Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,2,Mod(50,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.50");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.f (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.29170653801\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 155.9 | ||
Character | \(\chi\) | \(=\) | 287.155 |
Dual form | 287.2.f.a.50.12 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 0.710667i | − | 0.502517i | −0.967920 | − | 0.251259i | \(-0.919156\pi\) | ||
0.967920 | − | 0.251259i | \(-0.0808445\pi\) | |||||||
\(3\) | 0.708215 | − | 0.708215i | 0.408888 | − | 0.408888i | −0.472463 | − | 0.881351i | \(-0.656635\pi\) |
0.881351 | + | 0.472463i | \(0.156635\pi\) | |||||||
\(4\) | 1.49495 | 0.747476 | ||||||||
\(5\) | − | 3.05444i | − | 1.36599i | −0.730424 | − | 0.682994i | \(-0.760677\pi\) | ||
0.730424 | − | 0.682994i | \(-0.239323\pi\) | |||||||
\(6\) | −0.503305 | − | 0.503305i | −0.205473 | − | 0.205473i | ||||
\(7\) | 0.707107 | − | 0.707107i | 0.267261 | − | 0.267261i | ||||
\(8\) | − | 2.48375i | − | 0.878137i | ||||||
\(9\) | 1.99686i | 0.665621i | ||||||||
\(10\) | −2.17069 | −0.686433 | ||||||||
\(11\) | −0.816593 | + | 0.816593i | −0.246212 | + | 0.246212i | −0.819414 | − | 0.573202i | \(-0.805701\pi\) |
0.573202 | + | 0.819414i | \(0.305701\pi\) | |||||||
\(12\) | 1.05875 | − | 1.05875i | 0.305634 | − | 0.305634i | ||||
\(13\) | −4.51582 | + | 4.51582i | −1.25246 | + | 1.25246i | −0.297849 | + | 0.954613i | \(0.596269\pi\) |
−0.954613 | + | 0.297849i | \(0.903731\pi\) | |||||||
\(14\) | −0.502517 | − | 0.502517i | −0.134303 | − | 0.134303i | ||||
\(15\) | −2.16320 | − | 2.16320i | −0.558536 | − | 0.558536i | ||||
\(16\) | 1.22479 | 0.306198 | ||||||||
\(17\) | 0.540691 | + | 0.540691i | 0.131137 | + | 0.131137i | 0.769629 | − | 0.638492i | \(-0.220441\pi\) |
−0.638492 | + | 0.769629i | \(0.720441\pi\) | |||||||
\(18\) | 1.41910 | 0.334486 | ||||||||
\(19\) | −0.910890 | − | 0.910890i | −0.208973 | − | 0.208973i | 0.594858 | − | 0.803831i | \(-0.297208\pi\) |
−0.803831 | + | 0.594858i | \(0.797208\pi\) | |||||||
\(20\) | − | 4.56625i | − | 1.02104i | ||||||
\(21\) | − | 1.00157i | − | 0.218560i | ||||||
\(22\) | 0.580326 | + | 0.580326i | 0.123726 | + | 0.123726i | ||||
\(23\) | 7.35877 | 1.53441 | 0.767204 | − | 0.641403i | \(-0.221647\pi\) | ||||
0.767204 | + | 0.641403i | \(0.221647\pi\) | |||||||
\(24\) | −1.75903 | − | 1.75903i | −0.359060 | − | 0.359060i | ||||
\(25\) | −4.32962 | −0.865924 | ||||||||
\(26\) | 3.20924 | + | 3.20924i | 0.629384 | + | 0.629384i | ||||
\(27\) | 3.53885 | + | 3.53885i | 0.681052 | + | 0.681052i | ||||
\(28\) | 1.05709 | − | 1.05709i | 0.199771 | − | 0.199771i | ||||
\(29\) | −0.167843 | + | 0.167843i | −0.0311677 | + | 0.0311677i | −0.722519 | − | 0.691351i | \(-0.757016\pi\) |
0.691351 | + | 0.722519i | \(0.257016\pi\) | |||||||
\(30\) | −1.53731 | + | 1.53731i | −0.280674 | + | 0.280674i | ||||
\(31\) | −7.78826 | −1.39881 | −0.699406 | − | 0.714724i | \(-0.746552\pi\) | ||||
−0.699406 | + | 0.714724i | \(0.746552\pi\) | |||||||
\(32\) | − | 5.83791i | − | 1.03201i | ||||||
\(33\) | 1.15665i | 0.201346i | ||||||||
\(34\) | 0.384251 | − | 0.384251i | 0.0658985 | − | 0.0658985i | ||||
\(35\) | −2.15982 | − | 2.15982i | −0.365076 | − | 0.365076i | ||||
\(36\) | 2.98522i | 0.497536i | ||||||||
\(37\) | 4.77359 | 0.784773 | 0.392386 | − | 0.919801i | \(-0.371650\pi\) | ||||
0.392386 | + | 0.919801i | \(0.371650\pi\) | |||||||
\(38\) | −0.647339 | + | 0.647339i | −0.105012 | + | 0.105012i | ||||
\(39\) | 6.39633i | 1.02423i | ||||||||
\(40\) | −7.58646 | −1.19952 | ||||||||
\(41\) | 2.89389 | − | 5.71187i | 0.451949 | − | 0.892044i | ||||
\(42\) | −0.711780 | −0.109830 | ||||||||
\(43\) | 3.37868i | 0.515243i | 0.966246 | + | 0.257622i | \(0.0829388\pi\) | ||||
−0.966246 | + | 0.257622i | \(0.917061\pi\) | |||||||
\(44\) | −1.22077 | + | 1.22077i | −0.184038 | + | 0.184038i | ||||
\(45\) | 6.09931 | 0.909231 | ||||||||
\(46\) | − | 5.22963i | − | 0.771067i | ||||||
\(47\) | 0.556419 | + | 0.556419i | 0.0811621 | + | 0.0811621i | 0.746522 | − | 0.665360i | \(-0.231722\pi\) |
−0.665360 | + | 0.746522i | \(0.731722\pi\) | |||||||
\(48\) | 0.867414 | − | 0.867414i | 0.125200 | − | 0.125200i | ||||
\(49\) | − | 1.00000i | − | 0.142857i | ||||||
\(50\) | 3.07692i | 0.435142i | ||||||||
\(51\) | 0.765850 | 0.107241 | ||||||||
\(52\) | −6.75093 | + | 6.75093i | −0.936186 | + | 0.936186i | ||||
\(53\) | −3.52167 | + | 3.52167i | −0.483739 | + | 0.483739i | −0.906323 | − | 0.422585i | \(-0.861123\pi\) |
0.422585 | + | 0.906323i | \(0.361123\pi\) | |||||||
\(54\) | 2.51494 | − | 2.51494i | 0.342241 | − | 0.342241i | ||||
\(55\) | 2.49424 | + | 2.49424i | 0.336323 | + | 0.336323i | ||||
\(56\) | −1.75627 | − | 1.75627i | −0.234692 | − | 0.234692i | ||||
\(57\) | −1.29021 | −0.170893 | ||||||||
\(58\) | 0.119281 | + | 0.119281i | 0.0156623 | + | 0.0156623i | ||||
\(59\) | 1.06581 | 0.138757 | 0.0693785 | − | 0.997590i | \(-0.477898\pi\) | ||||
0.0693785 | + | 0.997590i | \(0.477898\pi\) | |||||||
\(60\) | −3.23388 | − | 3.23388i | −0.417493 | − | 0.417493i | ||||
\(61\) | − | 2.75192i | − | 0.352348i | −0.984359 | − | 0.176174i | \(-0.943628\pi\) | ||
0.984359 | − | 0.176174i | \(-0.0563721\pi\) | |||||||
\(62\) | 5.53486i | 0.702927i | ||||||||
\(63\) | 1.41200 | + | 1.41200i | 0.177895 | + | 0.177895i | ||||
\(64\) | −1.69923 | −0.212403 | ||||||||
\(65\) | 13.7933 | + | 13.7933i | 1.71085 | + | 1.71085i | ||||
\(66\) | 0.821990 | 0.101180 | ||||||||
\(67\) | 4.63995 | + | 4.63995i | 0.566860 | + | 0.566860i | 0.931247 | − | 0.364388i | \(-0.118722\pi\) |
−0.364388 | + | 0.931247i | \(0.618722\pi\) | |||||||
\(68\) | 0.808307 | + | 0.808307i | 0.0980217 | + | 0.0980217i | ||||
\(69\) | 5.21159 | − | 5.21159i | 0.627401 | − | 0.627401i | ||||
\(70\) | −1.53491 | + | 1.53491i | −0.183457 | + | 0.183457i | ||||
\(71\) | −9.33534 | + | 9.33534i | −1.10790 | + | 1.10790i | −0.114475 | + | 0.993426i | \(0.536519\pi\) |
−0.993426 | + | 0.114475i | \(0.963481\pi\) | |||||||
\(72\) | 4.95970 | 0.584507 | ||||||||
\(73\) | 3.22817i | 0.377829i | 0.981994 | + | 0.188915i | \(0.0604969\pi\) | ||||
−0.981994 | + | 0.188915i | \(0.939503\pi\) | |||||||
\(74\) | − | 3.39243i | − | 0.394362i | ||||||
\(75\) | −3.06630 | + | 3.06630i | −0.354066 | + | 0.354066i | ||||
\(76\) | −1.36174 | − | 1.36174i | −0.156202 | − | 0.156202i | ||||
\(77\) | 1.15484i | 0.131606i | ||||||||
\(78\) | 4.54566 | 0.514695 | ||||||||
\(79\) | −6.84941 | + | 6.84941i | −0.770619 | + | 0.770619i | −0.978215 | − | 0.207596i | \(-0.933436\pi\) |
0.207596 | + | 0.978215i | \(0.433436\pi\) | |||||||
\(80\) | − | 3.74105i | − | 0.418262i | ||||||
\(81\) | −0.978058 | −0.108673 | ||||||||
\(82\) | −4.05923 | − | 2.05659i | −0.448267 | − | 0.227112i | ||||
\(83\) | 4.02107 | 0.441370 | 0.220685 | − | 0.975345i | \(-0.429171\pi\) | ||||
0.220685 | + | 0.975345i | \(0.429171\pi\) | |||||||
\(84\) | − | 1.49730i | − | 0.163368i | ||||||
\(85\) | 1.65151 | − | 1.65151i | 0.179131 | − | 0.179131i | ||||
\(86\) | 2.40111 | 0.258919 | ||||||||
\(87\) | 0.237738i | 0.0254882i | ||||||||
\(88\) | 2.02821 | + | 2.02821i | 0.216208 | + | 0.216208i | ||||
\(89\) | 4.95019 | − | 4.95019i | 0.524719 | − | 0.524719i | −0.394274 | − | 0.918993i | \(-0.629004\pi\) |
0.918993 | + | 0.394274i | \(0.129004\pi\) | |||||||
\(90\) | − | 4.33457i | − | 0.456904i | ||||||
\(91\) | 6.38633i | 0.669469i | ||||||||
\(92\) | 11.0010 | 1.14693 | ||||||||
\(93\) | −5.51576 | + | 5.51576i | −0.571958 | + | 0.571958i | ||||
\(94\) | 0.395429 | − | 0.395429i | 0.0407853 | − | 0.0407853i | ||||
\(95\) | −2.78226 | + | 2.78226i | −0.285454 | + | 0.285454i | ||||
\(96\) | −4.13449 | − | 4.13449i | −0.421975 | − | 0.421975i | ||||
\(97\) | 11.3870 | + | 11.3870i | 1.15618 | + | 1.15618i | 0.985291 | + | 0.170886i | \(0.0546629\pi\) |
0.170886 | + | 0.985291i | \(0.445337\pi\) | |||||||
\(98\) | −0.710667 | −0.0717882 | ||||||||
\(99\) | −1.63063 | − | 1.63063i | −0.163884 | − | 0.163884i | ||||
\(100\) | −6.47258 | −0.647258 | ||||||||
\(101\) | −13.4403 | − | 13.4403i | −1.33736 | − | 1.33736i | −0.898609 | − | 0.438750i | \(-0.855421\pi\) |
−0.438750 | − | 0.898609i | \(-0.644579\pi\) | |||||||
\(102\) | − | 0.544264i | − | 0.0538902i | ||||||
\(103\) | − | 11.0541i | − | 1.08920i | −0.838697 | − | 0.544598i | \(-0.816682\pi\) | ||
0.838697 | − | 0.544598i | \(-0.183318\pi\) | |||||||
\(104\) | 11.2161 | + | 11.2161i | 1.09983 | + | 1.09983i | ||||
\(105\) | −3.05923 | −0.298550 | ||||||||
\(106\) | 2.50273 | + | 2.50273i | 0.243087 | + | 0.243087i | ||||
\(107\) | −4.69841 | −0.454212 | −0.227106 | − | 0.973870i | \(-0.572926\pi\) | ||||
−0.227106 | + | 0.973870i | \(0.572926\pi\) | |||||||
\(108\) | 5.29042 | + | 5.29042i | 0.509071 | + | 0.509071i | ||||
\(109\) | −10.8294 | − | 10.8294i | −1.03727 | − | 1.03727i | −0.999278 | − | 0.0379922i | \(-0.987904\pi\) |
−0.0379922 | − | 0.999278i | \(-0.512096\pi\) | |||||||
\(110\) | 1.77257 | − | 1.77257i | 0.169008 | − | 0.169008i | ||||
