Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(362,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([1, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.362");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.e (of order \(4\), degree \(2\), 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(i)\) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 483.4 | ||
Character | \(\chi\) | \(=\) | 605.483 |
Dual form | 605.2.e.b.362.4 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.03659 | − | 1.03659i | −0.732977 | − | 0.732977i | 0.238231 | − | 0.971208i | \(-0.423432\pi\) |
−0.971208 | + | 0.238231i | \(0.923432\pi\) | |||||||
\(3\) | 0.588647 | + | 0.588647i | 0.339856 | + | 0.339856i | 0.856313 | − | 0.516457i | \(-0.172750\pi\) |
−0.516457 | + | 0.856313i | \(0.672750\pi\) | |||||||
\(4\) | 0.149021i | 0.0745105i | ||||||||
\(5\) | −2.18706 | − | 0.465567i | −0.978085 | − | 0.208208i | ||||
\(6\) | − | 1.22037i | − | 0.498213i | ||||||
\(7\) | 2.98069 | + | 2.98069i | 1.12659 | + | 1.12659i | 0.990727 | + | 0.135866i | \(0.0433818\pi\) |
0.135866 | + | 0.990727i | \(0.456618\pi\) | |||||||
\(8\) | −1.91870 | + | 1.91870i | −0.678362 | + | 0.678362i | ||||
\(9\) | − | 2.30699i | − | 0.768996i | ||||||
\(10\) | 1.78448 | + | 2.74968i | 0.564302 | + | 0.869525i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | −0.0877208 | + | 0.0877208i | −0.0253228 | + | 0.0253228i | ||||
\(13\) | −0.654555 | + | 0.654555i | −0.181541 | + | 0.181541i | −0.792027 | − | 0.610486i | \(-0.790974\pi\) |
0.610486 | + | 0.792027i | \(0.290974\pi\) | |||||||
\(14\) | − | 6.17948i | − | 1.65153i | ||||||
\(15\) | −1.01335 | − | 1.56146i | −0.261647 | − | 0.403168i | ||||
\(16\) | 4.27583 | 1.06896 | ||||||||
\(17\) | 1.36314 | + | 1.36314i | 0.330609 | + | 0.330609i | 0.852818 | − | 0.522209i | \(-0.174892\pi\) |
−0.522209 | + | 0.852818i | \(0.674892\pi\) | |||||||
\(18\) | −2.39139 | + | 2.39139i | −0.563657 | + | 0.563657i | ||||
\(19\) | 5.43176 | 1.24613 | 0.623066 | − | 0.782170i | \(-0.285887\pi\) | ||||
0.623066 | + | 0.782170i | \(0.285887\pi\) | |||||||
\(20\) | 0.0693793 | − | 0.325918i | 0.0155137 | − | 0.0728776i | ||||
\(21\) | 3.50915i | 0.765758i | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.95998 | + | 1.95998i | 0.408685 | + | 0.408685i | 0.881280 | − | 0.472595i | \(-0.156683\pi\) |
−0.472595 | + | 0.881280i | \(0.656683\pi\) | |||||||
\(24\) | −2.25887 | −0.461091 | ||||||||
\(25\) | 4.56649 | + | 2.03645i | 0.913299 | + | 0.407290i | ||||
\(26\) | 1.35700 | 0.266130 | ||||||||
\(27\) | 3.12394 | − | 3.12394i | 0.601203 | − | 0.601203i | ||||
\(28\) | −0.444185 | + | 0.444185i | −0.0839431 | + | 0.0839431i | ||||
\(29\) | −1.00183 | −0.186035 | −0.0930175 | − | 0.995664i | \(-0.529651\pi\) | ||||
−0.0930175 | + | 0.995664i | \(0.529651\pi\) | |||||||
\(30\) | −0.568163 | + | 2.66902i | −0.103732 | + | 0.487294i | ||||
\(31\) | 0.423945 | 0.0761428 | 0.0380714 | − | 0.999275i | \(-0.487879\pi\) | ||||
0.0380714 | + | 0.999275i | \(0.487879\pi\) | |||||||
\(32\) | −0.594873 | − | 0.594873i | −0.105160 | − | 0.105160i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 2.82602i | − | 0.484658i | ||||||
\(35\) | −5.13124 | − | 7.90666i | −0.867338 | − | 1.33647i | ||||
\(36\) | 0.343790 | 0.0572983 | ||||||||
\(37\) | 3.48815 | − | 3.48815i | 0.573449 | − | 0.573449i | −0.359642 | − | 0.933091i | \(-0.617101\pi\) |
0.933091 | + | 0.359642i | \(0.117101\pi\) | |||||||
\(38\) | −5.63049 | − | 5.63049i | −0.913386 | − | 0.913386i | ||||
\(39\) | −0.770604 | −0.123395 | ||||||||
\(40\) | 5.08960 | − | 3.30303i | 0.804736 | − | 0.522255i | ||||
\(41\) | 0.577469i | 0.0901854i | 0.998983 | + | 0.0450927i | \(0.0143583\pi\) | ||||
−0.998983 | + | 0.0450927i | \(0.985642\pi\) | |||||||
\(42\) | 3.63753 | − | 3.63753i | 0.561283 | − | 0.561283i | ||||
\(43\) | 5.05373 | − | 5.05373i | 0.770687 | − | 0.770687i | −0.207540 | − | 0.978227i | \(-0.566546\pi\) |
0.978227 | + | 0.207540i | \(0.0665456\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.07406 | + | 5.04553i | −0.160111 | + | 0.752143i | ||||
\(46\) | − | 4.06339i | − | 0.599113i | ||||||
\(47\) | 0.841173 | − | 0.841173i | 0.122698 | − | 0.122698i | −0.643092 | − | 0.765789i | \(-0.722349\pi\) |
0.765789 | + | 0.643092i | \(0.222349\pi\) | |||||||
\(48\) | 2.51696 | + | 2.51696i | 0.363292 | + | 0.363292i | ||||
\(49\) | 10.7690i | 1.53843i | ||||||||
\(50\) | −2.62261 | − | 6.84452i | −0.370893 | − | 0.967961i | ||||
\(51\) | 1.60481i | 0.224719i | ||||||||
\(52\) | −0.0975424 | − | 0.0975424i | −0.0135267 | − | 0.0135267i | ||||
\(53\) | 6.42164 | + | 6.42164i | 0.882080 | + | 0.882080i | 0.993746 | − | 0.111666i | \(-0.0356188\pi\) |
−0.111666 | + | 0.993746i | \(0.535619\pi\) | |||||||
\(54\) | −6.47647 | −0.881337 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −11.4381 | −1.52848 | ||||||||
\(57\) | 3.19739 | + | 3.19739i | 0.423505 | + | 0.423505i | ||||
\(58\) | 1.03848 | + | 1.03848i | 0.136359 | + | 0.136359i | ||||
\(59\) | − | 9.30975i | − | 1.21203i | −0.795455 | − | 0.606013i | \(-0.792768\pi\) | ||
0.795455 | − | 0.606013i | \(-0.207232\pi\) | |||||||
\(60\) | 0.232691 | − | 0.151011i | 0.0300403 | − | 0.0194954i | ||||
\(61\) | 7.78179i | 0.996357i | 0.867075 | + | 0.498178i | \(0.165998\pi\) | ||||
−0.867075 | + | 0.498178i | \(0.834002\pi\) | |||||||
\(62\) | −0.439456 | − | 0.439456i | −0.0558109 | − | 0.0558109i | ||||
\(63\) | 6.87641 | − | 6.87641i | 0.866346 | − | 0.866346i | ||||
\(64\) | − | 7.31840i | − | 0.914800i | ||||||
\(65\) | 1.73629 | − | 1.12681i | 0.215361 | − | 0.139764i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.05526 | + | 3.05526i | −0.373259 | + | 0.373259i | −0.868663 | − | 0.495404i | \(-0.835020\pi\) |
0.495404 | + | 0.868663i | \(0.335020\pi\) | |||||||
\(68\) | −0.203136 | + | 0.203136i | −0.0246339 | + | 0.0246339i | ||||
\(69\) | 2.30748i | 0.277788i | ||||||||
\(70\) | −2.87696 | + | 13.5149i | −0.343863 | + | 1.61534i | ||||
\(71\) | 8.59135 | 1.01961 | 0.509803 | − | 0.860291i | \(-0.329718\pi\) | ||||
0.509803 | + | 0.860291i | \(0.329718\pi\) | |||||||
\(72\) | 4.42642 | + | 4.42642i | 0.521658 | + | 0.521658i | ||||
\(73\) | 3.86109 | − | 3.86109i | 0.451906 | − | 0.451906i | −0.444081 | − | 0.895987i | \(-0.646470\pi\) |
0.895987 | + | 0.444081i | \(0.146470\pi\) | |||||||
\(74\) | −7.23154 | −0.840650 | ||||||||
\(75\) | 1.48930 | + | 3.88681i | 0.171970 | + | 0.448810i | ||||
\(76\) | 0.809447i | 0.0928499i | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0.798797 | + | 0.798797i | 0.0904460 | + | 0.0904460i | ||||
\(79\) | −2.28422 | −0.256994 | −0.128497 | − | 0.991710i | \(-0.541015\pi\) | ||||
−0.128497 | + | 0.991710i | \(0.541015\pi\) | |||||||
\(80\) | −9.35152 | − | 1.99069i | −1.04553 | − | 0.222566i | ||||
\(81\) | −3.24316 | −0.360351 | ||||||||
\(82\) | 0.598596 | − | 0.598596i | 0.0661039 | − | 0.0661039i | ||||
\(83\) | −1.40622 | + | 1.40622i | −0.154352 | + | 0.154352i | −0.780059 | − | 0.625706i | \(-0.784811\pi\) |
0.625706 | + | 0.780059i | \(0.284811\pi\) | |||||||
\(84\) | −0.522937 | −0.0570571 | ||||||||
\(85\) | −2.34664 | − | 3.61590i | −0.254528 | − | 0.392199i | ||||
\(86\) | −10.4773 | −1.12979 | ||||||||
\(87\) | −0.589724 | − | 0.589724i | −0.0632250 | − | 0.0632250i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − | 13.9313i | − | 1.47671i | −0.674410 | − | 0.738357i | \(-0.735602\pi\) | ||
0.674410 | − | 0.738357i | \(-0.264398\pi\) | |||||||
\(90\) | 6.34348 | − | 4.11677i | 0.668662 | − | 0.433946i | ||||
\(91\) | −3.90204 | −0.409045 | ||||||||
\(92\) | −0.292079 | + | 0.292079i | −0.0304513 | + | 0.0304513i | ||||
\(93\) | 0.249554 | + | 0.249554i | 0.0258776 | + | 0.0258776i | ||||
\(94\) | −1.74390 | −0.179869 | ||||||||
\(95\) | −11.8796 | − | 2.52885i | −1.21882 | − | 0.259454i | ||||
\(96\) | − | 0.700340i | − | 0.0714782i | ||||||
\(97\) | −2.35066 | + | 2.35066i | −0.238673 | + | 0.238673i | −0.816301 | − | 0.577627i | \(-0.803979\pi\) |
0.577627 | + | 0.816301i | \(0.303979\pi\) | |||||||
\(98\) | 11.1630 | − | 11.1630i | 1.12763 | − | 1.12763i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.303474 | + | 0.680504i | −0.0303474 | + | 0.0680504i | ||||
\(101\) | 13.2909i | 1.32249i | 0.750168 | + | 0.661247i | \(0.229973\pi\) | ||||
−0.750168 | + | 0.661247i | \(0.770027\pi\) | |||||||
\(102\) | 1.66353 | − | 1.66353i | 0.164714 | − | 0.164714i | ||||
\(103\) | 7.12932 | + | 7.12932i | 0.702472 | + | 0.702472i | 0.964941 | − | 0.262468i | \(-0.0845365\pi\) |
−0.262468 | + | 0.964941i | \(0.584536\pi\) | |||||||
\(104\) | − | 2.51179i | − | 0.246301i | ||||||
\(105\) | 1.63374 | − | 7.67473i | 0.159437 | − | 0.748977i | ||||
\(106\) | − | 13.3132i | − | 1.29309i | ||||||
\(107\) | −4.36050 | − | 4.36050i | −0.421546 | − | 0.421546i | 0.464190 | − | 0.885736i | \(-0.346346\pi\) |
−0.885736 | + | 0.464190i | \(0.846346\pi\) | |||||||
\(108\) | 0.465533 | + | 0.465533i | 0.0447960 | + | 0.0447960i | ||||
\(109\) | −19.9193 | −1.90793 | −0.953964 | − | 0.299922i | \(-0.903039\pi\) | ||||
