Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(11,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 21, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.w (of order \(32\), degree \(16\), 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(992\) |
Relative dimension: | \(62\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 11.11 | ||
Character | \(\chi\) | \(=\) | 384.11 |
Dual form | 384.2.w.a.35.11 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{21}{32}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.15643 | − | 0.814046i | −0.817719 | − | 0.575618i | ||||
\(3\) | −0.824531 | − | 1.52320i | −0.476043 | − | 0.879422i | ||||
\(4\) | 0.674657 | + | 1.88277i | 0.337329 | + | 0.941387i | ||||
\(5\) | −0.611958 | − | 0.327098i | −0.273676 | − | 0.146283i | 0.328850 | − | 0.944382i | \(-0.393339\pi\) |
−0.602526 | + | 0.798099i | \(0.705839\pi\) | |||||||
\(6\) | −0.286446 | + | 2.43268i | −0.116941 | + | 0.993139i | ||||
\(7\) | 2.75895 | + | 0.548789i | 1.04278 | + | 0.207423i | 0.686632 | − | 0.727005i | \(-0.259088\pi\) |
0.356152 | + | 0.934428i | \(0.384088\pi\) | |||||||
\(8\) | 0.752472 | − | 2.72650i | 0.266039 | − | 0.963962i | ||||
\(9\) | −1.64030 | + | 2.51186i | −0.546765 | + | 0.837286i | ||||
\(10\) | 0.441413 | + | 0.876428i | 0.139587 | + | 0.277151i | ||||
\(11\) | 2.48753 | − | 2.04146i | 0.750017 | − | 0.615523i | −0.179732 | − | 0.983716i | \(-0.557523\pi\) |
0.929750 | + | 0.368192i | \(0.120023\pi\) | |||||||
\(12\) | 2.31157 | − | 2.58005i | 0.667293 | − | 0.744795i | ||||
\(13\) | 3.00482 | − | 1.60611i | 0.833386 | − | 0.445454i | 0.00123256 | − | 0.999999i | \(-0.499608\pi\) |
0.832154 | + | 0.554545i | \(0.187108\pi\) | |||||||
\(14\) | −2.74379 | − | 2.88055i | −0.733308 | − | 0.769859i | ||||
\(15\) | 0.00634129 | + | 1.20184i | 0.00163731 | + | 0.310313i | ||||
\(16\) | −3.08968 | + | 2.54045i | −0.772419 | + | 0.635113i | ||||
\(17\) | −0.432628 | + | 0.179200i | −0.104928 | + | 0.0434624i | −0.434530 | − | 0.900657i | \(-0.643085\pi\) |
0.329602 | + | 0.944120i | \(0.393085\pi\) | |||||||
\(18\) | 3.94165 | − | 1.56951i | 0.929057 | − | 0.369937i | ||||
\(19\) | 1.08049 | − | 3.56189i | 0.247881 | − | 0.817154i | −0.741392 | − | 0.671073i | \(-0.765834\pi\) |
0.989273 | − | 0.146081i | \(-0.0466662\pi\) | |||||||
\(20\) | 0.202990 | − | 1.37286i | 0.0453900 | − | 0.306980i | ||||
\(21\) | −1.43892 | − | 4.65493i | −0.313999 | − | 1.01579i | ||||
\(22\) | −4.53849 | + | 0.335842i | −0.967610 | + | 0.0716018i | ||||
\(23\) | −0.151876 | − | 0.101480i | −0.0316683 | − | 0.0211601i | 0.539635 | − | 0.841899i | \(-0.318562\pi\) |
−0.571304 | + | 0.820739i | \(0.693562\pi\) | |||||||
\(24\) | −4.77345 | + | 1.10191i | −0.974376 | + | 0.224927i | ||||
\(25\) | −2.51035 | − | 3.75701i | −0.502070 | − | 0.751401i | ||||
\(26\) | −4.78230 | − | 0.588710i | −0.937887 | − | 0.115456i | ||||
\(27\) | 5.17855 | + | 0.427399i | 0.996611 | + | 0.0822529i | ||||
\(28\) | 0.828098 | + | 5.56472i | 0.156496 | + | 1.05163i | ||||
\(29\) | 0.581600 | + | 0.477307i | 0.108000 | + | 0.0886337i | 0.686844 | − | 0.726805i | \(-0.258996\pi\) |
−0.578843 | + | 0.815439i | \(0.696496\pi\) | |||||||
\(30\) | 0.971019 | − | 1.39500i | 0.177283 | − | 0.254692i | ||||
\(31\) | −3.42580 | + | 3.42580i | −0.615293 | + | 0.615293i | −0.944320 | − | 0.329028i | \(-0.893279\pi\) |
0.329028 | + | 0.944320i | \(0.393279\pi\) | |||||||
\(32\) | 5.64104 | − | 0.422715i | 0.997204 | − | 0.0747262i | ||||
\(33\) | −5.16060 | − | 2.10576i | −0.898346 | − | 0.366566i | ||||
\(34\) | 0.646181 | + | 0.144947i | 0.110819 | + | 0.0248581i | ||||
\(35\) | −1.50885 | − | 1.23828i | −0.255043 | − | 0.209308i | ||||
\(36\) | −5.83590 | − | 1.39366i | −0.972650 | − | 0.232277i | ||||
\(37\) | −2.06718 | − | 6.81459i | −0.339843 | − | 1.12031i | −0.945782 | − | 0.324801i | \(-0.894703\pi\) |
0.605939 | − | 0.795511i | \(-0.292797\pi\) | |||||||
\(38\) | −4.14905 | + | 3.23951i | −0.673065 | + | 0.525518i | ||||
\(39\) | −4.92400 | − | 3.25266i | −0.788470 | − | 0.520843i | ||||
\(40\) | −1.35231 | + | 1.42237i | −0.213820 | + | 0.224896i | ||||
\(41\) | −9.94330 | − | 6.64390i | −1.55288 | − | 1.03760i | −0.975196 | − | 0.221343i | \(-0.928956\pi\) |
−0.577686 | − | 0.816259i | \(-0.696044\pi\) | |||||||
\(42\) | −2.12532 | + | 6.55445i | −0.327944 | + | 1.01137i | ||||
\(43\) | −0.410961 | + | 4.17256i | −0.0626710 | + | 0.636310i | 0.911623 | + | 0.411028i | \(0.134830\pi\) |
−0.974294 | + | 0.225281i | \(0.927670\pi\) | |||||||
\(44\) | 5.52184 | + | 3.30616i | 0.832448 | + | 0.498423i | ||||
\(45\) | 1.82542 | − | 1.00061i | 0.272117 | − | 0.149163i | ||||
\(46\) | 0.0930240 | + | 0.240988i | 0.0137156 | + | 0.0355318i | ||||
\(47\) | 11.3232 | − | 4.69022i | 1.65166 | − | 0.684138i | 0.654261 | − | 0.756269i | \(-0.272980\pi\) |
0.997395 | + | 0.0721308i | \(0.0229799\pi\) | |||||||
\(48\) | 6.41716 | + | 2.61152i | 0.926237 | + | 0.376940i | ||||
\(49\) | 0.843469 | + | 0.349376i | 0.120496 | + | 0.0499109i | ||||
\(50\) | −0.155334 | + | 6.38826i | −0.0219675 | + | 0.903436i | ||||
\(51\) | 0.629674 | + | 0.511224i | 0.0881719 | + | 0.0715856i | ||||
\(52\) | 5.05116 | + | 4.57382i | 0.700470 | + | 0.634275i | ||||
\(53\) | 0.288683 | − | 0.236916i | 0.0396536 | − | 0.0325429i | −0.614358 | − | 0.789028i | \(-0.710585\pi\) |
0.654011 | + | 0.756485i | \(0.273085\pi\) | |||||||
\(54\) | −5.64070 | − | 4.70983i | −0.767602 | − | 0.640927i | ||||
\(55\) | −2.19002 | + | 0.435622i | −0.295302 | + | 0.0587393i | ||||
\(56\) | 3.57230 | − | 7.10932i | 0.477369 | − | 0.950022i | ||||
\(57\) | −6.31638 | + | 1.29109i | −0.836625 | + | 0.171009i | ||||
\(58\) | −0.284030 | − | 1.02542i | −0.0372949 | − | 0.134644i | ||||
\(59\) | 10.9245 | + | 5.83929i | 1.42225 | + | 0.760210i | 0.989937 | − | 0.141512i | \(-0.0451962\pi\) |
0.432317 | + | 0.901722i | \(0.357696\pi\) | |||||||
\(60\) | −2.25851 | + | 0.822768i | −0.291573 | + | 0.106219i | ||||
\(61\) | −1.10530 | − | 11.2223i | −0.141520 | − | 1.43687i | −0.759412 | − | 0.650610i | \(-0.774513\pi\) |
0.617892 | − | 0.786263i | \(-0.287987\pi\) | |||||||
\(62\) | 6.75046 | − | 1.17294i | 0.857310 | − | 0.148963i | ||||
\(63\) | −5.90397 | + | 6.02991i | −0.743831 | + | 0.759697i | ||||
\(64\) | −6.86757 | − | 4.10323i | −0.858446 | − | 0.512903i | ||||
\(65\) | −2.36418 | −0.293240 | ||||||||
\(66\) | 4.25368 | + | 6.63613i | 0.523592 | + | 0.816851i | ||||
\(67\) | 0.129415 | − | 0.0127462i | 0.0158105 | − | 0.00155720i | −0.0901088 | − | 0.995932i | \(-0.528721\pi\) |
0.105919 | + | 0.994375i | \(0.466221\pi\) | |||||||
\(68\) | −0.629269 | − | 0.693641i | −0.0763101 | − | 0.0841164i | ||||
\(69\) | −0.0293485 | + | 0.315011i | −0.00353315 | + | 0.0379229i | ||||
\(70\) | 0.736861 | + | 2.66026i | 0.0880717 | + | 0.317962i | ||||
\(71\) | 3.90254 | + | 0.776264i | 0.463147 | + | 0.0921256i | 0.421148 | − | 0.906992i | \(-0.361627\pi\) |
0.0419989 | + | 0.999118i | \(0.486627\pi\) | |||||||
\(72\) | 5.61430 | + | 6.36237i | 0.661651 | + | 0.749812i | ||||
\(73\) | 3.01304 | + | 15.1476i | 0.352649 | + | 1.77289i | 0.596036 | + | 0.802958i | \(0.296742\pi\) |
−0.243387 | + | 0.969929i | \(0.578258\pi\) | |||||||
\(74\) | −3.15684 | + | 9.56338i | −0.366976 | + | 1.11172i | ||||
\(75\) | −3.65282 | + | 6.92155i | −0.421792 | + | 0.799231i | ||||
\(76\) | 7.43520 | − | 0.368741i | 0.852876 | − | 0.0422975i | ||||
\(77\) | 7.98329 | − | 4.26716i | 0.909780 | − | 0.486288i | ||||
\(78\) | 3.04644 | + | 7.76983i | 0.344941 | + | 0.879760i | ||||
\(79\) | 3.79966 | − | 9.17319i | 0.427495 | − | 1.03206i | −0.552584 | − | 0.833457i | \(-0.686358\pi\) |
0.980079 | − | 0.198608i | \(-0.0636419\pi\) | |||||||
\(80\) | 2.72173 | − | 0.544023i | 0.304299 | − | 0.0608236i | ||||
\(81\) | −3.61886 | − | 8.24038i | −0.402095 | − | 0.915598i | ||||
\(82\) | 6.09028 | + | 15.7775i | 0.672559 | + | 1.74233i | ||||
\(83\) | −0.127183 | + | 0.419266i | −0.0139602 | + | 0.0460205i | −0.963644 | − | 0.267191i | \(-0.913905\pi\) |
0.949684 | + | 0.313211i | \(0.101405\pi\) | |||||||
\(84\) | 7.79341 | − | 5.84965i | 0.850330 | − | 0.638249i | ||||
\(85\) | 0.323366 | + | 0.0318488i | 0.0350740 | + | 0.00345448i | ||||
\(86\) | 3.87191 | − | 4.49073i | 0.417518 | − | 0.484248i | ||||
\(87\) | 0.247488 | − | 1.27945i | 0.0265335 | − | 0.137171i | ||||
\(88\) | −3.69424 | − | 8.31838i | −0.393807 | − | 0.886742i | ||||
\(89\) | 2.85929 | + | 4.27923i | 0.303084 | + | 0.453598i | 0.951482 | − | 0.307704i | \(-0.0995607\pi\) |
−0.648398 | + | 0.761302i | \(0.724561\pi\) | |||||||
\(90\) | −2.92551 | − | 0.328835i | −0.308376 | − | 0.0346623i | ||||
\(91\) | 9.17155 | − | 2.78216i | 0.961440 | − | 0.291650i | ||||
\(92\) | 0.0886000 | − | 0.354412i | 0.00923719 | − | 0.0369500i | ||||
\(93\) | 8.04288 | + | 2.39351i | 0.834008 | + | 0.248196i | ||||
\(94\) | −16.9125 | − | 3.79369i | −1.74439 | − | 0.391290i | ||||
\(95\) | −1.82630 | + | 1.82630i | −0.187375 | + | 0.187375i | ||||
\(96\) | −5.29509 | − | 8.24391i | −0.540428 | − | 0.841390i | ||||
\(97\) | 9.81906 | + | 9.81906i | 0.996975 | + | 0.996975i | 0.999995 | − | 0.00302065i | \(-0.000961504\pi\) |
−0.00302065 | + | 0.999995i | \(0.500962\pi\) | |||||||
\(98\) | −0.691004 | − | 1.09065i | −0.0698020 | − | 0.110173i | ||||
\(99\) | 1.04758 | + | 9.59691i | 0.105286 | + | 0.964526i | ||||
\(100\) | 5.37997 | − | 7.26112i | 0.537997 | − | 0.726112i | ||||
\(101\) | 1.79880 | + | 5.92985i | 0.178987 | + | 0.590042i | 0.999822 | + | 0.0188759i | \(0.00600873\pi\) |
−0.820835 | + | 0.571166i | \(0.806491\pi\) | |||||||
\(102\) | −0.312013 | − | 1.10378i | −0.0308939 | − | 0.109290i | ||||
\(103\) | −0.536762 | + | 0.358653i | −0.0528887 | + | 0.0353391i | −0.581734 | − | 0.813379i | \(-0.697625\pi\) |
0.528845 | + | 0.848719i | \(0.322625\pi\) | |||||||
\(104\) | −2.11801 | − | 9.40118i | −0.207688 | − | 0.921861i | ||||
\(105\) | −0.642061 | + | 3.31929i | −0.0626587 | + | 0.323930i | ||||
\(106\) | −0.526702 | + | 0.0389752i | −0.0511578 | + | 0.00378561i | ||||
\(107\) | 0.363142 | − | 3.68704i | 0.0351062 | − | 0.356439i | −0.961544 | − | 0.274652i | \(-0.911437\pi\) |
0.996650 | − | 0.0817871i | \(-0.0260627\pi\) | |||||||
\(108\) | 2.68905 | + | 10.0384i | 0.258754 | + | 0.965943i | ||||
\(109\) | 0.458528 | + | 0.139093i | 0.0439190 | + | 0.0133227i | 0.312168 | − | 0.950027i | \(-0.398945\pi\) |
−0.268249 | + | 0.963350i | \(0.586445\pi\) | |||||||
\(110\) | 2.88722 | + | 1.27901i | 0.275286 | + | 0.121949i | ||||
\(111\) | −8.67555 | + | 8.76759i | −0.823447 | + | 0.832183i | ||||
\(112\) | −9.91843 | + | 5.31340i | −0.937203 | + | 0.502069i | ||||
