Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,5,Mod(23,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.23");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.l (of order \(18\), degree \(6\), 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: | \(7.85611719437\) |
Analytic rank: | \(0\) |
Dimension: | \(228\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 23.6 | ||
Character | \(\chi\) | \(=\) | 76.23 |
Dual form | 76.5.l.a.43.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.55482 | + | 1.83391i | −0.888706 | + | 0.458478i | ||||
\(3\) | −12.3954 | + | 2.18564i | −1.37726 | + | 0.242849i | −0.812769 | − | 0.582587i | \(-0.802041\pi\) |
−0.564496 | + | 0.825436i | \(0.690930\pi\) | |||||||
\(4\) | 9.27354 | − | 13.0385i | 0.579596 | − | 0.814904i | ||||
\(5\) | −26.3005 | + | 22.0687i | −1.05202 | + | 0.882749i | −0.993305 | − | 0.115526i | \(-0.963145\pi\) |
−0.0587151 | + | 0.998275i | \(0.518700\pi\) | |||||||
\(6\) | 40.0551 | − | 30.5016i | 1.11264 | − | 0.847267i | ||||
\(7\) | −82.9404 | − | 47.8857i | −1.69266 | − | 0.977259i | −0.952356 | − | 0.304989i | \(-0.901347\pi\) |
−0.740306 | − | 0.672270i | \(-0.765319\pi\) | |||||||
\(8\) | −9.05443 | + | 63.3563i | −0.141475 | + | 0.989942i | ||||
\(9\) | 72.7534 | − | 26.4801i | 0.898190 | − | 0.326914i | ||||
\(10\) | 53.0215 | − | 126.683i | 0.530215 | − | 1.26683i | ||||
\(11\) | −45.2460 | + | 26.1228i | −0.373934 | + | 0.215891i | −0.675176 | − | 0.737657i | \(-0.735932\pi\) |
0.301242 | + | 0.953548i | \(0.402599\pi\) | |||||||
\(12\) | −86.4517 | + | 181.885i | −0.600359 | + | 1.26309i | ||||
\(13\) | −18.4064 | + | 104.388i | −0.108914 | + | 0.617680i | 0.880671 | + | 0.473728i | \(0.157092\pi\) |
−0.989585 | + | 0.143952i | \(0.954019\pi\) | |||||||
\(14\) | 382.657 | + | 18.1198i | 1.95233 | + | 0.0924478i | ||||
\(15\) | 277.770 | − | 331.034i | 1.23453 | − | 1.47126i | ||||
\(16\) | −84.0029 | − | 241.825i | −0.328136 | − | 0.944630i | ||||
\(17\) | 172.470 | + | 62.7741i | 0.596784 | + | 0.217211i | 0.622710 | − | 0.782452i | \(-0.286031\pi\) |
−0.0259268 | + | 0.999664i | \(0.508254\pi\) | |||||||
\(18\) | −210.063 | + | 227.555i | −0.648344 | + | 0.702331i | ||||
\(19\) | 360.978 | − | 3.95319i | 0.999940 | − | 0.0109507i | ||||
\(20\) | 43.8436 | + | 547.573i | 0.109609 | + | 1.36893i | ||||
\(21\) | 1132.74 | + | 412.283i | 2.56857 | + | 0.934883i | ||||
\(22\) | 112.935 | − | 175.839i | 0.233336 | − | 0.363304i | ||||
\(23\) | −430.190 | + | 512.681i | −0.813214 | + | 0.969151i | −0.999912 | − | 0.0132663i | \(-0.995777\pi\) |
0.186698 | + | 0.982417i | \(0.440222\pi\) | |||||||
\(24\) | −26.2409 | − | 805.115i | −0.0455572 | − | 1.39777i | ||||
\(25\) | 96.1568 | − | 545.332i | 0.153851 | − | 0.872531i | ||||
\(26\) | −126.007 | − | 404.836i | −0.186400 | − | 0.598870i | ||||
\(27\) | 38.9953 | − | 22.5139i | 0.0534915 | − | 0.0308833i | ||||
\(28\) | −1393.51 | + | 637.346i | −1.77743 | + | 0.812941i | ||||
\(29\) | 159.392 | − | 58.0139i | 0.189527 | − | 0.0689821i | −0.245513 | − | 0.969393i | \(-0.578956\pi\) |
0.435040 | + | 0.900411i | \(0.356734\pi\) | |||||||
\(30\) | −380.338 | + | 1686.17i | −0.422598 | + | 1.87353i | ||||
\(31\) | −1324.70 | − | 764.813i | −1.37846 | − | 0.795852i | −0.386482 | − | 0.922297i | \(-0.626310\pi\) |
−0.991974 | + | 0.126445i | \(0.959643\pi\) | |||||||
\(32\) | 742.102 | + | 705.593i | 0.724709 | + | 0.689055i | ||||
\(33\) | 503.746 | − | 422.693i | 0.462577 | − | 0.388148i | ||||
\(34\) | −728.224 | + | 93.1446i | −0.629952 | + | 0.0805749i | ||||
\(35\) | 3238.15 | − | 570.973i | 2.64339 | − | 0.466101i | ||||
\(36\) | 329.422 | − | 1194.16i | 0.254184 | − | 0.921417i | ||||
\(37\) | −1216.54 | −0.888634 | −0.444317 | − | 0.895870i | \(-0.646554\pi\) | ||||
−0.444317 | + | 0.895870i | \(0.646554\pi\) | |||||||
\(38\) | −1275.96 | + | 676.055i | −0.883632 | + | 0.468182i | ||||
\(39\) | − | 1334.16i | − | 0.877158i | ||||||
\(40\) | −1160.06 | − | 1866.12i | −0.725035 | − | 1.16633i | ||||
\(41\) | −426.483 | − | 2418.70i | −0.253708 | − | 1.43885i | −0.799368 | − | 0.600842i | \(-0.794832\pi\) |
0.545660 | − | 0.838007i | \(-0.316279\pi\) | |||||||
\(42\) | −4782.78 | + | 611.748i | −2.71133 | + | 0.346796i | ||||
\(43\) | 32.3779 | + | 38.5864i | 0.0175110 | + | 0.0208688i | 0.774729 | − | 0.632294i | \(-0.217886\pi\) |
−0.757218 | + | 0.653162i | \(0.773442\pi\) | |||||||
\(44\) | −78.9896 | + | 832.188i | −0.0408004 | + | 0.429849i | ||||
\(45\) | −1329.07 | + | 2302.01i | −0.656330 | + | 1.13680i | ||||
\(46\) | 589.040 | − | 2611.42i | 0.278374 | − | 1.23413i | ||||
\(47\) | 2.66221 | + | 7.31435i | 0.00120516 | + | 0.00331116i | 0.940294 | − | 0.340364i | \(-0.110550\pi\) |
−0.939089 | + | 0.343675i | \(0.888328\pi\) | |||||||
\(48\) | 1569.79 | + | 2813.92i | 0.681333 | + | 1.22132i | ||||
\(49\) | 3385.58 | + | 5863.99i | 1.41007 | + | 2.44231i | ||||
\(50\) | 658.270 | + | 2114.90i | 0.263308 | + | 0.845961i | ||||
\(51\) | −2275.04 | − | 401.151i | −0.874679 | − | 0.154229i | ||||
\(52\) | 1190.37 | + | 1208.04i | 0.440224 | + | 0.446759i | ||||
\(53\) | −573.054 | − | 480.850i | −0.204006 | − | 0.171182i | 0.535060 | − | 0.844814i | \(-0.320289\pi\) |
−0.739067 | + | 0.673632i | \(0.764733\pi\) | |||||||
\(54\) | −97.3328 | + | 151.547i | −0.0333789 | + | 0.0519708i | ||||
\(55\) | 613.495 | − | 1685.56i | 0.202808 | − | 0.557211i | ||||
\(56\) | 3784.84 | − | 4821.22i | 1.20690 | − | 1.53738i | ||||
\(57\) | −4465.82 | + | 837.970i | −1.37452 | + | 0.257916i | ||||
\(58\) | −460.218 | + | 498.540i | −0.136807 | + | 0.148199i | ||||
\(59\) | −5.09169 | + | 13.9893i | −0.00146271 | + | 0.00401876i | −0.940422 | − | 0.340010i | \(-0.889570\pi\) |
0.938959 | + | 0.344029i | \(0.111792\pi\) | |||||||
\(60\) | −1740.26 | − | 6691.55i | −0.483405 | − | 1.85876i | ||||
\(61\) | 1631.00 | + | 1368.58i | 0.438324 | + | 0.367798i | 0.835082 | − | 0.550126i | \(-0.185420\pi\) |
−0.396758 | + | 0.917923i | \(0.629865\pi\) | |||||||
\(62\) | 6111.66 | + | 289.403i | 1.58992 | + | 0.0752869i | ||||
\(63\) | −7302.22 | − | 1287.58i | −1.83981 | − | 0.324409i | ||||
\(64\) | −3932.03 | − | 1147.31i | −0.959969 | − | 0.280105i | ||||
\(65\) | −1819.61 | − | 3151.66i | −0.430677 | − | 0.745955i | ||||
\(66\) | −1015.55 | + | 2426.43i | −0.233137 | + | 0.557031i | ||||
\(67\) | 505.748 | + | 1389.53i | 0.112664 | + | 0.309542i | 0.983191 | − | 0.182578i | \(-0.0584443\pi\) |
−0.870527 | + | 0.492120i | \(0.836222\pi\) | |||||||
\(68\) | 2417.89 | − | 1666.61i | 0.522900 | − | 0.360426i | ||||
\(69\) | 4211.84 | − | 7295.12i | 0.884654 | − | 1.53227i | ||||
\(70\) | −10463.9 | + | 7968.19i | −2.13550 | + | 1.62616i | ||||
\(71\) | 4482.54 | + | 5342.09i | 0.889217 | + | 1.05973i | 0.997843 | + | 0.0656450i | \(0.0209105\pi\) |
−0.108626 | + | 0.994083i | \(0.534645\pi\) | |||||||
\(72\) | 1018.94 | + | 4849.15i | 0.196554 | + | 0.935406i | ||||
\(73\) | −828.757 | − | 4700.11i | −0.155518 | − | 0.881988i | −0.958310 | − | 0.285729i | \(-0.907764\pi\) |
0.802792 | − | 0.596259i | \(-0.203347\pi\) | |||||||
\(74\) | 4324.59 | − | 2231.03i | 0.789735 | − | 0.407419i | ||||
\(75\) | 6969.76i | 1.23907i | ||||||||
\(76\) | 3296.00 | − | 4743.26i | 0.570638 | − | 0.821202i | ||||
\(77\) | 5003.63 | 0.843924 | ||||||||
\(78\) | 2446.73 | + | 4742.70i | 0.402158 | + | 0.779536i | ||||
\(79\) | 4675.80 | − | 824.469i | 0.749207 | − | 0.132105i | 0.214008 | − | 0.976832i | \(-0.431348\pi\) |
0.535198 | + | 0.844727i | \(0.320237\pi\) | |||||||
\(80\) | 7546.10 | + | 4506.29i | 1.17908 | + | 0.704108i | ||||
\(81\) | −5238.19 | + | 4395.37i | −0.798383 | + | 0.669923i | ||||
\(82\) | 5951.76 | + | 7815.94i | 0.885152 | + | 1.16239i | ||||
\(83\) | 4488.79 | + | 2591.60i | 0.651588 | + | 0.376195i | 0.789064 | − | 0.614311i | \(-0.210566\pi\) |
−0.137476 | + | 0.990505i | \(0.543899\pi\) | |||||||
\(84\) | 15880.0 | − | 10945.9i | 2.25057 | − | 1.55128i | ||||
\(85\) | −5921.40 | + | 2155.21i | −0.819571 | + | 0.298300i | ||||
\(86\) | −185.862 | − | 77.7898i | −0.0251300 | − | 0.0105178i | ||||
\(87\) | −1848.93 | + | 1067.48i | −0.244276 | + | 0.141033i | ||||
\(88\) | −1245.37 | − | 3103.14i | −0.160817 | − | 0.400716i | ||||
\(89\) | 1043.47 | − | 5917.79i | 0.131734 | − | 0.747101i | −0.845344 | − | 0.534222i | \(-0.820605\pi\) |
0.977079 | − | 0.212879i | \(-0.0682841\pi\) | |||||||
\(90\) | 502.915 | − | 10620.6i | 0.0620883 | − | 1.31119i | ||||
\(91\) | 6525.32 | − | 7776.58i | 0.787987 | − | 0.939087i | ||||
\(92\) | 2695.18 | + | 10363.4i | 0.318429 | + | 1.22441i | ||||
\(93\) | 18091.7 | + | 6584.85i | 2.09177 | + | 0.761342i | ||||
\(94\) | −22.8775 | − | 21.1190i | −0.00258913 | − | 0.00239011i | ||||
\(95\) | −9406.67 | + | 8070.31i | −1.04229 | + | 0.894217i | ||||
\(96\) | −10740.8 | − | 7124.13i | −1.16545 | − | 0.773017i | ||||
\(97\) | −8368.03 | − | 3045.71i | −0.889365 | − | 0.323702i | −0.143382 | − | 0.989667i | \(-0.545798\pi\) |
−0.745983 | + | 0.665965i | \(0.768020\pi\) | |||||||
\(98\) | −22789.2 | − | 14636.6i | −2.37288 | − | 1.52401i | ||||
\(99\) | −2600.07 | + | 3098.64i | −0.265286 | + | 0.316155i | ||||
\(100\) | −6218.58 | − | 6310.90i | −0.621858 | − | 0.631090i | ||||
\(101\) | 1182.97 | − | 6708.96i | 0.115966 | − | 0.657677i | −0.870301 | − | 0.492520i | \(-0.836076\pi\) |
0.986267 | − | 0.165157i | \(-0.0528131\pi\) | |||||||
\(102\) | 8823.04 | − | 2746.20i | 0.848043 | − | 0.263956i | ||||
\(103\) | −12488.9 | + | 7210.45i | −1.17720 | + | 0.679654i | −0.955364 | − | 0.295431i | \(-0.904537\pi\) |
−0.221831 | + | 0.975085i | \(0.571203\pi\) | |||||||
\(104\) | −6446.97 | − | 2111.33i | −0.596059 | − | 0.195205i | ||||
\(105\) | −38890.2 | + | 14154.9i | −3.52745 | + | 1.28389i | ||||
\(106\) | 2918.94 | + | 658.405i | 0.259785 | + | 0.0585978i | ||||
\(107\) | −5730.94 | − | 3308.76i | −0.500563 | − | 0.289000i | 0.228383 | − | 0.973571i | \(-0.426656\pi\) |
−0.728946 | + | 0.684571i | \(0.759989\pi\) | |||||||
\(108\) | 68.0773 | − | 717.222i | 0.00583653 | − | 0.0614902i | ||||
\(109\) | 17357.4 | − | 14564.6i | 1.46094 | − | 1.22587i | 0.536855 | − | 0.843675i | \(-0.319612\pi\) |
0.924081 | − | 0.382196i | \(-0.124832\pi\) | |||||||
\(110\) | 910.307 | + | 7116.97i | 0.0752320 | + | 0.588180i | ||||
\(111\) | 15079.5 | − | 2658.92i | 1.22388 | − | 0.215804i | ||||
\(112\) | −4612.74 | + | 24079.6i | −0.367725 | + | 1.91961i | ||||
