Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [750,2,Mod(19,750)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(750, base_ring=CyclotomicField(50))
chi = DirichletCharacter(H, H._module([0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("750.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 750 = 2 \cdot 3 \cdot 5^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 750.o (of order \(50\), degree \(20\), 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: | \(5.98878015160\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{50})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{50}]$ |
Embedding invariants
Embedding label | 469.8 | ||
Character | \(\chi\) | \(=\) | 750.469 |
Dual form | 750.2.o.a.379.8 |
$q$-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 \(\left(\mathbb{Z}/750\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(251\) |
\(\chi(n)\) | \(e\left(\frac{49}{50}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.998027 | − | 0.0627905i | 0.705711 | − | 0.0443996i | ||||
\(3\) | −0.904827 | + | 0.425779i | −0.522402 | + | 0.245824i | ||||
\(4\) | 0.992115 | − | 0.125333i | 0.496057 | − | 0.0626666i | ||||
\(5\) | −1.43594 | − | 1.71408i | −0.642174 | − | 0.766559i | ||||
\(6\) | −0.876307 | + | 0.481754i | −0.357751 | + | 0.196675i | ||||
\(7\) | 1.49962 | + | 2.06405i | 0.566803 | + | 0.780137i | 0.992171 | − | 0.124883i | \(-0.0398555\pi\) |
−0.425369 | + | 0.905020i | \(0.639856\pi\) | |||||||
\(8\) | 0.982287 | − | 0.187381i | 0.347291 | − | 0.0662493i | ||||
\(9\) | 0.637424 | − | 0.770513i | 0.212475 | − | 0.256838i | ||||
\(10\) | −1.54074 | − | 1.62053i | −0.487224 | − | 0.512457i | ||||
\(11\) | −0.289561 | − | 4.60244i | −0.0873060 | − | 1.38769i | −0.761035 | − | 0.648711i | \(-0.775309\pi\) |
0.673729 | − | 0.738978i | \(-0.264691\pi\) | |||||||
\(12\) | −0.844328 | + | 0.535827i | −0.243736 | + | 0.154680i | ||||
\(13\) | 2.46349 | + | 2.03798i | 0.683251 | + | 0.565234i | 0.912972 | − | 0.408022i | \(-0.133781\pi\) |
−0.229721 | + | 0.973256i | \(0.573781\pi\) | |||||||
\(14\) | 1.62626 | + | 1.96581i | 0.434637 | + | 0.525386i | ||||
\(15\) | 2.02910 | + | 0.939549i | 0.523911 | + | 0.242590i | ||||
\(16\) | 0.968583 | − | 0.248690i | 0.242146 | − | 0.0621725i | ||||
\(17\) | 0.389358 | − | 3.08208i | 0.0944331 | − | 0.747515i | −0.871803 | − | 0.489857i | \(-0.837049\pi\) |
0.966236 | − | 0.257658i | \(-0.0829509\pi\) | |||||||
\(18\) | 0.587785 | − | 0.809017i | 0.138542 | − | 0.190687i | ||||
\(19\) | 1.05471 | − | 2.24137i | 0.241967 | − | 0.514206i | −0.746547 | − | 0.665332i | \(-0.768290\pi\) |
0.988515 | + | 0.151126i | \(0.0482899\pi\) | |||||||
\(20\) | −1.63945 | − | 1.52059i | −0.366593 | − | 0.340014i | ||||
\(21\) | −2.23573 | − | 1.22910i | −0.487875 | − | 0.268212i | ||||
\(22\) | −0.577980 | − | 4.57518i | −0.123226 | − | 0.975432i | ||||
\(23\) | 0.146045 | + | 0.368869i | 0.0304526 | + | 0.0769144i | 0.944207 | − | 0.329352i | \(-0.106830\pi\) |
−0.913755 | + | 0.406267i | \(0.866830\pi\) | |||||||
\(24\) | −0.809017 | + | 0.587785i | −0.165140 | + | 0.119981i | ||||
\(25\) | −0.876126 | + | 4.92264i | −0.175225 | + | 0.984528i | ||||
\(26\) | 2.58660 | + | 1.87927i | 0.507274 | + | 0.368556i | ||||
\(27\) | −0.248690 | + | 0.968583i | −0.0478604 | + | 0.186404i | ||||
\(28\) | 1.74649 | + | 1.85982i | 0.330055 | + | 0.351473i | ||||
\(29\) | 5.99115 | − | 5.62606i | 1.11253 | − | 1.04473i | 0.113842 | − | 0.993499i | \(-0.463684\pi\) |
0.998687 | − | 0.0512350i | \(-0.0163157\pi\) | |||||||
\(30\) | 2.08409 | + | 0.810286i | 0.380501 | + | 0.147937i | ||||
\(31\) | 8.06219 | + | 1.01849i | 1.44801 | + | 0.182927i | 0.809697 | − | 0.586848i | \(-0.199631\pi\) |
0.638316 | + | 0.769775i | \(0.279631\pi\) | |||||||
\(32\) | 0.951057 | − | 0.309017i | 0.168125 | − | 0.0546270i | ||||
\(33\) | 2.22163 | + | 4.04113i | 0.386736 | + | 0.703470i | ||||
\(34\) | 0.195064 | − | 3.10045i | 0.0334532 | − | 0.531723i | ||||
\(35\) | 1.38457 | − | 5.53433i | 0.234035 | − | 0.935472i | ||||
\(36\) | 0.535827 | − | 0.844328i | 0.0893045 | − | 0.140721i | ||||
\(37\) | −1.74014 | − | 6.77739i | −0.286077 | − | 1.11420i | −0.935374 | − | 0.353661i | \(-0.884937\pi\) |
0.649297 | − | 0.760535i | \(-0.275063\pi\) | |||||||
\(38\) | 0.911892 | − | 2.30318i | 0.147928 | − | 0.373625i | ||||
\(39\) | −3.09677 | − | 0.795115i | −0.495880 | − | 0.127320i | ||||
\(40\) | −1.73170 | − | 1.41465i | −0.273805 | − | 0.223675i | ||||
\(41\) | −2.24812 | − | 0.890093i | −0.351097 | − | 0.139009i | 0.185955 | − | 0.982558i | \(-0.440462\pi\) |
−0.537052 | + | 0.843549i | \(0.680462\pi\) | |||||||
\(42\) | −2.30849 | − | 1.08629i | −0.356208 | − | 0.167619i | ||||
\(43\) | 0.383833 | + | 0.124715i | 0.0585340 | + | 0.0190188i | 0.338138 | − | 0.941097i | \(-0.390203\pi\) |
−0.279604 | + | 0.960116i | \(0.590203\pi\) | |||||||
\(44\) | −0.864117 | − | 4.52986i | −0.130271 | − | 0.682902i | ||||
\(45\) | −2.23603 | + | 0.0138199i | −0.333327 | + | 0.00206015i | ||||
\(46\) | 0.168919 | + | 0.358970i | 0.0249057 | + | 0.0529273i | ||||
\(47\) | 9.21716 | + | 1.75827i | 1.34446 | + | 0.256470i | 0.808860 | − | 0.588002i | \(-0.200085\pi\) |
0.535601 | + | 0.844471i | \(0.320085\pi\) | |||||||
\(48\) | −0.770513 | + | 0.637424i | −0.111214 | + | 0.0920042i | ||||
\(49\) | 0.151678 | − | 0.466818i | 0.0216683 | − | 0.0666882i | ||||
\(50\) | −0.565302 | + | 4.96794i | −0.0799458 | + | 0.702573i | ||||
\(51\) | 0.959986 | + | 2.95453i | 0.134425 | + | 0.413717i | ||||
\(52\) | 2.69950 | + | 1.71315i | 0.374353 | + | 0.237571i | ||||
\(53\) | −4.36007 | + | 7.93094i | −0.598902 | + | 1.08940i | 0.387001 | + | 0.922079i | \(0.373511\pi\) |
−0.985903 | + | 0.167319i | \(0.946489\pi\) | |||||||
\(54\) | −0.187381 | + | 0.982287i | −0.0254994 | + | 0.133672i | ||||
\(55\) | −7.47315 | + | 7.10518i | −1.00768 | + | 0.958063i | ||||
\(56\) | 1.85982 | + | 1.74649i | 0.248529 | + | 0.233384i | ||||
\(57\) | 2.47713i | 0.328104i | ||||||||
\(58\) | 5.62606 | − | 5.99115i | 0.738738 | − | 0.786676i | ||||
\(59\) | −3.29531 | − | 5.19258i | −0.429013 | − | 0.676016i | 0.559212 | − | 0.829025i | \(-0.311104\pi\) |
−0.988225 | + | 0.153008i | \(0.951104\pi\) | |||||||
\(60\) | 2.13086 | + | 0.677826i | 0.275092 | + | 0.0875070i | ||||
\(61\) | −9.34956 | + | 3.70175i | −1.19709 | + | 0.473961i | −0.880246 | − | 0.474518i | \(-0.842622\pi\) |
−0.316842 | + | 0.948478i | \(0.602622\pi\) | |||||||
\(62\) | 8.11024 | + | 0.510253i | 1.03000 | + | 0.0648022i | ||||
\(63\) | 2.54627 | + | 0.160198i | 0.320800 | + | 0.0201830i | ||||
\(64\) | 0.929776 | − | 0.368125i | 0.116222 | − | 0.0460156i | ||||
\(65\) | −0.0441852 | − | 7.14905i | −0.00548050 | − | 0.886730i | ||||
\(66\) | 2.47099 | + | 3.89365i | 0.304158 | + | 0.479276i | ||||
\(67\) | 0.826201 | − | 0.879815i | 0.100937 | − | 0.107486i | −0.676517 | − | 0.736427i | \(-0.736511\pi\) |
0.777453 | + | 0.628941i | \(0.216511\pi\) | |||||||
\(68\) | − | 3.10658i | − | 0.376728i | ||||||
\(69\) | −0.289202 | − | 0.271579i | −0.0348159 | − | 0.0326943i | ||||
\(70\) | 1.03434 | − | 5.61034i | 0.123627 | − | 0.670564i | ||||
\(71\) | −1.40168 | + | 7.34789i | −0.166349 | + | 0.872034i | 0.797040 | + | 0.603927i | \(0.206398\pi\) |
−0.963389 | + | 0.268107i | \(0.913602\pi\) | |||||||
\(72\) | 0.481754 | − | 0.876307i | 0.0567752 | − | 0.103274i | ||||
\(73\) | −4.07345 | − | 2.58509i | −0.476761 | − | 0.302562i | 0.275647 | − | 0.961259i | \(-0.411108\pi\) |
−0.752408 | + | 0.658697i | \(0.771108\pi\) | |||||||
\(74\) | −2.16226 | − | 6.65475i | −0.251358 | − | 0.773600i | ||||
\(75\) | −1.30322 | − | 4.82718i | −0.150482 | − | 0.557394i | ||||
\(76\) | 0.765475 | − | 2.35589i | 0.0878060 | − | 0.270239i | ||||
\(77\) | 9.06544 | − | 7.49958i | 1.03310 | − | 0.854657i | ||||
\(78\) | −3.14058 | − | 0.599098i | −0.355601 | − | 0.0678345i | ||||
\(79\) | −2.40112 | − | 5.10264i | −0.270147 | − | 0.574091i | 0.723016 | − | 0.690832i | \(-0.242755\pi\) |
−0.993162 | + | 0.116740i | \(0.962755\pi\) | |||||||
\(80\) | −1.81711 | − | 1.30312i | −0.203159 | − | 0.145693i | ||||
\(81\) | −0.187381 | − | 0.982287i | −0.0208201 | − | 0.109143i | ||||
\(82\) | −2.29957 | − | 0.747176i | −0.253945 | − | 0.0825118i | ||||
\(83\) | 7.44716 | + | 3.50437i | 0.817432 | + | 0.384654i | 0.788582 | − | 0.614930i | \(-0.210816\pi\) |
0.0288497 | + | 0.999584i | \(0.490816\pi\) | |||||||
\(84\) | −2.37214 | − | 0.939198i | −0.258822 | − | 0.102475i | ||||
\(85\) | −5.84203 | + | 3.75831i | −0.633657 | + | 0.407646i | ||||
\(86\) | 0.390906 | + | 0.100368i | 0.0421525 | + | 0.0108229i | ||||
\(87\) | −3.02549 | + | 7.64152i | −0.324367 | + | 0.819257i | ||||
\(88\) | −1.14684 | − | 4.46666i | −0.122254 | − | 0.476148i | ||||
\(89\) | −9.37710 | + | 14.7759i | −0.993970 | + | 1.56625i | −0.181379 | + | 0.983413i | \(0.558056\pi\) |
−0.812592 | + | 0.582833i | \(0.801944\pi\) | |||||||
\(90\) | −2.23075 | + | 0.154194i | −0.235141 | + | 0.0162535i | ||||
\(91\) | −0.512186 | + | 8.14097i | −0.0536917 | + | 0.853406i | ||||
\(92\) | 0.191125 | + | 0.347656i | 0.0199262 | + | 0.0362456i | ||||
\(93\) | −7.72854 | + | 2.51116i | −0.801413 | + | 0.260395i | ||||
\(94\) | 9.30937 | + | 1.17605i | 0.960188 | + | 0.121300i | ||||
\(95\) | −5.35639 | + | 1.41063i | −0.549555 | + | 0.144728i | ||||
\(96\) | −0.728969 | + | 0.684547i | −0.0744000 | + | 0.0698663i | ||||
\(97\) | 2.14846 | + | 2.28788i | 0.218143 | + | 0.232299i | 0.828727 | − | 0.559652i | \(-0.189065\pi\) |
−0.610584 | + | 0.791951i | \(0.709065\pi\) | |||||||
\(98\) | 0.122067 | − | 0.475420i | 0.0123306 | − | 0.0480247i | ||||
\(99\) | −3.73082 | − | 2.71060i | −0.374961 | − | 0.272425i | ||||
\(100\) | −0.252247 | + | 4.99363i | −0.0252247 | + | 0.499363i | ||||
\(101\) | −14.0725 | + | 10.2243i | −1.40027 | + | 1.01735i | −0.405619 | + | 0.914042i | \(0.632944\pi\) |
−0.994649 | + | 0.103312i | \(0.967056\pi\) | |||||||
\(102\) | 1.14361 | + | 2.88843i | 0.113234 | + | 0.285997i | ||||
\(103\) | 1.58723 | + | 12.5642i | 0.156394 | + | 1.23799i | 0.853527 | + | 0.521048i | \(0.174459\pi\) |
−0.697133 | + | 0.716942i | \(0.745541\pi\) | |||||||
\(104\) | 2.80174 | + | 1.54027i | 0.274733 | + | 0.151036i | ||||
\(105\) | 1.10360 | + | 5.59713i | 0.107701 | + | 0.546224i | ||||
\(106\) | −3.85348 | + | 8.18907i | −0.374283 | + | 0.795392i | ||||
\(107\) | 5.73106 | − | 7.88813i | 0.554043 | − | 0.762575i | −0.436511 | − | 0.899699i | \(-0.643786\pi\) |
0.990554 | + | 0.137124i | \(0.0437860\pi\) | |||||||
\(108\) | −0.125333 | + | 0.992115i | −0.0120602 | + | 0.0954663i | ||||
