Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,3,Mod(2,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
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("27.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.f (of order \(18\), degree \(6\), 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: | \(0.735696713773\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 11.5 | ||
Character | \(\chi\) | \(=\) | 27.11 |
Dual form | 27.3.f.a.5.5 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.13670 | − | 2.54642i | 1.06835 | − | 1.27321i | 0.108076 | − | 0.994143i | \(-0.465531\pi\) |
0.960272 | − | 0.279065i | \(-0.0900245\pi\) | |||||||
\(3\) | −2.03568 | + | 2.20363i | −0.678560 | + | 0.734545i | ||||
\(4\) | −1.22417 | − | 6.94260i | −0.306042 | − | 1.73565i | ||||
\(5\) | −2.35247 | + | 6.46335i | −0.470493 | + | 1.29267i | 0.446863 | + | 0.894602i | \(0.352541\pi\) |
−0.917356 | + | 0.398067i | \(0.869681\pi\) | |||||||
\(6\) | 1.26173 | + | 9.89219i | 0.210289 | + | 1.64870i | ||||
\(7\) | 1.10811 | − | 6.28443i | 0.158302 | − | 0.897775i | −0.797403 | − | 0.603448i | \(-0.793793\pi\) |
0.955705 | − | 0.294328i | \(-0.0950957\pi\) | |||||||
\(8\) | −8.77937 | − | 5.06877i | −1.09742 | − | 0.633597i | ||||
\(9\) | −0.712002 | − | 8.97179i | −0.0791113 | − | 0.996866i | ||||
\(10\) | 11.4319 | + | 19.8006i | 1.14319 | + | 1.98006i | ||||
\(11\) | 0.425636 | + | 1.16942i | 0.0386941 | + | 0.106311i | 0.957535 | − | 0.288317i | \(-0.0930956\pi\) |
−0.918841 | + | 0.394628i | \(0.870873\pi\) | |||||||
\(12\) | 17.7910 | + | 11.4353i | 1.48258 | + | 0.952943i | ||||
\(13\) | −4.09039 | + | 3.43225i | −0.314646 | + | 0.264019i | −0.786409 | − | 0.617706i | \(-0.788062\pi\) |
0.471763 | + | 0.881725i | \(0.343618\pi\) | |||||||
\(14\) | −13.6351 | − | 16.2496i | −0.973933 | − | 1.16069i | ||||
\(15\) | −9.45398 | − | 18.3413i | −0.630265 | − | 1.22275i | ||||
\(16\) | −5.16785 | + | 1.88094i | −0.322990 | + | 0.117559i | ||||
\(17\) | −13.7418 | + | 7.93385i | −0.808343 | + | 0.466697i | −0.846380 | − | 0.532579i | \(-0.821223\pi\) |
0.0380373 | + | 0.999276i | \(0.487889\pi\) | |||||||
\(18\) | −24.3672 | − | 17.3569i | −1.35374 | − | 0.964275i | ||||
\(19\) | 6.78917 | − | 11.7592i | 0.357325 | − | 0.618905i | −0.630188 | − | 0.776442i | \(-0.717022\pi\) |
0.987513 | + | 0.157538i | \(0.0503556\pi\) | |||||||
\(20\) | 47.7523 | + | 8.42002i | 2.38761 | + | 0.421001i | ||||
\(21\) | 11.5928 | + | 15.2350i | 0.552038 | + | 0.725475i | ||||
\(22\) | 3.88729 | + | 1.41486i | 0.176695 | + | 0.0643118i | ||||
\(23\) | 24.4347 | − | 4.30850i | 1.06238 | − | 0.187326i | 0.384968 | − | 0.922930i | \(-0.374213\pi\) |
0.677412 | + | 0.735604i | \(0.263101\pi\) | |||||||
\(24\) | 29.0417 | − | 9.02811i | 1.21007 | − | 0.376171i | ||||
\(25\) | −17.0897 | − | 14.3399i | −0.683587 | − | 0.573597i | ||||
\(26\) | 17.7495i | 0.682674i | ||||||||
\(27\) | 21.2200 | + | 16.6947i | 0.785924 | + | 0.618323i | ||||
\(28\) | −44.9868 | −1.60667 | ||||||||
\(29\) | −19.9186 | + | 23.7381i | −0.686849 | + | 0.818554i | −0.990971 | − | 0.134079i | \(-0.957192\pi\) |
0.304122 | + | 0.952633i | \(0.401637\pi\) | |||||||
\(30\) | −66.9048 | − | 15.1160i | −2.23016 | − | 0.503867i | ||||
\(31\) | −2.75731 | − | 15.6375i | −0.0889455 | − | 0.504435i | −0.996435 | − | 0.0843610i | \(-0.973115\pi\) |
0.907490 | − | 0.420074i | \(-0.137996\pi\) | |||||||
\(32\) | 7.61653 | − | 20.9262i | 0.238016 | − | 0.653945i | ||||
\(33\) | −3.44344 | − | 1.44263i | −0.104347 | − | 0.0437161i | ||||
\(34\) | −9.15924 | + | 51.9446i | −0.269389 | + | 1.52778i | ||||
\(35\) | 38.0116 | + | 21.9460i | 1.08605 | + | 0.627029i | ||||
\(36\) | −61.4160 | + | 15.9261i | −1.70600 | + | 0.442392i | ||||
\(37\) | 26.0365 | + | 45.0965i | 0.703688 | + | 1.21882i | 0.967163 | + | 0.254158i | \(0.0817982\pi\) |
−0.263474 | + | 0.964666i | \(0.584868\pi\) | |||||||
\(38\) | −15.4374 | − | 42.4139i | −0.406247 | − | 1.11615i | ||||
\(39\) | 0.763322 | − | 16.0007i | 0.0195724 | − | 0.410274i | ||||
\(40\) | 53.4144 | − | 44.8200i | 1.33536 | − | 1.12050i | ||||
\(41\) | −0.694475 | − | 0.827643i | −0.0169384 | − | 0.0201864i | 0.757509 | − | 0.652825i | \(-0.226416\pi\) |
−0.774447 | + | 0.632639i | \(0.781972\pi\) | |||||||
\(42\) | 63.5649 | + | 3.03240i | 1.51345 | + | 0.0722000i | ||||
\(43\) | −45.3904 | + | 16.5207i | −1.05559 | + | 0.384203i | −0.810770 | − | 0.585365i | \(-0.800951\pi\) |
−0.244820 | + | 0.969569i | \(0.578729\pi\) | |||||||
\(44\) | 7.59780 | − | 4.38659i | 0.172677 | − | 0.0996953i | ||||
\(45\) | 59.6628 | + | 16.5039i | 1.32584 | + | 0.366754i | ||||
\(46\) | 41.2384 | − | 71.4270i | 0.896487 | − | 1.55276i | ||||
\(47\) | −56.7291 | − | 10.0029i | −1.20700 | − | 0.212827i | −0.466279 | − | 0.884638i | \(-0.654406\pi\) |
−0.740723 | + | 0.671811i | \(0.765517\pi\) | |||||||
\(48\) | 6.37518 | − | 15.2170i | 0.132816 | − | 0.317022i | ||||
\(49\) | 7.77884 | + | 2.83127i | 0.158752 | + | 0.0577809i | ||||
\(50\) | −73.0309 | + | 12.8773i | −1.46062 | + | 0.257546i | ||||
\(51\) | 10.4907 | − | 46.4327i | 0.205700 | − | 0.910446i | ||||
\(52\) | 28.8361 | + | 24.1963i | 0.554540 | + | 0.465314i | ||||
\(53\) | − | 13.8414i | − | 0.261159i | −0.991438 | − | 0.130579i | \(-0.958316\pi\) | ||
0.991438 | − | 0.130579i | \(-0.0416837\pi\) | |||||||
\(54\) | 87.8523 | − | 18.3633i | 1.62689 | − | 0.340060i | ||||
\(55\) | −8.55969 | −0.155631 | ||||||||
\(56\) | −41.5829 | + | 49.5566i | −0.742552 | + | 0.884939i | ||||
\(57\) | 12.0924 | + | 38.8988i | 0.212147 | + | 0.682435i | ||||
\(58\) | 17.8870 | + | 101.442i | 0.308396 | + | 1.74900i | ||||
\(59\) | 20.6246 | − | 56.6655i | 0.349569 | − | 0.960432i | −0.632938 | − | 0.774203i | \(-0.718151\pi\) |
0.982506 | − | 0.186229i | \(-0.0596268\pi\) | |||||||
\(60\) | −115.763 | + | 88.0881i | −1.92938 | + | 1.46813i | ||||
\(61\) | 17.5357 | − | 99.4497i | 0.287470 | − | 1.63032i | −0.408857 | − | 0.912598i | \(-0.634073\pi\) |
0.696327 | − | 0.717725i | \(-0.254816\pi\) | |||||||
\(62\) | −45.7111 | − | 26.3913i | −0.737276 | − | 0.425666i | ||||
\(63\) | −57.1715 | − | 5.46725i | −0.907485 | − | 0.0867817i | ||||
\(64\) | −48.0117 | − | 83.1587i | −0.750183 | − | 1.29935i | ||||
\(65\) | −12.5613 | − | 34.5119i | −0.193251 | − | 0.530952i | ||||
\(66\) | −11.0311 | + | 5.68597i | −0.167138 | + | 0.0861510i | ||||
\(67\) | −60.2302 | + | 50.5391i | −0.898958 | + | 0.754315i | −0.969986 | − | 0.243159i | \(-0.921816\pi\) |
0.0710284 | + | 0.997474i | \(0.477372\pi\) | |||||||
\(68\) | 71.9039 | + | 85.6917i | 1.05741 | + | 1.26017i | ||||
\(69\) | −40.2470 | + | 62.6160i | −0.583290 | + | 0.907478i | ||||
\(70\) | 137.103 | − | 49.9014i | 1.95862 | − | 0.712878i | ||||
\(71\) | 39.7545 | − | 22.9523i | 0.559922 | − | 0.323271i | −0.193192 | − | 0.981161i | \(-0.561884\pi\) |
0.753114 | + | 0.657890i | \(0.228551\pi\) | |||||||
\(72\) | −39.2251 | + | 82.3757i | −0.544793 | + | 1.14411i | ||||
\(73\) | −34.4926 | + | 59.7430i | −0.472502 | + | 0.818397i | −0.999505 | − | 0.0314663i | \(-0.989982\pi\) |
0.527003 | + | 0.849863i | \(0.323316\pi\) | |||||||
\(74\) | 170.466 | + | 30.0578i | 2.30360 | + | 0.406187i | ||||
\(75\) | 66.3891 | − | 8.46783i | 0.885188 | − | 0.112904i | ||||
\(76\) | −89.9505 | − | 32.7393i | −1.18356 | − | 0.430780i | ||||
\(77\) | 7.82081 | − | 1.37902i | 0.101569 | − | 0.0179094i | ||||
\(78\) | −39.1134 | − | 36.1324i | −0.501454 | − | 0.463235i | ||||
\(79\) | 30.2928 | + | 25.4187i | 0.383453 | + | 0.321756i | 0.814056 | − | 0.580786i | \(-0.197255\pi\) |
−0.430603 | + | 0.902541i | \(0.641699\pi\) | |||||||
\(80\) | − | 37.8265i | − | 0.472831i | ||||||
\(81\) | −79.9861 | + | 12.7759i | −0.987483 | + | 0.157727i | ||||
\(82\) | −3.59141 | −0.0437976 | ||||||||
\(83\) | −27.1277 | + | 32.3296i | −0.326840 | + | 0.389513i | −0.904294 | − | 0.426910i | \(-0.859602\pi\) |
0.577454 | + | 0.816423i | \(0.304046\pi\) | |||||||
\(84\) | 91.5788 | − | 99.1344i | 1.09022 | − | 1.18017i | ||||
\(85\) | −18.9520 | − | 107.482i | −0.222965 | − | 1.26450i | ||||
\(86\) | −54.9168 | + | 150.883i | −0.638567 | + | 1.75445i | ||||
\(87\) | −11.7621 | − | 92.2165i | −0.135196 | − | 1.05996i | ||||
\(88\) | 2.19073 | − | 12.4243i | 0.0248947 | − | 0.141185i | ||||
\(89\) | −61.8262 | − | 35.6954i | −0.694676 | − | 0.401072i | 0.110685 | − | 0.993856i | \(-0.464695\pi\) |
−0.805361 | + | 0.592784i | \(0.798029\pi\) | |||||||
\(90\) | 169.507 | − | 116.662i | 1.88341 | − | 1.29625i | ||||
\(91\) | 17.0371 | + | 29.5091i | 0.187221 | + | 0.324276i | ||||
\(92\) | −59.8245 | − | 164.366i | −0.650266 | − | 1.78659i | ||||
\(93\) | 40.0723 | + | 25.7569i | 0.430885 | + | 0.276955i | ||||
\(94\) | −146.684 | + | 123.083i | −1.56047 | + | 1.30939i | ||||
\(95\) | 60.0324 | + | 71.5439i | 0.631920 | + | 0.753093i | ||||
\(96\) | 30.6089 | + | 59.3832i | 0.318843 | + | 0.618575i | ||||
\(97\) | −1.06372 | + | 0.387161i | −0.0109662 | + | 0.00399135i | −0.347497 | − | 0.937681i | \(-0.612968\pi\) |
0.336531 | + | 0.941672i | \(0.390746\pi\) | |||||||
\(98\) | 23.8306 | − | 13.7586i | 0.243169 | − | 0.140394i | ||||
\(99\) | 10.1888 | − | 4.65135i | 0.102917 | − | 0.0469833i | ||||
\(100\) | −78.6359 | + | 136.201i | −0.786359 | + | 1.36201i | ||||
\(101\) | 11.1819 | + | 1.97167i | 0.110712 | + | 0.0195215i | 0.228730 | − | 0.973490i | \(-0.426543\pi\) |
−0.118018 | + | 0.993011i | \(0.537654\pi\) | |||||||
\(102\) | −95.8216 | − | 125.926i | −0.939428 | − | 1.23457i | ||||
\(103\) | 154.650 | + | 56.2881i | 1.50146 | + | 0.546486i | 0.956438 | − | 0.291937i | \(-0.0942997\pi\) |
0.545020 | + | 0.838423i | \(0.316522\pi\) | |||||||
\(104\) | 53.3084 | − | 9.39971i | 0.512581 | − | 0.0903818i | ||||
\(105\) | −125.741 | + | 39.0886i | −1.19753 | + | 0.372272i | ||||
\(106\) | −35.2460 | − | 29.5749i | −0.332509 | − | 0.279008i | ||||
\(107\) | − | 107.863i | − | 1.00807i | −0.863685 | − | 0.504033i | \(-0.831849\pi\) | ||
0.863685 | − | 0.504033i | \(-0.168151\pi\) | |||||||
\(108\) | 89.9280 | − | 167.759i | 0.832667 | − | 1.55332i | ||||
\(109\) | 176.312 | 1.61754 | 0.808770 | − | 0.588125i | \(-0.200134\pi\) | ||||
0.808770 | + | 0.588125i | \(0.200134\pi\) | |||||||
\(110\) | −18.2895 | + | 21.7965i | −0.166268 | + | 0.198150i | ||||
\(111\) | −152.378 | − | 34.4273i | −1.37278 | − | 0.310155i | ||||
\(112\) | 6.09408 | + | 34.5613i | 0.0544114 | + | 0.308583i | ||||
\(113\) | −42.8327 | + | 117.682i | −0.379050 | + | 1.04143i | 0.592701 | + | 0.805423i | \(0.298062\pi\) |
