Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [324,3,Mod(19,324)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(324, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 16]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("324.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 324 = 2^{2} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 324.j (of order \(18\), degree \(6\), not 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: | \(8.82836056527\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 108) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 199.33 | ||
Character | \(\chi\) | \(=\) | 324.199 |
Dual form | 324.3.j.a.127.33 |
$q$-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 \(\left(\mathbb{Z}/324\mathbb{Z}\right)^\times\).
\(n\) | \(163\) | \(245\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.97098 | + | 0.339470i | 0.985490 | + | 0.169735i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 3.76952 | + | 1.33818i | 0.942380 | + | 0.334544i | ||||
\(5\) | −7.18780 | + | 2.61614i | −1.43756 | + | 0.523229i | −0.939088 | − | 0.343677i | \(-0.888327\pi\) |
−0.498471 | + | 0.866906i | \(0.666105\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −5.65258 | + | 0.996703i | −0.807512 | + | 0.142386i | −0.562139 | − | 0.827043i | \(-0.690021\pi\) |
−0.245373 | + | 0.969429i | \(0.578910\pi\) | |||||||
\(8\) | 6.97538 | + | 3.91715i | 0.871922 | + | 0.489644i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −15.0551 | + | 2.71633i | −1.50551 | + | 0.271633i | ||||
\(11\) | −2.01574 | + | 5.53819i | −0.183249 | + | 0.503472i | −0.996970 | − | 0.0777831i | \(-0.975216\pi\) |
0.813722 | + | 0.581255i | \(0.197438\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 8.25839 | + | 6.92961i | 0.635261 | + | 0.533047i | 0.902559 | − | 0.430567i | \(-0.141686\pi\) |
−0.267298 | + | 0.963614i | \(0.586131\pi\) | |||||||
\(14\) | −11.4795 | + | 0.0456012i | −0.819962 | + | 0.00325723i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 12.4186 | + | 10.0886i | 0.776161 | + | 0.630535i | ||||
\(17\) | −10.4844 | + | 18.1596i | −0.616731 | + | 1.06821i | 0.373347 | + | 0.927692i | \(0.378210\pi\) |
−0.990078 | + | 0.140518i | \(0.955123\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −21.5373 | + | 12.4346i | −1.13354 | + | 0.654450i | −0.944823 | − | 0.327581i | \(-0.893767\pi\) |
−0.188718 | + | 0.982031i | \(0.560433\pi\) | |||||||
\(20\) | −30.5954 | + | 0.243079i | −1.52977 | + | 0.0121540i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −5.85302 | + | 10.2314i | −0.266046 | + | 0.465063i | ||||
\(23\) | −20.5338 | − | 3.62067i | −0.892776 | − | 0.157420i | −0.291603 | − | 0.956539i | \(-0.594189\pi\) |
−0.601173 | + | 0.799119i | \(0.705300\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 25.6691 | − | 21.5389i | 1.02676 | − | 0.861557i | ||||
\(26\) | 13.9247 | + | 16.4616i | 0.535566 | + | 0.633138i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −22.6413 | − | 3.80705i | −0.808617 | − | 0.135966i | ||||
\(29\) | 30.1767 | − | 25.3212i | 1.04058 | − | 0.873146i | 0.0485038 | − | 0.998823i | \(-0.484555\pi\) |
0.992071 | + | 0.125677i | \(0.0401102\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −10.3697 | − | 1.82845i | −0.334505 | − | 0.0589823i | 0.00387293 | − | 0.999993i | \(-0.498767\pi\) |
−0.338378 | + | 0.941010i | \(0.609878\pi\) | |||||||
\(32\) | 21.0520 | + | 24.1001i | 0.657875 | + | 0.753127i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −26.8292 | + | 32.2330i | −0.789094 | + | 0.948029i | ||||
\(35\) | 38.0221 | − | 21.9521i | 1.08635 | − | 0.627202i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.83871 | + | 3.18474i | −0.0496950 | + | 0.0860742i | −0.889803 | − | 0.456345i | \(-0.849158\pi\) |
0.840108 | + | 0.542419i | \(0.182492\pi\) | |||||||
\(38\) | −46.6707 | + | 17.1970i | −1.22818 | + | 0.452553i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −60.3854 | − | 9.90710i | −1.50964 | − | 0.247678i | ||||
\(41\) | 51.1323 | + | 42.9051i | 1.24713 | + | 1.04647i | 0.996932 | + | 0.0782699i | \(0.0249396\pi\) |
0.250196 | + | 0.968195i | \(0.419505\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 28.3547 | − | 77.9040i | 0.659412 | − | 1.81172i | 0.0798268 | − | 0.996809i | \(-0.474563\pi\) |
0.579585 | − | 0.814912i | \(-0.303215\pi\) | |||||||
\(44\) | −15.0094 | + | 18.1789i | −0.341123 | + | 0.413157i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −39.2427 | − | 14.1069i | −0.853102 | − | 0.306671i | ||||
\(47\) | 33.3947 | − | 5.88839i | 0.710526 | − | 0.125285i | 0.193308 | − | 0.981138i | \(-0.438078\pi\) |
0.517219 | + | 0.855853i | \(0.326967\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −15.0867 | + | 5.49110i | −0.307891 | + | 0.112063i | ||||
\(50\) | 57.9051 | − | 33.7389i | 1.15810 | − | 0.674778i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 21.8571 | + | 37.1725i | 0.420330 | + | 0.714855i | ||||
\(53\) | 43.9772 | 0.829758 | 0.414879 | − | 0.909877i | \(-0.363824\pi\) | ||||
0.414879 | + | 0.909877i | \(0.363824\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 45.0808i | − | 0.819651i | ||||||
\(56\) | −43.3331 | − | 15.1896i | −0.773806 | − | 0.271244i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 68.0734 | − | 39.6636i | 1.17368 | − | 0.683855i | ||||
\(59\) | 9.37752 | + | 25.7645i | 0.158941 | + | 0.436687i | 0.993444 | − | 0.114316i | \(-0.0364676\pi\) |
−0.834503 | + | 0.551003i | \(0.814245\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.47945 | − | 8.39040i | −0.0242533 | − | 0.137548i | 0.970277 | − | 0.241998i | \(-0.0778028\pi\) |
−0.994530 | + | 0.104450i | \(0.966692\pi\) | |||||||
\(62\) | −19.8177 | − | 7.12403i | −0.319640 | − | 0.114904i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 33.3118 | + | 54.6473i | 0.520497 | + | 0.853863i | ||||
\(65\) | −77.4885 | − | 28.2035i | −1.19213 | − | 0.433900i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −31.0935 | + | 37.0558i | −0.464083 | + | 0.553072i | −0.946431 | − | 0.322908i | \(-0.895340\pi\) |
0.482348 | + | 0.875980i | \(0.339784\pi\) | |||||||
\(68\) | −63.8219 | + | 54.4228i | −0.938558 | + | 0.800336i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 82.3928 | − | 30.3597i | 1.17704 | − | 0.433710i | ||||
\(71\) | −24.2168 | − | 13.9816i | −0.341082 | − | 0.196924i | 0.319668 | − | 0.947530i | \(-0.396429\pi\) |
−0.660751 | + | 0.750606i | \(0.729762\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 43.5064 | + | 75.3554i | 0.595979 | + | 1.03227i | 0.993408 | + | 0.114633i | \(0.0365691\pi\) |
−0.397429 | + | 0.917633i | \(0.630098\pi\) | |||||||
\(74\) | −4.70519 | + | 5.65288i | −0.0635837 | + | 0.0763903i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −97.8249 | + | 18.0517i | −1.28717 | + | 0.237522i | ||||
\(77\) | 5.87418 | − | 33.3142i | 0.0762881 | − | 0.432651i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −11.6931 | − | 13.9353i | −0.148014 | − | 0.176396i | 0.686943 | − | 0.726711i | \(-0.258952\pi\) |
−0.834957 | + | 0.550315i | \(0.814508\pi\) | |||||||
\(80\) | −115.655 | − | 40.0257i | −1.44569 | − | 0.500321i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 86.2157 | + | 101.923i | 1.05141 | + | 1.24296i | ||||
\(83\) | −8.95501 | − | 10.6722i | −0.107892 | − | 0.128580i | 0.709396 | − | 0.704810i | \(-0.248968\pi\) |
−0.817288 | + | 0.576230i | \(0.804523\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 27.8519 | − | 157.956i | 0.327669 | − | 1.85831i | ||||
\(86\) | 82.3326 | − | 143.922i | 0.957356 | − | 1.67351i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −35.7545 | + | 30.7350i | −0.406301 | + | 0.349262i | ||||
\(89\) | 81.2903 | + | 140.799i | 0.913374 | + | 1.58201i | 0.809264 | + | 0.587445i | \(0.199866\pi\) |
0.104110 | + | 0.994566i | \(0.466801\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −53.5880 | − | 30.9390i | −0.588879 | − | 0.339989i | ||||
\(92\) | −72.5576 | − | 41.1261i | −0.788670 | − | 0.447022i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 67.8193 | − | 0.269406i | 0.721482 | − | 0.00286602i | ||||
\(95\) | 122.275 | − | 145.722i | 1.28711 | − | 1.53391i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 39.6511 | + | 14.4318i | 0.408775 | + | 0.148782i | 0.538219 | − | 0.842805i | \(-0.319097\pi\) |
−0.129445 | + | 0.991587i | \(0.541319\pi\) | |||||||
\(98\) | −31.5996 | + | 5.70138i | −0.322445 | + | 0.0581774i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 125.583 | − | 46.8417i | 1.25583 | − | 0.468417i | ||||
\(101\) | −19.0016 | − | 107.763i | −0.188134 | − | 1.06696i | −0.921862 | − | 0.387519i | \(-0.873332\pi\) |
0.733728 | − | 0.679444i | \(-0.237779\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.336017 | − | 0.923198i | −0.00326230 | − | 0.00896309i | 0.938051 | − | 0.346498i | \(-0.112629\pi\) |
−0.941313 | + | 0.337535i | \(0.890407\pi\) | |||||||
\(104\) | 30.4610 | + | 80.6860i | 0.292895 | + | 0.775827i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 86.6781 | + | 14.9289i | 0.817718 | + | 0.140839i | ||||
\(107\) | 129.179i | 1.20728i | 0.797258 | + | 0.603639i | \(0.206283\pi\) | ||||
