Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(45,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.45");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.ba (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 89.1 | ||
Character | \(\chi\) | \(=\) | 91.89 |
Dual form | 91.2.ba.a.45.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.56744 | − | 1.56744i | −1.10835 | − | 1.10835i | −0.993368 | − | 0.114979i | \(-0.963320\pi\) |
−0.114979 | − | 0.993368i | \(-0.536680\pi\) | |||||||
\(3\) | 0.959879 | + | 0.554186i | 0.554186 | + | 0.319960i | 0.750809 | − | 0.660520i | \(-0.229664\pi\) |
−0.196622 | + | 0.980479i | \(0.562997\pi\) | |||||||
\(4\) | 2.91373i | 1.45686i | ||||||||
\(5\) | −0.784926 | − | 2.92938i | −0.351029 | − | 1.31006i | −0.885408 | − | 0.464815i | \(-0.846121\pi\) |
0.534379 | − | 0.845245i | \(-0.320546\pi\) | |||||||
\(6\) | −0.635898 | − | 2.37321i | −0.259604 | − | 0.968857i | ||||
\(7\) | 2.25305 | − | 1.38700i | 0.851574 | − | 0.524235i | ||||
\(8\) | 1.43221 | − | 1.43221i | 0.506364 | − | 0.506364i | ||||
\(9\) | −0.885755 | − | 1.53417i | −0.295252 | − | 0.511391i | ||||
\(10\) | −3.36131 | + | 5.82195i | −1.06294 | + | 1.84106i | ||||
\(11\) | −0.188977 | − | 0.705270i | −0.0569786 | − | 0.212647i | 0.931567 | − | 0.363570i | \(-0.118442\pi\) |
−0.988546 | + | 0.150923i | \(0.951775\pi\) | |||||||
\(12\) | −1.61475 | + | 2.79683i | −0.466138 | + | 0.807375i | ||||
\(13\) | −2.65012 | + | 2.44476i | −0.735011 | + | 0.678055i | ||||
\(14\) | −5.70555 | − | 1.35749i | −1.52487 | − | 0.362804i | ||||
\(15\) | 0.869990 | − | 3.24685i | 0.224631 | − | 0.838333i | ||||
\(16\) | 1.33764 | 0.334410 | ||||||||
\(17\) | 3.24611 | 0.787296 | 0.393648 | − | 0.919261i | \(-0.371213\pi\) | ||||
0.393648 | + | 0.919261i | \(0.371213\pi\) | |||||||
\(18\) | −1.01635 | + | 3.79309i | −0.239557 | + | 0.894039i | ||||
\(19\) | 3.85949 | + | 1.03415i | 0.885428 | + | 0.237250i | 0.672747 | − | 0.739872i | \(-0.265114\pi\) |
0.212680 | + | 0.977122i | \(0.431781\pi\) | |||||||
\(20\) | 8.53543 | − | 2.28706i | 1.90858 | − | 0.511402i | ||||
\(21\) | 2.93131 | − | 0.0827377i | 0.639665 | − | 0.0180548i | ||||
\(22\) | −0.809258 | + | 1.40168i | −0.172534 | + | 0.298839i | ||||
\(23\) | 5.96750i | 1.24431i | 0.782894 | + | 0.622155i | \(0.213743\pi\) | ||||
−0.782894 | + | 0.622155i | \(0.786257\pi\) | |||||||
\(24\) | 2.16847 | − | 0.581039i | 0.442636 | − | 0.118604i | ||||
\(25\) | −3.63505 | + | 2.09870i | −0.727009 | + | 0.419739i | ||||
\(26\) | 7.98592 | + | 0.321882i | 1.56617 | + | 0.0631262i | ||||
\(27\) | − | 5.28861i | − | 1.01779i | ||||||
\(28\) | 4.04133 | + | 6.56478i | 0.763740 | + | 1.24063i | ||||
\(29\) | 2.78094 | + | 4.81672i | 0.516407 | + | 0.894443i | 0.999819 | + | 0.0190499i | \(0.00606412\pi\) |
−0.483412 | + | 0.875393i | \(0.660603\pi\) | |||||||
\(30\) | −6.45289 | + | 3.72558i | −1.17813 | + | 0.680195i | ||||
\(31\) | 3.99535 | + | 1.07055i | 0.717585 | + | 0.192276i | 0.599094 | − | 0.800679i | \(-0.295528\pi\) |
0.118491 | + | 0.992955i | \(0.462194\pi\) | |||||||
\(32\) | −4.96110 | − | 4.96110i | −0.877007 | − | 0.877007i | ||||
\(33\) | 0.209456 | − | 0.781702i | 0.0364617 | − | 0.136077i | ||||
\(34\) | −5.08807 | − | 5.08807i | −0.872597 | − | 0.872597i | ||||
\(35\) | −5.83152 | − | 5.51136i | −0.985707 | − | 0.931590i | ||||
\(36\) | 4.47016 | − | 2.58085i | 0.745027 | − | 0.430142i | ||||
\(37\) | −6.97285 | + | 6.97285i | −1.14633 | + | 1.14633i | −0.159061 | + | 0.987269i | \(0.550847\pi\) |
−0.987269 | + | 0.159061i | \(0.949153\pi\) | |||||||
\(38\) | −4.42855 | − | 7.67048i | −0.718406 | − | 1.24432i | ||||
\(39\) | −3.89865 | + | 0.878018i | −0.624283 | + | 0.140595i | ||||
\(40\) | −5.31969 | − | 3.07132i | −0.841116 | − | 0.485619i | ||||
\(41\) | 2.46389 | + | 0.660198i | 0.384795 | + | 0.103106i | 0.446031 | − | 0.895018i | \(-0.352837\pi\) |
−0.0612351 | + | 0.998123i | \(0.519504\pi\) | |||||||
\(42\) | −4.72434 | − | 4.46497i | −0.728981 | − | 0.688959i | ||||
\(43\) | −5.73009 | − | 3.30827i | −0.873831 | − | 0.504507i | −0.00521150 | − | 0.999986i | \(-0.501659\pi\) |
−0.868619 | + | 0.495480i | \(0.834992\pi\) | |||||||
\(44\) | 2.05497 | − | 0.550626i | 0.309798 | − | 0.0830101i | ||||
\(45\) | −3.79893 | + | 3.79893i | −0.566310 | + | 0.566310i | ||||
\(46\) | 9.35370 | − | 9.35370i | 1.37913 | − | 1.37913i | ||||
\(47\) | −1.69510 | + | 0.454201i | −0.247256 | + | 0.0662521i | −0.380318 | − | 0.924856i | \(-0.624186\pi\) |
0.133062 | + | 0.991108i | \(0.457519\pi\) | |||||||
\(48\) | 1.28397 | + | 0.741302i | 0.185326 | + | 0.106998i | ||||
\(49\) | 3.15248 | − | 6.24995i | 0.450355 | − | 0.892850i | ||||
\(50\) | 8.98729 | + | 2.40814i | 1.27099 | + | 0.340562i | ||||
\(51\) | 3.11587 | + | 1.79895i | 0.436309 | + | 0.251903i | ||||
\(52\) | −7.12338 | − | 7.72173i | −0.987835 | − | 1.07081i | ||||
\(53\) | 3.37073 | + | 5.83828i | 0.463005 | + | 0.801949i | 0.999109 | − | 0.0422032i | \(-0.0134377\pi\) |
−0.536104 | + | 0.844152i | \(0.680104\pi\) | |||||||
\(54\) | −8.28958 | + | 8.28958i | −1.12807 | + | 1.12807i | ||||
\(55\) | −1.91767 | + | 1.10717i | −0.258579 | + | 0.149291i | ||||
\(56\) | 1.24038 | − | 5.21333i | 0.165752 | − | 0.696661i | ||||
\(57\) | 3.13153 | + | 3.13153i | 0.414782 | + | 0.414782i | ||||
\(58\) | 3.19097 | − | 11.9089i | 0.418995 | − | 1.56371i | ||||
\(59\) | −2.33153 | − | 2.33153i | −0.303540 | − | 0.303540i | 0.538857 | − | 0.842397i | \(-0.318856\pi\) |
−0.842397 | + | 0.538857i | \(0.818856\pi\) | |||||||
\(60\) | 9.46044 | + | 2.53492i | 1.22134 | + | 0.327256i | ||||
\(61\) | 6.30371 | − | 3.63945i | 0.807108 | − | 0.465984i | −0.0388426 | − | 0.999245i | \(-0.512367\pi\) |
0.845951 | + | 0.533261i | \(0.179034\pi\) | |||||||
\(62\) | −4.58444 | − | 7.94048i | −0.582224 | − | 1.00844i | ||||
\(63\) | −4.12354 | − | 2.22803i | −0.519517 | − | 0.280706i | ||||
\(64\) | 12.8772i | 1.60964i | ||||||||
\(65\) | 9.24179 | + | 5.84425i | 1.14630 | + | 0.724891i | ||||
\(66\) | −1.55358 | + | 0.896960i | −0.191233 | + | 0.110408i | ||||
\(67\) | −6.27534 | + | 1.68147i | −0.766655 | + | 0.205424i | −0.620893 | − | 0.783895i | \(-0.713230\pi\) |
−0.145762 | + | 0.989320i | \(0.546563\pi\) | |||||||
\(68\) | 9.45827i | 1.14698i | ||||||||
\(69\) | −3.30711 | + | 5.72808i | −0.398129 | + | 0.689580i | ||||
\(70\) | 0.501828 | + | 17.7793i | 0.0599800 | + | 2.12503i | ||||
\(71\) | −8.06938 | + | 2.16218i | −0.957659 | + | 0.256604i | −0.703609 | − | 0.710587i | \(-0.748429\pi\) |
−0.254050 | + | 0.967191i | \(0.581763\pi\) | |||||||
\(72\) | −3.46586 | − | 0.928673i | −0.408455 | − | 0.109445i | ||||
\(73\) | 1.62921 | − | 6.08031i | 0.190685 | − | 0.711646i | −0.802657 | − | 0.596441i | \(-0.796581\pi\) |
0.993342 | − | 0.115205i | \(-0.0367525\pi\) | |||||||
\(74\) | 21.8590 | 2.54106 | ||||||||
\(75\) | −4.65227 | −0.537198 | ||||||||
\(76\) | −3.01323 | + | 11.2455i | −0.345641 | + | 1.28995i | ||||
\(77\) | −1.40398 | − | 1.32690i | −0.159998 | − | 0.151214i | ||||
\(78\) | 7.48713 | + | 4.73465i | 0.847751 | + | 0.536094i | ||||
\(79\) | 7.87501 | − | 13.6399i | 0.886008 | − | 1.53461i | 0.0414546 | − | 0.999140i | \(-0.486801\pi\) |
0.844554 | − | 0.535471i | \(-0.179866\pi\) | |||||||
\(80\) | −1.04995 | − | 3.91846i | −0.117388 | − | 0.438097i | ||||
\(81\) | 0.273613 | − | 0.473911i | 0.0304014 | − | 0.0526568i | ||||
\(82\) | −2.82718 | − | 4.89682i | −0.312210 | − | 0.540763i | ||||
\(83\) | 10.4223 | − | 10.4223i | 1.14399 | − | 1.14399i | 0.156277 | − | 0.987713i | \(-0.450051\pi\) |
0.987713 | − | 0.156277i | \(-0.0499494\pi\) | |||||||
\(84\) | 0.241075 | + | 8.54105i | 0.0263035 | + | 0.931905i | ||||
\(85\) | −2.54795 | − | 9.50909i | −0.276364 | − | 1.03141i | ||||
\(86\) | 3.79606 | + | 14.1671i | 0.409339 | + | 1.52768i | ||||
\(87\) | 6.16463i | 0.660918i | ||||||||
\(88\) | −1.28075 | − | 0.739443i | −0.136529 | − | 0.0788249i | ||||
\(89\) | −6.62546 | − | 6.62546i | −0.702297 | − | 0.702297i | 0.262606 | − | 0.964903i | \(-0.415418\pi\) |
−0.964903 | + | 0.262606i | \(0.915418\pi\) | |||||||
\(90\) | 11.9092 | 1.25534 | ||||||||
\(91\) | −2.57998 | + | 9.18388i | −0.270455 | + | 0.962733i | ||||
\(92\) | −17.3877 | −1.81279 | ||||||||
\(93\) | 3.24176 | + | 3.24176i | 0.336155 | + | 0.336155i | ||||
\(94\) | 3.36890 | + | 1.94504i | 0.347476 | + | 0.200615i | ||||
\(95\) | − | 12.1177i | − | 1.24324i | ||||||
\(96\) | −2.01268 | − | 7.51143i | −0.205418 | − | 0.766632i | ||||
\(97\) | 2.37570 | + | 8.86623i | 0.241216 | + | 0.900230i | 0.975248 | + | 0.221115i | \(0.0709695\pi\) |
−0.734032 | + | 0.679115i | \(0.762364\pi\) | |||||||
\(98\) | −14.7377 | + | 4.85508i | −1.48874 | + | 0.490438i | ||||
\(99\) | −0.914619 | + | 0.914619i | −0.0919227 | + | 0.0919227i | ||||
\(100\) | −6.11503 | − | 10.5915i | −0.611503 | − | 1.05915i | ||||
\(101\) | −6.10920 | + | 10.5814i | −0.607888 | + | 1.05289i | 0.383700 | + | 0.923458i | \(0.374650\pi\) |
−0.991588 | + | 0.129435i | \(0.958684\pi\) | |||||||
\(102\) | −2.06419 | − | 7.70367i | −0.204386 | − | 0.762777i | ||||
\(103\) | 0.347680 | − | 0.602200i | 0.0342580 | − | 0.0593366i | −0.848388 | − | 0.529375i | \(-0.822427\pi\) |
0.882646 | + | 0.470038i | \(0.155760\pi\) | |||||||
\(104\) | −0.294113 | + | 7.29697i | −0.0288401 | + | 0.715526i | ||||
\(105\) | −2.54323 | − | 8.52199i | −0.248194 | − | 0.831661i | ||||
\(106\) | 3.86773 | − | 14.4346i | 0.375667 | − | 1.40201i | ||||
\(107\) | −13.7976 | −1.33386 | −0.666930 | − | 0.745120i | \(-0.732392\pi\) | ||||
−0.666930 | + | 0.745120i | \(0.732392\pi\) | |||||||
\(108\) | 15.4096 | 1.48279 | ||||||||
\(109\) | −3.39308 | + | 12.6631i | −0.324998 | + | 1.21291i | 0.589316 | + | 0.807903i | \(0.299397\pi\) |
−0.914314 | + | 0.405006i | \(0.867269\pi\) | |||||||
\(110\) | 4.74126 | + | 1.27042i | 0.452061 | + | 0.121129i | ||||
\(111\) | −10.5574 | + | 2.82883i | −1.00206 | + | 0.268501i | ||||
\(112\) | 3.01377 | − | 1.85530i | 0.284775 | − | 0.175310i | ||||
\(113\) | −5.92811 | + | 10.2678i | −0.557670 | + | 0.965912i | 0.440021 | + | 0.897988i | \(0.354971\pi\) |
−0.997690 | + | 0.0679248i | \(0.978362\pi\) | |||||||
\(114\) | − | 9.81697i | − | 0.919444i | ||||||
\(115\) | 17.4811 | − | 4.68405i | 1.63012 | − | 0.436790i | ||||
