Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [261,3,Mod(10,261)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(261, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([0, 23]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("261.10");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 261 = 3^{2} \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 261.s (of order \(28\), degree \(12\), 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: | \(7.11173489980\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{28})\) |
Twist minimal: | no (minimal twist has level 29) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 10.4 | ||
Character | \(\chi\) | \(=\) | 261.10 |
Dual form | 261.3.s.a.235.4 |
$q$-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 \(\left(\mathbb{Z}/261\mathbb{Z}\right)^\times\).
\(n\) | \(118\) | \(146\) |
\(\chi(n)\) | \(e\left(\frac{23}{28}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.24379 | − | 2.03821i | 1.62189 | − | 1.01910i | 0.657926 | − | 0.753082i | \(-0.271434\pi\) |
0.963967 | − | 0.266021i | \(-0.0857091\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 4.63233 | − | 9.61914i | 1.15808 | − | 2.40479i | ||||
\(5\) | 5.12808 | + | 1.17045i | 1.02562 | + | 0.234090i | 0.702059 | − | 0.712119i | \(-0.252264\pi\) |
0.323557 | + | 0.946209i | \(0.395121\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −6.56728 | + | 3.16264i | −0.938183 | + | 0.451805i | −0.839528 | − | 0.543317i | \(-0.817168\pi\) |
−0.0986550 | + | 0.995122i | \(0.531454\pi\) | |||||||
\(8\) | −2.86375 | − | 25.4165i | −0.357969 | − | 3.17707i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 19.0200 | − | 6.65539i | 1.90200 | − | 0.665539i | ||||
\(11\) | 0.480789 | − | 4.26712i | 0.0437081 | − | 0.387920i | −0.952745 | − | 0.303771i | \(-0.901754\pi\) |
0.996453 | − | 0.0841491i | \(-0.0268172\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.73044 | − | 2.17745i | 0.210034 | − | 0.167496i | −0.512823 | − | 0.858494i | \(-0.671400\pi\) |
0.722856 | + | 0.690998i | \(0.242829\pi\) | |||||||
\(14\) | −14.8568 | + | 23.6444i | −1.06120 | + | 1.68888i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −34.4669 | − | 43.2201i | −2.15418 | − | 2.70126i | ||||
\(17\) | 6.15599 | + | 6.15599i | 0.362117 | + | 0.362117i | 0.864592 | − | 0.502475i | \(-0.167577\pi\) |
−0.502475 | + | 0.864592i | \(0.667577\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 5.18330 | + | 14.8130i | 0.272806 | + | 0.779633i | 0.996030 | + | 0.0890201i | \(0.0283736\pi\) |
−0.723224 | + | 0.690613i | \(0.757341\pi\) | |||||||
\(20\) | 35.0137 | − | 43.9058i | 1.75069 | − | 2.19529i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −7.13770 | − | 14.8216i | −0.324441 | − | 0.673708i | ||||
\(23\) | 3.58915 | + | 15.7251i | 0.156050 | + | 0.683699i | 0.991055 | + | 0.133457i | \(0.0426077\pi\) |
−0.835005 | + | 0.550243i | \(0.814535\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.40304 | + | 1.15724i | 0.0961215 | + | 0.0462897i | ||||
\(26\) | 4.41886 | − | 12.6284i | 0.169956 | − | 0.485707i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 77.8220i | 2.77936i | ||||||||
\(29\) | 0.661611 | + | 28.9925i | 0.0228142 | + | 0.999740i | ||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −34.6988 | + | 21.8027i | −1.11931 | + | 0.703312i | −0.958902 | − | 0.283738i | \(-0.908425\pi\) |
−0.160413 | + | 0.987050i | \(0.551283\pi\) | |||||||
\(32\) | −103.327 | − | 36.1556i | −3.22896 | − | 1.12986i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 32.5159 | + | 7.42154i | 0.956350 | + | 0.218281i | ||||
\(35\) | −37.3793 | + | 8.53157i | −1.06798 | + | 0.243759i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.62751 | − | 49.9455i | −0.152095 | − | 1.34988i | −0.805376 | − | 0.592764i | \(-0.798037\pi\) |
0.653281 | − | 0.757115i | \(-0.273392\pi\) | |||||||
\(38\) | 47.0056 | + | 37.4857i | 1.23699 | + | 0.986465i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 15.0632 | − | 133.690i | 0.376581 | − | 3.34225i | ||||
\(41\) | 0.940907 | − | 0.940907i | 0.0229490 | − | 0.0229490i | −0.695539 | − | 0.718488i | \(-0.744834\pi\) |
0.718488 | + | 0.695539i | \(0.244834\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −10.2578 | + | 16.3252i | −0.238554 | + | 0.379657i | −0.944448 | − | 0.328661i | \(-0.893403\pi\) |
0.705894 | + | 0.708318i | \(0.250546\pi\) | |||||||
\(44\) | −38.8189 | − | 24.3915i | −0.882247 | − | 0.554352i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 43.6934 | + | 43.6934i | 0.949857 | + | 0.949857i | ||||
\(47\) | 59.1758 | + | 6.66751i | 1.25906 | + | 0.141862i | 0.716160 | − | 0.697936i | \(-0.245898\pi\) |
0.542899 | + | 0.839798i | \(0.317327\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.57590 | − | 3.23008i | 0.0525694 | − | 0.0659199i | ||||
\(50\) | 10.1536 | − | 1.14404i | 0.203073 | − | 0.0228808i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −8.29691 | − | 36.3511i | −0.159556 | − | 0.699060i | ||||
\(53\) | 8.89009 | − | 38.9500i | 0.167738 | − | 0.734906i | −0.819161 | − | 0.573564i | \(-0.805561\pi\) |
0.986898 | − | 0.161342i | \(-0.0515823\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 7.45998 | − | 21.3194i | 0.135636 | − | 0.387625i | ||||
\(56\) | 99.1903 | + | 157.860i | 1.77125 | + | 2.81894i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 61.2387 | + | 92.6968i | 1.05584 | + | 1.59822i | ||||
\(59\) | −6.74786 | −0.114371 | −0.0571853 | − | 0.998364i | \(-0.518213\pi\) | ||||
−0.0571853 | + | 0.998364i | \(0.518213\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 74.0694 | + | 25.9180i | 1.21425 | + | 0.424885i | 0.860014 | − | 0.510270i | \(-0.170454\pi\) |
0.354238 | + | 0.935155i | \(0.384740\pi\) | |||||||
\(62\) | −68.1170 | + | 141.446i | −1.09866 | + | 2.28139i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −193.284 | + | 44.1159i | −3.02007 | + | 0.689311i | ||||
\(65\) | 16.5505 | − | 7.97030i | 0.254623 | − | 0.122620i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 29.6632 | + | 23.6556i | 0.442735 | + | 0.353069i | 0.819343 | − | 0.573303i | \(-0.194338\pi\) |
−0.376609 | + | 0.926373i | \(0.622910\pi\) | |||||||
\(68\) | 87.7319 | − | 30.6987i | 1.29018 | − | 0.451452i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −103.861 | + | 103.861i | −1.48373 | + | 1.48373i | ||||
\(71\) | −65.3239 | + | 52.0941i | −0.920055 | + | 0.733719i | −0.964164 | − | 0.265308i | \(-0.914526\pi\) |
0.0441092 | + | 0.999027i | \(0.485955\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −38.0089 | − | 23.8825i | −0.520669 | − | 0.327158i | 0.245926 | − | 0.969289i | \(-0.420908\pi\) |
−0.766595 | + | 0.642130i | \(0.778051\pi\) | |||||||
\(74\) | −120.054 | − | 150.543i | −1.62235 | − | 2.03436i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 166.499 | + | 18.7600i | 2.19078 | + | 0.246842i | ||||
\(77\) | 10.3379 | + | 29.5439i | 0.134258 | + | 0.383687i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −120.957 | + | 13.6286i | −1.53111 | + | 0.172514i | −0.836938 | − | 0.547298i | \(-0.815656\pi\) |
−0.694169 | + | 0.719813i | \(0.744228\pi\) | |||||||
\(80\) | −126.162 | − | 261.978i | −1.57703 | − | 3.27473i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.13434 | − | 4.96987i | 0.0138334 | − | 0.0606081i | ||||
\(83\) | −7.07418 | − | 3.40675i | −0.0852311 | − | 0.0410451i | 0.390783 | − | 0.920483i | \(-0.372204\pi\) |
−0.476014 | + | 0.879438i | \(0.657919\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 24.3631 | + | 38.7737i | 0.286625 | + | 0.456161i | ||||
\(86\) | 73.8632i | 0.858875i | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −109.832 | −1.24809 | ||||||||
\(89\) | 94.3960 | − | 59.3130i | 1.06063 | − | 0.666438i | 0.115558 | − | 0.993301i | \(-0.463134\pi\) |
0.945072 | + | 0.326863i | \(0.105992\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −11.0451 | + | 22.9353i | −0.121374 | + | 0.252036i | ||||
\(92\) | 167.888 | + | 38.3193i | 1.82487 | + | 0.416515i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 205.543 | − | 98.9845i | 2.18663 | − | 1.05303i | ||||
\(95\) | 9.24248 | + | 82.0292i | 0.0972892 | + | 0.863466i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −13.0335 | + | 4.56061i | −0.134366 | + | 0.0470166i | −0.396624 | − | 0.917981i | \(-0.629818\pi\) |
0.262259 | + | 0.964998i | \(0.415533\pi\) | |||||||
\(98\) | 1.77211 | − | 15.7279i | 0.0180827 | − | 0.160489i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 22.2633 | − | 17.7544i | 0.222633 | − | 0.177544i | ||||
\(101\) | 63.8690 | − | 101.647i | 0.632366 | − | 1.00640i | −0.364794 | − | 0.931088i | \(-0.618860\pi\) |
0.997160 | − | 0.0753164i | \(-0.0239967\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −26.7668 | − | 33.5645i | −0.259872 | − | 0.325869i | 0.634729 | − | 0.772734i | \(-0.281112\pi\) |
−0.894601 | + | 0.446866i | \(0.852540\pi\) | |||||||
\(104\) | −63.1625 | − | 63.1625i | −0.607332 | − | 0.607332i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −50.5506 | − | 144.465i | −0.476893 | − | 1.36288i | ||||
