Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(64,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.q (of order \(11\), degree \(10\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 8 x^{19} + 40 x^{18} - 117 x^{17} + 295 x^{16} - 575 x^{15} + 1777 x^{14} - 1560 x^{13} + \cdots + 2374681 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 169.2 | ||
Root | \(-0.318425 - 2.21469i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 483.169 |
Dual form | 483.2.q.c.463.2 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{3}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.186393 | − | 1.29639i | 0.131800 | − | 0.916686i | −0.811407 | − | 0.584481i | \(-0.801298\pi\) |
0.943207 | − | 0.332205i | \(-0.107793\pi\) | |||||||
\(3\) | 0.415415 | + | 0.909632i | 0.239840 | + | 0.525176i | ||||
\(4\) | 0.273100 | + | 0.0801894i | 0.136550 | + | 0.0400947i | ||||
\(5\) | 1.65162 | + | 1.90608i | 0.738628 | + | 0.852423i | 0.993415 | − | 0.114575i | \(-0.0365505\pi\) |
−0.254786 | + | 0.966997i | \(0.582005\pi\) | |||||||
\(6\) | 1.25667 | − | 0.368991i | 0.513033 | − | 0.150640i | ||||
\(7\) | 0.841254 | + | 0.540641i | 0.317964 | + | 0.204343i | ||||
\(8\) | 1.24302 | − | 2.72183i | 0.439473 | − | 0.962311i | ||||
\(9\) | −0.654861 | + | 0.755750i | −0.218287 | + | 0.251917i | ||||
\(10\) | 2.77887 | − | 1.78587i | 0.878755 | − | 0.564742i | ||||
\(11\) | 0.470231 | + | 3.27053i | 0.141780 | + | 0.986100i | 0.929172 | + | 0.369648i | \(0.120522\pi\) |
−0.787392 | + | 0.616453i | \(0.788569\pi\) | |||||||
\(12\) | 0.0405070 | + | 0.281733i | 0.0116934 | + | 0.0813292i | ||||
\(13\) | −2.21826 | + | 1.42559i | −0.615234 | + | 0.395387i | −0.810817 | − | 0.585300i | \(-0.800977\pi\) |
0.195582 | + | 0.980687i | \(0.437340\pi\) | |||||||
\(14\) | 0.857685 | − | 0.989821i | 0.229226 | − | 0.264541i | ||||
\(15\) | −1.04772 | + | 2.29418i | −0.270520 | + | 0.592355i | ||||
\(16\) | −2.81797 | − | 1.81100i | −0.704492 | − | 0.452750i | ||||
\(17\) | −2.87118 | + | 0.843054i | −0.696363 | + | 0.204471i | −0.610710 | − | 0.791854i | \(-0.709116\pi\) |
−0.0856531 | + | 0.996325i | \(0.527298\pi\) | |||||||
\(18\) | 0.857685 | + | 0.989821i | 0.202158 | + | 0.233303i | ||||
\(19\) | −4.39983 | − | 1.29191i | −1.00939 | − | 0.296384i | −0.265087 | − | 0.964225i | \(-0.585401\pi\) |
−0.744304 | + | 0.667841i | \(0.767219\pi\) | |||||||
\(20\) | 0.298212 | + | 0.652992i | 0.0666821 | + | 0.146013i | ||||
\(21\) | −0.142315 | + | 0.989821i | −0.0310556 | + | 0.215997i | ||||
\(22\) | 4.32753 | 0.922631 | ||||||||
\(23\) | 4.63215 | − | 1.24226i | 0.965870 | − | 0.259028i | ||||
\(24\) | 2.99223 | 0.610786 | ||||||||
\(25\) | −0.193688 | + | 1.34713i | −0.0387376 | + | 0.269426i | ||||
\(26\) | 1.43465 | + | 3.14145i | 0.281358 | + | 0.616089i | ||||
\(27\) | −0.959493 | − | 0.281733i | −0.184655 | − | 0.0542195i | ||||
\(28\) | 0.186393 | + | 0.215109i | 0.0352249 | + | 0.0406517i | ||||
\(29\) | 8.79997 | − | 2.58390i | 1.63411 | − | 0.479819i | 0.669352 | − | 0.742946i | \(-0.266572\pi\) |
0.964761 | + | 0.263127i | \(0.0847538\pi\) | |||||||
\(30\) | 2.77887 | + | 1.78587i | 0.507350 | + | 0.326054i | ||||
\(31\) | −0.0842219 | + | 0.184420i | −0.0151267 | + | 0.0331229i | −0.917045 | − | 0.398785i | \(-0.869432\pi\) |
0.901918 | + | 0.431908i | \(0.142159\pi\) | |||||||
\(32\) | 1.04598 | − | 1.20712i | 0.184904 | − | 0.213391i | ||||
\(33\) | −2.77963 | + | 1.78636i | −0.483872 | + | 0.310966i | ||||
\(34\) | 0.557760 | + | 3.87931i | 0.0956551 | + | 0.665296i | ||||
\(35\) | 0.358932 | + | 2.49643i | 0.0606706 | + | 0.421973i | ||||
\(36\) | −0.239446 | + | 0.153882i | −0.0399076 | + | 0.0256471i | ||||
\(37\) | −1.42086 | + | 1.63976i | −0.233588 | + | 0.269575i | −0.860427 | − | 0.509574i | \(-0.829803\pi\) |
0.626839 | + | 0.779149i | \(0.284349\pi\) | |||||||
\(38\) | −2.49491 | + | 5.46310i | −0.404728 | + | 0.886232i | ||||
\(39\) | −2.21826 | − | 1.42559i | −0.355206 | − | 0.228277i | ||||
\(40\) | 7.24100 | − | 2.12615i | 1.14490 | − | 0.336174i | ||||
\(41\) | −8.17344 | − | 9.43265i | −1.27648 | − | 1.47313i | −0.807436 | − | 0.589955i | \(-0.799145\pi\) |
−0.469040 | − | 0.883177i | \(-0.655400\pi\) | |||||||
\(42\) | 1.25667 | + | 0.368991i | 0.193908 | + | 0.0569366i | ||||
\(43\) | −3.94480 | − | 8.63790i | −0.601576 | − | 1.31727i | −0.928189 | − | 0.372109i | \(-0.878635\pi\) |
0.326613 | − | 0.945158i | \(-0.394093\pi\) | |||||||
\(44\) | −0.133842 | + | 0.930889i | −0.0201774 | + | 0.140337i | ||||
\(45\) | −2.52210 | −0.375972 | ||||||||
\(46\) | −0.747049 | − | 6.23662i | −0.110146 | − | 0.919540i | ||||
\(47\) | 5.57125 | 0.812650 | 0.406325 | − | 0.913729i | \(-0.366810\pi\) | ||||
0.406325 | + | 0.913729i | \(0.366810\pi\) | |||||||
\(48\) | 0.476716 | − | 3.31563i | 0.0688080 | − | 0.478570i | ||||
\(49\) | 0.415415 | + | 0.909632i | 0.0593450 | + | 0.129947i | ||||
\(50\) | 1.71030 | + | 0.502190i | 0.241873 | + | 0.0710204i | ||||
\(51\) | −1.95960 | − | 2.26150i | −0.274399 | − | 0.316673i | ||||
\(52\) | −0.720124 | + | 0.211448i | −0.0998633 | + | 0.0293225i | ||||
\(53\) | 8.67612 | + | 5.57580i | 1.19176 | + | 0.765895i | 0.977511 | − | 0.210885i | \(-0.0676345\pi\) |
0.214245 | + | 0.976780i | \(0.431271\pi\) | |||||||
\(54\) | −0.544078 | + | 1.19136i | −0.0740396 | + | 0.162124i | ||||
\(55\) | −5.45722 | + | 6.29797i | −0.735852 | + | 0.849218i | ||||
\(56\) | 2.51722 | − | 1.61772i | 0.336378 | − | 0.216177i | ||||
\(57\) | −0.652596 | − | 4.53891i | −0.0864385 | − | 0.601193i | ||||
\(58\) | −1.70950 | − | 11.8898i | −0.224468 | − | 1.56121i | ||||
\(59\) | 1.24495 | − | 0.800081i | 0.162079 | − | 0.104162i | −0.457087 | − | 0.889422i | \(-0.651107\pi\) |
0.619166 | + | 0.785260i | \(0.287471\pi\) | |||||||
\(60\) | −0.470101 | + | 0.542526i | −0.0606898 | + | 0.0700397i | ||||
\(61\) | 1.38782 | − | 3.03890i | 0.177692 | − | 0.389092i | −0.799738 | − | 0.600349i | \(-0.795028\pi\) |
0.977431 | + | 0.211257i | \(0.0677557\pi\) | |||||||
\(62\) | 0.223382 | + | 0.143559i | 0.0283696 | + | 0.0182320i | ||||
\(63\) | −0.959493 | + | 0.281733i | −0.120885 | + | 0.0354950i | ||||
\(64\) | −5.75714 | − | 6.64410i | −0.719643 | − | 0.830512i | ||||
\(65\) | −6.38101 | − | 1.87363i | −0.791467 | − | 0.232396i | ||||
\(66\) | 1.79772 | + | 3.93646i | 0.221284 | + | 0.484544i | ||||
\(67\) | 1.58647 | − | 11.0342i | 0.193819 | − | 1.34804i | −0.627966 | − | 0.778241i | \(-0.716112\pi\) |
0.821785 | − | 0.569798i | \(-0.192979\pi\) | |||||||
\(68\) | −0.851723 | −0.103287 | ||||||||
\(69\) | 3.05426 | + | 3.69750i | 0.367690 | + | 0.445127i | ||||
\(70\) | 3.30325 | 0.394814 | ||||||||
\(71\) | 1.08372 | − | 7.53743i | 0.128614 | − | 0.894528i | −0.818700 | − | 0.574221i | \(-0.805305\pi\) |
0.947314 | − | 0.320307i | \(-0.103786\pi\) | |||||||
\(72\) | 1.24302 | + | 2.72183i | 0.146491 | + | 0.320770i | ||||
\(73\) | 4.67859 | + | 1.37376i | 0.547588 | + | 0.160786i | 0.543813 | − | 0.839207i | \(-0.316980\pi\) |
0.00377516 | + | 0.999993i | \(0.498798\pi\) | |||||||
\(74\) | 1.86093 | + | 2.14763i | 0.216329 | + | 0.249657i | ||||
\(75\) | −1.30585 | + | 0.383433i | −0.150787 | + | 0.0442750i | ||||
\(76\) | −1.09800 | − | 0.705640i | −0.125949 | − | 0.0809425i | ||||
\(77\) | −1.37260 | + | 3.00557i | −0.156422 | + | 0.342516i | ||||
\(78\) | −2.26159 | + | 2.61001i | −0.256074 | + | 0.295526i | ||||
\(79\) | −14.2391 | + | 9.15090i | −1.60202 | + | 1.02956i | −0.635796 | + | 0.771858i | \(0.719328\pi\) |
−0.966225 | + | 0.257699i | \(0.917036\pi\) | |||||||
\(80\) | −1.20232 | − | 8.36235i | −0.134424 | − | 0.934939i | ||||
\(81\) | −0.142315 | − | 0.989821i | −0.0158128 | − | 0.109980i | ||||
\(82\) | −13.7519 | + | 8.83779i | −1.51864 | + | 0.975970i | ||||
\(83\) | −3.75858 | + | 4.33764i | −0.412558 | + | 0.476117i | −0.923555 | − | 0.383465i | \(-0.874731\pi\) |
0.510997 | + | 0.859582i | \(0.329276\pi\) | |||||||
\(84\) | −0.118239 | + | 0.258908i | −0.0129010 | + | 0.0282492i | ||||
\(85\) | −6.34903 | − | 4.08027i | −0.688649 | − | 0.442568i | ||||
\(86\) | −11.9334 | + | 3.50395i | −1.28681 | + | 0.377841i | ||||
\(87\) | 6.00604 | + | 6.93134i | 0.643915 | + | 0.743118i | ||||
\(88\) | 9.48631 | + | 2.78543i | 1.01124 | + | 0.296928i | ||||
\(89\) | 5.48049 | + | 12.0006i | 0.580931 | + | 1.27206i | 0.940770 | + | 0.339047i | \(0.110104\pi\) |
−0.359839 | + | 0.933015i | \(0.617168\pi\) | |||||||
\(90\) | −0.470101 | + | 3.26962i | −0.0495530 | + | 0.344649i | ||||
\(91\) | −2.63685 | −0.276417 | ||||||||
