Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(11,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 0, 23]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.br (of order \(30\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 11.17 | ||
Character | \(\chi\) | \(=\) | 930.11 |
Dual form | 930.2.br.b.761.17 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{23}{30}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.951057 | − | 0.309017i | 0.672499 | − | 0.218508i | ||||
\(3\) | −0.358377 | + | 1.69457i | −0.206909 | + | 0.978360i | ||||
\(4\) | 0.809017 | − | 0.587785i | 0.404508 | − | 0.293893i | ||||
\(5\) | 0.866025 | − | 0.500000i | 0.387298 | − | 0.223607i | ||||
\(6\) | 0.182814 | + | 1.72238i | 0.0746333 | + | 0.703157i | ||||
\(7\) | −0.113415 | − | 1.07907i | −0.0428669 | − | 0.407851i | −0.994823 | − | 0.101618i | \(-0.967598\pi\) |
0.951957 | − | 0.306233i | \(-0.0990687\pi\) | |||||||
\(8\) | 0.587785 | − | 0.809017i | 0.207813 | − | 0.286031i | ||||
\(9\) | −2.74313 | − | 1.21459i | −0.914377 | − | 0.404864i | ||||
\(10\) | 0.669131 | − | 0.743145i | 0.211598 | − | 0.235003i | ||||
\(11\) | 2.56206 | + | 1.14070i | 0.772491 | + | 0.343935i | 0.754840 | − | 0.655909i | \(-0.227715\pi\) |
0.0176510 | + | 0.999844i | \(0.494381\pi\) | |||||||
\(12\) | 0.706110 | + | 1.58158i | 0.203836 | + | 0.456564i | ||||
\(13\) | 1.02862 | + | 4.83927i | 0.285287 | + | 1.34217i | 0.854274 | + | 0.519824i | \(0.174002\pi\) |
−0.568986 | + | 0.822347i | \(0.692664\pi\) | |||||||
\(14\) | −0.441316 | − | 0.991212i | −0.117947 | − | 0.264913i | ||||
\(15\) | 0.536921 | + | 1.64673i | 0.138632 | + | 0.425184i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | 1.58997 | − | 0.707901i | 0.385625 | − | 0.171691i | −0.204762 | − | 0.978812i | \(-0.565642\pi\) |
0.590387 | + | 0.807121i | \(0.298975\pi\) | |||||||
\(18\) | −2.98420 | − | 0.307470i | −0.703383 | − | 0.0724714i | ||||
\(19\) | 1.90535 | + | 0.404995i | 0.437117 | + | 0.0929122i | 0.421214 | − | 0.906961i | \(-0.361604\pi\) |
0.0159036 | + | 0.999874i | \(0.494938\pi\) | |||||||
\(20\) | 0.406737 | − | 0.913545i | 0.0909491 | − | 0.204275i | ||||
\(21\) | 1.86921 | + | 0.194526i | 0.407895 | + | 0.0424490i | ||||
\(22\) | 2.78916 | + | 0.293153i | 0.594652 | + | 0.0625004i | ||||
\(23\) | 4.13404 | + | 3.00356i | 0.862007 | + | 0.626285i | 0.928430 | − | 0.371507i | \(-0.121159\pi\) |
−0.0664232 | + | 0.997792i | \(0.521159\pi\) | |||||||
\(24\) | 1.16029 | + | 1.28598i | 0.236842 | + | 0.262499i | ||||
\(25\) | 0.500000 | − | 0.866025i | 0.100000 | − | 0.173205i | ||||
\(26\) | 2.47369 | + | 4.28455i | 0.485130 | + | 0.840270i | ||||
\(27\) | 3.04128 | − | 4.21314i | 0.585296 | − | 0.810820i | ||||
\(28\) | −0.726018 | − | 0.806325i | −0.137205 | − | 0.152381i | ||||
\(29\) | 0.677305 | + | 2.08453i | 0.125772 | + | 0.387087i | 0.994041 | − | 0.109007i | \(-0.0347670\pi\) |
−0.868269 | + | 0.496094i | \(0.834767\pi\) | |||||||
\(30\) | 1.01951 | + | 1.40021i | 0.186136 | + | 0.255643i | ||||
\(31\) | 0.859116 | − | 5.50108i | 0.154302 | − | 0.988024i | ||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | −2.85119 | + | 3.93279i | −0.496328 | + | 0.684611i | ||||
\(34\) | 1.29340 | − | 1.16458i | 0.221816 | − | 0.199724i | ||||
\(35\) | −0.637757 | − | 0.877797i | −0.107801 | − | 0.148375i | ||||
\(36\) | −2.93316 | + | 0.629748i | −0.488860 | + | 0.104958i | ||||
\(37\) | 2.45281 | + | 1.41613i | 0.403240 | + | 0.232811i | 0.687881 | − | 0.725824i | \(-0.258541\pi\) |
−0.284641 | + | 0.958634i | \(0.591874\pi\) | |||||||
\(38\) | 1.93725 | − | 0.203613i | 0.314263 | − | 0.0330304i | ||||
\(39\) | −8.56910 | + | 0.00878069i | −1.37215 | + | 0.00140604i | ||||
\(40\) | 0.104528 | − | 0.994522i | 0.0165274 | − | 0.157248i | ||||
\(41\) | 0.267518 | + | 0.240874i | 0.0417792 | + | 0.0376182i | 0.689756 | − | 0.724042i | \(-0.257718\pi\) |
−0.647977 | + | 0.761660i | \(0.724385\pi\) | |||||||
\(42\) | 1.83784 | − | 0.392613i | 0.283584 | − | 0.0605815i | ||||
\(43\) | −0.350040 | + | 1.64681i | −0.0533806 | + | 0.251136i | −0.996745 | − | 0.0806234i | \(-0.974309\pi\) |
0.943364 | + | 0.331759i | \(0.107642\pi\) | |||||||
\(44\) | 2.74324 | − | 0.583094i | 0.413559 | − | 0.0879047i | ||||
\(45\) | −2.98292 | + | 0.319699i | −0.444667 | + | 0.0476579i | ||||
\(46\) | 4.85986 | + | 1.57906i | 0.716547 | + | 0.232820i | ||||
\(47\) | −4.18402 | − | 1.35947i | −0.610302 | − | 0.198299i | −0.0124720 | − | 0.999922i | \(-0.503970\pi\) |
−0.597830 | + | 0.801623i | \(0.703970\pi\) | |||||||
\(48\) | 1.50089 | + | 0.864488i | 0.216634 | + | 0.124778i | ||||
\(49\) | 5.69550 | − | 1.21062i | 0.813642 | − | 0.172945i | ||||
\(50\) | 0.207912 | − | 0.978148i | 0.0294032 | − | 0.138331i | ||||
\(51\) | 0.629778 | + | 2.94801i | 0.0881865 | + | 0.412805i | ||||
\(52\) | 3.67662 | + | 3.31044i | 0.509855 | + | 0.459076i | ||||
\(53\) | −0.556631 | + | 5.29599i | −0.0764592 | + | 0.727461i | 0.887391 | + | 0.461017i | \(0.152515\pi\) |
−0.963850 | + | 0.266444i | \(0.914151\pi\) | |||||||
\(54\) | 1.59050 | − | 4.94675i | 0.216440 | − | 0.673167i | ||||
\(55\) | 2.78916 | − | 0.293153i | 0.376091 | − | 0.0395287i | ||||
\(56\) | −0.939652 | − | 0.542509i | −0.125566 | − | 0.0724958i | ||||
\(57\) | −1.36913 | + | 3.08361i | −0.181345 | + | 0.408434i | ||||
\(58\) | 1.28831 | + | 1.77321i | 0.169163 | + | 0.232833i | ||||
\(59\) | −8.37326 | + | 7.53932i | −1.09011 | + | 0.981536i | −0.999897 | − | 0.0143869i | \(-0.995420\pi\) |
−0.0902095 | + | 0.995923i | \(0.528754\pi\) | |||||||
\(60\) | 1.40230 | + | 1.01664i | 0.181036 | + | 0.131247i | ||||
\(61\) | 2.17337i | 0.278271i | 0.990273 | + | 0.139136i | \(0.0444324\pi\) | ||||
−0.990273 | + | 0.139136i | \(0.955568\pi\) | |||||||
\(62\) | −0.882860 | − | 5.49732i | −0.112123 | − | 0.698161i | ||||
\(63\) | −0.999520 | + | 3.09779i | −0.125928 | + | 0.390285i | ||||
\(64\) | −0.309017 | − | 0.951057i | −0.0386271 | − | 0.118882i | ||||
\(65\) | 3.31044 | + | 3.67662i | 0.410610 | + | 0.456028i | ||||
\(66\) | −1.49634 | + | 4.62137i | −0.184187 | + | 0.568851i | ||||
\(67\) | 0.967850 | + | 1.67637i | 0.118242 | + | 0.204801i | 0.919071 | − | 0.394092i | \(-0.128941\pi\) |
−0.800829 | + | 0.598893i | \(0.795608\pi\) | |||||||
\(68\) | 0.870221 | − | 1.50727i | 0.105530 | − | 0.182783i | ||||
\(69\) | −6.57128 | + | 5.92901i | −0.791089 | + | 0.713769i | ||||
\(70\) | −0.877797 | − | 0.637757i | −0.104917 | − | 0.0762265i | ||||
\(71\) | −9.83673 | − | 1.03388i | −1.16741 | − | 0.122699i | −0.499072 | − | 0.866561i | \(-0.666326\pi\) |
−0.668334 | + | 0.743862i | \(0.732992\pi\) | |||||||
\(72\) | −2.59500 | + | 1.50532i | −0.305823 | + | 0.177404i | ||||
\(73\) | 5.48528 | − | 12.3201i | 0.642004 | − | 1.44196i | −0.240024 | − | 0.970767i | \(-0.577155\pi\) |
0.882028 | − | 0.471197i | \(-0.156178\pi\) | |||||||
\(74\) | 2.77037 | + | 0.588861i | 0.322049 | + | 0.0684537i | ||||
\(75\) | 1.28835 | + | 1.15765i | 0.148766 | + | 0.133674i | ||||
\(76\) | 1.77951 | − | 0.792289i | 0.204124 | − | 0.0908818i | ||||
\(77\) | 0.940326 | − | 2.89403i | 0.107160 | − | 0.329805i | ||||
\(78\) | −8.14699 | + | 2.65635i | −0.922465 | + | 0.300772i | ||||
\(79\) | −6.34492 | − | 14.2509i | −0.713859 | − | 1.60335i | −0.794970 | − | 0.606649i | \(-0.792513\pi\) |
0.0811108 | − | 0.996705i | \(-0.474153\pi\) | |||||||
\(80\) | −0.207912 | − | 0.978148i | −0.0232452 | − | 0.109360i | ||||
\(81\) | 6.04954 | + | 6.66356i | 0.672171 | + | 0.740396i | ||||
\(82\) | 0.328859 | + | 0.146417i | 0.0363164 | + | 0.0161691i | ||||
\(83\) | −8.96001 | + | 9.95110i | −0.983489 | + | 1.09228i | 0.0122372 | + | 0.999925i | \(0.496105\pi\) |
−0.995727 | + | 0.0923505i | \(0.970562\pi\) | |||||||
\(84\) | 1.62656 | − | 0.941320i | 0.177472 | − | 0.102706i | ||||
\(85\) | 1.02301 | − | 1.40805i | 0.110961 | − | 0.152724i | ||||
\(86\) | 0.175984 | + | 1.67438i | 0.0189768 | + | 0.180553i | ||||
\(87\) | −3.77511 | + | 0.400692i | −0.404734 | + | 0.0429586i | ||||
\(88\) | 2.42879 | − | 1.40226i | 0.258910 | − | 0.149482i | ||||
\(89\) | −5.49395 | + | 3.99159i | −0.582358 | + | 0.423108i | −0.839573 | − | 0.543246i | \(-0.817195\pi\) |
0.257216 | + | 0.966354i | \(0.417195\pi\) | |||||||
\(90\) | −2.73813 | + | 1.22582i | −0.288624 | + | 0.129213i | ||||
\(91\) | 5.10526 | − | 1.65880i | 0.535177 | − | 0.173889i | ||||
\(92\) | 5.10996 | 0.532750 | ||||||||
\(93\) | 9.01408 | + | 3.42730i | 0.934717 | + | 0.355394i | ||||
\(94\) | −4.39934 | −0.453757 | ||||||||
\(95\) | 1.85258 | − | 0.601940i | 0.190071 | − | 0.0617577i | ||||
\(96\) | 1.69457 | + | 0.358377i | 0.172951 | + | 0.0365767i | ||||
\(97\) | −5.71138 | + | 4.14956i | −0.579903 | + | 0.421324i | −0.838689 | − | 0.544611i | \(-0.816677\pi\) |
0.258786 | + | 0.965935i | \(0.416677\pi\) | |||||||
\(98\) | 5.04264 | − | 2.91137i | 0.509383 | − | 0.294093i | ||||
\(99\) | −5.64259 | − | 6.24096i | −0.567101 | − | 0.627240i | ||||
\(100\) | −0.104528 | − | 0.994522i | −0.0104528 | − | 0.0994522i | ||||
\(101\) | 2.22301 | − | 3.05971i | 0.221198 | − | 0.304452i | −0.683968 | − | 0.729512i | \(-0.739747\pi\) |
0.905165 | + | 0.425060i | \(0.139747\pi\) | |||||||
\(102\) | 1.50994 | + | 2.60912i | 0.149506 | + | 0.258341i | ||||
\(103\) | 8.12338 | − | 9.02192i | 0.800420 | − | 0.888957i | −0.195360 | − | 0.980732i | \(-0.562587\pi\) |
0.995780 | + | 0.0917750i | \(0.0292541\pi\) | |||||||
\(104\) | 4.51965 | + | 2.01228i | 0.443189 | + | 0.197320i | ||||
\(105\) | 1.71605 | − | 0.766141i | 0.167469 | − | 0.0747677i | ||||
\(106\) | 1.10716 | + | 5.20880i | 0.107537 | + | 0.505923i | ||||
\(107\) | −0.518603 | − | 1.16480i | −0.0501353 | − | 0.112606i | 0.886741 | − | 0.462266i | \(-0.152964\pi\) |
−0.936876 | + | 0.349661i | \(0.886297\pi\) | |||||||
\(108\) | −0.0159733 | − | 5.19613i | −0.00153703 | − | 0.499998i | ||||
\(109\) | 3.02851 | − | 9.32081i | 0.290079 | − | 0.892771i | −0.694751 | − | 0.719250i | \(-0.744486\pi\) |
0.984830 | − | 0.173521i | \(-0.0555145\pi\) | |||||||
\(110\) | 2.56206 | − | 1.14070i | 0.244283 | − | 0.108762i | ||||
\(111\) | −3.27877 | + | 3.64895i | −0.311207 | + | 0.346343i | ||||
\(112\) | −1.06131 | − | 0.225588i | −0.100284 | − | 0.0213160i | ||||
\(113\) | 5.22443 | − | 11.7343i | 0.491473 | − | 1.10387i | −0.482230 | − | 0.876044i | \(-0.660173\pi\) |
0.973703 | − | 0.227821i | \(-0.0731601\pi\) | |||||||
\(114\) | −0.349229 | + | 3.35577i | −0.0327083 | + | 0.314297i | ||||
\(115\) | 5.08196 | + | 0.534136i | 0.473895 | + | 0.0498084i | ||||
