Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [864,2,Mod(97,864)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(864, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("864.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 864 = 2^{5} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 864.y (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.89907473464\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 193.8 | ||
Character | \(\chi\) | \(=\) | 864.193 |
Dual form | 864.2.y.d.385.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/864\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(353\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 1.28924 | − | 1.15666i | 0.744342 | − | 0.667799i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.110022 | + | 0.623966i | −0.0492034 | + | 0.279046i | −0.999476 | − | 0.0323735i | \(-0.989693\pi\) |
0.950272 | + | 0.311420i | \(0.100805\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −3.44796 | + | 2.89318i | −1.30321 | + | 1.09352i | −0.313624 | + | 0.949547i | \(0.601543\pi\) |
−0.989582 | + | 0.143973i | \(0.954012\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.324271 | − | 2.98242i | 0.108090 | − | 0.994141i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.462638 | + | 2.62375i | 0.139491 | + | 0.791091i | 0.971627 | + | 0.236520i | \(0.0760068\pi\) |
−0.832136 | + | 0.554572i | \(0.812882\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.71553 | + | 2.08028i | −1.58520 | + | 0.576966i | −0.976327 | − | 0.216300i | \(-0.930601\pi\) |
−0.608875 | + | 0.793266i | \(0.708379\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.579873 | + | 0.931700i | 0.149723 | + | 0.240564i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.09167 | + | 1.89083i | −0.264769 | + | 0.458594i | −0.967503 | − | 0.252859i | \(-0.918629\pi\) |
0.702734 | + | 0.711453i | \(0.251962\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.62496 | + | 4.54656i | 0.602206 | + | 1.04305i | 0.992486 | + | 0.122356i | \(0.0390449\pi\) |
−0.390280 | + | 0.920696i | \(0.627622\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.09881 | + | 7.71812i | −0.239780 | + | 1.68423i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 6.59026 | + | 5.52988i | 1.37416 | + | 1.15306i | 0.971316 | + | 0.237794i | \(0.0764242\pi\) |
0.402848 | + | 0.915267i | \(0.368020\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.32123 | + | 1.57280i | 0.864247 | + | 0.314560i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −3.03159 | − | 4.22013i | −0.583430 | − | 0.812164i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −6.06153 | − | 2.20622i | −1.12560 | − | 0.409684i | −0.288906 | − | 0.957357i | \(-0.593292\pi\) |
−0.836692 | + | 0.547673i | \(0.815514\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.26288 | − | 1.05968i | −0.226820 | − | 0.190325i | 0.522294 | − | 0.852765i | \(-0.325076\pi\) |
−0.749114 | + | 0.662441i | \(0.769521\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 3.63124 | + | 2.84753i | 0.632118 | + | 0.495691i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.42590 | − | 2.46972i | −0.241020 | − | 0.417460i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.93871 | − | 8.55410i | 0.811919 | − | 1.40628i | −0.0996002 | − | 0.995028i | \(-0.531756\pi\) |
0.911519 | − | 0.411257i | \(-0.134910\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −4.96250 | + | 9.29291i | −0.794635 | + | 1.48806i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −10.1895 | + | 3.70867i | −1.59133 | + | 0.579197i | −0.977628 | − | 0.210340i | \(-0.932543\pi\) |
−0.613703 | + | 0.789537i | \(0.710321\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.462029 | + | 2.62030i | 0.0704588 | + | 0.399592i | 0.999557 | + | 0.0297588i | \(0.00947393\pi\) |
−0.929098 | + | 0.369833i | \(0.879415\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.82526 | + | 0.530467i | 0.272093 | + | 0.0790773i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −5.34642 | + | 4.48618i | −0.779856 | + | 0.654377i | −0.943212 | − | 0.332190i | \(-0.892212\pi\) |
0.163357 | + | 0.986567i | \(0.447768\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.30239 | − | 13.0575i | 0.328913 | − | 1.86536i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.779626 | + | 3.70043i | 0.109169 | + | 0.518163i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 6.33028 | 0.869530 | 0.434765 | − | 0.900544i | \(-0.356831\pi\) | ||||
0.434765 | + | 0.900544i | \(0.356831\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.68803 | −0.227614 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 8.64302 | + | 2.82541i | 1.14480 | + | 0.374235i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.201352 | − | 1.14193i | 0.0262138 | − | 0.148666i | −0.968892 | − | 0.247486i | \(-0.920396\pi\) |
0.995105 | + | 0.0988198i | \(0.0315067\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.45392 | − | 3.73728i | 0.570265 | − | 0.478509i | −0.311469 | − | 0.950256i | \(-0.600821\pi\) |
0.881734 | + | 0.471747i | \(0.156376\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 7.51062 | + | 11.2214i | 0.946249 | + | 1.41377i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −0.669192 | − | 3.79517i | −0.0830030 | − | 0.470733i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.55051 | + | 0.928310i | −0.311594 | + | 0.113411i | −0.493084 | − | 0.869982i | \(-0.664130\pi\) |
0.181489 | + | 0.983393i | \(0.441908\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 14.8926 | − | 0.493357i | 1.79286 | − | 0.0593933i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.10732 | + | 1.91793i | −0.131414 | + | 0.227616i | −0.924222 | − | 0.381856i | \(-0.875285\pi\) |
0.792808 | + | 0.609472i | \(0.208618\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.16195 | − | 3.74461i | −0.253037 | − | 0.438274i | 0.711323 | − | 0.702865i | \(-0.248096\pi\) |
−0.964361 | + | 0.264591i | \(0.914763\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 7.39030 | − | 2.97049i | 0.853358 | − | 0.343002i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −9.18615 | − | 7.70810i | −1.04686 | − | 0.878419i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.45020 | + | 3.07562i | 0.950722 | + | 0.346034i | 0.770391 | − | 0.637572i | \(-0.220061\pi\) |
0.180331 | + | 0.983606i | \(0.442283\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −8.78970 | − | 1.93422i | −0.976633 | − | 0.214914i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −10.9300 | − | 3.97818i | −1.19972 | − | 0.436662i | −0.336593 | − | 0.941650i | \(-0.609275\pi\) |
−0.863126 | + | 0.504988i | \(0.831497\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.05971 | − | 0.889200i | −0.114941 | − | 0.0964473i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −10.3666 | + | 4.16680i | −1.11142 | + | 0.446728i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 2.27192 | + | 3.93508i | 0.240823 | + | 0.417118i | 0.960949 | − | 0.276725i | \(-0.0892492\pi\) |
−0.720126 | + | 0.693844i | \(0.755916\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 13.6883 | − | 23.7088i | 1.43492 | − | 2.48536i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −2.85385 | + | 0.0945413i | −0.295930 | + | 0.00980348i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.12570 | + | 1.13766i | −0.320690 | + | 0.116722i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.872500 | + | 4.94820i | 0.0885890 | + | 0.502413i | 0.996524 | + | 0.0833028i | \(0.0265469\pi\) |
−0.907935 | + | 0.419110i | \(0.862342\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 7.97516 | − | 0.528977i | 0.801534 | − | 0.0531642i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.69994 | + | 1.42642i | −0.169150 | + | 0.141934i | −0.723433 | − | 0.690395i | \(-0.757437\pi\) |
0.554283 | + | 0.832328i | \(0.312992\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.617362 | + | 3.50124i | −0.0608305 | + | 0.344987i | 0.939168 | + | 0.343457i | \(0.111598\pi\) |
−0.999999 | + | 0.00152973i | \(0.999513\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −4.69495 | − | 1.53479i | −0.458181 | − | 0.149780i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 13.0962 | 1.26606 | 0.633030 | − | 0.774127i | \(-0.281811\pi\) | ||||
