Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(52,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([8, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.52");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bs (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 52.2 | ||
Character | \(\chi\) | \(=\) | 315.52 |
Dual form | 315.2.bs.e.103.2 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.88273 | − | 1.88273i | −1.33129 | − | 1.33129i | −0.904218 | − | 0.427071i | \(-0.859545\pi\) |
−0.427071 | − | 0.904218i | \(-0.640455\pi\) | |||||||
\(3\) | −1.73169 | − | 0.0355078i | −0.999790 | − | 0.0205005i | ||||
\(4\) | 5.08933i | 2.54466i | ||||||||
\(5\) | −2.21562 | − | 0.301714i | −0.990855 | − | 0.134931i | ||||
\(6\) | 3.19344 | + | 3.32715i | 1.30372 | + | 1.35830i | ||||
\(7\) | 2.48041 | − | 0.920630i | 0.937507 | − | 0.347965i | ||||
\(8\) | 5.81636 | − | 5.81636i | 2.05639 | − | 2.05639i | ||||
\(9\) | 2.99748 | + | 0.122977i | 0.999159 | + | 0.0409923i | ||||
\(10\) | 3.60336 | + | 4.73945i | 1.13948 | + | 1.49875i | ||||
\(11\) | 1.62336 | + | 2.81175i | 0.489462 | + | 0.847774i | 0.999926 | − | 0.0121255i | \(-0.00385976\pi\) |
−0.510464 | + | 0.859899i | \(0.670526\pi\) | |||||||
\(12\) | 0.180711 | − | 8.81312i | 0.0521667 | − | 2.54413i | ||||
\(13\) | −0.641669 | + | 2.39474i | −0.177967 | + | 0.664182i | 0.818060 | + | 0.575133i | \(0.195050\pi\) |
−0.996027 | + | 0.0890494i | \(0.971617\pi\) | |||||||
\(14\) | −6.40323 | − | 2.93664i | −1.71134 | − | 0.784851i | ||||
\(15\) | 3.82605 | + | 0.601147i | 0.987881 | + | 0.155215i | ||||
\(16\) | −11.7226 | −2.93064 | ||||||||
\(17\) | −1.36090 | − | 5.07896i | −0.330067 | − | 1.23183i | −0.909119 | − | 0.416537i | \(-0.863244\pi\) |
0.579051 | − | 0.815291i | \(-0.303423\pi\) | |||||||
\(18\) | −5.41190 | − | 5.87497i | −1.27560 | − | 1.38474i | ||||
\(19\) | −2.05364 | − | 3.55701i | −0.471138 | − | 0.816035i | 0.528317 | − | 0.849047i | \(-0.322823\pi\) |
−0.999455 | + | 0.0330122i | \(0.989490\pi\) | |||||||
\(20\) | 1.53552 | − | 11.2760i | 0.343353 | − | 2.52139i | ||||
\(21\) | −4.32799 | + | 1.50617i | −0.944444 | + | 0.328673i | ||||
\(22\) | 2.23740 | − | 8.35010i | 0.477016 | − | 1.78025i | ||||
\(23\) | 0.428661 | + | 1.59978i | 0.0893819 | + | 0.333578i | 0.996108 | − | 0.0881425i | \(-0.0280931\pi\) |
−0.906726 | + | 0.421720i | \(0.861426\pi\) | |||||||
\(24\) | −10.2786 | + | 9.86558i | −2.09812 | + | 2.01380i | ||||
\(25\) | 4.81794 | + | 1.33697i | 0.963587 | + | 0.267394i | ||||
\(26\) | 5.71674 | − | 3.30056i | 1.12114 | − | 0.647293i | ||||
\(27\) | −5.18633 | − | 0.319391i | −0.998109 | − | 0.0614669i | ||||
\(28\) | 4.68538 | + | 12.6236i | 0.885454 | + | 2.38564i | ||||
\(29\) | −1.10972 | − | 0.640698i | −0.206070 | − | 0.118975i | 0.393414 | − | 0.919362i | \(-0.371294\pi\) |
−0.599484 | + | 0.800387i | \(0.704627\pi\) | |||||||
\(30\) | −6.07161 | − | 8.33520i | −1.10852 | − | 1.52179i | ||||
\(31\) | − | 5.90489i | − | 1.06055i | −0.847826 | − | 0.530274i | \(-0.822089\pi\) | ||
0.847826 | − | 0.530274i | \(-0.177911\pi\) | |||||||
\(32\) | 10.4377 | + | 10.4377i | 1.84514 | + | 1.84514i | ||||
\(33\) | −2.71132 | − | 4.92671i | −0.471980 | − | 0.857630i | ||||
\(34\) | −7.00008 | + | 12.1245i | −1.20050 | + | 2.07933i | ||||
\(35\) | −5.77341 | + | 1.29139i | −0.975885 | + | 0.218285i | ||||
\(36\) | −0.625869 | + | 15.2551i | −0.104312 | + | 2.54252i | ||||
\(37\) | 0.437179 | − | 1.63157i | 0.0718718 | − | 0.268229i | −0.920634 | − | 0.390427i | \(-0.872327\pi\) |
0.992506 | + | 0.122198i | \(0.0389942\pi\) | |||||||
\(38\) | −2.83044 | + | 10.5633i | −0.459158 | + | 1.71360i | ||||
\(39\) | 1.19620 | − | 4.12416i | 0.191546 | − | 0.660394i | ||||
\(40\) | −14.6417 | + | 11.1320i | −2.31506 | + | 1.76012i | ||||
\(41\) | 4.15940 | − | 2.40143i | 0.649589 | − | 0.375041i | −0.138709 | − | 0.990333i | \(-0.544295\pi\) |
0.788299 | + | 0.615292i | \(0.210962\pi\) | |||||||
\(42\) | 10.9841 | + | 5.31271i | 1.69489 | + | 0.819769i | ||||
\(43\) | −1.26195 | − | 4.70965i | −0.192445 | − | 0.718215i | −0.992913 | − | 0.118840i | \(-0.962083\pi\) |
0.800468 | − | 0.599375i | \(-0.204584\pi\) | |||||||
\(44\) | −14.3099 | + | 8.26182i | −2.15730 | + | 1.24552i | ||||
\(45\) | −6.60417 | − | 1.17685i | −0.984491 | − | 0.175435i | ||||
\(46\) | 2.20490 | − | 3.81901i | 0.325095 | − | 0.563082i | ||||
\(47\) | 5.56744 | − | 5.56744i | 0.812095 | − | 0.812095i | −0.172853 | − | 0.984948i | \(-0.555299\pi\) |
0.984948 | + | 0.172853i | \(0.0552985\pi\) | |||||||
\(48\) | 20.2998 | + | 0.416243i | 2.93003 | + | 0.0600795i | ||||
\(49\) | 5.30488 | − | 4.56708i | 0.757840 | − | 0.652440i | ||||
\(50\) | −6.55371 | − | 11.5880i | −0.926835 | − | 1.63879i | ||||
\(51\) | 2.17631 | + | 8.84349i | 0.304745 | + | 1.23834i | ||||
\(52\) | −12.1876 | − | 3.26566i | −1.69012 | − | 0.452866i | ||||
\(53\) | 0.241383 | + | 0.900855i | 0.0331566 | + | 0.123742i | 0.980521 | − | 0.196417i | \(-0.0629305\pi\) |
−0.947364 | + | 0.320159i | \(0.896264\pi\) | |||||||
\(54\) | 9.16311 | + | 10.3658i | 1.24694 | + | 1.41060i | ||||
\(55\) | −2.74841 | − | 6.71955i | −0.370595 | − | 0.906064i | ||||
\(56\) | 9.07225 | − | 19.7817i | 1.21233 | − | 2.64344i | ||||
\(57\) | 3.42997 | + | 6.23256i | 0.454310 | + | 0.825522i | ||||
\(58\) | 0.883043 | + | 3.29556i | 0.115949 | + | 0.432729i | ||||
\(59\) | 11.5338 | 1.50158 | 0.750789 | − | 0.660542i | \(-0.229674\pi\) | ||||
0.750789 | + | 0.660542i | \(0.229674\pi\) | |||||||
\(60\) | −3.05943 | + | 19.4720i | −0.394971 | + | 2.51382i | ||||
\(61\) | − | 6.44515i | − | 0.825217i | −0.910909 | − | 0.412608i | \(-0.864618\pi\) | ||
0.910909 | − | 0.412608i | \(-0.135382\pi\) | |||||||
\(62\) | −11.1173 | + | 11.1173i | −1.41190 | + | 1.41190i | ||||
\(63\) | 7.54820 | − | 2.45453i | 0.950983 | − | 0.309242i | ||||
\(64\) | − | 15.8576i | − | 1.98219i | ||||||
\(65\) | 2.14422 | − | 5.11224i | 0.265958 | − | 0.634095i | ||||
\(66\) | −4.17098 | + | 14.3803i | −0.513412 | + | 1.77009i | ||||
\(67\) | −5.36043 | − | 5.36043i | −0.654881 | − | 0.654881i | 0.299284 | − | 0.954164i | \(-0.403252\pi\) |
−0.954164 | + | 0.299284i | \(0.903252\pi\) | |||||||
\(68\) | 25.8485 | − | 6.92608i | 3.13459 | − | 0.839910i | ||||
\(69\) | −0.685501 | − | 2.78554i | −0.0825246 | − | 0.335340i | ||||
\(70\) | 13.3011 | + | 8.43843i | 1.58979 | + | 1.00859i | ||||
\(71\) | −13.2576 | −1.57339 | −0.786695 | − | 0.617341i | \(-0.788210\pi\) | ||||
−0.786695 | + | 0.617341i | \(0.788210\pi\) | |||||||
\(72\) | 18.1497 | − | 16.7191i | 2.13896 | − | 1.97037i | ||||
\(73\) | 4.65072 | − | 1.24616i | 0.544326 | − | 0.145852i | 0.0238303 | − | 0.999716i | \(-0.492414\pi\) |
0.520496 | + | 0.853864i | \(0.325747\pi\) | |||||||
\(74\) | −3.89490 | + | 2.24872i | −0.452773 | + | 0.261408i | ||||
\(75\) | −8.29568 | − | 2.48628i | −0.957903 | − | 0.287091i | ||||
\(76\) | 18.1028 | − | 10.4517i | 2.07653 | − | 1.19889i | ||||
\(77\) | 6.61518 | + | 5.47977i | 0.753870 | + | 0.624478i | ||||
\(78\) | −10.0168 | + | 5.51255i | −1.13418 | + | 0.624173i | ||||
\(79\) | − | 14.0025i | − | 1.57540i | −0.616058 | − | 0.787701i | \(-0.711271\pi\) | ||
0.616058 | − | 0.787701i | \(-0.288729\pi\) | |||||||
\(80\) | 25.9728 | + | 3.53687i | 2.90384 | + | 0.395434i | ||||
\(81\) | 8.96975 | + | 0.737241i | 0.996639 | + | 0.0819157i | ||||
\(82\) | −12.3523 | − | 3.30978i | −1.36408 | − | 0.365504i | ||||
\(83\) | −9.71864 | + | 2.60410i | −1.06676 | + | 0.285837i | −0.749161 | − | 0.662388i | \(-0.769543\pi\) |
−0.317598 | + | 0.948225i | \(0.602876\pi\) | |||||||
\(84\) | −7.66538 | − | 22.0265i | −0.836362 | − | 2.40329i | ||||
\(85\) | 1.48285 | + | 11.6636i | 0.160837 | + | 1.26510i | ||||
\(86\) | −6.49108 | + | 11.2429i | −0.699952 | + | 1.21235i | ||||
\(87\) | 1.89894 | + | 1.14889i | 0.203588 | + | 0.123174i | ||||
\(88\) | 25.7962 | + | 6.91207i | 2.74988 | + | 0.736829i | ||||
\(89\) | 2.60577 | + | 4.51332i | 0.276211 | + | 0.478411i | 0.970440 | − | 0.241343i | \(-0.0775878\pi\) |
−0.694229 | + | 0.719754i | \(0.744254\pi\) | |||||||
\(90\) | 10.2182 | + | 14.6495i | 1.07709 | + | 1.54420i | ||||
\(91\) | 0.613067 | + | 6.53069i | 0.0642669 | + | 0.684602i | ||||
\(92\) | −8.14182 | + | 2.18159i | −0.848843 | + | 0.227447i | ||||
\(93\) | −0.209670 | + | 10.2254i | −0.0217417 | + | 1.06033i | ||||
\(94\) | −20.9639 | −2.16227 | ||||||||
\(95\) | 3.47689 | + | 8.50060i | 0.356721 | + | 0.872143i | ||||
\(96\) | −17.7042 | − | 18.4455i | −1.80693 | − | 1.88258i | ||||
\(97\) | 1.20521 | + | 4.49790i | 0.122370 | + | 0.456693i | 0.999732 | − | 0.0231365i | \(-0.00736524\pi\) |
−0.877362 | + | 0.479829i | \(0.840699\pi\) | |||||||
\(98\) | −18.5862 | − | 1.38908i | −1.87749 | − | 0.140318i | ||||
\(99\) | 4.52021 | + | 8.62779i | 0.454299 | + | 0.867125i | ||||
\(100\) | −6.80427 | + | 24.5200i | −0.680427 | + | 2.45200i | ||||
\(101\) | 8.39686 | − | 4.84793i | 0.835519 | − | 0.482387i | −0.0202195 | − | 0.999796i | \(-0.506436\pi\) |
0.855739 | + | 0.517408i | \(0.173103\pi\) | |||||||
\(102\) | 12.5525 | − | 20.7473i | 1.24288 | − | 2.05429i | ||||
\(103\) | −7.03228 | + | 1.88429i | −0.692912 | + | 0.185665i | −0.588053 | − | 0.808822i | \(-0.700106\pi\) |
−0.104858 | + | 0.994487i | \(0.533439\pi\) | |||||||
\(104\) | 10.1965 | + | 17.6609i | 0.999849 | + | 1.73179i | ||||
\(105\) | 10.0436 | − | 2.03128i | 0.980155 | − | 0.198233i | ||||
\(106\) | 1.24161 | − | 2.15052i | 0.120595 | − | 0.208877i | ||||
\(107\) | 3.96652 | − | 14.8033i | 0.383458 | − | 1.43108i | −0.457125 | − | 0.889402i | \(-0.651121\pi\) |
0.840583 | − | 0.541682i | \(-0.182212\pi\) | |||||||
\(108\) | 1.62549 | − | 26.3949i | 0.156413 | − | 2.53985i | ||||
\(109\) | 12.6578 | + | 7.30798i | 1.21240 | + | 0.699977i | 0.963281 | − | 0.268497i | \(-0.0865269\pi\) |
0.249115 | + | 0.968474i | \(0.419860\pi\) | |||||||
\(110\) | −7.47658 | + | 17.8256i | −0.712864 | + | 1.69960i | ||||
\(111\) | −0.814991 | + | 2.80985i | −0.0773555 | + | 0.266699i | ||||
\(112\) | −29.0768 | + | 10.7922i | −2.74750 | + | 1.01976i | ||||
\(113\) | −1.97479 | − | 0.529143i | −0.185772 | − | 0.0497776i | 0.164733 | − | 0.986338i | \(-0.447324\pi\) |
−0.350506 | + | 0.936561i | \(0.613990\pi\) | |||||||
\(114\) | 5.27651 | − | 18.1919i | 0.494191 | − | 1.70383i | ||||
\(115\) | −0.467071 | − | 3.67384i | −0.0435546 | − | 0.342588i | ||||
\(116\) | 3.26072 | − | 5.64773i | 0.302750 | − | 0.524379i | ||||
