Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [864,2,Mod(35,864)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(864, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([12, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("864.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 864 = 2^{5} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 864.bn (of order \(24\), degree \(8\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.89907473464\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{24})\) |
Twist minimal: | no (minimal twist has level 288) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 611.25 | ||
Character | \(\chi\) | \(=\) | 864.611 |
Dual form | 864.2.bn.a.683.25 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/864\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(353\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{3}{8}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.259191 | + | 1.39026i | 0.183276 | + | 0.983061i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.86564 | + | 0.720686i | −0.932820 | + | 0.360343i | ||||
\(5\) | 0.173739 | − | 1.31968i | 0.0776986 | − | 0.590180i | −0.907663 | − | 0.419700i | \(-0.862135\pi\) |
0.985361 | − | 0.170479i | \(-0.0545315\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.0444224 | − | 0.165787i | 0.0167901 | − | 0.0626615i | −0.957023 | − | 0.290014i | \(-0.906340\pi\) |
0.973813 | + | 0.227352i | \(0.0730068\pi\) | |||||||
\(8\) | −1.48550 | − | 2.40693i | −0.525203 | − | 0.850977i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.87973 | − | 0.100507i | 0.594423 | − | 0.0317833i | ||||
\(11\) | 0.877753 | + | 0.673524i | 0.264653 | + | 0.203075i | 0.732560 | − | 0.680702i | \(-0.238325\pi\) |
−0.467907 | + | 0.883777i | \(0.654992\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.54859 | + | 3.32139i | 0.706853 | + | 0.921189i | 0.999385 | − | 0.0350670i | \(-0.0111645\pi\) |
−0.292532 | + | 0.956256i | \(0.594498\pi\) | |||||||
\(14\) | 0.242000 | + | 0.0187881i | 0.0646773 | + | 0.00502134i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.96122 | − | 2.68908i | 0.740306 | − | 0.672271i | ||||
\(17\) | −1.67770 | −0.406902 | −0.203451 | − | 0.979085i | \(-0.565216\pi\) | ||||
−0.203451 | + | 0.979085i | \(0.565216\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.90182 | + | 1.61619i | 0.895139 | + | 0.370779i | 0.782349 | − | 0.622840i | \(-0.214021\pi\) |
0.112790 | + | 0.993619i | \(0.464021\pi\) | |||||||
\(20\) | 0.626942 | + | 2.58726i | 0.140188 | + | 0.578529i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.708866 | + | 1.39488i | −0.151131 | + | 0.297389i | ||||
\(23\) | −1.65427 | + | 0.443260i | −0.344939 | + | 0.0924261i | −0.427129 | − | 0.904191i | \(-0.640475\pi\) |
0.0821905 | + | 0.996617i | \(0.473808\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.11825 | + | 0.835534i | 0.623651 | + | 0.167107i | ||||
\(26\) | −3.95702 | + | 4.40408i | −0.776036 | + | 0.863712i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.0366040 | + | 0.341313i | 0.00691751 | + | 0.0645020i | ||||
\(29\) | 6.46737 | − | 0.851445i | 1.20096 | − | 0.158109i | 0.496618 | − | 0.867969i | \(-0.334575\pi\) |
0.704343 | + | 0.709860i | \(0.251242\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.09485 | + | 1.78681i | 0.555851 | + | 0.320920i | 0.751478 | − | 0.659758i | \(-0.229341\pi\) |
−0.195628 | + | 0.980678i | \(0.562674\pi\) | |||||||
\(32\) | 4.50604 | + | 3.41988i | 0.796564 | + | 0.604555i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.434846 | − | 2.33244i | −0.0745755 | − | 0.400010i | ||||
\(35\) | −0.211068 | − | 0.0874271i | −0.0356769 | − | 0.0147779i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.58091 | + | 8.64508i | 0.588698 | + | 1.42124i | 0.884748 | + | 0.466070i | \(0.154331\pi\) |
−0.296050 | + | 0.955173i | \(0.595669\pi\) | |||||||
\(38\) | −1.23560 | + | 5.84344i | −0.200441 | + | 0.947931i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −3.43447 | + | 1.54221i | −0.543037 | + | 0.243844i | ||||
\(41\) | 0.790091 | + | 2.94866i | 0.123391 | + | 0.460503i | 0.999777 | − | 0.0211066i | \(-0.00671894\pi\) |
−0.876386 | + | 0.481610i | \(0.840052\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.37283 | + | 7.00201i | −0.819349 | + | 1.06780i | 0.177149 | + | 0.984184i | \(0.443312\pi\) |
−0.996498 | + | 0.0836124i | \(0.973354\pi\) | |||||||
\(44\) | −2.12297 | − | 0.623968i | −0.320050 | − | 0.0940667i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.04502 | − | 2.18497i | −0.154080 | − | 0.322157i | ||||
\(47\) | 0.598230 | − | 0.345388i | 0.0872608 | − | 0.0503801i | −0.455735 | − | 0.890116i | \(-0.650623\pi\) |
0.542995 | + | 0.839736i | \(0.317290\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.03667 | + | 3.48527i | 0.862381 | + | 0.497896i | ||||
\(50\) | −0.353383 | + | 4.55174i | −0.0499760 | + | 0.643714i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −7.14844 | − | 4.35979i | −0.991311 | − | 0.604593i | ||||
\(53\) | −4.43574 | − | 10.7088i | −0.609296 | − | 1.47097i | −0.863768 | − | 0.503891i | \(-0.831901\pi\) |
0.254471 | − | 0.967080i | \(-0.418099\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.04134 | − | 1.04134i | 0.140414 | − | 0.140414i | ||||
\(56\) | −0.465026 | + | 0.139354i | −0.0621417 | + | 0.0186220i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 2.86002 | + | 8.77063i | 0.375539 | + | 1.15164i | ||||
\(59\) | −3.24657 | − | 0.427420i | −0.422668 | − | 0.0556453i | −0.0838076 | − | 0.996482i | \(-0.526708\pi\) |
−0.338860 | + | 0.940837i | \(0.610041\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.28507 | − | 9.76104i | −0.164536 | − | 1.24977i | −0.851995 | − | 0.523550i | \(-0.824607\pi\) |
0.687459 | − | 0.726223i | \(-0.258726\pi\) | |||||||
\(62\) | −1.68197 | + | 4.76576i | −0.213610 | + | 0.605252i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −3.58659 | + | 7.15097i | −0.448323 | + | 0.893871i | ||||
\(65\) | 4.82597 | − | 2.78628i | 0.598588 | − | 0.345595i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.81460 | − | 7.57774i | −0.710367 | − | 0.925768i | 0.289136 | − | 0.957288i | \(-0.406632\pi\) |
−0.999503 | + | 0.0315197i | \(0.989965\pi\) | |||||||
\(68\) | 3.12999 | − | 1.20910i | 0.379567 | − | 0.146625i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.0668394 | − | 0.316099i | 0.00798883 | − | 0.0377811i | ||||
\(71\) | −0.107240 | + | 0.107240i | −0.0127271 | + | 0.0127271i | −0.713442 | − | 0.700715i | \(-0.752865\pi\) |
0.700715 | + | 0.713442i | \(0.252865\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.93478 | + | 3.93478i | 0.460532 | + | 0.460532i | 0.898830 | − | 0.438298i | \(-0.144419\pi\) |
−0.438298 | + | 0.898830i | \(0.644419\pi\) | |||||||
\(74\) | −11.0908 | + | 7.21912i | −1.28927 | + | 0.839206i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −8.44415 | − | 0.203233i | −0.968611 | − | 0.0233124i | ||||
\(77\) | 0.150653 | − | 0.115600i | 0.0171685 | − | 0.0131739i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.777341 | + | 1.34639i | 0.0874576 | + | 0.151481i | 0.906436 | − | 0.422344i | \(-0.138792\pi\) |
−0.818978 | + | 0.573825i | \(0.805459\pi\) | |||||||
\(80\) | −3.03425 | − | 4.37507i | −0.339240 | − | 0.489148i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −3.89461 | + | 1.86270i | −0.430088 | + | 0.205701i | ||||
\(83\) | −4.82345 | + | 0.635020i | −0.529443 | + | 0.0697025i | −0.390509 | − | 0.920599i | \(-0.627701\pi\) |
−0.138934 | + | 0.990302i | \(0.544368\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.291483 | + | 2.21403i | −0.0316158 | + | 0.240146i | ||||
\(86\) | −11.1272 | − | 5.65476i | −1.19988 | − | 0.609769i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.317221 | − | 3.11321i | 0.0338159 | − | 0.331869i | ||||
\(89\) | 10.7307 | + | 10.7307i | 1.13745 | + | 1.13745i | 0.988905 | + | 0.148546i | \(0.0474594\pi\) |
0.148546 | + | 0.988905i | \(0.452541\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.663857 | − | 0.274979i | 0.0695912 | − | 0.0288256i | ||||
\(92\) | 2.76682 | − | 2.01917i | 0.288461 | − | 0.210513i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.635235 | + | 0.742173i | 0.0655195 | + | 0.0765493i | ||||
\(95\) | 2.81075 | − | 4.86836i | 0.288377 | − | 0.499484i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −6.90201 | − | 11.9546i | −0.700793 | − | 1.21381i | −0.968189 | − | 0.250222i | \(-0.919496\pi\) |
0.267396 | − | 0.963587i | \(-0.413837\pi\) | |||||||
\(98\) | −3.28078 | + | 9.29588i | −0.331408 | + | 0.939026i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −6.41970 | + | 0.688479i | −0.641970 | + | 0.0688479i | ||||
\(101\) | 2.41616 | + | 1.85399i | 0.240417 | + | 0.184479i | 0.721941 | − | 0.691954i | \(-0.243250\pi\) |
−0.481524 | + | 0.876433i | \(0.659917\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.0714267 | + | 0.0191387i | −0.00703788 | + | 0.00188579i | −0.262336 | − | 0.964977i | \(-0.584493\pi\) |
0.255298 | + | 0.966862i | \(0.417826\pi\) | |||||||
\(104\) | 4.20841 | − | 11.0682i | 0.412669 | − | 1.08533i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 13.7383 | − | 8.94247i | 1.33439 | − | 0.868569i | ||||
