Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,3,Mod(2,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.f (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: | \(0.790192766645\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 3.1 | ||
Character | \(\chi\) | \(=\) | 29.3 |
Dual form | 29.3.f.a.10.1 |
$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{28}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.24379 | − | 2.03821i | −1.62189 | − | 1.01910i | −0.963967 | − | 0.266021i | \(-0.914291\pi\) |
−0.657926 | − | 0.753082i | \(-0.728566\pi\) | |||||||
\(3\) | −2.23035 | + | 0.780434i | −0.743450 | + | 0.260145i | −0.675313 | − | 0.737531i | \(-0.735991\pi\) |
−0.0681376 | + | 0.997676i | \(0.521706\pi\) | |||||||
\(4\) | 4.63233 | + | 9.61914i | 1.15808 | + | 2.40479i | ||||
\(5\) | −5.12808 | + | 1.17045i | −1.02562 | + | 0.234090i | −0.702059 | − | 0.712119i | \(-0.747736\pi\) |
−0.323557 | + | 0.946209i | \(0.604879\pi\) | |||||||
\(6\) | 8.82547 | + | 2.01436i | 1.47091 | + | 0.335726i | ||||
\(7\) | −6.56728 | − | 3.16264i | −0.938183 | − | 0.451805i | −0.0986550 | − | 0.995122i | \(-0.531454\pi\) |
−0.839528 | + | 0.543317i | \(0.817168\pi\) | |||||||
\(8\) | 2.86375 | − | 25.4165i | 0.357969 | − | 3.17707i | ||||
\(9\) | −2.67109 | + | 2.13013i | −0.296788 | + | 0.236681i | ||||
\(10\) | 19.0200 | + | 6.65539i | 1.90200 | + | 0.665539i | ||||
\(11\) | −0.480789 | − | 4.26712i | −0.0437081 | − | 0.387920i | −0.996453 | − | 0.0841491i | \(-0.973183\pi\) |
0.952745 | − | 0.303771i | \(-0.0982458\pi\) | |||||||
\(12\) | −17.8388 | − | 17.8388i | −1.48657 | − | 1.48657i | ||||
\(13\) | 2.73044 | + | 2.17745i | 0.210034 | + | 0.167496i | 0.722856 | − | 0.690998i | \(-0.242829\pi\) |
−0.512823 | + | 0.858494i | \(0.671400\pi\) | |||||||
\(14\) | 14.8568 | + | 23.6444i | 1.06120 | + | 1.68888i | ||||
\(15\) | 10.5240 | − | 6.61264i | 0.701597 | − | 0.440843i | ||||
\(16\) | −34.4669 | + | 43.2201i | −2.15418 | + | 2.70126i | ||||
\(17\) | −6.15599 | + | 6.15599i | −0.362117 | + | 0.362117i | −0.864592 | − | 0.502475i | \(-0.832423\pi\) |
0.502475 | + | 0.864592i | \(0.332423\pi\) | |||||||
\(18\) | 13.0061 | − | 1.46544i | 0.722561 | − | 0.0814131i | ||||
\(19\) | 5.18330 | − | 14.8130i | 0.272806 | − | 0.779633i | −0.723224 | − | 0.690613i | \(-0.757341\pi\) |
0.996030 | − | 0.0890201i | \(-0.0283736\pi\) | |||||||
\(20\) | −35.0137 | − | 43.9058i | −1.75069 | − | 2.19529i | ||||
\(21\) | 17.1156 | + | 1.92846i | 0.815027 | + | 0.0918315i | ||||
\(22\) | −7.13770 | + | 14.8216i | −0.324441 | + | 0.673708i | ||||
\(23\) | −3.58915 | + | 15.7251i | −0.156050 | + | 0.683699i | 0.835005 | + | 0.550243i | \(0.185465\pi\) |
−0.991055 | + | 0.133457i | \(0.957392\pi\) | |||||||
\(24\) | 13.4487 | + | 58.9227i | 0.560364 | + | 2.45511i | ||||
\(25\) | 2.40304 | − | 1.15724i | 0.0961215 | − | 0.0462897i | ||||
\(26\) | −4.41886 | − | 12.6284i | −0.169956 | − | 0.485707i | ||||
\(27\) | 15.6096 | − | 24.8425i | 0.578132 | − | 0.920091i | ||||
\(28\) | − | 77.8220i | − | 2.77936i | ||||||
\(29\) | −0.661611 | + | 28.9925i | −0.0228142 | + | 0.999740i | ||||
\(30\) | −47.6154 | −1.58718 | ||||||||
\(31\) | −34.6988 | − | 21.8027i | −1.11931 | − | 0.703312i | −0.160413 | − | 0.987050i | \(-0.551283\pi\) |
−0.958902 | + | 0.283738i | \(0.908425\pi\) | |||||||
\(32\) | 103.327 | − | 36.1556i | 3.22896 | − | 1.12986i | ||||
\(33\) | 4.40253 | + | 9.14195i | 0.133410 | + | 0.277029i | ||||
\(34\) | 32.5159 | − | 7.42154i | 0.956350 | − | 0.218281i | ||||
\(35\) | 37.3793 | + | 8.53157i | 1.06798 | + | 0.243759i | ||||
\(36\) | −32.8634 | − | 15.8262i | −0.912872 | − | 0.439616i | ||||
\(37\) | −5.62751 | + | 49.9455i | −0.152095 | + | 1.34988i | 0.653281 | + | 0.757115i | \(0.273392\pi\) |
−0.805376 | + | 0.592764i | \(0.798037\pi\) | |||||||
\(38\) | −47.0056 | + | 37.4857i | −1.23699 | + | 0.986465i | ||||
\(39\) | −7.78919 | − | 2.72556i | −0.199723 | − | 0.0698860i | ||||
\(40\) | 15.0632 | + | 133.690i | 0.376581 | + | 3.34225i | ||||
\(41\) | −0.940907 | − | 0.940907i | −0.0229490 | − | 0.0229490i | 0.695539 | − | 0.718488i | \(-0.255166\pi\) |
−0.718488 | + | 0.695539i | \(0.755166\pi\) | |||||||
\(42\) | −51.5887 | − | 41.1406i | −1.22830 | − | 0.979538i | ||||
\(43\) | −10.2578 | − | 16.3252i | −0.238554 | − | 0.379657i | 0.705894 | − | 0.708318i | \(-0.250546\pi\) |
−0.944448 | + | 0.328661i | \(0.893403\pi\) | |||||||
\(44\) | 38.8189 | − | 24.3915i | 0.882247 | − | 0.554352i | ||||
\(45\) | 11.2044 | − | 14.0498i | 0.248986 | − | 0.312219i | ||||
\(46\) | 43.6934 | − | 43.6934i | 0.949857 | − | 0.949857i | ||||
\(47\) | −59.1758 | + | 6.66751i | −1.25906 | + | 0.141862i | −0.716160 | − | 0.697936i | \(-0.754102\pi\) |
−0.542899 | + | 0.839798i | \(0.682673\pi\) | |||||||
\(48\) | 43.1429 | − | 123.295i | 0.898810 | − | 2.56865i | ||||
\(49\) | 2.57590 | + | 3.23008i | 0.0525694 | + | 0.0659199i | ||||
\(50\) | −10.1536 | − | 1.14404i | −0.203073 | − | 0.0228808i | ||||
\(51\) | 8.92568 | − | 18.5344i | 0.175013 | − | 0.363419i | ||||
\(52\) | −8.29691 | + | 36.3511i | −0.159556 | + | 0.699060i | ||||
\(53\) | −8.89009 | − | 38.9500i | −0.167738 | − | 0.734906i | −0.986898 | − | 0.161342i | \(-0.948418\pi\) |
0.819161 | − | 0.573564i | \(-0.194439\pi\) | |||||||
\(54\) | −101.268 | + | 48.7682i | −1.87534 | + | 0.903114i | ||||
\(55\) | 7.45998 | + | 21.3194i | 0.135636 | + | 0.387625i | ||||
\(56\) | −99.1903 | + | 157.860i | −1.77125 | + | 2.81894i | ||||
\(57\) | 37.0835i | 0.650588i | ||||||||
\(58\) | 61.2387 | − | 92.6968i | 1.05584 | − | 1.59822i | ||||
\(59\) | 6.74786 | 0.114371 | 0.0571853 | − | 0.998364i | \(-0.481787\pi\) | ||||
0.0571853 | + | 0.998364i | \(0.481787\pi\) | |||||||
\(60\) | 112.358 | + | 70.5995i | 1.87264 | + | 1.17666i | ||||
\(61\) | 74.0694 | − | 25.9180i | 1.21425 | − | 0.424885i | 0.354238 | − | 0.935155i | \(-0.384740\pi\) |
0.860014 | + | 0.510270i | \(0.170454\pi\) | |||||||
\(62\) | 68.1170 | + | 141.446i | 1.09866 | + | 2.28139i | ||||
\(63\) | 24.2786 | − | 5.54144i | 0.385375 | − | 0.0879593i | ||||
\(64\) | −193.284 | − | 44.1159i | −3.02007 | − | 0.689311i | ||||
\(65\) | −16.5505 | − | 7.97030i | −0.254623 | − | 0.122620i | ||||
\(66\) | 4.35231 | − | 38.6278i | 0.0659441 | − | 0.585270i | ||||
\(67\) | 29.6632 | − | 23.6556i | 0.442735 | − | 0.353069i | −0.376609 | − | 0.926373i | \(-0.622910\pi\) |
0.819343 | + | 0.573303i | \(0.194338\pi\) | |||||||
\(68\) | −87.7319 | − | 30.6987i | −1.29018 | − | 0.451452i | ||||
\(69\) | −4.26733 | − | 37.8736i | −0.0618453 | − | 0.548892i | ||||
\(70\) | −103.861 | − | 103.861i | −1.48373 | − | 1.48373i | ||||
\(71\) | 65.3239 | + | 52.0941i | 0.920055 | + | 0.733719i | 0.964164 | − | 0.265308i | \(-0.0854735\pi\) |
−0.0441092 | + | 0.999027i | \(0.514045\pi\) | |||||||
\(72\) | 46.4910 | + | 73.9901i | 0.645709 | + | 1.02764i | ||||
\(73\) | −38.0089 | + | 23.8825i | −0.520669 | + | 0.327158i | −0.766595 | − | 0.642130i | \(-0.778051\pi\) |
0.245926 | + | 0.969289i | \(0.420908\pi\) | |||||||
\(74\) | 120.054 | − | 150.543i | 1.62235 | − | 2.03436i | ||||
\(75\) | −4.45647 | + | 4.45647i | −0.0594196 | + | 0.0594196i | ||||
\(76\) | 166.499 | − | 18.7600i | 2.19078 | − | 0.246842i | ||||
\(77\) | −10.3379 | + | 29.5439i | −0.134258 | + | 0.383687i | ||||
\(78\) | 19.7112 | + | 24.7171i | 0.252708 | + | 0.316886i | ||||
\(79\) | −120.957 | − | 13.6286i | −1.53111 | − | 0.172514i | −0.694169 | − | 0.719813i | \(-0.744228\pi\) |
−0.836938 | + | 0.547298i | \(0.815656\pi\) | |||||||
\(80\) | 126.162 | − | 261.978i | 1.57703 | − | 3.27473i | ||||
\(81\) | −8.58479 | + | 37.6124i | −0.105985 | + | 0.464351i | ||||
\(82\) | 1.13434 | + | 4.96987i | 0.0138334 | + | 0.0606081i | ||||
\(83\) | 7.07418 | − | 3.40675i | 0.0852311 | − | 0.0410451i | −0.390783 | − | 0.920483i | \(-0.627796\pi\) |
0.476014 | + | 0.879438i | \(0.342081\pi\) | |||||||
\(84\) | 60.7349 | + | 173.570i | 0.723034 | + | 2.06631i | ||||
\(85\) | 24.3631 | − | 38.7737i | 0.286625 | − | 0.456161i | ||||
\(86\) | 73.8632i | 0.858875i | ||||||||
\(87\) | −21.1511 | − | 65.1797i | −0.243116 | − | 0.749192i | ||||
\(88\) | −109.832 | −1.24809 | ||||||||
\(89\) | −94.3960 | − | 59.3130i | −1.06063 | − | 0.666438i | −0.115558 | − | 0.993301i | \(-0.536866\pi\) |
−0.945072 | + | 0.326863i | \(0.894008\pi\) | |||||||
\(90\) | −64.9811 | + | 22.7379i | −0.722012 | + | 0.252643i | ||||
\(91\) | −11.0451 | − | 22.9353i | −0.121374 | − | 0.252036i | ||||
\(92\) | −167.888 | + | 38.3193i | −1.82487 | + | 0.416515i | ||||
\(93\) | 94.4060 | + | 21.5475i | 1.01512 | + | 0.231694i | ||||
\(94\) | 205.543 | + | 98.9845i | 2.18663 | + | 1.05303i | ||||
\(95\) | −9.24248 | + | 82.0292i | −0.0972892 | + | 0.863466i | ||||
\(96\) | −202.238 | + | 161.279i | −2.10665 | + | 1.67999i | ||||
\(97\) | −13.0335 | − | 4.56061i | −0.134366 | − | 0.0470166i | 0.262259 | − | 0.964998i | \(-0.415533\pi\) |
−0.396624 | + | 0.917981i | \(0.629818\pi\) | |||||||
\(98\) | −1.77211 | − | 15.7279i | −0.0180827 | − | 0.160489i | ||||
\(99\) | 10.3737 | + | 10.3737i | 0.104785 | + | 0.104785i | ||||
\(100\) | 22.2633 | + | 17.7544i | 0.222633 | + | 0.177544i | ||||
\(101\) | −63.8690 | − | 101.647i | −0.632366 | − | 1.00640i | −0.997160 | − | 0.0753164i | \(-0.976003\pi\) |
0.364794 | − | 0.931088i | \(-0.381140\pi\) | |||||||
\(102\) | −66.7299 | + | 41.9291i | −0.654214 | + | 0.411070i | ||||
\(103\) | −26.7668 | + | 33.5645i | −0.259872 | + | 0.325869i | −0.894601 | − | 0.446866i | \(-0.852540\pi\) |
0.634729 | + | 0.772734i | \(0.281112\pi\) | |||||||
\(104\) | 63.1625 | − | 63.1625i | 0.607332 | − | 0.607332i | ||||
\(105\) | −90.0272 | + | 10.1436i | −0.857402 | + | 0.0966060i | ||||
\(106\) | −50.5506 | + | 144.465i | −0.476893 | + | 1.36288i | ||||
\(107\) | 3.07678 | + | 3.85816i | 0.0287549 | + | 0.0360575i | 0.796001 | − | 0.605295i | \(-0.206945\pi\) |
−0.767246 | + | 0.641353i | \(0.778374\pi\) | |||||||
\(108\) | 311.272 | + | 35.0719i | 2.88215 | + | 0.324740i | ||||
\(109\) | −91.6589 | + | 190.332i | −0.840907 | + | 1.74616i | −0.198024 | + | 0.980197i | \(0.563452\pi\) |
−0.642883 | + | 0.765964i | \(0.722262\pi\) | |||||||
\(110\) | 19.2548 | − | 84.3606i | 0.175043 | − | 0.766914i | ||||
\(111\) | −26.4279 | − | 115.788i | −0.238089 | − | 1.04314i | ||||