−0.953964 | + | 0.299922i | \(0.903039\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 4.10659 | 0.389780 | ||||||||
\(112\) | 12.7449 | + | 12.7449i | 1.20428 | + | 1.20428i | ||||
\(113\) | 8.57166 | + | 8.57166i | 0.806354 | + | 0.806354i | 0.984080 | − | 0.177726i | \(-0.0568741\pi\) |
−0.177726 | + | 0.984080i | \(0.556874\pi\) | |||||||
\(114\) | − | 6.62874i | − | 0.620839i | ||||||
\(115\) | −3.37411 | − | 5.19912i | −0.314637 | − | 0.484820i | ||||
\(116\) | − | 0.149294i | − | 0.0138616i | ||||||
\(117\) | 1.51005 | + | 1.51005i | 0.139604 | + | 0.139604i | ||||
\(118\) | −9.65036 | + | 9.65036i | −0.888388 | + | 0.888388i | ||||
\(119\) | 8.12617i | 0.744925i | ||||||||
\(120\) | 4.94030 | + | 1.05166i | 0.450986 | + | 0.0960028i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 8.06650 | − | 8.06650i | 0.730306 | − | 0.730306i | ||||
\(123\) | −0.339925 | + | 0.339925i | −0.0306500 | + | 0.0306500i | ||||
\(124\) | 0.0631767i | 0.00567344i | ||||||||
\(125\) | −9.03911 | − | 6.57985i | −0.808483 | − | 0.588520i | ||||
\(126\) | −14.2560 | −1.27002 | ||||||||
\(127\) | −0.819912 | − | 0.819912i | −0.0727554 | − | 0.0727554i | 0.669793 | − | 0.742548i | \(-0.266383\pi\) |
−0.742548 | + | 0.669793i | \(0.766383\pi\) | |||||||
\(128\) | −8.77589 | + | 8.77589i | −0.775687 | + | 0.775687i | ||||
\(129\) | 5.94973 | 0.523845 | ||||||||
\(130\) | −2.96786 | − | 0.631777i | −0.260298 | − | 0.0554105i | ||||
\(131\) | 14.4532i | 1.26278i | 0.775465 | + | 0.631390i | \(0.217515\pi\) | ||||
−0.775465 | + | 0.631390i | \(0.782485\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 16.1904 | + | 16.1904i | 1.40388 | + | 1.40388i | ||||
\(134\) | 6.33408 | 0.547181 | ||||||||
\(135\) | −8.28667 | + | 5.37786i | −0.713203 | + | 0.462852i | ||||
\(136\) | −5.23090 | −0.448546 | ||||||||
\(137\) | −8.74810 | + | 8.74810i | −0.747401 | + | 0.747401i | −0.973990 | − | 0.226590i | \(-0.927242\pi\) |
0.226590 | + | 0.973990i | \(0.427242\pi\) | |||||||
\(138\) | 2.39190 | − | 2.39190i | 0.203612 | − | 0.203612i | ||||
\(139\) | 1.00938 | 0.0856145 | 0.0428073 | − | 0.999083i | \(-0.486370\pi\) | ||||
0.0428073 | + | 0.999083i | \(0.486370\pi\) | |||||||
\(140\) | 1.17826 | − | 0.764663i | 0.0995810 | − | 0.0646258i | ||||
\(141\) | 0.990308 | 0.0833990 | ||||||||
\(142\) | −8.90567 | − | 8.90567i | −0.747347 | − | 0.747347i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | − | 9.86430i | − | 0.822025i | ||||||
\(145\) | 2.19106 | + | 0.466419i | 0.181958 | + | 0.0387340i | ||||
\(146\) | −8.00470 | −0.662474 | ||||||||
\(147\) | −6.33913 | + | 6.33913i | −0.522843 | + | 0.522843i | ||||
\(148\) | 0.519808 | + | 0.519808i | 0.0427280 | + | 0.0427280i | ||||
\(149\) | 1.22057 | 0.0999930 | 0.0499965 | − | 0.998749i | \(-0.484079\pi\) | ||||
0.0499965 | + | 0.998749i | \(0.484079\pi\) | |||||||
\(150\) | 2.48522 | − | 5.57280i | 0.202917 | − | 0.455017i | ||||
\(151\) | 1.58675i | 0.129128i | 0.997914 | + | 0.0645639i | \(0.0205656\pi\) | ||||
−0.997914 | + | 0.0645639i | \(0.979434\pi\) | |||||||
\(152\) | −10.4219 | + | 10.4219i | −0.845329 | + | 0.845329i | ||||
\(153\) | 3.14474 | − | 3.14474i | 0.254237 | − | 0.254237i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.927195 | − | 0.197375i | −0.0744741 | − | 0.0158535i | ||||
\(156\) | − | 0.114836i | − | 0.00919425i | ||||||
\(157\) | −5.24615 | + | 5.24615i | −0.418688 | + | 0.418688i | −0.884751 | − | 0.466063i | \(-0.845672\pi\) |
0.466063 | + | 0.884751i | \(0.345672\pi\) | |||||||
\(158\) | 2.36779 | + | 2.36779i | 0.188371 | + | 0.188371i | ||||
\(159\) | 7.56016i | 0.599560i | ||||||||
\(160\) | 1.02407 | + | 1.57798i | 0.0809599 | + | 0.124750i | ||||
\(161\) | 11.6842i | 0.920844i | ||||||||
\(162\) | 3.36182 | + | 3.36182i | 0.264129 | + | 0.264129i | ||||
\(163\) | −10.8957 | − | 10.8957i | −0.853416 | − | 0.853416i | 0.137136 | − | 0.990552i | \(-0.456210\pi\) |
−0.990552 | + | 0.137136i | \(0.956210\pi\) | |||||||
\(164\) | −0.0860550 | −0.00671976 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.91533 | 0.226273 | ||||||||
\(167\) | 2.93461 | + | 2.93461i | 0.227087 | + | 0.227087i | 0.811475 | − | 0.584388i | \(-0.198665\pi\) |
−0.584388 | + | 0.811475i | \(0.698665\pi\) | |||||||
\(168\) | −6.73299 | − | 6.73299i | −0.519462 | − | 0.519462i | ||||
\(169\) | 12.1431i | 0.934086i | ||||||||
\(170\) | −1.31570 | + | 6.18068i | −0.100910 | + | 0.474037i | ||||
\(171\) | − | 12.5310i | − | 0.958270i | ||||||
\(172\) | 0.753112 | + | 0.753112i | 0.0574243 | + | 0.0574243i | ||||
\(173\) | 3.06159 | − | 3.06159i | 0.232768 | − | 0.232768i | −0.581079 | − | 0.813847i | \(-0.697369\pi\) |
0.813847 | + | 0.581079i | \(0.197369\pi\) | |||||||
\(174\) | 1.22260i | 0.0926850i | ||||||||
\(175\) | 7.54127 | + | 19.6813i | 0.570066 | + | 1.48777i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 5.48016 | − | 5.48016i | 0.411914 | − | 0.411914i | ||||
\(178\) | −14.4410 | + | 14.4410i | −1.08240 | + | 1.08240i | ||||
\(179\) | − | 3.71960i | − | 0.278016i | −0.990291 | − | 0.139008i | \(-0.955609\pi\) | ||
0.990291 | − | 0.139008i | \(-0.0443913\pi\) | |||||||
\(180\) | −0.751890 | − | 0.160057i | −0.0560426 | − | 0.0119300i | ||||
\(181\) | 6.04656 | 0.449437 | 0.224719 | − | 0.974424i | \(-0.427854\pi\) | ||||
0.224719 | + | 0.974424i | \(0.427854\pi\) | |||||||
\(182\) | 4.04481 | + | 4.04481i | 0.299821 | + | 0.299821i | ||||
\(183\) | −4.58073 | + | 4.58073i | −0.338617 | + | 0.338617i | ||||
\(184\) | −7.52124 | −0.554473 | ||||||||
\(185\) | −9.25279 | + | 6.00485i | −0.680278 | + | 0.441485i | ||||
\(186\) | − | 0.517369i | − | 0.0379353i | ||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 0.125352 | + | 0.125352i | 0.00914227 | + | 0.00914227i | ||||
\(189\) | 18.6230 | 1.35462 | ||||||||
\(190\) | 9.69286 | + | 14.9356i | 0.703194 | + | 1.08354i | ||||
\(191\) | −16.5546 | −1.19785 | −0.598926 | − | 0.800805i | \(-0.704405\pi\) | ||||
−0.598926 | + | 0.800805i | \(0.704405\pi\) | |||||||
\(192\) | 4.30795 | − | 4.30795i | 0.310900 | − | 0.310900i | ||||
\(193\) | −11.9954 | + | 11.9954i | −0.863451 | + | 0.863451i | −0.991737 | − | 0.128286i | \(-0.959052\pi\) |
0.128286 | + | 0.991737i | \(0.459052\pi\) | |||||||
\(194\) | 4.87332 | 0.349884 | ||||||||
\(195\) | 1.68536 | + | 0.358768i | 0.120691 | + | 0.0256919i | ||||
\(196\) | −1.60480 | −0.114629 | ||||||||
\(197\) | −9.63624 | − | 9.63624i | −0.686554 | − | 0.686554i | 0.274915 | − | 0.961469i | \(-0.411350\pi\) |
−0.961469 | + | 0.274915i | \(0.911350\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 19.4166i | 1.37640i | 0.725519 | + | 0.688202i | \(0.241600\pi\) | ||||
−0.725519 | + | 0.688202i | \(0.758400\pi\) | |||||||
\(200\) | −12.6691 | + | 4.85439i | −0.895838 | + | 0.343257i | ||||
\(201\) | −3.59694 | −0.253709 | ||||||||
\(202\) | 13.7772 | − | 13.7772i | 0.969358 | − | 0.969358i | ||||
\(203\) | −2.98614 | − | 2.98614i | −0.209586 | − | 0.209586i | ||||
\(204\) | −0.239151 | −0.0167439 | ||||||||
\(205\) | 0.268850 | − | 1.26296i | 0.0187773 | − | 0.0882090i | ||||
\(206\) | − | 14.7803i | − | 1.02979i | ||||||
\(207\) | 4.52166 | − | 4.52166i | 0.314277 | − | 0.314277i | ||||
\(208\) | −2.79877 | + | 2.79877i | −0.194060 | + | 0.194060i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −9.64903 | + | 6.26200i | −0.665846 | + | 0.432119i | ||||
\(211\) | − | 6.39095i | − | 0.439971i | −0.975503 | − | 0.219986i | \(-0.929399\pi\) | ||
0.975503 | − | 0.219986i | \(-0.0706010\pi\) | |||||||
\(212\) | −0.956959 | + | 0.956959i | −0.0657242 | + | 0.0657242i | ||||
\(213\) | 5.05727 | + | 5.05727i | 0.346519 | + | 0.346519i | ||||
\(214\) | 9.04007i | 0.617967i | ||||||||
\(215\) | −13.4057 | + | 8.69998i | −0.914260 | + | 0.593334i | ||||
\(216\) | 11.9878i | 0.815668i | ||||||||
\(217\) | 1.26365 | + | 1.26365i | 0.0857820 | + | 0.0857820i | ||||
\(218\) | 20.6481 | + | 20.6481i | 1.39847 | + | 1.39847i | ||||
\(219\) | 4.54564 | 0.307166 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −1.78450 | −0.120038 | ||||||||
\(222\) | −4.25683 | − | 4.25683i | −0.285700 | − | 0.285700i | ||||
\(223\) | 10.0373 | + | 10.0373i | 0.672150 | + | 0.672150i | 0.958211 | − | 0.286062i | \(-0.0923462\pi\) |
−0.286062 | + | 0.958211i | \(0.592346\pi\) | |||||||
\(224\) | − | 3.54626i | − | 0.236944i | ||||||
\(225\) | 4.69807 | − | 10.5349i | 0.313204 | − | 0.702323i | ||||
\(226\) | − | 17.7705i | − | 1.18208i | ||||||
\(227\) | −5.85353 | − | 5.85353i | −0.388512 | − | 0.388512i | 0.485644 | − | 0.874156i | \(-0.338585\pi\) |
−0.874156 | + | 0.485644i | \(0.838585\pi\) | |||||||
\(228\) | −0.476479 | + | 0.476479i | −0.0315556 | + | 0.0315556i | ||||
\(229\) | − | 19.5994i | − | 1.29517i | −0.761995 | − | 0.647583i | \(-0.775780\pi\) | ||
0.761995 | − | 0.647583i | \(-0.224220\pi\) | |||||||
\(230\) | −1.89178 | + | 8.88688i | −0.124740 | + | 0.585984i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.92221 | − | 1.92221i | 0.126199 | − | 0.126199i | ||||
\(233\) | 2.62559 | − | 2.62559i | 0.172008 | − | 0.172008i | −0.615853 | − | 0.787861i | \(-0.711188\pi\) |