\(107\) | 10.4670 | − | 4.33555i | 1.01188 | − | 0.419134i | 0.185739 | − | 0.982599i | \(-0.440532\pi\) |
0.826140 | + | 0.563465i | \(0.190532\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.40564 | − | 10.6362i | 0.421984 | − | 1.01876i | −0.559778 | − | 0.828643i | \(-0.689113\pi\) |
0.981762 | − | 0.190116i | \(-0.0608866\pi\) | |||||||
\(110\) | 1.71763 | + | 1.17782i | 0.163770 | + | 0.112301i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.314269 | − | 0.610386i | −0.0296957 | − | 0.0576761i | ||||
\(113\) | −2.75339 | + | 4.76900i | −0.259017 | + | 0.448630i | −0.965979 | − | 0.258621i | \(-0.916732\pi\) |
0.706962 | + | 0.707251i | \(0.250065\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.297550 | + | 2.26012i | 0.0277467 | + | 0.210757i | ||||
\(116\) | −11.4522 | + | 6.24944i | −1.06331 | + | 0.580246i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.247260 | − | 4.62436i | −0.0227622 | − | 0.425707i | ||||
\(119\) | −0.0745275 | + | 0.278141i | −0.00683193 | + | 0.0254971i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.53019 | − | 9.44281i | −0.230018 | − | 0.858437i | ||||
\(122\) | 13.2373 | − | 4.31655i | 1.19845 | − | 0.390802i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −7.06159 | − | 1.10313i | −0.634150 | − | 0.0990640i | ||||
\(125\) | 4.19129 | − | 10.1187i | 0.374881 | − | 0.905042i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 10.3560i | 0.918945i | 0.888192 | + | 0.459473i | \(0.151962\pi\) | ||||
−0.888192 | + | 0.459473i | \(0.848038\pi\) | |||||||
\(128\) | −10.8713 | − | 3.13281i | −0.960897 | − | 0.276904i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 5.12450 | + | 5.98717i | 0.449448 | + | 0.525110i | ||||
\(131\) | −12.5469 | + | 9.62756i | −1.09623 | + | 0.841163i | −0.988228 | − | 0.152988i | \(-0.951110\pi\) |
−0.107997 | + | 0.994151i | \(0.534444\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.441270 | − | 0.575075i | 0.0382630 | − | 0.0498653i | ||||
\(134\) | 9.02793 | − | 10.0479i | 0.779894 | − | 0.868006i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.49222 | + | 4.03810i | 0.213706 | + | 0.346265i | ||||
\(137\) | 13.6981 | + | 3.67040i | 1.17031 | + | 0.313584i | 0.791077 | − | 0.611717i | \(-0.209521\pi\) |
0.379234 | + | 0.925301i | \(0.376188\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −22.2942 | − | 2.93509i | −1.89097 | − | 0.248951i | −0.906203 | − | 0.422842i | \(-0.861032\pi\) |
−0.984765 | + | 0.173891i | \(0.944366\pi\) | |||||||
\(140\) | 0.456784 | + | 0.0109938i | 0.0386053 | + | 0.000929148i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.176887 | − | 0.121296i | −0.0148441 | − | 0.0101789i | ||||
\(143\) | 4.63190i | 0.387339i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | − | 8.68280i | − | 0.721067i | ||||||
\(146\) | −4.45051 | + | 6.49023i | −0.368326 | + | 0.537135i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −12.9111 | − | 13.5479i | −1.06128 | − | 1.11363i | ||||
\(149\) | −14.4913 | − | 1.90781i | −1.18717 | − | 0.156294i | −0.489038 | − | 0.872263i | \(-0.662652\pi\) |
−0.698132 | + | 0.715969i | \(0.745985\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 22.3710 | + | 5.99430i | 1.82053 | + | 0.487809i | 0.996854 | − | 0.0792562i | \(-0.0252545\pi\) |
0.823673 | + | 0.567065i | \(0.191921\pi\) | |||||||
\(152\) | −1.90611 | − | 11.7922i | −0.154606 | − | 0.956476i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.199762 | + | 0.179484i | 0.0160973 | + | 0.0144633i | ||||
\(155\) | 2.89572 | − | 3.77377i | 0.232590 | − | 0.303117i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 10.1020 | − | 7.75154i | 0.806227 | − | 0.618640i | −0.121206 | − | 0.992627i | \(-0.538676\pi\) |
0.927434 | + | 0.373987i | \(0.122010\pi\) | |||||||
\(158\) | −1.67036 | + | 1.42968i | −0.132886 | + | 0.113739i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 5.29603 | − | 5.35238i | 0.418688 | − | 0.423143i | ||||
\(161\) | 0.293946i | 0.0231662i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.0659393 | − | 0.159192i | 0.00516477 | − | 0.0124689i | −0.921276 | − | 0.388909i | \(-0.872852\pi\) |
0.926441 | + | 0.376440i | \(0.122852\pi\) | |||||||
\(164\) | −3.59908 | − | 4.93173i | −0.281041 | − | 0.385103i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.13304 | − | 6.54126i | −0.165556 | − | 0.507700i | ||||
\(167\) | −3.69073 | − | 13.7740i | −0.285598 | − | 1.06586i | −0.948402 | − | 0.317072i | \(-0.897300\pi\) |
0.662804 | − | 0.748793i | \(-0.269366\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.17167 | + | 4.37274i | −0.0901285 | + | 0.336364i | ||||
\(170\) | −3.15363 | + | 0.168622i | −0.241872 | + | 0.0129327i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 4.97751 | − | 16.9354i | 0.379532 | − | 1.29131i | ||||
\(173\) | −0.461232 | − | 3.50340i | −0.0350668 | − | 0.266359i | −0.999993 | − | 0.00383618i | \(-0.998779\pi\) |
0.964926 | − | 0.262523i | \(-0.0845544\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.277041 | − | 0.479849i | 0.0209423 | − | 0.0362731i | ||||
\(176\) | 4.41038 | − | 0.365897i | 0.332445 | − | 0.0275806i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −12.1371 | + | 17.6998i | −0.909717 | + | 1.32665i | ||||
\(179\) | −8.74430 | + | 21.1106i | −0.653580 | + | 1.57788i | 0.153966 | + | 0.988076i | \(0.450795\pi\) |
−0.807546 | + | 0.589805i | \(0.799205\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 13.6633 | − | 5.65954i | 1.01559 | − | 0.420670i | 0.188098 | − | 0.982150i | \(-0.439768\pi\) |
0.827490 | + | 0.561480i | \(0.189768\pi\) | |||||||
\(182\) | 0.554358 | + | 0.851661i | 0.0410917 | + | 0.0631293i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 3.52431 | + | 3.32324i | 0.259815 | + | 0.244993i | ||||
\(185\) | 12.0309 | − | 3.22367i | 0.884530 | − | 0.237009i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.47261 | − | 1.12997i | −0.107688 | − | 0.0826318i | ||||
\(188\) | −0.867165 | + | 1.07551i | −0.0632445 | + | 0.0784394i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 7.49681 | + | 2.64583i | 0.543876 | + | 0.191949i | ||||
\(191\) | −10.9654 | − | 18.9927i | −0.793431 | − | 1.37426i | −0.923831 | − | 0.382801i | \(-0.874960\pi\) |
0.130400 | − | 0.991461i | \(-0.458374\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −6.84398 | + | 11.8541i | −0.492641 | + | 0.853278i | −0.999964 | − | 0.00847726i | \(-0.997302\pi\) |
0.507324 | + | 0.861756i | \(0.330635\pi\) | |||||||
\(194\) | 14.8311 | − | 12.6941i | 1.06481 | − | 0.911384i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −13.7740 | − | 2.15172i | −0.983859 | − | 0.153694i | ||||
\(197\) | 16.7997 | − | 6.95868i | 1.19693 | − | 0.495785i | 0.306926 | − | 0.951734i | \(-0.400700\pi\) |
0.890006 | + | 0.455948i | \(0.150700\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.67634 | + | 3.67634i | 0.260609 | + | 0.260609i | 0.825301 | − | 0.564693i | \(-0.191005\pi\) |
−0.564693 | + | 0.825301i | \(0.691005\pi\) | |||||||
\(200\) | −2.62109 | − | 8.74659i | −0.185339 | − | 0.618478i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.95127 | + | 3.83963i | −0.137291 | + | 0.270155i | ||||
\(203\) | 0.146138 | − | 1.11003i | 0.0102569 | − | 0.0779086i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 4.02856 | − | 0.530370i | 0.281367 | − | 0.0370427i | ||||
\(206\) | −0.0451210 | − | 0.0943410i | −0.00314373 | − | 0.00657305i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 16.4785 | + | 2.98200i | 1.14258 | + | 0.206765i | ||||
\(209\) | 2.33630 | + | 4.04658i | 0.161605 | + | 0.279908i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.84408 | + | 3.71699i | −0.333480 | + | 0.255888i | −0.761905 | − | 0.647689i | \(-0.775735\pi\) |
0.428424 | + | 0.903578i | \(0.359069\pi\) | |||||||
\(212\) | 15.9932 | + | 16.7820i | 1.09842 | + | 1.15259i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 8.74049 | + | 13.4280i | 0.597487 | + | 0.917921i | ||||
\(215\) | 8.30695 | + | 8.30695i | 0.566529 | + | 0.566529i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.433710 | − | 0.433710i | 0.0294421 | − | 0.0294421i | ||||
\(218\) | 15.9289 | + | 3.36818i | 1.07884 | + | 0.228122i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.19228 | + | 2.69324i | −0.0803837 | + | 0.181578i | ||||
\(221\) | −4.27578 | − | 5.57231i | −0.287620 | − | 0.374834i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −9.14774 | + | 5.28145i | −0.612578 | + | 0.353672i | −0.773974 | − | 0.633218i | \(-0.781734\pi\) |
0.161396 | + | 0.986890i | \(0.448400\pi\) | |||||||
\(224\) | 0.767139 | − | 0.595123i | 0.0512567 | − | 0.0397633i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −7.34380 | − | 2.59183i | −0.488503 | − | 0.172406i | ||||
\(227\) | −2.88471 | − | 21.9116i | −0.191465 | − | 1.45432i | −0.769676 | − | 0.638435i | \(-0.779582\pi\) |
0.578211 | − | 0.815887i | \(-0.303751\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.03165 | + | 0.135820i | 0.0681735 | + | 0.00897521i | 0.164536 | − | 0.986371i | \(-0.447387\pi\) |
−0.0963623 | + | 0.995346i | \(0.530721\pi\) | |||||||
\(230\) | −3.06503 | + | 0.999476i | −0.202102 | + | 0.0659035i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −11.6566 | − | 14.3017i | −0.765296 | − | 0.938950i | ||||
