Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,2,Mod(13,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([0, 27, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.bh (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.03431527681\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 357.8 | ||
Character | \(\chi\) | \(=\) | 380.357 |
Dual form | 380.2.bh.a.33.8 |
$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.935220 | − | 1.33563i | 0.539949 | − | 0.771128i | −0.452764 | − | 0.891631i | \(-0.649562\pi\) |
0.992713 | + | 0.120503i | \(0.0384508\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.351064 | − | 2.20834i | −0.157000 | − | 0.987599i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −4.10912 | + | 1.10104i | −1.55310 | + | 0.416152i | −0.930471 | − | 0.366364i | \(-0.880602\pi\) |
−0.622630 | + | 0.782517i | \(0.713936\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.116783 | + | 0.320859i | 0.0389277 | + | 0.106953i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.07824 | − | 5.33167i | −0.928125 | − | 1.60756i | −0.786457 | − | 0.617645i | \(-0.788087\pi\) |
−0.141667 | − | 0.989914i | \(-0.545246\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.00743 | − | 2.80603i | 1.11146 | − | 0.778253i | 0.134339 | − | 0.990935i | \(-0.457109\pi\) |
0.977121 | + | 0.212682i | \(0.0682199\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −3.27785 | − | 1.59639i | −0.846337 | − | 0.412186i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.67016 | − | 3.58167i | −0.405073 | − | 0.868682i | −0.997987 | − | 0.0634164i | \(-0.979800\pi\) |
0.592914 | − | 0.805266i | \(-0.297977\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.36426 | + | 2.77160i | 0.771814 | + | 0.635849i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.37235 | + | 6.51798i | −0.517689 | + | 1.42234i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −3.80191 | + | 0.332624i | −0.792753 | + | 0.0693569i | −0.476336 | − | 0.879263i | \(-0.658035\pi\) |
−0.316417 | + | 0.948620i | \(0.602480\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.75351 | + | 1.55053i | −0.950702 | + | 0.310107i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.26261 | + | 1.41011i | 1.01279 | + | 0.271376i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.08795 | + | 0.759952i | −0.387723 | + | 0.141120i | −0.528524 | − | 0.848918i | \(-0.677254\pi\) |
0.140801 | + | 0.990038i | \(0.455032\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.56290 | + | 1.47969i | 0.460311 | + | 0.265761i | 0.712175 | − | 0.702002i | \(-0.247710\pi\) |
−0.251864 | + | 0.967763i | \(0.581044\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −9.99998 | − | 0.874885i | −1.74077 | − | 0.152298i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 3.87402 | + | 8.68779i | 0.654829 | + | 1.46850i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.93721 | − | 2.93721i | 0.482875 | − | 0.482875i | −0.423174 | − | 0.906048i | \(-0.639084\pi\) |
0.906048 | + | 0.423174i | \(0.139084\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | − | 7.97671i | − | 1.27730i | ||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 11.8292 | − | 2.08580i | 1.84741 | − | 0.325748i | 0.863489 | − | 0.504368i | \(-0.168275\pi\) |
0.983918 | + | 0.178621i | \(0.0571635\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.317560 | − | 3.62973i | 0.0484275 | − | 0.553529i | −0.932763 | − | 0.360489i | \(-0.882610\pi\) |
0.981191 | − | 0.193040i | \(-0.0618347\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.667567 | − | 0.370539i | 0.0995150 | − | 0.0552366i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −5.68035 | − | 2.64879i | −0.828564 | − | 0.386366i | −0.0384011 | − | 0.999262i | \(-0.512226\pi\) |
−0.790163 | + | 0.612897i | \(0.790004\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 9.61040 | − | 5.54857i | 1.37291 | − | 0.792653i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −6.34576 | − | 1.11893i | −0.888584 | − | 0.156681i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0.309521 | + | 3.53784i | 0.0425159 | + | 0.485959i | 0.987366 | + | 0.158456i | \(0.0506516\pi\) |
−0.944850 | + | 0.327503i | \(0.893793\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −10.6935 | + | 8.66955i | −1.44191 | + | 1.16900i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 6.84816 | − | 1.90136i | 0.907061 | − | 0.251841i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 10.3122 | + | 3.75333i | 1.34253 | + | 0.488642i | 0.910609 | − | 0.413269i | \(-0.135613\pi\) |
0.431923 | + | 0.901910i | \(0.357835\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.42752 | + | 2.03693i | 0.310813 | + | 0.260803i | 0.784828 | − | 0.619714i | \(-0.212751\pi\) |
−0.474015 | + | 0.880517i | \(0.657196\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.833153 | − | 1.18987i | −0.104967 | − | 0.149909i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −7.60353 | − | 7.86466i | −0.943101 | − | 0.975491i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.868295 | − | 1.86206i | 0.106079 | − | 0.227487i | −0.846102 | − | 0.533020i | \(-0.821057\pi\) |
0.952181 | + | 0.305533i | \(0.0988347\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −3.11136 | + | 5.38903i | −0.374564 | + | 0.648763i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.80576 | − | 2.15203i | −0.214305 | − | 0.255399i | 0.648173 | − | 0.761493i | \(-0.275533\pi\) |
−0.862478 | + | 0.506094i | \(0.831089\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.0922302 | + | 0.0645803i | 0.0107947 | + | 0.00755855i | 0.578961 | − | 0.815355i | \(-0.303458\pi\) |
−0.568167 | + | 0.822914i | \(0.692347\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −2.37463 | + | 7.79903i | −0.274199 | + | 0.900554i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 18.5192 | + | 18.5192i | 2.11046 | + | 2.11046i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.95703 | + | 11.0989i | 0.220184 | + | 1.24872i | 0.871682 | + | 0.490073i | \(0.163030\pi\) |
−0.651498 | + | 0.758650i | \(0.725859\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 6.02039 | − | 5.05170i | 0.668932 | − | 0.561301i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −2.25226 | − | 8.40553i | −0.247217 | − | 0.922627i | −0.972256 | − | 0.233919i | \(-0.924845\pi\) |
0.725039 | − | 0.688708i | \(-0.241822\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −7.32320 | + | 4.94567i | −0.794313 | + | 0.536433i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.937677 | + | 3.49946i | −0.100529 | + | 0.375181i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −0.149779 | + | 0.849439i | −0.0158765 | + | 0.0900403i | −0.991716 | − | 0.128446i | \(-0.959001\pi\) |
0.975840 | + | 0.218487i | \(0.0701121\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −13.3775 | + | 15.9426i | −1.40234 | + | 1.67124i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 4.37320 | − | 2.03926i | 0.453480 | − | 0.211461i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 4.93956 | − | 8.40243i | 0.506788 | − | 0.862071i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 11.9968 | − | 5.59420i | 1.21809 | − | 0.568004i | 0.296077 | − | 0.955164i | \(-0.404322\pi\) |
0.922013 | + | 0.387160i | \(0.126544\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.35123 | − | 1.61033i | 0.135804 | − | 0.161844i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.09573 | − | 6.21419i | 0.109029 | − | 0.618335i | −0.880505 | − | 0.474037i | \(-0.842796\pi\) |
0.989534 | − | 0.144298i | \(-0.0460925\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.53468 | + | 9.45957i | −0.249750 | + | 0.932079i | 0.721187 | + | 0.692741i | \(0.243597\pi\) |
−0.970936 | + | 0.239338i | \(0.923070\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 15.2267 | + | 2.95073i | 1.48598 | + | 0.287961i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.99406 | − | 14.9061i | −0.386121 | − | 1.44102i | −0.836393 | − | 0.548131i | \(-0.815340\pi\) |
0.450272 | − | 0.892892i | \(-0.351327\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.63062 | + | 2.20735i | −0.251967 | + | 0.211426i | −0.760019 | − | 0.649901i | \(-0.774810\pi\) |
0.508052 | + | 0.861327i | \(0.330366\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.17610 | − | 6.66997i | −0.111630 | − | 0.633086i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 3.86404 | + | 3.86404i | 0.363498 | + | 0.363498i | 0.865099 | − | 0.501601i | \(-0.167255\pi\) |
