Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [264,3,Mod(109,264)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(264, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0, 1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("264.109");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 264 = 2^{3} \cdot 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 264.e (of order \(2\), degree \(1\), 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: | \(7.19347897911\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 109.11 | ||
Character | \(\chi\) | \(=\) | 264.109 |
Dual form | 264.3.e.a.109.12 |
$q$-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 \(\left(\mathbb{Z}/264\mathbb{Z}\right)^\times\).
\(n\) | \(89\) | \(133\) | \(145\) | \(199\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.37848 | − | 1.44906i | −0.689242 | − | 0.724531i | ||||
\(3\) | − | 1.73205i | − | 0.577350i | ||||||
\(4\) | −0.199564 | + | 3.99502i | −0.0498911 | + | 0.998755i | ||||
\(5\) | 0.815967i | 0.163193i | 0.996665 | + | 0.0815967i | \(0.0260019\pi\) | ||||
−0.996665 | + | 0.0815967i | \(0.973998\pi\) | |||||||
\(6\) | −2.50985 | + | 2.38760i | −0.418308 | + | 0.397934i | ||||
\(7\) | − | 6.88302i | − | 0.983289i | −0.870796 | − | 0.491644i | \(-0.836396\pi\) | ||
0.870796 | − | 0.491644i | \(-0.163604\pi\) | |||||||
\(8\) | 6.06413 | − | 5.21789i | 0.758016 | − | 0.652236i | ||||
\(9\) | −3.00000 | −0.333333 | ||||||||
\(10\) | 1.18239 | − | 1.12480i | 0.118239 | − | 0.112480i | ||||
\(11\) | −10.1983 | + | 4.12254i | −0.927115 | + | 0.374777i | ||||
\(12\) | 6.91958 | + | 0.345656i | 0.576631 | + | 0.0288046i | ||||
\(13\) | 6.65647 | 0.512036 | 0.256018 | − | 0.966672i | \(-0.417589\pi\) | ||||
0.256018 | + | 0.966672i | \(0.417589\pi\) | |||||||
\(14\) | −9.97393 | + | 9.48813i | −0.712423 | + | 0.677724i | ||||
\(15\) | 1.41330 | 0.0942197 | ||||||||
\(16\) | −15.9203 | − | 1.59453i | −0.995022 | − | 0.0996579i | ||||
\(17\) | − | 23.6786i | − | 1.39286i | −0.717625 | − | 0.696429i | \(-0.754771\pi\) | ||
0.717625 | − | 0.696429i | \(-0.245229\pi\) | |||||||
\(18\) | 4.13545 | + | 4.34719i | 0.229747 | + | 0.241510i | ||||
\(19\) | −16.3364 | −0.859809 | −0.429905 | − | 0.902874i | \(-0.641453\pi\) | ||||
−0.429905 | + | 0.902874i | \(0.641453\pi\) | |||||||
\(20\) | −3.25980 | − | 0.162838i | −0.162990 | − | 0.00814189i | ||||
\(21\) | −11.9217 | −0.567702 | ||||||||
\(22\) | 20.0320 | + | 9.09507i | 0.910544 | + | 0.413412i | ||||
\(23\) | −41.3431 | −1.79753 | −0.898764 | − | 0.438433i | \(-0.855534\pi\) | ||||
−0.898764 | + | 0.438433i | \(0.855534\pi\) | |||||||
\(24\) | −9.03765 | − | 10.5034i | −0.376569 | − | 0.437641i | ||||
\(25\) | 24.3342 | 0.973368 | ||||||||
\(26\) | −9.17583 | − | 9.64564i | −0.352917 | − | 0.370986i | ||||
\(27\) | 5.19615i | 0.192450i | ||||||||
\(28\) | 27.4978 | + | 1.37361i | 0.982064 | + | 0.0490573i | ||||
\(29\) | −47.8312 | −1.64935 | −0.824676 | − | 0.565606i | \(-0.808642\pi\) | ||||
−0.824676 | + | 0.565606i | \(0.808642\pi\) | |||||||
\(30\) | −1.94821 | − | 2.04795i | −0.0649402 | − | 0.0682652i | ||||
\(31\) | −4.84015 | −0.156134 | −0.0780669 | − | 0.996948i | \(-0.524875\pi\) | ||||
−0.0780669 | + | 0.996948i | \(0.524875\pi\) | |||||||
\(32\) | 19.6354 | + | 25.2676i | 0.613605 | + | 0.789613i | ||||
\(33\) | 7.14045 | + | 17.6639i | 0.216377 | + | 0.535270i | ||||
\(34\) | −34.3118 | + | 32.6406i | −1.00917 | + | 0.960017i | ||||
\(35\) | 5.61632 | 0.160466 | ||||||||
\(36\) | 0.598693 | − | 11.9851i | 0.0166304 | − | 0.332918i | ||||
\(37\) | 40.4958i | 1.09448i | 0.836975 | + | 0.547240i | \(0.184322\pi\) | ||||
−0.836975 | + | 0.547240i | \(0.815678\pi\) | |||||||
\(38\) | 22.5194 | + | 23.6724i | 0.592617 | + | 0.622959i | ||||
\(39\) | − | 11.5293i | − | 0.295624i | ||||||
\(40\) | 4.25762 | + | 4.94813i | 0.106441 | + | 0.123703i | ||||
\(41\) | 63.6191i | 1.55169i | 0.630927 | + | 0.775843i | \(0.282675\pi\) | ||||
−0.630927 | + | 0.775843i | \(0.717325\pi\) | |||||||
\(42\) | 16.4339 | + | 17.2753i | 0.391284 | + | 0.411318i | ||||
\(43\) | 8.57307 | 0.199374 | 0.0996869 | − | 0.995019i | \(-0.468216\pi\) | ||||
0.0996869 | + | 0.995019i | \(0.468216\pi\) | |||||||
\(44\) | −14.4344 | − | 41.5650i | −0.328055 | − | 0.944659i | ||||
\(45\) | − | 2.44790i | − | 0.0543978i | ||||||
\(46\) | 56.9908 | + | 59.9088i | 1.23893 | + | 1.30236i | ||||
\(47\) | −14.2113 | −0.302369 | −0.151185 | − | 0.988506i | \(-0.548309\pi\) | ||||
−0.151185 | + | 0.988506i | \(0.548309\pi\) | |||||||
\(48\) | −2.76180 | + | 27.5749i | −0.0575375 | + | 0.574476i | ||||
\(49\) | 1.62403 | 0.0331435 | ||||||||
\(50\) | −33.5443 | − | 35.2618i | −0.670886 | − | 0.705235i | ||||
\(51\) | −41.0125 | −0.804167 | ||||||||
\(52\) | −1.32839 | + | 26.5927i | −0.0255460 | + | 0.511398i | ||||
\(53\) | − | 94.3971i | − | 1.78108i | −0.454907 | − | 0.890539i | \(-0.650328\pi\) | ||
0.454907 | − | 0.890539i | \(-0.349672\pi\) | |||||||
\(54\) | 7.52955 | − | 7.16281i | 0.139436 | − | 0.132645i | ||||
\(55\) | −3.36386 | − | 8.32145i | −0.0611611 | − | 0.151299i | ||||
\(56\) | −35.9148 | − | 41.7395i | −0.641336 | − | 0.745349i | ||||
\(57\) | 28.2954i | 0.496411i | ||||||||
\(58\) | 65.9345 | + | 69.3104i | 1.13680 | + | 1.19501i | ||||
\(59\) | − | 93.5546i | − | 1.58567i | −0.609435 | − | 0.792836i | \(-0.708604\pi\) | ||
0.609435 | − | 0.792836i | \(-0.291396\pi\) | |||||||
\(60\) | −0.282044 | + | 5.64614i | −0.00470073 | + | 0.0941024i | ||||
\(61\) | −79.9870 | −1.31126 | −0.655631 | − | 0.755081i | \(-0.727597\pi\) | ||||
−0.655631 | + | 0.755081i | \(0.727597\pi\) | |||||||
\(62\) | 6.67207 | + | 7.01368i | 0.107614 | + | 0.113124i | ||||
\(63\) | 20.6491i | 0.327763i | ||||||||
\(64\) | 9.54730 | − | 63.2839i | 0.149177 | − | 0.988811i | ||||
\(65\) | 5.43146i | 0.0835609i | ||||||||
\(66\) | 15.7531 | − | 34.6964i | 0.238684 | − | 0.525703i | ||||
\(67\) | − | 44.1127i | − | 0.658398i | −0.944261 | − | 0.329199i | \(-0.893221\pi\) | ||
0.944261 | − | 0.329199i | \(-0.106779\pi\) | |||||||
\(68\) | 94.5964 | + | 4.72540i | 1.39112 | + | 0.0694912i | ||||
\(69\) | 71.6084i | 1.03780i | ||||||||
\(70\) | −7.74200 | − | 8.13839i | −0.110600 | − | 0.116263i | ||||
\(71\) | −52.2676 | −0.736164 | −0.368082 | − | 0.929793i | \(-0.619985\pi\) | ||||
−0.368082 | + | 0.929793i | \(0.619985\pi\) | |||||||
\(72\) | −18.1924 | + | 15.6537i | −0.252672 | + | 0.217412i | ||||
\(73\) | − | 37.1462i | − | 0.508852i | −0.967092 | − | 0.254426i | \(-0.918113\pi\) | ||
0.967092 | − | 0.254426i | \(-0.0818865\pi\) | |||||||
\(74\) | 58.6809 | − | 55.8228i | 0.792986 | − | 0.754362i | ||||
\(75\) | − | 42.1481i | − | 0.561974i | ||||||
\(76\) | 3.26016 | − | 65.2641i | 0.0428968 | − | 0.858738i | ||||
\(77\) | 28.3755 | + | 70.1949i | 0.368514 | + | 0.911622i | ||||
\(78\) | −16.7067 | + | 15.8930i | −0.214189 | + | 0.203757i | ||||
\(79\) | − | 82.2793i | − | 1.04151i | −0.853706 | − | 0.520755i | \(-0.825651\pi\) | ||
0.853706 | − | 0.520755i | \(-0.174349\pi\) | |||||||
\(80\) | 1.30108 | − | 12.9905i | 0.0162635 | − | 0.162381i | ||||
\(81\) | 9.00000 | 0.111111 | ||||||||
\(82\) | 92.1880 | − | 87.6979i | 1.12424 | − | 1.06949i | ||||
\(83\) | 25.6841 | 0.309447 | 0.154724 | − | 0.987958i | \(-0.450551\pi\) | ||||
0.154724 | + | 0.987958i | \(0.450551\pi\) | |||||||
\(84\) | 2.37915 | − | 47.6276i | 0.0283233 | − | 0.566995i | ||||
\(85\) | 19.3210 | 0.227305 | ||||||||
\(86\) | −11.8178 | − | 12.4229i | −0.137417 | − | 0.144453i | ||||
\(87\) | 82.8460i | 0.952253i | ||||||||
\(88\) | −40.3326 | + | 78.2130i | −0.458325 | + | 0.888785i | ||||
\(89\) | 170.778 | 1.91886 | 0.959428 | − | 0.281953i | \(-0.0909822\pi\) | ||||
0.959428 | + | 0.281953i | \(0.0909822\pi\) | |||||||
\(90\) | −3.54716 | + | 3.37439i | −0.0394129 | + | 0.0374932i | ||||
\(91\) | − | 45.8166i | − | 0.503479i | ||||||
\(92\) | 8.25061 | − | 165.167i | 0.0896806 | − | 1.79529i | ||||
\(93\) | 8.38338i | 0.0901439i | ||||||||
\(94\) | 19.5901 | + | 20.5931i | 0.208405 | + | 0.219076i | ||||
\(95\) | − | 13.3299i | − | 0.140315i | ||||||
\(96\) | 43.7648 | − | 34.0095i | 0.455883 | − | 0.354265i | ||||
\(97\) | 74.2138 | 0.765091 | 0.382546 | − | 0.923937i | \(-0.375048\pi\) | ||||
0.382546 | + | 0.923937i | \(0.375048\pi\) | |||||||
\(98\) | −2.23870 | − | 2.35332i | −0.0228439 | − | 0.0240135i | ||||
\(99\) | 30.5948 | − | 12.3676i | 0.309038 | − | 0.124926i | ||||
\(100\) | −4.85624 | + | 97.2156i | −0.0485624 | + | 0.972156i | ||||
\(101\) | 2.97413 | 0.0294468 | 0.0147234 | − | 0.999892i | \(-0.495313\pi\) | ||||
0.0147234 | + | 0.999892i | \(0.495313\pi\) | |||||||
\(102\) | 56.5351 | + | 59.4297i | 0.554266 | + | 0.582644i | ||||
\(103\) | 89.2633 | 0.866634 | 0.433317 | − | 0.901242i | \(-0.357343\pi\) | ||||
0.433317 | + | 0.901242i | \(0.357343\pi\) | |||||||
\(104\) | 40.3657 | − | 34.7327i | 0.388131 | − | 0.333968i | ||||
\(105\) | − | 9.72775i | − | 0.0926452i | ||||||
\(106\) | −136.787 | + | 130.125i | −1.29045 | + | 1.22759i | ||||
\(107\) | −34.5405 | −0.322809 | −0.161404 | − | 0.986888i | \(-0.551602\pi\) | ||||
−0.161404 | + | 0.986888i | \(0.551602\pi\) | |||||||
\(108\) | −20.7587 | − | 1.03697i | −0.192210 | − | 0.00960154i | ||||
\(109\) | −49.6019 | −0.455064 | −0.227532 | − | 0.973771i | \(-0.573066\pi\) | ||||