\(116\) | 1.77321 | + | 1.28831i | 0.164638 | + | 0.119617i | ||||
\(117\) | 3.05609 | − | 14.5241i | 0.282536 | − | 1.34275i | ||||
\(118\) | −5.63367 | + | 9.75780i | −0.518621 | + | 0.898278i | ||||
\(119\) | −0.944204 | − | 1.63541i | −0.0865551 | − | 0.149918i | ||||
\(120\) | 1.64783 | + | 0.533545i | 0.150425 | + | 0.0487058i | ||||
\(121\) | −2.09748 | − | 2.32948i | −0.190680 | − | 0.211771i | ||||
\(122\) | 0.671608 | + | 2.06700i | 0.0608045 | + | 0.187137i | ||||
\(123\) | −0.504050 | + | 0.367004i | −0.0454487 | + | 0.0330916i | ||||
\(124\) | −2.53842 | − | 4.95545i | −0.227956 | − | 0.445012i | ||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | 0.00667084 | + | 3.25504i | 0.000594286 | + | 0.289982i | ||||
\(127\) | 2.48363 | − | 2.23627i | 0.220387 | − | 0.198437i | −0.551540 | − | 0.834148i | \(-0.685960\pi\) |
0.771927 | + | 0.635711i | \(0.219293\pi\) | |||||||
\(128\) | −0.587785 | − | 0.809017i | −0.0519534 | − | 0.0715077i | ||||
\(129\) | −2.66519 | − | 1.18335i | −0.234656 | − | 0.104188i | ||||
\(130\) | 4.28455 | + | 2.47369i | 0.375780 | + | 0.216957i | ||||
\(131\) | −8.72067 | + | 0.916579i | −0.761928 | + | 0.0800819i | −0.477519 | − | 0.878621i | \(-0.658464\pi\) |
−0.284409 | + | 0.958703i | \(0.591797\pi\) | |||||||
\(132\) | 0.00497752 | + | 4.85758i | 0.000433238 | + | 0.422798i | ||||
\(133\) | 0.220923 | − | 2.10195i | 0.0191565 | − | 0.182262i | ||||
\(134\) | 1.43851 | + | 1.29524i | 0.124268 | + | 0.111891i | ||||
\(135\) | 0.527257 | − | 5.16933i | 0.0453791 | − | 0.444905i | ||||
\(136\) | 0.361858 | − | 1.70241i | 0.0310291 | − | 0.145980i | ||||
\(137\) | 6.54191 | − | 1.39053i | 0.558914 | − | 0.118801i | 0.0802110 | − | 0.996778i | \(-0.474441\pi\) |
0.478703 | + | 0.877977i | \(0.341107\pi\) | |||||||
\(138\) | −4.41749 | + | 7.66946i | −0.376042 | + | 0.652868i | ||||
\(139\) | −12.3210 | − | 4.00333i | −1.04505 | − | 0.339558i | −0.264327 | − | 0.964433i | \(-0.585150\pi\) |
−0.780725 | + | 0.624875i | \(0.785150\pi\) | |||||||
\(140\) | −1.03191 | − | 0.335289i | −0.0872125 | − | 0.0283371i | ||||
\(141\) | 3.80317 | − | 6.60290i | 0.320285 | − | 0.556065i | ||||
\(142\) | −9.67478 | + | 2.05644i | −0.811889 | + | 0.172572i | ||||
\(143\) | −2.88479 | + | 13.5718i | −0.241238 | + | 1.13494i | ||||
\(144\) | −2.00282 | + | 2.23354i | −0.166902 | + | 0.186129i | ||||
\(145\) | 1.62883 | + | 1.46660i | 0.135267 | + | 0.121795i | ||||
\(146\) | 1.40968 | − | 13.4122i | 0.116666 | − | 1.11000i | ||||
\(147\) | 0.0103343 | + | 10.0853i | 0.000852358 | + | 0.831819i | ||||
\(148\) | 2.81675 | − | 0.296052i | 0.231535 | − | 0.0243353i | ||||
\(149\) | −13.9398 | − | 8.04813i | −1.14199 | − | 0.659329i | −0.195068 | − | 0.980790i | \(-0.562493\pi\) |
−0.946923 | + | 0.321461i | \(0.895826\pi\) | |||||||
\(150\) | 1.58303 | + | 0.702867i | 0.129254 | + | 0.0573888i | ||||
\(151\) | −5.36846 | − | 7.38905i | −0.436879 | − | 0.601312i | 0.532636 | − | 0.846344i | \(-0.321201\pi\) |
−0.969515 | + | 0.245032i | \(0.921201\pi\) | |||||||
\(152\) | 1.44758 | − | 1.30341i | 0.117415 | − | 0.105721i | ||||
\(153\) | −5.22131 | + | 0.0107005i | −0.422118 | + | 0.000865083i | ||||
\(154\) | − | 3.04296i | − | 0.245209i | ||||||
\(155\) | −2.00653 | − | 5.19364i | −0.161168 | − | 0.417163i | ||||
\(156\) | −6.92739 | + | 5.04390i | −0.554635 | + | 0.403835i | ||||
\(157\) | 5.24115 | + | 16.1306i | 0.418289 | + | 1.28736i | 0.909276 | + | 0.416195i | \(0.136636\pi\) |
−0.490986 | + | 0.871167i | \(0.663364\pi\) | |||||||
\(158\) | −10.4382 | − | 11.5927i | −0.830415 | − | 0.922269i | ||||
\(159\) | −8.77495 | − | 2.84122i | −0.695898 | − | 0.225323i | ||||
\(160\) | −0.500000 | − | 0.866025i | −0.0395285 | − | 0.0684653i | ||||
\(161\) | 2.77219 | − | 4.80158i | 0.218480 | − | 0.378418i | ||||
\(162\) | 7.81261 | + | 4.46802i | 0.613816 | + | 0.351040i | ||||
\(163\) | −11.5080 | − | 8.36106i | −0.901377 | − | 0.654889i | 0.0374423 | − | 0.999299i | \(-0.488079\pi\) |
−0.938819 | + | 0.344410i | \(0.888079\pi\) | |||||||
\(164\) | 0.358009 | + | 0.0376282i | 0.0279558 | + | 0.00293827i | ||||
\(165\) | −0.502805 | + | 4.83149i | −0.0391433 | + | 0.376131i | ||||
\(166\) | −5.44642 | + | 12.2329i | −0.422724 | + | 0.949454i | ||||
\(167\) | −9.78410 | − | 2.07968i | −0.757117 | − | 0.160930i | −0.186849 | − | 0.982389i | \(-0.559827\pi\) |
−0.570268 | + | 0.821459i | \(0.693161\pi\) | |||||||
\(168\) | 1.25607 | − | 1.39788i | 0.0969078 | − | 0.107849i | ||||
\(169\) | −10.4843 | + | 4.66793i | −0.806488 | + | 0.359072i | ||||
\(170\) | 0.537826 | − | 1.65526i | 0.0412494 | − | 0.126952i | ||||
\(171\) | −4.73472 | − | 3.42518i | −0.362073 | − | 0.261930i | ||||
\(172\) | 0.684782 | + | 1.53804i | 0.0522141 | + | 0.117275i | ||||
\(173\) | 3.30095 | + | 15.5298i | 0.250967 | + | 1.18071i | 0.905391 | + | 0.424578i | \(0.139578\pi\) |
−0.654424 | + | 0.756127i | \(0.727089\pi\) | |||||||
\(174\) | −3.46652 | + | 1.54765i | −0.262796 | + | 0.117327i | ||||
\(175\) | −0.991212 | − | 0.441316i | −0.0749286 | − | 0.0333604i | ||||
\(176\) | 1.87659 | − | 2.08417i | 0.141454 | − | 0.157100i | ||||
\(177\) | −9.77511 | − | 16.8910i | −0.734743 | − | 1.26961i | ||||
\(178\) | −3.99159 | + | 5.49395i | −0.299182 | + | 0.411789i | ||||
\(179\) | −2.74109 | − | 26.0797i | −0.204878 | − | 1.94929i | −0.300283 | − | 0.953850i | \(-0.597081\pi\) |
0.0954047 | − | 0.995439i | \(-0.469585\pi\) | |||||||
\(180\) | −2.22532 | + | 2.01196i | −0.165865 | + | 0.149962i | ||||
\(181\) | 8.18523 | − | 4.72575i | 0.608404 | − | 0.351262i | −0.163937 | − | 0.986471i | \(-0.552419\pi\) |
0.772340 | + | 0.635209i | \(0.219086\pi\) | |||||||
\(182\) | 4.34279 | − | 3.15522i | 0.321909 | − | 0.233881i | ||||
\(183\) | −3.68292 | − | 0.778886i | −0.272249 | − | 0.0575769i | ||||
\(184\) | 4.85986 | − | 1.57906i | 0.358273 | − | 0.116410i | ||||
\(185\) | 2.83226 | 0.208232 | ||||||||
\(186\) | 9.63199 | + | 0.474049i | 0.706252 | + | 0.0347589i | ||||
\(187\) | 4.88111 | 0.356942 | ||||||||
\(188\) | −4.18402 | + | 1.35947i | −0.305151 | + | 0.0991495i | ||||
\(189\) | −4.89122 | − | 2.80393i | −0.355784 | − | 0.203956i | ||||
\(190\) | 1.57590 | − | 1.14496i | 0.114328 | − | 0.0830639i | ||||
\(191\) | 5.63445 | − | 3.25305i | 0.407694 | − | 0.235382i | −0.282104 | − | 0.959384i | \(-0.591032\pi\) |
0.689799 | + | 0.724001i | \(0.257699\pi\) | |||||||
\(192\) | 1.72238 | − | 0.182814i | 0.124302 | − | 0.0131934i | ||||
\(193\) | −1.15411 | − | 10.9807i | −0.0830749 | − | 0.790405i | −0.954165 | − | 0.299281i | \(-0.903253\pi\) |
0.871090 | − | 0.491123i | \(-0.163414\pi\) | |||||||
\(194\) | −4.14956 | + | 5.71138i | −0.297921 | + | 0.410053i | ||||
\(195\) | −7.41667 | + | 4.29216i | −0.531119 | + | 0.307368i | ||||
\(196\) | 3.89617 | − | 4.32714i | 0.278298 | − | 0.309081i | ||||
\(197\) | 19.6057 | + | 8.72900i | 1.39685 | + | 0.621916i | 0.960606 | − | 0.277915i | \(-0.0896432\pi\) |
0.436240 | + | 0.899830i | \(0.356310\pi\) | |||||||
\(198\) | −7.29498 | − | 4.19185i | −0.518432 | − | 0.297902i | ||||
\(199\) | −0.723398 | − | 3.40332i | −0.0512803 | − | 0.241255i | 0.945041 | − | 0.326952i | \(-0.106022\pi\) |
−0.996321 | + | 0.0856971i | \(0.972688\pi\) | |||||||
\(200\) | −0.406737 | − | 0.913545i | −0.0287606 | − | 0.0645974i | ||||
\(201\) | −3.18757 | + | 1.03932i | −0.224834 | + | 0.0733078i | ||||
\(202\) | 1.16870 | − | 3.59690i | 0.0822297 | − | 0.253077i | ||||
\(203\) | 2.17254 | − | 0.967279i | 0.152483 | − | 0.0678896i | ||||
\(204\) | 2.24230 | + | 2.01482i | 0.156992 | + | 0.141066i | ||||
\(205\) | 0.352114 | + | 0.0748442i | 0.0245927 | + | 0.00522734i | ||||
\(206\) | 4.93786 | − | 11.0906i | 0.344037 | − | 0.772720i | ||||
\(207\) | −7.69212 | − | 13.2603i | −0.534640 | − | 0.921656i | ||||
\(208\) | 4.92028 | + | 0.517142i | 0.341160 | + | 0.0358573i | ||||
\(209\) | 4.41965 | + | 3.21106i | 0.305713 | + | 0.222114i | ||||
\(210\) | 1.39531 | − | 1.25893i | 0.0962853 | − | 0.0868745i | ||||
\(211\) | −5.90668 | + | 10.2307i | −0.406633 | + | 0.704308i | −0.994510 | − | 0.104642i | \(-0.966630\pi\) |
0.587877 | + | 0.808950i | \(0.299964\pi\) | |||||||
\(212\) | 2.66258 | + | 4.61173i | 0.182867 | + | 0.316735i | ||||
\(213\) | 5.27725 | − | 16.2985i | 0.361591 | − | 1.11676i | ||||
\(214\) | −0.853164 | − | 0.947535i | −0.0583211 | − | 0.0647722i | ||||
\(215\) | 0.520261 | + | 1.60120i | 0.0354815 | + | 0.109201i | ||||
\(216\) | −1.62088 | − | 4.93688i | −0.110287 | − | 0.335912i | ||||
\(217\) | −6.03351 | − | 0.303143i | −0.409581 | − | 0.0205787i | ||||
\(218\) | − | 9.80048i | − | 0.663772i | ||||||
\(219\) | 18.9115 | + | 13.7105i | 1.27792 | + | 0.926467i | ||||
\(220\) | 2.08417 | − | 1.87659i | 0.140515 | − | 0.126520i | ||||
\(221\) | 5.06119 | + | 6.96614i | 0.340453 | + | 0.468593i | ||||
\(222\) | −1.99070 | + | 4.48355i | −0.133607 | + | 0.300916i | ||||
\(223\) | −19.6581 | − | 11.3496i | −1.31640 | − | 0.760025i | −0.333254 | − | 0.942837i | \(-0.608147\pi\) |
−0.983148 | + | 0.182812i | \(0.941480\pi\) | |||||||
\(224\) | −1.07907 | + | 0.113415i | −0.0720986 | + | 0.00757787i | ||||
\(225\) | −2.42343 | + | 1.76833i | −0.161562 | + | 0.117888i | ||||
\(226\) | 1.34264 | − | 12.7744i | 0.0893111 | − | 0.849739i | ||||
\(227\) | 11.1638 | + | 10.0519i | 0.740969 | + | 0.667171i | 0.950533 | − | 0.310624i | \(-0.100538\pi\) |
−0.209564 | + | 0.977795i | \(0.567205\pi\) | |||||||
\(228\) | 0.704853 | + | 3.29944i | 0.0466800 | + | 0.218511i | ||||
\(229\) | −4.47148 | + | 21.0367i | −0.295484 | + | 1.39014i | 0.540480 | + | 0.841357i | \(0.318243\pi\) |
−0.835964 | + | 0.548785i | \(0.815091\pi\) | |||||||
\(230\) | 4.99829 | − | 1.06242i | 0.329578 | − | 0.0700539i | ||||
\(231\) | 4.56714 | + | 2.63060i | 0.300496 | + | 0.173081i | ||||
\(232\) | 2.08453 | + | 0.677305i | 0.136856 | + | 0.0444672i | ||||
\(233\) | −15.7270 | − | 5.11001i | −1.03031 | − | 0.334768i | −0.255397 | − | 0.966836i | \(-0.582206\pi\) |
−0.774913 | + | 0.632068i | \(0.782206\pi\) | |||||||
\(234\) | −1.58167 | − | 14.7576i | −0.103397 | − | 0.964736i | ||||
\(235\) | −4.30320 | + | 0.914673i | −0.280710 | + | 0.0596667i | ||||
\(236\) | −2.34261 | + | 11.0211i | −0.152491 | + | 0.717414i | ||||
\(237\) | 26.4231 | − | 5.64470i | 1.71636 | − | 0.366663i | ||||
\(238\) | −1.40336 | − | 1.26359i | −0.0909664 | − | 0.0819065i | ||||
\(239\) | 0.171834 | − | 1.63489i | 0.0111150 | − | 0.105752i | −0.987558 | − | 0.157257i | \(-0.949735\pi\) |
0.998673 | + | 0.0515046i | \(0.0164017\pi\) | |||||||
