Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [693,2,Mod(64,693)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(693, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("693.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 693 = 3^{2} \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 693.m (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.53363286007\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 379.8 | ||
Character | \(\chi\) | \(=\) | 693.379 |
Dual form | 693.2.m.k.64.8 |
$q$-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 \(\left(\mathbb{Z}/693\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(442\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.804651 | + | 2.47646i | 0.568974 | + | 1.75112i | 0.655838 | + | 0.754902i | \(0.272315\pi\) |
−0.0868638 | + | 0.996220i | \(0.527685\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −3.86736 | + | 2.80980i | −1.93368 | + | 1.40490i | ||||
\(5\) | −1.33452 | + | 4.10723i | −0.596815 | + | 1.83681i | −0.0513414 | + | 0.998681i | \(0.516350\pi\) |
−0.545474 | + | 0.838128i | \(0.683650\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.809017 | + | 0.587785i | −0.305780 | + | 0.222162i | ||||
\(8\) | −5.85703 | − | 4.25538i | −2.07077 | − | 1.50450i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −11.2452 | −3.55605 | ||||||||
\(11\) | 3.29379 | + | 0.388483i | 0.993116 | + | 0.117132i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.761506 | − | 2.34367i | −0.211204 | − | 0.650018i | −0.999401 | − | 0.0345961i | \(-0.988986\pi\) |
0.788198 | − | 0.615422i | \(-0.211014\pi\) | |||||||
\(14\) | −2.10660 | − | 1.53054i | −0.563013 | − | 0.409053i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.87102 | − | 8.83609i | 0.717755 | − | 2.20902i | ||||
\(17\) | −0.366661 | + | 1.12847i | −0.0889284 | + | 0.273694i | −0.985624 | − | 0.168955i | \(-0.945961\pi\) |
0.896695 | + | 0.442648i | \(0.145961\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.77243 | + | 2.01429i | 0.636039 | + | 0.462110i | 0.858487 | − | 0.512835i | \(-0.171405\pi\) |
−0.222448 | + | 0.974945i | \(0.571405\pi\) | |||||||
\(20\) | −6.37943 | − | 19.6339i | −1.42648 | − | 4.39027i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.68829 | + | 8.46954i | 0.359945 | + | 1.80571i | ||||
\(23\) | 8.32084 | 1.73501 | 0.867507 | − | 0.497425i | \(-0.165721\pi\) | ||||
0.867507 | + | 0.497425i | \(0.165721\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −11.0433 | − | 8.02343i | −2.20866 | − | 1.60469i | ||||
\(26\) | 5.19127 | − | 3.77168i | 1.01809 | − | 0.739687i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.47720 | − | 4.54635i | 0.279165 | − | 0.859180i | ||||
\(29\) | −1.17608 | + | 0.854470i | −0.218392 | + | 0.158671i | −0.691603 | − | 0.722278i | \(-0.743095\pi\) |
0.473211 | + | 0.880949i | \(0.343095\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.923391 | + | 2.84191i | 0.165846 | + | 0.510421i | 0.999098 | − | 0.0424725i | \(-0.0135235\pi\) |
−0.833252 | + | 0.552894i | \(0.813523\pi\) | |||||||
\(32\) | 9.71302 | 1.71704 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.08964 | −0.529869 | ||||||||
\(35\) | −1.33452 | − | 4.10723i | −0.225575 | − | 0.694249i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.13219 | + | 3.72875i | −0.843727 | + | 0.613003i | −0.923409 | − | 0.383817i | \(-0.874609\pi\) |
0.0796825 | + | 0.996820i | \(0.474609\pi\) | |||||||
\(38\) | −2.75747 | + | 8.48661i | −0.447320 | + | 1.37671i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 25.2941 | − | 18.3773i | 3.99936 | − | 2.90570i | ||||
\(41\) | 4.98751 | + | 3.62364i | 0.778918 | + | 0.565917i | 0.904654 | − | 0.426147i | \(-0.140129\pi\) |
−0.125736 | + | 0.992064i | \(0.540129\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.15289 | 0.480811 | 0.240406 | − | 0.970673i | \(-0.422720\pi\) | ||||
0.240406 | + | 0.970673i | \(0.422720\pi\) | |||||||
\(44\) | −13.8298 | + | 7.75250i | −2.08493 | + | 1.16873i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.69537 | + | 20.6062i | 0.987178 | + | 3.03822i | ||||
\(47\) | −7.06675 | − | 5.13430i | −1.03079 | − | 0.748914i | −0.0623247 | − | 0.998056i | \(-0.519851\pi\) |
−0.968467 | + | 0.249142i | \(0.919851\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.309017 | − | 0.951057i | 0.0441453 | − | 0.135865i | ||||
\(50\) | 10.9837 | − | 33.8044i | 1.55333 | − | 4.78066i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 9.53028 | + | 6.92415i | 1.32161 | + | 0.960207i | ||||
\(53\) | −2.06473 | − | 6.35457i | −0.283612 | − | 0.872868i | −0.986811 | − | 0.161875i | \(-0.948246\pi\) |
0.703199 | − | 0.710993i | \(-0.251754\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −5.99122 | + | 13.0099i | −0.807856 | + | 1.75426i | ||||
\(56\) | 7.23969 | 0.967444 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.06239 | − | 2.22496i | −0.402112 | − | 0.292151i | ||||
\(59\) | −9.50987 | + | 6.90932i | −1.23808 | + | 0.899517i | −0.997469 | − | 0.0711045i | \(-0.977348\pi\) |
−0.240610 | + | 0.970622i | \(0.577348\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.40078 | − | 7.38884i | 0.307388 | − | 0.946044i | −0.671387 | − | 0.741107i | \(-0.734301\pi\) |
0.978775 | − | 0.204937i | \(-0.0656989\pi\) | |||||||
\(62\) | −6.29486 | + | 4.57348i | −0.799448 | + | 0.580833i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 2.07355 | + | 6.38173i | 0.259194 | + | 0.797717i | ||||
\(65\) | 10.6423 | 1.32001 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.11080 | 0.380045 | 0.190022 | − | 0.981780i | \(-0.439144\pi\) | ||||
0.190022 | + | 0.981780i | \(0.439144\pi\) | |||||||
\(68\) | −1.75276 | − | 5.39443i | −0.212553 | − | 0.654171i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 9.09757 | − | 6.60977i | 1.08737 | − | 0.790019i | ||||
\(71\) | 1.69576 | − | 5.21901i | 0.201250 | − | 0.619383i | −0.798597 | − | 0.601866i | \(-0.794424\pi\) |
0.999847 | − | 0.0175166i | \(-0.00557599\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −7.00611 | + | 5.09024i | −0.820003 | + | 0.595767i | −0.916713 | − | 0.399545i | \(-0.869168\pi\) |
0.0967102 | + | 0.995313i | \(0.469168\pi\) | |||||||
\(74\) | −13.3637 | − | 9.70932i | −1.55350 | − | 1.12869i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −16.3817 | −1.87911 | ||||||||
\(77\) | −2.89308 | + | 1.62175i | −0.329697 | + | 0.184816i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.73036 | − | 8.40318i | −0.307189 | − | 0.945432i | −0.978851 | − | 0.204574i | \(-0.934419\pi\) |
0.671662 | − | 0.740858i | \(-0.265581\pi\) | |||||||
\(80\) | 32.4604 | + | 23.5839i | 3.62918 | + | 2.63676i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.96059 | + | 15.2671i | −0.547806 | + | 1.68597i | ||||
\(83\) | −2.98622 | + | 9.19065i | −0.327781 | + | 1.00881i | 0.642389 | + | 0.766379i | \(0.277943\pi\) |
−0.970170 | + | 0.242427i | \(0.922057\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.14556 | − | 3.01192i | −0.449649 | − | 0.326689i | ||||
\(86\) | 2.53698 | + | 7.80801i | 0.273569 | + | 0.841959i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −17.6387 | − | 16.2917i | −1.88029 | − | 1.73670i | ||||
\(89\) | 0.985558 | 0.104469 | 0.0522345 | − | 0.998635i | \(-0.483366\pi\) | ||||
0.0522345 | + | 0.998635i | \(0.483366\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.99365 | + | 1.44847i | 0.208991 | + | 0.151841i | ||||
\(92\) | −32.1797 | + | 23.3799i | −3.35496 | + | 2.43752i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 7.02861 | − | 21.6318i | 0.724946 | − | 2.23115i | ||||
\(95\) | −11.9730 | + | 8.69890i | −1.22840 | + | 0.892488i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.15458 | + | 6.63113i | 0.218765 | + | 0.673289i | 0.998865 | + | 0.0476341i | \(0.0151681\pi\) |
−0.780100 | + | 0.625655i | \(0.784832\pi\) | |||||||
\(98\) | 2.60390 | 0.263034 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 65.2527 | 6.52527 | ||||||||
\(101\) | 5.15771 | + | 15.8738i | 0.513212 | + | 1.57950i | 0.786512 | + | 0.617575i | \(0.211885\pi\) |
−0.273300 | + | 0.961929i | \(0.588115\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −9.36699 | + | 6.80552i | −0.922957 | + | 0.670568i | −0.944258 | − | 0.329205i | \(-0.893219\pi\) |
0.0213010 | + | 0.999773i | \(0.493219\pi\) | |||||||
\(104\) | −5.51306 | + | 16.9675i | −0.540600 | + | 1.66380i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 14.0755 | − | 10.2264i | 1.36713 | − | 0.993278i | ||||
\(107\) | 4.86693 | + | 3.53603i | 0.470504 | + | 0.341841i | 0.797638 | − | 0.603137i | \(-0.206083\pi\) |
−0.327134 | + | 0.944978i | \(0.606083\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 6.68101 | 0.639924 | 0.319962 | − | 0.947430i | \(-0.396330\pi\) | ||||