\(113\) | −3.15558 | − | 1.30709i | −0.296852 | − | 0.122960i | 0.229286 | − | 0.973359i | \(-0.426361\pi\) |
−0.526139 | + | 0.850399i | \(0.676361\pi\) | |||||||
\(114\) | 8.35545 | + | 3.64877i | 0.782560 | + | 0.341739i | ||||
\(115\) | 0.0597475 | + | 0.111780i | 0.00557149 | + | 0.0104235i | ||||
\(116\) | −0.506280 | + | 1.41704i | −0.0470070 | + | 0.131569i | ||||
\(117\) | −0.894474 | + | 10.1822i | −0.0826942 | + | 0.941342i | ||||
\(118\) | −7.88000 | − | 15.6458i | −0.725413 | − | 1.44031i | ||||
\(119\) | −1.29194 | + | 0.256983i | −0.118432 | + | 0.0235576i | ||||
\(120\) | 3.28158 | + | 0.887061i | 0.299566 | + | 0.0809772i | ||||
\(121\) | −0.125765 | + | 0.632265i | −0.0114332 | + | 0.0574786i | ||||
\(122\) | −7.85730 | + | 13.8776i | −0.711366 | + | 1.25642i | ||||
\(123\) | −1.92145 | + | 20.6238i | −0.173251 | + | 1.85958i | ||||
\(124\) | −8.76126 | − | 4.13877i | −0.786784 | − | 0.371673i | ||||
\(125\) | 0.647385 | + | 6.57301i | 0.0579039 | + | 0.587908i | ||||
\(126\) | 11.7362 | − | 2.16706i | 1.04554 | − | 0.193057i | ||||
\(127\) | 12.9998i | 1.15355i | 0.816905 | + | 0.576773i | \(0.195688\pi\) | ||||
−0.816905 | + | 0.576773i | \(0.804312\pi\) | |||||||
\(128\) | 4.60164 | + | 10.3356i | 0.406732 | + | 0.913548i | ||||
\(129\) | 6.69451 | − | 2.81443i | 0.589419 | − | 0.247797i | ||||
\(130\) | 2.73400 | + | 1.92455i | 0.239788 | + | 0.168794i | ||||
\(131\) | −15.4730 | + | 1.52395i | −1.35188 | + | 0.133148i | −0.747879 | − | 0.663835i | \(-0.768928\pi\) |
−0.604001 | + | 0.796984i | \(0.706428\pi\) | |||||||
\(132\) | 0.483034 | − | 11.1369i | 0.0420427 | − | 0.969344i | ||||
\(133\) | 4.93574 | − | 9.23412i | 0.427983 | − | 0.800699i | ||||
\(134\) | −0.160035 | − | 0.0906094i | −0.0138249 | − | 0.00782746i | ||||
\(135\) | −3.02925 | − | 1.95544i | −0.260716 | − | 0.168298i | ||||
\(136\) | 0.163049 | + | 1.31440i | 0.0139813 | + | 0.112709i | ||||
\(137\) | 2.85653 | + | 14.3608i | 0.244050 | + | 1.22692i | 0.887274 | + | 0.461244i | \(0.152597\pi\) |
−0.643224 | + | 0.765678i | \(0.722403\pi\) | |||||||
\(138\) | 0.290373 | − | 0.340397i | 0.0247182 | − | 0.0289765i | ||||
\(139\) | −0.658150 | − | 0.801958i | −0.0558236 | − | 0.0680212i | 0.744350 | − | 0.667790i | \(-0.232759\pi\) |
−0.800174 | + | 0.599768i | \(0.795259\pi\) | |||||||
\(140\) | 1.31345 | − | 3.67624i | 0.111007 | − | 0.310699i | ||||
\(141\) | −16.4805 | − | 13.3803i | −1.38791 | − | 1.12682i | ||||
\(142\) | −3.88110 | − | 4.07455i | −0.325695 | − | 0.341928i | ||||
\(143\) | 4.19576 | − | 10.1295i | 0.350867 | − | 0.847067i | ||||
\(144\) | −1.31327 | − | 11.9279i | −0.109440 | − | 0.993993i | ||||
\(145\) | −0.199789 | − | 0.482332i | −0.0165915 | − | 0.0400555i | ||||
\(146\) | 8.84645 | − | 19.9698i | 0.732137 | − | 1.65271i | ||||
\(147\) | −0.163296 | − | 1.57285i | −0.0134684 | − | 0.129726i | ||||
\(148\) | 11.4357 | − | 8.48956i | 0.940009 | − | 0.697837i | ||||
\(149\) | −14.5860 | − | 1.43660i | −1.19493 | − | 0.117691i | −0.519079 | − | 0.854726i | \(-0.673725\pi\) |
−0.675854 | + | 0.737035i | \(0.736225\pi\) | |||||||
\(150\) | 9.85869 | − | 5.03071i | 0.804959 | − | 0.410756i | ||||
\(151\) | 4.72191 | − | 7.06683i | 0.384263 | − | 0.575090i | −0.588035 | − | 0.808836i | \(-0.700098\pi\) |
0.972298 | + | 0.233745i | \(0.0750982\pi\) | |||||||
\(152\) | −8.89845 | − | 5.62617i | −0.721760 | − | 0.456343i | ||||
\(153\) | 0.259512 | − | 1.38064i | 0.0209803 | − | 0.111618i | ||||
\(154\) | −12.7058 | − | 1.56410i | −1.02386 | − | 0.126039i | ||||
\(155\) | 3.21702 | − | 0.975873i | 0.258397 | − | 0.0783840i | ||||
\(156\) | 2.80202 | − | 11.4652i | 0.224341 | − | 0.917951i | ||||
\(157\) | 12.7831 | − | 15.5763i | 1.02021 | − | 1.24312i | 0.0505309 | − | 0.998723i | \(-0.483909\pi\) |
0.969674 | − | 0.244401i | \(-0.0785913\pi\) | |||||||
\(158\) | −11.8614 | + | 7.51505i | −0.943646 | + | 0.597865i | ||||
\(159\) | −0.598899 | − | 0.244378i | −0.0474958 | − | 0.0193804i | ||||
\(160\) | −3.59035 | − | 1.58649i | −0.283842 | − | 0.125423i | ||||
\(161\) | −0.363326 | − | 0.363326i | −0.0286341 | − | 0.0286341i | ||||
\(162\) | −2.52310 | + | 12.4753i | −0.198233 | + | 0.980155i | ||||
\(163\) | −3.00700 | + | 3.66405i | −0.235527 | + | 0.286990i | −0.877338 | − | 0.479872i | \(-0.840683\pi\) |
0.641812 | + | 0.766862i | \(0.278183\pi\) | |||||||
\(164\) | 5.80064 | − | 23.2033i | 0.452954 | − | 1.81188i | ||||
\(165\) | 2.46928 | + | 2.97666i | 0.192233 | + | 0.231733i | ||||
\(166\) | 0.488381 | − | 0.381319i | 0.0379057 | − | 0.0295961i | ||||
\(167\) | −5.83431 | + | 3.89836i | −0.451473 | + | 0.301664i | −0.760440 | − | 0.649408i | \(-0.775017\pi\) |
0.308967 | + | 0.951073i | \(0.400017\pi\) | |||||||
\(168\) | −13.7744 | + | 0.420510i | −1.06272 | + | 0.0324431i | ||||
\(169\) | −0.773071 | + | 1.15698i | −0.0594670 | + | 0.0889986i | ||||
\(170\) | −0.348024 | − | 0.300066i | −0.0266922 | − | 0.0230140i | ||||
\(171\) | 7.17465 | + | 8.55659i | 0.548659 | + | 0.654339i | ||||
\(172\) | −8.13325 | + | 2.04130i | −0.620154 | + | 0.155648i | ||||
\(173\) | −14.3786 | − | 4.36169i | −1.09318 | − | 0.331613i | −0.308320 | − | 0.951283i | \(-0.599767\pi\) |
−0.784863 | + | 0.619669i | \(0.787267\pi\) | |||||||
\(174\) | −1.32773 | + | 1.27813i | −0.100655 | + | 0.0968945i | ||||
\(175\) | −4.86413 | − | 11.7430i | −0.367693 | − | 0.887691i | ||||
\(176\) | −2.49942 | + | 12.6269i | −0.188401 | + | 0.951788i | ||||
\(177\) | −0.113203 | − | 21.4550i | −0.00850887 | − | 1.61265i | ||||
\(178\) | 0.176925 | − | 7.27622i | 0.0132611 | − | 0.545376i | ||||
\(179\) | −1.70221 | − | 3.18461i | −0.127229 | − | 0.238029i | 0.810239 | − | 0.586099i | \(-0.199337\pi\) |
−0.937468 | + | 0.348070i | \(0.886837\pi\) | |||||||
\(180\) | 3.11546 | + | 2.76178i | 0.232213 | + | 0.205851i | ||||
\(181\) | 7.65251 | + | 9.32461i | 0.568807 | + | 0.693093i | 0.975381 | − | 0.220525i | \(-0.0707770\pi\) |
−0.406575 | + | 0.913617i | \(0.633277\pi\) | |||||||
\(182\) | −12.8711 | − | 4.24870i | −0.954066 | − | 0.314934i | ||||
\(183\) | −16.1825 | + | 10.9368i | −1.19625 | + | 0.808470i | ||||
\(184\) | −0.390967 | + | 0.337728i | −0.0288225 | + | 0.0248976i | ||||
\(185\) | −0.964012 | + | 4.84642i | −0.0708756 | + | 0.356316i | ||||
\(186\) | −7.35259 | − | 9.31520i | −0.539118 | − | 0.683024i | ||||
\(187\) | −0.710343 | + | 1.32896i | −0.0519454 | + | 0.0971830i | ||||
\(188\) | 16.4699 | + | 18.1547i | 1.20119 | + | 1.32407i | ||||
\(189\) | 14.0528 | + | 4.02110i | 1.02219 | + | 0.292492i | ||||
\(190\) | 3.59868 | − | 0.625295i | 0.261076 | − | 0.0453636i | ||||
\(191\) | − | 22.1352i | − | 1.60165i | −0.598902 | − | 0.800823i | \(-0.704396\pi\) | ||
0.598902 | − | 0.800823i | \(-0.295604\pi\) | |||||||
\(192\) | −0.587519 | + | 13.8439i | −0.0424005 | + | 0.999101i | ||||
\(193\) | 1.28705i | 0.0926439i | 0.998927 | + | 0.0463220i | \(0.0147500\pi\) | ||||
−0.998927 | + | 0.0463220i | \(0.985250\pi\) | |||||||
\(194\) | −3.36188 | − | 19.3482i | −0.241369 | − | 1.38912i | ||||
\(195\) | 1.94934 | + | 3.60112i | 0.139595 | + | 0.257882i | ||||
\(196\) | −0.0887443 | + | 1.82377i | −0.00633888 | + | 0.130269i | ||||
\(197\) | −3.75472 | + | 7.02459i | −0.267513 | + | 0.500481i | −0.979431 | − | 0.201782i | \(-0.935327\pi\) |
0.711918 | + | 0.702263i | \(0.247827\pi\) | |||||||
\(198\) | 6.60088 | − | 11.9509i | 0.469104 | − | 0.849315i | ||||
\(199\) | −3.62165 | + | 18.2072i | −0.256732 | + | 1.29068i | 0.610199 | + | 0.792248i | \(0.291090\pi\) |
−0.866930 | + | 0.498429i | \(0.833910\pi\) | |||||||
\(200\) | −12.1324 | + | 4.01742i | −0.857893 | + | 0.284075i | ||||
\(201\) | −0.126122 | − | 0.186615i | −0.00889593 | − | 0.0131628i | ||||
\(202\) | 2.74699 | − | 8.32175i | 0.193277 | − | 0.585517i | ||||
\(203\) | 1.34266 | + | 1.63604i | 0.0942366 | + | 0.114828i | ||||
\(204\) | −0.537705 | + | 1.53043i | −0.0376469 | + | 0.107152i | ||||
\(205\) | 3.91167 | + | 7.31822i | 0.273203 | + | 0.511127i | ||||
\(206\) | 0.912687 | + | 0.0221925i | 0.0635899 | + | 0.00154622i | ||||
\(207\) | 0.504025 | − | 0.215033i | 0.0350321 | − | 0.0149458i | ||||
\(208\) | −5.20367 | + | 12.5960i | −0.360809 | + | 0.873372i | ||||
\(209\) | −4.58372 | − | 11.0661i | −0.317062 | − | 0.765456i | ||||
\(210\) | 3.44455 | − | 3.31586i | 0.237697 | − | 0.228816i | ||||
\(211\) | 18.7716 | + | 5.69431i | 1.29229 | + | 0.392012i | 0.860264 | − | 0.509848i | \(-0.170298\pi\) |
0.432027 | + | 0.901861i | \(0.357798\pi\) | |||||||
\(212\) | 0.640821 | + | 0.383687i | 0.0440118 | + | 0.0263518i | ||||
\(213\) | −2.03536 | − | 6.58442i | −0.139461 | − | 0.451157i | ||||
\(214\) | −3.42137 | + | 3.96818i | −0.233880 | + | 0.271259i | ||||
\(215\) | 1.61633 | − | 2.41901i | 0.110233 | − | 0.164975i | ||||
\(216\) | 5.06201 | − | 13.7977i | 0.344426 | − | 0.938813i | ||||
\(217\) | −11.3317 | + | 7.57157i | −0.769243 | + | 0.513992i | ||||
\(218\) | −0.417027 | − | 0.534114i | −0.0282447 | − | 0.0361748i | ||||
\(219\) | 20.5885 | − | 17.0791i | 1.39124 | − | 1.15410i | ||||
\(220\) | −2.29769 | − | 3.82942i | −0.154910 | − | 0.258179i | ||||
\(221\) | −1.01215 | + | 1.23331i | −0.0680847 | + | 0.0829615i | ||||
\(222\) | 17.1699 | − | 3.07679i | 1.15237 | − | 0.206501i | ||||
\(223\) | 1.81239 | + | 1.81239i | 0.121366 | + | 0.121366i | 0.765181 | − | 0.643815i | \(-0.222649\pi\) |
−0.643815 | + | 0.765181i | \(0.722649\pi\) | |||||||
\(224\) | 15.7953 | + | 1.92949i | 1.05537 | + | 0.128919i | ||||
\(225\) | 13.5548 | − | 0.143043i | 0.903653 | − | 0.00953618i | ||||
\(226\) | 2.58518 | + | 4.08034i | 0.171964 | + | 0.271420i | ||||
\(227\) | 16.1767 | − | 19.7113i | 1.07368 | − | 1.30829i | 0.124965 | − | 0.992161i | \(-0.460118\pi\) |
0.948717 | − | 0.316125i | \(-0.102382\pi\) | |||||||
\(228\) | −6.69222 | − | 11.0213i | −0.443203 | − | 0.729902i | ||||
\(229\) | −4.95663 | + | 1.50358i | −0.327543 | + | 0.0993591i | −0.449774 | − | 0.893143i | \(-0.648495\pi\) |
0.122230 | + | 0.992502i | \(0.460995\pi\) | |||||||
\(230\) | 0.0219001 | − | 0.177903i | 0.00144405 | − | 0.0117306i | ||||
\(231\) | −13.0822 | − | 8.64177i | −0.860747 | − | 0.568586i | ||||
\(232\) | 1.73901 | − | 1.22657i | 0.114172 | − | 0.0805283i | ||||
\(233\) | −13.8127 | + | 20.6722i | −0.904901 | + | 1.35428i | 0.0300663 | + | 0.999548i | \(0.490428\pi\) |
−0.934968 | + | 0.354733i | \(0.884572\pi\) | |||||||
\(234\) | 9.32315 | − | 11.0468i | 0.609473 | − | 0.722153i | ||||
\(235\) | −8.46347 | − | 0.833579i | −0.552096 | − | 0.0543767i | ||||
\(236\) | −3.62374 | + | 24.5079i | −0.235885 | + | 1.59533i | ||||
\(237\) | −17.1056 | + | 1.77593i | −1.11113 | + | 0.115359i | ||||