−0.971751 | + | 0.236009i | \(0.924161\pi\) | |||||||
\(114\) | 124.890 | + | 52.3228i | 1.09553 | + | 0.458972i | ||||
\(115\) | −29.6345 | + | 168.066i | −0.257692 | + | 1.46144i | ||||
\(116\) | 189.188 | + | 109.228i | 1.63093 | + | 0.941617i | ||||
\(117\) | 33.7058 | + | 34.2544i | 0.288084 | + | 0.292773i | ||||
\(118\) | −100.226 | − | 173.596i | −0.849369 | − | 1.47115i | ||||
\(119\) | 34.6322 | + | 95.1511i | 0.291027 | + | 0.799589i | ||||
\(120\) | −9.96785 | + | 208.945i | −0.0830654 | + | 1.74121i | ||||
\(121\) | 91.5050 | − | 76.7818i | 0.756240 | − | 0.634560i | ||||
\(122\) | −215.772 | − | 257.147i | −1.76862 | − | 2.10776i | ||||
\(123\) | 3.23755 | + | 0.154449i | 0.0263216 | + | 0.00125569i | ||||
\(124\) | −105.189 | + | 38.2858i | −0.848302 | + | 0.308757i | ||||
\(125\) | −16.0295 | + | 9.25462i | −0.128236 | + | 0.0740369i | ||||
\(126\) | −136.080 | + | 133.901i | −1.08000 | + | 1.06270i | ||||
\(127\) | −0.644295 | + | 1.11595i | −0.00507319 | + | 0.00878702i | −0.868551 | − | 0.495600i | \(-0.834948\pi\) |
0.863478 | + | 0.504387i | \(0.168282\pi\) | |||||||
\(128\) | −226.619 | − | 39.9591i | −1.77046 | − | 0.312181i | ||||
\(129\) | 55.9947 | − | 133.655i | 0.434067 | − | 1.03608i | ||||
\(130\) | −114.721 | − | 41.7551i | −0.882472 | − | 0.321193i | ||||
\(131\) | 90.5024 | − | 15.9580i | 0.690858 | − | 0.121817i | 0.182814 | − | 0.983148i | \(-0.441480\pi\) |
0.508045 | + | 0.861331i | \(0.330368\pi\) | |||||||
\(132\) | −5.80026 | + | 25.6725i | −0.0439414 | + | 0.194488i | ||||
\(133\) | −66.3766 | − | 55.6966i | −0.499072 | − | 0.418771i | ||||
\(134\) | 261.358i | 1.95043i | ||||||||
\(135\) | −157.823 | + | 97.8782i | −1.16906 | + | 0.725024i | ||||
\(136\) | 160.860 | 1.18279 | ||||||||
\(137\) | 37.9669 | − | 45.2471i | 0.277130 | − | 0.330271i | −0.609469 | − | 0.792810i | \(-0.708617\pi\) |
0.886599 | + | 0.462539i | \(0.153062\pi\) | |||||||
\(138\) | 73.4507 | + | 236.277i | 0.532251 | + | 1.71215i | ||||
\(139\) | −8.76836 | − | 49.7279i | −0.0630817 | − | 0.357754i | −0.999967 | − | 0.00811749i | \(-0.997416\pi\) |
0.936885 | − | 0.349637i | \(-0.113695\pi\) | |||||||
\(140\) | 105.830 | − | 290.765i | 0.755928 | − | 2.07690i | ||||
\(141\) | 137.525 | − | 104.647i | 0.975355 | − | 0.742180i | ||||
\(142\) | 26.4973 | − | 150.273i | 0.186600 | − | 1.05826i | ||||
\(143\) | −5.75477 | − | 3.32252i | −0.0402432 | − | 0.0232344i | ||||
\(144\) | 20.5549 | + | 45.0256i | 0.142743 | + | 0.312678i | ||||
\(145\) | −106.570 | − | 184.584i | −0.734963 | − | 1.27299i | ||||
\(146\) | 78.4302 | + | 215.485i | 0.537193 | + | 1.47593i | ||||
\(147\) | −22.0743 | + | 11.3782i | −0.150165 | + | 0.0774024i | ||||
\(148\) | 281.214 | − | 235.967i | 1.90009 | − | 1.59437i | ||||
\(149\) | −46.7223 | − | 55.6815i | −0.313573 | − | 0.373701i | 0.586121 | − | 0.810224i | \(-0.300654\pi\) |
−0.899693 | + | 0.436522i | \(0.856210\pi\) | |||||||
\(150\) | 120.291 | − | 187.147i | 0.801938 | − | 1.24765i | ||||
\(151\) | 3.18866 | − | 1.16058i | 0.0211170 | − | 0.00768595i | −0.331440 | − | 0.943476i | \(-0.607534\pi\) |
0.352557 | + | 0.935790i | \(0.385312\pi\) | |||||||
\(152\) | −119.209 | + | 68.8255i | −0.784272 | + | 0.452800i | ||||
\(153\) | 80.9650 | + | 117.640i | 0.529183 | + | 0.768888i | ||||
\(154\) | 13.1991 | − | 22.8616i | 0.0857087 | − | 0.148452i | ||||
\(155\) | 107.557 | + | 18.9652i | 0.693917 | + | 0.122356i | ||||
\(156\) | −112.021 | + | 14.2881i | −0.718083 | + | 0.0915904i | ||||
\(157\) | 241.142 | + | 87.7685i | 1.53594 | + | 0.559035i | 0.965066 | − | 0.262005i | \(-0.0843838\pi\) |
0.570870 | + | 0.821040i | \(0.306606\pi\) | |||||||
\(158\) | 129.453 | − | 22.8261i | 0.819324 | − | 0.144469i | ||||
\(159\) | 30.5014 | + | 28.1767i | 0.191833 | + | 0.177212i | ||||
\(160\) | 117.336 | + | 98.4565i | 0.733349 | + | 0.615353i | ||||
\(161\) | − | 158.333i | − | 0.983433i | ||||||
\(162\) | −138.373 | + | 230.976i | −0.854157 | + | 1.42578i | ||||
\(163\) | −265.211 | −1.62706 | −0.813530 | − | 0.581523i | \(-0.802457\pi\) | ||||
−0.813530 | + | 0.581523i | \(0.802457\pi\) | |||||||
\(164\) | −4.89584 | + | 5.83464i | −0.0298527 | + | 0.0355771i | ||||
\(165\) | 17.4248 | − | 18.8624i | 0.105605 | − | 0.114318i | ||||
\(166\) | 24.3608 | + | 138.157i | 0.146752 | + | 0.832271i | ||||
\(167\) | −1.10732 | + | 3.04234i | −0.00663066 | + | 0.0182176i | −0.942964 | − | 0.332895i | \(-0.891974\pi\) |
0.936333 | + | 0.351113i | \(0.114197\pi\) | |||||||
\(168\) | −24.5550 | − | 192.515i | −0.146161 | − | 1.14592i | ||||
\(169\) | −24.3955 | + | 138.354i | −0.144352 | + | 0.818663i | ||||
\(170\) | −314.189 | − | 181.397i | −1.84817 | − | 1.06704i | ||||
\(171\) | −110.335 | − | 52.5385i | −0.645233 | − | 0.307242i | ||||
\(172\) | 170.262 | + | 294.903i | 0.989898 | + | 1.71455i | ||||
\(173\) | −65.8301 | − | 180.867i | −0.380521 | − | 1.04547i | −0.971138 | − | 0.238520i | \(-0.923338\pi\) |
0.590617 | − | 0.806952i | \(-0.298884\pi\) | |||||||
\(174\) | −259.953 | − | 167.087i | −1.49399 | − | 0.960273i | ||||
\(175\) | −109.056 | + | 91.5085i | −0.623175 | + | 0.522906i | ||||
\(176\) | −4.39924 | − | 5.24281i | −0.0249957 | − | 0.0297887i | ||||
\(177\) | 82.8850 | + | 160.802i | 0.468277 | + | 0.908485i | ||||
\(178\) | −222.999 | + | 81.1650i | −1.25280 | + | 0.455983i | ||||
\(179\) | −191.363 | + | 110.484i | −1.06907 | + | 0.617228i | −0.927927 | − | 0.372762i | \(-0.878411\pi\) |
−0.141142 | + | 0.989989i | \(0.545078\pi\) | |||||||
\(180\) | 41.5429 | − | 434.419i | 0.230794 | − | 2.41344i | ||||
\(181\) | −72.7860 | + | 126.069i | −0.402133 | + | 0.696514i | −0.993983 | − | 0.109534i | \(-0.965064\pi\) |
0.591851 | + | 0.806048i | \(0.298398\pi\) | |||||||
\(182\) | 111.546 | + | 19.6685i | 0.612887 | + | 0.108069i | ||||
\(183\) | 183.454 | + | 241.090i | 1.00248 | + | 1.31743i | ||||
\(184\) | −236.361 | − | 86.0282i | −1.28457 | − | 0.467545i | ||||
\(185\) | −352.724 | + | 62.1948i | −1.90662 | + | 0.336188i | ||||
\(186\) | 151.210 | − | 47.0062i | 0.812957 | − | 0.252721i | ||||
\(187\) | −15.1270 | − | 12.6931i | −0.0808933 | − | 0.0678775i | ||||
\(188\) | 406.093i | 2.16007i | ||||||||
\(189\) | 128.431 | − | 114.856i | 0.679528 | − | 0.607701i | ||||
\(190\) | 310.452 | 1.63396 | ||||||||
\(191\) | 50.2313 | − | 59.8633i | 0.262991 | − | 0.313420i | −0.618349 | − | 0.785904i | \(-0.712198\pi\) |
0.881339 | + | 0.472484i | \(0.156642\pi\) | |||||||
\(192\) | 280.988 | + | 63.4844i | 1.46348 | + | 0.330648i | ||||
\(193\) | −38.8821 | − | 220.511i | −0.201462 | − | 1.14255i | −0.902911 | − | 0.429827i | \(-0.858575\pi\) |
0.701450 | − | 0.712719i | \(-0.252537\pi\) | |||||||
\(194\) | −1.28697 | + | 3.53591i | −0.00663385 | + | 0.0182263i | ||||
\(195\) | 101.622 | + | 42.5747i | 0.521140 | + | 0.218332i | ||||
\(196\) | 10.1337 | − | 57.4713i | 0.0517028 | − | 0.293221i | ||||
\(197\) | 299.369 | + | 172.841i | 1.51964 | + | 0.877364i | 0.999732 | + | 0.0231411i | \(0.00736671\pi\) |
0.519907 | + | 0.854223i | \(0.325967\pi\) | |||||||
\(198\) | 9.92606 | − | 35.8834i | 0.0501316 | − | 0.181229i | ||||
\(199\) | 78.7794 | + | 136.450i | 0.395876 | + | 0.685678i | 0.993213 | − | 0.116313i | \(-0.0371075\pi\) |
−0.597336 | + | 0.801991i | \(0.703774\pi\) | |||||||
\(200\) | 77.3507 | + | 212.519i | 0.386754 | + | 1.06260i | ||||
\(201\) | 11.2398 | − | 235.607i | 0.0559192 | − | 1.17217i | ||||
\(202\) | 28.9130 | − | 24.2609i | 0.143134 | − | 0.120104i | ||||
\(203\) | 127.108 | + | 151.482i | 0.626148 | + | 0.746214i | ||||
\(204\) | −335.206 | − | 15.9912i | −1.64317 | − | 0.0783883i | ||||
\(205\) | 6.98308 | − | 2.54163i | 0.0340638 | − | 0.0123982i | ||||
\(206\) | 473.773 | − | 273.533i | 2.29987 | − | 1.32783i | ||||
\(207\) | −56.0526 | − | 216.156i | −0.270785 | − | 1.04423i | ||||
\(208\) | 14.6827 | − | 25.4311i | 0.0705897 | − | 0.122265i | ||||
\(209\) | 16.6412 | + | 2.93429i | 0.0796229 | + | 0.0140397i | ||||
\(210\) | −169.134 | + | 403.708i | −0.805398 | + | 1.92242i | ||||
\(211\) | −349.874 | − | 127.344i | −1.65817 | − | 0.603524i | −0.668095 | − | 0.744076i | \(-0.732890\pi\) |
−0.990073 | + | 0.140552i | \(0.955112\pi\) | |||||||
\(212\) | −96.0954 | + | 16.9442i | −0.453280 | + | 0.0799255i | ||||
\(213\) | −30.3491 | + | 134.328i | −0.142484 | + | 0.630647i | ||||
\(214\) | −274.664 | − | 230.470i | −1.28348 | − | 1.07696i | ||||
\(215\) | − | 332.238i | − | 1.54529i | ||||||
\(216\) | −101.676 | − | 254.128i | −0.470723 | − | 1.17652i | ||||
\(217\) | −101.328 | −0.466950 | ||||||||
\(218\) | 376.725 | − | 448.963i | 1.72810 | − | 2.05947i | ||||
\(219\) | −61.4356 | − | 197.627i | −0.280528 | − | 0.902406i | ||||
\(220\) | 10.4785 | + | 59.4265i | 0.0476296 | + | 0.270121i | ||||
\(221\) | 28.9786 | − | 79.6179i | 0.131125 | − | 0.360262i | ||||
\(222\) | −413.252 | + | 314.457i | −1.86149 | + | 1.41647i | ||||
\(223\) | 16.2189 | − | 91.9821i | 0.0727306 | − | 0.412476i | −0.926605 | − | 0.376036i | \(-0.877287\pi\) |
0.999336 | − | 0.0364403i | \(-0.0116019\pi\) | |||||||
\(224\) | −123.069 | − | 71.0541i | −0.549417 | − | 0.317206i | ||||
\(225\) | −116.487 | + | 163.535i | −0.517720 | + | 0.726822i | ||||
\(226\) | 208.146 | + | 360.520i | 0.921001 | + | 1.59522i | ||||
\(227\) | 124.898 | + | 343.154i | 0.550211 | + | 1.51169i | 0.833423 | + | 0.552636i | \(0.186378\pi\) |
−0.283211 | + | 0.959058i | \(0.591400\pi\) | |||||||
\(228\) | 255.256 | − | 131.571i | 1.11954 | − | 0.577066i | ||||
\(229\) | −81.6070 | + | 68.4764i | −0.356362 | + | 0.299023i | −0.803339 | − | 0.595522i | \(-0.796945\pi\) |
0.446977 | + | 0.894546i | \(0.352501\pi\) | |||||||
\(230\) | 364.646 | + | 434.568i | 1.58542 | + | 1.88942i | ||||
\(231\) | −12.8818 | + | 20.0415i | −0.0557655 | + | 0.0867595i | ||||
\(232\) | 295.196 | − | 107.443i | 1.27240 | − | 0.463114i | ||||
\(233\) | −206.035 | + | 118.954i | −0.884270 | + | 0.510533i | −0.872064 | − | 0.489392i | \(-0.837219\pi\) |
−0.0122058 | + | 0.999926i | \(0.503885\pi\) | |||||||
\(234\) | 159.245 | − | 12.6377i | 0.680534 | − | 0.0540072i | ||||
\(235\) | 198.105 | − | 343.128i | 0.843001 | − | 1.46012i | ||||
\(236\) | −418.654 | − | 73.8200i | −1.77396 | − | 0.312797i | ||||
\(237\) | −117.680 | + | 15.0099i | −0.496540 | + | 0.0633329i | ||||
\(238\) | 316.293 | + | 115.121i | 1.32896 | + | 0.483702i | ||||
\(239\) | 84.6278 | − | 14.9222i | 0.354091 | − | 0.0624358i | 0.00622654 | − | 0.999981i | \(-0.498018\pi\) |