\(109\) | 3.07718 | − | 0.790086i | 0.294741 | − | 0.0756765i | −0.0984241 | − | 0.995145i | \(-0.531380\pi\) |
0.393165 | + | 0.919468i | \(0.371380\pi\) | |||||||
\(110\) | −7.01227 | + | 7.56041i | −0.668594 | + | 0.720856i | ||||
\(111\) | 4.46020 | + | 5.39145i | 0.423343 | + | 0.511734i | ||||
\(112\) | 1.96581 | + | 1.62626i | 0.185752 | + | 0.153667i | ||||
\(113\) | −0.139915 | + | 0.0887930i | −0.0131621 | + | 0.00835294i | −0.542392 | − | 0.840126i | \(-0.682481\pi\) |
0.529229 | + | 0.848479i | \(0.322481\pi\) | |||||||
\(114\) | 0.155540 | + | 2.47224i | 0.0145677 | + | 0.231547i | ||||
\(115\) | 0.422556 | − | 0.780008i | 0.0394036 | − | 0.0727361i | ||||
\(116\) | 5.23877 | − | 6.33259i | 0.486408 | − | 0.587966i | ||||
\(117\) | 3.14058 | − | 0.599098i | 0.290347 | − | 0.0553866i | ||||
\(118\) | −3.61485 | − | 4.97542i | −0.332774 | − | 0.458024i | ||||
\(119\) | 6.94546 | − | 3.81830i | 0.636690 | − | 0.350023i | ||||
\(120\) | 2.16921 | + | 0.542691i | 0.198021 | + | 0.0495407i | ||||
\(121\) | −10.1854 | + | 1.28671i | −0.925943 | + | 0.116974i | ||||
\(122\) | −9.09867 | + | 4.28151i | −0.823755 | + | 0.387630i | ||||
\(123\) | 2.41314 | − | 0.151822i | 0.217586 | − | 0.0136893i | ||||
\(124\) | 8.12627 | 0.729761 | ||||||||
\(125\) | 9.69586 | − | 5.56689i | 0.867224 | − | 0.497918i | ||||
\(126\) | 2.55131 | 0.227288 | ||||||||
\(127\) | −0.190928 | + | 0.0120121i | −0.0169421 | + | 0.00106591i | −0.0712593 | − | 0.997458i | \(-0.522702\pi\) |
0.0543172 | + | 0.998524i | \(0.482702\pi\) | |||||||
\(128\) | 0.904827 | − | 0.425779i | 0.0799762 | − | 0.0376339i | ||||
\(129\) | −0.400403 | + | 0.0505827i | −0.0352536 | + | 0.00445356i | ||||
\(130\) | −0.492990 | − | 7.13217i | −0.0432381 | − | 0.625532i | ||||
\(131\) | −11.0792 | + | 6.09084i | −0.967994 | + | 0.532159i | −0.885604 | − | 0.464441i | \(-0.846255\pi\) |
−0.0823896 | + | 0.996600i | \(0.526255\pi\) | |||||||
\(132\) | 2.71060 | + | 3.73082i | 0.235927 | + | 0.324726i | ||||
\(133\) | 6.20797 | − | 1.18423i | 0.538299 | − | 0.102686i | ||||
\(134\) | 0.769327 | − | 0.929956i | 0.0664597 | − | 0.0803360i | ||||
\(135\) | 2.01733 | − | 0.964558i | 0.173624 | − | 0.0830159i | ||||
\(136\) | −0.195064 | − | 3.10045i | −0.0167266 | − | 0.265861i | ||||
\(137\) | −10.9295 | + | 6.93606i | −0.933768 | + | 0.592587i | −0.913337 | − | 0.407204i | \(-0.866504\pi\) |
−0.0204308 | + | 0.999791i | \(0.506504\pi\) | |||||||
\(138\) | −0.305684 | − | 0.252884i | −0.0260216 | − | 0.0215269i | ||||
\(139\) | −6.03257 | − | 7.29212i | −0.511676 | − | 0.618510i | 0.449890 | − | 0.893084i | \(-0.351463\pi\) |
−0.961566 | + | 0.274574i | \(0.911463\pi\) | |||||||
\(140\) | 0.680018 | − | 5.66422i | 0.0574720 | − | 0.478714i | ||||
\(141\) | −9.08857 | + | 2.33355i | −0.765395 | + | 0.196520i | ||||
\(142\) | −0.937541 | + | 7.42140i | −0.0786767 | + | 0.622790i | ||||
\(143\) | 8.66636 | − | 11.9282i | 0.724717 | − | 0.997488i | ||||
\(144\) | 0.425779 | − | 0.904827i | 0.0354816 | − | 0.0754023i | ||||
\(145\) | −18.2465 | − | 2.19058i | −1.51529 | − | 0.181918i | ||||
\(146\) | −4.22773 | − | 2.32422i | −0.349890 | − | 0.192353i | ||||
\(147\) | 0.0615187 | + | 0.486971i | 0.00507398 | + | 0.0401647i | ||||
\(148\) | −2.57585 | − | 6.50585i | −0.211734 | − | 0.534778i | ||||
\(149\) | −5.52669 | + | 4.01538i | −0.452764 | + | 0.328953i | −0.790686 | − | 0.612222i | \(-0.790276\pi\) |
0.337922 | + | 0.941174i | \(0.390276\pi\) | |||||||
\(150\) | −1.60375 | − | 4.73582i | −0.130945 | − | 0.386678i | ||||
\(151\) | −6.26861 | − | 4.55441i | −0.510132 | − | 0.370633i | 0.302741 | − | 0.953073i | \(-0.402098\pi\) |
−0.812874 | + | 0.582440i | \(0.802098\pi\) | |||||||
\(152\) | 0.616037 | − | 2.39931i | 0.0499672 | − | 0.194609i | ||||
\(153\) | −2.12660 | − | 2.26460i | −0.171925 | − | 0.183082i | ||||
\(154\) | 8.57665 | − | 8.05401i | 0.691126 | − | 0.649010i | ||||
\(155\) | −9.83109 | − | 15.2817i | −0.789652 | − | 1.22746i | ||||
\(156\) | −3.17200 | − | 0.400717i | −0.253963 | − | 0.0320830i | ||||
\(157\) | −4.94949 | + | 1.60819i | −0.395012 | + | 0.128347i | −0.499786 | − | 0.866149i | \(-0.666588\pi\) |
0.104774 | + | 0.994496i | \(0.466588\pi\) | |||||||
\(158\) | −2.71678 | − | 4.94180i | −0.216135 | − | 0.393148i | ||||
\(159\) | 0.568281 | − | 9.03256i | 0.0450676 | − | 0.716329i | ||||
\(160\) | −1.89534 | − | 1.18645i | −0.149840 | − | 0.0937974i | ||||
\(161\) | −0.542350 | + | 0.854607i | −0.0427432 | + | 0.0673525i | ||||
\(162\) | −0.248690 | − | 0.968583i | −0.0195389 | − | 0.0760991i | ||||
\(163\) | −3.96292 | + | 10.0092i | −0.310400 | + | 0.783981i | 0.687906 | + | 0.725800i | \(0.258530\pi\) |
−0.998306 | + | 0.0581810i | \(0.981470\pi\) | |||||||
\(164\) | −2.34195 | − | 0.601311i | −0.182876 | − | 0.0469545i | ||||
\(165\) | 3.73667 | − | 9.61088i | 0.290899 | − | 0.748206i | ||||
\(166\) | 7.65250 | + | 3.02984i | 0.593949 | + | 0.235161i | ||||
\(167\) | 16.6075 | + | 7.81490i | 1.28513 | + | 0.604735i | 0.942333 | − | 0.334676i | \(-0.108627\pi\) |
0.342794 | + | 0.939411i | \(0.388627\pi\) | |||||||
\(168\) | −2.42644 | − | 0.788397i | −0.187204 | − | 0.0608261i | ||||
\(169\) | −0.520513 | − | 2.72863i | −0.0400395 | − | 0.209894i | ||||
\(170\) | −5.59451 | + | 4.11772i | −0.429080 | + | 0.315815i | ||||
\(171\) | −1.05471 | − | 2.24137i | −0.0806557 | − | 0.171402i | ||||
\(172\) | 0.396437 | + | 0.0756244i | 0.0302280 | + | 0.00576631i | ||||
\(173\) | 12.3727 | − | 10.2356i | 0.940680 | − | 0.778198i | −0.0345474 | − | 0.999403i | \(-0.510999\pi\) |
0.975227 | + | 0.221205i | \(0.0709990\pi\) | |||||||
\(174\) | −2.53971 | + | 7.81642i | −0.192535 | + | 0.592561i | ||||
\(175\) | −11.4744 | + | 5.57372i | −0.867386 | + | 0.421334i | ||||
\(176\) | −1.42505 | − | 4.38584i | −0.107417 | − | 0.330595i | ||||
\(177\) | 5.19258 | + | 3.29531i | 0.390298 | + | 0.247691i | ||||
\(178\) | −8.43080 | + | 15.3356i | −0.631916 | + | 1.14945i | ||||
\(179\) | 2.44081 | − | 12.7952i | 0.182435 | − | 0.956358i | −0.766823 | − | 0.641859i | \(-0.778164\pi\) |
0.949258 | − | 0.314499i | \(-0.101836\pi\) | |||||||
\(180\) | −2.21666 | + | 0.293959i | −0.165220 | + | 0.0219104i | ||||
\(181\) | 16.6896 | + | 15.6726i | 1.24053 | + | 1.16494i | 0.979898 | + | 0.199497i | \(0.0639309\pi\) |
0.260632 | + | 0.965438i | \(0.416069\pi\) | |||||||
\(182\) | 8.15707i | 0.604642i | ||||||||
\(183\) | 6.88360 | − | 7.33029i | 0.508850 | − | 0.541871i | ||||
\(184\) | 0.212578 | + | 0.334969i | 0.0156714 | + | 0.0246942i | ||||
\(185\) | −9.11824 | + | 12.7147i | −0.670386 | + | 0.934803i | ||||
\(186\) | −7.55562 | + | 2.99148i | −0.554005 | + | 0.219346i | ||||
\(187\) | −14.2979 | − | 0.899545i | −1.04556 | − | 0.0657813i | ||||
\(188\) | 9.36485 | + | 0.589186i | 0.683002 | + | 0.0429708i | ||||
\(189\) | −2.37214 | + | 0.939198i | −0.172548 | + | 0.0683166i | ||||
\(190\) | −5.25725 | + | 1.74418i | −0.381401 | + | 0.126536i | ||||
\(191\) | −10.7613 | − | 16.9571i | −0.778663 | − | 1.22698i | −0.969437 | − | 0.245342i | \(-0.921100\pi\) |
0.190774 | − | 0.981634i | \(-0.438900\pi\) | |||||||
\(192\) | −0.684547 | + | 0.728969i | −0.0494029 | + | 0.0526088i | ||||
\(193\) | 2.35157i | 0.169270i | 0.996412 | + | 0.0846348i | \(0.0269724\pi\) | ||||
−0.996412 | + | 0.0846348i | \(0.973028\pi\) | |||||||
\(194\) | 2.28788 | + | 2.14846i | 0.164260 | + | 0.154250i | ||||
\(195\) | 3.08390 | + | 6.44984i | 0.220842 | + | 0.461883i | ||||
\(196\) | 0.0919744 | − | 0.482147i | 0.00656960 | − | 0.0344391i | ||||
\(197\) | −3.47871 | + | 6.32774i | −0.247848 | + | 0.450833i | −0.970742 | − | 0.240126i | \(-0.922811\pi\) |
0.722894 | + | 0.690959i | \(0.242811\pi\) | |||||||
\(198\) | −3.89365 | − | 2.47099i | −0.276710 | − | 0.175605i | ||||
\(199\) | −0.240182 | − | 0.739203i | −0.0170260 | − | 0.0524007i | 0.942183 | − | 0.335100i | \(-0.108770\pi\) |
−0.959209 | + | 0.282699i | \(0.908770\pi\) | |||||||
\(200\) | 0.0618033 | + | 4.99962i | 0.00437015 | + | 0.353526i | ||||
\(201\) | −0.372962 | + | 1.14786i | −0.0263067 | + | 0.0809637i | ||||
\(202\) | −13.4028 | + | 11.0877i | −0.943015 | + | 0.780130i | ||||
\(203\) | 20.5969 | + | 3.92907i | 1.44562 | + | 0.275767i | ||||
\(204\) | 1.32272 | + | 2.81092i | 0.0926088 | + | 0.196804i | ||||
\(205\) | 1.70249 | + | 5.13158i | 0.118907 | + | 0.358405i | ||||
\(206\) | 2.37301 | + | 12.4398i | 0.165336 | + | 0.866720i | ||||
\(207\) | 0.377311 | + | 0.122596i | 0.0262249 | + | 0.00852099i | ||||
\(208\) | 2.89292 | + | 1.36131i | 0.200588 | + | 0.0943897i | ||||
\(209\) | −10.6212 | − | 4.20523i | −0.734684 | − | 0.290882i | ||||
\(210\) | 1.45287 | + | 5.51679i | 0.100258 | + | 0.380695i | ||||
\(211\) | 18.8283 | + | 4.83429i | 1.29619 | + | 0.332806i | 0.832913 | − | 0.553405i | \(-0.186672\pi\) |
0.463282 | + | 0.886211i | \(0.346672\pi\) | |||||||
\(212\) | −3.33168 | + | 8.41487i | −0.228821 | + | 0.577936i | ||||
\(213\) | −1.86030 | − | 7.24537i | −0.127465 | − | 0.496445i | ||||
\(214\) | 5.22446 | − | 8.23242i | 0.357136 | − | 0.562757i | ||||
\(215\) | −0.337392 | − | 0.837003i | −0.0230099 | − | 0.0570831i | ||||
\(216\) | −0.0627905 | + | 0.998027i | −0.00427235 | + | 0.0679071i | ||||
\(217\) | 9.98801 | + | 18.1681i | 0.678030 | + | 1.23333i | ||||
\(218\) | 3.02150 | − | 0.981745i | 0.204642 | − | 0.0664922i | ||||
\(219\) | 4.78645 | + | 0.604669i | 0.323438 | + | 0.0408597i | ||||
\(220\) | −6.52371 | + | 7.98579i | −0.439828 | + | 0.538402i | ||||
\(221\) | 7.24041 | − | 6.79920i | 0.487043 | − | 0.457363i | ||||
\(222\) | 4.78993 | + | 5.10076i | 0.321479 | + | 0.342340i | ||||
\(223\) | −5.61536 | + | 21.8704i | −0.376033 | + | 1.46455i | 0.445961 | + | 0.895053i | \(0.352862\pi\) |
−0.821993 | + | 0.569497i | \(0.807138\pi\) | |||||||
\(224\) | 2.06405 | + | 1.49962i | 0.137910 | + | 0.100198i | ||||
\(225\) | 3.23450 | + | 3.81288i | 0.215633 | + | 0.254192i | ||||
\(226\) | −0.134064 | + | 0.0974032i | −0.00891780 | + | 0.00647916i | ||||
\(227\) | −6.86721 | − | 17.3446i | −0.455793 | − | 1.15120i | −0.958080 | − | 0.286500i | \(-0.907508\pi\) |
0.502287 | − | 0.864701i | \(-0.332492\pi\) | |||||||
\(228\) | 0.310467 | + | 2.45760i | 0.0205612 | + | 0.162758i | ||||
\(229\) | 9.42358 | + | 5.18066i | 0.622728 | + | 0.342348i | 0.761682 | − | 0.647951i | \(-0.224374\pi\) |
−0.138954 | + | 0.990299i | \(0.544374\pi\) | |||||||
\(230\) | 0.372745 | − | 0.805001i | 0.0245781 | − | 0.0530802i | ||||
\(231\) | −5.00949 | + | 10.6457i | −0.329600 | + | 0.700436i | ||||
\(232\) | 4.83081 | − | 6.64904i | 0.317158 | − | 0.436531i | ||||
\(233\) | −0.253980 | + | 2.01046i | −0.0166388 | + | 0.131710i | −0.998246 | − | 0.0592020i | \(-0.981144\pi\) |
