Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [75,2,Mod(2,75)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(75, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("75.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 75 = 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 75.l (of order \(20\), degree \(8\), 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: | \(0.598878015160\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 17.6 | ||
Character | \(\chi\) | \(=\) | 75.17 |
Dual form | 75.2.l.a.53.6 |
$q$-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 \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).
\(n\) | \(26\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.710801 | + | 0.362171i | 0.502612 | + | 0.256094i | 0.686865 | − | 0.726785i | \(-0.258986\pi\) |
−0.184253 | + | 0.982879i | \(0.558986\pi\) | |||||||
\(3\) | 1.53227 | + | 0.807549i | 0.884659 | + | 0.466239i | ||||
\(4\) | −0.801501 | − | 1.10317i | −0.400750 | − | 0.551586i | ||||
\(5\) | −0.787273 | + | 2.09289i | −0.352079 | + | 0.935970i | ||||
\(6\) | 0.796670 | + | 1.12895i | 0.325239 | + | 0.460893i | ||||
\(7\) | −2.94096 | − | 2.94096i | −1.11158 | − | 1.11158i | −0.992937 | − | 0.118640i | \(-0.962147\pi\) |
−0.118640 | − | 0.992937i | \(-0.537853\pi\) | |||||||
\(8\) | −0.419762 | − | 2.65027i | −0.148408 | − | 0.937013i | ||||
\(9\) | 1.69573 | + | 2.47477i | 0.565243 | + | 0.824925i | ||||
\(10\) | −1.31758 | + | 1.20250i | −0.416655 | + | 0.380265i | ||||
\(11\) | 0.782956 | − | 0.254398i | 0.236070 | − | 0.0767038i | −0.188593 | − | 0.982055i | \(-0.560393\pi\) |
0.424663 | + | 0.905352i | \(0.360393\pi\) | |||||||
\(12\) | −0.337254 | − | 2.33761i | −0.0973568 | − | 0.674811i | ||||
\(13\) | 0.935601 | + | 1.83622i | 0.259489 | + | 0.509276i | 0.983590 | − | 0.180418i | \(-0.0577450\pi\) |
−0.724101 | + | 0.689694i | \(0.757745\pi\) | |||||||
\(14\) | −1.02530 | − | 3.15556i | −0.274024 | − | 0.843360i | ||||
\(15\) | −2.89643 | + | 2.57112i | −0.747856 | + | 0.663861i | ||||
\(16\) | −0.181263 | + | 0.557870i | −0.0453158 | + | 0.139468i | ||||
\(17\) | −2.17470 | + | 0.344438i | −0.527442 | + | 0.0835386i | −0.414476 | − | 0.910060i | \(-0.636035\pi\) |
−0.112966 | + | 0.993599i | \(0.536035\pi\) | |||||||
\(18\) | 0.309033 | + | 2.37321i | 0.0728398 | + | 0.559372i | ||||
\(19\) | 2.41125 | − | 3.31881i | 0.553179 | − | 0.761386i | −0.437260 | − | 0.899335i | \(-0.644051\pi\) |
0.990439 | + | 0.137949i | \(0.0440510\pi\) | |||||||
\(20\) | 2.93982 | − | 0.808959i | 0.657364 | − | 0.180889i | ||||
\(21\) | −2.13138 | − | 6.88132i | −0.465106 | − | 1.50163i | ||||
\(22\) | 0.648661 | + | 0.102738i | 0.138295 | + | 0.0219038i | ||||
\(23\) | −1.77504 | + | 3.48371i | −0.370122 | + | 0.726404i | −0.998680 | − | 0.0513576i | \(-0.983645\pi\) |
0.628559 | + | 0.777762i | \(0.283645\pi\) | |||||||
\(24\) | 1.49704 | − | 4.39992i | 0.305581 | − | 0.898130i | ||||
\(25\) | −3.76040 | − | 3.29536i | −0.752081 | − | 0.659071i | ||||
\(26\) | 1.64403i | 0.322422i | ||||||||
\(27\) | 0.599818 | + | 5.16142i | 0.115435 | + | 0.993315i | ||||
\(28\) | −0.887199 | + | 5.60156i | −0.167665 | + | 1.05859i | ||||
\(29\) | −0.829148 | + | 0.602411i | −0.153969 | + | 0.111865i | −0.662102 | − | 0.749413i | \(-0.730336\pi\) |
0.508134 | + | 0.861278i | \(0.330336\pi\) | |||||||
\(30\) | −2.98997 | + | 0.778553i | −0.545892 | + | 0.142144i | ||||
\(31\) | 3.51508 | + | 2.55386i | 0.631327 | + | 0.458686i | 0.856860 | − | 0.515549i | \(-0.172412\pi\) |
−0.225532 | + | 0.974236i | \(0.572412\pi\) | |||||||
\(32\) | −4.12566 | + | 4.12566i | −0.729320 | + | 0.729320i | ||||
\(33\) | 1.40514 | + | 0.242468i | 0.244604 | + | 0.0422083i | ||||
\(34\) | −1.67052 | − | 0.542786i | −0.286492 | − | 0.0930870i | ||||
\(35\) | 8.47044 | − | 3.83977i | 1.43177 | − | 0.649040i | ||||
\(36\) | 1.37097 | − | 3.85421i | 0.228495 | − | 0.642369i | ||||
\(37\) | 0.558233 | − | 0.284434i | 0.0917729 | − | 0.0467606i | −0.407502 | − | 0.913204i | \(-0.633600\pi\) |
0.499275 | + | 0.866444i | \(0.333600\pi\) | |||||||
\(38\) | 2.91590 | − | 1.48572i | 0.473021 | − | 0.241016i | ||||
\(39\) | −0.0492414 | + | 3.56914i | −0.00788493 | + | 0.571520i | ||||
\(40\) | 5.87720 | + | 1.20797i | 0.929267 | + | 0.190997i | ||||
\(41\) | 9.52341 | + | 3.09434i | 1.48731 | + | 0.483255i | 0.936287 | − | 0.351237i | \(-0.114239\pi\) |
0.551020 | + | 0.834492i | \(0.314239\pi\) | |||||||
\(42\) | 0.977225 | − | 5.66317i | 0.150789 | − | 0.873846i | ||||
\(43\) | 5.56692 | − | 5.56692i | 0.848947 | − | 0.848947i | −0.141055 | − | 0.990002i | \(-0.545049\pi\) |
0.990002 | + | 0.141055i | \(0.0450494\pi\) | |||||||
\(44\) | −0.908184 | − | 0.659834i | −0.136914 | − | 0.0994737i | ||||
\(45\) | −6.51444 | + | 1.60065i | −0.971115 | + | 0.238612i | ||||
\(46\) | −2.52340 | + | 1.83336i | −0.372055 | + | 0.270314i | ||||
\(47\) | −0.246573 | + | 1.55680i | −0.0359663 | + | 0.227082i | −0.999124 | − | 0.0418562i | \(-0.986673\pi\) |
0.963157 | + | 0.268939i | \(0.0866729\pi\) | |||||||
\(48\) | −0.728253 | + | 0.708431i | −0.105114 | + | 0.102253i | ||||
\(49\) | 10.2984i | 1.47121i | ||||||||
\(50\) | −1.47941 | − | 3.70425i | −0.209221 | − | 0.523860i | ||||
\(51\) | −3.61039 | − | 1.22840i | −0.505555 | − | 0.172011i | ||||
\(52\) | 1.27578 | − | 2.50386i | 0.176919 | − | 0.347223i | ||||
\(53\) | −12.7781 | − | 2.02385i | −1.75520 | − | 0.277997i | −0.805831 | − | 0.592146i | \(-0.798281\pi\) |
−0.949374 | + | 0.314149i | \(0.898281\pi\) | |||||||
\(54\) | −1.44296 | + | 3.88597i | −0.196363 | + | 0.528814i | ||||
\(55\) | −0.0839725 | + | 1.83892i | −0.0113229 | + | 0.247960i | ||||
\(56\) | −6.55983 | + | 9.02884i | −0.876595 | + | 1.20653i | ||||
\(57\) | 6.37480 | − | 3.13811i | 0.844363 | − | 0.415653i | ||||
\(58\) | −0.807535 | + | 0.127901i | −0.106035 | + | 0.0167942i | ||||
\(59\) | 3.55533 | − | 10.9422i | 0.462865 | − | 1.42455i | −0.398783 | − | 0.917045i | \(-0.630567\pi\) |
0.861648 | − | 0.507506i | \(-0.169433\pi\) | |||||||
\(60\) | 5.15788 | + | 1.13450i | 0.665880 | + | 0.146464i | ||||
\(61\) | −0.751809 | − | 2.31383i | −0.0962593 | − | 0.296256i | 0.891321 | − | 0.453374i | \(-0.149780\pi\) |
−0.987580 | + | 0.157118i | \(0.949780\pi\) | |||||||
\(62\) | 1.57359 | + | 3.08834i | 0.199846 | + | 0.392220i | ||||
\(63\) | 2.29114 | − | 12.2653i | 0.288657 | − | 1.54528i | ||||
\(64\) | −3.31097 | + | 1.07580i | −0.413872 | + | 0.134475i | ||||
\(65\) | −4.57959 | + | 0.512507i | −0.568028 | + | 0.0635686i | ||||
\(66\) | 0.910960 | + | 0.681248i | 0.112131 | + | 0.0838558i | ||||
\(67\) | 1.37778 | + | 8.69893i | 0.168322 | + | 1.06274i | 0.916731 | + | 0.399506i | \(0.130818\pi\) |
−0.748409 | + | 0.663238i | \(0.769182\pi\) | |||||||
\(68\) | 2.12300 | + | 2.12300i | 0.257451 | + | 0.257451i | ||||
\(69\) | −5.53312 | + | 3.90457i | −0.666109 | + | 0.470055i | ||||
\(70\) | 7.41145 | + | 0.338436i | 0.885838 | + | 0.0404509i | ||||
\(71\) | −5.06786 | − | 6.97531i | −0.601444 | − | 0.827817i | 0.394395 | − | 0.918941i | \(-0.370954\pi\) |
−0.995840 | + | 0.0911240i | \(0.970954\pi\) | |||||||
\(72\) | 5.84702 | − | 5.53296i | 0.689078 | − | 0.652065i | ||||
\(73\) | −7.14236 | − | 3.63921i | −0.835950 | − | 0.425938i | −0.0170364 | − | 0.999855i | \(-0.505423\pi\) |
−0.818913 | + | 0.573917i | \(0.805423\pi\) | |||||||
\(74\) | 0.499806 | 0.0581013 | ||||||||
\(75\) | −3.10081 | − | 8.08610i | −0.358050 | − | 0.933702i | ||||
\(76\) | −5.59383 | −0.641657 | ||||||||
\(77\) | −3.05081 | − | 1.55447i | −0.347672 | − | 0.177148i | ||||
\(78\) | −1.32764 | + | 2.51911i | −0.150326 | + | 0.285233i | ||||
\(79\) | −2.31949 | − | 3.19250i | −0.260963 | − | 0.359184i | 0.658350 | − | 0.752712i | \(-0.271255\pi\) |
−0.919313 | + | 0.393527i | \(0.871255\pi\) | |||||||
\(80\) | −1.02486 | − | 0.818560i | −0.114583 | − | 0.0915178i | ||||
\(81\) | −3.24901 | + | 8.39309i | −0.361001 | + | 0.932565i | ||||
\(82\) | 5.64857 | + | 5.64857i | 0.623780 | + | 0.623780i | ||||
\(83\) | −1.19444 | − | 7.54142i | −0.131107 | − | 0.827779i | −0.962339 | − | 0.271852i | \(-0.912364\pi\) |
0.831232 | − | 0.555926i | \(-0.187636\pi\) | |||||||
\(84\) | −5.88297 | + | 7.86666i | −0.641884 | + | 0.858323i | ||||
\(85\) | 0.991209 | − | 4.82258i | 0.107512 | − | 0.523082i | ||||
\(86\) | 5.97314 | − | 1.94079i | 0.644101 | − | 0.209281i | ||||
\(87\) | −1.75696 | + | 0.253481i | −0.188366 | + | 0.0271760i | ||||
\(88\) | −1.00288 | − | 1.96826i | −0.106907 | − | 0.209817i | ||||
\(89\) | 2.35375 | + | 7.24411i | 0.249497 | + | 0.767874i | 0.994864 | + | 0.101220i | \(0.0322745\pi\) |
−0.745367 | + | 0.666655i | \(0.767726\pi\) | |||||||
\(90\) | −5.21018 | − | 1.22159i | −0.549201 | − | 0.128767i | ||||
\(91\) | 2.64868 | − | 8.15181i | 0.277657 | − | 0.854542i | ||||
\(92\) | 5.26583 | − | 0.834025i | 0.549001 | − | 0.0869532i | ||||
\(93\) | 3.32370 | + | 6.75181i | 0.344652 | + | 0.700130i | ||||
\(94\) | −0.739091 | + | 1.01727i | −0.0762315 | + | 0.104924i | ||||
\(95\) | 5.04759 | + | 7.65930i | 0.517872 | + | 0.785828i | ||||
\(96\) | −9.65331 | + | 2.98997i | −0.985237 | + | 0.305162i | ||||
\(97\) | −2.77327 | − | 0.439243i | −0.281583 | − | 0.0445983i | 0.0140456 | − | 0.999901i | \(-0.495529\pi\) |
−0.295628 | + | 0.955303i | \(0.595529\pi\) | |||||||
\(98\) | −3.72980 | + | 7.32014i | −0.376767 | + | 0.739446i | ||||
\(99\) | 1.95726 | + | 1.50625i | 0.196712 | + | 0.151384i | ||||
\(100\) | −0.621376 | + | 6.78960i | −0.0621376 | + | 0.678960i | ||||
\(101\) | 1.18651i | 0.118062i | 0.998256 | + | 0.0590312i | \(0.0188011\pi\) | ||||
−0.998256 | + | 0.0590312i | \(0.981199\pi\) | |||||||
\(102\) | −2.12137 | − | 2.18073i | −0.210047 | − | 0.215924i | ||||
\(103\) | 1.27566 | − | 8.05418i | 0.125694 | − | 0.793602i | −0.841629 | − | 0.540056i | \(-0.818403\pi\) |
0.967323 | − | 0.253546i | \(-0.0815969\pi\) | |||||||
\(104\) | 4.47376 | − | 3.25037i | 0.438688 | − | 0.318725i | ||||
\(105\) | 16.0798 | + | 0.956717i | 1.56923 | + | 0.0933660i | ||||
\(106\) | −8.34969 | − | 6.06640i | −0.810994 | − | 0.589221i | ||||
\(107\) | 0.353609 | − | 0.353609i | 0.0341847 | − | 0.0341847i | −0.689808 | − | 0.723993i | \(-0.742305\pi\) |
0.723993 | + | 0.689808i | \(0.242305\pi\) | |||||||
\(108\) | 5.21317 | − | 4.79858i | 0.501638 | − | 0.461744i | ||||
\(109\) | 10.4055 | + | 3.38096i | 0.996668 | + | 0.323837i | 0.761533 | − | 0.648126i | \(-0.224447\pi\) |
0.235135 | + | 0.971963i | \(0.424447\pi\) | |||||||
\(110\) | −0.725692 | + | 1.27669i | −0.0691920 | + | 0.121728i | ||||
\(111\) | 1.08506 | + | 0.0149700i | 0.102989 | + | 0.00142089i | ||||
\(112\) | 2.17376 | − | 1.10759i | 0.205401 | − | 0.104657i | ||||