0.319962 | + | 0.947430i | \(0.396330\pi\) | |||||||
\(110\) | −37.0394 | − | 4.36857i | −3.53157 | − | 0.416527i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 2.87102 | + | 8.83609i | 0.271286 | + | 0.834932i | ||||
\(113\) | 15.1738 | + | 11.0244i | 1.42743 | + | 1.03709i | 0.990488 | + | 0.137596i | \(0.0439375\pi\) |
0.436939 | + | 0.899491i | \(0.356063\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −11.1043 | + | 34.1756i | −1.03548 | + | 3.18689i | ||||
\(116\) | 2.14742 | − | 6.60909i | 0.199383 | − | 0.613638i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −24.7628 | − | 17.9912i | −2.27960 | − | 1.65623i | ||||
\(119\) | −0.366661 | − | 1.12847i | −0.0336118 | − | 0.103446i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.6982 | + | 2.55917i | 0.972560 | + | 0.232651i | ||||
\(122\) | 20.2300 | 1.83153 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −11.5563 | − | 8.39613i | −1.03778 | − | 0.753994i | ||||
\(125\) | 30.2225 | − | 21.9579i | 2.70318 | − | 1.96398i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.979590 | − | 3.01487i | 0.0869246 | − | 0.267526i | −0.898141 | − | 0.439709i | \(-0.855082\pi\) |
0.985065 | + | 0.172182i | \(0.0550818\pi\) | |||||||
\(128\) | 1.58037 | − | 1.14821i | 0.139686 | − | 0.101488i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 8.56330 | + | 26.3551i | 0.751051 | + | 2.31150i | ||||
\(131\) | 7.83376 | 0.684439 | 0.342220 | − | 0.939620i | \(-0.388821\pi\) | ||||
0.342220 | + | 0.939620i | \(0.388821\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.42691 | −0.297151 | ||||||||
\(134\) | 2.50311 | + | 7.70377i | 0.216236 | + | 0.665505i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 6.94960 | − | 5.04918i | 0.595924 | − | 0.432964i | ||||
\(137\) | 2.22097 | − | 6.83545i | 0.189750 | − | 0.583992i | −0.810247 | − | 0.586088i | \(-0.800667\pi\) |
0.999998 | + | 0.00209625i | \(0.000667256\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.72478 | + | 1.97967i | −0.231113 | + | 0.167913i | −0.697315 | − | 0.716765i | \(-0.745622\pi\) |
0.466202 | + | 0.884678i | \(0.345622\pi\) | |||||||
\(140\) | 16.7016 | + | 12.1344i | 1.41154 | + | 1.02554i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 14.2892 | 1.19912 | ||||||||
\(143\) | −1.59777 | − | 8.01541i | −0.133612 | − | 0.670283i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1.94001 | − | 5.97073i | −0.161109 | − | 0.495842i | ||||
\(146\) | −18.2432 | − | 13.2545i | −1.50982 | − | 1.09695i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 9.37096 | − | 28.8409i | 0.770288 | − | 2.37070i | ||||
\(149\) | −5.75496 | + | 17.7120i | −0.471465 | + | 1.45102i | 0.379201 | + | 0.925314i | \(0.376199\pi\) |
−0.850666 | + | 0.525706i | \(0.823801\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.6697 | − | 8.47850i | −0.949663 | − | 0.689971i | 0.00106385 | − | 0.999999i | \(-0.499661\pi\) |
−0.950727 | + | 0.310029i | \(0.899661\pi\) | |||||||
\(152\) | −7.66664 | − | 23.5955i | −0.621847 | − | 1.91385i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −6.34413 | − | 5.85965i | −0.511225 | − | 0.472184i | ||||
\(155\) | −12.9046 | −1.03653 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.29957 | − | 3.12382i | −0.343143 | − | 0.249308i | 0.402844 | − | 0.915269i | \(-0.368022\pi\) |
−0.745987 | + | 0.665961i | \(0.768022\pi\) | |||||||
\(158\) | 18.6132 | − | 13.5233i | 1.48078 | − | 1.07585i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −12.9622 | + | 39.8936i | −1.02475 | + | 3.15387i | ||||
\(161\) | −6.73170 | + | 4.89087i | −0.530532 | + | 0.385454i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.280072 | + | 0.861973i | 0.0219369 | + | 0.0675149i | 0.961426 | − | 0.275065i | \(-0.0886993\pi\) |
−0.939489 | + | 0.342580i | \(0.888699\pi\) | |||||||
\(164\) | −29.4702 | −2.30123 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −25.1632 | −1.95304 | ||||||||
\(167\) | 3.59801 | + | 11.0735i | 0.278422 | + | 0.856896i | 0.988294 | + | 0.152564i | \(0.0487531\pi\) |
−0.709871 | + | 0.704332i | \(0.751247\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.60430 | − | 4.07176i | 0.431100 | − | 0.313213i | ||||
\(170\) | 4.12318 | − | 12.6899i | 0.316234 | − | 0.973268i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −12.1934 | + | 8.85899i | −0.929735 | + | 0.675492i | ||||
\(173\) | 5.54210 | + | 4.02657i | 0.421358 | + | 0.306135i | 0.778184 | − | 0.628036i | \(-0.216141\pi\) |
−0.356826 | + | 0.934171i | \(0.616141\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 13.6503 | 1.03186 | ||||||||
\(176\) | 12.8892 | − | 27.9889i | 0.971561 | − | 2.10974i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.793030 | + | 2.44070i | 0.0594401 | + | 0.182938i | ||||
\(179\) | 6.80593 | + | 4.94480i | 0.508699 | + | 0.369592i | 0.812330 | − | 0.583198i | \(-0.198199\pi\) |
−0.303631 | + | 0.952790i | \(0.598199\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.02613 | − | 12.3912i | 0.299260 | − | 0.921028i | −0.682497 | − | 0.730888i | \(-0.739106\pi\) |
0.981757 | − | 0.190140i | \(-0.0608940\pi\) | |||||||
\(182\) | −1.98289 | + | 6.10270i | −0.146982 | + | 0.452363i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −48.7354 | − | 35.4083i | −3.59282 | − | 2.61034i | ||||
\(185\) | −8.46584 | − | 26.0552i | −0.622421 | − | 1.91561i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.64610 | + | 3.57450i | −0.120375 | + | 0.261393i | ||||
\(188\) | 41.7560 | 3.04537 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −31.1766 | − | 22.6511i | −2.26179 | − | 1.64328i | ||||
\(191\) | −2.79720 | + | 2.03229i | −0.202399 | + | 0.147051i | −0.684368 | − | 0.729137i | \(-0.739922\pi\) |
0.481969 | + | 0.876188i | \(0.339922\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 5.26789 | − | 16.2129i | 0.379191 | − | 1.16703i | −0.561417 | − | 0.827533i | \(-0.689743\pi\) |
0.940607 | − | 0.339496i | \(-0.110257\pi\) | |||||||
\(194\) | −14.6880 | + | 10.6715i | −1.05454 | + | 0.766168i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.47720 | + | 4.54635i | 0.105514 | + | 0.324740i | ||||
\(197\) | −3.47970 | −0.247918 | −0.123959 | − | 0.992287i | \(-0.539559\pi\) | ||||
−0.123959 | + | 0.992287i | \(0.539559\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 8.20279 | 0.581481 | 0.290740 | − | 0.956802i | \(-0.406098\pi\) | ||||
0.290740 | + | 0.956802i | \(0.406098\pi\) | |||||||
\(200\) | 30.5382 | + | 93.9869i | 2.15938 | + | 6.64588i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −35.1607 | + | 25.5458i | −2.47390 | + | 1.79739i | ||||
\(203\) | 0.449222 | − | 1.38256i | 0.0315292 | − | 0.0970368i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −21.5390 | + | 15.6490i | −1.50435 | + | 1.09298i | ||||
\(206\) | −24.3908 | − | 17.7209i | −1.69938 | − | 1.23468i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −22.8952 | −1.58750 | ||||||||
\(209\) | 8.34930 | + | 7.71169i | 0.577533 | + | 0.533429i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 6.86611 | + | 21.1317i | 0.472683 | + | 1.45477i | 0.849058 | + | 0.528300i | \(0.177170\pi\) |
−0.376375 | + | 0.926467i | \(0.622830\pi\) | |||||||
\(212\) | 25.8401 | + | 18.7739i | 1.77471 | + | 1.28940i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −4.84067 | + | 14.8980i | −0.330901 | + | 1.01841i | ||||
\(215\) | −4.20759 | + | 12.9496i | −0.286955 | + | 0.883158i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.41747 | − | 1.75639i | −0.164109 | − | 0.119232i | ||||
\(218\) | 5.37588 | + | 16.5453i | 0.364100 | + | 1.12059i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −13.3851 | − | 67.1482i | −0.902424 | − | 4.52713i | ||||
\(221\) | 2.92397 | 0.196688 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −17.6651 | − | 12.8345i | −1.18294 | − | 0.859459i | −0.190444 | − | 0.981698i | \(-0.560993\pi\) |
−0.992501 | + | 0.122239i | \(0.960993\pi\) | |||||||
\(224\) | −7.85800 | + | 5.70917i | −0.525035 | + | 0.381460i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −15.0919 | + | 46.4480i | −1.00390 | + | 3.08968i | ||||
\(227\) | 19.7164 | − | 14.3248i | 1.30862 | − | 0.950771i | 0.308624 | − | 0.951184i | \(-0.400132\pi\) |
1.00000 | 0.000413245i | \(0.000131540\pi\) | ||||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.797689 | − | 2.45503i | −0.0527127 | − | 0.162233i | 0.921235 | − | 0.389008i | \(-0.127182\pi\) |
−0.973947 | + | 0.226774i | \(0.927182\pi\) | |||||||
\(230\) | −93.5696 | −6.16980 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 10.5244 | 0.690962 | ||||||||
\(233\) | −4.40489 | − | 13.5569i | −0.288574 | − | 0.888140i | −0.985305 | − | 0.170807i | \(-0.945363\pi\) |
0.696730 | − | 0.717333i | \(-0.254637\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 30.5185 | − | 22.1730i | 1.99080 | − | 1.44640i | ||||