\(107\) | −3.07678 | + | 3.85816i | −0.0287549 | + | 0.0360575i | −0.796001 | − | 0.605295i | \(-0.793055\pi\) |
0.767246 | + | 0.641353i | \(0.221626\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −91.6589 | − | 190.332i | −0.840907 | − | 1.74616i | −0.642883 | − | 0.765964i | \(-0.722262\pi\) |
−0.198024 | − | 0.980197i | \(-0.563452\pi\) | |||||||
\(110\) | −19.2548 | − | 84.3606i | −0.175043 | − | 0.766914i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 363.043 | + | 174.833i | 3.24146 | + | 1.56100i | ||||
\(113\) | −32.9621 | + | 94.2003i | −0.291700 | + | 0.833631i | 0.701015 | + | 0.713146i | \(0.252730\pi\) |
−0.992715 | + | 0.120484i | \(0.961555\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 84.8404i | 0.737743i | ||||||||
\(116\) | 281.947 | + | 127.939i | 2.43058 | + | 1.10292i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −21.8886 | + | 13.7535i | −0.185497 | + | 0.116555i | ||||
\(119\) | −59.8973 | − | 20.9590i | −0.503338 | − | 0.176126i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 99.9891 | + | 22.8219i | 0.826356 | + | 0.188610i | ||||
\(122\) | 293.092 | − | 66.8963i | 2.40239 | − | 0.548330i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 48.9868 | + | 434.770i | 0.395055 | + | 3.50621i | ||||
\(125\) | −91.8416 | − | 73.2412i | −0.734733 | − | 0.585930i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 12.5115 | − | 111.043i | 0.0985161 | − | 0.874355i | −0.843121 | − | 0.537724i | \(-0.819284\pi\) |
0.941637 | − | 0.336630i | \(-0.109287\pi\) | |||||||
\(128\) | −227.428 | + | 227.428i | −1.77678 | + | 1.77678i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 37.4412 | − | 59.5873i | 0.288009 | − | 0.458364i | ||||
\(131\) | −162.714 | − | 102.240i | −1.24209 | − | 0.780456i | −0.259409 | − | 0.965768i | \(-0.583528\pi\) |
−0.982680 | + | 0.185311i | \(0.940671\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −80.8884 | − | 80.8884i | −0.608184 | − | 0.608184i | ||||
\(134\) | 144.436 | + | 16.2741i | 1.07788 | + | 0.121448i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 138.835 | − | 174.093i | 1.02084 | − | 1.28010i | ||||
\(137\) | −211.263 | + | 23.8036i | −1.54206 | + | 0.173749i | −0.841664 | − | 0.540002i | \(-0.818424\pi\) |
−0.700400 | + | 0.713750i | \(0.746995\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −44.5635 | − | 195.245i | −0.320601 | − | 1.40464i | −0.836487 | − | 0.547986i | \(-0.815395\pi\) |
0.515887 | − | 0.856657i | \(-0.327463\pi\) | |||||||
\(140\) | −91.0868 | + | 399.077i | −0.650620 | + | 2.85055i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −105.718 | + | 302.126i | −0.744495 | + | 2.12764i | ||||
\(143\) | −7.97868 | − | 12.6980i | −0.0557950 | − | 0.0887972i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −30.5414 | + | 149.450i | −0.210631 | + | 1.03069i | ||||
\(146\) | −171.970 | −1.17788 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −506.502 | − | 177.233i | −3.42231 | − | 1.19752i | ||||
\(149\) | 113.849 | − | 236.410i | 0.764087 | − | 1.58664i | −0.0450238 | − | 0.998986i | \(-0.514336\pi\) |
0.809110 | − | 0.587657i | \(-0.199949\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 126.068 | − | 28.7742i | 0.834887 | − | 0.190558i | 0.216353 | − | 0.976315i | \(-0.430584\pi\) |
0.618534 | + | 0.785758i | \(0.287727\pi\) | |||||||
\(152\) | 361.652 | − | 174.162i | 2.37929 | − | 1.14581i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 93.7505 | + | 74.7635i | 0.608769 | + | 0.485477i | ||||
\(155\) | −203.457 | + | 71.1927i | −1.31263 | + | 0.459308i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −68.2720 | + | 68.2720i | −0.434854 | + | 0.434854i | −0.890276 | − | 0.455422i | \(-0.849488\pi\) |
0.455422 | + | 0.890276i | \(0.349488\pi\) | |||||||
\(158\) | −364.582 | + | 290.744i | −2.30748 | + | 1.84016i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −487.550 | − | 306.348i | −3.04719 | − | 1.91467i | ||||
\(161\) | −73.3037 | − | 91.9199i | −0.455302 | − | 0.570931i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −91.2607 | − | 10.2826i | −0.559882 | − | 0.0630835i | −0.172511 | − | 0.985008i | \(-0.555188\pi\) |
−0.387371 | + | 0.921924i | \(0.626617\pi\) | |||||||
\(164\) | −4.69212 | − | 13.4093i | −0.0286105 | − | 0.0817641i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −29.8908 | + | 3.36788i | −0.180065 | + | 0.0202885i | ||||
\(167\) | 49.7396 | + | 103.285i | 0.297842 | + | 0.618475i | 0.995158 | − | 0.0982887i | \(-0.0313368\pi\) |
−0.697316 | + | 0.716764i | \(0.745623\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −34.8920 | + | 152.872i | −0.206462 | + | 0.904568i | ||||
\(170\) | 158.058 | + | 76.1165i | 0.929751 | + | 0.447744i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 109.517 | + | 174.296i | 0.636728 | + | 1.01335i | ||||
\(173\) | 85.8359i | 0.496161i | 0.968739 | + | 0.248081i | \(0.0797998\pi\) | ||||
−0.968739 | + | 0.248081i | \(0.920200\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −19.4414 | −0.111093 | ||||||||
\(176\) | −200.997 | + | 126.295i | −1.14203 | + | 0.717584i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 185.309 | − | 384.797i | 1.04106 | − | 2.16178i | ||||
\(179\) | 82.0781 | + | 18.7338i | 0.458537 | + | 0.104658i | 0.445549 | − | 0.895258i | \(-0.353009\pi\) |
0.0129880 | + | 0.999916i | \(0.495866\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −34.3159 | + | 16.5257i | −0.189591 | + | 0.0913021i | −0.526271 | − | 0.850317i | \(-0.676410\pi\) |
0.336680 | + | 0.941619i | \(0.390696\pi\) | |||||||
\(182\) | 10.9191 | + | 96.9094i | 0.0599949 | + | 0.532469i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 389.399 | − | 136.256i | 2.11630 | − | 0.740524i | ||||
\(185\) | 29.6005 | − | 262.712i | 0.160003 | − | 1.42006i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 29.2281 | − | 23.3086i | 0.156300 | − | 0.124645i | ||||
\(188\) | 338.258 | − | 538.334i | 1.79924 | − | 2.86348i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 197.173 | + | 247.247i | 1.03775 | + | 1.30130i | ||||
\(191\) | 189.648 | + | 189.648i | 0.992922 | + | 0.992922i | 0.999975 | − | 0.00705344i | \(-0.00224520\pi\) |
−0.00705344 | + | 0.999975i | \(0.502245\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 58.8988 | + | 168.323i | 0.305175 | + | 0.872141i | 0.989701 | + | 0.143152i | \(0.0457237\pi\) |
−0.684525 | + | 0.728989i | \(0.739991\pi\) | |||||||
\(194\) | −32.9823 | + | 41.3585i | −0.170012 | + | 0.213188i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −19.1381 | − | 39.7408i | −0.0976436 | − | 0.202759i | ||||
\(197\) | 32.7329 | + | 143.412i | 0.166157 | + | 0.727980i | 0.987509 | + | 0.157560i | \(0.0503626\pi\) |
−0.821353 | + | 0.570421i | \(0.806780\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −192.699 | − | 92.7988i | −0.968335 | − | 0.466326i | −0.118257 | − | 0.992983i | \(-0.537731\pi\) |
−0.850078 | + | 0.526657i | \(0.823445\pi\) | |||||||
\(200\) | 22.5314 | − | 64.3909i | 0.112657 | − | 0.321955i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | − | 459.899i | − | 2.27673i | ||||||
\(203\) | −96.0375 | − | 188.309i | −0.473091 | − | 0.927631i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 5.92633 | − | 3.72376i | 0.0289089 | − | 0.0181647i | ||||
\(206\) | −155.237 | − | 54.3198i | −0.753578 | − | 0.263688i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −188.220 | − | 42.9599i | −0.904901 | − | 0.206538i | ||||
\(209\) | 65.7011 | − | 14.9958i | 0.314359 | − | 0.0717504i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.09661 | − | 9.73273i | −0.00519723 | − | 0.0461267i | 0.990846 | − | 0.134998i | \(-0.0431027\pi\) |
−0.996043 | + | 0.0888710i | \(0.971674\pi\) | |||||||
\(212\) | −333.484 | − | 265.945i | −1.57304 | − | 1.25446i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −2.11669 | + | 18.7861i | −0.00989107 | + | 0.0877857i | ||||
\(215\) | −71.7109 | + | 71.7109i | −0.333539 | + | 0.333539i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 158.923 | − | 252.924i | 0.732362 | − | 1.16555i | ||||
\(218\) | −685.257 | − | 430.576i | −3.14338 | − | 1.97512i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −170.517 | − | 170.517i | −0.775078 | − | 0.775078i | ||||
\(221\) | 30.2129 | + | 3.40418i | 0.136710 | + | 0.0154035i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −200.825 | + | 251.827i | −0.900562 | + | 1.12927i | 0.0905034 | + | 0.995896i | \(0.471152\pi\) |
−0.991066 | + | 0.133373i | \(0.957419\pi\) | |||||||
\(224\) | 792.923 | − | 89.3410i | 3.53984 | − | 0.398844i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 85.0776 | + | 372.749i | 0.376449 | + | 1.64933i | ||||
\(227\) | 57.8450 | − | 253.436i | 0.254824 | − | 1.11646i | −0.671879 | − | 0.740661i | \(-0.734512\pi\) |
0.926703 | − | 0.375796i | \(-0.122630\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 96.5555 | − | 275.940i | 0.421640 | − | 1.20498i | −0.515764 | − | 0.856731i | \(-0.672492\pi\) |
0.937403 | − | 0.348246i | \(-0.113223\pi\) | |||||||
