Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [354,2,Mod(7,354)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(354, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("354.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.e (of order \(29\), degree \(28\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.82670423155\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 253.2 | ||
Character | \(\chi\) | \(=\) | 354.253 |
Dual form | 354.2.e.b.7.2 |
$q$-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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{20}{29}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.561187 | − | 0.827689i | 0.396819 | − | 0.585265i | ||||
\(3\) | −0.0541389 | − | 0.998533i | −0.0312571 | − | 0.576504i | ||||
\(4\) | −0.370138 | − | 0.928977i | −0.185069 | − | 0.464488i | ||||
\(5\) | 2.80275 | + | 1.29669i | 1.25343 | + | 0.579898i | 0.930419 | − | 0.366497i | \(-0.119443\pi\) |
0.323011 | + | 0.946395i | \(0.395305\pi\) | |||||||
\(6\) | −0.856857 | − | 0.515554i | −0.349810 | − | 0.210474i | ||||
\(7\) | −0.846851 | − | 3.05008i | −0.320080 | − | 1.15282i | −0.932166 | − | 0.362032i | \(-0.882083\pi\) |
0.612086 | − | 0.790791i | \(-0.290331\pi\) | |||||||
\(8\) | −0.976621 | − | 0.214970i | −0.345288 | − | 0.0760035i | ||||
\(9\) | −0.994138 | + | 0.108119i | −0.331379 | + | 0.0360397i | ||||
\(10\) | 2.64613 | − | 1.59212i | 0.836779 | − | 0.503473i | ||||
\(11\) | −0.0868341 | − | 0.0822536i | −0.0261815 | − | 0.0248004i | 0.674497 | − | 0.738278i | \(-0.264361\pi\) |
−0.700678 | + | 0.713477i | \(0.747119\pi\) | |||||||
\(12\) | −0.907575 | + | 0.419889i | −0.261994 | + | 0.121212i | ||||
\(13\) | 3.36600 | + | 0.366075i | 0.933561 | + | 0.101531i | 0.562241 | − | 0.826974i | \(-0.309939\pi\) |
0.371321 | + | 0.928505i | \(0.378905\pi\) | |||||||
\(14\) | −2.99976 | − | 1.01074i | −0.801720 | − | 0.270131i | ||||
\(15\) | 1.14305 | − | 2.86885i | 0.295135 | − | 0.740733i | ||||
\(16\) | −0.725995 | + | 0.687699i | −0.181499 | + | 0.171925i | ||||
\(17\) | 0.194991 | − | 0.702295i | 0.0472923 | − | 0.170332i | −0.936133 | − | 0.351647i | \(-0.885622\pi\) |
0.983425 | + | 0.181316i | \(0.0580355\pi\) | |||||||
\(18\) | −0.468408 | + | 0.883512i | −0.110405 | + | 0.208246i | ||||
\(19\) | −1.84943 | − | 1.40590i | −0.424289 | − | 0.322536i | 0.371146 | − | 0.928574i | \(-0.378965\pi\) |
−0.795436 | + | 0.606038i | \(0.792758\pi\) | |||||||
\(20\) | 0.167191 | − | 3.08365i | 0.0373850 | − | 0.689525i | ||||
\(21\) | −2.99976 | + | 1.01074i | −0.654602 | + | 0.220561i | ||||
\(22\) | −0.116811 | + | 0.0257120i | −0.0249041 | + | 0.00548181i | ||||
\(23\) | −0.467812 | − | 0.882387i | −0.0975456 | − | 0.183990i | 0.829937 | − | 0.557858i | \(-0.188376\pi\) |
−0.927482 | + | 0.373867i | \(0.878032\pi\) | |||||||
\(24\) | −0.161782 | + | 0.986827i | −0.0330236 | + | 0.201435i | ||||
\(25\) | 2.93709 | + | 3.45781i | 0.587418 | + | 0.691562i | ||||
\(26\) | 2.19195 | − | 2.58057i | 0.429878 | − | 0.506091i | ||||
\(27\) | 0.161782 | + | 0.986827i | 0.0311350 | + | 0.189915i | ||||
\(28\) | −2.52000 | + | 1.91566i | −0.476236 | + | 0.362025i | ||||
\(29\) | 2.24514 | + | 3.31133i | 0.416912 | + | 0.614899i | 0.976924 | − | 0.213585i | \(-0.0685141\pi\) |
−0.560013 | + | 0.828484i | \(0.689204\pi\) | |||||||
\(30\) | −1.73305 | − | 2.55605i | −0.316409 | − | 0.466669i | ||||
\(31\) | −2.92940 | + | 2.22687i | −0.526136 | + | 0.399959i | −0.834246 | − | 0.551392i | \(-0.814097\pi\) |
0.308110 | + | 0.951351i | \(0.400304\pi\) | |||||||
\(32\) | 0.161782 | + | 0.986827i | 0.0285993 | + | 0.174448i | ||||
\(33\) | −0.0774319 | + | 0.0911599i | −0.0134792 | + | 0.0158689i | ||||
\(34\) | −0.471855 | − | 0.555511i | −0.0809225 | − | 0.0952693i | ||||
\(35\) | 1.58150 | − | 9.64674i | 0.267323 | − | 1.63060i | ||||
\(36\) | 0.468408 | + | 0.883512i | 0.0780681 | + | 0.147252i | ||||
\(37\) | −3.49596 | + | 0.769519i | −0.574732 | + | 0.126508i | −0.492820 | − | 0.870131i | \(-0.664034\pi\) |
−0.0819123 | + | 0.996640i | \(0.526103\pi\) | |||||||
\(38\) | −2.20153 | + | 0.741781i | −0.357135 | + | 0.120333i | ||||
\(39\) | 0.183306 | − | 3.38089i | 0.0293525 | − | 0.541375i | ||||
\(40\) | −2.45848 | − | 1.86889i | −0.388719 | − | 0.295497i | ||||
\(41\) | 0.792827 | − | 1.49543i | 0.123819 | − | 0.233547i | −0.813852 | − | 0.581073i | \(-0.802633\pi\) |
0.937670 | + | 0.347526i | \(0.112978\pi\) | |||||||
\(42\) | −0.846851 | + | 3.05008i | −0.130672 | + | 0.470638i | ||||
\(43\) | −8.88807 | + | 8.41923i | −1.35542 | + | 1.28392i | −0.431096 | + | 0.902306i | \(0.641873\pi\) |
−0.924322 | + | 0.381614i | \(0.875368\pi\) | |||||||
\(44\) | −0.0442711 | + | 0.111112i | −0.00667412 | + | 0.0167508i | ||||
\(45\) | −2.92652 | − | 0.986060i | −0.436260 | − | 0.146993i | ||||
\(46\) | −0.992873 | − | 0.107981i | −0.146391 | − | 0.0159210i | ||||
\(47\) | 9.30161 | − | 4.30338i | 1.35678 | − | 0.627713i | 0.399461 | − | 0.916750i | \(-0.369197\pi\) |
0.957318 | + | 0.289037i | \(0.0933352\pi\) | |||||||
\(48\) | 0.725995 | + | 0.687699i | 0.104788 | + | 0.0992609i | ||||
\(49\) | −2.58785 | + | 1.55706i | −0.369693 | + | 0.222437i | ||||
\(50\) | 4.51025 | − | 0.490519i | 0.637845 | − | 0.0693699i | ||||
\(51\) | −0.711821 | − | 0.156684i | −0.0996749 | − | 0.0219401i | ||||
\(52\) | −0.905811 | − | 3.26244i | −0.125613 | − | 0.452419i | ||||
\(53\) | 9.53747 | + | 5.73850i | 1.31007 | + | 0.788244i | 0.987397 | − | 0.158266i | \(-0.0505903\pi\) |
0.322675 | + | 0.946510i | \(0.395418\pi\) | |||||||
\(54\) | 0.907575 | + | 0.419889i | 0.123505 | + | 0.0571397i | ||||
\(55\) | −0.136717 | − | 0.343134i | −0.0184349 | − | 0.0462682i | ||||
\(56\) | 0.171375 | + | 3.16082i | 0.0229009 | + | 0.422383i | ||||
\(57\) | −1.30371 | + | 1.92284i | −0.172681 | + | 0.254686i | ||||
\(58\) | 4.00069 | 0.525317 | ||||||||
\(59\) | −6.73471 | + | 3.69373i | −0.876785 | + | 0.480883i | ||||
\(60\) | −3.08818 | −0.398682 | ||||||||
\(61\) | −6.40784 | + | 9.45086i | −0.820440 | + | 1.21006i | 0.154588 | + | 0.987979i | \(0.450595\pi\) |
−0.975028 | + | 0.222080i | \(0.928715\pi\) | |||||||
\(62\) | 0.199216 | + | 3.67433i | 0.0253005 | + | 0.466640i | ||||
\(63\) | 1.17166 | + | 2.94064i | 0.147615 | + | 0.370486i | ||||
\(64\) | 0.907575 | + | 0.419889i | 0.113447 | + | 0.0524861i | ||||
\(65\) | 8.95939 | + | 5.39069i | 1.11128 | + | 0.668633i | ||||
\(66\) | 0.0319982 | + | 0.115247i | 0.00393871 | + | 0.0141860i | ||||
\(67\) | 12.5032 | + | 2.75216i | 1.52751 | + | 0.336230i | 0.897731 | − | 0.440545i | \(-0.145215\pi\) |
0.629778 | + | 0.776775i | \(0.283146\pi\) | |||||||
\(68\) | −0.724589 | + | 0.0788038i | −0.0878693 | + | 0.00955637i | ||||
\(69\) | −0.855766 | + | 0.514898i | −0.103022 | + | 0.0619864i | ||||
\(70\) | −7.09698 | − | 6.72262i | −0.848251 | − | 0.803506i | ||||
\(71\) | 9.16754 | − | 4.24136i | 1.08799 | − | 0.503356i | 0.207891 | − | 0.978152i | \(-0.433340\pi\) |
0.880096 | + | 0.474796i | \(0.157478\pi\) | |||||||
\(72\) | 0.994138 | + | 0.108119i | 0.117160 | + | 0.0127419i | ||||
\(73\) | 9.07193 | + | 3.05669i | 1.06179 | + | 0.357759i | 0.795386 | − | 0.606103i | \(-0.207268\pi\) |
0.266403 | + | 0.963862i | \(0.414165\pi\) | |||||||
\(74\) | −1.32496 | + | 3.32541i | −0.154024 | + | 0.386571i | ||||
\(75\) | 3.29373 | − | 3.11998i | 0.380327 | − | 0.360265i | ||||
\(76\) | −0.621505 | + | 2.23846i | −0.0712915 | + | 0.256769i | ||||
\(77\) | −0.177345 | + | 0.334508i | −0.0202103 | + | 0.0381207i | ||||
\(78\) | −2.69545 | − | 2.04903i | −0.305200 | − | 0.232007i | ||||
\(79\) | −0.520186 | + | 9.59426i | −0.0585255 | + | 1.07944i | 0.810840 | + | 0.585268i | \(0.199011\pi\) |
−0.869365 | + | 0.494170i | \(0.835472\pi\) | |||||||
\(80\) | −2.92652 | + | 0.986060i | −0.327195 | + | 0.110245i | ||||
\(81\) | 0.976621 | − | 0.214970i | 0.108513 | − | 0.0238856i | ||||
\(82\) | −0.792827 | − | 1.49543i | −0.0875531 | − | 0.165143i | ||||
\(83\) | −1.94870 | + | 11.8866i | −0.213898 | + | 1.30472i | 0.633493 | + | 0.773749i | \(0.281621\pi\) |
−0.847391 | + | 0.530970i | \(0.821828\pi\) | |||||||
\(84\) | 2.04928 | + | 2.41260i | 0.223595 | + | 0.263236i | ||||
\(85\) | 1.45717 | − | 1.71552i | 0.158053 | − | 0.186074i | ||||
\(86\) | 1.98063 | + | 12.0813i | 0.213577 | + | 1.30276i | ||||
\(87\) | 3.18493 | − | 2.42112i | 0.341460 | − | 0.259571i | ||||
\(88\) | 0.0671219 | + | 0.0989973i | 0.00715521 | + | 0.0105532i | ||||
\(89\) | −5.81504 | − | 8.57655i | −0.616393 | − | 0.909112i | 0.383503 | − | 0.923540i | \(-0.374718\pi\) |
−0.999896 | + | 0.0144276i | \(0.995407\pi\) | |||||||
\(90\) | −2.45848 | + | 1.86889i | −0.259146 | + | 0.196998i | ||||
\(91\) | −1.73395 | − | 10.5766i | −0.181767 | − | 1.10873i | ||||
\(92\) | −0.646562 | + | 0.761192i | −0.0674088 | + | 0.0793597i | ||||
\(93\) | 2.38220 | + | 2.80455i | 0.247023 | + | 0.290818i | ||||
\(94\) | 1.65808 | − | 10.1138i | 0.171018 | − | 1.04316i | ||||
\(95\) | −3.36048 | − | 6.33855i | −0.344778 | − | 0.650321i | ||||
\(96\) | 0.976621 | − | 0.214970i | 0.0996759 | − | 0.0219403i | ||||
\(97\) | −11.8292 | + | 3.98574i | −1.20108 | + | 0.404690i | −0.847541 | − | 0.530730i | \(-0.821918\pi\) |
−0.353537 | + | 0.935421i | \(0.615021\pi\) | |||||||
\(98\) | −0.163508 | + | 3.01573i | −0.0165168 | + | 0.304635i | ||||
\(99\) | 0.0952182 | + | 0.0723830i | 0.00956979 | + | 0.00727477i | ||||
\(100\) | 2.12510 | − | 4.00836i | 0.212510 | − | 0.400836i | ||||
\(101\) | 0.951898 | − | 3.42843i | 0.0947174 | − | 0.341141i | −0.900974 | − | 0.433874i | \(-0.857146\pi\) |
0.995691 | + | 0.0927325i | \(0.0295601\pi\) | |||||||
\(102\) | −0.529150 | + | 0.501238i | −0.0523937 | + | 0.0496299i | ||||
\(103\) | 3.11965 | − | 7.82974i | 0.307388 | − | 0.771487i | −0.691409 | − | 0.722463i | \(-0.743010\pi\) |
0.998798 | − | 0.0490235i | \(-0.0156109\pi\) | |||||||
\(104\) | −3.20861 | − | 1.08111i | −0.314630 | − | 0.106011i | ||||
\(105\) | −9.71821 | − | 1.05692i | −0.948400 | − | 0.103145i | ||||
\(106\) | 10.1020 | − | 4.67368i | 0.981193 | − | 0.453948i | ||||
\(107\) | −0.0417949 | − | 0.0395902i | −0.00404047 | − | 0.00382733i | 0.685677 | − | 0.727906i | \(-0.259506\pi\) |
−0.689717 | + | 0.724079i | \(0.742265\pi\) | |||||||
\(108\) | 0.856857 | − | 0.515554i | 0.0824511 | − | 0.0496092i | ||||
\(109\) | −2.48575 | + | 0.270342i | −0.238092 | + | 0.0258940i | −0.226387 | − | 0.974037i | \(-0.572691\pi\) |
−0.0117048 | + | 0.999931i | \(0.503726\pi\) | |||||||
\(110\) | −0.360732 | − | 0.0794031i | −0.0343944 | − | 0.00757079i | ||||
\(111\) | 0.957657 | + | 3.44917i | 0.0908968 | + | 0.327381i | ||||