\(113\) | 0.208373 | − | 0.106172i | 0.0196021 | − | 0.00998778i | −0.444162 | − | 0.895947i | \(-0.646499\pi\) |
0.463764 | + | 0.885959i | \(0.346499\pi\) | |||||||
\(114\) | 5.66775 | + | 0.0781947i | 0.530833 | + | 0.00732360i | ||||
\(115\) | −5.89360 | − | 6.45760i | −0.549581 | − | 0.602175i | ||||
\(116\) | 1.32913 | + | 0.431859i | 0.123406 | + | 0.0400971i | ||||
\(117\) | −2.95771 | + | 5.42913i | −0.273440 | + | 0.501924i | ||||
\(118\) | 6.49007 | − | 6.49007i | 0.597460 | − | 0.597460i | ||||
\(119\) | 7.40867 | + | 5.38272i | 0.679152 | + | 0.493433i | ||||
\(120\) | 8.02999 | + | 6.59707i | 0.733035 | + | 0.602228i | ||||
\(121\) | −8.35089 | + | 6.06727i | −0.759171 | + | 0.551570i | ||||
\(122\) | 0.303616 | − | 1.91696i | 0.0274881 | − | 0.173553i | ||||
\(123\) | 12.0936 | + | 12.4320i | 1.09045 | + | 1.12096i | ||||
\(124\) | − | 5.92466i | − | 0.532050i | ||||||
\(125\) | 9.85729 | − | 5.27578i | 0.881663 | − | 0.471880i | ||||
\(126\) | 6.07067 | − | 7.88837i | 0.540818 | − | 0.702752i | ||||
\(127\) | −0.238159 | + | 0.467414i | −0.0211332 | + | 0.0414763i | −0.901332 | − | 0.433129i | \(-0.857409\pi\) |
0.880199 | + | 0.474606i | \(0.157409\pi\) | |||||||
\(128\) | 8.78239 | + | 1.39099i | 0.776261 | + | 0.122948i | ||||
\(129\) | 13.0256 | − | 4.03448i | 1.14684 | − | 0.355216i | ||||
\(130\) | −3.44079 | − | 1.29430i | −0.301777 | − | 0.113518i | ||||
\(131\) | −6.41303 | + | 8.82677i | −0.560309 | + | 0.771199i | −0.991366 | − | 0.131126i | \(-0.958141\pi\) |
0.431057 | + | 0.902325i | \(0.358141\pi\) | |||||||
\(132\) | −0.858738 | − | 1.74445i | −0.0747435 | − | 0.151835i | ||||
\(133\) | −16.8519 | + | 2.66907i | −1.46124 | + | 0.231438i | ||||
\(134\) | −2.17118 | + | 6.68220i | −0.187561 | + | 0.577254i | ||||
\(135\) | −11.2745 | − | 2.80809i | −0.970356 | − | 0.241682i | ||||
\(136\) | 1.82571 | + | 5.61896i | 0.156553 | + | 0.481822i | ||||
\(137\) | −0.113176 | − | 0.222119i | −0.00966924 | − | 0.0189769i | 0.886121 | − | 0.463453i | \(-0.153390\pi\) |
−0.895791 | + | 0.444476i | \(0.853390\pi\) | |||||||
\(138\) | −5.34707 | + | 0.771436i | −0.455173 | + | 0.0656690i | ||||
\(139\) | −5.73215 | + | 1.86249i | −0.486194 | + | 0.157974i | −0.541849 | − | 0.840476i | \(-0.682275\pi\) |
0.0556545 | + | 0.998450i | \(0.482275\pi\) | |||||||
\(140\) | −11.0250 | − | 6.26677i | −0.931782 | − | 0.529639i | ||||
\(141\) | −1.63501 | + | 2.18632i | −0.137693 | + | 0.184122i | ||||
\(142\) | −1.07598 | − | 6.79349i | −0.0902944 | − | 0.570097i | ||||
\(143\) | 1.19966 | + | 1.19966i | 0.100321 | + | 0.100321i | ||||
\(144\) | −1.68798 | + | 0.497411i | −0.140665 | + | 0.0414509i | ||||
\(145\) | −0.608017 | − | 2.20958i | −0.0504930 | − | 0.183496i | ||||
\(146\) | −3.75877 | − | 5.17351i | −0.311078 | − | 0.428163i | ||||
\(147\) | −8.31650 | + | 15.7800i | −0.685934 | + | 1.30152i | ||||
\(148\) | −0.761203 | − | 0.387852i | −0.0625705 | − | 0.0318813i | ||||
\(149\) | −18.5954 | −1.52339 | −0.761696 | − | 0.647934i | \(-0.775633\pi\) | ||||
−0.761696 | + | 0.647934i | \(0.775633\pi\) | |||||||
\(150\) | 0.724497 | − | 6.87063i | 0.0591549 | − | 0.560984i | ||||
\(151\) | 15.6969 | 1.27740 | 0.638698 | − | 0.769458i | \(-0.279473\pi\) | ||||
0.638698 | + | 0.769458i | \(0.279473\pi\) | |||||||
\(152\) | −9.80789 | − | 4.99737i | −0.795525 | − | 0.405340i | ||||
\(153\) | −4.54011 | − | 4.79781i | −0.367046 | − | 0.387880i | ||||
\(154\) | −1.60554 | − | 2.20983i | −0.129378 | − | 0.178073i | ||||
\(155\) | −8.11228 | + | 5.34611i | −0.651594 | + | 0.429410i | ||||
\(156\) | 3.97684 | − | 2.80635i | 0.318402 | − | 0.224687i | ||||
\(157\) | 2.03862 | + | 2.03862i | 0.162699 | + | 0.162699i | 0.783761 | − | 0.621062i | \(-0.213298\pi\) |
−0.621062 | + | 0.783761i | \(0.713298\pi\) | |||||||
\(158\) | −0.492462 | − | 3.10928i | −0.0391782 | − | 0.247361i | ||||
\(159\) | −17.9452 | − | 13.4200i | −1.42314 | − | 1.06428i | ||||
\(160\) | −5.38654 | − | 11.8826i | −0.425843 | − | 0.939400i | ||||
\(161\) | 15.4658 | − | 5.02513i | 1.21887 | − | 0.396036i | ||||
\(162\) | −5.34913 | + | 4.78911i | −0.420268 | + | 0.376268i | ||||
\(163\) | 10.2630 | + | 20.1423i | 0.803860 | + | 1.57766i | 0.816221 | + | 0.577740i | \(0.196065\pi\) |
−0.0123606 | + | 0.999924i | \(0.503935\pi\) | |||||||
\(164\) | −4.21943 | − | 12.9861i | −0.329482 | − | 1.01404i | ||||
\(165\) | −1.61369 | + | 2.74992i | −0.125626 | + | 0.214081i | ||||
\(166\) | 1.88227 | − | 5.79304i | 0.146093 | − | 0.449627i | ||||
\(167\) | 4.95748 | − | 0.785187i | 0.383621 | − | 0.0607596i | 0.0383543 | − | 0.999264i | \(-0.487788\pi\) |
0.345267 | + | 0.938505i | \(0.387788\pi\) | |||||||
\(168\) | −17.3427 | + | 8.53726i | −1.33802 | + | 0.658664i | ||||
\(169\) | 5.14485 | − | 7.08128i | 0.395758 | − | 0.544714i | ||||
\(170\) | 2.45115 | − | 3.06891i | 0.187995 | − | 0.235374i | ||||
\(171\) | 12.3021 | + | 0.339516i | 0.940767 | + | 0.0259634i | ||||
\(172\) | −10.6032 | − | 1.67937i | −0.808483 | − | 0.128051i | ||||
\(173\) | 4.39212 | − | 8.62003i | 0.333927 | − | 0.655369i | −0.661599 | − | 0.749858i | \(-0.730122\pi\) |
0.995526 | + | 0.0944892i | \(0.0301218\pi\) | |||||||
\(174\) | −1.34065 | − | 0.456145i | −0.101634 | − | 0.0345803i | ||||
\(175\) | 1.36768 | + | 20.7507i | 0.103387 | + | 1.56860i | ||||
\(176\) | 0.482901i | 0.0364000i | ||||||||
\(177\) | 14.2841 | − | 13.8953i | 1.07366 | − | 1.04444i | ||||
\(178\) | −0.950557 | + | 6.00158i | −0.0712473 | + | 0.449838i | ||||
\(179\) | −13.5707 | + | 9.85967i | −1.01432 | + | 0.736946i | −0.965111 | − | 0.261842i | \(-0.915670\pi\) |
−0.0492086 | + | 0.998789i | \(0.515670\pi\) | |||||||
\(180\) | 6.98712 | + | 5.90361i | 0.520789 | + | 0.440029i | ||||
\(181\) | 9.29475 | + | 6.75303i | 0.690874 | + | 0.501949i | 0.876947 | − | 0.480587i | \(-0.159576\pi\) |
−0.186074 | + | 0.982536i | \(0.559576\pi\) | |||||||
\(182\) | 4.83503 | − | 4.83503i | 0.358397 | − | 0.358397i | ||||
\(183\) | 0.716555 | − | 4.15254i | 0.0529692 | − | 0.306965i | ||||
\(184\) | 9.97788 | + | 3.24201i | 0.735579 | + | 0.239004i | ||||
\(185\) | 0.155808 | + | 1.39225i | 0.0114552 | + | 0.102360i | ||||
\(186\) | −0.0828192 | + | 6.00294i | −0.00607260 | + | 0.440157i | ||||
\(187\) | −1.61507 | + | 0.822918i | −0.118105 | + | 0.0601777i | ||||
\(188\) | 1.91504 | − | 0.975764i | 0.139669 | − | 0.0711649i | ||||
\(189\) | 13.4155 | − | 16.9435i | 0.975831 | − | 1.23246i | ||||
\(190\) | 0.813854 | + | 7.27233i | 0.0590432 | + | 0.527590i | ||||
\(191\) | −7.46383 | − | 2.42514i | −0.540064 | − | 0.175477i | 0.0262678 | − | 0.999655i | \(-0.491638\pi\) |
−0.566331 | + | 0.824178i | \(0.691638\pi\) | |||||||
\(192\) | −5.94208 | − | 1.02535i | −0.428833 | − | 0.0739985i | ||||
\(193\) | −0.118755 | + | 0.118755i | −0.00854820 | + | 0.00854820i | −0.711368 | − | 0.702820i | \(-0.751924\pi\) |
0.702820 | + | 0.711368i | \(0.251924\pi\) | |||||||
\(194\) | −1.81216 | − | 1.31661i | −0.130106 | − | 0.0945272i | ||||
\(195\) | −7.43106 | − | 2.91294i | −0.532149 | − | 0.208600i | ||||
\(196\) | 11.3610 | − | 8.25421i | 0.811496 | − | 0.589587i | ||||
\(197\) | 1.09281 | − | 6.89971i | 0.0778593 | − | 0.491584i | −0.917687 | − | 0.397305i | \(-0.869945\pi\) |
0.995546 | − | 0.0942789i | \(-0.0300545\pi\) | |||||||
\(198\) | 0.845699 | + | 1.77950i | 0.0601012 | + | 0.126464i | ||||
\(199\) | − | 7.34771i | − | 0.520865i | −0.965492 | − | 0.260433i | \(-0.916135\pi\) | ||
0.965492 | − | 0.260433i | \(-0.0838652\pi\) | |||||||
\(200\) | −7.15512 | + | 11.3494i | −0.505943 | + | 0.802521i | ||||
\(201\) | −4.91369 | + | 14.4418i | −0.346585 | + | 1.01864i | ||||
\(202\) | −0.429720 | + | 0.843373i | −0.0302350 | + | 0.0593395i | ||||
\(203\) | 4.21015 | + | 0.666823i | 0.295495 | + | 0.0468018i | ||||
\(204\) | 1.53859 | + | 4.96744i | 0.107723 | + | 0.347790i | ||||
\(205\) | −13.9737 | + | 17.4954i | −0.975962 | + | 1.22193i | ||||
\(206\) | 3.82373 | − | 5.26291i | 0.266412 | − | 0.366684i | ||||
\(207\) | −11.6314 | + | 1.51461i | −0.808437 | + | 0.105272i | ||||
\(208\) | −1.19396 | + | 0.189105i | −0.0827865 | + | 0.0131121i | ||||
\(209\) | 1.04361 | − | 3.21189i | 0.0721879 | − | 0.222171i | ||||
\(210\) | 11.0831 | + | 6.50369i | 0.764804 | + | 0.448797i | ||||
\(211\) | −2.41025 | − | 7.41799i | −0.165928 | − | 0.510675i | 0.833175 | − | 0.553009i | \(-0.186521\pi\) |
−0.999104 | + | 0.0423340i | \(0.986521\pi\) | |||||||
\(212\) | 8.00899 | + | 15.7185i | 0.550060 | + | 1.07955i | ||||
\(213\) | −2.13244 | − | 14.7806i | −0.146113 | − | 1.01275i | ||||
\(214\) | 0.379413 | − | 0.123279i | 0.0259361 | − | 0.00842715i | ||||
\(215\) | 7.26828 | + | 16.0336i | 0.495692 | + | 1.09349i | ||||
\(216\) | 13.4274 | − | 3.75625i | 0.913617 | − | 0.255580i | ||||
\(217\) | −2.82692 | − | 17.8485i | −0.191904 | − | 1.21163i | ||||
\(218\) | 6.17177 | + | 6.17177i | 0.418005 | + | 0.418005i | ||||
\(219\) | −8.00521 | − | 11.3441i | −0.540942 | − | 0.766562i | ||||
\(220\) | 2.09595 | − | 1.38126i | 0.141309 | − | 0.0931247i | ||||
\(221\) | −2.66712 | − | 3.67097i | −0.179410 | − | 0.246936i | ||||
\(222\) | 0.765840 | + | 0.403618i | 0.0513998 | + | 0.0270891i | ||||
\(223\) | 9.18049 | + | 4.67769i | 0.614771 | + | 0.313242i | 0.733504 | − | 0.679685i | \(-0.237883\pi\) |
−0.118733 | + | 0.992926i | \(0.537883\pi\) | |||||||
\(224\) | 24.2668 | 1.62139 | ||||||||
\(225\) | 1.77864 | − | 14.8942i | 0.118576 | − | 0.992945i | ||||
\(226\) | 0.186564 | 0.0124101 | ||||||||
\(227\) | 9.07441 | + | 4.62364i | 0.602290 | + | 0.306882i | 0.728419 | − | 0.685132i | \(-0.240255\pi\) |
−0.126129 | + | 0.992014i | \(0.540255\pi\) | |||||||
\(228\) | −8.57128 | − | 4.51730i | −0.567647 | − | 0.299165i | ||||
\(229\) | −1.81962 | − | 2.50450i | −0.120244 | − | 0.165502i | 0.744652 | − | 0.667453i | \(-0.232616\pi\) |
−0.864896 | + | 0.501951i | \(0.832616\pi\) | |||||||
\(230\) | −1.85042 | − | 6.72456i | −0.122013 | − | 0.443404i | ||||
\(231\) | −3.41937 | − | 4.84555i | −0.224978 | − | 0.318814i | ||||
\(232\) | 1.94460 | + | 1.94460i | 0.127669 | + | 0.127669i | ||||
\(233\) | 4.18044 | + | 26.3943i | 0.273870 | + | 1.72915i | 0.614473 | + | 0.788938i | \(0.289369\pi\) |
−0.340603 | + | 0.940207i | \(0.610631\pi\) | |||||||
\(234\) | −4.06861 | + | 2.78784i | −0.265974 | + | 0.182247i | ||||
\(235\) | −3.06409 | − | 1.74168i | −0.199879 | − | 0.113614i | ||||
\(236\) | −14.9207 | + | 4.84803i | −0.971255 | + | 0.315580i | ||||
\(237\) | −0.975989 | − | 6.76489i | −0.0633973 | − | 0.439427i | ||||
\(238\) | 3.31663 | + | 6.50924i | 0.214985 | + | 0.421932i | ||||
