Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(76,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.76");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bd (of order \(12\), degree \(4\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 175.6 | ||
Character | \(\chi\) | \(=\) | 429.175 |
Dual form | 429.2.bd.b.76.6 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{5}{12}\right)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.391582 | + | 0.104924i | −0.276890 | + | 0.0741926i | −0.394592 | − | 0.918856i | \(-0.629114\pi\) |
0.117702 | + | 0.993049i | \(0.462447\pi\) | |||||||
\(3\) | 0.500000 | − | 0.866025i | 0.288675 | − | 0.500000i | ||||
\(4\) | −1.58972 | + | 0.917827i | −0.794862 | + | 0.458914i | ||||
\(5\) | 2.00961 | − | 2.00961i | 0.898723 | − | 0.898723i | −0.0966002 | − | 0.995323i | \(-0.530797\pi\) |
0.995323 | + | 0.0966002i | \(0.0307968\pi\) | |||||||
\(6\) | −0.104924 | + | 0.391582i | −0.0428351 | + | 0.159863i | ||||
\(7\) | −3.95482 | − | 1.05969i | −1.49478 | − | 0.400525i | −0.583433 | − | 0.812162i | \(-0.698291\pi\) |
−0.911348 | + | 0.411636i | \(0.864957\pi\) | |||||||
\(8\) | 1.09952 | − | 1.09952i | 0.388739 | − | 0.388739i | ||||
\(9\) | −0.500000 | − | 0.866025i | −0.166667 | − | 0.288675i | ||||
\(10\) | −0.576070 | + | 0.997782i | −0.182169 | + | 0.315526i | ||||
\(11\) | −2.31890 | + | 2.37123i | −0.699174 | + | 0.714951i | ||||
\(12\) | 1.83565i | 0.529908i | ||||||||
\(13\) | −3.35978 | − | 1.30837i | −0.931837 | − | 0.362878i | ||||
\(14\) | 1.65982 | 0.443607 | ||||||||
\(15\) | −0.735567 | − | 2.74517i | −0.189923 | − | 0.708801i | ||||
\(16\) | 1.52047 | − | 2.63353i | 0.380117 | − | 0.658382i | ||||
\(17\) | −0.407381 | − | 0.705605i | −0.0988044 | − | 0.171134i | 0.812386 | − | 0.583121i | \(-0.198168\pi\) |
−0.911190 | + | 0.411986i | \(0.864835\pi\) | |||||||
\(18\) | 0.286658 | + | 0.286658i | 0.0675660 | + | 0.0675660i | ||||
\(19\) | −0.953793 | + | 3.55960i | −0.218815 | + | 0.816629i | 0.765973 | + | 0.642872i | \(0.222257\pi\) |
−0.984789 | + | 0.173757i | \(0.944409\pi\) | |||||||
\(20\) | −1.35025 | + | 5.03919i | −0.301924 | + | 1.12680i | ||||
\(21\) | −2.89513 | + | 2.89513i | −0.631769 | + | 0.631769i | ||||
\(22\) | 0.659241 | − | 1.17184i | 0.140551 | − | 0.249837i | ||||
\(23\) | −3.35891 | − | 1.93927i | −0.700381 | − | 0.404365i | 0.107108 | − | 0.994247i | \(-0.465841\pi\) |
−0.807489 | + | 0.589882i | \(0.799174\pi\) | |||||||
\(24\) | −0.402453 | − | 1.50197i | −0.0821503 | − | 0.306589i | ||||
\(25\) | − | 3.07703i | − | 0.615406i | ||||||
\(26\) | 1.45291 | + | 0.159814i | 0.284940 | + | 0.0313421i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 7.25968 | − | 1.94523i | 1.37195 | − | 0.367613i | ||||
\(29\) | −4.70672 | − | 2.71742i | −0.874015 | − | 0.504613i | −0.00533471 | − | 0.999986i | \(-0.501698\pi\) |
−0.868680 | + | 0.495373i | \(0.835031\pi\) | |||||||
\(30\) | 0.576070 | + | 0.997782i | 0.105175 | + | 0.182169i | ||||
\(31\) | 4.88323 | − | 4.88323i | 0.877053 | − | 0.877053i | −0.116176 | − | 0.993229i | \(-0.537064\pi\) |
0.993229 | + | 0.116176i | \(0.0370635\pi\) | |||||||
\(32\) | −1.12397 | + | 4.19472i | −0.198692 | + | 0.741530i | ||||
\(33\) | 0.894092 | + | 3.19384i | 0.155641 | + | 0.555976i | ||||
\(34\) | 0.233558 | + | 0.233558i | 0.0400549 | + | 0.0400549i | ||||
\(35\) | −10.0772 | + | 5.81807i | −1.70336 | + | 0.983433i | ||||
\(36\) | 1.58972 | + | 0.917827i | 0.264954 | + | 0.152971i | ||||
\(37\) | −2.24755 | + | 0.602228i | −0.369494 | + | 0.0990057i | −0.438788 | − | 0.898591i | \(-0.644592\pi\) |
0.0692938 | + | 0.997596i | \(0.477925\pi\) | |||||||
\(38\) | − | 1.49395i | − | 0.242351i | ||||||
\(39\) | −2.81298 | + | 2.25547i | −0.450437 | + | 0.361165i | ||||
\(40\) | − | 4.41921i | − | 0.698738i | ||||||
\(41\) | 6.89125 | − | 1.84650i | 1.07623 | − | 0.288375i | 0.323181 | − | 0.946337i | \(-0.395248\pi\) |
0.753051 | + | 0.657962i | \(0.228581\pi\) | |||||||
\(42\) | 0.829912 | − | 1.43745i | 0.128058 | − | 0.221803i | ||||
\(43\) | −4.75179 | − | 8.23034i | −0.724641 | − | 1.25511i | −0.959122 | − | 0.282994i | \(-0.908672\pi\) |
0.234481 | − | 0.972121i | \(-0.424661\pi\) | |||||||
\(44\) | 1.51003 | − | 5.89794i | 0.227646 | − | 0.889148i | ||||
\(45\) | −2.74517 | − | 0.735567i | −0.409226 | − | 0.109652i | ||||
\(46\) | 1.51877 | + | 0.406952i | 0.223930 | + | 0.0600018i | ||||
\(47\) | −5.58658 | − | 5.58658i | −0.814886 | − | 0.814886i | 0.170476 | − | 0.985362i | \(-0.445469\pi\) |
−0.985362 | + | 0.170476i | \(0.945469\pi\) | |||||||
\(48\) | −1.52047 | − | 2.63353i | −0.219461 | − | 0.380117i | ||||
\(49\) | 8.45547 | + | 4.88177i | 1.20792 | + | 0.697395i | ||||
\(50\) | 0.322855 | + | 1.20491i | 0.0456586 | + | 0.170400i | ||||
\(51\) | −0.814762 | −0.114090 | ||||||||
\(52\) | 6.54199 | − | 1.00375i | 0.907211 | − | 0.139195i | ||||
\(53\) | −3.97736 | −0.546333 | −0.273166 | − | 0.961967i | \(-0.588071\pi\) | ||||
−0.273166 | + | 0.961967i | \(0.588071\pi\) | |||||||
\(54\) | 0.391582 | − | 0.104924i | 0.0532876 | − | 0.0142784i | ||||
\(55\) | 0.105156 | + | 9.42530i | 0.0141792 | + | 1.27091i | ||||
\(56\) | −5.51356 | + | 3.18326i | −0.736780 | + | 0.425380i | ||||
\(57\) | 2.60581 | + | 2.60581i | 0.345148 | + | 0.345148i | ||||
\(58\) | 2.12819 | + | 0.570247i | 0.279445 | + | 0.0748771i | ||||
\(59\) | −2.78917 | + | 10.4093i | −0.363120 | + | 1.35518i | 0.506832 | + | 0.862045i | \(0.330816\pi\) |
−0.869952 | + | 0.493136i | \(0.835850\pi\) | |||||||
\(60\) | 3.68894 | + | 3.68894i | 0.476240 | + | 0.476240i | ||||
\(61\) | 9.30427 | − | 5.37182i | 1.19129 | − | 0.687791i | 0.232691 | − | 0.972551i | \(-0.425247\pi\) |
0.958599 | + | 0.284759i | \(0.0919137\pi\) | |||||||
\(62\) | −1.39982 | + | 2.42455i | −0.177777 | + | 0.307918i | ||||
\(63\) | 1.05969 | + | 3.95482i | 0.133508 | + | 0.498260i | ||||
\(64\) | 4.32136i | 0.540170i | ||||||||
\(65\) | −9.38116 | + | 4.12253i | −1.16359 | + | 0.511336i | ||||
\(66\) | −0.685221 | − | 1.15684i | −0.0843449 | − | 0.142397i | ||||
\(67\) | 1.10134 | + | 4.11026i | 0.134550 | + | 0.502148i | 0.999999 | + | 0.00115109i | \(0.000366402\pi\) |
−0.865449 | + | 0.500997i | \(0.832967\pi\) | |||||||
\(68\) | 1.29525 | + | 0.747811i | 0.157072 | + | 0.0906854i | ||||
\(69\) | −3.35891 | + | 1.93927i | −0.404365 | + | 0.233460i | ||||
\(70\) | 3.33559 | − | 3.33559i | 0.398679 | − | 0.398679i | ||||
\(71\) | −0.994820 | − | 0.266561i | −0.118063 | − | 0.0316350i | 0.199304 | − | 0.979938i | \(-0.436132\pi\) |
−0.317367 | + | 0.948303i | \(0.602799\pi\) | |||||||
\(72\) | −1.50197 | − | 0.402453i | −0.177009 | − | 0.0474295i | ||||
\(73\) | 9.57876 | − | 9.57876i | 1.12111 | − | 1.12111i | 0.129534 | − | 0.991575i | \(-0.458652\pi\) |
0.991575 | − | 0.129534i | \(-0.0413481\pi\) | |||||||
\(74\) | 0.816911 | − | 0.471644i | 0.0949639 | − | 0.0548274i | ||||
\(75\) | −2.66479 | − | 1.53852i | −0.307703 | − | 0.177653i | ||||
\(76\) | −1.75083 | − | 6.53420i | −0.200834 | − | 0.749525i | ||||
\(77\) | 11.6836 | − | 6.92045i | 1.33147 | − | 0.788659i | ||||
\(78\) | 0.864859 | − | 1.17835i | 0.0979260 | − | 0.133422i | ||||
\(79\) | − | 4.76856i | − | 0.536505i | −0.963349 | − | 0.268252i | \(-0.913554\pi\) | ||
0.963349 | − | 0.268252i | \(-0.0864461\pi\) | |||||||
\(80\) | −2.23681 | − | 8.34789i | −0.250083 | − | 0.933323i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | −2.50475 | + | 1.44612i | −0.276603 | + | 0.159697i | ||||
\(83\) | 5.63465 | + | 5.63465i | 0.618484 | + | 0.618484i | 0.945142 | − | 0.326659i | \(-0.105923\pi\) |
−0.326659 | + | 0.945142i | \(0.605923\pi\) | |||||||
\(84\) | 1.94523 | − | 7.25968i | 0.212241 | − | 0.792096i | ||||
\(85\) | −2.23666 | − | 0.599312i | −0.242600 | − | 0.0650045i | ||||
\(86\) | 2.72428 | + | 2.72428i | 0.293766 | + | 0.293766i | ||||
\(87\) | −4.70672 | + | 2.71742i | −0.504613 | + | 0.291338i | ||||
\(88\) | 0.0575343 | + | 5.15689i | 0.00613317 | + | 0.549726i | ||||
\(89\) | 14.1263 | − | 3.78514i | 1.49739 | − | 0.401224i | 0.585165 | − | 0.810914i | \(-0.301030\pi\) |
0.912225 | + | 0.409690i | \(0.134363\pi\) | |||||||
\(90\) | 1.15214 | 0.121446 | ||||||||
\(91\) | 11.9009 | + | 8.73472i | 1.24755 | + | 0.915647i | ||||
\(92\) | 7.11965 | 0.742275 | ||||||||
\(93\) | −1.78738 | − | 6.67061i | −0.185343 | − | 0.691710i | ||||
\(94\) | 2.77377 | + | 1.60144i | 0.286093 | + | 0.165176i | ||||
\(95\) | 5.23665 | + | 9.07015i | 0.537269 | + | 0.930578i | ||||
\(96\) | 3.07075 | + | 3.07075i | 0.313407 | + | 0.313407i | ||||
\(97\) | −8.44167 | − | 2.26194i | −0.857122 | − | 0.229665i | −0.196611 | − | 0.980482i | \(-0.562994\pi\) |
−0.660511 | + | 0.750816i | \(0.729660\pi\) | |||||||
\(98\) | −3.82323 | − | 1.02443i | −0.386204 | − | 0.103483i | ||||
\(99\) | 3.21299 | + | 0.822612i | 0.322918 | + | 0.0826757i | ||||
\(100\) | 2.82418 | + | 4.89163i | 0.282418 | + | 0.489163i | ||||
\(101\) | 2.03636 | − | 3.52707i | 0.202625 | − | 0.350957i | −0.746748 | − | 0.665107i | \(-0.768386\pi\) |
0.949373 | + | 0.314150i | \(0.101719\pi\) | |||||||
\(102\) | 0.319046 | − | 0.0854882i | 0.0315903 | − | 0.00846459i | ||||
\(103\) | − | 2.51492i | − | 0.247802i | −0.992295 | − | 0.123901i | \(-0.960459\pi\) | ||
0.992295 | − | 0.123901i | \(-0.0395405\pi\) | |||||||
\(104\) | −5.13274 | + | 2.25557i | −0.503307 | + | 0.221177i | ||||
\(105\) | 11.6361i | 1.13557i | ||||||||
\(106\) | 1.55746 | − | 0.417321i | 0.151274 | − | 0.0405338i | ||||
\(107\) | −4.69636 | − | 2.71144i | −0.454014 | − | 0.262125i | 0.255510 | − | 0.966806i | \(-0.417757\pi\) |
−0.709524 | + | 0.704681i | \(0.751090\pi\) | |||||||
\(108\) | 1.58972 | − | 0.917827i | 0.152971 | − | 0.0883180i | ||||
\(109\) | 6.02896 | + | 6.02896i | 0.577470 | + | 0.577470i | 0.934205 | − | 0.356736i | \(-0.116110\pi\) |
−0.356736 | + | 0.934205i | \(0.616110\pi\) | |||||||
\(110\) | −1.03012 | − | 3.67975i | −0.0982180 | − | 0.350850i | ||||
\(111\) | −0.602228 | + | 2.24755i | −0.0571609 | + | 0.213328i | ||||
\(112\) | −8.80390 | + | 8.80390i | −0.831890 | + | 0.831890i | ||||
\(113\) | 4.45504 | + | 7.71635i | 0.419095 | + | 0.725893i | 0.995849 | − | 0.0910247i | \(-0.0290142\pi\) |