−0.797258 | + | 0.603639i | \(0.793717\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −160.479 | −1.47229 | −0.736144 | − | 0.676825i | \(-0.763355\pi\) | ||||
−0.736144 | + | 0.676825i | \(0.763355\pi\) | |||||||
\(110\) | 15.3036 | − | 88.8534i | 0.139123 | − | 0.807758i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −80.2523 | − | 44.6488i | −0.716538 | − | 0.398650i | ||||
\(113\) | −61.3383 | + | 22.3253i | −0.542817 | + | 0.197569i | −0.598852 | − | 0.800860i | \(-0.704376\pi\) |
0.0560354 | + | 0.998429i | \(0.482154\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 157.065 | − | 27.6948i | 1.36578 | − | 0.240825i | ||||
\(116\) | 147.636 | − | 55.0673i | 1.27272 | − | 0.474718i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 9.73662 | + | 53.9647i | 0.0825138 | + | 0.457328i | ||||
\(119\) | 41.1644 | − | 113.098i | 0.345919 | − | 0.950405i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 66.0830 | + | 55.4502i | 0.546141 | + | 0.458267i | ||||
\(122\) | −0.0676881 | − | 17.0395i | −0.000554820 | − | 0.139668i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −36.6419 | − | 20.7688i | −0.295499 | − | 0.167490i | ||||
\(125\) | −32.5416 | + | 56.3637i | −0.260333 | + | 0.450909i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 42.9918 | − | 24.8213i | 0.338518 | − | 0.195443i | −0.321099 | − | 0.947046i | \(-0.604052\pi\) |
0.659616 | + | 0.751602i | \(0.270719\pi\) | |||||||
\(128\) | 47.1058 | + | 119.017i | 0.368014 | + | 0.929820i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −143.154 | − | 81.8935i | −1.10118 | − | 0.629950i | ||||
\(131\) | −170.857 | − | 30.1266i | −1.30425 | − | 0.229974i | −0.522002 | − | 0.852944i | \(-0.674815\pi\) |
−0.782246 | + | 0.622970i | \(0.785926\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 109.348 | − | 91.7536i | 0.822163 | − | 0.689877i | ||||
\(134\) | −73.8641 | + | 62.4810i | −0.551224 | + | 0.466276i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −144.267 | + | 85.6007i | −1.06078 | + | 0.629417i | ||||
\(137\) | −38.4087 | + | 32.2287i | −0.280356 | + | 0.235246i | −0.772112 | − | 0.635487i | \(-0.780800\pi\) |
0.491756 | + | 0.870733i | \(0.336355\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 183.877 | + | 32.4224i | 1.32285 | + | 0.233255i | 0.790081 | − | 0.613003i | \(-0.210039\pi\) |
0.532773 | + | 0.846258i | \(0.321150\pi\) | |||||||
\(140\) | 172.701 | − | 31.8685i | 1.23358 | − | 0.227632i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −42.9846 | − | 35.7783i | −0.302708 | − | 0.251960i | ||||
\(143\) | −55.0242 | + | 31.7682i | −0.384785 | + | 0.222156i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −150.660 | + | 260.950i | −1.03903 | + | 1.79966i | ||||
\(146\) | 60.1695 | + | 163.293i | 0.412120 | + | 1.11845i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −11.1928 | + | 9.54444i | −0.0756271 | + | 0.0644895i | ||||
\(149\) | −29.7807 | − | 24.9890i | −0.199871 | − | 0.167711i | 0.537359 | − | 0.843354i | \(-0.319422\pi\) |
−0.737230 | + | 0.675642i | \(0.763866\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −97.1070 | + | 266.799i | −0.643093 | + | 1.76688i | −0.00130597 | + | 0.999999i | \(0.500416\pi\) |
−0.641787 | + | 0.766883i | \(0.721807\pi\) | |||||||
\(152\) | −198.939 | + | 2.37090i | −1.30881 | + | 0.0155980i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 22.8870 | − | 63.6674i | 0.148617 | − | 0.413425i | ||||
\(155\) | 79.3185 | − | 13.9860i | 0.511732 | − | 0.0902322i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 137.397 | − | 50.0085i | 0.875141 | − | 0.318525i | 0.134894 | − | 0.990860i | \(-0.456931\pi\) |
0.740247 | + | 0.672335i | \(0.234708\pi\) | |||||||
\(158\) | −18.3162 | − | 31.4356i | −0.115925 | − | 0.198959i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −214.367 | − | 118.151i | −1.33979 | − | 0.738446i | ||||
\(161\) | 119.678 | 0.743341 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 55.1271i | − | 0.338203i | −0.985599 | − | 0.169102i | \(-0.945913\pi\) | ||
0.985599 | − | 0.169102i | \(-0.0540866\pi\) | |||||||
\(164\) | 135.330 | + | 230.155i | 0.825181 | + | 1.40339i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −14.0273 | − | 24.0746i | −0.0845016 | − | 0.145028i | ||||
\(167\) | −58.1117 | − | 159.661i | −0.347974 | − | 0.956051i | −0.983007 | − | 0.183566i | \(-0.941236\pi\) |
0.635033 | − | 0.772485i | \(-0.280986\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.16507 | − | 51.9777i | −0.0542312 | − | 0.307560i | ||||
\(170\) | 108.517 | − | 301.873i | 0.638334 | − | 1.77572i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 211.133 | − | 255.717i | 1.22752 | − | 1.48673i | ||||
\(173\) | −87.8563 | − | 31.9771i | −0.507840 | − | 0.184839i | 0.0753771 | − | 0.997155i | \(-0.475984\pi\) |
−0.583217 | + | 0.812317i | \(0.698206\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −123.629 | + | 147.335i | −0.706450 | + | 0.841914i | ||||
\(176\) | −80.9049 | + | 48.4405i | −0.459687 | + | 0.275230i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 112.425 | + | 305.107i | 0.631599 | + | 1.71409i | ||||
\(179\) | −130.749 | − | 75.4882i | −0.730444 | − | 0.421722i | 0.0881407 | − | 0.996108i | \(-0.471908\pi\) |
−0.818585 | + | 0.574386i | \(0.805241\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 9.82485 | + | 17.0171i | 0.0542809 | + | 0.0940173i | 0.891889 | − | 0.452254i | \(-0.149380\pi\) |
−0.837608 | + | 0.546272i | \(0.816047\pi\) | |||||||
\(182\) | −95.1179 | − | 79.1717i | −0.522626 | − | 0.435009i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −129.049 | − | 105.690i | −0.701351 | − | 0.574401i | ||||
\(185\) | 4.88455 | − | 27.7016i | 0.0264029 | − | 0.149739i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −79.4372 | − | 94.6696i | −0.424798 | − | 0.506255i | ||||
\(188\) | 133.762 | + | 22.4916i | 0.711499 | + | 0.119636i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 290.470 | − | 245.706i | 1.52879 | − | 1.29319i | ||||
\(191\) | 161.522 | + | 192.495i | 0.845667 | + | 1.00783i | 0.999804 | + | 0.0197775i | \(0.00629580\pi\) |
−0.154137 | + | 0.988049i | \(0.549260\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.54996 | − | 14.4615i | 0.0132122 | − | 0.0749303i | −0.977489 | − | 0.210988i | \(-0.932332\pi\) |
0.990701 | + | 0.136057i | \(0.0434431\pi\) | |||||||
\(194\) | 73.2524 | + | 41.9052i | 0.377590 | + | 0.216006i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −64.2176 | + | 0.510206i | −0.327641 | + | 0.00260309i | ||||
\(197\) | −104.711 | − | 181.365i | −0.531528 | − | 0.920634i | −0.999323 | − | 0.0367968i | \(-0.988285\pi\) |
0.467794 | − | 0.883837i | \(-0.345049\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 4.56353 | + | 2.63476i | 0.0229323 | + | 0.0132400i | 0.511422 | − | 0.859330i | \(-0.329119\pi\) |
−0.488490 | + | 0.872569i | \(0.662452\pi\) | |||||||
\(200\) | 263.423 | − | 49.6924i | 1.31711 | − | 0.248462i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.869361 | − | 218.850i | −0.00430377 | − | 1.08341i | ||||
\(203\) | −145.338 | + | 173.208i | −0.715953 | + | 0.853239i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −479.774 | − | 174.623i | −2.34036 | − | 0.851822i | ||||
\(206\) | −0.348884 | − | 1.93367i | −0.00169361 | − | 0.00938676i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 32.6476 | + | 169.371i | 0.156960 | + | 0.814284i | ||||
\(209\) | −25.4514 | − | 144.342i | −0.121777 | − | 0.690633i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 30.7845 | + | 84.5797i | 0.145898 | + | 0.400852i | 0.991019 | − | 0.133724i | \(-0.0426936\pi\) |
−0.845120 | + | 0.534576i | \(0.820471\pi\) | |||||||
\(212\) | 165.773 | + | 58.8491i | 0.781947 | + | 0.277590i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −43.8522 | + | 254.609i | −0.204917 | + | 1.18976i | ||||
\(215\) | 634.138i | 2.94948i | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 60.4378 | 0.278515 | ||||||||
\(218\) | −316.302 | − | 54.4779i | −1.45092 | − | 0.249898i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 60.3260 | − | 169.933i | 0.274209 | − | 0.772423i | ||||
\(221\) | −212.423 | + | 77.3157i | −0.961191 | + | 0.349845i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 233.603 | − | 41.1905i | 1.04755 | − | 0.184711i | 0.376722 | − | 0.926326i | \(-0.377051\pi\) |
0.670825 | + | 0.741616i | \(0.265940\pi\) | |||||||
\(224\) | −143.019 | − | 115.245i | −0.638477 | − | 0.514487i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −128.475 | + | 23.1802i | −0.568475 | + | 0.102567i | ||||
\(227\) | −92.2846 | + | 253.550i | −0.406540 | + | 1.11696i | 0.552456 | + | 0.833542i | \(0.313691\pi\) |
−0.958996 | + | 0.283418i | \(0.908532\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 132.829 | + | 111.457i | 0.580039 | + | 0.486710i | 0.884960 | − | 0.465667i | \(-0.154186\pi\) |
−0.304921 | + | 0.952378i | \(0.598630\pi\) | |||||||
\(230\) | 318.974 | − | 1.26710i | 1.38684 | − | 0.00550911i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 309.681 | − | 58.4186i | 1.33483 | − | 0.251804i | ||||
\(233\) | 85.3765 | − | 147.877i | 0.366423 | − | 0.634663i | −0.622580 | − | 0.782556i | \(-0.713916\pi\) |