0.633030 | + | 0.774127i | \(0.281811\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.27944 | 0.218331 | 0.109166 | − | 0.994024i | \(-0.465182\pi\) | ||||
0.109166 | + | 0.994024i | \(0.465182\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −3.52702 | − | 16.7407i | −0.334770 | − | 1.58896i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −2.96968 | + | 16.8419i | −0.279364 | + | 1.58435i | 0.445384 | + | 0.895340i | \(0.353067\pi\) |
−0.724748 | + | 0.689014i | \(0.758044\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.17554 | + | 3.50369i | −0.389371 | + | 0.326721i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 4.35090 | + | 17.7207i | 0.402241 | + | 1.63828i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −1.70648 | − | 9.67792i | −0.156433 | − | 0.887173i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.66657 | − | 1.33452i | 0.333325 | − | 0.121320i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −8.84700 | + | 16.5671i | −0.797708 | + | 1.49381i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −3.04079 | + | 5.26680i | −0.271976 | + | 0.471077i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.28823 | + | 9.15947i | 0.469254 | + | 0.812772i | 0.999382 | − | 0.0351456i | \(-0.0111895\pi\) |
−0.530128 | + | 0.847918i | \(0.677856\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 3.62646 | + | 2.84378i | 0.319292 | + | 0.250381i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1.07672 | − | 0.903473i | −0.0940733 | − | 0.0789368i | 0.594538 | − | 0.804067i | \(-0.297335\pi\) |
−0.688611 | + | 0.725131i | \(0.741779\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −22.2048 | − | 8.08187i | −1.92540 | − | 0.700787i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 2.96676 | − | 1.42730i | 0.255338 | − | 0.122843i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −4.22143 | − | 1.53648i | −0.360661 | − | 0.131270i | 0.155333 | − | 0.987862i | \(-0.450355\pi\) |
−0.515994 | + | 0.856592i | \(0.672577\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.66621 | − | 4.75452i | −0.480602 | − | 0.403273i | 0.370042 | − | 0.929015i | \(-0.379343\pi\) |
−0.850644 | + | 0.525742i | \(0.823788\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.70382 | + | 11.9678i | −0.143488 | + | 1.00787i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −8.10237 | − | 14.0337i | −0.677554 | − | 1.17356i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.04351 | − | 3.53946i | 0.169704 | − | 0.293936i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −12.1348 | − | 19.4973i | −1.00086 | − | 1.60811i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 10.8130 | − | 3.93562i | 0.885838 | − | 0.322419i | 0.141274 | − | 0.989970i | \(-0.454880\pi\) |
0.744563 | + | 0.667552i | \(0.232658\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.550130 | + | 3.11994i | 0.0447690 | + | 0.253897i | 0.998976 | − | 0.0452506i | \(-0.0144086\pi\) |
−0.954207 | + | 0.299148i | \(0.903298\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 5.28526 | + | 3.86897i | 0.427288 | + | 0.312788i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.800151 | − | 0.671407i | 0.0642697 | − | 0.0539287i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.773720 | − | 4.38798i | 0.0617496 | − | 0.350199i | −0.938242 | − | 0.345981i | \(-0.887546\pi\) |
0.999991 | − | 0.00421821i | \(-0.00134270\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 8.16124 | − | 7.32198i | 0.647228 | − | 0.580671i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −38.7219 | −3.05171 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −14.7936 | −1.15873 | −0.579363 | − | 0.815070i | \(-0.696698\pi\) | ||||
−0.579363 | + | 0.815070i | \(0.696698\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −2.17628 | + | 1.95248i | −0.169423 | + | 0.152001i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −2.43795 | + | 13.8263i | −0.188654 | + | 1.06991i | 0.732516 | + | 0.680750i | \(0.238346\pi\) |
−0.921170 | + | 0.389160i | \(0.872765\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 18.3811 | − | 15.4236i | 1.41393 | − | 1.18643i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 14.4110 | − | 6.35442i | 1.10203 | − | 0.485934i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 0.758809 | + | 4.30342i | 0.0576912 | + | 0.327183i | 0.999971 | − | 0.00764414i | \(-0.00243323\pi\) |
−0.942280 | + | 0.334827i | \(0.891322\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −19.4498 | + | 7.07916i | −1.47027 | + | 0.535134i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −1.06123 | − | 1.70511i | −0.0797669 | − | 0.128164i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 5.60157 | − | 9.70220i | 0.418681 | − | 0.725177i | −0.577126 | − | 0.816655i | \(-0.695826\pi\) |
0.995807 | + | 0.0914784i | \(0.0291592\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −6.28190 | − | 10.8806i | −0.466930 | − | 0.808746i | 0.532357 | − | 0.846520i | \(-0.321307\pi\) |
−0.999286 | + | 0.0377744i | \(0.987973\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 1.41939 | − | 9.96991i | 0.104925 | − | 0.736997i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 4.79410 | + | 4.02273i | 0.352469 | + | 0.295757i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.46612 | − | 1.98951i | −0.399723 | − | 0.145487i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 22.6624 | + | 5.77988i | 1.64845 | + | 0.420424i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 8.13921 | + | 2.96243i | 0.588932 | + | 0.214354i | 0.619260 | − | 0.785186i | \(-0.287433\pi\) |
−0.0303275 | + | 0.999540i | \(0.509655\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 13.7290 | + | 11.5200i | 0.988234 | + | 0.829227i | 0.985311 | − | 0.170769i | \(-0.0546250\pi\) |
0.00292332 | + | 0.999996i | \(0.499069\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −5.25248 | − | 4.11886i | −0.376138 | − | 0.294957i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −8.91610 | − | 15.4431i | −0.635246 | − | 1.10028i | −0.986463 | − | 0.163984i | \(-0.947565\pi\) |
0.351217 | − | 0.936294i | \(-0.385768\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 10.6608 | − | 18.4651i | 0.755725 | − | 1.30895i | −0.189288 | − | 0.981922i | \(-0.560618\pi\) |
0.945013 | − | 0.327032i | \(-0.106049\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −2.21448 | + | 4.14689i | −0.156197 | + | 0.292499i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 27.2829 | − | 9.93017i | 1.91489 | − | 0.696961i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.19302 | − | 6.76593i | −0.0833239 | − | 0.472553i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 18.6295 | − | 17.8618i | 1.29484 | − | 1.24148i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −10.7146 | + | 8.99065i | −0.741147 | + | 0.621896i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.80886 | − | 15.9298i | 0.193370 | − | 1.09666i | −0.721351 | − | 0.692570i | \(-0.756478\pi\) |
0.914721 | − | 0.404086i | \(-0.132410\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0.790798 | + | 3.75346i | 0.0541846 | + | 0.257183i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −1.68581 | −0.114971 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 7.42021 | 0.503717 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −7.11852 | − | 2.32705i | −0.481025 | − | 0.157248i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 2.30602 | − | 13.0781i | 0.155120 | − | 0.879727i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 7.39264 | − | 6.20316i | 0.495047 | − | 0.415394i | −0.360784 | − | 0.932650i | \(-0.617491\pi\) |
0.855831 | + | 0.517255i | \(0.173046\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 6.09201 | − | 12.3777i | 0.406134 | − | 0.825182i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 1.54326 | + | 8.75226i | 0.102430 | + | 0.580908i | 0.992216 | + | 0.124530i | \(0.0397423\pi\) |
−0.889786 | + | 0.456378i | \(0.849147\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 7.99582 | − | 2.91024i | 0.528379 | − | 0.192314i | −0.0640355 | − | 0.997948i | \(-0.520397\pi\) |
0.592414 | + | 0.805633i | \(0.298175\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −20.7588 | + | 0.687690i | −1.36583 | + | 0.0452467i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 2.59160 | − | 4.48878i | 0.169781 | − | 0.294070i | −0.768562 | − | 0.639776i | \(-0.779027\pi\) |