\(240\) | 1.73205 | − | 0.00177482i | 0.111803 | − | 0.000114564i | ||||
\(241\) | 5.82709 | − | 0.612452i | 0.375356 | − | 0.0394515i | 0.0850275 | − | 0.996379i | \(-0.472902\pi\) |
0.290328 | + | 0.956927i | \(0.406236\pi\) | |||||||
\(242\) | −2.71467 | − | 1.56732i | −0.174506 | − | 0.100751i | ||||
\(243\) | −13.4599 | + | 7.86329i | −0.863452 | + | 0.504430i | ||||
\(244\) | 1.27747 | + | 1.75829i | 0.0817819 | + | 0.112563i | ||||
\(245\) | 4.32714 | − | 3.89617i | 0.276451 | − | 0.248917i | ||||
\(246\) | −0.365970 | + | 0.504801i | −0.0233334 | + | 0.0321849i | ||||
\(247\) | 9.63708i | 0.613193i | ||||||||
\(248\) | −3.94549 | − | 3.92850i | −0.250539 | − | 0.249460i | ||||
\(249\) | −13.6518 | − | 18.7496i | −0.865146 | − | 1.18821i | ||||
\(250\) | −0.309017 | − | 0.951057i | −0.0195440 | − | 0.0601501i | ||||
\(251\) | −4.26731 | − | 4.73932i | −0.269350 | − | 0.299143i | 0.593262 | − | 0.805009i | \(-0.297840\pi\) |
−0.862612 | + | 0.505866i | \(0.831173\pi\) | |||||||
\(252\) | 1.01221 | + | 3.09367i | 0.0637631 | + | 0.194883i | ||||
\(253\) | 7.16550 | + | 12.4110i | 0.450491 | + | 0.780274i | ||||
\(254\) | 1.67103 | − | 2.89430i | 0.104850 | − | 0.181605i | ||||
\(255\) | 2.01941 | + | 2.23817i | 0.126460 | + | 0.140159i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | 21.3550 | + | 2.24450i | 1.33209 | + | 0.140008i | 0.743670 | − | 0.668547i | \(-0.233083\pi\) |
0.588420 | + | 0.808555i | \(0.299750\pi\) | |||||||
\(258\) | −2.90042 | − | 0.301841i | −0.180572 | − | 0.0187918i | ||||
\(259\) | 1.24992 | − | 2.80737i | 0.0776665 | − | 0.174442i | ||||
\(260\) | 4.83927 | + | 1.02862i | 0.300119 | + | 0.0637922i | ||||
\(261\) | 0.673915 | − | 6.54079i | 0.0417143 | − | 0.404864i | ||||
\(262\) | −8.01061 | + | 3.56655i | −0.494897 | + | 0.220342i | ||||
\(263\) | −6.72329 | + | 20.6922i | −0.414576 | + | 1.27593i | 0.498053 | + | 0.867146i | \(0.334048\pi\) |
−0.912630 | + | 0.408788i | \(0.865952\pi\) | |||||||
\(264\) | 1.50581 | + | 4.61829i | 0.0926761 | + | 0.284236i | ||||
\(265\) | 2.16594 | + | 4.86478i | 0.133053 | + | 0.298841i | ||||
\(266\) | −0.439426 | − | 2.06734i | −0.0269430 | − | 0.126757i | ||||
\(267\) | −4.79512 | − | 10.7404i | −0.293456 | − | 0.657301i | ||||
\(268\) | 1.76835 | + | 0.787320i | 0.108019 | + | 0.0480932i | ||||
\(269\) | −15.0429 | + | 16.7068i | −0.917181 | + | 1.01863i | 0.0825761 | + | 0.996585i | \(0.473685\pi\) |
−0.999757 | + | 0.0220477i | \(0.992981\pi\) | |||||||
\(270\) | −1.09596 | − | 5.07926i | −0.0666980 | − | 0.309114i | ||||
\(271\) | −15.5909 | + | 21.4591i | −0.947082 | + | 1.30355i | 0.00572905 | + | 0.999984i | \(0.498176\pi\) |
−0.952811 | + | 0.303563i | \(0.901824\pi\) | |||||||
\(272\) | −0.181926 | − | 1.73091i | −0.0110309 | − | 0.104952i | ||||
\(273\) | 0.981342 | + | 9.24570i | 0.0593935 | + | 0.559575i | ||||
\(274\) | 5.79203 | − | 3.34403i | 0.349910 | − | 0.202020i | ||||
\(275\) | 2.26891 | − | 1.64846i | 0.136820 | − | 0.0994058i | ||||
\(276\) | −1.83129 | + | 8.65917i | −0.110231 | + | 0.521221i | ||||
\(277\) | 16.9181 | − | 5.49703i | 1.01651 | − | 0.330285i | 0.247067 | − | 0.968998i | \(-0.420533\pi\) |
0.769445 | + | 0.638713i | \(0.220533\pi\) | |||||||
\(278\) | −12.9551 | −0.776992 | ||||||||
\(279\) | −9.03823 | + | 14.0467i | −0.541105 | + | 0.840955i | ||||
\(280\) | −1.08502 | −0.0648422 | ||||||||
\(281\) | 0.545324 | − | 0.177186i | 0.0325313 | − | 0.0105701i | −0.292706 | − | 0.956202i | \(-0.594556\pi\) |
0.325237 | + | 0.945632i | \(0.394556\pi\) | |||||||
\(282\) | 1.57662 | − | 7.45498i | 0.0938865 | − | 0.443938i | ||||
\(283\) | 22.5931 | − | 16.4149i | 1.34302 | − | 0.975762i | 0.343695 | − | 0.939081i | \(-0.388321\pi\) |
0.999327 | − | 0.0366809i | \(-0.0116785\pi\) | |||||||
\(284\) | −8.56578 | + | 4.94546i | −0.508286 | + | 0.293459i | ||||
\(285\) | 0.356106 | + | 3.35505i | 0.0210939 | + | 0.198736i | ||||
\(286\) | 1.45034 | + | 13.7990i | 0.0857603 | + | 0.815955i | ||||
\(287\) | 0.229580 | − | 0.315990i | 0.0135517 | − | 0.0186523i | ||||
\(288\) | −1.21459 | + | 2.74313i | −0.0715704 | + | 0.161641i | ||||
\(289\) | −9.34833 | + | 10.3824i | −0.549902 | + | 0.610728i | ||||
\(290\) | 2.00231 | + | 0.891487i | 0.117580 | + | 0.0523499i | ||||
\(291\) | −4.98489 | − | 11.1654i | −0.292219 | − | 0.654530i | ||||
\(292\) | −2.80391 | − | 13.1914i | −0.164087 | − | 0.771967i | ||||
\(293\) | −6.04617 | − | 13.5799i | −0.353221 | − | 0.793347i | −0.999541 | − | 0.0302813i | \(-0.990360\pi\) |
0.646320 | − | 0.763066i | \(-0.276307\pi\) | |||||||
\(294\) | 3.12635 | + | 9.58847i | 0.182332 | + | 0.559211i | ||||
\(295\) | −3.48180 | + | 10.7159i | −0.202718 | + | 0.623902i | ||||
\(296\) | 2.58740 | − | 1.15199i | 0.150390 | − | 0.0669578i | ||||
\(297\) | 12.5979 | − | 7.32514i | 0.731005 | − | 0.425047i | ||||
\(298\) | −15.7445 | − | 3.34660i | −0.912056 | − | 0.193863i | ||||
\(299\) | −10.2827 | + | 23.0952i | −0.594662 | + | 1.33563i | ||||
\(300\) | 1.72275 | + | 0.179283i | 0.0994628 | + | 0.0103509i | ||||
\(301\) | 1.81673 | + | 0.190946i | 0.104714 | + | 0.0110059i | ||||
\(302\) | −7.38905 | − | 5.36846i | −0.425192 | − | 0.308920i | ||||
\(303\) | 4.38821 | + | 4.86357i | 0.252096 | + | 0.279405i | ||||
\(304\) | 0.973959 | − | 1.68695i | 0.0558604 | − | 0.0967530i | ||||
\(305\) | 1.08668 | + | 1.88219i | 0.0622233 | + | 0.107774i | ||||
\(306\) | −4.96246 | + | 1.62365i | −0.283685 | + | 0.0928179i | ||||
\(307\) | 5.33919 | + | 5.92977i | 0.304723 | + | 0.338430i | 0.875985 | − | 0.482338i | \(-0.160212\pi\) |
−0.571262 | + | 0.820768i | \(0.693546\pi\) | |||||||
\(308\) | −0.940326 | − | 2.89403i | −0.0535801 | − | 0.164902i | ||||
\(309\) | 12.3770 | + | 16.9989i | 0.704105 | + | 0.967033i | ||||
\(310\) | −3.51324 | − | 4.31939i | −0.199539 | − | 0.245325i | ||||
\(311\) | 1.63084i | 0.0924767i | 0.998930 | + | 0.0462384i | \(0.0147234\pi\) | ||||
−0.998930 | + | 0.0462384i | \(0.985277\pi\) | |||||||
\(312\) | −5.02969 | + | 6.93771i | −0.284750 | + | 0.392771i | ||||
\(313\) | 8.87925 | − | 7.99491i | 0.501885 | − | 0.451899i | −0.378885 | − | 0.925444i | \(-0.623692\pi\) |
0.880770 | + | 0.473545i | \(0.157026\pi\) | |||||||
\(314\) | 9.96926 | + | 13.7215i | 0.562598 | + | 0.774349i | ||||
\(315\) | 0.683287 | + | 3.18253i | 0.0384989 | + | 0.179315i | ||||
\(316\) | −13.5096 | − | 7.79979i | −0.759976 | − | 0.438772i | ||||
\(317\) | −15.7851 | + | 1.65908i | −0.886580 | + | 0.0931833i | −0.536860 | − | 0.843671i | \(-0.680390\pi\) |
−0.349719 | + | 0.936854i | \(0.613723\pi\) | |||||||
\(318\) | −9.22345 | + | 0.00945119i | −0.517226 | + | 0.000529997i | ||||
\(319\) | −0.642534 | + | 6.11330i | −0.0359750 | + | 0.342279i | ||||
\(320\) | −0.743145 | − | 0.669131i | −0.0415431 | − | 0.0374055i | ||||
\(321\) | 2.15969 | − | 0.461370i | 0.120542 | − | 0.0257512i | ||||
\(322\) | 1.15274 | − | 5.42323i | 0.0642399 | − | 0.302225i | ||||
\(323\) | 3.31615 | − | 0.704870i | 0.184516 | − | 0.0392200i | ||||
\(324\) | 8.81092 | + | 1.83511i | 0.489496 | + | 0.101950i | ||||
\(325\) | 4.70524 | + | 1.52882i | 0.261000 | + | 0.0848039i | ||||
\(326\) | −13.5285 | − | 4.39567i | −0.749273 | − | 0.243454i | ||||
\(327\) | 14.7094 | + | 8.47239i | 0.813432 | + | 0.468524i | ||||
\(328\) | 0.352114 | − | 0.0748442i | 0.0194423 | − | 0.00413258i | ||||
\(329\) | −0.992436 | + | 4.66905i | −0.0547148 | + | 0.257413i | ||||
\(330\) | 1.01482 | + | 4.75040i | 0.0558638 | + | 0.261501i | ||||
\(331\) | −4.94172 | − | 4.44955i | −0.271622 | − | 0.244569i | 0.522051 | − | 0.852914i | \(-0.325167\pi\) |
−0.793673 | + | 0.608345i | \(0.791834\pi\) | |||||||
\(332\) | −1.39969 | + | 13.3172i | −0.0768181 | + | 0.730875i | ||||
\(333\) | −5.00837 | − | 6.86380i | −0.274457 | − | 0.376134i | ||||
\(334\) | −9.94789 | + | 1.04557i | −0.544324 | + | 0.0572108i | ||||
\(335\) | 1.67637 | + | 0.967850i | 0.0915896 | + | 0.0528793i | ||||
\(336\) | 0.762622 | − | 1.71761i | 0.0416045 | − | 0.0937035i | ||||
\(337\) | 3.31825 | + | 4.56717i | 0.180756 | + | 0.248790i | 0.889774 | − | 0.456400i | \(-0.150862\pi\) |
−0.709018 | + | 0.705190i | \(0.750862\pi\) | |||||||
\(338\) | −8.52874 | + | 7.67931i | −0.463902 | + | 0.417699i | ||||
\(339\) | 18.0122 | + | 13.0584i | 0.978288 | + | 0.709237i | ||||
\(340\) | − | 1.74044i | − | 0.0943887i | ||||||
\(341\) | 8.47622 | − | 13.1141i | 0.459013 | − | 0.710170i | ||||
\(342\) | −5.56143 | − | 1.79443i | −0.300728 | − | 0.0970314i | ||||
\(343\) | −4.29932 | − | 13.2319i | −0.232141 | − | 0.714458i | ||||
\(344\) | 1.12655 | + | 1.25116i | 0.0607394 | + | 0.0674579i | ||||
\(345\) | −2.72639 | + | 8.42032i | −0.146784 | + | 0.453335i | ||||
\(346\) | 7.93835 | + | 13.7496i | 0.426768 | + | 0.739185i | ||||
\(347\) | 1.02223 | − | 1.77056i | 0.0548764 | − | 0.0950487i | −0.837282 | − | 0.546771i | \(-0.815857\pi\) |
0.892159 | + | 0.451722i | \(0.149190\pi\) | |||||||
\(348\) | −2.81861 | + | 2.54312i | −0.151093 | + | 0.136326i | ||||
\(349\) | −0.0904382 | − | 0.0657072i | −0.00484104 | − | 0.00351722i | 0.585362 | − | 0.810772i | \(-0.300952\pi\) |
−0.590203 | + | 0.807255i | \(0.700952\pi\) | |||||||
\(350\) | −1.07907 | − | 0.113415i | −0.0576789 | − | 0.00606230i | ||||
\(351\) | 23.5168 | + | 10.3839i | 1.25524 | + | 0.554250i | ||||
\(352\) | 1.14070 | − | 2.56206i | 0.0607997 | − | 0.136558i | ||||
\(353\) | −22.5622 | − | 4.79575i | −1.20087 | − | 0.255252i | −0.436302 | − | 0.899800i | \(-0.643712\pi\) |
−0.764564 | + | 0.644548i | \(0.777046\pi\) | |||||||
\(354\) | −14.5163 | − | 13.0436i | −0.771532 | − | 0.693260i | ||||
\(355\) | −9.03580 | + | 4.02300i | −0.479571 | + | 0.213519i | ||||
\(356\) | −2.09850 | + | 6.45853i | −0.111220 | + | 0.342301i | ||||
\(357\) | 3.10970 | − | 1.01393i | 0.164583 | − | 0.0536626i | ||||
\(358\) | −10.6660 | − | 23.9562i | −0.563716 | − | 1.26613i | ||||
\(359\) | 3.33381 | + | 15.6843i | 0.175952 | + | 0.827787i | 0.974240 | + | 0.225512i | \(0.0724055\pi\) |
−0.798289 | + | 0.602275i | \(0.794261\pi\) | |||||||
\(360\) | −1.49467 | + | 2.60114i | −0.0787762 | + | 0.137092i | ||||
\(361\) | −13.8910 | − | 6.18468i | −0.731106 | − | 0.325510i | ||||
\(362\) | 6.32428 | − | 7.02383i | 0.332397 | − | 0.369164i | ||||
\(363\) | 4.69916 | − | 2.71949i | 0.246642 | − | 0.142736i | ||||
\(364\) | 3.15522 | − | 4.34279i | 0.165379 | − | 0.227624i | ||||
\(365\) | −1.40968 | − | 13.4122i | −0.0737860 | − | 0.702027i | ||||
\(366\) | −3.74336 | + | 0.397321i | −0.195668 | + | 0.0207683i | ||||