\(117\) | −2.21789 | + | 7.09928i | −0.205044 | + | 0.656329i | ||||
\(118\) | −21.7151 | − | 21.7151i | −1.99903 | − | 1.99903i | ||||
\(119\) | −8.05144 | − | 11.3450i | −0.738074 | − | 1.04000i | ||||
\(120\) | 25.7501 | − | 18.7572i | 2.35065 | − | 1.71229i | ||||
\(121\) | 0.229387 | − | 0.397310i | 0.0208534 | − | 0.0361191i | ||||
\(122\) | −12.1345 | + | 12.1345i | −1.09860 | + | 1.09860i | ||||
\(123\) | −7.28805 | + | 4.01084i | −0.657141 | + | 0.361645i | ||||
\(124\) | 30.0519 | 2.69874 | ||||||||
\(125\) | −10.2713 | − | 4.41585i | −0.918696 | − | 0.394966i | ||||
\(126\) | −18.8324 | − | 9.58998i | −1.67772 | − | 0.854343i | ||||
\(127\) | 7.93386 | + | 7.93386i | 0.704017 | + | 0.704017i | 0.965270 | − | 0.261254i | \(-0.0841359\pi\) |
−0.261254 | + | 0.965270i | \(0.584136\pi\) | |||||||
\(128\) | −8.98004 | + | 8.98004i | −0.793731 | + | 0.793731i | ||||
\(129\) | 2.01807 | + | 8.20045i | 0.177681 | + | 0.722009i | ||||
\(130\) | −13.6619 | + | 5.58796i | −1.19823 | + | 0.490097i | ||||
\(131\) | −1.88738 | − | 1.08968i | −0.164901 | − | 0.0952055i | 0.415278 | − | 0.909694i | \(-0.363684\pi\) |
−0.580179 | + | 0.814489i | \(0.697017\pi\) | |||||||
\(132\) | 25.0736 | − | 13.7988i | 2.18238 | − | 1.20103i | ||||
\(133\) | −8.36857 | − | 6.93221i | −0.725647 | − | 0.601099i | ||||
\(134\) | 20.1845i | 1.74367i | ||||||||
\(135\) | 11.3946 | + | 2.27244i | 0.980688 | + | 0.195580i | ||||
\(136\) | −37.4565 | − | 21.6255i | −3.21187 | − | 1.85437i | ||||
\(137\) | −1.54693 | + | 5.77322i | −0.132163 | + | 0.493239i | −0.999993 | − | 0.00362124i | \(-0.998847\pi\) |
0.867830 | + | 0.496861i | \(0.165514\pi\) | |||||||
\(138\) | −3.95381 | + | 6.53503i | −0.336571 | + | 0.556299i | ||||
\(139\) | 2.29181 | + | 3.96952i | 0.194388 | + | 0.336691i | 0.946700 | − | 0.322117i | \(-0.104394\pi\) |
−0.752311 | + | 0.658808i | \(0.771061\pi\) | |||||||
\(140\) | −6.57230 | − | 29.3828i | −0.555461 | − | 2.48330i | ||||
\(141\) | −9.83875 | + | 9.44338i | −0.828572 | + | 0.795276i | ||||
\(142\) | 24.9605 | + | 24.9605i | 2.09464 | + | 2.09464i | ||||
\(143\) | −7.77507 | + | 2.08332i | −0.650184 | + | 0.174216i | ||||
\(144\) | −35.1382 | − | 1.44161i | −2.92818 | − | 0.120134i | ||||
\(145\) | 2.26541 | + | 1.75436i | 0.188132 | + | 0.145692i | ||||
\(146\) | −11.1022 | − | 6.40987i | −0.918826 | − | 0.530485i | ||||
\(147\) | −9.34856 | + | 7.72039i | −0.771056 | + | 0.636767i | ||||
\(148\) | 8.30361 | + | 2.22495i | 0.682553 | + | 0.182889i | ||||
\(149\) | 8.62876 | + | 4.98181i | 0.706895 | + | 0.408126i | 0.809910 | − | 0.586554i | \(-0.199516\pi\) |
−0.103015 | + | 0.994680i | \(0.532849\pi\) | |||||||
\(150\) | 10.9375 | + | 20.2995i | 0.893044 | + | 1.65745i | ||||
\(151\) | −1.64367 | − | 2.84692i | −0.133760 | − | 0.231679i | 0.791363 | − | 0.611346i | \(-0.209372\pi\) |
−0.925123 | + | 0.379667i | \(0.876038\pi\) | |||||||
\(152\) | −32.6336 | − | 8.74414i | −2.64693 | − | 0.709244i | ||||
\(153\) | −3.45468 | − | 15.3914i | −0.279294 | − | 1.24432i | ||||
\(154\) | −2.13767 | − | 22.7715i | −0.172259 | − | 1.83498i | ||||
\(155\) | −1.78159 | + | 13.0830i | −0.143101 | + | 1.05085i | ||||
\(156\) | 20.9892 | + | 6.08786i | 1.68048 | + | 0.487419i | ||||
\(157\) | −7.81462 | + | 7.81462i | −0.623674 | + | 0.623674i | −0.946469 | − | 0.322795i | \(-0.895378\pi\) |
0.322795 | + | 0.946469i | \(0.395378\pi\) | |||||||
\(158\) | −26.3629 | + | 26.3629i | −2.09732 | + | 2.09732i | ||||
\(159\) | −0.386013 | − | 1.56857i | −0.0306128 | − | 0.124396i | ||||
\(160\) | −19.9768 | − | 26.2752i | −1.57930 | − | 2.07724i | ||||
\(161\) | 2.53606 | + | 3.57348i | 0.199870 | + | 0.281630i | ||||
\(162\) | −15.4996 | − | 18.2756i | −1.21776 | − | 1.43587i | ||||
\(163\) | 4.09917 | + | 1.09837i | 0.321072 | + | 0.0860309i | 0.415755 | − | 0.909477i | \(-0.363517\pi\) |
−0.0946837 | + | 0.995507i | \(0.530184\pi\) | |||||||
\(164\) | 12.2217 | + | 21.1685i | 0.954352 | + | 1.65299i | ||||
\(165\) | 4.52079 | + | 11.7337i | 0.351943 | + | 0.913471i | ||||
\(166\) | 23.2004 | + | 13.3947i | 1.80070 | + | 1.03963i | ||||
\(167\) | −14.0649 | − | 3.76867i | −1.08837 | − | 0.291629i | −0.330351 | − | 0.943858i | \(-0.607167\pi\) |
−0.758021 | + | 0.652230i | \(0.773834\pi\) | |||||||
\(168\) | −16.4127 | + | 33.9335i | −1.26627 | + | 2.61803i | ||||
\(169\) | 5.93528 | + | 3.42673i | 0.456560 | + | 0.263595i | ||||
\(170\) | 19.1677 | − | 24.7513i | 1.47009 | − | 1.89833i | ||||
\(171\) | −5.71832 | − | 10.9146i | −0.437291 | − | 0.834662i | ||||
\(172\) | 23.9689 | − | 6.42246i | 1.82761 | − | 0.489708i | ||||
\(173\) | 2.44275 | + | 2.44275i | 0.185719 | + | 0.185719i | 0.793843 | − | 0.608123i | \(-0.208077\pi\) |
−0.608123 | + | 0.793843i | \(0.708077\pi\) | |||||||
\(174\) | −1.41214 | − | 5.73824i | −0.107054 | − | 0.435015i | ||||
\(175\) | 13.1813 | − | 1.11930i | 0.996414 | − | 0.0846115i | ||||
\(176\) | −19.0300 | − | 32.9609i | −1.43444 | − | 2.48452i | ||||
\(177\) | −19.9730 | − | 0.409542i | −1.50126 | − | 0.0307830i | ||||
\(178\) | 3.59141 | − | 13.4033i | 0.269187 | − | 1.00462i | ||||
\(179\) | −18.1907 | − | 10.5024i | −1.35964 | − | 0.784987i | −0.370063 | − | 0.929007i | \(-0.620664\pi\) |
−0.989575 | + | 0.144019i | \(0.953997\pi\) | |||||||
\(180\) | 5.98938 | − | 33.6108i | 0.446422 | − | 2.50520i | ||||
\(181\) | − | 0.201277i | − | 0.0149608i | −0.999972 | − | 0.00748040i | \(-0.997619\pi\) | ||
0.999972 | − | 0.00748040i | \(-0.00238111\pi\) | |||||||
\(182\) | 11.1413 | − | 13.4497i | 0.825846 | − | 0.996961i | ||||
\(183\) | −0.228853 | + | 11.1610i | −0.0169173 | + | 0.825043i | ||||
\(184\) | 11.7982 | + | 6.81167i | 0.869771 | + | 0.502163i | ||||
\(185\) | −1.46089 | + | 3.48304i | −0.107407 | + | 0.256078i | ||||
\(186\) | 19.6464 | − | 18.8569i | 1.44055 | − | 1.38266i | ||||
\(187\) | 12.0715 | − | 12.0715i | 0.882756 | − | 0.882756i | ||||
\(188\) | 28.3345 | + | 28.3345i | 2.06651 | + | 2.06651i | ||||
\(189\) | −13.1583 | + | 3.98247i | −0.957123 | + | 0.289682i | ||||
\(190\) | 9.45828 | − | 22.5504i | 0.686176 | − | 1.63597i | ||||
\(191\) | 3.30302 | 0.238998 | 0.119499 | − | 0.992834i | \(-0.461871\pi\) | ||||
0.119499 | + | 0.992834i | \(0.461871\pi\) | |||||||
\(192\) | −0.563067 | + | 27.4603i | −0.0406359 | + | 1.98178i | ||||
\(193\) | 12.3318 | − | 12.3318i | 0.887663 | − | 0.887663i | −0.106636 | − | 0.994298i | \(-0.534008\pi\) |
0.994298 | + | 0.106636i | \(0.0340078\pi\) | |||||||
\(194\) | 6.19924 | − | 10.7374i | 0.445080 | − | 0.770901i | ||||
\(195\) | −3.89465 | + | 8.77666i | −0.278902 | + | 0.628509i | ||||
\(196\) | 23.2434 | + | 26.9983i | 1.66024 | + | 1.92845i | ||||
\(197\) | 16.6554 | + | 16.6554i | 1.18665 | + | 1.18665i | 0.977989 | + | 0.208656i | \(0.0669090\pi\) |
0.208656 | + | 0.977989i | \(0.433091\pi\) | |||||||
\(198\) | 7.73344 | − | 24.7541i | 0.549591 | − | 1.75920i | ||||
\(199\) | −1.33594 | + | 2.31392i | −0.0947025 | + | 0.164030i | −0.909484 | − | 0.415738i | \(-0.863523\pi\) |
0.814782 | + | 0.579768i | \(0.196857\pi\) | |||||||
\(200\) | 35.7991 | − | 20.2466i | 2.53138 | − | 1.43165i | ||||
\(201\) | 9.09225 | + | 9.47292i | 0.641318 | + | 0.668168i | ||||
\(202\) | −24.9363 | − | 6.68167i | −1.75451 | − | 0.470121i | ||||
\(203\) | −3.34241 | − | 0.567552i | −0.234591 | − | 0.0398343i | ||||
\(204\) | −45.0074 | + | 11.0760i | −3.15115 | + | 0.775473i | ||||
\(205\) | −9.94020 | + | 4.06571i | −0.694253 | + | 0.283961i | ||||
\(206\) | 16.7875 | + | 9.69226i | 1.16964 | + | 0.675292i | ||||
\(207\) | 1.08816 | + | 4.84803i | 0.0756327 | + | 0.336961i | ||||
\(208\) | 7.52202 | − | 28.0726i | 0.521558 | − | 1.94648i | ||||
\(209\) | 6.66762 | − | 11.5486i | 0.461209 | − | 0.798837i | ||||
\(210\) | −22.7337 | − | 15.0850i | −1.56877 | − | 1.04096i | ||||
\(211\) | −12.1564 | − | 21.0556i | −0.836884 | − | 1.44953i | −0.892487 | − | 0.451073i | \(-0.851041\pi\) |
0.0556031 | − | 0.998453i | \(-0.482292\pi\) | |||||||
\(212\) | −4.58475 | + | 1.22848i | −0.314882 | + | 0.0843723i | ||||
\(213\) | 22.9581 | + | 0.470750i | 1.57306 | + | 0.0322552i | ||||
\(214\) | −35.3384 | + | 20.4026i | −2.41568 | + | 1.39469i | ||||
\(215\) | 1.37502 | + | 10.8155i | 0.0937759 | + | 0.737613i | ||||
\(216\) | −32.0232 | + | 28.3078i | −2.17890 | + | 1.92610i | ||||
\(217\) | −5.43621 | − | 14.6465i | −0.369034 | − | 0.994272i | ||||
\(218\) | −10.0722 | − | 37.5901i | −0.682178 | − | 2.54592i | ||||
\(219\) | −8.09784 | + | 1.99282i | −0.547202 | + | 0.134662i | ||||
\(220\) | 34.1980 | − | 13.9875i | 2.30563 | − | 0.943040i | ||||
\(221\) | 13.0360 | 0.876899 | ||||||||
\(222\) | 6.82459 | − | 3.75578i | 0.458037 | − | 0.252071i | ||||
\(223\) | −0.589830 | + | 0.158044i | −0.0394979 | + | 0.0105834i | −0.278514 | − | 0.960432i | \(-0.589842\pi\) |
0.239016 | + | 0.971016i | \(0.423175\pi\) | |||||||
\(224\) | 35.4991 | + | 16.2805i | 2.37188 | + | 1.08779i | ||||
\(225\) | 14.2772 | + | 4.60003i | 0.951816 | + | 0.306669i | ||||
\(226\) | 2.72176 | + | 4.71422i | 0.181048 | + | 0.313585i | ||||
\(227\) | 13.1570 | + | 3.52540i | 0.873258 | + | 0.233989i | 0.667496 | − | 0.744613i | \(-0.267366\pi\) |
0.205762 | + | 0.978602i | \(0.434033\pi\) | |||||||
\(228\) | −31.7195 | + | 17.4562i | −2.10068 | + | 1.15607i | ||||
\(229\) | −6.24224 | + | 10.8119i | −0.412499 | + | 0.714469i | −0.995162 | − | 0.0982445i | \(-0.968677\pi\) |
0.582663 | + | 0.812714i | \(0.302011\pi\) | |||||||
\(230\) | −6.03748 | + | 7.79621i | −0.398099 | + | 0.514067i | ||||
\(231\) | −11.2609 | − | 9.72414i | −0.740910 | − | 0.639801i | ||||
\(232\) | −10.1811 | + | 2.72801i | −0.668420 | + | 0.179102i | ||||
\(233\) | −10.4838 | − | 2.80912i | −0.686816 | − | 0.184032i | −0.101498 | − | 0.994836i | \(-0.532364\pi\) |
−0.585318 | + | 0.810804i | \(0.699030\pi\) | |||||||
\(234\) | 17.5417 | − | 9.19033i | 1.14674 | − | 0.600791i | ||||
\(235\) | −14.0151 | + | 10.6556i | −0.914245 | + | 0.695092i | ||||
\(236\) | 58.6995i | 3.82101i | ||||||||
\(237\) | −0.497198 | + | 24.2479i | −0.0322965 | + | 1.57507i | ||||
\(238\) | −6.20091 | + | 36.5182i | −0.401945 | + | 2.36713i | ||||
\(239\) | 17.2957 | − | 9.98570i | 1.11877 | − | 0.645922i | 0.177683 | − | 0.984088i | \(-0.443140\pi\) |
0.941086 | + | 0.338166i | \(0.109807\pi\) | |||||||
\(240\) | −44.8511 | − | 7.04699i | −2.89513 | − | 0.454881i | ||||
\(241\) | −18.6955 | + | 10.7938i | −1.20428 | + | 0.695292i | −0.961504 | − | 0.274790i | \(-0.911392\pi\) |