−0.576754 | + | 0.816918i | \(0.695681\pi\) | |||||||
\(114\) | −1.29380 | − | 0.746977i | −0.121176 | − | 0.0699608i | ||||
\(115\) | −10.6472 | + | 2.85292i | −0.992861 | + | 0.266036i | ||||
\(116\) | 9.97650 | 0.926295 | ||||||||
\(117\) | 0.546807 | + | 3.56385i | 0.0505523 | + | 0.329478i | ||||
\(118\) | − | 4.36877i | − | 0.402177i | ||||||
\(119\) | 0.863396 | + | 3.22224i | 0.0791474 | + | 0.295382i | ||||
\(120\) | −3.82715 | − | 2.20960i | −0.349369 | − | 0.201708i | ||||
\(121\) | −0.245418 | − | 10.9973i | −0.0223108 | − | 0.999751i | ||||
\(122\) | −3.07975 | + | 3.07975i | −0.278828 | + | 0.278828i | ||||
\(123\) | 1.84650 | − | 6.89125i | 0.166494 | − | 0.621363i | ||||
\(124\) | −3.28102 | + | 12.2449i | −0.294644 | + | 1.09963i | ||||
\(125\) | 3.86441 | + | 3.86441i | 0.345643 | + | 0.345643i | ||||
\(126\) | −0.829912 | − | 1.43745i | −0.0739344 | − | 0.128058i | ||||
\(127\) | 1.79483 | − | 3.10873i | 0.159265 | − | 0.275855i | −0.775339 | − | 0.631546i | \(-0.782421\pi\) |
0.934604 | + | 0.355690i | \(0.115754\pi\) | |||||||
\(128\) | −2.70136 | − | 10.0816i | −0.238769 | − | 0.891097i | ||||
\(129\) | −9.50357 | −0.836743 | ||||||||
\(130\) | 3.24094 | − | 2.59862i | 0.284250 | − | 0.227914i | ||||
\(131\) | 7.05407i | 0.616317i | 0.951335 | + | 0.308159i | \(0.0997128\pi\) | ||||
−0.951335 | + | 0.308159i | \(0.900287\pi\) | |||||||
\(132\) | −4.35275 | − | 4.25670i | −0.378858 | − | 0.370498i | ||||
\(133\) | 7.54416 | − | 13.0669i | 0.654161 | − | 1.13304i | ||||
\(134\) | −0.862530 | − | 1.49395i | −0.0745112 | − | 0.129057i | ||||
\(135\) | −2.00961 | + | 2.00961i | −0.172959 | + | 0.172959i | ||||
\(136\) | −1.22375 | − | 0.327903i | −0.104936 | − | 0.0281175i | ||||
\(137\) | −2.81361 | + | 10.5005i | −0.240383 | + | 0.897120i | 0.735266 | + | 0.677779i | \(0.237057\pi\) |
−0.975648 | + | 0.219341i | \(0.929609\pi\) | |||||||
\(138\) | 1.11181 | − | 1.11181i | 0.0946438 | − | 0.0946438i | ||||
\(139\) | 6.60159 | − | 3.81143i | 0.559940 | − | 0.323281i | −0.193182 | − | 0.981163i | \(-0.561881\pi\) |
0.753121 | + | 0.657882i | \(0.228547\pi\) | |||||||
\(140\) | 10.6800 | − | 18.4982i | 0.902621 | − | 1.56339i | ||||
\(141\) | −7.63141 | + | 2.04483i | −0.642680 | + | 0.172206i | ||||
\(142\) | 0.417523 | 0.0350377 | ||||||||
\(143\) | 10.8935 | − | 4.93282i | 0.910956 | − | 0.412503i | ||||
\(144\) | −3.04094 | −0.253411 | ||||||||
\(145\) | −14.9196 | + | 3.99769i | −1.23900 | + | 0.331990i | ||||
\(146\) | −2.74583 | + | 4.75592i | −0.227246 | + | 0.393602i | ||||
\(147\) | 8.45547 | − | 4.88177i | 0.697395 | − | 0.402641i | ||||
\(148\) | 3.02023 | − | 3.02023i | 0.248262 | − | 0.248262i | ||||
\(149\) | 2.59701 | − | 9.69215i | 0.212755 | − | 0.794012i | −0.774190 | − | 0.632953i | \(-0.781842\pi\) |
0.986945 | − | 0.161059i | \(-0.0514909\pi\) | |||||||
\(150\) | 1.20491 | + | 0.322855i | 0.0983806 | + | 0.0263610i | ||||
\(151\) | −14.9563 | + | 14.9563i | −1.21713 | + | 1.21713i | −0.248492 | + | 0.968634i | \(0.579935\pi\) |
−0.968634 | + | 0.248492i | \(0.920065\pi\) | |||||||
\(152\) | 2.86515 | + | 4.96258i | 0.232394 | + | 0.402518i | ||||
\(153\) | −0.407381 | + | 0.705605i | −0.0329348 | + | 0.0570448i | ||||
\(154\) | −3.84896 | + | 3.93582i | −0.310158 | + | 0.317157i | ||||
\(155\) | − | 19.6267i | − | 1.57646i | ||||||
\(156\) | 2.40172 | − | 6.16740i | 0.192292 | − | 0.493787i | ||||
\(157\) | −22.2134 | −1.77282 | −0.886411 | − | 0.462899i | \(-0.846809\pi\) | ||||
−0.886411 | + | 0.462899i | \(0.846809\pi\) | |||||||
\(158\) | 0.500337 | + | 1.86728i | 0.0398047 | + | 0.148553i | ||||
\(159\) | −1.98868 | + | 3.44450i | −0.157713 | + | 0.273166i | ||||
\(160\) | 6.17100 | + | 10.6885i | 0.487860 | + | 0.844999i | ||||
\(161\) | 11.2289 | + | 11.2289i | 0.884958 | + | 0.884958i | ||||
\(162\) | 0.104924 | − | 0.391582i | 0.00824362 | − | 0.0307656i | ||||
\(163\) | 3.45186 | − | 12.8825i | 0.270370 | − | 1.00904i | −0.688510 | − | 0.725227i | \(-0.741735\pi\) |
0.958881 | − | 0.283810i | \(-0.0915983\pi\) | |||||||
\(164\) | −9.26040 | + | 9.26040i | −0.723116 | + | 0.723116i | ||||
\(165\) | 8.21513 | + | 4.62158i | 0.639547 | + | 0.359790i | ||||
\(166\) | −2.79764 | − | 1.61522i | −0.217139 | − | 0.125365i | ||||
\(167\) | 4.51531 | + | 16.8514i | 0.349405 | + | 1.30400i | 0.887381 | + | 0.461037i | \(0.152522\pi\) |
−0.537976 | + | 0.842960i | \(0.680811\pi\) | |||||||
\(168\) | 6.36651i | 0.491187i | ||||||||
\(169\) | 9.57631 | + | 8.79172i | 0.736639 | + | 0.676286i | ||||
\(170\) | 0.938720 | 0.0719965 | ||||||||
\(171\) | 3.55960 | − | 0.953793i | 0.272210 | − | 0.0729384i | ||||
\(172\) | 15.1081 | + | 8.72264i | 1.15198 | + | 0.665095i | ||||
\(173\) | −6.42530 | − | 11.1289i | −0.488507 | − | 0.846118i | 0.511406 | − | 0.859339i | \(-0.329125\pi\) |
−0.999913 | + | 0.0132209i | \(0.995792\pi\) | |||||||
\(174\) | 1.55794 | − | 1.55794i | 0.118107 | − | 0.118107i | ||||
\(175\) | −3.26070 | + | 12.1691i | −0.246486 | + | 0.919898i | ||||
\(176\) | 2.71888 | + | 9.71225i | 0.204943 | + | 0.732089i | ||||
\(177\) | 7.62017 | + | 7.62017i | 0.572767 | + | 0.572767i | ||||
\(178\) | −5.13447 | + | 2.96439i | −0.384845 | + | 0.222190i | ||||
\(179\) | −16.8258 | − | 9.71437i | −1.25762 | − | 0.726086i | −0.285007 | − | 0.958525i | \(-0.591996\pi\) |
−0.972611 | + | 0.232439i | \(0.925329\pi\) | |||||||
\(180\) | 5.03919 | − | 1.35025i | 0.375599 | − | 0.100641i | ||||
\(181\) | − | 20.6946i | − | 1.53822i | −0.639117 | − | 0.769109i | \(-0.720700\pi\) | ||
0.639117 | − | 0.769109i | \(-0.279300\pi\) | |||||||
\(182\) | −5.57665 | − | 2.17167i | −0.413369 | − | 0.160975i | ||||
\(183\) | − | 10.7436i | − | 0.794193i | ||||||
\(184\) | −5.82546 | + | 1.56093i | −0.429458 | + | 0.115073i | ||||
\(185\) | −3.30644 | + | 5.72692i | −0.243094 | + | 0.421052i | ||||
\(186\) | 1.39982 | + | 2.42455i | 0.102639 | + | 0.177777i | ||||
\(187\) | 2.61782 | + | 0.670233i | 0.191434 | + | 0.0490123i | ||||
\(188\) | 14.0086 | + | 3.75360i | 1.02168 | + | 0.273759i | ||||
\(189\) | 3.95482 | + | 1.05969i | 0.287671 | + | 0.0770811i | ||||
\(190\) | −3.00226 | − | 3.00226i | −0.217807 | − | 0.217807i | ||||
\(191\) | −8.11011 | − | 14.0471i | −0.586827 | − | 1.01641i | −0.994645 | − | 0.103351i | \(-0.967044\pi\) |
0.407818 | − | 0.913063i | \(-0.366290\pi\) | |||||||
\(192\) | 3.74241 | + | 2.16068i | 0.270085 | + | 0.155934i | ||||
\(193\) | −6.28919 | − | 23.4716i | −0.452706 | − | 1.68952i | −0.694747 | − | 0.719254i | \(-0.744484\pi\) |
0.242041 | − | 0.970266i | \(-0.422183\pi\) | |||||||
\(194\) | 3.54294 | 0.254368 | ||||||||
\(195\) | −1.12037 | + | 10.1856i | −0.0802313 | + | 0.729405i | ||||
\(196\) | −17.9225 | −1.28018 | ||||||||
\(197\) | −20.9622 | + | 5.61680i | −1.49349 | + | 0.400180i | −0.910915 | − | 0.412594i | \(-0.864623\pi\) |
−0.582578 | + | 0.812775i | \(0.697956\pi\) | |||||||
\(198\) | −1.34446 | + | 0.0149999i | −0.0955467 | + | 0.00106599i | ||||
\(199\) | 5.75748 | − | 3.32408i | 0.408137 | − | 0.235638i | −0.281852 | − | 0.959458i | \(-0.590949\pi\) |
0.689989 | + | 0.723820i | \(0.257615\pi\) | |||||||
\(200\) | −3.38326 | − | 3.38326i | −0.239233 | − | 0.239233i | ||||
\(201\) | 4.11026 | + | 1.10134i | 0.289915 | + | 0.0776825i | ||||
\(202\) | −0.427326 | + | 1.59480i | −0.0300665 | + | 0.112210i | ||||
\(203\) | 15.7346 | + | 15.7346i | 1.10435 | + | 1.10435i | ||||
\(204\) | 1.29525 | − | 0.747811i | 0.0906854 | − | 0.0523572i | ||||
\(205\) | 10.1379 | − | 17.5594i | 0.708065 | − | 1.22640i | ||||
\(206\) | 0.263876 | + | 0.984797i | 0.0183851 | + | 0.0686141i | ||||
\(207\) | 3.87853i | 0.269577i | ||||||||
\(208\) | −8.55409 | + | 6.85874i | −0.593119 | + | 0.475568i | ||||
\(209\) | −6.22887 | − | 10.5160i | −0.430860 | − | 0.727408i | ||||
\(210\) | −1.22091 | − | 4.55650i | −0.0842509 | − | 0.314429i | ||||
\(211\) | 16.9556 | + | 9.78932i | 1.16727 | + | 0.673925i | 0.953036 | − | 0.302857i | \(-0.0979406\pi\) |
0.214236 | + | 0.976782i | \(0.431274\pi\) | |||||||
\(212\) | 6.32291 | − | 3.65053i | 0.434259 | − | 0.250720i | ||||
\(213\) | −0.728259 | + | 0.728259i | −0.0498995 | + | 0.0498995i | ||||
\(214\) | 2.12351 | + | 0.568992i | 0.145160 | + | 0.0388955i | ||||
\(215\) | −26.0890 | − | 6.99051i | −1.77925 | − | 0.476749i | ||||
\(216\) | −1.09952 | + | 1.09952i | −0.0748130 | + | 0.0748130i | ||||
\(217\) | −24.4870 | + | 14.1376i | −1.66228 | + | 0.959720i | ||||
\(218\) | −2.99342 | − | 1.72825i | −0.202740 | − | 0.117052i | ||||
\(219\) | −3.50607 | − | 13.0848i | −0.236918 | − | 0.884191i | ||||
\(220\) | −8.81797 | − | 14.8871i | −0.594507 | − | 1.00369i | ||||
\(221\) | 0.445517 | + | 2.90369i | 0.0299687 | + | 0.195323i | ||||
\(222\) | − | 0.943287i | − | 0.0633093i | ||||||
\(223\) | 1.56442 | + | 5.83849i | 0.104761 | + | 0.390974i | 0.998318 | − | 0.0579759i | \(-0.0184647\pi\) |
−0.893557 | + | 0.448950i | \(0.851798\pi\) | |||||||
\(224\) | 8.89022 | − | 15.3983i | 0.594003 | − | 1.02884i | ||||
\(225\) | −2.66479 | + | 1.53852i | −0.177653 | + | 0.102568i | ||||
\(226\) | −2.55414 | − | 2.55414i | −0.169899 | − | 0.169899i | ||||
\(227\) | −3.79339 | + | 14.1571i | −0.251776 | + | 0.939641i | 0.718080 | + | 0.695961i | \(0.245021\pi\) |
−0.969856 | + | 0.243680i | \(0.921645\pi\) | |||||||
\(228\) | −6.53420 | − | 1.75083i | −0.432738 | − | 0.115952i | ||||
\(229\) | 2.63621 | + | 2.63621i | 0.174206 | + | 0.174206i | 0.788824 | − | 0.614619i | \(-0.210690\pi\) |
−0.614619 | + | 0.788824i | \(0.710690\pi\) | |||||||
\(230\) | 3.86993 | − | 2.23431i | 0.255176 | − | 0.147326i | ||||
\(231\) | −0.151492 | − | 13.5785i | −0.00996746 | − | 0.893400i | ||||
\(232\) | −8.16300 | + | 2.18727i | −0.535927 | + | 0.143601i | ||||
\(233\) | −12.6584 | −0.829277 | −0.414639 | − | 0.909986i | \(-0.636092\pi\) | ||||
−0.414639 | + | 0.909986i | \(0.636092\pi\) | |||||||
\(234\) | −0.588053 | − | 1.33817i | −0.0384422 | − | 0.0874786i | ||||
\(235\) | −22.4536 | −1.46471 | ||||||||
\(236\) | −5.11996 | − | 19.1080i | −0.333281 | − | 1.24382i | ||||
\(237\) | −4.12969 | − | 2.38428i | −0.268252 | − | 0.154876i | ||||
\(238\) | −0.676181 | − | 1.17118i | −0.0438303 | − | 0.0759163i | ||||
