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: | \(280\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{50})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{50}]$ |
Embedding invariants
Embedding label | 469.13 | ||
Character | \(\chi\) | \(=\) | 750.469 |
Dual form | 750.2.o.b.379.13 |
$q$-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 | ||||
\(5\) | 1.53820 | + | 1.62295i | 0.687902 | + | 0.725803i | ||||
\(6\) | 0.876307 | − | 0.481754i | 0.357751 | − | 0.196675i | ||||
\(7\) | −2.30964 | − | 3.17894i | −0.872960 | − | 1.20153i | −0.978321 | − | 0.207092i | \(-0.933600\pi\) |
0.105361 | − | 0.994434i | \(-0.466400\pi\) | |||||||
\(8\) | 0.982287 | − | 0.187381i | 0.347291 | − | 0.0662493i | ||||
\(9\) | 0.637424 | − | 0.770513i | 0.212475 | − | 0.256838i | ||||
\(10\) | 1.63707 | + | 1.52316i | 0.517686 | + | 0.481665i | ||||
\(11\) | −0.118318 | − | 1.88061i | −0.0356742 | − | 0.567025i | −0.974748 | − | 0.223309i | \(-0.928314\pi\) |
0.939073 | − | 0.343716i | \(-0.111686\pi\) | |||||||
\(12\) | 0.844328 | − | 0.535827i | 0.243736 | − | 0.154680i | ||||
\(13\) | 3.84529 | + | 3.18110i | 1.06649 | + | 0.882279i | 0.993361 | − | 0.115043i | \(-0.0367005\pi\) |
0.0731321 | + | 0.997322i | \(0.476701\pi\) | |||||||
\(14\) | −2.50468 | − | 3.02764i | −0.669405 | − | 0.809172i | ||||
\(15\) | 2.08282 | + | 0.813553i | 0.537781 | + | 0.210058i | ||||
\(16\) | 0.968583 | − | 0.248690i | 0.242146 | − | 0.0621725i | ||||
\(17\) | 0.667741 | − | 5.28571i | 0.161951 | − | 1.28197i | −0.676274 | − | 0.736650i | \(-0.736407\pi\) |
0.838225 | − | 0.545324i | \(-0.183593\pi\) | |||||||
\(18\) | 0.587785 | − | 0.809017i | 0.138542 | − | 0.190687i | ||||
\(19\) | 1.01901 | − | 2.16551i | 0.233778 | − | 0.496803i | −0.753174 | − | 0.657822i | \(-0.771478\pi\) |
0.986951 | + | 0.161019i | \(0.0514779\pi\) | |||||||
\(20\) | 1.72948 | + | 1.41736i | 0.386723 | + | 0.316931i | ||||
\(21\) | −3.44335 | − | 1.89300i | −0.751400 | − | 0.413086i | ||||
\(22\) | −0.236169 | − | 1.86947i | −0.0503514 | − | 0.398572i | ||||
\(23\) | 1.28546 | + | 3.24670i | 0.268037 | + | 0.676984i | 0.999990 | − | 0.00437037i | \(-0.00139114\pi\) |
−0.731953 | + | 0.681355i | \(0.761391\pi\) | |||||||
\(24\) | 0.809017 | − | 0.587785i | 0.165140 | − | 0.119981i | ||||
\(25\) | −0.267903 | + | 4.99282i | −0.0535806 | + | 0.998564i | ||||
\(26\) | 4.03745 | + | 2.93338i | 0.791809 | + | 0.575283i | ||||
\(27\) | 0.248690 | − | 0.968583i | 0.0478604 | − | 0.186404i | ||||
\(28\) | −2.68985 | − | 2.86440i | −0.508334 | − | 0.541321i | ||||
\(29\) | −2.88606 | + | 2.71019i | −0.535928 | + | 0.503270i | −0.904584 | − | 0.426296i | \(-0.859818\pi\) |
0.368656 | + | 0.929566i | \(0.379818\pi\) | |||||||
\(30\) | 2.12979 | + | 0.681166i | 0.388845 | + | 0.124363i | ||||
\(31\) | 7.86450 | + | 0.993518i | 1.41251 | + | 0.178441i | 0.794277 | − | 0.607556i | \(-0.207850\pi\) |
0.618230 | + | 0.785997i | \(0.287850\pi\) | |||||||
\(32\) | 0.951057 | − | 0.309017i | 0.168125 | − | 0.0546270i | ||||
\(33\) | −0.907782 | − | 1.65125i | −0.158025 | − | 0.287446i | ||||
\(34\) | 0.334531 | − | 5.31721i | 0.0573715 | − | 0.911894i | ||||
\(35\) | 1.60657 | − | 8.63825i | 0.271560 | − | 1.46013i | ||||
\(36\) | 0.535827 | − | 0.844328i | 0.0893045 | − | 0.140721i | ||||
\(37\) | 2.55731 | + | 9.96008i | 0.420420 | + | 1.63743i | 0.727764 | + | 0.685828i | \(0.240560\pi\) |
−0.307344 | + | 0.951599i | \(0.599440\pi\) | |||||||
\(38\) | 0.881029 | − | 2.22523i | 0.142922 | − | 0.360979i | ||||
\(39\) | 4.83377 | + | 1.24110i | 0.774023 | + | 0.198735i | ||||
\(40\) | 1.81506 | + | 1.30597i | 0.286986 | + | 0.206492i | ||||
\(41\) | −7.03341 | − | 2.78473i | −1.09843 | − | 0.434901i | −0.252180 | − | 0.967680i | \(-0.581148\pi\) |
−0.846254 | + | 0.532779i | \(0.821148\pi\) | |||||||
\(42\) | −3.55541 | − | 1.67305i | −0.548612 | − | 0.258157i | ||||
\(43\) | −9.43647 | − | 3.06609i | −1.43905 | − | 0.467575i | −0.517447 | − | 0.855715i | \(-0.673118\pi\) |
−0.921600 | + | 0.388140i | \(0.873118\pi\) | |||||||
\(44\) | −0.353088 | − | 1.85095i | −0.0532300 | − | 0.279042i | ||||
\(45\) | 2.23098 | − | 0.150697i | 0.332575 | − | 0.0224645i | ||||
\(46\) | 1.48679 | + | 3.15958i | 0.219215 | + | 0.465855i | ||||
\(47\) | −7.86249 | − | 1.49985i | −1.14686 | − | 0.218776i | −0.421293 | − | 0.906925i | \(-0.638424\pi\) |
−0.725570 | + | 0.688149i | \(0.758424\pi\) | |||||||
\(48\) | 0.770513 | − | 0.637424i | 0.111214 | − | 0.0920042i | ||||
\(49\) | −2.60813 | + | 8.02699i | −0.372589 | + | 1.14671i | ||||
\(50\) | 0.0461273 | + | 4.99979i | 0.00652339 | + | 0.707077i | ||||
\(51\) | −1.64636 | − | 5.06697i | −0.230536 | − | 0.709517i | ||||
\(52\) | 4.21367 | + | 2.67408i | 0.584331 | + | 0.370828i | ||||
\(53\) | −4.73528 | + | 8.61344i | −0.650440 | + | 1.18315i | 0.321274 | + | 0.946986i | \(0.395889\pi\) |
−0.971714 | + | 0.236160i | \(0.924111\pi\) | |||||||
\(54\) | 0.187381 | − | 0.982287i | 0.0254994 | − | 0.133672i | ||||
\(55\) | 2.87013 | − | 3.08477i | 0.387009 | − | 0.415951i | ||||
\(56\) | −2.86440 | − | 2.68985i | −0.382771 | − | 0.359446i | ||||
\(57\) | − | 2.39329i | − | 0.316999i | ||||||
\(58\) | −2.71019 | + | 2.88606i | −0.355866 | + | 0.378958i | ||||
\(59\) | 5.29732 | + | 8.34724i | 0.689652 | + | 1.08672i | 0.991085 | + | 0.133230i | \(0.0425350\pi\) |
−0.301433 | + | 0.953487i | \(0.597465\pi\) | |||||||
\(60\) | 2.16836 | + | 0.546091i | 0.279934 | + | 0.0705001i | ||||
\(61\) | 3.90842 | − | 1.54745i | 0.500422 | − | 0.198131i | −0.104333 | − | 0.994542i | \(-0.533271\pi\) |
0.604755 | + | 0.796411i | \(0.293271\pi\) | |||||||
\(62\) | 7.91137 | + | 0.497741i | 1.00474 | + | 0.0632132i | ||||
\(63\) | −3.92163 | − | 0.246728i | −0.494079 | − | 0.0310848i | ||||
\(64\) | 0.929776 | − | 0.368125i | 0.116222 | − | 0.0460156i | ||||
\(65\) | 0.752060 | + | 11.1339i | 0.0932816 | + | 1.38099i | ||||
\(66\) | −1.00967 | − | 1.59099i | −0.124282 | − | 0.195838i | ||||
\(67\) | −1.55572 | + | 1.65667i | −0.190061 | + | 0.202395i | −0.816941 | − | 0.576721i | \(-0.804332\pi\) |
0.626880 | + | 0.779116i | \(0.284332\pi\) | |||||||
\(68\) | − | 5.32773i | − | 0.646082i | ||||||
\(69\) | 2.54550 | + | 2.39038i | 0.306442 | + | 0.287768i | ||||
\(70\) | 1.06100 | − | 8.72208i | 0.126814 | − | 1.04249i | ||||
\(71\) | 0.254905 | − | 1.33626i | 0.0302517 | − | 0.158585i | −0.963956 | − | 0.266062i | \(-0.914277\pi\) |
0.994208 | + | 0.107477i | \(0.0342773\pi\) | |||||||
\(72\) | 0.481754 | − | 0.876307i | 0.0567752 | − | 0.103274i | ||||
\(73\) | −9.27611 | − | 5.88680i | −1.08569 | − | 0.688998i | −0.132440 | − | 0.991191i | \(-0.542281\pi\) |
−0.953247 | + | 0.302193i | \(0.902281\pi\) | |||||||
\(74\) | 3.17767 | + | 9.77985i | 0.369396 | + | 1.13688i | ||||
\(75\) | 1.88343 | + | 4.63170i | 0.217480 | + | 0.534823i | ||||
\(76\) | 0.739568 | − | 2.27616i | 0.0848342 | − | 0.261093i | ||||
\(77\) | −5.70508 | + | 4.71965i | −0.650154 | + | 0.537854i | ||||
\(78\) | 4.90217 | + | 0.935138i | 0.555061 | + | 0.105884i | ||||
\(79\) | −7.17514 | − | 15.2480i | −0.807267 | − | 1.71553i | −0.691647 | − | 0.722235i | \(-0.743115\pi\) |
−0.115619 | − | 0.993294i | \(-0.536885\pi\) | |||||||
\(80\) | 1.89348 | + | 1.18942i | 0.211698 | + | 0.132982i | ||||
\(81\) | −0.187381 | − | 0.982287i | −0.0208201 | − | 0.109143i | ||||
\(82\) | −7.19439 | − | 2.33760i | −0.794487 | − | 0.258145i | ||||
\(83\) | −0.980863 | − | 0.461559i | −0.107664 | − | 0.0506627i | 0.371193 | − | 0.928556i | \(-0.378949\pi\) |
−0.478857 | + | 0.877893i | \(0.658949\pi\) | |||||||
\(84\) | −3.65345 | − | 1.44650i | −0.398624 | − | 0.157826i | ||||
\(85\) | 9.60554 | − | 7.04676i | 1.04187 | − | 0.764329i | ||||
\(86\) | −9.61037 | − | 2.46752i | −1.03631 | − | 0.266080i | ||||
\(87\) | −1.45744 | + | 3.68108i | −0.156254 | + | 0.394653i | ||||
\(88\) | −0.468614 | − | 1.82513i | −0.0499544 | − | 0.194559i | ||||
\(89\) | −4.97883 | + | 7.84539i | −0.527755 | + | 0.831609i | −0.998722 | − | 0.0505416i | \(-0.983905\pi\) |
0.470967 | + | 0.882151i | \(0.343905\pi\) | |||||||
\(90\) | 2.21712 | − | 0.290484i | 0.233705 | − | 0.0306197i | ||||
\(91\) | 1.23131 | − | 19.5711i | 0.129077 | − | 2.05161i | ||||
\(92\) | 1.68224 | + | 3.05999i | 0.175386 | + | 0.319026i | ||||
\(93\) | 7.53903 | − | 2.44958i | 0.781761 | − | 0.254010i | ||||
\(94\) | −7.94116 | − | 1.00320i | −0.819068 | − | 0.103472i | ||||
\(95\) | 5.08196 | − | 1.67718i | 0.521398 | − | 0.172075i | ||||
\(96\) | 0.728969 | − | 0.684547i | 0.0744000 | − | 0.0698663i | ||||
\(97\) | −4.18460 | − | 4.45614i | −0.424881 | − | 0.452453i | 0.480536 | − | 0.876975i | \(-0.340442\pi\) |
−0.905418 | + | 0.424522i | \(0.860442\pi\) | |||||||
\(98\) | −2.09896 | + | 8.17491i | −0.212027 | + | 0.825791i | ||||
\(99\) | −1.52445 | − | 1.10758i | −0.153213 | − | 0.111316i | ||||
\(100\) | 0.359976 | + | 4.98702i | 0.0359976 | + | 0.498702i | ||||
\(101\) | 5.30723 | − | 3.85593i | 0.528090 | − | 0.383680i | −0.291553 | − | 0.956555i | \(-0.594172\pi\) |
0.819643 | + | 0.572875i | \(0.194172\pi\) | |||||||
\(102\) | −1.96127 | − | 4.95359i | −0.194194 | − | 0.490479i | ||||
\(103\) | −0.442604 | − | 3.50357i | −0.0436111 | − | 0.345217i | −0.998790 | − | 0.0491869i | \(-0.984337\pi\) |
0.955178 | − | 0.296030i | \(-0.0956630\pi\) | |||||||
\(104\) | 4.37326 | + | 2.40422i | 0.428834 | + | 0.235753i | ||||
\(105\) | −2.22432 | − | 8.50016i | −0.217071 | − | 0.829531i | ||||
\(106\) | −4.18509 | + | 8.89377i | −0.406492 | + | 0.863839i | ||||
\(107\) | −4.45179 | + | 6.12737i | −0.430371 | + | 0.592355i | −0.968038 | − | 0.250802i | \(-0.919306\pi\) |
0.537667 | + | 0.843157i | \(0.319306\pi\) | |||||||
\(108\) | 0.125333 | − | 0.992115i | 0.0120602 | − | 0.0954663i | ||||
\(109\) | −0.514515 | + | 0.132105i | −0.0492816 | + | 0.0126534i | −0.273250 | − | 0.961943i | \(-0.588099\pi\) |
0.223969 | + | 0.974596i | \(0.428099\pi\) | |||||||
\(110\) | 2.67077 | − | 3.25890i | 0.254648 | − | 0.310724i | ||||
\(111\) | 6.55472 | + | 7.92330i | 0.622147 | + | 0.752046i | ||||
\(112\) | −3.02764 | − | 2.50468i | −0.286085 | − | 0.236670i | ||||
\(113\) | 9.76922 | − | 6.19973i | 0.919011 | − | 0.583222i | 0.00997947 | − | 0.999950i | \(-0.496823\pi\) |
0.909031 | + | 0.416728i | \(0.136823\pi\) | |||||||
\(114\) | −0.150276 | − | 2.38857i | −0.0140746 | − | 0.223710i | ||||
\(115\) | −3.29193 | + | 7.08030i | −0.306974 | + | 0.660241i | ||||
\(116\) | −2.52363 | + | 3.05054i | −0.234313 | + | 0.283236i | ||||