\(233\) | −14.9180 | + | 14.9180i | −0.977311 | + | 0.977311i | −0.999748 | − | 0.0224377i | \(-0.992857\pi\) |
0.0224377 | + | 0.999748i | \(0.492857\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.351866 | − | 0.849481i | −0.0229532 | − | 0.0554140i | ||||
\(236\) | 6.36497 | − | 1.54235i | 0.414324 | − | 0.100399i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.406004 | − | 0.0315209i | −0.0263173 | − | 0.00204320i | ||||
\(239\) | 11.0919 | + | 6.40393i | 0.717477 | + | 0.414236i | 0.813823 | − | 0.581112i | \(-0.197382\pi\) |
−0.0963462 | + | 0.995348i | \(0.530716\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 5.66423 | − | 3.27024i | 0.364865 | − | 0.210655i | −0.306348 | − | 0.951920i | \(-0.599107\pi\) |
0.671213 | + | 0.741265i | \(0.265774\pi\) | |||||||
\(242\) | 12.4721 | − | 5.96512i | 0.801740 | − | 0.383452i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 9.43212 | + | 17.2845i | 0.603830 | + | 1.10652i | ||||
\(245\) | 5.64825 | − | 7.36095i | 0.360854 | − | 0.470274i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.57617 | + | 17.0785i | 0.291174 | + | 1.08668i | ||||
\(248\) | −0.296669 | − | 10.1034i | −0.0188385 | − | 0.641564i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 15.1539 | + | 3.20431i | 0.958419 | + | 0.202658i | ||||
\(251\) | −3.69201 | − | 8.91330i | −0.233038 | − | 0.562603i | 0.763494 | − | 0.645815i | \(-0.223482\pi\) |
−0.996532 | + | 0.0832121i | \(0.973482\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.75059 | − | 0.725116i | −0.110058 | − | 0.0455877i | ||||
\(254\) | −14.3975 | + | 2.68418i | −0.903380 | + | 0.168421i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 1.53767 | − | 15.9259i | 0.0961045 | − | 0.995371i | ||||
\(257\) | −0.809834 | − | 0.467558i | −0.0505160 | − | 0.0291654i | 0.474529 | − | 0.880240i | \(-0.342618\pi\) |
−0.525045 | + | 0.851074i | \(0.675952\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.59231 | − | 0.209632i | 0.0989414 | − | 0.0130259i | ||||
\(260\) | −6.99549 | + | 8.67620i | −0.433842 | + | 0.538075i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −16.6368 | − | 14.9480i | −1.02783 | − | 0.923492i | ||||
\(263\) | −6.76551 | − | 1.81281i | −0.417179 | − | 0.111783i | 0.0441227 | − | 0.999026i | \(-0.485951\pi\) |
−0.461302 | + | 0.887243i | \(0.652617\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −14.9029 | + | 3.99322i | −0.915478 | + | 0.245302i | ||||
\(266\) | 0.913876 | + | 0.464425i | 0.0560333 | + | 0.0284758i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 16.3091 | + | 9.94683i | 0.996239 | + | 0.607599i | ||||
\(269\) | 25.5646 | + | 10.5892i | 1.55870 | + | 0.645634i | 0.984863 | − | 0.173336i | \(-0.0554548\pi\) |
0.573836 | + | 0.818970i | \(0.305455\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −24.4270 | −1.48383 | −0.741917 | − | 0.670492i | \(-0.766083\pi\) | ||||
−0.741917 | + | 0.670492i | \(0.766083\pi\) | |||||||
\(272\) | −4.96805 | + | 4.51148i | −0.301232 | + | 0.273549i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.55237 | + | 19.9953i | −0.0937822 | + | 1.20796i | ||||
\(275\) | 2.17431 | + | 2.83361i | 0.131116 | + | 0.170873i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −20.3161 | − | 15.5891i | −1.22068 | − | 0.936658i | −0.221419 | − | 0.975179i | \(-0.571069\pi\) |
−0.999258 | + | 0.0385209i | \(0.987735\pi\) | |||||||
\(278\) | −1.69793 | − | 31.7554i | −0.101835 | − | 1.90456i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.103110 | + | 0.637897i | 0.00616201 | + | 0.0381216i | ||||
\(281\) | 2.17463 | − | 8.11585i | 0.129728 | − | 0.484151i | −0.870236 | − | 0.492635i | \(-0.836034\pi\) |
0.999964 | + | 0.00848391i | \(0.00270054\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.46841 | − | 18.7494i | 0.146732 | − | 1.11454i | −0.746643 | − | 0.665224i | \(-0.768336\pi\) |
0.893375 | − | 0.449312i | \(-0.148331\pi\) | |||||||
\(284\) | 0.122785 | − | 0.277358i | 0.00728595 | − | 0.0164582i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −6.43955 | + | 1.20055i | −0.380778 | + | 0.0709900i | ||||
\(287\) | 0.523946 | 0.0309276 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −14.1853 | −0.834430 | ||||||||
\(290\) | 12.0713 | − | 2.25051i | 0.708853 | − | 0.132154i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −10.1766 | − | 4.50514i | −0.595542 | − | 0.263644i | ||||
\(293\) | −3.14809 | + | 23.9121i | −0.183913 | + | 1.39696i | 0.611668 | + | 0.791115i | \(0.290499\pi\) |
−0.795581 | + | 0.605847i | \(0.792835\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.12812 | + | 4.21019i | −0.0656814 | + | 0.245126i | ||||
\(296\) | 15.4886 | − | 21.4612i | 0.900259 | − | 1.24741i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.10366 | − | 20.6411i | −0.0639333 | − | 1.19571i | ||||
\(299\) | −5.68830 | − | 4.36479i | −0.328963 | − | 0.252422i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.922166 | + | 1.20179i | 0.0531527 | + | 0.0692700i | ||||
\(302\) | −2.53525 | + | 32.6552i | −0.145887 | + | 1.87909i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 15.9002 | − | 5.70643i | 0.911940 | − | 0.327286i | ||||
\(305\) | −13.1047 | −0.750375 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −0.622170 | − | 0.257711i | −0.0355091 | − | 0.0147083i | 0.364858 | − | 0.931063i | \(-0.381117\pi\) |
−0.400367 | + | 0.916355i | \(0.631117\pi\) | |||||||
\(308\) | −0.197753 | + | 0.324242i | −0.0112680 | + | 0.0184754i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 5.99706 | + | 3.04767i | 0.340610 | + | 0.173096i | ||||
\(311\) | 16.3916 | − | 4.39213i | 0.929485 | − | 0.249055i | 0.237850 | − | 0.971302i | \(-0.423557\pi\) |
0.691635 | + | 0.722247i | \(0.256891\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.49387 | − | 0.668229i | −0.140962 | − | 0.0377706i | 0.187648 | − | 0.982236i | \(-0.439913\pi\) |
−0.328610 | + | 0.944466i | \(0.606580\pi\) | |||||||
\(314\) | 13.3950 | + | 12.0353i | 0.755923 | + | 0.679189i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.42056 | − | 1.95167i | −0.136167 | − | 0.109790i | ||||
\(317\) | −13.1996 | + | 1.73775i | −0.741361 | + | 0.0976020i | −0.491740 | − | 0.870742i | \(-0.663639\pi\) |
−0.249620 | + | 0.968344i | \(0.580306\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 6.25023 | + | 3.60857i | 0.349945 | + | 0.202041i | ||||
\(320\) | 8.81387 | + | 5.97556i | 0.492711 | + | 0.334044i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.408661 | + | 0.0761884i | −0.0227738 | + | 0.00424581i | ||||
\(323\) | −6.54609 | − | 2.71148i | −0.364234 | − | 0.150871i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 5.17203 | + | 12.4864i | 0.286893 | + | 0.692620i | ||||
\(326\) | 0.238409 | + | 0.0504116i | 0.0132042 | + | 0.00279204i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 5.92353 | − | 6.28192i | 0.327072 | − | 0.346861i | ||||
\(329\) | −0.0306859 | − | 0.114522i | −0.00169177 | − | 0.00631377i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 5.84491 | − | 7.61723i | 0.321265 | − | 0.418681i | −0.604603 | − | 0.796527i | \(-0.706668\pi\) |
0.925869 | + | 0.377846i | \(0.123335\pi\) | |||||||
\(332\) | 8.54117 | − | 4.66091i | 0.468758 | − | 0.255801i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 18.1928 | − | 8.70118i | 0.995468 | − | 0.476108i | ||||
\(335\) | −11.0104 | + | 6.35688i | −0.601564 | + | 0.347313i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −0.454491 | − | 0.262401i | −0.0247577 | − | 0.0142939i | 0.487570 | − | 0.873084i | \(-0.337883\pi\) |
−0.512328 | + | 0.858790i | \(0.671217\pi\) | |||||||
\(338\) | −6.38292 | − | 0.495550i | −0.347185 | − | 0.0269544i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.05182 | − | 4.34065i | −0.0570430 | − | 0.235405i | ||||
\(341\) | 1.51305 | + | 3.65283i | 0.0819364 | + | 0.197812i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 1.69552 | − | 1.69552i | 0.0915497 | − | 0.0915497i | ||||
\(344\) | 24.8347 | + | 2.53053i | 1.33899 | + | 0.136437i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 4.75109 | − | 1.54928i | 0.255420 | − | 0.0832900i | ||||
\(347\) | −35.6249 | − | 4.69010i | −1.91244 | − | 0.251778i | −0.921739 | − | 0.387811i | \(-0.873231\pi\) |
−0.990704 | + | 0.136033i | \(0.956565\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −3.77349 | − | 28.6625i | −0.201990 | − | 1.53427i | −0.729063 | − | 0.684447i | \(-0.760044\pi\) |
0.527073 | − | 0.849820i | \(-0.323290\pi\) | |||||||
\(350\) | 0.738920 | + | 0.260786i | 0.0394969 | + | 0.0139396i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.65183 | + | 6.03674i | 0.0880426 | + | 0.321759i | ||||
\(353\) | 1.05732 | − | 0.610443i | 0.0562754 | − | 0.0324906i | −0.471598 | − | 0.881813i | \(-0.656323\pi\) |
0.527874 | + | 0.849323i | \(0.322989\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.122891 | + | 0.160155i | 0.00652238 | + | 0.00850013i | ||||
\(356\) | −27.7531 | − | 12.2861i | −1.47091 | − | 0.651165i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −31.6157 | − | 6.68515i | −1.67094 | − | 0.353321i | ||||
\(359\) | −6.44282 | + | 6.44282i | −0.340039 | + | 0.340039i | −0.856382 | − | 0.516343i | \(-0.827293\pi\) |