\(239\) | −15.5478 | − | 15.5478i | −1.00570 | − | 1.00570i | −0.999984 | − | 0.00571889i | \(-0.998180\pi\) |
−0.00571889 | − | 0.999984i | \(-0.501820\pi\) | |||||||
\(240\) | −8.34789 | − | 2.23681i | −0.538854 | − | 0.144386i | ||||
\(241\) | −22.6969 | − | 6.08161i | −1.46203 | − | 0.391751i | −0.561843 | − | 0.827244i | \(-0.689907\pi\) |
−0.900192 | + | 0.435493i | \(0.856574\pi\) | |||||||
\(242\) | 1.24998 | + | 4.28058i | 0.0803517 | + | 0.275166i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | −9.86081 | + | 17.0794i | −0.631274 | + | 1.09340i | ||||
\(245\) | 26.8026 | − | 7.18173i | 1.71235 | − | 0.458824i | ||||
\(246\) | 2.89223i | 0.184402i | ||||||||
\(247\) | 7.86184 | − | 10.7116i | 0.500237 | − | 0.681562i | ||||
\(248\) | − | 10.7384i | − | 0.681890i | ||||||
\(249\) | 7.69708 | − | 2.06243i | 0.487783 | − | 0.130701i | ||||
\(250\) | −1.91870 | − | 1.10776i | −0.121349 | − | 0.0700611i | ||||
\(251\) | −1.66319 | + | 0.960242i | −0.104980 | + | 0.0606099i | −0.551571 | − | 0.834128i | \(-0.685971\pi\) |
0.446591 | + | 0.894738i | \(0.352638\pi\) | |||||||
\(252\) | −5.31445 | − | 5.31445i | −0.334779 | − | 0.334779i | ||||
\(253\) | 12.3874 | − | 3.46777i | 0.778790 | − | 0.218017i | ||||
\(254\) | −0.376641 | + | 1.40564i | −0.0236326 | + | 0.0881980i | ||||
\(255\) | −1.63735 | + | 1.63735i | −0.102535 | + | 0.102535i | ||||
\(256\) | −2.20575 | − | 3.82047i | −0.137859 | − | 0.238779i | ||||
\(257\) | −17.6940 | − | 10.2156i | −1.10372 | − | 0.637234i | −0.166526 | − | 0.986037i | \(-0.553255\pi\) |
−0.937196 | + | 0.348803i | \(0.886588\pi\) | |||||||
\(258\) | 3.72143 | − | 0.997154i | 0.231686 | − | 0.0620801i | ||||
\(259\) | 9.52681 | 0.591967 | ||||||||
\(260\) | 11.1297 | − | 15.1640i | 0.690234 | − | 0.940429i | ||||
\(261\) | 5.43485i | 0.336409i | ||||||||
\(262\) | −0.740143 | − | 2.76225i | −0.0457262 | − | 0.170652i | ||||
\(263\) | 3.90007 | + | 2.25171i | 0.240489 | + | 0.138846i | 0.615401 | − | 0.788214i | \(-0.288994\pi\) |
−0.374913 | + | 0.927060i | \(0.622327\pi\) | |||||||
\(264\) | 4.49477 | + | 2.52862i | 0.276634 | + | 0.155626i | ||||
\(265\) | −7.99293 | + | 7.99293i | −0.491002 | + | 0.491002i | ||||
\(266\) | −1.58313 | + | 5.90832i | −0.0970678 | + | 0.362262i | ||||
\(267\) | 3.78514 | − | 14.1263i | 0.231647 | − | 0.864518i | ||||
\(268\) | −5.52333 | − | 5.52333i | −0.337391 | − | 0.337391i | ||||
\(269\) | −1.50710 | − | 2.61037i | −0.0918894 | − | 0.159157i | 0.816417 | − | 0.577463i | \(-0.195957\pi\) |
−0.908306 | + | 0.418306i | \(0.862624\pi\) | |||||||
\(270\) | 0.576070 | − | 0.997782i | 0.0350585 | − | 0.0607231i | ||||
\(271\) | 1.20307 | + | 4.48992i | 0.0730814 | + | 0.272743i | 0.992791 | − | 0.119855i | \(-0.0382429\pi\) |
−0.919710 | + | 0.392598i | \(0.871576\pi\) | |||||||
\(272\) | −2.47764 | −0.150229 | ||||||||
\(273\) | 13.5149 | − | 5.93910i | 0.817960 | − | 0.359450i | ||||
\(274\) | − | 4.40703i | − | 0.266238i | ||||||
\(275\) | 7.29634 | + | 7.13533i | 0.439986 | + | 0.430276i | ||||
\(276\) | 3.55982 | − | 6.16580i | 0.214276 | − | 0.371137i | ||||
\(277\) | −4.04445 | − | 7.00520i | −0.243008 | − | 0.420902i | 0.718562 | − | 0.695463i | \(-0.244801\pi\) |
−0.961570 | + | 0.274561i | \(0.911467\pi\) | |||||||
\(278\) | −2.18515 | + | 2.18515i | −0.131057 | + | 0.131057i | ||||
\(279\) | −6.67061 | − | 1.78738i | −0.399359 | − | 0.107008i | ||||
\(280\) | −4.68299 | + | 17.4772i | −0.279862 | + | 1.04446i | ||||
\(281\) | −11.7836 | + | 11.7836i | −0.702952 | + | 0.702952i | −0.965043 | − | 0.262091i | \(-0.915588\pi\) |
0.262091 | + | 0.965043i | \(0.415588\pi\) | |||||||
\(282\) | 2.77377 | − | 1.60144i | 0.165176 | − | 0.0953642i | ||||
\(283\) | −5.79787 | + | 10.0422i | −0.344648 | + | 0.596947i | −0.985290 | − | 0.170892i | \(-0.945335\pi\) |
0.640642 | + | 0.767840i | \(0.278668\pi\) | |||||||
\(284\) | 1.82615 | − | 0.489314i | 0.108362 | − | 0.0290355i | ||||
\(285\) | 10.4733 | 0.620385 | ||||||||
\(286\) | −3.74811 | + | 3.07459i | −0.221630 | + | 0.181804i | ||||
\(287\) | −29.2103 | −1.72423 | ||||||||
\(288\) | 4.19472 | − | 1.12397i | 0.247177 | − | 0.0662307i | ||||
\(289\) | 8.16808 | − | 14.1475i | 0.480475 | − | 0.832208i | ||||
\(290\) | 5.42279 | − | 3.13085i | 0.318437 | − | 0.183850i | ||||
\(291\) | −6.17973 | + | 6.17973i | −0.362262 | + | 0.362262i | ||||
\(292\) | −6.43593 | + | 24.0192i | −0.376634 | + | 1.40562i | ||||
\(293\) | 23.4225 | + | 6.27605i | 1.36836 | + | 0.366651i | 0.866879 | − | 0.498519i | \(-0.166123\pi\) |
0.501480 | + | 0.865169i | \(0.332789\pi\) | |||||||
\(294\) | −2.79880 | + | 2.79880i | −0.163229 | + | 0.163229i | ||||
\(295\) | 15.3135 | + | 26.5238i | 0.891588 | + | 1.54428i | ||||
\(296\) | −1.80906 | + | 3.13339i | −0.105150 | + | 0.182124i | ||||
\(297\) | 2.31890 | − | 2.37123i | 0.134556 | − | 0.137592i | ||||
\(298\) | 4.06776i | 0.235639i | ||||||||
\(299\) | 8.74793 | + | 10.9102i | 0.505906 | + | 0.630955i | ||||
\(300\) | 5.64837 | 0.326109 | ||||||||
\(301\) | 10.0708 | + | 37.5849i | 0.580474 | + | 2.16636i | ||||
\(302\) | 4.28734 | − | 7.42589i | 0.246709 | − | 0.427312i | ||||
\(303\) | −2.03636 | − | 3.52707i | −0.116986 | − | 0.202625i | ||||
\(304\) | 7.92410 | + | 7.92410i | 0.454479 | + | 0.454479i | ||||
\(305\) | 7.90267 | − | 29.4932i | 0.452506 | − | 1.68877i | ||||
\(306\) | 0.0854882 | − | 0.319046i | 0.00488704 | − | 0.0182387i | ||||
\(307\) | 11.3350 | − | 11.3350i | 0.646920 | − | 0.646920i | −0.305327 | − | 0.952247i | \(-0.598766\pi\) |
0.952247 | + | 0.305327i | \(0.0987659\pi\) | |||||||
\(308\) | −12.2219 | + | 21.7251i | −0.696407 | + | 1.23790i | ||||
\(309\) | −2.17798 | − | 1.25746i | −0.123901 | − | 0.0715343i | ||||
\(310\) | 2.05932 | + | 7.68547i | 0.116961 | + | 0.436506i | ||||
\(311\) | 7.64419i | 0.433462i | 0.976231 | + | 0.216731i | \(0.0695395\pi\) | ||||
−0.976231 | + | 0.216731i | \(0.930461\pi\) | |||||||
\(312\) | −0.612991 | + | 5.57287i | −0.0347038 | + | 0.315502i | ||||
\(313\) | −10.6415 | −0.601494 | −0.300747 | − | 0.953704i | \(-0.597236\pi\) | ||||
−0.300747 | + | 0.953704i | \(0.597236\pi\) | |||||||
\(314\) | 8.69837 | − | 2.33072i | 0.490878 | − | 0.131530i | ||||
\(315\) | 10.0772 | + | 5.81807i | 0.567785 | + | 0.327811i | ||||
\(316\) | 4.37671 | + | 7.58069i | 0.246209 | + | 0.426447i | ||||
\(317\) | 15.4997 | − | 15.4997i | 0.870552 | − | 0.870552i | −0.121981 | − | 0.992532i | \(-0.538925\pi\) |
0.992532 | + | 0.121981i | \(0.0389246\pi\) | |||||||
\(318\) | 0.417321 | − | 1.55746i | 0.0234022 | − | 0.0873383i | ||||
\(319\) | 17.3580 | − | 4.85925i | 0.971863 | − | 0.272066i | ||||
\(320\) | 8.68423 | + | 8.68423i | 0.485463 | + | 0.485463i | ||||
\(321\) | −4.69636 | + | 2.71144i | −0.262125 | + | 0.151338i | ||||
\(322\) | −5.57520 | − | 3.21884i | −0.310694 | − | 0.179379i | ||||
\(323\) | 2.90023 | − | 0.777115i | 0.161373 | − | 0.0432398i | ||||
\(324\) | − | 1.83565i | − | 0.101981i | ||||||
\(325\) | −4.02591 | + | 10.3382i | −0.223317 | + | 0.573458i | ||||
\(326\) | 5.40675i | 0.299452i | ||||||||
\(327\) | 8.23571 | − | 2.20675i | 0.455436 | − | 0.122034i | ||||
\(328\) | 5.54680 | − | 9.60734i | 0.306271 | − | 0.530477i | ||||
\(329\) | 16.1739 | + | 28.0139i | 0.891693 | + | 1.54446i | ||||
\(330\) | −3.70181 | − | 0.947764i | −0.203778 | − | 0.0521727i | ||||
\(331\) | −1.50410 | − | 0.403023i | −0.0826729 | − | 0.0221521i | 0.217245 | − | 0.976117i | \(-0.430293\pi\) |
−0.299918 | + | 0.953965i | \(0.596959\pi\) | |||||||
\(332\) | −14.1292 | − | 3.78590i | −0.775439 | − | 0.207778i | ||||
\(333\) | 1.64532 | + | 1.64532i | 0.0901628 | + | 0.0901628i | ||||
\(334\) | −3.53623 | − | 6.12493i | −0.193494 | − | 0.335141i | ||||
\(335\) | 10.4733 | + | 6.04674i | 0.572215 | + | 0.330368i | ||||
\(336\) | 3.22245 | + | 12.0263i | 0.175799 | + | 0.656091i | ||||
\(337\) | 21.6012 | 1.17669 | 0.588347 | − | 0.808609i | \(-0.299779\pi\) | ||||
0.588347 | + | 0.808609i | \(0.299779\pi\) | |||||||
\(338\) | −4.67238 | − | 2.43789i | −0.254144 | − | 0.132604i | ||||
\(339\) | 8.91007 | 0.483929 | ||||||||
\(340\) | 4.10574 | − | 1.10013i | 0.222665 | − | 0.0596629i | ||||
\(341\) | 0.255523 | + | 22.9029i | 0.0138373 | + | 1.24026i | ||||
\(342\) | −1.29380 | + | 0.746977i | −0.0699608 | + | 0.0403919i | ||||
\(343\) | −8.00079 | − | 8.00079i | −0.432002 | − | 0.432002i | ||||
\(344\) | −14.2741 | − | 3.82474i | −0.769609 | − | 0.206216i | ||||
\(345\) | −2.85292 | + | 10.6472i | −0.153596 | + | 0.573229i | ||||
\(346\) | 3.68373 | + | 3.68373i | 0.198039 | + | 0.198039i | ||||
\(347\) | 30.5530 | − | 17.6398i | 1.64017 | − | 0.946953i | 0.659398 | − | 0.751794i | \(-0.270811\pi\) |
0.980772 | − | 0.195159i | \(-0.0625222\pi\) | |||||||
\(348\) | 4.98825 | − | 8.63990i | 0.267398 | − | 0.463147i | ||||
\(349\) | 6.28137 | + | 23.4424i | 0.336234 | + | 1.25484i | 0.902525 | + | 0.430638i | \(0.141711\pi\) |
−0.566291 | + | 0.824206i | \(0.691622\pi\) | |||||||
\(350\) | − | 5.10733i | − | 0.272998i | ||||||
\(351\) | 3.35978 | + | 1.30837i | 0.179332 | + | 0.0698359i | ||||
\(352\) | −7.34026 | − | 12.3923i | −0.391237 | − | 0.660514i | ||||
\(353\) | 3.68953 | + | 13.7695i | 0.196374 | + | 0.732878i | 0.991907 | + | 0.126967i | \(0.0405243\pi\) |
−0.795533 | + | 0.605910i | \(0.792809\pi\) | |||||||
\(354\) | −3.78346 | − | 2.18438i | −0.201089 | − | 0.116099i | ||||
\(355\) | −2.53488 | + | 1.46351i | −0.134537 | + | 0.0776752i | ||||
\(356\) | −18.9829 | + | 18.9829i | −1.00609 | + | 1.00609i | ||||
\(357\) | 3.22224 | + | 0.863396i | 0.170539 | + | 0.0456957i | ||||
\(358\) | 7.60795 | + | 2.03854i | 0.402093 | + | 0.107740i | ||||
\(359\) | −6.70912 | + | 6.70912i | −0.354094 | + | 0.354094i | −0.861630 | − | 0.507536i | \(-0.830556\pi\) |
0.507536 | + | 0.861630i | \(0.330556\pi\) | |||||||
\(360\) | −3.82715 | + | 2.20960i | −0.201708 | + | 0.116456i | ||||
\(361\) | 4.69342 | + | 2.70975i | 0.247022 | + | 0.142618i | ||||
\(362\) | 2.17137 | + | 8.10364i | 0.114124 | + | 0.425918i | ||||
\(363\) | −9.64662 | − | 5.28609i | −0.506316 | − | 0.277448i | ||||
\(364\) | −26.9360 | − | 2.96284i | −1.41183 | − | 0.155295i | ||||
\(365\) | − | 38.4991i | − | 2.01513i | ||||||