\(236\) | 17.3643 | − | 53.4417i | 1.13032 | − | 3.47876i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.49957 | − | 1.81604i | 0.162023 | − | 0.117717i | ||||
\(239\) | 8.93861 | + | 6.49428i | 0.578191 | + | 0.420080i | 0.838071 | − | 0.545561i | \(-0.183683\pi\) |
−0.259881 | + | 0.965641i | \(0.583683\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −11.0131 | −0.709419 | −0.354709 | − | 0.934977i | \(-0.615420\pi\) | ||||
−0.354709 | + | 0.934977i | \(0.615420\pi\) | |||||||
\(242\) | 2.27061 | + | 28.5528i | 0.145960 | + | 1.83544i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 11.4765 | + | 35.3210i | 0.734707 | + | 2.26120i | ||||
\(245\) | 3.49382 | + | 2.53841i | 0.223212 | + | 0.162173i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.60961 | − | 8.03157i | 0.166046 | − | 0.511036i | ||||
\(248\) | 6.68506 | − | 20.5745i | 0.424502 | − | 1.30648i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 78.6965 | + | 57.1764i | 4.97720 | + | 3.61615i | ||||
\(251\) | −3.49099 | − | 10.7441i | −0.220349 | − | 0.678165i | −0.998730 | − | 0.0503730i | \(-0.983959\pi\) |
0.778381 | − | 0.627792i | \(-0.216041\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 27.4071 | + | 3.23250i | 1.72307 | + | 0.203226i | ||||
\(254\) | 8.25443 | 0.517929 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 14.9724 | + | 10.8781i | 0.935774 | + | 0.679880i | ||||
\(257\) | −4.13397 | + | 3.00350i | −0.257870 | + | 0.187353i | −0.709207 | − | 0.705000i | \(-0.750947\pi\) |
0.451338 | + | 0.892353i | \(0.350947\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.96032 | − | 6.03325i | 0.121808 | − | 0.374888i | ||||
\(260\) | −41.1574 | + | 29.9026i | −2.55247 | + | 1.85448i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 6.30344 | + | 19.4000i | 0.389428 | + | 1.19854i | ||||
\(263\) | −6.56589 | −0.404870 | −0.202435 | − | 0.979296i | \(-0.564885\pi\) | ||||
−0.202435 | + | 0.979296i | \(0.564885\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 28.8551 | 1.77256 | ||||||||
\(266\) | −2.75747 | − | 8.48661i | −0.169071 | − | 0.520348i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −12.0306 | + | 8.74073i | −0.734885 | + | 0.533925i | ||||
\(269\) | −3.58748 | + | 11.0411i | −0.218732 | + | 0.673189i | 0.780135 | + | 0.625611i | \(0.215150\pi\) |
−0.998868 | + | 0.0475779i | \(0.984850\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 11.8705 | − | 8.62444i | 0.721083 | − | 0.523897i | −0.165647 | − | 0.986185i | \(-0.552971\pi\) |
0.886730 | + | 0.462288i | \(0.152971\pi\) | |||||||
\(272\) | 8.91855 | + | 6.47970i | 0.540766 | + | 0.392890i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 18.7148 | 1.13060 | ||||||||
\(275\) | −33.2574 | − | 30.7177i | −2.00550 | − | 1.85235i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −7.19248 | − | 22.1362i | −0.432154 | − | 1.33003i | −0.895975 | − | 0.444105i | \(-0.853522\pi\) |
0.463820 | − | 0.885929i | \(-0.346478\pi\) | |||||||
\(278\) | −7.09507 | − | 5.15487i | −0.425534 | − | 0.309169i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −9.66150 | + | 29.7351i | −0.577385 | + | 1.77701i | ||||
\(281\) | −3.15549 | + | 9.71160i | −0.188241 | + | 0.579345i | −0.999989 | − | 0.00466199i | \(-0.998516\pi\) |
0.811748 | + | 0.584007i | \(0.198516\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 5.19055 | + | 3.77115i | 0.308546 | + | 0.224172i | 0.731272 | − | 0.682086i | \(-0.238927\pi\) |
−0.422726 | + | 0.906257i | \(0.638927\pi\) | |||||||
\(284\) | 8.10627 | + | 24.9485i | 0.481019 | + | 1.48042i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 18.5642 | − | 10.4064i | 1.09772 | − | 0.615344i | ||||
\(287\) | −6.16490 | −0.363902 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 12.6143 | + | 9.16482i | 0.742017 | + | 0.539107i | ||||
\(290\) | 13.2252 | − | 9.60870i | 0.776613 | − | 0.564242i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 12.7926 | − | 39.3716i | 0.748630 | − | 2.30405i | ||||
\(293\) | −12.7704 | + | 9.27824i | −0.746055 | + | 0.542040i | −0.894601 | − | 0.446865i | \(-0.852540\pi\) |
0.148547 | + | 0.988905i | \(0.452540\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −15.6871 | − | 48.2798i | −0.913337 | − | 2.81096i | ||||
\(296\) | 45.9266 | 2.66943 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −48.4937 | −2.80916 | ||||||||
\(299\) | −6.33637 | − | 19.5013i | −0.366442 | − | 1.12779i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.55074 | + | 1.85322i | −0.147022 | + | 0.106818i | ||||
\(302\) | 11.6067 | − | 35.7217i | 0.667889 | − | 2.05555i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 25.7581 | − | 18.7144i | 1.47733 | − | 1.07334i | ||||
\(305\) | 27.1438 | + | 19.7211i | 1.55425 | + | 1.12923i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 17.4204 | 0.994235 | 0.497117 | − | 0.867683i | \(-0.334392\pi\) | ||||
0.497117 | + | 0.867683i | \(0.334392\pi\) | |||||||
\(308\) | 6.63177 | − | 14.4009i | 0.377880 | − | 0.820567i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −10.3837 | − | 31.9578i | −0.589756 | − | 1.81508i | ||||
\(311\) | −10.6750 | − | 7.75584i | −0.605323 | − | 0.439793i | 0.242441 | − | 0.970166i | \(-0.422052\pi\) |
−0.847764 | + | 0.530373i | \(0.822052\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 5.56661 | − | 17.1323i | 0.314644 | − | 0.968373i | −0.661257 | − | 0.750159i | \(-0.729977\pi\) |
0.975901 | − | 0.218214i | \(-0.0700232\pi\) | |||||||
\(314\) | 4.27637 | − | 13.1613i | 0.241329 | − | 0.742736i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 34.1705 | + | 24.8264i | 1.92224 | + | 1.39659i | ||||
\(317\) | −2.07176 | − | 6.37621i | −0.116361 | − | 0.358124i | 0.875867 | − | 0.482552i | \(-0.160290\pi\) |
−0.992229 | + | 0.124429i | \(0.960290\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.20570 | + | 2.35756i | −0.235474 | + | 0.131998i | ||||
\(320\) | −28.9784 | −1.61994 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −17.5287 | − | 12.7353i | −0.976836 | − | 0.709713i | ||||
\(323\) | −3.28960 | + | 2.39004i | −0.183038 | + | 0.132985i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −10.3948 | + | 31.9918i | −0.576598 | + | 1.77459i | ||||
\(326\) | −1.90928 | + | 1.38717i | −0.105745 | + | 0.0768285i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −13.7920 | − | 42.4475i | −0.761537 | − | 2.34377i | ||||
\(329\) | 8.73499 | 0.481575 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3.96252 | 0.217800 | 0.108900 | − | 0.994053i | \(-0.465267\pi\) | ||||
0.108900 | + | 0.994053i | \(0.465267\pi\) | |||||||
\(332\) | −14.2751 | − | 43.9343i | −0.783448 | − | 2.41121i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −24.5280 | + | 17.8207i | −1.34211 | + | 0.975103i | ||||
\(335\) | −4.15142 | + | 12.7768i | −0.226817 | + | 0.698069i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 9.91886 | − | 7.20647i | 0.540315 | − | 0.392562i | −0.283887 | − | 0.958858i | \(-0.591624\pi\) |
0.824202 | + | 0.566296i | \(0.191624\pi\) | |||||||
\(338\) | 14.5931 | + | 10.6025i | 0.793758 | + | 0.576699i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 24.4953 | 1.32844 | ||||||||
\(341\) | 1.93743 | + | 9.71937i | 0.104918 | + | 0.526334i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0.309017 | + | 0.951057i | 0.0166853 | + | 0.0513522i | ||||
\(344\) | −18.4666 | − | 13.4167i | −0.995651 | − | 0.723382i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −5.51219 | + | 16.9648i | −0.296337 | + | 0.912033i | ||||
\(347\) | −3.53014 | + | 10.8647i | −0.189508 | + | 0.583245i | −0.999997 | − | 0.00250851i | \(-0.999202\pi\) |
0.810489 | + | 0.585754i | \(0.199202\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 23.6506 | + | 17.1832i | 1.26599 | + | 0.919796i | 0.999035 | − | 0.0439135i | \(-0.0139826\pi\) |
0.266955 | + | 0.963709i | \(0.413983\pi\) | |||||||
\(350\) | 10.9837 | + | 33.8044i | 0.587104 | + | 1.80692i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 31.9927 | + | 3.77334i | 1.70522 | + | 0.201120i | ||||
\(353\) | 7.76081 | 0.413066 | 0.206533 | − | 0.978440i | \(-0.433782\pi\) | ||||
0.206533 | + | 0.978440i | \(0.433782\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 19.1727 | + | 13.9298i | 1.01758 | + | 0.739314i | ||||
\(356\) | −3.81151 | + | 2.76922i | −0.202009 | + | 0.146768i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −6.76920 | + | 20.8335i | −0.357763 | + | 1.10108i | ||||
\(359\) | −24.2457 | + | 17.6155i | −1.27964 | + | 0.929712i | −0.999542 | − | 0.0302604i | \(-0.990366\pi\) |
−0.280096 | + | 0.959972i | \(0.590366\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −2.24231 | − | 6.90112i | −0.118016 | − | 0.363217i | ||||