0.347865 | + | 0.937545i | \(0.386907\pi\) | |||||||
\(240\) | 83.3556 | + | 77.0026i | 0.347315 | + | 0.320844i | ||||
\(241\) | −22.4930 | − | 18.8739i | −0.0933319 | − | 0.0783148i | 0.594928 | − | 0.803779i | \(-0.297181\pi\) |
−0.688260 | + | 0.725464i | \(0.741625\pi\) | |||||||
\(242\) | − | 397.069i | − | 1.64078i | ||||||
\(243\) | 134.673 | − | 202.268i | 0.554210 | − | 0.832377i | ||||
\(244\) | −711.906 | −2.91765 | ||||||||
\(245\) | −36.5989 | + | 43.6169i | −0.149383 | + | 0.178028i | ||||
\(246\) | 7.31096 | − | 7.91414i | 0.0297193 | − | 0.0321713i | ||||
\(247\) | 12.5901 | + | 71.4018i | 0.0509719 | + | 0.289076i | ||||
\(248\) | −55.0555 | + | 151.264i | −0.221998 | + | 0.609934i | ||||
\(249\) | −16.0191 | − | 125.592i | −0.0643338 | − | 0.504387i | ||||
\(250\) | −10.6840 | + | 60.5920i | −0.0427360 | + | 0.242368i | ||||
\(251\) | −108.333 | − | 62.5458i | −0.431604 | − | 0.249186i | 0.268426 | − | 0.963300i | \(-0.413497\pi\) |
−0.700030 | + | 0.714114i | \(0.746830\pi\) | |||||||
\(252\) | 32.0307 | + | 403.612i | 0.127106 | + | 1.60164i | ||||
\(253\) | 15.4388 | + | 26.7407i | 0.0610228 | + | 0.105695i | ||||
\(254\) | 1.46501 | + | 4.02509i | 0.00576777 | + | 0.0158468i | ||||
\(255\) | 275.432 | + | 177.036i | 1.08013 | + | 0.694261i | ||||
\(256\) | −291.737 | + | 244.796i | −1.13960 | + | 0.956234i | ||||
\(257\) | −150.115 | − | 178.900i | −0.584104 | − | 0.696108i | 0.390357 | − | 0.920663i | \(-0.372352\pi\) |
−0.974461 | + | 0.224555i | \(0.927907\pi\) | |||||||
\(258\) | −220.697 | − | 428.165i | −0.855414 | − | 1.65956i | ||||
\(259\) | 312.257 | − | 113.652i | 1.20563 | − | 0.438812i | ||||
\(260\) | −224.225 | + | 129.456i | −0.862405 | + | 0.497910i | ||||
\(261\) | 227.155 | + | 161.804i | 0.870326 | + | 0.619939i | ||||
\(262\) | 152.740 | − | 264.554i | 0.582979 | − | 1.00975i | ||||
\(263\) | −121.603 | − | 21.4418i | −0.462368 | − | 0.0815279i | −0.0623882 | − | 0.998052i | \(-0.519872\pi\) |
−0.399980 | + | 0.916524i | \(0.630983\pi\) | |||||||
\(264\) | 22.9189 | + | 30.1194i | 0.0868140 | + | 0.114089i | ||||
\(265\) | 89.4618 | + | 32.5614i | 0.337592 | + | 0.122873i | ||||
\(266\) | −283.653 | + | 50.0157i | −1.06637 | + | 0.188029i | ||||
\(267\) | 204.518 | − | 63.5779i | 0.765985 | − | 0.238119i | ||||
\(268\) | 424.605 | + | 356.286i | 1.58435 | + | 1.32942i | ||||
\(269\) | 509.553i | 1.89425i | 0.320867 | + | 0.947124i | \(0.396026\pi\) | ||||
−0.320867 | + | 0.947124i | \(0.603974\pi\) | |||||||
\(270\) | −87.9814 | + | 611.019i | −0.325857 | + | 2.26303i | ||||
\(271\) | 49.6722 | 0.183292 | 0.0916461 | − | 0.995792i | \(-0.470787\pi\) | ||||
0.0916461 | + | 0.995792i | \(0.470787\pi\) | |||||||
\(272\) | 56.0925 | − | 66.8485i | 0.206223 | − | 0.245766i | ||||
\(273\) | −99.7093 | − | 22.5276i | −0.365236 | − | 0.0825188i | ||||
\(274\) | −34.0944 | − | 193.359i | −0.124432 | − | 0.705689i | ||||
\(275\) | 9.49550 | − | 26.0887i | 0.0345291 | − | 0.0948679i | ||||
\(276\) | 483.987 | + | 202.766i | 1.75358 | + | 0.734661i | ||||
\(277\) | 19.8143 | − | 112.372i | 0.0715316 | − | 0.405676i | −0.927927 | − | 0.372763i | \(-0.878410\pi\) |
0.999458 | − | 0.0329130i | \(-0.0104784\pi\) | |||||||
\(278\) | −145.363 | − | 83.9254i | −0.522889 | − | 0.301890i | ||||
\(279\) | −138.333 | + | 35.8720i | −0.495818 | + | 0.128573i | ||||
\(280\) | −222.479 | − | 385.345i | −0.794568 | − | 1.37623i | ||||
\(281\) | −8.86037 | − | 24.3437i | −0.0315316 | − | 0.0866323i | 0.922928 | − | 0.384973i | \(-0.125789\pi\) |
−0.954460 | + | 0.298340i | \(0.903567\pi\) | |||||||
\(282\) | 27.3733 | − | 573.796i | 0.0970683 | − | 2.03474i | ||||
\(283\) | −120.665 | + | 101.250i | −0.426380 | + | 0.357775i | −0.830584 | − | 0.556894i | \(-0.811993\pi\) |
0.404204 | + | 0.914669i | \(0.367549\pi\) | |||||||
\(284\) | −208.015 | − | 247.902i | −0.732446 | − | 0.872895i | ||||
\(285\) | −279.863 | − | 13.3510i | −0.981977 | − | 0.0468458i | ||||
\(286\) | −20.7567 | + | 7.55483i | −0.0725759 | + | 0.0264155i | ||||
\(287\) | −5.97082 | + | 3.44725i | −0.0208042 | + | 0.0120113i | ||||
\(288\) | −193.169 | − | 53.4344i | −0.670725 | − | 0.185536i | ||||
\(289\) | −18.6082 | + | 32.2303i | −0.0643881 | + | 0.111523i | ||||
\(290\) | −697.734 | − | 123.029i | −2.40598 | − | 0.424239i | ||||
\(291\) | 1.31223 | − | 3.13218i | 0.00450937 | − | 0.0107635i | ||||
\(292\) | 456.997 | + | 166.333i | 1.56506 | + | 0.569634i | ||||
\(293\) | 413.555 | − | 72.9209i | 1.41145 | − | 0.248877i | 0.584611 | − | 0.811314i | \(-0.301247\pi\) |
0.826840 | + | 0.562437i | \(0.190136\pi\) | |||||||
\(294\) | −18.1926 | + | 80.5220i | −0.0618796 | + | 0.273884i | ||||
\(295\) | 317.730 | + | 266.607i | 1.07705 | + | 0.903754i | ||||
\(296\) | − | 527.892i | − | 1.78342i | ||||||
\(297\) | −10.4912 | + | 31.9210i | −0.0353241 | + | 0.107478i | ||||
\(298\) | −241.620 | −0.810804 | ||||||||
\(299\) | −85.1599 | + | 101.490i | −0.284816 | + | 0.339430i | ||||
\(300\) | −140.060 | − | 450.547i | −0.466867 | − | 1.50182i | ||||
\(301\) | 53.5257 | + | 303.559i | 0.177826 | + | 1.00850i | ||||
\(302\) | 3.85789 | − | 10.5995i | 0.0127745 | − | 0.0350976i | ||||
\(303\) | −27.1076 | + | 20.6271i | −0.0894642 | + | 0.0680763i | ||||
\(304\) | −12.9670 | + | 73.5397i | −0.0426547 | + | 0.241907i | ||||
\(305\) | 601.526 | + | 347.291i | 1.97222 | + | 1.13866i | ||||
\(306\) | 472.558 | + | 45.1901i | 1.54431 | + | 0.147680i | ||||
\(307\) | −101.037 | − | 175.001i | −0.329110 | − | 0.570035i | 0.653225 | − | 0.757163i | \(-0.273415\pi\) |
−0.982336 | + | 0.187128i | \(0.940082\pi\) | |||||||
\(308\) | −19.1480 | − | 52.6087i | −0.0621688 | − | 0.170807i | ||||
\(309\) | −438.857 | + | 226.208i | −1.42025 | + | 0.732064i | ||||
\(310\) | 278.110 | − | 233.362i | 0.897129 | − | 0.752781i | ||||
\(311\) | −170.488 | − | 203.179i | −0.548192 | − | 0.653310i | 0.418811 | − | 0.908073i | \(-0.362447\pi\) |
−0.967003 | + | 0.254763i | \(0.918002\pi\) | |||||||
\(312\) | −87.8054 | + | 136.607i | −0.281428 | + | 0.437843i | ||||
\(313\) | −259.112 | + | 94.3092i | −0.827835 | + | 0.301307i | −0.720970 | − | 0.692966i | \(-0.756304\pi\) |
−0.106865 | + | 0.994274i | \(0.534081\pi\) | |||||||
\(314\) | 738.742 | − | 426.513i | 2.35268 | − | 1.35832i | ||||
\(315\) | 169.831 | − | 356.658i | 0.539146 | − | 1.13225i | ||||
\(316\) | 139.388 | − | 241.428i | 0.441102 | − | 0.764012i | ||||
\(317\) | 34.4742 | + | 6.07873i | 0.108751 | + | 0.0191758i | 0.227759 | − | 0.973718i | \(-0.426860\pi\) |
−0.119008 | + | 0.992893i | \(0.537971\pi\) | |||||||
\(318\) | 136.922 | − | 17.4642i | 0.430571 | − | 0.0549187i | ||||
\(319\) | −36.2379 | − | 13.1895i | −0.113599 | − | 0.0413465i | ||||
\(320\) | 650.430 | − | 114.688i | 2.03259 | − | 0.358401i | ||||
\(321\) | 237.690 | + | 219.575i | 0.740469 | + | 0.684033i | ||||
\(322\) | −403.181 | − | 338.309i | −1.25211 | − | 1.05065i | ||||
\(323\) | 215.457i | 0.667049i | ||||||||
\(324\) | 186.614 | + | 539.672i | 0.575970 | + | 1.66565i | ||||
\(325\) | 119.122 | 0.366528 | ||||||||
\(326\) | −566.675 | + | 675.337i | −1.73827 | + | 2.07159i | ||||
\(327\) | −358.915 | + | 388.527i | −1.09760 | + | 1.18816i | ||||
\(328\) | 1.90192 | + | 10.7863i | 0.00579854 | + | 0.0328851i | ||||
\(329\) | −125.725 | + | 345.425i | −0.382142 | + | 1.04993i | ||||
\(330\) | −10.8000 | − | 84.6741i | −0.0327274 | − | 0.256588i | ||||
\(331\) | 36.6162 | − | 207.661i | 0.110623 | − | 0.627373i | −0.878202 | − | 0.478290i | \(-0.841257\pi\) |
0.988825 | − | 0.149083i | \(-0.0476322\pi\) | |||||||
\(332\) | 257.660 | + | 148.760i | 0.776086 | + | 0.448073i | ||||
\(333\) | 386.058 | − | 265.703i | 1.15933 | − | 0.797906i | ||||
\(334\) | 5.38105 | + | 9.32025i | 0.0161109 | + | 0.0279049i | ||||
\(335\) | −184.963 | − | 508.180i | −0.552127 | − | 1.51696i | ||||
\(336\) | −88.5659 | − | 56.9266i | −0.263589 | − | 0.169424i | ||||
\(337\) | 118.176 | − | 99.1618i | 0.350672 | − | 0.294249i | −0.450388 | − | 0.892833i | \(-0.648714\pi\) |
0.801060 | + | 0.598584i | \(0.204270\pi\) | |||||||
\(338\) | 300.181 | + | 357.742i | 0.888109 | + | 1.05841i | ||||
\(339\) | −172.134 | − | 333.950i | −0.507769 | − | 0.985104i | ||||
\(340\) | −723.007 | + | 263.153i | −2.12649 | + | 0.773979i | ||||
\(341\) | 17.1133 | − | 9.88034i | 0.0501855 | − | 0.0289746i | ||||
\(342\) | −369.537 | + | 168.700i | −1.08052 | + | 0.493274i | ||||
\(343\) | 182.756 | − | 316.543i | 0.532817 | − | 0.922867i | ||||
\(344\) | 482.239 | + | 85.0317i | 1.40186 | + | 0.247185i | ||||
\(345\) | −310.029 | − | 407.432i | −0.898635 | − | 1.18096i | ||||
\(346\) | −601.220 | − | 218.826i | −1.73763 | − | 0.632446i | ||||
\(347\) | −288.832 | + | 50.9288i | −0.832368 | + | 0.146769i | −0.573564 | − | 0.819161i | \(-0.694440\pi\) |
−0.258804 | + | 0.965930i | \(0.583328\pi\) | |||||||
\(348\) | −625.824 | + | 194.548i | −1.79834 | + | 0.559046i | ||||
\(349\) | −313.333 | − | 262.918i | −0.897803 | − | 0.753346i | 0.0719569 | − | 0.997408i | \(-0.477076\pi\) |
−0.969760 | + | 0.244062i | \(0.921520\pi\) | |||||||
\(350\) | 473.227i | 1.35208i | ||||||||
\(351\) | −144.098 | + | 4.54415i | −0.410537 | + | 0.0129463i | ||||
\(352\) | 27.7135 | 0.0787316 | ||||||||
\(353\) | 321.434 | − | 383.070i | 0.910577 | − | 1.08518i | −0.0854686 | − | 0.996341i | \(-0.527239\pi\) |
0.996046 | − | 0.0888426i | \(-0.0283168\pi\) | |||||||
\(354\) | 586.568 | + | 132.525i | 1.65697 | + | 0.374365i | ||||
\(355\) | 54.8274 | + | 310.941i | 0.154443 | + | 0.875892i | ||||
\(356\) | −172.133 | + | 472.932i | −0.483520 | + | 1.32846i | ||||
\(357\) | −280.178 | − | 117.381i | −0.784813 | − | 0.328798i | ||||
\(358\) | −127.548 | + | 723.361i | −0.356280 | + | 2.02056i | ||||
\(359\) | −216.295 | − | 124.878i | −0.602492 | − | 0.347849i | 0.167529 | − | 0.985867i | \(-0.446421\pi\) |
−0.770021 | + | 0.638018i | \(0.779754\pi\) | |||||||
\(360\) | −440.147 | − | 447.311i | −1.22263 | − | 1.24253i | ||||
\(361\) | 88.3143 | + | 152.965i | 0.244638 | + | 0.423725i | ||||
\(362\) | 165.503 | + | 454.715i | 0.457189 | + | 1.25612i | ||||
\(363\) | −17.0761 | + | 357.947i | −0.0470415 | + | 0.986079i | ||||
\(364\) | 184.014 | − | 154.406i | 0.505532 | − | 0.424192i | ||||
\(365\) | −304.997 | − | 363.481i | −0.835608 | − | 0.995839i | ||||
\(366\) | 1005.90 | + | 47.9871i | 2.74836 | + | 0.131112i | ||||
\(367\) | 300.825 | − | 109.491i | 0.819686 | − | 0.298341i | 0.102068 | − | 0.994777i | \(-0.467454\pi\) |
0.717619 | + | 0.696436i | \(0.245232\pi\) | |||||||