−0.501601 | + | 0.865099i | \(0.667255\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.06926 | + | 8.27913i | 0.192959 | + | 0.772033i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 1.36834 | + | 0.958123i | 0.126503 | + | 0.0885785i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 10.8064 | + | 12.8786i | 0.990623 | + | 1.18058i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −13.4511 | + | 23.2981i | −1.22283 | + | 2.11801i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 8.27701 | − | 17.7501i | 0.746313 | − | 1.60047i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 5.09289 | + | 9.95301i | 0.455522 | + | 0.890225i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −6.68188 | − | 9.54271i | −0.592921 | − | 0.846779i | 0.404790 | − | 0.914410i | \(-0.367345\pi\) |
−0.997710 | + | 0.0676311i | \(0.978456\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −4.55100 | − | 3.81874i | −0.400693 | − | 0.336221i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 4.64450 | + | 1.69046i | 0.405791 | + | 0.147696i | 0.536848 | − | 0.843679i | \(-0.319615\pi\) |
−0.131057 | + | 0.991375i | \(0.541837\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −16.8758 | − | 7.68467i | −1.46331 | − | 0.666345i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 1.26649 | − | 12.1167i | 0.109002 | − | 1.04284i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 0.922477 | + | 10.5440i | 0.0788125 | + | 0.900831i | 0.927961 | + | 0.372677i | \(0.121560\pi\) |
−0.849149 | + | 0.528154i | \(0.822884\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −12.0785 | − | 2.12977i | −1.02449 | − | 0.180645i | −0.363935 | − | 0.931424i | \(-0.618567\pi\) |
−0.660553 | + | 0.750779i | \(0.729678\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −8.85018 | + | 5.10966i | −0.745320 | + | 0.430311i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −27.2967 | − | 12.7286i | −2.28266 | − | 1.06442i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.41123 | + | 4.34411i | 0.200242 | + | 0.360759i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 1.57699 | − | 18.0251i | 0.130068 | − | 1.48668i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 10.7707 | − | 1.89916i | 0.882369 | − | 0.155585i | 0.285936 | − | 0.958249i | \(-0.407695\pi\) |
0.596432 | + | 0.802663i | \(0.296584\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 22.0807i | 1.79690i | 0.439074 | + | 0.898451i | \(0.355307\pi\) | ||||
−0.439074 | + | 0.898451i | \(0.644693\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0.954164 | − | 0.954164i | 0.0771396 | − | 0.0771396i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.36792 | − | 6.17922i | 0.190196 | − | 0.496327i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −18.5516 | − | 1.62305i | −1.48058 | − | 0.129534i | −0.681968 | − | 0.731382i | \(-0.738876\pi\) |
−0.798610 | + | 0.601848i | \(0.794431\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 5.01472 | + | 2.89525i | 0.397693 | + | 0.229608i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 15.2563 | − | 5.55283i | 1.20236 | − | 0.437624i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 6.81767 | + | 1.82679i | 0.534001 | + | 0.143085i | 0.515735 | − | 0.856748i | \(-0.327519\pi\) |
0.0182660 | + | 0.999833i | \(0.494185\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 1.57859 | + | 22.3905i | 0.122893 | + | 1.74310i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −0.466372 | + | 0.0408023i | −0.0360889 | + | 0.00315737i | −0.105186 | − | 0.994453i | \(-0.533544\pi\) |
0.0690970 | + | 0.997610i | \(0.477988\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 3.73941 | − | 10.2739i | 0.287647 | − | 0.790303i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.496404 | + | 1.40313i | −0.0379610 | + | 0.107300i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −6.26796 | − | 13.4417i | −0.476544 | − | 1.02195i | −0.986802 | − | 0.161930i | \(-0.948228\pi\) |
0.510258 | − | 0.860021i | \(-0.329550\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 17.8255 | − | 11.6051i | 1.34748 | − | 0.877264i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 14.6572 | − | 10.2631i | 1.10170 | − | 0.771422i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 1.69711 | + | 2.93948i | 0.126848 | + | 0.219707i | 0.922454 | − | 0.386107i | \(-0.126181\pi\) |
−0.795606 | + | 0.605815i | \(0.792847\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.565054 | − | 1.55247i | −0.0420001 | − | 0.115394i | 0.916920 | − | 0.399072i | \(-0.130668\pi\) |
−0.958920 | + | 0.283678i | \(0.908445\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 4.99086 | − | 1.33730i | 0.368935 | − | 0.0988559i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −7.51750 | − | 5.45521i | −0.552698 | − | 0.401075i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −13.9551 | + | 19.9300i | −1.02050 | + | 1.45742i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −23.1773 | −1.68590 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −10.4096 | −0.753214 | −0.376607 | − | 0.926373i | \(-0.622909\pi\) | ||||
−0.376607 | + | 0.926373i | \(0.622909\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 5.18430 | − | 7.40395i | 0.373174 | − | 0.532948i | −0.588011 | − | 0.808853i | \(-0.700089\pi\) |
0.961185 | + | 0.275905i | \(0.0889776\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −17.6153 | + | 2.80033i | −1.26145 | + | 0.200536i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 1.41494 | − | 0.379131i | 0.100810 | − | 0.0270120i | −0.208061 | − | 0.978116i | \(-0.566715\pi\) |
0.308871 | + | 0.951104i | \(0.400049\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −5.25239 | − | 14.4308i | −0.372332 | − | 1.02297i | −0.974457 | − | 0.224573i | \(-0.927901\pi\) |
0.602125 | − | 0.798402i | \(-0.294321\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.67499 | − | 2.90116i | −0.118144 | − | 0.204632i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 7.74291 | − | 5.42164i | 0.543445 | − | 0.380525i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −8.75895 | − | 25.3906i | −0.611752 | − | 1.77335i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.550725 | − | 1.18103i | −0.0382780 | − | 0.0820875i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 4.42125 | − | 26.4688i | 0.305825 | − | 1.83088i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.40816 | − | 20.3537i | 0.509998 | − | 1.40121i | −0.371240 | − | 0.928537i | \(-0.621067\pi\) |
0.881238 | − | 0.472672i | \(-0.156711\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −4.56310 | + | 0.399220i | −0.312659 | + | 0.0273541i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −8.12716 | + | 0.572987i | −0.554268 | + | 0.0390774i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −12.1605 | − | 3.25839i | −0.825507 | − | 0.221194i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0.172511 | − | 0.0627889i | 0.0116572 | − | 0.00424288i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −16.7433 | − | 9.66676i | −1.12628 | − | 0.650257i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 19.4722 | + | 1.70360i | 1.30396 | + | 0.114082i | 0.717876 | − | 0.696170i | \(-0.245114\pi\) |
0.586082 | + | 0.810252i | \(0.300670\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −1.05263 | − | 1.34413i | −0.0701755 | − | 0.0896087i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −3.26415 | + | 3.26415i | −0.216649 | + | 0.216649i | −0.807085 | − | 0.590436i | \(-0.798956\pi\) |
0.590436 | + | 0.807085i | \(0.298956\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − | 4.99206i | − | 0.329884i | −0.986303 | − | 0.164942i | \(-0.947256\pi\) | ||
0.986303 | − | 0.164942i | \(-0.0527438\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 42.0544 | − | 7.41532i | 2.76698 | − | 0.487893i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −0.826433 | + | 9.44617i | −0.0541414 | + | 0.618839i | 0.919852 | + | 0.392265i | \(0.128308\pi\) |
−0.973994 | + | 0.226575i | \(0.927247\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −3.85526 | + | 13.4740i | −0.251489 | + | 0.878948i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 16.6543 | + | 7.76603i | 1.08181 | + | 0.504458i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −5.08115 | + | 2.93360i | −0.328672 | + | 0.189759i | −0.655251 | − | 0.755411i | \(-0.727437\pi\) |
