Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(15,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([5, 42]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.15");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.cb (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(576\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 15.20 | ||
Character | \(\chi\) | \(=\) | 403.15 |
Dual form | 403.2.cb.a.215.20 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.185296 | − | 0.0711283i | 0.131024 | − | 0.0502953i | −0.291973 | − | 0.956427i | \(-0.594312\pi\) |
0.422996 | + | 0.906131i | \(0.360978\pi\) | |||||||
\(3\) | 3.02116 | + | 0.317537i | 1.74427 | + | 0.183330i | 0.922372 | − | 0.386304i | \(-0.126248\pi\) |
0.821898 | + | 0.569634i | \(0.192915\pi\) | |||||||
\(4\) | −1.45701 | + | 1.31190i | −0.728507 | + | 0.655951i | ||||
\(5\) | 0.944103 | − | 0.944103i | 0.422216 | − | 0.422216i | −0.463750 | − | 0.885966i | \(-0.653497\pi\) |
0.885966 | + | 0.463750i | \(0.153497\pi\) | |||||||
\(6\) | 0.582394 | − | 0.156052i | 0.237762 | − | 0.0637080i | ||||
\(7\) | −0.137953 | + | 2.63230i | −0.0521414 | + | 0.994917i | 0.839837 | + | 0.542839i | \(0.182651\pi\) |
−0.891978 | + | 0.452078i | \(0.850683\pi\) | |||||||
\(8\) | −0.356880 | + | 0.700416i | −0.126176 | + | 0.247634i | ||||
\(9\) | 6.09216 | + | 1.29493i | 2.03072 | + | 0.431643i | ||||
\(10\) | 0.107786 | − | 0.242091i | 0.0340848 | − | 0.0765558i | ||||
\(11\) | 1.24755 | − | 1.92107i | 0.376152 | − | 0.579223i | −0.599003 | − | 0.800747i | \(-0.704436\pi\) |
0.975155 | + | 0.221524i | \(0.0711030\pi\) | |||||||
\(12\) | −4.81846 | + | 3.50081i | −1.39097 | + | 1.01060i | ||||
\(13\) | −3.14118 | + | 1.77002i | −0.871208 | + | 0.490914i | ||||
\(14\) | 0.161669 | + | 0.497567i | 0.0432079 | + | 0.132980i | ||||
\(15\) | 3.15208 | − | 2.55250i | 0.813863 | − | 0.659053i | ||||
\(16\) | 0.393569 | − | 3.74456i | 0.0983924 | − | 0.936141i | ||||
\(17\) | −4.84922 | − | 1.03073i | −1.17611 | − | 0.249989i | −0.421911 | − | 0.906637i | \(-0.638640\pi\) |
−0.754197 | + | 0.656648i | \(0.771974\pi\) | |||||||
\(18\) | 1.22096 | − | 0.193381i | 0.287782 | − | 0.0455802i | ||||
\(19\) | 3.04259 | + | 2.46384i | 0.698018 | + | 0.565244i | 0.911298 | − | 0.411747i | \(-0.135081\pi\) |
−0.213280 | + | 0.976991i | \(0.568415\pi\) | |||||||
\(20\) | −0.137001 | + | 2.61414i | −0.0306344 | + | 0.584540i | ||||
\(21\) | −1.25263 | + | 7.90881i | −0.273347 | + | 1.72584i | ||||
\(22\) | 0.0945242 | − | 0.444702i | 0.0201526 | − | 0.0948107i | ||||
\(23\) | 5.85611 | − | 6.50387i | 1.22108 | − | 1.35615i | 0.306438 | − | 0.951891i | \(-0.400863\pi\) |
0.914645 | − | 0.404259i | \(-0.132471\pi\) | |||||||
\(24\) | −1.30060 | + | 2.00275i | −0.265484 | + | 0.408809i | ||||
\(25\) | 3.21734i | 0.643468i | ||||||||
\(26\) | −0.456150 | + | 0.551404i | −0.0894583 | + | 0.108139i | ||||
\(27\) | 9.32686 | + | 3.03048i | 1.79495 | + | 0.583216i | ||||
\(28\) | −3.25232 | − | 4.01628i | −0.614631 | − | 0.759006i | ||||
\(29\) | 1.91654 | − | 4.30461i | 0.355892 | − | 0.799346i | −0.643533 | − | 0.765419i | \(-0.722532\pi\) |
0.999424 | − | 0.0339271i | \(-0.0108014\pi\) | |||||||
\(30\) | 0.402511 | − | 0.697170i | 0.0734881 | − | 0.127285i | ||||
\(31\) | −3.31789 | − | 4.47120i | −0.595910 | − | 0.803051i | ||||
\(32\) | −0.600331 | − | 2.24046i | −0.106124 | − | 0.396062i | ||||
\(33\) | 4.37908 | − | 5.40771i | 0.762299 | − | 0.941361i | ||||
\(34\) | −0.971853 | + | 0.153926i | −0.166671 | + | 0.0263982i | ||||
\(35\) | 2.35492 | + | 2.61541i | 0.398055 | + | 0.442084i | ||||
\(36\) | −10.5752 | + | 6.10559i | −1.76253 | + | 1.01760i | ||||
\(37\) | −5.19262 | − | 1.39136i | −0.853662 | − | 0.228738i | −0.194652 | − | 0.980872i | \(-0.562358\pi\) |
−0.659010 | + | 0.752134i | \(0.729024\pi\) | |||||||
\(38\) | 0.739027 | + | 0.240125i | 0.119886 | + | 0.0389533i | ||||
\(39\) | −10.0521 | + | 4.35007i | −1.60962 | + | 0.696568i | ||||
\(40\) | 0.324334 | + | 0.998196i | 0.0512816 | + | 0.157829i | ||||
\(41\) | −5.77871 | + | 2.21824i | −0.902483 | + | 0.346431i | −0.764967 | − | 0.644069i | \(-0.777245\pi\) |
−0.137515 | + | 0.990500i | \(0.543912\pi\) | |||||||
\(42\) | 0.330433 | + | 1.55457i | 0.0509870 | + | 0.239875i | ||||
\(43\) | 0.927437 | + | 8.82397i | 0.141433 | + | 1.34564i | 0.803099 | + | 0.595845i | \(0.203183\pi\) |
−0.661667 | + | 0.749798i | \(0.730151\pi\) | |||||||
\(44\) | 0.702544 | + | 4.43569i | 0.105913 | + | 0.668705i | ||||
\(45\) | 6.97417 | − | 4.52908i | 1.03965 | − | 0.675155i | ||||
\(46\) | 0.622502 | − | 1.62167i | 0.0917829 | − | 0.239103i | ||||
\(47\) | −1.74450 | − | 11.0144i | −0.254462 | − | 1.60661i | −0.701887 | − | 0.712288i | \(-0.747659\pi\) |
0.447425 | − | 0.894322i | \(-0.352341\pi\) | |||||||
\(48\) | 2.37808 | − | 11.1880i | 0.343246 | − | 1.61484i | ||||
\(49\) | 0.0516673 | + | 0.00543045i | 0.00738104 | + | 0.000775779i | ||||
\(50\) | 0.228844 | + | 0.596159i | 0.0323634 | + | 0.0843096i | ||||
\(51\) | −14.3230 | − | 4.65382i | −2.00562 | − | 0.651665i | ||||
\(52\) | 2.25466 | − | 6.69987i | 0.312666 | − | 0.929104i | ||||
\(53\) | 8.84669 | − | 2.87446i | 1.21519 | − | 0.394838i | 0.369860 | − | 0.929088i | \(-0.379406\pi\) |
0.845327 | + | 0.534250i | \(0.179406\pi\) | |||||||
\(54\) | 1.94378 | − | 0.101869i | 0.264515 | − | 0.0138626i | ||||
\(55\) | −0.635864 | − | 2.99150i | −0.0857398 | − | 0.403374i | ||||
\(56\) | −1.79447 | − | 1.03604i | −0.239797 | − | 0.138447i | ||||
\(57\) | 8.40980 | + | 8.40980i | 1.11391 | + | 1.11391i | ||||
\(58\) | 0.0489460 | − | 0.933945i | 0.00642692 | − | 0.122633i | ||||
\(59\) | −10.4655 | − | 4.01734i | −1.36249 | − | 0.523012i | −0.436212 | − | 0.899844i | \(-0.643680\pi\) |
−0.926282 | + | 0.376831i | \(0.877014\pi\) | |||||||
\(60\) | −1.24399 | + | 7.85425i | −0.160599 | + | 1.01398i | ||||
\(61\) | 4.27869 | + | 2.47030i | 0.547830 | + | 0.316290i | 0.748246 | − | 0.663421i | \(-0.230896\pi\) |
−0.200417 | + | 0.979711i | \(0.564230\pi\) | |||||||
\(62\) | −0.932819 | − | 0.592498i | −0.118468 | − | 0.0752473i | ||||
\(63\) | −4.24908 | + | 15.8578i | −0.535333 | + | 1.99789i | ||||
\(64\) | 4.15565 | + | 5.71976i | 0.519456 | + | 0.714970i | ||||
\(65\) | −1.29452 | + | 4.63668i | −0.160566 | + | 0.575109i | ||||
\(66\) | 0.426782 | − | 1.31350i | 0.0525333 | − | 0.161681i | ||||
\(67\) | 6.40226 | + | 1.71548i | 0.782160 | + | 0.209579i | 0.627737 | − | 0.778426i | \(-0.283981\pi\) |
0.154423 | + | 0.988005i | \(0.450648\pi\) | |||||||
\(68\) | 8.41760 | − | 4.85990i | 1.02078 | − | 0.589350i | ||||
\(69\) | 19.7575 | − | 17.7897i | 2.37852 | − | 2.14163i | ||||
\(70\) | 0.622386 | + | 0.317122i | 0.0743894 | + | 0.0379033i | ||||
\(71\) | −4.91602 | + | 3.19250i | −0.583425 | + | 0.378880i | −0.802343 | − | 0.596863i | \(-0.796414\pi\) |
0.218919 | + | 0.975743i | \(0.429747\pi\) | |||||||
\(72\) | −3.08116 | + | 3.80491i | −0.363118 | + | 0.448413i | ||||
\(73\) | −5.38988 | − | 10.5782i | −0.630837 | − | 1.23809i | −0.956260 | − | 0.292519i | \(-0.905507\pi\) |
0.325422 | − | 0.945569i | \(-0.394493\pi\) | |||||||
\(74\) | −1.06114 | + | 0.111530i | −0.123355 | + | 0.0129651i | ||||
\(75\) | −1.02162 | + | 9.72011i | −0.117967 | + | 1.12238i | ||||
\(76\) | −7.66541 | + | 0.401727i | −0.879283 | + | 0.0460813i | ||||
\(77\) | 4.88472 | + | 3.54896i | 0.556666 | + | 0.404441i | ||||
\(78\) | −1.55319 | + | 1.52104i | −0.175865 | + | 0.172223i | ||||
\(79\) | −4.69697 | + | 1.52614i | −0.528451 | + | 0.171704i | −0.561077 | − | 0.827764i | \(-0.689613\pi\) |
0.0326263 | + | 0.999468i | \(0.489613\pi\) | |||||||
\(80\) | −3.16368 | − | 3.90682i | −0.353711 | − | 0.436796i | ||||
\(81\) | 10.1463 | + | 4.51741i | 1.12736 | + | 0.501934i | ||||
\(82\) | −0.912990 | + | 0.822060i | −0.100823 | + | 0.0907813i | ||||
\(83\) | 5.80050 | + | 0.918709i | 0.636688 | + | 0.100841i | 0.466430 | − | 0.884558i | \(-0.345540\pi\) |
0.170258 | + | 0.985400i | \(0.445540\pi\) | |||||||
\(84\) | −8.55048 | − | 13.1666i | −0.932934 | − | 1.43659i | ||||
\(85\) | −5.55128 | + | 3.60504i | −0.602121 | + | 0.391022i | ||||
\(86\) | 0.799484 | + | 1.56908i | 0.0862106 | + | 0.169198i | ||||
\(87\) | 7.15704 | − | 12.3964i | 0.767315 | − | 1.32903i | ||||
\(88\) | 0.900318 | + | 1.55940i | 0.0959742 | + | 0.166232i | ||||
\(89\) | −4.69500 | + | 7.22967i | −0.497669 | + | 0.766343i | −0.994856 | − | 0.101300i | \(-0.967700\pi\) |
0.497187 | + | 0.867644i | \(0.334366\pi\) | |||||||
\(90\) | 0.970138 | − | 1.33528i | 0.102262 | − | 0.140751i | ||||
\(91\) | −4.22588 | − | 8.51273i | −0.442993 | − | 0.892376i | ||||
\(92\) | 17.1589i | 1.78893i | ||||||||
\(93\) | −8.60411 | − | 14.5618i | −0.892205 | − | 1.50999i | ||||
\(94\) | −1.10668 | − | 1.91683i | −0.114146 | − | 0.197706i | ||||
\(95\) | 5.19864 | − | 0.546399i | 0.533369 | − | 0.0560593i | ||||
\(96\) | −1.10227 | − | 6.95944i | −0.112500 | − | 0.710295i | ||||
\(97\) | −10.5983 | − | 0.555436i | −1.07610 | − | 0.0563959i | −0.493959 | − | 0.869485i | \(-0.664451\pi\) |
−0.582139 | + | 0.813089i | \(0.697784\pi\) | |||||||
\(98\) | 0.00995998 | − | 0.00266877i | 0.00100611 | − | 0.000269586i | ||||
\(99\) | 10.0879 | − | 10.0879i | 1.01388 | − | 1.01388i | ||||
\(100\) | −4.22083 | − | 4.68771i | −0.422083 | − | 0.468771i | ||||
\(101\) | −0.814056 | − | 0.732979i | −0.0810016 | − | 0.0729341i | 0.627635 | − | 0.778507i | \(-0.284023\pi\) |
−0.708637 | + | 0.705573i | \(0.750690\pi\) | |||||||
\(102\) | −2.98501 | + | 0.156438i | −0.295560 | + | 0.0154896i | ||||
\(103\) | −2.52508 | − | 3.47547i | −0.248803 | − | 0.342449i | 0.666288 | − | 0.745694i | \(-0.267882\pi\) |
−0.915092 | + | 0.403246i | \(0.867882\pi\) | |||||||
\(104\) | −0.118723 | − | 2.83182i | −0.0116417 | − | 0.277683i | ||||
\(105\) | 6.28412 | + | 8.64935i | 0.613267 | + | 0.844090i | ||||
\(106\) | 1.43480 | − | 1.16188i | 0.139360 | − | 0.112851i | ||||
\(107\) | −5.16641 | + | 5.73788i | −0.499456 | + | 0.554702i | −0.939177 | − | 0.343432i | \(-0.888410\pi\) |
0.439722 | + | 0.898134i | \(0.355077\pi\) | |||||||
\(108\) | −17.5651 | + | 7.82047i | −1.69020 | + | 0.752525i | ||||
\(109\) | −1.13682 | + | 0.180055i | −0.108888 | + | 0.0172461i | −0.210641 | − | 0.977564i | \(-0.567555\pi\) |
0.101753 | + | 0.994810i | \(0.467555\pi\) | |||||||
\(110\) | −0.330603 | − | 0.509085i | −0.0315218 | − | 0.0485393i | ||||
\(111\) | −15.2460 | − | 5.85238i | −1.44708 | − | 0.555483i | ||||
\(112\) | 9.80253 | + | 1.55257i | 0.926252 | + | 0.146704i | ||||