\(368\) | −118.171 | + | 68.2260i | −0.321117 | + | 0.185397i | ||||
\(369\) | −6.93097 | + | 6.81997i | −0.0187831 | + | 0.0184823i | ||||
\(370\) | −595.291 | + | 1031.07i | −1.60889 | + | 2.78669i | ||||
\(371\) | −86.9853 | − | 15.3379i | −0.234462 | − | 0.0413419i | ||||
\(372\) | 129.764 | − | 309.737i | 0.348829 | − | 0.832626i | ||||
\(373\) | −185.784 | − | 67.6197i | −0.498079 | − | 0.181286i | 0.0807505 | − | 0.996734i | \(-0.474268\pi\) |
−0.578830 | + | 0.815448i | \(0.696491\pi\) | |||||||
\(374\) | −64.6438 | + | 11.3984i | −0.172844 | + | 0.0304771i | ||||
\(375\) | 12.2371 | − | 54.1625i | 0.0326323 | − | 0.144433i | ||||
\(376\) | 447.344 | + | 375.366i | 1.18974 | + | 0.998313i | ||||
\(377\) | − | 165.464i | − | 0.438896i | ||||||
\(378\) | −18.0522 | − | 572.450i | −0.0477572 | − | 1.51442i | ||||
\(379\) | 364.905 | 0.962811 | 0.481405 | − | 0.876498i | \(-0.340127\pi\) | ||||
0.481405 | + | 0.876498i | \(0.340127\pi\) | |||||||
\(380\) | 423.211 | − | 504.363i | 1.11371 | − | 1.32727i | ||||
\(381\) | −1.14757 | − | 3.69151i | −0.00301199 | − | 0.00968901i | ||||
\(382\) | −45.1079 | − | 255.819i | −0.118083 | − | 0.669684i | ||||
\(383\) | 221.375 | − | 608.221i | 0.578001 | − | 1.58805i | −0.213543 | − | 0.976934i | \(-0.568500\pi\) |
0.791544 | − | 0.611112i | \(-0.209277\pi\) | |||||||
\(384\) | 549.380 | − | 418.042i | 1.43068 | − | 1.08865i | ||||
\(385\) | −9.48511 | + | 53.7927i | −0.0246367 | + | 0.139721i | ||||
\(386\) | −644.593 | − | 372.156i | −1.66993 | − | 0.964134i | ||||
\(387\) | 180.539 | + | 395.470i | 0.466508 | + | 1.02189i | ||||
\(388\) | 3.99007 | + | 6.91101i | 0.0102837 | + | 0.0178119i | ||||
\(389\) | 19.3516 | + | 53.1682i | 0.0497471 | + | 0.136679i | 0.962078 | − | 0.272775i | \(-0.0879414\pi\) |
−0.912331 | + | 0.409454i | \(0.865719\pi\) | |||||||
\(390\) | 325.549 | − | 167.804i | 0.834741 | − | 0.430266i | ||||
\(391\) | −301.595 | + | 253.068i | −0.771343 | + | 0.647233i | ||||
\(392\) | −53.9423 | − | 64.2859i | −0.137608 | − | 0.163995i | ||||
\(393\) | −149.069 | + | 231.920i | −0.379309 | + | 0.590126i | ||||
\(394\) | 1079.78 | − | 393.010i | 2.74057 | − | 0.997486i | ||||
\(395\) | −235.553 | + | 135.996i | −0.596336 | + | 0.344295i | ||||
\(396\) | −44.7652 | − | 65.0426i | −0.113044 | − | 0.164249i | ||||
\(397\) | −327.487 | + | 567.224i | −0.824905 | + | 1.42878i | 0.0770876 | + | 0.997024i | \(0.475438\pi\) |
−0.901992 | + | 0.431752i | \(0.857895\pi\) | |||||||
\(398\) | 515.786 | + | 90.9470i | 1.29594 | + | 0.228510i | ||||
\(399\) | 257.856 | − | 32.8892i | 0.646257 | − | 0.0824291i | ||||
\(400\) | 115.289 | + | 41.9619i | 0.288223 | + | 0.104905i | ||||
\(401\) | 124.761 | − | 21.9988i | 0.311125 | − | 0.0548598i | −0.0159053 | − | 0.999874i | \(-0.505063\pi\) |
0.327031 | + | 0.945014i | \(0.393952\pi\) | |||||||
\(402\) | −575.937 | − | 532.041i | −1.43268 | − | 1.32349i | ||||
\(403\) | 64.9502 | + | 54.4997i | 0.161167 | + | 0.135235i | ||||
\(404\) | − | 80.0452i | − | 0.198132i | ||||||
\(405\) | 105.590 | − | 547.033i | 0.260716 | − | 1.35070i | ||||
\(406\) | 657.326 | 1.61903 | ||||||||
\(407\) | −41.6549 | + | 49.6424i | −0.102346 | + | 0.121971i | ||||
\(408\) | −327.459 | + | 354.475i | −0.802595 | + | 0.868812i | ||||
\(409\) | 94.5803 | + | 536.391i | 0.231248 | + | 1.31147i | 0.850374 | + | 0.526179i | \(0.176376\pi\) |
−0.619126 | + | 0.785291i | \(0.712513\pi\) | |||||||
\(410\) | 8.44866 | − | 23.2125i | 0.0206065 | − | 0.0566159i | ||||
\(411\) | 22.4197 | + | 175.774i | 0.0545491 | + | 0.427673i | ||||
\(412\) | 201.468 | − | 1142.58i | 0.489000 | − | 2.77325i | ||||
\(413\) | −333.256 | − | 192.405i | −0.806915 | − | 0.465873i | ||||
\(414\) | −670.190 | − | 319.126i | −1.61882 | − | 0.770836i | ||||
\(415\) | −145.140 | − | 251.390i | −0.349736 | − | 0.605760i | ||||
\(416\) | 40.6694 | + | 111.738i | 0.0977631 | + | 0.268602i | ||||
\(417\) | 127.432 | + | 81.9078i | 0.305591 | + | 0.196422i | ||||
\(418\) | 43.0291 | − | 36.1057i | 0.102940 | − | 0.0863773i | ||||
\(419\) | 429.462 | + | 511.813i | 1.02497 | + | 1.22151i | 0.974872 | + | 0.222765i | \(0.0715083\pi\) |
0.0500962 | + | 0.998744i | \(0.484047\pi\) | |||||||
\(420\) | 425.304 | + | 825.116i | 1.01263 | + | 1.96456i | ||||
\(421\) | −213.714 | + | 77.7856i | −0.507635 | + | 0.184764i | −0.583125 | − | 0.812383i | \(-0.698170\pi\) |
0.0754901 | + | 0.997147i | \(0.475948\pi\) | |||||||
\(422\) | −1071.84 | + | 618.829i | −2.53991 | + | 1.46642i | ||||
\(423\) | −49.3524 | + | 516.084i | −0.116672 | + | 1.22006i | ||||
\(424\) | −70.1589 | + | 121.519i | −0.165469 | + | 0.286601i | ||||
\(425\) | 348.614 | + | 61.4701i | 0.820269 | + | 0.144635i | ||||
\(426\) | 277.208 | + | 364.299i | 0.650722 | + | 0.855162i | ||||
\(427\) | −605.553 | − | 220.403i | −1.41816 | − | 0.516167i | ||||
\(428\) | −748.850 | + | 132.042i | −1.74965 | + | 0.308510i | ||||
\(429\) | 19.0365 | − | 5.91782i | 0.0443741 | − | 0.0137944i | ||||
\(430\) | −846.017 | − | 709.892i | −1.96748 | − | 1.65091i | ||||
\(431\) | − | 429.608i | − | 0.996769i | −0.866956 | − | 0.498385i | \(-0.833927\pi\) | ||
0.866956 | − | 0.498385i | \(-0.166073\pi\) | |||||||
\(432\) | −141.063 | − | 46.3623i | −0.326535 | − | 0.107320i | ||||
\(433\) | −11.9987 | −0.0277106 | −0.0138553 | − | 0.999904i | \(-0.504410\pi\) | ||||
−0.0138553 | + | 0.999904i | \(0.504410\pi\) | |||||||
\(434\) | −216.507 | + | 258.023i | −0.498865 | + | 0.594524i | ||||
\(435\) | 623.697 | + | 140.914i | 1.43379 | + | 0.323940i | ||||
\(436\) | −215.835 | − | 1224.06i | −0.495035 | − | 2.80749i | ||||
\(437\) | 115.227 | − | 316.584i | 0.263678 | − | 0.724448i | ||||
\(438\) | −634.509 | − | 265.828i | −1.44865 | − | 0.606913i | ||||
\(439\) | −13.0874 | + | 74.2226i | −0.0298119 | + | 0.169072i | −0.996079 | − | 0.0884713i | \(-0.971802\pi\) |
0.966267 | + | 0.257543i | \(0.0829130\pi\) | |||||||
\(440\) | 75.1487 | + | 43.3871i | 0.170793 | + | 0.0986071i | ||||
\(441\) | 19.8630 | − | 71.8060i | 0.0450408 | − | 0.162825i | ||||
\(442\) | −140.822 | − | 243.911i | −0.318602 | − | 0.551834i | ||||
\(443\) | 84.8156 | + | 233.029i | 0.191457 | + | 0.526024i | 0.997863 | − | 0.0653379i | \(-0.0208125\pi\) |
−0.806406 | + | 0.591362i | \(0.798590\pi\) | |||||||
\(444\) | −52.4783 | + | 1100.05i | −0.118194 | + | 2.47758i | ||||
\(445\) | 376.156 | − | 315.632i | 0.845294 | − | 0.709286i | ||||
\(446\) | −199.570 | − | 237.838i | −0.447466 | − | 0.533269i | ||||
\(447\) | 217.813 | + | 10.3909i | 0.487278 | + | 0.0232459i | ||||
\(448\) | −575.807 | + | 209.577i | −1.28528 | + | 0.467805i | ||||
\(449\) | 178.012 | − | 102.775i | 0.396462 | − | 0.228898i | −0.288494 | − | 0.957482i | \(-0.593155\pi\) |
0.684956 | + | 0.728584i | \(0.259821\pi\) | |||||||
\(450\) | 167.531 | + | 646.049i | 0.372290 | + | 1.43566i | ||||
\(451\) | 0.672273 | − | 1.16441i | 0.00149063 | − | 0.00258184i | ||||
\(452\) | 869.452 | + | 153.308i | 1.92357 | + | 0.339177i | ||||
\(453\) | −3.93361 | + | 9.38921i | −0.00868347 | + | 0.0207267i | ||||
\(454\) | 1140.68 | + | 415.175i | 2.51252 | + | 0.914482i | ||||
\(455\) | −230.807 | + | 40.6975i | −0.507268 | + | 0.0894450i | ||||
\(456\) | 91.0060 | − | 402.801i | 0.199575 | − | 0.883335i | ||||
\(457\) | 489.550 | + | 410.781i | 1.07122 | + | 0.898864i | 0.995163 | − | 0.0982390i | \(-0.0313210\pi\) |
0.0760617 | + | 0.997103i | \(0.475765\pi\) | |||||||
\(458\) | 354.118i | 0.773184i | ||||||||
\(459\) | −424.054 | − | 61.0601i | −0.923865 | − | 0.133029i | ||||
\(460\) | 1203.09 | 2.61542 | ||||||||
\(461\) | 91.0478 | − | 108.507i | 0.197501 | − | 0.235372i | −0.658200 | − | 0.752843i | \(-0.728682\pi\) |
0.855701 | + | 0.517471i | \(0.173126\pi\) | |||||||
\(462\) | 23.5093 | + | 75.6250i | 0.0508860 | + | 0.163690i | ||||
\(463\) | −48.9254 | − | 277.470i | −0.105670 | − | 0.599287i | −0.990950 | − | 0.134229i | \(-0.957144\pi\) |
0.885280 | − | 0.465059i | \(-0.153967\pi\) | |||||||
\(464\) | 58.2864 | − | 160.140i | 0.125617 | − | 0.345130i | ||||
\(465\) | −260.744 | + | 198.409i | −0.560740 | + | 0.426687i | ||||
\(466\) | −137.327 | + | 778.819i | −0.294693 | + | 1.67129i | ||||
\(467\) | 462.423 | + | 266.980i | 0.990199 | + | 0.571692i | 0.905334 | − | 0.424700i | \(-0.139621\pi\) |
0.0848656 | + | 0.996392i | \(0.472954\pi\) | |||||||
\(468\) | 196.553 | − | 275.939i | 0.419985 | − | 0.589613i | ||||
\(469\) | 250.868 | + | 434.515i | 0.534899 | + | 0.926472i | ||||
\(470\) | −450.457 | − | 1237.62i | −0.958419 | − | 2.63323i | ||||
\(471\) | −684.298 | + | 352.720i | −1.45286 | + | 0.748875i | ||||
\(472\) | −468.295 | + | 392.947i | −0.992151 | + | 0.832514i | ||||
\(473\) | −38.6395 | − | 46.0488i | −0.0816903 | − | 0.0973547i | ||||
\(474\) | −213.225 | + | 331.734i | −0.449842 | + | 0.699860i | ||||
\(475\) | −284.651 | + | 103.604i | −0.599265 | + | 0.218114i | ||||
\(476\) | 618.201 | − | 356.918i | 1.29874 | − | 0.749828i | ||||
\(477\) | −124.182 | + | 9.85510i | −0.260340 | + | 0.0206606i | ||||
\(478\) | 142.826 | − | 247.382i | 0.298799 | − | 0.517535i | ||||
\(479\) | −167.090 | − | 29.4625i | −0.348831 | − | 0.0615084i | −0.00351250 | − | 0.999994i | \(-0.501118\pi\) |
−0.345319 | + | 0.938485i | \(0.612229\pi\) | |||||||
\(480\) | −455.821 | + | 58.1392i | −0.949626 | + | 0.121123i | ||||
\(481\) | −261.282 | − | 95.0988i | −0.543205 | − | 0.197711i | ||||
\(482\) | −96.1214 | + | 16.9488i | −0.199422 | + | 0.0351635i | ||||
\(483\) | 348.907 | + | 322.315i | 0.722375 | + | 0.667319i | ||||
\(484\) | −645.083 | − | 541.289i | −1.33282 | − | 1.11837i | ||||
\(485\) | − | 7.78596i | − | 0.0160535i | ||||||
\(486\) | −227.302 | − | 775.118i | −0.467700 | − | 1.59489i | ||||
\(487\) | 20.8058 | 0.0427223 | 0.0213612 | − | 0.999772i | \(-0.493200\pi\) | ||||
0.0213612 | + | 0.999772i | \(0.493200\pi\) | |||||||
\(488\) | −658.040 | + | 784.222i | −1.34844 | + | 1.60701i | ||||
\(489\) | 539.885 | − | 584.428i | 1.10406 | − | 1.19515i | ||||
\(490\) | 32.8660 | + | 186.392i | 0.0670734 | + | 0.380392i | ||||
\(491\) | 51.6877 | − | 142.011i | 0.105270 | − | 0.289228i | −0.875863 | − | 0.482560i | \(-0.839707\pi\) |
0.981133 | + | 0.193332i | \(0.0619294\pi\) | |||||||
\(492\) | −2.89103 | − | 22.6661i | −0.00587607 | − | 0.0460693i | ||||
\(493\) | 85.3838 | − | 484.236i | 0.173192 | − | 0.982222i | ||||
\(494\) | 208.720 | + | 120.504i | 0.422510 | + | 0.243936i | ||||
\(495\) | 6.09451 | + | 76.7958i | 0.0123122 | + | 0.155143i | ||||