\(117\) | 4.90217 | − | 0.935138i | 0.453205 | − | 0.0864535i | ||||
\(118\) | 5.81099 | + | 7.99814i | 0.534945 | + | 0.736289i | ||||
\(119\) | −18.3452 | + | 10.0854i | −1.68170 | + | 0.924524i | ||||
\(120\) | 2.19837 | + | 0.408861i | 0.200683 | + | 0.0373237i | ||||
\(121\) | 7.39056 | − | 0.933645i | 0.671869 | − | 0.0848768i | ||||
\(122\) | 3.80354 | − | 1.78981i | 0.344357 | − | 0.162042i | ||||
\(123\) | −7.54970 | + | 0.474987i | −0.680734 | + | 0.0428281i | ||||
\(124\) | 7.92701 | 0.711867 | ||||||||
\(125\) | −8.51516 | + | 7.24514i | −0.761619 | + | 0.648025i | ||||
\(126\) | −3.92939 | −0.350058 | ||||||||
\(127\) | 13.6574 | − | 0.859249i | 1.21190 | − | 0.0762460i | 0.556055 | − | 0.831146i | \(-0.312314\pi\) |
0.655840 | + | 0.754900i | \(0.272314\pi\) | |||||||
\(128\) | 0.904827 | − | 0.425779i | 0.0799762 | − | 0.0376339i | ||||
\(129\) | −9.84385 | + | 1.24357i | −0.866703 | + | 0.109490i | ||||
\(130\) | 1.44968 | + | 11.0647i | 0.127145 | + | 0.970436i | ||||
\(131\) | −14.5214 | + | 7.98321i | −1.26874 | + | 0.697497i | −0.966728 | − | 0.255807i | \(-0.917659\pi\) |
−0.302014 | + | 0.953304i | \(0.597659\pi\) | |||||||
\(132\) | −1.10758 | − | 1.52445i | −0.0964025 | − | 0.132687i | ||||
\(133\) | −9.23759 | + | 1.76216i | −0.801001 | + | 0.152799i | ||||
\(134\) | −1.44863 | + | 1.75109i | −0.125142 | + | 0.151271i | ||||
\(135\) | 1.95449 | − | 1.08626i | 0.168216 | − | 0.0934905i | ||||
\(136\) | −0.334531 | − | 5.31721i | −0.0286858 | − | 0.455947i | ||||
\(137\) | 2.75514 | − | 1.74847i | 0.235388 | − | 0.149382i | −0.412902 | − | 0.910776i | \(-0.635485\pi\) |
0.648289 | + | 0.761394i | \(0.275485\pi\) | |||||||
\(138\) | 2.69057 | + | 2.22583i | 0.229036 | + | 0.189475i | ||||
\(139\) | 13.0880 | + | 15.8207i | 1.11011 | + | 1.34189i | 0.933897 | + | 0.357543i | \(0.116386\pi\) |
0.176216 | + | 0.984352i | \(0.443614\pi\) | |||||||
\(140\) | 0.511245 | − | 8.77149i | 0.0432081 | − | 0.741326i | ||||
\(141\) | −7.75280 | + | 1.99058i | −0.652904 | + | 0.167637i | ||||
\(142\) | 0.170498 | − | 1.34963i | 0.0143079 | − | 0.113258i | ||||
\(143\) | 5.52745 | − | 7.60788i | 0.462229 | − | 0.636203i | ||||
\(144\) | 0.425779 | − | 0.904827i | 0.0354816 | − | 0.0754023i | ||||
\(145\) | −8.83782 | − | 0.515112i | −0.733941 | − | 0.0427777i | ||||
\(146\) | −9.62744 | − | 5.29273i | −0.796773 | − | 0.438030i | ||||
\(147\) | 1.05782 | + | 8.37352i | 0.0872477 | + | 0.690636i | ||||
\(148\) | 3.78548 | + | 9.56102i | 0.311164 | + | 0.785911i | ||||
\(149\) | 2.83153 | − | 2.05723i | 0.231968 | − | 0.168535i | −0.465729 | − | 0.884927i | \(-0.654208\pi\) |
0.697698 | + | 0.716392i | \(0.254208\pi\) | |||||||
\(150\) | 2.17054 | + | 4.50430i | 0.177224 | + | 0.367775i | ||||
\(151\) | −4.93170 | − | 3.58309i | −0.401336 | − | 0.291588i | 0.368749 | − | 0.929529i | \(-0.379786\pi\) |
−0.770085 | + | 0.637941i | \(0.779786\pi\) | |||||||
\(152\) | 0.595187 | − | 2.31810i | 0.0482761 | − | 0.188023i | ||||
\(153\) | −3.64708 | − | 3.88374i | −0.294849 | − | 0.313982i | ||||
\(154\) | −5.39747 | + | 5.06856i | −0.434941 | + | 0.408436i | ||||
\(155\) | 10.4847 | + | 14.2919i | 0.842153 | + | 1.14795i | ||||
\(156\) | 4.95121 | + | 0.625483i | 0.396414 | + | 0.0500787i | ||||
\(157\) | −14.7319 | + | 4.78668i | −1.17573 | + | 0.382019i | −0.830780 | − | 0.556601i | \(-0.812105\pi\) |
−0.344953 | + | 0.938620i | \(0.612105\pi\) | |||||||
\(158\) | −8.11841 | − | 14.7673i | −0.645866 | − | 1.17483i | ||||
\(159\) | −0.617184 | + | 9.80985i | −0.0489458 | + | 0.777972i | ||||
\(160\) | 1.96443 | + | 1.06818i | 0.155302 | + | 0.0844473i | ||||
\(161\) | 7.35213 | − | 11.5851i | 0.579429 | − | 0.913034i | ||||
\(162\) | −0.248690 | − | 0.968583i | −0.0195389 | − | 0.0760991i | ||||
\(163\) | −4.11272 | + | 10.3875i | −0.322133 | + | 0.813615i | 0.674991 | + | 0.737826i | \(0.264147\pi\) |
−0.997124 | + | 0.0757887i | \(0.975853\pi\) | |||||||
\(164\) | −7.32697 | − | 1.88125i | −0.572140 | − | 0.146901i | ||||
\(165\) | 1.28354 | − | 4.01323i | 0.0999235 | − | 0.312429i | ||||
\(166\) | −1.00791 | − | 0.399059i | −0.0782289 | − | 0.0309730i | ||||
\(167\) | 2.47056 | + | 1.16256i | 0.191178 | + | 0.0899614i | 0.518986 | − | 0.854783i | \(-0.326310\pi\) |
−0.327808 | + | 0.944744i | \(0.606310\pi\) | |||||||
\(168\) | −3.73707 | − | 1.21425i | −0.288321 | − | 0.0936812i | ||||
\(169\) | 2.23091 | + | 11.6948i | 0.171608 | + | 0.899602i | ||||
\(170\) | 9.14412 | − | 7.63599i | 0.701322 | − | 0.585654i | ||||
\(171\) | −1.01901 | − | 2.16551i | −0.0779259 | − | 0.165601i | ||||
\(172\) | −9.74634 | − | 1.85921i | −0.743152 | − | 0.141764i | ||||
\(173\) | −15.6839 | + | 12.9748i | −1.19242 | + | 0.986457i | −0.192435 | + | 0.981310i | \(0.561638\pi\) |
−0.999987 | + | 0.00514715i | \(0.998362\pi\) | |||||||
\(174\) | −1.22343 | + | 3.76533i | −0.0927480 | + | 0.285449i | ||||
\(175\) | 16.4906 | − | 10.6799i | 1.24657 | − | 0.807328i | ||||
\(176\) | −0.582290 | − | 1.79210i | −0.0438917 | − | 0.135085i | ||||
\(177\) | 8.34724 | + | 5.29732i | 0.627417 | + | 0.398171i | ||||
\(178\) | −4.47639 | + | 8.14253i | −0.335520 | + | 0.610308i | ||||
\(179\) | −4.13585 | + | 21.6809i | −0.309128 | + | 1.62050i | 0.400756 | + | 0.916185i | \(0.368748\pi\) |
−0.709884 | + | 0.704319i | \(0.751252\pi\) | |||||||
\(180\) | 2.19450 | − | 0.429125i | 0.163569 | − | 0.0319851i | ||||
\(181\) | 5.11435 | + | 4.80269i | 0.380146 | + | 0.356981i | 0.850941 | − | 0.525262i | \(-0.176033\pi\) |
−0.470794 | + | 0.882243i | \(0.656033\pi\) | |||||||
\(182\) | − | 19.6098i | − | 1.45358i | ||||||
\(183\) | 2.87757 | − | 3.06430i | 0.212716 | − | 0.226520i | ||||
\(184\) | 1.87106 | + | 2.94832i | 0.137937 | + | 0.217353i | ||||
\(185\) | −12.2310 | + | 19.4709i | −0.899242 | + | 1.43153i | ||||
\(186\) | 7.37035 | − | 2.91813i | 0.540420 | − | 0.213967i | ||||
\(187\) | −10.0194 | − | 0.630366i | −0.732690 | − | 0.0460969i | ||||
\(188\) | −7.98848 | − | 0.502592i | −0.582620 | − | 0.0366553i | ||||
\(189\) | −3.65345 | + | 1.44650i | −0.265749 | + | 0.105218i | ||||
\(190\) | 4.96662 | − | 1.99297i | 0.360316 | − | 0.144585i | ||||
\(191\) | −8.52308 | − | 13.4302i | −0.616709 | − | 0.971778i | −0.998863 | − | 0.0476788i | \(-0.984818\pi\) |
0.382154 | − | 0.924099i | \(-0.375182\pi\) | |||||||
\(192\) | 0.684547 | − | 0.728969i | 0.0494029 | − | 0.0526088i | ||||
\(193\) | − | 9.42537i | − | 0.678453i | −0.940705 | − | 0.339227i | \(-0.889835\pi\) | ||
0.940705 | − | 0.339227i | \(-0.110165\pi\) | |||||||
\(194\) | −4.45614 | − | 4.18460i | −0.319932 | − | 0.300436i | ||||
\(195\) | 5.42105 | + | 9.75401i | 0.388210 | + | 0.698499i | ||||
\(196\) | −1.58151 | + | 8.29058i | −0.112965 | + | 0.592184i | ||||
\(197\) | −1.45308 | + | 2.64315i | −0.103528 | + | 0.188316i | −0.922997 | − | 0.384806i | \(-0.874268\pi\) |
0.819470 | + | 0.573123i | \(0.194268\pi\) | |||||||
\(198\) | −1.59099 | − | 1.00967i | −0.113067 | − | 0.0717544i | ||||
\(199\) | −3.57505 | − | 11.0029i | −0.253429 | − | 0.779974i | −0.994135 | − | 0.108145i | \(-0.965509\pi\) |
0.740706 | − | 0.671829i | \(-0.234491\pi\) | |||||||
\(200\) | 0.672403 | + | 4.95458i | 0.0475461 | + | 0.350342i | ||||
\(201\) | −0.702280 | + | 2.16139i | −0.0495350 | + | 0.152453i | ||||
\(202\) | 5.05465 | − | 4.18157i | 0.355644 | − | 0.294214i | ||||
\(203\) | 15.2813 | + | 2.91506i | 1.07254 | + | 0.204597i | ||||
\(204\) | −2.26844 | − | 4.82067i | −0.158822 | − | 0.337514i | ||||
\(205\) | −6.29931 | − | 15.6983i | −0.439963 | − | 1.09642i | ||||
\(206\) | −0.661722 | − | 3.46887i | −0.0461044 | − | 0.241688i | ||||
\(207\) | 3.32101 | + | 1.07906i | 0.230826 | + | 0.0750000i | ||||
\(208\) | 4.51560 | + | 2.12488i | 0.313100 | + | 0.147334i | ||||
\(209\) | −4.19306 | − | 1.66015i | −0.290040 | − | 0.114835i | ||||
\(210\) | −2.75366 | − | 8.34372i | −0.190020 | − | 0.575772i | ||||
\(211\) | 25.3197 | + | 6.50099i | 1.74308 | + | 0.447547i | 0.980039 | − | 0.198803i | \(-0.0637055\pi\) |
0.763041 | + | 0.646350i | \(0.223706\pi\) | |||||||
\(212\) | −3.61839 | + | 9.13900i | −0.248512 | + | 0.627669i | ||||
\(213\) | −0.338307 | − | 1.31762i | −0.0231804 | − | 0.0902817i | ||||
\(214\) | −4.05827 | + | 6.39481i | −0.277417 | + | 0.437140i | ||||
\(215\) | −9.53904 | − | 20.0311i | −0.650557 | − | 1.36611i | ||||
\(216\) | 0.0627905 | − | 0.998027i | 0.00427235 | − | 0.0679071i | ||||
\(217\) | −15.0058 | − | 27.2954i | −1.01866 | − | 1.85294i | ||||
\(218\) | −0.505205 | + | 0.164151i | −0.0342168 | + | 0.0111177i | ||||
\(219\) | −10.8998 | − | 1.37696i | −0.736537 | − | 0.0930463i | ||||
\(220\) | 2.46088 | − | 3.42017i | 0.165912 | − | 0.230588i | ||||
\(221\) | 19.3821 | − | 18.2010i | 1.30378 | − | 1.22433i | ||||
\(222\) | 7.03929 | + | 7.49609i | 0.472447 | + | 0.503104i | ||||
\(223\) | 0.828628 | − | 3.22729i | 0.0554891 | − | 0.216116i | −0.934792 | − | 0.355195i | \(-0.884414\pi\) |
0.990281 | + | 0.139080i | \(0.0444144\pi\) | |||||||
\(224\) | −3.17894 | − | 2.30964i | −0.212402 | − | 0.154319i | ||||
\(225\) | 3.67626 | + | 3.38896i | 0.245084 | + | 0.225931i | ||||
\(226\) | 9.36065 | − | 6.80091i | 0.622661 | − | 0.452390i | ||||
\(227\) | −1.40851 | − | 3.55749i | −0.0934862 | − | 0.236119i | 0.875508 | − | 0.483204i | \(-0.160527\pi\) |
−0.968994 | + | 0.247085i | \(0.920527\pi\) | |||||||
\(228\) | −0.299959 | − | 2.37442i | −0.0198653 | − | 0.157250i | ||||
\(229\) | 25.7054 | + | 14.1317i | 1.69866 | + | 0.933847i | 0.967944 | + | 0.251167i | \(0.0808144\pi\) |
0.730718 | + | 0.682680i | \(0.239186\pi\) | |||||||
\(230\) | −2.84086 | + | 7.27303i | −0.187321 | + | 0.479569i | ||||
\(231\) | −3.15258 | + | 6.69957i | −0.207424 | + | 0.440799i | ||||
\(232\) | −2.32710 | + | 3.20298i | −0.152782 | + | 0.210286i | ||||
\(233\) | −2.68565 | + | 21.2591i | −0.175943 | + | 1.39273i | 0.618687 | + | 0.785638i | \(0.287665\pi\) |
−0.794630 | + | 0.607094i | \(0.792335\pi\) | |||||||
\(234\) | 4.83377 | − | 1.24110i | 0.315994 | − | 0.0811334i | ||||
\(235\) | −9.65988 | − | 15.0675i | −0.630141 | − | 0.982893i | ||||
\(236\) | 6.30173 | + | 7.61749i | 0.410208 | + | 0.495856i | ||||
\(237\) | −12.9845 | − | 10.7417i | −0.843436 | − | 0.697751i | ||||
\(238\) | −17.6757 | + | 11.2174i | −1.14575 | + | 0.727114i | ||||
\(239\) | −0.267702 | − | 4.25500i | −0.0173162 | − | 0.275233i | −0.997151 | − | 0.0754257i | \(-0.975968\pi\) |
0.979835 | − | 0.199807i | \(-0.0640316\pi\) | |||||||