\(366\) | 1.12727 | + | 4.20702i | 0.0589232 | + | 0.219905i | ||||
\(367\) | 16.3714 | − | 28.3560i | 0.854579 | − | 1.48017i | −0.0224568 | − | 0.999748i | \(-0.507149\pi\) |
0.877035 | − | 0.480426i | \(-0.159518\pi\) | |||||||
\(368\) | −10.2142 | + | 5.89719i | −0.532453 | + | 0.307412i | ||||
\(369\) | −5.04474 | − | 5.04474i | −0.262619 | − | 0.262619i | ||||
\(370\) | 0.693851 | − | 2.58949i | 0.0360716 | − | 0.134621i | ||||
\(371\) | 15.7297 | + | 4.21477i | 0.816648 | + | 0.218820i | ||||
\(372\) | 8.96391 | + | 8.96391i | 0.464757 | + | 0.464757i | ||||
\(373\) | −2.60807 | + | 1.50577i | −0.135041 | + | 0.0779660i | −0.565999 | − | 0.824406i | \(-0.691509\pi\) |
0.430958 | + | 0.902372i | \(0.358176\pi\) | |||||||
\(374\) | −1.09542 | + | 0.0122213i | −0.0566426 | + | 0.000631949i | ||||
\(375\) | 5.27888 | − | 1.41447i | 0.272600 | − | 0.0730430i | ||||
\(376\) | −12.2851 | −0.633557 | ||||||||
\(377\) | 12.2581 | + | 15.2881i | 0.631327 | + | 0.787378i | ||||
\(378\) | −1.65982 | −0.0853721 | ||||||||
\(379\) | −0.105875 | − | 0.395132i | −0.00543844 | − | 0.0202965i | 0.963153 | − | 0.268953i | \(-0.0866776\pi\) |
−0.968592 | + | 0.248656i | \(0.920011\pi\) | |||||||
\(380\) | −16.6497 | − | 9.61269i | −0.854110 | − | 0.493120i | ||||
\(381\) | −1.79483 | − | 3.10873i | −0.0919518 | − | 0.159265i | ||||
\(382\) | 4.64965 | + | 4.64965i | 0.237897 | + | 0.237897i | ||||
\(383\) | −17.2452 | − | 4.62084i | −0.881189 | − | 0.236114i | −0.210269 | − | 0.977644i | \(-0.567434\pi\) |
−0.670920 | + | 0.741530i | \(0.734101\pi\) | |||||||
\(384\) | −10.0816 | − | 2.70136i | −0.514475 | − | 0.137853i | ||||
\(385\) | 9.57203 | − | 37.3868i | 0.487836 | − | 1.90541i | ||||
\(386\) | 4.92547 | + | 8.53116i | 0.250700 | + | 0.434225i | ||||
\(387\) | −4.75179 | + | 8.23034i | −0.241547 | + | 0.418372i | ||||
\(388\) | 15.4960 | − | 4.15214i | 0.786690 | − | 0.210793i | ||||
\(389\) | 17.4218i | 0.883322i | 0.897182 | + | 0.441661i | \(0.145611\pi\) | ||||
−0.897182 | + | 0.441661i | \(0.854389\pi\) | |||||||
\(390\) | −0.629997 | − | 4.10605i | −0.0319012 | − | 0.207918i | ||||
\(391\) | 3.16008i | 0.159812i | ||||||||
\(392\) | 14.6646 | − | 3.92936i | 0.740673 | − | 0.198463i | ||||
\(393\) | 6.10901 | + | 3.52704i | 0.308159 | + | 0.177915i | ||||
\(394\) | 7.61908 | − | 4.39888i | 0.383844 | − | 0.221612i | ||||
\(395\) | −9.58292 | − | 9.58292i | −0.482169 | − | 0.482169i | ||||
\(396\) | −5.86278 | + | 1.64124i | −0.294616 | + | 0.0824756i | ||||
\(397\) | −4.49773 | + | 16.7858i | −0.225735 | + | 0.842453i | 0.756374 | + | 0.654139i | \(0.226969\pi\) |
−0.982109 | + | 0.188314i | \(0.939698\pi\) | |||||||
\(398\) | −1.90575 | + | 1.90575i | −0.0955267 | + | 0.0955267i | ||||
\(399\) | −7.54416 | − | 13.0669i | −0.377680 | − | 0.654161i | ||||
\(400\) | −8.10345 | − | 4.67853i | −0.405172 | − | 0.233926i | ||||
\(401\) | 1.03360 | − | 0.276953i | 0.0516157 | − | 0.0138304i | −0.232919 | − | 0.972496i | \(-0.574828\pi\) |
0.284534 | + | 0.958666i | \(0.408161\pi\) | |||||||
\(402\) | −1.72506 | −0.0860382 | ||||||||
\(403\) | −22.7957 | + | 10.0175i | −1.13553 | + | 0.499007i | ||||
\(404\) | 7.47609i | 0.371950i | ||||||||
\(405\) | 0.735567 | + | 2.74517i | 0.0365506 | + | 0.136409i | ||||
\(406\) | −7.81232 | − | 4.51044i | −0.387719 | − | 0.223850i | ||||
\(407\) | 3.78381 | − | 6.72594i | 0.187557 | − | 0.333393i | ||||
\(408\) | −0.895848 | + | 0.895848i | −0.0443511 | + | 0.0443511i | ||||
\(409\) | 6.44859 | − | 24.0665i | 0.318862 | − | 1.19001i | −0.601478 | − | 0.798890i | \(-0.705421\pi\) |
0.920340 | − | 0.391120i | \(-0.127912\pi\) | |||||||
\(410\) | −2.12743 | + | 7.93968i | −0.105066 | + | 0.392113i | ||||
\(411\) | 7.68691 | + | 7.68691i | 0.379167 | + | 0.379167i | ||||
\(412\) | 2.30826 | + | 3.99802i | 0.113720 | + | 0.196968i | ||||
\(413\) | 22.0614 | − | 38.2114i | 1.08557 | − | 1.88026i | ||||
\(414\) | −0.406952 | − | 1.51877i | −0.0200006 | − | 0.0746432i | ||||
\(415\) | 22.6469 | 1.11169 | ||||||||
\(416\) | 9.26458 | − | 12.6228i | 0.454233 | − | 0.618883i | ||||
\(417\) | − | 7.62286i | − | 0.373293i | ||||||
\(418\) | 3.54250 | + | 3.46433i | 0.173269 | + | 0.169446i | ||||
\(419\) | −3.42080 | + | 5.92500i | −0.167117 | + | 0.289455i | −0.937405 | − | 0.348241i | \(-0.886779\pi\) |
0.770288 | + | 0.637696i | \(0.220112\pi\) | |||||||
\(420\) | −10.6800 | − | 18.4982i | −0.521129 | − | 0.902621i | ||||
\(421\) | 11.7634 | − | 11.7634i | 0.573313 | − | 0.573313i | −0.359739 | − | 0.933053i | \(-0.617134\pi\) |
0.933053 | + | 0.359739i | \(0.117134\pi\) | |||||||
\(422\) | −7.66665 | − | 2.05427i | −0.373207 | − | 0.100000i | ||||
\(423\) | −2.04483 | + | 7.63141i | −0.0994230 | + | 0.371052i | ||||
\(424\) | −4.37320 | + | 4.37320i | −0.212381 | + | 0.212381i | ||||
\(425\) | −2.17117 | + | 1.25352i | −0.105317 | + | 0.0608049i | ||||
\(426\) | 0.208761 | − | 0.361585i | 0.0101145 | − | 0.0175189i | ||||
\(427\) | −42.4892 | + | 11.3849i | −2.05620 | + | 0.550956i | ||||
\(428\) | 9.95455 | 0.481171 | ||||||||
\(429\) | 1.17478 | − | 11.9004i | 0.0567189 | − | 0.574557i | ||||
\(430\) | 10.9494 | 0.528029 | ||||||||
\(431\) | −14.9754 | + | 4.01264i | −0.721338 | + | 0.193282i | −0.600768 | − | 0.799423i | \(-0.705139\pi\) |
−0.120569 | + | 0.992705i | \(0.538472\pi\) | |||||||
\(432\) | −1.52047 | + | 2.63353i | −0.0731535 | + | 0.126706i | ||||
\(433\) | 8.34486 | − | 4.81791i | 0.401029 | − | 0.231534i | −0.285899 | − | 0.958260i | \(-0.592292\pi\) |
0.686928 | + | 0.726726i | \(0.258959\pi\) | |||||||
\(434\) | 8.10529 | − | 8.10529i | 0.389067 | − | 0.389067i | ||||
\(435\) | −3.99769 | + | 14.9196i | −0.191675 | + | 0.715340i | ||||
\(436\) | −15.1179 | − | 4.05083i | −0.724017 | − | 0.194000i | ||||
\(437\) | 10.1067 | − | 10.1067i | 0.483470 | − | 0.483470i | ||||
\(438\) | 2.74583 | + | 4.75592i | 0.131201 | + | 0.227246i | ||||
\(439\) | −10.6942 | + | 18.5228i | −0.510404 | + | 0.884046i | 0.489523 | + | 0.871990i | \(0.337171\pi\) |
−0.999927 | + | 0.0120558i | \(0.996162\pi\) | |||||||
\(440\) | 10.4789 | + | 10.2477i | 0.499564 | + | 0.488540i | ||||
\(441\) | − | 9.76353i | − | 0.464930i | ||||||
\(442\) | −0.479124 | − | 1.09029i | −0.0227896 | − | 0.0518597i | ||||
\(443\) | 25.5779 | 1.21524 | 0.607622 | − | 0.794226i | \(-0.292123\pi\) | ||||
0.607622 | + | 0.794226i | \(0.292123\pi\) | |||||||
\(444\) | −1.10548 | − | 4.12572i | −0.0524639 | − | 0.195798i | ||||
\(445\) | 20.7817 | − | 35.9950i | 0.985149 | − | 1.70633i | ||||
\(446\) | −1.22520 | − | 2.12211i | −0.0580148 | − | 0.100485i | ||||
\(447\) | −7.09515 | − | 7.09515i | −0.335589 | − | 0.335589i | ||||
\(448\) | 4.57930 | − | 17.0902i | 0.216352 | − | 0.807436i | ||||
\(449\) | 0.642646 | − | 2.39839i | 0.0303283 | − | 0.113187i | −0.949102 | − | 0.314968i | \(-0.898006\pi\) |
0.979431 | + | 0.201781i | \(0.0646729\pi\) | |||||||
\(450\) | 0.882056 | − | 0.882056i | 0.0415805 | − | 0.0415805i | ||||
\(451\) | −11.6016 | + | 20.6226i | −0.546299 | + | 0.971078i | ||||
\(452\) | −14.1646 | − | 8.17791i | −0.666245 | − | 0.384656i | ||||
\(453\) | 5.47438 | + | 20.4307i | 0.257209 | + | 0.959917i | ||||
\(454\) | − | 5.94169i | − | 0.278857i | ||||||
\(455\) | 41.4694 | − | 6.36271i | 1.94412 | − | 0.298289i | ||||
\(456\) | 5.73029 | 0.268345 | ||||||||
\(457\) | −12.5267 | + | 3.35652i | −0.585974 | + | 0.157011i | −0.539612 | − | 0.841914i | \(-0.681429\pi\) |
−0.0463613 | + | 0.998925i | \(0.514763\pi\) | |||||||
\(458\) | −1.30889 | − | 0.755691i | −0.0611606 | − | 0.0353111i | ||||
\(459\) | 0.407381 | + | 0.705605i | 0.0190149 | + | 0.0329348i | ||||
\(460\) | 14.3077 | − | 14.3077i | 0.667099 | − | 0.667099i | ||||
\(461\) | −2.71188 | + | 10.1209i | −0.126305 | + | 0.471376i | −0.999883 | − | 0.0153081i | \(-0.995127\pi\) |
0.873578 | + | 0.486684i | \(0.161794\pi\) | |||||||
\(462\) | 1.48404 | + | 5.30121i | 0.0690436 | + | 0.246635i | ||||
\(463\) | 4.73643 | + | 4.73643i | 0.220121 | + | 0.220121i | 0.808549 | − | 0.588429i | \(-0.200253\pi\) |
−0.588429 | + | 0.808549i | \(0.700253\pi\) | |||||||
\(464\) | −14.3128 | + | 8.26351i | −0.664456 | + | 0.383624i | ||||
\(465\) | −16.9972 | − | 9.81336i | −0.788228 | − | 0.455084i | ||||
\(466\) | 4.95679 | − | 1.32817i | 0.229619 | − | 0.0615262i | ||||
\(467\) | 22.1757i | 1.02617i | 0.858338 | + | 0.513085i | \(0.171497\pi\) | ||||
−0.858338 | + | 0.513085i | \(0.828503\pi\) | |||||||
\(468\) | −4.14027 | − | 5.16366i | −0.191384 | − | 0.238690i | ||||
\(469\) | − | 17.4224i | − | 0.804491i | ||||||
\(470\) | 8.79244 | − | 2.35593i | 0.405565 | − | 0.108671i | ||||
\(471\) | −11.1067 | + | 19.2374i | −0.511770 | + | 0.886411i | ||||
\(472\) | 8.37854 | + | 14.5121i | 0.385653 | + | 0.667971i | ||||
\(473\) | 30.5349 | + | 7.81776i | 1.40400 | + | 0.359461i | ||||
\(474\) | 1.86728 | + | 0.500337i | 0.0857671 | + | 0.0229812i | ||||
\(475\) | 10.9530 | + | 2.93485i | 0.502559 | + | 0.134660i | ||||
\(476\) | −4.33002 | − | 4.33002i | −0.198466 | − | 0.198466i | ||||
\(477\) | 1.98868 | + | 3.44450i | 0.0910555 | + | 0.157713i | ||||
\(478\) | 7.71957 | + | 4.45690i | 0.353085 | + | 0.203854i | ||||
\(479\) | −8.47302 | − | 31.6217i | −0.387142 | − | 1.44483i | −0.834762 | − | 0.550610i | \(-0.814395\pi\) |
0.447620 | − | 0.894224i | \(-0.352272\pi\) | |||||||
\(480\) | 12.3420 | 0.563333 | ||||||||
\(481\) | 8.33921 | + | 0.917276i | 0.380235 | + | 0.0418242i | ||||
\(482\) | 9.52580 | 0.433889 | ||||||||
\(483\) | 15.3389 | − | 4.11005i | 0.697944 | − | 0.187014i | ||||
\(484\) | 10.4837 | + | 17.2574i | 0.476533 | + | 0.784425i | ||||
\(485\) | −21.5100 | + | 12.4188i | −0.976721 | + | 0.563910i | ||||
\(486\) | −0.286658 | − | 0.286658i | −0.0130031 | − | 0.0130031i | ||||
\(487\) | −2.40652 | − | 0.644825i | −0.109050 | − | 0.0292198i | 0.203881 | − | 0.978996i | \(-0.434644\pi\) |
−0.312931 | + | 0.949776i | \(0.601311\pi\) | |||||||
\(488\) | 4.32381 | − | 16.1367i | 0.195730 | − | 0.730473i | ||||
\(489\) | −9.43065 | − | 9.43065i | −0.426469 | − | 0.426469i | ||||
\(490\) | −9.74188 | + | 5.62448i | −0.440093 | + | 0.254088i | ||||