\(111\) | 3.38072 | − | 3.38072i | 0.320884 | − | 0.320884i | ||||
\(112\) | 0.866057 | − | 0.866057i | 0.0818347 | − | 0.0818347i | ||||
\(113\) | −0.331874 | −0.0312201 | −0.0156101 | − | 0.999878i | \(-0.504969\pi\) | ||||
−0.0156101 | + | 0.999878i | \(0.504969\pi\) | |||||||
\(114\) | 0.916910i | 0.0858765i | ||||||||
\(115\) | − | 22.4769i | − | 2.09598i | ||||||
\(116\) | −0.250918 | + | 0.250918i | −0.0232971 | + | 0.0232971i | ||||
\(117\) | −9.01747 | − | 9.01747i | −0.833665 | − | 0.833665i | ||||
\(118\) | − | 0.757437i | − | 0.0697277i | ||||||
\(119\) | 0.764652 | 0.0700956 | ||||||||
\(120\) | −5.37284 | + | 5.37284i | −0.490471 | + | 0.490471i | ||||
\(121\) | 9.66635i | 0.878759i | ||||||||
\(122\) | −1.95570 | −0.177061 | ||||||||
\(123\) | −1.99573 | − | 6.09472i | −0.179949 | − | 0.549542i | ||||
\(124\) | −11.6431 | −1.04558 | ||||||||
\(125\) | − | 2.04764i | − | 0.183146i | ||||||
\(126\) | 1.00346 | − | 1.00346i | 0.0893952 | − | 0.0893952i | ||||
\(127\) | 2.18926 | 0.194266 | 0.0971328 | − | 0.995271i | \(-0.469033\pi\) | ||||
0.0971328 | + | 0.995271i | \(0.469033\pi\) | |||||||
\(128\) | − | 10.4682i | − | 0.925270i | ||||||
\(129\) | 2.39283 | + | 2.39283i | 0.210677 | + | 0.210677i | ||||
\(130\) | 9.80244 | − | 9.80244i | 0.859731 | − | 0.859731i | ||||
\(131\) | 21.4230i | 1.87173i | 0.352355 | + | 0.935866i | \(0.385381\pi\) | ||||
−0.352355 | + | 0.935866i | \(0.614619\pi\) | |||||||
\(132\) | 1.72913i | 0.150502i | ||||||||
\(133\) | −1.28819 | −0.111701 | ||||||||
\(134\) | 3.29745 | − | 3.29745i | 0.284857 | − | 0.284857i | ||||
\(135\) | 10.8092 | − | 10.8092i | 0.930310 | − | 0.930310i | ||||
\(136\) | 1.34294 | − | 1.34294i | 0.115156 | − | 0.115156i | ||||
\(137\) | −11.4219 | − | 11.4219i | −0.975836 | − | 0.975836i | 0.0238786 | − | 0.999715i | \(-0.492398\pi\) |
−0.999715 | + | 0.0238786i | \(0.992398\pi\) | |||||||
\(138\) | −3.70370 | − | 3.70370i | −0.315280 | − | 0.315280i | ||||
\(139\) | −16.5423 | −1.40310 | −0.701550 | − | 0.712620i | \(-0.747508\pi\) | ||||
−0.701550 | + | 0.712620i | \(0.747508\pi\) | |||||||
\(140\) | −3.22883 | − | 3.22883i | −0.272886 | − | 0.272886i | ||||
\(141\) | 0.788129 | 0.0663724 | ||||||||
\(142\) | 6.63432 | + | 6.63432i | 0.556740 | + | 0.556740i | ||||
\(143\) | − | 7.37517i | − | 0.616743i | ||||||
\(144\) | 2.44574i | 0.203812i | ||||||||
\(145\) | 0.512668 | + | 0.512668i | 0.0425747 | + | 0.0425747i | ||||
\(146\) | 2.29416 | 0.189866 | ||||||||
\(147\) | −0.708215 | − | 0.708215i | −0.0584126 | − | 0.0584126i | ||||
\(148\) | 7.13628 | 0.586599 | ||||||||
\(149\) | −7.76248 | − | 7.76248i | −0.635927 | − | 0.635927i | 0.313621 | − | 0.949548i | \(-0.398458\pi\) |
−0.949548 | + | 0.313621i | \(0.898458\pi\) | |||||||
\(150\) | 2.17912 | + | 2.17912i | 0.177924 | + | 0.177924i | ||||
\(151\) | 5.18758 | − | 5.18758i | 0.422159 | − | 0.422159i | −0.463787 | − | 0.885946i | \(-0.653510\pi\) |
0.885946 | + | 0.463787i | \(0.153510\pi\) | |||||||
\(152\) | −2.26242 | + | 2.26242i | −0.183506 | + | 0.183506i | ||||
\(153\) | −1.07969 | + | 1.07969i | −0.0872875 | + | 0.0872875i | ||||
\(154\) | 0.820704 | 0.0661342 | ||||||||
\(155\) | 23.7888i | 1.91076i | ||||||||
\(156\) | 9.56222i | 0.765590i | ||||||||
\(157\) | −0.585935 | + | 0.585935i | −0.0467627 | + | 0.0467627i | −0.730101 | − | 0.683339i | \(-0.760527\pi\) |
0.683339 | + | 0.730101i | \(0.260527\pi\) | |||||||
\(158\) | 4.86765 | + | 4.86765i | 0.387249 | + | 0.387249i | ||||
\(159\) | 4.98820i | 0.395590i | ||||||||
\(160\) | −17.8316 | −1.40971 | ||||||||
\(161\) | 5.20343 | − | 5.20343i | 0.410088 | − | 0.410088i | ||||
\(162\) | 0.695073i | 0.0546101i | ||||||||
\(163\) | 19.1917 | 1.50321 | 0.751605 | − | 0.659613i | \(-0.229280\pi\) | ||||
0.751605 | + | 0.659613i | \(0.229280\pi\) | |||||||
\(164\) | 4.32622 | − | 8.53897i | 0.337821 | − | 0.666782i | ||||
\(165\) | 3.53291 | 0.275037 | ||||||||
\(166\) | − | 2.85764i | − | 0.221796i | ||||||
\(167\) | −5.47253 | + | 5.47253i | −0.423477 | + | 0.423477i | −0.886399 | − | 0.462922i | \(-0.846801\pi\) |
0.462922 | + | 0.886399i | \(0.346801\pi\) | |||||||
\(168\) | −2.48764 | −0.191925 | ||||||||
\(169\) | − | 27.7852i | − | 2.13732i | ||||||
\(170\) | −1.17367 | − | 1.17367i | −0.0900166 | − | 0.0900166i | ||||
\(171\) | 1.81892 | − | 1.81892i | 0.139097 | − | 0.139097i | ||||
\(172\) | 5.05096i | 0.385132i | ||||||||
\(173\) | − | 5.64590i | − | 0.429250i | −0.976697 | − | 0.214625i | \(-0.931147\pi\) | ||
0.976697 | − | 0.214625i | \(-0.0688529\pi\) | |||||||
\(174\) | 0.168953 | 0.0128083 | ||||||||
\(175\) | −3.06150 | + | 3.06150i | −0.231428 | + | 0.231428i | ||||
\(176\) | −1.00016 | + | 1.00016i | −0.0753895 | + | 0.0753895i | ||||
\(177\) | 0.754824 | − | 0.754824i | 0.0567360 | − | 0.0567360i | ||||
\(178\) | −3.51793 | − | 3.51793i | −0.263680 | − | 0.263680i | ||||
\(179\) | −3.70668 | − | 3.70668i | −0.277050 | − | 0.277050i | 0.554880 | − | 0.831930i | \(-0.312764\pi\) |
−0.831930 | + | 0.554880i | \(0.812764\pi\) | |||||||
\(180\) | 9.11818 | 0.679629 | ||||||||
\(181\) | 0.939298 | + | 0.939298i | 0.0698175 | + | 0.0698175i | 0.741153 | − | 0.671336i | \(-0.234279\pi\) |
−0.671336 | + | 0.741153i | \(0.734279\pi\) | |||||||
\(182\) | 4.53855 | 0.336420 | ||||||||
\(183\) | −1.94895 | − | 1.94895i | −0.144071 | − | 0.144071i | ||||
\(184\) | − | 18.2773i | − | 1.34742i | ||||||
\(185\) | − | 14.5806i | − | 1.07199i | ||||||
\(186\) | 3.91987 | + | 3.91987i | 0.287419 | + | 0.287419i | ||||
\(187\) | −0.883049 | −0.0645749 | ||||||||
\(188\) | 0.831821 | + | 0.831821i | 0.0606668 | + | 0.0606668i | ||||
\(189\) | 5.00469 | 0.364038 | ||||||||
\(190\) | 1.97726 | + | 1.97726i | 0.143446 | + | 0.143446i | ||||
\(191\) | 13.8897 | + | 13.8897i | 1.00502 | + | 1.00502i | 0.999987 | + | 0.00503754i | \(0.00160351\pi\) |
0.00503754 | + | 0.999987i | \(0.498396\pi\) | |||||||
\(192\) | −1.20342 | + | 1.20342i | −0.0868492 | + | 0.0868492i | ||||
\(193\) | −10.3453 | + | 10.3453i | −0.744668 | + | 0.744668i | −0.973472 | − | 0.228805i | \(-0.926518\pi\) |
0.228805 | + | 0.973472i | \(0.426518\pi\) | |||||||
\(194\) | 8.09237 | − | 8.09237i | 0.580999 | − | 0.580999i | ||||
\(195\) | 19.5372 | 1.39909 | ||||||||
\(196\) | − | 1.49495i | − | 0.106782i | ||||||
\(197\) | − | 21.4752i | − | 1.53005i | −0.644003 | − | 0.765023i | \(-0.722728\pi\) | ||
0.644003 | − | 0.765023i | \(-0.277272\pi\) | |||||||
\(198\) | −1.15883 | + | 1.15883i | −0.0823545 | + | 0.0823545i | ||||
\(199\) | 7.57207 | + | 7.57207i | 0.536770 | + | 0.536770i | 0.922579 | − | 0.385809i | \(-0.126078\pi\) |
−0.385809 | + | 0.922579i | \(0.626078\pi\) | |||||||
\(200\) | 10.7537i | 0.760400i | ||||||||
\(201\) | 6.57216 | 0.463564 | ||||||||
\(202\) | −9.55157 | + | 9.55157i | −0.672046 | + | 0.672046i | ||||
\(203\) | 0.237366i | 0.0166598i | ||||||||
\(204\) | 1.14491 | 0.0801598 | ||||||||
\(205\) | −17.4466 | − | 8.83921i | −1.21852 | − | 0.617357i | ||||
\(206\) | −7.85581 | −0.547340 | ||||||||
\(207\) | 14.6945i | 1.02134i | ||||||||
\(208\) | −5.53093 | + | 5.53093i | −0.383501 | + | 0.383501i | ||||
\(209\) | 1.48765 | 0.102903 | ||||||||
\(210\) | 2.17409i | 0.150027i | ||||||||
\(211\) | −2.57205 | − | 2.57205i | −0.177067 | − | 0.177067i | 0.613009 | − | 0.790076i | \(-0.289959\pi\) |
−0.790076 | + | 0.613009i | \(0.789959\pi\) | |||||||
\(212\) | −5.26473 | + | 5.26473i | −0.361583 | + | 0.361583i | ||||
\(213\) | 13.2229i | 0.906015i | ||||||||
\(214\) | 3.33900i | 0.228249i | ||||||||
\(215\) | 10.3200 | 0.703817 | ||||||||
\(216\) | 8.78961 | − | 8.78961i | 0.598057 | − | 0.598057i | ||||
\(217\) | −5.50713 | + | 5.50713i | −0.373848 | + | 0.373848i | ||||
\(218\) | −7.69611 | + | 7.69611i | −0.521246 | + | 0.521246i | ||||
\(219\) | 2.28624 | + | 2.28624i | 0.154490 | + | 0.154490i | ||||
\(220\) | 3.72877 | + | 3.72877i | 0.251393 | + | 0.251393i | ||||
\(221\) | −4.88332 | −0.328488 | ||||||||
\(222\) | −2.40257 | − | 2.40257i | −0.161250 | − | 0.161250i | ||||
\(223\) | −22.9758 | −1.53857 | −0.769286 | − | 0.638905i | \(-0.779388\pi\) | ||||
−0.769286 | + | 0.638905i | \(0.779388\pi\) | |||||||
\(224\) | −4.12803 | − | 4.12803i | −0.275815 | − | 0.275815i | ||||
\(225\) | − | 8.64566i | − | 0.576378i | ||||||
\(226\) | 0.235852i | 0.0156886i | ||||||||
\(227\) | −6.06681 | − | 6.06681i | −0.402669 | − | 0.402669i | 0.476504 | − | 0.879172i | \(-0.341904\pi\) |
−0.879172 | + | 0.476504i | \(0.841904\pi\) | |||||||
\(228\) | −1.92881 | −0.127738 | ||||||||
\(229\) | −8.78131 | − | 8.78131i | −0.580285 | − | 0.580285i | 0.354696 | − | 0.934982i | \(-0.384584\pi\) |
−0.934982 | + | 0.354696i | \(0.884584\pi\) | |||||||
\(230\) | −15.9736 | −1.05327 | ||||||||
\(231\) | 0.817873 | + | 0.817873i | 0.0538121 | + | 0.0538121i | ||||
\(232\) | 0.416880 | + | 0.416880i | 0.0273695 | + | 0.0273695i | ||||
\(233\) | −0.834351 | + | 0.834351i | −0.0546602 | + | 0.0546602i | −0.733909 | − | 0.679248i | \(-0.762306\pi\) |
0.679248 | + | 0.733909i | \(0.262306\pi\) | |||||||
\(234\) | −6.40842 | + | 6.40842i | −0.418931 | + | 0.418931i | ||||
