | 0.984570i | \(-0.444010\pi\) | ||||
0.174993 | + | 0.984570i | \(0.444010\pi\) | |||||||
\(462\) | 25.9274 | − | 47.4237i | 1.20625 | − | 2.20635i | ||||
\(463\) | 30.9757 | + | 2.21542i | 1.43956 | + | 0.102959i | 0.769168 | − | 0.639047i | \(-0.220671\pi\) |
0.670393 | + | 0.742006i | \(0.266125\pi\) | |||||||
\(464\) | −6.10613 | + | 0.290871i | −0.283470 | + | 0.0135033i | ||||
\(465\) | −33.8881 | − | 3.64264i | −1.57152 | − | 0.168923i | ||||
\(466\) | 1.28691 | − | 27.0155i | 0.0596149 | − | 1.25147i | ||||
\(467\) | −15.0687 | − | 2.53393i | −0.697298 | − | 0.117256i | −0.193529 | − | 0.981095i | \(-0.561993\pi\) |
−0.503769 | + | 0.863838i | \(0.668054\pi\) | |||||||
\(468\) | 6.02342 | + | 84.2185i | 0.278433 | + | 3.89300i | ||||
\(469\) | 4.79529 | − | 33.2288i | 0.221426 | − | 1.53437i | ||||
\(470\) | −2.13089 | − | 4.52254i | −0.0982907 | − | 0.208609i | ||||
\(471\) | 3.73533 | + | 3.91750i | 0.172115 | + | 0.180509i | ||||
\(472\) | 5.37625 | − | 8.82029i | 0.247462 | − | 0.405987i | ||||
\(473\) | −1.81989 | − | 10.8225i | −0.0836788 | − | 0.497619i | ||||
\(474\) | −11.6423 | − | 9.15562i | −0.534749 | − | 0.420532i | ||||
\(475\) | 10.9029 | − | 13.2060i | 0.500260 | − | 0.605935i | ||||
\(476\) | 3.81707 | + | 40.1958i | 0.174955 | + | 1.84237i | ||||
\(477\) | −50.2416 | + | 10.9294i | −2.30041 | + | 0.500423i | ||||
\(478\) | −50.7814 | + | 21.7459i | −2.32269 | + | 0.994633i | ||||
\(479\) | −14.6410 | − | 7.54795i | −0.668963 | − | 0.344875i | 0.0900615 | − | 0.995936i | \(-0.471294\pi\) |
−0.759025 | + | 0.651062i | \(0.774324\pi\) | |||||||
\(480\) | −53.3062 | − | 17.7408i | −2.43308 | − | 0.809752i | ||||
\(481\) | 26.9151 | + | 6.52954i | 1.22722 | + | 0.297721i | ||||
\(482\) | 1.98020 | − | 1.98020i | 0.0901955 | − | 0.0901955i | ||||
\(483\) | −10.5298 | + | 40.6459i | −0.479121 | + | 1.84945i | ||||
\(484\) | 7.86311i | 0.357414i | ||||||||
\(485\) | −8.26430 | + | 5.17347i | −0.375263 | + | 0.234915i | ||||
\(486\) | −36.4062 | + | 105.189i | −1.65142 | + | 4.77147i | ||||
\(487\) | −0.862390 | − | 2.69779i | −0.0390786 | − | 0.122249i | 0.931014 | − | 0.364983i | \(-0.118925\pi\) |
−0.970093 | + | 0.242735i | \(0.921956\pi\) | |||||||
\(488\) | −5.22465 | − | 12.2007i | −0.236509 | − | 0.552300i | ||||
\(489\) | −21.9602 | + | 34.1707i | −0.993073 | + | 1.54525i | ||||
\(490\) | 5.26713 | − | 33.5499i | 0.237945 | − | 1.51563i | ||||
\(491\) | −15.0411 | + | 17.3583i | −0.678794 | + | 0.783370i | −0.985725 | − | 0.168361i | \(-0.946152\pi\) |
0.306931 | + | 0.951732i | \(0.400698\pi\) | |||||||
\(492\) | −0.727709 | − | 6.08632i | −0.0328076 | − | 0.274393i | ||||
\(493\) | −16.3015 | + | 2.74124i | −0.734184 | + | 0.123459i | ||||
\(494\) | −6.87231 | − | 28.3280i | −0.309200 | − | 1.27454i | ||||
\(495\) | 35.3389 | + | 36.1886i | 1.58836 | + | 1.62656i | ||||
\(496\) | −3.98857 | − | 8.73376i | −0.179092 | − | 0.392157i | ||||
\(497\) | −0.398393 | − | 3.34685i | −0.0178704 | − | 0.150127i | ||||
\(498\) | −81.0316 | + | 5.79550i | −3.63111 | + | 0.259702i | ||||
\(499\) | −28.5467 | + | 20.3280i | −1.27792 | + | 0.910005i | −0.998738 | − | 0.0502318i | \(-0.984004\pi\) |
−0.279186 | + | 0.960237i | \(0.590065\pi\) | |||||||
\(500\) | −0.358329 | + | 30.2687i | −0.0160250 | + | 1.35366i | ||||
\(501\) | −37.8730 | + | 29.7837i | −1.69204 | + | 1.33064i | ||||
\(502\) | −3.06199 | − | 2.78353i | −0.136663 | − | 0.124235i | ||||
\(503\) | 1.16984 | − | 16.3565i | 0.0521607 | − | 0.729302i | −0.902327 | − | 0.431052i | \(-0.858143\pi\) |
0.954488 | − | 0.298250i | \(-0.0964030\pi\) | |||||||
\(504\) | 22.2937 | − | 23.3566i | 0.993042 | − | 1.04038i | ||||
\(505\) | −0.145391 | − | 12.1959i | −0.00646982 | − | 0.542712i | ||||
\(506\) | 7.23390 | + | 28.7093i | 0.321586 | + | 1.27628i | ||||
\(507\) | −2.04412 | + | 7.62876i | −0.0907826 | + | 0.338805i | ||||
\(508\) | 46.0538 | − | 1.09629i | 2.04331 | − | 0.0486398i | ||||
\(509\) | 2.03466 | + | 10.5568i | 0.0901849 | + | 0.467924i | 0.998741 | + | 0.0501611i | \(0.0159735\pi\) |
−0.908556 | + | 0.417763i | \(0.862814\pi\) | |||||||
\(510\) | −88.6453 | − | 18.1797i | −3.92528 | − | 0.805011i | ||||
\(511\) | −1.38065 | − | 9.63831i | −0.0610761 | − | 0.426374i | ||||
\(512\) | −4.72443 | − | 21.7179i | −0.208792 | − | 0.959803i | ||||
\(513\) | 9.30365 | − | 55.3268i | 0.410766 | − | 2.44274i | ||||
\(514\) | 1.40446 | − | 7.28705i | 0.0619482 | − | 0.321418i | ||||
\(515\) | −4.43388 | + | 10.7050i | −0.195380 | + | 0.471717i | ||||
\(516\) | 3.28481 | − | 34.4001i | 0.144606 | − | 1.51438i | ||||
\(517\) | −2.57338 | + | 1.40517i | −0.113177 | + | 0.0617994i | ||||
\(518\) | −19.4058 | − | 35.5832i | −0.852642 | − | 1.56344i | ||||
\(519\) | −6.69523 | + | 3.05761i | −0.293888 | + | 0.134214i | ||||
\(520\) | 10.6821 | + | 8.19629i | 0.468440 | + | 0.359431i | ||||
\(521\) | −1.13445 | + | 5.88607i | −0.0497011 | + | 0.257874i | −0.998277 | − | 0.0586758i | \(-0.981312\pi\) |
0.948576 | + | 0.316549i | \(0.102524\pi\) | |||||||
\(522\) | 39.0087 | + | 32.2083i | 1.70736 | + | 1.40972i | ||||
\(523\) | 6.93786 | + | 2.21779i | 0.303371 | + | 0.0969773i | 0.452286 | − | 0.891873i | \(-0.350608\pi\) |
−0.148915 | + | 0.988850i | \(0.547578\pi\) | |||||||
\(524\) | −36.4887 | + | 5.24628i | −1.59402 | + | 0.229185i | ||||
\(525\) | 39.3661 | + | 19.1463i | 1.71808 | + | 0.835611i | ||||
\(526\) | 36.5826 | − | 31.6990i | 1.59508 | − | 1.38214i | ||||
\(527\) | −13.5131 | − | 22.1696i | −0.588639 | − | 0.965723i | ||||
\(528\) | −5.07952 | + | 18.9570i | −0.221058 | + | 0.824999i | ||||
\(529\) | −10.8987 | − | 20.2539i | −0.473856 | − | 0.880602i | ||||