−0.242777 | + | 0.970082i | \(0.578058\pi\) | |||||||
\(242\) | −1.17990 | + | 0.316153i | −0.0758469 | + | 0.0203231i | ||||
\(243\) | −15.5066 | − | 1.59517i | −0.994751 | − | 0.102330i | ||||
\(244\) | 32.8015 | 2.09990 | ||||||||
\(245\) | −13.1316 | + | 8.51835i | −0.838944 | + | 0.544218i | ||||
\(246\) | 21.2727 | + | 6.17010i | 1.35630 | + | 0.393391i | ||||
\(247\) | 9.83589 | − | 2.63552i | 0.625843 | − | 0.167694i | ||||
\(248\) | −34.3449 | − | 34.3449i | −2.18090 | − | 2.18090i | ||||
\(249\) | 16.9221 | − | 4.16440i | 1.07239 | − | 0.263908i | ||||
\(250\) | 11.0243 | + | 27.6520i | 0.697236 | + | 1.74886i | ||||
\(251\) | − | 12.8119i | − | 0.808681i | −0.914609 | − | 0.404340i | \(-0.867501\pi\) | ||
0.914609 | − | 0.404340i | \(-0.132499\pi\) | |||||||
\(252\) | 12.4919 | + | 38.4152i | 0.786917 | + | 2.41993i | ||||
\(253\) | −3.80231 | + | 3.80231i | −0.239049 | + | 0.239049i | ||||
\(254\) | − | 29.8746i | − | 1.87450i | ||||||
\(255\) | −2.15368 | − | 20.2504i | −0.134868 | − | 1.26813i | ||||
\(256\) | 2.09883 | 0.131177 | ||||||||
\(257\) | 1.02802 | + | 3.83661i | 0.0641258 | + | 0.239321i | 0.990548 | − | 0.137165i | \(-0.0437990\pi\) |
−0.926422 | + | 0.376486i | \(0.877132\pi\) | |||||||
\(258\) | 11.6397 | − | 19.2387i | 0.724658 | − | 1.19775i | ||||
\(259\) | −0.417692 | − | 4.44945i | −0.0259541 | − | 0.276476i | ||||
\(260\) | 26.0178 | + | 10.9126i | 1.61356 | + | 0.676774i | ||||
\(261\) | −3.24757 | − | 2.05695i | −0.201020 | − | 0.127322i | ||||
\(262\) | 1.50185 | + | 5.60498i | 0.0927846 | + | 0.346277i | ||||
\(263\) | 9.34376 | + | 2.50365i | 0.576161 | + | 0.154382i | 0.535121 | − | 0.844776i | \(-0.320266\pi\) |
0.0410401 | + | 0.999157i | \(0.486933\pi\) | |||||||
\(264\) | −44.4255 | − | 12.8855i | −2.73420 | − | 0.793048i | ||||
\(265\) | −0.263013 | − | 2.06878i | −0.0161568 | − | 0.127084i | ||||
\(266\) | 2.70427 | + | 28.8072i | 0.165810 | + | 1.76628i | ||||
\(267\) | −4.35212 | − | 7.90819i | −0.266345 | − | 0.483973i | ||||
\(268\) | 27.2810 | − | 27.2810i | 1.66645 | − | 1.66645i | ||||
\(269\) | 5.74781 | − | 9.95550i | 0.350450 | − | 0.606997i | −0.635878 | − | 0.771789i | \(-0.719362\pi\) |
0.986328 | + | 0.164792i | \(0.0526953\pi\) | |||||||
\(270\) | −17.1745 | − | 25.7312i | −1.04520 | − | 1.56595i | ||||
\(271\) | −13.4313 | + | 7.75459i | −0.815896 | + | 0.471058i | −0.848999 | − | 0.528394i | \(-0.822794\pi\) |
0.0331030 | + | 0.999452i | \(0.489461\pi\) | |||||||
\(272\) | 15.9533 | + | 59.5385i | 0.967310 | + | 3.61005i | ||||
\(273\) | −0.829750 | − | 11.3309i | −0.0502188 | − | 0.685776i | ||||
\(274\) | 13.7818 | − | 7.95695i | 0.832592 | − | 0.480697i | ||||
\(275\) | 4.06204 | + | 15.7172i | 0.244950 | + | 0.947783i | ||||
\(276\) | 14.1765 | − | 3.48874i | 0.853327 | − | 0.209997i | ||||
\(277\) | 4.71272 | − | 17.5881i | 0.283160 | − | 1.05677i | −0.667013 | − | 0.745046i | \(-0.732428\pi\) |
0.950173 | − | 0.311722i | \(-0.100906\pi\) | |||||||
\(278\) | 3.15869 | − | 11.7884i | 0.189445 | − | 0.707020i | ||||
\(279\) | 0.726164 | − | 17.6998i | 0.0434743 | − | 1.05966i | ||||
\(280\) | −26.0691 | + | 41.0914i | −1.55792 | + | 2.45568i | ||||
\(281\) | 14.2285 | − | 24.6445i | 0.848801 | − | 1.47017i | −0.0334773 | − | 0.999439i | \(-0.510658\pi\) |
0.882279 | − | 0.470728i | \(-0.156009\pi\) | |||||||
\(282\) | 36.3030 | + | 0.744384i | 2.16181 | + | 0.0443274i | ||||
\(283\) | 15.9098 | + | 15.9098i | 0.945737 | + | 0.945737i | 0.998602 | − | 0.0528651i | \(-0.0168353\pi\) |
−0.0528651 | + | 0.998602i | \(0.516835\pi\) | |||||||
\(284\) | − | 67.4724i | − | 4.00375i | ||||||
\(285\) | −5.71904 | − | 14.8438i | −0.338767 | − | 0.879273i | ||||
\(286\) | 18.5607 | + | 10.7160i | 1.09752 | + | 0.633651i | ||||
\(287\) | 8.10620 | − | 9.78581i | 0.478494 | − | 0.577638i | ||||
\(288\) | 30.0032 | + | 32.5704i | 1.76796 | + | 1.91923i | ||||
\(289\) | −9.22132 | + | 5.32393i | −0.542431 | + | 0.313173i | ||||
\(290\) | −0.962169 | − | 7.56814i | −0.0565005 | − | 0.444416i | ||||
\(291\) | −1.92733 | − | 7.83175i | −0.112982 | − | 0.459105i | ||||
\(292\) | 6.34210 | + | 23.6690i | 0.371143 | + | 1.38513i | ||||
\(293\) | −3.47926 | + | 12.9848i | −0.203260 | + | 0.758578i | 0.786712 | + | 0.617320i | \(0.211781\pi\) |
−0.989973 | + | 0.141258i | \(0.954885\pi\) | |||||||
\(294\) | 32.1362 | + | 3.06540i | 1.87422 | + | 0.178778i | ||||
\(295\) | −25.5546 | − | 3.47993i | −1.48785 | − | 0.202609i | ||||
\(296\) | −6.94703 | − | 12.0326i | −0.403788 | − | 0.699381i | ||||
\(297\) | −7.52124 | − | 15.1011i | −0.436427 | − | 0.876256i | ||||
\(298\) | −6.86620 | − | 25.6250i | −0.397748 | − | 1.48442i | ||||
\(299\) | −4.10613 | −0.237463 | ||||||||
\(300\) | 12.6535 | − | 42.2194i | 0.730551 | − | 2.43754i | ||||
\(301\) | −7.46599 | − | 10.5201i | −0.430332 | − | 0.606367i | ||||
\(302\) | −2.26539 | + | 8.45456i | −0.130359 | + | 0.486505i | ||||
\(303\) | −14.7129 | + | 8.09694i | −0.845233 | + | 0.465157i | ||||
\(304\) | 24.0740 | + | 41.6974i | 1.38074 | + | 2.39151i | ||||
\(305\) | −1.94459 | + | 14.2800i | −0.111347 | + | 0.817670i | ||||
\(306\) | −22.4736 | + | 35.4821i | −1.28473 | + | 2.02838i | ||||
\(307\) | 3.65322 | − | 3.65322i | 0.208501 | − | 0.208501i | −0.595129 | − | 0.803630i | \(-0.702899\pi\) |
0.803630 | + | 0.595129i | \(0.202899\pi\) | |||||||
\(308\) | −27.8883 | + | 33.6668i | −1.58909 | + | 1.91835i | ||||
\(309\) | 12.2446 | − | 3.01331i | 0.696572 | − | 0.171421i | ||||
\(310\) | 27.9859 | − | 21.2774i | 1.58949 | − | 1.20848i | ||||
\(311\) | 6.84501i | 0.388145i | 0.980987 | + | 0.194072i | \(0.0621697\pi\) | ||||
−0.980987 | + | 0.194072i | \(0.937830\pi\) | |||||||
\(312\) | −17.0300 | − | 30.9451i | −0.964137 | − | 1.75192i | ||||
\(313\) | 9.50122 | + | 9.50122i | 0.537041 | + | 0.537041i | 0.922659 | − | 0.385618i | \(-0.126012\pi\) |
−0.385618 | + | 0.922659i | \(0.626012\pi\) | |||||||
\(314\) | 29.4256 | 1.66058 | ||||||||
\(315\) | −17.4645 | + | 3.16091i | −0.984013 | + | 0.178097i | ||||
\(316\) | 71.2632 | 4.00887 | ||||||||
\(317\) | 7.48205 | + | 7.48205i | 0.420234 | + | 0.420234i | 0.885284 | − | 0.465050i | \(-0.153964\pi\) |
−0.465050 | + | 0.885284i | \(0.653964\pi\) | |||||||
\(318\) | −2.22643 | + | 3.67995i | −0.124852 | + | 0.206361i | ||||
\(319\) | − | 4.16034i | − | 0.232934i | ||||||
\(320\) | −4.78445 | + | 35.1343i | −0.267459 | + | 1.96407i | ||||
\(321\) | −7.39440 | + | 25.4938i | −0.412715 | + | 1.42292i | ||||
\(322\) | 1.95318 | − | 11.5026i | 0.108846 | − | 0.641015i | ||||
\(323\) | −15.2711 | + | 15.2711i | −0.849708 | + | 0.849708i | ||||
\(324\) | −3.75206 | + | 45.6500i | −0.208448 | + | 2.53611i | ||||
\(325\) | −6.29322 | + | 10.6798i | −0.349085 | + | 0.592410i | ||||
\(326\) | −5.64969 | − | 9.78554i | −0.312907 | − | 0.541971i | ||||
\(327\) | −21.6598 | − | 13.1046i | −1.19779 | − | 0.724685i | ||||
\(328\) | 10.2250 | − | 38.1602i | 0.564580 | − | 2.10704i | ||||
\(329\) | 8.68399 | − | 18.9351i | 0.478764 | − | 1.04393i | ||||
\(330\) | 13.5800 | − | 30.6029i | 0.747557 | − | 1.68463i | ||||
\(331\) | −31.1932 | −1.71453 | −0.857265 | − | 0.514875i | \(-0.827838\pi\) | ||||
−0.857265 | + | 0.514875i | \(0.827838\pi\) | |||||||
\(332\) | −13.2531 | − | 49.4613i | −0.727359 | − | 2.71454i | ||||
\(333\) | 1.51108 | − | 4.83684i | 0.0828067 | − | 0.265057i | ||||
\(334\) | 19.3849 | + | 33.5757i | 1.06070 | + | 1.83718i | ||||
\(335\) | 10.2594 | + | 13.4940i | 0.560528 | + | 0.737255i | ||||
\(336\) | 50.7352 | − | 17.6562i | 2.76783 | − | 0.963223i | ||||
\(337\) | −2.16239 | + | 8.07017i | −0.117793 | + | 0.439610i | −0.999481 | − | 0.0322238i | \(-0.989741\pi\) |
0.881688 | + | 0.471834i | \(0.156408\pi\) | |||||||
\(338\) | −4.72290 | − | 17.6261i | −0.256892 | − | 0.958734i | ||||
\(339\) | 3.40093 | + | 0.986430i | 0.184713 | + | 0.0535755i | ||||
\(340\) | −59.3601 | + | 7.54669i | −3.21925 | + | 0.409277i | ||||
\(341\) | 16.6030 | − | 9.58577i | 0.899105 | − | 0.519099i | ||||
\(342\) | −9.78322 | + | 31.3153i | −0.529016 | + | 1.69334i | ||||
\(343\) | 8.95370 | − | 16.2121i | 0.483454 | − | 0.875370i | ||||
\(344\) | −34.7329 | − | 20.0531i | −1.87267 | − | 1.08119i | ||||
\(345\) | 0.678371 | + | 6.37853i | 0.0365222 | + | 0.343409i | ||||
\(346\) | − | 9.19808i | − | 0.494492i | ||||||
\(347\) | 4.16666 | + | 4.16666i | 0.223678 | + | 0.223678i | 0.810045 | − | 0.586367i | \(-0.199443\pi\) |
−0.586367 | + | 0.810045i | \(0.699443\pi\) | |||||||
\(348\) | −5.84708 | + | 9.66432i | −0.313437 | + | 0.518062i | ||||
\(349\) | −12.9224 | + | 22.3822i | −0.691719 | + | 1.19809i | 0.279555 | + | 0.960130i | \(0.409813\pi\) |
−0.971274 | + | 0.237963i | \(0.923520\pi\) | |||||||
\(350\) | −26.9242 | − | 22.7095i | −1.43916 | − | 1.21387i | ||||
\(351\) | 4.09277 | − | 12.2150i | 0.218456 | − | 0.651987i | ||||
\(352\) | −12.4040 | + | 46.2924i | −0.661136 | + | 2.46739i | ||||
\(353\) | 2.86063 | − | 10.6760i | 0.152256 | − | 0.568227i | −0.847069 | − | 0.531484i | \(-0.821635\pi\) |
0.999325 | − | 0.0367439i | \(-0.0116986\pi\) | |||||||
\(354\) | 36.8327 | + | 38.3748i | 1.95763 | + | 2.03960i | ||||
\(355\) | 29.3739 | + | 4.00002i | 1.55900 | + | 0.212299i | ||||
\(356\) | −22.9698 | + | 13.2616i | −1.21740 | + | 0.702864i | ||||
\(357\) | 13.5397 | + | 19.9319i | 0.716599 | + | 1.05491i | ||||
\(358\) | 14.4750 | + | 54.0214i | 0.765026 | + | 2.85512i | ||||
\(359\) | −10.9640 | + | 6.33009i | −0.578660 | + | 0.334089i | −0.760601 | − | 0.649220i | \(-0.775095\pi\) |
0.181941 | + | 0.983309i | \(0.441762\pi\) | |||||||
\(360\) | −45.2572 | + | 31.5672i | −2.38526 | + | 1.66374i | ||||
\(361\) | 1.06510 | − | 1.84480i | 0.0560578 | − | 0.0970950i | ||||
\(362\) | −0.378950 | + | 0.378950i | −0.0199172 | + | 0.0199172i | ||||
\(363\) | −0.411334 | + | 0.679872i | −0.0215895 | + | 0.0356840i | ||||
\(364\) | −33.2368 | + | 3.12010i | −1.74208 | + | 0.163538i | ||||
\(365\) | −10.6802 | + | 1.35782i | −0.559028 | + | 0.0710716i | ||||
\(366\) | 21.4440 | − | 20.5822i | 1.12089 | − | 1.07585i | ||||
\(367\) | 8.52213 | + | 2.28350i | 0.444851 | + | 0.119198i | 0.474289 | − | 0.880369i | \(-0.342705\pi\) |
−0.0294379 | + | 0.999567i | \(0.509372\pi\) | |||||||
\(368\) | −5.02501 | − | 18.7536i | −0.261947 | − | 0.977598i | ||||
\(369\) | 12.7630 | − | 6.68673i | 0.664417 | − | 0.348097i | ||||
\(370\) | 9.30808 | − | 3.80716i | 0.483904 | − | 0.197925i | ||||