0.938343 | + | 0.345706i | \(0.112361\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.21100 | − | 3.82957i | −0.144230 | − | 0.249813i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 14.4518 | − | 5.80881i | 0.938744 | − | 0.377323i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 8.34829 | + | 7.00505i | 0.540006 | + | 0.453119i | 0.871540 | − | 0.490324i | \(-0.163122\pi\) |
−0.331534 | + | 0.943443i | \(0.607566\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.73478 | − | 2.45126i | −0.433825 | − | 0.157900i | 0.115871 | − | 0.993264i | \(-0.463034\pi\) |
−0.549696 | + | 0.835365i | \(0.685256\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −13.5693 | + | 7.67302i | −0.870468 | + | 0.492225i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 7.89412 | + | 2.87323i | 0.504337 | + | 0.183564i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −24.4611 | − | 20.5253i | −1.55642 | − | 1.30600i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −18.6927 | + | 7.51344i | −1.18460 | + | 0.476145i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 0.463159 | + | 0.802215i | 0.0292343 | + | 0.0506354i | 0.880272 | − | 0.474469i | \(-0.157360\pi\) |
−0.851038 | + | 0.525104i | \(0.824026\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −11.4601 | + | 19.8495i | −0.720493 | + | 1.24793i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −2.39472 | + | 0.0793314i | −0.149963 | + | 0.00496793i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 3.89553 | − | 1.41786i | 0.242996 | − | 0.0884435i | −0.217651 | − | 0.976027i | \(-0.569839\pi\) |
0.460647 | + | 0.887583i | \(0.347617\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 7.72008 | + | 43.7828i | 0.479703 | + | 2.72053i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −8.54545 | + | 17.3626i | −0.528950 | + | 1.07472i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −18.1649 | + | 15.2421i | −1.12009 | + | 0.939871i | −0.998609 | − | 0.0527227i | \(-0.983210\pi\) |
−0.121485 | + | 0.992593i | \(0.538766\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.696471 | + | 3.94988i | −0.0427838 | + | 0.242639i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 7.48061 | + | 2.44542i | 0.457806 | + | 0.149657i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 8.44050 | 0.514627 | 0.257313 | − | 0.966328i | \(-0.417163\pi\) | ||||
0.257313 | + | 0.966328i | \(0.417163\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 18.9024 | 1.14824 | 0.574121 | − | 0.818771i | \(-0.305344\pi\) | ||||
0.574121 | + | 0.818771i | \(0.305344\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −9.77558 | − | 46.3990i | −0.591645 | − | 2.80819i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −2.12747 | + | 12.0655i | −0.128291 | + | 0.727576i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.736157 | − | 0.617709i | 0.0442314 | − | 0.0371146i | −0.620404 | − | 0.784282i | \(-0.713031\pi\) |
0.664635 | + | 0.747168i | \(0.268587\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −3.56994 | + | 3.42282i | −0.213727 | + | 0.204919i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 4.28635 | + | 24.3091i | 0.255702 | + | 1.45016i | 0.794263 | + | 0.607574i | \(0.207857\pi\) |
−0.538561 | + | 0.842587i | \(0.681032\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 12.2614 | − | 4.46277i | 0.728862 | − | 0.265284i | 0.0491789 | − | 0.998790i | \(-0.484340\pi\) |
0.679683 | + | 0.733506i | \(0.262117\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −2.71389 | + | 5.08210i | −0.160757 | + | 0.301037i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 24.4031 | − | 42.2674i | 1.44047 | − | 2.49496i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 6.11650 | + | 10.5941i | 0.359794 | + | 0.623182i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 6.84825 | + | 5.37022i | 0.401451 | + | 0.314808i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 2.15956 | + | 1.81208i | 0.126163 | + | 0.105863i | 0.703686 | − | 0.710511i | \(-0.251536\pi\) |
−0.577523 | + | 0.816374i | \(0.695981\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.690370 | + | 0.251274i | 0.0401949 | + | 0.0146297i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 9.67004 | − | 9.90654i | 0.561112 | − | 0.574836i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −49.1705 | − | 17.8966i | −2.84360 | − | 1.03499i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −9.17405 | − | 7.69795i | −0.528784 | − | 0.443702i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −0.541743 | + | 3.80524i | −0.0311223 | + | 0.218605i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 1.84191 | + | 3.19028i | 0.105467 | + | 0.182675i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.46943 | − | 4.27718i | 0.140938 | − | 0.244111i | −0.786912 | − | 0.617065i | \(-0.788322\pi\) |
0.927850 | + | 0.372954i | \(0.121655\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 3.25382 | + | 5.22801i | 0.185103 | + | 0.297411i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 4.63225 | − | 1.68600i | 0.262671 | − | 0.0956043i | −0.207328 | − | 0.978272i | \(-0.566477\pi\) |
0.469998 | + | 0.882667i | \(0.344254\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.45265 | + | 8.23839i | 0.0821087 | + | 0.465661i | 0.997943 | + | 0.0641054i | \(0.0204194\pi\) |
−0.915834 | + | 0.401556i | \(0.868470\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −7.82814 | + | 3.45177i | −0.441066 | + | 0.194485i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −0.620276 | + | 0.520474i | −0.0348382 | + | 0.0292327i | −0.660041 | − | 0.751230i | \(-0.729461\pi\) |
0.625202 | + | 0.780463i | \(0.285016\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.98427 | − | 16.9247i | 0.167087 | − | 0.947599i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 16.8842 | − | 15.1479i | 0.942381 | − | 0.845473i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −11.4624 | −0.637783 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −27.9700 | −1.55150 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 2.93875 | − | 2.63654i | 0.162513 | − | 0.145801i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 5.45491 | − | 30.9363i | 0.300739 | − | 1.70558i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −17.9684 | + | 15.0773i | −0.987633 | + | 0.828723i | −0.985223 | − | 0.171274i | \(-0.945212\pi\) |
−0.00240997 | + | 0.999997i | \(0.500767\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −23.9105 | − | 17.5032i | −1.31029 | − | 0.959168i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −0.298622 | − | 1.69357i | −0.0163154 | − | 0.0925295i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 24.3530 | − | 8.86375i | 1.32659 | − | 0.482839i | 0.421026 | − | 0.907049i | \(-0.361670\pi\) |
0.905564 | + | 0.424209i | \(0.139448\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 15.6517 | + | 25.1481i | 0.850086 | + | 1.36586i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 2.19609 | − | 3.80374i | 0.118925 | − | 0.205984i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 14.0857 | + | 24.3971i | 0.760555 | + | 1.31732i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −1.33068 | + | 9.34677i | −0.0716413 | + | 0.503213i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 16.3207 | + | 13.6947i | 0.876141 | + | 0.735170i | 0.965382 | − | 0.260840i | \(-0.0839996\pi\) |
−0.0892406 | + | 0.996010i | \(0.528444\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.94199 | − | 0.706825i | −0.103952 | − | 0.0378355i | 0.289520 | − | 0.957172i | \(-0.406504\pi\) |
−0.393473 | + | 0.919336i | \(0.628726\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 26.1062 | + | 17.8137i | 1.39345 | + | 0.950824i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 6.98928 | + | 2.54389i | 0.372002 | + | 0.135398i | 0.521254 | − | 0.853402i | \(-0.325464\pi\) |
−0.149252 | + | 0.988799i | \(0.547687\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.07489 | − | 0.901943i | −0.0570494 | − | 0.0478702i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −13.3941 | − | 10.5033i | −0.708892 | − | 0.555895i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −18.7520 | − | 32.4794i | −0.989693 | − | 1.71420i | −0.618865 | − | 0.785497i | \(-0.712407\pi\) |