0.516343 | + | 0.856382i | \(0.327293\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.822894 | − | 0.822894i | −0.0433102 | − | 0.0433102i | ||||
\(362\) | 11.4096 | + | 17.5287i | 0.599678 | + | 0.921287i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −1.04034 | + | 0.991444i | −0.0545289 | + | 0.0519658i | ||||
\(365\) | 5.87629 | − | 4.50903i | 0.307579 | − | 0.236014i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.917382 | − | 1.58895i | −0.0478869 | − | 0.0829426i | 0.841088 | − | 0.540898i | \(-0.181915\pi\) |
−0.888975 | + | 0.457955i | \(0.848582\pi\) | |||||||
\(368\) | −3.70669 | + | 5.76105i | −0.193225 | + | 0.300316i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 7.60004 | + | 15.8905i | 0.395107 | + | 0.826109i | ||||
\(371\) | −1.97243 | + | 0.259675i | −0.102403 | + | 0.0134817i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −1.58151 | + | 12.0128i | −0.0818876 | + | 0.621998i | 0.900461 | + | 0.434937i | \(0.143229\pi\) |
−0.982348 | + | 0.187061i | \(0.940104\pi\) | |||||||
\(374\) | 1.18927 | − | 2.34019i | 0.0614955 | − | 0.121008i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.71999 | − | 0.926822i | −0.0887019 | − | 0.0477972i | ||||
\(377\) | 19.3107 | + | 19.3107i | 0.994551 | + | 0.994551i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −28.0488 | + | 11.6182i | −1.44077 | + | 0.596786i | −0.959985 | − | 0.280053i | \(-0.909648\pi\) |
−0.480784 | + | 0.876839i | \(0.659648\pi\) | |||||||
\(380\) | −1.73528 | + | 11.1083i | −0.0890182 | + | 0.569843i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 23.5626 | − | 20.1675i | 1.20557 | − | 1.03186i | ||||
\(383\) | −1.29677 | + | 2.24608i | −0.0662620 | + | 0.114769i | −0.897253 | − | 0.441517i | \(-0.854441\pi\) |
0.830991 | + | 0.556286i | \(0.187774\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.126381 | − | 0.218899i | −0.00644098 | − | 0.0111561i | ||||
\(386\) | −18.2542 | − | 6.44242i | −0.929114 | − | 0.327910i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 21.4922 | + | 17.3288i | 1.09110 | + | 0.879739i | ||||
\(389\) | −27.4948 | − | 21.0975i | −1.39404 | − | 1.06969i | −0.987767 | − | 0.155934i | \(-0.950161\pi\) |
−0.406274 | − | 0.913751i | \(-0.633172\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.77537 | − | 0.743658i | 0.140356 | − | 0.0376084i | ||||
\(392\) | −0.578669 | − | 19.7072i | −0.0292272 | − | 0.995363i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 14.0287 | + | 21.5524i | 0.706757 | + | 1.08579i | ||||
\(395\) | 1.91187 | − | 0.791921i | 0.0961964 | − | 0.0398458i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 7.92586 | − | 19.1347i | 0.397788 | − | 0.960344i | −0.590402 | − | 0.807109i | \(-0.701031\pi\) |
0.988190 | − | 0.153235i | \(-0.0489691\pi\) | |||||||
\(398\) | −4.15818 | + | 6.06394i | −0.208431 | + | 0.303958i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 11.4807 | − | 5.91104i | 0.574033 | − | 0.295552i | ||||
\(401\) | −9.24072 | + | 16.0054i | −0.461460 | + | 0.799271i | −0.999034 | − | 0.0439449i | \(-0.986007\pi\) |
0.537574 | + | 0.843216i | \(0.319341\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.95281 | + | 14.8331i | 0.0972763 | + | 0.738887i | ||||
\(404\) | −5.84383 | − | 1.71758i | −0.290741 | − | 0.0854526i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 1.58110 | − | 0.0845401i | 0.0784688 | − | 0.00419565i | ||||
\(407\) | −2.67951 | + | 10.0001i | −0.132819 | + | 0.495686i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 6.21012 | + | 23.1765i | 0.307071 | + | 1.14600i | 0.931148 | + | 0.364641i | \(0.118808\pi\) |
−0.624078 | + | 0.781362i | \(0.714525\pi\) | |||||||
\(410\) | 1.78152 | + | 5.46328i | 0.0879830 | + | 0.269812i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.119463 | − | 0.0871822i | 0.00588554 | − | 0.00429516i | ||||
\(413\) | −0.215081 | + | 0.519252i | −0.0105834 | + | 0.0255507i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 6.47575i | 0.317882i | ||||||||
\(416\) | 0.125320 | + | 23.6822i | 0.00614432 | + | 1.16112i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −5.02025 | + | 4.29689i | −0.245548 | + | 0.210168i | ||||
\(419\) | −26.6138 | + | 20.4215i | −1.30017 | + | 0.997653i | −0.301139 | + | 0.953580i | \(0.597367\pi\) |
−0.999028 | + | 0.0440730i | \(0.985967\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.04942 | + | 2.67086i | −0.0998826 | + | 0.130170i | −0.840620 | − | 0.541625i | \(-0.817809\pi\) |
0.740738 | + | 0.671794i | \(0.234476\pi\) | |||||||
\(422\) | −6.42313 | − | 5.77111i | −0.312673 | − | 0.280933i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −19.1861 | + | 26.5845i | −0.931758 | + | 1.29106i | ||||
\(425\) | −5.23150 | − | 1.40178i | −0.253765 | − | 0.0679962i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.67534 | − | 0.220562i | −0.0810752 | − | 0.0106738i | ||||
\(428\) | −16.4030 | + | 15.6320i | −0.792868 | + | 0.755600i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −9.39572 | + | 13.7019i | −0.453102 | + | 0.660764i | ||||
\(431\) | − | 20.6971i | − | 0.996944i | −0.866906 | − | 0.498472i | \(-0.833895\pi\) | ||
0.866906 | − | 0.498472i | \(-0.166105\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 2.00407i | − | 0.0963096i | −0.998840 | − | 0.0481548i | \(-0.984666\pi\) | ||
0.998840 | − | 0.0481548i | \(-0.0153341\pi\) | |||||||
\(434\) | 0.715382 | + | 0.490555i | 0.0343395 | + | 0.0235474i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.554003 | + | 23.0183i | −0.0265319 | + | 1.10238i | ||||
\(437\) | −7.17105 | − | 0.944086i | −0.343038 | − | 0.0451618i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 14.8118 | + | 3.96881i | 0.706928 | + | 0.189421i | 0.594332 | − | 0.804220i | \(-0.297417\pi\) |
0.112597 | + | 0.993641i | \(0.464083\pi\) | |||||||
\(440\) | −4.05333 | − | 0.959517i | −0.193235 | − | 0.0457432i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 6.63870 | − | 7.38874i | 0.315771 | − | 0.351446i | ||||
\(443\) | 3.23155 | − | 4.21144i | 0.153536 | − | 0.200091i | −0.710252 | − | 0.703947i | \(-0.751419\pi\) |
0.863788 | + | 0.503856i | \(0.168086\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 16.0255 | − | 12.2968i | 0.759679 | − | 0.582922i | ||||
\(446\) | −9.71360 | − | 11.3488i | −0.459952 | − | 0.537382i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.02621 | + | 0.912272i | 0.0484839 | + | 0.0431008i | ||||
\(449\) | − | 12.3646i | − | 0.583520i | −0.956492 | − | 0.291760i | \(-0.905759\pi\) | ||
0.956492 | − | 0.291760i | \(-0.0942408\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.29249 | + | 3.12034i | −0.0608609 | + | 0.146931i | ||||
\(452\) | 1.69987 | − | 10.8816i | 0.0799551 | − | 0.511826i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 29.7151 | − | 9.68979i | 1.39460 | − | 0.454764i | ||||
\(455\) | −0.247546 | − | 0.923855i | −0.0116051 | − | 0.0433110i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −6.36361 | + | 23.7493i | −0.297677 | + | 1.11095i | 0.641391 | + | 0.767214i | \(0.278358\pi\) |
−0.939068 | + | 0.343731i | \(0.888309\pi\) | |||||||
\(458\) | 0.0785710 | + | 1.46947i | 0.00367138 | + | 0.0686636i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −2.18396 | − | 4.00213i | −0.101828 | − | 0.186600i | ||||
\(461\) | 2.35475 | + | 17.8861i | 0.109672 | + | 0.833038i | 0.954544 | + | 0.298070i | \(0.0963429\pi\) |
−0.844872 | + | 0.534968i | \(0.820324\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 11.6229 | − | 20.1315i | 0.540164 | − | 0.935592i | −0.458730 | − | 0.888576i | \(-0.651696\pi\) |
0.998894 | − | 0.0470159i | \(-0.0149711\pi\) | |||||||
\(464\) | 16.8617 | − | 19.9126i | 0.782785 | − | 0.924420i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −24.6065 | − | 16.8733i | −1.13987 | − | 0.781639i | ||||
\(467\) | −12.3974 | + | 29.9300i | −0.573683 | + | 1.38499i | 0.324715 | + | 0.945812i | \(0.394731\pi\) |
−0.898398 | + | 0.439181i | \(0.855269\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.51459 | + | 0.627362i | −0.0699371 | + | 0.0289689i | ||||
\(470\) | 1.08980 | − | 0.709364i | 0.0502686 | − | 0.0327205i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 3.79401 | + | 8.44920i | 0.174634 | + | 0.388906i | ||||
\(473\) | −9.43204 | + | 2.52731i | −0.433686 | + | 0.116206i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 10.8165 | + | 8.29978i | 0.496294 | + | 0.380820i | ||||
\(476\) | −0.0614106 | − | 0.572621i | −0.00281475 | − | 0.0262460i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −6.02818 | + | 17.0805i | −0.275723 | + | 0.781244i | ||||
\(479\) | 21.1446 | + | 36.6236i | 0.966123 | + | 1.67337i | 0.706568 | + | 0.707645i | \(0.250242\pi\) |
0.259554 | + | 0.965729i | \(0.416424\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −19.5874 | + | 33.9264i | −0.893110 | + | 1.54691i | ||||
\(482\) | 6.01461 | + | 7.02713i | 0.273958 | + | 0.320077i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 11.5257 | + | 15.7934i | 0.523897 | + | 0.717882i | ||||
\(485\) | −16.9755 | + | 7.03146i | −0.770816 | + | 0.319282i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −8.93552 | − | 8.93552i | −0.404907 | − | 0.404907i | 0.475051 | − | 0.879958i | \(-0.342430\pi\) |
−0.879958 | + | 0.475051i | \(0.842430\pi\) | |||||||