\(239\) | 5.57807 | + | 17.1675i | 0.360816 | + | 1.11048i | 0.952560 | + | 0.304350i | \(0.0984394\pi\) |
−0.591745 | + | 0.806126i | \(0.701561\pi\) | |||||||
\(240\) | −0.909338 | − | 2.08188i | −0.0586975 | − | 0.134385i | ||||
\(241\) | −7.11140 | + | 21.8866i | −0.458086 | + | 1.40984i | 0.409388 | + | 0.912360i | \(0.365742\pi\) |
−0.867474 | + | 0.497483i | \(0.834258\pi\) | |||||||
\(242\) | −8.13321 | + | 1.28817i | −0.522822 | + | 0.0828069i | ||||
\(243\) | −11.7562 | + | 10.2368i | −0.754161 | + | 0.656689i | ||||
\(244\) | −1.94998 | + | 2.68391i | −0.124834 | + | 0.171820i | ||||
\(245\) | −21.5535 | − | 8.10769i | −1.37701 | − | 0.517981i | ||||
\(246\) | 4.09366 | + | 13.2166i | 0.261002 | + | 0.842663i | ||||
\(247\) | 8.35003 | + | 1.32252i | 0.531300 | + | 0.0841496i | ||||
\(248\) | 5.29292 | − | 10.3879i | 0.336101 | − | 0.659635i | ||||
\(249\) | 4.25985 | − | 12.5201i | 0.269957 | − | 0.793429i | ||||
\(250\) | 8.91730 | − | 0.180000i | 0.563980 | − | 0.0113842i | ||||
\(251\) | − | 24.4071i | − | 1.54056i | −0.637704 | − | 0.770282i | \(-0.720116\pi\) | ||
0.637704 | − | 0.770282i | \(-0.279884\pi\) | |||||||
\(252\) | −15.3670 | + | 7.30310i | −0.968032 | + | 0.460052i | ||||
\(253\) | −0.503529 | + | 3.17916i | −0.0316566 | + | 0.199872i | ||||
\(254\) | −0.338568 | + | 0.245984i | −0.0212436 | + | 0.0154344i | ||||
\(255\) | 5.41327 | − | 6.58906i | 0.338992 | − | 0.412623i | ||||
\(256\) | 11.3717 | + | 8.26203i | 0.710732 | + | 0.516377i | ||||
\(257\) | 5.72751 | − | 5.72751i | 0.357272 | − | 0.357272i | −0.505534 | − | 0.862807i | \(-0.668705\pi\) |
0.862807 | + | 0.505534i | \(0.168705\pi\) | |||||||
\(258\) | 10.7198 | + | 1.84978i | 0.667384 | + | 0.115162i | ||||
\(259\) | −2.47825 | − | 0.805231i | −0.153991 | − | 0.0500346i | ||||
\(260\) | 4.23593 | + | 4.64130i | 0.262701 | + | 0.287841i | ||||
\(261\) | −2.89684 | − | 1.03043i | −0.179310 | − | 0.0637819i | ||||
\(262\) | −7.75518 | + | 3.95146i | −0.479117 | + | 0.244122i | ||||
\(263\) | 5.27158 | − | 2.68600i | 0.325060 | − | 0.165626i | −0.283844 | − | 0.958871i | \(-0.591610\pi\) |
0.608903 | + | 0.793244i | \(0.291610\pi\) | |||||||
\(264\) | 0.0527822 | − | 3.82579i | 0.00324852 | − | 0.235461i | ||||
\(265\) | 14.2955 | − | 25.1498i | 0.878168 | − | 1.54494i | ||||
\(266\) | −12.9450 | − | 4.20607i | −0.793707 | − | 0.257891i | ||||
\(267\) | −2.24338 | + | 13.0007i | −0.137293 | + | 0.795632i | ||||
\(268\) | 8.49212 | − | 8.49212i | 0.518739 | − | 0.518739i | ||||
\(269\) | 15.3610 | + | 11.1604i | 0.936575 | + | 0.680462i | 0.947594 | − | 0.319478i | \(-0.103507\pi\) |
−0.0110187 | + | 0.999939i | \(0.503507\pi\) | |||||||
\(270\) | −6.99692 | − | 6.07929i | −0.425819 | − | 0.369974i | ||||
\(271\) | 0.494191 | − | 0.359051i | 0.0300200 | − | 0.0218108i | −0.572674 | − | 0.819783i | \(-0.694094\pi\) |
0.602694 | + | 0.797972i | \(0.294094\pi\) | |||||||
\(272\) | 0.202041 | − | 1.27563i | 0.0122505 | − | 0.0773467i | ||||
\(273\) | 10.6415 | − | 10.3519i | 0.644053 | − | 0.626523i | ||||
\(274\) | − | 0.198872i | − | 0.0120143i | ||||||
\(275\) | −3.78256 | − | 1.62348i | −0.228097 | − | 0.0978995i | ||||
\(276\) | 8.74221 | + | 2.97446i | 0.526219 | + | 0.179042i | ||||
\(277\) | −3.07426 | + | 6.03357i | −0.184714 | + | 0.362522i | −0.964732 | − | 0.263236i | \(-0.915210\pi\) |
0.780017 | + | 0.625758i | \(0.215210\pi\) | |||||||
\(278\) | −4.74895 | − | 0.752160i | −0.284823 | − | 0.0451116i | ||||
\(279\) | −0.359595 | + | 13.0297i | −0.0215284 | + | 0.780066i | ||||
\(280\) | −13.7320 | − | 20.8372i | −0.820645 | − | 1.24526i | ||||
\(281\) | 13.9644 | − | 19.2204i | 0.833047 | − | 1.14659i | −0.154302 | − | 0.988024i | \(-0.549313\pi\) |
0.987348 | − | 0.158567i | \(-0.0506872\pi\) | |||||||
\(282\) | −1.95399 | + | 0.961887i | −0.116358 | + | 0.0572795i | ||||
\(283\) | −0.334025 | + | 0.0529044i | −0.0198557 | + | 0.00314484i | −0.166354 | − | 0.986066i | \(-0.553200\pi\) |
0.146499 | + | 0.989211i | \(0.453200\pi\) | |||||||
\(284\) | −3.63307 | + | 11.1814i | −0.215583 | + | 0.663496i | ||||
\(285\) | 1.54903 | + | 15.8123i | 0.0917566 | + | 0.936641i | ||||
\(286\) | 0.418239 | + | 1.28721i | 0.0247310 | + | 0.0761141i | ||||
\(287\) | −18.9076 | − | 37.1083i | −1.11608 | − | 2.19043i | ||||
\(288\) | −17.2061 | − | 3.21408i | −1.01388 | − | 0.189391i | ||||
\(289\) | −11.5573 | + | 3.75519i | −0.679840 | + | 0.220893i | ||||
\(290\) | 0.368067 | − | 1.79078i | 0.0216137 | − | 0.105158i | ||||
\(291\) | −3.89470 | − | 2.91259i | −0.228311 | − | 0.170739i | ||||
\(292\) | 1.70993 | + | 10.7961i | 0.100066 | + | 0.631792i | ||||
\(293\) | −3.54149 | − | 3.54149i | −0.206896 | − | 0.206896i | 0.596051 | − | 0.802947i | \(-0.296736\pi\) |
−0.802947 | + | 0.596051i | \(0.796736\pi\) | |||||||
\(294\) | −11.6265 | + | 8.20447i | −0.678068 | + | 0.478494i | ||||
\(295\) | 20.1018 | + | 16.0554i | 1.17037 | + | 0.934782i | ||||
\(296\) | −0.988152 | − | 1.36007i | −0.0574352 | − | 0.0790527i | ||||
\(297\) | 1.78268 | + | 3.88857i | 0.103442 | + | 0.225638i | ||||
\(298\) | −13.2176 | − | 6.73471i | −0.765675 | − | 0.390131i | ||||
\(299\) | −8.05760 | −0.465983 | ||||||||
\(300\) | −6.43505 | + | 9.90173i | −0.371528 | + | 0.571677i | ||||
\(301\) | −32.7441 | −1.88734 | ||||||||
\(302\) | 11.1574 | + | 5.68496i | 0.642034 | + | 0.327133i | ||||
\(303\) | −0.958167 | + | 1.81806i | −0.0550452 | + | 0.104445i | ||||
\(304\) | 1.41439 | + | 1.94674i | 0.0811209 | + | 0.111653i | ||||
\(305\) | 5.43448 | + | 0.248160i | 0.311177 | + | 0.0142096i | ||||
\(306\) | −1.48948 | − | 5.05458i | −0.0851479 | − | 0.288951i | ||||
\(307\) | −15.8504 | − | 15.8504i | −0.904633 | − | 0.904633i | 0.0911999 | − | 0.995833i | \(-0.470930\pi\) |
−0.995833 | + | 0.0911999i | \(0.970930\pi\) | |||||||
\(308\) | 0.730385 | + | 4.61147i | 0.0416176 | + | 0.262763i | ||||
\(309\) | 8.45880 | − | 11.3111i | 0.481205 | − | 0.643464i | ||||
\(310\) | −7.70242 | + | 0.861986i | −0.437468 | + | 0.0489575i | ||||
\(311\) | −30.4529 | + | 9.89474i | −1.72682 | + | 0.561079i | −0.992985 | − | 0.118243i | \(-0.962274\pi\) |
−0.733840 | + | 0.679322i | \(0.762274\pi\) | |||||||
\(312\) | 9.47986 | − | 1.36769i | 0.536691 | − | 0.0774299i | ||||
\(313\) | 2.70055 | + | 5.30013i | 0.152644 | + | 0.299581i | 0.954647 | − | 0.297739i | \(-0.0962324\pi\) |
−0.802003 | + | 0.597320i | \(0.796232\pi\) | |||||||
\(314\) | 0.710723 | + | 2.18738i | 0.0401084 | + | 0.123441i | ||||
\(315\) | 23.8661 | + | 14.4512i | 1.34470 | + | 0.814234i | ||||
\(316\) | −1.66280 | + | 5.11758i | −0.0935400 | + | 0.287887i | ||||
\(317\) | 3.17017 | − | 0.502106i | 0.178055 | − | 0.0282011i | −0.0667704 | − | 0.997768i | \(-0.521269\pi\) |
0.244825 | + | 0.969567i | \(0.421269\pi\) | |||||||
\(318\) | −7.89509 | − | 16.0382i | −0.442735 | − | 0.899377i | ||||
\(319\) | −0.495934 | + | 0.682595i | −0.0277670 | + | 0.0382180i | ||||
\(320\) | 0.355104 | − | 7.77646i | 0.0198509 | − | 0.434717i | ||||
\(321\) | 0.827383 | − | 0.256269i | 0.0461800 | − | 0.0143036i | ||||
\(322\) | 12.8130 | + | 2.02939i | 0.714042 | + | 0.113093i | ||||
\(323\) | −4.10063 | + | 8.04793i | −0.228165 | + | 0.447799i | ||||
\(324\) | 11.8631 | − | 3.14285i | 0.659061 | − | 0.174603i | ||||
\(325\) | 2.53276 | − | 9.98807i | 0.140492 | − | 0.554038i | ||||
\(326\) | 18.0341i | 0.998816i | ||||||||
\(327\) | 13.2138 | + | 13.5835i | 0.730726 | + | 0.751171i | ||||
\(328\) | 4.20329 | − | 26.5385i | 0.232088 | − | 1.46534i | ||||
\(329\) | 5.30364 | − | 3.85332i | 0.292399 | − | 0.212440i | ||||
\(330\) | −2.14295 | + | 1.37021i | −0.117966 | + | 0.0754278i | ||||
\(331\) | −24.3997 | − | 17.7274i | −1.34113 | − | 0.974385i | −0.999402 | − | 0.0345854i | \(-0.988989\pi\) |
−0.341725 | − | 0.939800i | \(-0.611011\pi\) | |||||||
\(332\) | −7.36213 | + | 7.36213i | −0.404049 | + | 0.404049i | ||||
\(333\) | 1.65052 | + | 0.899178i | 0.0904480 | + | 0.0492746i | ||||
\(334\) | 3.80815 | + | 1.23734i | 0.208373 | + | 0.0677044i | ||||
\(335\) | −19.2906 | − | 3.96490i | −1.05396 | − | 0.216625i | ||||
\(336\) | 4.22522 | + | 0.0582930i | 0.230505 | + | 0.00318015i | ||||
\(337\) | 16.1840 | − | 8.24614i | 0.881596 | − | 0.449196i | 0.0462562 | − | 0.998930i | \(-0.485271\pi\) |
0.835340 | + | 0.549734i | \(0.185271\pi\) | |||||||
\(338\) | 6.22160 | − | 3.17006i | 0.338410 | − | 0.172429i | ||||
\(339\) | 0.405024 | + | 0.00558789i | 0.0219979 | + | 0.000303492i | ||||
\(340\) | −6.11459 | + | 2.77183i | −0.331610 | + | 0.150323i | ||||
\(341\) | 3.40185 | + | 1.10533i | 0.184220 | + | 0.0598568i | ||||
\(342\) | 8.62139 | + | 4.69680i | 0.466192 | + | 0.253974i | ||||
\(343\) | 9.70059 | − | 9.70059i | 0.523783 | − | 0.523783i | ||||
\(344\) | −17.0906 | − | 12.4171i | −0.921465 | − | 0.669483i | ||||
\(345\) | −3.81577 | − | 14.6542i | −0.205434 | − | 0.788955i | ||||
\(346\) | 6.24385 | − | 4.53642i | 0.335671 | − | 0.243880i | ||||
\(347\) | 1.14493 | − | 7.22878i | 0.0614629 | − | 0.388061i | −0.937711 | − | 0.347417i | \(-0.887059\pi\) |
0.999174 | − | 0.0406444i | \(-0.0129411\pi\) | |||||||
\(348\) | 1.68784 | + | 1.73506i | 0.0904776 | + | 0.0930090i | ||||
\(349\) | 29.8556i | 1.59813i | 0.601241 | + | 0.799067i | \(0.294673\pi\) | ||||
−0.601241 | + | 0.799067i | \(0.705327\pi\) | |||||||
\(350\) | −6.54314 | + | 15.2449i | −0.349746 | + | 0.814876i | ||||
\(351\) | −8.91631 | + | 5.93043i | −0.475917 | + | 0.316543i | ||||
\(352\) | −2.18065 | + | 4.27976i | −0.116229 | + | 0.228112i | ||||
\(353\) | 24.8208 | + | 3.93123i | 1.32108 | + | 0.209238i | 0.776844 | − | 0.629694i | \(-0.216820\pi\) |
0.544236 | + | 0.838932i | \(0.316820\pi\) | |||||||
\(354\) | 15.1856 | − | 4.70352i | 0.807107 | − | 0.249989i | ||||
\(355\) | 18.5884 | − | 5.11501i | 0.986568 | − | 0.271477i | ||||
\(356\) | 6.10496 | − | 8.40276i | 0.323562 | − | 0.445345i | ||||
\(357\) | 7.00531 | + | 14.2307i | 0.370760 | + | 0.753167i | ||||
\(358\) | −13.2169 | + | 2.09336i | −0.698536 | + | 0.110637i | ||||
\(359\) | −3.92426 | + | 12.0776i | −0.207114 | + | 0.637432i | 0.792506 | + | 0.609865i | \(0.208776\pi\) |
−0.999620 | + | 0.0275678i | \(0.991224\pi\) | |||||||
\(360\) | 6.97668 | + | 16.5931i | 0.367704 | + | 0.874535i | ||||
\(361\) | 0.670996 | + | 2.06511i | 0.0353156 | + | 0.108690i | ||||
\(362\) | 4.16096 | + | 8.16635i | 0.218695 | + | 0.429214i | ||||
\(363\) | −17.6955 | + | 2.55297i | −0.928771 | + | 0.133996i | ||||
\(364\) | −11.1158 | + | 3.61173i | −0.582624 | + | 0.189306i | ||||
\(365\) | 13.2395 | − | 12.0831i | 0.692985 | − | 0.632460i | ||||
\(366\) | 2.01326 | − | 2.69212i | 0.105235 | − | 0.140719i | ||||
\(367\) | 0.947444 | + | 5.98192i | 0.0494562 | + | 0.312254i | 0.999999 | + | 0.00165927i | \(0.000528162\pi\) |