\(530\) | −15.3635 | + | 27.3583i | −0.667346 | + | 1.18837i | ||||
\(531\) | 51.3306 | − | 15.0720i | 2.22756 | − | 0.654070i | ||||
\(532\) | −13.7626 | + | 20.3114i | −0.596684 | + | 0.880610i | ||||
\(533\) | 0.570459 | − | 2.62236i | 0.0247093 | − | 0.113587i | ||||
\(534\) | −33.6801 | − | 13.4835i | −1.45748 | − | 0.583487i | ||||
\(535\) | −2.34419 | + | 2.18260i | −0.101348 | + | 0.0943622i | ||||
\(536\) | −1.85159 | − | 19.3908i | −0.0799767 | − | 0.837554i | ||||
\(537\) | −4.49205 | + | 9.24728i | −0.193846 | + | 0.399050i | ||||
\(538\) | 10.6478 | + | 14.2237i | 0.459057 | + | 0.613229i | ||||
\(539\) | −19.8250 | − | 1.91394i | −0.853924 | − | 0.0824394i | ||||
\(540\) | 48.5611 | + | 86.4663i | 2.08974 | + | 3.72092i | ||||
\(541\) | 12.4777 | − | 11.8975i | 0.536459 | − | 0.511512i | −0.372706 | − | 0.927950i | \(-0.621570\pi\) |
0.909164 | + | 0.416437i | \(0.136721\pi\) | |||||||
\(542\) | −38.6855 | + | 6.50528i | −1.66168 | + | 0.279426i | ||||
\(543\) | 40.4639 | + | 17.3277i | 1.73647 | + | 0.743601i | ||||
\(544\) | −13.9973 | − | 40.4425i | −0.600129 | − | 1.73396i | ||||
\(545\) | −13.3115 | − | 5.88843i | −0.570204 | − | 0.252233i | ||||
\(546\) | 66.2468 | − | 34.1088i | 2.83510 | − | 1.45972i | ||||
\(547\) | 17.0378 | − | 22.7599i | 0.728484 | − | 0.973141i | −0.271459 | − | 0.962450i | \(-0.587506\pi\) |
0.999943 | − | 0.0106909i | \(-0.00340309\pi\) | |||||||
\(548\) | 42.1718 | − | 46.3906i | 1.80149 | − | 1.98171i | ||||
\(549\) | 22.4819 | − | 64.9573i | 0.959506 | − | 2.77231i | ||||
\(550\) | 30.8320 | − | 1.46999i | 1.31468 | − | 0.0626807i | ||||
\(551\) | −8.69896 | − | 5.02235i | −0.370588 | − | 0.213959i | ||||
\(552\) | −0.364599 | + | 24.3584i | −0.0155184 | + | 1.03676i | ||||
\(553\) | −1.41538 | + | 5.27127i | −0.0601881 | + | 0.224157i | ||||
\(554\) | −0.148067 | − | 0.504269i | −0.00629076 | − | 0.0214243i | ||||
\(555\) | 51.1783 | − | 10.4980i | 2.17240 | − | 0.445617i | ||||
\(556\) | 9.82320 | + | 5.06421i | 0.416597 | + | 0.214771i | ||||
\(557\) | −2.37562 | + | 19.8689i | −0.100658 | + | 0.841872i | 0.848959 | + | 0.528459i | \(0.177230\pi\) |
−0.949617 | + | 0.313413i | \(0.898528\pi\) | |||||||
\(558\) | −24.1927 | + | 75.6814i | −1.02416 | + | 3.20385i | ||||
\(559\) | 6.28504 | − | 13.7623i | 0.265829 | − | 0.582084i | ||||
\(560\) | 1.01988 | + | 12.2894i | 0.0430977 | + | 0.519322i | ||||
\(561\) | −7.55269 | + | 52.5301i | −0.318875 | + | 2.21782i | ||||
\(562\) | −10.6876 | + | 8.82439i | −0.450827 | + | 0.372234i | ||||
\(563\) | 0.122180 | − | 0.200449i | 0.00514928 | − | 0.00844792i | −0.851296 | − | 0.524685i | \(-0.824183\pi\) |
0.856445 | + | 0.516237i | \(0.172668\pi\) | |||||||
\(564\) | −8.97219 | + | 2.17663i | −0.377797 | + | 0.0916527i | ||||
\(565\) | 9.75203 | − | 8.24941i | 0.410271 | − | 0.347055i | ||||
\(566\) | −29.4684 | − | 4.23691i | −1.23865 | − | 0.178091i | ||||
\(567\) | 80.1074 | − | 5.68737i | 3.36419 | − | 0.238847i | ||||
\(568\) | −0.683391 | − | 1.83224i | −0.0286744 | − | 0.0768792i | ||||
\(569\) | −25.8105 | + | 13.3062i | −1.08203 | + | 0.557827i | −0.904581 | − | 0.426303i | \(-0.859816\pi\) |
−0.177452 | + | 0.984129i | \(0.556786\pi\) | |||||||
\(570\) | −34.5032 | − | 42.8140i | −1.44518 | − | 1.79328i | ||||
\(571\) | 20.4100 | − | 39.5900i | 0.854134 | − | 1.65679i | 0.104899 | − | 0.994483i | \(-0.466548\pi\) |
0.749234 | − | 0.662305i | \(-0.230422\pi\) | |||||||
\(572\) | 16.9377 | − | 25.0254i | 0.708199 | − | 1.04636i | ||||
\(573\) | −68.2318 | − | 37.2574i | −2.85042 | − | 1.55645i | ||||
\(574\) | −3.40224 | + | 1.96192i | −0.142007 | + | 0.0818888i | ||||
\(575\) | −22.9470 | + | 6.95962i | −0.956955 | + | 0.290236i | ||||
\(576\) | −48.9121 | + | 84.7183i | −2.03800 | + | 3.52993i | ||||
\(577\) | −1.07163 | − | 45.0179i | −0.0446124 | − | 1.87412i | −0.370661 | − | 0.928768i | \(-0.620869\pi\) |
0.326049 | − | 0.945353i | \(-0.394283\pi\) | |||||||
\(578\) | −14.0029 | − | 28.8262i | −0.582444 | − | 1.19901i | ||||
\(579\) | 45.7328 | − | 2.17852i | 1.90059 | − | 0.0905362i | ||||
\(580\) | 17.5431 | − | 2.73614i | 0.728437 | − | 0.113612i | ||||
\(581\) | 13.7040 | + | 26.6161i | 0.568537 | + | 1.10422i | ||||
\(582\) | 10.9403 | + | 29.3321i | 0.453490 | + | 1.21585i | ||||
\(583\) | 16.5522 | + | 8.04057i | 0.685523 | + | 0.333007i | ||||
\(584\) | −2.09959 | − | 5.24453i | −0.0868818 | − | 0.217020i | ||||
\(585\) | 12.3825 | + | 68.6237i | 0.511955 | + | 2.83724i | ||||
\(586\) | 0.0746577 | + | 0.0782987i | 0.00308408 | + | 0.00323449i | ||||
\(587\) | −7.10905 | − | 13.0193i | −0.293422 | − | 0.537362i | 0.688831 | − | 0.724922i | \(-0.258124\pi\) |
−0.982253 | + | 0.187560i | \(0.939942\pi\) | |||||||
\(588\) | −58.7386 | − | 21.9782i | −2.42234 | − | 0.906367i | ||||
\(589\) | 2.24525 | − | 15.6160i | 0.0925138 | − | 0.643448i | ||||
\(590\) | 13.9138 | − | 29.5334i | 0.572822 | − | 1.21587i | ||||
\(591\) | 71.0643 | − | 6.78582i | 2.92319 | − | 0.279131i | ||||
\(592\) | 9.89976 | + | 10.8901i | 0.406878 | + | 0.447581i | ||||
\(593\) | 13.7256 | − | 5.87765i | 0.563643 | − | 0.241366i | −0.0928732 | − | 0.995678i | \(-0.529605\pi\) |
0.656516 | + | 0.754312i | \(0.272029\pi\) | |||||||
\(594\) | 85.0701 | − | 54.6712i | 3.49047 | − | 2.24319i | ||||
\(595\) | 6.68363 | + | 32.6695i | 0.274002 | + | 1.33932i | ||||
\(596\) | −15.3568 | − | 52.3003i | −0.629037 | − | 2.14230i | ||||
\(597\) | −19.3694 | − | 72.2877i | −0.792738 | − | 2.95854i | ||||
\(598\) | −13.9254 | + | 38.3672i | −0.569454 | + | 1.56895i | ||||
\(599\) | −1.93253 | + | 1.11575i | −0.0789609 | + | 0.0455881i | −0.538961 | − | 0.842331i | \(-0.681183\pi\) |