−0.227532 | + | 0.973771i | \(0.573066\pi\) | |||||||
\(110\) | −7.42127 | + | 16.3454i | −0.0674661 | + | 0.148595i | ||||
\(111\) | 70.1408 | 0.631899 | ||||||||
\(112\) | −10.9752 | + | 109.580i | −0.0979925 | + | 0.978394i | ||||
\(113\) | −146.793 | −1.29905 | −0.649526 | − | 0.760339i | \(-0.725033\pi\) | ||||
−0.649526 | + | 0.760339i | \(0.725033\pi\) | |||||||
\(114\) | 41.0018 | − | 39.0048i | 0.359665 | − | 0.342147i | ||||
\(115\) | − | 33.7346i | − | 0.293345i | ||||||
\(116\) | 9.54540 | − | 191.086i | 0.0822879 | − | 1.64730i | ||||
\(117\) | −19.9694 | −0.170679 | ||||||||
\(118\) | −135.567 | + | 128.964i | −1.14887 | + | 1.09291i | ||||
\(119\) | −162.980 | −1.36958 | ||||||||
\(120\) | 8.57041 | − | 7.37442i | 0.0714201 | − | 0.0614535i | ||||
\(121\) | 87.0093 | − | 84.0856i | 0.719085 | − | 0.694922i | ||||
\(122\) | 110.261 | + | 115.906i | 0.903777 | + | 0.950051i | ||||
\(123\) | 110.191 | 0.895866 | ||||||||
\(124\) | 0.965921 | − | 19.3365i | 0.00778969 | − | 0.155939i | ||||
\(125\) | 40.2551i | 0.322041i | ||||||||
\(126\) | 29.9218 | − | 28.4644i | 0.237474 | − | 0.225908i | ||||
\(127\) | − | 120.147i | − | 0.946037i | −0.881052 | − | 0.473019i | \(-0.843164\pi\) | ||
0.881052 | − | 0.473019i | \(-0.156836\pi\) | |||||||
\(128\) | −104.863 | + | 73.4012i | −0.819243 | + | 0.573447i | ||||
\(129\) | − | 14.8490i | − | 0.115109i | ||||||
\(130\) | 7.87052 | − | 7.48718i | 0.0605425 | − | 0.0575937i | ||||
\(131\) | 67.0812 | 0.512070 | 0.256035 | − | 0.966668i | \(-0.417584\pi\) | ||||
0.256035 | + | 0.966668i | \(0.417584\pi\) | |||||||
\(132\) | −71.9927 | + | 25.0012i | −0.545399 | + | 0.189403i | ||||
\(133\) | 112.444i | 0.845441i | ||||||||
\(134\) | −63.9220 | + | 60.8086i | −0.477030 | + | 0.453796i | ||||
\(135\) | −4.23989 | −0.0314066 | ||||||||
\(136\) | −123.552 | − | 143.590i | −0.908472 | − | 1.05581i | ||||
\(137\) | 85.4577 | 0.623779 | 0.311890 | − | 0.950118i | \(-0.399038\pi\) | ||||
0.311890 | + | 0.950118i | \(0.399038\pi\) | |||||||
\(138\) | 103.765 | − | 98.7110i | 0.751921 | − | 0.715297i | ||||
\(139\) | 60.9977 | 0.438833 | 0.219416 | − | 0.975631i | \(-0.429585\pi\) | ||||
0.219416 | + | 0.975631i | \(0.429585\pi\) | |||||||
\(140\) | −1.12082 | + | 22.4373i | −0.00800583 | + | 0.160266i | ||||
\(141\) | 24.6148i | 0.174573i | ||||||||
\(142\) | 72.0501 | + | 75.7390i | 0.507395 | + | 0.533374i | ||||
\(143\) | −67.8844 | + | 27.4416i | −0.474716 | + | 0.191899i | ||||
\(144\) | 47.7610 | + | 4.78358i | 0.331674 | + | 0.0332193i | ||||
\(145\) | − | 39.0287i | − | 0.269163i | ||||||
\(146\) | −53.8272 | + | 51.2054i | −0.368679 | + | 0.350722i | ||||
\(147\) | − | 2.81290i | − | 0.0191354i | ||||||
\(148\) | −161.781 | − | 8.08152i | −1.09312 | − | 0.0546048i | ||||
\(149\) | 258.670 | 1.73604 | 0.868021 | − | 0.496527i | \(-0.165392\pi\) | ||||
0.868021 | + | 0.496527i | \(0.165392\pi\) | |||||||
\(150\) | −61.0752 | + | 58.1004i | −0.407168 | + | 0.387336i | ||||
\(151\) | 121.991i | 0.807885i | 0.914784 | + | 0.403943i | \(0.132360\pi\) | ||||
−0.914784 | + | 0.403943i | \(0.867640\pi\) | |||||||
\(152\) | −99.0659 | + | 85.2414i | −0.651749 | + | 0.560798i | ||||
\(153\) | 71.0358i | 0.464286i | ||||||||
\(154\) | 62.6015 | − | 137.880i | 0.406503 | − | 0.895328i | ||||
\(155\) | − | 3.94940i | − | 0.0254800i | ||||||
\(156\) | 46.0599 | + | 2.30084i | 0.295256 | + | 0.0147490i | ||||
\(157\) | 117.164i | 0.746265i | 0.927778 | + | 0.373133i | \(0.121716\pi\) | ||||
−0.927778 | + | 0.373133i | \(0.878284\pi\) | |||||||
\(158\) | −119.228 | + | 113.421i | −0.754607 | + | 0.717852i | ||||
\(159\) | −163.501 | −1.02831 | ||||||||
\(160\) | −20.6175 | + | 16.0218i | −0.128860 | + | 0.100136i | ||||
\(161\) | 284.566i | 1.76749i | ||||||||
\(162\) | −12.4064 | − | 13.0416i | −0.0765824 | − | 0.0805035i | ||||
\(163\) | − | 230.915i | − | 1.41666i | −0.705884 | − | 0.708328i | \(-0.749450\pi\) | ||
0.705884 | − | 0.708328i | \(-0.250550\pi\) | |||||||
\(164\) | −254.159 | − | 12.6961i | −1.54975 | − | 0.0774152i | ||||
\(165\) | −14.4132 | + | 5.82638i | −0.0873526 | + | 0.0353114i | ||||
\(166\) | −35.4051 | − | 37.2179i | −0.213284 | − | 0.224204i | ||||
\(167\) | − | 114.603i | − | 0.686244i | −0.939291 | − | 0.343122i | \(-0.888516\pi\) | ||
0.939291 | − | 0.343122i | \(-0.111484\pi\) | |||||||
\(168\) | −72.2950 | + | 62.2063i | −0.430327 | + | 0.370276i | ||||
\(169\) | −124.691 | −0.737819 | ||||||||
\(170\) | −26.6336 | − | 27.9973i | −0.156668 | − | 0.164690i | ||||
\(171\) | 49.0091 | 0.286603 | ||||||||
\(172\) | −1.71088 | + | 34.2496i | −0.00994698 | + | 0.199126i | ||||
\(173\) | −33.9685 | −0.196349 | −0.0981747 | − | 0.995169i | \(-0.531300\pi\) | ||||
−0.0981747 | + | 0.995169i | \(0.531300\pi\) | |||||||
\(174\) | 120.049 | − | 114.202i | 0.689937 | − | 0.656333i | ||||
\(175\) | − | 167.493i | − | 0.957102i | ||||||
\(176\) | 168.933 | − | 49.3709i | 0.959849 | − | 0.280517i | ||||
\(177\) | −162.041 | −0.915488 | ||||||||
\(178\) | −235.415 | − | 247.468i | −1.32256 | − | 1.39027i | ||||
\(179\) | 220.715i | 1.23304i | 0.787338 | + | 0.616521i | \(0.211459\pi\) | ||||
−0.787338 | + | 0.616521i | \(0.788541\pi\) | |||||||
\(180\) | 9.77941 | + | 0.488514i | 0.0543301 | + | 0.00271396i | ||||
\(181\) | 53.9295i | 0.297953i | 0.988841 | + | 0.148977i | \(0.0475979\pi\) | ||||
−0.988841 | + | 0.148977i | \(0.952402\pi\) | |||||||
\(182\) | −66.3911 | + | 63.1574i | −0.364786 | + | 0.347019i | ||||
\(183\) | 138.542i | 0.757058i | ||||||||
\(184\) | −250.710 | + | 215.724i | −1.36255 | + | 1.17241i | ||||
\(185\) | −33.0432 | −0.178612 | ||||||||
\(186\) | 12.1480 | − | 11.5564i | 0.0653121 | − | 0.0621310i | ||||
\(187\) | 97.6160 | + | 241.481i | 0.522011 | + | 1.29134i | ||||
\(188\) | 2.83608 | − | 56.7746i | 0.0150855 | − | 0.301992i | ||||
\(189\) | 35.7652 | 0.189234 | ||||||||
\(190\) | −19.3159 | + | 18.3751i | −0.101663 | + | 0.0967111i | ||||
\(191\) | −53.0046 | −0.277511 | −0.138756 | − | 0.990327i | \(-0.544310\pi\) | ||||
−0.138756 | + | 0.990327i | \(0.544310\pi\) | |||||||
\(192\) | −109.611 | − | 16.5364i | −0.570890 | − | 0.0861271i | ||||
\(193\) | − | 109.979i | − | 0.569838i | −0.958552 | − | 0.284919i | \(-0.908033\pi\) | ||
0.958552 | − | 0.284919i | \(-0.0919667\pi\) | |||||||
\(194\) | −102.303 | − | 107.540i | −0.527333 | − | 0.554332i | ||||
\(195\) | 9.40756 | 0.0482439 | ||||||||
\(196\) | −0.324099 | + | 6.48804i | −0.00165356 | + | 0.0331022i | ||||
\(197\) | 30.6209 | 0.155436 | 0.0777179 | − | 0.996975i | \(-0.475237\pi\) | ||||
0.0777179 | + | 0.996975i | \(0.475237\pi\) | |||||||
\(198\) | −60.0959 | − | 27.2852i | −0.303515 | − | 0.137804i | ||||
\(199\) | 140.453 | 0.705796 | 0.352898 | − | 0.935662i | \(-0.385196\pi\) | ||||
0.352898 | + | 0.935662i | \(0.385196\pi\) | |||||||
\(200\) | 147.566 | − | 126.973i | 0.737828 | − | 0.634866i | ||||
\(201\) | −76.4054 | −0.380126 | ||||||||
\(202\) | −4.09979 | − | 4.30970i | −0.0202960 | − | 0.0213351i | ||||
\(203\) | 329.223i | 1.62179i | ||||||||
\(204\) | 8.18464 | − | 163.846i | 0.0401208 | − | 0.803166i | ||||
\(205\) | −51.9111 | −0.253225 | ||||||||
\(206\) | −123.048 | − | 129.348i | −0.597321 | − | 0.627903i | ||||
\(207\) | 124.029 | 0.599176 | ||||||||
\(208\) | −105.973 | − | 10.6139i | −0.509487 | − | 0.0510284i | ||||
\(209\) | 166.603 | − | 67.3474i | 0.797142 | − | 0.322236i | ||||
\(210\) | −14.0961 | + | 13.4095i | −0.0671243 | + | 0.0638550i | ||||
\(211\) | 67.3995 | 0.319429 | 0.159715 | − | 0.987163i | \(-0.448943\pi\) | ||||
0.159715 | + | 0.987163i | \(0.448943\pi\) | |||||||
\(212\) | 377.118 | + | 18.8383i | 1.77886 | + | 0.0888599i | ||||
\(213\) | 90.5302i | 0.425024i | ||||||||
\(214\) | 47.6135 | + | 50.0514i | 0.222493 | + | 0.233885i | ||||
\(215\) | 6.99535i | 0.0325365i | ||||||||
\(216\) | 27.1129 | + | 31.5101i | 0.125523 | + | 0.145880i | ||||
\(217\) | 33.3148i | 0.153525i | ||||||||
\(218\) | 68.3755 | + | 71.8763i | 0.313649 | + | 0.329708i | ||||
\(219\) | −64.3391 | −0.293786 | ||||||||
\(220\) | 33.9156 | − | 11.7780i | 0.154162 | − | 0.0535364i | ||||
\(221\) | − | 157.616i | − | 0.713194i | ||||||
\(222\) | −96.6879 | − | 101.638i | −0.435531 | − | 0.457830i | ||||
\(223\) | −155.040 | −0.695246 | −0.347623 | − | 0.937634i | \(-0.613011\pi\) | ||||
−0.347623 | + | 0.937634i | \(0.613011\pi\) | |||||||
\(224\) | 173.917 | − | 135.151i | 0.776417 | − | 0.603351i | ||||
\(225\) | −73.0026 | −0.324456 | ||||||||
\(226\) | 202.352 | + | 212.712i | 0.895361 | + | 0.941204i | ||||
\(227\) | −87.3145 | −0.384645 | −0.192323 | − | 0.981332i | \(-0.561602\pi\) | ||||
−0.192323 | + | 0.981332i | \(0.561602\pi\) | |||||||
\(228\) | −113.041 | − | 5.64676i | −0.495793 | − | 0.0247665i | ||||
\(229\) | − | 21.9545i | − | 0.0958711i | −0.998850 | − | 0.0479356i | \(-0.984736\pi\) | ||
0.998850 | − | 0.0479356i | \(-0.0152642\pi\) | |||||||
\(230\) | −48.8836 | + | 46.5026i | −0.212537 | + | 0.202185i | ||||
\(231\) | 121.581 | − | 49.1479i | 0.526325 | − | 0.212761i | ||||
\(232\) | −290.054 | + | 249.578i | −1.25023 | + | 1.07577i | ||||
\(233\) | 254.680i | 1.09305i | 0.837444 | + | 0.546523i | \(0.184049\pi\) | ||||
−0.837444 | + | 0.546523i | \(0.815951\pi\) | |||||||