0.989003 | + | 0.147893i | \(0.0472490\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −224.630 | + | 129.690i | −0.955871 | + | 0.551872i | ||||
\(236\) | 0.871312 | + | 109.669i | 0.00369200 | + | 0.464698i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 119.528 | − | 208.940i | 0.502217 | − | 0.877900i | ||||
\(239\) | −126.129 | − | 22.2400i | −0.527738 | − | 0.0930544i | −0.0965700 | − | 0.995326i | \(-0.530787\pi\) |
−0.431168 | + | 0.902272i | \(0.641898\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −126.565 | + | 106.201i | −0.525167 | + | 0.440668i | −0.866429 | − | 0.499301i | \(-0.833590\pi\) |
0.341261 | + | 0.939968i | \(0.389146\pi\) | |||||||
\(242\) | 111.425 | + | 131.724i | 0.460432 | + | 0.544316i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 5.65099 | − | 33.6076i | 0.0231598 | − | 0.137736i | ||||
\(245\) | 94.0744 | − | 78.9378i | 0.383977 | − | 0.322195i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −264.030 | − | 46.5556i | −1.06895 | − | 0.188484i | ||||
\(248\) | −65.1700 | − | 53.3737i | −0.262782 | − | 0.215217i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −83.2725 | + | 100.045i | −0.333090 | + | 0.400179i | ||||
\(251\) | 114.384 | − | 66.0395i | 0.455712 | − | 0.263106i | −0.254527 | − | 0.967066i | \(-0.581920\pi\) |
0.710240 | + | 0.703960i | \(0.248587\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 61.4428 | − | 106.422i | 0.242857 | − | 0.420640i | ||||
\(254\) | 93.1620 | − | 34.3279i | 0.366779 | − | 0.135149i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 52.4420 | + | 250.571i | 0.204852 | + | 0.978793i | ||||
\(257\) | −7.69515 | − | 6.45700i | −0.0299422 | − | 0.0251245i | 0.627694 | − | 0.778460i | \(-0.283999\pi\) |
−0.657636 | + | 0.753336i | \(0.728443\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 7.21923 | − | 19.8347i | 0.0278735 | − | 0.0765818i | ||||
\(260\) | −254.353 | − | 210.007i | −0.978281 | − | 0.807718i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −326.528 | − | 117.380i | −1.24629 | − | 0.448013i | ||||
\(263\) | 97.1175 | − | 17.1244i | 0.369268 | − | 0.0651119i | 0.0140650 | − | 0.999901i | \(-0.495523\pi\) |
0.355203 | + | 0.934789i | \(0.384412\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −316.099 | + | 115.051i | −1.19283 | + | 0.434153i | ||||
\(266\) | 246.670 | − | 143.724i | 0.927329 | − | 0.540317i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −166.795 | + | 98.0742i | −0.622369 | + | 0.365948i | ||||
\(269\) | −39.0655 | −0.145225 | −0.0726125 | − | 0.997360i | \(-0.523134\pi\) | ||||
−0.0726125 | + | 0.997360i | \(0.523134\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 286.162i | 1.05595i | 0.849260 | + | 0.527975i | \(0.177049\pi\) | ||||
−0.849260 | + | 0.527975i | \(0.822951\pi\) | |||||||
\(272\) | −313.405 | + | 119.743i | −1.15223 | + | 0.440232i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −86.6435 | + | 50.4836i | −0.316217 | + | 0.184247i | ||||
\(275\) | 67.5445 | + | 185.577i | 0.245616 | + | 0.674826i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 11.2278 | + | 63.6758i | 0.0405334 | + | 0.229877i | 0.998344 | − | 0.0575231i | \(-0.0183203\pi\) |
−0.957811 | + | 0.287400i | \(0.907209\pi\) | |||||||
\(278\) | 351.411 | + | 126.324i | 1.26407 | + | 0.454405i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 351.208 | − | 4.18561i | 1.25431 | − | 0.0149486i | ||||
\(281\) | 370.748 | + | 134.941i | 1.31939 | + | 0.480219i | 0.903263 | − | 0.429088i | \(-0.141165\pi\) |
0.416127 | + | 0.909307i | \(0.363387\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −31.3644 | + | 37.3786i | −0.110828 | + | 0.132080i | −0.818607 | − | 0.574355i | \(-0.805253\pi\) |
0.707778 | + | 0.706435i | \(0.249698\pi\) | |||||||
\(284\) | −72.5761 | − | 85.1103i | −0.255550 | − | 0.299684i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −119.236 | + | 43.9355i | −0.416909 | + | 0.153621i | ||||
\(287\) | −331.793 | − | 191.561i | −1.15607 | − | 0.667459i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −75.3464 | − | 130.504i | −0.260714 | − | 0.451570i | ||||
\(290\) | −385.532 | + | 463.184i | −1.32942 | + | 1.59718i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 63.1598 | + | 342.273i | 0.216301 | + | 1.17217i | ||||
\(293\) | −95.7393 | + | 542.964i | −0.326755 | + | 1.85312i | 0.170287 | + | 0.985395i | \(0.445531\pi\) |
−0.497042 | + | 0.867727i | \(0.665580\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −134.807 | − | 160.657i | −0.456974 | − | 0.544600i | ||||
\(296\) | −25.3009 | + | 15.0123i | −0.0854759 | + | 0.0507172i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −50.2142 | − | 59.3625i | −0.168504 | − | 0.199203i | ||||
\(299\) | −144.487 | − | 172.192i | −0.483233 | − | 0.575894i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −82.6303 | + | 468.620i | −0.274519 | + | 1.55688i | ||||
\(302\) | −281.966 | + | 492.891i | −0.933663 | + | 1.63209i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −392.909 | − | 62.8607i | −1.29246 | − | 0.206778i | ||||
\(305\) | 32.5845 | + | 56.4380i | 0.106834 | + | 0.185043i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −256.843 | − | 148.288i | −0.836622 | − | 0.483024i | 0.0194923 | − | 0.999810i | \(-0.493795\pi\) |
−0.856115 | + | 0.516786i | \(0.827128\pi\) | |||||||
\(308\) | 66.7230 | − | 117.718i | 0.216633 | − | 0.382200i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 161.083 | − | 0.639888i | 0.519623 | − | 0.00206416i | ||||
\(311\) | −96.9784 | + | 115.574i | −0.311828 | + | 0.371622i | −0.899082 | − | 0.437781i | \(-0.855765\pi\) |
0.587254 | + | 0.809403i | \(0.300209\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −290.511 | − | 105.737i | −0.928150 | − | 0.337819i | −0.166674 | − | 0.986012i | \(-0.553303\pi\) |
−0.761476 | + | 0.648193i | \(0.775525\pi\) | |||||||
\(314\) | 287.783 | − | 51.9235i | 0.916507 | − | 0.165362i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −25.4295 | − | 68.1767i | −0.0804730 | − | 0.215749i | ||||
\(317\) | −26.3539 | − | 149.461i | −0.0831355 | − | 0.471485i | −0.997743 | − | 0.0671428i | \(-0.978612\pi\) |
0.914608 | − | 0.404342i | \(-0.132499\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 79.4056 | + | 218.165i | 0.248920 | + | 0.683903i | ||||
\(320\) | −382.404 | − | 305.645i | −1.19501 | − | 0.955140i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 235.883 | + | 40.6270i | 0.732555 | + | 0.126171i | ||||
\(323\) | − | 521.477i | − | 1.61448i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 361.242 | 1.11151 | ||||||||
\(326\) | 18.7140 | − | 108.654i | 0.0574049 | − | 0.333296i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 188.601 | + | 499.572i | 0.575004 | + | 1.52309i | ||||
\(329\) | −182.898 | + | 66.5693i | −0.555920 | + | 0.202338i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 569.180 | − | 100.362i | 1.71958 | − | 0.303208i | 0.775114 | − | 0.631822i | \(-0.217692\pi\) |
0.944464 | + | 0.328614i | \(0.106581\pi\) | |||||||
\(332\) | −19.4749 | − | 52.2123i | −0.0586592 | − | 0.157266i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −60.3370 | − | 334.415i | −0.180650 | − | 1.00124i | ||||
\(335\) | 126.551 | − | 347.695i | 0.377763 | − | 1.03790i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 340.126 | + | 285.400i | 1.00928 | + | 0.846883i | 0.988242 | − | 0.152896i | \(-0.0488599\pi\) |
0.0210336 | + | 0.999779i | \(0.493304\pi\) | |||||||
\(338\) | −0.419321 | − | 105.558i | −0.00124059 | − | 0.312302i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 316.361 | − | 558.148i | 0.930474 | − | 1.64161i | ||||
\(341\) | 31.0288 | − | 53.7435i | 0.0909936 | − | 0.157606i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 323.375 | − | 186.700i | 0.942783 | − | 0.544316i | ||||
\(344\) | 502.947 | − | 432.340i | 1.46205 | − | 1.25680i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −162.308 | − | 92.8507i | −0.469097 | − | 0.268355i | ||||
\(347\) | 539.222 | + | 95.0793i | 1.55395 | + | 0.274004i | 0.883673 | − | 0.468105i | \(-0.155063\pi\) |
0.670280 | + | 0.742108i | \(0.266174\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 308.273 | − | 258.672i | 0.883305 | − | 0.741181i | −0.0835512 | − | 0.996503i | \(-0.526626\pi\) |
0.966856 | + | 0.255323i | \(0.0821818\pi\) | |||||||
\(350\) | −293.685 | + | 248.426i | −0.839101 | + | 0.709789i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −175.906 | + | 68.0106i | −0.499733 | + | 0.193212i | ||||
\(353\) | 87.4208 | − | 73.3547i | 0.247651 | − | 0.207804i | −0.510509 | − | 0.859872i | \(-0.670543\pi\) |
0.758160 | + | 0.652069i | \(0.226099\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 210.644 | + | 37.1421i | 0.593362 | + | 0.104626i | ||||
\(356\) | 118.012 | + | 639.525i | 0.331494 | + | 1.79642i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −232.079 | − | 193.171i | −0.648264 | − | 0.539584i | ||||
\(359\) | 441.999 | − | 255.188i | 1.23120 | − | 0.710831i | 0.263916 | − | 0.964546i | \(-0.414986\pi\) |