\(362\) | 33.9259 | 1.78310 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −11.7801 | −0.617443 | ||||||||
\(365\) | −11.5570 | − | 35.5687i | −0.604920 | − | 1.86175i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2.49751 | − | 1.81455i | 0.130369 | − | 0.0947187i | −0.520690 | − | 0.853746i | \(-0.674325\pi\) |
0.651059 | + | 0.759027i | \(0.274325\pi\) | |||||||
\(368\) | 23.8893 | − | 73.5237i | 1.24531 | − | 3.83269i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 57.7126 | − | 41.9306i | 3.00033 | − | 2.17987i | ||||
\(371\) | 5.40552 | + | 3.92734i | 0.280641 | + | 0.203897i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 29.2948 | 1.51683 | 0.758413 | − | 0.651774i | \(-0.225975\pi\) | ||||
0.758413 | + | 0.651774i | \(0.225975\pi\) | |||||||
\(374\) | −10.1766 | − | 1.20027i | −0.526221 | − | 0.0620646i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 19.5418 | + | 60.1434i | 1.00779 | + | 3.10166i | ||||
\(377\) | 2.89819 | + | 2.10566i | 0.149264 | + | 0.108447i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.84753 | − | 14.9192i | 0.249001 | − | 0.766346i | −0.745952 | − | 0.666000i | \(-0.768005\pi\) |
0.994953 | − | 0.100346i | \(-0.0319950\pi\) | |||||||
\(380\) | 21.8618 | − | 67.2835i | 1.12148 | − | 3.45157i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −7.28365 | − | 5.29188i | −0.372664 | − | 0.270756i | ||||
\(383\) | 2.48323 | + | 7.64260i | 0.126887 | + | 0.390518i | 0.994240 | − | 0.107175i | \(-0.0341805\pi\) |
−0.867353 | + | 0.497693i | \(0.834180\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.80004 | − | 14.0468i | −0.142703 | − | 0.715892i | ||||
\(386\) | 44.3894 | 2.25936 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −26.9647 | − | 19.5910i | −1.36892 | − | 0.994582i | ||||
\(389\) | 23.2895 | − | 16.9208i | 1.18082 | − | 0.857918i | 0.188559 | − | 0.982062i | \(-0.439618\pi\) |
0.992264 | + | 0.124143i | \(0.0396183\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.05093 | + | 9.38979i | −0.154292 | + | 0.474862i | ||||
\(392\) | −5.85703 | + | 4.25538i | −0.295825 | + | 0.214929i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −2.79994 | − | 8.61734i | −0.141059 | − | 0.434135i | ||||
\(395\) | 38.1575 | 1.91991 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −33.7315 | −1.69293 | −0.846467 | − | 0.532441i | \(-0.821275\pi\) | ||||
−0.846467 | + | 0.532441i | \(0.821275\pi\) | |||||||
\(398\) | 6.60038 | + | 20.3139i | 0.330847 | + | 1.01824i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −102.601 | + | 74.5442i | −5.13007 | + | 3.72721i | ||||
\(401\) | 0.285702 | − | 0.879301i | 0.0142673 | − | 0.0439102i | −0.943669 | − | 0.330890i | \(-0.892651\pi\) |
0.957937 | + | 0.286980i | \(0.0926512\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 5.95733 | − | 4.32826i | 0.296756 | − | 0.215606i | ||||
\(404\) | −64.5490 | − | 46.8976i | −3.21143 | − | 2.33324i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 3.78533 | 0.187863 | ||||||||
\(407\) | −18.3529 | + | 10.2880i | −0.909721 | + | 0.509956i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 7.97025 | + | 24.5299i | 0.394104 | + | 1.21293i | 0.929657 | + | 0.368425i | \(0.120103\pi\) |
−0.535554 | + | 0.844501i | \(0.679897\pi\) | |||||||
\(410\) | −56.0856 | − | 40.7486i | −2.76987 | − | 2.01243i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 17.1034 | − | 52.6388i | 0.842623 | − | 2.59333i | ||||
\(413\) | 3.63245 | − | 11.1795i | 0.178741 | − | 0.550108i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −33.7630 | − | 24.5302i | −1.65736 | − | 1.20414i | ||||
\(416\) | −7.39652 | − | 22.7642i | −0.362644 | − | 1.11610i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −12.3794 | + | 26.8819i | −0.605498 | + | 1.31484i | ||||
\(419\) | 9.41300 | 0.459855 | 0.229928 | − | 0.973208i | \(-0.426151\pi\) | ||||
0.229928 | + | 0.973208i | \(0.426151\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 23.7078 | + | 17.2247i | 1.15545 | + | 0.839483i | 0.989196 | − | 0.146600i | \(-0.0468332\pi\) |
0.166253 | + | 0.986083i | \(0.446833\pi\) | |||||||
\(422\) | −46.8070 | + | 34.0073i | −2.27853 | + | 1.65545i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −14.9480 | + | 46.0051i | −0.725937 | + | 2.23421i | ||||
\(425\) | 13.1033 | − | 9.52013i | 0.635605 | − | 0.461794i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 2.40078 | + | 7.38884i | 0.116182 | + | 0.357571i | ||||
\(428\) | −28.7577 | −1.39006 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −35.4549 | −1.70979 | ||||||||
\(431\) | 2.15592 | + | 6.63524i | 0.103847 | + | 0.319608i | 0.989458 | − | 0.144819i | \(-0.0462601\pi\) |
−0.885611 | + | 0.464428i | \(0.846260\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −1.07530 | + | 0.781251i | −0.0516756 | + | 0.0375445i | −0.613323 | − | 0.789832i | \(-0.710168\pi\) |
0.561648 | + | 0.827377i | \(0.310168\pi\) | |||||||
\(434\) | 2.40442 | − | 7.40005i | 0.115416 | − | 0.355214i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −25.8379 | + | 18.7723i | −1.23741 | + | 0.899030i | ||||
\(437\) | 23.0689 | + | 16.7606i | 1.10354 | + | 0.801767i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −3.63801 | −0.173633 | −0.0868163 | − | 0.996224i | \(-0.527669\pi\) | ||||
−0.0868163 | + | 0.996224i | \(0.527669\pi\) | |||||||
\(440\) | 90.4530 | − | 50.7046i | 4.31218 | − | 2.41725i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.35278 | + | 7.24111i | 0.111910 | + | 0.344424i | ||||
\(443\) | −10.8489 | − | 7.88216i | −0.515445 | − | 0.374493i | 0.299440 | − | 0.954115i | \(-0.403200\pi\) |
−0.814885 | + | 0.579622i | \(0.803200\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.31525 | + | 4.04791i | −0.0623487 | + | 0.191889i | ||||
\(446\) | 17.5698 | − | 54.0743i | 0.831954 | − | 2.56049i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −5.42863 | − | 3.94413i | −0.256479 | − | 0.186343i | ||||
\(449\) | 4.63503 | + | 14.2651i | 0.218740 | + | 0.673214i | 0.998867 | + | 0.0475920i | \(0.0151547\pi\) |
−0.780126 | + | 0.625622i | \(0.784845\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 15.0201 | + | 13.8731i | 0.707269 | + | 0.653258i | ||||
\(452\) | −89.6587 | −4.21719 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 51.3396 | + | 37.3004i | 2.40949 | + | 1.75060i | ||||
\(455\) | −8.60976 | + | 6.25536i | −0.403632 | + | 0.293256i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −6.09138 | + | 18.7473i | −0.284943 | + | 0.876963i | 0.701473 | + | 0.712696i | \(0.252526\pi\) |
−0.986416 | + | 0.164267i | \(0.947474\pi\) | |||||||
\(458\) | 5.43793 | − | 3.95089i | 0.254098 | − | 0.184613i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −53.0822 | − | 163.370i | −2.47497 | − | 7.61718i | ||||
\(461\) | 16.3627 | 0.762086 | 0.381043 | − | 0.924557i | \(-0.375565\pi\) | ||||
0.381043 | + | 0.924557i | \(0.375565\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −7.48587 | −0.347898 | −0.173949 | − | 0.984755i | \(-0.555653\pi\) | ||||
−0.173949 | + | 0.984755i | \(0.555653\pi\) | |||||||
\(464\) | 4.17363 | + | 12.8451i | 0.193756 | + | 0.596320i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 30.0286 | − | 21.8171i | 1.39105 | − | 1.01066i | ||||
\(467\) | −0.899306 | + | 2.76778i | −0.0416149 | + | 0.128078i | −0.969706 | − | 0.244277i | \(-0.921449\pi\) |
0.928091 | + | 0.372354i | \(0.121449\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −2.51669 | + | 1.82848i | −0.116210 | + | 0.0844315i | ||||
\(470\) | 79.4671 | + | 57.7363i | 3.66555 | + | 2.66317i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 85.1014 | 3.91711 | ||||||||
\(473\) | 10.3850 | + | 1.22484i | 0.477501 | + | 0.0563184i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −14.4553 | − | 44.4888i | −0.663254 | − | 2.04129i | ||||
\(476\) | 4.58878 | + | 3.33394i | 0.210326 | + | 0.152811i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −8.89037 | + | 27.3617i | −0.406636 | + | 1.25150i | ||||
\(479\) | −8.19737 | + | 25.2289i | −0.374547 | + | 1.15274i | 0.569236 | + | 0.822174i | \(0.307239\pi\) |
−0.943784 | + | 0.330564i | \(0.892761\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 12.6472 | + | 9.18871i | 0.576662 | + | 0.418969i | ||||
\(482\) | −8.86173 | − | 27.2736i | −0.403641 | − | 1.24228i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −48.5644 | + | 20.1625i | −2.20747 | + | 0.916477i | ||||
\(485\) | −30.1109 | −1.36727 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 2.27918 | + | 1.65592i | 0.103280 | + | 0.0750370i | 0.638226 | − | 0.769849i | \(-0.279668\pi\) |
−0.534947 | + | 0.844886i | \(0.679668\pi\) | |||||||
\(488\) | −45.5038 | + | 33.0604i | −2.05986 | + | 1.49657i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −3.47496 | + | 10.6948i | −0.156983 | + | 0.483143i | ||||