0.460000 | + | 0.887919i | \(0.347850\pi\) | |||||||
\(600\) | 24.8180 | + | 5.39775i | 1.01319 | + | 0.220362i | ||||
\(601\) | 20.5569 | + | 23.7240i | 0.838535 | + | 0.967721i | 0.999816 | − | 0.0191873i | \(-0.00610788\pi\) |
−0.161281 | + | 0.986909i | \(0.551562\pi\) | |||||||
\(602\) | −21.0932 | + | 6.73063i | −0.859694 | + | 0.274320i | ||||
\(603\) | 60.4566 | − | 80.7605i | 2.46198 | − | 3.28882i | ||||
\(604\) | −27.6165 | − | 53.5686i | −1.12370 | − | 2.17968i | ||||
\(605\) | 0.694308 | + | 6.45675i | 0.0282276 | + | 0.262504i | ||||
\(606\) | −38.4544 | − | 7.41147i | −1.56210 | − | 0.301070i | ||||
\(607\) | −2.49954 | − | 20.9053i | −0.101453 | − | 0.848522i | −0.948451 | − | 0.316925i | \(-0.897350\pi\) |
0.846997 | − | 0.531597i | \(-0.178408\pi\) | |||||||
\(608\) | 9.08787 | − | 24.3655i | 0.368562 | − | 0.988153i | ||||
\(609\) | 7.24665 | − | 24.6323i | 0.293649 | − | 0.998150i | ||||
\(610\) | −20.5406 | − | 36.5739i | −0.831664 | − | 1.48083i | ||||
\(611\) | −4.02383 | − | 0.384230i | −0.162787 | − | 0.0155443i | ||||
\(612\) | −47.7601 | + | 111.530i | −1.93059 | + | 4.50835i | ||||
\(613\) | 14.2025 | + | 20.9841i | 0.573632 | + | 0.847541i | 0.998328 | − | 0.0577949i | \(-0.0184069\pi\) |
−0.424696 | + | 0.905336i | \(0.639619\pi\) | |||||||
\(614\) | 42.1935 | − | 30.0459i | 1.70279 | − | 1.21255i | ||||
\(615\) | −1.13497 | − | 4.93349i | −0.0457665 | − | 0.198938i | ||||
\(616\) | −11.4391 | + | 1.63860i | −0.460895 | + | 0.0660212i | ||||
\(617\) | −0.187341 | + | 0.861194i | −0.00754207 | + | 0.0346704i | −0.980764 | − | 0.195197i | \(-0.937465\pi\) |
0.973222 | + | 0.229867i | \(0.0738291\pi\) | |||||||
\(618\) | 30.8102 | + | 20.8530i | 1.23937 | + | 0.838829i | ||||
\(619\) | −2.37331 | − | 2.26295i | −0.0953916 | − | 0.0909557i | 0.640883 | − | 0.767639i | \(-0.278568\pi\) |
−0.736275 | + | 0.676683i | \(0.763417\pi\) | |||||||
\(620\) | 14.2304 | + | 23.9829i | 0.571507 | + | 0.963178i | ||||
\(621\) | −53.7067 | + | 57.3314i | −2.15517 | + | 2.30063i | ||||
\(622\) | 7.75652 | + | 7.75652i | 0.311008 | + | 0.311008i | ||||
\(623\) | 0.311175 | + | 13.3653i | 0.0124669 | + | 0.535470i | ||||
\(624\) | −20.4479 | + | 17.7182i | −0.818569 | + | 0.709294i | ||||
\(625\) | 2.37847 | + | 24.8866i | 0.0951387 | + | 0.995464i | ||||
\(626\) | −16.2163 | − | 20.6206i | −0.648132 | − | 0.824167i | ||||
\(627\) | −23.8621 | + | 21.6921i | −0.952960 | + | 0.866298i | ||||
\(628\) | 0.734435 | − | 4.36752i | 0.0293071 | − | 0.174283i | ||||
\(629\) | 30.0768 | + | 26.0617i | 1.19924 | + | 1.03915i | ||||
\(630\) | 62.1632 | − | 80.9286i | 2.47664 | − | 3.22427i | ||||
\(631\) | −21.5899 | + | 9.85980i | −0.859482 | + | 0.392512i | −0.795874 | − | 0.605463i | \(-0.792988\pi\) |
−0.0636083 | + | 0.997975i | \(0.520261\pi\) | |||||||
\(632\) | −0.0753602 | + | 3.16580i | −0.00299767 | + | 0.125929i | ||||
\(633\) | 13.1843 | + | 8.03622i | 0.524027 | + | 0.319411i | ||||
\(634\) | 4.70469 | + | 3.35020i | 0.186847 | + | 0.133053i | ||||
\(635\) | 37.7200 | − | 4.96673i | 1.49687 | − | 0.197099i | ||||
\(636\) | 43.7912 | + | 37.9453i | 1.73643 | + | 1.50463i | ||||
\(637\) | −21.1552 | − | 17.5044i | −0.838201 | − | 0.693550i | ||||
\(638\) | −3.84847 | − | 17.6912i | −0.152363 | − | 0.700399i | ||||
\(639\) | 3.76413 | − | 9.40234i | 0.148907 | − | 0.371951i | ||||
\(640\) | 8.12974 | + | 24.4243i | 0.321356 | + | 0.965454i | ||||
\(641\) | 13.3406 | + | 4.61724i | 0.526923 | + | 0.182370i | 0.577562 | − | 0.816347i | \(-0.304004\pi\) |
−0.0506382 | + | 0.998717i | \(0.516126\pi\) | |||||||
\(642\) | 5.35261 | + | 8.78151i | 0.211251 | + | 0.346578i | ||||
\(643\) | 23.3490 | + | 23.3490i | 0.920796 | + | 0.920796i | 0.997086 | − | 0.0762893i | \(-0.0243073\pi\) |
−0.0762893 | + | 0.997086i | \(0.524307\pi\) | |||||||
\(644\) | 31.7863 | − | 13.0329i | 1.25255 | − | 0.513566i | ||||
\(645\) | −0.340204 | − | 28.5375i | −0.0133955 | − | 1.12366i | ||||
\(646\) | 9.87511 | − | 40.7057i | 0.388531 | − | 1.60155i | ||||
\(647\) | −8.09957 | + | 3.93453i | −0.318427 | + | 0.154682i | −0.589259 | − | 0.807945i | \(-0.700580\pi\) |
0.270832 | + | 0.962627i | \(0.412701\pi\) | |||||||
\(648\) | 44.3825 | − | 14.1876i | 1.74351 | − | 0.557340i | ||||
\(649\) | −17.7751 | − | 7.11606i | −0.697732 | − | 0.279330i | ||||
\(650\) | 36.3368 | + | 22.1464i | 1.42525 | + | 0.868652i | ||||
\(651\) | 40.1473 | − | 3.81246i | 1.57350 | − | 0.149422i | ||||
\(652\) | 33.1496 | − | 2.37091i | 1.29824 | − | 0.0928519i | ||||
\(653\) | 14.9124 | − | 1.78299i | 0.583566 | − | 0.0697739i | 0.178306 | − | 0.983975i | \(-0.442938\pi\) |
0.405261 | + | 0.914201i | \(0.367181\pi\) | |||||||
\(654\) | −27.1098 | + | 38.0703i | −1.06008 | + | 1.48867i | ||||
\(655\) | −29.4992 | + | 7.52988i | −1.15263 | + | 0.294217i | ||||
\(656\) | 1.03211 | − | 0.984113i | 0.0402971 | − | 0.0384232i | ||||
\(657\) | 10.2244 | − | 27.4127i | 0.398892 | − | 1.06947i | ||||
\(658\) | 3.54248 | + | 4.73735i | 0.138100 | + | 0.184681i | ||||
\(659\) | 25.9704 | − | 29.9714i | 1.01166 | − | 1.16752i | 0.0258512 | − | 0.999666i | \(-0.491770\pi\) |
0.985812 | − | 0.167855i | \(-0.0536842\pi\) | |||||||
\(660\) | 8.78196 | − | 56.3219i | 0.341837 | − | 2.19233i | ||||
\(661\) | −5.79970 | − | 0.276274i | −0.225582 | − | 0.0107458i | −0.0655136 | − | 0.997852i | \(-0.520869\pi\) |
−0.160069 | + | 0.987106i | \(0.551172\pi\) | |||||||
\(662\) | 46.5403 | + | 5.56457i | 1.80884 | + | 0.216273i | ||||
\(663\) | −49.2142 | + | 54.1375i | −1.91132 | + | 2.10252i | ||||
\(664\) | 11.3745 | + | 13.1268i | 0.441415 | + | 0.509420i | ||||