0.967279 | + | 0.253715i | \(0.0816524\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 128.736 | − | 222.978i | 0.356610 | − | 0.617667i | ||||
\(362\) | 13.5878 | + | 36.8757i | 0.0375353 | + | 0.101866i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −160.599 | − | 188.335i | −0.441206 | − | 0.517405i | ||||
\(365\) | −509.856 | − | 427.820i | −1.39687 | − | 1.17211i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 18.6859 | − | 51.3391i | 0.0509152 | − | 0.139888i | −0.911628 | − | 0.411016i | \(-0.865174\pi\) |
0.962544 | + | 0.271127i | \(0.0873964\pi\) | |||||||
\(368\) | −218.474 | − | 252.120i | −0.593678 | − | 0.685110i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 19.0312 | − | 52.9412i | 0.0514357 | − | 0.143084i | ||||
\(371\) | −248.585 | + | 43.8322i | −0.670039 | + | 0.118146i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 620.992 | − | 226.023i | 1.66486 | − | 0.605959i | 0.673744 | − | 0.738965i | \(-0.264685\pi\) |
0.991115 | + | 0.133006i | \(0.0424629\pi\) | |||||||
\(374\) | −124.432 | − | 213.558i | −0.332705 | − | 0.571012i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 256.007 | + | 89.7386i | 0.680869 | + | 0.238666i | ||||
\(377\) | 424.677 | 1.12646 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 294.012i | − | 0.775757i | −0.921711 | − | 0.387878i | \(-0.873208\pi\) | ||
0.921711 | − | 0.387878i | \(-0.126792\pi\) | |||||||
\(380\) | 655.919 | − | 385.676i | 1.72610 | − | 1.01494i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 253.011 | + | 434.236i | 0.662333 | + | 1.13674i | ||||
\(383\) | −178.617 | − | 490.746i | −0.466362 | − | 1.28132i | −0.920624 | − | 0.390451i | \(-0.872319\pi\) |
0.454261 | − | 0.890869i | \(-0.349903\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 44.9322 | + | 254.823i | 0.116707 | + | 0.661878i | ||||
\(386\) | 9.93517 | − | 27.6378i | 0.0257388 | − | 0.0716004i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 130.153 | + | 107.461i | 0.335447 | + | 0.276962i | ||||
\(389\) | −101.361 | − | 36.8924i | −0.260568 | − | 0.0948391i | 0.208433 | − | 0.978037i | \(-0.433164\pi\) |
−0.469001 | + | 0.883198i | \(0.655386\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 281.035 | − | 334.925i | 0.718760 | − | 0.856585i | ||||
\(392\) | −126.745 | − | 20.7943i | −0.323329 | − | 0.0530467i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −144.816 | − | 393.013i | −0.367552 | − | 0.997494i | ||||
\(395\) | 120.504 | + | 69.5731i | 0.305074 | + | 0.176134i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −197.478 | − | 342.043i | −0.497427 | − | 0.861568i | 0.502569 | − | 0.864537i | \(-0.332388\pi\) |
−0.999996 | + | 0.00296877i | \(0.999055\pi\) | |||||||
\(398\) | 8.10021 | + | 6.74223i | 0.0203523 | + | 0.0169403i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 536.070 | − | 8.51864i | 1.34018 | − | 0.0212966i | ||||
\(401\) | −5.45754 | + | 30.9512i | −0.0136098 | + | 0.0771851i | −0.990856 | − | 0.134922i | \(-0.956922\pi\) |
0.977246 | + | 0.212107i | \(0.0680326\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −72.9663 | − | 86.9578i | −0.181058 | − | 0.215776i | ||||
\(404\) | 72.5792 | − | 431.643i | 0.179652 | − | 1.06842i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −345.258 | + | 292.051i | −0.850388 | + | 0.719336i | ||||
\(407\) | −13.9314 | − | 16.6027i | −0.0342294 | − | 0.0407930i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 36.6237 | − | 207.703i | 0.0895445 | − | 0.507832i | −0.906739 | − | 0.421693i | \(-0.861436\pi\) |
0.996283 | − | 0.0861391i | \(-0.0274529\pi\) | |||||||
\(410\) | −886.346 | − | 507.048i | −2.16182 | − | 1.23670i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.0312210 | − | 3.92966i | −7.57791e−5 | − | 0.00953802i | ||||
\(413\) | −78.6867 | − | 136.289i | −0.190525 | − | 0.329999i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 92.2867 | + | 53.2817i | 0.222378 | + | 0.128390i | ||||
\(416\) | 6.85149 | + | 344.910i | 0.0164699 | + | 0.829110i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −1.16446 | − | 293.136i | −0.00278578 | − | 0.701282i | ||||
\(419\) | −26.3541 | + | 31.4075i | −0.0628975 | + | 0.0749583i | −0.796576 | − | 0.604539i | \(-0.793357\pi\) |
0.733678 | + | 0.679497i | \(0.237802\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 180.665 | + | 65.7568i | 0.429134 | + | 0.156192i | 0.547551 | − | 0.836772i | \(-0.315560\pi\) |
−0.118418 | + | 0.992964i | \(0.537782\pi\) | |||||||
\(422\) | 31.9634 | + | 177.155i | 0.0757426 | + | 0.419799i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 306.757 | + | 172.265i | 0.723484 | + | 0.406286i | ||||
\(425\) | 122.012 | + | 691.962i | 0.287086 | + | 1.62815i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 16.7255 | + | 45.9529i | 0.0391697 | + | 0.107618i | ||||
\(428\) | −172.864 | + | 486.942i | −0.403887 | + | 1.13771i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −215.270 | + | 1249.87i | −0.500629 | + | 2.90668i | ||||
\(431\) | 427.089i | 0.990927i | 0.868629 | + | 0.495463i | \(0.165002\pi\) | ||||
−0.868629 | + | 0.495463i | \(0.834998\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −265.388 | −0.612906 | −0.306453 | − | 0.951886i | \(-0.599142\pi\) | ||||
−0.306453 | + | 0.951886i | \(0.599142\pi\) | |||||||
\(434\) | 119.122 | + | 20.5168i | 0.274474 | + | 0.0472737i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −604.930 | − | 214.750i | −1.38746 | − | 0.492545i | ||||
\(437\) | 487.265 | − | 177.350i | 1.11502 | − | 0.405835i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −553.109 | + | 97.5280i | −1.25993 | + | 0.222159i | −0.763437 | − | 0.645882i | \(-0.776490\pi\) |
−0.496492 | + | 0.868041i | \(0.665379\pi\) | |||||||
\(440\) | 176.589 | − | 314.456i | 0.401338 | − | 0.714672i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −444.928 | + | 80.2765i | −1.00662 | + | 0.181621i | ||||
\(443\) | 111.741 | − | 307.006i | 0.252237 | − | 0.693016i | −0.747354 | − | 0.664426i | \(-0.768676\pi\) |
0.999591 | − | 0.0285901i | \(-0.00910175\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −952.648 | − | 799.367i | −2.14078 | − | 1.79633i | ||||
\(446\) | 474.410 | − | 1.88455i | 1.06370 | − | 0.00422545i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −242.765 | − | 275.696i | −0.541886 | − | 0.615393i | ||||
\(449\) | −97.3394 | + | 168.597i | −0.216791 | + | 0.375494i | −0.953825 | − | 0.300362i | \(-0.902892\pi\) |
0.737034 | + | 0.675856i | \(0.236226\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −340.686 | + | 196.695i | −0.755400 | + | 0.436131i | ||||
\(452\) | −261.091 | + | 2.07436i | −0.577635 | + | 0.00458928i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −267.964 | + | 468.414i | −0.590228 | + | 1.03175i | ||||
\(455\) | 466.120 | + | 82.1896i | 1.02444 | + | 0.180636i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 237.405 | − | 199.206i | 0.519486 | − | 0.435900i | −0.344967 | − | 0.938615i | \(-0.612110\pi\) |
0.864452 | + | 0.502715i | \(0.167665\pi\) | |||||||
\(458\) | 223.967 | + | 264.770i | 0.489010 | + | 0.578101i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 629.121 | + | 105.785i | 1.36765 | + | 0.229966i | ||||
\(461\) | −308.002 | + | 258.445i | −0.668118 | + | 0.560617i | −0.912508 | − | 0.409060i | \(-0.865857\pi\) |
0.244390 | + | 0.969677i | \(0.421412\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 66.1231 | + | 11.6593i | 0.142814 | + | 0.0251820i | 0.244598 | − | 0.969624i | \(-0.421344\pi\) |
−0.101784 | + | 0.994807i | \(0.532455\pi\) | |||||||
\(464\) | 630.206 | − | 10.0145i | 1.35820 | − | 0.0215831i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 218.475 | − | 262.479i | 0.468830 | − | 0.563259i | ||||
\(467\) | 309.740 | − | 178.828i | 0.663254 | − | 0.382930i | −0.130261 | − | 0.991480i | \(-0.541582\pi\) |
0.793516 | + | 0.608550i | \(0.208248\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 138.825 | − | 240.452i | 0.296002 | − | 0.512691i | ||||
\(470\) | −486.766 | + | 179.361i | −1.03567 | + | 0.381620i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −35.5118 | + | 216.450i | −0.0752369 | + | 0.458581i | ||||
\(473\) | 374.291 | + | 314.068i | 0.791313 | + | 0.663991i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −285.015 | + | 783.074i | −0.600033 | + | 1.64858i | ||||
\(476\) | 306.515 | − | 371.241i | 0.643940 | − | 0.779918i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −241.049 | − | 86.6517i | −0.504286 | − | 0.181280i | ||||
\(479\) | −7.06355 | + | 1.24549i | −0.0147464 | + | 0.00260020i | −0.181017 | − | 0.983480i | \(-0.557939\pi\) |
0.166270 | + | 0.986080i | \(0.446828\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −37.2539 | + | 13.5593i | −0.0774508 | + | 0.0281898i | ||||
\(482\) | −285.510 | + | 166.355i | −0.592344 | + | 0.345134i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 174.899 | + | 297.452i | 0.361362 | + | 0.614569i | ||||
\(485\) | −322.760 | −0.665485 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 432.322i | − | 0.887725i | −0.896095 | − | 0.443862i | \(-0.853608\pi\) | ||
0.896095 | − | 0.443862i | \(-0.146392\pi\) | |||||||
