Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [693,2,Mod(64,693)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(693, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("693.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 693 = 3^{2} \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 693.m (of order \(5\), 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: | \(5.53363286007\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 3 x^{15} + 14 x^{14} - 32 x^{13} + 86 x^{12} - 145 x^{11} + 245 x^{10} - 245 x^{9} + 640 x^{8} - 1175 x^{7} + 2135 x^{6} - 2300 x^{5} + 1850 x^{4} - 925 x^{3} + 700 x^{2} + \cdots + 25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 5 \) |
Twist minimal: | no (minimal twist has level 77) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 379.3 | ||
Root | \(0.435488 + 1.34029i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 693.379 |
Dual form | 693.2.m.i.64.3 |
$q$-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 \(\left(\mathbb{Z}/693\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(442\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.435488 | + | 1.34029i | 0.307936 | + | 0.947730i | 0.978565 | + | 0.205937i | \(0.0660243\pi\) |
−0.670629 | + | 0.741793i | \(0.733976\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.0112975 | − | 0.00820814i | 0.00564876 | − | 0.00410407i | ||||
\(5\) | 0.565930 | − | 1.74175i | 0.253091 | − | 0.778935i | −0.741108 | − | 0.671385i | \(-0.765700\pi\) |
0.994200 | − | 0.107550i | \(-0.0343005\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.809017 | + | 0.587785i | −0.305780 | + | 0.222162i | ||||
\(8\) | 2.29616 | + | 1.66826i | 0.811817 | + | 0.589819i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.58091 | 0.816157 | ||||||||
\(11\) | 2.26009 | + | 2.42734i | 0.681444 | + | 0.731871i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.43602 | − | 4.41961i | −0.398280 | − | 1.22578i | −0.926377 | − | 0.376596i | \(-0.877094\pi\) |
0.528097 | − | 0.849184i | \(-0.322906\pi\) | |||||||
\(14\) | −1.14012 | − | 0.828347i | −0.304710 | − | 0.221385i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.22738 | + | 3.77748i | −0.306844 | + | 0.944370i | ||||
\(17\) | 1.69039 | − | 5.20248i | 0.409980 | − | 1.26179i | −0.506685 | − | 0.862131i | \(-0.669129\pi\) |
0.916665 | − | 0.399656i | \(-0.130871\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.69325 | + | 3.40985i | 1.07671 | + | 0.782272i | 0.977106 | − | 0.212755i | \(-0.0682437\pi\) |
0.0995999 | + | 0.995028i | \(0.468244\pi\) | |||||||
\(20\) | −0.00790293 | − | 0.0243227i | −0.00176715 | − | 0.00543873i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.26911 | + | 4.08626i | −0.483775 | + | 0.871194i | ||||
\(23\) | 0.719682 | 0.150064 | 0.0750321 | − | 0.997181i | \(-0.476094\pi\) | ||||
0.0750321 | + | 0.997181i | \(0.476094\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.33166 | + | 0.967509i | 0.266332 | + | 0.193502i | ||||
\(26\) | 5.29821 | − | 3.84937i | 1.03906 | − | 0.754924i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.00431527 | + | 0.0132810i | −0.000815510 | + | 0.00250988i | ||||
\(29\) | −0.948551 | + | 0.689163i | −0.176142 | + | 0.127974i | −0.672363 | − | 0.740222i | \(-0.734720\pi\) |
0.496221 | + | 0.868196i | \(0.334720\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.404153 | − | 1.24385i | −0.0725879 | − | 0.223403i | 0.908180 | − | 0.418580i | \(-0.137472\pi\) |
−0.980768 | + | 0.195177i | \(0.937472\pi\) | |||||||
\(32\) | 0.0789938 | 0.0139643 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 7.70900 | 1.32208 | ||||||||
\(35\) | 0.565930 | + | 1.74175i | 0.0956595 | + | 0.294410i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.69468 | + | 1.23126i | −0.278604 | + | 0.202417i | −0.718308 | − | 0.695725i | \(-0.755083\pi\) |
0.439705 | + | 0.898142i | \(0.355083\pi\) | |||||||
\(38\) | −2.52634 | + | 7.77528i | −0.409827 | + | 1.26132i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 4.20516 | − | 3.05523i | 0.664895 | − | 0.483074i | ||||
\(41\) | −0.741582 | − | 0.538791i | −0.115816 | − | 0.0841449i | 0.528370 | − | 0.849014i | \(-0.322803\pi\) |
−0.644185 | + | 0.764869i | \(0.722803\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 8.02379 | 1.22362 | 0.611808 | − | 0.791006i | \(-0.290442\pi\) | ||||
0.611808 | + | 0.791006i | \(0.290442\pi\) | |||||||
\(44\) | 0.0454574 | + | 0.00887181i | 0.00685296 | + | 0.00133748i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.313413 | + | 0.964586i | 0.0462102 | + | 0.142220i | ||||
\(47\) | 4.83455 | + | 3.51251i | 0.705192 | + | 0.512352i | 0.881619 | − | 0.471962i | \(-0.156454\pi\) |
−0.176427 | + | 0.984314i | \(0.556454\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.309017 | − | 0.951057i | 0.0441453 | − | 0.135865i | ||||
\(50\) | −0.716823 | + | 2.20615i | −0.101374 | + | 0.311997i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.0525003 | − | 0.0381437i | −0.00728048 | − | 0.00528958i | ||||
\(53\) | −3.13496 | − | 9.64840i | −0.430619 | − | 1.32531i | −0.897510 | − | 0.440995i | \(-0.854626\pi\) |
0.466890 | − | 0.884315i | \(-0.345374\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.50688 | − | 2.56282i | 0.742547 | − | 0.345570i | ||||
\(56\) | −2.83822 | −0.379272 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.33676 | − | 0.971215i | −0.175526 | − | 0.127527i | ||||
\(59\) | −6.21390 | + | 4.51466i | −0.808981 | + | 0.587759i | −0.913535 | − | 0.406760i | \(-0.866659\pi\) |
0.104554 | + | 0.994519i | \(0.466659\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.93943 | + | 5.96895i | −0.248318 | + | 0.764246i | 0.746754 | + | 0.665100i | \(0.231611\pi\) |
−0.995073 | + | 0.0991458i | \(0.968389\pi\) | |||||||
\(62\) | 1.49113 | − | 1.08337i | 0.189373 | − | 0.137588i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 2.48916 | + | 7.66083i | 0.311144 | + | 0.957604i | ||||
\(65\) | −8.51056 | −1.05560 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −15.4673 | −1.88963 | −0.944814 | − | 0.327608i | \(-0.893758\pi\) | ||||
−0.944814 | + | 0.327608i | \(0.893758\pi\) | |||||||
\(68\) | −0.0236055 | − | 0.0726501i | −0.00286258 | − | 0.00881012i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −2.08800 | + | 1.51702i | −0.249564 | + | 0.181319i | ||||
\(71\) | −4.29593 | + | 13.2215i | −0.509833 | + | 1.56910i | 0.282659 | + | 0.959221i | \(0.408784\pi\) |
−0.792491 | + | 0.609883i | \(0.791216\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.86593 | + | 3.53531i | −0.569514 | + | 0.413776i | −0.834929 | − | 0.550358i | \(-0.814491\pi\) |
0.265414 | + | 0.964134i | \(0.414491\pi\) | |||||||
\(74\) | −2.38826 | − | 1.73517i | −0.277629 | − | 0.201709i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.0810106 | 0.00929255 | ||||||||
\(77\) | −3.25521 | − | 0.635311i | −0.370965 | − | 0.0724004i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.83332 | − | 14.8754i | −0.543791 | − | 1.67362i | −0.723848 | − | 0.689959i | \(-0.757628\pi\) |
0.180058 | − | 0.983656i | \(-0.442372\pi\) | |||||||
\(80\) | 5.88482 | + | 4.27557i | 0.657943 | + | 0.478024i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.399188 | − | 1.22857i | 0.0440829 | − | 0.135673i | ||||
\(83\) | 1.35217 | − | 4.16157i | 0.148420 | − | 0.456791i | −0.849015 | − | 0.528370i | \(-0.822804\pi\) |
0.997435 | + | 0.0715783i | \(0.0228036\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −8.10479 | − | 5.88848i | −0.879088 | − | 0.638695i | ||||
\(86\) | 3.49426 | + | 10.7542i | 0.376796 | + | 1.15966i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.14011 | + | 9.34400i | 0.121536 | + | 0.996073i | ||||
\(89\) | −15.3437 | −1.62643 | −0.813215 | − | 0.581963i | \(-0.802285\pi\) | ||||
−0.813215 | + | 0.581963i | \(0.802285\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.75955 | + | 2.73147i | 0.394108 | + | 0.286336i | ||||
\(92\) | 0.00813063 | − | 0.00590725i | 0.000847677 | − | 0.000615873i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.60240 | + | 8.00937i | −0.268417 | + | 0.826104i | ||||
\(95\) | 8.59515 | − | 6.24474i | 0.881844 | − | 0.640697i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.745114 | + | 2.29323i | 0.0756549 | + | 0.232842i | 0.981731 | − | 0.190272i | \(-0.0609370\pi\) |
−0.906077 | + | 0.423114i | \(0.860937\pi\) | |||||||
\(98\) | 1.40927 | 0.142358 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.0229859 | 0.00229859 | ||||||||
\(101\) | −3.67603 | − | 11.3136i | −0.365778 | − | 1.12575i | −0.949492 | − | 0.313790i | \(-0.898401\pi\) |
0.583714 | − | 0.811959i | \(-0.301599\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.320625 | + | 0.232947i | −0.0315921 | + | 0.0229530i | −0.603469 | − | 0.797386i | \(-0.706215\pi\) |
0.571877 | + | 0.820339i | \(0.306215\pi\) | |||||||
\(104\) | 4.07573 | − | 12.5438i | 0.399658 | − | 1.23002i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 11.5665 | − | 8.40352i | 1.12343 | − | 0.816222i | ||||
\(107\) | −2.64496 | − | 1.92168i | −0.255698 | − | 0.185776i | 0.452550 | − | 0.891739i | \(-0.350514\pi\) |