\(234\) | 27.5275 | + | 28.9369i | 0.117639 | + | 0.123662i | ||||
\(235\) | − | 11.5960i | − | 0.0493446i | ||||||
\(236\) | 373.752 | + | 18.6702i | 1.58370 | + | 0.0791109i | ||||
\(237\) | −142.512 | −0.601316 | ||||||||
\(238\) | 224.666 | + | 236.169i | 0.943973 | + | 0.992305i | ||||
\(239\) | − | 60.4289i | − | 0.252840i | −0.991977 | − | 0.126420i | \(-0.959651\pi\) | ||
0.991977 | − | 0.126420i | \(-0.0403488\pi\) | |||||||
\(240\) | −22.5002 | − | 2.25354i | −0.0937507 | − | 0.00938974i | ||||
\(241\) | − | 392.139i | − | 1.62713i | −0.581472 | − | 0.813566i | \(-0.697523\pi\) | ||
0.581472 | − | 0.813566i | \(-0.302477\pi\) | |||||||
\(242\) | −241.786 | − | 10.1712i | −0.999116 | − | 0.0420299i | ||||
\(243\) | − | 15.5885i | − | 0.0641500i | ||||||
\(244\) | 15.9626 | − | 319.550i | 0.0654203 | − | 1.30963i | ||||
\(245\) | 1.32516i | 0.00540880i | ||||||||
\(246\) | −151.897 | − | 159.674i | −0.617468 | − | 0.649083i | ||||
\(247\) | −108.743 | −0.440253 | ||||||||
\(248\) | −29.3513 | + | 25.2554i | −0.118352 | + | 0.101836i | ||||
\(249\) | − | 44.4862i | − | 0.178659i | ||||||
\(250\) | 58.3321 | − | 55.4910i | 0.233328 | − | 0.221964i | ||||
\(251\) | 50.8359i | 0.202533i | 0.994859 | + | 0.101267i | \(0.0322896\pi\) | ||||
−0.994859 | + | 0.101267i | \(0.967710\pi\) | |||||||
\(252\) | −82.4934 | − | 4.12082i | −0.327355 | − | 0.0163524i | ||||
\(253\) | 421.628 | − | 170.439i | 1.66651 | − | 0.673671i | ||||
\(254\) | −174.100 | + | 165.620i | −0.685434 | + | 0.652049i | ||||
\(255\) | − | 33.4649i | − | 0.131235i | ||||||
\(256\) | 250.915 | + | 50.7708i | 0.980137 | + | 0.198324i | ||||
\(257\) | 391.075 | 1.52169 | 0.760846 | − | 0.648933i | \(-0.224784\pi\) | ||||
0.760846 | + | 0.648933i | \(0.224784\pi\) | |||||||
\(258\) | −21.5171 | + | 20.4691i | −0.0833997 | + | 0.0793376i | ||||
\(259\) | 278.733 | 1.07619 | ||||||||
\(260\) | −21.6988 | − | 1.08393i | −0.0834568 | − | 0.00416894i | ||||
\(261\) | 143.494 | 0.549784 | ||||||||
\(262\) | −92.4703 | − | 97.2048i | −0.352940 | − | 0.371011i | ||||
\(263\) | 271.906i | 1.03386i | 0.856027 | + | 0.516931i | \(0.172926\pi\) | ||||
−0.856027 | + | 0.516931i | \(0.827074\pi\) | |||||||
\(264\) | 135.469 | + | 69.8582i | 0.513140 | + | 0.264614i | ||||
\(265\) | 77.0249 | 0.290660 | ||||||||
\(266\) | 162.938 | − | 155.002i | 0.612548 | − | 0.582713i | ||||
\(267\) | − | 295.797i | − | 1.10785i | ||||||
\(268\) | 176.231 | + | 8.80332i | 0.657578 | + | 0.0328482i | ||||
\(269\) | − | 386.896i | − | 1.43827i | −0.694868 | − | 0.719137i | \(-0.744537\pi\) | ||
0.694868 | − | 0.719137i | \(-0.255463\pi\) | |||||||
\(270\) | 5.84462 | + | 6.14386i | 0.0216467 | + | 0.0227551i | ||||
\(271\) | 208.204i | 0.768280i | 0.923275 | + | 0.384140i | \(0.125502\pi\) | ||||
−0.923275 | + | 0.384140i | \(0.874498\pi\) | |||||||
\(272\) | −37.7561 | + | 376.971i | −0.138809 | + | 1.38592i | ||||
\(273\) | −79.3567 | −0.290684 | ||||||||
\(274\) | −117.802 | − | 123.834i | −0.429935 | − | 0.451947i | ||||
\(275\) | −248.167 | + | 100.319i | −0.902424 | + | 0.364796i | ||||
\(276\) | −286.077 | − | 14.2905i | −1.03651 | − | 0.0517771i | ||||
\(277\) | −19.3202 | −0.0697479 | −0.0348740 | − | 0.999392i | \(-0.511103\pi\) | ||||
−0.0348740 | + | 0.999392i | \(0.511103\pi\) | |||||||
\(278\) | −84.0844 | − | 88.3895i | −0.302462 | − | 0.317948i | ||||
\(279\) | 14.5204 | 0.0520446 | ||||||||
\(280\) | 34.0581 | − | 29.3053i | 0.121636 | − | 0.104662i | ||||
\(281\) | − | 268.488i | − | 0.955474i | −0.878503 | − | 0.477737i | \(-0.841457\pi\) | ||
0.878503 | − | 0.477737i | \(-0.158543\pi\) | |||||||
\(282\) | 35.6683 | − | 33.9311i | 0.126483 | − | 0.120323i | ||||
\(283\) | −409.223 | −1.44602 | −0.723010 | − | 0.690838i | \(-0.757242\pi\) | ||||
−0.723010 | + | 0.690838i | \(0.757242\pi\) | |||||||
\(284\) | 10.4308 | − | 208.810i | 0.0367280 | − | 0.735247i | ||||
\(285\) | −23.0881 | −0.0810110 | ||||||||
\(286\) | 133.342 | + | 60.5410i | 0.466231 | + | 0.211682i | ||||
\(287\) | 437.891 | 1.52575 | ||||||||
\(288\) | −58.9061 | − | 75.8028i | −0.204535 | − | 0.263204i | ||||
\(289\) | −271.676 | −0.940055 | ||||||||
\(290\) | −56.5550 | + | 53.8004i | −0.195017 | + | 0.185519i | ||||
\(291\) | − | 128.542i | − | 0.441726i | ||||||
\(292\) | 148.400 | + | 7.41306i | 0.508218 | + | 0.0253872i | ||||
\(293\) | −204.196 | −0.696913 | −0.348457 | − | 0.937325i | \(-0.613294\pi\) | ||||
−0.348457 | + | 0.937325i | \(0.613294\pi\) | |||||||
\(294\) | −4.07607 | + | 3.87754i | −0.0138642 | + | 0.0131889i | ||||
\(295\) | 76.3375 | 0.258771 | ||||||||
\(296\) | 211.302 | + | 245.572i | 0.713860 | + | 0.829634i | ||||
\(297\) | −21.4214 | − | 52.9917i | −0.0721258 | − | 0.178423i | ||||
\(298\) | −356.573 | − | 374.830i | −1.19655 | − | 1.25782i | ||||
\(299\) | −275.199 | −0.920399 | ||||||||
\(300\) | 168.382 | + | 8.41125i | 0.561274 | + | 0.0280375i | ||||
\(301\) | − | 59.0086i | − | 0.196042i | ||||||
\(302\) | 176.772 | − | 168.162i | 0.585338 | − | 0.556828i | ||||
\(303\) | − | 5.15134i | − | 0.0170011i | ||||||
\(304\) | 260.081 | + | 26.0488i | 0.855529 | + | 0.0856868i | ||||
\(305\) | − | 65.2668i | − | 0.213989i | ||||||
\(306\) | 102.935 | − | 97.9217i | 0.336390 | − | 0.320006i | ||||
\(307\) | −82.8238 | −0.269784 | −0.134892 | − | 0.990860i | \(-0.543069\pi\) | ||||
−0.134892 | + | 0.990860i | \(0.543069\pi\) | |||||||
\(308\) | −286.093 | + | 99.3525i | −0.928872 | + | 0.322573i | ||||
\(309\) | − | 154.609i | − | 0.500351i | ||||||
\(310\) | −5.72293 | + | 5.44419i | −0.0184611 | + | 0.0175619i | ||||
\(311\) | −321.523 | −1.03383 | −0.516917 | − | 0.856035i | \(-0.672921\pi\) | ||||
−0.516917 | + | 0.856035i | \(0.672921\pi\) | |||||||
\(312\) | −60.1588 | − | 69.9154i | −0.192817 | − | 0.224088i | ||||
\(313\) | −491.764 | −1.57113 | −0.785565 | − | 0.618779i | \(-0.787628\pi\) | ||||
−0.785565 | + | 0.618779i | \(0.787628\pi\) | |||||||
\(314\) | 169.777 | − | 161.508i | 0.540692 | − | 0.514357i | ||||
\(315\) | −16.8490 | −0.0534887 | ||||||||
\(316\) | 328.707 | + | 16.4200i | 1.04021 | + | 0.0519621i | ||||
\(317\) | − | 287.750i | − | 0.907729i | −0.891071 | − | 0.453864i | \(-0.850045\pi\) | ||
0.891071 | − | 0.453864i | \(-0.149955\pi\) | |||||||
\(318\) | 225.383 | + | 236.923i | 0.708751 | + | 0.745040i | ||||
\(319\) | 487.795 | − | 197.186i | 1.52914 | − | 0.618138i | ||||
\(320\) | 51.6376 | + | 7.79028i | 0.161367 | + | 0.0243446i | ||||
\(321\) | 59.8259i | 0.186374i | ||||||||
\(322\) | 412.353 | − | 392.269i | 1.28060 | − | 1.21823i | ||||
\(323\) | 386.822i | 1.19759i | ||||||||
\(324\) | −1.79608 | + | 35.9552i | −0.00554345 | + | 0.110973i | ||||
\(325\) | 161.980 | 0.498399 | ||||||||
\(326\) | −334.610 | + | 318.312i | −1.02641 | + | 0.976419i | ||||
\(327\) | 85.9131i | 0.262731i | ||||||||
\(328\) | 331.957 | + | 385.794i | 1.01206 | + | 1.17620i | ||||
\(329\) | 97.8170i | 0.297316i | ||||||||
\(330\) | 28.3111 | + | 12.8540i | 0.0857912 | + | 0.0389516i | ||||
\(331\) | − | 296.386i | − | 0.895427i | −0.894177 | − | 0.447714i | \(-0.852238\pi\) | ||
0.894177 | − | 0.447714i | \(-0.147762\pi\) | |||||||
\(332\) | −5.12563 | + | 102.609i | −0.0154387 | + | 0.309062i | ||||
\(333\) | − | 121.487i | − | 0.364827i | ||||||
\(334\) | −166.066 | + | 157.978i | −0.497205 | + | 0.472988i | ||||
\(335\) | 35.9945 | 0.107446 | ||||||||
\(336\) | 189.798 | + | 19.0095i | 0.564876 | + | 0.0565760i | ||||
\(337\) | 590.932i | 1.75351i | 0.480941 | + | 0.876753i | \(0.340295\pi\) | ||||
−0.480941 | + | 0.876753i | \(0.659705\pi\) | |||||||
\(338\) | 171.885 | + | 180.686i | 0.508536 | + | 0.534573i | ||||
\(339\) | 254.253i | 0.750008i | ||||||||
\(340\) | −3.85577 | + | 77.1876i | −0.0113405 | + | 0.227022i | ||||
\(341\) | 49.3611 | − | 19.9537i | 0.144754 | − | 0.0585153i | ||||
\(342\) | −67.5583 | − | 71.0173i | −0.197539 | − | 0.207653i | ||||
\(343\) | − | 348.446i | − | 1.01588i | ||||||
\(344\) | 51.9882 | − | 44.7333i | 0.151129 | − | 0.130039i | ||||
\(345\) | −58.4301 | −0.169363 | ||||||||
\(346\) | 46.8250 | + | 49.2224i | 0.135332 | + | 0.142261i | ||||
\(347\) | 553.202 | 1.59424 | 0.797121 | − | 0.603819i | \(-0.206355\pi\) | ||||
0.797121 | + | 0.603819i | \(0.206355\pi\) | |||||||
\(348\) | −330.971 | − | 16.5331i | −0.951068 | − | 0.0475090i | ||||
\(349\) | −292.817 | −0.839018 | −0.419509 | − | 0.907751i | \(-0.637798\pi\) | ||||
−0.419509 | + | 0.907751i | \(0.637798\pi\) | |||||||
\(350\) | −242.708 | + | 230.886i | −0.693450 | + | 0.659675i | ||||
\(351\) | 34.5880i | 0.0985414i | ||||||||
\(352\) | −304.414 | − | 176.738i | −0.864811 | − | 0.502097i | ||||
\(353\) | 291.329 | 0.825294 | 0.412647 | − | 0.910891i | \(-0.364604\pi\) | ||||
0.412647 | + | 0.910891i | \(0.364604\pi\) | |||||||
\(354\) | 223.371 | + | 234.808i | 0.630993 | + | 0.663300i | ||||
\(355\) | − | 42.6486i | − | 0.120137i | ||||||
\(356\) | −34.0812 | + | 682.262i | −0.0957338 | + | 1.91647i | ||||
\(357\) | 282.290i | 0.790729i | ||||||||
\(358\) | 319.829 | − | 304.252i | 0.893378 | − | 0.849865i | ||||
\(359\) | 352.989i | 0.983256i | 0.870805 | + | 0.491628i | \(0.163598\pi\) | ||||
−0.870805 | + | 0.491628i | \(0.836402\pi\) | |||||||
\(360\) | −12.7729 | − | 14.8444i | −0.0354802 | − | 0.0412344i | ||||
\(361\) | −94.1229 | −0.260728 | ||||||||