\(113\) | 5235.13 | 0.409987 | 0.204994 | − | 0.978763i | \(-0.434283\pi\) | ||||
0.204994 | + | 0.978763i | \(0.434283\pi\) | |||||||
\(114\) | 14338.5 | − | 11168.8i | 1.10330 | − | 0.859400i | ||||
\(115\) | − | 22977.5i | − | 1.73743i | ||||||
\(116\) | 721.715 | − | 2616.22i | 0.0536352 | − | 0.194428i | ||||
\(117\) | 1425.07 | + | 8081.98i | 0.104103 | + | 0.590400i | ||||
\(118\) | −7.55507 | − | 59.0672i | −0.000542594 | − | 0.00424211i | ||||
\(119\) | −11298.8 | − | 13465.4i | −0.797881 | − | 0.950878i | ||||
\(120\) | 18458.0 | + | 20595.8i | 1.28181 | + | 1.43026i | ||||
\(121\) | −5955.70 | + | 10315.6i | −0.406782 | + | 0.704568i | ||||
\(122\) | −8307.78 | − | 1873.93i | −0.558168 | − | 0.125902i | ||||
\(123\) | 10572.8 | + | 29048.6i | 0.698846 | + | 1.92006i | ||||
\(124\) | −22256.6 | + | 10179.5i | −1.44749 | + | 0.662036i | ||||
\(125\) | −1223.20 | − | 2118.64i | −0.0782847 | − | 0.135593i | ||||
\(126\) | 28319.4 | − | 8814.50i | 1.78379 | − | 0.555209i | ||||
\(127\) | 9634.42 | + | 1698.81i | 0.597335 | + | 0.105326i | 0.464138 | − | 0.885763i | \(-0.346364\pi\) |
0.133198 | + | 0.991089i | \(0.457475\pi\) | |||||||
\(128\) | 16081.8 | − | 3132.52i | 0.981552 | − | 0.191194i | ||||
\(129\) | −485.672 | − | 407.527i | −0.0291853 | − | 0.0244893i | ||||
\(130\) | 12248.3 | + | 7866.59i | 0.724749 | + | 0.465479i | ||||
\(131\) | −9788.25 | + | 26893.0i | −0.570378 | + | 1.56710i | 0.233532 | + | 0.972349i | \(0.424972\pi\) |
−0.803910 | + | 0.594751i | \(0.797251\pi\) | |||||||
\(132\) | −839.758 | − | 10487.9i | −0.0481955 | − | 0.601925i | ||||
\(133\) | −30129.0 | − | 16957.8i | −1.70326 | − | 0.958664i | ||||
\(134\) | −4346.12 | − | 4012.04i | −0.242043 | − | 0.223438i | ||||
\(135\) | −528.741 | + | 1452.70i | −0.0290118 | + | 0.0797094i | ||||
\(136\) | −5538.76 | + | 10358.7i | −0.299457 | + | 0.560051i | ||||
\(137\) | 6112.37 | + | 5128.88i | 0.325663 | + | 0.273264i | 0.790930 | − | 0.611907i | \(-0.209597\pi\) |
−0.465267 | + | 0.885170i | \(0.654042\pi\) | |||||||
\(138\) | −1593.75 | + | 33657.0i | −0.0836875 | + | 1.76733i | ||||
\(139\) | 4170.66 | + | 735.400i | 0.215862 | + | 0.0380622i | 0.280533 | − | 0.959844i | \(-0.409489\pi\) |
−0.0646714 | + | 0.997907i | \(0.520600\pi\) | |||||||
\(140\) | 22584.5 | − | 47515.4i | 1.15227 | − | 2.42426i | ||||
\(141\) | −48.9856 | − | 84.8455i | −0.00246394 | − | 0.00426767i | ||||
\(142\) | −25731.6 | − | 10769.6i | −1.27611 | − | 0.534100i | ||||
\(143\) | −1894.09 | − | 5203.96i | −0.0926249 | − | 0.254485i | ||||
\(144\) | −12515.0 | − | 15369.2i | −0.603542 | − | 0.741185i | ||||
\(145\) | −2911.79 | + | 5043.37i | −0.138492 | + | 0.239875i | ||||
\(146\) | 11565.7 | + | 15188.2i | 0.542582 | + | 0.712526i | ||||
\(147\) | −54782.1 | − | 65286.8i | −2.53515 | − | 3.02128i | ||||
\(148\) | −11281.6 | + | 15861.8i | −0.515049 | + | 0.724152i | ||||
\(149\) | 4184.26 | + | 23730.1i | 0.188472 | + | 1.06888i | 0.921413 | + | 0.388584i | \(0.127036\pi\) |
−0.732942 | + | 0.680291i | \(0.761853\pi\) | |||||||
\(150\) | −12781.9 | − | 24776.3i | −0.568086 | − | 1.10117i | ||||
\(151\) | 11836.1i | 0.519103i | 0.965729 | + | 0.259551i | \(0.0835747\pi\) | ||||
−0.965729 | + | 0.259551i | \(0.916425\pi\) | |||||||
\(152\) | −3017.99 | + | 22906.0i | −0.130626 | + | 0.991432i | ||||
\(153\) | 14210.1 | 0.607035 | ||||||||
\(154\) | −17787.0 | + | 9176.21i | −0.750000 | + | 0.386920i | ||||
\(155\) | 51718.6 | − | 9119.39i | 2.15270 | − | 0.379579i | ||||
\(156\) | −17395.4 | − | 12372.4i | −0.714800 | − | 0.508398i | ||||
\(157\) | 7131.92 | − | 5984.39i | 0.289339 | − | 0.242784i | −0.486551 | − | 0.873652i | \(-0.661745\pi\) |
0.775891 | + | 0.630868i | \(0.217301\pi\) | |||||||
\(158\) | −15109.6 | + | 11505.8i | −0.605257 | + | 0.460897i | ||||
\(159\) | 8154.19 | + | 4707.82i | 0.322542 | + | 0.186220i | ||||
\(160\) | −35089.2 | − | 2180.19i | −1.37067 | − | 0.0851639i | ||||
\(161\) | 60230.3 | − | 21922.0i | 2.32361 | − | 0.845724i | ||||
\(162\) | 10560.1 | − | 25231.1i | 0.402383 | − | 0.961406i | ||||
\(163\) | 27755.8 | − | 16024.8i | 1.04467 | − | 0.603140i | 0.123517 | − | 0.992342i | \(-0.460583\pi\) |
0.921152 | + | 0.389202i | \(0.127249\pi\) | |||||||
\(164\) | −35491.2 | − | 16869.3i | −1.31957 | − | 0.627204i | ||||
\(165\) | −3920.47 | + | 22234.1i | −0.144002 | + | 0.816679i | ||||
\(166\) | −20709.6 | − | 980.654i | −0.751547 | − | 0.0355877i | ||||
\(167\) | 16818.4 | − | 20043.4i | 0.603049 | − | 0.718686i | −0.375009 | − | 0.927021i | \(-0.622360\pi\) |
0.978057 | + | 0.208336i | \(0.0668047\pi\) | |||||||
\(168\) | −36377.0 | + | 68033.2i | −1.28887 | + | 2.41047i | ||||
\(169\) | 16280.5 | + | 5925.63i | 0.570026 | + | 0.207473i | ||||
\(170\) | 17097.1 | − | 18520.7i | 0.591594 | − | 0.640856i | ||||
\(171\) | 26157.7 | − | 9846.34i | 0.894556 | − | 0.336731i | ||||
\(172\) | 803.365 | − | 64.3246i | 0.0271554 | − | 0.00217430i | ||||
\(173\) | 1063.12 | + | 386.944i | 0.0355214 | + | 0.0129287i | 0.359720 | − | 0.933060i | \(-0.382872\pi\) |
−0.324198 | + | 0.945989i | \(0.605095\pi\) | |||||||
\(174\) | 4614.95 | − | 7185.46i | 0.152429 | − | 0.237332i | ||||
\(175\) | −34088.9 | + | 40625.5i | −1.11311 | + | 1.32655i | ||||
\(176\) | 10117.9 | + | 8747.23i | 0.326638 | + | 0.282387i | ||||
\(177\) | 32.5379 | − | 184.531i | 0.00103859 | − | 0.00589011i | ||||
\(178\) | 7143.36 | + | 22950.3i | 0.225456 | + | 0.724350i | ||||
\(179\) | 14611.9 | − | 8436.18i | 0.456037 | − | 0.263293i | −0.254339 | − | 0.967115i | \(-0.581858\pi\) |
0.710376 | + | 0.703822i | \(0.248525\pi\) | |||||||
\(180\) | 17689.5 | + | 38676.8i | 0.545974 | + | 1.19373i | ||||
\(181\) | 17322.3 | − | 6304.78i | 0.528746 | − | 0.192448i | −0.0638322 | − | 0.997961i | \(-0.520332\pi\) |
0.592578 | + | 0.805513i | \(0.298110\pi\) | |||||||
\(182\) | −8934.82 | + | 39611.2i | −0.269739 | + | 1.19585i | ||||
\(183\) | −23208.1 | − | 13399.2i | −0.693008 | − | 0.400108i | ||||
\(184\) | −28586.4 | − | 31897.3i | −0.844353 | − | 0.942146i | ||||
\(185\) | 31995.6 | − | 26847.5i | 0.934861 | − | 0.784441i | ||||
\(186\) | −76388.9 | + | 9770.63i | −2.20803 | + | 0.282421i | ||||
\(187\) | −9443.43 | + | 1665.13i | −0.270051 | + | 0.0476173i | ||||
\(188\) | 120.056 | + | 33.1189i | 0.00339678 | + | 0.000937043i | ||||
\(189\) | −4312.38 | −0.120724 | ||||||||
\(190\) | 18638.8 | − | 45939.5i | 0.516311 | − | 1.27256i | ||||
\(191\) | 19746.7i | 0.541288i | 0.962680 | + | 0.270644i | \(0.0872366\pi\) | ||||
−0.962680 | + | 0.270644i | \(0.912763\pi\) | |||||||
\(192\) | 51246.7 | + | 5627.33i | 1.39016 | + | 0.152651i | ||||
\(193\) | −10148.2 | − | 57553.5i | −0.272443 | − | 1.54510i | −0.746968 | − | 0.664860i | \(-0.768491\pi\) |
0.474525 | − | 0.880242i | \(-0.342620\pi\) | |||||||
\(194\) | 35332.4 | − | 4519.25i | 0.938794 | − | 0.120078i | ||||
\(195\) | 29443.2 | + | 35089.0i | 0.774311 | + | 0.922788i | ||||
\(196\) | 107854. | + | 10237.3i | 2.80752 | + | 0.266484i | ||||
\(197\) | −22209.2 | + | 38467.4i | −0.572268 | + | 0.991198i | 0.424064 | + | 0.905632i | \(0.360603\pi\) |
−0.996333 | + | 0.0855658i | \(0.972730\pi\) | |||||||
\(198\) | 3560.15 | − | 15783.4i | 0.0908108 | − | 0.402597i | ||||
\(199\) | −19522.6 | − | 53637.9i | −0.492982 | − | 1.35446i | −0.897938 | − | 0.440122i | \(-0.854935\pi\) |
0.404956 | − | 0.914336i | \(-0.367287\pi\) | |||||||
\(200\) | 33679.6 | + | 11029.8i | 0.841989 | + | 0.275745i | ||||
\(201\) | −9305.96 | − | 16118.4i | −0.230340 | − | 0.398960i | ||||
\(202\) | 8098.39 | + | 26018.6i | 0.198470 | + | 0.637649i | ||||
\(203\) | −15998.1 | − | 2820.89i | −0.388218 | − | 0.0684533i | ||||
\(204\) | −26328.1 | + | 25942.9i | −0.632643 | + | 0.623388i | ||||
\(205\) | 64594.4 | + | 54201.2i | 1.53705 | + | 1.28974i | ||||
\(206\) | 31172.4 | − | 48535.4i | 0.734574 | − | 1.14373i | ||||
\(207\) | −17722.0 | + | 48690.8i | −0.413592 | + | 1.13633i | ||||
\(208\) | 26789.8 | − | 4317.75i | 0.619218 | − | 0.0998000i | ||||
\(209\) | −16229.5 | + | 9608.62i | −0.371547 | + | 0.219973i | ||||
\(210\) | 112289. | − | 121639.i | 2.54623 | − | 2.75826i | ||||
\(211\) | 4249.40 | − | 11675.1i | 0.0954472 | − | 0.262239i | −0.882776 | − | 0.469794i | \(-0.844328\pi\) |
0.978223 | + | 0.207555i | \(0.0665505\pi\) | |||||||
\(212\) | −11583.8 | + | 3012.57i | −0.257738 | + | 0.0670293i | ||||
\(213\) | −67238.7 | − | 56420.0i | −1.48204 | − | 1.24358i | ||||
\(214\) | 26440.5 | + | 1252.02i | 0.577353 | + | 0.0273392i | ||||
\(215\) | −1703.11 | − | 300.304i | −0.0368438 | − | 0.00649656i | ||||
\(216\) | 1073.32 | + | 2674.45i | 0.0230049 | + | 0.0573227i | ||||
\(217\) | 73247.2 | + | 126868.i | 1.55551 | + | 2.69422i | ||||
\(218\) | −34992.3 | + | 83606.4i | −0.736308 | + | 1.75925i | ||||
\(219\) | 20545.5 | + | 56448.4i | 0.428380 | + | 1.17696i | ||||
\(220\) | −16287.9 | − | 23630.2i | −0.336526 | − | 0.488226i | ||||
\(221\) | −9727.42 | + | 16848.4i | −0.199165 | + | 0.344964i | ||||
\(222\) | −48728.7 | + | 37106.4i | −0.988732 | + | 0.752910i | ||||
\(223\) | −33977.1 | − | 40492.3i | −0.683245 | − | 0.814260i | 0.307276 | − | 0.951620i | \(-0.400583\pi\) |
−0.990521 | + | 0.137361i | \(0.956138\pi\) | |||||||
\(224\) | −27762.4 | − | 94058.2i | −0.553301 | − | 1.87457i | ||||
\(225\) | −7444.70 | − | 42221.0i | −0.147056 | − | 0.833995i | ||||
\(226\) | −18610.0 | + | 9600.76i | −0.364358 | + | 0.187970i | ||||
\(227\) | − | 43500.3i | − | 0.844191i | −0.906551 | − | 0.422096i | \(-0.861295\pi\) | ||
0.906551 | − | 0.422096i | \(-0.138705\pi\) | |||||||
\(228\) | −30488.2 | + | 65998.4i | −0.586491 | + | 1.26959i | ||||
\(229\) | −14850.9 | −0.283192 | −0.141596 | − | 0.989925i | \(-0.545223\pi\) | ||||
−0.141596 | + | 0.989925i | \(0.545223\pi\) | |||||||
\(230\) | 42138.7 | + | 81681.0i | 0.796573 | + | 1.54406i | ||||
\(231\) | −62021.9 | + | 10936.1i | −1.16231 | + | 0.204946i | ||||
\(232\) | 2232.34 | + | 10623.8i | 0.0414749 | + | 0.197380i | ||||
\(233\) | −6146.18 | + | 5157.25i | −0.113212 | + | 0.0949963i | −0.697636 | − | 0.716452i | \(-0.745765\pi\) |
0.584424 | + | 0.811448i | \(0.301320\pi\) | |||||||
\(234\) | −19887.5 | − | 26116.6i | −0.363202 | − | 0.476962i | ||||
\(235\) | −231.436 | − | 133.619i | −0.00419078 | − | 0.00241955i | ||||
\(236\) | 135.181 | + | 196.118i | 0.00242712 | + | 0.00352122i | ||||
\(237\) | −56156.3 | + | 20439.2i | −0.999774 | + | 0.363888i | ||||
\(238\) | 64859.5 | + | 27146.1i | 1.14504 | + | 0.479240i | ||||