\(112\) | 2.71235 | + | 1.63197i | 0.256293 | + | 0.154206i | ||||
\(113\) | −15.0748 | − | 6.97434i | −1.41812 | − | 0.656090i | −0.446964 | − | 0.894552i | \(-0.647495\pi\) |
−0.971152 | + | 0.238462i | \(0.923357\pi\) | |||||||
\(114\) | 0.859882 | + | 2.15814i | 0.0805353 | + | 0.202128i | ||||
\(115\) | −0.166978 | − | 3.07972i | −0.0155708 | − | 0.287186i | ||||
\(116\) | 2.24514 | − | 3.31133i | 0.208456 | − | 0.307449i | ||||
\(117\) | −3.38585 | −0.313022 | ||||||||
\(118\) | −0.722169 | + | 7.64712i | −0.0664811 | + | 0.703975i | ||||
\(119\) | −2.30719 | −0.211499 | ||||||||
\(120\) | −1.73305 | + | 2.55605i | −0.158205 | + | 0.233334i | ||||
\(121\) | −0.594753 | − | 10.9696i | −0.0540685 | − | 0.997235i | ||||
\(122\) | 4.22638 | + | 10.6074i | 0.382638 | + | 0.960349i | ||||
\(123\) | −1.53616 | − | 0.710704i | −0.138511 | − | 0.0640820i | ||||
\(124\) | 3.15300 | + | 1.89710i | 0.283148 | + | 0.170364i | ||||
\(125\) | −0.382649 | − | 1.37818i | −0.0342251 | − | 0.123268i | ||||
\(126\) | 3.09146 | + | 0.680481i | 0.275409 | + | 0.0606221i | ||||
\(127\) | −19.7057 | + | 2.14313i | −1.74860 | + | 0.190172i | −0.925763 | − | 0.378104i | \(-0.876576\pi\) |
−0.822838 | + | 0.568276i | \(0.807611\pi\) | |||||||
\(128\) | 0.856857 | − | 0.515554i | 0.0757362 | − | 0.0455690i | ||||
\(129\) | 8.88807 | + | 8.41923i | 0.782551 | + | 0.741272i | ||||
\(130\) | 9.48971 | − | 4.39041i | 0.832303 | − | 0.385064i | ||||
\(131\) | 7.16705 | + | 0.779464i | 0.626188 | + | 0.0681021i | 0.415711 | − | 0.909497i | \(-0.363533\pi\) |
0.210477 | + | 0.977599i | \(0.432498\pi\) | |||||||
\(132\) | 0.113346 | + | 0.0381907i | 0.00986549 | + | 0.00332407i | ||||
\(133\) | −2.72192 | + | 6.83152i | −0.236021 | + | 0.592368i | ||||
\(134\) | 9.29457 | − | 8.80428i | 0.802929 | − | 0.760574i | ||||
\(135\) | −0.826175 | + | 2.97561i | −0.0711058 | + | 0.256100i | ||||
\(136\) | −0.341405 | + | 0.643958i | −0.0292752 | + | 0.0552190i | ||||
\(137\) | 6.83109 | + | 5.19286i | 0.583619 | + | 0.443656i | 0.854862 | − | 0.518855i | \(-0.173642\pi\) |
−0.271243 | + | 0.962511i | \(0.587435\pi\) | |||||||
\(138\) | −0.0540700 | + | 0.997262i | −0.00460274 | + | 0.0848926i | ||||
\(139\) | −3.30722 | + | 1.11433i | −0.280514 | + | 0.0945163i | −0.456042 | − | 0.889958i | \(-0.650733\pi\) |
0.175528 | + | 0.984474i | \(0.443837\pi\) | |||||||
\(140\) | −9.54697 | + | 2.10145i | −0.806866 | + | 0.177605i | ||||
\(141\) | −4.80065 | − | 9.05499i | −0.404288 | − | 0.762567i | ||||
\(142\) | 1.63418 | − | 9.96807i | 0.137137 | − | 0.836501i | ||||
\(143\) | −0.262173 | − | 0.308654i | −0.0219240 | − | 0.0258109i | ||||
\(144\) | 0.647386 | − | 0.762162i | 0.0539489 | − | 0.0635135i | ||||
\(145\) | 1.99879 | + | 12.1921i | 0.165991 | + | 1.01250i | ||||
\(146\) | 7.62104 | − | 5.79337i | 0.630722 | − | 0.479462i | ||||
\(147\) | 1.69488 | + | 2.49975i | 0.139791 | + | 0.206176i | ||||
\(148\) | 2.00885 | + | 2.96284i | 0.165127 | + | 0.243544i | ||||
\(149\) | −10.0025 | + | 7.60367i | −0.819433 | + | 0.622917i | −0.928590 | − | 0.371108i | \(-0.878978\pi\) |
0.109157 | + | 0.994025i | \(0.465185\pi\) | |||||||
\(150\) | −0.733980 | − | 4.47708i | −0.0599292 | − | 0.365552i | ||||
\(151\) | 8.09423 | − | 9.52926i | 0.658699 | − | 0.775481i | −0.326812 | − | 0.945089i | \(-0.605975\pi\) |
0.985511 | + | 0.169609i | \(0.0542504\pi\) | |||||||
\(152\) | 1.50397 | + | 1.77061i | 0.121988 | + | 0.143615i | ||||
\(153\) | −0.117917 | + | 0.719260i | −0.00953300 | + | 0.0581487i | ||||
\(154\) | 0.177345 | + | 0.334508i | 0.0142909 | + | 0.0269554i | ||||
\(155\) | −11.0980 | + | 2.44285i | −0.891411 | + | 0.196214i | ||||
\(156\) | −3.20861 | + | 1.08111i | −0.256895 | + | 0.0865579i | ||||
\(157\) | 0.181092 | − | 3.34004i | 0.0144527 | − | 0.266564i | −0.982372 | − | 0.186937i | \(-0.940144\pi\) |
0.996825 | − | 0.0796276i | \(-0.0253731\pi\) | |||||||
\(158\) | 7.64914 | + | 5.81473i | 0.608533 | + | 0.462595i | ||||
\(159\) | 5.21374 | − | 9.83415i | 0.413476 | − | 0.779899i | ||||
\(160\) | −0.826175 | + | 2.97561i | −0.0653149 | + | 0.235243i | ||||
\(161\) | −2.29519 | + | 2.17412i | −0.180886 | + | 0.171344i | ||||
\(162\) | 0.370138 | − | 0.928977i | 0.0290808 | − | 0.0729873i | ||||
\(163\) | −1.88127 | − | 0.633873i | −0.147352 | − | 0.0496488i | 0.244659 | − | 0.969609i | \(-0.421324\pi\) |
−0.392011 | + | 0.919960i | \(0.628221\pi\) | |||||||
\(164\) | −1.68268 | − | 0.183002i | −0.131395 | − | 0.0142901i | ||||
\(165\) | −0.335229 | + | 0.155093i | −0.0260975 | + | 0.0120740i | ||||
\(166\) | 8.74478 | + | 8.28350i | 0.678727 | + | 0.642924i | ||||
\(167\) | −1.18680 | + | 0.714076i | −0.0918377 | + | 0.0552569i | −0.560732 | − | 0.827997i | \(-0.689480\pi\) |
0.468894 | + | 0.883254i | \(0.344653\pi\) | |||||||
\(168\) | 3.14691 | − | 0.342247i | 0.242789 | − | 0.0264049i | ||||
\(169\) | −1.50010 | − | 0.330197i | −0.115392 | − | 0.0253997i | ||||
\(170\) | −0.602167 | − | 2.16881i | −0.0461841 | − | 0.166340i | ||||
\(171\) | 1.99060 | + | 1.19770i | 0.152225 | + | 0.0915906i | ||||
\(172\) | 11.1111 | + | 5.14053i | 0.847212 | + | 0.391962i | ||||
\(173\) | −3.01913 | − | 7.57745i | −0.229540 | − | 0.576103i | 0.768420 | − | 0.639946i | \(-0.221043\pi\) |
−0.997960 | + | 0.0638436i | \(0.979664\pi\) | |||||||
\(174\) | −0.216593 | − | 3.99483i | −0.0164199 | − | 0.302847i | ||||
\(175\) | 8.05933 | − | 11.8866i | 0.609228 | − | 0.898544i | ||||
\(176\) | 0.119607 | 0.00901571 | ||||||||
\(177\) | 4.05293 | + | 6.52486i | 0.304637 | + | 0.490438i | ||||
\(178\) | −10.3620 | −0.776668 | ||||||||
\(179\) | 4.67880 | − | 6.90071i | 0.349710 | − | 0.515783i | −0.611632 | − | 0.791143i | \(-0.709487\pi\) |
0.961341 | + | 0.275359i | \(0.0887969\pi\) | |||||||
\(180\) | 0.167191 | + | 3.08365i | 0.0124617 | + | 0.229842i | ||||
\(181\) | −7.25966 | − | 18.2204i | −0.539606 | − | 1.35431i | −0.905774 | − | 0.423761i | \(-0.860710\pi\) |
0.366167 | − | 0.930549i | \(-0.380670\pi\) | |||||||
\(182\) | −9.72720 | − | 4.50028i | −0.721028 | − | 0.333583i | ||||
\(183\) | 9.78392 | + | 5.88679i | 0.723248 | + | 0.435164i | ||||
\(184\) | 0.267188 | + | 0.962323i | 0.0196973 | + | 0.0709434i | ||||
\(185\) | −10.7961 | − | 2.37641i | −0.793748 | − | 0.174717i | ||||
\(186\) | 3.65815 | − | 0.397848i | 0.268229 | − | 0.0291717i | ||||
\(187\) | −0.0746982 | + | 0.0449444i | −0.00546247 | + | 0.00328666i | ||||
\(188\) | −7.44062 | − | 7.04813i | −0.542663 | − | 0.514038i | ||||
\(189\) | 2.87290 | − | 1.32914i | 0.208973 | − | 0.0966810i | ||||
\(190\) | −7.13221 | − | 0.775674i | −0.517425 | − | 0.0562733i | ||||
\(191\) | −4.37678 | − | 1.47471i | −0.316693 | − | 0.106706i | 0.156466 | − | 0.987683i | \(-0.449990\pi\) |
−0.473159 | + | 0.880977i | \(0.656886\pi\) | |||||||
\(192\) | 0.370138 | − | 0.928977i | 0.0267124 | − | 0.0670431i | ||||
\(193\) | 1.55891 | − | 1.47668i | 0.112213 | − | 0.106294i | −0.629536 | − | 0.776971i | \(-0.716755\pi\) |
0.741749 | + | 0.670677i | \(0.233996\pi\) | |||||||
\(194\) | −3.33947 | + | 12.0277i | −0.239760 | + | 0.863537i | ||||
\(195\) | 4.89773 | − | 9.23810i | 0.350734 | − | 0.661554i | ||||
\(196\) | 2.40433 | + | 1.82772i | 0.171738 | + | 0.130552i | ||||
\(197\) | 0.236250 | − | 4.35737i | 0.0168321 | − | 0.310450i | −0.977978 | − | 0.208706i | \(-0.933075\pi\) |
0.994811 | − | 0.101744i | \(-0.0324423\pi\) | |||||||
\(198\) | 0.113346 | − | 0.0381907i | 0.00805514 | − | 0.00271409i | ||||
\(199\) | −21.4051 | + | 4.71162i | −1.51737 | + | 0.333998i | −0.894049 | − | 0.447970i | \(-0.852147\pi\) |
−0.623319 | + | 0.781968i | \(0.714216\pi\) | |||||||
\(200\) | −2.12510 | − | 4.00836i | −0.150267 | − | 0.283434i | ||||
\(201\) | 2.07122 | − | 12.6339i | 0.146092 | − | 0.891124i | ||||
\(202\) | −2.30348 | − | 2.71187i | −0.162072 | − | 0.190806i | ||||
\(203\) | 8.19854 | − | 9.65206i | 0.575424 | − | 0.677442i | ||||
\(204\) | 0.117917 | + | 0.719260i | 0.00825582 | + | 0.0503583i | ||||
\(205\) | 4.16121 | − | 3.16327i | 0.290632 | − | 0.220933i | ||||
\(206\) | −4.72988 | − | 6.97605i | −0.329546 | − | 0.486044i | ||||
\(207\) | 0.560473 | + | 0.826635i | 0.0389555 | + | 0.0574551i | ||||
\(208\) | −2.69545 | + | 2.04903i | −0.186896 | + | 0.142075i | ||||
\(209\) | 0.0449533 | + | 0.274203i | 0.00310948 | + | 0.0189670i | ||||
\(210\) | −6.32854 | + | 7.45053i | −0.436710 | + | 0.514135i | ||||
\(211\) | −7.22436 | − | 8.50518i | −0.497346 | − | 0.585521i | 0.455019 | − | 0.890482i | \(-0.349632\pi\) |
−0.952365 | + | 0.304961i | \(0.901357\pi\) | |||||||
\(212\) | 1.80076 | − | 10.9841i | 0.123676 | − | 0.754393i | ||||
\(213\) | −4.73146 | − | 8.92447i | −0.324194 | − | 0.611495i | ||||
\(214\) | −0.0562232 | + | 0.0123757i | −0.00384334 | + | 0.000845982i | ||||
\(215\) | −35.8282 | + | 12.0719i | −2.44346 | + | 0.823299i | ||||
\(216\) | 0.0541389 | − | 0.998533i | 0.00368369 | − | 0.0679416i | ||||
\(217\) | 9.27292 | + | 7.04909i | 0.629487 | + | 0.478524i | ||||
\(218\) | −1.17121 | + | 2.20914i | −0.0793245 | + | 0.149622i | ||||
\(219\) | 2.56106 | − | 9.22412i | 0.173061 | − | 0.623308i | ||||
\(220\) | −0.268159 | + | 0.254014i | −0.0180793 | + | 0.0171256i | ||||
\(221\) | 0.913434 | − | 2.29255i | 0.0614442 | − | 0.154213i | ||||
\(222\) | 3.39227 | + | 1.14299i | 0.227674 | + | 0.0767123i | ||||
\(223\) | −8.65617 | − | 0.941416i | −0.579660 | − | 0.0630419i | −0.186408 | − | 0.982472i | \(-0.559685\pi\) |
−0.393252 | + | 0.919431i | \(0.628650\pi\) | |||||||
\(224\) | 2.87290 | − | 1.32914i | 0.191954 | − | 0.0888072i | ||||
\(225\) | −3.29373 | − | 3.11998i | −0.219582 | − | 0.207999i | ||||
\(226\) | −14.2324 | + | 8.56332i | −0.946722 | + | 0.569624i | ||||
\(227\) | 20.2049 | − | 2.19742i | 1.34105 | − | 0.145848i | 0.590701 | − | 0.806890i | \(-0.298851\pi\) |
0.750348 | + | 0.661043i | \(0.229886\pi\) | |||||||
\(228\) | 2.26882 | + | 0.499406i | 0.150257 | + | 0.0330740i | ||||
\(229\) | 1.28396 | + | 4.62440i | 0.0848464 | + | 0.305589i | 0.993781 | − | 0.111349i | \(-0.0355171\pi\) |
−0.908935 | + | 0.416938i | \(0.863103\pi\) | |||||||
\(230\) | −2.64276 | − | 1.59010i | −0.174258 | − | 0.104848i | ||||
\(231\) | 0.343618 | + | 0.158975i | 0.0226084 | + | 0.0104598i | ||||
\(232\) | −1.48081 | − | 3.71655i | −0.0972199 | − | 0.244004i | ||||
\(233\) | 0.639427 | + | 11.7935i | 0.0418903 | + | 0.772621i | 0.941724 | + | 0.336387i | \(0.109205\pi\) |
−0.899834 | + | 0.436233i | \(0.856312\pi\) | |||||||
\(234\) | −1.90010 | + | 2.80243i | −0.124213 | + | 0.183201i | ||||
\(235\) | 31.6503 | 2.06464 | ||||||||
