Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [75,3,Mod(13,75)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(75, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 19]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("75.13");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 75 = 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 75.k (of order \(20\), degree \(8\), 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: | \(2.04360198270\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 37.3 | ||
Character | \(\chi\) | \(=\) | 75.37 |
Dual form | 75.3.k.a.73.3 |
$q$-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 \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).
\(n\) | \(26\) | \(52\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{9}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.224472 | − | 1.41726i | −0.112236 | − | 0.708631i | −0.978066 | − | 0.208293i | \(-0.933209\pi\) |
0.865830 | − | 0.500338i | \(-0.166791\pi\) | |||||||
\(3\) | −1.54327 | − | 0.786335i | −0.514423 | − | 0.262112i | ||||
\(4\) | 1.84598 | − | 0.599796i | 0.461496 | − | 0.149949i | ||||
\(5\) | −3.76307 | − | 3.29231i | −0.752615 | − | 0.658461i | ||||
\(6\) | −0.768021 | + | 2.36373i | −0.128004 | + | 0.393954i | ||||
\(7\) | −1.57196 | − | 1.57196i | −0.224565 | − | 0.224565i | 0.585853 | − | 0.810418i | \(-0.300760\pi\) |
−0.810418 | + | 0.585853i | \(0.800760\pi\) | |||||||
\(8\) | −3.87022 | − | 7.59573i | −0.483777 | − | 0.949466i | ||||
\(9\) | 1.76336 | + | 2.42705i | 0.195928 | + | 0.269672i | ||||
\(10\) | −3.82136 | + | 6.07229i | −0.382136 | + | 0.607229i | ||||
\(11\) | −2.65478 | − | 1.92881i | −0.241344 | − | 0.175347i | 0.460538 | − | 0.887640i | \(-0.347657\pi\) |
−0.701882 | + | 0.712293i | \(0.747657\pi\) | |||||||
\(12\) | −3.32049 | − | 0.525913i | −0.276707 | − | 0.0438261i | ||||
\(13\) | 1.08721 | − | 6.86438i | 0.0836316 | − | 0.528029i | −0.909932 | − | 0.414757i | \(-0.863867\pi\) |
0.993564 | − | 0.113272i | \(-0.0361333\pi\) | |||||||
\(14\) | −1.87501 | + | 2.58073i | −0.133929 | + | 0.184338i | ||||
\(15\) | 3.21858 | + | 8.03995i | 0.214572 | + | 0.535997i | ||||
\(16\) | −3.61523 | + | 2.62662i | −0.225952 | + | 0.164164i | ||||
\(17\) | 0.0769625 | − | 0.0392144i | 0.00452721 | − | 0.00230673i | −0.451725 | − | 0.892157i | \(-0.649191\pi\) |
0.456253 | + | 0.889850i | \(0.349191\pi\) | |||||||
\(18\) | 3.04394 | − | 3.04394i | 0.169108 | − | 0.169108i | ||||
\(19\) | 30.3208 | + | 9.85181i | 1.59583 | + | 0.518516i | 0.966071 | − | 0.258275i | \(-0.0831540\pi\) |
0.629758 | + | 0.776791i | \(0.283154\pi\) | |||||||
\(20\) | −8.92128 | − | 3.82046i | −0.446064 | − | 0.191023i | ||||
\(21\) | 1.18987 | + | 3.66203i | 0.0566603 | + | 0.174382i | ||||
\(22\) | −2.13771 | + | 4.19549i | −0.0971685 | + | 0.190704i | ||||
\(23\) | 26.6636 | − | 4.22310i | 1.15929 | − | 0.183613i | 0.452981 | − | 0.891520i | \(-0.350360\pi\) |
0.706306 | + | 0.707907i | \(0.250360\pi\) | |||||||
\(24\) | 14.7655i | 0.615230i | ||||||||
\(25\) | 3.32143 | + | 24.7784i | 0.132857 | + | 0.991135i | ||||
\(26\) | −9.97267 | −0.383564 | ||||||||
\(27\) | −0.812857 | − | 5.13218i | −0.0301058 | − | 0.190081i | ||||
\(28\) | −3.84465 | − | 1.95895i | −0.137309 | − | 0.0699625i | ||||
\(29\) | 33.6464 | − | 10.9324i | 1.16022 | − | 0.376978i | 0.335236 | − | 0.942134i | \(-0.391184\pi\) |
0.824984 | + | 0.565156i | \(0.191184\pi\) | |||||||
\(30\) | 10.6722 | − | 6.36631i | 0.355741 | − | 0.212210i | ||||
\(31\) | 2.05994 | − | 6.33986i | 0.0664498 | − | 0.204511i | −0.912318 | − | 0.409481i | \(-0.865710\pi\) |
0.978768 | + | 0.204970i | \(0.0657097\pi\) | |||||||
\(32\) | −19.5779 | − | 19.5779i | −0.611809 | − | 0.611809i | ||||
\(33\) | 2.58035 | + | 5.06422i | 0.0781924 | + | 0.153461i | ||||
\(34\) | −0.0728530 | − | 0.100274i | −0.00214274 | − | 0.00294922i | ||||
\(35\) | 0.740023 | + | 11.0907i | 0.0211435 | + | 0.316878i | ||||
\(36\) | 4.71086 | + | 3.42264i | 0.130857 | + | 0.0950733i | ||||
\(37\) | −26.2508 | − | 4.15773i | −0.709482 | − | 0.112371i | −0.208745 | − | 0.977970i | \(-0.566938\pi\) |
−0.500737 | + | 0.865599i | \(0.666938\pi\) | |||||||
\(38\) | 7.15643 | − | 45.1839i | 0.188327 | − | 1.18905i | ||||
\(39\) | −7.07556 | + | 9.73867i | −0.181425 | + | 0.249709i | ||||
\(40\) | −10.4436 | + | 41.3252i | −0.261089 | + | 1.03313i | ||||
\(41\) | −53.2182 | + | 38.6653i | −1.29800 | + | 0.943056i | −0.999934 | − | 0.0114880i | \(-0.996343\pi\) |
−0.298071 | + | 0.954544i | \(0.596343\pi\) | |||||||
\(42\) | 4.92297 | − | 2.50838i | 0.117213 | − | 0.0597233i | ||||
\(43\) | −10.6913 | + | 10.6913i | −0.248635 | + | 0.248635i | −0.820410 | − | 0.571775i | \(-0.806255\pi\) |
0.571775 | + | 0.820410i | \(0.306255\pi\) | |||||||
\(44\) | −6.05757 | − | 1.96822i | −0.137672 | − | 0.0447324i | ||||
\(45\) | 1.35496 | − | 14.9387i | 0.0301102 | − | 0.331971i | ||||
\(46\) | −11.9705 | − | 36.8413i | −0.260228 | − | 0.800899i | ||||
\(47\) | −8.60750 | + | 16.8932i | −0.183138 | + | 0.359429i | −0.964263 | − | 0.264945i | \(-0.914646\pi\) |
0.781125 | + | 0.624374i | \(0.214646\pi\) | |||||||
\(48\) | 7.64468 | − | 1.21080i | 0.159264 | − | 0.0252250i | ||||
\(49\) | − | 44.0579i | − | 0.899141i | ||||||
\(50\) | 34.3719 | − | 10.2694i | 0.687438 | − | 0.205388i | ||||
\(51\) | −0.149609 | −0.00293352 | ||||||||
\(52\) | −2.11025 | − | 13.3236i | −0.0405818 | − | 0.256224i | ||||
\(53\) | 53.8293 | + | 27.4274i | 1.01565 | + | 0.517498i | 0.880860 | − | 0.473377i | \(-0.156965\pi\) |
0.134787 | + | 0.990875i | \(0.456965\pi\) | |||||||
\(54\) | −7.09118 | + | 2.30406i | −0.131318 | + | 0.0426678i | ||||
\(55\) | 3.63990 | + | 15.9986i | 0.0661799 | + | 0.290884i | ||||
\(56\) | −5.85633 | + | 18.0239i | −0.104577 | + | 0.321856i | ||||
\(57\) | −39.0463 | − | 39.0463i | −0.685022 | − | 0.685022i | ||||
\(58\) | −23.0467 | − | 45.2317i | −0.397357 | − | 0.779857i | ||||
\(59\) | −26.7005 | − | 36.7501i | −0.452551 | − | 0.622882i | 0.520393 | − | 0.853927i | \(-0.325786\pi\) |
−0.972943 | + | 0.231045i | \(0.925786\pi\) | |||||||
\(60\) | 10.7638 | + | 12.9111i | 0.179396 | + | 0.215185i | ||||
\(61\) | −58.1403 | − | 42.2414i | −0.953119 | − | 0.692482i | −0.00157682 | − | 0.999999i | \(-0.500502\pi\) |
−0.951543 | + | 0.307517i | \(0.900502\pi\) | |||||||
\(62\) | −9.44764 | − | 1.49636i | −0.152381 | − | 0.0241348i | ||||
\(63\) | 1.04330 | − | 6.58713i | 0.0165603 | − | 0.104558i | ||||
\(64\) | −33.8588 | + | 46.6026i | −0.529043 | + | 0.728166i | ||||
\(65\) | −26.6909 | + | 22.2517i | −0.410629 | + | 0.342334i | ||||
\(66\) | 6.59811 | − | 4.79381i | 0.0999714 | − | 0.0726335i | ||||
\(67\) | 114.761 | − | 58.4735i | 1.71285 | − | 0.872739i | 0.731167 | − | 0.682199i | \(-0.238976\pi\) |
0.981679 | − | 0.190540i | \(-0.0610239\pi\) | |||||||
\(68\) | 0.118551 | − | 0.118551i | 0.00174339 | − | 0.00174339i | ||||
\(69\) | −44.4699 | − | 14.4491i | −0.644491 | − | 0.209408i | ||||
\(70\) | 15.5524 | − | 3.53837i | 0.222177 | − | 0.0505481i | ||||
\(71\) | 23.5416 | + | 72.4536i | 0.331572 | + | 1.02047i | 0.968386 | + | 0.249456i | \(0.0802519\pi\) |
−0.636814 | + | 0.771018i | \(0.719748\pi\) | |||||||
\(72\) | 11.6106 | − | 22.7872i | 0.161259 | − | 0.316489i | ||||
\(73\) | −87.6813 | + | 13.8873i | −1.20111 | + | 0.190238i | −0.724751 | − | 0.689011i | \(-0.758045\pi\) |
−0.476363 | + | 0.879249i | \(0.658045\pi\) | |||||||
\(74\) | 38.1376i | 0.515373i | ||||||||
\(75\) | 14.3582 | − | 40.8515i | 0.191443 | − | 0.544686i | ||||
\(76\) | 61.8807 | 0.814219 | ||||||||
\(77\) | 1.14119 | + | 7.20520i | 0.0148207 | + | 0.0935741i | ||||
\(78\) | 15.3905 | + | 7.84186i | 0.197314 | + | 0.100537i | ||||
\(79\) | 136.696 | − | 44.4152i | 1.73033 | − | 0.562218i | 0.736831 | − | 0.676077i | \(-0.236321\pi\) |
0.993497 | + | 0.113860i | \(0.0363215\pi\) | |||||||
\(80\) | 22.2520 | + | 2.01829i | 0.278150 | + | 0.0252287i | ||||
\(81\) | −2.78115 | + | 8.55951i | −0.0343352 | + | 0.105673i | ||||
\(82\) | 66.7449 | + | 66.7449i | 0.813962 | + | 0.813962i | ||||
\(83\) | 66.3235 | + | 130.167i | 0.799079 | + | 1.56828i | 0.822643 | + | 0.568558i | \(0.192498\pi\) |
−0.0235646 | + | 0.999722i | \(0.507502\pi\) | |||||||
\(84\) | 4.39294 | + | 6.04637i | 0.0522970 | + | 0.0719806i | ||||
\(85\) | −0.418721 | − | 0.105818i | −0.00492613 | − | 0.00124491i | ||||
\(86\) | 17.5523 | + | 12.7525i | 0.204096 | + | 0.148285i | ||||
\(87\) | −60.5219 | − | 9.58572i | −0.695654 | − | 0.110181i | ||||
\(88\) | −4.37615 | + | 27.6299i | −0.0497290 | + | 0.313976i | ||||
\(89\) | −35.3179 | + | 48.6109i | −0.396830 | + | 0.546190i | −0.959945 | − | 0.280189i | \(-0.909603\pi\) |
0.563115 | + | 0.826379i | \(0.309603\pi\) | |||||||
\(90\) | −21.4762 | + | 1.43298i | −0.238624 | + | 0.0159220i | ||||
\(91\) | −12.4995 | + | 9.08145i | −0.137358 | + | 0.0997961i | ||||
\(92\) | 46.6875 | − | 23.7885i | 0.507473 | − | 0.258570i | ||||
\(93\) | −8.16429 | + | 8.16429i | −0.0877881 | + | 0.0877881i | ||||
\(94\) | 25.8742 | + | 8.40703i | 0.275257 | + | 0.0894365i | ||||
\(95\) | −81.6640 | − | 136.898i | −0.859621 | − | 1.44104i | ||||
\(96\) | 14.8192 | + | 45.6087i | 0.154366 | + | 0.475090i | ||||
\(97\) | −59.3549 | + | 116.490i | −0.611906 | + | 1.20093i | 0.352327 | + | 0.935877i | \(0.385390\pi\) |
−0.964233 | + | 0.265056i | \(0.914610\pi\) | |||||||
\(98\) | −62.4416 | + | 9.88978i | −0.637159 | + | 0.100916i | ||||
\(99\) | − | 9.84447i | − | 0.0994391i | ||||||
\(100\) | 20.9933 | + | 43.7483i | 0.209933 | + | 0.437483i | ||||
\(101\) | 65.2078 | 0.645622 | 0.322811 | − | 0.946464i | \(-0.395372\pi\) | ||||
0.322811 | + | 0.946464i | \(0.395372\pi\) | |||||||
\(102\) | 0.0335832 | + | 0.212036i | 0.000329247 | + | 0.00207878i | ||||
\(103\) | −62.1063 | − | 31.6447i | −0.602974 | − | 0.307230i | 0.125725 | − | 0.992065i | \(-0.459874\pi\) |
−0.728698 | + | 0.684835i | \(0.759874\pi\) | |||||||
\(104\) | −56.3477 | + | 18.3085i | −0.541805 | + | 0.176043i | ||||
\(105\) | 7.57898 | − | 17.6979i | 0.0721808 | − | 0.168551i | ||||
\(106\) | 26.7886 | − | 82.4469i | 0.252723 | − | 0.777801i | ||||
\(107\) | 50.9651 | + | 50.9651i | 0.476310 | + | 0.476310i | 0.903949 | − | 0.427640i | \(-0.140655\pi\) |
−0.427640 | + | 0.903949i | \(0.640655\pi\) | |||||||
\(108\) | −4.57878 | − | 8.98636i | −0.0423961 | − | 0.0832071i | ||||
\(109\) | −58.9479 | − | 81.1348i | −0.540807 | − | 0.744356i | 0.447922 | − | 0.894072i | \(-0.352164\pi\) |
−0.988729 | + | 0.149716i | \(0.952164\pi\) | |||||||