\(239\) | −27463.0 | + | 15855.8i | −0.480787 | + | 0.277582i | −0.720744 | − | 0.693201i | \(-0.756200\pi\) |
0.239958 | + | 0.970783i | \(0.422866\pi\) | |||||||
\(240\) | −103386. | − | 39364.1i | −1.79489 | − | 0.683405i | ||||
\(241\) | 3266.61 | − | 18525.9i | 0.0562423 | − | 0.318966i | −0.943687 | − | 0.330839i | \(-0.892668\pi\) |
0.999930 | + | 0.0118729i | \(0.00377936\pi\) | |||||||
\(242\) | 2253.62 | − | 47592.3i | 0.0384813 | − | 0.812654i | ||||
\(243\) | 52978.3 | − | 63137.1i | 0.897192 | − | 1.06923i | ||||
\(244\) | 32969.3 | − | 8574.25i | 0.553771 | − | 0.144018i | ||||
\(245\) | −218453. | − | 79510.5i | −3.63937 | − | 1.32462i | ||||
\(246\) | −90857.2 | − | 83873.1i | −1.50137 | − | 1.38597i | ||||
\(247\) | −6231.65 | + | 37754.5i | −0.102143 | + | 0.618836i | ||||
\(248\) | 60450.1 | − | 77002.8i | 0.982864 | − | 1.25200i | ||||
\(249\) | −61304.6 | − | 22313.0i | −0.988768 | − | 0.359882i | ||||
\(250\) | 8233.66 | + | 5288.16i | 0.131739 | + | 0.0846106i | ||||
\(251\) | −62461.9 | + | 74439.2i | −0.991443 | + | 1.18156i | −0.00806839 | + | 0.999967i | \(0.502568\pi\) |
−0.983375 | + | 0.181588i | \(0.941876\pi\) | |||||||
\(252\) | −84505.4 | + | 83269.2i | −1.33071 | + | 1.31124i | ||||
\(253\) | 6071.73 | − | 34434.5i | 0.0948575 | − | 0.537964i | ||||
\(254\) | −37364.1 | + | 11629.7i | −0.579145 | + | 0.180261i | ||||
\(255\) | 68687.5 | − | 39656.8i | 1.05633 | − | 0.609870i | ||||
\(256\) | −51423.0 | + | 40628.1i | −0.784653 | + | 0.619935i | ||||
\(257\) | 65688.5 | − | 23908.7i | 0.994542 | − | 0.361984i | 0.207065 | − | 0.978327i | \(-0.433609\pi\) |
0.787477 | + | 0.616344i | \(0.211387\pi\) | |||||||
\(258\) | 2473.85 | + | 558.008i | 0.0371649 | + | 0.00838303i | ||||
\(259\) | 100900. | + | 58254.9i | 1.50416 | + | 0.868426i | ||||
\(260\) | −57967.0 | − | 5502.11i | −0.857500 | − | 0.0813922i | ||||
\(261\) | 10060.1 | − | 8441.42i | 0.147680 | − | 0.123918i | ||||
\(262\) | −14523.9 | − | 113551.i | −0.211582 | − | 1.65420i | ||||
\(263\) | 69331.5 | − | 12225.0i | 1.00235 | − | 0.176741i | 0.351695 | − | 0.936115i | \(-0.385605\pi\) |
0.650655 | + | 0.759373i | \(0.274494\pi\) | |||||||
\(264\) | 22219.1 | + | 35742.7i | 0.318801 | + | 0.512837i | ||||
\(265\) | 25683.3 | 0.365729 | ||||||||
\(266\) | 138202. | + | 5028.13i | 1.95323 | + | 0.0710630i | ||||
\(267\) | 75633.9i | 1.06095i | ||||||||
\(268\) | 22807.4 | + | 6291.70i | 0.317546 | + | 0.0875989i | ||||
\(269\) | 12725.3 | + | 72168.8i | 0.175859 | + | 0.997344i | 0.937148 | + | 0.348932i | \(0.113456\pi\) |
−0.761289 | + | 0.648412i | \(0.775433\pi\) | |||||||
\(270\) | −784.549 | − | 6133.77i | −0.0107620 | − | 0.0841395i | ||||
\(271\) | −72643.3 | − | 86572.9i | −0.989138 | − | 1.17881i | −0.983881 | − | 0.178822i | \(-0.942771\pi\) |
−0.00525655 | − | 0.999986i | \(-0.501673\pi\) | |||||||
\(272\) | 692.360 | − | 46980.9i | 0.00935824 | − | 0.635015i | ||||
\(273\) | −63887.1 | + | 110656.i | −0.857211 | + | 1.48473i | ||||
\(274\) | −31134.3 | − | 7022.74i | −0.414704 | − | 0.0935418i | ||||
\(275\) | 9894.88 | + | 27186.0i | 0.130841 | + | 0.359484i | ||||
\(276\) | −56058.5 | − | 122567.i | −0.735907 | − | 1.60900i | ||||
\(277\) | −1784.11 | − | 3090.17i | −0.0232521 | − | 0.0402739i | 0.854165 | − | 0.520002i | \(-0.174069\pi\) |
−0.877417 | + | 0.479728i | \(0.840735\pi\) | |||||||
\(278\) | −16174.6 | + | 5034.40i | −0.209288 | + | 0.0651416i | ||||
\(279\) | −116628. | − | 20564.7i | −1.49829 | − | 0.264189i | ||||
\(280\) | 6855.14 | + | 210327.i | 0.0874380 | + | 2.68274i | ||||
\(281\) | −23984.9 | − | 20125.8i | −0.303757 | − | 0.254882i | 0.478149 | − | 0.878279i | \(-0.341308\pi\) |
−0.781906 | + | 0.623396i | \(0.785752\pi\) | |||||||
\(282\) | 329.734 | + | 211.776i | 0.00414635 | + | 0.00266304i | ||||
\(283\) | 11801.4 | − | 32424.2i | 0.147354 | − | 0.404852i | −0.843954 | − | 0.536416i | \(-0.819778\pi\) |
0.991308 | + | 0.131564i | \(0.0419999\pi\) | |||||||
\(284\) | 111222. | − | 8905.40i | 1.37896 | − | 0.110412i | ||||
\(285\) | 98960.4 | − | 120594.i | 1.21835 | − | 1.48469i | ||||
\(286\) | 16276.7 | + | 15025.6i | 0.198992 | + | 0.183696i | ||||
\(287\) | −80448.6 | + | 221031.i | −0.976686 | + | 2.68342i | ||||
\(288\) | 72674.6 | + | 31683.4i | 0.876188 | + | 0.381985i | ||||
\(289\) | −38175.3 | − | 32032.9i | −0.457075 | − | 0.383531i | ||||
\(290\) | 1101.81 | − | 23268.3i | 0.0131012 | − | 0.276674i | ||||
\(291\) | 110382. | + | 19463.3i | 1.30350 | + | 0.229842i | ||||
\(292\) | −68967.8 | − | 32781.0i | −0.808873 | − | 0.384465i | ||||
\(293\) | −11236.5 | − | 19462.2i | −0.130887 | − | 0.226703i | 0.793132 | − | 0.609050i | \(-0.208449\pi\) |
−0.924019 | + | 0.382347i | \(0.875116\pi\) | |||||||
\(294\) | 314471. | + | 131617.i | 3.63819 | + | 1.52272i | ||||
\(295\) | −174.812 | − | 480.293i | −0.00200876 | − | 0.00551902i | ||||
\(296\) | 11015.1 | − | 77075.5i | 0.125720 | − | 0.879696i | ||||
\(297\) | −1176.25 | + | 2037.33i | −0.0133348 | + | 0.0230966i | ||||
\(298\) | −58393.2 | − | 76682.8i | −0.657551 | − | 0.863506i | ||||
\(299\) | −45599.4 | − | 54343.3i | −0.510055 | − | 0.607860i | ||||
\(300\) | 90875.0 | + | 64634.4i | 1.00972 | + | 0.718160i | ||||
\(301\) | −837.696 | − | 4750.81i | −0.00924599 | − | 0.0524366i | ||||
\(302\) | −21706.3 | − | 42075.1i | −0.237997 | − | 0.461330i | ||||
\(303\) | 85745.7i | 0.933958i | ||||||||
\(304\) | −31279.2 | − | 86961.7i | −0.338461 | − | 0.940980i | ||||
\(305\) | −73098.9 | −0.785799 | ||||||||
\(306\) | −50514.3 | + | 26060.0i | −0.539475 | + | 0.278312i | ||||
\(307\) | 83935.2 | − | 14800.0i | 0.890569 | − | 0.157031i | 0.290401 | − | 0.956905i | \(-0.406211\pi\) |
0.600168 | + | 0.799874i | \(0.295100\pi\) | |||||||
\(308\) | 46401.3 | − | 65239.6i | 0.489135 | − | 0.687717i | ||||
\(309\) | 139045. | − | 116672.i | 1.45626 | − | 1.22194i | ||||
\(310\) | −167126. | + | 127265.i | −1.73909 | + | 1.32430i | ||||
\(311\) | −124152. | − | 71679.4i | −1.28361 | − | 0.741095i | −0.306106 | − | 0.951997i | \(-0.599026\pi\) |
−0.977507 | + | 0.210903i | \(0.932360\pi\) | |||||||
\(312\) | 84527.3 | + | 12080.0i | 0.868336 | + | 0.124096i | ||||
\(313\) | 105640. | − | 38449.8i | 1.07830 | − | 0.392469i | 0.259025 | − | 0.965871i | \(-0.416599\pi\) |
0.819274 | + | 0.573402i | \(0.194377\pi\) | |||||||
\(314\) | −14377.9 | + | 34352.8i | −0.145826 | + | 0.348420i | ||||
\(315\) | 220467. | − | 127287.i | 2.22189 | − | 1.28281i | ||||
\(316\) | 32611.4 | − | 68611.0i | 0.326584 | − | 0.687099i | ||||
\(317\) | −17878.9 | + | 101396.i | −0.177919 | + | 1.00903i | 0.756802 | + | 0.653645i | \(0.226761\pi\) |
−0.934720 | + | 0.355384i | \(0.884350\pi\) | |||||||
\(318\) | −37620.4 | − | 1781.42i | −0.372023 | − | 0.0176162i | ||||
\(319\) | −5696.36 | + | 6788.65i | −0.0559778 | + | 0.0667117i | ||||
\(320\) | 128734. | − | 56600.2i | 1.25717 | − | 0.552736i | ||||
\(321\) | 78269.0 | + | 28487.6i | 0.759591 | + | 0.276468i | ||||
\(322\) | −173905. | + | 188386.i | −1.67726 | + | 1.81692i | ||||
\(323\) | 62506.3 | + | 21978.3i | 0.599127 | + | 0.210663i | ||||
\(324\) | 8732.20 | + | 109059.i | 0.0831828 | + | 1.03889i | ||||
\(325\) | 55156.2 | + | 20075.2i | 0.522189 | + | 0.190061i | ||||
\(326\) | −69278.9 | + | 107867.i | −0.651878 | + | 1.01497i | ||||
\(327\) | −183318. | + | 218470.i | −1.71439 | + | 2.04314i | ||||
\(328\) | 157102. | − | 5120.38i | 1.46027 | − | 0.0475942i | ||||
\(329\) | 129.448 | − | 734.137i | 0.00119593 | − | 0.00678243i | ||||
\(330\) | −26838.7 | − | 86228.0i | −0.246453 | − | 0.791809i | ||||
\(331\) | 68648.0 | − | 39633.9i | 0.626573 | − | 0.361752i | −0.152851 | − | 0.988249i | \(-0.548845\pi\) |
0.779424 | + | 0.626497i | \(0.215512\pi\) | |||||||
\(332\) | 75417.5 | − | 34493.6i | 0.684220 | − | 0.312941i | ||||
\(333\) | −88507.5 | + | 32214.1i | −0.798163 | + | 0.290507i | ||||
\(334\) | −23028.7 | + | 102094.i | −0.206432 | + | 0.915185i | ||||
\(335\) | −43966.6 | − | 25384.2i | −0.391772 | − | 0.226190i | ||||
\(336\) | 4547.23 | − | 308558.i | 0.0402781 | − | 2.73312i | ||||
\(337\) | −63370.6 | + | 53174.3i | −0.557992 | + | 0.468211i | −0.877637 | − | 0.479326i | \(-0.840881\pi\) |
0.319644 | + | 0.947538i | \(0.396437\pi\) | |||||||
\(338\) | −68741.4 | + | 8792.47i | −0.601707 | + | 0.0769622i | ||||
\(339\) | −64891.4 | + | 11442.1i | −0.564661 | + | 0.0995650i | ||||
\(340\) | −26811.7 | + | 97192.5i | −0.231935 | + | 0.840765i | ||||
\(341\) | 79916.2 | 0.687268 | ||||||||
\(342\) | −74928.8 | + | 82972.9i | −0.640614 | + | 0.709389i | ||||
\(343\) | − | 418536.i | − | 3.55750i | ||||||
\(344\) | −2737.86 | + | 1701.96i | −0.0231363 | + | 0.0143825i | ||||
\(345\) | 50220.6 | + | 284815.i | 0.421933 | + | 2.39290i | ||||
\(346\) | −4488.82 | + | 574.149i | −0.0374956 | + | 0.00479593i | ||||
\(347\) | −19426.0 | − | 23151.0i | −0.161334 | − | 0.192270i | 0.679321 | − | 0.733841i | \(-0.262274\pi\) |
−0.840655 | + | 0.541571i | \(0.817830\pi\) | |||||||
\(348\) | −3227.82 | + | 34006.5i | −0.0266533 | + | 0.280804i | ||||
\(349\) | −1532.80 | + | 2654.89i | −0.0125845 | + | 0.0217970i | −0.872249 | − | 0.489062i | \(-0.837339\pi\) |
0.859665 | + | 0.510859i | \(0.170673\pi\) | |||||||
\(350\) | 46676.3 | − | 206933.i | 0.381031 | − | 1.68925i | ||||
\(351\) | 1632.42 | + | 4485.04i | 0.0132500 | + | 0.0364042i | ||||
\(352\) | −52009.1 | − | 12539.5i | −0.419754 | − | 0.101203i | ||||
\(353\) | −43332.2 | − | 75053.5i | −0.347745 | − | 0.602312i | 0.638103 | − | 0.769951i | \(-0.279719\pi\) |
−0.985849 | + | 0.167638i | \(0.946386\pi\) | |||||||
\(354\) | 222.748 | + | 715.648i | 0.00177749 | + | 0.00571075i | ||||
\(355\) | −235786. | − | 41575.5i | −1.87095 | − | 0.329899i | ||||
\(356\) | −67482.2 | − | 68484.0i | −0.532463 | − | 0.540367i | ||||
\(357\) | 169483. | + | 142213.i | 1.32981 | + | 1.11585i | ||||
\(358\) | −36471.5 | + | 56786.0i | −0.284569 | + | 0.443073i | ||||
\(359\) | 29411.4 | − | 80807.0i | 0.228206 | − | 0.626990i | −0.771755 | − | 0.635920i | \(-0.780621\pi\) |
0.999960 | + | 0.00893093i | \(0.00284284\pi\) | |||||||
\(360\) | −133813. | − | 105048.i | −1.03251 | − | 0.810558i | ||||
\(361\) | 130290. | − | 2854.03i | 0.999760 | − | 0.0219000i | ||||
\(362\) | −50015.1 | + | 54179.9i | −0.381667 | + | 0.413448i | ||||
\(363\) | 51277.1 | − | 140883.i | 0.389144 | − | 1.06916i | ||||
\(364\) | −40881.7 | − | 157197.i | −0.308551 | − | 1.18642i | ||||