\(367\) | 7.58642 | − | 4.38002i | 0.396008 | − | 0.228635i | −0.288752 | − | 0.957404i | \(-0.593240\pi\) |
0.684760 | + | 0.728769i | \(0.259907\pi\) | |||||||
\(368\) | 4.13404 | − | 3.00356i | 0.215502 | − | 0.156571i | ||||
\(369\) | −0.441273 | − | 0.985674i | −0.0229717 | − | 0.0513121i | ||||
\(370\) | 2.69364 | − | 0.875218i | 0.140036 | − | 0.0455004i | ||||
\(371\) | 5.77790 | 0.299973 | ||||||||
\(372\) | 9.30706 | − | 2.52560i | 0.482548 | − | 0.130946i | ||||
\(373\) | 14.7122 | 0.761766 | 0.380883 | − | 0.924623i | \(-0.375620\pi\) | ||||
0.380883 | + | 0.924623i | \(0.375620\pi\) | |||||||
\(374\) | 4.64221 | − | 1.50835i | 0.240043 | − | 0.0779948i | ||||
\(375\) | 1.69457 | + | 0.358377i | 0.0875072 | + | 0.0185065i | ||||
\(376\) | −3.55914 | + | 2.58586i | −0.183549 | + | 0.133356i | ||||
\(377\) | −9.39090 | + | 5.42184i | −0.483656 | + | 0.279239i | ||||
\(378\) | −5.51829 | − | 1.15523i | −0.283830 | − | 0.0594186i | ||||
\(379\) | 0.414328 | + | 3.94207i | 0.0212826 | + | 0.202490i | 0.999996 | − | 0.00274017i | \(-0.000872223\pi\) |
−0.978714 | + | 0.205231i | \(0.934206\pi\) | |||||||
\(380\) | 1.14496 | − | 1.57590i | 0.0587351 | − | 0.0808419i | ||||
\(381\) | 2.89944 | + | 5.01011i | 0.148543 | + | 0.256676i | ||||
\(382\) | 4.35343 | − | 4.83498i | 0.222741 | − | 0.247379i | ||||
\(383\) | 24.8097 | + | 11.0460i | 1.26771 | + | 0.564423i | 0.926759 | − | 0.375657i | \(-0.122583\pi\) |
0.340955 | + | 0.940080i | \(0.389250\pi\) | |||||||
\(384\) | 1.58158 | − | 0.706110i | 0.0807099 | − | 0.0360335i | ||||
\(385\) | −0.632667 | − | 2.97646i | −0.0322437 | − | 0.151695i | ||||
\(386\) | −4.49083 | − | 10.0866i | −0.228577 | − | 0.513393i | ||||
\(387\) | 2.96040 | − | 4.09226i | 0.150486 | − | 0.208021i | ||||
\(388\) | −2.18155 | + | 6.71413i | −0.110752 | + | 0.340858i | ||||
\(389\) | 8.00756 | − | 3.56520i | 0.405999 | − | 0.180763i | −0.193568 | − | 0.981087i | \(-0.562006\pi\) |
0.599567 | + | 0.800324i | \(0.295339\pi\) | |||||||
\(390\) | −5.72733 | + | 6.37396i | −0.290014 | + | 0.322758i | ||||
\(391\) | 8.69923 | + | 1.84908i | 0.439939 | + | 0.0935119i | ||||
\(392\) | 2.36832 | − | 5.31934i | 0.119618 | − | 0.268667i | ||||
\(393\) | 1.57208 | − | 15.1063i | 0.0793011 | − | 0.762010i | ||||
\(394\) | 21.3435 | + | 2.24329i | 1.07527 | + | 0.113015i | ||||
\(395\) | −12.6203 | − | 9.16920i | −0.634997 | − | 0.461353i | ||||
\(396\) | −8.23329 | − | 1.73241i | −0.413738 | − | 0.0870570i | ||||
\(397\) | −14.7542 | + | 25.5550i | −0.740490 | + | 1.28257i | 0.211782 | + | 0.977317i | \(0.432073\pi\) |
−0.952272 | + | 0.305250i | \(0.901260\pi\) | |||||||
\(398\) | −1.73968 | − | 3.01321i | −0.0872021 | − | 0.151038i | ||||
\(399\) | 3.48272 | + | 1.12766i | 0.174354 | + | 0.0564536i | ||||
\(400\) | −0.669131 | − | 0.743145i | −0.0334565 | − | 0.0371572i | ||||
\(401\) | −0.313174 | − | 0.963850i | −0.0156392 | − | 0.0481324i | 0.942932 | − | 0.332984i | \(-0.108056\pi\) |
−0.958572 | + | 0.284852i | \(0.908056\pi\) | |||||||
\(402\) | −2.71040 | + | 1.97346i | −0.135182 | + | 0.0984275i | ||||
\(403\) | 27.5049 | − | 1.50102i | 1.37012 | − | 0.0747711i | ||||
\(404\) | − | 3.78201i | − | 0.188162i | ||||||
\(405\) | 8.57084 | + | 2.74605i | 0.425888 | + | 0.136452i | ||||
\(406\) | 1.76731 | − | 1.59129i | 0.0877099 | − | 0.0789744i | ||||
\(407\) | 4.66887 | + | 6.42615i | 0.231427 | + | 0.318532i | ||||
\(408\) | 2.75517 | + | 1.22330i | 0.136401 | + | 0.0605623i | ||||
\(409\) | 4.27001 | + | 2.46529i | 0.211139 | + | 0.121901i | 0.601840 | − | 0.798616i | \(-0.294434\pi\) |
−0.390702 | + | 0.920517i | \(0.627768\pi\) | |||||||
\(410\) | 0.358009 | − | 0.0376282i | 0.0176808 | − | 0.00185833i | ||||
\(411\) | 0.0118701 | + | 11.5841i | 0.000585508 | + | 0.571400i | ||||
\(412\) | 1.26900 | − | 12.0737i | 0.0625190 | − | 0.594828i | ||||
\(413\) | 9.08513 | + | 8.18029i | 0.447050 | + | 0.402526i | ||||
\(414\) | −11.4133 | − | 10.2343i | −0.560934 | − | 0.502989i | ||||
\(415\) | −2.78405 | + | 13.0979i | −0.136664 | + | 0.642951i | ||||
\(416\) | 4.83927 | − | 1.02862i | 0.237265 | − | 0.0504321i | ||||
\(417\) | 11.1995 | − | 19.4441i | 0.548441 | − | 0.952180i | ||||
\(418\) | 5.19561 | + | 1.68816i | 0.254126 | + | 0.0825704i | ||||
\(419\) | −23.6581 | − | 7.68698i | −1.15577 | − | 0.375533i | −0.332458 | − | 0.943118i | \(-0.607878\pi\) |
−0.823315 | + | 0.567585i | \(0.807878\pi\) | |||||||
\(420\) | 0.937984 | − | 1.62849i | 0.0457689 | − | 0.0794621i | ||||
\(421\) | 14.4470 | − | 3.07081i | 0.704104 | − | 0.149662i | 0.158074 | − | 0.987427i | \(-0.449472\pi\) |
0.546030 | + | 0.837765i | \(0.316138\pi\) | |||||||
\(422\) | −2.45614 | + | 11.5552i | −0.119563 | + | 0.562499i | ||||
\(423\) | 9.82611 | + | 8.81107i | 0.477762 | + | 0.428409i | ||||
\(424\) | 3.95737 | + | 3.56323i | 0.192187 | + | 0.173046i | ||||
\(425\) | 0.181926 | − | 1.73091i | 0.00882469 | − | 0.0839613i | ||||
\(426\) | −0.0175546 | − | 17.1316i | −0.000850521 | − | 0.830027i | ||||
\(427\) | 2.34522 | − | 0.246493i | 0.113493 | − | 0.0119286i | ||||
\(428\) | −1.10421 | − | 0.637517i | −0.0533741 | − | 0.0308156i | ||||
\(429\) | −21.9646 | − | 9.75231i | −1.06046 | − | 0.470846i | ||||
\(430\) | 0.989595 | + | 1.36206i | 0.0477225 | + | 0.0656844i | ||||
\(431\) | 13.4771 | − | 12.1349i | 0.649171 | − | 0.584517i | −0.277345 | − | 0.960770i | \(-0.589455\pi\) |
0.926517 | + | 0.376254i | \(0.122788\pi\) | |||||||
\(432\) | −3.06713 | − | 4.19437i | −0.147567 | − | 0.201802i | ||||
\(433\) | − | 8.16389i | − | 0.392331i | −0.980571 | − | 0.196166i | \(-0.937151\pi\) | ||
0.980571 | − | 0.196166i | \(-0.0628490\pi\) | |||||||
\(434\) | −5.83188 | + | 1.57615i | −0.279939 | + | 0.0756576i | ||||
\(435\) | −3.06900 | + | 2.23456i | −0.147147 | + | 0.107139i | ||||
\(436\) | −3.02851 | − | 9.32081i | −0.145039 | − | 0.446386i | ||||
\(437\) | 6.66037 | + | 7.39709i | 0.318609 | + | 0.353851i | ||||
\(438\) | 22.2227 | + | 7.19543i | 1.06184 | + | 0.343811i | ||||
\(439\) | −2.29185 | − | 3.96959i | −0.109384 | − | 0.189458i | 0.806137 | − | 0.591729i | \(-0.201554\pi\) |
−0.915521 | + | 0.402271i | \(0.868221\pi\) | |||||||
\(440\) | 1.40226 | − | 2.42879i | 0.0668503 | − | 0.115788i | ||||
\(441\) | −17.0939 | − | 3.59682i | −0.813995 | − | 0.171277i | ||||
\(442\) | 6.96614 | + | 5.06119i | 0.331345 | + | 0.240736i | ||||
\(443\) | −4.47518 | − | 0.470360i | −0.212622 | − | 0.0223475i | −0.00238159 | − | 0.999997i | \(-0.500758\pi\) |
−0.210241 | + | 0.977650i | \(0.567425\pi\) | |||||||
\(444\) | −0.507778 | + | 4.87927i | −0.0240981 | + | 0.231560i | ||||
\(445\) | −2.76211 | + | 6.20379i | −0.130936 | + | 0.294088i | ||||
\(446\) | −22.2032 | − | 4.71943i | −1.05135 | − | 0.223471i | ||||
\(447\) | 18.6338 | − | 20.7376i | 0.881349 | − | 0.980857i | ||||
\(448\) | −0.991212 | + | 0.441316i | −0.0468304 | + | 0.0208502i | ||||
\(449\) | 0.686178 | − | 2.11184i | 0.0323827 | − | 0.0996638i | −0.933559 | − | 0.358424i | \(-0.883314\pi\) |
0.965941 | + | 0.258761i | \(0.0833141\pi\) | |||||||
\(450\) | −1.75838 | + | 2.43066i | −0.0828907 | + | 0.114582i | ||||
\(451\) | 0.410631 | + | 0.922293i | 0.0193359 | + | 0.0434291i | ||||
\(452\) | −2.67057 | − | 12.5640i | −0.125613 | − | 0.590963i | ||||
\(453\) | 14.4452 | − | 6.44916i | 0.678694 | − | 0.303008i | ||||
\(454\) | 13.7236 | + | 6.11016i | 0.644083 | + | 0.286764i | ||||
\(455\) | 3.59189 | − | 3.98919i | 0.168390 | − | 0.187016i | ||||
\(456\) | 1.68994 | + | 2.92015i | 0.0791386 | + | 0.136748i | ||||
\(457\) | −9.91273 | + | 13.6437i | −0.463698 | + | 0.638225i | −0.975270 | − | 0.221015i | \(-0.929063\pi\) |
0.511573 | + | 0.859240i | \(0.329063\pi\) | |||||||
\(458\) | 2.24805 | + | 21.3888i | 0.105045 | + | 0.999434i | ||||
\(459\) | 1.85307 | − | 8.85171i | 0.0864938 | − | 0.413162i | ||||
\(460\) | 4.42535 | − | 2.55498i | 0.206333 | − | 0.119126i | ||||
\(461\) | 6.56002 | − | 4.76613i | 0.305531 | − | 0.221981i | −0.424446 | − | 0.905453i | \(-0.639531\pi\) |
0.729976 | + | 0.683472i | \(0.239531\pi\) | |||||||
\(462\) | 5.15651 | + | 1.09053i | 0.239902 | + | 0.0507359i | ||||
\(463\) | 35.9129 | − | 11.6688i | 1.66902 | − | 0.542296i | 0.686284 | − | 0.727334i | \(-0.259241\pi\) |
0.982731 | + | 0.185038i | \(0.0592407\pi\) | |||||||
\(464\) | 2.19180 | 0.101752 | ||||||||
\(465\) | 9.52007 | − | 1.53891i | 0.441483 | − | 0.0713654i | ||||
\(466\) | −16.5364 | −0.766032 | ||||||||
\(467\) | −15.8957 | + | 5.16483i | −0.735566 | + | 0.239000i | −0.652759 | − | 0.757566i | \(-0.726388\pi\) |
−0.0828070 | + | 0.996566i | \(0.526388\pi\) | |||||||
\(468\) | −6.06461 | − | 13.5466i | −0.280337 | − | 0.626190i | ||||
\(469\) | 1.69915 | − | 1.23451i | 0.0784596 | − | 0.0570042i | ||||
\(470\) | −3.80994 | + | 2.19967i | −0.175739 | + | 0.101463i | ||||
\(471\) | −29.2127 | + | 3.10065i | −1.34605 | + | 0.142870i | ||||
\(472\) | 1.17776 | + | 11.2056i | 0.0542107 | + | 0.515780i | ||||
\(473\) | −2.77535 | + | 3.81993i | −0.127611 | + | 0.175641i | ||||
\(474\) | 23.3855 | − | 13.5336i | 1.07413 | − | 0.621619i | ||||
\(475\) | 1.30341 | − | 1.44758i | 0.0598046 | − | 0.0664197i | ||||
\(476\) | −1.72515 | − | 0.768085i | −0.0790720 | − | 0.0352051i | ||||
\(477\) | 7.95938 | − | 13.8515i | 0.364435 | − | 0.634218i | ||||
\(478\) | −0.341784 | − | 1.60797i | −0.0156329 | − | 0.0735468i | ||||
\(479\) | 7.56381 | + | 16.9886i | 0.345599 | + | 0.776229i | 0.999802 | + | 0.0199093i | \(0.00633774\pi\) |
−0.654203 | + | 0.756319i | \(0.726996\pi\) | |||||||
\(480\) | 1.64673 | − | 0.536921i | 0.0751625 | − | 0.0245070i | ||||
\(481\) | −4.33003 | + | 13.3265i | −0.197432 | + | 0.607635i | ||||
\(482\) | 5.35263 | − | 2.38315i | 0.243806 | − | 0.108549i | ||||
\(483\) | 7.14312 | + | 6.41845i | 0.325023 | + | 0.292050i | ||||
\(484\) | −3.06613 | − | 0.651726i | −0.139370 | − | 0.0296239i | ||||
\(485\) | −2.87142 | + | 6.44931i | −0.130384 | + | 0.292848i | ||||
\(486\) | −10.3712 | + | 11.6378i | −0.470448 | + | 0.527900i | ||||
\(487\) | 1.00228 | + | 0.105344i | 0.0454176 | + | 0.00477358i | 0.127210 | − | 0.991876i | \(-0.459398\pi\) |
−0.0817924 | + | 0.996649i | \(0.526064\pi\) | |||||||
\(488\) | 1.75829 | + | 1.27747i | 0.0795941 | + | 0.0578285i | ||||
\(489\) | 18.2926 | − | 16.5047i | 0.827220 | − | 0.746369i | ||||
\(490\) | 2.91137 | − | 5.04264i | 0.131522 | − | 0.227803i | ||||
\(491\) | −13.0997 | − | 22.6894i | −0.591182 | − | 1.02396i | −0.994074 | − | 0.108710i | \(-0.965328\pi\) |