\(665\) | −9.50759 | + | 17.8938i | −0.368689 | + | 0.693891i | ||||
\(666\) | − | 121.790i | − | 4.71925i | ||||||
\(667\) | 6.25706 | + | 12.5964i | 0.242274 | + | 0.487734i | ||||
\(668\) | 38.0787 | + | 10.2031i | 1.47331 | + | 0.394771i | ||||
\(669\) | −58.3951 | + | 61.2430i | −2.25768 | + | 2.36779i | ||||
\(670\) | −12.3707 | − | 60.3077i | −0.477922 | − | 2.32989i | ||||
\(671\) | −20.6957 | + | 13.3003i | −0.798948 | + | 0.513452i | ||||
\(672\) | 65.9998 | + | 7.92618i | 2.54600 | + | 0.305759i | ||||
\(673\) | −26.4422 | + | 5.75214i | −1.01927 | + | 0.221729i | −0.691000 | − | 0.722855i | \(-0.742829\pi\) |
−0.328270 | + | 0.944584i | \(0.606466\pi\) | |||||||
\(674\) | 30.3355 | + | 42.6003i | 1.16848 | + | 1.64090i | ||||
\(675\) | 47.5106 | + | 66.7134i | 1.82868 | + | 2.56780i | ||||
\(676\) | 5.99916 | − | 2.40170i | 0.230737 | − | 0.0923731i | ||||
\(677\) | −15.4204 | + | 12.7322i | −0.592655 | + | 0.489337i | −0.884130 | − | 0.467241i | \(-0.845248\pi\) |
0.291475 | + | 0.956579i | \(0.405854\pi\) | |||||||
\(678\) | −19.6553 | − | 35.9961i | −0.754859 | − | 1.38242i | ||||
\(679\) | 8.35345 | − | 7.95668i | 0.320576 | − | 0.305349i | ||||
\(680\) | 8.24640 | + | 17.5019i | 0.316235 | + | 0.671168i | ||||
\(681\) | 35.8389 | − | 45.5729i | 1.37335 | − | 1.74636i | ||||
\(682\) | 23.5495 | − | 15.9388i | 0.901758 | − | 0.610327i | ||||
\(683\) | −6.76523 | + | 8.19363i | −0.258864 | + | 0.313521i | −0.884450 | − | 0.466635i | \(-0.845466\pi\) |
0.625586 | + | 0.780156i | \(0.284860\pi\) | |||||||
\(684\) | −65.5284 | + | 33.7823i | −2.50554 | + | 1.29170i | ||||
\(685\) | 30.5329 | − | 41.8171i | 1.16660 | − | 1.59775i | ||||
\(686\) | 1.84914 | + | 40.1404i | 0.0706003 | + | 1.53257i | ||||
\(687\) | −50.8772 | − | 3.63881i | −1.94109 | − | 0.138829i | ||||
\(688\) | 6.86496 | − | 4.18441i | 0.261724 | − | 0.159529i | ||||
\(689\) | 12.6845 | + | 21.9702i | 0.483241 | + | 0.836999i | ||||
\(690\) | 7.08518 | + | 76.6667i | 0.269728 | + | 2.91865i | ||||
\(691\) | 1.92691 | − | 3.33751i | 0.0733033 | − | 0.126965i | −0.827044 | − | 0.562137i | \(-0.809979\pi\) |
0.900347 | + | 0.435172i | \(0.143313\pi\) | |||||||
\(692\) | 5.28561 | + | 2.88616i | 0.200929 | + | 0.109715i | ||||
\(693\) | −49.5459 | − | 33.5713i | −1.88209 | − | 1.27527i | ||||
\(694\) | 38.2079 | + | 59.4526i | 1.45035 | + | 2.25679i | ||||
\(695\) | 8.51343 | + | 3.29107i | 0.322933 | + | 0.124837i | ||||
\(696\) | 0.708837 | − | 14.8803i | 0.0268684 | − | 0.564037i | ||||
\(697\) | 2.45527 | − | 2.97367i | 0.0930000 | − | 0.112636i | ||||
\(698\) | −39.7786 | − | 19.3233i | −1.50564 | − | 0.731396i | ||||
\(699\) | −40.8297 | − | 5.87043i | −1.54432 | − | 0.222040i | ||||
\(700\) | −6.76150 | − | 35.1729i | −0.255561 | − | 1.32941i | ||||
\(701\) | 10.0996 | − | 34.3962i | 0.381458 | − | 1.29913i | −0.515454 | − | 0.856917i | \(-0.672377\pi\) |
0.896912 | − | 0.442209i | \(-0.145805\pi\) | |||||||
\(702\) | 139.370 | + | 3.31763i | 5.26019 | + | 0.125216i | ||||
\(703\) | 4.01024 | + | 23.8480i | 0.151249 | + | 0.899445i | ||||
\(704\) | 32.5030 | − | 13.0122i | 1.22500 | − | 0.490417i | ||||
\(705\) | −7.17527 | + | 2.57957i | −0.270236 | + | 0.0971521i | ||||
\(706\) | −31.8716 | + | 69.7891i | −1.19950 | + | 2.62655i | ||||
\(707\) | 3.06026 | + | 14.1032i | 0.115093 | + | 0.530407i | ||||
\(708\) | −48.2640 | − | 36.1300i | −1.81387 | − | 1.35785i | ||||
\(709\) | −0.0138201 | − | 0.290119i | −0.000519024 | − | 0.0108956i | 0.998593 | − | 0.0530290i | \(-0.0168876\pi\) |
−0.999112 | + | 0.0421334i | \(0.986585\pi\) | |||||||
\(710\) | −2.76661 | − | 5.52669i | −0.103829 | − | 0.207413i | ||||
\(711\) | −11.3176 | + | 11.8696i | −0.424444 | + | 0.445144i | ||||
\(712\) | 2.00756 | + | 7.49232i | 0.0752365 | + | 0.280786i | ||||
\(713\) | −14.7147 | + | 16.4767i | −0.551068 | + | 0.617059i | ||||
\(714\) | 107.070 | + | 0.0558824i | 4.00698 | + | 0.00209135i | ||||
\(715\) | 11.6985 | − | 22.0450i | 0.437501 | − | 0.824438i | ||||
\(716\) | 8.25959 | − | 1.59190i | 0.308675 | − | 0.0594923i | ||||
\(717\) | 25.6536 | + | 80.2514i | 0.958051 | + | 2.99704i | ||||
\(718\) | −32.3758 | − | 3.87100i | −1.20826 | − | 0.144465i | ||||
\(719\) | 0.616370 | + | 1.19559i | 0.0229867 | + | 0.0445881i | 0.900049 | − | 0.435788i | \(-0.143530\pi\) |
−0.877062 | + | 0.480376i | \(0.840500\pi\) | |||||||
\(720\) | −14.9903 | + | 33.8874i | −0.558655 | + | 1.26291i | ||||
\(721\) | 2.60162 | − | 13.4607i | 0.0968894 | − | 0.501302i | ||||
\(722\) | −12.6258 | + | 9.45155i | −0.469883 | + | 0.351750i | ||||
\(723\) | −2.71935 | − | 3.29351i | −0.101134 | − | 0.122487i | ||||
\(724\) | −8.49097 | − | 35.0002i | −0.315564 | − | 1.30077i | ||||
\(725\) | 14.1638 | − | 3.79581i | 0.526030 | − | 0.140973i | ||||
\(726\) | 20.7567 | + | 1.98203i | 0.770355 | + | 0.0735600i | ||||
\(727\) | −8.41523 | − | 11.2414i | −0.312104 | − | 0.416922i | 0.616871 | − | 0.787064i | \(-0.288400\pi\) |
−0.928975 | + | 0.370142i | \(0.879309\pi\) | |||||||
\(728\) | −14.3262 | − | 6.96849i | −0.530965 | − | 0.258269i | ||||
\(729\) | 71.5922 | + | 32.6950i | 2.65156 | + | 1.21093i | ||||
\(730\) | −8.36990 | − | 15.7709i | −0.309784 | − | 0.583706i | ||||
\(731\) | 17.0890 | − | 13.4389i | 0.632060 | − | 0.497058i | ||||
\(732\) | −73.7859 | + | 23.5868i | −2.72721 | + | 0.871793i | ||||
\(733\) | −2.10806 | − | 1.42678i | −0.0778630 | − | 0.0526992i | 0.520956 | − | 0.853583i | \(-0.325575\pi\) |
−0.598819 | + | 0.800884i | \(0.704363\pi\) | |||||||
\(734\) | −44.1320 | + | 12.9583i | −1.62894 | + | 0.478301i | ||||
\(735\) | −50.1735 | − | 12.8607i | −1.85068 | − | 0.474375i | ||||