\(365\) | 125522. | + | 105326.i | 0.942183 | + | 0.790585i | ||||
\(366\) | 107074. | + | 5070.22i | 0.799321 | + | 0.0378499i | ||||
\(367\) | 117351. | + | 20692.1i | 0.871271 | + | 0.153629i | 0.591370 | − | 0.806400i | \(-0.298587\pi\) |
0.279901 | + | 0.960029i | \(0.409698\pi\) | |||||||
\(368\) | 160116. | + | 60964.3i | 1.18233 | + | 0.450173i | ||||
\(369\) | −95075.5 | − | 164676.i | −0.698258 | − | 1.20942i | ||||
\(370\) | −64502.8 | + | 154115.i | −0.471167 | + | 1.12575i | ||||
\(371\) | 24503.6 | + | 67323.0i | 0.178025 | + | 0.489120i | ||||
\(372\) | 253631. | − | 174823.i | 1.83280 | − | 1.26332i | ||||
\(373\) | 65591.8 | − | 113608.i | 0.471446 | − | 0.816569i | −0.528020 | − | 0.849232i | \(-0.677066\pi\) |
0.999466 | + | 0.0326632i | \(0.0103989\pi\) | |||||||
\(374\) | 30516.0 | − | 23237.7i | 0.218165 | − | 0.166130i | ||||
\(375\) | 19792.6 | + | 23587.9i | 0.140747 | + | 0.167736i | ||||
\(376\) | −487.515 | + | 102.440i | −0.00344836 | + | 0.000724594i | ||||
\(377\) | 3122.12 | + | 17706.4i | 0.0219668 | + | 0.124580i | ||||
\(378\) | 15329.7 | − | 7908.52i | 0.107288 | − | 0.0553492i | ||||
\(379\) | 77675.2i | 0.540759i | 0.962754 | + | 0.270380i | \(0.0871492\pi\) | ||||
−0.962754 | + | 0.270380i | \(0.912851\pi\) | |||||||
\(380\) | 17991.3 | + | 197489.i | 0.124593 | + | 1.36765i | ||||
\(381\) | −123135. | −0.848268 | ||||||||
\(382\) | −36213.7 | − | 70196.1i | −0.248168 | − | 0.481046i | ||||
\(383\) | 146772. | − | 25879.9i | 1.00057 | − | 0.176427i | 0.350710 | − | 0.936484i | \(-0.385940\pi\) |
0.649856 | + | 0.760057i | \(0.274829\pi\) | |||||||
\(384\) | −192493. | + | 73977.7i | −1.30543 | + | 0.501693i | ||||
\(385\) | −131598. | + | 110424.i | −0.887825 | + | 0.744973i | ||||
\(386\) | 141623. | + | 185982.i | 0.950517 | + | 1.24823i | ||||
\(387\) | 3377.37 | + | 1949.93i | 0.0225505 | + | 0.0130196i | ||||
\(388\) | −117313. | + | 80861.7i | −0.779259 | + | 0.537130i | ||||
\(389\) | −263136. | + | 95773.5i | −1.73892 | + | 0.632916i | −0.999200 | − | 0.0399954i | \(-0.987266\pi\) |
−0.739723 | + | 0.672912i | \(0.765043\pi\) | |||||||
\(390\) | −169015. | − | 70739.1i | −1.11121 | − | 0.465083i | ||||
\(391\) | −106378. | + | 61417.5i | −0.695824 | + | 0.401734i | ||||
\(392\) | −402175. | + | 161402.i | −2.61724 | + | 1.05036i | ||||
\(393\) | 62550.7 | − | 354743.i | 0.404993 | − | 2.29683i | ||||
\(394\) | 8403.87 | − | 177474.i | 0.0541361 | − | 1.14326i | ||||
\(395\) | −104781. | + | 124873.i | −0.671564 | + | 0.800339i | ||||
\(396\) | 16289.6 | + | 62636.2i | 0.103877 | + | 0.399425i | ||||
\(397\) | 147690. | + | 53754.7i | 0.937065 | + | 0.341064i | 0.765006 | − | 0.644023i | \(-0.222736\pi\) |
0.172059 | + | 0.985087i | \(0.444958\pi\) | |||||||
\(398\) | 167766. | + | 154871.i | 1.05911 | + | 0.977693i | ||||
\(399\) | 410524. | + | 144347.i | 2.57865 | + | 0.906699i | ||||
\(400\) | −139953. | + | 22556.3i | −0.874704 | + | 0.140977i | ||||
\(401\) | −156549. | − | 56979.2i | −0.973558 | − | 0.354346i | −0.194225 | − | 0.980957i | \(-0.562219\pi\) |
−0.779332 | + | 0.626611i | \(0.784442\pi\) | |||||||
\(402\) | 62640.8 | + | 40231.8i | 0.387619 | + | 0.248953i | ||||
\(403\) | 104220. | − | 124205.i | 0.641714 | − | 0.764765i | ||||
\(404\) | −76504.2 | − | 77640.0i | −0.468730 | − | 0.475689i | ||||
\(405\) | 40766.9 | − | 231201.i | 0.248541 | − | 1.40954i | ||||
\(406\) | 62043.6 | − | 19311.3i | 0.376396 | − | 0.117154i | ||||
\(407\) | 55043.5 | − | 31779.4i | 0.332290 | − | 0.191848i | ||||
\(408\) | 46014.6 | − | 140506.i | 0.276424 | − | 0.844061i | ||||
\(409\) | 91864.1 | − | 33435.8i | 0.549160 | − | 0.199878i | −0.0525131 | − | 0.998620i | \(-0.516723\pi\) |
0.601673 | + | 0.798742i | \(0.294501\pi\) | |||||||
\(410\) | −329022. | − | 74215.1i | −1.95730 | − | 0.441494i | ||||
\(411\) | −86975.0 | − | 50215.0i | −0.514886 | − | 0.297269i | ||||
\(412\) | −21802.9 | + | 229702.i | −0.128445 | + | 1.35323i | ||||
\(413\) | 1092.19 | − | 916.460i | 0.00640324 | − | 0.00537296i | ||||
\(414\) | −26296.0 | − | 205588.i | −0.153422 | − | 1.19949i | ||||
\(415\) | −175251. | + | 30901.4i | −1.01757 | + | 0.179425i | ||||
\(416\) | −87314.8 | + | 64479.0i | −0.504546 | + | 0.372590i | ||||
\(417\) | −53304.3 | −0.306542 | ||||||||
\(418\) | 40071.8 | − | 63920.5i | 0.229344 | − | 0.365837i | ||||
\(419\) | 94823.2i | 0.540115i | 0.962844 | + | 0.270058i | \(0.0870427\pi\) | ||||
−0.962844 | + | 0.270058i | \(0.912957\pi\) | |||||||
\(420\) | −176092. | + | 638334.i | −0.998254 | + | 3.61867i | ||||
\(421\) | −21168.3 | − | 120052.i | −0.119433 | − | 0.677336i | −0.984460 | − | 0.175611i | \(-0.943810\pi\) |
0.865027 | − | 0.501725i | \(-0.167301\pi\) | |||||||
\(422\) | 6305.29 | + | 49296.1i | 0.0354063 | + | 0.276814i | ||||
\(423\) | 387.369 | + | 461.648i | 0.00216493 | + | 0.00258007i | ||||
\(424\) | 35653.5 | − | 31952.8i | 0.198322 | − | 0.177737i | ||||
\(425\) | 50816.9 | − | 88017.5i | 0.281339 | − | 0.487294i | ||||
\(426\) | 342491. | + | 77253.3i | 1.88725 | + | 0.425694i | ||||
\(427\) | −69741.1 | − | 191612.i | −0.382501 | − | 1.05091i | ||||
\(428\) | −96287.3 | + | 44038.7i | −0.525631 | + | 0.240407i | ||||
\(429\) | 34851.9 | + | 60365.3i | 0.189370 | + | 0.327999i | ||||
\(430\) | 6604.97 | − | 2055.82i | 0.0357219 | − | 0.0111185i | ||||
\(431\) | 159213. | + | 28073.5i | 0.857083 | + | 0.151127i | 0.584887 | − | 0.811115i | \(-0.301139\pi\) |
0.272196 | + | 0.962242i | \(0.412250\pi\) | |||||||
\(432\) | −8720.15 | − | 7538.81i | −0.0467258 | − | 0.0403957i | ||||
\(433\) | −17474.5 | − | 14662.9i | −0.0932031 | − | 0.0782066i | 0.594996 | − | 0.803729i | \(-0.297154\pi\) |
−0.688199 | + | 0.725522i | \(0.741598\pi\) | |||||||
\(434\) | −493045. | − | 316664.i | −2.61763 | − | 1.68120i | ||||
\(435\) | 25069.8 | − | 68878.7i | 0.132487 | − | 0.364004i | ||||
\(436\) | −28935.2 | − | 361379.i | −0.152214 | − | 1.90103i | ||||
\(437\) | −153263. | + | 186767.i | −0.802553 | + | 0.977998i | ||||
\(438\) | −176557. | − | 162985.i | −0.920315 | − | 0.849572i | ||||
\(439\) | −76561.4 | + | 210351.i | −0.397265 | + | 1.09148i | 0.566345 | + | 0.824168i | \(0.308357\pi\) |
−0.963611 | + | 0.267310i | \(0.913865\pi\) | |||||||
\(440\) | 101236. | + | 54130.5i | 0.522914 | + | 0.279600i | ||||
\(441\) | 401591. | + | 336975.i | 2.06494 | + | 1.73269i | ||||
\(442\) | 3680.82 | − | 77732.3i | 0.0188408 | − | 0.397884i | ||||
\(443\) | −60412.7 | − | 10652.4i | −0.307837 | − | 0.0542800i | 0.0175956 | − | 0.999845i | \(-0.494399\pi\) |
−0.325433 | + | 0.945565i | \(0.605510\pi\) | |||||||
\(444\) | 105172. | − | 221271.i | 0.533500 | − | 1.12243i | ||||
\(445\) | 103154. | + | 178669.i | 0.520916 | + | 0.902253i | ||||
\(446\) | 195042. | + | 81632.1i | 0.980524 | + | 0.410385i | ||||
\(447\) | −103731. | − | 284998.i | −0.519151 | − | 1.42635i | ||||
\(448\) | 271185. | + | 283447.i | 1.35117 | + | 1.41226i | ||||
\(449\) | 29206.1 | − | 50586.5i | 0.144871 | − | 0.250924i | −0.784454 | − | 0.620187i | \(-0.787057\pi\) |
0.929325 | + | 0.369263i | \(0.120390\pi\) | |||||||
\(450\) | 103894. | + | 136435.i | 0.513058 | + | 0.673755i | ||||
\(451\) | 82479.9 | + | 98295.7i | 0.405504 | + | 0.483261i | ||||
\(452\) | 48548.2 | − | 68258.0i | 0.237627 | − | 0.334100i | ||||
\(453\) | −25869.4 | − | 146713.i | −0.126064 | − | 0.714942i | ||||
\(454\) | 79775.7 | + | 154636.i | 0.387043 | + | 0.750238i | ||||
\(455\) | 348533.i | 1.68353i | ||||||||
\(456\) | −12655.2 | − | 290525.i | −0.0608610 | − | 1.39719i | ||||
\(457\) | 62532.6 | 0.299415 | 0.149708 | − | 0.988730i | \(-0.452167\pi\) | ||||
0.149708 | + | 0.988730i | \(0.452167\pi\) | |||||||
\(458\) | 52792.2 | − | 27235.1i | 0.251674 | − | 0.129837i | ||||
\(459\) | 8138.83 | − | 1435.09i | 0.0386310 | − | 0.00681169i | ||||
\(460\) | −299591. | − | 213083.i | −1.41584 | − | 1.00701i | ||||
\(461\) | −218149. | + | 183049.i | −1.02648 | + | 0.861323i | −0.990428 | − | 0.138027i | \(-0.955924\pi\) |
−0.0360558 | + | 0.999350i | \(0.511479\pi\) | |||||||
\(462\) | 200421. | − | 152619.i | 0.938986 | − | 0.715029i | ||||
\(463\) | −255292. | − | 147393.i | −1.19090 | − | 0.687566i | −0.232389 | − | 0.972623i | \(-0.574654\pi\) |
−0.958511 | + | 0.285057i | \(0.907988\pi\) | |||||||
\(464\) | −27418.6 | − | 33671.7i | −0.127353 | − | 0.156397i | ||||
\(465\) | −621140. | + | 226077.i | −2.87266 | + | 1.04556i | ||||
\(466\) | 12390.6 | − | 29604.7i | 0.0570586 | − | 0.136329i | ||||
\(467\) | 204337. | − | 117974.i | 0.936942 | − | 0.540944i | 0.0479417 | − | 0.998850i | \(-0.484734\pi\) |
0.889000 | + | 0.457906i | \(0.151400\pi\) | |||||||
\(468\) | 118592. | + | 56367.8i | 0.541457 | + | 0.257359i | ||||
\(469\) | 24591.7 | − | 139467.i | 0.111800 | − | 0.634051i | ||||
\(470\) | 1067.76 | + | 50.5612i | 0.00483368 | + | 0.000228887i | ||||
\(471\) | −75323.2 | + | 89766.7i | −0.339537 | + | 0.404644i | ||||
\(472\) | −840.208 | − | 449.255i | −0.00377140 | − | 0.00201655i | ||||
\(473\) | −2472.95 | − | 900.081i | −0.0110533 | − | 0.00402308i | ||||
\(474\) | 162142. | − | 175644.i | 0.721671 | − | 0.781764i | ||||
\(475\) | 32554.7 | − | 197233.i | 0.144287 | − | 0.874164i | ||||
\(476\) | −280348. | + | 22447.1i | −1.23732 | + | 0.0990711i | ||||
\(477\) | −54424.6 | − | 19808.9i | −0.239198 | − | 0.0870611i | ||||
\(478\) | 68548.1 | − | 106729.i | 0.300013 | − | 0.467119i | ||||
\(479\) | 150695. | − | 179592.i | 0.656794 | − | 0.782736i | −0.330128 | − | 0.943936i | \(-0.607092\pi\) |
0.986922 | + | 0.161200i | \(0.0515364\pi\) | |||||||
\(480\) | 439709. | − | 49668.0i | 1.90846 | − | 0.215573i | ||||
\(481\) | 22392.1 | − | 126992.i | 0.0967844 | − | 0.548892i | ||||
\(482\) | 22362.6 | + | 71846.9i | 0.0962560 | + | 0.309253i | ||||
\(483\) | −698663. | + | 403374.i | −2.99484 | + | 1.72907i | ||||
\(484\) | 79268.8 | + | 173315.i | 0.338385 | + | 0.739853i | ||||
\(485\) | 287298. | − | 104568.i | 1.22138 | − | 0.444545i | ||||
\(486\) | −72540.7 | + | 321599.i | −0.307121 | + | 1.36158i | ||||
\(487\) | 128478. | + | 74176.6i | 0.541713 | + | 0.312758i | 0.745773 | − | 0.666200i | \(-0.232080\pi\) |
−0.204060 | + | 0.978958i | \(0.565414\pi\) | |||||||
\(488\) | −101476. | + | 90942.7i | −0.426110 | + | 0.381881i | ||||
\(489\) | −309020. | + | 259298.i | −1.29231 | + | 1.08438i | ||||
\(490\) | 922378. | − | 117978.i | 3.84164 | − | 0.491371i | ||||