0.326579 | + | 0.945170i | \(0.394104\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −26.1187 | − | 4.60543i | −1.68245 | − | 0.296662i | −0.750940 | − | 0.660371i | \(-0.770399\pi\) |
−0.931513 | + | 0.363709i | \(0.881510\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.307706 | + | 3.51709i | 0.0197393 | + | 0.225622i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −15.6270 | − | 19.2751i | −0.998371 | − | 1.23144i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 21.2592 | + | 1.66677i | 1.35269 | + | 0.106054i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −13.3330 | − | 4.85283i | −0.844948 | − | 0.307536i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 14.2230 | + | 11.9345i | 0.897747 | + | 0.753299i | 0.969749 | − | 0.244105i | \(-0.0784943\pi\) |
−0.0720018 | + | 0.997405i | \(0.522939\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 13.4766 | + | 19.2466i | 0.847269 | + | 1.21003i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.243206 | + | 14.4064i | −0.0152302 | + | 0.902163i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −5.70587 | + | 12.2363i | −0.355922 | + | 0.763278i | −0.999999 | − | 0.00168322i | \(-0.999464\pi\) |
0.644076 | + | 0.764961i | \(0.277242\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −8.83538 | + | 15.3033i | −0.549004 | + | 0.950902i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.487675 | − | 0.581189i | −0.0301863 | − | 0.0359747i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 7.56965 | + | 5.30033i | 0.466765 | + | 0.326832i | 0.783187 | − | 0.621786i | \(-0.213593\pi\) |
−0.316422 | + | 0.948618i | \(0.602482\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 7.70407 | − | 1.92553i | 0.473258 | − | 0.118284i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.994461 | + | 0.994461i | 0.0608601 | + | 0.0608601i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 0.0606558 | + | 0.343996i | 0.00369825 | + | 0.0209738i | 0.986601 | − | 0.163151i | \(-0.0521659\pi\) |
−0.982903 | + | 0.184125i | \(0.941055\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 12.2387 | − | 10.2695i | 0.743449 | − | 0.623828i | −0.190313 | − | 0.981724i | \(-0.560950\pi\) |
0.933762 | + | 0.357896i | \(0.116506\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 8.78263 | + | 32.7772i | 0.531549 | + | 1.98377i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 22.8994 | + | 20.5712i | 1.38088 | + | 1.24049i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.10587 | + | 4.12716i | −0.0664452 | + | 0.247977i | −0.991158 | − | 0.132690i | \(-0.957639\pi\) |
0.924712 | + | 0.380666i | \(0.124305\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −0.175469 | + | 0.995135i | −0.0105051 | + | 0.0595771i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −6.18716 | + | 7.37357i | −0.369095 | + | 0.439870i | −0.918341 | − | 0.395791i | \(-0.870471\pi\) |
0.549246 | + | 0.835661i | \(0.314915\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −21.6840 | + | 10.1114i | −1.28898 | + | 0.601061i | −0.941622 | − | 0.336672i | \(-0.890699\pi\) |
−0.347357 | + | 0.937733i | \(0.612921\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −6.60298 | − | 14.4555i | −0.391127 | − | 0.856273i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −46.3109 | + | 21.5951i | −2.73365 | + | 1.27472i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 0.888475 | − | 1.05884i | 0.0522632 | − | 0.0622849i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 3.74785 | − | 21.2551i | 0.219703 | − | 1.24600i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −3.64921 | + | 13.6190i | −0.213189 | + | 0.795633i | 0.773607 | + | 0.633666i | \(0.218451\pi\) |
−0.986796 | + | 0.161967i | \(0.948216\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.66838 | − | 24.0904i | 0.271804 | − | 1.40260i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −8.68133 | − | 32.3992i | −0.503742 | − | 1.87999i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −14.3025 | + | 12.0012i | −0.827137 | + | 0.694050i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.69157 | + | 15.2646i | 0.155139 | + | 0.879840i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −7.27512 | − | 7.27512i | −0.417945 | − | 0.417945i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 3.64602 | − | 6.07588i | 0.208771 | − | 0.347904i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 15.5691 | + | 10.9016i | 0.888573 | + | 0.622185i | 0.926169 | − | 0.377108i | \(-0.123081\pi\) |
−0.0375967 | + | 0.999293i | \(0.511970\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 10.2640 | + | 12.2322i | 0.583899 | + | 0.695864i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 1.87691 | − | 3.25090i | 0.106430 | − | 0.184341i | −0.807892 | − | 0.589331i | \(-0.799391\pi\) |
0.914321 | + | 0.404989i | \(0.132725\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.738313 | + | 1.58332i | −0.0417319 | + | 0.0894944i | −0.926068 | − | 0.377356i | \(-0.876833\pi\) |
0.884336 | + | 0.466850i | \(0.154611\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −2.33514 | + | 2.25760i | −0.131570 | + | 0.127201i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 3.20502 | + | 4.57724i | 0.180012 | + | 0.257084i | 0.899010 | − | 0.437929i | \(-0.144288\pi\) |
−0.718998 | + | 0.695012i | \(0.755399\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 10.4790 | + | 8.79295i | 0.586713 | + | 0.492311i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −23.6443 | − | 8.60583i | −1.31970 | − | 0.480331i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 4.30810 | − | 16.6787i | 0.239709 | − | 0.928026i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −14.6985 | + | 19.5521i | −0.815326 | + | 1.08456i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0.488003 | + | 5.57789i | 0.0269866 | + | 0.308458i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 26.2576 | + | 4.62993i | 1.44763 | + | 0.255256i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.83740 | − | 1.63817i | 0.155958 | − | 0.0900422i | −0.419990 | − | 0.907529i | \(-0.637966\pi\) |
0.575948 | + | 0.817486i | \(0.304633\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 1.28545 | + | 0.599414i | 0.0704421 | + | 0.0328477i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −4.41689 | − | 1.26378i | −0.241321 | − | 0.0690479i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.03419 | − | 11.8209i | 0.0563360 | − | 0.643923i | −0.914565 | − | 0.404440i | \(-0.867466\pi\) |
0.970900 | − | 0.239483i | \(-0.0769780\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 8.77465 | − | 1.54721i | 0.476574 | − | 0.0840328i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | − | 18.2194i | − | 0.986637i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −12.3245 | + | 12.3245i | −0.665462 | + | 0.665462i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 12.9931 | + | 4.97904i | 0.699524 | + | 0.268062i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −5.35539 | − | 0.468536i | −0.287492 | − | 0.0251523i | −0.0575026 | − | 0.998345i | \(-0.518314\pi\) |
−0.229990 | + | 0.973193i | \(0.573869\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −17.3820 | − | 10.0355i | −0.930436 | − | 0.537187i | −0.0434863 | − | 0.999054i | \(-0.513846\pi\) |
−0.886949 | + | 0.461867i | \(0.847180\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 25.0464 | − | 9.11613i | 1.33688 | − | 0.486583i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 28.2204 | + | 7.56165i | 1.50202 | + | 0.402466i | 0.913777 | − | 0.406216i | \(-0.133152\pi\) |
0.588246 | + | 0.808682i | \(0.299819\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.11846 | + | 4.74324i | −0.218585 | + | 0.251745i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 27.3074 | − | 2.38909i | 1.44526 | − | 0.126444i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 9.08029 | − | 24.9479i | 0.479239 | − | 1.31670i | −0.430901 | − | 0.902399i | \(-0.641804\pi\) |