\(110\) | 21.8572 | − | 8.74993i | 0.198702 | − | 0.0795448i | ||||
\(111\) | 37.2427 | + | 27.0584i | 0.335520 | + | 0.243770i | ||||
\(112\) | 9.81191 | + | 1.55405i | 0.0876064 | + | 0.0138755i | ||||
\(113\) | 2.63188 | − | 16.6171i | 0.0232910 | − | 0.147054i | −0.973302 | − | 0.229527i | \(-0.926282\pi\) |
0.996593 | + | 0.0824736i | \(0.0262820\pi\) | |||||||
\(114\) | −46.5740 | + | 64.1036i | −0.408544 | + | 0.562312i | ||||
\(115\) | −114.241 | − | 71.8929i | −0.993398 | − | 0.625156i | ||||
\(116\) | 55.5534 | − | 40.3619i | 0.478909 | − | 0.347947i | ||||
\(117\) | 18.5773 | − | 9.46562i | 0.158781 | − | 0.0809028i | ||||
\(118\) | −46.0910 | + | 46.0910i | −0.390601 | + | 0.390601i | ||||
\(119\) | −0.182625 | − | 0.0593384i | −0.00153466 | − | 0.000498642i | ||||
\(120\) | 48.6126 | − | 55.5638i | 0.405105 | − | 0.463031i | ||||
\(121\) | −34.0635 | − | 104.837i | −0.281517 | − | 0.866419i | ||||
\(122\) | −46.8162 | + | 91.8820i | −0.383740 | + | 0.753131i | ||||
\(123\) | 112.534 | − | 17.8236i | 0.914909 | − | 0.144907i | ||||
\(124\) | − | 12.9388i | − | 0.104345i | ||||||
\(125\) | 69.0792 | − | 104.178i | 0.552634 | − | 0.833424i | ||||
\(126\) | −9.56988 | −0.0759515 | ||||||||
\(127\) | 29.9804 | + | 189.289i | 0.236066 | + | 1.49046i | 0.766229 | + | 0.642568i | \(0.222131\pi\) |
−0.530162 | + | 0.847896i | \(0.677869\pi\) | |||||||
\(128\) | −25.0298 | − | 12.7533i | −0.195545 | − | 0.0996353i | ||||
\(129\) | 24.9065 | − | 8.09261i | 0.193074 | − | 0.0627334i | ||||
\(130\) | 37.5279 | + | 32.8331i | 0.288676 | + | 0.252562i | ||||
\(131\) | 66.1552 | − | 203.605i | 0.505001 | − | 1.55423i | −0.295767 | − | 0.955260i | \(-0.595575\pi\) |
0.800768 | − | 0.598974i | \(-0.204425\pi\) | |||||||
\(132\) | 7.80078 | + | 7.80078i | 0.0590968 | + | 0.0590968i | ||||
\(133\) | −32.1763 | − | 63.1495i | −0.241927 | − | 0.474808i | ||||
\(134\) | −108.633 | − | 149.520i | −0.810693 | − | 1.11582i | ||||
\(135\) | −13.8379 | + | 21.9889i | −0.102503 | + | 0.162881i | ||||
\(136\) | −0.595723 | − | 0.432818i | −0.00438032 | − | 0.00318249i | ||||
\(137\) | −93.9989 | − | 14.8880i | −0.686123 | − | 0.108671i | −0.196367 | − | 0.980531i | \(-0.562914\pi\) |
−0.489757 | + | 0.871859i | \(0.662914\pi\) | |||||||
\(138\) | −10.4960 | + | 66.2689i | −0.0760577 | + | 0.480209i | ||||
\(139\) | −23.4198 | + | 32.2346i | −0.168488 | + | 0.231904i | −0.884908 | − | 0.465765i | \(-0.845779\pi\) |
0.716421 | + | 0.697669i | \(0.245779\pi\) | |||||||
\(140\) | 8.01825 | + | 20.0294i | 0.0572732 | + | 0.143067i | ||||
\(141\) | 26.5674 | − | 19.3023i | 0.188421 | − | 0.136896i | ||||
\(142\) | 97.4014 | − | 49.6285i | 0.685925 | − | 0.349496i | ||||
\(143\) | −16.1264 | + | 16.1264i | −0.112772 | + | 0.112772i | ||||
\(144\) | −12.7499 | − | 4.14269i | −0.0885408 | − | 0.0287687i | ||||
\(145\) | −162.606 | − | 69.6349i | −1.12142 | − | 0.480240i | ||||
\(146\) | 39.3640 | + | 121.150i | 0.269617 | + | 0.829795i | ||||
\(147\) | −34.6443 | + | 67.9932i | −0.235675 | + | 0.462539i | ||||
\(148\) | −50.9524 | + | 8.07006i | −0.344273 | + | 0.0545275i | ||||
\(149\) | 80.0934i | 0.537540i | 0.963204 | + | 0.268770i | \(0.0866171\pi\) | ||||
−0.963204 | + | 0.268770i | \(0.913383\pi\) | |||||||
\(150\) | −61.1202 | − | 11.1794i | −0.407468 | − | 0.0745291i | ||||
\(151\) | 24.3022 | 0.160941 | 0.0804707 | − | 0.996757i | \(-0.474358\pi\) | ||||
0.0804707 | + | 0.996757i | \(0.474358\pi\) | |||||||
\(152\) | −42.5162 | − | 268.437i | −0.279712 | − | 1.76603i | ||||
\(153\) | 0.230888 | + | 0.117643i | 0.00150907 | + | 0.000768909i | ||||
\(154\) | 9.95550 | − | 3.23474i | 0.0646461 | − | 0.0210048i | ||||
\(155\) | −28.6245 | + | 17.0754i | −0.184674 | + | 0.110164i | ||||
\(156\) | −7.22014 | + | 22.2213i | −0.0462829 | + | 0.142444i | ||||
\(157\) | 79.6697 | + | 79.6697i | 0.507451 | + | 0.507451i | 0.913743 | − | 0.406292i | \(-0.133179\pi\) |
−0.406292 | + | 0.913743i | \(0.633179\pi\) | |||||||
\(158\) | −93.6324 | − | 183.764i | −0.592610 | − | 1.16306i | ||||
\(159\) | −61.5059 | − | 84.6556i | −0.386830 | − | 0.532425i | ||||
\(160\) | 9.21660 | + | 138.129i | 0.0576037 | + | 0.863309i | ||||
\(161\) | −48.5525 | − | 35.2755i | −0.301568 | − | 0.219102i | ||||
\(162\) | 12.7554 | + | 2.02025i | 0.0787368 | + | 0.0124707i | ||||
\(163\) | −33.3800 | + | 210.753i | −0.204785 | + | 1.29296i | 0.644326 | + | 0.764751i | \(0.277138\pi\) |
−0.849112 | + | 0.528213i | \(0.822862\pi\) | |||||||
\(164\) | −75.0486 | + | 103.295i | −0.457613 | + | 0.629851i | ||||
\(165\) | 6.96293 | − | 27.5523i | 0.0421996 | − | 0.166984i | ||||
\(166\) | 169.593 | − | 123.217i | 1.02165 | − | 0.742270i | ||||
\(167\) | −27.5199 | + | 14.0221i | −0.164790 | + | 0.0839645i | −0.534440 | − | 0.845206i | \(-0.679477\pi\) |
0.369650 | + | 0.929171i | \(0.379477\pi\) | |||||||
\(168\) | 23.2107 | − | 23.2107i | 0.138159 | − | 0.138159i | ||||
\(169\) | 114.791 | + | 37.2978i | 0.679236 | + | 0.220697i | ||||
\(170\) | −0.0559802 | + | 0.617191i | −0.000329295 | + | 0.00363054i | ||||
\(171\) | 29.5554 | + | 90.9623i | 0.172839 | + | 0.531943i | ||||
\(172\) | −13.3234 | + | 26.1486i | −0.0774614 | + | 0.152027i | ||||
\(173\) | 84.3603 | − | 13.3614i | 0.487632 | − | 0.0772333i | 0.0922226 | − | 0.995738i | \(-0.470603\pi\) |
0.395409 | + | 0.918505i | \(0.370603\pi\) | |||||||
\(174\) | 87.9271i | 0.505328i | ||||||||
\(175\) | 33.7294 | − | 44.1716i | 0.192739 | − | 0.252409i | ||||
\(176\) | 14.6639 | 0.0833177 | ||||||||
\(177\) | 12.3082 | + | 77.7107i | 0.0695377 | + | 0.439044i | ||||
\(178\) | 76.8223 | + | 39.1429i | 0.431586 | + | 0.219904i | ||||
\(179\) | 29.3539 | − | 9.53765i | 0.163988 | − | 0.0532830i | −0.225872 | − | 0.974157i | \(-0.572523\pi\) |
0.389860 | + | 0.920874i | \(0.372523\pi\) | |||||||
\(180\) | −6.45892 | − | 28.3892i | −0.0358829 | − | 0.157718i | ||||
\(181\) | −69.8971 | + | 215.121i | −0.386172 | + | 1.18851i | 0.549455 | + | 0.835523i | \(0.314835\pi\) |
−0.935627 | + | 0.352991i | \(0.885165\pi\) | |||||||
\(182\) | 15.6766 | + | 15.6766i | 0.0861351 | + | 0.0861351i | ||||
\(183\) | 56.5102 | + | 110.908i | 0.308799 | + | 0.606052i | ||||
\(184\) | −135.271 | − | 186.185i | −0.735170 | − | 1.01188i | ||||
\(185\) | 85.0953 | + | 102.072i | 0.459975 | + | 0.551739i | ||||
\(186\) | 13.4036 | + | 9.73829i | 0.0720624 | + | 0.0523564i | ||||
\(187\) | −0.279956 | − | 0.0443407i | −0.00149709 | − | 0.000237116i | ||||
\(188\) | −5.75683 | + | 36.3472i | −0.0306215 | + | 0.193336i | ||||
\(189\) | −6.78978 | + | 9.34533i | −0.0359248 | + | 0.0494462i | ||||
\(190\) | −175.689 | + | 146.469i | −0.924682 | + | 0.770891i | ||||
\(191\) | −32.9654 | + | 23.9507i | −0.172593 | + | 0.125397i | −0.670728 | − | 0.741703i | \(-0.734018\pi\) |
0.498135 | + | 0.867100i | \(0.334018\pi\) | |||||||
\(192\) | 88.8984 | − | 45.2960i | 0.463013 | − | 0.235917i | ||||
\(193\) | 166.613 | − | 166.613i | 0.863279 | − | 0.863279i | −0.128438 | − | 0.991717i | \(-0.540996\pi\) |
0.991717 | + | 0.128438i | \(0.0409965\pi\) | |||||||
\(194\) | 178.421 | + | 57.9725i | 0.919696 | + | 0.298827i | ||||
\(195\) | 58.6885 | − | 13.3524i | 0.300967 | − | 0.0684739i | ||||
\(196\) | −26.4258 | − | 81.3301i | −0.134825 | − | 0.414950i | ||||
\(197\) | −11.6312 | + | 22.8275i | −0.0590415 | + | 0.115875i | −0.918642 | − | 0.395092i | \(-0.870713\pi\) |
0.859600 | + | 0.510967i | \(0.170713\pi\) | |||||||
\(198\) | −13.9522 | + | 2.20981i | −0.0704656 | + | 0.0111607i | ||||
\(199\) | 106.010i | 0.532713i | 0.963875 | + | 0.266357i | \(0.0858199\pi\) | ||||
−0.963875 | + | 0.266357i | \(0.914180\pi\) | |||||||
\(200\) | 175.355 | − | 121.126i | 0.876776 | − | 0.605632i | ||||
\(201\) | −223.086 | −1.10988 | ||||||||
\(202\) | −14.6373 | − | 92.4165i | −0.0724621 | − | 0.457507i | ||||
\(203\) | −70.0758 | − | 35.7054i | −0.345201 | − | 0.175889i | ||||
\(204\) | −0.276176 | + | 0.0897352i | −0.00135381 | + | 0.000439878i | ||||
\(205\) | 327.562 | + | 29.7104i | 1.59786 | + | 0.144929i | ||||
\(206\) | −30.9077 | + | 95.1242i | −0.150038 | + | 0.461768i | ||||
\(207\) | 57.2671 | + | 57.2671i | 0.276653 | + | 0.276653i | ||||
\(208\) | 14.0996 | + | 27.6720i | 0.0677865 | + | 0.133039i | ||||
\(209\) | −61.4927 | − | 84.6375i | −0.294223 | − | 0.404964i | ||||
\(210\) | −26.7838 | − | 6.76871i | −0.127542 | − | 0.0322320i | ||||
\(211\) | 33.9133 | + | 24.6394i | 0.160726 | + | 0.116775i | 0.665241 | − | 0.746628i | \(-0.268329\pi\) |
−0.504515 | + | 0.863403i | \(0.668329\pi\) | |||||||
\(212\) | 115.819 | + | 18.3439i | 0.546315 | + | 0.0865277i | ||||
\(213\) | 20.6418 | − | 130.327i | 0.0969097 | − | 0.611864i | ||||
\(214\) | 60.7907 | − | 83.6712i | 0.284069 | − | 0.390987i | ||||
\(215\) | 75.4312 | − | 5.03310i | 0.350843 | − | 0.0234098i | ||||
\(216\) | −35.8367 | + | 26.0369i | −0.165911 | + | 0.120541i | ||||
\(217\) | −13.2041 | + | 6.72783i | −0.0608484 | + | 0.0310038i | ||||
\(218\) | −101.757 | + | 101.757i | −0.466776 | + | 0.466776i | ||||
\(219\) | 146.236 | + | 47.5149i | 0.667744 | + | 0.216963i | ||||
\(220\) | 16.3151 | + | 27.3500i | 0.0741595 | + | 0.124318i | ||||
\(221\) | −0.185508 | − | 0.570934i | −0.000839402 | − | 0.00258341i | ||||
\(222\) | 29.9889 | − | 58.8566i | 0.135085 | − | 0.265120i | ||||
\(223\) | 70.9316 | − | 11.2345i | 0.318079 | − | 0.0503788i | 0.00464637 | − | 0.999989i | \(-0.498521\pi\) |
0.313433 | + | 0.949610i | \(0.398521\pi\) | |||||||
\(224\) | 61.5511i | 0.274782i | ||||||||
\(225\) | −54.2815 | + | 51.7544i | −0.241251 | + | 0.230019i | ||||
\(226\) | −24.1415 | −0.106821 | ||||||||
\(227\) | −63.7589 | − | 402.558i | −0.280876 | − | 1.77338i | −0.575533 | − | 0.817779i | \(-0.695205\pi\) |
0.294657 | − | 0.955603i | \(-0.404795\pi\) | |||||||
\(228\) | −95.4985 | − | 48.6589i | −0.418853 | − | 0.213416i | ||||
\(229\) | 285.985 | − | 92.9223i | 1.24884 | − | 0.405774i | 0.391338 | − | 0.920247i | \(-0.372012\pi\) |
0.857507 | + | 0.514473i | \(0.172012\pi\) | |||||||
\(230\) | −76.2472 | + | 178.047i | −0.331510 | + | 0.774118i | ||||
\(231\) | 3.90454 | − | 12.0169i | 0.0169028 | − | 0.0520213i | ||||
\(232\) | −213.258 | − | 213.258i | −0.919215 | − | 0.919215i | ||||
\(233\) | 76.9510 | + | 151.025i | 0.330262 | + | 0.648176i | 0.995107 | − | 0.0988059i | \(-0.0315023\pi\) |
−0.664845 | + | 0.746982i | \(0.731502\pi\) | |||||||
\(234\) | −17.5854 | − | 24.2042i | −0.0751511 | − | 0.103437i | ||||
\(235\) | 88.0081 | − | 35.2317i | 0.374503 | − | 0.149922i | ||||