0.402892 | − | 0.915248i | \(-0.368005\pi\) | |||||||
\(492\) | −0.192066 | + | 0.593185i | −0.00865899 | + | 0.0267429i | ||||
\(493\) | 2.55254 | + | 2.83488i | 0.114960 | + | 0.127677i | ||||
\(494\) | 2.97802 | + | 9.16541i | 0.133988 | + | 0.412371i | ||||
\(495\) | −8.00710 | − | 2.58353i | −0.359892 | − | 0.116121i | ||||
\(496\) | −4.96636 | − | 2.51700i | −0.222996 | − | 0.113016i | ||||
\(497\) | 10.7318i | 0.481388i | ||||||||
\(498\) | −18.7776 | − | 13.6133i | −0.841442 | − | 0.610027i | ||||
\(499\) | −2.63585 | + | 2.37333i | −0.117997 | + | 0.106245i | −0.726017 | − | 0.687677i | \(-0.758631\pi\) |
0.608020 | + | 0.793922i | \(0.291964\pi\) | |||||||
\(500\) | −0.587785 | − | 0.809017i | −0.0262866 | − | 0.0361803i | ||||
\(501\) | 7.03056 | − | 15.8345i | 0.314102 | − | 0.707435i | ||||
\(502\) | −5.52298 | − | 3.18869i | −0.246503 | − | 0.142318i | ||||
\(503\) | −3.78395 | + | 0.397709i | −0.168718 | + | 0.0177330i | −0.188511 | − | 0.982071i | \(-0.560366\pi\) |
0.0197927 | + | 0.999804i | \(0.493699\pi\) | |||||||
\(504\) | 1.91866 | + | 2.62947i | 0.0854641 | + | 0.117126i | ||||
\(505\) | 0.395327 | − | 3.76129i | 0.0175918 | − | 0.167375i | ||||
\(506\) | 10.6500 | + | 9.58931i | 0.473451 | + | 0.426297i | ||||
\(507\) | −4.15278 | − | 19.4393i | −0.184432 | − | 0.863331i | ||||
\(508\) | 0.694852 | − | 3.26902i | 0.0308291 | − | 0.145039i | ||||
\(509\) | −2.63097 | + | 0.559230i | −0.116616 | + | 0.0247874i | −0.265850 | − | 0.964014i | \(-0.585653\pi\) |
0.149234 | + | 0.988802i | \(0.452319\pi\) | |||||||
\(510\) | 2.61220 | + | 1.50459i | 0.115670 | + | 0.0666244i | ||||
\(511\) | −13.9165 | − | 4.52173i | −0.615628 | − | 0.200030i | ||||
\(512\) | −0.951057 | − | 0.309017i | −0.0420312 | − | 0.0136568i | ||||
\(513\) | 7.50102 | − | 6.79581i | 0.331178 | − | 0.300043i | ||||
\(514\) | 21.0034 | − | 4.46442i | 0.926422 | − | 0.196917i | ||||
\(515\) | 2.52409 | − | 11.8749i | 0.111225 | − | 0.523271i | ||||
\(516\) | −2.85173 | + | 0.609209i | −0.125541 | + | 0.0268190i | ||||
\(517\) | −9.16896 | − | 8.25577i | −0.403250 | − | 0.363088i | ||||
\(518\) | 0.321222 | − | 3.05622i | 0.0141137 | − | 0.134283i | ||||
\(519\) | −27.4992 | + | 0.0281782i | −1.20708 | + | 0.00123689i | ||||
\(520\) | 4.92028 | − | 0.517142i | 0.215768 | − | 0.0226782i | ||||
\(521\) | −6.74136 | − | 3.89213i | −0.295345 | − | 0.170517i | 0.345005 | − | 0.938601i | \(-0.387877\pi\) |
−0.640350 | + | 0.768084i | \(0.721211\pi\) | |||||||
\(522\) | −1.38028 | − | 6.42891i | −0.0604133 | − | 0.281386i | ||||
\(523\) | −18.3331 | − | 25.2333i | −0.801650 | − | 1.10338i | −0.992559 | − | 0.121768i | \(-0.961143\pi\) |
0.190909 | − | 0.981608i | \(-0.438857\pi\) | |||||||
\(524\) | −6.51642 | + | 5.86741i | −0.284671 | + | 0.256319i | ||||
\(525\) | 1.10307 | − | 1.52152i | 0.0481419 | − | 0.0664046i | ||||
\(526\) | 21.7570i | 0.948652i | ||||||||
\(527\) | −2.52825 | − | 9.35474i | −0.110132 | − | 0.407499i | ||||
\(528\) | 2.85924 | + | 3.92694i | 0.124432 | + | 0.170898i | ||||
\(529\) | 0.961551 | + | 2.95935i | 0.0418066 | + | 0.128667i | ||||
\(530\) | 3.56323 | + | 3.95737i | 0.154777 | + | 0.171897i | ||||
\(531\) | 32.1261 | − | 10.5113i | 1.39416 | − | 0.456150i | ||||
\(532\) | −1.05676 | − | 1.83037i | −0.0458164 | − | 0.0793564i | ||||
\(533\) | −0.890480 | + | 1.54236i | −0.0385710 | + | 0.0668069i | ||||
\(534\) | −7.87939 | − | 8.73293i | −0.340974 | − | 0.377911i | ||||
\(535\) | −1.03152 | − | 0.749446i | −0.0445967 | − | 0.0324014i | ||||
\(536\) | 1.92510 | + | 0.202336i | 0.0831515 | + | 0.00873958i | ||||
\(537\) | 45.1762 | + | 4.70141i | 1.94950 | + | 0.202881i | ||||
\(538\) | −9.14394 | + | 20.5376i | −0.394223 | + | 0.885440i | ||||
\(539\) | 15.9732 | + | 3.39520i | 0.688013 | + | 0.146242i | ||||
\(540\) | −2.61190 | − | 4.49199i | −0.112398 | − | 0.193305i | ||||
\(541\) | −0.457481 | + | 0.203684i | −0.0196686 | + | 0.00875704i | −0.416547 | − | 0.909114i | \(-0.636760\pi\) |
0.396879 | + | 0.917871i | \(0.370093\pi\) | |||||||
\(542\) | −8.19664 | + | 25.2267i | −0.352076 | + | 1.08358i | ||||
\(543\) | 5.07470 | + | 15.5640i | 0.217776 | + | 0.667917i | ||||
\(544\) | −0.707901 | − | 1.58997i | −0.0303510 | − | 0.0681695i | ||||
\(545\) | −2.03763 | − | 9.58631i | −0.0872826 | − | 0.410632i | ||||
\(546\) | 3.79039 | + | 8.48993i | 0.162214 | + | 0.363335i | ||||
\(547\) | −18.9537 | − | 8.43872i | −0.810400 | − | 0.360814i | −0.0406620 | − | 0.999173i | \(-0.512947\pi\) |
−0.769738 | + | 0.638359i | \(0.779613\pi\) | |||||||
\(548\) | 4.47519 | − | 4.97020i | 0.191171 | − | 0.212316i | ||||
\(549\) | 2.63975 | − | 5.96183i | 0.112662 | − | 0.254445i | ||||
\(550\) | 1.64846 | − | 2.26891i | 0.0702905 | − | 0.0967466i | ||||
\(551\) | 0.446279 | + | 4.24606i | 0.0190121 | + | 0.180888i | ||||
\(552\) | 0.934169 | + | 8.80126i | 0.0397609 | + | 0.374607i | ||||
\(553\) | −14.6582 | + | 8.46290i | −0.623329 | + | 0.359879i | ||||
\(554\) | 14.3914 | − | 10.4560i | 0.611433 | − | 0.444232i | ||||
\(555\) | −1.01502 | + | 4.79947i | −0.0430852 | + | 0.203726i | ||||
\(556\) | −12.3210 | + | 4.00333i | −0.522526 | + | 0.169779i | ||||
\(557\) | −4.13618 | −0.175256 | −0.0876278 | − | 0.996153i | \(-0.527929\pi\) | ||||
−0.0876278 | + | 0.996153i | \(0.527929\pi\) | |||||||
\(558\) | −4.25520 | + | 16.1522i | −0.180137 | + | 0.683777i | ||||
\(559\) | −8.32940 | −0.352296 | ||||||||
\(560\) | −1.03191 | + | 0.335289i | −0.0436063 | + | 0.0141685i | ||||
\(561\) | −1.74928 | + | 8.27139i | −0.0738547 | + | 0.349218i | ||||
\(562\) | 0.463880 | − | 0.337029i | 0.0195676 | − | 0.0142167i | ||||
\(563\) | 17.7173 | − | 10.2291i | 0.746695 | − | 0.431104i | −0.0778036 | − | 0.996969i | \(-0.524791\pi\) |
0.824498 | + | 0.565864i | \(0.191457\pi\) | |||||||
\(564\) | −0.804259 | − | 7.57731i | −0.0338654 | − | 0.319062i | ||||
\(565\) | −1.34264 | − | 12.7744i | −0.0564853 | − | 0.537422i | ||||
\(566\) | 16.4149 | − | 22.5931i | 0.689968 | − | 0.949660i | ||||
\(567\) | 6.50436 | − | 7.28364i | 0.273158 | − | 0.305884i | ||||
\(568\) | −6.61831 | + | 7.35038i | −0.277698 | + | 0.308415i | ||||
\(569\) | −1.72660 | − | 0.768730i | −0.0723827 | − | 0.0322268i | 0.370226 | − | 0.928942i | \(-0.379280\pi\) |
−0.442609 | + | 0.896715i | \(0.645947\pi\) | |||||||
\(570\) | 1.37544 | + | 3.08080i | 0.0576110 | + | 0.129040i | ||||
\(571\) | 7.23443 | + | 34.0353i | 0.302752 | + | 1.42433i | 0.821891 | + | 0.569645i | \(0.192919\pi\) |
−0.519139 | + | 0.854690i | \(0.673747\pi\) | |||||||
\(572\) | 5.64349 | + | 12.6755i | 0.235966 | + | 0.529989i | ||||
\(573\) | 3.49326 | + | 10.7138i | 0.145933 | + | 0.447575i | ||||
\(574\) | 0.120697 | − | 0.371468i | 0.00503781 | − | 0.0155048i | ||||
\(575\) | 4.66818 | − | 2.07841i | 0.194676 | − | 0.0866755i | ||||
\(576\) | −0.307470 | + | 2.98420i | −0.0128113 | + | 0.124342i | ||||
\(577\) | 35.3759 | + | 7.51938i | 1.47272 | + | 0.313036i | 0.873214 | − | 0.487336i | \(-0.162031\pi\) |
0.599503 | + | 0.800372i | \(0.295365\pi\) | |||||||
\(578\) | −5.68246 | + | 12.7630i | −0.236359 | + | 0.530872i | ||||
\(579\) | 19.0211 | + | 1.97949i | 0.790489 | + | 0.0822649i | ||||
\(580\) | 2.17980 | + | 0.229106i | 0.0905111 | + | 0.00951310i | ||||
\(581\) | 11.7542 | + | 8.53991i | 0.487645 | + | 0.354295i | ||||
\(582\) | −8.19122 | − | 9.07855i | −0.339537 | − | 0.376318i | ||||
\(583\) | −7.46728 | + | 12.9337i | −0.309263 | + | 0.535660i | ||||
\(584\) | −6.74304 | − | 11.6793i | −0.279029 | − | 0.483292i | ||||
\(585\) | −4.61539 | − | 14.1063i | −0.190823 | − | 0.583223i | ||||
\(586\) | −9.94668 | − | 11.0469i | −0.410893 | − | 0.456343i | ||||
\(587\) | 4.48366 | + | 13.7993i | 0.185060 | + | 0.569557i | 0.999949 | − | 0.0100599i | \(-0.00320222\pi\) |
−0.814889 | + | 0.579617i | \(0.803202\pi\) | |||||||
\(588\) | 5.93634 | + | 8.15308i | 0.244810 | + | 0.336227i | ||||
\(589\) | 3.86483 | − | 10.1336i | 0.159247 | − | 0.417546i | ||||
\(590\) | 11.2673i | 0.463869i | ||||||||
\(591\) | −21.8181 | + | 30.0949i | −0.897478 | + | 1.23794i | ||||
\(592\) | 2.10478 | − | 1.89515i | 0.0865060 | − | 0.0778904i | ||||
\(593\) | 20.9768 | + | 28.8721i | 0.861415 | + | 1.18564i | 0.981230 | + | 0.192840i | \(0.0617698\pi\) |
−0.119815 | + | 0.992796i | \(0.538230\pi\) | |||||||
\(594\) | 9.71773 | − | 10.8596i | 0.398723 | − | 0.445574i | ||||
\(595\) | −1.63541 | − | 0.944204i | −0.0670453 | − | 0.0387086i | ||||
\(596\) | −16.0081 | + | 1.68252i | −0.655717 | + | 0.0689186i | ||||
\(597\) | 6.02641 | − | 0.00617522i | 0.246645 | − | 0.000252735i | ||||
\(598\) | −2.64257 | + | 25.1424i | −0.108063 | + | 1.02815i | ||||
\(599\) | 25.2394 | + | 22.7256i | 1.03125 | + | 0.928545i | 0.997484 | − | 0.0708851i | \(-0.0225824\pi\) |
0.0337688 | + | 0.999430i | \(0.489249\pi\) | |||||||
\(600\) | 1.69383 | − | 0.361849i | 0.0691504 | − | 0.0147724i | ||||
\(601\) | 5.94082 | − | 27.9493i | 0.242331 | − | 1.14008i | −0.673711 | − | 0.738995i | \(-0.735301\pi\) |
0.916042 | − | 0.401083i | \(-0.131366\pi\) | |||||||
\(602\) | 1.78682 | − | 0.379799i | 0.0728252 | − | 0.0154795i | ||||
\(603\) | −0.618842 | − | 5.77403i | −0.0252012 | − | 0.235137i | ||||
\(604\) | −8.68634 | − | 2.82236i | −0.353442 | − | 0.114840i | ||||
\(605\) | −2.98121 | − | 0.968654i | −0.121203 | − | 0.0393814i | ||||
\(606\) | 5.67636 | + | 3.26950i | 0.230586 | + | 0.132814i | ||||
\(607\) | 13.1165 | − | 2.78800i | 0.532383 | − | 0.113161i | 0.0661266 | − | 0.997811i | \(-0.478936\pi\) |
0.466256 | + | 0.884650i | \(0.345603\pi\) | |||||||
\(608\) | 0.404995 | − | 1.90535i | 0.0164247 | − | 0.0772722i | ||||
\(609\) | 0.860530 | + | 4.02818i | 0.0348704 | + | 0.163230i | ||||
\(610\) | 1.61513 | + | 1.45427i | 0.0653946 | + | 0.0588815i | ||||
\(611\) | 2.27508 | − | 21.6459i | 0.0920399 | − | 0.875701i | ||||
\(612\) | −4.21784 | + | 3.07767i | −0.170496 | + | 0.124407i | ||||
\(613\) | −26.2377 | + | 2.75769i | −1.05973 | + | 0.111382i | −0.618322 | − | 0.785925i | \(-0.712187\pi\) |
−0.441407 | + | 0.897307i | \(0.645521\pi\) | |||||||
\(614\) | 6.91027 | + | 3.98964i | 0.278876 | + | 0.161009i | ||||
\(615\) | −0.253018 | + | 0.569859i | −0.0102027 | + | 0.0229789i | ||||
\(616\) | −1.78861 | − | 2.46181i | −0.0720650 | − | 0.0991890i | ||||
\(617\) | −25.4085 | + | 22.8780i | −1.02291 | + | 0.921032i | −0.996904 | − | 0.0786300i | \(-0.974945\pi\) |
−0.0260056 | + | 0.999662i | \(0.508279\pi\) | |||||||
\(618\) | 17.0242 | + | 12.3422i | 0.684814 | + | 0.496475i | ||||