\(736\) | −29.4735 | + | 21.3828i | −1.08641 | + | 0.788182i | ||||
\(737\) | −34.8751 | + | 9.34476i | −1.28464 | + | 0.344219i | ||||
\(738\) | −11.7979 | + | 0.280842i | −0.434286 | + | 0.0103379i | ||||
\(739\) | 4.72223 | + | 1.63438i | 0.173710 | + | 0.0601216i | 0.412539 | − | 0.910940i | \(-0.364642\pi\) |
−0.238829 | + | 0.971062i | \(0.576763\pi\) | |||||||
\(740\) | −31.9705 | − | 28.3745i | −1.17526 | − | 1.04307i | ||||
\(741\) | −44.0053 | + | 6.32701i | −1.61658 | + | 0.232428i | ||||
\(742\) | 11.3227 | − | 35.3570i | 0.415671 | − | 1.29800i | ||||
\(743\) | 9.32207 | − | 3.47695i | 0.341994 | − | 0.127557i | −0.172598 | − | 0.984992i | \(-0.555216\pi\) |
0.514592 | + | 0.857435i | \(0.327943\pi\) | |||||||
\(744\) | 22.1113 | − | 7.65278i | 0.810638 | − | 0.280565i | ||||
\(745\) | −17.2282 | − | 41.5901i | −0.631192 | − | 1.52374i | ||||
\(746\) | −10.1876 | − | 7.25454i | −0.372994 | − | 0.265608i | ||||
\(747\) | −2.14075 | + | 89.9307i | −0.0783260 | + | 3.29039i | ||||
\(748\) | 38.1107 | − | 20.8100i | 1.39347 | − | 0.760890i | ||||
\(749\) | 2.19991 | − | 3.08593i | 0.0803829 | − | 0.112757i | ||||
\(750\) | 79.8118 | + | 8.57563i | 2.91431 | + | 0.313138i | ||||
\(751\) | 2.02892 | − | 0.702217i | 0.0740365 | − | 0.0256243i | −0.289799 | − | 0.957088i | \(-0.593588\pi\) |
0.363835 | + | 0.931463i | \(0.381467\pi\) | |||||||
\(752\) | −1.65633 | − | 1.36758i | −0.0604002 | − | 0.0498706i | ||||
\(753\) | −4.67001 | + | 4.24532i | −0.170185 | + | 0.154708i | ||||
\(754\) | 9.27658 | − | 23.1718i | 0.337833 | − | 0.843866i | ||||
\(755\) | −27.4072 | − | 41.5490i | −0.997451 | − | 1.51212i | ||||
\(756\) | −76.7944 | − | 88.7190i | −2.79299 | − | 3.22668i | ||||
\(757\) | −18.0390 | + | 33.0359i | −0.655637 | + | 1.20071i | 0.312411 | + | 0.949947i | \(0.398863\pi\) |
−0.968049 | + | 0.250763i | \(0.919319\pi\) | |||||||
\(758\) | 31.5998 | − | 8.46713i | 1.14776 | − | 0.307540i | ||||
\(759\) | 44.6366 | − | 6.82072i | 1.62021 | − | 0.247577i | ||||
\(760\) | −2.90720 | + | 11.3913i | −0.105455 | + | 0.413206i | ||||
\(761\) | 6.92307 | − | 28.5373i | 0.250961 | − | 1.03448i | −0.697248 | − | 0.716830i | \(-0.745592\pi\) |
0.948209 | − | 0.317646i | \(-0.102892\pi\) | |||||||
\(762\) | 8.71470 | − | 121.847i | 0.315700 | − | 4.41407i | ||||
\(763\) | 16.8271 | + | 3.66972i | 0.609183 | + | 0.132853i | ||||
\(764\) | 9.05234 | + | 62.9604i | 0.327502 | + | 2.27783i | ||||
\(765\) | −29.3699 | + | 95.7997i | −1.06187 | + | 3.46365i | ||||
\(766\) | −1.11054 | − | 11.6301i | −0.0401254 | − | 0.420212i | ||||
\(767\) | −14.7950 | − | 21.8596i | −0.534217 | − | 0.789305i | ||||
\(768\) | 1.20893 | − | 0.144546i | 0.0436237 | − | 0.00521585i | ||||
\(769\) | 16.6273 | + | 36.4086i | 0.599595 | + | 1.31293i | 0.929468 | + | 0.368904i | \(0.120267\pi\) |
−0.329873 | + | 0.944025i | \(0.607006\pi\) | |||||||
\(770\) | −35.3924 | + | 9.01449i | −1.27546 | + | 0.324860i | ||||
\(771\) | −10.8599 | − | 3.18877i | −0.391111 | − | 0.114841i | ||||
\(772\) | −23.8511 | − | 28.8869i | −0.858419 | − | 1.03966i | ||||
\(773\) | −14.7561 | − | 6.31893i | −0.530740 | − | 0.227276i | 0.111521 | − | 0.993762i | \(-0.464428\pi\) |
−0.642261 | + | 0.766486i | \(0.722003\pi\) | |||||||
\(774\) | −65.3283 | − | 12.5910i | −2.34818 | − | 0.452574i | ||||
\(775\) | 13.8029 | + | 18.4369i | 0.495815 | + | 0.662273i | ||||
\(776\) | 3.61872 | − | 5.63084i | 0.129904 | − | 0.202135i | ||||
\(777\) | −56.8375 | + | 24.3042i | −2.03904 | + | 0.871907i | ||||
\(778\) | 16.3308 | + | 3.55255i | 0.585487 | + | 0.127365i | ||||
\(779\) | 2.30094 | − | 0.443469i | 0.0824396 | − | 0.0158889i | ||||
\(780\) | 53.5476 | − | 57.5166i | 1.91731 | − | 2.05942i | ||||
\(781\) | −3.13909 | + | 1.81235i | −0.112325 | + | 0.0648510i | ||||
\(782\) | −43.0483 | + | 39.8337i | −1.53941 | + | 1.42445i | ||||
\(783\) | 33.9688 | − | 33.9688i | 1.21395 | − | 1.21395i | ||||
\(784\) | −4.09615 | − | 14.0043i | −0.146291 | − | 0.500152i | ||||
\(785\) | 0.217428 | − | 3.65122i | 0.00776032 | − | 0.130317i | ||||
\(786\) | 4.65135 | + | 97.6438i | 0.165908 | + | 3.48284i | ||||
\(787\) | −1.24414 | + | 10.4056i | −0.0443489 | + | 0.370920i | 0.953279 | + | 0.302090i | \(0.0976843\pi\) |
−0.997628 | + | 0.0688303i | \(0.978073\pi\) | |||||||
\(788\) | −39.2896 | − | 43.2201i | −1.39964 | − | 1.53965i | ||||
\(789\) | −42.8234 | − | 60.1370i | −1.52455 | − | 2.14093i | ||||
\(790\) | 0.832938 | + | 9.97365i | 0.0296346 | + | 0.354846i | ||||
\(791\) | −9.34872 | + | 11.8751i | −0.332402 | + | 0.422230i | ||||
\(792\) | −32.5345 | − | 12.1347i | −1.15606 | − | 0.431189i | ||||
\(793\) | −33.9057 | − | 0.807106i | −1.20403 | − | 0.0286612i | ||||
\(794\) | −78.4911 | + | 19.0417i | −2.78555 | + | 0.675766i | ||||
\(795\) | 39.3094 | + | 27.2918i | 1.39416 | + | 0.967941i | ||||
\(796\) | −37.8513 | + | 48.1318i | −1.34160 | + | 1.70599i | ||||
\(797\) | −0.842313 | − | 11.7771i | −0.0298363 | − | 0.417166i | −0.990318 | − | 0.138821i | \(-0.955669\pi\) |
0.960481 | − | 0.278345i | \(-0.0897858\pi\) | |||||||
\(798\) | 50.1481 | + | 41.4498i | 1.77522 | + | 1.46731i | ||||
\(799\) | −4.88627 | − | 3.14021i | −0.172864 | − | 0.111093i | ||||
\(800\) | 15.7719 | + | 34.5320i | 0.557623 | + | 1.22089i | ||||
\(801\) | −18.4078 | + | 35.7061i | −0.650407 | + | 1.26161i | ||||
\(802\) | 22.9758 | + | 47.2976i | 0.811303 | + | 1.67014i | ||||
\(803\) | −8.94108 | + | 5.44987i | −0.315524 | + | 0.192322i | ||||
\(804\) | −113.690 | −4.00952 | ||||||||
\(805\) | 24.9503 | − | 13.5086i | 0.879383 | − | 0.476114i | ||||
\(806\) | 39.2027 | 1.38086 | ||||||||
