Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [414,2,Mod(55,414)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(414, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("414.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 414 = 2 \cdot 3^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 414.i (of order \(11\), degree \(10\), 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: | \(3.30580664368\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 46) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 361.1 | ||
Root | \(-0.841254 - 0.540641i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 414.361 |
Dual form | 414.2.i.c.289.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/414\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(235\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.654861 | + | 0.755750i | −0.463056 | + | 0.534396i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.142315 | − | 0.989821i | −0.0711574 | − | 0.494911i | ||||
\(5\) | −0.154861 | − | 0.339098i | −0.0692558 | − | 0.151649i | 0.871838 | − | 0.489794i | \(-0.162928\pi\) |
−0.941094 | + | 0.338145i | \(0.890201\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.97611 | + | 0.580239i | −0.746900 | + | 0.219310i | −0.632967 | − | 0.774179i | \(-0.718163\pi\) |
−0.113933 | + | 0.993488i | \(0.536345\pi\) | |||||||
\(8\) | 0.841254 | + | 0.540641i | 0.297428 | + | 0.191145i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.357685 | + | 0.105026i | 0.113110 | + | 0.0332121i | ||||
\(11\) | 1.61435 | + | 1.86306i | 0.486746 | + | 0.561735i | 0.944993 | − | 0.327090i | \(-0.106068\pi\) |
−0.458247 | + | 0.888825i | \(0.651523\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.58149 | + | 1.05162i | 0.993327 | + | 0.291667i | 0.737715 | − | 0.675112i | \(-0.235905\pi\) |
0.255612 | + | 0.966779i | \(0.417723\pi\) | |||||||
\(14\) | 0.855563 | − | 1.87342i | 0.228659 | − | 0.500693i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.959493 | + | 0.281733i | −0.239873 | + | 0.0704331i | ||||
\(17\) | −0.897877 | + | 6.24487i | −0.217767 | + | 1.51460i | 0.528486 | + | 0.848942i | \(0.322760\pi\) |
−0.746253 | + | 0.665662i | \(0.768149\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.468056 | + | 3.25540i | 0.107379 | + | 0.746840i | 0.970371 | + | 0.241621i | \(0.0776791\pi\) |
−0.862991 | + | 0.505219i | \(0.831412\pi\) | |||||||
\(20\) | −0.313607 | + | 0.201543i | −0.0701247 | + | 0.0450664i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.46519 | −0.525579 | ||||||||
\(23\) | 1.76381 | + | 4.45971i | 0.367780 | + | 0.929913i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.18330 | − | 3.67372i | 0.636660 | − | 0.734744i | ||||
\(26\) | −3.14014 | + | 2.01804i | −0.615832 | + | 0.395771i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.855563 | + | 1.87342i | 0.161686 | + | 0.354043i | ||||
\(29\) | 1.01510 | − | 7.06018i | 0.188499 | − | 1.31104i | −0.647396 | − | 0.762154i | \(-0.724142\pi\) |
0.835896 | − | 0.548889i | \(-0.184949\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.91722 | + | 3.16011i | 0.883159 | + | 0.567572i | 0.901751 | − | 0.432255i | \(-0.142282\pi\) |
−0.0185921 | + | 0.999827i | \(0.505918\pi\) | |||||||
\(32\) | 0.415415 | − | 0.909632i | 0.0734357 | − | 0.160802i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −4.13158 | − | 4.76809i | −0.708560 | − | 0.817721i | ||||
\(35\) | 0.502780 | + | 0.580239i | 0.0849853 | + | 0.0980782i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.94398 | + | 4.25672i | −0.319588 | + | 0.699801i | −0.999437 | − | 0.0335515i | \(-0.989318\pi\) |
0.679849 | + | 0.733352i | \(0.262045\pi\) | |||||||
\(38\) | −2.76678 | − | 1.77810i | −0.448831 | − | 0.288446i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.0530529 | − | 0.368991i | 0.00838840 | − | 0.0583426i | ||||
\(41\) | 1.98603 | + | 4.34881i | 0.310166 | + | 0.679169i | 0.998951 | − | 0.0457967i | \(-0.0145826\pi\) |
−0.688784 | + | 0.724966i | \(0.741855\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −9.36979 | + | 6.02160i | −1.42888 | + | 0.918285i | −0.428992 | + | 0.903309i | \(0.641131\pi\) |
−0.999888 | + | 0.0149765i | \(0.995233\pi\) | |||||||
\(44\) | 1.61435 | − | 1.86306i | 0.243373 | − | 0.280867i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.52547 | − | 1.58749i | −0.667244 | − | 0.234062i | ||||
\(47\) | −2.44502 | −0.356643 | −0.178322 | − | 0.983972i | \(-0.557067\pi\) | ||||
−0.178322 | + | 0.983972i | \(0.557067\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.32043 | + | 1.49125i | −0.331491 | + | 0.213036i | ||||
\(50\) | 0.691797 | + | 4.81155i | 0.0978348 | + | 0.680456i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.531217 | − | 3.69470i | 0.0736666 | − | 0.512362i | ||||
\(53\) | 5.80255 | − | 1.70378i | 0.797042 | − | 0.234033i | 0.142239 | − | 0.989832i | \(-0.454570\pi\) |
0.654803 | + | 0.755800i | \(0.272752\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.381761 | − | 0.835939i | 0.0514766 | − | 0.112718i | ||||
\(56\) | −1.97611 | − | 0.580239i | −0.264069 | − | 0.0775377i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 4.67098 | + | 5.39060i | 0.613329 | + | 0.707820i | ||||
\(59\) | −11.3316 | − | 3.32727i | −1.47526 | − | 0.433174i | −0.557452 | − | 0.830209i | \(-0.688221\pi\) |
−0.917803 | + | 0.397035i | \(0.870039\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.41899 | + | 0.911927i | 0.181683 | + | 0.116760i | 0.628321 | − | 0.777954i | \(-0.283743\pi\) |
−0.446638 | + | 0.894715i | \(0.647379\pi\) | |||||||
\(62\) | −5.60835 | + | 1.64676i | −0.712261 | + | 0.209139i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.415415 | + | 0.909632i | 0.0519269 | + | 0.113704i | ||||
\(65\) | −0.198030 | − | 1.37733i | −0.0245626 | − | 0.170837i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 9.23004 | − | 10.6520i | 1.12763 | − | 1.30135i | 0.179397 | − | 0.983777i | \(-0.442585\pi\) |
0.948232 | − | 0.317577i | \(-0.102869\pi\) | |||||||
\(68\) | 6.30909 | 0.765090 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.767766 | −0.0917656 | ||||||||
\(71\) | 2.64478 | − | 3.05224i | 0.313878 | − | 0.362234i | −0.576787 | − | 0.816894i | \(-0.695694\pi\) |
0.890665 | + | 0.454660i | \(0.150239\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.23672 | − | 8.60157i | −0.144747 | − | 1.00674i | −0.924645 | − | 0.380831i | \(-0.875638\pi\) |
0.779898 | − | 0.625907i | \(-0.215271\pi\) | |||||||
\(74\) | −1.94398 | − | 4.25672i | −0.225983 | − | 0.494834i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.15565 | − | 0.926583i | 0.361978 | − | 0.106286i | ||||
\(77\) | −4.27116 | − | 2.74491i | −0.486744 | − | 0.312812i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.28741 | + | 0.671644i | 0.257354 | + | 0.0755659i | 0.407864 | − | 0.913043i | \(-0.366274\pi\) |
−0.150511 | + | 0.988608i | \(0.548092\pi\) | |||||||
\(80\) | 0.244123 | + | 0.281733i | 0.0272937 | + | 0.0314987i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.58718 | − | 1.34692i | −0.506570 | − | 0.148742i | ||||
\(83\) | −1.76013 | + | 3.85415i | −0.193200 | + | 0.423048i | −0.981296 | − | 0.192503i | \(-0.938339\pi\) |
0.788097 | + | 0.615552i | \(0.211067\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.25667 | − | 0.662618i | 0.244770 | − | 0.0718710i | ||||
\(86\) | 1.58509 | − | 11.0245i | 0.170924 | − | 1.18880i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.350833 | + | 2.44009i | 0.0373989 | + | 0.260115i | ||||
\(89\) | 7.59749 | − | 4.88261i | 0.805332 | − | 0.517556i | −0.0720196 | − | 0.997403i | \(-0.522944\pi\) |
0.877352 | + | 0.479848i | \(0.159308\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −7.68762 | −0.805881 | ||||||||
\(92\) | 4.16330 | − | 2.38054i | 0.434054 | − | 0.248188i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.60115 | − | 1.84783i | 0.165146 | − | 0.190589i | ||||
\(95\) | 1.03141 | − | 0.662850i | 0.105821 | − | 0.0680070i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.69697 | − | 10.2849i | −0.476905 | − | 1.04428i | −0.983303 | − | 0.181976i | \(-0.941751\pi\) |
0.506398 | − | 0.862300i | \(-0.330977\pi\) | |||||||
\(98\) | 0.392548 | − | 2.73023i | 0.0396533 | − | 0.275795i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −4.08936 | − | 2.62807i | −0.408936 | − | 0.262807i | ||||
\(101\) | 3.34482 | − | 7.32414i | 0.332822 | − | 0.728780i | −0.667046 | − | 0.745017i | \(-0.732441\pi\) |
0.999868 | + | 0.0162372i | \(0.00516870\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 9.66041 | + | 11.1487i | 0.951868 | + | 1.09851i | 0.995043 | + | 0.0994469i | \(0.0317073\pi\) |
−0.0431747 | + | 0.999068i | \(0.513747\pi\) | |||||||
\(104\) | 2.44439 | + | 2.82098i | 0.239692 | + | 0.276620i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.51223 | + | 5.50102i | −0.244009 | + | 0.534306i | ||||
\(107\) | 5.62090 | + | 3.61233i | 0.543393 | + | 0.349217i | 0.783365 | − | 0.621562i | \(-0.213502\pi\) |
−0.239972 | + | 0.970780i | \(0.577138\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.580602 | − | 4.03817i | 0.0556116 | − | 0.386787i | −0.942939 | − | 0.332965i | \(-0.891951\pi\) |