\(230\) | 172.922 | + | 275.204i | 0.751836 | + | 1.19654i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 734.993 | − | 99.8431i | 3.16807 | − | 0.430358i | ||||
\(233\) | 8.24553 | 0.0353885 | 0.0176943 | − | 0.999843i | \(-0.494367\pi\) | ||||
0.0176943 | + | 0.999843i | \(0.494367\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 295.654 | + | 103.454i | 1.25810 | + | 0.440229i | ||||
\(236\) | −31.2584 | + | 64.9086i | −0.132451 | + | 0.275037i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −237.013 | + | 54.0966i | −0.995851 | + | 0.227297i | ||||
\(239\) | 144.107 | − | 69.3984i | 0.602959 | − | 0.290370i | −0.107392 | − | 0.994217i | \(-0.534250\pi\) |
0.710352 | + | 0.703847i | \(0.248536\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −85.1309 | − | 67.8896i | −0.353240 | − | 0.281700i | 0.430752 | − | 0.902470i | \(-0.358248\pi\) |
−0.783992 | + | 0.620771i | \(0.786820\pi\) | |||||||
\(242\) | 370.859 | − | 129.769i | 1.53248 | − | 0.536236i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 592.423 | − | 592.423i | 2.42796 | − | 2.42796i | ||||
\(245\) | 16.9901 | − | 13.5491i | 0.0693472 | − | 0.0553026i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 46.4073 | + | 29.1597i | 0.187884 | + | 0.118055i | ||||
\(248\) | 653.517 | + | 819.484i | 2.63515 | + | 3.30437i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −447.195 | − | 50.3868i | −1.78878 | − | 0.201547i | ||||
\(251\) | −3.89158 | − | 11.1215i | −0.0155043 | − | 0.0443088i | 0.935871 | − | 0.352342i | \(-0.114615\pi\) |
−0.951375 | + | 0.308034i | \(0.900329\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 68.8265 | − | 7.75488i | 0.272041 | − | 0.0306517i | ||||
\(254\) | −185.744 | − | 385.701i | −0.731275 | − | 1.51851i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −97.7195 | + | 428.137i | −0.381717 | + | 1.67241i | ||||
\(257\) | −63.5682 | − | 30.6128i | −0.247347 | − | 0.119116i | 0.306103 | − | 0.951998i | \(-0.400975\pi\) |
−0.553450 | + | 0.832882i | \(0.686689\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 194.917 | + | 310.209i | 0.752575 | + | 1.19772i | ||||
\(260\) | − | 196.123i | − | 0.754318i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −736.194 | −2.80990 | ||||||||
\(263\) | 50.8493 | − | 31.9507i | 0.193343 | − | 0.121486i | −0.431881 | − | 0.901930i | \(-0.642150\pi\) |
0.625225 | + | 0.780445i | \(0.285007\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 91.1782 | − | 189.333i | 0.344069 | − | 0.714466i | ||||
\(266\) | −427.252 | − | 97.5175i | −1.60621 | − | 0.366607i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 364.957 | − | 175.754i | 1.36178 | − | 0.655798i | ||||
\(269\) | 18.2957 | + | 162.379i | 0.0680138 | + | 0.603640i | 0.980774 | + | 0.195145i | \(0.0625176\pi\) |
−0.912761 | + | 0.408495i | \(0.866054\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −198.079 | + | 69.3110i | −0.730920 | + | 0.255760i | −0.669978 | − | 0.742381i | \(-0.733696\pi\) |
−0.0609426 | + | 0.998141i | \(0.519411\pi\) | |||||||
\(272\) | 53.8848 | − | 478.241i | 0.198106 | − | 1.75824i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −636.775 | + | 507.811i | −2.32400 | + | 1.85332i | ||||
\(275\) | 6.09344 | − | 9.69766i | 0.0221580 | − | 0.0352642i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 35.9969 | + | 45.1387i | 0.129953 | + | 0.162956i | 0.842551 | − | 0.538617i | \(-0.181053\pi\) |
−0.712598 | + | 0.701573i | \(0.752482\pi\) | |||||||
\(278\) | −542.505 | − | 542.505i | −1.95146 | − | 1.95146i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 323.888 | + | 925.618i | 1.15674 | + | 3.30578i | ||||
\(281\) | −176.539 | + | 221.372i | −0.628251 | + | 0.787802i | −0.989479 | − | 0.144675i | \(-0.953786\pi\) |
0.361228 | + | 0.932478i | \(0.382358\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 96.2836 | + | 199.935i | 0.340225 | + | 0.706484i | 0.998946 | − | 0.0459032i | \(-0.0146166\pi\) |
−0.658721 | + | 0.752387i | \(0.728902\pi\) | |||||||
\(284\) | 198.498 | + | 869.677i | 0.698937 | + | 3.06224i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −51.7623 | − | 24.9274i | −0.180987 | − | 0.0871588i | ||||
\(287\) | −3.20345 | + | 9.15495i | −0.0111619 | + | 0.0318988i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | − | 213.208i | − | 0.737742i | ||||||
\(290\) | 205.540 | + | 547.034i | 0.708759 | + | 1.88632i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −405.799 | + | 254.981i | −1.38972 | + | 0.873221i | ||||
\(293\) | −23.2034 | − | 8.11923i | −0.0791926 | − | 0.0277107i | 0.290392 | − | 0.956908i | \(-0.406214\pi\) |
−0.369585 | + | 0.929197i | \(0.620500\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −34.6036 | − | 7.89804i | −0.117300 | − | 0.0267730i | ||||
\(296\) | −1253.33 | + | 286.064i | −4.23421 | + | 0.966431i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −112.550 | − | 998.910i | −0.377685 | − | 3.35205i | ||||
\(299\) | 44.0406 | + | 35.1212i | 0.147293 | + | 0.117462i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 15.7353 | − | 139.654i | 0.0522766 | − | 0.463968i | ||||
\(302\) | 350.290 | − | 350.290i | 1.15990 | − | 1.15990i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 461.569 | − | 734.583i | 1.51832 | − | 2.41639i | ||||
\(305\) | 349.498 | + | 219.604i | 1.14590 | + | 0.720014i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −96.2745 | − | 96.2745i | −0.313598 | − | 0.313598i | 0.532704 | − | 0.846302i | \(-0.321176\pi\) |
−0.846302 | + | 0.532704i | \(0.821176\pi\) | |||||||
\(308\) | 332.076 | + | 37.4160i | 1.07817 | + | 0.121480i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −514.866 | + | 645.621i | −1.66086 | + | 2.08265i | ||||
\(311\) | 305.576 | − | 34.4302i | 0.982561 | − | 0.110708i | 0.393956 | − | 0.919129i | \(-0.371106\pi\) |
0.588604 | + | 0.808421i | \(0.299678\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 77.7372 | + | 340.589i | 0.248362 | + | 1.08814i | 0.933174 | + | 0.359424i | \(0.117027\pi\) |
−0.684813 | + | 0.728719i | \(0.740116\pi\) | |||||||
\(314\) | −82.3074 | + | 360.612i | −0.262126 | + | 1.14845i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −429.219 | + | 1226.64i | −1.35829 | + | 3.88177i | ||||
\(317\) | 158.784 | + | 252.704i | 0.500896 | + | 0.797172i | 0.997490 | − | 0.0708112i | \(-0.0225588\pi\) |
−0.496593 | + | 0.867983i | \(0.665416\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 124.032 | + | 11.1161i | 0.388816 | + | 0.0348466i | ||||
\(320\) | −1042.81 | −3.25879 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −425.133 | − | 148.761i | −1.32029 | − | 0.461989i | ||||
\(323\) | −59.2805 | + | 123.097i | −0.183531 | + | 0.381106i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 9.08118 | − | 2.07272i | 0.0279421 | − | 0.00637760i | ||||
\(326\) | −316.988 | + | 152.654i | −0.972357 | + | 0.468262i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −26.6091 | − | 21.2201i | −0.0811254 | − | 0.0646953i | ||||
\(329\) | −409.711 | + | 143.364i | −1.24532 | + | 0.435757i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −26.9231 | + | 26.9231i | −0.0813386 | + | 0.0813386i | −0.746606 | − | 0.665267i | \(-0.768318\pi\) |
0.665267 | + | 0.746606i | \(0.268318\pi\) | |||||||
\(332\) | −65.5400 | + | 52.2664i | −0.197410 | + | 0.157429i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 371.862 | + | 233.656i | 1.11336 | + | 0.699569i | ||||
\(335\) | 124.428 | + | 156.027i | 0.371426 | + | 0.465753i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 68.6759 | + | 7.73791i | 0.203786 | + | 0.0229612i | 0.213267 | − | 0.976994i | \(-0.431589\pi\) |
−0.00948132 | + | 0.999955i | \(0.503018\pi\) | |||||||
\(338\) | 198.402 | + | 567.002i | 0.586989 | + | 1.67752i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 485.828 | − | 54.7397i | 1.42891 | − | 0.160999i | ||||
\(341\) | 76.3519 | + | 158.546i | 0.223906 | + | 0.464945i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 72.7761 | − | 318.853i | 0.212175 | − | 0.929601i | ||||
\(344\) | 444.307 | + | 213.967i | 1.29159 | + | 0.621997i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 174.951 | + | 278.433i | 0.505639 | + | 0.804720i | ||||
\(347\) | − | 255.048i | − | 0.735009i | −0.930022 | − | 0.367505i | \(-0.880212\pi\) | ||
0.930022 | − | 0.367505i | \(-0.119788\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 402.926 | 1.15451 | 0.577257 | − | 0.816562i | \(-0.304123\pi\) | ||||
0.577257 | + | 0.816562i | \(0.304123\pi\) | |||||||
\(350\) | −63.0636 | + | 39.6255i | −0.180182 | + | 0.113216i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −203.959 | + | 423.525i | −0.579428 | + | 1.20320i | ||||
\(353\) | 630.205 | + | 143.840i | 1.78528 | + | 0.407479i | 0.982116 | − | 0.188274i | \(-0.0602894\pi\) |
0.803167 | + | 0.595754i | \(0.203147\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −395.960 | + | 190.684i | −1.11538 | + | 0.537138i | ||||
\(356\) | −133.266 | − | 1182.77i | −0.374342 | − | 3.32238i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 304.427 | − | 106.524i | 0.850356 | − | 0.297552i | ||||