\(236\) | −71.3312 | − | 51.8251i | −0.302251 | − | 0.219598i | ||||
\(237\) | −245.884 | − | 38.9441i | −1.03748 | − | 0.164321i | ||||
\(238\) | −0.0431039 | + | 0.272147i | −0.000181109 | + | 0.00114348i | ||||
\(239\) | −153.985 | + | 211.943i | −0.644290 | + | 0.886789i | −0.998835 | − | 0.0482498i | \(-0.984636\pi\) |
0.354545 | + | 0.935039i | \(0.384636\pi\) | |||||||
\(240\) | −32.7538 | − | 20.6123i | −0.136474 | − | 0.0858846i | ||||
\(241\) | −384.321 | + | 279.225i | −1.59469 | + | 1.15861i | −0.697864 | + | 0.716230i | \(0.745866\pi\) |
−0.896827 | + | 0.442381i | \(0.854134\pi\) | |||||||
\(242\) | −140.935 | + | 71.8098i | −0.582375 | + | 0.296735i | ||||
\(243\) | 11.0227 | − | 11.0227i | 0.0453609 | − | 0.0453609i | ||||
\(244\) | −132.662 | − | 43.1045i | −0.543697 | − | 0.176658i | ||||
\(245\) | −145.052 | + | 165.793i | −0.592050 | + | 0.676707i | ||||
\(246\) | −50.5214 | − | 155.489i | −0.205372 | − | 0.632069i | ||||
\(247\) | 100.592 | − | 197.422i | 0.407254 | − | 0.799280i | ||||
\(248\) | −56.1282 | + | 8.88984i | −0.226324 | + | 0.0358461i | ||||
\(249\) | − | 253.036i | − | 1.01621i | ||||||
\(250\) | −163.154 | − | 74.5183i | −0.652616 | − | 0.298073i | ||||
\(251\) | −162.145 | −0.645998 | −0.322999 | − | 0.946399i | \(-0.604691\pi\) | ||||
−0.322999 | + | 0.946399i | \(0.604691\pi\) | |||||||
\(252\) | −2.02502 | − | 12.7855i | −0.00803581 | − | 0.0507361i | ||||
\(253\) | −78.9316 | − | 40.2177i | −0.311983 | − | 0.158963i | ||||
\(254\) | 261.542 | − | 84.9802i | 1.02969 | − | 0.334568i | ||||
\(255\) | 0.562991 | + | 0.492560i | 0.00220781 | + | 0.00193161i | ||||
\(256\) | −83.6587 | + | 257.475i | −0.326792 | + | 1.00576i | ||||
\(257\) | 194.613 | + | 194.613i | 0.757250 | + | 0.757250i | 0.975821 | − | 0.218571i | \(-0.0701397\pi\) |
−0.218571 | + | 0.975821i | \(0.570140\pi\) | |||||||
\(258\) | −17.0602 | − | 33.4825i | −0.0661247 | − | 0.129777i | ||||
\(259\) | 34.7294 | + | 47.8009i | 0.134090 | + | 0.184559i | ||||
\(260\) | −35.9244 | + | 57.0854i | −0.138171 | + | 0.219559i | ||||
\(261\) | 85.8639 | + | 62.3838i | 0.328981 | + | 0.239018i | ||||
\(262\) | −303.411 | − | 48.0556i | −1.15806 | − | 0.183418i | ||||
\(263\) | 8.08718 | − | 51.0604i | 0.0307497 | − | 0.194146i | −0.967532 | − | 0.252750i | \(-0.918665\pi\) |
0.998281 | + | 0.0586040i | \(0.0186649\pi\) | |||||||
\(264\) | 28.4799 | − | 39.1993i | 0.107879 | − | 0.148482i | ||||
\(265\) | −112.264 | − | 280.434i | −0.423638 | − | 1.05824i | ||||
\(266\) | −82.2767 | + | 59.7775i | −0.309311 | + | 0.224727i | ||||
\(267\) | 92.7295 | − | 47.2480i | 0.347301 | − | 0.176959i | ||||
\(268\) | 176.774 | − | 176.774i | 0.659605 | − | 0.659605i | ||||
\(269\) | 144.928 | + | 47.0899i | 0.538765 | + | 0.175055i | 0.565744 | − | 0.824581i | \(-0.308589\pi\) |
−0.0269794 | + | 0.999636i | \(0.508589\pi\) | |||||||
\(270\) | 34.2703 | + | 14.6760i | 0.126927 | + | 0.0543555i | ||||
\(271\) | −67.0716 | − | 206.425i | −0.247497 | − | 0.761717i | −0.995216 | − | 0.0977016i | \(-0.968851\pi\) |
0.747719 | − | 0.664015i | \(-0.231149\pi\) | |||||||
\(272\) | −0.175236 | + | 0.343920i | −0.000644251 | + | 0.00126441i | ||||
\(273\) | 26.4312 | − | 4.18629i | 0.0968176 | − | 0.0153344i | ||||
\(274\) | 136.563i | 0.498405i | ||||||||
\(275\) | 38.9752 | − | 72.1876i | 0.141728 | − | 0.262500i | ||||
\(276\) | −90.7571 | −0.328830 | ||||||||
\(277\) | −34.9582 | − | 220.717i | −0.126203 | − | 0.796813i | −0.966872 | − | 0.255263i | \(-0.917838\pi\) |
0.840669 | − | 0.541550i | \(-0.182162\pi\) | |||||||
\(278\) | 50.9420 | + | 25.9562i | 0.183244 | + | 0.0933677i | ||||
\(279\) | 19.0196 | − | 6.17983i | 0.0681705 | − | 0.0221499i | ||||
\(280\) | 81.3782 | − | 48.5446i | 0.290636 | − | 0.173373i | ||||
\(281\) | 75.8100 | − | 233.319i | 0.269786 | − | 0.830317i | −0.720766 | − | 0.693179i | \(-0.756210\pi\) |
0.990552 | − | 0.137138i | \(-0.0437904\pi\) | |||||||
\(282\) | −33.3201 | − | 33.3201i | −0.118156 | − | 0.118156i | ||||
\(283\) | −23.3063 | − | 45.7411i | −0.0823543 | − | 0.161630i | 0.846157 | − | 0.532934i | \(-0.178911\pi\) |
−0.928511 | + | 0.371304i | \(0.878911\pi\) | |||||||
\(284\) | 86.9148 | + | 119.628i | 0.306038 | + | 0.421225i | ||||
\(285\) | 18.3816 | + | 275.486i | 0.0644970 | + | 0.966618i | ||||
\(286\) | 26.4753 | + | 19.2354i | 0.0925709 | + | 0.0672567i | ||||
\(287\) | 144.437 | + | 22.8765i | 0.503264 | + | 0.0797092i | ||||
\(288\) | 12.9937 | − | 82.0393i | 0.0451172 | − | 0.284859i | ||||
\(289\) | −169.866 | + | 233.800i | −0.587770 | + | 0.808996i | ||||
\(290\) | −62.1902 | + | 246.087i | −0.214449 | + | 0.848576i | ||||
\(291\) | 183.201 | − | 133.103i | 0.629557 | − | 0.457400i | ||||
\(292\) | −153.528 | + | 78.2267i | −0.525782 | + | 0.267900i | ||||
\(293\) | 237.590 | − | 237.590i | 0.810886 | − | 0.810886i | −0.173880 | − | 0.984767i | \(-0.555631\pi\) |
0.984767 | + | 0.173880i | \(0.0556306\pi\) | |||||||
\(294\) | 104.141 | + | 33.8374i | 0.354221 | + | 0.115093i | ||||
\(295\) | −20.5166 | + | 226.199i | −0.0695479 | + | 0.766777i | ||||
\(296\) | 70.0155 | + | 215.485i | 0.236539 | + | 0.727991i | ||||
\(297\) | −7.74105 | + | 15.1927i | −0.0260641 | + | 0.0511538i | ||||
\(298\) | 113.513 | − | 17.9787i | 0.380917 | − | 0.0603314i | ||||
\(299\) | − | 187.620i | − | 0.627493i | ||||||
\(300\) | 2.00251 | − | 84.0231i | 0.00667505 | − | 0.280077i | ||||
\(301\) | 33.6125 | 0.111669 | ||||||||
\(302\) | −5.45516 | − | 34.4425i | −0.0180634 | − | 0.114048i | ||||
\(303\) | −100.633 | − | 51.2751i | −0.332122 | − | 0.169225i | ||||
\(304\) | −135.494 | + | 44.0245i | −0.445702 | + | 0.144818i | ||||
\(305\) | 79.7145 | + | 350.373i | 0.261359 | + | 1.14876i | ||||
\(306\) | 0.114903 | − | 0.353636i | 0.000375501 | − | 0.00115567i | ||||
\(307\) | 111.148 | + | 111.148i | 0.362044 | + | 0.362044i | 0.864565 | − | 0.502521i | \(-0.167594\pi\) |
−0.502521 | + | 0.864565i | \(0.667594\pi\) | |||||||
\(308\) | 6.42827 | + | 12.6162i | 0.0208710 | + | 0.0409617i | ||||
\(309\) | 70.9633 | + | 97.6726i | 0.229655 | + | 0.316093i | ||||
\(310\) | 30.6257 | + | 36.7354i | 0.0987925 | + | 0.118501i | ||||
\(311\) | −119.526 | − | 86.8408i | −0.384328 | − | 0.279231i | 0.378799 | − | 0.925479i | \(-0.376337\pi\) |
−0.763127 | + | 0.646248i | \(0.776337\pi\) | |||||||
\(312\) | 101.356 | + | 16.0532i | 0.324860 | + | 0.0514527i | ||||
\(313\) | 60.0355 | − | 379.049i | 0.191807 | − | 1.21102i | −0.684408 | − | 0.729099i | \(-0.739939\pi\) |
0.876215 | − | 0.481921i | \(-0.160061\pi\) | |||||||
\(314\) | 95.0293 | − | 130.797i | 0.302641 | − | 0.416550i | ||||
\(315\) | −25.6129 | + | 21.3530i | −0.0813107 | + | 0.0677873i | ||||
\(316\) | 225.698 | − | 163.979i | 0.714235 | − | 0.518922i | ||||
\(317\) | −364.651 | + | 185.799i | −1.15032 | + | 0.586117i | −0.921893 | − | 0.387445i | \(-0.873358\pi\) |
−0.228426 | + | 0.973561i | \(0.573358\pi\) | |||||||
\(318\) | −106.173 | + | 106.173i | −0.333877 | + | 0.333877i | ||||
\(319\) | −110.410 | − | 35.8745i | −0.346114 | − | 0.112459i | ||||
\(320\) | 280.843 | − | 63.8955i | 0.877635 | − | 0.199673i | ||||
\(321\) | −38.5772 | − | 118.729i | −0.120178 | − | 0.369871i | ||||
\(322\) | −39.0959 | + | 76.7300i | −0.121416 | + | 0.238292i | ||||
\(323\) | 2.71990 | − | 0.430789i | 0.00842073 | − | 0.00133371i | ||||
\(324\) | 17.4688i | 0.0539161i | ||||||||
\(325\) | 173.699 | + | 4.13976i | 0.534459 | + | 0.0127377i | ||||
\(326\) | 306.185 | 0.939219 | ||||||||
\(327\) | 27.1733 | + | 171.566i | 0.0830989 | + | 0.524666i | ||||
\(328\) | 499.657 | + | 254.588i | 1.52334 | + | 0.776182i | ||||
\(329\) | 40.0859 | − | 13.0247i | 0.121842 | − | 0.0395887i | ||||
\(330\) | −40.6119 | − | 3.68356i | −0.123066 | − | 0.0111623i | ||||
\(331\) | −88.5011 | + | 272.378i | −0.267375 | + | 0.822896i | 0.723762 | + | 0.690050i | \(0.242411\pi\) |
−0.991137 | + | 0.132846i | \(0.957589\pi\) | |||||||
\(332\) | 200.506 | + | 200.506i | 0.603933 | + | 0.603933i | ||||
\(333\) | −36.1986 | − | 71.0437i | −0.108704 | − | 0.213344i | ||||
\(334\) | 26.0504 | + | 35.8553i | 0.0779952 | + | 0.107351i | ||||
\(335\) | −624.366 | − | 157.787i | −1.86378 | − | 0.471007i | ||||
\(336\) | −13.9204 | − | 10.1138i | −0.0414298 | − | 0.0301005i | ||||
\(337\) | −288.617 | − | 45.7125i | −0.856431 | − | 0.135645i | −0.287248 | − | 0.957856i | \(-0.592740\pi\) |
−0.569183 | + | 0.822211i | \(0.692740\pi\) | |||||||
\(338\) | 27.0934 | − | 171.061i | 0.0801580 | − | 0.506098i | ||||
\(339\) | −17.1283 | + | 23.5750i | −0.0505259 | + | 0.0695429i | ||||
\(340\) | −0.836421 | + | 0.0558097i | −0.00246006 | + | 0.000164146i | ||||
\(341\) | −17.6971 | + | 12.8577i | −0.0518976 | + | 0.0377058i | ||||
\(342\) | 122.283 | − | 62.3063i | 0.357553 | − | 0.182182i | ||||
\(343\) | −146.283 | + | 146.283i | −0.426481 | + | 0.426481i | ||||
\(344\) | 122.586 | + | 39.8306i | 0.356354 | + | 0.115787i | ||||
\(345\) | 119.772 | + | 200.782i | 0.347166 | + | 0.581976i | ||||
\(346\) | −37.8731 | − | 116.561i | −0.109460 | − | 0.336883i | ||||
\(347\) | −107.638 | + | 211.251i | −0.310195 | + | 0.608792i | −0.992496 | − | 0.122280i | \(-0.960979\pi\) |
0.682301 | + | 0.731072i | \(0.260979\pi\) | |||||||
\(348\) | −117.472 | + | 18.6057i | −0.337563 | + | 0.0534647i | ||||
\(349\) | 328.355i | 0.940846i | 0.882441 | + | 0.470423i | \(0.155899\pi\) | ||||
−0.882441 | + | 0.470423i | \(0.844101\pi\) | |||||||
\(350\) | −70.1741 | − | 37.8880i | −0.200497 | − | 0.108252i | ||||
\(351\) | −36.1130 | −0.102886 | ||||||||
\(352\) | 14.2130 | + | 89.7370i | 0.0403777 | + | 0.254935i | ||||
\(353\) | −360.052 | − | 183.455i | −1.01998 | − | 0.519704i | −0.137719 | − | 0.990471i | \(-0.543977\pi\) |
−0.882257 | + | 0.470768i | \(0.843977\pi\) | |||||||
\(354\) | 107.374 | − | 34.8878i | 0.303315 | − | 0.0985531i | ||||
\(355\) | 149.951 | − | 350.155i | 0.422397 | − | 0.986351i | ||||
\(356\) | −36.0396 | + | 110.918i | −0.101235 | + | 0.311569i | ||||
\(357\) | 0.235179 | + | 0.235179i | 0.000658766 | + | 0.000658766i | ||||
\(358\) | −20.1065 | − | 39.4612i | −0.0561633 | − | 0.110227i | ||||
\(359\) | −107.677 | − | 148.204i | −0.299935 | − | 0.412825i | 0.632275 | − | 0.774744i | \(-0.282121\pi\) |
−0.932209 | + | 0.361920i | \(0.882121\pi\) | |||||||
\(360\) | −118.714 | + | 47.5240i | −0.329761 | + | 0.132011i | ||||
\(361\) | 530.235 | + | 385.238i | 1.46880 | + | 1.06714i | ||||
\(362\) | 320.573 | + | 50.7738i | 0.885560 | + | 0.140259i | ||||
\(363\) | −29.8676 | + | 188.576i | −0.0822798 | + | 0.519494i | ||||