\(113\) | 1.70566 | + | 1.89433i | 0.160455 | + | 0.178203i | 0.818011 | − | 0.575202i | \(-0.195077\pi\) |
−0.657557 | + | 0.753405i | \(0.728410\pi\) | |||||||
\(114\) | 2.15647 | + | 0.960124i | 0.201972 | + | 0.0899239i | ||||
\(115\) | −0.611551 | − | 11.6691i | −0.0570274 | − | 1.08815i | ||||
\(116\) | 2.85480 | + | 8.78618i | 0.265062 | + | 0.815777i | ||||
\(117\) | −21.4286 | + | 6.71562i | −1.98108 | + | 0.620859i | ||||
\(118\) | −2.22496 | −0.204824 | ||||||||
\(119\) | 3.38217 | − | 12.6224i | 0.310043 | − | 1.15709i | ||||
\(120\) | 0.662901 | + | 3.11870i | 0.0605143 | + | 0.284697i | ||||
\(121\) | 2.34000 | + | 5.25573i | 0.212728 | + | 0.477794i | ||||
\(122\) | 0.968530 | + | 0.153400i | 0.0876866 | + | 0.0138882i | ||||
\(123\) | −18.1628 | + | 4.86671i | −1.63768 | + | 0.438816i | ||||
\(124\) | 10.7000 | + | 2.16186i | 0.960887 | + | 0.194141i | ||||
\(125\) | 7.75801 | + | 7.75801i | 0.693898 | + | 0.693898i | ||||
\(126\) | 0.340601 | + | 3.24061i | 0.0303432 | + | 0.288696i | ||||
\(127\) | 1.08434 | − | 10.3168i | 0.0962200 | − | 0.915472i | −0.834812 | − | 0.550535i | \(-0.814424\pi\) |
0.931032 | − | 0.364937i | \(-0.118910\pi\) | |||||||
\(128\) | 5.06745 | + | 3.29084i | 0.447904 | + | 0.290872i | ||||
\(129\) | 26.9532i | 2.37309i | ||||||||
\(130\) | 0.0899297 | + | 0.951234i | 0.00788735 | + | 0.0834287i | ||||
\(131\) | −4.51662 | + | 13.9007i | −0.394619 | + | 1.21451i | 0.534639 | + | 0.845081i | \(0.320448\pi\) |
−0.929258 | + | 0.369432i | \(0.879552\pi\) | |||||||
\(132\) | 0.714005 | + | 13.6240i | 0.0621462 | + | 1.18582i | ||||
\(133\) | −6.90531 | + | 7.66912i | −0.598766 | + | 0.664997i | ||||
\(134\) | 1.30833 | − | 0.137511i | 0.113022 | − | 0.0118791i | ||||
\(135\) | 11.6666 | − | 5.94443i | 1.00410 | − | 0.511615i | ||||
\(136\) | 2.45253 | − | 3.02862i | 0.210303 | − | 0.259702i | ||||
\(137\) | −0.854635 | + | 2.22640i | −0.0730164 | + | 0.190214i | −0.965232 | − | 0.261396i | \(-0.915817\pi\) |
0.892215 | + | 0.451611i | \(0.149150\pi\) | |||||||
\(138\) | 2.39562 | − | 4.70167i | 0.203929 | − | 0.400233i | ||||
\(139\) | −6.93926 | − | 15.5858i | −0.588580 | − | 1.32197i | −0.924895 | − | 0.380223i | \(-0.875847\pi\) |
0.336315 | − | 0.941750i | \(-0.390819\pi\) | |||||||
\(140\) | −6.86231 | − | 0.721258i | −0.579971 | − | 0.0609574i | ||||
\(141\) | −1.77296 | − | 33.8301i | −0.149310 | − | 2.84901i | ||||
\(142\) | −0.683840 | + | 0.941226i | −0.0573866 | + | 0.0789859i | ||||
\(143\) | −0.518481 | + | 8.24261i | −0.0433576 | + | 0.689282i | ||||
\(144\) | 7.24663 | − | 22.3028i | 0.603886 | − | 1.85857i | ||||
\(145\) | −2.25459 | − | 5.87340i | −0.187233 | − | 0.487759i | ||||
\(146\) | −1.75113 | − | 1.57673i | −0.144925 | − | 0.130491i | ||||
\(147\) | 0.154371 | + | 0.0328126i | 0.0127323 | + | 0.00270634i | ||||
\(148\) | 9.39105 | − | 4.78498i | 0.771940 | − | 0.393323i | ||||
\(149\) | −2.76191 | − | 10.3076i | −0.226264 | − | 0.844429i | −0.981894 | − | 0.189431i | \(-0.939336\pi\) |
0.755630 | − | 0.654999i | \(-0.227331\pi\) | |||||||
\(150\) | 0.502073 | + | 1.87376i | 0.0409941 | + | 0.152992i | ||||
\(151\) | 7.74509 | + | 15.2006i | 0.630287 | + | 1.23701i | 0.956506 | + | 0.291713i | \(0.0942252\pi\) |
−0.326219 | + | 0.945294i | \(0.605775\pi\) | |||||||
\(152\) | −2.81155 | + | 1.25178i | −0.228047 | + | 0.101533i | ||||
\(153\) | −28.2075 | − | 12.5588i | −2.28044 | − | 1.01532i | ||||
\(154\) | 1.15755 | + | 0.310164i | 0.0932780 | + | 0.0249938i | ||||
\(155\) | −7.35370 | − | 1.08885i | −0.590663 | − | 0.0874582i | ||||
\(156\) | 8.93917 | − | 19.5255i | 0.715706 | − | 1.56329i | ||||
\(157\) | −0.0418416 | + | 0.0303997i | −0.00333932 | + | 0.00242616i | −0.589454 | − | 0.807802i | \(-0.700657\pi\) |
0.586114 | + | 0.810228i | \(0.300657\pi\) | |||||||
\(158\) | −0.761777 | + | 0.616875i | −0.0606037 | + | 0.0490759i | ||||
\(159\) | 27.6401 | − | 5.87508i | 2.19200 | − | 0.465924i | ||||
\(160\) | −2.68200 | − | 1.54846i | −0.212031 | − | 0.122416i | ||||
\(161\) | 16.3123 | + | 16.3123i | 1.28559 | + | 1.28559i | ||||
\(162\) | 2.20137 | + | 0.115369i | 0.172956 | + | 0.00906426i | ||||
\(163\) | 1.64295 | + | 2.52992i | 0.128686 | + | 0.198159i | 0.897140 | − | 0.441746i | \(-0.145641\pi\) |
−0.768455 | + | 0.639904i | \(0.778974\pi\) | |||||||
\(164\) | 5.50955 | − | 10.8131i | 0.430224 | − | 0.844362i | ||||
\(165\) | −0.971135 | − | 9.23973i | −0.0756028 | − | 0.719312i | ||||
\(166\) | 1.14015 | − | 0.242347i | 0.0884931 | − | 0.0188098i | ||||
\(167\) | −0.589039 | + | 0.226111i | −0.0455812 | + | 0.0174970i | −0.381052 | − | 0.924554i | \(-0.624438\pi\) |
0.335471 | + | 0.942051i | \(0.391105\pi\) | |||||||
\(168\) | −5.09242 | − | 3.69986i | −0.392889 | − | 0.285450i | ||||
\(169\) | 6.73408 | − | 11.1199i | 0.518006 | − | 0.855377i | ||||
\(170\) | −0.772207 | + | 1.06285i | −0.0592256 | + | 0.0815170i | ||||
\(171\) | 15.3454 | + | 18.9500i | 1.17350 | + | 1.44915i | ||||
\(172\) | −12.9275 | − | 11.6399i | −0.985711 | − | 0.887538i | ||||
\(173\) | 2.99409 | + | 6.72483i | 0.227636 | + | 0.511279i | 0.990866 | − | 0.134847i | \(-0.0430544\pi\) |
−0.763230 | + | 0.646127i | \(0.776388\pi\) | |||||||
\(174\) | 0.444436 | − | 2.80606i | 0.0336926 | − | 0.212727i | ||||
\(175\) | −8.46901 | − | 0.443842i | −0.640197 | − | 0.0335513i | ||||
\(176\) | −6.70255 | − | 5.42762i | −0.505224 | − | 0.409122i | ||||
\(177\) | −30.3424 | − | 15.4602i | −2.28067 | − | 1.16206i | ||||
\(178\) | −0.355729 | + | 1.67357i | −0.0266630 | + | 0.125440i | ||||
\(179\) | 6.06923 | − | 1.29006i | 0.453636 | − | 0.0964233i | 0.0245732 | − | 0.999698i | \(-0.492177\pi\) |
0.429063 | + | 0.903275i | \(0.358844\pi\) | |||||||
\(180\) | −4.21976 | + | 15.7484i | −0.314522 | + | 1.17381i | ||||
\(181\) | −1.55504 | −0.115585 | −0.0577927 | − | 0.998329i | \(-0.518406\pi\) | ||||
−0.0577927 | + | 0.998329i | \(0.518406\pi\) | |||||||
\(182\) | −1.38853 | − | 1.27679i | −0.102925 | − | 0.0946421i | ||||
\(183\) | 12.1422 | + | 8.82182i | 0.897577 | + | 0.652128i | ||||
\(184\) | 2.46549 | + | 6.42281i | 0.181758 | + | 0.473496i | ||||
\(185\) | −6.21596 | + | 3.58878i | −0.457006 | + | 0.263853i | ||||
\(186\) | −2.63006 | − | 2.08624i | −0.192845 | − | 0.152970i | ||||
\(187\) | −8.02977 | + | 8.02977i | −0.587195 | + | 0.587195i | ||||
\(188\) | 16.9915 | + | 13.7595i | 1.23923 | + | 1.00351i | ||||
\(189\) | −9.26381 | + | 24.1330i | −0.673843 | + | 1.75542i | ||||
\(190\) | 0.924420 | − | 0.471016i | 0.0670645 | − | 0.0341711i | ||||
\(191\) | −7.09681 | + | 12.2920i | −0.513507 | + | 0.889420i | 0.486370 | + | 0.873753i | \(0.338321\pi\) |
−0.999877 | + | 0.0156672i | \(0.995013\pi\) | |||||||
\(192\) | 10.7387 | + | 18.5999i | 0.774996 | + | 1.34233i | ||||
\(193\) | 16.5286 | + | 10.7338i | 1.18975 | + | 0.772636i | 0.978792 | − | 0.204858i | \(-0.0656733\pi\) |
0.210963 | + | 0.977494i | \(0.432340\pi\) | |||||||
\(194\) | −2.00333 | + | 0.650923i | −0.143831 | + | 0.0467335i | ||||
\(195\) | −5.38329 | + | 13.5971i | −0.385505 | + | 0.973709i | ||||
\(196\) | −0.0824042 | + | 0.0598702i | −0.00588602 | + | 0.00427644i | ||||
\(197\) | 5.47912 | + | 3.55818i | 0.390371 | + | 0.253510i | 0.724869 | − | 0.688886i | \(-0.241900\pi\) |
−0.334498 | + | 0.942396i | \(0.608567\pi\) | |||||||
\(198\) | 1.15171 | − | 2.58679i | 0.0818487 | − | 0.183835i | ||||
\(199\) | 20.7173 | − | 9.22396i | 1.46861 | − | 0.653869i | 0.492339 | − | 0.870404i | \(-0.336142\pi\) |
0.976275 | + | 0.216535i | \(0.0694754\pi\) | |||||||
\(200\) | −2.25348 | − | 1.14820i | −0.159345 | − | 0.0811902i | ||||
\(201\) | 18.7975 | + | 7.21570i | 1.32588 | + | 0.508956i | ||||
\(202\) | −0.202977 | − | 0.0779154i | −0.0142814 | − | 0.00548211i | ||||
\(203\) | 11.0666 | + | 5.63874i | 0.776726 | + | 0.395762i | ||||
\(204\) | 26.9742 | − | 12.0097i | 1.88857 | − | 0.840845i | ||||
\(205\) | −3.36145 | + | 7.54994i | −0.234774 | + | 0.527311i | ||||
\(206\) | −0.715091 | − | 0.464385i | −0.0498227 | − | 0.0323553i | ||||
\(207\) | 44.0984 | − | 32.0394i | 3.06505 | − | 2.22689i | ||||
\(208\) | 5.39167 | + | 12.4590i | 0.373845 | + | 0.863876i | ||||
\(209\) | 8.52899 | − | 2.77124i | 0.589963 | − | 0.191691i | ||||
\(210\) | 1.77963 | + | 1.15571i | 0.122806 | + | 0.0797514i | ||||
\(211\) | 12.1027 | + | 20.9625i | 0.833183 | + | 1.44312i | 0.895501 | + | 0.445059i | \(0.146817\pi\) |
−0.0623179 | + | 0.998056i | \(0.519849\pi\) | |||||||
\(212\) | −9.11874 | + | 15.7941i | −0.626278 | + | 1.08475i | ||||
\(213\) | −15.8659 | + | 8.08406i | −1.08711 | + | 0.553910i | ||||
\(214\) | −0.549187 | + | 1.43068i | −0.0375417 | + | 0.0977994i | ||||
\(215\) | 9.20633 | + | 7.45514i | 0.627867 | + | 0.508436i | ||||
\(216\) | −5.45116 | + | 5.45116i | −0.370905 | + | 0.370905i | ||||
\(217\) | 12.2273 | − | 8.11687i | 0.830041 | − | 0.551009i | ||||
\(218\) | −0.197841 | + | 0.114224i | −0.0133995 | + | 0.00773621i | ||||
\(219\) | −12.9247 | − | 33.6700i | −0.873372 | − | 2.27521i | ||||
\(220\) | 4.85102 | + | 3.52447i | 0.327056 | + | 0.237620i | ||||
\(221\) | 17.0567 | − | 5.34547i | 1.14736 | − | 0.359575i | ||||
\(222\) | −3.24128 | −0.217540 | ||||||||
\(223\) | −4.84414 | + | 18.0786i | −0.324388 | + | 1.21063i | 0.590538 | + | 0.807010i | \(0.298916\pi\) |
−0.914926 | + | 0.403622i | \(0.867751\pi\) | |||||||
\(224\) | 5.98040 | − | 1.27117i | 0.399582 | − | 0.0849338i | ||||
\(225\) | −4.16623 | + | 19.6005i | −0.277748 | + | 1.30670i | ||||
\(226\) | 0.450791 | + | 0.229690i | 0.0299862 | + | 0.0152787i | ||||
\(227\) | 11.8917 | + | 9.62973i | 0.789282 | + | 0.639148i | 0.936782 | − | 0.349914i | \(-0.113789\pi\) |
−0.147500 | + | 0.989062i | \(0.547123\pi\) | |||||||
\(228\) | −23.2860 | − | 1.22037i | −1.54216 | − | 0.0808209i | ||||
\(229\) | −1.96199 | + | 12.3875i | −0.129652 | + | 0.818592i | 0.834065 | + | 0.551666i | \(0.186008\pi\) |
−0.963717 | + | 0.266926i | \(0.913992\pi\) | |||||||
\(230\) | −0.943320 | − | 2.11873i | −0.0622007 | − | 0.139705i | ||||
\(231\) | 13.6306 | + | 12.2731i | 0.896829 | + | 0.807508i | ||||
\(232\) | 2.33104 | + | 2.87860i | 0.153041 | + | 0.188989i | ||||
\(233\) | 3.67060 | − | 5.05214i | 0.240469 | − | 0.330977i | −0.671676 | − | 0.740845i | \(-0.734425\pi\) |
0.912145 | + | 0.409868i | \(0.134425\pi\) | |||||||
\(234\) | −3.49296 | + | 2.76856i | −0.228342 | + | 0.180986i | ||||
\(235\) | −12.0457 | − | 8.75170i | −0.785774 | − | 0.570898i | ||||
\(236\) | 20.5188 | − | 7.87641i | 1.33566 | − | 0.512711i | ||||
\(237\) | −14.6749 | + | 3.11925i | −0.953239 | + | 0.202617i | ||||
\(238\) | −0.271111 | − | 2.57945i | −0.0175735 | − | 0.167201i | ||||