\(807\) | 23.1388 | − | 14.1039i | 0.814525 | − | 0.496479i | ||||
\(808\) | 3.65857 | + | 7.53149i | 0.128708 | + | 0.264957i | ||||
\(809\) | −5.57726 | + | 10.8184i | −0.196086 | + | 0.380354i | −0.966295 | − | 0.257438i | \(-0.917122\pi\) |
0.770209 | + | 0.637792i | \(0.220152\pi\) | |||||||
\(810\) | 134.673 | − | 59.5800i | 4.73193 | − | 2.09343i | ||||
\(811\) | −7.34981 | − | 4.72343i | −0.258087 | − | 0.165862i | 0.405199 | − | 0.914228i | \(-0.367202\pi\) |
−0.663286 | + | 0.748366i | \(0.730839\pi\) | |||||||
\(812\) | −19.6875 | + | 7.33134i | −0.690895 | + | 0.257280i | ||||
\(813\) | 4.26820 | + | 59.6773i | 0.149692 | + | 2.09297i | ||||
\(814\) | −26.9443 | + | 34.2625i | −0.944398 | + | 1.20090i | ||||
\(815\) | 27.0113 | − | 4.87395i | 0.946164 | − | 0.170727i | ||||
\(816\) | −37.7825 | + | 9.16595i | −1.32265 | + | 0.320872i | ||||
\(817\) | 13.2067 | + | 0.314379i | 0.462045 | + | 0.0109987i | ||||
\(818\) | −48.9650 | − | 18.2630i | −1.71202 | − | 0.638551i | ||||
\(819\) | −30.6251 | − | 76.6136i | −1.07013 | − | 2.67710i | ||||
\(820\) | −2.67494 | + | 3.16245i | −0.0934131 | + | 0.110437i | ||||
\(821\) | −4.77957 | − | 6.71197i | −0.166808 | − | 0.234249i | 0.722707 | − | 0.691154i | \(-0.242897\pi\) |
−0.889516 | + | 0.456905i | \(0.848958\pi\) | |||||||
\(822\) | −111.830 | − | 123.017i | −3.90052 | − | 4.29071i | ||||
\(823\) | 5.39512 | − | 45.1231i | 0.188062 | − | 1.57289i | −0.512112 | − | 0.858919i | \(-0.671137\pi\) |
0.700174 | − | 0.713972i | \(-0.253106\pi\) | |||||||
\(824\) | −0.378484 | − | 7.94536i | −0.0131851 | − | 0.276790i | ||||
\(825\) | 2.23807 | − | 47.0238i | 0.0779194 | − | 1.63716i | ||||
\(826\) | −9.12656 | + | 37.5347i | −0.317553 | + | 1.30600i | ||||
\(827\) | −12.2585 | + | 12.2585i | −0.426270 | + | 0.426270i | −0.887356 | − | 0.461085i | \(-0.847460\pi\) |
0.461085 | + | 0.887356i | \(0.347460\pi\) | |||||||
\(828\) | 102.604 | + | 11.3495i | 3.56575 | + | 0.394424i | ||||
\(829\) | −10.6161 | + | 6.12919i | −0.368711 | + | 0.212875i | −0.672895 | − | 0.739738i | \(-0.734950\pi\) |
0.304184 | + | 0.952613i | \(0.401616\pi\) | |||||||
\(830\) | 40.1786 | + | 37.4061i | 1.39462 | + | 1.29838i | ||||
\(831\) | −0.787072 | + | 0.151696i | −0.0273032 | + | 0.00526227i | ||||
\(832\) | 47.1635 | + | 10.2598i | 1.63510 | + | 0.355694i | ||||
\(833\) | −15.4939 | − | 36.2863i | −0.536832 | − | 1.25725i | ||||
\(834\) | 15.8444 | − | 24.6544i | 0.548647 | − | 0.853712i | ||||
\(835\) | 32.1690 | + | 5.01593i | 1.11325 | + | 0.173583i | ||||
\(836\) | 25.9087 | + | 4.99349i | 0.896070 | + | 0.172703i | ||||
\(837\) | 69.3603 | + | 29.7018i | 2.39744 | + | 1.02664i | ||||
\(838\) | 41.2171 | + | 49.9197i | 1.42382 | + | 1.72445i | ||||
\(839\) | −19.0704 | − | 5.59959i | −0.658385 | − | 0.193319i | −0.0645602 | − | 0.997914i | \(-0.520564\pi\) |
−0.593824 | + | 0.804595i | \(0.702383\pi\) | |||||||
\(840\) | −30.0493 | − | 0.372665i | −1.03680 | − | 0.0128582i | ||||
\(841\) | 8.47411 | + | 18.5557i | 0.292211 | + | 0.639852i | ||||
\(842\) | 60.6351 | − | 7.24981i | 2.08962 | − | 0.249845i | ||||
\(843\) | 11.8482 | + | 17.5057i | 0.408073 | + | 0.602928i | ||||
\(844\) | −1.20087 | − | 12.5761i | −0.0413358 | − | 0.432888i | ||||
\(845\) | 4.71410 | − | 2.50186i | 0.162170 | − | 0.0860667i | ||||
\(846\) | 2.52963 | + | 17.5940i | 0.0869705 | + | 0.604893i | ||||
\(847\) | −2.33579 | − | 7.32014i | −0.0802585 | − | 0.251523i | ||||
\(848\) | −0.961715 | + | 13.4465i | −0.0330254 | + | 0.461756i | ||||
\(849\) | −10.7049 | + | 44.1261i | −0.367390 | + | 1.51440i | ||||
\(850\) | 31.8274 | + | 52.2113i | 1.09167 | + | 1.79083i | ||||
\(851\) | 13.7939 | − | 30.9245i | 0.472850 | − | 1.06008i | ||||
\(852\) | −11.0246 | + | 2.95404i | −0.377698 | + | 0.101204i | ||||
\(853\) | −11.8306 | + | 21.6662i | −0.405073 | + | 0.741836i | −0.997986 | − | 0.0634301i | \(-0.979796\pi\) |
0.592913 | + | 0.805267i | \(0.297978\pi\) | |||||||
\(854\) | 32.4829 | + | 37.5268i | 1.11154 | + | 1.28414i | ||||
\(855\) | −50.8253 | + | 33.5262i | −1.73819 | + | 1.14657i | ||||
\(856\) | 0.817221 | − | 2.04132i | 0.0279320 | − | 0.0697709i | ||||
\(857\) | 11.2776 | − | 10.2521i | 0.385237 | − | 0.350204i | −0.456851 | − | 0.889543i | \(-0.651023\pi\) |
0.842089 | + | 0.539339i | \(0.181326\pi\) | |||||||
\(858\) | −61.7916 | − | 51.0195i | −2.10953 | − | 1.74178i | ||||
\(859\) | 2.32106 | − | 0.803327i | 0.0791936 | − | 0.0274092i | −0.287184 | − | 0.957875i | \(-0.592719\pi\) |
0.366378 | + | 0.930466i | \(0.380598\pi\) | |||||||
\(860\) | −18.5254 | + | 14.2156i | −0.631709 | + | 0.484749i | ||||
\(861\) | 2.48544 | + | 5.44987i | 0.0847034 | + | 0.185731i | ||||
\(862\) | 30.9561 | − | 16.9033i | 1.05437 | − | 0.575729i | ||||
\(863\) | −1.01785 | + | 42.7590i | −0.0346481 | + | 1.45553i | 0.668088 | + | 0.744082i | \(0.267113\pi\) |
−0.702736 | + | 0.711450i | \(0.748039\pi\) | |||||||
\(864\) | 101.309 | + | 72.1421i | 3.44662 | + | 2.45432i | ||||
\(865\) | 4.59510 | + | 1.90324i | 0.156238 | + | 0.0647121i | ||||
\(866\) | −1.26805 | + | 0.438876i | −0.0430901 | + | 0.0149136i | ||||
\(867\) | −45.7954 | + | 17.0808i | −1.55529 | + | 0.580095i | ||||
\(868\) | −22.1826 | − | 24.4273i | −0.752926 | − | 0.829116i | ||||
\(869\) | 5.80992 | − | 0.835340i | 0.197088 | − | 0.0283370i | ||||
\(870\) | −2.80073 | − | 46.9992i | −0.0949537 | − | 1.59342i | ||||
\(871\) | −47.0378 | − | 16.2799i | −1.59382 | − | 0.551625i | ||||
\(872\) | 9.98968 | − | 0.237799i | 0.338293 | − | 0.00805288i | ||||
\(873\) | 33.4841 | − | 8.97204i | 1.13327 | − | 0.303658i | ||||