0.787861 | + | 0.615853i | \(0.211188\pi\) | |||||||
\(234\) | − | 3.13059i | − | 0.204653i | ||||||
\(235\) | −2.23132 | + | 1.44808i | −0.145555 | + | 0.0944621i | ||||
\(236\) | 1.38735 | 0.0903087 | ||||||||
\(237\) | −1.34460 | − | 1.34460i | −0.0873410 | − | 0.0873410i | ||||
\(238\) | 8.42347 | − | 8.42347i | 0.546013 | − | 0.546013i | ||||
\(239\) | 3.21291 | 0.207826 | 0.103913 | − | 0.994586i | \(-0.466864\pi\) | ||||
0.103913 | + | 0.994586i | \(0.466864\pi\) | |||||||
\(240\) | −4.33294 | − | 6.67656i | −0.279690 | − | 0.430970i | ||||
\(241\) | − | 25.4119i | − | 1.63693i | −0.574559 | − | 0.818463i | \(-0.694826\pi\) | ||
0.574559 | − | 0.818463i | \(-0.305174\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −11.2809 | − | 11.2809i | −0.723671 | − | 0.723671i | ||||
\(244\) | −1.15965 | −0.0742390 | ||||||||
\(245\) | 5.01368 | − | 23.5524i | 0.320313 | − | 1.50471i | ||||
\(246\) | 0.704724 | 0.0449315 | ||||||||
\(247\) | −3.55538 | + | 3.55538i | −0.226224 | + | 0.226224i | ||||
\(248\) | −0.813423 | + | 0.813423i | −0.0516524 | + | 0.0516524i | ||||
\(249\) | −1.65553 | −0.104915 | ||||||||
\(250\) | 2.54923 | + | 16.1904i | 0.161227 | + | 1.02397i | ||||
\(251\) | 16.3055 | 1.02919 | 0.514596 | − | 0.857433i | \(-0.327942\pi\) | ||||
0.514596 | + | 0.857433i | \(0.327942\pi\) | |||||||
\(252\) | 1.02473 | + | 1.02473i | 0.0645519 | + | 0.0645519i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 1.69982i | 0.106656i | ||||||||
\(255\) | 0.747149 | − | 3.50983i | 0.0467883 | − | 0.219794i | ||||
\(256\) | 3.55714 | 0.222321 | ||||||||
\(257\) | 11.4580 | − | 11.4580i | 0.714729 | − | 0.714729i | −0.252792 | − | 0.967521i | \(-0.581349\pi\) |
0.967521 | + | 0.252792i | \(0.0813487\pi\) | |||||||
\(258\) | −6.16741 | − | 6.16741i | −0.383966 | − | 0.383966i | ||||
\(259\) | 20.7942 | 1.29209 | ||||||||
\(260\) | 0.167919 | + | 0.258744i | 0.0104139 | + | 0.0160466i | ||||
\(261\) | 2.31121i | 0.143060i | ||||||||
\(262\) | 14.9820 | − | 14.9820i | 0.925589 | − | 0.925589i | ||||
\(263\) | −0.677874 | + | 0.677874i | −0.0417995 | + | 0.0417995i | −0.727698 | − | 0.685898i | \(-0.759410\pi\) |
0.685898 | + | 0.727698i | \(0.259410\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −11.0548 | − | 17.0342i | −0.679092 | − | 1.04640i | ||||
\(266\) | − | 33.5654i | − | 2.05803i | ||||||
\(267\) | 8.20062 | − | 8.20062i | 0.501870 | − | 0.501870i | ||||
\(268\) | −0.455298 | − | 0.455298i | −0.0278117 | − | 0.0278117i | ||||
\(269\) | − | 28.4238i | − | 1.73303i | −0.499149 | − | 0.866516i | \(-0.666354\pi\) | ||
0.499149 | − | 0.866516i | \(-0.333646\pi\) | |||||||
\(270\) | 14.1645 | + | 3.01523i | 0.862022 | + | 0.183501i | ||||
\(271\) | − | 30.7500i | − | 1.86793i | −0.357369 | − | 0.933963i | \(-0.616326\pi\) | ||
0.357369 | − | 0.933963i | \(-0.383674\pi\) | |||||||
\(272\) | 5.82855 | + | 5.82855i | 0.353408 | + | 0.353408i | ||||
\(273\) | −2.29693 | − | 2.29693i | −0.139016 | − | 0.139016i | ||||
\(274\) | 18.1363 | 1.09565 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −0.343863 | −0.0206981 | ||||||||
\(277\) | −21.3182 | − | 21.3182i | −1.28089 | − | 1.28089i | −0.940165 | − | 0.340720i | \(-0.889329\pi\) |
−0.340720 | − | 0.940165i | \(-0.610671\pi\) | |||||||
\(278\) | −1.04631 | − | 1.04631i | −0.0627535 | − | 0.0627535i | ||||
\(279\) | − | 0.978036i | − | 0.0585535i | ||||||
\(280\) | 25.0158 | + | 5.32519i | 1.49498 | + | 0.318241i | ||||
\(281\) | 8.51905i | 0.508204i | 0.967177 | + | 0.254102i | \(0.0817799\pi\) | ||||
−0.967177 | + | 0.254102i | \(0.918220\pi\) | |||||||
\(282\) | −1.02654 | − | 1.02654i | −0.0611295 | − | 0.0611295i | ||||
\(283\) | −6.74707 | + | 6.74707i | −0.401071 | + | 0.401071i | −0.878611 | − | 0.477539i | \(-0.841529\pi\) |
0.477539 | + | 0.878611i | \(0.341529\pi\) | |||||||
\(284\) | 1.28029i | 0.0759713i | ||||||||
\(285\) | −5.50430 | − | 8.48150i | −0.326046 | − | 0.502401i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −1.72125 | + | 1.72125i | −0.101602 | + | 0.101602i | ||||
\(288\) | −1.37236 | + | 1.37236i | −0.0808674 | + | 0.0808674i | ||||
\(289\) | − | 13.2837i | − | 0.781395i | ||||||
\(290\) | −1.78774 | − | 2.75471i | −0.104980 | − | 0.161762i | ||||
\(291\) | −2.76742 | −0.162229 | ||||||||
\(292\) | 0.575383 | + | 0.575383i | 0.0336718 | + | 0.0336718i | ||||
\(293\) | 1.63161 | − | 1.63161i | 0.0953199 | − | 0.0953199i | −0.657839 | − | 0.753159i | \(-0.728529\pi\) |
0.753159 | + | 0.657839i | \(0.228529\pi\) | |||||||
\(294\) | 13.1421 | 0.766464 | ||||||||
\(295\) | −4.33431 | + | 20.3610i | −0.252354 | + | 1.18546i | ||||
\(296\) | 13.3854i | 0.778013i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.26523 | − | 1.26523i | −0.0732926 | − | 0.0732926i | ||||
\(299\) | −2.56583 | −0.148386 | ||||||||
\(300\) | −0.579216 | + | 0.221938i | −0.0334410 | + | 0.0128136i | ||||
\(301\) | 30.1272 | 1.73650 | ||||||||
\(302\) | 1.64480 | − | 1.64480i | 0.0946478 | − | 0.0946478i | ||||
\(303\) | −7.82366 | + | 7.82366i | −0.449457 | + | 0.449457i | ||||
\(304\) | 23.2253 | 1.33206 | ||||||||
\(305\) | 3.62295 | − | 17.0193i | 0.207449 | − | 0.974521i | ||||
\(306\) | −6.51959 | −0.372700 | ||||||||
\(307\) | 12.4635 | + | 12.4635i | 0.711327 | + | 0.711327i | 0.966813 | − | 0.255486i | \(-0.0822353\pi\) |
−0.255486 | + | 0.966813i | \(0.582235\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 8.39331i | 0.477479i | ||||||||
\(310\) | 0.756521 | + | 1.16571i | 0.0429675 | + | 0.0662081i | ||||
\(311\) | 15.1136 | 0.857011 | 0.428506 | − | 0.903539i | \(-0.359040\pi\) | ||||
0.428506 | + | 0.903539i | \(0.359040\pi\) | |||||||
\(312\) | 1.47856 | − | 1.47856i | 0.0837068 | − | 0.0837068i | ||||
\(313\) | 18.4669 | + | 18.4669i | 1.04381 | + | 1.04381i | 0.998995 | + | 0.0448178i | \(0.0142707\pi\) |
0.0448178 | + | 0.998995i | \(0.485729\pi\) | |||||||
\(314\) | 10.8762 | 0.613777 | ||||||||
\(315\) | −18.2406 | + | 11.8377i | −1.02774 | + | 0.666980i | ||||
\(316\) | − | 0.340396i | − | 0.0191488i | ||||||
\(317\) | 20.0304 | − | 20.0304i | 1.12502 | − | 1.12502i | 0.134045 | − | 0.990975i | \(-0.457203\pi\) |
0.990975 | − | 0.134045i | \(-0.0427965\pi\) | |||||||
\(318\) | 7.83675 | − | 7.83675i | 0.439463 | − | 0.439463i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −3.40720 | + | 16.0058i | −0.190469 | + | 0.894751i | ||||
\(321\) | − | 5.13360i | − | 0.286529i | ||||||
\(322\) | 12.1117 | − | 12.1117i | 0.674957 | − | 0.674957i | ||||
\(323\) | 7.40423 | + | 7.40423i | 0.411983 | + | 0.411983i | ||||
\(324\) | − | 0.483299i | − | 0.0268500i | ||||||
\(325\) | −4.32199 | + | 1.65605i | −0.239741 | + | 0.0918613i | ||||
\(326\) | 22.5886i | 1.25107i | ||||||||
\(327\) | −11.7255 | − | 11.7255i | −0.648420 | − | 0.648420i | ||||
\(328\) | −1.10799 | − | 1.10799i | −0.0611784 | − | 0.0611784i | ||||
\(329\) | 5.01454 | 0.276461 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −24.6455 | −1.35464 | −0.677319 | − | 0.735690i | \(-0.736858\pi\) | ||||
−0.677319 | + | 0.735690i | \(0.736858\pi\) | |||||||
\(332\) | −0.209556 | − | 0.209556i | −0.0115009 | − | 0.0115009i | ||||
\(333\) | −8.04713 | − | 8.04713i | −0.440980 | − | 0.440980i | ||||
\(334\) | − | 6.08395i | − | 0.332899i | ||||||
\(335\) | 8.10448 | − | 5.25962i | 0.442795 | − | 0.287364i | ||||
\(336\) | 15.0045i | 0.818564i | ||||||||
\(337\) | 21.9315 | + | 21.9315i | 1.19469 | + | 1.19469i | 0.975736 | + | 0.218949i | \(0.0702628\pi\) |
0.218949 | + | 0.975736i | \(0.429737\pi\) | |||||||
\(338\) | 12.5874 | − | 12.5874i | 0.684663 | − | 0.684663i | ||||
\(339\) | 10.0914i | 0.548088i | ||||||||
\(340\) | 0.538845 | − | 0.349698i | 0.0292230 | − | 0.0189650i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −12.9895 | + | 12.9895i | −0.702390 | + | 0.702390i | ||||
\(343\) | −11.2342 | + | 11.2342i | −0.606587 | + | 0.606587i | ||||
\(344\) | 19.3932i | 1.04561i | ||||||||
\(345\) | 1.07429 | − | 5.04660i | 0.0578376 | − | 0.271700i | ||||
\(346\) | −6.34720 | −0.341227 | ||||||||
\(347\) | −21.3446 | − | 21.3446i | −1.14584 | − | 1.14584i | −0.987363 | − | 0.158473i | \(-0.949343\pi\) |
−0.158473 | − | 0.987363i | \(-0.550657\pi\) | |||||||
\(348\) | 0.0878813 | − | 0.0878813i | 0.00471093 | − | 0.00471093i | ||||
\(349\) | −21.3672 | −1.14376 | −0.571881 | − | 0.820336i | \(-0.693786\pi\) | ||||
−0.571881 | + | 0.820336i | \(0.693786\pi\) | |||||||
\(350\) | 12.5842 | − | 28.2185i | 0.672653 | − | 1.50834i | ||||
\(351\) | 4.08959i | 0.218286i | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −2.82626 | − | 2.82626i | −0.150427 | − | 0.150427i | 0.627882 | − | 0.778309i | \(-0.283922\pi\) |
−0.778309 | + | 0.627882i | \(0.783922\pi\) | |||||||
\(354\) | −11.3613 | −0.603847 | ||||||||
\(355\) | −18.7898 | − | 3.99985i | −0.997260 | − | 0.212290i | ||||
\(356\) | 2.07606 | 0.110031 | ||||||||
\(357\) | −4.78345 | + | 4.78345i | −0.253167 | + | 0.253167i | ||||
\(358\) | −3.85568 | + | 3.85568i | −0.203779 | + | 0.203779i | ||||
\(359\) | 10.7403 | 0.566851 | 0.283425 | − | 0.958994i | \(-0.408529\pi\) | ||||