\(371\) | 1.42808 | + | 2.01227i | 0.0741425 | + | 0.104472i | ||||
\(372\) | −52.0404 | − | 1.06708i | −2.69817 | − | 0.0553254i | ||||
\(373\) | −3.52250 | − | 13.1461i | −0.182388 | − | 0.680681i | −0.995175 | − | 0.0981196i | \(-0.968717\pi\) |
0.812787 | − | 0.582561i | \(-0.197949\pi\) | |||||||
\(374\) | −45.4547 | −2.35041 | ||||||||
\(375\) | 17.6299 | + | 8.01159i | 0.910406 | + | 0.413717i | ||||
\(376\) | − | 64.7645i | − | 3.33997i | ||||||
\(377\) | 2.24638 | − | 2.24638i | 0.115695 | − | 0.115695i | ||||
\(378\) | 32.2713 | + | 17.2755i | 1.65986 | + | 0.888558i | ||||
\(379\) | 16.2026i | 0.832272i | 0.909302 | + | 0.416136i | \(0.136616\pi\) | ||||
−0.909302 | + | 0.416136i | \(0.863384\pi\) | |||||||
\(380\) | −43.2623 | + | 17.6950i | −2.21931 | + | 0.907735i | ||||
\(381\) | −13.4573 | − | 14.0207i | −0.689436 | − | 0.718301i | ||||
\(382\) | −6.21869 | − | 6.21869i | −0.318176 | − | 0.318176i | ||||
\(383\) | −8.15588 | + | 2.18536i | −0.416746 | + | 0.111667i | −0.461098 | − | 0.887349i | \(-0.652544\pi\) |
0.0443519 | + | 0.999016i | \(0.485878\pi\) | |||||||
\(384\) | 15.8695 | − | 15.2318i | 0.809836 | − | 0.777293i | ||||
\(385\) | −13.0034 | − | 14.1370i | −0.662715 | − | 0.720488i | ||||
\(386\) | −46.4348 | −2.36347 | ||||||||
\(387\) | −3.20348 | − | 14.2723i | −0.162842 | − | 0.725500i | ||||
\(388\) | −22.8913 | + | 6.13370i | −1.16213 | + | 0.311392i | ||||
\(389\) | −9.49100 | + | 5.47963i | −0.481213 | + | 0.277828i | −0.720922 | − | 0.693016i | \(-0.756281\pi\) |
0.239709 | + | 0.970845i | \(0.422948\pi\) | |||||||
\(390\) | 23.8566 | − | 9.19149i | 1.20803 | − | 0.465429i | ||||
\(391\) | 7.54187 | − | 4.35430i | 0.381409 | − | 0.220206i | ||||
\(392\) | 4.29131 | − | 57.4189i | 0.216744 | − | 2.90009i | ||||
\(393\) | 3.22965 | + | 1.95400i | 0.162914 | + | 0.0985661i | ||||
\(394\) | − | 62.7150i | − | 3.15954i | ||||||
\(395\) | −4.22475 | + | 31.0242i | −0.212570 | + | 1.56100i | ||||
\(396\) | −43.9096 | + | 23.0048i | −2.20654 | + | 1.15604i | ||||
\(397\) | −29.1302 | − | 7.80541i | −1.46200 | − | 0.391742i | −0.561821 | − | 0.827259i | \(-0.689899\pi\) |
−0.900181 | + | 0.435517i | \(0.856566\pi\) | |||||||
\(398\) | 6.87170 | − | 1.84127i | 0.344447 | − | 0.0922944i | ||||
\(399\) | 14.2456 | + | 12.3016i | 0.713172 | + | 0.615849i | ||||
\(400\) | −56.4786 | − | 15.6727i | −2.82393 | − | 0.783636i | ||||
\(401\) | −8.34982 | + | 14.4623i | −0.416970 | + | 0.722214i | −0.995633 | − | 0.0933531i | \(-0.970241\pi\) |
0.578663 | + | 0.815567i | \(0.303575\pi\) | |||||||
\(402\) | 0.716706 | − | 34.9532i | 0.0357461 | − | 1.74330i | ||||
\(403\) | 14.1407 | + | 3.78898i | 0.704398 | + | 0.188743i | ||||
\(404\) | 24.6727 | + | 42.7344i | 1.22751 | + | 2.12611i | ||||
\(405\) | −19.6511 | − | 4.33975i | −0.976472 | − | 0.215644i | ||||
\(406\) | 5.22430 | + | 7.36139i | 0.259278 | + | 0.365340i | ||||
\(407\) | 5.29727 | − | 1.41940i | 0.262576 | − | 0.0703570i | ||||
\(408\) | 64.0951 | + | 38.7787i | 3.17318 | + | 1.91983i | ||||
\(409\) | −33.2727 | −1.64523 | −0.822615 | − | 0.568599i | \(-0.807486\pi\) | ||||
−0.822615 | + | 0.568599i | \(0.807486\pi\) | |||||||
\(410\) | 26.3693 | + | 11.0601i | 1.30229 | + | 0.546218i | ||||
\(411\) | 2.88379 | − | 9.94248i | 0.142247 | − | 0.490426i | ||||
\(412\) | −9.58979 | − | 35.7896i | −0.472455 | − | 1.76323i | ||||
\(413\) | 28.6087 | − | 10.6184i | 1.40774 | − | 0.522497i | ||||
\(414\) | 7.07880 | − | 11.1762i | 0.347904 | − | 0.549282i | ||||
\(415\) | 22.3185 | − | 2.83744i | 1.09557 | − | 0.139285i | ||||
\(416\) | −31.6932 | + | 18.2981i | −1.55389 | + | 0.897137i | ||||
\(417\) | −3.82774 | − | 6.95535i | −0.187445 | − | 0.340605i | ||||
\(418\) | −34.2963 | + | 9.18966i | −1.67748 | + | 0.449481i | ||||
\(419\) | 4.11539 | + | 7.12806i | 0.201050 | + | 0.348229i | 0.948867 | − | 0.315676i | \(-0.102231\pi\) |
−0.747817 | + | 0.663905i | \(0.768898\pi\) | |||||||
\(420\) | 10.3378 | + | 51.1151i | 0.504435 | + | 2.49416i | ||||
\(421\) | −8.05440 | + | 13.9506i | −0.392547 | + | 0.679912i | −0.992785 | − | 0.119910i | \(-0.961739\pi\) |
0.600237 | + | 0.799822i | \(0.295073\pi\) | |||||||
\(422\) | −16.7546 | + | 62.5292i | −0.815603 | + | 3.04387i | ||||
\(423\) | 17.3730 | − | 16.0036i | 0.844702 | − | 0.778123i | ||||
\(424\) | 6.64367 | + | 3.83572i | 0.322645 | + | 0.186279i | ||||
\(425\) | 0.233663 | − | 26.2896i | 0.0113343 | − | 1.27523i | ||||
\(426\) | −42.3375 | − | 44.1101i | −2.05126 | − | 2.13714i | ||||
\(427\) | −5.93360 | − | 15.9866i | −0.287147 | − | 0.773647i | ||||
\(428\) | 75.3386 | + | 20.1869i | 3.64163 | + | 0.975771i | ||||
\(429\) | 13.5380 | − | 3.33159i | 0.653619 | − | 0.160851i | ||||
\(430\) | 17.7739 | − | 22.9515i | 0.857134 | − | 1.10682i | ||||
\(431\) | −1.02670 | + | 1.77830i | −0.0494545 | + | 0.0856577i | −0.889693 | − | 0.456559i | \(-0.849082\pi\) |
0.840238 | + | 0.542217i | \(0.182415\pi\) | |||||||
\(432\) | 60.7971 | + | 3.74409i | 2.92510 | + | 0.180138i | ||||
\(433\) | 11.6437 | + | 11.6437i | 0.559558 | + | 0.559558i | 0.929182 | − | 0.369623i | \(-0.120513\pi\) |
−0.369623 | + | 0.929182i | \(0.620513\pi\) | |||||||
\(434\) | −17.3405 | + | 37.8104i | −0.832373 | + | 1.81496i | ||||
\(435\) | −3.86069 | − | 3.11844i | −0.185106 | − | 0.149518i | ||||
\(436\) | −37.1927 | + | 64.4196i | −1.78121 | + | 3.08514i | ||||
\(437\) | 4.81014 | − | 4.81014i | 0.230100 | − | 0.230100i | ||||
\(438\) | 18.9980 | + | 11.4941i | 0.907758 | + | 0.549209i | ||||
\(439\) | −30.6499 | −1.46284 | −0.731419 | − | 0.681928i | \(-0.761142\pi\) | ||||
−0.731419 | + | 0.681928i | \(0.761142\pi\) | |||||||
\(440\) | −55.0690 | − | 23.0976i | −2.62531 | − | 1.10113i | ||||
\(441\) | 16.4629 | − | 13.0373i | 0.783948 | − | 0.620826i | ||||
\(442\) | −24.5433 | − | 24.5433i | −1.16741 | − | 1.16741i | ||||
\(443\) | 1.40384 | − | 1.40384i | 0.0666982 | − | 0.0666982i | −0.672971 | − | 0.739669i | \(-0.734982\pi\) |
0.739669 | + | 0.672971i | \(0.234982\pi\) | |||||||
\(444\) | −14.3002 | − | 4.14775i | −0.678660 | − | 0.196844i | ||||
\(445\) | −4.41166 | − | 10.7860i | −0.209133 | − | 0.511306i | ||||
\(446\) | 1.40804 | + | 0.812934i | 0.0666728 | + | 0.0384935i | ||||
\(447\) | −14.7654 | − | 8.93333i | −0.698380 | − | 0.422532i | ||||
\(448\) | −14.5989 | − | 39.3333i | −0.689735 | − | 1.85832i | ||||
\(449\) | − | 40.8996i | − | 1.93017i | −0.261932 | − | 0.965086i | \(-0.584360\pi\) | ||
0.261932 | − | 0.965086i | \(-0.415640\pi\) | |||||||
\(450\) | −18.2196 | − | 35.5408i | −0.858878 | − | 1.67541i | ||||
\(451\) | 13.5044 | + | 7.79679i | 0.635899 | + | 0.367136i | ||||
\(452\) | 2.69298 | − | 10.0503i | 0.126667 | − | 0.472728i | ||||
\(453\) | 2.74523 | + | 4.98834i | 0.128982 | + | 0.234372i | ||||
\(454\) | −18.1336 | − | 31.4083i | −0.851052 | − | 1.47407i | ||||
\(455\) | 0.612078 | − | 14.6545i | 0.0286947 | − | 0.687013i | ||||
\(456\) | 56.2007 | + | 16.3009i | 2.63184 | + | 0.763358i | ||||
\(457\) | 11.0274 | + | 11.0274i | 0.515841 | + | 0.515841i | 0.916310 | − | 0.400469i | \(-0.131153\pi\) |
−0.400469 | + | 0.916310i | \(0.631153\pi\) | |||||||
\(458\) | 32.1083 | − | 8.60338i | 1.50032 | − | 0.402010i | ||||
\(459\) | 5.43591 | + | 26.7758i | 0.253727 | + | 1.24979i | ||||
\(460\) | 18.6974 | − | 2.37708i | 0.871770 | − | 0.110832i | ||||
\(461\) | 1.09619 | + | 0.632884i | 0.0510546 | + | 0.0294764i | 0.525310 | − | 0.850911i | \(-0.323949\pi\) |
−0.474255 | + | 0.880387i | \(0.657283\pi\) | |||||||
\(462\) | 2.89321 | + | 39.5090i | 0.134604 | + | 1.83813i | ||||
\(463\) | 15.0434 | + | 4.03088i | 0.699128 | + | 0.187331i | 0.590840 | − | 0.806789i | \(-0.298796\pi\) |
0.108288 | + | 0.994120i | \(0.465463\pi\) | |||||||
\(464\) | 13.0088 | + | 7.51063i | 0.603918 | + | 0.348672i | ||||
\(465\) | 3.54970 | − | 22.5924i | 0.164613 | − | 1.04770i | ||||
\(466\) | 14.4493 | + | 25.0269i | 0.669351 | + | 1.15935i | ||||
\(467\) | 18.6379 | + | 4.99402i | 0.862460 | + | 0.231096i | 0.662825 | − | 0.748775i | \(-0.269357\pi\) |
0.199636 | + | 0.979870i | \(0.436024\pi\) | |||||||
\(468\) | −36.1305 | − | 11.2876i | −1.67013 | − | 0.521767i | ||||
\(469\) | −18.2310 | − | 8.36110i | −0.841831 | − | 0.386080i | ||||
\(470\) | 46.4481 | + | 6.32512i | 2.14249 | + | 0.291756i | ||||
\(471\) | 13.8099 | − | 13.2550i | 0.636329 | − | 0.610758i | ||||
\(472\) | 67.0849 | − | 67.0849i | 3.08783 | − | 3.08783i | ||||
\(473\) | 11.1937 | − | 11.1937i | 0.514689 | − | 0.514689i | ||||
\(474\) | 46.5883 | − | 44.7161i | 2.13987 | − | 2.05388i | ||||
\(475\) | −5.13871 | − | 19.8831i | −0.235780 | − | 0.912300i | ||||
\(476\) | 57.7385 | − | 40.9764i | 2.64644 | − | 1.87815i | ||||
\(477\) | 0.612757 | + | 2.72998i | 0.0280562 | + | 0.124997i | ||||
\(478\) | −51.3635 | − | 13.7628i | −2.34931 | − | 0.629497i | ||||
\(479\) | 10.5736 | + | 18.3141i | 0.483122 | + | 0.836792i | 0.999812 | − | 0.0193802i | \(-0.00616931\pi\) |
−0.516690 | + | 0.856173i | \(0.672836\pi\) | |||||||
\(480\) | 33.6605 | + | 46.2097i | 1.53639 | + | 2.10918i | ||||
\(481\) | 3.62668 | + | 2.09386i | 0.165362 | + | 0.0954719i | ||||
\(482\) | 55.5203 | + | 14.8766i | 2.52888 | + | 0.677612i | ||||
\(483\) | −4.26478 | − | 6.27820i | −0.194054 | − | 0.285668i | ||||
\(484\) | 2.02204 | + | 1.16743i | 0.0919110 | + | 0.0530648i | ||||
\(485\) | −1.31320 | − | 10.3293i | −0.0596295 | − | 0.469028i | ||||
\(486\) | 26.1915 | + | 32.1980i | 1.18807 | + | 1.46053i | ||||
\(487\) | −27.2102 | + | 7.29096i | −1.23301 | + | 0.330385i | −0.815752 | − | 0.578402i | \(-0.803677\pi\) |
−0.417261 | + | 0.908787i | \(0.637010\pi\) | |||||||
\(488\) | −37.4873 | − | 37.4873i | −1.69697 | − | 1.69697i | ||||
\(489\) | −7.05947 | − | 2.04758i | −0.319240 | − | 0.0925949i | ||||
\(490\) | 40.7609 | + | 8.68540i | 1.84139 | + | 0.392366i | ||||
\(491\) | 10.5786 | + | 18.3227i | 0.477406 | + | 0.826891i | 0.999665 | − | 0.0258958i | \(-0.00824380\pi\) |
−0.522259 | + | 0.852787i | \(0.674910\pi\) | |||||||
\(492\) | −20.4125 | − | 37.0913i | −0.920264 | − | 1.67220i | ||||
\(493\) | −1.74386 | + | 6.50816i | −0.0785393 | + | 0.293113i | ||||
\(494\) | −23.4803 | − | 13.5563i | −1.05643 | − | 0.609929i | ||||
\(495\) | −7.41195 | − | 20.4797i | −0.333142 | − | 0.920494i | ||||
\(496\) | 69.2205i | 3.10809i | ||||||||
\(497\) | −32.8844 | + | 12.2054i | −1.47507 | + | 0.547485i | ||||
\(498\) | −39.7001 | − | 24.0193i | −1.77901 | − | 1.07633i | ||||