\(240\) | 2.21971 | + | 0.270017i | 0.143281 | + | 0.0174296i | ||||
\(241\) | 4.36025 | − | 5.27063i | 0.280868 | − | 0.339511i | −0.611147 | − | 0.791517i | \(-0.709291\pi\) |
0.892015 | + | 0.452006i | \(0.149291\pi\) | |||||||
\(242\) | 7.31736 | − | 1.39586i | 0.470377 | − | 0.0897293i | ||||
\(243\) | −0.587785 | − | 0.809017i | −0.0377064 | − | 0.0518985i | ||||
\(244\) | 3.68365 | − | 2.02511i | 0.235822 | − | 0.129644i | ||||
\(245\) | −17.0392 | + | 8.11424i | −1.08859 | + | 0.518400i | ||||
\(246\) | −7.50498 | + | 0.948099i | −0.478500 | + | 0.0604486i | ||||
\(247\) | 10.8071 | − | 5.08545i | 0.687642 | − | 0.323580i | ||||
\(248\) | 7.91137 | − | 0.497741i | 0.502372 | − | 0.0316066i | ||||
\(249\) | −1.08403 | −0.0686978 | ||||||||
\(250\) | −8.04343 | + | 7.76552i | −0.508711 | + | 0.491134i | ||||
\(251\) | −0.184467 | −0.0116435 | −0.00582173 | − | 0.999983i | \(-0.501853\pi\) | ||||
−0.00582173 | + | 0.999983i | \(0.501853\pi\) | |||||||
\(252\) | −3.92163 | + | 0.246728i | −0.247040 | + | 0.0155424i | ||||
\(253\) | 5.95369 | − | 2.80159i | 0.374305 | − | 0.176135i | ||||
\(254\) | 13.5765 | − | 1.71511i | 0.851863 | − | 0.107615i | ||||
\(255\) | 5.69099 | − | 10.4659i | 0.356384 | − | 0.655403i | ||||
\(256\) | 0.876307 | − | 0.481754i | 0.0547692 | − | 0.0301096i | ||||
\(257\) | −8.54356 | − | 11.7592i | −0.532933 | − | 0.733519i | 0.454641 | − | 0.890675i | \(-0.349768\pi\) |
−0.987574 | + | 0.157156i | \(0.949768\pi\) | |||||||
\(258\) | −9.74634 | + | 1.85921i | −0.606781 | + | 0.115750i | ||||
\(259\) | 25.7560 | − | 31.1337i | 1.60040 | − | 1.93455i | ||||
\(260\) | 2.14157 | + | 10.9518i | 0.132815 | + | 0.679203i | ||||
\(261\) | 0.248594 | + | 3.95129i | 0.0153876 | + | 0.244579i | ||||
\(262\) | −13.9915 | + | 8.87927i | −0.864397 | + | 0.548563i | ||||
\(263\) | −17.2894 | − | 14.3030i | −1.06611 | − | 0.881962i | −0.0727885 | − | 0.997347i | \(-0.523190\pi\) |
−0.993321 | + | 0.115385i | \(0.963190\pi\) | |||||||
\(264\) | −1.20112 | − | 1.45190i | −0.0739236 | − | 0.0893583i | ||||
\(265\) | −21.2629 | + | 5.56406i | −1.30617 | + | 0.341798i | ||||
\(266\) | −9.10872 | + | 2.33872i | −0.558491 | + | 0.143396i | ||||
\(267\) | −1.16458 | + | 9.21860i | −0.0712712 | + | 0.564169i | ||||
\(268\) | −1.33582 | + | 1.83859i | −0.0815979 | + | 0.112310i | ||||
\(269\) | 3.29257 | − | 6.99706i | 0.200751 | − | 0.426619i | −0.778949 | − | 0.627088i | \(-0.784247\pi\) |
0.979700 | + | 0.200469i | \(0.0642467\pi\) | |||||||
\(270\) | 1.88243 | − | 1.20684i | 0.114561 | − | 0.0734460i | ||||
\(271\) | 4.90342 | + | 2.69568i | 0.297862 | + | 0.163751i | 0.623676 | − | 0.781683i | \(-0.285638\pi\) |
−0.325814 | + | 0.945434i | \(0.605638\pi\) | |||||||
\(272\) | −0.667741 | − | 5.28571i | −0.0404878 | − | 0.320494i | ||||
\(273\) | −7.21886 | − | 18.2328i | −0.436906 | − | 1.10350i | ||||
\(274\) | 2.63992 | − | 1.91801i | 0.159483 | − | 0.115871i | ||||
\(275\) | 9.42124 | − | 0.0869191i | 0.568122 | − | 0.00524142i | ||||
\(276\) | 2.82502 | + | 2.05250i | 0.170046 | + | 0.123546i | ||||
\(277\) | 3.24819 | − | 12.6509i | 0.195165 | − | 0.760117i | −0.793321 | − | 0.608804i | \(-0.791650\pi\) |
0.988486 | − | 0.151313i | \(-0.0483502\pi\) | |||||||
\(278\) | 14.0556 | + | 14.9677i | 0.842998 | + | 0.897702i | ||||
\(279\) | 5.77854 | − | 5.42641i | 0.345952 | − | 0.324871i | ||||
\(280\) | −0.0405296 | − | 8.78628i | −0.00242211 | − | 0.525081i | ||||
\(281\) | 15.4378 | + | 1.95025i | 0.920941 | + | 0.116342i | 0.571487 | − | 0.820611i | \(-0.306367\pi\) |
0.349455 | + | 0.936953i | \(0.386367\pi\) | |||||||
\(282\) | −7.61251 | + | 2.47346i | −0.453319 | + | 0.147292i | ||||
\(283\) | −1.62103 | − | 2.94865i | −0.0963605 | − | 0.175279i | 0.823733 | − | 0.566978i | \(-0.191888\pi\) |
−0.920093 | + | 0.391699i | \(0.871888\pi\) | |||||||
\(284\) | 0.0854175 | − | 1.35767i | 0.00506860 | − | 0.0805630i | ||||
\(285\) | 3.88418 | − | 3.68135i | 0.230079 | − | 0.218065i | ||||
\(286\) | 5.03884 | − | 7.93994i | 0.297953 | − | 0.469499i | ||||
\(287\) | 7.39214 | + | 28.7905i | 0.436344 | + | 1.69945i | ||||
\(288\) | 0.368125 | − | 0.929776i | 0.0216919 | − | 0.0547876i | ||||
\(289\) | −11.0270 | − | 2.83125i | −0.648647 | − | 0.166544i | ||||
\(290\) | −8.85273 | + | 0.0408361i | −0.519850 | + | 0.00239798i | ||||
\(291\) | −5.68367 | − | 2.25032i | −0.333183 | − | 0.131916i | ||||
\(292\) | −9.94078 | − | 4.67778i | −0.581740 | − | 0.273746i | ||||
\(293\) | −2.29919 | − | 0.747051i | −0.134320 | − | 0.0436432i | 0.241086 | − | 0.970504i | \(-0.422497\pi\) |
−0.375405 | + | 0.926861i | \(0.622497\pi\) | |||||||
\(294\) | 1.58151 | + | 8.29058i | 0.0922357 | + | 0.483516i | ||||
\(295\) | −5.39879 | + | 21.4369i | −0.314330 | + | 1.24811i | ||||
\(296\) | 4.37835 | + | 9.30446i | 0.254486 | + | 0.540811i | ||||
\(297\) | −1.85095 | − | 0.353088i | −0.107403 | − | 0.0204882i | ||||
\(298\) | 2.69677 | − | 2.23096i | 0.156220 | − | 0.129236i | ||||
\(299\) | −5.38512 | + | 16.5737i | −0.311430 | + | 0.958482i | ||||
\(300\) | 2.44909 | + | 4.35912i | 0.141398 | + | 0.251674i | ||||
\(301\) | 12.0479 | + | 37.0795i | 0.694427 | + | 2.13723i | ||||
\(302\) | −5.14696 | − | 3.26636i | −0.296174 | − | 0.187958i | ||||
\(303\) | 3.16035 | − | 5.74866i | 0.181558 | − | 0.330252i | ||||
\(304\) | 0.448458 | − | 2.35090i | 0.0257208 | − | 0.134833i | ||||
\(305\) | 8.52335 | + | 3.96287i | 0.488046 | + | 0.226913i | ||||
\(306\) | −3.88374 | − | 3.64708i | −0.222019 | − | 0.208490i | ||||
\(307\) | 15.3046i | 0.873480i | 0.899588 | + | 0.436740i | \(0.143867\pi\) | ||||
−0.899588 | + | 0.436740i | \(0.856133\pi\) | |||||||
\(308\) | −5.06856 | + | 5.39747i | −0.288808 | + | 0.307549i | ||||
\(309\) | −1.89223 | − | 2.98168i | −0.107645 | − | 0.169622i | ||||
\(310\) | 11.3614 | + | 13.6053i | 0.645286 | + | 0.772731i | ||||
\(311\) | 28.5818 | − | 11.3163i | 1.62072 | − | 0.641690i | 0.629878 | − | 0.776694i | \(-0.283105\pi\) |
0.990845 | + | 0.135004i | \(0.0431047\pi\) | |||||||
\(312\) | 4.98071 | + | 0.313360i | 0.281977 | + | 0.0177405i | ||||
\(313\) | 18.8640 | + | 1.18682i | 1.06626 | + | 0.0670831i | 0.586209 | − | 0.810160i | \(-0.300620\pi\) |
0.480047 | + | 0.877243i | \(0.340620\pi\) | |||||||
\(314\) | −14.4023 | + | 5.70226i | −0.812767 | + | 0.321797i | ||||
\(315\) | −5.63181 | − | 6.74411i | −0.317317 | − | 0.379988i | ||||
\(316\) | −9.02964 | − | 14.2284i | −0.507957 | − | 0.800412i | ||||
\(317\) | 7.62468 | − | 8.11946i | 0.428245 | − | 0.456034i | −0.478267 | − | 0.878214i | \(-0.658735\pi\) |
0.906512 | + | 0.422180i | \(0.138735\pi\) | |||||||
\(318\) | 9.82925i | 0.551197i | ||||||||
\(319\) | 5.43829 | + | 5.10689i | 0.304486 | + | 0.285931i | ||||
\(320\) | 2.02762 | + | 0.942728i | 0.113348 | + | 0.0527001i | ||||
\(321\) | −1.41920 | + | 7.43969i | −0.0792118 | + | 0.415243i | ||||
\(322\) | 6.61019 | − | 12.0239i | 0.368371 | − | 0.670065i | ||||
\(323\) | −10.7659 | − | 6.83222i | −0.599028 | − | 0.380155i | ||||
\(324\) | −0.309017 | − | 0.951057i | −0.0171676 | − | 0.0528365i | ||||
\(325\) | −16.9128 | + | 18.3466i | −0.938155 | + | 1.01769i | ||||
\(326\) | −3.45236 | + | 10.6253i | −0.191209 | + | 0.588480i | ||||
\(327\) | −0.409300 | + | 0.338602i | −0.0226343 | + | 0.0187247i | ||||
\(328\) | −7.43064 | − | 1.41747i | −0.410288 | − | 0.0782667i | ||||
\(329\) | 13.3916 | + | 28.4585i | 0.738300 | + | 1.56897i | ||||
\(330\) | 1.02902 | − | 4.08590i | 0.0566454 | − | 0.224922i | ||||
\(331\) | −5.18678 | − | 27.1901i | −0.285091 | − | 1.49450i | −0.780123 | − | 0.625626i | \(-0.784844\pi\) |
0.495032 | − | 0.868875i | \(-0.335156\pi\) | |||||||
\(332\) | −1.03098 | − | 0.334985i | −0.0565822 | − | 0.0183847i | ||||
\(333\) | 9.30446 | + | 4.37835i | 0.509882 | + | 0.239932i | ||||
\(334\) | 2.53868 | + | 1.00514i | 0.138911 | + | 0.0549986i | ||||
\(335\) | −5.08169 | + | 0.0234410i | −0.277642 | + | 0.00128072i | ||||
\(336\) | −3.80594 | − | 0.977199i | −0.207631 | − | 0.0533106i | ||||
\(337\) | 9.55438 | − | 24.1316i | 0.520460 | − | 1.31453i | −0.397406 | − | 0.917643i | \(-0.630090\pi\) |
0.917866 | − | 0.396889i | \(-0.129910\pi\) | |||||||
\(338\) | 2.96083 | + | 11.5317i | 0.161048 | + | 0.627240i | ||||
\(339\) | 6.19973 | − | 9.76922i | 0.336723 | − | 0.530591i | ||||
\(340\) | 8.64661 | − | 8.19509i | 0.468928 | − | 0.444441i | ||||
\(341\) | 0.937908 | − | 14.9076i | 0.0507906 | − | 0.807293i | ||||
\(342\) | −1.15298 | − | 2.09726i | −0.0623459 | − | 0.113407i | ||||
\(343\) | 5.38165 | − | 1.74860i | 0.290582 | − | 0.0944158i | ||||
\(344\) | −9.84385 | − | 1.24357i | −0.530745 | − | 0.0670487i | ||||
\(345\) | 0.0360174 | + | 7.80808i | 0.00193911 | + | 0.420373i | ||||
\(346\) | −14.8382 | + | 13.9340i | −0.797707 | + | 0.749097i | ||||
\(347\) | −17.4974 | − | 18.6328i | −0.939308 | − | 1.00026i | −0.999998 | − | 0.00210508i | \(-0.999330\pi\) |
0.0606895 | − | 0.998157i | \(-0.480670\pi\) | |||||||
\(348\) | −0.984589 | + | 3.83472i | −0.0527795 | + | 0.205563i | ||||
\(349\) | 15.4476 | + | 11.2233i | 0.826891 | + | 0.600772i | 0.918678 | − | 0.395007i | \(-0.129258\pi\) |
−0.0917869 | + | 0.995779i | \(0.529258\pi\) | |||||||
\(350\) | 15.7875 | − | 11.6943i | 0.843877 | − | 0.625088i | ||||
\(351\) | 4.03745 | − | 2.93338i | 0.215503 | − | 0.156572i | ||||
\(352\) | −0.693668 | − | 1.75200i | −0.0369726 | − | 0.0933822i | ||||
\(353\) | 1.47772 | + | 11.6973i | 0.0786509 | + | 0.622586i | 0.981338 | + | 0.192289i | \(0.0615911\pi\) |
−0.902688 | + | 0.430297i | \(0.858409\pi\) | |||||||
\(354\) | 8.66339 | + | 4.76274i | 0.460454 | + | 0.253137i | ||||
\(355\) | 2.56077 | − | 1.64173i | 0.135912 | − | 0.0871342i | ||||
\(356\) | −3.95629 | + | 8.40754i | −0.209683 | + | 0.445599i | ||||
\(357\) | −12.3051 | + | 16.9365i | −0.651255 | + | 0.896376i | ||||
\(358\) | −2.76633 | + | 21.8978i | −0.146205 | + | 1.15733i | ||||
\(359\) | 1.06459 | − | 0.273341i | 0.0561871 | − | 0.0144264i | −0.220492 | − | 0.975389i | \(-0.570766\pi\) |
0.276679 | + | 0.960962i | \(0.410766\pi\) | |||||||
\(360\) | 2.16323 | − | 0.566072i | 0.114012 | − | 0.0298346i | ||||
\(361\) | 8.45999 | + | 10.2264i | 0.445263 | + | 0.538230i | ||||
\(362\) | 5.40582 | + | 4.47208i | 0.284123 | + | 0.235047i | ||||
\(363\) | 6.28966 | − | 3.99154i | 0.330121 | − | 0.209501i | ||||
\(364\) | −1.23131 | − | 19.5711i | −0.0645383 | − | 1.02581i | ||||
\(365\) | −4.71453 | − | 24.1097i | −0.246770 | − | 1.26196i | ||||
\(366\) | 2.67948 | − | 3.23894i | 0.140059 | − | 0.169302i | ||||