−0.708248 | + | 0.705963i | \(0.750514\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.84638 | −0.272634 | −0.136317 | − | 0.990665i | \(-0.543527\pi\) | ||||
−0.136317 | + | 0.990665i | \(0.543527\pi\) | |||||||
\(110\) | 5.83310 | + | 6.26476i | 0.556165 | + | 0.597321i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.22738 | − | 3.77748i | −0.115976 | − | 0.356938i | ||||
\(113\) | 11.7668 | + | 8.54906i | 1.10692 | + | 0.804228i | 0.982177 | − | 0.187961i | \(-0.0601878\pi\) |
0.124748 | + | 0.992188i | \(0.460188\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.407290 | − | 1.25351i | 0.0379799 | − | 0.116890i | ||||
\(116\) | −0.00505954 | + | 0.0155717i | −0.000469767 | + | 0.00144579i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −8.75705 | − | 6.36237i | −0.806152 | − | 0.585704i | ||||
\(119\) | 1.69039 | + | 5.20248i | 0.154958 | + | 0.476911i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.783964 | + | 10.9720i | −0.0712695 | + | 0.997457i | ||||
\(122\) | −8.84474 | −0.800765 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.0147756 | − | 0.0107351i | −0.00132689 | − | 0.000964044i | ||||
\(125\) | 9.84690 | − | 7.15419i | 0.880734 | − | 0.639890i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.55524 | − | 4.78655i | 0.138006 | − | 0.424737i | −0.858040 | − | 0.513583i | \(-0.828318\pi\) |
0.996045 | + | 0.0888458i | \(0.0283178\pi\) | |||||||
\(128\) | −9.05595 | + | 6.57953i | −0.800440 | + | 0.581554i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −3.70624 | − | 11.4066i | −0.325059 | − | 1.00043i | ||||
\(131\) | 0.180053 | 0.0157313 | 0.00786565 | − | 0.999969i | \(-0.497496\pi\) | ||||
0.00786565 | + | 0.999969i | \(0.497496\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.80118 | −0.503026 | ||||||||
\(134\) | −6.73581 | − | 20.7307i | −0.581885 | − | 1.79086i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 12.5605 | − | 9.12574i | 1.07705 | − | 0.782526i | ||||
\(137\) | −2.57224 | + | 7.91655i | −0.219762 | + | 0.676357i | 0.779020 | + | 0.627000i | \(0.215717\pi\) |
−0.998781 | + | 0.0493570i | \(0.984283\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 5.63172 | − | 4.09169i | 0.477677 | − | 0.347052i | −0.322749 | − | 0.946485i | \(-0.604607\pi\) |
0.800425 | + | 0.599432i | \(0.204607\pi\) | |||||||
\(140\) | 0.0206901 | + | 0.0150323i | 0.00174864 | + | 0.00127046i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −19.5915 | −1.64408 | ||||||||
\(143\) | 7.48237 | − | 13.4744i | 0.625707 | − | 1.12679i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.663538 | + | 2.04216i | 0.0551038 | + | 0.169592i | ||||
\(146\) | −6.85740 | − | 4.98219i | −0.567523 | − | 0.412329i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.00903937 | + | 0.0278203i | −0.000743031 | + | 0.00228682i | ||||
\(149\) | 0.993277 | − | 3.05699i | 0.0813724 | − | 0.250439i | −0.902091 | − | 0.431546i | \(-0.857968\pi\) |
0.983463 | + | 0.181108i | \(0.0579682\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −18.0144 | − | 13.0882i | −1.46599 | − | 1.06510i | −0.981752 | − | 0.190168i | \(-0.939097\pi\) |
−0.484239 | − | 0.874936i | \(-0.660903\pi\) | |||||||
\(152\) | 5.08796 | + | 15.6591i | 0.412688 | + | 1.27012i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.566100 | − | 4.63960i | −0.0456177 | − | 0.373870i | ||||
\(155\) | −2.39521 | −0.192388 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −10.7233 | − | 7.79096i | −0.855816 | − | 0.621786i | 0.0709277 | − | 0.997481i | \(-0.477404\pi\) |
−0.926743 | + | 0.375695i | \(0.877404\pi\) | |||||||
\(158\) | 17.8326 | − | 12.9561i | 1.41868 | − | 1.03073i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.0447049 | − | 0.137588i | 0.00353423 | − | 0.0108773i | ||||
\(161\) | −0.582235 | + | 0.423019i | −0.0458866 | + | 0.0333385i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 4.23920 | + | 13.0469i | 0.332040 | + | 1.02191i | 0.968162 | + | 0.250325i | \(0.0805375\pi\) |
−0.636122 | + | 0.771589i | \(0.719462\pi\) | |||||||
\(164\) | −0.0128005 | −0.000999552 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 6.16657 | 0.478619 | ||||||||
\(167\) | −2.87651 | − | 8.85300i | −0.222591 | − | 0.685066i | −0.998527 | − | 0.0542539i | \(-0.982722\pi\) |
0.775936 | − | 0.630812i | \(-0.217278\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −6.95361 | + | 5.05209i | −0.534893 | + | 0.388623i | ||||
\(170\) | 4.36275 | − | 13.4272i | 0.334608 | − | 1.02982i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.0906490 | − | 0.0658604i | 0.00691192 | − | 0.00502181i | ||||
\(173\) | 8.49927 | + | 6.17508i | 0.646188 | + | 0.469483i | 0.861970 | − | 0.506959i | \(-0.169230\pi\) |
−0.215783 | + | 0.976441i | \(0.569230\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.64602 | −0.124428 | ||||||||
\(176\) | −11.9432 | + | 5.55819i | −0.900254 | + | 0.418964i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −6.68200 | − | 20.5651i | −0.500837 | − | 1.54142i | ||||
\(179\) | −6.73370 | − | 4.89232i | −0.503300 | − | 0.365669i | 0.306976 | − | 0.951717i | \(-0.400683\pi\) |
−0.810276 | + | 0.586048i | \(0.800683\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.57437 | + | 14.0785i | −0.340010 | + | 1.04644i | 0.624191 | + | 0.781272i | \(0.285429\pi\) |
−0.964201 | + | 0.265172i | \(0.914571\pi\) | |||||||
\(182\) | −2.02374 | + | 6.22842i | −0.150009 | + | 0.461681i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.65251 | + | 1.20062i | 0.121825 | + | 0.0885107i | ||||
\(185\) | 1.18547 | + | 3.64852i | 0.0871578 | + | 0.268244i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 16.4486 | − | 7.65494i | 1.20284 | − | 0.559785i | ||||
\(188\) | 0.0834496 | 0.00608619 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 12.1129 | + | 8.80052i | 0.878760 | + | 0.638457i | ||||
\(191\) | −7.77203 | + | 5.64671i | −0.562364 | + | 0.408582i | −0.832324 | − | 0.554290i | \(-0.812990\pi\) |
0.269959 | + | 0.962872i | \(0.412990\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.459758 | + | 1.41499i | −0.0330941 | + | 0.101853i | −0.966239 | − | 0.257647i | \(-0.917053\pi\) |
0.933145 | + | 0.359500i | \(0.117053\pi\) | |||||||
\(194\) | −2.74911 | + | 1.99734i | −0.197374 | + | 0.143401i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.00431527 | − | 0.0132810i | −0.000308234 | − | 0.000948646i | ||||
\(197\) | 14.0434 | 1.00055 | 0.500274 | − | 0.865867i | \(-0.333233\pi\) | ||||
0.500274 | + | 0.865867i | \(0.333233\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.28729 | −0.303918 | −0.151959 | − | 0.988387i | \(-0.548558\pi\) | ||||
−0.151959 | + | 0.988387i | \(0.548558\pi\) | |||||||
\(200\) | 1.44366 | + | 4.44312i | 0.102082 | + | 0.314176i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 13.5627 | − | 9.85391i | 0.954271 | − | 0.693318i | ||||
\(203\) | 0.362314 | − | 1.11509i | 0.0254295 | − | 0.0782639i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.35812 | + | 0.986734i | −0.0948554 | + | 0.0689165i | ||||
\(206\) | −0.451846 | − | 0.328285i | −0.0314816 | − | 0.0228727i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 18.4575 | 1.27980 | ||||||||
\(209\) | 2.33032 | + | 19.0987i | 0.161192 | + | 1.32108i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.449704 | − | 1.38405i | −0.0309589 | − | 0.0952816i | 0.934383 | − | 0.356270i | \(-0.115952\pi\) |
−0.965342 | + | 0.260988i | \(0.915952\pi\) | |||||||
\(212\) | −0.114613 | − | 0.0832710i | −0.00787163 | − | 0.00571907i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1.42376 | − | 4.38189i | 0.0973264 | − | 0.299540i | ||||
\(215\) | 4.54090 | − | 13.9755i | 0.309687 | − | 0.953118i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.05809 | + | 0.768744i | 0.0718275 | + | 0.0521857i | ||||
\(218\) | −1.23957 | − | 3.81499i | −0.0839540 | − | 0.258384i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.0411782 | − | 0.0741547i | 0.00277623 | − | 0.00499951i | ||||
\(221\) | −25.4204 | −1.70996 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.92893 | + | 2.85453i | 0.263101 | + | 0.191154i | 0.711513 | − | 0.702673i | \(-0.248010\pi\) |
−0.448412 | + | 0.893827i | \(0.648010\pi\) | |||||||
\(224\) | −0.0639073 | + | 0.0464314i | −0.00426999 | + | 0.00310233i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −6.33396 | + | 19.4939i | −0.421329 | + | 1.29672i | ||||
\(227\) | 0.321296 | − | 0.233435i | 0.0213252 | − | 0.0154936i | −0.577072 | − | 0.816694i | \(-0.695805\pi\) |
0.598397 | + | 0.801200i | \(0.295805\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.676634 | + | 2.08246i | 0.0447132 | + | 0.137613i | 0.970921 | − | 0.239401i | \(-0.0769509\pi\) |
−0.926208 | + | 0.377014i | \(0.876951\pi\) | |||||||
\(230\) | 1.85744 | 0.122476 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.32773 | −0.218476 | ||||||||
\(233\) | 0.389410 | + | 1.19848i | 0.0255111 | + | 0.0785150i | 0.963001 | − | 0.269496i | \(-0.0868571\pi\) |
−0.937490 | + | 0.348011i | \(0.886857\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 8.85393 | − | 6.43276i | 0.577567 | − | 0.419627i | ||||