−0.370828 | − | 0.928702i | \(-0.620926\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −4.28079 | + | 7.41455i | −0.225305 | + | 0.390239i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 3.18350 | − | 5.96150i | 0.167090 | − | 0.312898i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 2.57437 | − | 0.936996i | 0.134749 | − | 0.0490446i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.30427 | − | 7.39687i | −0.0680822 | − | 0.386113i | −0.999741 | − | 0.0227779i | \(-0.992749\pi\) |
0.931658 | − | 0.363336i | \(-0.118362\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 7.75667 | + | 31.5920i | 0.403796 | + | 1.64461i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −21.8265 | + | 18.3146i | −1.13318 | + | 0.950849i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −2.78673 | + | 15.8043i | −0.144291 | + | 0.818316i | 0.823642 | + | 0.567110i | \(0.191938\pi\) |
−0.967934 | + | 0.251207i | \(0.919173\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 2.17160 | + | 10.3073i | 0.112141 | + | 0.532267i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 39.2344 | 2.02068 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 34.3302 | 1.76342 | 0.881711 | − | 0.471790i | \(-0.156392\pi\) | ||||
0.881711 | + | 0.471790i | \(0.156392\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 17.4122 | + | 5.69206i | 0.892054 | + | 0.291613i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −3.67508 | + | 20.8424i | −0.187788 | + | 1.06500i | 0.734533 | + | 0.678573i | \(0.237401\pi\) |
−0.922321 | + | 0.386425i | \(0.873710\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 5.82027 | − | 4.88379i | 0.296629 | − | 0.248901i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 7.96466 | − | 0.528281i | 0.404866 | − | 0.0268540i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −5.43253 | − | 30.8094i | −0.275440 | − | 1.56210i | −0.737560 | − | 0.675282i | \(-0.764022\pi\) |
0.462119 | − | 0.886818i | \(-0.347089\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −17.6505 | + | 6.42425i | −0.892623 | + | 0.324888i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −2.43316 | + | 0.0806048i | −0.122737 | + | 0.00406598i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −2.84879 | + | 4.93426i | −0.143338 | + | 0.248269i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 12.7579 | + | 22.0974i | 0.640301 | + | 1.10903i | 0.985365 | + | 0.170455i | \(0.0545238\pi\) |
−0.345064 | + | 0.938579i | \(0.612143\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −37.9752 | + | 15.2639i | −1.90114 | + | 0.764152i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −7.78703 | − | 6.53410i | −0.388866 | − | 0.326297i | 0.427305 | − | 0.904107i | \(-0.359463\pi\) |
−0.816171 | + | 0.577810i | \(0.803907\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 9.42247 | + | 3.42950i | 0.469367 | + | 0.170835i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 2.17395 | − | 5.27167i | 0.108025 | − | 0.261951i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 24.7287 | + | 9.00050i | 1.22576 | + | 0.446138i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −23.6868 | − | 19.8756i | −1.17123 | − | 0.982783i | −0.171238 | − | 0.985230i | \(-0.554777\pi\) |
−0.999997 | + | 0.00244702i | \(0.999221\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −7.21961 | + | 2.90188i | −0.356117 | + | 0.143139i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 2.60954 | + | 4.51986i | 0.128407 | + | 0.222408i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 3.68479 | − | 6.38224i | 0.180879 | − | 0.313292i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −12.8045 | + | 0.424182i | −0.627037 | + | 0.0207723i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −22.8832 | + | 8.32882i | −1.11792 | + | 0.406889i | −0.833893 | − | 0.551927i | \(-0.813893\pi\) |
−0.284027 | + | 0.958816i | \(0.591671\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.22879 | + | 29.6540i | 0.254836 | + | 1.44525i | 0.796494 | + | 0.604646i | \(0.206686\pi\) |
−0.541658 | + | 0.840599i | \(0.682203\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 11.6460 | + | 17.4000i | 0.566248 | + | 0.846018i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −7.69127 | + | 6.45374i | −0.373081 | + | 0.313053i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −4.54429 | + | 25.7720i | −0.219914 | + | 1.24719i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −26.6781 | − | 8.72111i | −1.28803 | − | 0.421059i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −2.09741 | −0.101029 | −0.0505143 | − | 0.998723i | \(-0.516086\pi\) | ||||
−0.0505143 | + | 0.998723i | \(0.516086\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 15.1676 | 0.728908 | 0.364454 | − | 0.931221i | \(-0.381256\pi\) | ||||
0.364454 | + | 0.931221i | \(0.381256\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.45939 | − | 6.92686i | −0.0699722 | − | 0.332117i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −7.84279 | + | 44.4787i | −0.375172 | + | 2.12770i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1.45347 | − | 1.21961i | 0.0693705 | − | 0.0582087i | −0.607443 | − | 0.794363i | \(-0.707805\pi\) |
0.676814 | + | 0.736154i | \(0.263360\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −38.1964 | − | 11.1009i | −1.81887 | − | 0.528612i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 6.67722 | + | 37.8684i | 0.317244 | + | 1.79918i | 0.559350 | + | 0.828932i | \(0.311051\pi\) |
−0.242106 | + | 0.970250i | \(0.577838\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −2.70532 | + | 0.984657i | −0.128245 | + | 0.0466772i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 9.38839 | − | 17.5810i | 0.444056 | − | 0.831551i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −9.45302 | + | 16.3731i | −0.446116 | + | 0.772695i | −0.998129 | − | 0.0611402i | \(-0.980526\pi\) |
0.552014 | + | 0.833835i | \(0.313860\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −14.4447 | − | 25.0189i | −0.680174 | − | 1.17810i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 4.31797 | + | 3.38604i | 0.202876 | + | 0.159090i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 13.2875 | + | 11.1495i | 0.622926 | + | 0.522697i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −30.0918 | − | 10.9525i | −1.40763 | − | 0.512337i | −0.477199 | − | 0.878795i | \(-0.658348\pi\) |
−0.930434 | + | 0.366458i | \(0.880570\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 11.2890 | − | 1.12523i | 0.526928 | − | 0.0525214i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 15.0538 | + | 5.47915i | 0.701127 | + | 0.255189i | 0.667892 | − | 0.744258i | \(-0.267197\pi\) |
0.0332348 | + | 0.999448i | \(0.489419\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −11.1857 | − | 9.38595i | −0.519846 | − | 0.436202i | 0.344732 | − | 0.938701i | \(-0.387970\pi\) |
−0.864578 | + | 0.502499i | \(0.832414\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0.254996 | − | 1.79111i | 0.0118251 | − | 0.0830606i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 14.3380 | + | 24.8341i | 0.663481 | + | 1.14918i | 0.979695 | + | 0.200495i | \(0.0642551\pi\) |
−0.316213 | + | 0.948688i | \(0.602412\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 6.10829 | − | 10.5799i | 0.282054 | − | 0.488533i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −4.07790 | − | 6.55209i | −0.187900 | − | 0.301904i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −6.66126 | + | 2.42450i | −0.306285 | + | 0.111479i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.19222 | + | 23.7753i | 0.192352 | + | 1.09088i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 2.05272 | − | 18.8796i | 0.0939877 | − | 0.864436i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 12.2166 | − | 10.2509i | 0.558191 | − | 0.468378i | −0.319513 | − | 0.947582i | \(-0.603519\pi\) |
0.877703 | + | 0.479204i | \(0.159075\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −10.4324 | + | 59.1651i | −0.475677 | + | 2.69770i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −49.9218 | + | 44.7881i | −2.27152 | + | 2.03793i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −3.18350 | −0.144555 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −2.28598 | −0.103588 | −0.0517938 | − | 0.998658i | \(-0.516494\pi\) | ||||