\(116\) | −14.0346 | + | 8.10290i | −1.30308 | + | 0.752335i | ||||
\(117\) | 6.09804 | + | 1.90028i | 0.563764 | + | 0.175681i | ||||
\(118\) | 7.30907i | 0.672855i | ||||||||
\(119\) | 7.31364 | − | 4.50234i | 0.670441 | − | 0.412728i | ||||
\(120\) | −3.40417 | − | 5.89620i | −0.310757 | − | 0.538247i | ||||
\(121\) | 9.06459 | − | 5.23344i | 0.824053 | − | 0.475767i | ||||
\(122\) | −15.5853 | − | 4.17607i | −1.41103 | − | 0.378084i | ||||
\(123\) | 1.99917 | + | 1.99917i | 0.180259 | + | 0.180259i | ||||
\(124\) | −3.11929 | + | 11.6414i | −0.280121 | + | 1.04542i | ||||
\(125\) | −1.72116 | − | 1.72116i | −0.153945 | − | 0.153945i | ||||
\(126\) | 2.97110 | + | 9.95570i | 0.264686 | + | 0.886925i | ||||
\(127\) | −3.91434 | + | 2.25995i | −0.347342 | + | 0.200538i | −0.663514 | − | 0.748164i | \(-0.730936\pi\) |
0.316172 | + | 0.948702i | \(0.397602\pi\) | |||||||
\(128\) | 10.2620 | − | 10.2620i | 0.907038 | − | 0.907038i | ||||
\(129\) | −3.66680 | − | 6.35108i | −0.322843 | − | 0.559181i | ||||
\(130\) | −5.32544 | − | 23.6465i | −0.467072 | − | 2.07393i | ||||
\(131\) | 10.9818 | + | 6.34037i | 0.959488 | + | 0.553960i | 0.896015 | − | 0.444023i | \(-0.146449\pi\) |
0.0634723 | + | 0.997984i | \(0.479783\pi\) | |||||||
\(132\) | 2.27767 | + | 0.610299i | 0.198246 | + | 0.0531197i | ||||
\(133\) | 10.1300 | − | 3.02311i | 0.878381 | − | 0.262137i | ||||
\(134\) | 12.4718 | + | 7.20061i | 1.07740 | + | 0.622038i | ||||
\(135\) | −15.4924 | + | 4.15117i | −1.33337 | + | 0.357276i | ||||
\(136\) | 4.64912 | − | 4.64912i | 0.398659 | − | 0.398659i | ||||
\(137\) | −7.16928 | + | 7.16928i | −0.612513 | + | 0.612513i | −0.943600 | − | 0.331087i | \(-0.892585\pi\) |
0.331087 | + | 0.943600i | \(0.392585\pi\) | |||||||
\(138\) | 14.1621 | − | 3.79473i | 1.20556 | − | 0.323029i | ||||
\(139\) | 0.0630104 | + | 0.0363791i | 0.00534447 | + | 0.00308563i | 0.502670 | − | 0.864478i | \(-0.332351\pi\) |
−0.497325 | + | 0.867564i | \(0.665684\pi\) | |||||||
\(140\) | 16.0586 | − | 16.9915i | 1.35720 | − | 1.43604i | ||||
\(141\) | −1.87881 | − | 0.503424i | −0.158224 | − | 0.0423960i | ||||
\(142\) | 16.0374 | + | 9.25917i | 1.34582 | + | 0.777012i | ||||
\(143\) | 2.22503 | + | 1.40705i | 0.186066 | + | 0.117663i | ||||
\(144\) | −1.18482 | − | 2.05217i | −0.0987351 | − | 0.171014i | ||||
\(145\) | 11.9272 | − | 11.9272i | 0.990500 | − | 0.990500i | ||||
\(146\) | −12.0842 | + | 6.97682i | −1.00010 | + | 0.577406i | ||||
\(147\) | 6.48964 | − | 4.25213i | 0.535256 | − | 0.350710i | ||||
\(148\) | −20.3170 | − | 20.3170i | −1.67005 | − | 1.67005i | ||||
\(149\) | −0.322028 | + | 1.20183i | −0.0263816 | + | 0.0984574i | −0.977861 | − | 0.209254i | \(-0.932896\pi\) |
0.951480 | + | 0.307711i | \(0.0995631\pi\) | |||||||
\(150\) | 7.29216 | + | 7.29216i | 0.595402 | + | 0.595402i | ||||
\(151\) | −0.716844 | − | 0.192078i | −0.0583359 | − | 0.0156311i | 0.229533 | − | 0.973301i | \(-0.426280\pi\) |
−0.287869 | + | 0.957670i | \(0.592947\pi\) | |||||||
\(152\) | 7.00874 | − | 4.04650i | 0.568484 | − | 0.328214i | ||||
\(153\) | −2.87525 | − | 4.98009i | −0.232450 | − | 0.402616i | ||||
\(154\) | 0.120819 | + | 4.28049i | 0.00973586 | + | 0.344932i | ||||
\(155\) | − | 12.5442i | − | 1.00757i | ||||||
\(156\) | −2.55831 | − | 11.3596i | −0.204828 | − | 0.909496i | ||||
\(157\) | −7.82322 | + | 4.51674i | −0.624361 | + | 0.360475i | −0.778565 | − | 0.627564i | \(-0.784052\pi\) |
0.154204 | + | 0.988039i | \(0.450719\pi\) | |||||||
\(158\) | −33.7233 | + | 9.03614i | −2.68289 | + | 0.718877i | ||||
\(159\) | 7.47205i | 0.592572i | ||||||||
\(160\) | −10.6389 | + | 18.4271i | −0.841076 | + | 1.45679i | ||||
\(161\) | 8.27690 | + | 13.4451i | 0.652311 | + | 1.05962i | ||||
\(162\) | −1.17170 | + | 0.313955i | −0.0920572 | + | 0.0246667i | ||||
\(163\) | −2.20381 | − | 0.590509i | −0.172616 | − | 0.0462523i | 0.171476 | − | 0.985188i | \(-0.445146\pi\) |
−0.344092 | + | 0.938936i | \(0.611813\pi\) | |||||||
\(164\) | −1.92364 | + | 7.17912i | −0.150211 | + | 0.560595i | ||||
\(165\) | −2.45431 | −0.191068 | ||||||||
\(166\) | −32.6725 | −2.53588 | ||||||||
\(167\) | −0.729973 | + | 2.72430i | −0.0564870 | + | 0.210812i | −0.988401 | − | 0.151867i | \(-0.951471\pi\) |
0.931914 | + | 0.362680i | \(0.118138\pi\) | |||||||
\(168\) | 4.07977 | − | 4.31677i | 0.314761 | − | 0.333046i | ||||
\(169\) | 1.04626 | − | 12.9578i | 0.0804816 | − | 0.996756i | ||||
\(170\) | −10.9112 | + | 18.8987i | −0.836847 | + | 1.44946i | ||||
\(171\) | −1.83200 | − | 6.83712i | −0.140097 | − | 0.522848i | ||||
\(172\) | 9.63940 | − | 16.6959i | 0.734998 | − | 1.27305i | ||||
\(173\) | −2.31972 | − | 4.01787i | −0.176365 | − | 0.305473i | 0.764268 | − | 0.644899i | \(-0.223101\pi\) |
−0.940633 | + | 0.339426i | \(0.889767\pi\) | |||||||
\(174\) | 9.66268 | − | 9.66268i | 0.732526 | − | 0.732526i | ||||
\(175\) | −5.27907 | + | 9.77027i | −0.399060 | + | 0.738563i | ||||
\(176\) | −0.252783 | − | 0.943397i | −0.0190542 | − | 0.0711113i | ||||
\(177\) | −0.945886 | − | 3.53010i | −0.0710972 | − | 0.265338i | ||||
\(178\) | 20.7700i | 1.55678i | ||||||||
\(179\) | 12.1991 | + | 7.04316i | 0.911804 | + | 0.526430i | 0.881011 | − | 0.473096i | \(-0.156863\pi\) |
0.0307928 | + | 0.999526i | \(0.490197\pi\) | |||||||
\(180\) | −11.0690 | − | 11.0690i | −0.825038 | − | 0.825038i | ||||
\(181\) | −19.3214 | −1.43615 | −0.718075 | − | 0.695966i | \(-0.754976\pi\) | ||||
−0.718075 | + | 0.695966i | \(0.754976\pi\) | |||||||
\(182\) | 18.4391 | − | 10.3512i | 1.36680 | − | 0.767283i | ||||
\(183\) | 8.06774 | 0.596384 | ||||||||
\(184\) | 8.54675 | + | 8.54675i | 0.630075 | + | 0.630075i | ||||
\(185\) | 25.8993 | + | 14.9530i | 1.90416 | + | 1.09936i | ||||
\(186\) | − | 10.1625i | − | 0.745153i | ||||||
\(187\) | −0.613438 | − | 2.28938i | −0.0448590 | − | 0.167416i | ||||
\(188\) | −1.32342 | − | 4.93907i | −0.0965203 | − | 0.360219i | ||||
\(189\) | −7.33528 | − | 11.9155i | −0.533563 | − | 0.866726i | ||||
\(190\) | −18.9937 | + | 18.9937i | −1.37795 | + | 1.37795i | ||||
\(191\) | −3.84651 | − | 6.66236i | −0.278324 | − | 0.482071i | 0.692644 | − | 0.721279i | \(-0.256446\pi\) |
−0.970968 | + | 0.239208i | \(0.923112\pi\) | |||||||
\(192\) | −7.13635 | + | 12.3605i | −0.515021 | + | 0.892043i | ||||
\(193\) | 2.07797 | + | 7.75507i | 0.149575 | + | 0.558222i | 0.999509 | + | 0.0313328i | \(0.00997516\pi\) |
−0.849934 | + | 0.526889i | \(0.823358\pi\) | |||||||
\(194\) | 10.1735 | − | 17.6210i | 0.730416 | − | 1.26512i | ||||
\(195\) | 5.63220 | + | 10.7315i | 0.403330 | + | 0.768495i | ||||
\(196\) | 18.2107 | + | 9.18549i | 1.30076 | + | 0.656106i | ||||
\(197\) | −1.52597 | + | 5.69500i | −0.108721 | + | 0.405752i | −0.998741 | − | 0.0501699i | \(-0.984024\pi\) |
0.890020 | + | 0.455922i | \(0.150690\pi\) | |||||||
\(198\) | 2.86722 | 0.203764 | ||||||||
\(199\) | 8.74035 | 0.619587 | 0.309794 | − | 0.950804i | \(-0.399740\pi\) | ||||
0.309794 | + | 0.950804i | \(0.399740\pi\) | |||||||
\(200\) | −2.20039 | + | 8.21195i | −0.155591 | + | 0.580673i | ||||
\(201\) | −6.95542 | − | 1.86370i | −0.490597 | − | 0.131455i | ||||
\(202\) | 26.1616 | − | 7.00997i | 1.84072 | − | 0.493220i | ||||
\(203\) | 12.9464 | + | 6.99518i | 0.908657 | + | 0.490965i | ||||
\(204\) | −5.24165 | + | 9.07880i | −0.366989 | + | 0.635643i | ||||
\(205\) | − | 7.73589i | − | 0.540298i | ||||||
\(206\) | −1.48888 | + | 0.398944i | −0.103735 | + | 0.0277958i | ||||
\(207\) | 9.15518 | − | 5.28575i | 0.636329 | − | 0.367385i | ||||
\(208\) | −3.54491 | + | 3.27021i | −0.245795 | + | 0.226749i | ||||
\(209\) | − | 2.91741i | − | 0.201802i | ||||||
\(210\) | −9.37134 | + | 17.3441i | −0.646684 | + | 1.19685i | ||||
\(211\) | −10.0859 | − | 17.4692i | −0.694340 | − | 1.20263i | −0.970403 | − | 0.241492i | \(-0.922363\pi\) |
0.276063 | − | 0.961140i | \(-0.410970\pi\) | |||||||
\(212\) | −17.0112 | + | 9.82140i | −1.16833 | + | 0.674536i | ||||
\(213\) | −8.94388 | − | 2.39651i | −0.612825 | − | 0.164206i | ||||
\(214\) | 21.6268 | + | 21.6268i | 1.47838 | + | 1.47838i | ||||
\(215\) | −5.19349 | + | 19.3824i | −0.354193 | + | 1.32187i | ||||
\(216\) | −7.57443 | − | 7.57443i | −0.515375 | − | 0.515375i | ||||
\(217\) | 10.4866 | − | 3.12952i | 0.711875 | − | 0.212446i | ||||
\(218\) | 25.1671 | − | 14.5303i | 1.70453 | − | 0.984113i | ||||
\(219\) | 4.93347 | − | 4.93347i | 0.333373 | − | 0.333373i | ||||
\(220\) | −3.22599 | − | 5.58758i | −0.217496 | − | 0.376715i | ||||
\(221\) | −8.60257 | + | 7.93596i | −0.578671 | + | 0.533831i | ||||
\(222\) | 20.9820 | + | 12.1140i | 1.40822 | + | 0.813037i | ||||
\(223\) | 12.7683 | + | 3.42126i | 0.855031 | + | 0.229105i | 0.659604 | − | 0.751613i | \(-0.270724\pi\) |
0.195427 | + | 0.980718i | \(0.437391\pi\) | |||||||
\(224\) | −18.0586 | − | 4.29659i | −1.20659 | − | 0.287078i | ||||
\(225\) | 6.43952 | + | 3.71786i | 0.429301 | + | 0.247857i | ||||
\(226\) | 25.3861 | − | 6.80218i | 1.68866 | − | 0.452474i | ||||
\(227\) | 5.38732 | − | 5.38732i | 0.357569 | − | 0.357569i | −0.505347 | − | 0.862916i | \(-0.668636\pi\) |
0.862916 | + | 0.505347i | \(0.168636\pi\) | |||||||
\(228\) | −9.12444 | + | 9.12444i | −0.604281 | + | 0.604281i | ||||
\(229\) | −28.2478 | + | 7.56897i | −1.86667 | + | 0.500171i | −0.866666 | + | 0.498889i | \(0.833742\pi\) |
−0.999999 | + | 0.00128230i | \(0.999592\pi\) | |||||||
\(230\) | −34.7425 | − | 20.0586i | −2.29085 | − | 1.32263i | ||||
\(231\) | −0.612301 | − | 2.05173i | −0.0402865 | − | 0.134994i | ||||
\(232\) | 10.8815 | + | 2.91568i | 0.714404 | + | 0.191424i | ||||
\(233\) | −0.786647 | − | 0.454171i | −0.0515350 | − | 0.0297537i | 0.474011 | − | 0.880519i | \(-0.342806\pi\) |
−0.525546 | + | 0.850765i | \(0.676139\pi\) | |||||||
\(234\) | −6.57974 | − | 12.5369i | −0.430131 | − | 0.819562i | ||||
\(235\) | 2.66106 | + | 4.60909i | 0.173588 | + | 0.300664i | ||||
\(236\) | 6.79346 | − | 6.79346i | 0.442216 | − | 0.442216i | ||||
\(237\) | 15.1181 | − | 8.72845i | 0.982027 | − | 0.566974i | ||||
\(238\) | −18.5208 | − | 4.40655i | −1.20053 | − | 0.285635i | ||||
\(239\) | 7.05491 | + | 7.05491i | 0.456344 | + | 0.456344i | 0.897453 | − | 0.441109i | \(-0.145415\pi\) |
−0.441109 | + | 0.897453i | \(0.645415\pi\) | |||||||
\(240\) | 1.16373 | − | 4.34311i | 0.0751187 | − | 0.280347i | ||||