\(239\) | −5.86291 | + | 11.5066i | −0.379240 | + | 0.744301i | −0.999186 | − | 0.0403441i | \(-0.987155\pi\) |
0.619946 | + | 0.784645i | \(0.287155\pi\) | |||||||
\(240\) | −8.31744 | − | 12.8077i | −0.536889 | − | 0.826736i | ||||
\(241\) | −4.74181 | − | 0.248507i | −0.305447 | − | 0.0160078i | −0.101003 | − | 0.994886i | \(-0.532205\pi\) |
−0.204444 | + | 0.978878i | \(0.565538\pi\) | |||||||
\(242\) | 0.807424 | + | 0.807424i | 0.0519032 | + | 0.0519032i | ||||
\(243\) | 3.74019 | + | 2.15940i | 0.239933 | + | 0.138525i | ||||
\(244\) | −9.47490 | + | 2.01395i | −0.606568 | + | 0.128930i | ||||
\(245\) | 0.0539062 | − | 0.0436523i | 0.00344394 | − | 0.00278885i | ||||
\(246\) | −3.01933 | + | 2.19367i | −0.192505 | + | 0.139863i | ||||
\(247\) | −13.9184 | − | 2.35394i | −0.885605 | − | 0.149778i | ||||
\(248\) | 4.31579 | − | 0.728220i | 0.274053 | − | 0.0462420i | ||||
\(249\) | 17.2325 | + | 4.61745i | 1.09207 | + | 0.292619i | ||||
\(250\) | 1.98934 | + | 0.885712i | 0.125817 | + | 0.0560173i | ||||
\(251\) | −15.9859 | + | 7.11740i | −1.00902 | + | 0.449246i | −0.843597 | − | 0.536976i | \(-0.819567\pi\) |
−0.165426 | + | 0.986222i | \(0.552900\pi\) | |||||||
\(252\) | −14.6129 | − | 28.6794i | −0.920524 | − | 1.80663i | ||||
\(253\) | −5.18854 | − | 19.3639i | −0.326201 | − | 1.21740i | ||||
\(254\) | −0.532896 | − | 1.98879i | −0.0334369 | − | 0.124788i | ||||
\(255\) | −17.9161 | + | 9.12869i | −1.12195 | + | 0.571661i | ||||
\(256\) | −12.6580 | − | 2.69054i | −0.791123 | − | 0.168158i | ||||
\(257\) | 9.13180 | + | 8.22231i | 0.569626 | + | 0.512893i | 0.902851 | − | 0.429954i | \(-0.141470\pi\) |
−0.333225 | + | 0.942847i | \(0.608137\pi\) | |||||||
\(258\) | 1.91713 | + | 4.99430i | 0.119356 | + | 0.310932i | ||||
\(259\) | 4.37882 | − | 13.4766i | 0.272086 | − | 0.837396i | ||||
\(260\) | −4.19673 | − | 8.45400i | −0.260270 | − | 0.524295i | ||||
\(261\) | 17.2500 | − | 23.7426i | 1.06775 | − | 1.46963i | ||||
\(262\) | 0.151826 | + | 2.89700i | 0.00937982 | + | 0.178978i | ||||
\(263\) | 11.8385 | + | 1.24427i | 0.729990 | + | 0.0767251i | 0.462229 | − | 0.886760i | \(-0.347050\pi\) |
0.267761 | + | 0.963485i | \(0.413716\pi\) | |||||||
\(264\) | 2.22484 | + | 4.99708i | 0.136930 | + | 0.307549i | ||||
\(265\) | 5.63840 | − | 11.0660i | 0.346364 | − | 0.679778i | ||||
\(266\) | −0.734032 | + | 1.91222i | −0.0450064 | + | 0.117246i | ||||
\(267\) | −16.4801 | + | 20.3512i | −1.00856 | + | 1.24547i | ||||
\(268\) | −11.5787 | + | 5.89965i | −0.707283 | + | 0.360379i | ||||
\(269\) | 7.66234 | − | 0.805345i | 0.467181 | − | 0.0491027i | 0.131986 | − | 0.991252i | \(-0.457865\pi\) |
0.335195 | + | 0.942149i | \(0.391198\pi\) | |||||||
\(270\) | 1.73895 | − | 1.93130i | 0.105829 | − | 0.117535i | ||||
\(271\) | −0.841414 | − | 16.0551i | −0.0511123 | − | 0.975280i | −0.897031 | − | 0.441968i | \(-0.854280\pi\) |
0.845918 | − | 0.533312i | \(-0.179053\pi\) | |||||||
\(272\) | −5.76815 | + | 17.7525i | −0.349745 | + | 1.07641i | ||||
\(273\) | −10.0640 | − | 27.0602i | −0.609100 | − | 1.63776i | ||||
\(274\) | 0.473331i | 0.0285950i | ||||||||
\(275\) | 6.18072 | + | 4.01381i | 0.372711 | + | 0.242042i | ||||
\(276\) | −5.44858 | + | 51.8397i | −0.327966 | + | 3.12039i | ||||
\(277\) | 0.724584 | + | 6.89396i | 0.0435360 | + | 0.414218i | 0.994486 | + | 0.104872i | \(0.0334433\pi\) |
−0.950950 | + | 0.309346i | \(0.899890\pi\) | |||||||
\(278\) | −2.39441 | − | 2.39441i | −0.143607 | − | 0.143607i | ||||
\(279\) | −14.4232 | − | 31.5357i | −0.863495 | − | 1.88799i | ||||
\(280\) | −2.67230 | + | 0.716040i | −0.159700 | + | 0.0427916i | ||||
\(281\) | −0.956401 | − | 0.151479i | −0.0570541 | − | 0.00903648i | 0.127842 | − | 0.991795i | \(-0.459195\pi\) |
−0.184896 | + | 0.982758i | \(0.559195\pi\) | |||||||
\(282\) | −2.73480 | − | 6.14247i | −0.162855 | − | 0.365779i | ||||
\(283\) | −4.74222 | − | 22.3104i | −0.281896 | − | 1.32622i | −0.860017 | − | 0.510265i | \(-0.829547\pi\) |
0.578121 | − | 0.815951i | \(-0.303786\pi\) | |||||||
\(284\) | 2.97447 | − | 11.1009i | 0.176502 | − | 0.658715i | ||||
\(285\) | 15.8794 | 0.940617 | ||||||||
\(286\) | 0.490211 | + | 1.56420i | 0.0289868 | + | 0.0924930i | ||||
\(287\) | −5.04188 | − | 15.5173i | −0.297613 | − | 0.915959i | ||||
\(288\) | −0.756069 | − | 14.4267i | −0.0445518 | − | 0.850099i | ||||
\(289\) | 6.92223 | + | 3.08198i | 0.407190 | + | 0.181293i | ||||
\(290\) | −0.835530 | − | 0.927950i | −0.0490640 | − | 0.0544911i | ||||
\(291\) | −31.8430 | − | 5.04343i | −1.86667 | − | 0.295651i | ||||
\(292\) | 21.7307 | + | 8.34164i | 1.27169 | + | 0.488158i | ||||
\(293\) | 3.10975 | + | 4.78860i | 0.181674 | + | 0.279753i | 0.917761 | − | 0.397134i | \(-0.129995\pi\) |
−0.736087 | + | 0.676887i | \(0.763329\pi\) | |||||||
\(294\) | 0.0309382 | − | 0.00490013i | 0.00180435 | − | 0.000285781i | ||||
\(295\) | −13.6733 | + | 6.08775i | −0.796090 | + | 0.354442i | ||||
\(296\) | 2.82767 | − | 3.14045i | 0.164355 | − | 0.182535i | ||||
\(297\) | 17.4575 | − | 14.1368i | 1.01299 | − | 0.820301i | ||||
\(298\) | −1.24493 | − | 1.71350i | −0.0721168 | − | 0.0992603i | ||||
\(299\) | −6.88316 | + | 30.7952i | −0.398064 | + | 1.78094i | ||||
\(300\) | −11.2633 | − | 15.5026i | −0.650287 | − | 0.895044i | ||||
\(301\) | −23.3553 | + | 1.22400i | −1.34618 | + | 0.0705502i | ||||
\(302\) | 2.51632 | + | 2.26571i | 0.144798 | + | 0.130377i | ||||
\(303\) | −2.22665 | − | 2.47294i | −0.127918 | − | 0.142067i | ||||
\(304\) | 10.4235 | − | 10.4235i | 0.597827 | − | 0.597827i | ||||
\(305\) | 6.37174 | − | 1.70730i | 0.364845 | − | 0.0977598i | ||||
\(306\) | −6.12001 | − | 0.320736i | −0.349858 | − | 0.0183353i | ||||
\(307\) | 0.124981 | + | 0.789100i | 0.00713305 | + | 0.0450363i | 0.990998 | − | 0.133876i | \(-0.0427423\pi\) |
−0.983865 | + | 0.178912i | \(0.942742\pi\) | |||||||
\(308\) | −11.7730 | + | 1.23739i | −0.670829 | + | 0.0705069i | ||||
\(309\) | −6.52509 | − | 11.3018i | −0.371199 | − | 0.642936i | ||||
\(310\) | −1.44006 | + | 0.321298i | −0.0817897 | + | 0.0182485i | ||||
\(311\) | 18.1500i | 1.02919i | 0.857432 | + | 0.514597i | \(0.172058\pi\) | ||||
−0.857432 | + | 0.514597i | \(0.827942\pi\) | |||||||
\(312\) | 0.540527 | − | 8.59309i | 0.0306013 | − | 0.486488i | ||||
\(313\) | 13.4883 | − | 18.5651i | 0.762404 | − | 1.04936i | −0.234606 | − | 0.972090i | \(-0.575380\pi\) |
0.997010 | − | 0.0772685i | \(-0.0246199\pi\) | |||||||
\(314\) | −0.00559078 | + | 0.00860905i | −0.000315506 | + | 0.000485837i | ||||
\(315\) | 10.9598 | + | 18.9829i | 0.617515 | + | 1.06957i | ||||
\(316\) | 4.84141 | − | 8.38557i | 0.272351 | − | 0.471725i | ||||
\(317\) | −9.95996 | − | 19.5475i | −0.559407 | − | 1.09790i | −0.981521 | − | 0.191355i | \(-0.938712\pi\) |
0.422114 | − | 0.906543i | \(-0.361288\pi\) | |||||||
\(318\) | 4.70370 | − | 3.05462i | 0.263770 | − | 0.171294i | ||||
\(319\) | −5.87845 | − | 9.05202i | −0.329130 | − | 0.506816i | ||||
\(320\) | 9.32340 | + | 1.47668i | 0.521194 | + | 0.0825490i | ||||
\(321\) | −17.4306 | + | 15.6945i | −0.972879 | + | 0.875984i | ||||
\(322\) | 4.18286 | + | 1.86233i | 0.233102 | + | 0.103784i | ||||
\(323\) | −12.2146 | − | 15.0838i | −0.679639 | − | 0.839285i | ||||
\(324\) | −20.7097 | + | 6.72897i | −1.15054 | + | 0.373832i | ||||
\(325\) | −5.69474 | − | 10.1063i | −0.315888 | − | 0.560594i | ||||
\(326\) | 0.484381 | + | 0.351923i | 0.0268274 | + | 0.0194912i | ||||
\(327\) | −3.49170 | + | 0.182992i | −0.193092 | + | 0.0101195i | ||||
\(328\) | 0.508615 | − | 4.83914i | 0.0280835 | − | 0.267197i | ||||
\(329\) | 29.2338 | − | 3.07260i | 1.61171 | − | 0.169398i | ||||
\(330\) | −0.837154 | − | 1.64301i | −0.0460838 | − | 0.0904446i | ||||
\(331\) | −8.18342 | + | 10.1057i | −0.449801 | + | 0.555458i | −0.950726 | − | 0.310033i | \(-0.899660\pi\) |
0.500925 | + | 0.865491i | \(0.332993\pi\) | |||||||
\(332\) | −9.65667 | + | 6.27112i | −0.529979 | + | 0.344172i | ||||
\(333\) | −29.8326 | − | 15.2005i | −1.63482 | − | 0.832980i | ||||
\(334\) | −0.0930635 | + | 0.0837947i | −0.00509221 | + | 0.00458504i | ||||
\(335\) | 7.66398 | − | 4.42480i | 0.418728 | − | 0.241753i | ||||
\(336\) | 29.1221 | + | 7.80323i | 1.58874 | + | 0.425701i | ||||
\(337\) | −2.69233 | + | 8.28615i | −0.146661 | + | 0.451375i | −0.997221 | − | 0.0745026i | \(-0.976263\pi\) |
0.850560 | + | 0.525878i | \(0.176263\pi\) | |||||||
\(338\) | 0.456856 | − | 2.53945i | 0.0248497 | − | 0.138128i | ||||
\(339\) | 4.55156 | + | 6.26468i | 0.247207 | + | 0.340251i | ||||
\(340\) | 3.35883 | − | 12.5353i | 0.182158 | − | 0.679824i | ||||
\(341\) | −12.7287 | + | 0.795813i | −0.689298 | + | 0.0430957i | ||||
\(342\) | 4.19133 | + | 2.41987i | 0.226641 | + | 0.130851i | ||||
\(343\) | −2.90786 | + | 18.3595i | −0.157010 | + | 0.991319i | ||||
\(344\) | −6.51143 | − | 2.49951i | −0.351073 | − | 0.134764i | ||||
\(345\) | 1.85777 | − | 35.4484i | 0.100019 | − | 1.90848i | ||||
\(346\) | 1.03312 | + | 1.03312i | 0.0555407 | + | 0.0555407i | ||||
\(347\) | 11.0284 | + | 6.36725i | 0.592035 | + | 0.341812i | 0.765902 | − | 0.642958i | \(-0.222293\pi\) |
−0.173867 | + | 0.984769i | \(0.555626\pi\) | |||||||
\(348\) | 5.83489 | + | 27.4510i | 0.312783 | + | 1.47153i | ||||
\(349\) | 21.2815 | − | 1.11531i | 1.13917 | − | 0.0597014i | 0.526597 | − | 0.850115i | \(-0.323468\pi\) |
0.612573 | + | 0.790414i | \(0.290134\pi\) | |||||||
\(350\) | −1.60084 | + | 0.520145i | −0.0855685 | + | 0.0278029i | ||||
\(351\) | −34.6614 | + | 6.98939i | −1.85009 | + | 0.373066i | ||||
\(352\) | −5.05302 | − | 1.64183i | −0.269327 | − | 0.0875097i | ||||
\(353\) | 4.42476 | + | 11.5269i | 0.235506 | + | 0.613515i | 0.999497 | − | 0.0317125i | \(-0.0100961\pi\) |
−0.763991 | + | 0.645227i | \(0.776763\pi\) | |||||||
\(354\) | −6.72197 | − | 0.706508i | −0.357269 | − | 0.0375505i | ||||
\(355\) | −1.62718 | + | 7.65528i | −0.0863618 | + | 0.406300i | ||||
\(356\) | −2.64393 | − | 16.6931i | −0.140128 | − | 0.884733i | ||||
\(357\) | 14.2262 | − | 37.0604i | 0.752929 | − | 1.96145i | ||||
\(358\) | 1.03284 | − | 0.670736i | 0.0545875 | − | 0.0354495i | ||||
\(359\) | −5.14779 | − | 32.5019i | −0.271690 | − | 1.71538i | −0.625633 | − | 0.780117i | \(-0.715159\pi\) |
0.353943 | − | 0.935267i | \(-0.384841\pi\) | |||||||
\(360\) | 0.683299 | + | 6.50116i | 0.0360130 | + | 0.342641i | ||||
\(361\) | −0.763481 | − | 3.59190i | −0.0401832 | − | 0.189047i | ||||
\(362\) | −0.288143 | + | 0.110608i | −0.0151444 | + | 0.00581341i | ||||
\(363\) | 5.40064 | + | 16.6215i | 0.283460 | + | 0.872401i | ||||