0.910140 | − | 0.414300i | \(-0.135974\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3.63647 | + | 18.6488i | 0.191393 | + | 0.981513i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 18.5379 | + | 39.7546i | 0.972985 | + | 2.08657i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0.110236 | − | 0.226347i | 0.00577003 | − | 0.0118476i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.658107 | + | 0.460812i | −0.0343529 | + | 0.0240542i | −0.590627 | − | 0.806945i | \(-0.701119\pi\) |
0.556274 | + | 0.830999i | \(0.312231\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 2.05070 | + | 3.55191i | 0.106755 | + | 0.184905i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −5.16714 | − | 14.1966i | −0.268264 | − | 0.737051i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5.21679 | + | 1.39783i | −0.270115 | + | 0.0723771i | −0.391334 | − | 0.920249i | \(-0.627986\pi\) |
0.121219 | + | 0.992626i | \(0.461320\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 18.0565 | + | 2.50603i | 0.932435 | + | 0.129411i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −6.23486 | + | 8.90431i | −0.321112 | + | 0.458595i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 8.12668 | 0.417440 | 0.208720 | − | 0.977975i | \(-0.433070\pi\) | ||||
0.208720 | + | 0.977975i | \(0.433070\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −18.9946 | −0.973122 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 6.94993 | − | 9.92553i | 0.355125 | − | 0.507171i | −0.601350 | − | 0.798986i | \(-0.705370\pi\) |
0.956475 | + | 0.291815i | \(0.0942591\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 34.3953 | − | 47.3981i | 1.75294 | − | 2.41563i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 1.20172 | − | 0.322000i | 0.0610868 | − | 0.0163682i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 11.2178 | + | 30.8207i | 0.568766 | + | 1.56267i | 0.806433 | + | 0.591326i | \(0.201395\pi\) |
−0.237667 | + | 0.971347i | \(0.576383\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 7.54115 | + | 13.0616i | 0.381372 | + | 0.660556i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 6.60145 | − | 4.62239i | 0.332999 | − | 0.233169i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 23.8231 | − | 8.21821i | 1.19867 | − | 0.413503i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 6.21977 | + | 13.3383i | 0.312161 | + | 0.669432i | 0.998315 | − | 0.0580241i | \(-0.0184800\pi\) |
−0.686154 | + | 0.727457i | \(0.740702\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −26.0464 | + | 15.3530i | −1.30395 | + | 0.768610i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 5.99205 | − | 16.4630i | 0.299229 | − | 0.822124i | −0.695401 | − | 0.718622i | \(-0.744773\pi\) |
0.994629 | − | 0.103502i | \(-0.0330048\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 14.4227 | − | 1.26182i | 0.718447 | − | 0.0628560i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −13.2694 | − | 11.5216i | −0.659362 | − | 0.572512i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −24.7017 | − | 6.61880i | −1.22442 | − | 0.328082i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −9.01686 | + | 3.28187i | −0.445855 | + | 0.162278i | −0.555184 | − | 0.831728i | \(-0.687352\pi\) |
0.109329 | + | 0.994006i | \(0.465130\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 14.9456 | + | 8.62883i | 0.737211 | + | 0.425629i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −46.5066 | − | 4.06880i | −2.28844 | − | 0.200212i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −17.7716 | + | 7.92462i | −0.872372 | + | 0.389004i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −14.1407 | + | 14.1407i | −0.692472 | + | 0.692472i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − | 8.49953i | − | 0.415229i | −0.978211 | − | 0.207615i | \(-0.933430\pi\) | ||
0.978211 | − | 0.207615i | \(-0.0665700\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 18.9233 | − | 3.33669i | 0.922267 | − | 0.162621i | 0.307698 | − | 0.951484i | \(-0.400441\pi\) |
0.614569 | + | 0.788863i | \(0.289330\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0.186519 | − | 2.13193i | 0.00906888 | − | 0.103658i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 13.4926 | + | 14.4359i | 0.654488 | + | 0.700242i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −12.2177 | − | 5.69722i | −0.591257 | − | 0.275708i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −42.5292 | + | 24.5542i | −2.05333 | + | 1.18549i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 13.3647 | + | 2.35656i | 0.643757 | + | 0.113512i | 0.485989 | − | 0.873965i | \(-0.338459\pi\) |
0.157767 | + | 0.987476i | \(0.449570\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 3.08921 | + | 35.3099i | 0.148458 | + | 1.69688i | 0.596292 | + | 0.802768i | \(0.296640\pi\) |
−0.447834 | + | 0.894117i | \(0.647804\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 8.05716 | + | 0.842174i | 0.386311 | + | 0.0403792i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −13.7125 | − | 9.41834i | −0.655958 | − | 0.450540i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 33.3682 | + | 12.1450i | 1.59258 | + | 0.579650i | 0.977890 | − | 0.209121i | \(-0.0670603\pi\) |
0.614687 | + | 0.788772i | \(0.289283\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.90264 | + | 2.43561i | 0.138221 | + | 0.115981i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 2.71132 | + | 3.87217i | 0.128819 | + | 0.183972i | 0.878380 | − | 0.477962i | \(-0.158624\pi\) |
−0.749562 | + | 0.661935i | \(0.769736\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.92843 | + | 0.0325554i | 0.0914163 | + | 0.00154327i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 7.53637 | − | 16.1618i | 0.356458 | − | 0.764427i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 5.21499 | − | 9.03263i | 0.246111 | − | 0.426276i | −0.716333 | − | 0.697759i | \(-0.754181\pi\) |
0.962443 | + | 0.271483i | \(0.0875140\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −47.5339 | − | 56.6487i | −2.23828 | − | 2.66748i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 29.4917 | + | 20.6503i | 1.38564 | + | 0.970236i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 39.9031 | + | 23.9451i | 1.87068 | + | 1.12256i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −21.8897 | − | 21.8897i | −1.02396 | − | 1.02396i | −0.999706 | − | 0.0242509i | \(-0.992280\pi\) |
−0.0242509 | − | 0.999706i | \(-0.507720\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −3.73884 | − | 21.2040i | −0.174514 | − | 0.989720i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −23.8271 | + | 19.9933i | −1.10974 | + | 0.931180i | −0.998041 | − | 0.0625622i | \(-0.980073\pi\) |
−0.111696 | + | 0.993742i | \(0.535628\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.56144 | + | 13.2915i | 0.165514 | + | 0.617708i | 0.997974 | + | 0.0636221i | \(0.0202652\pi\) |
−0.832460 | + | 0.554085i | \(0.813068\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −6.03864 | − | 8.94160i | −0.280035 | − | 0.414657i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −1.47897 | + | 5.51958i | −0.0684385 | + | 0.255416i | −0.991666 | − | 0.128839i | \(-0.958875\pi\) |
0.923227 | + | 0.384255i | \(0.125542\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.51773 | + | 8.60747i | −0.0700822 | + | 0.397456i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −19.5176 | + | 23.2602i | −0.899324 | + | 1.07177i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −20.3301 | + | 9.48007i | −0.934777 | + | 0.435894i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −20.2895 | − | 7.95842i | −0.930946 | − | 0.365158i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1.09900 | + | 0.512472i | −0.0503198 | + | 0.0234645i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 1.78967 | − | 2.13284i | 0.0817719 | − | 0.0974520i | −0.723607 | − | 0.690212i | \(-0.757517\pi\) |
0.805379 | + | 0.592760i | \(0.201962\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 3.52876 | − | 20.0126i | 0.160897 | − | 0.912495i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 6.85143 | − | 25.5699i | 0.311751 | − | 1.16347i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −16.5655 | − | 24.5290i | −0.752201 | − | 1.11381i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 7.92017 | + | 29.5585i | 0.358897 | + | 1.33942i | 0.875509 | + | 0.483202i | \(0.160526\pi\) |