\(112\) | 363.043 | − | 174.833i | 3.24146 | − | 1.56100i | ||||
\(113\) | 32.9621 | + | 94.2003i | 0.291700 | + | 0.833631i | 0.992715 | + | 0.120484i | \(0.0384448\pi\) |
−0.701015 | + | 0.713146i | \(0.747270\pi\) | |||||||
\(114\) | 75.5838 | − | 120.291i | 0.663016 | − | 1.05518i | ||||
\(115\) | − | 84.8404i | − | 0.737743i | ||||||
\(116\) | −281.947 | + | 127.939i | −2.43058 | + | 1.10292i | ||||
\(117\) | −11.9315 | −0.101979 | ||||||||
\(118\) | −21.8886 | − | 13.7535i | −0.185497 | − | 0.116555i | ||||
\(119\) | 59.8973 | − | 20.9590i | 0.503338 | − | 0.176126i | ||||
\(120\) | −137.932 | − | 286.419i | −1.14944 | − | 2.38683i | ||||
\(121\) | 99.9891 | − | 22.8219i | 0.826356 | − | 0.188610i | ||||
\(122\) | −293.092 | − | 66.8963i | −2.40239 | − | 0.548330i | ||||
\(123\) | 2.83287 | + | 1.36424i | 0.0230315 | + | 0.0110914i | ||||
\(124\) | 48.9868 | − | 434.770i | 0.395055 | − | 3.50621i | ||||
\(125\) | 91.8416 | − | 73.2412i | 0.734733 | − | 0.585930i | ||||
\(126\) | −90.0493 | − | 31.5096i | −0.714677 | − | 0.250076i | ||||
\(127\) | 12.5115 | + | 111.043i | 0.0985161 | + | 0.874355i | 0.941637 | + | 0.336630i | \(0.109287\pi\) |
−0.843121 | + | 0.537724i | \(0.819284\pi\) | |||||||
\(128\) | 227.428 | + | 227.428i | 1.77678 | + | 1.77678i | ||||
\(129\) | 35.6193 | + | 28.4055i | 0.276119 | + | 0.220198i | ||||
\(130\) | 37.4412 | + | 59.5873i | 0.288009 | + | 0.458364i | ||||
\(131\) | 162.714 | − | 102.240i | 1.24209 | − | 0.780456i | 0.259409 | − | 0.965768i | \(-0.416472\pi\) |
0.982680 | + | 0.185311i | \(0.0593293\pi\) | |||||||
\(132\) | −67.5437 | + | 84.6972i | −0.511695 | + | 0.641645i | ||||
\(133\) | −80.8884 | + | 80.8884i | −0.608184 | + | 0.608184i | ||||
\(134\) | −144.436 | + | 16.2741i | −1.07788 | + | 0.121448i | ||||
\(135\) | −50.9702 | + | 145.664i | −0.377557 | + | 1.07900i | ||||
\(136\) | 138.835 | + | 174.093i | 1.02084 | + | 1.28010i | ||||
\(137\) | 211.263 | + | 23.8036i | 1.54206 | + | 0.173749i | 0.841664 | − | 0.540002i | \(-0.181576\pi\) |
0.700400 | + | 0.713750i | \(0.253005\pi\) | |||||||
\(138\) | −63.3518 | + | 131.551i | −0.459071 | + | 0.953272i | ||||
\(139\) | −44.5635 | + | 195.245i | −0.320601 | + | 1.40464i | 0.515887 | + | 0.856657i | \(0.327463\pi\) |
−0.836487 | + | 0.547986i | \(0.815395\pi\) | |||||||
\(140\) | 91.0868 | + | 399.077i | 0.650620 | + | 2.85055i | ||||
\(141\) | 126.779 | − | 61.0537i | 0.899144 | − | 0.433005i | ||||
\(142\) | −105.718 | − | 302.126i | −0.744495 | − | 2.12764i | ||||
\(143\) | 7.97868 | − | 12.6980i | 0.0557950 | − | 0.0887972i | ||||
\(144\) | − | 188.864i | − | 1.31156i | ||||||
\(145\) | −30.5414 | − | 149.450i | −0.210631 | − | 1.03069i | ||||
\(146\) | 171.970 | 1.17788 | ||||||||
\(147\) | −8.26602 | − | 5.19389i | −0.0562315 | − | 0.0353326i | ||||
\(148\) | −506.502 | + | 177.233i | −3.42231 | + | 1.19752i | ||||
\(149\) | −113.849 | − | 236.410i | −0.764087 | − | 1.58664i | −0.809110 | − | 0.587657i | \(-0.800051\pi\) |
0.0450238 | − | 0.998986i | \(-0.485664\pi\) | |||||||
\(150\) | 23.5390 | − | 5.37263i | 0.156927 | − | 0.0358175i | ||||
\(151\) | 126.068 | + | 28.7742i | 0.834887 | + | 0.190558i | 0.618534 | − | 0.785758i | \(-0.287727\pi\) |
0.216353 | + | 0.976315i | \(0.430584\pi\) | |||||||
\(152\) | −361.652 | − | 174.162i | −2.37929 | − | 1.14581i | ||||
\(153\) | 3.33019 | − | 29.5563i | 0.0217659 | − | 0.193178i | ||||
\(154\) | 93.7505 | − | 74.7635i | 0.608769 | − | 0.485477i | ||||
\(155\) | 203.457 | + | 71.1927i | 1.31263 | + | 0.459308i | ||||
\(156\) | −9.86463 | − | 87.5510i | −0.0632348 | − | 0.561224i | ||||
\(157\) | −68.2720 | − | 68.2720i | −0.434854 | − | 0.434854i | 0.455422 | − | 0.890276i | \(-0.349488\pi\) |
−0.890276 | + | 0.455422i | \(0.849488\pi\) | |||||||
\(158\) | 364.582 | + | 290.744i | 2.30748 | + | 1.84016i | ||||
\(159\) | 50.2259 | + | 79.9341i | 0.315886 | + | 0.502730i | ||||
\(160\) | −487.550 | + | 306.348i | −3.04719 | + | 1.91467i | ||||
\(161\) | 73.3037 | − | 91.9199i | 0.455302 | − | 0.570931i | ||||
\(162\) | 104.509 | − | 104.509i | 0.645118 | − | 0.645118i | ||||
\(163\) | −91.2607 | + | 10.2826i | −0.559882 | + | 0.0630835i | −0.387371 | − | 0.921924i | \(-0.626617\pi\) |
−0.172511 | + | 0.985008i | \(0.555188\pi\) | |||||||
\(164\) | 4.69212 | − | 13.4093i | 0.0286105 | − | 0.0817641i | ||||
\(165\) | −33.2768 | − | 41.7277i | −0.201677 | − | 0.252895i | ||||
\(166\) | −29.8908 | − | 3.36788i | −0.180065 | − | 0.0202885i | ||||
\(167\) | −49.7396 | + | 103.285i | −0.297842 | + | 0.618475i | −0.995158 | − | 0.0982887i | \(-0.968663\pi\) |
0.697316 | + | 0.716764i | \(0.254377\pi\) | |||||||
\(168\) | 98.0296 | − | 429.496i | 0.583509 | − | 2.55652i | ||||
\(169\) | −34.8920 | − | 152.872i | −0.206462 | − | 0.904568i | ||||
\(170\) | −158.058 | + | 76.1165i | −0.929751 | + | 0.447744i | ||||
\(171\) | 17.7085 | + | 50.6081i | 0.103559 | + | 0.295954i | ||||
\(172\) | 109.517 | − | 174.296i | 0.636728 | − | 1.01335i | ||||
\(173\) | 85.8359i | 0.496161i | 0.968739 | + | 0.248081i | \(0.0797998\pi\) | ||||
−0.968739 | + | 0.248081i | \(0.920200\pi\) | |||||||
\(174\) | −64.2401 | + | 254.539i | −0.369196 | + | 1.46287i | ||||
\(175\) | −19.4414 | −0.111093 | ||||||||
\(176\) | 200.997 | + | 126.295i | 1.14203 | + | 0.717584i | ||||
\(177\) | −15.0501 | + | 5.26626i | −0.0850288 | + | 0.0297529i | ||||
\(178\) | 185.309 | + | 384.797i | 1.04106 | + | 2.16178i | ||||
\(179\) | −82.0781 | + | 18.7338i | −0.458537 | + | 0.104658i | −0.445549 | − | 0.895258i | \(-0.646991\pi\) |
−0.0129880 | + | 0.999916i | \(0.504134\pi\) | |||||||
\(180\) | 187.050 | + | 42.6929i | 1.03917 | + | 0.237183i | ||||
\(181\) | −34.3159 | − | 16.5257i | −0.189591 | − | 0.0913021i | 0.336680 | − | 0.941619i | \(-0.390696\pi\) |
−0.526271 | + | 0.850317i | \(0.676410\pi\) | |||||||
\(182\) | −10.9191 | + | 96.9094i | −0.0599949 | + | 0.532469i | ||||
\(183\) | −144.974 | + | 115.613i | −0.792205 | + | 0.631762i | ||||
\(184\) | 389.399 | + | 136.256i | 2.11630 | + | 0.740524i | ||||
\(185\) | −29.6005 | − | 262.712i | −0.160003 | − | 1.42006i | ||||
\(186\) | −262.315 | − | 262.315i | −1.41029 | − | 1.41029i | ||||
\(187\) | 29.2281 | + | 23.3086i | 0.156300 | + | 0.124645i | ||||
\(188\) | −338.258 | − | 538.334i | −1.79924 | − | 2.86348i | ||||
\(189\) | −181.080 | + | 113.780i | −0.958095 | + | 0.602011i | ||||
\(190\) | 197.173 | − | 247.247i | 1.03775 | − | 1.30130i | ||||
\(191\) | −189.648 | + | 189.648i | −0.992922 | + | 0.992922i | −0.999975 | − | 0.00705344i | \(-0.997755\pi\) |
0.00705344 | + | 0.999975i | \(0.497755\pi\) | |||||||
\(192\) | 465.521 | − | 52.4517i | 2.42459 | − | 0.273186i | ||||
\(193\) | 58.8988 | − | 168.323i | 0.305175 | − | 0.872141i | −0.684525 | − | 0.728989i | \(-0.739991\pi\) |
0.989701 | − | 0.143152i | \(-0.0457237\pi\) | |||||||
\(194\) | 32.9823 | + | 41.3585i | 0.170012 | + | 0.213188i | ||||
\(195\) | 43.1337 | + | 4.86000i | 0.221199 | + | 0.0249231i | ||||
\(196\) | −19.1381 | + | 39.7408i | −0.0976436 | + | 0.202759i | ||||
\(197\) | −32.7329 | + | 143.412i | −0.166157 | + | 0.727980i | 0.821353 | + | 0.570421i | \(0.193220\pi\) |
−0.987509 | + | 0.157560i | \(0.949637\pi\) | |||||||
\(198\) | −12.5064 | − | 54.7940i | −0.0631635 | − | 0.276737i | ||||
\(199\) | −192.699 | + | 92.7988i | −0.968335 | + | 0.466326i | −0.850078 | − | 0.526657i | \(-0.823445\pi\) |
−0.118257 | + | 0.992983i | \(0.537731\pi\) | |||||||
\(200\) | −22.5314 | − | 64.3909i | −0.112657 | − | 0.321955i | ||||
\(201\) | −47.6978 | + | 75.9105i | −0.237302 | + | 0.377664i | ||||
\(202\) | 459.899i | 2.27673i | ||||||||
\(203\) | 96.0375 | − | 188.309i | 0.473091 | − | 0.927631i | ||||
\(204\) | 219.631 | 1.07662 | ||||||||
\(205\) | 5.92633 | + | 3.72376i | 0.0289089 | + | 0.0181647i | ||||
\(206\) | 155.237 | − | 54.3198i | 0.753578 | − | 0.263688i | ||||
\(207\) | −23.9095 | − | 49.6485i | −0.115505 | − | 0.239848i | ||||
\(208\) | −188.220 | + | 42.9599i | −0.904901 | + | 0.206538i | ||||
\(209\) | −65.7011 | − | 14.9958i | −0.314359 | − | 0.0717504i | ||||
\(210\) | 312.704 | + | 150.590i | 1.48907 | + | 0.717096i | ||||
\(211\) | −1.09661 | + | 9.73273i | −0.00519723 | + | 0.0461267i | −0.996043 | − | 0.0888710i | \(-0.971674\pi\) |
0.990846 | + | 0.134998i | \(0.0431027\pi\) | |||||||
\(212\) | 333.484 | − | 265.945i | 1.57304 | − | 1.25446i | ||||
\(213\) | −186.351 | − | 65.2071i | −0.874888 | − | 0.306137i | ||||
\(214\) | −2.11669 | − | 18.7861i | −0.00989107 | − | 0.0877857i | ||||
\(215\) | 71.7109 | + | 71.7109i | 0.333539 | + | 0.333539i | ||||
\(216\) | −586.707 | − | 467.883i | −2.71624 | − | 2.16613i | ||||
\(217\) | 158.923 | + | 252.924i | 0.732362 | + | 1.16555i | ||||
\(218\) | 685.257 | − | 430.576i | 3.14338 | − | 1.97512i | ||||
\(219\) | 66.1344 | − | 82.9299i | 0.301983 | − | 0.378675i | ||||
\(220\) | −170.517 | + | 170.517i | −0.775078 | + | 0.775078i | ||||
\(221\) | −30.2129 | + | 3.40418i | −0.136710 | + | 0.0154035i | ||||
\(222\) | −150.274 | + | 429.457i | −0.676908 | + | 1.93449i | ||||
\(223\) | −200.825 | − | 251.827i | −0.900562 | − | 1.12927i | −0.991066 | − | 0.133373i | \(-0.957419\pi\) |
0.0905034 | − | 0.995896i | \(-0.471152\pi\) | |||||||
\(224\) | −792.923 | − | 89.3410i | −3.53984 | − | 0.398844i | ||||
\(225\) | −3.95367 | + | 8.20987i | −0.0175719 | + | 0.0364883i | ||||
\(226\) | 85.0776 | − | 372.749i | 0.376449 | − | 1.64933i | ||||
\(227\) | −57.8450 | − | 253.436i | −0.254824 | − | 1.11646i | −0.926703 | − | 0.375796i | \(-0.877370\pi\) |
0.671879 | − | 0.740661i | \(-0.265488\pi\) | |||||||
\(228\) | −356.711 | + | 171.783i | −1.56452 | + | 0.753435i | ||||
\(229\) | 96.5555 | + | 275.940i | 0.421640 | + | 1.20498i | 0.937403 | + | 0.348246i | \(0.113223\pi\) |
−0.515764 | + | 0.856731i | \(0.672492\pi\) | |||||||
\(230\) | −172.922 | + | 275.204i | −0.751836 | + | 1.19654i | ||||
\(231\) | − | 73.9614i | − | 0.320179i | ||||||
\(232\) | 734.993 | + | 99.8431i | 3.16807 | + | 0.430358i | ||||
\(233\) | −8.24553 | −0.0353885 | −0.0176943 | − | 0.999843i | \(-0.505633\pi\) | ||||
−0.0176943 | + | 0.999843i | \(0.505633\pi\) | |||||||
\(234\) | 38.7032 | + | 24.3189i | 0.165398 | + | 0.103927i | ||||
\(235\) | 295.654 | − | 103.454i | 1.25810 | − | 0.440229i | ||||
\(236\) | 31.2584 | + | 64.9086i | 0.132451 | + | 0.275037i | ||||