\(488\) | 22.5467 | − | 64.3215i | 0.0462023 | − | 0.131806i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 212.216 | − | 123.649i | 0.433093 | − | 0.252346i | ||||
\(491\) | −61.1331 | − | 167.962i | −0.124507 | − | 0.342081i | 0.861742 | − | 0.507347i | \(-0.169374\pi\) |
−0.986249 | + | 0.165266i | \(0.947152\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 143.437 | + | 813.474i | 0.290948 | + | 1.65005i | ||||
\(494\) | −504.593 | − | 181.390i | −1.02144 | − | 0.367187i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −110.330 | − | 127.322i | −0.222440 | − | 0.256697i | ||||
\(497\) | 150.823 | + | 54.8951i | 0.303467 | + | 0.110453i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 413.773 | − | 493.116i | 0.829205 | − | 0.988208i | −0.170791 | − | 0.985307i | \(-0.554632\pi\) |
0.999996 | − | 0.00290072i | \(-0.000923328\pi\) | |||||||
\(500\) | −198.091 | + | 168.918i | −0.396181 | + | 0.337835i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 247.866 | − | 91.3327i | 0.493758 | − | 0.181938i | ||||
\(503\) | −306.467 | − | 176.939i | −0.609279 | − | 0.351767i | 0.163404 | − | 0.986559i | \(-0.447752\pi\) |
−0.772683 | + | 0.634792i | \(0.781086\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 418.503 | + | 724.869i | 0.828719 | + | 1.43538i | ||||
\(506\) | 157.229 | − | 188.898i | 0.310730 | − | 0.373315i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 195.274 | − | 36.0339i | 0.384397 | − | 0.0709329i | ||||
\(509\) | 94.0125 | − | 533.171i | 0.184700 | − | 1.04749i | −0.741639 | − | 0.670799i | \(-0.765951\pi\) |
0.926340 | − | 0.376689i | \(-0.122937\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −321.031 | − | 382.589i | −0.628240 | − | 0.748707i | ||||
\(512\) | 18.3009 | + | 511.673i | 0.0357439 | + | 0.999361i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −12.9750 | − | 15.3389i | −0.0252432 | − | 0.0298422i | ||||
\(515\) | 4.83044 | + | 5.75669i | 0.00937949 | + | 0.0111780i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −34.7039 | + | 196.816i | −0.0671256 | + | 0.380688i | ||||
\(518\) | 20.9622 | − | 36.6430i | 0.0404676 | − | 0.0707395i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −430.034 | − | 500.264i | −0.826988 | − | 0.962047i | ||||
\(521\) | −3.55297 | − | 6.15392i | −0.00681952 | − | 0.0118118i | 0.862596 | − | 0.505894i | \(-0.168837\pi\) |
−0.869415 | + | 0.494082i | \(0.835504\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 26.6849 | + | 15.4065i | 0.0510227 | + | 0.0294580i | 0.525294 | − | 0.850921i | \(-0.323955\pi\) |
−0.474272 | + | 0.880379i | \(0.657289\pi\) | |||||||
\(524\) | −603.733 | − | 342.199i | −1.15216 | − | 0.653051i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 197.230 | − | 0.783478i | 0.374962 | − | 0.00148950i | ||||
\(527\) | 141.924 | − | 169.138i | 0.269305 | − | 0.320945i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −88.5681 | − | 32.2361i | −0.167425 | − | 0.0609379i | ||||
\(530\) | −662.081 | + | 119.456i | −1.24921 | + | 0.225389i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 534.971 | − | 199.541i | 1.00558 | − | 0.375077i | ||||
\(533\) | 124.955 | + | 708.653i | 0.234437 | + | 1.32956i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −337.950 | − | 928.510i | −0.631682 | − | 1.73553i | ||||
\(536\) | −362.043 | + | 136.680i | −0.675453 | + | 0.255001i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −76.9973 | − | 13.2616i | −0.143118 | − | 0.0246497i | ||||
\(539\) | − | 94.6215i | − | 0.175550i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 74.8336 | 0.138325 | 0.0691623 | − | 0.997605i | \(-0.477967\pi\) | ||||
0.0691623 | + | 0.997605i | \(0.477967\pi\) | |||||||
\(542\) | −97.1434 | + | 564.020i | −0.179231 | + | 1.04063i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −658.365 | + | 129.620i | −1.21023 | + | 0.238271i | ||||
\(545\) | 1153.49 | − | 419.837i | 2.11650 | − | 0.770343i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −290.555 | + | 51.2327i | −0.531179 | + | 0.0936612i | −0.432804 | − | 0.901488i | \(-0.642476\pi\) |
−0.0983754 | + | 0.995149i | \(0.531365\pi\) | |||||||
\(548\) | −187.910 | + | 70.0893i | −0.342902 | + | 0.127900i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 70.1311 | + | 388.698i | 0.127511 | + | 0.706723i | ||||
\(551\) | −335.065 | + | 920.584i | −0.608104 | + | 1.67075i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 79.9854 | + | 67.1157i | 0.144639 | + | 0.121367i | ||||
\(554\) | 0.513694 | + | 129.315i | 0.000927245 | + | 0.233421i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 649.740 | + | 368.276i | 1.16860 | + | 0.662367i | ||||
\(557\) | 73.4754 | − | 127.263i | 0.131913 | − | 0.228480i | −0.792501 | − | 0.609870i | \(-0.791221\pi\) |
0.924414 | + | 0.381391i | \(0.124555\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 774.009 | − | 446.874i | 1.38463 | − | 0.799417i | ||||
\(560\) | 693.645 | + | 110.975i | 1.23865 | + | 0.198169i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 684.929 | + | 391.825i | 1.21874 | + | 0.697197i | ||||
\(563\) | −286.120 | − | 50.4507i | −0.508207 | − | 0.0896105i | −0.0863350 | − | 0.996266i | \(-0.527516\pi\) |
−0.421871 | + | 0.906656i | \(0.638627\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 382.481 | − | 320.939i | 0.676957 | − | 0.568034i | ||||
\(566\) | −74.5075 | + | 63.0253i | −0.131639 | + | 0.111352i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −114.154 | − | 192.388i | −0.200975 | − | 0.338711i | ||||
\(569\) | 37.1059 | − | 31.1355i | 0.0652125 | − | 0.0547198i | −0.609599 | − | 0.792710i | \(-0.708669\pi\) |
0.674811 | + | 0.737990i | \(0.264225\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −860.734 | − | 151.771i | −1.50741 | − | 0.265798i | −0.641941 | − | 0.766754i | \(-0.721871\pi\) |
−0.865473 | + | 0.500956i | \(0.832982\pi\) | |||||||
\(572\) | −249.926 | + | 46.1190i | −0.436934 | + | 0.0806277i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −588.928 | − | 490.196i | −1.02601 | − | 0.854000i | ||||
\(575\) | −605.070 | + | 349.337i | −1.05230 | + | 0.607543i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −92.1639 | + | 159.633i | −0.159730 | + | 0.276660i | −0.934771 | − | 0.355251i | \(-0.884396\pi\) |
0.775042 | + | 0.631910i | \(0.217729\pi\) | |||||||
\(578\) | −104.204 | − | 282.798i | −0.180284 | − | 0.489270i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −917.113 | + | 782.049i | −1.58123 | + | 1.34836i | ||||
\(581\) | 61.2559 | + | 51.3998i | 0.105432 | + | 0.0884678i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −88.6464 | + | 243.554i | −0.152052 | + | 0.417760i | ||||
\(584\) | 8.29539 | + | 696.054i | 0.0142044 | + | 1.19187i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −373.020 | + | 1037.67i | −0.636553 | + | 1.77077i | ||||
\(587\) | 624.158 | − | 110.056i | 1.06330 | − | 0.187489i | 0.385481 | − | 0.922716i | \(-0.374035\pi\) |
0.677821 | + | 0.735227i | \(0.262924\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 246.070 | − | 89.5623i | 0.417777 | − | 0.152058i | ||||
\(590\) | −211.164 | − | 362.415i | −0.357906 | − | 0.614263i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −54.9637 | + | 21.0000i | −0.0928441 | + | 0.0354730i | ||||
\(593\) | −445.495 | −0.751256 | −0.375628 | − | 0.926771i | \(-0.622573\pi\) | ||||
−0.375628 | + | 0.926771i | \(0.622573\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 920.619i | 1.54726i | ||||||||
\(596\) | −78.8194 | − | 134.048i | −0.132247 | − | 0.224913i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −226.326 | − | 388.437i | −0.378472 | − | 0.649559i | ||||
\(599\) | 304.954 | + | 837.855i | 0.509105 | + | 1.39876i | 0.882162 | + | 0.470947i | \(0.156088\pi\) |
−0.373056 | + | 0.927809i | \(0.621690\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 174.212 | + | 988.005i | 0.289870 | + | 1.64393i | 0.687352 | + | 0.726325i | \(0.258773\pi\) |
−0.397482 | + | 0.917610i | \(0.630116\pi\) | |||||||
\(602\) | −321.945 | + | 895.590i | −0.534792 | + | 1.48769i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −723.071 | + | 875.759i | −1.19714 | + | 1.44993i | ||||
\(605\) | −620.057 | − | 225.682i | −1.02489 | − | 0.373029i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −522.302 | + | 622.455i | −0.860464 | + | 1.02546i | 0.138918 | + | 0.990304i | \(0.455638\pi\) |
−0.999382 | + | 0.0351573i | \(0.988807\pi\) | |||||||
\(608\) | −753.077 | − | 257.278i | −1.23861 | − | 0.423154i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 45.0644 | + | 122.300i | 0.0738761 | + | 0.200491i | ||||
\(611\) | 316.591 | + | 182.784i | 0.518152 | + | 0.299155i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −176.799 | − | 306.225i | −0.288416 | − | 0.499551i | 0.685016 | − | 0.728528i | \(-0.259795\pi\) |
−0.973432 | + | 0.228977i | \(0.926462\pi\) | |||||||
\(614\) | −455.893 | − | 379.464i | −0.742497 | − | 0.618019i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 171.471 | − | 209.369i | 0.278363 | − | 0.339884i | ||||
\(617\) | −14.8981 | + | 84.4914i | −0.0241460 | + | 0.136939i | −0.994498 | − | 0.104758i | \(-0.966593\pi\) |