\(238\) | 1.70323 | + | 0.754517i | 0.110404 | + | 0.0489081i | ||||
\(239\) | −5.04359 | − | 12.1763i | −0.326243 | − | 0.787620i | −0.998865 | − | 0.0476339i | \(-0.984832\pi\) |
0.672622 | − | 0.739986i | \(-0.265168\pi\) | |||||||
\(240\) | −3.07281 | − | 3.69718i | −0.198349 | − | 0.238652i | ||||
\(241\) | −5.38419 | + | 12.9986i | −0.346826 | + | 0.837312i | 0.650165 | + | 0.759793i | \(0.274700\pi\) |
−0.996991 | + | 0.0775187i | \(0.975300\pi\) | |||||||
\(242\) | 0.660132 | − | 0.628791i | 0.0424349 | − | 0.0404202i | ||||
\(243\) | −9.56791 | + | 12.3067i | −0.613782 | + | 0.789476i | ||||
\(244\) | 20.3834 | − | 9.65227i | 1.30492 | − | 0.617923i | ||||
\(245\) | −0.401887 | − | 0.489701i | −0.0256756 | − | 0.0312859i | ||||
\(246\) | 19.0107 | − | 22.2858i | 1.21208 | − | 1.42089i | ||||
\(247\) | −2.47411 | − | 12.4382i | −0.157424 | − | 0.791425i | ||||
\(248\) | 6.76262 | + | 11.9183i | 0.429427 | + | 0.756811i | ||||
\(249\) | 0.743494 | − | 0.151973i | 0.0471170 | − | 0.00963088i | ||||
\(250\) | 4.60208 | − | 8.12823i | 0.291061 | − | 0.514074i | ||||
\(251\) | −9.66256 | + | 18.0774i | −0.609895 | + | 1.14103i | 0.367582 | + | 0.929991i | \(0.380186\pi\) |
−0.977477 | + | 0.211042i | \(0.932314\pi\) | |||||||
\(252\) | −15.3361 | − | 7.04772i | −0.966084 | − | 0.443965i | ||||
\(253\) | −0.584962 | + | 0.0576138i | −0.0367763 | + | 0.00362215i | ||||
\(254\) | 10.5824 | − | 15.0333i | 0.664001 | − | 0.943276i | ||||
\(255\) | −0.218113 | − | 0.518812i | −0.0136588 | − | 0.0324893i | ||||
\(256\) | 3.09219 | − | 15.6984i | 0.193262 | − | 0.981147i | ||||
\(257\) | 13.8807i | 0.865855i | 0.901429 | + | 0.432927i | \(0.142519\pi\) | ||||
−0.901429 | + | 0.432927i | \(0.857481\pi\) | |||||||
\(258\) | −10.0328 | − | 2.19495i | −0.624615 | − | 0.136652i | ||||
\(259\) | −1.96348 | − | 19.9356i | −0.122005 | − | 1.23874i | ||||
\(260\) | −1.59501 | − | 4.45121i | −0.0989182 | − | 0.276052i | ||||
\(261\) | −2.15292 | + | 0.677972i | −0.133263 | + | 0.0419654i | ||||
\(262\) | 19.1340 | + | 10.8334i | 1.18210 | + | 0.669288i | ||||
\(263\) | −2.94324 | + | 14.7967i | −0.181488 | + | 0.912402i | 0.777484 | + | 0.628902i | \(0.216495\pi\) |
−0.958972 | + | 0.283499i | \(0.908505\pi\) | |||||||
\(264\) | −9.62456 | + | 12.4858i | −0.592351 | + | 0.768450i | ||||
\(265\) | −0.254156 | + | 0.0505549i | −0.0156127 | + | 0.00310556i | ||||
\(266\) | −13.2248 | + | 6.66068i | −0.810866 | + | 0.408393i | ||||
\(267\) | 4.16056 | − | 7.88364i | 0.254622 | − | 0.482471i | ||||
\(268\) | 0.111309 | + | 0.235059i | 0.00679927 | + | 0.0143585i | ||||
\(269\) | 12.7267 | + | 23.8100i | 0.775960 | + | 1.45172i | 0.888892 | + | 0.458116i | \(0.151476\pi\) |
−0.112933 | + | 0.993603i | \(0.536024\pi\) | |||||||
\(270\) | 1.91129 | + | 4.72728i | 0.116318 | + | 0.287693i | ||||
\(271\) | 14.2150 | + | 5.88803i | 0.863498 | + | 0.357672i | 0.770074 | − | 0.637954i | \(-0.220219\pi\) |
0.0934232 | + | 0.995626i | \(0.470219\pi\) | |||||||
\(272\) | 0.881429 | − | 1.65274i | 0.0534445 | − | 0.100212i | ||||
\(273\) | −11.8000 | − | 11.6762i | −0.714170 | − | 0.706673i | ||||
\(274\) | 8.38694 | − | 18.9325i | 0.506674 | − | 1.14376i | ||||
\(275\) | −13.9143 | − | 4.22087i | −0.839067 | − | 0.254528i | ||||
\(276\) | −0.612895 | + | 0.157268i | −0.0368919 | + | 0.00946641i | ||||
\(277\) | 1.79044 | − | 18.1787i | 0.107577 | − | 1.09225i | −0.778161 | − | 0.628065i | \(-0.783847\pi\) |
0.885738 | − | 0.464185i | \(-0.153653\pi\) | |||||||
\(278\) | 0.108273 | + | 1.46317i | 0.00649377 | + | 0.0877553i | ||||
\(279\) | −2.98580 | − | 14.2245i | −0.178755 | − | 0.851596i | ||||
\(280\) | −4.51154 | + | 3.18211i | −0.269616 | + | 0.190167i | ||||
\(281\) | 13.8216 | − | 9.23530i | 0.824528 | − | 0.550932i | −0.0702056 | − | 0.997533i | \(-0.522366\pi\) |
0.894733 | + | 0.446601i | \(0.147366\pi\) | |||||||
\(282\) | 8.16633 | + | 28.8892i | 0.486298 | + | 1.72033i | ||||
\(283\) | 6.97667 | + | 22.9990i | 0.414720 | + | 1.36715i | 0.877032 | + | 0.480432i | \(0.159520\pi\) |
−0.462312 | + | 0.886717i | \(0.652980\pi\) | |||||||
\(284\) | 1.17135 | + | 7.87132i | 0.0695067 | + | 0.467077i | ||||
\(285\) | 4.28767 | + | 1.27599i | 0.253980 | + | 0.0755829i | ||||
\(286\) | −13.0979 | + | 8.29845i | −0.774497 | + | 0.490698i | ||||
\(287\) | −23.7869 | − | 23.7869i | −1.40410 | − | 1.40410i | ||||
\(288\) | −8.19117 | + | 14.8629i | −0.482669 | + | 0.875803i | ||||
\(289\) | −11.8658 | + | 11.8658i | −0.697986 | + | 0.697986i | ||||
\(290\) | −0.161599 | + | 0.720420i | −0.00948945 | + | 0.0423045i | ||||
\(291\) | 6.86030 | − | 23.0526i | 0.402158 | − | 1.35136i | ||||
\(292\) | −26.4867 | + | 15.8923i | −1.55001 | + | 0.930025i | ||||
\(293\) | −6.21886 | + | 1.88647i | −0.363310 | + | 0.110209i | −0.466661 | − | 0.884436i | \(-0.654543\pi\) |
0.103352 | + | 0.994645i | \(0.467043\pi\) | |||||||
\(294\) | −1.09153 | + | 1.95182i | −0.0636594 | + | 0.113832i | ||||
\(295\) | −4.77533 | − | 7.14679i | −0.278031 | − | 0.416102i | ||||
\(296\) | −20.1355 | + | 0.508380i | −1.17035 | + | 0.0295490i | ||||
\(297\) | 13.7543 | − | 9.50863i | 0.798105 | − | 0.551747i | ||||
\(298\) | 15.6982 | + | 13.5350i | 0.909375 | + | 0.784063i | ||||
\(299\) | −0.619347 | − | 0.0610003i | −0.0358177 | − | 0.00352774i | ||||
\(300\) | −15.4961 | − | 2.20777i | −0.894668 | − | 0.127465i | ||||
\(301\) | −3.42368 | + | 11.2863i | −0.197337 | + | 0.650534i | ||||
\(302\) | −11.2133 | + | 4.32844i | −0.645252 | + | 0.249074i | ||||
\(303\) | 7.54920 | − | 7.62928i | 0.433690 | − | 0.438291i | ||||
\(304\) | 5.71046 | + | 13.7500i | 0.327518 | + | 0.788618i | ||||
\(305\) | −2.99441 | + | 7.22914i | −0.171459 | + | 0.413940i | ||||
\(306\) | −1.42401 | + | 1.38536i | −0.0814054 | + | 0.0791957i | ||||
\(307\) | 5.81220 | − | 3.10669i | 0.331720 | − | 0.177308i | −0.297125 | − | 0.954839i | \(-0.596028\pi\) |
0.628845 | + | 0.777530i | \(0.283528\pi\) | |||||||
\(308\) | 13.4201 | + | 12.1519i | 0.764680 | + | 0.692416i | ||||
\(309\) | 0.988878 | + | 0.521877i | 0.0562553 | + | 0.0296885i | ||||
\(310\) | −4.51466 | − | 1.49028i | −0.256416 | − | 0.0846421i | ||||
\(311\) | 6.32859 | + | 31.8160i | 0.358862 | + | 1.80412i | 0.564435 | + | 0.825478i | \(0.309094\pi\) |
−0.205573 | + | 0.978642i | \(0.565906\pi\) | |||||||
\(312\) | −12.5735 | + | 10.9777i | −0.711836 | + | 0.621491i | ||||
\(313\) | −28.0679 | − | 5.58305i | −1.58649 | − | 0.315572i | −0.678511 | − | 0.734590i | \(-0.737375\pi\) |
−0.907978 | + | 0.419017i | \(0.862375\pi\) | |||||||
\(314\) | −27.4626 | + | 7.60682i | −1.54980 | + | 0.429278i | ||||
\(315\) | 5.58535 | − | 1.75887i | 0.314699 | − | 0.0991012i | ||||
\(316\) | 19.8345 | + | 0.965143i | 1.11578 | + | 0.0542936i | ||||
\(317\) | 34.0005 | − | 3.34876i | 1.90966 | − | 0.188085i | 0.927200 | − | 0.374565i | \(-0.122208\pi\) |
0.982459 | + | 0.186480i | \(0.0597081\pi\) | |||||||
\(318\) | 0.493649 | + | 0.770137i | 0.0276825 | + | 0.0431872i | ||||
\(319\) | 2.42115 | 0.135558 | ||||||||
\(320\) | 2.86051 | + | 4.75737i | 0.159907 | + | 0.265945i | ||||
\(321\) | −5.91553 | + | 2.48694i | −0.330173 | + | 0.138807i | ||||
\(322\) | 0.124397 | + | 0.715925i | 0.00693235 | + | 0.0398969i | ||||
\(323\) | 0.170843 | + | 1.73460i | 0.00950595 | + | 0.0965156i | ||||
\(324\) | 13.0733 | − | 12.3729i | 0.726294 | − | 0.687385i | ||||
\(325\) | −13.5773 | − | 7.25722i | −0.753134 | − | 0.402558i | ||||
\(326\) | 6.46009 | − | 1.78937i | 0.357791 | − | 0.0991039i | ||||
\(327\) | −0.166204 | − | 0.813118i | −0.00919110 | − | 0.0449655i | ||||
\(328\) | −25.5966 | + | 22.1110i | −1.41334 | + | 1.22088i | ||||
\(329\) | 33.8140 | − | 6.72603i | 1.86423 | − | 0.370818i | ||||
\(330\) | −0.432408 | − | 5.45241i | −0.0238033 | − | 0.300145i | ||||
\(331\) | −18.2521 | + | 14.9791i | −1.00323 | + | 0.823328i | −0.984302 | − | 0.176493i | \(-0.943525\pi\) |
−0.0189263 | + | 0.999821i | \(0.506025\pi\) | |||||||
\(332\) | −0.875189 | + | 0.0434041i | −0.0480322 | + | 0.00238211i | ||||
\(333\) | 20.5081 | + | 5.98548i | 1.12384 | + | 0.328002i | ||||
\(334\) | 9.92041 | + | 0.241220i | 0.542821 | + | 0.0131990i | ||||
\(335\) | −0.0833656 | − | 0.0345312i | −0.00455475 | − | 0.00188664i | ||||
\(336\) | 16.2714 | + | 10.7267i | 0.887680 | + | 0.585190i | ||||
\(337\) | 21.7560 | − | 9.01165i | 1.18513 | − | 0.490896i | 0.298962 | − | 0.954265i | \(-0.403360\pi\) |
0.886165 | + | 0.463369i | \(0.153360\pi\) | |||||||
\(338\) | 1.83584 | − | 0.708653i | 0.0998565 | − | 0.0385456i | ||||
\(339\) | 0.610921 | + | 5.88433i | 0.0331807 | + | 0.319593i | ||||
\(340\) | 0.158197 | + | 0.630312i | 0.00857944 | + | 0.0341835i | ||||
\(341\) | −1.52814 | + | 15.5154i | −0.0827532 | + | 0.840207i | ||||
\(342\) | −1.33151 | − | 15.7356i | −0.0719998 | − | 0.850883i | ||||
\(343\) | −14.2371 | − | 9.51293i | −0.768732 | − | 0.513650i | ||||
\(344\) | 11.0672 | + | 4.26022i | 0.596705 | + | 0.229696i | ||||
\(345\) | 0.121000 | − | 0.183174i | 0.00651440 | − | 0.00986173i | ||||
\(346\) | 13.0772 | + | 16.7488i | 0.703034 | + | 0.900422i | ||||
\(347\) | 2.65438 | + | 8.75031i | 0.142494 | + | 0.469741i | 0.998917 | − | 0.0465349i | \(-0.0148179\pi\) |
−0.856422 | + | 0.516276i | \(0.827318\pi\) | |||||||
\(348\) | 2.57588 | − | 0.397226i | 0.138082 | − | 0.0212936i | ||||
\(349\) | 0.268106 | + | 0.220029i | 0.0143514 | + | 0.0117779i | 0.641542 | − | 0.767088i | \(-0.278295\pi\) |
−0.627190 | + | 0.778866i | \(0.715795\pi\) | |||||||
\(350\) | −3.93436 | + | 17.5396i | −0.210300 | + | 0.937532i | ||||
\(351\) | 16.2470 | − | 7.03305i | 0.867202 | − | 0.375396i | ||||
\(352\) | 13.1693 | − | 12.5675i | 0.701925 | − | 0.669848i | ||||
\(353\) | 1.16121 | − | 1.16121i | 0.0618049 | − | 0.0618049i | −0.675529 | − | 0.737334i | \(-0.736085\pi\) |
0.737334 | + | 0.675529i | \(0.236085\pi\) | |||||||
\(354\) | −17.3344 | + | 24.9033i | −0.921314 | + | 1.32360i | ||||
\(355\) | −2.13428 | − | 1.75156i | −0.113276 | − | 0.0929629i | ||||
\(356\) | −6.12778 | + | 8.27041i | −0.324772 | + | 0.438331i | ||||
\(357\) | 1.45668 | + | 1.75600i | 0.0770958 | + | 0.0929372i | ||||
\(358\) | −0.623936 | + | 5.06846i | −0.0329760 | + | 0.267876i | ||||
\(359\) | −1.25062 | − | 1.87168i | −0.0660051 | − | 0.0987836i | 0.796999 | − | 0.603981i | \(-0.206420\pi\) |
−0.863004 | + | 0.505197i | \(0.831420\pi\) | |||||||
\(360\) | −1.35459 | − | 5.72993i | −0.0713933 | − | 0.301994i | ||||
\(361\) | 4.27830 | + | 2.85867i | 0.225174 | + | 0.150456i | ||||
\(362\) | −1.25892 | − | 17.0127i | −0.0661674 | − | 0.894170i | ||||