0.998551 | − | 0.0538214i | \(-0.0171402\pi\) | |||||||
\(110\) | 0.381761 | + | 0.835939i | 0.0363994 | + | 0.0797037i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.73259 | − | 1.11347i | 0.163715 | − | 0.105213i | ||||
\(113\) | 3.65755 | − | 4.22104i | 0.344073 | − | 0.397082i | −0.557168 | − | 0.830400i | \(-0.688112\pi\) |
0.901241 | + | 0.433318i | \(0.142657\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.23913 | − | 1.28874i | 0.115550 | − | 0.120175i | ||||
\(116\) | −7.13278 | −0.662262 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 9.93524 | − | 6.38499i | 0.914613 | − | 0.587786i | ||||
\(119\) | −1.84921 | − | 12.8616i | −0.169517 | − | 1.17902i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.700596 | − | 4.87275i | 0.0636905 | − | 0.442977i | ||||
\(122\) | −1.61843 | + | 0.475213i | −0.146525 | + | 0.0430238i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 2.42815 | − | 5.31690i | 0.218054 | − | 0.477472i | ||||
\(125\) | −3.52714 | − | 1.03566i | −0.315477 | − | 0.0926325i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.94344 | + | 5.70503i | 0.438659 | + | 0.506240i | 0.931431 | − | 0.363919i | \(-0.118562\pi\) |
−0.492771 | + | 0.870159i | \(0.664016\pi\) | |||||||
\(128\) | −0.959493 | − | 0.281733i | −0.0848080 | − | 0.0249019i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.17060 | + | 0.752298i | 0.102668 | + | 0.0659809i | ||||
\(131\) | −3.13818 | + | 0.921454i | −0.274184 | + | 0.0805078i | −0.415934 | − | 0.909395i | \(-0.636545\pi\) |
0.141750 | + | 0.989903i | \(0.454727\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.81384 | − | 6.16145i | −0.243991 | − | 0.534265i | ||||
\(134\) | 2.00588 | + | 13.9512i | 0.173282 | + | 1.20520i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −4.13158 | + | 4.76809i | −0.354280 | + | 0.408861i | ||||
\(137\) | −15.9297 | −1.36096 | −0.680482 | − | 0.732765i | \(-0.738229\pi\) | ||||
−0.680482 | + | 0.732765i | \(0.738229\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.85447 | −0.242113 | −0.121056 | − | 0.992646i | \(-0.538628\pi\) | ||||
−0.121056 | + | 0.992646i | \(0.538628\pi\) | |||||||
\(140\) | 0.502780 | − | 0.580239i | 0.0424926 | − | 0.0490391i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.574766 | + | 3.99758i | 0.0482333 | + | 0.335470i | ||||
\(143\) | 3.82256 | + | 8.37023i | 0.319658 | + | 0.699954i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.55129 | + | 0.749126i | −0.211873 | + | 0.0622115i | ||||
\(146\) | 7.31051 | + | 4.69818i | 0.605022 | + | 0.388824i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.49005 | + | 1.31840i | 0.369080 | + | 0.108372i | ||||
\(149\) | −1.91136 | − | 2.20583i | −0.156585 | − | 0.180709i | 0.672037 | − | 0.740518i | \(-0.265420\pi\) |
−0.828621 | + | 0.559809i | \(0.810874\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −23.5672 | − | 6.91997i | −1.91788 | − | 0.563139i | −0.968522 | − | 0.248927i | \(-0.919922\pi\) |
−0.949353 | − | 0.314212i | \(-0.898260\pi\) | |||||||
\(152\) | −1.36625 | + | 2.99167i | −0.110817 | + | 0.242656i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 4.87148 | − | 1.43040i | 0.392555 | − | 0.115265i | ||||
\(155\) | 0.310100 | − | 2.15680i | 0.0249079 | − | 0.173238i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.86497 | + | 12.9711i | 0.148840 | + | 1.03521i | 0.918122 | + | 0.396298i | \(0.129705\pi\) |
−0.769282 | + | 0.638910i | \(0.779386\pi\) | |||||||
\(158\) | −2.00553 | + | 1.28888i | −0.159551 | + | 0.102537i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.372786 | −0.0294713 | ||||||||
\(161\) | −6.07318 | − | 7.78945i | −0.478634 | − | 0.613894i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.02485 | + | 3.49086i | −0.236924 | + | 0.273425i | −0.861743 | − | 0.507344i | \(-0.830627\pi\) |
0.624819 | + | 0.780770i | \(0.285173\pi\) | |||||||
\(164\) | 4.02190 | − | 2.58472i | 0.314058 | − | 0.201833i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.76013 | − | 3.85415i | −0.136613 | − | 0.299140i | ||||
\(167\) | −0.560648 | + | 3.89939i | −0.0433843 | + | 0.301744i | 0.956564 | + | 0.291524i | \(0.0941623\pi\) |
−0.999948 | + | 0.0102201i | \(0.996747\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.784872 | + | 0.504407i | 0.0603748 | + | 0.0388005i | ||||
\(170\) | −0.977031 | + | 2.13940i | −0.0749348 | + | 0.164084i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 7.29377 | + | 8.41745i | 0.556144 | + | 0.641825i | ||||
\(173\) | 12.4428 | + | 14.3598i | 0.946009 | + | 1.09175i | 0.995667 | + | 0.0929867i | \(0.0296414\pi\) |
−0.0496580 | + | 0.998766i | \(0.515813\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.15892 | + | 9.10676i | −0.314385 | + | 0.688406i | ||||
\(176\) | −2.07385 | − | 1.33278i | −0.156322 | − | 0.100462i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.28527 | + | 8.93923i | −0.0963348 | + | 0.670024i | ||||
\(179\) | −0.996758 | − | 2.18260i | −0.0745012 | − | 0.163135i | 0.868717 | − | 0.495309i | \(-0.164945\pi\) |
−0.943218 | + | 0.332174i | \(0.892218\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 21.8779 | − | 14.0601i | 1.62617 | − | 1.04508i | 0.674358 | − | 0.738405i | \(-0.264421\pi\) |
0.951815 | − | 0.306673i | \(-0.0992158\pi\) | |||||||
\(182\) | 5.03432 | − | 5.80991i | 0.373168 | − | 0.430659i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.927287 | + | 4.70533i | −0.0683605 | + | 0.346882i | ||||
\(185\) | 1.74449 | 0.128258 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −13.0841 | + | 8.40863i | −0.956803 | + | 0.614900i | ||||
\(188\) | 0.347963 | + | 2.42014i | 0.0253778 | + | 0.176507i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.174484 | + | 1.21357i | −0.0126584 | + | 0.0880413i | ||||
\(191\) | −10.0451 | + | 2.94950i | −0.726836 | + | 0.213418i | −0.624160 | − | 0.781297i | \(-0.714559\pi\) |
−0.102676 | + | 0.994715i | \(0.532740\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.320385 | − | 0.701546i | 0.0230618 | − | 0.0504984i | −0.897751 | − | 0.440504i | \(-0.854800\pi\) |
0.920812 | + | 0.390006i | \(0.127527\pi\) | |||||||
\(194\) | 10.8487 | + | 3.18546i | 0.778890 | + | 0.228703i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.80631 | + | 2.08459i | 0.129022 | + | 0.148899i | ||||
\(197\) | 4.99637 | + | 1.46707i | 0.355977 | + | 0.104524i | 0.454831 | − | 0.890578i | \(-0.349700\pi\) |
−0.0988543 | + | 0.995102i | \(0.531518\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −19.6372 | − | 12.6200i | −1.39204 | − | 0.894610i | −0.392358 | − | 0.919812i | \(-0.628341\pi\) |
−0.999682 | + | 0.0252020i | \(0.991977\pi\) | |||||||
\(200\) | 4.66412 | − | 1.36951i | 0.329803 | − | 0.0968390i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 3.34482 | + | 7.32414i | 0.235341 | + | 0.515325i | ||||
\(203\) | 2.09064 | + | 14.5407i | 0.146734 | + | 1.02056i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.16711 | − | 1.34692i | 0.0815146 | − | 0.0940729i | ||||
\(206\) | −14.7518 | −1.02781 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −3.73269 | −0.258816 | ||||||||
\(209\) | −5.30941 | + | 6.12738i | −0.367259 | + | 0.423840i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.23757 | + | 8.60752i | 0.0851981 | + | 0.592566i | 0.987037 | + | 0.160493i | \(0.0513085\pi\) |
−0.901839 | + | 0.432073i | \(0.857782\pi\) | |||||||
\(212\) | −2.51223 | − | 5.50102i | −0.172541 | − | 0.377812i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −6.41093 | + | 1.88242i | −0.438242 | + | 0.128679i | ||||
\(215\) | 3.49292 | + | 2.24476i | 0.238215 | + | 0.153092i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −11.5506 | − | 3.39156i | −0.784106 | − | 0.230234i | ||||
\(218\) | 2.67163 | + | 3.08323i | 0.180946 | + | 0.208823i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.881761 | − | 0.258908i | −0.0594483 | − | 0.0174556i | ||||
\(221\) | −9.78298 | + | 21.4217i | −0.658074 | + | 1.44098i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.68556 | − | 1.08218i | 0.246803 | − | 0.0724680i | −0.155991 | − | 0.987758i | \(-0.549857\pi\) |
0.402794 | + | 0.915290i | \(0.368039\pi\) | |||||||
\(224\) | −0.293103 | + | 2.03857i | −0.0195838 | + | 0.136208i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.794861 | + | 5.52838i | 0.0528734 | + | 0.367743i | ||||
\(227\) | −1.71113 | + | 1.09968i | −0.113572 | + | 0.0729883i | −0.596194 | − | 0.802841i | \(-0.703321\pi\) |
0.482622 | + | 0.875829i | \(0.339685\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 27.4406 | 1.81333 | 0.906664 | − | 0.421853i | \(-0.138620\pi\) | ||||
0.906664 | + | 0.421853i | \(0.138620\pi\) | |||||||
\(230\) | 0.162505 | + | 1.78042i | 0.0107152 | + | 0.117397i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 4.67098 | − | 5.39060i | 0.306665 | − | 0.353910i | ||||
\(233\) | −5.92647 | + | 3.80871i | −0.388256 | + | 0.249517i | −0.720177 | − | 0.693790i | \(-0.755939\pi\) |
0.331921 | + | 0.943307i | \(0.392303\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.378638 | + | 0.829102i | 0.0246996 | + | 0.0540847i | ||||