\(491\) | −8.28373 | + | 14.3478i | −0.373839 | + | 0.647509i | −0.990153 | − | 0.139992i | \(-0.955292\pi\) |
0.616313 | + | 0.787501i | \(0.288626\pi\) | |||||||
\(492\) | 3.38954 | + | 12.6499i | 0.152812 | + | 0.570304i | ||||
\(493\) | 4.42811i | 0.199432i | ||||||||
\(494\) | −1.95465 | + | 5.01936i | −0.0879439 | + | 0.225832i | ||||
\(495\) | 8.10997 | − | 4.80372i | 0.364516 | − | 0.215911i | ||||
\(496\) | −5.43532 | − | 20.2849i | −0.244053 | − | 0.910819i | ||||
\(497\) | 3.65186 | + | 2.10840i | 0.163808 | + | 0.0945748i | ||||
\(498\) | −2.79764 | + | 1.61522i | −0.125365 | + | 0.0723797i | ||||
\(499\) | −30.2590 | + | 30.2590i | −1.35458 | + | 1.35458i | −0.474116 | + | 0.880462i | \(0.657232\pi\) |
−0.880462 | + | 0.474116i | \(0.842768\pi\) | |||||||
\(500\) | −9.69020 | − | 2.59648i | −0.433359 | − | 0.116118i | ||||
\(501\) | 16.8514 | + | 4.51531i | 0.752863 | + | 0.201729i | ||||
\(502\) | 0.550522 | − | 0.550522i | 0.0245710 | − | 0.0245710i | ||||
\(503\) | 14.8715 | − | 8.58605i | 0.663087 | − | 0.382833i | −0.130365 | − | 0.991466i | \(-0.541615\pi\) |
0.793452 | + | 0.608633i | \(0.208282\pi\) | |||||||
\(504\) | 5.51356 | + | 3.18326i | 0.245593 | + | 0.141793i | ||||
\(505\) | −2.99575 | − | 11.1803i | −0.133309 | − | 0.497517i | ||||
\(506\) | −4.48684 | + | 2.65765i | −0.199464 | + | 0.118147i | ||||
\(507\) | 12.4020 | − | 3.89747i | 0.550792 | − | 0.173093i | ||||
\(508\) | 6.58937i | 0.292356i | ||||||||
\(509\) | 6.27542 | + | 23.4202i | 0.278153 | + | 1.03808i | 0.953699 | + | 0.300764i | \(0.0972416\pi\) |
−0.675545 | + | 0.737318i | \(0.736092\pi\) | |||||||
\(510\) | 0.469360 | − | 0.812955i | 0.0207836 | − | 0.0359983i | ||||
\(511\) | −48.0328 | + | 27.7317i | −2.12484 | + | 1.22678i | ||||
\(512\) | 16.0251 | + | 16.0251i | 0.708216 | + | 0.708216i | ||||
\(513\) | 0.953793 | − | 3.55960i | 0.0421110 | − | 0.157160i | ||||
\(514\) | 8.00053 | + | 2.14373i | 0.352888 | + | 0.0945561i | ||||
\(515\) | −5.05399 | − | 5.05399i | −0.222706 | − | 0.222706i | ||||
\(516\) | 15.1081 | − | 8.72264i | 0.665095 | − | 0.383993i | ||||
\(517\) | 26.2017 | − | 0.292327i | 1.15235 | − | 0.0128565i | ||||
\(518\) | −3.73053 | + | 0.999592i | −0.163910 | + | 0.0439196i | ||||
\(519\) | −12.8506 | −0.564079 | ||||||||
\(520\) | −5.78198 | + | 14.8476i | −0.253557 | + | 0.651110i | ||||
\(521\) | −20.9463 | −0.917672 | −0.458836 | − | 0.888521i | \(-0.651733\pi\) | ||||
−0.458836 | + | 0.888521i | \(0.651733\pi\) | |||||||
\(522\) | −0.570247 | − | 2.12819i | −0.0249590 | − | 0.0931483i | ||||
\(523\) | −23.3421 | − | 13.4766i | −1.02068 | − | 0.589290i | −0.106379 | − | 0.994326i | \(-0.533926\pi\) |
−0.914301 | + | 0.405035i | \(0.867259\pi\) | |||||||
\(524\) | −6.47442 | − | 11.2140i | −0.282836 | − | 0.489887i | ||||
\(525\) | 8.90840 | + | 8.90840i | 0.388795 | + | 0.388795i | ||||
\(526\) | −1.76346 | − | 0.472517i | −0.0768903 | − | 0.0206027i | ||||
\(527\) | −5.43496 | − | 1.45629i | −0.236751 | − | 0.0634371i | ||||
\(528\) | 9.77050 | + | 2.50151i | 0.425206 | + | 0.108864i | ||||
\(529\) | −3.97848 | − | 6.89094i | −0.172978 | − | 0.299606i | ||||
\(530\) | 2.29124 | − | 3.96854i | 0.0995250 | − | 0.172382i | ||||
\(531\) | 10.4093 | − | 2.78917i | 0.451727 | − | 0.121040i | ||||
\(532\) | 27.6969i | 1.20081i | ||||||||
\(533\) | −25.5690 | − | 2.81248i | −1.10752 | − | 0.121822i | ||||
\(534\) | 5.92878i | 0.256563i | ||||||||
\(535\) | −14.8868 | + | 3.98890i | −0.643611 | + | 0.172455i | ||||
\(536\) | 5.73026 | + | 3.30837i | 0.247510 | + | 0.142900i | ||||
\(537\) | −16.8258 | + | 9.71437i | −0.726086 | + | 0.419206i | ||||
\(538\) | 0.864044 | + | 0.864044i | 0.0372516 | + | 0.0372516i | ||||
\(539\) | −31.1831 | + | 8.72950i | −1.34315 | + | 0.376006i | ||||
\(540\) | 1.35025 | − | 5.03919i | 0.0581054 | − | 0.216852i | ||||
\(541\) | 16.8496 | − | 16.8496i | 0.724420 | − | 0.724420i | −0.245082 | − | 0.969502i | \(-0.578815\pi\) |
0.969502 | + | 0.245082i | \(0.0788150\pi\) | |||||||
\(542\) | −0.942203 | − | 1.63194i | −0.0404711 | − | 0.0700980i | ||||
\(543\) | −17.9221 | − | 10.3473i | −0.769109 | − | 0.444046i | ||||
\(544\) | 3.41770 | − | 0.915771i | 0.146533 | − | 0.0392633i | ||||
\(545\) | 24.2317 | 1.03797 | ||||||||
\(546\) | −4.66905 | + | 3.74369i | −0.199817 | + | 0.160215i | ||||
\(547\) | − | 4.70387i | − | 0.201123i | −0.994931 | − | 0.100561i | \(-0.967936\pi\) | ||
0.994931 | − | 0.100561i | \(-0.0320639\pi\) | |||||||
\(548\) | −5.16481 | − | 19.2753i | −0.220630 | − | 0.823401i | ||||
\(549\) | −9.30427 | − | 5.37182i | −0.397097 | − | 0.229264i | ||||
\(550\) | −3.60578 | − | 2.02850i | −0.153751 | − | 0.0864957i | ||||
\(551\) | 14.1622 | − | 14.1622i | 0.603329 | − | 0.603329i | ||||
\(552\) | −1.56093 | + | 5.82546i | −0.0664375 | + | 0.247948i | ||||
\(553\) | −5.05319 | + | 18.8588i | −0.214884 | + | 0.801957i | ||||
\(554\) | 2.31875 | + | 2.31875i | 0.0985143 | + | 0.0985143i | ||||
\(555\) | 3.30644 | + | 5.72692i | 0.140351 | + | 0.243094i | ||||
\(556\) | −6.99647 | + | 12.1182i | −0.296716 | + | 0.513928i | ||||
\(557\) | 4.09358 | + | 15.2774i | 0.173450 | + | 0.647325i | 0.996810 | + | 0.0798061i | \(0.0254301\pi\) |
−0.823360 | + | 0.567519i | \(0.807903\pi\) | |||||||
\(558\) | 2.79963 | 0.118518 | ||||||||
\(559\) | 5.19662 | + | 33.8693i | 0.219793 | + | 1.43252i | ||||
\(560\) | 35.3847i | 1.49528i | ||||||||
\(561\) | 1.88935 | − | 1.93198i | 0.0797685 | − | 0.0815685i | ||||
\(562\) | 3.37787 | − | 5.85064i | 0.142487 | − | 0.246794i | ||||
\(563\) | −11.1080 | − | 19.2397i | −0.468148 | − | 0.810856i | 0.531190 | − | 0.847253i | \(-0.321745\pi\) |
−0.999337 | + | 0.0363972i | \(0.988412\pi\) | |||||||
\(564\) | 10.2550 | − | 10.2550i | 0.431814 | − | 0.431814i | ||||
\(565\) | 24.4597 | + | 6.55396i | 1.02903 | + | 0.275727i | ||||
\(566\) | 1.21667 | − | 4.54069i | 0.0511406 | − | 0.190859i | ||||
\(567\) | 2.89513 | − | 2.89513i | 0.121584 | − | 0.121584i | ||||
\(568\) | −1.38692 | + | 0.800736i | −0.0581937 | + | 0.0335982i | ||||
\(569\) | −18.7671 | + | 32.5056i | −0.786759 | + | 1.36271i | 0.141184 | + | 0.989983i | \(0.454909\pi\) |
−0.927943 | + | 0.372723i | \(0.878424\pi\) | |||||||
\(570\) | −4.10116 | + | 1.09890i | −0.171779 | + | 0.0460280i | ||||
\(571\) | 4.41199 | 0.184636 | 0.0923181 | − | 0.995730i | \(-0.470572\pi\) | ||||
0.0923181 | + | 0.995730i | \(0.470572\pi\) | |||||||
\(572\) | −12.7901 | + | 17.8401i | −0.534781 | + | 0.745933i | ||||
\(573\) | −16.2202 | −0.677609 | ||||||||
\(574\) | 11.4383 | − | 3.06487i | 0.477423 | − | 0.127925i | ||||
\(575\) | −5.96719 | + | 10.3355i | −0.248849 | + | 0.431019i | ||||
\(576\) | 3.74241 | − | 2.16068i | 0.155934 | − | 0.0900283i | ||||
\(577\) | 25.6639 | − | 25.6639i | 1.06840 | − | 1.06840i | 0.0709204 | − | 0.997482i | \(-0.477406\pi\) |
0.997482 | − | 0.0709204i | \(-0.0225936\pi\) | |||||||
\(578\) | −1.71406 | + | 6.39695i | −0.0712954 | + | 0.266078i | ||||
\(579\) | −23.4716 | − | 6.28919i | −0.975445 | − | 0.261370i | ||||
\(580\) | 20.0488 | − | 20.0488i | 0.832483 | − | 0.832483i | ||||
\(581\) | −16.3130 | − | 28.2550i | −0.676779 | − | 1.17222i | ||||
\(582\) | 1.77147 | − | 3.06828i | 0.0734298 | − | 0.127184i | ||||
\(583\) | 9.22310 | − | 9.43122i | 0.381982 | − | 0.390601i | ||||
\(584\) | − | 21.0641i | − | 0.871639i | ||||||
\(585\) | 8.26079 | + | 6.06306i | 0.341542 | + | 0.250677i | ||||
\(586\) | −9.83035 | −0.406088 | ||||||||
\(587\) | −11.3887 | − | 42.5032i | −0.470061 | − | 1.75429i | −0.639538 | − | 0.768759i | \(-0.720874\pi\) |
0.169477 | − | 0.985534i | \(-0.445792\pi\) | |||||||
\(588\) | −8.96124 | + | 15.5213i | −0.369555 | + | 0.640088i | ||||
\(589\) | 12.7248 | + | 22.0399i | 0.524315 | + | 0.908140i | ||||
\(590\) | −8.77950 | − | 8.77950i | −0.361446 | − | 0.361446i | ||||
\(591\) | −5.61680 | + | 20.9622i | −0.231044 | + | 0.862269i | ||||
\(592\) | −1.83134 | + | 6.83464i | −0.0752675 | + | 0.280902i | ||||
\(593\) | −20.3525 | + | 20.3525i | −0.835778 | + | 0.835778i | −0.988300 | − | 0.152522i | \(-0.951261\pi\) |
0.152522 | + | 0.988300i | \(0.451261\pi\) | |||||||
\(594\) | −0.659241 | + | 1.17184i | −0.0270490 | + | 0.0480811i | ||||
\(595\) | 8.21051 | + | 4.74034i | 0.336598 | + | 0.194335i | ||||
\(596\) | 4.76720 | + | 17.7914i | 0.195272 | + | 0.728766i | ||||
\(597\) | − | 6.64817i | − | 0.272091i | ||||||
\(598\) | −4.57028 | − | 3.35439i | −0.186893 | − | 0.137171i | ||||
\(599\) | −7.10192 | −0.290177 | −0.145088 | − | 0.989419i | \(-0.546347\pi\) | ||||
−0.145088 | + | 0.989419i | \(0.546347\pi\) | |||||||
\(600\) | −4.62162 | + | 1.23836i | −0.188677 | + | 0.0505558i | ||||
\(601\) | −15.5542 | − | 8.98021i | −0.634468 | − | 0.366310i | 0.148012 | − | 0.988986i | \(-0.452712\pi\) |
−0.782480 | + | 0.622675i | \(0.786046\pi\) | |||||||
\(602\) | −7.88713 | − | 13.6609i | −0.321455 | − | 0.556777i | ||||
\(603\) | 3.00892 | − | 3.00892i | 0.122533 | − | 0.122533i | ||||
\(604\) | 10.0491 | − | 37.5037i | 0.408891 | − | 1.52600i | ||||
\(605\) | −22.5934 | − | 21.6070i | −0.918551 | − | 0.878448i | ||||
\(606\) | 1.16748 | + | 1.16748i | 0.0474255 | + | 0.0474255i | ||||
\(607\) | 7.54902 | − | 4.35843i | 0.306405 | − | 0.176903i | −0.338912 | − | 0.940818i | \(-0.610059\pi\) |
0.645317 | + | 0.763915i | \(0.276725\pi\) | |||||||
\(608\) | −13.8595 | − | 8.00180i | −0.562078 | − | 0.324516i | ||||
\(609\) | 21.4938 | − | 5.75926i | 0.870974 | − | 0.233377i | ||||
\(610\) | 12.3782i | 0.501178i | ||||||||
\(611\) | 11.4604 | + | 26.0790i | 0.463637 | + | 1.05504i | ||||
\(612\) | − | 1.49562i | − | 0.0604569i | ||||||
\(613\) | −4.81573 | + | 1.29037i | −0.194506 | + | 0.0521176i | −0.354757 | − | 0.934959i | \(-0.615436\pi\) |
0.160251 | + | 0.987076i | \(0.448770\pi\) | |||||||
\(614\) | −3.24926 | + | 5.62788i | −0.131129 | + | 0.227123i | ||||
\(615\) | −10.1379 | − | 17.5594i | −0.408801 | − | 0.708065i | ||||
\(616\) | 5.23717 | − | 20.4555i | 0.211012 | − | 0.824177i | ||||
\(617\) | 32.7446 | + | 8.77389i | 1.31825 | + | 0.353223i | 0.848321 | − | 0.529482i | \(-0.177614\pi\) |
0.469926 | + | 0.882706i | \(0.344280\pi\) | |||||||
\(618\) | 0.984797 | + | 0.263876i | 0.0396143 | + | 0.0106146i | ||||