\(359\) | 1.72924 | − | 15.3474i | 0.00481682 | − | 0.0427505i | −0.991074 | − | 0.133314i | \(-0.957438\pi\) |
0.995891 | + | 0.0905633i | \(0.0288668\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 89.6819 | − | 71.5189i | 0.248426 | − | 0.198113i | ||||
\(362\) | −77.6308 | + | 123.549i | −0.214450 | + | 0.341295i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 169.454 | + | 212.488i | 0.465532 | + | 0.583758i | ||||
\(365\) | −166.959 | − | 166.959i | −0.457422 | − | 0.457422i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 218.637 | + | 624.829i | 0.595741 | + | 1.70253i | 0.705624 | + | 0.708586i | \(0.250667\pi\) |
−0.109883 | + | 0.993945i | \(0.535048\pi\) | |||||||
\(368\) | 555.934 | − | 697.119i | 1.51069 | − | 1.89434i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −439.443 | − | 912.512i | −1.18768 | − | 2.46625i | ||||
\(371\) | 64.8010 | + | 283.912i | 0.174666 | + | 0.765261i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 398.567 | + | 191.940i | 1.06854 | + | 0.514584i | 0.883637 | − | 0.468173i | \(-0.155087\pi\) |
0.184907 | + | 0.982756i | \(0.440802\pi\) | |||||||
\(374\) | 47.3019 | − | 135.181i | 0.126476 | − | 0.361447i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | − | 1523.14i | − | 4.05090i | ||||||
\(377\) | 64.9361 | + | 77.7214i | 0.172244 | + | 0.206158i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −78.5862 | + | 49.3790i | −0.207352 | + | 0.130288i | −0.631705 | − | 0.775209i | \(-0.717644\pi\) |
0.424353 | + | 0.905497i | \(0.360502\pi\) | |||||||
\(380\) | 831.865 | + | 291.082i | 2.18912 | + | 0.766006i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 1001.72 | + | 228.636i | 2.62230 | + | 0.598524i | ||||
\(383\) | −52.6752 | + | 12.0228i | −0.137533 | + | 0.0313911i | −0.290733 | − | 0.956804i | \(-0.593899\pi\) |
0.153200 | + | 0.988195i | \(0.451042\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 18.4337 | + | 163.604i | 0.0478798 | + | 0.424945i | ||||
\(386\) | 534.133 | + | 425.957i | 1.38376 | + | 1.10351i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −16.5062 | + | 146.497i | −0.0425419 | + | 0.377570i | ||||
\(389\) | 220.798 | − | 220.798i | 0.567605 | − | 0.567605i | −0.363852 | − | 0.931457i | \(-0.618539\pi\) |
0.931457 | + | 0.363852i | \(0.118539\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −74.7087 | + | 118.898i | −0.191071 | + | 0.304088i | ||||
\(392\) | −89.4741 | − | 56.2203i | −0.228250 | − | 0.143419i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 398.482 | + | 398.482i | 1.01138 | + | 1.01138i | ||||
\(395\) | −636.231 | − | 71.6860i | −1.61071 | − | 0.181484i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 487.205 | − | 610.936i | 1.22722 | − | 1.53888i | 0.474965 | − | 0.880005i | \(-0.342461\pi\) |
0.752251 | − | 0.658876i | \(-0.228968\pi\) | |||||||
\(398\) | −814.217 | + | 91.7402i | −2.04577 | + | 0.230503i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −32.8091 | − | 143.746i | −0.0820228 | − | 0.359366i | ||||
\(401\) | 28.0626 | − | 122.950i | 0.0699815 | − | 0.306609i | −0.927808 | − | 0.373057i | \(-0.878310\pi\) |
0.997790 | + | 0.0664482i | \(0.0211667\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −47.2685 | + | 135.086i | −0.117292 | + | 0.335200i | ||||
\(404\) | −681.893 | − | 1085.23i | −1.68785 | − | 2.68621i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −695.338 | − | 415.090i | −1.71266 | − | 1.02239i | ||||
\(407\) | −215.829 | −0.530293 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −115.947 | − | 40.5715i | −0.283488 | − | 0.0991968i | 0.184790 | − | 0.982778i | \(-0.440840\pi\) |
−0.468278 | + | 0.883581i | \(0.655125\pi\) | |||||||
\(410\) | 11.6340 | − | 24.1582i | 0.0283755 | − | 0.0589224i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −446.854 | + | 101.992i | −1.08460 | + | 0.247552i | ||||
\(413\) | 44.3151 | − | 21.3410i | 0.107300 | − | 0.0516732i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −32.2896 | − | 25.7501i | −0.0778061 | − | 0.0620483i | ||||
\(416\) | −360.854 | + | 126.268i | −0.867439 | + | 0.303530i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 182.556 | − | 182.556i | 0.436736 | − | 0.436736i | ||||
\(419\) | 209.191 | − | 166.825i | 0.499263 | − | 0.398149i | −0.341223 | − | 0.939983i | \(-0.610841\pi\) |
0.840486 | + | 0.541833i | \(0.182270\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −301.780 | − | 189.621i | −0.716818 | − | 0.450407i | 0.123609 | − | 0.992331i | \(-0.460553\pi\) |
−0.840427 | + | 0.541924i | \(0.817696\pi\) | |||||||
\(422\) | −23.3945 | − | 29.3358i | −0.0554372 | − | 0.0695160i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1015.43 | − | 114.412i | −2.39489 | − | 0.269839i | ||||
\(425\) | 7.66911 | + | 21.9170i | 0.0180450 | + | 0.0515695i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −568.404 | + | 64.0437i | −1.33116 | + | 0.149985i | ||||
\(428\) | 22.8595 | + | 47.4682i | 0.0534100 | + | 0.110907i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −86.4533 | + | 378.777i | −0.201054 | + | 0.880876i | ||||
\(431\) | −124.980 | − | 60.1870i | −0.289976 | − | 0.139645i | 0.283241 | − | 0.959049i | \(-0.408590\pi\) |
−0.573217 | + | 0.819404i | \(0.694305\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 107.372 | + | 170.882i | 0.247973 | + | 0.394647i | 0.947397 | − | 0.320060i | \(-0.103703\pi\) |
−0.699424 | + | 0.714707i | \(0.746560\pi\) | |||||||
\(434\) | − | 1144.35i | − | 2.63675i | ||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2255.42 | −5.17298 | ||||||||
\(437\) | −214.333 | + | 134.674i | −0.490464 | + | 0.308179i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 70.9416 | − | 147.312i | 0.161598 | − | 0.335562i | −0.804410 | − | 0.594075i | \(-0.797518\pi\) |
0.966008 | + | 0.258513i | \(0.0832325\pi\) | |||||||
\(440\) | −563.228 | − | 128.553i | −1.28006 | − | 0.292166i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 104.943 | − | 50.5377i | 0.237427 | − | 0.114339i | ||||
\(443\) | 71.6573 | + | 635.976i | 0.161755 | + | 1.43561i | 0.768059 | + | 0.640379i | \(0.221223\pi\) |
−0.606304 | + | 0.795233i | \(0.707349\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 553.493 | − | 193.676i | 1.24381 | − | 0.435226i | ||||
\(446\) | −138.159 | + | 1226.20i | −0.309774 | + | 2.74932i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1129.83 | − | 901.009i | 2.52194 | − | 2.01118i | ||||
\(449\) | 149.510 | − | 237.943i | 0.332984 | − | 0.529941i | −0.637705 | − | 0.770281i | \(-0.720116\pi\) |
0.970689 | + | 0.240340i | \(0.0772589\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3.56259 | − | 4.46734i | −0.00789931 | − | 0.00990542i | ||||
\(452\) | 753.434 | + | 753.434i | 1.66689 | + | 1.66689i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −328.917 | − | 939.992i | −0.724487 | − | 2.07047i | ||||
\(455\) | −83.4846 | + | 104.686i | −0.183483 | + | 0.230080i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 209.594 | + | 435.225i | 0.458629 | + | 0.952353i | 0.994168 | + | 0.107843i | \(0.0343943\pi\) |
−0.535539 | + | 0.844511i | \(0.679891\pi\) | |||||||
\(458\) | −249.217 | − | 1091.89i | −0.544141 | − | 2.38404i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 816.092 | + | 393.009i | 1.77411 | + | 0.854368i | ||||
\(461\) | 107.774 | − | 308.000i | 0.233783 | − | 0.668114i | −0.765901 | − | 0.642959i | \(-0.777707\pi\) |
0.999684 | − | 0.0251545i | \(-0.00800777\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 332.607i | 0.718374i | 0.933266 | + | 0.359187i | \(0.116946\pi\) | ||||
−0.933266 | + | 0.359187i | \(0.883054\pi\) | |||||||
\(464\) | 1230.25 | − | 1027.88i | 2.65141 | − | 2.21525i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 26.7467 | − | 16.8061i | 0.0573965 | − | 0.0360646i | ||||
\(467\) | 182.053 | + | 63.7030i | 0.389835 | + | 0.136409i | 0.518077 | − | 0.855334i | \(-0.326648\pi\) |
−0.128243 | + | 0.991743i | \(0.540934\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −269.621 | − | 61.5392i | −0.574884 | − | 0.131214i | ||||
\(470\) | 1169.90 | − | 267.022i | 2.48915 | − | 0.568132i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 19.3242 | + | 171.507i | 0.0409411 | + | 0.363363i | ||||
\(473\) | 64.7299 | + | 51.6204i | 0.136850 | + | 0.109134i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.68659 | + | 41.5946i | −0.00986650 | + | 0.0875676i | ||||
\(476\) | −479.071 | + | 479.071i | −1.00645 | + | 1.00645i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 326.005 | − | 518.834i | 0.682019 | − | 1.08543i | ||||
\(479\) | −149.906 | − | 94.1921i | −0.312956 | − | 0.196643i | 0.366390 | − | 0.930461i | \(-0.380594\pi\) |
−0.679346 | + | 0.733818i | \(0.737736\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −124.120 | − | 124.120i | −0.258045 | − | 0.258045i | ||||
\(482\) | −414.520 | − | 46.7052i | −0.859999 | − | 0.0968987i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 682.710 | − | 856.091i | 1.41056 | − | 1.76878i | ||||