\(362\) | 78.1472 | − | 74.3409i | 0.215876 | − | 0.205362i | ||||
\(363\) | −145.641 | − | 150.704i | −0.401214 | − | 0.415164i | ||||
\(364\) | 183.038 | + | 9.14336i | 0.502852 | + | 0.0251191i | ||||
\(365\) | 30.3101 | 0.0830413 | ||||||||
\(366\) | 200.755 | − | 190.977i | 0.548512 | − | 0.521796i | ||||
\(367\) | 616.097 | 1.67874 | 0.839369 | − | 0.543562i | \(-0.182925\pi\) | ||||
0.839369 | + | 0.543562i | \(0.182925\pi\) | |||||||
\(368\) | 658.197 | + | 65.9227i | 1.78858 | + | 0.179138i | ||||
\(369\) | − | 190.857i | − | 0.517228i | ||||||
\(370\) | 45.5496 | + | 47.8817i | 0.123107 | + | 0.129410i | ||||
\(371\) | −649.737 | −1.75131 | ||||||||
\(372\) | −33.4918 | − | 1.67302i | −0.0900316 | − | 0.00449738i | ||||
\(373\) | −478.196 | −1.28203 | −0.641014 | − | 0.767530i | \(-0.721486\pi\) | ||||
−0.641014 | + | 0.767530i | \(0.721486\pi\) | |||||||
\(374\) | 215.358 | − | 474.329i | 0.575825 | − | 1.26826i | ||||
\(375\) | 69.7238 | 0.185930 | ||||||||
\(376\) | −86.1794 | + | 74.1532i | −0.229201 | + | 0.197216i | ||||
\(377\) | −318.387 | −0.844527 | ||||||||
\(378\) | −49.3018 | − | 51.8260i | −0.130428 | − | 0.137106i | ||||
\(379\) | 103.118i | 0.272080i | 0.990703 | + | 0.136040i | \(0.0434376\pi\) | ||||
−0.990703 | + | 0.136040i | \(0.956562\pi\) | |||||||
\(380\) | 53.2534 | + | 2.66018i | 0.140140 | + | 0.00700048i | ||||
\(381\) | −208.100 | −0.546195 | ||||||||
\(382\) | 73.0660 | + | 76.8070i | 0.191272 | + | 0.201065i | ||||
\(383\) | −94.0194 | −0.245482 | −0.122741 | − | 0.992439i | \(-0.539168\pi\) | ||||
−0.122741 | + | 0.992439i | \(0.539168\pi\) | |||||||
\(384\) | 127.135 | + | 181.628i | 0.331080 | + | 0.472990i | ||||
\(385\) | −57.2767 | + | 23.1535i | −0.148771 | + | 0.0601390i | ||||
\(386\) | −159.366 | + | 151.604i | −0.412865 | + | 0.392756i | ||||
\(387\) | −25.7192 | −0.0664579 | ||||||||
\(388\) | −14.8104 | + | 296.486i | −0.0381712 | + | 0.764138i | ||||
\(389\) | − | 393.780i | − | 1.01229i | −0.862449 | − | 0.506143i | \(-0.831071\pi\) | ||
0.862449 | − | 0.506143i | \(-0.168929\pi\) | |||||||
\(390\) | −12.9682 | − | 13.6321i | −0.0332517 | − | 0.0349542i | ||||
\(391\) | 978.947i | 2.50370i | ||||||||
\(392\) | 9.84833 | − | 8.47401i | 0.0251233 | − | 0.0216174i | ||||
\(393\) | − | 116.188i | − | 0.295644i | ||||||
\(394\) | −42.2104 | − | 44.3715i | −0.107133 | − | 0.112618i | ||||
\(395\) | 67.1372 | 0.169968 | ||||||||
\(396\) | 43.3033 | + | 124.695i | 0.109352 | + | 0.314886i | ||||
\(397\) | − | 255.238i | − | 0.642916i | −0.946924 | − | 0.321458i | \(-0.895827\pi\) | ||
0.946924 | − | 0.321458i | \(-0.104173\pi\) | |||||||
\(398\) | −193.613 | − | 203.526i | −0.486464 | − | 0.511371i | ||||
\(399\) | 194.758 | 0.488115 | ||||||||
\(400\) | −387.409 | − | 38.8015i | −0.968522 | − | 0.0970038i | ||||
\(401\) | 96.5850 | 0.240860 | 0.120430 | − | 0.992722i | \(-0.461573\pi\) | ||||
0.120430 | + | 0.992722i | \(0.461573\pi\) | |||||||
\(402\) | 105.324 | + | 110.716i | 0.261999 | + | 0.275413i | ||||
\(403\) | −32.2183 | −0.0799461 | ||||||||
\(404\) | −0.593530 | + | 11.8817i | −0.00146913 | + | 0.0294101i | ||||
\(405\) | 7.34370i | 0.0181326i | ||||||||
\(406\) | 477.065 | − | 453.829i | 1.17504 | − | 1.11780i | ||||
\(407\) | −166.946 | − | 412.987i | −0.410186 | − | 1.01471i | ||||
\(408\) | −248.705 | + | 213.999i | −0.609572 | + | 0.524507i | ||||
\(409\) | 124.861i | 0.305284i | 0.988282 | + | 0.152642i | \(0.0487782\pi\) | ||||
−0.988282 | + | 0.152642i | \(0.951222\pi\) | |||||||
\(410\) | 71.5586 | + | 75.2224i | 0.174533 | + | 0.183469i | ||||
\(411\) | − | 148.017i | − | 0.360139i | ||||||
\(412\) | −17.8138 | + | 356.609i | −0.0432373 | + | 0.865555i | ||||
\(413\) | −643.938 | −1.55917 | ||||||||
\(414\) | −170.973 | − | 179.726i | −0.412977 | − | 0.434122i | ||||
\(415\) | 20.9574i | 0.0504997i | ||||||||
\(416\) | 130.702 | + | 168.193i | 0.314188 | + | 0.404310i | ||||
\(417\) | − | 105.651i | − | 0.253360i | ||||||
\(418\) | −327.250 | − | 148.580i | −0.782894 | − | 0.355456i | ||||
\(419\) | 456.625i | 1.08980i | 0.838502 | + | 0.544898i | \(0.183432\pi\) | ||||
−0.838502 | + | 0.544898i | \(0.816568\pi\) | |||||||
\(420\) | 38.8625 | + | 1.94131i | 0.0925298 | + | 0.00462217i | ||||
\(421\) | − | 421.405i | − | 1.00096i | −0.865747 | − | 0.500481i | \(-0.833156\pi\) | ||
0.865747 | − | 0.500481i | \(-0.166844\pi\) | |||||||
\(422\) | −92.9092 | − | 97.6661i | −0.220164 | − | 0.231436i | ||||
\(423\) | 42.6340 | 0.100790 | ||||||||
\(424\) | −492.554 | − | 572.436i | −1.16168 | − | 1.35009i | ||||
\(425\) | − | 576.200i | − | 1.35576i | ||||||
\(426\) | 131.184 | − | 124.794i | 0.307943 | − | 0.292945i | ||||
\(427\) | 550.552i | 1.28935i | ||||||||
\(428\) | 6.89306 | − | 137.990i | 0.0161053 | − | 0.322407i | ||||
\(429\) | 47.5302 | + | 117.579i | 0.110793 | + | 0.274078i | ||||
\(430\) | 10.1367 | − | 9.64297i | 0.0235737 | − | 0.0224255i | ||||
\(431\) | − | 527.823i | − | 1.22465i | −0.790608 | − | 0.612323i | \(-0.790235\pi\) | ||
0.790608 | − | 0.612323i | \(-0.209765\pi\) | |||||||
\(432\) | 8.28540 | − | 82.7246i | 0.0191792 | − | 0.191492i | ||||
\(433\) | −384.044 | −0.886938 | −0.443469 | − | 0.896290i | \(-0.646252\pi\) | ||||
−0.443469 | + | 0.896290i | \(0.646252\pi\) | |||||||
\(434\) | 48.2753 | − | 45.9240i | 0.111233 | − | 0.105816i | ||||
\(435\) | −67.5996 | −0.155401 | ||||||||
\(436\) | 9.89878 | − | 198.161i | 0.0227036 | − | 0.454497i | ||||
\(437\) | 675.397 | 1.54553 | ||||||||
\(438\) | 88.6904 | + | 93.2314i | 0.202490 | + | 0.212857i | ||||
\(439\) | 582.820i | 1.32761i | 0.747907 | + | 0.663804i | \(0.231059\pi\) | ||||
−0.747907 | + | 0.663804i | \(0.768941\pi\) | |||||||
\(440\) | −63.8193 | − | 32.9101i | −0.145044 | − | 0.0747957i | ||||
\(441\) | −4.87209 | −0.0110478 | ||||||||
\(442\) | −228.395 | + | 217.271i | −0.516731 | + | 0.491563i | ||||
\(443\) | 237.992i | 0.537228i | 0.963248 | + | 0.268614i | \(0.0865656\pi\) | ||||
−0.963248 | + | 0.268614i | \(0.913434\pi\) | |||||||
\(444\) | −13.9976 | + | 280.214i | −0.0315261 | + | 0.631112i | ||||
\(445\) | 139.349i | 0.313145i | ||||||||
\(446\) | 213.720 | + | 224.663i | 0.479193 | + | 0.503728i | ||||
\(447\) | − | 448.030i | − | 1.00230i | ||||||
\(448\) | −435.584 | − | 65.7142i | −0.972286 | − | 0.146684i | ||||
\(449\) | −606.631 | −1.35107 | −0.675536 | − | 0.737327i | \(-0.736088\pi\) | ||||
−0.675536 | + | 0.737327i | \(0.736088\pi\) | |||||||
\(450\) | 100.633 | + | 105.785i | 0.223629 | + | 0.235078i | ||||
\(451\) | −262.272 | − | 648.804i | −0.581535 | − | 1.43859i | ||||
\(452\) | 29.2946 | − | 586.440i | 0.0648111 | − | 1.29743i | ||||
\(453\) | 211.294 | 0.466433 | ||||||||
\(454\) | 120.362 | + | 126.524i | 0.265114 | + | 0.278688i | ||||
\(455\) | 37.3848 | 0.0821645 | ||||||||
\(456\) | 147.642 | + | 171.587i | 0.323777 | + | 0.376288i | ||||
\(457\) | − | 424.013i | − | 0.927819i | −0.885883 | − | 0.463910i | \(-0.846446\pi\) | ||
0.885883 | − | 0.463910i | \(-0.153554\pi\) | |||||||
\(458\) | −31.8134 | + | 30.2639i | −0.0694616 | + | 0.0660784i | ||||
\(459\) | 123.038 | 0.268056 | ||||||||
\(460\) | 134.770 | + | 6.73223i | 0.292979 | + | 0.0146353i | ||||
\(461\) | 331.015 | 0.718037 | 0.359018 | − | 0.933330i | \(-0.383112\pi\) | ||||
0.359018 | + | 0.933330i | \(0.383112\pi\) | |||||||
\(462\) | −238.816 | − | 108.429i | −0.516918 | − | 0.234695i | ||||
\(463\) | −182.362 | −0.393870 | −0.196935 | − | 0.980417i | \(-0.563099\pi\) | ||||
−0.196935 | + | 0.980417i | \(0.563099\pi\) | |||||||
\(464\) | 761.489 | + | 76.2681i | 1.64114 | + | 0.164371i | ||||
\(465\) | −6.84056 | −0.0147109 | ||||||||
\(466\) | 369.047 | − | 351.072i | 0.791946 | − | 0.753373i | ||||
\(467\) | − | 759.886i | − | 1.62717i | −0.581449 | − | 0.813583i | \(-0.697514\pi\) | ||
0.581449 | − | 0.813583i | \(-0.302486\pi\) | |||||||
\(468\) | 3.98518 | − | 79.7781i | 0.00851534 | − | 0.170466i | ||||
\(469\) | −303.628 | −0.647395 | ||||||||
\(470\) | −16.8033 | + | 15.9849i | −0.0357517 | + | 0.0340104i | ||||
\(471\) | 202.933 | 0.430856 | ||||||||
\(472\) | −488.158 | − | 567.327i | −1.03423 | − | 1.20196i | ||||
\(473\) | −87.4305 | + | 35.3429i | −0.184842 | + | 0.0747207i | ||||
\(474\) | 196.450 | + | 206.509i | 0.414452 | + | 0.435672i | ||||
\(475\) | −397.533 | −0.836911 | ||||||||
\(476\) | 32.5250 | − | 651.109i | 0.0683299 | − | 1.36788i | ||||
\(477\) | 283.191i | 0.593693i | ||||||||
\(478\) | −87.5652 | + | 83.3002i | −0.183191 | + | 0.174268i | ||||
\(479\) | − | 616.933i | − | 1.28796i | −0.765043 | − | 0.643980i | \(-0.777282\pi\) | ||
0.765043 | − | 0.643980i | \(-0.222718\pi\) | |||||||
\(480\) | 27.7506 | + | 35.7106i | 0.0578138 | + | 0.0743971i | ||||
\(481\) | 269.559i | 0.560413i | ||||||||
\(482\) | −568.234 | + | 540.557i | −1.17891 | + | 1.12149i | ||||
\(483\) | 492.882 | 1.02046 | ||||||||
\(484\) | 318.560 | + | 364.384i | 0.658181 | + | 0.752860i | ||||
\(485\) | 60.5560i | 0.124858i | ||||||||
\(486\) | −22.5886 | + | 21.4884i | −0.0464787 | + | 0.0442149i | ||||
\(487\) | −697.177 | −1.43158 | −0.715788 | − | 0.698318i | \(-0.753932\pi\) | ||||
−0.715788 | + | 0.698318i | \(0.753932\pi\) | |||||||
\(488\) | −485.051 | + | 417.363i | −0.993958 | + | 0.855253i | ||||
\(489\) | −399.956 | −0.817907 | ||||||||