−0.0517938 | + | 0.998658i | \(0.516494\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −19.0725 | + | 17.1112i | −0.862488 | + | 0.773795i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 6.49458 | − | 36.8326i | 0.293096 | − | 1.66223i | −0.381745 | − | 0.924268i | \(-0.624677\pi\) |
0.674841 | − | 0.737963i | \(-0.264212\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 10.7888 | − | 9.05287i | 0.485903 | − | 0.407721i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −0.547380 | + | 5.03443i | −0.0246029 | + | 0.226281i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −1.73093 | − | 9.81661i | −0.0776429 | − | 0.440335i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −19.7292 | + | 7.18085i | −0.883201 | + | 0.321459i | −0.743501 | − | 0.668735i | \(-0.766836\pi\) |
−0.139700 | + | 0.990194i | \(0.544614\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 12.8492 | + | 20.6453i | 0.574061 | + | 0.922362i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −5.71418 | + | 9.89725i | −0.254783 | + | 0.441297i | −0.964836 | − | 0.262851i | \(-0.915337\pi\) |
0.710054 | + | 0.704147i | \(0.248671\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.703005 | − | 1.21764i | −0.0312833 | − | 0.0541843i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 5.85777 | − | 41.1454i | 0.260153 | − | 1.82733i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −0.524575 | − | 0.440171i | −0.0232514 | − | 0.0195102i | 0.631088 | − | 0.775711i | \(-0.282609\pi\) |
−0.654339 | + | 0.756201i | \(0.727053\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 18.2882 | + | 6.65635i | 0.809021 | + | 0.294460i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 11.2293 | − | 24.8609i | 0.495784 | − | 1.09764i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −2.11673 | − | 0.770427i | −0.0932743 | − | 0.0339491i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −14.2441 | − | 11.9522i | −0.626454 | − | 0.525658i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 5.95588 | + | 4.67045i | 0.261434 | + | 0.205010i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 4.94365 | + | 8.56266i | 0.216585 | + | 0.375137i | 0.953762 | − | 0.300563i | \(-0.0971747\pi\) |
−0.737176 | + | 0.675700i | \(0.763841\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −8.70164 | + | 15.0717i | −0.380496 | + | 0.659039i | −0.991133 | − | 0.132872i | \(-0.957580\pi\) |
0.610637 | + | 0.791911i | \(0.290913\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −16.8873 | + | 31.6236i | −0.737021 | + | 1.38017i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 3.38233 | − | 1.23107i | 0.147337 | − | 0.0536262i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 8.85799 | + | 50.2361i | 0.385130 | + | 2.18418i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −3.34041 | − | 0.970811i | −0.144962 | − | 0.0421296i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 50.5232 | − | 42.3940i | 2.18840 | − | 1.83629i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.44087 | + | 8.17160i | −0.0622944 | + | 0.353289i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −4.00040 | − | 18.9876i | −0.172630 | − | 0.819374i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 35.3248 | 1.52155 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2.20067 | 0.0946143 | 0.0473072 | − | 0.998880i | \(-0.484936\pi\) | ||||
0.0473072 | + | 0.998880i | \(0.484936\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −20.6840 | − | 6.76161i | −0.887635 | − | 0.290169i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −0.250789 | + | 1.42230i | −0.0107426 | + | 0.0609245i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −16.9099 | + | 14.1891i | −0.723014 | + | 0.606681i | −0.928217 | − | 0.372038i | \(-0.878659\pi\) |
0.205203 | + | 0.978719i | \(0.434215\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −9.70187 | − | 14.4954i | −0.414066 | − | 0.618646i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −5.88057 | − | 33.3503i | −0.250521 | − | 1.42077i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −38.0343 | + | 13.8433i | −1.61738 | + | 0.588679i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 10.8337 | − | 0.358894i | 0.459864 | − | 0.0152342i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 16.9433 | − | 29.3467i | 0.717912 | − | 1.24346i | −0.243914 | − | 0.969797i | \(-0.578431\pi\) |
0.961826 | − | 0.273663i | \(-0.0882352\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −8.09170 | − | 14.0152i | −0.342242 | − | 0.592781i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −9.34832 | + | 3.75750i | −0.394686 | + | 0.158642i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 20.3543 | + | 17.0793i | 0.857833 | + | 0.719807i | 0.961500 | − | 0.274805i | \(-0.0886132\pi\) |
−0.103667 | + | 0.994612i | \(0.533058\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −10.1821 | − | 3.70596i | −0.428362 | − | 0.155911i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 35.9026 | − | 18.7611i | 1.50777 | − | 0.787890i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −18.7991 | − | 6.84231i | −0.788099 | − | 0.286844i | −0.0835532 | − | 0.996503i | \(-0.526627\pi\) |
−0.704545 | + | 0.709659i | \(0.748849\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 8.99142 | + | 7.54469i | 0.376279 | + | 0.315736i | 0.811240 | − | 0.584714i | \(-0.198793\pi\) |
−0.434961 | + | 0.900450i | \(0.643238\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 13.9199 | − | 5.59503i | 0.581512 | − | 0.233736i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 19.7806 | + | 34.2611i | 0.824910 | + | 1.42879i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 9.63954 | − | 16.6962i | 0.401299 | − | 0.695071i | −0.592584 | − | 0.805509i | \(-0.701892\pi\) |
0.993883 | + | 0.110438i | \(0.0352253\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 31.0247 | − | 1.02777i | 1.28934 | − | 0.0427129i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 49.1957 | − | 17.9058i | 2.04098 | − | 0.742856i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2.92863 | + | 16.6091i | 0.121291 | + | 0.687878i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −11.5358 | + | 0.765149i | −0.476947 | + | 0.0316350i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −12.3723 | + | 10.3816i | −0.510661 | + | 0.428496i | −0.861362 | − | 0.507992i | \(-0.830388\pi\) |
0.350701 | + | 0.936488i | \(0.385944\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.50290 | − | 8.52338i | 0.0619260 | − | 0.351200i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −29.3575 | − | 9.59698i | −1.20760 | − | 0.394767i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 46.9935 | 1.92979 | 0.964897 | − | 0.262630i | \(-0.0845897\pi\) | ||||
0.964897 | + | 0.262630i | \(0.0845897\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 6.22644 | 0.255259 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −7.61350 | − | 36.1368i | −0.311600 | − | 1.47898i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −5.28443 | + | 29.9695i | −0.215916 | + | 1.22452i | 0.663394 | + | 0.748270i | \(0.269115\pi\) |
−0.879310 | + | 0.476250i | \(0.841996\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 12.1151 | − | 10.1658i | 0.494185 | − | 0.414670i | −0.361338 | − | 0.932435i | \(-0.617680\pi\) |
0.855523 | + | 0.517764i | \(0.173236\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 1.94156 | + | 7.90772i | 0.0790663 | + | 0.322027i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0.429294 | + | 2.43465i | 0.0174533 | + | 0.0989824i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −10.4661 | + | 3.80934i | −0.424805 | + | 0.154616i | −0.545571 | − | 0.838065i | \(-0.683687\pi\) |
0.120766 | + | 0.992681i | \(0.461465\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 23.6883 | − | 44.3594i | 0.959900 | − | 1.79754i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 21.2251 | − | 36.7630i | 0.858676 | − | 1.48727i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −7.81559 | − | 13.5370i | −0.315669 | − | 0.546754i | 0.663911 | − | 0.747812i | \(-0.268896\pi\) |
−0.979579 | + | 0.201057i | \(0.935562\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −9.36398 | − | 7.34299i | −0.377592 | − | 0.296098i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 32.3344 | + | 27.1318i | 1.30174 | + | 1.09229i | 0.989842 | + | 0.142169i | \(0.0454076\pi\) |