\(241\) | 5.10472 | + | 5.10472i | 0.328824 | + | 0.328824i | 0.852139 | − | 0.523315i | \(-0.175305\pi\) |
−0.523315 | + | 0.852139i | \(0.675305\pi\) | |||||||
\(242\) | −22.4113 | − | 6.00509i | −1.44065 | − | 0.386021i | ||||
\(243\) | −13.2149 | + | 7.62965i | −0.847739 | + | 0.489442i | ||||
\(244\) | 10.6044 | + | 18.3673i | 0.678876 | + | 1.17585i | ||||
\(245\) | −20.7830 | − | 4.32909i | −1.32777 | − | 0.276575i | ||||
\(246\) | − | 6.26714i | − | 0.399578i | ||||||
\(247\) | −12.7564 | + | 6.69493i | −0.811667 | + | 0.425988i | ||||
\(248\) | 7.25545 | − | 4.18894i | 0.460722 | − | 0.265998i | ||||
\(249\) | 15.7800 | − | 4.22823i | 1.00001 | − | 0.267953i | ||||
\(250\) | 5.39563i | 0.341249i | ||||||||
\(251\) | −2.92724 | + | 5.07013i | −0.184766 | + | 0.320023i | −0.943498 | − | 0.331380i | \(-0.892486\pi\) |
0.758732 | + | 0.651403i | \(0.225819\pi\) | |||||||
\(252\) | 6.49188 | − | 12.0149i | 0.408950 | − | 0.756867i | ||||
\(253\) | 4.20870 | − | 1.12772i | 0.264599 | − | 0.0708990i | ||||
\(254\) | 9.67782 | + | 2.59316i | 0.607240 | + | 0.162710i | ||||
\(255\) | 2.82408 | − | 10.5396i | 0.176851 | − | 0.660016i | ||||
\(256\) | −6.41568 | −0.400980 | ||||||||
\(257\) | 15.9760 | 0.996558 | 0.498279 | − | 0.867017i | \(-0.333966\pi\) | ||||
0.498279 | + | 0.867017i | \(0.333966\pi\) | |||||||
\(258\) | −4.20745 | + | 15.7024i | −0.261944 | + | 0.977589i | ||||
\(259\) | −6.03888 | + | 25.3815i | −0.375238 | + | 1.57713i | ||||
\(260\) | −17.0286 | + | 26.9281i | −1.05607 | + | 1.67001i | ||||
\(261\) | 4.92646 | − | 8.53287i | 0.304940 | − | 0.528171i | ||||
\(262\) | −7.27522 | − | 27.1515i | −0.449465 | − | 1.67743i | ||||
\(263\) | 12.0727 | − | 20.9106i | 0.744437 | − | 1.28940i | −0.206020 | − | 0.978548i | \(-0.566051\pi\) |
0.950457 | − | 0.310856i | \(-0.100616\pi\) | |||||||
\(264\) | −0.819579 | − | 1.41955i | −0.0504416 | − | 0.0873674i | ||||
\(265\) | 14.4568 | − | 14.4568i | 0.888073 | − | 0.888073i | ||||
\(266\) | −20.6167 | − | 11.1396i | −1.26409 | − | 0.683013i | ||||
\(267\) | −2.68790 | − | 10.0314i | −0.164497 | − | 0.613910i | ||||
\(268\) | −4.89935 | − | 18.2846i | −0.299276 | − | 1.11691i | ||||
\(269\) | − | 29.4878i | − | 1.79790i | −0.438047 | − | 0.898952i | \(-0.644330\pi\) | ||
0.438047 | − | 0.898952i | \(-0.355670\pi\) | |||||||
\(270\) | 30.7900 | + | 17.7766i | 1.87382 | + | 1.08185i | ||||
\(271\) | 0.604773 | + | 0.604773i | 0.0367374 | + | 0.0367374i | 0.725237 | − | 0.688499i | \(-0.241730\pi\) |
−0.688499 | + | 0.725237i | \(0.741730\pi\) | |||||||
\(272\) | 4.34212 | 0.263280 | ||||||||
\(273\) | −7.56605 | + | 7.38563i | −0.457918 | + | 0.446999i | ||||
\(274\) | 22.4748 | 1.35775 | ||||||||
\(275\) | 2.16709 | + | 2.16709i | 0.130680 | + | 0.130680i | ||||
\(276\) | −16.6901 | − | 9.63602i | −1.00462 | − | 0.580020i | ||||
\(277\) | − | 14.2038i | − | 0.853426i | −0.904387 | − | 0.426713i | \(-0.859671\pi\) | ||
0.904387 | − | 0.426713i | \(-0.140329\pi\) | |||||||
\(278\) | −0.0417430 | − | 0.155787i | −0.00250358 | − | 0.00934348i | ||||
\(279\) | −1.89649 | − | 7.07779i | −0.113540 | − | 0.423736i | ||||
\(280\) | −16.2454 | + | 0.458535i | −0.970851 | + | 0.0274027i | ||||
\(281\) | 1.82178 | − | 1.82178i | 0.108679 | − | 0.108679i | −0.650676 | − | 0.759355i | \(-0.725515\pi\) |
0.759355 | + | 0.650676i | \(0.225515\pi\) | |||||||
\(282\) | 2.15583 | + | 3.73400i | 0.128378 | + | 0.222356i | ||||
\(283\) | −9.55836 | + | 16.5556i | −0.568185 | + | 0.984126i | 0.428560 | + | 0.903513i | \(0.359021\pi\) |
−0.996746 | + | 0.0806125i | \(0.974312\pi\) | |||||||
\(284\) | −6.30002 | − | 23.5120i | −0.373837 | − | 1.39518i | ||||
\(285\) | 6.71544 | − | 11.6315i | 0.397788 | − | 0.688989i | ||||
\(286\) | −1.28214 | − | 5.69306i | −0.0758144 | − | 0.336637i | ||||
\(287\) | 6.46697 | − | 1.92995i | 0.381733 | − | 0.113921i | ||||
\(288\) | −3.21686 | + | 12.0055i | −0.189555 | + | 0.707431i | ||||
\(289\) | −6.46280 | −0.380165 | ||||||||
\(290\) | −37.3903 | −2.19563 | ||||||||
\(291\) | −2.63316 | + | 9.82709i | −0.154359 | + | 0.576074i | ||||
\(292\) | 17.7164 | + | 4.74709i | 1.03677 | + | 0.277802i | ||||
\(293\) | 0.0611926 | − | 0.0163965i | 0.00357491 | − | 0.000957894i | −0.257031 | − | 0.966403i | \(-0.582744\pi\) |
0.260606 | + | 0.965445i | \(0.416078\pi\) | |||||||
\(294\) | −16.8371 | − | 3.50716i | −0.981958 | − | 0.204542i | ||||
\(295\) | −4.99987 | + | 8.66004i | −0.291104 | + | 0.504207i | ||||
\(296\) | 19.9732i | 1.16092i | ||||||||
\(297\) | −3.72990 | + | 0.999424i | −0.216431 | + | 0.0579924i | ||||
\(298\) | 2.38855 | − | 1.37903i | 0.138365 | − | 0.0798850i | ||||
\(299\) | −14.5891 | − | 15.8146i | −0.843712 | − | 0.914582i | ||||
\(300\) | − | 13.5555i | − | 0.782625i | ||||||
\(301\) | −17.4988 | + | 0.493911i | −1.00861 | + | 0.0284685i | ||||
\(302\) | 0.822539 | + | 1.42468i | 0.0473318 | + | 0.0819810i | ||||
\(303\) | −11.7282 | + | 6.77127i | −0.673766 | + | 0.388999i | ||||
\(304\) | 5.16261 | + | 1.38332i | 0.296096 | + | 0.0793387i | ||||
\(305\) | −15.6093 | − | 15.6093i | −0.893785 | − | 0.893785i | ||||
\(306\) | −3.29920 | + | 12.3128i | −0.188602 | + | 0.703874i | ||||
\(307\) | −4.12063 | − | 4.12063i | −0.235177 | − | 0.235177i | 0.579673 | − | 0.814849i | \(-0.303180\pi\) |
−0.814849 | + | 0.579673i | \(0.803180\pi\) | |||||||
\(308\) | 3.86623 | − | 4.09082i | 0.220299 | − | 0.233096i | ||||
\(309\) | 0.667462 | − | 0.385360i | 0.0379706 | − | 0.0219223i | ||||
\(310\) | −19.6623 | + | 19.6623i | −1.11674 | + | 1.11674i | ||||
\(311\) | 2.60731 | + | 4.51600i | 0.147847 | + | 0.256079i | 0.930432 | − | 0.366466i | \(-0.119432\pi\) |
−0.782584 | + | 0.622544i | \(0.786099\pi\) | |||||||
\(312\) | −4.32619 | + | 6.84121i | −0.244922 | + | 0.387307i | ||||
\(313\) | −14.7297 | − | 8.50419i | −0.832571 | − | 0.480685i | 0.0221612 | − | 0.999754i | \(-0.492945\pi\) |
−0.854732 | + | 0.519069i | \(0.826279\pi\) | |||||||
\(314\) | 19.3421 | + | 5.18271i | 1.09154 | + | 0.292477i | ||||
\(315\) | −3.29008 | + | 13.8283i | −0.185375 | + | 0.779135i | ||||
\(316\) | 39.7430 | + | 22.9457i | 2.23572 | + | 1.29079i | ||||
\(317\) | 3.82263 | − | 1.02427i | 0.214700 | − | 0.0575288i | −0.149866 | − | 0.988706i | \(-0.547884\pi\) |
0.364566 | + | 0.931178i | \(0.381217\pi\) | |||||||
\(318\) | 11.7120 | − | 11.7120i | 0.656776 | − | 0.656776i | ||||
\(319\) | 2.87156 | − | 2.87156i | 0.160776 | − | 0.160776i | ||||
\(320\) | 37.7221 | − | 10.1076i | 2.10873 | − | 0.565033i | ||||
\(321\) | −13.2440 | − | 7.64642i | −0.739208 | − | 0.426782i | ||||
\(322\) | 8.10083 | − | 34.0479i | 0.451441 | − | 1.89742i | ||||
\(323\) | 12.5283 | + | 3.35695i | 0.697094 | + | 0.186786i | ||||
\(324\) | 1.38085 | + | 0.797233i | 0.0767138 | + | 0.0442907i | ||||
\(325\) | 4.50249 | − | 14.4486i | 0.249753 | − | 0.801465i | ||||
\(326\) | 2.52875 | + | 4.37993i | 0.140055 | + | 0.242582i | ||||
\(327\) | −10.2747 | + | 10.2747i | −0.568191 | + | 0.568191i | ||||
\(328\) | 4.47437 | − | 2.58328i | 0.247056 | − | 0.142638i | ||||
\(329\) | −3.18918 | + | 3.37444i | −0.175825 | + | 0.186039i | ||||
\(330\) | 3.84698 | + | 3.84698i | 0.211770 | + | 0.211770i | ||||
\(331\) | −3.47024 | + | 12.9511i | −0.190742 | + | 0.711858i | 0.802586 | + | 0.596536i | \(0.203457\pi\) |
−0.993328 | + | 0.115322i | \(0.963210\pi\) | |||||||
\(332\) | 30.3676 | + | 30.3676i | 1.66664 | + | 1.66664i | ||||
\(333\) | 16.8738 | + | 4.52132i | 0.924678 | + | 0.247767i | ||||
\(334\) | 5.41436 | − | 3.12598i | 0.296260 | − | 0.171046i | ||||
\(335\) | 9.85135 | + | 17.0630i | 0.538237 | + | 0.932253i | ||||
\(336\) | 3.92104 | − | 0.110673i | 0.213910 | − | 0.00603772i | ||||
\(337\) | 15.2503i | 0.830737i | 0.909653 | + | 0.415368i | \(0.136347\pi\) | ||||
−0.909653 | + | 0.415368i | \(0.863653\pi\) | |||||||
\(338\) | −21.9506 | + | 18.6707i | −1.19395 | + | 1.01555i | ||||
\(339\) | −11.3805 | + | 6.57056i | −0.618106 | + | 0.356864i | ||||
\(340\) | 27.7069 | − | 7.42404i | 1.50262 | − | 0.402625i | ||||
\(341\) | − | 3.02011i | − | 0.163548i | ||||||
\(342\) | −7.84522 | + | 13.5883i | −0.424221 | + | 0.734772i | ||||
\(343\) | −1.56594 | − | 18.4539i | −0.0845529 | − | 0.996419i | ||||
\(344\) | −12.9449 | + | 3.46857i | −0.697941 | + | 0.187013i | ||||
\(345\) | 19.3756 | + | 5.19167i | 1.04315 | + | 0.279510i | ||||
\(346\) | −2.66175 | + | 9.93378i | −0.143096 | + | 0.534043i | ||||
\(347\) | 9.79224 | 0.525675 | 0.262838 | − | 0.964840i | \(-0.415342\pi\) | ||||
0.262838 | + | 0.964840i | \(0.415342\pi\) | |||||||
\(348\) | −17.9621 | −0.962867 | ||||||||
\(349\) | −1.16556 | + | 4.34994i | −0.0623911 | + | 0.232847i | −0.990079 | − | 0.140509i | \(-0.955126\pi\) |
0.927688 | + | 0.373356i | \(0.121793\pi\) | |||||||
\(350\) | 23.5889 | − | 7.03968i | 1.26088 | − | 0.376287i | ||||
\(351\) | 12.9294 | + | 14.0155i | 0.690121 | + | 0.748089i | ||||
\(352\) | −2.56138 | + | 4.43645i | −0.136522 | + | 0.236463i | ||||
\(353\) | 4.38567 | + | 16.3675i | 0.233425 | + | 0.871156i | 0.978852 | + | 0.204568i | \(0.0655790\pi\) |
−0.745427 | + | 0.666587i | \(0.767754\pi\) | |||||||
\(354\) | −4.05059 | + | 7.01583i | −0.215286 | + | 0.372887i | ||||
\(355\) | 12.6677 | + | 21.9412i | 0.672333 | + | 1.16452i | ||||
\(356\) | 19.3048 | − | 19.3048i | 1.02315 | − | 1.02315i | ||||
\(357\) | 9.51535 | − | 0.268575i | 0.503606 | − | 0.0142145i | ||||
\(358\) | −8.08163 | − | 30.1611i | −0.427128 | − | 1.59406i | ||||
\(359\) | −4.12643 | − | 15.4000i | −0.217784 | − | 0.812782i | −0.985168 | − | 0.171594i | \(-0.945108\pi\) |
0.767383 | − | 0.641189i | \(-0.221558\pi\) | |||||||
\(360\) | 10.8818i | 0.573519i | ||||||||
\(361\) | −2.62828 | − | 1.51744i | −0.138330 | − | 0.0798651i | ||||
\(362\) | 30.2851 | + | 30.2851i | 1.59175 | + | 1.59175i | ||||
\(363\) | 11.6012 | 0.608906 | ||||||||
\(364\) | −26.7594 | − | 7.51736i | −1.40257 | − | 0.394017i | ||||
\(365\) | −19.0904 | −0.999235 | ||||||||
\(366\) | −12.6457 | − | 12.6457i | −0.661001 | − | 0.661001i | ||||
\(367\) | −20.7903 | − | 12.0033i | −1.08524 | − | 0.626565i | −0.152937 | − | 0.988236i | \(-0.548873\pi\) |
−0.932306 | + | 0.361671i | \(0.882207\pi\) | |||||||
\(368\) | 7.98237i | 0.416110i | ||||||||
\(369\) | −1.16955 | − | 4.36481i | −0.0608842 | − | 0.227223i | ||||
\(370\) | −17.1577 | − | 64.0335i | −0.891987 | − | 3.32894i | ||||