\(235\) | 1.69955 | − | 1.69955i | 0.110866 | − | 0.110866i | ||||
\(236\) | 1.59334 | 0.103718 | ||||||||
\(237\) | 9.70170i | 0.630193i | ||||||||
\(238\) | − | 0.543413i | − | 0.0352242i | ||||||
\(239\) | 20.8470 | − | 20.8470i | 1.34848 | − | 1.34848i | 0.461162 | − | 0.887316i | \(-0.347433\pi\) |
0.887316 | − | 0.461162i | \(-0.152567\pi\) | |||||||
\(240\) | −2.64947 | − | 2.64947i | −0.171022 | − | 0.171022i | ||||
\(241\) | 25.0690i | 1.61484i | 0.589979 | + | 0.807419i | \(0.299136\pi\) | ||||
−0.589979 | + | 0.807419i | \(0.700864\pi\) | |||||||
\(242\) | 6.86955 | 0.441592 | ||||||||
\(243\) | −11.3092 | + | 11.3092i | −0.725488 | + | 0.725488i | ||||
\(244\) | − | 4.11400i | − | 0.263372i | ||||||
\(245\) | −3.05444 | −0.195141 | ||||||||
\(246\) | −4.33131 | + | 1.41830i | −0.276155 | + | 0.0904276i | ||||
\(247\) | 8.22682 | 0.523460 | ||||||||
\(248\) | 19.3441i | 1.22835i | ||||||||
\(249\) | 2.84778 | − | 2.84778i | 0.180471 | − | 0.180471i | ||||
\(250\) | −1.45519 | −0.0920341 | ||||||||
\(251\) | 6.30213i | 0.397787i | 0.980021 | + | 0.198893i | \(0.0637348\pi\) | ||||
−0.980021 | + | 0.198893i | \(0.936265\pi\) | |||||||
\(252\) | 2.11087 | + | 2.11087i | 0.132972 | + | 0.132972i | ||||
\(253\) | −6.00912 | + | 6.00912i | −0.377790 | + | 0.377790i | ||||
\(254\) | − | 1.55584i | − | 0.0976218i | ||||||
\(255\) | − | 2.33925i | − | 0.146489i | ||||||
\(256\) | −10.8379 | −0.677368 | ||||||||
\(257\) | 15.3084 | − | 15.3084i | 0.954915 | − | 0.954915i | −0.0441119 | − | 0.999027i | \(-0.514046\pi\) |
0.999027 | + | 0.0441119i | \(0.0140458\pi\) | |||||||
\(258\) | 1.70050 | − | 1.70050i | 0.105869 | − | 0.105869i | ||||
\(259\) | 3.37543 | − | 3.37543i | 0.209739 | − | 0.209739i | ||||
\(260\) | 20.6203 | + | 20.6203i | 1.27882 | + | 1.27882i | ||||
\(261\) | −0.335160 | − | 0.335160i | −0.0207459 | − | 0.0207459i | ||||
\(262\) | 15.2246 | 0.940578 | ||||||||
\(263\) | 14.8722 | + | 14.8722i | 0.917060 | + | 0.917060i | 0.996815 | − | 0.0797544i | \(-0.0254136\pi\) |
−0.0797544 | + | 0.996815i | \(0.525414\pi\) | |||||||
\(264\) | 2.87282 | 0.176810 | ||||||||
\(265\) | 10.7567 | + | 10.7567i | 0.660781 | + | 0.660781i | ||||
\(266\) | 0.915476i | 0.0561314i | ||||||||
\(267\) | − | 7.01159i | − | 0.429102i | ||||||
\(268\) | 6.93650 | + | 6.93650i | 0.423714 | + | 0.423714i | ||||
\(269\) | −7.43290 | −0.453192 | −0.226596 | − | 0.973989i | \(-0.572760\pi\) | ||||
−0.226596 | + | 0.973989i | \(0.572760\pi\) | |||||||
\(270\) | −7.68175 | − | 7.68175i | −0.467497 | − | 0.467497i | ||||
\(271\) | 7.84615 | 0.476620 | 0.238310 | − | 0.971189i | \(-0.423407\pi\) | ||||
0.238310 | + | 0.971189i | \(0.423407\pi\) | |||||||
\(272\) | 0.662233 | + | 0.662233i | 0.0401538 | + | 0.0401538i | ||||
\(273\) | 4.52289 | + | 4.52289i | 0.273738 | + | 0.273738i | ||||
\(274\) | −8.11714 | + | 8.11714i | −0.490375 | + | 0.490375i | ||||
\(275\) | 3.53554 | − | 3.53554i | 0.213201 | − | 0.213201i | ||||
\(276\) | 7.79108 | − | 7.79108i | 0.468968 | − | 0.468968i | ||||
\(277\) | 32.9500 | 1.97977 | 0.989885 | − | 0.141870i | \(-0.0453114\pi\) | ||||
0.989885 | + | 0.141870i | \(0.0453114\pi\) | |||||||
\(278\) | 11.7561i | 0.705082i | ||||||||
\(279\) | − | 15.5521i | − | 0.931080i | ||||||
\(280\) | −5.36444 | + | 5.36444i | −0.320587 | + | 0.320587i | ||||
\(281\) | 2.41851 | + | 2.41851i | 0.144276 | + | 0.144276i | 0.775556 | − | 0.631279i | \(-0.217470\pi\) |
−0.631279 | + | 0.775556i | \(0.717470\pi\) | |||||||
\(282\) | − | 0.560097i | − | 0.0333533i | ||||||
\(283\) | −15.5435 | −0.923966 | −0.461983 | − | 0.886889i | \(-0.652862\pi\) | ||||
−0.461983 | + | 0.886889i | \(0.652862\pi\) | |||||||
\(284\) | −13.9559 | + | 13.9559i | −0.828130 | + | 0.828130i | ||||
\(285\) | 3.94088i | 0.233437i | ||||||||
\(286\) | −5.24129 | −0.309924 | ||||||||
\(287\) | −1.99261 | − | 6.08519i | −0.117620 | − | 0.359197i | ||||
\(288\) | 11.6575 | 0.686926 | ||||||||
\(289\) | − | 16.4153i | − | 0.965606i | ||||||
\(290\) | 0.364336 | − | 0.364336i | 0.0213945 | − | 0.0213945i | ||||
\(291\) | 16.1289 | 0.945493 | ||||||||
\(292\) | 4.82597i | 0.282418i | ||||||||
\(293\) | −2.86404 | − | 2.86404i | −0.167319 | − | 0.167319i | 0.618481 | − | 0.785800i | \(-0.287748\pi\) |
−0.785800 | + | 0.618481i | \(0.787748\pi\) | |||||||
\(294\) | −0.503305 | + | 0.503305i | −0.0293533 | + | 0.0293533i | ||||
\(295\) | − | 3.25546i | − | 0.189540i | ||||||
\(296\) | − | 11.8564i | − | 0.689138i | ||||||
\(297\) | −5.77961 | −0.335367 | ||||||||
\(298\) | −5.51654 | + | 5.51654i | −0.319564 | + | 0.319564i | ||||
\(299\) | −33.2308 | + | 33.2308i | −1.92179 | + | 1.92179i | ||||
\(300\) | −4.58398 | + | 4.58398i | −0.264656 | + | 0.264656i | ||||
\(301\) | 2.38909 | + | 2.38909i | 0.137705 | + | 0.137705i | ||||
\(302\) | −3.68664 | − | 3.68664i | −0.212142 | − | 0.212142i | ||||
\(303\) | −19.0372 | −1.09366 | ||||||||
\(304\) | −1.11565 | − | 1.11565i | −0.0639869 | − | 0.0639869i | ||||
\(305\) | −8.40560 | −0.481303 | ||||||||
\(306\) | 0.767297 | + | 0.767297i | 0.0438634 | + | 0.0438634i | ||||
\(307\) | 4.34253i | 0.247841i | 0.992292 | + | 0.123921i | \(0.0395468\pi\) | ||||
−0.992292 | + | 0.123921i | \(0.960453\pi\) | |||||||
\(308\) | 1.72643i | 0.0983723i | ||||||||
\(309\) | −7.82870 | − | 7.82870i | −0.445359 | − | 0.445359i | ||||
\(310\) | 16.9059 | 0.960191 | ||||||||
\(311\) | 0.993600 | + | 0.993600i | 0.0563419 | + | 0.0563419i | 0.734716 | − | 0.678374i | \(-0.237315\pi\) |
−0.678374 | + | 0.734716i | \(0.737315\pi\) | |||||||
\(312\) | 15.8869 | 0.899417 | ||||||||
\(313\) | 19.6342 | + | 19.6342i | 1.10979 | + | 1.10979i | 0.993177 | + | 0.116616i | \(0.0372045\pi\) |
0.116616 | + | 0.993177i | \(0.462795\pi\) | |||||||
\(314\) | 0.416404 | + | 0.416404i | 0.0234991 | + | 0.0234991i | ||||
\(315\) | 4.31286 | − | 4.31286i | 0.243002 | − | 0.243002i | ||||
\(316\) | −10.2395 | + | 10.2395i | −0.576019 | + | 0.576019i | ||||
\(317\) | −14.4078 | + | 14.4078i | −0.809224 | + | 0.809224i | −0.984516 | − | 0.175293i | \(-0.943913\pi\) |
0.175293 | + | 0.984516i | \(0.443913\pi\) | |||||||
\(318\) | 3.54495 | 0.198791 | ||||||||
\(319\) | − | 0.274119i | − | 0.0153477i | ||||||
\(320\) | 5.19019i | 0.290141i | ||||||||
\(321\) | −3.32748 | + | 3.32748i | −0.185722 | + | 0.185722i | ||||
\(322\) | −3.69791 | − | 3.69791i | −0.206076 | − | 0.206076i | ||||
\(323\) | − | 0.985020i | − | 0.0548080i | ||||||
\(324\) | −1.46215 | −0.0812306 | ||||||||
\(325\) | 19.5518 | − | 19.5518i | 1.08454 | − | 1.08454i | ||||
\(326\) | − | 13.6389i | − | 0.755389i | ||||||
\(327\) | −15.3391 | −0.848255 | ||||||||
\(328\) | −14.1868 | − | 7.18768i | −0.783337 | − | 0.396873i | ||||
\(329\) | 0.786896 | 0.0433830 | ||||||||
\(330\) | − | 2.51072i | − | 0.138211i | ||||||
\(331\) | −18.7292 | + | 18.7292i | −1.02945 | + | 1.02945i | −0.0298997 | + | 0.999553i | \(0.509519\pi\) |
−0.999553 | + | 0.0298997i | \(0.990481\pi\) | |||||||
\(332\) | 6.01131 | 0.329914 | ||||||||
\(333\) | 9.53220i | 0.522361i | ||||||||
\(334\) | 3.88915 | + | 3.88915i | 0.212805 | + | 0.212805i | ||||
\(335\) | 14.1724 | − | 14.1724i | 0.774324 | − | 0.774324i | ||||
\(336\) | − | 1.22671i | − | 0.0669225i | ||||||
\(337\) | − | 27.5741i | − | 1.50206i | −0.660271 | − | 0.751028i | \(-0.729558\pi\) | ||
0.660271 | − | 0.751028i | \(-0.270442\pi\) | |||||||
\(338\) | −19.7460 | −1.07404 | ||||||||
\(339\) | −0.235038 | + | 0.235038i | −0.0127655 | + | 0.0127655i | ||||
\(340\) | 2.46893 | − | 2.46893i | 0.133896 | − | 0.133896i | ||||
\(341\) | 6.35984 | − | 6.35984i | 0.344405 | − | 0.344405i | ||||
\(342\) | −1.29265 | − | 1.29265i | −0.0698984 | − | 0.0698984i | ||||
\(343\) | −0.707107 | − | 0.707107i | −0.0381802 | − | 0.0381802i | ||||
\(344\) | 8.39178 | 0.452454 | ||||||||
\(345\) | −15.9185 | − | 15.9185i | −0.857023 | − | 0.857023i | ||||
\(346\) | −4.01235 | −0.215705 | ||||||||
\(347\) | −21.6977 | − | 21.6977i | −1.16480 | − | 1.16480i | −0.983413 | − | 0.181382i | \(-0.941943\pi\) |
−0.181382 | − | 0.983413i | \(-0.558057\pi\) | |||||||
\(348\) | 0.355407i | 0.0190518i | ||||||||
\(349\) | − | 21.9763i | − | 1.17637i | −0.808728 | − | 0.588183i | \(-0.799844\pi\) | ||
0.808728 | − | 0.588183i | \(-0.200156\pi\) | |||||||
\(350\) | 2.17571 | + | 2.17571i | 0.116297 | + | 0.116297i | ||||
\(351\) | −31.9616 | −1.70598 | ||||||||
\(352\) | 4.76720 | + | 4.76720i | 0.254093 | + | 0.254093i | ||||
\(353\) | −9.46613 | −0.503831 | −0.251916 | − | 0.967749i | \(-0.581061\pi\) | ||||
−0.251916 | + | 0.967749i | \(0.581061\pi\) | |||||||
\(354\) | −0.536428 | − | 0.536428i | −0.0285108 | − | 0.0285108i | ||||
\(355\) | 28.5143 | + | 28.5143i | 1.51338 | + | 1.51338i | ||||
\(356\) | 7.40029 | − | 7.40029i | 0.392215 | − | 0.392215i | ||||
\(357\) | 0.541538 | − | 0.541538i | 0.0286612 | − | 0.0286612i | ||||
\(358\) | −2.63421 | + | 2.63421i | −0.139223 | + | 0.139223i | ||||
\(359\) | 5.60067 | 0.295592 | 0.147796 | − | 0.989018i | \(-0.452782\pi\) | ||||
0.147796 | + | 0.989018i | \(0.452782\pi\) | |||||||
\(360\) | − | 15.1491i | − | 0.798429i | ||||||