\(236\) | 5.92417 | + | 4.88920i | 0.385630 | + | 0.318260i | ||||
\(237\) | 9.60835 | 0.624130 | ||||||||
\(238\) | −1.29476 | + | 1.90963i | −0.0839270 | + | 0.123783i | ||||
\(239\) | −1.49506 | − | 27.5747i | −0.0967071 | − | 1.78366i | −0.497476 | − | 0.867478i | \(-0.665740\pi\) |
0.400769 | − | 0.916179i | \(-0.368743\pi\) | |||||||
\(240\) | 1.14305 | + | 2.86885i | 0.0737837 | + | 0.185183i | ||||
\(241\) | 11.5332 | + | 5.33584i | 0.742920 | + | 0.343711i | 0.754569 | − | 0.656221i | \(-0.227846\pi\) |
−0.0116489 | + | 0.999932i | \(0.503708\pi\) | |||||||
\(242\) | −9.41317 | − | 5.66372i | −0.605102 | − | 0.364078i | ||||
\(243\) | −0.267528 | − | 0.963550i | −0.0171620 | − | 0.0618118i | ||||
\(244\) | 11.1514 | + | 2.45461i | 0.713896 | + | 0.157140i | ||||
\(245\) | −9.27212 | + | 1.00840i | −0.592374 | + | 0.0644246i | ||||
\(246\) | −1.45032 | + | 0.872626i | −0.0924687 | + | 0.0556366i | ||||
\(247\) | −5.71053 | − | 5.40931i | −0.363353 | − | 0.344186i | ||||
\(248\) | 3.33963 | − | 1.54508i | 0.212067 | − | 0.0981125i | ||||
\(249\) | 11.9746 | + | 1.30232i | 0.758861 | + | 0.0825311i | ||||
\(250\) | −1.35544 | − | 0.456700i | −0.0857254 | − | 0.0288843i | ||||
\(251\) | 7.58146 | − | 19.0280i | 0.478538 | − | 1.20104i | −0.469515 | − | 0.882925i | \(-0.655571\pi\) |
0.948052 | − | 0.318114i | \(-0.103050\pi\) | |||||||
\(252\) | 2.29811 | − | 2.17689i | 0.144767 | − | 0.137131i | ||||
\(253\) | −0.0319575 | + | 0.115101i | −0.00200915 | + | 0.00723631i | ||||
\(254\) | −9.28476 | + | 17.5129i | −0.582578 | + | 1.09886i | ||||
\(255\) | −1.79189 | − | 1.36216i | −0.112213 | − | 0.0853017i | ||||
\(256\) | 0.0541389 | − | 0.998533i | 0.00338368 | − | 0.0624083i | ||||
\(257\) | 13.5302 | − | 4.55886i | 0.843992 | − | 0.284374i | 0.136100 | − | 0.990695i | \(-0.456543\pi\) |
0.707892 | + | 0.706321i | \(0.249646\pi\) | |||||||
\(258\) | 11.9564 | − | 2.63180i | 0.744371 | − | 0.163848i | ||||
\(259\) | 5.30765 | + | 10.0113i | 0.329801 | + | 0.622072i | ||||
\(260\) | 1.69161 | − | 10.3184i | 0.104909 | − | 0.639918i | ||||
\(261\) | −2.59000 | − | 3.04918i | −0.160317 | − | 0.188739i | ||||
\(262\) | 4.66721 | − | 5.49467i | 0.288341 | − | 0.339462i | ||||
\(263\) | 5.00044 | + | 30.5013i | 0.308340 | + | 1.88079i | 0.453305 | + | 0.891355i | \(0.350245\pi\) |
−0.144965 | + | 0.989437i | \(0.546307\pi\) | |||||||
\(264\) | 0.0952182 | − | 0.0723830i | 0.00586028 | − | 0.00445487i | ||||
\(265\) | 19.2901 | + | 28.4508i | 1.18498 | + | 1.74772i | ||||
\(266\) | 4.12686 | + | 6.08667i | 0.253034 | + | 0.373197i | ||||
\(267\) | −8.24915 | + | 6.27084i | −0.504840 | + | 0.383769i | ||||
\(268\) | −2.07122 | − | 12.6339i | −0.126520 | − | 0.771736i | ||||
\(269\) | −19.5874 | + | 23.0600i | −1.19426 | + | 1.40599i | −0.302707 | + | 0.953084i | \(0.597890\pi\) |
−0.891556 | + | 0.452911i | \(0.850386\pi\) | |||||||
\(270\) | 1.99924 | + | 2.35369i | 0.121670 | + | 0.143241i | ||||
\(271\) | −0.136034 | + | 0.829768i | −0.00826345 | + | 0.0504048i | −0.990636 | − | 0.136527i | \(-0.956406\pi\) |
0.982373 | + | 0.186932i | \(0.0598543\pi\) | |||||||
\(272\) | 0.341405 | + | 0.643958i | 0.0207007 | + | 0.0390457i | ||||
\(273\) | −10.4672 | + | 2.30401i | −0.633505 | + | 0.139445i | ||||
\(274\) | 8.13159 | − | 2.73985i | 0.491247 | − | 0.165520i | ||||
\(275\) | 0.0293778 | − | 0.541842i | 0.00177155 | − | 0.0326743i | ||||
\(276\) | 0.795080 | + | 0.604404i | 0.0478582 | + | 0.0363808i | ||||
\(277\) | 13.2277 | − | 24.9501i | 0.794777 | − | 1.49911i | −0.0703316 | − | 0.997524i | \(-0.522406\pi\) |
0.865109 | − | 0.501585i | \(-0.167249\pi\) | |||||||
\(278\) | −0.933648 | + | 3.36270i | −0.0559965 | + | 0.201681i | ||||
\(279\) | 2.67146 | − | 2.53055i | 0.159936 | − | 0.151500i | ||||
\(280\) | −3.61829 | + | 9.08123i | −0.216234 | + | 0.542707i | ||||
\(281\) | −8.99342 | − | 3.03023i | −0.536502 | − | 0.180769i | 0.0379909 | − | 0.999278i | \(-0.487904\pi\) |
−0.574493 | + | 0.818509i | \(0.694801\pi\) | |||||||
\(282\) | −10.1888 | − | 1.10810i | −0.606733 | − | 0.0659862i | ||||
\(283\) | 16.7725 | − | 7.75977i | 0.997020 | − | 0.461270i | 0.147633 | − | 0.989042i | \(-0.452834\pi\) |
0.849386 | + | 0.527772i | \(0.176972\pi\) | |||||||
\(284\) | −7.33338 | − | 6.94654i | −0.435156 | − | 0.412202i | ||||
\(285\) | −6.14732 | + | 3.69872i | −0.364136 | + | 0.219093i | ||||
\(286\) | −0.402597 | + | 0.0437851i | −0.0238061 | + | 0.00258907i | ||||
\(287\) | −5.23260 | − | 1.15178i | −0.308870 | − | 0.0679875i | ||||
\(288\) | −0.267528 | − | 0.963550i | −0.0157643 | − | 0.0567777i | ||||
\(289\) | 14.1114 | + | 8.49053i | 0.830081 | + | 0.499443i | ||||
\(290\) | 11.2130 | + | 5.18767i | 0.658448 | + | 0.304630i | ||||
\(291\) | 4.62031 | + | 11.5961i | 0.270848 | + | 0.679776i | ||||
\(292\) | −0.518275 | − | 9.55901i | −0.0303297 | − | 0.559399i | ||||
\(293\) | −4.44406 | + | 6.55449i | −0.259625 | + | 0.382918i | −0.935053 | − | 0.354508i | \(-0.884648\pi\) |
0.675428 | + | 0.737426i | \(0.263959\pi\) | |||||||
\(294\) | 3.02016 | 0.176139 | ||||||||
\(295\) | −23.6654 | + | 1.61978i | −1.37785 | + | 0.0943074i | ||||
\(296\) | 3.57965 | 0.208063 | ||||||||
\(297\) | 0.0671219 | − | 0.0989973i | 0.00389481 | − | 0.00574441i | ||||
\(298\) | 0.680224 | + | 12.5460i | 0.0394043 | + | 0.726770i | ||||
\(299\) | −1.25164 | − | 3.14137i | −0.0723841 | − | 0.181670i | ||||
\(300\) | −4.11753 | − | 1.90497i | −0.237726 | − | 0.109984i | ||||
\(301\) | 33.2062 | + | 19.9795i | 1.91397 | + | 1.15160i | ||||
\(302\) | −3.34489 | − | 12.0472i | −0.192477 | − | 0.693239i | ||||
\(303\) | −3.47493 | − | 0.764891i | −0.199630 | − | 0.0439418i | ||||
\(304\) | 2.30952 | − | 0.251175i | 0.132460 | − | 0.0144059i | ||||
\(305\) | −30.2145 | + | 18.1794i | −1.73008 | + | 1.04095i | ||||
\(306\) | 0.529150 | + | 0.501238i | 0.0302495 | + | 0.0286539i | ||||
\(307\) | −4.92286 | + | 2.27756i | −0.280962 | + | 0.129987i | −0.555310 | − | 0.831644i | \(-0.687400\pi\) |
0.274347 | + | 0.961631i | \(0.411538\pi\) | |||||||
\(308\) | 0.376392 | + | 0.0409351i | 0.0214469 | + | 0.00233249i | ||||
\(309\) | −7.98715 | − | 2.69118i | −0.454373 | − | 0.153096i | ||||
\(310\) | −4.20612 | + | 10.5566i | −0.238892 | + | 0.599573i | ||||
\(311\) | 4.52236 | − | 4.28381i | 0.256440 | − | 0.242913i | −0.548669 | − | 0.836039i | \(-0.684865\pi\) |
0.805109 | + | 0.593127i | \(0.202107\pi\) | |||||||
\(312\) | −0.905811 | + | 3.26244i | −0.0512815 | + | 0.184699i | ||||
\(313\) | −14.3338 | + | 27.0365i | −0.810197 | + | 1.52819i | 0.0384671 | + | 0.999260i | \(0.487753\pi\) |
−0.848664 | + | 0.528933i | \(0.822592\pi\) | |||||||
\(314\) | −2.66289 | − | 2.02427i | −0.150275 | − | 0.114236i | ||||
\(315\) | −0.529236 | + | 9.76118i | −0.0298191 | + | 0.549980i | ||||
\(316\) | 9.10539 | − | 3.06796i | 0.512218 | − | 0.172586i | ||||
\(317\) | 0.160212 | − | 0.0352654i | 0.00899841 | − | 0.00198070i | −0.210469 | − | 0.977601i | \(-0.567499\pi\) |
0.219467 | + | 0.975620i | \(0.429568\pi\) | |||||||
\(318\) | −5.21374 | − | 9.83415i | −0.292372 | − | 0.551472i | ||||
\(319\) | 0.0774144 | − | 0.472207i | 0.00433438 | − | 0.0264385i | ||||
\(320\) | 1.99924 | + | 2.35369i | 0.111761 | + | 0.131575i | ||||
\(321\) | −0.0372694 | + | 0.0438770i | −0.00208018 | + | 0.00244897i | ||||
\(322\) | 0.511463 | + | 3.11979i | 0.0285027 | + | 0.173859i | ||||
\(323\) | −1.34798 | + | 1.02471i | −0.0750037 | + | 0.0570163i | ||||
\(324\) | −0.561187 | − | 0.827689i | −0.0311771 | − | 0.0459827i | ||||
\(325\) | 8.62044 | + | 12.7142i | 0.478176 | + | 0.705257i | ||||
\(326\) | −1.58039 | + | 1.20138i | −0.0875299 | + | 0.0665385i | ||||
\(327\) | 0.404521 | + | 2.46747i | 0.0223701 | + | 0.136451i | ||||
\(328\) | −1.09576 | + | 1.29003i | −0.0605035 | + | 0.0712302i | ||||
\(329\) | −21.0028 | − | 24.7264i | −1.15792 | − | 1.36321i | ||||
\(330\) | −0.0597570 | + | 0.364502i | −0.00328952 | + | 0.0200652i | ||||
\(331\) | −11.5131 | − | 21.7161i | −0.632820 | − | 1.19362i | −0.967876 | − | 0.251427i | \(-0.919100\pi\) |
0.335057 | − | 0.942198i | \(-0.391245\pi\) | |||||||
\(332\) | 11.7636 | − | 2.58937i | 0.645613 | − | 0.142110i | ||||
\(333\) | 3.39227 | − | 1.14299i | 0.185895 | − | 0.0626353i | ||||
\(334\) | −0.0749860 | + | 1.38303i | −0.00410305 | + | 0.0756763i | ||||
\(335\) | 31.4747 | + | 23.9264i | 1.71965 | + | 1.30724i | ||||
\(336\) | 1.48273 | − | 2.79673i | 0.0808896 | − | 0.152574i | ||||
\(337\) | 1.55025 | − | 5.58351i | 0.0844477 | − | 0.304153i | −0.909249 | − | 0.416252i | \(-0.863343\pi\) |
0.993697 | + | 0.112099i | \(0.0357573\pi\) | |||||||
\(338\) | −1.11514 | + | 1.05631i | −0.0606554 | + | 0.0574558i | ||||
\(339\) | −6.14798 | + | 15.4303i | −0.333912 | + | 0.838056i | ||||
\(340\) | −2.13303 | − | 0.718701i | −0.115680 | − | 0.0389771i | ||||
\(341\) | 0.437541 | + | 0.0475854i | 0.0236942 | + | 0.00257689i | ||||
\(342\) | 2.10842 | − | 0.975460i | 0.114010 | − | 0.0527468i | ||||
\(343\) | −9.14612 | − | 8.66366i | −0.493844 | − | 0.467794i | ||||
\(344\) | 10.4902 | − | 6.31172i | 0.565591 | − | 0.340305i | ||||
\(345\) | −3.06617 | + | 0.333466i | −0.165077 | + | 0.0179532i | ||||
\(346\) | −7.96607 | − | 1.75346i | −0.428258 | − | 0.0942668i | ||||
\(347\) | 6.15271 | + | 22.1600i | 0.330295 | + | 1.18961i | 0.923193 | + | 0.384336i | \(0.125570\pi\) |
−0.592899 | + | 0.805277i | \(0.702017\pi\) | |||||||
\(348\) | −3.42802 | − | 2.06257i | −0.183761 | − | 0.110566i | ||||
\(349\) | 14.8615 | + | 6.87565i | 0.795517 | + | 0.368045i | 0.775174 | − | 0.631748i | \(-0.217662\pi\) |
0.0203429 | + | 0.999793i | \(0.493524\pi\) | |||||||
\(350\) | −5.31563 | − | 13.3412i | −0.284133 | − | 0.713119i | ||||
\(351\) | 0.183306 | + | 3.38089i | 0.00978417 | + | 0.180458i | ||||
\(352\) | 0.0671219 | − | 0.0989973i | 0.00357761 | − | 0.00527658i | ||||
\(353\) | −26.9989 | −1.43701 | −0.718503 | − | 0.695524i | \(-0.755172\pi\) | ||||
−0.718503 | + | 0.695524i | \(0.755172\pi\) | |||||||
\(354\) | 7.67500 | + | 0.307103i | 0.407922 | + | 0.0163224i | ||||
\(355\) | 31.1941 | 1.65561 | ||||||||
\(356\) | −5.81504 | + | 8.57655i | −0.308197 | + | 0.454556i | ||||
\(357\) | 0.124909 | + | 2.30380i | 0.00661086 | + | 0.121930i | ||||
\(358\) | −3.08596 | − | 7.74518i | −0.163098 | − | 0.409345i | ||||
\(359\) | −6.60833 | − | 3.05734i | −0.348774 | − | 0.161360i | 0.237678 | − | 0.971344i | \(-0.423614\pi\) |
−0.586452 | + | 0.809984i | \(0.699476\pi\) | |||||||
\(360\) | 2.64613 | + | 1.59212i | 0.139463 | + | 0.0839122i | ||||
\(361\) | −3.63920 | − | 13.1072i | −0.191537 | − | 0.689853i | ||||
