Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(125,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.125");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.s (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 125.15 | ||
Character | \(\chi\) | \(=\) | 462.125 |
Dual form | 462.2.s.a.377.15 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.587785 | + | 0.809017i | −0.415627 | + | 0.572061i | ||||
\(3\) | 1.70765 | − | 0.289739i | 0.985909 | − | 0.167281i | ||||
\(4\) | −0.309017 | − | 0.951057i | −0.154508 | − | 0.475528i | ||||
\(5\) | −0.820027 | + | 0.595785i | −0.366727 | + | 0.266443i | −0.755853 | − | 0.654742i | \(-0.772777\pi\) |
0.389125 | + | 0.921185i | \(0.372777\pi\) | |||||||
\(6\) | −0.769325 | + | 1.55182i | −0.314076 | + | 0.633527i | ||||
\(7\) | −0.540692 | − | 2.58991i | −0.204362 | − | 0.978895i | ||||
\(8\) | 0.951057 | + | 0.309017i | 0.336249 | + | 0.109254i | ||||
\(9\) | 2.83210 | − | 0.989542i | 0.944034 | − | 0.329847i | ||||
\(10\) | − | 1.01361i | − | 0.320531i | ||||||
\(11\) | 0.0474828 | + | 3.31628i | 0.0143166 | + | 0.999898i | ||||
\(12\) | −0.803249 | − | 1.53453i | −0.231878 | − | 0.442981i | ||||
\(13\) | 2.98650 | − | 4.11057i | 0.828307 | − | 1.14007i | −0.159929 | − | 0.987128i | \(-0.551127\pi\) |
0.988236 | − | 0.152938i | \(-0.0488734\pi\) | |||||||
\(14\) | 2.41309 | + | 1.08488i | 0.644927 | + | 0.289947i | ||||
\(15\) | −1.22769 | + | 1.25498i | −0.316989 | + | 0.324035i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | 1.55268 | − | 1.12809i | 0.376581 | − | 0.273602i | −0.383354 | − | 0.923602i | \(-0.625231\pi\) |
0.759934 | + | 0.650000i | \(0.225231\pi\) | |||||||
\(18\) | −0.864112 | + | 2.87286i | −0.203673 | + | 0.677139i | ||||
\(19\) | 7.85640 | + | 2.55270i | 1.80238 | + | 0.585629i | 0.999938 | − | 0.0111001i | \(-0.00353335\pi\) |
0.802443 | + | 0.596729i | \(0.203533\pi\) | |||||||
\(20\) | 0.820027 | + | 0.595785i | 0.183364 | + | 0.133221i | ||||
\(21\) | −1.67371 | − | 4.26599i | −0.365233 | − | 0.930916i | ||||
\(22\) | −2.71084 | − | 1.91085i | −0.577953 | − | 0.407394i | ||||
\(23\) | − | 5.21231i | − | 1.08684i | −0.839461 | − | 0.543421i | \(-0.817129\pi\) | ||
0.839461 | − | 0.543421i | \(-0.182871\pi\) | |||||||
\(24\) | 1.71360 | + | 0.252133i | 0.349787 | + | 0.0514665i | ||||
\(25\) | −1.22760 | + | 3.77816i | −0.245520 | + | 0.755633i | ||||
\(26\) | 1.57010 | + | 4.83226i | 0.307921 | + | 0.947685i | ||||
\(27\) | 4.54952 | − | 2.51036i | 0.875555 | − | 0.483118i | ||||
\(28\) | −2.29607 | + | 1.31456i | −0.433917 | + | 0.248428i | ||||
\(29\) | 0.520932 | − | 0.169261i | 0.0967347 | − | 0.0314310i | −0.260250 | − | 0.965541i | \(-0.583805\pi\) |
0.356984 | + | 0.934110i | \(0.383805\pi\) | |||||||
\(30\) | −0.293682 | − | 1.73088i | −0.0536187 | − | 0.316015i | ||||
\(31\) | −2.14878 | + | 2.95754i | −0.385931 | + | 0.531189i | −0.957144 | − | 0.289613i | \(-0.906473\pi\) |
0.571212 | + | 0.820802i | \(0.306473\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 1.04194 | + | 5.64928i | 0.181378 | + | 0.983413i | ||||
\(34\) | 1.91922i | 0.329144i | ||||||||
\(35\) | 1.98641 | + | 1.80166i | 0.335765 | + | 0.304537i | ||||
\(36\) | −1.81628 | − | 2.38770i | −0.302713 | − | 0.397951i | ||||
\(37\) | −1.56326 | − | 4.81122i | −0.256998 | − | 0.790959i | −0.993429 | − | 0.114447i | \(-0.963491\pi\) |
0.736431 | − | 0.676512i | \(-0.236509\pi\) | |||||||
\(38\) | −6.68305 | + | 4.85552i | −1.08413 | + | 0.787669i | ||||
\(39\) | 3.90889 | − | 7.88470i | 0.625924 | − | 1.26256i | ||||
\(40\) | −0.964000 | + | 0.313222i | −0.152422 | + | 0.0495248i | ||||
\(41\) | 1.10320 | − | 3.39530i | 0.172291 | − | 0.530256i | −0.827209 | − | 0.561895i | \(-0.810073\pi\) |
0.999499 | + | 0.0316386i | \(0.0100726\pi\) | |||||||
\(42\) | 4.43504 | + | 1.15343i | 0.684342 | + | 0.177978i | ||||
\(43\) | −7.12586 | −1.08668 | −0.543341 | − | 0.839512i | \(-0.682841\pi\) | ||||
−0.543341 | + | 0.839512i | \(0.682841\pi\) | |||||||
\(44\) | 3.13930 | − | 1.06995i | 0.473267 | − | 0.161301i | ||||
\(45\) | −1.73285 | + | 2.49877i | −0.258318 | + | 0.372495i | ||||
\(46\) | 4.21685 | + | 3.06372i | 0.621740 | + | 0.451721i | ||||
\(47\) | 2.60985 | − | 8.03230i | 0.380686 | − | 1.17163i | −0.558876 | − | 0.829252i | \(-0.688767\pi\) |
0.939562 | − | 0.342380i | \(-0.111233\pi\) | |||||||
\(48\) | −1.21121 | + | 1.23813i | −0.174823 | + | 0.178709i | ||||
\(49\) | −6.41530 | + | 2.80069i | −0.916472 | + | 0.400099i | ||||
\(50\) | −2.33503 | − | 3.21390i | −0.330224 | − | 0.454514i | ||||
\(51\) | 2.32458 | − | 2.37625i | 0.325506 | − | 0.332741i | ||||
\(52\) | −4.83226 | − | 1.57010i | −0.670114 | − | 0.217733i | ||||
\(53\) | −8.30483 | + | 11.4306i | −1.14076 | + | 1.57012i | −0.374949 | + | 0.927045i | \(0.622340\pi\) |
−0.765807 | + | 0.643070i | \(0.777660\pi\) | |||||||
\(54\) | −0.643219 | + | 5.15619i | −0.0875310 | + | 0.701668i | ||||
\(55\) | −2.01473 | − | 2.69115i | −0.271666 | − | 0.362875i | ||||
\(56\) | 0.286099 | − | 2.63024i | 0.0382316 | − | 0.351480i | ||||
\(57\) | 14.1556 | + | 2.08280i | 1.87495 | + | 0.275874i | ||||
\(58\) | −0.169261 | + | 0.520932i | −0.0222251 | + | 0.0684018i | ||||
\(59\) | 2.84960 | + | 8.77015i | 0.370986 | + | 1.14178i | 0.946147 | + | 0.323737i | \(0.104939\pi\) |
−0.575162 | + | 0.818040i | \(0.695061\pi\) | |||||||
\(60\) | 1.57294 | + | 0.779795i | 0.203065 | + | 0.100671i | ||||
\(61\) | 5.06513 | + | 6.97155i | 0.648523 | + | 0.892616i | 0.999034 | − | 0.0439430i | \(-0.0139920\pi\) |
−0.350511 | + | 0.936559i | \(0.613992\pi\) | |||||||
\(62\) | −1.12968 | − | 3.47679i | −0.143469 | − | 0.441553i | ||||
\(63\) | −4.09412 | − | 6.79986i | −0.515811 | − | 0.856702i | ||||
\(64\) | 0.809017 | + | 0.587785i | 0.101127 | + | 0.0734732i | ||||
\(65\) | 5.15009i | 0.638790i | ||||||||
\(66\) | −5.18280 | − | 2.47762i | −0.637959 | − | 0.304973i | ||||
\(67\) | −6.40079 | −0.781980 | −0.390990 | − | 0.920395i | \(-0.627867\pi\) | ||||
−0.390990 | + | 0.920395i | \(0.627867\pi\) | |||||||
\(68\) | −1.55268 | − | 1.12809i | −0.188290 | − | 0.136801i | ||||
\(69\) | −1.51021 | − | 8.90077i | −0.181808 | − | 1.07153i | ||||
\(70\) | −2.62516 | + | 0.548050i | −0.313767 | + | 0.0655045i | ||||
\(71\) | 5.17867 | + | 7.12783i | 0.614595 | + | 0.845918i | 0.996946 | − | 0.0780994i | \(-0.0248852\pi\) |
−0.382350 | + | 0.924018i | \(0.624885\pi\) | |||||||
\(72\) | 2.99928 | − | 0.0659423i | 0.353468 | − | 0.00777138i | ||||
\(73\) | −2.49755 | + | 0.811503i | −0.292316 | + | 0.0949792i | −0.451504 | − | 0.892269i | \(-0.649112\pi\) |
0.159188 | + | 0.987248i | \(0.449112\pi\) | |||||||
\(74\) | 4.81122 | + | 1.56326i | 0.559292 | + | 0.181725i | ||||
\(75\) | −1.00162 | + | 6.80745i | −0.115658 | + | 0.786056i | ||||
\(76\) | − | 8.26070i | − | 0.947568i | ||||||
\(77\) | 8.56322 | − | 1.91606i | 0.975869 | − | 0.218356i | ||||
\(78\) | 4.08126 | + | 7.79687i | 0.462112 | + | 0.882822i | ||||
\(79\) | −2.10051 | − | 1.52611i | −0.236326 | − | 0.171701i | 0.463319 | − | 0.886192i | \(-0.346658\pi\) |
−0.699645 | + | 0.714491i | \(0.746658\pi\) | |||||||
\(80\) | 0.313222 | − | 0.964000i | 0.0350193 | − | 0.107778i | ||||
\(81\) | 7.04161 | − | 5.60497i | 0.782402 | − | 0.622774i | ||||
\(82\) | 2.09841 | + | 2.88821i | 0.231730 | + | 0.318950i | ||||
\(83\) | 10.3171 | − | 7.49579i | 1.13245 | − | 0.822770i | 0.146396 | − | 0.989226i | \(-0.453232\pi\) |
0.986049 | + | 0.166456i | \(0.0532325\pi\) | |||||||
\(84\) | −3.54000 | + | 2.91006i | −0.386245 | + | 0.317513i | ||||
\(85\) | −0.601143 | + | 1.85013i | −0.0652031 | + | 0.200675i | ||||
\(86\) | 4.18847 | − | 5.76494i | 0.451655 | − | 0.621649i | ||||
\(87\) | 0.840526 | − | 0.439972i | 0.0901138 | − | 0.0471700i | ||||
\(88\) | −0.979630 | + | 3.16865i | −0.104429 | + | 0.337779i | ||||
\(89\) | −15.4473 | −1.63741 | −0.818704 | − | 0.574215i | \(-0.805307\pi\) | ||||
−0.818704 | + | 0.574215i | \(0.805307\pi\) | |||||||
\(90\) | −1.00301 | − | 2.87065i | −0.105726 | − | 0.302593i | ||||
\(91\) | −12.2608 | − | 5.51223i | −1.28528 | − | 0.577839i | ||||
\(92\) | −4.95720 | + | 1.61069i | −0.516824 | + | 0.167926i | ||||
\(93\) | −2.81243 | + | 5.67300i | −0.291636 | + | 0.588263i | ||||
\(94\) | 4.96423 | + | 6.83268i | 0.512022 | + | 0.704737i | ||||
\(95\) | −7.96332 | + | 2.58744i | −0.817019 | + | 0.265466i | ||||
\(96\) | −0.289739 | − | 1.70765i | −0.0295713 | − | 0.174286i | ||||
\(97\) | −6.74995 | + | 9.29051i | −0.685354 | + | 0.943308i | −0.999983 | − | 0.00590636i | \(-0.998120\pi\) |
0.314629 | + | 0.949215i | \(0.398120\pi\) | |||||||
\(98\) | 1.50502 | − | 6.83629i | 0.152030 | − | 0.690570i | ||||
\(99\) | 3.41608 | + | 9.34507i | 0.343329 | + | 0.939215i | ||||
\(100\) | 3.97260 | 0.397260 | ||||||||
\(101\) | −7.40043 | − | 5.37673i | −0.736371 | − | 0.535005i | 0.155202 | − | 0.987883i | \(-0.450397\pi\) |
−0.891572 | + | 0.452878i | \(0.850397\pi\) | |||||||
\(102\) | 0.556073 | + | 3.27735i | 0.0550594 | + | 0.324506i | ||||
\(103\) | −8.10663 | + | 2.63400i | −0.798770 | + | 0.259536i | −0.679834 | − | 0.733366i | \(-0.737948\pi\) |
−0.118936 | + | 0.992902i | \(0.537948\pi\) | |||||||
\(104\) | 4.11057 | − | 2.98650i | 0.403074 | − | 0.292851i | ||||
\(105\) | 3.91410 | + | 2.50106i | 0.381977 | + | 0.244079i | ||||
\(106\) | −4.36611 | − | 13.4375i | −0.424074 | − | 1.30516i | ||||
\(107\) | −1.69523 | − | 0.550812i | −0.163884 | − | 0.0532490i | 0.225926 | − | 0.974144i | \(-0.427459\pi\) |
−0.389810 | + | 0.920895i | \(0.627459\pi\) | |||||||
\(108\) | −3.79337 | − | 3.55111i | −0.365017 | − | 0.341705i | ||||
\(109\) | 10.1884 | 0.975876 | 0.487938 | − | 0.872878i | \(-0.337749\pi\) | ||||
0.487938 | + | 0.872878i | \(0.337749\pi\) | |||||||
\(110\) | 3.36142 | − | 0.0481290i | 0.320499 | − | 0.00458892i | ||||
\(111\) | −4.06349 | − | 7.76291i | −0.385689 | − | 0.736823i | ||||
\(112\) | 1.95974 | + | 1.77747i | 0.185178 | + | 0.167955i | ||||
\(113\) | −7.61373 | − | 2.47385i | −0.716240 | − | 0.232720i | −0.0718476 | − | 0.997416i | \(-0.522890\pi\) |
−0.644392 | + | 0.764695i | \(0.722890\pi\) | |||||||
\(114\) | −10.0054 | + | 10.2278i | −0.937096 | + | 0.957925i | ||||
\(115\) | 3.10541 | + | 4.27423i | 0.289581 | + | 0.398574i | ||||
\(116\) | −0.321954 | − | 0.443131i | −0.0298927 | − | 0.0411437i | ||||