\(92\) | 1.36466 | + | 0.0321892i | 0.142275 | + | 0.00335595i | ||||
\(93\) | −0.202742 | −0.0210233 | ||||||||
\(94\) | 1.03844 | − | 7.22251i | 0.107107 | − | 0.744945i | ||||
\(95\) | −4.80439 | − | 10.5202i | −0.492920 | − | 1.07935i | ||||
\(96\) | 1.53255 | + | 0.449997i | 0.156415 | + | 0.0459276i | ||||
\(97\) | −4.55992 | − | 5.26243i | −0.462990 | − | 0.534319i | 0.475458 | − | 0.879738i | \(-0.342282\pi\) |
−0.938449 | + | 0.345419i | \(0.887737\pi\) | |||||||
\(98\) | 1.25667 | − | 0.368991i | 0.126943 | − | 0.0372737i | ||||
\(99\) | −2.77963 | − | 1.78636i | −0.279364 | − | 0.179536i | ||||
\(100\) | −0.160922 | + | 0.352370i | −0.0160922 | + | 0.0352370i | ||||
\(101\) | −1.49221 | + | 1.72210i | −0.148480 | + | 0.171356i | −0.825118 | − | 0.564961i | \(-0.808891\pi\) |
0.676637 | + | 0.736317i | \(0.263437\pi\) | |||||||
\(102\) | −3.29704 | + | 2.11888i | −0.326456 | + | 0.209800i | ||||
\(103\) | −0.468013 | − | 3.25510i | −0.0461147 | − | 0.320735i | −0.999801 | − | 0.0199329i | \(-0.993655\pi\) |
0.953687 | − | 0.300802i | \(-0.0972543\pi\) | |||||||
\(104\) | 1.12287 | + | 7.80975i | 0.110107 | + | 0.765809i | ||||
\(105\) | −2.12172 | + | 1.36355i | −0.207059 | + | 0.133069i | ||||
\(106\) | 8.84558 | − | 10.2083i | 0.859159 | − | 0.991522i | ||||
\(107\) | −4.00784 | + | 8.77594i | −0.387452 | + | 0.848402i | 0.610938 | + | 0.791679i | \(0.290793\pi\) |
−0.998390 | + | 0.0567236i | \(0.981935\pi\) | |||||||
\(108\) | −0.239446 | − | 0.153882i | −0.0230407 | − | 0.0148073i | ||||
\(109\) | −12.7008 | + | 3.72928i | −1.21651 | + | 0.357201i | −0.826145 | − | 0.563458i | \(-0.809471\pi\) |
−0.390369 | + | 0.920659i | \(0.627652\pi\) | |||||||
\(110\) | 7.14744 | + | 8.24859i | 0.681482 | + | 0.786472i | ||||
\(111\) | −2.08183 | − | 0.611280i | −0.197598 | − | 0.0580201i | ||||
\(112\) | −1.39153 | − | 3.04702i | −0.131487 | − | 0.287916i | ||||
\(113\) | −1.43771 | + | 9.99948i | −0.135248 | + | 0.940672i | 0.803313 | + | 0.595558i | \(0.203069\pi\) |
−0.938561 | + | 0.345114i | \(0.887840\pi\) | |||||||
\(114\) | −6.00583 | −0.562498 | ||||||||
\(115\) | 10.0184 | + | 6.77748i | 0.934220 | + | 0.632004i | ||||
\(116\) | 2.61047 | 0.242376 | ||||||||
\(117\) | 0.375263 | − | 2.61001i | 0.0346931 | − | 0.241296i | ||||
\(118\) | −0.805168 | − | 1.76307i | −0.0741217 | − | 0.162304i | ||||
\(119\) | −2.87118 | − | 0.843054i | −0.263200 | − | 0.0772826i | ||||
\(120\) | 4.94203 | + | 5.70341i | 0.451144 | + | 0.520648i | ||||
\(121\) | 0.0792039 | − | 0.0232563i | 0.00720035 | − | 0.00211421i | ||||
\(122\) | −3.68092 | − | 2.36559i | −0.333255 | − | 0.214170i | ||||
\(123\) | 5.18487 | − | 11.3533i | 0.467504 | − | 1.02369i | ||||
\(124\) | −0.0377896 | + | 0.0436115i | −0.00339360 | + | 0.00391643i | ||||
\(125\) | 7.72099 | − | 4.96198i | 0.690587 | − | 0.443813i | ||||
\(126\) | 0.186393 | + | 1.29639i | 0.0166052 | + | 0.115492i | ||||
\(127\) | 1.32005 | + | 9.18113i | 0.117135 | + | 0.814694i | 0.960685 | + | 0.277642i | \(0.0895529\pi\) |
−0.843549 | + | 0.537052i | \(0.819538\pi\) | |||||||
\(128\) | −6.99906 | + | 4.49802i | −0.618635 | + | 0.397573i | ||||
\(129\) | 6.21858 | − | 7.17663i | 0.547516 | − | 0.631867i | ||||
\(130\) | −3.61833 | + | 7.92305i | −0.317349 | + | 0.694897i | ||||
\(131\) | −16.8739 | − | 10.8442i | −1.47428 | − | 0.947460i | −0.997662 | − | 0.0683471i | \(-0.978227\pi\) |
−0.476614 | − | 0.879113i | \(-0.658136\pi\) | |||||||
\(132\) | −0.902366 | + | 0.264959i | −0.0785409 | + | 0.0230617i | ||||
\(133\) | −3.00292 | − | 3.46555i | −0.260386 | − | 0.300501i | ||||
\(134\) | −14.0089 | − | 4.11338i | −1.21018 | − | 0.355342i | ||||
\(135\) | −1.04772 | − | 2.29418i | −0.0901732 | − | 0.197452i | ||||
\(136\) | −1.27428 | + | 8.86278i | −0.109268 | + | 0.759977i | ||||
\(137\) | 8.77044 | 0.749310 | 0.374655 | − | 0.927164i | \(-0.377761\pi\) | ||||
0.374655 | + | 0.927164i | \(0.377761\pi\) | |||||||
\(138\) | 5.36269 | − | 3.27033i | 0.456503 | − | 0.278389i | ||||
\(139\) | −0.374915 | −0.0317999 | −0.0158999 | − | 0.999874i | \(-0.505061\pi\) | ||||
−0.0158999 | + | 0.999874i | \(0.505061\pi\) | |||||||
\(140\) | −0.102163 | + | 0.710557i | −0.00863433 | + | 0.0600531i | ||||
\(141\) | 2.31438 | + | 5.06779i | 0.194906 | + | 0.426784i | ||||
\(142\) | −9.56945 | − | 2.80984i | −0.803051 | − | 0.235797i | ||||
\(143\) | −5.70552 | − | 6.58452i | −0.477119 | − | 0.550625i | ||||
\(144\) | 3.21404 | − | 0.943727i | 0.267837 | − | 0.0786439i | ||||
\(145\) | 19.4593 | + | 12.5058i | 1.61601 | + | 1.03855i | ||||
\(146\) | 2.65298 | − | 5.80923i | 0.219563 | − | 0.480775i | ||||
\(147\) | −0.654861 | + | 0.755750i | −0.0540120 | + | 0.0623332i | ||||
\(148\) | −0.519529 | + | 0.333881i | −0.0427050 | + | 0.0274449i | ||||
\(149\) | −1.40976 | − | 9.80512i | −0.115492 | − | 0.803267i | −0.962421 | − | 0.271561i | \(-0.912460\pi\) |
0.846929 | − | 0.531706i | \(-0.178449\pi\) | |||||||
\(150\) | 0.253677 | + | 1.76436i | 0.0207127 | + | 0.144060i | ||||
\(151\) | 0.955818 | − | 0.614267i | 0.0777833 | − | 0.0499883i | −0.501171 | − | 0.865348i | \(-0.667097\pi\) |
0.578954 | + | 0.815360i | \(0.303461\pi\) | |||||||
\(152\) | −8.98541 | + | 10.3697i | −0.728813 | + | 0.841095i | ||||
\(153\) | 1.24308 | − | 2.72197i | 0.100497 | − | 0.220059i | ||||
\(154\) | 3.64055 | + | 2.33964i | 0.293364 | + | 0.188533i | ||||
\(155\) | −0.490622 | + | 0.144060i | −0.0394077 | + | 0.0115711i | ||||
\(156\) | −0.491490 | − | 0.567210i | −0.0393507 | − | 0.0454131i | ||||
\(157\) | 4.65872 | + | 1.36792i | 0.371807 | + | 0.109172i | 0.462297 | − | 0.886725i | \(-0.347025\pi\) |
−0.0904906 | + | 0.995897i | \(0.528844\pi\) | |||||||
\(158\) | 9.20907 | + | 20.1651i | 0.732635 | + | 1.60425i | ||||
\(159\) | −1.46774 | + | 10.2083i | −0.116399 | + | 0.809574i | ||||
\(160\) | 4.02842 | 0.318474 | ||||||||
\(161\) | 4.56843 | + | 1.45928i | 0.360042 | + | 0.115007i | ||||
\(162\) | −1.30972 | −0.102901 | ||||||||
\(163\) | 2.38814 | − | 16.6099i | 0.187054 | − | 1.30099i | −0.652533 | − | 0.757760i | \(-0.726294\pi\) |
0.839587 | − | 0.543226i | \(-0.182797\pi\) | |||||||
\(164\) | −1.47577 | − | 3.23148i | −0.115238 | − | 0.252336i | ||||
\(165\) | −7.99585 | − | 2.34779i | −0.622476 | − | 0.182775i | ||||
\(166\) | 4.92270 | + | 5.68110i | 0.382075 | + | 0.440939i | ||||
\(167\) | −21.1766 | + | 6.21800i | −1.63869 | + | 0.481164i | −0.965953 | − | 0.258716i | \(-0.916701\pi\) |
−0.672739 | + | 0.739880i | \(0.734882\pi\) | |||||||
\(168\) | 2.51722 | + | 1.61772i | 0.194208 | + | 0.124810i | ||||
\(169\) | −2.51202 | + | 5.50056i | −0.193233 | + | 0.423120i | ||||
\(170\) | −6.47304 | + | 7.47029i | −0.496460 | + | 0.572945i | ||||
\(171\) | 3.85764 | − | 2.47915i | 0.295001 | − | 0.189586i | ||||
\(172\) | −0.384656 | − | 2.67534i | −0.0293298 | − | 0.203993i | ||||
\(173\) | 0.766000 | + | 5.32765i | 0.0582379 | + | 0.405054i | 0.997999 | + | 0.0632228i | \(0.0201379\pi\) |
−0.939762 | + | 0.341831i | \(0.888953\pi\) | |||||||
\(174\) | 10.1052 | − | 6.49422i | 0.766074 | − | 0.492326i | ||||
\(175\) | −0.891254 | + | 1.02856i | −0.0673724 | + | 0.0777520i | ||||
\(176\) | 4.59782 | − | 10.0678i | 0.346574 | − | 0.758891i | ||||
\(177\) | 1.24495 | + | 0.800081i | 0.0935762 | + | 0.0601378i | ||||
\(178\) | 16.5790 | − | 4.86803i | 1.24265 | − | 0.364874i | ||||
\(179\) | 4.47124 | + | 5.16009i | 0.334197 | + | 0.385683i | 0.897830 | − | 0.440341i | \(-0.145143\pi\) |
−0.563634 | + | 0.826025i | \(0.690597\pi\) | |||||||
\(180\) | −0.688786 | − | 0.202246i | −0.0513390 | − | 0.0150745i | ||||
\(181\) | 4.26883 | + | 9.34743i | 0.317300 | + | 0.694789i | 0.999332 | − | 0.0365324i | \(-0.0116312\pi\) |
−0.682033 | + | 0.731321i | \(0.738904\pi\) | |||||||
\(182\) | −0.491490 | + | 3.41839i | −0.0364317 | + | 0.253388i | ||||
\(183\) | 3.34080 | 0.246959 | ||||||||
\(184\) | 2.37663 | − | 14.1521i | 0.175208 | − | 1.04330i | ||||
\(185\) | −5.47224 | −0.402327 | ||||||||
\(186\) | −0.0377896 | + | 0.262832i | −0.00277087 | + | 0.0192718i | ||||
\(187\) | −4.10734 | − | 8.99383i | −0.300359 | − | 0.657694i | ||||
\(188\) | 1.52151 | + | 0.446755i | 0.110967 | + | 0.0325830i | ||||
\(189\) | −0.654861 | − | 0.755750i | −0.0476341 | − | 0.0549727i | ||||
\(190\) | −14.5337 | + | 4.26749i | −1.05439 | + | 0.309596i | ||||
\(191\) | −21.3802 | − | 13.7402i | −1.54702 | − | 0.994207i | −0.986065 | − | 0.166359i | \(-0.946799\pi\) |
−0.560951 | − | 0.827849i | \(-0.689565\pi\) | |||||||