−0.516612 | + | 0.856220i | \(0.672807\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 8.81594 | − | 7.39745i | 0.398671 | − | 0.334524i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −0.652704 | − | 3.70167i | −0.0294561 | − | 0.167054i | 0.966531 | − | 0.256549i | \(-0.0825857\pi\) |
−0.995987 | + | 0.0894954i | \(0.971475\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 6.20911 | + | 6.20911i | 0.279644 | + | 0.279644i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −4.03052 | − | 2.41864i | −0.181158 | − | 0.108710i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 9.78956 | + | 6.85472i | 0.439122 | + | 0.307476i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.137101 | − | 0.163390i | −0.00613746 | − | 0.00731435i | 0.762967 | − | 0.646437i | \(-0.223742\pi\) |
−0.769104 | + | 0.639123i | \(0.779297\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −0.381663 | + | 0.661060i | −0.0170515 | + | 0.0295340i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 5.13886 | − | 11.0203i | 0.229130 | − | 0.491372i | −0.757806 | − | 0.652480i | \(-0.773729\pi\) |
0.986937 | + | 0.161108i | \(0.0515066\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −14.1077 | − | 0.238164i | −0.627784 | − | 0.0105981i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −10.2250 | − | 14.6029i | −0.454109 | − | 0.648536i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −13.8979 | − | 11.6617i | −0.616014 | − | 0.516897i | 0.280534 | − | 0.959844i | \(-0.409488\pi\) |
−0.896548 | + | 0.442947i | \(0.853933\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.450090 | − | 0.163819i | −0.0199108 | − | 0.00724694i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 13.7965 | + | 19.3298i | 0.609131 | + | 0.853433i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 21.7797 | + | 2.27653i | 0.959730 | + | 0.100316i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.36301 | + | 38.4394i | 0.147905 | + | 1.69056i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −23.8150 | − | 4.19924i | −1.04536 | − | 0.184326i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −1.66873 | + | 0.963444i | −0.0731086 | + | 0.0422092i | −0.536109 | − | 0.844149i | \(-0.680106\pi\) |
0.463000 | + | 0.886358i | \(0.346773\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 11.9082 | + | 5.55289i | 0.520709 | + | 0.242811i | 0.665160 | − | 0.746701i | \(-0.268364\pi\) |
−0.144450 | + | 0.989512i | \(0.546141\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 1.17064 | − | 34.6617i | 0.0510908 | − | 1.51276i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 1.01931 | − | 11.6508i | 0.0444020 | − | 0.507517i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −8.30669 | + | 1.46469i | −0.361160 | + | 0.0636823i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 3.74708i | 0.162610i | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 41.5517 | − | 41.5517i | 1.79981 | − | 1.79981i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −31.5154 | + | 14.0532i | −1.36253 | + | 0.607574i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 5.51324 | + | 0.482346i | 0.237914 | + | 0.0208148i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −59.1663 | − | 34.1597i | −2.54847 | − | 1.47136i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 6.95375 | − | 2.53096i | 0.298965 | − | 0.108814i | −0.188182 | − | 0.982134i | \(-0.560260\pi\) |
0.487148 | + | 0.873320i | \(0.338037\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −2.60198 | − | 0.697199i | −0.111662 | − | 0.0299197i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 5.79809 | + | 5.03437i | 0.248363 | + | 0.215649i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.86763 | + | 0.250885i | −0.122611 | + | 0.0107271i | −0.148296 | − | 0.988943i | \(-0.547379\pi\) |
0.0256851 | + | 0.999670i | \(0.491823\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −0.370075 | + | 1.01677i | −0.0157944 | + | 0.0433948i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −9.13069 | − | 3.23029i | −0.388980 | − | 0.137615i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −20.2620 | − | 43.4519i | −0.861626 | − | 1.84776i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −14.3167 | + | 4.93880i | −0.607708 | + | 0.209640i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −7.23405 | + | 5.06534i | −0.306517 | + | 0.214625i | −0.716707 | − | 0.697375i | \(-0.754351\pi\) |
0.410190 | + | 0.912000i | \(0.365462\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −8.91254 | − | 15.4370i | −0.376960 | − | 0.652915i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 13.5680 | + | 37.2778i | 0.572842 | + | 1.57387i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 1.04101 | − | 0.278939i | 0.0438735 | − | 0.0117559i | −0.236816 | − | 0.971555i | \(-0.576104\pi\) |
0.280689 | + | 0.959799i | \(0.409437\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 7.17657 | − | 9.88962i | 0.301921 | − | 0.416059i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −19.1764 | + | 27.3867i | −0.805332 | + | 1.15013i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −32.1736 | −1.34879 | −0.674394 | − | 0.738372i | \(-0.735595\pi\) | ||||
−0.674394 | + | 0.738372i | \(0.735595\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 36.3716 | 1.52210 | 0.761052 | − | 0.648690i | \(-0.224683\pi\) | ||||
0.761052 | + | 0.648690i | \(0.224683\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −9.73529 | + | 13.9034i | −0.406697 | + | 0.580824i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 17.5567 | − | 7.47613i | 0.732164 | − | 0.311776i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 21.6606 | − | 5.80394i | 0.901742 | − | 0.241621i | 0.221978 | − | 0.975052i | \(-0.428749\pi\) |
0.679764 | + | 0.733431i | \(0.262082\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −5.04049 | − | 13.8486i | −0.209476 | − | 0.575530i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 18.5096 | + | 32.0595i | 0.767906 | + | 1.33005i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 17.9098 | − | 12.5406i | 0.741748 | − | 0.519378i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 1.63548 | − | 3.35812i | 0.0676189 | − | 0.138841i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 16.6122 | + | 35.6251i | 0.685660 | + | 1.47040i | 0.872804 | + | 0.488071i | \(0.162299\pi\) |
−0.187144 | + | 0.982333i | \(0.559923\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.52116 | + | 12.0814i | 0.186291 | + | 0.497806i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0.816897 | − | 2.24440i | 0.0336026 | − | 0.0923225i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −44.5317 | + | 3.89602i | −1.82870 | + | 0.159990i | −0.948945 | − | 0.315442i | \(-0.897847\pi\) |
−0.879752 | + | 0.475432i | \(0.842292\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 24.6465 | − | 28.3854i | 1.01041 | − | 1.16369i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −24.1864 | − | 6.48073i | −0.989885 | − | 0.265239i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 25.9608 | − | 9.44895i | 1.06073 | − | 0.386074i | 0.248027 | − | 0.968753i | \(-0.420218\pi\) |
0.812702 | + | 0.582679i | \(0.197996\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 31.0150 | + | 17.9065i | 1.26513 | + | 0.730423i | 0.974062 | − | 0.226279i | \(-0.0726562\pi\) |
0.291068 | + | 0.956702i | \(0.405990\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0.698862 | + | 0.0611425i | 0.0284599 | + | 0.00248992i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 56.1722 | + | 21.5256i | 2.28372 | + | 0.875138i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 28.3695 | − | 28.3695i | 1.15148 | − | 1.15148i | 0.165229 | − | 0.986255i | \(-0.447164\pi\) |
0.986255 | − | 0.165229i | \(-0.0528363\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | − | 15.4121i | − | 0.624530i | ||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −30.1962 | + | 5.32440i | −1.22161 | + | 0.215402i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 2.34738 | − | 26.8307i | 0.0948100 | − | 1.08368i | −0.788545 | − | 0.614978i | \(-0.789165\pi\) |
0.883355 | − | 0.468705i | \(-0.155279\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −42.1040 | − | 12.0470i | −1.69780 | − | 0.485783i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 18.1404 | + | 8.45900i | 0.730304 | + | 0.340546i | 0.751951 | − | 0.659219i | \(-0.229113\pi\) |