\(117\) | 4.39050 | − | 14.5968i | 0.405902 | − | 1.34948i | ||||
\(118\) | −8.77015 | − | 2.84960i | −0.807358 | − | 0.262327i | ||||
\(119\) | −3.76118 | − | 3.41136i | −0.344787 | − | 0.312719i | ||||
\(120\) | −1.55542 | + | 0.814181i | −0.141989 | + | 0.0743242i | ||||
\(121\) | −10.9955 | + | 0.314933i | −0.999590 | + | 0.0286303i | ||||
\(122\) | −8.61731 | −0.780175 | ||||||||
\(123\) | 0.900123 | − | 6.11760i | 0.0811613 | − | 0.551606i | ||||
\(124\) | 3.47679 | + | 1.12968i | 0.312225 | + | 0.101448i | ||||
\(125\) | −2.81042 | − | 8.64958i | −0.251372 | − | 0.773642i | ||||
\(126\) | 7.90767 | + | 0.684645i | 0.704471 | + | 0.0609930i | ||||
\(127\) | 0.806567 | − | 0.586005i | 0.0715712 | − | 0.0519996i | −0.551424 | − | 0.834225i | \(-0.685915\pi\) |
0.622996 | + | 0.782225i | \(0.285915\pi\) | |||||||
\(128\) | −0.951057 | + | 0.309017i | −0.0840623 | + | 0.0273135i | ||||
\(129\) | −12.1684 | + | 2.06464i | −1.07137 | + | 0.181781i | ||||
\(130\) | −4.16651 | − | 3.02715i | −0.365427 | − | 0.265498i | ||||
\(131\) | −8.06675 | −0.704795 | −0.352398 | − | 0.935850i | \(-0.614634\pi\) | ||||
−0.352398 | + | 0.935850i | \(0.614634\pi\) | |||||||
\(132\) | 5.05081 | − | 2.73667i | 0.439616 | − | 0.238196i | ||||
\(133\) | 2.36338 | − | 21.7276i | 0.204931 | − | 1.88402i | ||||
\(134\) | 3.76229 | − | 5.17834i | 0.325012 | − | 0.447341i | ||||
\(135\) | −2.23510 | + | 4.76909i | −0.192366 | + | 0.410458i | ||||
\(136\) | 1.82529 | − | 0.593072i | 0.156517 | − | 0.0508555i | ||||
\(137\) | −10.2262 | − | 14.0751i | −0.873679 | − | 1.20252i | −0.978132 | − | 0.207986i | \(-0.933309\pi\) |
0.104453 | − | 0.994530i | \(-0.466691\pi\) | |||||||
\(138\) | 8.08855 | + | 4.00996i | 0.688543 | + | 0.341350i | ||||
\(139\) | 0.461104 | − | 0.149822i | 0.0391103 | − | 0.0127077i | −0.289396 | − | 0.957209i | \(-0.593455\pi\) |
0.328507 | + | 0.944502i | \(0.393455\pi\) | |||||||
\(140\) | 1.09965 | − | 2.44594i | 0.0929373 | − | 0.206719i | ||||
\(141\) | 2.12943 | − | 14.4725i | 0.179331 | − | 1.21880i | ||||
\(142\) | −8.81049 | −0.739360 | ||||||||
\(143\) | 13.7736 | + | 9.70891i | 1.15181 | + | 0.811900i | ||||
\(144\) | −1.70958 | + | 2.46522i | −0.142465 | + | 0.205435i | ||||
\(145\) | −0.326335 | + | 0.449162i | −0.0271007 | + | 0.0373009i | ||||
\(146\) | 0.811503 | − | 2.49755i | 0.0671604 | − | 0.206699i | ||||
\(147\) | −10.1436 | + | 6.64135i | −0.836630 | + | 0.547769i | ||||
\(148\) | −4.09266 | + | 2.97349i | −0.336415 | + | 0.244420i | ||||
\(149\) | −3.35397 | − | 4.61635i | −0.274768 | − | 0.378186i | 0.649224 | − | 0.760597i | \(-0.275094\pi\) |
−0.923992 | + | 0.382411i | \(0.875094\pi\) | |||||||
\(150\) | −4.91860 | − | 4.81165i | −0.401602 | − | 0.392869i | ||||
\(151\) | −1.86872 | + | 5.75134i | −0.152075 | + | 0.468037i | −0.997853 | − | 0.0654974i | \(-0.979137\pi\) |
0.845778 | + | 0.533535i | \(0.179137\pi\) | |||||||
\(152\) | 6.68305 | + | 4.85552i | 0.542067 | + | 0.393835i | ||||
\(153\) | 3.28106 | − | 4.73131i | 0.265258 | − | 0.382504i | ||||
\(154\) | −3.48320 | + | 8.05402i | −0.280685 | + | 0.649012i | ||||
\(155\) | − | 3.70547i | − | 0.297630i | ||||||
\(156\) | −8.70671 | − | 1.28107i | −0.697094 | − | 0.102568i | ||||
\(157\) | 5.65240 | + | 1.83658i | 0.451111 | + | 0.146575i | 0.525756 | − | 0.850635i | \(-0.323782\pi\) |
−0.0746453 | + | 0.997210i | \(0.523782\pi\) | |||||||
\(158\) | 2.46930 | − | 0.802325i | 0.196447 | − | 0.0638295i | ||||
\(159\) | −10.8698 | + | 21.9257i | −0.862032 | + | 1.73882i | ||||
\(160\) | 0.595785 | + | 0.820027i | 0.0471009 | + | 0.0648288i | ||||
\(161\) | −13.4994 | + | 2.81825i | −1.06390 | + | 0.222109i | ||||
\(162\) | 0.395558 | + | 8.99130i | 0.0310780 | + | 0.706423i | ||||
\(163\) | 13.8289 | + | 10.0473i | 1.08316 | + | 0.786964i | 0.978232 | − | 0.207516i | \(-0.0665379\pi\) |
0.104931 | + | 0.994480i | \(0.466538\pi\) | |||||||
\(164\) | −3.57003 | −0.278772 | ||||||||
\(165\) | −4.22017 | − | 4.01179i | −0.328540 | − | 0.312317i | ||||
\(166\) | 12.7526i | 0.989793i | ||||||||
\(167\) | 7.95802 | + | 5.78184i | 0.615810 | + | 0.447412i | 0.851455 | − | 0.524427i | \(-0.175720\pi\) |
−0.235645 | + | 0.971839i | \(0.575720\pi\) | |||||||
\(168\) | −0.273526 | − | 4.57441i | −0.0211030 | − | 0.352923i | ||||
\(169\) | −3.96035 | − | 12.1887i | −0.304642 | − | 0.937592i | ||||
\(170\) | −1.14344 | − | 1.57381i | −0.0876980 | − | 0.120706i | ||||
\(171\) | 24.7761 | − | 0.544730i | 1.89468 | − | 0.0416565i | ||||
\(172\) | 2.20201 | + | 6.77709i | 0.167902 | + | 0.516748i | ||||
\(173\) | −6.64471 | + | 20.4503i | −0.505188 | + | 1.55481i | 0.295267 | + | 0.955415i | \(0.404591\pi\) |
−0.800455 | + | 0.599393i | \(0.795409\pi\) | |||||||
\(174\) | −0.138104 | + | 0.938609i | −0.0104696 | + | 0.0711558i | ||||
\(175\) | 10.4489 | + | 1.13656i | 0.789860 | + | 0.0859155i | ||||
\(176\) | −1.98768 | − | 2.65502i | −0.149827 | − | 0.200130i | ||||
\(177\) | 7.40715 | + | 14.1507i | 0.556755 | + | 1.06363i | ||||
\(178\) | 9.07969 | − | 12.4971i | 0.680551 | − | 0.936698i | ||||
\(179\) | 16.9761 | + | 5.51588i | 1.26886 | + | 0.412276i | 0.864642 | − | 0.502389i | \(-0.167545\pi\) |
0.404213 | + | 0.914665i | \(0.367545\pi\) | |||||||
\(180\) | 2.91196 | + | 0.875872i | 0.217044 | + | 0.0652837i | ||||
\(181\) | −4.72552 | − | 6.50411i | −0.351245 | − | 0.483447i | 0.596439 | − | 0.802659i | \(-0.296582\pi\) |
−0.947683 | + | 0.319212i | \(0.896582\pi\) | |||||||
\(182\) | 11.6662 | − | 6.67918i | 0.864756 | − | 0.495094i | ||||
\(183\) | 10.6694 | + | 10.4374i | 0.788703 | + | 0.771553i | ||||
\(184\) | 1.61069 | − | 4.95720i | 0.118742 | − | 0.365450i | ||||
\(185\) | 4.14836 | + | 3.01396i | 0.304994 | + | 0.221591i | ||||
\(186\) | −2.93645 | − | 5.60981i | −0.215311 | − | 0.411332i | ||||
\(187\) | 3.81479 | + | 5.09557i | 0.278965 | + | 0.372625i | ||||
\(188\) | −8.44566 | −0.615963 | ||||||||
\(189\) | −8.96149 | − | 10.4255i | −0.651853 | − | 0.758346i | ||||
\(190\) | 2.58744 | − | 7.96332i | 0.187713 | − | 0.577720i | ||||
\(191\) | 9.23017 | − | 2.99906i | 0.667872 | − | 0.217005i | 0.0445940 | − | 0.999005i | \(-0.485801\pi\) |
0.623278 | + | 0.782000i | \(0.285801\pi\) | |||||||
\(192\) | 1.55182 | + | 0.769325i | 0.111993 | + | 0.0555212i | ||||
\(193\) | 2.82361 | − | 2.05147i | 0.203248 | − | 0.147668i | −0.481505 | − | 0.876443i | \(-0.659910\pi\) |
0.684754 | + | 0.728775i | \(0.259910\pi\) | |||||||
\(194\) | −3.54866 | − | 10.9216i | −0.254779 | − | 0.784129i | ||||
\(195\) | 1.49218 | + | 8.79452i | 0.106857 | + | 0.629789i | ||||
\(196\) | 4.64605 | + | 5.23586i | 0.331861 | + | 0.373990i | ||||
\(197\) | 9.98859i | 0.711658i | 0.934551 | + | 0.355829i | \(0.115801\pi\) | ||||
−0.934551 | + | 0.355829i | \(0.884199\pi\) | |||||||
\(198\) | −9.56824 | − | 2.72923i | −0.679986 | − | 0.193958i | ||||
\(199\) | 8.94584i | 0.634154i | 0.948400 | + | 0.317077i | \(0.102701\pi\) | ||||
−0.948400 | + | 0.317077i | \(0.897299\pi\) | |||||||
\(200\) | −2.33503 | + | 3.21390i | −0.165112 | + | 0.227257i | ||||
\(201\) | −10.9303 | + | 1.85456i | −0.770962 | + | 0.130810i | ||||
\(202\) | 8.69973 | − | 2.82671i | 0.612111 | − | 0.198887i | ||||
\(203\) | −0.720036 | − | 1.25765i | −0.0505366 | − | 0.0882698i | ||||
\(204\) | −2.97828 | − | 1.47650i | −0.208521 | − | 0.103376i | ||||
\(205\) | 1.11821 | + | 3.44150i | 0.0780994 | + | 0.240365i | ||||
\(206\) | 2.63400 | − | 8.10663i | 0.183520 | − | 0.564816i | ||||
\(207\) | −5.15780 | − | 14.7618i | −0.358492 | − | 1.02602i | ||||
\(208\) | 5.08094i | 0.352300i | ||||||||
\(209\) | −8.09243 | + | 26.1753i | −0.559765 | + | 1.81058i | ||||
\(210\) | −4.32405 | + | 1.69649i | −0.298388 | + | 0.117069i | ||||
\(211\) | −7.99046 | − | 5.80541i | −0.550086 | − | 0.399661i | 0.277731 | − | 0.960659i | \(-0.410417\pi\) |
−0.827817 | + | 0.560998i | \(0.810417\pi\) | |||||||
\(212\) | 13.4375 | + | 4.36611i | 0.922891 | + | 0.299865i | ||||
\(213\) | 10.9085 | + | 10.6713i | 0.747441 | + | 0.731189i | ||||
\(214\) | 1.44204 | − | 1.04771i | 0.0985761 | − | 0.0716198i | ||||
\(215\) | 5.84339 | − | 4.24547i | 0.398516 | − | 0.289539i | ||||
\(216\) | 5.10259 | − | 0.981612i | 0.347187 | − | 0.0667903i | ||||
\(217\) | 8.82159 | + | 3.96603i | 0.598848 | + | 0.269231i | ||||
\(218\) | −5.98861 | + | 8.24262i | −0.405600 | + | 0.558261i | ||||
\(219\) | −4.02980 | + | 2.10940i | −0.272309 | + | 0.142540i | ||||
\(220\) | −1.93685 | + | 2.74773i | −0.130583 | + | 0.185252i | ||||
\(221\) | − | 9.75145i | − | 0.655953i | ||||||
\(222\) | 8.66878 | + | 1.27550i | 0.581811 | + | 0.0856056i | ||||
\(223\) | 1.49979 | + | 0.487311i | 0.100433 | + | 0.0326327i | 0.358803 | − | 0.933413i | \(-0.383185\pi\) |
−0.258369 | + | 0.966046i | \(0.583185\pi\) | |||||||
\(224\) | −2.58991 | + | 0.540692i | −0.173046 | + | 0.0361265i | ||||
\(225\) | 0.261962 | + | 11.9149i | 0.0174641 | + | 0.794327i | ||||
\(226\) | 6.47663 | − | 4.70555i | 0.430819 | − | 0.313008i | ||||
\(227\) | −0.469709 | − | 1.44562i | −0.0311757 | − | 0.0959489i | 0.934258 | − | 0.356598i | \(-0.116063\pi\) |
−0.965434 | + | 0.260649i | \(0.916063\pi\) | |||||||
\(228\) | −2.39345 | − | 14.1064i | −0.158510 | − | 0.934216i | ||||
\(229\) | −6.47472 | + | 8.91168i | −0.427861 | + | 0.588901i | −0.967461 | − | 0.253021i | \(-0.918576\pi\) |
0.539599 | + | 0.841922i | \(0.318576\pi\) | |||||||
\(230\) | −5.28324 | −0.348367 | ||||||||
\(231\) | 14.0678 | − | 5.75305i | 0.925592 | − | 0.378523i | ||||
\(232\) | 0.547741 | 0.0359609 | ||||||||
\(233\) | −5.60505 | + | 7.71469i | −0.367199 | + | 0.505406i | −0.952137 | − | 0.305672i | \(-0.901119\pi\) |
0.584938 | + | 0.811078i | \(0.301119\pi\) | |||||||
\(234\) | 9.22840 | + | 12.1318i | 0.603280 | + | 0.793080i | ||||
\(235\) | 2.64537 | + | 8.14161i | 0.172565 | + | 0.531100i | ||||
\(236\) | 7.46034 | − | 5.42025i | 0.485627 | − | 0.352828i | ||||
\(237\) | −4.02910 | − | 1.99746i | −0.261718 | − | 0.129749i | ||||
\(238\) | 4.97062 | − | 1.03771i | 0.322197 | − | 0.0672645i | ||||
\(239\) | −2.65620 | − | 0.863052i | −0.171815 | − | 0.0558262i | 0.221846 | − | 0.975082i | \(-0.428792\pi\) |
−0.393661 | + | 0.919256i | \(0.628792\pi\) | |||||||
\(240\) | 0.255565 | − | 1.73692i | 0.0164966 | − | 0.112118i | ||||
\(241\) | − | 21.5649i | − | 1.38912i | −0.719437 | − | 0.694558i | \(-0.755600\pi\) | ||