\(488\) | −21.5851 | + | 17.5931i | −0.977114 | + | 0.796401i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 11.6976 | + | 5.94464i | 0.528444 | + | 0.268552i | ||||
\(491\) | 0.845170 | − | 6.41971i | 0.0381420 | − | 0.289717i | −0.961734 | − | 0.273984i | \(-0.911658\pi\) |
0.999876 | − | 0.0157332i | \(-0.00500824\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −10.8503 | + | 1.42847i | −0.488674 | + | 0.0643351i | ||||
\(494\) | −22.5574 | + | 10.7887i | −1.01491 | + | 0.485404i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 13.9694 | − | 3.03115i | 0.627245 | − | 0.136103i | ||||
\(497\) | 0.0130151 | + | 0.0225429i | 0.000583808 | + | 0.00101119i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 26.2915 | − | 20.1742i | 1.17697 | − | 0.903119i | 0.180214 | − | 0.983627i | \(-0.442321\pi\) |
0.996754 | + | 0.0805085i | \(0.0256544\pi\) | |||||||
\(500\) | −0.527049 | + | 21.8984i | −0.0235703 | + | 0.979327i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 11.4349 | − | 7.44310i | 0.510363 | − | 0.332202i | ||||
\(503\) | 14.8092 | + | 14.8092i | 0.660309 | + | 0.660309i | 0.955453 | − | 0.295144i | \(-0.0953676\pi\) |
−0.295144 | + | 0.955453i | \(0.595368\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.86645 | − | 2.86645i | 0.127556 | − | 0.127556i | ||||
\(506\) | 0.554363 | − | 2.62171i | 0.0246444 | − | 0.116549i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −7.46342 | − | 19.3205i | −0.331136 | − | 0.857211i | ||||
\(509\) | 1.73239 | + | 2.25769i | 0.0767867 | + | 0.100070i | 0.830167 | − | 0.557514i | \(-0.188245\pi\) |
−0.753381 | + | 0.657585i | \(0.771578\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.827127 | − | 0.477542i | 0.0365899 | − | 0.0211252i | ||||
\(512\) | 22.5397 | − | 1.99011i | 0.996125 | − | 0.0879511i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0.440124 | − | 1.24707i | 0.0194130 | − | 0.0550057i | ||||
\(515\) | 0.0128474 | + | 0.0975856i | 0.000566124 | + | 0.00430014i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.757726 | + | 0.0997565i | 0.0333247 | + | 0.00438728i | ||||
\(518\) | 0.704156 | + | 2.15939i | 0.0309388 | + | 0.0948782i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −13.8753 | − | 7.47675i | −0.608474 | − | 0.327877i | ||||
\(521\) | −17.3570 | + | 17.3570i | −0.760426 | + | 0.760426i | −0.976399 | − | 0.215973i | \(-0.930708\pi\) |
0.215973 | + | 0.976399i | \(0.430708\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −11.8890 | − | 28.7025i | −0.519868 | − | 1.25507i | −0.937984 | − | 0.346679i | \(-0.887309\pi\) |
0.418115 | − | 0.908394i | \(-0.362691\pi\) | |||||||
\(524\) | 16.4695 | − | 27.0039i | 0.719473 | − | 1.17967i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.766717 | − | 9.87567i | 0.0334304 | − | 0.430600i | ||||
\(527\) | −5.19223 | − | 2.99773i | −0.226177 | − | 0.130583i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −17.3785 | + | 10.0335i | −0.755585 | + | 0.436237i | ||||
\(530\) | −9.41432 | − | 19.6839i | −0.408932 | − | 0.855014i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.408803 | + | 1.39090i | −0.0177238 | + | 0.0603031i | ||||
\(533\) | −7.78004 | + | 10.1391i | −0.336991 | + | 0.439175i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −3.90303 | − | 14.5663i | −0.168743 | − | 0.629756i | ||||
\(536\) | −9.60147 | + | 25.2520i | −0.414721 | + | 1.09072i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −8.09560 | + | 38.2860i | −0.349026 | + | 1.65063i | ||||
\(539\) | 2.95129 | + | 7.12505i | 0.127121 | + | 0.306898i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −21.3742 | − | 8.85350i | −0.918950 | − | 0.380642i | −0.127474 | − | 0.991842i | \(-0.540687\pi\) |
−0.791476 | + | 0.611200i | \(0.790687\pi\) | |||||||
\(542\) | −6.33126 | − | 33.9598i | −0.271951 | − | 1.45870i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −7.55980 | − | 5.73754i | −0.324124 | − | 0.245995i | ||||
\(545\) | −13.2709 | − | 7.66197i | −0.568463 | − | 0.328203i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −26.1850 | + | 3.44731i | −1.11959 | + | 0.147397i | −0.667523 | − | 0.744589i | \(-0.732646\pi\) |
−0.452064 | + | 0.891985i | \(0.649312\pi\) | |||||||
\(548\) | −28.2010 | + | 3.02441i | −1.20469 | + | 0.129196i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −3.37589 | + | 3.75730i | −0.143949 | + | 0.160212i | ||||
\(551\) | 26.6106 | + | 7.13029i | 1.13365 | + | 0.303761i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.257745 | − | 0.0690627i | 0.0109604 | − | 0.00293684i | ||||
\(554\) | 16.4071 | − | 32.2852i | 0.697072 | − | 1.37167i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 43.7082 | − | 10.5913i | 1.85364 | − | 0.449171i | ||||
\(557\) | −4.58647 | − | 1.89978i | −0.194335 | − | 0.0804962i | 0.283394 | − | 0.959004i | \(-0.408540\pi\) |
−0.477728 | + | 0.878508i | \(0.658540\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −36.9496 | −1.56280 | ||||||||
\(560\) | −0.860117 | + | 0.308687i | −0.0363466 | + | 0.0130444i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 11.8468 | + | 0.919747i | 0.499726 | + | 0.0387972i | ||||
\(563\) | 15.6318 | + | 20.3717i | 0.658801 | + | 0.858566i | 0.996578 | − | 0.0826601i | \(-0.0263416\pi\) |
−0.337777 | + | 0.941226i | \(0.609675\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 5.81520 | + | 4.46216i | 0.244647 | + | 0.187724i | ||||
\(566\) | 26.7063 | − | 1.42796i | 1.12255 | − | 0.0600217i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.417424 | + | 0.0988141i | 0.0175147 | + | 0.00414615i | ||||
\(569\) | −1.71882 | + | 6.41471i | −0.0720566 | + | 0.268919i | −0.992550 | − | 0.121840i | \(-0.961121\pi\) |
0.920493 | + | 0.390759i | \(0.127787\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 1.62885 | − | 12.3724i | 0.0681654 | − | 0.517767i | −0.922966 | − | 0.384882i | \(-0.874242\pi\) |
0.991131 | − | 0.132886i | \(-0.0424244\pi\) | |||||||
\(572\) | −3.33815 | − | 8.64146i | −0.139575 | − | 0.361318i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.135802 | + | 0.728421i | 0.00566828 | + | 0.0304037i | ||||
\(575\) | −5.52879 | −0.230566 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 4.77050 | 0.198599 | 0.0992993 | − | 0.995058i | \(-0.468340\pi\) | ||||
0.0992993 | + | 0.995058i | \(0.468340\pi\) | |||||||
\(578\) | −3.67671 | − | 19.7213i | −0.152931 | − | 0.820296i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 6.25758 | + | 16.1990i | 0.259832 | + | 0.672626i | ||||
\(581\) | −0.108992 | + | 0.827873i | −0.00452173 | + | 0.0343460i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 3.31916 | − | 12.3873i | 0.137466 | − | 0.513029i | ||||
\(584\) | 3.62562 | − | 15.3158i | 0.150029 | − | 0.633774i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −34.0600 | + | 1.82116i | −1.40701 | + | 0.0752313i | ||||
\(587\) | 15.6570 | + | 12.0140i | 0.646232 | + | 0.495872i | 0.879100 | − | 0.476637i | \(-0.158144\pi\) |
−0.232868 | + | 0.972508i | \(0.574811\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 9.18771 | + | 11.9737i | 0.378573 | + | 0.493366i | ||||
\(590\) | −6.14565 | − | 0.477129i | −0.253012 | − | 0.0196431i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 33.8512 | + | 15.9706i | 1.39128 | + | 0.656389i | ||||
\(593\) | −15.1394 | −0.621700 | −0.310850 | − | 0.950459i | \(-0.600614\pi\) | ||||
−0.310850 | + | 0.950459i | \(0.600614\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.354109 | + | 0.146677i | 0.0145170 | + | 0.00601315i | ||||
\(596\) | 28.4104 | − | 6.88437i | 1.16374 | − | 0.281995i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 4.59382 | − | 9.03953i | 0.187855 | − | 0.369654i | ||||
\(599\) | 45.1048 | − | 12.0858i | 1.84293 | − | 0.493812i | 0.843846 | − | 0.536585i | \(-0.180286\pi\) |
0.999085 | + | 0.0427730i | \(0.0136192\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 39.8381 | + | 10.6746i | 1.62503 | + | 0.435426i | 0.952474 | − | 0.304619i | \(-0.0985292\pi\) |
0.672557 | + | 0.740045i | \(0.265196\pi\) | |||||||
\(602\) | −1.43178 | + | 1.59354i | −0.0583550 | + | 0.0649479i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −46.0563 | + | 4.93929i | −1.87400 | + | 0.200977i | ||||
\(605\) | −12.9011 | + | 1.69846i | −0.524504 | + | 0.0690523i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −10.2159 | − | 5.89815i | −0.414651 | − | 0.239399i | 0.278135 | − | 0.960542i | \(-0.410284\pi\) |
−0.692786 | + | 0.721143i | \(0.743617\pi\) | |||||||
\(608\) | 12.0546 | + | 20.6264i | 0.488879 | + | 0.836509i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −3.39664 | − | 18.2190i | −0.137526 | − | 0.737665i | ||||
\(611\) | 2.67182 | + | 1.10670i | 0.108090 | + | 0.0447724i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 9.99410 | + | 24.1279i | 0.403658 | + | 0.974516i | 0.986770 | + | 0.162125i | \(0.0518347\pi\) |
−0.583113 | + | 0.812391i | \(0.698165\pi\) | |||||||
\(614\) | 0.197024 | − | 0.931773i | 0.00795125 | − | 0.0376033i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.502036 | − | 0.190887i | −0.0202276 | − | 0.00769106i | ||||
\(617\) | −0.938379 | − | 3.50208i | −0.0377777 | − | 0.140988i | 0.944461 | − | 0.328623i | \(-0.106585\pi\) |