\(236\) | −1.68074 | + | 11.6898i | −0.109407 | + | 0.760943i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 10.9311 | + | 7.02498i | 0.708557 | + | 0.455362i | ||||
\(239\) | −10.8343 | + | 23.7238i | −0.700814 | + | 1.53457i | 0.138168 | + | 0.990409i | \(0.455879\pi\) |
−0.838982 | + | 0.544159i | \(0.816849\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.910396 | − | 1.05065i | −0.0586437 | − | 0.0676785i | 0.725670 | − | 0.688043i | \(-0.241530\pi\) |
−0.784313 | + | 0.620365i | \(0.786985\pi\) | |||||||
\(242\) | 3.22379 | + | 3.72045i | 0.207233 | + | 0.239159i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0.700702 | − | 1.53432i | 0.0448579 | − | 0.0982250i | ||||
\(245\) | 0.865024 | + | 0.555917i | 0.0552644 | + | 0.0355163i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.74711 | + | 12.1514i | −0.111166 | + | 0.773175i | ||||
\(248\) | 2.42815 | + | 5.31690i | 0.154188 | + | 0.337624i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 3.09249 | − | 1.98742i | 0.195586 | − | 0.125696i | ||||
\(251\) | 17.0861 | − | 19.7184i | 1.07847 | − | 1.24462i | 0.110408 | − | 0.993886i | \(-0.464784\pi\) |
0.968057 | − | 0.250729i | \(-0.0806703\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −5.46130 | + | 10.4856i | −0.343349 | + | 0.659226i | ||||
\(254\) | −7.54884 | −0.473656 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.841254 | − | 0.540641i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | −3.98415 | − | 27.7104i | −0.248524 | − | 1.72852i | −0.606753 | − | 0.794890i | \(-0.707528\pi\) |
0.358229 | − | 0.933634i | \(-0.383381\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.37161 | − | 9.53973i | 0.0852275 | − | 0.592770i | ||||
\(260\) | −1.33513 | + | 0.392029i | −0.0828011 | + | 0.0243126i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 1.35869 | − | 2.97511i | 0.0839398 | − | 0.183803i | ||||
\(263\) | 9.05134 | + | 2.65771i | 0.558129 | + | 0.163882i | 0.548618 | − | 0.836073i | \(-0.315154\pi\) |
0.00951145 | + | 0.999955i | \(0.496972\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.47634 | − | 1.70378i | −0.0906907 | − | 0.104663i | ||||
\(266\) | 6.49918 | + | 1.90833i | 0.398490 | + | 0.117007i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −11.8572 | − | 7.62015i | −0.724293 | − | 0.465475i | ||||
\(269\) | 16.6675 | − | 4.89401i | 1.01623 | − | 0.298393i | 0.269132 | − | 0.963103i | \(-0.413263\pi\) |
0.747101 | + | 0.664710i | \(0.231445\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 7.43784 | + | 16.2866i | 0.451816 | + | 0.989340i | 0.989277 | + | 0.146051i | \(0.0466564\pi\) |
−0.537461 | + | 0.843289i | \(0.680616\pi\) | |||||||
\(272\) | −0.897877 | − | 6.24487i | −0.0544418 | − | 0.378651i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 10.4317 | − | 12.0388i | 0.630203 | − | 0.727293i | ||||
\(275\) | 11.9833 | 0.722623 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −15.2821 | −0.918212 | −0.459106 | − | 0.888382i | \(-0.651830\pi\) | ||||
−0.459106 | + | 0.888382i | \(0.651830\pi\) | |||||||
\(278\) | 1.86928 | − | 2.15726i | 0.112112 | − | 0.129384i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.109264 | + | 0.759951i | 0.00652980 | + | 0.0454158i | ||||
\(281\) | −2.46220 | − | 5.39146i | −0.146882 | − | 0.321627i | 0.821863 | − | 0.569685i | \(-0.192935\pi\) |
−0.968745 | + | 0.248058i | \(0.920208\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1.50023 | + | 0.440506i | −0.0891791 | + | 0.0261854i | −0.326018 | − | 0.945364i | \(-0.605707\pi\) |
0.236839 | + | 0.971549i | \(0.423889\pi\) | |||||||
\(284\) | −3.39756 | − | 2.18348i | −0.201608 | − | 0.129566i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −8.82904 | − | 2.59244i | −0.522072 | − | 0.153294i | ||||
\(287\) | −6.44797 | − | 7.44135i | −0.380612 | − | 0.439249i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −21.8809 | − | 6.42481i | −1.28711 | − | 0.377930i | ||||
\(290\) | 1.10459 | − | 2.41871i | 0.0648636 | − | 0.142032i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −8.33802 | + | 2.44826i | −0.487945 | + | 0.143274i | ||||
\(293\) | 0.292908 | − | 2.03722i | 0.0171119 | − | 0.119016i | −0.979475 | − | 0.201565i | \(-0.935397\pi\) |
0.996587 | + | 0.0825496i | \(0.0263063\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.626557 | + | 4.35780i | 0.0364796 | + | 0.253721i | ||||
\(296\) | −3.93674 | + | 2.52999i | −0.228818 | + | 0.147053i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 2.91873 | 0.169078 | ||||||||
\(299\) | 1.62715 | + | 17.8273i | 0.0941007 | + | 1.03098i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 15.0218 | − | 17.3361i | 0.865841 | − | 0.999234i | ||||
\(302\) | 20.6630 | − | 13.2793i | 1.18902 | − | 0.764139i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.36625 | − | 2.99167i | −0.0783597 | − | 0.171584i | ||||
\(305\) | 0.0894871 | − | 0.622397i | 0.00512402 | − | 0.0356383i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 9.11420 | + | 5.85734i | 0.520175 | + | 0.334296i | 0.774241 | − | 0.632891i | \(-0.218132\pi\) |
−0.254066 | + | 0.967187i | \(0.581768\pi\) | |||||||
\(308\) | −2.10912 | + | 4.61833i | −0.120178 | + | 0.263154i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1.42692 | + | 1.64676i | 0.0810439 | + | 0.0935296i | ||||
\(311\) | −14.9945 | − | 17.3046i | −0.850260 | − | 0.981252i | 0.149712 | − | 0.988730i | \(-0.452165\pi\) |
−0.999972 | + | 0.00747762i | \(0.997620\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −9.69914 | + | 21.2382i | −0.548228 | + | 1.20045i | 0.409376 | + | 0.912366i | \(0.365746\pi\) |
−0.957604 | + | 0.288086i | \(0.906981\pi\) | |||||||
\(314\) | −11.0242 | − | 7.08483i | −0.622132 | − | 0.399820i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.339275 | − | 2.35971i | 0.0190857 | − | 0.132744i | ||||
\(317\) | −0.209132 | − | 0.457936i | −0.0117460 | − | 0.0257202i | 0.903668 | − | 0.428234i | \(-0.140864\pi\) |
−0.915414 | + | 0.402513i | \(0.868137\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 14.7923 | − | 9.50643i | 0.828209 | − | 0.532258i | ||||
\(320\) | 0.244123 | − | 0.281733i | 0.0136469 | − | 0.0157493i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 9.86396 | + | 0.511198i | 0.549697 | + | 0.0284880i | ||||
\(323\) | −20.7498 | −1.15455 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 15.2643 | − | 9.80978i | 0.846712 | − | 0.544149i | ||||
\(326\) | −0.657362 | − | 4.57205i | −0.0364079 | − | 0.253223i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.680385 | + | 4.73218i | −0.0375680 | + | 0.261291i | ||||
\(329\) | 4.83164 | − | 1.41870i | 0.266377 | − | 0.0782153i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 8.39272 | − | 18.3775i | 0.461306 | − | 1.01012i | −0.525882 | − | 0.850557i | \(-0.676265\pi\) |
0.987188 | − | 0.159561i | \(-0.0510080\pi\) | |||||||
\(332\) | 4.06542 | + | 1.19371i | 0.223119 | + | 0.0655136i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −2.57982 | − | 2.97727i | −0.141161 | − | 0.162909i | ||||
\(335\) | −5.04145 | − | 1.48030i | −0.275444 | − | 0.0808777i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.45398 | + | 2.21974i | 0.188150 | + | 0.120917i | 0.631325 | − | 0.775518i | \(-0.282511\pi\) |
−0.443175 | + | 0.896435i | \(0.646148\pi\) | |||||||
\(338\) | −0.895187 | + | 0.262851i | −0.0486918 | + | 0.0142972i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.977031 | − | 2.13940i | −0.0529869 | − | 0.116025i | ||||
\(341\) | 2.05066 | + | 14.2626i | 0.111049 | + | 0.772365i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 13.1611 | − | 15.1887i | 0.710634 | − | 0.820115i | ||||
\(344\) | −11.1379 | −0.600515 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −19.0007 | −1.02148 | ||||||||
\(347\) | 15.9888 | − | 18.4520i | 0.858322 | − | 0.990557i | −0.141678 | − | 0.989913i | \(-0.545250\pi\) |
1.00000 | 0.000643827i | \(-0.000204936\pi\) | ||||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.46135 | − | 17.1191i | −0.131753 | − | 0.916362i | −0.943268 | − | 0.332031i | \(-0.892266\pi\) |
0.811516 | − | 0.584331i | \(-0.198643\pi\) | |||||||
\(350\) | −4.15892 | − | 9.10676i | −0.222303 | − | 0.486777i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 2.36533 | − | 0.694523i | 0.126072 | − | 0.0370182i | ||||
\(353\) | 8.05818 | + | 5.17868i | 0.428894 | + | 0.275633i | 0.737227 | − | 0.675645i | \(-0.236135\pi\) |
−0.308333 | + | 0.951278i | \(0.599771\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.44458 | − | 0.424167i | −0.0766703 | − | 0.0225124i | ||||
\(356\) | −5.91415 | − | 6.82529i | −0.313449 | − | 0.361740i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 2.30223 | + | 0.675997i | 0.121677 | + | 0.0357275i | ||||
\(359\) | −0.0520416 | + | 0.113955i | −0.00274665 | + | 0.00601433i | −0.911000 | − | 0.412406i | \(-0.864689\pi\) |
0.908254 | + | 0.418420i | \(0.137416\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.85182 | − | 2.30550i | 0.413254 | − | 0.121342i | ||||
\(362\) | −3.70109 | + | 25.7416i | −0.194525 | + | 1.35295i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.09406 | + | 7.60937i | 0.0573444 | + | 0.398839i | ||||