\(362\) | −19.1548 | − | 4.21630i | −1.00676 | − | 0.221604i | ||||
\(363\) | −10.9213 | + | 1.18776i | −0.573219 | + | 0.0623414i | ||||
\(364\) | −9.18362 | + | 5.52560i | −0.481352 | + | 0.289620i | ||||
\(365\) | 21.4628 | + | 20.3307i | 1.12342 | + | 1.06416i | ||||
\(366\) | 10.3630 | − | 4.79445i | 0.541685 | − | 0.250610i | ||||
\(367\) | −13.0412 | − | 1.41832i | −0.680747 | − | 0.0740356i | −0.238789 | − | 0.971072i | \(-0.576750\pi\) |
−0.441958 | + | 0.897036i | \(0.645716\pi\) | |||||||
\(368\) | 0.946447 | + | 0.318895i | 0.0493370 | + | 0.0166236i | ||||
\(369\) | −0.626495 | + | 1.57238i | −0.0326140 | + | 0.0818551i | ||||
\(370\) | −8.02558 | + | 7.60224i | −0.417230 | + | 0.395221i | ||||
\(371\) | 9.42609 | − | 33.9497i | 0.489378 | − | 1.76258i | ||||
\(372\) | 1.72361 | − | 3.25108i | 0.0893652 | − | 0.168561i | ||||
\(373\) | −16.3042 | − | 12.3941i | −0.844197 | − | 0.641742i | 0.0910074 | − | 0.995850i | \(-0.470991\pi\) |
−0.935204 | + | 0.354108i | \(0.884784\pi\) | |||||||
\(374\) | −0.00471966 | + | 0.0870491i | −0.000244048 | + | 0.00450120i | ||||
\(375\) | −1.35544 | + | 0.456700i | −0.0699945 | + | 0.0235839i | ||||
\(376\) | −10.0092 | + | 2.20320i | −0.516187 | + | 0.113621i | ||||
\(377\) | 6.34495 | + | 11.9678i | 0.326781 | + | 0.616375i | ||||
\(378\) | 0.512115 | − | 3.12376i | 0.0263404 | − | 0.160669i | ||||
\(379\) | 4.16145 | + | 4.89924i | 0.213760 | + | 0.251657i | 0.858583 | − | 0.512674i | \(-0.171345\pi\) |
−0.644824 | + | 0.764331i | \(0.723069\pi\) | |||||||
\(380\) | −4.64452 | + | 5.46795i | −0.238259 | + | 0.280500i | ||||
\(381\) | 3.20683 | + | 19.5608i | 0.164291 | + | 1.00213i | ||||
\(382\) | −3.67679 | + | 2.79502i | −0.188121 | + | 0.143006i | ||||
\(383\) | 8.58967 | + | 12.6688i | 0.438912 | + | 0.647347i | 0.981233 | − | 0.192825i | \(-0.0617648\pi\) |
−0.542321 | + | 0.840171i | \(0.682454\pi\) | |||||||
\(384\) | −0.561187 | − | 0.827689i | −0.0286380 | − | 0.0422378i | ||||
\(385\) | −0.930808 | + | 0.707581i | −0.0474383 | + | 0.0360617i | ||||
\(386\) | −0.347391 | − | 2.11899i | −0.0176817 | − | 0.107854i | ||||
\(387\) | 7.92569 | − | 9.33084i | 0.402885 | − | 0.474313i | ||||
\(388\) | 8.08111 | + | 9.51382i | 0.410256 | + | 0.482991i | ||||
\(389\) | 4.56526 | − | 27.8468i | 0.231468 | − | 1.41189i | −0.573807 | − | 0.818990i | \(-0.694534\pi\) |
0.805275 | − | 0.592901i | \(-0.202017\pi\) | |||||||
\(390\) | −4.89773 | − | 9.23810i | −0.248006 | − | 0.467789i | ||||
\(391\) | −0.710915 | + | 0.156484i | −0.0359525 | + | 0.00791375i | ||||
\(392\) | 2.86207 | − | 0.964342i | 0.144556 | − | 0.0487066i | ||||
\(393\) | 0.390304 | − | 7.19874i | 0.0196883 | − | 0.363129i | ||||
\(394\) | −3.47397 | − | 2.64084i | −0.175016 | − | 0.133044i | ||||
\(395\) | −13.8988 | + | 26.2158i | −0.699322 | + | 1.31906i | ||||
\(396\) | 0.0319982 | − | 0.115247i | 0.00160797 | − | 0.00579139i | ||||
\(397\) | 24.2152 | − | 22.9378i | 1.21532 | − | 1.15122i | 0.231356 | − | 0.972869i | \(-0.425684\pi\) |
0.983968 | − | 0.178347i | \(-0.0570748\pi\) | |||||||
\(398\) | −8.11251 | + | 20.3609i | −0.406643 | + | 1.02060i | ||||
\(399\) | 6.96886 | + | 2.34808i | 0.348879 | + | 0.117551i | ||||
\(400\) | −4.51025 | − | 0.490519i | −0.225512 | − | 0.0245260i | ||||
\(401\) | 29.0763 | − | 13.4521i | 1.45200 | − | 0.671767i | 0.474029 | − | 0.880509i | \(-0.342799\pi\) |
0.977971 | + | 0.208743i | \(0.0669371\pi\) | |||||||
\(402\) | −9.29457 | − | 8.80428i | −0.463571 | − | 0.439118i | ||||
\(403\) | −10.6756 | + | 6.42329i | −0.531789 | + | 0.319967i | ||||
\(404\) | −3.53726 | + | 0.384701i | −0.175985 | + | 0.0191396i | ||||
\(405\) | 3.01598 | + | 0.663867i | 0.149865 | + | 0.0329878i | ||||
\(406\) | −3.38799 | − | 12.2025i | −0.168143 | − | 0.605597i | ||||
\(407\) | 0.366864 | + | 0.220735i | 0.0181848 | + | 0.0109414i | ||||
\(408\) | 0.661497 | + | 0.306041i | 0.0327490 | + | 0.0151513i | ||||
\(409\) | 12.3143 | + | 30.9065i | 0.608901 | + | 1.52823i | 0.832776 | + | 0.553610i | \(0.186750\pi\) |
−0.223875 | + | 0.974618i | \(0.571871\pi\) | |||||||
\(410\) | −0.282987 | − | 5.21938i | −0.0139757 | − | 0.257767i | ||||
\(411\) | 4.81541 | − | 7.10220i | 0.237527 | − | 0.350326i | ||||
\(412\) | −8.42835 | −0.415235 | ||||||||
\(413\) | 16.9695 | + | 17.4134i | 0.835014 | + | 0.856856i | ||||
\(414\) | 0.998727 | 0.0490848 | ||||||||
\(415\) | −20.8749 | + | 30.7882i | −1.02471 | + | 1.51133i | ||||
\(416\) | 0.183306 | + | 3.38089i | 0.00898733 | + | 0.165762i | ||||
\(417\) | 1.29175 | + | 3.24204i | 0.0632571 | + | 0.158763i | ||||
\(418\) | 0.252182 | + | 0.116672i | 0.0123346 | + | 0.00570660i | ||||
\(419\) | 12.4354 | + | 7.48216i | 0.607511 | + | 0.365527i | 0.785827 | − | 0.618446i | \(-0.212237\pi\) |
−0.178316 | + | 0.983973i | \(0.557065\pi\) | |||||||
\(420\) | 2.61523 | + | 9.41920i | 0.127610 | + | 0.459610i | ||||
\(421\) | −29.7879 | − | 6.55681i | −1.45177 | − | 0.319559i | −0.582071 | − | 0.813138i | \(-0.697758\pi\) |
−0.869701 | + | 0.493579i | \(0.835689\pi\) | |||||||
\(422\) | −11.0939 | + | 1.20653i | −0.540041 | + | 0.0587330i | ||||
\(423\) | −8.78180 | + | 5.28384i | −0.426986 | + | 0.256909i | ||||
\(424\) | −8.08088 | − | 7.65461i | −0.392442 | − | 0.371741i | ||||
\(425\) | 3.00111 | − | 1.38846i | 0.145575 | − | 0.0673502i | ||||
\(426\) | −10.0419 | − | 1.09212i | −0.486533 | − | 0.0529136i | ||||
\(427\) | 34.2524 | + | 11.5410i | 1.65759 | + | 0.558507i | ||||
\(428\) | −0.0213085 | + | 0.0534803i | −0.00102999 | + | 0.00258507i | ||||
\(429\) | −0.294007 | + | 0.278499i | −0.0141948 | + | 0.0134460i | ||||
\(430\) | −10.1145 | + | 36.4292i | −0.487766 | + | 1.75677i | ||||
\(431\) | −12.5218 | + | 23.6185i | −0.603152 | + | 1.13767i | 0.374459 | + | 0.927244i | \(0.377829\pi\) |
−0.977611 | + | 0.210422i | \(0.932516\pi\) | |||||||
\(432\) | −0.796093 | − | 0.605174i | −0.0383020 | − | 0.0291165i | ||||
\(433\) | 0.381478 | − | 7.03594i | 0.0183327 | − | 0.338126i | −0.974951 | − | 0.222420i | \(-0.928604\pi\) |
0.993284 | − | 0.115706i | \(-0.0369129\pi\) | |||||||
\(434\) | 11.0383 | − | 3.71924i | 0.529855 | − | 0.178529i | ||||
\(435\) | 12.0660 | − | 2.65593i | 0.578521 | − | 0.127342i | ||||
\(436\) | 1.17121 | + | 2.20914i | 0.0560909 | + | 0.105799i | ||||
\(437\) | −0.375363 | + | 2.28962i | −0.0179561 | + | 0.109527i | ||||
\(438\) | −6.19746 | − | 7.29622i | −0.296126 | − | 0.348627i | ||||
\(439\) | −21.9061 | + | 25.7898i | −1.04552 | + | 1.23088i | −0.0731776 | + | 0.997319i | \(0.523314\pi\) |
−0.972342 | + | 0.233562i | \(0.924962\pi\) | |||||||
\(440\) | 0.0597570 | + | 0.364502i | 0.00284880 | + | 0.0173769i | ||||
\(441\) | 2.40433 | − | 1.82772i | 0.114492 | − | 0.0870345i | ||||
\(442\) | −1.38491 | − | 2.04259i | −0.0658733 | − | 0.0971559i | ||||
\(443\) | 7.00198 | + | 10.3271i | 0.332674 | + | 0.490657i | 0.956832 | − | 0.290640i | \(-0.0938683\pi\) |
−0.624158 | + | 0.781298i | \(0.714558\pi\) | |||||||
\(444\) | 2.84973 | − | 2.16631i | 0.135242 | − | 0.102809i | ||||
\(445\) | −5.17700 | − | 31.5783i | −0.245413 | − | 1.49695i | ||||
\(446\) | −5.63693 | + | 6.63631i | −0.266916 | + | 0.314238i | ||||
\(447\) | 8.13404 | + | 9.57613i | 0.384727 | + | 0.452935i | ||||
\(448\) | 0.512115 | − | 3.12376i | 0.0241952 | − | 0.147584i | ||||
\(449\) | −8.00625 | − | 15.1014i | −0.377838 | − | 0.712679i | 0.619546 | − | 0.784960i | \(-0.287317\pi\) |
−0.997384 | + | 0.0722816i | \(0.976972\pi\) | |||||||
\(450\) | −4.43077 | + | 0.975287i | −0.208869 | + | 0.0459755i | ||||
\(451\) | −0.191849 | + | 0.0646415i | −0.00903382 | + | 0.00304385i | ||||
\(452\) | −0.899244 | + | 16.5856i | −0.0422969 | + | 0.780120i | ||||
\(453\) | −9.95350 | − | 7.56646i | −0.467656 | − | 0.355503i | ||||
\(454\) | 9.51997 | − | 17.9566i | 0.446795 | − | 0.842744i | ||||
\(455\) | 8.85477 | − | 31.8920i | 0.415118 | − | 1.49512i | ||||
\(456\) | 1.68659 | − | 1.59762i | 0.0789817 | − | 0.0748154i | ||||
\(457\) | 6.73452 | − | 16.9024i | 0.315027 | − | 0.790659i | −0.683148 | − | 0.730280i | \(-0.739390\pi\) |
0.998176 | − | 0.0603792i | \(-0.0192310\pi\) | |||||||
\(458\) | 4.54811 | + | 1.53244i | 0.212519 | + | 0.0716060i | ||||
\(459\) | 0.724589 | + | 0.0788038i | 0.0338209 | + | 0.00367825i | ||||
\(460\) | −2.79919 | + | 1.29504i | −0.130513 | + | 0.0603816i | ||||
\(461\) | 11.4618 | + | 10.8572i | 0.533831 | + | 0.505671i | 0.906450 | − | 0.422313i | \(-0.138782\pi\) |
−0.372619 | + | 0.927984i | \(0.621540\pi\) | |||||||
\(462\) | 0.324416 | − | 0.195195i | 0.0150932 | − | 0.00908127i | ||||
\(463\) | −21.9309 | + | 2.38513i | −1.01922 | + | 0.110846i | −0.602441 | − | 0.798163i | \(-0.705805\pi\) |
−0.416775 | + | 0.909010i | \(0.636840\pi\) | |||||||
\(464\) | −3.90716 | − | 0.860031i | −0.181385 | − | 0.0399259i | ||||
\(465\) | 3.04010 | + | 10.9494i | 0.140981 | + | 0.507768i | ||||
\(466\) | 10.1202 | + | 6.08914i | 0.468810 | + | 0.282074i | ||||
\(467\) | 20.2018 | + | 9.34633i | 0.934826 | + | 0.432497i | 0.827335 | − | 0.561709i | \(-0.189856\pi\) |
0.107491 | + | 0.994206i | \(0.465718\pi\) | |||||||
\(468\) | 1.25323 | + | 3.14538i | 0.0579307 | + | 0.145395i | ||||
\(469\) | −2.19403 | − | 40.4665i | −0.101311 | − | 1.86857i | ||||
\(470\) | 17.7617 | − | 26.1966i | 0.819288 | − | 1.20836i | ||||
\(471\) | −3.34495 | −0.154127 | ||||||||
\(472\) | 7.37130 | − | 2.15961i | 0.339292 | − | 0.0994042i | ||||
\(473\) | 1.46430 | 0.0673286 | ||||||||
\(474\) | 5.39208 | − | 7.95273i | 0.247667 | − | 0.365281i | ||||
\(475\) | −0.570608 | − | 10.5243i | −0.0261813 | − | 0.482886i | ||||
\(476\) | 0.853977 | + | 2.14332i | 0.0391420 | + | 0.0982390i | ||||
\(477\) | −10.1020 | − | 4.67368i | −0.462539 | − | 0.213993i | ||||
\(478\) | −23.6623 | − | 14.2371i | −1.08229 | − | 0.651190i | ||||
\(479\) | 0.366107 | + | 1.31860i | 0.0167279 | + | 0.0602483i | 0.971443 | − | 0.237273i | \(-0.0762537\pi\) |
−0.954715 | + | 0.297522i | \(0.903840\pi\) | |||||||
\(480\) | 3.01598 | + | 0.663867i | 0.137660 | + | 0.0303012i | ||||
\(481\) | −12.0491 | + | 1.31042i | −0.549392 | + | 0.0597500i | ||||
\(482\) | 10.8887 | − | 6.55152i | 0.495967 | − | 0.298413i | ||||
\(483\) | 2.29519 | + | 2.17412i | 0.104435 | + | 0.0989257i | ||||
\(484\) | −9.97035 | + | 4.61277i | −0.453198 | + | 0.209672i | ||||
\(485\) | −38.3227 | − | 4.16785i | −1.74015 | − | 0.189252i | ||||
\(486\) | −0.947653 | − | 0.319302i | −0.0429864 | − | 0.0144838i | ||||
\(487\) | −2.10928 | + | 5.29389i | −0.0955805 | + | 0.239889i | −0.968991 | − | 0.247096i | \(-0.920524\pi\) |
0.873411 | + | 0.486984i | \(0.161903\pi\) | |||||||