−0.950542 | + | 0.310595i | \(0.899472\pi\) | |||||||
\(368\) | −1.62171 | − | 1.62171i | −0.0845375 | − | 0.0845375i | ||||
\(369\) | 8.49131 | + | 28.8155i | 0.442040 | + | 1.50007i | ||||
\(370\) | −0.393484 | + | 1.04604i | −0.0204562 | + | 0.0543810i | ||||
\(371\) | 31.6277 | + | 43.5318i | 1.64203 | + | 2.26006i | ||||
\(372\) | 4.78445 | − | 9.07820i | 0.248062 | − | 0.470683i | ||||
\(373\) | −27.8891 | − | 14.2102i | −1.44404 | − | 0.735776i | −0.456003 | − | 0.889978i | \(-0.650719\pi\) |
−0.988039 | + | 0.154202i | \(0.950719\pi\) | |||||||
\(374\) | −1.44603 | −0.0747724 | ||||||||
\(375\) | 19.3645 | − | 0.123687i | 0.999980 | − | 0.00638716i | ||||
\(376\) | 4.22944 | 0.218117 | ||||||||
\(377\) | −1.88191 | − | 0.958882i | −0.0969234 | − | 0.0493850i | ||||
\(378\) | 15.6722 | − | 7.18479i | 0.806090 | − | 0.369546i | ||||
\(379\) | −14.8824 | − | 20.4838i | −0.764455 | − | 1.05218i | −0.996830 | − | 0.0795560i | \(-0.974650\pi\) |
0.232375 | − | 0.972626i | \(-0.425350\pi\) | |||||||
\(380\) | 4.40387 | − | 11.7073i | 0.225914 | − | 0.600571i | ||||
\(381\) | −0.742385 | + | 0.523881i | −0.0380336 | + | 0.0268392i | ||||
\(382\) | −4.42698 | − | 4.42698i | −0.226504 | − | 0.226504i | ||||
\(383\) | −2.85117 | − | 18.0016i | −0.145688 | − | 0.919838i | −0.946917 | − | 0.321479i | \(-0.895820\pi\) |
0.801229 | − | 0.598358i | \(-0.204180\pi\) | |||||||
\(384\) | 12.3337 | + | 9.22360i | 0.629403 | + | 0.470690i | ||||
\(385\) | 5.65515 | − | 5.16123i | 0.288213 | − | 0.263041i | ||||
\(386\) | −0.127421 | + | 0.0414017i | −0.00648557 | + | 0.00210729i | ||||
\(387\) | 23.2168 | + | 4.33688i | 1.18018 | + | 0.220456i | ||||
\(388\) | 1.73822 | + | 3.41144i | 0.0882446 | + | 0.173190i | ||||
\(389\) | −2.42738 | − | 7.47069i | −0.123073 | − | 0.378779i | 0.870472 | − | 0.492218i | \(-0.163814\pi\) |
−0.993545 | + | 0.113438i | \(0.963814\pi\) | |||||||
\(390\) | −4.22702 | − | 4.76184i | −0.214043 | − | 0.241125i | ||||
\(391\) | 2.66025 | − | 8.18742i | 0.134535 | − | 0.414056i | ||||
\(392\) | 27.2937 | − | 4.32290i | 1.37854 | − | 0.218339i | ||||
\(393\) | −16.9546 | + | 8.34620i | −0.855245 | + | 0.421010i | ||||
\(394\) | 3.27564 | − | 4.50854i | 0.165024 | − | 0.227137i | ||||
\(395\) | 8.50763 | − | 2.34107i | 0.428065 | − | 0.117792i | ||||
\(396\) | 0.0929077 | − | 3.36645i | 0.00466879 | − | 0.169170i | ||||
\(397\) | 33.3664 | + | 5.28472i | 1.67461 | + | 0.265232i | 0.920280 | − | 0.391261i | \(-0.127961\pi\) |
0.754332 | + | 0.656494i | \(0.227961\pi\) | |||||||
\(398\) | 2.66113 | − | 5.22276i | 0.133390 | − | 0.261793i | ||||
\(399\) | −27.9771 | − | 9.51895i | −1.40061 | − | 0.476544i | ||||
\(400\) | 2.52000 | − | 1.50049i | 0.126000 | − | 0.0750245i | ||||
\(401\) | 12.8342i | 0.640911i | 0.947264 | + | 0.320456i | \(0.103836\pi\) | ||||
−0.947264 | + | 0.320456i | \(0.896164\pi\) | |||||||
\(402\) | −8.72304 | + | 8.48562i | −0.435066 | + | 0.423224i | ||||
\(403\) | −1.40073 | + | 8.84386i | −0.0697753 | + | 0.440544i | ||||
\(404\) | 1.30893 | − | 0.950990i | 0.0651215 | − | 0.0473135i | ||||
\(405\) | −15.0080 | − | 13.4075i | −0.745752 | − | 0.666223i | ||||
\(406\) | 2.75108 | + | 1.99877i | 0.136534 | + | 0.0991975i | ||||
\(407\) | 0.364712 | − | 0.364712i | 0.0180781 | − | 0.0180781i | ||||
\(408\) | −1.74010 | + | 10.0841i | −0.0861477 | + | 0.499239i | ||||
\(409\) | −20.7176 | − | 6.73156i | −1.02442 | − | 0.332854i | −0.251838 | − | 0.967769i | \(-0.581035\pi\) |
−0.772582 | + | 0.634915i | \(0.781035\pi\) | |||||||
\(410\) | −16.2688 | + | 7.37488i | −0.803459 | + | 0.364219i | ||||
\(411\) | 0.00595651 | − | 0.431743i | 0.000293813 | − | 0.0212963i | ||||
\(412\) | −9.90758 | + | 5.04816i | −0.488111 | + | 0.248705i | ||||
\(413\) | −42.6366 | + | 21.7244i | −2.09801 | + | 1.06899i | ||||
\(414\) | −8.81615 | − | 3.13597i | −0.433290 | − | 0.154124i | ||||
\(415\) | 16.7237 | + | 3.43731i | 0.820936 | + | 0.168731i | ||||
\(416\) | −11.4356 | − | 3.71565i | −0.560676 | − | 0.182175i | ||||
\(417\) | −10.2873 | − | 1.77515i | −0.503770 | − | 0.0869295i | ||||
\(418\) | 1.90505 | − | 1.90505i | 0.0931791 | − | 0.0931791i | ||||
\(419\) | 1.12780 | + | 0.819392i | 0.0550964 | + | 0.0400299i | 0.614993 | − | 0.788533i | \(-0.289159\pi\) |
−0.559896 | + | 0.828563i | \(0.689159\pi\) | |||||||
\(420\) | −11.8326 | − | 18.5056i | −0.577371 | − | 0.902982i | ||||
\(421\) | 5.93237 | − | 4.31012i | 0.289126 | − | 0.210062i | −0.433762 | − | 0.901027i | \(-0.642814\pi\) |
0.722888 | + | 0.690965i | \(0.242814\pi\) | |||||||
\(422\) | 0.973373 | − | 6.14563i | 0.0473830 | − | 0.299165i | ||||
\(423\) | −4.27085 | + | 2.02970i | −0.207656 | + | 0.0986872i | ||||
\(424\) | 34.7149i | 1.68591i | ||||||||
\(425\) | 9.31279 | + | 5.87118i | 0.451737 | + | 0.284794i | ||||
\(426\) | 3.83737 | − | 11.2784i | 0.185921 | − | 0.546440i | ||||
\(427\) | −4.59384 | + | 9.01591i | −0.222311 | + | 0.436310i | ||||
\(428\) | −0.673510 | − | 0.106673i | −0.0325553 | − | 0.00515625i | ||||
\(429\) | 0.869427 | + | 2.80700i | 0.0419763 | + | 0.135523i | ||||
\(430\) | −0.640624 | + | 14.0291i | −0.0308936 | + | 0.676542i | ||||
\(431\) | 21.0906 | − | 29.0288i | 1.01590 | − | 1.39827i | 0.100861 | − | 0.994901i | \(-0.467840\pi\) |
0.915039 | − | 0.403365i | \(-0.132160\pi\) | |||||||
\(432\) | −2.98813 | − | 0.600953i | −0.143766 | − | 0.0289134i | ||||
\(433\) | 23.9966 | − | 3.80070i | 1.15321 | − | 0.182650i | 0.449593 | − | 0.893234i | \(-0.351569\pi\) |
0.703612 | + | 0.710584i | \(0.251569\pi\) | |||||||
\(434\) | 4.45482 | − | 13.7105i | 0.213838 | − | 0.658127i | ||||
\(435\) | 0.852697 | − | 3.87669i | 0.0408837 | − | 0.185873i | ||||
\(436\) | −4.61026 | − | 14.1889i | −0.220791 | − | 0.679526i | ||||
\(437\) | 7.28169 | + | 14.2911i | 0.348331 | + | 0.683637i | ||||
\(438\) | −1.58161 | − | 10.9626i | −0.0755722 | − | 0.523815i | ||||
\(439\) | 12.8255 | − | 4.16725i | 0.612126 | − | 0.198892i | 0.0134850 | − | 0.999909i | \(-0.495707\pi\) |
0.598641 | + | 0.801017i | \(0.295707\pi\) | |||||||
\(440\) | 4.90889 | − | 0.549360i | 0.234022 | − | 0.0261897i | ||||
\(441\) | −25.4863 | + | 17.4634i | −1.21363 | + | 0.831589i | ||||
\(442\) | −0.566269 | − | 3.57528i | −0.0269347 | − | 0.170059i | ||||
\(443\) | −20.1894 | − | 20.1894i | −0.959230 | − | 0.959230i | 0.0399713 | − | 0.999201i | \(-0.487273\pi\) |
−0.999201 | + | 0.0399713i | \(0.987273\pi\) | |||||||
\(444\) | −0.853162 | − | 1.20901i | −0.0404893 | − | 0.0573769i | ||||
\(445\) | −17.0142 | − | 0.776936i | −0.806550 | − | 0.0368303i | ||||
\(446\) | 4.83137 | + | 6.64981i | 0.228772 | + | 0.314878i | ||||
\(447\) | −28.4932 | − | 15.0167i | −1.34768 | − | 0.710265i | ||||
\(448\) | 12.9013 | + | 6.57354i | 0.609529 | + | 0.310571i | ||||
\(449\) | −11.7398 | −0.554034 | −0.277017 | − | 0.960865i | \(-0.589346\pi\) | ||||
−0.277017 | + | 0.960865i | \(0.589346\pi\) | |||||||
\(450\) | 6.65850 | − | 9.94262i | 0.313885 | − | 0.468699i | ||||
\(451\) | 8.24360 | 0.388176 | ||||||||
\(452\) | −0.284137 | − | 0.144775i | −0.0133647 | − | 0.00680964i | ||||
\(453\) | 24.0520 | + | 12.6760i | 1.13006 | + | 0.595572i | ||||
\(454\) | 4.77555 | + | 6.57298i | 0.224128 | + | 0.308485i | ||||
\(455\) | 14.9756 | + | 11.9611i | 0.702068 | + | 0.560745i | ||||
\(456\) | −10.9928 | − | 15.5777i | −0.514783 | − | 0.729492i | ||||
\(457\) | 9.87506 | + | 9.87506i | 0.461936 | + | 0.461936i | 0.899290 | − | 0.437354i | \(-0.144084\pi\) |
−0.437354 | + | 0.899290i | \(0.644084\pi\) | |||||||
\(458\) | −0.386334 | − | 2.43921i | −0.0180522 | − | 0.113977i | ||||
\(459\) | −3.08221 | − | 11.0179i | −0.143865 | − | 0.514273i | ||||
\(460\) | −2.40012 | + | 11.6774i | −0.111906 | + | 0.544463i | ||||
\(461\) | −10.3470 | + | 3.36194i | −0.481907 | + | 0.156581i | −0.539888 | − | 0.841737i | \(-0.681534\pi\) |
0.0579814 | + | 0.998318i | \(0.481534\pi\) | |||||||
\(462\) | −0.675574 | − | 4.68261i | −0.0314305 | − | 0.217855i | ||||
\(463\) | 5.88377 | + | 11.5475i | 0.273442 | + | 0.536660i | 0.986363 | − | 0.164584i | \(-0.0526283\pi\) |
−0.712921 | + | 0.701244i | \(0.752628\pi\) | |||||||
\(464\) | −0.185773 | − | 0.571752i | −0.00862432 | − | 0.0265429i | ||||
\(465\) | −16.7475 | + | 1.64064i | −0.776646 | + | 0.0760828i | ||||
\(466\) | −6.58778 | + | 20.2751i | −0.305173 | + | 0.939225i | ||||
\(467\) | −31.9720 | + | 5.06387i | −1.47949 | + | 0.234328i | −0.843399 | − | 0.537288i | \(-0.819449\pi\) |
−0.636089 | + | 0.771616i | \(0.719449\pi\) | |||||||
\(468\) | 8.35987 | − | 1.08860i | 0.386435 | − | 0.0503205i | ||||
\(469\) | 21.5312 | − | 29.6352i | 0.994218 | − | 1.36842i | ||||
\(470\) | −1.54718 | − | 2.34771i | −0.0713659 | − | 0.108292i | ||||
\(471\) | 1.47744 | + | 4.77001i | 0.0680767 | + | 0.219790i | ||||
\(472\) | −30.4922 | − | 4.82948i | −1.40352 | − | 0.222295i | ||||
\(473\) | 2.94244 | − | 5.77486i | 0.135293 | − | 0.265528i | ||||
\(474\) | 1.75631 | − | 5.16196i | 0.0806701 | − | 0.237097i | ||||
\(475\) | −20.0039 | + | 4.53411i | −0.917843 | + | 0.208039i | ||||
\(476\) | − | 12.4873i | − | 0.572354i | ||||||
\(477\) | −16.6596 | − | 35.0548i | −0.762790 | − | 1.60505i | ||||
\(478\) | −2.25269 | + | 14.2229i | −0.103036 | + | 0.650541i | ||||
\(479\) | 13.5574 | − | 9.85002i | 0.619453 | − | 0.450059i | −0.233277 | − | 0.972410i | \(-0.574945\pi\) |
0.852730 | + | 0.522351i | \(0.174945\pi\) | |||||||
\(480\) | 1.34211 | − | 22.5573i | 0.0612587 | − | 1.02959i | ||||
\(481\) | 1.04457 | + | 0.758922i | 0.0476281 | + | 0.0346039i | ||||
\(482\) | −12.9815 | + | 12.9815i | −0.591291 | + | 0.591291i | ||||
\(483\) | 27.7558 | + | 4.78949i | 1.26293 | + | 0.217929i | ||||
\(484\) | 13.3865 | + | 4.34953i | 0.608477 | + | 0.197706i | ||||
\(485\) | 3.10261 | − | 5.45835i | 0.140882 | − | 0.247851i | ||||
\(486\) | −12.0638 | + | 3.01855i | −0.547224 | + | 0.136924i | ||||
\(487\) | −20.7468 | + | 10.5710i | −0.940128 | + | 0.479019i | −0.855736 | − | 0.517413i | \(-0.826895\pi\) |
−0.0843928 | + | 0.996433i | \(0.526895\pi\) | |||||||
\(488\) | −5.81670 | + | 2.96376i | −0.263310 | + | 0.134163i | ||||
\(489\) | −0.540149 | + | 39.1514i | −0.0244264 | + | 1.77049i | ||||
\(490\) | −12.3839 | − | 13.5690i | −0.559448 | − | 0.612986i | ||||
\(491\) | −6.06958 | − | 1.97213i | −0.273916 | − | 0.0890008i | 0.168838 | − | 0.985644i | \(-0.445999\pi\) |
−0.442754 | + | 0.896643i | \(0.645999\pi\) | |||||||
\(492\) | 4.02157 | − | 23.3056i | 0.181306 | − | 1.05070i | ||||
\(493\) | 1.59565 | − | 1.59565i | 0.0718646 | − | 0.0718646i | ||||
\(494\) | 5.45623 | + | 3.96418i | 0.245487 | + | 0.178357i | ||||