\(364\) | 17.3250 | + | 6.85922i | 0.908079 | + | 0.359521i | ||||
\(365\) | −15.0755 | − | 4.89834i | −0.789089 | − | 0.256391i | ||||
\(366\) | 2.87738 | + | 0.770991i | 0.150403 | + | 0.0403004i | ||||
\(367\) | −0.213582 | + | 0.123312i | −0.0111489 | + | 0.00643681i | −0.505564 | − | 0.862789i | \(-0.668716\pi\) |
0.494415 | + | 0.869226i | \(0.335382\pi\) | |||||||
\(368\) | −22.0494 | − | 24.4883i | −1.14940 | − | 1.27654i | ||||
\(369\) | −38.0773 | + | 6.03085i | −1.98222 | + | 0.313954i | ||||
\(370\) | −0.896526 | + | 1.10712i | −0.0466081 | + | 0.0575563i | ||||
\(371\) | 6.34603 | + | 23.6837i | 0.329470 | + | 1.22960i | ||||
\(372\) | 31.6399 | + | 9.92898i | 1.64045 | + | 0.514794i | ||||
\(373\) | 5.57453 | − | 9.65537i | 0.288638 | − | 0.499936i | −0.684847 | − | 0.728687i | \(-0.740131\pi\) |
0.973485 | + | 0.228751i | \(0.0734642\pi\) | |||||||
\(374\) | −0.916737 | + | 2.05903i | −0.0474033 | + | 0.106470i | ||||
\(375\) | 20.9748 | + | 25.9017i | 1.08313 | + | 1.33756i | ||||
\(376\) | 8.33721 | + | 2.70892i | 0.429959 | + | 0.139702i | ||||
\(377\) | 1.59904 | + | 16.9139i | 0.0823546 | + | 0.871109i | ||||
\(378\) | 5.13067i | 0.263893i | ||||||||
\(379\) | −6.92152 | + | 10.6582i | −0.355534 | + | 0.547475i | −0.970507 | − | 0.241074i | \(-0.922500\pi\) |
0.614972 | + | 0.788549i | \(0.289167\pi\) | |||||||
\(380\) | −6.85767 | + | 7.61621i | −0.351791 | + | 0.390703i | ||||
\(381\) | 6.55197 | − | 30.8246i | 0.335667 | − | 1.57919i | ||||
\(382\) | −0.440696 | + | 2.78244i | −0.0225480 | + | 0.142362i | ||||
\(383\) | 0.921739 | − | 17.5878i | 0.0470986 | − | 0.898696i | −0.868273 | − | 0.496086i | \(-0.834770\pi\) |
0.915372 | − | 0.402609i | \(-0.131897\pi\) | |||||||
\(384\) | 14.2646 | + | 11.5513i | 0.727939 | + | 0.589474i | ||||
\(385\) | 7.96226 | − | 1.26110i | 0.405794 | − | 0.0642715i | ||||
\(386\) | 3.82616 | + | 0.813274i | 0.194746 | + | 0.0413946i | ||||
\(387\) | −5.77632 | + | 54.9580i | −0.293627 | + | 2.79367i | ||||
\(388\) | 16.1706 | − | 13.0947i | 0.820939 | − | 0.664783i | ||||
\(389\) | −3.91277 | − | 12.0423i | −0.198385 | − | 0.610567i | −0.999920 | − | 0.0126191i | \(-0.995983\pi\) |
0.801535 | − | 0.597947i | \(-0.204017\pi\) | |||||||
\(390\) | −0.0303598 | + | 2.90239i | −0.00153733 | + | 0.146968i | ||||
\(391\) | −35.1013 | + | 25.5026i | −1.77515 | + | 1.28972i | ||||
\(392\) | −0.0222426 | + | 0.0342506i | −0.00112342 | + | 0.00172992i | ||||
\(393\) | −18.0595 | + | 40.5622i | −0.910979 | + | 2.04609i | ||||
\(394\) | 1.26834 | + | 0.269595i | 0.0638983 | + | 0.0135820i | ||||
\(395\) | −2.99359 | + | 5.87526i | −0.150624 | + | 0.295616i | ||||
\(396\) | −1.46389 | + | 27.9327i | −0.0735632 | + | 1.40367i | ||||
\(397\) | 2.39608 | − | 0.642028i | 0.120256 | − | 0.0322224i | −0.198189 | − | 0.980164i | \(-0.563506\pi\) |
0.318445 | + | 0.947941i | \(0.396839\pi\) | |||||||
\(398\) | 3.18275 | − | 3.18275i | 0.159537 | − | 0.159537i | ||||
\(399\) | −23.2973 | + | 20.9770i | −1.16632 | + | 1.05016i | ||||
\(400\) | 12.0475 | + | 1.26625i | 0.602377 | + | 0.0633123i | ||||
\(401\) | 14.4972 | − | 5.56496i | 0.723957 | − | 0.277901i | 0.0316446 | − | 0.999499i | \(-0.489926\pi\) |
0.692312 | + | 0.721598i | \(0.256592\pi\) | |||||||
\(402\) | 3.99634 | 0.199319 | ||||||||
\(403\) | 18.3362 | + | 8.17215i | 0.913391 | + | 0.407084i | ||||
\(404\) | 2.14769 | 0.106851 | ||||||||
\(405\) | 13.8440 | − | 5.31422i | 0.687915 | − | 0.264066i | ||||
\(406\) | 2.45167 | + | 0.257681i | 0.121675 | + | 0.0127885i | ||||
\(407\) | −9.15097 | + | 8.23957i | −0.453597 | + | 0.408420i | ||||
\(408\) | 8.37119 | − | 8.37119i | 0.414436 | − | 0.414436i | ||||
\(409\) | −27.1717 | + | 7.28064i | −1.34355 | + | 0.360004i | −0.857752 | − | 0.514064i | \(-0.828139\pi\) |
−0.485803 | + | 0.874069i | \(0.661473\pi\) | |||||||
\(410\) | −0.0858474 | + | 1.63807i | −0.00423970 | + | 0.0808983i | ||||
\(411\) | −3.28896 | + | 6.45494i | −0.162232 | + | 0.318399i | ||||
\(412\) | 8.23856 | + | 1.75116i | 0.405885 | + | 0.0862734i | ||||
\(413\) | 12.0186 | − | 26.9942i | 0.591396 | − | 1.32830i | ||||
\(414\) | 5.89233 | − | 9.07340i | 0.289592 | − | 0.445933i | ||||
\(415\) | 6.34363 | − | 4.60892i | 0.311396 | − | 0.226243i | ||||
\(416\) | 5.85141 | + | 5.97512i | 0.286889 | + | 0.292954i | ||||
\(417\) | −16.0156 | − | 49.2908i | −0.784285 | − | 2.41378i | ||||
\(418\) | 1.38327 | − | 1.12015i | 0.0676580 | − | 0.0547884i | ||||
\(419\) | −0.0508007 | + | 0.483336i | −0.00248178 | + | 0.0236125i | −0.995693 | − | 0.0927148i | \(-0.970446\pi\) |
0.993211 | + | 0.116327i | \(0.0371122\pi\) | |||||||
\(420\) | −20.5031 | − | 4.35808i | −1.00045 | − | 0.212652i | ||||
\(421\) | −23.8565 | + | 3.77851i | −1.16270 | + | 0.184153i | −0.707815 | − | 0.706398i | \(-0.750319\pi\) |
−0.454883 | + | 0.890551i | \(0.650319\pi\) | |||||||
\(422\) | 3.73360 | + | 3.02341i | 0.181749 | + | 0.147177i | ||||
\(423\) | 3.63502 | − | 69.3603i | 0.176741 | − | 3.37241i | ||||
\(424\) | −1.14388 | + | 7.22220i | −0.0555519 | + | 0.350741i | ||||
\(425\) | 3.31622 | − | 15.6016i | 0.160860 | − | 0.756788i | ||||
\(426\) | −2.36487 | + | 2.62645i | −0.114578 | + | 0.127252i | ||||
\(427\) | −7.09284 | + | 10.9220i | −0.343246 | + | 0.528553i | ||||
\(428\) | − | 15.1380i | − | 0.731722i | ||||||
\(429\) | −4.18375 | + | 24.7377i | −0.201994 | + | 1.19435i | ||||
\(430\) | 2.23617 | + | 0.726574i | 0.107837 | + | 0.0350385i | ||||
\(431\) | −19.3275 | − | 23.8675i | −0.930975 | − | 1.14966i | −0.988486 | − | 0.151313i | \(-0.951650\pi\) |
0.0575113 | − | 0.998345i | \(-0.481683\pi\) | |||||||
\(432\) | 15.0186 | − | 33.7323i | 0.722582 | − | 1.62295i | ||||
\(433\) | 13.6109 | − | 23.5747i | 0.654097 | − | 1.13293i | −0.328022 | − | 0.944670i | \(-0.606382\pi\) |
0.982119 | − | 0.188260i | \(-0.0602847\pi\) | |||||||
\(434\) | 1.68832 | − | 2.37372i | 0.0810419 | − | 0.113942i | ||||
\(435\) | −4.94646 | − | 18.4604i | −0.237164 | − | 0.885110i | ||||
\(436\) | 1.42015 | − | 1.75374i | 0.0680130 | − | 0.0839890i | ||||
\(437\) | 33.8422 | − | 5.36008i | 1.61889 | − | 0.256407i | ||||
\(438\) | −4.78979 | − | 5.31960i | −0.228865 | − | 0.254180i | ||||
\(439\) | −29.2417 | + | 16.8827i | −1.39563 | + | 0.805766i | −0.993931 | − | 0.110006i | \(-0.964913\pi\) |
−0.401698 | + | 0.915772i | \(0.631580\pi\) | |||||||
\(440\) | 2.32222 | + | 0.622238i | 0.110708 | + | 0.0296640i | ||||
\(441\) | 0.307733 | + | 0.0999887i | 0.0146540 | + | 0.00476136i | ||||
\(442\) | 2.78032 | − | 2.20371i | 0.132246 | − | 0.104820i | ||||
\(443\) | 8.15115 | + | 25.0867i | 0.387273 | + | 1.19190i | 0.934818 | + | 0.355127i | \(0.115562\pi\) |
−0.547545 | + | 0.836776i | \(0.684438\pi\) | |||||||
\(444\) | 29.8913 | − | 11.4742i | 1.41858 | − | 0.544542i | ||||
\(445\) | 2.39299 | + | 11.2581i | 0.113438 | + | 0.533686i | ||||
\(446\) | 0.388301 | + | 3.69444i | 0.0183866 | + | 0.174937i | ||||
\(447\) | −5.07113 | − | 32.0179i | −0.239856 | − | 1.51439i | ||||
\(448\) | −15.6294 | + | 10.1499i | −0.738420 | + | 0.479536i | ||||
\(449\) | −5.26551 | + | 13.7171i | −0.248495 | + | 0.647350i | −0.999922 | − | 0.0124649i | \(-0.996032\pi\) |
0.751428 | + | 0.659815i | \(0.229366\pi\) | |||||||
\(450\) | 0.622171 | + | 3.92823i | 0.0293294 | + | 0.185179i | ||||
\(451\) | −2.94787 | + | 13.8687i | −0.138810 | + | 0.653049i | ||||
\(452\) | −4.97034 | − | 0.522404i | −0.233785 | − | 0.0245718i | ||||
\(453\) | 18.5724 | + | 48.3829i | 0.872609 | + | 2.27322i | ||||
\(454\) | 2.88843 | + | 0.938509i | 0.135561 | + | 0.0440464i | ||||
\(455\) | −12.0266 | − | 4.04722i | −0.563814 | − | 0.189737i | ||||
\(456\) | −8.89165 | + | 2.88907i | −0.416389 | + | 0.135293i | ||||
\(457\) | 23.5620 | − | 1.23483i | 1.10218 | − | 0.0577629i | 0.507445 | − | 0.861684i | \(-0.330590\pi\) |
0.594736 | + | 0.803921i | \(0.297257\pi\) | |||||||
\(458\) | 0.517557 | + | 2.43491i | 0.0241838 | + | 0.113776i | ||||
\(459\) | −42.1043 | − | 24.3090i | −1.96526 | − | 1.13464i | ||||
\(460\) | 16.1997 | + | 16.1997i | 0.755316 | + | 0.755316i | ||||
\(461\) | 0.857546 | − | 16.3630i | 0.0399399 | − | 0.762099i | −0.903102 | − | 0.429426i | \(-0.858716\pi\) |
0.943042 | − | 0.332673i | \(-0.107951\pi\) | |||||||
\(462\) | 3.39866 | + | 1.30462i | 0.158120 | + | 0.0606965i | ||||
\(463\) | −1.56653 | + | 9.89067i | −0.0728027 | + | 0.459658i | 0.924175 | + | 0.381969i | \(0.124754\pi\) |
−0.996978 | + | 0.0776888i | \(0.975246\pi\) | |||||||
\(464\) | −15.3646 | − | 8.87075i | −0.713283 | − | 0.411814i | ||||
\(465\) | −21.8710 | − | 5.62465i | −1.01424 | − | 0.260837i | ||||
\(466\) | 0.320795 | − | 1.19722i | 0.0148605 | − | 0.0554603i | ||||
\(467\) | −5.72388 | − | 7.87825i | −0.264870 | − | 0.364562i | 0.655780 | − | 0.754952i | \(-0.272340\pi\) |
−0.920649 | + | 0.390390i | \(0.872340\pi\) | |||||||
\(468\) | 22.4116 | − | 37.8970i | 1.03598 | − | 1.75179i | ||||
\(469\) | −5.39887 | + | 16.6160i | −0.249297 | + | 0.767257i | ||||
\(470\) | −2.85451 | − | 0.764863i | −0.131669 | − | 0.0352805i | ||||
\(471\) | −0.136063 | + | 0.0785562i | −0.00626946 | + | 0.00361968i | ||||
\(472\) | 6.54874 | − | 5.89651i | 0.301430 | − | 0.271409i | ||||
\(473\) | 18.1085 | + | 9.22672i | 0.832628 | + | 0.424245i | ||||
\(474\) | −2.49733 | + | 1.62179i | −0.114706 | + | 0.0744912i | ||||
\(475\) | −7.92701 | + | 9.78904i | −0.363716 | + | 0.449152i | ||||
\(476\) | 11.6315 | + | 22.8281i | 0.533129 | + | 1.04632i | ||||
\(477\) | 57.6177 | − | 6.05586i | 2.63813 | − | 0.277279i | ||||
\(478\) | −0.267926 | + | 2.54914i | −0.0122546 | + | 0.116595i | ||||
\(479\) | −30.3073 | + | 1.58834i | −1.38478 | + | 0.0725731i | −0.730103 | − | 0.683338i | \(-0.760528\pi\) |
−0.654675 | + | 0.755911i | \(0.727194\pi\) | |||||||
\(480\) | −7.61108 | − | 5.52977i | −0.347397 | − | 0.252398i | ||||
\(481\) | 18.7737 | − | 4.82051i | 0.856008 | − | 0.219796i | ||||
\(482\) | −0.896312 | + | 0.291229i | −0.0408259 | + | 0.0132651i | ||||
\(483\) | 44.1023 | + | 54.4618i | 2.00672 | + | 2.47810i | ||||
\(484\) | −10.3044 | − | 4.58782i | −0.468383 | − | 0.208537i | ||||
\(485\) | −10.5303 | + | 9.48154i | −0.478157 | + | 0.430534i | ||||
\(486\) | 0.846635 | + | 0.134094i | 0.0384041 | + | 0.00608262i | ||||
\(487\) | −1.78755 | − | 2.75258i | −0.0810015 | − | 0.124731i | 0.795848 | − | 0.605497i | \(-0.207026\pi\) |
−0.876849 | + | 0.480765i | \(0.840359\pi\) | |||||||
\(488\) | −3.25721 | + | 2.11526i | −0.147447 | + | 0.0957533i | ||||
\(489\) | 4.16028 | + | 8.16501i | 0.188134 | + | 0.369234i | ||||