\(491\) | 45454.1 | − | 8014.78i | 0.188543 | − | 0.0332452i | −0.0785793 | − | 0.996908i | \(-0.525038\pi\) |
0.267122 | + | 0.963663i | \(0.413927\pi\) | |||||||
\(492\) | 476797. | + | 131530.i | 1.96971 | + | 0.543369i | ||||
\(493\) | 31132.2 | 0.128090 | ||||||||
\(494\) | −47086.1 | − | 145639.i | −0.192947 | − | 0.596793i | ||||
\(495\) | − | 138876.i | − | 0.566782i | ||||||
\(496\) | −73673.1 | + | 384592.i | −0.299464 | + | 1.56328i | ||||
\(497\) | −115975. | − | 657725.i | −0.469516 | − | 2.66276i | ||||
\(498\) | 258847. | − | 33108.2i | 1.04372 | − | 0.133499i | ||||
\(499\) | 257682. | + | 307093.i | 1.03486 | + | 1.23330i | 0.971927 | + | 0.235285i | \(0.0756022\pi\) |
0.0629368 | + | 0.998018i | \(0.479953\pi\) | |||||||
\(500\) | −38967.2 | − | 3698.69i | −0.155869 | − | 0.0147948i | ||||
\(501\) | −164663. | + | 285205.i | −0.656026 | + | 1.13627i | ||||
\(502\) | 85526.2 | − | 379168.i | 0.339384 | − | 1.50461i | ||||
\(503\) | 51365.3 | + | 141125.i | 0.203018 | + | 0.557786i | 0.998861 | − | 0.0477164i | \(-0.0151944\pi\) |
−0.795843 | + | 0.605503i | \(0.792972\pi\) | |||||||
\(504\) | 147694. | − | 450983.i | 0.581434 | − | 1.77541i | ||||
\(505\) | 116946. | + | 202556.i | 0.458565 | + | 0.794258i | ||||
\(506\) | 41565.9 | + | 133544.i | 0.162344 | + | 0.521581i | ||||
\(507\) | −214755. | − | 37867.0i | −0.835462 | − | 0.147314i | ||||
\(508\) | 111495. | − | 109864.i | 0.432044 | − | 0.425724i | ||||
\(509\) | 13041.1 | + | 10942.8i | 0.0503361 | + | 0.0422370i | 0.667609 | − | 0.744512i | \(-0.267318\pi\) |
−0.617273 | + | 0.786749i | \(0.711762\pi\) | |||||||
\(510\) | −171445. | + | 266940.i | −0.659151 | + | 1.02630i | ||||
\(511\) | −156331. | + | 429515.i | −0.598691 | + | 1.64489i | ||||
\(512\) | 108292. | − | 238731.i | 0.413100 | − | 0.910686i | ||||
\(513\) | 13987.4 | − | 8281.20i | 0.0531501 | − | 0.0314672i | ||||
\(514\) | −189665. | + | 205458.i | −0.717894 | + | 0.777672i | ||||
\(515\) | 169338. | − | 465252.i | 0.638469 | − | 1.75418i | ||||
\(516\) | −9817.43 | + | 2553.19i | −0.0368721 | + | 0.00958925i | ||||
\(517\) | −311.525 | − | 261.401i | −0.00116550 | − | 0.000977970i | ||||
\(518\) | −465517. | − | 22043.4i | −1.73491 | − | 0.0821523i | ||||
\(519\) | −14023.5 | − | 2472.72i | −0.0520621 | − | 0.00917994i | ||||
\(520\) | 216153. | − | 86747.3i | 0.799382 | − | 0.320811i | ||||
\(521\) | −169595. | − | 293748.i | −0.624796 | − | 1.08218i | −0.988580 | − | 0.150696i | \(-0.951849\pi\) |
0.363784 | − | 0.931483i | \(-0.381485\pi\) | |||||||
\(522\) | −20281.0 | + | 48457.1i | −0.0744302 | + | 0.177835i | ||||
\(523\) | 96792.7 | + | 265936.i | 0.353866 | + | 0.972239i | 0.981116 | + | 0.193421i | \(0.0619583\pi\) |
−0.627250 | + | 0.778818i | \(0.715819\pi\) | |||||||
\(524\) | 259872. | + | 377017.i | 0.946447 | + | 1.37309i | ||||
\(525\) | 333752. | − | 578075.i | 1.21089 | − | 2.09733i | ||||
\(526\) | −224042. | + | 170606.i | −0.809762 | + | 0.616626i | ||||
\(527\) | −180460. | − | 215064.i | −0.649772 | − | 0.774368i | ||||
\(528\) | −144534. | − | 86311.2i | −0.518445 | − | 0.309599i | ||||
\(529\) | −29184.1 | − | 165511.i | −0.104288 | − | 0.591447i | ||||
\(530\) | −91299.8 | + | 47101.0i | −0.325026 | + | 0.167679i | ||||
\(531\) | 1152.60i | 0.00408779i | ||||||||
\(532\) | −500506. | + | 235577.i | −1.76842 | + | 0.832356i | ||||
\(533\) | 260333. | 0.916380 | ||||||||
\(534\) | −138706. | − | 268865.i | −0.486421 | − | 0.942870i | ||||
\(535\) | 223747. | − | 39452.6i | 0.781716 | − | 0.137838i | ||||
\(536\) | −92614.9 | + | 19460.9i | −0.322367 | + | 0.0677382i | ||||
\(537\) | −162681. | + | 136506.i | −0.564143 | + | 0.473373i | ||||
\(538\) | −177587. | − | 233210.i | −0.613547 | − | 0.805718i | ||||
\(539\) | −306367. | − | 176881.i | −1.05454 | − | 0.608842i | ||||
\(540\) | 14037.7 | + | 20365.7i | 0.0481403 | + | 0.0698411i | ||||
\(541\) | 456389. | − | 166112.i | 1.55934 | − | 0.567553i | 0.588755 | − | 0.808312i | \(-0.299618\pi\) |
0.970585 | + | 0.240759i | \(0.0773962\pi\) | |||||||
\(542\) | 417001. | + | 174530.i | 1.41951 | + | 0.594116i | ||||
\(543\) | −200936. | + | 116010.i | −0.681488 | + | 0.393457i | ||||
\(544\) | 83697.7 | + | 168279.i | 0.282824 | + | 0.568632i | ||||
\(545\) | −135086. | + | 766111.i | −0.454797 | + | 2.57928i | ||||
\(546\) | 24174.6 | − | 510524.i | 0.0810914 | − | 1.71250i | ||||
\(547\) | −26524.4 | + | 31610.5i | −0.0886483 | + | 0.105647i | −0.808545 | − | 0.588434i | \(-0.799745\pi\) |
0.719897 | + | 0.694081i | \(0.244189\pi\) | |||||||
\(548\) | 123556. | − | 32132.9i | 0.411436 | − | 0.107001i | ||||
\(549\) | 154901. | + | 56379.4i | 0.513937 | + | 0.187058i | ||||
\(550\) | −85031.2 | − | 78495.0i | −0.281095 | − | 0.259487i | ||||
\(551\) | 57307.7 | − | 21571.9i | 0.188760 | − | 0.0710534i | ||||
\(552\) | 424056. | + | 332900.i | 1.39170 | + | 1.09253i | ||||
\(553\) | −427293. | − | 155522.i | −1.39725 | − | 0.508559i | ||||
\(554\) | 12009.3 | + | 7713.12i | 0.0391290 | + | 0.0251310i | ||||
\(555\) | −337919. | + | 402716.i | −1.09705 | + | 1.30741i | ||||
\(556\) | 48265.3 | − | 47559.2i | 0.156130 | − | 0.153846i | ||||
\(557\) | −80795.1 | + | 458212.i | −0.260420 | + | 1.47692i | 0.521346 | + | 0.853345i | \(0.325430\pi\) |
−0.781766 | + | 0.623572i | \(0.785681\pi\) | |||||||
\(558\) | 452307. | − | 140782.i | 1.45266 | − | 0.452147i | ||||
\(559\) | −4623.92 | + | 2669.62i | −0.0147974 | + | 0.00854330i | ||||
\(560\) | −410090. | − | 735104.i | −1.30768 | − | 2.34408i | ||||
\(561\) | 113416. | − | 41279.9i | 0.360368 | − | 0.131163i | ||||
\(562\) | 122171. | + | 27557.3i | 0.386808 | + | 0.0872496i | ||||
\(563\) | 94122.5 | + | 54341.6i | 0.296945 | + | 0.171442i | 0.641070 | − | 0.767483i | \(-0.278491\pi\) |
−0.344124 | + | 0.938924i | \(0.611824\pi\) | |||||||
\(564\) | −1560.53 | − | 148.122i | −0.00490583 | − | 0.000465652i | ||||
\(565\) | −137686. | + | 115533.i | −0.431315 | + | 0.361916i | ||||
\(566\) | 17511.0 | + | 136905.i | 0.0546612 | + | 0.427353i | ||||
\(567\) | 644933. | − | 113719.i | 2.00608 | − | 0.353726i | ||||
\(568\) | −379042. | + | 235628.i | −1.17487 | + | 0.730348i | ||||
\(569\) | 480813. | 1.48509 | 0.742543 | − | 0.669798i | \(-0.233619\pi\) | ||||
0.742543 | + | 0.669798i | \(0.233619\pi\) | |||||||
\(570\) | −130628. | + | 610175.i | −0.402056 | + | 1.87804i | ||||
\(571\) | 41392.9i | 0.126956i | 0.997983 | + | 0.0634781i | \(0.0202193\pi\) | ||||
−0.997983 | + | 0.0634781i | \(0.979781\pi\) | |||||||
\(572\) | −85416.5 | − | 23563.2i | −0.261066 | − | 0.0720181i | ||||
\(573\) | −43159.2 | − | 244768.i | −0.131451 | − | 0.745497i | ||||
\(574\) | −119370. | − | 933261.i | −0.362303 | − | 2.83256i | ||||
\(575\) | 238216. | + | 283894.i | 0.720501 | + | 0.858660i | ||||
\(576\) | −316450. | + | 20649.9i | −0.953805 | + | 0.0622405i | ||||
\(577\) | 184212. | − | 319065.i | 0.553307 | − | 0.958356i | −0.444726 | − | 0.895667i | \(-0.646699\pi\) |
0.998033 | − | 0.0626894i | \(-0.0199677\pi\) | |||||||
\(578\) | 194452. | + | 43861.2i | 0.582045 | + | 0.131288i | ||||
\(579\) | 251583. | + | 691217.i | 0.750453 | + | 2.06185i | ||||
\(580\) | 38755.2 | + | 84735.2i | 0.115206 | + | 0.251888i | ||||
\(581\) | −248201. | − | 429898.i | −0.735279 | − | 1.27354i | ||||
\(582\) | −428082. | + | 133242.i | −1.26381 | + | 0.393364i | ||||
\(583\) | 38489.5 | + | 6786.74i | 0.113241 | + | 0.0199675i | ||||
\(584\) | 305286. | − | 9950.11i | 0.895119 | − | 0.0291744i | ||||
\(585\) | −215839. | − | 181110.i | −0.630694 | − | 0.529215i | ||||
\(586\) | 75635.8 | + | 48577.9i | 0.220258 | + | 0.141463i | ||||
\(587\) | 80758.4 | − | 221882.i | 0.234375 | − | 0.643940i | −0.765625 | − | 0.643288i | \(-0.777570\pi\) |
1.00000 | 0.000652783i | \(-0.000207787\pi\) | ||||||||
\(588\) | −1.35926e6 | + | 108835.i | −3.93142 | + | 0.314784i | ||||
\(589\) | −481210. | − | 270844.i | −1.38709 | − | 0.780709i | ||||
\(590\) | 1502.24 | + | 1386.77i | 0.00431554 | + | 0.00398381i | ||||
\(591\) | 191215. | − | 525359.i | 0.547454 | − | 1.50412i | ||||
\(592\) | 102193. | + | 294190.i | 0.291593 | + | 0.839431i | ||||
\(593\) | 331232. | + | 277936.i | 0.941938 | + | 0.790380i | 0.977922 | − | 0.208972i | \(-0.0670119\pi\) |
−0.0359833 | + | 0.999352i | \(0.511456\pi\) | |||||||
\(594\) | 445.090 | − | 9399.49i | 0.00126146 | − | 0.0266398i | ||||
\(595\) | 594328. | + | 104796.i | 1.67877 | + | 0.296013i | ||||
\(596\) | 348207. | + | 165506.i | 0.980268 | + | 0.465930i | ||||
\(597\) | 359223. | + | 622193.i | 1.00790 | + | 1.74573i | ||||
\(598\) | 261759. | + | 109556.i | 0.731979 | + | 0.306360i | ||||
\(599\) | −164688. | − | 452476.i | −0.458995 | − | 1.26108i | −0.926234 | − | 0.376948i | \(-0.876974\pi\) |
0.467239 | − | 0.884131i | \(-0.345249\pi\) | |||||||
\(600\) | −441578. | − | 63107.2i | −1.22661 | − | 0.175298i | ||||
\(601\) | −191579. | + | 331824.i | −0.530394 | + | 0.918669i | 0.468977 | + | 0.883210i | \(0.344623\pi\) |
−0.999371 | + | 0.0354590i | \(0.988711\pi\) | |||||||
\(602\) | 11690.4 | + | 15352.0i | 0.0322580 | + | 0.0423617i | ||||
\(603\) | 73589.8 | + | 87701.0i | 0.202387 | + | 0.241196i | ||||
\(604\) | 154324. | + | 109762.i | 0.423019 | + | 0.300870i | ||||
\(605\) | −71013.8 | − | 402740.i | −0.194014 | − | 1.10031i | ||||
\(606\) | −157250. | − | 304811.i | −0.428199 | − | 0.830014i | ||||
\(607\) | − | 411877.i | − | 1.11787i | −0.829213 | − | 0.558933i | \(-0.811211\pi\) | ||
0.829213 | − | 0.558933i | \(-0.188789\pi\) | |||||||
\(608\) | 270672. | + | 251770.i | 0.732211 | + | 0.681078i | ||||
\(609\) | 204468. | 0.551303 | ||||||||
\(610\) | 259854. | − | 134057.i | 0.698344 | − | 0.360271i | ||||
\(611\) | −812.531 | + | 143.271i | −0.00217650 | + | 0.000383775i | ||||
\(612\) | 131778. | − | 185278.i | 0.351835 | − | 0.494675i | ||||
\(613\) | −78949.7 | + | 66246.7i | −0.210102 | + | 0.176296i | −0.741766 | − | 0.670659i | \(-0.766011\pi\) |
0.531664 | + | 0.846955i | \(0.321567\pi\) | |||||||
\(614\) | −271233. | + | 206541.i | −0.719458 | + | 0.547860i | ||||
\(615\) | −919137. | − | 530664.i | −2.43013 | − | 1.40304i | ||||
\(616\) | −45305.0 | + | 317011.i | −0.119395 | + | 0.835436i | ||||
\(617\) | −319958. | + | 116455.i | −0.840470 | + | 0.305906i | −0.726149 | − | 0.687538i | \(-0.758692\pi\) |
−0.114321 | + | 0.993444i | \(0.536469\pi\) | |||||||
\(618\) | −280313. | + | 669746.i | −0.733950 | + | 1.75361i | ||||