\(361\) | − | 17.3406i | − | 0.912661i | ||||||
\(362\) | 0.667528 | − | 0.667528i | 0.0350845 | − | 0.0350845i | ||||
\(363\) | 6.84585 | + | 6.84585i | 0.359314 | + | 0.359314i | ||||
\(364\) | 9.54726i | 0.500412i | ||||||||
\(365\) | 9.86027 | 0.516110 | ||||||||
\(366\) | −1.38506 | + | 1.38506i | −0.0723981 | + | 0.0723981i | ||||
\(367\) | 20.5237i | 1.07133i | 0.844431 | + | 0.535665i | \(0.179939\pi\) | ||||
−0.844431 | + | 0.535665i | \(0.820061\pi\) | |||||||
\(368\) | 9.01294 | 0.469832 | ||||||||
\(369\) | 11.4058 | + | 5.77870i | 0.593763 | + | 0.300827i | ||||
\(370\) | −10.3620 | −0.538693 | ||||||||
\(371\) | 4.98040i | 0.258569i | ||||||||
\(372\) | −8.24580 | + | 8.24580i | −0.427525 | + | 0.427525i | ||||
\(373\) | −29.4638 | −1.52558 | −0.762790 | − | 0.646646i | \(-0.776171\pi\) | ||||
−0.762790 | + | 0.646646i | \(0.776171\pi\) | |||||||
\(374\) | 0.627553i | 0.0324500i | ||||||||
\(375\) | −1.45017 | − | 1.45017i | −0.0748862 | − | 0.0748862i | ||||
\(376\) | 1.38200 | − | 1.38200i | 0.0712714 | − | 0.0712714i | ||||
\(377\) | − | 1.51590i | − | 0.0780727i | ||||||
\(378\) | − | 3.55667i | − | 0.182935i | ||||||
\(379\) | −21.9096 | −1.12542 | −0.562710 | − | 0.826654i | \(-0.690241\pi\) | ||||
−0.562710 | + | 0.826654i | \(0.690241\pi\) | |||||||
\(380\) | −4.15935 | + | 4.15935i | −0.213370 | + | 0.213370i | ||||
\(381\) | 1.55047 | − | 1.55047i | 0.0794329 | − | 0.0794329i | ||||
\(382\) | 9.87096 | − | 9.87096i | 0.505042 | − | 0.505042i | ||||
\(383\) | 2.43934 | + | 2.43934i | 0.124644 | + | 0.124644i | 0.766677 | − | 0.642033i | \(-0.221909\pi\) |
−0.642033 | + | 0.766677i | \(0.721909\pi\) | |||||||
\(384\) | −7.41376 | − | 7.41376i | −0.378332 | − | 0.378332i | ||||
\(385\) | 3.52738 | 0.179772 | ||||||||
\(386\) | 7.35203 | + | 7.35203i | 0.374208 | + | 0.374208i | ||||
\(387\) | −6.74676 | −0.342957 | ||||||||
\(388\) | 17.0231 | + | 17.0231i | 0.864215 | + | 0.864215i | ||||
\(389\) | 3.03429i | 0.153845i | 0.997037 | + | 0.0769223i | \(0.0245093\pi\) | ||||
−0.997037 | + | 0.0769223i | \(0.975491\pi\) | |||||||
\(390\) | − | 13.8845i | − | 0.703067i | ||||||
\(391\) | 3.97882 | + | 3.97882i | 0.201217 | + | 0.201217i | ||||
\(392\) | −2.48375 | −0.125448 | ||||||||
\(393\) | 15.1721 | + | 15.1721i | 0.765329 | + | 0.765329i | ||||
\(394\) | −15.2617 | −0.768874 | ||||||||
\(395\) | 20.9211 | + | 20.9211i | 1.05266 | + | 1.05266i | ||||
\(396\) | −2.43771 | − | 2.43771i | −0.122499 | − | 0.122499i | ||||
\(397\) | 20.7455 | − | 20.7455i | 1.04119 | − | 1.04119i | 0.0420719 | − | 0.999115i | \(-0.486604\pi\) |
0.999115 | − | 0.0420719i | \(-0.0133958\pi\) | |||||||
\(398\) | 5.38121 | − | 5.38121i | 0.269736 | − | 0.269736i | ||||
\(399\) | −0.912317 | + | 0.912317i | −0.0456730 | + | 0.0456730i | ||||
\(400\) | −5.30288 | −0.265144 | ||||||||
\(401\) | − | 20.3314i | − | 1.01530i | −0.861563 | − | 0.507650i | \(-0.830514\pi\) | ||
0.861563 | − | 0.507650i | \(-0.169486\pi\) | |||||||
\(402\) | − | 4.67061i | − | 0.232949i | ||||||
\(403\) | 35.1703 | − | 35.1703i | 1.75196 | − | 1.75196i | ||||
\(404\) | −20.0926 | − | 20.0926i | −0.999644 | − | 0.999644i | ||||
\(405\) | 2.98742i | 0.148446i | ||||||||
\(406\) | 0.168688 | 0.00837186 | ||||||||
\(407\) | −3.89808 | + | 3.89808i | −0.193221 | + | 0.193221i | ||||
\(408\) | − | 1.90218i | − | 0.0941719i | ||||||
\(409\) | 12.8124 | 0.633530 | 0.316765 | − | 0.948504i | \(-0.397403\pi\) | ||||
0.316765 | + | 0.948504i | \(0.397403\pi\) | |||||||
\(410\) | −6.28173 | + | 12.3987i | −0.310233 | + | 0.612328i | ||||
\(411\) | −16.1783 | −0.798015 | ||||||||
\(412\) | − | 16.5254i | − | 0.814149i | ||||||
\(413\) | 0.753643 | − | 0.753643i | 0.0370843 | − | 0.0370843i | ||||
\(414\) | 10.4429 | 0.513239 | ||||||||
\(415\) | − | 12.2821i | − | 0.602906i | ||||||
\(416\) | 26.3629 | + | 26.3629i | 1.29255 | + | 1.29255i | ||||
\(417\) | −11.7155 | + | 11.7155i | −0.573711 | + | 0.573711i | ||||
\(418\) | − | 1.05723i | − | 0.0517106i | ||||||
\(419\) | − | 37.7334i | − | 1.84340i | −0.387905 | − | 0.921699i | \(-0.626801\pi\) | ||
0.387905 | − | 0.921699i | \(-0.373199\pi\) | |||||||
\(420\) | −4.57340 | −0.223159 | ||||||||
\(421\) | −3.01804 | + | 3.01804i | −0.147090 | + | 0.147090i | −0.776817 | − | 0.629727i | \(-0.783167\pi\) |
0.629727 | + | 0.776817i | \(0.283167\pi\) | |||||||
\(422\) | −1.82787 | + | 1.82787i | −0.0889793 | + | 0.0889793i | ||||
\(423\) | −1.11109 | + | 1.11109i | −0.0540232 | + | 0.0540232i | ||||
\(424\) | 8.74694 | + | 8.74694i | 0.424789 | + | 0.424789i | ||||
\(425\) | −2.34099 | − | 2.34099i | −0.113555 | − | 0.113555i | ||||
\(426\) | 9.39704 | 0.455288 | ||||||||
\(427\) | −1.94590 | − | 1.94590i | −0.0941689 | − | 0.0941689i | ||||
\(428\) | −7.02390 | −0.339513 | ||||||||
\(429\) | −5.22320 | − | 5.22320i | −0.252179 | − | 0.252179i | ||||
\(430\) | − | 7.33406i | − | 0.353680i | ||||||
\(431\) | 23.4255i | 1.12837i | 0.825650 | + | 0.564183i | \(0.190809\pi\) | ||||
−0.825650 | + | 0.564183i | \(0.809191\pi\) | |||||||
\(432\) | 4.33435 | + | 4.33435i | 0.208537 | + | 0.208537i | ||||
\(433\) | 23.3401 | 1.12165 | 0.560826 | − | 0.827933i | \(-0.310483\pi\) | ||||
0.560826 | + | 0.827933i | \(0.310483\pi\) | |||||||
\(434\) | 3.91373 | + | 3.91373i | 0.187865 | + | 0.187865i | ||||
\(435\) | 0.726157 | 0.0348166 | ||||||||
\(436\) | −16.1895 | − | 16.1895i | −0.775335 | − | 0.775335i | ||||
\(437\) | −6.70303 | − | 6.70303i | −0.320649 | − | 0.320649i | ||||
\(438\) | 1.62475 | − | 1.62475i | 0.0776338 | − | 0.0776338i | ||||
\(439\) | 22.0363 | − | 22.0363i | 1.05174 | − | 1.05174i | 0.0531508 | − | 0.998586i | \(-0.483074\pi\) |
0.998586 | − | 0.0531508i | \(-0.0169264\pi\) | |||||||
\(440\) | 6.19505 | − | 6.19505i | 0.295338 | − | 0.295338i | ||||
\(441\) | 1.99686 | 0.0950888 | ||||||||
\(442\) | 3.47041i | 0.165071i | ||||||||
\(443\) | 15.8621i | 0.753630i | 0.926289 | + | 0.376815i | \(0.122981\pi\) | ||||
−0.926289 | + | 0.376815i | \(0.877019\pi\) | |||||||
\(444\) | 5.05402 | − | 5.05402i | 0.239853 | − | 0.239853i | ||||
\(445\) | −15.1201 | − | 15.1201i | −0.716760 | − | 0.716760i | ||||
\(446\) | 16.3281i | 0.773158i | ||||||||
\(447\) | −10.9950 | −0.520046 | ||||||||
\(448\) | −1.20154 | + | 1.20154i | −0.0567672 | + | 0.0567672i | ||||
\(449\) | − | 39.9684i | − | 1.88623i | −0.332473 | − | 0.943113i | \(-0.607883\pi\) | ||
0.332473 | − | 0.943113i | \(-0.392117\pi\) | |||||||
\(450\) | −6.14418 | −0.289640 | ||||||||
\(451\) | 2.30114 | + | 7.02740i | 0.108357 | + | 0.330907i | ||||
\(452\) | −0.496137 | −0.0233363 | ||||||||
\(453\) | − | 7.34784i | − | 0.345231i | ||||||
\(454\) | −4.31148 | + | 4.31148i | −0.202348 | + | 0.202348i | ||||
\(455\) | 19.5067 | 0.914487 | ||||||||
\(456\) | 3.20456i | 0.150067i | ||||||||
\(457\) | 23.5551 | + | 23.5551i | 1.10186 | + | 1.10186i | 0.994186 | + | 0.107675i | \(0.0343405\pi\) |
0.107675 | + | 0.994186i | \(0.465660\pi\) | |||||||
\(458\) | −6.24058 | + | 6.24058i | −0.291603 | + | 0.291603i | ||||
\(459\) | 3.82685i | 0.178622i | ||||||||
\(460\) | − | 33.6020i | − | 1.56670i | ||||||
\(461\) | −2.21443 | −0.103136 | −0.0515682 | − | 0.998669i | \(-0.516422\pi\) | ||||
−0.0515682 | + | 0.998669i | \(0.516422\pi\) | |||||||
\(462\) | 0.581235 | − | 0.581235i | 0.0270415 | − | 0.0270415i | ||||
\(463\) | 18.7504 | − | 18.7504i | 0.871407 | − | 0.871407i | −0.121219 | − | 0.992626i | \(-0.538680\pi\) |
0.992626 | + | 0.121219i | \(0.0386802\pi\) | |||||||
\(464\) | −0.205573 | + | 0.205573i | −0.00954348 | + | 0.00954348i | ||||
\(465\) | 16.8476 | + | 16.8476i | 0.781287 | + | 0.781287i | ||||
\(466\) | 0.592946 | + | 0.592946i | 0.0274677 | + | 0.0274677i | ||||
\(467\) | −12.5721 | −0.581768 | −0.290884 | − | 0.956758i | \(-0.593949\pi\) | ||||
−0.290884 | + | 0.956758i | \(0.593949\pi\) | |||||||
\(468\) | −13.4807 | − | 13.4807i | −0.623145 | − | 0.623145i | ||||
\(469\) | 6.56187 | 0.302999 | ||||||||
\(470\) | −1.20781 | − | 1.20781i | −0.0557123 | − | 0.0557123i | ||||
\(471\) | 0.829936i | 0.0382414i | ||||||||
\(472\) | − | 2.64721i | − | 0.121848i | ||||||
\(473\) | −2.75900 | − | 2.75900i | −0.126859 | − | 0.126859i | ||||
\(474\) | 6.89468 | 0.316683 | ||||||||
\(475\) | 3.94381 | + | 3.94381i | 0.180954 | + | 0.180954i | ||||
\(476\) | 1.14312 | 0.0523948 | ||||||||
\(477\) | −7.03230 | − | 7.03230i | −0.321987 | − | 0.321987i | ||||
\(478\) | −14.8152 | − | 14.8152i | −0.677633 | − | 0.677633i | ||||
\(479\) | −8.12217 | + | 8.12217i | −0.371112 | + | 0.371112i | −0.867882 | − | 0.496770i | \(-0.834519\pi\) |
0.496770 | + | 0.867882i | \(0.334519\pi\) | |||||||
\(480\) | −12.6286 | + | 12.6286i | −0.576413 | + | 0.576413i | ||||
\(481\) | −21.5566 | + | 21.5566i | −0.982898 | + | 0.982898i | ||||
\(482\) | 17.8157 | 0.811484 | ||||||||
\(483\) | − | 7.37030i | − | 0.335360i | ||||||
\(484\) | 14.4507i | 0.656852i | ||||||||
\(485\) | 34.7810 | − | 34.7810i | 1.57932 | − | 1.57932i | ||||
\(486\) | 8.03709 | + | 8.03709i | 0.364570 | + | 0.364570i | ||||
\(487\) | 10.5768i | 0.479282i | 0.970862 | + | 0.239641i | \(0.0770297\pi\) | ||||