\(619\) | −30.6722 | − | 30.6722i | −1.23282 | − | 1.23282i | −0.962877 | − | 0.269942i | \(-0.912996\pi\) |
−0.269942 | − | 0.962877i | \(-0.587004\pi\) | |||||||
\(620\) | 18.0139 | + | 31.2010i | 0.723457 | + | 1.25306i | ||||
\(621\) | 3.35891 | + | 1.93927i | 0.134788 | + | 0.0778201i | ||||
\(622\) | −0.802060 | − | 2.99333i | −0.0321597 | − | 0.120022i | ||||
\(623\) | −59.8782 | −2.39897 | ||||||||
\(624\) | 1.66280 | + | 10.8374i | 0.0665654 | + | 0.433844i | ||||
\(625\) | 30.9170 | 1.23668 | ||||||||
\(626\) | 4.16703 | − | 1.11655i | 0.166548 | − | 0.0446264i | ||||
\(627\) | −12.2216 | + | 0.136353i | −0.488083 | + | 0.00544543i | ||||
\(628\) | 35.3132 | − | 20.3881i | 1.40915 | − | 0.813572i | ||||
\(629\) | 1.34054 | + | 1.34054i | 0.0534509 | + | 0.0534509i | ||||
\(630\) | −4.55650 | − | 1.22091i | −0.181535 | − | 0.0486423i | ||||
\(631\) | 10.2920 | − | 38.4104i | 0.409720 | − | 1.52909i | −0.385463 | − | 0.922723i | \(-0.625958\pi\) |
0.795182 | − | 0.606371i | \(-0.207375\pi\) | |||||||
\(632\) | −5.24313 | − | 5.24313i | −0.208561 | − | 0.208561i | ||||
\(633\) | 16.9556 | − | 9.78932i | 0.673925 | − | 0.389091i | ||||
\(634\) | −4.44312 | + | 7.69572i | −0.176459 | + | 0.305636i | ||||
\(635\) | −2.64043 | − | 9.85422i | −0.104782 | − | 0.391053i | ||||
\(636\) | − | 7.30106i | − | 0.289506i | ||||||
\(637\) | −22.0214 | − | 27.4646i | −0.872519 | − | 1.08819i | ||||
\(638\) | −6.28724 | + | 3.72407i | −0.248914 | + | 0.147437i | ||||
\(639\) | 0.266561 | + | 0.994820i | 0.0105450 | + | 0.0393545i | ||||
\(640\) | −25.6887 | − | 14.8314i | −1.01544 | − | 0.586263i | ||||
\(641\) | −18.5437 | + | 10.7062i | −0.732433 | + | 0.422870i | −0.819311 | − | 0.573349i | \(-0.805644\pi\) |
0.0868788 | + | 0.996219i | \(0.472311\pi\) | |||||||
\(642\) | 1.55451 | − | 1.55451i | 0.0613518 | − | 0.0613518i | ||||
\(643\) | 23.1088 | + | 6.19199i | 0.911324 | + | 0.244188i | 0.683873 | − | 0.729601i | \(-0.260294\pi\) |
0.227451 | + | 0.973790i | \(0.426961\pi\) | |||||||
\(644\) | −28.1569 | − | 7.54462i | −1.10954 | − | 0.297300i | ||||
\(645\) | −19.0984 | + | 19.0984i | −0.752000 | + | 0.752000i | ||||
\(646\) | −1.05414 | + | 0.608608i | −0.0414746 | + | 0.0239454i | ||||
\(647\) | 40.4881 | + | 23.3758i | 1.59175 | + | 0.918998i | 0.993007 | + | 0.118059i | \(0.0376672\pi\) |
0.598745 | + | 0.800940i | \(0.295666\pi\) | |||||||
\(648\) | 0.402453 | + | 1.50197i | 0.0158098 | + | 0.0590031i | ||||
\(649\) | −18.2151 | − | 30.7520i | −0.715004 | − | 1.20712i | ||||
\(650\) | 0.491752 | − | 4.47066i | 0.0192881 | − | 0.175354i | ||||
\(651\) | 28.2751i | 1.10819i | ||||||||
\(652\) | 6.33642 | + | 23.6478i | 0.248153 | + | 0.926121i | ||||
\(653\) | 13.1820 | − | 22.8319i | 0.515851 | − | 0.893480i | −0.483980 | − | 0.875079i | \(-0.660809\pi\) |
0.999831 | − | 0.0184010i | \(-0.00585755\pi\) | |||||||
\(654\) | −2.99342 | + | 1.72825i | −0.117052 | + | 0.0675799i | ||||
\(655\) | 14.1759 | + | 14.1759i | 0.553899 | + | 0.553899i | ||||
\(656\) | 5.61510 | − | 20.9558i | 0.219233 | − | 0.818188i | ||||
\(657\) | −13.0848 | − | 3.50607i | −0.510488 | − | 0.136785i | ||||
\(658\) | −9.27273 | − | 9.27273i | −0.361489 | − | 0.361489i | ||||
\(659\) | 1.77308 | − | 1.02369i | 0.0690695 | − | 0.0398773i | −0.465068 | − | 0.885275i | \(-0.653970\pi\) |
0.534137 | + | 0.845398i | \(0.320637\pi\) | |||||||
\(660\) | −17.3016 | + | 0.193030i | −0.673464 | + | 0.00751368i | ||||
\(661\) | 10.2379 | − | 2.74324i | 0.398209 | − | 0.106700i | −0.0541564 | − | 0.998532i | \(-0.517247\pi\) |
0.452365 | + | 0.891833i | \(0.350580\pi\) | |||||||
\(662\) | 0.631267 | 0.0245349 | ||||||||
\(663\) | 2.73743 | + | 1.06601i | 0.106313 | + | 0.0414006i | ||||
\(664\) | 12.3908 | 0.480858 | ||||||||
\(665\) | −11.0985 | − | 41.4200i | −0.430380 | − | 1.60620i | ||||
\(666\) | −0.816911 | − | 0.471644i | −0.0316546 | − | 0.0182758i | ||||
\(667\) | 10.5396 | + | 18.2552i | 0.408096 | + | 0.706843i | ||||
\(668\) | −22.6447 | − | 22.6447i | −0.876151 | − | 0.876151i | ||||
\(669\) | 5.83849 | + | 1.56442i | 0.225729 | + | 0.0604840i | ||||
\(670\) | −4.73559 | − | 1.26890i | −0.182952 | − | 0.0490218i | ||||
\(671\) | −8.83786 | + | 34.5192i | −0.341182 | + | 1.33260i | ||||
\(672\) | −8.89022 | − | 15.3983i | −0.342948 | − | 0.594003i | ||||
\(673\) | 4.53777 | − | 7.85965i | 0.174918 | − | 0.302967i | −0.765215 | − | 0.643775i | \(-0.777367\pi\) |
0.940133 | + | 0.340808i | \(0.110701\pi\) | |||||||
\(674\) | −8.45866 | + | 2.26649i | −0.325815 | + | 0.0873020i | ||||
\(675\) | 3.07703i | 0.118435i | ||||||||
\(676\) | −23.2930 | − | 5.18700i | −0.895883 | − | 0.199500i | ||||
\(677\) | − | 24.9170i | − | 0.957636i | −0.877914 | − | 0.478818i | \(-0.841065\pi\) | ||
0.877914 | − | 0.478818i | \(-0.158935\pi\) | |||||||
\(678\) | −3.48903 | + | 0.934882i | −0.133995 | + | 0.0359039i | ||||
\(679\) | 30.9883 | + | 17.8911i | 1.18922 | + | 0.686598i | ||||
\(680\) | −3.11821 | + | 1.80030i | −0.119578 | + | 0.0690384i | ||||
\(681\) | 10.3637 | + | 10.3637i | 0.397139 | + | 0.397139i | ||||
\(682\) | −2.50313 | − | 8.94157i | −0.0958498 | − | 0.342390i | ||||
\(683\) | 1.31828 | − | 4.91990i | 0.0504427 | − | 0.188255i | −0.936107 | − | 0.351715i | \(-0.885599\pi\) |
0.986550 | + | 0.163460i | \(0.0522654\pi\) | |||||||
\(684\) | −4.78337 | + | 4.78337i | −0.182897 | + | 0.182897i | ||||
\(685\) | 15.4477 | + | 26.7561i | 0.590225 | + | 1.02230i | ||||
\(686\) | 3.97244 | + | 2.29349i | 0.151669 | + | 0.0875659i | ||||
\(687\) | 3.60113 | − | 0.964920i | 0.137392 | − | 0.0368140i | ||||
\(688\) | −28.8998 | −1.10179 | ||||||||
\(689\) | 13.3631 | + | 5.20388i | 0.509093 | + | 0.198252i | ||||
\(690\) | − | 4.46861i | − | 0.170117i | ||||||
\(691\) | −12.9353 | − | 48.2753i | −0.492083 | − | 1.83648i | −0.545788 | − | 0.837924i | \(-0.683769\pi\) |
0.0537042 | − | 0.998557i | \(-0.482897\pi\) | |||||||
\(692\) | 20.4289 | + | 11.7946i | 0.776590 | + | 0.448365i | ||||
\(693\) | −11.8351 | − | 6.65806i | −0.449578 | − | 0.252919i | ||||
\(694\) | −10.1132 | + | 10.1132i | −0.383891 | + | 0.383891i | ||||
\(695\) | 5.60712 | − | 20.9261i | 0.212690 | − | 0.793771i | ||||
\(696\) | −2.18727 | + | 8.16300i | −0.0829082 | + | 0.309418i | ||||
\(697\) | −4.11026 | − | 4.11026i | −0.155687 | − | 0.155687i | ||||
\(698\) | −4.91935 | − | 8.52056i | −0.186200 | − | 0.322508i | ||||
\(699\) | −6.32918 | + | 10.9625i | −0.239392 | + | 0.414639i | ||||
\(700\) | −5.98552 | − | 22.3383i | −0.226231 | − | 0.844307i | ||||
\(701\) | −8.59749 | −0.324723 | −0.162361 | − | 0.986731i | \(-0.551911\pi\) | ||||
−0.162361 | + | 0.986731i | \(0.551911\pi\) | |||||||
\(702\) | −1.45291 | − | 0.159814i | −0.0548366 | − | 0.00603178i | ||||
\(703\) | − | 8.57477i | − | 0.323404i | ||||||
\(704\) | −10.2469 | − | 10.0208i | −0.386195 | − | 0.377673i | ||||
\(705\) | −11.2268 | + | 19.4454i | −0.422826 | + | 0.732357i | ||||
\(706\) | −2.88951 | − | 5.00478i | −0.108748 | − | 0.188357i | ||||
\(707\) | −11.7910 | + | 11.7910i | −0.443447 | + | 0.443447i | ||||
\(708\) | −19.1080 | − | 5.11996i | −0.718121 | − | 0.192420i | ||||
\(709\) | −10.5778 | + | 39.4768i | −0.397257 | + | 1.48258i | 0.420645 | + | 0.907225i | \(0.361804\pi\) |
−0.817902 | + | 0.575358i | \(0.804863\pi\) | |||||||
\(710\) | 0.839056 | − | 0.839056i | 0.0314892 | − | 0.0314892i | ||||
\(711\) | −4.12969 | + | 2.38428i | −0.154876 | + | 0.0894174i | ||||
\(712\) | 11.3704 | − | 19.6941i | 0.426123 | − | 0.738066i | ||||
\(713\) | −25.8722 | + | 6.93243i | −0.968921 | + | 0.259622i | ||||
\(714\) | −1.35236 | −0.0506109 | ||||||||
\(715\) | 11.9785 | − | 31.8046i | 0.447971 | − | 1.18942i | ||||
\(716\) | 35.6645 | 1.33284 | ||||||||
\(717\) | −21.2387 | + | 5.69088i | −0.793173 | + | 0.212530i | ||||
\(718\) | 1.92322 | − | 3.33112i | 0.0717741 | − | 0.124316i | ||||
\(719\) | 9.22484 | − | 5.32596i | 0.344028 | − | 0.198625i | −0.318024 | − | 0.948083i | \(-0.603019\pi\) |
0.662052 | + | 0.749458i | \(0.269686\pi\) | |||||||
\(720\) | −6.11108 | + | 6.11108i | −0.227747 | + | 0.227747i | ||||
\(721\) | −2.66503 | + | 9.94604i | −0.0992510 | + | 0.370410i | ||||
\(722\) | −2.12218 | − | 0.568636i | −0.0789793 | − | 0.0211624i | ||||
\(723\) | −16.6153 | + | 16.6153i | −0.617929 | + | 0.617929i | ||||
\(724\) | 18.9941 | + | 32.8987i | 0.705910 | + | 1.22267i | ||||
\(725\) | −8.36160 | + | 14.4827i | −0.310542 | + | 0.537874i | ||||
\(726\) | 4.33208 | + | 1.05778i | 0.160779 | + | 0.0392578i | ||||
\(727\) | 9.87894i | 0.366390i | 0.983077 | + | 0.183195i | \(0.0586439\pi\) | ||||
−0.983077 | + | 0.183195i | \(0.941356\pi\) | |||||||
\(728\) | 22.6893 | − | 3.48125i | 0.840920 | − | 0.129024i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 4.03948 | + | 15.0755i | 0.149508 | + | 0.557971i | ||||
\(731\) | −3.87158 | + | 6.70577i | −0.143195 | + | 0.248022i | ||||
\(732\) | 9.86081 | + | 17.0794i | 0.364466 | + | 0.631274i | ||||
\(733\) | −7.78756 | − | 7.78756i | −0.287640 | − | 0.287640i | 0.548506 | − | 0.836146i | \(-0.315197\pi\) |
−0.836146 | + | 0.548506i | \(0.815197\pi\) | |||||||
\(734\) | −3.43550 | + | 12.8215i | −0.126807 | + | 0.473249i | ||||
\(735\) | 7.18173 | − | 26.8026i | 0.264902 | − | 0.988628i | ||||
\(736\) | 11.9100 | − | 11.9100i | 0.439009 | − | 0.439009i | ||||
\(737\) | −12.3002 | − | 6.91974i | −0.453085 | − | 0.254892i | ||||
\(738\) | 2.50475 | + | 1.44612i | 0.0922010 | + | 0.0532323i | ||||
\(739\) | −1.41605 | − | 5.28476i | −0.0520902 | − | 0.194403i | 0.934978 | − | 0.354707i | \(-0.115419\pi\) |
−0.987068 | + | 0.160304i | \(0.948753\pi\) | |||||||
\(740\) | − | 12.1390i | − | 0.446237i | ||||||
\(741\) | −5.34559 | − | 12.1643i | −0.196375 | − | 0.446868i | ||||
\(742\) | −6.60172 | −0.242357 | ||||||||
\(743\) | 19.8362 | − | 5.31509i | 0.727719 | − | 0.194992i | 0.124106 | − | 0.992269i | \(-0.460394\pi\) |
0.603613 | + | 0.797277i | \(0.293727\pi\) | |||||||
\(744\) | −9.29975 | − | 5.36921i | −0.340945 | − | 0.196845i | ||||
\(745\) | −14.2585 | − | 24.6964i | −0.522389 | − | 0.904805i | ||||
\(746\) | 0.863284 | − | 0.863284i | 0.0316071 | − | 0.0316071i | ||||
\(747\) | 2.06243 | − | 7.69708i | 0.0754602 | − | 0.281621i | ||||