0.283425 | + | 0.958994i | \(0.408529\pi\) | |||||||
\(360\) | −7.62006 | − | 11.7416i | −0.401612 | − | 0.618839i | ||||
\(361\) | 10.5040 | 0.552843 | ||||||||
\(362\) | −6.26778 | − | 6.26778i | −0.329427 | − | 0.329427i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | − | 0.581487i | − | 0.0304782i | ||||||
\(365\) | −10.2420 | + | 6.64685i | −0.536093 | + | 0.347912i | ||||
\(366\) | 9.49665 | 0.496398 | ||||||||
\(367\) | −24.4690 | + | 24.4690i | −1.27727 | + | 1.27727i | −0.335079 | + | 0.942190i | \(0.608763\pi\) |
−0.942190 | + | 0.335079i | \(0.891237\pi\) | |||||||
\(368\) | 8.38057 | + | 8.38057i | 0.436867 | + | 0.436867i | ||||
\(369\) | 1.33221 | 0.0693523 | ||||||||
\(370\) | 15.8158 | + | 3.36677i | 0.822227 | + | 0.175030i | ||||
\(371\) | 38.2818i | 1.98749i | ||||||||
\(372\) | −0.0371888 | + | 0.0371888i | −0.00192815 | + | 0.00192815i | ||||
\(373\) | −9.90454 | + | 9.90454i | −0.512838 | + | 0.512838i | −0.915395 | − | 0.402557i | \(-0.868121\pi\) |
0.402557 | + | 0.915395i | \(0.368121\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −1.44763 | − | 9.19406i | −0.0747555 | − | 0.474779i | ||||
\(376\) | 3.22791i | 0.166467i | ||||||||
\(377\) | 0.655752 | − | 0.655752i | 0.0337729 | − | 0.0337729i | ||||
\(378\) | −19.3043 | − | 19.3043i | −0.992908 | − | 0.992908i | ||||
\(379\) | − | 26.5008i | − | 1.36125i | −0.732630 | − | 0.680627i | \(-0.761708\pi\) | ||
0.732630 | − | 0.680627i | \(-0.238292\pi\) | |||||||
\(380\) | 0.376852 | − | 1.77031i | 0.0193321 | − | 0.0908150i | ||||
\(381\) | − | 0.965278i | − | 0.0494527i | ||||||
\(382\) | 17.1603 | + | 17.1603i | 0.877997 | + | 0.877997i | ||||
\(383\) | −16.9972 | − | 16.9972i | −0.868516 | − | 0.868516i | 0.123792 | − | 0.992308i | \(-0.460495\pi\) |
−0.992308 | + | 0.123792i | \(0.960495\pi\) | |||||||
\(384\) | −10.3318 | −0.527243 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 24.8686 | 1.26578 | ||||||||
\(387\) | −11.6589 | − | 11.6589i | −0.592655 | − | 0.592655i | ||||
\(388\) | −0.350298 | − | 0.350298i | −0.0177837 | − | 0.0177837i | ||||
\(389\) | − | 7.54543i | − | 0.382569i | −0.981535 | − | 0.191284i | \(-0.938735\pi\) | ||
0.981535 | − | 0.191284i | \(-0.0612652\pi\) | |||||||
\(390\) | −1.37513 | − | 2.11891i | −0.0696322 | − | 0.107295i | ||||
\(391\) | 5.34346i | 0.270230i | ||||||||
\(392\) | −20.6624 | − | 20.6624i | −1.04361 | − | 1.04361i | ||||
\(393\) | −8.50783 | + | 8.50783i | −0.429163 | + | 0.429163i | ||||
\(394\) | 19.9776i | 1.00646i | ||||||||
\(395\) | 4.99573 | + | 1.06346i | 0.251362 | + | 0.0535083i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 16.0995 | − | 16.0995i | 0.808008 | − | 0.808008i | −0.176324 | − | 0.984332i | \(-0.556421\pi\) |
0.984332 | + | 0.176324i | \(0.0564206\pi\) | |||||||
\(398\) | 20.1269 | − | 20.1269i | 1.00887 | − | 1.00887i | ||||
\(399\) | 19.0608i | 0.954236i | ||||||||
\(400\) | 19.5256 | + | 8.70752i | 0.976279 | + | 0.435376i | ||||
\(401\) | −24.1420 | −1.20560 | −0.602798 | − | 0.797894i | \(-0.705947\pi\) | ||||
−0.602798 | + | 0.797894i | \(0.705947\pi\) | |||||||
\(402\) | 3.72854 | + | 3.72854i | 0.185963 | + | 0.185963i | ||||
\(403\) | −0.277495 | + | 0.277495i | −0.0138230 | + | 0.0138230i | ||||
\(404\) | −1.98062 | −0.0985397 | ||||||||
\(405\) | 7.09300 | + | 1.50991i | 0.352454 | + | 0.0750280i | ||||
\(406\) | 6.19078i | 0.307243i | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −3.07915 | − | 3.07915i | −0.152441 | − | 0.152441i | ||||
\(409\) | 5.85586 | 0.289553 | 0.144777 | − | 0.989464i | \(-0.453754\pi\) | ||||
0.144777 | + | 0.989464i | \(0.453754\pi\) | |||||||
\(410\) | −1.58785 | + | 1.03048i | −0.0784185 | + | 0.0508918i | ||||
\(411\) | −10.2991 | −0.508017 | ||||||||
\(412\) | −1.06242 | + | 1.06242i | −0.0523416 | + | 0.0523416i | ||||
\(413\) | 27.7495 | − | 27.7495i | 1.36546 | − | 1.36546i | ||||
\(414\) | −9.37418 | −0.460716 | ||||||||
\(415\) | 3.73017 | − | 2.42079i | 0.183107 | − | 0.118832i | ||||
\(416\) | 0.778754 | 0.0381815 | ||||||||
\(417\) | 0.594169 | + | 0.594169i | 0.0290966 | + | 0.0290966i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 11.0599i | 0.540311i | 0.962817 | + | 0.270155i | \(0.0870751\pi\) | ||||
−0.962817 | + | 0.270155i | \(0.912925\pi\) | |||||||
\(420\) | 1.14370 | + | 0.243462i | 0.0558066 | + | 0.0118797i | ||||
\(421\) | 7.87306 | 0.383710 | 0.191855 | − | 0.981423i | \(-0.438550\pi\) | ||||
0.191855 | + | 0.981423i | \(0.438550\pi\) | |||||||
\(422\) | −6.62477 | + | 6.62477i | −0.322489 | + | 0.322489i | ||||
\(423\) | −1.94058 | − | 1.94058i | −0.0943540 | − | 0.0943540i | ||||
\(424\) | −24.6424 | −1.19674 | ||||||||
\(425\) | 3.44880 | + | 9.00072i | 0.167291 | + | 0.436599i | ||||
\(426\) | − | 10.4846i | − | 0.507980i | ||||||
\(427\) | −23.1951 | + | 23.1951i | −1.12249 | + | 1.12249i | ||||
\(428\) | 0.649807 | − | 0.649807i | 0.0314096 | − | 0.0314096i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 22.9144 | + | 4.87787i | 1.10503 | + | 0.235232i | ||||
\(431\) | 7.30295i | 0.351771i | 0.984411 | + | 0.175885i | \(0.0562788\pi\) | ||||
−0.984411 | + | 0.175885i | \(0.943721\pi\) | |||||||
\(432\) | 13.3575 | − | 13.3575i | 0.642662 | − | 0.642662i | ||||
\(433\) | −3.56913 | − | 3.56913i | −0.171521 | − | 0.171521i | 0.616126 | − | 0.787647i | \(-0.288701\pi\) |
−0.787647 | + | 0.616126i | \(0.788701\pi\) | |||||||
\(434\) | − | 2.61976i | − | 0.125752i | ||||||
\(435\) | 1.01521 | + | 1.56432i | 0.0486755 | + | 0.0750034i | ||||
\(436\) | − | 2.96840i | − | 0.142161i | ||||||
\(437\) | 10.6462 | + | 10.6462i | 0.509275 | + | 0.509275i | ||||
\(438\) | −4.71194 | − | 4.71194i | −0.225145 | − | 0.225145i | ||||
\(439\) | 1.29778 | 0.0619394 | 0.0309697 | − | 0.999520i | \(-0.490140\pi\) | ||||
0.0309697 | + | 0.999520i | \(0.490140\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 24.8439 | 1.18304 | ||||||||
\(442\) | 1.84978 | + | 1.84978i | 0.0879852 | + | 0.0879852i | ||||
\(443\) | −10.8900 | − | 10.8900i | −0.517401 | − | 0.517401i | 0.399383 | − | 0.916784i | \(-0.369224\pi\) |
−0.916784 | + | 0.399383i | \(0.869224\pi\) | |||||||
\(444\) | 0.611968i | 0.0290427i | ||||||||
\(445\) | −6.48595 | + | 30.4686i | −0.307464 | + | 1.44435i | ||||
\(446\) | − | 20.8091i | − | 0.985341i | ||||||
\(447\) | 0.718486 | + | 0.718486i | 0.0339832 | + | 0.0339832i | ||||
\(448\) | 21.8138 | − | 21.8138i | 1.03061 | − | 1.03061i | ||||
\(449\) | − | 12.1228i | − | 0.572110i | −0.958213 | − | 0.286055i | \(-0.907656\pi\) | ||
0.958213 | − | 0.286055i | \(-0.0923440\pi\) | |||||||
\(450\) | −15.7902 | + | 6.05033i | −0.744359 | + | 0.285215i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −1.27736 | + | 1.27736i | −0.0600818 | + | 0.0600818i | ||||
\(453\) | −0.934036 | + | 0.934036i | −0.0438848 | + | 0.0438848i | ||||
\(454\) | 12.1354i | 0.569541i | ||||||||
\(455\) | 8.53402 | + | 1.81666i | 0.400081 | + | 0.0851665i | ||||
\(456\) | −12.2697 | −0.574580 | ||||||||
\(457\) | 2.48245 | + | 2.48245i | 0.116124 | + | 0.116124i | 0.762781 | − | 0.646657i | \(-0.223833\pi\) |
−0.646657 | + | 0.762781i | \(0.723833\pi\) | |||||||
\(458\) | −20.3165 | + | 20.3165i | −0.949326 | + | 0.949326i | ||||
\(459\) | 8.51673 | 0.397527 | ||||||||
\(460\) | 0.774778 | − | 0.502813i | 0.0361242 | − | 0.0234438i | ||||
\(461\) | − | 5.45336i | − | 0.253988i | −0.991903 | − | 0.126994i | \(-0.959467\pi\) | ||
0.991903 | − | 0.126994i | \(-0.0405329\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 15.3996 | + | 15.3996i | 0.715681 | + | 0.715681i | 0.967718 | − | 0.252037i | \(-0.0811005\pi\) |
−0.252037 | + | 0.967718i | \(0.581100\pi\) | |||||||
\(464\) | −4.28365 | −0.198864 | ||||||||
\(465\) | −0.429607 | − | 0.661975i | −0.0199225 | − | 0.0306984i | ||||
\(466\) | −5.44330 | −0.252156 | ||||||||
\(467\) | −10.3830 | + | 10.3830i | −0.480470 | + | 0.480470i | −0.905282 | − | 0.424812i | \(-0.860340\pi\) |
0.424812 | + | 0.905282i | \(0.360340\pi\) | |||||||
\(468\) | −0.225029 | + | 0.225029i | −0.0104020 | + | 0.0104020i | ||||
\(469\) | −18.2135 | −0.841023 | ||||||||
\(470\) | 3.81401 | + | 0.811900i | 0.175927 | + | 0.0374502i | ||||
\(471\) | −6.17626 | −0.284587 | ||||||||
\(472\) | 17.8626 | + | 17.8626i | 0.822193 | + | 0.822193i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 2.78758i | 0.128038i | ||||||||
\(475\) | 24.8041 | + | 11.0615i | 1.13809 | + | 0.507537i | ||||
\(476\) | −1.21097 | −0.0555047 | ||||||||
\(477\) | 14.8146 | − | 14.8146i | 0.678316 | − | 0.678316i | ||||
\(478\) | −3.33046 | − | 3.33046i | −0.152332 | − | 0.152332i | ||||
\(479\) | 4.91370 | 0.224513 | 0.112256 | − | 0.993679i | \(-0.464192\pi\) | ||||
0.112256 | + | 0.993679i | \(0.464192\pi\) | |||||||
\(480\) | −0.326055 | + | 1.53169i | −0.0148823 | + | 0.0699117i | ||||
\(481\) | 4.56638i | 0.208209i | ||||||||
\(482\) | −26.3416 | + | 26.3416i | −1.19983 | + | 1.19983i | ||||
\(483\) | −6.87787 | + | 6.87787i | −0.312954 | + | 0.312954i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 6.23543 | − | 4.04665i | 0.283136 | − | 0.183749i | ||||