−0.0216467 | + | 0.999766i | \(0.506891\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 19.2344 | − | 11.1050i | 0.773095 | − | 0.446347i | −0.0608824 | − | 0.998145i | \(-0.519391\pi\) |
0.833978 | + | 0.551798i | \(0.186058\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −20.4770 | − | 3.61065i | −0.821714 | − | 0.144890i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −0.319802 | − | 3.65536i | −0.0128126 | − | 0.146449i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 20.1917 | − | 14.7410i | 0.807667 | − | 0.589638i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −31.2177 | − | 30.6593i | −1.24671 | − | 1.22441i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −15.4257 | − | 5.61451i | −0.615064 | − | 0.223865i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0.161770 | + | 0.135741i | 0.00643997 | + | 0.00540377i | 0.646002 | − | 0.763336i | \(-0.276440\pi\) |
−0.639562 | + | 0.768740i | \(0.720884\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −20.2569 | − | 28.9298i | −0.805138 | − | 1.14986i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −18.7278 | + | 18.1059i | −0.743189 | + | 0.718512i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 22.9435 | − | 49.2026i | 0.909056 | − | 1.94948i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0.479614 | − | 0.830717i | 0.0189733 | − | 0.0328626i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −10.8499 | − | 12.9304i | −0.428544 | − | 0.510719i | 0.507958 | − | 0.861382i | \(-0.330401\pi\) |
−0.936502 | + | 0.350663i | \(0.885956\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −32.1531 | − | 22.5139i | −1.26800 | − | 0.887860i | −0.270795 | − | 0.962637i | \(-0.587287\pi\) |
−0.997200 | + | 0.0747770i | \(0.976175\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −6.83538 | + | 11.3908i | −0.269143 | + | 0.448511i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −0.922638 | − | 0.922638i | −0.0362726 | − | 0.0362726i | 0.688738 | − | 0.725010i | \(-0.258165\pi\) |
−0.725010 | + | 0.688738i | \(0.758165\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −11.7319 | − | 66.5348i | −0.460517 | − | 2.61172i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −15.7247 | + | 13.1946i | −0.616300 | + | 0.517137i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 7.12674 | + | 26.5973i | 0.278891 | + | 1.04083i | 0.953189 | + | 0.302375i | \(0.0977796\pi\) |
−0.674298 | + | 0.738459i | \(0.735554\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 2.10259 | − | 10.8501i | 0.0821549 | − | 0.423947i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −0.00995024 | + | 0.0371348i | −0.000388196 | + | 0.00144877i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 1.23550 | − | 7.00689i | 0.0481284 | − | 0.272950i | −0.951241 | − | 0.308448i | \(-0.900191\pi\) |
0.999370 | + | 0.0354978i | \(0.0113017\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 14.5776 | − | 17.3729i | 0.567002 | − | 0.675727i | −0.404010 | − | 0.914754i | \(-0.632384\pi\) |
0.971013 | + | 0.239027i | \(0.0768285\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −28.5699 | + | 13.3224i | −1.10956 | + | 0.517398i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −11.0459 | + | 39.9652i | −0.428340 | + | 1.54978i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 7.68543 | − | 3.58377i | 0.297581 | − | 0.138764i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 20.4862 | − | 24.4145i | 0.792043 | − | 0.943920i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 3.38776 | − | 19.2129i | 0.130783 | − | 0.741707i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.16149 | + | 4.33474i | −0.0447722 | + | 0.167092i | −0.984692 | − | 0.174303i | \(-0.944233\pi\) |
0.939920 | + | 0.341395i | \(0.110899\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −27.2023 | + | 1.45688i | −1.04702 | + | 0.0560752i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 3.58347 | + | 13.3737i | 0.137724 | + | 0.513993i | 0.999972 | + | 0.00750657i | \(0.00238944\pi\) |
−0.862248 | + | 0.506487i | \(0.830944\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −43.1368 | + | 36.1961i | −1.65544 | + | 1.38908i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 1.30700 | + | 7.41239i | 0.0500845 | + | 0.284043i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 17.0959 | + | 17.0959i | 0.654158 | + | 0.654158i | 0.953992 | − | 0.299833i | \(-0.0969311\pi\) |
−0.299833 | + | 0.953992i | \(0.596931\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 22.9608 | − | 5.73874i | 0.877286 | − | 0.219266i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −6.66755 | − | 4.66867i | −0.254383 | − | 0.178121i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 11.1677 | + | 13.3091i | 0.425454 | + | 0.507036i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −10.1020 | + | 17.4972i | −0.384298 | + | 0.665623i | −0.991671 | − | 0.128793i | \(-0.958890\pi\) |
0.607374 | + | 0.794416i | \(0.292223\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −3.77933 | + | 8.10479i | −0.143565 | + | 0.307876i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −0.462919 | + | 27.4212i | −0.0175595 | + | 1.04014i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −27.2273 | − | 38.8846i | −1.03131 | − | 1.47286i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 11.8437 | + | 9.93805i | 0.447970 | + | 0.375892i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 12.9853 | + | 4.72625i | 0.490447 | + | 0.178508i | 0.575392 | − | 0.817877i | \(-0.304849\pi\) |
−0.0849454 | + | 0.996386i | \(0.527072\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 18.0223 | − | 1.74077i | 0.679724 | − | 0.0656542i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 14.3908 | + | 17.7504i | 0.541990 | + | 0.668518i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 2.33956 | + | 26.7413i | 0.0879882 | + | 1.00571i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 12.9004 | + | 2.27470i | 0.484486 | + | 0.0854280i | 0.410556 | − | 0.911835i | \(-0.365335\pi\) |
0.0739303 | + | 0.997263i | \(0.476446\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −3.33263 | + | 1.92410i | −0.124983 | + | 0.0721592i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −10.2361 | − | 4.77318i | −0.383346 | − | 0.178757i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −18.5263 | + | 64.7488i | −0.692843 | + | 2.42147i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −0.833776 | + | 9.53011i | −0.0311379 | + | 0.355908i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −5.05000 | + | 0.890451i | −0.188333 | + | 0.0332082i | −0.267019 | − | 0.963691i | \(-0.586039\pi\) |
0.0786859 | + | 0.996899i | \(0.474928\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | − | 41.6613i | − | 1.55155i | ||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −30.5779 | + | 30.5779i | −1.13720 | + | 1.13720i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 8.74676 | − | 6.84988i | 0.324847 | − | 0.254398i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 15.1903 | + | 1.32898i | 0.563377 | + | 0.0492891i | 0.365288 | − | 0.930895i | \(-0.380971\pi\) |
0.198090 | + | 0.980184i | \(0.436526\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 25.4037 | + | 14.6669i | 0.940879 | + | 0.543217i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −13.5309 | + | 4.92484i | −0.500457 | + | 0.182152i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 19.0999 | + | 5.11781i | 0.705472 | + | 0.189031i | 0.593680 | − | 0.804701i | \(-0.297674\pi\) |
0.111791 | + | 0.993732i | \(0.464341\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −40.3591 | + | 2.84543i | −1.48867 | + | 0.104955i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −12.6007 | + | 1.10242i | −0.464154 | + | 0.0406082i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −4.05271 | + | 11.1347i | −0.149081 | + | 0.409597i | −0.991645 | − | 0.129000i | \(-0.958823\pi\) |
0.842563 | + | 0.538597i | \(0.181046\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 22.1082 | − | 26.8357i | 0.812166 | − | 0.985834i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −1.42642 | − | 3.05896i | −0.0523301 | − | 0.112222i | 0.878404 | − | 0.477919i | \(-0.158609\pi\) |