0.970352 | + | 0.241697i | \(0.0777042\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −409.962 | − | 488.574i | −0.662298 | − | 0.789296i | 0.325416 | − | 0.945571i | \(-0.394496\pi\) |
−0.987714 | + | 0.156275i | \(0.950051\pi\) | |||||||
\(620\) | 317.709 | + | 53.4216i | 0.512433 | + | 0.0861638i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −230.376 | + | 194.874i | −0.370380 | + | 0.313302i | ||||
\(623\) | −599.835 | − | 714.855i | −0.962817 | − | 1.14744i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −59.0210 | + | 334.725i | −0.0944335 | + | 0.535559i | ||||
\(626\) | −536.697 | − | 307.026i | −0.857343 | − | 0.490457i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 584.841 | − | 4.64654i | 0.931276 | − | 0.00739894i | ||||
\(629\) | −38.5557 | − | 66.7804i | −0.0612968 | − | 0.106169i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1010.86 | + | 583.618i | 1.60199 | + | 0.924909i | 0.991089 | + | 0.133203i | \(0.0425262\pi\) |
0.610901 | + | 0.791707i | \(0.290807\pi\) | |||||||
\(632\) | −26.9771 | − | 143.007i | −0.0426852 | − | 0.226277i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −1.20575 | − | 303.530i | −0.00190181 | − | 0.478754i | ||||
\(635\) | −244.080 | + | 290.883i | −0.384378 | + | 0.458084i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −162.643 | − | 59.1971i | −0.255326 | − | 0.0929312i | ||||
\(638\) | 82.4464 | + | 456.955i | 0.129226 | + | 0.716230i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −649.953 | − | 732.234i | −1.01555 | − | 1.14412i | ||||
\(641\) | −80.0762 | − | 454.134i | −0.124924 | − | 0.708478i | −0.981353 | − | 0.192214i | \(-0.938433\pi\) |
0.856429 | − | 0.516264i | \(-0.172678\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −27.9088 | − | 76.6788i | −0.0434040 | − | 0.119252i | 0.916097 | − | 0.400957i | \(-0.131322\pi\) |
−0.959501 | + | 0.281705i | \(0.909100\pi\) | |||||||
\(644\) | 451.128 | + | 160.150i | 0.700510 | + | 0.248680i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 177.025 | − | 1027.82i | 0.274033 | − | 1.59105i | ||||
\(647\) | − | 360.614i | − | 0.557363i | −0.960384 | − | 0.278682i | \(-0.910103\pi\) | ||
0.960384 | − | 0.278682i | \(-0.0898974\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −161.591 | −0.248985 | ||||||||
\(650\) | 712.000 | + | 122.631i | 1.09538 | + | 0.188662i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 73.7698 | − | 207.803i | 0.113144 | − | 0.318716i | ||||
\(653\) | −114.976 | + | 41.8479i | −0.176074 | + | 0.0640857i | −0.428553 | − | 0.903517i | \(-0.640976\pi\) |
0.252479 | + | 0.967602i | \(0.418754\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1306.90 | − | 230.441i | 1.99526 | − | 0.351819i | ||||
\(656\) | 202.140 | + | 1048.67i | 0.308140 | + | 1.59858i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −383.086 | + | 69.1185i | −0.582197 | + | 0.105043i | ||||
\(659\) | −19.5137 | + | 53.6136i | −0.0296111 | + | 0.0813560i | −0.953617 | − | 0.301022i | \(-0.902672\pi\) |
0.924006 | + | 0.382378i | \(0.124895\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −716.089 | − | 600.870i | −1.08334 | − | 0.909031i | −0.0871475 | − | 0.996195i | \(-0.527775\pi\) |
−0.996194 | + | 0.0871639i | \(0.972220\pi\) | |||||||
\(662\) | 1155.91 | − | 4.59176i | 1.74609 | − | 0.00693620i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −20.6601 | − | 109.521i | −0.0311146 | − | 0.164941i | ||||
\(665\) | −545.928 | + | 945.575i | −0.820945 | + | 1.42192i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −711.323 | + | 410.682i | −1.06645 | + | 0.615716i | ||||
\(668\) | −5.39945 | − | 679.607i | −0.00808300 | − | 1.01738i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 367.461 | − | 642.340i | 0.548449 | − | 0.958716i | ||||
\(671\) | 49.4498 | + | 8.71934i | 0.0736957 | + | 0.0129945i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 48.9893 | − | 41.1069i | 0.0727924 | − | 0.0610801i | −0.605666 | − | 0.795719i | \(-0.707093\pi\) |
0.678458 | + | 0.734639i | \(0.262649\pi\) | |||||||
\(674\) | 573.497 | + | 677.979i | 0.850886 | + | 1.00590i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 35.0073 | − | 208.195i | 0.0517860 | − | 0.307981i | ||||
\(677\) | 453.503 | − | 380.534i | 0.669872 | − | 0.562089i | −0.243156 | − | 0.969987i | \(-0.578183\pi\) |
0.913028 | + | 0.407898i | \(0.133738\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −238.516 | − | 42.0567i | −0.351275 | − | 0.0619392i | ||||
\(680\) | 813.015 | − | 992.702i | 1.19561 | − | 1.45986i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 79.4014 | − | 95.3940i | 0.116424 | − | 0.139874i | ||||
\(683\) | −187.818 | + | 108.437i | −0.274990 | + | 0.158766i | −0.631153 | − | 0.775658i | \(-0.717418\pi\) |
0.356163 | + | 0.934424i | \(0.384085\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 191.759 | − | 332.136i | 0.279940 | − | 0.484870i | ||||
\(686\) | 700.744 | − | 258.207i | 1.02149 | − | 0.376395i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1138.06 | − | 681.398i | 1.65416 | − | 0.990404i | ||||
\(689\) | 363.181 | + | 304.745i | 0.527112 | + | 0.442300i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −444.760 | + | 1221.97i | −0.643647 | + | 1.76841i | −0.00369336 | + | 0.999993i | \(0.501176\pi\) |
−0.639954 | + | 0.768413i | \(0.721047\pi\) | |||||||
\(692\) | −288.385 | − | 238.105i | −0.416741 | − | 0.344083i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 1030.52 | + | 370.449i | 1.48490 | + | 0.533788i | ||||
\(695\) | −1406.49 | + | 248.002i | −2.02373 | + | 0.356838i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1315.23 | + | 478.704i | −1.88699 | + | 0.686807i | ||||
\(698\) | 695.412 | − | 405.188i | 0.996292 | − | 0.580498i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −663.181 | + | 389.945i | −0.947401 | + | 0.557065i | ||||
\(701\) | −937.091 | −1.33679 | −0.668396 | − | 0.743806i | \(-0.733019\pi\) | ||||
−0.668396 | + | 0.743806i | \(0.733019\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 91.4543i | − | 0.130092i | ||||||
\(704\) | −369.795 | + | 74.3327i | −0.525277 | + | 0.105586i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 197.206 | − | 114.904i | 0.279329 | − | 0.162754i | ||||
\(707\) | 214.816 | + | 590.201i | 0.303841 | + | 0.834797i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −223.970 | − | 1270.20i | −0.315896 | − | 1.79153i | −0.567152 | − | 0.823613i | \(-0.691955\pi\) |
0.251256 | − | 0.967921i | \(-0.419156\pi\) | |||||||
\(710\) | 402.566 | + | 144.713i | 0.566994 | + | 0.203822i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 15.4996 | + | 1300.55i | 0.0217692 | + | 1.82662i | ||||
\(713\) | 206.309 | + | 75.0903i | 0.289353 | + | 0.105316i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 312.393 | − | 372.295i | 0.436913 | − | 0.520692i | ||||
\(716\) | −391.846 | − | 459.520i | −0.547271 | − | 0.641788i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 957.800 | − | 352.926i | 1.33398 | − | 0.491540i | ||||
\(719\) | 843.005 | + | 486.709i | 1.17247 | + | 0.676925i | 0.954260 | − | 0.298977i | \(-0.0966453\pi\) |
0.218209 | + | 0.975902i | \(0.429979\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2.81952 | + | 4.88354i | 0.00391056 | + | 0.00677329i | ||||
\(722\) | 329.431 | − | 395.783i | 0.456276 | − | 0.548176i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 14.2631 | + | 77.2938i | 0.0197004 | + | 0.106759i | ||||
\(725\) | 229.216 | − | 1299.95i | 0.316159 | − | 1.79303i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −632.891 | − | 754.250i | −0.870551 | − | 1.03748i | −0.998952 | − | 0.0457605i | \(-0.985429\pi\) |
0.128401 | − | 0.991722i | \(-0.459016\pi\) | |||||||
\(728\) | −252.603 | − | 425.724i | −0.346983 | − | 0.584785i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −859.684 | − | 1016.30i | −1.17765 | − | 1.39220i | ||||
\(731\) | 1117.42 | + | 1331.69i | 1.52862 | + | 1.82173i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 102.753 | − | 582.739i | 0.140181 | − | 0.795006i | −0.830930 | − | 0.556377i | \(-0.812191\pi\) |
0.971111 | − | 0.238629i | \(-0.0766979\pi\) | |||||||
\(734\) | 54.2576 | − | 94.8449i | 0.0739204 | − | 0.129217i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −345.020 | − | 571.089i | −0.468777 | − | 0.775937i | ||||
\(737\) | −142.546 | − | 246.897i | −0.193414 | − | 0.335002i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 722.804 | + | 417.311i | 0.978084 | + | 0.564697i | 0.901691 | − | 0.432380i | \(-0.142326\pi\) |
0.0763932 | + | 0.997078i | \(0.475660\pi\) | |||||||
\(740\) | 55.4820 | − | 97.8855i | 0.0749757 | − | 0.132278i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −504.835 | + | 2.00541i | −0.680370 | + | 0.00270271i | ||||
\(743\) | 374.265 | − | 446.031i | 0.503721 | − | 0.600311i | −0.452931 | − | 0.891546i | \(-0.649622\pi\) |
0.956652 | + | 0.291234i | \(0.0940660\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 279.433 | + | 101.705i | 0.375077 | + | 0.136517i | ||||
\(746\) | 1300.69 | − | 234.678i | 1.74355 | − | 0.314582i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −172.756 | − | 463.160i | −0.230957 | − | 0.619198i | ||||