\(236\) | −0.0331448 | + | 0.102009i | −0.00215754 | + | 0.00664023i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −6.23671 | + | 4.53123i | −0.404266 | + | 0.293716i | ||||
\(239\) | −9.02997 | − | 6.56066i | −0.584100 | − | 0.424374i | 0.256100 | − | 0.966650i | \(-0.417562\pi\) |
−0.840200 | + | 0.542277i | \(0.817562\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −21.4843 | −1.38392 | −0.691962 | − | 0.721934i | \(-0.743254\pi\) | ||||
−0.691962 | + | 0.721934i | \(0.743254\pi\) | |||||||
\(242\) | −15.0471 | + | 3.72744i | −0.967267 | + | 0.239609i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0.0270832 | + | 0.0833535i | 0.00173382 | + | 0.00533616i | ||||
\(245\) | −1.48162 | − | 1.07646i | −0.0946574 | − | 0.0687726i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 8.33060 | − | 25.6390i | 0.530063 | − | 1.63137i | ||||
\(248\) | 1.14707 | − | 3.53032i | 0.0728391 | − | 0.224176i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 13.8769 | + | 10.0822i | 0.877653 | + | 0.637652i | ||||
\(251\) | 0.130968 | + | 0.403077i | 0.00826660 | + | 0.0254420i | 0.955105 | − | 0.296268i | \(-0.0957423\pi\) |
−0.946838 | + | 0.321710i | \(0.895742\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.62655 | + | 1.74691i | 0.102260 | + | 0.109828i | ||||
\(254\) | 7.09267 | 0.445033 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.271127 | + | 0.196986i | 0.0169455 | + | 0.0123116i | ||||
\(257\) | 14.1093 | − | 10.2510i | 0.880115 | − | 0.639441i | −0.0531672 | − | 0.998586i | \(-0.516932\pi\) |
0.933282 | + | 0.359145i | \(0.116932\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.647310 | − | 1.99221i | 0.0402219 | − | 0.123790i | ||||
\(260\) | −0.0961483 | + | 0.0698558i | −0.00596286 | + | 0.00433227i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.0784109 | + | 0.241324i | 0.00484424 | + | 0.0149090i | ||||
\(263\) | −1.51519 | −0.0934307 | −0.0467153 | − | 0.998908i | \(-0.514875\pi\) | ||||
−0.0467153 | + | 0.998908i | \(0.514875\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −18.5793 | −1.14132 | ||||||||
\(266\) | −2.52634 | − | 7.77528i | −0.154900 | − | 0.476733i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.174742 | + | 0.126957i | −0.0106741 | + | 0.00775516i | ||||
\(269\) | 0.627622 | − | 1.93162i | 0.0382668 | − | 0.117773i | −0.930098 | − | 0.367311i | \(-0.880279\pi\) |
0.968365 | + | 0.249538i | \(0.0802786\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6.15212 | + | 4.46978i | −0.373715 | + | 0.271520i | −0.758750 | − | 0.651382i | \(-0.774189\pi\) |
0.385035 | + | 0.922902i | \(0.374189\pi\) | |||||||
\(272\) | 17.5775 | + | 12.7708i | 1.06579 | + | 0.774344i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −11.7307 | −0.708676 | ||||||||
\(275\) | 0.661205 | + | 5.41905i | 0.0398722 | + | 0.326781i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 4.45813 | + | 13.7207i | 0.267863 | + | 0.824398i | 0.991020 | + | 0.133714i | \(0.0426903\pi\) |
−0.723157 | + | 0.690684i | \(0.757310\pi\) | |||||||
\(278\) | 7.93661 | + | 5.76628i | 0.476006 | + | 0.345839i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.60623 | + | 4.94347i | −0.0959906 | + | 0.295429i | ||||
\(281\) | −5.48494 | + | 16.8809i | −0.327204 | + | 1.00703i | 0.643232 | + | 0.765672i | \(0.277593\pi\) |
−0.970436 | + | 0.241359i | \(0.922407\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 25.1897 | + | 18.3014i | 1.49737 | + | 1.08790i | 0.971414 | + | 0.237392i | \(0.0762924\pi\) |
0.525956 | + | 0.850512i | \(0.323708\pi\) | |||||||
\(284\) | 0.0599905 | + | 0.184632i | 0.00355978 | + | 0.0109559i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 21.3182 | + | 4.16062i | 1.26057 | + | 0.246022i | ||||
\(287\) | 0.916645 | 0.0541079 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −10.4551 | − | 7.59609i | −0.615007 | − | 0.446829i | ||||
\(290\) | −2.44813 | + | 1.77867i | −0.143759 | + | 0.104447i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.0259547 | + | 0.0798805i | −0.00151889 | + | 0.00467465i | ||||
\(293\) | −19.4409 | + | 14.1247i | −1.13575 | + | 0.825171i | −0.986522 | − | 0.163632i | \(-0.947679\pi\) |
−0.149229 | + | 0.988803i | \(0.547679\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.34679 | + | 13.3781i | 0.253080 | + | 0.778901i | ||||
\(296\) | −5.94532 | −0.345565 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 4.52983 | 0.262406 | ||||||||
\(299\) | −1.03348 | − | 3.18072i | −0.0597676 | − | 0.183946i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −6.49138 | + | 4.71627i | −0.374157 | + | 0.271841i | ||||
\(302\) | 9.69701 | − | 29.8443i | 0.558000 | − | 1.71735i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −18.6410 | + | 13.5435i | −1.06914 | + | 0.776772i | ||||
\(305\) | 9.29885 | + | 6.75601i | 0.532450 | + | 0.386848i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −5.46298 | −0.311789 | −0.155894 | − | 0.987774i | \(-0.549826\pi\) | ||||
−0.155894 | + | 0.987774i | \(0.549826\pi\) | |||||||
\(308\) | −0.0419905 | + | 0.0195417i | −0.00239263 | + | 0.00111349i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1.04308 | − | 3.21028i | −0.0592431 | − | 0.182332i | ||||
\(311\) | 11.2360 | + | 8.16342i | 0.637134 | + | 0.462905i | 0.858864 | − | 0.512203i | \(-0.171170\pi\) |
−0.221730 | + | 0.975108i | \(0.571170\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 8.48207 | − | 26.1051i | 0.479435 | − | 1.47555i | −0.360447 | − | 0.932780i | \(-0.617376\pi\) |
0.839882 | − | 0.542770i | \(-0.182624\pi\) | |||||||
\(314\) | 5.77229 | − | 17.7653i | 0.325749 | − | 1.00255i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.176704 | − | 0.128383i | −0.00994038 | − | 0.00722211i | ||||
\(317\) | −2.41828 | − | 7.44269i | −0.135824 | − | 0.418023i | 0.859893 | − | 0.510474i | \(-0.170530\pi\) |
−0.995717 | + | 0.0924507i | \(0.970530\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3.81665 | − | 0.744885i | −0.213691 | − | 0.0417056i | ||||
\(320\) | 14.7520 | 0.824659 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.820525 | − | 0.596147i | −0.0457261 | − | 0.0332220i | ||||
\(323\) | 25.6731 | − | 18.6526i | 1.42849 | − | 1.03786i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.36372 | − | 7.27479i | 0.131116 | − | 0.403533i | ||||
\(326\) | −15.6406 | + | 11.3635i | −0.866252 | + | 0.629369i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.803950 | − | 2.47430i | −0.0443907 | − | 0.136621i | ||||
\(329\) | −5.97584 | −0.329458 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −28.1462 | −1.54705 | −0.773527 | − | 0.633764i | \(-0.781509\pi\) | ||||
−0.773527 | + | 0.633764i | \(0.781509\pi\) | |||||||
\(332\) | −0.0188825 | − | 0.0581143i | −0.00103631 | − | 0.00318943i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 10.6129 | − | 7.71075i | 0.580714 | − | 0.421913i | ||||
\(335\) | −8.75338 | + | 26.9401i | −0.478248 | + | 1.47190i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 20.2084 | − | 14.6823i | 1.10082 | − | 0.799793i | 0.119628 | − | 0.992819i | \(-0.461830\pi\) |
0.981194 | + | 0.193025i | \(0.0618300\pi\) | |||||||
\(338\) | −9.79950 | − | 7.11975i | −0.533022 | − | 0.387263i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.139898 | −0.00758701 | ||||||||
\(341\) | 2.10583 | − | 3.79224i | 0.114037 | − | 0.205361i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0.309017 | + | 0.951057i | 0.0166853 | + | 0.0513522i | ||||
\(344\) | 18.4239 | + | 13.3858i | 0.993352 | + | 0.721713i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −4.57509 | + | 14.0807i | −0.245959 | + | 0.756983i | ||||
\(347\) | −6.38096 | + | 19.6386i | −0.342548 | + | 1.05425i | 0.620335 | + | 0.784337i | \(0.286997\pi\) |
−0.962883 | + | 0.269918i | \(0.913003\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.85185 | + | 3.52507i | 0.259713 | + | 0.188693i | 0.710021 | − | 0.704181i | \(-0.248686\pi\) |
−0.450307 | + | 0.892874i | \(0.648686\pi\) | |||||||
\(350\) | −0.716823 | − | 2.20615i | −0.0383158 | − | 0.117924i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.178533 | + | 0.191745i | 0.00951585 | + | 0.0102200i | ||||
\(353\) | −24.0382 | −1.27942 | −0.639712 | − | 0.768615i | \(-0.720946\pi\) | ||||
−0.639712 | + | 0.768615i | \(0.720946\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 20.5974 | + | 14.9649i | 1.09320 | + | 0.794253i | ||||
\(356\) | −0.173346 | + | 0.125943i | −0.00918732 | + | 0.00667498i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 3.62470 | − | 11.1557i | 0.191571 | − | 0.589596i | ||||
\(359\) | −8.85883 | + | 6.43632i | −0.467551 | + | 0.339696i | −0.796486 | − | 0.604657i | \(-0.793310\pi\) |
0.328935 | + | 0.944353i | \(0.393310\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 4.52822 | + | 13.9364i | 0.238328 | + | 0.733497i | ||||
\(362\) | −20.8613 | −1.09645 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.0648939 | 0.00340136 | ||||||||
\(365\) | 3.40385 | + | 10.4760i | 0.178166 | + | 0.548338i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −8.58995 | + | 6.24096i | −0.448392 | + | 0.325776i | −0.788960 | − | 0.614444i | \(-0.789380\pi\) |
0.340569 | + | 0.940220i | \(0.389380\pi\) | |||||||