\(490\) | 1.92023 | − | 1.82671i | 0.00391884 | − | 0.00372797i | ||||
\(491\) | −345.736 | −0.704146 | −0.352073 | − | 0.935972i | \(-0.614523\pi\) | ||||
−0.352073 | + | 0.935972i | \(0.614523\pi\) | |||||||
\(492\) | −21.9903 | + | 440.217i | −0.0446957 | + | 0.894750i | ||||
\(493\) | 1132.58i | 2.29731i | ||||||||
\(494\) | 149.900 | + | 157.575i | 0.303441 | + | 0.318977i | ||||
\(495\) | 10.0916 | + | 24.9643i | 0.0203870 | + | 0.0504330i | ||||
\(496\) | 77.0569 | + | 7.71774i | 0.155357 | + | 0.0155600i | ||||
\(497\) | 359.759i | 0.723861i | ||||||||
\(498\) | −64.4633 | + | 61.3235i | −0.129444 | + | 0.123140i | ||||
\(499\) | 549.719i | 1.10164i | 0.834624 | + | 0.550821i | \(0.185685\pi\) | ||||
−0.834624 | + | 0.550821i | \(0.814315\pi\) | |||||||
\(500\) | −160.820 | − | 8.03348i | −0.321640 | − | 0.0160670i | ||||
\(501\) | −198.498 | −0.396203 | ||||||||
\(502\) | 73.6644 | − | 70.0765i | 0.146742 | − | 0.139595i | ||||
\(503\) | 493.699i | 0.981508i | 0.871298 | + | 0.490754i | \(0.163279\pi\) | ||||
−0.871298 | + | 0.490754i | \(0.836721\pi\) | |||||||
\(504\) | 107.744 | + | 125.219i | 0.213779 | + | 0.248450i | ||||
\(505\) | 2.42679i | 0.00480552i | ||||||||
\(506\) | −828.184 | − | 376.019i | −1.63673 | − | 0.743120i | ||||
\(507\) | 215.972i | 0.425980i | ||||||||
\(508\) | 479.988 | + | 23.9770i | 0.944859 | + | 0.0471988i | ||||
\(509\) | − | 132.789i | − | 0.260883i | −0.991456 | − | 0.130442i | \(-0.958361\pi\) | ||
0.991456 | − | 0.130442i | \(-0.0416395\pi\) | |||||||
\(510\) | −48.4927 | + | 46.1308i | −0.0950837 | + | 0.0904525i | ||||
\(511\) | −255.678 | −0.500348 | ||||||||
\(512\) | −272.312 | − | 433.578i | −0.531860 | − | 0.846833i | ||||
\(513\) | − | 84.8863i | − | 0.165470i | ||||||
\(514\) | −539.090 | − | 566.692i | −1.04881 | − | 1.10251i | ||||
\(515\) | 72.8359i | 0.141429i | ||||||||
\(516\) | 59.3220 | + | 2.96333i | 0.114965 | + | 0.00574289i | ||||
\(517\) | 144.931 | − | 58.5869i | 0.280331 | − | 0.113321i | ||||
\(518\) | −384.229 | − | 403.902i | −0.741756 | − | 0.779734i | ||||
\(519\) | 58.8351i | 0.113362i | ||||||||
\(520\) | 28.3407 | + | 32.9370i | 0.0545014 | + | 0.0633405i | ||||
\(521\) | 375.234 | 0.720219 | 0.360109 | − | 0.932910i | \(-0.382739\pi\) | ||||
0.360109 | + | 0.932910i | \(0.382739\pi\) | |||||||
\(522\) | −197.804 | − | 207.931i | −0.378934 | − | 0.398336i | ||||
\(523\) | 104.225 | 0.199284 | 0.0996419 | − | 0.995023i | \(-0.468230\pi\) | ||||
0.0996419 | + | 0.995023i | \(0.468230\pi\) | |||||||
\(524\) | −13.3870 | + | 267.991i | −0.0255477 | + | 0.511432i | ||||
\(525\) | −290.106 | −0.552583 | ||||||||
\(526\) | 394.008 | − | 374.817i | 0.749065 | − | 0.712581i | ||||
\(527\) | 114.608i | 0.217472i | ||||||||
\(528\) | −85.5129 | − | 292.601i | −0.161956 | − | 0.554169i | ||||
\(529\) | 1180.25 | 2.23111 | ||||||||
\(530\) | −106.178 | − | 111.614i | −0.200335 | − | 0.210592i | ||||
\(531\) | 280.664i | 0.528557i | ||||||||
\(532\) | −449.214 | − | 22.4397i | −0.844388 | − | 0.0421799i | ||||
\(533\) | 423.478i | 0.794518i | ||||||||
\(534\) | −428.628 | + | 407.751i | −0.802674 | + | 0.763578i | ||||
\(535\) | − | 28.1839i | − | 0.0526802i | ||||||
\(536\) | −230.175 | − | 267.505i | −0.429431 | − | 0.499076i | ||||
\(537\) | 382.289 | 0.711898 | ||||||||
\(538\) | −560.636 | + | 533.329i | −1.04207 | + | 0.991319i | ||||
\(539\) | −16.5623 | + | 6.69514i | −0.0307278 | + | 0.0124214i | ||||
\(540\) | 0.846131 | − | 16.9384i | 0.00156691 | − | 0.0313675i | ||||
\(541\) | 158.210 | 0.292440 | 0.146220 | − | 0.989252i | \(-0.453289\pi\) | ||||
0.146220 | + | 0.989252i | \(0.453289\pi\) | |||||||
\(542\) | 301.701 | − | 287.006i | 0.556643 | − | 0.529531i | ||||
\(543\) | 93.4086 | 0.172023 | ||||||||
\(544\) | 598.301 | − | 464.938i | 1.09982 | − | 0.854666i | ||||
\(545\) | − | 40.4735i | − | 0.0742634i | ||||||
\(546\) | 109.392 | + | 114.993i | 0.200351 | + | 0.210609i | ||||
\(547\) | 796.609 | 1.45632 | 0.728161 | − | 0.685406i | \(-0.240375\pi\) | ||||
0.728161 | + | 0.685406i | \(0.240375\pi\) | |||||||
\(548\) | −17.0543 | + | 341.405i | −0.0311210 | + | 0.623002i | ||||
\(549\) | 239.961 | 0.437087 | ||||||||
\(550\) | 487.462 | + | 221.321i | 0.886294 | + | 0.402402i | ||||
\(551\) | 781.388 | 1.41813 | ||||||||
\(552\) | 373.645 | + | 434.243i | 0.676892 | + | 0.786671i | ||||
\(553\) | −566.330 | −1.02410 | ||||||||
\(554\) | 26.6326 | + | 27.9961i | 0.0480732 | + | 0.0505346i | ||||
\(555\) | 57.2325i | 0.103122i | ||||||||
\(556\) | −12.1730 | + | 243.687i | −0.0218938 | + | 0.438286i | ||||
\(557\) | 288.040 | 0.517127 | 0.258563 | − | 0.965994i | \(-0.416751\pi\) | ||||
0.258563 | + | 0.965994i | \(0.416751\pi\) | |||||||
\(558\) | −20.0162 | − | 21.0410i | −0.0358713 | − | 0.0377079i | ||||
\(559\) | 57.0664 | 0.102087 | ||||||||
\(560\) | −89.4137 | − | 8.95537i | −0.159667 | − | 0.0159917i | ||||
\(561\) | 418.257 | − | 169.076i | 0.745556 | − | 0.301383i | ||||
\(562\) | −389.056 | + | 370.107i | −0.692271 | + | 0.658553i | ||||
\(563\) | 694.692 | 1.23391 | 0.616956 | − | 0.786998i | \(-0.288366\pi\) | ||||
0.616956 | + | 0.786998i | \(0.288366\pi\) | |||||||
\(564\) | −98.3365 | − | 4.91223i | −0.174355 | − | 0.00870963i | ||||
\(565\) | − | 119.778i | − | 0.211997i | ||||||
\(566\) | 564.108 | + | 592.990i | 0.996657 | + | 1.04769i | ||||
\(567\) | − | 61.9472i | − | 0.109254i | ||||||
\(568\) | −316.958 | + | 272.727i | −0.558024 | + | 0.480152i | ||||
\(569\) | 192.576i | 0.338447i | 0.985578 | + | 0.169224i | \(0.0541260\pi\) | ||||
−0.985578 | + | 0.169224i | \(0.945874\pi\) | |||||||
\(570\) | 31.8266 | + | 33.4562i | 0.0558362 | + | 0.0586950i | ||||
\(571\) | −338.089 | −0.592100 | −0.296050 | − | 0.955172i | \(-0.595670\pi\) | ||||
−0.296050 | + | 0.955172i | \(0.595670\pi\) | |||||||
\(572\) | −96.0823 | − | 276.676i | −0.167976 | − | 0.483699i | ||||
\(573\) | 91.8067i | 0.160221i | ||||||||
\(574\) | −603.626 | − | 634.532i | −1.05161 | − | 1.10546i | ||||
\(575\) | −1006.05 | −1.74966 | ||||||||
\(576\) | −28.6419 | + | 189.852i | −0.0497255 | + | 0.329604i | ||||
\(577\) | −998.324 | −1.73020 | −0.865099 | − | 0.501601i | \(-0.832745\pi\) | ||||
−0.865099 | + | 0.501601i | \(0.832745\pi\) | |||||||
\(578\) | 374.501 | + | 393.675i | 0.647925 | + | 0.681099i | ||||
\(579\) | −190.489 | −0.328996 | ||||||||
\(580\) | 155.920 | + | 7.78873i | 0.268828 | + | 0.0134288i | ||||
\(581\) | − | 176.784i | − | 0.304276i | ||||||
\(582\) | −186.266 | + | 177.193i | −0.320044 | + | 0.304456i | ||||
\(583\) | 389.156 | + | 962.687i | 0.667506 | + | 1.65126i | ||||
\(584\) | −193.825 | − | 225.259i | −0.331892 | − | 0.385718i | ||||
\(585\) | − | 16.2944i | − | 0.0278536i | ||||||
\(586\) | 281.480 | + | 295.892i | 0.480342 | + | 0.504935i | ||||
\(587\) | − | 685.580i | − | 1.16794i | −0.811776 | − | 0.583969i | \(-0.801499\pi\) | ||
0.811776 | − | 0.583969i | \(-0.198501\pi\) | |||||||
\(588\) | 11.2376 | + | 0.561355i | 0.0191116 | + | 0.000954686i | ||||
\(589\) | 79.0705 | 0.134245 | ||||||||
\(590\) | −105.230 | − | 110.618i | −0.178356 | − | 0.187488i | ||||
\(591\) | − | 53.0369i | − | 0.0897409i | ||||||
\(592\) | 64.5716 | − | 644.707i | 0.109074 | − | 1.08903i | ||||
\(593\) | − | 384.408i | − | 0.648243i | −0.946016 | − | 0.324121i | \(-0.894931\pi\) | ||
0.946016 | − | 0.324121i | \(-0.105069\pi\) | |||||||
\(594\) | −47.2593 | + | 104.089i | −0.0795612 | + | 0.175234i | ||||
\(595\) | − | 132.986i | − | 0.223507i | ||||||
\(596\) | −51.6214 | + | 1033.39i | −0.0866131 | + | 1.73388i | ||||
\(597\) | − | 243.273i | − | 0.407492i | ||||||
\(598\) | 379.358 | + | 398.781i | 0.634377 | + | 0.666858i | ||||
\(599\) | −418.694 | −0.698989 | −0.349495 | − | 0.936938i | \(-0.613647\pi\) | ||||
−0.349495 | + | 0.936938i | \(0.613647\pi\) | |||||||
\(600\) | −219.924 | − | 255.591i | −0.366540 | − | 0.425985i | ||||
\(601\) | 516.268i | 0.859015i | 0.903063 | + | 0.429508i | \(0.141313\pi\) | ||||
−0.903063 | + | 0.429508i | \(0.858687\pi\) | |||||||
\(602\) | −85.5072 | + | 81.3425i | −0.142039 | + | 0.135120i | ||||
\(603\) | 132.338i | 0.219466i | ||||||||
\(604\) | −487.355 | − | 24.3450i | −0.806879 | − | 0.0403063i | ||||
\(605\) | 68.6111 | + | 70.9967i | 0.113407 | + | 0.117350i | ||||
\(606\) | −7.46461 | + | 7.10104i | −0.0123178 | + | 0.0117179i | ||||
\(607\) | − | 400.034i | − | 0.659034i | −0.944150 | − | 0.329517i | \(-0.893114\pi\) | ||
0.944150 | − | 0.329517i | \(-0.106886\pi\) | |||||||
\(608\) | −320.771 | − | 412.781i | −0.527584 | − | 0.678916i | ||||
\(609\) | 570.231 | 0.936340 | ||||||||
\(610\) | −94.5756 | + | 89.9692i | −0.155042 | + | 0.147490i | ||||
\(611\) | −94.5973 | −0.154824 | ||||||||
\(612\) | −283.789 | − | 14.1762i | −0.463708 | − | 0.0231637i | ||||
\(613\) | 489.692 | 0.798844 | 0.399422 | − | 0.916767i | \(-0.369211\pi\) | ||||
0.399422 | + | 0.916767i | \(0.369211\pi\) | |||||||
\(614\) | 114.171 | + | 120.017i | 0.185947 | + | 0.195467i | ||||
\(615\) | 89.9126i | 0.146199i | ||||||||
\(616\) | 538.342 | + | 277.610i | 0.873932 | + | 0.450666i | ||||
\(617\) | 460.694 | 0.746669 | 0.373334 | − | 0.927697i | \(-0.378214\pi\) | ||||
0.373334 | + | 0.927697i | \(0.378214\pi\) | |||||||
\(618\) | −224.038 | + | 213.125i | −0.362520 | + | 0.344863i | ||||