\(749\) | −128.753 | − | 730.193i | −0.171900 | − | 0.974891i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 383.766 | + | 1054.39i | 0.511006 | + | 1.40398i | 0.880190 | + | 0.474622i | \(0.157415\pi\) |
−0.369183 | + | 0.929357i | \(0.620362\pi\) | |||||||
\(752\) | 474.121 | + | 263.779i | 0.630479 | + | 0.350770i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 837.030 | + | 144.165i | 1.11012 | + | 0.191200i | ||||
\(755\) | − | 2171.74i | − | 2.87648i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 84.4056 | 0.111500 | 0.0557501 | − | 0.998445i | \(-0.482245\pi\) | ||||
0.0557501 | + | 0.998445i | \(0.482245\pi\) | |||||||
\(758\) | 99.8080 | − | 579.491i | 0.131673 | − | 0.764500i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1423.73 | − | 537.494i | 1.87333 | − | 0.707229i | ||||
\(761\) | −1003.11 | + | 365.103i | −1.31815 | + | 0.479768i | −0.902865 | − | 0.429924i | \(-0.858540\pi\) |
−0.415285 | + | 0.909691i | \(0.636318\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 907.123 | − | 159.950i | 1.18889 | − | 0.209633i | ||||
\(764\) | 351.270 | + | 941.759i | 0.459778 | + | 1.23267i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −185.457 | − | 1027.88i | −0.242111 | − | 1.34189i | ||||
\(767\) | −101.095 | + | 277.756i | −0.131806 | + | 0.362133i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 121.602 | + | 102.037i | 0.158131 | + | 0.132687i | 0.718420 | − | 0.695610i | \(-0.244866\pi\) |
−0.560289 | + | 0.828297i | \(0.689310\pi\) | |||||||
\(770\) | 2.05574 | + | 517.504i | 0.00266979 | + | 0.672083i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 28.9642 | − | 51.1008i | 0.0375184 | − | 0.0661927i | ||||
\(773\) | 371.280 | − | 643.076i | 0.480310 | − | 0.831922i | −0.519434 | − | 0.854510i | \(-0.673857\pi\) |
0.999745 | + | 0.0225883i | \(0.00719069\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −305.563 | + | 176.417i | −0.394274 | + | 0.227634i | ||||
\(776\) | 220.050 | + | 255.987i | 0.283570 | + | 0.329880i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −187.257 | − | 107.123i | −0.240690 | − | 0.137690i | ||||
\(779\) | −1634.76 | − | 288.252i | −2.09853 | − | 0.370028i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 126.247 | − | 105.934i | 0.161649 | − | 0.135639i | ||||
\(782\) | 667.612 | − | 564.727i | 0.853723 | − | 0.722157i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −242.752 | − | 84.0112i | −0.309633 | − | 0.107157i | ||||
\(785\) | −856.753 | + | 718.901i | −1.09141 | + | 0.915798i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 754.529 | + | 133.044i | 0.958741 | + | 0.169052i | 0.631058 | − | 0.775736i | \(-0.282621\pi\) |
0.327683 | + | 0.944788i | \(0.393732\pi\) | |||||||
\(788\) | −152.013 | − | 823.781i | −0.192909 | − | 1.04541i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 213.893 | + | 178.035i | 0.270751 | + | 0.225360i | ||||
\(791\) | 324.468 | − | 187.332i | 0.410200 | − | 0.236829i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 45.9243 | − | 79.5432i | 0.0579121 | − | 0.100307i | ||||
\(794\) | −273.113 | − | 741.197i | −0.343971 | − | 0.933498i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 13.6766 | + | 16.0386i | 0.0171816 | + | 0.0201490i | ||||
\(797\) | 772.076 | + | 647.848i | 0.968727 | + | 0.812859i | 0.982351 | − | 0.187048i | \(-0.0598921\pi\) |
−0.0136233 | + | 0.999907i | \(0.504337\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −243.194 | + | 668.170i | −0.304373 | + | 0.836258i | ||||
\(800\) | 1059.48 | + | 165.189i | 1.32434 | + | 0.206487i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −21.2637 | + | 59.1516i | −0.0265133 | + | 0.0737551i | ||||
\(803\) | −505.030 | + | 89.0504i | −0.628929 | + | 0.110897i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −860.221 | + | 313.095i | −1.06860 | + | 0.388937i | ||||
\(806\) | −114.295 | − | 196.162i | −0.141806 | − | 0.243377i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 289.582 | − | 826.121i | 0.358393 | − | 1.02243i | ||||
\(809\) | −909.106 | −1.12374 | −0.561870 | − | 0.827226i | \(-0.689918\pi\) | ||||
−0.561870 | + | 0.827226i | \(0.689918\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 241.760i | − | 0.298101i | −0.988830 | − | 0.149051i | \(-0.952378\pi\) | ||
0.988830 | − | 0.149051i | \(-0.0476217\pi\) | |||||||
\(812\) | −779.638 | + | 458.421i | −0.960145 | + | 0.564558i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −21.8223 | − | 37.4529i | −0.0268087 | − | 0.0460110i | ||||
\(815\) | 144.220 | + | 396.243i | 0.176958 | + | 0.486187i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 358.018 | + | 2030.42i | 0.438210 | + | 2.48521i | ||||
\(818\) | 142.694 | − | 396.946i | 0.174442 | − | 0.485265i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −1574.84 | − | 1300.27i | −1.92054 | − | 1.58569i | ||||
\(821\) | −381.889 | − | 138.996i | −0.465151 | − | 0.169301i | 0.0988038 | − | 0.995107i | \(-0.468498\pi\) |
−0.563954 | + | 0.825806i | \(0.690721\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 30.4525 | − | 36.2919i | 0.0370019 | − | 0.0440971i | −0.747226 | − | 0.664570i | \(-0.768615\pi\) |
0.784228 | + | 0.620473i | \(0.213059\pi\) | |||||||
\(824\) | 1.27247 | − | 7.75589i | 0.00154425 | − | 0.00941248i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −108.824 | − | 295.335i | −0.131748 | − | 0.357549i | ||||
\(827\) | −310.818 | − | 179.451i | −0.375839 | − | 0.216991i | 0.300168 | − | 0.953886i | \(-0.402957\pi\) |
−0.676006 | + | 0.736896i | \(0.736291\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 95.4686 | + | 165.356i | 0.115161 | + | 0.199465i | 0.917844 | − | 0.396941i | \(-0.129928\pi\) |
−0.802683 | + | 0.596406i | \(0.796595\pi\) | |||||||
\(830\) | 163.808 | + | 136.346i | 0.197359 | + | 0.164272i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −103.582 | + | 682.136i | −0.124498 | + | 0.819875i | ||||
\(833\) | 58.4592 | − | 331.538i | 0.0701791 | − | 0.398005i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 835.390 | + | 995.579i | 1.00047 | + | 1.19231i | ||||
\(836\) | 97.2155 | − | 578.160i | 0.116287 | − | 0.691579i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −62.6052 | + | 52.9572i | −0.0747079 | + | 0.0631948i | ||||
\(839\) | −826.157 | − | 984.575i | −0.984692 | − | 1.17351i | −0.984832 | − | 0.173511i | \(-0.944489\pi\) |
0.000139714 | − | 1.00000i | \(-0.499956\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 123.429 | − | 699.998i | 0.146764 | − | 0.832340i | ||||
\(842\) | 333.765 | + | 190.936i | 0.396396 | + | 0.226764i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 2.86034 | + | 360.020i | 0.00338903 | + | 0.426564i | ||||
\(845\) | 201.858 | + | 349.628i | 0.238885 | + | 0.413761i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −428.807 | − | 247.572i | −0.506266 | − | 0.292293i | ||||
\(848\) | 546.134 | + | 443.666i | 0.644026 | + | 0.523191i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 5.58229 | + | 1405.26i | 0.00656740 | + | 1.65325i | ||||
\(851\) | 49.2868 | − | 58.7377i | 0.0579163 | − | 0.0690219i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 508.554 | + | 185.098i | 0.596194 | + | 0.216997i | 0.622452 | − | 0.782658i | \(-0.286137\pi\) |
−0.0262574 | + | 0.999655i | \(0.508359\pi\) | |||||||
\(854\) | 17.3660 | + | 96.2499i | 0.0203349 | + | 0.112705i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −506.013 | + | 901.070i | −0.591136 | + | 1.05265i | ||||
\(857\) | −27.5580 | − | 156.289i | −0.0321563 | − | 0.182367i | 0.964499 | − | 0.264086i | \(-0.0850703\pi\) |
−0.996655 | + | 0.0817185i | \(0.973959\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −360.358 | − | 990.074i | −0.419508 | − | 1.15259i | −0.951985 | − | 0.306145i | \(-0.900961\pi\) |
0.532477 | − | 0.846445i | \(-0.321261\pi\) | |||||||
\(860\) | −848.587 | + | 2390.40i | −0.986730 | + | 2.77953i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −144.984 | + | 841.785i | −0.168195 | + | 0.976548i | ||||
\(863\) | 251.308i | 0.291203i | 0.989343 | + | 0.145601i | \(0.0465117\pi\) | ||||
−0.989343 | + | 0.145601i | \(0.953488\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 715.149 | 0.826762 | ||||||||
\(866\) | −523.075 | − | 90.0912i | −0.604013 | − | 0.104031i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 227.822 | + | 80.8763i | 0.262467 | + | 0.0931755i | ||||
\(869\) | 100.746 | − | 36.6686i | 0.115934 | − | 0.0421964i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −513.565 | + | 90.5554i | −0.589627 | + | 0.103967i | ||||
\(872\) | −1119.40 | − | 628.622i | −1.28372 | − | 0.720897i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 1020.59 | − | 184.141i | 1.16773 | − | 0.210688i | ||||
\(875\) | 127.766 | − | 351.035i | 0.146018 | − | 0.401182i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −153.816 | − | 129.067i | −0.175389 | − | 0.147168i | 0.550868 | − | 0.834593i | \(-0.314297\pi\) |
−0.726256 | + | 0.687424i | \(0.758741\pi\) | |||||||
\(878\) | −1123.27 | + | 4.46211i | −1.27936 | + | 0.00508213i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 454.801 | − | 559.840i | 0.516819 | − | 0.636181i | ||||