\(368\) | −0.883322 | + | 2.71859i | −0.0460463 | + | 0.141716i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −4.37382 | + | 3.17777i | −0.227384 | + | 0.165204i | ||||
\(371\) | 8.20742 | + | 5.96304i | 0.426108 | + | 0.309586i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 36.6036 | 1.89526 | 0.947631 | − | 0.319367i | \(-0.103470\pi\) | ||||
0.947631 | + | 0.319367i | \(0.103470\pi\) | |||||||
\(374\) | 17.4230 | + | 18.7124i | 0.900924 | + | 0.967593i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.24115 | + | 16.1306i | 0.270292 | + | 0.831872i | ||||
\(377\) | 4.40797 | + | 3.20258i | 0.227022 | + | 0.164941i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −3.91147 | + | 12.0383i | −0.200919 | + | 0.618364i | 0.798938 | + | 0.601414i | \(0.205396\pi\) |
−0.999856 | + | 0.0169501i | \(0.994604\pi\) | |||||||
\(380\) | 0.0458463 | − | 0.141100i | 0.00235187 | − | 0.00723830i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −10.9529 | − | 7.95773i | −0.560398 | − | 0.407153i | ||||
\(383\) | 4.77984 | + | 14.7108i | 0.244238 | + | 0.751688i | 0.995761 | + | 0.0919809i | \(0.0293199\pi\) |
−0.751522 | + | 0.659708i | \(0.770680\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.94877 | + | 5.31022i | −0.150283 | + | 0.270634i | ||||
\(386\) | −2.09672 | −0.106720 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0.0272411 | + | 0.0197918i | 0.00138296 | + | 0.00100478i | ||||
\(389\) | −10.2850 | + | 7.47249i | −0.521470 | + | 0.378870i | −0.817157 | − | 0.576415i | \(-0.804451\pi\) |
0.295687 | + | 0.955285i | \(0.404451\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.21654 | − | 3.74414i | 0.0615232 | − | 0.189349i | ||||
\(392\) | 2.29616 | − | 1.66826i | 0.115974 | − | 0.0842599i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 6.11571 | + | 18.8222i | 0.308105 | + | 0.948250i | ||||
\(395\) | −28.6446 | −1.44127 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −18.9574 | −0.951445 | −0.475722 | − | 0.879596i | \(-0.657813\pi\) | ||||
−0.475722 | + | 0.879596i | \(0.657813\pi\) | |||||||
\(398\) | −1.86706 | − | 5.74622i | −0.0935873 | − | 0.288032i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.28919 | + | 3.84282i | −0.264460 | + | 0.192141i | ||||
\(401\) | 2.68291 | − | 8.25715i | 0.133978 | − | 0.412343i | −0.861451 | − | 0.507840i | \(-0.830444\pi\) |
0.995430 | + | 0.0954974i | \(0.0304442\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −4.91698 | + | 3.57240i | −0.244932 | + | 0.177954i | ||||
\(404\) | −0.134394 | − | 0.0976429i | −0.00668635 | − | 0.00485792i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 1.65233 | 0.0820037 | ||||||||
\(407\) | −6.81881 | − | 1.33081i | −0.337996 | − | 0.0659658i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.76574 | + | 5.43440i | 0.0873104 | + | 0.268714i | 0.985173 | − | 0.171561i | \(-0.0548811\pi\) |
−0.897863 | + | 0.440275i | \(0.854881\pi\) | |||||||
\(410\) | −1.91396 | − | 1.39057i | −0.0945237 | − | 0.0686755i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.00171020 | + | 0.00526346i | −8.42556e−5 | + | 0.000259312i | ||||
\(413\) | 2.37350 | − | 7.30488i | 0.116792 | − | 0.359450i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −6.48318 | − | 4.71031i | −0.318247 | − | 0.231220i | ||||
\(416\) | −0.113437 | − | 0.349122i | −0.00556169 | − | 0.0171171i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −24.5830 | + | 11.4406i | −1.20239 | + | 0.559576i | ||||
\(419\) | 27.1909 | 1.32836 | 0.664181 | − | 0.747571i | \(-0.268780\pi\) | ||||
0.664181 | + | 0.747571i | \(0.268780\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 19.3881 | + | 14.0863i | 0.944921 | + | 0.686525i | 0.949600 | − | 0.313464i | \(-0.101490\pi\) |
−0.00467947 | + | 0.999989i | \(0.501490\pi\) | |||||||
\(422\) | 1.65919 | − | 1.20547i | 0.0807679 | − | 0.0586813i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 8.89768 | − | 27.3842i | 0.432110 | − | 1.32990i | ||||
\(425\) | 7.28447 | − | 5.29248i | 0.353349 | − | 0.256723i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.93943 | − | 5.96895i | −0.0938555 | − | 0.288858i | ||||
\(428\) | −0.0456549 | −0.00220681 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 20.7087 | 0.998663 | ||||||||
\(431\) | −5.09049 | − | 15.6669i | −0.245200 | − | 0.754649i | −0.995603 | − | 0.0936683i | \(-0.970141\pi\) |
0.750403 | − | 0.660980i | \(-0.229859\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −16.2539 | + | 11.8092i | −0.781113 | + | 0.567512i | −0.905313 | − | 0.424745i | \(-0.860364\pi\) |
0.124200 | + | 0.992257i | \(0.460364\pi\) | |||||||
\(434\) | −0.569559 | + | 1.75292i | −0.0273397 | + | 0.0841430i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.0321571 | + | 0.0233635i | −0.00154005 | + | 0.00111891i | ||||
\(437\) | 3.37765 | + | 2.45401i | 0.161575 | + | 0.117391i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 26.7682 | 1.27758 | 0.638788 | − | 0.769383i | \(-0.279436\pi\) | ||||
0.638788 | + | 0.769383i | \(0.279436\pi\) | |||||||
\(440\) | 16.9201 | + | 3.30226i | 0.806636 | + | 0.157429i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −11.0703 | − | 34.0708i | −0.526559 | − | 1.62058i | ||||
\(443\) | 21.2086 | + | 15.4090i | 1.00765 | + | 0.732103i | 0.963716 | − | 0.266931i | \(-0.0860097\pi\) |
0.0439378 | + | 0.999034i | \(0.486010\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −8.68346 | + | 26.7249i | −0.411635 | + | 1.26688i | ||||
\(446\) | −2.11491 | + | 6.50903i | −0.100144 | + | 0.308212i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −6.51669 | − | 4.73465i | −0.307885 | − | 0.223691i | ||||
\(449\) | −3.01211 | − | 9.27033i | −0.142150 | − | 0.437494i | 0.854483 | − | 0.519479i | \(-0.173874\pi\) |
−0.996634 | + | 0.0819851i | \(0.973874\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.368215 | − | 3.01779i | −0.0173386 | − | 0.142102i | ||||
\(452\) | 0.203107 | 0.00955336 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0.452792 | + | 0.328973i | 0.0212506 | + | 0.0154395i | ||||
\(455\) | 6.88518 | − | 5.00238i | 0.322782 | − | 0.234515i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 3.67276 | − | 11.3036i | 0.171805 | − | 0.528760i | −0.827669 | − | 0.561217i | \(-0.810333\pi\) |
0.999473 | + | 0.0324572i | \(0.0103333\pi\) | |||||||
\(458\) | −2.49645 | + | 1.81378i | −0.116651 | + | 0.0847522i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.00568760 | − | 0.0175046i | −0.000265186 | − | 0.000816158i | ||||
\(461\) | −9.14737 | −0.426035 | −0.213018 | − | 0.977048i | \(-0.568329\pi\) | ||||
−0.213018 | + | 0.977048i | \(0.568329\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 38.9342 | 1.80943 | 0.904713 | − | 0.426021i | \(-0.140085\pi\) | ||||
0.904713 | + | 0.426021i | \(0.140085\pi\) | |||||||
\(464\) | −1.43907 | − | 4.42899i | −0.0668070 | − | 0.205611i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −1.43673 | + | 1.04385i | −0.0665553 | + | 0.0483552i | ||||
\(467\) | 6.42243 | − | 19.7662i | 0.297195 | − | 0.914671i | −0.685281 | − | 0.728279i | \(-0.740320\pi\) |
0.982475 | − | 0.186392i | \(-0.0596795\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 12.5133 | − | 9.09143i | 0.577810 | − | 0.419803i | ||||
\(470\) | 12.4776 | + | 9.06548i | 0.575547 | + | 0.418159i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −21.7998 | −1.00342 | ||||||||
\(473\) | 18.1345 | + | 19.4765i | 0.833826 | + | 0.895529i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.95076 | + | 9.08152i | 0.135390 | + | 0.416689i | ||||
\(476\) | 0.0617999 | + | 0.0449003i | 0.00283259 | + | 0.00205800i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 4.86076 | − | 14.9599i | 0.222326 | − | 0.684249i | ||||
\(479\) | 7.58214 | − | 23.3354i | 0.346437 | − | 1.06622i | −0.614374 | − | 0.789015i | \(-0.710591\pi\) |
0.960810 | − | 0.277207i | \(-0.0894088\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 7.87527 | + | 5.72172i | 0.359081 | + | 0.260888i | ||||
\(482\) | −9.35614 | − | 28.7952i | −0.426161 | − | 1.31159i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.0812030 | + | 0.130392i | 0.00369105 | + | 0.00592690i | ||||
\(485\) | 4.41591 | 0.200516 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 10.0086 | + | 7.27168i | 0.453533 | + | 0.329511i | 0.790989 | − | 0.611830i | \(-0.209566\pi\) |
−0.337456 | + | 0.941341i | \(0.609566\pi\) | |||||||
\(488\) | −14.4110 | + | 10.4702i | −0.652356 | + | 0.473964i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.797546 | − | 2.45459i | 0.0360295 | − | 0.110887i | ||||
\(491\) | 13.3691 | − | 9.71320i | 0.603338 | − | 0.438350i | −0.243724 | − | 0.969845i | \(-0.578369\pi\) |
0.847062 | + | 0.531494i | \(0.178369\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.98194 | + | 6.09977i | 0.0892620 | + | 0.274720i | ||||
\(494\) | 37.9916 | 1.70932 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 5.19468 | 0.233248 | ||||||||
\(497\) | −4.29593 | − | 13.2215i | −0.192699 | − | 0.593065i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 11.1167 | − | 8.07673i | 0.497650 | − | 0.361564i | −0.310469 | − | 0.950584i | \(-0.600486\pi\) |