0.719437 | − | 0.694558i | \(-0.244400\pi\) | |||||||
\(242\) | 6.20820 | − | 9.08065i | 0.399078 | − | 0.583726i | ||||
\(243\) | 10.4006 | − | 11.6115i | 0.667199 | − | 0.744880i | ||||
\(244\) | 5.06513 | − | 6.97155i | 0.324262 | − | 0.446308i | ||||
\(245\) | 3.59212 | − | 6.11878i | 0.229492 | − | 0.390915i | ||||
\(246\) | 4.42016 | + | 4.32405i | 0.281819 | + | 0.275691i | ||||
\(247\) | 33.9562 | − | 24.6706i | 2.16058 | − | 1.56975i | ||||
\(248\) | −2.95754 | + | 2.14878i | −0.187804 | + | 0.136447i | ||||
\(249\) | 15.4461 | − | 15.7894i | 0.978855 | − | 1.00061i | ||||
\(250\) | 8.64958 | + | 2.81042i | 0.547047 | + | 0.177747i | ||||
\(251\) | 18.9003 | + | 13.7319i | 1.19298 | + | 0.866748i | 0.993576 | − | 0.113170i | \(-0.0361003\pi\) |
0.199401 | + | 0.979918i | \(0.436100\pi\) | |||||||
\(252\) | −5.20190 | + | 5.99502i | −0.327689 | + | 0.377651i | ||||
\(253\) | 17.2855 | − | 0.247495i | 1.08673 | − | 0.0155599i | ||||
\(254\) | 0.996972i | 0.0625556i | ||||||||
\(255\) | −0.490485 | + | 3.33354i | −0.0307154 | + | 0.208754i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 8.10825 | + | 24.9546i | 0.505779 | + | 1.55663i | 0.799457 | + | 0.600723i | \(0.205120\pi\) |
−0.293679 | + | 0.955904i | \(0.594880\pi\) | |||||||
\(258\) | 5.48210 | − | 11.0580i | 0.341301 | − | 0.688443i | ||||
\(259\) | −11.6154 | + | 6.65009i | −0.721745 | + | 0.413216i | ||||
\(260\) | 4.89803 | − | 1.59146i | 0.303763 | − | 0.0986985i | ||||
\(261\) | 1.30784 | − | 0.994849i | 0.0809534 | − | 0.0615796i | ||||
\(262\) | 4.74152 | − | 6.52614i | 0.292932 | − | 0.403186i | ||||
\(263\) | 12.0306i | 0.741836i | 0.928666 | + | 0.370918i | \(0.120957\pi\) | ||||
−0.928666 | + | 0.370918i | \(0.879043\pi\) | |||||||
\(264\) | −0.754780 | + | 5.69476i | −0.0464535 | + | 0.350488i | ||||
\(265\) | − | 14.3213i | − | 0.879751i | ||||||
\(266\) | 16.1888 | + | 14.6832i | 0.992602 | + | 0.900284i | ||||
\(267\) | −26.3785 | + | 4.47568i | −1.61434 | + | 0.273907i | ||||
\(268\) | 1.97795 | + | 6.08751i | 0.120823 | + | 0.371854i | ||||
\(269\) | −4.61604 | + | 3.35375i | −0.281445 | + | 0.204482i | −0.719547 | − | 0.694443i | \(-0.755651\pi\) |
0.438102 | + | 0.898925i | \(0.355651\pi\) | |||||||
\(270\) | −2.54452 | − | 4.61143i | −0.154855 | − | 0.280643i | ||||
\(271\) | 28.8487 | − | 9.37351i | 1.75243 | − | 0.569400i | 0.756062 | − | 0.654500i | \(-0.227121\pi\) |
0.996372 | + | 0.0850998i | \(0.0271209\pi\) | |||||||
\(272\) | −0.593072 | + | 1.82529i | −0.0359603 | + | 0.110674i | ||||
\(273\) | −22.5342 | − | 5.86051i | −1.36383 | − | 0.354694i | ||||
\(274\) | 17.3978 | 1.05104 | ||||||||
\(275\) | −12.5878 | − | 3.89167i | −0.759070 | − | 0.234677i | ||||
\(276\) | −7.99846 | + | 4.18678i | −0.481451 | + | 0.252015i | ||||
\(277\) | −16.9969 | − | 12.3489i | −1.02124 | − | 0.741976i | −0.0547053 | − | 0.998503i | \(-0.517422\pi\) |
−0.966537 | + | 0.256526i | \(0.917422\pi\) | |||||||
\(278\) | −0.149822 | + | 0.461104i | −0.00898572 | + | 0.0276552i | ||||
\(279\) | −3.15895 | + | 10.5023i | −0.189121 | + | 0.628759i | ||||
\(280\) | 1.33245 | + | 2.32732i | 0.0796289 | + | 0.139084i | ||||
\(281\) | 7.30532 | + | 10.0549i | 0.435799 | + | 0.599826i | 0.969272 | − | 0.245991i | \(-0.0791134\pi\) |
−0.533473 | + | 0.845817i | \(0.679113\pi\) | |||||||
\(282\) | 10.4568 | + | 10.2295i | 0.622696 | + | 0.609156i | ||||
\(283\) | 5.32172 | + | 1.72913i | 0.316343 | + | 0.102786i | 0.462885 | − | 0.886418i | \(-0.346814\pi\) |
−0.146542 | + | 0.989204i | \(0.546814\pi\) | |||||||
\(284\) | 5.17867 | − | 7.12783i | 0.307298 | − | 0.422959i | ||||
\(285\) | −12.8488 | + | 6.72571i | −0.761099 | + | 0.398397i | ||||
\(286\) | −15.9506 | + | 5.43634i | −0.943179 | + | 0.321457i | ||||
\(287\) | −9.39002 | − | 1.02138i | −0.554275 | − | 0.0602902i | ||||
\(288\) | −0.989542 | − | 2.83210i | −0.0583093 | − | 0.166883i | ||||
\(289\) | −4.11505 | + | 12.6648i | −0.242062 | + | 0.744990i | ||||
\(290\) | −0.171565 | − | 0.528022i | −0.0100746 | − | 0.0310065i | ||||
\(291\) | −8.83470 | + | 17.8206i | −0.517899 | + | 1.04466i | ||||
\(292\) | 1.54357 | + | 2.12454i | 0.0903306 | + | 0.124329i | ||||
\(293\) | −9.09019 | − | 27.9767i | −0.531055 | − | 1.63442i | −0.752023 | − | 0.659137i | \(-0.770922\pi\) |
0.220968 | − | 0.975281i | \(-0.429078\pi\) | |||||||
\(294\) | 0.589293 | − | 12.1100i | 0.0343682 | − | 0.706271i | ||||
\(295\) | −7.56187 | − | 5.49402i | −0.440269 | − | 0.319874i | ||||
\(296\) | − | 5.05881i | − | 0.294037i | ||||||
\(297\) | 8.54108 | + | 14.9683i | 0.495604 | + | 0.868549i | ||||
\(298\) | 5.70612 | 0.330547 | ||||||||
\(299\) | −21.4255 | − | 15.5666i | −1.23907 | − | 0.900238i | ||||
\(300\) | 6.78378 | − | 1.15102i | 0.391662 | − | 0.0664539i | ||||
\(301\) | 3.85289 | + | 18.4553i | 0.222077 | + | 1.06375i | ||||
\(302\) | −3.55452 | − | 4.89238i | −0.204540 | − | 0.281525i | ||||
\(303\) | −14.1952 | − | 7.03735i | −0.815491 | − | 0.404285i | ||||
\(304\) | −7.85640 | + | 2.55270i | −0.450595 | + | 0.146407i | ||||
\(305\) | −8.30709 | − | 2.69914i | −0.475662 | − | 0.154552i | ||||
\(306\) | 1.89915 | + | 5.43543i | 0.108567 | + | 0.310723i | ||||
\(307\) | − | 4.31632i | − | 0.246345i | −0.992385 | − | 0.123173i | \(-0.960693\pi\) | ||
0.992385 | − | 0.123173i | \(-0.0393069\pi\) | |||||||
\(308\) | −4.46847 | − | 7.55201i | −0.254614 | − | 0.430316i | ||||
\(309\) | −13.0801 | + | 6.84675i | −0.744099 | + | 0.389498i | ||||
\(310\) | 2.99779 | + | 2.17802i | 0.170263 | + | 0.123703i | ||||
\(311\) | 2.76039 | − | 8.49561i | 0.156527 | − | 0.481742i | −0.841785 | − | 0.539813i | \(-0.818495\pi\) |
0.998312 | + | 0.0580710i | \(0.0184950\pi\) | |||||||
\(312\) | 6.15408 | − | 6.29088i | 0.348406 | − | 0.356151i | ||||
\(313\) | 0.302800 | + | 0.416768i | 0.0171153 | + | 0.0235571i | 0.817489 | − | 0.575944i | \(-0.195366\pi\) |
−0.800374 | + | 0.599502i | \(0.795366\pi\) | |||||||
\(314\) | −4.80822 | + | 3.49338i | −0.271344 | + | 0.197143i | ||||
\(315\) | 7.40855 | + | 3.13686i | 0.417424 | + | 0.176742i | ||||
\(316\) | −0.802325 | + | 2.46930i | −0.0451343 | + | 0.138909i | ||||
\(317\) | 2.45186 | − | 3.37469i | 0.137710 | − | 0.189542i | −0.734592 | − | 0.678509i | \(-0.762626\pi\) |
0.872302 | + | 0.488967i | \(0.162626\pi\) | |||||||
\(318\) | −11.3491 | − | 21.6814i | −0.636427 | − | 1.21583i | ||||
\(319\) | 0.586054 | + | 1.71952i | 0.0328127 | + | 0.0962748i | ||||
\(320\) | −1.01361 | −0.0566625 | ||||||||
\(321\) | −3.05443 | − | 0.449419i | −0.170482 | − | 0.0250841i | ||||
\(322\) | 5.65475 | − | 12.5778i | 0.315127 | − | 0.700933i | ||||
\(323\) | 15.0782 | − | 4.89919i | 0.838971 | − | 0.272598i | ||||
\(324\) | −7.50662 | − | 4.96494i | −0.417034 | − | 0.275830i | ||||
\(325\) | 11.8642 | + | 16.3296i | 0.658106 | + | 0.905805i | ||||
\(326\) | −16.2568 | + | 5.28217i | −0.900383 | + | 0.292552i | ||||
\(327\) | 17.3982 | − | 2.95199i | 0.962125 | − | 0.163245i | ||||
\(328\) | 2.09841 | − | 2.88821i | 0.115865 | − | 0.159475i | ||||
\(329\) | −22.2141 | − | 2.41629i | −1.22470 | − | 0.133215i | ||||
\(330\) | 5.72616 | − | 1.05612i | 0.315215 | − | 0.0581375i | ||||
\(331\) | −6.45848 | −0.354990 | −0.177495 | − | 0.984122i | \(-0.556799\pi\) | ||||
−0.177495 | + | 0.984122i | \(0.556799\pi\) | |||||||
\(332\) | −10.3171 | − | 7.49579i | −0.566223 | − | 0.411385i | ||||
\(333\) | −9.18821 | − | 12.0789i | −0.503511 | − | 0.661922i | ||||
\(334\) | −9.35521 | + | 3.03969i | −0.511895 | + | 0.166325i | ||||
\(335\) | 5.24882 | − | 3.81349i | 0.286774 | − | 0.208353i | ||||
\(336\) | 3.86155 | + | 2.46748i | 0.210665 | + | 0.134612i | ||||
\(337\) | −8.87266 | − | 27.3072i | −0.483324 | − | 1.48752i | −0.834393 | − | 0.551170i | \(-0.814182\pi\) |
0.351069 | − | 0.936350i | \(-0.385818\pi\) | |||||||
\(338\) | 12.1887 | + | 3.96035i | 0.662978 | + | 0.215415i | ||||
\(339\) | −13.7183 | − | 2.01847i | −0.745077 | − | 0.109628i | ||||
\(340\) | 1.94534 | 0.105501 | ||||||||
\(341\) | −9.91006 | − | 6.98552i | −0.536660 | − | 0.378287i | ||||
\(342\) | −14.1223 | + | 20.3645i | −0.763649 | + | 1.10119i | ||||
\(343\) | 10.7222 | + | 15.1008i | 0.578947 | + | 0.815365i | ||||
\(344\) | −6.77709 | − | 2.20201i | −0.365396 | − | 0.118724i | ||||
\(345\) | 6.54135 | + | 6.39912i | 0.352175 | + | 0.344517i | ||||
\(346\) | −12.6390 | − | 17.3961i | −0.679476 | − | 0.935219i | ||||
\(347\) | 12.7665 | + | 17.5716i | 0.685342 | + | 0.943292i | 0.999982 | − | 0.00591868i | \(-0.00188399\pi\) |
−0.314641 | + | 0.949211i | \(0.601884\pi\) | |||||||
\(348\) | −0.678175 | − | 0.663429i | −0.0363540 | − | 0.0355635i | ||||
\(349\) | −0.0907931 | − | 0.0295005i | −0.00486004 | − | 0.00157912i | 0.306586 | − | 0.951843i | \(-0.400813\pi\) |
−0.311446 | + | 0.950264i | \(0.600813\pi\) | |||||||
\(350\) | −7.06118 | + | 7.78526i | −0.377436 | + | 0.416140i | ||||
\(351\) | 3.26816 | − | 26.1983i | 0.174441 | − | 1.39836i | ||||
\(352\) | 3.31628 | − | 0.0474828i | 0.176759 | − | 0.00253084i | ||||
\(353\) | 24.0019 | 1.27749 | 0.638747 | − | 0.769416i | \(-0.279453\pi\) | ||||
0.638747 | + | 0.769416i | \(0.279453\pi\) | |||||||
\(354\) | −15.8019 | − | 2.32504i | −0.839864 | − | 0.123575i | ||||
\(355\) | −8.49331 | − | 2.75964i | −0.450778 | − | 0.146467i | ||||
\(356\) | 4.77347 | + | 14.6912i | 0.252994 | + | 0.778634i | ||||
\(357\) | −7.41116 | − | 4.73564i | −0.392240 | − | 0.250637i | ||||
\(358\) | −14.4408 | + | 10.4918i | −0.763218 | + | 0.554510i | ||||
\(359\) | −12.8065 | + | 4.16110i | −0.675903 | + | 0.219614i | −0.626801 | − | 0.779179i | \(-0.715636\pi\) |
−0.0491025 | + | 0.998794i | \(0.515636\pi\) | |||||||
\(360\) | −2.42020 | + | 1.84100i | −0.127556 | + | 0.0970290i | ||||
\(361\) | 39.8354 | + | 28.9421i | 2.09660 | + | 1.52327i | ||||
\(362\) | 8.03953 | 0.422548 | ||||||||
\(363\) | −18.6851 | + | 3.72361i | −0.980716 | + | 0.195439i | ||||
\(364\) | −1.45365 | + | 13.3641i | −0.0761920 | + | 0.700468i | ||||
\(365\) | 1.56458 | − | 2.15346i | 0.0818937 | − | 0.112717i | ||||
\(366\) | −14.7153 | + | 2.49677i | −0.769181 | + | 0.130508i | ||||
\(367\) | −20.0916 | + | 6.52817i | −1.04878 | + | 0.340768i | −0.782188 | − | 0.623043i | \(-0.785896\pi\) |
−0.266588 | + | 0.963811i | \(0.585896\pi\) | |||||||
\(368\) | 3.06372 | + | 4.21685i | 0.159707 | + | 0.219818i | ||||