−0.970862 | + | 0.239641i | \(0.922970\pi\) | |||||||
\(488\) | −6.83508 | −0.309410 | ||||||||
\(489\) | 13.5918 | − | 13.5918i | 0.614645 | − | 0.614645i | ||||
\(490\) | 2.17069i | 0.0980618i | ||||||||
\(491\) | −37.6499 | −1.69912 | −0.849558 | − | 0.527496i | \(-0.823131\pi\) | ||||
−0.849558 | + | 0.527496i | \(0.823131\pi\) | |||||||
\(492\) | −2.98353 | − | 9.11132i | −0.134508 | − | 0.410770i | ||||
\(493\) | −0.181503 | −0.00817447 | ||||||||
\(494\) | − | 5.84653i | − | 0.263048i | ||||||
\(495\) | −4.98065 | + | 4.98065i | −0.223864 | + | 0.223864i | ||||
\(496\) | −9.53898 | −0.428313 | ||||||||
\(497\) | 13.2022i | 0.592198i | ||||||||
\(498\) | −2.02382 | − | 2.02382i | −0.0906897 | − | 0.0906897i | ||||
\(499\) | 1.92115 | − | 1.92115i | 0.0860024 | − | 0.0860024i | −0.662797 | − | 0.748799i | \(-0.730631\pi\) |
0.748799 | + | 0.662797i | \(0.230631\pi\) | |||||||
\(500\) | − | 3.06112i | − | 0.136897i | ||||||
\(501\) | 7.75145i | 0.346309i | ||||||||
\(502\) | 4.47871 | 0.199895 | ||||||||
\(503\) | −13.4311 | + | 13.4311i | −0.598864 | + | 0.598864i | −0.940010 | − | 0.341146i | \(-0.889185\pi\) |
0.341146 | + | 0.940010i | \(0.389185\pi\) | |||||||
\(504\) | 3.50704 | − | 3.50704i | 0.156216 | − | 0.156216i | ||||
\(505\) | −41.0526 | + | 41.0526i | −1.82682 | + | 1.82682i | ||||
\(506\) | 4.27048 | + | 4.27048i | 0.189846 | + | 0.189846i | ||||
\(507\) | −19.6779 | − | 19.6779i | −0.873925 | − | 0.873925i | ||||
\(508\) | 3.27284 | 0.145209 | ||||||||
\(509\) | 9.96636 | + | 9.96636i | 0.441751 | + | 0.441751i | 0.892600 | − | 0.450849i | \(-0.148879\pi\) |
−0.450849 | + | 0.892600i | \(0.648879\pi\) | |||||||
\(510\) | −1.66242 | −0.0736134 | ||||||||
\(511\) | 2.28266 | + | 2.28266i | 0.100979 | + | 0.100979i | ||||
\(512\) | − | 13.2344i | − | 0.584881i | ||||||
\(513\) | − | 6.44701i | − | 0.284642i | ||||||
\(514\) | −10.8792 | − | 10.8792i | −0.479861 | − | 0.479861i | ||||
\(515\) | −33.7642 | −1.48783 | ||||||||
\(516\) | 3.57717 | + | 3.57717i | 0.157476 | + | 0.157476i | ||||
\(517\) | −0.908736 | −0.0399662 | ||||||||
\(518\) | −2.39881 | − | 2.39881i | −0.105398 | − | 0.105398i | ||||
\(519\) | −3.99851 | − | 3.99851i | −0.175515 | − | 0.175515i | ||||
\(520\) | 34.2591 | − | 34.2591i | 1.50236 | − | 1.50236i | ||||
\(521\) | −12.8052 | + | 12.8052i | −0.561007 | + | 0.561007i | −0.929593 | − | 0.368587i | \(-0.879842\pi\) |
0.368587 | + | 0.929593i | \(0.379842\pi\) | |||||||
\(522\) | −0.238187 | + | 0.238187i | −0.0104252 | + | 0.0104252i | ||||
\(523\) | 33.8033 | 1.47812 | 0.739058 | − | 0.673641i | \(-0.235271\pi\) | ||||
0.739058 | + | 0.673641i | \(0.235271\pi\) | |||||||
\(524\) | 32.0263i | 1.39908i | ||||||||
\(525\) | 4.33640i | 0.189256i | ||||||||
\(526\) | 10.5692 | − | 10.5692i | 0.460839 | − | 0.460839i | ||||
\(527\) | −4.21104 | − | 4.21104i | −0.183436 | − | 0.183436i | ||||
\(528\) | 1.41665i | 0.0616517i | ||||||||
\(529\) | 31.1514 | 1.35441 | ||||||||
\(530\) | 7.64446 | − | 7.64446i | 0.332054 | − | 0.332054i | ||||
\(531\) | 2.12828i | 0.0923596i | ||||||||
\(532\) | −1.92579 | −0.0834935 | ||||||||
\(533\) | 12.7255 | + | 38.8620i | 0.551202 | + | 1.68330i | ||||
\(534\) | −4.98290 | −0.215631 | ||||||||
\(535\) | 14.3510i | 0.620449i | ||||||||
\(536\) | 11.5244 | − | 11.5244i | 0.497780 | − | 0.497780i | ||||
\(537\) | −5.25025 | −0.226565 | ||||||||
\(538\) | 5.28231i | 0.227737i | ||||||||
\(539\) | 0.816593 | + | 0.816593i | 0.0351732 | + | 0.0351732i | ||||
\(540\) | 16.1593 | − | 16.1593i | 0.695385 | − | 0.695385i | ||||
\(541\) | − | 21.0929i | − | 0.906854i | −0.891294 | − | 0.453427i | \(-0.850201\pi\) | ||
0.891294 | − | 0.453427i | \(-0.149799\pi\) | |||||||
\(542\) | − | 5.57600i | − | 0.239510i | ||||||
\(543\) | 1.33045 | 0.0570951 | ||||||||
\(544\) | 3.15651 | − | 3.15651i | 0.135334 | − | 0.135334i | ||||
\(545\) | −33.0778 | + | 33.0778i | −1.41690 | + | 1.41690i | ||||
\(546\) | 3.21427 | − | 3.21427i | 0.137558 | − | 0.137558i | ||||
\(547\) | 12.0413 | + | 12.0413i | 0.514849 | + | 0.514849i | 0.916008 | − | 0.401159i | \(-0.131393\pi\) |
−0.401159 | + | 0.916008i | \(0.631393\pi\) | |||||||
\(548\) | −17.0752 | − | 17.0752i | −0.729415 | − | 0.729415i | ||||
\(549\) | 5.49522 | 0.234530 | ||||||||
\(550\) | −2.51259 | − | 2.51259i | −0.107137 | − | 0.107137i | ||||
\(551\) | 0.305774 | 0.0130264 | ||||||||
\(552\) | −12.9443 | − | 12.9443i | −0.550944 | − | 0.550944i | ||||
\(553\) | 9.68653i | 0.411913i | ||||||||
\(554\) | − | 23.4164i | − | 0.994869i | ||||||
\(555\) | −10.3262 | − | 10.3262i | −0.438324 | − | 0.438324i | ||||
\(556\) | −24.7300 | −1.04878 | ||||||||
\(557\) | −9.26103 | − | 9.26103i | −0.392402 | − | 0.392402i | 0.483140 | − | 0.875543i | \(-0.339496\pi\) |
−0.875543 | + | 0.483140i | \(0.839496\pi\) | |||||||
\(558\) | −11.0524 | −0.467884 | ||||||||
\(559\) | −15.2575 | − | 15.2575i | −0.645323 | − | 0.645323i | ||||
\(560\) | −2.64532 | − | 2.64532i | −0.111785 | − | 0.111785i | ||||
\(561\) | −0.625388 | + | 0.625388i | −0.0264039 | + | 0.0264039i | ||||
\(562\) | 1.71875 | − | 1.71875i | 0.0725013 | − | 0.0725013i | ||||
\(563\) | 3.40074 | − | 3.40074i | 0.143324 | − | 0.143324i | −0.631804 | − | 0.775128i | \(-0.717685\pi\) |
0.775128 | + | 0.631804i | \(0.217685\pi\) | |||||||
\(564\) | 1.17822 | 0.0496118 | ||||||||
\(565\) | 1.01369i | 0.0426463i | ||||||||
\(566\) | 11.0463i | 0.464309i | ||||||||
\(567\) | −0.691592 | + | 0.691592i | −0.0290441 | + | 0.0290441i | ||||
\(568\) | 23.1866 | + | 23.1866i | 0.972889 | + | 0.972889i | ||||
\(569\) | 31.9201i | 1.33816i | 0.743191 | + | 0.669079i | \(0.233311\pi\) | ||||
−0.743191 | + | 0.669079i | \(0.766689\pi\) | |||||||
\(570\) | 2.80065 | 0.117306 | ||||||||
\(571\) | −2.50181 | + | 2.50181i | −0.104697 | + | 0.104697i | −0.757515 | − | 0.652818i | \(-0.773587\pi\) |
0.652818 | + | 0.757515i | \(0.273587\pi\) | |||||||
\(572\) | − | 11.0255i | − | 0.461001i | ||||||
\(573\) | 19.6738 | 0.821885 | ||||||||
\(574\) | −4.32454 | + | 1.41608i | −0.180503 | + | 0.0591062i | ||||
\(575\) | −31.8607 | −1.32868 | ||||||||
\(576\) | − | 3.39313i | − | 0.141380i | ||||||
\(577\) | −26.7883 | + | 26.7883i | −1.11521 | + | 1.11521i | −0.122777 | + | 0.992434i | \(0.539180\pi\) |
−0.992434 | + | 0.122777i | \(0.960820\pi\) | |||||||
\(578\) | −11.6658 | −0.485234 | ||||||||
\(579\) | 14.6533i | 0.608971i | ||||||||
\(580\) | 0.766414 | + | 0.766414i | 0.0318236 | + | 0.0318236i | ||||
\(581\) | 2.84333 | − | 2.84333i | 0.117961 | − | 0.117961i | ||||
\(582\) | − | 11.4623i | − | 0.475127i | ||||||
\(583\) | − | 5.75155i | − | 0.238205i | ||||||
\(584\) | 8.01796 | 0.331786 | ||||||||
\(585\) | −27.5433 | + | 27.5433i | −1.13878 | + | 1.13878i | ||||
\(586\) | −2.03538 | + | 2.03538i | −0.0840806 | + | 0.0840806i | ||||
\(587\) | 15.0176 | − | 15.0176i | 0.619843 | − | 0.619843i | −0.325648 | − | 0.945491i | \(-0.605583\pi\) |
0.945491 | + | 0.325648i | \(0.105583\pi\) | |||||||
\(588\) | −1.05875 | − | 1.05875i | −0.0436620 | − | 0.0436620i | ||||
\(589\) | 7.09425 | + | 7.09425i | 0.292313 | + | 0.292313i | ||||
\(590\) | −2.31355 | −0.0952473 | ||||||||
\(591\) | −15.2091 | − | 15.2091i | −0.625617 | − | 0.625617i | ||||
\(592\) | 5.84664 | 0.240295 | ||||||||
\(593\) | −21.3334 | − | 21.3334i | −0.876060 | − | 0.876060i | 0.117065 | − | 0.993124i | \(-0.462652\pi\) |
−0.993124 | + | 0.117065i | \(0.962652\pi\) | |||||||
\(594\) | 4.10737i | 0.168528i | ||||||||
\(595\) | − | 2.33559i | − | 0.0957497i | ||||||
\(596\) | −11.6045 | − | 11.6045i | −0.475341 | − | 0.475341i | ||||
\(597\) | 10.7253 | 0.438957 | ||||||||
\(598\) | 23.6160 | + | 23.6160i | 0.965732 | + | 0.965732i | ||||
\(599\) | −12.9952 | −0.530968 | −0.265484 | − | 0.964115i | \(-0.585532\pi\) | ||||
−0.265484 | + | 0.964115i | \(0.585532\pi\) | |||||||
\(600\) | 7.61591 | + | 7.61591i | 0.310918 | + | 0.310918i | ||||
\(601\) | 32.1733 | + | 32.1733i | 1.31238 | + | 1.31238i | 0.919660 | + | 0.392715i | \(0.128464\pi\) |
0.392715 | + | 0.919660i | \(0.371536\pi\) | |||||||
\(602\) | 1.69784 | − | 1.69784i | 0.0691989 | − | 0.0691989i | ||||
\(603\) | −9.26534 | + | 9.26534i | −0.377314 | + | 0.377314i | ||||
\(604\) | 7.75518 | − | 7.75518i | 0.315554 | − | 0.315554i | ||||
\(605\) | 29.5253 | 1.20037 | ||||||||
\(606\) | 13.5291i | 0.549583i | ||||||||
\(607\) | 37.6108i | 1.52657i | 0.646060 | + | 0.763287i | \(0.276416\pi\) | ||||
−0.646060 | + | 0.763287i | \(0.723584\pi\) | |||||||
\(608\) | −5.31769 | + | 5.31769i | −0.215661 | + | 0.215661i | ||||
\(609\) | 0.168106 | + | 0.168106i | 0.00681201 | + | 0.00681201i | ||||
\(610\) | 5.97358i | 0.241863i | ||||||||
\(611\) | −5.02537 | −0.203305 | ||||||||
\(612\) | −1.61408 | + | 1.61408i | −0.0652453 | + | 0.0652453i | ||||
\(613\) | 14.9861i | 0.605283i | 0.953104 | + | 0.302641i | \(0.0978685\pi\) | ||||
−0.953104 | + | 0.302641i | \(0.902132\pi\) | |||||||
\(614\) | 3.08609 | 0.124545 | ||||||||
\(615\) | −18.6160 | + | 6.09586i | −0.750669 | + | 0.245809i | ||||
\(616\) | 2.86832 | 0.115568 | ||||||||