0.808119 | + | 0.589020i | \(0.200486\pi\) | |||||||
\(500\) | 0.0525231 | − | 0.161649i | 0.00234890 | − | 0.00722918i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.483206 | + | 0.351070i | −0.0215665 | + | 0.0156690i | ||||
\(503\) | −18.2812 | − | 13.2820i | −0.815117 | − | 0.592217i | 0.100193 | − | 0.994968i | \(-0.468054\pi\) |
−0.915310 | + | 0.402751i | \(0.868054\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −21.7859 | −0.969461 | ||||||||
\(506\) | −1.63304 | + | 2.94081i | −0.0725973 | + | 0.130735i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.0217182 | − | 0.0668418i | −0.000963590 | − | 0.00296563i | ||||
\(509\) | −17.3644 | − | 12.6160i | −0.769664 | − | 0.559194i | 0.132195 | − | 0.991224i | \(-0.457798\pi\) |
−0.901859 | + | 0.432030i | \(0.857798\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.85862 | − | 5.72025i | 0.0822206 | − | 0.253049i | ||||
\(512\) | −7.06408 | + | 21.7410i | −0.312191 | + | 0.960825i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 19.8838 | + | 14.4464i | 0.877037 | + | 0.637204i | ||||
\(515\) | 0.224286 | + | 0.690280i | 0.00988321 | + | 0.0304174i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.40048 | + | 19.6737i | 0.105573 | + | 0.865248i | ||||
\(518\) | 2.95205 | 0.129706 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −19.5416 | − | 14.1978i | −0.856957 | − | 0.622616i | ||||
\(521\) | 28.0822 | − | 20.4029i | 1.23031 | − | 0.893869i | 0.233393 | − | 0.972383i | \(-0.425017\pi\) |
0.996913 | + | 0.0785132i | \(0.0250173\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 6.09633 | − | 18.7626i | 0.266574 | − | 0.820430i | −0.724753 | − | 0.689009i | \(-0.758046\pi\) |
0.991327 | − | 0.131421i | \(-0.0419540\pi\) | |||||||
\(524\) | 0.00203415 | − | 0.00147790i | 8.88624e−5 | − | 6.45623e-5i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −0.659847 | − | 2.03080i | −0.0287707 | − | 0.0885471i | ||||
\(527\) | −7.15430 | −0.311646 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −22.4821 | −0.977481 | ||||||||
\(530\) | −8.09105 | − | 24.9017i | −0.351453 | − | 1.08166i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.0655390 | + | 0.0476168i | −0.00284147 | + | 0.00206445i | ||||
\(533\) | −1.31632 | + | 4.05122i | −0.0570162 | + | 0.175478i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −4.84395 | + | 3.51933i | −0.209422 | + | 0.152154i | ||||
\(536\) | −35.5154 | − | 25.8034i | −1.53403 | − | 1.11454i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 2.86226 | 0.123401 | ||||||||
\(539\) | 3.00695 | − | 1.39939i | 0.129518 | − | 0.0602758i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.71487 | − | 5.27782i | −0.0737279 | − | 0.226911i | 0.907401 | − | 0.420266i | \(-0.138063\pi\) |
−0.981129 | + | 0.193355i | \(0.938063\pi\) | |||||||
\(542\) | −8.66998 | − | 6.29911i | −0.372408 | − | 0.270570i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.133530 | − | 0.410964i | 0.00572506 | − | 0.0176199i | ||||
\(545\) | −1.61085 | + | 4.95770i | −0.0690014 | + | 0.212364i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6.83353 | + | 4.96485i | 0.292181 | + | 0.212282i | 0.724213 | − | 0.689576i | \(-0.242203\pi\) |
−0.432032 | + | 0.901858i | \(0.642203\pi\) | |||||||
\(548\) | 0.0359201 | + | 0.110551i | 0.00153443 | + | 0.00472250i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −6.97518 | + | 3.24614i | −0.297422 | + | 0.138416i | ||||
\(551\) | −6.80173 | −0.289763 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 12.6538 | + | 9.19351i | 0.538094 | + | 0.390948i | ||||
\(554\) | −16.4483 | + | 11.9504i | −0.698822 | + | 0.507724i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.0300394 | − | 0.0924519i | 0.00127396 | − | 0.00392083i | ||||
\(557\) | −9.85665 | + | 7.16128i | −0.417640 | + | 0.303433i | −0.776687 | − | 0.629886i | \(-0.783102\pi\) |
0.359048 | + | 0.933319i | \(0.383102\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −11.5223 | − | 35.4620i | −0.487342 | − | 1.49988i | ||||
\(560\) | −7.27404 | −0.307384 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −25.0140 | −1.05515 | ||||||||
\(563\) | 8.45270 | + | 26.0147i | 0.356239 | + | 1.09639i | 0.955288 | + | 0.295678i | \(0.0955456\pi\) |
−0.599049 | + | 0.800713i | \(0.704454\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 21.5495 | − | 15.6566i | 0.906594 | − | 0.658679i | ||||
\(566\) | −13.5594 | + | 41.7316i | −0.569944 | + | 1.75411i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −31.9211 | + | 23.1920i | −1.33938 | + | 0.973115i | ||||
\(569\) | 5.77253 | + | 4.19399i | 0.241997 | + | 0.175821i | 0.702173 | − | 0.712007i | \(-0.252214\pi\) |
−0.460176 | + | 0.887828i | \(0.652214\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 32.4839 | 1.35941 | 0.679705 | − | 0.733486i | \(-0.262108\pi\) | ||||
0.679705 | + | 0.733486i | \(0.262108\pi\) | |||||||
\(572\) | −0.0260678 | − | 0.213644i | −0.00108995 | − | 0.00893291i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.399188 | + | 1.22857i | 0.0166618 | + | 0.0512797i | ||||
\(575\) | 0.958373 | + | 0.696299i | 0.0399669 | + | 0.0290377i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 10.7482 | − | 33.0795i | 0.447453 | − | 1.37712i | −0.432317 | − | 0.901721i | \(-0.642304\pi\) |
0.879771 | − | 0.475398i | \(-0.157696\pi\) | |||||||
\(578\) | 5.62791 | − | 17.3209i | 0.234090 | − | 0.720456i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.0242587 | + | 0.0176249i | 0.00100729 | + | 0.000731836i | ||||
\(581\) | 1.35217 | + | 4.16157i | 0.0560977 | + | 0.172651i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 16.3347 | − | 29.4159i | 0.676513 | − | 1.21828i | ||||
\(584\) | −17.0708 | −0.706395 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −27.3975 | − | 19.9054i | −1.13178 | − | 0.822285i | ||||
\(587\) | −11.7105 | + | 8.50816i | −0.483343 | + | 0.351169i | −0.802618 | − | 0.596493i | \(-0.796560\pi\) |
0.319276 | + | 0.947662i | \(0.396560\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.34456 | − | 7.21581i | 0.0966059 | − | 0.297322i | ||||
\(590\) | −16.0375 | + | 11.6520i | −0.660255 | + | 0.479704i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −2.57103 | − | 7.91283i | −0.105669 | − | 0.325215i | ||||
\(593\) | 15.0291 | 0.617169 | 0.308585 | − | 0.951197i | \(-0.400145\pi\) | ||||
0.308585 | + | 0.951197i | \(0.400145\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 10.0181 | 0.410701 | ||||||||
\(596\) | −0.0138706 | − | 0.0426894i | −0.000568163 | − | 0.00174863i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 3.81303 | − | 2.77033i | 0.155926 | − | 0.113287i | ||||
\(599\) | −0.544010 | + | 1.67429i | −0.0222276 | + | 0.0684097i | −0.961555 | − | 0.274612i | \(-0.911451\pi\) |
0.939327 | + | 0.343022i | \(0.111451\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −18.9605 | + | 13.7756i | −0.773415 | + | 0.561919i | −0.902995 | − | 0.429650i | \(-0.858637\pi\) |
0.129581 | + | 0.991569i | \(0.458637\pi\) | |||||||
\(602\) | −9.14810 | − | 6.64648i | −0.372849 | − | 0.270890i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.310948 | −0.0126523 | ||||||||
\(605\) | 18.6669 | + | 7.57487i | 0.758917 | + | 0.307962i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −7.81149 | − | 24.0413i | −0.317059 | − | 0.975806i | −0.974899 | − | 0.222649i | \(-0.928530\pi\) |
0.657840 | − | 0.753158i | \(-0.271470\pi\) | |||||||
\(608\) | 0.370738 | + | 0.269357i | 0.0150354 | + | 0.0109239i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −5.00550 | + | 15.4053i | −0.202667 | + | 0.623744i | ||||
\(611\) | 8.58142 | − | 26.4109i | 0.347167 | − | 1.06847i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −0.939222 | − | 0.682385i | −0.0379348 | − | 0.0275613i | 0.568656 | − | 0.822575i | \(-0.307463\pi\) |
−0.606591 | + | 0.795014i | \(0.707463\pi\) | |||||||
\(614\) | −2.37906 | − | 7.32199i | −0.0960110 | − | 0.295492i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −6.41463 | − | 6.88931i | −0.258453 | − | 0.277578i | ||||
\(617\) | −12.9711 | −0.522197 | −0.261098 | − | 0.965312i | \(-0.584085\pi\) | ||||
−0.261098 | + | 0.965312i | \(0.584085\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −37.0465 | − | 26.9158i | −1.48902 | − | 1.08184i | −0.974507 | − | 0.224358i | \(-0.927971\pi\) |
−0.514517 | − | 0.857480i | \(-0.672029\pi\) | |||||||
\(620\) | −0.0270599 | + | 0.0196602i | −0.00108675 | + | 0.000789572i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −6.04824 | + | 18.6146i | −0.242512 | + | 0.746377i | ||||
\(623\) | 12.4133 | − | 9.01881i | 0.497329 | − | 0.361331i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −4.34493 | − | 13.3723i | −0.173797 | − | 0.534893i | ||||
\(626\) | 38.6824 | 1.54606 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.185097 | −0.00738615 | ||||||||
\(629\) | 3.54092 | + | 10.8978i | 0.141186 | + | 0.434525i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 10.2103 | − | 7.41824i | 0.406467 | − | 0.295316i | −0.365703 | − | 0.930732i | \(-0.619171\pi\) |
0.772170 | + | 0.635416i | \(0.219171\pi\) | |||||||