0.981607 | + | 0.190912i | \(0.0611444\pi\) | |||||||
\(234\) | 3.09677 | − | 0.795115i | 0.202442 | − | 0.0519783i | ||||
\(235\) | −10.2215 | − | 18.3237i | −0.666779 | − | 1.19531i | ||||
\(236\) | −3.92013 | − | 4.73862i | −0.255179 | − | 0.308458i | ||||
\(237\) | 4.34519 | + | 3.59466i | 0.282251 | + | 0.233498i | ||||
\(238\) | 6.69200 | − | 4.24688i | 0.433778 | − | 0.275284i | ||||
\(239\) | −1.17874 | − | 18.7355i | −0.0762463 | − | 1.21190i | −0.831144 | − | 0.556058i | \(-0.812313\pi\) |
0.754898 | − | 0.655843i | \(-0.227687\pi\) | |||||||
\(240\) | 2.19901 | + | 0.405414i | 0.141945 | + | 0.0261694i | ||||
\(241\) | −19.4142 | + | 23.4678i | −1.25058 | + | 1.51169i | −0.475668 | + | 0.879625i | \(0.657794\pi\) |
−0.774913 | + | 0.632068i | \(0.782206\pi\) | |||||||
\(242\) | −10.0845 | + | 1.92372i | −0.648255 | + | 0.123661i | ||||
\(243\) | 0.587785 | + | 0.809017i | 0.0377064 | + | 0.0518985i | ||||
\(244\) | −8.81188 | + | 4.84437i | −0.564123 | + | 0.310129i | ||||
\(245\) | −1.01796 | + | 0.410336i | −0.0650353 | + | 0.0262154i | ||||
\(246\) | 2.39885 | − | 0.303045i | 0.152945 | − | 0.0193214i | ||||
\(247\) | 7.16615 | − | 3.37213i | 0.455971 | − | 0.214564i | ||||
\(248\) | 8.11024 | − | 0.510253i | 0.515000 | − | 0.0324011i | ||||
\(249\) | −8.23048 | −0.521585 | ||||||||
\(250\) | 9.32718 | − | 6.16471i | 0.589903 | − | 0.389891i | ||||
\(251\) | 22.3364 | 1.40986 | 0.704931 | − | 0.709275i | \(-0.250978\pi\) | ||||
0.704931 | + | 0.709275i | \(0.250978\pi\) | |||||||
\(252\) | 2.54627 | − | 0.160198i | 0.160400 | − | 0.0100915i | ||||
\(253\) | 1.65541 | − | 0.778976i | 0.104075 | − | 0.0489738i | ||||
\(254\) | −0.189797 | + | 0.0239769i | −0.0119089 | + | 0.00150444i | ||||
\(255\) | 3.68581 | − | 5.88804i | 0.230815 | − | 0.368723i | ||||
\(256\) | 0.876307 | − | 0.481754i | 0.0547692 | − | 0.0301096i | ||||
\(257\) | 1.65676 | + | 2.28034i | 0.103346 | + | 0.142244i | 0.857558 | − | 0.514388i | \(-0.171981\pi\) |
−0.754212 | + | 0.656631i | \(0.771981\pi\) | |||||||
\(258\) | −0.396437 | + | 0.0756244i | −0.0246811 | + | 0.00470817i | ||||
\(259\) | 11.3793 | − | 13.7552i | 0.707077 | − | 0.854709i | ||||
\(260\) | −0.939850 | − | 7.08714i | −0.0582870 | − | 0.439526i | ||||
\(261\) | −0.516054 | − | 8.20245i | −0.0319430 | − | 0.507719i | ||||
\(262\) | −10.6749 | + | 6.77449i | −0.659497 | + | 0.418529i | ||||
\(263\) | −14.4816 | − | 11.9802i | −0.892975 | − | 0.738733i | 0.0730102 | − | 0.997331i | \(-0.476739\pi\) |
−0.965985 | + | 0.258598i | \(0.916739\pi\) | |||||||
\(264\) | 2.93951 | + | 3.55326i | 0.180914 | + | 0.218688i | ||||
\(265\) | 19.8551 | − | 3.91489i | 1.21969 | − | 0.240490i | ||||
\(266\) | 6.12136 | − | 1.57170i | 0.375325 | − | 0.0963670i | ||||
\(267\) | 2.19336 | − | 17.3622i | 0.134232 | − | 1.06255i | ||||
\(268\) | 0.709416 | − | 0.976427i | 0.0433345 | − | 0.0596448i | ||||
\(269\) | −11.1739 | + | 23.7457i | −0.681285 | + | 1.44780i | 0.202200 | + | 0.979344i | \(0.435191\pi\) |
−0.883485 | + | 0.468460i | \(0.844809\pi\) | |||||||
\(270\) | 1.95279 | − | 1.08932i | 0.118843 | − | 0.0662941i | ||||
\(271\) | 22.4122 | + | 12.3212i | 1.36144 | + | 0.748460i | 0.984100 | − | 0.177613i | \(-0.0568376\pi\) |
0.377344 | + | 0.926073i | \(0.376838\pi\) | |||||||
\(272\) | −0.389358 | − | 3.08208i | −0.0236083 | − | 0.186879i | ||||
\(273\) | −3.00282 | − | 7.58425i | −0.181739 | − | 0.459020i | ||||
\(274\) | −10.4724 | + | 7.60864i | −0.632660 | + | 0.459655i | ||||
\(275\) | 22.9099 | + | 2.60692i | 1.38152 | + | 0.157203i | ||||
\(276\) | −0.320960 | − | 0.233191i | −0.0193195 | − | 0.0140364i | ||||
\(277\) | 3.23009 | − | 12.5804i | 0.194077 | − | 0.755881i | −0.794765 | − | 0.606917i | \(-0.792406\pi\) |
0.988843 | − | 0.148964i | \(-0.0475940\pi\) | |||||||
\(278\) | −6.47854 | − | 6.89895i | −0.388557 | − | 0.413771i | ||||
\(279\) | 5.92380 | − | 5.56282i | 0.354648 | − | 0.333037i | ||||
\(280\) | 0.323017 | − | 5.69574i | 0.0193040 | − | 0.340386i | ||||
\(281\) | 0.998720 | + | 0.126168i | 0.0595786 | + | 0.00752653i | 0.155066 | − | 0.987904i | \(-0.450441\pi\) |
−0.0954874 | + | 0.995431i | \(0.530441\pi\) | |||||||
\(282\) | −8.92411 | + | 2.89962i | −0.531423 | + | 0.172670i | ||||
\(283\) | −11.4279 | − | 20.7873i | −0.679318 | − | 1.23568i | −0.961101 | − | 0.276197i | \(-0.910926\pi\) |
0.281783 | − | 0.959478i | \(-0.409074\pi\) | |||||||
\(284\) | −0.469697 | + | 7.46562i | −0.0278714 | + | 0.443003i | ||||
\(285\) | 4.24599 | − | 3.55702i | 0.251511 | − | 0.210700i | ||||
\(286\) | 7.90028 | − | 12.4488i | 0.467153 | − | 0.736116i | ||||
\(287\) | −1.53413 | − | 5.97503i | −0.0905567 | − | 0.352695i | ||||
\(288\) | 0.368125 | − | 0.929776i | 0.0216919 | − | 0.0547876i | ||||
\(289\) | 7.11827 | + | 1.82766i | 0.418722 | + | 0.107509i | ||||
\(290\) | −18.3480 | − | 1.04055i | −1.07743 | − | 0.0611034i | ||||
\(291\) | −2.91812 | − | 1.15536i | −0.171063 | − | 0.0677286i | ||||
\(292\) | −4.36533 | − | 2.05417i | −0.255462 | − | 0.120211i | ||||
\(293\) | 20.0338 | + | 6.50937i | 1.17039 | + | 0.380281i | 0.828787 | − | 0.559564i | \(-0.189032\pi\) |
0.341599 | + | 0.939846i | \(0.389032\pi\) | |||||||
\(294\) | 0.0919744 | + | 0.482147i | 0.00536406 | + | 0.0281194i | ||||
\(295\) | −4.16860 | + | 13.1047i | −0.242705 | + | 0.762984i | ||||
\(296\) | −2.97927 | − | 6.33128i | −0.173167 | − | 0.367998i | ||||
\(297\) | 4.52986 | + | 0.864117i | 0.262849 | + | 0.0501412i | ||||
\(298\) | −5.26366 | + | 4.35448i | −0.304916 | + | 0.252248i | ||||
\(299\) | −0.391965 | + | 1.20634i | −0.0226679 | + | 0.0697646i | ||||
\(300\) | −1.89795 | − | 4.62578i | −0.109578 | − | 0.267069i | ||||
\(301\) | 0.318186 | + | 0.979275i | 0.0183399 | + | 0.0564445i | ||||
\(302\) | −6.54222 | − | 4.15182i | −0.376462 | − | 0.238910i | ||||
\(303\) | 8.37991 | − | 15.2430i | 0.481413 | − | 0.875687i | ||||
\(304\) | 0.464168 | − | 2.43325i | 0.0266218 | − | 0.139557i | ||||
\(305\) | 19.7705 | + | 10.7104i | 1.13206 | + | 0.613273i | ||||
\(306\) | −2.26460 | − | 2.12660i | −0.129459 | − | 0.121570i | ||||
\(307\) | 8.35714i | 0.476967i | 0.971147 | + | 0.238484i | \(0.0766503\pi\) | ||||
−0.971147 | + | 0.238484i | \(0.923350\pi\) | |||||||
\(308\) | 8.05401 | − | 8.57665i | 0.458920 | − | 0.488700i | ||||
\(309\) | −6.78576 | − | 10.6926i | −0.386028 | − | 0.608283i | ||||
\(310\) | −10.7712 | − | 14.6343i | −0.611765 | − | 0.831171i | ||||
\(311\) | −1.21908 | + | 0.482667i | −0.0691275 | + | 0.0273695i | −0.402434 | − | 0.915449i | \(-0.631836\pi\) |
0.333306 | + | 0.942819i | \(0.391836\pi\) | |||||||
\(312\) | −3.19090 | − | 0.200755i | −0.180649 | − | 0.0113655i | ||||
\(313\) | 6.17937 | + | 0.388773i | 0.349278 | + | 0.0219747i | 0.236461 | − | 0.971641i | \(-0.424012\pi\) |
0.112817 | + | 0.993616i | \(0.464012\pi\) | |||||||
\(314\) | −4.83874 | + | 1.91579i | −0.273066 | + | 0.108115i | ||||
\(315\) | −3.38171 | − | 4.59454i | −0.190538 | − | 0.258873i | ||||
\(316\) | −3.02171 | − | 4.76146i | −0.169985 | − | 0.267853i | ||||
\(317\) | 11.6286 | − | 12.3832i | 0.653127 | − | 0.695509i | −0.314110 | − | 0.949387i | \(-0.601706\pi\) |
0.967236 | + | 0.253878i | \(0.0817060\pi\) | |||||||
\(318\) | − | 9.05042i | − | 0.507522i | ||||||
\(319\) | −27.6284 | − | 25.9448i | −1.54690 | − | 1.45263i | ||||
\(320\) | −1.96610 | − | 1.06510i | −0.109908 | − | 0.0595411i | ||||
\(321\) | −1.82702 | + | 9.57756i | −0.101974 | + | 0.534568i | ||||
\(322\) | −0.487619 | + | 0.886976i | −0.0271739 | + | 0.0494292i | ||||
\(323\) | −6.49744 | − | 4.12340i | −0.361527 | − | 0.229432i | ||||
\(324\) | −0.309017 | − | 0.951057i | −0.0171676 | − | 0.0528365i | ||||
\(325\) | −12.1906 | + | 10.3414i | −0.676212 | + | 0.573636i | ||||
\(326\) | −3.32662 | + | 10.2383i | −0.184244 | + | 0.567046i | ||||
\(327\) | −2.44792 | + | 2.02509i | −0.135370 | + | 0.111988i | ||||
\(328\) | −2.37509 | − | 0.453072i | −0.131142 | − | 0.0250167i | ||||
\(329\) | 10.1931 | + | 21.6614i | 0.561963 | + | 1.19423i | ||||
\(330\) | 3.12583 | − | 9.82654i | 0.172071 | − | 0.540933i | ||||
\(331\) | 2.82739 | + | 14.8217i | 0.155408 | + | 0.814675i | 0.971552 | + | 0.236827i | \(0.0761075\pi\) |
−0.816144 | + | 0.577848i | \(0.803893\pi\) | |||||||
\(332\) | 7.82765 | + | 2.54336i | 0.429598 | + | 0.139585i | ||||
\(333\) | −6.33128 | − | 2.97927i | −0.346952 | − | 0.163263i | ||||
\(334\) | 17.0654 | + | 6.75668i | 0.933779 | + | 0.369709i | ||||
\(335\) | −2.69445 | − | 0.152808i | −0.147213 | − | 0.00834878i | ||||
\(336\) | −2.47115 | − | 0.634484i | −0.134812 | − | 0.0346139i | ||||
\(337\) | −6.87890 | + | 17.3741i | −0.374717 | + | 0.946428i | 0.612987 | + | 0.790093i | \(0.289968\pi\) |
−0.987704 | + | 0.156335i | \(0.950032\pi\) | |||||||
\(338\) | −0.690818 | − | 2.69056i | −0.0375755 | − | 0.146347i | ||||
\(339\) | 0.0887930 | − | 0.139915i | 0.00482257 | − | 0.00759916i | ||||
\(340\) | −5.32492 | + | 4.46088i | −0.288784 | + | 0.241925i | ||||
\(341\) | 2.35305 | − | 37.4007i | 0.127425 | − | 2.02536i | ||||
\(342\) | −1.19337 | − | 2.17073i | −0.0645299 | − | 0.117379i | ||||
\(343\) | 18.1760 | − | 5.90575i | 0.981414 | − | 0.318881i | ||||
\(344\) | 0.400403 | + | 0.0505827i | 0.0215883 | + | 0.00272724i | ||||
\(345\) | −0.0502292 | + | 0.885688i | −0.00270425 | + | 0.0476838i | ||||
\(346\) | 11.7056 | − | 10.9923i | 0.629297 | − | 0.590949i | ||||
\(347\) | 8.94237 | + | 9.52265i | 0.480051 | + | 0.511203i | 0.922714 | − | 0.385485i | \(-0.125966\pi\) |
−0.442663 | + | 0.896688i | \(0.645966\pi\) | |||||||
\(348\) | −2.04390 | + | 7.96046i | −0.109564 | + | 0.426726i | ||||
\(349\) | −16.8515 | − | 12.2434i | −0.902042 | − | 0.655372i | 0.0369479 | − | 0.999317i | \(-0.488236\pi\) |
−0.938990 | + | 0.343946i | \(0.888236\pi\) | |||||||
\(350\) | −11.1018 | + | 6.28321i | −0.593417 | + | 0.335852i | ||||
\(351\) | −2.58660 | + | 1.87927i | −0.138062 | + | 0.100308i | ||||
\(352\) | −1.69762 | − | 4.28770i | −0.0904836 | − | 0.228535i | ||||
\(353\) | 4.01448 | + | 31.7778i | 0.213669 | + | 1.69136i | 0.625596 | + | 0.780147i | \(0.284856\pi\) |
−0.411927 | + | 0.911217i | \(0.635144\pi\) | |||||||
\(354\) | 5.38925 | + | 2.96276i | 0.286435 | + | 0.157469i | ||||
\(355\) | 14.6076 | − | 8.14856i | 0.775290 | − | 0.432481i | ||||
\(356\) | −7.45124 | + | 15.8347i | −0.394915 | + | 0.839237i | ||||
\(357\) | −4.65869 | + | 6.41214i | −0.246564 | + | 0.339366i | ||||
\(358\) | 1.63258 | − | 12.9232i | 0.0862846 | − | 0.683013i | ||||
\(359\) | 1.86563 | − | 0.479013i | 0.0984644 | − | 0.0252814i | −0.199136 | − | 0.979972i | \(-0.563814\pi\) |