\(496\) | 43.6626 | + | 75.6258i | 0.0880294 | + | 0.152471i | ||||
\(497\) | −100.189 | − | 275.268i | −0.201588 | − | 0.553859i | ||||
\(498\) | −354.038 | − | 227.561i | −0.710920 | − | 0.456951i | ||||
\(499\) | 626.300 | − | 525.528i | 1.25511 | − | 1.05316i | 0.258925 | − | 0.965897i | \(-0.416632\pi\) |
0.996185 | − | 0.0872648i | \(-0.0278126\pi\) | |||||||
\(500\) | 83.8739 | + | 99.9570i | 0.167748 | + | 0.199914i | ||||
\(501\) | −4.45004 | − | 8.63335i | −0.00888232 | − | 0.0172322i | ||||
\(502\) | −390.741 | + | 142.218i | −0.778369 | + | 0.283303i | ||||
\(503\) | −201.176 | + | 116.149i | −0.399953 | + | 0.230913i | −0.686464 | − | 0.727164i | \(-0.740838\pi\) |
0.286511 | + | 0.958077i | \(0.407505\pi\) | |||||||
\(504\) | 474.218 | + | 337.789i | 0.940909 | + | 0.670216i | ||||
\(505\) | −39.0487 | + | 67.6343i | −0.0773241 | + | 0.133929i | ||||
\(506\) | 101.081 | + | 17.8233i | 0.199765 | + | 0.0352239i | ||||
\(507\) | −255.220 | − | 335.404i | −0.503392 | − | 0.661545i | ||||
\(508\) | 8.53634 | + | 3.10697i | 0.0168038 | + | 0.00611609i | ||||
\(509\) | −318.833 | + | 56.2189i | −0.626392 | + | 0.110450i | −0.477828 | − | 0.878453i | \(-0.658576\pi\) |
−0.148563 | + | 0.988903i | \(0.547465\pi\) | |||||||
\(510\) | 1039.32 | − | 323.091i | 2.03789 | − | 0.633512i | ||||
\(511\) | 337.229 | + | 282.968i | 0.659939 | + | 0.553754i | ||||
\(512\) | 345.476i | 0.674758i | ||||||||
\(513\) | 340.382 | − | 136.186i | 0.663513 | − | 0.265470i | ||||
\(514\) | −776.303 | −1.51032 | ||||||||
\(515\) | −727.619 | + | 867.142i | −1.41285 | + | 1.68377i | ||||
\(516\) | −996.458 | − | 225.133i | −1.93112 | − | 0.436304i | ||||
\(517\) | −12.4483 | − | 70.5979i | −0.0240780 | − | 0.136553i | ||||
\(518\) | 377.792 | − | 1037.98i | 0.729329 | − | 2.00382i | ||||
\(519\) | 532.573 | + | 223.121i | 1.02615 | + | 0.429906i | ||||
\(520\) | −64.6526 | + | 366.663i | −0.124332 | + | 0.705122i | ||||
\(521\) | 480.156 | + | 277.218i | 0.921604 | + | 0.532088i | 0.884146 | − | 0.467210i | \(-0.154741\pi\) |
0.0374577 | + | 0.999298i | \(0.488074\pi\) | |||||||
\(522\) | 897.382 | − | 232.705i | 1.71912 | − | 0.445795i | ||||
\(523\) | −472.881 | − | 819.053i | −0.904170 | − | 1.56607i | −0.822028 | − | 0.569447i | \(-0.807157\pi\) |
−0.0821414 | − | 0.996621i | \(-0.526176\pi\) | |||||||
\(524\) | −221.580 | − | 608.787i | −0.422863 | − | 1.16181i | ||||
\(525\) | 20.3512 | − | 426.601i | 0.0387643 | − | 0.812573i | ||||
\(526\) | −314.428 | + | 263.836i | −0.597772 | + | 0.501590i | ||||
\(527\) | 161.956 | + | 193.012i | 0.307317 | + | 0.366246i | ||||
\(528\) | 20.5087 | + | 0.978378i | 0.0388422 | + | 0.00185299i | ||||
\(529\) | 81.3960 | − | 29.6257i | 0.153868 | − | 0.0560033i | ||||
\(530\) | 274.068 | − | 158.233i | 0.517109 | − | 0.298553i | ||||
\(531\) | −523.076 | − | 144.693i | −0.985077 | − | 0.272492i | ||||
\(532\) | −305.423 | + | 529.008i | −0.574103 | + | 0.994376i | ||||
\(533\) | 5.68135 | + | 1.00178i | 0.0106592 | + | 0.00187950i | ||||
\(534\) | 275.097 | − | 656.634i | 0.515163 | − | 1.22965i | ||||
\(535\) | 697.156 | + | 253.744i | 1.30310 | + | 0.474288i | ||||
\(536\) | 784.955 | − | 138.409i | 1.46447 | − | 0.258225i | ||||
\(537\) | 146.089 | − | 646.605i | 0.272047 | − | 1.20411i | ||||
\(538\) | 1297.53 | + | 1088.76i | 2.41177 | + | 2.02372i | ||||
\(539\) | 10.3019i | 0.0191129i | ||||||||
\(540\) | 872.731 | + | 975.883i | 1.61617 | + | 1.80719i | ||||
\(541\) | −390.158 | −0.721179 | −0.360590 | − | 0.932725i | \(-0.617425\pi\) | ||||
−0.360590 | + | 0.932725i | \(0.617425\pi\) | |||||||
\(542\) | 106.134 | − | 126.486i | 0.195820 | − | 0.233369i | ||||
\(543\) | −129.641 | − | 417.030i | −0.238749 | − | 0.768011i | ||||
\(544\) | 61.3605 | + | 347.993i | 0.112795 | + | 0.639693i | ||||
\(545\) | −414.768 | + | 1139.57i | −0.761042 | + | 2.09095i | ||||
\(546\) | −270.413 | + | 205.767i | −0.495262 | + | 0.376862i | ||||
\(547\) | −80.6120 | + | 457.174i | −0.147371 | + | 0.835784i | 0.818061 | + | 0.575131i | \(0.195049\pi\) |
−0.965433 | + | 0.260653i | \(0.916062\pi\) | |||||||
\(548\) | −360.611 | − | 208.199i | −0.658049 | − | 0.379925i | ||||
\(549\) | −904.727 | − | 86.5180i | −1.64796 | − | 0.157592i | ||||
\(550\) | −46.1436 | − | 79.9230i | −0.0838974 | − | 0.145315i | ||||
\(551\) | 143.910 | + | 395.388i | 0.261179 | + | 0.717583i | ||||
\(552\) | 670.730 | − | 345.726i | 1.21509 | − | 0.626315i | ||||
\(553\) | 193.310 | − | 162.206i | 0.349566 | − | 0.293320i | ||||
\(554\) | −243.809 | − | 290.561i | −0.440089 | − | 0.524478i | ||||
\(555\) | 580.980 | − | 903.884i | 1.04681 | − | 1.62862i | ||||
\(556\) | −334.507 | + | 121.751i | −0.601631 | + | 0.218976i | ||||
\(557\) | −203.531 | + | 117.509i | −0.365406 | + | 0.210967i | −0.671450 | − | 0.741050i | \(-0.734328\pi\) |
0.306043 | + | 0.952018i | \(0.400995\pi\) | |||||||
\(558\) | −204.231 | + | 428.901i | −0.366005 | + | 0.768640i | ||||
\(559\) | 128.961 | − | 223.367i | 0.230700 | − | 0.399584i | ||||
\(560\) | −237.718 | − | 41.9160i | −0.424496 | − | 0.0748500i | ||||
\(561\) | 58.7648 | − | 7.49536i | 0.104750 | − | 0.0133607i | ||||
\(562\) | −80.9210 | − | 29.4528i | −0.143988 | − | 0.0524072i | ||||
\(563\) | −82.3270 | + | 14.5165i | −0.146229 | + | 0.0257842i | −0.246284 | − | 0.969198i | \(-0.579209\pi\) |
0.100054 | + | 0.994982i | \(0.468098\pi\) | |||||||
\(564\) | −894.879 | − | 826.675i | −1.58667 | − | 1.46574i | ||||
\(565\) | −659.856 | − | 553.685i | −1.16789 | − | 0.979973i | ||||
\(566\) | 523.606i | 0.925099i | ||||||||
\(567\) | −8.34476 | + | 516.824i | −0.0147174 | + | 0.911506i | ||||
\(568\) | −465.359 | −0.819295 | ||||||||
\(569\) | 592.627 | − | 706.266i | 1.04152 | − | 1.24124i | 0.0717022 | − | 0.997426i | \(-0.477157\pi\) |
0.969822 | − | 0.243814i | \(-0.0783987\pi\) | |||||||
\(570\) | −631.980 | + | 684.121i | −1.10874 | + | 1.20021i | ||||
\(571\) | 69.2165 | + | 392.546i | 0.121220 | + | 0.687471i | 0.983482 | + | 0.181008i | \(0.0579361\pi\) |
−0.862262 | + | 0.506463i | \(0.830953\pi\) | |||||||
\(572\) | −16.0221 | + | 44.0204i | −0.0280107 | + | 0.0769588i | ||||
\(573\) | 29.6619 | + | 232.554i | 0.0517660 | + | 0.405853i | ||||
\(574\) | −3.97969 | + | 22.5699i | −0.00693325 | + | 0.0393204i | ||||
\(575\) | −479.365 | − | 276.762i | −0.833679 | − | 0.481325i | ||||
\(576\) | −711.898 | + | 489.960i | −1.23593 | + | 0.850625i | ||||
\(577\) | 8.33213 | + | 14.4317i | 0.0144404 | + | 0.0250116i | 0.873155 | − | 0.487442i | \(-0.162070\pi\) |
−0.858715 | + | 0.512454i | \(0.828737\pi\) | |||||||
\(578\) | 42.3117 | + | 116.250i | 0.0732036 | + | 0.201125i | ||||
\(579\) | 565.078 | + | 363.209i | 0.975955 | + | 0.627304i | ||||
\(580\) | −1151.03 | + | 965.832i | −1.98454 | + | 1.66523i | ||||
\(581\) | 173.112 | + | 206.307i | 0.297956 | + | 0.355090i | ||||
\(582\) | −5.17200 | − | 10.0340i | −0.00888659 | − | 0.0172405i | ||||
\(583\) | 16.1865 | − | 5.89139i | 0.0277641 | − | 0.0101053i | ||||
\(584\) | 605.648 | − | 349.671i | 1.03707 | − | 0.598751i | ||||
\(585\) | −300.690 | + | 137.270i | −0.514000 | + | 0.234649i | ||||
\(586\) | 697.955 | − | 1208.89i | 1.19105 | − | 2.06296i | ||||
\(587\) | 183.618 | + | 32.3769i | 0.312808 | + | 0.0551565i | 0.327848 | − | 0.944730i | \(-0.393677\pi\) |
−0.0150403 | + | 0.999887i | \(0.504788\pi\) | |||||||
\(588\) | 106.017 | + | 139.324i | 0.180300 | + | 0.236946i | ||||
\(589\) | −202.604 | − | 73.7419i | −0.343980 | − | 0.125198i | ||||
\(590\) | 1357.79 | − | 239.414i | 2.30133 | − | 0.405787i | ||||
\(591\) | −990.297 | + | 307.851i | −1.67563 | + | 0.520898i | ||||
\(592\) | −219.376 | − | 184.079i | −0.370568 | − | 0.310944i | ||||
\(593\) | − | 373.725i | − | 0.630228i | −0.949054 | − | 0.315114i | \(-0.897957\pi\) | ||
0.949054 | − | 0.315114i | \(-0.102043\pi\) | |||||||
\(594\) | 58.8675 | + | 94.9205i | 0.0991036 | + | 0.159799i | ||||
\(595\) | −696.466 | −1.17053 | ||||||||
\(596\) | −329.378 | + | 392.538i | −0.552648 | + | 0.658621i | ||||
\(597\) | −461.055 | − | 104.168i | −0.772287 | − | 0.174485i | ||||
\(598\) | 76.4739 | + | 433.705i | 0.127883 | + | 0.725259i | ||||
\(599\) | 5.06227 | − | 13.9085i | 0.00845120 | − | 0.0232195i | −0.935395 | − | 0.353604i | \(-0.884956\pi\) |
0.943846 | + | 0.330384i | \(0.107178\pi\) | |||||||
\(600\) | −625.776 | − | 262.169i | −1.04296 | − | 0.436948i | ||||
\(601\) | −33.7445 | + | 191.375i | −0.0561473 | + | 0.318427i | −0.999926 | − | 0.0121504i | \(-0.996132\pi\) |
0.943779 | + | 0.330577i | \(0.107243\pi\) | |||||||
\(602\) | 887.356 | + | 512.315i | 1.47401 | + | 0.851022i | ||||
\(603\) | 496.311 | + | 504.389i | 0.823069 | + | 0.836466i | ||||
\(604\) | −11.9609 | − | 20.7169i | −0.0198028 | − | 0.0342995i | ||||
\(605\) | 281.005 | + | 772.055i | 0.464471 | + | 1.27612i | ||||
\(606\) | −5.39556 | + | 113.101i | −0.00890356 | + | 0.186636i | ||||
\(607\) | 444.453 | − | 372.941i | 0.732213 | − | 0.614400i | −0.198521 | − | 0.980097i | \(-0.563614\pi\) |
0.930734 | + | 0.365697i | \(0.119169\pi\) | |||||||
\(608\) | −194.366 | − | 231.636i | −0.319680 | − | 0.380980i | ||||
\(609\) | −592.561 | − | 28.2685i | −0.973007 | − | 0.0464179i | ||||
\(610\) | 2169.63 | − | 789.679i | 3.55676 | − | 1.29456i | ||||
\(611\) | 266.377 | − | 153.793i | 0.435968 | − | 0.251706i | ||||
\(612\) | 717.612 | − | 706.119i | 1.17257 | − | 1.15379i | ||||
\(613\) | 80.1803 | − | 138.876i | 0.130800 | − | 0.226552i | −0.793185 | − | 0.608980i | \(-0.791579\pi\) |
0.923985 | + | 0.382428i | \(0.124912\pi\) | |||||||
\(614\) | −661.510 | − | 116.642i | −1.07738 | − | 0.189971i | ||||
\(615\) | −8.61449 | + | 20.5621i | −0.0140073 | + | 0.0334343i | ||||
\(616\) | −75.6518 | − | 27.5350i | −0.122811 | − | 0.0446997i | ||||
\(617\) | 409.534 | − | 72.2118i | 0.663750 | − | 0.117037i | 0.168384 | − | 0.985721i | \(-0.446145\pi\) |
0.495366 | + | 0.868685i | \(0.335034\pi\) | |||||||
\(618\) | −361.685 | + | 1600.85i | −0.585250 | + | 2.59037i | ||||
\(619\) | −502.301 | − | 421.481i | −0.811472 | − | 0.680906i | 0.139486 | − | 0.990224i | \(-0.455455\pi\) |
−0.950959 | + | 0.309318i | \(0.899899\pi\) | |||||||
\(620\) | − | 769.943i | − | 1.24184i | ||||||
\(621\) | 590.433 | + | 316.505i | 0.950778 | + | 0.509670i | ||||
\(622\) | −881.659 | −1.41746 | ||||||||
\(623\) | −292.835 | + | 348.988i | −0.470041 | + | 0.560173i | ||||
\(624\) | 26.1516 | + | 84.1249i | 0.0419097 | + | 0.134816i | ||||
\(625\) | −118.955 | − | 674.627i | −0.190328 | − | 1.07940i | ||||