0.311893 | + | 0.950117i | \(0.399037\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 4.89647 | + | 1.78217i | 0.196806 | + | 0.0716315i | 0.438543 | − | 0.898710i | \(-0.355495\pi\) |
−0.241737 | + | 0.970342i | \(0.577717\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 3.35784 | − | 44.5761i | 0.134745 | − | 1.78878i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −19.2184 | − | 6.99493i | −0.769969 | − | 0.280246i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 14.6618 | + | 12.3027i | 0.586470 | + | 0.492107i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −3.41459 | + | 23.9843i | −0.136366 | + | 0.957840i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 10.7829 | + | 18.6765i | 0.429943 | + | 0.744682i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −18.2625 | + | 31.6315i | −0.727017 | + | 1.25923i | 0.231121 | + | 0.972925i | \(0.425761\pi\) |
−0.958138 | + | 0.286306i | \(0.907573\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −14.8041 | − | 23.7863i | −0.588412 | − | 0.945419i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −6.29703 | + | 2.29193i | −0.249890 | + | 0.0909525i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 14.0039 | + | 79.4201i | 0.554855 | + | 3.14674i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 5.36100 | + | 3.92441i | 0.212078 | + | 0.155247i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 24.1848 | − | 20.2934i | 0.955241 | − | 0.801542i | −0.0249313 | − | 0.999689i | \(-0.507937\pi\) |
0.980172 | + | 0.198147i | \(0.0634922\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 2.75410 | − | 15.6193i | 0.108611 | − | 0.615964i | −0.881105 | − | 0.472920i | \(-0.843200\pi\) |
0.989716 | − | 0.143044i | \(-0.0456889\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −2.17341 | + | 1.94991i | −0.0855780 | + | 0.0767777i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −32.4062 | −1.27402 | −0.637009 | − | 0.770856i | \(-0.719829\pi\) | ||||
−0.637009 | + | 0.770856i | \(0.719829\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.08928 | 0.121265 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 9.56642 | − | 8.58267i | 0.374938 | − | 0.336381i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −0.255616 | + | 1.44967i | −0.0100030 | + | 0.0567299i | −0.989401 | − | 0.145211i | \(-0.953614\pi\) |
0.979398 | + | 0.201941i | \(0.0647250\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.682200 | − | 0.572434i | 0.0266558 | − | 0.0223668i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −11.8691 | + | 5.23359i | −0.463057 | + | 0.204182i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −2.80071 | − | 15.8836i | −0.109100 | − | 0.618738i | −0.989503 | − | 0.144512i | \(-0.953839\pi\) |
0.880403 | − | 0.474226i | \(-0.157272\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −17.0254 | + | 6.19674i | −0.662212 | + | 0.241025i | −0.651191 | − | 0.758914i | \(-0.725730\pi\) |
−0.0110207 | + | 0.999939i | \(0.503508\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −12.1539 | − | 19.5281i | −0.472018 | − | 0.758407i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 7.48583 | − | 12.9658i | 0.290288 | − | 0.502794i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −27.7469 | − | 48.0591i | −1.07437 | − | 1.86086i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 2.35592 | − | 16.5481i | 0.0910851 | − | 0.639787i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 11.8662 | + | 9.95696i | 0.458091 | + | 0.384384i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −14.2056 | − | 5.17042i | −0.547586 | − | 0.199305i | 0.0533876 | − | 0.998574i | \(-0.482998\pi\) |
−0.600974 | + | 0.799269i | \(0.705220\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −6.46280 | − | 23.0042i | −0.248753 | − | 0.885433i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 11.4765 | + | 4.17709i | 0.441076 | + | 0.160539i | 0.553005 | − | 0.833178i | \(-0.313481\pi\) |
−0.111930 | + | 0.993716i | \(0.535703\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −17.3244 | − | 14.5369i | −0.664848 | − | 0.557874i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 12.1130 | + | 9.49872i | 0.464172 | + | 0.363992i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −7.81793 | − | 13.5410i | −0.299145 | − | 0.518134i | 0.676796 | − | 0.736171i | \(-0.263368\pi\) |
−0.975941 | + | 0.218037i | \(0.930035\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.42316 | − | 2.46499i | 0.0543762 | − | 0.0941823i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 6.94236 | − | 13.0005i | 0.264867 | − | 0.495998i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −36.1809 | + | 13.1688i | −1.37838 | + | 0.501690i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −7.74859 | − | 43.9445i | −0.294770 | − | 1.67173i | −0.668134 | − | 0.744041i | \(-0.732907\pi\) |
0.373364 | − | 0.927685i | \(-0.378204\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −25.9676 | + | 24.8975i | −0.986428 | + | 0.945777i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 3.59007 | − | 3.01243i | 0.136179 | − | 0.114268i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 4.11111 | − | 23.3153i | 0.155719 | − | 0.883128i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −1.85081 | − | 8.78471i | −0.0700041 | − | 0.332268i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −31.3282 | −1.18325 | −0.591624 | − | 0.806214i | \(-0.701513\pi\) | ||||
−0.591624 | + | 0.806214i | \(0.701513\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 51.8556 | 1.95577 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −7.28002 | − | 2.37985i | −0.274181 | − | 0.0896302i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 1.73443 | − | 9.83644i | 0.0652300 | − | 0.369937i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 12.9667 | − | 10.8804i | 0.486976 | − | 0.408622i | −0.365965 | − | 0.930629i | \(-0.619261\pi\) |
0.852941 | + | 0.522007i | \(0.174817\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 11.9130 | − | 24.2047i | 0.446771 | − | 0.907749i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −2.46279 | − | 13.9672i | −0.0922321 | − | 0.523074i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 9.64801 | − | 3.51159i | 0.360815 | − | 0.131326i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 18.8654 | − | 0.624967i | 0.704542 | − | 0.0233398i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −2.15840 | + | 3.73847i | −0.0804949 | + | 0.139421i | −0.903463 | − | 0.428667i | \(-0.858983\pi\) |
0.822968 | + | 0.568088i | \(0.192317\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −8.00107 | − | 13.8583i | −0.297975 | − | 0.516108i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −11.5180 | + | 4.62960i | −0.428360 | + | 0.172177i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −22.7234 | − | 19.0672i | −0.843925 | − | 0.708137i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 27.3206 | + | 9.94387i | 1.01326 | + | 0.368798i | 0.794685 | − | 0.607022i | \(-0.207636\pi\) |
0.218578 | + | 0.975819i | \(0.429858\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −8.61892 | + | 25.5874i | −0.319219 | + | 0.947681i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −5.45893 | − | 1.98689i | −0.201906 | − | 0.0734877i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 33.1021 | + | 27.7760i | 1.22265 | + | 1.02593i | 0.998682 | + | 0.0513328i | \(0.0163469\pi\) |
0.223972 | + | 0.974596i | \(0.428098\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 13.5008 | − | 5.42655i | 0.497983 | − | 0.200161i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −3.61562 | − | 6.26244i | −0.133183 | − | 0.230680i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 12.6164 | − | 21.8523i | 0.464103 | − | 0.803851i | −0.535057 | − | 0.844816i | \(-0.679710\pi\) |
0.999161 | + | 0.0409652i | \(0.0130433\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −55.2771 | + | 1.83120i | −2.03065 | + | 0.0672708i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −23.7129 | + | 8.63079i | −0.869942 | + | 0.316633i | −0.738144 | − | 0.674644i | \(-0.764297\pi\) |