0.297601 | + | 0.954690i | \(0.403814\pi\) | |||||||
\(360\) | −2.19383 | + | 0.432564i | −0.115625 | + | 0.0227981i | ||||
\(361\) | 8.19971 | + | 9.91175i | 0.431564 | + | 0.521671i | ||||
\(362\) | 17.6408 | + | 14.5937i | 0.927179 | + | 0.767029i | ||||
\(363\) | 8.66815 | − | 5.50097i | 0.454960 | − | 0.288726i | ||||
\(364\) | 0.512186 | + | 8.14097i | 0.0268459 | + | 0.426703i | ||||
\(365\) | 1.41820 | + | 10.6943i | 0.0742322 | + | 0.559763i | ||||
\(366\) | 6.40975 | − | 7.74805i | 0.335043 | − | 0.404997i | ||||
\(367\) | 25.5869 | − | 4.88097i | 1.33563 | − | 0.254784i | 0.530398 | − | 0.847749i | \(-0.322043\pi\) |
0.805229 | + | 0.592964i | \(0.202043\pi\) | |||||||
\(368\) | 0.233191 | + | 0.320960i | 0.0121559 | + | 0.0167312i | ||||
\(369\) | −2.11883 | + | 1.16484i | −0.110302 | + | 0.0606391i | ||||
\(370\) | −8.30188 | + | 13.2621i | −0.431594 | + | 0.689466i | ||||
\(371\) | −22.9083 | + | 2.89399i | −1.18934 | + | 0.150249i | ||||
\(372\) | −7.35287 | + | 3.46000i | −0.381229 | + | 0.179393i | ||||
\(373\) | −15.6725 | + | 0.986029i | −0.811490 | + | 0.0510546i | −0.463112 | − | 0.886300i | \(-0.653267\pi\) |
−0.348378 | + | 0.937354i | \(0.613267\pi\) | |||||||
\(374\) | −14.3261 | −0.740787 | ||||||||
\(375\) | −6.40281 | + | 9.16537i | −0.330640 | + | 0.473298i | ||||
\(376\) | 9.38336 | 0.483910 | ||||||||
\(377\) | 26.2250 | − | 1.64994i | 1.35065 | − | 0.0849760i | ||||
\(378\) | −2.30849 | + | 1.08629i | −0.118736 | + | 0.0558729i | ||||
\(379\) | 16.7591 | − | 2.11717i | 0.860859 | − | 0.108752i | 0.317506 | − | 0.948256i | \(-0.397155\pi\) |
0.543353 | + | 0.839504i | \(0.317155\pi\) | |||||||
\(380\) | −5.13736 | + | 2.07084i | −0.263541 | + | 0.106232i | ||||
\(381\) | 0.167642 | − | 0.0921619i | 0.00858855 | − | 0.00472160i | ||||
\(382\) | −11.8048 | − | 16.2480i | −0.603989 | − | 0.831319i | ||||
\(383\) | −18.4003 | + | 3.51005i | −0.940214 | + | 0.179355i | −0.634635 | − | 0.772812i | \(-0.718850\pi\) |
−0.305578 | + | 0.952167i | \(0.598850\pi\) | |||||||
\(384\) | −0.637424 | + | 0.770513i | −0.0325284 | + | 0.0393201i | ||||
\(385\) | −25.8723 | − | 4.76988i | −1.31858 | − | 0.243096i | ||||
\(386\) | 0.147656 | + | 2.34693i | 0.00751550 | + | 0.119456i | ||||
\(387\) | 0.340759 | − | 0.216252i | 0.0173217 | − | 0.0109927i | ||||
\(388\) | 2.41827 | + | 2.00056i | 0.122769 | + | 0.101563i | ||||
\(389\) | −22.4573 | − | 27.1462i | −1.13863 | − | 1.37637i | −0.915860 | − | 0.401499i | \(-0.868489\pi\) |
−0.222772 | − | 0.974871i | \(-0.571511\pi\) | |||||||
\(390\) | 3.48280 | + | 6.24347i | 0.176358 | + | 0.316151i | ||||
\(391\) | 1.19375 | − | 0.306502i | 0.0603704 | − | 0.0155005i | ||||
\(392\) | 0.0615187 | − | 0.486971i | 0.00310716 | − | 0.0245957i | ||||
\(393\) | 7.43140 | − | 10.2284i | 0.374865 | − | 0.515957i | ||||
\(394\) | −3.07452 | + | 6.53369i | −0.154892 | + | 0.329162i | ||||
\(395\) | −5.29844 | + | 11.4428i | −0.266594 | + | 0.575750i | ||||
\(396\) | −4.04113 | − | 2.22163i | −0.203074 | − | 0.111641i | ||||
\(397\) | −2.39997 | − | 18.9978i | −0.120451 | − | 0.953470i | −0.930292 | − | 0.366820i | \(-0.880446\pi\) |
0.809841 | − | 0.586650i | \(-0.199554\pi\) | |||||||
\(398\) | −0.286122 | − | 0.722663i | −0.0143420 | − | 0.0362238i | ||||
\(399\) | −5.11292 | + | 3.71475i | −0.255966 | + | 0.185970i | ||||
\(400\) | 0.375610 | + | 4.98587i | 0.0187805 | + | 0.249294i | ||||
\(401\) | −16.8058 | − | 12.2102i | −0.839244 | − | 0.609746i | 0.0829154 | − | 0.996557i | \(-0.473577\pi\) |
−0.922159 | + | 0.386810i | \(0.873577\pi\) | |||||||
\(402\) | −0.300151 | + | 1.16901i | −0.0149702 | + | 0.0583051i | ||||
\(403\) | 17.7855 | + | 18.9396i | 0.885959 | + | 0.943451i | ||||
\(404\) | −12.6801 | + | 11.9074i | −0.630859 | + | 0.592416i | ||||
\(405\) | −1.41465 | + | 1.73170i | −0.0702944 | + | 0.0860487i | ||||
\(406\) | 20.8030 | + | 2.62803i | 1.03243 | + | 0.130427i | ||||
\(407\) | −30.6887 | + | 9.97136i | −1.52118 | + | 0.494262i | ||||
\(408\) | 1.49661 | + | 2.72232i | 0.0740931 | + | 0.134775i | ||||
\(409\) | 2.45768 | − | 39.0637i | 0.121525 | − | 1.93158i | −0.190853 | − | 0.981619i | \(-0.561125\pi\) |
0.312377 | − | 0.949958i | \(-0.398875\pi\) | |||||||
\(410\) | 2.02134 | + | 5.01455i | 0.0998269 | + | 0.247651i | ||||
\(411\) | 6.93606 | − | 10.9295i | 0.342130 | − | 0.539111i | ||||
\(412\) | 3.14943 | + | 12.2662i | 0.155161 | + | 0.604313i | ||||
\(413\) | 5.77603 | − | 14.5886i | 0.284220 | − | 0.717857i | ||||
\(414\) | 0.384264 | + | 0.0986623i | 0.0188856 | + | 0.00484899i | ||||
\(415\) | −4.68695 | − | 17.7971i | −0.230073 | − | 0.873625i | ||||
\(416\) | 2.97269 | + | 1.17697i | 0.145748 | + | 0.0577058i | ||||
\(417\) | 8.56327 | + | 4.02957i | 0.419345 | + | 0.197329i | ||||
\(418\) | −10.8643 | − | 3.53002i | −0.531390 | − | 0.172659i | ||||
\(419\) | 3.53333 | + | 18.5224i | 0.172615 | + | 0.904877i | 0.958195 | + | 0.286117i | \(0.0923647\pi\) |
−0.785580 | + | 0.618760i | \(0.787635\pi\) | |||||||
\(420\) | 1.79641 | + | 5.41468i | 0.0876557 | + | 0.264209i | ||||
\(421\) | −14.5819 | − | 30.9882i | −0.710680 | − | 1.51027i | −0.853820 | − | 0.520568i | \(-0.825720\pi\) |
0.143140 | − | 0.989702i | \(-0.454280\pi\) | |||||||
\(422\) | 19.0947 | + | 3.64251i | 0.929516 | + | 0.177315i | ||||
\(423\) | 7.23001 | − | 5.98118i | 0.351535 | − | 0.290815i | ||||
\(424\) | −2.79673 | + | 8.60746i | −0.135821 | + | 0.418015i | ||||
\(425\) | 14.8309 | + | 4.61696i | 0.719403 | + | 0.223956i | ||||
\(426\) | −2.31157 | − | 7.11427i | −0.111996 | − | 0.344687i | ||||
\(427\) | −21.6614 | − | 13.7467i | −1.04827 | − | 0.665251i | ||||
\(428\) | 4.69723 | − | 8.54423i | 0.227049 | − | 0.413001i | ||||
\(429\) | −2.76277 | + | 14.4829i | −0.133388 | + | 0.699242i | ||||
\(430\) | −0.389282 | − | 0.814166i | −0.0187728 | − | 0.0392626i | ||||
\(431\) | −23.4853 | − | 22.0542i | −1.13125 | − | 1.06231i | −0.997455 | − | 0.0713045i | \(-0.977284\pi\) |
−0.133794 | − | 0.991009i | \(-0.542716\pi\) | |||||||
\(432\) | 1.00000i | 0.0481125i | ||||||||
\(433\) | 2.53643 | − | 2.70102i | 0.121893 | − | 0.129803i | −0.665127 | − | 0.746730i | \(-0.731623\pi\) |
0.787020 | + | 0.616927i | \(0.211623\pi\) | |||||||
\(434\) | 11.1091 | + | 17.5051i | 0.533253 | + | 0.840272i | ||||
\(435\) | 17.4426 | − | 5.78687i | 0.836309 | − | 0.277459i | ||||
\(436\) | 2.95389 | − | 1.16953i | 0.141466 | − | 0.0560103i | ||||
\(437\) | 0.980808 | + | 0.0617072i | 0.0469184 | + | 0.00295186i | ||||
\(438\) | 4.81497 | + | 0.302932i | 0.230068 | + | 0.0144747i | ||||
\(439\) | −3.55587 | + | 1.40787i | −0.169712 | + | 0.0671939i | −0.451444 | − | 0.892299i | \(-0.649091\pi\) |
0.281732 | + | 0.959493i | \(0.409091\pi\) | |||||||
\(440\) | −6.00940 | + | 8.37966i | −0.286487 | + | 0.399485i | ||||
\(441\) | −0.263006 | − | 0.414431i | −0.0125241 | − | 0.0197348i | ||||
\(442\) | 6.79920 | − | 7.24041i | 0.323405 | − | 0.344391i | ||||
\(443\) | − | 12.1737i | − | 0.578391i | −0.957270 | − | 0.289196i | \(-0.906612\pi\) | ||
0.957270 | − | 0.289196i | \(-0.0933878\pi\) | |||||||
\(444\) | 5.10076 | + | 4.78993i | 0.242071 | + | 0.227320i | ||||
\(445\) | 38.7921 | − | 5.14436i | 1.83892 | − | 0.243866i | ||||
\(446\) | −4.23103 | + | 22.1798i | −0.200345 | + | 1.05025i | ||||
\(447\) | 3.29104 | − | 5.98637i | 0.155661 | − | 0.283146i | ||||
\(448\) | 2.15414 | + | 1.36706i | 0.101773 | + | 0.0645874i | ||||
\(449\) | 11.4842 | + | 35.3448i | 0.541973 | + | 1.66802i | 0.728080 | + | 0.685492i | \(0.240413\pi\) |
−0.186107 | + | 0.982530i | \(0.559587\pi\) | |||||||
\(450\) | 3.46753 | + | 3.60226i | 0.163461 | + | 0.169812i | ||||
\(451\) | −3.44564 | + | 10.6046i | −0.162249 | + | 0.499350i | ||||
\(452\) | −0.127683 | + | 0.105629i | −0.00600572 | + | 0.00496837i | ||||
\(453\) | 7.61119 | + | 1.45191i | 0.357605 | + | 0.0682167i | ||||
\(454\) | −7.94274 | − | 16.8792i | −0.372771 | − | 0.792179i | ||||
\(455\) | 14.6897 | − | 10.8121i | 0.688665 | − | 0.506877i | ||||
\(456\) | 0.464168 | + | 2.43325i | 0.0217366 | + | 0.113947i | ||||
\(457\) | −28.7502 | − | 9.34150i | −1.34488 | − | 0.436977i | −0.453911 | − | 0.891047i | \(-0.649971\pi\) |
−0.890966 | + | 0.454070i | \(0.849971\pi\) | |||||||
\(458\) | 9.73029 | + | 4.57872i | 0.454666 | + | 0.213950i | ||||
\(459\) | 2.88843 | + | 1.14361i | 0.134820 | + | 0.0533791i | ||||
\(460\) | 0.321463 | − | 0.826818i | 0.0149883 | − | 0.0385506i | ||||
\(461\) | −11.2574 | − | 2.89042i | −0.524311 | − | 0.134620i | −0.0227479 | − | 0.999741i | \(-0.507242\pi\) |
−0.501563 | + | 0.865121i | \(0.667242\pi\) | |||||||
\(462\) | −4.33115 | + | 10.9392i | −0.201503 | + | 0.508940i | ||||
\(463\) | 5.58424 | + | 21.7492i | 0.259522 | + | 1.01077i | 0.956041 | + | 0.293232i | \(0.0947308\pi\) |
−0.696520 | + | 0.717538i | \(0.745269\pi\) | |||||||
\(464\) | 4.40378 | − | 6.93925i | 0.204440 | − | 0.322147i | ||||
\(465\) | 15.4021 | + | 9.64144i | 0.714254 | + | 0.447111i | ||||
\(466\) | −0.127241 | + | 2.02244i | −0.00589433 | + | 0.0936877i | ||||
\(467\) | 12.3614 | + | 22.4854i | 0.572019 | + | 1.04050i | 0.991172 | + | 0.132583i | \(0.0423270\pi\) |
−0.419153 | + | 0.907916i | \(0.637673\pi\) | |||||||
\(468\) | 3.04073 | − | 0.987993i | 0.140558 | − | 0.0456700i | ||||
\(469\) | 3.05497 | + | 0.385932i | 0.141065 | + | 0.0178207i | ||||
\(470\) | −11.3519 | − | 17.6457i | −0.523624 | − | 0.813937i | ||||
\(471\) | 3.79370 | − | 3.56252i | 0.174804 | − | 0.164152i | ||||
\(472\) | −4.20993 | − | 4.48313i | −0.193778 | − | 0.206353i | ||||
\(473\) | 0.462850 | − | 1.80268i | 0.0212819 | − | 0.0828874i | ||||
\(474\) | 4.56233 | + | 3.31473i | 0.209555 | + | 0.152250i | ||||
\(475\) | 10.1094 | + | 7.15569i | 0.463852 | + | 0.328325i | ||||
\(476\) | 6.41214 | − | 4.65869i | 0.293900 | − | 0.213531i | ||||
\(477\) | 3.33168 | + | 8.41487i | 0.152547 | + | 0.385290i | ||||
\(478\) | −2.35283 | − | 18.6245i | −0.107616 | − | 0.851867i | ||||
\(479\) | 35.3023 | + | 19.4076i | 1.61300 | + | 0.886755i | 0.994923 | + | 0.100639i | \(0.0320888\pi\) |
0.618079 | + | 0.786116i | \(0.287911\pi\) | |||||||
\(480\) | 2.22013 | + | 0.266537i | 0.101334 | + | 0.0121657i | ||||
\(481\) | 9.52537 | − | 20.2424i | 0.434319 | − | 0.922976i | ||||
\(482\) | −17.9024 | + | 24.6405i | −0.815431 | + | 1.12234i | ||||
\(483\) | 0.126859 | − | 1.00419i | 0.00577229 | − | 0.0456924i | ||||
\(484\) | −9.94379 | + | 2.55313i | −0.451991 | + | 0.116051i | ||||
\(485\) | 0.836531 | − | 6.96789i | 0.0379849 | − | 0.316396i | ||||
\(486\) | 0.637424 | + | 0.770513i | 0.0289141 | + | 0.0349512i | ||||