\(632\) | 13.7180 | − | 42.2196i | 0.545672 | − | 1.67941i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 8.92225 | − | 6.48240i | 0.354348 | − | 0.257449i | ||||
\(635\) | −7.45682 | − | 5.41770i | −0.295915 | − | 0.214995i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.64706 | −0.184123 | ||||||||
\(638\) | −0.663738 | − | 5.43981i | −0.0262776 | − | 0.215364i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 6.33488 | + | 19.4968i | 0.250408 | + | 0.770678i | ||||
\(641\) | 22.6175 | + | 16.4326i | 0.893336 | + | 0.649047i | 0.936746 | − | 0.350011i | \(-0.113822\pi\) |
−0.0434095 | + | 0.999057i | \(0.513822\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −15.3575 | + | 47.2657i | −0.605642 | + | 1.86398i | −0.113330 | + | 0.993557i | \(0.536152\pi\) |
−0.492313 | + | 0.870418i | \(0.663848\pi\) | |||||||
\(644\) | −0.00310563 | + | 0.00955813i | −0.000122379 | + | 0.000376643i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 36.1802 | + | 26.2865i | 1.42349 | + | 1.03423i | ||||
\(647\) | 3.40125 | + | 10.4680i | 0.133717 | + | 0.411539i | 0.995388 | − | 0.0959281i | \(-0.0305819\pi\) |
−0.861671 | + | 0.507467i | \(0.830582\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −25.0026 | − | 4.87970i | −0.981439 | − | 0.191545i | ||||
\(650\) | 10.7797 | 0.422816 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0.154983 | + | 0.112602i | 0.00606962 | + | 0.00440984i | ||||
\(653\) | 23.4100 | − | 17.0084i | 0.916106 | − | 0.665590i | −0.0264458 | − | 0.999650i | \(-0.508419\pi\) |
0.942552 | + | 0.334060i | \(0.108419\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.101897 | − | 0.313608i | 0.00398146 | − | 0.0122537i | ||||
\(656\) | 2.94547 | − | 2.14001i | 0.115001 | − | 0.0835533i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.60240 | − | 8.00937i | −0.101452 | − | 0.312238i | ||||
\(659\) | −10.8405 | −0.422288 | −0.211144 | − | 0.977455i | \(-0.567719\pi\) | ||||
−0.211144 | + | 0.977455i | \(0.567719\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 20.3444 | 0.791305 | 0.395652 | − | 0.918400i | \(-0.370519\pi\) | ||||
0.395652 | + | 0.918400i | \(0.370519\pi\) | |||||||
\(662\) | −12.2573 | − | 37.7241i | −0.476394 | − | 1.46619i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 10.0474 | − | 7.29986i | 0.389915 | − | 0.283289i | ||||
\(665\) | −3.28306 | + | 10.1042i | −0.127311 | + | 0.391824i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.682656 | + | 0.495978i | −0.0264325 | + | 0.0192044i | ||||
\(668\) | −0.105164 | − | 0.0764062i | −0.00406892 | − | 0.00295625i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −39.9197 | −1.54223 | ||||||||
\(671\) | −18.8720 | + | 8.78272i | −0.728544 | + | 0.339053i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −3.73255 | − | 11.4876i | −0.143879 | − | 0.442815i | 0.852986 | − | 0.521934i | \(-0.174789\pi\) |
−0.996865 | + | 0.0791188i | \(0.974789\pi\) | |||||||
\(674\) | 28.4790 | + | 20.6912i | 1.09697 | + | 0.796996i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −0.0370903 | + | 0.114152i | −0.00142655 | + | 0.00439047i | ||||
\(677\) | −1.04951 | + | 3.23007i | −0.0403361 | + | 0.124142i | −0.969197 | − | 0.246287i | \(-0.920789\pi\) |
0.928861 | + | 0.370429i | \(0.120789\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.95073 | − | 1.41729i | −0.0748623 | − | 0.0543906i | ||||
\(680\) | −8.78642 | − | 27.0418i | −0.336944 | − | 1.03701i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 5.99978 | + | 1.17096i | 0.229743 | + | 0.0448384i | ||||
\(683\) | 4.75643 | 0.182000 | 0.0909999 | − | 0.995851i | \(-0.470994\pi\) | ||||
0.0909999 | + | 0.995851i | \(0.470994\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 12.3330 | + | 8.96042i | 0.471218 | + | 0.342360i | ||||
\(686\) | −1.14012 | + | 0.828347i | −0.0435300 | + | 0.0316264i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −9.84822 | + | 30.3097i | −0.375460 | + | 1.15555i | ||||
\(689\) | −38.1404 | + | 27.7106i | −1.45303 | + | 1.05569i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 2.04998 | + | 6.30920i | 0.0779850 | + | 0.240013i | 0.982447 | − | 0.186540i | \(-0.0597275\pi\) |
−0.904462 | + | 0.426554i | \(0.859728\pi\) | |||||||
\(692\) | 0.146707 | 0.00557695 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −29.1003 | −1.10463 | ||||||||
\(695\) | −3.93955 | − | 12.1247i | −0.149435 | − | 0.459915i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −4.05661 | + | 2.94730i | −0.153655 | + | 0.111637i | ||||
\(698\) | −2.61171 | + | 8.03802i | −0.0988547 | + | 0.304244i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.0185960 | + | 0.0135108i | −0.000702863 | + | 0.000510660i | ||||
\(701\) | 2.45134 | + | 1.78101i | 0.0925860 | + | 0.0672677i | 0.633115 | − | 0.774058i | \(-0.281776\pi\) |
−0.540529 | + | 0.841325i | \(0.681776\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −12.1519 | −0.458319 | ||||||||
\(704\) | −12.9697 | + | 23.3562i | −0.488815 | + | 0.880270i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −10.4683 | − | 32.2182i | −0.393981 | − | 1.21255i | ||||
\(707\) | 9.62396 | + | 6.99222i | 0.361946 | + | 0.262969i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −4.22026 | + | 12.9886i | −0.158495 | + | 0.487798i | −0.998498 | − | 0.0547836i | \(-0.982553\pi\) |
0.840003 | + | 0.542582i | \(0.182553\pi\) | |||||||
\(710\) | −11.0874 | + | 34.1236i | −0.416103 | + | 1.28063i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −35.2317 | − | 25.5973i | −1.32036 | − | 0.959300i | ||||
\(713\) | −0.290862 | − | 0.895180i | −0.0108928 | − | 0.0335247i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −19.2346 | − | 20.6580i | −0.719335 | − | 0.772566i | ||||
\(716\) | −0.116231 | −0.00434376 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −12.4845 | − | 9.07050i | −0.465916 | − | 0.338508i | ||||
\(719\) | −1.53737 | + | 1.11696i | −0.0573341 | + | 0.0416557i | −0.616083 | − | 0.787681i | \(-0.711281\pi\) |
0.558749 | + | 0.829337i | \(0.311281\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.122468 | − | 0.376917i | 0.00456094 | − | 0.0140371i | ||||
\(722\) | −16.7069 | + | 12.1383i | −0.621768 | + | 0.451741i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0.0638788 | + | 0.196599i | 0.00237404 | + | 0.00730654i | ||||
\(725\) | −1.92992 | −0.0716754 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −13.8211 | −0.512595 | −0.256298 | − | 0.966598i | \(-0.582503\pi\) | ||||
−0.256298 | + | 0.966598i | \(0.582503\pi\) | |||||||
\(728\) | 4.07573 | + | 12.5438i | 0.151057 | + | 0.464905i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −12.5586 | + | 9.12432i | −0.464813 | + | 0.337706i | ||||
\(731\) | 13.5633 | − | 41.7436i | 0.501658 | − | 1.54394i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −39.1357 | + | 28.4337i | −1.44551 | + | 1.05022i | −0.458655 | + | 0.888615i | \(0.651669\pi\) |
−0.986855 | + | 0.161610i | \(0.948331\pi\) | |||||||
\(734\) | −12.1055 | − | 8.79519i | −0.446824 | − | 0.324636i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.0568504 | 0.00209553 | ||||||||
\(737\) | −34.9575 | − | 37.5443i | −1.28767 | − | 1.38296i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 7.17170 | + | 22.0722i | 0.263815 | + | 0.811939i | 0.991964 | + | 0.126520i | \(0.0403809\pi\) |
−0.728149 | + | 0.685419i | \(0.759619\pi\) | |||||||
\(740\) | 0.0433404 | + | 0.0314887i | 0.00159323 | + | 0.00115755i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −4.41799 | + | 13.5972i | −0.162190 | + | 0.499168i | ||||
\(743\) | 13.8536 | − | 42.6369i | 0.508238 | − | 1.56420i | −0.287019 | − | 0.957925i | \(-0.592664\pi\) |
0.795257 | − | 0.606272i | \(-0.207336\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −4.76240 | − | 3.46009i | −0.174481 | − | 0.126768i | ||||
\(746\) | 15.9404 | + | 49.0596i | 0.583620 | + | 1.79620i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.122996 | − | 0.221495i | 0.00449718 | − | 0.00809864i | ||||
\(749\) | 3.26935 | 0.119460 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 33.3199 | + | 24.2083i | 1.21586 | + | 0.883373i | 0.995750 | − | 0.0921022i | \(-0.0293587\pi\) |
0.220109 | + | 0.975475i | \(0.429359\pi\) | |||||||
\(752\) | −19.2022 | + | 13.9512i | −0.700234 | + | 0.508750i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −2.37278 | + | 7.30266i | −0.0864115 | + | 0.265947i | ||||
\(755\) | −32.9913 | + | 23.9696i | −1.20068 | + | 0.872343i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −6.76401 | − | 20.8175i | −0.245842 | − | 0.756624i | −0.995497 | − | 0.0947948i | \(-0.969781\pi\) |
0.749655 | − | 0.661829i | \(-0.230219\pi\) | |||||||
\(758\) | −17.8382 | −0.647912 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 30.1537 | 1.09379 | ||||||||
\(761\) | 11.0367 | + | 33.9673i | 0.400078 | + | 1.23131i | 0.924935 | + | 0.380124i | \(0.124119\pi\) |
−0.524857 | + | 0.851190i | \(0.675881\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 2.30277 | − | 1.67306i | 0.0833660 | − | 0.0605690i | ||||
\(764\) | −0.0414558 | + | 0.127588i | −0.00149982 | + | 0.00461596i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −17.6353 | + | 12.8128i | −0.637188 | + | 0.462944i | ||||