\(626\) | −313.494 | + | 861.318i | −0.500789 | + | 1.37591i | ||||
\(627\) | −40.3423 | + | 30.6978i | −0.0643417 | + | 0.0489598i | ||||
\(628\) | 314.144 | − | 1781.60i | 0.500229 | − | 2.83694i | ||||
\(629\) | −715.577 | − | 413.139i | −1.13764 | − | 0.656818i | ||||
\(630\) | −545.323 | − | 1194.53i | −0.865592 | − | 1.89608i | ||||
\(631\) | 321.500 | + | 556.855i | 0.509509 | + | 0.882496i | 0.999939 | + | 0.0110155i | \(0.00350642\pi\) |
−0.490430 | + | 0.871481i | \(0.663160\pi\) | |||||||
\(632\) | −137.110 | − | 376.708i | −0.216947 | − | 0.596057i | ||||
\(633\) | 992.850 | − | 511.762i | 1.56848 | − | 0.808471i | ||||
\(634\) | 89.1398 | − | 74.7972i | 0.140599 | − | 0.117977i | ||||
\(635\) | −5.69710 | − | 6.78954i | −0.00897182 | − | 0.0106922i | ||||
\(636\) | 158.281 | − | 246.252i | 0.248869 | − | 0.387189i | ||||
\(637\) | −41.5361 | + | 15.1179i | −0.0652058 | + | 0.0237330i | ||||
\(638\) | −111.016 | + | 64.0948i | −0.174006 | + | 0.100462i | ||||
\(639\) | −234.228 | − | 340.327i | −0.366554 | − | 0.532593i | ||||
\(640\) | 791.384 | − | 1370.72i | 1.23654 | − | 2.14175i | ||||
\(641\) | −115.857 | − | 20.4287i | −0.180744 | − | 0.0318700i | 0.0825436 | − | 0.996587i | \(-0.473696\pi\) |
−0.263287 | + | 0.964717i | \(0.584807\pi\) | |||||||
\(642\) | 1067.00 | − | 136.094i | 1.66199 | − | 0.211985i | ||||
\(643\) | −407.907 | − | 148.466i | −0.634382 | − | 0.230896i | 0.00475561 | − | 0.999989i | \(-0.498486\pi\) |
−0.639137 | + | 0.769093i | \(0.720708\pi\) | |||||||
\(644\) | −1099.24 | + | 193.826i | −1.70690 | + | 0.300972i | ||||
\(645\) | 732.131 | + | 676.331i | 1.13509 | + | 1.04858i | ||||
\(646\) | 548.643 | + | 460.366i | 0.849292 | + | 0.712641i | ||||
\(647\) | − | 202.797i | − | 0.313443i | −0.987643 | − | 0.156721i | \(-0.949908\pi\) | ||
0.987643 | − | 0.156721i | \(-0.0500924\pi\) | |||||||
\(648\) | 766.986 | + | 293.267i | 1.18362 | + | 0.452573i | ||||
\(649\) | 75.0446 | 0.115631 | ||||||||
\(650\) | 254.527 | − | 303.333i | 0.391580 | − | 0.466667i | ||||
\(651\) | 206.272 | − | 223.290i | 0.316854 | − | 0.342995i | ||||
\(652\) | 324.663 | + | 1841.25i | 0.497949 | + | 2.82401i | ||||
\(653\) | −306.142 | + | 841.119i | −0.468824 | + | 1.28808i | 0.449862 | + | 0.893098i | \(0.351473\pi\) |
−0.918687 | + | 0.394987i | \(0.870749\pi\) | |||||||
\(654\) | 222.459 | + | 1744.11i | 0.340151 | + | 2.66684i | ||||
\(655\) | −109.762 | + | 622.490i | −0.167575 | + | 0.950366i | ||||
\(656\) | 5.14569 | + | 2.97087i | 0.00784404 | + | 0.00452876i | ||||
\(657\) | 560.561 | + | 266.924i | 0.853212 | + | 0.406276i | ||||
\(658\) | 610.961 | + | 1058.22i | 0.928513 | + | 1.60823i | ||||
\(659\) | −287.917 | − | 791.045i | −0.436899 | − | 1.20037i | −0.941498 | − | 0.337017i | \(-0.890582\pi\) |
0.504599 | − | 0.863354i | \(-0.331640\pi\) | |||||||
\(660\) | −152.285 | − | 97.8827i | −0.230735 | − | 0.148307i | ||||
\(661\) | 173.104 | − | 145.252i | 0.261882 | − | 0.219745i | −0.502386 | − | 0.864643i | \(-0.667545\pi\) |
0.764269 | + | 0.644898i | \(0.223100\pi\) | |||||||
\(662\) | −450.552 | − | 536.947i | −0.680593 | − | 0.811099i | ||||
\(663\) | 116.458 | + | 225.935i | 0.175652 | + | 0.340776i | ||||
\(664\) | 402.036 | − | 146.329i | 0.605476 | − | 0.220375i | ||||
\(665\) | 516.135 | − | 297.991i | 0.776143 | − | 0.448106i | ||||
\(666\) | 148.300 | − | 1550.79i | 0.222673 | − | 2.32851i | ||||
\(667\) | −384.430 | + | 665.853i | −0.576357 | + | 0.998280i | ||||
\(668\) | 22.4773 | + | 3.96335i | 0.0336486 | + | 0.00593316i | ||||
\(669\) | 169.678 | + | 222.987i | 0.253630 | + | 0.333314i | ||||
\(670\) | −1689.25 | − | 614.836i | −2.52126 | − | 0.917665i | ||||
\(671\) | 123.763 | − | 21.8227i | 0.184445 | − | 0.0325227i | ||||
\(672\) | 407.107 | − | 126.556i | 0.605815 | − | 0.188328i | ||||
\(673\) | −84.6901 | − | 71.0634i | −0.125840 | − | 0.105592i | 0.577696 | − | 0.816252i | \(-0.303952\pi\) |
−0.703536 | + | 0.710660i | \(0.748396\pi\) | |||||||
\(674\) | − | 512.805i | − | 0.760838i | ||||||
\(675\) | −123.241 | − | 589.600i | −0.182579 | − | 0.873482i | ||||
\(676\) | 990.401 | 1.46509 | ||||||||
\(677\) | 1.83780 | − | 2.19020i | 0.00271462 | − | 0.00323516i | −0.764685 | − | 0.644404i | \(-0.777106\pi\) |
0.767400 | + | 0.641169i | \(0.221550\pi\) | |||||||
\(678\) | −1218.17 | − | 275.226i | −1.79672 | − | 0.405938i | ||||
\(679\) | 1.25437 | + | 7.11387i | 0.00184737 | + | 0.0104770i | ||||
\(680\) | −378.417 | + | 1039.69i | −0.556495 | + | 1.52896i | ||||
\(681\) | −1010.44 | − | 423.324i | −1.48376 | − | 0.621621i | ||||
\(682\) | 11.4064 | − | 64.6887i | 0.0167249 | − | 0.0948515i | ||||
\(683\) | −843.279 | − | 486.868i | −1.23467 | − | 0.712837i | −0.266670 | − | 0.963788i | \(-0.585923\pi\) |
−0.968000 | + | 0.250951i | \(0.919257\pi\) | |||||||
\(684\) | −229.685 | + | 830.327i | −0.335797 | + | 1.21393i | ||||
\(685\) | 203.132 | + | 351.835i | 0.296543 | + | 0.513628i | ||||
\(686\) | −415.556 | − | 1141.73i | −0.605767 | − | 1.66433i | ||||
\(687\) | 15.2290 | − | 319.228i | 0.0221673 | − | 0.464669i | ||||
\(688\) | 203.496 | − | 170.753i | 0.295779 | − | 0.248188i | ||||
\(689\) | 47.5071 | + | 56.6168i | 0.0689508 | + | 0.0821724i | ||||
\(690\) | −1699.93 | − | 81.0961i | −2.46367 | − | 0.117531i | ||||
\(691\) | −614.590 | + | 223.693i | −0.889421 | + | 0.323723i | −0.746006 | − | 0.665940i | \(-0.768031\pi\) |
−0.143416 | + | 0.989663i | \(0.545809\pi\) | |||||||
\(692\) | −1175.10 | + | 678.443i | −1.69812 | + | 0.980409i | ||||
\(693\) | −17.9407 | − | 69.1848i | −0.0258885 | − | 0.0998338i | ||||
\(694\) | −487.460 | + | 844.305i | −0.702391 | + | 1.21658i | ||||
\(695\) | 342.036 | + | 60.3101i | 0.492138 | + | 0.0867772i | ||||
\(696\) | −364.161 | + | 869.222i | −0.523220 | + | 1.24888i | ||||
\(697\) | 16.1097 | + | 5.86347i | 0.0231130 | + | 0.00841244i | ||||
\(698\) | −1339.00 | + | 236.101i | −1.91833 | + | 0.338254i | ||||
\(699\) | 157.290 | − | 696.178i | 0.225021 | − | 0.995963i | ||||
\(700\) | 768.810 | + | 645.108i | 1.09830 | + | 0.921583i | ||||
\(701\) | 41.7083i | 0.0594983i | 0.999557 | + | 0.0297492i | \(0.00947085\pi\) | ||||
−0.999557 | + | 0.0297492i | \(0.990529\pi\) | |||||||
\(702\) | −296.323 | + | 376.644i | −0.422113 | + | 0.536530i | ||||
\(703\) | 707.064 | 1.00578 | ||||||||
\(704\) | 76.8123 | − | 91.5413i | 0.109108 | − | 0.130030i | ||||
\(705\) | 352.850 | + | 1135.05i | 0.500497 | + | 1.61000i | ||||
\(706\) | −288.649 | − | 1637.01i | −0.408851 | − | 2.31871i | ||||
\(707\) | 24.7817 | − | 68.0870i | 0.0350518 | − | 0.0963042i | ||||
\(708\) | 1014.92 | − | 772.286i | 1.43350 | − | 1.09080i | ||||
\(709\) | −86.0416 | + | 487.966i | −0.121356 | + | 0.688246i | 0.862049 | + | 0.506825i | \(0.169181\pi\) |
−0.983406 | + | 0.181421i | \(0.941930\pi\) | |||||||
\(710\) | 908.936 | + | 524.774i | 1.28019 | + | 0.739119i | ||||
\(711\) | 206.483 | − | 289.879i | 0.290412 | − | 0.407706i | ||||
\(712\) | 361.863 | + | 626.766i | 0.508235 | + | 0.880289i | ||||
\(713\) | −134.748 | − | 370.218i | −0.188988 | − | 0.519240i | ||||
\(714\) | −897.556 | + | 462.643i | −1.25708 | + | 0.647960i | ||||
\(715\) | 35.0125 | − | 29.3790i | 0.0489685 | − | 0.0410895i | ||||
\(716\) | 1001.31 | + | 1193.31i | 1.39847 | + | 1.66663i | ||||
\(717\) | −139.392 | + | 216.865i | −0.194410 | + | 0.302462i | ||||
\(718\) | −780.147 | + | 283.950i | −1.08656 | + | 0.395474i | ||||
\(719\) | 124.160 | − | 71.6839i | 0.172684 | − | 0.0996994i | −0.411167 | − | 0.911560i | \(-0.634879\pi\) |
0.583851 | + | 0.811861i | \(0.301545\pi\) | |||||||
\(720\) | −339.371 | + | 26.9325i | −0.471349 | + | 0.0374062i | ||||
\(721\) | 525.108 | − | 909.514i | 0.728305 | − | 1.26146i | ||||
\(722\) | 578.213 | + | 101.955i | 0.800849 | + | 0.141211i | ||||
\(723\) | 87.3796 | − | 11.1451i | 0.120857 | − | 0.0154151i | ||||
\(724\) | 964.350 | + | 350.995i | 1.33197 | + | 0.484799i | ||||
\(725\) | 680.805 | − | 120.044i | 0.939041 | − | 0.165578i | ||||
\(726\) | 874.995 | + | 808.306i | 1.20523 | + | 1.11337i | ||||
\(727\) | −252.723 | − | 212.060i | −0.347624 | − | 0.291692i | 0.452211 | − | 0.891911i | \(-0.350635\pi\) |
−0.799835 | + | 0.600220i | \(0.795080\pi\) | |||||||
\(728\) | − | 345.429i | − | 0.474490i | ||||||
\(729\) | 171.573 | + | 708.522i | 0.235353 | + | 0.971910i | ||||
\(730\) | −1577.26 | −2.16063 | ||||||||
\(731\) | 492.673 | − | 587.145i | 0.673972 | − | 0.803208i | ||||
\(732\) | 1449.21 | − | 1568.78i | 1.97980 | − | 2.14314i | ||||
\(733\) | 32.0098 | + | 181.537i | 0.0436696 | + | 0.247663i | 0.998826 | − | 0.0484385i | \(-0.0154245\pi\) |
−0.955157 | + | 0.296101i | \(0.904313\pi\) | |||||||
\(734\) | 363.961 | − | 999.975i | 0.495860 | − | 1.36236i | ||||
\(735\) | −21.6119 | − | 169.441i | −0.0294040 | − | 0.230532i | ||||
\(736\) | 95.9471 | − | 544.143i | 0.130363 | − | 0.739325i | ||||
\(737\) | −84.7378 | − | 48.9234i | −0.114977 | − | 0.0663818i | ||||
\(738\) | 2.55709 | + | 32.2213i | 0.00346489 | + | 0.0436604i | ||||
\(739\) | 225.818 | + | 391.128i | 0.305572 | + | 0.529267i | 0.977389 | − | 0.211451i | \(-0.0678189\pi\) |
−0.671816 | + | 0.740718i | \(0.734486\pi\) | |||||||
\(740\) | 863.588 | + | 2372.69i | 1.16701 | + | 3.20633i | ||||
\(741\) | −182.973 | − | 117.607i | −0.246927 | − | 0.158715i | ||||
\(742\) | −224.918 | + | 188.728i | −0.303124 | + | 0.254351i | ||||
\(743\) | 384.245 | + | 457.925i | 0.517153 | + | 0.616319i | 0.959905 | − | 0.280325i | \(-0.0904422\pi\) |
−0.442752 | + | 0.896644i | \(0.645998\pi\) | |||||||
\(744\) | −221.254 | − | 429.247i | −0.297385 | − | 0.576944i | ||||
\(745\) | 469.802 | − | 170.994i | 0.630606 | − | 0.229522i | ||||
\(746\) | −569.151 | + | 328.600i | −0.762937 | + | 0.440482i | ||||
\(747\) | 309.369 | + | 220.366i | 0.414149 | + | 0.295001i | ||||
\(748\) | −69.6051 | + | 120.560i | −0.0930549 | + | 0.161176i | ||||
\(749\) | −677.857 | − | 119.524i | −0.905016 | − | 0.159579i | ||||
\(750\) | −111.773 | − | 146.890i | −0.149031 | − | 0.195853i | ||||
\(751\) | 585.524 | + | 213.113i | 0.779659 | + | 0.283773i | 0.701030 | − | 0.713131i | \(-0.252724\pi\) |
0.0786285 | + | 0.996904i | \(0.474946\pi\) | |||||||
\(752\) | 311.982 | − | 55.0108i | 0.414870 | − | 0.0731527i | ||||
\(753\) | 358.358 | − | 111.402i | 0.475908 | − | 0.147944i | ||||
\(754\) | −421.339 | − | 353.546i | −0.558805 | − | 0.468893i | ||||
\(755\) | 23.3397i | 0.0309135i | ||||||||
\(756\) | −954.618 | − | 751.042i | −1.26272 | − | 0.993442i | ||||