\(237\) | 280.414 | − | 64.0026i | 1.18318 | − | 0.270053i | ||||
\(238\) | −237.013 | − | 54.0966i | −0.995851 | − | 0.227297i | ||||
\(239\) | −144.107 | − | 69.3984i | −0.602959 | − | 0.290370i | 0.107392 | − | 0.994217i | \(-0.465750\pi\) |
−0.710352 | + | 0.703847i | \(0.751464\pi\) | |||||||
\(240\) | −76.9291 | + | 682.765i | −0.320538 | + | 2.84485i | ||||
\(241\) | −85.1309 | + | 67.8896i | −0.353240 | + | 0.281700i | −0.783992 | − | 0.620771i | \(-0.786820\pi\) |
0.430752 | + | 0.902470i | \(0.358248\pi\) | |||||||
\(242\) | −370.859 | − | 129.769i | −1.53248 | − | 0.536236i | ||||
\(243\) | 19.3579 | + | 171.806i | 0.0796622 | + | 0.707022i | ||||
\(244\) | 592.423 | + | 592.423i | 2.42796 | + | 2.42796i | ||||
\(245\) | −16.9901 | − | 13.5491i | −0.0693472 | − | 0.0553026i | ||||
\(246\) | −6.40863 | − | 10.1993i | −0.0260513 | − | 0.0414605i | ||||
\(247\) | 46.4073 | − | 29.1597i | 0.187884 | − | 0.118055i | ||||
\(248\) | −653.517 | + | 819.484i | −2.63515 | + | 3.30437i | ||||
\(249\) | −13.1192 | + | 13.1192i | −0.0526874 | + | 0.0526874i | ||||
\(250\) | −447.195 | + | 50.3868i | −1.78878 | + | 0.201547i | ||||
\(251\) | 3.89158 | − | 11.1215i | 0.0155043 | − | 0.0443088i | −0.935871 | − | 0.352342i | \(-0.885385\pi\) |
0.951375 | + | 0.308034i | \(0.0996709\pi\) | |||||||
\(252\) | 165.771 | + | 207.870i | 0.657820 | + | 0.824880i | ||||
\(253\) | 68.8265 | + | 7.75488i | 0.272041 | + | 0.0306517i | ||||
\(254\) | 185.744 | − | 385.701i | 0.731275 | − | 1.51851i | ||||
\(255\) | −24.0780 | + | 105.493i | −0.0944237 | + | 0.413697i | ||||
\(256\) | −97.7195 | − | 428.137i | −0.381717 | − | 1.67241i | ||||
\(257\) | 63.5682 | − | 30.6128i | 0.247347 | − | 0.119116i | −0.306103 | − | 0.951998i | \(-0.599025\pi\) |
0.553450 | + | 0.832882i | \(0.313311\pi\) | |||||||
\(258\) | −57.6453 | − | 164.741i | −0.223432 | − | 0.638531i | ||||
\(259\) | 194.917 | − | 310.209i | 0.752575 | − | 1.19772i | ||||
\(260\) | − | 196.123i | − | 0.754318i | ||||||
\(261\) | −59.9903 | − | 78.8509i | −0.229848 | − | 0.302111i | ||||
\(262\) | −736.194 | −2.80990 | ||||||||
\(263\) | −50.8493 | − | 31.9507i | −0.193343 | − | 0.121486i | 0.431881 | − | 0.901930i | \(-0.357850\pi\) |
−0.625225 | + | 0.780445i | \(0.714993\pi\) | |||||||
\(264\) | 244.964 | − | 85.7168i | 0.927895 | − | 0.324685i | ||||
\(265\) | 91.1782 | + | 189.333i | 0.344069 | + | 0.714466i | ||||
\(266\) | 427.252 | − | 97.5175i | 1.60621 | − | 0.366607i | ||||
\(267\) | 256.826 | + | 58.6189i | 0.961896 | + | 0.219546i | ||||
\(268\) | 364.957 | + | 175.754i | 1.36178 | + | 0.655798i | ||||
\(269\) | −18.2957 | + | 162.379i | −0.0680138 | + | 0.603640i | 0.912761 | + | 0.408495i | \(0.133946\pi\) |
−0.980774 | + | 0.195145i | \(0.937482\pi\) | |||||||
\(270\) | 462.230 | − | 368.616i | 1.71196 | − | 1.36525i | ||||
\(271\) | −198.079 | − | 69.3110i | −0.730920 | − | 0.255760i | −0.0609426 | − | 0.998141i | \(-0.519411\pi\) |
−0.669978 | + | 0.742381i | \(0.733696\pi\) | |||||||
\(272\) | −53.8848 | − | 478.241i | −0.198106 | − | 1.75824i | ||||
\(273\) | 42.5338 | + | 42.5338i | 0.155802 | + | 0.155802i | ||||
\(274\) | −636.775 | − | 507.811i | −2.32400 | − | 1.85332i | ||||
\(275\) | −6.09344 | − | 9.69766i | −0.0221580 | − | 0.0352642i | ||||
\(276\) | 344.543 | − | 216.491i | 1.24835 | − | 0.784388i | ||||
\(277\) | 35.9969 | − | 45.1387i | 0.129953 | − | 0.162956i | −0.712598 | − | 0.701573i | \(-0.752482\pi\) |
0.842551 | + | 0.538617i | \(0.181053\pi\) | |||||||
\(278\) | 542.505 | − | 542.505i | 1.95146 | − | 1.95146i | ||||
\(279\) | 139.126 | − | 15.6757i | 0.498660 | − | 0.0561855i | ||||
\(280\) | 323.888 | − | 925.618i | 1.15674 | − | 3.30578i | ||||
\(281\) | 176.539 | + | 221.372i | 0.628251 | + | 0.787802i | 0.989479 | − | 0.144675i | \(-0.0462138\pi\) |
−0.361228 | + | 0.932478i | \(0.617642\pi\) | |||||||
\(282\) | −535.685 | − | 60.3572i | −1.89959 | − | 0.214033i | ||||
\(283\) | 96.2836 | − | 199.935i | 0.340225 | − | 0.706484i | −0.658721 | − | 0.752387i | \(-0.728902\pi\) |
0.998946 | + | 0.0459032i | \(0.0146166\pi\) | |||||||
\(284\) | −198.498 | + | 869.677i | −0.698937 | + | 3.06224i | ||||
\(285\) | −43.4044 | − | 190.167i | −0.152296 | − | 0.667253i | ||||
\(286\) | −51.7623 | + | 24.9274i | −0.180987 | + | 0.0871588i | ||||
\(287\) | 3.20345 | + | 9.15495i | 0.0111619 | + | 0.0318988i | ||||
\(288\) | −198.980 | + | 316.674i | −0.690901 | + | 1.09956i | ||||
\(289\) | 213.208i | 0.737742i | ||||||||
\(290\) | −205.540 | + | 547.034i | −0.708759 | + | 1.88632i | ||||
\(291\) | 32.6284 | 0.112125 | ||||||||
\(292\) | −405.799 | − | 254.981i | −1.38972 | − | 0.873221i | ||||
\(293\) | 23.2034 | − | 8.11923i | 0.0791926 | − | 0.0277107i | −0.290392 | − | 0.956908i | \(-0.593786\pi\) |
0.369585 | + | 0.929197i | \(0.379500\pi\) | |||||||
\(294\) | 16.2270 | + | 33.6957i | 0.0551939 | + | 0.114611i | ||||
\(295\) | −34.6036 | + | 7.89804i | −0.117300 | + | 0.0267730i | ||||
\(296\) | 1253.33 | + | 286.064i | 4.23421 | + | 0.966431i | ||||
\(297\) | −113.511 | − | 54.6639i | −0.382191 | − | 0.184053i | ||||
\(298\) | −112.550 | + | 998.910i | −0.377685 | + | 3.35205i | ||||
\(299\) | −44.0406 | + | 35.1212i | −0.147293 | + | 0.117462i | ||||
\(300\) | −63.5112 | − | 22.2235i | −0.211704 | − | 0.0740785i | ||||
\(301\) | 15.7353 | + | 139.654i | 0.0522766 | + | 0.463968i | ||||
\(302\) | −350.290 | − | 350.290i | −1.15990 | − | 1.15990i | ||||
\(303\) | 221.779 | + | 176.863i | 0.731943 | + | 0.583705i | ||||
\(304\) | 461.569 | + | 734.583i | 1.51832 | + | 2.41639i | ||||
\(305\) | −349.498 | + | 219.604i | −1.14590 | + | 0.720014i | ||||
\(306\) | −71.0442 | + | 89.0866i | −0.232171 | + | 0.291133i | ||||
\(307\) | −96.2745 | + | 96.2745i | −0.313598 | + | 0.313598i | −0.846302 | − | 0.532704i | \(-0.821176\pi\) |
0.532704 | + | 0.846302i | \(0.321176\pi\) | |||||||
\(308\) | −332.076 | + | 37.4160i | −1.07817 | + | 0.121480i | ||||
\(309\) | 33.5045 | − | 95.7503i | 0.108429 | − | 0.309871i | ||||
\(310\) | −514.866 | − | 645.621i | −1.66086 | − | 2.08265i | ||||
\(311\) | −305.576 | − | 34.4302i | −0.982561 | − | 0.110708i | −0.393956 | − | 0.919129i | \(-0.628894\pi\) |
−0.588604 | + | 0.808421i | \(0.700322\pi\) | |||||||
\(312\) | −91.5805 | + | 190.169i | −0.293527 | + | 0.609515i | ||||
\(313\) | 77.7372 | − | 340.589i | 0.248362 | − | 1.08814i | −0.684813 | − | 0.728719i | \(-0.740116\pi\) |
0.933174 | − | 0.359424i | \(-0.117027\pi\) | |||||||
\(314\) | 82.3074 | + | 360.612i | 0.262126 | + | 1.14845i | ||||
\(315\) | −118.017 | + | 56.8339i | −0.374656 | + | 0.180425i | ||||
\(316\) | −429.219 | − | 1226.64i | −1.35829 | − | 3.88177i | ||||
\(317\) | −158.784 | + | 252.704i | −0.500896 | + | 0.797172i | −0.997490 | − | 0.0708112i | \(-0.977441\pi\) |
0.496593 | + | 0.867983i | \(0.334584\pi\) | |||||||
\(318\) | − | 361.660i | − | 1.13730i | ||||||
\(319\) | 124.032 | − | 11.1161i | 0.388816 | − | 0.0348466i | ||||
\(320\) | 1042.81 | 3.25879 | ||||||||
\(321\) | −9.87333 | − | 6.20382i | −0.0307580 | − | 0.0193266i | ||||
\(322\) | −425.133 | + | 148.761i | −1.32029 | + | 0.461989i | ||||
\(323\) | 59.2805 | + | 123.097i | 0.183531 | + | 0.381106i | ||||
\(324\) | −401.567 | + | 91.6551i | −1.23940 | + | 0.282886i | ||||
\(325\) | 9.08118 | + | 2.07272i | 0.0279421 | + | 0.00637760i | ||||
\(326\) | 316.988 | + | 152.654i | 0.972357 | + | 0.468262i | ||||
\(327\) | 55.8903 | − | 496.040i | 0.170918 | − | 1.51694i | ||||
\(328\) | −26.6091 | + | 21.2201i | −0.0811254 | + | 0.0646953i | ||||
\(329\) | 409.711 | + | 143.364i | 1.24532 | + | 0.435757i | ||||
\(330\) | 22.8930 | + | 203.181i | 0.0693727 | + | 0.615699i | ||||
\(331\) | −26.9231 | − | 26.9231i | −0.0813386 | − | 0.0813386i | 0.665267 | − | 0.746606i | \(-0.268318\pi\) |
−0.746606 | + | 0.665267i | \(0.768318\pi\) | |||||||
\(332\) | 65.5400 | + | 52.2664i | 0.197410 | + | 0.157429i | ||||
\(333\) | −91.3587 | − | 145.397i | −0.274350 | − | 0.436626i | ||||
\(334\) | 371.862 | − | 233.656i | 1.11336 | − | 0.699569i | ||||
\(335\) | −124.428 | + | 156.027i | −0.371426 | + | 0.465753i | ||||
\(336\) | −673.269 | + | 673.269i | −2.00378 | + | 2.00378i | ||||
\(337\) | 68.6759 | − | 7.73791i | 0.203786 | − | 0.0229612i | −0.00948132 | − | 0.999955i | \(-0.503018\pi\) |
0.213267 | + | 0.976994i | \(0.431589\pi\) | |||||||
\(338\) | −198.402 | + | 567.002i | −0.586989 | + | 1.67752i | ||||
\(339\) | −147.034 | − | 184.375i | −0.433729 | − | 0.543879i | ||||
\(340\) | 485.828 | + | 54.7397i | 1.42891 | + | 0.160999i | ||||
\(341\) | −76.3519 | + | 158.546i | −0.223906 | + | 0.464945i | ||||
\(342\) | 45.7070 | − | 200.256i | 0.133646 | − | 0.585542i | ||||
\(343\) | 72.7761 | + | 318.853i | 0.212175 | + | 0.929601i | ||||
\(344\) | −444.307 | + | 213.967i | −1.29159 | + | 0.621997i | ||||
\(345\) | 66.2123 | + | 189.224i | 0.191920 | + | 0.548475i | ||||
\(346\) | 174.951 | − | 278.433i | 0.505639 | − | 0.804720i | ||||
\(347\) | − | 255.048i | − | 0.735009i | −0.930022 | − | 0.367505i | \(-0.880212\pi\) | ||
0.930022 | − | 0.367505i | \(-0.119788\pi\) | |||||||
\(348\) | 528.994 | − | 505.389i | 1.52010 | − | 1.45227i | ||||
\(349\) | 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 | ||||
\(351\) | 96.7141 | − | 33.8417i | 0.275539 | − | 0.0964152i | ||||
\(352\) | −203.959 | − | 423.525i | −0.579428 | − | 1.20320i | ||||
\(353\) | −630.205 | + | 143.840i | −1.78528 | + | 0.407479i | −0.982116 | − | 0.188274i | \(-0.939711\pi\) |
−0.803167 | + | 0.595754i | \(0.796853\pi\) | |||||||
\(354\) | 59.5531 | + | 13.5926i | 0.168229 | + | 0.0383972i | ||||
\(355\) | −395.960 | − | 190.684i | −1.11538 | − | 0.537138i | ||||
\(356\) | 133.266 | − | 1182.77i | 0.374342 | − | 3.32238i | ||||
\(357\) | −117.235 | + | 93.4917i | −0.328389 | + | 0.261881i | ||||
\(358\) | 304.427 | + | 106.524i | 0.850356 | + | 0.297552i | ||||
\(359\) | −1.72924 | − | 15.3474i | −0.00481682 | − | 0.0427505i | 0.991074 | − | 0.133314i | \(-0.0425618\pi\) |
−0.995891 | + | 0.0905633i | \(0.971133\pi\) | |||||||
\(360\) | −325.012 | − | 325.012i | −0.902810 | − | 0.902810i | ||||
\(361\) | 89.6819 | + | 71.5189i | 0.248426 | + | 0.198113i | ||||
\(362\) | 77.6308 | + | 123.549i | 0.214450 | + | 0.341295i | ||||
\(363\) | −205.200 | + | 128.936i | −0.565289 | + | 0.355195i | ||||