\(364\) | −17.6269 | + | 24.2614i | −0.0484256 | + | 0.0666521i | ||||
\(365\) | 375.672 | + | 236.415i | 1.02924 | + | 0.647711i | ||||
\(366\) | 144.500 | − | 104.985i | 0.394809 | − | 0.286845i | ||||
\(367\) | 207.864 | − | 105.912i | 0.566387 | − | 0.288589i | −0.147256 | − | 0.989098i | \(-0.547044\pi\) |
0.713643 | + | 0.700510i | \(0.247044\pi\) | |||||||
\(368\) | −85.3026 | + | 85.3026i | −0.231801 | + | 0.231801i | ||||
\(369\) | −187.685 | − | 60.9826i | −0.508632 | − | 0.165265i | ||||
\(370\) | 125.561 | − | 143.515i | 0.339353 | − | 0.387877i | ||||
\(371\) | −41.5026 | − | 127.732i | −0.111867 | − | 0.344291i | ||||
\(372\) | −10.1742 | + | 19.9681i | −0.0273501 | + | 0.0536776i | ||||
\(373\) | −116.272 | + | 18.4157i | −0.311722 | + | 0.0493719i | −0.310335 | − | 0.950627i | \(-0.600441\pi\) |
−0.00138646 | + | 0.999999i | \(0.500441\pi\) | |||||||
\(374\) | 0.406724i | 0.00108750i | ||||||||
\(375\) | −188.527 | + | 106.455i | −0.502738 | + | 0.283881i | ||||
\(376\) | 161.629 | 0.429864 | ||||||||
\(377\) | −38.4632 | − | 242.847i | −0.102024 | − | 0.644157i | ||||
\(378\) | 14.7689 | + | 7.52513i | 0.0390712 | + | 0.0199078i | ||||
\(379\) | −522.156 | + | 169.659i | −1.37772 | + | 0.447648i | −0.901919 | − | 0.431904i | \(-0.857842\pi\) |
−0.475801 | + | 0.879553i | \(0.657842\pi\) | |||||||
\(380\) | −232.861 | − | 203.730i | −0.612793 | − | 0.536132i | ||||
\(381\) | 102.577 | − | 315.698i | 0.269230 | − | 0.828604i | ||||
\(382\) | 41.3443 | + | 41.3443i | 0.108231 | + | 0.108231i | ||||
\(383\) | 37.5805 | + | 73.7558i | 0.0981214 | + | 0.192574i | 0.934849 | − | 0.355045i | \(-0.115534\pi\) |
−0.836728 | + | 0.547619i | \(0.815534\pi\) | |||||||
\(384\) | 28.5993 | + | 39.3636i | 0.0744774 | + | 0.102509i | ||||
\(385\) | 19.4274 | − | 30.8709i | 0.0504607 | − | 0.0801841i | ||||
\(386\) | −273.534 | − | 198.734i | −0.708637 | − | 0.514855i | ||||
\(387\) | −44.8009 | − | 7.09577i | −0.115765 | − | 0.0183353i | ||||
\(388\) | −39.6975 | + | 250.640i | −0.102313 | + | 0.645980i | ||||
\(389\) | 398.970 | − | 549.135i | 1.02563 | − | 1.41166i | 0.117451 | − | 0.993079i | \(-0.462528\pi\) |
0.908180 | − | 0.418580i | \(-0.137472\pi\) | |||||||
\(390\) | −32.0978 | − | 80.1798i | −0.0823021 | − | 0.205589i | ||||
\(391\) | 1.88649 | − | 1.37062i | 0.00482479 | − | 0.00350541i | ||||
\(392\) | −334.652 | + | 170.514i | −0.853704 | + | 0.434984i | ||||
\(393\) | −262.197 | + | 262.197i | −0.667167 | + | 0.667167i | ||||
\(394\) | 34.9634 | + | 11.3603i | 0.0887396 | + | 0.0288332i | ||||
\(395\) | −660.625 | − | 282.907i | −1.67247 | − | 0.716221i | ||||
\(396\) | −5.90467 | − | 18.1727i | −0.0149108 | − | 0.0458907i | ||||
\(397\) | 190.293 | − | 373.472i | 0.479328 | − | 0.940735i | −0.517070 | − | 0.855943i | \(-0.672977\pi\) |
0.996399 | − | 0.0847919i | \(-0.0270226\pi\) | |||||||
\(398\) | 150.244 | − | 23.7963i | 0.377497 | − | 0.0597897i | ||||
\(399\) | 122.758i | 0.307664i | ||||||||
\(400\) | −77.0911 | − | 80.8555i | −0.192728 | − | 0.202139i | ||||
\(401\) | −202.262 | −0.504394 | −0.252197 | − | 0.967676i | \(-0.581153\pi\) | ||||
−0.252197 | + | 0.967676i | \(0.581153\pi\) | |||||||
\(402\) | 50.0767 | + | 316.172i | 0.124569 | + | 0.786497i | ||||
\(403\) | −41.2796 | − | 21.0330i | −0.102431 | − | 0.0521911i | ||||
\(404\) | 120.372 | − | 39.1114i | 0.297951 | − | 0.0968103i | ||||
\(405\) | 38.6462 | − | 23.0536i | 0.0954227 | − | 0.0569226i | ||||
\(406\) | −34.8738 | + | 107.331i | −0.0858961 | + | 0.264361i | ||||
\(407\) | 61.6708 | + | 61.6708i | 0.151525 | + | 0.151525i | ||||
\(408\) | 0.579021 | + | 1.13639i | 0.00141917 | + | 0.00278528i | ||||
\(409\) | 182.069 | + | 250.597i | 0.445157 | + | 0.612706i | 0.971348 | − | 0.237660i | \(-0.0763805\pi\) |
−0.526192 | + | 0.850366i | \(0.676381\pi\) | |||||||
\(410\) | −31.4212 | − | 470.910i | −0.0766371 | − | 1.14856i | ||||
\(411\) | 133.359 | + | 96.8907i | 0.324474 | + | 0.235744i | ||||
\(412\) | −133.627 | − | 21.1645i | −0.324338 | − | 0.0513702i | ||||
\(413\) | −15.7975 | + | 99.7414i | −0.0382506 | + | 0.241505i | ||||
\(414\) | 68.3076 | − | 94.0173i | 0.164994 | − | 0.227095i | ||||
\(415\) | 178.970 | − | 708.186i | 0.431254 | − | 1.70647i | ||||
\(416\) | −155.675 | + | 113.105i | −0.374219 | + | 0.271886i | ||||
\(417\) | 61.4902 | − | 31.3308i | 0.147459 | − | 0.0751339i | ||||
\(418\) | −106.150 | + | 106.150i | −0.253947 | + | 0.253947i | ||||
\(419\) | −724.830 | − | 235.512i | −1.72991 | − | 0.562080i | −0.736469 | − | 0.676471i | \(-0.763509\pi\) |
−0.993436 | + | 0.114390i | \(0.963509\pi\) | |||||||
\(420\) | 3.37553 | − | 37.2158i | 0.00803699 | − | 0.0886092i | ||||
\(421\) | 71.9229 | + | 221.356i | 0.170838 | + | 0.525786i | 0.999419 | − | 0.0340835i | \(-0.0108512\pi\) |
−0.828581 | + | 0.559870i | \(0.810851\pi\) | |||||||
\(422\) | 27.3079 | − | 53.5948i | 0.0647108 | − | 0.127002i | ||||
\(423\) | −56.1786 | + | 8.89782i | −0.132810 | + | 0.0210350i | ||||
\(424\) | − | 515.022i | − | 1.21467i | ||||||
\(425\) | 1.22729 | + | 1.77676i | 0.00288775 | + | 0.00418061i | ||||
\(426\) | −189.341 | −0.444463 | ||||||||
\(427\) | 24.9924 | + | 157.795i | 0.0585301 | + | 0.369544i | ||||
\(428\) | 124.649 | + | 63.5120i | 0.291237 | + | 0.148393i | ||||
\(429\) | 37.5681 | − | 12.2066i | 0.0875714 | − | 0.0284537i | ||||
\(430\) | −24.0654 | − | 105.776i | −0.0559661 | − | 0.245991i | ||||
\(431\) | 239.589 | − | 737.380i | 0.555892 | − | 1.71086i | −0.137684 | − | 0.990476i | \(-0.543966\pi\) |
0.693576 | − | 0.720383i | \(-0.256034\pi\) | |||||||
\(432\) | 16.4190 | + | 16.4190i | 0.0380068 | + | 0.0380068i | ||||
\(433\) | 35.8419 | + | 70.3437i | 0.0827758 | + | 0.162457i | 0.928684 | − | 0.370872i | \(-0.120941\pi\) |
−0.845908 | + | 0.533328i | \(0.820941\pi\) | |||||||
\(434\) | 12.4991 | + | 17.2035i | 0.0287997 | + | 0.0396393i | ||||
\(435\) | 196.189 | + | 235.328i | 0.451009 | + | 0.540985i | ||||
\(436\) | −157.481 | − | 114.417i | −0.361195 | − | 0.262424i | ||||
\(437\) | 850.066 | + | 134.637i | 1.94523 | + | 0.308094i | ||||
\(438\) | 34.5152 | − | 217.920i | 0.0788018 | − | 0.497535i | ||||
\(439\) | −233.982 | + | 322.049i | −0.532989 | + | 0.733596i | −0.987582 | − | 0.157103i | \(-0.949785\pi\) |
0.454593 | + | 0.890699i | \(0.349785\pi\) | |||||||
\(440\) | 107.434 | − | 89.5657i | 0.244168 | − | 0.203558i | ||||
\(441\) | 106.931 | − | 77.6898i | 0.242473 | − | 0.176167i | ||||
\(442\) | −0.767522 | + | 0.391072i | −0.00173648 | + | 0.000884778i | ||||
\(443\) | −444.473 | + | 444.473i | −1.00333 | + | 1.00333i | −0.00333156 | + | 0.999994i | \(0.501060\pi\) |
−0.999994 | + | 0.00333156i | \(0.998940\pi\) | |||||||
\(444\) | 84.9790 | + | 27.6113i | 0.191394 | + | 0.0621877i | ||||
\(445\) | 292.946 | − | 66.6491i | 0.658306 | − | 0.149773i | ||||
\(446\) | −31.8444 | − | 98.0069i | −0.0713999 | − | 0.219746i | ||||
\(447\) | 62.9802 | − | 123.606i | 0.140895 | − | 0.276523i | ||||
\(448\) | 126.482 | − | 20.0327i | 0.282325 | − | 0.0447159i | ||||
\(449\) | − | 248.455i | − | 0.553352i | −0.960963 | − | 0.276676i | \(-0.910767\pi\) | ||
0.960963 | − | 0.276676i | \(-0.0892328\pi\) | |||||||
\(450\) | 85.5342 | + | 65.3137i | 0.190076 | + | 0.145142i | ||||
\(451\) | 215.861 | 0.478627 | ||||||||
\(452\) | −5.10844 | − | 32.2534i | −0.0113018 | − | 0.0713571i | ||||
\(453\) | −37.5048 | − | 19.1096i | −0.0827920 | − | 0.0421846i | ||||
\(454\) | −556.218 | + | 180.726i | −1.22515 | + | 0.398075i | ||||
\(455\) | 76.9356 | + | 6.97818i | 0.169089 | + | 0.0153367i | ||||
\(456\) | −145.467 | + | 447.702i | −0.319007 | + | 0.981803i | ||||
\(457\) | −522.656 | − | 522.656i | −1.14367 | − | 1.14367i | −0.987774 | − | 0.155893i | \(-0.950174\pi\) |
−0.155893 | − | 0.987774i | \(-0.549826\pi\) | |||||||
\(458\) | −195.891 | − | 384.458i | −0.427710 | − | 0.839428i | ||||
\(459\) | −0.263815 | − | 0.363110i | −0.000574760 | − | 0.000791089i | ||||
\(460\) | −254.008 | − | 64.1919i | −0.552190 | − | 0.139548i | ||||
\(461\) | 429.212 | + | 311.841i | 0.931045 | + | 0.676444i | 0.946249 | − | 0.323440i | \(-0.104840\pi\) |
−0.0152033 | + | 0.999884i | \(0.504840\pi\) | |||||||
\(462\) | −17.9076 | − | 2.83628i | −0.0387610 | − | 0.00613914i | ||||
\(463\) | −63.6099 | + | 401.617i | −0.137386 | + | 0.867424i | 0.818675 | + | 0.574257i | \(0.194709\pi\) |
−0.956061 | + | 0.293167i | \(0.905291\pi\) | |||||||
\(464\) | −92.9242 | + | 127.899i | −0.200268 | + | 0.275645i | ||||
\(465\) | 57.6022 | − | 3.84347i | 0.123876 | − | 0.00826553i | ||||
\(466\) | 196.769 | − | 142.961i | 0.422250 | − | 0.306783i | ||||
\(467\) | −106.525 | + | 54.2773i | −0.228105 | + | 0.116225i | −0.564308 | − | 0.825564i | \(-0.690857\pi\) |
0.336203 | + | 0.941789i | \(0.390857\pi\) | |||||||
\(468\) | 28.6160 | − | 28.6160i | 0.0611453 | − | 0.0611453i | ||||
\(469\) | −272.316 | − | 88.4810i | −0.580632 | − | 0.188659i | ||||
\(470\) | −69.6879 | − | 116.822i | −0.148272 | − | 0.248558i | ||||
\(471\) | −60.3047 | − | 185.599i | −0.128036 | − | 0.394053i | ||||
\(472\) | −175.807 | + | 345.040i | −0.372472 | + | 0.731017i | ||||
\(473\) | 49.0046 | − | 7.76157i | 0.103604 | − | 0.0164092i | ||||
\(474\) | 357.223i | 0.753636i | ||||||||
\(475\) | −143.404 | + | 784.021i | −0.301902 | + | 1.65057i | ||||
\(476\) | −0.372713 | −0.000783011 | ||||||||
\(477\) | 28.3525 | + | 179.011i | 0.0594392 | + | 0.375284i | ||||
\(478\) | 334.944 | + | 170.662i | 0.700719 | + | 0.357034i | ||||
\(479\) | −323.344 | + | 105.061i | −0.675040 | + | 0.219334i | −0.626423 | − | 0.779484i | \(-0.715482\pi\) |
−0.0486175 | + | 0.998817i | \(0.515482\pi\) | |||||||
\(480\) | 94.3922 | − | 220.418i | 0.196650 | − | 0.459204i | ||||
\(481\) | −57.0804 | + | 175.675i | −0.118670 | + | 0.365229i | ||||
\(482\) | 482.005 | + | 482.005i | 1.00001 | + | 1.00001i | ||||
\(483\) | 47.1912 | + | 92.6180i | 0.0977044 | + | 0.191756i | ||||
\(484\) | −125.761 | − | 173.096i | −0.259837 | − | 0.357635i | ||||
\(485\) | 606.879 | − | 242.948i | 1.25130 | − | 0.500923i | ||||
\(486\) | −18.0964 | − | 13.1478i | −0.0372353 | − | 0.0270530i | ||||
\(487\) | 373.620 | + | 59.1756i | 0.767187 | + | 0.121511i | 0.527748 | − | 0.849401i | \(-0.323036\pi\) |
0.239439 | + | 0.970911i | \(0.423036\pi\) | |||||||
\(488\) | −95.8386 | + | 605.101i | −0.196391 | + | 1.23996i | ||||
\(489\) | 217.237 | − | 299.001i | 0.444247 | − | 0.611454i | ||||
\(490\) | 267.532 | + | 168.361i | 0.545985 | + | 0.343594i | ||||