\(488\) | 8.28969 | − | 7.85241i | 0.375257 | − | 0.355462i | ||||
\(489\) | −0.531094 | + | 1.91283i | −0.0240169 | + | 0.0865010i | ||||
\(490\) | −4.36875 | + | 8.24034i | −0.197360 | + | 0.372261i | ||||
\(491\) | 11.3299 | + | 8.61277i | 0.511311 | + | 0.388689i | 0.828775 | − | 0.559582i | \(-0.189038\pi\) |
−0.317464 | + | 0.948270i | \(0.602831\pi\) | |||||||
\(492\) | −0.0916354 | + | 1.69012i | −0.00413124 | + | 0.0761963i | ||||
\(493\) | 2.76331 | − | 0.931068i | 0.124453 | − | 0.0419332i | ||||
\(494\) | −7.68190 | + | 1.69091i | −0.345625 | + | 0.0760778i | ||||
\(495\) | 0.173015 | + | 0.326341i | 0.00777644 | + | 0.0146679i | ||||
\(496\) | 0.595313 | − | 3.63125i | 0.0267304 | − | 0.163048i | ||||
\(497\) | −20.7000 | − | 24.3700i | −0.928523 | − | 1.09314i | ||||
\(498\) | 7.79792 | − | 9.18042i | 0.349433 | − | 0.411384i | ||||
\(499\) | −6.38476 | − | 38.9453i | −0.285821 | − | 1.74343i | −0.605444 | − | 0.795888i | \(-0.707004\pi\) |
0.319623 | − | 0.947545i | \(-0.396444\pi\) | |||||||
\(500\) | −1.13866 | + | 0.865587i | −0.0509224 | + | 0.0387102i | ||||
\(501\) | 0.777281 | + | 1.14640i | 0.0347264 | + | 0.0512176i | ||||
\(502\) | −11.4947 | − | 16.9534i | −0.513033 | − | 0.756666i | ||||
\(503\) | 4.96122 | − | 3.77142i | 0.221210 | − | 0.168160i | −0.488700 | − | 0.872452i | \(-0.662529\pi\) |
0.709910 | + | 0.704292i | \(0.248736\pi\) | |||||||
\(504\) | −0.512115 | − | 3.12376i | −0.0228114 | − | 0.139143i | ||||
\(505\) | 7.11355 | − | 8.37472i | 0.316549 | − | 0.372670i | ||||
\(506\) | 0.0773333 | + | 0.0910438i | 0.00343789 | + | 0.00404739i | ||||
\(507\) | −0.248499 | + | 1.51577i | −0.0110362 | + | 0.0673179i | ||||
\(508\) | 9.28476 | + | 17.5129i | 0.411945 | + | 0.777010i | ||||
\(509\) | 25.3126 | − | 5.57172i | 1.12196 | − | 0.246962i | 0.385013 | − | 0.922911i | \(-0.374197\pi\) |
0.736948 | + | 0.675949i | \(0.236266\pi\) | |||||||
\(510\) | −2.13303 | + | 0.718701i | −0.0944522 | + | 0.0318246i | ||||
\(511\) | 1.64058 | − | 30.2587i | 0.0725750 | − | 1.33857i | ||||
\(512\) | −0.796093 | − | 0.605174i | −0.0351827 | − | 0.0267452i | ||||
\(513\) | 1.08818 | − | 2.05252i | 0.0480442 | − | 0.0906210i | ||||
\(514\) | 3.81967 | − | 13.7572i | 0.168478 | − | 0.606804i | ||||
\(515\) | 18.8964 | − | 17.8996i | 0.832674 | − | 0.788751i | ||||
\(516\) | 4.53145 | − | 11.3731i | 0.199486 | − | 0.500672i | ||||
\(517\) | −1.16167 | − | 0.391411i | −0.0510900 | − | 0.0172142i | ||||
\(518\) | 11.2648 | + | 1.22512i | 0.494948 | + | 0.0538288i | ||||
\(519\) | −7.40288 | + | 3.42494i | −0.324950 | + | 0.150338i | ||||
\(520\) | −7.59109 | − | 7.19066i | −0.332891 | − | 0.315331i | ||||
\(521\) | 33.2019 | − | 19.9769i | 1.45460 | − | 0.875206i | 0.454722 | − | 0.890633i | \(-0.349739\pi\) |
0.999881 | + | 0.0154279i | \(0.00491104\pi\) | |||||||
\(522\) | −3.97724 | + | 0.432551i | −0.174079 | + | 0.0189323i | ||||
\(523\) | −41.1608 | − | 9.06017i | −1.79983 | − | 0.396174i | −0.816407 | − | 0.577477i | \(-0.804037\pi\) |
−0.983427 | + | 0.181303i | \(0.941969\pi\) | |||||||
\(524\) | −1.92870 | − | 6.94654i | −0.0842555 | − | 0.303461i | ||||
\(525\) | −12.3055 | − | 7.40398i | −0.537056 | − | 0.323136i | ||||
\(526\) | 28.0518 | + | 12.9781i | 1.22312 | + | 0.565874i | ||||
\(527\) | 0.992715 | + | 2.49153i | 0.0432433 | + | 0.108533i | ||||
\(528\) | −0.00647539 | − | 0.119432i | −0.000281805 | − | 0.00519759i | ||||
\(529\) | 12.3475 | − | 18.2113i | 0.536850 | − | 0.791794i | ||||
\(530\) | 34.3737 | 1.49310 | ||||||||
\(531\) | 6.29587 | − | 4.40023i | 0.273217 | − | 0.190954i | ||||
\(532\) | 7.35381 | 0.318828 | ||||||||
\(533\) | 3.21610 | − | 4.74339i | 0.139305 | − | 0.205459i | ||||
\(534\) | 0.560990 | + | 10.3468i | 0.0242764 | + | 0.447752i | ||||
\(535\) | −0.0658045 | − | 0.165157i | −0.00284498 | − | 0.00714035i | ||||
\(536\) | −11.6193 | − | 5.37564i | −0.501875 | − | 0.232192i | ||||
\(537\) | −7.14389 | − | 4.29834i | −0.308282 | − | 0.185487i | ||||
\(538\) | 8.09436 | + | 29.1532i | 0.348972 | + | 1.25689i | ||||
\(539\) | 0.352787 | + | 0.0776543i | 0.0151956 | + | 0.00334481i | ||||
\(540\) | 3.07007 | − | 0.333891i | 0.132115 | − | 0.0143684i | ||||
\(541\) | 6.07061 | − | 3.65256i | 0.260996 | − | 0.157036i | −0.379042 | − | 0.925380i | \(-0.623746\pi\) |
0.640038 | + | 0.768344i | \(0.278919\pi\) | |||||||
\(542\) | 0.610449 | + | 0.578248i | 0.0262211 | + | 0.0248379i | ||||
\(543\) | −17.8006 | + | 8.23545i | −0.763898 | + | 0.353417i | ||||
\(544\) | 0.724589 | + | 0.0788038i | 0.0310665 | + | 0.00337869i | ||||
\(545\) | −7.31750 | − | 2.46555i | −0.313447 | − | 0.105613i | ||||
\(546\) | −3.96706 | + | 9.95658i | −0.169775 | + | 0.426102i | ||||
\(547\) | −20.4718 | + | 19.3919i | −0.875310 | + | 0.829137i | −0.986347 | − | 0.164679i | \(-0.947341\pi\) |
0.111038 | + | 0.993816i | \(0.464583\pi\) | |||||||
\(548\) | 2.29560 | − | 8.26800i | 0.0980631 | − | 0.353191i | ||||
\(549\) | 5.34846 | − | 10.0883i | 0.228267 | − | 0.430557i | ||||
\(550\) | −0.431990 | − | 0.328390i | −0.0184201 | − | 0.0140026i | ||||
\(551\) | 0.503176 | − | 9.28053i | 0.0214360 | − | 0.395364i | ||||
\(552\) | 0.946447 | − | 0.318895i | 0.0402835 | − | 0.0135731i | ||||
\(553\) | 29.7038 | − | 6.53830i | 1.26313 | − | 0.278037i | ||||
\(554\) | −13.2277 | − | 24.9501i | −0.561992 | − | 1.06003i | ||||
\(555\) | −1.78843 | + | 10.9090i | −0.0759148 | + | 0.463060i | ||||
\(556\) | 2.25931 | + | 2.65987i | 0.0958163 | + | 0.112804i | ||||
\(557\) | −13.4727 | + | 15.8613i | −0.570858 | + | 0.672067i | −0.969514 | − | 0.245034i | \(-0.921201\pi\) |
0.398656 | + | 0.917101i | \(0.369477\pi\) | |||||||
\(558\) | −0.595313 | − | 3.63125i | −0.0252016 | − | 0.153723i | ||||
\(559\) | −32.9993 | + | 25.0855i | −1.39572 | + | 1.06100i | ||||
\(560\) | 5.48589 | + | 8.09109i | 0.231821 | + | 0.341911i | ||||
\(561\) | 0.0489226 | + | 0.0721554i | 0.00206551 | + | 0.00304640i | ||||
\(562\) | −7.55508 | + | 5.74322i | −0.318692 | + | 0.242263i | ||||
\(563\) | −1.84713 | − | 11.2670i | −0.0778474 | − | 0.474848i | −0.996763 | − | 0.0803944i | \(-0.974382\pi\) |
0.918916 | − | 0.394454i | \(-0.129066\pi\) | |||||||
\(564\) | −6.63497 | + | 7.81129i | −0.279383 | + | 0.328915i | ||||
\(565\) | −33.2073 | − | 39.0947i | −1.39704 | − | 1.64473i | ||||
\(566\) | 2.98982 | − | 18.2371i | 0.125671 | − | 0.766561i | ||||
\(567\) | −1.48273 | − | 2.79673i | −0.0622688 | − | 0.117451i | ||||
\(568\) | −9.86497 | + | 2.17144i | −0.413925 | + | 0.0911118i | ||||
\(569\) | −3.37342 | + | 1.13664i | −0.141421 | + | 0.0476503i | −0.389122 | − | 0.921186i | \(-0.627222\pi\) |
0.247701 | + | 0.968837i | \(0.420325\pi\) | |||||||
\(570\) | −0.388407 | + | 7.16374i | −0.0162686 | + | 0.300056i | ||||
\(571\) | −5.24497 | − | 3.98712i | −0.219495 | − | 0.166856i | 0.489648 | − | 0.871920i | \(-0.337125\pi\) |
−0.709144 | + | 0.705064i | \(0.750918\pi\) | |||||||
\(572\) | −0.189692 | + | 0.357797i | −0.00793142 | + | 0.0149602i | ||||
\(573\) | −1.23559 | + | 4.45020i | −0.0516176 | + | 0.185910i | ||||
\(574\) | −3.88978 | + | 3.68460i | −0.162356 | + | 0.153792i | ||||
\(575\) | 1.67712 | − | 4.20926i | 0.0699408 | − | 0.175538i | ||||
\(576\) | −0.947653 | − | 0.319302i | −0.0394855 | − | 0.0133042i | ||||
\(577\) | 34.8672 | + | 3.79204i | 1.45154 | + | 0.157865i | 0.799659 | − | 0.600455i | \(-0.205014\pi\) |
0.651883 | + | 0.758319i | \(0.273979\pi\) | |||||||
\(578\) | 14.9466 | − | 6.91505i | 0.621698 | − | 0.287628i | ||||
\(579\) | −1.55891 | − | 1.47668i | −0.0647862 | − | 0.0613688i | ||||
\(580\) | 10.5863 | − | 6.36959i | 0.439574 | − | 0.264483i | ||||
\(581\) | 37.9052 | − | 4.12244i | 1.57257 | − | 0.171028i | ||||
\(582\) | 12.1908 | + | 2.68341i | 0.505326 | + | 0.111231i | ||||
\(583\) | −0.356165 | − | 1.28279i | −0.0147508 | − | 0.0531277i | ||||
\(584\) | −8.20274 | − | 4.93542i | −0.339432 | − | 0.204229i | ||||
\(585\) | −9.48971 | − | 4.39041i | −0.392351 | − | 0.181521i | ||||
\(586\) | 2.93113 | + | 7.35659i | 0.121084 | + | 0.303898i | ||||
\(587\) | 1.73389 | + | 31.9796i | 0.0715651 | + | 1.31994i | 0.785121 | + | 0.619342i | \(0.212601\pi\) |
−0.713556 | + | 0.700598i | \(0.752917\pi\) | |||||||
\(588\) | 1.69488 | − | 2.49975i | 0.0698955 | − | 0.103088i | ||||
\(589\) | 8.54851 | 0.352235 | ||||||||
\(590\) | −11.9400 | + | 20.4966i | −0.491563 | + | 0.843831i | ||||
\(591\) | −4.36377 | −0.179502 | ||||||||
\(592\) | 2.00885 | − | 2.96284i | 0.0825633 | − | 0.121772i | ||||
\(593\) | −0.0547276 | − | 1.00939i | −0.00224740 | − | 0.0414508i | 0.997195 | − | 0.0748526i | \(-0.0238486\pi\) |
−0.999442 | + | 0.0334019i | \(0.989366\pi\) | |||||||
\(594\) | −0.0442711 | − | 0.111112i | −0.00181646 | − | 0.00455898i | ||||
\(595\) | −6.46648 | − | 2.99171i | −0.265100 | − | 0.122648i | ||||
\(596\) | 10.7659 | + | 6.47764i | 0.440989 | + | 0.265334i | ||||
\(597\) | 5.86356 | + | 21.1186i | 0.239979 | + | 0.864328i | ||||
\(598\) | −3.30248 | − | 0.726932i | −0.135049 | − | 0.0297264i | ||||
\(599\) | 0.820520 | − | 0.0892370i | 0.0335256 | − | 0.00364612i | −0.0913409 | − | 0.995820i | \(-0.529115\pi\) |
0.124866 | + | 0.992174i | \(0.460150\pi\) | |||||||
\(600\) | −3.88743 | + | 2.33899i | −0.158704 | + | 0.0954887i | ||||
\(601\) | 13.8959 | + | 13.1629i | 0.566827 | + | 0.536927i | 0.916547 | − | 0.399927i | \(-0.130965\pi\) |
−0.349720 | + | 0.936854i | \(0.613723\pi\) | |||||||
\(602\) | 35.1717 | − | 16.2722i | 1.43349 | − | 0.663204i | ||||
\(603\) | −12.7275 | − | 1.38420i | −0.518303 | − | 0.0563688i | ||||
\(604\) | −11.8484 | − | 3.99221i | −0.482107 | − | 0.162441i | ||||
\(605\) | 12.5572 | − | 31.5163i | 0.510524 | − | 1.28132i | ||||
\(606\) | −2.58318 | + | 2.44692i | −0.104935 | + | 0.0993993i | ||||
\(607\) | −0.638250 | + | 2.29877i | −0.0259058 | + | 0.0933041i | −0.975373 | − | 0.220563i | \(-0.929211\pi\) |
0.949467 | + | 0.313867i | \(0.101624\pi\) | |||||||
\(608\) | 1.08818 | − | 2.05252i | 0.0441314 | − | 0.0832407i | ||||
\(609\) | −10.0818 | − | 7.66396i | −0.408534 | − | 0.310559i | ||||
\(610\) | −1.90904 | + | 35.2103i | −0.0772950 | + | 1.42562i | ||||
\(611\) | 32.8846 | − | 11.0801i | 1.33037 | − | 0.448253i | ||||
\(612\) | 0.711821 | − | 0.156684i | 0.0287737 | − | 0.00633357i | ||||
\(613\) | −12.1027 | − | 22.8281i | −0.488823 | − | 0.922018i | −0.998112 | − | 0.0614221i | \(-0.980436\pi\) |
0.509289 | − | 0.860596i | \(-0.329908\pi\) | |||||||
\(614\) | −0.877535 | + | 5.35273i | −0.0354145 | + | 0.216019i | ||||
\(615\) | −3.38392 | − | 3.98386i | −0.136453 | − | 0.160645i | ||||
\(616\) | 0.245108 | − | 0.288563i | 0.00987568 | − | 0.0116265i | ||||