\(364\) | 169.454 | − | 212.488i | 0.465532 | − | 0.583758i | ||||
\(365\) | 166.959 | − | 166.959i | 0.457422 | − | 0.457422i | ||||
\(366\) | 705.906 | − | 79.5365i | 1.92870 | − | 0.217313i | ||||
\(367\) | 218.637 | − | 624.829i | 0.595741 | − | 1.70253i | −0.109883 | − | 0.993945i | \(-0.535048\pi\) |
0.705624 | − | 0.708586i | \(-0.250667\pi\) | |||||||
\(368\) | −555.934 | − | 697.119i | −1.51069 | − | 1.89434i | ||||
\(369\) | 4.51750 | + | 0.509000i | 0.0122426 | + | 0.00137940i | ||||
\(370\) | −439.443 | + | 912.512i | −1.18768 | + | 2.46625i | ||||
\(371\) | −64.8010 | + | 283.912i | −0.174666 | + | 0.765261i | ||||
\(372\) | 230.051 | + | 1007.92i | 0.618417 | + | 2.70946i | ||||
\(373\) | 398.567 | − | 191.940i | 1.06854 | − | 0.514584i | 0.184907 | − | 0.982756i | \(-0.440802\pi\) |
0.883637 | + | 0.468173i | \(0.155087\pi\) | |||||||
\(374\) | −47.3019 | − | 135.181i | −0.126476 | − | 0.361447i | ||||
\(375\) | −147.679 | + | 235.030i | −0.393811 | + | 0.626746i | ||||
\(376\) | 1523.14i | 4.05090i | ||||||||
\(377\) | −64.9361 | + | 77.7214i | −0.172244 | + | 0.206158i | ||||
\(378\) | 819.292 | 2.16744 | ||||||||
\(379\) | −78.5862 | − | 49.3790i | −0.207352 | − | 0.130288i | 0.424353 | − | 0.905497i | \(-0.360502\pi\) |
−0.631705 | + | 0.775209i | \(0.717644\pi\) | |||||||
\(380\) | −831.865 | + | 291.082i | −2.18912 | + | 0.766006i | ||||
\(381\) | −114.567 | − | 237.901i | −0.300700 | − | 0.624411i | ||||
\(382\) | 1001.72 | − | 228.636i | 2.62230 | − | 0.598524i | ||||
\(383\) | 52.6752 | + | 12.0228i | 0.137533 | + | 0.0313911i | 0.290733 | − | 0.956804i | \(-0.406101\pi\) |
−0.153200 | + | 0.988195i | \(0.548958\pi\) | |||||||
\(384\) | −684.737 | − | 329.752i | −1.78317 | − | 0.858729i | ||||
\(385\) | 18.4337 | − | 163.604i | 0.0478798 | − | 0.424945i | ||||
\(386\) | −534.133 | + | 425.957i | −1.38376 | + | 1.10351i | ||||
\(387\) | 62.1745 | + | 21.7558i | 0.160658 | + | 0.0562165i | ||||
\(388\) | −16.5062 | − | 146.497i | −0.0425419 | − | 0.377570i | ||||
\(389\) | −220.798 | − | 220.798i | −0.567605 | − | 0.567605i | 0.363852 | − | 0.931457i | \(-0.381461\pi\) |
−0.931457 | + | 0.363852i | \(0.881461\pi\) | |||||||
\(390\) | −130.011 | − | 103.680i | −0.333361 | − | 0.265847i | ||||
\(391\) | −74.7087 | − | 118.898i | −0.191071 | − | 0.304088i | ||||
\(392\) | 89.4741 | − | 56.2203i | 0.228250 | − | 0.143419i | ||||
\(393\) | −283.117 | + | 355.018i | −0.720400 | + | 0.903353i | ||||
\(394\) | 398.482 | − | 398.482i | 1.01138 | − | 1.01138i | ||||
\(395\) | 636.231 | − | 71.6860i | 1.61071 | − | 0.181484i | ||||
\(396\) | −51.7318 | + | 147.841i | −0.130636 | + | 0.373336i | ||||
\(397\) | 487.205 | + | 610.936i | 1.22722 | + | 1.53888i | 0.752251 | + | 0.658876i | \(0.228968\pi\) |
0.474965 | + | 0.880005i | \(0.342461\pi\) | |||||||
\(398\) | 814.217 | + | 91.7402i | 2.04577 | + | 0.230503i | ||||
\(399\) | 117.282 | − | 243.538i | 0.293939 | − | 0.610370i | ||||
\(400\) | −32.8091 | + | 143.746i | −0.0820228 | + | 0.359366i | ||||
\(401\) | −28.0626 | − | 122.950i | −0.0699815 | − | 0.306609i | 0.927808 | − | 0.373057i | \(-0.121690\pi\) |
−0.997790 | + | 0.0664482i | \(0.978833\pi\) | |||||||
\(402\) | 309.443 | − | 149.020i | 0.769758 | − | 0.370696i | ||||
\(403\) | −47.2685 | − | 135.086i | −0.117292 | − | 0.335200i | ||||
\(404\) | 681.893 | − | 1085.23i | 1.68785 | − | 2.68621i | ||||
\(405\) | − | 202.928i | − | 0.501056i | ||||||
\(406\) | −695.338 | + | 415.090i | −1.71266 | + | 1.02239i | ||||
\(407\) | 215.829 | 0.530293 | ||||||||
\(408\) | −445.518 | − | 279.938i | −1.09196 | − | 0.686121i | ||||
\(409\) | −115.947 | + | 40.5715i | −0.283488 | + | 0.0991968i | −0.468278 | − | 0.883581i | \(-0.655125\pi\) |
0.184790 | + | 0.982778i | \(0.440840\pi\) | |||||||
\(410\) | −11.6340 | − | 24.1582i | −0.0283755 | − | 0.0589224i | ||||
\(411\) | −489.767 | + | 111.786i | −1.19165 | + | 0.271986i | ||||
\(412\) | −446.854 | − | 101.992i | −1.08460 | − | 0.247552i | ||||
\(413\) | −44.3151 | − | 21.3410i | −0.107300 | − | 0.0516732i | ||||
\(414\) | −23.6367 | + | 209.782i | −0.0570935 | + | 0.506719i | ||||
\(415\) | −32.2896 | + | 25.7501i | −0.0778061 | + | 0.0620483i | ||||
\(416\) | 360.854 | + | 126.268i | 0.867439 | + | 0.303530i | ||||
\(417\) | −52.9839 | − | 470.245i | −0.127060 | − | 1.12769i | ||||
\(418\) | 182.556 | + | 182.556i | 0.436736 | + | 0.436736i | ||||
\(419\) | −209.191 | − | 166.825i | −0.499263 | − | 0.398149i | 0.341223 | − | 0.939983i | \(-0.389159\pi\) |
−0.840486 | + | 0.541833i | \(0.817730\pi\) | |||||||
\(420\) | −514.609 | − | 818.996i | −1.22526 | − | 1.94999i | ||||
\(421\) | −301.780 | + | 189.621i | −0.716818 | + | 0.450407i | −0.840427 | − | 0.541924i | \(-0.817696\pi\) |
0.123609 | + | 0.992331i | \(0.460553\pi\) | |||||||
\(422\) | 23.3945 | − | 29.3358i | 0.0554372 | − | 0.0695160i | ||||
\(423\) | 143.861 | − | 143.861i | 0.340098 | − | 0.340098i | ||||
\(424\) | −1015.43 | + | 114.412i | −2.39489 | + | 0.269839i | ||||
\(425\) | −7.66911 | + | 21.9170i | −0.0180450 | + | 0.0515695i | ||||
\(426\) | 471.578 | + | 591.340i | 1.10699 | + | 1.38812i | ||||
\(427\) | −568.404 | − | 64.0437i | −1.33116 | − | 0.149985i | ||||
\(428\) | −22.8595 | + | 47.4682i | −0.0534100 | + | 0.110907i | ||||
\(429\) | −7.88532 | + | 34.5478i | −0.0183807 | + | 0.0805311i | ||||
\(430\) | −86.4533 | − | 378.777i | −0.201054 | − | 0.880876i | ||||
\(431\) | 124.980 | − | 60.1870i | 0.289976 | − | 0.139645i | −0.283241 | − | 0.959049i | \(-0.591410\pi\) |
0.573217 | + | 0.819404i | \(0.305695\pi\) | |||||||
\(432\) | 535.682 | + | 1530.89i | 1.24000 | + | 3.54373i | ||||
\(433\) | 107.372 | − | 170.882i | 0.247973 | − | 0.394647i | −0.699424 | − | 0.714707i | \(-0.746560\pi\) |
0.947397 | + | 0.320060i | \(0.103703\pi\) | |||||||
\(434\) | − | 1144.35i | − | 2.63675i | ||||||
\(435\) | 184.754 | + | 309.490i | 0.424722 | + | 0.711472i | ||||
\(436\) | −2255.42 | −5.17298 | ||||||||
\(437\) | 214.333 | + | 134.674i | 0.490464 | + | 0.308179i | ||||
\(438\) | −383.554 | + | 134.211i | −0.875694 | + | 0.306419i | ||||
\(439\) | 70.9416 | + | 147.312i | 0.161598 | + | 0.335562i | 0.966008 | − | 0.258513i | \(-0.0832325\pi\) |
−0.804410 | + | 0.594075i | \(0.797518\pi\) | |||||||
\(440\) | 563.228 | − | 128.553i | 1.28006 | − | 0.292166i | ||||
\(441\) | −13.7609 | − | 3.14085i | −0.0312040 | − | 0.00712210i | ||||
\(442\) | 104.943 | + | 50.5377i | 0.237427 | + | 0.114339i | ||||
\(443\) | −71.6573 | + | 635.976i | −0.161755 | + | 1.43561i | 0.606304 | + | 0.795233i | \(0.292651\pi\) |
−0.768059 | + | 0.640379i | \(0.778777\pi\) | |||||||
\(444\) | 991.359 | − | 790.582i | 2.23279 | − | 1.78059i | ||||
\(445\) | 553.493 | + | 193.676i | 1.24381 | + | 0.435226i | ||||
\(446\) | 138.159 | + | 1226.20i | 0.309774 | + | 2.74932i | ||||
\(447\) | 438.425 | + | 438.425i | 0.980817 | + | 0.980817i | ||||
\(448\) | 1129.83 | + | 901.009i | 2.52194 | + | 2.01118i | ||||
\(449\) | −149.510 | − | 237.943i | −0.332984 | − | 0.529941i | 0.637705 | − | 0.770281i | \(-0.279884\pi\) |
−0.970689 | + | 0.240340i | \(0.922741\pi\) | |||||||
\(450\) | 29.5583 | − | 18.5727i | 0.0656851 | − | 0.0412727i | ||||
\(451\) | −3.56259 | + | 4.46734i | −0.00789931 | + | 0.00990542i | ||||
\(452\) | −753.434 | + | 753.434i | −1.66689 | + | 1.66689i | ||||
\(453\) | −303.632 | + | 34.2111i | −0.670270 | + | 0.0755212i | ||||
\(454\) | −328.917 | + | 939.992i | −0.724487 | + | 2.07047i | ||||
\(455\) | 83.4846 | + | 104.686i | 0.183483 | + | 0.230080i | ||||
\(456\) | 942.533 | + | 106.198i | 2.06696 | + | 0.232890i | ||||
\(457\) | 209.594 | − | 435.225i | 0.458629 | − | 0.952353i | −0.535539 | − | 0.844511i | \(-0.679891\pi\) |
0.994168 | − | 0.107843i | \(-0.0343943\pi\) | |||||||
\(458\) | 249.217 | − | 1091.89i | 0.544141 | − | 2.38404i | ||||
\(459\) | 56.8377 | + | 249.022i | 0.123829 | + | 0.542532i | ||||
\(460\) | 816.092 | − | 393.009i | 1.77411 | − | 0.854368i | ||||
\(461\) | −107.774 | − | 308.000i | −0.233783 | − | 0.668114i | −0.999684 | − | 0.0251545i | \(-0.991992\pi\) |
0.765901 | − | 0.642959i | \(-0.222293\pi\) | |||||||
\(462\) | −150.749 | + | 239.915i | −0.326296 | + | 0.519296i | ||||
\(463\) | − | 332.607i | − | 0.718374i | −0.933266 | − | 0.359187i | \(-0.883054\pi\) | ||
0.933266 | − | 0.359187i | \(-0.116946\pi\) | |||||||
\(464\) | −1230.25 | − | 1027.88i | −2.65141 | − | 2.21525i | ||||
\(465\) | −509.342 | −1.09536 | ||||||||
\(466\) | 26.7467 | + | 16.8061i | 0.0573965 | + | 0.0360646i | ||||
\(467\) | −182.053 | + | 63.7030i | −0.389835 | + | 0.136409i | −0.518077 | − | 0.855334i | \(-0.673352\pi\) |
0.128243 | + | 0.991743i | \(0.459066\pi\) | |||||||
\(468\) | −55.2707 | − | 114.771i | −0.118100 | − | 0.245237i | ||||
\(469\) | −269.621 | + | 61.5392i | −0.574884 | + | 0.131214i | ||||
\(470\) | −1169.90 | − | 267.022i | −2.48915 | − | 0.568132i | ||||
\(471\) | 205.552 | + | 98.9888i | 0.436417 | + | 0.210167i | ||||
\(472\) | 19.3242 | − | 171.507i | 0.0409411 | − | 0.363363i | ||||
\(473\) | −64.7299 | + | 51.6204i | −0.136850 | + | 0.109134i | ||||
\(474\) | −1040.05 | − | 363.930i | −2.19420 | − | 0.767785i | ||||
\(475\) | −4.68659 | − | 41.5946i | −0.00986650 | − | 0.0875676i | ||||
\(476\) | 479.071 | + | 479.071i | 1.00645 | + | 1.00645i | ||||
\(477\) | 106.715 | + | 85.1021i | 0.223721 | + | 0.178411i | ||||
\(478\) | 326.005 | + | 518.834i | 0.682019 | + | 1.08543i | ||||
\(479\) | 149.906 | − | 94.1921i | 0.312956 | − | 0.196643i | −0.366390 | − | 0.930461i | \(-0.619406\pi\) |
0.679346 | + | 0.733818i | \(0.262264\pi\) | |||||||
\(480\) | 848.323 | − | 1063.76i | 1.76734 | − | 2.21617i | ||||
\(481\) | −124.120 | + | 124.120i | −0.258045 | + | 0.258045i | ||||
\(482\) | 414.520 | − | 46.7052i | 0.859999 | − | 0.0968987i | ||||
\(483\) | −91.7555 | + | 262.222i | −0.189970 | + | 0.542903i | ||||
\(484\) | 682.710 | + | 856.091i | 1.41056 | + | 1.76878i | ||||
\(485\) | 72.1746 | + | 8.13213i | 0.148814 | + | 0.0167673i | ||||
\(486\) | 287.384 | − | 596.759i | 0.591325 | − | 1.22790i | ||||
\(487\) | 10.4608 | − | 45.8320i | 0.0214802 | − | 0.0941108i | −0.963052 | − | 0.269317i | \(-0.913202\pi\) |
0.984532 | + | 0.175206i | \(0.0560592\pi\) | |||||||
\(488\) | −446.629 | − | 1956.81i | −0.915223 | − | 4.00986i | ||||