\(363\) | 1.06677 | − | 0.329756i | 0.0559907 | − | 0.0173077i | ||||
\(364\) | 11.4258 | + | 15.3910i | 0.598876 | + | 0.806705i | ||||
\(365\) | 3.11089 | − | 10.2552i | 0.162831 | − | 0.536783i | ||||
\(366\) | 27.6170 | + | 0.525738i | 1.44356 | + | 0.0274808i | ||||
\(367\) | 24.8950 | − | 10.3119i | 1.29951 | − | 0.538274i | 0.377703 | − | 0.925927i | \(-0.376714\pi\) |
0.921806 | + | 0.387652i | \(0.126714\pi\) | |||||||
\(368\) | 0.727052 | − | 0.0722925i | 0.0379002 | − | 0.00376851i | ||||
\(369\) | 32.9985 | − | 14.0782i | 1.71783 | − | 0.732881i | ||||
\(370\) | 5.06002 | − | 4.81979i | 0.263058 | − | 0.250569i | ||||
\(371\) | 0.926478 | − | 0.495213i | 0.0481003 | − | 0.0257102i | ||||
\(372\) | 0.919741 | + | 16.7577i | 0.0476864 | + | 0.868847i | ||||
\(373\) | 6.38205 | − | 5.23762i | 0.330450 | − | 0.271193i | −0.454507 | − | 0.890743i | \(-0.650185\pi\) |
0.784958 | + | 0.619550i | \(0.212685\pi\) | |||||||
\(374\) | 1.90329 | − | 0.958594i | 0.0984170 | − | 0.0495677i | ||||
\(375\) | 9.47825 | − | 6.40576i | 0.489455 | − | 0.330792i | ||||
\(376\) | −4.26748 | − | 34.4019i | −0.220078 | − | 1.77414i | ||||
\(377\) | 2.51421 | + | 0.500107i | 0.129488 | + | 0.0257568i | ||||
\(378\) | −12.9777 | − | 16.0897i | −0.667500 | − | 0.827567i | ||||
\(379\) | −16.6169 | − | 8.88193i | −0.853554 | − | 0.456234i | −0.0142513 | − | 0.999898i | \(-0.504536\pi\) |
−0.839303 | + | 0.543664i | \(0.817036\pi\) | |||||||
\(380\) | −4.67064 | − | 2.20639i | −0.239599 | − | 0.113185i | ||||
\(381\) | 19.8013 | − | 10.7187i | 1.01445 | − | 0.549138i | ||||
\(382\) | −18.0191 | + | 25.5978i | −0.921935 | + | 1.30970i | ||||
\(383\) | 27.9485 | 1.42810 | 0.714050 | − | 0.700095i | \(-0.246859\pi\) | ||||
0.714050 | + | 0.700095i | \(0.246859\pi\) | |||||||
\(384\) | 11.9490 | − | 15.5313i | 0.609772 | − | 0.792577i | ||||
\(385\) | −6.28122 | −0.320120 | ||||||||
\(386\) | 1.04772 | − | 1.48838i | 0.0533275 | − | 0.0757567i | ||||
\(387\) | −9.80678 | − | 7.87651i | −0.498507 | − | 0.400386i | ||||
\(388\) | −11.8626 | + | 25.1116i | −0.602231 | + | 1.27485i | ||||
\(389\) | −24.1493 | − | 12.9081i | −1.22442 | − | 0.654465i | −0.272895 | − | 0.962044i | \(-0.587981\pi\) |
−0.951522 | + | 0.307579i | \(0.900481\pi\) | |||||||
\(390\) | 0.677209 | − | 5.75129i | 0.0342918 | − | 0.291228i | ||||
\(391\) | 0.0838909 | + | 0.0166869i | 0.00424254 | + | 0.000843894i | ||||
\(392\) | 1.58726 | − | 2.03682i | 0.0801688 | − | 0.102875i | ||||
\(393\) | 15.0792 | + | 22.3119i | 0.760647 | + | 1.12549i | ||||
\(394\) | 10.0604 | − | 5.06692i | 0.506836 | − | 0.255268i | ||||
\(395\) | −5.32577 | + | 4.37075i | −0.267968 | + | 0.219916i | ||||
\(396\) | −17.3621 | + | 8.44698i | −0.872476 | + | 0.424477i | ||||
\(397\) | −29.0069 | + | 15.5045i | −1.45582 | + | 0.778150i | −0.994058 | − | 0.108856i | \(-0.965281\pi\) |
−0.461758 | + | 0.887006i | \(0.652781\pi\) | |||||||
\(398\) | 19.0097 | − | 18.1072i | 0.952871 | − | 0.907632i | ||||
\(399\) | −18.1351 | + | 0.0956866i | −0.907891 | + | 0.00479032i | ||||
\(400\) | 17.3007 | + | 5.23050i | 0.865034 | + | 0.261525i | ||||
\(401\) | 3.17454 | − | 1.31494i | 0.158529 | − | 0.0656649i | −0.302008 | − | 0.953305i | \(-0.597657\pi\) |
0.460537 | + | 0.887641i | \(0.347657\pi\) | |||||||
\(402\) | −0.00606275 | + | 0.318476i | −0.000302382 | + | 0.0158841i | ||||
\(403\) | −4.79170 | + | 15.7961i | −0.238692 | + | 0.786861i | ||||
\(404\) | −9.95099 | + | 7.38735i | −0.495080 | + | 0.367534i | ||||
\(405\) | −0.480826 | + | 6.22649i | −0.0238924 | + | 0.309397i | ||||
\(406\) | −0.220883 | − | 2.98496i | −0.0109622 | − | 0.148141i | ||||
\(407\) | −19.0539 | − | 12.7314i | −0.944467 | − | 0.631073i | ||||
\(408\) | 1.86766 | − | 1.33212i | 0.0924630 | − | 0.0659498i | ||||
\(409\) | 9.06845 | + | 13.5719i | 0.448406 | + | 0.671087i | 0.984961 | − | 0.172778i | \(-0.0552745\pi\) |
−0.536555 | + | 0.843866i | \(0.680274\pi\) | |||||||
\(410\) | 1.43380 | − | 11.6473i | 0.0708104 | − | 0.575218i | ||||
\(411\) | 19.5190 | − | 16.1920i | 0.962804 | − | 0.798691i | ||||
\(412\) | −1.03739 | − | 0.768634i | −0.0511087 | − | 0.0378679i | ||||
\(413\) | 26.9357 | + | 22.1056i | 1.32542 | + | 1.08774i | ||||
\(414\) | −0.757915 | − | 0.161629i | −0.0372495 | − | 0.00794364i | ||||
\(415\) | 0.214972 | − | 0.214972i | 0.0105526 | − | 0.0105526i | ||||
\(416\) | 16.2714 | − | 10.3303i | 0.797769 | − | 0.506485i | ||||
\(417\) | −0.678880 | + | 1.66374i | −0.0332449 | + | 0.0814735i | ||||
\(418\) | −3.70755 | + | 16.5285i | −0.181342 | + | 0.808435i | ||||
\(419\) | 1.73158 | + | 1.42107i | 0.0845930 | + | 0.0694237i | 0.675739 | − | 0.737141i | \(-0.263824\pi\) |
−0.591146 | + | 0.806564i | \(0.701324\pi\) | |||||||
\(420\) | −6.68265 | + | 1.03053i | −0.326080 | + | 0.0502846i | ||||
\(421\) | −2.94631 | − | 9.71269i | −0.143594 | − | 0.473368i | 0.855411 | − | 0.517949i | \(-0.173304\pi\) |
−0.999006 | + | 0.0445818i | \(0.985804\pi\) | |||||||
\(422\) | −17.0726 | − | 21.8660i | −0.831082 | − | 1.06442i | ||||
\(423\) | −6.79222 | + | 36.1356i | −0.330249 | + | 1.75697i | ||||
\(424\) | −0.428725 | − | 0.965365i | −0.0208207 | − | 0.0468823i | ||||
\(425\) | 1.75930 | + | 1.17553i | 0.0853388 | + | 0.0570216i | ||||
\(426\) | −3.00627 | + | 9.27129i | −0.145654 | + | 0.449196i | ||||
\(427\) | 3.10922 | − | 31.5684i | 0.150466 | − | 1.52770i | ||||
\(428\) | 7.18685 | − | 1.80377i | 0.347390 | − | 0.0871886i | ||||
\(429\) | −18.8887 | + | 1.96106i | −0.911957 | + | 0.0946809i | ||||
\(430\) | −3.83835 | + | 1.48164i | −0.185102 | + | 0.0714512i | ||||
\(431\) | 4.22455 | − | 1.74987i | 0.203490 | − | 0.0842882i | −0.278611 | − | 0.960404i | \(-0.589874\pi\) |
0.482101 | + | 0.876116i | \(0.339874\pi\) | |||||||
\(432\) | −17.0858 | + | 11.8353i | −0.822042 | + | 0.569428i | ||||
\(433\) | 8.41132 | + | 3.48408i | 0.404222 | + | 0.167434i | 0.575525 | − | 0.817784i | \(-0.304798\pi\) |
−0.171303 | + | 0.985218i | \(0.554798\pi\) | |||||||
\(434\) | 19.2679 | + | 0.468508i | 0.924887 | + | 0.0224891i | ||||
\(435\) | −0.569958 | + | 0.702017i | −0.0273274 | + | 0.0336591i | ||||
\(436\) | 0.0474686 | + | 0.957145i | 0.00227333 | + | 0.0458389i | ||||
\(437\) | −0.525561 | + | 0.431317i | −0.0251410 | + | 0.0206327i | ||||
\(438\) | −37.7123 | + | 2.99081i | −1.80196 | + | 0.142906i | ||||
\(439\) | −5.69326 | + | 1.13246i | −0.271724 | + | 0.0540493i | −0.329072 | − | 0.944305i | \(-0.606736\pi\) |
0.0573474 | + | 0.998354i | \(0.481736\pi\) | |||||||
\(440\) | −0.460207 | + | 6.29888i | −0.0219395 | + | 0.300287i | ||||
\(441\) | −2.26112 | + | 1.54559i | −0.107673 | + | 0.0735997i | ||||
\(442\) | 2.17445 | − | 0.602298i | 0.103428 | − | 0.0286484i | ||||
\(443\) | −15.7798 | − | 8.43449i | −0.749722 | − | 0.400735i | 0.0518331 | − | 0.998656i | \(-0.483494\pi\) |
−0.801555 | + | 0.597921i | \(0.795994\pi\) | |||||||
\(444\) | −22.3604 | − | 10.4190i | −1.06118 | − | 0.494463i | ||||
\(445\) | −0.350036 | − | 3.55398i | −0.0165933 | − | 0.168475i | ||||
\(446\) | −0.620530 | − | 3.57126i | −0.0293829 | − | 0.169104i | ||||
\(447\) | 9.83840 | + | 23.4020i | 0.465340 | + | 1.10688i | ||||
\(448\) | −16.6955 | − | 15.0894i | −0.788787 | − | 0.712909i | ||||
\(449\) | −34.9119 | −1.64760 | −0.823798 | − | 0.566883i | \(-0.808149\pi\) | ||||
−0.823798 | + | 0.566883i | \(0.808149\pi\) | |||||||
\(450\) | −15.7916 | − | 10.8688i | −0.744423 | − | 0.512360i | ||||
\(451\) | −38.2975 | + | 3.77197i | −1.80336 | + | 0.177615i | ||||
\(452\) | 0.332010 | − | 6.82308i | 0.0156164 | − | 0.320931i | ||||
\(453\) | −14.6576 | − | 1.36560i | −0.688673 | − | 0.0641614i | ||||
\(454\) | −34.7531 | + | 9.62619i | −1.63104 | + | 0.451780i | ||||
\(455\) | −6.52264 | − | 1.29743i | −0.305786 | − | 0.0608246i | ||||
\(456\) | −1.23275 | + | 18.1931i | −0.0577289 | + | 0.851970i | ||||
\(457\) | 4.32625 | + | 21.7495i | 0.202373 | + | 1.01740i | 0.939736 | + | 0.341902i | \(0.111071\pi\) |
−0.737362 | + | 0.675497i | \(0.763929\pi\) | |||||||
\(458\) | 6.95597 | + | 2.29614i | 0.325031 | + | 0.107292i | ||||
\(459\) | −2.31697 | + | 0.743092i | −0.108147 | + | 0.0346846i | ||||
\(460\) | −0.170147 | + | 0.187904i | −0.00793314 | + | 0.00876108i | ||||
\(461\) | 31.8594 | − | 17.0292i | 1.48384 | − | 0.793130i | 0.487066 | − | 0.873365i | \(-0.338067\pi\) |
0.996776 | + | 0.0802351i | \(0.0255671\pi\) | |||||||
\(462\) | 8.09386 | + | 20.6431i | 0.376560 | + | 0.960405i | ||||
\(463\) | 9.22509 | − | 22.2713i | 0.428726 | − | 1.03504i | −0.550965 | − | 0.834528i | \(-0.685740\pi\) |
0.979692 | − | 0.200509i | \(-0.0642596\pi\) | |||||||
\(464\) | −3.00953 | + | 0.00280462i | −0.139714 | + | 0.000130201i | ||||
\(465\) | −4.13899 | − | 4.09554i | −0.191941 | − | 0.189926i | ||||
\(466\) | 32.8016 | − | 12.6617i | 1.51950 | − | 0.586544i | ||||
\(467\) | 10.1967 | − | 33.6140i | 0.471847 | − | 1.55547i | −0.321626 | − | 0.946867i | \(-0.604230\pi\) |
0.793474 | − | 0.608605i | \(-0.208270\pi\) | |||||||
\(468\) | −19.7742 | + | 5.18538i | −0.914062 | + | 0.239694i | ||||
\(469\) | 0.364043 | + | 0.0358551i | 0.0168100 | + | 0.00165564i | ||||
\(470\) | 9.10883 | + | 7.85363i | 0.420159 | + | 0.362261i | ||||
\(471\) | −34.2660 | − | 6.62817i | −1.57889 | − | 0.305410i | ||||
\(472\) | 24.1412 | − | 25.3918i | 1.11119 | − | 1.16875i | ||||
\(473\) | 7.49584 | + | 11.2183i | 0.344659 | + | 0.515819i | ||||
\(474\) | 21.2271 | + | 11.8710i | 0.974992 | + | 0.545253i | ||||
\(475\) | −16.0945 | + | 4.88220i | −0.738464 | + | 0.224011i | ||||
\(476\) | −1.35546 | − | 2.25906i | −0.0621273 | − | 0.103544i | ||||
\(477\) | 0.121574 | + | 1.11374i | 0.00556647 | + | 0.0509947i | ||||
\(478\) | −4.07952 | + | 18.1868i | −0.186593 | + | 0.831843i | ||||
\(479\) | −22.9330 | + | 22.9330i | −1.04784 | + | 1.04784i | −0.0490407 | + | 0.998797i | \(0.515616\pi\) |
−0.998797 | + | 0.0490407i | \(0.984384\pi\) | |||||||
\(480\) | 0.543807 | + | 6.77694i | 0.0248213 | + | 0.309324i | ||||
\(481\) | −17.1565 | − | 17.1565i | −0.782269 | − | 0.782269i | ||||
\(482\) | 16.8079 | − | 10.6490i | 0.765577 | − | 0.485047i | ||||
\(483\) | −0.253846 | + | 0.852993i | −0.0115504 | + | 0.0388125i | ||||
\(484\) | −1.27526 | + | 0.189774i | −0.0579664 | + | 0.00862611i | ||||
\(485\) | −2.79705 | − | 9.22065i | −0.127008 | − | 0.418688i | ||||
\(486\) | 21.0828 | − | 6.44311i | 0.956337 | − | 0.292266i | ||||
\(487\) | 28.9244 | − | 19.3266i | 1.31069 | − | 0.875774i | 0.313418 | − | 0.949615i | \(-0.398526\pi\) |
0.997270 | + | 0.0738412i | \(0.0235258\pi\) | |||||||
\(488\) | −31.4294 | − | 5.43089i | −1.42274 | − | 0.245845i | ||||
\(489\) | 8.06046 | + | 1.55916i | 0.364506 | + | 0.0705076i | ||||