\(619\) | 361434. | − | 208674.i | 0.943296 | − | 0.544612i | 0.0523039 | − | 0.998631i | \(-0.483344\pi\) |
0.890992 | + | 0.454019i | \(0.150010\pi\) | |||||||
\(620\) | 360712. | − | 758900.i | 0.938376 | − | 1.97425i | ||||
\(621\) | −5232.93 | + | 29677.4i | −0.0135694 | + | 0.0769561i | ||||
\(622\) | 572793. | + | 27123.2i | 1.48053 | + | 0.0701069i | ||||
\(623\) | −369923. | + | 440857.i | −0.953092 | + | 1.13585i | ||||
\(624\) | −322633. | + | 112073.i | −0.828591 | + | 0.287827i | ||||
\(625\) | 404145. | + | 147097.i | 1.03461 | + | 0.376568i | ||||
\(626\) | −305018. | + | 330416.i | −0.778352 | + | 0.843165i | ||||
\(627\) | 180170. | − | 154574.i | 0.458299 | − | 0.393190i | ||||
\(628\) | −11889.1 | − | 148486.i | −0.0301460 | − | 0.376501i | ||||
\(629\) | −209817. | − | 76367.3i | −0.530323 | − | 0.193022i | ||||
\(630\) | −550289. | + | 856799.i | −1.38647 | + | 2.15873i | ||||
\(631\) | −15500.4 | + | 18472.7i | −0.0389300 | + | 0.0463949i | −0.785158 | − | 0.619295i | \(-0.787418\pi\) |
0.746228 | + | 0.665690i | \(0.231863\pi\) | |||||||
\(632\) | 9898.63 | + | 303706.i | 0.0247823 | + | 0.760360i | ||||
\(633\) | −27155.3 | + | 154006.i | −0.0677716 | + | 0.384352i | ||||
\(634\) | −122395. | − | 393234.i | −0.304499 | − | 0.978301i | ||||
\(635\) | −290881. | + | 167940.i | −0.721385 | + | 0.416492i | ||||
\(636\) | 137001. | − | 62659.9i | 0.338696 | − | 0.154909i | ||||
\(637\) | −674446. | + | 245478.i | −1.66214 | + | 0.604971i | ||||
\(638\) | 7799.76 | − | 34579.1i | 0.0191620 | − | 0.0849517i | ||||
\(639\) | 467579. | + | 269957.i | 1.14513 | + | 0.661139i | ||||
\(640\) | −353827. | + | 437291.i | −0.863836 | + | 1.06760i | ||||
\(641\) | −70869.2 | + | 59466.3i | −0.172481 | + | 0.144729i | −0.724942 | − | 0.688810i | \(-0.758133\pi\) |
0.552461 | + | 0.833539i | \(0.313689\pi\) | |||||||
\(642\) | −330476. | + | 42270.0i | −0.801807 | + | 0.102556i | ||||
\(643\) | 53595.9 | − | 9450.40i | 0.129631 | − | 0.0228575i | −0.108456 | − | 0.994101i | \(-0.534591\pi\) |
0.238087 | + | 0.971244i | \(0.423480\pi\) | |||||||
\(644\) | 272718. | − | 988605.i | 0.657571 | − | 2.38370i | ||||
\(645\) | 21767.0 | 0.0523214 | ||||||||
\(646\) | −262505. | + | 36502.0i | −0.629032 | + | 0.0874685i | ||||
\(647\) | 433335.i | 1.03518i | 0.855629 | + | 0.517589i | \(0.173170\pi\) | ||||
−0.855629 | + | 0.517589i | \(0.826830\pi\) | |||||||
\(648\) | −231045. | − | 371670.i | −0.550233 | − | 0.885131i | ||||
\(649\) | −135.061 | − | 765.968i | −0.000320657 | − | 0.00181853i | ||||
\(650\) | −232887. | + | 29787.7i | −0.551211 | + | 0.0705034i | ||||
\(651\) | −1.18522e6 | − | 1.41248e6i | −2.79663 | − | 3.33290i | ||||
\(652\) | 48455.6 | − | 510500.i | 0.113985 | − | 1.20088i | ||||
\(653\) | 88713.4 | − | 153656.i | 0.208048 | − | 0.360349i | −0.743052 | − | 0.669234i | \(-0.766622\pi\) |
0.951099 | + | 0.308885i | \(0.0999557\pi\) | |||||||
\(654\) | 251009. | − | 1.11281e6i | 0.586860 | − | 2.60176i | ||||
\(655\) | −336059. | − | 923314.i | −0.783308 | − | 2.15212i | ||||
\(656\) | −549078. | + | 306312.i | −1.27593 | + | 0.711798i | ||||
\(657\) | −184754. | − | 320004.i | −0.428020 | − | 0.741352i | ||||
\(658\) | 886.176 | + | 2847.12i | 0.00204677 | + | 0.00657589i | ||||
\(659\) | −345211. | − | 60870.0i | −0.794902 | − | 0.140163i | −0.238573 | − | 0.971125i | \(-0.576680\pi\) |
−0.556329 | + | 0.830962i | \(0.687791\pi\) | |||||||
\(660\) | 253541. | + | 257305.i | 0.582051 | + | 0.590692i | ||||
\(661\) | −493112. | − | 413770.i | −1.12861 | − | 0.947014i | −0.129600 | − | 0.991566i | \(-0.541369\pi\) |
−0.999007 | + | 0.0445527i | \(0.985814\pi\) | |||||||
\(662\) | −171346. | + | 266786.i | −0.390984 | + | 0.608761i | ||||
\(663\) | 83750.6 | − | 230103.i | 0.190529 | − | 0.523474i | ||||
\(664\) | −204838. | + | 260928.i | −0.464594 | + | 0.591812i | ||||
\(665\) | 1.16665e6 | − | 218910.i | 2.63813 | − | 0.495020i | ||||
\(666\) | 255551. | − | 276830.i | 0.576141 | − | 0.624116i | ||||
\(667\) | −38826.2 | + | 106674.i | −0.0872718 | + | 0.239777i | ||||
\(668\) | −105369. | − | 405160.i | −0.236135 | − | 0.907974i | ||||
\(669\) | 509661. | + | 427656.i | 1.13875 | + | 0.955526i | ||||
\(670\) | 202846. | + | 9605.28i | 0.451873 | + | 0.0213974i | ||||
\(671\) | −109547. | − | 19316.2i | −0.243308 | − | 0.0429018i | ||||
\(672\) | 549704. | + | 1.10521e6i | 1.21728 | + | 2.44741i | ||||
\(673\) | 236662. | + | 409911.i | 0.522515 | + | 0.905022i | 0.999657 | + | 0.0261962i | \(0.00833946\pi\) |
−0.477142 | + | 0.878826i | \(0.658327\pi\) | |||||||
\(674\) | 127755. | − | 305241.i | 0.281227 | − | 0.671929i | ||||
\(675\) | −8527.91 | − | 23430.2i | −0.0187169 | − | 0.0514244i | ||||
\(676\) | 228239. | − | 157321.i | 0.499455 | − | 0.344266i | ||||
\(677\) | −259304. | + | 449128.i | −0.565760 | + | 0.979925i | 0.431219 | + | 0.902247i | \(0.358084\pi\) |
−0.996979 | + | 0.0776775i | \(0.975250\pi\) | |||||||
\(678\) | 209694. | − | 159680.i | 0.456169 | − | 0.347369i | ||||
\(679\) | 548202. | + | 653322.i | 1.18905 | + | 1.41706i | ||||
\(680\) | −82931.4 | − | 394672.i | −0.179350 | − | 0.853530i | ||||
\(681\) | 95076.1 | + | 539203.i | 0.205011 | + | 1.16267i | ||||
\(682\) | −284088. | + | 146559.i | −0.610779 | + | 0.315097i | ||||
\(683\) | 404044.i | 0.866138i | 0.901361 | + | 0.433069i | \(0.142569\pi\) | ||||
−0.901361 | + | 0.433069i | \(0.857431\pi\) | |||||||
\(684\) | 114194. | − | 432367.i | 0.244079 | − | 0.924145i | ||||
\(685\) | −273946. | −0.583827 | ||||||||
\(686\) | 767557. | + | 1.48782e6i | 1.63103 | + | 3.16157i | ||||
\(687\) | 184082. | − | 32458.6i | 0.390030 | − | 0.0687728i | ||||
\(688\) | 6611.34 | − | 11071.2i | 0.0139673 | − | 0.0233892i | ||||
\(689\) | 60742.7 | − | 50969.2i | 0.127955 | − | 0.107367i | ||||
\(690\) | −700851. | − | 920367.i | −1.47207 | − | 1.93314i | ||||
\(691\) | 133301. | + | 76961.6i | 0.279176 | + | 0.161182i | 0.633050 | − | 0.774111i | \(-0.281803\pi\) |
−0.353874 | + | 0.935293i | \(0.615136\pi\) | |||||||
\(692\) | 14904.0 | − | 10273.1i | 0.0311237 | − | 0.0214531i | ||||
\(693\) | 364031. | − | 132496.i | 0.758004 | − | 0.275891i | ||||
\(694\) | 111513. | + | 46672.2i | 0.231530 | + | 0.0969035i | ||||
\(695\) | −125920. | + | 72699.8i | −0.260690 | + | 0.150509i | ||||
\(696\) | −50890.5 | − | 126806.i | −0.105055 | − | 0.261772i | ||||
\(697\) | 78276.3 | − | 443927.i | 0.161126 | − | 0.913790i | ||||
\(698\) | 580.007 | − | 12248.7i | 0.00119048 | − | 0.0251408i | ||||
\(699\) | 64912.3 | − | 77359.5i | 0.132853 | − | 0.158328i | ||||
\(700\) | 213570. | + | 821209.i | 0.435857 | + | 1.67594i | ||||
\(701\) | −92559.6 | − | 33688.9i | −0.188359 | − | 0.0685569i | 0.246119 | − | 0.969240i | \(-0.420845\pi\) |
−0.434477 | + | 0.900683i | \(0.643067\pi\) | |||||||
\(702\) | −14028.1 | − | 12949.8i | −0.0284659 | − | 0.0262778i | ||||
\(703\) | −439145. | + | 4809.22i | −0.888581 | + | 0.00973114i | ||||
\(704\) | 207880. | − | 50804.5i | 0.419437 | − | 0.102508i | ||||
\(705\) | 3160.78 | + | 1150.43i | 0.00635940 | + | 0.00231463i | ||||
\(706\) | 291680. | + | 187335.i | 0.585190 | + | 0.375845i | ||||
\(707\) | −419380. | + | 499797.i | −0.839012 | + | 0.999896i | ||||
\(708\) | −2104.26 | − | 2135.50i | −0.00419791 | − | 0.00426023i | ||||
\(709\) | −154234. | + | 874704.i | −0.306823 | + | 1.74008i | 0.307977 | + | 0.951394i | \(0.400348\pi\) |
−0.614799 | + | 0.788684i | \(0.710763\pi\) | |||||||
\(710\) | 914424. | − | 284617.i | 1.81397 | − | 0.564605i | ||||
\(711\) | 318348. | − | 183798.i | 0.629743 | − | 0.363582i | ||||
\(712\) | 365481. | + | 119692.i | 0.720949 | + | 0.236105i | ||||
\(713\) | 961977. | − | 350131.i | 1.89228 | − | 0.688734i | ||||
\(714\) | −863290. | − | 194726.i | −1.69340 | − | 0.381969i | ||||
\(715\) | 164660. | + | 95066.6i | 0.322089 | + | 0.185958i | ||||
\(716\) | 25509.2 | − | 268750.i | 0.0497589 | − | 0.524230i | ||||
\(717\) | 305760. | − | 256563.i | 0.594760 | − | 0.499063i | ||||
\(718\) | 43640.7 | + | 341193.i | 0.0846532 | + | 0.661836i | ||||
\(719\) | 845429. | − | 149072.i | 1.63538 | − | 0.288362i | 0.720915 | − | 0.693023i | \(-0.243722\pi\) |
0.914467 | + | 0.404661i | \(0.132611\pi\) | |||||||
\(720\) | 668331. | + | 128027.i | 1.28922 | + | 0.246965i | ||||
\(721\) | 1.38111e6 | 2.65679 | ||||||||
\(722\) | −457923. | + | 249085.i | −0.878452 | + | 0.477830i | ||||
\(723\) | 236775.i | 0.452959i | ||||||||
\(724\) | 78433.9 | − | 284323.i | 0.149633 | − | 0.542419i | ||||
\(725\) | −16310.2 | − | 92500.0i | −0.0310302 | − | 0.175981i | ||||
\(726\) | 76085.2 | + | 594850.i | 0.144353 | + | 1.12859i | ||||
\(727\) | 99394.4 | + | 118454.i | 0.188059 | + | 0.224119i | 0.851833 | − | 0.523813i | \(-0.175491\pi\) |
−0.663775 | + | 0.747933i | \(0.731047\pi\) | |||||||
\(728\) | 433612. | + | 483833.i | 0.818160 | + | 0.912919i | ||||
\(729\) | −241753. | + | 418729.i | −0.454902 | + | 0.787913i | ||||
\(730\) | −639367. | − | 144218.i | −1.19979 | − | 0.270628i | ||||
\(731\) | 3162.00 | + | 8687.51i | 0.00591734 | + | 0.0162578i | ||||
\(732\) | −389927. | + | 178340.i | −0.727715 | + | 0.332833i | ||||
\(733\) | 87735.6 | + | 151963.i | 0.163293 | + | 0.282832i | 0.936048 | − | 0.351873i | \(-0.114455\pi\) |
−0.772755 | + | 0.634705i | \(0.781122\pi\) | |||||||
\(734\) | −455108. | + | 141654.i | −0.844739 | + | 0.262928i | ||||
\(735\) | 2.88159e6 | + | 508103.i | 5.33406 | + | 0.940539i | ||||
\(736\) | −680989. | + | 76922.1i | −1.25714 | + | 0.142002i | ||||
\(737\) | −59181.5 | − | 49659.2i | −0.108956 | − | 0.0914249i | ||||
\(738\) | 639977. | + | 411033.i | 1.17504 | + | 0.754682i | ||||
\(739\) | 174406. | − | 479177.i | 0.319355 | − | 0.877420i | −0.671320 | − | 0.741168i | \(-0.734272\pi\) |
0.990674 | − | 0.136252i | \(-0.0435056\pi\) | |||||||
\(740\) | −53337.5 | − | 666145.i | −0.0974023 | − | 1.21648i | ||||
\(741\) | −5274.18 | − | 481602.i | −0.00960547 | − | 0.877106i | ||||
\(742\) | −210570. | − | 194384.i | −0.382463 | − | 0.353063i | ||||
\(743\) | 369472. | − | 1.01512e6i | 0.669274 | − | 1.83882i | 0.140443 | − | 0.990089i | \(-0.455147\pi\) |
0.528831 | − | 0.848727i | \(-0.322631\pi\) | |||||||
\(744\) | −581002. | + | 1.08660e6i | −1.04962 | + | 1.96302i | ||||
\(745\) | −633741. | − | 531772.i | −1.14182 | − | 0.958105i | ||||
\(746\) | −24819.7 | + | 524147.i | −0.0445984 | + | 0.941837i | ||||
\(747\) | 395201. | + | 69684.5i | 0.708233 | + | 0.124881i | ||||