\(369\) | −0.235416 | − | 10.7075i | −0.0122553 | − | 0.557410i | ||||
\(370\) | −4.87669 | + | 1.58453i | −0.253527 | + | 0.0823760i | ||||
\(371\) | 34.0947 | + | 15.3283i | 1.77011 | + | 0.795808i | ||||
\(372\) | 6.26444 | + | 0.921728i | 0.324796 | + | 0.0477894i | ||||
\(373\) | −13.1476 | −0.680755 | −0.340377 | − | 0.940289i | \(-0.610555\pi\) | ||||
−0.340377 | + | 0.940289i | \(0.610555\pi\) | |||||||
\(374\) | −6.36468 | + | 0.0911299i | −0.329110 | + | 0.00471222i | ||||
\(375\) | −7.30532 | − | 13.9561i | −0.377245 | − | 0.720691i | ||||
\(376\) | 4.96423 | − | 6.83268i | 0.256011 | − | 0.352369i | ||||
\(377\) | 0.860006 | − | 2.64683i | 0.0442926 | − | 0.136318i | ||||
\(378\) | 13.7019 | − | 1.12203i | 0.704748 | − | 0.0577109i | ||||
\(379\) | 3.99386 | − | 2.90171i | 0.205151 | − | 0.149051i | −0.480466 | − | 0.877013i | \(-0.659533\pi\) |
0.685617 | + | 0.727963i | \(0.259533\pi\) | |||||||
\(380\) | 4.92160 | + | 6.77400i | 0.252473 | + | 0.347499i | ||||
\(381\) | 1.20754 | − | 1.23438i | 0.0618642 | − | 0.0632393i | ||||
\(382\) | −2.99906 | + | 9.23017i | −0.153445 | + | 0.472257i | ||||
\(383\) | 2.30820 | + | 1.67701i | 0.117944 | + | 0.0856912i | 0.645193 | − | 0.764019i | \(-0.276777\pi\) |
−0.527250 | + | 0.849710i | \(0.676777\pi\) | |||||||
\(384\) | −1.53453 | + | 0.803249i | −0.0783088 | + | 0.0409906i | ||||
\(385\) | −5.88051 | + | 6.67306i | −0.299699 | + | 0.340091i | ||||
\(386\) | 3.49018i | 0.177645i | ||||||||
\(387\) | −20.1812 | + | 7.05133i | −1.02587 | + | 0.358439i | ||||
\(388\) | 10.9216 | + | 3.54866i | 0.554463 | + | 0.180156i | ||||
\(389\) | −13.9784 | + | 4.54185i | −0.708732 | + | 0.230281i | −0.641131 | − | 0.767432i | \(-0.721534\pi\) |
−0.0676008 | + | 0.997712i | \(0.521534\pi\) | |||||||
\(390\) | −7.99200 | − | 3.96209i | −0.404691 | − | 0.200628i | ||||
\(391\) | −5.87995 | − | 8.09306i | −0.297362 | − | 0.409284i | ||||
\(392\) | −6.96678 | + | 0.681177i | −0.351875 | + | 0.0344046i | ||||
\(393\) | −13.7751 | + | 2.33725i | −0.694864 | + | 0.117899i | ||||
\(394\) | −8.08094 | − | 5.87115i | −0.407112 | − | 0.295784i | ||||
\(395\) | 2.63171 | 0.132416 | ||||||||
\(396\) | 7.83207 | − | 6.13667i | 0.393576 | − | 0.308379i | ||||
\(397\) | − | 19.0866i | − | 0.957930i | −0.877834 | − | 0.478965i | \(-0.841012\pi\) | ||
0.877834 | − | 0.478965i | \(-0.158988\pi\) | |||||||
\(398\) | −7.23734 | − | 5.25823i | −0.362775 | − | 0.263571i | ||||
\(399\) | −2.25952 | − | 37.7878i | −0.113118 | − | 1.89176i | ||||
\(400\) | −1.22760 | − | 3.77816i | −0.0613800 | − | 0.188908i | ||||
\(401\) | −14.0631 | − | 19.3562i | −0.702278 | − | 0.966603i | −0.999929 | − | 0.0119284i | \(-0.996203\pi\) |
0.297650 | − | 0.954675i | \(-0.403797\pi\) | |||||||
\(402\) | 4.92428 | − | 9.93285i | 0.245601 | − | 0.495406i | ||||
\(403\) | 5.73983 | + | 17.6654i | 0.285921 | + | 0.879975i | ||||
\(404\) | −2.82671 | + | 8.69973i | −0.140634 | + | 0.432828i | ||||
\(405\) | −2.43496 | + | 8.79151i | −0.120994 | + | 0.436854i | ||||
\(406\) | 1.44069 | + | 0.156708i | 0.0715001 | + | 0.00777728i | ||||
\(407\) | 15.8811 | − | 5.41266i | 0.787199 | − | 0.268296i | ||||
\(408\) | 2.94511 | − | 1.54161i | 0.145805 | − | 0.0763212i | ||||
\(409\) | −18.4055 | + | 25.3331i | −0.910095 | + | 1.25264i | 0.0570387 | + | 0.998372i | \(0.481834\pi\) |
−0.967134 | + | 0.254267i | \(0.918166\pi\) | |||||||
\(410\) | −3.44150 | − | 1.11821i | −0.169964 | − | 0.0552246i | ||||
\(411\) | −21.5407 | − | 21.0723i | −1.06253 | − | 1.03942i | ||||
\(412\) | 5.01017 | + | 6.89591i | 0.246834 | + | 0.339737i | ||||
\(413\) | 21.1732 | − | 12.1222i | 1.04186 | − | 0.596492i | ||||
\(414\) | 14.9742 | + | 4.50402i | 0.735943 | + | 0.221360i | ||||
\(415\) | −3.99440 | + | 12.2935i | −0.196077 | + | 0.603464i | ||||
\(416\) | −4.11057 | − | 2.98650i | −0.201537 | − | 0.146425i | ||||
\(417\) | 0.743993 | − | 0.389442i | 0.0364335 | − | 0.0190711i | ||||
\(418\) | −16.4196 | − | 21.9323i | −0.803110 | − | 1.07275i | ||||
\(419\) | −3.54560 | −0.173214 | −0.0866070 | − | 0.996243i | \(-0.527602\pi\) | ||||
−0.0866070 | + | 0.996243i | \(0.527602\pi\) | |||||||
\(420\) | 1.16913 | − | 4.49540i | 0.0570476 | − | 0.219353i | ||||
\(421\) | 11.2677 | − | 34.6785i | 0.549155 | − | 1.69013i | −0.161745 | − | 0.986833i | \(-0.551712\pi\) |
0.710900 | − | 0.703293i | \(-0.248288\pi\) | |||||||
\(422\) | 9.39334 | − | 3.05208i | 0.457261 | − | 0.148573i | ||||
\(423\) | −0.556926 | − | 25.3309i | −0.0270787 | − | 1.23163i | ||||
\(424\) | −11.4306 | + | 8.30483i | −0.555120 | + | 0.403318i | ||||
\(425\) | 2.35603 | + | 7.25113i | 0.114284 | + | 0.351731i | ||||
\(426\) | −15.0452 | + | 2.55274i | −0.728941 | + | 0.123681i | ||||
\(427\) | 15.3170 | − | 16.8877i | 0.741244 | − | 0.817253i | ||||
\(428\) | 1.78247i | 0.0861587i | ||||||||
\(429\) | 26.3335 | + | 12.5886i | 1.27139 | + | 0.607784i | ||||
\(430\) | 7.22283i | 0.348316i | ||||||||
\(431\) | −7.26804 | + | 10.0036i | −0.350089 | + | 0.481856i | −0.947354 | − | 0.320188i | \(-0.896254\pi\) |
0.597265 | + | 0.802044i | \(0.296254\pi\) | |||||||
\(432\) | −2.20509 | + | 4.70506i | −0.106092 | + | 0.226372i | ||||
\(433\) | 1.43561 | − | 0.466458i | 0.0689910 | − | 0.0224165i | −0.274318 | − | 0.961639i | \(-0.588452\pi\) |
0.343309 | + | 0.939222i | \(0.388452\pi\) | |||||||
\(434\) | −8.39378 | + | 4.80564i | −0.402914 | + | 0.230678i | ||||
\(435\) | −0.427125 | + | 0.861562i | −0.0204791 | + | 0.0413087i | ||||
\(436\) | −3.14840 | − | 9.68978i | −0.150781 | − | 0.464056i | ||||
\(437\) | 13.3054 | − | 40.9500i | 0.636486 | − | 1.95890i | ||||
\(438\) | 0.662122 | − | 4.50005i | 0.0316374 | − | 0.215021i | ||||
\(439\) | 12.8099i | 0.611383i | 0.952131 | + | 0.305691i | \(0.0988876\pi\) | ||||
−0.952131 | + | 0.305691i | \(0.901112\pi\) | |||||||
\(440\) | −1.08451 | − | 3.18203i | −0.0517019 | − | 0.151697i | ||||
\(441\) | −15.3974 | + | 14.2801i | −0.733210 | + | 0.680003i | ||||
\(442\) | 7.88909 | + | 5.73176i | 0.375246 | + | 0.272632i | ||||
\(443\) | 19.5796 | + | 6.36181i | 0.930257 | + | 0.302259i | 0.734668 | − | 0.678427i | \(-0.237338\pi\) |
0.195589 | + | 0.980686i | \(0.437338\pi\) | |||||||
\(444\) | −6.12728 | + | 6.26348i | −0.290788 | + | 0.297251i | ||||
\(445\) | 12.6672 | − | 9.20325i | 0.600483 | − | 0.436276i | ||||
\(446\) | −1.27580 | + | 0.926920i | −0.0604107 | + | 0.0438909i | ||||
\(447\) | −7.06493 | − | 6.91131i | −0.334160 | − | 0.326894i | ||||
\(448\) | 1.08488 | − | 2.41309i | 0.0512560 | − | 0.114008i | ||||
\(449\) | −7.09042 | + | 9.75912i | −0.334617 | + | 0.460561i | −0.942860 | − | 0.333190i | \(-0.891875\pi\) |
0.608242 | + | 0.793751i | \(0.291875\pi\) | |||||||
\(450\) | −9.79334 | − | 6.79148i | −0.461663 | − | 0.320153i | ||||
\(451\) | 11.3122 | + | 3.49730i | 0.532669 | + | 0.164682i | ||||
\(452\) | 8.00555i | 0.376549i | ||||||||
\(453\) | −1.52473 | + | 10.3627i | −0.0716381 | + | 0.486881i | ||||
\(454\) | 1.44562 | + | 0.469709i | 0.0678461 | + | 0.0220445i | ||||
\(455\) | 13.3383 | − | 2.78461i | 0.625308 | − | 0.130545i | ||||
\(456\) | 12.8191 | + | 6.35517i | 0.600310 | + | 0.297608i | ||||
\(457\) | 6.52749 | − | 4.74250i | 0.305343 | − | 0.221845i | −0.424553 | − | 0.905403i | \(-0.639569\pi\) |
0.729896 | + | 0.683558i | \(0.239569\pi\) | |||||||
\(458\) | −3.40396 | − | 10.4763i | −0.159057 | − | 0.489526i | ||||
\(459\) | 4.23205 | − | 9.03005i | 0.197535 | − | 0.421487i | ||||
\(460\) | 3.10541 | − | 4.27423i | 0.144791 | − | 0.199287i | ||||
\(461\) | −10.6013 | −0.493750 | −0.246875 | − | 0.969047i | \(-0.579404\pi\) | ||||
−0.246875 | + | 0.969047i | \(0.579404\pi\) | |||||||
\(462\) | −3.61451 | + | 14.7626i | −0.168162 | + | 0.686820i | ||||
\(463\) | −3.94527 | −0.183352 | −0.0916762 | − | 0.995789i | \(-0.529222\pi\) | ||||
−0.0916762 | + | 0.995789i | \(0.529222\pi\) | |||||||
\(464\) | −0.321954 | + | 0.443131i | −0.0149463 | + | 0.0205719i | ||||
\(465\) | −1.07362 | − | 6.32762i | −0.0497878 | − | 0.293436i | ||||
\(466\) | −2.94675 | − | 9.06917i | −0.136506 | − | 0.420121i | ||||
\(467\) | −0.847134 | + | 0.615479i | −0.0392007 | + | 0.0284810i | −0.607213 | − | 0.794539i | \(-0.707713\pi\) |
0.568012 | + | 0.823020i | \(0.307713\pi\) | |||||||
\(468\) | −15.2391 | + | 0.335049i | −0.704429 | + | 0.0154876i | ||||
\(469\) | 3.46085 | + | 16.5775i | 0.159807 | + | 0.765477i | ||||
\(470\) | −8.14161 | − | 2.64537i | −0.375545 | − | 0.122022i | ||||
\(471\) | 10.1844 | + | 1.49850i | 0.469273 | + | 0.0690473i | ||||
\(472\) | 9.22148i | 0.424453i | ||||||||
\(473\) | −0.338355 | − | 23.6314i | −0.0155576 | − | 1.08657i | ||||
\(474\) | 3.98422 | − | 2.08554i | 0.183002 | − | 0.0957919i | ||||
\(475\) | −19.2890 | + | 26.5491i | −0.885041 | + | 1.21815i | ||||
\(476\) | −2.08213 | + | 4.63126i | −0.0954344 | + | 0.212274i | ||||
\(477\) | −12.2091 | + | 40.5907i | −0.559014 | + | 1.85852i | ||||
\(478\) | 2.25950 | − | 1.64162i | 0.103347 | − | 0.0750860i | ||||
\(479\) | 19.8267 | − | 14.4050i | 0.905907 | − | 0.658180i | −0.0340695 | − | 0.999419i | \(-0.510847\pi\) |
0.939976 | + | 0.341240i | \(0.110847\pi\) | |||||||
\(480\) | 1.25498 | + | 1.22769i | 0.0572818 | + | 0.0560363i | ||||
\(481\) | −24.4455 | − | 7.94282i | −1.11462 | − | 0.362162i | ||||
\(482\) | 17.4463 | + | 12.6755i | 0.794659 | + | 0.577354i | ||||
\(483\) | −22.2357 | + | 8.72388i | −1.01176 | + | 0.396950i | ||||
\(484\) | 3.69731 | + | 10.3600i | 0.168060 | + | 0.470910i | ||||
\(485\) | − | 11.6400i | − | 0.528545i | ||||||
\(486\) | 3.28060 | + | 15.2393i | 0.148811 | + | 0.691271i | ||||
\(487\) | −5.62488 | + | 17.3116i | −0.254888 | + | 0.784463i | 0.738964 | + | 0.673745i | \(0.235315\pi\) |
−0.993852 | + | 0.110719i | \(0.964685\pi\) | |||||||
\(488\) | 2.66290 | + | 8.19555i | 0.120544 | + | 0.370995i | ||||
\(489\) | 26.5259 | + | 13.1504i | 1.19954 | + | 0.594682i | ||||
\(490\) | 2.83881 | + | 6.50261i | 0.128244 | + | 0.293758i | ||||
\(491\) | −20.1057 | + | 6.53274i | −0.907358 | + | 0.294819i | −0.725271 | − | 0.688464i | \(-0.758285\pi\) |
−0.182088 | + | 0.983282i | \(0.558285\pi\) | |||||||
\(492\) | −6.09634 | + | 1.03437i | −0.274844 | + | 0.0466332i | ||||
\(493\) | 0.617901 | − | 0.850467i | 0.0278288 | − | 0.0383031i | ||||
\(494\) | 41.9722i | 1.88842i | ||||||||
\(495\) | −8.36893 | − | 5.62797i | −0.376155 | − | 0.252958i | ||||