\(486\) | 23.3873i | 1.06087i | ||||||||
\(487\) | −7.59259 | + | 7.59259i | −0.344053 | + | 0.344053i | −0.857889 | − | 0.513836i | \(-0.828224\pi\) |
0.513836 | + | 0.857889i | \(0.328224\pi\) | |||||||
\(488\) | −14.9309 | − | 14.9309i | −0.675891 | − | 0.675891i | ||||
\(489\) | − | 12.8274i | − | 0.580077i | ||||||
\(490\) | −29.6113 | + | 19.2170i | −1.33770 | + | 0.868137i | ||||
\(491\) | − | 3.25606i | − | 0.146944i | −0.997297 | − | 0.0734720i | \(-0.976592\pi\) | ||
0.997297 | − | 0.0734720i | \(-0.0234080\pi\) | |||||||
\(492\) | −0.0506560 | − | 0.0506560i | −0.00228375 | − | 0.00228375i | ||||
\(493\) | −1.36563 | − | 1.36563i | −0.0615049 | − | 0.0615049i | ||||
\(494\) | 7.37092 | 0.331634 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.81272 | 0.0813935 | ||||||||
\(497\) | 25.6081 | + | 25.6081i | 1.14868 | + | 1.14868i | ||||
\(498\) | 1.71610 | + | 1.71610i | 0.0769002 | + | 0.0769002i | ||||
\(499\) | 8.94183i | 0.400291i | 0.979766 | + | 0.200146i | \(0.0641416\pi\) | ||||
−0.979766 | + | 0.200146i | \(0.935858\pi\) | |||||||
\(500\) | 0.980537 | − | 1.34702i | 0.0438509 | − | 0.0602405i | ||||
\(501\) | 3.45490i | 0.154353i | ||||||||
\(502\) | −16.9020 | − | 16.9020i | −0.754374 | − | 0.754374i | ||||
\(503\) | −13.6708 | + | 13.6708i | −0.609550 | + | 0.609550i | −0.942828 | − | 0.333278i | \(-0.891845\pi\) |
0.333278 | + | 0.942828i | \(0.391845\pi\) | |||||||
\(504\) | 26.3875i | 1.17539i | ||||||||
\(505\) | 6.18781 | − | 29.0681i | 0.275354 | − | 1.29351i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −7.14801 | + | 7.14801i | −0.317454 | + | 0.317454i | ||||
\(508\) | 0.122184 | − | 0.122184i | 0.00542104 | − | 0.00542104i | ||||
\(509\) | − | 2.82153i | − | 0.125062i | −0.998043 | − | 0.0625311i | \(-0.980083\pi\) | ||
0.998043 | − | 0.0625311i | \(-0.0199173\pi\) | |||||||
\(510\) | −4.41272 | + | 2.86376i | −0.195399 | + | 0.126809i | ||||
\(511\) | 23.0174 | 1.01823 | ||||||||
\(512\) | 13.8645 | + | 13.8645i | 0.612730 | + | 0.612730i | ||||
\(513\) | 16.9685 | − | 16.9685i | 0.749178 | − | 0.749178i | ||||
\(514\) | −23.7544 | −1.04776 | ||||||||
\(515\) | −12.2731 | − | 18.9114i | −0.540817 | − | 0.833338i | ||||
\(516\) | 0.886635i | 0.0390319i | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −21.5550 | − | 21.5550i | −0.947071 | − | 0.947071i | ||||
\(519\) | 3.60439 | 0.158215 | ||||||||
\(520\) | −1.16941 | + | 5.49344i | −0.0512818 | + | 0.240903i | ||||
\(521\) | 9.50337 | 0.416350 | 0.208175 | − | 0.978092i | \(-0.433248\pi\) | ||||
0.208175 | + | 0.978092i | \(0.433248\pi\) | |||||||
\(522\) | 2.39577 | − | 2.39577i | 0.104860 | − | 0.104860i | ||||
\(523\) | 10.4910 | − | 10.4910i | 0.458739 | − | 0.458739i | −0.439503 | − | 0.898241i | \(-0.644845\pi\) |
0.898241 | + | 0.439503i | \(0.144845\pi\) | |||||||
\(524\) | −2.15383 | −0.0940904 | ||||||||
\(525\) | −7.14620 | + | 16.0245i | −0.311886 | + | 0.699366i | ||||
\(526\) | 1.40535 | 0.0612761 | ||||||||
\(527\) | 0.577895 | + | 0.577895i | 0.0251735 | + | 0.0251735i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 15.3169i | − | 0.665953i | ||||||
\(530\) | −6.19817 | + | 29.1167i | −0.269231 | + | 1.26475i | ||||
\(531\) | −21.4775 | −0.932044 | ||||||||
\(532\) | −2.41271 | + | 2.41271i | −0.104604 | + | 0.104604i | ||||
\(533\) | −0.377985 | − | 0.377985i | −0.0163723 | − | 0.0163723i | ||||
\(534\) | −17.0013 | −0.735718 | ||||||||
\(535\) | 7.50659 | + | 11.5668i | 0.324538 | + | 0.500077i | ||||
\(536\) | − | 11.7242i | − | 0.506410i | ||||||
\(537\) | 2.18953 | − | 2.18953i | 0.0944853 | − | 0.0944853i | ||||
\(538\) | −29.4638 | + | 29.4638i | −1.27027 | + | 1.27027i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −0.801414 | − | 1.23489i | −0.0344874 | − | 0.0531411i | ||||
\(541\) | 31.2654i | 1.34420i | 0.740459 | + | 0.672101i | \(0.234608\pi\) | ||||
−0.740459 | + | 0.672101i | \(0.765392\pi\) | |||||||
\(542\) | −31.8750 | + | 31.8750i | −1.36915 | + | 1.36915i | ||||
\(543\) | 3.55929 | + | 3.55929i | 0.152744 | + | 0.152744i | ||||
\(544\) | − | 1.62179i | − | 0.0695335i | ||||||
\(545\) | 43.5649 | + | 9.27379i | 1.86611 | + | 0.397246i | ||||
\(546\) | 4.76193i | 0.203792i | ||||||||
\(547\) | −22.3204 | − | 22.3204i | −0.954353 | − | 0.954353i | 0.0446500 | − | 0.999003i | \(-0.485783\pi\) |
−0.999003 | + | 0.0446500i | \(0.985783\pi\) | |||||||
\(548\) | −1.30365 | − | 1.30365i | −0.0556892 | − | 0.0556892i | ||||
\(549\) | 17.9525 | 0.766194 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −5.44169 | −0.231824 | ||||||||
\(552\) | −4.42736 | − | 4.42736i | −0.188441 | − | 0.188441i | ||||
\(553\) | −6.80853 | − | 6.80853i | −0.289528 | − | 0.289528i | ||||
\(554\) | 44.1962i | 1.87772i | ||||||||
\(555\) | −8.98136 | − | 1.91189i | −0.381238 | − | 0.0811553i | ||||
\(556\) | 0.150419i | 0.00637918i | ||||||||
\(557\) | 9.37798 | + | 9.37798i | 0.397358 | + | 0.397358i | 0.877300 | − | 0.479942i | \(-0.159342\pi\) |
−0.479942 | + | 0.877300i | \(0.659342\pi\) | |||||||
\(558\) | −1.01382 | + | 1.01382i | −0.0429184 | + | 0.0429184i | ||||
\(559\) | 6.61589i | 0.279822i | ||||||||
\(560\) | −21.9403 | − | 33.8076i | −0.927149 | − | 1.42863i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 8.83073 | − | 8.83073i | 0.372502 | − | 0.372502i | ||||
\(563\) | 20.7685 | − | 20.7685i | 0.875286 | − | 0.875286i | −0.117756 | − | 0.993043i | \(-0.537570\pi\) |
0.993043 | + | 0.117756i | \(0.0375702\pi\) | |||||||
\(564\) | 0.147577i | 0.00621410i | ||||||||
\(565\) | −14.7561 | − | 22.7374i | −0.620793 | − | 0.956572i | ||||
\(566\) | 13.9878 | 0.587952 | ||||||||
\(567\) | −9.66685 | − | 9.66685i | −0.405970 | − | 0.405970i | ||||
\(568\) | −16.4842 | + | 16.4842i | −0.691662 | + | 0.691662i | ||||
\(569\) | 21.4507 | 0.899262 | 0.449631 | − | 0.893214i | \(-0.351555\pi\) | ||||
0.449631 | + | 0.893214i | \(0.351555\pi\) | |||||||
\(570\) | −3.08612 | + | 14.4975i | −0.129264 | + | 0.607233i | ||||
\(571\) | − | 28.7176i | − | 1.20179i | −0.799326 | − | 0.600897i | \(-0.794810\pi\) | ||
0.799326 | − | 0.600897i | \(-0.205190\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −9.74484 | − | 9.74484i | −0.407097 | − | 0.407097i | ||||
\(574\) | 3.56845 | 0.148944 | ||||||||
\(575\) | 4.95885 | + | 12.9417i | 0.206798 | + | 0.539705i | ||||
\(576\) | −16.8835 | −0.703477 | ||||||||
\(577\) | −4.73218 | + | 4.73218i | −0.197003 | + | 0.197003i | −0.798714 | − | 0.601711i | \(-0.794486\pi\) |
0.601711 | + | 0.798714i | \(0.294486\pi\) | |||||||
\(578\) | −13.7697 | + | 13.7697i | −0.572745 | + | 0.572745i | ||||
\(579\) | −14.1222 | −0.586898 | ||||||||
\(580\) | −0.0695062 | + | 0.326514i | −0.00288609 | + | 0.0135578i | ||||
\(581\) | −8.38297 | −0.347784 | ||||||||
\(582\) | 2.86867 | + | 2.86867i | 0.118910 | + | 0.118910i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 14.8165i | 0.613112i | ||||||||
\(585\) | −2.59955 | − | 4.00561i | −0.107478 | − | 0.165611i | ||||
\(586\) | −3.38262 | −0.139735 | ||||||||
\(587\) | −25.8079 | + | 25.8079i | −1.06520 | + | 1.06520i | −0.0674846 | + | 0.997720i | \(0.521497\pi\) |
−0.997720 | + | 0.0674846i | \(0.978503\pi\) | |||||||
\(588\) | −0.944664 | − | 0.944664i | −0.0389573 | − | 0.0389573i | ||||
\(589\) | 2.30277 | 0.0948839 | ||||||||
\(590\) | 25.5988 | − | 16.6131i | 1.05389 | − | 0.683949i | ||||
\(591\) | − | 11.3447i | − | 0.466659i | ||||||
\(592\) | 14.9148 | − | 14.9148i | 0.612993 | − | 0.612993i | ||||
\(593\) | −26.6656 | + | 26.6656i | −1.09502 | + | 1.09502i | −0.100040 | + | 0.994983i | \(0.531897\pi\) |
−0.994983 | + | 0.100040i | \(0.968103\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 3.78328 | − | 17.7724i | 0.155099 | − | 0.728599i | ||||
\(596\) | 0.181891i | 0.00745053i | ||||||||
\(597\) | −11.4295 | + | 11.4295i | −0.467779 | + | 0.467779i | ||||
\(598\) | 2.65971 | + | 2.65971i | 0.108764 | + | 0.108764i | ||||
\(599\) | 38.6017i | 1.57722i | 0.614892 | + | 0.788611i | \(0.289199\pi\) | ||||
−0.614892 | + | 0.788611i | \(0.710801\pi\) | |||||||
\(600\) | −10.3151 | − | 4.60008i | −0.421114 | − | 0.187798i | ||||
\(601\) | − | 38.1177i | − | 1.55485i | −0.628974 | − | 0.777427i | \(-0.716525\pi\) | ||
0.628974 | − | 0.777427i | \(-0.283475\pi\) | |||||||
\(602\) | −31.2294 | − | 31.2294i | −1.27282 | − | 1.27282i | ||||
\(603\) | 7.04845 | + | 7.04845i | 0.287035 | + | 0.287035i | ||||
\(604\) | −0.236459 | −0.00962138 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 16.2198 | 0.658884 | ||||||||
\(607\) | −25.6202 | − | 25.6202i | −1.03989 | − | 1.03989i | −0.999170 | − | 0.0407231i | \(-0.987034\pi\) |
−0.0407231 | − | 0.999170i | \(-0.512966\pi\) | |||||||
\(608\) | −3.23121 | − | 3.23121i | −0.131043 | − | 0.131043i | ||||
\(609\) | − | 3.51556i | − | 0.142458i | ||||||
\(610\) | −21.3974 | + | 13.8864i | −0.866357 | + | 0.562246i | ||||
\(611\) | 1.10119i | 0.0445493i | ||||||||
\(612\) | 0.468633 | + | 0.468633i | 0.0189434 | + | 0.0189434i | ||||
\(613\) | −1.70361 | + | 1.70361i | −0.0688081 | + | 0.0688081i | −0.740673 | − | 0.671865i | \(-0.765493\pi\) |