\(365\) | −2.72525 | + | 1.75141i | −0.142646 | + | 0.0916732i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −4.23470 | −0.221050 | −0.110525 | − | 0.993873i | \(-0.535253\pi\) | ||||
−0.110525 | + | 0.993873i | \(0.535253\pi\) | |||||||
\(368\) | −2.94881 | − | 3.78213i | −0.153717 | − | 0.197157i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −1.14240 | + | 1.31840i | −0.0593905 | + | 0.0685403i | ||||
\(371\) | −10.4779 | + | 6.73373i | −0.543985 | + | 0.349598i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −0.260238 | − | 0.569842i | −0.0134746 | − | 0.0295053i | 0.902775 | − | 0.430113i | \(-0.141526\pi\) |
−0.916250 | + | 0.400608i | \(0.868799\pi\) | |||||||
\(374\) | 2.21344 | − | 15.3948i | 0.114454 | − | 0.796045i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −2.05689 | − | 1.32188i | −0.106076 | − | 0.0681708i | ||||
\(377\) | 11.0602 | − | 24.2185i | 0.569629 | − | 1.24731i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 6.88978 | + | 7.95124i | 0.353904 | + | 0.408428i | 0.904588 | − | 0.426286i | \(-0.140178\pi\) |
−0.550684 | + | 0.834714i | \(0.685633\pi\) | |||||||
\(380\) | −0.802889 | − | 0.926583i | −0.0411873 | − | 0.0475327i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 4.34904 | − | 9.52307i | 0.222516 | − | 0.487243i | ||||
\(383\) | 12.9300 | + | 8.30958i | 0.660690 | + | 0.424600i | 0.827559 | − | 0.561379i | \(-0.189729\pi\) |
−0.166868 | + | 0.985979i | \(0.553365\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.269357 | + | 1.87342i | −0.0137277 | + | 0.0954784i | ||||
\(386\) | 0.320385 | + | 0.701546i | 0.0163072 | + | 0.0357078i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −9.51179 | + | 6.11286i | −0.482888 | + | 0.310333i | ||||
\(389\) | 14.2332 | − | 16.4260i | 0.721653 | − | 0.832832i | −0.269851 | − | 0.962902i | \(-0.586975\pi\) |
0.991505 | + | 0.130069i | \(0.0415200\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −29.4340 | + | 7.01051i | −1.48854 | + | 0.354537i | ||||
\(392\) | −2.75831 | −0.139315 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −4.38067 | + | 2.81528i | −0.220695 | + | 0.141832i | ||||
\(395\) | −0.126477 | − | 0.879667i | −0.00636375 | − | 0.0442608i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.44578 | + | 10.0556i | −0.0725615 | + | 0.504676i | 0.920836 | + | 0.389951i | \(0.127508\pi\) |
−0.993397 | + | 0.114726i | \(0.963401\pi\) | |||||||
\(398\) | 22.3972 | − | 6.57641i | 1.12267 | − | 0.329645i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.01935 | + | 4.42175i | −0.100967 | + | 0.221087i | ||||
\(401\) | −30.6059 | − | 8.98672i | −1.52839 | − | 0.448775i | −0.593831 | − | 0.804590i | \(-0.702385\pi\) |
−0.934557 | + | 0.355814i | \(0.884204\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 14.2878 | + | 16.4889i | 0.711724 | + | 0.821373i | ||||
\(404\) | −7.72561 | − | 2.26844i | −0.384364 | − | 0.112859i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −12.3582 | − | 7.94214i | −0.613327 | − | 0.394162i | ||||
\(407\) | −11.0688 | + | 3.25010i | −0.548661 | + | 0.161101i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5.48958 | − | 12.0205i | −0.271442 | − | 0.594375i | 0.723994 | − | 0.689806i | \(-0.242304\pi\) |
−0.995436 | + | 0.0954310i | \(0.969577\pi\) | |||||||
\(410\) | 0.253638 | + | 1.76409i | 0.0125263 | + | 0.0871221i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 9.66041 | − | 11.1487i | 0.475934 | − | 0.549257i | ||||
\(413\) | 24.3232 | 1.19687 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.57951 | 0.0775351 | ||||||||
\(416\) | 2.44439 | − | 2.82098i | 0.119846 | − | 0.138310i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −1.15384 | − | 8.02516i | −0.0564364 | − | 0.392524i | ||||
\(419\) | −1.74597 | − | 3.82315i | −0.0852964 | − | 0.186773i | 0.862177 | − | 0.506606i | \(-0.169100\pi\) |
−0.947474 | + | 0.319834i | \(0.896373\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.75035 | + | 1.98208i | −0.328992 | + | 0.0966007i | −0.442057 | − | 0.896987i | \(-0.645751\pi\) |
0.113066 | + | 0.993588i | \(0.463933\pi\) | |||||||
\(422\) | −7.31557 | − | 4.70143i | −0.356116 | − | 0.228862i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 5.80255 | + | 1.70378i | 0.281797 | + | 0.0827430i | ||||
\(425\) | 20.0837 | + | 23.1778i | 0.974204 | + | 1.12429i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3.33321 | − | 0.978719i | −0.161305 | − | 0.0473635i | ||||
\(428\) | 2.77563 | − | 6.07778i | 0.134165 | − | 0.293780i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −3.98386 | + | 1.16977i | −0.192119 | + | 0.0564111i | ||||
\(431\) | 5.23996 | − | 36.4447i | 0.252400 | − | 1.75548i | −0.331315 | − | 0.943520i | \(-0.607492\pi\) |
0.583714 | − | 0.811959i | \(-0.301599\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 3.87488 | + | 26.9504i | 0.186215 | + | 1.29515i | 0.841701 | + | 0.539944i | \(0.181555\pi\) |
−0.655486 | + | 0.755207i | \(0.727536\pi\) | |||||||
\(434\) | 10.1272 | − | 6.50836i | 0.486121 | − | 0.312411i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −4.07970 | −0.195382 | ||||||||
\(437\) | −13.6926 | + | 7.82930i | −0.655004 | + | 0.374526i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 15.8395 | − | 18.2798i | 0.755980 | − | 0.872448i | −0.239153 | − | 0.970982i | \(-0.576870\pi\) |
0.995134 | + | 0.0985339i | \(0.0314153\pi\) | |||||||
\(440\) | 0.773100 | − | 0.496841i | 0.0368561 | − | 0.0236860i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −9.78298 | − | 21.4217i | −0.465329 | − | 1.01893i | ||||
\(443\) | 2.19556 | − | 15.2705i | 0.104314 | − | 0.725522i | −0.868794 | − | 0.495174i | \(-0.835104\pi\) |
0.973108 | − | 0.230348i | \(-0.0739864\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −2.83223 | − | 1.82017i | −0.134261 | − | 0.0862842i | ||||
\(446\) | −1.59567 | + | 3.49404i | −0.0755573 | + | 0.165447i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.34871 | − | 1.55649i | −0.0637206 | − | 0.0735375i | ||||
\(449\) | 11.3449 | + | 13.0927i | 0.535397 | + | 0.617881i | 0.957418 | − | 0.288705i | \(-0.0932247\pi\) |
−0.422021 | + | 0.906586i | \(0.638679\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −4.89594 | + | 10.7206i | −0.230541 | + | 0.504814i | ||||
\(452\) | −4.69860 | − | 3.01960i | −0.221003 | − | 0.142030i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0.289473 | − | 2.01333i | 0.0135856 | − | 0.0944901i | ||||
\(455\) | 1.19051 | + | 2.60685i | 0.0558120 | + | 0.122211i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.77854 | + | 3.71364i | −0.270309 | + | 0.173717i | −0.668772 | − | 0.743467i | \(-0.733180\pi\) |
0.398464 | + | 0.917184i | \(0.369544\pi\) | |||||||
\(458\) | −17.9698 | + | 20.7383i | −0.839674 | + | 0.969035i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −1.45197 | − | 1.04311i | −0.0676983 | − | 0.0486353i | ||||
\(461\) | 0.341091 | 0.0158862 | 0.00794309 | − | 0.999968i | \(-0.497472\pi\) | ||||
0.00794309 | + | 0.999968i | \(0.497472\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 13.7279 | − | 8.82237i | 0.637988 | − | 0.410010i | −0.181271 | − | 0.983433i | \(-0.558021\pi\) |
0.819259 | + | 0.573423i | \(0.194385\pi\) | |||||||
\(464\) | 1.01510 | + | 7.06018i | 0.0471249 | + | 0.327761i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.00258 | − | 6.97310i | 0.0464436 | − | 0.323022i | ||||
\(467\) | −34.7667 | + | 10.2084i | −1.60881 | + | 0.472389i | −0.957980 | − | 0.286834i | \(-0.907397\pi\) |
−0.650830 | + | 0.759223i | \(0.725579\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −12.0589 | + | 26.4052i | −0.556827 | + | 1.21928i | ||||
\(470\) | −0.874549 | − | 0.256791i | −0.0403399 | − | 0.0118449i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −7.73393 | − | 8.92543i | −0.355983 | − | 0.410826i | ||||
\(473\) | −26.3448 | − | 7.73552i | −1.21133 | − | 0.355680i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 13.4494 | + | 8.64340i | 0.617100 | + | 0.396586i | ||||
\(476\) | −12.4675 | + | 3.66078i | −0.571446 | + | 0.167792i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −10.8343 | − | 23.7238i | −0.495550 | − | 1.08510i | ||||
\(479\) | −1.81532 | − | 12.6259i | −0.0829443 | − | 0.576890i | −0.988333 | − | 0.152307i | \(-0.951330\pi\) |
0.905389 | − | 0.424583i | \(-0.139579\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −11.4388 | + | 13.2011i | −0.521565 | + | 0.601918i | ||||
\(482\) | 1.39021 | 0.0633224 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −4.92286 | −0.223766 | ||||||||
\(485\) | −2.76022 | + | 3.18546i | −0.125335 | + | 0.144644i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −4.77328 | − | 33.1989i | −0.216298 | − | 1.50438i | −0.751541 | − | 0.659686i | \(-0.770689\pi\) |
0.535243 | − | 0.844698i | \(-0.320220\pi\) | |||||||
\(488\) | 0.700702 | + | 1.53432i | 0.0317193 | + | 0.0694556i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.986605 | + | 0.289693i | −0.0445703 | + | 0.0130870i | ||||
\(491\) | 31.0235 | + | 19.9376i | 1.40007 | + | 0.899770i | 0.999861 | − | 0.0166550i | \(-0.00530169\pi\) |