\(490\) | 0.00688366 | − | 0.0119228i | 0.000310972 | − | 0.000538619i | ||||
\(491\) | −15.2090 | − | 26.3428i | −0.686374 | − | 1.18883i | −0.973003 | − | 0.230793i | \(-0.925868\pi\) |
0.286629 | − | 0.958042i | \(-0.407465\pi\) | |||||||
\(492\) | 20.0788 | − | 30.9187i | 0.905223 | − | 1.39392i | ||||
\(493\) | −13.7306 | + | 18.8986i | −0.618395 | + | 0.851148i | ||||
\(494\) | −2.74645 | + | 0.553815i | −0.123568 | + | 0.0249173i | ||||
\(495\) | − | 19.0481i | − | 0.856149i | ||||||
\(496\) | −18.0485 | + | 10.6643i | −0.810402 | + | 0.478842i | ||||
\(497\) | −7.72545 | − | 13.3809i | −0.346534 | − | 0.600214i | ||||
\(498\) | 3.52155 | − | 0.370130i | 0.157804 | − | 0.0165859i | ||||
\(499\) | 5.82962 | + | 36.8068i | 0.260969 | + | 1.64770i | 0.675280 | + | 0.737561i | \(0.264023\pi\) |
−0.414311 | + | 0.910135i | \(0.635977\pi\) | |||||||
\(500\) | −21.4813 | − | 1.12579i | −0.960672 | − | 0.0503467i | ||||
\(501\) | −1.85138 | + | 0.496076i | −0.0827137 | + | 0.0221631i | ||||
\(502\) | −2.45588 | + | 2.45588i | −0.109611 | + | 0.109611i | ||||
\(503\) | −15.7236 | − | 17.4629i | −0.701082 | − | 0.778631i | 0.282466 | − | 0.959277i | \(-0.408848\pi\) |
−0.983548 | + | 0.180647i | \(0.942181\pi\) | |||||||
\(504\) | −9.59063 | − | 8.63544i | −0.427200 | − | 0.384653i | ||||
\(505\) | −1.46056 | + | 0.0765447i | −0.0649941 | + | 0.00340619i | ||||
\(506\) | −2.33873 | − | 3.21899i | −0.103969 | − | 0.143102i | ||||
\(507\) | 23.8758 | − | 31.4567i | 1.06036 | − | 1.39704i | ||||
\(508\) | 11.9548 | + | 16.4544i | 0.530408 | + | 0.730044i | ||||
\(509\) | −23.8279 | + | 19.2954i | −1.05615 | + | 0.855256i | −0.989789 | − | 0.142540i | \(-0.954473\pi\) |
−0.0663637 | + | 0.997795i | \(0.521140\pi\) | |||||||
\(510\) | −2.67046 | + | 2.96585i | −0.118250 | + | 0.131330i | ||||
\(511\) | 28.5886 | − | 12.7285i | 1.26469 | − | 0.563075i | ||||
\(512\) | −14.4725 | + | 2.29223i | −0.639602 | + | 0.101303i | ||||
\(513\) | 20.9112 | + | 32.2004i | 0.923251 | + | 1.42168i | ||||
\(514\) | 2.27692 | + | 0.874028i | 0.100431 | + | 0.0385517i | ||||
\(515\) | −5.66514 | − | 0.897270i | −0.249636 | − | 0.0395384i | ||||
\(516\) | −35.3599 | − | 39.2711i | −1.55663 | − | 1.72882i | ||||
\(517\) | −23.3357 | − | 10.3897i | −1.02630 | − | 0.456939i | ||||
\(518\) | −0.147193 | − | 2.80862i | −0.00646730 | − | 0.123404i | ||||
\(519\) | 6.91024 | + | 21.2675i | 0.303326 | + | 0.933541i | ||||
\(520\) | −2.78561 | − | 2.56144i | −0.122157 | − | 0.112327i | ||||
\(521\) | 0.599368 | 0.0262588 | 0.0131294 | − | 0.999914i | \(-0.495821\pi\) | ||||
0.0131294 | + | 0.999914i | \(0.495821\pi\) | |||||||
\(522\) | 1.50758 | − | 5.62636i | 0.0659850 | − | 0.246259i | ||||
\(523\) | 4.15119 | + | 19.5298i | 0.181519 | + | 0.853978i | 0.970789 | + | 0.239933i | \(0.0771255\pi\) |
−0.789271 | + | 0.614045i | \(0.789541\pi\) | |||||||
\(524\) | −11.6556 | − | 26.1789i | −0.509178 | − | 1.14363i | ||||
\(525\) | −25.4453 | − | 4.03015i | −1.11053 | − | 0.175890i | ||||
\(526\) | 2.28212 | − | 0.611491i | 0.0995050 | − | 0.0266623i | ||||
\(527\) | 11.4805 | + | 25.1017i | 0.500100 | + | 1.09345i | ||||
\(528\) | −18.5260 | − | 18.5260i | −0.806242 | − | 0.806242i | ||||
\(529\) | −5.60212 | − | 53.3007i | −0.243571 | − | 2.31742i | ||||
\(530\) | 0.257666 | − | 2.45153i | 0.0111923 | − | 0.106488i | ||||
\(531\) | −58.5554 | − | 38.0263i | −2.54109 | − | 1.65020i | ||||
\(532\) | − | 20.2331i | − | 0.877216i | ||||||
\(533\) | 14.2257 | − | 17.1963i | 0.616182 | − | 0.744855i | ||||
\(534\) | −1.60614 | + | 4.94318i | −0.0695044 | + | 0.213912i | ||||
\(535\) | 0.539526 | + | 10.2948i | 0.0233257 | + | 0.445082i | ||||
\(536\) | −3.48639 | + | 3.87202i | −0.150589 | + | 0.167246i | ||||
\(537\) | 18.7458 | − | 1.97026i | 0.808941 | − | 0.0850231i | ||||
\(538\) | 1.36252 | − | 0.694236i | 0.0587422 | − | 0.0299307i | ||||
\(539\) | 0.0748900 | − | 0.0924815i | 0.00322574 | − | 0.00398346i | ||||
\(540\) | −9.19989 | + | 23.9665i | −0.395900 | + | 1.03136i | ||||
\(541\) | 10.2250 | − | 20.0676i | 0.439605 | − | 0.862774i | −0.559811 | − | 0.828620i | \(-0.689126\pi\) |
0.999417 | − | 0.0341537i | \(-0.0108736\pi\) | |||||||
\(542\) | −1.29789 | − | 2.91510i | −0.0557490 | − | 0.125214i | ||||
\(543\) | −4.69804 | − | 0.493784i | −0.201612 | − | 0.0211903i | ||||
\(544\) | 0.601813 | + | 11.4833i | 0.0258025 | + | 0.492342i | ||||
\(545\) | −0.903287 | + | 1.24327i | −0.0386926 | + | 0.0532558i | ||||
\(546\) | −3.78956 | − | 4.29831i | −0.162178 | − | 0.183951i | ||||
\(547\) | −4.91960 | + | 15.1410i | −0.210347 | + | 0.647382i | 0.789104 | + | 0.614259i | \(0.210545\pi\) |
−0.999451 | + | 0.0331224i | \(0.989455\pi\) | |||||||
\(548\) | −1.67560 | − | 4.36509i | −0.0715782 | − | 0.186468i | ||||
\(549\) | 22.8676 | + | 20.5901i | 0.975964 | + | 0.878762i | ||||
\(550\) | 1.43076 | + | 0.304117i | 0.0610076 | + | 0.0129676i | ||||
\(551\) | 16.4371 | − | 8.37512i | 0.700244 | − | 0.356792i | ||||
\(552\) | 5.40916 | + | 20.1872i | 0.230229 | + | 0.859226i | ||||
\(553\) | −3.36930 | − | 12.5744i | −0.143277 | − | 0.534717i | ||||
\(554\) | 0.624618 | + | 1.22588i | 0.0265375 | + | 0.0520827i | ||||
\(555\) | −19.9190 | + | 8.86851i | −0.845514 | + | 0.376447i | ||||
\(556\) | 30.5577 | + | 13.6051i | 1.29593 | + | 0.576987i | ||||
\(557\) | −28.0881 | − | 7.52620i | −1.19013 | − | 0.318895i | −0.391195 | − | 0.920308i | \(-0.627938\pi\) |
−0.798938 | + | 0.601413i | \(0.794605\pi\) | |||||||
\(558\) | −4.91564 | − | 4.81753i | −0.208096 | − | 0.203942i | ||||
\(559\) | −18.5318 | − | 26.0761i | −0.783813 | − | 1.10290i | ||||
\(560\) | 10.7204 | − | 7.78881i | 0.453019 | − | 0.329137i | ||||
\(561\) | −26.8090 | + | 21.7095i | −1.13188 | + | 0.916576i | ||||
\(562\) | −0.187991 | + | 0.0399588i | −0.00792994 | + | 0.00168556i | ||||
\(563\) | 2.91933 | + | 1.68548i | 0.123035 | + | 0.0710344i | 0.560255 | − | 0.828320i | \(-0.310703\pi\) |
−0.437219 | + | 0.899355i | \(0.644037\pi\) | |||||||
\(564\) | 46.9651 | + | 46.9651i | 1.97759 | + | 1.97759i | ||||
\(565\) | 3.39876 | + | 0.178121i | 0.142987 | + | 0.00749362i | ||||
\(566\) | −2.46562 | − | 3.79671i | −0.103638 | − | 0.159588i | ||||
\(567\) | −13.2909 | + | 26.0849i | −0.558165 | + | 1.09546i | ||||
\(568\) | −0.481651 | − | 4.58260i | −0.0202096 | − | 0.192282i | ||||
\(569\) | 23.8710 | − | 5.07395i | 1.00073 | − | 0.212711i | 0.321713 | − | 0.946837i | \(-0.395741\pi\) |
0.679013 | + | 0.734126i | \(0.262408\pi\) | |||||||
\(570\) | 2.94239 | − | 1.12948i | 0.123243 | − | 0.0473086i | ||||
\(571\) | −18.7258 | − | 13.6051i | −0.783651 | − | 0.569356i | 0.122421 | − | 0.992478i | \(-0.460934\pi\) |
−0.906073 | + | 0.423122i | \(0.860934\pi\) | |||||||
\(572\) | −10.0581 | − | 12.6898i | −0.420549 | − | 0.530587i | ||||
\(573\) | −25.3438 | + | 34.8827i | −1.05875 | + | 1.45725i | ||||
\(574\) | −2.03796 | − | 2.51667i | −0.0850628 | − | 0.105044i | ||||
\(575\) | 20.9251 | + | 18.8411i | 0.872639 | + | 0.785727i | ||||
\(576\) | 17.9102 | + | 40.2269i | 0.746258 | + | 1.67612i | ||||
\(577\) | 4.84647 | − | 30.5994i | 0.201761 | − | 1.27387i | −0.653999 | − | 0.756496i | \(-0.726910\pi\) |
0.855760 | − | 0.517373i | \(-0.173090\pi\) | |||||||
\(578\) | 1.50188 | + | 0.0787099i | 0.0624698 | + | 0.00327390i | ||||
\(579\) | 46.5272 | + | 37.6770i | 1.93361 | + | 1.56580i | ||||
\(580\) | 10.9903 | + | 5.59983i | 0.456347 | + | 0.232520i | ||||
\(581\) | −3.21852 | + | 15.1419i | −0.133527 | + | 0.628194i | ||||
\(582\) | −6.25909 | + | 1.33041i | −0.259448 | + | 0.0551473i | ||||
\(583\) | 5.51470 | − | 20.5811i | 0.228395 | − | 0.852383i | ||||
\(584\) | 9.33270 | 0.386190 | ||||||||
\(585\) | −13.8906 | + | 26.5711i | −0.574306 | + | 1.09858i | ||||
\(586\) | 0.916829 | + | 0.666115i | 0.0378738 | + | 0.0275170i | ||||
\(587\) | −12.0803 | − | 31.4703i | −0.498607 | − | 1.29892i | −0.919957 | − | 0.392018i | \(-0.871777\pi\) |
0.421350 | − | 0.906898i | \(-0.361556\pi\) | |||||||
\(588\) | −0.267968 | + | 0.154711i | −0.0110508 | + | 0.00638018i | ||||
\(589\) | 0.921354 | − | 21.7788i | 0.0379637 | − | 0.897378i | ||||
\(590\) | −2.10059 | + | 2.10059i | −0.0864800 | + | 0.0864800i | ||||
\(591\) | 15.4235 | + | 12.4897i | 0.634437 | + | 0.513757i | ||||
\(592\) | −7.25369 | + | 18.8965i | −0.298125 | + | 0.776642i | ||||
\(593\) | −13.1301 | + | 6.69013i | −0.539190 | + | 0.274731i | −0.702305 | − | 0.711876i | \(-0.747846\pi\) |
0.163115 | + | 0.986607i | \(0.447846\pi\) | |||||||
\(594\) | 2.22927 | − | 3.86121i | 0.0914682 | − | 0.158427i | ||||
\(595\) | −8.72375 | − | 15.1100i | −0.357639 | − | 0.619448i | ||||
\(596\) | 17.5467 | + | 11.3949i | 0.718739 | + | 0.466755i | ||||
\(597\) | 65.5195 | − | 21.2886i | 2.68153 | − | 0.871283i | ||||
\(598\) | 0.914995 | + | 6.19581i | 0.0374169 | + | 0.253366i | ||||
\(599\) | −16.6203 | + | 12.0754i | −0.679089 | + | 0.493387i | −0.873055 | − | 0.487621i | \(-0.837865\pi\) |
0.193967 | + | 0.981008i | \(0.437865\pi\) | |||||||
\(600\) | −6.44352 | − | 4.18447i | −0.263056 | − | 0.170830i | ||||
\(601\) | 5.82887 | − | 13.0919i | 0.237765 | − | 0.534028i | −0.754770 | − | 0.655989i | \(-0.772252\pi\) |
0.992535 | + | 0.121961i | \(0.0389184\pi\) | |||||||
\(602\) | −4.24058 | + | 1.88803i | −0.172833 | + | 0.0769502i | ||||
\(603\) | 36.7822 | + | 18.7414i | 1.49789 | + | 0.763211i | ||||
\(604\) | −31.2264 | − | 11.9867i | −1.27058 | − | 0.487732i | ||||
\(605\) | 7.17116 | + | 2.75275i | 0.291549 | + | 0.111915i | ||||
\(606\) | −0.588485 | − | 0.299848i | −0.0239055 | − | 0.0121805i | ||||
\(607\) | −23.9156 | + | 10.6479i | −0.970702 | + | 0.432185i | −0.829936 | − | 0.557858i | \(-0.811623\pi\) |
−0.140766 | + | 0.990043i | \(0.544957\pi\) | |||||||
\(608\) | 3.69359 | − | 8.29593i | 0.149795 | − | 0.336444i | ||||
\(609\) | 31.6436 | + | 20.5496i | 1.28226 | + | 0.832712i | ||||
\(610\) | 1.05922 | − | 0.769567i | 0.0428865 | − | 0.0311588i | ||||
\(611\) | 24.9754 | + | 31.5103i | 1.01040 | + | 1.27477i | ||||
\(612\) | 57.5746 | − | 18.7071i | 2.32732 | − | 0.756191i | ||||
\(613\) | 10.5328 | + | 6.84009i | 0.425416 | + | 0.276268i | 0.739539 | − | 0.673114i | \(-0.235044\pi\) |
−0.314123 | + | 0.949382i | \(0.601710\pi\) | |||||||
\(614\) | 0.0792858 | + | 0.137327i | 0.00319971 | + | 0.00554207i | ||||
\(615\) | −12.5529 | + | 21.7422i | −0.506181 | + | 0.876731i | ||||
\(616\) | −4.22900 | + | 2.15479i | −0.170391 | + | 0.0868188i | ||||
\(617\) | 5.56279 | − | 14.4916i | 0.223949 | − | 0.583408i | −0.774863 | − | 0.632129i | \(-0.782181\pi\) |
0.998812 | + | 0.0487211i | \(0.0155145\pi\) | |||||||