\(367\) | 8.32009 | − | 1.58714i | 0.434305 | − | 0.0828482i | 0.0344075 | − | 0.999408i | \(-0.489046\pi\) |
0.399898 | + | 0.916560i | \(0.369046\pi\) | |||||||
\(368\) | 2.05250 | + | 2.82502i | 0.106994 | + | 0.147264i | ||||
\(369\) | −6.62893 | + | 3.64429i | −0.345089 | + | 0.189714i | ||||
\(370\) | −10.9843 | + | 20.2005i | −0.571046 | + | 1.05017i | ||||
\(371\) | 38.3184 | − | 4.84073i | 1.98939 | − | 0.251318i | ||||
\(372\) | 7.17257 | − | 3.37516i | 0.371881 | − | 0.174994i | ||||
\(373\) | −28.7295 | + | 1.80751i | −1.48756 | + | 0.0935892i | −0.785647 | − | 0.618675i | \(-0.787670\pi\) |
−0.701911 | + | 0.712264i | \(0.747670\pi\) | |||||||
\(374\) | −10.0392 | −0.519114 | ||||||||
\(375\) | −4.61991 | + | 10.1812i | −0.238571 | + | 0.525754i | ||||
\(376\) | −8.00427 | −0.412789 | ||||||||
\(377\) | −19.7192 | + | 1.24062i | −1.01559 | + | 0.0638954i | ||||
\(378\) | −3.55541 | + | 1.67305i | −0.182871 | + | 0.0860525i | ||||
\(379\) | 13.8695 | − | 1.75213i | 0.712430 | − | 0.0900009i | 0.239239 | − | 0.970961i | \(-0.423102\pi\) |
0.473191 | + | 0.880960i | \(0.343102\pi\) | |||||||
\(380\) | 4.83168 | − | 2.30090i | 0.247860 | − | 0.118033i | ||||
\(381\) | 11.9917 | − | 6.59249i | 0.614354 | − | 0.337744i | ||||
\(382\) | −9.34956 | − | 12.8686i | −0.478365 | − | 0.658413i | ||||
\(383\) | 3.89809 | − | 0.743601i | 0.199183 | − | 0.0379962i | −0.0868241 | − | 0.996224i | \(-0.527672\pi\) |
0.286007 | + | 0.958227i | \(0.407672\pi\) | |||||||
\(384\) | 0.637424 | − | 0.770513i | 0.0325284 | − | 0.0393201i | ||||
\(385\) | −16.4353 | − | 1.99928i | −0.837619 | − | 0.101893i | ||||
\(386\) | −0.591824 | − | 9.40678i | −0.0301231 | − | 0.478792i | ||||
\(387\) | −8.37750 | + | 5.31652i | −0.425852 | + | 0.270254i | ||||
\(388\) | −4.71010 | − | 3.89653i | −0.239119 | − | 0.197817i | ||||
\(389\) | 18.3957 | + | 22.2365i | 0.932697 | + | 1.12744i | 0.991622 | + | 0.129175i | \(0.0412328\pi\) |
−0.0589247 | + | 0.998262i | \(0.518767\pi\) | |||||||
\(390\) | 6.02282 | + | 9.39437i | 0.304977 | + | 0.475703i | ||||
\(391\) | 18.0195 | − | 4.62662i | 0.911285 | − | 0.233978i | ||||
\(392\) | −1.05782 | + | 8.37352i | −0.0534281 | + | 0.422927i | ||||
\(393\) | −9.74028 | + | 13.4063i | −0.491332 | + | 0.676261i | ||||
\(394\) | −1.28425 | + | 2.72917i | −0.0646996 | + | 0.137494i | ||||
\(395\) | 13.7098 | − | 35.0992i | 0.689816 | − | 1.76603i | ||||
\(396\) | −1.65125 | − | 0.907782i | −0.0829784 | − | 0.0456178i | ||||
\(397\) | −2.79159 | − | 22.0977i | −0.140106 | − | 1.10905i | −0.892726 | − | 0.450599i | \(-0.851210\pi\) |
0.752620 | − | 0.658455i | \(-0.228790\pi\) | |||||||
\(398\) | −4.25887 | − | 10.7567i | −0.213478 | − | 0.539184i | ||||
\(399\) | −7.60813 | + | 5.52763i | −0.380883 | + | 0.276728i | ||||
\(400\) | 0.982177 | + | 4.90258i | 0.0491088 | + | 0.245129i | ||||
\(401\) | −29.2510 | − | 21.2521i | −1.46073 | − | 1.06128i | −0.983173 | − | 0.182676i | \(-0.941524\pi\) |
−0.477552 | − | 0.878603i | \(-0.658476\pi\) | |||||||
\(402\) | −0.565179 | + | 2.20123i | −0.0281886 | + | 0.109787i | ||||
\(403\) | 27.0808 | + | 28.8382i | 1.34899 | + | 1.43653i | ||||
\(404\) | 4.78211 | − | 4.49070i | 0.237919 | − | 0.223421i | ||||
\(405\) | 1.30597 | − | 1.81506i | 0.0648941 | − | 0.0901911i | ||||
\(406\) | 15.4342 | + | 1.94979i | 0.765985 | + | 0.0967664i | ||||
\(407\) | 18.4285 | − | 5.98777i | 0.913464 | − | 0.296803i | ||||
\(408\) | −2.56665 | − | 4.66872i | −0.127068 | − | 0.231136i | ||||
\(409\) | 0.164150 | − | 2.60908i | 0.00811667 | − | 0.129011i | −0.991882 | − | 0.127165i | \(-0.959412\pi\) |
0.999998 | − | 0.00184619i | \(-0.000587660\pi\) | |||||||
\(410\) | −7.27259 | − | 15.2718i | −0.359168 | − | 0.754220i | ||||
\(411\) | 1.74847 | − | 2.75514i | 0.0862455 | − | 0.135901i | ||||
\(412\) | −0.878228 | − | 3.42047i | −0.0432672 | − | 0.168515i | ||||
\(413\) | 14.3005 | − | 36.1189i | 0.703681 | − | 1.77730i | ||||
\(414\) | 3.38221 | + | 0.868405i | 0.166227 | + | 0.0426798i | ||||
\(415\) | −0.759675 | − | 2.30186i | −0.0372910 | − | 0.112994i | ||||
\(416\) | 4.64011 | + | 1.83715i | 0.227500 | + | 0.0900736i | ||||
\(417\) | 18.5785 | + | 8.74239i | 0.909795 | + | 0.428117i | ||||
\(418\) | −4.28903 | − | 1.39359i | −0.209783 | − | 0.0681627i | ||||
\(419\) | −3.67363 | − | 19.2578i | −0.179468 | − | 0.940807i | −0.952062 | − | 0.305906i | \(-0.901041\pi\) |
0.772593 | − | 0.634901i | \(-0.218959\pi\) | |||||||
\(420\) | −3.27213 | − | 8.15436i | −0.159664 | − | 0.397892i | ||||
\(421\) | −2.66786 | − | 5.66949i | −0.130024 | − | 0.276314i | 0.829206 | − | 0.558944i | \(-0.188793\pi\) |
−0.959229 | + | 0.282630i | \(0.908793\pi\) | |||||||
\(422\) | 25.6779 | + | 4.89833i | 1.24998 | + | 0.238447i | ||||
\(423\) | −6.16740 | + | 5.10211i | −0.299869 | + | 0.248073i | ||||
\(424\) | −3.03740 | + | 9.34817i | −0.147509 | + | 0.453987i | ||||
\(425\) | 26.2117 | + | 4.74997i | 1.27146 | + | 0.230407i | ||||
\(426\) | −0.420373 | − | 1.29378i | −0.0203672 | − | 0.0626836i | ||||
\(427\) | −13.9463 | − | 8.85058i | −0.674908 | − | 0.428310i | ||||
\(428\) | −3.64873 | + | 6.63701i | −0.176368 | + | 0.320812i | ||||
\(429\) | 1.76211 | − | 9.23729i | 0.0850754 | − | 0.445981i | ||||
\(430\) | −10.7780 | − | 19.3926i | −0.519760 | − | 0.935196i | ||||
\(431\) | 2.04004 | + | 1.91573i | 0.0982653 | + | 0.0922773i | 0.732123 | − | 0.681172i | \(-0.238530\pi\) |
−0.633858 | + | 0.773450i | \(0.718530\pi\) | |||||||
\(432\) | − | 1.00000i | − | 0.0481125i | ||||||
\(433\) | 18.5694 | − | 19.7744i | 0.892389 | − | 0.950298i | −0.106642 | − | 0.994297i | \(-0.534010\pi\) |
0.999032 | + | 0.0439995i | \(0.0140100\pi\) | |||||||
\(434\) | −16.6901 | − | 26.2994i | −0.801150 | − | 1.26241i | ||||
\(435\) | −8.21603 | + | 3.29688i | −0.393928 | + | 0.158073i | ||||
\(436\) | −0.493901 | + | 0.195549i | −0.0236536 | + | 0.00936511i | ||||
\(437\) | 8.34069 | + | 0.524751i | 0.398989 | + | 0.0251023i | ||||
\(438\) | −10.9647 | − | 0.689841i | −0.523914 | − | 0.0329619i | ||||
\(439\) | 10.7172 | − | 4.24323i | 0.511503 | − | 0.202518i | −0.0981725 | − | 0.995169i | \(-0.531300\pi\) |
0.609676 | + | 0.792651i | \(0.291300\pi\) | |||||||
\(440\) | 2.24127 | − | 3.56794i | 0.106848 | − | 0.170095i | ||||
\(441\) | 4.52242 | + | 7.12619i | 0.215353 | + | 0.339342i | ||||
\(442\) | 18.2010 | − | 19.3821i | 0.865732 | − | 0.921911i | ||||
\(443\) | − | 17.9297i | − | 0.851867i | −0.904754 | − | 0.425933i | \(-0.859946\pi\) | ||
0.904754 | − | 0.425933i | \(-0.140054\pi\) | |||||||
\(444\) | 7.49609 | + | 7.03929i | 0.355749 | + | 0.334070i | ||||
\(445\) | −20.3911 | + | 3.98737i | −0.966629 | + | 0.189020i | ||||
\(446\) | 0.624350 | − | 3.27296i | 0.0295638 | − | 0.154979i | ||||
\(447\) | 1.68612 | − | 3.06705i | 0.0797509 | − | 0.145066i | ||||
\(448\) | −3.31769 | − | 2.10547i | −0.156746 | − | 0.0994741i | ||||
\(449\) | −0.0786494 | − | 0.242058i | −0.00371169 | − | 0.0114234i | 0.949184 | − | 0.314723i | \(-0.101912\pi\) |
−0.952895 | + | 0.303300i | \(0.901912\pi\) | |||||||
\(450\) | 3.88180 | + | 3.15144i | 0.182990 | + | 0.148560i | ||||
\(451\) | −4.40481 | + | 13.5566i | −0.207414 | + | 0.638355i | ||||
\(452\) | 8.91515 | − | 7.37525i | 0.419333 | − | 0.346903i | ||||
\(453\) | −5.98795 | − | 1.14226i | −0.281338 | − | 0.0536681i | ||||
\(454\) | −1.62911 | − | 3.46203i | −0.0764578 | − | 0.162481i | ||||
\(455\) | 33.6569 | − | 28.1059i | 1.57786 | − | 1.31763i | ||||
\(456\) | −0.448458 | − | 2.35090i | −0.0210010 | − | 0.110091i | ||||
\(457\) | −24.9344 | − | 8.10169i | −1.16638 | − | 0.378981i | −0.339092 | − | 0.940753i | \(-0.610120\pi\) |
−0.827292 | + | 0.561772i | \(0.810120\pi\) | |||||||
\(458\) | 26.5420 | + | 12.4897i | 1.24023 | + | 0.583607i | ||||
\(459\) | −4.95359 | − | 1.96127i | −0.231214 | − | 0.0915441i | ||||
\(460\) | −2.37858 | + | 7.43706i | −0.110902 | + | 0.346755i | ||||
\(461\) | −17.7976 | − | 4.56965i | −0.828917 | − | 0.212830i | −0.189687 | − | 0.981845i | \(-0.560747\pi\) |
−0.639231 | + | 0.769015i | \(0.720747\pi\) | |||||||
\(462\) | −2.72569 | + | 6.88430i | −0.126811 | + | 0.320287i | ||||
\(463\) | −7.19326 | − | 28.0159i | −0.334299 | − | 1.30201i | −0.884329 | − | 0.466865i | \(-0.845384\pi\) |
0.550029 | − | 0.835145i | \(-0.314616\pi\) | |||||||
\(464\) | −2.12139 | + | 3.34278i | −0.0984832 | + | 0.155185i | ||||
\(465\) | 15.5721 | + | 8.46750i | 0.722137 | + | 0.392671i | ||||
\(466\) | −1.34548 | + | 21.3858i | −0.0623282 | + | 0.990679i | ||||
\(467\) | 17.0754 | + | 31.0600i | 0.790153 | + | 1.43728i | 0.896542 | + | 0.442959i | \(0.146071\pi\) |
−0.106389 | + | 0.994325i | \(0.533929\pi\) | |||||||
\(468\) | 4.74631 | − | 1.54217i | 0.219398 | − | 0.0712868i | ||||
\(469\) | 8.85960 | + | 1.11923i | 0.409098 | + | 0.0516811i | ||||
\(470\) | −10.5869 | − | 14.4312i | −0.488338 | − | 0.665661i | ||||
\(471\) | −11.2917 | + | 10.6037i | −0.520296 | + | 0.488591i | ||||
\(472\) | 6.76760 | + | 7.20677i | 0.311504 | + | 0.331718i | ||||
\(473\) | −4.64963 | + | 18.1091i | −0.213790 | + | 0.832657i | ||||
\(474\) | −13.6334 | − | 9.90523i | −0.626202 | − | 0.454962i | ||||
\(475\) | 10.5390 | + | 5.66790i | 0.483564 | + | 0.260061i | ||||
\(476\) | −16.9365 | + | 12.3051i | −0.776284 | + | 0.564003i | ||||
\(477\) | 3.61839 | + | 9.13900i | 0.165675 | + | 0.418446i | ||||
\(478\) | −0.534347 | − | 4.22979i | −0.0244405 | − | 0.193466i | ||||
\(479\) | 19.4826 | + | 10.7106i | 0.890182 | + | 0.489381i | 0.860076 | − | 0.510165i | \(-0.170416\pi\) |
0.0301052 | + | 0.999547i | \(0.490416\pi\) | |||||||
\(480\) | 2.23228 | + | 0.130108i | 0.101889 | + | 0.00593860i | ||||
\(481\) | −21.8504 | + | 46.4345i | −0.996293 | + | 2.11723i | ||||
\(482\) | 4.02070 | − | 5.53401i | 0.183138 | − | 0.252067i | ||||
\(483\) | 1.71971 | − | 13.6129i | 0.0782495 | − | 0.619408i | ||||
\(484\) | 7.21527 | − | 1.85257i | 0.327967 | − | 0.0842076i | ||||
\(485\) | 0.795344 | − | 13.6458i | 0.0361147 | − | 0.619623i | ||||
\(486\) | −0.637424 | − | 0.770513i | −0.0289141 | − | 0.0349512i | ||||
\(487\) | 1.84835 | + | 1.52909i | 0.0837566 | + | 0.0692895i | 0.678360 | − | 0.734730i | \(-0.262691\pi\) |
−0.594603 | + | 0.804019i | \(0.702691\pi\) | |||||||
\(488\) | 3.54923 | − | 2.25241i | 0.160666 | − | 0.101962i | ||||
\(489\) | 0.701501 | + | 11.1500i | 0.0317230 | + | 0.504222i | ||||
\(490\) | −16.4961 | + | 9.16812i | −0.745216 | + | 0.414174i | ||||