0.400207 | + | 0.916425i | \(0.368938\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 43.1785 | + | 12.6783i | 1.94466 | + | 0.571004i | ||||
\(494\) | −8.03930 | − | 9.27785i | −0.361705 | − | 0.417430i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −5.60835 | − | 1.64676i | −0.251822 | − | 0.0739417i | ||||
\(497\) | −3.45535 | + | 7.56617i | −0.154994 | + | 0.339389i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −1.74302 | + | 0.511796i | −0.0780281 | + | 0.0229111i | −0.320514 | − | 0.947244i | \(-0.603856\pi\) |
0.242485 | + | 0.970155i | \(0.422037\pi\) | |||||||
\(500\) | −0.523157 | + | 3.63863i | −0.0233963 | + | 0.162725i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 3.71317 | + | 25.8256i | 0.165727 | + | 1.15265i | ||||
\(503\) | 36.3640 | − | 23.3697i | 1.62139 | − | 1.04200i | 0.666304 | − | 0.745681i | \(-0.267876\pi\) |
0.955087 | − | 0.296324i | \(-0.0957608\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3.00158 | −0.133569 | ||||||||
\(506\) | −4.34812 | − | 10.9940i | −0.193298 | − | 0.488743i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 4.94344 | − | 5.70503i | 0.219330 | − | 0.253120i | ||||
\(509\) | −19.8613 | + | 12.7641i | −0.880335 | + | 0.565757i | −0.900898 | − | 0.434032i | \(-0.857091\pi\) |
0.0205626 | + | 0.999789i | \(0.493454\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 7.43486 | + | 16.2801i | 0.328899 | + | 0.720188i | ||||
\(512\) | −0.142315 | + | 0.989821i | −0.00628949 | + | 0.0437443i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 23.5511 | + | 15.1354i | 1.03880 | + | 0.667594i | ||||
\(515\) | 2.28448 | − | 5.00232i | 0.100666 | − | 0.220428i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.94713 | − | 4.55524i | −0.173595 | − | 0.200339i | ||||
\(518\) | 6.31144 | + | 7.28379i | 0.277309 | + | 0.320031i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.578047 | − | 1.26575i | 0.0253490 | − | 0.0555067i | ||||
\(521\) | −11.1492 | − | 7.16515i | −0.488455 | − | 0.313911i | 0.273129 | − | 0.961977i | \(-0.411941\pi\) |
−0.761584 | + | 0.648067i | \(0.775578\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 2.34845 | − | 16.3338i | 0.102690 | − | 0.714227i | −0.871810 | − | 0.489843i | \(-0.837054\pi\) |
0.974501 | − | 0.224384i | \(-0.0720369\pi\) | |||||||
\(524\) | 1.35869 | + | 2.97511i | 0.0593544 | + | 0.129968i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −7.93593 | + | 5.10011i | −0.346023 | + | 0.222375i | ||||
\(527\) | −24.1495 | + | 27.8700i | −1.05197 | + | 1.21404i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −16.7779 | + | 15.7321i | −0.729476 | + | 0.684007i | ||||
\(530\) | 2.25443 | 0.0979261 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −5.69828 | + | 3.66206i | −0.247052 | + | 0.158771i | ||||
\(533\) | 2.53967 | + | 17.6638i | 0.110005 | + | 0.765102i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.354477 | − | 2.46544i | 0.0153254 | − | 0.106590i | ||||
\(536\) | 13.5237 | − | 3.97093i | 0.584136 | − | 0.171518i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −7.21622 | + | 15.8013i | −0.311113 | + | 0.681243i | ||||
\(539\) | −6.52430 | − | 1.91571i | −0.281021 | − | 0.0825154i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 11.5093 | + | 13.2824i | 0.494823 | + | 0.571056i | 0.947148 | − | 0.320797i | \(-0.103951\pi\) |
−0.452325 | + | 0.891853i | \(0.649405\pi\) | |||||||
\(542\) | −17.1793 | − | 5.04431i | −0.737915 | − | 0.216672i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 5.30755 | + | 3.41095i | 0.227559 | + | 0.146243i | ||||
\(545\) | −1.45925 | + | 0.428474i | −0.0625073 | + | 0.0183538i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6.97178 | − | 15.2661i | −0.298092 | − | 0.652730i | 0.700022 | − | 0.714121i | \(-0.253174\pi\) |
−0.998114 | + | 0.0613912i | \(0.980446\pi\) | |||||||
\(548\) | 2.26703 | + | 15.7675i | 0.0968426 | + | 0.673555i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −7.84742 | + | 9.05641i | −0.334615 | + | 0.386167i | ||||
\(551\) | 23.4588 | 0.999379 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −4.90989 | −0.208790 | ||||||||
\(554\) | 10.0076 | − | 11.5494i | 0.425184 | − | 0.490688i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.406233 | + | 2.82541i | 0.0172281 | + | 0.119824i | ||||
\(557\) | 2.94060 | + | 6.43902i | 0.124597 | + | 0.272830i | 0.961644 | − | 0.274302i | \(-0.0884468\pi\) |
−0.837046 | + | 0.547132i | \(0.815720\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −39.8902 | + | 11.7128i | −1.68718 | + | 0.495400i | ||||
\(560\) | −0.645886 | − | 0.415086i | −0.0272937 | − | 0.0175406i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 5.68699 | + | 1.66985i | 0.239891 | + | 0.0704384i | ||||
\(563\) | 13.8766 | + | 16.0145i | 0.584830 | + | 0.674930i | 0.968636 | − | 0.248484i | \(-0.0799322\pi\) |
−0.383806 | + | 0.923414i | \(0.625387\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.99775 | − | 0.586594i | −0.0840462 | − | 0.0246782i | ||||
\(566\) | 0.649526 | − | 1.42226i | 0.0273016 | − | 0.0597822i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 3.87510 | − | 1.13783i | 0.162595 | − | 0.0477423i | ||||
\(569\) | −1.88114 | + | 13.0836i | −0.0788615 | + | 0.548494i | 0.911640 | + | 0.410990i | \(0.134817\pi\) |
−0.990501 | + | 0.137504i | \(0.956092\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.20729 | − | 22.3072i | −0.134221 | − | 0.933527i | −0.939967 | − | 0.341266i | \(-0.889144\pi\) |
0.805746 | − | 0.592261i | \(-0.201765\pi\) | |||||||
\(572\) | 7.74103 | − | 4.97486i | 0.323669 | − | 0.208009i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 9.84632 | 0.410978 | ||||||||
\(575\) | 21.9985 | + | 7.71682i | 0.917399 | + | 0.321814i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 9.68345 | − | 11.1753i | 0.403127 | − | 0.465233i | −0.517496 | − | 0.855686i | \(-0.673136\pi\) |
0.920623 | + | 0.390452i | \(0.127681\pi\) | |||||||
\(578\) | 19.1845 | − | 12.3291i | 0.797969 | − | 0.512824i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 1.10459 | + | 2.41871i | 0.0458655 | + | 0.100431i | ||||
\(581\) | 1.24189 | − | 8.63754i | 0.0515223 | − | 0.358345i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 12.5416 | + | 8.06002i | 0.519421 | + | 0.333812i | ||||
\(584\) | 3.60997 | − | 7.90472i | 0.149381 | − | 0.327100i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 1.34781 | + | 1.55546i | 0.0556776 | + | 0.0642554i | ||||
\(587\) | 9.99065 | + | 11.5298i | 0.412358 | + | 0.475887i | 0.923494 | − | 0.383613i | \(-0.125320\pi\) |
−0.511136 | + | 0.859500i | \(0.670775\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −7.98587 | + | 17.4866i | −0.329052 | + | 0.720524i | ||||
\(590\) | −3.70371 | − | 2.38023i | −0.152479 | − | 0.0979926i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0.665978 | − | 4.63198i | 0.0273715 | − | 0.190373i | ||||
\(593\) | 1.54253 | + | 3.37768i | 0.0633443 | + | 0.138705i | 0.938657 | − | 0.344854i | \(-0.112071\pi\) |
−0.875312 | + | 0.483558i | \(0.839344\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −4.07495 | + | 2.61881i | −0.167057 | + | 0.107361i | ||||
\(596\) | −1.91136 | + | 2.20583i | −0.0782924 | + | 0.0903543i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −14.5385 | − | 10.4446i | −0.594523 | − | 0.427113i | ||||
\(599\) | 8.17752 | 0.334124 | 0.167062 | − | 0.985946i | \(-0.446572\pi\) | ||||
0.167062 | + | 0.985946i | \(0.446572\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 28.9896 | − | 18.6305i | 1.18251 | − | 0.759952i | 0.206663 | − | 0.978412i | \(-0.433740\pi\) |
0.975846 | + | 0.218460i | \(0.0701033\pi\) | |||||||
\(602\) | 3.26455 | + | 22.7054i | 0.133053 | + | 0.925404i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −3.49556 | + | 24.3122i | −0.142232 | + | 0.989248i | ||||
\(605\) | −1.76083 | + | 0.517027i | −0.0715880 | + | 0.0210201i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 7.92178 | − | 17.3463i | 0.321535 | − | 0.704063i | −0.677984 | − | 0.735077i | \(-0.737146\pi\) |
0.999519 | + | 0.0310132i | \(0.00987340\pi\) | |||||||
\(608\) | 3.15565 | + | 0.926583i | 0.127979 | + | 0.0375779i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.411774 | + | 0.475213i | 0.0166723 | + | 0.0192408i | ||||
\(611\) | −8.75683 | − | 2.57124i | −0.354263 | − | 0.104021i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 9.99590 | + | 6.42398i | 0.403731 | + | 0.259462i | 0.726710 | − | 0.686944i | \(-0.241048\pi\) |
−0.322980 | + | 0.946406i | \(0.604685\pi\) | |||||||
\(614\) | −10.3952 | + | 3.05231i | −0.419517 | + | 0.123181i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2.10912 | − | 4.61833i | −0.0849789 | − | 0.186078i | ||||
\(617\) | −1.52507 | − | 10.6071i | −0.0613972 | − | 0.427027i | −0.997217 | − | 0.0745490i | \(-0.976248\pi\) |
0.935820 | − | 0.352478i | \(-0.114661\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 3.76265 | − | 4.34233i | 0.151234 | − | 0.174533i | −0.675077 | − | 0.737747i | \(-0.735890\pi\) |
0.826311 | + | 0.563214i | \(0.190435\pi\) | |||||||