\(767\) | 28.8764 | + | 20.9799i | 1.04266 | + | 0.757540i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 5.30246 | 0.191212 | 0.0956058 | − | 0.995419i | \(-0.469521\pi\) | ||||
0.0956058 | + | 0.995419i | \(0.469521\pi\) | |||||||
\(770\) | −8.40141 | − | 1.63968i | −0.302766 | − | 0.0590900i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.00642030 | + | 0.0197596i | 0.000231072 | + | 0.000711165i | ||||
\(773\) | −40.3628 | − | 29.3253i | −1.45175 | − | 1.05476i | −0.985418 | − | 0.170149i | \(-0.945575\pi\) |
−0.466332 | − | 0.884610i | \(-0.654425\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.665245 | − | 2.04741i | 0.0238963 | − | 0.0735452i | ||||
\(776\) | −2.11479 | + | 6.50867i | −0.0759167 | + | 0.233648i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −14.4943 | − | 10.5307i | −0.519646 | − | 0.377545i | ||||
\(779\) | −1.64324 | − | 5.05736i | −0.0588750 | − | 0.181199i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −41.8023 | + | 19.4541i | −1.49580 | + | 0.696124i | ||||
\(782\) | 5.54803 | 0.198397 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 3.21332 | + | 2.33461i | 0.114761 | + | 0.0833789i | ||||
\(785\) | −19.6386 | + | 14.2683i | −0.700931 | + | 0.509256i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 11.0804 | − | 34.1020i | 0.394974 | − | 1.21560i | −0.534008 | − | 0.845479i | \(-0.679315\pi\) |
0.928982 | − | 0.370125i | \(-0.120685\pi\) | |||||||
\(788\) | 0.158655 | − | 0.115270i | 0.00565186 | − | 0.00410632i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −12.4744 | − | 38.3922i | −0.443818 | − | 1.36593i | ||||
\(791\) | −14.5445 | −0.517144 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 29.1655 | 1.03570 | ||||||||
\(794\) | −8.25571 | − | 25.4085i | −0.292984 | − | 0.901713i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.0484357 | + | 0.0351906i | −0.00171676 | + | 0.00124730i | ||||
\(797\) | −4.55530 | + | 14.0198i | −0.161357 | + | 0.496606i | −0.998749 | − | 0.0499962i | \(-0.984079\pi\) |
0.837392 | + | 0.546602i | \(0.184079\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 26.4460 | − | 19.2142i | 0.935593 | − | 0.679748i | ||||
\(800\) | 0.105193 | + | 0.0764272i | 0.00371913 | + | 0.00270211i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 12.2354 | 0.432046 | ||||||||
\(803\) | −19.5789 | − | 3.82116i | −0.690923 | − | 0.134846i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.407290 | + | 1.25351i | 0.0143551 | + | 0.0441804i | ||||
\(806\) | −6.92934 | − | 5.03446i | −0.244076 | − | 0.177331i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 10.4334 | − | 32.1106i | 0.367044 | − | 1.12965i | ||||
\(809\) | 8.33599 | − | 25.6556i | 0.293078 | − | 0.902001i | −0.690782 | − | 0.723063i | \(-0.742734\pi\) |
0.983860 | − | 0.178938i | \(-0.0572663\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −1.18472 | − | 0.860750i | −0.0416012 | − | 0.0302250i | 0.566790 | − | 0.823862i | \(-0.308185\pi\) |
−0.608392 | + | 0.793637i | \(0.708185\pi\) | |||||||
\(812\) | −0.00505954 | − | 0.0155717i | −0.000177555 | − | 0.000546459i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −1.18583 | − | 9.71876i | −0.0415634 | − | 0.340642i | ||||
\(815\) | 25.1236 | 0.880041 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 37.6577 | + | 27.3599i | 1.31747 | + | 0.957201i | ||||
\(818\) | −6.51473 | + | 4.73323i | −0.227782 | + | 0.165493i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.00724418 | + | 0.0222953i | −0.000252978 | + | 0.000778586i | ||||
\(821\) | 24.7791 | − | 18.0031i | 0.864797 | − | 0.628312i | −0.0643886 | − | 0.997925i | \(-0.520510\pi\) |
0.929186 | + | 0.369613i | \(0.120510\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −7.58137 | − | 23.3330i | −0.264270 | − | 0.813339i | −0.991861 | − | 0.127328i | \(-0.959360\pi\) |
0.727591 | − | 0.686011i | \(-0.240640\pi\) | |||||||
\(824\) | −1.12482 | −0.0391851 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 10.8243 | 0.376626 | ||||||||
\(827\) | 2.02927 | + | 6.24545i | 0.0705646 | + | 0.217176i | 0.980119 | − | 0.198408i | \(-0.0635772\pi\) |
−0.909555 | + | 0.415584i | \(0.863577\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 16.0543 | − | 11.6642i | 0.557590 | − | 0.405113i | −0.272986 | − | 0.962018i | \(-0.588011\pi\) |
0.830576 | + | 0.556905i | \(0.188011\pi\) | |||||||
\(830\) | 3.48985 | − | 10.7406i | 0.121134 | − | 0.372813i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 30.2834 | − | 22.0022i | 1.04989 | − | 0.762789i | ||||
\(833\) | −4.42550 | − | 3.21531i | −0.153334 | − | 0.111404i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −17.0476 | −0.589958 | ||||||||
\(836\) | 0.183091 | + | 0.196640i | 0.00633235 | + | 0.00680095i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 11.8413 | + | 36.4438i | 0.409051 | + | 1.25893i | ||||
\(839\) | −6.44019 | − | 4.67907i | −0.222340 | − | 0.161539i | 0.471039 | − | 0.882112i | \(-0.343879\pi\) |
−0.693379 | + | 0.720573i | \(0.743879\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −8.53669 | + | 26.2732i | −0.294369 | + | 0.905973i | ||||
\(842\) | −10.4365 | + | 32.1202i | −0.359665 | + | 1.10694i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −0.0164410 | − | 0.0119451i | −0.000565922 | − | 0.000411166i | ||||
\(845\) | 4.86424 | + | 14.9706i | 0.167335 | + | 0.515004i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −5.81496 | − | 9.33736i | −0.199804 | − | 0.320835i | ||||
\(848\) | 40.2944 | 1.38372 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 10.2658 | + | 7.45852i | 0.352113 | + | 0.255825i | ||||
\(851\) | −1.21963 | + | 0.886114i | −0.0418084 | + | 0.0303756i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 10.5292 | − | 32.4055i | 0.360513 | − | 1.10954i | −0.592231 | − | 0.805768i | \(-0.701753\pi\) |
0.952744 | − | 0.303776i | \(-0.0982473\pi\) | |||||||
\(854\) | 7.15554 | − | 5.19881i | 0.244858 | − | 0.177900i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −2.86741 | − | 8.82497i | −0.0980060 | − | 0.301631i | ||||
\(857\) | −24.8539 | −0.848992 | −0.424496 | − | 0.905430i | \(-0.639549\pi\) | ||||
−0.424496 | + | 0.905430i | \(0.639549\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 2.05654 | 0.0701683 | 0.0350841 | − | 0.999384i | \(-0.488830\pi\) | ||||
0.0350841 | + | 0.999384i | \(0.488830\pi\) | |||||||
\(860\) | −0.0634115 | − | 0.195160i | −0.00216231 | − | 0.00665491i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 18.7814 | − | 13.6455i | 0.639697 | − | 0.464767i | ||||
\(863\) | 0.0801824 | − | 0.246776i | 0.00272944 | − | 0.00840035i | −0.949683 | − | 0.313214i | \(-0.898594\pi\) |
0.952412 | + | 0.304814i | \(0.0985942\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 15.5655 | − | 11.3090i | 0.529241 | − | 0.384516i | ||||
\(866\) | −22.9061 | − | 16.6423i | −0.778381 | − | 0.565527i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.0182637 | 0.000619910 | ||||||||
\(869\) | 25.1840 | − | 45.3519i | 0.854307 | − | 1.53846i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 22.2113 | + | 68.3593i | 0.752601 | + | 2.31627i | ||||
\(872\) | −6.53577 | − | 4.74851i | −0.221329 | − | 0.160805i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −1.81816 | + | 5.59573i | −0.0615003 | + | 0.189278i | ||||
\(875\) | −3.76118 | + | 11.5757i | −0.127151 | + | 0.391331i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −15.0420 | − | 10.9287i | −0.507934 | − | 0.369035i | 0.304106 | − | 0.952638i | \(-0.401642\pi\) |
−0.812039 | + | 0.583603i | \(0.801642\pi\) | |||||||
\(878\) | 11.6572 | + | 35.8772i | 0.393412 | + | 1.21080i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 2.92197 | + | 23.9477i | 0.0984996 | + | 0.807275i | ||||
\(881\) | −6.45292 | −0.217404 | −0.108702 | − | 0.994074i | \(-0.534670\pi\) | ||||
−0.108702 | + | 0.994074i | \(0.534670\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 0.225301 | + | 0.163691i | 0.00758198 | + | 0.00550863i | 0.591570 | − | 0.806254i | \(-0.298508\pi\) |
−0.583988 | + | 0.811762i | \(0.698508\pi\) | |||||||
\(884\) | −0.287188 | + | 0.208654i | −0.00965917 | + | 0.00701779i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −11.4165 | + | 35.1362i | −0.383543 | + | 1.18042i | ||||
\(887\) | 24.7211 | − | 17.9609i | 0.830054 | − | 0.603069i | −0.0895209 | − | 0.995985i | \(-0.528534\pi\) |
0.919575 | + | 0.392916i | \(0.128534\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1.55524 | + | 4.78655i | 0.0521612 | + | 0.160536i | ||||
\(890\) | −39.6008 | −1.32742 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0.0678176 | 0.00227070 | ||||||||
\(893\) | 10.7127 | + | 32.9702i | 0.358485 | + | 1.10330i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −12.3320 | + | 8.95972i | −0.412213 | + | 0.299491i | ||||
\(896\) | 3.45907 | − | 10.6459i | 0.115559 | − | 0.355655i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 11.1132 | − | 8.07423i | 0.370853 | − | 0.269441i | ||||
\(899\) | 1.24058 | + | 0.901332i | 0.0413756 | + | 0.0300611i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −55.4949 | −1.84880 | ||||||||