\(490\) | 0.0661148 | + | 0.893460i | 0.00298676 | + | 0.0403624i | ||||
\(491\) | 0.473563 | − | 4.80816i | 0.0213716 | − | 0.216989i | −0.978567 | − | 0.205928i | \(-0.933979\pi\) |
0.999939 | − | 0.0110617i | \(-0.00352112\pi\) | |||||||
\(492\) | −40.1262 | + | 10.2963i | −1.80903 | + | 0.464194i | ||||
\(493\) | −0.337150 | − | 0.102273i | −0.0151845 | − | 0.00460616i | ||||
\(494\) | −7.26415 | + | 16.3980i | −0.326829 | + | 0.737779i | ||||
\(495\) | 2.49806 | − | 6.21557i | 0.112279 | − | 0.279369i | ||||
\(496\) | 1.88153 | − | 19.2877i | 0.0844831 | − | 0.866044i | ||||
\(497\) | 10.3409 | + | 4.28335i | 0.463853 | + | 0.192134i | ||||
\(498\) | −0.983512 | − | 0.429493i | −0.0440722 | − | 0.0192461i | ||||
\(499\) | −9.18431 | − | 17.1826i | −0.411146 | − | 0.769201i | 0.588069 | − | 0.808811i | \(-0.299888\pi\) |
−0.999215 | + | 0.0396102i | \(0.987388\pi\) | |||||||
\(500\) | −11.9387 | + | 5.65341i | −0.533917 | + | 0.252828i | ||||
\(501\) | 10.7486 | + | 5.67252i | 0.480211 | + | 0.253429i | ||||
\(502\) | 25.8899 | − | 13.0394i | 1.15552 | − | 0.581978i | ||||
\(503\) | 37.6881 | − | 7.49663i | 1.68043 | − | 0.334258i | 0.739576 | − | 0.673073i | \(-0.235026\pi\) |
0.940853 | + | 0.338815i | \(0.110026\pi\) | |||||||
\(504\) | 11.9980 | + | 20.6345i | 0.534431 | + | 0.919134i | ||||
\(505\) | 0.838853 | − | 4.21720i | 0.0373285 | − | 0.187663i | ||||
\(506\) | 0.723368 | + | 0.409560i | 0.0321576 | + | 0.0182072i | ||||
\(507\) | 2.39974 | + | 0.223576i | 0.106576 | + | 0.00992935i | ||||
\(508\) | −24.4757 | + | 8.77040i | −1.08593 | + | 0.389124i | ||||
\(509\) | −0.320060 | − | 3.24962i | −0.0141864 | − | 0.144037i | 0.985482 | − | 0.169779i | \(-0.0543052\pi\) |
−0.999669 | + | 0.0257417i | \(0.991805\pi\) | |||||||
\(510\) | −0.170105 | + | 0.777524i | −0.00753237 | + | 0.0344294i | ||||
\(511\) | 43.4448i | 1.92189i | ||||||||
\(512\) | −16.3551 | + | 15.6368i | −0.722800 | + | 0.691058i | ||||
\(513\) | 7.11770 | − | 17.9836i | 0.314254 | − | 0.793996i | ||||
\(514\) | 11.2995 | − | 16.0521i | 0.498401 | − | 0.708026i | ||||
\(515\) | 0.445790 | − | 0.0439065i | 0.0196439 | − | 0.00193475i | ||||
\(516\) | 9.81543 | + | 10.7055i | 0.432100 | + | 0.471282i | ||||
\(517\) | 18.5918 | − | 34.7829i | 0.817668 | − | 1.52975i | ||||
\(518\) | −13.9578 | + | 24.6524i | −0.613272 | + | 1.08317i | ||||
\(519\) | 5.21184 | + | 25.4978i | 0.228774 | + | 1.11923i | ||||
\(520\) | −1.77898 | + | 6.44592i | −0.0780133 | + | 0.282672i | ||||
\(521\) | −6.57013 | − | 33.0303i | −0.287843 | − | 1.44708i | −0.806060 | − | 0.591834i | \(-0.798404\pi\) |
0.518217 | − | 0.855249i | \(-0.326596\pi\) | |||||||
\(522\) | 3.04160 | + | 0.968553i | 0.133127 | + | 0.0423924i | ||||
\(523\) | −12.8232 | − | 15.6251i | −0.560718 | − | 0.683237i | 0.413069 | − | 0.910700i | \(-0.364457\pi\) |
−0.973787 | + | 0.227463i | \(0.926957\pi\) | |||||||
\(524\) | −13.3082 | − | 28.1039i | −0.581372 | − | 1.22773i | ||||
\(525\) | −13.8764 | + | 17.0916i | −0.605616 | + | 0.745937i | ||||
\(526\) | 15.4488 | − | 14.7154i | 0.673601 | − | 0.641620i | ||||
\(527\) | 0.868193 | − | 2.09600i | 0.0378191 | − | 0.0913033i | ||||
\(528\) | 21.2942 | − | 6.60415i | 0.926710 | − | 0.287409i | ||||
\(529\) | −8.78895 | − | 21.2184i | −0.382128 | − | 0.922539i | ||||
\(530\) | 0.335068 | + | 0.148432i | 0.0145544 | + | 0.00644747i | ||||
\(531\) | −32.5869 | + | 17.8627i | −1.41415 | + | 0.775176i | ||||
\(532\) | 20.7157 | + | 3.06302i | 0.898139 | + | 0.132799i | ||||
\(533\) | −40.5486 | − | 3.99369i | −1.75635 | − | 0.172986i | ||||
\(534\) | −11.2290 | + | 5.72998i | −0.485928 | + | 0.247961i | ||||
\(535\) | −1.42825 | + | 2.13753i | −0.0617487 | + | 0.0924134i | ||||
\(536\) | 0.0626284 | − | 0.362440i | 0.00270513 | − | 0.0156550i | ||||
\(537\) | −3.44728 | + | 5.21862i | −0.148761 | + | 0.225200i | ||||
\(538\) | 4.66490 | − | 37.8946i | 0.201118 | − | 1.63375i | ||||
\(539\) | 2.81139 | − | 0.852826i | 0.121095 | − | 0.0367338i | ||||
\(540\) | 1.63795 | − | 7.02265i | 0.0704863 | − | 0.302207i | ||||
\(541\) | 2.04699 | − | 2.49426i | 0.0880068 | − | 0.107237i | −0.727145 | − | 0.686484i | \(-0.759153\pi\) |
0.815152 | + | 0.579247i | \(0.196653\pi\) | |||||||
\(542\) | −11.6455 | − | 18.3807i | −0.500216 | − | 0.789520i | ||||
\(543\) | 7.89354 | − | 19.3448i | 0.338744 | − | 0.830163i | ||||
\(544\) | −2.36472 | + | 1.19375i | −0.101386 | + | 0.0511818i | ||||
\(545\) | −0.235103 | − | 0.235103i | −0.0100707 | − | 0.0100707i | ||||
\(546\) | 4.14096 | + | 23.1084i | 0.177217 | + | 0.988949i | ||||
\(547\) | 0.582041 | − | 0.709219i | 0.0248863 | − | 0.0303240i | −0.760419 | − | 0.649433i | \(-0.775006\pi\) |
0.785305 | + | 0.619109i | \(0.212506\pi\) | |||||||
\(548\) | −25.1109 | + | 15.0668i | −1.07268 | + | 0.643621i | ||||
\(549\) | 30.0019 | + | 15.6316i | 1.28045 | + | 0.667140i | ||||
\(550\) | 12.6550 | + | 16.2081i | 0.539610 | + | 0.691114i | ||||
\(551\) | 2.32853 | − | 1.55587i | 0.0991986 | − | 0.0662824i | ||||
\(552\) | 0.836793 | + | 0.317056i | 0.0356163 | + | 0.0134948i | ||||
\(553\) | 15.5172 | − | 23.2232i | 0.659859 | − | 0.987549i | ||||
\(554\) | −16.8688 | + | 19.5648i | −0.716686 | + | 0.831230i | ||||
\(555\) | 8.17694 | − | 2.52764i | 0.347092 | − | 0.107292i | ||||
\(556\) | 1.06588 | − | 1.78019i | 0.0452034 | − | 0.0754971i | ||||
\(557\) | −11.3193 | − | 3.43367i | −0.479614 | − | 0.145489i | 0.0412150 | − | 0.999150i | \(-0.486877\pi\) |
−0.520829 | + | 0.853661i | \(0.674377\pi\) | |||||||
\(558\) | −8.12651 | + | 18.8802i | −0.344023 | + | 0.799261i | ||||
\(559\) | 5.46672 | + | 13.1978i | 0.231218 | + | 0.558209i | ||||
\(560\) | 7.80766 | − | 0.00727606i | 0.329934 | − | 0.000307470i | ||||
\(561\) | 2.60997 | − | 0.0137710i | 0.110193 | − | 0.000581414i | ||||
\(562\) | −23.5017 | − | 0.571455i | −0.991358 | − | 0.0241054i | ||||
\(563\) | 10.5799 | + | 19.7936i | 0.445889 | + | 0.834200i | 0.999998 | + | 0.00175631i | \(0.000559051\pi\) |
−0.554109 | + | 0.832444i | \(0.686941\pi\) | |||||||
\(564\) | 14.0734 | − | 40.0561i | 0.592596 | − | 1.68667i | ||||
\(565\) | 1.50354 | + | 1.83207i | 0.0632543 | + | 0.0770756i | ||||
\(566\) | 10.6542 | − | 32.2761i | 0.447831 | − | 1.35666i | ||||
\(567\) | −5.46201 | − | 24.7208i | −0.229383 | − | 1.03817i | ||||
\(568\) | 5.05304 | − | 10.0562i | 0.212021 | − | 0.421947i | ||||
\(569\) | 9.10146 | − | 45.7561i | 0.381553 | − | 1.91820i | −0.0143356 | − | 0.999897i | \(-0.504563\pi\) |
0.395889 | − | 0.918299i | \(-0.370437\pi\) | |||||||
\(570\) | −3.91968 | − | 4.96595i | −0.164177 | − | 0.208001i | ||||
\(571\) | 5.97481 | − | 11.1781i | 0.250038 | − | 0.467788i | −0.725321 | − | 0.688410i | \(-0.758309\pi\) |
0.975359 | + | 0.220622i | \(0.0708088\pi\) | |||||||
\(572\) | 21.9022 | + | 1.06575i | 0.915775 | + | 0.0445614i | ||||
\(573\) | −33.7164 | + | 18.2512i | −1.40852 | + | 0.762453i | ||||
\(574\) | 8.14424 | + | 46.8716i | 0.339934 | + | 1.95638i | ||||
\(575\) | 0.825349i | 0.0344194i | ||||||||
\(576\) | 21.5716 | − | 10.5199i | 0.898815 | − | 0.438327i | ||||
\(577\) | 3.97080i | 0.165306i | 0.996578 | + | 0.0826532i | \(0.0263394\pi\) | ||||
−0.996578 | + | 0.0826532i | \(0.973661\pi\) | |||||||
\(578\) | 23.3812 | − | 4.06263i | 0.972529 | − | 0.168983i | ||||
\(579\) | 1.96044 | − | 1.06121i | 0.0814731 | − | 0.0441025i | ||||
\(580\) | 0.773334 | − | 0.701566i | 0.0321109 | − | 0.0291309i | ||||
\(581\) | −0.580980 | + | 1.08694i | −0.0241031 | + | 0.0450938i | ||||
\(582\) | −26.6993 | + | 21.0740i | −1.10672 | + | 0.873547i | ||||
\(583\) | 0.234452 | − | 1.17867i | 0.00971000 | − | 0.0488155i | ||||
\(584\) | 43.5670 | + | 3.18308i | 1.80281 | + | 0.131717i | ||||
\(585\) | 3.87795 | − | 5.93848i | 0.160333 | − | 0.245526i | ||||
\(586\) | 8.72735 | + | 2.88087i | 0.360524 | + | 0.119008i | ||||
\(587\) | −17.0637 | − | 20.7922i | −0.704296 | − | 0.858187i | 0.290833 | − | 0.956774i | \(-0.406068\pi\) |
−0.995128 | + | 0.0985871i | \(0.968568\pi\) | |||||||
\(588\) | 2.85115 | − | 1.36858i | 0.117579 | − | 0.0564393i | ||||
\(589\) | 8.50080 | + | 15.9039i | 0.350269 | + | 0.655308i | ||||
\(590\) | −0.295485 | + | 12.1521i | −0.0121649 | + | 0.500294i | ||||
\(591\) | 13.7958 | − | 0.0727909i | 0.567482 | − | 0.00299422i | ||||
\(592\) | 23.6991 | + | 15.8033i | 0.974027 | + | 0.649512i | ||||
\(593\) | 5.21796 | + | 12.5973i | 0.214276 | + | 0.517308i | 0.994072 | − | 0.108726i | \(-0.0346771\pi\) |
−0.779796 | + | 0.626034i | \(0.784677\pi\) | |||||||
\(594\) | −23.6463 | − | 0.200571i | −0.970220 | − | 0.00822952i | ||||
\(595\) | 0.874672 | + | 0.265329i | 0.0358581 | + | 0.0108774i | ||||
\(596\) | −7.13577 | − | 28.4314i | −0.292293 | − | 1.16460i | ||||
\(597\) | 30.7195 | − | 9.49594i | 1.25727 | − | 0.388643i | ||||
\(598\) | 0.666573 | + | 0.574719i | 0.0272582 | + | 0.0235020i | ||||
\(599\) | −13.4823 | + | 20.1777i | −0.550873 | + | 0.824440i | −0.997528 | − | 0.0702665i | \(-0.977615\pi\) |
0.446655 | + | 0.894706i | \(0.352615\pi\) | |||||||
\(600\) | 16.1229 | + | 15.1677i | 0.658216 | + | 0.619218i | ||||
\(601\) | −32.1057 | + | 21.4524i | −1.30962 | + | 0.875060i | −0.997192 | − | 0.0748814i | \(-0.976142\pi\) |
−0.312428 | + | 0.949942i | \(0.601142\pi\) | |||||||
\(602\) | 13.1468 | − | 10.2648i | 0.535826 | − | 0.418363i | ||||
\(603\) | −0.180262 | + | 0.345979i | −0.00734082 | + | 0.0140893i | ||||
\(604\) | 16.4909 | + | 4.12259i | 0.671006 | + | 0.167746i | ||||
\(605\) | 0.283776 | − | 0.345782i | 0.0115371 | − | 0.0140580i | ||||
\(606\) | −14.9407 | + | 2.67733i | −0.606924 | + | 0.108759i | ||||
\(607\) | 7.13010 | + | 7.13010i | 0.289402 | + | 0.289402i | 0.836844 | − | 0.547442i | \(-0.184398\pi\) |
−0.547442 | + | 0.836844i | \(0.684398\pi\) | |||||||
\(608\) | 4.58941 | − | 20.5495i | 0.186125 | − | 0.833393i | ||||
\(609\) | 1.38495 | − | 3.39412i | 0.0561212 | − | 0.137537i | ||||
\(610\) | 9.34768 | − | 5.92240i | 0.378476 | − | 0.239791i | ||||
\(611\) | 26.4911 | − | 32.2795i | 1.07172 | − | 1.30589i | ||||
\(612\) | 2.77452 | − | 0.442857i | 0.112153 | − | 0.0179014i | ||||
\(613\) | −11.5401 | + | 3.50066i | −0.466102 | + | 0.141390i | −0.514596 | − | 0.857433i | \(-0.672058\pi\) |
0.0484936 | + | 0.998823i | \(0.484558\pi\) | |||||||
\(614\) | −9.25039 | − | 1.13874i | −0.373315 | − | 0.0459558i | ||||
\(615\) | 7.92184 | − | 11.9924i | 0.319440 | − | 0.483579i | ||||
\(616\) | −5.62719 | − | 24.9773i | −0.226726 | − | 1.00637i | ||||
\(617\) | −10.4582 | + | 15.6518i | −0.421030 | + | 0.630116i | −0.979982 | − | 0.199084i | \(-0.936203\pi\) |