\(496\) | − | 3.65572i | − | 0.164146i | ||||||
\(497\) | 15.6604 | − | 17.2663i | 0.702465 | − | 0.774498i | ||||
\(498\) | 3.69492 | + | 21.7769i | 0.165573 | + | 0.975847i | ||||
\(499\) | −3.79351 | − | 11.6752i | −0.169821 | − | 0.522654i | 0.829538 | − | 0.558450i | \(-0.188604\pi\) |
−0.999359 | + | 0.0357953i | \(0.988604\pi\) | |||||||
\(500\) | −7.35777 | + | 5.34573i | −0.329050 | + | 0.239069i | ||||
\(501\) | 15.2647 | + | 7.56758i | 0.681976 | + | 0.338095i | ||||
\(502\) | −22.2186 | + | 7.21927i | −0.991667 | + | 0.322212i | ||||
\(503\) | −8.31118 | + | 25.5792i | −0.370577 | + | 1.14052i | 0.575837 | + | 0.817564i | \(0.304676\pi\) |
−0.946414 | + | 0.322955i | \(0.895324\pi\) | |||||||
\(504\) | −1.79247 | − | 7.73221i | −0.0798429 | − | 0.344420i | ||||
\(505\) | 9.27193 | 0.412595 | ||||||||
\(506\) | −9.95993 | + | 14.1297i | −0.442773 | + | 0.628143i | ||||
\(507\) | −10.2944 | − | 19.6665i | −0.457191 | − | 0.873420i | ||||
\(508\) | −0.806567 | − | 0.586005i | −0.0357856 | − | 0.0259998i | ||||
\(509\) | 5.15149 | − | 15.8547i | 0.228336 | − | 0.702746i | −0.769600 | − | 0.638526i | \(-0.779544\pi\) |
0.997936 | − | 0.0642192i | \(-0.0204557\pi\) | |||||||
\(510\) | −2.40859 | − | 2.35621i | −0.106654 | − | 0.104335i | ||||
\(511\) | 3.45213 | + | 6.02966i | 0.152713 | + | 0.266737i | ||||
\(512\) | 0.587785 | + | 0.809017i | 0.0259767 | + | 0.0357538i | ||||
\(513\) | 42.1510 | − | 8.10881i | 1.86101 | − | 0.358013i | ||||
\(514\) | −24.9546 | − | 8.10825i | −1.10070 | − | 0.357640i | ||||
\(515\) | 5.07836 | − | 6.98976i | 0.223779 | − | 0.308006i | ||||
\(516\) | 5.72384 | + | 10.9349i | 0.251978 | + | 0.481380i | ||||
\(517\) | 26.7613 | + | 8.27362i | 1.17696 | + | 0.363873i | ||||
\(518\) | 1.44732 | − | 13.3059i | 0.0635916 | − | 0.584627i | ||||
\(519\) | −5.42156 | + | 36.8471i | −0.237980 | + | 1.61741i | ||||
\(520\) | −1.59146 | + | 4.89803i | −0.0697904 | + | 0.214793i | ||||
\(521\) | 3.78190 | + | 11.6395i | 0.165688 | + | 0.509935i | 0.999086 | − | 0.0427377i | \(-0.0136080\pi\) |
−0.833398 | + | 0.552673i | \(0.813608\pi\) | |||||||
\(522\) | 0.0361193 | + | 1.64282i | 0.00158090 | + | 0.0719045i | ||||
\(523\) | −16.7754 | − | 23.0894i | −0.733538 | − | 1.00963i | −0.998964 | − | 0.0454977i | \(-0.985513\pi\) |
0.265426 | − | 0.964131i | \(-0.414487\pi\) | |||||||
\(524\) | 2.49276 | + | 7.67194i | 0.108897 | + | 0.335150i | ||||
\(525\) | 18.1723 | − | 1.08661i | 0.793103 | − | 0.0474236i | ||||
\(526\) | −9.73293 | − | 7.07139i | −0.424376 | − | 0.308327i | ||||
\(527\) | 7.01612i | 0.305627i | ||||||||
\(528\) | −4.16351 | − | 3.95793i | −0.181194 | − | 0.172247i | ||||
\(529\) | −4.16816 | −0.181224 | ||||||||
\(530\) | 11.5862 | + | 8.41785i | 0.503271 | + | 0.365648i | ||||
\(531\) | 16.7488 | + | 22.0182i | 0.726835 | + | 0.955508i | ||||
\(532\) | −21.3945 | + | 4.46650i | −0.927570 | + | 0.193647i | ||||
\(533\) | −10.6619 | − | 14.6748i | −0.461818 | − | 0.635638i | ||||
\(534\) | 11.8840 | − | 23.9714i | 0.514270 | − | 1.03734i | ||||
\(535\) | 1.71830 | − | 0.558308i | 0.0742884 | − | 0.0241378i | ||||
\(536\) | −6.08751 | − | 1.97795i | −0.262940 | − | 0.0854345i | ||||
\(537\) | 30.5874 | + | 4.50052i | 1.31994 | + | 0.194212i | ||||
\(538\) | − | 5.70574i | − | 0.245992i | ||||||
\(539\) | −9.59250 | − | 21.1420i | −0.413178 | − | 0.910650i | ||||
\(540\) | 5.22636 | + | 0.651972i | 0.224907 | + | 0.0280564i | ||||
\(541\) | −17.7621 | − | 12.9049i | −0.763654 | − | 0.554827i | 0.136375 | − | 0.990657i | \(-0.456455\pi\) |
−0.900029 | + | 0.435830i | \(0.856455\pi\) | |||||||
\(542\) | −9.37351 | + | 28.8487i | −0.402627 | + | 1.23916i | ||||
\(543\) | −9.95400 | − | 9.73755i | −0.427167 | − | 0.417878i | ||||
\(544\) | −1.12809 | − | 1.55268i | −0.0483664 | − | 0.0665707i | ||||
\(545\) | −8.35480 | + | 6.07012i | −0.357880 | + | 0.260015i | ||||
\(546\) | 17.9865 | − | 14.7858i | 0.769752 | − | 0.632775i | ||||
\(547\) | 9.94519 | − | 30.6081i | 0.425226 | − | 1.30871i | −0.477552 | − | 0.878603i | \(-0.658476\pi\) |
0.902778 | − | 0.430107i | \(-0.141524\pi\) | |||||||
\(548\) | −10.2262 | + | 14.0751i | −0.436840 | + | 0.601258i | ||||
\(549\) | 21.2436 | + | 14.7320i | 0.906655 | + | 0.628746i | ||||
\(550\) | 10.5473 | − | 7.89624i | 0.449740 | − | 0.336697i | ||||
\(551\) | 4.52472 | 0.192760 | ||||||||
\(552\) | 1.31420 | − | 8.93182i | 0.0559359 | − | 0.380163i | ||||
\(553\) | −2.81677 | + | 6.26530i | −0.119781 | + | 0.266428i | ||||
\(554\) | 19.9810 | − | 6.49222i | 0.848912 | − | 0.275828i | ||||
\(555\) | 7.95719 | + | 3.94484i | 0.337764 | + | 0.167449i | ||||
\(556\) | −0.284978 | − | 0.392239i | −0.0120858 | − | 0.0166346i | ||||
\(557\) | −2.55036 | + | 0.828662i | −0.108062 | + | 0.0351115i | −0.362549 | − | 0.931965i | \(-0.618093\pi\) |
0.254487 | + | 0.967076i | \(0.418093\pi\) | |||||||
\(558\) | −6.63980 | − | 8.72877i | −0.281085 | − | 0.369518i | ||||
\(559\) | −21.2814 | + | 29.2913i | −0.900107 | + | 1.23889i | ||||
\(560\) | −2.66603 | − | 0.289992i | −0.112660 | − | 0.0122544i | ||||
\(561\) | 7.99070 | + | 7.59613i | 0.337367 | + | 0.320709i | ||||
\(562\) | −12.4286 | −0.524267 | ||||||||
\(563\) | −12.2852 | − | 8.92575i | −0.517761 | − | 0.376176i | 0.297999 | − | 0.954566i | \(-0.403681\pi\) |
−0.815760 | + | 0.578391i | \(0.803681\pi\) | |||||||
\(564\) | −14.4222 | + | 2.44704i | −0.607284 | + | 0.103039i | ||||
\(565\) | 7.71735 | − | 2.50752i | 0.324671 | − | 0.105492i | ||||
\(566\) | −4.52692 | + | 3.28900i | −0.190281 | + | 0.138247i | ||||
\(567\) | −18.3237 | − | 15.2066i | −0.769524 | − | 0.638618i | ||||
\(568\) | 2.72259 | + | 8.37927i | 0.114237 | + | 0.351586i | ||||
\(569\) | 7.34653 | + | 2.38703i | 0.307983 | + | 0.100070i | 0.458931 | − | 0.888472i | \(-0.348233\pi\) |
−0.150948 | + | 0.988542i | \(0.548233\pi\) | |||||||
\(570\) | 2.11114 | − | 14.3482i | 0.0884261 | − | 0.600980i | ||||
\(571\) | −18.4345 | −0.771458 | −0.385729 | − | 0.922612i | \(-0.626050\pi\) | ||||
−0.385729 | + | 0.922612i | \(0.626050\pi\) | |||||||
\(572\) | 4.97744 | − | 16.0997i | 0.208117 | − | 0.673163i | ||||
\(573\) | 14.8929 | − | 7.79568i | 0.622160 | − | 0.325669i | ||||
\(574\) | 6.34563 | − | 6.99633i | 0.264861 | − | 0.292021i | ||||
\(575\) | 19.6930 | + | 6.39863i | 0.821253 | + | 0.266841i | ||||
\(576\) | 2.87286 | + | 0.864112i | 0.119702 | + | 0.0360047i | ||||
\(577\) | −8.44416 | − | 11.6224i | −0.351535 | − | 0.483847i | 0.596231 | − | 0.802813i | \(-0.296664\pi\) |
−0.947766 | + | 0.318966i | \(0.896664\pi\) | |||||||
\(578\) | −7.82730 | − | 10.7733i | −0.325573 | − | 0.448112i | ||||
\(579\) | 4.22733 | − | 4.32130i | 0.175682 | − | 0.179587i | ||||
\(580\) | 0.528022 | + | 0.171565i | 0.0219249 | + | 0.00712384i | ||||
\(581\) | −24.9918 | − | 22.6674i | −1.03683 | − | 0.940402i | ||||
\(582\) | −9.22428 | − | 17.6221i | −0.382359 | − | 0.730460i | ||||
\(583\) | −38.3015 | − | 26.9984i | −1.58629 | − | 1.11816i | ||||
\(584\) | −2.62608 | −0.108668 | ||||||||
\(585\) | 5.09623 | + | 14.5856i | 0.210703 | + | 0.603040i | ||||
\(586\) | 27.9767 | + | 9.09019i | 1.15571 | + | 0.375512i | ||||
\(587\) | −8.32919 | − | 25.6346i | −0.343782 | − | 1.05805i | −0.962232 | − | 0.272229i | \(-0.912239\pi\) |
0.618450 | − | 0.785824i | \(-0.287761\pi\) | |||||||
\(588\) | 9.45084 | + | 7.59484i | 0.389746 | + | 0.313206i | ||||
\(589\) | −24.4313 | + | 17.7504i | −1.00668 | + | 0.731392i | ||||
\(590\) | 8.88951 | − | 2.88838i | 0.365975 | − | 0.118913i | ||||
\(591\) | 2.89408 | + | 17.0570i | 0.119047 | + | 0.701630i | ||||
\(592\) | 4.09266 | + | 2.97349i | 0.168207 | + | 0.122210i | ||||
\(593\) | 20.9730 | 0.861258 | 0.430629 | − | 0.902529i | \(-0.358292\pi\) | ||||
0.430629 | + | 0.902529i | \(0.358292\pi\) | |||||||
\(594\) | −17.1299 | − | 1.88827i | −0.702849 | − | 0.0774765i | ||||
\(595\) | 5.11671 | + | 0.556559i | 0.209764 | + | 0.0228167i | ||||
\(596\) | −3.35397 | + | 4.61635i | −0.137384 | + | 0.189093i | ||||
\(597\) | 2.59196 | + | 15.2763i | 0.106082 | + | 0.625218i | ||||
\(598\) | 25.1872 | − | 8.18383i | 1.02998 | − | 0.334662i | ||||
\(599\) | −8.93324 | − | 12.2955i | −0.365002 | − | 0.502382i | 0.586532 | − | 0.809926i | \(-0.300493\pi\) |
−0.951534 | + | 0.307544i | \(0.900493\pi\) | |||||||
\(600\) | −3.05622 | + | 6.16475i | −0.124770 | + | 0.251675i | ||||
\(601\) | 32.2651 | − | 10.4836i | 1.31612 | − | 0.427633i | 0.434959 | − | 0.900450i | \(-0.356763\pi\) |
0.881161 | + | 0.472817i | \(0.156763\pi\) | |||||||
\(602\) | −17.1954 | − | 7.73073i | −0.700831 | − | 0.315081i | ||||
\(603\) | −18.1277 | + | 6.33385i | −0.738216 | + | 0.257934i | ||||
\(604\) | 6.04732 | 0.246062 | ||||||||
\(605\) | 8.82897 | − | 6.80920i | 0.358949 | − | 0.276833i | ||||
\(606\) | 14.0370 | − | 7.34767i | 0.570216 | − | 0.298479i | ||||
\(607\) | 13.2814 | − | 18.2803i | 0.539076 | − | 0.741974i | −0.449404 | − | 0.893329i | \(-0.648364\pi\) |
0.988479 | + | 0.151355i | \(0.0483636\pi\) | |||||||
\(608\) | 2.55270 | − | 7.85640i | 0.103526 | − | 0.318619i | ||||
\(609\) | −1.59396 | − | 1.93900i | −0.0645903 | − | 0.0785722i | ||||
\(610\) | 7.06643 | − | 5.13406i | 0.286111 | − | 0.207872i | ||||
\(611\) | −25.2230 | − | 34.7165i | −1.02041 | − | 1.40448i | ||||
\(612\) | −5.51365 | − | 1.65842i | −0.222876 | − | 0.0670377i | ||||
\(613\) | −7.72272 | + | 23.7681i | −0.311918 | + | 0.959984i | 0.665087 | + | 0.746766i | \(0.268394\pi\) |
−0.977005 | + | 0.213218i | \(0.931606\pi\) | |||||||
\(614\) | 3.49198 | + | 2.53707i | 0.140925 | + | 0.102388i | ||||
\(615\) | 2.90665 | + | 5.55288i | 0.117207 | + | 0.223914i | ||||
\(616\) | 8.73620 | + | 0.823894i | 0.351992 | + | 0.0331956i | ||||
\(617\) | − | 5.82704i | − | 0.234588i | −0.993097 | − | 0.117294i | \(-0.962578\pi\) | ||
0.993097 | − | 0.117294i | \(-0.0374219\pi\) | |||||||
\(618\) | 2.14914 | − | 14.6064i | 0.0864510 | − | 0.587556i | ||||
\(619\) | 21.3983 | + | 6.95272i | 0.860070 | + | 0.279454i | 0.705658 | − | 0.708553i | \(-0.250652\pi\) |
0.154412 | + | 0.988007i | \(0.450652\pi\) | |||||||
\(620\) | −3.52411 | + | 1.14505i | −0.141532 | + | 0.0459864i | ||||
\(621\) | −13.0848 | − | 23.7135i | −0.525073 | − | 0.951590i | ||||
\(622\) | 5.25058 | + | 7.22680i | 0.210529 | + | 0.289768i | ||||