\(618\) | −2.01295 | − | 1.63005i | −0.0809726 | − | 0.0655703i | ||||
\(619\) | 9.53945 | − | 9.53945i | 0.383423 | − | 0.383423i | −0.488911 | − | 0.872334i | \(-0.662606\pi\) |
0.872334 | + | 0.488911i | \(0.162606\pi\) | |||||||
\(620\) | 12.1429 | − | 8.06087i | 0.487671 | − | 0.323732i | ||||
\(621\) | 74.3289 | − | 42.9138i | 2.98272 | − | 1.72207i | ||||
\(622\) | 1.29098 | + | 3.36312i | 0.0517636 | + | 0.134849i | ||||
\(623\) | −18.3830 | − | 13.3560i | −0.736499 | − | 0.535098i | ||||
\(624\) | 12.3329 | + | 39.3527i | 0.493712 | + | 1.57537i | ||||
\(625\) | −1.43797 | −0.0575188 | ||||||||
\(626\) | 1.17882 | − | 4.39942i | 0.0471152 | − | 0.175836i | ||||
\(627\) | 26.6475 | − | 5.66409i | 1.06420 | − | 0.226202i | ||||
\(628\) | 0.0210824 | − | 0.0991848i | 0.000841278 | − | 0.00395790i | ||||
\(629\) | 23.7460 | + | 12.0992i | 0.946817 | + | 0.482427i | ||||
\(630\) | 3.38103 | + | 2.73790i | 0.134703 | + | 0.109081i | ||||
\(631\) | 10.0568 | + | 0.527055i | 0.400355 | + | 0.0209817i | 0.251451 | − | 0.967870i | \(-0.419092\pi\) |
0.148904 | + | 0.988852i | \(0.452425\pi\) | |||||||
\(632\) | 0.607322 | − | 3.83448i | 0.0241580 | − | 0.152528i | ||||
\(633\) | 29.9078 | + | 67.1741i | 1.18873 | + | 2.66993i | ||||
\(634\) | −3.23592 | − | 2.91363i | −0.128515 | − | 0.115715i | ||||
\(635\) | −8.71643 | − | 10.7639i | −0.345901 | − | 0.427152i | ||||
\(636\) | −32.5644 | + | 44.8211i | −1.29126 | + | 1.77727i | ||||
\(637\) | −0.171909 | + | 0.0743939i | −0.00681126 | + | 0.00294759i | ||||
\(638\) | −1.73311 | − | 1.25918i | −0.0686144 | − | 0.0498513i | ||||
\(639\) | −34.0833 | + | 13.0833i | −1.34831 | + | 0.517569i | ||||
\(640\) | 7.89109 | − | 1.67730i | 0.311923 | − | 0.0663012i | ||||
\(641\) | 1.49380 | + | 14.2126i | 0.0590017 | + | 0.561363i | 0.983593 | + | 0.180402i | \(0.0577400\pi\) |
−0.924591 | + | 0.380961i | \(0.875593\pi\) | |||||||
\(642\) | −2.11348 | + | 4.14794i | −0.0834124 | + | 0.163706i | ||||
\(643\) | −21.1152 | − | 32.5146i | −0.832703 | − | 1.28225i | −0.957024 | − | 0.290008i | \(-0.906342\pi\) |
0.124321 | − | 0.992242i | \(-0.460325\pi\) | |||||||
\(644\) | −45.1673 | − | 2.36712i | −1.77984 | − | 0.0932775i | ||||
\(645\) | 25.4466 | + | 25.4466i | 1.00196 | + | 1.00196i | ||||
\(646\) | −3.33620 | − | 1.92616i | −0.131261 | − | 0.0757836i | ||||
\(647\) | −9.28509 | + | 1.97361i | −0.365035 | + | 0.0775905i | −0.386777 | − | 0.922173i | \(-0.626412\pi\) |
0.0217429 | + | 0.999764i | \(0.493078\pi\) | |||||||
\(648\) | −6.78506 | + | 5.49444i | −0.266542 | + | 0.215842i | ||||
\(649\) | −20.7739 | + | 15.0931i | −0.815445 | + | 0.592456i | ||||
\(650\) | −1.77405 | − | 1.46759i | −0.0695841 | − | 0.0575635i | ||||
\(651\) | 39.5180 | − | 20.6398i | 1.54883 | − | 0.808937i | ||||
\(652\) | −5.71281 | − | 1.53074i | −0.223731 | − | 0.0599485i | ||||
\(653\) | −23.1594 | − | 10.3112i | −0.906297 | − | 0.403510i | −0.0999777 | − | 0.994990i | \(-0.531877\pi\) |
−0.806320 | + | 0.591480i | \(0.798544\pi\) | |||||||
\(654\) | −0.633981 | + | 0.282267i | −0.0247906 | + | 0.0110375i | ||||
\(655\) | 8.85956 | + | 17.3879i | 0.346172 | + | 0.679400i | ||||
\(656\) | 6.03201 | + | 22.5118i | 0.235511 | + | 0.878937i | ||||
\(657\) | −19.1379 | − | 71.4238i | −0.746642 | − | 2.78651i | ||||
\(658\) | 5.19835 | − | 2.64869i | 0.202653 | − | 0.103257i | ||||
\(659\) | 29.3285 | + | 6.23396i | 1.14247 | + | 0.242840i | 0.740010 | − | 0.672595i | \(-0.234821\pi\) |
0.402464 | + | 0.915436i | \(0.368154\pi\) | |||||||
\(660\) | 13.5366 | + | 12.1884i | 0.526911 | + | 0.474432i | ||||
\(661\) | 10.4337 | + | 27.1808i | 0.405825 | + | 1.05721i | 0.972425 | + | 0.233217i | \(0.0749252\pi\) |
−0.566600 | + | 0.823993i | \(0.691741\pi\) | |||||||
\(662\) | −0.797551 | + | 2.45461i | −0.0309977 | + | 0.0954012i | ||||
\(663\) | 53.2285 | − | 10.7334i | 2.06722 | − | 0.416851i | ||||
\(664\) | −2.71356 | + | 3.73490i | −0.105307 | + | 0.144942i | ||||
\(665\) | 0.721118 | + | 13.7598i | 0.0279638 | + | 0.533581i | ||||
\(666\) | −6.60903 | − | 0.694637i | −0.256095 | − | 0.0269166i | ||||
\(667\) | −16.7732 | − | 37.6731i | −0.649459 | − | 1.45871i | ||||
\(668\) | 0.561603 | − | 1.10221i | 0.0217291 | − | 0.0426457i | ||||
\(669\) | −20.3756 | + | 53.0802i | −0.787765 | + | 2.05220i | ||||
\(670\) | 1.10537 | − | 1.36502i | 0.0427043 | − | 0.0527354i | ||||
\(671\) | 10.0835 | − | 5.13780i | 0.389269 | − | 0.198343i | ||||
\(672\) | 18.4714 | − | 1.94142i | 0.712550 | − | 0.0748920i | ||||
\(673\) | −9.36183 | + | 10.3974i | −0.360872 | + | 0.400789i | −0.896052 | − | 0.443949i | \(-0.853577\pi\) |
0.535180 | + | 0.844738i | \(0.320244\pi\) | |||||||
\(674\) | 0.0905024 | + | 1.72689i | 0.00348602 | + | 0.0665172i | ||||
\(675\) | −9.75008 | + | 30.0077i | −0.375281 | + | 1.15500i | ||||
\(676\) | 4.77656 | + | 25.0363i | 0.183714 | + | 0.962935i | ||||
\(677\) | − | 9.69042i | − | 0.372433i | −0.982509 | − | 0.186217i | \(-0.940377\pi\) | ||
0.982509 | − | 0.186217i | \(-0.0596226\pi\) | |||||||
\(678\) | 1.28898 | + | 0.837073i | 0.0495030 | + | 0.0321476i | ||||
\(679\) | 2.92415 | − | 27.8214i | 0.112219 | − | 1.06769i | ||||
\(680\) | −0.543890 | − | 5.17477i | −0.0208572 | − | 0.198443i | ||||
\(681\) | 32.8691 | + | 32.8691i | 1.25955 | + | 1.25955i | ||||
\(682\) | −2.30197 | + | 1.05283i | −0.0881470 | + | 0.0403150i | ||||
\(683\) | 3.09083 | − | 0.828184i | 0.118267 | − | 0.0316896i | −0.199200 | − | 0.979959i | \(-0.563834\pi\) |
0.317467 | + | 0.948269i | \(0.397168\pi\) | |||||||
\(684\) | −47.2191 | − | 7.47878i | −1.80547 | − | 0.285958i | ||||
\(685\) | 1.29509 | + | 2.90881i | 0.0494827 | + | 0.111140i | ||||
\(686\) | 0.767067 | + | 3.60877i | 0.0292867 | + | 0.137783i | ||||
\(687\) | −9.86101 | + | 36.8018i | −0.376221 | + | 1.40408i | ||||
\(688\) | 33.4069 | 1.27363 | ||||||||
\(689\) | −22.7012 | + | 24.6880i | −0.864849 | + | 0.940538i | ||||
\(690\) | −2.17715 | − | 6.70058i | −0.0828827 | − | 0.255087i | ||||
\(691\) | −0.894356 | − | 17.0653i | −0.0340229 | − | 0.649196i | −0.961415 | − | 0.275104i | \(-0.911288\pi\) |
0.927392 | − | 0.374092i | \(-0.122046\pi\) | |||||||
\(692\) | −13.1847 | − | 5.87022i | −0.501209 | − | 0.223152i | ||||
\(693\) | 25.1629 | + | 27.9462i | 0.955858 | + | 1.06159i | ||||
\(694\) | 2.49640 | + | 0.395392i | 0.0947622 | + | 0.0150089i | ||||
\(695\) | −21.2660 | − | 8.16325i | −0.806665 | − | 0.309650i | ||||
\(696\) | 6.12840 | + | 9.43692i | 0.232297 | + | 0.357705i | ||||
\(697\) | 30.3086 | − | 4.80042i | 1.14802 | − | 0.181829i | ||||
\(698\) | 3.86403 | − | 1.72038i | 0.146256 | − | 0.0651172i | ||||
\(699\) | 12.6937 | − | 14.0978i | 0.480120 | − | 0.533228i | ||||
\(700\) | 12.9217 | − | 10.4638i | 0.488396 | − | 0.395495i | ||||
\(701\) | −29.7702 | − | 40.9751i | −1.12440 | − | 1.54761i | −0.798284 | − | 0.602281i | \(-0.794259\pi\) |
−0.326119 | − | 0.945329i | \(-0.605741\pi\) | |||||||
\(702\) | −5.92546 | + | 3.76051i | −0.223642 | + | 0.141931i | ||||
\(703\) | −12.3709 | − | 17.0271i | −0.466579 | − | 0.642190i | ||||
\(704\) | 16.1724 | − | 0.847561i | 0.609521 | − | 0.0319436i | ||||
\(705\) | −33.6130 | − | 30.2653i | −1.26594 | − | 1.13986i | ||||
\(706\) | 1.63978 | + | 1.82116i | 0.0617138 | + | 0.0685402i | ||||
\(707\) | 2.04172 | − | 2.04172i | 0.0767869 | − | 0.0767869i | ||||
\(708\) | 64.4916 | − | 17.2805i | 2.42374 | − | 0.649440i | ||||
\(709\) | 17.0071 | + | 0.891304i | 0.638715 | + | 0.0334736i | 0.368945 | − | 0.929451i | \(-0.379719\pi\) |
0.269770 | + | 0.962925i | \(0.413052\pi\) | |||||||
\(710\) | 0.242998 | + | 1.53423i | 0.00911956 | + | 0.0575786i | ||||
\(711\) | −30.5910 | + | 3.21524i | −1.14725 | + | 0.120581i | ||||
\(712\) | −3.38822 | − | 5.86858i | −0.126979 | − | 0.219934i | ||||
\(713\) | −48.5100 | − | 4.60473i | −1.81671 | − | 0.172449i | ||||
\(714\) | − | 7.87902i | − | 0.294865i | ||||||
\(715\) | 7.29238 | + | 8.27137i | 0.272719 | + | 0.309332i | ||||
\(716\) | −7.15054 | + | 9.84187i | −0.267228 | + | 0.367808i | ||||
\(717\) | −21.3666 | + | 32.9017i | −0.797950 | + | 1.22874i | ||||
\(718\) | −3.26567 | − | 5.65631i | −0.121874 | − | 0.211091i | ||||
\(719\) | −22.0697 | + | 38.2258i | −0.823061 | + | 1.42558i | 0.0803313 | + | 0.996768i | \(0.474402\pi\) |
−0.903392 | + | 0.428815i | \(0.858931\pi\) | |||||||
\(720\) | −14.2146 | − | 27.8977i | −0.529747 | − | 1.03969i | ||||
\(721\) | 9.49684 | − | 6.16732i | 0.353681 | − | 0.229683i | ||||
\(722\) | −0.396955 | − | 0.611258i | −0.0147732 | − | 0.0227487i | ||||
\(723\) | −14.2469 | − | 2.25648i | −0.529846 | − | 0.0839194i | ||||
\(724\) | 2.26572 | − | 2.04006i | 0.0842048 | − | 0.0758184i | ||||
\(725\) | 13.8494 | + | 6.16614i | 0.514353 | + | 0.229005i | ||||
\(726\) | 2.18297 | + | 2.69575i | 0.0810177 | + | 0.100049i | ||||
\(727\) | 39.2192 | − | 12.7431i | 1.45456 | − | 0.472615i | 0.528156 | − | 0.849148i | \(-0.322884\pi\) |
0.926403 | + | 0.376533i | \(0.122884\pi\) | |||||||
\(728\) | 7.47058 | + | 0.0781444i | 0.276878 | + | 0.00289622i | ||||
\(729\) | −16.3419 | − | 11.8731i | −0.605257 | − | 0.439745i | ||||
\(730\) | −3.14184 | + | 0.164657i | −0.116285 | + | 0.00609423i | ||||
\(731\) | 4.59782 | − | 43.7453i | 0.170056 | − | 1.61798i | ||||
\(732\) | −29.2647 | + | 3.07585i | −1.08166 | + | 0.113687i | ||||
\(733\) | 5.05975 | + | 9.93032i | 0.186886 | + | 0.366785i | 0.965372 | − | 0.260877i | \(-0.0840119\pi\) |
−0.778486 | + | 0.627662i | \(0.784012\pi\) | |||||||
\(734\) | −0.0308049 | + | 0.0380408i | −0.00113703 | + | 0.00140411i | ||||
\(735\) | 0.176721 | − | 0.114764i | 0.00651844 | − | 0.00423312i | ||||
\(736\) | −18.0873 | − | 9.21593i | −0.666706 | − | 0.339704i | ||||
\(737\) | 11.2827 | − | 10.1590i | 0.415604 | − | 0.374212i | ||||
\(738\) | −6.62659 | + | 3.82586i | −0.243928 | + | 0.140832i | ||||
\(739\) | 24.2600 | + | 6.50045i | 0.892419 | + | 0.239123i | 0.675758 | − | 0.737124i | \(-0.263817\pi\) |
0.216662 | + | 0.976247i | \(0.430483\pi\) | |||||||
\(740\) | 4.34861 | − | 13.3836i | 0.159858 | − | 0.491992i | ||||
\(741\) | −41.3022 | − | 11.5313i | −1.51728 | − | 0.423611i | ||||
\(742\) | 2.86047 | + | 3.93711i | 0.105011 | + | 0.144536i | ||||
\(743\) | 9.21792 | − | 34.4017i | 0.338173 | − | 1.26208i | −0.562216 | − | 0.826991i | \(-0.690051\pi\) |
0.900388 | − | 0.435087i | \(-0.143282\pi\) | |||||||
\(744\) | 13.2699 | − | 0.829651i | 0.486499 | − | 0.0304165i | ||||
\(745\) | −12.3389 | − | 7.12389i | −0.452064 | − | 0.260999i | ||||
\(746\) | 0.346166 | − | 2.18560i | 0.0126740 | − | 0.0800207i | ||||