\(192\) | 3.65208 | − | 7.99694i | 0.263566 | − | 0.577130i | ||||
\(193\) | −13.7810 | + | 15.9041i | −0.991979 | + | 1.14480i | −0.00251935 | + | 0.999997i | \(0.500802\pi\) |
−0.989460 | + | 0.144808i | \(0.953744\pi\) | |||||||
\(194\) | −7.67210 | + | 4.93056i | −0.550825 | + | 0.353994i | ||||
\(195\) | −0.946450 | − | 6.58270i | −0.0677767 | − | 0.471397i | ||||
\(196\) | 0.0405070 | + | 0.281733i | 0.00289336 | + | 0.0201238i | ||||
\(197\) | −3.66346 | + | 2.35436i | −0.261011 | + | 0.167742i | −0.664601 | − | 0.747198i | \(-0.731399\pi\) |
0.403590 | + | 0.914940i | \(0.367762\pi\) | |||||||
\(198\) | −2.83393 | + | 3.27053i | −0.201398 | + | 0.232426i | ||||
\(199\) | −1.44805 | + | 3.17078i | −0.102649 | + | 0.224771i | −0.953987 | − | 0.299847i | \(-0.903064\pi\) |
0.851338 | + | 0.524618i | \(0.175792\pi\) | |||||||
\(200\) | 3.42590 | + | 2.20169i | 0.242247 | + | 0.155683i | ||||
\(201\) | 10.6961 | − | 3.14065i | 0.754443 | − | 0.221525i | ||||
\(202\) | 1.95438 | + | 2.25547i | 0.137510 | + | 0.158695i | ||||
\(203\) | 8.79997 | + | 2.58390i | 0.617637 | + | 0.181354i | ||||
\(204\) | −0.353819 | − | 0.774755i | −0.0247723 | − | 0.0542437i | ||||
\(205\) | 4.47990 | − | 31.1584i | 0.312890 | − | 2.17619i | ||||
\(206\) | −4.30712 | −0.300091 | ||||||||
\(207\) | −2.09458 | + | 4.31425i | −0.145583 | + | 0.299861i | ||||
\(208\) | 8.83273 | 0.612439 | ||||||||
\(209\) | 2.15628 | − | 14.9973i | 0.149153 | − | 1.03738i | ||||
\(210\) | 1.37222 | + | 3.00474i | 0.0946921 | + | 0.207347i | ||||
\(211\) | −2.00966 | − | 0.590091i | −0.138351 | − | 0.0406235i | 0.211824 | − | 0.977308i | \(-0.432060\pi\) |
−0.350175 | + | 0.936684i | \(0.613878\pi\) | |||||||
\(212\) | 1.92233 | + | 2.21849i | 0.132026 | + | 0.152366i | ||||
\(213\) | 7.30648 | − | 2.14538i | 0.500632 | − | 0.146999i | ||||
\(214\) | 10.6300 | + | 6.83150i | 0.726653 | + | 0.466991i | ||||
\(215\) | 9.94917 | − | 21.7856i | 0.678528 | − | 1.48577i | ||||
\(216\) | −1.95949 | + | 2.26138i | −0.133327 | + | 0.153867i | ||||
\(217\) | −0.170557 | + | 0.109610i | −0.0115782 | + | 0.00744084i | ||||
\(218\) | 2.46727 | + | 17.1603i | 0.167105 | + | 1.16224i | ||||
\(219\) | 0.693943 | + | 4.82648i | 0.0468923 | + | 0.326143i | ||||
\(220\) | −1.99540 | + | 1.28237i | −0.134530 | + | 0.0864570i | ||||
\(221\) | 5.16717 | − | 5.96323i | 0.347581 | − | 0.401130i | ||||
\(222\) | −1.18049 | + | 2.58492i | −0.0792296 | + | 0.173489i | ||||
\(223\) | 1.31799 | + | 0.847020i | 0.0882591 | + | 0.0567207i | 0.584026 | − | 0.811735i | \(-0.301477\pi\) |
−0.495767 | + | 0.868456i | \(0.665113\pi\) | |||||||
\(224\) | 1.53255 | − | 0.449997i | 0.102398 | − | 0.0300667i | ||||
\(225\) | −0.891254 | − | 1.02856i | −0.0594169 | − | 0.0685708i | ||||
\(226\) | 12.6952 | + | 3.72766i | 0.844475 | + | 0.247960i | ||||
\(227\) | 7.70344 | + | 16.8682i | 0.511295 | + | 1.11958i | 0.972631 | + | 0.232355i | \(0.0746431\pi\) |
−0.461336 | + | 0.887226i | \(0.652630\pi\) | |||||||
\(228\) | 0.185748 | − | 1.29191i | 0.0123015 | − | 0.0855587i | ||||
\(229\) | 22.5410 | 1.48955 | 0.744775 | − | 0.667316i | \(-0.232557\pi\) | ||||
0.744775 | + | 0.667316i | \(0.232557\pi\) | |||||||
\(230\) | 10.6536 | − | 11.7245i | 0.702479 | − | 0.773089i | ||||
\(231\) | −3.30416 | −0.217398 | ||||||||
\(232\) | 3.90557 | − | 27.1638i | 0.256413 | − | 1.78339i | ||||
\(233\) | −2.49059 | − | 5.45364i | −0.163164 | − | 0.357280i | 0.810336 | − | 0.585965i | \(-0.199285\pi\) |
−0.973500 | + | 0.228686i | \(0.926557\pi\) | |||||||
\(234\) | −3.31365 | − | 0.972974i | −0.216620 | − | 0.0636053i | ||||
\(235\) | 9.20160 | + | 10.6192i | 0.600246 | + | 0.692721i | ||||
\(236\) | 0.404154 | − | 0.118670i | 0.0263082 | − | 0.00772478i | ||||
\(237\) | −14.2391 | − | 9.15090i | −0.924927 | − | 0.594415i | ||||
\(238\) | −1.62809 | + | 3.56503i | −0.105534 | + | 0.231086i | ||||
\(239\) | −0.803055 | + | 0.926775i | −0.0519453 | + | 0.0599481i | −0.781128 | − | 0.624371i | \(-0.785355\pi\) |
0.729182 | + | 0.684320i | \(0.239901\pi\) | |||||||
\(240\) | 7.10720 | − | 4.56752i | 0.458768 | − | 0.294832i | ||||
\(241\) | 0.631571 | + | 4.39267i | 0.0406831 | + | 0.282957i | 1.00000 | 0.000624904i | \(0.000198913\pi\) | |
−0.959317 | + | 0.282332i | \(0.908892\pi\) | |||||||
\(242\) | −0.0153863 | − | 0.107014i | −0.000989068 | − | 0.00687912i | ||||
\(243\) | 0.841254 | − | 0.540641i | 0.0539664 | − | 0.0346821i | ||||
\(244\) | 0.622702 | − | 0.718636i | 0.0398644 | − | 0.0460060i | ||||
\(245\) | −1.04772 | + | 2.29418i | −0.0669362 | + | 0.146570i | ||||
\(246\) | −13.7519 | − | 8.83779i | −0.876787 | − | 0.563477i | ||||
\(247\) | 11.6017 | − | 3.40657i | 0.738198 | − | 0.216755i | ||||
\(248\) | 0.397271 | + | 0.458475i | 0.0252267 | + | 0.0291132i | ||||
\(249\) | −5.50703 | − | 1.61701i | −0.348994 | − | 0.102474i | ||||
\(250\) | −4.99353 | − | 10.9343i | −0.315818 | − | 0.691546i | ||||
\(251\) | 4.09327 | − | 28.4693i | 0.258365 | − | 1.79697i | −0.286117 | − | 0.958195i | \(-0.592365\pi\) |
0.544482 | − | 0.838773i | \(-0.316726\pi\) | |||||||
\(252\) | −0.284630 | −0.0179300 | ||||||||
\(253\) | 6.24101 | + | 14.5654i | 0.392369 | + | 0.915720i | ||||
\(254\) | 12.1484 | 0.762257 | ||||||||
\(255\) | 1.07407 | − | 7.47029i | 0.0672606 | − | 0.467807i | ||||
\(256\) | −2.77755 | − | 6.08198i | −0.173597 | − | 0.380124i | ||||
\(257\) | 2.75513 | + | 0.808978i | 0.171860 | + | 0.0504626i | 0.366530 | − | 0.930406i | \(-0.380546\pi\) |
−0.194670 | + | 0.980869i | \(0.562364\pi\) | |||||||
\(258\) | −8.14461 | − | 9.39938i | −0.507061 | − | 0.585180i | ||||
\(259\) | −2.08183 | + | 0.611280i | −0.129358 | + | 0.0379831i | ||||
\(260\) | −1.59241 | − | 1.02338i | −0.0987570 | − | 0.0634673i | ||||
\(261\) | −3.80997 | + | 8.34267i | −0.235831 | + | 0.516398i | ||||
\(262\) | −17.2034 | + | 19.8538i | −1.06283 | + | 1.22657i | ||||
\(263\) | 26.2897 | − | 16.8954i | 1.62109 | − | 1.04181i | 0.665810 | − | 0.746121i | \(-0.268086\pi\) |
0.955283 | − | 0.295692i | \(-0.0955502\pi\) | |||||||
\(264\) | 1.40704 | + | 9.78616i | 0.0865972 | + | 0.602296i | ||||
\(265\) | 3.70178 | + | 25.7465i | 0.227399 | + | 1.58159i | ||||
\(266\) | −5.05243 | + | 3.24700i | −0.309784 | + | 0.199086i | ||||
\(267\) | −8.63945 | + | 9.97046i | −0.528726 | + | 0.610182i | ||||
\(268\) | 1.31809 | − | 2.88622i | 0.0805152 | − | 0.176304i | ||||
\(269\) | 12.7375 | + | 8.18588i | 0.776618 | + | 0.499102i | 0.867909 | − | 0.496722i | \(-0.165463\pi\) |
−0.0912919 | + | 0.995824i | \(0.529100\pi\) | |||||||
\(270\) | −3.16944 | + | 0.930632i | −0.192886 | + | 0.0566365i | ||||
\(271\) | −15.3456 | − | 17.7097i | −0.932176 | − | 1.07579i | −0.996962 | − | 0.0778898i | \(-0.975182\pi\) |
0.0647855 | − | 0.997899i | \(-0.479364\pi\) | |||||||
\(272\) | 9.61766 | + | 2.82400i | 0.583156 | + | 0.171230i | ||||
\(273\) | −1.09539 | − | 2.39856i | −0.0662958 | − | 0.145168i | ||||
\(274\) | 1.63475 | − | 11.3699i | 0.0987587 | − | 0.686882i | ||||
\(275\) | −4.49690 | −0.271173 | ||||||||
\(276\) | 0.537618 | + | 1.25471i | 0.0323608 | + | 0.0755245i | ||||
\(277\) | −4.56128 | −0.274060 | −0.137030 | − | 0.990567i | \(-0.543756\pi\) | ||||
−0.137030 | + | 0.990567i | \(0.543756\pi\) | |||||||
\(278\) | −0.0698814 | + | 0.486036i | −0.00419121 | + | 0.0291505i | ||||
\(279\) | −0.0842219 | − | 0.184420i | −0.00504223 | − | 0.0110410i | ||||
\(280\) | 7.24100 | + | 2.12615i | 0.432733 | + | 0.127062i | ||||
\(281\) | 4.82033 | + | 5.56296i | 0.287557 | + | 0.331858i | 0.881088 | − | 0.472953i | \(-0.156812\pi\) |
−0.593531 | + | 0.804811i | \(0.702267\pi\) | |||||||
\(282\) | 7.00121 | − | 2.05574i | 0.416916 | − | 0.122418i | ||||
\(283\) | 17.6435 | + | 11.3388i | 1.04880 | + | 0.674023i | 0.947148 | − | 0.320797i | \(-0.103951\pi\) |
0.101652 | + | 0.994820i | \(0.467587\pi\) | |||||||
\(284\) | 0.900386 | − | 1.97157i | 0.0534281 | − | 0.116991i | ||||
\(285\) | 7.57365 | − | 8.74046i | 0.448624 | − | 0.517740i | ||||
\(286\) | −9.59957 | + | 6.16927i | −0.567635 | + | 0.364797i | ||||
\(287\) | −1.77626 | − | 12.3541i | −0.104849 | − | 0.729242i | ||||
\(288\) | 0.227312 | + | 1.58099i | 0.0133945 | + | 0.0931608i | ||||
\(289\) | −6.76839 | + | 4.34978i | −0.398140 | + | 0.255869i | ||||
\(290\) | 19.8394 | − | 22.8959i | 1.16501 | − | 1.34450i | ||||
\(291\) | 2.89262 | − | 6.33395i | 0.169568 | − | 0.371302i | ||||
\(292\) | 1.16756 | + | 0.750348i | 0.0683265 | + | 0.0439108i | ||||
\(293\) | 4.43145 | − | 1.30119i | 0.258888 | − | 0.0760164i | −0.149713 | − | 0.988729i | \(-0.547835\pi\) |
