Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [475,2,Mod(39,475)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(475, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("475.39");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 475 = 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 475.n (of order \(10\), 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: | \(3.79289409601\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 39.15 | ||
Character | \(\chi\) | \(=\) | 475.39 |
Dual form | 475.2.n.b.134.15 |
$q$-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 \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{3}{10}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.216810 | + | 0.298413i | 0.153308 | + | 0.211010i | 0.878762 | − | 0.477261i | \(-0.158370\pi\) |
−0.725454 | + | 0.688270i | \(0.758370\pi\) | |||||||
\(3\) | 1.05547 | + | 0.342943i | 0.609376 | + | 0.197998i | 0.597418 | − | 0.801930i | \(-0.296193\pi\) |
0.0119583 | + | 0.999928i | \(0.496193\pi\) | |||||||
\(4\) | 0.575990 | − | 1.77272i | 0.287995 | − | 0.886358i | ||||
\(5\) | 0.566211 | − | 2.16319i | 0.253217 | − | 0.967409i | ||||
\(6\) | 0.126498 | + | 0.389319i | 0.0516424 | + | 0.158939i | ||||
\(7\) | − | 0.311701i | − | 0.117812i | −0.998264 | − | 0.0589060i | \(-0.981239\pi\) | ||
0.998264 | − | 0.0589060i | \(-0.0187612\pi\) | |||||||
\(8\) | 1.35549 | − | 0.440426i | 0.479239 | − | 0.155714i | ||||
\(9\) | −1.43064 | − | 1.03942i | −0.476881 | − | 0.346475i | ||||
\(10\) | 0.768285 | − | 0.300037i | 0.242953 | − | 0.0948799i | ||||
\(11\) | −1.32359 | + | 0.961642i | −0.399076 | + | 0.289946i | −0.769165 | − | 0.639051i | \(-0.779327\pi\) |
0.370088 | + | 0.928997i | \(0.379327\pi\) | |||||||
\(12\) | 1.21588 | − | 1.67352i | 0.350995 | − | 0.483103i | ||||
\(13\) | 0.395753 | − | 0.544708i | 0.109762 | − | 0.151075i | −0.750602 | − | 0.660755i | \(-0.770236\pi\) |
0.860364 | + | 0.509680i | \(0.170236\pi\) | |||||||
\(14\) | 0.0930157 | − | 0.0675798i | 0.0248595 | − | 0.0180615i | ||||
\(15\) | 1.33947 | − | 2.08901i | 0.345850 | − | 0.539379i | ||||
\(16\) | −2.59061 | − | 1.88219i | −0.647653 | − | 0.470547i | ||||
\(17\) | 1.23769 | − | 0.402151i | 0.300185 | − | 0.0975360i | −0.155052 | − | 0.987906i | \(-0.549555\pi\) |
0.455237 | + | 0.890370i | \(0.349555\pi\) | |||||||
\(18\) | − | 0.652280i | − | 0.153744i | ||||||
\(19\) | 0.309017 | + | 0.951057i | 0.0708934 | + | 0.218187i | ||||
\(20\) | −3.50859 | − | 2.24971i | −0.784545 | − | 0.503050i | ||||
\(21\) | 0.106896 | − | 0.328991i | 0.0233266 | − | 0.0717918i | ||||
\(22\) | −0.573933 | − | 0.186482i | −0.122363 | − | 0.0397581i | ||||
\(23\) | 3.08863 | + | 4.25114i | 0.644024 | + | 0.886424i | 0.998822 | − | 0.0485195i | \(-0.0154503\pi\) |
−0.354798 | + | 0.934943i | \(0.615450\pi\) | |||||||
\(24\) | 1.58172 | 0.322868 | ||||||||
\(25\) | −4.35881 | − | 2.44965i | −0.871762 | − | 0.489930i | ||||
\(26\) | 0.248351 | 0.0487056 | ||||||||
\(27\) | −3.11049 | − | 4.28122i | −0.598614 | − | 0.823921i | ||||
\(28\) | −0.552557 | − | 0.179537i | −0.104424 | − | 0.0339293i | ||||
\(29\) | 0.707432 | − | 2.17725i | 0.131367 | − | 0.404305i | −0.863640 | − | 0.504108i | \(-0.831821\pi\) |
0.995007 | + | 0.0998030i | \(0.0318212\pi\) | |||||||
\(30\) | 0.913797 | − | 0.0532016i | 0.166836 | − | 0.00971324i | ||||
\(31\) | 2.52866 | + | 7.78242i | 0.454161 | + | 1.39776i | 0.872117 | + | 0.489297i | \(0.162747\pi\) |
−0.417956 | + | 0.908467i | \(0.637253\pi\) | |||||||
\(32\) | − | 4.03165i | − | 0.712701i | ||||||
\(33\) | −1.72679 | + | 0.561069i | −0.300596 | + | 0.0976696i | ||||
\(34\) | 0.388351 | + | 0.282154i | 0.0666017 | + | 0.0483890i | ||||
\(35\) | −0.674270 | − | 0.176489i | −0.113972 | − | 0.0298320i | ||||
\(36\) | −2.66664 | + | 1.93743i | −0.444440 | + | 0.322904i | ||||
\(37\) | 1.28888 | − | 1.77399i | 0.211891 | − | 0.291642i | −0.689821 | − | 0.723980i | \(-0.742311\pi\) |
0.901712 | + | 0.432337i | \(0.142311\pi\) | |||||||
\(38\) | −0.216810 | + | 0.298413i | −0.0351712 | + | 0.0484090i | ||||
\(39\) | 0.604509 | − | 0.439202i | 0.0967990 | − | 0.0703286i | ||||
\(40\) | −0.185232 | − | 3.18157i | −0.0292877 | − | 0.503050i | ||||
\(41\) | 6.31601 | + | 4.58885i | 0.986395 | + | 0.716658i | 0.959129 | − | 0.282970i | \(-0.0913198\pi\) |
0.0272664 | + | 0.999628i | \(0.491320\pi\) | |||||||
\(42\) | 0.121351 | − | 0.0394294i | 0.0187249 | − | 0.00608409i | ||||
\(43\) | − | 0.444096i | − | 0.0677239i | −0.999427 | − | 0.0338620i | \(-0.989219\pi\) | ||
0.999427 | − | 0.0338620i | \(-0.0107807\pi\) | |||||||
\(44\) | 0.942344 | + | 2.90024i | 0.142064 | + | 0.437227i | ||||
\(45\) | −3.05852 | + | 2.50623i | −0.455937 | + | 0.373606i | ||||
\(46\) | −0.598949 | + | 1.84338i | −0.0883103 | + | 0.271791i | ||||
\(47\) | 7.16588 | + | 2.32833i | 1.04525 | + | 0.339623i | 0.780803 | − | 0.624777i | \(-0.214810\pi\) |
0.264448 | + | 0.964400i | \(0.414810\pi\) | |||||||
\(48\) | −2.08883 | − | 2.87503i | −0.301496 | − | 0.414974i | ||||
\(49\) | 6.90284 | 0.986120 | ||||||||
\(50\) | −0.214025 | − | 1.83183i | −0.0302678 | − | 0.259060i | ||||
\(51\) | 1.44426 | 0.202238 | ||||||||
\(52\) | −0.737661 | − | 1.01530i | −0.102295 | − | 0.140797i | ||||
\(53\) | 3.11437 | + | 1.01192i | 0.427792 | + | 0.138998i | 0.514996 | − | 0.857192i | \(-0.327793\pi\) |
−0.0872042 | + | 0.996190i | \(0.527793\pi\) | |||||||
\(54\) | 0.603187 | − | 1.85642i | 0.0820834 | − | 0.252627i | ||||
\(55\) | 1.33079 | + | 3.40766i | 0.179443 | + | 0.459489i | ||||
\(56\) | −0.137281 | − | 0.422509i | −0.0183450 | − | 0.0564601i | ||||
\(57\) | 1.10979i | 0.146995i | ||||||||
\(58\) | 0.803098 | − | 0.260942i | 0.105452 | − | 0.0342634i | ||||
\(59\) | 3.76841 | + | 2.73791i | 0.490605 | + | 0.356446i | 0.805417 | − | 0.592708i | \(-0.201941\pi\) |
−0.314812 | + | 0.949154i | \(0.601941\pi\) | |||||||
\(60\) | −2.93169 | − | 3.57775i | −0.378480 | − | 0.461885i | ||||
\(61\) | −7.79219 | + | 5.66136i | −0.997687 | + | 0.724862i | −0.961591 | − | 0.274486i | \(-0.911492\pi\) |
−0.0360963 | + | 0.999348i | \(0.511492\pi\) | |||||||
\(62\) | −1.77414 | + | 2.44189i | −0.225316 | + | 0.310120i | ||||
\(63\) | −0.323989 | + | 0.445933i | −0.0408188 | + | 0.0561823i | ||||
\(64\) | −3.97812 | + | 2.89028i | −0.497266 | + | 0.361285i | ||||
\(65\) | −0.954228 | − | 1.16451i | −0.118357 | − | 0.144440i | ||||
\(66\) | −0.541816 | − | 0.393652i | −0.0666930 | − | 0.0484553i | ||||
\(67\) | 10.2882 | − | 3.34285i | 1.25691 | − | 0.408394i | 0.396516 | − | 0.918028i | \(-0.370219\pi\) |
0.860391 | + | 0.509634i | \(0.170219\pi\) | |||||||
\(68\) | − | 2.42572i | − | 0.294161i | ||||||
\(69\) | 1.80206 | + | 5.54617i | 0.216943 | + | 0.667681i | ||||
\(70\) | −0.0935217 | − | 0.239475i | −0.0111780 | − | 0.0286228i | ||||
\(71\) | 1.11670 | − | 3.43684i | 0.132527 | − | 0.407878i | −0.862670 | − | 0.505768i | \(-0.831209\pi\) |
0.995197 | + | 0.0978900i | \(0.0312093\pi\) | |||||||
\(72\) | −2.39702 | − | 0.778838i | −0.282491 | − | 0.0917869i | ||||
\(73\) | −1.00132 | − | 1.37819i | −0.117195 | − | 0.161305i | 0.746389 | − | 0.665510i | \(-0.231786\pi\) |
−0.863584 | + | 0.504204i | \(0.831786\pi\) | |||||||
\(74\) | 0.808824 | 0.0940238 | ||||||||
\(75\) | −3.76050 | − | 4.08035i | −0.434226 | − | 0.471159i | ||||
\(76\) | 1.86394 | 0.213809 | ||||||||
\(77\) | 0.299745 | + | 0.412563i | 0.0341591 | + | 0.0470159i | ||||
\(78\) | 0.262127 | + | 0.0851702i | 0.0296800 | + | 0.00964363i | ||||
\(79\) | −3.40838 | + | 10.4899i | −0.383473 | + | 1.18021i | 0.554109 | + | 0.832444i | \(0.313059\pi\) |
−0.937582 | + | 0.347765i | \(0.886941\pi\) | |||||||
\(80\) | −5.53837 | + | 4.53827i | −0.619209 | + | 0.507395i | ||||
\(81\) | −0.175441 | − | 0.539951i | −0.0194934 | − | 0.0599945i | ||||
\(82\) | 2.87969i | 0.318008i | ||||||||
\(83\) | −14.5727 | + | 4.73495i | −1.59956 | + | 0.519729i | −0.966999 | − | 0.254781i | \(-0.917997\pi\) |
−0.632562 | + | 0.774510i | \(0.717997\pi\) | |||||||
\(84\) | −0.521637 | − | 0.378991i | −0.0569152 | − | 0.0413513i | ||||
\(85\) | −0.169135 | − | 2.90508i | −0.0183452 | − | 0.315100i | ||||
\(86\) | 0.132524 | − | 0.0962843i | 0.0142904 | − | 0.0103826i | ||||
\(87\) | 1.49335 | − | 2.05541i | 0.160103 | − | 0.220364i | ||||
\(88\) | −1.37058 | + | 1.88644i | −0.146104 | + | 0.201095i | ||||
\(89\) | 9.39557 | − | 6.82628i | 0.995928 | − | 0.723584i | 0.0347168 | − | 0.999397i | \(-0.488947\pi\) |
0.961211 | + | 0.275813i | \(0.0889471\pi\) | |||||||
\(90\) | −1.41101 | − | 0.369328i | −0.148733 | − | 0.0389306i | ||||
\(91\) | −0.169786 | − | 0.123357i | −0.0177984 | − | 0.0129313i | ||||
\(92\) | 9.31508 | − | 3.02665i | 0.971164 | − | 0.315550i | ||||
\(93\) | 9.08130i | 0.941687i | ||||||||
\(94\) | 0.858827 | + | 2.64320i | 0.0885812 | + | 0.272625i | ||||
\(95\) | 2.23229 | − | 0.129965i | 0.229028 | − | 0.0133341i | ||||
\(96\) | 1.38263 | − | 4.25528i | 0.141114 | − | 0.434303i | ||||
\(97\) | −12.0883 | − | 3.92772i | −1.22738 | − | 0.398800i | −0.377615 | − | 0.925963i | \(-0.623256\pi\) |
−0.849764 | + | 0.527163i | \(0.823256\pi\) | |||||||
\(98\) | 1.49660 | + | 2.05990i | 0.151180 | + | 0.208081i | ||||
\(99\) | 2.89313 | 0.290771 | ||||||||
\(100\) | −6.85316 | + | 6.31596i | −0.685316 | + | 0.631596i | ||||
\(101\) | −3.94038 | −0.392083 | −0.196041 | − | 0.980596i | \(-0.562809\pi\) | ||||
−0.196041 | + | 0.980596i | \(0.562809\pi\) | |||||||
\(102\) | 0.313131 | + | 0.430987i | 0.0310046 | + | 0.0426741i | ||||
\(103\) | −11.4473 | − | 3.71947i | −1.12794 | − | 0.366490i | −0.315147 | − | 0.949043i | \(-0.602054\pi\) |
−0.812793 | + | 0.582553i | \(0.802054\pi\) | |||||||
\(104\) | 0.296537 | − | 0.912647i | 0.0290779 | − | 0.0894924i | ||||
\(105\) | −0.651146 | − | 0.417515i | −0.0635453 | − | 0.0407453i | ||||
\(106\) | 0.373256 | + | 1.14876i | 0.0362538 | + | 0.111578i | ||||
\(107\) | 0.622852i | 0.0602134i | 0.999547 | + | 0.0301067i | \(0.00958470\pi\) | ||||
−0.999547 | + | 0.0301067i | \(0.990415\pi\) | |||||||
\(108\) | −9.38099 | + | 3.04807i | −0.902686 | + | 0.293301i | ||||
\(109\) | −14.9586 | − | 10.8681i | −1.43277 | − | 1.04097i | −0.989492 | − | 0.144590i | \(-0.953814\pi\) |