\(491\) | −4.59431 | + | 3.33796i | −0.207338 | + | 0.150640i | −0.686609 | − | 0.727027i | \(-0.740901\pi\) |
0.479270 | + | 0.877667i | \(0.340901\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.533020 | − | 1.64047i | −0.0240060 | − | 0.0738829i | ||||
\(494\) | 21.9897 | 0.989363 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 27.7624 | 1.24657 | ||||||||
\(497\) | 1.69576 | + | 5.21901i | 0.0760652 | + | 0.234105i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −28.5542 | + | 20.7458i | −1.27826 | + | 0.928711i | −0.999499 | − | 0.0316498i | \(-0.989924\pi\) |
−0.278761 | + | 0.960360i | \(0.589924\pi\) | |||||||
\(500\) | −55.1838 | + | 169.838i | −2.46790 | + | 7.59540i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 23.7984 | − | 17.2906i | 1.06218 | − | 0.771716i | ||||
\(503\) | −23.9962 | − | 17.4343i | −1.06994 | − | 0.777357i | −0.0940383 | − | 0.995569i | \(-0.529978\pi\) |
−0.975901 | + | 0.218212i | \(0.929978\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −72.0805 | −3.20754 | ||||||||
\(506\) | 14.0480 | + | 70.4737i | 0.624510 | + | 3.13294i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 4.68276 | + | 14.4120i | 0.207764 | + | 0.639431i | ||||
\(509\) | −3.81365 | − | 2.77078i | −0.169037 | − | 0.122813i | 0.500050 | − | 0.865996i | \(-0.333315\pi\) |
−0.669087 | + | 0.743184i | \(0.733315\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.67610 | − | 8.23618i | 0.118384 | − | 0.364347i | ||||
\(512\) | −13.6843 | + | 42.1159i | −0.604766 | + | 1.86128i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −10.7645 | − | 7.82084i | −0.474800 | − | 0.344962i | ||||
\(515\) | −15.4514 | − | 47.5545i | −0.680870 | − | 2.09550i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −21.2818 | − | 19.6566i | −0.935974 | − | 0.864497i | ||||
\(518\) | 16.5185 | 0.725780 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −62.3320 | − | 45.2868i | −2.73344 | − | 1.98596i | ||||
\(521\) | 18.3276 | − | 13.3158i | 0.802945 | − | 0.583374i | −0.108832 | − | 0.994060i | \(-0.534711\pi\) |
0.911777 | + | 0.410686i | \(0.134711\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −4.65181 | + | 14.3168i | −0.203410 | + | 0.626030i | 0.796365 | + | 0.604816i | \(0.206753\pi\) |
−0.999775 | + | 0.0212145i | \(0.993247\pi\) | |||||||
\(524\) | −30.2960 | + | 22.0113i | −1.32349 | + | 0.961569i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −5.28324 | − | 16.2602i | −0.230360 | − | 0.708976i | ||||
\(527\) | −3.54557 | −0.154447 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 46.2363 | 2.01027 | ||||||||
\(530\) | 23.2183 | + | 71.4585i | 1.00854 | + | 3.10396i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 13.2531 | − | 9.62894i | 0.574595 | − | 0.417468i | ||||
\(533\) | 4.69461 | − | 14.4485i | 0.203346 | − | 0.625835i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −21.0183 | + | 15.2707i | −0.908701 | + | 0.660210i | ||||
\(536\) | −18.2200 | − | 13.2376i | −0.786986 | − | 0.571779i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −30.2296 | −1.30329 | ||||||||
\(539\) | 1.38731 | − | 3.01254i | 0.0597556 | − | 0.129759i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 4.81257 | + | 14.8116i | 0.206908 | + | 0.636799i | 0.999630 | + | 0.0272144i | \(0.00866368\pi\) |
−0.792721 | + | 0.609584i | \(0.791336\pi\) | |||||||
\(542\) | 30.9097 | + | 22.4572i | 1.32769 | + | 0.964620i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −3.56139 | + | 10.9608i | −0.152693 | + | 0.469942i | ||||
\(545\) | −8.91594 | + | 27.4404i | −0.381917 | + | 1.17542i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −13.7287 | − | 9.97448i | −0.586997 | − | 0.426478i | 0.254243 | − | 0.967140i | \(-0.418174\pi\) |
−0.841240 | + | 0.540662i | \(0.818174\pi\) | |||||||
\(548\) | 10.6170 | + | 32.6756i | 0.453534 | + | 1.39583i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 49.3105 | − | 107.078i | 2.10261 | − | 4.56581i | ||||
\(551\) | −4.98174 | −0.212229 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 7.14817 | + | 5.19345i | 0.303971 | + | 0.220848i | ||||
\(554\) | 49.0320 | − | 35.6238i | 2.08317 | − | 1.51351i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 4.97523 | − | 15.3122i | 0.210997 | − | 0.649381i | ||||
\(557\) | 2.15143 | − | 1.56311i | 0.0911591 | − | 0.0662310i | −0.541272 | − | 0.840848i | \(-0.682057\pi\) |
0.632431 | + | 0.774617i | \(0.282057\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −2.40094 | − | 7.38935i | −0.101549 | − | 0.312536i | ||||
\(560\) | −40.1233 | −1.69552 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −26.5895 | −1.12161 | ||||||||
\(563\) | −4.65120 | − | 14.3149i | −0.196025 | − | 0.603302i | −0.999963 | − | 0.00858929i | \(-0.997266\pi\) |
0.803938 | − | 0.594712i | \(-0.202734\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −65.5294 | + | 47.6099i | −2.75684 | + | 2.00296i | ||||
\(566\) | −5.16253 | + | 15.8886i | −0.216997 | + | 0.667850i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −32.1410 | + | 23.3518i | −1.34861 | + | 0.979820i | ||||
\(569\) | −29.7320 | − | 21.6016i | −1.24643 | − | 0.905585i | −0.248422 | − | 0.968652i | \(-0.579912\pi\) |
−0.998009 | + | 0.0630667i | \(0.979912\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.56292 | −0.149104 | −0.0745519 | − | 0.997217i | \(-0.523753\pi\) | ||||
−0.0745519 | + | 0.997217i | \(0.523753\pi\) | |||||||
\(572\) | 28.7009 | + | 26.5091i | 1.20004 | + | 1.10840i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −4.96059 | − | 15.2671i | −0.207051 | − | 0.637238i | ||||
\(575\) | −91.8895 | − | 66.7617i | −3.83206 | − | 2.78415i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 6.09657 | − | 18.7633i | 0.253804 | − | 0.781127i | −0.740260 | − | 0.672321i | \(-0.765297\pi\) |
0.994063 | − | 0.108806i | \(-0.0347026\pi\) | |||||||
\(578\) | −12.5462 | + | 38.6133i | −0.521854 | + | 1.60610i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 24.2793 | + | 17.6399i | 1.00814 | + | 0.732458i | ||||
\(581\) | −2.98622 | − | 9.19065i | −0.123889 | − | 0.381293i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.33214 | − | 21.7328i | −0.179419 | − | 0.900079i | ||||
\(584\) | 62.6959 | 2.59437 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −33.2529 | − | 24.1596i | −1.37366 | − | 0.998026i | ||||
\(587\) | 6.75186 | − | 4.90551i | 0.278679 | − | 0.202472i | −0.439662 | − | 0.898163i | \(-0.644902\pi\) |
0.718341 | + | 0.695691i | \(0.244902\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −3.16438 | + | 9.73896i | −0.130386 | + | 0.401287i | ||||
\(590\) | 106.940 | − | 77.6968i | 4.40267 | − | 3.19873i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 18.2130 | + | 56.0538i | 0.748549 | + | 2.30380i | ||||
\(593\) | −15.7459 | −0.646605 | −0.323302 | − | 0.946296i | \(-0.604793\pi\) | ||||
−0.323302 | + | 0.946296i | \(0.604793\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.12419 | 0.210071 | ||||||||
\(596\) | −27.5106 | − | 84.6688i | −1.12688 | − | 3.46817i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 43.1957 | − | 31.3835i | 1.76640 | − | 1.28337i | ||||
\(599\) | 0.0131088 | − | 0.0403449i | 0.000535613 | − | 0.00164845i | −0.950788 | − | 0.309841i | \(-0.899724\pi\) |
0.951324 | + | 0.308193i | \(0.0997241\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.53155 | + | 2.56582i | −0.144055 | + | 0.104662i | −0.657479 | − | 0.753473i | \(-0.728377\pi\) |
0.513424 | + | 0.858135i | \(0.328377\pi\) | |||||||
\(602\) | −6.64189 | − | 4.82561i | −0.270703 | − | 0.196677i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 68.9537 | 2.80569 | ||||||||
\(605\) | −24.7880 | + | 40.5245i | −1.00778 | + | 1.64756i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −1.07067 | − | 3.29517i | −0.0434570 | − | 0.133747i | 0.926974 | − | 0.375126i | \(-0.122400\pi\) |
−0.970431 | + | 0.241379i | \(0.922400\pi\) | |||||||
\(608\) | 26.9287 | + | 19.5648i | 1.09210 | + | 0.793459i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −26.9973 | + | 83.0891i | −1.09309 | + | 3.36418i | ||||
\(611\) | −6.65174 | + | 20.4720i | −0.269101 | + | 0.828207i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −5.57773 | − | 4.05246i | −0.225282 | − | 0.163677i | 0.469419 | − | 0.882976i | \(-0.344463\pi\) |
−0.694701 | + | 0.719298i | \(0.744463\pi\) | |||||||
\(614\) | 14.0173 | + | 43.1409i | 0.565694 | + | 1.74103i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 23.8460 | + | 2.81249i | 0.960784 | + | 0.113319i | ||||
\(617\) | 13.8954 | 0.559409 | 0.279705 | − | 0.960086i | \(-0.409763\pi\) | ||||
0.279705 | + | 0.960086i | \(0.409763\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 24.8153 | + | 18.0294i | 0.997412 | + | 0.724662i | 0.961532 | − | 0.274694i | \(-0.0885766\pi\) |