\(491\) | −64.7689 | + | 47.0573i | −0.131912 | + | 0.0958398i | −0.651785 | − | 0.758404i | \(-0.725979\pi\) |
0.519873 | + | 0.854244i | \(0.325979\pi\) | |||||||
\(492\) | 197.045 | − | 100.399i | 0.400498 | − | 0.204064i | ||||
\(493\) | 2.16080 | − | 2.16080i | 0.00438297 | − | 0.00438297i | ||||
\(494\) | −302.379 | − | 98.2489i | −0.612103 | − | 0.198884i | ||||
\(495\) | −32.4110 | + | 37.0455i | −0.0654768 | + | 0.0748393i | ||||
\(496\) | 9.20522 | + | 28.3307i | 0.0185589 | + | 0.0571184i | ||||
\(497\) | 76.8875 | − | 150.900i | 0.154703 | − | 0.303622i | ||||
\(498\) | −358.618 | + | 56.7995i | −0.720116 | + | 0.114055i | ||||
\(499\) | − | 220.673i | − | 0.442230i | −0.975248 | − | 0.221115i | \(-0.929030\pi\) | ||
0.975248 | − | 0.221115i | \(-0.0709696\pi\) | |||||||
\(500\) | 65.0335 | − | 233.744i | 0.130067 | − | 0.467488i | ||||
\(501\) | 53.4966 | 0.106780 | ||||||||
\(502\) | 36.3971 | + | 229.803i | 0.0725043 | + | 0.457774i | ||||
\(503\) | 120.247 | + | 61.2690i | 0.239060 | + | 0.121807i | 0.569417 | − | 0.822049i | \(-0.307169\pi\) |
−0.330357 | + | 0.943856i | \(0.607169\pi\) | |||||||
\(504\) | −54.0718 | + | 17.5690i | −0.107285 | + | 0.0348591i | ||||
\(505\) | −245.382 | − | 214.684i | −0.485904 | − | 0.425117i | ||||
\(506\) | −39.2810 | + | 120.894i | −0.0776304 | + | 0.238922i | ||||
\(507\) | −147.825 | − | 147.825i | −0.291567 | − | 0.291567i | ||||
\(508\) | 168.878 | + | 331.442i | 0.332437 | + | 0.652445i | ||||
\(509\) | 464.907 | + | 639.890i | 0.913374 | + | 1.25715i | 0.966001 | + | 0.258537i | \(0.0832404\pi\) |
−0.0526274 | + | 0.998614i | \(0.516760\pi\) | |||||||
\(510\) | 0.571711 | − | 0.908472i | 0.00112100 | − | 0.00178132i | ||||
\(511\) | 159.661 | + | 116.001i | 0.312449 | + | 0.227007i | ||||
\(512\) | 272.706 | + | 43.1924i | 0.532629 | + | 0.0843601i | ||||
\(513\) | 25.9148 | − | 163.620i | 0.0505162 | − | 0.318947i | ||||
\(514\) | 232.133 | − | 319.503i | 0.451620 | − | 0.621601i | ||||
\(515\) | 129.526 | + | 323.554i | 0.251507 | + | 0.628261i | ||||
\(516\) | 41.1230 | − | 29.8776i | 0.0796958 | − | 0.0579024i | ||||
\(517\) | 55.4348 | − | 28.2454i | 0.107224 | − | 0.0546333i | ||||
\(518\) | 59.9506 | − | 59.9506i | 0.115735 | − | 0.115735i | ||||
\(519\) | −140.697 | − | 45.7152i | −0.271093 | − | 0.0880833i | ||||
\(520\) | 272.317 | + | 116.618i | 0.523687 | + | 0.224265i | ||||
\(521\) | 270.466 | + | 832.408i | 0.519128 | + | 1.59771i | 0.775643 | + | 0.631172i | \(0.217426\pi\) |
−0.256514 | + | 0.966540i | \(0.582574\pi\) | |||||||
\(522\) | 69.1401 | − | 135.695i | 0.132452 | − | 0.259952i | ||||
\(523\) | −310.361 | + | 49.1563i | −0.593424 | + | 0.0939891i | −0.445921 | − | 0.895072i | \(-0.647124\pi\) |
−0.147503 | + | 0.989062i | \(0.547124\pi\) | |||||||
\(524\) | − | 415.530i | − | 0.792997i | ||||||
\(525\) | −86.7872 | + | 41.6461i | −0.165309 | + | 0.0793260i | ||||
\(526\) | −74.1814 | −0.141029 | ||||||||
\(527\) | −0.0900749 | − | 0.568711i | −0.000170920 | − | 0.00107915i | ||||
\(528\) | −22.6303 | − | 11.5307i | −0.0428605 | − | 0.0218385i | ||||
\(529\) | 190.004 | − | 61.7360i | 0.359176 | − | 0.116703i | ||||
\(530\) | −372.248 | + | 222.057i | −0.702354 | + | 0.418976i | ||||
\(531\) | 42.1118 | − | 129.607i | 0.0793066 | − | 0.244081i | ||||
\(532\) | −97.2736 | − | 97.2736i | −0.182845 | − | 0.182845i | ||||
\(533\) | 207.554 | + | 407.347i | 0.389407 | + | 0.764254i | ||||
\(534\) | −87.7780 | − | 120.816i | −0.164378 | − | 0.226247i | ||||
\(535\) | −23.9926 | − | 359.578i | −0.0448461 | − | 0.672109i | ||||
\(536\) | −888.297 | − | 645.386i | −1.65727 | − | 1.20408i | ||||
\(537\) | −52.8007 | − | 8.36281i | −0.0983253 | − | 0.0155732i | ||||
\(538\) | 34.2065 | − | 215.971i | 0.0635808 | − | 0.401433i | ||||
\(539\) | −84.9794 | + | 116.964i | −0.157661 | + | 0.217002i | ||||
\(540\) | −12.3556 | + | 48.8911i | −0.0228807 | + | 0.0905390i | ||||
\(541\) | 159.741 | − | 116.059i | 0.295270 | − | 0.214526i | −0.430280 | − | 0.902695i | \(-0.641585\pi\) |
0.725550 | + | 0.688169i | \(0.241585\pi\) | |||||||
\(542\) | −277.503 | + | 141.395i | −0.511998 | + | 0.260876i | ||||
\(543\) | 277.027 | − | 277.027i | 0.510179 | − | 0.510179i | ||||
\(544\) | −2.27450 | − | 0.739029i | −0.00418106 | − | 0.00135851i | ||||
\(545\) | −45.2955 | + | 499.391i | −0.0831110 | + | 0.916314i | ||||
\(546\) | −11.8661 | − | 36.5202i | −0.0217329 | − | 0.0668869i | ||||
\(547\) | 223.030 | − | 437.721i | 0.407733 | − | 0.800222i | −0.592251 | − | 0.805753i | \(-0.701761\pi\) |
0.999985 | + | 0.00553158i | \(0.00176076\pi\) | |||||||
\(548\) | −182.450 | + | 28.8972i | −0.332938 | + | 0.0527322i | ||||
\(549\) | − | 215.596i | − | 0.392707i | ||||||
\(550\) | −111.058 | − | 39.0339i | −0.201923 | − | 0.0709707i | ||||
\(551\) | 1127.89 | 2.04698 | ||||||||
\(552\) | 62.3563 | + | 393.702i | 0.112964 | + | 0.713228i | ||||
\(553\) | −284.698 | − | 145.061i | −0.514825 | − | 0.262317i | ||||
\(554\) | −304.967 | + | 99.0898i | −0.550482 | + | 0.178862i | ||||
\(555\) | −51.0625 | − | 224.437i | −0.0920044 | − | 0.404392i | ||||
\(556\) | −23.8984 | + | 73.5516i | −0.0429827 | + | 0.132287i | ||||
\(557\) | −490.446 | − | 490.446i | −0.880514 | − | 0.880514i | 0.113073 | − | 0.993587i | \(-0.463931\pi\) |
−0.993587 | + | 0.113073i | \(0.963931\pi\) | |||||||
\(558\) | −13.0278 | − | 25.5685i | −0.0233473 | − | 0.0458217i | ||||
\(559\) | 61.7655 | + | 85.0129i | 0.110493 | + | 0.152080i | ||||
\(560\) | −31.8065 | − | 38.1518i | −0.0567973 | − | 0.0681283i | ||||
\(561\) | 0.397181 | + | 0.288569i | 0.000707987 | + | 0.000514382i | ||||
\(562\) | −347.692 | − | 55.0689i | −0.618668 | − | 0.0979874i | ||||
\(563\) | 74.3177 | − | 469.223i | 0.132003 | − | 0.833434i | −0.829473 | − | 0.558546i | \(-0.811359\pi\) |
0.961476 | − | 0.274888i | \(-0.0886407\pi\) | |||||||
\(564\) | 37.4654 | − | 51.5667i | 0.0664280 | − | 0.0914304i | ||||
\(565\) | −64.6124 | + | 53.8662i | −0.114358 | + | 0.0953385i | ||||
\(566\) | −59.5956 | + | 43.2987i | −0.105293 | + | 0.0764995i | ||||
\(567\) | 17.8270 | − | 9.08332i | 0.0314409 | − | 0.0160200i | ||||
\(568\) | 459.227 | − | 459.227i | 0.808498 | − | 0.808498i | ||||
\(569\) | 213.907 | + | 69.5027i | 0.375936 | + | 0.122149i | 0.490889 | − | 0.871222i | \(-0.336672\pi\) |
−0.114954 | + | 0.993371i | \(0.536672\pi\) | |||||||
\(570\) | 386.310 | − | 87.8906i | 0.677737 | − | 0.154194i | ||||
\(571\) | −61.7239 | − | 189.967i | −0.108098 | − | 0.332691i | 0.882347 | − | 0.470599i | \(-0.155962\pi\) |
−0.990445 | + | 0.137908i | \(0.955962\pi\) | |||||||
\(572\) | −20.0965 | + | 39.4416i | −0.0351337 | + | 0.0689538i | ||||
\(573\) | 69.7077 | − | 11.0406i | 0.121654 | − | 0.0192681i | ||||
\(574\) | − | 209.840i | − | 0.365575i | ||||||
\(575\) | 193.203 | + | 646.654i | 0.336005 | + | 1.12462i | ||||
\(576\) | −172.812 | −0.300021 | ||||||||
\(577\) | 103.797 | + | 655.351i | 0.179891 | + | 1.13579i | 0.898044 | + | 0.439905i | \(0.144988\pi\) |
−0.718153 | + | 0.695885i | \(0.755012\pi\) | |||||||
\(578\) | 369.486 | + | 188.262i | 0.639249 | + | 0.325714i | ||||
\(579\) | −388.142 | + | 126.115i | −0.670366 | + | 0.217815i | ||||
\(580\) | −341.935 | − | 31.0140i | −0.589544 | − | 0.0534725i | ||||
\(581\) | 100.359 | − | 308.875i | 0.172736 | − | 0.531626i | ||||
\(582\) | −229.766 | − | 229.766i | −0.394787 | − | 0.394787i | ||||
\(583\) | −90.0027 | − | 176.640i | −0.154379 | − | 0.302985i | ||||
\(584\) | 444.830 | + | 612.256i | 0.761695 | + | 1.04838i | ||||
\(585\) | −101.072 | − | 25.5425i | −0.172772 | − | 0.0436623i | ||||
\(586\) | −390.059 | − | 283.395i | −0.665630 | − | 0.483609i | ||||
\(587\) | 6.03922 | + | 0.956518i | 0.0102883 | + | 0.00162950i | 0.161576 | − | 0.986860i | \(-0.448342\pi\) |
−0.151288 | + | 0.988490i | \(0.548342\pi\) | |||||||
\(588\) | −23.1706 | + | 146.294i | −0.0394059 | + | 0.248799i | ||||
\(589\) | 124.918 | − | 171.935i | 0.212085 | − | 0.291910i | ||||
\(590\) | 325.189 | − | 21.6980i | 0.551168 | − | 0.0367763i | ||||
\(591\) | 35.9001 | − | 26.0829i | 0.0607446 | − | 0.0441335i | ||||
\(592\) | 105.824 | − | 53.9198i | 0.178756 | − | 0.0910808i | ||||
\(593\) | 291.125 | − | 291.125i | 0.490935 | − | 0.490935i | −0.417665 | − | 0.908601i | \(-0.637152\pi\) |
0.908601 | + | 0.417665i | \(0.137152\pi\) | |||||||
\(594\) | 23.2696 | + | 7.56076i | 0.0391745 | + | 0.0127286i | ||||
\(595\) | 0.491870 | + | 0.824552i | 0.000826673 | + | 0.00138580i | ||||
\(596\) | 48.0397 | + | 147.851i | 0.0806035 | + | 0.248072i | ||||
\(597\) | 83.3593 | − | 163.602i | 0.139630 | − | 0.274040i | ||||
\(598\) | −265.907 | + | 42.1156i | −0.444661 | + | 0.0704274i | ||||
\(599\) | 414.898i | 0.692651i | 0.938114 | + | 0.346325i | \(0.112571\pi\) | ||||
−0.938114 | + | 0.346325i | \(0.887429\pi\) | |||||||
\(600\) | −365.866 | + | 49.0427i | −0.609776 | + | 0.0817378i | ||||
\(601\) | −996.218 | −1.65760 | −0.828800 | − | 0.559545i | \(-0.810976\pi\) | ||||
−0.828800 | + | 0.559545i | \(0.810976\pi\) | |||||||
\(602\) | −7.54508 | − | 47.6377i | −0.0125333 | − | 0.0791324i | ||||
\(603\) | 344.282 | + | 175.420i | 0.570949 | + | 0.290913i | ||||
\(604\) | 44.8614 | − | 14.5763i | 0.0742738 | − | 0.0241330i | ||||
\(605\) | −216.971 | + | 506.656i | −0.358630 | + | 0.837447i | ||||
\(606\) | −50.0810 | + | 154.133i | −0.0826418 | + | 0.254345i | ||||
\(607\) | −36.4802 | − | 36.4802i | −0.0600991 | − | 0.0600991i | 0.676418 | − | 0.736518i | \(-0.263531\pi\) |
−0.736518 | + | 0.676418i | \(0.763531\pi\) | |||||||
\(608\) | −400.739 | − | 786.494i | −0.659109 | − | 1.29358i | ||||
\(609\) | 80.0693 | + | 110.206i | 0.131477 | + | 0.180962i | ||||
\(610\) | 478.677 | − | 191.625i | 0.784716 | − | 0.314140i | ||||
\(611\) | 106.603 | + | 77.4515i | 0.174473 | + | 0.126762i | ||||
\(612\) | 0.496776 | + | 0.0786816i | 0.000811726 | + | 0.000128565i | ||||
\(613\) | 121.448 | − | 766.790i | 0.198120 | − | 1.25088i | −0.665370 | − | 0.746514i | \(-0.731726\pi\) |
0.863490 | − | 0.504366i | \(-0.168274\pi\) | |||||||
\(614\) | 132.576 | − | 182.475i | 0.215921 | − | 0.297190i | ||||
\(615\) | −482.154 | − | 303.424i | −0.783990 | − | 0.493373i | ||||
\(616\) | 50.3121 | − | 36.5539i | 0.0816755 | − | 0.0593407i | ||||
\(617\) | −799.539 | + | 407.386i | −1.29585 | + | 0.660268i | −0.959564 | − | 0.281492i | \(-0.909171\pi\) |
−0.336286 | + | 0.941760i | \(0.609171\pi\) | |||||||
\(618\) | 122.498 | − | 122.498i | 0.198217 | − | 0.198217i | ||||
\(619\) | 490.309 | + | 159.311i | 0.792098 | + | 0.257368i | 0.676997 | − | 0.735986i | \(-0.263281\pi\) |