−0.443283 | − | 0.896382i | \(-0.646186\pi\) | |||||||
\(110\) | −0.728364 | + | 1.13594i | −0.0694468 | + | 0.108308i | ||||
\(111\) | 1.96875 | − | 1.43038i | 0.186866 | − | 0.135766i | ||||
\(112\) | −0.586680 | + | 0.807496i | −0.0554361 | + | 0.0763012i | ||||
\(113\) | −1.13093 | + | 1.55659i | −0.106389 | + | 0.146432i | −0.858892 | − | 0.512157i | \(-0.828847\pi\) |
0.752503 | + | 0.658589i | \(0.228847\pi\) | |||||||
\(114\) | −0.331175 | + | 0.240613i | −0.0310174 | + | 0.0225354i | ||||
\(115\) | 10.9449 | − | 4.27427i | 1.02061 | − | 0.398577i | ||||
\(116\) | −3.45217 | − | 2.50815i | −0.320526 | − | 0.232876i | ||||
\(117\) | −1.13236 | + | 0.367927i | −0.104687 | + | 0.0340149i | ||||
\(118\) | 1.71815i | 0.158168i | ||||||||
\(119\) | −0.125351 | − | 0.385791i | −0.0114909 | − | 0.0353654i | ||||
\(120\) | 0.895589 | − | 3.42157i | 0.0817557 | − | 0.312345i | ||||
\(121\) | −2.57206 | + | 7.91599i | −0.233824 | + | 0.719636i | ||||
\(122\) | −3.37884 | − | 1.09785i | −0.305906 | − | 0.0993950i | ||||
\(123\) | 5.09265 | + | 7.00943i | 0.459188 | + | 0.632019i | ||||
\(124\) | 15.2525 | 1.36972 | ||||||||
\(125\) | −7.76707 | + | 8.04193i | −0.694708 | + | 0.719292i | ||||
\(126\) | −0.203316 | −0.0181129 | ||||||||
\(127\) | −2.47761 | − | 3.41014i | −0.219853 | − | 0.302601i | 0.684817 | − | 0.728715i | \(-0.259882\pi\) |
−0.904669 | + | 0.426114i | \(0.859882\pi\) | |||||||
\(128\) | −9.39364 | − | 3.05218i | −0.830288 | − | 0.269777i | ||||
\(129\) | 0.152299 | − | 0.468730i | 0.0134092 | − | 0.0412693i | ||||
\(130\) | 0.140619 | − | 0.537231i | 0.0123331 | − | 0.0471183i | ||||
\(131\) | 5.57069 | + | 17.1448i | 0.486714 | + | 1.49795i | 0.829483 | + | 0.558531i | \(0.188635\pi\) |
−0.342770 | + | 0.939419i | \(0.611365\pi\) | |||||||
\(132\) | 3.38428i | 0.294564i | ||||||||
\(133\) | 0.296445 | − | 0.0963209i | 0.0257051 | − | 0.00835208i | ||||
\(134\) | 3.22814 | + | 2.34538i | 0.278869 | + | 0.202610i | ||||
\(135\) | −11.0223 | + | 4.30451i | −0.948648 | + | 0.370473i | ||||
\(136\) | 1.50057 | − | 1.09023i | 0.128673 | − | 0.0934862i | ||||
\(137\) | 1.41753 | − | 1.95106i | 0.121107 | − | 0.166690i | −0.744159 | − | 0.668003i | \(-0.767149\pi\) |
0.865266 | + | 0.501313i | \(0.167149\pi\) | |||||||
\(138\) | −1.26435 | + | 1.74022i | −0.107628 | + | 0.148138i | ||||
\(139\) | −3.38373 | + | 2.45843i | −0.287005 | + | 0.208521i | −0.721967 | − | 0.691928i | \(-0.756762\pi\) |
0.434962 | + | 0.900449i | \(0.356762\pi\) | |||||||
\(140\) | −0.701237 | + | 1.09363i | −0.0592653 | + | 0.0924288i | ||||
\(141\) | 6.76488 | + | 4.91498i | 0.569706 | + | 0.413916i | ||||
\(142\) | 1.26771 | − | 0.411903i | 0.106384 | − | 0.0345661i | ||||
\(143\) | 1.10154i | 0.0921154i | ||||||||
\(144\) | 1.74985 | + | 5.38548i | 0.145821 | + | 0.448790i | ||||
\(145\) | −4.30926 | − | 2.76310i | −0.357864 | − | 0.229463i | ||||
\(146\) | 0.194176 | − | 0.597612i | 0.0160701 | − | 0.0494587i | ||||
\(147\) | 7.28574 | + | 2.36728i | 0.600918 | + | 0.195250i | ||||
\(148\) | −2.40240 | − | 3.30662i | −0.197476 | − | 0.271802i | ||||
\(149\) | 7.06405 | 0.578709 | 0.289355 | − | 0.957222i | \(-0.406559\pi\) | ||||
0.289355 | + | 0.957222i | \(0.406559\pi\) | |||||||
\(150\) | 0.402317 | − | 2.00684i | 0.0328490 | − | 0.163858i | ||||
\(151\) | −10.7635 | −0.875922 | −0.437961 | − | 0.898994i | \(-0.644299\pi\) | ||||
−0.437961 | + | 0.898994i | \(0.644299\pi\) | |||||||
\(152\) | 0.837741 | + | 1.15305i | 0.0679497 | + | 0.0935248i | ||||
\(153\) | −2.18871 | − | 0.711154i | −0.176946 | − | 0.0574934i | ||||
\(154\) | −0.0581267 | + | 0.178895i | −0.00468398 | + | 0.0144158i | ||||
\(155\) | 18.2666 | − | 1.06349i | 1.46721 | − | 0.0854216i | ||||
\(156\) | −0.430388 | − | 1.32460i | −0.0344586 | − | 0.106053i | ||||
\(157\) | − | 7.14853i | − | 0.570515i | −0.958451 | − | 0.285257i | \(-0.907921\pi\) | ||
0.958451 | − | 0.285257i | \(-0.0920791\pi\) | |||||||
\(158\) | −3.86930 | + | 1.25721i | −0.307825 | + | 0.100018i | ||||
\(159\) | 2.94010 | + | 2.13611i | 0.233165 | + | 0.169404i | ||||
\(160\) | −8.72123 | − | 2.28276i | −0.689474 | − | 0.180468i | ||||
\(161\) | 1.32508 | − | 0.962730i | 0.104431 | − | 0.0758738i | ||||
\(162\) | 0.123091 | − | 0.169420i | 0.00967095 | − | 0.0133109i | ||||
\(163\) | −4.54491 | + | 6.25553i | −0.355985 | + | 0.489971i | −0.949025 | − | 0.315202i | \(-0.897928\pi\) |
0.593040 | + | 0.805173i | \(0.297928\pi\) | |||||||
\(164\) | 11.7727 | − | 8.55336i | 0.919292 | − | 0.667905i | ||||
\(165\) | 0.235971 | + | 4.05307i | 0.0183703 | + | 0.315531i | ||||
\(166\) | −4.57247 | − | 3.32210i | −0.354893 | − | 0.257845i | ||||
\(167\) | 18.3304 | − | 5.95592i | 1.41845 | − | 0.460883i | 0.503342 | − | 0.864087i | \(-0.332104\pi\) |
0.915110 | + | 0.403205i | \(0.132104\pi\) | |||||||
\(168\) | − | 0.493025i | − | 0.0380377i | ||||||
\(169\) | 3.87714 | + | 11.9326i | 0.298241 | + | 0.917892i | ||||
\(170\) | 0.830242 | − | 0.680321i | 0.0636767 | − | 0.0521782i | ||||
\(171\) | 0.546457 | − | 1.68182i | 0.0417886 | − | 0.128612i | ||||
\(172\) | −0.787255 | − | 0.255795i | −0.0600276 | − | 0.0195042i | ||||
\(173\) | 1.37427 | + | 1.89153i | 0.104484 | + | 0.143810i | 0.858057 | − | 0.513554i | \(-0.171671\pi\) |
−0.753573 | + | 0.657364i | \(0.771671\pi\) | |||||||
\(174\) | 0.937134 | 0.0710440 | ||||||||
\(175\) | −0.763558 | + | 1.35865i | −0.0577196 | + | 0.102704i | ||||
\(176\) | 5.23889 | 0.394896 | ||||||||
\(177\) | 3.03850 | + | 4.18213i | 0.228387 | + | 0.314348i | ||||
\(178\) | 4.07410 | + | 1.32376i | 0.305367 | + | 0.0992197i | ||||
\(179\) | 2.13246 | − | 6.56303i | 0.159387 | − | 0.490544i | −0.839192 | − | 0.543836i | \(-0.816971\pi\) |
0.998579 | + | 0.0532920i | \(0.0169714\pi\) | |||||||
\(180\) | 2.68115 | + | 6.86545i | 0.199841 | + | 0.511720i | ||||
\(181\) | 1.26933 | + | 3.90658i | 0.0943483 | + | 0.290374i | 0.987083 | − | 0.160208i | \(-0.0512165\pi\) |
−0.892735 | + | 0.450582i | \(0.851216\pi\) | |||||||
\(182\) | − | 0.0774113i | − | 0.00573811i | ||||||
\(183\) | −10.1659 | + | 3.30312i | −0.751488 | + | 0.244173i | ||||
\(184\) | 6.05893 | + | 4.40207i | 0.446670 | + | 0.324525i | ||||
\(185\) | −3.10771 | − | 3.79255i | −0.228483 | − | 0.278834i | ||||
\(186\) | −2.70998 | + | 1.96891i | −0.198705 | + | 0.144368i | ||||
\(187\) | −1.25147 | + | 1.72250i | −0.0915165 | + | 0.125962i | ||||
\(188\) | 8.25495 | − | 11.3620i | 0.602054 | − | 0.828656i | ||||
\(189\) | −1.33446 | + | 0.969543i | −0.0970677 | + | 0.0705238i | ||||
\(190\) | 0.522765 | + | 0.637966i | 0.0379254 | + | 0.0462829i | ||||
\(191\) | 3.33911 | + | 2.42601i | 0.241610 | + | 0.175540i | 0.702000 | − | 0.712177i | \(-0.252291\pi\) |
−0.460391 | + | 0.887716i | \(0.652291\pi\) | |||||||
\(192\) | −5.18999 | + | 1.68633i | −0.374555 | + | 0.121700i | ||||
\(193\) | − | 3.39065i | − | 0.244064i | −0.992526 | − | 0.122032i | \(-0.961059\pi\) | ||
0.992526 | − | 0.122032i | \(-0.0389411\pi\) | |||||||
\(194\) | −1.44877 | − | 4.45887i | −0.104016 | − | 0.320128i | ||||
\(195\) | −0.607798 | − | 1.55635i | −0.0435253 | − | 0.111453i | ||||
\(196\) | 3.97597 | − | 12.2368i | 0.283998 | − | 0.874055i | ||||
\(197\) | −8.00346 | − | 2.60048i | −0.570223 | − | 0.185277i | 0.00969302 | − | 0.999953i | \(-0.496915\pi\) |
−0.579916 | + | 0.814676i | \(0.696915\pi\) | |||||||
\(198\) | 0.627259 | + | 0.863349i | 0.0445774 | + | 0.0613555i | ||||
\(199\) | −10.5811 | −0.750072 | −0.375036 | − | 0.927010i | \(-0.622370\pi\) | ||||
−0.375036 | + | 0.927010i | \(0.622370\pi\) | |||||||
\(200\) | −6.98722 | − | 1.40075i | −0.494071 | − | 0.0990477i | ||||
\(201\) | 12.0053 | 0.846790 | ||||||||
\(202\) | −0.854314 | − | 1.17586i | −0.0601093 | − | 0.0827334i | ||||
\(203\) | −0.678652 | − | 0.220507i | −0.0476320 | − | 0.0154766i | ||||
\(204\) | 0.831882 | − | 2.56027i | 0.0582434 | − | 0.179255i | ||||
\(205\) | 13.5028 | − | 11.0645i | 0.943074 | − | 0.772778i | ||||
\(206\) | −1.37196 | − | 4.22245i | −0.0955888 | − | 0.294192i | ||||
\(207\) | − | 9.29226i | − | 0.645857i | ||||||
\(208\) | −2.05048 | + | 0.666243i | −0.142176 | + | 0.0461956i | ||||
\(209\) | −1.32359 | − | 0.961642i | −0.0915544 | − | 0.0665181i | ||||
\(210\) | −0.0165830 | − | 0.284832i | −0.00114434 | − | 0.0196553i | ||||
\(211\) | −2.94417 | + | 2.13907i | −0.202685 | + | 0.147259i | −0.684498 | − | 0.729015i | \(-0.739979\pi\) |
0.481813 | + | 0.876274i | \(0.339979\pi\) | |||||||
\(212\) | 3.58770 | − | 4.93804i | 0.246404 | − | 0.339146i | ||||
\(213\) | 2.35728 | − | 3.24452i | 0.161518 | − | 0.222311i | ||||
\(214\) | −0.185867 | + | 0.135040i | −0.0127056 | + | 0.00923117i | ||||
\(215\) | −0.960665 | − | 0.251452i | −0.0655168 | − | 0.0171489i | ||||
\(216\) | −6.10181 | − | 4.43322i | −0.415175 | − | 0.301642i | ||||
\(217\) | 2.42579 | − | 0.788187i | 0.164673 | − | 0.0535056i | ||||
\(218\) | − | 6.82015i | − | 0.461919i | ||||||
\(219\) | −0.584218 | − | 1.79804i | −0.0394778 | − | 0.121500i | ||||
\(220\) | 6.80734 | − | 0.396326i | 0.458951 | − | 0.0267203i | ||||
\(221\) | 0.270767 | − | 0.833334i | 0.0182137 | − | 0.0560561i | ||||
\(222\) | 0.853689 | + | 0.277380i | 0.0572959 | + | 0.0186166i | ||||
\(223\) | −7.67294 | − | 10.5609i | −0.513818 | − | 0.707210i | 0.470739 | − | 0.882272i | \(-0.343987\pi\) |
−0.984557 | + | 0.175062i | \(0.943987\pi\) | |||||||
\(224\) | −1.25667 | −0.0839647 | ||||||||
\(225\) | 3.68968 | + | 8.03522i | 0.245979 | + | 0.535682i | ||||
\(226\) | −0.709705 | −0.0472089 | ||||||||
\(227\) | −12.8317 | − | 17.6614i | −0.851673 | − | 1.17223i | −0.983492 | − | 0.180953i | \(-0.942082\pi\) |
0.131819 | − | 0.991274i | \(-0.457918\pi\) | |||||||
\(228\) | 1.96734 | + | 0.639226i | 0.130290 | + | 0.0423338i | ||||
\(229\) | −2.00674 | + | 6.17612i | −0.132609 | + | 0.408129i | −0.995210 | − | 0.0977551i | \(-0.968834\pi\) |
0.862601 | + | 0.505884i | \(0.168834\pi\) | |||||||
\(230\) | 3.64845 | + | 2.33938i | 0.240572 | + | 0.154254i | ||||
\(231\) | 0.174886 | + | 0.538244i | 0.0115066 | + | 0.0354138i | ||||
\(232\) | − | 3.26282i | − | 0.214215i | ||||||
\(233\) | −11.0402 | + | 3.58718i | −0.723268 | + | 0.235004i | −0.647440 | − | 0.762117i | \(-0.724160\pi\) |
−0.0758288 | + | 0.997121i | \(0.524160\pi\) | |||||||