\(491\) | −24.2245 | + | 29.2824i | −1.09324 | + | 1.32150i | −0.150259 | + | 0.988647i | \(0.548011\pi\) |
−0.942979 | + | 0.332852i | \(0.891989\pi\) | |||||||
\(492\) | −7.43064 | + | 1.41747i | −0.334999 | + | 0.0639045i | ||||
\(493\) | 12.3982 | + | 17.0646i | 0.558385 | + | 0.768551i | ||||
\(494\) | 10.4665 | − | 5.75400i | 0.470910 | − | 0.258885i | ||||
\(495\) | −0.547367 | − | 4.17778i | −0.0246023 | − | 0.187777i | ||||
\(496\) | 7.86450 | − | 0.993518i | 0.353127 | − | 0.0446103i | ||||
\(497\) | −4.83663 | + | 2.27595i | −0.216953 | + | 0.102090i | ||||
\(498\) | −1.08189 | + | 0.0680670i | −0.0484808 | + | 0.00305016i | ||||
\(499\) | −25.6747 | −1.14936 | −0.574678 | − | 0.818379i | \(-0.694873\pi\) | ||||
−0.574678 | + | 0.818379i | \(0.694873\pi\) | |||||||
\(500\) | −7.53996 | + | 8.25524i | −0.337197 | + | 0.369186i | ||||
\(501\) | 2.73042 | 0.121986 | ||||||||
\(502\) | −0.184103 | + | 0.0115828i | −0.00821692 | + | 0.000516965i | ||||
\(503\) | −4.92853 | + | 2.31919i | −0.219752 | + | 0.103408i | −0.532505 | − | 0.846427i | \(-0.678749\pi\) |
0.312752 | + | 0.949835i | \(0.398749\pi\) | |||||||
\(504\) | −3.89840 | + | 0.492483i | −0.173649 | + | 0.0219369i | ||||
\(505\) | 14.4215 | + | 2.68217i | 0.641750 | + | 0.119355i | ||||
\(506\) | 5.76603 | − | 3.16990i | 0.256331 | − | 0.140919i | ||||
\(507\) | 6.99800 | + | 9.63192i | 0.310792 | + | 0.427769i | ||||
\(508\) | 13.4420 | − | 2.56419i | 0.596391 | − | 0.113768i | ||||
\(509\) | 11.6256 | − | 14.0530i | 0.515296 | − | 0.622886i | −0.447117 | − | 0.894475i | \(-0.647549\pi\) |
0.962413 | + | 0.271589i | \(0.0875492\pi\) | |||||||
\(510\) | 5.02260 | − | 10.8026i | 0.222404 | − | 0.478348i | ||||
\(511\) | 2.71065 | + | 43.0846i | 0.119912 | + | 1.90595i | ||||
\(512\) | 0.844328 | − | 0.535827i | 0.0373144 | − | 0.0236804i | ||||
\(513\) | −1.84406 | − | 1.52554i | −0.0814174 | − | 0.0673543i | ||||
\(514\) | −9.26507 | − | 11.1995i | −0.408665 | − | 0.493991i | ||||
\(515\) | 5.00530 | − | 6.10751i | 0.220560 | − | 0.269129i | ||||
\(516\) | −9.61037 | + | 2.46752i | −0.423073 | + | 0.108627i | ||||
\(517\) | −1.89036 | + | 14.9638i | −0.0831380 | + | 0.658105i | ||||
\(518\) | 23.7503 | − | 32.6895i | 1.04353 | − | 1.43629i | ||||
\(519\) | −8.66677 | + | 18.4178i | −0.380429 | + | 0.808453i | ||||
\(520\) | 2.82502 | + | 10.7957i | 0.123885 | + | 0.473424i | ||||
\(521\) | −21.6102 | − | 11.8803i | −0.946761 | − | 0.520486i | −0.0679672 | − | 0.997688i | \(-0.521651\pi\) |
−0.878794 | + | 0.477201i | \(0.841651\pi\) | |||||||
\(522\) | 0.496207 | + | 3.92788i | 0.0217184 | + | 0.171919i | ||||
\(523\) | −11.2126 | − | 28.3199i | −0.490294 | − | 1.23834i | −0.938769 | − | 0.344546i | \(-0.888033\pi\) |
0.448475 | − | 0.893795i | \(-0.351967\pi\) | |||||||
\(524\) | −13.4063 | + | 9.74028i | −0.585659 | + | 0.425506i | ||||
\(525\) | 10.3739 | − | 16.6849i | 0.452753 | − | 0.728187i | ||||
\(526\) | −18.1534 | − | 13.1892i | −0.791524 | − | 0.575076i | ||||
\(527\) | 10.5029 | − | 40.9061i | 0.457514 | − | 1.78190i | ||||
\(528\) | −1.28991 | − | 1.37362i | −0.0561362 | − | 0.0597790i | ||||
\(529\) | 7.87761 | − | 7.39757i | 0.342505 | − | 0.321633i | ||||
\(530\) | −20.8716 | + | 6.88819i | −0.906604 | + | 0.299204i | ||||
\(531\) | 9.80829 | + | 1.23908i | 0.425644 | + | 0.0537713i | ||||
\(532\) | −8.94389 | + | 2.90605i | −0.387767 | + | 0.125993i | ||||
\(533\) | −18.1870 | − | 33.0821i | −0.787768 | − | 1.43294i | ||||
\(534\) | −0.583442 | + | 9.27354i | −0.0252480 | + | 0.401305i | ||||
\(535\) | −16.7921 | + | 2.20008i | −0.725986 | + | 0.0951177i | ||||
\(536\) | −1.21773 | + | 1.91884i | −0.0525981 | + | 0.0828813i | ||||
\(537\) | 5.48904 | + | 21.3784i | 0.236869 | + | 0.922546i | ||||
\(538\) | 2.84672 | − | 7.19000i | 0.122731 | − | 0.309983i | ||||
\(539\) | 15.4042 | + | 3.95513i | 0.663507 | + | 0.170360i | ||||
\(540\) | 1.80294 | − | 1.32266i | 0.0775860 | − | 0.0569182i | ||||
\(541\) | 12.0481 | + | 4.77016i | 0.517987 | + | 0.205085i | 0.612548 | − | 0.790434i | \(-0.290145\pi\) |
−0.0945610 | + | 0.995519i | \(0.530145\pi\) | |||||||
\(542\) | 5.06301 | + | 2.38247i | 0.217475 | + | 0.102336i | ||||
\(543\) | 6.67249 | + | 2.16802i | 0.286344 | + | 0.0930387i | ||||
\(544\) | −0.998316 | − | 5.23336i | −0.0428025 | − | 0.224378i | ||||
\(545\) | −1.00582 | − | 0.631827i | −0.0430848 | − | 0.0270645i | ||||
\(546\) | −8.34946 | − | 17.7435i | −0.357324 | − | 0.759352i | ||||
\(547\) | 36.4757 | + | 6.95811i | 1.55959 | + | 0.297507i | 0.893742 | − | 0.448582i | \(-0.148071\pi\) |
0.665846 | + | 0.746089i | \(0.268071\pi\) | |||||||
\(548\) | 2.51428 | − | 2.07999i | 0.107405 | − | 0.0888528i | ||||
\(549\) | 1.29899 | − | 3.99787i | 0.0554395 | − | 0.170625i | ||||
\(550\) | 9.39720 | − | 0.678312i | 0.400698 | − | 0.0289233i | ||||
\(551\) | 2.92802 | + | 9.01153i | 0.124738 | + | 0.383904i | ||||
\(552\) | 2.94832 | + | 1.87106i | 0.125489 | + | 0.0796377i | ||||
\(553\) | −31.9004 | + | 58.0266i | −1.35654 | + | 2.46754i | ||||
\(554\) | 2.44743 | − | 12.8299i | 0.103981 | − | 0.545088i | ||||
\(555\) | −2.77663 | + | 22.8255i | −0.117861 | + | 0.968890i | ||||
\(556\) | 14.9677 | + | 14.0556i | 0.634771 | + | 0.596090i | ||||
\(557\) | − | 11.2017i | − | 0.474630i | −0.971433 | − | 0.237315i | \(-0.923733\pi\) | ||
0.971433 | − | 0.237315i | \(-0.0762674\pi\) | |||||||
\(558\) | 5.42641 | − | 5.77854i | 0.229718 | − | 0.244625i | ||||
\(559\) | −26.5324 | − | 41.8084i | −1.12220 | − | 1.76831i | ||||
\(560\) | −0.592145 | − | 8.76640i | −0.0250227 | − | 0.370448i | ||||
\(561\) | −9.33420 | + | 3.69567i | −0.394090 | + | 0.156031i | ||||
\(562\) | 15.5298 | + | 0.977051i | 0.655084 | + | 0.0412144i | ||||
\(563\) | 11.6448 | + | 0.732627i | 0.490768 | + | 0.0308765i | 0.306247 | − | 0.951952i | \(-0.400927\pi\) |
0.184521 | + | 0.982829i | \(0.440927\pi\) | |||||||
\(564\) | −7.44218 | + | 2.94657i | −0.313372 | + | 0.124073i | ||||
\(565\) | 25.0888 | + | 6.31850i | 1.05549 | + | 0.265821i | ||||
\(566\) | −1.80298 | − | 2.84105i | −0.0757850 | − | 0.119418i | ||||
\(567\) | −2.68985 | + | 2.86440i | −0.112963 | + | 0.120293i | ||||
\(568\) | − | 1.36036i | − | 0.0570793i | ||||||
\(569\) | 2.32424 | + | 2.18260i | 0.0974370 | + | 0.0914995i | 0.731735 | − | 0.681589i | \(-0.238711\pi\) |
−0.634298 | + | 0.773089i | \(0.718711\pi\) | |||||||
\(570\) | 3.64536 | − | 3.91798i | 0.152687 | − | 0.164106i | ||||
\(571\) | 1.41176 | − | 7.40071i | 0.0590803 | − | 0.309710i | −0.940464 | − | 0.339893i | \(-0.889609\pi\) |
0.999544 | + | 0.0301832i | \(0.00960906\pi\) | |||||||
\(572\) | 4.53034 | − | 8.24067i | 0.189423 | − | 0.344560i | ||||
\(573\) | −13.4302 | − | 8.52308i | −0.561056 | − | 0.356057i | ||||
\(574\) | 9.18533 | + | 28.2695i | 0.383388 | + | 1.17995i | ||||
\(575\) | −16.5546 | + | 5.54827i | −0.690373 | + | 0.231379i | ||||
\(576\) | 0.309017 | − | 0.951057i | 0.0128757 | − | 0.0396274i | ||||
\(577\) | −4.99909 | + | 4.13561i | −0.208115 | + | 0.172168i | −0.735642 | − | 0.677371i | \(-0.763119\pi\) |
0.527527 | + | 0.849538i | \(0.323119\pi\) | |||||||
\(578\) | −11.1830 | − | 2.13327i | −0.465152 | − | 0.0887324i | ||||
\(579\) | −4.01313 | − | 8.52833i | −0.166780 | − | 0.354425i | ||||
\(580\) | −8.83270 | + | 0.596623i | −0.366758 | + | 0.0247734i | ||||
\(581\) | 0.798167 | + | 4.18414i | 0.0331135 | + | 0.173587i | ||||
\(582\) | −5.81375 | − | 1.88900i | −0.240988 | − | 0.0783017i | ||||
\(583\) | 16.7588 | + | 7.88609i | 0.694078 | + | 0.326608i | ||||
\(584\) | −10.2149 | − | 4.04436i | −0.422695 | − | 0.167357i | ||||
\(585\) | 9.05817 | + | 6.51752i | 0.374509 | + | 0.269466i | ||||
\(586\) | −2.34156 | − | 0.601210i | −0.0967288 | − | 0.0248357i | ||||
\(587\) | −15.2869 | + | 38.6103i | −0.630958 | + | 1.59362i | 0.163666 | + | 0.986516i | \(0.447668\pi\) |
−0.794624 | + | 0.607102i | \(0.792332\pi\) | |||||||
\(588\) | 2.09896 | + | 8.17491i | 0.0865597 | + | 0.337128i | ||||
\(589\) | 10.1655 | − | 16.0183i | 0.418863 | − | 0.660022i | ||||
\(590\) | −4.04210 | + | 21.7336i | −0.166411 | + | 0.894760i | ||||
\(591\) | −0.189391 | + | 3.01028i | −0.00779050 | + | 0.123826i | ||||
\(592\) | 4.95394 | + | 9.01119i | 0.203606 | + | 0.370357i | ||||
\(593\) | −15.8135 | + | 5.13811i | −0.649381 | + | 0.210997i | −0.615141 | − | 0.788417i | \(-0.710901\pi\) |
−0.0342400 | + | 0.999414i | \(0.510901\pi\) | |||||||
\(594\) | −1.86947 | − | 0.236169i | −0.0767053 | − | 0.00969013i | ||||
\(595\) | −44.5865 | − | 14.2600i | −1.82787 | − | 0.584603i | ||||
\(596\) | 2.55137 | − | 2.39589i | 0.104508 | − | 0.0981396i | ||||
\(597\) | −7.91960 | − | 8.43352i | −0.324128 | − | 0.345161i | ||||
\(598\) | −4.33383 | + | 16.8791i | −0.177223 | + | 0.690239i | ||||
\(599\) | −8.86859 | − | 6.44341i | −0.362361 | − | 0.263271i | 0.391675 | − | 0.920104i | \(-0.371896\pi\) |
−0.754036 | + | 0.656833i | \(0.771896\pi\) | |||||||
\(600\) | 2.71797 | + | 4.19674i | 0.110961 | + | 0.171331i | ||||
\(601\) | −28.6914 | + | 20.8456i | −1.17035 | + | 0.850308i | −0.991051 | − | 0.133487i | \(-0.957383\pi\) |
−0.179298 | + | 0.983795i | \(0.557383\pi\) | |||||||
\(602\) | 14.3523 | + | 36.2499i | 0.584957 | + | 1.47743i | ||||
\(603\) | 0.284835 | + | 2.25470i | 0.0115994 | + | 0.0918186i | ||||
\(604\) | −5.34190 | − | 2.93673i | −0.217359 | − | 0.119494i | ||||
\(605\) | 12.8834 | + | 10.5584i | 0.523784 | + | 0.429258i | ||||
\(606\) | 2.79316 | − | 5.93576i | 0.113464 | − | 0.241124i | ||||
\(607\) | −8.93963 | + | 12.3043i | −0.362848 | + | 0.499418i | −0.950940 | − | 0.309377i | \(-0.899880\pi\) |
0.588091 | + | 0.808795i | \(0.299880\pi\) | |||||||
\(608\) | 0.299959 | − | 2.37442i | 0.0121649 | − | 0.0962954i | ||||
\(609\) | 15.0681 | − | 3.86883i | 0.610590 | − | 0.156773i | ||||
\(610\) | 8.75536 | + | 3.41986i | 0.354494 | + | 0.138466i | ||||
\(611\) | −25.4624 | − | 30.7788i | −1.03010 | − | 1.24518i | ||||
\(612\) | −4.10508 | − | 3.39602i | −0.165938 | − | 0.137276i | ||||
\(613\) | −15.2000 | + | 9.64624i | −0.613924 | + | 0.389608i | −0.806123 | − | 0.591748i | \(-0.798438\pi\) |
0.192199 | + | 0.981356i | \(0.438438\pi\) | |||||||
\(614\) | 0.960985 | + | 15.2744i | 0.0387822 | + | 0.616425i | ||||
\(615\) | −12.3838 | − | 11.5221i | −0.499363 | − | 0.464617i | ||||
\(616\) | −4.71965 | + | 5.70508i | −0.190160 | + | 0.229864i | ||||
\(617\) | 10.2606 | − | 1.95731i | 0.413075 | − | 0.0787984i | 0.0233453 | − | 0.999727i | \(-0.492568\pi\) |
0.389730 | + | 0.920929i | \(0.372568\pi\) | |||||||