\(619\) | − | 332.665i | − | 0.537424i | −0.963221 | − | 0.268712i | \(-0.913402\pi\) | ||
0.963221 | − | 0.268712i | \(-0.0865979\pi\) | |||||||
\(620\) | 15.7779 | + | 0.788160i | 0.0254483 | + | 0.00127123i | ||||
\(621\) | − | 214.825i | − | 0.345934i | ||||||
\(622\) | 443.214 | + | 465.906i | 0.712562 | + | 0.749046i | ||||
\(623\) | − | 1175.47i | − | 1.88679i | ||||||
\(624\) | −18.3838 | + | 183.551i | −0.0294613 | + | 0.294152i | ||||
\(625\) | 575.508 | 0.920813 | ||||||||
\(626\) | 677.888 | + | 712.596i | 1.08289 | + | 1.13833i | ||||
\(627\) | −116.649 | − | 288.564i | −0.186043 | − | 0.460230i | ||||
\(628\) | −468.071 | − | 23.3817i | −0.745336 | − | 0.0372320i | ||||
\(629\) | 958.883 | 1.52446 | ||||||||
\(630\) | 23.2260 | + | 24.4152i | 0.0368667 | + | 0.0387543i | ||||
\(631\) | −625.527 | −0.991327 | −0.495663 | − | 0.868515i | \(-0.665075\pi\) | ||||
−0.495663 | + | 0.868515i | \(0.665075\pi\) | |||||||
\(632\) | −429.324 | − | 498.952i | −0.679310 | − | 0.789481i | ||||
\(633\) | − | 116.739i | − | 0.184422i | ||||||
\(634\) | −416.968 | + | 396.659i | −0.657678 | + | 0.625645i | ||||
\(635\) | 98.0358 | 0.154387 | ||||||||
\(636\) | 32.6289 | − | 653.188i | 0.0513033 | − | 1.02703i | ||||
\(637\) | 10.8103 | 0.0169707 | ||||||||
\(638\) | −958.153 | − | 435.028i | −1.50181 | − | 0.681862i | ||||
\(639\) | 156.803 | 0.245388 | ||||||||
\(640\) | −59.8929 | − | 85.5648i | −0.0935827 | − | 0.133695i | ||||
\(641\) | −70.3254 | −0.109712 | −0.0548560 | − | 0.998494i | \(-0.517470\pi\) | ||||
−0.0548560 | + | 0.998494i | \(0.517470\pi\) | |||||||
\(642\) | 86.6915 | − | 82.4691i | 0.135034 | − | 0.128457i | ||||
\(643\) | 465.761i | 0.724356i | 0.932109 | + | 0.362178i | \(0.117967\pi\) | ||||
−0.932109 | + | 0.362178i | \(0.882033\pi\) | |||||||
\(644\) | −1136.84 | − | 56.7891i | −1.76529 | − | 0.0881819i | ||||
\(645\) | 12.1163 | 0.0187850 | ||||||||
\(646\) | 560.530 | − | 533.228i | 0.867693 | − | 0.825431i | ||||
\(647\) | −536.154 | −0.828677 | −0.414339 | − | 0.910123i | \(-0.635987\pi\) | ||||
−0.414339 | + | 0.910123i | \(0.635987\pi\) | |||||||
\(648\) | 54.5772 | − | 46.9610i | 0.0842240 | − | 0.0724707i | ||||
\(649\) | 385.683 | + | 954.095i | 0.594273 | + | 1.47010i | ||||
\(650\) | −223.287 | − | 234.719i | −0.343518 | − | 0.361106i | ||||
\(651\) | 57.7030 | 0.0886375 | ||||||||
\(652\) | 922.509 | + | 46.0824i | 1.41489 | + | 0.0706785i | ||||
\(653\) | − | 239.213i | − | 0.366329i | −0.983082 | − | 0.183164i | \(-0.941366\pi\) | ||
0.983082 | − | 0.183164i | \(-0.0586340\pi\) | |||||||
\(654\) | 124.493 | − | 118.430i | 0.190357 | − | 0.181085i | ||||
\(655\) | 54.7360i | 0.0835664i | ||||||||
\(656\) | 101.442 | − | 1012.84i | 0.154638 | − | 1.54396i | ||||
\(657\) | 111.439i | 0.169617i | ||||||||
\(658\) | 141.743 | − | 134.839i | 0.215415 | − | 0.204923i | ||||
\(659\) | 1002.62 | 1.52142 | 0.760712 | − | 0.649089i | \(-0.224850\pi\) | ||||
0.760712 | + | 0.649089i | \(0.224850\pi\) | |||||||
\(660\) | −20.4001 | − | 58.7436i | −0.0309093 | − | 0.0890055i | ||||
\(661\) | 604.607i | 0.914686i | 0.889290 | + | 0.457343i | \(0.151199\pi\) | ||||
−0.889290 | + | 0.457343i | \(0.848801\pi\) | |||||||
\(662\) | −429.482 | + | 408.564i | −0.648765 | + | 0.617166i | ||||
\(663\) | −272.999 | −0.411762 | ||||||||
\(664\) | 155.752 | − | 134.017i | 0.234566 | − | 0.201833i | ||||
\(665\) | −91.7503 | −0.137970 | ||||||||
\(666\) | −176.043 | + | 167.468i | −0.264329 | + | 0.251454i | ||||
\(667\) | 1977.49 | 2.96475 | ||||||||
\(668\) | 457.840 | + | 22.8706i | 0.685389 | + | 0.0342374i | ||||
\(669\) | 268.537i | 0.401401i | ||||||||
\(670\) | −49.6178 | − | 52.1583i | −0.0740564 | − | 0.0778481i | ||||
\(671\) | 815.729 | − | 329.750i | 1.21569 | − | 0.491431i | ||||
\(672\) | −234.088 | − | 301.234i | −0.348345 | − | 0.448265i | ||||
\(673\) | 550.857i | 0.818509i | 0.912420 | + | 0.409255i | \(0.134211\pi\) | ||||
−0.912420 | + | 0.409255i | \(0.865789\pi\) | |||||||
\(674\) | 856.297 | − | 814.590i | 1.27047 | − | 1.20859i | ||||
\(675\) | 126.444i | 0.187325i | ||||||||
\(676\) | 24.8840 | − | 498.145i | 0.0368106 | − | 0.736900i | ||||
\(677\) | −867.027 | −1.28069 | −0.640345 | − | 0.768087i | \(-0.721209\pi\) | ||||
−0.640345 | + | 0.768087i | \(0.721209\pi\) | |||||||
\(678\) | 368.428 | − | 350.483i | 0.543404 | − | 0.516937i | ||||
\(679\) | − | 510.815i | − | 0.752305i | ||||||
\(680\) | 117.165 | − | 100.815i | 0.172301 | − | 0.148257i | ||||
\(681\) | 151.233i | 0.222075i | ||||||||
\(682\) | −96.9577 | − | 44.0215i | −0.142167 | − | 0.0645476i | ||||
\(683\) | 62.0673i | 0.0908745i | 0.998967 | + | 0.0454372i | \(0.0144681\pi\) | ||||
−0.998967 | + | 0.0454372i | \(0.985532\pi\) | |||||||
\(684\) | −9.78047 | + | 195.792i | −0.0142989 | + | 0.286246i | ||||
\(685\) | 69.7307i | 0.101797i | ||||||||
\(686\) | −504.920 | + | 480.328i | −0.736036 | + | 0.700186i | ||||
\(687\) | −38.0263 | −0.0553512 | ||||||||
\(688\) | −136.486 | − | 13.6700i | −0.198381 | − | 0.0198692i | ||||
\(689\) | − | 628.351i | − | 0.911976i | ||||||
\(690\) | 80.5449 | + | 84.6689i | 0.116732 | + | 0.122708i | ||||
\(691\) | − | 524.861i | − | 0.759567i | −0.925075 | − | 0.379784i | \(-0.875998\pi\) | ||
0.925075 | − | 0.379784i | \(-0.124002\pi\) | |||||||
\(692\) | 6.77889 | − | 135.705i | 0.00979609 | − | 0.196105i | ||||
\(693\) | −85.1266 | − | 210.585i | −0.122838 | − | 0.303874i | ||||
\(694\) | −762.580 | − | 801.624i | −1.09882 | − | 1.15508i | ||||
\(695\) | 49.7721i | 0.0716146i | ||||||||
\(696\) | 432.281 | + | 502.389i | 0.621094 | + | 0.721823i | ||||
\(697\) | 1506.41 | 2.16128 | ||||||||
\(698\) | 403.644 | + | 424.310i | 0.578286 | + | 0.607894i | ||||
\(699\) | 441.118 | 0.631070 | ||||||||
\(700\) | 669.137 | + | 33.4256i | 0.955910 | + | 0.0477508i | ||||
\(701\) | 37.0671 | 0.0528774 | 0.0264387 | − | 0.999650i | \(-0.491583\pi\) | ||||
0.0264387 | + | 0.999650i | \(0.491583\pi\) | |||||||
\(702\) | 50.1202 | − | 47.6790i | 0.0713963 | − | 0.0679188i | ||||
\(703\) | − | 661.554i | − | 0.941045i | ||||||
\(704\) | 163.525 | + | 684.745i | 0.232279 | + | 0.972649i | ||||
\(705\) | −20.0848 | −0.0284891 | ||||||||
\(706\) | −401.592 | − | 422.154i | −0.568827 | − | 0.597951i | ||||
\(707\) | − | 20.4710i | − | 0.0289547i | ||||||
\(708\) | 32.3377 | − | 647.358i | 0.0456747 | − | 0.914348i | ||||
\(709\) | − | 567.981i | − | 0.801102i | −0.916275 | − | 0.400551i | \(-0.868819\pi\) | ||
0.916275 | − | 0.400551i | \(-0.131181\pi\) | |||||||
\(710\) | −61.8006 | + | 58.7905i | −0.0870430 | + | 0.0828035i | ||||
\(711\) | 246.838i | 0.347170i | ||||||||
\(712\) | 1035.62 | − | 891.102i | 1.45452 | − | 1.25155i | ||||
\(713\) | 200.107 | 0.280655 | ||||||||
\(714\) | 409.056 | − | 389.132i | 0.572908 | − | 0.545003i | ||||
\(715\) | −22.3914 | − | 55.3914i | −0.0313167 | − | 0.0774705i | ||||
\(716\) | −881.759 | − | 44.0468i | −1.23151 | − | 0.0615178i | ||||
\(717\) | −104.666 | −0.145978 | ||||||||
\(718\) | 511.503 | − | 486.590i | 0.712400 | − | 0.677701i | ||||
\(719\) | −132.231 | −0.183909 | −0.0919547 | − | 0.995763i | \(-0.529311\pi\) | ||||
−0.0919547 | + | 0.995763i | \(0.529311\pi\) | |||||||
\(720\) | −3.90324 | + | 38.9714i | −0.00542117 | + | 0.0541270i | ||||
\(721\) | − | 614.401i | − | 0.852151i | ||||||
\(722\) | 129.747 | + | 136.390i | 0.179705 | + | 0.188906i | ||||
\(723\) | −679.205 | −0.939426 | ||||||||
\(724\) | −215.449 | − | 10.7624i | −0.297582 | − | 0.0148652i | ||||
\(725\) | −1163.93 | −1.60543 | ||||||||
\(726\) | −17.6171 | + | 418.786i | −0.0242660 | + | 0.576840i | ||||
\(727\) | −330.501 | −0.454610 | −0.227305 | − | 0.973824i | \(-0.572991\pi\) | ||||
−0.227305 | + | 0.973824i | \(0.572991\pi\) | |||||||
\(728\) | −239.066 | − | 277.838i | −0.328387 | − | 0.381645i | ||||
\(729\) | −27.0000 | −0.0370370 | ||||||||
\(730\) | −41.7819 | − | 43.9212i | −0.0572355 | − | 0.0601660i | ||||
\(731\) | − | 202.998i | − | 0.277700i | ||||||
\(732\) | −553.476 | − | 27.6480i | −0.756115 | − | 0.0377704i | ||||
\(733\) | 644.778 | 0.879643 | 0.439822 | − | 0.898085i | \(-0.355042\pi\) | ||||
0.439822 | + | 0.898085i | \(0.355042\pi\) | |||||||
\(734\) | −849.280 | − | 892.763i | −1.15706 | − | 1.21630i | ||||
\(735\) | 2.29524 | 0.00312277 | ||||||||
\(736\) | −811.788 | − | 1044.64i | −1.10297 | − | 1.41935i | ||||
\(737\) | 181.856 | + | 449.873i | 0.246752 | + | 0.610411i | ||||
\(738\) | −276.564 | + | 263.094i | −0.374748 | + | 0.356495i | ||||
\(739\) | −1250.88 | −1.69267 | −0.846335 | − | 0.532651i | \(-0.821196\pi\) | ||||
−0.846335 | + | 0.532651i | \(0.821196\pi\) | |||||||
\(740\) | 6.59425 | − | 132.008i | 0.00891115 | − | 0.178390i | ||||
\(741\) | 188.348i | 0.254180i | ||||||||
\(742\) | 895.652 | + | 941.510i | 1.20708 | + | 1.26888i | ||||
\(743\) | 1357.80i | 1.82745i | 0.406330 | + | 0.913726i | \(0.366808\pi\) | ||||
−0.406330 | + | 0.913726i | \(0.633192\pi\) | |||||||
\(744\) | 43.7436 | + | 50.8379i | 0.0587951 | + | 0.0683305i | ||||
\(745\) | 211.066i | 0.283311i | ||||||||
\(746\) | 659.186 | + | 692.936i | 0.883627 | + | 0.928869i | ||||
\(747\) | −77.0523 | −0.103149 | ||||||||
\(748\) | −984.200 | + | 341.787i | −1.31578 | + | 0.456934i | ||||
\(749\) | 237.743i | 0.317414i | ||||||||