\(234\) | −0.355302 | − | 0.258142i | −0.0232268 | − | 0.0168753i | ||||
\(235\) | 9.09404 | − | 14.1828i | 0.593230 | − | 0.925187i | ||||
\(236\) | 7.02410 | − | 5.10331i | 0.457230 | − | 0.332197i | ||||
\(237\) | −7.19490 | + | 9.90292i | −0.467359 | + | 0.643264i | ||||
\(238\) | 0.0879477 | − | 0.121050i | 0.00570080 | − | 0.00784648i | ||||
\(239\) | 13.8228 | − | 10.0428i | 0.894120 | − | 0.649616i | −0.0428290 | − | 0.999082i | \(-0.513637\pi\) |
0.936949 | + | 0.349466i | \(0.113637\pi\) | |||||||
\(240\) | −7.40195 | + | 2.89067i | −0.477794 | + | 0.186592i | ||||
\(241\) | −2.84984 | − | 2.07053i | −0.183574 | − | 0.133374i | 0.492203 | − | 0.870480i | \(-0.336192\pi\) |
−0.675777 | + | 0.737106i | \(0.736192\pi\) | |||||||
\(242\) | −2.91988 | + | 0.948727i | −0.187697 | + | 0.0609865i | ||||
\(243\) | 15.2456i | 0.978004i | ||||||||
\(244\) | 5.54775 | + | 17.0742i | 0.355158 | + | 1.09306i | ||||
\(245\) | 3.90847 | − | 14.9322i | 0.249703 | − | 0.953982i | ||||
\(246\) | −0.987569 | + | 3.03942i | −0.0629651 | + | 0.193787i | ||||
\(247\) | 0.640342 | + | 0.208060i | 0.0407440 | + | 0.0132385i | ||||
\(248\) | 6.85517 | + | 9.43533i | 0.435304 | + | 0.599144i | ||||
\(249\) | −17.0049 | −1.07764 | ||||||||
\(250\) | −4.08379 | − | 0.574226i | −0.258282 | − | 0.0363172i | ||||
\(251\) | 21.0563 | 1.32906 | 0.664530 | − | 0.747261i | \(-0.268632\pi\) | ||||
0.664530 | + | 0.747261i | \(0.268632\pi\) | |||||||
\(252\) | 0.603898 | + | 0.831194i | 0.0380420 | + | 0.0523603i | ||||
\(253\) | −8.17614 | − | 2.65659i | −0.514030 | − | 0.167018i | ||||
\(254\) | 0.480460 | − | 1.47870i | 0.0301468 | − | 0.0927822i | ||||
\(255\) | 0.817759 | − | 3.12422i | 0.0512100 | − | 0.195646i | ||||
\(256\) | 1.91319 | + | 5.88820i | 0.119575 | + | 0.368013i | ||||
\(257\) | 7.72037i | 0.481583i | 0.970577 | + | 0.240792i | \(0.0774070\pi\) | ||||
−0.970577 | + | 0.240792i | \(0.922593\pi\) | |||||||
\(258\) | 0.172895 | − | 0.0561770i | 0.0107640 | − | 0.00349743i | ||||
\(259\) | −0.552955 | − | 0.401745i | −0.0343589 | − | 0.0249632i | ||||
\(260\) | −2.61397 | + | 1.02083i | −0.162112 | + | 0.0633091i | ||||
\(261\) | −3.27517 | + | 2.37955i | −0.202728 | + | 0.147290i | ||||
\(262\) | −3.90846 | + | 5.37953i | −0.241465 | + | 0.332349i | ||||
\(263\) | 14.6052 | − | 20.1023i | 0.900595 | − | 1.23956i | −0.0696833 | − | 0.997569i | \(-0.522199\pi\) |
0.970278 | − | 0.241993i | \(-0.0778011\pi\) | |||||||
\(264\) | −2.09355 | + | 1.52105i | −0.128849 | + | 0.0936142i | ||||
\(265\) | 3.95238 | − | 6.16403i | 0.242793 | − | 0.378654i | ||||
\(266\) | 0.0930157 | + | 0.0675798i | 0.00570316 | + | 0.00414359i | ||||
\(267\) | 12.2578 | − | 3.98279i | 0.750163 | − | 0.243743i | ||||
\(268\) | − | 20.1636i | − | 1.23168i | ||||||
\(269\) | −3.50052 | − | 10.7735i | −0.213430 | − | 0.656871i | −0.999261 | − | 0.0384296i | \(-0.987764\pi\) |
0.785831 | − | 0.618441i | \(-0.212236\pi\) | |||||||
\(270\) | −3.67426 | − | 2.35594i | −0.223609 | − | 0.143378i | ||||
\(271\) | 1.58819 | − | 4.88795i | 0.0964757 | − | 0.296922i | −0.891160 | − | 0.453690i | \(-0.850107\pi\) |
0.987635 | + | 0.156768i | \(0.0501075\pi\) | |||||||
\(272\) | −3.96331 | − | 1.28776i | −0.240311 | − | 0.0780818i | ||||
\(273\) | −0.136900 | − | 0.188426i | −0.00828554 | − | 0.0114041i | ||||
\(274\) | 0.889555 | 0.0537400 | ||||||||
\(275\) | 8.12494 | − | 0.949292i | 0.489953 | − | 0.0572445i | ||||
\(276\) | 10.8698 | 0.654283 | ||||||||
\(277\) | −8.84310 | − | 12.1715i | −0.531330 | − | 0.731313i | 0.456002 | − | 0.889979i | \(-0.349281\pi\) |
−0.987332 | + | 0.158665i | \(0.949281\pi\) | |||||||
\(278\) | −1.46725 | − | 0.476739i | −0.0880000 | − | 0.0285929i | ||||
\(279\) | 4.47162 | − | 13.7622i | 0.267709 | − | 0.823923i | ||||
\(280\) | −0.991698 | + | 0.0577370i | −0.0592653 | + | 0.00345045i | ||||
\(281\) | 2.26046 | + | 6.95699i | 0.134848 | + | 0.415019i | 0.995566 | − | 0.0940621i | \(-0.0299852\pi\) |
−0.860718 | + | 0.509081i | \(0.829985\pi\) | |||||||
\(282\) | 3.08434i | 0.183670i | ||||||||
\(283\) | 27.2808 | − | 8.86407i | 1.62167 | − | 0.526914i | 0.649339 | − | 0.760499i | \(-0.275046\pi\) |
0.972336 | + | 0.233585i | \(0.0750458\pi\) | |||||||
\(284\) | −5.44933 | − | 3.95917i | −0.323358 | − | 0.234933i | ||||
\(285\) | 2.40068 | + | 0.628374i | 0.142204 | + | 0.0372216i | ||||
\(286\) | −0.328714 | + | 0.238825i | −0.0194373 | + | 0.0141220i | ||||
\(287\) | 1.43035 | − | 1.96871i | 0.0844309 | − | 0.116209i | ||||
\(288\) | −4.19059 | + | 5.76785i | −0.246933 | + | 0.339874i | ||||
\(289\) | −12.3831 | + | 8.99687i | −0.728419 | + | 0.529228i | ||||
\(290\) | −0.109746 | − | 1.88500i | −0.00644449 | − | 0.110691i | ||||
\(291\) | −11.4118 | − | 8.29119i | −0.668974 | − | 0.486038i | ||||
\(292\) | −3.01989 | + | 0.981223i | −0.176726 | + | 0.0574217i | ||||
\(293\) | 20.8837i | 1.22004i | 0.792388 | + | 0.610018i | \(0.208838\pi\) | ||||
−0.792388 | + | 0.610018i | \(0.791162\pi\) | |||||||
\(294\) | 0.873193 | + | 2.68741i | 0.0509256 | + | 0.156733i | ||||
\(295\) | 8.05635 | − | 6.60157i | 0.469059 | − | 0.384358i | ||||
\(296\) | 0.965755 | − | 2.97229i | 0.0561334 | − | 0.172761i | ||||
\(297\) | 8.23400 | + | 2.67539i | 0.477785 | + | 0.155242i | ||||
\(298\) | 1.53155 | + | 2.10800i | 0.0887206 | + | 0.122113i | ||||
\(299\) | 3.53796 | 0.204606 | ||||||||
\(300\) | −9.39932 | + | 4.31606i | −0.542670 | + | 0.249188i | ||||
\(301\) | −0.138425 | −0.00797869 | ||||||||
\(302\) | −2.33363 | − | 3.21197i | −0.134286 | − | 0.184828i | ||||
\(303\) | −4.15896 | − | 1.35133i | −0.238926 | − | 0.0776317i | ||||
\(304\) | 0.989525 | − | 3.04545i | 0.0567532 | − | 0.174668i | ||||
\(305\) | 7.83458 | + | 20.0615i | 0.448607 | + | 1.14872i | ||||
\(306\) | −0.262315 | − | 0.807323i | −0.0149956 | − | 0.0461516i | ||||
\(307\) | 6.69100i | 0.381876i | 0.981602 | + | 0.190938i | \(0.0611529\pi\) | ||||
−0.981602 | + | 0.190938i | \(0.938847\pi\) | |||||||
\(308\) | 0.904007 | − | 0.293730i | 0.0515106 | − | 0.0167368i | ||||
\(309\) | −10.8068 | − | 7.85157i | −0.614775 | − | 0.446660i | ||||
\(310\) | 4.27775 | + | 5.22043i | 0.242960 | + | 0.296500i | ||||
\(311\) | −14.1813 | + | 10.3033i | −0.804146 | + | 0.584246i | −0.912127 | − | 0.409907i | \(-0.865561\pi\) |
0.107982 | + | 0.994153i | \(0.465561\pi\) | |||||||
\(312\) | 0.625972 | − | 0.861576i | 0.0354387 | − | 0.0487772i | ||||
\(313\) | 16.8870 | − | 23.2430i | 0.954510 | − | 1.31377i | 0.00501576 | − | 0.999987i | \(-0.498403\pi\) |
0.949495 | − | 0.313783i | \(-0.101597\pi\) | |||||||
\(314\) | 2.13321 | − | 1.54987i | 0.120384 | − | 0.0874643i | ||||
\(315\) | 0.781193 | + | 0.953344i | 0.0440153 | + | 0.0537149i | ||||
\(316\) | 16.6325 | + | 12.0842i | 0.935649 | + | 0.679789i | ||||
\(317\) | 20.6565 | − | 6.71172i | 1.16019 | − | 0.376968i | 0.335215 | − | 0.942142i | \(-0.391191\pi\) |
0.824972 | + | 0.565174i | \(0.191191\pi\) | |||||||
\(318\) | 1.34049i | 0.0751711i | ||||||||
\(319\) | 1.15739 | + | 3.56207i | 0.0648013 | + | 0.199438i | ||||
\(320\) | 3.99977 | + | 10.2420i | 0.223594 | + | 0.572543i | ||||
\(321\) | −0.213603 | + | 0.657402i | −0.0119221 | + | 0.0366926i | ||||
\(322\) | 0.574583 | + | 0.186693i | 0.0320202 | + | 0.0104040i | ||||
\(323\) | 0.764937 | + | 1.05285i | 0.0425623 | + | 0.0585819i | ||||
\(324\) | −1.05823 | −0.0587906 | ||||||||
\(325\) | −3.05935 | + | 1.40482i | −0.169702 | + | 0.0779254i | ||||
\(326\) | −2.85211 | −0.157964 | ||||||||
\(327\) | −12.0612 | − | 16.6009i | −0.666988 | − | 0.918030i | ||||
\(328\) | 10.5824 | + | 3.43842i | 0.584313 | + | 0.189855i | ||||
\(329\) | 0.725745 | − | 2.23361i | 0.0400116 | − | 0.123143i | ||||
\(330\) | −1.15833 | + | 0.949162i | −0.0637639 | + | 0.0522497i | ||||
\(331\) | 5.83213 | + | 17.9495i | 0.320563 | + | 0.986591i | 0.973404 | + | 0.229096i | \(0.0735771\pi\) |
−0.652841 | + | 0.757495i | \(0.726423\pi\) | |||||||
\(332\) | 28.5605i | 1.56746i | ||||||||
\(333\) | −3.68786 | + | 1.19826i | −0.202093 | + | 0.0656641i | ||||
\(334\) | 5.75154 | + | 4.17874i | 0.314710 | + | 0.228650i | ||||
\(335\) | −1.40592 | − | 24.1482i | −0.0768134 | − | 1.31936i | ||||
\(336\) | −0.896149 | + | 0.651090i | −0.0488889 | + | 0.0355199i | ||||
\(337\) | −19.4366 | + | 26.7522i | −1.05878 | + | 1.45728i | −0.177837 | + | 0.984060i | \(0.556910\pi\) |
−0.880942 | + | 0.473224i | \(0.843090\pi\) | |||||||
\(338\) | −2.72024 | + | 3.74409i | −0.147962 | + | 0.203652i | ||||
\(339\) | −1.72749 | + | 1.25509i | −0.0938243 | + | 0.0681673i | ||||
\(340\) | −5.24729 | − | 1.37347i | −0.284574 | − | 0.0744867i | ||||
\(341\) | −10.8308 | − | 7.86904i | −0.586521 | − | 0.426132i | ||||
\(342\) | 0.620355 | − | 0.201566i | 0.0335450 | − | 0.0108994i | ||||
\(343\) | − | 4.33353i | − | 0.233989i | ||||||
\(344\) | −0.195591 | − | 0.601968i | −0.0105456 | − | 0.0324560i | ||||
\(345\) | 13.0178 | − | 0.757901i | 0.700854 | − | 0.0408040i | ||||
\(346\) | −0.266500 | + | 0.820202i | −0.0143271 | + | 0.0440943i | ||||
\(347\) | −21.1370 | − | 6.86782i | −1.13469 | − | 0.368684i | −0.319335 | − | 0.947642i | \(-0.603460\pi\) |
−0.815357 | + | 0.578958i | \(0.803460\pi\) | |||||||
\(348\) | −2.78351 | − | 3.83118i | −0.149212 | − | 0.205373i | ||||
\(349\) | −28.9814 | −1.55134 | −0.775671 | − | 0.631138i | \(-0.782588\pi\) | ||||
−0.775671 | + | 0.631138i | \(0.782588\pi\) | |||||||
\(350\) | −0.570984 | + | 0.0667120i | −0.0305204 | + | 0.00356591i | ||||
\(351\) | −3.56300 | −0.190179 | ||||||||
\(352\) | 3.87700 | + | 5.33623i | 0.206645 | + | 0.284422i | ||||
\(353\) | 25.8928 | + | 8.41307i | 1.37813 | + | 0.447782i | 0.902055 | − | 0.431621i | \(-0.142058\pi\) |
0.476078 | + | 0.879403i | \(0.342058\pi\) | |||||||
\(354\) | −0.589227 | + | 1.81345i | −0.0313171 | + | 0.0963840i | ||||
\(355\) | −6.80226 | − | 4.36161i | −0.361026 | − | 0.231490i | ||||
\(356\) | −6.68930 | − | 20.5875i | −0.354532 | − | 1.09114i | ||||
\(357\) | − | 0.450179i | − | 0.0238260i | ||||||
\(358\) | 2.42083 | − | 0.786576i | 0.127945 | − | 0.0415718i | ||||
\(359\) | −7.15276 | − | 5.19678i | −0.377508 | − | 0.274276i | 0.382809 | − | 0.923827i | \(-0.374957\pi\) |
−0.760317 | + | 0.649552i | \(0.774957\pi\) | |||||||