−0.982239 | + | 0.187635i | \(0.939918\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 29.8563 | − | 38.9094i | 1.20002 | − | 1.56390i | 0.465989 | − | 0.884791i | \(-0.345699\pi\) |
0.734035 | − | 0.679111i | \(-0.237635\pi\) | |||||||
\(620\) | −2.68266 | + | 9.12740i | −0.107738 | + | 0.366565i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 10.3548 | + | 21.6502i | 0.415188 | + | 0.868095i | ||||
\(623\) | 2.25569 | − | 1.30232i | 0.0903723 | − | 0.0521765i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.35351 | + | 0.781451i | 0.0541405 | + | 0.0312581i | ||||
\(626\) | 0.282623 | − | 3.64032i | 0.0112959 | − | 0.145496i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −13.2603 | + | 21.7420i | −0.529142 | + | 0.867598i | ||||
\(629\) | −6.00770 | − | 14.5039i | −0.239543 | − | 0.578307i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 22.5852 | − | 22.5852i | 0.899104 | − | 0.899104i | −0.0962531 | − | 0.995357i | \(-0.530686\pi\) |
0.995357 | + | 0.0962531i | \(0.0306858\pi\) | |||||||
\(632\) | 2.08593 | − | 3.87107i | 0.0829739 | − | 0.153983i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −5.83714 | − | 17.9004i | −0.231822 | − | 0.710915i | ||||
\(635\) | 13.6666 | + | 1.79924i | 0.542343 | + | 0.0714008i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3.80906 | + | 28.9327i | 0.150920 | + | 1.14635i | ||||
\(638\) | −3.39684 | + | 9.62474i | −0.134482 | + | 0.381047i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −6.02309 | + | 13.8024i | −0.238084 | + | 0.545587i | ||||
\(641\) | 40.3410 | − | 23.2909i | 1.59337 | − | 0.919935i | 0.600652 | − | 0.799511i | \(-0.294908\pi\) |
0.992723 | − | 0.120424i | \(-0.0384255\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 5.47177 | + | 7.13095i | 0.215786 | + | 0.281217i | 0.888686 | − | 0.458515i | \(-0.151619\pi\) |
−0.672901 | + | 0.739733i | \(0.734952\pi\) | |||||||
\(644\) | −0.211843 | − | 0.548398i | −0.00834779 | − | 0.0216099i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 2.07297 | − | 9.80355i | 0.0815598 | − | 0.385716i | ||||
\(647\) | 26.5185 | − | 26.5185i | 1.04255 | − | 1.04255i | 0.0434948 | − | 0.999054i | \(-0.486151\pi\) |
0.999054 | − | 0.0434948i | \(-0.0138492\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −2.56181 | − | 2.56181i | −0.100560 | − | 0.100560i | ||||
\(650\) | −16.0188 | + | 10.4268i | −0.628308 | + | 0.408974i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.00829178 | + | 0.344516i | −0.000324731 | + | 0.0134923i | ||||
\(653\) | −0.0661667 | + | 0.0507715i | −0.00258930 | + | 0.00198684i | −0.610055 | − | 0.792359i | \(-0.708853\pi\) |
0.607466 | + | 0.794346i | \(0.292186\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 10.5254 | + | 18.2306i | 0.411262 | + | 0.712327i | ||||
\(656\) | 10.2688 | + | 6.60701i | 0.400930 | + | 0.257961i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.151261 | − | 0.0723444i | 0.00589677 | − | 0.00282028i | ||||
\(659\) | 25.0738 | − | 3.30103i | 0.976738 | − | 0.128590i | 0.374777 | − | 0.927115i | \(-0.377719\pi\) |
0.601962 | + | 0.798525i | \(0.294386\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 3.99309 | − | 30.3305i | 0.155313 | − | 1.17972i | −0.719230 | − | 0.694772i | \(-0.755505\pi\) |
0.874543 | − | 0.484948i | \(-0.161161\pi\) | |||||||
\(662\) | 12.1049 | + | 6.15161i | 0.470469 | + | 0.239089i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 8.69368 | + | 10.6664i | 0.337380 | + | 0.413936i | ||||
\(665\) | −0.682249 | − | 0.682249i | −0.0264565 | − | 0.0264565i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −10.3214 | + | 4.27525i | −0.399644 | + | 0.165538i | ||||
\(668\) | 16.8123 | + | 23.0375i | 0.650488 | + | 0.891347i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −11.6915 | − | 13.6597i | −0.451683 | − | 0.527720i | ||||
\(671\) | 5.44632 | − | 9.43331i | 0.210253 | − | 0.364169i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −14.0254 | − | 24.2927i | −0.540640 | − | 0.936415i | −0.998867 | − | 0.0475804i | \(-0.984849\pi\) |
0.458228 | − | 0.888835i | \(-0.348484\pi\) | |||||||
\(674\) | 0.247005 | − | 0.699873i | 0.00951426 | − | 0.0269581i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −0.965456 | − | 9.00236i | −0.0371329 | − | 0.346244i | ||||
\(677\) | −28.7439 | − | 22.0560i | −1.10472 | − | 0.847679i | −0.115380 | − | 0.993321i | \(-0.536809\pi\) |
−0.989337 | + | 0.145642i | \(0.953475\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.28852 | + | 0.613207i | −0.0878254 | + | 0.0235327i | ||||
\(680\) | 5.76201 | − | 2.58736i | 0.220963 | − | 0.0992209i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −4.68621 | + | 3.05032i | −0.179444 | + | 0.116803i | ||||
\(683\) | −2.07795 | + | 0.860717i | −0.0795107 | + | 0.0329344i | −0.422084 | − | 0.906557i | \(-0.638701\pi\) |
0.342574 | + | 0.939491i | \(0.388701\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 7.22367 | − | 17.4395i | 0.276002 | − | 0.666328i | ||||
\(686\) | 2.79668 | + | 1.91775i | 0.106778 | + | 0.0732201i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 2.91884 | + | 35.1825i | 0.111280 | + | 1.34132i | ||||
\(689\) | 24.2633 | − | 42.0253i | 0.924359 | − | 1.60104i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 4.92842 | + | 37.4350i | 0.187486 | + | 1.42410i | 0.783634 | + | 0.621222i | \(0.213364\pi\) |
−0.596149 | + | 0.802874i | \(0.703303\pi\) | |||||||
\(692\) | 3.38535 | + | 6.20368i | 0.128692 | + | 0.235829i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −2.71320 | − | 50.7434i | −0.102992 | − | 1.92619i | ||||
\(695\) | −7.74676 | + | 28.9113i | −0.293851 | + | 1.09667i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.32554 | − | 4.94697i | −0.0502083 | − | 0.187380i | ||||
\(698\) | 38.8702 | − | 12.6752i | 1.47126 | − | 0.479763i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.171038 | + | 1.09488i | −0.00646462 | + | 0.0413827i | ||||
\(701\) | 17.1061 | − | 41.2978i | 0.646089 | − | 1.55980i | −0.172245 | − | 0.985054i | \(-0.555102\pi\) |
0.818334 | − | 0.574743i | \(-0.194898\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 39.5190i | 1.49049i | ||||||||
\(704\) | −7.96449 | + | 3.86114i | −0.300173 | + | 0.145522i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.12272 | + | 1.31172i | 0.0422542 | + | 0.0493674i | ||||
\(707\) | 0.414698 | − | 0.318209i | 0.0155963 | − | 0.0119675i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −12.8537 | + | 16.7512i | −0.482730 | + | 0.629106i | −0.969696 | − | 0.244315i | \(-0.921437\pi\) |
0.486966 | + | 0.873421i | \(0.338104\pi\) | |||||||
\(710\) | −0.190804 | + | 0.212361i | −0.00716076 | + | 0.00796977i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 9.88756 | − | 41.7684i | 0.370552 | − | 1.56534i | ||||
\(713\) | −5.91173 | − | 1.58404i | −0.221396 | − | 0.0593228i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.11264 | + | 0.804744i | 0.228600 | + | 0.0300957i | ||||
\(716\) | 1.09958 | − | 45.6867i | 0.0410934 | − | 1.70739i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −10.6271 | − | 7.28727i | −0.396600 | − | 0.271958i | ||||
\(719\) | − | 24.2360i | − | 0.903851i | −0.892056 | − | 0.451926i | \(-0.850737\pi\) | ||
0.892056 | − | 0.451926i | \(-0.149263\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.0126918i | 0.000472666i | ||||||||
\(722\) | 0.930748 | − | 1.35732i | 0.0346389 | − | 0.0505143i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −21.4121 | + | 20.4056i | −0.795775 | + | 0.758370i | ||||
\(725\) | 20.8783 | + | 2.74868i | 0.775401 | + | 0.102084i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −5.52453 | − | 1.48029i | −0.204893 | − | 0.0549010i | 0.154912 | − | 0.987928i | \(-0.450490\pi\) |
−0.359806 | + | 0.933027i | \(0.617157\pi\) | |||||||
\(728\) | −1.64801 | − | 1.18938i | −0.0610794 | − | 0.0440812i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 7.79181 | + | 7.00086i | 0.288388 | + | 0.259113i | ||||
\(731\) | 9.01401 | − | 11.7473i | 0.333395 | − | 0.434489i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −14.8205 | + | 11.3722i | −0.547408 | + | 0.420041i | −0.845090 | − | 0.534624i | \(-0.820453\pi\) |
0.297682 | + | 0.954665i | \(0.403787\pi\) | |||||||
\(734\) | 1.97128 | − | 1.68724i | 0.0727612 | − | 0.0622772i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −8.97010 | − | 3.66005i | −0.330642 | − | 0.134911i | ||||
\(737\) | − | 10.5677i | − | 0.389265i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 12.0562 | − | 29.1063i | 0.443496 | − | 1.07069i | −0.531218 | − | 0.847235i | \(-0.678265\pi\) |
0.974714 | − | 0.223458i | \(-0.0717346\pi\) | |||||||
\(740\) | −20.1221 | + | 14.6847i | −0.739702 | + | 0.539821i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.872252 | − | 2.67488i | −0.0320214 | − | 0.0981979i | ||||
\(743\) | −2.55767 | − | 9.54537i | −0.0938319 | − | 0.350186i | 0.903008 | − | 0.429624i | \(-0.141354\pi\) |
−0.996840 | + | 0.0794385i | \(0.974687\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −5.03540 | + | 18.7924i | −0.184483 | + | 0.688500i | ||||
\(746\) | −17.1108 | + | 0.914898i | −0.626470 | + | 0.0334968i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 3.56171 | + | 1.04683i | 0.130229 | + | 0.0382760i | ||||