\(371\) | 15.6921 | + | 8.47875i | 0.814693 | + | 0.440195i | ||||
\(372\) | −9.44563 | + | 9.44563i | −0.489733 | + | 0.489733i | ||||
\(373\) | 7.17404 | + | 12.4258i | 0.371458 | + | 0.643384i | 0.989790 | − | 0.142533i | \(-0.0455247\pi\) |
−0.618332 | + | 0.785917i | \(0.712191\pi\) | |||||||
\(374\) | −2.62694 | + | 4.54999i | −0.135836 | + | 0.235274i | ||||
\(375\) | −0.698262 | − | 2.60595i | −0.0360581 | − | 0.134571i | ||||
\(376\) | −1.77724 | + | 3.07826i | −0.0916540 | + | 0.158749i | ||||
\(377\) | −19.1456 | − | 5.96616i | −0.986047 | − | 0.307273i | ||||
\(378\) | −7.17924 | + | 30.1745i | −0.369260 | + | 1.55201i | ||||
\(379\) | −2.18843 | + | 8.16732i | −0.112412 | + | 0.419527i | −0.999080 | − | 0.0428788i | \(-0.986347\pi\) |
0.886668 | + | 0.462406i | \(0.153014\pi\) | |||||||
\(380\) | 35.3076 | 1.81124 | ||||||||
\(381\) | −5.00973 | −0.256656 | ||||||||
\(382\) | −4.41366 | + | 16.4720i | −0.225823 | + | 0.842781i | ||||
\(383\) | 18.9731 | + | 5.08381i | 0.969478 | + | 0.259771i | 0.708607 | − | 0.705603i | \(-0.249324\pi\) |
0.260870 | + | 0.965374i | \(0.415990\pi\) | |||||||
\(384\) | 15.5373 | − | 4.16320i | 0.792884 | − | 0.212453i | ||||
\(385\) | −2.78498 | + | 5.15431i | −0.141936 | + | 0.262688i | ||||
\(386\) | 8.89852 | − | 15.4127i | 0.452923 | − | 0.784485i | ||||
\(387\) | 11.7213i | 0.595825i | ||||||||
\(388\) | −25.8338 | + | 6.92215i | −1.31151 | + | 0.351419i | ||||
\(389\) | −4.88185 | + | 2.81854i | −0.247520 | + | 0.142906i | −0.618628 | − | 0.785684i | \(-0.712311\pi\) |
0.371108 | + | 0.928590i | \(0.378978\pi\) | |||||||
\(390\) | 7.99277 | − | 25.6490i | 0.404730 | − | 1.29879i | ||||
\(391\) | 19.3712i | 0.979641i | ||||||||
\(392\) | −4.43623 | − | 13.4663i | −0.224064 | − | 0.680151i | ||||
\(393\) | 7.02749 | + | 12.1720i | 0.354490 | + | 0.613995i | ||||
\(394\) | 11.3184 | − | 6.53470i | 0.570214 | − | 0.329213i | ||||
\(395\) | −46.1379 | − | 12.3626i | −2.32145 | − | 0.622030i | ||||
\(396\) | −2.66495 | − | 2.66495i | −0.133919 | − | 0.133919i | ||||
\(397\) | −3.51692 | + | 13.1253i | −0.176509 | + | 0.658740i | 0.819781 | + | 0.572678i | \(0.194095\pi\) |
−0.996290 | + | 0.0860629i | \(0.972571\pi\) | |||||||
\(398\) | −13.7000 | − | 13.7000i | −0.686717 | − | 0.686717i | ||||
\(399\) | 11.3989 | + | 2.71208i | 0.570660 | + | 0.135774i | ||||
\(400\) | −4.86238 | + | 2.80730i | −0.243119 | + | 0.140365i | ||||
\(401\) | 5.57129 | − | 5.57129i | 0.278217 | − | 0.278217i | −0.554180 | − | 0.832397i | \(-0.686968\pi\) |
0.832397 | + | 0.554180i | \(0.186968\pi\) | |||||||
\(402\) | 7.98096 | + | 13.8234i | 0.398054 | + | 0.689450i | ||||
\(403\) | −13.2054 | + | 6.93059i | −0.657807 | + | 0.345237i | ||||
\(404\) | −30.8315 | − | 17.8005i | −1.53392 | − | 0.885610i | ||||
\(405\) | −1.60303 | − | 0.429531i | −0.0796553 | − | 0.0213436i | ||||
\(406\) | −9.32813 | − | 31.2572i | −0.462947 | − | 1.55127i | ||||
\(407\) | 6.23545 | + | 3.60004i | 0.309080 | + | 0.178447i | ||||
\(408\) | 7.03907 | − | 1.88611i | 0.348486 | − | 0.0933766i | ||||
\(409\) | 2.68114 | − | 2.68114i | 0.132574 | − | 0.132574i | −0.637706 | − | 0.770280i | \(-0.720117\pi\) |
0.770280 | + | 0.637706i | \(0.220117\pi\) | |||||||
\(410\) | −12.1255 | + | 12.1255i | −0.598838 | + | 0.598838i | ||||
\(411\) | −10.8548 | + | 2.90852i | −0.535426 | + | 0.143467i | ||||
\(412\) | 1.75465 | + | 1.01305i | 0.0864453 | + | 0.0499092i | ||||
\(413\) | −8.48689 | − | 2.01924i | −0.417613 | − | 0.0993602i | ||||
\(414\) | −22.6353 | − | 6.06510i | −1.11246 | − | 0.298084i | ||||
\(415\) | −38.7115 | − | 22.3501i | −1.90027 | − | 1.09712i | ||||
\(416\) | 25.2762 | + | 1.01879i | 1.23927 | + | 0.0499502i | ||||
\(417\) | 0.0403216 | + | 0.0698390i | 0.00197456 | + | 0.00342003i | ||||
\(418\) | −4.57287 | + | 4.57287i | −0.223666 | + | 0.223666i | ||||
\(419\) | −3.07221 | + | 1.77374i | −0.150087 | + | 0.0866528i | −0.573163 | − | 0.819441i | \(-0.694284\pi\) |
0.423076 | + | 0.906094i | \(0.360950\pi\) | |||||||
\(420\) | 24.8308 | − | 7.41029i | 1.21162 | − | 0.361585i | ||||
\(421\) | −21.1170 | − | 21.1170i | −1.02918 | − | 1.02918i | −0.999561 | − | 0.0296199i | \(-0.990570\pi\) |
−0.0296199 | − | 0.999561i | \(-0.509430\pi\) | |||||||
\(422\) | −11.5730 | + | 43.1910i | −0.563364 | + | 2.10250i | ||||
\(423\) | 2.19827 | + | 2.19827i | 0.106883 | + | 0.106883i | ||||
\(424\) | 13.1893 | + | 3.53406i | 0.640528 | + | 0.171629i | ||||
\(425\) | −11.7997 | + | 6.81259i | −0.572372 | + | 0.330459i | ||||
\(426\) | 10.2626 | + | 17.7754i | 0.497225 | + | 0.861219i | ||||
\(427\) | 9.15469 | − | 16.9431i | 0.443027 | − | 0.819934i | ||||
\(428\) | − | 40.2024i | − | 1.94325i | ||||||
\(429\) | 1.35599 | + | 2.58368i | 0.0654679 | + | 0.124741i | ||||
\(430\) | 38.5212 | − | 22.2402i | 1.85766 | − | 1.07252i | ||||
\(431\) | 15.5793 | − | 4.17446i | 0.750428 | − | 0.201077i | 0.136720 | − | 0.990610i | \(-0.456344\pi\) |
0.613708 | + | 0.789533i | \(0.289677\pi\) | |||||||
\(432\) | − | 7.07426i | − | 0.340360i | ||||||
\(433\) | 14.9794 | − | 25.9452i | 0.719866 | − | 1.24684i | −0.241186 | − | 0.970479i | \(-0.577537\pi\) |
0.961052 | − | 0.276366i | \(-0.0891302\pi\) | |||||||
\(434\) | −21.3424 | − | 11.5317i | −1.02447 | − | 0.553540i | ||||
\(435\) | 18.0586 | − | 4.83878i | 0.865842 | − | 0.232002i | ||||
\(436\) | −36.8970 | − | 9.88651i | −1.76704 | − | 0.473478i | ||||
\(437\) | −6.17128 | + | 23.0315i | −0.295212 | + | 1.10175i | ||||
\(438\) | −15.4658 | −0.738986 | ||||||||
\(439\) | 4.51920 | 0.215690 | 0.107845 | − | 0.994168i | \(-0.465605\pi\) | ||||
0.107845 | + | 0.994168i | \(0.465605\pi\) | |||||||
\(440\) | −1.16082 | + | 4.33222i | −0.0553397 | + | 0.206531i | ||||
\(441\) | −12.3808 | + | 0.699467i | −0.589563 | + | 0.0333079i | ||||
\(442\) | 25.9231 | + | 1.04486i | 1.23304 | + | 0.0496990i | ||||
\(443\) | 16.8631 | − | 29.2078i | 0.801191 | − | 1.38770i | −0.117641 | − | 0.993056i | \(-0.537533\pi\) |
0.918833 | − | 0.394648i | \(-0.129133\pi\) | |||||||
\(444\) | −8.24246 | − | 30.7613i | −0.391170 | − | 1.45987i | ||||
\(445\) | −14.2080 | + | 24.6090i | −0.673524 | + | 1.16658i | ||||
\(446\) | −14.6510 | − | 25.3762i | −0.693743 | − | 1.20160i | ||||
\(447\) | −0.975144 | + | 0.975144i | −0.0461227 | + | 0.0461227i | ||||
\(448\) | 17.8606 | + | 29.0129i | 0.843832 | + | 1.37073i | ||||
\(449\) | −0.999901 | − | 3.73168i | −0.0471882 | − | 0.176109i | 0.938310 | − | 0.345796i | \(-0.112391\pi\) |
−0.985498 | + | 0.169687i | \(0.945724\pi\) | |||||||
\(450\) | −4.26604 | − | 15.9211i | −0.201103 | − | 0.750527i | ||||
\(451\) | − | 1.86247i | − | 0.0877004i | ||||||
\(452\) | −29.9176 | − | 17.2729i | −1.40720 | − | 0.812449i | ||||
\(453\) | −0.581636 | − | 0.581636i | −0.0273277 | − | 0.0273277i | ||||
\(454\) | −16.8886 | −0.792620 | ||||||||
\(455\) | 28.9282 | + | 0.349075i | 1.35617 | + | 0.0163649i | ||||
\(456\) | 8.97006 | 0.420061 | ||||||||
\(457\) | 0.367380 | + | 0.367380i | 0.0171853 | + | 0.0171853i | 0.715647 | − | 0.698462i | \(-0.246132\pi\) |
−0.698462 | + | 0.715647i | \(0.746132\pi\) | |||||||
\(458\) | 56.1405 | + | 32.4128i | 2.62328 | + | 1.51455i | ||||
\(459\) | − | 17.1674i | − | 0.801305i | ||||||
\(460\) | 13.6480 | + | 50.9352i | 0.636343 | + | 2.37487i | ||||
\(461\) | 7.57790 | + | 28.2811i | 0.352938 | + | 1.31718i | 0.883060 | + | 0.469261i | \(0.155480\pi\) |
−0.530122 | + | 0.847922i | \(0.677854\pi\) | |||||||
\(462\) | −2.25622 | + | 4.17571i | −0.104969 | + | 0.194272i | ||||
\(463\) | 15.0661 | − | 15.0661i | 0.700181 | − | 0.700181i | −0.264268 | − | 0.964449i | \(-0.585130\pi\) |
0.964449 | + | 0.264268i | \(0.0851303\pi\) | |||||||
\(464\) | 3.71989 | + | 6.44304i | 0.172692 | + | 0.299111i | ||||
\(465\) | 6.95182 | − | 12.0409i | 0.322383 | − | 0.558384i | ||||
\(466\) | 0.521136 | + | 1.94491i | 0.0241412 | + | 0.0900961i | ||||
\(467\) | 2.14169 | − | 3.70951i | 0.0991054 | − | 0.171656i | −0.812209 | − | 0.583366i | \(-0.801735\pi\) |
0.911315 | + | 0.411711i | \(0.135069\pi\) | |||||||
\(468\) | −5.53690 | + | 17.7681i | −0.255943 | + | 0.821328i | ||||
\(469\) | −11.8065 | + | 12.4923i | −0.545172 | + | 0.576841i | ||||
\(470\) | 3.05342 | − | 11.3955i | 0.140844 | − | 0.525636i | ||||
\(471\) | −10.0125 | −0.461350 | ||||||||
\(472\) | −6.67851 | −0.307404 | ||||||||
\(473\) | −1.25037 | + | 4.66645i | −0.0574921 | + | 0.214564i | ||||
\(474\) | −37.3780 | − | 10.0154i | −1.71683 | − | 0.460023i | ||||
\(475\) | −16.1998 | + | 4.34072i | −0.743297 | + | 0.199166i | ||||
\(476\) | 13.1186 | + | 21.3100i | 0.601289 | + | 0.976741i | ||||
\(477\) | 5.97128 | − | 10.3426i | 0.273406 | − | 0.473553i | ||||
\(478\) | − | 22.1163i | − | 1.01158i | ||||||
\(479\) | 10.8652 | − | 2.91131i | 0.496442 | − | 0.133021i | −0.00190599 | − | 0.999998i | \(-0.500607\pi\) |
0.498348 | + | 0.866977i | \(0.333940\pi\) | |||||||
\(480\) | −20.4240 | + | 11.7918i | −0.932226 | + | 0.538221i | ||||
\(481\) | 1.43191 | − | 35.5259i | 0.0652895 | − | 1.61984i | ||||
\(482\) | − | 16.0027i | − | 0.728902i | ||||||
\(483\) | 0.493737 | + | 17.4926i | 0.0224658 | + | 0.795942i | ||||
\(484\) | 15.2488 | + | 26.4117i | 0.693129 | + | 1.20053i | ||||
\(485\) | 24.1078 | − | 13.9187i | 1.09468 | − | 0.632014i | ||||
\(486\) | 32.6726 | + | 8.75461i | 1.48206 | + | 0.397117i | ||||
\(487\) | 4.97171 | + | 4.97171i | 0.225290 | + | 0.225290i | 0.810722 | − | 0.585432i | \(-0.199075\pi\) |
−0.585432 | + | 0.810722i | \(0.699075\pi\) | |||||||
\(488\) | 3.81580 | − | 14.2407i | 0.172733 | − | 0.644648i | ||||
\(489\) | −1.78814 | − | 1.78814i | −0.0808625 | − | 0.0808625i | ||||
\(490\) | 25.7904 | + | 39.3616i | 1.16509 | + | 1.77818i | ||||
\(491\) | −0.343800 | + | 0.198493i | −0.0155155 | + | 0.00895787i | −0.507738 | − | 0.861512i | \(-0.669518\pi\) |
0.492222 | + | 0.870470i | \(0.336185\pi\) | |||||||
\(492\) | −5.82503 | + | 5.82503i | −0.262613 | + | 0.262613i | ||||
\(493\) | 9.02721 | + | 15.6356i | 0.406565 | + | 0.704192i | ||||
\(494\) | 30.4887 | + | 9.50091i | 1.37175 | + | 0.427466i | ||||
\(495\) | 3.39718 | + | 1.96136i | 0.152692 | + | 0.0881566i | ||||
\(496\) | 5.34434 | + | 1.43201i | 0.239968 | + | 0.0642992i | ||||
\(497\) | −15.1818 | + | 16.0637i | −0.680997 | + | 0.720556i | ||||