\(360\) | −3.04199 | + | 4.74422i | −0.160327 | + | 0.250043i | ||||
\(361\) | −0.809017 | + | 0.587785i | −0.0425798 | + | 0.0309361i | ||||
\(362\) | −0.890573 | + | 1.22577i | −0.0468075 | + | 0.0644250i | ||||
\(363\) | −5.42947 | + | 7.47302i | −0.284973 | + | 0.392232i | ||||
\(364\) | −0.316471 | + | 0.229930i | −0.0165876 | + | 0.0120516i | ||||
\(365\) | −3.54826 | + | 1.38569i | −0.185724 | + | 0.0725304i | ||||
\(366\) | −3.18977 | − | 2.31750i | −0.166732 | − | 0.121138i | ||||
\(367\) | 10.7117 | − | 3.48045i | 0.559148 | − | 0.181678i | −0.0157900 | − | 0.999875i | \(-0.505026\pi\) |
0.574938 | + | 0.818197i | \(0.305026\pi\) | |||||||
\(368\) | − | 16.8264i | − | 0.877138i | ||||||
\(369\) | −4.26620 | − | 13.1300i | −0.222090 | − | 0.683522i | ||||
\(370\) | 0.457965 | − | 1.74964i | 0.0238085 | − | 0.0909595i | ||||
\(371\) | 0.315417 | − | 0.970754i | 0.0163756 | − | 0.0503990i | ||||
\(372\) | 16.0986 | + | 5.23074i | 0.834672 | + | 0.271201i | ||||
\(373\) | 10.2635 | + | 14.1265i | 0.531422 | + | 0.731440i | 0.987346 | − | 0.158579i | \(-0.0506911\pi\) |
−0.455924 | + | 0.890019i | \(0.650691\pi\) | |||||||
\(374\) | −0.785347 | −0.0406094 | ||||||||
\(375\) | −10.9558 | + | 5.82435i | −0.565757 | + | 0.300768i | ||||
\(376\) | 10.7388 | 0.553809 | ||||||||
\(377\) | −0.905997 | − | 1.24700i | −0.0466612 | − | 0.0642236i | ||||
\(378\) | −0.578648 | − | 0.188014i | −0.0297625 | − | 0.00967041i | ||||
\(379\) | −5.96126 | + | 18.3469i | −0.306209 | + | 0.942416i | 0.673014 | + | 0.739630i | \(0.264999\pi\) |
−0.979223 | + | 0.202786i | \(0.935001\pi\) | |||||||
\(380\) | 1.05539 | − | 4.03207i | 0.0541401 | − | 0.206841i | ||||
\(381\) | −1.44556 | − | 4.44898i | −0.0740584 | − | 0.227928i | ||||
\(382\) | 1.52242i | 0.0778936i | ||||||||
\(383\) | 5.86963 | − | 1.90716i | 0.299924 | − | 0.0974512i | −0.155189 | − | 0.987885i | \(-0.549599\pi\) |
0.455113 | + | 0.890434i | \(0.349599\pi\) | |||||||
\(384\) | −8.86798 | − | 6.44297i | −0.452542 | − | 0.328791i | ||||
\(385\) | 1.06217 | − | 0.414808i | 0.0541333 | − | 0.0211406i | ||||
\(386\) | 1.01181 | − | 0.735126i | 0.0515000 | − | 0.0374169i | ||||
\(387\) | −0.461603 | + | 0.635343i | −0.0234646 | + | 0.0322963i | ||||
\(388\) | −13.9255 | + | 19.1668i | −0.706958 | + | 0.973045i | ||||
\(389\) | −2.03727 | + | 1.48016i | −0.103294 | + | 0.0750473i | −0.638233 | − | 0.769843i | \(-0.720334\pi\) |
0.534939 | + | 0.844890i | \(0.320334\pi\) | |||||||
\(390\) | 0.332659 | − | 0.518807i | 0.0168448 | − | 0.0262708i | ||||
\(391\) | 5.53239 | + | 4.01951i | 0.279785 | + | 0.203276i | ||||
\(392\) | 9.35675 | − | 3.04019i | 0.472587 | − | 0.153553i | ||||
\(393\) | 20.0063i | 1.00918i | ||||||||
\(394\) | −0.959210 | − | 2.95215i | −0.0483243 | − | 0.148727i | ||||
\(395\) | 20.7619 | + | 13.3125i | 1.04464 | + | 0.669825i | ||||
\(396\) | 1.66642 | − | 5.12870i | 0.0837406 | − | 0.257727i | ||||
\(397\) | −35.9085 | − | 11.6674i | −1.80220 | − | 0.585569i | −0.802261 | − | 0.596974i | \(-0.796370\pi\) |
−0.999935 | + | 0.0114046i | \(0.996370\pi\) | |||||||
\(398\) | −2.29408 | − | 3.15753i | −0.114992 | − | 0.158273i | ||||
\(399\) | 0.345922 | 0.0173178 | ||||||||
\(400\) | 6.68128 | + | 14.5502i | 0.334064 | + | 0.727509i | ||||
\(401\) | −38.8483 | −1.93999 | −0.969995 | − | 0.243126i | \(-0.921827\pi\) | ||||
−0.969995 | + | 0.243126i | \(0.921827\pi\) | |||||||
\(402\) | 2.60287 | + | 3.58255i | 0.129819 | + | 0.178681i | ||||
\(403\) | 5.23987 | + | 1.70254i | 0.261017 | + | 0.0848094i | ||||
\(404\) | −2.26962 | + | 6.98518i | −0.112918 | + | 0.347526i | ||||
\(405\) | −1.26735 | + | 0.0737858i | −0.0629753 | + | 0.00366645i | ||||
\(406\) | −0.0813360 | − | 0.250327i | −0.00403664 | − | 0.0124235i | ||||
\(407\) | 3.58747i | 0.177824i | ||||||||
\(408\) | 1.95769 | − | 0.636092i | 0.0969201 | − | 0.0314913i | ||||
\(409\) | 6.56132 | + | 4.76708i | 0.324436 | + | 0.235717i | 0.738066 | − | 0.674728i | \(-0.235739\pi\) |
−0.413630 | + | 0.910445i | \(0.635739\pi\) | |||||||
\(410\) | 6.22932 | + | 1.63051i | 0.307644 | + | 0.0805252i | ||||
\(411\) | 2.16526 | − | 1.57315i | 0.106804 | − | 0.0775979i | ||||
\(412\) | −13.1871 | + | 18.1505i | −0.649682 | + | 0.894211i | ||||
\(413\) | 0.853410 | − | 1.17462i | 0.0419936 | − | 0.0577992i | ||||
\(414\) | 2.77293 | − | 2.01465i | 0.136282 | − | 0.0990148i | ||||
\(415\) | 1.99140 | + | 34.2045i | 0.0977540 | + | 1.67903i | ||||
\(416\) | −2.19607 | − | 1.59554i | −0.107671 | − | 0.0782277i | ||||
\(417\) | −4.41453 | + | 1.43437i | −0.216180 | + | 0.0702413i | ||||
\(418\) | − | 0.603469i | − | 0.0295166i | ||||||
\(419\) | −2.35098 | − | 7.23556i | −0.114853 | − | 0.353480i | 0.877064 | − | 0.480374i | \(-0.159499\pi\) |
−0.991916 | + | 0.126894i | \(0.959499\pi\) | |||||||
\(420\) | −1.11519 | + | 0.913812i | −0.0544156 | + | 0.0445895i | ||||
\(421\) | 4.29401 | − | 13.2156i | 0.209277 | − | 0.644089i | −0.790233 | − | 0.612806i | \(-0.790041\pi\) |
0.999511 | − | 0.0312832i | \(-0.00995939\pi\) | |||||||
\(422\) | −1.27665 | − | 0.414809i | −0.0621463 | − | 0.0201926i | ||||
\(423\) | −7.83169 | − | 10.7794i | −0.380790 | − | 0.524112i | ||||
\(424\) | 4.66719 | 0.226659 | ||||||||
\(425\) | −6.38001 | − | 1.27902i | −0.309476 | − | 0.0620414i | ||||
\(426\) | 1.47929 | 0.0716717 | ||||||||
\(427\) | 1.76465 | + | 2.42883i | 0.0853974 | + | 0.117539i | ||||
\(428\) | 1.10414 | + | 0.358757i | 0.0533706 | + | 0.0173412i | ||||
\(429\) | −0.377765 | + | 1.16264i | −0.0182387 | + | 0.0561329i | ||||
\(430\) | −0.133245 | − | 0.341192i | −0.00642564 | − | 0.0164537i | ||||
\(431\) | 3.38670 | + | 10.4232i | 0.163132 | + | 0.502067i | 0.998894 | − | 0.0470242i | \(-0.0149738\pi\) |
−0.835762 | + | 0.549092i | \(0.814974\pi\) | |||||||
\(432\) | 16.9455i | 0.815291i | ||||||||
\(433\) | 34.3618 | − | 11.1648i | 1.65132 | − | 0.536547i | 0.672296 | − | 0.740283i | \(-0.265308\pi\) |
0.979026 | + | 0.203736i | \(0.0653083\pi\) | |||||||
\(434\) | 0.761140 | + | 0.553001i | 0.0365359 | + | 0.0265449i | ||||
\(435\) | −3.60071 | − | 4.39419i | −0.172641 | − | 0.210685i | ||||
\(436\) | −27.8820 | + | 20.2575i | −1.33531 | + | 0.970156i | ||||
\(437\) | −3.08863 | + | 4.25114i | −0.147749 | + | 0.203360i | ||||
\(438\) | 0.409894 | − | 0.564170i | 0.0195855 | − | 0.0269571i | ||||
\(439\) | 12.6712 | − | 9.20616i | 0.604763 | − | 0.439386i | −0.242803 | − | 0.970076i | \(-0.578067\pi\) |
0.847566 | + | 0.530689i | \(0.178067\pi\) | |||||||
\(440\) | 3.30470 | + | 4.03295i | 0.157545 | + | 0.192263i | ||||
\(441\) | −9.87551 | − | 7.17498i | −0.470262 | − | 0.341666i | ||||
\(442\) | 0.307383 | − | 0.0998747i | 0.0146207 | − | 0.00475055i | ||||
\(443\) | − | 16.2985i | − | 0.774364i | −0.922003 | − | 0.387182i | \(-0.873449\pi\) | ||
0.922003 | − | 0.387182i | \(-0.126551\pi\) | |||||||
\(444\) | −1.40168 | − | 4.31392i | −0.0665207 | − | 0.204730i | ||||
\(445\) | −9.44668 | − | 24.1895i | −0.447816 | − | 1.14669i | ||||
\(446\) | 1.48794 | − | 4.57941i | 0.0704561 | − | 0.216841i | ||||
\(447\) | 7.45589 | + | 2.42257i | 0.352652 | + | 0.114583i | ||||
\(448\) | 0.900902 | + | 1.23999i | 0.0425636 | + | 0.0585838i | ||||
\(449\) | −19.0042 | −0.896865 | −0.448432 | − | 0.893817i | \(-0.648018\pi\) | ||||
−0.448432 | + | 0.893817i | \(0.648018\pi\) | |||||||
\(450\) | −1.59786 | + | 2.84316i | −0.0753237 | + | 0.134028i | ||||
\(451\) | −12.7726 | −0.601439 | ||||||||
\(452\) | 2.10799 | + | 2.90140i | 0.0991516 | + | 0.136471i | ||||
\(453\) | −11.3606 | − | 3.69127i | −0.533766 | − | 0.173431i | ||||
\(454\) | 2.48834 | − | 7.65832i | 0.116784 | − | 0.359423i | ||||
\(455\) | −0.362979 | + | 0.297434i | −0.0170167 | + | 0.0139439i | ||||
\(456\) | 0.488779 | + | 1.50431i | 0.0228892 | + | 0.0704457i | ||||
\(457\) | 35.4316i | 1.65742i | 0.559677 | + | 0.828711i | \(0.310925\pi\) | ||||
−0.559677 | + | 0.828711i | \(0.689075\pi\) | |||||||
\(458\) | −2.27812 | + | 0.740205i | −0.106449 | + | 0.0345875i | ||||
\(459\) | −5.57153 | − | 4.04796i | −0.260057 | − | 0.188942i | ||||
\(460\) | −1.27293 | − | 21.8640i | −0.0593508 | − | 1.01942i | ||||
\(461\) | −11.6050 | + | 8.43155i | −0.540500 | + | 0.392696i | −0.824271 | − | 0.566196i | \(-0.808415\pi\) |
0.283771 | + | 0.958892i | \(0.408415\pi\) | |||||||
\(462\) | −0.122702 | + | 0.168885i | −0.00570861 | + | 0.00785723i | ||||
\(463\) | 12.1165 | − | 16.6769i | 0.563102 | − | 0.775043i | −0.428615 | − | 0.903487i | \(-0.640998\pi\) |
0.991717 | + | 0.128444i | \(0.0409983\pi\) | |||||||
\(464\) | −5.93068 | + | 4.30889i | −0.275325 | + | 0.200035i | ||||
\(465\) | 19.6446 | + | 5.14193i | 0.910997 | + | 0.238452i | ||||
\(466\) | −3.46409 | − | 2.51681i | −0.160471 | − | 0.116589i | ||||
\(467\) | 13.7502 | − | 4.46771i | 0.636284 | − | 0.206741i | 0.0269271 | − | 0.999637i | \(-0.491428\pi\) |
0.609357 | + | 0.792896i | \(0.291428\pi\) | |||||||
\(468\) | 2.21928i | 0.102586i | ||||||||
\(469\) | −1.04197 | − | 3.20685i | −0.0481137 | − | 0.148079i | ||||
\(470\) | 6.20402 | − | 0.361200i | 0.286170 | − | 0.0166609i | ||||
\(471\) | 2.45154 | − | 7.54506i | 0.112961 | − | 0.347658i | ||||
\(472\) | 6.31390 | + | 2.05151i | 0.290621 | + | 0.0944285i | ||||
\(473\) | 0.427061 | + | 0.587799i | 0.0196363 | + | 0.0270270i | ||||
\(474\) | −4.51509 | −0.207385 | ||||||||
\(475\) | 0.982808 | − | 4.90246i | 0.0450943 | − | 0.224940i | ||||
\(476\) | −0.756098 | −0.0346557 | ||||||||
\(477\) | −3.40375 | − | 4.68485i | −0.155847 | − | 0.214505i | ||||
\(478\) | 5.99382 | + | 1.94751i | 0.274151 | + | 0.0890770i | ||||
\(479\) | −2.22660 | + | 6.85276i | −0.101736 | + | 0.313111i | −0.988950 | − | 0.148246i | \(-0.952637\pi\) |
0.887215 | + | 0.461357i | \(0.152637\pi\) | |||||||
\(480\) | −8.42214 | − | 5.40027i | −0.384416 | − | 0.246488i | ||||
\(481\) | −0.456228 | − | 1.40412i | −0.0208022 | − | 0.0640226i | ||||
\(482\) | − | 1.29934i | − | 0.0591833i | ||||||
\(483\) | 1.72875 | − | 0.561704i | 0.0786608 | − | 0.0255584i | ||||
\(484\) | 12.5513 | + | 9.11907i | 0.570514 | + | 0.414503i | ||||
\(485\) | −15.3409 | + | 23.9254i | −0.696596 | + | 1.08640i | ||||
\(486\) | −4.54948 | + | 3.30539i | −0.206368 | + | 0.149935i | ||||