0.408601 | + | 0.912713i | \(0.366017\pi\) | |||||||
\(294\) | 0.857685 | + | 0.989821i | 0.0500212 | + | 0.0577276i | ||||
\(295\) | 3.58120 | + | 1.05154i | 0.208506 | + | 0.0612228i | ||||
\(296\) | 2.69699 | + | 5.90559i | 0.156760 | + | 0.343256i | ||||
\(297\) | 0.470231 | − | 3.27053i | 0.0272855 | − | 0.189775i | ||||
\(298\) | −12.9740 | −0.751566 | ||||||||
\(299\) | −8.50436 | + | 9.35918i | −0.491820 | + | 0.541256i | ||||
\(300\) | −0.387376 | −0.0223652 | ||||||||
\(301\) | 1.35143 | − | 9.39938i | 0.0778950 | − | 0.541771i | ||||
\(302\) | −0.618172 | − | 1.35361i | −0.0355718 | − | 0.0778914i | ||||
\(303\) | −2.18637 | − | 0.641975i | −0.125603 | − | 0.0368805i | ||||
\(304\) | 10.0590 | + | 11.6086i | 0.576920 | + | 0.665802i | ||||
\(305\) | 8.08453 | − | 2.37383i | 0.462919 | − | 0.135925i | ||||
\(306\) | −3.29704 | − | 2.11888i | −0.188479 | − | 0.121128i | ||||
\(307\) | −10.4397 | + | 22.8598i | −0.595827 | + | 1.30468i | 0.336029 | + | 0.941852i | \(0.390916\pi\) |
−0.931856 | + | 0.362828i | \(0.881811\pi\) | |||||||
\(308\) | −0.615871 | + | 0.710753i | −0.0350925 | + | 0.0404989i | ||||
\(309\) | 2.76653 | − | 1.77794i | 0.157382 | − | 0.101143i | ||||
\(310\) | 0.0953090 | + | 0.662889i | 0.00541319 | + | 0.0376496i | ||||
\(311\) | 2.43854 | + | 16.9604i | 0.138277 | + | 0.961737i | 0.934304 | + | 0.356476i | \(0.116022\pi\) |
−0.796027 | + | 0.605261i | \(0.793069\pi\) | |||||||
\(312\) | −6.63754 | + | 4.26569i | −0.375777 | + | 0.241497i | ||||
\(313\) | 2.17026 | − | 2.50461i | 0.122670 | − | 0.141569i | −0.691092 | − | 0.722767i | \(-0.742870\pi\) |
0.813762 | + | 0.581198i | \(0.197416\pi\) | |||||||
\(314\) | 2.64172 | − | 5.78455i | 0.149081 | − | 0.326441i | ||||
\(315\) | −2.12172 | − | 1.36355i | −0.119546 | − | 0.0768273i | ||||
\(316\) | −4.62250 | + | 1.35729i | −0.260036 | + | 0.0763534i | ||||
\(317\) | −2.34826 | − | 2.71004i | −0.131891 | − | 0.152211i | 0.685962 | − | 0.727637i | \(-0.259382\pi\) |
−0.817854 | + | 0.575426i | \(0.804836\pi\) | |||||||
\(318\) | 12.9604 | + | 3.80552i | 0.726784 | + | 0.213403i | ||||
\(319\) | 12.5887 | + | 27.5655i | 0.704834 | + | 1.54337i | ||||
\(320\) | 3.15552 | − | 21.9471i | 0.176399 | − | 1.22688i | ||||
\(321\) | −9.64779 | −0.538487 | ||||||||
\(322\) | 2.74331 | − | 5.65046i | 0.152879 | − | 0.314888i | ||||
\(323\) | 13.7219 | 0.763504 | ||||||||
\(324\) | 0.0405070 | − | 0.281733i | 0.00225039 | − | 0.0156518i | ||||
\(325\) | −1.49080 | − | 3.26440i | −0.0826948 | − | 0.181076i | ||||
\(326\) | −21.0878 | − | 6.19192i | −1.16794 | − | 0.342939i | ||||
\(327\) | −8.66837 | − | 10.0038i | −0.479362 | − | 0.553213i | ||||
\(328\) | −35.8337 | + | 10.5217i | −1.97859 | + | 0.580966i | ||||
\(329\) | 4.68683 | + | 3.01204i | 0.258393 | + | 0.166059i | ||||
\(330\) | −4.53402 | + | 9.92813i | −0.249590 | + | 0.546526i | ||||
\(331\) | 12.3090 | − | 14.2053i | 0.676562 | − | 0.780794i | −0.308826 | − | 0.951118i | \(-0.599936\pi\) |
0.985388 | + | 0.170325i | \(0.0544816\pi\) | |||||||
\(332\) | −1.37430 | + | 0.883211i | −0.0754247 | + | 0.0484725i | ||||
\(333\) | −0.308783 | − | 2.14763i | −0.0169212 | − | 0.117689i | ||||
\(334\) | 4.11380 | + | 28.6121i | 0.225097 | + | 1.56558i | ||||
\(335\) | 23.6522 | − | 15.2004i | 1.29226 | − | 0.830484i | ||||
\(336\) | 2.19360 | − | 2.53155i | 0.119671 | − | 0.138108i | ||||
\(337\) | −12.3013 | + | 26.9360i | −0.670093 | + | 1.46730i | 0.202715 | + | 0.979238i | \(0.435023\pi\) |
−0.872809 | + | 0.488062i | \(0.837704\pi\) | |||||||
\(338\) | 6.66266 | + | 4.28183i | 0.362401 | + | 0.232901i | ||||
\(339\) | −9.69309 | + | 2.84615i | −0.526456 | + | 0.154582i | ||||
\(340\) | −1.40673 | − | 1.62345i | −0.0762904 | − | 0.0880439i | ||||
\(341\) | −0.642755 | − | 0.188730i | −0.0348071 | − | 0.0102203i | ||||
\(342\) | −2.49491 | − | 5.46310i | −0.134909 | − | 0.295411i | ||||
\(343\) | −0.142315 | + | 0.989821i | −0.00768428 | + | 0.0534453i | ||||
\(344\) | −28.4143 | −1.53200 | ||||||||
\(345\) | −2.00322 | + | 11.9285i | −0.107850 | + | 0.642210i | ||||
\(346\) | 7.04949 | 0.378983 | ||||||||
\(347\) | 2.07532 | − | 14.4342i | 0.111409 | − | 0.774867i | −0.855142 | − | 0.518393i | \(-0.826530\pi\) |
0.966551 | − | 0.256473i | \(-0.0825606\pi\) | |||||||
\(348\) | 1.08443 | + | 2.37457i | 0.0581316 | + | 0.127290i | ||||
\(349\) | −4.53253 | − | 1.33087i | −0.242621 | − | 0.0712399i | 0.158161 | − | 0.987413i | \(-0.449443\pi\) |
−0.400782 | + | 0.916173i | \(0.631262\pi\) | |||||||
\(350\) | 1.16729 | + | 1.34713i | 0.0623945 | + | 0.0720071i | ||||
\(351\) | 2.53004 | − | 0.742887i | 0.135043 | − | 0.0396523i | ||||
\(352\) | 4.43976 | + | 2.85326i | 0.236640 | + | 0.152079i | ||||
\(353\) | −3.40829 | + | 7.46310i | −0.181405 | + | 0.397221i | −0.978387 | − | 0.206782i | \(-0.933701\pi\) |
0.796982 | + | 0.604003i | \(0.206428\pi\) | |||||||
\(354\) | 1.26927 | − | 1.46481i | 0.0674608 | − | 0.0778539i | ||||
\(355\) | 16.1568 | − | 10.3833i | 0.857514 | − | 0.551091i | ||||
\(356\) | 0.534401 | + | 3.71684i | 0.0283232 | + | 0.196992i | ||||
\(357\) | −0.425862 | − | 2.96193i | −0.0225390 | − | 0.156762i | ||||
\(358\) | 7.52290 | − | 4.83467i | 0.397598 | − | 0.255520i | ||||
\(359\) | −6.56431 | + | 7.57562i | −0.346451 | + | 0.399826i | −0.902055 | − | 0.431621i | \(-0.857942\pi\) |
0.555604 | + | 0.831447i | \(0.312487\pi\) | |||||||
\(360\) | −3.13501 | + | 6.86472i | −0.165230 | + | 0.361802i | ||||
\(361\) | 1.70568 | + | 1.09618i | 0.0897729 | + | 0.0576935i | ||||
\(362\) | 12.9136 | − | 3.79177i | 0.678724 | − | 0.199291i | ||||
\(363\) | 0.0540572 | + | 0.0623853i | 0.00283727 | + | 0.00327438i | ||||
\(364\) | −0.720124 | − | 0.211448i | −0.0377448 | − | 0.0110829i | ||||
\(365\) | 5.10879 | + | 11.1867i | 0.267406 | + | 0.585538i | ||||
\(366\) | 0.622702 | − | 4.33099i | 0.0325491 | − | 0.226384i | ||||
\(367\) | −12.0408 | −0.628523 | −0.314262 | − | 0.949336i | \(-0.601757\pi\) | ||||
−0.314262 | + | 0.949336i | \(0.601757\pi\) | |||||||
\(368\) | −15.3030 | − | 4.88818i | −0.797723 | − | 0.254814i | ||||
\(369\) | 12.4812 | 0.649744 | ||||||||
\(370\) | −1.01999 | + | 7.09416i | −0.0530265 | + | 0.368808i | ||||
\(371\) | 4.28431 | + | 9.38132i | 0.222430 | + | 0.487054i | ||||
\(372\) | −0.0553688 | − | 0.0162577i | −0.00287074 | − | 0.000842924i | ||||
\(373\) | 22.7774 | + | 26.2865i | 1.17937 | + | 1.36106i | 0.918370 | + | 0.395722i | \(0.129506\pi\) |
0.260997 | + | 0.965340i | \(0.415949\pi\) | |||||||
\(374\) | −12.4251 | + | 3.64834i | −0.642486 | + | 0.188651i | ||||
\(375\) | 7.72099 | + | 4.96198i | 0.398710 | + | 0.256236i | ||||
\(376\) | 6.92515 | − | 15.1640i | 0.357138 | − | 0.782022i | ||||
\(377\) | −15.8370 | + | 18.2769i | −0.815648 | + | 0.941308i | ||||
\(378\) | −1.10181 | + | 0.708089i | −0.0566709 | + | 0.0364202i | ||||
\(379\) | 0.816121 | + | 5.67625i | 0.0419213 | + | 0.291569i | 0.999987 | + | 0.00502178i | \(0.00159849\pi\) |
−0.958066 | + | 0.286547i | \(0.907492\pi\) | |||||||
\(380\) | −0.468475 | − | 3.25832i | −0.0240323 | − | 0.167148i | ||||
\(381\) | −7.80308 | + | 5.01474i | −0.399764 | + | 0.256913i | ||||
\(382\) | −21.7978 | + | 25.1560i | −1.11527 | + | 1.28709i | ||||
\(383\) | −5.00784 | + | 10.9656i | −0.255889 | + | 0.560318i | −0.993358 | − | 0.115062i | \(-0.963293\pi\) |
0.737470 | + | 0.675380i | \(0.236021\pi\) | |||||||
\(384\) | −6.99906 | − | 4.49802i | −0.357169 | − | 0.229539i | ||||
\(385\) | −7.99585 | + | 2.34779i | −0.407506 | + | 0.119655i | ||||
\(386\) | 18.0493 | + | 20.8300i | 0.918685 | + | 1.06022i | ||||
\(387\) | 9.11138 | + | 2.67534i | 0.463158 | + | 0.135995i | ||||
\(388\) | −0.823324 | − | 1.80283i | −0.0417980 | − | 0.0915248i | ||||
\(389\) | −0.186520 | + | 1.29728i | −0.00945694 | + | 0.0657745i | −0.994003 | − | 0.109349i | \(-0.965123\pi\) |
0.984546 | + | 0.175124i | \(0.0560325\pi\) | |||||||
\(390\) | −8.71017 | −0.441056 | ||||||||
\(391\) | −12.2524 | + | 7.47189i | −0.619632 | + | 0.377870i | ||||
\(392\) | 2.99223 | 0.151130 | ||||||||
\(393\) | 2.85455 | − | 19.8538i | 0.143993 | − | 1.00149i | ||||
\(394\) | 2.36933 | + | 5.18811i | 0.119365 | + | 0.261373i | ||||
\(395\) | −40.9599 | − | 12.0269i | −2.06092 | − | 0.605139i | ||||
\(396\) | −0.615871 | − | 0.710753i | −0.0309487 | − | 0.0357167i | ||||
\(397\) | 6.06013 | − | 1.77941i | 0.304149 | − | 0.0893062i | −0.126097 | − | 0.992018i | \(-0.540245\pi\) |