0.558952 | + | 0.829200i | \(0.311203\pi\) | |||||||
\(618\) | −0.718736 | − | 1.40851i | −0.0289118 | − | 0.0566584i | ||||
\(619\) | −29.6595 | − | 2.92120i | −1.19212 | − | 0.117413i | −0.517566 | − | 0.855643i | \(-0.673162\pi\) |
−0.674549 | + | 0.738230i | \(0.735662\pi\) | |||||||
\(620\) | 4.00773 | + | 5.39855i | 0.160955 | + | 0.216811i | ||||
\(621\) | −0.743122 | − | 0.590431i | −0.0298205 | − | 0.0236932i | ||||
\(622\) | 18.5811 | − | 41.9447i | 0.745035 | − | 1.68183i | ||||
\(623\) | 5.54024 | + | 13.3753i | 0.221965 | + | 0.535871i | ||||
\(624\) | 23.4768 | − | 2.45951i | 0.939823 | − | 0.0984594i | ||||
\(625\) | −6.89195 | + | 16.6386i | −0.275678 | + | 0.665546i | ||||
\(626\) | 27.9136 | + | 29.3049i | 1.11565 | + | 1.17126i | ||||
\(627\) | −13.0765 | + | 16.1063i | −0.522224 | + | 0.643222i | ||||
\(628\) | 37.9509 | + | 13.5591i | 1.51440 | + | 0.541067i | ||||
\(629\) | 2.11550 | + | 2.57774i | 0.0843504 | + | 0.102781i | ||||
\(630\) | −7.89087 | − | 2.51273i | −0.314380 | − | 0.100109i | ||||
\(631\) | 8.64874 | + | 43.4802i | 0.344301 | + | 1.73092i | 0.633583 | + | 0.773674i | \(0.281583\pi\) |
−0.289282 | + | 0.957244i | \(0.593417\pi\) | |||||||
\(632\) | −22.1515 | − | 17.2623i | −0.881141 | − | 0.686659i | ||||
\(633\) | −6.80420 | − | 33.2881i | −0.270443 | − | 1.32308i | ||||
\(634\) | −42.0452 | − | 23.8054i | −1.66983 | − | 0.945433i | ||||
\(635\) | 4.25221 | − | 7.95533i | 0.168744 | − | 0.315697i | ||||
\(636\) | 0.0560571 | − | 1.29246i | 0.00222281 | − | 0.0512495i | ||||
\(637\) | 3.09561 | − | 0.304891i | 0.122652 | − | 0.0120802i | ||||
\(638\) | −2.79989 | − | 1.97093i | −0.110849 | − | 0.0780298i | ||||
\(639\) | −8.35119 | + | 8.52933i | −0.330368 | + | 0.337415i | ||||
\(640\) | 0.564749 | − | 7.83015i | 0.0223237 | − | 0.309514i | ||||
\(641\) | − | 8.84714i | − | 0.349441i | −0.984618 | − | 0.174721i | \(-0.944098\pi\) | ||
0.984618 | − | 0.174721i | \(-0.0559022\pi\) | |||||||
\(642\) | 8.86537 | + | 1.93954i | 0.349888 | + | 0.0765477i | ||||
\(643\) | −0.145018 | − | 1.47240i | −0.00571897 | − | 0.0580657i | 0.991902 | − | 0.127008i | \(-0.0405375\pi\) |
−0.997621 | + | 0.0689426i | \(0.978037\pi\) | |||||||
\(644\) | 0.438940 | − | 0.929181i | 0.0172967 | − | 0.0366149i | ||||
\(645\) | −5.01735 | − | 0.467450i | −0.197558 | − | 0.0184058i | ||||
\(646\) | 1.21447 | − | 2.14501i | 0.0477829 | − | 0.0843944i | ||||
\(647\) | −5.44959 | + | 27.3970i | −0.214246 | + | 1.07709i | 0.712579 | + | 0.701592i | \(0.247527\pi\) |
−0.926825 | + | 0.375494i | \(0.877473\pi\) | |||||||
\(648\) | −25.1905 | + | 3.66615i | −0.989575 | + | 0.144020i | ||||
\(649\) | 39.0957 | − | 7.77663i | 1.53464 | − | 0.305259i | ||||
\(650\) | 9.79348 | + | 19.4450i | 0.384132 | + | 0.762697i | ||||
\(651\) | 20.8764 | + | 11.0174i | 0.818209 | + | 0.431807i | ||||
\(652\) | −8.92727 | − | 3.18954i | −0.349619 | − | 0.124912i | ||||
\(653\) | 11.9391 | + | 22.3365i | 0.467214 | + | 0.874096i | 0.999619 | + | 0.0276061i | \(0.00878841\pi\) |
−0.532405 | + | 0.846490i | \(0.678712\pi\) | |||||||
\(654\) | −0.469713 | + | 1.07561i | −0.0183672 | + | 0.0420597i | ||||
\(655\) | 9.96729 | + | 4.12858i | 0.389454 | + | 0.161317i | ||||
\(656\) | 47.6001 | − | 4.73299i | 1.85847 | − | 0.184792i | ||||
\(657\) | −42.9908 | − | 17.2782i | −1.67723 | − | 0.674085i | ||||
\(658\) | −44.5788 | − | 19.7480i | −1.73786 | − | 0.769857i | ||||
\(659\) | 18.0088 | + | 5.46292i | 0.701525 | + | 0.212805i | 0.620843 | − | 0.783935i | \(-0.286790\pi\) |
0.0806817 | + | 0.996740i | \(0.474290\pi\) | |||||||
\(660\) | −3.93846 | + | 6.65732i | −0.153304 | + | 0.259136i | ||||
\(661\) | −4.80780 | + | 48.8144i | −0.187002 | + | 1.89866i | 0.205105 | + | 0.978740i | \(0.434246\pi\) |
−0.392106 | + | 0.919920i | \(0.628254\pi\) | |||||||
\(662\) | 33.3010 | − | 2.46423i | 1.29428 | − | 0.0957751i | ||||
\(663\) | 2.71313 | + | 0.524810i | 0.105369 | + | 0.0203819i | ||||
\(664\) | 1.04743 | + | 0.662251i | 0.0406481 | + | 0.0257003i | ||||
\(665\) | −6.04093 | + | 4.03642i | −0.234257 | + | 0.156526i | ||||
\(666\) | −18.8437 | − | 23.6163i | −0.730178 | − | 0.915114i | ||||
\(667\) | −0.0398938 | − | 0.131512i | −0.00154469 | − | 0.00509217i | ||||
\(668\) | −11.2759 | − | 8.35463i | −0.436277 | − | 0.323250i | ||||
\(669\) | 1.26626 | − | 4.25500i | 0.0489565 | − | 0.164508i | ||||
\(670\) | 0.0682964 | + | 0.107796i | 0.00263852 | + | 0.00416453i | ||||
\(671\) | −25.6594 | − | 25.6594i | −0.990572 | − | 0.990572i | ||||
\(672\) | −10.0847 | − | 25.6504i | −0.389027 | − | 0.989486i | ||||
\(673\) | 0.0374884 | − | 0.0374884i | 0.00144507 | − | 0.00144507i | −0.706384 | − | 0.707829i | \(-0.749675\pi\) |
0.707829 | + | 0.706384i | \(0.249675\pi\) | |||||||
\(674\) | −32.4952 | − | 7.28910i | −1.25167 | − | 0.280765i | ||||
\(675\) | −11.3942 | − | 20.5288i | −0.438564 | − | 0.790152i | ||||
\(676\) | −2.69989 | − | 0.674951i | −0.103842 | − | 0.0259597i | ||||
\(677\) | 18.5910 | − | 5.63951i | 0.714509 | − | 0.216744i | 0.0879577 | − | 0.996124i | \(-0.471966\pi\) |
0.626551 | + | 0.779380i | \(0.284466\pi\) | |||||||
\(678\) | 4.08363 | − | 7.30213i | 0.156831 | − | 0.280436i | ||||
\(679\) | 21.7017 | + | 32.4789i | 0.832835 | + | 1.24643i | ||||
\(680\) | 0.330160 | − | 0.857691i | 0.0126610 | − | 0.0328910i | ||||
\(681\) | −43.3625 | − | 8.38774i | −1.66166 | − | 0.321419i | ||||
\(682\) | 14.3975 | − | 16.6985i | 0.551307 | − | 0.639419i | ||||
\(683\) | 2.71007 | + | 0.266919i | 0.103698 | + | 0.0102134i | 0.149733 | − | 0.988726i | \(-0.452159\pi\) |
−0.0460350 | + | 0.998940i | \(0.514659\pi\) | |||||||
\(684\) | −11.2697 | + | 19.2810i | −0.430908 | + | 0.737227i | ||||
\(685\) | 2.94930 | − | 9.72254i | 0.112687 | − | 0.371479i | ||||
\(686\) | 8.72024 | + | 22.5907i | 0.332940 | + | 0.862517i | ||||
\(687\) | 6.37714 | + | 6.31020i | 0.243303 | + | 0.240749i | ||||
\(688\) | −9.33046 | − | 13.9359i | −0.355720 | − | 0.531301i | ||||
\(689\) | 0.486926 | − | 1.17554i | 0.0185504 | − | 0.0447847i | ||||
\(690\) | −0.289039 | + | 0.113328i | −0.0110035 | + | 0.00431432i | ||||
\(691\) | −30.1433 | + | 16.1119i | −1.14670 | + | 0.612926i | −0.931535 | − | 0.363651i | \(-0.881530\pi\) |
−0.215169 | + | 0.976577i | \(0.569030\pi\) | |||||||
\(692\) | −1.48852 | − | 30.0142i | −0.0565852 | − | 1.14097i | ||||
\(693\) | −2.37647 | + | 27.0523i | −0.0902745 | + | 1.02763i | ||||
\(694\) | 4.05356 | − | 12.2799i | 0.153871 | − | 0.466139i | ||||
\(695\) | 0.140441 | + | 0.706044i | 0.00532723 | + | 0.0267818i | ||||
\(696\) | −3.30219 | − | 1.63753i | −0.125169 | − | 0.0620702i | ||||
\(697\) | 5.49233 | + | 1.09249i | 0.208037 | + | 0.0413811i | ||||
\(698\) | −0.130932 | − | 0.472699i | −0.00495585 | − | 0.0178919i | ||||
\(699\) | 42.8770 | + | 3.99471i | 1.62176 | + | 0.151094i | ||||
\(700\) | 18.8279 | − | 17.0806i | 0.711627 | − | 0.645585i | ||||
\(701\) | −29.1979 | + | 2.87575i | −1.10279 | + | 0.108615i | −0.632992 | − | 0.774158i | \(-0.718174\pi\) |
−0.469799 | + | 0.882773i | \(0.655674\pi\) | |||||||
\(702\) | −24.5138 | − | 5.09261i | −0.925213 | − | 0.192208i | ||||
\(703\) | −26.5064 | −0.999709 | ||||||||
\(704\) | −25.4598 | + | 3.81299i | −0.959554 | + | 0.143707i | ||||
\(705\) | 5.70869 | + | 13.5789i | 0.215002 | + | 0.511411i | ||||
\(706\) | −2.28813 | + | 0.397578i | −0.0861151 | + | 0.0149631i | ||||
\(707\) | 1.70856 | + | 17.3473i | 0.0642570 | + | 0.652412i | ||||
\(708\) | 40.3185 | − | 14.6879i | 1.51526 | − | 0.552004i | ||||
\(709\) | −15.3798 | − | 8.22066i | −0.577599 | − | 0.308733i | 0.156605 | − | 0.987661i | \(-0.449945\pi\) |
−0.734205 | + | 0.678928i | \(0.762445\pi\) | |||||||
\(710\) | 1.04229 | + | 3.76295i | 0.0391166 | + | 0.141221i | ||||
\(711\) | 16.8092 | + | 24.5910i | 0.630394 | + | 0.922233i | ||||
\(712\) | 13.8188 | − | 4.57585i | 0.517883 | − | 0.171487i | ||||
\(713\) | 0.867947 | − | 0.172645i | 0.0325049 | − | 0.00646562i | ||||
\(714\) | −0.255087 | − | 3.21649i | −0.00954640 | − | 0.120374i | ||||
\(715\) | −5.88095 | + | 4.82637i | −0.219935 | + | 0.180496i | ||||
\(716\) | 4.84749 | − | 5.35340i | 0.181159 | − | 0.200066i | ||||
\(717\) | −14.3884 | + | 17.7222i | −0.537345 | + | 0.661847i | ||||
\(718\) | −0.0773848 | + | 3.18253i | −0.00288797 | + | 0.118771i | ||||
\(719\) | −20.1166 | − | 8.33256i | −0.750222 | − | 0.310752i | −0.0253898 | − | 0.999678i | \(-0.508083\pi\) |
−0.724832 | + | 0.688926i | \(0.758083\pi\) | |||||||
\(720\) | −3.09793 | + | 7.72896i | −0.115453 | + | 0.288041i | ||||
\(721\) | −1.67772 | + | 0.694936i | −0.0624817 | + | 0.0258808i | ||||
\(722\) | −2.62046 | − | 6.78859i | −0.0975236 | − | 0.252645i | ||||
\(723\) | 24.2389 | − | 2.51652i | 0.901454 | − | 0.0935905i | ||||
\(724\) | −12.3933 | + | 20.6989i | −0.460594 | + | 0.769267i | ||||
\(725\) | 0.333224 | − | 3.38329i | 0.0123756 | − | 0.125652i | ||||
\(726\) | −1.50208 | − | 0.487057i | −0.0557473 | − | 0.0180764i | ||||
\(727\) | 12.5553 | + | 8.38917i | 0.465649 | + | 0.311137i | 0.766170 | − | 0.642639i | \(-0.222160\pi\) |
−0.300520 | + | 0.953775i | \(0.597160\pi\) | |||||||
\(728\) | −0.684213 | − | 27.0997i | −0.0253586 | − | 1.00438i | ||||
\(729\) | 26.6347 | + | 4.42661i | 0.986469 | + | 0.163948i | ||||
\(730\) | −11.9457 | + | 9.32703i | −0.442132 | + | 0.345209i | ||||
\(731\) | −0.569931 | − | 1.87881i | −0.0210796 | − | 0.0694903i | ||||
\(732\) | −31.5091 | − | 23.0895i | −1.16461 | − | 0.853413i | ||||
\(733\) | −15.0131 | − | 12.3210i | −0.554523 | − | 0.455085i | 0.314921 | − | 0.949118i | \(-0.398022\pi\) |
−0.869443 | + | 0.494033i | \(0.835522\pi\) | |||||||
\(734\) | −37.1836 | − | 8.34077i | −1.37247 | − | 0.307863i | ||||
\(735\) | −0.414546 | + | 1.01593i | −0.0152907 | + | 0.0374731i | ||||
\(736\) | −0.899634 | − | 0.508253i | −0.0331609 | − | 0.0187344i | ||||
\(737\) | 0.295901 | − | 0.295901i | 0.0108997 | − | 0.0108997i | ||||
\(738\) | −49.6207 | − | 10.5819i | −1.82656 | − | 0.389524i | ||||
\(739\) | −34.2182 | − | 28.0821i | −1.25874 | − | 1.03302i | −0.997707 | − | 0.0676866i | \(-0.978438\pi\) |
−0.261029 | − | 0.965331i | \(-0.584062\pi\) | |||||||
\(740\) | −9.77509 | + | 1.45465i | −0.359339 | + | 0.0534741i | ||||
\(741\) | −16.9059 | + | 14.0243i | −0.621055 | + | 0.515195i | ||||
\(742\) | −1.47453 | − | 0.181517i | −0.0541318 | − | 0.00666371i | ||||
\(743\) | 17.5814 | + | 26.3125i | 0.645001 | + | 0.965311i | 0.999542 | + | 0.0302711i | \(0.00963706\pi\) |
−0.354541 | + | 0.935040i | \(0.615363\pi\) | |||||||
\(744\) | 12.5779 | − | 20.1278i | 0.461130 | − | 0.737922i | ||||
\(745\) | 8.45612 | + | 5.65020i | 0.309808 | + | 0.207007i | ||||