\(498\) | −31.3616 | − | 18.1066i | −1.40535 | − | 0.811378i | ||||
\(499\) | 1.91022 | − | 0.511843i | 0.0855133 | − | 0.0229132i | −0.215809 | − | 0.976436i | \(-0.569239\pi\) |
0.301322 | + | 0.953522i | \(0.402572\pi\) | |||||||
\(500\) | 5.01500 | − | 5.01500i | 0.224277 | − | 0.224277i | ||||
\(501\) | −2.21045 | + | 2.21045i | −0.0987558 | + | 0.0987558i | ||||
\(502\) | 12.5354 | − | 3.35884i | 0.559481 | − | 0.149913i | ||||
\(503\) | −4.35557 | − | 2.51469i | −0.194205 | − | 0.112124i | 0.399745 | − | 0.916627i | \(-0.369099\pi\) |
−0.593950 | + | 0.804502i | \(0.702432\pi\) | |||||||
\(504\) | −9.09682 | + | 2.71478i | −0.405204 | + | 0.120926i | ||||
\(505\) | 35.7924 | + | 9.59053i | 1.59274 | + | 0.426773i | ||||
\(506\) | −8.36451 | − | 4.82925i | −0.371848 | − | 0.214687i | ||||
\(507\) | 8.18534 | − | 11.8581i | 0.363524 | − | 0.526638i | ||||
\(508\) | −6.58487 | − | 11.4053i | −0.292156 | − | 0.506030i | ||||
\(509\) | 4.21429 | − | 4.21429i | 0.186795 | − | 0.186795i | −0.607514 | − | 0.794309i | \(-0.707833\pi\) |
0.794309 | + | 0.607514i | \(0.207833\pi\) | |||||||
\(510\) | −20.9468 | + | 12.0936i | −0.927539 | + | 0.535515i | ||||
\(511\) | −4.76266 | − | 15.9590i | −0.210688 | − | 0.705983i | ||||
\(512\) | −10.4677 | − | 10.4677i | −0.462613 | − | 0.462613i | ||||
\(513\) | 5.46920 | − | 20.4113i | 0.241471 | − | 0.901183i | ||||
\(514\) | −25.0415 | − | 25.0415i | −1.10453 | − | 1.10453i | ||||
\(515\) | −2.03698 | − | 0.545807i | −0.0897600 | − | 0.0240511i | ||||
\(516\) | 18.5053 | − | 10.6841i | 0.814651 | − | 0.470339i | ||||
\(517\) | 0.640669 | + | 1.10967i | 0.0281766 | + | 0.0488033i | ||||
\(518\) | 49.2495 | − | 30.3184i | 2.16390 | − | 1.33211i | ||||
\(519\) | − | 5.14222i | − | 0.225719i | ||||||
\(520\) | 21.6065 | − | 4.86601i | 0.947506 | − | 0.213389i | ||||
\(521\) | −17.6087 | + | 10.1664i | −0.771453 | + | 0.445399i | −0.833393 | − | 0.552681i | \(-0.813605\pi\) |
0.0619398 | + | 0.998080i | \(0.480271\pi\) | |||||||
\(522\) | −21.0967 | + | 5.65284i | −0.923376 | + | 0.247418i | ||||
\(523\) | − | 27.0854i | − | 1.18436i | −0.805806 | − | 0.592180i | \(-0.798267\pi\) | ||
0.805806 | − | 0.592180i | \(-0.201733\pi\) | |||||||
\(524\) | −18.4741 | + | 31.9981i | −0.807045 | + | 1.39784i | ||||
\(525\) | −10.4818 | + | 6.45269i | −0.457464 | + | 0.281618i | ||||
\(526\) | −51.6994 | + | 13.8528i | −2.25420 | + | 0.604011i | ||||
\(527\) | 12.9693 | + | 3.47512i | 0.564952 | + | 0.151379i | ||||
\(528\) | 0.280177 | − | 1.04564i | 0.0121932 | − | 0.0455055i | ||||
\(529\) | −12.6111 | −0.548309 | ||||||||
\(530\) | −45.3202 | −1.96858 | ||||||||
\(531\) | −1.51181 | + | 5.64214i | −0.0656069 | + | 0.244848i | ||||
\(532\) | 8.80852 | + | 29.5160i | 0.381898 | + | 1.27968i | ||||
\(533\) | −8.14364 | + | 4.27403i | −0.352740 | + | 0.185129i | ||||
\(534\) | −11.5105 | + | 19.9367i | −0.498106 | + | 0.862745i | ||||
\(535\) | 10.8301 | + | 40.4183i | 0.468224 | + | 1.74744i | ||||
\(536\) | −6.57940 | + | 11.3959i | −0.284187 | + | 0.492226i | ||||
\(537\) | 7.80644 | + | 13.5212i | 0.336873 | + | 0.583481i | ||||
\(538\) | −46.2204 | + | 46.2204i | −1.99270 | + | 1.99270i | ||||
\(539\) | −5.00365 | − | 1.04226i | −0.215522 | − | 0.0448933i | ||||
\(540\) | −12.0954 | − | 45.1406i | −0.520502 | − | 1.94254i | ||||
\(541\) | 8.82915 | + | 32.9508i | 0.379595 | + | 1.41667i | 0.846513 | + | 0.532367i | \(0.178697\pi\) |
−0.466919 | + | 0.884300i | \(0.654636\pi\) | |||||||
\(542\) | − | 1.89589i | − | 0.0814355i | ||||||
\(543\) | −18.5462 | − | 10.7077i | −0.795894 | − | 0.459510i | ||||
\(544\) | −16.1043 | − | 16.1043i | −0.690464 | − | 0.690464i | ||||
\(545\) | 39.7585 | 1.70307 | ||||||||
\(546\) | 23.4358 | + | 0.282799i | 1.00296 | + | 0.0121027i | ||||
\(547\) | −12.5750 | −0.537669 | −0.268834 | − | 0.963186i | \(-0.586638\pi\) | ||||
−0.268834 | + | 0.963186i | \(0.586638\pi\) | |||||||
\(548\) | −20.8893 | − | 20.8893i | −0.892348 | − | 0.892348i | ||||
\(549\) | −11.1671 | − | 6.44732i | −0.476600 | − | 0.275165i | ||||
\(550\) | − | 6.79355i | − | 0.289678i | ||||||
\(551\) | 5.75180 | + | 21.4660i | 0.245035 | + | 0.914482i | ||||
\(552\) | 3.46735 | + | 12.9403i | 0.147580 | + | 0.550777i | ||||
\(553\) | −1.17571 | − | 41.6541i | −0.0499961 | − | 1.77131i | ||||
\(554\) | −22.2637 | + | 22.2637i | −0.945892 | + | 0.945892i | ||||
\(555\) | 16.5735 | + | 28.7061i | 0.703505 | + | 1.21851i | ||||
\(556\) | −0.105999 | + | 0.183595i | −0.00449535 | + | 0.00778617i | ||||
\(557\) | −7.89194 | − | 29.4531i | −0.334392 | − | 1.24797i | −0.904527 | − | 0.426417i | \(-0.859776\pi\) |
0.570134 | − | 0.821551i | \(-0.306891\pi\) | |||||||
\(558\) | −8.12138 | + | 14.0666i | −0.343805 | + | 0.595488i | ||||
\(559\) | 23.2734 | − | 5.24141i | 0.984358 | − | 0.221688i | ||||
\(560\) | −7.80048 | − | 7.37222i | −0.329630 | − | 0.311533i | ||||
\(561\) | 0.679918 | − | 2.53749i | 0.0287062 | − | 0.107133i | ||||
\(562\) | −5.71107 | −0.240907 | ||||||||
\(563\) | −32.2270 | −1.35821 | −0.679104 | − | 0.734042i | \(-0.737631\pi\) | ||||
−0.679104 | + | 0.734042i | \(0.737631\pi\) | |||||||
\(564\) | 1.46684 | − | 5.47433i | 0.0617652 | − | 0.230511i | ||||
\(565\) | 34.7314 | + | 9.30625i | 1.46116 | + | 0.391517i | ||||
\(566\) | 40.9320 | − | 10.9677i | 1.72050 | − | 0.461006i | ||||
\(567\) | −0.0408492 | − | 1.44724i | −0.00171550 | − | 0.0607786i | ||||
\(568\) | −8.46038 | + | 14.6538i | −0.354989 | + | 0.614860i | ||||
\(569\) | − | 8.01324i | − | 0.335932i | −0.985793 | − | 0.167966i | \(-0.946280\pi\) | ||
0.985793 | − | 0.167966i | \(-0.0537199\pi\) | |||||||
\(570\) | −28.7577 | + | 7.70560i | −1.20453 | + | 0.322752i | ||||
\(571\) | 20.5058 | − | 11.8390i | 0.858139 | − | 0.495447i | −0.00524963 | − | 0.999986i | \(-0.501671\pi\) |
0.863389 | + | 0.504539i | \(0.168338\pi\) | |||||||
\(572\) | −4.09975 | + | 6.48313i | −0.171419 | + | 0.271073i | ||||
\(573\) | − | 8.52674i | − | 0.356210i | ||||||
\(574\) | −13.1617 | − | 7.11150i | −0.549357 | − | 0.296828i | ||||
\(575\) | −12.5240 | − | 21.6922i | −0.522286 | − | 0.904626i | ||||
\(576\) | 19.7558 | − | 11.4060i | 0.823157 | − | 0.475250i | ||||
\(577\) | 41.4172 | + | 11.0977i | 1.72422 | + | 0.462004i | 0.978839 | − | 0.204634i | \(-0.0656004\pi\) |
0.745382 | + | 0.666638i | \(0.232267\pi\) | |||||||
\(578\) | 10.1300 | + | 10.1300i | 0.421354 | + | 0.421354i | ||||
\(579\) | −2.30316 | + | 8.59551i | −0.0957161 | + | 0.357217i | ||||
\(580\) | 34.7526 | + | 34.7526i | 1.44302 | + | 1.44302i | ||||
\(581\) | 9.02625 | − | 37.9375i | 0.374472 | − | 1.57391i | ||||
\(582\) | 19.5307 | − | 11.2760i | 0.809573 | − | 0.467407i | ||||
\(583\) | 3.48057 | − | 3.48057i | 0.144151 | − | 0.144151i | ||||
\(584\) | −6.37492 | − | 11.0417i | −0.263796 | − | 0.456908i | ||||
\(585\) | 0.780129 | − | 19.3551i | 0.0322544 | − | 0.800234i | ||||
\(586\) | −0.121616 | − | 0.0702151i | −0.00502392 | − | 0.00290056i | ||||
\(587\) | −31.0661 | − | 8.32414i | −1.28224 | − | 0.343574i | −0.447530 | − | 0.894269i | \(-0.647696\pi\) |
−0.834707 | + | 0.550695i | \(0.814363\pi\) | |||||||
\(588\) | 12.3896 | + | 18.9091i | 0.510937 | + | 0.779796i | ||||
\(589\) | 14.3129 | + | 8.26355i | 0.589752 | + | 0.340494i | ||||
\(590\) | 21.4111 | − | 5.73708i | 0.881480 | − | 0.236192i | ||||
\(591\) | −4.62084 | + | 4.62084i | −0.190076 | + | 0.190076i | ||||
\(592\) | −9.32716 | + | 9.32716i | −0.383344 | + | 0.383344i | ||||
\(593\) | 33.1918 | − | 8.89371i | 1.36302 | − | 0.365221i | 0.498097 | − | 0.867121i | \(-0.334032\pi\) |
0.864926 | + | 0.501900i | \(0.167366\pi\) | |||||||
\(594\) | 7.41292 | + | 4.27985i | 0.304156 | + | 0.175605i | ||||
\(595\) | −18.9297 | − | 17.8905i | −0.776043 | − | 0.733438i | ||||
\(596\) | −3.50180 | − | 0.938303i | −0.143439 | − | 0.0384344i | ||||
\(597\) | 8.38968 | + | 4.84379i | 0.343367 | + | 0.198243i | ||||
\(598\) | −1.92083 | + | 47.6560i | −0.0785486 | + | 1.94880i | ||||
\(599\) | −2.36262 | − | 4.09217i | −0.0965339 | − | 0.167202i | 0.813714 | − | 0.581266i | \(-0.197442\pi\) |
−0.910248 | + | 0.414064i | \(0.864109\pi\) | |||||||
\(600\) | −6.66306 | + | 6.66306i | −0.272018 | + | 0.272018i | ||||
\(601\) | 2.81859 | − | 1.62731i | 0.114973 | − | 0.0663794i | −0.441411 | − | 0.897305i | \(-0.645522\pi\) |
0.556383 | + | 0.830926i | \(0.312189\pi\) | |||||||
\(602\) | 28.2024 | + | 26.6540i | 1.14944 | + | 1.08634i | ||||
\(603\) | 8.13808 | + | 8.13808i | 0.331408 | + | 0.331408i | ||||
\(604\) | 0.559662 | − | 2.08869i | 0.0227723 | − | 0.0849875i | ||||
\(605\) | −22.4458 | − | 22.4458i | −0.912551 | − | 0.912551i | ||||
\(606\) | 28.9968 | + | 7.76966i | 1.17791 | + | 0.315621i | ||||
\(607\) | −13.6571 | + | 7.88495i | −0.554326 | + | 0.320040i | −0.750865 | − | 0.660456i | \(-0.770363\pi\) |
0.196539 | + | 0.980496i | \(0.437030\pi\) | |||||||
\(608\) | −14.0168 | − | 24.2778i | −0.568457 | − | 0.984596i | ||||
\(609\) | 8.55032 | + | 13.8892i | 0.346476 | + | 0.562820i | ||||
\(610\) | 48.9332i | 1.98125i | ||||||||
\(611\) | 3.38181 | − | 5.34781i | 0.136813 | − | 0.216349i | ||||
\(612\) | 14.5106 | − | 8.37771i | 0.586557 | − | 0.338649i | ||||
\(613\) | −12.8002 | + | 3.42979i | −0.516993 | + | 0.138528i | −0.507876 | − | 0.861430i | \(-0.669569\pi\) |
−0.00911789 | + | 0.999958i | \(0.502902\pi\) | |||||||
\(614\) | 12.9177i | 0.521314i | ||||||||
\(615\) | 4.28713 | − | 7.42552i | 0.172874 | − | 0.299426i | ||||
\(616\) | −3.91121 | + | 0.110396i | −0.157587 | + | 0.00444797i | ||||
\(617\) | −36.8780 | + | 9.88144i | −1.48465 | + | 0.397812i | −0.907928 | − | 0.419126i | \(-0.862337\pi\) |
−0.576726 | + | 0.816938i | \(0.695670\pi\) | |||||||
\(618\) | −1.65023 | − | 0.442179i | −0.0663822 | − | 0.0177870i | ||||
\(619\) | 4.73495 | − | 17.6711i | 0.190314 | − | 0.710261i | −0.803117 | − | 0.595822i | \(-0.796826\pi\) |
0.993430 | − | 0.114439i | \(-0.0365070\pi\) | |||||||
\(620\) | 36.5504 | 1.46790 | ||||||||
\(621\) | 31.5598 | 1.26645 | ||||||||
\(622\) | 2.99175 | − | 11.1653i | 0.119958 | − | 0.447690i | ||||
\(623\) | −24.1170 | − | 5.73802i | −0.966226 | − | 0.229889i | ||||
\(624\) | −5.21499 | + | 1.17447i | −0.208767 | + | 0.0470165i | ||||
\(625\) | −14.1844 | + | 24.5682i | −0.567377 | + | 0.982726i | ||||
\(626\) | 9.75809 | + | 36.4177i | 0.390012 | + | 1.45554i | ||||