\(495\) | −4.69331 | + | 2.91050i | −0.210949 | + | 0.130817i | ||||
\(496\) | −2.06188 | + | 1.49804i | −0.0925809 | + | 0.0672640i | ||||
\(497\) | −5.60973 | + | 35.4184i | −0.251631 | + | 1.58873i | ||||
\(498\) | 7.56232 | − | 7.35650i | 0.338876 | − | 0.329653i | ||||
\(499\) | − | 7.52419i | − | 0.336829i | −0.985716 | − | 0.168414i | \(-0.946135\pi\) | ||
0.985716 | − | 0.168414i | \(-0.0538647\pi\) | |||||||
\(500\) | −13.7207 | − | 6.64574i | −0.613609 | − | 0.297207i | ||||
\(501\) | 8.23029 | + | 2.80028i | 0.367702 | + | 0.125108i | ||||
\(502\) | 8.83955 | − | 17.3486i | 0.394528 | − | 0.774306i | ||||
\(503\) | 3.76647 | + | 0.596550i | 0.167938 | + | 0.0265988i | 0.239837 | − | 0.970813i | \(-0.422906\pi\) |
−0.0718989 | + | 0.997412i | \(0.522906\pi\) | |||||||
\(504\) | −33.4680 | − | 0.923655i | −1.49078 | − | 0.0411428i | ||||
\(505\) | −2.48324 | − | 0.934109i | −0.110503 | − | 0.0415673i | ||||
\(506\) | −1.50931 | + | 2.07738i | −0.0670969 | + | 0.0923510i | ||||
\(507\) | 13.6018 | − | 6.69574i | 0.604077 | − | 0.297368i | ||||
\(508\) | 0.706523 | − | 0.111902i | 0.0313469 | − | 0.00496486i | ||||
\(509\) | 7.57480 | − | 23.3128i | 0.335747 | − | 1.03332i | −0.630606 | − | 0.776103i | \(-0.717193\pi\) |
0.966353 | − | 0.257220i | \(-0.0828066\pi\) | |||||||
\(510\) | 6.23413 | − | 2.72298i | 0.276052 | − | 0.120576i | ||||
\(511\) | 10.3026 | + | 31.7081i | 0.455760 | + | 1.40268i | ||||
\(512\) | −2.98289 | − | 5.85425i | −0.131826 | − | 0.258724i | ||||
\(513\) | 18.5760 | + | 10.4548i | 0.820153 | + | 0.461591i | ||||
\(514\) | 6.14546 | − | 1.99678i | 0.271065 | − | 0.0880742i | ||||
\(515\) | 15.8522 | + | 9.01065i | 0.698534 | + | 0.397057i | ||||
\(516\) | −14.8908 | − | 11.1358i | −0.655529 | − | 0.490228i | ||||
\(517\) | 0.202991 | + | 1.28163i | 0.00892751 | + | 0.0563661i | ||||
\(518\) | −1.46991 | − | 1.46991i | −0.0645840 | − | 0.0645840i | ||||
\(519\) | 13.6910 | − | 9.66139i | 0.600970 | − | 0.424088i | ||||
\(520\) | 3.28062 | + | 11.9220i | 0.143865 | + | 0.522815i | ||||
\(521\) | −4.68280 | − | 6.44532i | −0.205157 | − | 0.282375i | 0.694023 | − | 0.719953i | \(-0.255836\pi\) |
−0.899181 | + | 0.437578i | \(0.855836\pi\) | |||||||
\(522\) | −1.68589 | − | 1.78158i | −0.0737892 | − | 0.0779777i | ||||
\(523\) | −21.8864 | − | 11.1517i | −0.957024 | − | 0.487628i | −0.0955470 | − | 0.995425i | \(-0.530460\pi\) |
−0.861477 | + | 0.507797i | \(0.830460\pi\) | |||||||
\(524\) | 14.8775 | 0.649926 | ||||||||
\(525\) | −14.6615 | + | 32.9002i | −0.639882 | + | 1.43588i | ||||
\(526\) | 4.71983 | 0.205795 | ||||||||
\(527\) | −8.52389 | − | 4.34314i | −0.371307 | − | 0.189190i | ||||
\(528\) | −0.389966 | + | 0.739936i | −0.0169711 | + | 0.0322016i | ||||
\(529\) | 4.53357 | + | 6.23992i | 0.197112 | + | 0.271301i | ||||
\(530\) | 19.2698 | − | 12.6991i | 0.837027 | − | 0.551613i | ||||
\(531\) | 33.1083 | − | 9.75633i | 1.43678 | − | 0.423389i | ||||
\(532\) | 16.4512 | + | 16.4512i | 0.713251 | + | 0.713251i | ||||
\(533\) | 3.22822 | + | 20.3822i | 0.139830 | + | 0.882849i | ||||
\(534\) | −6.30309 | + | 8.42845i | −0.272761 | + | 0.364735i | ||||
\(535\) | 0.461679 | + | 1.01845i | 0.0199601 | + | 0.0440316i | ||||
\(536\) | 22.4762 | − | 7.30296i | 0.970824 | − | 0.315440i | ||||
\(537\) | −28.7561 | + | 4.14873i | −1.24092 | + | 0.179031i | ||||
\(538\) | 6.87662 | + | 13.4961i | 0.296472 | + | 0.581859i | ||||
\(539\) | 2.61990 | + | 8.06323i | 0.112847 | + | 0.347308i | ||||
\(540\) | 5.93873 | + | 14.6884i | 0.255562 | + | 0.632088i | ||||
\(541\) | 9.41180 | − | 28.9666i | 0.404645 | − | 1.24537i | −0.516546 | − | 0.856259i | \(-0.672783\pi\) |
0.921191 | − | 0.389110i | \(-0.127217\pi\) | |||||||
\(542\) | 0.481309 | − | 0.0762319i | 0.0206740 | − | 0.00327444i | ||||
\(543\) | 8.78870 | + | 17.8535i | 0.377159 | + | 0.766166i | ||||
\(544\) | 7.55103 | − | 10.3931i | 0.323748 | − | 0.445600i | ||||
\(545\) | −15.2680 | + | 19.1159i | −0.654008 | + | 0.818835i | ||||
\(546\) | 11.3131 | − | 3.50407i | 0.484157 | − | 0.149960i | ||||
\(547\) | −2.23808 | − | 0.354477i | −0.0956933 | − | 0.0151563i | 0.108404 | − | 0.994107i | \(-0.465426\pi\) |
−0.204097 | + | 0.978951i | \(0.565426\pi\) | |||||||
\(548\) | −0.154326 | + | 0.302881i | −0.00659246 | + | 0.0129384i | ||||
\(549\) | 4.45134 | − | 5.78418i | 0.189979 | − | 0.246863i | ||||
\(550\) | −2.10067 | − | 2.52390i | −0.0895728 | − | 0.107620i | ||||
\(551\) | 4.20435i | 0.179111i | ||||||||
\(552\) | 12.6708 | + | 13.0253i | 0.539304 | + | 0.554393i | ||||
\(553\) | −2.56749 | + | 16.2105i | −0.109181 | + | 0.689341i | ||||
\(554\) | −4.37037 | + | 3.17526i | −0.185679 | + | 0.134904i | ||||
\(555\) | −0.885569 | + | 2.25913i | −0.0375903 | + | 0.0958947i | ||||
\(556\) | 6.64896 | + | 4.83075i | 0.281979 | + | 0.204870i | ||||
\(557\) | 20.8227 | − | 20.8227i | 0.882285 | − | 0.882285i | −0.111482 | − | 0.993766i | \(-0.535560\pi\) |
0.993766 | + | 0.111482i | \(0.0355597\pi\) | |||||||
\(558\) | −4.97457 | + | 9.13127i | −0.210590 | + | 0.386557i | ||||
\(559\) | 15.4305 | + | 5.01367i | 0.652641 | + | 0.212056i | ||||
\(560\) | 0.606717 | + | 5.42142i | 0.0256385 | + | 0.229097i | ||||
\(561\) | −3.13927 | − | 0.0433108i | −0.132540 | − | 0.00182858i | ||||
\(562\) | 16.8870 | − | 8.60434i | 0.712334 | − | 0.362952i | ||||
\(563\) | 21.2508 | − | 10.8278i | 0.895616 | − | 0.456339i | 0.0553209 | − | 0.998469i | \(-0.482382\pi\) |
0.840295 | + | 0.542130i | \(0.182382\pi\) | |||||||
\(564\) | 3.72235 | + | 0.0513552i | 0.156739 | + | 0.00216244i | ||||
\(565\) | 0.0581590 | + | 0.519689i | 0.00244677 | + | 0.0218635i | ||||
\(566\) | −0.256586 | − | 0.0833698i | −0.0107851 | − | 0.00350429i | ||||
\(567\) | 34.2389 | − | 15.1285i | 1.43790 | − | 0.635337i | ||||
\(568\) | −16.3592 | + | 16.3592i | −0.686416 | + | 0.686416i | ||||
\(569\) | −35.4976 | − | 25.7905i | −1.48814 | − | 1.08120i | −0.974819 | − | 0.222997i | \(-0.928416\pi\) |
−0.513318 | − | 0.858198i | \(-0.671584\pi\) | |||||||
\(570\) | −4.62572 | + | 11.8004i | −0.193750 | + | 0.494265i | ||||
\(571\) | 11.5193 | − | 8.36924i | 0.482067 | − | 0.350242i | −0.320059 | − | 0.947398i | \(-0.603703\pi\) |
0.802125 | + | 0.597156i | \(0.203703\pi\) | |||||||
\(572\) | 0.361903 | − | 2.28497i | 0.0151319 | − | 0.0955393i | ||||
\(573\) | −9.47820 | − | 9.74339i | −0.395958 | − | 0.407036i | ||||
\(574\) | − | 33.2244i | − | 1.38676i | ||||||
\(575\) | 18.1549 | − | 7.25077i | 0.757114 | − | 0.302378i | ||||
\(576\) | −8.27687 | − | 6.36964i | −0.344870 | − | 0.265402i | ||||
\(577\) | 7.57253 | − | 14.8619i | 0.315248 | − | 0.618710i | −0.677955 | − | 0.735104i | \(-0.737133\pi\) |
0.993203 | + | 0.116394i | \(0.0371335\pi\) | |||||||
\(578\) | −9.57495 | − | 1.51652i | −0.398265 | − | 0.0630790i | ||||
\(579\) | −0.277867 | + | 0.0860650i | −0.0115477 | + | 0.00357674i | ||||
\(580\) | −1.95022 | + | 2.44173i | −0.0809785 | + | 0.101387i | ||||
\(581\) | −18.6662 | + | 25.6918i | −0.774404 | + | 1.06588i | ||||
\(582\) | −1.71350 | − | 3.48082i | −0.0710267 | − | 0.144285i | ||||
\(583\) | −10.5195 | + | 1.66613i | −0.435675 | + | 0.0690041i | ||||
\(584\) | −6.64682 | + | 20.4568i | −0.275047 | + | 0.846508i | ||||
\(585\) | −9.03407 | − | 10.4644i | −0.373513 | − | 0.432649i | ||||
\(586\) | −1.23467 | − | 3.79992i | −0.0510037 | − | 0.156973i | ||||
\(587\) | 10.5883 | + | 20.7807i | 0.437027 | + | 0.857713i | 0.999522 | + | 0.0309128i | \(0.00984142\pi\) |
−0.562495 | + | 0.826800i | \(0.690159\pi\) | |||||||
\(588\) | 24.0738 | − | 3.47319i | 0.992786 | − | 0.143232i | ||||
\(589\) | 16.9515 | − | 5.50788i | 0.698475 | − | 0.226948i | ||||
\(590\) | 8.47357 | + | 18.6925i | 0.348851 | + | 0.769558i | ||||
\(591\) | 7.24634 | − | 9.68975i | 0.298074 | − | 0.398583i | ||||
\(592\) | 0.0574902 | + | 0.362979i | 0.00236283 | + | 0.0149183i | ||||
\(593\) | −8.44575 | − | 8.44575i | −0.346826 | − | 0.346826i | 0.512100 | − | 0.858926i | \(-0.328868\pi\) |
−0.858926 | + | 0.512100i | \(0.828868\pi\) | |||||||
\(594\) | −0.141194 | + | 3.40963i | −0.00579326 | + | 0.139899i | ||||
\(595\) | −17.0981 | + | 11.2679i | −0.700954 | + | 0.461939i | ||||
\(596\) | 14.9042 | + | 20.5139i | 0.610500 | + | 0.840281i | ||||
\(597\) | 5.93364 | − | 11.2587i | 0.242848 | − | 0.460788i | ||||
\(598\) | −5.72735 | − | 2.91823i | −0.234209 | − | 0.119335i | ||||
\(599\) | 16.6438 | 0.680046 | 0.340023 | − | 0.940417i | \(-0.389565\pi\) | ||||
0.340023 | + | 0.940417i | \(0.389565\pi\) | |||||||
\(600\) | −20.1288 | + | 11.6122i | −0.821753 | + | 0.474067i | ||||
\(601\) | 39.5517 | 1.61335 | 0.806675 | − | 0.590996i | \(-0.201265\pi\) | ||||
0.806675 | + | 0.590996i | \(0.201265\pi\) | |||||||
\(602\) | −23.2745 | − | 11.8590i | −0.948599 | − | 0.483336i | ||||
\(603\) | −19.1916 | + | 18.1607i | −0.781541 | + | 0.739561i | ||||
\(604\) | −12.5811 | − | 17.3164i | −0.511917 | − | 0.704593i | ||||
\(605\) | −6.12373 | − | 22.2541i | −0.248965 | − | 0.904758i | ||||
\(606\) | −1.33951 | + | 0.945259i | −0.0544141 | + | 0.0383985i | ||||
\(607\) | −17.7174 | − | 17.7174i | −0.719126 | − | 0.719126i | 0.249300 | − | 0.968426i | \(-0.419799\pi\) |
−0.968426 | + | 0.249300i | \(0.919799\pi\) | |||||||
\(608\) | 3.74425 | + | 23.6403i | 0.151849 | + | 0.958739i | ||||
\(609\) | 5.91262 | + | 4.42166i | 0.239591 | + | 0.179175i | ||||
\(610\) | 3.77295 | + | 2.14460i | 0.152762 | + | 0.0868324i | ||||
\(611\) | −3.08932 | + | 1.00378i | −0.124981 | + | 0.0406086i | ||||
\(612\) | −1.65391 | + | 8.85397i | −0.0668555 | + | 0.357900i | ||||
\(613\) | −11.3342 | − | 22.2447i | −0.457786 | − | 0.898455i | −0.998365 | − | 0.0571622i | \(-0.981795\pi\) |
0.540579 | − | 0.841293i | \(-0.318205\pi\) | |||||||
\(614\) | −5.52593 | − | 17.0071i | −0.223009 | − | 0.686350i | ||||
\(615\) | −35.5399 | + | 15.5233i | −1.43311 | + | 0.625961i | ||||
\(616\) | −2.83914 | + | 8.73798i | −0.114392 | + | 0.352063i | ||||
\(617\) | −33.4170 | + | 5.29273i | −1.34532 | + | 0.213077i | −0.787207 | − | 0.616689i | \(-0.788474\pi\) |
−0.558111 | + | 0.829766i | \(0.688474\pi\) | |||||||
\(618\) | 10.1091 | − | 4.97637i | 0.406646 | − | 0.200179i | ||||
\(619\) | −24.5183 | + | 33.7466i | −0.985474 | + | 1.35639i | −0.0516465 | + | 0.998665i | \(0.516447\pi\) |
−0.933828 | + | 0.357723i | \(0.883553\pi\) | |||||||
\(620\) | 12.3997 | + | 4.66432i | 0.497983 | + | 0.187324i | ||||
\(621\) | −19.0456 | − | 7.07213i | −0.764273 | − | 0.283795i | ||||
\(622\) | −25.2295 | − | 3.99596i | −1.01161 | − | 0.160224i | ||||
\(623\) | 14.3823 | − | 28.2269i | 0.576216 | − | 1.13089i | ||||
\(624\) | −1.98219 | − | 0.674423i | −0.0793511 | − | 0.0269985i | ||||