\(746\) | −11.6441 | + | 0.861645i | −0.426319 | + | 0.0315471i | ||||
\(747\) | −0.844520 | − | 1.00719i | −0.0308994 | − | 0.0368510i | ||||
\(748\) | −2.98136 | − | 0.440824i | −0.109009 | − | 0.0161181i | ||||
\(749\) | 3.02529 | − | 9.97306i | 0.110542 | − | 0.364408i | ||||
\(750\) | −16.1755 | − | 0.307929i | −0.590646 | − | 0.0112440i | ||||
\(751\) | 26.8243 | − | 11.1110i | 0.978834 | − | 0.405446i | 0.164841 | − | 0.986320i | \(-0.447289\pi\) |
0.813994 | + | 0.580874i | \(0.197289\pi\) | |||||||
\(752\) | −23.0697 | + | 43.2573i | −0.841265 | + | 1.57743i | ||||
\(753\) | 35.5026 | − | 0.187323i | 1.29379 | − | 0.00682643i | ||||
\(754\) | −2.50039 | − | 2.62502i | −0.0910590 | − | 0.0955976i | ||||
\(755\) | −5.20115 | + | 2.78008i | −0.189289 | + | 0.101177i | ||||
\(756\) | 1.90999 | + | 29.1711i | 0.0694657 | + | 1.06094i | ||||
\(757\) | −25.8991 | + | 21.2549i | −0.941319 | + | 0.772521i | −0.973907 | − | 0.226948i | \(-0.927125\pi\) |
0.0325874 | + | 0.999469i | \(0.489625\pi\) | |||||||
\(758\) | 11.9860 | + | 23.7983i | 0.435351 | + | 0.864392i | ||||
\(759\) | 0.570077 | + | 0.843512i | 0.0206925 | + | 0.0306175i | ||||
\(760\) | 3.60517 | + | 6.35365i | 0.130773 | + | 0.230471i | ||||
\(761\) | −23.5603 | − | 4.68643i | −0.854060 | − | 0.169883i | −0.251402 | − | 0.967883i | \(-0.580892\pi\) |
−0.602658 | + | 0.798000i | \(0.705892\pi\) | |||||||
\(762\) | −31.6244 | − | 3.72374i | −1.14563 | − | 0.134897i | ||||
\(763\) | 1.18872 | + | 0.635386i | 0.0430347 | + | 0.0230025i | ||||
\(764\) | 41.6755 | − | 14.9337i | 1.50777 | − | 0.540281i | ||||
\(765\) | −0.610416 | + | 0.760008i | −0.0220696 | + | 0.0274781i | ||||
\(766\) | −32.3204 | − | 22.7513i | −1.16778 | − | 0.822040i | ||||
\(767\) | 42.2048 | 1.52393 | ||||||||
\(768\) | −26.4614 | + | 8.23375i | −0.954843 | + | 0.297110i | ||||
\(769\) | −0.547116 | −0.0197295 | −0.00986476 | − | 0.999951i | \(-0.503140\pi\) | ||||
−0.00986476 | + | 0.999951i | \(0.503140\pi\) | |||||||
\(770\) | 7.26378 | + | 5.11320i | 0.261768 | + | 0.184267i | ||||
\(771\) | 21.1431 | − | 11.4451i | 0.761451 | − | 0.412184i | ||||
\(772\) | −2.42323 | + | 0.868318i | −0.0872138 | + | 0.0312514i | ||||
\(773\) | −15.3442 | − | 8.20164i | −0.551892 | − | 0.294993i | 0.171781 | − | 0.985135i | \(-0.445048\pi\) |
−0.723673 | + | 0.690143i | \(0.757548\pi\) | |||||||
\(774\) | 4.92900 | + | 17.0918i | 0.177169 | + | 0.614352i | ||||
\(775\) | 21.4707 | + | 4.27080i | 0.771252 | + | 0.153412i | ||||
\(776\) | 34.1602 | − | 19.3831i | 1.22628 | − | 0.695812i | ||||
\(777\) | −28.7470 | + | 19.4283i | −1.03129 | + | 0.696986i | ||||
\(778\) | 17.4192 | + | 34.5859i | 0.624508 | + | 1.23996i | ||||
\(779\) | −34.4085 | + | 28.2383i | −1.23281 | + | 1.01174i | ||||
\(780\) | −5.46496 | + | 6.09968i | −0.195677 | + | 0.218404i | ||||
\(781\) | 11.2924 | − | 6.03591i | 0.404074 | − | 0.215982i | ||||
\(782\) | −0.0834299 | − | 0.0875883i | −0.00298345 | − | 0.00313215i | ||||
\(783\) | 2.80784 | + | 2.72033i | 0.100344 | + | 0.0972167i | ||||
\(784\) | −3.49362 | + | 1.06333i | −0.124772 | + | 0.0379762i | ||||
\(785\) | −12.9177 | + | 5.35069i | −0.461053 | + | 0.190974i | ||||
\(786\) | 0.724869 | − | 38.0774i | 0.0258552 | − | 1.35817i | ||||
\(787\) | −3.75169 | + | 12.3677i | −0.133733 | + | 0.440860i | −0.998073 | − | 0.0620483i | \(-0.980237\pi\) |
0.864340 | + | 0.502908i | \(0.167737\pi\) | |||||||
\(788\) | −15.7589 | − | 2.33010i | −0.561386 | − | 0.0830065i | ||||
\(789\) | 24.9651 | − | 7.71716i | 0.888782 | − | 0.274738i | ||||
\(790\) | 9.71686 | − | 0.719035i | 0.345710 | − | 0.0255821i | ||||
\(791\) | −7.98878 | − | 5.33793i | −0.284048 | − | 0.189795i | ||||
\(792\) | 26.9542 | + | 4.36519i | 0.957777 | + | 0.155110i | ||||
\(793\) | −21.3455 | − | 31.9458i | −0.758002 | − | 1.13443i | ||||
\(794\) | 46.1658 | + | 5.68310i | 1.63836 | + | 0.201686i | ||||
\(795\) | 0.286565 | + | 0.345448i | 0.0101634 | + | 0.0122518i | ||||
\(796\) | −36.7235 | + | 5.46491i | −1.30163 | + | 0.193698i | ||||
\(797\) | −15.7169 | − | 12.8985i | −0.556722 | − | 0.456890i | 0.313474 | − | 0.949597i | \(-0.398507\pi\) |
−0.870195 | + | 0.492707i | \(0.836007\pi\) | |||||||
\(798\) | 21.0499 | + | 14.6522i | 0.745157 | + | 0.518681i | ||||
\(799\) | −4.05823 | + | 4.05823i | −0.143570 | + | 0.143570i | ||||
\(800\) | −15.7491 | − | 20.1323i | −0.556816 | − | 0.711783i | ||||
\(801\) | −15.4389 | + | 0.162926i | −0.545507 | + | 0.00575670i | ||||
\(802\) | −4.74155 | − | 1.06359i | −0.167430 | − | 0.0375567i | ||||
\(803\) | 38.4181 | + | 31.5289i | 1.35575 | + | 1.11263i | ||||
\(804\) | 0.266265 | − | 0.363360i | 0.00939046 | − | 0.0128147i | ||||
\(805\) | 0.103497 | + | 0.341183i | 0.00364779 | + | 0.0120251i | ||||
\(806\) | 18.4000 | − | 14.3664i | 0.648114 | − | 0.506036i | ||||
\(807\) | 25.7738 | − | 39.0174i | 0.907282 | − | 1.37348i | ||||
\(808\) | 17.5213 | − | 0.442376i | 0.616396 | − | 0.0155628i | ||||
\(809\) | 29.1112 | + | 19.4514i | 1.02349 | + | 0.683877i | 0.949624 | − | 0.313391i | \(-0.101465\pi\) |
0.0738695 | + | 0.997268i | \(0.476465\pi\) | |||||||
\(810\) | 5.62469 | − | 6.80908i | 0.197631 | − | 0.239247i | ||||
\(811\) | −4.30864 | + | 43.7464i | −0.151297 | + | 1.53614i | 0.557170 | + | 0.830399i | \(0.311887\pi\) |
−0.708467 | + | 0.705744i | \(0.750613\pi\) | |||||||
\(812\) | −2.17446 | + | 3.63170i | −0.0763085 | + | 0.127448i | ||||
\(813\) | −2.75202 | − | 26.5071i | −0.0965174 | − | 0.929646i | ||||
\(814\) | 11.6705 | + | 30.2337i | 0.409052 | + | 1.05969i | ||||
\(815\) | 3.03866 | − | 1.25866i | 0.106440 | − | 0.0440888i | ||||
\(816\) | −3.24423 | + | 0.0201410i | −0.113571 | + | 0.000705076i | ||||
\(817\) | 14.4182 | + | 5.97220i | 0.504428 | + | 0.208941i | ||||
\(818\) | 0.561131 | − | 23.0771i | 0.0196195 | − | 0.806871i | ||||
\(819\) | −8.05567 | + | 27.6012i | −0.281488 | + | 0.964464i | ||||
\(820\) | −11.1395 | + | 12.3021i | −0.389009 | + | 0.429607i | ||||
\(821\) | −1.44835 | + | 1.18863i | −0.0505478 | + | 0.0414835i | −0.659328 | − | 0.751855i | \(-0.729159\pi\) |
0.608780 | + | 0.793339i | \(0.291659\pi\) | |||||||
\(822\) | −35.7534 | + | 2.83546i | −1.24704 | + | 0.0988980i | ||||
\(823\) | 5.07028 | − | 1.00854i | 0.176739 | − | 0.0351555i | −0.105927 | − | 0.994374i | \(-0.533781\pi\) |
0.282666 | + | 0.959218i | \(0.408781\pi\) | |||||||
\(824\) | 0.573968 | + | 1.73336i | 0.0199951 | + | 0.0603843i | ||||
\(825\) | 5.04357 | + | 24.6746i | 0.175595 | + | 0.859060i | ||||
\(826\) | −13.1543 | − | 47.4904i | −0.457696 | − | 1.65240i | ||||
\(827\) | −4.03394 | − | 2.15619i | −0.140274 | − | 0.0749780i | 0.399767 | − | 0.916617i | \(-0.369091\pi\) |
−0.540041 | + | 0.841639i | \(0.681591\pi\) | |||||||
\(828\) | 0.744902 | + | 0.803891i | 0.0258871 | + | 0.0279371i | ||||
\(829\) | 0.654859 | + | 6.64890i | 0.0227442 | + | 0.230926i | 0.999836 | + | 0.0181077i | \(0.00576416\pi\) |
−0.977092 | + | 0.212818i | \(0.931736\pi\) | |||||||
\(830\) | −0.423597 | + | 0.0736027i | −0.0147033 | + | 0.00255479i | ||||
\(831\) | −29.1661 | + | 12.2617i | −1.01176 | + | 0.425353i | ||||
\(832\) | −27.2260 | − | 1.29938i | −0.943892 | − | 0.0450479i | ||||
\(833\) | −0.427517 | −0.0148126 | ||||||||
\(834\) | 2.13944 | − | 1.37135i | 0.0740826 | − | 0.0474861i | ||||
\(835\) | 4.84550 | − | 0.477240i | 0.167685 | − | 0.0165156i | ||||
\(836\) | 17.7425 | − | 16.0959i | 0.613636 | − | 0.556689i | ||||
\(837\) | −19.2049 | + | 16.2765i | −0.663817 | + | 0.562598i | ||||
\(838\) | −0.845630 | − | 3.05295i | −0.0292118 | − | 0.105462i | ||||
\(839\) | 10.7645 | + | 2.14118i | 0.371630 | + | 0.0739219i | 0.377372 | − | 0.926062i | \(-0.376828\pi\) |
−0.00574191 | + | 0.999984i | \(0.501828\pi\) | |||||||
\(840\) | 8.56691 | + | 4.24825i | 0.295586 | + | 0.146579i | ||||
\(841\) | −5.54718 | − | 27.8876i | −0.191282 | − | 0.961640i | ||||
\(842\) | −4.49938 | + | 13.6305i | −0.155059 | + | 0.469737i | ||||
\(843\) | −25.4636 | − | 13.4383i | −0.877013 | − | 0.462840i | ||||
\(844\) | 1.94331 | + | 39.1844i | 0.0668915 | + | 1.34878i | ||||
\(845\) | 0.851534 | − | 0.455154i | 0.0292936 | − | 0.0156578i | ||||
\(846\) | 37.2707 | − | 36.2590i | 1.28139 | − | 1.24661i | ||||
\(847\) | −0.693960 | + | 1.67537i | −0.0238448 | + | 0.0575663i | ||||
\(848\) | −0.290062 | + | 1.46538i | −0.00996079 | + | 0.0503213i | ||||
\(849\) | 29.2797 | − | 29.5903i | 1.00488 | − | 1.01554i | ||||
\(850\) | −1.07758 | − | 2.79157i | −0.0369605 | − | 0.0957501i | ||||
\(851\) | −0.377590 | + | 1.24475i | −0.0129436 | + | 0.0426694i | ||||
\(852\) | 11.0238 | − | 8.27435i | 0.377669 | − | 0.283475i | ||||
\(853\) | 8.75303 | + | 0.862098i | 0.299698 | + | 0.0295177i | 0.246749 | − | 0.969080i | \(-0.420638\pi\) |
0.0529494 | + | 0.998597i | \(0.483138\pi\) | |||||||
\(854\) | −29.2938 | + | 33.9756i | −1.00241 | + | 1.16262i | ||||
\(855\) | −1.59173 | − | 7.58309i | −0.0544362 | − | 0.259336i | ||||
\(856\) | −9.77944 | − | 3.76450i | −0.334254 | − | 0.128668i | ||||
\(857\) | 2.56735 | + | 3.84230i | 0.0876989 | + | 0.131251i | 0.872725 | − | 0.488212i | \(-0.162351\pi\) |
−0.785026 | + | 0.619462i | \(0.787351\pi\) | |||||||
\(858\) | 23.4399 | + | 13.1085i | 0.800225 | + | 0.447516i | ||||
\(859\) | 48.9401 | − | 14.8458i | 1.66982 | − | 0.506533i | 0.693059 | − | 0.720881i | \(-0.256263\pi\) |
0.976757 | + | 0.214348i | \(0.0687627\pi\) | |||||||
\(860\) | 5.64491 | + | 1.41118i | 0.192490 | + | 0.0481209i | ||||
\(861\) | −16.6193 | + | 55.8454i | −0.566383 | + | 1.90321i | ||||
\(862\) | −6.30987 | − | 1.41538i | −0.214915 | − | 0.0482082i | ||||
\(863\) | 21.0292 | − | 21.0292i | 0.715841 | − | 0.715841i | −0.251909 | − | 0.967751i | \(-0.581058\pi\) |
0.967751 | + | 0.251909i | \(0.0810585\pi\) | |||||||
\(864\) | 29.3930 | + | 0.221921i | 0.999971 | + | 0.00754992i | ||||
\(865\) | 7.37238 | + | 7.37238i | 0.250668 | + | 0.250668i | ||||
\(866\) | −6.89089 | − | 10.8763i | −0.234162 | − | 0.369592i | ||||
\(867\) | 27.8577 | + | 8.29027i | 0.946096 | + | 0.281552i | ||||
\(868\) | −21.9005 | − | 16.2267i | −0.743353 | − | 0.550771i | ||||
\(869\) | −9.27495 | − | 30.5754i | −0.314631 | − | 1.03720i | ||||
\(870\) | 1.23059 | − | 0.347860i | 0.0417209 | − | 0.0117936i | ||||
\(871\) | 0.368396 | − | 0.246154i | 0.0124826 | − | 0.00834061i | ||||
\(872\) | 0.724266 | − | 1.14551i | 0.0245268 | − | 0.0387919i | ||||
\(873\) | −40.7703 | + | 8.55792i | −1.37986 | + | 0.289642i | ||||
\(874\) | 0.958886 | − | 0.0709563i | 0.0324348 | − | 0.00240013i | ||||
\(875\) | −1.82109 | + | 18.4899i | −0.0615642 | + | 0.625072i | ||||