\(757\) | −1029.21 | −1.35960 | −0.679798 | − | 0.733399i | \(-0.737933\pi\) | ||||
−0.679798 | + | 0.733399i | \(0.737933\pi\) | |||||||
\(758\) | 779.692 | − | 929.200i | 1.02862 | − | 1.22586i | ||||
\(759\) | −90.3552 | − | 20.4142i | −0.119045 | − | 0.0268962i | ||||
\(760\) | −164.408 | − | 932.401i | −0.216326 | − | 1.22684i | ||||
\(761\) | 213.042 | − | 585.329i | 0.279951 | − | 0.769158i | −0.717417 | − | 0.696644i | \(-0.754676\pi\) |
0.997367 | − | 0.0725138i | \(-0.0231021\pi\) | |||||||
\(762\) | −11.8521 | − | 4.96545i | −0.0155540 | − | 0.00651634i | ||||
\(763\) | 195.374 | − | 1108.02i | 0.256060 | − | 1.45219i | ||||
\(764\) | −477.099 | − | 275.453i | −0.624475 | − | 0.360541i | ||||
\(765\) | −950.815 | + | 246.561i | −1.24290 | + | 0.322302i | ||||
\(766\) | −1075.77 | − | 1863.30i | −1.40441 | − | 2.43250i | ||||
\(767\) | 110.128 | + | 302.573i | 0.143582 | + | 0.394489i | ||||
\(768\) | 54.4419 | − | 1141.21i | 0.0708880 | − | 1.48595i | ||||
\(769\) | −803.159 | + | 673.931i | −1.04442 | + | 0.876373i | −0.992496 | − | 0.122278i | \(-0.960980\pi\) |
−0.0519247 | + | 0.998651i | \(0.516536\pi\) | |||||||
\(770\) | 116.712 | + | 139.092i | 0.151574 | + | 0.180639i | ||||
\(771\) | 699.815 | + | 33.3851i | 0.907672 | + | 0.0433010i | ||||
\(772\) | −1483.32 | + | 539.886i | −1.92141 | + | 0.699334i | ||||
\(773\) | 719.632 | − | 415.480i | 0.930960 | − | 0.537490i | 0.0438447 | − | 0.999038i | \(-0.486039\pi\) |
0.887115 | + | 0.461549i | \(0.152706\pi\) | |||||||
\(774\) | 1392.79 | + | 385.273i | 1.79947 | + | 0.497769i | ||||
\(775\) | −177.119 | + | 306.779i | −0.228541 | + | 0.395844i | ||||
\(776\) | 11.3012 | + | 1.99271i | 0.0145634 | + | 0.00256792i | ||||
\(777\) | −385.208 | + | 919.460i | −0.495763 | + | 1.18335i | ||||
\(778\) | 176.737 | + | 64.3269i | 0.227168 | + | 0.0826824i | ||||
\(779\) | −14.4473 | + | 2.54745i | −0.0185460 | + | 0.00327016i | ||||
\(780\) | 171.176 | − | 757.642i | 0.219457 | − | 0.971336i | ||||
\(781\) | 43.7619 | + | 36.7206i | 0.0560331 | + | 0.0470174i | ||||
\(782\) | 1308.72i | 1.67355i | ||||||||
\(783\) | −818.972 | + | 171.185i | −1.04594 | + | 0.218627i | ||||
\(784\) | −45.5253 | −0.0580680 | ||||||||
\(785\) | −1134.56 | + | 1352.11i | −1.44530 | + | 1.72244i | ||||
\(786\) | 272.050 | + | 875.132i | 0.346119 | + | 1.11340i | ||||
\(787\) | 32.2419 | + | 182.853i | 0.0409682 | + | 0.232342i | 0.998416 | − | 0.0562647i | \(-0.0179191\pi\) |
−0.957448 | + | 0.288607i | \(0.906808\pi\) | |||||||
\(788\) | 833.487 | − | 2289.99i | 1.05772 | − | 2.90607i | ||||
\(789\) | 294.794 | − | 224.319i | 0.373630 | − | 0.284308i | ||||
\(790\) | −157.001 | + | 890.398i | −0.198736 | + | 1.12709i | ||||
\(791\) | 692.099 | + | 399.584i | 0.874967 | + | 0.505162i | ||||
\(792\) | −113.028 | − | 10.8087i | −0.142712 | − | 0.0136474i | ||||
\(793\) | 269.608 | + | 466.975i | 0.339985 | + | 0.588872i | ||||
\(794\) | 744.648 | + | 2045.90i | 0.937844 | + | 2.57671i | ||||
\(795\) | −253.869 | + | 130.856i | −0.319332 | + | 0.164599i | ||||
\(796\) | 850.878 | − | 713.972i | 1.06894 | − | 0.896950i | ||||
\(797\) | −949.323 | − | 1131.36i | −1.19112 | − | 1.41952i | −0.883768 | − | 0.467926i | \(-0.845001\pi\) |
−0.307352 | − | 0.951596i | \(-0.599443\pi\) | |||||||
\(798\) | 467.211 | − | 726.884i | 0.585478 | − | 0.910882i | ||||
\(799\) | 858.922 | − | 312.622i | 1.07500 | − | 0.391267i | ||||
\(800\) | −430.245 | + | 248.402i | −0.537806 | + | 0.310502i | ||||
\(801\) | −276.231 | + | 580.107i | −0.344858 | + | 0.724228i | ||||
\(802\) | 210.559 | − | 364.699i | 0.262542 | − | 0.454737i | ||||
\(803\) | −84.5462 | − | 14.9078i | −0.105288 | − | 0.0185651i | ||||
\(804\) | −1649.48 | + | 210.389i | −2.05160 | + | 0.261678i | ||||
\(805\) | 1023.36 | + | 372.472i | 1.27125 | + | 0.462698i | ||||
\(806\) | 277.558 | − | 48.9410i | 0.344365 | − | 0.0607208i | ||||
\(807\) | −1122.87 | − | 1037.29i | −1.39141 | − | 1.28536i | ||||
\(808\) | −88.1762 | − | 73.9886i | −0.109129 | − | 0.0915701i | ||||
\(809\) | 1487.78i | 1.83903i | 0.393055 | + | 0.919515i | \(0.371418\pi\) | ||||
−0.393055 | + | 0.919515i | \(0.628582\pi\) | |||||||
\(810\) | −1167.36 | − | 1437.72i | −1.44118 | − | 1.77496i | ||||
\(811\) | 391.709 | 0.482995 | 0.241497 | − | 0.970401i | \(-0.422361\pi\) | ||||
0.241497 | + | 0.970401i | \(0.422361\pi\) | |||||||
\(812\) | 896.074 | − | 1067.90i | 1.10354 | − | 1.31515i | ||||
\(813\) | −101.117 | + | 109.459i | −0.124375 | + | 0.134636i | ||||
\(814\) | 37.4062 | + | 212.141i | 0.0459536 | + | 0.260616i | ||||
\(815\) | 623.900 | − | 1714.15i | 0.765521 | − | 2.10325i | ||||
\(816\) | 33.1230 | + | 259.690i | 0.0405919 | + | 0.318247i | ||||
\(817\) | −113.892 | + | 645.916i | −0.139403 | + | 0.790595i | ||||
\(818\) | 1567.96 | + | 905.265i | 1.91683 | + | 1.10668i | ||||
\(819\) | 252.619 | − | 173.864i | 0.308448 | − | 0.212288i | ||||
\(820\) | −26.1940 | − | 45.3693i | −0.0319439 | − | 0.0553285i | ||||
\(821\) | 1.02976 | + | 2.82925i | 0.00125428 | + | 0.00344610i | 0.940318 | − | 0.340297i | \(-0.110527\pi\) |
−0.939064 | + | 0.343743i | \(0.888305\pi\) | |||||||
\(822\) | 495.497 | + | 318.485i | 0.602795 | + | 0.387452i | ||||
\(823\) | −1037.37 | + | 870.460i | −1.26048 | + | 1.05767i | −0.264847 | + | 0.964290i | \(0.585322\pi\) |
−0.995631 | + | 0.0933764i | \(0.970234\pi\) | |||||||
\(824\) | −1072.42 | − | 1278.06i | −1.30148 | − | 1.55104i | ||||
\(825\) | 38.1600 | + | 74.0328i | 0.0462546 | + | 0.0897367i | ||||
\(826\) | −1202.01 | + | 437.496i | −1.45522 | + | 0.529656i | ||||
\(827\) | 1186.03 | − | 684.755i | 1.43414 | − | 0.827999i | 0.436703 | − | 0.899606i | \(-0.356146\pi\) |
0.997433 | + | 0.0716069i | \(0.0228127\pi\) | |||||||
\(828\) | −1432.07 | + | 653.762i | −1.72955 | + | 0.789567i | ||||
\(829\) | −39.8034 | + | 68.9416i | −0.0480138 | + | 0.0831623i | −0.889033 | − | 0.457842i | \(-0.848622\pi\) |
0.841020 | + | 0.541005i | \(0.181956\pi\) | |||||||
\(830\) | −950.265 | − | 167.557i | −1.14490 | − | 0.201876i | ||||
\(831\) | 207.292 | + | 272.417i | 0.249449 | + | 0.327819i | ||||
\(832\) | 481.808 | + | 175.364i | 0.579096 | + | 0.210774i | ||||
\(833\) | −129.358 | + | 22.8094i | −0.155292 | + | 0.0273822i | ||||
\(834\) | 480.854 | − | 149.482i | 0.576563 | − | 0.179234i | ||||
\(835\) | −17.0587 | − | 14.3140i | −0.0204296 | − | 0.0171425i | ||||
\(836\) | − | 119.125i | − | 0.142494i | ||||||
\(837\) | 202.554 | − | 377.859i | 0.241999 | − | 0.451445i | ||||
\(838\) | 2220.92 | 2.65026 | ||||||||
\(839\) | 646.328 | − | 770.264i | 0.770355 | − | 0.918074i | −0.228100 | − | 0.973638i | \(-0.573251\pi\) |
0.998455 | + | 0.0555640i | \(0.0176957\pi\) | |||||||
\(840\) | 1302.06 | + | 294.177i | 1.55007 | + | 0.350211i | ||||
\(841\) | −20.7070 | − | 117.435i | −0.0246219 | − | 0.139638i | ||||
\(842\) | −258.568 | + | 710.409i | −0.307088 | + | 0.843716i | ||||
\(843\) | 71.6814 | + | 30.0309i | 0.0850313 | + | 0.0356239i | ||||
\(844\) | −455.792 | + | 2584.92i | −0.540037 | + | 3.06270i | ||||
\(845\) | −836.841 | − | 483.150i | −0.990344 | − | 0.571775i | ||||
\(846\) | 1208.71 | + | 1228.39i | 1.42874 | + | 1.45199i | ||||
\(847\) | −381.132 | − | 660.139i | −0.449978 | − | 0.779385i | ||||
\(848\) | 26.0349 | + | 71.5302i | 0.0307015 | + | 0.0843517i | ||||
\(849\) | 22.5178 | − | 472.016i | 0.0265227 | − | 0.555967i | ||||
\(850\) | 901.411 | − | 756.374i | 1.06048 | − | 0.889851i | ||||
\(851\) | 830.493 | + | 989.743i | 0.975902 | + | 1.16304i | ||||
\(852\) | 969.737 | + | 46.2619i | 1.13819 | + | 0.0542980i | ||||
\(853\) | −331.253 | + | 120.566i | −0.388339 | + | 0.141344i | −0.528808 | − | 0.848741i | \(-0.677361\pi\) |
0.140470 | + | 0.990085i | \(0.455139\pi\) | |||||||
\(854\) | −1855.12 | + | 1071.05i | −2.17227 | + | 1.25416i | ||||
\(855\) | 599.134 | − | 589.538i | 0.700741 | − | 0.689518i | ||||
\(856\) | −546.733 | + | 946.969i | −0.638707 | + | 1.10627i | ||||
\(857\) | −1186.99 | − | 209.299i | −1.38506 | − | 0.244223i | −0.569068 | − | 0.822290i | \(-0.692696\pi\) |
−0.815989 | + | 0.578067i | \(0.803807\pi\) | |||||||
\(858\) | 25.6060 | − | 61.1194i | 0.0298438 | − | 0.0712347i | ||||
\(859\) | −594.390 | − | 216.340i | −0.691956 | − | 0.251851i | −0.0279836 | − | 0.999608i | \(-0.508909\pi\) |
−0.663973 | + | 0.747757i | \(0.731131\pi\) | |||||||
\(860\) | −2306.60 | + | 406.716i | −2.68209 | + | 0.472925i | ||||
\(861\) | 4.55820 | − | 20.1750i | 0.00529408 | − | 0.0234321i | ||||
\(862\) | −1093.96 | − | 917.941i | −1.26909 | − | 1.06490i | ||||
\(863\) | 1076.50i | 1.24739i | 0.781668 | + | 0.623695i | \(0.214369\pi\) | ||||
−0.781668 | + | 0.623695i | \(0.785631\pi\) | |||||||
\(864\) | 510.980 | − | 316.898i | 0.591412 | − | 0.366780i | ||||
\(865\) | 1323.87 | 1.53048 | ||||||||
\(866\) | −25.6375 | + | 30.5536i | −0.0296045 | + | 0.0352813i | ||||
\(867\) | −33.1434 | − | 106.616i | −0.0382277 | − | 0.122971i | ||||
\(868\) | 124.043 | + | 703.481i | 0.142906 | + | 0.810462i | ||||
\(869\) | −16.8315 | + | 46.2443i | −0.0193689 | + | 0.0532155i | ||||
\(870\) | 1691.48 | − | 1287.10i | 1.94423 | − | 1.47943i | ||||
\(871\) | 72.9024 | − | 413.450i | 0.0836996 | − | 0.474684i | ||||
\(872\) | −1547.91 | − | 893.685i | −1.77512 | − | 1.02487i | ||||
\(873\) | 4.23090 | + | 9.26779i | 0.00484639 | + | 0.0106160i | ||||
\(874\) | −559.949 | − | 969.860i | −0.640674 | − | 1.10968i | ||||
\(875\) | 40.3975 | + | 110.991i | 0.0461686 | + | 0.126847i | ||||
\(876\) | −1296.84 | + | 668.452i | −1.48041 | + | 0.763073i | ||||
\(877\) | 981.482 | − | 823.562i | 1.11914 | − | 0.939067i | 0.120576 | − | 0.992704i | \(-0.461526\pi\) |
0.998560 | + | 0.0536374i | \(0.0170815\pi\) | |||||||
\(878\) | 161.038 | + | 191.917i | 0.183414 | + | 0.218584i | ||||
\(879\) | −681.175 | + | 1059.77i | −0.774943 | + | 1.20565i | ||||
\(880\) | 44.2352 | − | 16.1003i | 0.0502672 | − | 0.0182958i | ||||
\(881\) | −787.917 | + | 454.904i | −0.894344 | + | 0.516350i | −0.875361 | − | 0.483470i | \(-0.839376\pi\) |
−0.0189831 | + | 0.999820i | \(0.506043\pi\) | |||||||
\(882\) | −140.407 | − | 204.007i | −0.159191 | − | 0.231300i | ||||
\(883\) | −817.068 | + | 1415.20i | −0.925332 | + | 1.60272i | −0.134305 | + | 0.990940i | \(0.542880\pi\) |
−0.791027 | + | 0.611782i | \(0.790453\pi\) | |||||||
\(884\) | −588.230 | − | 103.721i | −0.665419 | − | 0.117331i | ||||
\(885\) | −1234.30 | + | 157.433i | −1.39469 | + | 0.177891i | ||||