\(618\) | −2.07572 | − | 2.85698i | −0.0834976 | − | 0.114925i | ||||
\(619\) | 20.4385 | − | 11.2362i | 0.821494 | − | 0.451620i | −0.0148070 | − | 0.999890i | \(-0.504713\pi\) |
0.836301 | + | 0.548270i | \(0.184713\pi\) | |||||||
\(620\) | 12.1933 | + | 12.8651i | 0.489695 | + | 0.516675i | ||||
\(621\) | 3.46438 | − | 0.437653i | 0.139021 | − | 0.0175624i | ||||
\(622\) | 27.8148 | − | 13.0887i | 1.11527 | − | 0.524807i | ||||
\(623\) | 36.4393 | − | 2.29257i | 1.45991 | − | 0.0918498i | ||||
\(624\) | 4.99056 | 0.199782 | ||||||||
\(625\) | −24.8565 | − | 2.67518i | −0.994258 | − | 0.107007i | ||||
\(626\) | 18.9013 | 0.755447 | ||||||||
\(627\) | −4.50085 | + | 0.283169i | −0.179747 | + | 0.0113087i | ||||
\(628\) | −14.0158 | + | 6.59533i | −0.559291 | + | 0.263183i | ||||
\(629\) | 54.3538 | − | 6.86648i | 2.16723 | − | 0.273784i | ||||
\(630\) | −6.04417 | − | 6.37718i | −0.240805 | − | 0.254073i | ||||
\(631\) | 13.4545 | − | 7.39668i | 0.535615 | − | 0.294457i | −0.190897 | − | 0.981610i | \(-0.561140\pi\) |
0.726513 | + | 0.687153i | \(0.241140\pi\) | |||||||
\(632\) | −9.90523 | − | 13.6334i | −0.394009 | − | 0.542307i | ||||
\(633\) | 25.6779 | − | 4.89833i | 1.02061 | − | 0.194691i | ||||
\(634\) | 7.09981 | − | 8.58219i | 0.281969 | − | 0.340842i | ||||
\(635\) | 22.4022 | + | 20.8435i | 0.889005 | + | 0.827148i | ||||
\(636\) | 0.617184 | + | 9.80985i | 0.0244729 | + | 0.388986i | ||||
\(637\) | −35.5637 | + | 22.5694i | −1.40908 | + | 0.894232i | ||||
\(638\) | 5.74822 | + | 4.75534i | 0.227574 | + | 0.188266i | ||||
\(639\) | −0.867124 | − | 1.04817i | −0.0343029 | − | 0.0414651i | ||||
\(640\) | 2.08282 | + | 0.813553i | 0.0823306 | + | 0.0321585i | ||||
\(641\) | 38.6687 | − | 9.92843i | 1.52732 | − | 0.392149i | 0.610685 | − | 0.791874i | \(-0.290894\pi\) |
0.916635 | + | 0.399724i | \(0.130894\pi\) | |||||||
\(642\) | −0.949254 | + | 7.51412i | −0.0374641 | + | 0.296559i | ||||
\(643\) | −0.841869 | + | 1.15873i | −0.0332001 | + | 0.0456960i | −0.825294 | − | 0.564703i | \(-0.808991\pi\) |
0.792094 | + | 0.610399i | \(0.208991\pi\) | |||||||
\(644\) | 5.84216 | − | 12.4152i | 0.230213 | − | 0.489228i | ||||
\(645\) | −17.1600 | − | 14.0632i | −0.675675 | − | 0.553737i | ||||
\(646\) | −11.1736 | − | 6.14274i | −0.439620 | − | 0.241683i | ||||
\(647\) | −0.571785 | − | 4.52615i | −0.0224792 | − | 0.177941i | 0.976878 | − | 0.213799i | \(-0.0685837\pi\) |
−0.999357 | + | 0.0358577i | \(0.988584\pi\) | |||||||
\(648\) | −0.368125 | − | 0.929776i | −0.0144613 | − | 0.0365251i | ||||
\(649\) | 15.0711 | − | 10.9498i | 0.591594 | − | 0.429818i | ||||
\(650\) | −15.7275 | + | 19.3724i | −0.616882 | + | 0.759848i | ||||
\(651\) | −25.1995 | − | 18.3085i | −0.987646 | − | 0.717567i | ||||
\(652\) | −2.77838 | + | 10.8211i | −0.108810 | + | 0.423786i | ||||
\(653\) | −32.9331 | − | 35.0702i | −1.28877 | − | 1.37240i | −0.890400 | − | 0.455179i | \(-0.849575\pi\) |
−0.398373 | − | 0.917224i | \(-0.630425\pi\) | |||||||
\(654\) | −0.387231 | + | 0.363634i | −0.0151419 | + | 0.0142192i | ||||
\(655\) | −35.2931 | − | 11.2877i | −1.37902 | − | 0.441047i | ||||
\(656\) | −7.50498 | − | 0.948099i | −0.293020 | − | 0.0370171i | ||||
\(657\) | −10.4487 | + | 3.39498i | −0.407642 | + | 0.132451i | ||||
\(658\) | 15.1521 | + | 27.5615i | 0.590689 | + | 1.07446i | ||||
\(659\) | 2.41945 | − | 38.4560i | 0.0942483 | − | 1.49803i | −0.612444 | − | 0.790514i | \(-0.709814\pi\) |
0.706693 | − | 0.707521i | \(-0.250186\pi\) | |||||||
\(660\) | 0.770429 | − | 4.14245i | 0.0299889 | − | 0.161245i | ||||
\(661\) | 19.8804 | − | 31.3265i | 0.773259 | − | 1.21846i | −0.197946 | − | 0.980213i | \(-0.563427\pi\) |
0.971204 | − | 0.238248i | \(-0.0765730\pi\) | |||||||
\(662\) | −6.88382 | − | 26.8107i | −0.267547 | − | 1.04203i | ||||
\(663\) | 9.78782 | − | 24.7212i | 0.380128 | − | 0.960093i | ||||
\(664\) | −1.04998 | − | 0.269588i | −0.0407470 | − | 0.0104620i | ||||
\(665\) | −17.0691 | − | 12.2816i | −0.661912 | − | 0.476258i | ||||
\(666\) | 9.56102 | + | 3.78548i | 0.370482 | + | 0.146684i | ||||
\(667\) | −12.5091 | − | 5.88634i | −0.484355 | − | 0.227920i | ||||
\(668\) | 2.59679 | + | 0.843748i | 0.100473 | + | 0.0326456i | ||||
\(669\) | −0.624350 | − | 3.27296i | −0.0241388 | − | 0.126540i | ||||
\(670\) | −5.07019 | + | 0.342477i | −0.195878 | + | 0.0132310i | ||||
\(671\) | −3.37259 | − | 7.16713i | −0.130198 | − | 0.276684i | ||||
\(672\) | −3.85979 | − | 0.736293i | −0.148894 | − | 0.0284031i | ||||
\(673\) | −31.4716 | + | 26.0356i | −1.21314 | + | 1.00360i | −0.213498 | + | 0.976944i | \(0.568486\pi\) |
−0.999645 | + | 0.0266554i | \(0.991514\pi\) | |||||||
\(674\) | 8.02029 | − | 24.6839i | 0.308930 | − | 0.950789i | ||||
\(675\) | 4.76933 | + | 1.50115i | 0.183572 | + | 0.0577793i | ||||
\(676\) | 3.67907 | + | 11.3230i | 0.141503 | + | 0.435500i | ||||
\(677\) | 19.3940 | + | 12.3078i | 0.745372 | + | 0.473027i | 0.853489 | − | 0.521111i | \(-0.174482\pi\) |
−0.108117 | + | 0.994138i | \(0.534482\pi\) | |||||||
\(678\) | 5.57408 | − | 10.1392i | 0.214071 | − | 0.389395i | ||||
\(679\) | −4.50092 | + | 23.5946i | −0.172729 | + | 0.905479i | ||||
\(680\) | 8.11497 | − | 8.72184i | 0.311195 | − | 0.334467i | ||||
\(681\) | −2.78917 | − | 2.61920i | −0.106881 | − | 0.100368i | ||||
\(682\) | − | 14.9371i | − | 0.571971i | ||||||
\(683\) | 8.07241 | − | 8.59624i | 0.308882 | − | 0.328926i | −0.555733 | − | 0.831361i | \(-0.687562\pi\) |
0.864615 | + | 0.502435i | \(0.167562\pi\) | |||||||
\(684\) | −1.28239 | − | 2.02072i | −0.0490334 | − | 0.0772643i | ||||
\(685\) | 7.07562 | + | 1.78196i | 0.270346 | + | 0.0680852i | ||||
\(686\) | 5.26124 | − | 2.08307i | 0.200875 | − | 0.0795320i | ||||
\(687\) | 29.2759 | + | 1.84189i | 1.11695 | + | 0.0702723i | ||||
\(688\) | −9.90251 | − | 0.623013i | −0.377530 | − | 0.0237522i | ||||
\(689\) | −45.6088 | + | 18.0578i | −1.73756 | + | 0.687947i | ||||
\(690\) | 0.526220 | + | 7.79041i | 0.0200328 | + | 0.296576i | ||||
\(691\) | −19.8884 | − | 31.3392i | −0.756592 | − | 1.19220i | −0.976256 | − | 0.216622i | \(-0.930496\pi\) |
0.219664 | − | 0.975576i | \(-0.429504\pi\) | |||||||
\(692\) | −13.9340 | + | 14.8382i | −0.529692 | + | 0.564064i | ||||
\(693\) | 7.40426i | 0.281264i | ||||||||
\(694\) | −18.6328 | − | 17.4974i | −0.707292 | − | 0.664191i | ||||
\(695\) | −5.54419 | + | 45.5765i | −0.210303 | + | 1.72882i | ||||
\(696\) | −0.741862 | + | 3.88898i | −0.0281202 | + | 0.147411i | ||||
\(697\) | −19.4158 | + | 35.3171i | −0.735424 | + | 1.33773i | ||||
\(698\) | 16.1218 | + | 10.2312i | 0.610221 | + | 0.387258i | ||||
\(699\) | 6.62165 | + | 20.3793i | 0.250454 | + | 0.770817i | ||||
\(700\) | 15.0220 | − | 12.6625i | 0.567780 | − | 0.478599i | ||||
\(701\) | −11.6603 | + | 35.8866i | −0.440402 | + | 1.35542i | 0.447046 | + | 0.894511i | \(0.352476\pi\) |
−0.887448 | + | 0.460908i | \(0.847524\pi\) | |||||||
\(702\) | 3.84529 | − | 3.18110i | 0.145131 | − | 0.120063i | ||||
\(703\) | 24.1746 | + | 4.61156i | 0.911764 | + | 0.173928i | ||||
\(704\) | −0.802308 | − | 1.70499i | −0.0302381 | − | 0.0642593i | ||||
\(705\) | −15.1559 | − | 9.52047i | −0.570806 | − | 0.358562i | ||||
\(706\) | 2.20928 | + | 11.5815i | 0.0831474 | + | 0.435874i | ||||
\(707\) | −24.5156 | − | 7.96559i | −0.922002 | − | 0.299577i | ||||
\(708\) | 8.94535 | + | 4.20936i | 0.336187 | + | 0.158197i | ||||
\(709\) | −42.0505 | − | 16.6490i | −1.57924 | − | 0.625265i | −0.595257 | − | 0.803535i | \(-0.702950\pi\) |
−0.983982 | + | 0.178270i | \(0.942950\pi\) | |||||||
\(710\) | 2.45263 | − | 1.79929i | 0.0920457 | − | 0.0675260i | ||||
\(711\) | −16.3224 | − | 4.19087i | −0.612136 | − | 0.157170i | ||||
\(712\) | −3.42057 | + | 8.63936i | −0.128191 | + | 0.323774i | ||||
\(713\) | 6.88385 | + | 26.8108i | 0.257802 | + | 1.00407i | ||||
\(714\) | −11.2174 | + | 17.6757i | −0.419799 | + | 0.661498i | ||||
\(715\) | 20.8495 | − | 2.73167i | 0.779726 | − | 0.102159i | ||||
\(716\) | −1.38590 | + | 22.0283i | −0.0517935 | + | 0.823235i | ||||
\(717\) | −2.05391 | − | 3.73605i | −0.0767048 | − | 0.139525i | ||||
\(718\) | 1.04533 | − | 0.339648i | 0.0390113 | − | 0.0126756i | ||||
\(719\) | −5.38548 | − | 0.680345i | −0.200845 | − | 0.0253726i | 0.0242672 | − | 0.999706i | \(-0.492275\pi\) |
−0.225112 | + | 0.974333i | \(0.572275\pi\) | |||||||
\(720\) | 2.12342 | − | 0.700785i | 0.0791351 | − | 0.0261167i | ||||
\(721\) | −10.1154 | + | 9.49899i | −0.376717 | + | 0.353761i | ||||
\(722\) | 9.08542 | + | 9.67499i | 0.338124 | + | 0.360066i | ||||
\(723\) | 1.70114 | − | 6.62551i | 0.0632662 | − | 0.246406i | ||||
\(724\) | 5.67595 | + | 4.12382i | 0.210945 | + | 0.153261i | ||||
\(725\) | −12.7583 | − | 15.1356i | −0.473832 | − | 0.562124i | ||||
\(726\) | 6.02661 | − | 4.37859i | 0.223669 | − | 0.162505i | ||||
\(727\) | 5.76747 | + | 14.5670i | 0.213904 | + | 0.540259i | 0.996623 | − | 0.0821164i | \(-0.0261679\pi\) |
−0.782719 | + | 0.622375i | \(0.786168\pi\) | |||||||
\(728\) | −2.45776 | − | 19.4552i | −0.0910908 | − | 0.721058i | ||||
\(729\) | −0.876307 | − | 0.481754i | −0.0324558 | − | 0.0178427i | ||||
\(730\) | −6.21909 | − | 23.7661i | −0.230179 | − | 0.879622i | ||||
\(731\) | −22.5076 | + | 47.8311i | −0.832474 | + | 1.76910i | ||||
\(732\) | 2.47082 | − | 3.40079i | 0.0913242 | − | 0.125697i | ||||
\(733\) | −5.32289 | + | 42.1350i | −0.196605 | + | 1.55629i | 0.517149 | + | 0.855896i | \(0.326993\pi\) |
−0.713754 | + | 0.700396i | \(0.753007\pi\) | |||||||
\(734\) | 8.20402 | − | 2.10643i | 0.302816 | − | 0.0777499i | ||||
\(735\) | −11.9626 | + | 14.5969i | −0.441248 | + | 0.538415i | ||||
\(736\) | 2.22583 | + | 2.69057i | 0.0820453 | + | 0.0991757i | ||||
\(737\) | 3.29962 | + | 2.72969i | 0.121543 | + | 0.100549i | ||||
\(738\) | −6.38703 | + | 4.05333i | −0.235110 | + | 0.149205i | ||||
\(739\) | −2.30051 | − | 36.5655i | −0.0846255 | − | 1.34508i | −0.779704 | − | 0.626149i | \(-0.784630\pi\) |
0.695078 | − | 0.718934i | \(-0.255370\pi\) | |||||||
\(740\) | −9.69421 | + | 20.8504i | −0.356366 | + | 0.766474i | ||||
\(741\) | 7.61331 | − | 9.20291i | 0.279682 | − | 0.338077i | ||||
\(742\) | 37.9388 | − | 7.23721i | 1.39278 | − | 0.265686i | ||||
\(743\) | −16.2534 | − | 22.3708i | −0.596278 | − | 0.820706i | 0.399083 | − | 0.916915i | \(-0.369328\pi\) |
−0.995361 | + | 0.0962083i | \(0.969328\pi\) | |||||||
\(744\) | 6.94649 | − | 3.81887i | 0.254671 | − | 0.140006i | ||||
\(745\) | 7.69423 | + | 1.43100i | 0.281895 | + | 0.0524278i | ||||