\(874\) | −35.5822 | + | 2.01014i | −1.20359 | + | 0.0679941i | ||||
\(875\) | −8.65791 | − | 28.2850i | −0.292691 | − | 0.956207i | ||||
\(876\) | −31.6361 | + | 9.28919i | −1.06888 | + | 0.313853i | ||||
\(877\) | 5.77669 | + | 3.90978i | 0.195065 | + | 0.132024i | 0.654139 | − | 0.756374i | \(-0.273031\pi\) |
−0.459074 | + | 0.888398i | \(0.651819\pi\) | |||||||
\(878\) | −25.3038 | + | 8.08875i | −0.853962 | + | 0.272982i | ||||
\(879\) | 0.129700 | − | 0.101998i | 0.00437469 | − | 0.00344029i | ||||
\(880\) | 11.7143 | − | 6.21699i | 0.394888 | − | 0.209575i | ||||
\(881\) | −0.745965 | − | 0.340671i | −0.0251322 | − | 0.0114775i | 0.402809 | − | 0.915284i | \(-0.368034\pi\) |
−0.427941 | + | 0.903806i | \(0.640761\pi\) | |||||||
\(882\) | −52.8719 | + | 108.553i | −1.78029 | + | 3.65517i | ||||
\(883\) | 2.22558 | + | 2.97303i | 0.0748967 | + | 0.100050i | 0.836425 | − | 0.548081i | \(-0.184642\pi\) |
−0.761528 | + | 0.648132i | \(0.775551\pi\) | |||||||
\(884\) | 59.5914 | + | 5.69029i | 2.00428 | + | 0.191385i | ||||
\(885\) | −42.8219 | − | 25.4062i | −1.43944 | − | 0.854021i | ||||
\(886\) | 7.58968 | + | 31.2851i | 0.254980 | + | 1.05104i | ||||
\(887\) | 19.0572 | + | 23.0809i | 0.639879 | + | 0.774982i | 0.986630 | − | 0.162975i | \(-0.0521091\pi\) |
−0.346751 | + | 0.937957i | \(0.612715\pi\) | |||||||
\(888\) | −28.7117 | + | 21.4933i | −0.963501 | + | 0.721268i | ||||
\(889\) | −42.5480 | + | 14.7011i | −1.42701 | + | 0.493060i | ||||
\(890\) | 8.84024 | + | 22.8654i | 0.296326 | + | 0.766450i | ||||
\(891\) | −39.5754 | − | 76.7656i | −1.32583 | − | 2.57175i | ||||
\(892\) | 68.7472 | + | 8.21973i | 2.30183 | + | 0.275217i | ||||
\(893\) | −1.07466 | − | 3.36184i | −0.0359622 | − | 0.112500i | ||||
\(894\) | −141.931 | + | 27.3550i | −4.74689 | + | 0.914888i | ||||
\(895\) | 6.64175 | − | 2.03650i | 0.222009 | − | 0.0680727i | ||||
\(896\) | −15.2152 | − | 26.3854i | −0.508306 | − | 0.881474i | ||||
\(897\) | 56.2321 | + | 26.7046i | 1.87754 | + | 0.891640i | ||||
\(898\) | −2.12462 | − | 7.92919i | −0.0708995 | − | 0.264601i | ||||
\(899\) | 9.32218 | − | 9.77683i | 0.310912 | − | 0.326075i | ||||
\(900\) | 32.7660 | − | 102.516i | 1.09220 | − | 3.41719i | ||||
\(901\) | 1.73454 | + | 36.4125i | 0.0577860 | + | 1.21308i | ||||
\(902\) | 3.38118 | + | 2.53112i | 0.112581 | + | 0.0842770i | ||||
\(903\) | 7.16078 | + | 33.0005i | 0.238296 | + | 1.09819i | ||||
\(904\) | −3.64268 | + | 7.97636i | −0.121154 | + | 0.265290i | ||||
\(905\) | −10.0628 | − | 27.9905i | −0.334499 | − | 0.930436i | ||||
\(906\) | −148.370 | + | 59.3982i | −4.92925 | + | 1.97337i | ||||
\(907\) | −0.390330 | − | 2.32121i | −0.0129607 | − | 0.0770745i | 0.978921 | − | 0.204241i | \(-0.0654725\pi\) |
−0.991881 | + | 0.127166i | \(0.959412\pi\) | |||||||
\(908\) | −47.4233 | − | 1.12888i | −1.57380 | − | 0.0374633i | ||||
\(909\) | −12.2172 | + | 41.6079i | −0.405219 | + | 1.38005i | ||||
\(910\) | −47.3732 | − | 17.0568i | −1.57041 | − | 0.565426i | ||||
\(911\) | 27.6255 | + | 3.97194i | 0.915272 | + | 0.131596i | 0.583827 | − | 0.811878i | \(-0.301555\pi\) |
0.331445 | + | 0.943474i | \(0.392464\pi\) | |||||||
\(912\) | −21.2500 | − | 10.3226i | −0.703657 | − | 0.341815i | ||||
\(913\) | 20.4982 | − | 24.8262i | 0.678392 | − | 0.821626i | ||||
\(914\) | 0.212303 | − | 4.45678i | 0.00702235 | − | 0.147417i | ||||
\(915\) | −58.5062 | + | 25.8834i | −1.93415 | + | 0.855679i | ||||
\(916\) | 22.5631 | + | 35.1089i | 0.745507 | + | 1.16003i | ||||
\(917\) | 32.4106 | − | 15.7232i | 1.07029 | − | 0.519225i | ||||
\(918\) | 175.820 | + | 96.0049i | 5.80292 | + | 3.16863i | ||||
\(919\) | −0.146066 | + | 0.252994i | −0.00481827 | + | 0.00834549i | −0.868424 | − | 0.495821i | \(-0.834867\pi\) |
0.863606 | + | 0.504167i | \(0.168200\pi\) | |||||||
\(920\) | 12.2145 | − | 11.0359i | 0.402700 | − | 0.363844i | ||||
\(921\) | −39.5001 | − | 68.4162i | −1.30157 | − | 2.25439i | ||||
\(922\) | −13.9217 | + | 8.48574i | −0.458488 | + | 0.279463i | ||||
\(923\) | −4.98434 | − | 0.356487i | −0.164061 | − | 0.0117339i | ||||
\(924\) | 3.17406 | + | 67.3715i | 0.104419 | + | 2.21636i | ||||
\(925\) | −28.7578 | − | 20.4765i | −0.945551 | − | 0.673265i | ||||
\(926\) | −59.8888 | + | 30.8748i | −1.96807 | + | 1.01461i | ||||
\(927\) | 26.2291 | − | 31.7670i | 0.861476 | − | 1.04337i | ||||
\(928\) | 18.4405 | − | 12.4809i | 0.605340 | − | 0.409706i | ||||
\(929\) | −5.56433 | + | 7.07562i | −0.182560 | + | 0.232144i | −0.868716 | − | 0.495311i | \(-0.835054\pi\) |
0.686156 | + | 0.727454i | \(0.259297\pi\) | |||||||
\(930\) | 66.8962 | − | 31.5196i | 2.19361 | − | 1.03357i | ||||
\(931\) | 6.77863 | − | 22.9971i | 0.222161 | − | 0.753698i | ||||
\(932\) | 16.1749 | + | 29.6220i | 0.529825 | + | 0.970302i | ||||
\(933\) | 12.9008 | − | 10.6518i | 0.422354 | − | 0.348725i | ||||
\(934\) | 30.7785 | − | 12.3219i | 1.00710 | − | 0.403183i | ||||
\(935\) | 29.4569 | − | 20.4532i | 0.963343 | − | 0.668891i | ||||
\(936\) | −27.7678 | − | 38.9944i | −0.907618 | − | 1.27457i | ||||
\(937\) | 5.54342 | − | 1.20590i | 0.181096 | − | 0.0393949i | −0.121103 | − | 0.992640i | \(-0.538643\pi\) |
0.302198 | + | 0.953245i | \(0.402279\pi\) | |||||||
\(938\) | 28.6396 | + | 66.9764i | 0.935116 | + | 2.18686i | ||||
\(939\) | −33.6582 | + | 21.6308i | −1.09839 | + | 0.705895i | ||||
\(940\) | 5.20787 | + | 3.43499i | 0.169862 | + | 0.112037i | ||||
\(941\) | 8.39693 | − | 8.80644i | 0.273732 | − | 0.287082i | −0.572491 | − | 0.819911i | \(-0.694023\pi\) |
0.846223 | + | 0.532829i | \(0.178871\pi\) | |||||||
\(942\) | −11.3441 | − | 3.03964i | −0.369610 | − | 0.0990368i | ||||