\(625\) | 3.28126 | + | 24.7837i | 0.131250 | + | 0.991349i | ||||
\(626\) | 4.74540i | 0.189664i | ||||||||
\(627\) | 4.19286 | − | 4.07874i | 0.167447 | − | 0.162889i | ||||
\(628\) | 0.614991 | − | 3.88290i | 0.0245408 | − | 0.154945i | ||||
\(629\) | −1.11602 | + | 0.810835i | −0.0444986 | + | 0.0323301i | ||||
\(630\) | 11.7302 | + | 18.9156i | 0.467344 | + | 0.753614i | ||||
\(631\) | −28.3551 | − | 20.6012i | −1.12880 | − | 0.820119i | −0.143278 | − | 0.989682i | \(-0.545764\pi\) |
−0.985519 | + | 0.169563i | \(0.945764\pi\) | |||||||
\(632\) | −7.48736 | + | 7.48736i | −0.297831 | + | 0.297831i | ||||
\(633\) | 2.29723 | − | 13.3128i | 0.0913066 | − | 0.529136i | ||||
\(634\) | 2.43521 | + | 0.791247i | 0.0967145 | + | 0.0314244i | ||||
\(635\) | −0.790751 | − | 0.866425i | −0.0313800 | − | 0.0343830i | ||||
\(636\) | −0.421519 | + | 30.5528i | −0.0167143 | + | 1.21150i | ||||
\(637\) | −18.9102 | + | 9.63524i | −0.749250 | + | 0.381762i | ||||
\(638\) | −0.599726 | + | 0.305576i | −0.0237434 | + | 0.0120979i | ||||
\(639\) | 8.66860 | − | 24.3700i | 0.342925 | − | 0.964064i | ||||
\(640\) | −9.82534 | + | 17.2855i | −0.388381 | + | 0.683270i | ||||
\(641\) | 3.57460 | + | 1.16146i | 0.141188 | + | 0.0458748i | 0.378759 | − | 0.925495i | \(-0.376351\pi\) |
−0.237570 | + | 0.971370i | \(0.576351\pi\) | |||||||
\(642\) | 0.680918 | + | 0.117498i | 0.0268737 | + | 0.00463727i | ||||
\(643\) | 11.9209 | − | 11.9209i | 0.470114 | − | 0.470114i | −0.431837 | − | 0.901952i | \(-0.642135\pi\) |
0.901952 | + | 0.431837i | \(0.142135\pi\) | |||||||
\(644\) | −17.9394 | − | 13.0337i | −0.706912 | − | 0.513601i | ||||
\(645\) | −1.81096 | + | 30.4374i | −0.0713066 | + | 1.19847i | ||||
\(646\) | −5.82945 | + | 4.23535i | −0.229357 | + | 0.166637i | ||||
\(647\) | −3.93623 | + | 24.8524i | −0.154749 | + | 0.977048i | 0.781038 | + | 0.624483i | \(0.214690\pi\) |
−0.935787 | + | 0.352565i | \(0.885310\pi\) | |||||||
\(648\) | 23.6078 | + | 5.08767i | 0.927401 | + | 0.199863i | ||||
\(649\) | − | 9.47171i | − | 0.371797i | ||||||
\(650\) | 5.41768 | − | 6.18223i | 0.212499 | − | 0.242487i | ||||
\(651\) | 10.0819 | − | 29.6316i | 0.395141 | − | 1.16136i | ||||
\(652\) | 13.9946 | − | 27.4659i | 0.548070 | − | 1.07565i | ||||
\(653\) | −2.91497 | − | 0.461685i | −0.114071 | − | 0.0180671i | 0.0991377 | − | 0.995074i | \(-0.468392\pi\) |
−0.213209 | + | 0.977007i | \(0.568392\pi\) | |||||||
\(654\) | 4.47283 | + | 14.4408i | 0.174902 | + | 0.564682i | ||||
\(655\) | −13.4247 | − | 20.3709i | −0.524546 | − | 0.795955i | ||||
\(656\) | −3.45249 | + | 4.75194i | −0.134797 | + | 0.185532i | ||||
\(657\) | −3.10527 | − | 23.8468i | −0.121148 | − | 0.930354i | ||||
\(658\) | 5.16539 | − | 0.818117i | 0.201368 | − | 0.0318935i | ||||
\(659\) | −0.539737 | + | 1.66114i | −0.0210252 | + | 0.0647089i | −0.961019 | − | 0.276484i | \(-0.910831\pi\) |
0.939993 | + | 0.341193i | \(0.110831\pi\) | |||||||
\(660\) | 4.32701 | − | 0.423888i | 0.168429 | − | 0.0164998i | ||||
\(661\) | 1.41519 | + | 4.35551i | 0.0550446 | + | 0.169410i | 0.974799 | − | 0.223084i | \(-0.0716124\pi\) |
−0.919755 | + | 0.392494i | \(0.871612\pi\) | |||||||
\(662\) | −10.9229 | − | 21.4375i | −0.424532 | − | 0.833192i | ||||
\(663\) | −1.12226 | − | 7.77876i | −0.0435851 | − | 0.302102i | ||||
\(664\) | −19.4854 | + | 6.33120i | −0.756182 | + | 0.245698i | ||||
\(665\) | 7.68093 | − | 37.3704i | 0.297854 | − | 1.44916i | ||||
\(666\) | 0.847535 | + | 1.23691i | 0.0328413 | + | 0.0479292i | ||||
\(667\) | −0.626857 | − | 3.95782i | −0.0242720 | − | 0.153247i | ||||
\(668\) | −4.83962 | − | 4.83962i | −0.187250 | − | 0.187250i | ||||
\(669\) | 10.2896 | + | 14.5812i | 0.397817 | + | 0.563742i | ||||
\(670\) | −12.2758 | − | 9.80475i | −0.474256 | − | 0.378791i | ||||
\(671\) | −1.17727 | − | 1.62037i | −0.0454478 | − | 0.0625536i | ||||
\(672\) | 37.1833 | + | 19.5966i | 1.43438 | + | 0.755955i | ||||
\(673\) | 28.2449 | + | 14.3915i | 1.08876 | + | 0.554752i | 0.903783 | − | 0.427991i | \(-0.140778\pi\) |
0.184979 | + | 0.982743i | \(0.440778\pi\) | |||||||
\(674\) | 14.4901 | 0.558137 | ||||||||
\(675\) | 14.7531 | − | 21.3856i | 0.567849 | − | 0.823133i | ||||
\(676\) | −11.9355 | −0.459056 | ||||||||
\(677\) | 34.0770 | + | 17.3631i | 1.30969 | + | 0.667318i | 0.962705 | − | 0.270554i | \(-0.0872068\pi\) |
0.346981 | + | 0.937872i | \(0.387207\pi\) | |||||||
\(678\) | 0.285867 | + | 0.150660i | 0.0109787 | + | 0.00578605i | ||||
\(679\) | 6.86427 | + | 9.44785i | 0.263426 | + | 0.362575i | ||||
\(680\) | −13.1972 | − | 0.602638i | −0.506090 | − | 0.0231101i | ||||
\(681\) | 10.1707 | + | 14.4127i | 0.389741 | + | 0.552297i | ||||
\(682\) | 2.01772 | + | 2.01772i | 0.0772624 | + | 0.0772624i | ||||
\(683\) | −4.16502 | − | 26.2969i | −0.159370 | − | 1.00622i | −0.929631 | − | 0.368493i | \(-0.879874\pi\) |
0.770261 | − | 0.637729i | \(-0.220126\pi\) | |||||||
\(684\) | −9.48562 | − | 13.8435i | −0.362692 | − | 0.529318i | ||||
\(685\) | 0.553972 | − | 0.0619956i | 0.0211662 | − | 0.00236873i | ||||
\(686\) | 10.4085 | − | 3.38191i | 0.397397 | − | 0.129122i | ||||
\(687\) | −0.765657 | − | 5.30701i | −0.0292117 | − | 0.202475i | ||||
\(688\) | 2.09654 | + | 4.11469i | 0.0799299 | + | 0.156871i | ||||
\(689\) | −8.23896 | − | 25.3569i | −0.313879 | − | 0.966021i | ||||
\(690\) | 2.59507 | − | 11.7982i | 0.0987925 | − | 0.449149i | ||||
\(691\) | 5.93823 | − | 18.2760i | 0.225901 | − | 0.695251i | −0.772298 | − | 0.635260i | \(-0.780893\pi\) |
0.998199 | − | 0.0599910i | \(-0.0191072\pi\) | |||||||
\(692\) | −13.0297 | + | 2.06370i | −0.495313 | + | 0.0784499i | ||||
\(693\) | −1.32639 | − | 10.1860i | −0.0503855 | − | 0.386935i | ||||
\(694\) | 3.43187 | − | 4.72356i | 0.130272 | − | 0.179304i | ||||
\(695\) | 0.614777 | − | 13.4631i | 0.0233198 | − | 0.510683i | ||||
\(696\) | 1.40930 | + | 4.55002i | 0.0534193 | + | 0.172468i | ||||
\(697\) | −21.7764 | − | 3.44904i | −0.824839 | − | 0.130642i | ||||
\(698\) | −10.8128 | + | 21.2214i | −0.409272 | + | 0.803242i | ||||
\(699\) | −14.9091 | + | 43.8192i | −0.563913 | + | 1.65739i | ||||
\(700\) | 21.7954 | − | 18.1405i | 0.823787 | − | 0.685645i | ||||
\(701\) | 0.220983i | 0.00834642i | 0.999991 | + | 0.00417321i | \(0.00132838\pi\) | ||||
−0.999991 | + | 0.00417321i | \(0.998672\pi\) | |||||||
\(702\) | −8.48555 | + | 0.986122i | −0.320266 | + | 0.0372188i | ||||
\(703\) | 0.402060 | − | 2.53851i | 0.0151640 | − | 0.0957416i | ||||
\(704\) | −2.31866 | + | 1.68461i | −0.0873879 | + | 0.0634910i | ||||
\(705\) | −3.28854 | − | 5.14313i | −0.123854 | − | 0.193702i | ||||
\(706\) | 16.2189 | + | 11.7837i | 0.610406 | + | 0.443486i | ||||
\(707\) | 3.48948 | − | 3.48948i | 0.131235 | − | 0.131235i | ||||
\(708\) | −26.7776 | − | 4.62069i | −1.00637 | − | 0.173656i | ||||
\(709\) | −2.06234 | − | 0.670095i | −0.0774529 | − | 0.0251660i | 0.270034 | − | 0.962851i | \(-0.412965\pi\) |
−0.347487 | + | 0.937685i | \(0.612965\pi\) | |||||||
\(710\) | 15.0651 | + | 3.09641i | 0.565384 | + | 0.116206i | ||||
\(711\) | 3.96750 | − | 11.1538i | 0.148793 | − | 0.418301i | ||||
\(712\) | 18.2109 | − | 9.27889i | 0.682481 | − | 0.347741i | ||||
\(713\) | −15.1363 | + | 7.71234i | −0.566860 | + | 0.288829i | ||||
\(714\) | −0.174556 | + | 12.6523i | −0.00653261 | + | 0.473500i | ||||
\(715\) | −3.45523 | + | 1.56631i | −0.129218 | + | 0.0585765i | ||||
\(716\) | 21.7538 | + | 7.06824i | 0.812978 | + | 0.264152i | ||||
\(717\) | −5.31650 | + | 30.8099i | −0.198548 | + | 1.15062i | ||||
\(718\) | −7.16353 | + | 7.16353i | −0.267341 | + | 0.267341i | ||||
\(719\) | 15.7124 | + | 11.4158i | 0.585975 | + | 0.425736i | 0.840873 | − | 0.541232i | \(-0.182042\pi\) |
−0.254898 | + | 0.966968i | \(0.582042\pi\) | |||||||
\(720\) | 0.287869 | − | 3.92435i | 0.0107282 | − | 0.146252i | ||||
\(721\) | −27.4386 | + | 19.9353i | −1.02187 | + | 0.742431i | ||||
\(722\) | −0.270980 | + | 1.71090i | −0.0100848 | + | 0.0636730i | ||||
\(723\) | −28.5712 | + | 27.7935i | −1.06257 | + | 1.03365i | ||||
\(724\) | − | 15.6663i | − | 0.582232i | ||||||
\(725\) | 5.10309 | + | 0.467029i | 0.189524 | + | 0.0173450i | ||||
\(726\) | −13.5026 | − | 4.59413i | −0.501127 | − | 0.170504i | ||||
\(727\) | −16.6945 | + | 32.7648i | −0.619165 | + | 1.21518i | 0.342129 | + | 0.939653i | \(0.388852\pi\) |
−0.961294 | + | 0.275526i | \(0.911148\pi\) | |||||||
\(728\) | −22.7163 | − | 3.59791i | −0.841923 | − | 0.133348i | ||||
\(729\) | −26.2804 | + | 6.19182i | −0.973350 | + | 0.229327i | ||||
\(730\) | 13.7868 | − | 3.79375i | 0.510272 | − | 0.140413i | ||||
\(731\) | −10.1889 | + | 14.0238i | −0.376850 | + | 0.518690i | ||||
\(732\) | −5.15529 | + | 2.53779i | −0.190545 | + | 0.0937993i | ||||
\(733\) | 1.59421 | − | 0.252499i | 0.0588837 | − | 0.00932625i | −0.126923 | − | 0.991913i | \(-0.540510\pi\) |
0.185807 | + | 0.982586i | \(0.440510\pi\) | |||||||
\(734\) | −1.49304 | + | 4.59509i | −0.0551090 | + | 0.169608i | ||||
\(735\) | −26.4786 | − | 29.8288i | −0.976677 | − | 1.10025i | ||||
\(736\) | −7.04940 | − | 21.6958i | −0.259844 | − | 0.799718i | ||||
\(737\) | 3.29172 | + | 6.46037i | 0.121252 | + | 0.237971i | ||||
\(738\) | −4.40049 | + | 23.5574i | −0.161984 | + | 0.867158i | ||||
\(739\) | −24.4088 | + | 7.93089i | −0.897891 | + | 0.291742i | −0.721366 | − | 0.692554i | \(-0.756485\pi\) |
−0.176524 | + | 0.984296i | \(0.556485\pi\) | |||||||
\(740\) | 1.41101 | − | 1.28777i | 0.0518697 | − | 0.0473394i | ||||
\(741\) | 11.7265 | + | 8.76952i | 0.430785 | + | 0.322156i | ||||
\(742\) | 6.71504 | + | 42.3971i | 0.246517 | + | 1.55645i | ||||
\(743\) | 26.1015 | + | 26.1015i | 0.957570 | + | 0.957570i | 0.999136 | − | 0.0415654i | \(-0.0132345\pi\) |
−0.0415654 | + | 0.999136i | \(0.513234\pi\) | |||||||
\(744\) | 16.4990 | − | 11.6429i | 0.604882 | − | 0.426848i | ||||
\(745\) | 14.6396 | − | 38.9181i | 0.536355 | − | 1.42585i | ||||
\(746\) | −14.6771 | − | 20.2012i | −0.537365 | − | 0.739620i | ||||
\(747\) | 16.6379 | − | 15.7442i | 0.608748 | − | 0.576049i | ||||
\(748\) | 2.20230 | + | 1.12213i | 0.0805240 | + | 0.0410290i | ||||
\(749\) | −2.07990 | −0.0759978 | ||||||||
\(750\) | 13.8091 | + | 6.92535i | 0.504237 | + | 0.252878i | ||||
\(751\) | −12.2815 | −0.448159 | −0.224080 | − | 0.974571i | \(-0.571938\pi\) | ||||
−0.224080 | + | 0.974571i | \(0.571938\pi\) | |||||||
\(752\) | −0.823797 | − | 0.419746i | −0.0300408 | − | 0.0153066i | ||||
\(753\) | 19.7100 | − | 37.3984i | 0.718271 | − | 1.36287i | ||||
\(754\) | −0.990385 | − | 1.36315i | −0.0360677 | − | 0.0496429i | ||||
\(755\) | −12.3577 | + | 32.8519i | −0.449744 | + | 1.19560i | ||||
\(756\) | −29.4441 | − | 1.21929i | −1.07087 | − | 0.0443452i | ||||