\(748\) | −4.77677 | + | 1.33722i | −0.174656 | + | 0.0488937i | ||||
\(749\) | 15.7000 | + | 15.7000i | 0.573664 | + | 0.573664i | ||||
\(750\) | −1.91870 | + | 1.10776i | −0.0700611 | + | 0.0404498i | ||||
\(751\) | −11.4288 | − | 6.59844i | −0.417044 | − | 0.240780i | 0.276768 | − | 0.960937i | \(-0.410737\pi\) |
−0.693812 | + | 0.720156i | \(0.744070\pi\) | |||||||
\(752\) | −23.2066 | + | 6.21819i | −0.846258 | + | 0.226754i | ||||
\(753\) | 1.92048i | 0.0699863i | ||||||||
\(754\) | −6.40416 | − | 4.70038i | −0.233226 | − | 0.171178i | ||||
\(755\) | 60.1125i | 2.18772i | ||||||||
\(756\) | −7.25968 | + | 1.94523i | −0.264032 | + | 0.0707472i | ||||
\(757\) | 1.43465 | − | 2.48488i | 0.0521431 | − | 0.0903144i | −0.838776 | − | 0.544477i | \(-0.816728\pi\) |
0.890919 | + | 0.454163i | \(0.150061\pi\) | |||||||
\(758\) | 0.0829177 | + | 0.143618i | 0.00301171 | + | 0.00521643i | ||||
\(759\) | 3.19053 | − | 12.4617i | 0.115809 | − | 0.452331i | ||||
\(760\) | 15.7306 | + | 4.21501i | 0.570610 | + | 0.152895i | ||||
\(761\) | 43.9456 | + | 11.7752i | 1.59303 | + | 0.426850i | 0.942927 | − | 0.332999i | \(-0.108061\pi\) |
0.650099 | + | 0.759850i | \(0.274727\pi\) | |||||||
\(762\) | 1.02900 | + | 1.02900i | 0.0372769 | + | 0.0372769i | ||||
\(763\) | −17.4546 | − | 30.2323i | −0.631899 | − | 1.09448i | ||||
\(764\) | 25.7856 | + | 14.8874i | 0.932892 | + | 0.538605i | ||||
\(765\) | 0.599312 | + | 2.23666i | 0.0216682 | + | 0.0808667i | ||||
\(766\) | 7.23775 | 0.261511 | ||||||||
\(767\) | 22.9903 | − | 31.3239i | 0.830133 | − | 1.13104i | ||||
\(768\) | −4.41150 | −0.159186 | ||||||||
\(769\) | −9.50710 | + | 2.54742i | −0.342835 | + | 0.0918623i | −0.426128 | − | 0.904663i | \(-0.640123\pi\) |
0.0832935 | + | 0.996525i | \(0.473456\pi\) | |||||||
\(770\) | 0.174540 | + | 15.6443i | 0.00629000 | + | 0.563783i | ||||
\(771\) | −17.6940 | + | 10.2156i | −0.637234 | + | 0.367907i | ||||
\(772\) | 31.5409 | + | 31.5409i | 1.13518 | + | 1.13518i | ||||
\(773\) | 27.5842 | + | 7.39115i | 0.992133 | + | 0.265841i | 0.718146 | − | 0.695892i | \(-0.244991\pi\) |
0.273987 | + | 0.961733i | \(0.411658\pi\) | |||||||
\(774\) | 0.997154 | − | 3.72143i | 0.0358420 | − | 0.133764i | ||||
\(775\) | −15.0258 | − | 15.0258i | −0.539744 | − | 0.539744i | ||||
\(776\) | −11.7688 | + | 6.79475i | −0.422477 | + | 0.243917i | ||||
\(777\) | 4.76340 | − | 8.25046i | 0.170886 | − | 0.295984i | ||||
\(778\) | −1.82797 | − | 6.82208i | −0.0655360 | − | 0.244584i | ||||
\(779\) | 26.2913i | 0.941983i | ||||||||
\(780\) | −7.56753 | − | 17.2206i | −0.270961 | − | 0.616595i | ||||
\(781\) | 2.93896 | − | 1.74081i | 0.105164 | − | 0.0622912i | ||||
\(782\) | −0.331569 | − | 1.23743i | −0.0118569 | − | 0.0442505i | ||||
\(783\) | 4.70672 | + | 2.71742i | 0.168204 | + | 0.0971128i | ||||
\(784\) | 25.7125 | − | 14.8451i | 0.918305 | − | 0.530183i | ||||
\(785\) | −44.6402 | + | 44.6402i | −1.59328 | + | 1.59328i | ||||
\(786\) | −2.76225 | − | 0.740143i | −0.0985262 | − | 0.0264000i | ||||
\(787\) | −9.31415 | − | 2.49572i | −0.332014 | − | 0.0889628i | 0.0889612 | − | 0.996035i | \(-0.471645\pi\) |
−0.420975 | + | 0.907072i | \(0.638312\pi\) | |||||||
\(788\) | 28.1688 | − | 28.1688i | 1.00347 | − | 1.00347i | ||||
\(789\) | 3.90007 | − | 2.25171i | 0.138846 | − | 0.0801629i | ||||
\(790\) | 4.75798 | + | 2.74702i | 0.169281 | + | 0.0977346i | ||||
\(791\) | −9.44192 | − | 35.2377i | −0.335716 | − | 1.25291i | ||||
\(792\) | 4.43723 | − | 2.62827i | 0.157670 | − | 0.0933916i | ||||
\(793\) | −38.2887 | + | 5.87470i | −1.35967 | + | 0.208617i | ||||
\(794\) | − | 7.04493i | − | 0.250015i | ||||||
\(795\) | 2.92562 | + | 10.9185i | 0.103761 | + | 0.387241i | ||||
\(796\) | −6.10187 | + | 10.5687i | −0.216275 | + | 0.374599i | ||||
\(797\) | −43.0405 | + | 24.8495i | −1.52457 | + | 0.880213i | −0.524998 | + | 0.851103i | \(0.675934\pi\) |
−0.999576 | + | 0.0291101i | \(0.990733\pi\) | |||||||
\(798\) | 4.32519 | + | 4.32519i | 0.153110 | + | 0.153110i | ||||
\(799\) | −1.66605 | + | 6.21778i | −0.0589406 | + | 0.219969i | ||||
\(800\) | 12.9073 | + | 3.45850i | 0.456342 | + | 0.122276i | ||||
\(801\) | −10.3412 | − | 10.3412i | −0.365388 | − | 0.365388i | ||||
\(802\) | −0.375682 | + | 0.216900i | −0.0132658 | + | 0.00765900i | ||||
\(803\) | 0.501224 | + | 44.9256i | 0.0176878 | + | 1.58539i | ||||
\(804\) | −7.54501 | + | 2.02168i | −0.266092 | + | 0.0712991i | ||||
\(805\) | 45.1311 | 1.59066 | ||||||||
\(806\) | 7.87530 | − | 6.31449i | 0.277396 | − | 0.222418i | ||||
\(807\) | −3.01420 | −0.106105 | ||||||||
\(808\) | −1.63907 | − | 6.11711i | −0.0576624 | − | 0.215199i | ||||
\(809\) | 21.1719 | + | 12.2236i | 0.744366 | + | 0.429760i | 0.823655 | − | 0.567092i | \(-0.191932\pi\) |
−0.0792887 | + | 0.996852i | \(0.525265\pi\) | |||||||
\(810\) | −0.576070 | − | 0.997782i | −0.0202410 | − | 0.0350585i | ||||
\(811\) | 24.8203 | + | 24.8203i | 0.871559 | + | 0.871559i | 0.992642 | − | 0.121083i | \(-0.0386367\pi\) |
−0.121083 | + | 0.992642i | \(0.538637\pi\) | |||||||
\(812\) | −39.4552 | − | 10.5720i | −1.38461 | − | 0.371005i | ||||
\(813\) | 4.48992 | + | 1.20307i | 0.157469 | + | 0.0421936i | ||||
\(814\) | −0.775960 | + | 3.03077i | −0.0271974 | + | 0.106229i | ||||
\(815\) | −18.9519 | − | 32.8256i | −0.663856 | − | 1.14983i | ||||
\(816\) | −1.23882 | + | 2.14570i | −0.0433674 | + | 0.0751145i | ||||
\(817\) | 33.8290 | − | 9.06444i | 1.18353 | − | 0.317125i | ||||
\(818\) | 10.1006i | 0.353159i | ||||||||
\(819\) | 1.61405 | − | 14.6738i | 0.0563996 | − | 0.512745i | ||||
\(820\) | 37.2195i | 1.29976i | ||||||||
\(821\) | −25.6077 | + | 6.86157i | −0.893716 | + | 0.239471i | −0.676316 | − | 0.736612i | \(-0.736424\pi\) |
−0.217401 | + | 0.976082i | \(0.569758\pi\) | |||||||
\(822\) | −3.81660 | − | 2.20352i | −0.133119 | − | 0.0768564i | ||||
\(823\) | 32.9786 | − | 19.0402i | 1.14956 | − | 0.663700i | 0.200782 | − | 0.979636i | \(-0.435652\pi\) |
0.948781 | + | 0.315936i | \(0.102318\pi\) | |||||||
\(824\) | −2.76521 | − | 2.76521i | −0.0963305 | − | 0.0963305i | ||||
\(825\) | 9.82754 | − | 2.75115i | 0.342151 | − | 0.0957827i | ||||
\(826\) | −4.62954 | + | 17.2777i | −0.161082 | + | 0.601167i | ||||
\(827\) | −7.09916 | + | 7.09916i | −0.246862 | + | 0.246862i | −0.819681 | − | 0.572820i | \(-0.805850\pi\) |
0.572820 | + | 0.819681i | \(0.305850\pi\) | |||||||
\(828\) | −3.55982 | − | 6.16580i | −0.123712 | − | 0.214276i | ||||
\(829\) | 30.4168 | + | 17.5612i | 1.05642 | + | 0.609924i | 0.924440 | − | 0.381328i | \(-0.124533\pi\) |
0.131980 | + | 0.991252i | \(0.457866\pi\) | |||||||
\(830\) | −8.86811 | + | 2.37620i | −0.307817 | + | 0.0824792i | ||||
\(831\) | −8.08891 | −0.280601 | ||||||||
\(832\) | 5.65396 | − | 14.5188i | 0.196016 | − | 0.503350i | ||||
\(833\) | − | 7.95496i | − | 0.275623i | ||||||
\(834\) | 0.799822 | + | 2.98498i | 0.0276956 | + | 0.103361i | ||||
\(835\) | 42.9386 | + | 24.7906i | 1.48595 | + | 0.857914i | ||||
\(836\) | 19.5541 | + | 11.0005i | 0.676292 | + | 0.380461i | ||||
\(837\) | −4.88323 | + | 4.88323i | −0.168789 | + | 0.168789i | ||||
\(838\) | 0.717849 | − | 2.67905i | 0.0247977 | − | 0.0925462i | ||||
\(839\) | 2.59301 | − | 9.67723i | 0.0895205 | − | 0.334095i | −0.906611 | − | 0.421967i | \(-0.861340\pi\) |
0.996132 | + | 0.0878716i | \(0.0280065\pi\) | |||||||
\(840\) | 12.7942 | + | 12.7942i | 0.441441 | + | 0.441441i | ||||
\(841\) | 0.268781 | + | 0.465542i | 0.00926831 | + | 0.0160532i | ||||
\(842\) | −3.37208 | + | 5.84061i | −0.116209 | + | 0.201281i | ||||
\(843\) | 4.31310 | + | 16.0967i | 0.148551 | + | 0.554401i | ||||
\(844\) | −35.9396 | −1.23709 | ||||||||
\(845\) | 36.9125 | − | 1.57672i | 1.26983 | − | 0.0542409i | ||||
\(846\) | − | 3.20287i | − | 0.110117i | ||||||
\(847\) | −10.6831 | + | 43.7522i | −0.367076 | + | 1.50334i | ||||
\(848\) | −6.04745 | + | 10.4745i | −0.207670 | + | 0.359696i | ||||
\(849\) | 5.79787 | + | 10.0422i | 0.198982 | + | 0.344648i | ||||
\(850\) | 0.718666 | − | 0.718666i | 0.0246500 | − | 0.0246500i | ||||
\(851\) | 8.71718 | + | 2.33576i | 0.298821 | + | 0.0800689i | ||||
\(852\) | 0.489314 | − | 1.82615i | 0.0167636 | − | 0.0625627i | ||||
\(853\) | 20.4127 | − | 20.4127i | 0.698919 | − | 0.698919i | −0.265258 | − | 0.964177i | \(-0.585457\pi\) |
0.964177 | + | 0.265258i | \(0.0854573\pi\) | |||||||
\(854\) | 15.4435 | − | 8.91628i | 0.528464 | − | 0.305109i | ||||
\(855\) | 5.23665 | − | 9.07015i | 0.179090 | − | 0.310193i | ||||
\(856\) | −8.14504 | + | 2.18246i | −0.278392 | + | 0.0745948i | ||||
\(857\) | 20.7248 | 0.707947 | 0.353973 | − | 0.935255i | \(-0.384830\pi\) | ||||
0.353973 | + | 0.935255i | \(0.384830\pi\) | |||||||
\(858\) | 0.788618 | + | 4.78325i | 0.0269230 | + | 0.163298i | ||||
\(859\) | −17.2940 | −0.590065 | −0.295033 | − | 0.955487i | \(-0.595331\pi\) | ||||
−0.295033 | + | 0.955487i | \(0.595331\pi\) | |||||||
\(860\) | 47.8903 | − | 12.8322i | 1.63305 | − | 0.437573i | ||||
\(861\) | −14.6052 | + | 25.2969i | −0.497743 | + | 0.862116i | ||||
\(862\) | 5.44306 | − | 3.14255i | 0.185391 | − | 0.107036i | ||||
\(863\) | 30.2785 | − | 30.2785i | 1.03069 | − | 1.03069i | 0.0311793 | − | 0.999514i | \(-0.490074\pi\) |
0.999514 | − | 0.0311793i | \(-0.00992630\pi\) | |||||||
\(864\) | 1.12397 | − | 4.19472i | 0.0382383 | − | 0.142707i | ||||
\(865\) | −35.2771 | − | 9.45248i | −1.19946 | − | 0.321394i | ||||
\(866\) | −2.76219 | + | 2.76219i | −0.0938629 | + | 0.0938629i | ||||
\(867\) | −8.16808 | − | 14.1475i | −0.277403 | − | 0.480475i | ||||
\(868\) | 25.9517 | − | 44.9496i | 0.880857 | − | 1.52569i | ||||
\(869\) | 11.3073 | + | 11.0578i | 0.383575 | + | 0.375110i | ||||
\(870\) | − | 6.26170i | − | 0.212292i | ||||||
\(871\) | 1.67749 | − | 15.2505i | 0.0568396 | − | 0.516745i | ||||
\(872\) | 13.2579 | 0.448970 | ||||||||
\(873\) | 2.26194 | + | 8.44167i | 0.0765550 | + | 0.285707i | ||||
\(874\) | −2.89718 | + | 5.01806i | −0.0979984 | + | 0.169738i | ||||
\(875\) | −11.1880 | − | 19.3781i | −0.378222 | − | 0.655100i | ||||
\(876\) | 17.5833 | + | 17.5833i | 0.594084 | + | 0.594084i | ||||
\(877\) | −7.48595 | + | 27.9379i | −0.252782 | + | 0.943397i | 0.716528 | + | 0.697558i | \(0.245730\pi\) |