\(619\) | 14.6854i | 0.590258i | 0.955457 | + | 0.295129i | \(0.0953626\pi\) | ||||
−0.955457 | + | 0.295129i | \(0.904637\pi\) | |||||||
\(620\) | −4.67606 | − | 3.02233i | −0.187795 | − | 0.121380i | ||||
\(621\) | 25.2272 | − | 8.28264i | 1.01233 | − | 0.332371i | ||||
\(622\) | 0.503959 | + | 1.55103i | 0.0202069 | + | 0.0621905i | ||||
\(623\) | 4.93032 | + | 5.47567i | 0.197529 | + | 0.219378i | ||||
\(624\) | −2.63965 | + | 8.15242i | −0.105670 | + | 0.326358i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 5.97410 | − | 10.3474i | 0.238773 | − | 0.413567i | ||||
\(627\) | −7.02527 | + | 6.33863i | −0.280562 | + | 0.253140i | ||||
\(628\) | 13.7215 | + | 9.96926i | 0.547548 | + | 0.397817i | ||||
\(629\) | 4.90238 | + | 0.515261i | 0.195471 | + | 0.0205448i | ||||
\(630\) | 1.63330 | + | 2.81562i | 0.0650722 | + | 0.112177i | ||||
\(631\) | −19.0814 | + | 42.8575i | −0.759618 | + | 1.70613i | −0.0529380 | + | 0.998598i | \(0.516859\pi\) |
−0.706680 | + | 0.707533i | \(0.749808\pi\) | |||||||
\(632\) | −15.2587 | − | 3.24333i | −0.606958 | − | 0.129013i | ||||
\(633\) | −15.2198 | − | 13.6757i | −0.604931 | − | 0.543561i | ||||
\(634\) | −14.4998 | + | 6.45574i | −0.575862 | + | 0.256390i | ||||
\(635\) | 1.03275 | − | 3.17848i | 0.0409835 | − | 0.126134i | ||||
\(636\) | −8.76910 | + | 2.85919i | −0.347718 | + | 0.113374i | ||||
\(637\) | 11.7170 | + | 26.3168i | 0.464244 | + | 1.04271i | ||||
\(638\) | 1.27803 | + | 6.01265i | 0.0505976 | + | 0.238043i | ||||
\(639\) | 25.7277 | + | 14.7837i | 1.01777 | + | 0.584833i | ||||
\(640\) | −0.913545 | − | 0.406737i | −0.0361111 | − | 0.0160777i | ||||
\(641\) | 19.4832 | − | 21.6383i | 0.769540 | − | 0.854661i | −0.223221 | − | 0.974768i | \(-0.571657\pi\) |
0.992761 | + | 0.120107i | \(0.0383237\pi\) | |||||||
\(642\) | 1.91142 | − | 1.10617i | 0.0754377 | − | 0.0436571i | ||||
\(643\) | −20.0333 | + | 27.5735i | −0.790037 | + | 1.08739i | 0.204066 | + | 0.978957i | \(0.434584\pi\) |
−0.994103 | + | 0.108436i | \(0.965416\pi\) | |||||||
\(644\) | −0.579546 | − | 5.51402i | −0.0228373 | − | 0.217283i | ||||
\(645\) | −2.89979 | + | 0.307785i | −0.114179 | + | 0.0121190i | ||||
\(646\) | 2.93603 | − | 1.69512i | 0.115517 | − | 0.0666935i | ||||
\(647\) | −16.4963 | + | 11.9853i | −0.648537 | + | 0.471189i | −0.862772 | − | 0.505593i | \(-0.831274\pi\) |
0.214236 | + | 0.976782i | \(0.431274\pi\) | |||||||
\(648\) | 8.94677 | − | 0.977435i | 0.351462 | − | 0.0383973i | ||||
\(649\) | −30.0530 | + | 9.76480i | −1.17968 | + | 0.383302i | ||||
\(650\) | 4.94738 | 0.194052 | ||||||||
\(651\) | 2.67597 | − | 10.1156i | 0.104880 | − | 0.396460i | ||||
\(652\) | −14.2247 | −0.557082 | ||||||||
\(653\) | 11.2157 | − | 3.64421i | 0.438906 | − | 0.142609i | −0.0812250 | − | 0.996696i | \(-0.525883\pi\) |
0.520131 | + | 0.854087i | \(0.325883\pi\) | |||||||
\(654\) | 16.6076 | + | 3.51227i | 0.649408 | + | 0.137341i | ||||
\(655\) | −7.09403 | + | 5.15411i | −0.277187 | + | 0.201388i | ||||
\(656\) | 0.311752 | − | 0.179990i | 0.0121719 | − | 0.00702744i | ||||
\(657\) | −30.0108 | + | 27.1334i | −1.17083 | + | 1.05858i | ||||
\(658\) | 0.498951 | + | 4.74721i | 0.0194512 | + | 0.185065i | ||||
\(659\) | −11.4444 | + | 15.7518i | −0.445810 | + | 0.613604i | −0.971491 | − | 0.237077i | \(-0.923810\pi\) |
0.525681 | + | 0.850682i | \(0.323810\pi\) | |||||||
\(660\) | 2.43310 | + | 4.20430i | 0.0947083 | + | 0.163652i | ||||
\(661\) | 23.5186 | − | 26.1201i | 0.914769 | − | 1.01595i | −0.0850395 | − | 0.996378i | \(-0.527102\pi\) |
0.999808 | − | 0.0195761i | \(-0.00623167\pi\) | |||||||
\(662\) | −6.07484 | − | 2.70469i | −0.236105 | − | 0.105121i | ||||
\(663\) | −13.6184 | + | 6.08004i | −0.528896 | + | 0.236129i | ||||
\(664\) | 2.78405 | + | 13.0979i | 0.108042 | + | 0.508298i | ||||
\(665\) | −0.859648 | − | 1.93080i | −0.0333357 | − | 0.0748732i | ||||
\(666\) | −6.88427 | − | 4.98019i | −0.266760 | − | 0.192978i | ||||
\(667\) | −3.46100 | + | 10.6519i | −0.134010 | + | 0.412441i | ||||
\(668\) | −9.13791 | + | 4.06846i | −0.353556 | + | 0.157413i | ||||
\(669\) | 26.2777 | − | 29.2445i | 1.01595 | − | 1.13066i | ||||
\(670\) | 1.89340 | + | 0.402455i | 0.0731485 | + | 0.0155482i | ||||
\(671\) | −2.47917 | + | 5.56830i | −0.0957073 | + | 0.214962i | ||||
\(672\) | 0.194526 | − | 1.86921i | 0.00750399 | − | 0.0721063i | ||||
\(673\) | 32.8783 | + | 3.45564i | 1.26736 | + | 0.133205i | 0.714244 | − | 0.699897i | \(-0.246771\pi\) |
0.553119 | + | 0.833102i | \(0.313437\pi\) | |||||||
\(674\) | 4.56717 | + | 3.31825i | 0.175921 | + | 0.127814i | ||||
\(675\) | −2.12805 | − | 4.74040i | −0.0819086 | − | 0.182458i | ||||
\(676\) | −5.73827 | + | 9.93898i | −0.220703 | + | 0.382268i | ||||
\(677\) | 24.1819 | + | 41.8844i | 0.929388 | + | 1.60975i | 0.784348 | + | 0.620321i | \(0.212998\pi\) |
0.145040 | + | 0.989426i | \(0.453669\pi\) | |||||||
\(678\) | 21.1659 | + | 6.85324i | 0.812871 | + | 0.263197i | ||||
\(679\) | 5.12544 | + | 5.69237i | 0.196696 | + | 0.218453i | ||||
\(680\) | −0.537826 | − | 1.65526i | −0.0206247 | − | 0.0634762i | ||||
\(681\) | −21.0346 | + | 15.3155i | −0.806047 | + | 0.586890i | ||||
\(682\) | 4.00887 | − | 15.0916i | 0.153508 | − | 0.577886i | ||||
\(683\) | − | 33.7863i | − | 1.29280i | −0.763000 | − | 0.646399i | \(-0.776274\pi\) | ||
0.763000 | − | 0.646399i | \(-0.223726\pi\) | |||||||
\(684\) | −5.84374 | + | 0.0119761i | −0.223441 | + | 0.000457917i | ||||
\(685\) | 4.97020 | − | 4.47519i | 0.189902 | − | 0.170988i | ||||
\(686\) | −8.17779 | − | 11.2558i | −0.312230 | − | 0.429747i | ||||
\(687\) | −34.0456 | − | 15.1163i | −1.29892 | − | 0.576723i | ||||
\(688\) | 1.45804 | + | 0.841800i | 0.0555872 | + | 0.0320933i | ||||
\(689\) | −26.2013 | + | 2.75387i | −0.998189 | + | 0.104914i | ||||
\(690\) | 0.00906924 | + | 8.85070i | 0.000345260 | + | 0.336940i | ||||
\(691\) | 3.59410 | − | 34.1955i | 0.136726 | − | 1.30086i | −0.683977 | − | 0.729504i | \(-0.739751\pi\) |
0.820703 | − | 0.571356i | \(-0.193582\pi\) | |||||||
\(692\) | 11.7987 | + | 10.6236i | 0.448519 | + | 0.403848i | ||||
\(693\) | −6.09450 | + | 6.79658i | −0.231511 | + | 0.258181i | ||||
\(694\) | 0.425069 | − | 1.99979i | 0.0161354 | − | 0.0759110i | ||||
\(695\) | −12.6720 | + | 2.69351i | −0.480675 | + | 0.102171i | ||||
\(696\) | −1.89479 | + | 3.28965i | −0.0718218 | + | 0.124694i | ||||
\(697\) | 0.595861 | + | 0.193607i | 0.0225698 | + | 0.00733338i | ||||
\(698\) | −0.106316 | − | 0.0345443i | −0.00402414 | − | 0.00130752i | ||||
\(699\) | 14.2955 | − | 24.8192i | 0.540705 | − | 0.938748i | ||||
\(700\) | −1.06131 | + | 0.225588i | −0.0401136 | + | 0.00852642i | ||||
\(701\) | −2.72702 | + | 12.8296i | −0.102998 | + | 0.484568i | 0.896167 | + | 0.443717i | \(0.146340\pi\) |
−0.999165 | + | 0.0408516i | \(0.986993\pi\) | |||||||
\(702\) | 25.5746 | + | 2.60854i | 0.965253 | + | 0.0984531i | ||||
\(703\) | 4.09994 | + | 3.69160i | 0.154632 | + | 0.139231i | ||||
\(704\) | 0.293153 | − | 2.78916i | 0.0110486 | − | 0.105121i | ||||
\(705\) | −0.00780802 | − | 7.61987i | −0.000294067 | − | 0.286981i | ||||
\(706\) | −22.9399 | + | 2.41108i | −0.863355 | + | 0.0907423i | ||||
\(707\) | −3.55377 | − | 2.05177i | −0.133653 | − | 0.0771648i | ||||
\(708\) | −17.8365 | − | 7.91944i | −0.670337 | − | 0.297631i | ||||
\(709\) | −19.1273 | − | 26.3264i | −0.718340 | − | 0.988710i | −0.999577 | − | 0.0290721i | \(-0.990745\pi\) |
0.281237 | − | 0.959638i | \(-0.409255\pi\) | |||||||
\(710\) | −7.35038 | + | 6.61831i | −0.275855 | + | 0.248381i | ||||
\(711\) | 0.0959084 | + | 46.7986i | 0.00359685 | + | 1.75509i | ||||
\(712\) | 6.79090i | 0.254500i | ||||||||
\(713\) | 20.0744 | − | 20.1613i | 0.751794 | − | 0.755047i | ||||
\(714\) | 2.64418 | − | 1.92525i | 0.0989558 | − | 0.0720507i | ||||
\(715\) | 4.28763 | + | 13.1960i | 0.160348 | + | 0.493501i | ||||
\(716\) | −17.5469 | − | 19.4878i | −0.655757 | − | 0.728292i | ||||
\(717\) | 2.70885 | + | 0.877090i | 0.101164 | + | 0.0327555i | ||||
\(718\) | 8.01736 | + | 13.8865i | 0.299205 | + | 0.518239i | ||||
\(719\) | 7.06188 | − | 12.2315i | 0.263364 | − | 0.456159i | −0.703770 | − | 0.710428i | \(-0.748501\pi\) |
0.967134 | + | 0.254269i | \(0.0818348\pi\) | |||||||
\(720\) | −0.617720 | + | 2.93571i | −0.0230211 | + | 0.109408i | ||||
\(721\) | −10.6566 | − | 7.74250i | −0.396874 | − | 0.288346i | ||||
\(722\) | −15.1223 | − | 1.58942i | −0.562794 | − | 0.0591521i | ||||
\(723\) | −1.05045 | + | 10.0939i | −0.0390668 | + | 0.375396i | ||||
\(724\) | 3.84427 | − | 8.63437i | 0.142871 | − | 0.320894i | ||||
\(725\) | 2.14391 | + | 0.455702i | 0.0796227 | + | 0.0169243i | ||||
\(726\) | 3.62880 | − | 4.03851i | 0.134677 | − | 0.149883i | ||||
\(727\) | −26.7278 | + | 11.9000i | −0.991279 | + | 0.441346i | −0.837309 | − | 0.546730i | \(-0.815872\pi\) |
−0.153970 | + | 0.988076i | \(0.549206\pi\) | |||||||
\(728\) | 1.65880 | − | 5.10526i | 0.0614792 | − | 0.189214i | ||||
\(729\) | −8.50118 | − | 25.6267i | −0.314858 | − | 0.949139i | ||||
\(730\) | −5.48528 | − | 12.3201i | −0.203019 | − | 0.455989i | ||||
\(731\) | 0.609224 | + | 2.86617i | 0.0225330 | + | 0.106009i | ||||
\(732\) | −3.43736 | + | 1.53464i | −0.127049 | + | 0.0567218i | ||||
\(733\) | −6.10586 | − | 2.71850i | −0.225525 | − | 0.100410i | 0.290864 | − | 0.956765i | \(-0.406057\pi\) |
−0.516389 | + | 0.856354i | \(0.672724\pi\) | |||||||
\(734\) | 5.86161 | − | 6.50998i | 0.216356 | − | 0.240288i | ||||
\(735\) | 5.05159 | + | 8.72894i | 0.186331 | + | 0.321972i | ||||
\(736\) | 3.00356 | − | 4.13404i | 0.110713 | − | 0.152383i | ||||
\(737\) | 0.567456 | + | 5.39898i | 0.0209025 | + | 0.198874i | ||||
\(738\) | −0.724265 | − | 0.801070i | −0.0266606 | − | 0.0294878i | ||||
\(739\) | 20.4177 | − | 11.7881i | 0.751076 | − | 0.433634i | −0.0750067 | − | 0.997183i | \(-0.523898\pi\) |
0.826082 | + | 0.563549i | \(0.190564\pi\) | |||||||
\(740\) | 2.29135 | − | 1.66476i | 0.0842317 | − | 0.0611979i | ||||
\(741\) | −16.3307 | − | 3.45371i | −0.599923 | − | 0.126875i | ||||
\(742\) | 5.49511 | − | 1.78547i | 0.201732 | − | 0.0655466i | ||||
\(743\) | 14.7228 | 0.540127 | 0.270064 | − | 0.962842i | \(-0.412955\pi\) | ||||
0.270064 | + | 0.962842i | \(0.412955\pi\) | |||||||
\(744\) | 8.07108 | − | 5.27803i | 0.295900 | − | 0.193502i | ||||
\(745\) | −16.0963 | −0.589721 | ||||||||
\(746\) | 13.9921 | − | 4.54630i | 0.512287 | − | 0.166452i | ||||
\(747\) | 36.6650 | − | 16.4144i | 1.34150 | − | 0.600573i | ||||
\(748\) | 3.94890 | − | 2.86905i | 0.144386 | − | 0.104903i | ||||