0.671865 | + | 0.740673i | \(0.265493\pi\) | |||||||
\(614\) | − | 25.8389i | − | 1.04277i | ||||||
\(615\) | 0.901696 | − | 0.585180i | 0.0363599 | − | 0.0235967i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −25.5598 | + | 25.5598i | −1.02900 | + | 1.02900i | −0.0294325 | + | 0.999567i | \(0.509370\pi\) |
−0.999567 | + | 0.0294325i | \(0.990630\pi\) | |||||||
\(618\) | 8.70038 | − | 8.70038i | 0.349981 | − | 0.349981i | ||||
\(619\) | − | 0.913846i | − | 0.0367306i | −0.999831 | − | 0.0183653i | \(-0.994154\pi\) | ||
0.999831 | − | 0.0183653i | \(-0.00584618\pi\) | |||||||
\(620\) | 0.0294130 | − | 0.138172i | 0.00118125 | − | 0.00554910i | ||||
\(621\) | 12.2458 | 0.491406 | ||||||||
\(622\) | −15.6665 | − | 15.6665i | −0.628170 | − | 0.628170i | ||||
\(623\) | 41.5248 | − | 41.5248i | 1.66366 | − | 1.66366i | ||||
\(624\) | −3.29497 | −0.131905 | ||||||||
\(625\) | 16.7057 | + | 18.5989i | 0.668230 | + | 0.743955i | ||||
\(626\) | − | 38.2851i | − | 1.53018i | ||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.781786 | − | 0.781786i | −0.0311967 | − | 0.0311967i | ||||
\(629\) | 9.50966 | 0.379175 | ||||||||
\(630\) | 31.1787 | + | 6.63712i | 1.24219 | + | 0.264429i | ||||
\(631\) | 23.1071 | 0.919881 | 0.459940 | − | 0.887950i | \(-0.347871\pi\) | ||||
0.459940 | + | 0.887950i | \(0.347871\pi\) | |||||||
\(632\) | 4.38272 | − | 4.38272i | 0.174335 | − | 0.174335i | ||||
\(633\) | 3.76201 | − | 3.76201i | 0.149527 | − | 0.149527i | ||||
\(634\) | −41.5265 | −1.64923 | ||||||||
\(635\) | 1.41148 | + | 2.17492i | 0.0560127 | + | 0.0863092i | ||||
\(636\) | −1.12662 | −0.0446735 | ||||||||
\(637\) | −7.04889 | − | 7.04889i | −0.279287 | − | 0.279287i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | − | 19.8201i | − | 0.784072i | ||||||
\(640\) | 23.2792 | − | 15.1077i | 0.920191 | − | 0.597183i | ||||
\(641\) | 8.72877 | 0.344766 | 0.172383 | − | 0.985030i | \(-0.444853\pi\) | ||||
0.172383 | + | 0.985030i | \(0.444853\pi\) | |||||||
\(642\) | −5.32141 | + | 5.32141i | −0.210019 | + | 0.210019i | ||||
\(643\) | −22.3017 | − | 22.3017i | −0.879494 | − | 0.879494i | 0.113988 | − | 0.993482i | \(-0.463638\pi\) |
−0.993482 | + | 0.113988i | \(0.963638\pi\) | |||||||
\(644\) | −1.74119 | −0.0686126 | ||||||||
\(645\) | −13.0124 | − | 2.77000i | −0.512364 | − | 0.109069i | ||||
\(646\) | − | 15.3503i | − | 0.603948i | ||||||
\(647\) | −9.71662 | + | 9.71662i | −0.382000 | + | 0.382000i | −0.871822 | − | 0.489823i | \(-0.837062\pi\) |
0.489823 | + | 0.871822i | \(0.337062\pi\) | |||||||
\(648\) | 6.22265 | − | 6.22265i | 0.244449 | − | 0.244449i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 6.19675 | + | 2.76347i | 0.243057 | + | 0.108392i | ||||
\(651\) | 1.48769i | 0.0583070i | ||||||||
\(652\) | 1.62369 | − | 1.62369i | 0.0635885 | − | 0.0635885i | ||||
\(653\) | 3.84746 | + | 3.84746i | 0.150563 | + | 0.150563i | 0.778369 | − | 0.627807i | \(-0.216047\pi\) |
−0.627807 | + | 0.778369i | \(0.716047\pi\) | |||||||
\(654\) | 24.3089i | 0.950554i | ||||||||
\(655\) | 6.72893 | − | 31.6100i | 0.262921 | − | 1.23511i | ||||
\(656\) | 2.46916i | 0.0964045i | ||||||||
\(657\) | −8.90749 | − | 8.90749i | −0.347514 | − | 0.347514i | ||||
\(658\) | −5.19801 | − | 5.19801i | −0.202639 | − | 0.202639i | ||||
\(659\) | 42.1160 | 1.64061 | 0.820304 | − | 0.571928i | \(-0.193805\pi\) | ||||
0.820304 | + | 0.571928i | \(0.193805\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −19.5844 | −0.761745 | −0.380872 | − | 0.924628i | \(-0.624376\pi\) | ||||
−0.380872 | + | 0.924628i | \(0.624376\pi\) | |||||||
\(662\) | 25.5472 | + | 25.5472i | 0.992918 | + | 0.992918i | ||||
\(663\) | −1.05044 | − | 1.05044i | −0.0407957 | − | 0.0407957i | ||||
\(664\) | − | 5.39621i | − | 0.209413i | ||||||
\(665\) | −27.8717 | − | 42.9471i | −1.08082 | − | 1.66542i | ||||
\(666\) | 16.6831i | 0.646457i | ||||||||
\(667\) | −1.96357 | − | 1.96357i | −0.0760297 | − | 0.0760297i | ||||
\(668\) | −0.437318 | + | 0.437318i | −0.0169204 | + | 0.0169204i | ||||
\(669\) | 11.8169i | 0.456868i | ||||||||
\(670\) | −13.8530 | − | 2.94894i | −0.535189 | − | 0.113927i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 2.08750 | − | 2.08750i | 0.0805269 | − | 0.0805269i | ||||
\(673\) | −3.92182 | + | 3.92182i | −0.151175 | + | 0.151175i | −0.778643 | − | 0.627468i | \(-0.784092\pi\) |
0.627468 | + | 0.778643i | \(0.284092\pi\) | |||||||
\(674\) | − | 45.4678i | − | 1.75135i | ||||||
\(675\) | 20.6272 | − | 7.90372i | 0.793943 | − | 0.304214i | ||||
\(676\) | −1.80958 | −0.0695992 | ||||||||
\(677\) | −1.64985 | − | 1.64985i | −0.0634089 | − | 0.0634089i | 0.674691 | − | 0.738100i | \(-0.264277\pi\) |
−0.738100 | + | 0.674691i | \(0.764277\pi\) | |||||||
\(678\) | 10.4606 | − | 10.4606i | 0.401736 | − | 0.401736i | ||||
\(679\) | −14.0132 | −0.537776 | ||||||||
\(680\) | 11.4403 | + | 2.43533i | 0.438716 | + | 0.0933908i | ||||
\(681\) | − | 6.89132i | − | 0.264076i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −25.0400 | − | 25.0400i | −0.958127 | − | 0.958127i | 0.0410307 | − | 0.999158i | \(-0.486936\pi\) |
−0.999158 | + | 0.0410307i | \(0.986936\pi\) | |||||||
\(684\) | 1.86738 | 0.0714012 | ||||||||
\(685\) | 23.2055 | − | 15.0598i | 0.886636 | − | 0.575406i | ||||
\(686\) | 23.2903 | 0.889229 | ||||||||
\(687\) | 11.5371 | − | 11.5371i | 0.440169 | − | 0.440169i | ||||
\(688\) | 21.6089 | − | 21.6089i | 0.823832 | − | 0.823832i | ||||
\(689\) | −8.40662 | −0.320267 | ||||||||
\(690\) | −6.34483 | + | 4.11765i | −0.241544 | + | 0.156756i | ||||
\(691\) | −1.79981 | −0.0684681 | −0.0342340 | − | 0.999414i | \(-0.510899\pi\) | ||||
−0.0342340 | + | 0.999414i | \(0.510899\pi\) | |||||||
\(692\) | 0.456241 | + | 0.456241i | 0.0173437 | + | 0.0173437i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 44.2510i | 1.67974i | ||||||||
\(695\) | −2.20758 | − | 0.469934i | −0.0837382 | − | 0.0178256i | ||||
\(696\) | 2.26301 | 0.0857790 | ||||||||
\(697\) | −0.787169 | + | 0.787169i | −0.0298161 | + | 0.0298161i | ||||
\(698\) | 22.1490 | + | 22.1490i | 0.838351 | + | 0.838351i | ||||
\(699\) | 3.09109 | 0.116916 | ||||||||
\(700\) | −2.93293 | + | 1.12381i | −0.110854 | + | 0.0424759i | ||||
\(701\) | 17.8151i | 0.672869i | 0.941707 | + | 0.336434i | \(0.109221\pi\) | ||||
−0.941707 | + | 0.336434i | \(0.890779\pi\) | |||||||
\(702\) | 4.23921 | − | 4.23921i | 0.159999 | − | 0.159999i | ||||
\(703\) | 18.9468 | − | 18.9468i | 0.714593 | − | 0.714593i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −2.16587 | − | 0.461055i | −0.0815713 | − | 0.0173643i | ||||
\(706\) | 5.85933i | 0.220519i | ||||||||
\(707\) | −39.6160 | + | 39.6160i | −1.48991 | + | 1.48991i | ||||
\(708\) | 0.816659 | + | 0.816659i | 0.0306919 | + | 0.0306919i | ||||
\(709\) | 10.0474i | 0.377339i | 0.982041 | + | 0.188670i | \(0.0604175\pi\) | ||||
−0.982041 | + | 0.188670i | \(0.939583\pi\) | |||||||
\(710\) | 15.3311 | + | 23.6234i | 0.575365 | + | 0.886572i | ||||
\(711\) | 5.26966i | 0.197628i | ||||||||
\(712\) | 26.7300 | + | 26.7300i | 1.00175 | + | 1.00175i | ||||
\(713\) | 0.830926 | + | 0.830926i | 0.0311184 | + | 0.0311184i | ||||
\(714\) | 9.91691 | 0.371131 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0.554298 | 0.0207151 | ||||||||
\(717\) | 1.89127 | + | 1.89127i | 0.0706309 | + | 0.0706309i | ||||
\(718\) | −11.1332 | − | 11.1332i | −0.415489 | − | 0.415489i | ||||
\(719\) | 6.85933i | 0.255810i | 0.991786 | + | 0.127905i | \(0.0408252\pi\) | ||||
−0.991786 | + | 0.127905i | \(0.959175\pi\) | |||||||
\(720\) | −4.59249 | + | 21.5739i | −0.171152 | + | 0.804010i | ||||
\(721\) | 42.5005i | 1.58280i | ||||||||
\(722\) | −10.8883 | − | 10.8883i | −0.405221 | − | 0.405221i | ||||
\(723\) | 14.9587 | − | 14.9587i | 0.556319 | − | 0.556319i | ||||
\(724\) | 0.901065i | 0.0334878i | ||||||||
\(725\) | −4.57485 | − | 2.04017i | −0.169906 | − | 0.0757702i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −25.2212 | + | 25.2212i | −0.935401 | + | 0.935401i | −0.998036 | − | 0.0626351i | \(-0.980050\pi\) |
0.0626351 | + | 0.998036i | \(0.480050\pi\) | |||||||
\(728\) | 7.48685 | − | 7.48685i | 0.277481 | − | 0.277481i | ||||
\(729\) | − | 3.55147i | − | 0.131536i | ||||||
\(730\) | 17.5068 | + | 3.72672i | 0.647955 | + | 0.137932i | ||||
\(731\) | 13.7779 | 0.509592 | ||||||||
\(732\) | −0.682625 | − | 0.682625i | −0.0252306 | − | 0.0252306i | ||||
\(733\) | −5.45218 | + | 5.45218i | −0.201381 | + | 0.201381i | −0.800591 | − | 0.599211i | \(-0.795481\pi\) |
0.599211 | + | 0.800591i | \(0.295481\pi\) | |||||||
\(734\) | 50.7284 | 1.87242 | ||||||||
\(735\) | 16.8154 | − | 10.9128i | 0.620245 | − | 0.402525i | ||||
\(736\) | − | 2.33188i | − | 0.0859543i | ||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −1.38095 | − | 1.38095i | −0.0508336 | − | 0.0508336i | ||||
\(739\) | −40.8032 | −1.50097 | −0.750485 | − | 0.660887i | \(-0.770180\pi\) | ||||
−0.750485 | + | 0.660887i | \(0.770180\pi\) | |||||||
\(740\) | −0.894848 | − | 1.37886i | −0.0328953 | − | 0.0506879i | ||||