\(489\) | 195.519 | − | 94.1567i | 0.399833 | − | 0.192550i | ||||
\(490\) | 27.4963 | + | 78.5798i | 0.0561148 | + | 0.160367i | ||||
\(491\) | −308.602 | + | 491.137i | −0.628517 | + | 1.00028i | 0.368971 | + | 0.929441i | \(0.379710\pi\) |
−0.997488 | + | 0.0708376i | \(0.977433\pi\) | |||||||
\(492\) | 33.5694i | 0.0682304i | ||||||||
\(493\) | −174.404 | − | 182.550i | −0.353761 | − | 0.370284i | ||||
\(494\) | −209.969 | −0.425038 | ||||||||
\(495\) | −65.3393 | − | 41.0554i | −0.131999 | − | 0.0829402i | ||||
\(496\) | 2138.27 | − | 748.214i | 4.31104 | − | 1.50850i | ||||
\(497\) | −264.246 | − | 548.712i | −0.531681 | − | 1.10405i | ||||
\(498\) | 69.2954 | − | 15.8162i | 0.139147 | − | 0.0317595i | ||||
\(499\) | −927.838 | − | 211.773i | −1.85939 | − | 0.424395i | −0.862706 | − | 0.505706i | \(-0.831232\pi\) |
−0.996689 | + | 0.0813113i | \(0.974089\pi\) | |||||||
\(500\) | 1129.96 | + | 544.159i | 2.25992 | + | 1.08832i | ||||
\(501\) | 30.3294 | − | 269.181i | 0.0605378 | − | 0.537288i | ||||
\(502\) | −35.2914 | + | 28.1439i | −0.0703016 | + | 0.0560636i | ||||
\(503\) | −199.435 | − | 69.7852i | −0.396490 | − | 0.138738i | 0.124667 | − | 0.992199i | \(-0.460214\pi\) |
−0.521157 | + | 0.853461i | \(0.674499\pi\) | |||||||
\(504\) | −71.3161 | − | 632.948i | −0.141500 | − | 1.25585i | ||||
\(505\) | 446.498 | + | 446.498i | 0.884154 | + | 0.884154i | ||||
\(506\) | −207.452 | − | 165.438i | −0.409985 | − | 0.326952i | ||||
\(507\) | 197.128 | + | 313.727i | 0.388813 | + | 0.618792i | ||||
\(508\) | −1010.18 | + | 634.739i | −1.98855 | + | 1.24949i | ||||
\(509\) | 41.2535 | − | 51.7302i | 0.0810481 | − | 0.101631i | −0.739654 | − | 0.672987i | \(-0.765011\pi\) |
0.820702 | + | 0.571356i | \(0.193582\pi\) | |||||||
\(510\) | 293.120 | − | 293.120i | 0.574745 | − | 0.574745i | ||||
\(511\) | 325.147 | − | 36.6352i | 0.636295 | − | 0.0716932i | ||||
\(512\) | −130.737 | + | 373.625i | −0.255346 | + | 0.729737i | ||||
\(513\) | −287.083 | − | 359.991i | −0.559616 | − | 0.701737i | ||||
\(514\) | −268.597 | − | 30.2636i | −0.522562 | − | 0.0588786i | ||||
\(515\) | 97.9766 | − | 203.451i | 0.190246 | − | 0.395050i | ||||
\(516\) | −108.236 | + | 474.211i | −0.209759 | + | 0.919014i | ||||
\(517\) | 56.9021 | + | 249.305i | 0.110062 | + | 0.482214i | ||||
\(518\) | −1264.54 | + | 608.970i | −2.44119 | + | 1.17562i | ||||
\(519\) | −66.9892 | − | 191.444i | −0.129074 | − | 0.368871i | ||||
\(520\) | −249.974 | + | 397.831i | −0.480719 | + | 0.765060i | ||||
\(521\) | 926.186i | 1.77771i | 0.458190 | + | 0.888854i | \(0.348498\pi\) | ||||
−0.458190 | + | 0.888854i | \(0.651502\pi\) | |||||||
\(522\) | 33.8816 | + | 378.048i | 0.0649072 | + | 0.724230i | ||||
\(523\) | 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 | ||||
\(525\) | 43.3610 | − | 15.1727i | 0.0825925 | − | 0.0289004i | ||||
\(526\) | 99.8221 | + | 207.283i | 0.189776 | + | 0.394074i | ||||
\(527\) | 347.822 | − | 79.3882i | 0.660004 | − | 0.150642i | ||||
\(528\) | −546.858 | − | 124.817i | −1.03572 | − | 0.236396i | ||||
\(529\) | 242.216 | + | 116.645i | 0.457875 | + | 0.220501i | ||||
\(530\) | 90.1381 | − | 799.997i | 0.170072 | − | 1.50943i | ||||
\(531\) | −18.0242 | + | 14.3738i | −0.0339438 | + | 0.0270693i | ||||
\(532\) | −1152.78 | − | 403.375i | −2.16688 | − | 0.758224i | ||||
\(533\) | −0.520309 | − | 4.61787i | −0.000976189 | − | 0.00866392i | ||||
\(534\) | −713.612 | − | 713.612i | −1.33635 | − | 1.33635i | ||||
\(535\) | −20.2937 | − | 16.1837i | −0.0379322 | − | 0.0302499i | ||||
\(536\) | −516.296 | − | 821.680i | −0.963238 | − | 1.53298i | ||||
\(537\) | 168.443 | − | 105.839i | 0.313673 | − | 0.197094i | ||||
\(538\) | 390.309 | − | 489.433i | 0.725482 | − | 0.909726i | ||||
\(539\) | 12.5447 | − | 12.5447i | 0.0232740 | − | 0.0232740i | ||||
\(540\) | −1637.28 | + | 184.477i | −3.03199 | + | 0.341624i | ||||
\(541\) | 51.9016 | − | 148.326i | 0.0959364 | − | 0.274170i | −0.885907 | − | 0.463862i | \(-0.846463\pi\) |
0.981844 | + | 0.189692i | \(0.0607489\pi\) | |||||||
\(542\) | 501.257 | + | 628.557i | 0.924829 | + | 1.15970i | ||||
\(543\) | 89.4338 | + | 10.0768i | 0.164703 | + | 0.0185576i | ||||
\(544\) | −413.505 | + | 858.652i | −0.760120 | + | 1.57841i | ||||
\(545\) | 247.260 | − | 1083.32i | 0.453689 | − | 1.98774i | ||||
\(546\) | −51.2780 | − | 224.664i | −0.0939157 | − | 0.411472i | ||||
\(547\) | 249.900 | − | 120.346i | 0.456856 | − | 0.220010i | −0.191279 | − | 0.981536i | \(-0.561263\pi\) |
0.648135 | + | 0.761525i | \(0.275549\pi\) | |||||||
\(548\) | 749.670 | + | 2142.43i | 1.36801 | + | 3.90955i | ||||
\(549\) | −142.638 | + | 227.007i | −0.259814 | + | 0.413491i | ||||
\(550\) | 43.8768i | 0.0797761i | ||||||||
\(551\) | 426.037 | + | 160.077i | 0.773207 | + | 0.290521i | ||||
\(552\) | −974.835 | −1.76600 | ||||||||
\(553\) | 751.259 | + | 472.047i | 1.35851 | + | 0.853611i | ||||
\(554\) | −208.768 | + | 73.0512i | −0.376838 | + | 0.131861i | ||||
\(555\) | 271.048 | + | 562.838i | 0.488375 | + | 1.01412i | ||||
\(556\) | −2084.53 | + | 475.780i | −3.74915 | + | 0.855719i | ||||
\(557\) | 114.217 | + | 26.0694i | 0.205058 | + | 0.0468032i | 0.323816 | − | 0.946120i | \(-0.395034\pi\) |
−0.118758 | + | 0.992923i | \(0.537891\pi\) | |||||||
\(558\) | −483.246 | − | 232.719i | −0.866032 | − | 0.417059i | ||||
\(559\) | 7.53906 | − | 66.9110i | 0.0134867 | − | 0.119698i | ||||
\(560\) | −1657.08 | + | 1321.48i | −2.95908 | + | 2.35979i | ||||
\(561\) | −83.3797 | − | 29.1758i | −0.148627 | − | 0.0520068i | ||||
\(562\) | −121.451 | − | 1077.91i | −0.216105 | − | 1.91798i | ||||
\(563\) | 544.911 | + | 544.911i | 0.967871 | + | 0.967871i | 0.999500 | − | 0.0316292i | \(-0.0100696\pi\) |
−0.0316292 | + | 0.999500i | \(0.510070\pi\) | |||||||
\(564\) | 1174.57 | + | 936.687i | 2.08257 | + | 1.66079i | ||||
\(565\) | −279.289 | − | 444.486i | −0.494317 | − | 0.786701i | ||||
\(566\) | −719.832 | + | 452.301i | −1.27179 | + | 0.799118i | ||||
\(567\) | 175.333 | − | 219.861i | 0.309230 | − | 0.387762i | ||||
\(568\) | 1511.12 | − | 1511.12i | 2.66042 | − | 2.66042i | ||||
\(569\) | 877.995 | − | 98.9262i | 1.54305 | − | 0.173860i | 0.700960 | − | 0.713200i | \(-0.252755\pi\) |
0.842088 | + | 0.539340i | \(0.181326\pi\) | |||||||
\(570\) | −246.805 | + | 705.329i | −0.432992 | + | 1.23742i | ||||
\(571\) | −118.851 | − | 149.035i | −0.208146 | − | 0.261007i | 0.666790 | − | 0.745246i | \(-0.267668\pi\) |
−0.874936 | + | 0.484239i | \(0.839096\pi\) | |||||||
\(572\) | 159.104 | + | 17.9267i | 0.278153 | + | 0.0313404i | ||||
\(573\) | 274.974 | − | 570.989i | 0.479885 | − | 0.996491i | ||||
\(574\) | 8.26835 | − | 36.2260i | 0.0144048 | − | 0.0631115i | ||||
\(575\) | 9.57287 | + | 41.9415i | 0.0166485 | + | 0.0729417i | ||||
\(576\) | 610.253 | − | 293.882i | 1.05947 | − | 0.510212i | ||||
\(577\) | 105.425 | + | 301.288i | 0.182713 | + | 0.522163i | 0.998413 | − | 0.0563115i | \(-0.0179340\pi\) |
−0.815701 | + | 0.578474i | \(0.803648\pi\) | |||||||
\(578\) | 434.561 | − | 691.600i | 0.751836 | − | 1.19654i | ||||
\(579\) | 421.386i | 0.727783i | ||||||||
\(580\) | 1296.10 | − | 986.085i | 2.23466 | − | 1.70015i | ||||
\(581\) | −57.2324 | −0.0985068 | ||||||||
\(582\) | −105.840 | − | 66.5035i | −0.181855 | − | 0.114267i | ||||
\(583\) | −161.930 | + | 56.6618i | −0.277753 | + | 0.0971901i | ||||
\(584\) | 498.163 | + | 1034.45i | 0.853019 | + | 1.77131i | ||||
\(585\) | 61.1857 | − | 13.9652i | 0.104591 | − | 0.0238722i | ||||
\(586\) | −91.8156 | − | 20.9563i | −0.156682 | − | 0.0357616i | ||||
\(587\) | −927.516 | − | 446.668i | −1.58009 | − | 0.760934i | −0.581481 | − | 0.813560i | \(-0.697526\pi\) |
−0.998614 | + | 0.0526268i | \(0.983241\pi\) | |||||||
\(588\) | 11.6697 | − | 103.572i | 0.0198465 | − | 0.176143i | ||||
\(589\) | −502.818 | + | 400.984i | −0.853681 | + | 0.680788i | ||||
\(590\) | 128.345 | + | 44.9097i | 0.217533 | + | 0.0761181i | ||||
\(591\) | −38.9178 | − | 345.405i | −0.0658508 | − | 0.584442i | ||||
\(592\) | −1964.69 | − | 1964.69i | −3.31873 | − | 3.31873i | ||||
\(593\) | −720.843 | − | 574.853i | −1.21559 | − | 0.969398i | −0.215612 | − | 0.976479i | \(-0.569174\pi\) |
−0.999975 | + | 0.00708137i | \(0.997746\pi\) | |||||||
\(594\) | 256.788 | + | 408.676i | 0.432303 | + | 0.688007i | ||||
\(595\) | −282.627 | + | 177.586i | −0.475003 | + | 0.298464i | ||||
\(596\) | 1746.67 | − | 2190.26i | 2.93066 | − | 3.67493i | ||||
\(597\) | 357.362 | − | 357.362i | 0.598597 | − | 0.598597i | ||||
\(598\) | 214.442 | − | 24.1619i | 0.358599 | − | 0.0404044i | ||||
\(599\) | 53.8833 | − | 153.989i | 0.0899553 | − | 0.257078i | −0.890112 | − | 0.455741i | \(-0.849374\pi\) |
0.980068 | + | 0.198663i | \(0.0636600\pi\) | |||||||
\(600\) | 100.506 | + | 126.030i | 0.167509 | + | 0.210050i | ||||
\(601\) | −863.514 | − | 97.2947i | −1.43680 | − | 0.161888i | −0.641041 | − | 0.767507i | \(-0.721497\pi\) |
−0.795755 | + | 0.605619i | \(0.792926\pi\) | |||||||
\(602\) | 233.602 | − | 485.080i | 0.388044 | − | 0.805781i | ||||
\(603\) | −28.8438 | + | 126.373i | −0.0478338 | + | 0.209573i | ||||
\(604\) | 307.206 | + | 1345.96i | 0.508619 | + | 2.22841i | ||||
\(605\) | −486.040 | + | 234.065i | −0.803373 | + | 0.386884i | ||||
\(606\) | −358.921 | − | 1025.74i | −0.592278 | − | 1.69263i | ||||
\(607\) | −310.491 | + | 494.143i | −0.511517 | + | 0.814075i | −0.998229 | − | 0.0594878i | \(-0.981053\pi\) |
0.486712 | + | 0.873562i | \(0.338196\pi\) | |||||||
\(608\) | − | 1717.99i | − | 2.82564i | ||||||
\(609\) | −67.2347 | + | 494.946i | −0.110402 | + | 0.812720i | ||||
\(610\) | 1581.30 | 2.59229 | ||||||||
\(611\) | −176.094 | − | 110.647i | −0.288206 | − | 0.181092i | ||||
\(612\) | 299.732 | − | 104.881i | 0.489759 | − | 0.171374i | ||||
\(613\) | −246.942 | − | 512.779i | −0.402841 | − | 0.836508i | −0.999423 | − | 0.0339560i | \(-0.989189\pi\) |
0.596582 | − | 0.802552i | \(-0.296525\pi\) | |||||||
\(614\) | 508.521 | − | 116.067i | 0.828211 | − | 0.189034i | ||||
\(615\) | −16.1240 | − | 3.68019i | −0.0262178 | − | 0.00598405i | ||||
\(616\) | 721.299 | + | 347.359i | 1.17094 | + | 0.563895i | ||||
\(617\) | 30.7744 | − | 273.130i | 0.0498775 | − | 0.442675i | −0.943810 | − | 0.330489i | \(-0.892786\pi\) |
0.993687 | − | 0.112186i | \(-0.0357851\pi\) | |||||||
\(618\) | −303.840 | + | 242.304i | −0.491651 | + | 0.392078i | ||||