\(617\) | −5.18027 | − | 31.5983i | −0.208550 | − | 1.27210i | −0.858773 | − | 0.512356i | \(-0.828773\pi\) |
0.650223 | − | 0.759743i | \(-0.274675\pi\) | |||||||
\(618\) | −6.70975 | + | 5.10062i | −0.269906 | + | 0.205177i | ||||
\(619\) | 7.90926 | + | 11.6653i | 0.317900 | + | 0.468868i | 0.952745 | − | 0.303772i | \(-0.0982462\pi\) |
−0.634845 | + | 0.772640i | \(0.718936\pi\) | |||||||
\(620\) | 6.37713 | + | 9.40557i | 0.256112 | + | 0.377737i | ||||
\(621\) | 0.795080 | − | 0.604404i | 0.0319055 | − | 0.0242539i | ||||
\(622\) | −1.00777 | − | 6.14713i | −0.0404079 | − | 0.246477i | ||||
\(623\) | −21.2347 | + | 24.9994i | −0.850750 | + | 1.00158i | ||||
\(624\) | 2.19195 | + | 2.58057i | 0.0877484 | + | 0.103305i | ||||
\(625\) | 4.38450 | − | 26.7443i | 0.175380 | − | 1.06977i | ||||
\(626\) | 14.3338 | + | 27.0365i | 0.572895 | + | 1.08060i | ||||
\(627\) | 0.271367 | − | 0.0597324i | 0.0108374 | − | 0.00238548i | ||||
\(628\) | −3.16985 | + | 1.06805i | −0.126491 | + | 0.0426197i | ||||
\(629\) | −0.141252 | + | 2.60524i | −0.00563209 | + | 0.103878i | ||||
\(630\) | 7.78222 | + | 5.91589i | 0.310051 | + | 0.235695i | ||||
\(631\) | 10.0147 | − | 18.8898i | 0.398680 | − | 0.751990i | −0.600173 | − | 0.799870i | \(-0.704902\pi\) |
0.998853 | + | 0.0478802i | \(0.0152466\pi\) | |||||||
\(632\) | 2.57051 | − | 9.25813i | 0.102249 | − | 0.368269i | ||||
\(633\) | −8.10159 | + | 7.67423i | −0.322009 | + | 0.305023i | ||||
\(634\) | 0.0607202 | − | 0.152396i | 0.00241151 | − | 0.00605243i | ||||
\(635\) | −58.0093 | − | 19.5456i | −2.30203 | − | 0.775644i | ||||
\(636\) | −11.0655 | − | 1.20345i | −0.438776 | − | 0.0477197i | ||||
\(637\) | −9.28070 | + | 4.29371i | −0.367715 | + | 0.170123i | ||||
\(638\) | −0.347397 | − | 0.329072i | −0.0137536 | − | 0.0130281i | ||||
\(639\) | −8.65523 | + | 5.20768i | −0.342396 | + | 0.206013i | ||||
\(640\) | 3.07007 | − | 0.333891i | 0.121355 | − | 0.0131982i | ||||
\(641\) | −1.80711 | − | 0.397776i | −0.0713766 | − | 0.0157112i | 0.179139 | − | 0.983824i | \(-0.442669\pi\) |
−0.250515 | + | 0.968113i | \(0.580600\pi\) | |||||||
\(642\) | 0.0154014 | + | 0.0554707i | 0.000607843 | + | 0.00218925i | ||||
\(643\) | 25.3996 | + | 15.2824i | 1.00166 | + | 0.602679i | 0.919149 | − | 0.393911i | \(-0.128878\pi\) |
0.0825121 | + | 0.996590i | \(0.473706\pi\) | |||||||
\(644\) | 2.86924 | + | 1.32745i | 0.113064 | + | 0.0523089i | ||||
\(645\) | 13.9939 | + | 35.1221i | 0.551011 | + | 1.38293i | ||||
\(646\) | 0.0916705 | + | 1.69076i | 0.00360673 | + | 0.0665222i | ||||
\(647\) | −15.6302 | + | 23.0529i | −0.614488 | + | 0.906303i | −0.999865 | − | 0.0164570i | \(-0.994761\pi\) |
0.385376 | + | 0.922760i | \(0.374072\pi\) | |||||||
\(648\) | −1.00000 | −0.0392837 | ||||||||
\(649\) | 0.888626 | + | 0.233212i | 0.0348816 | + | 0.00915438i | ||||
\(650\) | 15.3611 | 0.602511 | ||||||||
\(651\) | 6.53673 | − | 9.64095i | 0.256195 | − | 0.377859i | ||||
\(652\) | 0.107476 | + | 1.98228i | 0.00420908 | + | 0.0776319i | ||||
\(653\) | 3.97203 | + | 9.96903i | 0.155437 | + | 0.390118i | 0.985986 | − | 0.166828i | \(-0.0533523\pi\) |
−0.830549 | + | 0.556946i | \(0.811973\pi\) | |||||||
\(654\) | 2.26931 | + | 1.04989i | 0.0887370 | + | 0.0410541i | ||||
\(655\) | 19.0768 | + | 11.4781i | 0.745391 | + | 0.448487i | ||||
\(656\) | 0.452818 | + | 1.63090i | 0.0176796 | + | 0.0636761i | ||||
\(657\) | −9.34924 | − | 2.05792i | −0.364749 | − | 0.0802872i | ||||
\(658\) | −32.2522 | + | 3.50764i | −1.25732 | + | 0.136742i | ||||
\(659\) | 10.3210 | − | 6.20992i | 0.402048 | − | 0.241904i | −0.300141 | − | 0.953895i | \(-0.597034\pi\) |
0.702189 | + | 0.711991i | \(0.252206\pi\) | |||||||
\(660\) | 0.268159 | + | 0.254014i | 0.0104381 | + | 0.00988747i | ||||
\(661\) | −2.99015 | + | 1.38339i | −0.116303 | + | 0.0538076i | −0.477178 | − | 0.878807i | \(-0.658340\pi\) |
0.360875 | + | 0.932614i | \(0.382478\pi\) | |||||||
\(662\) | −24.4352 | − | 2.65749i | −0.949701 | − | 0.103286i | ||||
\(663\) | −2.33864 | − | 0.787978i | −0.0908251 | − | 0.0306025i | ||||
\(664\) | 4.45840 | − | 11.1897i | 0.173019 | − | 0.434246i | ||||
\(665\) | −16.4873 | + | 15.6176i | −0.639349 | + | 0.605623i | ||||
\(666\) | 0.957657 | − | 3.44917i | 0.0371085 | − | 0.133653i | ||||
\(667\) | 1.87157 | − | 3.53016i | 0.0724676 | − | 0.136688i | ||||
\(668\) | 1.10264 | + | 0.838206i | 0.0426625 | + | 0.0324312i | ||||
\(669\) | −0.471399 | + | 8.69445i | −0.0182253 | + | 0.336147i | ||||
\(670\) | 37.4668 | − | 12.6240i | 1.44747 | − | 0.487710i | ||||
\(671\) | 1.33379 | − | 0.293589i | 0.0514903 | − | 0.0113339i | ||||
\(672\) | −1.48273 | − | 2.79673i | −0.0571976 | − | 0.107886i | ||||
\(673\) | −2.99669 | + | 18.2790i | −0.115514 | + | 0.704604i | 0.864040 | + | 0.503423i | \(0.167926\pi\) |
−0.979554 | + | 0.201181i | \(0.935522\pi\) | |||||||
\(674\) | −3.75143 | − | 4.41652i | −0.144500 | − | 0.170118i | ||||
\(675\) | −2.93709 | + | 3.45781i | −0.113049 | + | 0.133091i | ||||
\(676\) | 0.248499 | + | 1.51577i | 0.00955764 | + | 0.0582990i | ||||
\(677\) | −34.9129 | + | 26.5401i | −1.34181 | + | 1.02002i | −0.345136 | + | 0.938553i | \(0.612167\pi\) |
−0.996676 | + | 0.0814668i | \(0.974040\pi\) | |||||||
\(678\) | 9.32129 | + | 13.7479i | 0.357982 | + | 0.527984i | ||||
\(679\) | 22.1744 | + | 32.7048i | 0.850977 | + | 1.25510i | ||||
\(680\) | −1.79189 | + | 1.36216i | −0.0687158 | + | 0.0522364i | ||||
\(681\) | −3.28807 | − | 20.0564i | −0.125999 | − | 0.768561i | ||||
\(682\) | 0.284928 | − | 0.335443i | 0.0109105 | − | 0.0128448i | ||||
\(683\) | 7.96059 | + | 9.37193i | 0.304603 | + | 0.358607i | 0.893072 | − | 0.449913i | \(-0.148545\pi\) |
−0.588469 | + | 0.808520i | \(0.700269\pi\) | |||||||
\(684\) | 0.375842 | − | 2.29253i | 0.0143707 | − | 0.0876572i | ||||
\(685\) | 12.4123 | + | 23.4121i | 0.474250 | + | 0.894531i | ||||
\(686\) | −12.3035 | + | 2.70820i | −0.469750 | + | 0.103400i | ||||
\(687\) | 4.54811 | − | 1.53244i | 0.173521 | − | 0.0584661i | ||||
\(688\) | 0.662801 | − | 12.2246i | 0.0252690 | − | 0.466060i | ||||
\(689\) | 30.0024 | + | 22.8072i | 1.14300 | + | 0.868887i | ||||
\(690\) | −1.44469 | + | 2.72497i | −0.0549983 | + | 0.103738i | ||||
\(691\) | −7.23351 | + | 26.0527i | −0.275176 | + | 0.991093i | 0.688767 | + | 0.724983i | \(0.258152\pi\) |
−0.963943 | + | 0.266110i | \(0.914261\pi\) | |||||||
\(692\) | −5.92178 | + | 5.60941i | −0.225112 | + | 0.213238i | ||||
\(693\) | 0.140139 | − | 0.351721i | 0.00532342 | − | 0.0133608i | ||||
\(694\) | 21.7944 | + | 7.34340i | 0.827306 | + | 0.278752i | ||||
\(695\) | −10.7143 | − | 1.16525i | −0.406415 | − | 0.0442003i | ||||
\(696\) | −3.63093 | + | 1.67985i | −0.137630 | + | 0.0636745i | ||||
\(697\) | −0.895639 | − | 0.848394i | −0.0339248 | − | 0.0321352i | ||||
\(698\) | 14.0310 | − | 8.44216i | 0.531080 | − | 0.319540i | ||||
\(699\) | 11.7416 | − | 1.27698i | 0.444109 | − | 0.0482998i | ||||
\(700\) | −14.0255 | − | 3.08724i | −0.530112 | − | 0.116687i | ||||
\(701\) | 5.75043 | + | 20.7112i | 0.217191 | + | 0.782250i | 0.989192 | + | 0.146629i | \(0.0468422\pi\) |
−0.772001 | + | 0.635621i | \(0.780744\pi\) | |||||||
\(702\) | 2.90119 | + | 1.74559i | 0.109498 | + | 0.0658830i | ||||
\(703\) | 7.54741 | + | 3.49180i | 0.284656 | + | 0.131696i | ||||
\(704\) | −0.0442711 | − | 0.111112i | −0.00166853 | − | 0.00418769i | ||||
\(705\) | −1.71351 | − | 31.6039i | −0.0645346 | − | 1.19027i | ||||
\(706\) | −15.1514 | + | 22.3467i | −0.570231 | + | 0.841029i | ||||
\(707\) | −11.2631 | −0.423593 | ||||||||
\(708\) | 4.56130 | − | 6.18017i | 0.171424 | − | 0.232265i | ||||
\(709\) | −5.65387 | −0.212336 | −0.106168 | − | 0.994348i | \(-0.533858\pi\) | ||||
−0.106168 | + | 0.994348i | \(0.533858\pi\) | |||||||
\(710\) | 17.5057 | − | 25.8190i | 0.656978 | − | 0.968970i | ||||
\(711\) | −0.520186 | − | 9.59426i | −0.0195085 | − | 0.359813i | ||||
\(712\) | 3.83539 | + | 9.62610i | 0.143737 | + | 0.360753i | ||||
\(713\) | 3.33538 | + | 1.54311i | 0.124911 | + | 0.0577899i | ||||
\(714\) | 1.97693 | + | 1.18948i | 0.0739847 | + | 0.0445151i | ||||
\(715\) | −0.334577 | − | 1.20504i | −0.0125125 | − | 0.0450659i | ||||
\(716\) | −8.14240 | − | 1.79228i | −0.304296 | − | 0.0669806i | ||||
\(717\) | −27.4533 | + | 2.98572i | −1.02526 | + | 0.111504i | ||||
\(718\) | −6.23904 | + | 3.75390i | −0.232839 | + | 0.140094i | ||||
\(719\) | −34.1735 | − | 32.3709i | −1.27446 | − | 1.20723i | −0.966743 | − | 0.255752i | \(-0.917677\pi\) |
−0.307715 | − | 0.951479i | \(-0.599564\pi\) | |||||||
\(720\) | 2.80275 | − | 1.29669i | 0.104452 | − | 0.0483249i | ||||
\(721\) | −26.5232 | − | 2.88457i | −0.987777 | − | 0.107427i | ||||
\(722\) | −12.8910 | − | 4.34347i | −0.479752 | − | 0.161647i | ||||
\(723\) | 4.70361 | − | 11.8052i | 0.174929 | − | 0.439039i | ||||
\(724\) | −14.2392 | + | 13.4881i | −0.529197 | + | 0.501282i | ||||
\(725\) | −4.85578 | + | 17.4889i | −0.180339 | + | 0.649523i | ||||
\(726\) | −5.14579 | + | 9.70599i | −0.190978 | + | 0.360223i | ||||
\(727\) | −27.3769 | − | 20.8114i | −1.01535 | − | 0.771852i | −0.0415256 | − | 0.999137i | \(-0.513222\pi\) |
−0.973828 | + | 0.227286i | \(0.927015\pi\) | |||||||
\(728\) | −0.580250 | + | 10.7021i | −0.0215055 | + | 0.396645i | ||||
\(729\) | −0.947653 | + | 0.319302i | −0.0350983 | + | 0.0118260i | ||||
\(730\) | 28.8721 | − | 6.35523i | 1.06861 | − | 0.235218i | ||||
\(731\) | 4.17968 | + | 7.88372i | 0.154591 | + | 0.291590i | ||||
\(732\) | 1.84729 | − | 11.2680i | 0.0682777 | − | 0.416476i | ||||
\(733\) | −5.48245 | − | 6.45444i | −0.202499 | − | 0.238400i | 0.651534 | − | 0.758620i | \(-0.274126\pi\) |
−0.854032 | + | 0.520220i | \(0.825850\pi\) | |||||||
\(734\) | −8.49249 | + | 9.99814i | −0.313464 | + | 0.369038i | ||||
\(735\) | 1.50891 | + | 9.20393i | 0.0556569 | + | 0.339492i | ||||
\(736\) | 0.795080 | − | 0.604404i | 0.0293070 | − | 0.0222786i | ||||
\(737\) | −0.859329 | − | 1.26742i | −0.0316538 | − | 0.0466858i | ||||
\(738\) | 0.949864 | + | 1.40095i | 0.0349650 | + | 0.0515695i | ||||
\(739\) | 5.69252 | − | 4.32734i | 0.209403 | − | 0.159184i | −0.495216 | − | 0.868770i | \(-0.664911\pi\) |
0.704619 | + | 0.709586i | \(0.251118\pi\) | |||||||
\(740\) | 1.78843 | + | 10.9090i | 0.0657441 | + | 0.401021i | ||||
\(741\) | −5.09221 | + | 5.99501i | −0.187067 | + | 0.220232i | ||||
\(742\) | −22.8100 | − | 26.8540i | −0.837382 | − | 0.985842i | ||||
\(743\) | −5.66920 | + | 34.5806i | −0.207983 | + | 1.26864i | 0.651962 | + | 0.758252i | \(0.273946\pi\) |
−0.859945 | + | 0.510387i | \(0.829502\pi\) | |||||||