\(750\) | −96.1132 | − | 101.034i | −0.128151 | − | 0.134712i | ||||
\(751\) | 376.583 | 0.501442 | 0.250721 | − | 0.968059i | \(-0.419332\pi\) | ||||
0.250721 | + | 0.968059i | \(0.419332\pi\) | |||||||
\(752\) | 226.250 | + | 22.6604i | 0.300864 | + | 0.0301335i | ||||
\(753\) | 88.0504 | 0.116933 | ||||||||
\(754\) | 438.891 | + | 461.362i | 0.582083 | + | 0.611886i | ||||
\(755\) | −99.5404 | −0.131842 | ||||||||
\(756\) | −7.13746 | + | 142.883i | −0.00944109 | + | 0.188998i | ||||
\(757\) | 134.176i | 0.177247i | 0.996065 | + | 0.0886237i | \(0.0282468\pi\) | ||||
−0.996065 | + | 0.0886237i | \(0.971753\pi\) | |||||||
\(758\) | 149.425 | − | 142.147i | 0.197130 | − | 0.187529i | ||||
\(759\) | −295.209 | − | 730.282i | −0.388944 | − | 0.962163i | ||||
\(760\) | −69.5541 | − | 80.8345i | −0.0915186 | − | 0.106361i | ||||
\(761\) | 467.483i | 0.614301i | 0.951661 | + | 0.307151i | \(0.0993755\pi\) | ||||
−0.951661 | + | 0.307151i | \(0.900624\pi\) | |||||||
\(762\) | 286.863 | + | 301.550i | 0.376460 | + | 0.395735i | ||||
\(763\) | 341.411i | 0.447459i | ||||||||
\(764\) | 10.5778 | − | 211.754i | 0.0138453 | − | 0.277166i | ||||
\(765\) | −57.9629 | −0.0757684 | ||||||||
\(766\) | 129.604 | + | 136.240i | 0.169196 | + | 0.177859i | ||||
\(767\) | − | 622.743i | − | 0.811921i | ||||||
\(768\) | 87.9377 | − | 434.597i | 0.114502 | − | 0.565882i | ||||
\(769\) | − | 358.934i | − | 0.466754i | −0.972386 | − | 0.233377i | \(-0.925022\pi\) | ||
0.972386 | − | 0.233377i | \(-0.0749776\pi\) | |||||||
\(770\) | 112.506 | + | 51.0808i | 0.146112 | + | 0.0663387i | ||||
\(771\) | − | 677.361i | − | 0.878549i | ||||||
\(772\) | 439.367 | + | 21.9478i | 0.569128 | + | 0.0284298i | ||||
\(773\) | 1478.19i | 1.91228i | 0.292909 | + | 0.956140i | \(0.405377\pi\) | ||||
−0.292909 | + | 0.956140i | \(0.594623\pi\) | |||||||
\(774\) | 35.4535 | + | 37.2688i | 0.0458056 | + | 0.0481509i | ||||
\(775\) | −117.781 | −0.151976 | ||||||||
\(776\) | 450.042 | − | 387.239i | 0.579951 | − | 0.499020i | ||||
\(777\) | − | 482.780i | − | 0.621339i | ||||||
\(778\) | −570.611 | + | 542.819i | −0.733434 | + | 0.697711i | ||||
\(779\) | − | 1039.31i | − | 1.33415i | ||||||
\(780\) | −1.87741 | + | 37.5834i | −0.00240694 | + | 0.0481838i | ||||
\(781\) | 533.039 | − | 215.476i | 0.682508 | − | 0.275897i | ||||
\(782\) | 1418.56 | − | 1349.46i | 1.81401 | − | 1.72566i | ||||
\(783\) | − | 248.538i | − | 0.317418i | ||||||
\(784\) | −25.8551 | − | 2.58956i | −0.0329785 | − | 0.00330301i | ||||
\(785\) | −95.6016 | −0.121786 | ||||||||
\(786\) | −168.364 | + | 160.163i | −0.214203 | + | 0.203770i | ||||
\(787\) | 808.210 | 1.02695 | 0.513476 | − | 0.858104i | \(-0.328358\pi\) | ||||
0.513476 | + | 0.858104i | \(0.328358\pi\) | |||||||
\(788\) | −6.11083 | + | 122.331i | −0.00775486 | + | 0.155242i | ||||
\(789\) | 470.954 | 0.596900 | ||||||||
\(790\) | −92.5475 | − | 97.2860i | −0.117149 | − | 0.123147i | ||||
\(791\) | 1010.38i | 1.27734i | ||||||||
\(792\) | 120.998 | − | 234.639i | 0.152775 | − | 0.296262i | ||||
\(793\) | −532.431 | −0.671413 | ||||||||
\(794\) | −369.855 | + | 351.841i | −0.465813 | + | 0.443125i | ||||
\(795\) | − | 133.411i | − | 0.167813i | ||||||
\(796\) | −28.0295 | + | 561.114i | −0.0352129 | + | 0.704917i | ||||
\(797\) | 968.488i | 1.21517i | 0.794256 | + | 0.607584i | \(0.207861\pi\) | ||||
−0.794256 | + | 0.607584i | \(0.792139\pi\) | |||||||
\(798\) | −268.471 | − | 282.217i | −0.336430 | − | 0.353655i | ||||
\(799\) | 336.505i | 0.421157i | ||||||||
\(800\) | 477.811 | + | 614.867i | 0.597264 | + | 0.768584i | ||||
\(801\) | −512.335 | −0.639619 | ||||||||
\(802\) | −133.141 | − | 139.958i | −0.166011 | − | 0.174511i | ||||
\(803\) | 153.137 | + | 378.827i | 0.190706 | + | 0.471764i | ||||
\(804\) | 15.2478 | − | 305.241i | 0.0189649 | − | 0.379653i | ||||
\(805\) | −232.196 | −0.288442 | ||||||||
\(806\) | 44.4124 | + | 46.6863i | 0.0551022 | + | 0.0579235i | ||||
\(807\) | −670.123 | −0.830388 | ||||||||
\(808\) | 18.0355 | − | 15.5187i | 0.0223211 | − | 0.0192063i | ||||
\(809\) | 335.049i | 0.414151i | 0.978325 | + | 0.207076i | \(0.0663947\pi\) | ||||
−0.978325 | + | 0.207076i | \(0.933605\pi\) | |||||||
\(810\) | 10.6415 | − | 10.1232i | 0.0131376 | − | 0.0124977i | ||||
\(811\) | −676.279 | −0.833883 | −0.416942 | − | 0.908933i | \(-0.636898\pi\) | ||||
−0.416942 | + | 0.908933i | \(0.636898\pi\) | |||||||
\(812\) | −1315.25 | − | 65.7012i | −1.61977 | − | 0.0809128i | ||||
\(813\) | 360.620 | 0.443567 | ||||||||
\(814\) | −368.312 | + | 811.210i | −0.452472 | + | 0.996573i | ||||
\(815\) | 188.419 | 0.231189 | ||||||||
\(816\) | 652.934 | + | 65.3956i | 0.800164 | + | 0.0801416i | ||||
\(817\) | −140.053 | −0.171423 | ||||||||
\(818\) | 180.932 | − | 172.119i | 0.221188 | − | 0.210415i | ||||
\(819\) | 137.450i | 0.167826i | ||||||||
\(820\) | 10.3596 | − | 207.386i | 0.0126337 | − | 0.252909i | ||||
\(821\) | −550.109 | −0.670048 | −0.335024 | − | 0.942210i | \(-0.608744\pi\) | ||||
−0.335024 | + | 0.942210i | \(0.608744\pi\) | |||||||
\(822\) | −214.486 | + | 204.039i | −0.260932 | + | 0.248223i | ||||
\(823\) | −849.036 | −1.03164 | −0.515818 | − | 0.856698i | \(-0.672512\pi\) | ||||
−0.515818 | + | 0.856698i | \(0.672512\pi\) | |||||||
\(824\) | 541.304 | − | 465.766i | 0.656923 | − | 0.565250i | ||||
\(825\) | 173.757 | + | 429.837i | 0.210615 | + | 0.521015i | ||||
\(826\) | 887.659 | + | 933.107i | 1.07465 | + | 1.12967i | ||||
\(827\) | −833.306 | −1.00762 | −0.503812 | − | 0.863813i | \(-0.668070\pi\) | ||||
−0.503812 | + | 0.863813i | \(0.668070\pi\) | |||||||
\(828\) | −24.7518 | + | 495.500i | −0.0298935 | + | 0.598430i | ||||
\(829\) | 155.036i | 0.187016i | 0.995619 | + | 0.0935081i | \(0.0298081\pi\) | ||||
−0.995619 | + | 0.0935081i | \(0.970192\pi\) | |||||||
\(830\) | 30.3686 | − | 28.8894i | 0.0365886 | − | 0.0348065i | ||||
\(831\) | 33.4635i | 0.0402690i | ||||||||
\(832\) | 63.5513 | − | 421.247i | 0.0763837 | − | 0.506307i | ||||
\(833\) | − | 38.4548i | − | 0.0461642i | ||||||
\(834\) | −153.095 | + | 145.638i | −0.183567 | + | 0.174626i | ||||
\(835\) | 93.5120 | 0.111990 | ||||||||
\(836\) | 235.806 | + | 679.021i | 0.282065 | + | 0.812226i | ||||
\(837\) | − | 25.1502i | − | 0.0300480i | ||||||
\(838\) | 661.677 | − | 629.450i | 0.789591 | − | 0.751133i | ||||
\(839\) | −218.554 | −0.260494 | −0.130247 | − | 0.991482i | \(-0.541577\pi\) | ||||
−0.130247 | + | 0.991482i | \(0.541577\pi\) | |||||||
\(840\) | −50.7583 | − | 58.9903i | −0.0604265 | − | 0.0702265i | ||||
\(841\) | 1446.82 | 1.72036 | ||||||||
\(842\) | −610.643 | + | 580.900i | −0.725229 | + | 0.689906i | ||||
\(843\) | −465.035 | −0.551643 | ||||||||
\(844\) | −13.4505 | + | 269.262i | −0.0159367 | + | 0.319031i | ||||
\(845\) | − | 101.744i | − | 0.120407i | ||||||
\(846\) | −58.7703 | − | 61.7794i | −0.0694685 | − | 0.0730253i | ||||
\(847\) | −578.763 | − | 598.887i | −0.683309 | − | 0.707068i | ||||
\(848\) | −150.519 | + | 1502.84i | −0.177498 | + | 1.77221i | ||||
\(849\) | 708.796i | 0.834860i | ||||||||
\(850\) | −834.949 | + | 794.282i | −0.982293 | + | 0.934449i | ||||
\(851\) | − | 1674.22i | − | 1.96736i | ||||||
\(852\) | −361.670 | − | 18.0666i | −0.424495 | − | 0.0212049i | ||||
\(853\) | −1258.77 | −1.47569 | −0.737846 | − | 0.674969i | \(-0.764157\pi\) | ||||
−0.737846 | + | 0.674969i | \(0.764157\pi\) | |||||||
\(854\) | 797.785 | − | 758.927i | 0.934174 | − | 0.888674i | ||||
\(855\) | 39.9898i | 0.0467717i | ||||||||
\(856\) | −209.458 | + | 180.229i | −0.244694 | + | 0.210547i | ||||
\(857\) | − | 1404.25i | − | 1.63856i | −0.573394 | − | 0.819280i | \(-0.694374\pi\) | ||
0.573394 | − | 0.819280i | \(-0.305626\pi\) | |||||||
\(858\) | 104.860 | − | 230.955i | 0.122215 | − | 0.269179i | ||||
\(859\) | − | 90.5807i | − | 0.105449i | −0.998609 | − | 0.0527245i | \(-0.983209\pi\) | ||
0.998609 | − | 0.0527245i | \(-0.0167905\pi\) | |||||||
\(860\) | −27.9465 | − | 1.39602i | −0.0324960 | − | 0.00162328i | ||||
\(861\) | − | 758.450i | − | 0.880895i | ||||||
\(862\) | −764.848 | + | 727.595i | −0.887295 | + | 0.844078i | ||||
\(863\) | 192.945 | 0.223575 | 0.111787 | − | 0.993732i | \(-0.464342\pi\) | ||||
0.111787 | + | 0.993732i | \(0.464342\pi\) | |||||||
\(864\) | −131.294 | + | 102.028i | −0.151961 | + | 0.118088i | ||||
\(865\) | − | 27.7171i | − | 0.0320429i | ||||||
\(866\) | 529.399 | + | 556.504i | 0.611315 | + | 0.642614i | ||||
\(867\) | 470.556i | 0.542741i | ||||||||
\(868\) | −133.093 | − | 6.64845i | −0.153333 | − | 0.00765951i | ||||
\(869\) | 339.200 | + | 839.106i | 0.390334 | + | 0.965600i | ||||
\(870\) | 93.1850 | + | 97.9561i | 0.107109 | + | 0.112593i | ||||
\(871\) | − | 293.635i | − | 0.337123i | ||||||
\(872\) | −300.793 | + | 258.817i | −0.344946 | + | 0.296809i | ||||
\(873\) | −222.641 | −0.255030 | ||||||||
\(874\) | −931.024 | − | 978.692i | −1.06524 | − | 1.11979i | ||||
\(875\) | 277.077 | 0.316659 | ||||||||
\(876\) | 12.8398 | − | 257.036i | 0.0146573 | − | 0.293420i | ||||
\(877\) | 670.426 | 0.764454 | 0.382227 | − | 0.924068i | \(-0.375157\pi\) | ||||
0.382227 | + | 0.924068i | \(0.375157\pi\) | |||||||
\(878\) | 844.542 | − | 803.408i | 0.961893 | − | 0.915043i | ||||
\(879\) | 353.677i | 0.402363i | ||||||||
\(880\) | 40.2850 | + | 137.844i | 0.0457785 | + | 0.156641i | ||||