0.0358799 | + | 0.999356i | \(0.488577\pi\) | |||||||
\(620\) | 49.9069 | − | 36.2595i | 2.00431 | − | 1.45622i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 10.6174 | − | 32.6769i | 0.425718 | − | 1.31023i | ||||
\(623\) | −0.797333 | + | 0.579296i | −0.0319445 | + | 0.0232090i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 28.7629 | + | 88.5231i | 1.15052 | + | 3.54092i | ||||
\(626\) | 46.9066 | 1.87476 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 25.4053 | 1.01378 | ||||||||
\(629\) | −2.32600 | − | 7.15870i | −0.0927438 | − | 0.285436i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 36.5976 | − | 26.5897i | 1.45693 | − | 1.05852i | 0.472777 | − | 0.881182i | \(-0.343252\pi\) |
0.984150 | − | 0.177337i | \(-0.0567484\pi\) | |||||||
\(632\) | −19.7669 | + | 60.8364i | −0.786287 | + | 2.41994i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 14.1234 | − | 10.2612i | 0.560912 | − | 0.407526i | ||||
\(635\) | 11.0755 | + | 8.04681i | 0.439517 | + | 0.319328i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2.46429 | −0.0976385 | ||||||||
\(638\) | −9.22253 | − | 8.51824i | −0.365124 | − | 0.337241i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 2.60691 | + | 8.02325i | 0.103047 | + | 0.317147i | ||||
\(641\) | −13.0279 | − | 9.46530i | −0.514570 | − | 0.373857i | 0.299985 | − | 0.953944i | \(-0.403018\pi\) |
−0.814554 | + | 0.580087i | \(0.803018\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 15.2454 | − | 46.9206i | 0.601220 | − | 1.85037i | 0.0802813 | − | 0.996772i | \(-0.474418\pi\) |
0.520939 | − | 0.853594i | \(-0.325582\pi\) | |||||||
\(644\) | 12.2915 | − | 37.8295i | 0.484354 | − | 1.49069i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −8.56581 | − | 6.22342i | −0.337017 | − | 0.244857i | ||||
\(647\) | −10.8350 | − | 33.3467i | −0.425968 | − | 1.31100i | −0.902064 | − | 0.431602i | \(-0.857948\pi\) |
0.476096 | − | 0.879393i | \(-0.342052\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −34.0077 | + | 19.0635i | −1.33492 | + | 0.748307i | ||||
\(650\) | −87.5906 | −3.43559 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −3.50511 | − | 2.54661i | −0.137271 | − | 0.0997330i | ||||
\(653\) | 20.1089 | − | 14.6100i | 0.786921 | − | 0.571732i | −0.120127 | − | 0.992759i | \(-0.538330\pi\) |
0.907048 | + | 0.421027i | \(0.138330\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −10.4543 | + | 32.1751i | −0.408484 | + | 1.25718i | ||||
\(656\) | 46.3380 | − | 33.6665i | 1.80920 | − | 1.31446i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 7.02861 | + | 21.6318i | 0.274004 | + | 0.843297i | ||||
\(659\) | 12.3854 | 0.482468 | 0.241234 | − | 0.970467i | \(-0.422448\pi\) | ||||
0.241234 | + | 0.970467i | \(0.422448\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −39.9739 | −1.55480 | −0.777402 | − | 0.629004i | \(-0.783463\pi\) | ||||
−0.777402 | + | 0.629004i | \(0.783463\pi\) | |||||||
\(662\) | 3.18844 | + | 9.81301i | 0.123922 | + | 0.381394i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 56.6001 | − | 41.1224i | 2.19651 | − | 1.59586i | ||||
\(665\) | 4.57328 | − | 14.0751i | 0.177344 | − | 0.545810i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −9.78595 | + | 7.10991i | −0.378913 | + | 0.275297i | ||||
\(668\) | −45.0292 | − | 32.7157i | −1.74223 | − | 1.26581i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −34.9816 | −1.35146 | ||||||||
\(671\) | 10.7781 | − | 23.4047i | 0.416084 | − | 0.903527i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −2.57016 | − | 7.91013i | −0.0990722 | − | 0.304913i | 0.889221 | − | 0.457477i | \(-0.151247\pi\) |
−0.988294 | + | 0.152564i | \(0.951247\pi\) | |||||||
\(674\) | 25.8278 | + | 18.7650i | 0.994848 | + | 0.722800i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −10.2330 | + | 31.4940i | −0.393577 | + | 1.21131i | ||||
\(677\) | 9.49217 | − | 29.2139i | 0.364814 | − | 1.12278i | −0.585284 | − | 0.810828i | \(-0.699017\pi\) |
0.950098 | − | 0.311953i | \(-0.100983\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −5.64077 | − | 4.09826i | −0.216473 | − | 0.157277i | ||||
\(680\) | 11.4638 | + | 35.2819i | 0.439615 | + | 1.35300i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −22.5107 | + | 12.6187i | −0.861979 | + | 0.483194i | ||||
\(683\) | 13.9802 | 0.534936 | 0.267468 | − | 0.963567i | \(-0.413813\pi\) | ||||
0.267468 | + | 0.963567i | \(0.413813\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 25.1108 | + | 18.2441i | 0.959435 | + | 0.697071i | ||||
\(686\) | −2.10660 | + | 1.53054i | −0.0804305 | + | 0.0584362i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 9.05201 | − | 27.8592i | 0.345105 | − | 1.06212i | ||||
\(689\) | −13.3207 | + | 9.67809i | −0.507480 | + | 0.368706i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 8.75941 | + | 26.9587i | 0.333224 | + | 1.02556i | 0.967590 | + | 0.252525i | \(0.0812609\pi\) |
−0.634367 | + | 0.773032i | \(0.718739\pi\) | |||||||
\(692\) | −32.7472 | −1.24486 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −29.7464 | −1.12916 | ||||||||
\(695\) | −4.49468 | − | 13.8332i | −0.170493 | − | 0.524724i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −5.91788 | + | 4.29959i | −0.224156 | + | 0.162859i | ||||
\(698\) | −23.5230 | + | 72.3964i | −0.890359 | + | 2.74024i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −52.7905 | + | 38.3546i | −1.99529 | + | 1.44967i | ||||
\(701\) | 10.5288 | + | 7.64965i | 0.397669 | + | 0.288923i | 0.768591 | − | 0.639741i | \(-0.220958\pi\) |
−0.370922 | + | 0.928664i | \(0.620958\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −21.7394 | −0.819918 | ||||||||
\(704\) | 4.35066 | + | 21.8257i | 0.163972 | + | 0.822586i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 6.24474 | + | 19.2193i | 0.235024 | + | 0.723329i | ||||
\(707\) | −13.5031 | − | 9.81056i | −0.507835 | − | 0.368964i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 6.95736 | − | 21.4126i | 0.261289 | − | 0.804165i | −0.731236 | − | 0.682125i | \(-0.761056\pi\) |
0.992525 | − | 0.122041i | \(-0.0389439\pi\) | |||||||
\(710\) | −19.0692 | + | 58.6889i | −0.715654 | + | 2.20256i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −5.77244 | − | 4.19392i | −0.216331 | − | 0.157174i | ||||
\(713\) | 7.68339 | + | 23.6470i | 0.287745 | + | 0.885588i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 35.0534 | + | 4.13433i | 1.31092 | + | 0.154615i | ||||
\(716\) | −40.2149 | −1.50290 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −63.1334 | − | 45.8691i | −2.35612 | − | 1.71182i | ||||
\(719\) | −10.8878 | + | 7.91043i | −0.406045 | + | 0.295009i | −0.771999 | − | 0.635624i | \(-0.780743\pi\) |
0.365954 | + | 0.930633i | \(0.380743\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.57787 | − | 11.0116i | 0.133247 | − | 0.410092i | ||||
\(722\) | 15.2861 | − | 11.1060i | 0.568889 | − | 0.413322i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 19.2462 | + | 59.2337i | 0.715279 | + | 2.20140i | ||||
\(725\) | 19.8436 | 0.736971 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −25.2856 | −0.937793 | −0.468896 | − | 0.883253i | \(-0.655348\pi\) | ||||
−0.468896 | + | 0.883253i | \(0.655348\pi\) | |||||||
\(728\) | −5.51306 | − | 16.9675i | −0.204328 | − | 0.628856i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 78.7852 | − | 57.2408i | 2.91597 | − | 2.11858i | ||||
\(731\) | −1.15604 | + | 3.55793i | −0.0427578 | + | 0.131595i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 33.0519 | − | 24.0136i | 1.22080 | − | 0.886963i | 0.224634 | − | 0.974443i | \(-0.427881\pi\) |
0.996166 | + | 0.0874801i | \(0.0278814\pi\) | |||||||
\(734\) | 6.50329 | + | 4.72492i | 0.240041 | + | 0.174400i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 80.8205 | 2.97908 | ||||||||
\(737\) | 10.2463 | + | 1.20849i | 0.377429 | + | 0.0445154i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 11.5303 | + | 35.4866i | 0.424149 | + | 1.30540i | 0.903807 | + | 0.427940i | \(0.140761\pi\) |
−0.479658 | + | 0.877455i | \(0.659239\pi\) | |||||||
\(740\) | 105.950 | + | 76.9774i | 3.89481 | + | 2.82975i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −5.37635 | + | 16.5467i | −0.197372 | + | 0.607448i | ||||
\(743\) | −12.3554 | + | 38.0261i | −0.453277 | + | 1.39504i | 0.419869 | + | 0.907585i | \(0.362076\pi\) |
−0.873146 | + | 0.487459i | \(0.837924\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −65.0670 | − | 47.2739i | −2.38387 | − | 1.73198i | ||||
\(746\) | 23.5721 | + | 72.5474i | 0.863035 | + | 2.65615i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −3.67758 | − | 18.4491i | −0.134466 | − | 0.674565i | ||||