\(747\) | 34.1479 | + | 13.1082i | 1.24941 | + | 0.479603i | ||||
\(748\) | 1.16522 | − | 22.2338i | 0.0426047 | − | 0.812947i | ||||
\(749\) | −14.3911 | − | 14.3911i | −0.525840 | − | 0.525840i | ||||
\(750\) | 5.72888 | + | 3.30757i | 0.209189 | + | 0.120775i | ||||
\(751\) | 0.887616 | + | 4.17591i | 0.0323896 | + | 0.152381i | 0.991371 | − | 0.131090i | \(-0.0418475\pi\) |
−0.958981 | + | 0.283470i | \(0.908514\pi\) | |||||||
\(752\) | −41.9306 | + | 2.19749i | −1.52905 | + | 0.0801341i | ||||
\(753\) | −50.5562 | + | 16.4267i | −1.84237 | + | 0.598622i | ||||
\(754\) | 1.49935 | + | 3.02033i | 0.0546031 | + | 0.109994i | ||||
\(755\) | 21.6631 | + | 7.03876i | 0.788401 | + | 0.256167i | ||||
\(756\) | −18.1627 | − | 47.3154i | −0.660570 | − | 1.72084i | ||||
\(757\) | −52.9069 | − | 5.56073i | −1.92293 | − | 0.202108i | −0.934741 | − | 0.355331i | \(-0.884368\pi\) |
−0.988192 | + | 0.153223i | \(0.951035\pi\) | |||||||
\(758\) | −0.524427 | + | 2.46723i | −0.0190480 | + | 0.0896140i | ||||
\(759\) | −9.52667 | − | 60.1490i | −0.345796 | − | 2.18327i | ||||
\(760\) | −1.47258 | + | 3.83621i | −0.0534161 | + | 0.139154i | ||||
\(761\) | 24.8054 | − | 16.1088i | 0.899195 | − | 0.583944i | −0.0101676 | − | 0.999948i | \(-0.503237\pi\) |
0.909363 | + | 0.416004i | \(0.136570\pi\) | |||||||
\(762\) | −0.978450 | − | 6.17769i | −0.0354455 | − | 0.223794i | ||||
\(763\) | −0.317131 | − | 3.01730i | −0.0114809 | − | 0.109234i | ||||
\(764\) | −5.78578 | − | 27.2200i | −0.209322 | − | 0.984784i | ||||
\(765\) | −38.4876 | + | 14.7740i | −1.39152 | + | 0.534155i | ||||
\(766\) | −1.08020 | − | 3.32451i | −0.0390291 | − | 0.120119i | ||||
\(767\) | 39.9849 | − | 5.90494i | 1.44377 | − | 0.213215i | ||||
\(768\) | −37.3875 | − | 12.1479i | −1.34910 | − | 0.438351i | ||||
\(769\) | 32.0908 | + | 8.59872i | 1.15723 | + | 0.310078i | 0.785857 | − | 0.618408i | \(-0.212222\pi\) |
0.371368 | + | 0.928486i | \(0.378889\pi\) | |||||||
\(770\) | 1.38567 | − | 0.800018i | 0.0499362 | − | 0.0288307i | ||||
\(771\) | 24.9778 | + | 27.7406i | 0.899552 | + | 0.999054i | ||||
\(772\) | −38.1641 | + | 6.04460i | −1.37356 | + | 0.217550i | ||||
\(773\) | 16.1247 | − | 19.9124i | 0.579966 | − | 0.716198i | −0.399742 | − | 0.916628i | \(-0.630900\pi\) |
0.979708 | + | 0.200430i | \(0.0642338\pi\) | |||||||
\(774\) | 2.83875 | + | 10.5943i | 0.102037 | + | 0.380806i | ||||
\(775\) | 14.3854 | − | 10.6748i | 0.516738 | − | 0.383449i | ||||
\(776\) | 4.17137 | − | 7.22502i | 0.149743 | − | 0.259363i | ||||
\(777\) | 17.5085 | − | 39.3246i | 0.628112 | − | 1.41076i | ||||
\(778\) | −1.58156 | − | 1.95307i | −0.0567018 | − | 0.0700209i | ||||
\(779\) | −23.0476 | − | 7.48863i | −0.825767 | − | 0.268308i | ||||
\(780\) | −9.99455 | − | 26.8735i | −0.357862 | − | 0.962227i | ||||
\(781\) | 13.4268i | 0.480450i | ||||||||
\(782\) | −4.69016 | + | 7.22221i | −0.167720 | + | 0.258266i | ||||
\(783\) | 30.9203 | − | 34.3404i | 1.10500 | − | 1.22723i | ||||
\(784\) | 0.0406693 | − | 0.191334i | 0.00145248 | − | 0.00683337i | ||||
\(785\) | −0.0108023 | + | 0.0682032i | −0.000385551 | + | 0.00243428i | ||||
\(786\) | −0.461217 | + | 8.80054i | −0.0164511 | + | 0.313905i | ||||
\(787\) | 10.4425 | + | 8.45618i | 0.372235 | + | 0.301430i | 0.797124 | − | 0.603815i | \(-0.206354\pi\) |
−0.424889 | + | 0.905246i | \(0.639687\pi\) | |||||||
\(788\) | −12.6511 | + | 2.00374i | −0.450678 | + | 0.0713804i | ||||
\(789\) | 35.3708 | + | 7.51830i | 1.25923 | + | 0.267658i | ||||
\(790\) | −0.136803 | + | 1.30159i | −0.00486722 | + | 0.0463085i | ||||
\(791\) | −5.22174 | + | 4.22848i | −0.185664 | + | 0.150347i | ||||
\(792\) | 3.46557 | + | 10.6659i | 0.123144 | + | 0.378998i | ||||
\(793\) | −17.8126 | − | 0.186325i | −0.632544 | − | 0.00661659i | ||||
\(794\) | 0.398317 | − | 0.289394i | 0.0141357 | − | 0.0102702i | ||||
\(795\) | 20.5484 | − | 31.6417i | 0.728776 | − | 1.12222i | ||||
\(796\) | −18.0845 | + | 40.6186i | −0.640990 | + | 1.43969i | ||||
\(797\) | 34.9070 | + | 7.41971i | 1.23647 | + | 0.262820i | 0.779352 | − | 0.626587i | \(-0.215549\pi\) |
0.457117 | + | 0.889406i | \(0.348882\pi\) | |||||||
\(798\) | −2.82483 | + | 5.54404i | −0.0999979 | + | 0.196257i | ||||
\(799\) | −2.89339 | + | 55.2092i | −0.102361 | + | 1.95316i | ||||
\(800\) | 7.20833 | − | 1.93147i | 0.254853 | − | 0.0682877i | ||||
\(801\) | −37.9646 | + | 37.9646i | −1.34141 | + | 1.34141i | ||||
\(802\) | 2.29045 | − | 2.06233i | 0.0808784 | − | 0.0728233i | ||||
\(803\) | −27.0456 | − | 2.84261i | −0.954420 | − | 0.100314i | ||||
\(804\) | −36.8546 | + | 14.1471i | −1.29976 | + | 0.498931i | ||||
\(805\) | 30.8009 | 1.08559 | ||||||||
\(806\) | 3.97889 | + | 0.210041i | 0.140150 | + | 0.00739837i | ||||
\(807\) | 23.4049 | 0.823892 | ||||||||
\(808\) | 0.803910 | − | 0.308592i | 0.0282815 | − | 0.0108562i | ||||
\(809\) | −1.52909 | − | 0.160714i | −0.0537599 | − | 0.00565039i | 0.0776103 | − | 0.996984i | \(-0.475271\pi\) |
−0.131370 | + | 0.991333i | \(0.541938\pi\) | |||||||
\(810\) | 2.18724 | − | 1.96940i | 0.0768519 | − | 0.0691978i | ||||
\(811\) | 3.28848 | − | 3.28848i | 0.115474 | − | 0.115474i | −0.647009 | − | 0.762483i | \(-0.723980\pi\) |
0.762483 | + | 0.647009i | \(0.223980\pi\) | |||||||
\(812\) | −23.5217 | + | 6.30263i | −0.825451 | + | 0.221179i | ||||
\(813\) | 2.55605 | − | 48.7724i | 0.0896447 | − | 1.71052i | ||||
\(814\) | −1.10957 | + | 2.17765i | −0.0388903 | + | 0.0763266i | ||||
\(815\) | 3.93962 | + | 0.837392i | 0.137999 | + | 0.0293326i | ||||
\(816\) | −23.0636 | + | 51.8017i | −0.807388 | + | 1.81342i | ||||
\(817\) | −18.9190 | + | 29.1328i | −0.661894 | + | 1.01923i | ||||
\(818\) | −4.51694 | + | 3.28175i | −0.157931 | + | 0.114744i | ||||
\(819\) | −14.7214 | − | 57.3331i | −0.514407 | − | 2.00338i | ||||
\(820\) | −5.00710 | − | 15.4103i | −0.174855 | − | 0.538150i | ||||
\(821\) | 14.4529 | − | 11.7038i | 0.504411 | − | 0.408464i | −0.343054 | − | 0.939316i | \(-0.611461\pi\) |
0.847465 | + | 0.530852i | \(0.178128\pi\) | |||||||
\(822\) | −0.150300 | + | 1.43001i | −0.00524232 | + | 0.0498773i | ||||
\(823\) | 29.0805 | + | 6.18125i | 1.01368 | + | 0.215465i | 0.684664 | − | 0.728858i | \(-0.259949\pi\) |
0.329019 | + | 0.944323i | \(0.393282\pi\) | |||||||
\(824\) | 3.33543 | − | 0.528280i | 0.116195 | − | 0.0184035i | ||||
\(825\) | 17.3984 | + | 14.0890i | 0.605736 | + | 0.490515i | ||||
\(826\) | 0.306940 | − | 5.85677i | 0.0106798 | − | 0.203783i | ||||
\(827\) | 6.80454 | − | 42.9622i | 0.236617 | − | 1.49394i | −0.527882 | − | 0.849318i | \(-0.677014\pi\) |
0.764499 | − | 0.644624i | \(-0.222986\pi\) | |||||||
\(828\) | −22.2195 | + | 104.535i | −0.772181 | + | 3.63283i | ||||
\(829\) | −25.8196 | + | 28.6755i | −0.896751 | + | 0.995943i | 0.103248 | + | 0.994656i | \(0.467076\pi\) |
−0.999999 | + | 0.00128706i | \(0.999590\pi\) | |||||||
\(830\) | 0.847622 | − | 1.30522i | 0.0294214 | − | 0.0453050i | ||||
\(831\) | 21.0579i | 0.730489i | ||||||||
\(832\) | −23.1777 | − | 10.6112i | −0.803543 | − | 0.367879i | ||||
\(833\) | −0.244949 | − | 0.0795886i | −0.00848697 | − | 0.00275758i | ||||
\(834\) | −6.47358 | − | 7.99421i | −0.224162 | − | 0.276817i | ||||
\(835\) | −0.342642 | + | 0.769585i | −0.0118576 | + | 0.0266326i | ||||
\(836\) | −8.79128 | + | 15.2269i | −0.304053 | + | 0.526635i | ||||
\(837\) | −17.3956 | − | 51.7570i | −0.601279 | − | 1.78898i | ||||
\(838\) | 0.0249658 | + | 0.0931735i | 0.000862428 | + | 0.00321862i | ||||
\(839\) | −14.2908 | + | 17.6476i | −0.493372 | + | 0.609264i | −0.961637 | − | 0.274324i | \(-0.911546\pi\) |
0.468265 | + | 0.883588i | \(0.344879\pi\) | |||||||
\(840\) | −8.30082 | + | 1.31472i | −0.286405 | + | 0.0453622i | ||||
\(841\) | 4.54824 | + | 5.05133i | 0.156836 | + | 0.174184i | ||||
\(842\) | −4.15176 | + | 2.39702i | −0.143079 | + | 0.0826067i | ||||
\(843\) | −2.84135 | − | 0.761336i | −0.0978611 | − | 0.0262218i | ||||
\(844\) | −45.1345 | − | 14.6651i | −1.55359 | − | 0.504793i | ||||
\(845\) | −4.14066 | − | 16.8560i | −0.142443 | − | 0.579864i | ||||
\(846\) | −4.25993 | − | 13.1107i | −0.146459 | − | 0.450756i | ||||
\(847\) | −14.1575 | + | 5.43455i | −0.486457 | + | 0.186733i | ||||
\(848\) | −7.28183 | − | 34.2583i | −0.250059 | − | 1.17643i | ||||
\(849\) | −7.24265 | − | 68.9092i | −0.248567 | − | 2.36496i | ||||
\(850\) | −0.495234 | − | 3.12678i | −0.0169864 | − | 0.107248i | ||||
\(851\) | −39.4578 | + | 25.6242i | −1.35260 | + | 0.878385i | ||||
\(852\) | 12.5113 | − | 32.5930i | 0.428630 | − | 1.11662i | ||||
\(853\) | 2.27800 | + | 14.3827i | 0.0779972 | + | 0.492455i | 0.995503 | + | 0.0947322i | \(0.0301995\pi\) |
−0.917506 | + | 0.397723i | \(0.869801\pi\) | |||||||
\(854\) | −0.537407 | + | 2.52830i | −0.0183897 | + | 0.0865167i | ||||
\(855\) | 32.3785 | + | 3.40311i | 1.10732 | + | 0.116384i | ||||
\(856\) | −2.17511 | − | 5.66637i | −0.0743439 | − | 0.193672i | ||||
\(857\) | −8.93727 | − | 2.90389i | −0.305291 | − | 0.0991952i | 0.152365 | − | 0.988324i | \(-0.451311\pi\) |
−0.457656 | + | 0.889129i | \(0.651311\pi\) | |||||||
\(858\) | 0.984317 | + | 4.88136i | 0.0336040 | + | 0.166647i | ||||
\(859\) | 50.1367 | − | 16.2904i | 1.71064 | − | 0.555822i | 0.720203 | − | 0.693764i | \(-0.244049\pi\) |
0.990440 | + | 0.137942i | \(0.0440487\pi\) | |||||||
\(860\) | −23.1942 | + | 1.21556i | −0.790915 | + | 0.0414501i | ||||
\(861\) | −10.3050 | − | 48.4814i | −0.351195 | − | 1.65224i | ||||
\(862\) | −5.27896 | − | 3.04781i | −0.179802 | − | 0.103809i | ||||
\(863\) | 15.8598 | + | 15.8598i | 0.539874 | + | 0.539874i | 0.923492 | − | 0.383618i | \(-0.125322\pi\) |
−0.383618 | + | 0.923492i | \(0.625322\pi\) | |||||||
\(864\) | 1.19048 | − | 22.7158i | 0.0405011 | − | 0.772806i | ||||
\(865\) | 9.17565 | + | 3.52220i | 0.311982 | + | 0.119759i | ||||
\(866\) | 0.845205 | − | 5.33642i | 0.0287212 | − | 0.181339i | ||||
\(867\) | 19.9346 | + | 11.5092i | 0.677013 | + | 0.390874i | ||||
\(868\) | −7.16677 | + | 27.8674i | −0.243256 | + | 0.945880i | ||||
\(869\) | −2.92792 | + | 10.9271i | −0.0993228 | + | 0.370678i | ||||
\(870\) | −2.22962 | − | 3.06880i | −0.0755911 | − | 0.104042i | ||||
\(871\) | −23.1471 | + | 5.94346i | −0.784310 | + | 0.201387i | ||||
\(872\) | 0.279596 | − | 0.860507i | 0.00946830 | − | 0.0291404i | ||||
\(873\) | −63.8476 | − | 17.1079i | −2.16091 | − | 0.579015i | ||||
\(874\) | 5.88956 | − | 3.40034i | 0.199217 | − | 0.115018i | ||||
\(875\) | −21.4917 | + | 19.3512i | −0.726551 | + | 0.654190i | ||||
\(876\) | 63.0033 | + | 32.1018i | 2.12868 | + | 1.08462i | ||||