\(627\) | 1.61679 | − | 2.80036i | 0.0645684 | − | 0.111836i | ||||
\(628\) | −13.1606 | − | 22.7948i | −0.525163 | − | 0.909610i | ||||
\(629\) | −22.6346 | + | 22.6346i | −0.902501 | + | 0.902501i | ||||
\(630\) | 26.8320 | − | 16.5180i | 1.06901 | − | 0.658092i | ||||
\(631\) | 8.97429 | + | 33.4925i | 0.357261 | + | 1.33332i | 0.877615 | + | 0.479366i | \(0.159133\pi\) |
−0.520354 | + | 0.853950i | \(0.674200\pi\) | |||||||
\(632\) | −8.25659 | − | 30.8140i | −0.328430 | − | 1.22572i | ||||
\(633\) | − | 22.3578i | − | 0.888643i | ||||||
\(634\) | −7.59722 | − | 4.38626i | −0.301724 | − | 0.174201i | ||||
\(635\) | 9.69271 | + | 9.69271i | 0.384644 | + | 0.384644i | ||||
\(636\) | −21.7715 | −0.863298 | ||||||||
\(637\) | 6.92519 | + | 24.2702i | 0.274386 | + | 0.961620i | ||||
\(638\) | −9.00199 | −0.356392 | ||||||||
\(639\) | 10.4647 | + | 10.4647i | 0.413975 | + | 0.413975i | ||||
\(640\) | −38.1161 | − | 22.0063i | −1.50667 | − | 0.869877i | ||||
\(641\) | 15.7583i | 0.622414i | 0.950342 | + | 0.311207i | \(0.100733\pi\) | ||||
−0.950342 | + | 0.311207i | \(0.899267\pi\) | |||||||
\(642\) | 8.77385 | + | 32.7444i | 0.346276 | + | 1.29232i | ||||
\(643\) | −7.83090 | − | 29.2253i | −0.308821 | − | 1.15253i | −0.929606 | − | 0.368554i | \(-0.879853\pi\) |
0.620786 | − | 0.783980i | \(-0.286814\pi\) | |||||||
\(644\) | −39.1754 | + | 24.1167i | −1.54373 | + | 0.950330i | ||||
\(645\) | −15.7266 | + | 15.7266i | −0.619233 | + | 0.619233i | ||||
\(646\) | −14.3755 | − | 24.8992i | −0.565598 | − | 0.979645i | ||||
\(647\) | 22.4737 | − | 38.9255i | 0.883531 | − | 1.53032i | 0.0361431 | − | 0.999347i | \(-0.488493\pi\) |
0.847388 | − | 0.530974i | \(-0.178174\pi\) | |||||||
\(648\) | −0.286870 | − | 1.07061i | −0.0112693 | − | 0.0420577i | ||||
\(649\) | −1.20376 | + | 2.08497i | −0.0472515 | + | 0.0818421i | ||||
\(650\) | −29.7047 | + | 15.5900i | −1.16511 | + | 0.611488i | ||||
\(651\) | 11.8002 | + | 2.80755i | 0.462485 | + | 0.110037i | ||||
\(652\) | 1.72058 | − | 6.42131i | 0.0673833 | − | 0.251478i | ||||
\(653\) | −4.80782 | −0.188145 | −0.0940723 | − | 0.995565i | \(-0.529988\pi\) | ||||
−0.0940723 | + | 0.995565i | \(0.529988\pi\) | |||||||
\(654\) | 32.2099 | 1.25951 | ||||||||
\(655\) | 9.95343 | − | 37.1467i | 0.388913 | − | 1.45144i | ||||
\(656\) | 3.29580 | + | 0.883107i | 0.128679 | + | 0.0344796i | ||||
\(657\) | −10.7713 | + | 2.88617i | −0.420229 | + | 0.112600i | ||||
\(658\) | 10.2881 | − | 0.290386i | 0.401071 | − | 0.0113204i | ||||
\(659\) | −1.29400 | + | 2.24128i | −0.0504072 | + | 0.0873078i | −0.890128 | − | 0.455710i | \(-0.849385\pi\) |
0.839721 | + | 0.543018i | \(0.182719\pi\) | |||||||
\(660\) | − | 7.15120i | − | 0.278360i | ||||||
\(661\) | −1.14316 | + | 0.306308i | −0.0444637 | + | 0.0119140i | −0.280982 | − | 0.959713i | \(-0.590660\pi\) |
0.236519 | + | 0.971627i | \(0.423994\pi\) | |||||||
\(662\) | 25.7395 | − | 14.8607i | 1.00039 | − | 0.577577i | ||||
\(663\) | −12.6554 | + | 2.85014i | −0.491496 | + | 0.110690i | ||||
\(664\) | − | 29.8538i | − | 1.15855i | ||||||
\(665\) | −16.8071 | − | 27.3017i | −0.651753 | − | 1.05871i | ||||
\(666\) | −19.3617 | − | 33.5355i | −0.750252 | − | 1.29948i | ||||
\(667\) | −28.7438 | + | 16.5953i | −1.11297 | + | 0.642571i | ||||
\(668\) | −7.93786 | − | 2.12694i | −0.307125 | − | 0.0822939i | ||||
\(669\) | 10.3600 | + | 10.3600i | 0.400542 | + | 0.400542i | ||||
\(670\) | 11.3039 | − | 42.1867i | 0.436707 | − | 1.62981i | ||||
\(671\) | −3.75805 | − | 3.75805i | −0.145078 | − | 0.145078i | ||||
\(672\) | −14.9530 | − | 14.1321i | −0.576824 | − | 0.545156i | ||||
\(673\) | 28.3877 | − | 16.3896i | 1.09426 | − | 0.631774i | 0.159556 | − | 0.987189i | \(-0.448994\pi\) |
0.934709 | + | 0.355415i | \(0.115660\pi\) | |||||||
\(674\) | 23.9039 | − | 23.9039i | 0.920744 | − | 0.920744i | ||||
\(675\) | 11.0992 | + | 19.2244i | 0.427208 | + | 0.739946i | ||||
\(676\) | 37.7556 | + | 3.04852i | 1.45214 | + | 0.117251i | ||||
\(677\) | 6.57450 | + | 3.79579i | 0.252678 | + | 0.145884i | 0.620990 | − | 0.783818i | \(-0.286731\pi\) |
−0.368312 | + | 0.929702i | \(0.620064\pi\) | |||||||
\(678\) | 28.1373 | + | 7.53935i | 1.08060 | + | 0.289547i | ||||
\(679\) | 17.6500 | + | 16.6810i | 0.677345 | + | 0.640158i | ||||
\(680\) | −17.2683 | − | 9.96984i | −0.662208 | − | 0.382326i | ||||
\(681\) | 8.15675 | − | 2.18560i | 0.312567 | − | 0.0837522i | ||||
\(682\) | −4.73383 | + | 4.73383i | −0.181268 | + | 0.181268i | ||||
\(683\) | 16.7687 | − | 16.7687i | 0.641635 | − | 0.641635i | −0.309322 | − | 0.950957i | \(-0.600102\pi\) |
0.950957 | + | 0.309322i | \(0.100102\pi\) | |||||||
\(684\) | 19.9215 | − | 5.33796i | 0.761719 | − | 0.204102i | ||||
\(685\) | 26.6289 | + | 15.3742i | 1.01744 | + | 0.587418i | ||||
\(686\) | −26.4709 | + | 31.3799i | −1.01066 | + | 1.19809i | ||||
\(687\) | −31.3091 | − | 8.38924i | −1.19452 | − | 0.320069i | ||||
\(688\) | −7.66480 | − | 4.42528i | −0.292218 | − | 0.168712i | ||||
\(689\) | −23.2060 | − | 7.23149i | −0.884080 | − | 0.275498i | ||||
\(690\) | −22.2324 | − | 38.5077i | −0.846373 | − | 1.46596i | ||||
\(691\) | 2.45150 | − | 2.45150i | 0.0932596 | − | 0.0932596i | −0.658938 | − | 0.752197i | \(-0.728994\pi\) |
0.752197 | + | 0.658938i | \(0.228994\pi\) | |||||||
\(692\) | 11.7070 | − | 6.75903i | 0.445033 | − | 0.256940i | ||||
\(693\) | −0.792111 | + | 3.32926i | −0.0300898 | + | 0.126468i | ||||
\(694\) | −15.3487 | − | 15.3487i | −0.582630 | − | 0.582630i | ||||
\(695\) | 0.0571097 | − | 0.213136i | 0.00216630 | − | 0.00808473i | ||||
\(696\) | 8.82907 | + | 8.82907i | 0.334665 | + | 0.334665i | ||||
\(697\) | 7.99806 | + | 2.14307i | 0.302948 | + | 0.0811747i | ||||
\(698\) | 8.64521 | − | 4.99131i | 0.327226 | − | 0.188924i | ||||
\(699\) | −0.503391 | − | 0.871899i | −0.0190400 | − | 0.0329782i | ||||
\(700\) | −28.4679 | − | 15.3818i | −1.07599 | − | 0.581376i | ||||
\(701\) | 40.4604i | 1.52817i | 0.645116 | + | 0.764085i | \(0.276809\pi\) | ||||
−0.645116 | + | 0.764085i | \(0.723191\pi\) | |||||||
\(702\) | 1.70231 | − | 42.2344i | 0.0642494 | − | 1.59404i | ||||
\(703\) | −34.1226 | + | 19.7007i | −1.28696 | + | 0.743026i | ||||
\(704\) | 9.08187 | − | 2.43348i | 0.342286 | − | 0.0917153i | ||||
\(705\) | 5.89889i | 0.222165i | ||||||||
\(706\) | 18.7808 | − | 32.5294i | 0.706826 | − | 1.22426i | ||||
\(707\) | 0.912077 | + | 32.3140i | 0.0343022 | + | 1.21529i | ||||
\(708\) | 10.2857 | − | 2.75606i | 0.386562 | − | 0.103579i | ||||
\(709\) | 37.1048 | + | 9.94221i | 1.39350 | + | 0.373388i | 0.876007 | − | 0.482299i | \(-0.160198\pi\) |
0.517495 | + | 0.855686i | \(0.326865\pi\) | |||||||
\(710\) | 14.5355 | − | 54.2473i | 0.545508 | − | 2.03587i | ||||
\(711\) | −27.9013 | −1.04638 | ||||||||
\(712\) | −18.9782 | −0.711237 | ||||||||
\(713\) | −6.38851 | + | 23.8422i | −0.239252 | + | 0.892899i | ||||
\(714\) | −15.3357 | − | 14.4938i | −0.573924 | − | 0.542415i | ||||
\(715\) | 2.37530 | − | 7.62239i | 0.0888310 | − | 0.285061i | ||||
\(716\) | −20.5219 | + | 35.5449i | −0.766938 | + | 1.32837i | ||||
\(717\) | 2.86213 | + | 10.6816i | 0.106888 | + | 0.398912i | ||||
\(718\) | −17.6707 | + | 30.6065i | −0.659464 | + | 1.14223i | ||||
\(719\) | −21.3049 | − | 36.9012i | −0.794540 | − | 1.37618i | −0.923131 | − | 0.384486i | \(-0.874379\pi\) |
0.128591 | − | 0.991698i | \(-0.458955\pi\) | |||||||
\(720\) | −5.08160 | + | 5.08160i | −0.189380 | + | 0.189380i | ||||
\(721\) | −0.0519072 | − | 1.83902i | −0.00193313 | − | 0.0684887i | ||||
\(722\) | 1.74118 | + | 6.49816i | 0.0647999 | + | 0.241836i | ||||
\(723\) | 2.07095 | + | 7.72888i | 0.0770193 | + | 0.287440i | ||||
\(724\) | − | 56.2974i | − | 2.09227i | ||||||
\(725\) | −20.2177 | − | 11.6727i | −0.750865 | − | 0.433512i | ||||
\(726\) | −18.1842 | − | 18.1842i | −0.674878 | − | 0.674878i | ||||
\(727\) | −23.6095 | −0.875628 | −0.437814 | − | 0.899066i | \(-0.644247\pi\) | ||||
−0.437814 | + | 0.899066i | \(0.644247\pi\) | |||||||
\(728\) | 9.45821 | + | 16.8484i | 0.350545 | + | 0.624442i | ||||
\(729\) | −18.5547 | −0.687210 | ||||||||
\(730\) | 29.9230 | + | 29.9230i | 1.10750 | + | 1.10750i | ||||
\(731\) | −18.6005 | − | 10.7390i | −0.687964 | − | 0.397196i | ||||
\(732\) | 23.5072i | 0.868851i | ||||||||
\(733\) | −6.59668 | − | 24.6192i | −0.243654 | − | 0.909329i | −0.974055 | − | 0.226311i | \(-0.927334\pi\) |
0.730401 | − | 0.683018i | \(-0.239333\pi\) | |||||||
\(734\) | 13.7731 | + | 51.4019i | 0.508374 | + | 1.89728i | ||||
\(735\) | −17.5500 | − | 15.6730i | −0.647341 | − | 0.578109i | ||||
\(736\) | 29.6054 | − | 29.6054i | 1.09127 | − | 1.09127i | ||||
\(737\) | 2.37178 | + | 4.10805i | 0.0873658 | + | 0.151322i | ||||
\(738\) | −5.00838 | + | 8.67477i | −0.184361 | + | 0.319323i | ||||
\(739\) | 7.03335 | + | 26.2488i | 0.258726 | + | 0.965579i | 0.965979 | + | 0.258619i | \(0.0832673\pi\) |
−0.707253 | + | 0.706960i | \(0.750066\pi\) | |||||||
\(740\) | −43.5689 | + | 75.4636i | −1.60163 | + | 2.77410i | ||||
\(741\) | −15.9548 | − | 0.643077i | −0.586114 | − | 0.0236240i | ||||
\(742\) | −11.3065 | − | 37.8863i | −0.415074 | − | 1.39085i | ||||
\(743\) | −7.41429 | + | 27.6705i | −0.272004 | + | 1.01513i | 0.685818 | + | 0.727773i | \(0.259444\pi\) |
−0.957823 | + | 0.287360i | \(0.907222\pi\) | |||||||
\(744\) | 9.28581 | 0.340434 | ||||||||
\(745\) | 3.77338 | 0.138246 | ||||||||
\(746\) | 8.23182 | − | 30.7216i | 0.301388 | − | 1.12480i | ||||
\(747\) | −25.2211 | − | 6.75797i | −0.922791 | − | 0.247261i | ||||
\(748\) | 6.67064 | − | 1.78739i | 0.243903 | − | 0.0653535i | ||||
\(749\) | −31.0866 | + | 19.1372i | −1.13588 | + | 0.699257i | ||||
\(750\) | −2.99018 | + | 5.17915i | −0.109186 | + | 0.189116i | ||||
\(751\) | − | 19.8037i | − | 0.722648i | −0.932440 | − | 0.361324i | \(-0.882325\pi\) | ||
0.932440 | − | 0.361324i | \(-0.117675\pi\) | |||||||
\(752\) | −2.26744 | + | 0.607558i | −0.0826849 | + | 0.0221554i | ||||
\(753\) | −5.61959 | + | 3.24447i | −0.204789 | + | 0.118235i | ||||
\(754\) | 20.6579 | + | 39.3611i | 0.752317 | + | 1.43345i | ||||
\(755\) | 2.25068i | 0.0819105i | ||||||||
\(756\) | 34.7186 | − | 21.3730i | 1.26270 | − | 0.777330i | ||||
\(757\) | 16.3218 | + | 28.2703i | 0.593228 | + | 1.02750i | 0.993794 | + | 0.111233i | \(0.0354799\pi\) |