\(487\) | −6.04434 | + | 8.31933i | −0.273895 | + | 0.376985i | −0.923700 | − | 0.383117i | \(-0.874851\pi\) |
0.649805 | + | 0.760101i | \(0.274851\pi\) | |||||||
\(488\) | −8.06884 | + | 11.1058i | −0.365259 | + | 0.502736i | ||||
\(489\) | −6.94231 | + | 5.04388i | −0.313942 | + | 0.228092i | ||||
\(490\) | 5.30335 | − | 2.07111i | 0.239581 | − | 0.0935630i | ||||
\(491\) | −11.1681 | − | 8.11408i | −0.504008 | − | 0.366183i | 0.306538 | − | 0.951858i | \(-0.400829\pi\) |
−0.810546 | + | 0.585675i | \(0.800829\pi\) | |||||||
\(492\) | 15.3590 | − | 4.99045i | 0.692439 | − | 0.224987i | ||||
\(493\) | − | 2.97927i | − | 0.134179i | ||||||
\(494\) | 0.0767447 | + | 0.236196i | 0.00345291 | + | 0.0106270i | ||||
\(495\) | 1.63812 | − | 6.25841i | 0.0736282 | − | 0.281294i | ||||
\(496\) | 8.09721 | − | 24.9206i | 0.363575 | − | 1.11897i | ||||
\(497\) | −1.07127 | − | 0.348075i | −0.0480528 | − | 0.0156133i | ||||
\(498\) | −3.68682 | − | 5.07447i | −0.165210 | − | 0.227393i | ||||
\(499\) | −34.7698 | −1.55651 | −0.778255 | − | 0.627949i | \(-0.783895\pi\) | ||||
−0.778255 | + | 0.627949i | \(0.783895\pi\) | |||||||
\(500\) | 9.78230 | + | 18.4009i | 0.437478 | + | 0.822912i | ||||
\(501\) | 21.3898 | 0.955624 | ||||||||
\(502\) | 4.56521 | + | 6.28347i | 0.203755 | + | 0.280445i | ||||
\(503\) | 28.5005 | + | 9.26036i | 1.27077 | + | 0.412899i | 0.865321 | − | 0.501218i | \(-0.167114\pi\) |
0.405451 | + | 0.914117i | \(0.367114\pi\) | |||||||
\(504\) | −0.242765 | + | 0.747153i | −0.0108136 | + | 0.0332808i | ||||
\(505\) | −2.23109 | + | 8.52381i | −0.0992822 | + | 0.379305i | ||||
\(506\) | −0.979906 | − | 3.01584i | −0.0435622 | − | 0.134071i | ||||
\(507\) | 13.9241i | 0.618392i | ||||||||
\(508\) | −7.47229 | + | 2.42790i | −0.331529 | + | 0.107720i | ||||
\(509\) | −8.23792 | − | 5.98520i | −0.365139 | − | 0.265289i | 0.390053 | − | 0.920792i | \(-0.372457\pi\) |
−0.755192 | + | 0.655503i | \(0.772457\pi\) | |||||||
\(510\) | 1.10961 | − | 0.433332i | 0.0491342 | − | 0.0191883i | ||||
\(511\) | −0.429585 | + | 0.312111i | −0.0190037 | + | 0.0138070i | ||||
\(512\) | −12.9535 | + | 17.8290i | −0.572469 | + | 0.787936i | ||||
\(513\) | 3.11049 | − | 4.28122i | 0.137331 | − | 0.189020i | ||||
\(514\) | −2.30386 | + | 1.67385i | −0.101619 | + | 0.0738304i | ||||
\(515\) | −14.5275 | + | 22.6568i | −0.640160 | + | 0.998378i | ||||
\(516\) | −0.743201 | − | 0.539967i | −0.0327176 | − | 0.0237707i | ||||
\(517\) | −11.7237 | + | 3.80925i | −0.515607 | + | 0.167531i | ||||
\(518\) | − | 0.252111i | − | 0.0110771i | ||||||
\(519\) | 0.801819 | + | 2.46775i | 0.0351960 | + | 0.108322i | ||||
\(520\) | −1.80633 | − | 1.15822i | −0.0792128 | − | 0.0507912i | ||||
\(521\) | 4.00401 | − | 12.3231i | 0.175419 | − | 0.539884i | −0.824233 | − | 0.566250i | \(-0.808394\pi\) |
0.999652 | + | 0.0263663i | \(0.00839362\pi\) | |||||||
\(522\) | −1.42018 | − | 0.461444i | −0.0621595 | − | 0.0201968i | ||||
\(523\) | −8.57687 | − | 11.8050i | −0.375040 | − | 0.516199i | 0.579222 | − | 0.815170i | \(-0.303357\pi\) |
−0.954262 | + | 0.298971i | \(0.903357\pi\) | |||||||
\(524\) | 33.6016 | 1.46789 | ||||||||
\(525\) | −1.27185 | + | 1.17215i | −0.0555081 | + | 0.0511570i | ||||
\(526\) | 9.16534 | 0.399628 | ||||||||
\(527\) | 6.25942 | + | 8.61536i | 0.272665 | + | 0.375291i | ||||
\(528\) | 5.52949 | + | 1.79664i | 0.240640 | + | 0.0781887i | ||||
\(529\) | −1.42513 | + | 4.38611i | −0.0619623 | + | 0.190700i | ||||
\(530\) | 2.69634 | − | 0.156982i | 0.117122 | − | 0.00681886i | ||||
\(531\) | −2.54541 | − | 7.83395i | −0.110461 | − | 0.339965i | ||||
\(532\) | − | 0.580993i | − | 0.0251892i | ||||||
\(533\) | 4.99916 | − | 1.62433i | 0.216538 | − | 0.0703574i | ||||
\(534\) | 3.84612 | + | 2.79437i | 0.166438 | + | 0.120924i | ||||
\(535\) | 1.34735 | + | 0.352666i | 0.0582510 | + | 0.0152471i | ||||
\(536\) | 12.4733 | − | 9.06241i | 0.538766 | − | 0.391437i | ||||
\(537\) | 4.50149 | − | 6.19577i | 0.194254 | − | 0.267367i | ||||
\(538\) | 2.45600 | − | 3.38040i | 0.105886 | − | 0.145739i | ||||
\(539\) | −9.13651 | + | 6.63806i | −0.393537 | + | 0.285921i | ||||
\(540\) | 1.28194 | + | 22.0188i | 0.0551659 | + | 0.947536i | ||||
\(541\) | −18.4539 | − | 13.4075i | −0.793394 | − | 0.576435i | 0.115575 | − | 0.993299i | \(-0.463129\pi\) |
−0.908969 | + | 0.416864i | \(0.863129\pi\) | |||||||
\(542\) | 1.80296 | − | 0.585818i | 0.0774439 | − | 0.0251630i | ||||
\(543\) | 4.55859i | 0.195628i | ||||||||
\(544\) | −1.62133 | − | 4.98995i | −0.0695141 | − | 0.213942i | ||||
\(545\) | −31.9795 | + | 26.2047i | −1.36985 | + | 1.12249i | ||||
\(546\) | 0.0265477 | − | 0.0817053i | 0.00113613 | − | 0.00349666i | ||||
\(547\) | 5.23210 | + | 1.70001i | 0.223708 | + | 0.0726873i | 0.418727 | − | 0.908112i | \(-0.362477\pi\) |
−0.195018 | + | 0.980800i | \(0.562477\pi\) | |||||||
\(548\) | −2.64219 | − | 3.63666i | −0.112869 | − | 0.155350i | ||||
\(549\) | 17.0324 | 0.726925 | ||||||||
\(550\) | 2.04485 | + | 2.21877i | 0.0871926 | + | 0.0946088i | ||||
\(551\) | 2.28930 | 0.0975273 | ||||||||
\(552\) | 4.88536 | + | 6.72412i | 0.207935 | + | 0.286198i | ||||
\(553\) | 3.26972 | + | 1.06240i | 0.139043 | + | 0.0451777i | ||||
\(554\) | 1.71486 | − | 5.27779i | 0.0728573 | − | 0.224232i | ||||
\(555\) | −1.97946 | − | 5.06869i | −0.0840235 | − | 0.215154i | ||||
\(556\) | 2.40909 | + | 7.41443i | 0.102168 | + | 0.314442i | ||||
\(557\) | 42.1332i | 1.78524i | 0.450809 | + | 0.892620i | \(0.351135\pi\) | ||||
−0.450809 | + | 0.892620i | \(0.648865\pi\) | |||||||
\(558\) | 5.07632 | − | 1.64940i | 0.214898 | − | 0.0698245i | ||||
\(559\) | −0.241902 | − | 0.175752i | −0.0102314 | − | 0.00743353i | ||||
\(560\) | 1.41459 | + | 1.72632i | 0.0597771 | + | 0.0729502i | ||||
\(561\) | −1.91161 | + | 1.38886i | −0.0807082 | + | 0.0586379i | ||||
\(562\) | −1.58597 | + | 2.18290i | −0.0668999 | + | 0.0920799i | ||||
\(563\) | −13.5153 | + | 18.6022i | −0.569603 | + | 0.783991i | −0.992508 | − | 0.122183i | \(-0.961010\pi\) |
0.422905 | + | 0.906174i | \(0.361010\pi\) | |||||||
\(564\) | 12.6094 | − | 9.16124i | 0.530950 | − | 0.385758i | ||||
\(565\) | 2.72687 | + | 3.32779i | 0.114720 | + | 0.140001i | ||||
\(566\) | 8.55990 | + | 6.21913i | 0.359799 | + | 0.261409i | ||||
\(567\) | −0.168303 | + | 0.0546850i | −0.00706807 | + | 0.00229656i | ||||
\(568\) | − | 5.15043i | − | 0.216107i | ||||||
\(569\) | −8.32882 | − | 25.6335i | −0.349162 | − | 1.07461i | −0.959318 | − | 0.282329i | \(-0.908893\pi\) |
0.610155 | − | 0.792282i | \(-0.291107\pi\) | |||||||
\(570\) | 0.332977 | + | 0.852633i | 0.0139469 | + | 0.0357129i | ||||
\(571\) | 5.08090 | − | 15.6374i | 0.212629 | − | 0.654405i | −0.786684 | − | 0.617355i | \(-0.788204\pi\) |
0.999313 | − | 0.0370495i | \(-0.0117959\pi\) | |||||||
\(572\) | 1.95272 | + | 0.634476i | 0.0816472 | + | 0.0265288i | ||||
\(573\) | 2.69235 | + | 3.70570i | 0.112474 | + | 0.154808i | ||||
\(574\) | 0.897602 | 0.0374652 | ||||||||
\(575\) | −3.04897 | − | 26.0960i | −0.127151 | − | 1.08828i | ||||
\(576\) | 8.69550 | 0.362313 | ||||||||
\(577\) | −22.4481 | − | 30.8972i | −0.934529 | − | 1.28627i | −0.958067 | − | 0.286545i | \(-0.907493\pi\) |
0.0235381 | − | 0.999723i | \(-0.492507\pi\) | |||||||
\(578\) | −5.36957 | − | 1.74468i | −0.223344 | − | 0.0725690i | ||||
\(579\) | 1.16280 | − | 3.57873i | 0.0483243 | − | 0.148727i | ||||
\(580\) | −7.38027 | + | 6.04757i | −0.306449 | + | 0.251112i | ||||
\(581\) | 1.47589 | + | 4.54232i | 0.0612303 | + | 0.188447i | ||||
\(582\) | − | 5.20305i | − | 0.215673i | ||||||
\(583\) | −5.09525 | + | 1.65555i | −0.211024 | + | 0.0685657i | ||||
\(584\) | −1.96427 | − | 1.42713i | −0.0812821 | − | 0.0590549i | ||||
\(585\) | 0.154741 | + | 2.65785i | 0.00639774 | + | 0.109888i | ||||
\(586\) | −6.23195 | + | 4.52778i | −0.257440 | + | 0.187041i | ||||
\(587\) | 13.7033 | − | 18.8610i | 0.565597 | − | 0.778478i | −0.426427 | − | 0.904522i | \(-0.640228\pi\) |
0.992025 | + | 0.126044i | \(0.0402280\pi\) | |||||||
\(588\) | 8.39303 | − | 11.5520i | 0.346123 | − | 0.476397i | ||||
\(589\) | −6.62012 | + | 4.80980i | −0.272777 | + | 0.198184i | ||||
\(590\) | 3.71669 | + | 0.972835i | 0.153014 | + | 0.0400510i | ||||
\(591\) | −7.55559 | − | 5.48946i | −0.310796 | − | 0.225806i | ||||
\(592\) | −6.67797 | + | 2.16980i | −0.274463 | + | 0.0891784i | ||||
\(593\) | 22.3100i | 0.916162i | 0.888910 | + | 0.458081i | \(0.151463\pi\) | ||||
−0.888910 | + | 0.458081i | \(0.848537\pi\) | |||||||
\(594\) | 0.986840 | + | 3.03718i | 0.0404905 | + | 0.124617i | ||||
\(595\) | −0.905515 | + | 0.0527194i | −0.0371225 | + | 0.00216129i | ||||
\(596\) | 4.06882 | − | 12.5225i | 0.166665 | − | 0.512943i | ||||
\(597\) | −11.1680 | − | 3.62870i | −0.457076 | − | 0.148513i | ||||
\(598\) | 0.767065 | + | 1.05577i | 0.0313676 | + | 0.0431738i | ||||
\(599\) | 2.68060 | 0.109526 | 0.0547632 | − | 0.998499i | \(-0.482560\pi\) | ||||
0.0547632 | + | 0.998499i | \(0.482560\pi\) | |||||||
\(600\) | −6.89443 | − | 3.87467i | −0.281464 | − | 0.158183i | ||||
\(601\) | 20.5985 | 0.840232 | 0.420116 | − | 0.907470i | \(-0.361989\pi\) | ||||
0.420116 | + | 0.907470i | \(0.361989\pi\) | |||||||
\(602\) | −0.0300119 | − | 0.0413079i | −0.00122319 | − | 0.00168358i | ||||
\(603\) | −18.1934 | − | 5.91140i | −0.740894 | − | 0.240731i | ||||
\(604\) | −6.19967 | + | 19.0806i | −0.252261 | + | 0.776380i | ||||
\(605\) | 15.6675 | + | 10.0460i | 0.636974 | + | 0.408428i | ||||
\(606\) | −0.498449 | − | 1.53407i | −0.0202481 | − | 0.0623173i | ||||
\(607\) | − | 14.7532i | − | 0.598813i | −0.954126 | − | 0.299406i | \(-0.903211\pi\) | ||
0.954126 | − | 0.299406i | \(-0.0967886\pi\) | |||||||
\(608\) | 3.83432 | − | 1.24585i | 0.155502 | − | 0.0505258i | ||||
\(609\) | −0.640675 | − | 0.465478i | −0.0259615 | − | 0.0188621i | ||||
\(610\) | −4.28801 | + | 6.68748i | −0.173616 | + | 0.270768i | ||||
\(611\) | 4.10418 | − | 2.98186i | 0.166037 | − | 0.120633i | ||||
\(612\) | −2.52135 | + | 3.47033i | −0.101919 | + | 0.140280i | ||||
\(613\) | −2.97532 | + | 4.09518i | −0.120172 | + | 0.165403i | −0.864865 | − | 0.502005i | \(-0.832596\pi\) |
0.744693 | + | 0.667407i | \(0.232596\pi\) | |||||||
\(614\) | −1.99668 | + | 1.45067i | −0.0805795 | + | 0.0585444i | ||||