−0.131798 | + | 0.991277i | \(0.542075\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.26602 | + | 7.17997i | 0.0463835 | + | 0.263054i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −15.4089 | + | 31.3078i | −0.563781 | + | 1.14549i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −45.1552 | + | 37.8897i | −1.64994 | + | 1.38446i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −0.788828 | + | 4.47366i | −0.0287847 | + | 0.163246i | −0.995812 | − | 0.0914275i | \(-0.970857\pi\) |
0.967027 | + | 0.254674i | \(0.0819681\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 1.52501 | + | 0.498528i | 0.0555746 | + | 0.0181674i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −2.00727 | −0.0730519 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −9.51249 | −0.345737 | −0.172869 | − | 0.984945i | \(-0.555304\pi\) | ||||
−0.172869 | + | 0.984945i | \(0.555304\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 8.18434 | + | 38.8463i | 0.297073 | + | 1.41003i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 7.46513 | − | 42.3369i | 0.270611 | − | 1.53471i | −0.481956 | − | 0.876195i | \(-0.660074\pi\) |
0.752567 | − | 0.658515i | \(-0.228815\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −7.85943 | + | 6.59484i | −0.284530 | + | 0.238749i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −2.99560 | + | 2.87215i | −0.108306 | + | 0.103843i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 1.22469 | + | 6.94558i | 0.0442211 | + | 0.250790i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −9.99054 | + | 3.63626i | −0.360268 | + | 0.131127i | −0.515811 | − | 0.856702i | \(-0.672509\pi\) |
0.155543 | + | 0.987829i | \(0.450287\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 3.38229 | − | 6.33376i | 0.121810 | − | 0.228105i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −2.02035 | + | 3.49935i | −0.0726669 | + | 0.125863i | −0.900069 | − | 0.435747i | \(-0.856484\pi\) |
0.827402 | + | 0.561610i | \(0.189818\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −3.79053 | − | 6.56540i | −0.136160 | − | 0.235836i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 60.5948 | + | 47.5169i | 2.17383 | + | 1.70466i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −43.6086 | − | 36.5920i | −1.56244 | − | 1.31104i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −5.54446 | − | 2.01802i | −0.198396 | − | 0.0722104i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 9.06557 | + | 32.2688i | 0.323977 | + | 1.15319i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 2.65283 | + | 0.965550i | 0.0946835 | + | 0.0344620i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 9.49661 | + | 7.96860i | 0.338518 | + | 0.284050i | 0.796160 | − | 0.605086i | \(-0.206861\pi\) |
−0.457642 | + | 0.889136i | \(0.651306\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −5.78886 | + | 40.6614i | −0.206089 | + | 1.44758i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −38.4873 | − | 66.6620i | −1.36845 | − | 2.37023i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −17.6819 | + | 30.6259i | −0.627902 | + | 1.08756i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 3.67076 | + | 5.89792i | 0.130188 | + | 0.209178i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −34.2876 | + | 12.4797i | −1.21453 | + | 0.442053i | −0.868273 | − | 0.496087i | \(-0.834770\pi\) |
−0.346257 | + | 0.938140i | \(0.612547\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −2.64607 | − | 15.0066i | −0.0936113 | − | 0.530896i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 12.4728 | − | 5.49980i | 0.440705 | − | 0.194326i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 8.82473 | − | 7.40483i | 0.311418 | − | 0.261311i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 4.26027 | − | 24.1612i | 0.150155 | − | 0.851569i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 10.8818 | − | 9.76280i | 0.383058 | − | 0.343667i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −6.02328 | −0.211767 | −0.105884 | − | 0.994379i | \(-0.533767\pi\) | ||||
−0.105884 | + | 0.994379i | \(0.533767\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 26.0322 | 0.914113 | 0.457056 | − | 0.889438i | \(-0.348904\pi\) | ||||
0.457056 | + | 0.889438i | \(0.348904\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 24.3698 | − | 21.8637i | 0.854685 | − | 0.766794i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 1.62762 | − | 9.23072i | 0.0570132 | − | 0.323338i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −10.7005 | + | 8.97881i | −0.374364 | + | 0.314129i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −66.2709 | − | 48.5123i | −2.31569 | − | 1.69516i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 7.15846 | + | 40.5977i | 0.249832 | + | 1.41687i | 0.808998 | + | 0.587812i | \(0.200011\pi\) |
−0.559166 | + | 0.829056i | \(0.688878\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 5.13508 | − | 1.86902i | 0.178998 | − | 0.0651499i | −0.250966 | − | 0.967996i | \(-0.580748\pi\) |
0.429964 | + | 0.902846i | \(0.358526\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 11.2129 | + | 18.0161i | 0.390382 | + | 0.627238i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −6.36965 | + | 11.0326i | −0.221495 | + | 0.383640i | −0.955262 | − | 0.295761i | \(-0.904427\pi\) |
0.733767 | + | 0.679401i | \(0.237760\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 12.4276 | + | 21.5252i | 0.431628 | + | 0.747602i | 0.997014 | − | 0.0772248i | \(-0.0246059\pi\) |
−0.565385 | + | 0.824827i | \(0.691273\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0.234602 | − | 1.64786i | 0.00813825 | − | 0.0571636i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 22.1761 | + | 18.6079i | 0.768355 | + | 0.644726i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −8.35891 | − | 3.04240i | −0.289272 | − | 0.105286i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −0.643457 | + | 8.54204i | −0.0222411 | + | 0.295256i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 15.5444 | + | 5.65769i | 0.536651 | + | 0.195325i | 0.596106 | − | 0.802906i | \(-0.296714\pi\) |
−0.0594546 | + | 0.998231i | \(0.518936\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 9.65951 | + | 8.10529i | 0.333087 | + | 0.279493i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 33.6435 | + | 26.3824i | 1.15875 | + | 0.908658i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 7.60147 | + | 13.1661i | 0.261498 | + | 0.452929i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −8.78118 | + | 15.2094i | −0.301725 | + | 0.522603i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 10.6459 | − | 19.9358i | 0.365366 | − | 0.684195i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 79.8505 | − | 29.0632i | 2.73724 | − | 0.996274i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −0.295246 | − | 1.67442i | −0.0101090 | − | 0.0573311i | 0.979336 | − | 0.202240i | \(-0.0648222\pi\) |
−0.989445 | + | 0.144909i | \(0.953711\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 2.37942 | + | 9.69108i | 0.0813744 | + | 0.331428i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 31.5593 | − | 26.4814i | 1.07805 | − | 0.904587i | 0.0822880 | − | 0.996609i | \(-0.473777\pi\) |
0.995757 | + | 0.0920214i | \(0.0293328\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 4.44434 | − | 25.2051i | 0.151639 | − | 0.859986i | −0.810156 | − | 0.586215i | \(-0.800618\pi\) |
0.961795 | − | 0.273772i | \(-0.0882713\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −17.4276 | − | 82.7188i | −0.593932 | − | 2.81905i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −26.3601 | −0.897307 | −0.448653 | − | 0.893706i | \(-0.648096\pi\) | ||||
−0.448653 | + | 0.893706i | \(0.648096\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −2.76867 | −0.0941378 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 20.1394 | + | 6.58359i | 0.683970 | + | 0.223591i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −4.16028 | + | 23.5941i | −0.141128 | + | 0.800376i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 12.6464 | − | 10.6116i | 0.428506 | − | 0.359559i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 15.0405 | − | 0.997611i | 0.509045 | − | 0.0337640i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −4.75329 | − | 26.9572i | −0.160691 | − | 0.911321i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 1.59646 | − | 0.581066i | 0.0539088 | − | 0.0196212i | −0.314925 | − | 0.949117i | \(-0.601979\pi\) |