\(623\) | 8.35222 | + | 40.0071i | 0.334625 | + | 1.60285i | ||||
\(624\) | 1.47215 | + | 8.67644i | 0.0589330 | + | 0.347336i | ||||
\(625\) | −8.61158 | − | 6.25668i | −0.344463 | − | 0.250267i | ||||
\(626\) | −0.515154 | −0.0205897 | ||||||||
\(627\) | −6.23501 | + | 47.0427i | −0.249002 | + | 1.87871i | ||||
\(628\) | − | 5.94329i | − | 0.237163i | ||||||
\(629\) | −7.85473 | − | 5.70679i | −0.313188 | − | 0.227545i | ||||
\(630\) | −6.89241 | + | 4.14984i | −0.274600 | + | 0.165334i | ||||
\(631\) | −1.98371 | − | 6.10522i | −0.0789701 | − | 0.243045i | 0.903776 | − | 0.428006i | \(-0.140784\pi\) |
−0.982746 | + | 0.184962i | \(0.940784\pi\) | |||||||
\(632\) | −1.52611 | − | 2.10051i | −0.0607055 | − | 0.0835539i | ||||
\(633\) | −15.3269 | − | 7.59843i | −0.609190 | − | 0.302010i | ||||
\(634\) | 1.28902 | + | 3.96719i | 0.0511935 | + | 0.157557i | ||||
\(635\) | −0.312274 | + | 0.961080i | −0.0123922 | + | 0.0381393i | ||||
\(636\) | 24.2115 | + | 3.56240i | 0.960048 | + | 0.141258i | ||||
\(637\) | −7.64689 | + | 34.7348i | −0.302981 | + | 1.37624i | ||||
\(638\) | −1.73560 | − | 0.536583i | −0.0687129 | − | 0.0212435i | ||||
\(639\) | 21.7198 | + | 15.0622i | 0.859223 | + | 0.595853i | ||||
\(640\) | 0.595785 | − | 0.820027i | 0.0235505 | − | 0.0324144i | ||||
\(641\) | 12.0721 | + | 3.92246i | 0.476819 | + | 0.154928i | 0.537560 | − | 0.843226i | \(-0.319346\pi\) |
−0.0607408 | + | 0.998154i | \(0.519346\pi\) | |||||||
\(642\) | 2.15894 | − | 2.20693i | 0.0852065 | − | 0.0871005i | ||||
\(643\) | 9.65314 | + | 13.2864i | 0.380683 | + | 0.523965i | 0.955765 | − | 0.294130i | \(-0.0950300\pi\) |
−0.575082 | + | 0.818095i | \(0.695030\pi\) | |||||||
\(644\) | 6.85187 | + | 11.9678i | 0.270002 | + | 0.471599i | ||||
\(645\) | 8.74837 | − | 8.94282i | 0.344467 | − | 0.352123i | ||||
\(646\) | −4.89919 | + | 15.0782i | −0.192756 | + | 0.593242i | ||||
\(647\) | −28.3351 | − | 20.5867i | −1.11397 | − | 0.809345i | −0.130684 | − | 0.991424i | \(-0.541717\pi\) |
−0.983284 | + | 0.182079i | \(0.941717\pi\) | |||||||
\(648\) | 8.42900 | − | 3.15466i | 0.331123 | − | 0.123927i | ||||
\(649\) | −28.9490 | + | 9.86650i | −1.13635 | + | 0.387294i | ||||
\(650\) | −20.1845 | −0.791702 | ||||||||
\(651\) | 16.2133 | + | 4.21661i | 0.635447 | + | 0.165262i | ||||
\(652\) | 5.28217 | − | 16.2568i | 0.206866 | − | 0.636667i | ||||
\(653\) | −16.9538 | + | 5.50862i | −0.663453 | + | 0.215569i | −0.621337 | − | 0.783544i | \(-0.713410\pi\) |
−0.0421165 | + | 0.999113i | \(0.513410\pi\) | |||||||
\(654\) | −7.83822 | + | 15.8106i | −0.306499 | + | 0.618244i | ||||
\(655\) | 6.61495 | − | 4.80605i | 0.258468 | − | 0.187788i | ||||
\(656\) | 1.10320 | + | 3.39530i | 0.0430727 | + | 0.132564i | ||||
\(657\) | −6.27030 | + | 4.76969i | −0.244628 | + | 0.186083i | ||||
\(658\) | 15.0119 | − | 16.5513i | 0.585226 | − | 0.645237i | ||||
\(659\) | − | 19.0631i | − | 0.742592i | −0.928514 | − | 0.371296i | \(-0.878913\pi\) | ||
0.928514 | − | 0.371296i | \(-0.121087\pi\) | |||||||
\(660\) | −2.51133 | + | 5.25333i | −0.0977536 | + | 0.204486i | ||||
\(661\) | − | 25.6299i | − | 0.996889i | −0.866922 | − | 0.498445i | \(-0.833905\pi\) | ||
0.866922 | − | 0.498445i | \(-0.166095\pi\) | |||||||
\(662\) | 3.79620 | − | 5.22502i | 0.147543 | − | 0.203076i | ||||
\(663\) | −2.82537 | − | 16.6520i | −0.109728 | − | 0.646710i | ||||
\(664\) | 12.1284 | − | 3.94077i | 0.470675 | − | 0.152931i | ||||
\(665\) | 11.0069 | + | 19.2253i | 0.426831 | + | 0.745525i | ||||
\(666\) | 15.1728 | − | 0.333590i | 0.587933 | − | 0.0129263i | ||||
\(667\) | −0.882241 | − | 2.71526i | −0.0341605 | − | 0.105135i | ||||
\(668\) | 3.03969 | − | 9.35521i | 0.117609 | − | 0.361964i | ||||
\(669\) | 2.70230 | + | 0.397607i | 0.104477 | + | 0.0153724i | ||||
\(670\) | 6.48790i | 0.250649i | ||||||||
\(671\) | −22.8791 | + | 17.1284i | −0.883240 | + | 0.661236i | ||||
\(672\) | −4.26599 | + | 1.67371i | −0.164564 | + | 0.0645647i | ||||
\(673\) | −8.65306 | − | 6.28682i | −0.333551 | − | 0.242339i | 0.408385 | − | 0.912810i | \(-0.366092\pi\) |
−0.741936 | + | 0.670471i | \(0.766092\pi\) | |||||||
\(674\) | 27.3072 | + | 8.87266i | 1.05184 | + | 0.341762i | ||||
\(675\) | 3.89955 | + | 20.2705i | 0.150094 | + | 0.780213i | ||||
\(676\) | −10.3683 | + | 7.53303i | −0.398782 | + | 0.289732i | ||||
\(677\) | 0.560407 | − | 0.407160i | 0.0215382 | − | 0.0156484i | −0.576964 | − | 0.816770i | \(-0.695763\pi\) |
0.598502 | + | 0.801121i | \(0.295763\pi\) | |||||||
\(678\) | 9.69640 | − | 9.91193i | 0.372388 | − | 0.380665i | ||||
\(679\) | 27.7113 | + | 12.4585i | 1.06346 | + | 0.478113i | ||||
\(680\) | −1.14344 | + | 1.57381i | −0.0438490 | + | 0.0603530i | ||||
\(681\) | −1.22095 | − | 2.33251i | −0.0467868 | − | 0.0893818i | ||||
\(682\) | 11.4764 | − | 3.91142i | 0.439454 | − | 0.149776i | ||||
\(683\) | − | 9.64920i | − | 0.369216i | −0.982812 | − | 0.184608i | \(-0.940898\pi\) | ||
0.982812 | − | 0.184608i | \(-0.0591016\pi\) | |||||||
\(684\) | −8.17431 | − | 23.3952i | −0.312553 | − | 0.894537i | ||||
\(685\) | 16.7714 | + | 5.44937i | 0.640804 | + | 0.208210i | ||||
\(686\) | −18.5192 | − | 0.201531i | −0.707065 | − | 0.00769449i | ||||
\(687\) | −8.47446 | + | 17.0940i | −0.323321 | + | 0.652175i | ||||
\(688\) | 5.76494 | − | 4.18847i | 0.219786 | − | 0.159684i | ||||
\(689\) | 22.1839 | + | 68.2751i | 0.845140 | + | 2.60107i | ||||
\(690\) | −9.02191 | + | 1.53076i | −0.343458 | + | 0.0582751i | ||||
\(691\) | 28.3605 | − | 39.0349i | 1.07889 | − | 1.48496i | 0.218145 | − | 0.975916i | \(-0.429999\pi\) |
0.860741 | − | 0.509043i | \(-0.170001\pi\) | |||||||
\(692\) | 21.5027 | 0.817411 | ||||||||
\(693\) | 22.3559 | − | 13.9002i | 0.849230 | − | 0.528023i | ||||
\(694\) | −21.7197 | −0.824468 | ||||||||
\(695\) | −0.288856 | + | 0.397577i | −0.0109569 | + | 0.0150809i | ||||
\(696\) | 0.935347 | − | 0.158702i | 0.0354542 | − | 0.00601557i | ||||
\(697\) | −2.11728 | − | 6.51632i | −0.0801978 | − | 0.246823i | ||||
\(698\) | 0.0772332 | − | 0.0561132i | 0.00292332 | − | 0.00212392i | ||||
\(699\) | −7.33619 | + | 14.7980i | −0.277480 | + | 0.559710i | ||||
\(700\) | −2.14795 | − | 10.2887i | −0.0811849 | − | 0.388876i | ||||
\(701\) | −0.932054 | − | 0.302843i | −0.0352032 | − | 0.0114382i | 0.291362 | − | 0.956613i | \(-0.405891\pi\) |
−0.326566 | + | 0.945175i | \(0.605891\pi\) | |||||||
\(702\) | 19.2739 | + | 18.0430i | 0.727446 | + | 0.680988i | ||||
\(703\) | − | 41.7893i | − | 1.57612i | ||||||
\(704\) | −1.91085 | + | 2.71084i | −0.0720178 | + | 0.102169i | ||||
\(705\) | 6.87630 | + | 13.1365i | 0.258976 | + | 0.494750i | ||||
\(706\) | −14.1080 | + | 19.4180i | −0.530961 | + | 0.730805i | ||||
\(707\) | −9.92391 | + | 22.0736i | −0.373227 | + | 0.830165i | ||||
\(708\) | 11.1692 | − | 11.4174i | 0.419762 | − | 0.429093i | ||||
\(709\) | −21.4031 | + | 15.5503i | −0.803811 | + | 0.584003i | −0.912030 | − | 0.410124i | \(-0.865485\pi\) |
0.108218 | + | 0.994127i | \(0.465485\pi\) | |||||||
\(710\) | 7.22484 | − | 5.24915i | 0.271143 | − | 0.196997i | ||||
\(711\) | −7.45902 | − | 2.24356i | −0.279735 | − | 0.0841401i | ||||
\(712\) | −14.6912 | − | 4.77347i | −0.550578 | − | 0.178893i | ||||
\(713\) | 15.4156 | + | 11.2001i | 0.577318 | + | 0.419446i | ||||
\(714\) | 8.18738 | − | 3.21221i | 0.306405 | − | 0.120214i | ||||
\(715\) | −17.0792 | + | 0.244541i | −0.638724 | + | 0.00914530i | ||||
\(716\) | − | 17.8498i | − | 0.667077i | ||||||
\(717\) | −4.78591 | − | 0.704182i | −0.178733 | − | 0.0262982i | ||||
\(718\) | 4.16110 | − | 12.8065i | 0.155291 | − | 0.477936i | ||||
\(719\) | −15.5196 | − | 47.7643i | −0.578782 | − | 1.78131i | −0.622923 | − | 0.782283i | \(-0.714055\pi\) |
0.0441414 | − | 0.999025i | \(-0.485945\pi\) | |||||||
\(720\) | −0.0668397 | − | 3.04009i | −0.00249097 | − | 0.113298i | ||||
\(721\) | 11.2050 | + | 19.5713i | 0.417297 | + | 0.728873i | ||||
\(722\) | −46.8293 | + | 15.2158i | −1.74281 | + | 0.566272i | ||||
\(723\) | −6.24818 | − | 36.8251i | −0.232372 | − | 1.36954i | ||||
\(724\) | −4.72552 | + | 6.50411i | −0.175622 | + | 0.241723i | ||||
\(725\) | 2.17595i | 0.0808128i | ||||||||
\(726\) | 7.97039 | − | 17.3053i | 0.295809 | − | 0.642259i | ||||
\(727\) | − | 14.2750i | − | 0.529430i | −0.964327 | − | 0.264715i | \(-0.914722\pi\) | ||
0.964327 | − | 0.264715i | \(-0.0852779\pi\) | |||||||
\(728\) | −9.95733 | − | 9.03124i | −0.369043 | − | 0.334720i | ||||
\(729\) | 14.3962 | − | 22.8418i | 0.533193 | − | 0.845993i | ||||
\(730\) | 0.822547 | + | 2.53154i | 0.0304438 | + | 0.0936964i | ||||
\(731\) | −11.0642 | + | 8.03860i | −0.409224 | + | 0.297318i | ||||
\(732\) | 6.62951 | − | 13.3725i | 0.245034 | − | 0.494262i | ||||
\(733\) | 3.36003 | − | 1.09174i | 0.124106 | − | 0.0403244i | −0.246306 | − | 0.969192i | \(-0.579217\pi\) |
0.370411 | + | 0.928868i | \(0.379217\pi\) | |||||||
\(734\) | 6.52817 | − | 20.0916i | 0.240959 | − | 0.741596i | ||||
\(735\) | 4.36121 | − | 11.4895i | 0.160866 | − | 0.423796i | ||||
\(736\) | −5.21231 | −0.192128 | ||||||||
\(737\) | −0.303927 | − | 21.2268i | −0.0111953 | − | 0.781900i | ||||
\(738\) | 8.80092 | + | 6.10325i | 0.323966 | + | 0.224664i | ||||
\(739\) | 24.1844 | + | 17.5710i | 0.889637 | + | 0.646359i | 0.935783 | − | 0.352575i | \(-0.114694\pi\) |
−0.0461461 | + | 0.998935i | \(0.514694\pi\) | |||||||
\(740\) | 1.58453 | − | 4.87669i | 0.0582486 | − | 0.179271i | ||||
\(741\) | 50.8371 | − | 51.9671i | 1.86755 | − | 1.90906i | ||||
\(742\) | −32.4412 | + | 18.5734i | −1.19096 | + | 0.681850i | ||||
\(743\) | 26.6778 | + | 36.7189i | 0.978714 | + | 1.34708i | 0.937519 | + | 0.347933i | \(0.113116\pi\) |
0.0411944 | + | 0.999151i | \(0.486884\pi\) | |||||||
\(744\) | −4.42784 | + | 4.52626i | −0.162332 | + | 0.165941i | ||||
\(745\) | 5.50070 | + | 1.78729i | 0.201530 | + | 0.0654811i | ||||
\(746\) | 7.72794 | − | 10.6366i | 0.282940 | − | 0.389434i | ||||
\(747\) | 21.8016 | − | 31.4380i | 0.797679 | − | 1.15026i | ||||
\(748\) | 3.66734 | − | 5.20270i | 0.134091 | − | 0.190230i | ||||
\(749\) | −0.509961 | + | 4.68831i | −0.0186336 | + | 0.171307i | ||||
\(750\) | 15.5847 | + | 2.29308i | 0.569073 | + | 0.0837314i | ||||
\(751\) | −10.4682 | + | 32.2177i | −0.381988 | + | 1.17564i | 0.556653 | + | 0.830745i | \(0.312085\pi\) |
−0.938642 | + | 0.344894i | \(0.887915\pi\) | |||||||