\(615\) | 18.0463 | − | 7.04756i | 0.727695 | − | 0.284185i | ||||
\(616\) | 0.588006 | + | 0.427211i | 0.0236914 | + | 0.0172128i | ||||
\(617\) | 1.38084 | − | 0.448662i | 0.0555906 | − | 0.0180625i | −0.281090 | − | 0.959681i | \(-0.590696\pi\) |
0.336680 | + | 0.941619i | \(0.390696\pi\) | |||||||
\(618\) | − | 4.92717i | − | 0.198200i | ||||||
\(619\) | −2.27735 | − | 7.00897i | −0.0915346 | − | 0.281714i | 0.894800 | − | 0.446466i | \(-0.147318\pi\) |
−0.986335 | + | 0.164752i | \(0.947318\pi\) | |||||||
\(620\) | 8.63614 | − | 32.9941i | 0.346836 | − | 1.32508i | ||||
\(621\) | 8.59290 | − | 26.4462i | 0.344821 | − | 1.06125i | ||||
\(622\) | −6.14927 | − | 1.99802i | −0.246563 | − | 0.0801133i | ||||
\(623\) | −2.12776 | − | 2.92861i | −0.0852468 | − | 0.117332i | ||||
\(624\) | −2.39271 | −0.0957850 | ||||||||
\(625\) | 12.9984 | + | 21.3551i | 0.519938 | + | 0.854204i | ||||
\(626\) | 10.5973 | 0.423552 | ||||||||
\(627\) | −1.06722 | − | 1.46890i | −0.0426205 | − | 0.0586622i | ||||
\(628\) | −12.6723 | − | 4.11748i | −0.505680 | − | 0.164305i | ||||
\(629\) | 0.881827 | − | 2.71398i | 0.0351607 | − | 0.108214i | ||||
\(630\) | −0.115120 | + | 0.439813i | −0.00458649 | + | 0.0175226i | ||||
\(631\) | 3.85356 | + | 11.8600i | 0.153408 | + | 0.472140i | 0.997996 | − | 0.0632758i | \(-0.0201548\pi\) |
−0.844588 | + | 0.535416i | \(0.820155\pi\) | |||||||
\(632\) | 15.7202i | 0.625315i | ||||||||
\(633\) | −3.84106 | + | 1.24804i | −0.152668 | + | 0.0496050i | ||||
\(634\) | 6.48140 | + | 4.70902i | 0.257409 | + | 0.187019i | ||||
\(635\) | −8.77965 | + | 3.42870i | −0.348410 | + | 0.136064i | ||||
\(636\) | 5.48018 | − | 3.98158i | 0.217303 | − | 0.157880i | ||||
\(637\) | 2.73182 | − | 3.76003i | 0.108239 | − | 0.148978i | ||||
\(638\) | −0.812036 | + | 1.11767i | −0.0321488 | + | 0.0442491i | ||||
\(639\) | −5.16992 | + | 3.75617i | −0.204519 | + | 0.148592i | ||||
\(640\) | −11.9212 | + | 18.5921i | −0.471228 | + | 0.734917i | ||||
\(641\) | −19.5338 | − | 14.1922i | −0.771540 | − | 0.560557i | 0.130888 | − | 0.991397i | \(-0.458217\pi\) |
−0.902428 | + | 0.430840i | \(0.858217\pi\) | |||||||
\(642\) | −0.242488 | + | 0.0787892i | −0.00957025 | + | 0.00310956i | ||||
\(643\) | 8.03199i | 0.316751i | 0.987379 | + | 0.158375i | \(0.0506256\pi\) | ||||
−0.987379 | + | 0.158375i | \(0.949374\pi\) | |||||||
\(644\) | −0.943411 | − | 2.90352i | −0.0371756 | − | 0.114415i | ||||
\(645\) | −0.927719 | − | 0.594853i | −0.0365289 | − | 0.0234223i | ||||
\(646\) | −0.148337 | + | 0.456535i | −0.00583624 | + | 0.0179621i | ||||
\(647\) | 2.24545 | + | 0.729592i | 0.0882779 | + | 0.0286832i | 0.352823 | − | 0.935690i | \(-0.385222\pi\) |
−0.264545 | + | 0.964373i | \(0.585222\pi\) | |||||||
\(648\) | −0.475617 | − | 0.654630i | −0.0186840 | − | 0.0257163i | ||||
\(649\) | −7.62071 | −0.299139 | ||||||||
\(650\) | −1.08251 | − | 0.608373i | −0.0424597 | − | 0.0238623i | ||||
\(651\) | 2.83065 | 0.110942 | ||||||||
\(652\) | 8.47145 | + | 11.6600i | 0.331768 | + | 0.456639i | ||||
\(653\) | 11.2859 | + | 3.66701i | 0.441651 | + | 0.143501i | 0.521397 | − | 0.853314i | \(-0.325411\pi\) |
−0.0797464 | + | 0.996815i | \(0.525411\pi\) | |||||||
\(654\) | 2.33892 | − | 7.19846i | 0.0914591 | − | 0.281482i | ||||
\(655\) | 40.2418 | − | 2.34289i | 1.57238 | − | 0.0915443i | ||||
\(656\) | −7.72524 | − | 23.7758i | −0.301620 | − | 0.928291i | ||||
\(657\) | 3.01250i | 0.117529i | ||||||||
\(658\) | 0.823887 | − | 0.267697i | 0.0321185 | − | 0.0104359i | ||||
\(659\) | 30.1386 | + | 21.8970i | 1.17403 | + | 0.852986i | 0.991486 | − | 0.130211i | \(-0.0415653\pi\) |
0.182549 | + | 0.983197i | \(0.441565\pi\) | |||||||
\(660\) | 7.32086 | + | 1.91622i | 0.284964 | + | 0.0745887i | ||||
\(661\) | 10.1845 | − | 7.39949i | 0.396132 | − | 0.287807i | −0.371831 | − | 0.928300i | \(-0.621270\pi\) |
0.767964 | + | 0.640493i | \(0.221270\pi\) | |||||||
\(662\) | −4.09189 | + | 5.63200i | −0.159036 | + | 0.218894i | ||||
\(663\) | 0.571572 | − | 0.786702i | 0.0221980 | − | 0.0305530i | ||||
\(664\) | −17.6678 | + | 12.8364i | −0.685643 | + | 0.498149i | ||||
\(665\) | −0.0405101 | − | 0.695807i | −0.00157091 | − | 0.0269822i | ||||
\(666\) | −1.15714 | − | 0.840710i | −0.0448382 | − | 0.0325769i | ||||
\(667\) | 11.4408 | − | 3.71734i | 0.442989 | − | 0.143936i | ||||
\(668\) | − | 35.9252i | − | 1.38999i | ||||||
\(669\) | −4.47677 | − | 13.7781i | −0.173082 | − | 0.532692i | ||||
\(670\) | 6.90132 | − | 5.65511i | 0.266621 | − | 0.218476i | ||||
\(671\) | 4.86944 | − | 14.9866i | 0.187982 | − | 0.578551i | ||||
\(672\) | −1.32638 | − | 0.430966i | −0.0511661 | − | 0.0166249i | ||||
\(673\) | −6.66421 | − | 9.17250i | −0.256886 | − | 0.353574i | 0.661022 | − | 0.750367i | \(-0.270123\pi\) |
−0.917908 | + | 0.396793i | \(0.870123\pi\) | |||||||
\(674\) | −12.1972 | −0.469820 | ||||||||
\(675\) | 3.07054 | + | 26.2806i | 0.118185 | + | 1.01154i | ||||
\(676\) | 23.3863 | 0.899473 | ||||||||
\(677\) | −9.39844 | − | 12.9358i | −0.361212 | − | 0.497165i | 0.589274 | − | 0.807933i | \(-0.299414\pi\) |
−0.950486 | + | 0.310768i | \(0.899414\pi\) | |||||||
\(678\) | −0.749072 | − | 0.243388i | −0.0287680 | − | 0.00934727i | ||||
\(679\) | −1.22428 | + | 3.76793i | −0.0469834 | + | 0.144600i | ||||
\(680\) | −1.50873 | − | 3.86332i | −0.0578572 | − | 0.148151i | ||||
\(681\) | −7.48667 | − | 23.0416i | −0.286890 | − | 0.882957i | ||||
\(682\) | − | 4.93814i | − | 0.189091i | ||||||
\(683\) | 46.4112 | − | 15.0799i | 1.77588 | − | 0.577017i | 0.777239 | − | 0.629205i | \(-0.216620\pi\) |
0.998637 | + | 0.0521882i | \(0.0166196\pi\) | |||||||
\(684\) | −2.66664 | − | 1.93743i | −0.101961 | − | 0.0740794i | ||||
\(685\) | −3.41790 | − | 4.17109i | −0.130591 | − | 0.159369i | ||||
\(686\) | 1.29318 | − | 0.939552i | 0.0493739 | − | 0.0358723i | ||||
\(687\) | −4.23611 | + | 5.83051i | −0.161618 | + | 0.222448i | ||||
\(688\) | −0.835872 | + | 1.15048i | −0.0318673 | + | 0.0438616i | ||||
\(689\) | 1.78373 | − | 1.29595i | 0.0679545 | − | 0.0493718i | ||||
\(690\) | 3.04855 | + | 3.72036i | 0.116056 | + | 0.141632i | ||||
\(691\) | −9.02732 | − | 6.55874i | −0.343416 | − | 0.249506i | 0.402686 | − | 0.915338i | \(-0.368077\pi\) |
−0.746102 | + | 0.665832i | \(0.768077\pi\) | |||||||
\(692\) | 4.14470 | − | 1.34670i | 0.157558 | − | 0.0511937i | ||||
\(693\) | − | 0.901793i | − | 0.0342563i | ||||||
\(694\) | −2.53326 | − | 7.79656i | −0.0961611 | − | 0.295953i | ||||
\(695\) | 3.40214 | + | 8.71166i | 0.129051 | + | 0.330452i | ||||
\(696\) | 1.11896 | − | 3.44381i | 0.0424141 | − | 0.130537i | ||||
\(697\) | 9.66270 | + | 3.13960i | 0.366001 | + | 0.118921i | ||||
\(698\) | −6.28346 | − | 8.64844i | −0.237832 | − | 0.327348i | ||||
\(699\) | −12.8828 | −0.487273 | ||||||||
\(700\) | 1.96869 | + | 2.13614i | 0.0744095 | + | 0.0807384i | ||||
\(701\) | −25.5975 | −0.966803 | −0.483401 | − | 0.875399i | \(-0.660599\pi\) | ||||
−0.483401 | + | 0.875399i | \(0.660599\pi\) | |||||||
\(702\) | −0.772493 | − | 1.06324i | −0.0291559 | − | 0.0401296i | ||||
\(703\) | 2.08545 | + | 0.677604i | 0.0786543 | + | 0.0255563i | ||||
\(704\) | 2.48598 | − | 7.65106i | 0.0936939 | − | 0.288360i | ||||
\(705\) | 14.4624 | − | 11.8508i | 0.544685 | − | 0.446328i | ||||
\(706\) | 3.10323 | + | 9.55077i | 0.116792 | + | 0.359448i | ||||
\(707\) | 1.22822i | 0.0461920i | ||||||||
\(708\) | 9.16388 | − | 2.97752i | 0.344400 | − | 0.111902i | ||||
\(709\) | −17.6536 | − | 12.8261i | −0.662993 | − | 0.481693i | 0.204679 | − | 0.978829i | \(-0.434385\pi\) |
−0.867672 | + | 0.497136i | \(0.834385\pi\) | |||||||
\(710\) | −0.173236 | − | 2.97552i | −0.00650143 | − | 0.111669i | ||||
\(711\) | 15.7797 | − | 11.4646i | 0.591784 | − | 0.429956i | ||||
\(712\) | 9.72915 | − | 13.3910i | 0.364615 | − | 0.501850i | ||||
\(713\) | −25.2740 | + | 34.7867i | −0.946521 | + | 1.30277i | ||||
\(714\) | 0.134339 | − | 0.0976032i | 0.00502752 | − | 0.00365271i | ||||
\(715\) | 2.38284 | + | 0.623704i | 0.0891133 | + | 0.0233252i | ||||
\(716\) | −10.4061 | − | 7.56048i | −0.388894 | − | 0.282548i | ||||
\(717\) | 18.0336 | − | 5.85948i | 0.673478 | − | 0.218826i | ||||
\(718\) | − | 3.26119i | − | 0.121707i | ||||||
\(719\) | 4.94412 | + | 15.2164i | 0.184385 | + | 0.567477i | 0.999937 | − | 0.0112056i | \(-0.00356694\pi\) |
−0.815553 | + | 0.578683i | \(0.803567\pi\) | |||||||
\(720\) | 12.6406 | − | 0.735942i | 0.471088 | − | 0.0274269i | ||||
\(721\) | −1.15936 | + | 3.56815i | −0.0431769 | + | 0.132885i | ||||
\(722\) | −0.350806 | − | 0.113984i | −0.0130556 | − | 0.00424203i | ||||
\(723\) | −2.29784 | − | 3.16271i | −0.0854578 | − | 0.117623i | ||||
\(724\) | 7.65638 | 0.284547 | ||||||||
\(725\) | −8.41706 | + | 7.75726i | −0.312602 | + | 0.288098i | ||||
\(726\) | −3.40721 | −0.126453 | ||||||||
\(727\) | −30.5904 | − | 42.1041i | −1.13454 | − | 1.56155i | −0.779152 | − | 0.626834i | \(-0.784350\pi\) |
−0.355384 | − | 0.934721i | \(-0.615650\pi\) | |||||||
\(728\) | −0.284473 | − | 0.0924309i | −0.0105433 | − | 0.00342572i | ||||
\(729\) | −5.75468 | + | 17.7111i | −0.213136 | + | 0.655966i | ||||
\(730\) | −1.18281 | − | 0.758414i | −0.0437776 | − | 0.0280702i | ||||
\(731\) | −0.178594 | − | 0.549655i | −0.00660552 | − | 0.0203297i | ||||
\(732\) | 19.9239i | 0.736408i | ||||||||
\(733\) | 45.6981 | − | 14.8482i | 1.68790 | − | 0.548431i | 0.701479 | − | 0.712690i | \(-0.252523\pi\) |
0.986417 | + | 0.164259i | \(0.0525234\pi\) | |||||||
\(734\) | 3.36102 | + | 2.44192i | 0.124057 | + | 0.0901330i | ||||
\(735\) | 9.24616 | − | 14.4201i | 0.341050 | − | 0.531893i | ||||
\(736\) | 17.1391 | − | 12.4523i | 0.631755 | − | 0.458997i | ||||
\(737\) | −10.4027 | + | 14.3181i | −0.383190 | + | 0.527415i | ||||
\(738\) | 2.99321 | − | 4.11981i | 0.110182 | − | 0.151652i | ||||
\(739\) | −22.9695 | + | 16.6883i | −0.844947 | + | 0.613890i | −0.923748 | − | 0.383000i | \(-0.874891\pi\) |
0.0788012 | + | 0.996890i | \(0.474891\pi\) | |||||||
\(740\) | −8.51312 | + | 3.32461i | −0.312948 | + | 0.122215i | ||||
\(741\) | 0.604509 | + | 0.439202i | 0.0222072 | + | 0.0161345i | ||||
\(742\) | 0.358071 | − | 0.116344i | 0.0131452 | − | 0.00427114i | ||||