\(485\) | −72.1746 | + | 8.13213i | −0.148814 | + | 0.0167673i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 10.4608 | + | 45.8320i | 0.0214802 | + | 0.0941108i | 0.984532 | − | 0.175206i | \(-0.0560592\pi\) |
−0.963052 | + | 0.269317i | \(0.913202\pi\) | |||||||
\(488\) | 446.629 | − | 1956.81i | 0.915223 | − | 4.00986i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 27.4963 | − | 78.5798i | 0.0561148 | − | 0.160367i | ||||
\(491\) | 308.602 | + | 491.137i | 0.628517 | + | 1.00028i | 0.997488 | + | 0.0708376i | \(0.0225672\pi\) |
−0.368971 | + | 0.929441i | \(0.620290\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −174.404 | + | 182.550i | −0.353761 | + | 0.370284i | ||||
\(494\) | 209.969 | 0.425038 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2138.27 | + | 748.214i | 4.31104 | + | 1.50850i | ||||
\(497\) | 264.246 | − | 548.712i | 0.531681 | − | 1.10405i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −927.838 | + | 211.773i | −1.85939 | + | 0.424395i | −0.996689 | − | 0.0813113i | \(-0.974089\pi\) |
−0.862706 | + | 0.505706i | \(0.831232\pi\) | |||||||
\(500\) | −1129.96 | + | 544.159i | −2.25992 | + | 1.08832i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −35.2914 | − | 28.1439i | −0.0703016 | − | 0.0560636i | ||||
\(503\) | 199.435 | − | 69.7852i | 0.396490 | − | 0.138738i | −0.124667 | − | 0.992199i | \(-0.539786\pi\) |
0.521157 | + | 0.853461i | \(0.325501\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 446.498 | − | 446.498i | 0.884154 | − | 0.884154i | ||||
\(506\) | 207.452 | − | 165.438i | 0.409985 | − | 0.326952i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1010.18 | − | 634.739i | −1.98855 | − | 1.24949i | ||||
\(509\) | −41.2535 | − | 51.7302i | −0.0810481 | − | 0.101631i | 0.739654 | − | 0.672987i | \(-0.234989\pi\) |
−0.820702 | + | 0.571356i | \(0.806418\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 325.147 | + | 36.6352i | 0.636295 | + | 0.0716932i | ||||
\(512\) | 130.737 | + | 373.625i | 0.255346 | + | 0.729737i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −268.597 | + | 30.2636i | −0.522562 | + | 0.0588786i | ||||
\(515\) | −97.9766 | − | 203.451i | −0.190246 | − | 0.395050i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 56.9021 | − | 249.305i | 0.110062 | − | 0.482214i | ||||
\(518\) | 1264.54 | + | 608.970i | 2.44119 | + | 1.17562i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −249.974 | − | 397.831i | −0.480719 | − | 0.765060i | ||||
\(521\) | 926.186i | 1.77771i | 0.458190 | + | 0.888854i | \(0.348498\pi\) | ||||
−0.458190 | + | 0.888854i | \(0.651502\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 711.936 | 1.36125 | 0.680627 | − | 0.732630i | \(-0.261707\pi\) | ||||
0.680627 | + | 0.732630i | \(0.261707\pi\) | |||||||
\(524\) | −1737.20 | + | 1091.56i | −3.31527 | + | 2.08312i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 99.8221 | − | 207.283i | 0.189776 | − | 0.394074i | ||||
\(527\) | −347.822 | − | 79.3882i | −0.660004 | − | 0.150642i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 242.216 | − | 116.645i | 0.457875 | − | 0.220501i | ||||
\(530\) | −90.1381 | − | 799.997i | −0.170072 | − | 1.50943i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −1152.78 | + | 403.375i | −2.16688 | + | 0.758224i | ||||
\(533\) | 0.520309 | − | 4.61787i | 0.000976189 | − | 0.00866392i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −20.2937 | + | 16.1837i | −0.0379322 | + | 0.0302499i | ||||
\(536\) | 516.296 | − | 821.680i | 0.963238 | − | 1.53298i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 390.309 | + | 489.433i | 0.725482 | + | 0.909726i | ||||
\(539\) | −12.5447 | − | 12.5447i | −0.0232740 | − | 0.0232740i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 51.9016 | + | 148.326i | 0.0959364 | + | 0.274170i | 0.981844 | − | 0.189692i | \(-0.0607489\pi\) |
−0.885907 | + | 0.463862i | \(0.846463\pi\) | |||||||
\(542\) | −501.257 | + | 628.557i | −0.924829 | + | 1.15970i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −413.505 | − | 858.652i | −0.760120 | − | 1.57841i | ||||
\(545\) | −247.260 | − | 1083.32i | −0.453689 | − | 1.98774i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 249.900 | + | 120.346i | 0.456856 | + | 0.220010i | 0.648135 | − | 0.761525i | \(-0.275549\pi\) |
−0.191279 | + | 0.981536i | \(0.561263\pi\) | |||||||
\(548\) | −749.670 | + | 2142.43i | −1.36801 | + | 3.90955i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | − | 43.8768i | − | 0.0797761i | ||||||
\(551\) | −426.037 | + | 160.077i | −0.773207 | + | 0.290521i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 751.259 | − | 472.047i | 1.35851 | − | 0.853611i | ||||
\(554\) | 208.768 | + | 73.0512i | 0.376838 | + | 0.131861i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −2084.53 | − | 475.780i | −3.74915 | − | 0.855719i | ||||
\(557\) | −114.217 | + | 26.0694i | −0.205058 | + | 0.0468032i | −0.323816 | − | 0.946120i | \(-0.604966\pi\) |
0.118758 | + | 0.992923i | \(0.462109\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 7.53906 | + | 66.9110i | 0.0134867 | + | 0.119698i | ||||
\(560\) | 1657.08 | + | 1321.48i | 2.95908 | + | 2.35979i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −121.451 | + | 1077.91i | −0.216105 | + | 1.91798i | ||||
\(563\) | −544.911 | + | 544.911i | −0.967871 | + | 0.967871i | −0.999500 | − | 0.0316292i | \(-0.989930\pi\) |
0.0316292 | + | 0.999500i | \(0.489930\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −279.289 | + | 444.486i | −0.494317 | + | 0.786701i | ||||
\(566\) | 719.832 | + | 452.301i | 1.27179 | + | 0.799118i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1511.12 | + | 1511.12i | 2.66042 | + | 2.66042i | ||||
\(569\) | −877.995 | − | 98.9262i | −1.54305 | − | 0.173860i | −0.700960 | − | 0.713200i | \(-0.747245\pi\) |
−0.842088 | + | 0.539340i | \(0.818674\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −118.851 | + | 149.035i | −0.208146 | + | 0.261007i | −0.874936 | − | 0.484239i | \(-0.839096\pi\) |
0.666790 | + | 0.745246i | \(0.267668\pi\) | |||||||
\(572\) | −159.104 | + | 17.9267i | −0.278153 | + | 0.0313404i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 8.26835 | + | 36.2260i | 0.0144048 | + | 0.0631115i | ||||
\(575\) | −9.57287 | + | 41.9415i | −0.0166485 | + | 0.0729417i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 105.425 | − | 301.288i | 0.182713 | − | 0.522163i | −0.815701 | − | 0.578474i | \(-0.803648\pi\) |
0.998413 | + | 0.0563115i | \(0.0179340\pi\) | |||||||
\(578\) | −434.561 | − | 691.600i | −0.751836 | − | 1.19654i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 1296.10 | + | 986.085i | 2.23466 | + | 1.70015i | ||||
\(581\) | 57.2324 | 0.0985068 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −161.930 | − | 56.6618i | −0.277753 | − | 0.0971901i | ||||
\(584\) | −498.163 | + | 1034.45i | −0.853019 | + | 1.77131i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −91.8156 | + | 20.9563i | −0.156682 | + | 0.0357616i | ||||
\(587\) | 927.516 | − | 446.668i | 1.58009 | − | 0.760934i | 0.581481 | − | 0.813560i | \(-0.302474\pi\) |
0.998614 | + | 0.0526268i | \(0.0167594\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −502.818 | − | 400.984i | −0.853681 | − | 0.680788i | ||||
\(590\) | −128.345 | + | 44.9097i | −0.217533 | + | 0.0761181i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1964.69 | + | 1964.69i | −3.31873 | + | 3.31873i | ||||
\(593\) | 720.843 | − | 574.853i | 1.21559 | − | 0.969398i | 0.215612 | − | 0.976479i | \(-0.430826\pi\) |
0.999975 | + | 0.00708137i | \(0.00225409\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −282.627 | − | 177.586i | −0.475003 | − | 0.298464i | ||||
\(596\) | −1746.67 | − | 2190.26i | −2.93066 | − | 3.67493i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 214.442 | + | 24.1619i | 0.358599 | + | 0.0404044i | ||||
\(599\) | −53.8833 | − | 153.989i | −0.0899553 | − | 0.257078i | 0.890112 | − | 0.455741i | \(-0.150626\pi\) |
−0.980068 | + | 0.198663i | \(0.936340\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −863.514 | + | 97.2947i | −1.43680 | + | 0.161888i | −0.795755 | − | 0.605619i | \(-0.792926\pi\) |
−0.641041 | + | 0.767507i | \(0.721497\pi\) | |||||||
\(602\) | −233.602 | − | 485.080i | −0.388044 | − | 0.805781i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 307.206 | − | 1345.96i | 0.508619 | − | 2.22841i | ||||
\(605\) | 486.040 | + | 234.065i | 0.803373 | + | 0.386884i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −310.491 | − | 494.143i | −0.511517 | − | 0.814075i | 0.486712 | − | 0.873562i | \(-0.338196\pi\) |
−0.998229 | + | 0.0594878i | \(0.981053\pi\) | |||||||
\(608\) | − | 1717.99i | − | 2.82564i | ||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1581.30 | 2.59229 | ||||||||
\(611\) | 176.094 | − | 110.647i | 0.288206 | − | 0.181092i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −246.942 | + | 512.779i | −0.402841 | + | 0.836508i | 0.596582 | + | 0.802552i | \(0.296525\pi\) |
−0.999423 | + | 0.0339560i | \(0.989189\pi\) | |||||||