−0.930734 | + | 0.365696i | \(0.880831\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −7.97519 | − | 23.1186i | −0.292188 | − | 0.846999i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 2.43397 | − | 1.70428i | 0.0890541 | − | 0.0623564i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 32.8242 | + | 56.8531i | 1.19937 | + | 2.07737i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 8.50855 | + | 23.3771i | 0.310481 | + | 0.853041i | 0.992559 | + | 0.121761i | \(0.0388543\pi\) |
−0.682078 | + | 0.731280i | \(0.738924\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 29.2417 | − | 7.83530i | 1.06563 | − | 0.285534i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 48.7616 | − | 7.75173i | 1.77462 | − | 0.282114i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −11.8979 | + | 16.9920i | −0.432438 | + | 0.617585i | −0.974940 | − | 0.222469i | \(-0.928588\pi\) |
0.542502 | + | 0.840055i | \(0.317477\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 38.3101 | 1.39057 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −36.1409 | −1.31011 | −0.655053 | − | 0.755583i | \(-0.727354\pi\) | ||||
−0.655053 | + | 0.755583i | \(0.727354\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 8.37915 | − | 11.9667i | 0.303346 | − | 0.433222i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −2.44209 | − | 1.77214i | −0.0882939 | − | 0.0640720i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 51.8573 | − | 13.8951i | 1.87246 | − | 0.501724i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 5.36323 | + | 14.7354i | 0.193403 | + | 0.531370i | 0.998052 | − | 0.0623797i | \(-0.0198690\pi\) |
−0.804649 | + | 0.593750i | \(0.797647\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 11.0069 | + | 19.0646i | 0.396405 | + | 0.686593i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −1.81583 | + | 1.27145i | −0.0653107 | + | 0.0457310i | −0.605776 | − | 0.795635i | \(-0.707137\pi\) |
0.540465 | + | 0.841366i | \(0.318248\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −14.4771 | − | 3.05986i | −0.520033 | − | 0.109914i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 12.1766 | + | 26.1128i | 0.436833 | + | 0.936791i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 45.5774 | + | 25.7686i | 1.63298 | + | 0.923254i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −5.91532 | + | 16.2522i | −0.211667 | + | 0.581549i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −12.0597 | + | 1.05509i | −0.430978 | + | 0.0377057i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 2.92854 | + | 41.5380i | 0.104524 | + | 1.48255i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −13.0914 | − | 3.50784i | −0.466660 | − | 0.125041i | 0.0178245 | − | 0.999841i | \(-0.494326\pi\) |
−0.484484 | + | 0.874800i | \(0.660993\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 14.1586 | − | 5.15330i | 0.504059 | − | 0.183462i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −20.1322 | − | 11.6233i | −0.715820 | − | 0.413279i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 15.4438 | + | 1.35116i | 0.548426 | + | 0.0479811i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 4.63320 | − | 12.0906i | 0.164323 | − | 0.428810i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −7.81316 | + | 7.81316i | −0.276756 | + | 0.276756i | −0.831813 | − | 0.555056i | \(-0.812697\pi\) |
0.555056 | + | 0.831813i | \(0.312697\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 24.7690i | 0.876265i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −0.290042 | + | 0.0511422i | −0.0102481 | + | 0.00180702i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 0.0604139 | − | 0.690535i | 0.00213196 | − | 0.0243684i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −17.6184 | − | 31.7416i | −0.620969 | − | 1.11874i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0.516179 | + | 0.240698i | 0.0181703 | + | 0.00847297i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −25.6739 | + | 14.8228i | −0.902646 | + | 0.521143i | −0.878058 | − | 0.478555i | \(-0.841161\pi\) |
−0.0245880 | + | 0.999698i | \(0.507827\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 41.5313 | + | 7.32310i | 1.45836 | + | 0.257149i | 0.845896 | − | 0.533348i | \(-0.179066\pi\) |
0.612467 | + | 0.790497i | \(0.290177\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −2.27039 | − | 25.9507i | −0.0796260 | − | 0.910129i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 1.64073 | − | 15.6970i | 0.0574723 | − | 0.549843i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 11.1285 | − | 11.3312i | 0.389338 | − | 0.396429i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −6.67760 | − | 2.43045i | −0.233334 | − | 0.0849267i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −32.8851 | − | 27.5939i | −1.14770 | − | 0.963033i | −0.148035 | − | 0.988982i | \(-0.547295\pi\) |
−0.999663 | + | 0.0259486i | \(0.991739\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −2.16592 | − | 3.09325i | −0.0754992 | − | 0.107824i | 0.779626 | − | 0.626245i | \(-0.215409\pi\) |
−0.855126 | + | 0.518421i | \(0.826520\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 48.8915 | − | 11.3465i | 1.70218 | − | 0.395036i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −16.2958 | + | 34.9465i | −0.566661 | + | 1.21521i | 0.389136 | + | 0.921180i | \(0.372774\pi\) |
−0.955797 | + | 0.294028i | \(0.905004\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −21.7208 | + | 37.6215i | −0.754393 | + | 1.30665i | 0.191282 | + | 0.981535i | \(0.438735\pi\) |
−0.945675 | + | 0.325112i | \(0.894598\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 4.47813 | + | 5.33683i | 0.155345 | + | 0.185133i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −35.9240 | − | 25.1543i | −1.24469 | − | 0.871544i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.253831 | + | 1.01558i | 0.00878420 | + | 0.0351457i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 11.4010 | + | 11.4010i | 0.394077 | + | 0.394077i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 8.08984 | + | 45.8798i | 0.279292 | + | 1.58395i | 0.724989 | + | 0.688761i | \(0.241845\pi\) |
−0.445696 | + | 0.895184i | \(0.647044\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −18.4333 | + | 15.4674i | −0.635630 | + | 0.533357i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 4.06202 | + | 15.1597i | 0.139904 | + | 0.522127i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −24.0011 | − | 4.65107i | −0.825662 | − | 0.160002i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 29.6204 | − | 110.545i | 1.01777 | − | 3.79836i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −6.77417 | + | 38.4182i | −0.232489 | + | 1.31851i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −10.1900 | + | 12.1440i | −0.349310 | + | 0.416291i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 42.2528 | − | 19.7028i | 1.44671 | − | 0.674612i | 0.468735 | − | 0.883339i | \(-0.344710\pi\) |
0.977974 | + | 0.208727i | \(0.0669320\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 3.27285 | + | 0.603640i | 0.111929 | + | 0.0206441i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 0.377599 | − | 0.176077i | 0.0128985 | − | 0.00601469i | −0.416158 | − | 0.909292i | \(-0.636624\pi\) |
0.429057 | + | 0.903277i | \(0.358846\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 19.1057 | − | 22.7693i | 0.651879 | − | 0.776879i | −0.334317 | − | 0.942461i | \(-0.608506\pi\) |
0.986196 | + | 0.165582i | \(0.0529501\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −14.4677 | + | 82.0506i | −0.493059 | + | 2.79628i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 0.879081 | − | 3.28077i | 0.0299243 | − | 0.111679i | −0.949348 | − | 0.314226i | \(-0.898255\pi\) |
0.979273 | + | 0.202547i | \(0.0649218\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −27.4833 | + | 18.5606i | −0.934460 | + | 0.631081i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −0.583306 | − | 2.17693i | −0.0198101 | − | 0.0739323i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 53.1514 | − | 44.5993i | 1.80304 | − | 1.51293i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.74538 | − | 9.89855i | −0.0591400 | − | 0.335400i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 3.19597 | + | 3.19597i | 0.108167 | + | 0.108167i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −31.8859 | − | 35.2907i | −1.07794 | − | 1.19304i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 39.8886 | + | 27.9303i | 1.34694 | + | 0.943138i | 0.999986 | + | 0.00525616i | \(0.00167310\pi\) |