\(749\) | −0.253810 | − | 1.92788i | −0.00927401 | − | 0.0704431i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.85776 | − | 6.68183i | 0.140772 | − | 0.243823i | −0.787016 | − | 0.616933i | \(-0.788375\pi\) |
0.927787 | + | 0.373109i | \(0.121708\pi\) | |||||||
\(752\) | 0.842714 | − | 2.63146i | 0.0307306 | − | 0.0959595i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −21.8417 | + | 31.8520i | −0.795428 | + | 1.15998i | ||||
\(755\) | 11.7973 | − | 28.4812i | 0.429347 | − | 1.03654i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −8.34229 | + | 3.45549i | −0.303206 | + | 0.125592i | −0.529099 | − | 0.848560i | \(-0.677470\pi\) |
0.225893 | + | 0.974152i | \(0.427470\pi\) | |||||||
\(758\) | −23.4223 | − | 35.9837i | −0.850736 | − | 1.30699i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −15.8932 | + | 0.466677i | −0.576506 | + | 0.0169282i | ||||
\(761\) | 18.5256 | − | 4.96391i | 0.671551 | − | 0.179942i | 0.0930979 | − | 0.995657i | \(-0.470323\pi\) |
0.578454 | + | 0.815715i | \(0.303656\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.56762 | − | 1.20288i | −0.0567518 | − | 0.0435472i | ||||
\(764\) | 34.1453 | + | 27.5309i | 1.23533 | + | 0.996032i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −3.45874 | − | 1.22069i | −0.124969 | − | 0.0441052i | ||||
\(767\) | −6.85457 | − | 11.8725i | −0.247504 | − | 0.428690i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −3.01344 | + | 5.21944i | −0.108668 | + | 0.188218i | −0.915231 | − | 0.402930i | \(-0.867992\pi\) |
0.806563 | + | 0.591148i | \(0.201325\pi\) | |||||||
\(770\) | 0.271569 | − | 0.232439i | 0.00978666 | − | 0.00837652i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 4.22530 | − | 27.0479i | 0.152072 | − | 0.973475i | ||||
\(773\) | −24.7943 | + | 10.2701i | −0.891790 | + | 0.369391i | −0.781058 | − | 0.624459i | \(-0.785320\pi\) |
−0.110732 | + | 0.993850i | \(0.535320\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 8.15758 | + | 8.15758i | 0.293029 | + | 0.293029i | ||||
\(776\) | −18.5210 | + | 34.3712i | −0.664865 | + | 1.23385i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 22.2046 | − | 43.6932i | 0.796072 | − | 1.56648i | ||||
\(779\) | −1.68279 | + | 12.7821i | −0.0602923 | + | 0.457965i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.166359 | + | 0.0219016i | −0.00595280 | + | 0.000783701i | ||||
\(782\) | 1.75323 | + | 3.66573i | 0.0626953 | + | 0.131086i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 27.2481 | − | 5.91243i | 0.973146 | − | 0.211158i | ||||
\(785\) | −8.47445 | − | 14.6782i | −0.302466 | − | 0.523886i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 11.6629 | − | 8.94929i | 0.415739 | − | 0.319008i | −0.379624 | − | 0.925141i | \(-0.623947\pi\) |
0.795363 | + | 0.606133i | \(0.207280\pi\) | |||||||
\(788\) | −26.3272 | + | 25.0897i | −0.937869 | + | 0.893785i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 1.59651 | + | 2.45273i | 0.0568014 | + | 0.0872642i | ||||
\(791\) | 0.668325 | + | 0.668325i | 0.0237629 | + | 0.0237629i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 29.1451 | − | 29.1451i | 1.03497 | − | 1.03497i | ||||
\(794\) | 28.6565 | + | 6.05944i | 1.01698 | + | 0.215042i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −9.50821 | − | 4.20923i | −0.337009 | − | 0.149192i | ||||
\(797\) | −3.11638 | − | 4.06134i | −0.110388 | − | 0.143860i | 0.734892 | − | 0.678184i | \(-0.237233\pi\) |
−0.845280 | + | 0.534324i | \(0.820566\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −1.00365 | + | 0.579458i | −0.0355066 | + | 0.0204998i | ||||
\(800\) | 11.1936 | + | 14.4290i | 0.395752 | + | 0.510142i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −24.6468 | − | 8.69853i | −0.870308 | − | 0.307156i | ||||
\(803\) | 0.803599 | + | 6.10394i | 0.0283584 | + | 0.215403i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.387915 | + | 0.0510700i | 0.0136722 | + | 0.00179998i | ||||
\(806\) | −20.1156 | + | 6.55951i | −0.708543 | + | 0.231049i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0.873203 | − | 8.56962i | 0.0307192 | − | 0.301478i | ||||
\(809\) | −25.1234 | + | 25.1234i | −0.883292 | + | 0.883292i | −0.993868 | − | 0.110576i | \(-0.964731\pi\) |
0.110576 | + | 0.993868i | \(0.464731\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 9.44355 | + | 22.7987i | 0.331608 | + | 0.800572i | 0.998465 | + | 0.0553866i | \(0.0176391\pi\) |
−0.666857 | + | 0.745186i | \(0.732361\pi\) | |||||||
\(812\) | 0.527341 | + | 2.17623i | 0.0185060 | + | 0.0763707i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −14.5972 | − | 1.13328i | −0.511632 | − | 0.0397215i | ||||
\(815\) | −0.198626 | − | 0.114677i | −0.00695757 | − | 0.00401695i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −32.2804 | + | 18.6371i | −1.12935 | + | 0.652029i | ||||
\(818\) | −30.6117 | + | 14.6408i | −1.07031 | + | 0.511904i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −7.13361 | + | 3.89281i | −0.249117 | + | 0.135943i | ||||
\(821\) | −9.15110 | + | 11.9259i | −0.319375 | + | 0.416218i | −0.925259 | − | 0.379335i | \(-0.876153\pi\) |
0.605884 | + | 0.795553i | \(0.292820\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −2.05496 | − | 7.66921i | −0.0716314 | − | 0.267332i | 0.920817 | − | 0.389995i | \(-0.127523\pi\) |
−0.992448 | + | 0.122663i | \(0.960857\pi\) | |||||||
\(824\) | 0.152170 | + | 0.143488i | 0.00530108 | + | 0.00499865i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −0.777641 | − | 0.164433i | −0.0270576 | − | 0.00572135i | ||||
\(827\) | −8.68350 | − | 20.9638i | −0.301955 | − | 0.728983i | −0.999917 | − | 0.0128492i | \(-0.995910\pi\) |
0.697963 | − | 0.716134i | \(-0.254090\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 12.1233 | + | 5.02164i | 0.421060 | + | 0.174409i | 0.583145 | − | 0.812368i | \(-0.301822\pi\) |
−0.162085 | + | 0.986777i | \(0.551822\pi\) | |||||||
\(830\) | −9.00297 | + | 1.67846i | −0.312498 | + | 0.0582602i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −32.8919 | + | 6.31246i | −1.14032 | + | 0.218845i | ||||
\(833\) | −10.1277 | − | 5.84724i | −0.350905 | − | 0.202595i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −18.8185 | + | 2.47751i | −0.651242 | + | 0.0857377i | ||||
\(836\) | −7.27500 | − | 5.86573i | −0.251611 | − | 0.202870i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −35.2892 | − | 31.7069i | −1.21904 | − | 1.09530i | ||||
\(839\) | 13.2373 | + | 3.54691i | 0.457001 | + | 0.122453i | 0.479973 | − | 0.877283i | \(-0.340646\pi\) |
−0.0229725 | + | 0.999736i | \(0.507313\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 13.0901 | − | 3.50747i | 0.451382 | − | 0.120947i | ||||
\(842\) | −4.24437 | − | 2.15696i | −0.146271 | − | 0.0743338i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 6.35852 | − | 10.4256i | 0.218869 | − | 0.358865i | ||||
\(845\) | 5.56705 | + | 2.30595i | 0.191512 | + | 0.0793271i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1.67789 | −0.0576529 | ||||||||
\(848\) | −41.9321 | − | 19.7831i | −1.43996 | − | 0.679356i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0.592872 | − | 7.63647i | 0.0203353 | − | 0.261929i | ||||
\(851\) | −9.75581 | − | 12.7140i | −0.334425 | − | 0.435831i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −6.40539 | − | 4.91503i | −0.219316 | − | 0.168287i | 0.493260 | − | 0.869882i | \(-0.335805\pi\) |
−0.712576 | + | 0.701595i | \(0.752472\pi\) | |||||||
\(854\) | −0.127594 | − | 2.38632i | −0.00436619 | − | 0.0816581i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −25.9840 | − | 18.7527i | −0.888115 | − | 0.640955i | ||||
\(857\) | −5.49593 | + | 20.5111i | −0.187737 | + | 0.700645i | 0.806291 | + | 0.591520i | \(0.201472\pi\) |
−0.994028 | + | 0.109126i | \(0.965195\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 3.90378 | − | 29.6522i | 0.133195 | − | 1.01172i | −0.786086 | − | 0.618117i | \(-0.787896\pi\) |
0.919281 | − | 0.393602i | \(-0.128771\pi\) | |||||||
\(860\) | −21.4845 | − | 9.51107i | −0.732615 | − | 0.324325i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 28.7743 | − | 5.36451i | 0.980057 | − | 0.182716i | ||||
\(863\) | −50.2980 | −1.71216 | −0.856082 | − | 0.516840i | \(-0.827108\pi\) | ||||
−0.856082 | + | 0.516840i | \(0.827108\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −4.70351 | −0.159924 | ||||||||
\(866\) | 2.78618 | − | 0.519438i | 0.0946782 | − | 0.0176512i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.496577 | + | 1.12171i | −0.0168549 | + | 0.0380735i | ||||
\(869\) | −0.224515 | + | 1.70536i | −0.00761614 | + | 0.0578503i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 10.3496 | − | 38.6252i | 0.350682 | − | 1.30876i | ||||
\(872\) | −32.1450 | + | 5.19595i | −1.08857 | + | 0.175957i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.546150 | − | 10.2143i | −0.0184738 | − | 0.345504i | ||||
\(875\) | −1.49135 | − | 1.14436i | −0.0504170 | − | 0.0386863i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −14.9730 | − | 19.5132i | −0.505604 | − | 0.658916i | 0.468909 | − | 0.883246i | \(-0.344647\pi\) |
−0.974513 | + | 0.224331i | \(0.927980\pi\) | |||||||
\(878\) | −1.67858 | + | 21.6209i | −0.0566494 | + | 0.729670i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.283389 | − | 5.88387i | 0.00955305 | − | 0.198345i | ||||