\(614\) | −508.521 | − | 116.067i | −0.828211 | − | 0.189034i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 721.299 | − | 347.359i | 1.17094 | − | 0.563895i | ||||
\(617\) | −30.7744 | − | 273.130i | −0.0498775 | − | 0.442675i | −0.993687 | − | 0.112186i | \(-0.964215\pi\) |
0.943810 | − | 0.330489i | \(-0.107214\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −477.311 | + | 167.018i | −0.771100 | + | 0.269820i | −0.687019 | − | 0.726639i | \(-0.741081\pi\) |
−0.0840811 | + | 0.996459i | \(0.526795\pi\) | |||||||
\(620\) | −257.668 | + | 2286.87i | −0.415594 | + | 3.68850i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 921.049 | − | 734.512i | 1.48079 | − | 1.18089i | ||||
\(623\) | −432.340 | + | 688.065i | −0.693965 | + | 1.10444i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −426.820 | − | 535.215i | −0.682911 | − | 0.856344i | ||||
\(626\) | 946.353 | + | 946.353i | 1.51175 | + | 1.51175i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 340.459 | + | 972.977i | 0.542133 | + | 1.54933i | ||||
\(629\) | 272.821 | − | 342.107i | 0.433738 | − | 0.543891i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −251.062 | − | 521.335i | −0.397879 | − | 0.826205i | −0.999621 | − | 0.0275142i | \(-0.991241\pi\) |
0.601742 | − | 0.798690i | \(-0.294473\pi\) | |||||||
\(632\) | 692.784 | + | 3035.29i | 1.09618 | + | 4.80267i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 1030.12 | + | 496.082i | 1.62480 | + | 0.782463i | ||||
\(635\) | 194.131 | − | 554.794i | 0.305718 | − | 0.873691i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | − | 14.4284i | − | 0.0226506i | ||||||
\(638\) | 424.992 | − | 216.745i | 0.666131 | − | 0.339726i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1432.46 | + | 900.076i | −2.23822 | + | 1.40637i | ||||
\(641\) | 354.797 | + | 124.149i | 0.553505 | + | 0.193680i | 0.592516 | − | 0.805559i | \(-0.298135\pi\) |
−0.0390104 | + | 0.999239i | \(0.512421\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −13.7935 | − | 3.14829i | −0.0214519 | − | 0.00489625i | 0.211782 | − | 0.977317i | \(-0.432073\pi\) |
−0.233233 | + | 0.972421i | \(0.574931\pi\) | |||||||
\(644\) | −1223.76 | + | 279.315i | −1.90024 | + | 0.433718i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 58.6043 | + | 520.127i | 0.0907187 | + | 0.805151i | ||||
\(647\) | −778.933 | − | 621.178i | −1.20391 | − | 0.960090i | −0.204092 | − | 0.978952i | \(-0.565424\pi\) |
−0.999822 | + | 0.0188619i | \(0.993996\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −3.24430 | + | 28.7939i | −0.00499892 | + | 0.0443666i | ||||
\(650\) | 25.2328 | − | 25.2328i | 0.0388197 | − | 0.0388197i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −521.660 | + | 830.217i | −0.800092 | + | 1.27334i | ||||
\(653\) | 240.927 | + | 151.384i | 0.368954 | + | 0.231829i | 0.703728 | − | 0.710469i | \(-0.251517\pi\) |
−0.334774 | + | 0.942298i | \(0.608660\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −714.742 | − | 714.742i | −1.09121 | − | 1.09121i | ||||
\(656\) | −73.0963 | − | 8.23598i | −0.111427 | − | 0.0125548i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −1036.81 | + | 1300.12i | −1.57570 | + | 1.97586i | ||||
\(659\) | −1062.63 | + | 119.729i | −1.61249 | + | 0.181684i | −0.871694 | − | 0.490050i | \(-0.836978\pi\) |
−0.740792 | + | 0.671734i | \(0.765550\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 100.223 | + | 439.106i | 0.151624 | + | 0.664306i | 0.992414 | + | 0.122945i | \(0.0392337\pi\) |
−0.840790 | + | 0.541361i | \(0.817909\pi\) | |||||||
\(662\) | −32.4579 | + | 142.207i | −0.0490301 | + | 0.214815i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −66.3289 | + | 189.557i | −0.0998930 | + | 0.285478i | ||||
\(665\) | −320.126 | − | 509.478i | −0.481393 | − | 0.766133i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −453.534 | + | 114.462i | −0.679961 | + | 0.171607i | ||||
\(668\) | 1223.93 | 1.83223 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 721.633 | + | 252.510i | 1.07706 | + | 0.376881i | ||||
\(671\) | 146.207 | − | 303.602i | 0.217894 | − | 0.452462i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −665.540 | + | 151.905i | −0.988915 | + | 0.225713i | −0.686236 | − | 0.727379i | \(-0.740738\pi\) |
−0.302679 | + | 0.953092i | \(0.597881\pi\) | |||||||
\(674\) | 238.541 | − | 114.875i | 0.353919 | − | 0.170438i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 1308.87 | + | 1043.79i | 1.93619 | + | 1.54406i | ||||
\(677\) | −140.624 | + | 49.2065i | −0.207716 | + | 0.0726831i | −0.432132 | − | 0.901810i | \(-0.642238\pi\) |
0.224415 | + | 0.974494i | \(0.427953\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 71.1709 | − | 71.1709i | 0.104817 | − | 0.104817i | ||||
\(680\) | 915.722 | − | 730.264i | 1.34665 | − | 1.07392i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 570.819 | + | 358.670i | 0.836978 | + | 0.525908i | ||||
\(683\) | 562.476 | + | 705.323i | 0.823538 | + | 1.03268i | 0.998839 | + | 0.0481690i | \(0.0153386\pi\) |
−0.175301 | + | 0.984515i | \(0.556090\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −1111.23 | − | 125.206i | −1.62224 | − | 0.182782i | ||||
\(686\) | −413.818 | − | 1182.62i | −0.603233 | − | 1.72394i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1059.14 | − | 119.336i | 1.53944 | − | 0.173453i | ||||
\(689\) | −60.5379 | − | 125.708i | −0.0878635 | − | 0.182450i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 174.983 | − | 766.650i | 0.253231 | − | 1.10948i | −0.675101 | − | 0.737726i | \(-0.735900\pi\) |
0.928332 | − | 0.371753i | \(-0.121243\pi\) | |||||||
\(692\) | 825.667 | + | 397.620i | 1.19316 | + | 0.574596i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −519.841 | − | 827.322i | −0.749050 | − | 1.19211i | ||||
\(695\) | − | 1053.39i | − | 1.51567i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 11.5844 | 0.0166204 | ||||||||
\(698\) | 1307.01 | − | 821.246i | 1.87250 | − | 1.17657i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −90.0589 | + | 187.009i | −0.128656 | + | 0.267156i | ||||
\(701\) | −1133.94 | − | 258.815i | −1.61761 | − | 0.369208i | −0.684557 | − | 0.728959i | \(-0.740005\pi\) |
−0.933048 | + | 0.359751i | \(0.882862\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 710.676 | − | 342.243i | 1.01092 | − | 0.486833i | ||||
\(704\) | 95.3188 | + | 845.978i | 0.135396 | + | 1.20167i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 2337.43 | − | 817.901i | 3.31080 | − | 1.15850i | ||||
\(707\) | −97.9734 | + | 869.538i | −0.138576 | + | 1.22990i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 70.9559 | − | 56.5854i | 0.100079 | − | 0.0798102i | −0.572172 | − | 0.820134i | \(-0.693899\pi\) |
0.672251 | + | 0.740323i | \(0.265328\pi\) | |||||||
\(710\) | −895.755 | + | 1425.59i | −1.26163 | + | 2.00787i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −1777.86 | − | 2229.36i | −2.49699 | − | 3.13112i | ||||
\(713\) | −467.388 | − | 467.388i | −0.655523 | − | 0.655523i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −26.0529 | − | 74.4550i | −0.0364377 | − | 0.104133i | ||||
\(716\) | 560.416 | − | 702.740i | 0.782704 | − | 0.981480i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −25.6719 | − | 53.3083i | −0.0357548 | − | 0.0742456i | ||||
\(719\) | −8.99364 | − | 39.4037i | −0.0125085 | − | 0.0548035i | 0.968288 | − | 0.249835i | \(-0.0803763\pi\) |
−0.980797 | + | 0.195031i | \(0.937519\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 281.937 | + | 135.774i | 0.391036 | + | 0.188313i | ||||
\(722\) | 145.139 | − | 414.782i | 0.201023 | − | 0.574491i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 406.642i | 0.561661i | ||||||||
\(725\) | −31.9614 | + | 70.4356i | −0.0440847 | + | 0.0971525i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −358.094 | + | 225.005i | −0.492564 | + | 0.309498i | −0.755311 | − | 0.655366i | \(-0.772514\pi\) |
0.262747 | + | 0.964865i | \(0.415371\pi\) | |||||||
\(728\) | 614.566 | + | 215.046i | 0.844184 | + | 0.295393i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −881.877 | − | 201.283i | −1.20805 | − | 0.275730i | ||||
\(731\) | −163.645 | + | 37.3509i | −0.223865 | + | 0.0510957i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −14.7149 | − | 130.599i | −0.0200749 | − | 0.178170i | 0.979673 | − | 0.200599i | \(-0.0642887\pi\) |
−0.999748 | + | 0.0224286i | \(0.992860\pi\) | |||||||
\(734\) | 1982.74 | + | 1581.18i | 2.70128 | + | 2.15420i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 197.695 | − | 1754.59i | 0.268607 | − | 2.38396i | ||||
\(737\) | 115.203 | − | 115.203i | 0.156314 | − | 0.156314i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −152.535 | + | 242.758i | −0.206407 | + | 0.328495i | −0.933845 | − | 0.357679i | \(-0.883568\pi\) |
0.727438 | + | 0.686174i | \(0.240711\pi\) | |||||||
\(740\) | −2389.94 | − | 1501.70i | −3.22965 | − | 2.02932i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 788.872 | + | 788.872i | 1.06317 | + | 1.06317i | ||||
\(743\) | −286.805 | − | 32.3151i | −0.386009 | − | 0.0434928i | −0.0831723 | − | 0.996535i | \(-0.526505\pi\) |