\(902\) | 3.88437 | − | 1.80773i | 0.129335 | − | 0.0601907i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 12.7564 | + | 39.2601i | 0.424271 | + | 1.30577i | ||||
\(905\) | 21.9324 | + | 15.9348i | 0.729058 | + | 0.529692i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 9.86836 | − | 30.3717i | 0.327674 | − | 1.00848i | −0.642546 | − | 0.766247i | \(-0.722122\pi\) |
0.970219 | − | 0.242228i | \(-0.0778782\pi\) | |||||||
\(908\) | 0.00171378 | − | 0.00527448i | 5.68739e−5 | − | 0.000175040i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 9.70307 | + | 7.04969i | 0.321654 | + | 0.233695i | ||||
\(911\) | −0.865378 | − | 2.66336i | −0.0286713 | − | 0.0882411i | 0.935697 | − | 0.352805i | \(-0.114772\pi\) |
−0.964368 | + | 0.264564i | \(0.914772\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 13.1576 | − | 6.12334i | 0.435452 | − | 0.202653i | ||||
\(914\) | 16.7496 | 0.554027 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0.0247374 | + | 0.0179728i | 0.000817348 | + | 0.000593838i | ||||
\(917\) | −0.145666 | + | 0.105832i | −0.00481031 | + | 0.00349490i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −4.89293 | + | 15.0589i | −0.161403 | + | 0.496747i | −0.998753 | − | 0.0499194i | \(-0.984104\pi\) |
0.837350 | + | 0.546667i | \(0.184104\pi\) | |||||||
\(920\) | 3.02638 | − | 2.19880i | 0.0997769 | − | 0.0724922i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −3.98356 | − | 12.2602i | −0.131192 | − | 0.403767i | ||||
\(923\) | 64.6030 | 2.12643 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −3.44799 | −0.113369 | ||||||||
\(926\) | 16.9554 | + | 52.1833i | 0.557188 | + | 1.71485i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −0.0749296 | + | 0.0544396i | −0.00245969 | + | 0.00178707i | ||||
\(929\) | 8.49282 | − | 26.1382i | 0.278640 | − | 0.857567i | −0.709593 | − | 0.704612i | \(-0.751121\pi\) |
0.988233 | − | 0.152955i | \(-0.0488790\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 4.69325 | − | 3.40985i | 0.153815 | − | 0.111753i | ||||
\(932\) | 0.0142366 | + | 0.0103435i | 0.000466337 | + | 0.000338814i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 29.2894 | 0.958379 | ||||||||
\(935\) | −4.02424 | − | 32.9816i | −0.131607 | − | 1.07861i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −3.80357 | − | 11.7062i | −0.124257 | − | 0.382425i | 0.869508 | − | 0.493919i | \(-0.164436\pi\) |
−0.993765 | + | 0.111495i | \(0.964436\pi\) | |||||||
\(938\) | 17.6346 | + | 12.8123i | 0.575789 | + | 0.418335i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.0472266 | − | 0.145349i | 0.00154036 | − | 0.00474075i | ||||
\(941\) | −0.451208 | + | 1.38867i | −0.0147089 | + | 0.0452695i | −0.958142 | − | 0.286295i | \(-0.907576\pi\) |
0.943433 | + | 0.331564i | \(0.107576\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.533703 | − | 0.387758i | −0.0173798 | − | 0.0126271i | ||||
\(944\) | −9.42725 | − | 29.0141i | −0.306831 | − | 0.944328i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −18.2068 | + | 32.7873i | −0.591955 | + | 1.06601i | ||||
\(947\) | −11.0714 | −0.359771 | −0.179885 | − | 0.983688i | \(-0.557573\pi\) | ||||
−0.179885 | + | 0.983688i | \(0.557573\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 22.6123 | + | 16.4288i | 0.734025 | + | 0.533301i | ||||
\(950\) | −10.8869 | + | 7.90978i | −0.353217 | + | 0.256627i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −4.79769 | + | 14.7658i | −0.155494 | + | 0.478561i | ||||
\(953\) | −11.9924 | + | 8.71296i | −0.388471 | + | 0.282240i | −0.764828 | − | 0.644234i | \(-0.777176\pi\) |
0.376358 | + | 0.926474i | \(0.377176\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 5.43675 | + | 16.7326i | 0.175929 | + | 0.541454i | ||||
\(956\) | −0.155867 | −0.00504110 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 34.5782 | 1.11717 | ||||||||
\(959\) | −2.57224 | − | 7.91655i | −0.0830621 | − | 0.255639i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 23.6957 | − | 17.2159i | 0.764377 | − | 0.555353i | ||||
\(962\) | −4.23920 | + | 13.0469i | −0.136677 | + | 0.420649i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −0.242719 | + | 0.176346i | −0.00781746 | + | 0.00567972i | ||||
\(965\) | 2.20437 | + | 1.60157i | 0.0709612 | + | 0.0515563i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 16.5193 | 0.531224 | 0.265612 | − | 0.964080i | \(-0.414426\pi\) | ||||
0.265612 | + | 0.964080i | \(0.414426\pi\) | |||||||
\(968\) | −20.1043 | + | 23.8857i | −0.646177 | + | 0.767716i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 1.92308 | + | 5.91862i | 0.0617462 | + | 0.190035i | ||||
\(971\) | 33.0073 | + | 23.9812i | 1.05926 | + | 0.769595i | 0.973951 | − | 0.226760i | \(-0.0728134\pi\) |
0.0853055 | + | 0.996355i | \(0.472813\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −2.15113 | + | 6.62049i | −0.0689620 | + | 0.212243i | ||||
\(974\) | −5.38755 | + | 16.5812i | −0.172628 | + | 0.531296i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −20.1672 | − | 14.6523i | −0.645535 | − | 0.469009i | ||||
\(977\) | −15.1772 | − | 46.7107i | −0.485562 | − | 1.49441i | −0.831165 | − | 0.556025i | \(-0.812326\pi\) |
0.345603 | − | 0.938381i | \(-0.387674\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −34.6782 | − | 37.2444i | −1.10832 | − | 1.19034i | ||||
\(980\) | −0.0255744 | −0.000816945 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 18.8406 | + | 13.6885i | 0.601228 | + | 0.436817i | ||||
\(983\) | 0.895411 | − | 0.650554i | 0.0285592 | − | 0.0207495i | −0.573414 | − | 0.819266i | \(-0.694381\pi\) |
0.601973 | + | 0.798516i | \(0.294381\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 7.94756 | − | 24.4601i | 0.253230 | − | 0.779362i | ||||
\(986\) | −7.31238 | + | 5.31275i | −0.232874 | + | 0.169193i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.116333 | − | 0.358036i | −0.00370104 | − | 0.0113906i | ||||
\(989\) | 5.77458 | 0.183621 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 41.7851 | 1.32735 | 0.663674 | − | 0.748022i | \(-0.268996\pi\) | ||||
0.663674 | + | 0.748022i | \(0.268996\pi\) | |||||||
\(992\) | −0.0319255 | − | 0.0982567i | −0.00101364 | − | 0.00311965i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 15.8499 | − | 11.5156i | 0.502727 | − | 0.365253i | ||||
\(995\) | −2.42630 | + | 7.46739i | −0.0769189 | + | 0.236732i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −35.7541 | + | 25.9769i | −1.13234 | + | 0.822695i | −0.986034 | − | 0.166543i | \(-0.946739\pi\) |
−0.146309 | + | 0.989239i | \(0.546739\pi\) | |||||||
\(998\) | 15.6664 | + | 11.3823i | 0.495910 | + | 0.360300i | ||||
\(999\) | 0 | 0 |
(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 | 693.2.m.i.379.3 | 16 | ||
3.2 | odd | 2 | 77.2.f.b.71.2 | yes | 16 | ||
11.3 | even | 5 | 7623.2.a.ct.1.6 | 8 | |||
11.8 | odd | 10 | 7623.2.a.cw.1.3 | 8 | |||
11.9 | even | 5 | inner | 693.2.m.i.64.3 | 16 | ||
21.2 | odd | 6 | 539.2.q.g.214.2 | 32 | |||
21.5 | even | 6 | 539.2.q.f.214.2 | 32 | |||
21.11 | odd | 6 | 539.2.q.g.324.3 | 32 | |||
21.17 | even | 6 | 539.2.q.f.324.3 | 32 | |||
21.20 | even | 2 | 539.2.f.e.148.2 | 16 | |||
33.2 | even | 10 | 847.2.f.x.372.3 | 16 | |||
33.5 | odd | 10 | 847.2.f.w.323.3 | 16 | |||
33.8 | even | 10 | 847.2.a.o.1.6 | 8 | |||
33.14 | odd | 10 | 847.2.a.p.1.3 | 8 | |||
33.17 | even | 10 | 847.2.f.v.323.2 | 16 | |||
33.20 | odd | 10 | 77.2.f.b.64.2 | ✓ | 16 | ||
33.26 | odd | 10 | 847.2.f.w.729.3 | 16 | |||
33.29 | even | 10 | 847.2.f.v.729.2 | 16 | |||
33.32 | even | 2 | 847.2.f.x.148.3 | 16 | |||
231.20 | even | 10 | 539.2.f.e.295.2 | 16 | |||
231.41 | odd | 10 | 5929.2.a.bs.1.6 | 8 | |||
231.53 | odd | 30 | 539.2.q.g.471.2 | 32 | |||
231.86 | odd | 30 | 539.2.q.g.361.3 | 32 | |||
231.146 | even | 10 | 5929.2.a.bt.1.3 | 8 | |||
231.152 | even | 30 | 539.2.q.f.361.3 | 32 | |||
231.185 | even | 30 | 539.2.q.f.471.2 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
77.2.f.b.64.2 | ✓ | 16 | 33.20 | odd | 10 | ||
77.2.f.b.71.2 | yes | 16 | 3.2 | odd | 2 | ||
539.2.f.e.148.2 | 16 | 21.20 | even | 2 | |||
539.2.f.e.295.2 | 16 | 231.20 | even | 10 | |||
539.2.q.f.214.2 | 32 | 21.5 | even | 6 | |||
539.2.q.f.324.3 | 32 | 21.17 | even | 6 | |||
539.2.q.f.361.3 | 32 | 231.152 | even | 30 | |||
539.2.q.f.471.2 | 32 | 231.185 | even | 30 | |||
539.2.q.g.214.2 | 32 | 21.2 | odd | 6 | |||
539.2.q.g.324.3 | 32 | 21.11 | odd | 6 | |||
539.2.q.g.361.3 | 32 | 231.86 | odd | 30 | |||
539.2.q.g.471.2 | 32 | 231.53 | odd | 30 | |||
693.2.m.i.64.3 | 16 | 11.9 | even | 5 | inner | ||
693.2.m.i.379.3 | 16 | 1.1 | even | 1 | trivial | ||
847.2.a.o.1.6 | 8 | 33.8 | even | 10 | |||
847.2.a.p.1.3 | 8 | 33.14 | odd | 10 | |||
847.2.f.v.323.2 | 16 | 33.17 | even | 10 | |||
847.2.f.v.729.2 | 16 | 33.29 | even | 10 | |||
847.2.f.w.323.3 | 16 | 33.5 | odd | 10 | |||
847.2.f.w.729.3 | 16 | 33.26 | odd | 10 | |||
847.2.f.x.148.3 | 16 | 33.32 | even | 2 | |||
847.2.f.x.372.3 | 16 | 33.2 | even | 10 | |||
5929.2.a.bs.1.6 | 8 | 231.41 | odd | 10 | |||
5929.2.a.bt.1.3 | 8 | 231.146 | even | 10 | |||
7623.2.a.ct.1.6 | 8 | 11.3 | even | 5 | |||
7623.2.a.cw.1.3 | 8 | 11.8 | odd | 10 |