0.115101 | + | 0.993354i | \(0.463281\pi\) | |||||||
\(620\) | −42.5985 | + | 48.6897i | −0.0687073 | + | 0.0785317i | ||||
\(621\) | −43.3474 | − | 133.410i | −0.0698026 | − | 0.214830i | ||||
\(622\) | −96.2458 | + | 188.893i | −0.154736 | + | 0.303687i | ||||
\(623\) | 131.932 | − | 20.8960i | 0.211769 | − | 0.0335410i | ||||
\(624\) | − | 53.7923i | − | 0.0862057i | ||||||
\(625\) | −602.936 | + | 164.599i | −0.964698 | + | 0.263359i | ||||
\(626\) | −550.688 | −0.879694 | ||||||||
\(627\) | 28.3464 | + | 178.972i | 0.0452096 | + | 0.285442i | ||||
\(628\) | 194.855 | + | 99.2833i | 0.310278 | + | 0.158094i | ||||
\(629\) | −2.18337 | + | 0.709421i | −0.00347118 | + | 0.00112786i | ||||
\(630\) | 36.0122 | + | 31.5070i | 0.0571622 | + | 0.0500111i | ||||
\(631\) | 314.889 | − | 969.128i | 0.499032 | − | 1.53586i | −0.311547 | − | 0.950231i | \(-0.600847\pi\) |
0.810578 | − | 0.585630i | \(-0.199153\pi\) | |||||||
\(632\) | −866.408 | − | 866.408i | −1.37090 | − | 1.37090i | ||||
\(633\) | −32.9624 | − | 64.6924i | −0.0520734 | − | 0.102200i | ||||
\(634\) | 345.180 | + | 475.099i | 0.544448 | + | 0.749368i | ||||
\(635\) | 510.379 | − | 811.013i | 0.803746 | − | 1.27719i | ||||
\(636\) | −164.315 | − | 119.382i | −0.258357 | − | 0.187707i | ||||
\(637\) | −302.430 | − | 47.9002i | −0.474773 | − | 0.0751966i | ||||
\(638\) | −26.0595 | + | 164.533i | −0.0408456 | + | 0.257889i | ||||
\(639\) | −134.336 | + | 184.898i | −0.210229 | + | 0.289356i | ||||
\(640\) | 52.2011 | + | 130.397i | 0.0815643 | + | 0.203746i | ||||
\(641\) | −822.390 | + | 597.501i | −1.28298 | + | 0.932139i | −0.999639 | − | 0.0268797i | \(-0.991443\pi\) |
−0.283341 | + | 0.959019i | \(0.591443\pi\) | |||||||
\(642\) | −159.610 | + | 81.3253i | −0.248614 | + | 0.126675i | ||||
\(643\) | −244.880 | + | 244.880i | −0.380839 | + | 0.380839i | −0.871405 | − | 0.490565i | \(-0.836790\pi\) |
0.490565 | + | 0.871405i | \(0.336790\pi\) | |||||||
\(644\) | −110.785 | − | 35.9963i | −0.172027 | − | 0.0558948i | ||||
\(645\) | −120.368 | − | 51.5468i | −0.186618 | − | 0.0799175i | ||||
\(646\) | −1.22108 | − | 3.75810i | −0.00189022 | − | 0.00581750i | ||||
\(647\) | −95.1186 | + | 186.681i | −0.147015 | + | 0.288533i | −0.952757 | − | 0.303734i | \(-0.901767\pi\) |
0.805742 | + | 0.592266i | \(0.201767\pi\) | |||||||
\(648\) | 75.7793 | − | 12.0023i | 0.116943 | − | 0.0185220i | ||||
\(649\) | 149.064i | 0.229682i | ||||||||
\(650\) | −33.1235 | − | 247.107i | −0.0509593 | − | 0.380164i | ||||
\(651\) | 25.6678 | 0.0394283 | ||||||||
\(652\) | 64.7900 | + | 409.068i | 0.0993711 | + | 0.627404i | ||||
\(653\) | −938.922 | − | 478.405i | −1.43786 | − | 0.732626i | −0.450746 | − | 0.892652i | \(-0.648842\pi\) |
−0.987113 | + | 0.160026i | \(0.948842\pi\) | |||||||
\(654\) | 237.054 | − | 77.0235i | 0.362468 | − | 0.117773i | ||||
\(655\) | −919.276 | + | 548.376i | −1.40347 | + | 0.837215i | ||||
\(656\) | 90.8371 | − | 279.568i | 0.138471 | − | 0.426171i | ||||
\(657\) | −188.319 | − | 188.319i | −0.286634 | − | 0.286634i | ||||
\(658\) | −27.4576 | − | 53.8885i | −0.0417288 | − | 0.0818975i | ||||
\(659\) | 285.009 | + | 392.281i | 0.432487 | + | 0.595268i | 0.968522 | − | 0.248928i | \(-0.0800784\pi\) |
−0.536035 | + | 0.844196i | \(0.680078\pi\) | |||||||
\(660\) | −3.67234 | − | 55.0375i | −0.00556415 | − | 0.0833901i | ||||
\(661\) | 299.590 | + | 217.665i | 0.453237 | + | 0.329296i | 0.790873 | − | 0.611981i | \(-0.209627\pi\) |
−0.337635 | + | 0.941277i | \(0.609627\pi\) | |||||||
\(662\) | 405.898 | + | 64.2879i | 0.613138 | + | 0.0971116i | ||||
\(663\) | −0.162657 | + | 1.02698i | −0.000245335 | + | 0.00154898i | ||||
\(664\) | 732.028 | − | 1007.55i | 1.10245 | − | 1.51740i | ||||
\(665\) | −86.8258 | + | 343.570i | −0.130565 | + | 0.516647i | ||||
\(666\) | −92.5619 | + | 67.2502i | −0.138982 | + | 0.100976i | ||||
\(667\) | 850.965 | − | 433.588i | 1.27581 | − | 0.650057i | ||||
\(668\) | −42.3908 | + | 42.3908i | −0.0634593 | + | 0.0634593i | ||||
\(669\) | −118.301 | − | 38.4382i | −0.176832 | − | 0.0574562i | ||||
\(670\) | −83.4734 | + | 920.308i | −0.124587 | + | 1.37359i | ||||
\(671\) | 72.8741 | + | 224.283i | 0.108605 | + | 0.334252i | ||||
\(672\) | 48.3998 | − | 94.9899i | 0.0720234 | − | 0.141354i | ||||
\(673\) | 408.101 | − | 64.6369i | 0.606391 | − | 0.0960429i | 0.154314 | − | 0.988022i | \(-0.450683\pi\) |
0.452077 | + | 0.891979i | \(0.350683\pi\) | |||||||
\(674\) | 419.308i | 0.622118i | ||||||||
\(675\) | 124.467 | − | 37.1875i | 0.184396 | − | 0.0550925i | ||||
\(676\) | 234.273 | 0.346558 | ||||||||
\(677\) | −142.220 | − | 897.942i | −0.210074 | − | 1.32635i | −0.836969 | − | 0.547250i | \(-0.815675\pi\) |
0.626895 | − | 0.779104i | \(-0.284325\pi\) | |||||||
\(678\) | 37.2568 | + | 18.9833i | 0.0549511 | + | 0.0279990i | ||||
\(679\) | 276.421 | − | 89.8146i | 0.407100 | − | 0.132275i | ||||
\(680\) | 0.816779 | + | 3.59003i | 0.00120115 | + | 0.00527946i | ||||
\(681\) | −218.148 | + | 671.390i | −0.320335 | + | 0.985889i | ||||
\(682\) | 22.1952 | + | 22.1952i | 0.0325443 | + | 0.0325443i | ||||
\(683\) | 187.663 | + | 368.309i | 0.274762 | + | 0.539252i | 0.986613 | − | 0.163079i | \(-0.0521427\pi\) |
−0.711851 | + | 0.702331i | \(0.752143\pi\) | |||||||
\(684\) | 109.118 | + | 150.188i | 0.159529 | + | 0.219572i | ||||
\(685\) | 304.709 | + | 365.498i | 0.444831 | + | 0.533573i | ||||
\(686\) | 240.158 | + | 174.485i | 0.350084 | + | 0.254351i | ||||
\(687\) | −514.420 | − | 81.4762i | −0.748792 | − | 0.118597i | ||||
\(688\) | 10.5696 | − | 66.7336i | 0.0153627 | − | 0.0969964i | ||||
\(689\) | 246.796 | − | 339.685i | 0.358194 | − | 0.493012i | ||||
\(690\) | 257.675 | − | 214.819i | 0.373441 | − | 0.311331i | ||||
\(691\) | −346.098 | + | 251.455i | −0.500866 | + | 0.363900i | −0.809348 | − | 0.587330i | \(-0.800179\pi\) |
0.308482 | + | 0.951230i | \(0.400179\pi\) | |||||||
\(692\) | 147.713 | − | 75.2638i | 0.213459 | − | 0.108763i | ||||
\(693\) | −15.4751 | + | 15.4751i | −0.0223305 | + | 0.0223305i | ||||
\(694\) | 323.559 | + | 105.131i | 0.466224 | + | 0.151485i | ||||
\(695\) | 194.257 | − | 44.1959i | 0.279506 | − | 0.0635913i | ||||
\(696\) | 161.422 | + | 496.806i | 0.231928 | + | 0.713802i | ||||
\(697\) | −2.57957 | + | 5.06270i | −0.00370097 | + | 0.00726355i | ||||
\(698\) | 465.365 | − | 73.7066i | 0.666713 | − | 0.105597i | ||||
\(699\) | − | 293.581i | − | 0.420002i | ||||||
\(700\) | 35.7698 | − | 101.771i | 0.0510998 | − | 0.145387i | ||||
\(701\) | 573.168 | 0.817643 | 0.408821 | − | 0.912614i | \(-0.365940\pi\) | ||||
0.408821 | + | 0.912614i | \(0.365940\pi\) | |||||||
\(702\) | 8.10636 | + | 51.1815i | 0.0115475 | + | 0.0729082i | ||||
\(703\) | −754.984 | − | 384.684i | −1.07395 | − | 0.547203i | ||||
\(704\) | 179.775 | − | 58.4125i | 0.255363 | − | 0.0829724i | ||||
\(705\) | −163.524 | − | 14.8319i | −0.231949 | − | 0.0210381i | ||||
\(706\) | −179.183 | + | 551.468i | −0.253800 | + | 0.781116i | ||||
\(707\) | −102.504 | − | 102.504i | −0.144984 | − | 0.144984i | ||||
\(708\) | 69.3312 | + | 136.070i | 0.0979255 | + | 0.192190i | ||||
\(709\) | 536.938 | + | 739.031i | 0.757317 | + | 1.04236i | 0.997432 | + | 0.0716131i | \(0.0228147\pi\) |
−0.240115 | + | 0.970744i | \(0.577185\pi\) | |||||||
\(710\) | −529.921 | − | 133.920i | −0.746367 | − | 0.188619i | ||||
\(711\) | 348.841 | + | 253.448i | 0.490635 | + | 0.356467i | ||||
\(712\) | 505.923 | + | 80.1304i | 0.710566 | + | 0.112543i | ||||
\(713\) | 28.1517 | − | 177.743i | 0.0394834 | − | 0.249288i | ||||
\(714\) | 0.280520 | − | 0.386102i | 0.000392885 | − | 0.000540759i | ||||
\(715\) | 113.778 | − | 7.59176i | 0.159130 | − | 0.0106178i | ||||
\(716\) | 48.4661 | − | 35.2127i | 0.0676900 | − | 0.0491797i | ||||
\(717\) | 404.298 | − | 206.000i | 0.563875 | − | 0.287309i | ||||
\(718\) | −185.874 | + | 185.874i | −0.258877 | + | 0.258877i | ||||
\(719\) | 737.539 | + | 239.641i | 1.02579 | + | 0.333298i | 0.773123 | − | 0.634257i | \(-0.218694\pi\) |
0.252663 | + | 0.967554i | \(0.418694\pi\) | |||||||
\(720\) | 34.3397 | + | 57.5658i | 0.0476941 | + | 0.0799524i | ||||
\(721\) | 47.8842 | + | 147.372i | 0.0664136 | + | 0.204400i | ||||
\(722\) | 426.961 | − | 837.957i | 0.591358 | − | 1.16061i | ||||
\(723\) | 812.674 | − | 128.715i | 1.12403 | − | 0.178029i | ||||
\(724\) | 439.034i | 0.606400i | ||||||||
\(725\) | 382.640 | + | 797.391i | 0.527780 | + | 1.09985i | ||||
\(726\) | 273.967 | 0.377365 | ||||||||
\(727\) | 174.272 | + | 1100.31i | 0.239713 | + | 1.51349i | 0.754573 | + | 0.656216i | \(0.227844\pi\) |
−0.514860 | + | 0.857274i | \(0.672156\pi\) | |||||||
\(728\) | 117.356 | + | 59.7959i | 0.161203 | + | 0.0821373i | ||||
\(729\) | −25.6785 | + | 8.34346i | −0.0352243 | + | 0.0114451i | ||||
\(730\) | 250.733 | − | 585.495i | 0.343470 | − | 0.802047i | ||||
\(731\) | −0.403577 | + | 1.24208i | −0.000552089 | + | 0.00169916i | ||||
\(732\) | 170.839 | + | 170.839i | 0.233386 | + | 0.233386i | ||||
\(733\) | −179.936 | − | 353.144i | −0.245479 | − | 0.481779i | 0.735086 | − | 0.677974i | \(-0.237142\pi\) |
−0.980565 | + | 0.196194i | \(0.937142\pi\) | |||||||
\(734\) | −196.765 | − | 270.824i | −0.268072 | − | 0.368970i | ||||
\(735\) | 354.223 | − | 141.804i | 0.481937 | − | 0.192930i | ||||
\(736\) | −604.696 | − | 439.337i | −0.821598 | − | 0.596926i | ||||
\(737\) | −417.449 | − | 66.1174i | −0.566417 | − | 0.0897116i | ||||
\(738\) | −44.2982 | + | 279.688i | −0.0600247 | + | 0.378981i | ||||
\(739\) | 432.274 | − | 594.974i | 0.584944 | − | 0.805106i | −0.409283 | − | 0.912408i | \(-0.634221\pi\) |
0.994227 | + | 0.107301i | \(0.0342210\pi\) | |||||||
\(740\) | 218.307 | + | 137.383i | 0.295009 | + | 0.185652i | ||||
\(741\) | −310.480 | + | 225.577i | −0.419001 | + | 0.304422i | ||||
\(742\) | −171.713 | + | 87.4923i | −0.231419 | + | 0.117914i | ||||
\(743\) | 608.093 | − | 608.093i | 0.818429 | − | 0.818429i | −0.167451 | − | 0.985880i | \(-0.553554\pi\) |
0.985880 | + | 0.167451i | \(0.0535537\pi\) | |||||||
\(744\) | 93.6113 | + | 30.4162i | 0.125822 | + | 0.0408819i | ||||
\(745\) | 263.692 | − | 301.397i | 0.353949 | − | 0.404560i | ||||
\(746\) | 52.1998 | + | 160.654i | 0.0699729 | + | 0.215354i | ||||
\(747\) | −198.971 | + | 390.502i | −0.266360 | + | 0.522760i | ||||
\(748\) | −0.543389 | + | 0.0860644i | −0.000726456 | + | 0.000115059i | ||||
\(749\) | − | 160.230i | − | 0.213925i | ||||||
\(750\) | 193.194 | + | 243.295i | 0.257592 | + | 0.324394i | ||||