\(746\) | −28.5593 | + | 3.60788i | −1.04563 | + | 0.132094i | ||||
\(747\) | −0.980863 | + | 0.461559i | −0.0358879 | + | 0.0168876i | ||||
\(748\) | −10.0194 | + | 0.630366i | −0.366345 | + | 0.0230485i | ||||
\(749\) | 29.7605 | 1.08743 | ||||||||
\(750\) | −3.97152 | + | 10.4512i | −0.145019 | + | 0.381623i | ||||
\(751\) | 3.77414 | 0.137720 | 0.0688601 | − | 0.997626i | \(-0.478064\pi\) | ||||
0.0688601 | + | 0.997626i | \(0.478064\pi\) | |||||||
\(752\) | −7.98848 | + | 0.502592i | −0.291310 | + | 0.0183277i | ||||
\(753\) | −0.166911 | + | 0.0785422i | −0.00608257 | + | 0.00286224i | ||||
\(754\) | −19.6023 | + | 2.47635i | −0.713875 | + | 0.0901834i | ||||
\(755\) | −1.77077 | − | 13.5154i | −0.0644448 | − | 0.491875i | ||||
\(756\) | −3.44335 | + | 1.89300i | −0.125233 | + | 0.0688476i | ||||
\(757\) | 6.10620 | + | 8.40447i | 0.221934 | + | 0.305466i | 0.905436 | − | 0.424483i | \(-0.139544\pi\) |
−0.683502 | + | 0.729948i | \(0.739544\pi\) | |||||||
\(758\) | 13.7322 | − | 2.61955i | 0.498774 | − | 0.0951463i | ||||
\(759\) | 4.19420 | − | 5.06992i | 0.152240 | − | 0.184026i | ||||
\(760\) | 4.67767 | − | 2.59974i | 0.169677 | − | 0.0943025i | ||||
\(761\) | −0.726170 | − | 11.5421i | −0.0263236 | − | 0.418402i | −0.989016 | − | 0.147806i | \(-0.952779\pi\) |
0.962693 | − | 0.270597i | \(-0.0872210\pi\) | |||||||
\(762\) | 11.5541 | − | 7.33245i | 0.418561 | − | 0.265627i | ||||
\(763\) | 1.60830 | + | 1.33050i | 0.0582242 | + | 0.0481673i | ||||
\(764\) | −10.1391 | − | 12.2561i | −0.366821 | − | 0.443410i | ||||
\(765\) | 0.693181 | − | 11.8930i | 0.0250620 | − | 0.429991i | ||||
\(766\) | 3.84371 | − | 0.986897i | 0.138879 | − | 0.0356580i | ||||
\(767\) | −6.18368 | + | 48.9489i | −0.223280 | + | 1.76744i | ||||
\(768\) | 0.587785 | − | 0.809017i | 0.0212099 | − | 0.0291929i | ||||
\(769\) | 3.09956 | − | 6.58690i | 0.111773 | − | 0.237530i | −0.841112 | − | 0.540860i | \(-0.818099\pi\) |
0.952885 | + | 0.303331i | \(0.0980987\pi\) | |||||||
\(770\) | −16.5284 | − | 0.963355i | −0.595641 | − | 0.0347169i | ||||
\(771\) | −12.7373 | − | 7.00237i | −0.458722 | − | 0.252184i | ||||
\(772\) | −1.18131 | − | 9.35105i | −0.0425164 | − | 0.336552i | ||||
\(773\) | −1.27261 | − | 3.21423i | −0.0457724 | − | 0.115608i | 0.905092 | − | 0.425216i | \(-0.139802\pi\) |
−0.950864 | + | 0.309608i | \(0.899802\pi\) | |||||||
\(774\) | −8.02714 | + | 5.83206i | −0.288530 | + | 0.209629i | ||||
\(775\) | −7.06738 | + | 38.9999i | −0.253868 | + | 1.40092i | ||||
\(776\) | −4.94547 | − | 3.59310i | −0.177532 | − | 0.128985i | ||||
\(777\) | 10.0487 | − | 39.1370i | 0.360494 | − | 1.40403i | ||||
\(778\) | 19.7556 | + | 21.0376i | 0.708273 | + | 0.754234i | ||||
\(779\) | −13.1975 | + | 12.3933i | −0.472850 | + | 0.444036i | ||||
\(780\) | 6.60081 | + | 8.99766i | 0.236347 | + | 0.322168i | ||||
\(781\) | −2.54315 | − | 0.321274i | −0.0910009 | − | 0.0114961i | ||||
\(782\) | 17.6934 | − | 5.74895i | 0.632716 | − | 0.205582i | ||||
\(783\) | 1.90731 | + | 3.46939i | 0.0681618 | + | 0.123986i | ||||
\(784\) | −0.529957 | + | 8.42342i | −0.0189270 | + | 0.300836i | ||||
\(785\) | −30.4291 | − | 16.5462i | −1.08606 | − | 0.590559i | ||||
\(786\) | −8.87927 | + | 13.9915i | −0.316713 | + | 0.499060i | ||||
\(787\) | −3.99345 | − | 15.5535i | −0.142351 | − | 0.554421i | −0.999242 | − | 0.0389234i | \(-0.987607\pi\) |
0.856891 | − | 0.515497i | \(-0.172393\pi\) | |||||||
\(788\) | −1.11035 | + | 2.80442i | −0.0395546 | + | 0.0999034i | ||||
\(789\) | −21.7338 | − | 5.58030i | −0.773745 | − | 0.198664i | ||||
\(790\) | 11.4789 | − | 35.8908i | 0.408400 | − | 1.27694i | ||||
\(791\) | −42.2719 | − | 16.7366i | −1.50302 | − | 0.595086i | ||||
\(792\) | −1.70499 | − | 0.802308i | −0.0605843 | − | 0.0285088i | ||||
\(793\) | 19.9516 | + | 6.48268i | 0.708503 | + | 0.230207i | ||||
\(794\) | −4.17361 | − | 21.8789i | −0.148116 | − | 0.776451i | ||||
\(795\) | −16.8702 | + | 14.0878i | −0.598324 | + | 0.499644i | ||||
\(796\) | −4.92589 | − | 10.4680i | −0.174593 | − | 0.371030i | ||||
\(797\) | −5.43944 | − | 1.03763i | −0.192675 | − | 0.0367547i | 0.0901406 | − | 0.995929i | \(-0.471268\pi\) |
−0.282815 | + | 0.959174i | \(0.591268\pi\) | |||||||
\(798\) | −7.24603 | + | 5.99444i | −0.256507 | + | 0.212201i | ||||
\(799\) | −13.1779 | + | 40.5574i | −0.466200 | + | 1.43482i | ||||
\(800\) | 1.28807 | + | 4.83124i | 0.0455403 | + | 0.170810i | ||||
\(801\) | 2.87135 | + | 8.83710i | 0.101454 | + | 0.312243i | ||||
\(802\) | −30.5277 | − | 19.3735i | −1.07797 | − | 0.684101i | ||||
\(803\) | −9.97325 | + | 18.1413i | −0.351948 | + | 0.640192i | ||||
\(804\) | −0.425847 | + | 2.23237i | −0.0150185 | + | 0.0787296i | ||||
\(805\) | 30.1110 | − | 5.88806i | 1.06127 | − | 0.207527i | ||||
\(806\) | 28.8382 | + | 27.0808i | 1.01578 | + | 0.953882i | ||||
\(807\) | − | 7.73304i | − | 0.272216i | ||||||
\(808\) | 4.49070 | − | 4.78211i | 0.157982 | − | 0.168234i | ||||
\(809\) | −0.305123 | − | 0.480797i | −0.0107276 | − | 0.0169039i | 0.838922 | − | 0.544252i | \(-0.183186\pi\) |
−0.849649 | + | 0.527348i | \(0.823186\pi\) | |||||||
\(810\) | 1.18942 | − | 1.89348i | 0.0417921 | − | 0.0665302i | ||||
\(811\) | −33.8813 | + | 13.4146i | −1.18973 | + | 0.471049i | −0.877787 | − | 0.479051i | \(-0.840981\pi\) |
−0.311946 | + | 0.950100i | \(0.600981\pi\) | |||||||
\(812\) | 15.5261 | + | 0.976822i | 0.544861 | + | 0.0342797i | ||||
\(813\) | 5.58451 | + | 0.351348i | 0.195857 | + | 0.0123223i | ||||
\(814\) | 18.0161 | − | 7.13308i | 0.631464 | − | 0.250014i | ||||
\(815\) | −23.1846 | + | 9.30336i | −0.812120 | + | 0.325882i | ||||
\(816\) | −2.85474 | − | 4.49835i | −0.0999358 | − | 0.157474i | ||||
\(817\) | −16.2556 | + | 17.3104i | −0.568710 | + | 0.605615i | ||||
\(818\) | − | 2.61424i | − | 0.0914048i | ||||||
\(819\) | −14.2950 | − | 13.4239i | −0.499506 | − | 0.469068i | ||||
\(820\) | −8.21716 | − | 14.7850i | −0.286956 | − | 0.516315i | ||||
\(821\) | −2.76530 | + | 14.4962i | −0.0965095 | + | 0.505920i | 0.900902 | + | 0.434022i | \(0.142906\pi\) |
−0.997412 | + | 0.0718988i | \(0.977094\pi\) | |||||||
\(822\) | 1.57202 | − | 2.85949i | 0.0548305 | − | 0.0997363i | ||||
\(823\) | 40.4690 | + | 25.6824i | 1.41066 | + | 0.895233i | 0.999864 | − | 0.0164936i | \(-0.00525031\pi\) |
0.410798 | + | 0.911727i | \(0.365250\pi\) | |||||||
\(824\) | −1.09127 | − | 3.35858i | −0.0380161 | − | 0.117002i | ||||
\(825\) | 8.48759 | − | 4.09002i | 0.295500 | − | 0.142396i | ||||
\(826\) | 12.0043 | − | 36.9456i | 0.417685 | − | 1.28550i | ||||
\(827\) | −19.8480 | + | 16.4197i | −0.690181 | + | 0.570967i | −0.915010 | − | 0.403431i | \(-0.867818\pi\) |
0.224829 | + | 0.974398i | \(0.427818\pi\) | |||||||
\(828\) | 3.43007 | + | 0.654320i | 0.119203 | + | 0.0227392i | ||||
\(829\) | −6.67414 | − | 14.1833i | −0.231803 | − | 0.492606i | 0.754758 | − | 0.656004i | \(-0.227754\pi\) |
−0.986560 | + | 0.163398i | \(0.947754\pi\) | |||||||
\(830\) | −0.902710 | − | 2.24961i | −0.0313335 | − | 0.0780852i | ||||
\(831\) | −2.44743 | − | 12.8299i | −0.0849003 | − | 0.445063i | ||||
\(832\) | 4.74631 | + | 1.54217i | 0.164549 | + | 0.0534651i | ||||
\(833\) | 40.6868 | + | 19.1458i | 1.40971 | + | 0.663361i | ||||
\(834\) | 19.0908 | + | 7.55859i | 0.661061 | + | 0.261732i | ||||
\(835\) | 1.91344 | + | 5.79783i | 0.0662174 | + | 0.200642i | ||||
\(836\) | −4.36807 | − | 1.12153i | −0.151073 | − | 0.0387889i | ||||
\(837\) | 2.91813 | − | 7.37035i | 0.100865 | − | 0.254756i | ||||
\(838\) | −4.87559 | − | 18.9892i | −0.168424 | − | 0.655970i | ||||
\(839\) | −21.9408 | + | 34.5732i | −0.757482 | + | 1.19360i | 0.218518 | + | 0.975833i | \(0.429878\pi\) |
−0.976001 | + | 0.217768i | \(0.930122\pi\) | |||||||
\(840\) | −3.77769 | − | 7.93281i | −0.130343 | − | 0.273708i | ||||
\(841\) | −0.836716 | + | 13.2992i | −0.0288523 | + | 0.458594i | ||||
\(842\) | −3.01859 | − | 5.49079i | −0.104027 | − | 0.189225i | ||||
\(843\) | 14.7989 | − | 4.80846i | 0.509701 | − | 0.165612i | ||||
\(844\) | 25.9348 | + | 3.27633i | 0.892714 | + | 0.112776i | ||||
\(845\) | −15.5485 | + | 21.6096i | −0.534884 | + | 0.743392i | ||||
\(846\) | −5.83486 | + | 5.47930i | −0.200607 | + | 0.188382i | ||||
\(847\) | −20.0375 | − | 21.3378i | −0.688497 | − | 0.733175i | ||||
\(848\) | −2.44443 | + | 9.52044i | −0.0839422 | + | 0.326933i | ||||
\(849\) | −2.72223 | − | 1.97782i | −0.0934267 | − | 0.0678785i | ||||
\(850\) | 26.4583 | + | 3.09475i | 0.907511 | + | 0.106149i | ||||
\(851\) | −29.0501 | + | 21.1061i | −0.995824 | + | 0.723509i | ||||
\(852\) | −0.500781 | − | 1.26483i | −0.0171565 | − | 0.0433323i | ||||
\(853\) | 3.09946 | + | 24.5347i | 0.106123 | + | 0.840053i | 0.951877 | + | 0.306480i | \(0.0991512\pi\) |
−0.845754 | + | 0.533574i | \(0.820849\pi\) | |||||||
\(854\) | −14.4745 | − | 7.95742i | −0.495307 | − | 0.272297i | ||||
\(855\) | 1.94707 | − | 4.98479i | 0.0665883 | − | 0.170476i | ||||
\(856\) | −3.22479 | + | 6.85302i | −0.110221 | + | 0.234231i | ||||
\(857\) | 29.6800 | − | 40.8510i | 1.01385 | − | 1.39544i | 0.0974204 | − | 0.995243i | \(-0.468941\pi\) |
0.916428 | − | 0.400199i | \(-0.131059\pi\) | |||||||
\(858\) | 1.17862 | − | 9.32971i | 0.0402373 | − | 0.318511i | ||||
\(859\) | −9.52710 | + | 2.44614i | −0.325061 | + | 0.0834614i | −0.407694 | − | 0.913119i | \(-0.633667\pi\) |
0.0826333 | + | 0.996580i | \(0.473667\pi\) | |||||||
\(860\) | −11.9744 | − | 18.6776i | −0.408323 | − | 0.636901i | ||||
\(861\) | 18.9470 | + | 22.9030i | 0.645712 | + | 0.780532i | ||||
\(862\) | 2.15631 | + | 1.78385i | 0.0734441 | + | 0.0607582i | ||||
\(863\) | 29.5889 | − | 18.7777i | 1.00722 | − | 0.639199i | 0.0735308 | − | 0.997293i | \(-0.476573\pi\) |
0.933686 | + | 0.358094i | \(0.116573\pi\) | |||||||
\(864\) | −0.0627905 | − | 0.998027i | −0.00213618 | − | 0.0339536i | ||||
\(865\) | −45.1823 | − | 5.49623i | −1.53624 | − | 0.186877i | ||||
\(866\) | 17.2911 | − | 20.9014i | 0.587576 | − | 0.710258i | ||||
\(867\) | −11.1830 | + | 2.13327i | −0.379795 | + | 0.0724497i | ||||
\(868\) | −18.3085 | − | 25.1995i | −0.621431 | − | 0.855326i | ||||
\(869\) | −27.8265 | + | 15.2978i | −0.943950 | + | 0.518941i | ||||
\(870\) | −7.99280 | + | 3.80626i | −0.270981 | + | 0.129044i | ||||
\(871\) | −11.2522 | + | 1.42149i | −0.381268 | + | 0.0481653i | ||||
\(872\) | −0.480648 | + | 0.226176i | −0.0162768 | + | 0.00765927i | ||||
\(873\) | −6.10088 | + | 0.383835i | −0.206483 | + | 0.0129908i | ||||
\(874\) | 8.35718 | 0.282686 | ||||||||