\(744\) | −1.72361 | − | 3.25108i | −0.0631908 | − | 0.119190i | ||||
\(745\) | −37.8940 | + | 8.34111i | −1.38833 | + | 0.305595i | ||||
\(746\) | −19.4081 | + | 6.53936i | −0.710582 | + | 0.239423i | ||||
\(747\) | 0.652116 | − | 12.0276i | 0.0238597 | − | 0.440066i | ||||
\(748\) | 0.0694009 | + | 0.0527572i | 0.00253755 | + | 0.00192900i | ||||
\(749\) | −0.0853594 | + | 0.161005i | −0.00311897 | + | 0.00588299i | ||||
\(750\) | −0.382649 | + | 1.37818i | −0.0139724 | + | 0.0503239i | ||||
\(751\) | 10.2055 | − | 9.66720i | 0.372405 | − | 0.352761i | −0.478493 | − | 0.878091i | \(-0.658817\pi\) |
0.850898 | + | 0.525330i | \(0.176058\pi\) | |||||||
\(752\) | −3.79349 | + | 9.52095i | −0.138334 | + | 0.347193i | ||||
\(753\) | −19.4106 | − | 6.54019i | −0.707361 | − | 0.238338i | ||||
\(754\) | 13.4664 | + | 1.46455i | 0.490416 | + | 0.0533359i | ||||
\(755\) | 35.0427 | − | 16.2125i | 1.27533 | − | 0.590032i | ||||
\(756\) | −2.29811 | − | 2.17689i | −0.0835815 | − | 0.0791726i | ||||
\(757\) | 29.0034 | − | 17.4508i | 1.05415 | − | 0.634258i | 0.120594 | − | 0.992702i | \(-0.461520\pi\) |
0.933551 | + | 0.358443i | \(0.116692\pi\) | |||||||
\(758\) | 6.39040 | − | 0.694998i | 0.232110 | − | 0.0252435i | ||||
\(759\) | 0.116662 | + | 0.0256792i | 0.00423456 | + | 0.000932097i | ||||
\(760\) | 1.91932 | + | 6.91276i | 0.0696210 | + | 0.250752i | ||||
\(761\) | −41.4650 | − | 24.9487i | −1.50311 | − | 0.904388i | −0.999174 | − | 0.0406449i | \(-0.987059\pi\) |
−0.503932 | − | 0.863744i | \(-0.668114\pi\) | |||||||
\(762\) | 17.9899 | + | 8.32301i | 0.651705 | + | 0.301511i | ||||
\(763\) | 2.92963 | + | 7.35280i | 0.106060 | + | 0.266189i | ||||
\(764\) | 0.250043 | + | 4.61177i | 0.00904624 | + | 0.166848i | ||||
\(765\) | −1.26315 | + | 1.86301i | −0.0456693 | + | 0.0673572i | ||||
\(766\) | 15.3063 | 0.553038 | ||||||||
\(767\) | −24.0212 | + | 9.96771i | −0.867357 | + | 0.359913i | ||||
\(768\) | −1.00000 | −0.0360844 | ||||||||
\(769\) | −12.3060 | + | 18.1499i | −0.443764 | + | 0.654503i | −0.982129 | − | 0.188209i | \(-0.939732\pi\) |
0.538365 | + | 0.842712i | \(0.319042\pi\) | |||||||
\(770\) | 0.0633003 | + | 1.16750i | 0.00228118 | + | 0.0420740i | ||||
\(771\) | −5.28469 | − | 13.2636i | −0.190323 | − | 0.477676i | ||||
\(772\) | −1.94882 | − | 0.901618i | −0.0701394 | − | 0.0324499i | ||||
\(773\) | 14.5060 | + | 8.72796i | 0.521744 | + | 0.313923i | 0.751951 | − | 0.659219i | \(-0.229113\pi\) |
−0.230207 | + | 0.973142i | \(0.573940\pi\) | |||||||
\(774\) | −3.27524 | − | 11.7964i | −0.117726 | − | 0.424011i | ||||
\(775\) | −16.3040 | − | 3.58879i | −0.585658 | − | 0.128913i | ||||
\(776\) | 12.4095 | − | 1.34961i | 0.445475 | − | 0.0484483i | ||||
\(777\) | 9.70926 | − | 5.84187i | 0.348318 | − | 0.209576i | ||||
\(778\) | −20.4866 | − | 19.4059i | −0.734479 | − | 0.695735i | ||||
\(779\) | −3.56871 | + | 1.65106i | −0.127862 | + | 0.0591554i | ||||
\(780\) | −10.3948 | − | 1.13050i | −0.372194 | − | 0.0404786i | ||||
\(781\) | −1.14492 | − | 0.385769i | −0.0409685 | − | 0.0138039i | ||||
\(782\) | −0.269436 | + | 0.676234i | −0.00963502 | + | 0.0241821i | ||||
\(783\) | −2.90449 | + | 2.75128i | −0.103798 | + | 0.0983226i | ||||
\(784\) | 0.807979 | − | 2.91008i | 0.0288564 | − | 0.103931i | ||||
\(785\) | 4.83856 | − | 9.12649i | 0.172696 | − | 0.325738i | ||||
\(786\) | −5.73929 | − | 4.36289i | −0.204714 | − | 0.155619i | ||||
\(787\) | −0.335838 | + | 6.19417i | −0.0119713 | + | 0.220798i | 0.986426 | + | 0.164206i | \(0.0525062\pi\) |
−0.998397 | + | 0.0565921i | \(0.981977\pi\) | |||||||
\(788\) | −4.13534 | + | 1.39336i | −0.147315 | + | 0.0496364i | ||||
\(789\) | 30.1859 | − | 6.64441i | 1.07465 | − | 0.236547i | ||||
\(790\) | 13.8988 | + | 26.2158i | 0.494496 | + | 0.932718i | ||||
\(791\) | −8.50620 | + | 51.8856i | −0.302446 | + | 1.84484i | ||||
\(792\) | −0.0774319 | − | 0.0911599i | −0.00275142 | − | 0.00323922i | ||||
\(793\) | −25.0285 | + | 29.4659i | −0.888790 | + | 1.04636i | ||||
\(794\) | −5.39614 | − | 32.9150i | −0.191502 | − | 1.16811i | ||||
\(795\) | 27.3647 | − | 20.8021i | 0.970526 | − | 0.737775i | ||||
\(796\) | 12.2998 | + | 18.1409i | 0.435956 | + | 0.642987i | ||||
\(797\) | 24.1895 | + | 35.6768i | 0.856835 | + | 1.26374i | 0.963031 | + | 0.269392i | \(0.0868227\pi\) |
−0.106195 | + | 0.994345i | \(0.533867\pi\) | |||||||
\(798\) | 5.85432 | − | 4.45034i | 0.207241 | − | 0.157540i | ||||
\(799\) | −1.20851 | − | 7.37159i | −0.0427541 | − | 0.260788i | ||||
\(800\) | −2.93709 | + | 3.45781i | −0.103842 | + | 0.122252i | ||||
\(801\) | 6.70824 | + | 7.89755i | 0.237024 | + | 0.279046i | ||||
\(802\) | 5.18306 | − | 31.6153i | 0.183020 | − | 1.11637i | ||||
\(803\) | −0.536329 | − | 1.01162i | −0.0189267 | − | 0.0356995i | ||||
\(804\) | −12.5032 | + | 2.75216i | −0.440954 | + | 0.0970613i | ||||
\(805\) | −9.25201 | + | 3.11736i | −0.326090 | + | 0.109873i | ||||
\(806\) | −0.674517 | + | 12.4407i | −0.0237588 | + | 0.438206i | ||||
\(807\) | 24.0866 | + | 18.3102i | 0.847890 | + | 0.644549i | ||||
\(808\) | −1.66665 | + | 3.14364i | −0.0586327 | + | 0.110593i | ||||
\(809\) | 14.2801 | − | 51.4322i | 0.502060 | − | 1.80826i | −0.0821047 | − | 0.996624i | \(-0.526164\pi\) |
0.584165 | − | 0.811635i | \(-0.301422\pi\) | |||||||
\(810\) | 2.24200 | − | 2.12374i | 0.0787760 | − | 0.0746206i | ||||
\(811\) | −10.6756 | + | 26.7938i | −0.374873 | + | 0.940859i | 0.613622 | + | 0.789600i | \(0.289712\pi\) |
−0.988494 | + | 0.151259i | \(0.951667\pi\) | |||||||
\(812\) | −12.0011 | − | 4.04365i | −0.421157 | − | 0.141904i | ||||
\(813\) | 0.835916 | + | 0.0909113i | 0.0293168 | + | 0.00318840i | ||||
\(814\) | 0.388579 | − | 0.179776i | 0.0136197 | − | 0.00630114i | ||||
\(815\) | −4.45079 | − | 4.21602i | −0.155905 | − | 0.147681i | ||||
\(816\) | 0.624530 | − | 0.375768i | 0.0218629 | − | 0.0131545i | ||||
\(817\) | 28.2745 | − | 3.07504i | 0.989200 | − | 0.107582i | ||||
\(818\) | 32.4916 | + | 7.15194i | 1.13604 | + | 0.250062i | ||||
\(819\) | 2.86731 | + | 10.3271i | 0.100192 | + | 0.360859i | ||||
\(820\) | −4.47883 | − | 2.69482i | −0.156408 | − | 0.0941073i | ||||
\(821\) | −20.2714 | − | 9.37853i | −0.707475 | − | 0.327313i | 0.0329450 | − | 0.999457i | \(-0.489511\pi\) |
−0.740420 | + | 0.672144i | \(0.765373\pi\) | |||||||
\(822\) | −3.17607 | − | 7.97133i | −0.110778 | − | 0.278032i | ||||
\(823\) | 1.26838 | + | 23.3939i | 0.0442131 | + | 0.815462i | 0.933602 | + | 0.358311i | \(0.116647\pi\) |
−0.889389 | + | 0.457151i | \(0.848870\pi\) | |||||||
\(824\) | −4.72988 | + | 6.97605i | −0.164773 | + | 0.243022i | ||||
\(825\) | −0.542638 | −0.0188922 | ||||||||
\(826\) | 23.9359 | − | 4.27330i | 0.832837 | − | 0.148687i | ||||
\(827\) | 43.2250 | 1.50308 | 0.751540 | − | 0.659688i | \(-0.229311\pi\) | ||||
0.751540 | + | 0.659688i | \(0.229311\pi\) | |||||||
\(828\) | 0.560473 | − | 0.826635i | 0.0194778 | − | 0.0287276i | ||||
\(829\) | 2.55881 | + | 47.1944i | 0.0888711 | + | 1.63913i | 0.614858 | + | 0.788638i | \(0.289213\pi\) |
−0.525987 | + | 0.850493i | \(0.676304\pi\) | |||||||
\(830\) | 13.7683 | + | 34.5559i | 0.477906 | + | 1.19945i | ||||
\(831\) | −25.6297 | − | 11.8576i | −0.889084 | − | 0.411334i | ||||
\(832\) | 2.90119 | + | 1.74559i | 0.100581 | + | 0.0605174i | ||||
\(833\) | 0.588905 | + | 2.12104i | 0.0204043 | + | 0.0734898i | ||||
\(834\) | 3.40831 | + | 0.750226i | 0.118020 | + | 0.0259782i | ||||
\(835\) | −4.25226 | + | 0.462461i | −0.147155 | + | 0.0160041i | ||||
\(836\) | 0.238089 | − | 0.143254i | 0.00823449 | − | 0.00495453i | ||||
\(837\) | −2.67146 | − | 2.53055i | −0.0923393 | − | 0.0874684i | ||||
\(838\) | 13.1715 | − | 6.09379i | 0.455002 | − | 0.210506i | ||||
\(839\) | −34.6637 | − | 3.76991i | −1.19672 | − | 0.130152i | −0.512021 | − | 0.858973i | \(-0.671103\pi\) |
−0.684704 | + | 0.728822i | \(0.740068\pi\) | |||||||
\(840\) | 9.26380 | + | 3.12134i | 0.319631 | + | 0.107696i | ||||
\(841\) | 4.80974 | − | 12.0715i | 0.165853 | − | 0.416260i | ||||
\(842\) | −22.1436 | + | 20.9755i | −0.763118 | + | 0.722864i | ||||
\(843\) | −2.53890 | + | 9.14428i | −0.0874442 | + | 0.314946i | ||||
\(844\) | −5.22710 | + | 9.85936i | −0.179924 | + | 0.339373i | ||||
\(845\) | −3.77624 | − | 2.87063i | −0.129907 | − | 0.0987525i | ||||
\(846\) | −0.554862 | + | 10.2338i | −0.0190765 | + | 0.351846i | ||||
\(847\) | −32.9545 | + | 11.1037i | −1.13233 | + | 0.381526i | ||||
\(848\) | −10.8705 | + | 2.39278i | −0.373295 | + | 0.0821685i | ||||
\(849\) | −8.65643 | − | 16.3278i | −0.297088 | − | 0.560367i | ||||
\(850\) | 0.534970 | − | 3.26317i | 0.0183493 | − | 0.111926i | ||||
\(851\) | 2.31447 | + | 2.72480i | 0.0793389 | + | 0.0934049i | ||||
\(852\) | −6.53933 | + | 7.69870i | −0.224034 | + | 0.263753i | ||||
\(853\) | −0.188025 | − | 1.14690i | −0.00643784 | − | 0.0392691i | 0.983412 | − | 0.181385i | \(-0.0580579\pi\) |
−0.989850 | + | 0.142115i | \(0.954610\pi\) | |||||||
\(854\) | 28.7743 | − | 21.8737i | 0.984638 | − | 0.748502i | ||||
\(855\) | 4.02610 | + | 5.93806i | 0.137690 | + | 0.203077i | ||||
\(856\) | 0.0323070 | + | 0.0476493i | 0.00110423 | + | 0.00162862i | ||||
\(857\) | 18.4643 | − | 14.0362i | 0.630730 | − | 0.479468i | −0.240300 | − | 0.970699i | \(-0.577246\pi\) |
0.871030 | + | 0.491230i | \(0.163453\pi\) | |||||||
\(858\) | 0.0655171 | + | 0.399636i | 0.00223672 | + | 0.0136434i | ||||
\(859\) | −12.6770 | + | 14.9245i | −0.432532 | + | 0.509216i | −0.934643 | − | 0.355587i | \(-0.884281\pi\) |
0.502111 | + | 0.864803i | \(0.332557\pi\) | |||||||
\(860\) | 24.4759 | + | 28.8153i | 0.834623 | + | 0.982594i | ||||
\(861\) | −0.866805 | + | 5.28728i | −0.0295406 | + | 0.180190i | ||||
\(862\) | 12.5218 | + | 23.6185i | 0.426493 | + | 0.804451i | ||||
\(863\) | 5.10436 | − | 1.12355i | 0.173754 | − | 0.0382462i | −0.127241 | − | 0.991872i | \(-0.540612\pi\) |
0.300995 | + | 0.953626i | \(0.402681\pi\) | |||||||
\(864\) | −0.947653 | + | 0.319302i | −0.0322398 | + | 0.0108629i | ||||
\(865\) | 1.36373 | − | 25.1526i | 0.0463684 | − | 0.855214i | ||||
\(866\) | −5.60949 | − | 4.26423i | −0.190618 | − | 0.144904i | ||||
\(867\) | 7.71411 | − | 14.5503i | 0.261985 | − | 0.494156i | ||||
\(868\) | 3.11618 | − | 11.2235i | 0.105770 | − | 0.380949i | ||||
\(869\) | 0.834333 | − | 0.790322i | 0.0283028 | − | 0.0268098i | ||||
\(870\) | 4.57300 | − | 11.4774i | 0.155039 | − | 0.389119i | ||||
\(871\) | 41.0783 | + | 13.8409i | 1.39189 | + | 0.468981i | ||||
\(872\) | 2.48575 | + | 0.270342i | 0.0841781 | + | 0.00915492i | ||||
\(873\) | 11.3290 | − | 5.24134i | 0.383427 | − | 0.177392i | ||||