\(751\) | −1051.05 | −1.39954 | −0.699770 | − | 0.714368i | \(-0.746714\pi\) | ||||
−0.699770 | + | 0.714368i | \(0.746714\pi\) | |||||||
\(752\) | −13.2538 | − | 83.6813i | −0.0176248 | − | 0.111278i | ||||
\(753\) | 250.234 | + | 127.501i | 0.332316 | + | 0.169323i | ||||
\(754\) | −335.544 | + | 109.025i | −0.445019 | + | 0.144595i | ||||
\(755\) | −91.4508 | − | 80.0102i | −0.121127 | − | 0.105974i | ||||
\(756\) | −6.92852 | + | 21.3238i | −0.00916471 | + | 0.0282061i | ||||
\(757\) | −636.529 | − | 636.529i | −0.840857 | − | 0.840857i | 0.148113 | − | 0.988970i | \(-0.452680\pi\) |
−0.988970 | + | 0.148113i | \(0.952680\pi\) | |||||||
\(758\) | 357.660 | + | 701.948i | 0.471848 | + | 0.926053i | ||||
\(759\) | 90.1881 | + | 124.133i | 0.118825 | + | 0.163548i | ||||
\(760\) | −723.785 | + | 1150.12i | −0.952348 | + | 1.51332i | ||||
\(761\) | −742.006 | − | 539.099i | −0.975041 | − | 0.708409i | −0.0184461 | − | 0.999830i | \(-0.505872\pi\) |
−0.956595 | + | 0.291421i | \(0.905872\pi\) | |||||||
\(762\) | −470.453 | − | 74.5124i | −0.617392 | − | 0.0977853i | ||||
\(763\) | −34.8769 | + | 220.204i | −0.0457102 | + | 0.288603i | ||||
\(764\) | −46.4879 | + | 63.9851i | −0.0608480 | + | 0.0837501i | ||||
\(765\) | −0.481530 | − | 1.20285i | −0.000629451 | − | 0.00157236i | ||||
\(766\) | 96.0956 | − | 69.8175i | 0.125451 | − | 0.0911456i | ||||
\(767\) | −281.295 | + | 143.327i | −0.366748 | + | 0.186867i | ||||
\(768\) | 331.570 | − | 331.570i | 0.431731 | − | 0.431731i | ||||
\(769\) | −797.315 | − | 259.063i | −1.03682 | − | 0.336884i | −0.259337 | − | 0.965787i | \(-0.583504\pi\) |
−0.777484 | + | 0.628903i | \(0.783504\pi\) | |||||||
\(770\) | −48.1130 | − | 20.6040i | −0.0624844 | − | 0.0267584i | ||||
\(771\) | −147.309 | − | 453.371i | −0.191063 | − | 0.588030i | ||||
\(772\) | 207.631 | − | 407.498i | 0.268952 | − | 0.527847i | ||||
\(773\) | −576.333 | + | 91.2823i | −0.745580 | + | 0.118088i | −0.517654 | − | 0.855590i | \(-0.673195\pi\) |
−0.227926 | + | 0.973678i | \(0.573195\pi\) | |||||||
\(774\) | 65.0875i | 0.0840923i | ||||||||
\(775\) | 163.933 | + | 29.9847i | 0.211527 | + | 0.0386899i | ||||
\(776\) | 1114.55 | 1.43627 | ||||||||
\(777\) | −16.0093 | − | 101.079i | −0.0206040 | − | 0.130088i | ||||
\(778\) | −867.827 | − | 442.180i | −1.11546 | − | 0.568354i | ||||
\(779\) | −1994.54 | + | 648.065i | −2.56038 | + | 0.831919i | ||||
\(780\) | 100.329 | − | 59.8494i | 0.128627 | − | 0.0767301i | ||||
\(781\) | 77.2516 | − | 237.756i | 0.0989137 | − | 0.304425i | ||||
\(782\) | −2.36599 | − | 2.36599i | −0.00302556 | − | 0.00302556i | ||||
\(783\) | −83.4566 | − | 163.793i | −0.106586 | − | 0.209186i | ||||
\(784\) | 115.723 | + | 159.280i | 0.147606 | + | 0.203163i | ||||
\(785\) | −37.5058 | − | 562.100i | −0.0477781 | − | 0.716051i | ||||
\(786\) | 430.457 | + | 312.745i | 0.547655 | + | 0.397895i | ||||
\(787\) | 1439.16 | + | 227.941i | 1.82867 | + | 0.289633i | 0.973495 | − | 0.228709i | \(-0.0734504\pi\) |
0.855174 | + | 0.518342i | \(0.173450\pi\) | |||||||
\(788\) | −7.77912 | + | 49.1154i | −0.00987198 | + | 0.0623292i | ||||
\(789\) | −52.6313 | + | 72.4407i | −0.0667063 | + | 0.0918133i | ||||
\(790\) | −252.662 | + | 999.783i | −0.319825 | + | 1.26555i | ||||
\(791\) | −30.2585 | + | 21.9841i | −0.0382535 | + | 0.0277928i | ||||
\(792\) | −74.7759 | + | 38.1002i | −0.0944140 | + | 0.0481063i | ||||
\(793\) | −353.172 | + | 353.172i | −0.445361 | + | 0.445361i | ||||
\(794\) | −572.023 | − | 185.861i | −0.720432 | − | 0.234082i | ||||
\(795\) | −47.2611 | + | 521.062i | −0.0594479 | + | 0.655423i | ||||
\(796\) | 63.5844 | + | 195.693i | 0.0798798 | + | 0.245845i | ||||
\(797\) | 84.3810 | − | 165.607i | 0.105873 | − | 0.207788i | −0.831992 | − | 0.554788i | \(-0.812800\pi\) |
0.937865 | + | 0.347000i | \(0.112800\pi\) | |||||||
\(798\) | 173.980 | − | 27.5557i | 0.218020 | − | 0.0345310i | ||||
\(799\) | 1.63768i | 0.00204966i | ||||||||
\(800\) | 420.082 | − | 550.135i | 0.525102 | − | 0.687668i | ||||
\(801\) | −180.259 | −0.225043 | ||||||||
\(802\) | 45.4022 | + | 286.658i | 0.0566112 | + | 0.357429i | ||||
\(803\) | 259.561 | + | 132.253i | 0.323239 | + | 0.164698i | ||||
\(804\) | −411.813 | + | 133.806i | −0.512206 | + | 0.166426i | ||||
\(805\) | 66.5690 | + | 292.594i | 0.0826944 | + | 0.363471i | ||||
\(806\) | −20.5431 | + | 63.2253i | −0.0254878 | + | 0.0784433i | ||||
\(807\) | −186.634 | − | 186.634i | −0.231269 | − | 0.231269i | ||||
\(808\) | −252.368 | − | 495.300i | −0.312337 | − | 0.612995i | ||||
\(809\) | −665.339 | − | 915.760i | −0.822421 | − | 1.13197i | −0.989287 | − | 0.145986i | \(-0.953365\pi\) |
0.166866 | − | 0.985980i | \(-0.446635\pi\) | |||||||
\(810\) | −41.3481 | − | 49.5969i | −0.0510470 | − | 0.0612307i | ||||
\(811\) | −380.314 | − | 276.315i | −0.468945 | − | 0.340709i | 0.328085 | − | 0.944648i | \(-0.393597\pi\) |
−0.797030 | + | 0.603940i | \(0.793597\pi\) | |||||||
\(812\) | −150.775 | − | 23.8803i | −0.185683 | − | 0.0294093i | ||||
\(813\) | −58.8098 | + | 371.310i | −0.0723368 | + | 0.456716i | ||||
\(814\) | 73.5603 | − | 101.247i | 0.0903689 | − | 0.124382i | ||||
\(815\) | 819.475 | − | 683.182i | 1.00549 | − | 0.838260i | ||||
\(816\) | 0.540873 | − | 0.392967i | 0.000662835 | − | 0.000481578i | ||||
\(817\) | −429.497 | + | 218.840i | −0.525700 | + | 0.267858i | ||||
\(818\) | 314.292 | − | 314.292i | 0.384220 | − | 0.384220i | ||||
\(819\) | −44.0823 | − | 14.3232i | −0.0538245 | − | 0.0174886i | ||||
\(820\) | 622.494 | − | 141.626i | 0.759139 | − | 0.172714i | ||||
\(821\) | −192.145 | − | 591.361i | −0.234038 | − | 0.720294i | −0.997248 | − | 0.0741431i | \(-0.976378\pi\) |
0.763210 | − | 0.646150i | \(-0.223622\pi\) | |||||||
\(822\) | 107.384 | − | 210.753i | 0.130638 | − | 0.256391i | ||||
\(823\) | 725.192 | − | 114.859i | 0.881156 | − | 0.139561i | 0.300570 | − | 0.953760i | \(-0.402823\pi\) |
0.580587 | + | 0.814198i | \(0.302823\pi\) | |||||||
\(824\) | 594.214i | 0.721134i | ||||||||
\(825\) | −116.913 | + | 80.7574i | −0.141712 | + | 0.0978877i | ||||
\(826\) | 144.906 | 0.175431 | ||||||||
\(827\) | −87.9936 | − | 555.570i | −0.106401 | − | 0.671790i | −0.982019 | − | 0.188784i | \(-0.939545\pi\) |
0.875618 | − | 0.483005i | \(-0.160455\pi\) | |||||||
\(828\) | 140.063 | + | 71.3654i | 0.169158 | + | 0.0861902i | ||||
\(829\) | 595.744 | − | 193.569i | 0.718630 | − | 0.233497i | 0.0732008 | − | 0.997317i | \(-0.476679\pi\) |
0.645429 | + | 0.763820i | \(0.276679\pi\) | |||||||
\(830\) | −1043.86 | − | 94.6796i | −1.25766 | − | 0.114072i | ||||
\(831\) | −119.608 | + | 368.115i | −0.143932 | + | 0.442978i | ||||
\(832\) | 283.086 | + | 283.086i | 0.340248 | + | 0.340248i | ||||
\(833\) | −1.72770 | − | 3.39081i | −0.00207407 | − | 0.00407060i | ||||
\(834\) | −58.2068 | − | 80.1148i | −0.0697924 | − | 0.0960610i | ||||
\(835\) | 149.724 | + | 37.8378i | 0.179311 | + | 0.0453147i | ||||
\(836\) | −164.280 | − | 119.356i | −0.196507 | − | 0.142771i | ||||
\(837\) | −34.2117 | − | 5.41860i | −0.0408742 | − | 0.00647384i | ||||
\(838\) | −171.077 | + | 1080.14i | −0.204150 | + | 1.28895i | ||||
\(839\) | 480.122 | − | 660.831i | 0.572255 | − | 0.787641i | −0.420565 | − | 0.907262i | \(-0.638168\pi\) |
0.992820 | + | 0.119622i | \(0.0381681\pi\) | |||||||
\(840\) | −163.761 | + | 10.9268i | −0.194953 | + | 0.0130081i | ||||
\(841\) | 332.178 | − | 241.341i | 0.394980 | − | 0.286969i | ||||
\(842\) | 297.575 | − | 151.622i | 0.353414 | − | 0.180074i | ||||
\(843\) | −300.462 | + | 300.462i | −0.356420 | + | 0.356420i | ||||
\(844\) | 77.3819 | + | 25.1429i | 0.0916847 | + | 0.0297902i | ||||
\(845\) | −309.171 | − | 518.281i | −0.365882 | − | 0.613351i | ||||
\(846\) | 25.2211 | + | 77.6226i | 0.0298122 | + | 0.0917524i | ||||
\(847\) | −111.252 | + | 218.345i | −0.131349 | + | 0.257786i | ||||
\(848\) | −266.647 | + | 42.2327i | −0.314442 | + | 0.0498027i | ||||
\(849\) | 88.9174i | 0.104732i | ||||||||
\(850\) | 2.24264 | − | 2.13823i | 0.00263840 | − | 0.00251557i | ||||
\(851\) | −717.500 | −0.843126 | ||||||||
\(852\) | −40.0653 | − | 252.962i | −0.0470250 | − | 0.296904i | ||||
\(853\) | 155.268 | + | 79.1128i | 0.182025 | + | 0.0927466i | 0.542629 | − | 0.839973i | \(-0.317429\pi\) |
−0.360603 | + | 0.932719i | \(0.617429\pi\) | |||||||
\(854\) | 218.027 | − | 70.8414i | 0.255301 | − | 0.0829525i | ||||
\(855\) | 188.256 | − | 439.603i | 0.220183 | − | 0.514156i | ||||
\(856\) | 189.871 | − | 584.363i | 0.221812 | − | 0.682667i | ||||
\(857\) | 316.537 | + | 316.537i | 0.369354 | + | 0.369354i | 0.867242 | − | 0.497887i | \(-0.165891\pi\) |
−0.497887 | + | 0.867242i | \(0.665891\pi\) | |||||||
\(858\) | −25.7330 | − | 50.5038i | −0.0299918 | − | 0.0588623i | ||||
\(859\) | −524.013 | − | 721.242i | −0.610027 | − | 0.839630i | 0.386553 | − | 0.922267i | \(-0.373666\pi\) |
−0.996580 | + | 0.0826374i | \(0.973666\pi\) | |||||||
\(860\) | 136.226 | − | 54.5344i | 0.158402 | − | 0.0634120i | ||||
\(861\) | −204.916 | − | 148.880i | −0.237998 | − | 0.172915i | ||||
\(862\) | −1098.84 | − | 174.040i | −1.27476 | − | 0.201902i | ||||
\(863\) | −64.6532 | + | 408.204i | −0.0749168 | + | 0.473006i | 0.921497 | + | 0.388386i | \(0.126967\pi\) |
−0.996413 | + | 0.0846194i | \(0.973033\pi\) | |||||||
\(864\) | −84.5632 | + | 116.391i | −0.0978740 | + | 0.134712i | ||||
\(865\) | −361.444 | − | 227.460i | −0.417854 | − | 0.262960i | ||||
\(866\) | 91.6499 | − | 66.5876i | 0.105831 | − | 0.0768910i | ||||
\(867\) | 445.993 | − | 227.245i | 0.514410 | − | 0.262105i | ||||
\(868\) | −20.3392 | + | 20.3392i | −0.0234323 | + | 0.0234323i | ||||
\(869\) | −448.566 | − | 145.748i | −0.516187 | − | 0.167719i | ||||
\(870\) | 289.483 | − | 330.876i | 0.332739 | − | 0.380317i | ||||
\(871\) | −276.615 | − | 851.334i | −0.317583 | − | 0.977421i | ||||
\(872\) | −388.137 | + | 761.761i | −0.445111 | + | 0.873580i | ||||
\(873\) | −387.392 | + | 61.3569i | −0.443748 | + | 0.0702828i | ||||
\(874\) | − | 1234.99i | − | 1.41303i | ||||||
\(875\) | −272.353 | + | 55.1737i | −0.311260 | + | 0.0630557i | ||||
\(876\) | 298.448 | 0.340694 | ||||||||
\(877\) | 21.4347 | + | 135.333i | 0.0244409 | + | 0.154314i | 0.996890 | − | 0.0787996i | \(-0.0251087\pi\) |
−0.972450 | + | 0.233113i | \(0.925109\pi\) | |||||||
\(878\) | 508.950 | + | 259.323i | 0.579670 | + | 0.295357i | ||||
\(879\) | −553.490 | + | 179.840i | −0.629681 | + | 0.204596i | ||||
\(880\) | −55.1814 | − | 48.2781i | −0.0627061 | − | 0.0548615i | ||||