\(487\) | 15.9957 | + | 13.2328i | 0.724836 | + | 0.599636i | 0.924929 | − | 0.380141i | \(-0.124124\pi\) |
−0.200093 | + | 0.979777i | \(0.564124\pi\) | |||||||
\(488\) | −8.49031 | + | 5.38811i | −0.384338 | + | 0.243908i | ||||
\(489\) | −0.675950 | − | 10.7439i | −0.0305675 | − | 0.485857i | ||||
\(490\) | −0.990189 | + | 0.473445i | −0.0447322 | + | 0.0213880i | ||||
\(491\) | −1.25634 | + | 1.51865i | −0.0566978 | + | 0.0685358i | −0.798100 | − | 0.602525i | \(-0.794161\pi\) |
0.741402 | + | 0.671061i | \(0.234161\pi\) | |||||||
\(492\) | 2.37509 | − | 0.453072i | 0.107077 | − | 0.0204261i | ||||
\(493\) | −15.0073 | − | 20.6558i | −0.675895 | − | 0.930290i | ||||
\(494\) | 6.94027 | − | 3.81545i | 0.312258 | − | 0.171665i | ||||
\(495\) | 0.711071 | + | 10.2872i | 0.0319603 | + | 0.462374i | ||||
\(496\) | 8.06219 | − | 1.01849i | 0.362003 | − | 0.0457316i | ||||
\(497\) | −17.2684 | + | 8.12589i | −0.774593 | + | 0.364496i | ||||
\(498\) | −8.21424 | + | 0.516796i | −0.368089 | + | 0.0231582i | ||||
\(499\) | 7.54980 | 0.337975 | 0.168988 | − | 0.985618i | \(-0.445950\pi\) | ||||
0.168988 | + | 0.985618i | \(0.445950\pi\) | |||||||
\(500\) | 8.92169 | − | 6.73821i | 0.398990 | − | 0.301342i | ||||
\(501\) | −18.3543 | −0.820011 | ||||||||
\(502\) | 22.2924 | − | 1.40252i | 0.994956 | − | 0.0625974i | ||||
\(503\) | −31.3591 | + | 14.7565i | −1.39823 | + | 0.657959i | −0.969414 | − | 0.245431i | \(-0.921071\pi\) |
−0.428820 | + | 0.903390i | \(0.641071\pi\) | |||||||
\(504\) | 2.53119 | − | 0.319763i | 0.112748 | − | 0.0142434i | ||||
\(505\) | 37.7326 | + | 9.43989i | 1.67908 | + | 0.420070i | ||||
\(506\) | 1.60323 | − | 0.881382i | 0.0712722 | − | 0.0391822i | ||||
\(507\) | 1.63277 | + | 2.24731i | 0.0725137 | + | 0.0998066i | ||||
\(508\) | −0.187916 | + | 0.0358470i | −0.00833745 | + | 0.00159045i | ||||
\(509\) | −14.0878 | + | 17.0293i | −0.624432 | + | 0.754809i | −0.983972 | − | 0.178321i | \(-0.942934\pi\) |
0.359540 | + | 0.933130i | \(0.382934\pi\) | |||||||
\(510\) | 3.30883 | − | 6.10785i | 0.146517 | − | 0.270460i | ||||
\(511\) | −0.772873 | − | 12.2845i | −0.0341899 | − | 0.543432i | ||||
\(512\) | 0.844328 | − | 0.535827i | 0.0373144 | − | 0.0236804i | ||||
\(513\) | 1.90866 | + | 1.57898i | 0.0842694 | + | 0.0697137i | ||||
\(514\) | 1.79668 | + | 2.17181i | 0.0792481 | + | 0.0957944i | ||||
\(515\) | 19.2569 | − | 20.7622i | 0.848560 | − | 0.914890i | ||||
\(516\) | −0.390906 | + | 0.100368i | −0.0172087 | + | 0.00441844i | ||||
\(517\) | 5.42339 | − | 42.9306i | 0.238521 | − | 1.88808i | ||||
\(518\) | 10.4932 | − | 14.4426i | 0.461044 | − | 0.634572i | ||||
\(519\) | −6.83706 | + | 14.5295i | −0.300114 | + | 0.637774i | ||||
\(520\) | −1.38300 | − | 7.01414i | −0.0606486 | − | 0.307590i | ||||
\(521\) | −19.7689 | − | 10.8680i | −0.866090 | − | 0.476137i | −0.0142253 | − | 0.999899i | \(-0.504528\pi\) |
−0.851865 | + | 0.523762i | \(0.824528\pi\) | |||||||
\(522\) | −1.03007 | − | 8.15386i | −0.0450850 | − | 0.356885i | ||||
\(523\) | 10.4441 | + | 26.3788i | 0.456688 | + | 1.15346i | 0.957635 | + | 0.287985i | \(0.0929852\pi\) |
−0.500947 | + | 0.865478i | \(0.667015\pi\) | |||||||
\(524\) | −10.2284 | + | 7.43140i | −0.446832 | + | 0.324642i | ||||
\(525\) | 8.00920 | − | 9.92883i | 0.349550 | − | 0.433330i | ||||
\(526\) | −15.2053 | − | 11.0473i | −0.662982 | − | 0.481685i | ||||
\(527\) | 6.27816 | − | 24.4518i | 0.273481 | − | 1.06514i | ||||
\(528\) | 3.15682 | + | 3.36167i | 0.137383 | + | 0.146298i | ||||
\(529\) | 16.6515 | − | 15.6368i | 0.723980 | − | 0.679863i | ||||
\(530\) | 19.5701 | − | 5.15388i | 0.850070 | − | 0.223870i | ||||
\(531\) | −6.10146 | − | 0.770794i | −0.264781 | − | 0.0334496i | ||||
\(532\) | 6.01060 | − | 1.95296i | 0.260592 | − | 0.0846716i | ||||
\(533\) | −3.72424 | − | 6.77436i | −0.161315 | − | 0.293430i | ||||
\(534\) | 1.09885 | − | 17.4657i | 0.0475519 | − | 0.755815i | ||||
\(535\) | −21.7504 | + | 1.50343i | −0.940350 | + | 0.0649990i | ||||
\(536\) | 0.646706 | − | 1.01905i | 0.0279334 | − | 0.0440161i | ||||
\(537\) | 3.23941 | + | 12.6167i | 0.139791 | + | 0.544450i | ||||
\(538\) | −9.66084 | + | 24.4005i | −0.416509 | + | 1.05198i | ||||
\(539\) | −2.19242 | − | 0.562918i | −0.0944343 | − | 0.0242466i | ||||
\(540\) | 1.88053 | − | 1.20979i | 0.0809253 | − | 0.0520611i | ||||
\(541\) | 4.40413 | + | 1.74372i | 0.189348 | + | 0.0749684i | 0.460885 | − | 0.887460i | \(-0.347532\pi\) |
−0.271537 | + | 0.962428i | \(0.587532\pi\) | |||||||
\(542\) | 23.1416 | + | 10.8896i | 0.994018 | + | 0.467749i | ||||
\(543\) | −21.7743 | − | 7.07490i | −0.934425 | − | 0.303613i | ||||
\(544\) | −0.582115 | − | 3.05155i | −0.0249580 | − | 0.130834i | ||||
\(545\) | −5.77293 | − | 4.14001i | −0.247285 | − | 0.177339i | ||||
\(546\) | −3.47311 | − | 7.38073i | −0.148635 | − | 0.315866i | ||||
\(547\) | −1.62875 | − | 0.310701i | −0.0696405 | − | 0.0132846i | 0.152443 | − | 0.988312i | \(-0.451286\pi\) |
−0.222084 | + | 0.975028i | \(0.571286\pi\) | |||||||
\(548\) | −9.97397 | + | 8.25119i | −0.426067 | + | 0.352473i | ||||
\(549\) | −3.10738 | + | 9.56354i | −0.132620 | + | 0.408162i | ||||
\(550\) | 23.0284 | + | 1.16325i | 0.981932 | + | 0.0496011i | ||||
\(551\) | −6.29118 | − | 19.3623i | −0.268013 | − | 0.824861i | ||||
\(552\) | −0.334969 | − | 0.212578i | −0.0142572 | − | 0.00904790i | ||||
\(553\) | 6.93133 | − | 12.6080i | 0.294750 | − | 0.536148i | ||||
\(554\) | 2.43379 | − | 12.7584i | 0.103402 | − | 0.542051i | ||||
\(555\) | 2.83677 | − | 15.3870i | 0.120414 | − | 0.653140i | ||||
\(556\) | −6.89895 | − | 6.47854i | −0.292581 | − | 0.274751i | ||||
\(557\) | − | 1.73647i | − | 0.0735766i | −0.999323 | − | 0.0367883i | \(-0.988287\pi\) | ||
0.999323 | − | 0.0367883i | \(-0.0117127\pi\) | |||||||
\(558\) | 5.56282 | − | 5.92380i | 0.235493 | − | 0.250774i | ||||
\(559\) | 0.691404 | + | 1.08948i | 0.0292433 | + | 0.0460800i | ||||
\(560\) | −0.0352588 | − | 5.70478i | −0.00148996 | − | 0.241071i | ||||
\(561\) | 13.3201 | − | 5.27380i | 0.562375 | − | 0.222660i | ||||
\(562\) | 1.00467 | + | 0.0632085i | 0.0423795 | + | 0.00266629i | ||||
\(563\) | 23.1692 | + | 1.45768i | 0.976465 | + | 0.0614340i | 0.542997 | − | 0.839735i | \(-0.317290\pi\) |
0.433468 | + | 0.901169i | \(0.357290\pi\) | |||||||
\(564\) | −8.72443 | + | 3.45425i | −0.367365 | + | 0.145450i | ||||
\(565\) | 0.353109 | + | 0.112324i | 0.0148554 | + | 0.00472551i | ||||
\(566\) | −12.7106 | − | 20.0287i | −0.534266 | − | 0.841869i | ||||
\(567\) | 1.74649 | − | 1.85982i | 0.0733456 | − | 0.0781052i | ||||
\(568\) | 7.48038i | 0.313870i | ||||||||
\(569\) | −5.29539 | − | 4.97270i | −0.221994 | − | 0.208466i | 0.565568 | − | 0.824702i | \(-0.308657\pi\) |
−0.787562 | + | 0.616235i | \(0.788657\pi\) | |||||||
\(570\) | 4.01427 | − | 3.81661i | 0.168139 | − | 0.159860i | ||||
\(571\) | −6.14310 | + | 32.2032i | −0.257081 | + | 1.34766i | 0.586189 | + | 0.810174i | \(0.300627\pi\) |
−0.843270 | + | 0.537490i | \(0.819373\pi\) | |||||||
\(572\) | 7.10302 | − | 12.9203i | 0.296992 | − | 0.540227i | ||||
\(573\) | 16.9571 | + | 10.7613i | 0.708395 | + | 0.449561i | ||||
\(574\) | −1.90627 | − | 5.86691i | −0.0795664 | − | 0.244880i | ||||
\(575\) | −1.94376 | + | 0.395754i | −0.0810605 | + | 0.0165041i | ||||
\(576\) | 0.309017 | − | 0.951057i | 0.0128757 | − | 0.0396274i | ||||
\(577\) | −3.50107 | + | 2.89634i | −0.145751 | + | 0.120576i | −0.707442 | − | 0.706771i | \(-0.750151\pi\) |
0.561691 | + | 0.827347i | \(0.310151\pi\) | |||||||
\(578\) | 7.21898 | + | 1.37709i | 0.300270 | + | 0.0572796i | ||||
\(579\) | −1.00125 | − | 2.12776i | −0.0416105 | − | 0.0884268i | ||||
\(580\) | −18.3771 | + | 0.113581i | −0.763069 | + | 0.00471620i | ||||
\(581\) | 3.93472 | + | 20.6265i | 0.163240 | + | 0.855732i | ||||
\(582\) | −2.98490 | − | 0.969854i | −0.123728 | − | 0.0402017i | ||||
\(583\) | 37.7642 | + | 17.7705i | 1.56403 | + | 0.735979i | ||||
\(584\) | −4.48570 | − | 1.77601i | −0.185619 | − | 0.0734920i | ||||
\(585\) | −5.53660 | − | 4.52293i | −0.228910 | − | 0.187000i | ||||
\(586\) | 20.4030 | + | 5.23859i | 0.842839 | + | 0.216404i | ||||
\(587\) | −2.93018 | + | 7.40078i | −0.120941 | + | 0.305463i | −0.977617 | − | 0.210393i | \(-0.932526\pi\) |
0.856676 | + | 0.515855i | \(0.172526\pi\) | |||||||
\(588\) | 0.122067 | + | 0.475420i | 0.00503397 | + | 0.0196060i | ||||
\(589\) | 10.7861 | − | 16.9962i | 0.444434 | − | 0.700315i | ||||
\(590\) | −3.33753 | + | 13.3406i | −0.137404 | + | 0.549222i | ||||
\(591\) | 0.453405 | − | 7.20667i | 0.0186506 | − | 0.296443i | ||||
\(592\) | −3.37094 | − | 6.13171i | −0.138545 | − | 0.252012i | ||||
\(593\) | −36.7893 | + | 11.9536i | −1.51075 | + | 0.490874i | −0.943133 | − | 0.332416i | \(-0.892136\pi\) |
−0.567622 | + | 0.823290i | \(0.692136\pi\) | |||||||
\(594\) | 4.57518 | + | 0.577980i | 0.187722 | + | 0.0237148i | ||||
\(595\) | −16.5182 | − | 6.42220i | −0.677179 | − | 0.263284i | ||||
\(596\) | −4.97985 | + | 4.67639i | −0.203983 | + | 0.191553i | ||||
\(597\) | 0.532060 | + | 0.566586i | 0.0217758 | + | 0.0231888i | ||||
\(598\) | −0.315444 | + | 1.22857i | −0.0128995 | + | 0.0502402i | ||||
\(599\) | 10.2116 | + | 7.41919i | 0.417237 | + | 0.303140i | 0.776525 | − | 0.630086i | \(-0.216981\pi\) |
−0.359288 | + | 0.933227i | \(0.616981\pi\) | |||||||
\(600\) | −2.18466 | − | 4.49748i | −0.0891882 | − | 0.183609i | ||||
\(601\) | 11.2395 | − | 8.16595i | 0.458467 | − | 0.333096i | −0.334463 | − | 0.942409i | \(-0.608555\pi\) |
0.792930 | + | 0.609313i | \(0.208555\pi\) | |||||||
\(602\) | 0.379047 | + | 0.957363i | 0.0154488 | + | 0.0390192i | ||||
\(603\) | −0.151269 | − | 1.19741i | −0.00616013 | − | 0.0487625i | ||||
\(604\) | −6.79000 | − | 3.73284i | −0.276281 | − | 0.151887i | ||||
\(605\) | 16.8312 | + | 15.6109i | 0.684284 | + | 0.634673i | ||||
\(606\) | 7.40626 | − | 15.7391i | 0.300859 | − | 0.639357i | ||||
\(607\) | 11.0500 | − | 15.2091i | 0.448507 | − | 0.617317i | −0.523569 | − | 0.851983i | \(-0.675400\pi\) |
0.972076 | + | 0.234667i | \(0.0753998\pi\) | |||||||
\(608\) | 0.310467 | − | 2.45760i | 0.0125911 | − | 0.0996687i | ||||
\(609\) | −20.3096 | + | 5.21461i | −0.822985 | + | 0.211307i | ||||
\(610\) | 20.4040 | + | 9.44782i | 0.826135 | + | 0.382531i | ||||
\(611\) | 19.1231 | + | 23.1159i | 0.773638 | + | 0.935168i | ||||
\(612\) | −2.39366 | − | 1.98021i | −0.0967580 | − | 0.0800452i | ||||
\(613\) | 16.4274 | − | 10.4251i | 0.663495 | − | 0.421067i | −0.160986 | − | 0.986957i | \(-0.551467\pi\) |
0.824481 | + | 0.565890i | \(0.191467\pi\) | |||||||
\(614\) | 0.524749 | + | 8.34065i | 0.0211772 | + | 0.336601i | ||||