0.368834 | + | 0.929495i | \(0.379757\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 4.88015 | − | 0.161668i | 0.164603 | − | 0.00545293i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 2.29591 | − | 3.97663i | 0.0773512 | − | 0.133976i | −0.824755 | − | 0.565490i | \(-0.808687\pi\) |
0.902106 | + | 0.431514i | \(0.142020\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −2.40692 | − | 4.16891i | −0.0809993 | − | 0.140295i | 0.822680 | − | 0.568505i | \(-0.192478\pi\) |
−0.903679 | + | 0.428210i | \(0.859144\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 1.18069 | − | 0.474572i | 0.0396885 | − | 0.0159526i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −8.49950 | − | 7.13193i | −0.285385 | − | 0.239467i | 0.488845 | − | 0.872371i | \(-0.337418\pi\) |
−0.774230 | + | 0.632904i | \(0.781863\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −44.7336 | − | 16.2817i | −1.50032 | − | 0.546071i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.00848 | − | 23.9568i | 0.0337852 | − | 0.802584i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −34.4308 | − | 12.5318i | −1.15218 | − | 0.419360i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.43755 | + | 4.56265i | 0.181757 | + | 0.152513i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −84.0928 | + | 33.8006i | −2.80778 | + | 1.12857i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 5.31710 | + | 9.20949i | 0.177335 | + | 0.307154i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −6.91059 | + | 11.9695i | −0.230225 | + | 0.398761i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −20.7315 | + | 0.686785i | −0.689900 | + | 0.0228548i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 7.48025 | − | 2.72259i | 0.248652 | − | 0.0905019i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −2.31198 | − | 13.1119i | −0.0767681 | − | 0.435374i | −0.998831 | − | 0.0483340i | \(-0.984609\pi\) |
0.922063 | − | 0.387040i | \(-0.126502\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 3.70293 | + | 5.53247i | 0.122819 | + | 0.183500i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −0.306097 | + | 0.256846i | −0.0101414 | + | 0.00850968i | −0.647844 | − | 0.761773i | \(-0.724329\pi\) |
0.637703 | + | 0.770282i | \(0.279885\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 5.38114 | − | 30.5180i | 0.178090 | − | 1.01000i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 6.06473 | + | 1.98256i | 0.200494 | + | 0.0655416i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 6.32639 | 0.208916 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 27.9099 | 0.920664 | 0.460332 | − | 0.887747i | \(-0.347730\pi\) | ||||
0.460332 | + | 0.887747i | \(0.347730\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −1.76356 | − | 8.37059i | −0.0581113 | − | 0.275820i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 2.33907 | − | 13.2655i | 0.0769913 | − | 0.436639i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 34.7952 | − | 29.1966i | 1.14406 | − | 0.959980i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 10.2420 | + | 2.97658i | 0.336391 | + | 0.0977638i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −2.74104 | − | 15.5452i | −0.0899306 | − | 0.510022i | −0.996183 | − | 0.0872853i | \(-0.972181\pi\) |
0.906253 | − | 0.422736i | \(-0.138930\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 65.4103 | − | 23.8074i | 2.14374 | − | 0.780256i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 4.02194 | − | 7.53159i | 0.131672 | − | 0.246573i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 1.84278 | − | 3.19179i | 0.0602653 | − | 0.104383i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 6.40102 | + | 11.0869i | 0.209112 | + | 0.362193i | 0.951435 | − | 0.307849i | \(-0.0996093\pi\) |
−0.742323 | + | 0.670042i | \(0.766276\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 11.4018 | + | 8.94102i | 0.372085 | + | 0.291779i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 0.0976652 | + | 0.0819508i | 0.00318379 | + | 0.00267152i | 0.644378 | − | 0.764707i | \(-0.277116\pi\) |
−0.641194 | + | 0.767379i | \(0.721561\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −87.6599 | − | 31.9056i | −2.85460 | − | 1.03899i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −6.09982 | + | 13.5047i | −0.198427 | + | 0.439306i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −28.0903 | − | 10.2240i | −0.912812 | − | 0.332236i | −0.157437 | − | 0.987529i | \(-0.550323\pi\) |
−0.755375 | + | 0.655293i | \(0.772545\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 20.1465 | + | 16.9050i | 0.653985 | + | 0.548758i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −0.197672 | + | 1.38846i | −0.00640997 | + | 0.0450240i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −13.3176 | − | 23.0668i | −0.431401 | − | 0.747208i | 0.565593 | − | 0.824684i | \(-0.308647\pi\) |
−0.996994 | + | 0.0774762i | \(0.975314\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −2.74395 | + | 4.75266i | −0.0887921 | + | 0.153792i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −15.7286 | − | 25.2717i | −0.508435 | − | 0.816918i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 19.0006 | − | 6.91566i | 0.613562 | − | 0.223318i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −4.91115 | − | 27.8525i | −0.158424 | − | 0.898469i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 4.24672 | − | 39.0585i | 0.136849 | − | 1.25864i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −8.69858 | + | 7.29898i | −0.280017 | + | 0.234962i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 5.57449 | − | 31.6145i | 0.179264 | − | 1.01665i | −0.753843 | − | 0.657055i | \(-0.771802\pi\) |
0.933107 | − | 0.359600i | \(-0.117087\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −14.7777 | + | 13.2581i | −0.474729 | + | 0.425911i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 31.5051 | 1.01105 | 0.505523 | − | 0.862813i | \(-0.331299\pi\) | ||||
0.505523 | + | 0.862813i | \(0.331299\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 33.2926 | 1.06731 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −36.0600 | + | 32.3518i | −1.15484 | + | 1.03609i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 7.20870 | − | 40.8826i | 0.230627 | − | 1.30795i | −0.621004 | − | 0.783807i | \(-0.713275\pi\) |
0.851631 | − | 0.524142i | \(-0.175614\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −9.27361 | + | 7.78148i | −0.296386 | + | 0.248697i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0.739157 | − | 6.79826i | 0.0235995 | − | 0.217052i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 10.5268 | + | 59.7005i | 0.335753 | + | 1.90415i | 0.419667 | + | 0.907678i | \(0.362147\pi\) |
−0.0839133 | + | 0.996473i | \(0.526742\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 10.6170 | − | 3.86426i | 0.338285 | − | 0.123126i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −28.7502 | − | 46.1938i | −0.915128 | − | 1.47036i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −11.4450 | + | 19.8234i | −0.363931 | + | 0.630348i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 5.29369 | + | 9.16895i | 0.168160 | + | 0.291261i | 0.937773 | − | 0.347249i | \(-0.112884\pi\) |
−0.769613 | + | 0.638510i | \(0.779551\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −5.72625 | + | 40.2216i | −0.181717 | + | 1.27639i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 10.3487 | + | 8.68355i | 0.328074 | + | 0.275287i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −50.6554 | − | 18.4371i | −1.60427 | − | 0.583907i | −0.623977 | − | 0.781443i | \(-0.714484\pi\) |
−0.980296 | + | 0.197536i | \(0.936706\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −51.0715 | + | 5.09054i | −1.61583 | + | 0.161058i |
(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 | 864.2.y.d.193.8 | yes | 60 | |
4.3 | odd | 2 | inner | 864.2.y.d.193.3 | ✓ | 60 | |
27.7 | even | 9 | inner | 864.2.y.d.385.8 | yes | 60 | |
108.7 | odd | 18 | inner | 864.2.y.d.385.3 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
864.2.y.d.193.3 | ✓ | 60 | 4.3 | odd | 2 | inner | |
864.2.y.d.193.8 | yes | 60 | 1.1 | even | 1 | trivial | |
864.2.y.d.385.3 | yes | 60 | 108.7 | odd | 18 | inner | |
864.2.y.d.385.8 | yes | 60 | 27.7 | even | 9 | inner |