\(619\) | −477.311 | − | 167.018i | −0.771100 | − | 0.269820i | −0.0840811 | − | 0.996459i | \(-0.526795\pi\) |
−0.687019 | + | 0.726639i | \(0.741081\pi\) | |||||||
\(620\) | 257.668 | + | 2286.87i | 0.415594 | + | 3.68850i | ||||
\(621\) | 334.625 | + | 334.625i | 0.538848 | + | 0.538848i | ||||
\(622\) | 921.049 | + | 734.512i | 1.48079 | + | 1.18089i | ||||
\(623\) | 432.340 | + | 688.065i | 0.693965 | + | 1.10444i | ||||
\(624\) | 386.268 | − | 242.708i | 0.619020 | − | 0.388956i | ||||
\(625\) | −426.820 | + | 535.215i | −0.682911 | + | 0.856344i | ||||
\(626\) | −946.353 | + | 946.353i | −1.51175 | + | 1.51175i | ||||
\(627\) | 158.240 | − | 17.8293i | 0.252376 | − | 0.0284359i | ||||
\(628\) | 340.459 | − | 972.977i | 0.542133 | − | 1.54933i | ||||
\(629\) | −272.821 | − | 342.107i | −0.433738 | − | 0.543891i | ||||
\(630\) | 498.661 | + | 56.1856i | 0.791525 | + | 0.0891834i | ||||
\(631\) | −251.062 | + | 521.335i | −0.397879 | + | 0.826205i | 0.601742 | + | 0.798690i | \(0.294473\pi\) |
−0.999621 | + | 0.0275142i | \(0.991241\pi\) | |||||||
\(632\) | −692.784 | + | 3035.29i | −1.09618 | + | 4.80267i | ||||
\(633\) | −5.14991 | − | 22.5632i | −0.00813572 | − | 0.0356449i | ||||
\(634\) | 1030.12 | − | 496.082i | 1.62480 | − | 0.782463i | ||||
\(635\) | −194.131 | − | 554.794i | −0.305718 | − | 0.873691i | ||||
\(636\) | −536.234 | + | 853.412i | −0.843136 | + | 1.34184i | ||||
\(637\) | 14.4284i | 0.0226506i | ||||||||
\(638\) | −424.992 | − | 216.745i | −0.666131 | − | 0.339726i | ||||
\(639\) | −285.453 | −0.446718 | ||||||||
\(640\) | −1432.46 | − | 900.076i | −2.23822 | − | 1.40637i | ||||
\(641\) | −354.797 | + | 124.149i | −0.553505 | + | 0.193680i | −0.592516 | − | 0.805559i | \(-0.701865\pi\) |
0.0390104 | + | 0.999239i | \(0.487579\pi\) | |||||||
\(642\) | 19.3823 | + | 40.2478i | 0.0301905 | + | 0.0626912i | ||||
\(643\) | −13.7935 | + | 3.14829i | −0.0214519 | + | 0.00489625i | −0.233233 | − | 0.972421i | \(-0.574931\pi\) |
0.211782 | + | 0.977317i | \(0.432073\pi\) | |||||||
\(644\) | 1223.76 | + | 279.315i | 1.90024 | + | 0.433718i | ||||
\(645\) | −215.906 | − | 103.975i | −0.334738 | − | 0.161201i | ||||
\(646\) | 58.6043 | − | 520.127i | 0.0907187 | − | 0.805151i | ||||
\(647\) | 778.933 | − | 621.178i | 1.20391 | − | 0.960090i | 0.204092 | − | 0.978952i | \(-0.434576\pi\) |
0.999822 | + | 0.0188619i | \(0.00600429\pi\) | |||||||
\(648\) | 931.393 | + | 325.908i | 1.43733 | + | 0.502945i | ||||
\(649\) | −3.24430 | − | 28.7939i | −0.00499892 | − | 0.0443666i | ||||
\(650\) | −25.2328 | − | 25.2328i | −0.0388197 | − | 0.0388197i | ||||
\(651\) | −551.843 | − | 440.080i | −0.847686 | − | 0.676007i | ||||
\(652\) | −521.660 | − | 830.217i | −0.800092 | − | 1.27334i | ||||
\(653\) | −240.927 | + | 151.384i | −0.368954 | + | 0.231829i | −0.703728 | − | 0.710469i | \(-0.748483\pi\) |
0.334774 | + | 0.942298i | \(0.391340\pi\) | |||||||
\(654\) | −1192.33 | + | 1495.13i | −1.82313 | + | 2.28614i | ||||
\(655\) | −714.742 | + | 714.742i | −1.09121 | + | 1.09121i | ||||
\(656\) | 73.0963 | − | 8.23598i | 0.111427 | − | 0.0125548i | ||||
\(657\) | 50.6524 | − | 144.756i | 0.0770965 | − | 0.220329i | ||||
\(658\) | −1036.81 | − | 1300.12i | −1.57570 | − | 1.97586i | ||||
\(659\) | 1062.63 | + | 119.729i | 1.61249 | + | 0.181684i | 0.871694 | − | 0.490050i | \(-0.163022\pi\) |
0.740792 | + | 0.671734i | \(0.234450\pi\) | |||||||
\(660\) | 247.236 | − | 513.391i | 0.374600 | − | 0.777865i | ||||
\(661\) | 100.223 | − | 439.106i | 0.151624 | − | 0.664306i | −0.840790 | − | 0.541361i | \(-0.817909\pi\) |
0.992414 | − | 0.122945i | \(-0.0392337\pi\) | |||||||
\(662\) | 32.4579 | + | 142.207i | 0.0490301 | + | 0.214815i | ||||
\(663\) | 64.7287 | − | 31.1717i | 0.0976300 | − | 0.0470161i | ||||
\(664\) | −66.3289 | − | 189.557i | −0.0998930 | − | 0.285478i | ||||
\(665\) | 320.126 | − | 509.478i | 0.481393 | − | 0.766133i | ||||
\(666\) | 657.843i | 0.987753i | ||||||||
\(667\) | −453.534 | − | 114.462i | −0.679961 | − | 0.171607i | ||||
\(668\) | −1223.93 | −1.83223 | ||||||||
\(669\) | 644.446 | + | 404.932i | 0.963297 | + | 0.605280i | ||||
\(670\) | 721.633 | − | 252.510i | 1.07706 | − | 0.376881i | ||||
\(671\) | −146.207 | − | 303.602i | −0.217894 | − | 0.452462i | ||||
\(672\) | 1838.22 | − | 419.562i | 2.73545 | − | 0.624348i | ||||
\(673\) | −665.540 | − | 151.905i | −0.988915 | − | 0.225713i | −0.302679 | − | 0.953092i | \(-0.597881\pi\) |
−0.686236 | + | 0.727379i | \(0.740738\pi\) | |||||||
\(674\) | −238.541 | − | 114.875i | −0.353919 | − | 0.170438i | ||||
\(675\) | 8.76160 | − | 77.7614i | 0.0129802 | − | 0.115202i | ||||
\(676\) | 1308.87 | − | 1043.79i | 1.93619 | − | 1.54406i | ||||
\(677\) | 140.624 | + | 49.2065i | 0.207716 | + | 0.0726831i | 0.432132 | − | 0.901810i | \(-0.357762\pi\) |
−0.224415 | + | 0.974494i | \(0.572047\pi\) | |||||||
\(678\) | 101.153 | + | 897.759i | 0.149193 | + | 1.32413i | ||||
\(679\) | 71.1709 | + | 71.1709i | 0.104817 | + | 0.104817i | ||||
\(680\) | −915.722 | − | 730.264i | −1.34665 | − | 1.07392i | ||||
\(681\) | 326.804 | + | 520.106i | 0.479889 | + | 0.763739i | ||||
\(682\) | 570.819 | − | 358.670i | 0.836978 | − | 0.525908i | ||||
\(683\) | −562.476 | + | 705.323i | −0.823538 | + | 1.03268i | 0.175301 | + | 0.984515i | \(0.443910\pi\) |
−0.998839 | + | 0.0481690i | \(0.984661\pi\) | |||||||
\(684\) | −404.775 | + | 404.775i | −0.591776 | + | 0.591776i | ||||
\(685\) | −1111.23 | + | 125.206i | −1.62224 | + | 0.182782i | ||||
\(686\) | 413.818 | − | 1182.62i | 0.603233 | − | 1.72394i | ||||
\(687\) | −430.705 | − | 540.087i | −0.626936 | − | 0.786153i | ||||
\(688\) | 1059.14 | + | 119.336i | 1.53944 | + | 0.173453i | ||||
\(689\) | 60.5379 | − | 125.708i | 0.0878635 | − | 0.182450i | ||||
\(690\) | 170.899 | − | 748.757i | 0.247680 | − | 1.08515i | ||||
\(691\) | 174.983 | + | 766.650i | 0.253231 | + | 1.10948i | 0.928332 | + | 0.371753i | \(0.121243\pi\) |
−0.675101 | + | 0.737726i | \(0.735900\pi\) | |||||||
\(692\) | −825.667 | + | 397.620i | −1.19316 | + | 0.574596i | ||||
\(693\) | −35.3189 | − | 100.936i | −0.0509652 | − | 0.145650i | ||||
\(694\) | −519.841 | + | 827.322i | −0.749050 | + | 1.19211i | ||||
\(695\) | − | 1053.39i | − | 1.51567i | ||||||
\(696\) | −1717.21 | + | 350.928i | −2.46726 | + | 0.504207i | ||||
\(697\) | 11.5844 | 0.0166204 | ||||||||
\(698\) | −1307.01 | − | 821.246i | −1.87250 | − | 1.17657i | ||||
\(699\) | 18.3904 | − | 6.43509i | 0.0263096 | − | 0.00920614i | ||||
\(700\) | −90.0589 | − | 187.009i | −0.128656 | − | 0.267156i | ||||
\(701\) | 1133.94 | − | 258.815i | 1.61761 | − | 0.369208i | 0.684557 | − | 0.728959i | \(-0.259995\pi\) |
0.933048 | + | 0.359751i | \(0.117138\pi\) | |||||||
\(702\) | −382.697 | − | 87.3480i | −0.545152 | − | 0.124427i | ||||
\(703\) | 710.676 | + | 342.243i | 1.01092 | + | 0.486833i | ||||
\(704\) | −95.3188 | + | 845.978i | −0.135396 | + | 1.20167i | ||||
\(705\) | −578.674 | + | 461.477i | −0.820814 | + | 0.654577i | ||||
\(706\) | 2337.43 | + | 817.901i | 3.31080 | + | 1.15850i | ||||
\(707\) | 97.9734 | + | 869.538i | 0.138576 | + | 1.22990i | ||||
\(708\) | −120.374 | − | 120.374i | −0.170020 | − | 0.170020i | ||||
\(709\) | 70.9559 | + | 56.5854i | 0.100079 | + | 0.0798102i | 0.672251 | − | 0.740323i | \(-0.265328\pi\) |
−0.572172 | + | 0.820134i | \(0.693899\pi\) | |||||||
\(710\) | 895.755 | + | 1425.59i | 1.26163 | + | 2.00787i | ||||
\(711\) | 352.119 | − | 221.251i | 0.495245 | − | 0.311183i | ||||
\(712\) | −1777.86 | + | 2229.36i | −2.49699 | + | 3.13112i | ||||
\(713\) | 467.388 | − | 467.388i | 0.655523 | − | 0.655523i | ||||
\(714\) | 570.840 | − | 64.3182i | 0.799496 | − | 0.0900816i | ||||
\(715\) | −26.0529 | + | 74.4550i | −0.0364377 | + | 0.104133i | ||||
\(716\) | −560.416 | − | 702.740i | −0.782704 | − | 0.981480i | ||||
\(717\) | 375.571 | + | 42.3167i | 0.523809 | + | 0.0590191i | ||||
\(718\) | −25.6719 | + | 53.3083i | −0.0357548 | + | 0.0742456i | ||||
\(719\) | 8.99364 | − | 39.4037i | 0.0125085 | − | 0.0548035i | −0.968288 | − | 0.249835i | \(-0.919624\pi\) |
0.980797 | + | 0.195031i | \(0.0624808\pi\) | |||||||
\(720\) | 221.056 | + | 968.510i | 0.307022 | + | 1.34515i | ||||
\(721\) | 281.937 | − | 135.774i | 0.391036 | − | 0.188313i | ||||
\(722\) | −145.139 | − | 414.782i | −0.201023 | − | 0.574491i | ||||
\(723\) | 136.888 | − | 217.857i | 0.189334 | − | 0.301323i | ||||
\(724\) | − | 406.642i | − | 0.561661i | ||||||
\(725\) | 31.9614 | + | 70.4356i | 0.0440847 | + | 0.0971525i | ||||
\(726\) | 928.422 | 1.27882 | ||||||||
\(727\) | −358.094 | − | 225.005i | −0.492564 | − | 0.309498i | 0.262747 | − | 0.964865i | \(-0.415371\pi\) |
−0.755311 | + | 0.655366i | \(0.772514\pi\) | |||||||
\(728\) | −614.566 | + | 215.046i | −0.844184 | + | 0.295393i | ||||
\(729\) | −327.910 | − | 680.913i | −0.449808 | − | 0.934037i | ||||
\(730\) | −881.877 | + | 201.283i | −1.20805 | + | 0.275730i | ||||
\(731\) | 163.645 | + | 37.3509i | 0.223865 | + | 0.0510957i | ||||
\(732\) | −1783.66 | − | 858.965i | −2.43669 | − | 1.17345i | ||||
\(733\) | −14.7149 | + | 130.599i | −0.0200749 | + | 0.178170i | −0.999748 | − | 0.0224286i | \(-0.992860\pi\) |
0.979673 | + | 0.200599i | \(0.0642887\pi\) | |||||||
\(734\) | −1982.74 | + | 1581.18i | −2.70128 | + | 2.15420i | ||||
\(735\) | 48.4680 | + | 16.9597i | 0.0659429 | + | 0.0230744i | ||||
\(736\) | 197.695 | + | 1754.59i | 0.268607 | + | 2.38396i | ||||
\(737\) | −115.203 | − | 115.203i | −0.156314 | − | 0.156314i | ||||
\(738\) | −13.6164 | − | 10.8587i | −0.0184504 | − | 0.0147137i | ||||
\(739\) | −152.535 | − | 242.758i | −0.206407 | − | 0.328495i | 0.727438 | − | 0.686174i | \(-0.240711\pi\) |
−0.933845 | + | 0.357679i | \(0.883568\pi\) | |||||||
\(740\) | 2389.94 | − | 1501.70i | 3.22965 | − | 2.02932i | ||||
\(741\) | −80.7475 | + | 101.254i | −0.108971 | + | 0.136645i | ||||
\(742\) | 788.872 | − | 788.872i | 1.06317 | − | 1.06317i | ||||
\(743\) | 286.805 | − | 32.3151i | 0.386009 | − | 0.0434928i | 0.0831723 | − | 0.996535i | \(-0.473495\pi\) |
0.302837 | + | 0.953042i | \(0.402066\pi\) | |||||||
\(744\) | 818.019 | − | 2337.76i | 1.09949 | − | 3.14216i | ||||
\(745\) | 860.533 | + | 1079.07i | 1.15508 | + | 1.44842i | ||||
\(746\) | −1684.08 | − | 189.750i | −2.25748 | − | 0.254357i | ||||