\(743\) | − | 19.0875i | − | 0.700253i | −0.936702 | − | 0.350126i | \(-0.886139\pi\) | ||
0.936702 | − | 0.350126i | \(-0.113861\pi\) | |||||||
\(744\) | 3.99964 | + | 12.3096i | 0.146634 | + | 0.451293i | ||||
\(745\) | 3.99974 | − | 15.2809i | 0.146539 | − | 0.559849i | ||||
\(746\) | −1.99030 | + | 6.12551i | −0.0728700 | + | 0.224271i | ||||
\(747\) | 25.7700 | + | 8.37317i | 0.942873 | + | 0.306358i | ||||
\(748\) | 2.33267 | + | 3.21064i | 0.0852908 | + | 0.117393i | ||||
\(749\) | 0.194144 | 0.00709385 | ||||||||
\(750\) | −4.11339 | − | 2.00659i | −0.150200 | − | 0.0732702i | ||||
\(751\) | 16.0854 | 0.586965 | 0.293482 | − | 0.955964i | \(-0.405186\pi\) | ||||
0.293482 | + | 0.955964i | \(0.405186\pi\) | |||||||
\(752\) | −14.1816 | − | 19.5193i | −0.517151 | − | 0.711797i | ||||
\(753\) | 22.2243 | + | 7.22110i | 0.809898 | + | 0.263152i | ||||
\(754\) | 0.175691 | − | 0.540722i | 0.00639830 | − | 0.0196919i | ||||
\(755\) | −6.09442 | + | 23.2835i | −0.221799 | + | 0.847375i | ||||
\(756\) | 0.950087 | + | 2.92407i | 0.0345543 | + | 0.106347i | ||||
\(757\) | − | 7.64700i | − | 0.277935i | −0.990297 | − | 0.138968i | \(-0.955622\pi\) | ||
0.990297 | − | 0.138968i | \(-0.0443784\pi\) | |||||||
\(758\) | −6.76741 | + | 2.19886i | −0.245803 | + | 0.0798663i | ||||
\(759\) | −7.71861 | − | 5.60790i | −0.280168 | − | 0.203554i | ||||
\(760\) | 2.96861 | − | 1.15932i | 0.107683 | − | 0.0420531i | ||||
\(761\) | −5.09895 | + | 3.70461i | −0.184837 | + | 0.134292i | −0.676356 | − | 0.736575i | \(-0.736442\pi\) |
0.491519 | + | 0.870867i | \(0.336442\pi\) | |||||||
\(762\) | 1.01422 | − | 1.39596i | 0.0367414 | − | 0.0505702i | ||||
\(763\) | −3.38759 | + | 4.66261i | −0.122639 | + | 0.168798i | ||||
\(764\) | 6.22391 | − | 4.52194i | 0.225173 | − | 0.163598i | ||||
\(765\) | −2.77763 | + | 4.33193i | −0.100426 | + | 0.156621i | ||||
\(766\) | 1.84171 | + | 1.33808i | 0.0665438 | + | 0.0483469i | ||||
\(767\) | 2.98272 | − | 0.969145i | 0.107700 | − | 0.0349938i | ||||
\(768\) | 6.87094i | 0.247934i | ||||||||
\(769\) | −3.32967 | − | 10.2477i | −0.120071 | − | 0.369541i | 0.872900 | − | 0.487899i | \(-0.162237\pi\) |
−0.992971 | + | 0.118359i | \(0.962237\pi\) | |||||||
\(770\) | 0.354073 | + | 0.227032i | 0.0127599 | + | 0.00818166i | ||||
\(771\) | −2.64765 | + | 8.14862i | −0.0953526 | + | 0.293465i | ||||
\(772\) | −6.01066 | − | 1.95298i | −0.216328 | − | 0.0702893i | ||||
\(773\) | −29.2089 | − | 40.2026i | −1.05057 | − | 1.44599i | −0.888312 | − | 0.459240i | \(-0.848122\pi\) |
−0.162259 | − | 0.986748i | \(-0.551878\pi\) | |||||||
\(774\) | −0.289675 | −0.0104121 | ||||||||
\(775\) | 8.04224 | − | 40.1164i | 0.288886 | − | 1.44102i | ||||
\(776\) | −18.1155 | −0.650307 | ||||||||
\(777\) | −0.445852 | − | 0.613662i | −0.0159948 | − | 0.0220150i | ||||
\(778\) | −0.883401 | − | 0.287034i | −0.0316714 | − | 0.0102907i | ||||
\(779\) | −2.41250 | + | 7.42492i | −0.0864368 | + | 0.266025i | ||||
\(780\) | −3.10905 | + | 0.181010i | −0.111322 | + | 0.00648121i | ||||
\(781\) | 1.82696 | + | 5.62281i | 0.0653738 | + | 0.201200i | ||||
\(782\) | 2.52241i | 0.0902010i | ||||||||
\(783\) | −11.5217 | + | 3.74364i | −0.411754 | + | 0.133787i | ||||
\(784\) | −17.8826 | − | 12.9925i | −0.638663 | − | 0.464016i | ||||
\(785\) | −15.4636 | − | 4.04758i | −0.551921 | − | 0.144464i | ||||
\(786\) | −5.97014 | + | 4.33756i | −0.212948 | + | 0.154716i | ||||
\(787\) | 32.0921 | − | 44.1709i | 1.14396 | − | 1.57452i | 0.385626 | − | 0.922655i | \(-0.373986\pi\) |
0.758333 | − | 0.651868i | \(-0.226014\pi\) | |||||||
\(788\) | −9.21983 | + | 12.6900i | −0.328443 | + | 0.452063i | ||||
\(789\) | 22.3093 | − | 16.2086i | 0.794232 | − | 0.577043i | ||||
\(790\) | 0.528751 | + | 9.08190i | 0.0188121 | + | 0.323119i | ||||
\(791\) | 0.485192 | + | 0.352513i | 0.0172514 | + | 0.0125339i | ||||
\(792\) | 3.92162 | − | 1.27421i | 0.139349 | − | 0.0452771i | ||||
\(793\) | 6.48496i | 0.230288i | ||||||||
\(794\) | −4.30362 | − | 13.2452i | −0.152730 | − | 0.470053i | ||||
\(795\) | 6.28553 | − | 5.15051i | 0.222925 | − | 0.182670i | ||||
\(796\) | −6.09459 | + | 18.7572i | −0.216017 | + | 0.664832i | ||||
\(797\) | −26.7436 | − | 8.68952i | −0.947307 | − | 0.307799i | −0.205686 | − | 0.978618i | \(-0.565943\pi\) |
−0.741621 | + | 0.670819i | \(0.765943\pi\) | |||||||
\(798\) | 0.0749992 | + | 0.103228i | 0.00265494 | + | 0.00365422i | ||||
\(799\) | 9.80551 | 0.346894 | ||||||||
\(800\) | −9.87612 | + | 17.5732i | −0.349174 | + | 0.621306i | ||||
\(801\) | −20.5371 | −0.725643 | ||||||||
\(802\) | −8.42268 | − | 11.5928i | −0.297415 | − | 0.409357i | ||||
\(803\) | 2.65066 | + | 0.861251i | 0.0935396 | + | 0.0303929i | ||||
\(804\) | 6.91495 | − | 21.2820i | 0.243871 | − | 0.750559i | ||||
\(805\) | −1.33229 | − | 3.41152i | −0.0469572 | − | 0.120240i | ||||
\(806\) | 0.627996 | + | 1.93277i | 0.0221202 | + | 0.0680790i | ||||
\(807\) | − | 12.5716i | − | 0.442540i | ||||||
\(808\) | −5.34116 | + | 1.73545i | −0.187901 | + | 0.0610529i | ||||
\(809\) | 21.3936 | + | 15.5434i | 0.752160 | + | 0.546476i | 0.896496 | − | 0.443053i | \(-0.146105\pi\) |
−0.144336 | + | 0.989529i | \(0.546105\pi\) | |||||||
\(810\) | −0.296793 | − | 0.362197i | −0.0104283 | − | 0.0127263i | ||||
\(811\) | −3.70509 | + | 2.69191i | −0.130103 | + | 0.0945256i | −0.650934 | − | 0.759135i | \(-0.725622\pi\) |
0.520830 | + | 0.853660i | \(0.325622\pi\) | |||||||
\(812\) | −0.781793 | + | 1.07605i | −0.0274356 | + | 0.0377618i | ||||
\(813\) | 3.35258 | − | 4.61442i | 0.117580 | − | 0.161835i | ||||
\(814\) | −1.07055 | + | 0.777798i | −0.0375227 | + | 0.0272618i | ||||
\(815\) | 10.9585 | + | 13.3735i | 0.383861 | + | 0.468452i | ||||
\(816\) | −3.74153 | − | 2.71838i | −0.130980 | − | 0.0951623i | ||||
\(817\) | 0.422360 | − | 0.137233i | 0.0147765 | − | 0.00480118i | ||||
\(818\) | 2.99153i | 0.104596i | ||||||||
\(819\) | 0.114683 | + | 0.352959i | 0.00400736 | + | 0.0123334i | ||||
\(820\) | −11.8367 | − | 30.3096i | −0.413357 | − | 1.05846i | ||||
\(821\) | −9.90193 | + | 30.4750i | −0.345580 | + | 1.06358i | 0.615693 | + | 0.787986i | \(0.288876\pi\) |
−0.961273 | + | 0.275599i | \(0.911124\pi\) | |||||||
\(822\) | 0.938898 | + | 0.305067i | 0.0327478 | + | 0.0106404i | ||||
\(823\) | 10.5716 | + | 14.5505i | 0.368502 | + | 0.507199i | 0.952493 | − | 0.304561i | \(-0.0985098\pi\) |
−0.583991 | + | 0.811760i | \(0.698510\pi\) | |||||||
\(824\) | −17.1549 | −0.597620 | ||||||||
\(825\) | 8.90119 | + | 1.78444i | 0.309900 | + | 0.0621263i | ||||
\(826\) | 0.535549 | 0.0186341 | ||||||||
\(827\) | −3.56552 | − | 4.90752i | −0.123985 | − | 0.170651i | 0.742512 | − | 0.669833i | \(-0.233634\pi\) |
−0.866498 | + | 0.499181i | \(0.833634\pi\) | |||||||
\(828\) | −16.4725 | − | 5.35225i | −0.572460 | − | 0.186004i | ||||
\(829\) | 10.4222 | − | 32.0763i | 0.361979 | − | 1.11406i | −0.589873 | − | 0.807496i | \(-0.700822\pi\) |
0.951851 | − | 0.306560i | \(-0.0991779\pi\) | |||||||
\(830\) | −9.77532 | + | 8.01014i | −0.339306 | + | 0.278036i | ||||
\(831\) | −5.15950 | − | 15.8793i | −0.178981 | − | 0.550847i | ||||
\(832\) | 3.31075i | 0.114780i | ||||||||
\(833\) | 8.54361 | − | 2.77599i | 0.296019 | − | 0.0961823i | ||||
\(834\) | −1.38515 | − | 1.00637i | −0.0479637 | − | 0.0348477i | ||||
\(835\) | −2.50491 | − | 43.0246i | −0.0866859 | − | 1.48893i | ||||
\(836\) | −2.46709 | + | 1.79245i | −0.0853261 | + | 0.0619930i | ||||
\(837\) | 25.4529 | − | 35.0329i | 0.879780 | − | 1.21091i | ||||
\(838\) | 1.64947 | − | 2.27030i | 0.0569800 | − | 0.0784263i | ||||
\(839\) | −32.1630 | + | 23.3678i | −1.11039 | + | 0.806747i | −0.982725 | − | 0.185071i | \(-0.940749\pi\) |
−0.127666 | + | 0.991817i | \(0.540749\pi\) | |||||||
\(840\) | −1.06651 | − | 0.279156i | −0.0367980 | − | 0.00963180i | ||||
\(841\) | 19.2215 | + | 13.9653i | 0.662811 | + | 0.481561i | ||||
\(842\) | 4.87469 | − | 1.58388i | 0.167993 | − | 0.0545843i | ||||
\(843\) | 8.11811i | 0.279602i | ||||||||
\(844\) | 2.09614 | + | 6.45126i | 0.0721521 | + | 0.222061i | ||||
\(845\) | 28.0078 | − | 1.63062i | 0.963497 | − | 0.0560952i | ||||
\(846\) | 1.51873 | − | 4.67416i | 0.0522149 | − | 0.160701i | ||||
\(847\) | 2.46742 | + | 0.801714i | 0.0847817 | + | 0.0275472i | ||||
\(848\) | −6.16350 | − | 8.48334i | −0.211656 | − | 0.291319i | ||||
\(849\) | 31.8339 | 1.09254 | ||||||||
\(850\) | −1.00157 | − | 2.18118i | −0.0343537 | − | 0.0748138i | ||||
\(851\) | 11.5224 | 0.394981 | ||||||||
\(852\) | −4.39383 | − | 6.04759i | −0.150530 | − | 0.207187i | ||||
\(853\) | 47.5274 | + | 15.4426i | 1.62731 | + | 0.528744i | 0.973650 | − | 0.228047i | \(-0.0732340\pi\) |
0.653657 | + | 0.756791i | \(0.273234\pi\) | |||||||
\(854\) | −0.342202 | + | 1.05319i | −0.0117099 | + | 0.0360394i | ||||
\(855\) | −3.32870 | − | 2.13436i | −0.113839 | − | 0.0729936i | ||||
\(856\) | 0.274320 | + | 0.844271i | 0.00937608 | + | 0.0288566i | ||||
\(857\) | 29.8274i | 1.01888i | 0.860505 | + | 0.509442i | \(0.170148\pi\) | ||||
−0.860505 | + | 0.509442i | \(0.829852\pi\) | |||||||
\(858\) | −0.428851 | + | 0.139342i | −0.0146407 | + | 0.00475706i | ||||
\(859\) | 30.1634 | + | 21.9150i | 1.02916 | + | 0.747729i | 0.968140 | − | 0.250408i | \(-0.0805647\pi\) |
0.0610199 | + | 0.998137i | \(0.480565\pi\) | |||||||
\(860\) | −0.999086 | + | 1.55815i | −0.0340685 | + | 0.0531325i | ||||
\(861\) | 2.18485 | − | 1.58738i | 0.0744593 | − | 0.0540979i | ||||
\(862\) | −2.37615 | + | 3.27049i | −0.0809319 | + | 0.111393i | ||||
\(863\) | −5.87441 | + | 8.08543i | −0.199967 | + | 0.275231i | −0.897210 | − | 0.441604i | \(-0.854410\pi\) |
0.697243 | + | 0.716835i | \(0.254410\pi\) | |||||||
\(864\) | −17.2604 | + | 12.5404i | −0.587210 | + | 0.426633i | ||||
\(865\) | 4.86986 | − | 1.90182i | 0.165580 | − | 0.0646637i | ||||
\(866\) | 10.7817 | + | 7.83336i | 0.366377 | + | 0.266188i | ||||
\(867\) | −16.1554 | + | 5.24922i | −0.548667 | + | 0.178273i | ||||
\(868\) | − | 4.75422i | − | 0.161369i | ||||||
\(869\) | −5.57626 | − | 17.1620i | −0.189162 | − | 0.582180i | ||||
\(870\) | 0.530616 | − | 2.02720i | 0.0179896 | − | 0.0687286i | ||||
\(871\) | 2.25073 | − | 6.92702i | 0.0762629 | − | 0.234713i | ||||
\(872\) | −25.0629 | − | 8.14342i | −0.848736 | − | 0.275771i | ||||