\(881\) | 402.080 | − | 696.424i | 0.456391 | − | 0.790492i | −0.542376 | − | 0.840136i | \(-0.682475\pi\) |
0.998767 | + | 0.0496435i | \(0.0158085\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 1490.79 | − | 860.707i | 1.68832 | − | 0.974753i | 0.732518 | − | 0.680747i | \(-0.238345\pi\) |
0.955804 | − | 0.294006i | \(-0.0949885\pi\) | |||||||
\(884\) | −904.195 | + | 7.18379i | −1.02285 | + | 0.00812646i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 324.459 | − | 567.170i | 0.366206 | − | 0.640147i | ||||
\(887\) | 1284.01 | + | 226.405i | 1.44759 | + | 0.255248i | 0.841546 | − | 0.540186i | \(-0.181646\pi\) |
0.606040 | + | 0.795434i | \(0.292757\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −218.275 | + | 183.154i | −0.245529 | + | 0.206023i | ||||
\(890\) | −1606.29 | − | 1898.93i | −1.80482 | − | 2.13363i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 935.692 | + | 157.333i | 1.04898 | + | 0.176383i | ||||
\(893\) | −646.012 | + | 542.069i | −0.723418 | + | 0.607020i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1137.29 | + | 200.535i | 1.27071 | + | 0.224061i | ||||
\(896\) | −384.894 | − | 625.803i | −0.429569 | − | 0.698440i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −249.087 | + | 299.257i | −0.277380 | + | 0.333248i | ||||
\(899\) | −359.221 | + | 207.396i | −0.399578 | + | 0.230696i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −461.075 | + | 798.606i | −0.511737 | + | 0.886355i | ||||
\(902\) | −738.256 | + | 272.029i | −0.818466 | + | 0.301584i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −515.309 | − | 84.5440i | −0.570032 | − | 0.0935221i | ||||
\(905\) | −115.138 | − | 96.6125i | −0.127225 | − | 0.106754i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 329.124 | − | 904.260i | 0.362871 | − | 0.996979i | −0.615139 | − | 0.788419i | \(-0.710900\pi\) |
0.978010 | − | 0.208560i | \(-0.0668776\pi\) | |||||||
\(908\) | −687.163 | + | 832.269i | −0.756787 | + | 0.916596i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 890.813 | + | 320.228i | 0.978915 | + | 0.351899i | ||||
\(911\) | −145.176 | + | 25.5984i | −0.159359 | + | 0.0280992i | −0.252758 | − | 0.967529i | \(-0.581338\pi\) |
0.0933996 | + | 0.995629i | \(0.470227\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 77.1554 | − | 28.0823i | 0.0845076 | − | 0.0307582i | ||||
\(914\) | 535.545 | − | 312.040i | 0.585935 | − | 0.341400i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 351.553 | + | 597.886i | 0.383791 | + | 0.652714i | ||||
\(917\) | 995.808 | 1.08594 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1373.16i | 1.49419i | 0.664720 | + | 0.747093i | \(0.268551\pi\) | ||||
−0.664720 | + | 0.747093i | \(0.731449\pi\) | |||||||
\(920\) | 1204.07 | + | 422.067i | 1.30878 | + | 0.458768i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −694.800 | + | 404.832i | −0.753579 | + | 0.439080i | ||||
\(923\) | −103.105 | − | 283.279i | −0.111706 | − | 0.306911i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 21.3979 | + | 121.353i | 0.0231328 | + | 0.131193i | ||||
\(926\) | 126.369 | + | 45.4270i | 0.136468 | + | 0.0490572i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 1245.52 | + | 194.197i | 1.34216 | + | 0.209264i | ||||
\(929\) | 1478.64 | + | 538.182i | 1.59165 | + | 0.579313i | 0.977695 | − | 0.210029i | \(-0.0673557\pi\) |
0.613954 | + | 0.789342i | \(0.289578\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 256.647 | − | 305.860i | 0.275668 | − | 0.328528i | ||||
\(932\) | 519.713 | − | 443.175i | 0.557632 | − | 0.475509i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 671.198 | − | 247.320i | 0.718627 | − | 0.264796i | ||||
\(935\) | 818.648 | + | 472.647i | 0.875559 | + | 0.505504i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −829.427 | − | 1436.61i | −0.885195 | − | 1.53320i | −0.845491 | − | 0.533990i | \(-0.820692\pi\) |
−0.0397040 | − | 0.999211i | \(-0.512641\pi\) | |||||||
\(938\) | 355.248 | − | 426.799i | 0.378729 | − | 0.455010i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −1020.29 | + | 188.275i | −1.08542 | + | 0.200293i | ||||
\(941\) | 48.3337 | − | 274.114i | 0.0513642 | − | 0.291301i | −0.948295 | − | 0.317389i | \(-0.897194\pi\) |
0.999660 | + | 0.0260881i | \(0.00830503\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −894.597 | − | 1066.14i | −0.948671 | − | 1.13058i | ||||
\(944\) | −143.471 | + | 414.564i | −0.151982 | + | 0.439157i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 631.104 | + | 746.081i | 0.667129 | + | 0.788670i | ||||
\(947\) | 84.4477 | + | 100.641i | 0.0891739 | + | 0.106273i | 0.808786 | − | 0.588103i | \(-0.200125\pi\) |
−0.719612 | + | 0.694376i | \(0.755680\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −162.890 | + | 923.797i | −0.171644 | + | 0.973442i | ||||
\(950\) | −827.589 | + | 1446.67i | −0.871147 | + | 1.52281i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 730.160 | − | 627.656i | 0.766975 | − | 0.659302i | ||||
\(953\) | −107.243 | − | 185.750i | −0.112532 | − | 0.194911i | 0.804258 | − | 0.594280i | \(-0.202563\pi\) |
−0.916791 | + | 0.399368i | \(0.869229\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1664.58 | − | 961.048i | −1.74302 | − | 1.00633i | ||||
\(956\) | −445.686 | − | 252.617i | −0.466199 | − | 0.264244i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −14.3449 | + | 0.0569839i | −0.0149738 | + | 5.94822e-5i | ||||
\(959\) | 184.986 | − | 220.458i | 0.192895 | − | 0.229883i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −798.858 | − | 290.761i | −0.831278 | − | 0.302560i | ||||
\(962\) | −78.0295 | + | 14.0785i | −0.0811118 | + | 0.0146347i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −619.206 | + | 230.960i | −0.642330 | + | 0.239585i | ||||
\(965\) | 19.5049 | + | 110.618i | 0.0202123 | + | 0.114630i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 551.943 | + | 1516.45i | 0.570779 | + | 1.56820i | 0.803277 | + | 0.595605i | \(0.203088\pi\) |
−0.232499 | + | 0.972597i | \(0.574690\pi\) | |||||||
\(968\) | 243.747 | + | 645.644i | 0.251805 | + | 0.666987i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −636.154 | − | 109.567i | −0.655828 | − | 0.112956i | ||||
\(971\) | 981.080i | 1.01038i | 0.863008 | + | 0.505190i | \(0.168578\pi\) | ||||
−0.863008 | + | 0.505190i | \(0.831422\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −1071.69 | −1.10143 | ||||||||
\(974\) | 146.760 | − | 852.098i | 0.150678 | − | 0.874844i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 66.2743 | − | 119.122i | 0.0679040 | − | 0.122052i | ||||
\(977\) | −109.248 | + | 39.7629i | −0.111820 | + | 0.0406990i | −0.397324 | − | 0.917678i | \(-0.630061\pi\) |
0.285504 | + | 0.958377i | \(0.407839\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −943.631 | + | 166.388i | −0.963872 | + | 0.169957i | ||||
\(980\) | 460.248 | − | 171.670i | 0.469641 | − | 0.175173i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −63.4741 | − | 351.802i | −0.0646376 | − | 0.358250i | ||||
\(983\) | 318.542 | − | 875.187i | 0.324051 | − | 0.890322i | −0.665534 | − | 0.746368i | \(-0.731796\pi\) |
0.989584 | − | 0.143954i | \(-0.0459818\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1227.12 | + | 1029.67i | 1.24581 | + | 1.04536i | ||||
\(986\) | 6.56256 | + | 1652.03i | 0.00665574 | + | 1.67549i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −932.967 | − | 528.810i | −0.944298 | − | 0.535233i | ||||
\(989\) | −864.296 | + | 1497.00i | −0.873909 | + | 1.51365i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −509.689 | + | 294.269i | −0.514318 | + | 0.296941i | −0.734607 | − | 0.678493i | \(-0.762633\pi\) |
0.220289 | + | 0.975435i | \(0.429300\pi\) | |||||||
\(992\) | −174.236 | − | 288.402i | −0.175641 | − | 0.290728i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 278.634 | + | 159.397i | 0.280316 | + | 0.160359i | ||||
\(995\) | −39.6946 | − | 6.99924i | −0.0398941 | − | 0.00703441i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −89.4084 | + | 75.0226i | −0.0896774 | + | 0.0752483i | −0.686524 | − | 0.727107i | \(-0.740864\pi\) |
0.596847 | + | 0.802355i | \(0.296420\pi\) | |||||||
\(998\) | 982.937 | − | 831.458i | 0.984906 | − | 0.833124i | ||||
\(999\) | 0 | 0 |
(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 | 324.3.j.a.199.33 | 204 | ||
3.2 | odd | 2 | 108.3.j.a.103.2 | yes | 204 | ||
4.3 | odd | 2 | inner | 324.3.j.a.199.17 | 204 | ||
12.11 | even | 2 | 108.3.j.a.103.18 | yes | 204 | ||
27.11 | odd | 18 | 108.3.j.a.43.18 | yes | 204 | ||
27.16 | even | 9 | inner | 324.3.j.a.127.17 | 204 | ||
108.11 | even | 18 | 108.3.j.a.43.2 | ✓ | 204 | ||
108.43 | odd | 18 | inner | 324.3.j.a.127.33 | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.3.j.a.43.2 | ✓ | 204 | 108.11 | even | 18 | ||
108.3.j.a.43.18 | yes | 204 | 27.11 | odd | 18 | ||
108.3.j.a.103.2 | yes | 204 | 3.2 | odd | 2 | ||
108.3.j.a.103.18 | yes | 204 | 12.11 | even | 2 | ||
324.3.j.a.127.17 | 204 | 27.16 | even | 9 | inner | ||
324.3.j.a.127.33 | 204 | 108.43 | odd | 18 | inner | ||
324.3.j.a.199.17 | 204 | 4.3 | odd | 2 | inner | ||
324.3.j.a.199.33 | 204 | 1.1 | even | 1 | trivial |