\(874\) | 1.68444 | + | 1.59559i | 0.0569770 | + | 0.0539715i | ||||
\(875\) | −3.87950 | + | 2.33422i | −0.131151 | + | 0.0789110i | ||||
\(876\) | −9.51694 | + | 1.03503i | −0.321547 | + | 0.0349704i | ||||
\(877\) | −10.0907 | − | 2.22114i | −0.340740 | − | 0.0750025i | 0.0413043 | − | 0.999147i | \(-0.486849\pi\) |
−0.382044 | + | 0.924144i | \(0.624780\pi\) | |||||||
\(878\) | 9.05255 | + | 32.6043i | 0.305509 | + | 1.10034i | ||||
\(879\) | 6.78548 | + | 4.08269i | 0.228868 | + | 0.137706i | ||||
\(880\) | 0.335229 | + | 0.155093i | 0.0113006 | + | 0.00522820i | ||||
\(881\) | 12.1500 | + | 30.4942i | 0.409344 | + | 1.02738i | 0.978702 | + | 0.205286i | \(0.0658124\pi\) |
−0.569358 | + | 0.822090i | \(0.692808\pi\) | |||||||
\(882\) | −0.163508 | − | 3.01573i | −0.00550561 | − | 0.101545i | ||||
\(883\) | 17.9321 | − | 26.4478i | 0.603462 | − | 0.890040i | −0.396141 | − | 0.918189i | \(-0.629651\pi\) |
0.999604 | + | 0.0281492i | \(0.00896136\pi\) | |||||||
\(884\) | −2.46782 | −0.0830017 | ||||||||
\(885\) | 2.89862 | + | 23.5430i | 0.0974362 | + | 0.791388i | ||||
\(886\) | 12.4771 | 0.419176 | ||||||||
\(887\) | 1.64482 | − | 2.42592i | 0.0552275 | − | 0.0814544i | −0.799073 | − | 0.601234i | \(-0.794676\pi\) |
0.854300 | + | 0.519780i | \(0.173986\pi\) | |||||||
\(888\) | −0.193798 | − | 3.57440i | −0.00650344 | − | 0.119949i | ||||
\(889\) | 23.2245 | + | 58.2892i | 0.778926 | + | 1.95496i | ||||
\(890\) | −29.0423 | − | 13.4364i | −0.973499 | − | 0.450388i | ||||
\(891\) | −0.102486 | − | 0.0616638i | −0.00343341 | − | 0.00206582i | ||||
\(892\) | 2.32943 | + | 8.38984i | 0.0779950 | + | 0.280913i | ||||
\(893\) | −23.2528 | − | 5.11834i | −0.778127 | − | 0.171279i | ||||
\(894\) | 12.4908 | − | 1.35845i | 0.417754 | − | 0.0454335i | ||||
\(895\) | 22.0616 | − | 13.2740i | 0.737438 | − | 0.443702i | ||||
\(896\) | −2.29811 | − | 2.17689i | −0.0767746 | − | 0.0727247i | ||||
\(897\) | −3.06900 | + | 1.41987i | −0.102471 | + | 0.0474082i | ||||
\(898\) | −16.9923 | − | 1.84802i | −0.567039 | − | 0.0616692i | ||||
\(899\) | −13.9508 | − | 4.70058i | −0.465286 | − | 0.156773i | ||||
\(900\) | −1.67926 | + | 4.21462i | −0.0559753 | + | 0.140487i | ||||
\(901\) | 5.88984 | − | 5.57915i | 0.196219 | − | 0.185869i | ||||
\(902\) | −0.0541602 | + | 0.195067i | −0.00180334 | + | 0.00649503i | ||||
\(903\) | 18.1525 | − | 34.2392i | 0.604076 | − | 1.13941i | ||||
\(904\) | 13.2231 | + | 10.0519i | 0.439793 | + | 0.334322i | ||||
\(905\) | 3.27917 | − | 60.4808i | 0.109003 | − | 2.01045i | ||||
\(906\) | −11.8484 | + | 3.99221i | −0.393638 | + | 0.132632i | ||||
\(907\) | 51.4275 | − | 11.3200i | 1.70762 | − | 0.375876i | 0.749447 | − | 0.662064i | \(-0.230319\pi\) |
0.958173 | + | 0.286188i | \(0.0923883\pi\) | |||||||
\(908\) | −9.51997 | − | 17.9566i | −0.315931 | − | 0.595910i | ||||
\(909\) | −0.575640 | + | 3.51125i | −0.0190928 | + | 0.116461i | ||||
\(910\) | −21.4275 | − | 25.2264i | −0.710314 | − | 0.836246i | ||||
\(911\) | 20.8947 | − | 24.5991i | 0.692271 | − | 0.815005i | −0.297940 | − | 0.954585i | \(-0.596299\pi\) |
0.990211 | + | 0.139580i | \(0.0445753\pi\) | |||||||
\(912\) | −0.375842 | − | 2.29253i | −0.0124454 | − | 0.0759134i | ||||
\(913\) | 1.14693 | − | 0.871870i | 0.0379577 | − | 0.0288547i | ||||
\(914\) | −10.2106 | − | 15.0595i | −0.337736 | − | 0.498123i | ||||
\(915\) | 19.7886 | + | 29.1859i | 0.654190 | + | 0.964858i | ||||
\(916\) | 3.82072 | − | 2.90443i | 0.126240 | − | 0.0959652i | ||||
\(917\) | −3.69200 | − | 22.5202i | −0.121921 | − | 0.743683i | ||||
\(918\) | 0.471855 | − | 0.555511i | 0.0155735 | − | 0.0183346i | ||||
\(919\) | 1.86154 | + | 2.19158i | 0.0614067 | + | 0.0722935i | 0.792008 | − | 0.610511i | \(-0.209036\pi\) |
−0.730601 | + | 0.682805i | \(0.760760\pi\) | |||||||
\(920\) | −0.498976 | + | 3.04362i | −0.0164507 | + | 0.100345i | ||||
\(921\) | 2.54073 | + | 4.79233i | 0.0837200 | + | 0.157913i | ||||
\(922\) | 15.4186 | − | 3.39390i | 0.507786 | − | 0.111772i | ||||
\(923\) | 32.4106 | − | 10.9204i | 1.06681 | − | 0.359450i | ||||
\(924\) | 0.0204976 | − | 0.378056i | 0.000674322 | − | 0.0124371i | ||||
\(925\) | −12.9288 | − | 9.82821i | −0.425096 | − | 0.323150i | ||||
\(926\) | −10.3332 | + | 19.4905i | −0.339570 | + | 0.640497i | ||||
\(927\) | −2.25482 | + | 8.12113i | −0.0740580 | + | 0.266733i | ||||
\(928\) | −2.90449 | + | 2.75128i | −0.0953444 | + | 0.0903151i | ||||
\(929\) | 6.46649 | − | 16.2297i | 0.212159 | − | 0.532478i | −0.783929 | − | 0.620851i | \(-0.786787\pi\) |
0.996087 | + | 0.0883728i | \(0.0281667\pi\) | |||||||
\(930\) | 10.7688 | + | 3.62843i | 0.353123 | + | 0.118981i | ||||
\(931\) | 6.97512 | + | 0.758590i | 0.228600 | + | 0.0248618i | ||||
\(932\) | 10.7192 | − | 4.95925i | 0.351121 | − | 0.162446i | ||||
\(933\) | −4.52236 | − | 4.28381i | −0.148056 | − | 0.140246i | ||||
\(934\) | 19.0728 | − | 11.4757i | 0.624082 | − | 0.375498i | ||||
\(935\) | −0.267640 | + | 0.0291076i | −0.00875275 | + | 0.000951919i | ||||
\(936\) | 3.30669 | + | 0.727858i | 0.108083 | + | 0.0237908i | ||||
\(937\) | −3.22378 | − | 11.6110i | −0.105316 | − | 0.379315i | 0.892042 | − | 0.451952i | \(-0.149272\pi\) |
−0.997358 | + | 0.0726371i | \(0.976859\pi\) | |||||||
\(938\) | −34.7249 | − | 20.8933i | −1.13381 | − | 0.682190i | ||||
\(939\) | 27.7729 | + | 12.8491i | 0.906333 | + | 0.419314i | ||||
\(940\) | −11.7150 | − | 29.4024i | −0.382100 | − | 0.959000i | ||||
\(941\) | −2.28733 | − | 42.1873i | −0.0745647 | − | 1.37527i | −0.761320 | − | 0.648377i | \(-0.775448\pi\) |
0.686755 | − | 0.726889i | \(-0.259035\pi\) | |||||||
\(942\) | −1.87714 | + | 2.76857i | −0.0611605 | + | 0.0902050i | ||||
\(943\) | −1.69044 | −0.0550484 | ||||||||
\(944\) | 2.34919 | − | 7.31309i | 0.0764596 | − | 0.238021i | ||||
\(945\) | 9.77552 | 0.317998 | ||||||||
\(946\) | 0.821746 | − | 1.21198i | 0.0267173 | − | 0.0394050i | ||||
\(947\) | −0.568997 | − | 10.4945i | −0.0184899 | − | 0.341026i | −0.993112 | − | 0.117169i | \(-0.962618\pi\) |
0.974622 | − | 0.223857i | \(-0.0718648\pi\) | |||||||
\(948\) | −3.55642 | − | 8.92594i | −0.115507 | − | 0.289901i | ||||
\(949\) | 29.4172 | + | 13.6098i | 0.954922 | + | 0.441794i | ||||
\(950\) | −9.03103 | − | 5.43379i | −0.293005 | − | 0.176295i | ||||
\(951\) | −0.0438873 | − | 0.158068i | −0.00142314 | − | 0.00512570i | ||||
\(952\) | 2.25325 | + | 0.495977i | 0.0730281 | + | 0.0160747i | ||||
\(953\) | −26.9839 | + | 2.93467i | −0.874093 | + | 0.0950634i | −0.534157 | − | 0.845385i | \(-0.679371\pi\) |
−0.339936 | + | 0.940449i | \(0.610405\pi\) | |||||||
\(954\) | −9.53747 | + | 5.73850i | −0.308787 | + | 0.185791i | ||||
\(955\) | −10.3548 | − | 9.80858i | −0.335073 | − | 0.317398i | ||||
\(956\) | −25.0628 | + | 11.5953i | −0.810590 | + | 0.375019i | ||||
\(957\) | −0.475706 | − | 0.0517361i | −0.0153774 | − | 0.00167239i | ||||
\(958\) | 1.29684 | + | 0.436958i | 0.0418991 | + | 0.0141175i | ||||
\(959\) | 10.0537 | − | 25.2330i | 0.324652 | − | 0.814815i | ||||
\(960\) | 2.24200 | − | 2.12374i | 0.0723603 | − | 0.0685434i | ||||
\(961\) | −4.67094 | + | 16.8232i | −0.150676 | + | 0.542684i | ||||
\(962\) | −5.67718 | + | 10.7083i | −0.183040 | + | 0.345250i | ||||
\(963\) | 0.0458304 | + | 0.0348393i | 0.00147686 | + | 0.00112268i | ||||
\(964\) | 0.687982 | − | 12.6891i | 0.0221584 | − | 0.408688i | ||||
\(965\) | 6.28405 | − | 2.11734i | 0.202291 | − | 0.0681597i | ||||
\(966\) | 3.08752 | − | 0.679615i | 0.0993394 | − | 0.0218663i | ||||
\(967\) | −13.2371 | − | 24.9679i | −0.425677 | − | 0.802912i | 0.574198 | − | 0.818716i | \(-0.305314\pi\) |
−0.999875 | + | 0.0158043i | \(0.994969\pi\) | |||||||
\(968\) | −1.77729 | + | 10.8410i | −0.0571242 | + | 0.348442i | ||||
\(969\) | 1.09618 | + | 1.29053i | 0.0352145 | + | 0.0414577i | ||||
\(970\) | −24.9559 | + | 29.3804i | −0.801286 | + | 0.943347i | ||||
\(971\) | 1.50740 | + | 9.19473i | 0.0483748 | + | 0.295073i | 0.999923 | − | 0.0124272i | \(-0.00395581\pi\) |
−0.951548 | + | 0.307500i | \(0.900508\pi\) | |||||||
\(972\) | −0.796093 | + | 0.605174i | −0.0255347 | + | 0.0194110i | ||||
\(973\) | 6.19952 | + | 9.14361i | 0.198748 | + | 0.293131i | ||||
\(974\) | 3.19799 | + | 4.71669i | 0.102470 | + | 0.151132i | ||||
\(975\) | 12.2288 | − | 9.29613i | 0.391637 | − | 0.297714i | ||||
\(976\) | −1.84729 | − | 11.2680i | −0.0591302 | − | 0.360678i | ||||
\(977\) | −26.6355 | + | 31.3577i | −0.852145 | + | 1.00322i | 0.147754 | + | 0.989024i | \(0.452796\pi\) |
−0.999899 | + | 0.0141988i | \(0.995480\pi\) | |||||||
\(978\) | 1.28518 | + | 1.51303i | 0.0410956 | + | 0.0483815i | ||||
\(979\) | −0.200508 | + | 1.22305i | −0.00640827 | + | 0.0390887i | ||||
\(980\) | 4.36875 | + | 8.24034i | 0.139555 | + | 0.263228i | ||||
\(981\) | 2.44195 | − | 0.537514i | 0.0779654 | − | 0.0171615i | ||||
\(982\) | 13.4869 | − | 4.54426i | 0.430384 | − | 0.145013i | ||||
\(983\) | 1.78969 | − | 33.0090i | 0.0570824 | − | 1.05282i | −0.819964 | − | 0.572416i | \(-0.806006\pi\) |
0.877046 | − | 0.480407i | \(-0.159511\pi\) | |||||||
\(984\) | 1.34747 | + | 1.02432i | 0.0429556 | + | 0.0326540i | ||||
\(985\) | 6.31232 | − | 11.9063i | 0.201127 | − | 0.379366i | ||||
\(986\) | 0.780100 | − | 2.80967i | 0.0248435 | − | 0.0894780i | ||||
\(987\) | −23.5530 | + | 22.3106i | −0.749701 | + | 0.710154i | ||||
\(988\) | −2.91143 | + | 7.30714i | −0.0926250 | + | 0.232471i | ||||
\(989\) | 11.5870 | + | 3.90410i | 0.368444 | + | 0.124143i | ||||
\(990\) | 0.367202 | + | 0.0399357i | 0.0116705 | + | 0.00126924i | ||||
\(991\) | 13.4851 | − | 6.23888i | 0.428369 | − | 0.198184i | −0.193845 | − | 0.981032i | \(-0.562096\pi\) |
0.622213 | + | 0.782848i | \(0.286234\pi\) | |||||||
\(992\) | −2.67146 | − | 2.53055i | −0.0848191 | − | 0.0803449i | ||||
\(993\) | −21.0609 | + | 12.6719i | −0.668349 | + | 0.402132i | ||||
\(994\) | −31.7873 | + | 3.45708i | −1.00823 | + | 0.109652i | ||||
\(995\) | −66.1028 | − | 14.5503i | −2.09560 | − | 0.461276i | ||||
\(996\) | −3.22244 | − | 11.6062i | −0.102107 | − | 0.367756i | ||||
\(997\) | −48.0791 | − | 28.9282i | −1.52268 | − | 0.916166i | −0.997890 | − | 0.0649348i | \(-0.979316\pi\) |
−0.524791 | − | 0.851231i | \(-0.675856\pi\) | |||||||
\(998\) | −35.8177 | − | 16.5710i | −1.13379 | − | 0.524547i | ||||
\(999\) | −1.32496 | − | 3.32541i | −0.0419200 | − | 0.105211i |
(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 | 354.2.e.b.253.2 | yes | 56 | |
59.7 | even | 29 | inner | 354.2.e.b.7.2 | ✓ | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
354.2.e.b.7.2 | ✓ | 56 | 59.7 | even | 29 | inner | |
354.2.e.b.253.2 | yes | 56 | 1.1 | even | 1 | trivial |