\(620\) | −2.17897 | −0.0875097 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 22.8972 | 0.918095 | ||||||||
\(623\) | −12.1804 | + | 14.0569i | −0.487998 | + | 0.563179i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −3.26396 | − | 22.7013i | −0.130558 | − | 0.908053i | ||||
\(626\) | −9.69914 | − | 21.2382i | −0.387656 | − | 0.848848i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 12.5737 | − | 3.69197i | 0.501744 | − | 0.147325i | ||||
\(629\) | −24.8372 | − | 15.9619i | −0.990326 | − | 0.636444i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 13.1735 | + | 3.86808i | 0.524428 | + | 0.153986i | 0.533222 | − | 0.845975i | \(-0.320981\pi\) |
−0.00879404 | + | 0.999961i | \(0.502799\pi\) | |||||||
\(632\) | 1.56117 | + | 1.80169i | 0.0621001 | + | 0.0716674i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0.483037 | + | 0.141833i | 0.0191839 | + | 0.00563289i | ||||
\(635\) | 1.16902 | − | 2.55980i | 0.0463911 | − | 0.101582i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −9.87884 | + | 2.90069i | −0.391414 | + | 0.114930i | ||||
\(638\) | −2.50241 | + | 17.4047i | −0.0990714 | + | 0.689057i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.0530529 | + | 0.368991i | 0.00209710 | + | 0.0145857i | ||||
\(641\) | −30.5273 | + | 19.6187i | −1.20576 | + | 0.774892i | −0.979943 | − | 0.199279i | \(-0.936140\pi\) |
−0.225813 | + | 0.974171i | \(0.572504\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −14.8477 | −0.585535 | −0.292768 | − | 0.956184i | \(-0.594576\pi\) | ||||
−0.292768 | + | 0.956184i | \(0.594576\pi\) | |||||||
\(644\) | −6.84586 | + | 7.11992i | −0.269765 | + | 0.280564i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 13.5882 | − | 15.6817i | 0.534622 | − | 0.616987i | ||||
\(647\) | −1.61467 | + | 1.03768i | −0.0634792 | + | 0.0407956i | −0.571995 | − | 0.820257i | \(-0.693831\pi\) |
0.508516 | + | 0.861052i | \(0.330194\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −12.0944 | − | 26.4830i | −0.474746 | − | 1.03955i | ||||
\(650\) | −2.58226 | + | 17.9600i | −0.101285 | + | 0.704451i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 3.88581 | + | 2.49726i | 0.152180 | + | 0.0978001i | ||||
\(653\) | 9.92317 | − | 21.7287i | 0.388324 | − | 0.850310i | −0.609998 | − | 0.792403i | \(-0.708830\pi\) |
0.998322 | − | 0.0579075i | \(-0.0184428\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.798444 | + | 0.921454i | 0.0311978 | + | 0.0360042i | ||||
\(656\) | −3.13079 | − | 3.61312i | −0.122237 | − | 0.141069i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.09187 | + | 4.58056i | −0.0815497 | + | 0.178569i | ||||
\(659\) | 1.46729 | + | 0.942968i | 0.0571574 | + | 0.0367328i | 0.568907 | − | 0.822402i | \(-0.307366\pi\) |
−0.511750 | + | 0.859134i | \(0.671003\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −4.36964 | + | 30.3915i | −0.169959 | + | 1.18209i | 0.709005 | + | 0.705204i | \(0.249144\pi\) |
−0.878964 | + | 0.476888i | \(0.841765\pi\) | |||||||
\(662\) | 8.39272 | + | 18.3775i | 0.326192 | + | 0.714262i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −3.56443 | + | 2.29072i | −0.138327 | + | 0.0888972i | ||||
\(665\) | −1.65358 | + | 1.90833i | −0.0641231 | + | 0.0740020i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 33.2768 | − | 7.92577i | 1.28848 | − | 0.306887i | ||||
\(668\) | 3.93949 | 0.152424 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 4.42019 | − | 2.84068i | 0.170767 | − | 0.109745i | ||||
\(671\) | 0.591768 | + | 4.11583i | 0.0228449 | + | 0.158890i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.67682 | + | 11.6625i | −0.0646367 | + | 0.449558i | 0.931643 | + | 0.363376i | \(0.118376\pi\) |
−0.996279 | + | 0.0861824i | \(0.972533\pi\) | |||||||
\(674\) | −3.93944 | + | 1.15672i | −0.151742 | + | 0.0445554i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.387574 | − | 0.848668i | 0.0149067 | − | 0.0326411i | ||||
\(677\) | 27.3889 | + | 8.04212i | 1.05264 | + | 0.309084i | 0.761885 | − | 0.647713i | \(-0.224274\pi\) |
0.290758 | + | 0.956797i | \(0.406092\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 15.2494 | + | 17.5988i | 0.585220 | + | 0.675380i | ||||
\(680\) | 2.25667 | + | 0.662618i | 0.0865393 | + | 0.0254102i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −12.1219 | − | 7.79025i | −0.464170 | − | 0.298304i | ||||
\(683\) | 14.4113 | − | 4.23154i | 0.551433 | − | 0.161915i | 0.00586616 | − | 0.999983i | \(-0.498133\pi\) |
0.545566 | + | 0.838068i | \(0.316315\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.46688 | + | 5.40171i | 0.0942546 | + | 0.206389i | ||||
\(686\) | 2.86019 | + | 19.8930i | 0.109202 | + | 0.759519i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 7.29377 | − | 8.41745i | 0.278072 | − | 0.320912i | ||||
\(689\) | 22.5735 | 0.859983 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 20.7588 | 0.789701 | 0.394851 | − | 0.918745i | \(-0.370796\pi\) | ||||
0.394851 | + | 0.918745i | \(0.370796\pi\) | |||||||
\(692\) | 12.4428 | − | 14.3598i | 0.473005 | − | 0.545877i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 3.47469 | + | 24.1670i | 0.131898 | + | 0.917367i | ||||
\(695\) | 0.442045 | + | 0.967943i | 0.0167677 | + | 0.0367162i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −28.9410 | + | 8.49783i | −1.09622 | + | 0.321878i | ||||
\(698\) | 14.5496 | + | 9.35043i | 0.550709 | + | 0.353919i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 9.60594 | + | 2.82056i | 0.363070 | + | 0.106607i | ||||
\(701\) | 15.6028 | + | 18.0066i | 0.589311 | + | 0.680101i | 0.969580 | − | 0.244775i | \(-0.0787141\pi\) |
−0.380269 | + | 0.924876i | \(0.624169\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −14.7672 | − | 4.33605i | −0.556956 | − | 0.163537i | ||||
\(704\) | −1.02408 | + | 2.24241i | −0.0385963 | + | 0.0845141i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −9.19077 | + | 2.69865i | −0.345899 | + | 0.101565i | ||||
\(707\) | −2.35999 | + | 16.4141i | −0.0887567 | + | 0.617317i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.59095 | + | 18.0204i | 0.0973050 | + | 0.676771i | 0.978836 | + | 0.204645i | \(0.0656041\pi\) |
−0.881531 | + | 0.472126i | \(0.843487\pi\) | |||||||
\(710\) | 1.26656 | − | 0.813970i | 0.0475332 | − | 0.0305478i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 9.03115 | 0.338457 | ||||||||
\(713\) | −5.42010 | + | 27.5032i | −0.202984 | + | 1.03000i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.24636 | − | 2.59244i | 0.0840092 | − | 0.0969518i | ||||
\(716\) | −2.01853 | + | 1.29723i | −0.0754359 | + | 0.0484797i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −0.0520416 | − | 0.113955i | −0.00194218 | − | 0.00425277i | ||||
\(719\) | −1.78226 | + | 12.3959i | −0.0664671 | + | 0.462289i | 0.929221 | + | 0.369524i | \(0.120479\pi\) |
−0.995688 | + | 0.0927643i | \(0.970430\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −25.5590 | − | 16.4257i | −0.951865 | − | 0.611727i | ||||
\(722\) | −3.39947 | + | 7.44380i | −0.126515 | + | 0.277029i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −17.0305 | − | 19.6543i | −0.632934 | − | 0.730445i | ||||
\(725\) | −22.7058 | − | 26.2039i | −0.843271 | − | 0.973187i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −5.15039 | + | 11.2778i | −0.191017 | + | 0.418270i | −0.980773 | − | 0.195152i | \(-0.937480\pi\) |
0.789756 | + | 0.613422i | \(0.210207\pi\) | |||||||
\(728\) | −6.46723 | − | 4.15624i | −0.239692 | − | 0.154040i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.461031 | − | 3.20654i | 0.0170635 | − | 0.118679i | ||||
\(731\) | −29.1912 | − | 63.9198i | −1.07968 | − | 2.36416i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −13.8021 | + | 8.87008i | −0.509793 | + | 0.327624i | −0.770123 | − | 0.637896i | \(-0.779805\pi\) |
0.260330 | + | 0.965520i | \(0.416169\pi\) | |||||||
\(734\) | 2.77314 | − | 3.20037i | 0.102358 | − | 0.118128i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 4.78940 | + | 0.248210i | 0.176540 | + | 0.00914915i | ||||
\(737\) | 34.7460 | 1.27988 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −35.5232 | + | 22.8294i | −1.30674 | + | 0.839792i | −0.993929 | − | 0.110023i | \(-0.964908\pi\) |
−0.312813 | + | 0.949815i | \(0.601271\pi\) | |||||||
\(740\) | −0.248267 | − | 1.72673i | −0.00912648 | − | 0.0634760i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.77255 | − | 12.3283i | 0.0650722 | − | 0.452587i | ||||
\(743\) | −13.8891 | + | 4.07820i | −0.509541 | + | 0.149615i | −0.526390 | − | 0.850243i | \(-0.676455\pi\) |
0.0168491 | + | 0.999858i | \(0.494637\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.451997 | + | 0.989735i | −0.0165599 | + | 0.0362611i | ||||
\(746\) | 0.601077 | + | 0.176492i | 0.0220070 | + | 0.00646184i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 10.1851 | + | 11.7542i | 0.372404 | + | 0.429778i | ||||
\(749\) | −13.2035 | − | 3.87691i | −0.482447 | − | 0.141659i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −24.5633 | − | 15.7859i | −0.896327 | − | 0.576034i | 0.00937174 | − | 0.999956i | \(-0.497017\pi\) |
−0.905699 | + | 0.423922i | \(0.860653\pi\) | |||||||