\(752\) | 2.60985 | + | 8.03230i | 0.0951715 | + | 0.292908i | ||||
\(753\) | 36.2537 | + | 17.9730i | 1.32116 | + | 0.654973i | ||||
\(754\) | 1.63583 | + | 2.25152i | 0.0595734 | + | 0.0819957i | ||||
\(755\) | −1.89416 | − | 5.82961i | −0.0689354 | − | 0.212161i | ||||
\(756\) | −7.14601 | + | 11.7446i | −0.259898 | + | 0.427145i | ||||
\(757\) | 6.29849 | + | 4.57612i | 0.228923 | + | 0.166322i | 0.696334 | − | 0.717718i | \(-0.254813\pi\) |
−0.467411 | + | 0.884040i | \(0.654813\pi\) | |||||||
\(758\) | 4.93668i | 0.179308i | ||||||||
\(759\) | 29.4458 | − | 5.43091i | 1.06881 | − | 0.197130i | ||||
\(760\) | −8.37313 | −0.303725 | ||||||||
\(761\) | 25.6965 | + | 18.6696i | 0.931498 | + | 0.676773i | 0.946359 | − | 0.323117i | \(-0.104731\pi\) |
−0.0148614 | + | 0.999890i | \(0.504731\pi\) | |||||||
\(762\) | 0.288861 | + | 1.70247i | 0.0104643 | + | 0.0616741i | ||||
\(763\) | −5.50881 | − | 26.3872i | −0.199432 | − | 0.955280i | ||||
\(764\) | −5.70456 | − | 7.85165i | −0.206384 | − | 0.284063i | ||||
\(765\) | 0.128280 | + | 5.83461i | 0.00463798 | + | 0.210951i | ||||
\(766\) | −2.71346 | + | 0.881656i | −0.0980412 | + | 0.0318555i | ||||
\(767\) | 44.5606 | + | 14.4786i | 1.60899 | + | 0.522793i | ||||
\(768\) | 0.252133 | − | 1.71360i | 0.00909808 | − | 0.0618343i | ||||
\(769\) | 46.6841i | 1.68347i | 0.539889 | + | 0.841736i | \(0.318466\pi\) | ||||
−0.539889 | + | 0.841736i | \(0.681534\pi\) | |||||||
\(770\) | −1.94214 | − | 8.67976i | −0.0699899 | − | 0.312797i | ||||
\(771\) | 21.0763 | + | 40.2644i | 0.759046 | + | 1.45009i | ||||
\(772\) | −2.82361 | − | 2.05147i | −0.101624 | − | 0.0738342i | ||||
\(773\) | −10.8127 | + | 33.2781i | −0.388906 | + | 1.19693i | 0.544701 | + | 0.838630i | \(0.316643\pi\) |
−0.933607 | + | 0.358299i | \(0.883357\pi\) | |||||||
\(774\) | 6.15754 | − | 20.4716i | 0.221328 | − | 0.735835i | ||||
\(775\) | −8.53622 | − | 11.7491i | −0.306630 | − | 0.422040i | ||||
\(776\) | −9.29051 | + | 6.74995i | −0.333510 | + | 0.242309i | ||||
\(777\) | −17.9082 | + | 14.7214i | −0.642452 | + | 0.528128i | ||||
\(778\) | 4.54185 | − | 13.9784i | 0.162833 | − | 0.501149i | ||||
\(779\) | 17.3343 | − | 23.8587i | 0.621067 | − | 0.854825i | ||||
\(780\) | 7.90298 | − | 4.13681i | 0.282972 | − | 0.148121i | ||||
\(781\) | −23.3920 | + | 17.5124i | −0.837032 | + | 0.626643i | ||||
\(782\) | 10.0036 | 0.357727 | ||||||||
\(783\) | 1.94508 | − | 2.07778i | 0.0695117 | − | 0.0742539i | ||||
\(784\) | 3.54389 | − | 6.03663i | 0.126567 | − | 0.215594i | ||||
\(785\) | −5.72933 | + | 1.86157i | −0.204488 | + | 0.0664423i | ||||
\(786\) | 6.20595 | − | 12.5181i | 0.221359 | − | 0.446507i | ||||
\(787\) | −25.4599 | − | 35.0425i | −0.907546 | − | 1.24913i | −0.967998 | − | 0.250959i | \(-0.919254\pi\) |
0.0604520 | − | 0.998171i | \(-0.480746\pi\) | |||||||
\(788\) | 9.49972 | − | 3.08665i | 0.338413 | − | 0.109957i | ||||
\(789\) | 3.48572 | + | 20.5439i | 0.124095 | + | 0.731383i | ||||
\(790\) | −1.54688 | + | 2.12910i | −0.0550356 | + | 0.0757500i | ||||
\(791\) | −2.29038 | + | 21.0565i | −0.0814365 | + | 0.748683i | ||||
\(792\) | 0.361097 | + | 9.94332i | 0.0128310 | + | 0.353320i | ||||
\(793\) | 43.7840 | 1.55482 | ||||||||
\(794\) | 15.4414 | + | 11.2188i | 0.547995 | + | 0.398142i | ||||
\(795\) | −4.14944 | − | 24.4557i | −0.147165 | − | 0.867354i | ||||
\(796\) | 8.50800 | − | 2.76442i | 0.301558 | − | 0.0979821i | ||||
\(797\) | 30.9608 | − | 22.4943i | 1.09669 | − | 0.796791i | 0.116172 | − | 0.993229i | \(-0.462938\pi\) |
0.980516 | + | 0.196438i | \(0.0629376\pi\) | |||||||
\(798\) | 31.8991 | + | 20.3831i | 1.12922 | + | 0.721555i | ||||
\(799\) | −5.00888 | − | 15.4158i | −0.177202 | − | 0.545370i | ||||
\(800\) | 3.77816 | + | 1.22760i | 0.133578 | + | 0.0434022i | ||||
\(801\) | −43.7483 | + | 15.2857i | −1.54577 | + | 0.540095i | ||||
\(802\) | 23.9256 | 0.844842 | ||||||||
\(803\) | −2.80976 | − | 8.24405i | −0.0991545 | − | 0.290926i | ||||
\(804\) | 5.14143 | + | 9.82222i | 0.181324 | + | 0.346403i | ||||
\(805\) | 9.39083 | − | 10.3538i | 0.330983 | − | 0.364923i | ||||
\(806\) | −17.6654 | − | 5.73983i | −0.622236 | − | 0.202177i | ||||
\(807\) | −6.91085 | + | 7.06446i | −0.243273 | + | 0.248681i | ||||
\(808\) | −5.37673 | − | 7.40043i | −0.189153 | − | 0.260346i | ||||
\(809\) | −13.8544 | − | 19.0689i | −0.487094 | − | 0.670427i | 0.492755 | − | 0.870168i | \(-0.335990\pi\) |
−0.979849 | + | 0.199741i | \(0.935990\pi\) | |||||||
\(810\) | −5.68125 | − | 7.13745i | −0.199619 | − | 0.250784i | ||||
\(811\) | 28.0236 | + | 9.10542i | 0.984042 | + | 0.319735i | 0.756471 | − | 0.654027i | \(-0.226922\pi\) |
0.227571 | + | 0.973762i | \(0.426922\pi\) | |||||||
\(812\) | −0.973594 | + | 1.07343i | −0.0341665 | + | 0.0376700i | ||||
\(813\) | 46.5475 | − | 24.3652i | 1.63249 | − | 0.854526i | ||||
\(814\) | −4.95576 | + | 16.0296i | −0.173699 | + | 0.561837i | ||||
\(815\) | −17.3261 | −0.606906 | ||||||||
\(816\) | −0.483900 | + | 3.28878i | −0.0169399 | + | 0.115130i | ||||
\(817\) | −55.9835 | − | 18.1902i | −1.95862 | − | 0.636393i | ||||
\(818\) | −9.67637 | − | 29.7808i | −0.338326 | − | 1.04126i | ||||
\(819\) | −40.1784 | − | 3.47864i | −1.40395 | − | 0.121554i | ||||
\(820\) | 2.92752 | − | 2.12697i | 0.102233 | − | 0.0742769i | ||||
\(821\) | −52.4193 | + | 17.0321i | −1.82945 | + | 0.594423i | −0.830126 | + | 0.557576i | \(0.811732\pi\) |
−0.999321 | + | 0.0368475i | \(0.988268\pi\) | |||||||
\(822\) | 29.7092 | − | 5.04081i | 1.03623 | − | 0.175818i | ||||
\(823\) | −26.2208 | − | 19.0505i | −0.914000 | − | 0.664060i | 0.0280236 | − | 0.999607i | \(-0.491079\pi\) |
−0.942023 | + | 0.335548i | \(0.891079\pi\) | |||||||
\(824\) | −8.52382 | −0.296941 | ||||||||
\(825\) | −22.6230 | − | 2.99843i | −0.787631 | − | 0.104392i | ||||
\(826\) | −2.63826 | + | 24.2547i | −0.0917966 | + | 0.843929i | ||||
\(827\) | 21.0028 | − | 28.9079i | 0.730340 | − | 1.00523i | −0.268777 | − | 0.963203i | \(-0.586619\pi\) |
0.999117 | − | 0.0420242i | \(-0.0133807\pi\) | |||||||
\(828\) | −12.4455 | + | 9.46700i | −0.432509 | + | 0.329001i | ||||
\(829\) | 16.6075 | − | 5.39611i | 0.576803 | − | 0.187415i | −0.00606465 | − | 0.999982i | \(-0.501930\pi\) |
0.582868 | + | 0.812567i | \(0.301930\pi\) | |||||||
\(830\) | −7.59780 | − | 10.4575i | −0.263723 | − | 0.362984i | ||||
\(831\) | −32.6026 | − | 16.1630i | −1.13097 | − | 0.560687i | ||||
\(832\) | 4.83226 | − | 1.57010i | 0.167529 | − | 0.0544333i | ||||
\(833\) | −6.80150 | + | 11.5856i | −0.235658 | + | 0.401418i | ||||
\(834\) | −0.122243 | + | 0.830811i | −0.00423292 | + | 0.0287686i | ||||
\(835\) | −9.97052 | −0.345044 | ||||||||
\(836\) | 27.3948 | − | 0.392241i | 0.947471 | − | 0.0135659i | ||||
\(837\) | −2.35142 | + | 18.8496i | −0.0812771 | + | 0.651536i | ||||
\(838\) | 2.08405 | − | 2.86845i | 0.0719924 | − | 0.0990890i | ||||
\(839\) | 0.0414202 | − | 0.127478i | 0.00142998 | − | 0.00440104i | −0.950339 | − | 0.311217i | \(-0.899264\pi\) |
0.951769 | + | 0.306816i | \(0.0992635\pi\) | |||||||
\(840\) | 2.94966 | + | 3.58817i | 0.101773 | + | 0.123804i | ||||
\(841\) | −23.2188 | + | 16.8694i | −0.800647 | + | 0.581704i | ||||
\(842\) | 21.4325 | + | 29.4993i | 0.738612 | + | 1.01661i | ||||
\(843\) | 15.3882 | + | 15.0536i | 0.529998 | + | 0.518473i | ||||
\(844\) | −3.05208 | + | 9.39334i | −0.105057 | + | 0.323332i | ||||
\(845\) | 10.5094 | + | 7.63555i | 0.361536 | + | 0.262671i | ||||
\(846\) | 20.8204 | + | 14.4385i | 0.715822 | + | 0.496407i | ||||
\(847\) | 6.76082 | + | 28.3071i | 0.232305 | + | 0.972643i | ||||
\(848\) | − | 14.1290i | − | 0.485192i | ||||||
\(849\) | 9.58860 | + | 1.41083i | 0.329080 | + | 0.0484197i | ||||
\(850\) | −7.25113 | − | 2.35603i | −0.248712 | − | 0.0808113i | ||||
\(851\) | −25.0775 | + | 8.14819i | −0.859647 | + | 0.279316i | ||||
\(852\) | 6.77813 | − | 13.6723i | 0.232215 | − | 0.468404i | ||||
\(853\) | −16.8800 | − | 23.2333i | −0.577960 | − | 0.795493i | 0.415510 | − | 0.909589i | \(-0.363603\pi\) |
−0.993470 | + | 0.114095i | \(0.963603\pi\) | |||||||
\(854\) | 4.65931 | + | 22.3181i | 0.159438 | + | 0.763709i | ||||
\(855\) | −19.9926 | + | 15.2079i | −0.683731 | + | 0.520100i | ||||
\(856\) | −1.44204 | − | 1.04771i | −0.0492881 | − | 0.0358099i | ||||
\(857\) | 3.42384 | 0.116956 | 0.0584781 | − | 0.998289i | \(-0.481375\pi\) | ||||
0.0584781 | + | 0.998289i | \(0.481375\pi\) | |||||||
\(858\) | −25.6629 | + | 13.9048i | −0.876115 | + | 0.474704i | ||||
\(859\) | 34.7965i | 1.18724i | 0.804745 | + | 0.593621i | \(0.202302\pi\) | ||||
−0.804745 | + | 0.593621i | \(0.797698\pi\) | |||||||
\(860\) | −5.84339 | − | 4.24547i | −0.199258 | − | 0.144769i | ||||
\(861\) | −16.3307 | + | 0.976497i | −0.556550 | + | 0.0332789i | ||||
\(862\) | −3.82103 | − | 11.7599i | −0.130145 | − | 0.400545i | ||||
\(863\) | 23.7530 | + | 32.6933i | 0.808563 | + | 1.11289i | 0.991543 | + | 0.129775i | \(0.0414255\pi\) |
−0.182980 | + | 0.983117i | \(0.558574\pi\) | |||||||
\(864\) | −2.51036 | − | 4.54952i | −0.0854041 | − | 0.154778i | ||||
\(865\) | −6.73514 | − | 20.7286i | −0.229002 | − | 0.704794i | ||||
\(866\) | −0.466458 | + | 1.43561i | −0.0158509 | + | 0.0487840i | ||||
\(867\) | −3.35756 | + | 22.8193i | −0.114029 | + | 0.774985i | ||||
\(868\) | 1.04590 | − | 9.61540i | 0.0355000 | − | 0.326368i | ||||
\(869\) | 4.96128 | − | 7.03836i | 0.168300 | − | 0.238760i | ||||
\(870\) | −0.445960 | − | 0.851965i | −0.0151195 | − | 0.0288843i | ||||
\(871\) | −19.1160 | + | 26.3109i | −0.647720 | + | 0.891510i | ||||
\(872\) | 9.68978 | + | 3.14840i | 0.328137 | + | 0.106618i | ||||
\(873\) | −9.92321 | + | 32.9910i | −0.335850 | + | 1.11658i | ||||
\(874\) | 25.3085 | + | 34.8341i | 0.856072 | + | 1.17828i | ||||
\(875\) | −20.8821 | + | 11.9555i | −0.705944 | + | 0.404170i | ||||
\(876\) | 3.25143 | + | 3.18073i | 0.109856 | + | 0.107467i | ||||
\(877\) | 8.31993 | − | 25.6061i | 0.280944 | − | 0.864657i | −0.706641 | − | 0.707572i | \(-0.749790\pi\) |
0.987585 | − | 0.157085i | \(-0.0502096\pi\) | |||||||
\(878\) | −10.3634 | − | 7.52947i | −0.349749 | − | 0.254107i | ||||
\(879\) | −23.6288 | − | 45.1406i | −0.796979 | − | 1.52255i | ||||
\(880\) | 3.21177 | + | 0.992962i | 0.108269 | + | 0.0334727i | ||||
\(881\) | 23.1397 | 0.779596 | 0.389798 | − | 0.920900i | \(-0.372545\pi\) | ||||
0.389798 | + | 0.920900i | \(0.372545\pi\) | |||||||