\(749\) | −1.19809 | + | 0.691717i | −0.0437772 | + | 0.0252748i | ||||
\(750\) | 1.72238 | − | 0.182814i | 0.0628923 | − | 0.00667541i | ||||
\(751\) | 4.63143 | + | 44.0651i | 0.169003 | + | 1.60796i | 0.669901 | + | 0.742451i | \(0.266337\pi\) |
−0.500897 | + | 0.865507i | \(0.666997\pi\) | |||||||
\(752\) | −2.58586 | + | 3.55914i | −0.0942968 | + | 0.129788i | ||||
\(753\) | 9.56042 | − | 5.53278i | 0.348401 | − | 0.201626i | ||||
\(754\) | −7.25584 | + | 8.05843i | −0.264242 | + | 0.293471i | ||||
\(755\) | −8.34374 | − | 3.71487i | −0.303660 | − | 0.135198i | ||||
\(756\) | −5.60519 | + | 0.606556i | −0.203859 | + | 0.0220602i | ||||
\(757\) | −8.60153 | − | 40.4670i | −0.312628 | − | 1.47080i | −0.801264 | − | 0.598311i | \(-0.795839\pi\) |
0.488636 | − | 0.872488i | \(-0.337495\pi\) | |||||||
\(758\) | 1.61222 | + | 3.62110i | 0.0585583 | + | 0.131524i | ||||
\(759\) | −23.5993 | + | 7.69462i | −0.856600 | + | 0.279297i | ||||
\(760\) | 0.601940 | − | 1.85258i | 0.0218346 | − | 0.0672001i | ||||
\(761\) | 29.3063 | − | 13.0480i | 1.06235 | − | 0.472990i | 0.200262 | − | 0.979742i | \(-0.435821\pi\) |
0.862092 | + | 0.506752i | \(0.169154\pi\) | |||||||
\(762\) | 4.30574 | + | 3.86893i | 0.155981 | + | 0.140156i | ||||
\(763\) | −10.4013 | − | 2.21087i | −0.376553 | − | 0.0800388i | ||||
\(764\) | 2.64627 | − | 5.94362i | 0.0957387 | − | 0.215033i | ||||
\(765\) | −4.51644 | + | 2.61992i | −0.163292 | + | 0.0947235i | ||||
\(766\) | 27.0088 | + | 2.83874i | 0.975867 | + | 0.102568i | ||||
\(767\) | −45.0977 | − | 32.7654i | −1.62838 | − | 1.18309i | ||||
\(768\) | 1.28598 | − | 1.16029i | 0.0464037 | − | 0.0418682i | ||||
\(769\) | −26.7784 | + | 46.3816i | −0.965654 | + | 1.67256i | −0.257807 | + | 0.966196i | \(0.583000\pi\) |
−0.707847 | + | 0.706366i | \(0.750333\pi\) | |||||||
\(770\) | −1.52148 | − | 2.63528i | −0.0548303 | − | 0.0949689i | ||||
\(771\) | −11.4566 | + | 35.3832i | −0.412600 | + | 1.27430i | ||||
\(772\) | −7.38796 | − | 8.20516i | −0.265899 | − | 0.295310i | ||||
\(773\) | −6.87899 | − | 21.1714i | −0.247420 | − | 0.761481i | −0.995229 | − | 0.0975666i | \(-0.968894\pi\) |
0.747809 | − | 0.663914i | \(-0.231106\pi\) | |||||||
\(774\) | 1.55093 | − | 4.80678i | 0.0557472 | − | 0.172776i | ||||
\(775\) | −4.33452 | − | 3.49456i | −0.155701 | − | 0.125528i | ||||
\(776\) | 7.05965i | 0.253427i | ||||||||
\(777\) | 4.30935 | + | 3.12418i | 0.154597 | + | 0.112079i | ||||
\(778\) | 6.51394 | − | 5.86517i | 0.233536 | − | 0.210277i | ||||
\(779\) | 0.412162 | + | 0.567293i | 0.0147672 | + | 0.0203254i | ||||
\(780\) | −3.47735 | + | 7.83184i | −0.124509 | + | 0.280425i | ||||
\(781\) | −24.0230 | − | 13.8697i | −0.859609 | − | 0.496296i | ||||
\(782\) | 8.84486 | − | 0.929632i | 0.316291 | − | 0.0332436i | ||||
\(783\) | 10.8423 | + | 3.48606i | 0.387472 | + | 0.124582i | ||||
\(784\) | 0.608642 | − | 5.79084i | 0.0217372 | − | 0.206816i | ||||
\(785\) | 12.6043 | + | 11.3489i | 0.449866 | + | 0.405061i | ||||
\(786\) | −3.17295 | − | 14.8527i | −0.113175 | − | 0.529778i | ||||
\(787\) | −2.83663 | + | 13.3453i | −0.101115 | + | 0.475708i | 0.898230 | + | 0.439525i | \(0.144853\pi\) |
−0.999345 | + | 0.0361828i | \(0.988480\pi\) | |||||||
\(788\) | 20.9921 | − | 4.46201i | 0.747812 | − | 0.158952i | ||||
\(789\) | −32.6548 | − | 18.8087i | −1.16254 | − | 0.669607i | ||||
\(790\) | −14.8361 | − | 4.82053i | −0.527844 | − | 0.171507i | ||||
\(791\) | −13.2546 | − | 4.30670i | −0.471281 | − | 0.153128i | ||||
\(792\) | −8.36567 | + | 0.896605i | −0.297261 | + | 0.0318595i | ||||
\(793\) | −10.5175 | + | 2.23556i | −0.373488 | + | 0.0793872i | ||||
\(794\) | −6.13513 | + | 28.8635i | −0.217727 | + | 1.02433i | ||||
\(795\) | −9.01993 | + | 1.92691i | −0.319904 | + | 0.0683404i | ||||
\(796\) | −2.58566 | − | 2.32814i | −0.0916464 | − | 0.0825188i | ||||
\(797\) | −3.50578 | + | 33.3553i | −0.124181 | + | 1.18150i | 0.737963 | + | 0.674841i | \(0.235788\pi\) |
−0.862144 | + | 0.506663i | \(0.830879\pi\) | |||||||
\(798\) | 3.66073 | − | 0.00375112i | 0.129588 | − | 0.000132788i | ||||
\(799\) | −7.61484 | + | 0.800352i | −0.269394 | + | 0.0283144i | ||||
\(800\) | −0.866025 | − | 0.500000i | −0.0306186 | − | 0.0176777i | ||||
\(801\) | 19.9188 | − | 4.27655i | 0.703795 | − | 0.151105i | ||||
\(802\) | −0.595692 | − | 0.819900i | −0.0210346 | − | 0.0289517i | ||||
\(803\) | 28.1073 | − | 25.3079i | 0.991884 | − | 0.893097i | ||||
\(804\) | −1.96791 | + | 2.71443i | −0.0694027 | + | 0.0957307i | ||||
\(805\) | − | 5.54439i | − | 0.195414i | ||||||
\(806\) | 25.6949 | − | 9.92704i | 0.905064 | − | 0.349665i | ||||
\(807\) | −22.9198 | − | 31.4786i | −0.806816 | − | 1.10810i | ||||
\(808\) | −1.16870 | − | 3.59690i | −0.0411149 | − | 0.126539i | ||||
\(809\) | −21.3388 | − | 23.6992i | −0.750233 | − | 0.833218i | 0.240271 | − | 0.970706i | \(-0.422764\pi\) |
−0.990503 | + | 0.137488i | \(0.956097\pi\) | |||||||
\(810\) | 8.99992 | − | 0.0368888i | 0.316225 | − | 0.00129614i | ||||
\(811\) | −13.9954 | − | 24.2407i | −0.491444 | − | 0.851206i | 0.508507 | − | 0.861058i | \(-0.330197\pi\) |
−0.999951 | + | 0.00985161i | \(0.996864\pi\) | |||||||
\(812\) | 1.18907 | − | 2.05953i | 0.0417283 | − | 0.0722755i | ||||
\(813\) | −30.7765 | − | 34.1104i | −1.07938 | − | 1.19630i | ||||
\(814\) | 6.42615 | + | 4.66887i | 0.225236 | + | 0.163644i | ||||
\(815\) | −14.1468 | − | 1.48688i | −0.495539 | − | 0.0520833i | ||||
\(816\) | 2.99834 | + | 0.312032i | 0.104963 | + | 0.0109233i | ||||
\(817\) | −1.33390 | + | 2.99598i | −0.0466672 | + | 0.104816i | ||||
\(818\) | 4.82284 | + | 1.02513i | 0.168627 | + | 0.0358427i | ||||
\(819\) | −16.0192 | − | 1.65050i | −0.559755 | − | 0.0576730i | ||||
\(820\) | 0.328859 | − | 0.146417i | 0.0114842 | − | 0.00511311i | ||||
\(821\) | 11.4323 | − | 35.1849i | 0.398989 | − | 1.22796i | −0.526822 | − | 0.849976i | \(-0.676617\pi\) |
0.925811 | − | 0.377987i | \(-0.123383\pi\) | |||||||
\(822\) | 3.59096 | + | 11.0134i | 0.125249 | + | 0.384137i | ||||
\(823\) | 14.2072 | + | 31.9100i | 0.495233 | + | 1.11231i | 0.972362 | + | 0.233478i | \(0.0750108\pi\) |
−0.477129 | + | 0.878833i | \(0.658323\pi\) | |||||||
\(824\) | −2.52409 | − | 11.8749i | −0.0879308 | − | 0.413682i | ||||
\(825\) | 1.98030 | + | 4.43560i | 0.0689453 | + | 0.154428i | ||||
\(826\) | 11.1683 | + | 4.97246i | 0.388596 | + | 0.173014i | ||||
\(827\) | 15.3405 | − | 17.0373i | 0.533440 | − | 0.592445i | −0.414834 | − | 0.909897i | \(-0.636160\pi\) |
0.948274 | + | 0.317452i | \(0.102827\pi\) | |||||||
\(828\) | −14.0173 | − | 6.20650i | −0.487134 | − | 0.215691i | ||||
\(829\) | 24.0543 | − | 33.1080i | 0.835442 | − | 1.14989i | −0.151444 | − | 0.988466i | \(-0.548392\pi\) |
0.986886 | − | 0.161421i | \(-0.0516078\pi\) | |||||||
\(830\) | 1.39969 | + | 13.3172i | 0.0485840 | + | 0.462246i | ||||
\(831\) | 3.25203 | + | 30.6390i | 0.112812 | + | 1.06285i | ||||
\(832\) | 4.28455 | − | 2.47369i | 0.148540 | − | 0.0857597i | ||||
\(833\) | 8.19869 | − | 5.95669i | 0.284068 | − | 0.206387i | ||||
\(834\) | 4.64280 | − | 21.9532i | 0.160767 | − | 0.760178i | ||||
\(835\) | −9.51312 | + | 3.09100i | −0.329215 | + | 0.106968i | ||||
\(836\) | 5.46299 | 0.188941 | ||||||||
\(837\) | −20.5640 | − | 20.3499i | −0.710797 | − | 0.703397i | ||||
\(838\) | −24.8756 | −0.859313 | ||||||||
\(839\) | 39.7746 | − | 12.9236i | 1.37317 | − | 0.446171i | 0.472754 | − | 0.881195i | \(-0.343260\pi\) |
0.900419 | + | 0.435024i | \(0.143260\pi\) | |||||||
\(840\) | 0.388846 | − | 1.83864i | 0.0134164 | − | 0.0634390i | ||||
\(841\) | 19.5750 | − | 14.2220i | 0.674999 | − | 0.490416i | ||||
\(842\) | 12.7910 | − | 7.38488i | 0.440807 | − | 0.254500i | ||||
\(843\) | 0.104823 | + | 0.987589i | 0.00361030 | + | 0.0340144i | ||||
\(844\) | 1.23483 | + | 11.7486i | 0.0425047 | + | 0.404405i | ||||
\(845\) | −6.74574 | + | 9.28472i | −0.232061 | + | 0.319404i | ||||
\(846\) | 12.0680 | + | 5.34339i | 0.414905 | + | 0.183710i | ||||
\(847\) | −2.27580 | + | 2.52753i | −0.0781974 | + | 0.0868470i | ||||
\(848\) | 4.86478 | + | 2.16594i | 0.167057 | + | 0.0743787i | ||||
\(849\) | 19.7193 | + | 44.1683i | 0.676763 | + | 1.51585i | ||||
\(850\) | −0.361858 | − | 1.70241i | −0.0124116 | − | 0.0583921i | ||||
\(851\) | 5.88659 | + | 13.2215i | 0.201790 | + | 0.453227i | ||||
\(852\) | −5.31064 | − | 16.2877i | −0.181939 | − | 0.558006i | ||||
\(853\) | −14.0868 | + | 43.3547i | −0.482323 | + | 1.48444i | 0.353497 | + | 0.935436i | \(0.384992\pi\) |
−0.835821 | + | 0.549003i | \(0.815008\pi\) | |||||||
\(854\) | 2.15427 | − | 0.959142i | 0.0737176 | − | 0.0328212i | ||||
\(855\) | −5.81298 | − | 0.598927i | −0.198800 | − | 0.0204829i | ||||
\(856\) | −1.24717 | − | 0.265095i | −0.0426274 | − | 0.00906074i | ||||
\(857\) | −14.5907 | + | 32.7713i | −0.498410 | + | 1.11945i | 0.472789 | + | 0.881176i | \(0.343247\pi\) |
−0.971199 | + | 0.238271i | \(0.923419\pi\) | |||||||
\(858\) | −23.9032 | − | 2.48757i | −0.816042 | − | 0.0849241i | ||||
\(859\) | 31.1115 | + | 3.26995i | 1.06151 | + | 0.111569i | 0.619153 | − | 0.785270i | \(-0.287476\pi\) |
0.442356 | + | 0.896839i | \(0.354143\pi\) | |||||||
\(860\) | 1.36206 | + | 0.989595i | 0.0464459 | + | 0.0337449i | ||||
\(861\) | 0.453191 | + | 0.502283i | 0.0154447 | + | 0.0171178i | ||||
\(862\) | 9.06765 | − | 15.7056i | 0.308845 | − | 0.534936i | ||||
\(863\) | −19.7831 | − | 34.2653i | −0.673424 | − | 1.16640i | −0.976927 | − | 0.213574i | \(-0.931489\pi\) |
0.303503 | − | 0.952831i | \(-0.401844\pi\) | |||||||
\(864\) | −4.21314 | − | 3.04128i | −0.143334 | − | 0.103467i | ||||
\(865\) | 10.6236 | + | 11.7987i | 0.361213 | + | 0.401168i | ||||
\(866\) | −2.52278 | − | 7.76432i | −0.0857275 | − | 0.263842i | ||||
\(867\) | −14.2434 | − | 19.5622i | −0.483732 | − | 0.664367i | ||||
\(868\) | −5.05939 | + | 3.30116i | −0.171727 | + | 0.112049i | ||||
\(869\) | − | 43.7494i | − | 1.48410i | ||||||
\(870\) | −2.22827 | + | 3.07357i | −0.0755454 | + | 0.104204i | ||||
\(871\) | −7.11683 | + | 6.40802i | −0.241145 | + | 0.217128i | ||||
\(872\) | −5.76057 | − | 7.92875i | −0.195078 | − | 0.268501i | ||||
\(873\) | 20.7071 | − | 4.44580i | 0.700829 | − | 0.150468i | ||||
\(874\) | 8.62022 | + | 4.97689i | 0.291583 | + | 0.168346i | ||||
\(875\) | −1.07907 | + | 0.113415i | −0.0364793 | + | 0.00383413i | ||||
\(876\) | 23.3586 | − | 0.0239353i | 0.789213 | − | 0.000808700i | ||||
\(877\) | −4.18683 | + | 39.8350i | −0.141379 | + | 1.34513i | 0.661927 | + | 0.749568i | \(0.269739\pi\) |