\(886\) | 774.613 | + | 281.936i | 0.874281 | + | 0.318212i | ||||
\(887\) | −585.651 | + | 103.266i | −0.660260 | + | 0.116422i | −0.493731 | − | 0.869615i | \(-0.664367\pi\) |
−0.166529 | + | 0.986037i | \(0.553256\pi\) | |||||||
\(888\) | 1163.28 | + | 1074.62i | 1.31000 | + | 1.21016i | ||||
\(889\) | 6.29916 | + | 5.28563i | 0.00708567 | + | 0.00594559i | ||||
\(890\) | − | 1632.26i | − | 1.83400i | ||||||
\(891\) | −48.9853 | − | 88.0998i | −0.0549779 | − | 0.0988775i | ||||
\(892\) | −658.450 | −0.738173 | ||||||||
\(893\) | −502.769 | + | 599.177i | −0.563011 | + | 0.670971i | ||||
\(894\) | 491.861 | − | 532.441i | 0.550180 | − | 0.595572i | ||||
\(895\) | −263.919 | − | 1496.76i | −0.294881 | − | 1.67236i | ||||
\(896\) | −502.240 | + | 1379.89i | −0.560536 | + | 1.54006i | ||||
\(897\) | −50.2875 | − | 394.262i | −0.0560618 | − | 0.439534i | ||||
\(898\) | 118.649 | − | 672.891i | 0.132126 | − | 0.749321i | ||||
\(899\) | 426.126 | + | 246.024i | 0.474000 | + | 0.273664i | ||||
\(900\) | 1277.96 | + | 608.529i | 1.41995 | + | 0.676143i | ||||
\(901\) | 109.816 | + | 190.206i | 0.121882 | + | 0.211106i | ||||
\(902\) | −1.52863 | − | 4.19988i | −0.00169471 | − | 0.00465618i | ||||
\(903\) | −777.895 | − | 499.999i | −0.861456 | − | 0.553709i | ||||
\(904\) | 972.546 | − | 816.063i | 1.07583 | − | 0.902725i | ||||
\(905\) | −643.602 | − | 767.014i | −0.711162 | − | 0.847530i | ||||
\(906\) | 15.5039 | + | 30.0785i | 0.0171125 | + | 0.0331992i | ||||
\(907\) | −276.952 | + | 100.802i | −0.305349 | + | 0.111138i | −0.490150 | − | 0.871638i | \(-0.663058\pi\) |
0.184801 | + | 0.982776i | \(0.440836\pi\) | |||||||
\(908\) | 2229.49 | − | 1287.20i | 2.45538 | − | 1.41762i | ||||
\(909\) | 9.72789 | − | 101.726i | 0.0107018 | − | 0.111909i | ||||
\(910\) | −389.531 | + | 674.688i | −0.428056 | + | 0.741416i | ||||
\(911\) | −820.799 | − | 144.729i | −0.900986 | − | 0.158868i | −0.296078 | − | 0.955164i | \(-0.595679\pi\) |
−0.604908 | + | 0.796295i | \(0.706790\pi\) | |||||||
\(912\) | −135.658 | − | 178.278i | −0.148748 | − | 0.195480i | ||||
\(913\) | −49.3535 | − | 17.9632i | −0.0540565 | − | 0.0196749i | ||||
\(914\) | 2092.04 | − | 368.883i | 2.28888 | − | 0.403592i | ||||
\(915\) | −1989.82 | + | 618.569i | −2.17466 | + | 0.676031i | ||||
\(916\) | 575.305 | + | 482.738i | 0.628062 | + | 0.527007i | ||||
\(917\) | − | 586.439i | − | 0.639519i | ||||||
\(918\) | −1061.56 | + | 949.351i | −1.15638 | + | 1.03415i | ||||
\(919\) | 1687.49 | 1.83623 | 0.918114 | − | 0.396315i | \(-0.129711\pi\) | ||||
0.918114 | + | 0.396315i | \(0.129711\pi\) | |||||||
\(920\) | 1112.06 | − | 1325.30i | 1.20876 | − | 1.44055i | ||||
\(921\) | 591.316 | + | 133.598i | 0.642037 | + | 0.145057i | ||||
\(922\) | −81.7612 | − | 463.691i | −0.0886781 | − | 0.502919i | ||||
\(923\) | −83.8336 | + | 230.331i | −0.0908273 | + | 0.249546i | ||||
\(924\) | 154.909 | + | 64.8993i | 0.167651 | + | 0.0702374i | ||||
\(925\) | 201.726 | − | 1144.05i | 0.218082 | − | 1.23681i | ||||
\(926\) | −811.093 | − | 468.285i | −0.875910 | − | 0.505707i | ||||
\(927\) | 394.894 | − | 1427.57i | 0.425991 | − | 1.53999i | ||||
\(928\) | 345.038 | + | 597.623i | 0.371808 | + | 0.643990i | ||||
\(929\) | −354.196 | − | 973.147i | −0.381266 | − | 1.04752i | −0.970824 | − | 0.239794i | \(-0.922920\pi\) |
0.589557 | − | 0.807726i | \(-0.299302\pi\) | |||||||
\(930\) | −51.8991 | + | 1087.90i | −0.0558055 | + | 1.16979i | ||||
\(931\) | 86.1053 | − | 72.2509i | 0.0924869 | − | 0.0776057i | ||||
\(932\) | 1078.07 | + | 1284.80i | 1.15673 | + | 1.37854i | ||||
\(933\) | 794.791 | + | 37.9160i | 0.851867 | + | 0.0406388i | ||||
\(934\) | 1667.90 | − | 607.066i | 1.78576 | − | 0.649964i | ||||
\(935\) | 117.626 | − | 67.9113i | 0.125803 | − | 0.0726324i | ||||
\(936\) | −122.288 | − | 471.579i | −0.130649 | − | 0.503824i | ||||
\(937\) | 687.817 | − | 1191.33i | 0.734063 | − | 1.27143i | −0.221071 | − | 0.975258i | \(-0.570955\pi\) |
0.955133 | − | 0.296176i | \(-0.0957115\pi\) | |||||||
\(938\) | 1642.48 | + | 289.614i | 1.75105 | + | 0.308757i | ||||
\(939\) | 319.647 | − | 762.972i | 0.340413 | − | 0.812537i | ||||
\(940\) | −2624.72 | − | 955.319i | −2.79225 | − | 1.01630i | ||||
\(941\) | 1678.41 | − | 295.949i | 1.78365 | − | 0.314505i | 0.818166 | − | 0.574983i | \(-0.194991\pi\) |
0.965480 | + | 0.260478i | \(0.0838800\pi\) | |||||||
\(942\) | −563.966 | + | 2496.16i | −0.598690 | + | 2.64985i | ||||
\(943\) | −20.5352 | − | 17.2311i | −0.0217765 | − | 0.0182726i | ||||
\(944\) | 331.632i | 0.351305i | ||||||||
\(945\) | 440.222 | + | 1100.29i | 0.465844 | + | 1.16433i | ||||
\(946\) | −199.820 | −0.211226 | ||||||||
\(947\) | −14.5188 | + | 17.3028i | −0.0153314 | + | 0.0182712i | −0.773656 | − | 0.633606i | \(-0.781574\pi\) |
0.758324 | + | 0.651878i | \(0.226018\pi\) | |||||||
\(948\) | 248.268 | + | 798.631i | 0.261886 | + | 0.842438i | ||||
\(949\) | −63.9643 | − | 362.760i | −0.0674018 | − | 0.382255i | ||||
\(950\) | −344.392 | + | 946.210i | −0.362518 | + | 0.996011i | ||||
\(951\) | −83.5737 | + | 63.5941i | −0.0878798 | + | 0.0668707i | ||||
\(952\) | 178.251 | − | 1010.91i | 0.187238 | − | 1.06188i | ||||
\(953\) | 877.360 | + | 506.544i | 0.920630 | + | 0.531526i | 0.883836 | − | 0.467797i | \(-0.154952\pi\) |
0.0367941 | + | 0.999323i | \(0.488285\pi\) | |||||||
\(954\) | −240.244 | + | 337.277i | −0.251829 | + | 0.353540i | ||||
\(955\) | 268.750 | + | 465.489i | 0.281414 | + | 0.487423i | ||||
\(956\) | −207.197 | − | 569.270i | −0.216734 | − | 0.595470i | ||||
\(957\) | 102.834 | − | 53.0055i | 0.107454 | − | 0.0553871i | ||||
\(958\) | −432.045 | + | 362.529i | −0.450986 | + | 0.378422i | ||||
\(959\) | −242.281 | − | 288.739i | −0.252639 | − | 0.301083i | ||||
\(960\) | −1071.34 | + | 1666.78i | −1.11598 | + | 1.73623i | ||||
\(961\) | 666.116 | − | 242.446i | 0.693149 | − | 0.252286i | ||||
\(962\) | −800.441 | + | 462.135i | −0.832059 | + | 0.480390i | ||||
\(963\) | −967.724 | + | 76.7986i | −1.00491 | + | 0.0797493i | ||||
\(964\) | −103.499 | + | 179.265i | −0.107364 | + | 0.185959i | ||||
\(965\) | 1516.71 | + | 267.437i | 1.57172 | + | 0.277137i | ||||
\(966\) | 1566.26 | − | 199.774i | 1.62138 | − | 0.206805i | ||||
\(967\) | −92.8853 | − | 33.8075i | −0.0960551 | − | 0.0349612i | 0.293546 | − | 0.955945i | \(-0.405165\pi\) |
−0.389601 | + | 0.920984i | \(0.627387\pi\) | |||||||
\(968\) | −1192.55 | + | 210.278i | −1.23197 | + | 0.217229i | ||||
\(969\) | −474.788 | − | 438.602i | −0.489977 | − | 0.452633i | ||||
\(970\) | −19.8263 | − | 16.6362i | −0.0204395 | − | 0.0171507i | ||||
\(971\) | 415.261i | 0.427664i | 0.976871 | + | 0.213832i | \(0.0685944\pi\) | ||||
−0.976871 | + | 0.213832i | \(0.931406\pi\) | |||||||
\(972\) | −1569.13 | − | 687.371i | −1.61433 | − | 0.707172i | ||||
\(973\) | −322.227 | −0.331169 | ||||||||
\(974\) | 44.4556 | − | 52.9802i | 0.0456423 | − | 0.0543944i | ||||
\(975\) | −242.494 | + | 262.501i | −0.248712 | + | 0.269231i | ||||
\(976\) | 96.4375 | + | 546.924i | 0.0988089 | + | 0.560373i | ||||
\(977\) | −107.877 | + | 296.389i | −0.110416 | + | 0.303366i | −0.982578 | − | 0.185852i | \(-0.940496\pi\) |
0.872161 | + | 0.489218i | \(0.162718\pi\) | |||||||
\(978\) | −334.625 | − | 2623.52i | −0.342153 | − | 2.68253i | ||||
\(979\) | 15.4276 | − | 87.4943i | 0.0157585 | − | 0.0893711i | ||||
\(980\) | 347.618 | + | 200.697i | 0.354712 | + | 0.204793i | ||||
\(981\) | −125.534 | − | 1581.83i | −0.127966 | − | 1.61247i | ||||
\(982\) | −251.177 | − | 435.052i | −0.255781 | − | 0.443027i | ||||
\(983\) | 219.236 | + | 602.345i | 0.223027 | + | 0.612762i | 0.999856 | − | 0.0169496i | \(-0.00539547\pi\) |
−0.776829 | + | 0.629711i | \(0.783173\pi\) | |||||||
\(984\) | −27.6408 | − | 17.7664i | −0.0280903 | − | 0.0180553i | ||||
\(985\) | −1821.39 | + | 1528.32i | −1.84912 | + | 1.55160i | ||||
\(986\) | −1050.63 | − | 1252.09i | −1.06554 | − | 1.26987i | ||||
\(987\) | −505.256 | − | 980.227i | −0.511911 | − | 0.993138i | ||||
\(988\) | 480.302 | − | 174.816i | 0.486136 | − | 0.176939i | ||||
\(989\) | −1037.92 | + | 599.245i | −1.04947 | + | 0.605910i | ||||
\(990\) | 208.576 | + | 148.570i | 0.210683 | + | 0.150071i | ||||
\(991\) | −464.001 | + | 803.674i | −0.468215 | + | 0.810973i | −0.999340 | − | 0.0363209i | \(-0.988436\pi\) |
0.531125 | + | 0.847294i | \(0.321769\pi\) | |||||||
\(992\) | −348.235 | − | 61.4032i | −0.351043 | − | 0.0618984i | ||||
\(993\) | 383.069 | + | 503.419i | 0.385769 | + | 0.506968i | ||||
\(994\) | −915.020 | − | 333.040i | −0.920544 | − | 0.335050i | ||||
\(995\) | −1067.25 | + | 188.185i | −1.07261 | + | 0.189131i | ||||
\(996\) | −852.328 | + | 264.961i | −0.855751 | + | 0.266025i | ||||
\(997\) | 872.811 | + | 732.376i | 0.875438 | + | 0.734579i | 0.965236 | − | 0.261381i | \(-0.0841778\pi\) |
−0.0897982 | + | 0.995960i | \(0.528622\pi\) | |||||||
\(998\) | − | 2717.71i | − | 2.72316i | ||||||
\(999\) | −200.381 | + | 1391.62i | −0.200581 | + | 1.39301i |
(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 | 27.3.f.a.11.5 | yes | 30 | |
3.2 | odd | 2 | 81.3.f.a.35.1 | 30 | |||
4.3 | odd | 2 | 432.3.bc.a.65.4 | 30 | |||
9.2 | odd | 6 | 243.3.f.b.26.5 | 30 | |||
9.4 | even | 3 | 243.3.f.d.188.5 | 30 | |||
9.5 | odd | 6 | 243.3.f.a.188.1 | 30 | |||
9.7 | even | 3 | 243.3.f.c.26.1 | 30 | |||
27.4 | even | 9 | 243.3.f.b.215.5 | 30 | |||
27.5 | odd | 18 | inner | 27.3.f.a.5.5 | ✓ | 30 | |
27.7 | even | 9 | 729.3.b.a.728.4 | 30 | |||
27.13 | even | 9 | 243.3.f.a.53.1 | 30 | |||
27.14 | odd | 18 | 243.3.f.d.53.5 | 30 | |||
27.20 | odd | 18 | 729.3.b.a.728.27 | 30 | |||
27.22 | even | 9 | 81.3.f.a.44.1 | 30 | |||
27.23 | odd | 18 | 243.3.f.c.215.1 | 30 | |||
108.59 | even | 18 | 432.3.bc.a.113.4 | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.3.f.a.5.5 | ✓ | 30 | 27.5 | odd | 18 | inner | |
27.3.f.a.11.5 | yes | 30 | 1.1 | even | 1 | trivial | |
81.3.f.a.35.1 | 30 | 3.2 | odd | 2 | |||
81.3.f.a.44.1 | 30 | 27.22 | even | 9 | |||
243.3.f.a.53.1 | 30 | 27.13 | even | 9 | |||
243.3.f.a.188.1 | 30 | 9.5 | odd | 6 | |||
243.3.f.b.26.5 | 30 | 9.2 | odd | 6 | |||
243.3.f.b.215.5 | 30 | 27.4 | even | 9 | |||
243.3.f.c.26.1 | 30 | 9.7 | even | 3 | |||
243.3.f.c.215.1 | 30 | 27.23 | odd | 18 | |||
243.3.f.d.53.5 | 30 | 27.14 | odd | 18 | |||
243.3.f.d.188.5 | 30 | 9.4 | even | 3 | |||
432.3.bc.a.65.4 | 30 | 4.3 | odd | 2 | |||
432.3.bc.a.113.4 | 30 | 108.59 | even | 18 | |||
729.3.b.a.728.4 | 30 | 27.7 | even | 9 | |||
729.3.b.a.728.27 | 30 | 27.20 | odd | 18 |