\(752\) | 2.34598 | − | 0.688843i | 0.0855492 | − | 0.0251195i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 11.0602 | + | 24.2185i | 0.402789 | + | 0.881984i | ||||
\(755\) | 1.30310 | + | 9.06323i | 0.0474245 | + | 0.329845i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 10.7066 | − | 12.3561i | 0.389140 | − | 0.449091i | −0.527051 | − | 0.849834i | \(-0.676702\pi\) |
0.916191 | + | 0.400743i | \(0.131248\pi\) | |||||||
\(758\) | −10.5210 | −0.382140 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.22605 | 0.0444733 | ||||||||
\(761\) | −3.34567 | + | 3.86111i | −0.121281 | + | 0.139965i | −0.813143 | − | 0.582064i | \(-0.802245\pi\) |
0.691862 | + | 0.722030i | \(0.256791\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1.19577 | + | 8.31677i | 0.0432898 | + | 0.301087i | ||||
\(764\) | 4.34904 | + | 9.52307i | 0.157343 | + | 0.344532i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −14.7473 | + | 4.33020i | −0.532841 | + | 0.156456i | ||||
\(767\) | −37.0852 | − | 23.8332i | −1.33907 | − | 0.860567i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −27.4772 | − | 8.06804i | −0.990854 | − | 0.290941i | −0.254156 | − | 0.967163i | \(-0.581798\pi\) |
−0.736698 | + | 0.676222i | \(0.763616\pi\) | |||||||
\(770\) | −1.23945 | − | 1.43040i | −0.0446665 | − | 0.0515479i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −0.740001 | − | 0.217284i | −0.0266332 | − | 0.00782022i | ||||
\(773\) | −10.3555 | + | 22.6753i | −0.372460 | + | 0.815575i | 0.626875 | + | 0.779120i | \(0.284334\pi\) |
−0.999335 | + | 0.0364547i | \(0.988394\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 27.2623 | − | 8.00495i | 0.979292 | − | 0.287546i | ||||
\(776\) | 1.60911 | − | 11.1916i | 0.0577636 | − | 0.401755i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 3.09318 | + | 21.5135i | 0.110896 | + | 0.771297i | ||||
\(779\) | −13.2275 | + | 8.50081i | −0.473925 | + | 0.304573i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 9.95612 | 0.356258 | ||||||||
\(782\) | 13.9770 | − | 26.8356i | 0.499816 | − | 0.959640i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 1.80631 | − | 2.08459i | 0.0645109 | − | 0.0744496i | ||||
\(785\) | 4.10967 | − | 2.64112i | 0.146680 | − | 0.0942657i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −2.13186 | − | 4.66813i | −0.0759927 | − | 0.166401i | 0.867823 | − | 0.496874i | \(-0.165519\pi\) |
−0.943815 | + | 0.330473i | \(0.892792\pi\) | |||||||
\(788\) | 0.741077 | − | 5.15430i | 0.0263998 | − | 0.183614i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.747632 | + | 0.480474i | 0.0265996 | + | 0.0170945i | ||||
\(791\) | −4.77852 | + | 10.4635i | −0.169904 | + | 0.372039i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 4.12308 | + | 4.75829i | 0.146415 | + | 0.168972i | ||||
\(794\) | −6.65273 | − | 7.67767i | −0.236097 | − | 0.272470i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −9.69692 | + | 21.2333i | −0.343698 | + | 0.752594i | ||||
\(797\) | 8.01241 | + | 5.14926i | 0.283814 | + | 0.182396i | 0.674800 | − | 0.738000i | \(-0.264230\pi\) |
−0.390986 | + | 0.920396i | \(0.627866\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.19533 | − | 15.2689i | 0.0776653 | − | 0.540174i | ||||
\(800\) | −2.01935 | − | 4.42175i | −0.0713946 | − | 0.156332i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 26.8343 | − | 17.2454i | 0.947553 | − | 0.608956i | ||||
\(803\) | 14.0288 | − | 16.1901i | 0.495065 | − | 0.571335i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.70089 | + | 3.26568i | −0.0599483 | + | 0.115100i | ||||
\(806\) | −21.8180 | −0.768506 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 6.77358 | − | 4.35311i | 0.238294 | − | 0.153142i | ||||
\(809\) | −1.51002 | − | 10.5024i | −0.0530894 | − | 0.369245i | −0.998996 | − | 0.0448052i | \(-0.985733\pi\) |
0.945906 | − | 0.324440i | \(-0.105176\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 4.38612 | − | 30.5061i | 0.154018 | − | 1.07122i | −0.755380 | − | 0.655287i | \(-0.772548\pi\) |
0.909397 | − | 0.415928i | \(-0.136543\pi\) | |||||||
\(812\) | 14.0952 | − | 4.13872i | 0.494643 | − | 0.145240i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 4.79227 | − | 10.4936i | 0.167969 | − | 0.367801i | ||||
\(815\) | 1.65217 | + | 0.485122i | 0.0578731 | + | 0.0169931i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −23.9883 | − | 27.6840i | −0.839244 | − | 0.968539i | ||||
\(818\) | 12.6794 | + | 3.72301i | 0.443325 | + | 0.130172i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −1.49931 | − | 0.963546i | −0.0523580 | − | 0.0336485i | ||||
\(821\) | 40.3116 | − | 11.8365i | 1.40688 | − | 0.413098i | 0.511842 | − | 0.859080i | \(-0.328963\pi\) |
0.895042 | + | 0.445982i | \(0.147145\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −11.6572 | − | 25.5257i | −0.406344 | − | 0.889770i | −0.996587 | − | 0.0825444i | \(-0.973695\pi\) |
0.590243 | − | 0.807226i | \(-0.299032\pi\) | |||||||
\(824\) | 2.09941 | + | 14.6017i | 0.0731363 | + | 0.508674i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −15.9283 | + | 18.3823i | −0.554217 | + | 0.639601i | ||||
\(827\) | −36.3429 | −1.26377 | −0.631883 | − | 0.775064i | \(-0.717718\pi\) | ||||
−0.631883 | + | 0.775064i | \(0.717718\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 30.0375 | 1.04325 | 0.521623 | − | 0.853176i | \(-0.325327\pi\) | ||||
0.521623 | + | 0.853176i | \(0.325327\pi\) | |||||||
\(830\) | −1.03436 | + | 1.19371i | −0.0359031 | + | 0.0414344i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.531217 | + | 3.69470i | 0.0184166 | + | 0.128091i | ||||
\(833\) | −7.22922 | − | 15.8298i | −0.250478 | − | 0.548469i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.40910 | − | 0.413748i | 0.0487638 | − | 0.0143184i | ||||
\(836\) | 6.82062 | + | 4.38335i | 0.235896 | + | 0.151601i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 4.03271 | + | 1.18411i | 0.139308 | + | 0.0409044i | ||||
\(839\) | −21.8884 | − | 25.2606i | −0.755671 | − | 0.872091i | 0.239434 | − | 0.970913i | \(-0.423038\pi\) |
−0.995105 | + | 0.0988214i | \(0.968493\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −20.9904 | − | 6.16334i | −0.723807 | − | 0.212529i | ||||
\(842\) | 2.92258 | − | 6.39956i | 0.100719 | − | 0.220543i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 8.34378 | − | 2.44995i | 0.287205 | − | 0.0843309i | ||||
\(845\) | 0.0494973 | − | 0.344261i | 0.00170276 | − | 0.0118429i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1.44290 | + | 10.0356i | 0.0495787 | + | 0.344828i | ||||
\(848\) | −5.08750 | + | 3.26954i | −0.174705 | + | 0.112276i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −30.6687 | −1.05193 | ||||||||
\(851\) | −22.4125 | − | 1.16153i | −0.768292 | − | 0.0398166i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −3.84662 | + | 4.43924i | −0.131706 | + | 0.151997i | −0.817772 | − | 0.575543i | \(-0.804791\pi\) |
0.686066 | + | 0.727540i | \(0.259336\pi\) | |||||||
\(854\) | 2.92245 | − | 1.87815i | 0.100004 | − | 0.0642689i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 2.77563 | + | 6.07778i | 0.0948690 | + | 0.207734i | ||||
\(857\) | 2.11934 | − | 14.7404i | 0.0723954 | − | 0.503521i | −0.921071 | − | 0.389395i | \(-0.872684\pi\) |
0.993466 | − | 0.114126i | \(-0.0364067\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −6.65486 | − | 4.27682i | −0.227061 | − | 0.145923i | 0.422165 | − | 0.906519i | \(-0.361270\pi\) |
−0.649225 | + | 0.760596i | \(0.724907\pi\) | |||||||
\(860\) | 1.72482 | − | 3.77683i | 0.0588159 | − | 0.128789i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 24.1116 | + | 27.8263i | 0.821245 | + | 0.947767i | ||||
\(863\) | −2.64187 | − | 3.04888i | −0.0899302 | − | 0.103785i | 0.709001 | − | 0.705208i | \(-0.249146\pi\) |
−0.798931 | + | 0.601423i | \(0.794601\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 2.94246 | − | 6.44309i | 0.100047 | − | 0.219072i | ||||
\(866\) | −22.9052 | − | 14.7203i | −0.778351 | − | 0.500216i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −1.71322 | + | 11.9157i | −0.0581504 | + | 0.404445i | ||||
\(869\) | 2.44137 | + | 5.34586i | 0.0828179 | + | 0.181346i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 44.2592 | − | 28.4437i | 1.49967 | − | 0.963777i | ||||
\(872\) | 2.67163 | − | 3.08323i | 0.0904730 | − | 0.104411i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 3.04973 | − | 15.4752i | 0.103159 | − | 0.523458i | ||||
\(875\) | 7.57096 | 0.255945 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −43.6317 | + | 28.0404i | −1.47334 | + | 0.946857i | −0.475598 | + | 0.879663i | \(0.657768\pi\) |
−0.997740 | + | 0.0671940i | \(0.978595\pi\) | |||||||
\(878\) | 3.44226 | + | 23.9415i | 0.116171 | + | 0.807985i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.130785 | + | 0.909632i | −0.00440877 | + | 0.0306637i | ||||
\(881\) | −31.1274 | + | 9.13983i | −1.04871 | + | 0.307929i | −0.760295 | − | 0.649578i | \(-0.774946\pi\) |
−0.288413 | + | 0.957506i | \(0.593128\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −2.76535 | + | 6.05528i | −0.0930615 | + | 0.203776i | −0.950438 | − | 0.310913i | \(-0.899365\pi\) |