\(617\) | 38.8014i | 1.56208i | 0.624478 | + | 0.781042i | \(0.285312\pi\) | ||||
−0.624478 | + | 0.781042i | \(0.714688\pi\) | |||||||
\(618\) | −5.56360 | + | 5.56360i | −0.223801 | + | 0.223801i | ||||
\(619\) | 22.6130 | 0.908895 | 0.454447 | − | 0.890774i | \(-0.349837\pi\) | ||||
0.454447 | + | 0.890774i | \(0.349837\pi\) | |||||||
\(620\) | 35.5631i | 1.42825i | ||||||||
\(621\) | 26.0416 | + | 26.0416i | 1.04501 | + | 1.04501i | ||||
\(622\) | 0.706118 | − | 0.706118i | 0.0283128 | − | 0.0283128i | ||||
\(623\) | − | 7.00062i | − | 0.280474i | ||||||
\(624\) | 7.83417i | 0.313618i | ||||||||
\(625\) | −27.9025 | −1.11610 | ||||||||
\(626\) | 13.9534 | − | 13.9534i | 0.557690 | − | 0.557690i | ||||
\(627\) | 1.05358 | − | 1.05358i | 0.0420758 | − | 0.0420758i | ||||
\(628\) | −0.875945 | + | 0.875945i | −0.0349540 | + | 0.0349540i | ||||
\(629\) | 2.58103 | + | 2.58103i | 0.102913 | + | 0.102913i | ||||
\(630\) | −3.06501 | − | 3.06501i | −0.122113 | − | 0.122113i | ||||
\(631\) | 34.8165 | 1.38602 | 0.693011 | − | 0.720927i | \(-0.256284\pi\) | ||||
0.693011 | + | 0.720927i | \(0.256284\pi\) | |||||||
\(632\) | 17.0122 | + | 17.0122i | 0.676709 | + | 0.676709i | ||||
\(633\) | −3.64313 | −0.144801 | ||||||||
\(634\) | 10.2392 | + | 10.2392i | 0.406649 | + | 0.406649i | ||||
\(635\) | − | 6.68698i | − | 0.265365i | ||||||
\(636\) | 7.45712i | 0.295694i | ||||||||
\(637\) | 4.51582 | + | 4.51582i | 0.178923 | + | 0.178923i | ||||
\(638\) | −0.194807 | −0.00771250 | ||||||||
\(639\) | −18.6414 | − | 18.6414i | −0.737443 | − | 0.737443i | ||||
\(640\) | −31.9746 | −1.26391 | ||||||||
\(641\) | −17.0293 | − | 17.0293i | −0.672617 | − | 0.672617i | 0.285702 | − | 0.958319i | \(-0.407773\pi\) |
−0.958319 | + | 0.285702i | \(0.907773\pi\) | |||||||
\(642\) | 2.36473 | + | 2.36473i | 0.0933284 | + | 0.0933284i | ||||
\(643\) | −8.99740 | + | 8.99740i | −0.354823 | + | 0.354823i | −0.861900 | − | 0.507078i | \(-0.830726\pi\) |
0.507078 | + | 0.861900i | \(0.330726\pi\) | |||||||
\(644\) | 7.77889 | − | 7.77889i | 0.306531 | − | 0.306531i | ||||
\(645\) | 7.30876 | − | 7.30876i | 0.287782 | − | 0.287782i | ||||
\(646\) | −0.700021 | −0.0275420 | ||||||||
\(647\) | − | 1.35102i | − | 0.0531141i | −0.999647 | − | 0.0265571i | \(-0.991546\pi\) | ||
0.999647 | − | 0.0265571i | \(-0.00845437\pi\) | |||||||
\(648\) | 2.42925i | 0.0954299i | ||||||||
\(649\) | −0.870335 | + | 0.870335i | −0.0341636 | + | 0.0341636i | ||||
\(650\) | −13.8948 | − | 13.8948i | −0.544999 | − | 0.544999i | ||||
\(651\) | 7.80046i | 0.305724i | ||||||||
\(652\) | 28.6907 | 1.12361 | ||||||||
\(653\) | 24.7668 | − | 24.7668i | 0.969199 | − | 0.969199i | −0.0303408 | − | 0.999540i | \(-0.509659\pi\) |
0.999540 | + | 0.0303408i | \(0.00965925\pi\) | |||||||
\(654\) | 10.9010i | 0.426262i | ||||||||
\(655\) | 65.4352 | 2.55677 | ||||||||
\(656\) | 3.54440 | − | 6.99584i | 0.138386 | − | 0.273142i | ||||
\(657\) | −6.44622 | −0.251491 | ||||||||
\(658\) | − | 0.559220i | − | 0.0218007i | ||||||
\(659\) | 7.69583 | − | 7.69583i | 0.299787 | − | 0.299787i | −0.541143 | − | 0.840930i | \(-0.682008\pi\) |
0.840930 | + | 0.541143i | \(0.182008\pi\) | |||||||
\(660\) | 5.28154 | 0.205583 | ||||||||
\(661\) | − | 19.9077i | − | 0.774322i | −0.922012 | − | 0.387161i | \(-0.873456\pi\) | ||
0.922012 | − | 0.387161i | \(-0.126544\pi\) | |||||||
\(662\) | 13.3103 | + | 13.3103i | 0.517318 | + | 0.517318i | ||||
\(663\) | −3.45844 | + | 3.45844i | −0.134315 | + | 0.134315i | ||||
\(664\) | − | 9.98732i | − | 0.387583i | ||||||
\(665\) | 3.93471i | 0.152582i | ||||||||
\(666\) | 6.77422 | 0.262496 | ||||||||
\(667\) | −1.23512 | + | 1.23512i | −0.0478240 | + | 0.0478240i | ||||
\(668\) | −8.18118 | + | 8.18118i | −0.316539 | + | 0.316539i | ||||
\(669\) | −16.2718 | + | 16.2718i | −0.629103 | + | 0.629103i | ||||
\(670\) | −10.0719 | − | 10.0719i | −0.389111 | − | 0.389111i | ||||
\(671\) | 2.24720 | + | 2.24720i | 0.0867523 | + | 0.0867523i | ||||
\(672\) | −5.84706 | −0.225555 | ||||||||
\(673\) | 10.2659 | + | 10.2659i | 0.395721 | + | 0.395721i | 0.876721 | − | 0.480999i | \(-0.159726\pi\) |
−0.480999 | + | 0.876721i | \(0.659726\pi\) | |||||||
\(674\) | −19.5960 | −0.754809 | ||||||||
\(675\) | −15.3219 | − | 15.3219i | −0.589740 | − | 0.589740i | ||||
\(676\) | − | 41.5376i | − | 1.59760i | ||||||
\(677\) | − | 1.97394i | − | 0.0758646i | −0.999280 | − | 0.0379323i | \(-0.987923\pi\) | ||
0.999280 | − | 0.0379323i | \(-0.0120771\pi\) | |||||||
\(678\) | 0.167034 | + | 0.167034i | 0.00641490 | + | 0.00641490i | ||||
\(679\) | 16.1037 | 0.618002 | ||||||||
\(680\) | −4.10193 | − | 4.10193i | −0.157302 | − | 0.157302i | ||||
\(681\) | −8.59321 | −0.329293 | ||||||||
\(682\) | −4.51973 | − | 4.51973i | −0.173069 | − | 0.173069i | ||||
\(683\) | 17.2095 | + | 17.2095i | 0.658503 | + | 0.658503i | 0.955026 | − | 0.296523i | \(-0.0958270\pi\) |
−0.296523 | + | 0.955026i | \(0.595827\pi\) | |||||||
\(684\) | 2.71921 | − | 2.71921i | 0.103971 | − | 0.103971i | ||||
\(685\) | −34.8875 | + | 34.8875i | −1.33298 | + | 1.33298i | ||||
\(686\) | −0.502517 | + | 0.502517i | −0.0191862 | + | 0.0191862i | ||||
\(687\) | −12.4381 | −0.474543 | ||||||||
\(688\) | 4.13817i | 0.157766i | ||||||||
\(689\) | − | 31.8064i | − | 1.21173i | ||||||
\(690\) | −11.3127 | + | 11.3127i | −0.430669 | + | 0.430669i | ||||
\(691\) | 28.5820 | + | 28.5820i | 1.08731 | + | 1.08731i | 0.995805 | + | 0.0915045i | \(0.0291676\pi\) |
0.0915045 | + | 0.995805i | \(0.470832\pi\) | |||||||
\(692\) | − | 8.44035i | − | 0.320854i | ||||||
\(693\) | −2.30605 | −0.0875997 | ||||||||
\(694\) | −15.4199 | + | 15.4199i | −0.585330 | + | 0.585330i | ||||
\(695\) | 50.5275i | 1.91662i | ||||||||
\(696\) | 0.590481 | 0.0223821 | ||||||||
\(697\) | 4.65305 | − | 1.52366i | 0.176247 | − | 0.0577126i | ||||
\(698\) | −15.6178 | −0.591144 | ||||||||
\(699\) | 1.18180i | 0.0446998i | ||||||||
\(700\) | −4.57680 | + | 4.57680i | −0.172987 | + | 0.172987i | ||||
\(701\) | 17.9766 | 0.678967 | 0.339484 | − | 0.940612i | \(-0.389748\pi\) | ||||
0.339484 | + | 0.940612i | \(0.389748\pi\) | |||||||
\(702\) | 22.7141i | 0.857287i | ||||||||
\(703\) | −4.34821 | − | 4.34821i | −0.163996 | − | 0.163996i | ||||
\(704\) | 1.38758 | − | 1.38758i | 0.0522963 | − | 0.0522963i | ||||
\(705\) | − | 2.40729i | − | 0.0906639i | ||||||
\(706\) | 6.72726i | 0.253184i | ||||||||
\(707\) | −19.0074 | −0.714849 | ||||||||
\(708\) | 1.12843 | − | 1.12843i | 0.0424088 | − | 0.0424088i | ||||
\(709\) | 4.78751 | − | 4.78751i | 0.179799 | − | 0.179799i | −0.611469 | − | 0.791268i | \(-0.709421\pi\) |
0.791268 | + | 0.611469i | \(0.209421\pi\) | |||||||
\(710\) | 20.2641 | − | 20.2641i | 0.760500 | − | 0.760500i | ||||
\(711\) | −13.6773 | − | 13.6773i | −0.512940 | − | 0.512940i | ||||
\(712\) | −12.2950 | − | 12.2950i | −0.460775 | − | 0.460775i | ||||
\(713\) | −57.3120 | −2.14635 | ||||||||
\(714\) | −0.384853 | − | 0.384853i | −0.0144028 | − | 0.0144028i | ||||
\(715\) | −22.5270 | −0.842463 | ||||||||
\(716\) | −5.54131 | − | 5.54131i | −0.207089 | − | 0.207089i | ||||
\(717\) | − | 29.5283i | − | 1.10275i | ||||||
\(718\) | − | 3.98021i | − | 0.148540i | ||||||
\(719\) | −1.21457 | − | 1.21457i | −0.0452958 | − | 0.0452958i | 0.684096 | − | 0.729392i | \(-0.260197\pi\) |
−0.729392 | + | 0.684096i | \(0.760197\pi\) | |||||||
\(720\) | 7.47037 | 0.278404 | ||||||||
\(721\) | −7.81646 | − | 7.81646i | −0.291100 | − | 0.291100i | ||||
\(722\) | −12.3234 | −0.458628 | ||||||||
\(723\) | 17.7542 | + | 17.7542i | 0.660288 | + | 0.660288i | ||||
\(724\) | 1.40421 | + | 1.40421i | 0.0521869 | + | 0.0521869i | ||||
\(725\) | 0.726698 | − | 0.726698i | 0.0269889 | − | 0.0269889i | ||||
\(726\) | 4.86512 | − | 4.86512i | 0.180561 | − | 0.180561i | ||||
\(727\) | 21.0605 | − | 21.0605i | 0.781090 | − | 0.781090i | −0.198925 | − | 0.980015i | \(-0.563745\pi\) |
0.980015 | + | 0.198925i | \(0.0637450\pi\) | |||||||
\(728\) | 15.8620 | 0.587886 | ||||||||
\(729\) | 13.0846i | 0.484613i | ||||||||
\(730\) | − | 7.00737i | − | 0.259354i | ||||||
\(731\) | −1.82682 | + | 1.82682i | −0.0675674 | + | 0.0675674i | ||||
\(732\) | −2.91359 | − | 2.91359i | −0.107690 | − | 0.107690i | ||||
\(733\) | − | 43.3590i | − | 1.60150i | −0.598997 | − | 0.800751i | \(-0.704434\pi\) | ||
0.598997 | − | 0.800751i | \(-0.295566\pi\) | |||||||
\(734\) | 14.5855 | 0.538361 | ||||||||
\(735\) | −2.16320 | + | 2.16320i | −0.0797909 | + | 0.0797909i | ||||
\(736\) | − | 42.9598i | − | 1.58352i | ||||||
\(737\) | −7.57790 | −0.279135 | ||||||||
\(738\) | 4.10673 | − | 8.10574i | 0.151171 | − | 0.298376i | ||||
\(739\) | 11.8805 | 0.437031 | 0.218516 | − | 0.975833i | \(-0.429879\pi\) | ||||
0.218516 | + | 0.975833i | \(0.429879\pi\) | |||||||
\(740\) | − | 21.7974i | − | 0.801287i | ||||||
\(741\) | 5.82636 | − | 5.82636i | 0.214037 | − | 0.214037i | ||||
\(742\) | 3.53940 | 0.129935 | ||||||||
\(743\) | − | 25.0523i | − | 0.919079i | −0.888157 | − | 0.459539i | \(-0.848015\pi\) | ||
0.888157 | − | 0.459539i | \(-0.151985\pi\) | |||||||