\(615\) | −3.72537 | − | 3.91831i | −0.150222 | − | 0.158001i | ||||
\(616\) | 7.49958 | − | 9.06544i | 0.302167 | − | 0.365257i | ||||
\(617\) | −35.4705 | + | 6.76635i | −1.42799 | + | 0.272403i | −0.842683 | − | 0.538411i | \(-0.819025\pi\) |
−0.585304 | + | 0.810814i | \(0.699025\pi\) | |||||||
\(618\) | −7.44376 | − | 10.2455i | −0.299432 | − | 0.412133i | ||||
\(619\) | −0.783807 | + | 0.430902i | −0.0315039 | + | 0.0173194i | −0.497428 | − | 0.867505i | \(-0.665722\pi\) |
0.465924 | + | 0.884825i | \(0.345722\pi\) | |||||||
\(620\) | −11.6689 | − | 13.9291i | −0.468633 | − | 0.559405i | ||||
\(621\) | −0.393600 | + | 0.0497232i | −0.0157946 | + | 0.00199532i | ||||
\(622\) | −1.18636 | + | 0.558261i | −0.0475689 | + | 0.0223842i | ||||
\(623\) | −44.5604 | + | 2.80350i | −1.78527 | + | 0.112320i | ||||
\(624\) | −3.19721 | −0.127991 | ||||||||
\(625\) | −23.4648 | − | 8.62571i | −0.938592 | − | 0.345029i | ||||
\(626\) | 6.19158 | 0.247465 | ||||||||
\(627\) | 11.4008 | − | 0.717281i | 0.455306 | − | 0.0286454i | ||||
\(628\) | −4.70890 | + | 2.21584i | −0.187906 | + | 0.0884217i | ||||
\(629\) | −21.5660 | + | 2.72442i | −0.859894 | + | 0.108630i | ||||
\(630\) | −3.66353 | − | 4.37314i | −0.145959 | − | 0.174230i | ||||
\(631\) | −12.0851 | + | 6.64384i | −0.481100 | + | 0.264487i | −0.703798 | − | 0.710401i | \(-0.748514\pi\) |
0.222697 | + | 0.974888i | \(0.428514\pi\) | |||||||
\(632\) | −3.31473 | − | 4.56233i | −0.131853 | − | 0.181480i | ||||
\(633\) | −19.0947 | + | 3.64251i | −0.758947 | + | 0.144777i | ||||
\(634\) | 10.8281 | − | 13.0889i | 0.430039 | − | 0.519827i | ||||
\(635\) | 0.294751 | + | 0.310016i | 0.0116968 | + | 0.0123026i | ||||
\(636\) | −0.568281 | − | 9.03256i | −0.0225338 | − | 0.358164i | ||||
\(637\) | 1.32502 | − | 0.840885i | 0.0524993 | − | 0.0333171i | ||||
\(638\) | −29.2030 | − | 24.1588i | −1.15616 | − | 0.956457i | ||||
\(639\) | 4.76818 | + | 5.76373i | 0.188626 | + | 0.228010i | ||||
\(640\) | −2.02910 | − | 0.939549i | −0.0802072 | − | 0.0371389i | ||||
\(641\) | 8.09332 | − | 2.07801i | 0.319667 | − | 0.0820765i | −0.0854470 | − | 0.996343i | \(-0.527232\pi\) |
0.405114 | + | 0.914266i | \(0.367232\pi\) | |||||||
\(642\) | −1.22203 | + | 9.67338i | −0.0482298 | + | 0.381778i | ||||
\(643\) | −24.8963 | + | 34.2668i | −0.981815 | + | 1.35135i | −0.0459692 | + | 0.998943i | \(0.514638\pi\) |
−0.935846 | + | 0.352410i | \(0.885362\pi\) | |||||||
\(644\) | −0.430963 | + | 0.915843i | −0.0169823 | + | 0.0360893i | ||||
\(645\) | 0.661660 | + | 0.613689i | 0.0260528 | + | 0.0241640i | ||||
\(646\) | −6.74353 | − | 3.70729i | −0.265321 | − | 0.145861i | ||||
\(647\) | −0.605824 | − | 4.79559i | −0.0238174 | − | 0.188534i | 0.975717 | − | 0.219033i | \(-0.0702903\pi\) |
−0.999535 | + | 0.0304992i | \(0.990290\pi\) | |||||||
\(648\) | −0.368125 | − | 0.929776i | −0.0144613 | − | 0.0365251i | ||||
\(649\) | −22.9444 | + | 16.6701i | −0.900645 | + | 0.654357i | ||||
\(650\) | −11.5172 | + | 11.0864i | −0.451741 | + | 0.434845i | ||||
\(651\) | −16.7730 | − | 12.1863i | −0.657387 | − | 0.477619i | ||||
\(652\) | −2.67719 | + | 10.4270i | −0.104847 | + | 0.408351i | ||||
\(653\) | 26.0522 | + | 27.7427i | 1.01950 | + | 1.08566i | 0.996302 | + | 0.0859261i | \(0.0273849\pi\) |
0.0231983 | + | 0.999731i | \(0.492615\pi\) | |||||||
\(654\) | −2.31593 | + | 2.17480i | −0.0905600 | + | 0.0850415i | ||||
\(655\) | 26.3493 | + | 10.2445i | 1.02955 | + | 0.400286i | ||||
\(656\) | −2.39885 | − | 0.303045i | −0.0936593 | − | 0.0118319i | ||||
\(657\) | −4.58836 | + | 1.49085i | −0.179009 | + | 0.0581636i | ||||
\(658\) | 11.5331 | + | 20.9786i | 0.449607 | + | 0.817832i | ||||
\(659\) | −1.45111 | + | 23.0648i | −0.0565274 | + | 0.898477i | 0.862939 | + | 0.505308i | \(0.168621\pi\) |
−0.919466 | + | 0.393169i | \(0.871379\pi\) | |||||||
\(660\) | 2.50264 | − | 10.0034i | 0.0974153 | − | 0.389383i | ||||
\(661\) | 20.7477 | − | 32.6931i | 0.806992 | − | 1.27162i | −0.152056 | − | 0.988372i | \(-0.548589\pi\) |
0.959048 | − | 0.283244i | \(-0.0914106\pi\) | |||||||
\(662\) | 3.75248 | + | 14.6149i | 0.145844 | + | 0.568026i | ||||
\(663\) | −3.65636 | + | 9.23491i | −0.142001 | + | 0.358654i | ||||
\(664\) | 7.97190 | + | 2.04684i | 0.309370 | + | 0.0794326i | ||||
\(665\) | −10.9442 | − | 8.94045i | −0.424397 | − | 0.346696i | ||||
\(666\) | −6.50585 | − | 2.57585i | −0.252097 | − | 0.0998121i | ||||
\(667\) | 2.95026 | + | 1.38829i | 0.114234 | + | 0.0537547i | ||||
\(668\) | 17.4560 | + | 5.67180i | 0.675393 | + | 0.219449i | ||||
\(669\) | −4.23103 | − | 22.1798i | −0.163581 | − | 0.857522i | ||||
\(670\) | −2.69873 | + | 0.0166797i | −0.104261 | + | 0.000644392i | ||||
\(671\) | 19.7444 | + | 41.9589i | 0.762223 | + | 1.61981i | ||||
\(672\) | −2.50611 | − | 0.478067i | −0.0966755 | − | 0.0184418i | ||||
\(673\) | −19.4813 | + | 16.1163i | −0.750949 | + | 0.621239i | −0.932094 | − | 0.362218i | \(-0.882020\pi\) |
0.181145 | + | 0.983456i | \(0.442020\pi\) | |||||||
\(674\) | −5.77439 | + | 17.7718i | −0.222421 | + | 0.684542i | ||||
\(675\) | −4.55010 | − | 2.07281i | −0.175134 | − | 0.0797826i | ||||
\(676\) | −0.858396 | − | 2.64187i | −0.0330152 | − | 0.101610i | ||||
\(677\) | 5.37302 | + | 3.40982i | 0.206502 | + | 0.131050i | 0.635056 | − | 0.772466i | \(-0.280977\pi\) |
−0.428554 | + | 0.903516i | \(0.640977\pi\) | |||||||
\(678\) | 0.0798324 | − | 0.145215i | 0.00306595 | − | 0.00557694i | ||||
\(679\) | −1.50042 | + | 7.86547i | −0.0575808 | + | 0.301849i | ||||
\(680\) | −5.03431 | + | 4.78643i | −0.193057 | + | 0.183551i | ||||
\(681\) | 13.5986 | + | 12.7699i | 0.521100 | + | 0.489345i | ||||
\(682\) | − | 37.4746i | − | 1.43498i | ||||||
\(683\) | −3.47753 | + | 3.70319i | −0.133064 | + | 0.141699i | −0.792049 | − | 0.610457i | \(-0.790986\pi\) |
0.658986 | + | 0.752156i | \(0.270986\pi\) | |||||||
\(684\) | −1.32731 | − | 2.09151i | −0.0507511 | − | 0.0799709i | ||||
\(685\) | 27.5831 | + | 8.77418i | 1.05389 | + | 0.335244i | ||||
\(686\) | 17.7694 | − | 7.03538i | 0.678437 | − | 0.268612i | ||||
\(687\) | −10.7325 | − | 0.675234i | −0.409472 | − | 0.0257618i | ||||
\(688\) | 0.402789 | + | 0.0253414i | 0.0153562 | + | 0.000966130i | ||||
\(689\) | −26.9041 | + | 10.6521i | −1.02497 | + | 0.405813i | ||||
\(690\) | 0.00548275 | + | 0.887094i | 0.000208725 | + | 0.0337711i | ||||
\(691\) | −5.22786 | − | 8.23778i | −0.198877 | − | 0.313380i | 0.730223 | − | 0.683209i | \(-0.239416\pi\) |
−0.929100 | + | 0.369829i | \(0.879416\pi\) | |||||||
\(692\) | 10.9923 | − | 11.7056i | 0.417864 | − | 0.444980i | ||||
\(693\) | − | 11.7655i | − | 0.446933i | ||||||
\(694\) | 9.52265 | + | 8.94237i | 0.361475 | + | 0.339448i | ||||
\(695\) | −3.83683 | + | 20.8114i | −0.145539 | + | 0.789421i | ||||
\(696\) | −1.54002 | + | 8.07309i | −0.0583745 | + | 0.306010i | ||||
\(697\) | −3.61867 | + | 6.58233i | −0.137067 | + | 0.249323i | ||||
\(698\) | −17.5870 | − | 11.1611i | −0.665679 | − | 0.422453i | ||||
\(699\) | −0.626204 | − | 1.92726i | −0.0236852 | − | 0.0728956i | ||||
\(700\) | −10.6854 | + | 6.96790i | −0.403869 | + | 0.263362i | ||||
\(701\) | −11.9989 | + | 36.9289i | −0.453193 | + | 1.39479i | 0.420050 | + | 0.907501i | \(0.362013\pi\) |
−0.873243 | + | 0.487285i | \(0.837987\pi\) | |||||||
\(702\) | −2.46349 | + | 2.03798i | −0.0929786 | + | 0.0769186i | ||||
\(703\) | −17.0260 | − | 3.24789i | −0.642148 | − | 0.122496i | ||||
\(704\) | −1.96350 | − | 4.17265i | −0.0740022 | − | 0.157263i | ||||
\(705\) | 17.0506 | + | 12.2277i | 0.642161 | + | 0.460521i | ||||
\(706\) | 6.00190 | + | 31.4631i | 0.225885 | + | 1.18413i | ||||
\(707\) | −42.2069 | − | 13.7138i | −1.58735 | − | 0.515762i | ||||
\(708\) | 5.56465 | + | 2.61852i | 0.209132 | + | 0.0984102i | ||||
\(709\) | −26.2466 | − | 10.3918i | −0.985711 | − | 0.390271i | −0.180705 | − | 0.983537i | \(-0.557838\pi\) |
−0.805006 | + | 0.593266i | \(0.797838\pi\) | |||||||
\(710\) | 14.0671 | − | 9.04970i | 0.527929 | − | 0.339629i | ||||
\(711\) | −5.46218 | − | 1.40245i | −0.204848 | − | 0.0525960i | ||||
\(712\) | −6.44227 | + | 16.2713i | −0.241434 | + | 0.609793i | ||||
\(713\) | 0.801757 | + | 3.12264i | 0.0300260 | + | 0.116944i | ||||
\(714\) | −4.24688 | + | 6.69200i | −0.158935 | + | 0.250442i | ||||
\(715\) | −32.8903 | + | 2.27345i | −1.23003 | + | 0.0850221i | ||||
\(716\) | 0.817904 | − | 13.0002i | 0.0305665 | − | 0.485841i | ||||
\(717\) | 9.04375 | + | 16.4505i | 0.337745 | + | 0.614356i | ||||
\(718\) | 1.83187 | − | 0.595212i | 0.0683650 | − | 0.0222131i | ||||
\(719\) | −28.4717 | − | 3.59682i | −1.06182 | − | 0.134139i | −0.425031 | − | 0.905179i | \(-0.639737\pi\) |
−0.636786 | + | 0.771040i | \(0.719737\pi\) | |||||||
\(720\) | −2.16234 | + | 0.569463i | −0.0805856 | + | 0.0212226i | ||||
\(721\) | −23.5529 | + | 22.1177i | −0.877157 | + | 0.823705i | ||||
\(722\) | 8.80590 | + | 9.37733i | 0.327722 | + | 0.348988i | ||||
\(723\) | 7.57443 | − | 29.5005i | 0.281696 | − | 1.09713i | ||||
\(724\) | 18.5223 | + | 13.4573i | 0.688377 | + | 0.500135i | ||||
\(725\) | 22.4461 | + | 34.4214i | 0.833627 | + | 1.27838i | ||||
\(726\) | 8.30564 | − | 6.03440i | 0.308251 | − | 0.223957i | ||||
\(727\) | −18.9582 | − | 47.8830i | −0.703121 | − | 1.77588i | −0.627324 | − | 0.778759i | \(-0.715850\pi\) |
−0.0757975 | − | 0.997123i | \(-0.524150\pi\) | |||||||
\(728\) | 1.02235 | + | 8.09275i | 0.0378909 | + | 0.299937i | ||||
\(729\) | −0.876307 | − | 0.481754i | −0.0324558 | − | 0.0178427i | ||||
\(730\) | 2.08690 | + | 10.5841i | 0.0772397 | + | 0.391735i | ||||
\(731\) | 0.533830 | − | 1.13445i | 0.0197444 | − | 0.0419590i | ||||
\(732\) | 5.91059 | − | 8.13523i | 0.218462 | − | 0.300687i | ||||
\(733\) | −1.78044 | + | 14.0936i | −0.0657619 | + | 0.520559i | 0.924483 | + | 0.381223i | \(0.124497\pi\) |
−0.990245 | + | 0.139336i | \(0.955503\pi\) | |||||||
\(734\) | 25.2300 | − | 6.47795i | 0.931255 | − | 0.239106i | ||||
\(735\) | 0.746368 | − | 0.804711i | 0.0275302 | − | 0.0296822i | ||||
\(736\) | 0.252884 | + | 0.305684i | 0.00932143 | + | 0.0112677i | ||||
\(737\) | −4.28853 | − | 3.54778i | −0.157970 | − | 0.130684i | ||||
\(738\) | −2.04151 | + | 1.29558i | −0.0751491 | + | 0.0476911i | ||||
\(739\) | 1.71283 | + | 27.2247i | 0.0630076 | + | 1.00148i | 0.894822 | + | 0.446423i | \(0.147302\pi\) |
−0.831814 | + | 0.555054i | \(0.812698\pi\) | |||||||
\(740\) | −7.45276 | + | 13.7573i | −0.273969 | + | 0.505727i | ||||
\(741\) | −5.04834 | + | 6.10240i | −0.185455 | + | 0.224177i | ||||
\(742\) | −22.6814 | + | 4.32671i | −0.832660 | + | 0.158838i | ||||
\(743\) | 7.61654 | + | 10.4833i | 0.279424 | + | 0.384594i | 0.925543 | − | 0.378643i | \(-0.123609\pi\) |