0.430246 | + | 0.902712i | \(0.358427\pi\) | |||||||
\(398\) | 3.84067 | + | 2.46825i | 0.192515 | + | 0.123722i | ||||
\(399\) | 1.90492 | − | 4.17119i | 0.0953652 | − | 0.208821i | ||||
\(400\) | 2.98546 | − | 3.44540i | 0.149273 | − | 0.172270i | ||||
\(401\) | −3.11533 | + | 2.00210i | −0.155572 | + | 0.0999801i | −0.616111 | − | 0.787660i | \(-0.711293\pi\) |
0.460539 | + | 0.887640i | \(0.347656\pi\) | |||||||
\(402\) | −2.07784 | − | 14.4517i | −0.103633 | − | 0.720785i | ||||
\(403\) | −0.0760814 | − | 0.529158i | −0.00378988 | − | 0.0263592i | ||||
\(404\) | −0.545617 | + | 0.350647i | −0.0271455 | + | 0.0174453i | ||||
\(405\) | 1.65162 | − | 1.90608i | 0.0820698 | − | 0.0947136i | ||||
\(406\) | 4.99000 | − | 10.9266i | 0.247649 | − | 0.542277i | ||||
\(407\) | −6.03102 | − | 3.87590i | −0.298946 | − | 0.192121i | ||||
\(408\) | −8.59122 | + | 2.52261i | −0.425329 | + | 0.124888i | ||||
\(409\) | 3.53251 | + | 4.07673i | 0.174671 | + | 0.201581i | 0.836334 | − | 0.548220i | \(-0.184694\pi\) |
−0.661663 | + | 0.749801i | \(0.730149\pi\) | |||||||
\(410\) | −39.5584 | − | 11.6154i | −1.95365 | − | 0.573643i | ||||
\(411\) | 3.64337 | + | 7.97788i | 0.179714 | + | 0.393520i | ||||
\(412\) | 0.133210 | − | 0.926499i | 0.00656281 | − | 0.0456453i | ||||
\(413\) | 1.47988 | 0.0728199 | ||||||||
\(414\) | 5.20254 | + | 3.51954i | 0.255691 | + | 0.172976i | ||||
\(415\) | −14.4756 | −0.710581 | ||||||||
\(416\) | −0.599388 | + | 4.16884i | −0.0293874 | + | 0.204394i | ||||
\(417\) | −0.155745 | − | 0.341035i | −0.00762688 | − | 0.0167005i | ||||
\(418\) | −19.0404 | − | 5.59076i | −0.931296 | − | 0.273453i | ||||
\(419\) | −16.6696 | − | 19.2377i | −0.814363 | − | 0.939825i | 0.184713 | − | 0.982792i | \(-0.440864\pi\) |
−0.999076 | + | 0.0429670i | \(0.986319\pi\) | |||||||
\(420\) | −0.688786 | + | 0.202246i | −0.0336093 | + | 0.00986858i | ||||
\(421\) | 17.7987 | + | 11.4385i | 0.867456 | + | 0.557480i | 0.896974 | − | 0.442084i | \(-0.145761\pi\) |
−0.0295176 | + | 0.999564i | \(0.509397\pi\) | |||||||
\(422\) | −1.13957 | + | 2.49532i | −0.0554736 | + | 0.121470i | ||||
\(423\) | −3.64839 | + | 4.21047i | −0.177391 | + | 0.204720i | ||||
\(424\) | 25.9609 | − | 16.6841i | 1.26077 | − | 0.810250i | ||||
\(425\) | −0.579590 | − | 4.03114i | −0.0281142 | − | 0.195539i | ||||
\(426\) | −1.41937 | − | 9.87193i | −0.0687687 | − | 0.478297i | ||||
\(427\) | 2.81046 | − | 1.80618i | 0.136008 | − | 0.0874069i | ||||
\(428\) | −1.79828 | + | 2.07533i | −0.0869231 | + | 0.100315i | ||||
\(429\) | 3.61933 | − | 7.92523i | 0.174743 | − | 0.382634i | ||||
\(430\) | −26.3882 | − | 16.9587i | −1.27255 | − | 0.817821i | ||||
\(431\) | −29.9982 | + | 8.80828i | −1.44496 | + | 0.424280i | −0.907874 | − | 0.419244i | \(-0.862295\pi\) |
−0.537091 | + | 0.843524i | \(0.680477\pi\) | |||||||
\(432\) | 2.19360 | + | 2.53155i | 0.105540 | + | 0.121799i | ||||
\(433\) | −1.87865 | − | 0.551623i | −0.0902823 | − | 0.0265093i | 0.236279 | − | 0.971685i | \(-0.424072\pi\) |
−0.326562 | + | 0.945176i | \(0.605890\pi\) | |||||||
\(434\) | 0.110307 | + | 0.241539i | 0.00529492 | + | 0.0115942i | ||||
\(435\) | −3.29194 | + | 22.8959i | −0.157836 | + | 1.09778i | ||||
\(436\) | −3.76763 | −0.180437 | ||||||||
\(437\) | −21.9856 | − | 0.518590i | −1.05171 | − | 0.0248075i | ||||
\(438\) | 6.38635 | 0.305151 | ||||||||
\(439\) | −0.629598 | + | 4.37895i | −0.0300491 | + | 0.208996i | −0.999314 | − | 0.0370216i | \(-0.988213\pi\) |
0.969265 | + | 0.246017i | \(0.0791221\pi\) | |||||||
\(440\) | 10.3586 | + | 22.6821i | 0.493825 | + | 1.08133i | ||||
\(441\) | −0.959493 | − | 0.281733i | −0.0456901 | − | 0.0134158i | ||||
\(442\) | −6.76755 | − | 7.81017i | −0.321900 | − | 0.371492i | ||||
\(443\) | 18.3412 | − | 5.38546i | 0.871416 | − | 0.255871i | 0.184698 | − | 0.982795i | \(-0.440869\pi\) |
0.686717 | + | 0.726924i | \(0.259051\pi\) | |||||||
\(444\) | −0.519529 | − | 0.333881i | −0.0246558 | − | 0.0158453i | ||||
\(445\) | −13.8223 | + | 30.2667i | −0.655242 | + | 1.43478i | ||||
\(446\) | 1.34373 | − | 1.55075i | 0.0636276 | − | 0.0734302i | ||||
\(447\) | 8.33342 | − | 5.35556i | 0.394157 | − | 0.253309i | ||||
\(448\) | −1.25115 | − | 8.70192i | −0.0591111 | − | 0.411127i | ||||
\(449\) | 2.03194 | + | 14.1324i | 0.0958930 | + | 0.666951i | 0.979902 | + | 0.199480i | \(0.0639254\pi\) |
−0.884009 | + | 0.467470i | \(0.845166\pi\) | |||||||
\(450\) | −1.49954 | + | 0.963696i | −0.0706890 | + | 0.0454291i | ||||
\(451\) | 27.0063 | − | 31.1669i | 1.27168 | − | 1.46759i | ||||
\(452\) | −1.19449 | + | 2.61557i | −0.0561841 | + | 0.123026i | ||||
\(453\) | 0.955818 | + | 0.614267i | 0.0449082 | + | 0.0288608i | ||||
\(454\) | 23.3036 | − | 6.84256i | 1.09369 | − | 0.321137i | ||||
\(455\) | −4.35508 | − | 5.02603i | −0.204169 | − | 0.235624i | ||||
\(456\) | −13.1653 | − | 3.86568i | −0.616522 | − | 0.181027i | ||||
\(457\) | 6.13016 | + | 13.4232i | 0.286757 | + | 0.627910i | 0.997113 | − | 0.0759326i | \(-0.0241934\pi\) |
−0.710356 | + | 0.703842i | \(0.751466\pi\) | |||||||
\(458\) | 4.20147 | − | 29.2219i | 0.196322 | − | 1.36545i | ||||
\(459\) | 2.99239 | 0.139673 | ||||||||
\(460\) | 2.19254 | + | 2.65430i | 0.102228 | + | 0.123757i | ||||
\(461\) | 31.1011 | 1.44852 | 0.724261 | − | 0.689526i | \(-0.242181\pi\) | ||||
0.724261 | + | 0.689526i | \(0.242181\pi\) | |||||||
\(462\) | −0.615871 | + | 4.28348i | −0.0286529 | + | 0.199285i | ||||
\(463\) | −10.4127 | − | 22.8006i | −0.483919 | − | 1.05964i | −0.981367 | − | 0.192142i | \(-0.938457\pi\) |
0.497448 | − | 0.867494i | \(-0.334271\pi\) | |||||||
\(464\) | −29.4775 | − | 8.65537i | −1.36846 | − | 0.401815i | ||||
\(465\) | −0.334853 | − | 0.386441i | −0.0155284 | − | 0.0179208i | ||||
\(466\) | −7.53427 | + | 2.21226i | −0.349019 | + | 0.102481i | ||||
\(467\) | −0.0524443 | − | 0.0337039i | −0.00242683 | − | 0.00155963i | 0.539427 | − | 0.842032i | \(-0.318641\pi\) |
−0.541854 | + | 0.840473i | \(0.682277\pi\) | |||||||
\(468\) | 0.311780 | − | 0.682702i | 0.0144120 | − | 0.0315579i | ||||
\(469\) | 7.30015 | − | 8.42482i | 0.337090 | − | 0.389022i | ||||
\(470\) | 15.4818 | − | 9.94952i | 0.714120 | − | 0.458937i | ||||
\(471\) | 0.690996 | + | 4.80598i | 0.0318394 | + | 0.221448i | ||||
\(472\) | −0.630188 | − | 4.38305i | −0.0290068 | − | 0.201746i | ||||
\(473\) | 26.3955 | − | 16.9634i | 1.21367 | − | 0.779976i | ||||
\(474\) | −14.5172 | + | 16.7537i | −0.666797 | + | 0.769525i | ||||
\(475\) | 2.59256 | − | 5.67692i | 0.118955 | − | 0.260475i | ||||
\(476\) | −0.716515 | − | 0.460476i | −0.0328414 | − | 0.0211059i | ||||
\(477\) | −9.89556 | + | 2.90560i | −0.453086 | + | 0.133038i | ||||
\(478\) | 1.05178 | + | 1.21382i | 0.0481072 | + | 0.0555187i | ||||
\(479\) | 15.1748 | + | 4.45571i | 0.693352 | + | 0.203587i | 0.609376 | − | 0.792881i | \(-0.291420\pi\) |
0.0839760 | + | 0.996468i | \(0.473238\pi\) | |||||||
\(480\) | 1.67347 | + | 3.66438i | 0.0763829 | + | 0.167255i | ||||
\(481\) | 0.814214 | − | 5.66298i | 0.0371250 | − | 0.258210i | ||||
\(482\) | 5.81234 | 0.264745 | ||||||||
\(483\) | 0.570388 | + | 4.76179i | 0.0259535 | + | 0.216669i | ||||
\(484\) | 0.0234955 | 0.00106798 | ||||||||
\(485\) | 2.49931 | − | 17.3831i | 0.113488 | − | 0.789327i | ||||
\(486\) | −0.544078 | − | 1.19136i | −0.0246799 | − | 0.0540414i | ||||
\(487\) | 7.46889 | + | 2.19306i | 0.338448 | + | 0.0993772i | 0.446540 | − | 0.894764i | \(-0.352656\pi\) |
−0.108092 | + | 0.994141i | \(0.534474\pi\) | |||||||
\(488\) | −6.54628 | − | 7.55481i | −0.296336 | − | 0.341990i | ||||
\(489\) | 16.1009 | − | 4.72766i | 0.728110 | − | 0.213792i | ||||
\(490\) | 2.77887 | + | 1.78587i | 0.125536 | + | 0.0806774i | ||||
\(491\) | −4.49390 | + | 9.84026i | −0.202807 | + | 0.444085i | −0.983519 | − | 0.180806i | \(-0.942129\pi\) |
0.780712 | + | 0.624891i | \(0.214857\pi\) | |||||||
\(492\) | 2.32640 | − | 2.68481i | 0.104882 | − | 0.121041i | ||||
\(493\) | −23.0879 | + | 14.8377i | −1.03983 | + | 0.668256i | ||||
\(494\) | −2.25377 | − | 15.6753i | −0.101402 | − | 0.705265i | ||||
\(495\) | −1.18597 | − | 8.24859i | −0.0533053 | − | 0.370746i | ||||
\(496\) | 0.571320 | − | 0.367165i | 0.0256530 | − | 0.0164862i | ||||
\(497\) | 4.98672 | − | 5.75499i | 0.223685 | − | 0.258146i | ||||
\(498\) | −3.12274 | + | 6.83786i | −0.139934 | + | 0.306412i | ||||
\(499\) | −23.4986 | − | 15.1016i | −1.05194 | − | 0.676043i | −0.104031 | − | 0.994574i | \(-0.533174\pi\) |
−0.947912 | + | 0.318532i | \(0.896810\pi\) | |||||||