\(876\) | 46.0462 | + | 27.2409i | 1.55576 | + | 0.920384i | ||||
\(877\) | −3.31537 | − | 1.00571i | −0.111952 | − | 0.0339603i | 0.233812 | − | 0.972282i | \(-0.424880\pi\) |
−0.345764 | + | 0.938322i | \(0.612380\pi\) | |||||||
\(878\) | 7.50572 | + | 3.32497i | 0.253306 | + | 0.112212i | ||||
\(879\) | 8.00113 | + | 7.91714i | 0.269871 | + | 0.267038i | ||||
\(880\) | 5.65977 | − | 6.90957i | 0.190791 | − | 0.232922i | ||||
\(881\) | 32.6502 | + | 13.5242i | 1.10001 | + | 0.455641i | 0.857488 | − | 0.514504i | \(-0.172024\pi\) |
0.242526 | + | 0.970145i | \(0.422024\pi\) | |||||||
\(882\) | 3.87301 | + | 0.0532890i | 0.130411 | + | 0.00179433i | ||||
\(883\) | 23.6732 | + | 44.2895i | 0.796668 | + | 1.49046i | 0.869945 | + | 0.493150i | \(0.164154\pi\) |
−0.0732764 | + | 0.997312i | \(0.523346\pi\) | |||||||
\(884\) | −3.00490 | − | 1.07359i | −0.101066 | − | 0.0361088i | ||||
\(885\) | −6.94861 | + | 13.1666i | −0.233575 | + | 0.442589i | ||||
\(886\) | 11.3822 | + | 22.5994i | 0.382392 | + | 0.759242i | ||||
\(887\) | 22.3480 | − | 4.44530i | 0.750374 | − | 0.149259i | 0.194935 | − | 0.980816i | \(-0.437550\pi\) |
0.555439 | + | 0.831557i | \(0.312550\pi\) | |||||||
\(888\) | 17.3767 | + | 30.2512i | 0.583124 | + | 1.01517i | ||||
\(889\) | −7.13414 | + | 35.8658i | −0.239271 | + | 1.20290i | ||||
\(890\) | −2.48831 | + | 4.39487i | −0.0834084 | + | 0.147316i | ||||
\(891\) | −25.8244 | − | 13.1104i | −0.865150 | − | 0.439215i | ||||
\(892\) | −2.18957 | + | 4.63505i | −0.0733123 | + | 0.155193i | ||||
\(893\) | −4.47148 | − | 45.3997i | −0.149632 | − | 1.51924i | ||||
\(894\) | 7.67289 | − | 35.0717i | 0.256620 | − | 1.17297i | ||||
\(895\) | 2.50564i | 0.0837542i | ||||||||
\(896\) | 7.02363 | + | 31.0407i | 0.234643 | + | 1.03700i | ||||
\(897\) | 0.417755 | + | 0.993687i | 0.0139484 | + | 0.0331783i | ||||
\(898\) | 40.3732 | + | 28.4199i | 1.34727 | + | 0.948386i | ||||
\(899\) | −3.62761 | + | 0.357288i | −0.120988 | + | 0.0119162i | ||||
\(900\) | 9.41415 | + | 25.4241i | 0.313805 | + | 0.847470i | ||||
\(901\) | −0.0824368 | + | 0.154228i | −0.00274637 | + | 0.00513809i | ||||
\(902\) | 47.3589 | + | 26.8139i | 1.57688 | + | 0.892805i | ||||
\(903\) | 20.0143 | − | 4.09099i | 0.666035 | − | 0.136140i | ||||
\(904\) | −5.93825 | + | 7.62014i | −0.197503 | + | 0.253442i | ||||
\(905\) | −1.63295 | − | 8.20939i | −0.0542811 | − | 0.272889i | ||||
\(906\) | 15.8388 | + | 13.5112i | 0.526209 | + | 0.448878i | ||||
\(907\) | −9.41707 | − | 11.4747i | −0.312689 | − | 0.381012i | 0.592824 | − | 0.805332i | \(-0.298013\pi\) |
−0.905512 | + | 0.424320i | \(0.860513\pi\) | |||||||
\(908\) | 48.0257 | + | 17.1586i | 1.59379 | + | 0.569429i | ||||
\(909\) | −17.8455 | − | 5.20838i | −0.591898 | − | 0.172751i | ||||
\(910\) | 6.48680 | + | 6.81012i | 0.215035 | + | 0.225753i | ||||
\(911\) | −22.2823 | + | 53.7943i | −0.738247 | + | 1.78229i | −0.125365 | + | 0.992111i | \(0.540010\pi\) |
−0.612882 | + | 0.790175i | \(0.709990\pi\) | |||||||
\(912\) | 16.2356 | − | 20.0355i | 0.537615 | − | 0.663442i | ||||
\(913\) | 0.539545 | + | 1.30258i | 0.0178563 | + | 0.0431090i | ||||
\(914\) | 12.7021 | − | 28.6735i | 0.420148 | − | 0.948436i | ||||
\(915\) | 13.4804 | − | 1.39956i | 0.445650 | − | 0.0462681i | ||||
\(916\) | −6.17492 | − | 8.31781i | −0.204025 | − | 0.274828i | ||||
\(917\) | −43.5254 | − | 4.28688i | −1.43734 | − | 0.141565i | ||||
\(918\) | 3.28433 | + | 1.02679i | 0.108399 | + | 0.0338891i | ||||
\(919\) | −6.05242 | + | 9.05809i | −0.199651 | + | 0.298799i | −0.917763 | − | 0.397129i | \(-0.870007\pi\) |
0.718112 | + | 0.695928i | \(0.245007\pi\) | |||||||
\(920\) | 0.349726 | − | 0.0787903i | 0.0115301 | − | 0.00259764i | ||||
\(921\) | −9.52446 | − | 6.29161i | −0.313842 | − | 0.207315i | ||||
\(922\) | −50.7058 | − | 6.24197i | −1.66991 | − | 0.205568i | ||||
\(923\) | 12.9732 | − | 3.93538i | 0.427018 | − | 0.129534i | ||||
\(924\) | 7.44448 | − | 30.4611i | 0.244905 | − | 1.00210i | ||||
\(925\) | −20.4131 | + | 24.8735i | −0.671179 | + | 0.817834i | ||||
\(926\) | −28.7981 | + | 18.2456i | −0.946363 | + | 0.599587i | ||||
\(927\) | −0.0204365 | − | 1.93657i | −0.000671221 | − | 0.0636052i | ||||
\(928\) | 3.48259 | + | 2.44666i | 0.114322 | + | 0.0803154i | ||||
\(929\) | −11.3459 | − | 11.3459i | −0.372247 | − | 0.372247i | 0.496048 | − | 0.868295i | \(-0.334784\pi\) |
−0.868295 | + | 0.496048i | \(0.834784\pi\) | |||||||
\(930\) | 1.45249 | + | 8.10553i | 0.0476289 | + | 0.265791i | ||||
\(931\) | 2.15580 | − | 2.62685i | 0.0706535 | − | 0.0860915i | ||||
\(932\) | −48.2399 | − | 12.0596i | −1.58015 | − | 0.395025i | ||||
\(933\) | 43.2441 | − | 35.8730i | 1.41575 | − | 1.17443i | ||||
\(934\) | −39.1551 | + | 30.5716i | −1.28120 | + | 1.00033i | ||||
\(935\) | 0.869400 | − | 0.580914i | 0.0284324 | − | 0.0189979i | ||||
\(936\) | 27.0886 | + | 10.1006i | 0.885418 | + | 0.330148i | ||||
\(937\) | 18.5391 | − | 27.7457i | 0.605646 | − | 0.906413i | −0.394275 | − | 0.918992i | \(-0.629004\pi\) |
0.999921 | + | 0.0125796i | \(0.00400432\pi\) | |||||||
\(938\) | −0.391803 | − | 0.337812i | −0.0127928 | − | 0.0110300i | ||||
\(939\) | 14.6387 | + | 47.3565i | 0.477717 | + | 1.54542i | ||||
\(940\) | −4.14050 | − | 16.4972i | −0.135048 | − | 0.538079i | ||||
\(941\) | −44.1409 | − | 13.3900i | −1.43895 | − | 0.436501i | −0.528081 | − | 0.849194i | \(-0.677088\pi\) |
−0.910870 | + | 0.412693i | \(0.864588\pi\) | |||||||
\(942\) | 34.2305 | + | 35.5591i | 1.11529 | + | 1.15858i | ||||
\(943\) | 0.835921 | + | 2.01809i | 0.0272213 | + | 0.0657181i | ||||
\(944\) | −48.5877 | + | 9.71178i | −1.58140 | + | 0.316091i | ||||
\(945\) | −7.28442 | − | 7.05739i | −0.236962 | − | 0.229577i | ||||
\(946\) | 0.463822 | − | 19.0752i | 0.0150802 | − | 0.620187i | ||||
\(947\) | 4.43947 | + | 8.30567i | 0.144263 | + | 0.269898i | 0.943667 | − | 0.330896i | \(-0.107351\pi\) |
−0.799404 | + | 0.600794i | \(0.794851\pi\) | |||||||
\(948\) | −14.8841 | − | 31.0078i | −0.483412 | − | 1.00709i | ||||
\(949\) | 33.3822 | + | 40.6764i | 1.08363 | + | 1.32041i | ||||
\(950\) | 22.5864 | + | 7.45572i | 0.732801 | + | 0.241895i | ||||
\(951\) | −33.1353 | − | 49.0285i | −1.07449 | − | 1.58986i | ||||
\(952\) | −0.271486 | + | 3.71584i | −0.00879891 | + | 0.120431i | ||||
\(953\) | 9.00753 | − | 45.2839i | 0.291783 | − | 1.46689i | −0.505260 | − | 0.862967i | \(-0.668603\pi\) |
0.797043 | − | 0.603923i | \(-0.206397\pi\) | |||||||
\(954\) | 0.766046 | − | 1.38693i | 0.0248017 | − | 0.0449035i | ||||
\(955\) | −7.24038 | + | 13.5458i | −0.234293 | + | 0.438332i | ||||
\(956\) | 19.5226 | − | 17.7108i | 0.631404 | − | 0.572808i | ||||
\(957\) | −1.99631 | − | 3.68790i | −0.0645317 | − | 0.119213i | ||||
\(958\) | 45.1890 | − | 7.85188i | 1.45999 | − | 0.253683i | ||||
\(959\) | 41.1882i | 1.33004i | ||||||||
\(960\) | 4.88787 | − | 8.27973i | 0.157755 | − | 0.267227i | ||||
\(961\) | 7.52774i | 0.242830i | ||||||||
\(962\) | 5.87409 | + | 33.8064i | 0.189388 | + | 1.08996i | ||||
\(963\) | 8.66565 | + | 6.95999i | 0.279247 | + | 0.224283i | ||||
\(964\) | −28.1059 | − | 1.36762i | −0.905229 | − | 0.0440482i | ||||
\(965\) | 0.420992 | − | 0.787621i | 0.0135522 | − | 0.0253544i | ||||
\(966\) | 0.987930 | − | 0.779784i | 0.0317861 | − | 0.0250891i | ||||
\(967\) | 9.17774 | − | 46.1396i | 0.295136 | − | 1.48375i | −0.493963 | − | 0.869483i | \(-0.664452\pi\) |
0.789099 | − | 0.614266i | \(-0.210548\pi\) | |||||||
\(968\) | 1.62923 | + | 0.818661i | 0.0523656 | + | 0.0263128i | ||||
\(969\) | 2.50128 | − | 1.69046i | 0.0803526 | − | 0.0543053i | ||||
\(970\) | −4.27144 | + | 12.9400i | −0.137148 | + | 0.415477i | ||||
\(971\) | −6.64873 | − | 8.10150i | −0.213368 | − | 0.259989i | 0.655318 | − | 0.755353i | \(-0.272535\pi\) |
−0.868686 | + | 0.495364i | \(0.835035\pi\) | |||||||
\(972\) | −29.6258 | − | 9.71141i | −0.950248 | − | 0.311494i | ||||
\(973\) | −1.37570 | − | 2.57375i | −0.0441028 | − | 0.0825105i | ||||
\(974\) | −49.1818 | − | 1.19588i | −1.57589 | − | 0.0383185i | ||||
\(975\) | 0.140692 | + | 26.6648i | 0.00450575 | + | 0.853957i | ||||
\(976\) | 31.9249 | + | 31.8654i | 1.02189 | + | 1.01999i | ||||
\(977\) | 1.44955 | + | 3.49951i | 0.0463751 | + | 0.111959i | 0.945370 | − | 0.326001i | \(-0.105701\pi\) |
−0.898994 | + | 0.437960i | \(0.855701\pi\) | |||||||
\(978\) | −8.05212 | − | 8.36464i | −0.257478 | − | 0.267472i | ||||
\(979\) | 15.8484 | + | 4.80757i | 0.506518 | + | 0.153651i | ||||
\(980\) | 0.650860 | − | 1.08704i | 0.0207910 | − | 0.0347243i | ||||
\(981\) | −1.10150 | + | 0.923604i | −0.0351683 | + | 0.0294884i | ||||
\(982\) | −4.46171 | + | 5.17480i | −0.142379 | + | 0.165134i | ||||
\(983\) | −5.30500 | + | 7.93949i | −0.169203 | + | 0.253230i | −0.906374 | − | 0.422476i | \(-0.861161\pi\) |
0.737171 | + | 0.675706i | \(0.236161\pi\) | |||||||
\(984\) | 54.7848 | + | 20.7576i | 1.74648 | + | 0.661729i | ||||
\(985\) | 4.59546 | − | 3.07059i | 0.146424 | − | 0.0978372i | ||||
\(986\) | 0.306635 | + | 0.392728i | 0.00976524 | + | 0.0125070i | ||||
\(987\) | −38.1258 | − | 45.9598i | −1.21356 | − | 1.46292i | ||||
\(988\) | 21.7492 | − | 13.0497i | 0.691933 | − | 0.415167i | ||||
\(989\) | 0.485847 | − | 0.592006i | 0.0154490 | − | 0.0188247i | ||||
\(990\) | −7.94859 | + | 5.15433i | −0.252623 | + | 0.163815i | ||||
\(991\) | −30.2901 | − | 30.2901i | −0.962197 | − | 0.962197i | 0.0371136 | − | 0.999311i | \(-0.488184\pi\) |
−0.999311 | + | 0.0371136i | \(0.988184\pi\) | |||||||
\(992\) | −17.8769 | + | 20.7732i | −0.567594 | + | 0.659551i | ||||
\(993\) | 37.8657 | + | 15.4509i | 1.20163 | + | 0.490321i | ||||
\(994\) | −8.47169 | − | 13.3714i | −0.268706 | − | 0.424114i | ||||
\(995\) | 8.17185 | − | 9.95743i | 0.259065 | − | 0.315672i | ||||
\(996\) | 0.787734 | + | 1.29730i | 0.0249603 | + | 0.0411066i | ||||
\(997\) | 10.2588 | − | 3.11197i | 0.324899 | − | 0.0985570i | −0.123622 | − | 0.992329i | \(-0.539451\pi\) |
0.448521 | + | 0.893772i | \(0.351951\pi\) | |||||||
\(998\) | −3.36646 | + | 27.3470i | −0.106563 | + | 0.865653i | ||||
\(999\) | −7.79246 | − | 36.1732i | −0.246543 | − | 1.14447i |
(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 | 384.2.w.a.11.11 | ✓ | 992 | |
3.2 | odd | 2 | inner | 384.2.w.a.11.52 | yes | 992 | |
128.35 | odd | 32 | inner | 384.2.w.a.35.52 | yes | 992 | |
384.35 | even | 32 | inner | 384.2.w.a.35.11 | yes | 992 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.w.a.11.11 | ✓ | 992 | 1.1 | even | 1 | trivial | |
384.2.w.a.11.52 | yes | 992 | 3.2 | odd | 2 | inner | |
384.2.w.a.35.11 | yes | 992 | 384.35 | even | 32 | inner | |
384.2.w.a.35.52 | yes | 992 | 128.35 | odd | 32 | inner |