−0.646119 | + | 0.763237i | \(0.723609\pi\) | |||||||
\(744\) | −7.12111 | + | 3.91486i | −0.261072 | + | 0.143526i | ||||
\(745\) | 14.8187 | + | 3.70732i | 0.542915 | + | 0.135826i | ||||
\(746\) | −15.5796 | + | 1.96817i | −0.570411 | + | 0.0720597i | ||||
\(747\) | 7.44716 | − | 3.50437i | 0.272477 | − | 0.128218i | ||||
\(748\) | −14.2979 | + | 0.899545i | −0.522782 | + | 0.0328906i | ||||
\(749\) | 24.8759 | 0.908946 | ||||||||
\(750\) | −5.81468 | + | 9.54932i | −0.212322 | + | 0.348692i | ||||
\(751\) | −31.1341 | −1.13610 | −0.568049 | − | 0.822995i | \(-0.692302\pi\) | ||||
−0.568049 | + | 0.822995i | \(0.692302\pi\) | |||||||
\(752\) | 9.36485 | − | 0.589186i | 0.341501 | − | 0.0214854i | ||||
\(753\) | −20.2106 | + | 9.51039i | −0.736515 | + | 0.346578i | ||||
\(754\) | 26.0696 | − | 3.29336i | 0.949400 | − | 0.119937i | ||||
\(755\) | 1.19476 | + | 17.2848i | 0.0434818 | + | 0.629057i | ||||
\(756\) | −2.23573 | + | 1.22910i | −0.0813126 | + | 0.0447020i | ||||
\(757\) | −11.4622 | − | 15.7764i | −0.416601 | − | 0.573402i | 0.548212 | − | 0.836339i | \(-0.315309\pi\) |
−0.964813 | + | 0.262938i | \(0.915309\pi\) | |||||||
\(758\) | 16.5931 | − | 3.16531i | 0.602690 | − | 0.114969i | ||||
\(759\) | −1.16619 | + | 1.40968i | −0.0423299 | + | 0.0511680i | ||||
\(760\) | −4.99719 | + | 2.38933i | −0.181267 | + | 0.0866703i | ||||
\(761\) | −0.787628 | − | 12.5190i | −0.0285515 | − | 0.453813i | −0.986166 | − | 0.165760i | \(-0.946992\pi\) |
0.957615 | − | 0.288053i | \(-0.0930078\pi\) | |||||||
\(762\) | 0.161524 | − | 0.102506i | 0.00585140 | − | 0.00371341i | ||||
\(763\) | 6.24538 | + | 5.16663i | 0.226098 | + | 0.187045i | ||||
\(764\) | −12.8018 | − | 15.4747i | −0.463152 | − | 0.559854i | ||||
\(765\) | −0.828020 | + | 6.89700i | −0.0299371 | + | 0.249362i | ||||
\(766\) | −18.1436 | + | 4.65849i | −0.655556 | + | 0.168318i | ||||
\(767\) | 2.46439 | − | 19.5077i | 0.0889840 | − | 0.704381i | ||||
\(768\) | −0.587785 | + | 0.809017i | −0.0212099 | + | 0.0291929i | ||||
\(769\) | −8.54023 | + | 18.1489i | −0.307968 | + | 0.654466i | −0.997566 | − | 0.0697264i | \(-0.977787\pi\) |
0.689598 | + | 0.724193i | \(0.257787\pi\) | |||||||
\(770\) | −26.1208 | − | 3.13593i | −0.941328 | − | 0.113011i | ||||
\(771\) | −2.47001 | − | 1.35790i | −0.0889551 | − | 0.0489035i | ||||
\(772\) | 0.294730 | + | 2.33303i | 0.0106076 | + | 0.0839674i | ||||
\(773\) | −7.03440 | − | 17.7669i | −0.253010 | − | 0.639029i | 0.746647 | − | 0.665220i | \(-0.231662\pi\) |
−0.999657 | + | 0.0261907i | \(0.991662\pi\) | |||||||
\(774\) | 0.326508 | − | 0.237222i | 0.0117361 | − | 0.00852676i | ||||
\(775\) | −12.0772 | + | 38.7950i | −0.433825 | + | 1.39356i | ||||
\(776\) | 2.53911 | + | 1.84477i | 0.0911487 | + | 0.0662234i | ||||
\(777\) | −4.43962 | + | 17.2912i | −0.159271 | + | 0.620318i | ||||
\(778\) | −24.1175 | − | 25.6826i | −0.864656 | − | 0.920765i | ||||
\(779\) | −4.36615 | + | 4.10008i | −0.156433 | + | 0.146901i | ||||
\(780\) | 3.86796 | + | 6.01247i | 0.138495 | + | 0.215281i | ||||
\(781\) | 34.2241 | + | 4.32351i | 1.22463 | + | 0.154707i | ||||
\(782\) | 1.17215 | − | 0.380854i | 0.0419159 | − | 0.0136193i | ||||
\(783\) | 3.95937 | + | 7.20207i | 0.141496 | + | 0.257381i | ||||
\(784\) | 0.0308202 | − | 0.489872i | 0.00110072 | − | 0.0174954i | ||||
\(785\) | 9.86375 | + | 6.17454i | 0.352052 | + | 0.220379i | ||||
\(786\) | 6.77449 | − | 10.6749i | 0.241638 | − | 0.380760i | ||||
\(787\) | −3.89580 | − | 15.1731i | −0.138870 | − | 0.540864i | −0.999500 | − | 0.0316320i | \(-0.989930\pi\) |
0.860629 | − | 0.509232i | \(-0.170070\pi\) | |||||||
\(788\) | −2.65820 | + | 6.71384i | −0.0946944 | + | 0.239171i | ||||
\(789\) | 18.2043 | + | 4.67407i | 0.648090 | + | 0.166401i | ||||
\(790\) | −4.56949 | + | 11.7529i | −0.162575 | + | 0.418150i | ||||
\(791\) | −0.393093 | − | 0.155637i | −0.0139768 | − | 0.00553380i | ||||
\(792\) | −4.17265 | − | 1.96350i | −0.148269 | − | 0.0697699i | ||||
\(793\) | −30.5767 | − | 9.93496i | −1.08581 | − | 0.352801i | ||||
\(794\) | −3.58812 | − | 18.8096i | −0.127338 | − | 0.667527i | ||||
\(795\) | −16.2985 | + | 11.9962i | −0.578049 | + | 0.425461i | ||||
\(796\) | −0.330934 | − | 0.703271i | −0.0117297 | − | 0.0249268i | ||||
\(797\) | −29.2076 | − | 5.57164i | −1.03459 | − | 0.197358i | −0.358000 | − | 0.933722i | \(-0.616541\pi\) |
−0.676586 | + | 0.736364i | \(0.736541\pi\) | |||||||
\(798\) | −4.86958 | + | 4.02846i | −0.172381 | + | 0.142606i | ||||
\(799\) | 9.00790 | − | 27.7235i | 0.318677 | − | 0.980786i | ||||
\(800\) | 0.687934 | + | 4.95245i | 0.0243221 | + | 0.175095i | ||||
\(801\) | 5.40787 | + | 16.6437i | 0.191078 | + | 0.588077i | ||||
\(802\) | −17.5394 | − | 11.1308i | −0.619337 | − | 0.393043i | ||||
\(803\) | −10.7182 | + | 19.4964i | −0.378238 | + | 0.688012i | ||||
\(804\) | −0.226156 | + | 1.18555i | −0.00797592 | + | 0.0418112i | ||||
\(805\) | 2.24365 | − | 0.297538i | 0.0790782 | − | 0.0104868i | ||||
\(806\) | 18.9396 | + | 17.7855i | 0.667120 | + | 0.626468i | ||||
\(807\) | − | 26.2434i | − | 0.923812i | ||||||
\(808\) | −11.9074 | + | 12.6801i | −0.418901 | + | 0.446085i | ||||
\(809\) | 10.3157 | + | 16.2549i | 0.362681 | + | 0.571493i | 0.975846 | − | 0.218462i | \(-0.0701039\pi\) |
−0.613165 | + | 0.789955i | \(0.710104\pi\) | |||||||
\(810\) | −1.30312 | + | 1.81711i | −0.0457870 | + | 0.0638466i | ||||
\(811\) | 12.1750 | − | 4.82041i | 0.427521 | − | 0.169268i | −0.144503 | − | 0.989504i | \(-0.546158\pi\) |
0.572024 | + | 0.820237i | \(0.306158\pi\) | |||||||
\(812\) | 20.9270 | + | 1.31661i | 0.734392 | + | 0.0462040i | ||||
\(813\) | −25.5253 | − | 1.60591i | −0.895210 | − | 0.0563219i | ||||
\(814\) | −30.0020 | + | 11.8786i | −1.05157 | + | 0.416346i | ||||
\(815\) | 22.8471 | − | 7.57989i | 0.800298 | − | 0.265512i | ||||
\(816\) | 1.66459 | + | 2.62297i | 0.0582723 | + | 0.0918224i | ||||
\(817\) | 0.684365 | − | 0.728775i | 0.0239429 | − | 0.0254966i | ||||
\(818\) | − | 39.1410i | − | 1.36853i | ||||||
\(819\) | 5.94625 | + | 5.58390i | 0.207779 | + | 0.195117i | ||||
\(820\) | 2.33222 | + | 4.87773i | 0.0814446 | + | 0.170338i | ||||
\(821\) | 4.31246 | − | 22.6067i | 0.150506 | − | 0.788979i | −0.824339 | − | 0.566096i | \(-0.808453\pi\) |
0.974845 | − | 0.222883i | \(-0.0715468\pi\) | |||||||
\(822\) | 6.23610 | − | 11.3434i | 0.217509 | − | 0.395647i | ||||
\(823\) | −34.0722 | − | 21.6229i | −1.18768 | − | 0.753725i | −0.212940 | − | 0.977065i | \(-0.568304\pi\) |
−0.974741 | + | 0.223340i | \(0.928304\pi\) | |||||||
\(824\) | 3.91342 | + | 12.0443i | 0.136330 | + | 0.419582i | ||||
\(825\) | −21.8394 | + | 7.39574i | −0.760352 | + | 0.257487i | ||||
\(826\) | 4.84861 | − | 14.9225i | 0.168705 | − | 0.519219i | ||||
\(827\) | −33.3621 | + | 27.5996i | −1.16011 | + | 0.959731i | −0.999627 | − | 0.0273072i | \(-0.991307\pi\) |
−0.160488 | + | 0.987038i | \(0.551307\pi\) | |||||||
\(828\) | 0.389701 | + | 0.0743395i | 0.0135430 | + | 0.00258347i | ||||
\(829\) | 17.3910 | + | 36.9578i | 0.604014 | + | 1.28360i | 0.939822 | + | 0.341665i | \(0.110991\pi\) |
−0.335807 | + | 0.941931i | \(0.609009\pi\) | |||||||
\(830\) | −5.79519 | − | 17.4677i | −0.201154 | − | 0.606312i | ||||
\(831\) | 2.43379 | + | 12.7584i | 0.0844272 | + | 0.442583i | ||||
\(832\) | 3.04073 | + | 0.987993i | 0.105418 | + | 0.0342525i | ||||
\(833\) | −1.37971 | − | 0.649244i | −0.0478043 | − | 0.0224950i | ||||
\(834\) | 8.79939 | + | 3.48392i | 0.304698 | + | 0.120638i | ||||
\(835\) | −10.4521 | − | 39.6883i | −0.361710 | − | 1.37347i | ||||
\(836\) | −11.0645 | − | 2.84088i | −0.382674 | − | 0.0982539i | ||||
\(837\) | −2.99148 | + | 7.55562i | −0.103401 | + | 0.261160i | ||||
\(838\) | 4.68939 | + | 18.2640i | 0.161992 | + | 0.630918i | ||||
\(839\) | 23.9949 | − | 37.8100i | 0.828397 | − | 1.30534i | −0.121440 | − | 0.992599i | \(-0.538751\pi\) |
0.949837 | − | 0.312746i | \(-0.101249\pi\) | |||||||
\(840\) | 2.13285 | + | 5.29119i | 0.0735904 | + | 0.182564i | ||||
\(841\) | 2.42035 | − | 38.4704i | 0.0834604 | − | 1.32657i | ||||
\(842\) | −16.4989 | − | 30.0114i | −0.568590 | − | 1.03426i | ||||
\(843\) | −0.957388 | + | 0.311074i | −0.0329742 | + | 0.0107140i | ||||
\(844\) | 19.2857 | + | 2.43636i | 0.663843 | + | 0.0838629i | ||||
\(845\) | −3.92965 | + | 4.81036i | −0.135184 | + | 0.165481i | ||||
\(846\) | 6.84018 | − | 6.42335i | 0.235170 | − | 0.220839i | ||||
\(847\) | −17.9300 | − | 19.0935i | −0.616083 | − | 0.656062i | ||||
\(848\) | −2.25075 | + | 8.76608i | −0.0772910 | + | 0.301029i | ||||
\(849\) | 19.1911 | + | 13.9431i | 0.658636 | + | 0.478527i | ||||
\(850\) | 15.0915 | + | 3.67662i | 0.517634 | + | 0.126107i | ||||
\(851\) | 2.24583 | − | 1.63169i | 0.0769860 | − | 0.0559336i | ||||
\(852\) | −2.75371 | − | 6.95508i | −0.0943406 | − | 0.238277i | ||||
\(853\) | 5.31947 | + | 42.1079i | 0.182135 | + | 1.44175i | 0.772707 | + | 0.634763i | \(0.218902\pi\) |
−0.590572 | + | 0.806985i | \(0.701098\pi\) | |||||||
\(854\) | −22.4818 | − | 12.3595i | −0.769311 | − | 0.422932i | ||||
\(855\) | −2.32738 | + | 5.02634i | −0.0795948 | + | 0.171897i | ||||
\(856\) | 4.15146 | − | 8.82231i | 0.141894 | − | 0.301540i | ||||
\(857\) | −13.2716 | + | 18.2667i | −0.453348 | + | 0.623980i | −0.973113 | − | 0.230330i | \(-0.926020\pi\) |
0.519765 | + | 0.854309i | \(0.326020\pi\) | |||||||
\(858\) | −1.84792 | + | 14.6278i | −0.0630871 | + | 0.499386i | ||||
\(859\) | 21.4732 | − | 5.51338i | 0.732656 | − | 0.188114i | 0.136111 | − | 0.990694i | \(-0.456540\pi\) |
0.596545 | + | 0.802580i | \(0.296540\pi\) | |||||||
\(860\) | −0.439636 | − | 0.788117i | −0.0149914 | − | 0.0268746i | ||||
\(861\) | 3.93216 | + | 4.75317i | 0.134008 | + | 0.161988i | ||||
\(862\) | −24.8238 | − | 20.5360i | −0.845502 | − | 0.699460i | ||||
\(863\) | −24.6996 | + | 15.6748i | −0.840783 | + | 0.533577i | −0.885079 | − | 0.465442i | \(-0.845896\pi\) |
0.0442960 | + | 0.999018i | \(0.485896\pi\) | |||||||
\(864\) | 0.0627905 | + | 0.998027i | 0.00213618 | + | 0.0339536i | ||||
\(865\) | −35.3111 | − | 6.51004i | −1.20061 | − | 0.221348i | ||||
\(866\) | 2.36183 | − | 2.85496i | 0.0802581 | − | 0.0970154i | ||||
\(867\) | −7.21898 | + | 1.37709i | −0.245169 | + | 0.0467686i | ||||
\(868\) | 12.1863 | + | 16.7730i | 0.413631 | + | 0.569314i | ||||
\(869\) | −22.7893 | + | 12.5285i | −0.773075 | + | 0.425001i | ||||
\(870\) | 17.0448 | − | 6.87068i | 0.577874 | − | 0.232938i | ||||
\(871\) | 3.82839 | − | 0.483638i | 0.129720 | − | 0.0163874i | ||||
\(872\) | 2.87463 | − | 1.35270i | 0.0973473 | − | 0.0458081i | ||||