\(748\) | −65863.3 | + | 138569.i | −0.117717 | + | 0.247665i | ||||
\(749\) | 316885. | + | 548860.i | 0.564856 | + | 0.978359i | ||||
\(750\) | −113617. | − | 47553.0i | −0.201986 | − | 0.0845386i | ||||
\(751\) | 231760. | + | 636756.i | 0.410922 | + | 1.12900i | 0.956702 | + | 0.291070i | \(0.0940113\pi\) |
−0.545780 | + | 0.837929i | \(0.683766\pi\) | |||||||
\(752\) | 1545.16 | − | 1258.22i | 0.00273236 | − | 0.00222495i | ||||
\(753\) | 611542. | − | 1.05922e6i | 1.07854 | − | 1.86809i | ||||
\(754\) | −43570.6 | − | 57217.5i | −0.0766391 | − | 0.100644i | ||||
\(755\) | −261207. | − | 311294.i | −0.458238 | − | 0.546106i | ||||
\(756\) | −39991.0 | + | 56226.8i | −0.0699711 | + | 0.0983784i | ||||
\(757\) | −96139.2 | − | 545233.i | −0.167768 | − | 0.951459i | −0.946164 | − | 0.323686i | \(-0.895078\pi\) |
0.778397 | − | 0.627773i | \(-0.216033\pi\) | |||||||
\(758\) | −142449. | − | 276122.i | −0.247926 | − | 0.480576i | ||||
\(759\) | 440100.i | 0.763954i | ||||||||
\(760\) | −426132. | − | 669043.i | −0.737764 | − | 1.15832i | ||||
\(761\) | −103331. | −0.178427 | −0.0892135 | − | 0.996013i | \(-0.528435\pi\) | ||||
−0.0892135 | + | 0.996013i | \(0.528435\pi\) | |||||||
\(762\) | 437724. | − | 225819.i | 0.753860 | − | 0.388912i | ||||
\(763\) | −2.13706e6 | + | 376822.i | −3.67086 | + | 0.647272i | ||||
\(764\) | 257467. | + | 183122.i | 0.441097 | + | 0.313728i | ||||
\(765\) | −373732. | + | 313598.i | −0.638613 | + | 0.535860i | ||||
\(766\) | −474287. | + | 361165.i | −0.808321 | + | 0.615529i | ||||
\(767\) | −1366.59 | − | 789.003i | −0.00232300 | − | 0.00134118i | ||||
\(768\) | 548610. | − | 615993.i | 0.930125 | − | 1.04437i | ||||
\(769\) | −166552. | + | 60619.9i | −0.281642 | + | 0.102509i | −0.478979 | − | 0.877827i | \(-0.658993\pi\) |
0.197337 | + | 0.980336i | \(0.436771\pi\) | |||||||
\(770\) | 265300. | − | 633875.i | 0.447461 | − | 1.06911i | ||||
\(771\) | −761978. | + | 439928.i | −1.28184 | + | 0.740071i | ||||
\(772\) | −844519. | − | 401407.i | −1.41702 | − | 0.673521i | ||||
\(773\) | 206020. | − | 1.16840e6i | 0.344786 | − | 1.95538i | 0.0541997 | − | 0.998530i | \(-0.482739\pi\) |
0.290586 | − | 0.956849i | \(-0.406150\pi\) | |||||||
\(774\) | −15581.9 | − | 737.845i | −0.0260100 | − | 0.00123164i | ||||
\(775\) | −544456. | + | 648857.i | −0.906482 | + | 1.08030i | ||||
\(776\) | 268733. | − | 502590.i | 0.446270 | − | 0.834623i | ||||
\(777\) | −1.37802e6 | − | 501559.i | −2.28252 | − | 0.830769i | ||||
\(778\) | 759760. | − | 823025.i | 1.25521 | − | 1.35973i | ||||
\(779\) | −163513. | − | 871414.i | −0.269449 | − | 1.43598i | ||||
\(780\) | 730549. | − | 58494.3i | 1.20077 | − | 0.0961445i | ||||
\(781\) | −342367. | − | 124611.i | −0.561293 | − | 0.204294i | ||||
\(782\) | 265522. | − | 413417.i | 0.434197 | − | 0.676043i | ||||
\(783\) | 4909.41 | − | 5850.81i | 0.00800766 | − | 0.00954316i | ||||
\(784\) | 1.13366e6 | − | 1.31131e6i | 1.84439 | − | 2.13341i | ||||
\(785\) | −55505.1 | + | 314785.i | −0.0900728 | + | 0.510828i | ||||
\(786\) | 428210. | + | 1.37576e6i | 0.693125 | + | 2.22688i | ||||
\(787\) | −1.02166e6 | + | 589859.i | −1.64953 | + | 0.952354i | −0.672265 | + | 0.740310i | \(0.734679\pi\) |
−0.977260 | + | 0.212044i | \(0.931988\pi\) | |||||||
\(788\) | 295598. | + | 646302.i | 0.476046 | + | 1.04084i | ||||
\(789\) | −832672. | + | 303068.i | −1.33758 | + | 0.486839i | ||||
\(790\) | 143471. | − | 636060.i | 0.229885 | − | 1.01916i | ||||
\(791\) | −434204. | − | 250688.i | −0.693970 | − | 0.400664i | ||||
\(792\) | −172776. | − | 192787.i | −0.275444 | − | 0.307346i | ||||
\(793\) | −172884. | + | 145067.i | −0.274921 | + | 0.230686i | ||||
\(794\) | −623593. | + | 79761.5i | −0.989145 | + | 0.126518i | ||||
\(795\) | −318355. | + | 56134.6i | −0.503706 | + | 0.0888170i | ||||
\(796\) | −880399. | − | 242869.i | −1.38948 | − | 0.383306i | ||||
\(797\) | 248054. | 0.390507 | 0.195254 | − | 0.980753i | \(-0.437447\pi\) | ||||
0.195254 | + | 0.980753i | \(0.437447\pi\) | |||||||
\(798\) | −1.72406e6 | + | 239735.i | −2.70737 | + | 0.376466i | ||||
\(799\) | 1428.63i | 0.00223782i | ||||||||
\(800\) | 456140. | − | 336844.i | 0.712719 | − | 0.526319i | ||||
\(801\) | −80787.8 | − | 458170.i | −0.125916 | − | 0.714104i | ||||
\(802\) | 660999. | − | 84546.0i | 1.02767 | − | 0.131445i | ||||
\(803\) | 160278. | + | 191012.i | 0.248566 | + | 0.296230i | ||||
\(804\) | −296458. | − | 28139.2i | −0.458619 | − | 0.0435311i | ||||
\(805\) | −1.10029e6 | + | 1.90577e6i | −1.69792 | + | 2.94088i | ||||
\(806\) | −142704. | + | 632656.i | −0.219667 | + | 0.973863i | ||||
\(807\) | −315470. | − | 866747.i | −0.484408 | − | 1.33090i | ||||
\(808\) | 414344. | + | 135694.i | 0.634656 | + | 0.207845i | ||||
\(809\) | −557071. | − | 964875.i | −0.851164 | − | 1.47426i | −0.880159 | − | 0.474680i | \(-0.842564\pi\) |
0.0289946 | − | 0.999580i | \(-0.490769\pi\) | |||||||
\(810\) | 279082. | + | 896640.i | 0.425365 | + | 1.36662i | ||||
\(811\) | −138470. | − | 24416.0i | −0.210530 | − | 0.0371221i | 0.0673883 | − | 0.997727i | \(-0.478533\pi\) |
−0.277918 | + | 0.960605i | \(0.589644\pi\) | |||||||
\(812\) | −185139. | + | 182431.i | −0.280793 | + | 0.276685i | ||||
\(813\) | 1.08966e6 | + | 914332.i | 1.64858 | + | 1.38332i | ||||
\(814\) | −137389. | + | 213915.i | −0.207350 | + | 0.322844i | ||||
\(815\) | −376344. | + | 1.03400e6i | −0.566591 | + | 1.55670i | ||||
\(816\) | 94101.4 | + | 583860.i | 0.141324 | + | 0.876856i | ||||
\(817\) | 11840.2 | + | 13800.9i | 0.0177385 | + | 0.0206758i | ||||
\(818\) | −265242. | + | 287329.i | −0.396402 | + | 0.429411i | ||||
\(819\) | 268815. | − | 738563.i | 0.400761 | − | 1.10108i | ||||
\(820\) | 1.30572e6 | − | 339575.i | 1.94188 | − | 0.505020i | ||||
\(821\) | −300598. | − | 252232.i | −0.445964 | − | 0.374208i | 0.391971 | − | 0.919977i | \(-0.371793\pi\) |
−0.837936 | + | 0.545769i | \(0.816238\pi\) | |||||||
\(822\) | 401271. | + | 19001.2i | 0.593873 | + | 0.0281214i | ||||
\(823\) | −552045. | − | 97340.4i | −0.815032 | − | 0.143712i | −0.249432 | − | 0.968392i | \(-0.580244\pi\) |
−0.565599 | + | 0.824680i | \(0.691355\pi\) | |||||||
\(824\) | −343748. | − | 856535.i | −0.506274 | − | 1.26151i | ||||
\(825\) | −182070. | − | 315354.i | −0.267503 | − | 0.463330i | ||||
\(826\) | −2201.85 | + | 5260.84i | −0.00322722 | + | 0.00771072i | ||||
\(827\) | 166066. | + | 456263.i | 0.242812 | + | 0.667121i | 0.999905 | + | 0.0138131i | \(0.00439699\pi\) |
−0.757092 | + | 0.653308i | \(0.773381\pi\) | |||||||
\(828\) | 470507. | + | 682603.i | 0.686286 | + | 0.995652i | ||||
\(829\) | −379681. | + | 657627.i | −0.552472 | + | 0.956909i | 0.445624 | + | 0.895220i | \(0.352982\pi\) |
−0.998095 | + | 0.0616888i | \(0.980351\pi\) | |||||||
\(830\) | 566315. | − | 431244.i | 0.822057 | − | 0.625989i | ||||
\(831\) | 28868.8 | + | 34404.4i | 0.0418048 | + | 0.0498210i | ||||
\(832\) | 192140. | − | 389339.i | 0.277569 | − | 0.562447i | ||||
\(833\) | 215805. | + | 1.22389e6i | 0.311008 | + | 1.76382i | ||||
\(834\) | 189487. | − | 97755.3i | 0.272426 | − | 0.140543i | ||||
\(835\) | 898313.i | 1.28841i | ||||||||
\(836\) | −25223.7 | + | 300714.i | −0.0360908 | + | 0.430270i | ||||
\(837\) | −68875.8 | −0.0983141 | ||||||||
\(838\) | −173897. | − | 337080.i | −0.247631 | − | 0.480003i | ||||
\(839\) | 684597. | − | 120713.i | 0.972548 | − | 0.171486i | 0.335271 | − | 0.942122i | \(-0.391172\pi\) |
0.637277 | + | 0.770635i | \(0.280061\pi\) | |||||||
\(840\) | −544671. | − | 2.59210e6i | −0.771926 | − | 3.67361i | ||||
\(841\) | −519769. | + | 436138.i | −0.734883 | + | 0.616640i | ||||
\(842\) | 295414. | + | 387942.i | 0.416684 | + | 0.547195i | ||||
\(843\) | 341290. | + | 197044.i | 0.480252 | + | 0.277273i | ||||
\(844\) | −112819. | − | 163676.i | −0.158379 | − | 0.229773i | ||||
\(845\) | −558957. | + | 203444.i | −0.782825 | + | 0.284925i | ||||
\(846\) | −2223.65 | − | 930.678i | −0.00310689 | − | 0.00130035i | ||||
\(847\) | 987937. | − | 570386.i | 1.37709 | − | 0.795064i | ||||
\(848\) | −68143.4 | + | 178972.i | −0.0947616 | + | 0.248882i | ||||
\(849\) | −75415.8 | + | 427704.i | −0.104628 | + | 0.593373i | ||||
\(850\) | −19229.0 | + | 406081.i | −0.0266145 | + | 0.562049i | ||||
\(851\) | 523344. | − | 623697.i | 0.722650 | − | 0.861221i | ||||
\(852\) | −1.35917e6 | + | 353476.i | −1.87238 | + | 0.486946i | ||||
\(853\) | −1.02441e6 | − | 372855.i | −1.40791 | − | 0.512439i | −0.477397 | − | 0.878688i | \(-0.658420\pi\) |
−0.930517 | + | 0.366249i | \(0.880642\pi\) | |||||||
\(854\) | 599317. | + | 553248.i | 0.821752 | + | 0.758585i | ||||
\(855\) | −470665. | + | 836231.i | −0.643842 | + | 1.14392i | ||||
\(856\) | 261521. | − | 333132.i | 0.356910 | − | 0.454642i | ||||
\(857\) | 1.22584e6 | + | 446170.i | 1.66906 | + | 0.607489i | 0.991748 | − | 0.128204i | \(-0.0409211\pi\) |
0.677315 | + | 0.735693i | \(0.263143\pi\) | |||||||
\(858\) | −234597. | − | 150673.i | −0.318675 | − | 0.204673i | ||||
\(859\) | 131704. | − | 156958.i | 0.178489 | − | 0.212715i | −0.669381 | − | 0.742919i | \(-0.733441\pi\) |
0.847870 | + | 0.530205i | \(0.177885\pi\) | |||||||
\(860\) | −19709.3 | + | 19421.0i | −0.0266486 | + | 0.0262588i | ||||
\(861\) | 514098. | − | 2.91559e6i | 0.693489 | − | 3.93297i | ||||
\(862\) | −617457. | + | 192186.i | −0.830983 | + | 0.258646i | ||||
\(863\) | 610952. | − | 352733.i | 0.820324 | − | 0.473614i | −0.0302040 | − | 0.999544i | \(-0.509616\pi\) |
0.850528 | + | 0.525929i | \(0.176282\pi\) | |||||||
\(864\) | 44824.1 | + | 10807.2i | 0.0600460 | + | 0.0144772i | ||||
\(865\) | −36499.9 | + | 13284.9i | −0.0487820 | + | 0.0177552i | ||||
\(866\) | 89009.4 | + | 20077.2i | 0.118686 | + | 0.0267712i | ||||
\(867\) | 543210. | + | 313623.i | 0.722653 | + | 0.417224i | ||||
\(868\) | 2.33342e6 | + | 221484.i | 3.09709 | + | 0.293970i | ||||
\(869\) | −190024. | + | 159449.i | −0.251633 | + | 0.211145i | ||||
\(870\) | 37198.7 | + | 290827.i | 0.0491461 | + | 0.384235i | ||||
\(871\) | −154359. | + | 27217.7i | −0.203468 | + | 0.0358769i | ||||
\(872\) | 765596. | + | 1.23157e6i | 1.00685 | + | 1.61967i | ||||
\(873\) | −689454. | −0.904642 | ||||||||
\(874\) | 202307. | − | 944995.i | 0.264843 | − | 1.23711i | ||||
\(875\) | 234295.i | 0.306018i | ||||||||
\(876\) | 926529. | + | 255594.i | 1.20740 | + | 0.333076i | ||||
\(877\) | −29008.6 | − | 164516.i | −0.0377161 | − | 0.213899i | 0.960125 | − | 0.279571i | \(-0.0901921\pi\) |