\(499\) | 30.3388 | + | 17.5161i | 1.35815 | + | 0.784129i | 0.989375 | − | 0.145389i | \(-0.0464434\pi\) |
0.368777 | + | 0.929518i | \(0.379777\pi\) | |||||||
\(500\) | 22.4737 | − | 52.2741i | 1.00506 | − | 2.33777i | ||||
\(501\) | 24.2221 | + | 7.02557i | 1.08217 | + | 0.313879i | ||||
\(502\) | −24.1213 | + | 24.1213i | −1.07659 | + | 1.07659i | ||||
\(503\) | −6.90849 | − | 6.90849i | −0.308034 | − | 0.308034i | 0.536112 | − | 0.844147i | \(-0.319892\pi\) |
−0.844147 | + | 0.536112i | \(0.819892\pi\) | |||||||
\(504\) | 29.6266 | − | 58.1795i | 1.31967 | − | 2.59152i | ||||
\(505\) | −20.0669 | + | 8.20772i | −0.892967 | + | 0.365239i | ||||
\(506\) | 14.3174 | 0.636488 | ||||||||
\(507\) | −10.1564 | − | 6.14478i | −0.451060 | − | 0.272899i | ||||
\(508\) | −40.3780 | + | 40.3780i | −1.79148 | + | 1.79148i | ||||
\(509\) | −7.79255 | + | 13.4971i | −0.345399 | + | 0.598248i | −0.985426 | − | 0.170104i | \(-0.945590\pi\) |
0.640027 | + | 0.768352i | \(0.278923\pi\) | |||||||
\(510\) | −34.0712 | + | 42.1808i | −1.50870 | + | 1.86780i | ||||
\(511\) | 10.3885 | − | 7.37258i | 0.459558 | − | 0.326144i | ||||
\(512\) | 14.0086 | + | 14.0086i | 0.619097 | + | 0.619097i | ||||
\(513\) | 9.51479 | + | 19.1038i | 0.420088 | + | 0.843451i | ||||
\(514\) | 5.28781 | − | 9.15875i | 0.233235 | − | 0.403975i | ||||
\(515\) | 16.1494 | − | 2.05314i | 0.711627 | − | 0.0904721i | ||||
\(516\) | −41.7347 | + | 10.2706i | −1.83727 | + | 0.452138i | ||||
\(517\) | 24.6922 | + | 6.61626i | 1.08596 | + | 0.290983i | ||||
\(518\) | −7.59071 | + | 9.16351i | −0.333517 | + | 0.402622i | ||||
\(519\) | −4.14335 | − | 4.31682i | −0.181873 | − | 0.189487i | ||||
\(520\) | −17.2630 | − | 42.2062i | −0.757034 | − | 1.85086i | ||||
\(521\) | 6.39069 | + | 3.68966i | 0.279981 | + | 0.161647i | 0.633415 | − | 0.773812i | \(-0.281653\pi\) |
−0.353434 | + | 0.935460i | \(0.614986\pi\) | |||||||
\(522\) | 2.24163 | + | 9.98697i | 0.0981133 | + | 0.437118i | ||||
\(523\) | 3.68214 | − | 13.7419i | 0.161009 | − | 0.600893i | −0.837507 | − | 0.546427i | \(-0.815988\pi\) |
0.998516 | − | 0.0544664i | \(-0.0173458\pi\) | |||||||
\(524\) | 5.54572 | − | 9.60547i | 0.242266 | − | 0.419617i | ||||
\(525\) | −22.8657 | + | 1.47024i | −0.997939 | + | 0.0641667i | ||||
\(526\) | −12.8781 | − | 22.3054i | −0.561510 | − | 0.972563i | ||||
\(527\) | −29.9907 | + | 8.03597i | −1.30641 | + | 0.350053i | ||||
\(528\) | 31.7836 | + | 57.7537i | 1.38320 | + | 2.51341i | ||||
\(529\) | 17.5430 | − | 10.1285i | 0.762740 | − | 0.440368i | ||||
\(530\) | −3.39977 | + | 4.39013i | −0.147677 | + | 0.190695i | ||||
\(531\) | 34.5724 | + | 1.41840i | 1.50032 | + | 0.0615531i | ||||
\(532\) | 35.2803 | − | 42.5904i | 1.52959 | − | 1.84653i | ||||
\(533\) | 3.08185 | + | 11.5016i | 0.133490 | + | 0.498191i | ||||
\(534\) | −6.69511 | + | 23.0828i | −0.289726 | + | 0.998891i | ||||
\(535\) | −13.2547 | + | 31.6016i | −0.573049 | + | 1.36626i | ||||
\(536\) | −62.3563 | −2.69338 | ||||||||
\(537\) | 31.1277 | + | 18.8328i | 1.34326 | + | 0.812696i | ||||
\(538\) | −29.5650 | + | 7.92193i | −1.27464 | + | 0.341539i | ||||
\(539\) | 21.4532 | + | 7.50195i | 0.924056 | + | 0.323132i | ||||
\(540\) | −11.5652 | + | 57.9906i | −0.497686 | + | 2.49552i | ||||
\(541\) | −5.68482 | − | 9.84640i | −0.244410 | − | 0.423330i | 0.717556 | − | 0.696501i | \(-0.245261\pi\) |
−0.961965 | + | 0.273171i | \(0.911927\pi\) | |||||||
\(542\) | 39.8873 | + | 10.6878i | 1.71331 | + | 0.459080i | ||||
\(543\) | −0.00714691 | + | 0.348549i | −0.000306703 | + | 0.0149577i | ||||
\(544\) | 38.8080 | − | 67.2174i | 1.66388 | − | 2.88192i | ||||
\(545\) | −25.8399 | − | 20.0107i | −1.10686 | − | 0.857165i | ||||
\(546\) | −19.7708 | + | 22.8951i | −0.846110 | + | 0.979822i | ||||
\(547\) | 3.03334 | − | 0.812782i | 0.129696 | − | 0.0347520i | −0.193387 | − | 0.981123i | \(-0.561947\pi\) |
0.323083 | + | 0.946371i | \(0.395281\pi\) | |||||||
\(548\) | −29.3818 | − | 7.87283i | −1.25513 | − | 0.336310i | ||||
\(549\) | 0.792604 | − | 19.3192i | 0.0338275 | − | 0.824523i | ||||
\(550\) | 21.9435 | − | 37.2389i | 0.935673 | − | 1.58787i | ||||
\(551\) | 5.26306i | 0.224214i | ||||||||
\(552\) | −20.1888 | − | 12.2146i | −0.859294 | − | 0.519888i | ||||
\(553\) | −12.8911 | − | 34.7319i | −0.548185 | − | 1.47695i | ||||
\(554\) | −41.9864 | + | 24.2409i | −1.78383 | + | 1.02990i | ||||
\(555\) | 2.65348 | − | 5.97967i | 0.112634 | − | 0.253823i | ||||
\(556\) | −20.2022 | + | 11.6637i | −0.856764 | + | 0.494653i | ||||
\(557\) | −7.65002 | + | 2.04982i | −0.324142 | + | 0.0868536i | −0.417221 | − | 0.908805i | \(-0.636996\pi\) |
0.0930788 | + | 0.995659i | \(0.470329\pi\) | |||||||
\(558\) | −34.6910 | + | 31.9567i | −1.46859 | + | 1.35283i | ||||
\(559\) | 12.0881 | 0.511274 | ||||||||
\(560\) | 67.6793 | − | 15.1384i | 2.85997 | − | 0.639715i | ||||
\(561\) | −21.3327 | + | 20.4754i | −0.900667 | + | 0.864473i | ||||
\(562\) | −73.1873 | + | 19.6105i | −3.08722 | + | 0.827218i | ||||
\(563\) | 12.1050 | + | 12.1050i | 0.510163 | + | 0.510163i | 0.914576 | − | 0.404413i | \(-0.132524\pi\) |
−0.404413 | + | 0.914576i | \(0.632524\pi\) | |||||||
\(564\) | −48.0604 | − | 50.0726i | −2.02371 | − | 2.10844i | ||||
\(565\) | 4.21573 | + | 1.76820i | 0.177357 | + | 0.0743888i | ||||
\(566\) | − | 59.9075i | − | 2.51810i | ||||||
\(567\) | 22.9274 | − | 6.42916i | 0.962860 | − | 0.269999i | ||||
\(568\) | −77.1111 | + | 77.1111i | −3.23551 | + | 3.23551i | ||||
\(569\) | 7.68028i | 0.321974i | 0.986957 | + | 0.160987i | \(0.0514677\pi\) | ||||
−0.986957 | + | 0.160987i | \(0.948532\pi\) | |||||||
\(570\) | −17.1795 | + | 38.7143i | −0.719570 | + | 1.62156i | ||||
\(571\) | 5.74778 | 0.240537 | 0.120269 | − | 0.992741i | \(-0.461624\pi\) | ||||
0.120269 | + | 0.992741i | \(0.461624\pi\) | |||||||
\(572\) | −10.6027 | − | 39.5699i | −0.443322 | − | 1.65450i | ||||
\(573\) | −5.71980 | − | 0.117283i | −0.238948 | − | 0.00489957i | ||||
\(574\) | −33.6858 | + | 3.16225i | −1.40602 | + | 0.131990i | ||||
\(575\) | −0.0735997 | + | 8.28076i | −0.00306932 | + | 0.345332i | ||||
\(576\) | 1.95011 | − | 47.5327i | 0.0812547 | − | 1.98053i | ||||
\(577\) | −6.26944 | − | 23.3979i | −0.261000 | − | 0.974066i | −0.964653 | − | 0.263523i | \(-0.915116\pi\) |
0.703653 | − | 0.710544i | \(-0.251551\pi\) | |||||||
\(578\) | 27.3848 | + | 7.33772i | 1.13906 | + | 0.305209i | ||||
\(579\) | −21.7927 | + | 20.9169i | −0.905674 | + | 0.869279i | ||||
\(580\) | −8.92852 | + | 11.5294i | −0.370736 | + | 0.478733i | ||||
\(581\) | −21.7088 | + | 15.4065i | −0.900633 | + | 0.639170i | ||||
\(582\) | −11.1164 | + | 18.3737i | −0.460790 | + | 0.761614i | ||||
\(583\) | −2.14112 | + | 2.14112i | −0.0886763 | + | 0.0886763i | ||||
\(584\) | 19.8022 | − | 34.2984i | 0.819420 | − | 1.41928i | ||||
\(585\) | 7.05595 | − | 15.0601i | 0.291728 | − | 0.622660i | ||||
\(586\) | 30.9973 | − | 17.8963i | 1.28048 | − | 0.739288i | ||||
\(587\) | −9.60776 | − | 35.8566i | −0.396554 | − | 1.47996i | −0.819116 | − | 0.573627i | \(-0.805536\pi\) |
0.422562 | − | 0.906334i | \(-0.361131\pi\) | |||||||
\(588\) | −39.2916 | − | 47.5779i | −1.62036 | − | 1.96208i | ||||
\(589\) | −21.0038 | + | 12.1265i | −0.865445 | + | 0.499665i | ||||
\(590\) | 41.5606 | + | 54.6641i | 1.71102 | + | 2.25048i | ||||
\(591\) | −28.2505 | − | 29.4333i | −1.16207 | − | 1.21072i | ||||
\(592\) | −5.12486 | + | 19.1263i | −0.210631 | + | 0.786084i | ||||
\(593\) | −4.52553 | + | 16.8895i | −0.185841 | + | 0.693569i | 0.808608 | + | 0.588348i | \(0.200222\pi\) |
−0.994449 | + | 0.105221i | \(0.966445\pi\) | |||||||
\(594\) | −14.2709 | + | 42.5918i | −0.585540 | + | 1.74756i | ||||
\(595\) | 14.4160 | + | 27.5655i | 0.590997 | + | 1.13007i | ||||
\(596\) | −25.3541 | + | 43.9145i | −1.03854 | + | 1.79881i | ||||
\(597\) | 2.39560 | − | 3.95955i | 0.0980453 | − | 0.162054i | ||||
\(598\) | 7.73072 | + | 7.73072i | 0.316133 | + | 0.316133i | ||||
\(599\) | 39.8914i | 1.62992i | 0.579519 | + | 0.814959i | \(0.303241\pi\) | ||||
−0.579519 | + | 0.814959i | \(0.696759\pi\) | |||||||
\(600\) | −62.7118 | + | 33.7895i | −2.56020 | + | 1.37945i | ||||
\(601\) | 35.0245 | + | 20.2214i | 1.42868 | + | 0.824848i | 0.997017 | − | 0.0771868i | \(-0.0245938\pi\) |
0.431663 | + | 0.902035i | \(0.357927\pi\) | |||||||
\(602\) | −5.75002 | + | 33.8629i | −0.234353 | + | 1.38015i | ||||
\(603\) | −15.4086 | − | 16.7270i | −0.627485 | − | 0.681175i | ||||
\(604\) | 14.4889 | − | 8.36517i | 0.589545 | − | 0.340374i | ||||
\(605\) | −0.628109 | + | 0.811079i | −0.0255363 | + | 0.0329750i | ||||
\(606\) | 42.9447 | + | 12.4560i | 1.74451 | + | 0.505990i | ||||
\(607\) | 7.22389 | + | 26.9599i | 0.293209 | + | 1.09427i | 0.942630 | + | 0.333841i | \(0.108345\pi\) |
−0.649421 | + | 0.760429i | \(0.724989\pi\) | |||||||
\(608\) | 15.6917 | − | 58.5624i | 0.636384 | − | 2.37502i | ||||
\(609\) | 5.76786 | + | 1.10150i | 0.233725 | + | 0.0446352i | ||||
\(610\) | 30.5465 | − | 23.2242i | 1.23679 | − | 0.940320i | ||||
\(611\) | 9.76013 | + | 16.9050i | 0.394853 | + | 0.683905i | ||||
\(612\) | 78.3320 | − | 17.5820i | 3.16638 | − | 0.710710i | ||||
\(613\) | 1.67065 | + | 6.23495i | 0.0674770 | + | 0.251827i | 0.991422 | − | 0.130697i | \(-0.0417215\pi\) |
−0.923945 | + | 0.382524i | \(0.875055\pi\) | |||||||
\(614\) | −13.7561 | −0.555149 | ||||||||
\(615\) | 17.3577 | − | 6.68758i | 0.699929 | − | 0.269669i | ||||
\(616\) | 70.3486 | − | 6.60396i | 2.83443 | − | 0.266081i | ||||
\(617\) | −6.10514 | + | 22.7847i | −0.245784 | + | 0.917278i | 0.727204 | + | 0.686421i | \(0.240819\pi\) |
−0.972988 | + | 0.230856i | \(0.925847\pi\) | |||||||
\(618\) | −28.7265 | − | 17.3800i | −1.15555 | − | 0.699128i | ||||
\(619\) | 6.32766 | + | 10.9598i | 0.254330 | + | 0.440512i | 0.964713 | − | 0.263303i | \(-0.0848118\pi\) |
−0.710383 | + | 0.703815i | \(0.751478\pi\) | |||||||
\(620\) | −66.5835 | − | 9.06708i | −2.67406 | − | 0.364143i | ||||
\(621\) | −1.71222 | − | 8.43391i | −0.0687089 | − | 0.338441i | ||||
\(622\) | 12.8873 | − | 12.8873i | 0.516733 | − | 0.516733i | ||||
\(623\) | 10.6185 | + | 8.79595i | 0.425420 | + | 0.352402i | ||||
\(624\) | −14.0226 | + | 48.3458i | −0.561352 | + | 1.93538i | ||||
\(625\) | 21.4250 | + | 12.8829i | 0.857001 | + | 0.515314i | ||||
\(626\) | − | 35.7764i | − | 1.42991i | ||||||
\(627\) | −11.9563 | + | 19.7619i | −0.477488 | + | 0.789214i | ||||