0.857377 | + | 0.514689i | \(0.172093\pi\) | |||||||
\(884\) | 22.5960 | + | 6.63477i | 0.759984 | + | 0.223151i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 10.1029 | + | 11.6593i | 0.339412 | + | 0.391703i | ||||
\(887\) | 40.8783 | + | 12.0029i | 1.37256 | + | 0.403019i | 0.883172 | − | 0.469048i | \(-0.155403\pi\) |
0.489385 | + | 0.872068i | \(0.337221\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −13.0791 | − | 8.40541i | −0.438658 | − | 0.281908i | ||||
\(890\) | 3.23031 | − | 0.948504i | 0.108280 | − | 0.0317939i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −1.59567 | − | 3.49404i | −0.0534271 | − | 0.116989i | ||||
\(893\) | −1.14441 | − | 7.95953i | −0.0382961 | − | 0.266355i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −0.585754 | + | 0.675997i | −0.0195796 | + | 0.0225961i | ||||
\(896\) | 2.05954 | 0.0688043 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −17.3241 | −0.578112 | ||||||||
\(899\) | 27.3024 | − | 31.5086i | 0.910586 | − | 1.05087i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 5.42993 | + | 37.7660i | 0.180897 | + | 1.25817i | ||||
\(902\) | −4.89594 | − | 10.7206i | −0.163017 | − | 0.356958i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 5.35899 | − | 1.57354i | 0.178237 | − | 0.0523352i | ||||
\(905\) | −8.15577 | − | 5.24140i | −0.271107 | − | 0.174230i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −32.8643 | − | 9.64984i | −1.09124 | − | 0.320418i | −0.313875 | − | 0.949464i | \(-0.601627\pi\) |
−0.777367 | + | 0.629047i | \(0.783445\pi\) | |||||||
\(908\) | 1.33201 | + | 1.53722i | 0.0442042 | + | 0.0510143i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −2.74975 | − | 0.807398i | −0.0911532 | − | 0.0267650i | ||||
\(911\) | 14.6448 | − | 32.0677i | 0.485205 | − | 1.06245i | −0.495794 | − | 0.868440i | \(-0.665123\pi\) |
0.980999 | − | 0.194011i | \(-0.0621499\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −10.0220 | + | 2.94273i | −0.331680 | + | 0.0973901i | ||||
\(914\) | 0.977556 | − | 6.79905i | 0.0323347 | − | 0.224893i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −3.90521 | − | 27.1613i | −0.129032 | − | 0.897436i | ||||
\(917\) | 5.66674 | − | 3.64179i | 0.187132 | − | 0.120263i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 34.5723 | 1.14043 | 0.570217 | − | 0.821494i | \(-0.306859\pi\) | ||||
0.570217 | + | 0.821494i | \(0.306859\pi\) | |||||||
\(920\) | 1.73917 | − | 0.414230i | 0.0573386 | − | 0.0136568i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −0.223367 | + | 0.257779i | −0.00735620 | + | 0.00848951i | ||||
\(923\) | 12.6821 | − | 8.15026i | 0.417435 | − | 0.268269i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 9.44975 | + | 20.6921i | 0.310706 | + | 0.680351i | ||||
\(926\) | −2.32234 | + | 16.1523i | −0.0763169 | + | 0.530796i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −6.00048 | − | 3.85627i | −0.196975 | − | 0.126588i | ||||
\(929\) | −12.8087 | + | 28.0472i | −0.420241 | + | 0.920200i | 0.574569 | + | 0.818456i | \(0.305170\pi\) |
−0.994811 | + | 0.101744i | \(0.967558\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −5.94071 | − | 6.85595i | −0.194699 | − | 0.224695i | ||||
\(932\) | 4.61337 | + | 5.32411i | 0.151116 | + | 0.174397i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 15.0523 | − | 32.9600i | 0.492527 | − | 1.07848i | ||||
\(935\) | 4.87756 | + | 3.13462i | 0.159513 | + | 0.102513i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 0.649995 | − | 4.52082i | 0.0212344 | − | 0.147689i | −0.976446 | − | 0.215763i | \(-0.930776\pi\) |
0.997680 | + | 0.0680739i | \(0.0216854\pi\) | |||||||
\(938\) | −12.0589 | − | 26.4052i | −0.393736 | − | 0.862162i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.766777 | − | 0.492778i | 0.0250095 | − | 0.0160726i | ||||
\(941\) | 7.54865 | − | 8.71161i | 0.246079 | − | 0.283990i | −0.619251 | − | 0.785193i | \(-0.712564\pi\) |
0.865330 | + | 0.501203i | \(0.167109\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −15.8914 | + | 16.5276i | −0.517495 | + | 0.538212i | ||||
\(944\) | 11.8100 | 0.384384 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 23.0983 | − | 14.8444i | 0.750990 | − | 0.482632i | ||||
\(947\) | −8.54365 | − | 59.4224i | −0.277631 | − | 1.93097i | −0.356958 | − | 0.934120i | \(-0.616186\pi\) |
0.0793268 | − | 0.996849i | \(-0.474723\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 4.61629 | − | 32.1070i | 0.149851 | − | 1.04224i | ||||
\(950\) | −15.3397 | + | 4.50415i | −0.497686 | + | 0.146134i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 5.39782 | − | 11.8196i | 0.174944 | − | 0.383075i | ||||
\(953\) | −9.06804 | − | 2.66262i | −0.293743 | − | 0.0862506i | 0.131541 | − | 0.991311i | \(-0.458007\pi\) |
−0.425284 | + | 0.905060i | \(0.639826\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 2.55575 | + | 2.94950i | 0.0827023 | + | 0.0954435i | ||||
\(956\) | 25.0243 | + | 7.34778i | 0.809342 | + | 0.237644i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 10.7308 | + | 6.89625i | 0.346696 | + | 0.222808i | ||||
\(959\) | 31.4788 | − | 9.24301i | 1.01650 | − | 0.298472i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 1.31494 | + | 2.87931i | 0.0424173 | + | 0.0928809i | ||||
\(962\) | −2.48589 | − | 17.2897i | −0.0801483 | − | 0.557444i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −0.910396 | + | 1.05065i | −0.0293219 | + | 0.0338392i | ||||
\(965\) | −0.287508 | −0.00925520 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −39.0760 | −1.25660 | −0.628300 | − | 0.777971i | \(-0.716249\pi\) | ||||
−0.628300 | + | 0.777971i | \(0.716249\pi\) | |||||||
\(968\) | 3.22379 | − | 3.72045i | 0.103616 | − | 0.119580i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.599853 | − | 4.17207i | −0.0192601 | − | 0.133957i | ||||
\(971\) | 17.2322 | + | 37.7334i | 0.553009 | + | 1.21092i | 0.955362 | + | 0.295437i | \(0.0954651\pi\) |
−0.402353 | + | 0.915484i | \(0.631808\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 5.64075 | − | 1.65627i | 0.180834 | − | 0.0530977i | ||||
\(974\) | 28.2159 | + | 18.1332i | 0.904094 | + | 0.581026i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.61843 | − | 0.475213i | −0.0518046 | − | 0.0152112i | ||||
\(977\) | −13.5638 | − | 15.6535i | −0.433944 | − | 0.500798i | 0.496090 | − | 0.868271i | \(-0.334769\pi\) |
−0.930034 | + | 0.367473i | \(0.880223\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 21.3616 | + | 6.27235i | 0.682721 | + | 0.200465i | ||||
\(980\) | 0.427153 | − | 0.935335i | 0.0136449 | − | 0.0298782i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −35.3838 | + | 10.3896i | −1.12914 | + | 0.331547i | ||||
\(983\) | −3.53975 | + | 24.6195i | −0.112901 | + | 0.785240i | 0.852173 | + | 0.523260i | \(0.175285\pi\) |
−0.965073 | + | 0.261980i | \(0.915625\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.276263 | − | 1.92145i | −0.00880247 | − | 0.0612225i | ||||
\(986\) | −37.8576 | + | 24.3296i | −1.20563 | + | 0.774811i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 12.2764 | 0.390563 | ||||||||
\(989\) | −43.3811 | − | 31.1655i | −1.37944 | − | 0.991007i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 6.02871 | − | 6.95750i | 0.191508 | − | 0.221012i | −0.651873 | − | 0.758328i | \(-0.726016\pi\) |
0.843381 | + | 0.537316i | \(0.180562\pi\) | |||||||
\(992\) | 4.91722 | − | 3.16011i | 0.156122 | − | 0.100334i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −3.45535 | − | 7.56617i | −0.109597 | − | 0.239984i | ||||
\(995\) | −1.23840 | + | 8.61326i | −0.0392599 | + | 0.273059i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 35.9389 | + | 23.0965i | 1.13820 | + | 0.731474i | 0.967255 | − | 0.253808i | \(-0.0816831\pi\) |
0.170940 | + | 0.985281i | \(0.445319\pi\) | |||||||
\(998\) | 0.754644 | − | 1.65244i | 0.0238878 | − | 0.0523070i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 414.2.i.c.361.1 | 10 | ||
3.2 | odd | 2 | 46.2.c.b.39.1 | yes | 10 | ||
12.11 | even | 2 | 368.2.m.a.177.1 | 10 | |||
23.6 | even | 11 | 9522.2.a.bz.1.3 | 5 | |||
23.13 | even | 11 | inner | 414.2.i.c.289.1 | 10 | ||
23.17 | odd | 22 | 9522.2.a.bw.1.3 | 5 | |||
69.17 | even | 22 | 1058.2.a.k.1.3 | 5 | |||
69.29 | odd | 22 | 1058.2.a.j.1.3 | 5 | |||
69.59 | odd | 22 | 46.2.c.b.13.1 | ✓ | 10 | ||
276.59 | even | 22 | 368.2.m.a.289.1 | 10 | |||
276.155 | odd | 22 | 8464.2.a.bv.1.3 | 5 | |||
276.167 | even | 22 | 8464.2.a.bu.1.3 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
46.2.c.b.13.1 | ✓ | 10 | 69.59 | odd | 22 | ||
46.2.c.b.39.1 | yes | 10 | 3.2 | odd | 2 | ||
368.2.m.a.177.1 | 10 | 12.11 | even | 2 | |||
368.2.m.a.289.1 | 10 | 276.59 | even | 22 | |||
414.2.i.c.289.1 | 10 | 23.13 | even | 11 | inner | ||
414.2.i.c.361.1 | 10 | 1.1 | even | 1 | trivial | ||
1058.2.a.j.1.3 | 5 | 69.29 | odd | 22 | |||
1058.2.a.k.1.3 | 5 | 69.17 | even | 22 | |||
8464.2.a.bu.1.3 | 5 | 276.167 | even | 22 | |||
8464.2.a.bv.1.3 | 5 | 276.155 | odd | 22 | |||
9522.2.a.bw.1.3 | 5 | 23.17 | odd | 22 | |||
9522.2.a.bz.1.3 | 5 | 23.6 | even | 11 |