\(882\) | −2.50244 | − | 20.8504i | −0.0842616 | − | 0.702068i | ||||
\(883\) | −10.5821 | + | 32.5683i | −0.356115 | + | 1.09601i | 0.599245 | + | 0.800566i | \(0.295468\pi\) |
−0.955360 | + | 0.295444i | \(0.904532\pi\) | |||||||
\(884\) | −9.27418 | + | 3.01336i | −0.311924 | + | 0.101350i | ||||
\(885\) | −14.5048 | − | 7.19087i | −0.487574 | − | 0.241718i | ||||
\(886\) | −16.6554 | + | 12.1009i | −0.559550 | + | 0.406537i | ||||
\(887\) | −8.12304 | − | 25.0002i | −0.272745 | − | 0.839423i | −0.989807 | − | 0.142414i | \(-0.954514\pi\) |
0.717062 | − | 0.697009i | \(-0.245486\pi\) | |||||||
\(888\) | −1.46573 | − | 8.63865i | −0.0491868 | − | 0.289894i | ||||
\(889\) | −1.95381 | − | 1.77209i | −0.0655286 | − | 0.0594340i | ||||
\(890\) | 15.6575i | 0.524841i | ||||||||
\(891\) | 18.9220 | + | 23.0859i | 0.633912 | + | 0.773405i | ||||
\(892\) | − | 1.57697i | − | 0.0528009i | ||||||
\(893\) | 41.0081 | − | 56.4428i | 1.37228 | − | 1.88879i | ||||
\(894\) | 9.74403 | − | 1.65328i | 0.325889 | − | 0.0552941i | ||||
\(895\) | −17.2072 | + | 5.59094i | −0.575172 | + | 0.186885i | ||||
\(896\) | 1.31456 | + | 2.29607i | 0.0439162 | + | 0.0767064i | ||||
\(897\) | −41.0975 | − | 20.3744i | −1.37220 | − | 0.680280i | ||||
\(898\) | −3.72765 | − | 11.4725i | −0.124393 | − | 0.382843i | ||||
\(899\) | −0.618771 | + | 1.90438i | −0.0206372 | + | 0.0635146i | ||||
\(900\) | 11.2508 | − | 3.93105i | 0.375027 | − | 0.131035i | ||||
\(901\) | 27.1167i | 0.903388i | ||||||||
\(902\) | −9.47850 | + | 7.09606i | −0.315599 | + | 0.236273i | ||||
\(903\) | 11.9266 | + | 30.3989i | 0.396892 | + | 1.01161i | ||||
\(904\) | −6.47663 | − | 4.70555i | −0.215409 | − | 0.156504i | ||||
\(905\) | 7.75010 | + | 2.51816i | 0.257622 | + | 0.0837065i | ||||
\(906\) | −7.48738 | − | 7.32457i | −0.248751 | − | 0.243342i | ||||
\(907\) | 10.4744 | − | 7.61012i | 0.347798 | − | 0.252690i | −0.400147 | − | 0.916451i | \(-0.631041\pi\) |
0.747945 | + | 0.663761i | \(0.231041\pi\) | |||||||
\(908\) | −1.22971 | + | 0.893440i | −0.0408095 | + | 0.0296498i | ||||
\(909\) | −26.2793 | − | 7.90441i | −0.871629 | − | 0.262173i | ||||
\(910\) | −5.58725 | + | 12.4277i | −0.185216 | + | 0.411973i | ||||
\(911\) | −11.9218 | + | 16.4090i | −0.394988 | + | 0.543655i | −0.959477 | − | 0.281786i | \(-0.909073\pi\) |
0.564489 | + | 0.825441i | \(0.309073\pi\) | |||||||
\(912\) | −12.6763 | + | 6.63540i | −0.419755 | + | 0.219720i | ||||
\(913\) | 25.3481 | + | 33.8584i | 0.838898 | + | 1.12055i | ||||
\(914\) | 8.06842i | 0.266880i | ||||||||
\(915\) | −14.9676 | − | 2.20228i | −0.494814 | − | 0.0728052i | ||||
\(916\) | 10.4763 | + | 3.40396i | 0.346147 | + | 0.112470i | ||||
\(917\) | 4.36163 | + | 20.8922i | 0.144034 | + | 0.689921i | ||||
\(918\) | 4.81793 | + | 8.73153i | 0.159015 | + | 0.288183i | ||||
\(919\) | 34.7816 | − | 25.2703i | 1.14734 | − | 0.833591i | 0.159215 | − | 0.987244i | \(-0.449104\pi\) |
0.988125 | + | 0.153653i | \(0.0491037\pi\) | |||||||
\(920\) | 1.63261 | + | 5.02466i | 0.0538256 | + | 0.165658i | ||||
\(921\) | −1.25060 | − | 7.37074i | −0.0412088 | − | 0.242874i | ||||
\(922\) | 6.23127 | − | 8.57660i | 0.205216 | − | 0.282455i | ||||
\(923\) | 44.7656 | 1.47348 | ||||||||
\(924\) | −9.81866 | − | 11.6015i | −0.323010 | − | 0.381660i | ||||
\(925\) | 20.0966 | 0.660773 | ||||||||
\(926\) | 2.31897 | − | 3.19179i | 0.0762062 | − | 0.104889i | ||||
\(927\) | −20.3524 | + | 15.4816i | −0.668459 | + | 0.508483i | ||||
\(928\) | −0.169261 | − | 0.520932i | −0.00555627 | − | 0.0171004i | ||||
\(929\) | −7.71023 | + | 5.60181i | −0.252965 | + | 0.183790i | −0.707040 | − | 0.707174i | \(-0.749970\pi\) |
0.454075 | + | 0.890963i | \(0.349970\pi\) | |||||||
\(930\) | 5.75021 | + | 2.85071i | 0.188557 | + | 0.0934784i | ||||
\(931\) | −57.5505 | + | 5.62700i | −1.88614 | + | 0.184417i | ||||
\(932\) | 9.06917 | + | 2.94675i | 0.297070 | + | 0.0965240i | ||||
\(933\) | 2.25226 | − | 15.3073i | 0.0737357 | − | 0.501138i | ||||
\(934\) | − | 1.04712i | − | 0.0342627i | ||||||
\(935\) | −6.16410 | − | 1.90571i | −0.201587 | − | 0.0623235i | ||||
\(936\) | 8.68628 | − | 12.5257i | 0.283920 | − | 0.409414i | ||||
\(937\) | 0.370676 | − | 0.510192i | 0.0121095 | − | 0.0166672i | −0.802919 | − | 0.596088i | \(-0.796721\pi\) |
0.815029 | + | 0.579420i | \(0.196721\pi\) | |||||||
\(938\) | −15.4457 | − | 6.94411i | −0.504320 | − | 0.226733i | ||||
\(939\) | 0.637829 | + | 0.623959i | 0.0208148 | + | 0.0203621i | ||||
\(940\) | 6.92567 | − | 5.03179i | 0.225890 | − | 0.164119i | ||||
\(941\) | −12.0898 | + | 8.78376i | −0.394117 | + | 0.286342i | −0.767140 | − | 0.641479i | \(-0.778321\pi\) |
0.373024 | + | 0.927822i | \(0.378321\pi\) | |||||||
\(942\) | −7.19857 | + | 7.35857i | −0.234542 | + | 0.239755i | ||||
\(943\) | −17.6973 | − | 5.75021i | −0.576304 | − | 0.187253i | ||||
\(944\) | −7.46034 | − | 5.42025i | −0.242813 | − | 0.176414i | ||||
\(945\) | 13.5600 | + | 3.21010i | 0.441108 | + | 0.104424i | ||||
\(946\) | 19.3171 | + | 13.6164i | 0.628052 | + | 0.442708i | ||||
\(947\) | − | 21.9105i | − | 0.711996i | −0.934487 | − | 0.355998i | \(-0.884141\pi\) | ||
0.934487 | − | 0.355998i | \(-0.115859\pi\) | |||||||
\(948\) | −0.654633 | + | 4.44915i | −0.0212615 | + | 0.144502i | ||||
\(949\) | −4.12320 | + | 12.6899i | −0.133845 | + | 0.411931i | ||||
\(950\) | −10.1408 | − | 31.2103i | −0.329012 | − | 1.01260i | ||||
\(951\) | 3.20913 | − | 6.47318i | 0.104063 | − | 0.209907i | ||||
\(952\) | −2.52292 | − | 4.40667i | −0.0817684 | − | 0.142821i | ||||
\(953\) | 17.6213 | − | 5.72551i | 0.570810 | − | 0.185467i | −0.00936930 | − | 0.999956i | \(-0.502982\pi\) |
0.580180 | + | 0.814489i | \(0.302982\pi\) | |||||||
\(954\) | −25.6622 | − | 33.7359i | −0.830845 | − | 1.09224i | ||||
\(955\) | −5.78219 | + | 7.95851i | −0.187107 | + | 0.257531i | ||||
\(956\) | 2.79289i | 0.0903287i | ||||||||
\(957\) | 1.49898 | + | 2.76653i | 0.0484553 | + | 0.0894293i | ||||
\(958\) | 24.5072i | 0.791792i | ||||||||
\(959\) | −30.9241 | + | 34.0951i | −0.998590 | + | 1.10099i | ||||
\(960\) | −1.73088 | + | 0.293682i | −0.0558641 | + | 0.00947854i | ||||
\(961\) | 5.44975 | + | 16.7726i | 0.175798 | + | 0.541051i | ||||
\(962\) | 20.7946 | − | 15.1082i | 0.670444 | − | 0.487106i | ||||
\(963\) | −5.34610 | + | 0.117540i | −0.172276 | + | 0.00378767i | ||||
\(964\) | −20.5094 | + | 6.66391i | −0.660564 | + | 0.214630i | ||||
\(965\) | −1.09320 | + | 3.36453i | −0.0351914 | + | 0.108308i | ||||
\(966\) | 6.01203 | − | 23.1168i | 0.193434 | − | 0.743771i | ||||
\(967\) | −22.7786 | −0.732510 | −0.366255 | − | 0.930515i | \(-0.619360\pi\) | ||||
−0.366255 | + | 0.930515i | \(0.619360\pi\) | |||||||
\(968\) | −10.5547 | − | 3.09827i | −0.339239 | − | 0.0995823i | ||||
\(969\) | 24.3287 | − | 12.7348i | 0.781549 | − | 0.409101i | ||||
\(970\) | 9.41695 | + | 6.84181i | 0.302360 | + | 0.219677i | ||||
\(971\) | 5.68625 | − | 17.5005i | 0.182480 | − | 0.561617i | −0.817416 | − | 0.576048i | \(-0.804594\pi\) |
0.999896 | + | 0.0144318i | \(0.00459395\pi\) | |||||||
\(972\) | −14.2572 | − | 6.30340i | −0.457299 | − | 0.202182i | ||||
\(973\) | −0.637341 | − | 1.11321i | −0.0204322 | − | 0.0356880i | ||||
\(974\) | −10.6992 | − | 14.7261i | −0.342823 | − | 0.471855i | ||||
\(975\) | 24.9911 | + | 24.4477i | 0.800356 | + | 0.782953i | ||||
\(976\) | −8.19555 | − | 2.66290i | −0.262333 | − | 0.0852372i | ||||
\(977\) | −23.2927 | + | 32.0596i | −0.745198 | + | 1.02568i | 0.253104 | + | 0.967439i | \(0.418548\pi\) |
−0.998303 | + | 0.0582385i | \(0.981452\pi\) | |||||||
\(978\) | −26.2305 | + | 13.7303i | −0.838758 | + | 0.439047i | ||||
\(979\) | −0.733480 | − | 51.2276i | −0.0234421 | − | 1.63724i | ||||
\(980\) | −6.92933 | − | 1.52550i | −0.221349 | − | 0.0487302i | ||||
\(981\) | 28.8547 | − | 10.0819i | 0.921260 | − | 0.321890i | ||||
\(982\) | 6.53274 | − | 20.1057i | 0.208468 | − | 0.641599i | ||||
\(983\) | −2.54006 | − | 7.81751i | −0.0810155 | − | 0.249340i | 0.902342 | − | 0.431020i | \(-0.141846\pi\) |
−0.983358 | + | 0.181681i | \(0.941846\pi\) | |||||||
\(984\) | 2.74651 | − | 5.54003i | 0.0875556 | − | 0.176610i | ||||
\(985\) | −5.95105 | − | 8.19092i | −0.189616 | − | 0.260984i | ||||
\(986\) | 0.324850 | + | 0.999784i | 0.0103453 | + | 0.0318396i | ||||
\(987\) | −38.6339 | + | 2.31011i | −1.22973 | + | 0.0735317i | ||||
\(988\) | −33.9562 | − | 24.6706i | −1.08029 | − | 0.784877i | ||||
\(989\) | 37.1422i | 1.18105i | ||||||||
\(990\) | 9.47225 | − | 3.46257i | 0.301048 | − | 0.110048i | ||||
\(991\) | −23.5798 | −0.749038 | −0.374519 | − | 0.927219i | \(-0.622192\pi\) | ||||
−0.374519 | + | 0.927219i | \(0.622192\pi\) | |||||||
\(992\) | 2.95754 | + | 2.14878i | 0.0939019 | + | 0.0682237i | ||||
\(993\) | −11.0288 | + | 1.87127i | −0.349988 | + | 0.0593830i | ||||
\(994\) | 4.76376 | + | 22.8184i | 0.151097 | + | 0.723756i | ||||
\(995\) | −5.32979 | − | 7.33583i | −0.168966 | − | 0.232561i | ||||
\(996\) | −19.7897 | − | 9.81089i | −0.627061 | − | 0.310870i | ||||
\(997\) | −29.8354 | + | 9.69412i | −0.944898 | + | 0.307016i | −0.740641 | − | 0.671901i | \(-0.765478\pi\) |
−0.204257 | + | 0.978917i | \(0.565478\pi\) | |||||||
\(998\) | 11.6752 | + | 3.79351i | 0.369572 | + | 0.120081i | ||||
\(999\) | −19.1899 | − | 17.9644i | −0.607143 | − | 0.568368i |
(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 | 462.2.s.a.125.15 | yes | 128 | |
3.2 | odd | 2 | inner | 462.2.s.a.125.27 | yes | 128 | |
7.6 | odd | 2 | inner | 462.2.s.a.125.2 | ✓ | 128 | |
11.3 | even | 5 | inner | 462.2.s.a.377.22 | yes | 128 | |
21.20 | even | 2 | inner | 462.2.s.a.125.22 | yes | 128 | |
33.14 | odd | 10 | inner | 462.2.s.a.377.2 | yes | 128 | |
77.69 | odd | 10 | inner | 462.2.s.a.377.27 | yes | 128 | |
231.146 | even | 10 | inner | 462.2.s.a.377.15 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.s.a.125.2 | ✓ | 128 | 7.6 | odd | 2 | inner | |
462.2.s.a.125.15 | yes | 128 | 1.1 | even | 1 | trivial | |
462.2.s.a.125.22 | yes | 128 | 21.20 | even | 2 | inner | |
462.2.s.a.125.27 | yes | 128 | 3.2 | odd | 2 | inner | |
462.2.s.a.377.2 | yes | 128 | 33.14 | odd | 10 | inner | |
462.2.s.a.377.15 | yes | 128 | 231.146 | even | 10 | inner | |
462.2.s.a.377.22 | yes | 128 | 11.3 | even | 5 | inner | |
462.2.s.a.377.27 | yes | 128 | 77.69 | odd | 10 | inner |