\(749\) | −6.01586 | −0.219815 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −23.6986 | − | 17.2180i | −0.864774 | − | 0.628295i | 0.0644056 | − | 0.997924i | \(-0.479485\pi\) |
−0.929180 | + | 0.369629i | \(0.879485\pi\) | |||||||
\(752\) | −65.6559 | + | 47.7018i | −2.39422 | + | 1.73951i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −2.88255 | + | 8.87157i | −0.104976 | + | 0.323084i | ||||
\(755\) | 50.3966 | − | 36.6152i | 1.83412 | − | 1.33256i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −10.1486 | − | 31.2342i | −0.368857 | − | 1.13523i | −0.947530 | − | 0.319666i | \(-0.896429\pi\) |
0.578673 | − | 0.815560i | \(-0.303571\pi\) | |||||||
\(758\) | 40.8473 | 1.48364 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 107.143 | 3.88650 | ||||||||
\(761\) | −13.3845 | − | 41.1934i | −0.485189 | − | 1.49326i | −0.831707 | − | 0.555215i | \(-0.812636\pi\) |
0.346517 | − | 0.938044i | \(-0.387364\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −5.40505 | + | 3.92700i | −0.195676 | + | 0.142167i | ||||
\(764\) | 5.10747 | − | 15.7192i | 0.184782 | − | 0.568700i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −16.9285 | + | 12.2992i | −0.611650 | + | 0.444390i | ||||
\(767\) | 23.4350 | + | 17.0265i | 0.846190 | + | 0.614793i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 31.4543 | 1.13427 | 0.567135 | − | 0.823625i | \(-0.308052\pi\) | ||||
0.567135 | + | 0.823625i | \(0.308052\pi\) | |||||||
\(770\) | 32.5333 | − | 18.2370i | 1.17242 | − | 0.657215i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 25.1822 | + | 77.5028i | 0.906327 | + | 2.78939i | ||||
\(773\) | 33.8275 | + | 24.5771i | 1.21669 | + | 0.883979i | 0.995821 | − | 0.0913245i | \(-0.0291100\pi\) |
0.220871 | + | 0.975303i | \(0.429110\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 12.6045 | − | 38.7928i | 0.452769 | − | 1.39348i | ||||
\(776\) | 15.5985 | − | 48.0073i | 0.559954 | − | 1.72336i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 60.6436 | + | 44.0601i | 2.17418 | + | 1.57963i | ||||
\(779\) | 6.52847 | + | 20.0926i | 0.233907 | + | 0.719891i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 7.61298 | − | 16.5316i | 0.272414 | − | 0.591546i | ||||
\(782\) | −25.7084 | −0.919330 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −7.51643 | − | 5.46100i | −0.268444 | − | 0.195036i | ||||
\(785\) | 18.5681 | − | 13.4905i | 0.662725 | − | 0.481498i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −14.3401 | + | 44.1342i | −0.511168 | + | 1.57321i | 0.278979 | + | 0.960297i | \(0.410004\pi\) |
−0.790147 | + | 0.612917i | \(0.789996\pi\) | |||||||
\(788\) | 13.4572 | − | 9.77726i | 0.479394 | − | 0.348300i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 30.7035 | + | 94.4956i | 1.09238 | + | 3.36200i | ||||
\(791\) | −18.7558 | −0.666880 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −19.1452 | −0.679867 | ||||||||
\(794\) | −27.1421 | − | 83.5347i | −0.963236 | − | 2.96454i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −31.7232 | + | 23.0482i | −1.12440 | + | 0.816923i | ||||
\(797\) | 10.9379 | − | 33.6634i | 0.387440 | − | 1.19242i | −0.547255 | − | 0.836966i | \(-0.684327\pi\) |
0.934695 | − | 0.355452i | \(-0.115673\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 8.38499 | − | 6.09205i | 0.296640 | − | 0.215521i | ||||
\(800\) | −107.264 | − | 77.9318i | −3.79235 | − | 2.75530i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 2.40744 | 0.0850098 | ||||||||
\(803\) | −25.0542 | + | 14.0444i | −0.884142 | + | 0.495618i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −11.1043 | − | 34.1756i | −0.391376 | − | 1.20453i | ||||
\(806\) | 15.5123 | + | 11.2704i | 0.546398 | + | 0.396982i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 37.3402 | − | 114.921i | 1.31362 | − | 4.04292i | ||||
\(809\) | −7.34959 | + | 22.6197i | −0.258398 | + | 0.795267i | 0.734743 | + | 0.678345i | \(0.237303\pi\) |
−0.993141 | + | 0.116922i | \(0.962697\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 5.83900 | + | 4.24228i | 0.205035 | + | 0.148967i | 0.685564 | − | 0.728012i | \(-0.259555\pi\) |
−0.480529 | + | 0.876979i | \(0.659555\pi\) | |||||||
\(812\) | 2.14742 | + | 6.60909i | 0.0753597 | + | 0.231933i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −40.2455 | − | 37.1721i | −1.41060 | − | 1.30288i | ||||
\(815\) | −3.91408 | −0.137104 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 8.74117 | + | 6.35083i | 0.305815 | + | 0.222187i | ||||
\(818\) | −54.3341 | + | 39.4760i | −1.89975 | + | 1.38025i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 39.3285 | − | 121.041i | 1.37341 | − | 4.22693i | ||||
\(821\) | −37.5681 | + | 27.2948i | −1.31114 | + | 0.952596i | −0.311138 | + | 0.950365i | \(0.600710\pi\) |
−0.999998 | + | 0.00223147i | \(0.999290\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 6.92802 | + | 21.3222i | 0.241496 | + | 0.743247i | 0.996193 | + | 0.0871740i | \(0.0277836\pi\) |
−0.754698 | + | 0.656073i | \(0.772216\pi\) | |||||||
\(824\) | 83.8228 | 2.92011 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 30.6085 | 1.06501 | ||||||||
\(827\) | 9.41128 | + | 28.9650i | 0.327262 | + | 1.00721i | 0.970409 | + | 0.241467i | \(0.0776286\pi\) |
−0.643147 | + | 0.765743i | \(0.722371\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 35.5485 | − | 25.8275i | 1.23465 | − | 0.897025i | 0.237419 | − | 0.971407i | \(-0.423698\pi\) |
0.997230 | + | 0.0743821i | \(0.0236984\pi\) | |||||||
\(830\) | 33.5807 | − | 103.351i | 1.16560 | − | 3.58736i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 13.3777 | − | 9.71946i | 0.463788 | − | 0.336962i | ||||
\(833\) | 0.959932 | + | 0.697431i | 0.0332597 | + | 0.0241646i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −50.2832 | −1.74012 | ||||||||
\(836\) | −53.9581 | − | 6.36403i | −1.86618 | − | 0.220104i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 7.57418 | + | 23.3109i | 0.261646 | + | 0.805262i | ||||
\(839\) | −2.26645 | − | 1.64667i | −0.0782466 | − | 0.0568495i | 0.547974 | − | 0.836495i | \(-0.315399\pi\) |
−0.626221 | + | 0.779646i | \(0.715399\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −8.30845 | + | 25.5708i | −0.286498 | + | 0.881751i | ||||
\(842\) | −23.5799 | + | 72.5714i | −0.812616 | + | 2.50098i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −85.9296 | − | 62.4315i | −2.95782 | − | 2.14898i | ||||
\(845\) | 9.24462 | + | 28.4520i | 0.318025 | + | 0.978779i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −10.1592 | + | 4.21781i | −0.349075 | + | 0.144926i | ||||
\(848\) | −62.0774 | −2.13175 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 34.1198 | + | 24.7895i | 1.17030 | + | 0.850273i | ||||
\(851\) | −42.7041 | + | 31.0263i | −1.46388 | + | 1.06357i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −2.59036 | + | 7.97231i | −0.0886922 | + | 0.272967i | −0.985559 | − | 0.169335i | \(-0.945838\pi\) |
0.896866 | + | 0.442302i | \(0.145838\pi\) | |||||||
\(854\) | −16.3664 | + | 11.8909i | −0.560046 | + | 0.406897i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −13.4586 | − | 41.4213i | −0.460005 | − | 1.41575i | ||||
\(857\) | −53.1740 | −1.81639 | −0.908194 | − | 0.418550i | \(-0.862539\pi\) | ||||
−0.908194 | + | 0.418550i | \(0.862539\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 39.7762 | 1.35715 | 0.678573 | − | 0.734533i | \(-0.262599\pi\) | ||||
0.678573 | + | 0.734533i | \(0.262599\pi\) | |||||||
\(860\) | −20.1136 | − | 61.9034i | −0.685869 | − | 2.11089i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −14.6971 | + | 10.6781i | −0.500587 | + | 0.363697i | ||||
\(863\) | −2.81762 | + | 8.67174i | −0.0959129 | + | 0.295189i | −0.987491 | − | 0.157678i | \(-0.949599\pi\) |
0.891578 | + | 0.452868i | \(0.149599\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −23.9341 | + | 17.3891i | −0.813784 | + | 0.591249i | ||||
\(866\) | −2.79998 | − | 2.03430i | −0.0951471 | − | 0.0691285i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 14.2843 | 0.484842 | ||||||||
\(869\) | −5.72875 | − | 28.7390i | −0.194334 | − | 0.974905i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.36889 | − | 7.29070i | −0.0802669 | − | 0.247036i | ||||
\(872\) | −39.1309 | − | 28.4302i | −1.32514 | − | 0.962769i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −22.9444 | + | 70.6157i | −0.776107 | + | 2.38861i | ||||
\(875\) | −11.5440 | + | 35.5287i | −0.390257 | + | 1.20109i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 18.8858 | + | 13.7213i | 0.637727 | + | 0.463336i | 0.859069 | − | 0.511861i | \(-0.171044\pi\) |
−0.221342 | + | 0.975196i | \(0.571044\pi\) | |||||||
\(878\) | −2.92733 | − | 9.00938i | −0.0987925 | − | 0.304052i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 97.7560 | + | 90.2907i | 3.29535 | + | 3.04370i | ||||