\(757\) | 22.5009 | + | 22.5009i | 0.817809 | + | 0.817809i | 0.985790 | − | 0.167981i | \(-0.0537248\pi\) |
−0.167981 | + | 0.985790i | \(0.553725\pi\) | |||||||
\(758\) | −3.15975 | − | 19.9499i | −0.114767 | − | 0.724611i | ||||
\(759\) | −3.33887 | + | 4.46472i | −0.121193 | + | 0.162059i | ||||
\(760\) | 18.1804 | − | 16.5926i | 0.659474 | − | 0.601876i | ||||
\(761\) | 38.3291 | − | 12.4539i | 1.38943 | − | 0.451452i | 0.483671 | − | 0.875250i | \(-0.339303\pi\) |
0.905757 | + | 0.423798i | \(0.139303\pi\) | |||||||
\(762\) | −0.717423 | + | 0.103505i | −0.0259895 | + | 0.00374957i | ||||
\(763\) | −20.6589 | − | 40.5454i | −0.747903 | − | 1.46784i | ||||
\(764\) | 3.30691 | + | 10.1776i | 0.119640 | + | 0.368214i | ||||
\(765\) | 13.6156 | − | 5.72477i | 0.492274 | − | 0.206979i | ||||
\(766\) | 4.49304 | − | 13.8281i | 0.162340 | − | 0.499631i | ||||
\(767\) | 23.4186 | − | 3.70915i | 0.845598 | − | 0.133930i | ||||
\(768\) | 10.7526 | + | 21.8429i | 0.388000 | + | 0.788188i | ||||
\(769\) | −15.3988 | + | 21.1946i | −0.555293 | + | 0.764296i | −0.990719 | − | 0.135929i | \(-0.956598\pi\) |
0.435425 | + | 0.900225i | \(0.356598\pi\) | |||||||
\(770\) | 5.88893 | − | 1.62047i | 0.212222 | − | 0.0583979i | ||||
\(771\) | 13.4014 | − | 4.15087i | 0.482638 | − | 0.149490i | ||||
\(772\) | 0.226190 | + | 0.0358250i | 0.00814076 | + | 0.00128937i | ||||
\(773\) | −21.3850 | + | 41.9705i | −0.769166 | + | 1.50957i | 0.0889039 | + | 0.996040i | \(0.471664\pi\) |
−0.858070 | + | 0.513533i | \(0.828336\pi\) | |||||||
\(774\) | 14.9318 | + | 11.4911i | 0.536714 | + | 0.413040i | ||||
\(775\) | −4.80226 | − | 21.1870i | −0.172502 | − | 0.761059i | ||||
\(776\) | 7.53429i | 0.270465i | ||||||||
\(777\) | −3.14709 | − | 3.23514i | −0.112901 | − | 0.116060i | ||||
\(778\) | 0.980289 | − | 6.18930i | 0.0351451 | − | 0.221897i | ||||
\(779\) | 33.2329 | − | 24.1451i | 1.19069 | − | 0.865088i | ||||
\(780\) | 2.74252 | + | 10.5325i | 0.0981981 | + | 0.377122i | ||||
\(781\) | −5.74241 | − | 4.17211i | −0.205480 | − | 0.149290i | ||||
\(782\) | 4.85616 | − | 4.85616i | 0.173656 | − | 0.173656i | ||||
\(783\) | −3.60663 | − | 3.91824i | −0.128891 | − | 0.140027i | ||||
\(784\) | −5.74520 | − | 1.86673i | −0.205186 | − | 0.0666689i | ||||
\(785\) | −5.87156 | + | 2.66166i | −0.209565 | + | 0.0949988i | ||||
\(786\) | −15.0741 | − | 0.207968i | −0.537674 | − | 0.00741799i | ||||
\(787\) | 33.2595 | − | 16.9466i | 1.18557 | − | 0.604081i | 0.253849 | − | 0.967244i | \(-0.418303\pi\) |
0.931726 | + | 0.363163i | \(0.118303\pi\) | |||||||
\(788\) | −8.48745 | + | 4.32457i | −0.302353 | + | 0.154056i | ||||
\(789\) | 10.2466 | + | 0.141366i | 0.364788 | + | 0.00503278i | ||||
\(790\) | 6.89510 | + | 1.41718i | 0.245317 | + | 0.0504211i | ||||
\(791\) | −0.925063 | − | 0.300571i | −0.0328914 | − | 0.0106871i | ||||
\(792\) | 3.17039 | − | 5.81953i | 0.112655 | − | 0.206788i | ||||
\(793\) | 3.54531 | − | 3.54531i | 0.125898 | − | 0.125898i | ||||
\(794\) | 21.8029 | + | 15.8407i | 0.773755 | + | 0.562166i | ||||
\(795\) | 42.2144 | − | 26.9921i | 1.49719 | − | 0.957311i | ||||
\(796\) | −8.10578 | + | 5.88920i | −0.287302 | + | 0.208737i | ||||
\(797\) | −1.63671 | + | 10.3338i | −0.0579751 | + | 0.366041i | 0.941596 | + | 0.336746i | \(0.109326\pi\) |
−0.999571 | + | 0.0292950i | \(0.990674\pi\) | |||||||
\(798\) | −16.4386 | − | 16.8986i | −0.581921 | − | 0.598203i | ||||
\(799\) | − | 3.47050i | − | 0.122777i | ||||||
\(800\) | 29.1096 | − | 1.91862i | 1.02918 | − | 0.0678336i | ||||
\(801\) | −13.9362 | + | 18.1091i | −0.492412 | + | 0.639852i | ||||
\(802\) | −4.64819 | + | 9.12258i | −0.164133 | + | 0.322130i | ||||
\(803\) | −6.51796 | − | 1.03234i | −0.230014 | − | 0.0364306i | ||||
\(804\) | 19.8701 | − | 6.15445i | 0.700763 | − | 0.217051i | ||||
\(805\) | −1.65871 | + | 36.3243i | −0.0584620 | + | 1.28026i | ||||
\(806\) | −4.19863 | + | 5.77892i | −0.147890 | + | 0.203554i | ||||
\(807\) | 14.5246 | + | 29.5055i | 0.511292 | + | 1.03864i | ||||
\(808\) | 3.14458 | − | 0.498052i | 0.110626 | − | 0.0175214i | ||||
\(809\) | −5.56217 | + | 17.1186i | −0.195555 | + | 0.601857i | 0.804414 | + | 0.594069i | \(0.202479\pi\) |
−0.999970 | + | 0.00778874i | \(0.997521\pi\) | |||||||
\(810\) | −5.81187 | − | 14.9655i | −0.204208 | − | 0.525834i | ||||
\(811\) | 8.59614 | + | 26.4562i | 0.301851 | + | 0.929002i | 0.980834 | + | 0.194848i | \(0.0624213\pi\) |
−0.678982 | + | 0.734155i | \(0.737579\pi\) | |||||||
\(812\) | −2.63882 | − | 5.17898i | −0.0926045 | − | 0.181747i | ||||
\(813\) | 1.04719 | − | 0.151081i | 0.0367265 | − | 0.00529863i | ||||
\(814\) | 0.391326 | − | 0.127149i | 0.0137160 | − | 0.00445659i | ||||
\(815\) | −50.2354 | + | 5.62190i | −1.75967 | + | 0.196926i | ||||
\(816\) | 1.33972 | − | 1.79146i | 0.0468995 | − | 0.0627138i | ||||
\(817\) | −5.05227 | − | 31.8988i | −0.176756 | − | 1.11600i | ||||
\(818\) | −12.2881 | − | 12.2881i | −0.429644 | − | 0.429644i | ||||
\(819\) | 24.6653 | − | 7.26836i | 0.861876 | − | 0.253977i | ||||
\(820\) | 30.5003 | + | 1.39277i | 1.06512 | + | 0.0486375i | ||||
\(821\) | −19.5249 | − | 26.8737i | −0.681424 | − | 0.937900i | 0.318526 | − | 0.947914i | \(-0.396812\pi\) |
−0.999950 | + | 0.0100144i | \(0.996812\pi\) | |||||||
\(822\) | 0.160599 | − | 0.304726i | 0.00560152 | − | 0.0106285i | ||||
\(823\) | 41.0422 | + | 20.9120i | 1.43064 | + | 0.728948i | 0.985998 | − | 0.166760i | \(-0.0533305\pi\) |
0.444643 | + | 0.895708i | \(0.353330\pi\) | |||||||
\(824\) | −21.8812 | −0.762269 | ||||||||
\(825\) | −4.48488 | − | 5.54222i | −0.156143 | − | 0.192955i | ||||
\(826\) | −38.1741 | −1.32825 | ||||||||
\(827\) | 8.28244 | + | 4.22012i | 0.288009 | + | 0.146748i | 0.592026 | − | 0.805919i | \(-0.298328\pi\) |
−0.304018 | + | 0.952666i | \(0.598328\pi\) | |||||||
\(828\) | 10.9934 | + | 11.6175i | 0.382048 | + | 0.403735i | ||||
\(829\) | 30.8259 | + | 42.4282i | 1.07063 | + | 1.47359i | 0.869440 | + | 0.494038i | \(0.164480\pi\) |
0.201187 | + | 0.979553i | \(0.435520\pi\) | |||||||
\(830\) | 10.6424 | + | 8.50010i | 0.369401 | + | 0.295043i | ||||
\(831\) | −9.58301 | + | 6.76247i | −0.332431 | + | 0.234587i | ||||
\(832\) | −5.07316 | − | 5.07316i | −0.175880 | − | 0.175880i | ||||
\(833\) | −3.54718 | − | 22.3960i | −0.122903 | − | 0.775976i | ||||
\(834\) | −6.66929 | − | 4.98753i | −0.230939 | − | 0.172704i | ||||
\(835\) | −2.25957 | + | 10.9936i | −0.0781958 | + | 0.380450i | ||||
\(836\) | −4.37972 | + | 1.42306i | −0.151476 | + | 0.0492175i | ||||
\(837\) | −11.0731 | + | 19.6747i | −0.382743 | + | 0.680055i | ||||
\(838\) | 0.504878 | + | 0.990879i | 0.0174407 | + | 0.0342293i | ||||
\(839\) | −2.11417 | − | 6.50675i | −0.0729893 | − | 0.224638i | 0.907906 | − | 0.419173i | \(-0.137680\pi\) |
−0.980895 | + | 0.194536i | \(0.937680\pi\) | |||||||
\(840\) | −4.21415 | − | 43.0176i | −0.145402 | − | 1.48425i | ||||
\(841\) | −8.63691 | + | 26.5817i | −0.297824 | + | 0.916609i | ||||
\(842\) | 5.77774 | − | 0.915103i | 0.199114 | − | 0.0315365i | ||||
\(843\) | 36.9187 | − | 18.1739i | 1.27155 | − | 0.625943i | ||||
\(844\) | −6.25149 | + | 8.60444i | −0.215185 | + | 0.296177i | ||||
\(845\) | 10.7700 | + | 16.3425i | 0.370498 | + | 0.562200i | ||||
\(846\) | −3.77082 | − | 0.104067i | −0.129643 | − | 0.00357791i | ||||
\(847\) | 42.4032 | + | 6.71600i | 1.45699 | + | 0.230765i | ||||
\(848\) | 3.44524 | − | 6.76166i | 0.118310 | − | 0.232196i | ||||
\(849\) | −0.554541 | − | 0.188678i | −0.0190318 | − | 0.00647541i | ||||
\(850\) | 4.49317 | + | 7.54606i | 0.154114 | + | 0.258828i | ||||
\(851\) | 2.44960i | 0.0839714i | ||||||||
\(852\) | −14.5964 | + | 14.1991i | −0.500065 | + | 0.486454i | ||||
\(853\) | 6.64652 | − | 41.9645i | 0.227572 | − | 1.43684i | −0.564007 | − | 0.825770i | \(-0.690741\pi\) |
0.791580 | − | 0.611066i | \(-0.209259\pi\) | |||||||
\(854\) | −6.53060 | + | 4.74476i | −0.223473 | + | 0.162362i | ||||
\(855\) | −10.3957 | + | 25.4797i | −0.355525 | + | 0.871389i | ||||
\(856\) | −1.08559 | − | 0.788729i | −0.0371048 | − | 0.0269582i | ||||
\(857\) | −10.9642 | + | 10.9642i | −0.374531 | + | 0.374531i | −0.869124 | − | 0.494594i | \(-0.835317\pi\) |
0.494594 | + | 0.869124i | \(0.335317\pi\) | |||||||
\(858\) | −0.398626 | + | 2.31010i | −0.0136089 | + | 0.0788655i | ||||
\(859\) | 3.50429 | + | 1.13861i | 0.119565 | + | 0.0388490i | 0.368188 | − | 0.929751i | \(-0.379978\pi\) |
−0.248623 | + | 0.968600i | \(0.579978\pi\) | |||||||
\(860\) | 11.8623 | − | 20.8691i | 0.404502 | − | 0.711632i | ||||
\(861\) | 0.995121 | − | 72.1289i | 0.0339136 | − | 2.45815i | ||||
\(862\) | 25.5046 | − | 12.9952i | 0.868690 | − | 0.442620i | ||||
\(863\) | 19.6805 | − | 10.0277i | 0.669930 | − | 0.341347i | −0.0857223 | − | 0.996319i | \(-0.527320\pi\) |
0.755653 | + | 0.654972i | \(0.227320\pi\) | |||||||
\(864\) | −23.7689 | − | 18.8196i | −0.808634 | − | 0.640255i | ||||
\(865\) | 14.5830 | + | 15.9786i | 0.495837 | + | 0.543287i | ||||
\(866\) | 18.4333 | + | 5.98935i | 0.626390 | + | 0.203526i | ||||
\(867\) | −20.7414 | − | 3.57910i | −0.704416 | − | 0.121553i | ||||
\(868\) | −17.4242 | + | 17.4242i | −0.591414 | + | 0.591414i | ||||
\(869\) | −2.62822 | − | 1.90951i | −0.0891563 | − | 0.0647758i | ||||
\(870\) | 2.01012 | − | 2.44673i | 0.0681495 | − | 0.0829519i | ||||
\(871\) | −14.6841 | + | 10.6686i | −0.497552 | + | 0.361493i | ||||
\(872\) | 4.59262 | − | 28.9967i | 0.155526 | − | 0.981951i | ||||
\(873\) | −3.61568 | − | 7.60805i | −0.122372 | − | 0.257493i | ||||
\(874\) | 12.7954i | 0.432810i | ||||||||
\(875\) | −44.5057 | − | 13.4740i | −1.50457 | − | 0.455505i | ||||
\(876\) | −6.09828 | + | 17.9234i | −0.206042 | + | 0.605576i | ||||
\(877\) | −16.9737 | + | 33.3127i | −0.573160 | + | 1.12489i | 0.404469 | + | 0.914552i | \(0.367456\pi\) |
−0.977629 | + | 0.210338i | \(0.932544\pi\) | |||||||
\(878\) | 10.6256 | + | 1.68293i | 0.358597 | + | 0.0567962i | ||||
\(879\) | −2.56661 | − | 8.28646i | −0.0865694 | − | 0.279495i | ||||
\(880\) | −1.01066 | − | 0.380175i | −0.0340693 | − | 0.0128157i | ||||
\(881\) | −15.0882 | + | 20.7672i | −0.508335 | + | 0.699663i | −0.983637 | − | 0.180159i | \(-0.942339\pi\) |
0.475302 | + | 0.879823i | \(0.342339\pi\) | |||||||
\(882\) | −24.4404 | + | 3.18256i | −0.822952 | + | 0.107162i | ||||
\(883\) | −20.1197 | + | 3.18664i | −0.677080 | + | 0.107239i | −0.485498 | − | 0.874238i | \(-0.661362\pi\) |
−0.191582 | + | 0.981477i | \(0.561362\pi\) | |||||||
\(884\) | −1.91201 | + | 5.88457i | −0.0643080 | + | 0.197920i | ||||
\(885\) | 17.8359 | + | 40.8345i | 0.599549 | + | 1.37264i | ||||