\(744\) | 13.6997 | + | 13.6997i | 0.502257 | + | 0.502257i | ||||
\(745\) | −23.7101 | + | 23.7101i | −0.868669 | + | 0.868669i | ||||
\(746\) | 20.9390i | 0.766630i | ||||||||
\(747\) | 8.02953i | 0.293785i | ||||||||
\(748\) | −1.32012 | −0.0482682 | ||||||||
\(749\) | −3.32228 | + | 3.32228i | −0.121393 | + | 0.121393i | ||||
\(750\) | −1.03058 | + | 1.03058i | −0.0376316 | + | 0.0376316i | ||||
\(751\) | 29.1301 | − | 29.1301i | 1.06297 | − | 1.06297i | 0.0650939 | − | 0.997879i | \(-0.479265\pi\) |
0.997879 | − | 0.0650939i | \(-0.0207347\pi\) | |||||||
\(752\) | 0.681497 | + | 0.681497i | 0.0248516 | + | 0.0248516i | ||||
\(753\) | 4.46326 | + | 4.46326i | 0.162650 | + | 0.162650i | ||||
\(754\) | −1.07730 | −0.0392329 | ||||||||
\(755\) | −15.8452 | − | 15.8452i | −0.576664 | − | 0.576664i | ||||
\(756\) | 7.48178 | 0.272110 | ||||||||
\(757\) | −31.7859 | − | 31.7859i | −1.15528 | − | 1.15528i | −0.985479 | − | 0.169799i | \(-0.945688\pi\) |
−0.169799 | − | 0.985479i | \(-0.554312\pi\) | |||||||
\(758\) | 15.5704i | 0.565543i | ||||||||
\(759\) | 8.51149i | 0.308948i | ||||||||
\(760\) | 6.91043 | + | 6.91043i | 0.250668 | + | 0.250668i | ||||
\(761\) | 9.81488 | 0.355789 | 0.177895 | − | 0.984050i | \(-0.443071\pi\) | ||||
0.177895 | + | 0.984050i | \(0.443071\pi\) | |||||||
\(762\) | −1.10187 | − | 1.10187i | −0.0399164 | − | 0.0399164i | ||||
\(763\) | −15.3151 | −0.554444 | ||||||||
\(764\) | 20.7645 | + | 20.7645i | 0.751232 | + | 0.751232i | ||||
\(765\) | 3.29784 | + | 3.29784i | 0.119234 | + | 0.119234i | ||||
\(766\) | 1.73355 | − | 1.73355i | 0.0626359 | − | 0.0626359i | ||||
\(767\) | −4.81301 | + | 4.81301i | −0.173788 | + | 0.173788i | ||||
\(768\) | −7.67555 | + | 7.67555i | −0.276967 | + | 0.276967i | ||||
\(769\) | 16.6127 | 0.599070 | 0.299535 | − | 0.954085i | \(-0.403169\pi\) | ||||
0.299535 | + | 0.954085i | \(0.403169\pi\) | |||||||
\(770\) | − | 2.50679i | − | 0.0903386i | ||||||
\(771\) | − | 21.6833i | − | 0.780906i | ||||||
\(772\) | −15.4657 | + | 15.4657i | −0.556622 | + | 0.556622i | ||||
\(773\) | 27.6692 | + | 27.6692i | 0.995192 | + | 0.995192i | 0.999988 | − | 0.00479668i | \(-0.00152684\pi\) |
−0.00479668 | + | 0.999988i | \(0.501527\pi\) | |||||||
\(774\) | 4.79470i | 0.172342i | ||||||||
\(775\) | 33.7202 | 1.21127 | ||||||||
\(776\) | 28.2825 | − | 28.2825i | 1.01528 | − | 1.01528i | ||||
\(777\) | − | 4.78106i | − | 0.171520i | ||||||
\(778\) | 2.15637 | 0.0773095 | ||||||||
\(779\) | −7.83890 | + | 2.56687i | −0.280858 | + | 0.0919677i | ||||
\(780\) | 29.2072 | 1.04579 | ||||||||
\(781\) | − | 15.2464i | − | 0.545558i | ||||||
\(782\) | 2.82761 | − | 2.82761i | 0.101115 | − | 0.101115i | ||||
\(783\) | −1.18794 | −0.0424537 | ||||||||
\(784\) | − | 1.22479i | − | 0.0437425i | ||||||
\(785\) | 1.78971 | + | 1.78971i | 0.0638773 | + | 0.0638773i | ||||
\(786\) | 10.7823 | − | 10.7823i | 0.384591 | − | 0.384591i | ||||
\(787\) | − | 16.2265i | − | 0.578414i | −0.957267 | − | 0.289207i | \(-0.906608\pi\) | ||
0.957267 | − | 0.289207i | \(-0.0933915\pi\) | |||||||
\(788\) | − | 32.1044i | − | 1.14367i | ||||||
\(789\) | 21.0654 | 0.749950 | ||||||||
\(790\) | 14.8679 | − | 14.8679i | 0.528978 | − | 0.528978i | ||||
\(791\) | −0.234671 | + | 0.234671i | −0.00834393 | + | 0.00834393i | ||||
\(792\) | −4.05006 | + | 4.05006i | −0.143913 | + | 0.143913i | ||||
\(793\) | 12.4272 | + | 12.4272i | 0.441302 | + | 0.441302i | ||||
\(794\) | −14.7431 | − | 14.7431i | −0.523214 | − | 0.523214i | ||||
\(795\) | 15.2362 | 0.540371 | ||||||||
\(796\) | 11.3199 | + | 11.3199i | 0.401223 | + | 0.401223i | ||||
\(797\) | 38.1120 | 1.35000 | 0.674998 | − | 0.737819i | \(-0.264144\pi\) | ||||
0.674998 | + | 0.737819i | \(0.264144\pi\) | |||||||
\(798\) | 0.648353 | + | 0.648353i | 0.0229515 | + | 0.0229515i | ||||
\(799\) | 0.601702i | 0.0212867i | ||||||||
\(800\) | 25.2759i | 0.893639i | ||||||||
\(801\) | 9.88485 | + | 9.88485i | 0.349264 | + | 0.349264i | ||||
\(802\) | −14.4488 | −0.510206 | ||||||||
\(803\) | −2.63610 | − | 2.63610i | −0.0930261 | − | 0.0930261i | ||||
\(804\) | 9.82506 | 0.346503 | ||||||||
\(805\) | −15.8936 | − | 15.8936i | −0.560175 | − | 0.560175i | ||||
\(806\) | −24.9944 | − | 24.9944i | −0.880390 | − | 0.880390i | ||||
\(807\) | −5.26409 | + | 5.26409i | −0.185305 | + | 0.185305i | ||||
\(808\) | −33.3823 | + | 33.3823i | −1.17438 | + | 1.17438i | ||||
\(809\) | 7.01453 | − | 7.01453i | 0.246618 | − | 0.246618i | −0.572963 | − | 0.819581i | \(-0.694206\pi\) |
0.819581 | + | 0.572963i | \(0.194206\pi\) | |||||||
\(810\) | 2.12306 | 0.0745968 | ||||||||
\(811\) | 34.2813i | 1.20378i | 0.798579 | + | 0.601890i | \(0.205585\pi\) | ||||
−0.798579 | + | 0.601890i | \(0.794415\pi\) | |||||||
\(812\) | 0.354851i | 0.0124528i | ||||||||
\(813\) | 5.55676 | − | 5.55676i | 0.194884 | − | 0.194884i | ||||
\(814\) | 2.77023 | + | 2.77023i | 0.0970966 | + | 0.0970966i | ||||
\(815\) | − | 58.6200i | − | 2.05337i | ||||||
\(816\) | 0.938006 | 0.0328368 | ||||||||
\(817\) | 3.07760 | − | 3.07760i | 0.107672 | − | 0.107672i | ||||
\(818\) | − | 9.10531i | − | 0.318360i | ||||||
\(819\) | −12.7526 | −0.445613 | ||||||||
\(820\) | −26.0818 | − | 13.2142i | −0.910816 | − | 0.461460i | ||||
\(821\) | −4.60780 | −0.160813 | −0.0804066 | − | 0.996762i | \(-0.525622\pi\) | ||||
−0.0804066 | + | 0.996762i | \(0.525622\pi\) | |||||||
\(822\) | 11.4974i | 0.401016i | ||||||||
\(823\) | 4.07777 | − | 4.07777i | 0.142142 | − | 0.142142i | −0.632455 | − | 0.774597i | \(-0.717953\pi\) |
0.774597 | + | 0.632455i | \(0.217953\pi\) | |||||||
\(824\) | −27.4557 | −0.956464 | ||||||||
\(825\) | − | 5.00784i | − | 0.174351i | ||||||
\(826\) | −0.535589 | − | 0.535589i | −0.0186355 | − | 0.0186355i | ||||
\(827\) | 8.20984 | − | 8.20984i | 0.285484 | − | 0.285484i | −0.549807 | − | 0.835291i | \(-0.685299\pi\) |
0.835291 | + | 0.549807i | \(0.185299\pi\) | |||||||
\(828\) | 21.9675i | 0.763424i | ||||||||
\(829\) | − | 3.68036i | − | 0.127824i | −0.997956 | − | 0.0639120i | \(-0.979642\pi\) | ||
0.997956 | − | 0.0639120i | \(-0.0203577\pi\) | |||||||
\(830\) | −8.72850 | −0.302971 | ||||||||
\(831\) | 23.3356 | − | 23.3356i | 0.809504 | − | 0.809504i | ||||
\(832\) | 7.67340 | − | 7.67340i | 0.266027 | − | 0.266027i | ||||
\(833\) | 0.540691 | − | 0.540691i | 0.0187338 | − | 0.0187338i | ||||
\(834\) | 8.32582 | + | 8.32582i | 0.288299 | + | 0.288299i | ||||
\(835\) | 16.7155 | + | 16.7155i | 0.578465 | + | 0.578465i | ||||
\(836\) | 2.22397 | 0.0769177 | ||||||||
\(837\) | −27.5615 | − | 27.5615i | −0.952665 | − | 0.952665i | ||||
\(838\) | −26.8159 | −0.926339 | ||||||||
\(839\) | −11.2335 | − | 11.2335i | −0.387823 | − | 0.387823i | 0.486087 | − | 0.873910i | \(-0.338424\pi\) |
−0.873910 | + | 0.486087i | \(0.838424\pi\) | |||||||
\(840\) | 7.59835i | 0.262168i | ||||||||
\(841\) | 28.9437i | 0.998057i | ||||||||
\(842\) | 2.14482 | + | 2.14482i | 0.0739154 | + | 0.0739154i | ||||
\(843\) | 3.42565 | 0.117986 | ||||||||
\(844\) | −3.84509 | − | 3.84509i | −0.132354 | − | 0.132354i | ||||
\(845\) | −84.8683 | −2.91956 | ||||||||
\(846\) | 0.789617 | + | 0.789617i | 0.0271476 | + | 0.0271476i | ||||
\(847\) | 6.83514 | + | 6.83514i | 0.234858 | + | 0.234858i | ||||
\(848\) | −4.31331 | + | 4.31331i | −0.148120 | + | 0.148120i | ||||
\(849\) | −11.0081 | + | 11.0081i | −0.377798 | + | 0.377798i | ||||
\(850\) | −1.66366 | + | 1.66366i | −0.0570631 | + | 0.0570631i | ||||
\(851\) | 35.1277 | 1.20416 | ||||||||
\(852\) | 19.7675i | 0.677225i | ||||||||
\(853\) | 11.4616i | 0.392438i | 0.980560 | + | 0.196219i | \(0.0628664\pi\) | ||||
−0.980560 | + | 0.196219i | \(0.937134\pi\) | |||||||
\(854\) | −1.38289 | + | 1.38289i | −0.0473215 | + | 0.0473215i | ||||
\(855\) | −5.55580 | − | 5.55580i | −0.190004 | − | 0.190004i | ||||
\(856\) | 11.6697i | 0.398861i | ||||||||
\(857\) | 8.11450 | 0.277186 | 0.138593 | − | 0.990349i | \(-0.455742\pi\) | ||||
0.138593 | + | 0.990349i | \(0.455742\pi\) | |||||||
\(858\) | −3.71196 | + | 3.71196i | −0.126724 | + | 0.126724i | ||||
\(859\) | − | 17.1782i | − | 0.586112i | −0.956095 | − | 0.293056i | \(-0.905328\pi\) | ||
0.956095 | − | 0.293056i | \(-0.0946723\pi\) | |||||||
\(860\) | 15.4279 | 0.526086 | ||||||||
\(861\) | −5.72082 | − | 2.89842i | −0.194965 | − | 0.0987779i | ||||
\(862\) | 16.6477 | 0.567023 | ||||||||
\(863\) | − | 23.7047i | − | 0.806918i | −0.914998 | − | 0.403459i | \(-0.867808\pi\) | ||
0.914998 | − | 0.403459i | \(-0.132192\pi\) | |||||||
\(864\) | 20.6595 | − | 20.6595i | 0.702851 | − | 0.702851i | ||||
\(865\) | −17.2451 | −0.586350 | ||||||||
\(866\) | − | 16.5870i | − | 0.563650i | ||||||
\(867\) | −11.6256 | − | 11.6256i | −0.394825 | − | 0.394825i | ||||
\(868\) | −8.23290 | + | 8.23290i | −0.279443 | + | 0.279443i | ||||
\(869\) | − | 11.1864i | − | 0.379471i | ||||||
\(870\) | − | 0.516056i | − | 0.0174959i | ||||||
\(871\) | −41.9063 | −1.41994 | ||||||||
\(872\) | −26.8975 | + | 26.8975i | −0.910865 | + | 0.910865i | ||||
\(873\) | −22.7383 | + | 22.7383i | −0.769576 | + | 0.769576i | ||||
\(874\) | −4.76362 | + | 4.76362i | −0.161132 | + | 0.161132i | ||||