\(747\) | −11.6390 | + | 24.1686i | −0.0155810 | + | 0.0323543i | ||||
\(748\) | −88.8146 | + | 389.122i | −0.118736 | + | 0.520217i | ||||
\(749\) | −8.00411 | − | 35.0683i | −0.0106864 | − | 0.0468202i | ||||
\(750\) | 958.079 | − | 461.386i | 1.27744 | − | 0.615182i | ||||
\(751\) | 14.9942 | + | 42.8510i | 0.0199657 | + | 0.0570586i | 0.953435 | − | 0.301599i | \(-0.0975203\pi\) |
−0.933469 | + | 0.358657i | \(0.883235\pi\) | |||||||
\(752\) | 1751.44 | − | 2787.40i | 2.32904 | − | 3.70664i | ||||
\(753\) | 27.8420i | 0.0369747i | ||||||||
\(754\) | 369.051 | − | 119.759i | 0.489458 | − | 0.158831i | ||||
\(755\) | −680.165 | −0.900881 | ||||||||
\(756\) | −1933.29 | − | 1214.77i | −2.55726 | − | 1.60683i | ||||
\(757\) | −467.425 | + | 163.559i | −0.617470 | + | 0.216062i | −0.620846 | − | 0.783932i | \(-0.713211\pi\) |
0.00337645 | + | 0.999994i | \(0.498925\pi\) | |||||||
\(758\) | 154.272 | + | 320.350i | 0.203526 | + | 0.422625i | ||||
\(759\) | −159.559 | + | 36.4184i | −0.210223 | + | 0.0479821i | ||||
\(760\) | 2058.43 | + | 469.823i | 2.70846 | + | 0.618188i | ||||
\(761\) | 1035.64 | + | 498.740i | 1.36090 | + | 0.655375i | 0.964837 | − | 0.262849i | \(-0.0846621\pi\) |
0.396062 | + | 0.918224i | \(0.370376\pi\) | |||||||
\(762\) | −113.260 | + | 1005.21i | −0.148635 | + | 1.31917i | ||||
\(763\) | 1203.90 | − | 960.077i | 1.57785 | − | 1.25829i | ||||
\(764\) | −2702.76 | − | 945.738i | −3.53765 | − | 1.23788i | ||||
\(765\) | 17.5167 | + | 155.465i | 0.0228976 | + | 0.203222i | ||||
\(766\) | −146.362 | − | 146.362i | −0.191074 | − | 0.191074i | ||||
\(767\) | 18.4246 | + | 14.6931i | 0.0240217 | + | 0.0191566i | ||||
\(768\) | 552.081 | + | 878.632i | 0.718856 | + | 1.14405i | ||||
\(769\) | 1078.65 | − | 677.762i | 1.40267 | − | 0.881355i | 0.403239 | − | 0.915095i | \(-0.367884\pi\) |
0.999431 | + | 0.0337394i | \(0.0107416\pi\) | |||||||
\(770\) | −393.253 | + | 493.124i | −0.510718 | + | 0.640420i | ||||
\(771\) | −117.888 | + | 117.888i | −0.152903 | + | 0.152903i | ||||
\(772\) | 1891.96 | − | 213.173i | 2.45073 | − | 0.276131i | ||||
\(773\) | −101.777 | + | 290.863i | −0.131666 | + | 0.376279i | −0.990776 | − | 0.135512i | \(-0.956732\pi\) |
0.859110 | + | 0.511791i | \(0.171018\pi\) | |||||||
\(774\) | −157.338 | − | 197.296i | −0.203279 | − | 0.254904i | ||||
\(775\) | −108.613 | − | 12.2378i | −0.140146 | − | 0.0157907i | ||||
\(776\) | −153.239 | + | 318.205i | −0.197473 | + | 0.410058i | ||||
\(777\) | −192.636 | + | 843.994i | −0.247923 | + | 1.08622i | ||||
\(778\) | 266.190 | + | 1166.26i | 0.342147 | + | 1.49904i | ||||
\(779\) | −18.8147 | + | 9.06068i | −0.0241524 | + | 0.0116312i | ||||
\(780\) | 153.061 | + | 437.423i | 0.196232 | + | 0.560798i | ||||
\(781\) | 190.885 | − | 303.791i | 0.244410 | − | 0.388977i | ||||
\(782\) | 537.952i | 0.687919i | ||||||||
\(783\) | 709.916 | + | 468.995i | 0.906662 | + | 0.598972i | ||||
\(784\) | −228.388 | −0.291311 | ||||||||
\(785\) | 430.013 | + | 270.195i | 0.547788 | + | 0.344198i | ||||
\(786\) | 1641.97 | − | 574.551i | 2.08902 | − | 0.730981i | ||||
\(787\) | 418.692 | + | 869.423i | 0.532010 | + | 1.10473i | 0.977790 | + | 0.209588i | \(0.0672121\pi\) |
−0.445780 | + | 0.895143i | \(0.647074\pi\) | |||||||
\(788\) | −1531.13 | + | 349.471i | −1.94306 | + | 0.443491i | ||||
\(789\) | 138.347 | + | 31.5769i | 0.175345 | + | 0.0400214i | ||||
\(790\) | −2209.91 | − | 1064.24i | −2.79735 | − | 1.34713i | ||||
\(791\) | 81.4498 | − | 722.887i | 0.102971 | − | 0.913889i | ||||
\(792\) | 293.372 | − | 233.956i | 0.370419 | − | 0.295400i | ||||
\(793\) | 258.677 | + | 90.5150i | 0.326201 | + | 0.114143i | ||||
\(794\) | −335.176 | − | 2974.77i | −0.422136 | − | 3.74656i | ||||
\(795\) | −351.122 | − | 351.122i | −0.441662 | − | 0.441662i | ||||
\(796\) | −1785.29 | − | 1423.72i | −2.24283 | − | 1.78859i | ||||
\(797\) | −86.2069 | − | 137.197i | −0.108164 | − | 0.172142i | 0.788256 | − | 0.615347i | \(-0.210984\pi\) |
−0.896420 | + | 0.443205i | \(0.853841\pi\) | |||||||
\(798\) | −876.817 | + | 550.940i | −1.09877 | + | 0.690401i | ||||
\(799\) | 323.240 | − | 405.331i | 0.404556 | − | 0.507297i | ||||
\(800\) | 206.457 | − | 206.457i | 0.258072 | − | 0.258072i | ||||
\(801\) | 378.485 | − | 42.6450i | 0.472515 | − | 0.0532397i | ||||
\(802\) | −159.569 | + | 456.021i | −0.198964 | + | 0.568605i | ||||
\(803\) | 120.184 | + | 150.706i | 0.149669 | + | 0.187679i | ||||
\(804\) | −951.146 | − | 107.168i | −1.18302 | − | 0.133294i | ||||
\(805\) | −268.319 | + | 557.171i | −0.333316 | + | 0.692138i | ||||
\(806\) | −122.003 | + | 534.532i | −0.151369 | + | 0.663191i | ||||
\(807\) | −85.9202 | − | 376.441i | −0.106469 | − | 0.466470i | ||||
\(808\) | −2766.42 | + | 1332.24i | −3.42378 | + | 1.64881i | ||||
\(809\) | −161.421 | − | 461.316i | −0.199532 | − | 0.570230i | 0.800026 | − | 0.599966i | \(-0.204819\pi\) |
−0.999558 | + | 0.0297360i | \(0.990533\pi\) | |||||||
\(810\) | −413.609 | + | 658.254i | −0.510628 | + | 0.812660i | ||||
\(811\) | − | 1265.57i | − | 1.56051i | −0.625462 | − | 0.780255i | \(-0.715089\pi\) | ||
0.625462 | − | 0.780255i | \(-0.284911\pi\) | |||||||
\(812\) | 2256.25 | + | 51.4879i | 2.77863 | + | 0.0634087i | ||||
\(813\) | 495.879 | 0.609938 | ||||||||
\(814\) | −700.104 | − | 439.905i | −0.860079 | − | 0.540423i | ||||
\(815\) | 455.957 | − | 159.546i | 0.559456 | − | 0.195762i | ||||
\(816\) | 493.417 | + | 1024.59i | 0.604678 | + | 1.25563i | ||||
\(817\) | −294.996 | + | 67.3309i | −0.361072 | + | 0.0824124i | ||||
\(818\) | 458.799 | + | 104.718i | 0.560879 | + | 0.128017i | ||||
\(819\) | 78.3575 | + | 37.7350i | 0.0956746 | + | 0.0460744i | ||||
\(820\) | −8.36664 | + | 74.2560i | −0.0102032 | + | 0.0905561i | ||||
\(821\) | −388.526 | + | 309.839i | −0.473235 | + | 0.377392i | −0.830868 | − | 0.556470i | \(-0.812155\pi\) |
0.357633 | + | 0.933862i | \(0.383584\pi\) | |||||||
\(822\) | 1816.54 | + | 635.636i | 2.20991 | + | 0.773280i | ||||
\(823\) | −6.16192 | − | 54.6885i | −0.00748714 | − | 0.0664502i | 0.989413 | − | 0.145127i | \(-0.0463591\pi\) |
−0.996900 | + | 0.0786768i | \(0.974930\pi\) | |||||||
\(824\) | 776.439 | + | 776.439i | 0.942280 | + | 0.942280i | ||||
\(825\) | 21.1589 | + | 16.8737i | 0.0256472 | + | 0.0204529i | ||||
\(826\) | 100.251 | + | 159.549i | 0.121370 | + | 0.193159i | ||||
\(827\) | −690.518 | + | 433.881i | −0.834967 | + | 0.524645i | −0.880350 | − | 0.474325i | \(-0.842692\pi\) |
0.0453827 | + | 0.998970i | \(0.485549\pi\) | |||||||
\(828\) | 366.819 | − | 459.977i | 0.443019 | − | 0.555528i | ||||
\(829\) | −479.385 | + | 479.385i | −0.578270 | + | 0.578270i | −0.934426 | − | 0.356157i | \(-0.884087\pi\) |
0.356157 | + | 0.934426i | \(0.384087\pi\) | |||||||
\(830\) | 157.224 | − | 17.7149i | 0.189427 | − | 0.0213433i | ||||
\(831\) | −45.0580 | + | 128.768i | −0.0542214 | + | 0.154956i | ||||
\(832\) | −431.690 | − | 541.323i | −0.518859 | − | 0.650628i | ||||
\(833\) | −35.7415 | − | 4.02710i | −0.0429070 | − | 0.00483446i | ||||
\(834\) | −786.588 | + | 1633.37i | −0.943151 | + | 1.95847i | ||||
\(835\) | 134.178 | − | 587.873i | 0.160693 | − | 0.704040i | ||||
\(836\) | −160.102 | − | 701.454i | −0.191510 | − | 0.839059i | ||||
\(837\) | −1083.26 | + | 521.673i | −1.29422 | + | 0.623265i | ||||
\(838\) | 338.549 | + | 967.519i | 0.403997 | + | 1.15456i | ||||
\(839\) | −346.951 | + | 552.169i | −0.413529 | + | 0.658127i | −0.986930 | − | 0.161147i | \(-0.948481\pi\) |
0.573402 | + | 0.819274i | \(0.305623\pi\) | |||||||
\(840\) | 2317.23i | 2.75860i | ||||||||
\(841\) | −840.125 | − | 38.3635i | −0.998959 | − | 0.0456165i | ||||
\(842\) | 1365.40 | 1.62161 | ||||||||
\(843\) | −566.510 | − | 355.962i | −0.672016 | − | 0.422256i | ||||
\(844\) | −98.7004 | + | 34.5368i | −0.116944 | + | 0.0409203i | ||||
\(845\) | 357.858 | + | 743.101i | 0.423501 | + | 0.879409i | ||||
\(846\) | −759.875 | + | 173.437i | −0.898198 | + | 0.205008i | ||||
\(847\) | −728.834 | − | 166.352i | −0.860488 | − | 0.196401i | ||||
\(848\) | 1989.84 | + | 958.256i | 2.34651 | + | 1.13002i | ||||
\(849\) | −58.7103 | + | 521.068i | −0.0691523 | + | 0.613743i | ||||
\(850\) | 69.5484 | − | 55.4630i | 0.0818217 | − | 0.0652506i | ||||
\(851\) | −765.200 | − | 267.755i | −0.899178 | − | 0.314636i | ||||
\(852\) | −236.005 | − | 2094.60i | −0.277001 | − | 2.45845i | ||||
\(853\) | −1023.16 | − | 1023.16i | −1.19949 | − | 1.19949i | −0.974321 | − | 0.225165i | \(-0.927708\pi\) |
−0.225165 | − | 0.974321i | \(-0.572292\pi\) | |||||||
\(854\) | 1713.25 | + | 1366.27i | 2.00614 | + | 1.59985i | ||||
\(855\) | −150.045 | − | 238.795i | −0.175491 | − | 0.279293i | ||||
\(856\) | 106.872 | − | 67.1521i | 0.124851 | − | 0.0784488i | ||||
\(857\) | −564.699 | + | 708.110i | −0.658925 | + | 0.826266i | −0.993226 | − | 0.116200i | \(-0.962928\pi\) |
0.334301 | + | 0.942467i | \(0.391500\pi\) | |||||||
\(858\) | 95.9939 | − | 95.9939i | 0.111881 | − | 0.111881i | ||||
\(859\) | 447.480 | − | 50.4189i | 0.520931 | − | 0.0586949i | 0.152416 | − | 0.988316i | \(-0.451295\pi\) |
0.368516 | + | 0.929622i | \(0.379866\pi\) | |||||||
\(860\) | −357.608 | + | 1021.99i | −0.415824 | + | 1.18836i | ||||
\(861\) | −14.2897 | − | 17.9187i | −0.0165966 | − | 0.0208115i | ||||
\(862\) | −528.081 | − | 59.5004i | −0.612623 | − | 0.0690260i | ||||
\(863\) | 73.4373 | − | 152.494i | 0.0850954 | − | 0.176702i | −0.854079 | − | 0.520144i | \(-0.825878\pi\) |
0.939174 | + | 0.343441i | \(0.111593\pi\) | |||||||
\(864\) | 714.691 | − | 3131.27i | 0.827189 | − | 3.62415i | ||||
\(865\) | −100.467 | − | 440.173i | −0.116146 | − | 0.508871i | ||||
\(866\) | −696.587 | + | 335.459i | −0.804373 | + | 0.387366i | ||||
\(867\) | −166.394 | − | 475.528i | −0.191920 | − | 0.548475i | ||||
\(868\) | −1696.73 | + | 2700.33i | −1.95476 | + | 3.11097i | ||||
\(869\) | 522.692i | 0.601487i | ||||||||
\(870\) | 31.5029 | − | 1380.49i | 0.0362102 | − | 1.58677i | ||||
\(871\) | 132.503 | 0.152127 | ||||||||
\(872\) | 4575.08 | + | 2874.71i | 5.24665 | + | 3.29669i | ||||
\(873\) | 44.5283 | − | 15.5811i | 0.0510060 | − | 0.0178478i | ||||
\(874\) | −420.756 | − | 873.708i | −0.481414 | − | 0.999666i | ||||
\(875\) | −834.784 | + | 190.534i | −0.954039 | + | 0.217753i | ||||
\(876\) | 1104.07 | + | 251.997i | 1.26035 | + | 0.287668i | ||||