\(741\) | −4.18574 | −0.153767 | ||||||||
\(742\) | 39.6823 | − | 39.6823i | 1.45678 | − | 1.45678i | ||||
\(743\) | −31.3704 | + | 31.3704i | −1.15087 | + | 1.15087i | −0.164491 | + | 0.986379i | \(0.552598\pi\) |
−0.986379 | + | 0.164491i | \(0.947402\pi\) | |||||||
\(744\) | −0.957638 | −0.0351087 | ||||||||
\(745\) | −2.66947 | − | 0.568258i | −0.0978017 | − | 0.0208193i | ||||
\(746\) | 20.5338 | 0.751796 | ||||||||
\(747\) | 3.24412 | + | 3.24412i | 0.118696 | + | 0.118696i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 25.9946i | − | 0.949821i | ||||||
\(750\) | −8.02984 | + | 11.0310i | −0.293208 | + | 0.402796i | ||||
\(751\) | −13.1663 | −0.480445 | −0.240223 | − | 0.970718i | \(-0.577220\pi\) | ||||
−0.240223 | + | 0.970718i | \(0.577220\pi\) | |||||||
\(752\) | 3.59672 | − | 3.59672i | 0.131159 | − | 0.131159i | ||||
\(753\) | 9.59817 | + | 9.59817i | 0.349777 | + | 0.349777i | ||||
\(754\) | −1.35949 | −0.0495096 | ||||||||
\(755\) | 0.738739 | − | 3.47032i | 0.0268854 | − | 0.126298i | ||||
\(756\) | 2.77522i | 0.100934i | ||||||||
\(757\) | −14.0516 | + | 14.0516i | −0.510713 | + | 0.510713i | −0.914745 | − | 0.404032i | \(-0.867608\pi\) |
0.404032 | + | 0.914745i | \(0.367608\pi\) | |||||||
\(758\) | −27.4703 | + | 27.4703i | −0.997768 | + | 0.997768i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 27.6455 | − | 17.9413i | 1.00281 | − | 0.650799i | ||||
\(761\) | − | 17.7388i | − | 0.643030i | −0.946904 | − | 0.321515i | \(-0.895808\pi\) | ||
0.946904 | − | 0.321515i | \(-0.104192\pi\) | |||||||
\(762\) | −1.00059 | + | 1.00059i | −0.0362477 | + | 0.0362477i | ||||
\(763\) | −59.3733 | − | 59.3733i | −2.14946 | − | 2.14946i | ||||
\(764\) | − | 2.46699i | − | 0.0892525i | ||||||
\(765\) | −8.34184 | + | 5.41366i | −0.301600 | + | 0.195731i | ||||
\(766\) | 35.2381i | 1.27321i | ||||||||
\(767\) | 6.09374 | + | 6.09374i | 0.220032 | + | 0.220032i | ||||
\(768\) | 2.09390 | + | 2.09390i | 0.0755572 | + | 0.0755572i | ||||
\(769\) | −33.4001 | −1.20444 | −0.602218 | − | 0.798331i | \(-0.705716\pi\) | ||||
−0.602218 | + | 0.798331i | \(0.705716\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 13.4894 | 0.485810 | ||||||||
\(772\) | −1.78757 | − | 1.78757i | −0.0643362 | − | 0.0643362i | ||||
\(773\) | 26.9841 | + | 26.9841i | 0.970551 | + | 0.970551i | 0.999579 | − | 0.0290274i | \(-0.00924101\pi\) |
−0.0290274 | + | 0.999579i | \(0.509241\pi\) | |||||||
\(774\) | 24.1709i | 0.868805i | ||||||||
\(775\) | 1.93594 | + | 0.863343i | 0.0695411 | + | 0.0310122i | ||||
\(776\) | − | 9.02042i | − | 0.323814i | ||||||
\(777\) | 12.2404 | + | 12.2404i | 0.439123 | + | 0.439123i | ||||
\(778\) | −7.82149 | + | 7.82149i | −0.280414 | + | 0.280414i | ||||
\(779\) | 3.13667i | 0.112383i | ||||||||
\(780\) | −0.0534639 | + | 0.251154i | −0.00191432 | + | 0.00899276i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 5.53895 | − | 5.53895i | 0.198072 | − | 0.198072i | ||||
\(783\) | −3.12966 | + | 3.12966i | −0.111845 | + | 0.111845i | ||||
\(784\) | 46.0464i | 1.64451i | ||||||||
\(785\) | 13.9161 | − | 9.03122i | 0.496687 | − | 0.322338i | ||||
\(786\) | 17.6382 | 0.629133 | ||||||||
\(787\) | 25.9828 | + | 25.9828i | 0.926187 | + | 0.926187i | 0.997457 | − | 0.0712698i | \(-0.0227051\pi\) |
−0.0712698 | + | 0.997457i | \(0.522705\pi\) | |||||||
\(788\) | 1.43600 | − | 1.43600i | 0.0511555 | − | 0.0511555i | ||||
\(789\) | −0.798057 | −0.0284116 | ||||||||
\(790\) | −4.07614 | − | 6.28086i | −0.145022 | − | 0.223463i | ||||
\(791\) | 51.0989i | 1.81687i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −5.09361 | − | 5.09361i | −0.180879 | − | 0.180879i | ||||
\(794\) | −33.3769 | −1.18450 | ||||||||
\(795\) | 3.51976 | − | 16.5345i | 0.124833 | − | 0.586420i | ||||
\(796\) | −2.89348 | −0.102557 | ||||||||
\(797\) | 14.2420 | − | 14.2420i | 0.504479 | − | 0.504479i | −0.408348 | − | 0.912827i | \(-0.633895\pi\) |
0.912827 | + | 0.408348i | \(0.133895\pi\) | |||||||
\(798\) | 19.7582 | − | 19.7582i | 0.699433 | − | 0.699433i | ||||
\(799\) | 2.29327 | 0.0811300 | ||||||||
\(800\) | −1.50505 | − | 3.92791i | −0.0532117 | − | 0.138873i | ||||
\(801\) | −32.1393 | −1.13559 | ||||||||
\(802\) | 25.0253 | + | 25.0253i | 0.883674 | + | 0.883674i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | − | 0.536020i | − | 0.0189040i | ||||||
\(805\) | 5.43978 | − | 25.5541i | 0.191727 | − | 0.900663i | ||||
\(806\) | 0.575295 | 0.0202639 | ||||||||
\(807\) | 16.7316 | − | 16.7316i | 0.588981 | − | 0.588981i | ||||
\(808\) | −25.5012 | − | 25.5012i | −0.897131 | − | 0.897131i | ||||
\(809\) | −51.9338 | −1.82590 | −0.912948 | − | 0.408076i | \(-0.866200\pi\) | ||||
−0.912948 | + | 0.408076i | \(0.866200\pi\) | |||||||
\(810\) | −5.78736 | − | 8.91766i | −0.203347 | − | 0.313335i | ||||
\(811\) | − | 39.1727i | − | 1.37554i | −0.725928 | − | 0.687770i | \(-0.758590\pi\) | ||
0.725928 | − | 0.687770i | \(-0.241410\pi\) | |||||||
\(812\) | 0.444997 | − | 0.444997i | 0.0156163 | − | 0.0156163i | ||||
\(813\) | 18.1009 | − | 18.1009i | 0.634826 | − | 0.634826i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 18.7569 | + | 28.9022i | 0.657025 | + | 1.01240i | ||||
\(816\) | 6.86192i | 0.240215i | ||||||||
\(817\) | 27.4507 | − | 27.4507i | 0.960377 | − | 0.960377i | ||||
\(818\) | −6.07010 | − | 6.07010i | −0.212236 | − | 0.212236i | ||||
\(819\) | 9.00197i | 0.314554i | ||||||||
\(820\) | 0.188208 | + | 0.0400644i | 0.00657250 | + | 0.00139911i | ||||
\(821\) | 24.9965i | 0.872384i | 0.899854 | + | 0.436192i | \(0.143673\pi\) | ||||
−0.899854 | + | 0.436192i | \(0.856327\pi\) | |||||||
\(822\) | 10.6759 | + | 10.6759i | 0.372365 | + | 0.372365i | ||||
\(823\) | −16.2466 | − | 16.2466i | −0.566321 | − | 0.566321i | 0.364775 | − | 0.931096i | \(-0.381146\pi\) |
−0.931096 | + | 0.364775i | \(0.881146\pi\) | |||||||
\(824\) | −27.3580 | −0.953062 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −57.5294 | −2.00170 | ||||||||
\(827\) | 3.91550 | + | 3.91550i | 0.136155 | + | 0.136155i | 0.771900 | − | 0.635744i | \(-0.219307\pi\) |
−0.635744 | + | 0.771900i | \(0.719307\pi\) | |||||||
\(828\) | 0.673823 | + | 0.673823i | 0.0234170 | + | 0.0234170i | ||||
\(829\) | − | 14.9736i | − | 0.520054i | −0.965601 | − | 0.260027i | \(-0.916268\pi\) | ||
0.965601 | − | 0.260027i | \(-0.0837315\pi\) | |||||||
\(830\) | −6.37600 | − | 1.35728i | −0.221314 | − | 0.0471119i | ||||
\(831\) | − | 25.0978i | − | 0.870632i | ||||||
\(832\) | 4.79029 | + | 4.79029i | 0.166073 | + | 0.166073i | ||||
\(833\) | −14.6796 | + | 14.6796i | −0.508618 | + | 0.508618i | ||||
\(834\) | − | 1.23181i | − | 0.0426542i | ||||||
\(835\) | −5.05192 | − | 7.78443i | −0.174829 | − | 0.269391i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1.32438 | − | 1.32438i | 0.0457773 | − | 0.0457773i | ||||
\(838\) | 11.4645 | − | 11.4645i | 0.396035 | − | 0.396035i | ||||
\(839\) | − | 12.5957i | − | 0.434851i | −0.976077 | − | 0.217426i | \(-0.930234\pi\) | ||
0.976077 | − | 0.217426i | \(-0.0697660\pi\) | |||||||
\(840\) | 11.5908 | + | 17.8601i | 0.399922 | + | 0.616234i | ||||
\(841\) | −27.9963 | −0.965391 | ||||||||
\(842\) | −8.16111 | − | 8.16111i | −0.281250 | − | 0.281250i | ||||
\(843\) | −5.01472 | + | 5.01472i | −0.172716 | + | 0.172716i | ||||
\(844\) | 0.952386 | 0.0327825 | ||||||||
\(845\) | 5.65344 | − | 26.5578i | 0.194484 | − | 0.913615i | ||||
\(846\) | 4.02315i | 0.138319i | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 27.4579 | + | 27.4579i | 0.942907 | + | 0.942907i | ||||
\(849\) | −7.94329 | −0.272613 | ||||||||
\(850\) | 5.75504 | − | 12.9050i | 0.197396 | − | 0.442638i | ||||
\(851\) | 13.6735 | 0.468720 | ||||||||
\(852\) | −0.753640 | + | 0.753640i | −0.0258193 | + | 0.0258193i | ||||
\(853\) | 35.1948 | − | 35.1948i | 1.20505 | − | 1.20505i | 0.232437 | − | 0.972611i | \(-0.425330\pi\) |
0.972611 | − | 0.232437i | \(-0.0746700\pi\) | |||||||
\(854\) | 48.0874 | 1.64552 | ||||||||
\(855\) | −5.83403 | + | 27.4061i | −0.199519 | + | 0.937269i | ||||
\(856\) | 16.7330 | 0.571922 | ||||||||
\(857\) | 21.2860 | + | 21.2860i | 0.727117 | + | 0.727117i | 0.970044 | − | 0.242927i | \(-0.0781077\pi\) |
−0.242927 | + | 0.970044i | \(0.578108\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 9.31402i | 0.317790i | 0.987295 | + | 0.158895i | \(0.0507932\pi\) | ||||
−0.987295 | + | 0.158895i | \(0.949207\pi\) | |||||||
\(860\) | −1.29648 | − | 1.99773i | −0.0442096 | − | 0.0681220i | ||||
\(861\) | −2.02642 | −0.0690603 | ||||||||
\(862\) | 7.57014 | − | 7.57014i | 0.257840 | − | 0.257840i | ||||
\(863\) | 25.0239 | + | 25.0239i | 0.851825 | + | 0.851825i | 0.990358 | − | 0.138533i | \(-0.0442387\pi\) |
−0.138533 | + | 0.990358i | \(0.544239\pi\) | |||||||
\(864\) | −3.71670 | −0.126445 | ||||||||
\(865\) | −8.12126 | + | 5.27051i | −0.276131 | + | 0.179203i | ||||
\(866\) | 7.39941i | 0.251442i | ||||||||
\(867\) | 7.81942 | − | 7.81942i | 0.265562 | − | 0.265562i | ||||
\(868\) | −0.188310 | + | 0.188310i | −0.00639166 | + | 0.00639166i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0.569202 | − | 2.67390i | 0.0192978 | − | 0.0906538i | ||||