0.346955 | + | 0.937882i | \(0.387216\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 14.7772 | + | 17.6108i | 0.498423 | + | 0.593998i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −9.67864 | + | 16.7639i | −0.326082 | + | 0.564790i | −0.981731 | − | 0.190276i | \(-0.939062\pi\) |
0.655649 | + | 0.755066i | \(0.272395\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −6.14600 | + | 13.1801i | −0.206829 | + | 0.443547i | −0.982170 | − | 0.187997i | \(-0.939801\pi\) |
0.775340 | + | 0.631544i | \(0.217578\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −27.8100 | − | 28.7651i | −0.934823 | − | 0.966928i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −21.8051 | − | 31.1408i | −0.732142 | − | 1.04561i | −0.996695 | − | 0.0812359i | \(-0.974113\pi\) |
0.264553 | − | 0.964371i | \(-0.414776\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 37.9635 | + | 31.8552i | 1.27325 | + | 1.06839i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −45.4662 | − | 16.5484i | −1.52318 | − | 0.554391i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −11.7688 | − | 24.6549i | −0.393827 | − | 0.825044i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.89558 | − | 4.77974i | 0.197067 | − | 0.159769i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 2.65324 | + | 30.3267i | 0.0885893 | + | 1.01258i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −6.47571 | − | 1.14184i | −0.215977 | − | 0.0380826i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 12.1544 | − | 7.01735i | 0.404922 | − | 0.233782i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 22.9052 | + | 10.6809i | 0.762236 | + | 0.355437i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −3.23002 | + | 1.79285i | −0.107369 | + | 0.0595963i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −3.25993 | + | 37.2611i | −0.108244 | + | 1.23724i | 0.726721 | + | 0.686933i | \(0.241043\pi\) |
−0.834965 | + | 0.550303i | \(0.814512\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 2.12184 | − | 0.374138i | 0.0703771 | − | 0.0124094i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 50.7989i | − | 1.68304i | −0.540225 | − | 0.841521i | \(-0.681661\pi\) | ||
0.540225 | − | 0.841521i | \(-0.318339\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −37.8825 | + | 37.8825i | −1.25373 | + | 1.25373i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −4.70531 | − | 10.5520i | −0.155553 | − | 0.348839i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −20.9460 | − | 1.83254i | −0.691699 | − | 0.0605158i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −42.1994 | − | 24.3638i | −1.39203 | − | 0.803688i | −0.398489 | − | 0.917173i | \(-0.630465\pi\) |
−0.993540 | + | 0.113485i | \(0.963798\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 29.1210 | − | 10.5992i | 0.959568 | − | 0.349254i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −13.2751 | − | 3.55706i | −0.436956 | − | 0.117082i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −9.40781 | + | 18.5163i | −0.309327 | + | 0.608812i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −3.33120 | + | 0.291442i | −0.109411 | + | 0.00957221i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 11.0427 | − | 30.3395i | 0.362298 | − | 0.995405i | −0.615917 | − | 0.787811i | \(-0.711214\pi\) |
0.978215 | − | 0.207594i | \(-0.0665634\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 47.7103 | + | 7.96937i | 1.56364 | + | 0.261185i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −2.58668 | − | 5.54716i | −0.0846842 | − | 0.181606i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 48.9113 | + | 23.8209i | 1.59957 | + | 0.779028i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 18.8798 | − | 13.2198i | 0.616777 | − | 0.431872i | −0.222988 | − | 0.974821i | \(-0.571581\pi\) |
0.839766 | + | 0.542949i | \(0.182692\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 1.42425 | + | 2.46687i | 0.0464785 | + | 0.0805031i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −11.8218 | − | 32.4802i | −0.385380 | − | 1.05882i | −0.969057 | − | 0.246837i | \(-0.920609\pi\) |
0.583677 | − | 0.811986i | \(-0.301613\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −44.2797 | + | 11.8647i | −1.44194 | + | 0.386368i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 8.13670 | + | 51.1832i | 0.264687 | + | 1.66499i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −7.83974 | + | 11.1963i | −0.254757 | + | 0.363831i | −0.926076 | − | 0.377338i | \(-0.876839\pi\) |
0.671318 | + | 0.741169i | \(0.265728\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.550820 | 0.0178804 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 9.11091 | 0.295441 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −2.19555 | + | 3.13557i | −0.0711209 | + | 0.101571i | −0.853137 | − | 0.521687i | \(-0.825303\pi\) |
0.782016 | + | 0.623259i | \(0.214192\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 3.65444 | + | 22.9880i | 0.118255 | + | 0.743873i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 21.5443 | − | 5.77279i | 0.696430 | − | 0.186608i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −15.3998 | − | 42.3107i | −0.497287 | − | 1.36628i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −11.1210 | − | 19.2622i | −0.358742 | − | 0.621360i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 4.31630 | − | 3.02231i | 0.139091 | − | 0.0973925i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −18.1704 | − | 8.84943i | −0.584927 | − | 0.284873i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 2.57869 | + | 5.53002i | 0.0829251 | + | 0.177833i | 0.943398 | − | 0.331663i | \(-0.107610\pi\) |
−0.860473 | + | 0.509496i | \(0.829832\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −18.2475 | − | 21.3523i | −0.586196 | − | 0.685933i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 1.34949 | − | 3.70770i | 0.0433073 | − | 0.118986i | −0.916154 | − | 0.400827i | \(-0.868723\pi\) |
0.959461 | + | 0.281841i | \(0.0909451\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 51.9771 | − | 4.54741i | 1.66631 | − | 0.145783i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 12.3682 | + | 37.9173i | 0.396098 | + | 1.21433i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 15.4653 | + | 4.14390i | 0.494777 | + | 0.132575i | 0.497575 | − | 0.867421i | \(-0.334224\pi\) |
−0.00279779 | + | 0.999996i | \(0.500891\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 4.98998 | − | 1.81621i | 0.159481 | − | 0.0580462i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −1.01546 | − | 0.586276i | −0.0324212 | − | 0.0187184i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −2.04783 | − | 0.179162i | −0.0653157 | − | 0.00571438i | 0.0544510 | − | 0.998516i | \(-0.482659\pi\) |
−0.119767 | + | 0.992802i | \(0.538215\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1.33398 | − | 2.99156i | −0.0425042 | − | 0.0953189i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 30.7406 | − | 30.7406i | 0.978483 | − | 0.978483i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 13.9055i | 0.442171i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 3.99342 | − | 0.704147i | 0.126855 | − | 0.0223680i | −0.109860 | − | 0.993947i | \(-0.535040\pi\) |
0.236715 | + | 0.971579i | \(0.423929\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0.465595 | − | 5.32178i | 0.0147752 | − | 0.168881i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −30.0242 | + | 16.6652i | −0.951832 | + | 0.528322i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −11.4472 | − | 5.33792i | −0.362536 | − | 0.169054i | 0.232811 | − | 0.972522i | \(-0.425208\pi\) |
−0.595347 | + | 0.803469i | \(0.702985\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 19.5992 | − | 11.3156i | 0.620091 | − | 0.358010i |
(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 | 380.2.bh.a.357.8 | yes | 120 | |
5.3 | odd | 4 | inner | 380.2.bh.a.53.8 | yes | 120 | |
19.14 | odd | 18 | inner | 380.2.bh.a.337.8 | yes | 120 | |
95.33 | even | 36 | inner | 380.2.bh.a.33.8 | ✓ | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
380.2.bh.a.33.8 | ✓ | 120 | 95.33 | even | 36 | inner | |
380.2.bh.a.53.8 | yes | 120 | 5.3 | odd | 4 | inner | |
380.2.bh.a.337.8 | yes | 120 | 19.14 | odd | 18 | inner | |
380.2.bh.a.357.8 | yes | 120 | 1.1 | even | 1 | trivial |