\(873\) | 13.2115 | + | 18.1840i | 0.447140 | + | 0.615436i | ||||
\(874\) | −1.93824 | −0.0655620 | ||||||||
\(875\) | 2.50668 | + | 2.42100i | 0.0847412 | + | 0.0818449i | ||||
\(876\) | −3.52391 | −0.119062 | ||||||||
\(877\) | −6.28647 | − | 8.65259i | −0.212279 | − | 0.292177i | 0.689578 | − | 0.724211i | \(-0.257796\pi\) |
−0.901857 | + | 0.432034i | \(0.857796\pi\) | |||||||
\(878\) | 5.49448 | + | 1.78526i | 0.185430 | + | 0.0602497i | ||||
\(879\) | −7.16190 | + | 22.0421i | −0.241565 | + | 0.743461i | ||||
\(880\) | 2.96632 | − | 11.3327i | 0.0999945 | − | 0.382026i | ||||
\(881\) | 13.9024 | + | 42.7873i | 0.468385 | + | 1.44154i | 0.854675 | + | 0.519163i | \(0.173756\pi\) |
−0.386291 | + | 0.922377i | \(0.626244\pi\) | |||||||
\(882\) | − | 4.50259i | − | 0.151610i | ||||||
\(883\) | −6.03467 | + | 1.96078i | −0.203083 | + | 0.0659856i | −0.408792 | − | 0.912628i | \(-0.634050\pi\) |
0.205709 | + | 0.978613i | \(0.434050\pi\) | |||||||
\(884\) | −1.32131 | − | 0.959985i | −0.0444403 | − | 0.0322878i | ||||
\(885\) | 10.7672 | − | 4.20489i | 0.361935 | − | 0.141346i | ||||
\(886\) | 4.86368 | − | 3.53367i | 0.163398 | − | 0.118716i | ||||
\(887\) | 7.42499 | − | 10.2196i | 0.249307 | − | 0.343141i | −0.665962 | − | 0.745986i | \(-0.731979\pi\) |
0.915268 | + | 0.402845i | \(0.131979\pi\) | |||||||
\(888\) | 2.03865 | − | 2.80596i | 0.0684126 | − | 0.0941619i | ||||
\(889\) | −1.06295 | + | 0.772275i | −0.0356500 | + | 0.0259013i | ||||
\(890\) | 5.17034 | − | 8.06354i | 0.173310 | − | 0.270291i | ||||
\(891\) | 0.751450 | + | 0.545960i | 0.0251745 | + | 0.0182904i | ||||
\(892\) | −23.1410 | + | 7.51897i | −0.774818 | + | 0.251754i | ||||
\(893\) | 7.53465i | 0.252137i | ||||||||
\(894\) | 0.893585 | + | 2.75017i | 0.0298859 | + | 0.0919795i | ||||
\(895\) | −12.9897 | − | 8.32898i | −0.434197 | − | 0.278407i | ||||
\(896\) | −0.951368 | + | 2.92801i | −0.0317830 | + | 0.0978179i | ||||
\(897\) | 3.73421 | + | 1.21332i | 0.124682 | + | 0.0405116i | ||||
\(898\) | −4.12030 | − | 5.67111i | −0.137496 | − | 0.189247i | ||||
\(899\) | 18.7331 | 0.624785 | ||||||||
\(900\) | 16.3694 | − | 1.91255i | 0.545646 | − | 0.0637515i | ||||
\(901\) | 4.26159 | 0.141974 | ||||||||
\(902\) | −2.76923 | − | 3.81151i | −0.0922052 | − | 0.126910i | ||||
\(903\) | −0.146104 | − | 0.0474719i | −0.00486202 | − | 0.00157977i | ||||
\(904\) | −0.847405 | + | 2.60804i | −0.0281843 | + | 0.0867423i | ||||
\(905\) | 9.16940 | − | 0.533846i | 0.304801 | − | 0.0177456i | ||||
\(906\) | −1.36156 | − | 4.19044i | −0.0452347 | − | 0.139218i | ||||
\(907\) | 10.0093i | 0.332354i | 0.986096 | + | 0.166177i | \(0.0531423\pi\) | ||||
−0.986096 | + | 0.166177i | \(0.946858\pi\) | |||||||
\(908\) | −38.6996 | + | 12.5742i | −1.28429 | + | 0.417291i | ||||
\(909\) | 5.63729 | + | 4.09573i | 0.186977 | + | 0.135847i | ||||
\(910\) | −0.167456 | − | 0.0438311i | −0.00555110 | − | 0.00145299i | ||||
\(911\) | −27.2326 | + | 19.7856i | −0.902255 | + | 0.655527i | −0.939044 | − | 0.343796i | \(-0.888287\pi\) |
0.0367892 | + | 0.999323i | \(0.488287\pi\) | |||||||
\(912\) | 2.08883 | − | 2.87503i | 0.0691680 | − | 0.0952016i | ||||
\(913\) | 14.7349 | − | 20.2808i | 0.487653 | − | 0.671197i | ||||
\(914\) | −10.5733 | + | 7.68192i | −0.349732 | + | 0.254095i | ||||
\(915\) | 1.38921 | + | 23.8612i | 0.0459257 | + | 0.788826i | ||||
\(916\) | 9.79264 | + | 7.11477i | 0.323558 | + | 0.235078i | ||||
\(917\) | 5.34406 | − | 1.73639i | 0.176477 | − | 0.0573407i | ||||
\(918\) | − | 2.54025i | − | 0.0838409i | ||||||
\(919\) | 7.42435 | + | 22.8498i | 0.244907 | + | 0.753746i | 0.995652 | + | 0.0931535i | \(0.0296947\pi\) |
−0.750745 | + | 0.660592i | \(0.770305\pi\) | |||||||
\(920\) | 12.9532 | − | 10.6141i | 0.427053 | − | 0.349938i | ||||
\(921\) | −2.29463 | + | 7.06215i | −0.0756107 | + | 0.232706i | ||||
\(922\) | −5.03217 | − | 1.63505i | −0.165726 | − | 0.0538475i | ||||
\(923\) | −1.43014 | − | 1.96841i | −0.0470735 | − | 0.0647911i | ||||
\(924\) | 1.05489 | 0.0347032 | ||||||||
\(925\) | −9.96364 | + | 4.57519i | −0.327602 | + | 0.150431i | ||||
\(926\) | 7.60359 | 0.249870 | ||||||||
\(927\) | 12.5110 | + | 17.2199i | 0.410914 | + | 0.565575i | ||||
\(928\) | −8.77791 | − | 2.85212i | −0.288149 | − | 0.0936253i | ||||
\(929\) | −15.6936 | + | 48.2998i | −0.514889 | + | 1.58467i | 0.268594 | + | 0.963253i | \(0.413441\pi\) |
−0.783484 | + | 0.621413i | \(0.786559\pi\) | |||||||
\(930\) | 2.72472 | + | 6.97703i | 0.0893472 | + | 0.228786i | ||||
\(931\) | 2.13310 | + | 6.56499i | 0.0699094 | + | 0.215159i | ||||
\(932\) | 21.6373i | 0.708755i | ||||||||
\(933\) | −18.5013 | + | 6.01145i | −0.605707 | + | 0.196806i | ||||
\(934\) | 4.31440 | + | 3.13460i | 0.141172 | + | 0.102567i | ||||
\(935\) | 3.01751 | + | 3.68247i | 0.0986830 | + | 0.120430i | ||||
\(936\) | −1.37287 | + | 0.997446i | −0.0448735 | + | 0.0326025i | ||||
\(937\) | −24.1573 | + | 33.2497i | −0.789184 | + | 1.08622i | 0.205025 | + | 0.978757i | \(0.434272\pi\) |
−0.994209 | + | 0.107462i | \(0.965728\pi\) | |||||||
\(938\) | 0.731057 | − | 1.00621i | 0.0238699 | − | 0.0328541i | ||||
\(939\) | 25.7948 | − | 18.7410i | 0.841780 | − | 0.611589i | ||||
\(940\) | −19.9041 | − | 24.2903i | −0.649199 | − | 0.792263i | ||||
\(941\) | −33.2774 | − | 24.1775i | −1.08481 | − | 0.788163i | −0.106297 | − | 0.994334i | \(-0.533899\pi\) |
−0.978516 | + | 0.206172i | \(0.933899\pi\) | |||||||
\(942\) | 2.78306 | − | 0.904271i | 0.0906770 | − | 0.0294627i | ||||
\(943\) | 41.0235i | 1.33591i | ||||||||
\(944\) | −4.60922 | − | 14.1857i | −0.150017 | − | 0.461706i | ||||
\(945\) | 1.34172 | + | 3.43566i | 0.0436462 | + | 0.111762i | ||||
\(946\) | −0.0828159 | + | 0.254881i | −0.00269258 | + | 0.00828690i | ||||
\(947\) | 24.0024 | + | 7.79884i | 0.779972 | + | 0.253428i | 0.671828 | − | 0.740707i | \(-0.265509\pi\) |
0.108144 | + | 0.994135i | \(0.465509\pi\) | |||||||
\(948\) | 13.4109 | + | 18.4585i | 0.435565 | + | 0.599504i | ||||
\(949\) | −1.14699 | −0.0372328 | ||||||||
\(950\) | 1.67604 | − | 0.769618i | 0.0543779 | − | 0.0249697i | ||||
\(951\) | 24.1041 | 0.781629 | ||||||||
\(952\) | −0.339825 | − | 0.467729i | −0.0110138 | − | 0.0151592i | ||||
\(953\) | −22.9199 | − | 7.44712i | −0.742448 | − | 0.241236i | −0.0867194 | − | 0.996233i | \(-0.527638\pi\) |
−0.655728 | + | 0.754997i | \(0.727638\pi\) | |||||||
\(954\) | 0.660056 | − | 2.03144i | 0.0213701 | − | 0.0657704i | ||||
\(955\) | 7.13856 | − | 5.84951i | 0.230998 | − | 0.189286i | ||||
\(956\) | −9.84129 | − | 30.2884i | −0.318290 | − | 0.979596i | ||||
\(957\) | 4.15658i | 0.134363i | ||||||||
\(958\) | −2.52770 | + | 0.821300i | −0.0816663 | + | 0.0265350i | ||||
\(959\) | −0.608147 | − | 0.441845i | −0.0196381 | − | 0.0142679i | ||||
\(960\) | 0.709227 | + | 12.1818i | 0.0228902 | + | 0.393165i | ||||
\(961\) | −29.0925 | + | 21.1369i | −0.938466 | + | 0.681836i | ||||
\(962\) | 0.320095 | − | 0.440572i | 0.0103203 | − | 0.0142046i | ||||
\(963\) | 0.647407 | − | 0.891079i | 0.0208624 | − | 0.0287146i | ||||
\(964\) | −5.31193 | + | 3.85935i | −0.171086 | + | 0.124301i | ||||
\(965\) | −7.33463 | − | 1.91982i | −0.236110 | − | 0.0618013i | ||||
\(966\) | 0.542430 | + | 0.394098i | 0.0174524 | + | 0.0126799i | ||||
\(967\) | −37.2339 | + | 12.0980i | −1.19736 | + | 0.389047i | −0.838790 | − | 0.544455i | \(-0.816737\pi\) |
−0.358573 | + | 0.933502i | \(0.616737\pi\) | |||||||
\(968\) | 11.8629i | 0.381287i | ||||||||
\(969\) | 0.446302 | + | 1.37358i | 0.0143373 | + | 0.0441257i | ||||
\(970\) | −10.4657 | + | 0.609318i | −0.336034 | + | 0.0195640i | ||||
\(971\) | −9.83422 | + | 30.2666i | −0.315595 | + | 0.971302i | 0.659914 | + | 0.751341i | \(0.270593\pi\) |
−0.975509 | + | 0.219960i | \(0.929407\pi\) | |||||||
\(972\) | 27.0260 | + | 8.78130i | 0.866861 | + | 0.281660i | ||||
\(973\) | 0.766294 | + | 1.05471i | 0.0245663 | + | 0.0338126i | ||||
\(974\) | −3.79307 | −0.121538 | ||||||||
\(975\) | −3.71083 | + | 0.433561i | −0.118842 | + | 0.0138851i | ||||
\(976\) | 30.8423 | 0.987237 | ||||||||
\(977\) | −4.95338 | − | 6.81774i | −0.158473 | − | 0.218119i | 0.722396 | − | 0.691480i | \(-0.243041\pi\) |
−0.880869 | + | 0.473361i | \(0.843041\pi\) | |||||||
\(978\) | −3.01032 | − | 0.978112i | −0.0962594 | − | 0.0312766i | ||||
\(979\) | −5.87141 | + | 18.0703i | −0.187651 | + | 0.577530i | ||||
\(980\) | −24.2193 | − | 15.5294i | −0.773656 | − | 0.496068i | ||||
\(981\) | 10.1039 | + | 31.0967i | 0.322593 | + | 0.992840i | ||||
\(982\) | − | 5.09191i | − | 0.162489i | ||||||
\(983\) | −55.8069 | + | 18.1327i | −1.77996 | + | 0.578345i | −0.998934 | − | 0.0461513i | \(-0.985304\pi\) |
−0.781028 | + | 0.624496i | \(0.785304\pi\) | |||||||
\(984\) | 9.99018 | + | 7.25829i | 0.318475 | + | 0.231386i | ||||
\(985\) | −10.1570 | + | 15.8406i | −0.323629 | + | 0.504724i | ||||
\(986\) | 0.889052 | − | 0.645934i | 0.0283132 | − | 0.0205707i | ||||
\(987\) | 1.53200 | − | 2.10862i | 0.0487642 | − | 0.0671182i | ||||
\(988\) | 0.737661 | − | 1.01530i | 0.0234681 | − | 0.0323011i | ||||
\(989\) | 1.88791 | − | 1.37165i | 0.0600321 | − | 0.0436159i | ||||
\(990\) | 2.22275 | − | 0.868046i | 0.0706437 | − | 0.0275883i | ||||
\(991\) | 47.5843 | + | 34.5720i | 1.51156 | + | 1.09822i | 0.965478 | + | 0.260486i | \(0.0838829\pi\) |
0.546086 | + | 0.837729i | \(0.316117\pi\) | |||||||
\(992\) | 31.3760 | − | 10.1947i | 0.996189 | − | 0.323681i | ||||
\(993\) | 20.9452i | 0.664676i | ||||||||
\(994\) | −0.128391 | − | 0.395146i | −0.00407231 | − | 0.0125333i | ||||
\(995\) | −5.99112 | + | 22.8889i | −0.189931 | + | 0.725627i | ||||
\(996\) | −9.79463 | + | 30.1448i | −0.310355 | + | 0.955174i | ||||
\(997\) | 15.0633 | + | 4.89437i | 0.477060 | + | 0.155006i | 0.537670 | − | 0.843155i | \(-0.319305\pi\) |
−0.0606099 | + | 0.998162i | \(0.519305\pi\) | |||||||
\(998\) | −7.53843 | − | 10.3758i | −0.238625 | − | 0.328439i | ||||
\(999\) | −11.6039 | −0.367131 |
(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 | 475.2.n.b.39.15 | ✓ | 96 | |
25.9 | even | 10 | inner | 475.2.n.b.134.15 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
475.2.n.b.39.15 | ✓ | 96 | 1.1 | even | 1 | trivial | |
475.2.n.b.134.15 | yes | 96 | 25.9 | even | 10 | inner |