\(881\) | 55.3515 | 1.86484 | 0.932419 | − | 0.361379i | \(-0.117694\pi\) | ||||
0.932419 | + | 0.361379i | \(0.117694\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −25.7607 | − | 18.7162i | −0.866916 | − | 0.629852i | 0.0628414 | − | 0.998024i | \(-0.479984\pi\) |
−0.929758 | + | 0.368172i | \(0.879984\pi\) | |||||||
\(884\) | −11.3081 | + | 8.21579i | −0.380331 | + | 0.276327i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 10.7903 | − | 33.2092i | 0.362508 | − | 1.11568i | ||||
\(887\) | 28.5322 | − | 20.7298i | 0.958016 | − | 0.696040i | 0.00532707 | − | 0.999986i | \(-0.498304\pi\) |
0.952689 | + | 0.303946i | \(0.0983043\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0.979590 | + | 3.01487i | 0.0328544 | + | 0.101115i | ||||
\(890\) | −11.0828 | −0.371497 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 104.380 | 3.49489 | ||||||||
\(893\) | −9.25012 | − | 28.4690i | −0.309544 | − | 0.952677i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −29.3921 | + | 21.3546i | −0.982469 | + | 0.713805i | ||||
\(896\) | −0.603648 | + | 1.85784i | −0.0201665 | + | 0.0620660i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −31.5975 | + | 22.9569i | −1.05442 | + | 0.766082i | ||||
\(899\) | −3.51430 | − | 2.55329i | −0.117209 | − | 0.0851570i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 7.92798 | 0.264119 | ||||||||
\(902\) | −22.2702 | + | 48.3597i | −0.741516 | + | 1.61020i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −41.9602 | − | 129.140i | −1.39558 | − | 4.29514i | ||||
\(905\) | 45.5204 | + | 33.0725i | 1.51315 | + | 1.09937i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −1.42358 | + | 4.38134i | −0.0472693 | + | 0.145480i | −0.971905 | − | 0.235372i | \(-0.924369\pi\) |
0.924636 | + | 0.380852i | \(0.124369\pi\) | |||||||
\(908\) | −36.0006 | + | 110.798i | −1.19472 | + | 3.67697i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −22.4190 | − | 16.2884i | −0.743183 | − | 0.539954i | ||||
\(911\) | 1.90181 | + | 5.85318i | 0.0630099 | + | 0.193925i | 0.977606 | − | 0.210445i | \(-0.0674911\pi\) |
−0.914596 | + | 0.404369i | \(0.867491\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −13.4064 | + | 29.1120i | −0.443688 | + | 0.963467i | ||||
\(914\) | −51.3285 | −1.69779 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 9.98310 | + | 7.25315i | 0.329851 | + | 0.239651i | ||||
\(917\) | −6.33765 | + | 4.60457i | −0.209288 | + | 0.152056i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 6.17532 | − | 19.0057i | 0.203705 | − | 0.626940i | −0.796059 | − | 0.605219i | \(-0.793086\pi\) |
0.999764 | − | 0.0217208i | \(-0.00691448\pi\) | |||||||
\(920\) | 210.468 | − | 152.914i | 6.93894 | − | 5.04143i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 13.1662 | + | 40.5215i | 0.433607 | + | 1.33451i | ||||
\(923\) | −13.5230 | −0.445115 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 86.5937 | 2.84718 | ||||||||
\(926\) | −6.02351 | − | 18.5385i | −0.197945 | − | 0.609211i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −11.4233 | + | 8.29949i | −0.374987 | + | 0.272444i | ||||
\(929\) | −2.27185 | + | 6.99203i | −0.0745370 | + | 0.229401i | −0.981383 | − | 0.192061i | \(-0.938483\pi\) |
0.906846 | + | 0.421462i | \(0.138483\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 2.77243 | − | 2.01429i | 0.0908627 | − | 0.0660156i | ||||
\(932\) | 55.1274 | + | 40.0524i | 1.80576 | + | 1.31196i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −7.57793 | −0.247957 | ||||||||
\(935\) | −12.4845 | − | 11.5311i | −0.408288 | − | 0.377108i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −6.92309 | − | 21.3071i | −0.226167 | − | 0.696072i | −0.998171 | − | 0.0604535i | \(-0.980745\pi\) |
0.772004 | − | 0.635618i | \(-0.219255\pi\) | |||||||
\(938\) | −6.55322 | − | 4.76119i | −0.213970 | − | 0.155458i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −55.7242 | + | 171.502i | −1.81752 | + | 5.59376i | ||||
\(941\) | −1.50334 | + | 4.62680i | −0.0490074 | + | 0.150829i | −0.972565 | − | 0.232629i | \(-0.925267\pi\) |
0.923558 | + | 0.383459i | \(0.125267\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 41.5002 | + | 30.1517i | 1.35143 | + | 0.981874i | ||||
\(944\) | 33.7484 | + | 103.867i | 1.09842 | + | 3.38058i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 5.32300 | + | 26.7035i | 0.173066 | + | 0.868207i | ||||
\(947\) | 29.6187 | 0.962477 | 0.481238 | − | 0.876590i | \(-0.340187\pi\) | ||||
0.481238 | + | 0.876590i | \(0.340187\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 17.2651 | + | 12.5438i | 0.560447 | + | 0.407189i | ||||
\(950\) | 98.5433 | − | 71.5959i | 3.19717 | − | 2.32288i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −2.65451 | + | 8.16975i | −0.0860332 | + | 0.264783i | ||||
\(953\) | −4.53974 | + | 3.29832i | −0.147057 | + | 0.106843i | −0.658881 | − | 0.752247i | \(-0.728970\pi\) |
0.511824 | + | 0.859090i | \(0.328970\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −4.61415 | − | 14.2009i | −0.149310 | − | 0.459530i | ||||
\(956\) | −52.8165 | −1.70821 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −69.0744 | −2.23169 | ||||||||
\(959\) | 2.22097 | + | 6.83545i | 0.0717189 | + | 0.220728i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 17.8558 | − | 12.9730i | 0.575992 | − | 0.418483i | ||||
\(962\) | −12.5789 | + | 38.7139i | −0.405561 | + | 1.24819i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 42.5918 | − | 30.9447i | 1.37179 | − | 0.996663i | ||||
\(965\) | 59.5600 | + | 43.2729i | 1.91730 | + | 1.39300i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −49.9946 | −1.60772 | −0.803858 | − | 0.594821i | \(-0.797223\pi\) | ||||
−0.803858 | + | 0.594821i | \(0.797223\pi\) | |||||||
\(968\) | −51.7692 | − | 60.5139i | −1.66393 | − | 1.94499i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −24.2288 | − | 74.5684i | −0.777938 | − | 2.39425i | ||||
\(971\) | −48.0964 | − | 34.9441i | −1.54349 | − | 1.12141i | −0.948101 | − | 0.317970i | \(-0.896999\pi\) |
−0.595386 | − | 0.803439i | \(-0.703001\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1.04077 | − | 3.20317i | 0.0333657 | − | 0.102689i | ||||
\(974\) | −2.26688 | + | 6.97674i | −0.0726356 | + | 0.223549i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −58.3958 | − | 42.4270i | −1.86920 | − | 1.35806i | ||||
\(977\) | 6.28312 | + | 19.3374i | 0.201015 | + | 0.618660i | 0.999854 | + | 0.0171146i | \(0.00544802\pi\) |
−0.798839 | + | 0.601545i | \(0.794552\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 3.24623 | + | 0.382872i | 0.103750 | + | 0.0122367i | ||||
\(980\) | −20.6443 | −0.659457 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −11.9632 | − | 8.69174i | −0.381760 | − | 0.277365i | ||||
\(983\) | 20.2626 | − | 14.7217i | 0.646278 | − | 0.469548i | −0.215723 | − | 0.976454i | \(-0.569211\pi\) |
0.862001 | + | 0.506906i | \(0.169211\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 4.64373 | − | 14.2919i | 0.147961 | − | 0.455378i | ||||
\(986\) | 3.63365 | − | 2.64000i | 0.115719 | − | 0.0840749i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 12.4748 | + | 38.3935i | 0.396876 | + | 1.22146i | ||||
\(989\) | 26.2347 | 0.834214 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 10.5368 | 0.334713 | 0.167356 | − | 0.985896i | \(-0.446477\pi\) | ||||
0.167356 | + | 0.985896i | \(0.446477\pi\) | |||||||
\(992\) | 8.96892 | + | 27.6035i | 0.284763 | + | 0.876412i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −11.5602 | + | 8.39897i | −0.366667 | + | 0.266399i | ||||
\(995\) | −10.9468 | + | 33.6908i | −0.347037 | + | 1.06807i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 27.5808 | − | 20.0386i | 0.873492 | − | 0.634629i | −0.0580294 | − | 0.998315i | \(-0.518482\pi\) |
0.931522 | + | 0.363686i | \(0.118482\pi\) | |||||||
\(998\) | −74.3524 | − | 54.0201i | −2.35358 | − | 1.70998i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 693.2.m.k.379.8 | yes | 32 | |
3.2 | odd | 2 | inner | 693.2.m.k.379.1 | yes | 32 | |
11.3 | even | 5 | 7623.2.a.dc.1.15 | 16 | |||
11.8 | odd | 10 | 7623.2.a.db.1.2 | 16 | |||
11.9 | even | 5 | inner | 693.2.m.k.64.8 | yes | 32 | |
33.8 | even | 10 | 7623.2.a.db.1.15 | 16 | |||
33.14 | odd | 10 | 7623.2.a.dc.1.2 | 16 | |||
33.20 | odd | 10 | inner | 693.2.m.k.64.1 | ✓ | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
693.2.m.k.64.1 | ✓ | 32 | 33.20 | odd | 10 | inner | |
693.2.m.k.64.8 | yes | 32 | 11.9 | even | 5 | inner | |
693.2.m.k.379.1 | yes | 32 | 3.2 | odd | 2 | inner | |
693.2.m.k.379.8 | yes | 32 | 1.1 | even | 1 | trivial | |
7623.2.a.db.1.2 | 16 | 11.8 | odd | 10 | |||
7623.2.a.db.1.15 | 16 | 33.8 | even | 10 | |||
7623.2.a.dc.1.2 | 16 | 33.14 | odd | 10 | |||
7623.2.a.dc.1.15 | 16 | 11.3 | even | 5 |