−0.803307 | + | 0.595566i | \(0.796928\pi\) | |||||||
\(878\) | −3.40635 | − | 3.06709i | −0.114959 | − | 0.103509i | ||||
\(879\) | 25.1789 | − | 5.37892i | 0.849264 | − | 0.181426i | ||||
\(880\) | 0.583094 | − | 2.74324i | 0.0196561 | − | 0.0924746i | ||||
\(881\) | −28.0145 | + | 5.95467i | −0.943833 | + | 0.200618i | −0.654030 | − | 0.756469i | \(-0.726923\pi\) |
−0.289803 | + | 0.957086i | \(0.593590\pi\) | |||||||
\(882\) | −17.3687 | + | 1.86152i | −0.584836 | + | 0.0626808i | ||||
\(883\) | −29.8618 | − | 9.70267i | −1.00493 | − | 0.326521i | −0.240095 | − | 0.970749i | \(-0.577179\pi\) |
−0.764833 | + | 0.644228i | \(0.777179\pi\) | |||||||
\(884\) | 8.18919 | + | 2.66083i | 0.275432 | + | 0.0894933i | ||||
\(885\) | −16.9110 | − | 9.74048i | −0.568457 | − | 0.327423i | ||||
\(886\) | −4.40150 | + | 0.935567i | −0.147871 | + | 0.0314310i | ||||
\(887\) | 3.22444 | − | 15.1698i | 0.108266 | − | 0.509352i | −0.890278 | − | 0.455417i | \(-0.849490\pi\) |
0.998544 | − | 0.0539354i | \(-0.0171765\pi\) | |||||||
\(888\) | 1.02485 | + | 4.79738i | 0.0343918 | + | 0.160989i | ||||
\(889\) | −2.69478 | − | 2.42639i | −0.0903801 | − | 0.0813786i | ||||
\(890\) | −0.709842 | + | 6.75370i | −0.0237940 | + | 0.226384i | ||||
\(891\) | 7.89814 | + | 23.9732i | 0.264598 | + | 0.803132i | ||||
\(892\) | −22.5748 | + | 2.37271i | −0.755861 | + | 0.0794442i | ||||
\(893\) | −7.42144 | − | 4.28477i | −0.248349 | − | 0.143384i | ||||
\(894\) | 11.3135 | − | 25.4808i | 0.378381 | − | 0.852207i | ||||
\(895\) | −15.4137 | − | 21.2151i | −0.515223 | − | 0.709144i | ||||
\(896\) | −0.806325 | + | 0.726018i | −0.0269374 | + | 0.0242546i | ||||
\(897\) | −35.4514 | − | 25.7015i | −1.18369 | − | 0.858148i | ||||
\(898\) | − | 2.22052i | − | 0.0740997i | ||||||
\(899\) | 12.0491 | − | 1.93506i | 0.401858 | − | 0.0645377i | ||||
\(900\) | −0.921202 | + | 2.85506i | −0.0307067 | + | 0.0951688i | ||||
\(901\) | 2.86401 | + | 8.81452i | 0.0954141 | + | 0.293654i | ||||
\(902\) | 0.675538 | + | 0.750260i | 0.0224929 | + | 0.0249809i | ||||
\(903\) | −0.974645 | + | 3.01014i | −0.0324341 | + | 0.100171i | ||||
\(904\) | −6.42237 | − | 11.1239i | −0.213605 | − | 0.369974i | ||||
\(905\) | 4.72575 | − | 8.18523i | 0.157089 | − | 0.272086i | ||||
\(906\) | 11.7453 | − | 10.5973i | 0.390211 | − | 0.352072i | ||||
\(907\) | −33.7651 | − | 24.5318i | −1.12115 | − | 0.814564i | −0.136768 | − | 0.990603i | \(-0.543671\pi\) |
−0.984383 | + | 0.176039i | \(0.943671\pi\) | |||||||
\(908\) | 14.9401 | + | 1.57027i | 0.495805 | + | 0.0521112i | ||||
\(909\) | −9.81429 | + | 5.69313i | −0.325520 | + | 0.188829i | ||||
\(910\) | 2.18336 | − | 4.90390i | 0.0723776 | − | 0.162563i | ||||
\(911\) | −20.9363 | − | 4.45014i | −0.693649 | − | 0.147440i | −0.152421 | − | 0.988316i | \(-0.548707\pi\) |
−0.541228 | + | 0.840876i | \(0.682040\pi\) | |||||||
\(912\) | 2.50960 | + | 2.25500i | 0.0831012 | + | 0.0746706i | ||||
\(913\) | −34.3074 | + | 15.2746i | −1.13541 | + | 0.505516i | ||||
\(914\) | −5.21143 | + | 16.0391i | −0.172379 | + | 0.530527i | ||||
\(915\) | −3.57895 | + | 1.16693i | −0.118316 | + | 0.0385774i | ||||
\(916\) | 8.74753 | + | 19.6473i | 0.289027 | + | 0.649165i | ||||
\(917\) | 1.97811 | + | 9.30628i | 0.0653230 | + | 0.307321i | ||||
\(918\) | −0.972957 | − | 8.99111i | −0.0321124 | − | 0.296751i | ||||
\(919\) | −40.3252 | − | 17.9540i | −1.33021 | − | 0.592246i | −0.386274 | − | 0.922384i | \(-0.626238\pi\) |
−0.943933 | + | 0.330138i | \(0.892905\pi\) | |||||||
\(920\) | 3.41923 | − | 3.79744i | 0.112729 | − | 0.125198i | ||||
\(921\) | −11.9618 | + | 6.92253i | −0.394156 | + | 0.228105i | ||||
\(922\) | 4.76613 | − | 6.56002i | 0.156964 | − | 0.216043i | ||||
\(923\) | −5.11501 | − | 48.6660i | −0.168362 | − | 1.60186i | ||||
\(924\) | 5.24112 | − | 0.556294i | 0.172420 | − | 0.0183007i | ||||
\(925\) | 2.45281 | − | 1.41613i | 0.0806480 | − | 0.0465621i | ||||
\(926\) | 30.5494 | − | 22.1954i | 1.00391 | − | 0.729387i | ||||
\(927\) | −33.2414 | + | 14.8817i | −1.09179 | + | 0.488781i | ||||
\(928\) | 2.08453 | − | 0.677305i | 0.0684280 | − | 0.0222336i | ||||
\(929\) | 32.2565 | 1.05830 | 0.529150 | − | 0.848528i | \(-0.322511\pi\) | ||||
0.529150 | + | 0.848528i | \(0.322511\pi\) | |||||||
\(930\) | 8.57857 | − | 4.40546i | 0.281303 | − | 0.144461i | ||||
\(931\) | 11.3422 | 0.371726 | ||||||||
\(932\) | −15.7270 | + | 5.11001i | −0.515155 | + | 0.167384i | ||||
\(933\) | −2.76358 | − | 0.584458i | −0.0904755 | − | 0.0191343i | ||||
\(934\) | −13.5217 | + | 9.82409i | −0.442444 | + | 0.321454i | ||||
\(935\) | 4.22717 | − | 2.44056i | 0.138243 | − | 0.0798147i | ||||
\(936\) | −9.95391 | − | 11.0095i | −0.325354 | − | 0.359856i | ||||
\(937\) | −1.36887 | − | 13.0239i | −0.0447190 | − | 0.425473i | −0.993862 | − | 0.110628i | \(-0.964714\pi\) |
0.949143 | − | 0.314846i | \(-0.101953\pi\) | |||||||
\(938\) | 1.23451 | − | 1.69915i | 0.0403081 | − | 0.0554793i | ||||
\(939\) | 10.3658 | + | 17.9117i | 0.338275 | + | 0.584526i | ||||
\(940\) | −2.94373 | + | 3.26934i | −0.0960139 | + | 0.106634i | ||||
\(941\) | 45.4533 | + | 20.2371i | 1.48174 | + | 0.659711i | 0.978838 | − | 0.204636i | \(-0.0656009\pi\) |
0.502897 | + | 0.864346i | \(0.332268\pi\) | |||||||
\(942\) | −26.8248 | + | 11.9761i | −0.873999 | + | 0.390203i | ||||
\(943\) | 0.382450 | + | 1.79929i | 0.0124543 | + | 0.0585929i | ||||
\(944\) | 4.58284 | + | 10.2932i | 0.149159 | + | 0.335016i | ||||
\(945\) | −5.63789 | + | 0.0173313i | −0.183400 | + | 0.000563788i | ||||
\(946\) | −1.45909 | + | 4.49060i | −0.0474390 | + | 0.146002i | ||||
\(947\) | 45.6791 | − | 20.3377i | 1.48437 | − | 0.660885i | 0.505031 | − | 0.863101i | \(-0.331481\pi\) |
0.979341 | + | 0.202216i | \(0.0648142\pi\) | |||||||
\(948\) | 18.0588 | − | 20.0977i | 0.586523 | − | 0.652744i | ||||
\(949\) | 65.2627 | + | 13.8720i | 2.11852 | + | 0.450305i | ||||
\(950\) | 0.792289 | − | 1.77951i | 0.0257053 | − | 0.0577350i | ||||
\(951\) | 2.84560 | − | 27.3435i | 0.0922748 | − | 0.886675i | ||||
\(952\) | −1.87806 | − | 0.197392i | −0.0608684 | − | 0.00639753i | ||||
\(953\) | 6.79690 | + | 4.93824i | 0.220173 | + | 0.159965i | 0.692405 | − | 0.721509i | \(-0.256551\pi\) |
−0.472231 | + | 0.881475i | \(0.656551\pi\) | |||||||
\(954\) | 3.28946 | − | 15.6332i | 0.106500 | − | 0.506143i | ||||
\(955\) | 3.25305 | − | 5.63445i | 0.105266 | − | 0.182326i | ||||
\(956\) | −0.821946 | − | 1.42365i | −0.0265836 | − | 0.0460442i | ||||
\(957\) | −10.1291 | − | 3.27969i | −0.327429 | − | 0.106017i | ||||
\(958\) | 12.4434 | + | 13.8198i | 0.402027 | + | 0.446496i | ||||
\(959\) | −2.24243 | − | 6.90150i | −0.0724119 | − | 0.222861i | ||||
\(960\) | 1.40021 | − | 1.01951i | 0.0451917 | − | 0.0329045i | ||||
\(961\) | −29.5238 | − | 9.45214i | −0.952382 | − | 0.304908i | ||||
\(962\) | 14.0123i | 0.451774i | ||||||||
\(963\) | 0.00783909 | + | 3.82509i | 0.000252611 | + | 0.123262i | ||||
\(964\) | 4.35422 | − | 3.92056i | 0.140240 | − | 0.126273i | ||||
\(965\) | −6.48982 | − | 8.93247i | −0.208915 | − | 0.287546i | ||||
\(966\) | 8.77692 | + | 3.89697i | 0.282393 | + | 0.125383i | ||||
\(967\) | −29.2570 | − | 16.8915i | −0.940841 | − | 0.543195i | −0.0506171 | − | 0.998718i | \(-0.516119\pi\) |
−0.890224 | + | 0.455523i | \(0.849452\pi\) | |||||||
\(968\) | −3.11746 | + | 0.327658i | −0.100199 | + | 0.0105313i | ||||
\(969\) | 0.00601705 | + | 5.87206i | 0.000193295 | + | 0.188638i | ||||
\(970\) | −0.737935 | + | 7.02098i | −0.0236937 | + | 0.225430i | ||||
\(971\) | −33.6709 | − | 30.3174i | −1.08055 | − | 0.972931i | −0.0808323 | − | 0.996728i | \(-0.525758\pi\) |
−0.999717 | + | 0.0237970i | \(0.992424\pi\) | |||||||
\(972\) | −6.26735 | + | 14.2731i | −0.201025 | + | 0.457809i | ||||
\(973\) | −2.92250 | + | 13.7493i | −0.0936911 | + | 0.440782i | ||||
\(974\) | 0.985777 | − | 0.209533i | 0.0315863 | − | 0.00671388i | ||||
\(975\) | −4.27695 | + | 7.42545i | −0.136972 | + | 0.237805i | ||||
\(976\) | 2.06700 | + | 0.671608i | 0.0661629 | + | 0.0214976i | ||||
\(977\) | −27.3012 | − | 8.87071i | −0.873444 | − | 0.283799i | −0.162211 | − | 0.986756i | \(-0.551863\pi\) |
−0.711232 | + | 0.702957i | \(0.751863\pi\) | |||||||
\(978\) | 12.2971 | − | 21.3496i | 0.393217 | − | 0.682686i | ||||
\(979\) | −18.6291 | + | 3.95973i | −0.595388 | + | 0.126554i | ||||
\(980\) | 1.21062 | − | 5.69550i | 0.0386717 | − | 0.181936i | ||||
\(981\) | −19.6286 | + | 21.8898i | −0.626692 | + | 0.698887i | ||||
\(982\) | −19.4700 | − | 17.5308i | −0.621312 | − | 0.559432i | ||||
\(983\) | −6.42601 | + | 61.1394i | −0.204958 | + | 1.95004i | 0.0934931 | + | 0.995620i | \(0.470197\pi\) |
−0.298451 | + | 0.954425i | \(0.596470\pi\) | |||||||
\(984\) | 0.000638900 | 0.623504i | 2.03674e−5 | 0.0198766i | ||||||
\(985\) | 21.3435 | − | 2.24329i | 0.680061 | − | 0.0714773i | ||||
\(986\) | 3.30363 | + | 1.90735i | 0.105209 | + | 0.0607425i | ||||
\(987\) | −7.55636 | − | 3.35503i | −0.240521 | − | 0.106792i | ||||
\(988\) | 5.66454 | + | 7.79656i | 0.180213 | + | 0.248042i | ||||
\(989\) | −6.39336 | + | 5.75661i | −0.203297 | + | 0.183050i | ||||
\(990\) | −8.41356 | + | 0.0172426i | −0.267401 | + | 0.000548007i | ||||
\(991\) | 11.6788i | 0.370990i | 0.982645 | + | 0.185495i | \(0.0593889\pi\) | ||||
−0.982645 | + | 0.185495i | \(0.940611\pi\) | |||||||
\(992\) | −5.50108 | − | 0.859116i | −0.174660 | − | 0.0272770i | ||||
\(993\) | 9.31107 | − | 6.77948i | 0.295478 | − | 0.215140i | ||||
\(994\) | 3.31631 | + | 10.2066i | 0.105187 | + | 0.323732i | ||||
\(995\) | −2.32814 | − | 2.58566i | −0.0738071 | − | 0.0819710i | ||||
\(996\) | −22.0653 | − | 7.14445i | −0.699165 | − | 0.226381i | ||||
\(997\) | −22.1905 | − | 38.4350i | −0.702779 | − | 1.21725i | −0.967487 | − | 0.252921i | \(-0.918609\pi\) |
0.264708 | − | 0.964329i | \(-0.414724\pi\) | |||||||
\(998\) | −1.77344 | + | 3.07169i | −0.0561373 | + | 0.0972326i | ||||
\(999\) | 13.4261 | − | 6.02719i | 0.424782 | − | 0.190692i |
(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 | 930.2.br.b.11.17 | yes | 176 | |
3.2 | odd | 2 | inner | 930.2.br.b.11.1 | ✓ | 176 | |
31.17 | odd | 30 | inner | 930.2.br.b.761.1 | yes | 176 | |
93.17 | even | 30 | inner | 930.2.br.b.761.17 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.br.b.11.1 | ✓ | 176 | 3.2 | odd | 2 | inner | |
930.2.br.b.11.17 | yes | 176 | 1.1 | even | 1 | trivial | |
930.2.br.b.761.1 | yes | 176 | 31.17 | odd | 30 | inner | |
930.2.br.b.761.17 | yes | 176 | 93.17 | even | 30 | inner |