\(877\) | 33.0226 | − | 21.4451i | 1.11509 | − | 0.724150i | 0.150689 | − | 0.988581i | \(-0.451851\pi\) |
0.964405 | + | 0.264431i | \(0.0851841\pi\) | |||||||
\(878\) | −4.21752 | + | 5.20820i | −0.142334 | + | 0.175768i | ||||
\(879\) | 7.87451 | + | 15.4546i | 0.265601 | + | 0.521271i | ||||
\(880\) | −11.4521 | + | 1.20367i | −0.386051 | + | 0.0405756i | ||||
\(881\) | 4.59377 | − | 43.7068i | 0.154768 | − | 1.47252i | −0.591192 | − | 0.806531i | \(-0.701343\pi\) |
0.745961 | − | 0.665990i | \(-0.231991\pi\) | |||||||
\(882\) | 0.0641337 | − | 0.00336110i | 0.00215949 | − | 0.000113174i | ||||
\(883\) | 7.56575 | + | 5.49684i | 0.254608 | + | 0.184983i | 0.707767 | − | 0.706446i | \(-0.249703\pi\) |
−0.453159 | + | 0.891430i | \(0.649703\pi\) | |||||||
\(884\) | −17.8391 | + | 30.1651i | −0.599995 | + | 1.01456i | ||||
\(885\) | −43.2424 | + | 14.0503i | −1.45358 | + | 0.472296i | ||||
\(886\) | 3.29474 | + | 4.06867i | 0.110689 | + | 0.136690i | ||||
\(887\) | 22.6424 | + | 10.0810i | 0.760257 | + | 0.338488i | 0.749981 | − | 0.661459i | \(-0.230062\pi\) |
0.0102758 | + | 0.999947i | \(0.496729\pi\) | |||||||
\(888\) | 9.54007 | − | 8.58992i | 0.320144 | − | 0.288259i | ||||
\(889\) | 27.0075 | + | 4.27756i | 0.905802 | + | 0.143465i | ||||
\(890\) | 1.24418 | + | 1.91587i | 0.0417050 | + | 0.0642201i | ||||
\(891\) | 21.3363 | − | 13.8559i | 0.714792 | − | 0.464191i | ||||
\(892\) | −16.6593 | − | 32.6958i | −0.557796 | − | 1.09474i | ||||
\(893\) | 21.8298 | − | 37.8104i | 0.730507 | − | 1.26528i | ||||
\(894\) | −3.21704 | − | 5.57207i | −0.107594 | − | 0.186358i | ||||
\(895\) | 4.51204 | − | 6.94793i | 0.150821 | − | 0.232244i | ||||
\(896\) | −9.36156 | + | 12.8851i | −0.312748 | + | 0.430460i | ||||
\(897\) | −30.5738 | + | 90.8518i | −1.02083 | + | 3.03345i | ||||
\(898\) | 2.91625i | 0.0973164i | ||||||||
\(899\) | −25.6056 | + | 5.71299i | −0.853995 | + | 0.190539i | ||||
\(900\) | −19.6437 | − | 34.0240i | −0.654791 | − | 1.13413i | ||||
\(901\) | −45.8623 | + | 4.82033i | −1.52790 | + | 0.160588i | ||||
\(902\) | 0.440226 | + | 2.77948i | 0.0146579 | + | 0.0925465i | ||||
\(903\) | −70.9489 | − | 3.71827i | −2.36103 | − | 0.123736i | ||||
\(904\) | −1.93553 | + | 0.518624i | −0.0643748 | + | 0.0172492i | ||||
\(905\) | −1.46812 | + | 1.46812i | −0.0488020 | + | 0.0488020i | ||||
\(906\) | 6.88278 | + | 7.64411i | 0.228665 | + | 0.253958i | ||||
\(907\) | 7.65332 | + | 6.89108i | 0.254124 | + | 0.228814i | 0.786340 | − | 0.617795i | \(-0.211974\pi\) |
−0.532215 | + | 0.846609i | \(0.678640\pi\) | |||||||
\(908\) | −29.9597 | + | 1.57012i | −0.994247 | + | 0.0521063i | ||||
\(909\) | −4.01020 | − | 5.51957i | −0.133010 | − | 0.183073i | ||||
\(910\) | −2.51634 | + | 0.105496i | −0.0834159 | + | 0.00349717i | ||||
\(911\) | 17.2336 | + | 23.7200i | 0.570973 | + | 0.785877i | 0.992670 | − | 0.120860i | \(-0.0385651\pi\) |
−0.421696 | + | 0.906737i | \(0.638565\pi\) | |||||||
\(912\) | 34.8009 | − | 28.1812i | 1.15237 | − | 0.933173i | ||||
\(913\) | 9.00134 | − | 9.99701i | 0.297901 | − | 0.330853i | ||||
\(914\) | 4.27810 | − | 1.90473i | 0.141507 | − | 0.0630029i | ||||
\(915\) | 19.7922 | − | 3.13478i | 0.654310 | − | 0.103632i | ||||
\(916\) | −13.3926 | − | 20.6228i | −0.442504 | − | 0.681396i | ||||
\(917\) | −35.9678 | − | 13.8068i | −1.18776 | − | 0.455939i | ||||
\(918\) | −9.53081 | − | 1.50953i | −0.314563 | − | 0.0498220i | ||||
\(919\) | 8.75213 | + | 9.72022i | 0.288706 | + | 0.320641i | 0.869999 | − | 0.493054i | \(-0.164119\pi\) |
−0.581293 | + | 0.813695i | \(0.697453\pi\) | |||||||
\(920\) | 8.39146 | + | 3.73612i | 0.276658 | + | 0.123176i | ||||
\(921\) | 0.127020 | + | 2.42369i | 0.00418545 | + | 0.0798632i | ||||
\(922\) | −1.00497 | − | 3.09298i | −0.0330969 | − | 0.101862i | ||||
\(923\) | 9.79136 | − | 18.7297i | 0.322286 | − | 0.616495i | ||||
\(924\) | −35.9611 | −1.18303 | ||||||||
\(925\) | 4.47648 | − | 16.7064i | 0.147186 | − | 0.549304i | ||||
\(926\) | 0.413236 | + | 1.94412i | 0.0135798 | + | 0.0638878i | ||||
\(927\) | −10.8827 | − | 24.4429i | −0.357435 | − | 0.802812i | ||||
\(928\) | −10.7949 | − | 1.70974i | −0.354359 | − | 0.0561250i | ||||
\(929\) | 41.8693 | − | 11.2188i | 1.37369 | − | 0.368078i | 0.504862 | − | 0.863200i | \(-0.331543\pi\) |
0.868823 | + | 0.495122i | \(0.164877\pi\) | |||||||
\(930\) | −4.45267 | + | 0.513423i | −0.146009 | + | 0.0168358i | ||||
\(931\) | 0.143823 | + | 0.143823i | 0.00471360 | + | 0.00471360i | ||||
\(932\) | 1.27980 | + | 12.1765i | 0.0419213 | + | 0.398855i | ||||
\(933\) | −5.76331 | + | 54.8342i | −0.188682 | + | 1.79519i | ||||
\(934\) | −1.62098 | − | 1.05267i | −0.0530400 | − | 0.0344446i | ||||
\(935\) | 15.1619i | 0.495846i | ||||||||
\(936\) | 2.94373 | − | 17.4056i | 0.0962187 | − | 0.568921i | ||||
\(937\) | −14.5630 | + | 44.8204i | −0.475753 | + | 1.46422i | 0.369186 | + | 0.929356i | \(0.379637\pi\) |
−0.844939 | + | 0.534863i | \(0.820363\pi\) | |||||||
\(938\) | 0.181482 | + | 3.46289i | 0.00592561 | + | 0.113067i | ||||
\(939\) | 46.6455 | − | 51.8050i | 1.52222 | − | 1.69059i | ||||
\(940\) | 29.0321 | − | 3.05140i | 0.946923 | − | 0.0995256i | ||||
\(941\) | −15.5164 | + | 7.90600i | −0.505820 | + | 0.257728i | −0.688228 | − | 0.725495i | \(-0.741611\pi\) |
0.182407 | + | 0.983223i | \(0.441611\pi\) | |||||||
\(942\) | −0.0196244 | + | 0.0242341i | −0.000639396 | + | 0.000789589i | ||||
\(943\) | −19.4136 | + | 50.5742i | −0.632194 | + | 1.64692i | ||||
\(944\) | −19.1621 | + | 37.6077i | −0.623672 | + | 1.22403i | ||||
\(945\) | 14.0381 | + | 31.5301i | 0.456659 | + | 1.02567i | ||||
\(946\) | 4.01170 | + | 0.421647i | 0.130432 | + | 0.0137089i | ||||
\(947\) | 2.42147 | + | 46.2044i | 0.0786871 | + | 1.50144i | 0.697888 | + | 0.716207i | \(0.254123\pi\) |
−0.619201 | + | 0.785233i | \(0.712543\pi\) | |||||||
\(948\) | 17.2894 | − | 23.7969i | 0.561535 | − | 0.772886i | ||||
\(949\) | 35.6542 | + | 23.6880i | 1.15739 | + | 0.768945i | ||||
\(950\) | −0.772562 | + | 2.37770i | −0.0250652 | + | 0.0771428i | ||||
\(951\) | −23.8836 | − | 62.2189i | −0.774479 | − | 2.01759i | ||||
\(952\) | 7.63392 | + | 6.87361i | 0.247417 | + | 0.222775i | ||||
\(953\) | 27.7216 | + | 5.89241i | 0.897992 | + | 0.190874i | 0.633709 | − | 0.773571i | \(-0.281532\pi\) |
0.264282 | + | 0.964445i | \(0.414865\pi\) | |||||||
\(954\) | 10.2456 | − | 5.22038i | 0.331712 | − | 0.169016i | ||||
\(955\) | 4.90482 | + | 18.3051i | 0.158716 | + | 0.592338i | ||||
\(956\) | −6.55319 | − | 24.4569i | −0.211945 | − | 0.790991i | ||||
\(957\) | −14.8854 | − | 29.2143i | −0.481177 | − | 0.944363i | ||||
\(958\) | −5.50284 | + | 2.45002i | −0.177789 | + | 0.0791566i | ||||
\(959\) | −5.74266 | − | 2.55680i | −0.185440 | − | 0.0825632i | ||||
\(960\) | 27.6986 | + | 7.42182i | 0.893969 | + | 0.239538i | ||||
\(961\) | −8.98325 | + | 29.6699i | −0.289782 | + | 0.957093i | ||||
\(962\) | 3.13581 | − | 2.22856i | 0.101103 | − | 0.0718518i | ||||
\(963\) | −38.9047 | + | 28.2659i | −1.25369 | + | 0.910857i | ||||
\(964\) | 7.23490 | − | 5.85870i | 0.233020 | − | 0.188696i | ||||
\(965\) | 25.7385 | − | 5.47089i | 0.828552 | − | 0.176114i | ||||
\(966\) | 12.0457 | + | 6.95461i | 0.387565 | + | 0.223761i | ||||
\(967\) | −25.0828 | − | 25.0828i | −0.806608 | − | 0.806608i | 0.177511 | − | 0.984119i | \(-0.443195\pi\) |
−0.984119 | + | 0.177511i | \(0.943195\pi\) | |||||||
\(968\) | −4.51630 | − | 0.236689i | −0.145159 | − | 0.00760748i | ||||
\(969\) | −32.1127 | − | 49.4492i | −1.03161 | − | 1.58854i | ||||
\(970\) | −1.27682 | + | 2.50589i | −0.0409961 | + | 0.0804593i | ||||
\(971\) | −3.58683 | − | 34.1264i | −0.115107 | − | 1.09517i | −0.887749 | − | 0.460328i | \(-0.847732\pi\) |
0.772642 | − | 0.634842i | \(-0.218935\pi\) | |||||||
\(972\) | −8.28242 | + | 1.76048i | −0.265659 | + | 0.0564675i | ||||
\(973\) | 41.9839 | − | 16.1161i | 1.34594 | − | 0.516659i | ||||
\(974\) | −0.527011 | − | 0.382896i | −0.0168865 | − | 0.0122688i | ||||
\(975\) | −13.9956 | − | 32.3410i | −0.448219 | − | 1.03574i | ||||
\(976\) | 10.9342 | − | 15.0496i | 0.349994 | − | 0.481725i | ||||
\(977\) | 5.59272 | + | 6.90644i | 0.178927 | + | 0.220957i | 0.858717 | − | 0.512451i | \(-0.171262\pi\) |
−0.679790 | + | 0.733407i | \(0.737929\pi\) | |||||||
\(978\) | 1.35164 | + | 1.21703i | 0.0432208 | + | 0.0389162i | ||||
\(979\) | 8.03139 | + | 18.0388i | 0.256684 | + | 0.576523i | ||||
\(980\) | −0.0212745 | + | 0.134322i | −0.000679588 | + | 0.00429075i | ||||
\(981\) | −7.15887 | − | 0.375180i | −0.228565 | − | 0.0119786i | ||||
\(982\) | −4.69189 | − | 3.79941i | −0.149724 | − | 0.121244i | ||||
\(983\) | 50.7160 | + | 25.8411i | 1.61759 | + | 0.824203i | 0.999267 | + | 0.0382790i | \(0.0121876\pi\) |
0.618323 | + | 0.785924i | \(0.287812\pi\) | |||||||
\(984\) | 3.07322 | − | 14.4583i | 0.0979706 | − | 0.460915i | ||||
\(985\) | 8.53214 | − | 1.81356i | 0.271857 | − | 0.0577849i | ||||
\(986\) | −1.20000 | + | 4.47845i | −0.0382157 | + | 0.142623i | ||||
\(987\) | 89.2958 | 2.84232 | ||||||||
\(988\) | 23.3674 | − | 14.8298i | 0.743416 | − | 0.471799i | ||||
\(989\) | 62.8211 | + | 45.6422i | 1.99759 | + | 1.45134i | ||||
\(990\) | −1.35486 | − | 3.52953i | −0.0430603 | − | 0.112176i | ||||
\(991\) | −15.2431 | + | 8.80062i | −0.484214 | + | 0.279561i | −0.722171 | − | 0.691715i | \(-0.756856\pi\) |
0.237957 | + | 0.971276i | \(0.423522\pi\) | |||||||
\(992\) | −8.02573 | + | 10.1178i | −0.254817 | + | 0.321241i | ||||
\(993\) | −27.9324 | + | 27.9324i | −0.886407 | + | 0.886407i | ||||
\(994\) | −2.38325 | − | 1.92992i | −0.0755922 | − | 0.0612133i | ||||
\(995\) | 10.8509 | − | 28.2677i | 0.343998 | − | 0.896145i | ||||
\(996\) | −31.1657 | + | 15.8797i | −0.987523 | + | 0.503168i | ||||
\(997\) | −4.00876 | + | 6.94338i | −0.126959 | + | 0.219899i | −0.922497 | − | 0.386004i | \(-0.873855\pi\) |
0.795538 | + | 0.605904i | \(0.207188\pi\) | |||||||
\(998\) | 3.69821 | + | 6.40548i | 0.117065 | + | 0.202762i | ||||
\(999\) | −44.2144 | − | 28.7131i | −1.39888 | − | 0.908444i |
(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 | 403.2.cb.a.15.20 | ✓ | 576 | |
13.7 | odd | 12 | inner | 403.2.cb.a.46.20 | yes | 576 | |
31.29 | odd | 10 | inner | 403.2.cb.a.184.20 | yes | 576 | |
403.215 | even | 60 | inner | 403.2.cb.a.215.20 | yes | 576 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.cb.a.15.20 | ✓ | 576 | 1.1 | even | 1 | trivial | |
403.2.cb.a.46.20 | yes | 576 | 13.7 | odd | 12 | inner | |
403.2.cb.a.184.20 | yes | 576 | 31.29 | odd | 10 | inner | |
403.2.cb.a.215.20 | yes | 576 | 403.215 | even | 60 | inner |