\(881\) | −212.803 | + | 654.939i | −0.241547 | + | 0.743404i | 0.754639 | + | 0.656141i | \(0.227812\pi\) |
−0.996185 | + | 0.0872634i | \(0.972188\pi\) | |||||||
\(882\) | −134.110 | − | 134.110i | −0.152052 | − | 0.152052i | ||||
\(883\) | 564.040 | + | 1106.99i | 0.638777 | + | 1.25367i | 0.952611 | + | 0.304192i | \(0.0983865\pi\) |
−0.313834 | + | 0.949478i | \(0.601613\pi\) | |||||||
\(884\) | −0.684888 | − | 0.942668i | −0.000774760 | − | 0.00106637i | ||||
\(885\) | 209.531 | − | 332.953i | 0.236758 | − | 0.376219i | ||||
\(886\) | 729.707 | + | 530.163i | 0.823597 | + | 0.598379i | ||||
\(887\) | 583.902 | + | 92.4810i | 0.658289 | + | 0.104263i | 0.476637 | − | 0.879100i | \(-0.341856\pi\) |
0.181652 | + | 0.983363i | \(0.441856\pi\) | |||||||
\(888\) | 61.3910 | − | 387.608i | 0.0691340 | − | 0.436495i | ||||
\(889\) | 250.426 | − | 344.682i | 0.281694 | − | 0.387718i | ||||
\(890\) | −160.217 | − | 400.220i | −0.180020 | − | 0.449686i | ||||
\(891\) | 23.8930 | − | 17.3593i | 0.0268160 | − | 0.0194829i | ||||
\(892\) | 124.200 | − | 63.2831i | 0.139238 | − | 0.0709452i | ||||
\(893\) | −427.414 | + | 427.414i | −0.478627 | + | 0.478627i | ||||
\(894\) | −189.319 | − | 61.5134i | −0.211766 | − | 0.0688070i | ||||
\(895\) | −141.862 | − | 60.7511i | −0.158505 | − | 0.0678783i | ||||
\(896\) | 19.2981 | + | 59.3934i | 0.0215380 | + | 0.0662873i | ||||
\(897\) | −147.532 | + | 289.549i | −0.164473 | + | 0.322797i | ||||
\(898\) | −352.126 | + | 55.7712i | −0.392122 | + | 0.0621060i | ||||
\(899\) | − | 235.833i | − | 0.262328i | ||||||
\(900\) | −69.1607 | + | 128.096i | −0.0768452 | + | 0.142328i | ||||
\(901\) | 5.21838 | 0.00579177 | ||||||||
\(902\) | −48.4548 | − | 305.931i | −0.0537192 | − | 0.339170i | ||||
\(903\) | −51.8731 | − | 26.4307i | −0.0574453 | − | 0.0292699i | ||||
\(904\) | −136.405 | + | 44.3205i | −0.150890 | + | 0.0490271i | ||||
\(905\) | 971.272 | − | 579.394i | 1.07323 | − | 0.640214i | ||||
\(906\) | −18.6646 | + | 57.4436i | −0.0206011 | + | 0.0634036i | ||||
\(907\) | 977.680 | + | 977.680i | 1.07793 | + | 1.07793i | 0.996695 | + | 0.0812324i | \(0.0258856\pi\) |
0.0812324 | + | 0.996695i | \(0.474114\pi\) | |||||||
\(908\) | −359.150 | − | 704.872i | −0.395540 | − | 0.776291i | ||||
\(909\) | 114.985 | + | 158.263i | 0.126496 | + | 0.174106i | ||||
\(910\) | −7.38000 | − | 110.604i | −0.00810989 | − | 0.121543i | ||||
\(911\) | 1069.38 | + | 776.951i | 1.17385 | + | 0.852855i | 0.991465 | − | 0.130371i | \(-0.0416169\pi\) |
0.182389 | + | 0.983226i | \(0.441617\pi\) | |||||||
\(912\) | 243.721 | + | 38.6016i | 0.267238 | + | 0.0423263i | ||||
\(913\) | 74.9936 | − | 473.491i | 0.0821398 | − | 0.518610i | ||||
\(914\) | −623.419 | + | 858.062i | −0.682077 | + | 0.938799i | ||||
\(915\) | 152.490 | − | 603.402i | 0.166655 | − | 0.659456i | ||||
\(916\) | 472.190 | − | 343.066i | 0.515491 | − | 0.374526i | ||||
\(917\) | −424.050 | + | 216.064i | −0.462432 | + | 0.235621i | ||||
\(918\) | −0.455403 | + | 0.455403i | −0.000496081 | + | 0.000496081i | ||||
\(919\) | −240.353 | − | 78.0956i | −0.261538 | − | 0.0849788i | 0.175313 | − | 0.984513i | \(-0.443906\pi\) |
−0.436851 | + | 0.899534i | \(0.643906\pi\) | |||||||
\(920\) | −103.942 | + | 1145.98i | −0.112981 | + | 1.24563i | ||||
\(921\) | −84.1314 | − | 258.930i | −0.0913479 | − | 0.281140i | ||||
\(922\) | 345.614 | − | 678.305i | 0.374852 | − | 0.735689i | ||||
\(923\) | 522.944 | − | 82.8262i | 0.566570 | − | 0.0897358i | ||||
\(924\) | − | 24.5250i | − | 0.0265422i | ||||||
\(925\) | 15.8313 | − | 664.263i | 0.0171149 | − | 0.718122i | ||||
\(926\) | 583.475 | 0.630103 | ||||||||
\(927\) | −32.7121 | − | 206.536i | −0.0352881 | − | 0.222800i | ||||
\(928\) | −872.757 | − | 444.692i | −0.940471 | − | 0.479194i | ||||
\(929\) | 880.302 | − | 286.027i | 0.947580 | − | 0.307887i | 0.205848 | − | 0.978584i | \(-0.434005\pi\) |
0.741732 | + | 0.670697i | \(0.234005\pi\) | |||||||
\(930\) | −18.3773 | − | 80.7747i | −0.0197605 | − | 0.0868545i | ||||
\(931\) | 434.050 | − | 1335.87i | 0.466219 | − | 1.43488i | ||||
\(932\) | 232.634 | + | 232.634i | 0.249608 | + | 0.249608i | ||||
\(933\) | 116.175 | + | 228.006i | 0.124518 | + | 0.244379i | ||||
\(934\) | 100.837 | + | 138.790i | 0.107963 | + | 0.148598i | ||||
\(935\) | 0.907511 | + | 1.08856i | 0.000970600 | + | 0.00116423i | ||||
\(936\) | −143.797 | − | 104.474i | −0.153629 | − | 0.111618i | ||||
\(937\) | 970.377 | + | 153.693i | 1.03562 | + | 0.164026i | 0.651023 | − | 0.759058i | \(-0.274340\pi\) |
0.384598 | + | 0.923084i | \(0.374340\pi\) | |||||||
\(938\) | −64.2732 | + | 405.805i | −0.0685216 | + | 0.432628i | ||||
\(939\) | −390.710 | + | 537.767i | −0.416092 | + | 0.572701i | ||||
\(940\) | 141.330 | − | 117.824i | 0.150351 | − | 0.125345i | ||||
\(941\) | −1067.29 | + | 775.433i | −1.13421 | + | 0.824052i | −0.986302 | − | 0.164950i | \(-0.947254\pi\) |
−0.147908 | + | 0.989001i | \(0.547254\pi\) | |||||||
\(942\) | −249.506 | + | 127.129i | −0.264868 | + | 0.134957i | ||||
\(943\) | −1255.70 | + | 1255.70i | −1.33160 | + | 1.33160i | ||||
\(944\) | 193.057 | + | 62.7280i | 0.204509 | + | 0.0664491i | ||||
\(945\) | 56.3181 | − | 12.8131i | 0.0595959 | − | 0.0135589i | ||||
\(946\) | −22.0003 | − | 67.7101i | −0.0232562 | − | 0.0715752i | ||||
\(947\) | −424.436 | + | 833.002i | −0.448190 | + | 0.879622i | 0.550798 | + | 0.834639i | \(0.314323\pi\) |
−0.998988 | + | 0.0449833i | \(0.985677\pi\) | |||||||
\(948\) | −477.255 | + | 75.5898i | −0.503434 | + | 0.0797361i | ||||
\(949\) | 616.976i | 0.650133i | ||||||||
\(950\) | 1143.35 | + | 27.2495i | 1.20353 | + | 0.0286836i | ||||
\(951\) | 708.855 | 0.745378 | ||||||||
\(952\) | 0.256079 | + | 1.61682i | 0.000268991 | + | 0.00169834i | ||||
\(953\) | 794.055 | + | 404.591i | 0.833216 | + | 0.424545i | 0.817916 | − | 0.575338i | \(-0.195130\pi\) |
0.0153004 | + | 0.999883i | \(0.495130\pi\) | |||||||
\(954\) | 247.341 | − | 80.3658i | 0.259267 | − | 0.0842409i | ||||
\(955\) | 202.904 | + | 18.4037i | 0.212465 | + | 0.0192709i | ||||
\(956\) | −157.132 | + | 483.602i | −0.164364 | + | 0.505860i | ||||
\(957\) | 142.183 | + | 142.183i | 0.148572 | + | 0.148572i | ||||
\(958\) | 221.481 | + | 434.680i | 0.231191 | + | 0.453737i | ||||
\(959\) | 124.359 | + | 171.165i | 0.129676 | + | 0.178483i | ||||
\(960\) | −483.660 | − | 122.229i | −0.503812 | − | 0.127322i | ||||
\(961\) | 741.515 | + | 538.742i | 0.771608 | + | 0.560606i | ||||
\(962\) | 261.791 | + | 41.4636i | 0.272132 | + | 0.0431015i | ||||
\(963\) | −33.8253 | + | 213.565i | −0.0351249 | + | 0.221770i | ||||
\(964\) | −541.971 | + | 745.959i | −0.562210 | + | 0.773816i | ||||
\(965\) | −1175.52 | + | 78.4356i | −1.21815 | + | 0.0812804i | ||||
\(966\) | 120.671 | − | 87.6725i | 0.124918 | − | 0.0907583i | ||||
\(967\) | −624.105 | + | 317.998i | −0.645404 | + | 0.328850i | −0.745871 | − | 0.666091i | \(-0.767966\pi\) |
0.100467 | + | 0.994940i | \(0.467966\pi\) | |||||||
\(968\) | −664.478 | + | 664.478i | −0.686444 | + | 0.686444i | ||||
\(969\) | −4.53627 | − | 1.47392i | −0.00468140 | − | 0.00152108i | ||||
\(970\) | −480.548 | − | 805.572i | −0.495410 | − | 0.830486i | ||||
\(971\) | −2.06234 | − | 6.34723i | −0.00212393 | − | 0.00653680i | 0.949989 | − | 0.312284i | \(-0.101094\pi\) |
−0.952113 | + | 0.305747i | \(0.901094\pi\) | |||||||
\(972\) | 13.7363 | − | 26.9591i | 0.0141320 | − | 0.0277357i | ||||
\(973\) | 87.4862 | − | 13.8565i | 0.0899139 | − | 0.0142410i | ||||
\(974\) | − | 542.801i | − | 0.557290i | ||||||
\(975\) | −264.809 | − | 142.975i | −0.271599 | − | 0.146641i | ||||
\(976\) | 321.143 | 0.329040 | ||||||||
\(977\) | 244.140 | + | 1541.44i | 0.249887 | + | 1.57772i | 0.719271 | + | 0.694730i | \(0.244476\pi\) |
−0.469384 | + | 0.882994i | \(0.655524\pi\) | |||||||
\(978\) | −472.526 | − | 240.764i | −0.483155 | − | 0.246180i | ||||
\(979\) | 187.523 | − | 60.9298i | 0.191545 | − | 0.0622368i | ||||
\(980\) | −168.322 | + | 393.053i | −0.171757 | + | 0.401074i | ||||
\(981\) | 92.9723 | − | 286.139i | 0.0947729 | − | 0.291681i | ||||
\(982\) | 81.2314 | + | 81.2314i | 0.0827204 | + | 0.0827204i | ||||
\(983\) | 165.564 | + | 324.937i | 0.168427 | + | 0.330556i | 0.959757 | − | 0.280833i | \(-0.0906108\pi\) |
−0.791330 | + | 0.611390i | \(0.790611\pi\) | |||||||
\(984\) | −570.913 | − | 785.795i | −0.580197 | − | 0.798572i | ||||
\(985\) | 118.924 | − | 47.6080i | 0.120735 | − | 0.0483330i | ||||
\(986\) | −3.54747 | − | 2.57738i | −0.00359784 | − | 0.00261398i | ||||
\(987\) | −72.1051 | − | 11.4203i | −0.0730548 | − | 0.0115707i | ||||
\(988\) | 67.2773 | − | 424.772i | 0.0680944 | − | 0.429931i | ||||
\(989\) | −239.918 | + | 330.219i | −0.242587 | + | 0.333892i | ||||
\(990\) | 59.7785 | + | 37.6192i | 0.0603823 | + | 0.0379992i | ||||
\(991\) | 367.512 | − | 267.013i | 0.370850 | − | 0.269438i | −0.386714 | − | 0.922200i | \(-0.626390\pi\) |
0.757563 | + | 0.652762i | \(0.226390\pi\) | |||||||
\(992\) | −164.450 | + | 83.7916i | −0.165776 | + | 0.0844673i | ||||
\(993\) | 350.762 | − | 350.762i | 0.353234 | − | 0.353234i | ||||
\(994\) | −231.124 | − | 75.0968i | −0.232519 | − | 0.0755501i | ||||
\(995\) | 349.017 | − | 398.923i | 0.350771 | − | 0.400928i | ||||
\(996\) | −151.770 | − | 467.099i | −0.152379 | − | 0.468975i | ||||
\(997\) | −219.351 | + | 430.501i | −0.220011 | + | 0.431796i | −0.974460 | − | 0.224563i | \(-0.927904\pi\) |
0.754448 | + | 0.656359i | \(0.227904\pi\) | |||||||
\(998\) | −312.751 | + | 49.5349i | −0.313378 | + | 0.0496342i | ||||
\(999\) | 138.104i | 0.138242i |
(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 | 75.3.k.a.37.3 | ✓ | 80 | |
3.2 | odd | 2 | 225.3.r.b.37.8 | 80 | |||
5.2 | odd | 4 | 375.3.k.b.43.8 | 80 | |||
5.3 | odd | 4 | 375.3.k.c.43.3 | 80 | |||
5.4 | even | 2 | 375.3.k.a.82.8 | 80 | |||
25.2 | odd | 20 | 375.3.k.a.343.8 | 80 | |||
25.11 | even | 5 | 375.3.k.c.157.3 | 80 | |||
25.14 | even | 10 | 375.3.k.b.157.8 | 80 | |||
25.23 | odd | 20 | inner | 75.3.k.a.73.3 | yes | 80 | |
75.23 | even | 20 | 225.3.r.b.73.8 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
75.3.k.a.37.3 | ✓ | 80 | 1.1 | even | 1 | trivial | |
75.3.k.a.73.3 | yes | 80 | 25.23 | odd | 20 | inner | |
225.3.r.b.37.8 | 80 | 3.2 | odd | 2 | |||
225.3.r.b.73.8 | 80 | 75.23 | even | 20 | |||
375.3.k.a.82.8 | 80 | 5.4 | even | 2 | |||
375.3.k.a.343.8 | 80 | 25.2 | odd | 20 | |||
375.3.k.b.43.8 | 80 | 5.2 | odd | 4 | |||
375.3.k.b.157.8 | 80 | 25.14 | even | 10 | |||
375.3.k.c.43.3 | 80 | 5.3 | odd | 4 | |||
375.3.k.c.157.3 | 80 | 25.11 | even | 5 |