\(500\) | 2.50650 | − | 0.735976i | 0.112094 | − | 0.0329138i | ||||
\(501\) | −14.4532 | − | 16.6798i | −0.645720 | − | 0.745200i | ||||
\(502\) | −36.1444 | − | 10.6130i | −1.61320 | − | 0.473679i | ||||
\(503\) | 5.26285 | + | 11.5240i | 0.234659 | + | 0.513831i | 0.989926 | − | 0.141586i | \(-0.0452201\pi\) |
−0.755267 | + | 0.655417i | \(0.772493\pi\) | |||||||
\(504\) | −0.425839 | + | 2.96177i | −0.0189684 | + | 0.131928i | ||||
\(505\) | −5.74703 | −0.255739 | ||||||||
\(506\) | 20.0457 | − | 5.37589i | 0.891142 | − | 0.238988i | ||||
\(507\) | −6.04702 | −0.268558 | ||||||||
\(508\) | −0.375725 | + | 2.61322i | −0.0166701 | + | 0.115943i | ||||
\(509\) | −18.0043 | − | 39.4239i | −0.798026 | − | 1.74743i | −0.652092 | − | 0.758140i | \(-0.726108\pi\) |
−0.145934 | − | 0.989294i | \(-0.546619\pi\) | |||||||
\(510\) | −9.48421 | − | 2.78482i | −0.419968 | − | 0.123314i | ||||
\(511\) | 3.19317 | + | 3.68512i | 0.141258 | + | 0.163020i | ||||
\(512\) | −24.3679 | + | 7.15506i | −1.07692 | + | 0.316212i | ||||
\(513\) | 3.85764 | + | 2.47915i | 0.170319 | + | 0.109457i | ||||
\(514\) | 1.56229 | − | 3.42093i | 0.0689095 | − | 0.150891i | ||||
\(515\) | 5.43149 | − | 6.26827i | 0.239340 | − | 0.276213i | ||||
\(516\) | 2.27379 | − | 1.46127i | 0.100098 | − | 0.0643290i | ||||
\(517\) | 2.61977 | + | 18.2209i | 0.115217 | + | 0.801355i | ||||
\(518\) | 0.404419 | + | 2.81280i | 0.0177692 | + | 0.123587i | ||||
\(519\) | −4.52799 | + | 2.90996i | −0.198757 | + | 0.127733i | ||||
\(520\) | −13.0314 | + | 15.0390i | −0.571465 | + | 0.659506i | ||||
\(521\) | 4.15968 | − | 9.10843i | 0.182239 | − | 0.399047i | −0.796361 | − | 0.604822i | \(-0.793244\pi\) |
0.978599 | + | 0.205775i | \(0.0659714\pi\) | |||||||
\(522\) | 10.1052 | + | 6.49422i | 0.442293 | + | 0.284244i | ||||
\(523\) | 4.27279 | − | 1.25461i | 0.186836 | − | 0.0548600i | −0.186976 | − | 0.982364i | \(-0.559869\pi\) |
0.373812 | + | 0.927504i | \(0.378050\pi\) | |||||||
\(524\) | −3.73867 | − | 4.31465i | −0.163324 | − | 0.188486i | ||||
\(525\) | −1.30585 | − | 0.383433i | −0.0569921 | − | 0.0167344i | ||||
\(526\) | −17.0028 | − | 37.2309i | −0.741357 | − | 1.62334i | ||||
\(527\) | 0.0863399 | − | 0.600507i | 0.00376102 | − | 0.0261585i | ||||
\(528\) | 11.0680 | 0.481674 | ||||||||
\(529\) | 19.9136 | − | 11.5086i | 0.865809 | − | 0.500375i | ||||
\(530\) | 34.0674 | 1.47979 | ||||||||
\(531\) | −0.210608 | + | 1.46481i | −0.00913962 | + | 0.0635674i | ||||
\(532\) | −0.542197 | − | 1.18724i | −0.0235072 | − | 0.0514736i | ||||
\(533\) | 31.5779 | + | 9.27210i | 1.36779 | + | 0.401619i | ||||
\(534\) | 11.3153 | + | 13.0585i | 0.489660 | + | 0.565098i | ||||
\(535\) | −23.3470 | + | 6.85531i | −1.00938 | + | 0.296381i | ||||
\(536\) | −28.0611 | − | 18.0338i | −1.21205 | − | 0.778940i | ||||
\(537\) | −2.83636 | + | 6.21077i | −0.122398 | + | 0.268014i | ||||
\(538\) | 12.9863 | − | 14.9870i | 0.559878 | − | 0.646133i | ||||
\(539\) | −2.77963 | + | 1.78636i | −0.119727 | + | 0.0769441i | ||||
\(540\) | −0.102163 | − | 0.710557i | −0.00439638 | − | 0.0305775i | ||||
\(541\) | −5.70598 | − | 39.6860i | −0.245319 | − | 1.70623i | −0.624594 | − | 0.780949i | \(-0.714736\pi\) |
0.379275 | − | 0.925284i | \(-0.376173\pi\) | |||||||
\(542\) | −25.8190 | + | 16.5929i | −1.10902 | + | 0.712725i | ||||
\(543\) | −6.72939 | + | 7.76613i | −0.288786 | + | 0.333276i | ||||
\(544\) | −1.98551 | + | 4.34767i | −0.0851282 | + | 0.186405i | ||||
\(545\) | −28.0852 | − | 18.0493i | −1.20304 | − | 0.773145i | ||||
\(546\) | −3.31365 | + | 0.972974i | −0.141811 | + | 0.0416395i | ||||
\(547\) | 27.1099 | + | 31.2865i | 1.15914 | + | 1.33772i | 0.931402 | + | 0.363993i | \(0.118587\pi\) |
0.227735 | + | 0.973723i | \(0.426868\pi\) | |||||||
\(548\) | 2.39521 | + | 0.703297i | 0.102318 | + | 0.0300434i | ||||
\(549\) | 1.38782 | + | 3.03890i | 0.0592307 | + | 0.129697i | ||||
\(550\) | −0.838189 | + | 5.82974i | −0.0357405 | + | 0.248581i | ||||
\(551\) | −42.0565 | −1.79167 | ||||||||
\(552\) | 13.8604 | − | 3.71711i | 0.589940 | − | 0.158211i | ||||
\(553\) | −16.9260 | −0.719768 | ||||||||
\(554\) | −0.850189 | + | 5.91319i | −0.0361211 | + | 0.251228i | ||||
\(555\) | −2.27325 | − | 4.97772i | −0.0964941 | − | 0.211293i | ||||
\(556\) | −0.102389 | − | 0.0300642i | −0.00434227 | − | 0.00127501i | ||||
\(557\) | 18.2912 | + | 21.1092i | 0.775024 | + | 0.894425i | 0.996740 | − | 0.0806863i | \(-0.0257112\pi\) |
−0.221716 | + | 0.975111i | \(0.571166\pi\) | |||||||
\(558\) | −0.254779 | + | 0.0748099i | −0.0107857 | + | 0.00316695i | ||||
\(559\) | 21.0647 | + | 13.5374i | 0.890941 | + | 0.572573i | ||||
\(560\) | 3.50957 | − | 7.68488i | 0.148306 | − | 0.324746i | ||||
\(561\) | 6.47482 | − | 7.47234i | 0.273367 | − | 0.315483i | ||||
\(562\) | 8.11024 | − | 5.21213i | 0.342110 | − | 0.219861i | ||||
\(563\) | 2.27463 | + | 15.8204i | 0.0958642 | + | 0.666750i | 0.979923 | + | 0.199375i | \(0.0638912\pi\) |
−0.884059 | + | 0.467375i | \(0.845200\pi\) | |||||||
\(564\) | 0.225675 | + | 1.56960i | 0.00950262 | + | 0.0660922i | ||||
\(565\) | −21.4343 | + | 13.7750i | −0.901748 | + | 0.579518i | ||||
\(566\) | 17.9882 | − | 20.7594i | 0.756099 | − | 0.872585i | ||||
\(567\) | 0.415415 | − | 0.909632i | 0.0174458 | − | 0.0382010i | ||||
\(568\) | −19.1685 | − | 12.3188i | −0.804292 | − | 0.516887i | ||||
\(569\) | 12.5407 | − | 3.68229i | 0.525734 | − | 0.154370i | −0.00808620 | − | 0.999967i | \(-0.502574\pi\) |
0.533821 | + | 0.845598i | \(0.320756\pi\) | |||||||
\(570\) | −9.91938 | − | 11.4476i | −0.415477 | − | 0.479486i | ||||
\(571\) | −9.89261 | − | 2.90473i | −0.413993 | − | 0.121559i | 0.0681020 | − | 0.997678i | \(-0.478306\pi\) |
−0.482095 | + | 0.876119i | \(0.660124\pi\) | |||||||
\(572\) | −1.03017 | − | 2.25576i | −0.0430735 | − | 0.0943179i | ||||
\(573\) | 3.61689 | − | 25.1560i | 0.151098 | − | 1.05091i | ||||
\(574\) | −16.3469 | −0.682305 | ||||||||
\(575\) | 0.776288 | + | 6.48071i | 0.0323734 | + | 0.270264i | ||||
\(576\) | 8.79140 | 0.366308 | ||||||||
\(577\) | −3.17575 | + | 22.0878i | −0.132208 | + | 0.919529i | 0.810459 | + | 0.585795i | \(0.199218\pi\) |
−0.942667 | + | 0.333733i | \(0.891691\pi\) | |||||||
\(578\) | 4.37743 | + | 9.58524i | 0.182077 | + | 0.398693i | ||||
\(579\) | −20.1918 | − | 5.92883i | −0.839141 | − | 0.246394i | ||||
\(580\) | 4.31152 | + | 4.97576i | 0.179026 | + | 0.206607i | ||||
\(581\) | −5.50703 | + | 1.61701i | −0.228470 | + | 0.0670848i | ||||
\(582\) | −7.67210 | − | 4.93056i | −0.318019 | − | 0.204378i | ||||
\(583\) | −14.1560 | + | 30.9974i | −0.586283 | + | 1.28378i | ||||
\(584\) | 9.55470 | − | 11.0267i | 0.395376 | − | 0.456289i | ||||
\(585\) | 5.59467 | − | 3.59548i | 0.231311 | − | 0.148655i | ||||
\(586\) | −0.860861 | − | 5.98742i | −0.0355618 | − | 0.247338i | ||||
\(587\) | 4.01482 | + | 27.9237i | 0.165709 | + | 1.15253i | 0.887630 | + | 0.460557i | \(0.152350\pi\) |
−0.721921 | + | 0.691976i | \(0.756740\pi\) | |||||||
\(588\) | −0.239446 | + | 0.153882i | −0.00987458 | + | 0.00634600i | ||||
\(589\) | 0.608816 | − | 0.702611i | 0.0250858 | − | 0.0289506i | ||||
\(590\) | 2.03071 | − | 4.44664i | 0.0836031 | − | 0.183065i | ||||
\(591\) | −3.66346 | − | 2.35436i | −0.150695 | − | 0.0968456i | ||||
\(592\) | 6.97355 | − | 2.04762i | 0.286611 | − | 0.0841566i | ||||
\(593\) | 10.6300 | + | 12.2677i | 0.436521 | + | 0.503772i | 0.930799 | − | 0.365532i | \(-0.119113\pi\) |
−0.494278 | + | 0.869304i | \(0.664567\pi\) | |||||||
\(594\) | −4.15223 | − | 1.21920i | −0.170368 | − | 0.0500246i | ||||
\(595\) | −3.13518 | − | 6.86509i | −0.128530 | − | 0.281441i | ||||
\(596\) | 0.401261 | − | 2.79083i | 0.0164363 | − | 0.114317i | ||||
\(597\) | −3.48579 | −0.142664 | ||||||||
\(598\) | 10.5480 | + | 12.7695i | 0.431340 | + | 0.522182i | ||||
\(599\) | −17.3022 | −0.706950 | −0.353475 | − | 0.935444i | \(-0.615000\pi\) | ||||
−0.353475 | + | 0.935444i | \(0.615000\pi\) | |||||||
\(600\) | −0.579559 | + | 4.03092i | −0.0236604 | + | 0.164562i | ||||
\(601\) | −1.28248 | − | 2.80824i | −0.0523135 | − | 0.114551i | 0.881670 | − | 0.471866i | \(-0.156419\pi\) |
−0.933984 | + | 0.357315i | \(0.883692\pi\) | |||||||
\(602\) | −11.9334 | − | 3.50395i | −0.486368 | − | 0.142811i | ||||
\(603\) | 7.30015 | + | 8.42482i | 0.297285 | + | 0.343085i | ||||
\(604\) | 0.310292 | − | 0.0911098i | 0.0126256 | − | 0.00370721i | ||||
\(605\) | 0.175143 | + | 0.112558i | 0.00712059 | + | 0.00457612i | ||||
\(606\) | −1.23977 | + | 2.71472i | −0.0503623 | + | 0.110278i | ||||