−0.302837 | + | 0.953042i | \(0.597934\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 860.533 | − | 1079.07i | 1.15508 | − | 1.44842i | ||||
\(746\) | 1684.08 | − | 189.750i | 2.25748 | − | 0.254357i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −88.8146 | − | 389.122i | −0.118736 | − | 0.520217i | ||||
\(749\) | 8.00411 | − | 35.0683i | 0.0106864 | − | 0.0468202i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 14.9942 | − | 42.8510i | 0.0199657 | − | 0.0570586i | −0.933469 | − | 0.358657i | \(-0.883235\pi\) |
0.953435 | + | 0.301599i | \(0.0975203\pi\) | |||||||
\(752\) | −1751.44 | − | 2787.40i | −2.32904 | − | 3.70664i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 369.051 | + | 119.759i | 0.489458 | + | 0.158831i | ||||
\(755\) | 680.165 | 0.900881 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −467.425 | − | 163.559i | −0.617470 | − | 0.216062i | 0.00337645 | − | 0.999994i | \(-0.498925\pi\) |
−0.620846 | + | 0.783932i | \(0.713211\pi\) | |||||||
\(758\) | −154.272 | + | 320.350i | −0.203526 | + | 0.422625i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2058.43 | − | 469.823i | 2.70846 | − | 0.618188i | ||||
\(761\) | −1035.64 | + | 498.740i | −1.36090 | + | 0.655375i | −0.964837 | − | 0.262849i | \(-0.915338\pi\) |
−0.396062 | + | 0.918224i | \(0.629624\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1203.90 | + | 960.077i | 1.57785 | + | 1.25829i | ||||
\(764\) | 2702.76 | − | 945.738i | 3.53765 | − | 1.23788i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −146.362 | + | 146.362i | −0.191074 | + | 0.191074i | ||||
\(767\) | −18.4246 | + | 14.6931i | −0.0240217 | + | 0.0191566i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1078.65 | + | 677.762i | 1.40267 | + | 0.881355i | 0.999431 | − | 0.0337394i | \(-0.0107416\pi\) |
0.403239 | + | 0.915095i | \(0.367884\pi\) | |||||||
\(770\) | 393.253 | + | 493.124i | 0.510718 | + | 0.640420i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 1891.96 | + | 213.173i | 2.45073 | + | 0.276131i | ||||
\(773\) | 101.777 | + | 290.863i | 0.131666 | + | 0.376279i | 0.990776 | − | 0.135512i | \(-0.0432680\pi\) |
−0.859110 | + | 0.511791i | \(0.828982\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −108.613 | + | 12.2378i | −0.140146 | + | 0.0157907i | ||||
\(776\) | 153.239 | + | 318.205i | 0.197473 | + | 0.410058i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 266.190 | − | 1166.26i | 0.342147 | − | 1.49904i | ||||
\(779\) | 18.8147 | + | 9.06068i | 0.0241524 | + | 0.0116312i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 190.885 | + | 303.791i | 0.244410 | + | 0.388977i | ||||
\(782\) | 537.952i | 0.687919i | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −228.388 | −0.291311 | ||||||||
\(785\) | −430.013 | + | 270.195i | −0.547788 | + | 0.344198i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 418.692 | − | 869.423i | 0.532010 | − | 1.10473i | −0.445780 | − | 0.895143i | \(-0.647074\pi\) |
0.977790 | − | 0.209588i | \(-0.0672121\pi\) | |||||||
\(788\) | 1531.13 | + | 349.471i | 1.94306 | + | 0.443491i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −2209.91 | + | 1064.24i | −2.79735 | + | 1.34713i | ||||
\(791\) | −81.4498 | − | 722.887i | −0.102971 | − | 0.913889i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 258.677 | − | 90.5150i | 0.326201 | − | 0.114143i | ||||
\(794\) | 335.176 | − | 2974.77i | 0.422136 | − | 3.74656i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1785.29 | + | 1423.72i | −2.24283 | + | 1.78859i | ||||
\(797\) | 86.2069 | − | 137.197i | 0.108164 | − | 0.172142i | −0.788256 | − | 0.615347i | \(-0.789016\pi\) |
0.896420 | + | 0.443205i | \(0.146159\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 323.240 | + | 405.331i | 0.404556 | + | 0.507297i | ||||
\(800\) | −206.457 | − | 206.457i | −0.258072 | − | 0.258072i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −159.569 | − | 456.021i | −0.198964 | − | 0.568605i | ||||
\(803\) | −120.184 | + | 150.706i | −0.149669 | + | 0.187679i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −268.319 | − | 557.171i | −0.333316 | − | 0.692138i | ||||
\(806\) | 122.003 | + | 534.532i | 0.151369 | + | 0.663191i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −2766.42 | − | 1332.24i | −3.42378 | − | 1.64881i | ||||
\(809\) | 161.421 | − | 461.316i | 0.199532 | − | 0.570230i | −0.800026 | − | 0.599966i | \(-0.795181\pi\) |
0.999558 | + | 0.0297360i | \(0.00946665\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 1265.57i | 1.56051i | 0.625462 | + | 0.780255i | \(0.284911\pi\) | ||||
−0.625462 | + | 0.780255i | \(0.715089\pi\) | |||||||
\(812\) | −2256.25 | + | 51.4879i | −2.77863 | + | 0.0634087i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −700.104 | + | 439.905i | −0.860079 | + | 0.540423i | ||||
\(815\) | −455.957 | − | 159.546i | −0.559456 | − | 0.195762i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −294.996 | − | 67.3309i | −0.361072 | − | 0.0824124i | ||||
\(818\) | −458.799 | + | 104.718i | −0.560879 | + | 0.128017i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −8.36664 | − | 74.2560i | −0.0102032 | − | 0.0905561i | ||||
\(821\) | 388.526 | + | 309.839i | 0.473235 | + | 0.377392i | 0.830868 | − | 0.556470i | \(-0.187845\pi\) |
−0.357633 | + | 0.933862i | \(0.616416\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −6.16192 | + | 54.6885i | −0.00748714 | + | 0.0664502i | −0.996900 | − | 0.0786768i | \(-0.974930\pi\) |
0.989413 | + | 0.145127i | \(0.0463591\pi\) | |||||||
\(824\) | −776.439 | + | 776.439i | −0.942280 | + | 0.942280i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 100.251 | − | 159.549i | 0.121370 | − | 0.193159i | ||||
\(827\) | 690.518 | + | 433.881i | 0.834967 | + | 0.524645i | 0.880350 | − | 0.474325i | \(-0.157308\pi\) |
−0.0453827 | + | 0.998970i | \(0.514451\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −479.385 | − | 479.385i | −0.578270 | − | 0.578270i | 0.356157 | − | 0.934426i | \(-0.384087\pi\) |
−0.934426 | + | 0.356157i | \(0.884087\pi\) | |||||||
\(830\) | −157.224 | − | 17.7149i | −0.189427 | − | 0.0213433i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −431.690 | + | 541.323i | −0.518859 | + | 0.650628i | ||||
\(833\) | 35.7415 | − | 4.02710i | 0.0429070 | − | 0.00483446i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 134.178 | + | 587.873i | 0.160693 | + | 0.704040i | ||||
\(836\) | 160.102 | − | 701.454i | 0.191510 | − | 0.839059i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 338.549 | − | 967.519i | 0.403997 | − | 1.15456i | ||||
\(839\) | 346.951 | + | 552.169i | 0.413529 | + | 0.658127i | 0.986930 | − | 0.161147i | \(-0.0515194\pi\) |
−0.573402 | + | 0.819274i | \(0.694377\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −840.125 | + | 38.3635i | −0.998959 | + | 0.0456165i | ||||
\(842\) | −1365.40 | −1.62161 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −98.7004 | − | 34.5368i | −0.116944 | − | 0.0409203i | ||||
\(845\) | −357.858 | + | 743.101i | −0.423501 | + | 0.879409i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −728.834 | + | 166.352i | −0.860488 | + | 0.196401i | ||||
\(848\) | −1989.84 | + | 958.256i | −2.34651 | + | 1.13002i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 69.5484 | + | 55.4630i | 0.0818217 | + | 0.0652506i | ||||
\(851\) | 765.200 | − | 267.755i | 0.899178 | − | 0.314636i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −1023.16 | + | 1023.16i | −1.19949 | + | 1.19949i | −0.225165 | + | 0.974321i | \(0.572292\pi\) |
−0.974321 | + | 0.225165i | \(0.927708\pi\) | |||||||
\(854\) | −1713.25 | + | 1366.27i | −2.00614 | + | 1.59985i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 106.872 | + | 67.1521i | 0.124851 | + | 0.0784488i | ||||
\(857\) | 564.699 | + | 708.110i | 0.658925 | + | 0.826266i | 0.993226 | − | 0.116200i | \(-0.0370715\pi\) |
−0.334301 | + | 0.942467i | \(0.608500\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 447.480 | + | 50.4189i | 0.520931 | + | 0.0586949i | 0.368516 | − | 0.929622i | \(-0.379866\pi\) |
0.152416 | + | 0.988316i | \(0.451295\pi\) | |||||||
\(860\) | 357.608 | + | 1021.99i | 0.415824 | + | 1.18836i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −528.081 | + | 59.5004i | −0.612623 | + | 0.0690260i | ||||
\(863\) | −73.4373 | − | 152.494i | −0.0850954 | − | 0.176702i | 0.854079 | − | 0.520144i | \(-0.174122\pi\) |
−0.939174 | + | 0.343441i | \(0.888407\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −100.467 | + | 440.173i | −0.116146 | + | 0.508871i | ||||
\(866\) | 696.587 | + | 335.459i | 0.804373 | + | 0.387366i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −1696.73 | − | 2700.33i | −1.95476 | − | 3.11097i | ||||
\(869\) | 522.692i | 0.601487i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 132.503 | 0.152127 | ||||||||
\(872\) | −4575.08 | + | 2874.71i | −5.24665 | + | 3.29669i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −420.756 | + | 873.708i | −0.481414 | + | 0.999666i | ||||