\(943\) | −3.02750 | − | 1.26492i | −0.0985889 | − | 0.0411916i | ||||
\(944\) | − | 14.0265i | − | 0.456523i | ||||||
\(945\) | −70.8931 | − | 66.0702i | −2.30615 | − | 2.14926i | ||||
\(946\) | 15.5929 | + | 17.9952i | 0.506969 | + | 0.585074i | ||||
\(947\) | 15.5980 | − | 17.1584i | 0.506867 | − | 0.557573i | −0.431990 | − | 0.901878i | \(-0.642189\pi\) |
0.938858 | + | 0.344305i | \(0.111886\pi\) | |||||||
\(948\) | 18.3518 | + | 2.19423i | 0.596039 | + | 0.0712652i | ||||
\(949\) | −14.4193 | − | 0.686874i | −0.468069 | − | 0.0222969i | ||||
\(950\) | −5.28635 | + | 36.7782i | −0.171512 | + | 1.19324i | ||||
\(951\) | 5.76850 | − | 6.65720i | 0.187056 | − | 0.215875i | ||||
\(952\) | −13.7092 | − | 18.3332i | −0.444316 | − | 0.594183i | ||||
\(953\) | 7.06367 | − | 18.9384i | 0.228815 | − | 0.613476i | −0.770910 | − | 0.636944i | \(-0.780198\pi\) |
0.999725 | + | 0.0234680i | \(0.00747079\pi\) | |||||||
\(954\) | 80.7381 | − | 76.9836i | 2.61399 | − | 2.49244i | ||||
\(955\) | 12.9926 | + | 50.9003i | 0.420432 | + | 1.64709i | ||||
\(956\) | 39.9862 | − | 56.1528i | 1.29325 | − | 1.81611i | ||||
\(957\) | −27.4175 | + | 3.27816i | −0.886282 | + | 0.105968i | ||||
\(958\) | 35.6481 | − | 2.54960i | 1.15174 | − | 0.0823739i | ||||
\(959\) | −25.4791 | + | 55.7145i | −0.822764 | + | 1.79912i | ||||
\(960\) | 88.7296 | − | 20.4127i | 2.86374 | − | 0.658816i | ||||
\(961\) | −9.08168 | − | 3.63576i | −0.292958 | − | 0.117283i | ||||
\(962\) | −57.2377 | + | 18.2969i | −1.84542 | + | 0.589916i | ||||
\(963\) | 10.2432 | − | 4.97584i | 0.330083 | − | 0.160344i | ||||
\(964\) | −0.823883 | + | 3.39609i | −0.0265355 | + | 0.109381i | ||||
\(965\) | −22.1359 | − | 21.6143i | −0.712579 | − | 0.695789i | ||||
\(966\) | −26.3914 | − | 87.1933i | −0.849128 | − | 2.80540i | ||||
\(967\) | −2.45761 | − | 2.45761i | −0.0790313 | − | 0.0790313i | 0.666486 | − | 0.745517i | \(-0.267798\pi\) |
−0.745517 | + | 0.666486i | \(0.767798\pi\) | |||||||
\(968\) | −2.32030 | − | 3.80669i | −0.0745772 | − | 0.122352i | ||||
\(969\) | −60.3698 | − | 20.8942i | −1.93936 | − | 0.671218i | ||||
\(970\) | 9.46871 | − | 18.9171i | 0.304022 | − | 0.607390i | ||||
\(971\) | −12.8480 | + | 32.0928i | −0.412313 | + | 1.02991i | 0.566300 | + | 0.824199i | \(0.308374\pi\) |
−0.978613 | + | 0.205709i | \(0.934050\pi\) | |||||||
\(972\) | −29.5259 | − | 135.729i | −0.947045 | − | 4.35350i | ||||
\(973\) | −10.6492 | − | 1.79647i | −0.341399 | − | 0.0575923i | ||||
\(974\) | 4.64418 | + | 4.02421i | 0.148809 | + | 0.128944i | ||||
\(975\) | 38.8916 | − | 51.9576i | 1.24553 | − | 1.66398i | ||||
\(976\) | −14.6805 | − | 10.4540i | −0.469912 | − | 0.334623i | ||||
\(977\) | −33.4492 | − | 20.3883i | −1.07013 | − | 0.652280i | −0.129457 | − | 0.991585i | \(-0.541323\pi\) |
−0.940677 | + | 0.339305i | \(0.889808\pi\) | |||||||
\(978\) | 2.09728 | − | 88.1047i | 0.0670637 | − | 2.81728i | ||||
\(979\) | 13.0781 | − | 5.97256i | 0.417977 | − | 0.190884i | ||||
\(980\) | 16.1777 | + | 39.1698i | 0.516779 | + | 1.25123i | ||||
\(981\) | 39.1113 | + | 33.8901i | 1.24873 | + | 1.08203i | ||||
\(982\) | 8.26397 | − | 49.1440i | 0.263714 | − | 1.56825i | ||||
\(983\) | −3.51000 | + | 3.19080i | −0.111952 | + | 0.101771i | −0.726709 | − | 0.686946i | \(-0.758951\pi\) |
0.614757 | + | 0.788716i | \(0.289254\pi\) | |||||||
\(984\) | 2.14829 | + | 2.73177i | 0.0684849 | + | 0.0870856i | ||||
\(985\) | −36.0788 | − | 32.0206i | −1.14956 | − | 1.02026i | ||||
\(986\) | 27.1054 | − | 23.4870i | 0.863213 | − | 0.747979i | ||||
\(987\) | 7.70605 | − | 4.69157i | 0.245286 | − | 0.149334i | ||||
\(988\) | 25.7213 | + | 25.7213i | 0.818304 | + | 0.818304i | ||||
\(989\) | −15.1619 | − | 10.5962i | −0.482121 | − | 0.336939i | ||||
\(990\) | −106.336 | − | 27.1384i | −3.37959 | − | 0.862514i | ||||
\(991\) | −41.5260 | − | 39.5950i | −1.31912 | − | 1.25778i | −0.943651 | − | 0.330941i | \(-0.892634\pi\) |
−0.375467 | − | 0.926836i | \(-0.622518\pi\) | |||||||
\(992\) | 28.9634 | + | 19.6030i | 0.919590 | + | 0.622397i | ||||
\(993\) | 15.1956 | − | 69.8530i | 0.482218 | − | 2.21672i | ||||
\(994\) | 4.51750 | + | 5.75065i | 0.143287 | + | 0.182399i | ||||
\(995\) | −26.8313 | + | 42.8654i | −0.850611 | + | 1.35892i | ||||
\(996\) | 82.5787 | − | 58.8040i | 2.61661 | − | 1.86328i | ||||
\(997\) | 31.9551 | + | 47.2136i | 1.01203 | + | 1.49527i | 0.862207 | + | 0.506556i | \(0.169082\pi\) |
0.149820 | + | 0.988713i | \(0.452131\pi\) | |||||||
\(998\) | 29.9316 | − | 69.8968i | 0.947467 | − | 2.21255i | ||||
\(999\) | −115.132 | − | 10.9937i | −3.64261 | − | 0.347827i |
(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 | 805.2.bs.a.37.16 | ✓ | 3680 | |
5.3 | odd | 4 | inner | 805.2.bs.a.198.77 | yes | 3680 | |
7.4 | even | 3 | inner | 805.2.bs.a.382.16 | yes | 3680 | |
23.5 | odd | 22 | inner | 805.2.bs.a.212.16 | yes | 3680 | |
35.18 | odd | 12 | inner | 805.2.bs.a.543.16 | yes | 3680 | |
115.28 | even | 44 | inner | 805.2.bs.a.373.16 | yes | 3680 | |
161.74 | odd | 66 | inner | 805.2.bs.a.557.77 | yes | 3680 | |
805.718 | even | 132 | inner | 805.2.bs.a.718.16 | yes | 3680 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
805.2.bs.a.37.16 | ✓ | 3680 | 1.1 | even | 1 | trivial | |
805.2.bs.a.198.77 | yes | 3680 | 5.3 | odd | 4 | inner | |
805.2.bs.a.212.16 | yes | 3680 | 23.5 | odd | 22 | inner | |
805.2.bs.a.373.16 | yes | 3680 | 115.28 | even | 44 | inner | |
805.2.bs.a.382.16 | yes | 3680 | 7.4 | even | 3 | inner | |
805.2.bs.a.543.16 | yes | 3680 | 35.18 | odd | 12 | inner | |
805.2.bs.a.557.77 | yes | 3680 | 161.74 | odd | 66 | inner | |
805.2.bs.a.718.16 | yes | 3680 | 805.718 | even | 132 | inner |