−0.400567 | + | 0.916268i | \(0.631187\pi\) | |||||||
\(758\) | 16.2320 | − | 9.37155i | 0.589573 | − | 0.340390i | ||||
\(759\) | 4.66481 | + | 1.24993i | 0.169322 | + | 0.0453697i | ||||
\(760\) | −17.3551 | − | 17.3551i | −0.629535 | − | 0.629535i | ||||
\(761\) | −6.44626 | + | 24.0578i | −0.233677 | + | 0.872094i | 0.745064 | + | 0.666993i | \(0.232419\pi\) |
−0.978741 | + | 0.205101i | \(0.934248\pi\) | |||||||
\(762\) | 7.85244 | + | 7.85244i | 0.284464 | + | 0.284464i | ||||
\(763\) | 9.91894 | + | 33.2369i | 0.359090 | + | 1.20326i | ||||
\(764\) | 19.4123 | − | 11.2077i | 0.702312 | − | 0.405480i | ||||
\(765\) | −12.3317 | + | 12.3317i | −0.445854 | + | 0.445854i | ||||
\(766\) | −21.7705 | − | 37.7077i | −0.786601 | − | 1.36243i | ||||
\(767\) | 11.8789 | + | 0.478793i | 0.428922 | + | 0.0172882i | ||||
\(768\) | −6.15827 | − | 3.55548i | −0.222218 | − | 0.128297i | ||||
\(769\) | −52.0116 | − | 13.9365i | −1.87559 | − | 0.502562i | −0.999803 | − | 0.0198562i | \(-0.993679\pi\) |
−0.875783 | − | 0.482705i | \(-0.839654\pi\) | |||||||
\(770\) | 12.4444 | − | 3.71379i | 0.448463 | − | 0.133836i | ||||
\(771\) | 15.3351 | + | 8.85370i | 0.552279 | + | 0.318858i | ||||
\(772\) | −22.5962 | + | 6.05463i | −0.813254 | + | 0.217911i | ||||
\(773\) | 23.3186 | − | 23.3186i | 0.838711 | − | 0.838711i | −0.149979 | − | 0.988689i | \(-0.547920\pi\) |
0.988689 | + | 0.149979i | \(0.0479205\pi\) | |||||||
\(774\) | 18.3724 | − | 18.3724i | 0.660381 | − | 0.660381i | ||||
\(775\) | −16.7700 | + | 4.49352i | −0.602397 | + | 0.161412i | ||||
\(776\) | 16.1009 | + | 9.29584i | 0.577987 | + | 0.333701i | ||||
\(777\) | −19.8627 | + | 21.0165i | −0.712570 | + | 0.753963i | ||||
\(778\) | 12.0699 | + | 3.23412i | 0.432727 | + | 0.115949i | ||||
\(779\) | 8.82663 | + | 5.09606i | 0.316247 | + | 0.182585i | ||||
\(780\) | −31.2686 | + | 16.4107i | −1.11959 | + | 0.587597i | ||||
\(781\) | 3.04985 | + | 5.28249i | 0.109132 | + | 0.189022i | ||||
\(782\) | 30.3631 | − | 30.3631i | 1.08578 | − | 1.08578i | ||||
\(783\) | 25.4738 | − | 14.7073i | 0.910359 | − | 0.525596i | ||||
\(784\) | 4.21689 | − | 8.36018i | 0.150603 | − | 0.298578i | ||||
\(785\) | 19.3719 | + | 19.3719i | 0.691413 | + | 0.691413i | ||||
\(786\) | 8.06366 | − | 30.0940i | 0.287621 | − | 1.07342i | ||||
\(787\) | 1.78895 | + | 1.78895i | 0.0637690 | + | 0.0637690i | 0.738272 | − | 0.674503i | \(-0.235642\pi\) |
−0.674503 | + | 0.738272i | \(0.735642\pi\) | |||||||
\(788\) | −16.5937 | − | 4.44627i | −0.591126 | − | 0.158392i | ||||
\(789\) | 23.1768 | − | 13.3811i | 0.825114 | − | 0.476380i | ||||
\(790\) | 52.9406 | + | 91.6959i | 1.88354 | + | 3.26239i | ||||
\(791\) | 0.885042 | + | 31.3561i | 0.0314685 | + | 1.11490i | ||||
\(792\) | 2.61986i | 0.0930927i | ||||||||
\(793\) | −7.80799 | + | 25.0561i | −0.277270 | + | 0.889767i | ||||
\(794\) | 26.0857 | − | 15.0606i | 0.925746 | − | 0.534480i | ||||
\(795\) | 21.8885 | − | 5.86501i | 0.776305 | − | 0.208010i | ||||
\(796\) | 25.4670i | 0.902655i | ||||||||
\(797\) | −15.5118 | + | 26.8672i | −0.549456 | + | 0.951686i | 0.448855 | + | 0.893604i | \(0.351832\pi\) |
−0.998312 | + | 0.0580819i | \(0.981502\pi\) | |||||||
\(798\) | −13.6161 | − | 22.1182i | −0.482005 | − | 0.782974i | ||||
\(799\) | −5.50248 | + | 1.47439i | −0.194664 | + | 0.0521600i | ||||
\(800\) | 28.4457 | + | 7.62199i | 1.00571 | + | 0.269478i | ||||
\(801\) | −4.29606 | + | 16.0331i | −0.151794 | + | 0.566503i | ||||
\(802\) | −17.4653 | −0.616722 | ||||||||
\(803\) | −4.59614 | −0.162194 | ||||||||
\(804\) | 5.43031 | − | 20.2662i | 0.191512 | − | 0.714734i | ||||
\(805\) | 32.8891 | − | 34.7996i | 1.15919 | − | 1.22653i | ||||
\(806\) | 31.5619 | + | 9.83535i | 1.11172 | + | 0.346435i | ||||
\(807\) | 16.3418 | − | 28.3047i | 0.575257 | − | 0.996374i | ||||
\(808\) | 6.40521 | + | 23.9046i | 0.225335 | + | 0.840960i | ||||
\(809\) | −1.72648 | + | 2.99036i | −0.0607000 | + | 0.105135i | −0.894778 | − | 0.446510i | \(-0.852667\pi\) |
0.834079 | + | 0.551646i | \(0.186000\pi\) | |||||||
\(810\) | 1.83939 | + | 3.18592i | 0.0646296 | + | 0.111942i | ||||
\(811\) | 27.5137 | − | 27.5137i | 0.966135 | − | 0.966135i | −0.0333099 | − | 0.999445i | \(-0.510605\pi\) |
0.999445 | + | 0.0333099i | \(0.0106048\pi\) | |||||||
\(812\) | −20.3821 | + | 37.7222i | −0.715270 | + | 1.32379i | ||||
\(813\) | 0.245352 | + | 0.915666i | 0.00860487 | + | 0.0321138i | ||||
\(814\) | −4.13084 | − | 15.4165i | −0.144786 | − | 0.540349i | ||||
\(815\) | 6.91931i | 0.242373i | ||||||||
\(816\) | 4.16791 | + | 2.40634i | 0.145906 | + | 0.0842389i | ||||
\(817\) | −18.6940 | − | 18.6940i | −0.654020 | − | 0.654020i | ||||
\(818\) | −8.40504 | −0.293875 | ||||||||
\(819\) | 16.3749 | − | 4.17654i | 0.572185 | − | 0.145940i | ||||
\(820\) | 22.5403 | 0.787141 | ||||||||
\(821\) | −12.7874 | − | 12.7874i | −0.446284 | − | 0.446284i | 0.447833 | − | 0.894117i | \(-0.352196\pi\) |
−0.894117 | + | 0.447833i | \(0.852196\pi\) | |||||||
\(822\) | 21.5731 | + | 12.4552i | 0.752448 | + | 0.434426i | ||||
\(823\) | 51.6586i | 1.80071i | 0.435159 | + | 0.900353i | \(0.356692\pi\) | ||||
−0.435159 | + | 0.900353i | \(0.643308\pi\) | |||||||
\(824\) | −0.364527 | − | 1.36043i | −0.0126989 | − | 0.0473929i | ||||
\(825\) | 0.879171 | + | 3.28111i | 0.0306088 | + | 0.114234i | ||||
\(826\) | 10.1377 | + | 16.4677i | 0.352734 | + | 0.572985i | ||||
\(827\) | 34.2663 | − | 34.2663i | 1.19156 | − | 1.19156i | 0.214927 | − | 0.976630i | \(-0.431049\pi\) |
0.976630 | − | 0.214927i | \(-0.0689514\pi\) | |||||||
\(828\) | 15.4012 | + | 26.6757i | 0.535230 | + | 0.927045i | ||||
\(829\) | −7.28433 | + | 12.6168i | −0.252995 | + | 0.438201i | −0.964349 | − | 0.264633i | \(-0.914749\pi\) |
0.711354 | + | 0.702834i | \(0.248082\pi\) | |||||||
\(830\) | 25.6455 | + | 95.7102i | 0.890167 | + | 3.32215i | ||||
\(831\) | 7.87158 | − | 13.6340i | 0.273062 | − | 0.472957i | ||||
\(832\) | −31.4816 | − | 34.1260i | −1.09143 | − | 1.18311i | ||||
\(833\) | 10.2333 | − | 20.2880i | 0.354563 | − | 0.702937i | ||||
\(834\) | 0.0462668 | − | 0.172670i | 0.00160209 | − | 0.00597907i | ||||
\(835\) | 8.55348 | 0.296005 | ||||||||
\(836\) | 8.50055 | 0.293998 | ||||||||
\(837\) | 5.66172 | − | 21.1298i | 0.195698 | − | 0.730354i | ||||
\(838\) | 7.59572 | + | 2.03527i | 0.262390 | + | 0.0703072i | ||||
\(839\) | 46.6633 | − | 12.5034i | 1.61100 | − | 0.431665i | 0.662658 | − | 0.748922i | \(-0.269428\pi\) |
0.948340 | + | 0.317257i | \(0.102762\pi\) | |||||||
\(840\) | −15.8478 | − | 8.56287i | −0.546800 | − | 0.295447i | ||||
\(841\) | −0.967215 | + | 1.67527i | −0.0333522 | + | 0.0577678i | ||||
\(842\) | 66.1993i | 2.28138i | ||||||||
\(843\) | 2.75830 | − | 0.739085i | 0.0950010 | − | 0.0254554i | ||||
\(844\) | 50.9006 | − | 29.3875i | 1.75207 | − | 1.01156i | ||||
\(845\) | −38.7797 | + | 7.10604i | −1.33406 | + | 0.244455i | ||||
\(846\) | − | 6.89130i | − | 0.236928i | ||||||
\(847\) | 13.1642 | − | 24.3638i | 0.452328 | − | 0.837149i | ||||
\(848\) | 4.50882 | + | 7.80951i | 0.154834 | + | 0.268180i | ||||
\(849\) | −18.3497 | + | 10.5942i | −0.629761 | + | 0.363593i | ||||
\(850\) | 29.1737 | + | 7.81707i | 1.00065 | + | 0.268123i | ||||
\(851\) | −41.6105 | − | 41.6105i | −1.42639 | − | 1.42639i | ||||
\(852\) | 6.98277 | − | 26.0601i | 0.239226 | − | 0.892803i | ||||
\(853\) | −36.7362 | − | 36.7362i | −1.25783 | − | 1.25783i | −0.952129 | − | 0.305696i | \(-0.901111\pi\) |
−0.305696 | − | 0.952129i | \(-0.598889\pi\) | |||||||
\(854\) | −40.9067 | + | 12.2079i | −1.39980 | + | 0.417744i | ||||
\(855\) | −18.5906 | + | 10.7333i | −0.635784 | + | 0.367070i | ||||
\(856\) | −19.7611 | + | 19.7611i | −0.675420 | + | 0.675420i | ||||
\(857\) | −3.64891 | − | 6.32009i | −0.124644 | − | 0.215890i | 0.796950 | − | 0.604046i | \(-0.206446\pi\) |
−0.921594 | + | 0.388156i | \(0.873112\pi\) | |||||||
\(858\) | 1.92432 | − | 6.17519i | 0.0656951 | − | 0.210817i | ||||
\(859\) | 35.5603 | + | 20.5307i | 1.21330 | + | 0.700500i | 0.963477 | − | 0.267791i | \(-0.0862937\pi\) |
0.249825 | + | 0.968291i | \(0.419627\pi\) | |||||||
\(860\) | −56.4750 | − | 15.1324i | −1.92578 | − | 0.516012i | ||||
\(861\) | 7.27706 | + | 1.73139i | 0.248002 | + | 0.0590056i | ||||
\(862\) | −30.9628 | − | 17.8764i | −1.05460 | − | 0.608872i | ||||
\(863\) | −52.4930 | + | 14.0655i | −1.78688 | + | 0.478794i | −0.991810 | − | 0.127720i | \(-0.959234\pi\) |
−0.795073 | + | 0.606514i | \(0.792567\pi\) | |||||||
\(864\) | −26.2373 | + | 26.2373i | −0.892612 | + | 0.892612i | ||||
\(865\) | −9.94907 | + | 9.94907i | −0.338278 | + | 0.338278i | ||||
\(866\) | −64.1468 | + | 17.1881i | −2.17980 | + | 0.584075i | ||||
\(867\) | −6.20350 | − | 3.58159i | −0.210682 | − | 0.121637i | ||||
\(868\) | 9.11859 | + | 30.5550i | 0.309505 | + | 1.03711i | ||||
\(869\) | −11.1080 | − | 2.97639i | −0.376814 | − | 0.100967i | ||||
\(870\) | −35.8902 | − | 20.7212i | −1.21679 | − | 0.702514i | ||||
\(871\) | 12.5196 | − | 19.7978i | 0.424210 | − | 0.670824i | ||||
\(872\) | 13.2767 | + | 22.9960i | 0.449606 | + | 0.778741i | ||||
\(873\) | 11.4980 | − | 11.4980i | 0.389150 | − | 0.389150i | ||||
\(874\) | 45.7736 | − | 26.4274i | 1.54832 | − | 0.893920i | ||||
\(875\) | −6.26511 | − | 1.49062i | −0.211799 | − | 0.0503922i | ||||
\(876\) | 14.3748 | + | 14.3748i | 0.485680 | + | 0.485680i | ||||
\(877\) | 11.0381 | − | 41.1947i | 0.372729 | − | 1.39105i | −0.483905 | − | 0.875121i | \(-0.660782\pi\) |
0.856634 | − | 0.515925i | \(-0.172552\pi\) | |||||||
\(878\) | −7.08357 | − | 7.08357i | −0.239059 | − | 0.239059i | ||||
\(879\) | 0.0678242 | + | 0.0181734i | 0.00228765 | + | 0.000612975i | ||||
\(880\) | −2.56516 | + | 1.48099i | −0.0864714 | + | 0.0499243i | ||||
\(881\) | 13.6175 | + | 23.5863i | 0.458786 | + | 0.794641i | 0.998897 | − | 0.0469528i | \(-0.0149510\pi\) |
−0.540111 | + | 0.841594i | \(0.681618\pi\) | |||||||
\(882\) | 20.5026 | + | 18.3098i | 0.690357 | + | 0.616524i | ||||
\(883\) | − | 21.3903i | − | 0.719842i | −0.932983 | − | 0.359921i | \(-0.882804\pi\) | ||
0.932983 | − | 0.359921i | \(-0.117196\pi\) | |||||||
\(884\) | −23.1232 | − | 25.0655i | −0.777719 | − | 0.843046i | ||||
\(885\) | −9.59855 | + | 5.54172i | −0.322652 | + | 0.186283i | ||||
\(886\) | −72.2133 | + | 19.3495i | −2.42605 | + | 0.650059i | ||||