\(877\) | 733.377 | + | 353.176i | 0.836233 | + | 0.402709i | 0.802449 | − | 0.596720i | \(-0.203530\pi\) |
0.0337841 | + | 0.999429i | \(0.489244\pi\) | |||||||
\(878\) | 70.1324 | − | 622.442i | 0.0798774 | − | 0.708932i | ||||
\(879\) | −45.4153 | + | 36.2175i | −0.0516670 | + | 0.0412030i | ||||
\(880\) | −1178.55 | − | 412.393i | −1.33926 | − | 0.468628i | ||||
\(881\) | 119.626 | + | 1061.71i | 0.135785 | + | 1.20512i | 0.858072 | + | 0.513530i | \(0.171662\pi\) |
−0.722287 | + | 0.691593i | \(0.756909\pi\) | |||||||
\(882\) | 38.2359 | + | 38.2359i | 0.0433513 | + | 0.0433513i | ||||
\(883\) | −247.657 | − | 197.500i | −0.280472 | − | 0.223669i | 0.473142 | − | 0.880986i | \(-0.343120\pi\) |
−0.753614 | + | 0.657317i | \(0.771691\pi\) | |||||||
\(884\) | −172.702 | − | 274.853i | −0.195364 | − | 0.310920i | ||||
\(885\) | 71.0143 | − | 44.6212i | 0.0802421 | − | 0.0504194i | ||||
\(886\) | 1528.69 | − | 1916.92i | 1.72539 | − | 2.16357i | ||||
\(887\) | 643.743 | − | 643.743i | 0.725753 | − | 0.725753i | −0.244018 | − | 0.969771i | \(-0.578466\pi\) |
0.969771 | + | 0.244018i | \(0.0784655\pi\) | |||||||
\(888\) | −3018.61 | + | 340.116i | −3.39934 | + | 0.383013i | ||||
\(889\) | 269.022 | − | 768.820i | 0.302612 | − | 0.864815i | ||||
\(890\) | −1400.66 | − | 1756.38i | −1.57378 | − | 1.97346i | ||||
\(891\) | 164.624 | + | 18.5487i | 0.184764 | + | 0.0208178i | ||||
\(892\) | 1492.07 | − | 3098.32i | 1.67272 | − | 3.47345i | ||||
\(893\) | −207.960 | + | 911.133i | −0.232878 | + | 1.02031i | ||||
\(894\) | −528.557 | − | 2315.76i | −0.591227 | − | 2.59033i | ||||
\(895\) | 398.976 | − | 192.137i | 0.445784 | − | 0.214678i | ||||
\(896\) | −774.312 | − | 2212.86i | −0.864187 | − | 2.46971i | ||||
\(897\) | 70.8162 | − | 112.703i | 0.0789478 | − | 0.125645i | ||||
\(898\) | 1076.57i | 1.19885i | ||||||||
\(899\) | 655.070 | − | 991.577i | 0.728665 | − | 1.10298i | ||||
\(900\) | −97.2866 | −0.108096 | ||||||||
\(901\) | 294.503 | + | 185.049i | 0.326863 | + | 0.205381i | ||||
\(902\) | 20.6616 | − | 7.22982i | 0.0229065 | − | 0.00801532i | ||||
\(903\) | −144.086 | − | 299.198i | −0.159564 | − | 0.331337i | ||||
\(904\) | 2488.64 | − | 568.015i | 2.75292 | − | 0.628336i | ||||
\(905\) | 195.317 | + | 44.5799i | 0.215820 | + | 0.0492596i | ||||
\(906\) | 1054.65 | + | 507.891i | 1.16407 | + | 0.560587i | ||||
\(907\) | −106.225 | + | 942.772i | −0.117117 | + | 1.03944i | 0.788410 | + | 0.615150i | \(0.210905\pi\) |
−0.905527 | + | 0.424290i | \(0.860524\pi\) | |||||||
\(908\) | 2169.88 | − | 1730.42i | 2.38973 | − | 1.90575i | ||||
\(909\) | 387.121 | + | 135.459i | 0.425875 | + | 0.149020i | ||||
\(910\) | −57.4338 | − | 509.739i | −0.0631141 | − | 0.560153i | ||||
\(911\) | −291.791 | − | 291.791i | −0.320297 | − | 0.320297i | 0.528584 | − | 0.848881i | \(-0.322723\pi\) |
−0.848881 | + | 0.528584i | \(0.822723\pi\) | |||||||
\(912\) | −1602.75 | − | 1278.15i | −1.75741 | − | 1.40148i | ||||
\(913\) | −17.9382 | − | 28.5485i | −0.0196475 | − | 0.0312689i | ||||
\(914\) | −1566.96 | + | 984.584i | −1.71439 | + | 1.07723i | ||||
\(915\) | 608.117 | − | 762.555i | 0.664609 | − | 0.833393i | ||||
\(916\) | −2207.03 | + | 2207.03i | −2.40942 | + | 2.40942i | ||||
\(917\) | −1391.93 | + | 156.833i | −1.51792 | + | 0.171029i | ||||
\(918\) | 323.189 | − | 923.622i | 0.352058 | − | 1.00612i | ||||
\(919\) | 710.166 | + | 890.520i | 0.772760 | + | 0.969010i | 0.999988 | − | 0.00483126i | \(-0.00153784\pi\) |
−0.227228 | + | 0.973841i | \(0.572966\pi\) | |||||||
\(920\) | −2156.35 | − | 242.962i | −2.34386 | − | 0.264089i | ||||
\(921\) | 139.590 | − | 289.862i | 0.151564 | − | 0.314725i | ||||
\(922\) | −278.172 | + | 1218.75i | −0.301706 | + | 1.32186i | ||||
\(923\) | 64.9305 | + | 284.479i | 0.0703472 | + | 0.308211i | ||||
\(924\) | 711.445 | − | 342.614i | 0.769962 | − | 0.370794i | ||||
\(925\) | 44.2760 | + | 126.533i | 0.0478659 | + | 0.136793i | ||||
\(926\) | −677.922 | + | 1078.91i | −0.732098 | + | 1.16513i | ||||
\(927\) | − | 146.670i | − | 0.158221i | ||||||
\(928\) | 979.878 | + | 3019.62i | 1.05590 | + | 3.25390i | ||||
\(929\) | −755.257 | −0.812979 | −0.406489 | − | 0.913655i | \(-0.633247\pi\) | ||||
−0.406489 | + | 0.913655i | \(0.633247\pi\) | |||||||
\(930\) | 1652.20 | + | 1038.14i | 1.77656 | + | 1.11628i | ||||
\(931\) | 61.1989 | − | 21.4144i | 0.0657346 | − | 0.0230015i | ||||
\(932\) | −38.1961 | − | 79.3149i | −0.0409829 | − | 0.0851019i | ||||
\(933\) | 708.413 | − | 161.691i | 0.759285 | − | 0.173302i | ||||
\(934\) | 720.381 | + | 164.422i | 0.771285 | + | 0.176041i | ||||
\(935\) | −177.166 | − | 85.3184i | −0.189482 | − | 0.0912497i | ||||
\(936\) | −34.1689 | + | 303.257i | −0.0365052 | + | 0.323993i | ||||
\(937\) | −557.789 | + | 444.822i | −0.595293 | + | 0.474730i | −0.874185 | − | 0.485592i | \(-0.838604\pi\) |
0.278893 | + | 0.960322i | \(0.410033\pi\) | |||||||
\(938\) | 1000.02 | + | 349.923i | 1.06612 | + | 0.373052i | ||||
\(939\) | 92.4257 | + | 820.301i | 0.0984300 | + | 0.873590i | ||||
\(940\) | 2364.71 | + | 2364.71i | 2.51565 | + | 2.51565i | ||||
\(941\) | 226.705 | + | 180.791i | 0.240920 | + | 0.192127i | 0.736505 | − | 0.676432i | \(-0.236475\pi\) |
−0.495585 | + | 0.868559i | \(0.665046\pi\) | |||||||
\(942\) | −465.008 | − | 740.057i | −0.493640 | − | 0.785623i | ||||
\(943\) | 18.1729 | − | 11.4188i | 0.0192714 | − | 0.0121090i | ||||
\(944\) | −232.578 | + | 291.644i | −0.246375 | + | 0.308945i | ||||
\(945\) | 795.419 | − | 795.419i | 0.841713 | − | 0.841713i | ||||
\(946\) | 315.183 | − | 35.5126i | 0.333175 | − | 0.0375398i | ||||
\(947\) | −587.677 | + | 1679.48i | −0.620567 | + | 1.77348i | 0.0131502 | + | 0.999914i | \(0.495814\pi\) |
−0.633717 | + | 0.773565i | \(0.718472\pi\) | |||||||
\(948\) | 1914.62 | + | 2400.86i | 2.01964 | + | 2.53255i | ||||
\(949\) | −155.784 | − | 17.5526i | −0.164156 | − | 0.0184959i | ||||
\(950\) | −69.5761 | + | 144.476i | −0.0732380 | + | 0.152080i | ||||
\(951\) | 156.926 | − | 687.538i | 0.165012 | − | 0.722964i | ||||
\(952\) | −361.173 | − | 1582.40i | −0.379383 | − | 1.66219i | ||||
\(953\) | 197.375 | − | 95.0507i | 0.207109 | − | 0.0997385i | −0.327454 | − | 0.944867i | \(-0.606191\pi\) |
0.534563 | + | 0.845129i | \(0.320476\pi\) | |||||||
\(954\) | −172.704 | − | 493.560i | −0.181032 | − | 0.517358i | ||||
\(955\) | 750.557 | − | 1194.50i | 0.785923 | − | 1.25079i | ||||
\(956\) | − | 1707.67i | − | 1.78626i | ||||||
\(957\) | −267.960 | + | 121.592i | −0.280000 | + | 0.127055i | ||||
\(958\) | −678.246 | −0.707981 | ||||||||
\(959\) | −1312.14 | − | 824.472i | −1.36824 | − | 0.859721i | ||||
\(960\) | −2325.84 | + | 813.846i | −2.42275 | + | 0.847757i | ||||
\(961\) | 311.685 | + | 647.221i | 0.324334 | + | 0.673486i | ||||
\(962\) | 655.599 | − | 149.636i | 0.681495 | − | 0.155547i | ||||
\(963\) | −16.4367 | − | 3.75157i | −0.0170682 | − | 0.00389571i | ||||
\(964\) | −1047.39 | − | 504.399i | −1.08651 | − | 0.523235i | ||||
\(965\) | −105.024 | + | 932.113i | −0.108833 | + | 0.965920i | ||||
\(966\) | 832.099 | − | 663.576i | 0.861386 | − | 0.686932i | ||||
\(967\) | −1599.47 | − | 559.679i | −1.65405 | − | 0.578779i | −0.667848 | − | 0.744298i | \(-0.732784\pi\) |
−0.986207 | + | 0.165519i | \(0.947070\pi\) | |||||||
\(968\) | −293.708 | − | 2606.73i | −0.303417 | − | 2.69290i | ||||
\(969\) | −228.286 | − | 228.286i | −0.235589 | − | 0.235589i | ||||
\(970\) | −217.544 | − | 173.486i | −0.224272 | − | 0.178851i | ||||
\(971\) | −307.298 | − | 489.062i | −0.316476 | − | 0.503668i | 0.650169 | − | 0.759790i | \(-0.274698\pi\) |
−0.966645 | + | 0.256122i | \(0.917555\pi\) | |||||||
\(972\) | −1562.96 | + | 982.071i | −1.60798 | + | 1.01036i | ||||
\(973\) | 910.151 | − | 1141.29i | 0.935407 | − | 1.17296i | ||||
\(974\) | −127.348 | + | 127.348i | −0.130747 | + | 0.130747i | ||||
\(975\) | −21.8718 | + | 2.46436i | −0.0224327 | + | 0.00252755i | ||||
\(976\) | −1432.76 | + | 4094.61i | −1.46800 | + | 4.19529i | ||||
\(977\) | −9.36795 | − | 11.7470i | −0.00958848 | − | 0.0120236i | 0.777014 | − | 0.629483i | \(-0.216733\pi\) |
−0.786603 | + | 0.617460i | \(0.788162\pi\) | |||||||
\(978\) | −826.131 | − | 93.0826i | −0.844715 | − | 0.0951765i | ||||
\(979\) | −207.711 | + | 431.316i | −0.212166 | + | 0.440568i | ||||
\(980\) | 51.6273 | − | 226.194i | 0.0526809 | − | 0.230810i | ||||
\(981\) | −160.601 | − | 703.638i | −0.163711 | − | 0.717267i | ||||
\(982\) | 2002.08 | − | 964.149i | 2.03877 | − | 0.981822i | ||||
\(983\) | 351.298 | + | 1003.95i | 0.357373 | + | 1.02131i | 0.972504 | + | 0.232888i | \(0.0748176\pi\) |
−0.615130 | + | 0.788425i | \(0.710897\pi\) | |||||||
\(984\) | 42.7868 | − | 68.0948i | 0.0434825 | − | 0.0692021i | ||||
\(985\) | − | 773.741i | − | 0.785524i | ||||||
\(986\) | 193.656 | + | 947.626i | 0.196405 | + | 0.961081i | ||||
\(987\) | −1025.69 | −1.03919 | ||||||||
\(988\) | 495.465 | + | 311.321i | 0.501483 | + | 0.315103i | ||||
\(989\) | 293.533 | − | 102.712i | 0.296798 | − | 0.103854i | ||||
\(990\) | 128.267 | + | 266.350i | 0.129563 | + | 0.269040i | ||||
\(991\) | 1086.17 | − | 247.912i | 1.09604 | − | 0.250164i | 0.363981 | − | 0.931406i | \(-0.381417\pi\) |
0.732058 | + | 0.681243i | \(0.238560\pi\) | |||||||
\(992\) | −4373.60 | − | 998.246i | −4.40887 | − | 1.00630i | ||||
\(993\) | 81.0596 | + | 39.0362i | 0.0816310 | + | 0.0393114i | ||||
\(994\) | −261.231 | + | 2318.49i | −0.262808 | + | 2.33249i | ||||
\(995\) | 879.558 | − | 701.424i | 0.883978 | − | 0.704949i | ||||
\(996\) | −186.968 | − | 65.4228i | −0.187718 | − | 0.0656855i | ||||
\(997\) | −61.5936 | − | 546.658i | −0.0617790 | − | 0.548303i | −0.986036 | − | 0.166533i | \(-0.946743\pi\) |
0.924257 | − | 0.381771i | \(-0.124686\pi\) | |||||||
\(998\) | 2578.07 | + | 2578.07i | 2.58324 | + | 2.58324i | ||||
\(999\) | 1152.93 | + | 919.429i | 1.15408 | + | 0.920349i |
(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 | 29.3.f.a.3.1 | ✓ | 48 | |
3.2 | odd | 2 | 261.3.s.a.235.4 | 48 | |||
29.10 | odd | 28 | inner | 29.3.f.a.10.1 | yes | 48 | |
87.68 | even | 28 | 261.3.s.a.10.4 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.3.f.a.3.1 | ✓ | 48 | 1.1 | even | 1 | trivial | |
29.3.f.a.10.1 | yes | 48 | 29.10 | odd | 28 | inner | |
261.3.s.a.10.4 | 48 | 87.68 | even | 28 | |||
261.3.s.a.235.4 | 48 | 3.2 | odd | 2 |