\(607\) | 28.8973 | − | 33.3493i | 1.17291 | − | 1.35361i | 0.250156 | − | 0.968205i | \(-0.419518\pi\) |
0.922750 | − | 0.385400i | \(-0.125937\pi\) | |||||||
\(608\) | −6.16160 | + | 3.95982i | −0.249886 | + | 0.160592i | ||||
\(609\) | 1.30524 | + | 9.07812i | 0.0528909 | + | 0.367864i | ||||
\(610\) | −1.57052 | − | 10.9232i | −0.0635883 | − | 0.442266i | ||||
\(611\) | −12.3585 | + | 7.94231i | −0.499970 | + | 0.321311i | ||||
\(612\) | 0.557760 | − | 0.643689i | 0.0225461 | − | 0.0260196i | ||||
\(613\) | 1.57867 | − | 3.45681i | 0.0637620 | − | 0.139619i | −0.875068 | − | 0.483999i | \(-0.839184\pi\) |
0.938830 | + | 0.344380i | \(0.111911\pi\) | |||||||
\(614\) | 27.6894 | + | 17.7949i | 1.11745 | + | 0.718143i | ||||
\(615\) | 30.2037 | − | 8.86859i | 1.21793 | − | 0.357616i | ||||
\(616\) | 6.47447 | + | 7.47194i | 0.260864 | + | 0.301053i | ||||
\(617\) | 16.9638 | + | 4.98102i | 0.682937 | + | 0.200528i | 0.604756 | − | 0.796411i | \(-0.293271\pi\) |
0.0781810 | + | 0.996939i | \(0.475089\pi\) | |||||||
\(618\) | −1.78924 | − | 3.91789i | −0.0719739 | − | 0.157601i | ||||
\(619\) | 2.07272 | − | 14.4161i | 0.0833097 | − | 0.579431i | −0.904818 | − | 0.425798i | \(-0.859993\pi\) |
0.988128 | − | 0.153633i | \(-0.0490975\pi\) | |||||||
\(620\) | −0.145541 | −0.00584506 | ||||||||
\(621\) | −4.79450 | − | 0.113091i | −0.192397 | − | 0.00453820i | ||||
\(622\) | 22.4418 | 0.899836 | ||||||||
\(623\) | −1.87753 | + | 13.0585i | −0.0752217 | + | 0.523179i | ||||
\(624\) | 3.66925 | + | 8.03453i | 0.146887 | + | 0.321639i | ||||
\(625\) | 28.7393 | + | 8.43863i | 1.14957 | + | 0.337545i | ||||
\(626\) | −2.84243 | − | 3.28034i | −0.113606 | − | 0.131109i | ||||
\(627\) | 14.5377 | − | 4.26866i | 0.580581 | − | 0.170474i | ||||
\(628\) | 1.16261 | + | 0.747161i | 0.0463930 | + | 0.0298150i | ||||
\(629\) | 2.69714 | − | 5.90591i | 0.107542 | − | 0.235484i | ||||
\(630\) | −2.16317 | + | 2.49643i | −0.0861826 | + | 0.0994600i | ||||
\(631\) | −11.4500 | + | 7.35845i | −0.455816 | + | 0.292935i | −0.748331 | − | 0.663326i | \(-0.769144\pi\) |
0.292514 | + | 0.956261i | \(0.405508\pi\) | |||||||
\(632\) | 7.20775 | + | 50.1310i | 0.286709 | + | 1.99410i | ||||
\(633\) | −0.298079 | − | 2.07319i | −0.0118476 | − | 0.0824018i | ||||
\(634\) | −3.95096 | + | 2.53913i | −0.156913 | + | 0.100842i | ||||
\(635\) | −15.3197 | + | 17.6799i | −0.607944 | + | 0.701605i | ||||
\(636\) | −1.21944 | + | 2.67020i | −0.0483540 | + | 0.105880i | ||||
\(637\) | −2.21826 | − | 1.42559i | −0.0878906 | − | 0.0564839i | ||||
\(638\) | 38.0821 | − | 11.1819i | 1.50768 | − | 0.442696i | ||||
\(639\) | 4.98672 | + | 5.75499i | 0.197272 | + | 0.227664i | ||||
\(640\) | −20.1334 | − | 5.91169i | −0.795841 | − | 0.233680i | ||||
\(641\) | 7.58613 | + | 16.6113i | 0.299634 | + | 0.656107i | 0.998234 | − | 0.0594056i | \(-0.0189205\pi\) |
−0.698600 | + | 0.715512i | \(0.746193\pi\) | |||||||
\(642\) | −1.79828 | + | 12.5073i | −0.0709724 | + | 0.493624i | ||||
\(643\) | −46.0420 | −1.81572 | −0.907859 | − | 0.419275i | \(-0.862284\pi\) | ||||
−0.907859 | + | 0.419275i | \(0.862284\pi\) | |||||||
\(644\) | 1.13062 | + | 0.764868i | 0.0445526 | + | 0.0301400i | ||||
\(645\) | 23.9499 | 0.943028 | ||||||||
\(646\) | 2.55765 | − | 17.7889i | 0.100630 | − | 0.699894i | ||||
\(647\) | 17.5091 | + | 38.3397i | 0.688355 | + | 1.50729i | 0.853542 | + | 0.521025i | \(0.174450\pi\) |
−0.165187 | + | 0.986262i | \(0.552823\pi\) | |||||||
\(648\) | −2.87102 | − | 0.843008i | −0.112784 | − | 0.0331165i | ||||
\(649\) | 3.20210 | + | 3.69542i | 0.125693 | + | 0.145058i | ||||
\(650\) | −4.50981 | + | 1.32420i | −0.176889 | + | 0.0519394i | ||||
\(651\) | −0.170557 | − | 0.109610i | −0.00668466 | − | 0.00429597i | ||||
\(652\) | 1.98414 | − | 4.34466i | 0.0777049 | − | 0.170150i | ||||
\(653\) | −26.1701 | + | 30.2019i | −1.02411 | + | 1.18189i | −0.0409500 | + | 0.999161i | \(0.513038\pi\) |
−0.983163 | + | 0.182729i | \(0.941507\pi\) | |||||||
\(654\) | −14.5846 | + | 9.37294i | −0.570302 | + | 0.366511i | ||||
\(655\) | −7.19946 | − | 50.0733i | −0.281306 | − | 1.95653i | ||||
\(656\) | 5.94998 | + | 41.3830i | 0.232308 | + | 1.61573i | ||||
\(657\) | −4.10205 | + | 2.63622i | −0.160036 | + | 0.102849i | ||||
\(658\) | 4.77838 | − | 5.51454i | 0.186281 | − | 0.214979i | ||||
\(659\) | 4.28633 | − | 9.38574i | 0.166972 | − | 0.365617i | −0.807587 | − | 0.589748i | \(-0.799227\pi\) |
0.974559 | + | 0.224131i | \(0.0719544\pi\) | |||||||
\(660\) | −1.99540 | − | 1.28237i | −0.0776708 | − | 0.0499160i | ||||
\(661\) | −8.52557 | + | 2.50333i | −0.331606 | + | 0.0973684i | −0.443297 | − | 0.896375i | \(-0.646191\pi\) |
0.111691 | + | 0.993743i | \(0.464373\pi\) | |||||||
\(662\) | −16.1213 | − | 18.6050i | −0.626573 | − | 0.723103i | ||||
\(663\) | 7.57087 | + | 2.22301i | 0.294028 | + | 0.0863344i | ||||
\(664\) | 7.13431 | + | 15.6220i | 0.276865 | + | 0.606250i | ||||
\(665\) | 1.64591 | − | 11.4476i | 0.0638257 | − | 0.443918i | ||||
\(666\) | −2.84172 | −0.110115 | ||||||||
\(667\) | 37.5529 | − | 22.9008i | 1.45405 | − | 0.886724i | ||||
\(668\) | −6.28194 | −0.243056 | ||||||||
\(669\) | −0.222964 | + | 1.55075i | −0.00862030 | + | 0.0599555i | ||||
\(670\) | −15.2970 | − | 33.4957i | −0.590974 | − | 1.29405i | ||||
\(671\) | 10.5914 | + | 3.10992i | 0.408877 | + | 0.120057i | ||||
\(672\) | 1.04598 | + | 1.20712i | 0.0403494 | + | 0.0465657i | ||||
\(673\) | 40.0901 | − | 11.7715i | 1.54536 | − | 0.453759i | 0.605650 | − | 0.795731i | \(-0.292913\pi\) |
0.939710 | + | 0.341973i | \(0.111095\pi\) | |||||||
\(674\) | 32.6268 | + | 20.9679i | 1.25674 | + | 0.807655i | ||||
\(675\) | 0.565372 | − | 1.23799i | 0.0217612 | − | 0.0476504i | ||||
\(676\) | −1.12712 | + | 1.30077i | −0.0433508 | + | 0.0500295i | ||||
\(677\) | 3.48970 | − | 2.24269i | 0.134120 | − | 0.0861937i | −0.471860 | − | 0.881673i | \(-0.656417\pi\) |
0.605980 | + | 0.795480i | \(0.292781\pi\) | |||||||
\(678\) | 1.88300 | + | 13.0965i | 0.0723160 | + | 0.502969i | ||||
\(679\) | −0.990966 | − | 6.89232i | −0.0380298 | − | 0.264503i | ||||
\(680\) | −18.9977 | + | 12.2091i | −0.728530 | + | 0.468198i | ||||
\(681\) | −12.1437 | + | 14.0146i | −0.465348 | + | 0.537040i | ||||
\(682\) | −0.364472 | + | 0.798083i | −0.0139564 | + | 0.0305602i | ||||
\(683\) | 1.38359 | + | 0.889182i | 0.0529418 | + | 0.0340236i | 0.566844 | − | 0.823825i | \(-0.308164\pi\) |
−0.513902 | + | 0.857849i | \(0.671801\pi\) | |||||||
\(684\) | 1.25232 | − | 0.367715i | 0.0478838 | − | 0.0140599i | ||||
\(685\) | 14.4855 | + | 16.7171i | 0.553461 | + | 0.638728i | ||||
\(686\) | 1.25667 | + | 0.368991i | 0.0479798 | + | 0.0140881i | ||||
\(687\) | 9.36386 | + | 20.5040i | 0.357253 | + | 0.782276i | ||||
\(688\) | −4.52691 | + | 31.4854i | −0.172587 | + | 1.20037i | ||||
\(689\) | −27.1947 | −1.03603 | ||||||||
\(690\) | 15.0906 | + | 4.82035i | 0.574491 | + | 0.183508i | ||||
\(691\) | −38.3026 | −1.45710 | −0.728550 | − | 0.684993i | \(-0.759805\pi\) | ||||
−0.728550 | + | 0.684993i | \(0.759805\pi\) | |||||||
\(692\) | −0.218026 | + | 1.51641i | −0.00828812 | + | 0.0576451i | ||||
\(693\) | −1.37260 | − | 3.00557i | −0.0521406 | − | 0.114172i | ||||
\(694\) | −18.3255 | − | 5.38085i | −0.695626 | − | 0.204254i | ||||
\(695\) | −0.619218 | − | 0.714616i | −0.0234883 | − | 0.0271069i | ||||
\(696\) | 26.3315 | − | 7.73163i | 0.998093 | − | 0.293067i | ||||
\(697\) | 31.4196 | + | 20.1922i | 1.19010 | + | 0.764833i | ||||
\(698\) | −2.57016 | + | 5.62786i | −0.0972820 | + | 0.213018i | ||||
\(699\) | 3.92617 | − | 4.53105i | 0.148502 | − | 0.171380i | ||||
\(700\) | −0.325881 | + | 0.209431i | −0.0123172 | + | 0.00791576i | ||||
\(701\) | −0.215004 | − | 1.49539i | −0.00812060 | − | 0.0564800i | 0.985358 | − | 0.170497i | \(-0.0545373\pi\) |
−0.993479 | + | 0.114017i | \(0.963628\pi\) | |||||||
\(702\) | −0.491490 | − | 3.41839i | −0.0185501 | − | 0.129019i | ||||
\(703\) | 8.36997 | − | 5.37906i | 0.315680 | − | 0.202875i | ||||
\(704\) | 19.0225 | − | 21.9531i | 0.716938 | − | 0.827390i | ||||
\(705\) | −5.83709 | + | 12.7815i | −0.219838 | + | 0.481377i | ||||
\(706\) | 9.03982 | + | 5.80954i | 0.340218 | + | 0.218645i | ||||
\(707\) | −2.18637 | + | 0.641975i | −0.0822268 | + | 0.0241440i | ||||
\(708\) | 0.275838 | + | 0.318334i | 0.0103666 | + | 0.0119637i | ||||
\(709\) | 6.39523 | + | 1.87781i | 0.240178 | + | 0.0705226i | 0.399606 | − | 0.916687i | \(-0.369147\pi\) |
−0.159428 | + | 0.987210i | \(0.550965\pi\) | |||||||