−0.997841 | + | 0.0656718i | \(0.979081\pi\) | |||||||
\(878\) | −113602. | − | 888166.i | −0.147366 | − | 1.15214i | ||||
\(879\) | 181818. | + | 216683.i | 0.235320 | + | 0.280444i | ||||
\(880\) | −459147. | − | 6766.47i | −0.592907 | − | 0.00873769i | ||||
\(881\) | −304175. | + | 526846.i | −0.391896 | + | 0.678784i | −0.992700 | − | 0.120612i | \(-0.961514\pi\) |
0.600803 | + | 0.799397i | \(0.294847\pi\) | |||||||
\(882\) | −2.04557e6 | − | 461404.i | −2.62952 | − | 0.593123i | ||||
\(883\) | −414018. | − | 1.13751e6i | −0.531004 | − | 1.45892i | −0.857878 | − | 0.513854i | \(-0.828217\pi\) |
0.326873 | − | 0.945068i | \(-0.394005\pi\) | |||||||
\(884\) | 129469. | + | 283075.i | 0.165677 | + | 0.362240i | ||||
\(885\) | 3216.61 | + | 5571.33i | 0.00410688 | + | 0.00711332i | ||||
\(886\) | 234292. | − | 72924.2i | 0.298463 | − | 0.0928975i | ||||
\(887\) | −824328. | − | 145351.i | −1.04774 | − | 0.184744i | −0.376828 | − | 0.926283i | \(-0.622985\pi\) |
−0.670910 | + | 0.741539i | \(0.734096\pi\) | |||||||
\(888\) | 31923.2 | + | 979455.i | 0.0404837 | + | 1.24211i | ||||
\(889\) | −717735. | − | 602251.i | −0.908156 | − | 0.762033i | ||||
\(890\) | −694358. | − | 445959.i | −0.876604 | − | 0.563009i | ||||
\(891\) | 122188. | − | 335709.i | 0.153912 | − | 0.422870i | ||||
\(892\) | −843046. | + | 67501.8i | −1.05955 | + | 0.0848370i | ||||
\(893\) | 989.914 | + | 2629.80i | 0.00124135 | + | 0.00329776i | ||||
\(894\) | 891407. | + | 822886.i | 1.11532 | + | 1.02959i | ||||
\(895\) | −198124. | + | 544341.i | −0.247338 | + | 0.679556i | ||||
\(896\) | −1.48383e6 | − | 510273.i | −1.84828 | − | 0.635604i | ||||
\(897\) | 683997. | + | 573942.i | 0.850099 | + | 0.713318i | ||||
\(898\) | −11051.5 | + | 233387.i | −0.0137047 | + | 0.289417i | ||||
\(899\) | −255516. | − | 45054.3i | −0.316154 | − | 0.0557464i | ||||
\(900\) | −619536. | − | 294471.i | −0.764859 | − | 0.363544i | ||||
\(901\) | −68650.0 | − | 118905.i | −0.0845651 | − | 0.146471i | ||||
\(902\) | −473467. | − | 198163.i | −0.581938 | − | 0.243562i | ||||
\(903\) | 20767.1 | + | 57057.2i | 0.0254684 | + | 0.0699737i | ||||
\(904\) | −47401.1 | + | 331678.i | −0.0580031 | + | 0.405864i | ||||
\(905\) | −316445. | + | 548099.i | −0.386368 | + | 0.669209i | ||||
\(906\) | 361019. | + | 474095.i | 0.439818 | + | 0.577576i | ||||
\(907\) | −373287. | − | 444866.i | −0.453762 | − | 0.540773i | 0.489858 | − | 0.871802i | \(-0.337049\pi\) |
−0.943620 | + | 0.331029i | \(0.892604\pi\) | |||||||
\(908\) | −567177. | − | 403402.i | −0.687934 | − | 0.489290i | ||||
\(909\) | −91588.7 | − | 519425.i | −0.110844 | − | 0.628630i | ||||
\(910\) | −639179. | − | 1.23897e6i | −0.771862 | − | 1.49617i | ||||
\(911\) | 71501.6i | 0.0861547i | 0.999072 | + | 0.0430773i | \(0.0137162\pi\) | ||||
−0.999072 | + | 0.0430773i | \(0.986284\pi\) | |||||||
\(912\) | 577785. | + | 1.00956e6i | 0.694666 | + | 1.21378i | ||||
\(913\) | −270800. | −0.324868 | ||||||||
\(914\) | −222292. | + | 114679.i | −0.266092 | + | 0.137275i | ||||
\(915\) | 906090. | − | 159768.i | 1.08225 | − | 0.190830i | ||||
\(916\) | −137720. | + | 193632.i | −0.164137 | + | 0.230774i | ||||
\(917\) | 2.09963e6 | − | 1.76180e6i | 2.49692 | − | 2.09516i | ||||
\(918\) | −26300.3 | + | 20027.4i | −0.0312086 | + | 0.0237651i | ||||
\(919\) | −172059. | − | 99338.2i | −0.203726 | − | 0.117621i | 0.394666 | − | 0.918824i | \(-0.370860\pi\) |
−0.598392 | + | 0.801203i | \(0.704193\pi\) | |||||||
\(920\) | 1.45577e6 | + | 208048.i | 1.71995 | + | 0.245804i | ||||
\(921\) | −1.00806e6 | + | 366904.i | −1.18841 | + | 0.432547i | ||||
\(922\) | 439787. | − | 1.05077e6i | 0.517345 | − | 1.23608i | ||||
\(923\) | −640157. | + | 369595.i | −0.751420 | + | 0.433833i | ||||
\(924\) | −432572. | + | 910086.i | −0.506658 | + | 1.06595i | ||||
\(925\) | −116979. | + | 663419.i | −0.136717 | + | 0.775361i | ||||
\(926\) | 1.17782e6 | + | 55773.0i | 1.37359 | + | 0.0650432i | ||||
\(927\) | −717674. | + | 855291.i | −0.835157 | + | 0.995301i | ||||
\(928\) | 159219. | + | 69413.6i | 0.184884 | + | 0.0806025i | ||||
\(929\) | 1.07288e6 | + | 390495.i | 1.24314 | + | 0.452465i | 0.878077 | − | 0.478520i | \(-0.158826\pi\) |
0.365059 | + | 0.930984i | \(0.381049\pi\) | |||||||
\(930\) | 1.79344e6 | − | 1.94278e6i | 2.07358 | − | 2.24625i | ||||
\(931\) | 1.24530e6 | + | 2.10339e6i | 1.43673 | + | 2.42672i | ||||
\(932\) | 10245.8 | + | 127963.i | 0.0117955 | + | 0.147317i | ||||
\(933\) | 1.69558e6 | + | 617141.i | 1.94785 | + | 0.708959i | ||||
\(934\) | −510028. | + | 794112.i | −0.584655 | + | 0.910307i | ||||
\(935\) | 211619. | − | 252198.i | 0.242065 | − | 0.288482i | ||||
\(936\) | −524947. | + | 17109.5i | −0.599189 | + | 0.0195292i | ||||
\(937\) | 44058.9 | − | 249871.i | 0.0501828 | − | 0.284601i | −0.949381 | − | 0.314126i | \(-0.898288\pi\) |
0.999564 | + | 0.0295254i | \(0.00939961\pi\) | |||||||
\(938\) | 168350. | + | 540878.i | 0.191341 | + | 0.614743i | ||||
\(939\) | −1.22541e6 | + | 707490.i | −1.38979 | + | 0.802397i | ||||
\(940\) | −3888.42 | + | 1778.44i | −0.00440066 | + | 0.00201272i | ||||
\(941\) | 56768.3 | − | 20662.0i | 0.0641102 | − | 0.0233342i | −0.309766 | − | 0.950813i | \(-0.600251\pi\) |
0.373876 | + | 0.927479i | \(0.378028\pi\) | |||||||
\(942\) | 103137. | − | 457241.i | 0.116228 | − | 0.515280i | ||||
\(943\) | 1.42349e6 | + | 821854.i | 1.60078 | + | 0.924211i | ||||
\(944\) | 3810.68 | + | 56.1582i | 0.00427621 | + | 6.30187e-5i | ||||
\(945\) | 113418. | − | 95168.8i | 0.127004 | − | 0.106569i | ||||
\(946\) | 10441.6 | − | 1335.54i | 0.0116677 | − | 0.00149237i | ||||
\(947\) | −129142. | + | 22771.2i | −0.144001 | + | 0.0253913i | −0.245184 | − | 0.969477i | \(-0.578848\pi\) |
0.101183 | + | 0.994868i | \(0.467737\pi\) | |||||||
\(948\) | −254272. | + | 921736.i | −0.282932 | + | 1.02563i | ||||
\(949\) | 505890. | 0.561724 | ||||||||
\(950\) | 245982. | + | 760832.i | 0.272556 | + | 0.843027i | ||||
\(951\) | − | 1.29592e6i | − | 1.43291i | ||||||
\(952\) | 955420. | − | 593928.i | 1.05419 | − | 0.655330i | ||||
\(953\) | −78058.1 | − | 442690.i | −0.0859473 | − | 0.487432i | −0.997148 | − | 0.0754691i | \(-0.975955\pi\) |
0.911201 | − | 0.411963i | \(-0.135157\pi\) | |||||||
\(954\) | 229798. | − | 29392.6i | 0.252493 | − | 0.0322954i | ||||
\(955\) | −435785. | − | 519348.i | −0.477821 | − | 0.569445i | ||||
\(956\) | −47944.5 | + | 505115.i | −0.0524593 | + | 0.552680i | ||||
\(957\) | 55771.0 | − | 96598.2i | 0.0608954 | − | 0.105474i | ||||
\(958\) | −206340. | + | 914779.i | −0.224829 | + | 0.996748i | ||||
\(959\) | −261362. | − | 718087.i | −0.284188 | − | 0.780800i | ||||
\(960\) | −1.47200e6 | + | 982948.i | −1.59722 | + | 1.06657i | ||||
\(961\) | 708119. | + | 1.22650e6i | 0.766760 | + | 1.32807i | ||||
\(962\) | 153292. | + | 492500.i | 0.165642 | + | 0.532177i | ||||
\(963\) | −504562. | − | 88967.9i | −0.544079 | − | 0.0959358i | ||||
\(964\) | −211256. | − | 214392.i | −0.227329 | − | 0.230704i | ||||
\(965\) | 1.53704e6 | + | 1.28973e6i | 1.65055 | + | 1.38498i | ||||
\(966\) | 1.74387e6 | − | 2.71521e6i | 1.86879 | − | 2.90970i | ||||
\(967\) | 365950. | − | 1.00544e6i | 0.391353 | − | 1.07523i | −0.575032 | − | 0.818131i | \(-0.695010\pi\) |
0.966384 | − | 0.257101i | \(-0.0827675\pi\) | |||||||
\(968\) | −599631. | − | 470733.i | −0.639931 | − | 0.502370i | ||||
\(969\) | −822826. | − | 135813.i | −0.876315 | − | 0.144642i | ||||
\(970\) | −829527. | + | 898601.i | −0.881631 | + | 0.955044i | ||||
\(971\) | 416789. | − | 1.14512e6i | 0.442056 | − | 1.21454i | −0.496081 | − | 0.868276i | \(-0.665228\pi\) |
0.938137 | − | 0.346263i | \(-0.112550\pi\) | |||||||
\(972\) | −331914. | − | 1.27626e6i | −0.351312 | − | 1.35085i | ||||
\(973\) | −310701. | − | 260709.i | −0.328184 | − | 0.275379i | ||||
\(974\) | −592748. | − | 28068.2i | −0.624817 | − | 0.0295867i | ||||
\(975\) | −727559. | − | 128288.i | −0.765348 | − | 0.134952i | ||||
\(976\) | 193947. | − | 509383.i | 0.203603 | − | 0.534742i | ||||
\(977\) | −544741. | − | 943519.i | −0.570691 | − | 0.988466i | −0.996495 | − | 0.0836504i | \(-0.973342\pi\) |
0.425804 | − | 0.904815i | \(-0.359991\pi\) | |||||||
\(978\) | 622980. | − | 1.48847e6i | 0.651323 | − | 1.55619i | ||||
\(979\) | 107376. | + | 295014.i | 0.112032 | + | 0.307806i | ||||
\(980\) | −3.06253e6 | + | 2.11095e6i | −3.18881 | + | 2.19799i | ||||
\(981\) | 877138. | − | 1.51925e6i | 0.911443 | − | 1.57867i | ||||
\(982\) | −146883. | + | 111850.i | −0.152317 | + | 0.115988i | ||||
\(983\) | −925576. | − | 1.10306e6i | −0.957867 | − | 1.14154i | −0.989859 | − | 0.142053i | \(-0.954630\pi\) |
0.0319925 | − | 0.999488i | \(-0.489815\pi\) | |||||||
\(984\) | −1.93614e6 | + | 406837.i | −1.99962 | + | 0.420175i | ||||
\(985\) | −264815. | − | 1.50184e6i | −0.272942 | − | 1.54793i | ||||
\(986\) | −110669. | + | 57093.6i | −0.113834 | + | 0.0587265i | ||||
\(987\) | 9382.84i | 0.00963163i | ||||||||
\(988\) | 434472. | + | 431369.i | 0.445090 | + | 0.441912i | ||||
\(989\) | −33711.2 | −0.0344652 | ||||||||
\(990\) | 254686. | + | 493679.i | 0.259857 | + | 0.503703i | ||||
\(991\) | 1.14263e6 | − | 201477.i | 1.16348 | − | 0.205153i | 0.441628 | − | 0.897198i | \(-0.354401\pi\) |
0.721855 | + | 0.692045i | \(0.243290\pi\) | |||||||
\(992\) | −443412. | − | 1.50226e6i | −0.450593 | − | 1.52659i | ||||
\(993\) | −764293. | + | 641318.i | −0.775106 | + | 0.650391i | ||||
\(994\) | 1.61848e6 | + | 2.12541e6i | 1.63808 | + | 2.15114i | ||||
\(995\) | 1.69717e6 | + | 979864.i | 1.71427 | + | 0.989736i | ||||
\(996\) | −859438. | + | 592396.i | −0.866355 | + | 0.597164i | ||||
\(997\) | 1.35192e6 | − | 492058.i | 1.36007 | − | 0.495024i | 0.443992 | − | 0.896031i | \(-0.353562\pi\) |
0.916075 | + | 0.401007i | \(0.131340\pi\) | |||||||
\(998\) | −1.47920e6 | − | 619097.i | −1.48513 | − | 0.621581i | ||||
\(999\) | −47439.3 | + | 27389.1i | −0.0475343 | + | 0.0274440i |
(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 | 76.5.l.a.23.6 | ✓ | 228 | |
4.3 | odd | 2 | inner | 76.5.l.a.23.13 | yes | 228 | |
19.5 | even | 9 | inner | 76.5.l.a.43.13 | yes | 228 | |
76.43 | odd | 18 | inner | 76.5.l.a.43.6 | yes | 228 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.5.l.a.23.6 | ✓ | 228 | 1.1 | even | 1 | trivial | |
76.5.l.a.23.13 | yes | 228 | 4.3 | odd | 2 | inner | |
76.5.l.a.43.6 | yes | 228 | 76.43 | odd | 18 | inner | |
76.5.l.a.43.13 | yes | 228 | 19.5 | even | 9 | inner |