\(886\) | −7.03864 | − | 21.6627i | −0.236468 | − | 0.727773i | ||||
\(887\) | −15.0637 | − | 29.5641i | −0.505788 | − | 0.992665i | −0.992858 | − | 0.119302i | \(-0.961934\pi\) |
0.487070 | − | 0.873363i | \(-0.338066\pi\) | |||||||
\(888\) | −0.415792 | − | 2.88199i | −0.0139531 | − | 0.0967132i | ||||
\(889\) | 2.07506 | − | 0.674228i | 0.0695953 | − | 0.0226129i | ||||
\(890\) | −11.8123 | − | 6.71430i | −0.395950 | − | 0.225064i | ||||
\(891\) | −0.408651 | + | 7.39796i | −0.0136903 | + | 0.247841i | ||||
\(892\) | −2.19787 | − | 13.8768i | −0.0735902 | − | 0.464631i | ||||
\(893\) | 4.57216 | + | 4.57216i | 0.153002 | + | 0.153002i | ||||
\(894\) | −14.8144 | − | 20.9933i | −0.495467 | − | 0.702120i | ||||
\(895\) | −9.95141 | − | 36.1642i | −0.332639 | − | 1.20884i | ||||
\(896\) | −21.7378 | − | 29.9195i | −0.726208 | − | 0.999540i | ||||
\(897\) | −12.3465 | − | 6.50691i | −0.412236 | − | 0.217259i | ||||
\(898\) | −8.34464 | − | 4.25181i | −0.278464 | − | 0.141885i | ||||
\(899\) | −4.45300 | −0.148516 | ||||||||
\(900\) | −17.8564 | + | 9.97555i | −0.595214 | + | 0.332518i | ||||
\(901\) | 28.4856 | 0.948992 | ||||||||
\(902\) | 5.85956 | + | 2.98559i | 0.195102 | + | 0.0994094i | ||||
\(903\) | −50.1730 | − | 26.4425i | −1.66965 | − | 0.879951i | ||||
\(904\) | −0.368851 | − | 0.507679i | −0.0122678 | − | 0.0168852i | ||||
\(905\) | −21.4509 | + | 14.1364i | −0.713052 | + | 0.469911i | ||||
\(906\) | 12.5053 | + | 17.7210i | 0.415459 | + | 0.588742i | ||||
\(907\) | −1.54989 | − | 1.54989i | −0.0514634 | − | 0.0514634i | 0.680907 | − | 0.732370i | \(-0.261586\pi\) |
−0.732370 | + | 0.680907i | \(0.761586\pi\) | |||||||
\(908\) | −2.17248 | − | 13.7165i | −0.0720962 | − | 0.455198i | ||||
\(909\) | −2.93635 | + | 2.01200i | −0.0973925 | + | 0.0667339i | ||||
\(910\) | 6.31272 | + | 13.9257i | 0.209265 | + | 0.461633i | ||||
\(911\) | −46.1905 | + | 15.0082i | −1.53036 | + | 0.497244i | −0.948697 | − | 0.316185i | \(-0.897598\pi\) |
−0.581663 | + | 0.813430i | \(0.697598\pi\) | |||||||
\(912\) | 0.595145 | + | 4.12514i | 0.0197072 | + | 0.136597i | ||||
\(913\) | −2.85372 | − | 5.60073i | −0.0944442 | − | 0.185357i | ||||
\(914\) | 3.44274 | + | 10.5957i | 0.113876 | + | 0.350473i | ||||
\(915\) | 8.12671 | + | 4.76886i | 0.268661 | + | 0.157654i | ||||
\(916\) | −1.30446 | + | 4.01471i | −0.0431006 | + | 0.132650i | ||||
\(917\) | 44.8196 | − | 7.09872i | 1.48007 | − | 0.234421i | ||||
\(918\) | 1.79953 | − | 8.94784i | 0.0593935 | − | 0.295323i | ||||
\(919\) | −21.1678 | + | 29.1349i | −0.698260 | + | 0.961073i | 0.301710 | + | 0.953400i | \(0.402443\pi\) |
−0.999971 | + | 0.00767336i | \(0.997557\pi\) | |||||||
\(920\) | −14.6405 | + | 18.3303i | −0.482683 | + | 0.604332i | ||||
\(921\) | −11.4872 | − | 37.0872i | −0.378516 | − | 1.22207i | ||||
\(922\) | −8.57224 | − | 1.35771i | −0.282312 | − | 0.0447138i | ||||
\(923\) | 8.06671 | − | 15.8318i | 0.265519 | − | 0.521111i | ||||
\(924\) | −2.60484 | + | 7.65586i | −0.0856930 | + | 0.251859i | ||||
\(925\) | −3.03649 | − | 0.769990i | −0.0998392 | − | 0.0253171i | ||||
\(926\) | 10.3389i | 0.339758i | ||||||||
\(927\) | 22.0954 | − | 10.5007i | 0.725710 | − | 0.344889i | ||||
\(928\) | 0.935438 | − | 5.90612i | 0.0307073 | − | 0.193878i | ||||
\(929\) | −15.1347 | + | 10.9960i | −0.496555 | + | 0.360768i | −0.807699 | − | 0.589594i | \(-0.799288\pi\) |
0.311145 | + | 0.950363i | \(0.399288\pi\) | |||||||
\(930\) | −12.4983 | − | 4.89928i | −0.409836 | − | 0.160654i | ||||
\(931\) | 34.1785 | + | 24.8322i | 1.12016 | + | 0.813841i | ||||
\(932\) | 25.7668 | − | 25.7668i | 0.844018 | − | 0.844018i | ||||
\(933\) | −54.6527 | − | 9.43075i | −1.78925 | − | 0.308749i | ||||
\(934\) | −24.5597 | − | 7.97993i | −0.803618 | − | 0.261111i | ||||
\(935\) | −0.450781 | − | 4.02803i | −0.0147421 | − | 0.131731i | ||||
\(936\) | 15.6302 | + | 5.55978i | 0.510890 | + | 0.181727i | ||||
\(937\) | −46.2169 | + | 23.5487i | −1.50984 | + | 0.769303i | −0.996065 | − | 0.0886213i | \(-0.971754\pi\) |
−0.513776 | + | 0.857924i | \(0.671754\pi\) | |||||||
\(938\) | 26.0374 | − | 13.2667i | 0.850151 | − | 0.433173i | ||||
\(939\) | −0.142132 | + | 10.3021i | −0.00463830 | + | 0.336196i | ||||
\(940\) | 0.534507 | + | 4.77617i | 0.0174337 | + | 0.155782i | ||||
\(941\) | 26.8711 | + | 8.73096i | 0.875974 | + | 0.284621i | 0.712284 | − | 0.701891i | \(-0.247661\pi\) |
0.163689 | + | 0.986512i | \(0.447661\pi\) | |||||||
\(942\) | −0.677395 | + | 3.92561i | −0.0220707 | + | 0.127903i | ||||
\(943\) | −27.6843 | + | 27.6843i | −0.901523 | + | 0.901523i | ||||
\(944\) | 5.45987 | + | 3.96683i | 0.177704 | + | 0.129109i | ||||
\(945\) | 24.8994 | + | 41.4163i | 0.809977 | + | 1.34727i | ||||
\(946\) | 4.18297 | − | 3.03911i | 0.136000 | − | 0.0988099i | ||||
\(947\) | 8.46949 | − | 53.4743i | 0.275222 | − | 1.73768i | −0.332117 | − | 0.943238i | \(-0.607763\pi\) |
0.607339 | − | 0.794443i | \(-0.292237\pi\) | |||||||
\(948\) | −6.68057 | + | 6.49875i | −0.216975 | + | 0.211069i | ||||
\(949\) | − | 16.5198i | − | 0.536255i | ||||||
\(950\) | −15.8609 | − | 4.02200i | −0.514596 | − | 0.130491i | ||||
\(951\) | 5.26305 | + | 1.79071i | 0.170666 | + | 0.0580676i | ||||
\(952\) | 11.1558 | − | 21.8945i | 0.361561 | − | 0.709603i | ||||
\(953\) | 3.04301 | + | 0.481965i | 0.0985727 | + | 0.0156124i | 0.205526 | − | 0.978652i | \(-0.434110\pi\) |
−0.106953 | + | 0.994264i | \(0.534110\pi\) | |||||||
\(954\) | 0.854178 | − | 30.9506i | 0.0276550 | − | 1.00206i | ||||
\(955\) | 10.9516 | − | 13.7117i | 0.354387 | − | 0.443702i | ||||
\(956\) | 14.4679 | − | 19.9134i | 0.467926 | − | 0.644044i | ||||
\(957\) | −1.31114 | + | 0.645431i | −0.0423830 | + | 0.0208638i | ||||
\(958\) | 13.2040 | − | 2.09131i | 0.426602 | − | 0.0675671i | ||||
\(959\) | −0.320399 | + | 0.986088i | −0.0103462 | + | 0.0318424i | ||||
\(960\) | 6.82399 | − | 11.6289i | 0.220243 | − | 0.375321i | ||||
\(961\) | −3.74591 | − | 11.5287i | −0.120836 | − | 0.371894i | ||||
\(962\) | 0.467619 | + | 0.917754i | 0.0150766 | + | 0.0295896i | ||||
\(963\) | 1.47473 | + | 0.275478i | 0.0475224 | + | 0.00887715i | ||||
\(964\) | 29.8445 | − | 9.69707i | 0.961227 | − | 0.312322i | ||||
\(965\) | −0.155049 | − | 0.342035i | −0.00499122 | − | 0.0110105i | ||||
\(966\) | 17.9943 | + | 13.4567i | 0.578956 | + | 0.432963i | ||||
\(967\) | 2.14318 | + | 13.5315i | 0.0689200 | + | 0.435144i | 0.997887 | + | 0.0649802i | \(0.0206984\pi\) |
−0.928967 | + | 0.370164i | \(0.879302\pi\) | |||||||
\(968\) | 19.5853 | + | 19.5853i | 0.629496 | + | 0.629496i | ||||
\(969\) | −12.7824 | + | 9.02018i | −0.410629 | + | 0.289770i | ||||
\(970\) | 4.18219 | − | 2.75612i | 0.134282 | − | 0.0884938i | ||||
\(971\) | −5.34499 | − | 7.35675i | −0.171529 | − | 0.236089i | 0.714594 | − | 0.699539i | \(-0.246611\pi\) |
−0.886123 | + | 0.463450i | \(0.846611\pi\) | |||||||
\(972\) | 20.7155 | + | 4.76433i | 0.664451 | + | 0.152816i | ||||
\(973\) | 22.3355 | + | 11.3805i | 0.716043 | + | 0.364842i | ||||
\(974\) | −18.5754 | −0.595194 | ||||||||
\(975\) | 11.9467 | − | 13.2591i | 0.382602 | − | 0.424632i | ||||
\(976\) | 1.42709 | 0.0456801 | ||||||||
\(977\) | 4.98644 | + | 2.54072i | 0.159530 | + | 0.0812847i | 0.531933 | − | 0.846787i | \(-0.321466\pi\) |
−0.372403 | + | 0.928071i | \(0.621466\pi\) | |||||||
\(978\) | −14.5634 | + | 27.6332i | −0.465687 | + | 0.883612i | ||||
\(979\) | 3.68577 | + | 5.07303i | 0.117798 | + | 0.162135i | ||||
\(980\) | 8.33102 | + | 30.2756i | 0.266125 | + | 0.967118i | ||||
\(981\) | 9.27782 | + | 31.4845i | 0.296218 | + | 1.00522i | ||||
\(982\) | −3.60001 | − | 3.60001i | −0.114881 | − | 0.114881i | ||||
\(983\) | 7.22834 | + | 45.6379i | 0.230548 | + | 1.45562i | 0.782970 | + | 0.622059i | \(0.213704\pi\) |
−0.552422 | + | 0.833565i | \(0.686296\pi\) | |||||||
\(984\) | 27.8718 | − | 37.2699i | 0.888519 | − | 1.18812i | ||||
\(985\) | 13.5800 | + | 7.71908i | 0.432695 | + | 0.245950i | ||||
\(986\) | 1.71209 | − | 0.556292i | 0.0545241 | − | 0.0177159i | ||||
\(987\) | 11.2384 | − | 1.62139i | 0.357721 | − | 0.0516094i | ||||
\(988\) | −5.23360 | − | 10.2715i | −0.166503 | − | 0.326780i | ||||
\(989\) | 9.51204 | + | 29.2750i | 0.302465 | + | 0.930892i | ||||
\(990\) | −4.39011 | + | 0.369003i | −0.139527 | + | 0.0117277i | ||||
\(991\) | −3.31944 | + | 10.2162i | −0.105445 | + | 0.324528i | −0.989835 | − | 0.142222i | \(-0.954575\pi\) |
0.884389 | + | 0.466750i | \(0.154575\pi\) | |||||||
\(992\) | −25.0384 | + | 3.96569i | −0.794969 | + | 0.125911i | ||||
\(993\) | −23.0712 | − | 46.8672i | −0.732143 | − | 1.48728i | ||||
\(994\) | −16.8149 | + | 23.1438i | −0.533337 | + | 0.734075i | ||||
\(995\) | 15.3780 | + | 5.78465i | 0.487515 | + | 0.183386i | ||||
\(996\) | −17.2261 | + | 5.33552i | −0.545830 | + | 0.169062i | ||||
\(997\) | 0.227612 | + | 0.0360502i | 0.00720855 | + | 0.00114172i | 0.160038 | − | 0.987111i | \(-0.448838\pi\) |
−0.152829 | + | 0.988253i | \(0.548838\pi\) | |||||||
\(998\) | 2.72504 | − | 5.34820i | 0.0862597 | − | 0.169294i | ||||
\(999\) | 1.80292 | + | 2.71066i | 0.0570418 | + | 0.0857616i |
(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 | 75.2.l.a.17.6 | yes | 64 | |
3.2 | odd | 2 | inner | 75.2.l.a.17.3 | ✓ | 64 | |
5.2 | odd | 4 | 375.2.l.b.143.3 | 64 | |||
5.3 | odd | 4 | 375.2.l.a.143.6 | 64 | |||
5.4 | even | 2 | 375.2.l.c.107.3 | 64 | |||
15.2 | even | 4 | 375.2.l.b.143.6 | 64 | |||
15.8 | even | 4 | 375.2.l.a.143.3 | 64 | |||
15.14 | odd | 2 | 375.2.l.c.107.6 | 64 | |||
25.3 | odd | 20 | inner | 75.2.l.a.53.3 | yes | 64 | |
25.4 | even | 10 | 375.2.l.b.257.6 | 64 | |||
25.21 | even | 5 | 375.2.l.a.257.3 | 64 | |||
25.22 | odd | 20 | 375.2.l.c.368.6 | 64 | |||
75.29 | odd | 10 | 375.2.l.b.257.3 | 64 | |||
75.47 | even | 20 | 375.2.l.c.368.3 | 64 | |||
75.53 | even | 20 | inner | 75.2.l.a.53.6 | yes | 64 | |
75.71 | odd | 10 | 375.2.l.a.257.6 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
75.2.l.a.17.3 | ✓ | 64 | 3.2 | odd | 2 | inner | |
75.2.l.a.17.6 | yes | 64 | 1.1 | even | 1 | trivial | |
75.2.l.a.53.3 | yes | 64 | 25.3 | odd | 20 | inner | |
75.2.l.a.53.6 | yes | 64 | 75.53 | even | 20 | inner | |
375.2.l.a.143.3 | 64 | 15.8 | even | 4 | |||
375.2.l.a.143.6 | 64 | 5.3 | odd | 4 | |||
375.2.l.a.257.3 | 64 | 25.21 | even | 5 | |||
375.2.l.a.257.6 | 64 | 75.71 | odd | 10 | |||
375.2.l.b.143.3 | 64 | 5.2 | odd | 4 | |||
375.2.l.b.143.6 | 64 | 15.2 | even | 4 | |||
375.2.l.b.257.3 | 64 | 75.29 | odd | 10 | |||
375.2.l.b.257.6 | 64 | 25.4 | even | 10 | |||
375.2.l.c.107.3 | 64 | 5.4 | even | 2 | |||
375.2.l.c.107.6 | 64 | 15.14 | odd | 2 | |||
375.2.l.c.368.3 | 64 | 75.47 | even | 20 | |||
375.2.l.c.368.6 | 64 | 25.22 | odd | 20 |