\(628\) | −39.7711 | − | 39.7711i | −1.58704 | − | 1.58704i | ||||
\(629\) | −8.88165 | −0.354135 | ||||||||
\(630\) | 38.8320 | + | 26.9297i | 1.54710 | + | 1.07291i | ||||
\(631\) | 9.89706 | 0.393996 | 0.196998 | − | 0.980404i | \(-0.436881\pi\) | ||||
0.196998 | + | 0.980404i | \(0.436881\pi\) | |||||||
\(632\) | −81.4434 | − | 81.4434i | −3.23965 | − | 3.23965i | ||||
\(633\) | 20.3035 | + | 36.8933i | 0.806992 | + | 1.46638i | ||||
\(634\) | − | 28.1733i | − | 1.11891i | ||||||
\(635\) | −15.1847 | − | 19.9722i | −0.602585 | − | 0.792572i | ||||
\(636\) | 7.98296 | − | 1.96455i | 0.316545 | − | 0.0778993i | ||||
\(637\) | 7.53300 | + | 15.6344i | 0.298468 | + | 0.619457i | ||||
\(638\) | −7.83279 | + | 7.83279i | −0.310103 | + | 0.310103i | ||||
\(639\) | −39.7394 | − | 1.63038i | −1.57207 | − | 0.0644969i | ||||
\(640\) | 22.6058 | − | 17.1869i | 0.893571 | − | 0.679374i | ||||
\(641\) | −10.0049 | − | 17.3290i | −0.395170 | − | 0.684455i | 0.597952 | − | 0.801532i | \(-0.295981\pi\) |
−0.993123 | + | 0.117076i | \(0.962648\pi\) | |||||||
\(642\) | 61.9194 | − | 34.0761i | 2.44376 | − | 1.34488i | ||||
\(643\) | −6.70119 | + | 25.0092i | −0.264269 | + | 0.986266i | 0.698427 | + | 0.715682i | \(0.253884\pi\) |
−0.962696 | + | 0.270585i | \(0.912783\pi\) | |||||||
\(644\) | −18.1866 | + | 12.9068i | −0.716653 | + | 0.508601i | ||||
\(645\) | −1.99708 | − | 18.7779i | −0.0786348 | − | 0.739381i | ||||
\(646\) | 57.5027 | 2.26241 | ||||||||
\(647\) | 9.77625 | + | 36.4855i | 0.384344 | + | 1.43439i | 0.839198 | + | 0.543825i | \(0.183025\pi\) |
−0.454854 | + | 0.890566i | \(0.650309\pi\) | |||||||
\(648\) | 56.4593 | − | 47.8832i | 2.21793 | − | 1.88103i | ||||
\(649\) | 18.7236 | + | 32.4302i | 0.734966 | + | 1.27300i | ||||
\(650\) | 31.9556 | − | 8.25879i | 1.25340 | − | 0.323936i | ||||
\(651\) | 8.89375 | + | 25.5563i | 0.348574 | + | 1.00163i | ||||
\(652\) | −5.58996 | + | 20.8620i | −0.218920 | + | 0.817019i | ||||
\(653\) | −9.69175 | − | 36.1701i | −0.379268 | − | 1.41545i | −0.847008 | − | 0.531580i | \(-0.821598\pi\) |
0.467740 | − | 0.883866i | \(-0.345068\pi\) | |||||||
\(654\) | 16.1072 | + | 65.4519i | 0.629842 | + | 2.55937i | ||||
\(655\) | 3.85294 | + | 2.98376i | 0.150547 | + | 0.116585i | ||||
\(656\) | −48.7589 | + | 28.1510i | −1.90372 | + | 1.09911i | ||||
\(657\) | 14.0937 | − | 3.16340i | 0.549847 | − | 0.123416i | ||||
\(658\) | −51.9992 | + | 19.3000i | −2.02714 | + | 0.752394i | ||||
\(659\) | −32.3774 | − | 18.6931i | −1.26124 | − | 0.728179i | −0.287928 | − | 0.957652i | \(-0.592967\pi\) |
−0.973315 | + | 0.229473i | \(0.926300\pi\) | |||||||
\(660\) | −59.7169 | + | 23.0078i | −2.32448 | + | 0.895576i | ||||
\(661\) | 5.18330i | 0.201607i | 0.994906 | + | 0.100803i | \(0.0321413\pi\) | ||||
−0.994906 | + | 0.100803i | \(0.967859\pi\) | |||||||
\(662\) | 58.7282 | + | 58.7282i | 2.28254 | + | 2.28254i | ||||
\(663\) | −22.5744 | − | 0.462882i | −0.876715 | − | 0.0179768i | ||||
\(664\) | −41.3807 | + | 71.6734i | −1.60588 | + | 2.78147i | ||||
\(665\) | 16.4500 | + | 17.8841i | 0.637905 | + | 0.693514i | ||||
\(666\) | −11.9514 | + | 6.26151i | −0.463108 | + | 0.242629i | ||||
\(667\) | 0.549284 | − | 2.04996i | 0.0212684 | − | 0.0793746i | ||||
\(668\) | 19.1800 | − | 71.5807i | 0.742096 | − | 2.76954i | ||||
\(669\) | 1.02701 | − | 0.252740i | 0.0397066 | − | 0.00977149i | ||||
\(670\) | 6.08994 | − | 44.7211i | 0.235275 | − | 1.72773i | ||||
\(671\) | 18.1221 | − | 10.4628i | 0.699597 | − | 0.403912i | ||||
\(672\) | −60.8952 | − | 29.4533i | −2.34908 | − | 1.13619i | ||||
\(673\) | −1.52855 | − | 5.70462i | −0.0589212 | − | 0.219897i | 0.930187 | − | 0.367085i | \(-0.119644\pi\) |
−0.989108 | + | 0.147188i | \(0.952978\pi\) | |||||||
\(674\) | 19.2651 | − | 11.1227i | 0.742065 | − | 0.428431i | ||||
\(675\) | −24.5604 | − | 8.47276i | −0.945329 | − | 0.326117i | ||||
\(676\) | −17.4398 | + | 30.2066i | −0.670760 | + | 1.16179i | ||||
\(677\) | 2.58275 | − | 2.58275i | 0.0992632 | − | 0.0992632i | −0.655731 | − | 0.754994i | \(-0.727640\pi\) |
0.754994 | + | 0.655731i | \(0.227640\pi\) | |||||||
\(678\) | −4.54584 | − | 8.26019i | −0.174582 | − | 0.317231i | ||||
\(679\) | 7.13032 | + | 10.0471i | 0.273636 | + | 0.385572i | ||||
\(680\) | 76.4647 | + | 59.2151i | 2.93229 | + | 2.27080i | ||||
\(681\) | −22.6585 | − | 6.57206i | −0.868278 | − | 0.251842i | ||||
\(682\) | −49.3064 | − | 13.2116i | −1.88804 | − | 0.505899i | ||||
\(683\) | −0.757011 | − | 2.82520i | −0.0289662 | − | 0.108103i | 0.949929 | − | 0.312465i | \(-0.101155\pi\) |
−0.978895 | + | 0.204362i | \(0.934488\pi\) | |||||||
\(684\) | 55.5481 | − | 29.1024i | 2.12393 | − | 1.11276i | ||||
\(685\) | 5.16927 | − | 12.3245i | 0.197508 | − | 0.470896i | ||||
\(686\) | −47.3803 | + | 13.6655i | −1.80899 | + | 0.521753i | ||||
\(687\) | 11.1935 | − | 18.5011i | 0.427059 | − | 0.705863i | ||||
\(688\) | 14.7933 | + | 55.2092i | 0.563988 | + | 2.10483i | ||||
\(689\) | −2.31221 | −0.0880880 | ||||||||
\(690\) | 10.7318 | − | 13.2862i | 0.408554 | − | 0.505798i | ||||
\(691\) | − | 39.3357i | − | 1.49640i | −0.663474 | − | 0.748199i | \(-0.730919\pi\) | ||
0.663474 | − | 0.748199i | \(-0.269081\pi\) | |||||||
\(692\) | −12.4320 | + | 12.4320i | −0.472593 | + | 0.472593i | ||||
\(693\) | 19.1550 | + | 17.2390i | 0.727638 | + | 0.654856i | ||||
\(694\) | − | 15.6894i | − | 0.595560i | ||||||
\(695\) | −3.88011 | − | 9.48642i | −0.147181 | − | 0.359841i | ||||
\(696\) | 17.7273 | − | 4.36255i | 0.671951 | − | 0.165362i | ||||
\(697\) | −17.8573 | − | 17.8573i | −0.676394 | − | 0.676394i | ||||
\(698\) | 66.4689 | − | 17.8103i | 2.51589 | − | 0.674130i | ||||
\(699\) | 18.0549 | + | 5.23678i | 0.682899 | + | 0.198073i | ||||
\(700\) | 5.69650 | + | 67.0840i | 0.215308 | + | 2.53554i | ||||
\(701\) | 16.3547 | 0.617708 | 0.308854 | − | 0.951109i | \(-0.400055\pi\) | ||||
0.308854 | + | 0.951109i | \(0.400055\pi\) | |||||||
\(702\) | −30.7030 | + | 15.2919i | −1.15881 | + | 0.577156i | ||||
\(703\) | −6.70134 | + | 1.79562i | −0.252746 | + | 0.0677231i | ||||
\(704\) | 44.5874 | − | 25.7426i | 1.68045 | − | 0.970210i | ||||
\(705\) | 24.6481 | − | 17.9544i | 0.928302 | − | 0.676203i | ||||
\(706\) | −25.4858 | + | 14.7143i | −0.959172 | + | 0.553778i | ||||
\(707\) | 16.3645 | − | 19.7553i | 0.615451 | − | 0.742973i | ||||
\(708\) | 2.08429 | − | 101.649i | 0.0783324 | − | 3.82021i | ||||
\(709\) | 28.2355i | 1.06041i | 0.847871 | + | 0.530203i | \(0.177884\pi\) | ||||
−0.847871 | + | 0.530203i | \(0.822116\pi\) | |||||||
\(710\) | −47.7720 | − | 62.8339i | −1.79285 | − | 2.35811i | ||||
\(711\) | 1.72198 | − | 41.9721i | 0.0645793 | − | 1.57408i | ||||
\(712\) | 41.4072 | + | 11.0950i | 1.55180 | + | 0.415804i | ||||
\(713\) | 9.44654 | − | 2.53119i | 0.353776 | − | 0.0947939i | ||||
\(714\) | 12.0347 | − | 63.0180i | 0.450388 | − | 2.35839i | ||||
\(715\) | 17.8552 | − | 2.27000i | 0.667745 | − | 0.0848933i | ||||
\(716\) | 53.4502 | − | 92.5785i | 1.99753 | − | 3.45982i | ||||
\(717\) | −30.3054 | + | 16.6780i | −1.13178 | + | 0.622851i | ||||
\(718\) | 32.5601 | + | 8.72446i | 1.21513 | + | 0.325594i | ||||
\(719\) | −25.4804 | − | 44.1334i | −0.950259 | − | 1.64590i | −0.744862 | − | 0.667218i | \(-0.767485\pi\) |
−0.205397 | − | 0.978679i | \(-0.565849\pi\) | |||||||
\(720\) | 77.4179 | + | 13.7957i | 2.88519 | + | 0.514137i | ||||
\(721\) | −15.7082 | + | 11.1480i | −0.585005 | + | 0.415172i | ||||
\(722\) | −5.47856 | + | 1.46797i | −0.203891 | + | 0.0546324i | ||||
\(723\) | 32.7580 | − | 18.0277i | 1.21828 | − | 0.670458i | ||||
\(724\) | 1.02436 | 0.0380702 | ||||||||
\(725\) | −4.48997 | − | 4.57050i | −0.166753 | − | 0.169744i | ||||
\(726\) | 2.05444 | − | 0.505583i | 0.0762476 | − | 0.0187639i | ||||
\(727\) | 2.76472 | + | 10.3181i | 0.102538 | + | 0.382677i | 0.998054 | − | 0.0623519i | \(-0.0198601\pi\) |
−0.895516 | + | 0.445029i | \(0.853193\pi\) | |||||||
\(728\) | 41.5506 | + | 34.4190i | 1.53997 | + | 1.27565i | ||||
\(729\) | 26.7960 | + | 3.31294i | 0.992444 | + | 0.122701i | ||||
\(730\) | 22.6643 | + | 17.5515i | 0.838845 | + | 0.649611i | ||||
\(731\) | −22.2027 | + | 12.8187i | −0.821197 | + | 0.474118i | ||||
\(732\) | −56.8019 | − | 1.16471i | −2.09946 | − | 0.0430489i | ||||
\(733\) | −6.48083 | + | 1.73653i | −0.239375 | + | 0.0641403i | −0.376512 | − | 0.926412i | \(-0.622877\pi\) |
0.137137 | + | 0.990552i | \(0.456210\pi\) | |||||||
\(734\) | −11.7456 | − | 20.3440i | −0.433539 | − | 0.750912i | ||||
\(735\) | 23.0422 | − | 14.2848i | 0.849924 | − | 0.526905i | ||||
\(736\) | −12.2238 | + | 21.1723i | −0.450576 | + | 0.780421i | ||||
\(737\) | 6.37025 | − | 23.7741i | 0.234651 | − | 0.875730i | ||||
\(738\) | −36.6186 | − | 11.4400i | −1.34795 | − | 0.421113i | ||||
\(739\) | −41.4771 | − | 23.9468i | −1.52576 | − | 0.880898i | −0.999533 | − | 0.0305536i | \(-0.990273\pi\) |
−0.526227 | − | 0.850344i | \(-0.676394\pi\) | |||||||
\(740\) | −17.7263 | − | 7.43495i | −0.651633 | − | 0.273314i | ||||
\(741\) | −17.1263 | + | 4.21464i | −0.629149 | + | 0.154829i | ||||
\(742\) | 1.09986 | − | 6.47724i | 0.0403770 | − | 0.237787i | ||||
\(743\) | 39.2922 | + | 10.5283i | 1.44149 | + | 0.386246i | 0.893056 | − | 0.449946i | \(-0.148557\pi\) |
0.548436 | + | 0.836193i | \(0.315224\pi\) | |||||||
\(744\) | 58.2551 | + | 60.6942i | 2.13574 | + | 2.22516i | ||||
\(745\) | −17.6150 | − | 13.6412i | −0.645362 | − | 0.499776i | ||||
\(746\) | −18.1187 | + | 31.3825i | −0.663372 | + | 1.14899i | ||||
\(747\) | −29.4516 | + | 6.61057i | −1.07758 | + | 0.241868i | ||||
\(748\) | 61.4358 | + | 61.4358i | 2.24632 | + | 2.24632i | ||||
\(749\) | −3.78971 | − | 40.3699i | −0.138473 | − | 1.47508i | ||||
\(750\) | −18.1087 | − | 48.2760i | −0.661237 | − | 1.76279i | ||||
\(751\) | −8.57753 | + | 14.8567i | −0.312998 | + | 0.542129i | −0.979010 | − | 0.203812i | \(-0.934667\pi\) |
0.666012 | + | 0.745941i | \(0.268000\pi\) | |||||||
\(752\) | −65.2648 | + | 65.2648i | −2.37996 | + | 2.37996i | ||||
\(753\) | −0.454923 | + | 22.1862i | −0.0165783 | + | 0.808511i | ||||
\(754\) | −8.45865 | −0.308046 | ||||||||
\(755\) | 2.78279 | + | 6.80361i | 0.101276 | + | 0.247609i | ||||
\(756\) | −20.2681 | − | 66.9667i | −0.737142 | − | 2.43556i | ||||
\(757\) | 11.9585 | + | 11.9585i | 0.434640 | + | 0.434640i | 0.890203 | − | 0.455564i | \(-0.150562\pi\) |
−0.455564 | + | 0.890203i | \(0.650562\pi\) | |||||||
\(758\) | 30.5051 | − | 30.5051i | 1.10800 | − | 1.10800i | ||||