\(887\) | − | 15.8366i | − | 0.531741i | −0.964009 | − | 0.265871i | \(-0.914341\pi\) | ||
0.964009 | − | 0.265871i | \(-0.0856594\pi\) | |||||||
\(888\) | −11.0689 | + | 19.1719i | −0.371448 | + | 0.643367i | ||||
\(889\) | −5.68468 | + | 10.5210i | −0.190658 | + | 0.352861i | ||||
\(890\) | 60.8433 | − | 16.3029i | 2.03947 | − | 0.546475i | ||||
\(891\) | −0.385941 | − | 0.103413i | −0.0129295 | − | 0.00346446i | ||||
\(892\) | −9.96864 | + | 37.2035i | −0.333775 | + | 1.24566i | ||||
\(893\) | −7.01194 | −0.234646 | ||||||||
\(894\) | 3.05696 | 0.102240 | ||||||||
\(895\) | 11.0567 | − | 41.2642i | 0.369585 | − | 1.37931i | ||||
\(896\) | 8.88743 | − | 37.3540i | 0.296908 | − | 1.24791i | ||||
\(897\) | −5.23957 | − | 23.2652i | −0.174944 | − | 0.776803i | ||||
\(898\) | −4.28190 | + | 7.41646i | −0.142889 | + | 0.247491i | ||||
\(899\) | 5.95426 | + | 22.2216i | 0.198586 | + | 0.741132i | ||||
\(900\) | −10.8328 | + | 18.7630i | −0.361095 | + | 0.625434i | ||||
\(901\) | 10.9417 | + | 18.9517i | 0.364523 | + | 0.631371i | ||||
\(902\) | −2.91931 | + | 2.91931i | −0.0972024 | + | 0.0972024i | ||||
\(903\) | −17.0704 | − | 9.22348i | −0.568067 | − | 0.306938i | ||||
\(904\) | 6.21535 | + | 23.1960i | 0.206720 | + | 0.771488i | ||||
\(905\) | 15.1659 | + | 56.5998i | 0.504131 | + | 1.88144i | ||||
\(906\) | 1.82336i | 0.0605770i | ||||||||
\(907\) | −22.5733 | − | 13.0327i | −0.749533 | − | 0.432743i | 0.0759921 | − | 0.997108i | \(-0.475788\pi\) |
−0.825525 | + | 0.564365i | \(0.809121\pi\) | |||||||
\(908\) | 15.6972 | + | 15.6972i | 0.520929 | + | 0.520929i | ||||
\(909\) | 21.6450 | 0.717919 | ||||||||
\(910\) | −44.7960 | − | 45.8903i | −1.48497 | − | 1.52125i | ||||
\(911\) | −45.9225 | −1.52148 | −0.760739 | − | 0.649057i | \(-0.775163\pi\) | ||||
−0.760739 | + | 0.649057i | \(0.775163\pi\) | |||||||
\(912\) | 4.18886 | + | 4.18886i | 0.138707 | + | 0.138707i | ||||
\(913\) | −9.32006 | − | 5.38094i | −0.308449 | − | 0.178083i | ||||
\(914\) | − | 1.15169i | − | 0.0380946i | ||||||
\(915\) | −6.33257 | − | 23.6335i | −0.209348 | − | 0.781299i | ||||
\(916\) | −22.0539 | − | 82.3063i | −0.728682 | − | 2.71948i | ||||
\(917\) | 33.5367 | − | 0.946590i | 1.10748 | − | 0.0312591i | ||||
\(918\) | −26.9088 | + | 26.9088i | −0.888124 | + | 0.888124i | ||||
\(919\) | −1.32248 | − | 2.29060i | −0.0436245 | − | 0.0755598i | 0.843389 | − | 0.537304i | \(-0.180557\pi\) |
−0.887013 | + | 0.461744i | \(0.847224\pi\) | |||||||
\(920\) | 18.3281 | − | 31.7453i | 0.604261 | − | 1.04661i | ||||
\(921\) | −1.67171 | − | 6.23890i | −0.0550846 | − | 0.205579i | ||||
\(922\) | 32.4510 | − | 56.2068i | 1.06872 | − | 1.85107i | ||||
\(923\) | 16.0988 | − | 25.4578i | 0.529898 | − | 0.837953i | ||||
\(924\) | 5.97819 | − | 1.78408i | 0.196668 | − | 0.0586919i | ||||
\(925\) | 10.7128 | − | 39.9805i | 0.352233 | − | 1.31455i | ||||
\(926\) | −47.2304 | −1.55209 | ||||||||
\(927\) | −1.23184 | −0.0404589 | ||||||||
\(928\) | 10.0997 | − | 37.6927i | 0.331540 | − | 1.23732i | ||||
\(929\) | −15.8375 | − | 4.24365i | −0.519612 | − | 0.139230i | −0.0105250 | − | 0.999945i | \(-0.503350\pi\) |
−0.509087 | + | 0.860715i | \(0.670017\pi\) | |||||||
\(930\) | −29.7700 | + | 7.97684i | −0.976195 | + | 0.261571i | ||||
\(931\) | 18.6303 | − | 20.8615i | 0.610585 | − | 0.683707i | ||||
\(932\) | 1.32333 | − | 2.29208i | 0.0433472 | − | 0.0750795i | ||||
\(933\) | 5.77975i | 0.189220i | ||||||||
\(934\) | −9.17139 | + | 2.45747i | −0.300097 | + | 0.0804108i | ||||
\(935\) | −6.22497 | + | 3.59399i | −0.203578 | + | 0.117536i | ||||
\(936\) | 11.4553 | − | 6.01210i | 0.374429 | − | 0.196512i | ||||
\(937\) | 17.9634i | 0.586840i | 0.955984 | + | 0.293420i | \(0.0947934\pi\) | ||||
−0.955984 | + | 0.293420i | \(0.905207\pi\) | |||||||
\(938\) | 38.0869 | − | 1.07502i | 1.24358 | − | 0.0351006i | ||||
\(939\) | −9.42581 | − | 16.3260i | −0.307600 | − | 0.532778i | ||||
\(940\) | −13.4296 | + | 7.75361i | −0.438027 | + | 0.252895i | ||||
\(941\) | 50.6367 | + | 13.5681i | 1.65071 | + | 0.442307i | 0.959812 | − | 0.280645i | \(-0.0905484\pi\) |
0.690899 | + | 0.722952i | \(0.257215\pi\) | |||||||
\(942\) | 15.6939 | + | 15.6939i | 0.511336 | + | 0.511336i | ||||
\(943\) | −3.93974 | + | 14.7033i | −0.128295 | + | 0.478805i | ||||
\(944\) | −3.11875 | − | 3.11875i | −0.101507 | − | 0.101507i | ||||
\(945\) | −29.1475 | + | 30.8406i | −0.948167 | + | 1.00325i | ||||
\(946\) | 9.27425 | − | 5.35449i | 0.301532 | − | 0.174090i | ||||
\(947\) | 6.25266 | − | 6.25266i | 0.203184 | − | 0.203184i | −0.598179 | − | 0.801363i | \(-0.704109\pi\) |
0.801363 | + | 0.598179i | \(0.204109\pi\) | |||||||
\(948\) | 25.4323 | + | 44.0501i | 0.826004 | + | 1.43068i | ||||
\(949\) | 10.5473 | + | 20.0966i | 0.342380 | + | 0.652363i | ||||
\(950\) | 32.1960 | + | 18.5884i | 1.04458 | + | 0.603086i | ||||
\(951\) | 4.23690 | + | 1.13527i | 0.137391 | + | 0.0368138i | ||||
\(952\) | 4.02640 | − | 16.9230i | 0.130496 | − | 0.548478i | ||||
\(953\) | −21.4513 | − | 12.3849i | −0.694877 | − | 0.401188i | 0.110559 | − | 0.993870i | \(-0.464736\pi\) |
−0.805437 | + | 0.592682i | \(0.798069\pi\) | |||||||
\(954\) | −25.5710 | + | 6.85172i | −0.827890 | + | 0.221833i | ||||
\(955\) | −16.4974 | + | 16.4974i | −0.533842 | + | 0.533842i | ||||
\(956\) | −20.5561 | + | 20.5561i | −0.664832 | + | 0.664832i | ||||
\(957\) | 4.34773 | − | 1.16497i | 0.140542 | − | 0.0376581i | ||||
\(958\) | −21.5938 | − | 12.4672i | −0.697664 | − | 0.402797i | ||||
\(959\) | −6.20900 | + | 26.0965i | −0.200499 | + | 0.842701i | ||||
\(960\) | 41.8102 | + | 11.2030i | 1.34942 | + | 0.361575i | ||||
\(961\) | −12.0301 | − | 6.94557i | −0.388067 | − | 0.224051i | ||||
\(962\) | −57.9290 | + | 53.4402i | −1.86771 | + | 1.72298i | ||||
\(963\) | 12.2213 | + | 21.1678i | 0.393825 | + | 0.682124i | ||||
\(964\) | −14.8738 | + | 14.8738i | −0.479052 | + | 0.479052i | ||||
\(965\) | 21.0865 | − | 12.1743i | 0.678799 | − | 0.391905i | ||||
\(966\) | 26.6447 | − | 28.1925i | 0.857279 | − | 0.907079i | ||||
\(967\) | 0.370336 | + | 0.370336i | 0.0119092 | + | 0.0119092i | 0.713036 | − | 0.701127i | \(-0.247319\pi\) |
−0.701127 | + | 0.713036i | \(0.747319\pi\) | |||||||
\(968\) | 5.48702 | − | 20.4778i | 0.176360 | − | 0.658183i | ||||
\(969\) | 10.1653 | + | 10.1653i | 0.326556 | + | 0.326556i | ||||
\(970\) | −59.6042 | − | 15.9709i | −1.91378 | − | 0.512795i | ||||
\(971\) | 28.8662 | − | 16.6659i | 0.926359 | − | 0.534834i | 0.0407007 | − | 0.999171i | \(-0.487041\pi\) |
0.885658 | + | 0.464338i | \(0.153708\pi\) | |||||||
\(972\) | −22.2307 | − | 38.5048i | −0.713051 | − | 1.23504i | ||||
\(973\) | 0.192423 | − | 0.00543124i | 0.00616881 | − | 0.000174118i | ||||
\(974\) | − | 15.5857i | − | 0.499398i | ||||||
\(975\) | 12.3291 | − | 11.3737i | 0.394847 | − | 0.364250i | ||||
\(976\) | 8.43210 | − | 4.86828i | 0.269905 | − | 0.155830i | ||||
\(977\) | 30.7510 | − | 8.23970i | 0.983811 | − | 0.263611i | 0.269162 | − | 0.963095i | \(-0.413253\pi\) |
0.714649 | + | 0.699484i | \(0.246587\pi\) | |||||||
\(978\) | 5.60560i | 0.179247i | ||||||||
\(979\) | −3.42068 | + | 5.92479i | −0.109325 | + | 0.189357i | ||||
\(980\) | 12.6138 | − | 60.5559i | 0.402933 | − | 1.93439i | ||||
\(981\) | 22.4329 | − | 6.01087i | 0.716226 | − | 0.191912i | ||||
\(982\) | 0.850011 | + | 0.227760i | 0.0271250 | + | 0.00726811i | ||||
\(983\) | 12.7899 | − | 47.7326i | 0.407935 | − | 1.52243i | −0.390642 | − | 0.920543i | \(-0.627747\pi\) |
0.798577 | − | 0.601892i | \(-0.205586\pi\) | |||||||
\(984\) | 5.72647 | 0.182553 | ||||||||
\(985\) | 17.8806 | 0.569724 | ||||||||
\(986\) | 10.3582 | − | 38.6574i | 0.329873 | − | 1.23110i | ||||
\(987\) | −4.93129 | + | 1.47165i | −0.156965 | + | 0.0468433i | ||||
\(988\) | −19.5072 | − | 37.1686i | −0.620607 | − | 1.18249i | ||||
\(989\) | 19.7421 | − | 34.1944i | 0.627763 | − | 1.08732i | ||||
\(990\) | −2.25055 | − | 8.39918i | −0.0715273 | − | 0.266943i | ||||
\(991\) | −21.3389 | + | 36.9601i | −0.677853 | + | 1.17408i | 0.297774 | + | 0.954637i | \(0.403756\pi\) |
−0.975626 | + | 0.219439i | \(0.929577\pi\) | |||||||
\(992\) | −14.5102 | − | 25.1324i | −0.460699 | − | 0.797955i | ||||
\(993\) | −10.5083 | + | 10.5083i | −0.333472 | + | 0.333472i | ||||
\(994\) | 48.9754 | − | 1.38235i | 1.55341 | − | 0.0438456i | ||||
\(995\) | −6.86053 | − | 25.6038i | −0.217493 | − | 0.811696i | ||||
\(996\) | 12.3199 | + | 45.9786i | 0.390372 | + | 1.45689i | ||||
\(997\) | 5.47320i | 0.173338i | 0.996237 | + | 0.0866689i | \(0.0276222\pi\) | ||||
−0.996237 | + | 0.0866689i | \(0.972378\pi\) | |||||||
\(998\) | −3.79644 | − | 2.19188i | −0.120174 | − | 0.0693826i | ||||
\(999\) | 36.8767 | + | 36.8767i | 1.16673 | + | 1.16673i |
(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 | 91.2.ba.a.89.1 | yes | 28 | |
3.2 | odd | 2 | 819.2.et.b.271.7 | 28 | |||
7.2 | even | 3 | 637.2.bd.b.440.1 | 28 | |||
7.3 | odd | 6 | 91.2.w.a.24.7 | yes | 28 | ||
7.4 | even | 3 | 637.2.x.a.570.7 | 28 | |||
7.5 | odd | 6 | 637.2.bd.a.440.1 | 28 | |||
7.6 | odd | 2 | 637.2.bb.a.362.1 | 28 | |||
13.6 | odd | 12 | 91.2.w.a.19.7 | ✓ | 28 | ||
21.17 | even | 6 | 819.2.gh.b.388.1 | 28 | |||
39.32 | even | 12 | 819.2.gh.b.19.1 | 28 | |||
91.6 | even | 12 | 637.2.x.a.19.7 | 28 | |||
91.19 | even | 12 | 637.2.bd.b.97.1 | 28 | |||
91.32 | odd | 12 | 637.2.bb.a.227.1 | 28 | |||
91.45 | even | 12 | inner | 91.2.ba.a.45.1 | yes | 28 | |
91.58 | odd | 12 | 637.2.bd.a.97.1 | 28 | |||
273.227 | odd | 12 | 819.2.et.b.136.7 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.w.a.19.7 | ✓ | 28 | 13.6 | odd | 12 | ||
91.2.w.a.24.7 | yes | 28 | 7.3 | odd | 6 | ||
91.2.ba.a.45.1 | yes | 28 | 91.45 | even | 12 | inner | |
91.2.ba.a.89.1 | yes | 28 | 1.1 | even | 1 | trivial | |
637.2.x.a.19.7 | 28 | 91.6 | even | 12 | |||
637.2.x.a.570.7 | 28 | 7.4 | even | 3 | |||
637.2.bb.a.227.1 | 28 | 91.32 | odd | 12 | |||
637.2.bb.a.362.1 | 28 | 7.6 | odd | 2 | |||
637.2.bd.a.97.1 | 28 | 91.58 | odd | 12 | |||
637.2.bd.a.440.1 | 28 | 7.5 | odd | 6 | |||
637.2.bd.b.97.1 | 28 | 91.19 | even | 12 | |||
637.2.bd.b.440.1 | 28 | 7.2 | even | 3 | |||
819.2.et.b.136.7 | 28 | 273.227 | odd | 12 | |||
819.2.et.b.271.7 | 28 | 3.2 | odd | 2 | |||
819.2.gh.b.19.1 | 28 | 39.32 | even | 12 | |||
819.2.gh.b.388.1 | 28 | 21.17 | even | 6 |