−0.969311 | + | 0.245839i | \(0.920937\pi\) | |||||||
\(878\) | 2.24415 | − | 8.37528i | 0.0757364 | − | 0.282652i | ||||
\(879\) | 17.1465 | − | 17.1465i | 0.578336 | − | 0.578336i | ||||
\(880\) | 24.9817 | + | 14.0539i | 0.842132 | + | 0.473758i | ||||
\(881\) | −24.5680 | − | 14.1843i | −0.827716 | − | 0.477882i | 0.0253541 | − | 0.999679i | \(-0.491929\pi\) |
−0.853070 | + | 0.521797i | \(0.825262\pi\) | |||||||
\(882\) | 1.02443 | + | 3.82323i | 0.0344944 | + | 0.128735i | ||||
\(883\) | − | 12.9290i | − | 0.435096i | −0.976050 | − | 0.217548i | \(-0.930194\pi\) | ||
0.976050 | − | 0.217548i | \(-0.0698059\pi\) | |||||||
\(884\) | −3.37333 | − | 4.20715i | −0.113457 | − | 0.141502i | ||||
\(885\) | 30.6271 | 1.02952 | ||||||||
\(886\) | −10.0159 | + | 2.68374i | −0.336490 | + | 0.0901621i | ||||
\(887\) | −27.8036 | − | 16.0524i | −0.933555 | − | 0.538988i | −0.0456208 | − | 0.998959i | \(-0.514527\pi\) |
−0.887934 | + | 0.459971i | \(0.847860\pi\) | |||||||
\(888\) | 1.80906 | + | 3.13339i | 0.0607081 | + | 0.105150i | ||||
\(889\) | −10.3925 | + | 10.3925i | −0.348554 | + | 0.348554i | ||||
\(890\) | −4.36101 | + | 16.2755i | −0.146182 | + | 0.545557i | ||||
\(891\) | −0.894092 | − | 3.19384i | −0.0299532 | − | 0.106998i | ||||
\(892\) | −7.84572 | − | 7.84572i | −0.262694 | − | 0.262694i | ||||
\(893\) | 25.2144 | − | 14.5576i | 0.843769 | − | 0.487150i | ||||
\(894\) | 3.52279 | + | 2.03388i | 0.117820 | + | 0.0680232i | ||||
\(895\) | −53.3352 | + | 14.2911i | −1.78280 | + | 0.477700i | ||||
\(896\) | 42.7336i | 1.42763i | ||||||||
\(897\) | 13.8225 | − | 2.12081i | 0.461520 | − | 0.0708117i | ||||
\(898\) | 1.00659i | 0.0335905i | ||||||||
\(899\) | −36.2537 | + | 9.71416i | −1.20913 | + | 0.323985i | ||||
\(900\) | 2.82418 | − | 4.89163i | 0.0941394 | − | 0.163054i | ||||
\(901\) | 1.62030 | + | 2.80645i | 0.0539801 | + | 0.0934963i | ||||
\(902\) | 2.37919 | − | 9.29271i | 0.0792182 | − | 0.309414i | ||||
\(903\) | 37.5849 | + | 10.0708i | 1.25075 | + | 0.335137i | ||||
\(904\) | 13.3827 | + | 3.58588i | 0.445102 | + | 0.119265i | ||||
\(905\) | −41.5880 | − | 41.5880i | −1.38243 | − | 1.38243i | ||||
\(906\) | −4.28734 | − | 7.42589i | −0.142437 | − | 0.246709i | ||||
\(907\) | 33.9994 | + | 19.6295i | 1.12893 | + | 0.651788i | 0.943666 | − | 0.330901i | \(-0.107353\pi\) |
0.185264 | + | 0.982689i | \(0.440686\pi\) | |||||||
\(908\) | −6.96335 | − | 25.9876i | −0.231087 | − | 0.862428i | ||||
\(909\) | −4.07271 | −0.135083 | ||||||||
\(910\) | −15.5711 | + | 6.84267i | −0.516176 | + | 0.226832i | ||||
\(911\) | −8.71548 | −0.288757 | −0.144378 | − | 0.989523i | \(-0.546118\pi\) | ||||
−0.144378 | + | 0.989523i | \(0.546118\pi\) | |||||||
\(912\) | 10.8245 | − | 2.90042i | 0.358436 | − | 0.0960426i | ||||
\(913\) | −26.4272 | + | 0.294842i | −0.874613 | + | 0.00975786i | ||||
\(914\) | 4.55305 | − | 2.62870i | 0.150601 | − | 0.0869498i | ||||
\(915\) | −21.5905 | − | 21.5905i | −0.713760 | − | 0.713760i | ||||
\(916\) | −6.61043 | − | 1.77126i | −0.218415 | − | 0.0585240i | ||||
\(917\) | 7.47513 | − | 27.8976i | 0.246851 | − | 0.921259i | ||||
\(918\) | −0.233558 | − | 0.233558i | −0.00770857 | − | 0.00770857i | ||||
\(919\) | 35.1630 | − | 20.3014i | 1.15992 | − | 0.669681i | 0.208636 | − | 0.977993i | \(-0.433098\pi\) |
0.951285 | + | 0.308312i | \(0.0997642\pi\) | |||||||
\(920\) | −8.57003 | + | 14.8437i | −0.282545 | + | 0.489383i | ||||
\(921\) | −4.14888 | − | 15.4838i | −0.136710 | − | 0.510210i | ||||
\(922\) | − | 4.24770i | − | 0.139890i | ||||||
\(923\) | 2.99362 | + | 2.19719i | 0.0985362 | + | 0.0723213i | ||||
\(924\) | 12.7036 | + | 21.4470i | 0.417916 | + | 0.705555i | ||||
\(925\) | 1.85307 | + | 6.91577i | 0.0609287 | + | 0.227389i | ||||
\(926\) | −2.35167 | − | 1.35774i | −0.0772806 | − | 0.0446180i | ||||
\(927\) | −2.17798 | + | 1.25746i | −0.0715343 | + | 0.0413004i | ||||
\(928\) | 16.6891 | − | 16.6891i | 0.547845 | − | 0.547845i | ||||
\(929\) | 51.7369 | + | 13.8629i | 1.69743 | + | 0.454825i | 0.972291 | − | 0.233775i | \(-0.0751079\pi\) |
0.725141 | + | 0.688600i | \(0.241775\pi\) | |||||||
\(930\) | 7.68547 | + | 2.05932i | 0.252017 | + | 0.0675276i | ||||
\(931\) | −25.4419 | + | 25.4419i | −0.833826 | + | 0.833826i | ||||
\(932\) | 20.1233 | − | 11.6182i | 0.659161 | − | 0.380567i | ||||
\(933\) | 6.62006 | + | 3.82209i | 0.216731 | + | 0.125130i | ||||
\(934\) | −2.32677 | − | 8.68361i | −0.0761341 | − | 0.284136i | ||||
\(935\) | 6.60770 | − | 3.91389i | 0.216095 | − | 0.127998i | ||||
\(936\) | 4.51975 | + | 3.31730i | 0.147733 | + | 0.108429i | ||||
\(937\) | 38.4606i | 1.25645i | 0.778030 | + | 0.628227i | \(0.216219\pi\) | ||||
−0.778030 | + | 0.628227i | \(0.783781\pi\) | |||||||
\(938\) | 1.82803 | + | 6.82230i | 0.0596873 | + | 0.222756i | ||||
\(939\) | −5.32075 | + | 9.21582i | −0.173636 | + | 0.300747i | ||||
\(940\) | 35.6951 | − | 20.6086i | 1.16424 | − | 0.672177i | ||||
\(941\) | −26.2401 | − | 26.2401i | −0.855402 | − | 0.855402i | 0.135391 | − | 0.990792i | \(-0.456771\pi\) |
−0.990792 | + | 0.135391i | \(0.956771\pi\) | |||||||
\(942\) | 2.33072 | − | 8.69837i | 0.0759390 | − | 0.283408i | ||||
\(943\) | −26.7279 | − | 7.16173i | −0.870381 | − | 0.233218i | ||||
\(944\) | 23.1724 | + | 23.1724i | 0.754199 | + | 0.754199i | ||||
\(945\) | 10.0772 | − | 5.81807i | 0.327811 | − | 0.189262i | ||||
\(946\) | −12.7772 | + | 0.142552i | −0.415422 | + | 0.00463477i | ||||
\(947\) | −32.7023 | + | 8.76255i | −1.06268 | + | 0.284745i | −0.747483 | − | 0.664281i | \(-0.768738\pi\) |
−0.315199 | + | 0.949026i | \(0.602071\pi\) | |||||||
\(948\) | 8.75342 | 0.284298 | ||||||||
\(949\) | −44.7152 | + | 19.6500i | −1.45152 | + | 0.637865i | ||||
\(950\) | −4.59694 | −0.149145 | ||||||||
\(951\) | −5.67330 | − | 21.1730i | −0.183969 | − | 0.686582i | ||||
\(952\) | 4.49224 | + | 2.59360i | 0.145594 | + | 0.0840589i | ||||
\(953\) | 18.0820 | + | 31.3190i | 0.585734 | + | 1.01452i | 0.994783 | + | 0.102009i | \(0.0325272\pi\) |
−0.409049 | + | 0.912512i | \(0.634140\pi\) | |||||||
\(954\) | −1.14014 | − | 1.14014i | −0.0369135 | − | 0.0369135i | ||||
\(955\) | −44.5273 | − | 11.9310i | −1.44087 | − | 0.386080i | ||||
\(956\) | 38.9869 | + | 10.4465i | 1.26092 | + | 0.337864i | ||||
\(957\) | 4.47077 | − | 17.4621i | 0.144520 | − | 0.564470i | ||||
\(958\) | 6.63577 | + | 11.4935i | 0.214392 | + | 0.371338i | ||||
\(959\) | 22.2546 | − | 38.5461i | 0.718638 | − | 1.24472i | ||||
\(960\) | 11.8629 | − | 3.17865i | 0.382873 | − | 0.102590i | ||||
\(961\) | − | 16.6918i | − | 0.538445i | ||||||
\(962\) | −3.36173 | + | 0.515796i | −0.108387 | + | 0.0166299i | ||||
\(963\) | 5.42289i | 0.174750i | ||||||||
\(964\) | 41.6636 | − | 11.1637i | 1.34190 | − | 0.359560i | ||||
\(965\) | −59.8074 | − | 34.5298i | −1.92527 | − | 1.11155i | ||||
\(966\) | −5.57520 | + | 3.21884i | −0.179379 | + | 0.103565i | ||||
\(967\) | −18.5937 | − | 18.5937i | −0.597934 | − | 0.597934i | 0.341829 | − | 0.939762i | \(-0.388954\pi\) |
−0.939762 | + | 0.341829i | \(0.888954\pi\) | |||||||
\(968\) | −12.3616 | − | 11.8219i | −0.397316 | − | 0.379970i | ||||
\(969\) | 0.777115 | − | 2.90023i | 0.0249645 | − | 0.0931688i | ||||
\(970\) | 7.11991 | − | 7.11991i | 0.228607 | − | 0.228607i | ||||
\(971\) | −15.4973 | − | 26.8422i | −0.497333 | − | 0.861406i | 0.502662 | − | 0.864483i | \(-0.332354\pi\) |
−0.999995 | + | 0.00307706i | \(0.999021\pi\) | |||||||
\(972\) | −1.58972 | − | 0.917827i | −0.0509904 | − | 0.0294393i | ||||
\(973\) | −30.1470 | + | 8.07787i | −0.966469 | + | 0.258965i | ||||
\(974\) | 1.01001 | 0.0323628 | ||||||||
\(975\) | 6.94016 | + | 8.65562i | 0.222263 | + | 0.277202i | ||||
\(976\) | − | 32.6707i | − | 1.04576i | ||||||
\(977\) | 12.5294 | + | 46.7603i | 0.400851 | + | 1.49600i | 0.811582 | + | 0.584239i | \(0.198607\pi\) |
−0.410731 | + | 0.911757i | \(0.634726\pi\) | |||||||
\(978\) | 4.68238 | + | 2.70337i | 0.149726 | + | 0.0864443i | ||||
\(979\) | −23.7821 | + | 42.2741i | −0.760080 | + | 1.35109i | ||||
\(980\) | −36.0171 | + | 36.0171i | −1.15052 | + | 1.15052i | ||||
\(981\) | 2.20675 | − | 8.23571i | 0.0704562 | − | 0.262946i | ||||
\(982\) | 1.73833 | − | 6.48752i | 0.0554722 | − | 0.207025i | ||||
\(983\) | 21.4410 | + | 21.4410i | 0.683860 | + | 0.683860i | 0.960868 | − | 0.277007i | \(-0.0893427\pi\) |
−0.277007 | + | 0.960868i | \(0.589343\pi\) | |||||||
\(984\) | −5.54680 | − | 9.60734i | −0.176826 | − | 0.306271i | ||||
\(985\) | −30.8382 | + | 53.4133i | −0.982585 | + | 1.70189i | ||||
\(986\) | −0.464615 | − | 1.73397i | −0.0147964 | − | 0.0552208i | ||||
\(987\) | 32.3477 | 1.02964 | ||||||||
\(988\) | −2.66676 | + | 24.2443i | −0.0848410 | + | 0.771313i | ||||
\(989\) | 36.8599i | 1.17208i | ||||||||
\(990\) | −2.67169 | + | 2.73198i | −0.0849120 | + | 0.0868281i | ||||
\(991\) | 6.76841 | − | 11.7232i | 0.215006 | − | 0.372401i | −0.738269 | − | 0.674507i | \(-0.764356\pi\) |
0.953274 | + | 0.302106i | \(0.0976897\pi\) | |||||||
\(992\) | 14.9952 | + | 25.9724i | 0.476097 | + | 0.824624i | ||||
\(993\) | −1.10108 | + | 1.10108i | −0.0349417 | + | 0.0349417i | ||||
\(994\) | −1.65123 | − | 0.442445i | −0.0523737 | − | 0.0140335i | ||||
\(995\) | 4.89017 | − | 18.2504i | 0.155029 | − | 0.578575i | ||||
\(996\) | −10.3433 | + | 10.3433i | −0.327739 | + | 0.327739i | ||||
\(997\) | −45.1556 | + | 26.0706i | −1.43009 | + | 0.825665i | −0.997127 | − | 0.0757452i | \(-0.975866\pi\) |
−0.432966 | + | 0.901410i | \(0.642533\pi\) | |||||||
\(998\) | 8.67398 | − | 15.0238i | 0.274570 | − | 0.475570i | ||||
\(999\) | 2.24755 | − | 0.602228i | 0.0711092 | − | 0.0190536i |
(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 | 429.2.bd.b.175.6 | yes | 56 | |
11.10 | odd | 2 | inner | 429.2.bd.b.175.9 | yes | 56 | |
13.11 | odd | 12 | inner | 429.2.bd.b.76.9 | yes | 56 | |
143.76 | even | 12 | inner | 429.2.bd.b.76.6 | ✓ | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bd.b.76.6 | ✓ | 56 | 143.76 | even | 12 | inner | |
429.2.bd.b.76.9 | yes | 56 | 13.11 | odd | 12 | inner | |
429.2.bd.b.175.6 | yes | 56 | 1.1 | even | 1 | trivial | |
429.2.bd.b.175.9 | yes | 56 | 11.10 | odd | 2 | inner |