\(873\) | 3.13232 | − | 0.197069i | 0.106013 | − | 0.00666977i | ||||
\(874\) | 0.982747 | 0.0332419 | ||||||||
\(875\) | 26.0304 | + | 11.6645i | 0.879990 | + | 0.394333i | ||||
\(876\) | 4.82449 | 0.163004 | ||||||||
\(877\) | 29.0999 | − | 1.83081i | 0.982635 | − | 0.0618222i | 0.436663 | − | 0.899625i | \(-0.356160\pi\) |
0.545972 | + | 0.837803i | \(0.316160\pi\) | |||||||
\(878\) | −3.46045 | + | 1.62837i | −0.116785 | + | 0.0549547i | ||||
\(879\) | −20.8987 | + | 2.64011i | −0.704894 | + | 0.0890489i | ||||
\(880\) | −5.47138 | + | 8.74046i | −0.184440 | + | 0.294641i | ||||
\(881\) | 9.39837 | − | 5.16680i | 0.316639 | − | 0.174074i | −0.315506 | − | 0.948923i | \(-0.602174\pi\) |
0.632146 | + | 0.774850i | \(0.282174\pi\) | |||||||
\(882\) | −0.288509 | − | 0.397099i | −0.00971461 | − | 0.0133710i | ||||
\(883\) | −26.3245 | + | 5.02167i | −0.885890 | + | 0.168993i | −0.610194 | − | 0.792252i | \(-0.708908\pi\) |
−0.275696 | + | 0.961245i | \(0.588908\pi\) | |||||||
\(884\) | 6.33115 | − | 7.65305i | 0.212940 | − | 0.257400i | ||||
\(885\) | −1.80784 | − | 13.6324i | −0.0607698 | − | 0.458247i | ||||
\(886\) | −0.764395 | − | 12.1497i | −0.0256803 | − | 0.408177i | ||||
\(887\) | 24.0418 | − | 15.2574i | 0.807243 | − | 0.512292i | −0.0670159 | − | 0.997752i | \(-0.521348\pi\) |
0.874259 | + | 0.485460i | \(0.161348\pi\) | |||||||
\(888\) | 5.39145 | + | 4.46020i | 0.180925 | + | 0.149674i | ||||
\(889\) | −0.311112 | − | 0.376070i | −0.0104344 | − | 0.0126130i | ||||
\(890\) | 38.3925 | − | 7.56998i | 1.28692 | − | 0.253746i | ||||
\(891\) | −4.46666 | + | 1.14684i | −0.149639 | + | 0.0384207i | ||||
\(892\) | −2.83000 | + | 22.4017i | −0.0947553 | + | 0.750065i | ||||
\(893\) | 13.6624 | − | 18.8046i | 0.457194 | − | 0.629273i | ||||
\(894\) | 2.90866 | − | 6.18121i | 0.0972800 | − | 0.206731i | ||||
\(895\) | −25.4368 | + | 14.1894i | −0.850260 | + | 0.474301i | ||||
\(896\) | 2.23573 | + | 1.22910i | 0.0746904 | + | 0.0410614i | ||||
\(897\) | −0.158976 | − | 1.25842i | −0.00530805 | − | 0.0420175i | ||||
\(898\) | 13.6809 | + | 34.5539i | 0.456536 | + | 1.15308i | ||||
\(899\) | 54.0319 | − | 39.2565i | 1.80206 | − | 1.30928i | ||||
\(900\) | 3.68687 | + | 3.37742i | 0.122896 | + | 0.112581i | ||||
\(901\) | 22.7462 | + | 16.5261i | 0.757786 | + | 0.550564i | ||||
\(902\) | −2.77297 | + | 10.8000i | −0.0923298 | + | 0.359601i | ||||
\(903\) | −0.704858 | − | 0.750598i | −0.0234562 | − | 0.0249783i | ||||
\(904\) | −0.120799 | + | 0.113438i | −0.00401771 | + | 0.00377288i | ||||
\(905\) | 2.89868 | − | 51.1123i | 0.0963555 | − | 1.69903i | ||||
\(906\) | 7.68733 | + | 0.971136i | 0.255395 | + | 0.0322638i | ||||
\(907\) | −25.4386 | + | 8.26550i | −0.844675 | + | 0.274452i | −0.699214 | − | 0.714912i | \(-0.746467\pi\) |
−0.145461 | + | 0.989364i | \(0.546467\pi\) | |||||||
\(908\) | −8.98692 | − | 16.3471i | −0.298241 | − | 0.542499i | ||||
\(909\) | −1.09222 | + | 17.3603i | −0.0362265 | + | 0.575804i | ||||
\(910\) | 13.9818 | − | 11.7131i | 0.463494 | − | 0.388285i | ||||
\(911\) | 8.99213 | − | 14.1693i | 0.297923 | − | 0.469451i | −0.662083 | − | 0.749430i | \(-0.730328\pi\) |
0.960006 | + | 0.279979i | \(0.0903276\pi\) | |||||||
\(912\) | 0.616037 | + | 2.39931i | 0.0203990 | + | 0.0794490i | ||||
\(913\) | 13.9722 | − | 35.2898i | 0.462414 | − | 1.16792i | ||||
\(914\) | −29.2800 | − | 7.51783i | −0.968496 | − | 0.248668i | ||||
\(915\) | −22.4492 | − | 1.27314i | −0.742146 | − | 0.0420886i | ||||
\(916\) | 9.99859 | + | 3.95872i | 0.330363 | + | 0.130800i | ||||
\(917\) | −29.1864 | − | 13.7341i | −0.963819 | − | 0.453539i | ||||
\(918\) | 2.95453 | + | 0.959986i | 0.0975141 | + | 0.0316843i | ||||
\(919\) | 0.489920 | + | 2.56825i | 0.0161610 | + | 0.0847188i | 0.989454 | − | 0.144848i | \(-0.0462692\pi\) |
−0.973293 | + | 0.229566i | \(0.926269\pi\) | |||||||
\(920\) | 0.268913 | − | 0.845371i | 0.00886579 | − | 0.0278711i | ||||
\(921\) | −3.55830 | − | 7.56177i | −0.117250 | − | 0.249169i | ||||
\(922\) | −11.4167 | − | 2.17785i | −0.375989 | − | 0.0717238i | ||||
\(923\) | −18.4279 | + | 15.2449i | −0.606561 | + | 0.501791i | ||||
\(924\) | −3.63573 | + | 11.1896i | −0.119607 | + | 0.368111i | ||||
\(925\) | 34.8873 | − | 2.62823i | 1.14709 | − | 0.0864156i | ||||
\(926\) | 6.93886 | + | 21.3556i | 0.228025 | + | 0.701789i | ||||
\(927\) | 10.6926 | + | 6.78576i | 0.351192 | + | 0.222873i | ||||
\(928\) | 3.95937 | − | 7.20207i | 0.129973 | − | 0.236420i | ||||
\(929\) | 5.50853 | − | 28.8767i | 0.180729 | − | 0.947415i | −0.770152 | − | 0.637860i | \(-0.779820\pi\) |
0.950881 | − | 0.309555i | \(-0.100180\pi\) | |||||||
\(930\) | 15.9771 | + | 8.65532i | 0.523909 | + | 0.283819i | ||||
\(931\) | −0.886336 | − | 0.832325i | −0.0290485 | − | 0.0272783i | ||||
\(932\) | 2.02644i | 0.0663782i | ||||||||
\(933\) | 0.897544 | − | 0.955787i | 0.0293843 | − | 0.0312911i | ||||
\(934\) | 13.7489 | + | 21.6648i | 0.449878 | + | 0.708894i | ||||
\(935\) | 18.9890 | + | 25.7993i | 0.621008 | + | 0.843729i | ||||
\(936\) | 2.97269 | − | 1.17697i | 0.0971655 | − | 0.0384706i | ||||
\(937\) | 4.81064 | + | 0.302660i | 0.157157 | + | 0.00988746i | 0.141174 | − | 0.989985i | \(-0.454912\pi\) |
0.0159827 | + | 0.999872i | \(0.494912\pi\) | |||||||
\(938\) | 3.07317 | + | 0.193348i | 0.100343 | + | 0.00631302i | ||||
\(939\) | −5.75679 | + | 2.27927i | −0.187866 | + | 0.0743813i | ||||
\(940\) | −12.4375 | − | 16.8981i | −0.405666 | − | 0.551156i | ||||
\(941\) | −17.8400 | − | 28.1114i | −0.581569 | − | 0.916405i | −0.999967 | − | 0.00814175i | \(-0.997408\pi\) |
0.418398 | − | 0.908264i | \(-0.362592\pi\) | |||||||
\(942\) | 3.56252 | − | 3.79370i | 0.116073 | − | 0.123605i | ||||
\(943\) | − | 0.959254i | − | 0.0312376i | ||||||
\(944\) | −4.48313 | − | 4.20993i | −0.145913 | − | 0.137022i | ||||
\(945\) | 5.01613 | + | 2.71740i | 0.163175 | + | 0.0883971i | ||||
\(946\) | 0.348745 | − | 1.82819i | 0.0113387 | − | 0.0594395i | ||||
\(947\) | 7.21448 | − | 13.1231i | 0.234439 | − | 0.426443i | −0.732751 | − | 0.680497i | \(-0.761764\pi\) |
0.967190 | + | 0.254054i | \(0.0817640\pi\) | |||||||
\(948\) | 4.76146 | + | 3.02171i | 0.154645 | + | 0.0981407i | ||||
\(949\) | −4.76656 | − | 14.6700i | −0.154729 | − | 0.476207i | ||||
\(950\) | 10.5388 | + | 6.50679i | 0.341923 | + | 0.211108i | ||||
\(951\) | −5.24936 | + | 16.1559i | −0.170222 | + | 0.523890i | ||||
\(952\) | 6.10696 | − | 5.05212i | 0.197928 | − | 0.163740i | ||||
\(953\) | 5.06336 | + | 0.965887i | 0.164018 | + | 0.0312881i | 0.268736 | − | 0.963214i | \(-0.413394\pi\) |
−0.104718 | + | 0.994502i | \(0.533394\pi\) | |||||||
\(954\) | 3.85348 | + | 8.18907i | 0.124761 | + | 0.265131i | ||||
\(955\) | −13.6132 | + | 42.7953i | −0.440513 | + | 1.38482i | ||||
\(956\) | −3.51763 | − | 18.4401i | −0.113768 | − | 0.596394i | ||||
\(957\) | 36.0457 | + | 11.7120i | 1.16519 | + | 0.378594i | ||||
\(958\) | 36.4512 | + | 17.1526i | 1.17769 | + | 0.554177i | ||||
\(959\) | −30.7064 | − | 12.1575i | −0.991562 | − | 0.392587i | ||||
\(960\) | 2.23248 | + | 0.126609i | 0.0720530 | + | 0.00408627i | ||||
\(961\) | 33.9356 | + | 8.71317i | 1.09470 | + | 0.281070i | ||||
\(962\) | 8.23554 | − | 20.8006i | 0.265524 | − | 0.670638i | ||||
\(963\) | −2.42479 | − | 9.44395i | −0.0781379 | − | 0.304327i | ||||
\(964\) | −16.3199 | + | 25.7160i | −0.525627 | + | 0.828256i | ||||
\(965\) | 4.03077 | − | 3.37672i | 0.129755 | − | 0.108701i | ||||
\(966\) | 0.0635550 | − | 1.01018i | 0.00204485 | − | 0.0325019i | ||||
\(967\) | 12.6303 | + | 22.9745i | 0.406165 | + | 0.738811i | 0.997723 | − | 0.0674518i | \(-0.0214869\pi\) |
−0.591558 | + | 0.806262i | \(0.701487\pi\) | |||||||
\(968\) | −9.76386 | + | 3.17247i | −0.313822 | + | 0.101967i | ||||
\(969\) | 7.63472 | + | 0.964490i | 0.245263 | + | 0.0309839i | ||||
\(970\) | 0.397363 | − | 7.00667i | 0.0127585 | − | 0.224971i | ||||
\(971\) | 29.8902 | − | 28.0688i | 0.959222 | − | 0.900769i | −0.0359066 | − | 0.999355i | \(-0.511432\pi\) |
0.995129 | + | 0.0985858i | \(0.0314319\pi\) | |||||||
\(972\) | 0.684547 | + | 0.728969i | 0.0219569 | + | 0.0233817i | ||||
\(973\) | 6.00474 | − | 23.3869i | 0.192503 | − | 0.749751i | ||||
\(974\) | 16.7951 | + | 12.2023i | 0.538148 | + | 0.390988i | ||||
\(975\) | 6.62722 | − | 14.5477i | 0.212241 | − | 0.465898i | ||||
\(976\) | −8.13523 | + | 5.91059i | −0.260402 | + | 0.189193i | ||||
\(977\) | −9.19808 | − | 23.2317i | −0.294273 | − | 0.743248i | −0.999416 | − | 0.0341826i | \(-0.989117\pi\) |
0.705143 | − | 0.709065i | \(-0.250883\pi\) | |||||||
\(978\) | −1.34923 | − | 10.6803i | −0.0431437 | − | 0.341518i | ||||
\(979\) | 70.7207 | + | 38.8790i | 2.26024 | + | 1.24258i | ||||
\(980\) | −0.958507 | + | 0.534685i | −0.0306184 | + | 0.0170799i | ||||
\(981\) | 1.35270 | − | 2.87463i | 0.0431883 | − | 0.0917799i | ||||
\(982\) | −1.15850 | + | 1.59454i | −0.0369693 | + | 0.0508839i | ||||
\(983\) | −1.99119 | + | 15.7619i | −0.0635090 | + | 0.502725i | 0.927989 | + | 0.372607i | \(0.121536\pi\) |
−0.991498 | + | 0.130119i | \(0.958464\pi\) | |||||||
\(984\) | 2.34195 | − | 0.601311i | 0.0746586 | − | 0.0191691i | ||||
\(985\) | 15.8415 | − | 3.12351i | 0.504751 | − | 0.0995234i | ||||
\(986\) | −16.2747 | − | 19.6727i | −0.518291 | − | 0.626507i | ||||
\(987\) | −18.4460 | − | 15.2598i | −0.587141 | − | 0.485725i | ||||
\(988\) | 6.68700 | − | 4.24370i | 0.212742 | − | 0.135010i | ||||
\(989\) | 0.0100536 | + | 0.159798i | 0.000319687 | + | 0.00508128i | ||||
\(990\) | 1.35561 | + | 10.2222i | 0.0430840 | + | 0.324884i | ||||
\(991\) | 4.20570 | − | 5.08382i | 0.133598 | − | 0.161493i | −0.699471 | − | 0.714661i | \(-0.746581\pi\) |
0.833070 | + | 0.553168i | \(0.186581\pi\) | |||||||
\(992\) | 7.98233 | − | 1.52271i | 0.253439 | − | 0.0483461i | ||||
\(993\) | −8.86908 | − | 12.2072i | −0.281452 | − | 0.387385i | ||||
\(994\) | −16.7241 | + | 9.19414i | −0.530456 | + | 0.291621i | ||||
\(995\) | −0.922164 | + | 1.47314i | −0.0292346 | + | 0.0467018i | ||||
\(996\) | −8.16558 | + | 1.03155i | −0.258736 | + | 0.0326860i | ||||
\(997\) | −36.4655 | + | 17.1594i | −1.15487 | + | 0.543443i | −0.905241 | − | 0.424898i | \(-0.860310\pi\) |
−0.249633 | + | 0.968340i | \(0.580310\pi\) | |||||||
\(998\) | 7.53490 | − | 0.474056i | 0.238513 | − | 0.0150060i | ||||
\(999\) | 6.99722 | 0.221382 |
(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 | 750.2.o.a.469.8 | yes | 240 | |
125.4 | even | 50 | inner | 750.2.o.a.379.8 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
750.2.o.a.379.8 | ✓ | 240 | 125.4 | even | 50 | inner | |
750.2.o.a.469.8 | yes | 240 | 1.1 | even | 1 | trivial |