\(875\) | −1.44790 | − | 1.44790i | −0.0489479 | − | 0.0489479i | ||||
\(876\) | 3.41782 | + | 3.41782i | 0.115477 | + | 0.115477i | ||||
\(877\) | 18.9099 | 0.638541 | 0.319271 | − | 0.947664i | \(-0.396562\pi\) | ||||
0.319271 | + | 0.947664i | \(0.396562\pi\) | |||||||
\(878\) | −15.6605 | − | 15.6605i | −0.528516 | − | 0.528516i | ||||
\(879\) | −4.05671 | −0.136829 | ||||||||
\(880\) | 3.05492 | + | 3.05492i | 0.102981 | + | 0.102981i | ||||
\(881\) | 46.8575i | 1.57867i | 0.613964 | + | 0.789334i | \(0.289574\pi\) | ||||
−0.613964 | + | 0.789334i | \(0.710426\pi\) | |||||||
\(882\) | − | 1.41910i | − | 0.0477837i | ||||||
\(883\) | 31.9349 | + | 31.9349i | 1.07470 | + | 1.07470i | 0.996975 | + | 0.0777213i | \(0.0247644\pi\) |
0.0777213 | + | 0.996975i | \(0.475236\pi\) | |||||||
\(884\) | −7.30034 | −0.245537 | ||||||||
\(885\) | −2.30557 | − | 2.30557i | −0.0775007 | − | 0.0775007i | ||||
\(886\) | 11.2726 | 0.378712 | ||||||||
\(887\) | −14.6121 | − | 14.6121i | −0.490626 | − | 0.490626i | 0.417877 | − | 0.908504i | \(-0.362774\pi\) |
−0.908504 | + | 0.417877i | \(0.862774\pi\) | |||||||
\(888\) | −8.39686 | − | 8.39686i | −0.281780 | − | 0.281780i | ||||
\(889\) | 1.54804 | − | 1.54804i | 0.0519197 | − | 0.0519197i | ||||
\(890\) | −10.7453 | + | 10.7453i | −0.360184 | + | 0.360184i | ||||
\(891\) | 0.798676 | − | 0.798676i | 0.0267566 | − | 0.0267566i | ||||
\(892\) | −34.3477 | −1.15005 | ||||||||
\(893\) | − | 1.01367i | − | 0.0339213i | ||||||
\(894\) | 7.81378i | 0.261332i | ||||||||
\(895\) | −11.3218 | + | 11.3218i | −0.378447 | + | 0.378447i | ||||
\(896\) | −7.40216 | − | 7.40216i | −0.247289 | − | 0.247289i | ||||
\(897\) | 47.0691i | 1.57159i | ||||||||
\(898\) | −28.4042 | −0.947861 | ||||||||
\(899\) | 1.30721 | − | 1.30721i | 0.0435978 | − | 0.0435978i | ||||
\(900\) | − | 12.9249i | − | 0.430829i | ||||||
\(901\) | −3.80827 | −0.126872 | ||||||||
\(902\) | 4.99414 | − | 1.63535i | 0.166287 | − | 0.0544511i | ||||
\(903\) | 3.38397 | 0.112611 | ||||||||
\(904\) | 0.824292i | 0.0274155i | ||||||||
\(905\) | 2.86903 | − | 2.86903i | 0.0953699 | − | 0.0953699i | ||||
\(906\) | −5.22186 | −0.173485 | ||||||||
\(907\) | − | 40.7867i | − | 1.35430i | −0.735844 | − | 0.677151i | \(-0.763215\pi\) | ||
0.735844 | − | 0.677151i | \(-0.236785\pi\) | |||||||
\(908\) | −9.06960 | − | 9.06960i | −0.300985 | − | 0.300985i | ||||
\(909\) | 26.8384 | − | 26.8384i | 0.890175 | − | 0.890175i | ||||
\(910\) | − | 13.8627i | − | 0.459545i | ||||||
\(911\) | − | 13.4531i | − | 0.445721i | −0.974850 | − | 0.222860i | \(-0.928461\pi\) | ||
0.974850 | − | 0.222860i | \(-0.0715394\pi\) | |||||||
\(912\) | −1.58024 | −0.0523269 | ||||||||
\(913\) | −3.28358 | + | 3.28358i | −0.108671 | + | 0.108671i | ||||
\(914\) | 16.7398 | − | 16.7398i | 0.553704 | − | 0.553704i | ||||
\(915\) | −5.95297 | + | 5.95297i | −0.196799 | + | 0.196799i | ||||
\(916\) | −13.1276 | − | 13.1276i | −0.433749 | − | 0.433749i | ||||
\(917\) | 15.1483 | + | 15.1483i | 0.500242 | + | 0.500242i | ||||
\(918\) | 2.71961 | 0.0897607 | ||||||||
\(919\) | 2.27820 | + | 2.27820i | 0.0751510 | + | 0.0751510i | 0.743683 | − | 0.668532i | \(-0.233077\pi\) |
−0.668532 | + | 0.743683i | \(0.733077\pi\) | |||||||
\(920\) | −55.8270 | −1.84056 | ||||||||
\(921\) | 3.07544 | + | 3.07544i | 0.101339 | + | 0.101339i | ||||
\(922\) | 1.57372i | 0.0518278i | ||||||||
\(923\) | − | 84.3134i | − | 2.77521i | ||||||
\(924\) | 1.22268 | + | 1.22268i | 0.0402233 | + | 0.0402233i | ||||
\(925\) | −20.6678 | −0.679553 | ||||||||
\(926\) | −13.3253 | − | 13.3253i | −0.437897 | − | 0.437897i | ||||
\(927\) | 22.0736 | 0.724992 | ||||||||
\(928\) | 0.979854 | + | 0.979854i | 0.0321653 | + | 0.0321653i | ||||
\(929\) | 10.6978 | + | 10.6978i | 0.350983 | + | 0.350983i | 0.860475 | − | 0.509492i | \(-0.170167\pi\) |
−0.509492 | + | 0.860475i | \(0.670167\pi\) | |||||||
\(930\) | 11.9730 | − | 11.9730i | 0.392610 | − | 0.392610i | ||||
\(931\) | −0.910890 | + | 0.910890i | −0.0298532 | + | 0.0298532i | ||||
\(932\) | −1.24732 | + | 1.24732i | −0.0408572 | + | 0.0408572i | ||||
\(933\) | 1.40736 | 0.0460750 | ||||||||
\(934\) | 8.93458i | 0.292348i | ||||||||
\(935\) | 2.69722i | 0.0882086i | ||||||||
\(936\) | −22.3971 | + | 22.3971i | −0.732072 | + | 0.732072i | ||||
\(937\) | 0.760139 | + | 0.760139i | 0.0248326 | + | 0.0248326i | 0.719414 | − | 0.694581i | \(-0.244410\pi\) |
−0.694581 | + | 0.719414i | \(0.744410\pi\) | |||||||
\(938\) | − | 4.66331i | − | 0.152262i | ||||||
\(939\) | 27.8105 | 0.907562 | ||||||||
\(940\) | 2.54075 | − | 2.54075i | 0.0828701 | − | 0.0828701i | ||||
\(941\) | − | 12.2163i | − | 0.398239i | −0.979975 | − | 0.199119i | \(-0.936192\pi\) | ||
0.979975 | − | 0.199119i | \(-0.0638082\pi\) | |||||||
\(942\) | 0.589808 | 0.0192170 | ||||||||
\(943\) | 21.2954 | − | 42.0323i | 0.693475 | − | 1.36876i | ||||
\(944\) | 1.30540 | 0.0424870 | ||||||||
\(945\) | − | 15.2865i | − | 0.497271i | ||||||
\(946\) | −1.96073 | + | 1.96073i | −0.0637489 | + | 0.0637489i | ||||
\(947\) | 30.2465 | 0.982879 | 0.491439 | − | 0.870912i | \(-0.336471\pi\) | ||||
0.491439 | + | 0.870912i | \(0.336471\pi\) | |||||||
\(948\) | 14.5036i | 0.471055i | ||||||||
\(949\) | −14.5778 | − | 14.5778i | −0.473217 | − | 0.473217i | ||||
\(950\) | 2.80273 | − | 2.80273i | 0.0909327 | − | 0.0909327i | ||||
\(951\) | 20.4077i | 0.661764i | ||||||||
\(952\) | − | 1.89920i | − | 0.0615535i | ||||||
\(953\) | 5.19643 | 0.168329 | 0.0841645 | − | 0.996452i | \(-0.473178\pi\) | ||||
0.0841645 | + | 0.996452i | \(0.473178\pi\) | |||||||
\(954\) | −4.99762 | + | 4.99762i | −0.161804 | + | 0.161804i | ||||
\(955\) | 42.4254 | − | 42.4254i | 1.37285 | − | 1.37285i | ||||
\(956\) | 31.1652 | − | 31.1652i | 1.00796 | − | 1.00796i | ||||
\(957\) | −0.194135 | − | 0.194135i | −0.00627550 | − | 0.00627550i | ||||
\(958\) | 5.77216 | + | 5.77216i | 0.186490 | + | 0.186490i | ||||
\(959\) | −16.1530 | −0.521606 | ||||||||
\(960\) | 3.67577 | + | 3.67577i | 0.118635 | + | 0.118635i | ||||
\(961\) | 29.6570 | 0.956677 | ||||||||
\(962\) | 15.3196 | + | 15.3196i | 0.493923 | + | 0.493923i | ||||
\(963\) | − | 9.38208i | − | 0.302333i | ||||||
\(964\) | 37.4770i | 1.20705i | ||||||||
\(965\) | 31.5990 | + | 31.5990i | 1.01721 | + | 1.01721i | ||||
\(966\) | −5.23782 | −0.168524 | ||||||||
\(967\) | −7.46963 | − | 7.46963i | −0.240207 | − | 0.240207i | 0.576729 | − | 0.816936i | \(-0.304329\pi\) |
−0.816936 | + | 0.576729i | \(0.804329\pi\) | |||||||
\(968\) | 24.0088 | 0.771671 | ||||||||
\(969\) | −0.697606 | − | 0.697606i | −0.0224103 | − | 0.0224103i | ||||
\(970\) | −24.7177 | − | 24.7177i | −0.793637 | − | 0.793637i | ||||
\(971\) | 0.980515 | − | 0.980515i | 0.0314662 | − | 0.0314662i | −0.691199 | − | 0.722665i | \(-0.742917\pi\) |
0.722665 | + | 0.691199i | \(0.242917\pi\) | |||||||
\(972\) | −16.9068 | + | 16.9068i | −0.542285 | + | 0.542285i | ||||
\(973\) | −11.6972 | + | 11.6972i | −0.374994 | + | 0.374994i | ||||
\(974\) | 7.51660 | 0.240847 | ||||||||
\(975\) | − | 27.6937i | − | 0.886908i | ||||||
\(976\) | − | 3.37053i | − | 0.107888i | ||||||
\(977\) | 12.4278 | − | 12.4278i | 0.397601 | − | 0.397601i | −0.479785 | − | 0.877386i | \(-0.659285\pi\) |
0.877386 | + | 0.479785i | \(0.159285\pi\) | |||||||
\(978\) | −9.65927 | − | 9.65927i | −0.308870 | − | 0.308870i | ||||
\(979\) | 8.08458i | 0.258384i | ||||||||
\(980\) | −4.56625 | −0.145863 | ||||||||
\(981\) | 21.6249 | − | 21.6249i | 0.690429 | − | 0.690429i | ||||
\(982\) | 26.7565i | 0.853835i | ||||||||
\(983\) | 33.5929 | 1.07145 | 0.535724 | − | 0.844393i | \(-0.320039\pi\) | ||||
0.535724 | + | 0.844393i | \(0.320039\pi\) | |||||||
\(984\) | −15.1377 | + | 4.95690i | −0.482574 | + | 0.158020i | ||||
\(985\) | −65.5948 | −2.09002 | ||||||||
\(986\) | 0.128988i | 0.00410781i | ||||||||
\(987\) | 0.557291 | − | 0.557291i | 0.0177388 | − | 0.0177388i | ||||
\(988\) | 12.2987 | 0.391274 | ||||||||
\(989\) | 24.8629i | 0.790594i | ||||||||
\(990\) | 3.53958 | + | 3.53958i | 0.112495 | + | 0.112495i | ||||
\(991\) | −8.44631 | + | 8.44631i | −0.268306 | + | 0.268306i | −0.828417 | − | 0.560111i | \(-0.810758\pi\) |
0.560111 | + | 0.828417i | \(0.310758\pi\) | |||||||
\(992\) | 45.4672i | 1.44358i | ||||||||
\(993\) | 26.5287i | 0.841861i | ||||||||
\(994\) | 9.38234 | 0.297590 | ||||||||
\(995\) | 23.1284 | − | 23.1284i | 0.733221 | − | 0.733221i | ||||
\(996\) | 4.25730 | − | 4.25730i | 0.134898 | − | 0.134898i | ||||
\(997\) | −24.4373 | + | 24.4373i | −0.773938 | + | 0.773938i | −0.978793 | − | 0.204854i | \(-0.934328\pi\) |
0.204854 | + | 0.978793i | \(0.434328\pi\) | |||||||
\(998\) | −1.36530 | − | 1.36530i | −0.0432177 | − | 0.0432177i | ||||
\(999\) | 16.8930 | + | 16.8930i | 0.534471 | + | 0.534471i |
(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 | 287.2.f.a.155.9 | yes | 40 | |
41.9 | even | 4 | inner | 287.2.f.a.50.12 | ✓ | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.2.f.a.50.12 | ✓ | 40 | 41.9 | even | 4 | inner | |
287.2.f.a.155.9 | yes | 40 | 1.1 | even | 1 | trivial |