\(875\) | 42.6988 | + | 10.3355i | 1.44348 | + | 0.349405i | ||||
\(876\) | −10.9864 | −0.371196 | ||||||||
\(877\) | 22.2344 | − | 1.39887i | 0.750802 | − | 0.0472364i | 0.317222 | − | 0.948351i | \(-0.397250\pi\) |
0.433580 | + | 0.901115i | \(0.357250\pi\) | |||||||
\(878\) | 10.4296 | − | 4.90780i | 0.351982 | − | 0.165630i | ||||
\(879\) | −2.39844 | + | 0.302994i | −0.0808975 | + | 0.0102197i | ||||
\(880\) | 2.01281 | − | 3.70163i | 0.0678518 | − | 0.124782i | ||||
\(881\) | 34.1689 | − | 18.7845i | 1.15118 | − | 0.632867i | 0.212332 | − | 0.977198i | \(-0.431894\pi\) |
0.938848 | + | 0.344331i | \(0.111894\pi\) | |||||||
\(882\) | 4.96095 | + | 6.82816i | 0.167044 | + | 0.229916i | ||||
\(883\) | −28.1367 | + | 5.36737i | −0.946876 | + | 0.180626i | −0.637619 | − | 0.770352i | \(-0.720080\pi\) |
−0.309257 | + | 0.950978i | \(0.600080\pi\) | |||||||
\(884\) | 16.9480 | − | 20.4867i | 0.570025 | − | 0.689041i | ||||
\(885\) | 4.24243 | + | 21.6954i | 0.142608 | + | 0.729284i | ||||
\(886\) | −1.12582 | − | 17.8943i | −0.0378226 | − | 0.601172i | ||||
\(887\) | −28.1719 | + | 17.8784i | −0.945919 | + | 0.600298i | −0.916830 | − | 0.399279i | \(-0.869261\pi\) |
−0.0290890 | + | 0.999577i | \(0.509261\pi\) | |||||||
\(888\) | 7.92330 | + | 6.55472i | 0.265888 | + | 0.219962i | ||||
\(889\) | −34.2750 | − | 41.4314i | −1.14955 | − | 1.38956i | ||||
\(890\) | −20.1005 | + | 5.25987i | −0.673769 | + | 0.176311i | ||||
\(891\) | −1.82513 | + | 0.468614i | −0.0611441 | + | 0.0156991i | ||||
\(892\) | 0.417607 | − | 3.30570i | 0.0139825 | − | 0.110683i | ||||
\(893\) | −11.2599 | + | 15.4980i | −0.376800 | + | 0.518620i | ||||
\(894\) | 1.49021 | − | 3.16687i | 0.0498402 | − | 0.105916i | ||||
\(895\) | −41.5486 | + | 26.6372i | −1.38882 | + | 0.890383i | ||||
\(896\) | −3.44335 | − | 1.89300i | −0.115034 | − | 0.0632406i | ||||
\(897\) | 2.18414 | + | 17.2892i | 0.0729262 | + | 0.577270i | ||||
\(898\) | −0.0936931 | − | 0.236642i | −0.00312658 | − | 0.00789684i | ||||
\(899\) | −25.3901 | + | 18.4470i | −0.846806 | + | 0.615241i | ||||
\(900\) | 4.07203 | + | 2.90148i | 0.135734 | + | 0.0967161i | ||||
\(901\) | 42.3662 | + | 30.7809i | 1.41142 | + | 1.02546i | ||||
\(902\) | −3.54489 | + | 13.8064i | −0.118032 | + | 0.459704i | ||||
\(903\) | 26.6889 | + | 28.4208i | 0.888152 | + | 0.945786i | ||||
\(904\) | 8.43446 | − | 7.92049i | 0.280526 | − | 0.263431i | ||||
\(905\) | 0.0723651 | + | 15.6878i | 0.00240550 | + | 0.521480i | ||||
\(906\) | −6.04785 | − | 0.764022i | −0.200926 | − | 0.0253829i | ||||
\(907\) | 20.2542 | − | 6.58100i | 0.672531 | − | 0.218518i | 0.0472083 | − | 0.998885i | \(-0.484968\pi\) |
0.625322 | + | 0.780367i | \(0.284968\pi\) | |||||||
\(908\) | −1.84328 | − | 3.35291i | −0.0611713 | − | 0.111270i | ||||
\(909\) | 0.411912 | − | 6.54716i | 0.0136623 | − | 0.217156i | ||||
\(910\) | 31.8257 | − | 30.1638i | 1.05501 | − | 0.999920i | ||||
\(911\) | 5.39891 | − | 8.50732i | 0.178874 | − | 0.281860i | −0.743046 | − | 0.669240i | \(-0.766620\pi\) |
0.921920 | + | 0.387380i | \(0.126620\pi\) | |||||||
\(912\) | −0.595187 | − | 2.31810i | −0.0197086 | − | 0.0767600i | ||||
\(913\) | −0.751959 | + | 1.89923i | −0.0248862 | + | 0.0628554i | ||||
\(914\) | −25.3939 | − | 6.52006i | −0.839957 | − | 0.215664i | ||||
\(915\) | 9.39946 | − | 0.0433581i | 0.310737 | − | 0.00143338i | ||||
\(916\) | 27.2739 | + | 10.7985i | 0.901155 | + | 0.356792i | ||||
\(917\) | 58.9173 | + | 27.7244i | 1.94562 | + | 0.915540i | ||||
\(918\) | −5.06697 | − | 1.64636i | −0.167235 | − | 0.0543379i | ||||
\(919\) | 5.52354 | + | 28.9554i | 0.182205 | + | 0.955151i | 0.949479 | + | 0.313831i | \(0.101613\pi\) |
−0.767274 | + | 0.641319i | \(0.778387\pi\) | |||||||
\(920\) | −1.90691 | + | 7.57173i | −0.0628688 | + | 0.249633i | ||||
\(921\) | 6.51639 | + | 13.8480i | 0.214722 | + | 0.456308i | ||||
\(922\) | −18.0494 | − | 3.44311i | −0.594426 | − | 0.113393i | ||||
\(923\) | 5.23097 | − | 4.32744i | 0.172179 | − | 0.142439i | ||||
\(924\) | −2.28804 | + | 7.04187i | −0.0752710 | + | 0.231660i | ||||
\(925\) | −50.4140 | + | 10.0999i | −1.65760 | + | 0.332081i | ||||
\(926\) | −8.93820 | − | 27.5090i | −0.293728 | − | 0.904001i | ||||
\(927\) | −2.98168 | − | 1.89223i | −0.0979311 | − | 0.0621490i | ||||
\(928\) | −1.90731 | + | 3.46939i | −0.0626106 | + | 0.113888i | ||||
\(929\) | 3.18520 | − | 16.6974i | 0.104503 | − | 0.547823i | −0.891073 | − | 0.453860i | \(-0.850047\pi\) |
0.995576 | − | 0.0939629i | \(-0.0299535\pi\) | |||||||
\(930\) | 16.0730 | + | 7.47302i | 0.527055 | + | 0.245050i | ||||
\(931\) | 14.7248 | + | 13.8275i | 0.482587 | + | 0.453180i | ||||
\(932\) | 21.4281i | 0.701901i | ||||||||
\(933\) | 21.0433 | − | 22.4088i | 0.688927 | − | 0.733633i | ||||
\(934\) | 18.9919 | + | 29.9265i | 0.621435 | + | 0.979225i | ||||
\(935\) | −14.3887 | − | 17.2305i | −0.470562 | − | 0.563499i | ||||
\(936\) | 4.64011 | − | 1.83715i | 0.151667 | − | 0.0600491i | ||||
\(937\) | 19.5145 | + | 1.22775i | 0.637511 | + | 0.0401088i | 0.378258 | − | 0.925700i | \(-0.376523\pi\) |
0.259254 | + | 0.965809i | \(0.416523\pi\) | |||||||
\(938\) | 8.91240 | + | 0.560720i | 0.291000 | + | 0.0183082i | ||||
\(939\) | 17.5740 | − | 6.95803i | 0.573505 | − | 0.227067i | ||||
\(940\) | −11.4722 | − | 13.7379i | −0.374181 | − | 0.448082i | ||||
\(941\) | −18.9356 | − | 29.8377i | −0.617283 | − | 0.972682i | −0.998831 | − | 0.0483334i | \(-0.984609\pi\) |
0.381548 | − | 0.924349i | \(-0.375391\pi\) | |||||||
\(942\) | −10.6037 | + | 11.2917i | −0.345486 | + | 0.367905i | ||||
\(943\) | − | 26.4151i | − | 0.860193i | ||||||
\(944\) | 7.20677 | + | 6.76760i | 0.234560 | + | 0.220267i | ||||
\(945\) | −7.96732 | − | 3.70434i | −0.259177 | − | 0.120502i | ||||
\(946\) | −3.50337 | + | 18.3653i | −0.113904 | + | 0.597108i | ||||
\(947\) | 0.251789 | − | 0.458002i | 0.00818203 | − | 0.0148831i | −0.872184 | − | 0.489178i | \(-0.837297\pi\) |
0.880366 | + | 0.474295i | \(0.157297\pi\) | |||||||
\(948\) | −14.2284 | − | 9.02964i | −0.462118 | − | 0.293269i | ||||
\(949\) | −16.9429 | − | 52.1448i | −0.549988 | − | 1.69269i | ||||
\(950\) | 10.8741 | + | 4.99496i | 0.352803 | + | 0.162058i | ||||
\(951\) | 3.44192 | − | 10.5931i | 0.111612 | − | 0.343506i | ||||
\(952\) | −16.1305 | + | 13.3443i | −0.522791 | + | 0.432490i | ||||
\(953\) | −28.3196 | − | 5.40226i | −0.917363 | − | 0.174996i | −0.292984 | − | 0.956117i | \(-0.594648\pi\) |
−0.624380 | + | 0.781121i | \(0.714648\pi\) | |||||||
\(954\) | 4.18509 | + | 8.89377i | 0.135497 | + | 0.287946i | ||||
\(955\) | 8.68635 | − | 34.4908i | 0.281084 | − | 1.11610i | ||||
\(956\) | −0.798883 | − | 4.18789i | −0.0258377 | − | 0.135446i | ||||
\(957\) | 7.09512 | + | 2.30534i | 0.229353 | + | 0.0745212i | ||||
\(958\) | 20.1167 | + | 9.46618i | 0.649940 | + | 0.305838i | ||||
\(959\) | −11.9217 | − | 4.72012i | −0.384970 | − | 0.152420i | ||||
\(960\) | 2.23604 | − | 0.0103145i | 0.0721680 | − | 0.000332899i | ||||
\(961\) | 30.8373 | + | 7.91766i | 0.994750 | + | 0.255408i | ||||
\(962\) | −18.8917 | + | 47.7149i | −0.609091 | + | 1.53839i | ||||
\(963\) | 1.88354 | + | 7.33590i | 0.0606962 | + | 0.236396i | ||||
\(964\) | 3.66528 | − | 5.77556i | 0.118051 | − | 0.186018i | ||||
\(965\) | 15.2969 | − | 14.4981i | 0.492424 | − | 0.466710i | ||||
\(966\) | 0.861554 | − | 13.6940i | 0.0277201 | − | 0.440598i | ||||
\(967\) | 17.6781 | + | 32.1563i | 0.568488 | + | 1.03408i | 0.991764 | + | 0.128076i | \(0.0408801\pi\) |
−0.423276 | + | 0.906001i | \(0.639120\pi\) | |||||||
\(968\) | 7.08471 | − | 2.30196i | 0.227711 | − | 0.0739878i | ||||
\(969\) | −12.6503 | − | 1.59810i | −0.406385 | − | 0.0513383i | ||||
\(970\) | −0.0630519 | − | 13.6688i | −0.00202447 | − | 0.438879i | ||||
\(971\) | −32.4069 | + | 30.4321i | −1.03999 | + | 0.976612i | −0.999745 | − | 0.0225776i | \(-0.992813\pi\) |
−0.0402415 | + | 0.999190i | \(0.512813\pi\) | |||||||
\(972\) | −0.684547 | − | 0.728969i | −0.0219569 | − | 0.0233817i | ||||
\(973\) | 20.0645 | − | 78.1461i | 0.643239 | − | 2.50525i | ||||
\(974\) | 1.94071 | + | 1.41001i | 0.0621844 | + | 0.0451796i | ||||
\(975\) | −7.49158 | + | 23.8017i | −0.239923 | + | 0.762263i | ||||
\(976\) | 3.40079 | − | 2.47082i | 0.108857 | − | 0.0790891i | ||||
\(977\) | −4.14126 | − | 10.4596i | −0.132491 | − | 0.334633i | 0.848353 | − | 0.529432i | \(-0.177595\pi\) |
−0.980843 | + | 0.194798i | \(0.937595\pi\) | |||||||
\(978\) | 1.40023 | + | 11.0840i | 0.0447745 | + | 0.354427i | ||||
\(979\) | 15.3432 | + | 8.43500i | 0.490371 | + | 0.269584i | ||||
\(980\) | −15.8878 | + | 10.1858i | −0.507518 | + | 0.325374i | ||||
\(981\) | −0.226176 | + | 0.480648i | −0.00722123 | + | 0.0153459i | ||||
\(982\) | −22.3381 | + | 30.7457i | −0.712837 | + | 0.981136i | ||||
\(983\) | 2.63733 | − | 20.8766i | 0.0841179 | − | 0.665861i | −0.892526 | − | 0.450996i | \(-0.851069\pi\) |
0.976644 | − | 0.214865i | \(-0.0689312\pi\) | |||||||
\(984\) | −7.32697 | + | 1.88125i | −0.233575 | + | 0.0599719i | ||||
\(985\) | −6.52481 | + | 1.70741i | −0.207898 | + | 0.0544025i | ||||
\(986\) | 13.4452 | + | 16.2524i | 0.428182 | + | 0.517583i | ||||
\(987\) | 24.2341 | + | 20.0482i | 0.771379 | + | 0.638141i | ||||
\(988\) | 10.0845 | − | 6.39984i | 0.320832 | − | 0.203606i | ||||
\(989\) | −2.17551 | − | 34.5787i | −0.0691772 | − | 1.09954i | ||||
\(990\) | −0.808612 | − | 4.13517i | −0.0256994 | − | 0.131424i | ||||
\(991\) | −12.6554 | + | 15.2977i | −0.402010 | + | 0.485947i | −0.932206 | − | 0.361928i | \(-0.882119\pi\) |
0.530195 | + | 0.847875i | \(0.322119\pi\) | |||||||
\(992\) | 7.78660 | − | 1.48537i | 0.247225 | − | 0.0471607i | ||||
\(993\) | −16.2701 | − | 22.3939i | −0.516316 | − | 0.710648i | ||||
\(994\) | −4.68418 | + | 2.57515i | −0.148573 | + | 0.0816788i | ||||
\(995\) | 12.3579 | − | 22.7267i | 0.391773 | − | 0.720485i | ||||
\(996\) | −1.07549 | + | 0.135865i | −0.0340781 | + | 0.00430506i | ||||
\(997\) | 34.8821 | − | 16.4143i | 1.10473 | − | 0.519845i | 0.215127 | − | 0.976586i | \(-0.430984\pi\) |
0.889599 | + | 0.456741i | \(0.150984\pi\) | |||||||
\(998\) | −25.6240 | + | 1.61213i | −0.811114 | + | 0.0510310i | ||||
\(999\) | 10.2831 | 0.325344 |
(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.b.469.13 | yes | 280 | |
125.4 | even | 50 | inner | 750.2.o.b.379.13 | ✓ | 280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
750.2.o.b.379.13 | ✓ | 280 | 125.4 | even | 50 | inner | |
750.2.o.b.469.13 | yes | 280 | 1.1 | even | 1 | trivial |