\(871\) | − | 3.99967i | − | 0.135524i | ||||||
\(872\) | 38.2192 | − | 38.2192i | 1.29427 | − | 1.29427i | ||||
\(873\) | 5.42295 | + | 5.42295i | 0.183539 | + | 0.183539i | ||||
\(874\) | − | 22.0713i | − | 0.746574i | ||||||
\(875\) | −7.33027 | − | 46.5552i | −0.247808 | − | 1.57385i | ||||
\(876\) | 0.677396i | 0.0228871i | ||||||||
\(877\) | 15.4569 | + | 15.4569i | 0.521941 | + | 0.521941i | 0.918157 | − | 0.396216i | \(-0.129677\pi\) |
−0.396216 | + | 0.918157i | \(0.629677\pi\) | |||||||
\(878\) | −1.34526 | − | 1.34526i | −0.0454002 | − | 0.0454002i | ||||
\(879\) | 1.92089 | 0.0647901 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 46.4810 | 1.56599 | 0.782993 | − | 0.622031i | \(-0.213692\pi\) | ||||
0.782993 | + | 0.622031i | \(0.213692\pi\) | |||||||
\(882\) | −25.7529 | − | 25.7529i | −0.867144 | − | 0.867144i | ||||
\(883\) | −19.7450 | − | 19.7450i | −0.664471 | − | 0.664471i | 0.291959 | − | 0.956431i | \(-0.405693\pi\) |
−0.956431 | + | 0.291959i | \(0.905693\pi\) | |||||||
\(884\) | − | 0.265927i | − | 0.00894411i | ||||||
\(885\) | −14.5368 | + | 9.43408i | −0.488651 | + | 0.317123i | ||||
\(886\) | 22.5769i | 0.758486i | ||||||||
\(887\) | 4.97816 | + | 4.97816i | 0.167150 | + | 0.167150i | 0.785726 | − | 0.618575i | \(-0.212290\pi\) |
−0.618575 | + | 0.785726i | \(0.712290\pi\) | |||||||
\(888\) | −7.87930 | + | 7.87930i | −0.264412 | + | 0.264412i | ||||
\(889\) | − | 4.88780i | − | 0.163932i | ||||||
\(890\) | 38.3066 | − | 24.8601i | 1.28404 | − | 0.833313i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −1.49577 | + | 1.49577i | −0.0500822 | + | 0.0500822i | ||||
\(893\) | 4.56905 | − | 4.56905i | 0.152897 | − | 0.152897i | ||||
\(894\) | − | 1.48954i | − | 0.0498178i | ||||||
\(895\) | −1.73172 | + | 8.13500i | −0.0578851 | + | 0.271923i | ||||
\(896\) | −52.3164 | −1.74777 | ||||||||
\(897\) | −1.51037 | − | 1.51037i | −0.0504298 | − | 0.0504298i | ||||
\(898\) | −12.5663 | + | 12.5663i | −0.419344 | + | 0.419344i | ||||
\(899\) | −0.424720 | −0.0141652 | ||||||||
\(900\) | 1.56991 | + | 0.700111i | 0.0523305 | + | 0.0233370i | ||||
\(901\) | 17.5071i | 0.583247i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 17.7343 | + | 17.7343i | 0.590160 | + | 0.590160i | ||||
\(904\) | −32.8929 | −1.09400 | ||||||||
\(905\) | −13.2242 | − | 2.81508i | −0.439588 | − | 0.0935764i | ||||
\(906\) | 1.93642 | 0.0643332 | ||||||||
\(907\) | −20.8941 | + | 20.8941i | −0.693777 | + | 0.693777i | −0.963061 | − | 0.269283i | \(-0.913213\pi\) |
0.269283 | + | 0.963061i | \(0.413213\pi\) | |||||||
\(908\) | 0.872298 | − | 0.872298i | 0.0289482 | − | 0.0289482i | ||||
\(909\) | 30.6620 | 1.01699 | ||||||||
\(910\) | −6.96312 | − | 10.7294i | −0.230825 | − | 0.355675i | ||||
\(911\) | 16.9533 | 0.561689 | 0.280844 | − | 0.959753i | \(-0.409386\pi\) | ||||
0.280844 | + | 0.959753i | \(0.409386\pi\) | |||||||
\(912\) | 13.6715 | + | 13.6715i | 0.452709 | + | 0.452709i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | − | 5.14655i | − | 0.170233i | ||||||
\(915\) | 12.1510 | − | 7.88571i | 0.401699 | − | 0.260694i | ||||
\(916\) | 2.92072 | 0.0965034 | ||||||||
\(917\) | −43.0804 | + | 43.0804i | −1.42264 | + | 1.42264i | ||||
\(918\) | −8.82832 | − | 8.82832i | −0.291378 | − | 0.291378i | ||||
\(919\) | −5.02309 | −0.165697 | −0.0828483 | − | 0.996562i | \(-0.526402\pi\) | ||||
−0.0828483 | + | 0.996562i | \(0.526402\pi\) | |||||||
\(920\) | 16.4494 | + | 3.50164i | 0.542322 | + | 0.115446i | ||||
\(921\) | 14.6732i | 0.483497i | ||||||||
\(922\) | −5.65287 | + | 5.65287i | −0.186167 | + | 0.186167i | ||||
\(923\) | −5.62351 | + | 5.62351i | −0.185100 | + | 0.185100i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 23.0321 | − | 8.82519i | 0.757290 | − | 0.290170i | ||||
\(926\) | − | 31.9260i | − | 1.04915i | ||||||
\(927\) | 16.4473 | − | 16.4473i | 0.540199 | − | 0.540199i | ||||
\(928\) | 0.595961 | + | 0.595961i | 0.0195634 | + | 0.0195634i | ||||
\(929\) | 11.8130i | 0.387572i | 0.981044 | + | 0.193786i | \(0.0620767\pi\) | ||||
−0.981044 | + | 0.193786i | \(0.937923\pi\) | |||||||
\(930\) | −0.240870 | + | 1.13152i | −0.00789843 | + | 0.0371039i | ||||
\(931\) | 58.4945i | 1.91708i | ||||||||
\(932\) | 0.391268 | + | 0.391268i | 0.0128164 | + | 0.0128164i | ||||
\(933\) | 8.89656 | + | 8.89656i | 0.291260 | + | 0.291260i | ||||
\(934\) | 21.5258 | 0.704346 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −5.79466 | −0.189405 | ||||||||
\(937\) | 1.62077 | + | 1.62077i | 0.0529483 | + | 0.0529483i | 0.733085 | − | 0.680137i | \(-0.238080\pi\) |
−0.680137 | + | 0.733085i | \(0.738080\pi\) | |||||||
\(938\) | 18.8799 | + | 18.8799i | 0.616451 | + | 0.616451i | ||||
\(939\) | 21.7410i | 0.709492i | ||||||||
\(940\) | −0.215794 | − | 0.332514i | −0.00703842 | − | 0.0108454i | ||||
\(941\) | 1.77332i | 0.0578087i | 0.999582 | + | 0.0289044i | \(0.00920183\pi\) | ||||
−0.999582 | + | 0.0289044i | \(0.990798\pi\) | |||||||
\(942\) | 6.40223 | + | 6.40223i | 0.208596 | + | 0.208596i | ||||
\(943\) | −1.13183 | + | 1.13183i | −0.0368574 | + | 0.0368574i | ||||
\(944\) | − | 39.8070i | − | 1.29561i | ||||||
\(945\) | −40.7297 | − | 8.67026i | −1.32494 | − | 0.282043i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −8.63289 | + | 8.63289i | −0.280531 | + | 0.280531i | −0.833321 | − | 0.552790i | \(-0.813563\pi\) |
0.552790 | + | 0.833321i | \(0.313563\pi\) | |||||||
\(948\) | 0.200373 | − | 0.200373i | 0.00650782 | − | 0.00650782i | ||||
\(949\) | 5.05459i | 0.164079i | ||||||||
\(950\) | −14.2454 | − | 37.1778i | −0.462181 | − | 1.20621i | ||||
\(951\) | 23.5817 | 0.764689 | ||||||||
\(952\) | −15.5917 | − | 15.5917i | −0.505329 | − | 0.505329i | ||||
\(953\) | −13.0350 | + | 13.0350i | −0.422246 | + | 0.422246i | −0.885976 | − | 0.463730i | \(-0.846511\pi\) |
0.463730 | + | 0.885976i | \(0.346511\pi\) | |||||||
\(954\) | −30.7133 | −0.994380 | ||||||||
\(955\) | 36.2060 | + | 7.70729i | 1.17160 | + | 0.249402i | ||||
\(956\) | 0.478792i | 0.0154852i | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −5.09348 | − | 5.09348i | −0.164563 | − | 0.164563i | ||||
\(959\) | −52.1507 | −1.68403 | ||||||||
\(960\) | −11.4274 | + | 7.41613i | −0.368818 | + | 0.239355i | ||||
\(961\) | −30.8203 | −0.994202 | ||||||||
\(962\) | 4.73344 | − | 4.73344i | 0.152612 | − | 0.152612i | ||||
\(963\) | −10.0596 | + | 10.0596i | −0.324167 | + | 0.324167i | ||||
\(964\) | 3.78691 | 0.121968 | ||||||||
\(965\) | 31.8195 | − | 20.6501i | 1.02431 | − | 0.664751i | ||||
\(966\) | 14.2590 | 0.458776 | ||||||||
\(967\) | 9.49113 | + | 9.49113i | 0.305214 | + | 0.305214i | 0.843050 | − | 0.537836i | \(-0.180758\pi\) |
−0.537836 | + | 0.843050i | \(0.680758\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 8.71697i | 0.280029i | ||||||||
\(970\) | −10.6583 | − | 2.26886i | −0.342216 | − | 0.0728487i | ||||
\(971\) | 51.2201 | 1.64373 | 0.821865 | − | 0.569682i | \(-0.192933\pi\) | ||||
0.821865 | + | 0.569682i | \(0.192933\pi\) | |||||||
\(972\) | 1.68109 | − | 1.68109i | 0.0539211 | − | 0.0539211i | ||||
\(973\) | 3.00865 | + | 3.00865i | 0.0964527 | + | 0.0964527i | ||||
\(974\) | 15.7408 | 0.504366 | ||||||||
\(975\) | −3.51896 | − | 1.56930i | −0.112697 | − | 0.0502577i | ||||
\(976\) | 33.2737i | 1.06506i | ||||||||
\(977\) | 10.2391 | − | 10.2391i | 0.327578 | − | 0.327578i | −0.524087 | − | 0.851665i | \(-0.675593\pi\) |
0.851665 | + | 0.524087i | \(0.175593\pi\) | |||||||
\(978\) | −13.2967 | + | 13.2967i | −0.425183 | + | 0.425183i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 3.50981 | + | 0.747144i | 0.112117 | + | 0.0238666i | ||||
\(981\) | 45.9537i | 1.46719i | ||||||||
\(982\) | −3.37519 | + | 3.37519i | −0.107707 | + | 0.107707i | ||||
\(983\) | 40.6921 | + | 40.6921i | 1.29788 | + | 1.29788i | 0.929793 | + | 0.368083i | \(0.119986\pi\) |
0.368083 | + | 0.929793i | \(0.380014\pi\) | |||||||
\(984\) | − | 1.30443i | − | 0.0415837i | ||||||
\(985\) | 16.5888 | + | 25.5614i | 0.528562 | + | 0.814454i | ||||
\(986\) | 2.83119i | 0.0901633i | ||||||||
\(987\) | 2.95180 | + | 2.95180i | 0.0939568 | + | 0.0939568i | ||||
\(988\) | −0.529827 | − | 0.529827i | −0.0168560 | − | 0.0168560i | ||||
\(989\) | 19.8105 | 0.629936 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 13.1102 | 0.416458 | 0.208229 | − | 0.978080i | \(-0.433230\pi\) | ||||
0.208229 | + | 0.978080i | \(0.433230\pi\) | |||||||
\(992\) | −0.252193 | − | 0.252193i | −0.00800715 | − | 0.00800715i | ||||
\(993\) | −14.5075 | − | 14.5075i | −0.460381 | − | 0.460381i | ||||
\(994\) | − | 53.0900i | − | 1.68391i | ||||||
\(995\) | 9.03971 | − | 42.4653i | 0.286578 | − | 1.34624i | ||||
\(996\) | − | 0.246709i | − | 0.00781726i | ||||||
\(997\) | −1.59446 | − | 1.59446i | −0.0504969 | − | 0.0504969i | 0.681407 | − | 0.731904i | \(-0.261368\pi\) |
−0.731904 | + | 0.681407i | \(0.761368\pi\) | |||||||
\(998\) | 9.26898 | − | 9.26898i | 0.293404 | − | 0.293404i | ||||
\(999\) | − | 21.7936i | − | 0.689519i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))