\(875\) | 834.784 | + | 190.534i | 0.954039 | + | 0.217753i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 733.377 | − | 353.176i | 0.836233 | − | 0.402709i | 0.0337841 | − | 0.999429i | \(-0.489244\pi\) |
0.802449 | + | 0.596720i | \(0.203530\pi\) | |||||||
\(878\) | −70.1324 | − | 622.442i | −0.0798774 | − | 0.708932i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −1178.55 | + | 412.393i | −1.33926 | + | 0.468628i | ||||
\(881\) | −119.626 | + | 1061.71i | −0.135785 | + | 1.20512i | 0.722287 | + | 0.691593i | \(0.243091\pi\) |
−0.858072 | + | 0.513530i | \(0.828338\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −247.657 | + | 197.500i | −0.280472 | + | 0.223669i | −0.753614 | − | 0.657317i | \(-0.771691\pi\) |
0.473142 | + | 0.880986i | \(0.343120\pi\) | |||||||
\(884\) | 172.702 | − | 274.853i | 0.195364 | − | 0.310920i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 1528.69 | + | 1916.92i | 1.72539 | + | 2.16357i | ||||
\(887\) | −643.743 | − | 643.743i | −0.725753 | − | 0.725753i | 0.244018 | − | 0.969771i | \(-0.421534\pi\) |
−0.969771 | + | 0.244018i | \(0.921534\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 269.022 | + | 768.820i | 0.302612 | + | 0.864815i | ||||
\(890\) | 1400.66 | − | 1756.38i | 1.57378 | − | 1.97346i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 1492.07 | + | 3098.32i | 1.67272 | + | 3.47345i | ||||
\(893\) | 207.960 | + | 911.133i | 0.232878 | + | 1.02031i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 398.976 | + | 192.137i | 0.445784 | + | 0.214678i | ||||
\(896\) | 774.312 | − | 2212.86i | 0.864187 | − | 2.46971i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | − | 1076.57i | − | 1.19885i | ||||||
\(899\) | −655.070 | − | 991.577i | −0.728665 | − | 1.10298i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 294.503 | − | 185.049i | 0.326863 | − | 0.205381i | ||||
\(902\) | −20.6616 | − | 7.22982i | −0.0229065 | − | 0.00801532i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 2488.64 | + | 568.015i | 2.75292 | + | 0.628336i | ||||
\(905\) | −195.317 | + | 44.5799i | −0.215820 | + | 0.0492596i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −106.225 | − | 942.772i | −0.117117 | − | 1.03944i | −0.905527 | − | 0.424290i | \(-0.860524\pi\) |
0.788410 | − | 0.615150i | \(-0.210905\pi\) | |||||||
\(908\) | −2169.88 | − | 1730.42i | −2.38973 | − | 1.90575i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −57.4338 | + | 509.739i | −0.0631141 | + | 0.560153i | ||||
\(911\) | 291.791 | − | 291.791i | 0.320297 | − | 0.320297i | −0.528584 | − | 0.848881i | \(-0.677277\pi\) |
0.848881 | + | 0.528584i | \(0.177277\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −17.9382 | + | 28.5485i | −0.0196475 | + | 0.0312689i | ||||
\(914\) | 1566.96 | + | 984.584i | 1.71439 | + | 1.07723i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −2207.03 | − | 2207.03i | −2.40942 | − | 2.40942i | ||||
\(917\) | 1391.93 | + | 156.833i | 1.51792 | + | 0.171029i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 710.166 | − | 890.520i | 0.772760 | − | 0.969010i | −0.227228 | − | 0.973841i | \(-0.572966\pi\) |
0.999988 | + | 0.00483126i | \(0.00153784\pi\) | |||||||
\(920\) | 2156.35 | − | 242.962i | 2.34386 | − | 0.264089i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −278.172 | − | 1218.75i | −0.301706 | − | 1.32186i | ||||
\(923\) | −64.9305 | + | 284.479i | −0.0703472 | + | 0.308211i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 44.2760 | − | 126.533i | 0.0478659 | − | 0.136793i | ||||
\(926\) | 677.922 | + | 1078.91i | 0.732098 | + | 1.16513i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 979.878 | − | 3019.62i | 1.05590 | − | 3.25390i | ||||
\(929\) | 755.257 | 0.812979 | 0.406489 | − | 0.913655i | \(-0.366753\pi\) | ||||
0.406489 | + | 0.913655i | \(0.366753\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 61.1989 | + | 21.4144i | 0.0657346 | + | 0.0230015i | ||||
\(932\) | 38.1961 | − | 79.3149i | 0.0409829 | − | 0.0851019i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 720.381 | − | 164.422i | 0.771285 | − | 0.176041i | ||||
\(935\) | 177.166 | − | 85.3184i | 0.189482 | − | 0.0912497i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −557.789 | − | 444.822i | −0.595293 | − | 0.474730i | 0.278893 | − | 0.960322i | \(-0.410033\pi\) |
−0.874185 | + | 0.485592i | \(0.838604\pi\) | |||||||
\(938\) | −1000.02 | + | 349.923i | −1.06612 | + | 0.373052i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 2364.71 | − | 2364.71i | 2.51565 | − | 2.51565i | ||||
\(941\) | −226.705 | + | 180.791i | −0.240920 | + | 0.192127i | −0.736505 | − | 0.676432i | \(-0.763525\pi\) |
0.495585 | + | 0.868559i | \(0.334954\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 18.1729 | + | 11.4188i | 0.0192714 | + | 0.0121090i | ||||
\(944\) | 232.578 | + | 291.644i | 0.246375 | + | 0.308945i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 315.183 | + | 35.5126i | 0.333175 | + | 0.0375398i | ||||
\(947\) | 587.677 | + | 1679.48i | 0.620567 | + | 1.77348i | 0.633717 | + | 0.773565i | \(0.281528\pi\) |
−0.0131502 | + | 0.999914i | \(0.504186\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −155.784 | + | 17.5526i | −0.164156 | + | 0.0184959i | ||||
\(950\) | 69.5761 | + | 144.476i | 0.0732380 | + | 0.152080i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −361.173 | + | 1582.40i | −0.379383 | + | 1.66219i | ||||
\(953\) | −197.375 | − | 95.0507i | −0.207109 | − | 0.0997385i | 0.327454 | − | 0.944867i | \(-0.393809\pi\) |
−0.534563 | + | 0.845129i | \(0.679524\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 750.557 | + | 1194.50i | 0.785923 | + | 1.25079i | ||||
\(956\) | − | 1707.67i | − | 1.78626i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −678.246 | −0.707981 | ||||||||
\(959\) | 1312.14 | − | 824.472i | 1.36824 | − | 0.859721i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 311.685 | − | 647.221i | 0.324334 | − | 0.673486i | ||||
\(962\) | −655.599 | − | 149.636i | −0.681495 | − | 0.155547i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −1047.39 | + | 504.399i | −1.08651 | + | 0.523235i | ||||
\(965\) | 105.024 | + | 932.113i | 0.108833 | + | 0.965920i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −1599.47 | + | 559.679i | −1.65405 | + | 0.578779i | −0.986207 | − | 0.165519i | \(-0.947070\pi\) |
−0.667848 | + | 0.744298i | \(0.732784\pi\) | |||||||
\(968\) | 293.708 | − | 2606.73i | 0.303417 | − | 2.69290i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −217.544 | + | 173.486i | −0.224272 | + | 0.178851i | ||||
\(971\) | 307.298 | − | 489.062i | 0.316476 | − | 0.503668i | −0.650169 | − | 0.759790i | \(-0.725302\pi\) |
0.966645 | + | 0.256122i | \(0.0824447\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 910.151 | + | 1141.29i | 0.935407 | + | 1.17296i | ||||
\(974\) | 127.348 | + | 127.348i | 0.130747 | + | 0.130747i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1432.76 | − | 4094.61i | −1.46800 | − | 4.19529i | ||||
\(977\) | 9.36795 | − | 11.7470i | 0.00958848 | − | 0.0120236i | −0.777014 | − | 0.629483i | \(-0.783267\pi\) |
0.786603 | + | 0.617460i | \(0.211838\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −207.711 | − | 431.316i | −0.212166 | − | 0.440568i | ||||
\(980\) | −51.6273 | − | 226.194i | −0.0526809 | − | 0.230810i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 2002.08 | + | 964.149i | 2.03877 | + | 0.981822i | ||||
\(983\) | −351.298 | + | 1003.95i | −0.357373 | + | 1.02131i | 0.615130 | + | 0.788425i | \(0.289103\pi\) |
−0.972504 | + | 0.232888i | \(0.925182\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 773.741i | 0.785524i | ||||||||
\(986\) | −193.656 | + | 947.626i | −0.196405 | + | 0.961081i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 495.465 | − | 311.321i | 0.501483 | − | 0.315103i | ||||
\(989\) | −293.533 | − | 102.712i | −0.296798 | − | 0.103854i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1086.17 | + | 247.912i | 1.09604 | + | 0.250164i | 0.732058 | − | 0.681243i | \(-0.238560\pi\) |
0.363981 | + | 0.931406i | \(0.381417\pi\) | |||||||
\(992\) | 4373.60 | − | 998.246i | 4.40887 | − | 1.00630i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −261.231 | − | 2318.49i | −0.262808 | − | 2.33249i | ||||
\(995\) | −879.558 | − | 701.424i | −0.883978 | − | 0.704949i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −61.5936 | + | 546.658i | −0.0617790 | + | 0.548303i | 0.924257 | + | 0.381771i | \(0.124686\pi\) |
−0.986036 | + | 0.166533i | \(0.946743\pi\) | |||||||
\(998\) | −2578.07 | + | 2578.07i | −2.58324 | + | 2.58324i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 261.3.s.a.10.4 | 48 | ||
3.2 | odd | 2 | 29.3.f.a.10.1 | yes | 48 | ||
29.3 | odd | 28 | inner | 261.3.s.a.235.4 | 48 | ||
87.32 | even | 28 | 29.3.f.a.3.1 | ✓ | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.3.f.a.3.1 | ✓ | 48 | 87.32 | even | 28 | ||
29.3.f.a.10.1 | yes | 48 | 3.2 | odd | 2 | ||
261.3.s.a.10.4 | 48 | 1.1 | even | 1 | trivial | ||
261.3.s.a.235.4 | 48 | 29.3 | odd | 28 | inner |