\(881\) | 14.3584 | 0.483747 | 0.241873 | − | 0.970308i | \(-0.422238\pi\) | ||||
0.241873 | + | 0.970308i | \(0.422238\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 38.1415 | + | 15.7987i | 1.28357 | + | 0.531670i | 0.917061 | − | 0.398746i | \(-0.130555\pi\) |
0.366504 | + | 0.930417i | \(0.380555\pi\) | |||||||
\(884\) | 11.9930 | + | 7.31442i | 0.403367 | + | 0.246011i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 6.69258 | + | 3.40112i | 0.224842 | + | 0.114263i | ||||
\(887\) | 10.4313 | − | 2.79505i | 0.350248 | − | 0.0938486i | −0.0794060 | − | 0.996842i | \(-0.525302\pi\) |
0.429654 | + | 0.902994i | \(0.358636\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1.71688 | + | 0.460038i | 0.0575825 | + | 0.0154292i | ||||
\(890\) | 21.2493 | + | 19.0923i | 0.712280 | + | 0.639976i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 13.2601 | − | 16.4459i | 0.443981 | − | 0.550650i | ||||
\(893\) | 2.89240 | − | 0.380791i | 0.0967904 | − | 0.0127427i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 26.3401 | + | 15.2074i | 0.880451 | + | 0.508329i | ||||
\(896\) | −1.00231 | + | 1.66315i | −0.0334848 | + | 0.0555620i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 17.1899 | − | 3.20479i | 0.573636 | − | 0.106945i | ||||
\(899\) | 21.5369 | + | 8.92087i | 0.718295 | + | 0.297528i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 7.44185 | + | 17.9662i | 0.247924 | + | 0.598542i | ||||
\(902\) | −4.67308 | − | 0.988126i | −0.155597 | − | 0.0329010i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 15.5688 | − | 0.457152i | 0.517810 | − | 0.0152047i | ||||
\(905\) | −5.09493 | − | 19.0145i | −0.169361 | − | 0.632065i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 23.6581 | − | 30.8319i | 0.785556 | − | 1.02376i | −0.213350 | − | 0.976976i | \(-0.568437\pi\) |
0.998905 | − | 0.0467802i | \(-0.0148960\pi\) | |||||||
\(908\) | 21.1732 | + | 38.8001i | 0.702658 | + | 1.28763i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 1.22024 | − | 0.583609i | 0.0404504 | − | 0.0193464i | ||||
\(911\) | 15.1765 | − | 8.76218i | 0.502821 | − | 0.290304i | −0.227057 | − | 0.973882i | \(-0.572910\pi\) |
0.729878 | + | 0.683578i | \(0.239577\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −4.66150 | − | 2.69132i | −0.154273 | − | 0.0890697i | ||||
\(914\) | −34.6671 | − | 2.69144i | −1.14668 | − | 0.0890251i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −2.02257 | + | 0.490107i | −0.0668277 | + | 0.0161936i | ||||
\(917\) | 1.03876 | + | 2.50778i | 0.0343028 | + | 0.0828143i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 9.98940 | − | 9.98940i | 0.329520 | − | 0.329520i | −0.522884 | − | 0.852404i | \(-0.675144\pi\) |
0.852404 | + | 0.522884i | \(0.175144\pi\) | |||||||
\(920\) | 4.99793 | − | 4.07359i | 0.164777 | − | 0.134302i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −24.2560 | + | 7.90963i | −0.798827 | + | 0.260490i | ||||
\(923\) | −0.629499 | − | 0.0828751i | −0.0207202 | − | 0.00272787i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.94293 | + | 29.9495i | 0.129643 | + | 0.984735i | ||||
\(926\) | 31.0006 | + | 10.9410i | 1.01874 | + | 0.359543i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 32.0541 | + | 18.2810i | 1.05223 | + | 0.600102i | ||||
\(929\) | −29.8614 | + | 17.2405i | −0.979720 | + | 0.565642i | −0.902186 | − | 0.431348i | \(-0.858038\pi\) |
−0.0775347 | + | 0.996990i | \(0.524705\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 17.9211 | + | 23.3553i | 0.587341 | + | 0.765438i | ||||
\(932\) | 17.0804 | − | 38.5828i | 0.559487 | − | 1.26382i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −44.8237 | − | 9.47800i | −1.46668 | − | 0.310130i | ||||
\(935\) | −1.74705 | + | 1.74705i | −0.0571348 | + | 0.0571348i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 15.4659 | + | 15.4659i | 0.505248 | + | 0.505248i | 0.913064 | − | 0.407816i | \(-0.133710\pi\) |
−0.407816 | + | 0.913064i | \(0.633710\pi\) | |||||||
\(938\) | −1.26476 | − | 1.94306i | −0.0412960 | − | 0.0634432i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 1.26867 | + | 1.33124i | 0.0413793 | + | 0.0434202i | ||||
\(941\) | 20.1018 | − | 15.4247i | 0.655301 | − | 0.502830i | −0.226769 | − | 0.973949i | \(-0.572816\pi\) |
0.882070 | + | 0.471119i | \(0.156150\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −2.61404 | − | 4.52766i | −0.0851250 | − | 0.147441i | ||||
\(944\) | −10.7632 | + | 7.46462i | −0.350312 | + | 0.242953i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −5.95832 | − | 12.4579i | −0.193722 | − | 0.405042i | ||||
\(947\) | −42.1317 | + | 5.54675i | −1.36910 | + | 0.180245i | −0.778968 | − | 0.627064i | \(-0.784256\pi\) |
−0.590129 | + | 0.807309i | \(0.700923\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −3.04080 | + | 23.0971i | −0.0987084 | + | 0.749765i | ||||
\(950\) | −8.73531 | + | 17.1890i | −0.283411 | + | 0.557683i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.780174 | − | 0.233795i | 0.0252856 | − | 0.00757734i | ||||
\(953\) | −11.7909 | − | 11.7909i | −0.381943 | − | 0.381943i | 0.489859 | − | 0.871802i | \(-0.337048\pi\) |
−0.871802 | + | 0.489859i | \(0.837048\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −26.9694 | + | 11.1711i | −0.872710 | + | 0.361488i | ||||
\(956\) | −25.3088 | − | 3.95362i | −0.818544 | − | 0.127869i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −45.4357 | + | 38.8890i | −1.46796 | + | 1.25645i | ||||
\(959\) | 1.21701 | − | 2.10792i | 0.0392992 | − | 0.0680682i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −9.11462 | − | 15.7870i | −0.294020 | − | 0.509258i | ||||
\(962\) | −52.2434 | − | 18.4382i | −1.68440 | − | 0.594470i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −8.21059 | + | 10.1832i | −0.264445 | + | 0.327980i | ||||
\(965\) | 14.4546 | + | 11.0914i | 0.465310 | + | 0.357045i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −21.1540 | + | 5.66820i | −0.680267 | + | 0.182277i | −0.582375 | − | 0.812920i | \(-0.697877\pi\) |
−0.0978919 | + | 0.995197i | \(0.531210\pi\) | |||||||
\(968\) | −18.9695 | + | 20.1173i | −0.609704 | + | 0.646593i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −14.1754 | − | 21.7778i | −0.455146 | − | 0.699242i | ||||
\(971\) | 52.9107 | − | 21.9163i | 1.69798 | − | 0.703328i | 0.698065 | − | 0.716035i | \(-0.254045\pi\) |
0.999919 | + | 0.0127064i | \(0.00404470\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −1.47696 | + | 3.56569i | −0.0473491 | + | 0.114311i | ||||
\(974\) | 10.1067 | − | 14.7387i | 0.323839 | − | 0.472258i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −30.0536 | − | 25.4490i | −0.961993 | − | 0.814602i | ||||
\(977\) | 10.6302 | − | 18.4121i | 0.340091 | − | 0.589054i | −0.644359 | − | 0.764723i | \(-0.722876\pi\) |
0.984449 | + | 0.175669i | \(0.0562089\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 2.19153 | + | 16.6463i | 0.0700415 | + | 0.532018i | ||||
\(980\) | −5.23267 | + | 17.8035i | −0.167152 | + | 0.568712i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 9.14412 | − | 0.488927i | 0.291800 | − | 0.0156023i | ||||
\(983\) | −2.72427 | + | 10.1671i | −0.0868908 | + | 0.324281i | −0.995666 | − | 0.0930062i | \(-0.970352\pi\) |
0.908775 | + | 0.417287i | \(0.137019\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −6.26447 | − | 23.3793i | −0.199602 | − | 0.744927i | ||||
\(986\) | −4.79826 | − | 14.7145i | −0.152808 | − | 0.468605i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −20.8457 | − | 28.5643i | −0.663190 | − | 0.908752i | ||||
\(989\) | 5.78439 | − | 13.9648i | 0.183933 | − | 0.444054i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 28.2543i | − | 0.897526i | −0.893651 | − | 0.448763i | \(-0.851865\pi\) | ||
0.893651 | − | 0.448763i | \(-0.148135\pi\) | |||||||
\(992\) | 7.83484 | + | 18.6354i | 0.248756 | + | 0.591676i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.0279670 | + | 0.0239373i | −0.000887059 | + | 0.000759245i | ||||
\(995\) | 5.49032 | − | 4.21287i | 0.174055 | − | 0.133557i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 14.8684 | − | 19.3768i | 0.470886 | − | 0.613670i | −0.496173 | − | 0.868224i | \(-0.665262\pi\) |
0.967059 | + | 0.254554i | \(0.0819285\pi\) | |||||||
\(998\) | 34.8618 | + | 31.3230i | 1.10353 | + | 0.991511i | ||||
\(999\) | 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 | 864.2.bn.a.611.25 | 368 | ||
3.2 | odd | 2 | 288.2.bf.a.131.22 | yes | 368 | ||
9.2 | odd | 6 | inner | 864.2.bn.a.35.10 | 368 | ||
9.7 | even | 3 | 288.2.bf.a.227.37 | yes | 368 | ||
32.11 | odd | 8 | inner | 864.2.bn.a.395.10 | 368 | ||
96.11 | even | 8 | 288.2.bf.a.203.37 | yes | 368 | ||
288.11 | even | 24 | inner | 864.2.bn.a.683.25 | 368 | ||
288.43 | odd | 24 | 288.2.bf.a.11.22 | ✓ | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
288.2.bf.a.11.22 | ✓ | 368 | 288.43 | odd | 24 | ||
288.2.bf.a.131.22 | yes | 368 | 3.2 | odd | 2 | ||
288.2.bf.a.203.37 | yes | 368 | 96.11 | even | 8 | ||
288.2.bf.a.227.37 | yes | 368 | 9.7 | even | 3 | ||
864.2.bn.a.35.10 | 368 | 9.2 | odd | 6 | inner | ||
864.2.bn.a.395.10 | 368 | 32.11 | odd | 8 | inner | ||
864.2.bn.a.611.25 | 368 | 1.1 | even | 1 | trivial | ||
864.2.bn.a.683.25 | 368 | 288.11 | even | 24 | inner |