\(881\) | −552.563 | −0.627199 | −0.313600 | − | 0.949555i | \(-0.601535\pi\) | ||||
−0.313600 | + | 0.949555i | \(0.601535\pi\) | |||||||
\(882\) | 6.71610 | + | 7.05997i | 0.00761463 | + | 0.00800450i | ||||
\(883\) | − | 74.8171i | − | 0.0847306i | −0.999102 | − | 0.0423653i | \(-0.986511\pi\) | ||
0.999102 | − | 0.0423653i | \(-0.0134893\pi\) | |||||||
\(884\) | 629.678 | + | 31.4545i | 0.712305 | + | 0.0355820i | ||||
\(885\) | − | 132.220i | − | 0.149402i | ||||||
\(886\) | 344.865 | − | 328.068i | 0.389239 | − | 0.370280i | ||||
\(887\) | 1238.50i | 1.39628i | 0.715963 | + | 0.698138i | \(0.245988\pi\) | ||||
−0.715963 | + | 0.698138i | \(0.754012\pi\) | |||||||
\(888\) | 425.343 | − | 365.987i | 0.478989 | − | 0.412147i | ||||
\(889\) | −826.972 | −0.930228 | ||||||||
\(890\) | 201.926 | − | 192.091i | 0.226883 | − | 0.215832i | ||||
\(891\) | −91.7844 | + | 37.1029i | −0.103013 | + | 0.0416419i | ||||
\(892\) | 30.9404 | − | 619.387i | 0.0346866 | − | 0.694381i | ||||
\(893\) | 232.162 | 0.259980 | ||||||||
\(894\) | −649.224 | + | 617.602i | −0.726201 | + | 0.690831i | ||||
\(895\) | −180.096 | −0.201224 | ||||||||
\(896\) | 505.222 | + | 721.775i | 0.563864 | + | 0.805552i | ||||
\(897\) | 476.659i | 0.531392i | ||||||||
\(898\) | 836.231 | + | 879.046i | 0.931215 | + | 0.978893i | ||||
\(899\) | 231.510 | 0.257520 | ||||||||
\(900\) | 14.5687 | − | 291.647i | 0.0161875 | − | 0.324052i | ||||
\(901\) | −2235.19 | −2.48079 | ||||||||
\(902\) | −578.620 | + | 1274.42i | −0.641485 | + | 1.41288i | ||||
\(903\) | −102.206 | −0.113185 | ||||||||
\(904\) | −890.171 | + | 765.949i | −0.984702 | + | 0.847289i | ||||
\(905\) | −44.0047 | −0.0486240 | ||||||||
\(906\) | −291.265 | − | 306.178i | −0.321485 | − | 0.337945i | ||||
\(907\) | − | 794.339i | − | 0.875787i | −0.899027 | − | 0.437894i | \(-0.855725\pi\) | ||
0.899027 | − | 0.437894i | \(-0.144275\pi\) | |||||||
\(908\) | 17.4249 | − | 348.823i | 0.0191904 | − | 0.384166i | ||||
\(909\) | −8.92238 | −0.00981560 | ||||||||
\(910\) | −51.5344 | − | 54.1730i | −0.0566312 | − | 0.0595307i | ||||
\(911\) | 1105.49 | 1.21350 | 0.606748 | − | 0.794895i | \(-0.292474\pi\) | ||||
0.606748 | + | 0.794895i | \(0.292474\pi\) | |||||||
\(912\) | 45.1178 | − | 450.473i | 0.0494713 | − | 0.493940i | ||||
\(913\) | −261.933 | + | 105.884i | −0.286893 | + | 0.115974i | ||||
\(914\) | −614.422 | + | 584.496i | −0.672234 | + | 0.639492i | ||||
\(915\) | −113.045 | −0.123547 | ||||||||
\(916\) | 87.7086 | + | 4.38133i | 0.0957517 | + | 0.00478311i | ||||
\(917\) | − | 461.721i | − | 0.503513i | ||||||
\(918\) | −169.605 | − | 178.289i | −0.184755 | − | 0.194215i | ||||
\(919\) | 1507.12i | 1.63996i | 0.572393 | + | 0.819979i | \(0.306015\pi\) | ||||
−0.572393 | + | 0.819979i | \(0.693985\pi\) | |||||||
\(920\) | −176.024 | − | 204.571i | −0.191330 | − | 0.222360i | ||||
\(921\) | 143.455i | 0.155760i | ||||||||
\(922\) | −456.299 | − | 479.661i | −0.494901 | − | 0.520240i | ||||
\(923\) | −347.918 | −0.376942 | ||||||||
\(924\) | 172.084 | + | 495.527i | 0.186238 | + | 0.536285i | ||||
\(925\) | 985.433i | 1.06533i | ||||||||
\(926\) | 251.383 | + | 264.254i | 0.271472 | + | 0.285371i | ||||
\(927\) | −267.790 | −0.288878 | ||||||||
\(928\) | −939.183 | − | 1208.58i | −1.01205 | − | 1.30235i | ||||
\(929\) | −498.268 | −0.536349 | −0.268174 | − | 0.963370i | \(-0.586420\pi\) | ||||
−0.268174 | + | 0.963370i | \(0.586420\pi\) | |||||||
\(930\) | 9.42961 | + | 9.91240i | 0.0101394 | + | 0.0106585i | ||||
\(931\) | −26.5308 | −0.0284971 | ||||||||
\(932\) | −1017.45 | − | 50.8250i | −1.09168 | − | 0.0545332i | ||||
\(933\) | 556.894i | 0.596885i | ||||||||
\(934\) | −1101.12 | + | 1047.49i | −1.17893 | + | 1.12151i | ||||
\(935\) | −197.040 | + | 79.6515i | −0.210738 | + | 0.0851887i | ||||
\(936\) | −121.097 | + | 104.198i | −0.129377 | + | 0.111323i | ||||
\(937\) | − | 672.565i | − | 0.717786i | −0.933379 | − | 0.358893i | \(-0.883154\pi\) | ||
0.933379 | − | 0.358893i | \(-0.116846\pi\) | |||||||
\(938\) | 418.547 | + | 439.977i | 0.446212 | + | 0.469058i | ||||
\(939\) | 851.760i | 0.907092i | ||||||||
\(940\) | 46.3262 | + | 2.31415i | 0.0492832 | + | 0.00246186i | ||||
\(941\) | −1810.66 | −1.92419 | −0.962093 | − | 0.272720i | \(-0.912077\pi\) | ||||
−0.962093 | + | 0.272720i | \(0.912077\pi\) | |||||||
\(942\) | −279.740 | − | 294.063i | −0.296964 | − | 0.312169i | ||||
\(943\) | − | 2630.21i | − | 2.78920i | ||||||
\(944\) | −149.175 | + | 1489.42i | −0.158025 | + | 1.57778i | ||||
\(945\) | 29.1832i | 0.0308817i | ||||||||
\(946\) | 171.736 | + | 77.9727i | 0.181539 | + | 0.0824235i | ||||
\(947\) | 653.407i | 0.689976i | 0.938607 | + | 0.344988i | \(0.112117\pi\) | ||||
−0.938607 | + | 0.344988i | \(0.887883\pi\) | |||||||
\(948\) | 28.4403 | − | 569.338i | 0.0300003 | − | 0.600567i | ||||
\(949\) | − | 247.262i | − | 0.260551i | ||||||
\(950\) | 547.992 | + | 576.050i | 0.576834 | + | 0.606368i | ||||
\(951\) | −498.398 | −0.524078 | ||||||||
\(952\) | −988.333 | + | 850.413i | −1.03817 | + | 0.893291i | ||||
\(953\) | 4.99815i | 0.00524465i | 0.999997 | + | 0.00262232i | \(0.000834713\pi\) | ||||
−0.999997 | + | 0.00262232i | \(0.999165\pi\) | |||||||
\(954\) | 410.362 | − | 390.375i | 0.430149 | − | 0.409198i | ||||
\(955\) | − | 43.2500i | − | 0.0452880i | ||||||
\(956\) | 241.414 | + | 12.0594i | 0.252526 | + | 0.0126145i | ||||
\(957\) | −341.536 | − | 844.886i | −0.356882 | − | 0.882849i | ||||
\(958\) | −893.974 | + | 850.432i | −0.933167 | + | 0.887716i | ||||
\(959\) | − | 588.207i | − | 0.613355i | ||||||
\(960\) | 13.4932 | − | 89.4389i | 0.0140554 | − | 0.0931655i | ||||
\(961\) | −937.573 | −0.975622 | ||||||||
\(962\) | 390.608 | − | 371.583i | 0.406037 | − | 0.386260i | ||||
\(963\) | 103.622 | 0.107603 | ||||||||
\(964\) | 1566.60 | + | 78.2570i | 1.62511 | + | 0.0811794i | ||||
\(965\) | 89.7390 | 0.0929938 | ||||||||
\(966\) | −679.430 | − | 714.217i | −0.703344 | − | 0.739355i | ||||
\(967\) | 91.3832i | 0.0945017i | 0.998883 | + | 0.0472509i | \(0.0150460\pi\) | ||||
−0.998883 | + | 0.0472509i | \(0.984954\pi\) | |||||||
\(968\) | 88.8862 | − | 963.910i | 0.0918246 | − | 0.995775i | ||||
\(969\) | 669.996 | 0.691430 | ||||||||
\(970\) | 87.7495 | − | 83.4755i | 0.0904634 | − | 0.0860572i | ||||
\(971\) | 1134.90i | 1.16879i | 0.811469 | + | 0.584396i | \(0.198668\pi\) | ||||
−0.811469 | + | 0.584396i | \(0.801332\pi\) | |||||||
\(972\) | 62.2762 | + | 3.11090i | 0.0640701 | + | 0.00320051i | ||||
\(973\) | − | 419.849i | − | 0.431499i | ||||||
\(974\) | 961.048 | + | 1010.25i | 0.986702 | + | 1.03722i | ||||
\(975\) | − | 280.557i | − | 0.287751i | ||||||
\(976\) | 1273.42 | + | 127.541i | 1.30473 | + | 0.130678i | ||||
\(977\) | 371.469 | 0.380213 | 0.190107 | − | 0.981763i | \(-0.439117\pi\) | ||||
0.190107 | + | 0.981763i | \(0.439117\pi\) | |||||||
\(978\) | 551.333 | + | 579.562i | 0.563736 | + | 0.592599i | ||||
\(979\) | −1741.64 | + | 704.041i | −1.77900 | + | 0.719143i | ||||
\(980\) | −5.29402 | − | 0.264454i | −0.00540206 | − | 0.000269851i | ||||
\(981\) | 148.806 | 0.151688 | ||||||||
\(982\) | 476.591 | + | 500.993i | 0.485327 | + | 0.510176i | ||||
\(983\) | 1715.54 | 1.74521 | 0.872603 | − | 0.488430i | \(-0.162430\pi\) | ||||
0.872603 | + | 0.488430i | \(0.162430\pi\) | |||||||
\(984\) | 668.215 | − | 574.967i | 0.679081 | − | 0.584316i | ||||
\(985\) | 24.9856i | 0.0253661i | ||||||||
\(986\) | 1641.17 | − | 1561.24i | 1.66448 | − | 1.58340i | ||||
\(987\) | 169.424 | 0.171655 | ||||||||
\(988\) | 21.7011 | − | 434.428i | 0.0219647 | − | 0.439705i | ||||
\(989\) | −354.438 | −0.358380 | ||||||||
\(990\) | 22.2638 | − | 49.0363i | 0.0224887 | − | 0.0495316i | ||||
\(991\) | 1198.59 | 1.20948 | 0.604738 | − | 0.796424i | \(-0.293278\pi\) | ||||
0.604738 | + | 0.796424i | \(0.293278\pi\) | |||||||
\(992\) | −95.0381 | − | 122.299i | −0.0958046 | − | 0.123285i | ||||
\(993\) | −513.356 | −0.516975 | ||||||||
\(994\) | 521.313 | − | 495.922i | 0.524460 | − | 0.498916i | ||||
\(995\) | 114.605i | 0.115181i | ||||||||
\(996\) | 177.723 | + | 8.87786i | 0.178437 | + | 0.00891351i | ||||
\(997\) | 166.678 | 0.167179 | 0.0835897 | − | 0.996500i | \(-0.473362\pi\) | ||||
0.0835897 | + | 0.996500i | \(0.473362\pi\) | |||||||
\(998\) | 796.577 | − | 757.779i | 0.798174 | − | 0.759298i | ||||
\(999\) | −210.422 | −0.210633 |
(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 | 264.3.e.a.109.11 | ✓ | 48 | |
4.3 | odd | 2 | 1056.3.e.a.241.38 | 48 | |||
8.3 | odd | 2 | 1056.3.e.a.241.12 | 48 | |||
8.5 | even | 2 | inner | 264.3.e.a.109.37 | yes | 48 | |
11.10 | odd | 2 | inner | 264.3.e.a.109.38 | yes | 48 | |
44.43 | even | 2 | 1056.3.e.a.241.37 | 48 | |||
88.21 | odd | 2 | inner | 264.3.e.a.109.12 | yes | 48 | |
88.43 | even | 2 | 1056.3.e.a.241.11 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
264.3.e.a.109.11 | ✓ | 48 | 1.1 | even | 1 | trivial | |
264.3.e.a.109.12 | yes | 48 | 88.21 | odd | 2 | inner | |
264.3.e.a.109.37 | yes | 48 | 8.5 | even | 2 | inner | |
264.3.e.a.109.38 | yes | 48 | 11.10 | odd | 2 | inner | |
1056.3.e.a.241.11 | 48 | 88.43 | even | 2 | |||
1056.3.e.a.241.12 | 48 | 8.3 | odd | 2 | |||
1056.3.e.a.241.37 | 48 | 44.43 | even | 2 | |||
1056.3.e.a.241.38 | 48 | 4.3 | odd | 2 |