\(759\) | 6.71943 | − | 6.44940i | 0.243900 | − | 0.234099i | ||||
\(760\) | 69.6654 | + | 29.2197i | 2.52703 | + | 1.05991i | ||||
\(761\) | −4.70850 | − | 2.71846i | −0.170683 | − | 0.0985440i | 0.412225 | − | 0.911082i | \(-0.364752\pi\) |
−0.582908 | + | 0.812538i | \(0.698085\pi\) | |||||||
\(762\) | −1.06078 | + | 51.7335i | −0.0384281 | + | 1.87411i | ||||
\(763\) | 38.1245 | + | 6.47365i | 1.38020 | + | 0.234362i | ||||
\(764\) | 16.8101i | 0.608170i | ||||||||
\(765\) | 3.01045 | + | 35.1439i | 0.108843 | + | 1.27063i | ||||
\(766\) | 19.4697 | + | 11.2409i | 0.703471 | + | 0.406149i | ||||
\(767\) | −7.40091 | + | 27.6206i | −0.267231 | + | 0.997321i | ||||
\(768\) | −3.63452 | − | 0.0745250i | −0.131150 | − | 0.00268919i | ||||
\(769\) | 16.3064 | + | 28.2434i | 0.588022 | + | 1.01848i | 0.994491 | + | 0.104820i | \(0.0334266\pi\) |
−0.406469 | + | 0.913665i | \(0.633240\pi\) | |||||||
\(770\) | −2.13422 | + | 51.0980i | −0.0769121 | + | 1.84144i | ||||
\(771\) | −1.64397 | − | 6.68030i | −0.0592062 | − | 0.240585i | ||||
\(772\) | 62.7606 | + | 62.7606i | 2.25880 | + | 2.25880i | ||||
\(773\) | −32.9862 | + | 8.83863i | −1.18643 | + | 0.317903i | −0.797475 | − | 0.603353i | \(-0.793831\pi\) |
−0.388957 | + | 0.921256i | \(0.627165\pi\) | |||||||
\(774\) | −20.8395 | + | 32.9021i | −0.749060 | + | 1.18264i | ||||
\(775\) | 7.89464 | − | 28.4494i | 0.283584 | − | 1.02193i | ||||
\(776\) | 33.1713 | + | 19.1515i | 1.19078 | + | 0.687498i | ||||
\(777\) | 0.565321 | + | 7.71989i | 0.0202808 | + | 0.276950i | ||||
\(778\) | 28.1856 | + | 7.55231i | 1.01050 | + | 0.270764i | ||||
\(779\) | −17.0839 | − | 9.86337i | −0.612093 | − | 0.353392i | ||||
\(780\) | −44.6673 | − | 19.8211i | −1.59934 | − | 0.709710i | ||||
\(781\) | −21.5219 | − | 37.2771i | −0.770115 | − | 1.33388i | ||||
\(782\) | −22.3972 | − | 6.00132i | −0.800923 | − | 0.214607i | ||||
\(783\) | 5.55074 | + | 3.67730i | 0.198367 | + | 0.131416i | ||||
\(784\) | −62.1869 | + | 53.5380i | −2.22096 | + | 1.91207i | ||||
\(785\) | 19.6720 | − | 14.9564i | 0.702124 | − | 0.533818i | ||||
\(786\) | −2.40171 | − | 9.75940i | −0.0856663 | − | 0.348106i | ||||
\(787\) | −7.21329 | + | 7.21329i | −0.257126 | + | 0.257126i | −0.823884 | − | 0.566758i | \(-0.808197\pi\) |
0.566758 | + | 0.823884i | \(0.308197\pi\) | |||||||
\(788\) | −84.7645 | + | 84.7645i | −3.01961 | + | 3.01961i | ||||
\(789\) | −16.0916 | − | 4.66732i | −0.572875 | − | 0.166161i | ||||
\(790\) | 66.3641 | − | 50.4560i | 2.36113 | − | 1.79514i | ||||
\(791\) | −5.38543 | + | 0.505557i | −0.191484 | + | 0.0179755i | ||||
\(792\) | 76.4735 | + | 23.8911i | 2.71737 | + | 0.848933i | ||||
\(793\) | 15.4345 | + | 4.13565i | 0.548094 | + | 0.146861i | ||||
\(794\) | 40.1487 | + | 69.5396i | 1.42482 | + | 2.46787i | ||||
\(795\) | 0.381998 | + | 3.59182i | 0.0135481 | + | 0.127389i | ||||
\(796\) | −11.7763 | − | 6.79905i | −0.417400 | − | 0.240986i | ||||
\(797\) | 6.94468 | + | 1.86082i | 0.245993 | + | 0.0659137i | 0.379709 | − | 0.925106i | \(-0.376024\pi\) |
−0.133716 | + | 0.991020i | \(0.542691\pi\) | |||||||
\(798\) | −3.66007 | − | 49.9811i | −0.129565 | − | 1.76931i | ||||
\(799\) | −35.8535 | − | 20.7001i | −1.26841 | − | 0.732315i | ||||
\(800\) | 36.3333 | + | 64.2431i | 1.28458 | + | 2.27134i | ||||
\(801\) | 7.25570 | + | 13.8490i | 0.256368 | + | 0.489332i | ||||
\(802\) | 42.9490 | − | 11.5082i | 1.51658 | − | 0.406367i | ||||
\(803\) | 11.0537 | + | 11.0537i | 0.390076 | + | 0.390076i | ||||
\(804\) | −48.2108 | + | 46.2734i | −1.70026 | + | 1.63194i | ||||
\(805\) | −4.54078 | − | 8.68264i | −0.160041 | − | 0.306023i | ||||
\(806\) | −19.4894 | − | 33.7567i | −0.686486 | − | 1.18903i | ||||
\(807\) | −10.3069 | + | 17.0357i | −0.362820 | + | 0.599686i | ||||
\(808\) | 20.6419 | − | 77.0365i | 0.726178 | − | 2.71013i | ||||
\(809\) | 9.08836 | + | 5.24717i | 0.319530 | + | 0.184481i | 0.651183 | − | 0.758921i | \(-0.274273\pi\) |
−0.331653 | + | 0.943401i | \(0.607606\pi\) | |||||||
\(810\) | 28.8271 | + | 45.1683i | 1.01288 | + | 1.58705i | ||||
\(811\) | − | 12.5039i | − | 0.439070i | −0.975605 | − | 0.219535i | \(-0.929546\pi\) | ||
0.975605 | − | 0.219535i | \(-0.0704540\pi\) | |||||||
\(812\) | 2.88846 | − | 17.0106i | 0.101365 | − | 0.596956i | ||||
\(813\) | 23.5342 | − | 12.9516i | 0.825382 | − | 0.454233i | ||||
\(814\) | −12.6457 | − | 7.30098i | −0.443230 | − | 0.255899i | ||||
\(815\) | −8.75080 | − | 3.67034i | −0.306527 | − | 0.128567i | ||||
\(816\) | −25.5120 | − | 103.668i | −0.893099 | − | 3.62912i | ||||
\(817\) | −14.1607 | + | 14.1607i | −0.495420 | + | 0.495420i | ||||
\(818\) | 62.6435 | + | 62.6435i | 2.19028 | + | 2.19028i | ||||
\(819\) | 1.03453 | + | 19.6510i | 0.0361495 | + | 0.686661i | ||||
\(820\) | −20.6917 | − | 50.5889i | −0.722586 | − | 1.76664i | ||||
\(821\) | −0.197834 | −0.00690446 | −0.00345223 | − | 0.999994i | \(-0.501099\pi\) | ||||
−0.00345223 | + | 0.999994i | \(0.501099\pi\) | |||||||
\(822\) | −24.1484 | + | 13.2896i | −0.842271 | + | 0.463527i | ||||
\(823\) | 7.39476 | − | 7.39476i | 0.257765 | − | 0.257765i | −0.566379 | − | 0.824145i | \(-0.691656\pi\) |
0.824145 | + | 0.566379i | \(0.191656\pi\) | |||||||
\(824\) | −29.9425 | + | 51.8620i | −1.04310 | + | 1.80670i | ||||
\(825\) | −6.47610 | − | 27.3615i | −0.225469 | − | 0.952605i | ||||
\(826\) | −73.8539 | − | 33.8708i | −2.56970 | − | 1.17852i | ||||
\(827\) | −40.2679 | − | 40.2679i | −1.40025 | − | 1.40025i | −0.799238 | − | 0.601014i | \(-0.794764\pi\) |
−0.601014 | − | 0.799238i | \(-0.705236\pi\) | |||||||
\(828\) | −24.6732 | + | 5.53802i | −0.857453 | + | 0.192460i | ||||
\(829\) | 14.6741 | − | 25.4163i | 0.509654 | − | 0.882746i | −0.490284 | − | 0.871563i | \(-0.663107\pi\) |
0.999937 | − | 0.0111832i | \(-0.00355980\pi\) | |||||||
\(830\) | −47.3618 | − | 36.6775i | −1.64395 | − | 1.27309i | ||||
\(831\) | −8.78547 | + | 30.2898i | −0.304765 | + | 1.05074i | ||||
\(832\) | 37.9748 | + | 10.1753i | 1.31654 | + | 0.352765i | ||||
\(833\) | −30.4154 | − | 20.7279i | −1.05383 | − | 0.718180i | ||||
\(834\) | −5.88843 | + | 20.3016i | −0.203900 | + | 0.702987i | ||||
\(835\) | 30.0253 | + | 12.5935i | 1.03907 | + | 0.435817i | ||||
\(836\) | 58.7748 | + | 33.9337i | 2.03277 | + | 1.17362i | ||||
\(837\) | −1.88597 | + | 30.6247i | −0.0651886 | + | 1.05854i | ||||
\(838\) | 5.67204 | − | 21.1684i | 0.195938 | − | 0.731249i | ||||
\(839\) | 21.4830 | − | 37.2097i | 0.741676 | − | 1.28462i | −0.210056 | − | 0.977689i | \(-0.567365\pi\) |
0.951732 | − | 0.306931i | \(-0.0993020\pi\) | |||||||
\(840\) | 46.6025 | − | 70.2318i | 1.60794 | − | 2.42323i | ||||
\(841\) | −13.6790 | − | 23.6927i | −0.471690 | − | 0.816991i | ||||
\(842\) | 41.4295 | − | 11.1010i | 1.42775 | − | 0.382565i | ||||
\(843\) | −25.5144 | + | 42.1713i | −0.878762 | + | 1.45246i | ||||
\(844\) | 107.159 | − | 61.8681i | 3.68855 | − | 2.12959i | ||||
\(845\) | −12.1164 | − | 9.38310i | −0.416817 | − | 0.322788i | ||||
\(846\) | −62.8390 | − | 2.57808i | −2.16045 | − | 0.0886362i | ||||
\(847\) | 0.203199 | − | 1.19667i | 0.00698200 | − | 0.0411182i | ||||
\(848\) | −2.82964 | − | 10.5603i | −0.0971701 | − | 0.362644i | ||||
\(849\) | −26.9858 | − | 28.1156i | −0.926150 | − | 0.964926i | ||||
\(850\) | −49.9360 | + | 49.0562i | −1.71279 | + | 1.68261i | ||||
\(851\) | 2.79757 | 0.0958993 | ||||||||
\(852\) | −2.39580 | + | 116.841i | −0.0820787 | + | 4.00291i | ||||
\(853\) | 9.41682 | − | 2.52323i | 0.322426 | − | 0.0863937i | −0.0939760 | − | 0.995574i | \(-0.529958\pi\) |
0.416402 | + | 0.909181i | \(0.363291\pi\) | |||||||
\(854\) | −18.9271 | + | 41.2698i | −0.647672 | + | 1.41222i | ||||
\(855\) | 9.37652 | + | 25.9080i | 0.320670 | + | 0.886033i | ||||
\(856\) | −63.0303 | − | 109.172i | −2.15433 | − | 3.73141i | ||||
\(857\) | 26.8977 | + | 7.20722i | 0.918809 | + | 0.246194i | 0.687076 | − | 0.726585i | \(-0.258894\pi\) |
0.231733 | + | 0.972779i | \(0.425561\pi\) | |||||||
\(858\) | −31.7608 | − | 19.2158i | −1.08429 | − | 0.656017i | ||||
\(859\) | 16.0736 | − | 27.8403i | 0.548424 | − | 0.949898i | −0.449959 | − | 0.893049i | \(-0.648561\pi\) |
0.998383 | − | 0.0568485i | \(-0.0181052\pi\) | |||||||
\(860\) | −55.0438 | + | 6.99795i | −1.87698 | + | 0.238628i | ||||
\(861\) | −14.3849 | + | 16.6581i | −0.490235 | + | 0.567707i | ||||
\(862\) | 5.28105 | − | 1.41505i | 0.179873 | − | 0.0481969i | ||||
\(863\) | −32.7740 | − | 8.78176i | −1.11564 | − | 0.298935i | −0.346522 | − | 0.938042i | \(-0.612637\pi\) |
−0.769118 | + | 0.639107i | \(0.779304\pi\) | |||||||
\(864\) | −50.7997 | − | 57.4671i | −1.72824 | − | 1.95507i | ||||
\(865\) | −4.67520 | − | 6.14923i | −0.158962 | − | 0.209080i | ||||
\(866\) | − | 43.8437i | − | 1.48987i | ||||||
\(867\) | 16.1575 | − | 8.89196i | 0.548737 | − | 0.301987i | ||||
\(868\) | 74.5410 | − | 27.6667i | 2.53009 | − | 0.939067i | ||||
\(869\) | 39.3714 | − | 22.7311i | 1.33558 | − | 0.771100i | ||||
\(870\) | 1.39745 | + | 13.1398i | 0.0473779 | + | 0.445481i | ||||
\(871\) | 16.2765 | − | 9.39723i | 0.551507 | − | 0.318413i | ||||
\(872\) | 116.128 | − | 31.1164i | 3.93259 | − | 1.05373i | ||||
\(873\) | 3.05945 | + | 13.6306i | 0.103547 | + | 0.461325i | ||||
\(874\) | −18.1123 | −0.612659 | ||||||||
\(875\) | −29.5425 | − | 1.49704i | −0.998719 | − | 0.0506092i | ||||
\(876\) | −10.1421 | − | 41.2126i | −0.342670 | − | 1.39244i | ||||
\(877\) | 34.4535 | − | 9.23179i | 1.16341 | − | 0.311735i | 0.375085 | − | 0.926991i | \(-0.377614\pi\) |
0.788328 | + | 0.615255i | \(0.210947\pi\) | |||||||
\(878\) | 57.7054 | + | 57.7054i | 1.94746 | + | 1.94746i | ||||
\(879\) | 6.48604 | − | 22.3620i | 0.218769 | − | 0.754252i | ||||
\(880\) | 32.2184 | + | 78.7705i | 1.08608 | + | 2.65535i | ||||
\(881\) | 23.5220i | 0.792476i | 0.918148 | + | 0.396238i | \(0.129684\pi\) | ||||
−0.918148 | + | 0.396238i | \(0.870316\pi\) | |||||||
\(882\) | −55.5410 | − | 6.44940i | −1.87016 | − | 0.217163i | ||||
\(883\) | 29.6481 | − | 29.6481i | 0.997738 | − | 0.997738i | −0.00225948 | − | 0.999997i | \(-0.500719\pi\) |
0.999997 | + | 0.00225948i | \(0.000719214\pi\) | |||||||
\(884\) | 66.3447i | 2.23141i | ||||||||
\(885\) | 44.1290 | + | 6.93353i | 1.48338 | + | 0.233068i | ||||
\(886\) | −5.28608 | −0.177589 | ||||||||
\(887\) | −12.4558 | − | 46.4855i | −0.418223 | − | 1.56083i | −0.778291 | − | 0.627904i | \(-0.783913\pi\) |
0.360067 | − | 0.932926i | \(-0.382754\pi\) | |||||||
\(888\) | 11.6028 | + | 21.0834i | 0.389365 | + | 0.707512i | ||||
\(889\) | 26.9834 | + | 12.3751i | 0.904994 | + | 0.415047i | ||||
\(890\) | −12.0012 | + | 28.6131i | −0.402280 | + | 0.959112i | ||||
\(891\) | 12.4882 | + | 26.4175i | 0.418371 | + | 0.885019i | ||||
\(892\) | −0.804339 | − | 3.00184i | −0.0269313 | − | 0.100509i | ||||
\(893\) | −31.2370 | − | 8.36993i | −1.04531 | − | 0.280089i | ||||
\(894\) | 10.9802 | + | 44.6183i | 0.367233 | + | 1.49226i | ||||
\(895\) | 37.1350 | + | 28.7578i | 1.24129 | + | 0.961266i | ||||
\(896\) | −14.0069 | + | 30.5415i | −0.467938 | + | 1.02032i | ||||
\(897\) | 7.11053 | + | 0.145800i | 0.237414 | + | 0.00486811i | ||||
\(898\) | −77.0029 | + | 77.0029i | −2.56962 | + | 2.56962i | ||||
\(899\) | −3.78325 | + | 6.55278i | −0.126178 | + | 0.218547i | ||||
\(900\) | −23.4110 | + | 72.6615i | −0.780368 | + | 2.42205i | ||||
\(901\) | 4.24691 | − | 2.45195i | 0.141485 | − | 0.0816864i | ||||
\(902\) | −10.7459 | − | 40.1044i | −0.357801 | − | 1.33533i | ||||
\(903\) | 12.5552 | + | 18.4826i | 0.417811 | + | 0.615062i | ||||
\(904\) | −14.5638 | + | 8.40839i | −0.484383 | + | 0.279659i | ||||
\(905\) | −0.0607282 | + | 0.445953i | −0.00201867 | + | 0.0148240i | ||||
\(906\) | 4.22315 | − | 14.5602i | 0.140305 | − | 0.483730i | ||||
\(907\) | 11.5790 | − | 43.2134i | 0.384474 | − | 1.43488i | −0.454520 | − | 0.890736i | \(-0.650189\pi\) |
0.838994 | − | 0.544140i | \(-0.183144\pi\) | |||||||
\(908\) | −17.9419 | + | 66.9600i | −0.595422 | + | 2.22215i | ||||
\(909\) | 25.7656 | − | 13.4989i | 0.854591 | − | 0.447732i | ||||
\(910\) | −28.7428 | + | 26.4380i | −0.952814 | + | 0.876412i | ||||
\(911\) | 3.29711 | − | 5.71077i | 0.109238 | − | 0.189206i | −0.806224 | − | 0.591611i | \(-0.798492\pi\) |
0.915462 | + | 0.402405i | \(0.131826\pi\) | |||||||
\(912\) | −40.2080 | − | 73.0616i | −1.33142 | − | 2.41931i | ||||
\(913\) | −23.0989 | − | 23.0989i | −0.764463 | − | 0.764463i | ||||
\(914\) | − | 41.5233i | − | 1.37347i | ||||||
\(915\) | 3.87448 | − | 24.6594i | 0.128086 | − | 0.815216i | ||||
\(916\) | −55.0252 | − | 31.7688i | −1.81808 | − | 1.04967i | ||||
\(917\) | −5.68466 | − | 0.965273i | −0.187724 | − | 0.0318761i | ||||
\(918\) | 40.1772 | − | 60.6459i | 1.32604 | − | 2.00161i | ||||
\(919\) | −23.1481 | + | 13.3645i | −0.763584 | + | 0.440856i | −0.830581 | − | 0.556898i | \(-0.811992\pi\) |
0.0669969 | + | 0.997753i | \(0.478658\pi\) | |||||||
\(920\) | −24.0850 | − | 18.6517i | −0.794060 | − | 0.614929i | ||||
\(921\) | −6.45596 | + | 6.19652i | −0.212731 | + | 0.204182i | ||||
\(922\) | −0.872274 | − | 3.25537i | −0.0287268 | − | 0.107210i | ||||
\(923\) | 8.50701 | − | 31.7486i | 0.280012 | − | 1.04502i | ||||
\(924\) | 49.4893 | − | 57.3101i | 1.62808 | − | 1.88537i | ||||
\(925\) | 4.28766 | − | 7.27633i | 0.140977 | − | 0.239244i | ||||
\(926\) | −20.7337 | − | 35.9117i | −0.681350 | − | 1.18013i | ||||
\(927\) | −21.3108 | + | 4.78332i | −0.699940 | + | 0.157105i | ||||
\(928\) | −4.89553 | − | 18.2704i | −0.160704 | − | 0.599754i | ||||
\(929\) | 19.9166 | 0.653441 | 0.326720 | − | 0.945121i | \(-0.394056\pi\) | ||||
0.326720 | + | 0.945121i | \(0.394056\pi\) | |||||||
\(930\) | −49.2184 | + | 35.8521i | −1.61393 | + | 1.17564i | ||||
\(931\) | −27.1395 | − | 9.49039i | −0.889461 | − | 0.311035i | ||||
\(932\) | 14.2965 | − | 53.3554i | 0.468299 | − | 1.74771i | ||||
\(933\) | 0.243051 | − | 11.8534i | 0.00795714 | − | 0.388063i | ||||
\(934\) | −25.6878 | − | 44.4925i | −0.840529 | − | 1.45584i | ||||
\(935\) | −30.3880 | + | 23.1037i | −0.993794 | + | 0.755572i | ||||
\(936\) | 28.3919 | + | 54.1920i | 0.928019 | + | 1.77132i | ||||
\(937\) | −26.1535 | + | 26.1535i | −0.854399 | + | 0.854399i | −0.990671 | − | 0.136272i | \(-0.956488\pi\) |
0.136272 | + | 0.990671i | \(0.456488\pi\) | |||||||
\(938\) | 18.5824 | + | 50.0658i | 0.606737 | + | 1.63470i | ||||
\(939\) | −16.1158 | − | 16.7905i | −0.525918 | − | 0.547938i | ||||
\(940\) | −54.2296 | − | 71.3274i | −1.76877 | − | 2.32644i | ||||
\(941\) | − | 58.7522i | − | 1.91527i | −0.287990 | − | 0.957633i | \(-0.592987\pi\) | ||
0.287990 | − | 0.957633i | \(-0.407013\pi\) | |||||||
\(942\) | −50.9559 | − | 1.04484i | −1.66023 | − | 0.0340427i | ||||
\(943\) | 5.62474 | + | 5.62474i | 0.183167 | + | 0.183167i | ||||
\(944\) | −135.206 | −4.40059 | ||||||||
\(945\) | 30.3553 | − | 4.85359i | 0.987457 | − | 0.157887i | ||||
\(946\) | −42.1495 | −1.37040 | ||||||||
\(947\) | 5.41444 | + | 5.41444i | 0.175946 | + | 0.175946i | 0.789586 | − | 0.613640i | \(-0.210295\pi\) |
−0.613640 | + | 0.789586i | \(0.710295\pi\) | |||||||
\(948\) | −123.406 | − | 2.53040i | −4.00802 | − | 0.0821836i | ||||
\(949\) | 11.9369i | 0.387488i | ||||||||
\(950\) | −27.7597 | + | 47.1093i | −0.900644 | + | 1.52843i | ||||
\(951\) | −12.6909 | − | 13.2222i | −0.411531 | − | 0.428761i | ||||
\(952\) | −112.817 | − | 19.1566i | −3.65641 | − | 0.620870i | ||||
\(953\) | −2.50825 | + | 2.50825i | −0.0812501 | + | 0.0812501i | −0.746564 | − | 0.665314i | \(-0.768298\pi\) |
0.665314 | + | 0.746564i | \(0.268298\pi\) | |||||||
\(954\) | 3.98615 | − | 6.29346i | 0.129056 | − | 0.203758i | ||||
\(955\) | −7.31824 | − | 0.996569i | −0.236813 | − | 0.0322482i | ||||
\(956\) | 50.8205 | + | 88.0237i | 1.64365 | + | 2.84689i | ||||
\(957\) | −0.147725 | + | 7.20441i | −0.00477526 | + | 0.232885i | ||||
\(958\) | 14.5732 | − | 54.3877i | 0.470837 | − | 1.75719i | ||||
\(959\) | 1.47798 | + | 15.7441i | 0.0477263 | + | 0.508404i | ||||
\(960\) | 9.53272 | − | 60.6717i | 0.307667 | − | 1.95817i | ||||
\(961\) | −3.86767 | −0.124764 | ||||||||
\(962\) | −2.88587 | − | 10.7702i | −0.0930442 | − | 0.347246i | ||||
\(963\) | 13.7100 | − | 43.8846i | 0.441799 | − | 1.41416i | ||||
\(964\) | −54.9334 | − | 95.1474i | −1.76928 | − | 3.06449i | ||||
\(965\) | −31.0433 | + | 23.6019i | −0.999318 | + | 0.759772i | ||||
\(966\) | −3.79073 | + | 19.8496i | −0.121965 | + | 0.638649i | ||||
\(967\) | −0.332460 | + | 1.24076i | −0.0106912 | + | 0.0399001i | −0.971065 | − | 0.238814i | \(-0.923241\pi\) |
0.960374 | + | 0.278714i | \(0.0899081\pi\) | |||||||
\(968\) | −0.976700 | − | 3.64510i | −0.0313923 | − | 0.117158i | ||||
\(969\) | 26.9870 | − | 25.9025i | 0.866949 | − | 0.832110i | ||||
\(970\) | −16.9748 | + | 21.9196i | −0.545028 | + | 0.703796i | ||||
\(971\) | 40.1659 | − | 23.1898i | 1.28899 | − | 0.744196i | 0.310512 | − | 0.950569i | \(-0.399499\pi\) |
0.978473 | + | 0.206373i | \(0.0661662\pi\) | |||||||
\(972\) | 8.11832 | − | 78.9183i | 0.260395 | − | 2.53130i | ||||
\(973\) | 9.33908 | + | 7.73615i | 0.299397 | + | 0.248009i | ||||
\(974\) | 64.9563 | + | 37.5026i | 2.08134 | + | 1.20166i | ||||
\(975\) | 11.2771 | − | 18.2707i | 0.361156 | − | 0.585129i | ||||
\(976\) | 75.5538i | 2.41842i | ||||||||
\(977\) | 15.6758 | + | 15.6758i | 0.501513 | + | 0.501513i | 0.911908 | − | 0.410395i | \(-0.134609\pi\) |
−0.410395 | + | 0.911908i | \(0.634609\pi\) | |||||||
\(978\) | 9.43602 | + | 17.1461i | 0.301731 | + | 0.548272i | ||||
\(979\) | −8.46022 | + | 14.6535i | −0.270390 | + | 0.468329i | ||||
\(980\) | −43.3527 | − | 66.8307i | −1.38485 | − | 2.13483i | ||||
\(981\) | 37.0427 | + | 23.4621i | 1.18268 | + | 0.749088i | ||||
\(982\) | 14.5800 | − | 54.4133i | 0.465266 | − | 1.73640i | ||||
\(983\) | −9.46266 | + | 35.3151i | −0.301812 | + | 1.12638i | 0.633843 | + | 0.773462i | \(0.281476\pi\) |
−0.935655 | + | 0.352916i | \(0.885190\pi\) | |||||||
\(984\) | −19.0614 | + | 65.7184i | −0.607657 | + | 2.09502i | ||||
\(985\) | −31.8768 | − | 41.9271i | −1.01568 | − | 1.33591i | ||||
\(986\) | 15.5363 | − | 8.96988i | 0.494776 | − | 0.285659i | ||||
\(987\) | −15.7103 | + | 32.4813i | −0.500064 | + | 1.03389i | ||||
\(988\) | 13.4130 | + | 50.0581i | 0.426725 | + | 1.59256i | ||||
\(989\) | 6.99347 | − | 4.03768i | 0.222379 | − | 0.128391i | ||||
\(990\) | −24.6030 | + | 52.5124i | −0.781935 | + | 1.66895i | ||||
\(991\) | −15.3026 | + | 26.5048i | −0.486102 | + | 0.841953i | −0.999872 | − | 0.0159743i | \(-0.994915\pi\) |
0.513770 | + | 0.857928i | \(0.328248\pi\) | |||||||
\(992\) | 61.6335 | − | 61.6335i | 1.95686 | − | 1.95686i | ||||
\(993\) | 54.0168 | + | 1.10760i | 1.71417 | + | 0.0351487i | ||||
\(994\) | 84.8917 | + | 38.9329i | 2.69260 | + | 1.23488i | ||||
\(995\) | 3.65809 | − | 4.72370i | 0.115969 | − | 0.149751i | ||||
\(996\) | 21.1940 | + | 86.1221i | 0.671557 | + | 2.72888i | ||||
\(997\) | 35.8731 | + | 9.61218i | 1.13611 | + | 0.304421i | 0.777387 | − | 0.629022i | \(-0.216544\pi\) |
0.358726 | + | 0.933443i | \(0.383211\pi\) | |||||||
\(998\) | −24.1416 | − | 90.0978i | −0.764190 | − | 2.85199i | ||||
\(999\) | −2.78846 | + | 8.32225i | −0.0882231 | + | 0.263304i |
(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 | 315.2.bs.e.52.2 | ✓ | 160 | |
3.2 | odd | 2 | 945.2.bv.e.262.39 | 160 | |||
5.3 | odd | 4 | inner | 315.2.bs.e.178.2 | yes | 160 | |
7.5 | odd | 6 | 315.2.cg.e.187.2 | yes | 160 | ||
9.4 | even | 3 | 315.2.cg.e.157.39 | yes | 160 | ||
9.5 | odd | 6 | 945.2.cj.e.577.2 | 160 | |||
15.8 | even | 4 | 945.2.bv.e.73.39 | 160 | |||
21.5 | even | 6 | 945.2.cj.e.397.39 | 160 | |||
35.33 | even | 12 | 315.2.cg.e.313.39 | yes | 160 | ||
45.13 | odd | 12 | 315.2.cg.e.283.2 | yes | 160 | ||
45.23 | even | 12 | 945.2.cj.e.388.39 | 160 | |||
63.5 | even | 6 | 945.2.bv.e.712.39 | 160 | |||
63.40 | odd | 6 | inner | 315.2.bs.e.292.2 | yes | 160 | |
105.68 | odd | 12 | 945.2.cj.e.208.2 | 160 | |||
315.68 | odd | 12 | 945.2.bv.e.523.39 | 160 | |||
315.103 | even | 12 | inner | 315.2.bs.e.103.2 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bs.e.52.2 | ✓ | 160 | 1.1 | even | 1 | trivial | |
315.2.bs.e.103.2 | yes | 160 | 315.103 | even | 12 | inner | |
315.2.bs.e.178.2 | yes | 160 | 5.3 | odd | 4 | inner | |
315.2.bs.e.292.2 | yes | 160 | 63.40 | odd | 6 | inner | |
315.2.cg.e.157.39 | yes | 160 | 9.4 | even | 3 | ||
315.2.cg.e.187.2 | yes | 160 | 7.5 | odd | 6 | ||
315.2.cg.e.283.2 | yes | 160 | 45.13 | odd | 12 | ||
315.2.cg.e.313.39 | yes | 160 | 35.33 | even | 12 | ||
945.2.bv.e.73.39 | 160 | 15.8 | even | 4 | |||
945.2.bv.e.262.39 | 160 | 3.2 | odd | 2 | |||
945.2.bv.e.523.39 | 160 | 315.68 | odd | 12 | |||
945.2.bv.e.712.39 | 160 | 63.5 | even | 6 | |||
945.2.cj.e.208.2 | 160 | 105.68 | odd | 12 | |||
945.2.cj.e.388.39 | 160 | 45.23 | even | 12 | |||
945.2.cj.e.397.39 | 160 | 21.5 | even | 6 | |||
945.2.cj.e.577.2 | 160 | 9.5 | odd | 6 |