\(710\) | −10.4494 | − | 22.8809i | −0.392157 | − | 0.858705i | ||||
\(711\) | 2.40882 | − | 16.7537i | 0.0903379 | − | 0.628314i | ||||
\(712\) | 39.4759 | 1.47942 | ||||||||
\(713\) | −0.161031 | + | 0.958887i | −0.00603067 | + | 0.0359106i | ||||
\(714\) | −3.91920 | −0.146672 | ||||||||
\(715\) | 3.12722 | − | 21.7503i | 0.116951 | − | 0.813415i | ||||
\(716\) | 0.807313 | + | 1.76777i | 0.0301707 | + | 0.0660646i | ||||
\(717\) | −1.17662 | − | 0.345488i | −0.0439419 | − | 0.0129025i | ||||
\(718\) | 8.59742 | + | 9.92195i | 0.320853 | + | 0.370284i | ||||
\(719\) | −47.6209 | + | 13.9828i | −1.77596 | + | 0.521469i | −0.994707 | − | 0.102748i | \(-0.967237\pi\) |
−0.781252 | + | 0.624216i | \(0.785418\pi\) | |||||||
\(720\) | 7.10720 | + | 4.56752i | 0.264870 | + | 0.170221i | ||||
\(721\) | 1.36612 | − | 2.99139i | 0.0508771 | − | 0.111405i | ||||
\(722\) | 1.73900 | − | 2.00691i | 0.0647189 | − | 0.0746896i | ||||
\(723\) | −3.73335 | + | 2.39928i | −0.138845 | + | 0.0892302i | ||||
\(724\) | 0.416253 | + | 2.89510i | 0.0154699 | + | 0.107596i | ||||
\(725\) | 1.77640 | + | 12.3552i | 0.0659740 | + | 0.458859i | ||||
\(726\) | 0.0909516 | − | 0.0584510i | 0.00337553 | − | 0.00216932i | ||||
\(727\) | 21.6998 | − | 25.0429i | 0.804802 | − | 0.928790i | −0.193833 | − | 0.981035i | \(-0.562092\pi\) |
0.998634 | + | 0.0522441i | \(0.0166374\pi\) | |||||||
\(728\) | −3.27765 | + | 7.17705i | −0.121478 | + | 0.265999i | ||||
\(729\) | 0.841254 | + | 0.540641i | 0.0311575 | + | 0.0200237i | ||||
\(730\) | 15.4546 | − | 4.53787i | 0.571999 | − | 0.167954i | ||||
\(731\) | 18.6084 | + | 21.4753i | 0.688258 | + | 0.794292i | ||||
\(732\) | 0.912374 | + | 0.267897i | 0.0337223 | + | 0.00990177i | ||||
\(733\) | −20.1278 | − | 44.0738i | −0.743438 | − | 1.62790i | −0.777816 | − | 0.628492i | \(-0.783672\pi\) |
0.0343783 | − | 0.999409i | \(-0.489055\pi\) | |||||||
\(734\) | −2.24431 | + | 15.6095i | −0.0828391 | + | 0.576159i | ||||
\(735\) | −2.52210 | −0.0930290 | ||||||||
\(736\) | 3.34556 | − | 6.89093i | 0.123319 | − | 0.254003i | ||||
\(737\) | 36.8335 | 1.35678 | ||||||||
\(738\) | 2.32640 | − | 16.1805i | 0.0856360 | − | 0.595612i | ||||
\(739\) | −14.0636 | − | 30.7950i | −0.517339 | − | 1.13281i | −0.970437 | − | 0.241353i | \(-0.922409\pi\) |
0.453099 | − | 0.891460i | \(-0.350319\pi\) | |||||||
\(740\) | −1.49447 | − | 0.438816i | −0.0549378 | − | 0.0161312i | ||||
\(741\) | 7.91824 | + | 9.13814i | 0.290884 | + | 0.335698i | ||||
\(742\) | 12.9604 | − | 3.80552i | 0.475792 | − | 0.139705i | ||||
\(743\) | −29.9633 | − | 19.2562i | −1.09925 | − | 0.706443i | −0.140323 | − | 0.990106i | \(-0.544814\pi\) |
−0.958924 | + | 0.283663i | \(0.908450\pi\) | |||||||
\(744\) | −0.252011 | + | 0.551827i | −0.00923918 | + | 0.0202310i | ||||
\(745\) | 16.3609 | − | 18.8815i | 0.599417 | − | 0.691764i | ||||
\(746\) | 38.3231 | − | 24.6287i | 1.40311 | − | 0.901722i | ||||
\(747\) | −0.816818 | − | 5.68110i | −0.0298858 | − | 0.207860i | ||||
\(748\) | −0.400506 | − | 2.78558i | −0.0146440 | − | 0.101851i | ||||
\(749\) | −8.11624 | + | 5.21599i | −0.296561 | + | 0.190588i | ||||
\(750\) | 7.87180 | − | 9.08454i | 0.287438 | − | 0.331721i | ||||
\(751\) | 12.7324 | − | 27.8800i | 0.464611 | − | 1.01736i | −0.521801 | − | 0.853067i | \(-0.674740\pi\) |
0.986412 | − | 0.164289i | \(-0.0525330\pi\) | |||||||
\(752\) | −15.6996 | − | 10.0895i | −0.572506 | − | 0.367927i | ||||
\(753\) | 27.5970 | − | 8.10321i | 1.00569 | − | 0.295297i | ||||
\(754\) | 20.7421 | + | 23.9377i | 0.755383 | + | 0.871758i | ||||
\(755\) | 2.74949 | + | 0.807323i | 0.100064 | + | 0.0293815i | ||||
\(756\) | −0.118239 | − | 0.258908i | −0.00430033 | − | 0.00941640i | ||||
\(757\) | 1.14421 | − | 7.95819i | 0.0415872 | − | 0.289245i | −0.958405 | − | 0.285410i | \(-0.907870\pi\) |
0.999993 | − | 0.00383507i | \(-0.00122074\pi\) | |||||||
\(758\) | 7.51075 | 0.272803 | ||||||||
\(759\) | −10.6566 | + | 11.7277i | −0.386809 | + | 0.425689i | ||||
\(760\) | −34.6060 | −1.25529 | ||||||||
\(761\) | 6.84705 | − | 47.6223i | 0.248206 | − | 1.72631i | −0.360368 | − | 0.932810i | \(-0.617349\pi\) |
0.608574 | − | 0.793497i | \(-0.291742\pi\) | |||||||
\(762\) | 5.04662 | + | 11.0506i | 0.182820 | + | 0.400319i | ||||
\(763\) | −12.7008 | − | 3.72928i | −0.459799 | − | 0.135009i | ||||
\(764\) | −4.73711 | − | 5.46692i | −0.171383 | − | 0.197786i | ||||
\(765\) | 7.24139 | − | 2.12627i | 0.261813 | − | 0.0768753i | ||||
\(766\) | 13.2823 | + | 8.53604i | 0.479910 | + | 0.308419i | ||||
\(767\) | −1.62104 | + | 3.54957i | −0.0585322 | + | 0.128168i | ||||
\(768\) | 4.37853 | − | 5.05309i | 0.157996 | − | 0.182338i | ||||
\(769\) | −17.3137 | + | 11.1269i | −0.624349 | + | 0.401245i | −0.814214 | − | 0.580565i | \(-0.802832\pi\) |
0.189864 | + | 0.981810i | \(0.439195\pi\) | |||||||
\(770\) | 1.55329 | + | 10.8034i | 0.0559766 | + | 0.389326i | ||||
\(771\) | 0.408648 | + | 2.84221i | 0.0147171 | + | 0.102360i | ||||
\(772\) | −5.03894 | + | 3.23833i | −0.181355 | + | 0.116550i | ||||
\(773\) | 7.79761 | − | 8.99892i | 0.280460 | − | 0.323669i | −0.597989 | − | 0.801505i | \(-0.704033\pi\) |
0.878449 | + | 0.477836i | \(0.158579\pi\) | |||||||
\(774\) | 5.16659 | − | 11.3132i | 0.185709 | − | 0.406646i | ||||
\(775\) | −0.232125 | − | 0.149178i | −0.00833818 | − | 0.00535862i | ||||
\(776\) | −19.9915 | + | 5.87003i | −0.717653 | + | 0.210722i | ||||
\(777\) | −1.42086 | − | 1.63976i | −0.0509731 | − | 0.0588261i | ||||
\(778\) | 1.64701 | + | 0.483606i | 0.0590482 | + | 0.0173381i | ||||
\(779\) | 23.7756 | + | 52.0614i | 0.851851 | + | 1.86529i | ||||
\(780\) | 0.269388 | − | 1.87363i | 0.00964563 | − | 0.0670868i | ||||
\(781\) | 25.1609 | 0.900330 | ||||||||
\(782\) | 7.40272 | + | 17.2766i | 0.264721 | + | 0.617812i | ||||
\(783\) | −9.17148 | −0.327762 | ||||||||
\(784\) | 0.476716 | − | 3.31563i | 0.0170256 | − | 0.118415i | ||||
\(785\) | 5.08709 | + | 11.1392i | 0.181566 | + | 0.397574i | ||||
\(786\) | −25.2063 | − | 7.40122i | −0.899077 | − | 0.263993i | ||||
\(787\) | −24.8327 | − | 28.6585i | −0.885192 | − | 1.02157i | −0.999604 | − | 0.0281323i | \(-0.991044\pi\) |
0.114413 | − | 0.993433i | \(-0.463501\pi\) | |||||||
\(788\) | −1.18929 | + | 0.349206i | −0.0423666 | + | 0.0124400i | ||||
\(789\) | 26.2897 | + | 16.8954i | 0.935939 | + | 0.601491i | ||||
\(790\) | −23.2262 | + | 50.8583i | −0.826351 | + | 1.80946i | ||||
\(791\) | −6.61560 | + | 7.63481i | −0.235224 | + | 0.271463i | ||||
\(792\) | −8.31730 | + | 5.34520i | −0.295542 | + | 0.189934i | ||||
\(793\) | 1.25368 | + | 8.71954i | 0.0445195 | + | 0.309640i | ||||
\(794\) | −1.17725 | − | 8.18796i | −0.0417791 | − | 0.290580i | ||||
\(795\) | −21.8820 | + | 14.0627i | −0.776075 | + | 0.498753i | ||||
\(796\) | −0.649726 | + | 0.749823i | −0.0230289 | + | 0.0265768i | ||||
\(797\) | 13.1235 | − | 28.7364i | 0.464858 | − | 1.01790i | −0.521495 | − | 0.853254i | \(-0.674626\pi\) |
0.986353 | − | 0.164643i | \(-0.0526471\pi\) | |||||||
\(798\) | −5.05243 | − | 3.24700i | −0.178854 | − | 0.114943i | ||||
\(799\) | −15.9960 | + | 4.69686i | −0.565899 | + | 0.166163i | ||||
\(800\) | 1.42355 | + | 1.64287i | 0.0503302 | + | 0.0580842i | ||||
\(801\) | −12.6584 | − | 3.71684i | −0.447263 | − | 0.131328i | ||||
\(802\) | 2.01483 | + | 4.41186i | 0.0711460 | + | 0.155788i | ||||
\(803\) | −2.29290 | + | 15.9474i | −0.0809145 | + | 0.562773i | ||||
\(804\) | 3.17295 | 0.111901 | ||||||||
\(805\) | 4.76383 | + | 11.1179i | 0.167903 | + | 0.391856i | ||||
\(806\) | −0.700176 | −0.0246626 | ||||||||
\(807\) | −2.15480 | + | 14.9870i | −0.0758525 | + | 0.527566i | ||||
\(808\) | 2.83242 | + | 6.20214i | 0.0996443 | + | 0.218191i | ||||
\(809\) | −34.5904 | − | 10.1567i | −1.21613 | − | 0.357089i | −0.390134 | − | 0.920758i | \(-0.627571\pi\) |
−0.826001 | + | 0.563669i | \(0.809389\pi\) | |||||||
\(810\) | −2.16317 | − | 2.49643i | −0.0760059 | − | 0.0877155i | ||||
\(811\) | 51.3652 | − | 15.0822i | 1.80368 | − | 0.529607i | 0.805648 | − | 0.592394i | \(-0.201817\pi\) |
0.998027 | + | 0.0627875i | \(0.0199990\pi\) | |||||||
\(812\) | 2.19607 | + | 1.41133i | 0.0770670 | + | 0.0495279i | ||||
\(813\) | 9.73455 | − | 21.3157i | 0.341406 | − | 0.747574i | ||||
\(814\) | −6.14882 | + | 7.09611i | −0.215516 | + | 0.248719i | ||||
\(815\) | 35.6040 | − | 22.8813i | 1.24715 | − | 0.801497i | ||||
\(816\) | 1.42652 | + | 9.92166i | 0.0499382 | + | 0.347328i | ||||
\(817\) | 6.19708 | + | 43.1016i | 0.216808 | + | 1.50794i | ||||
\(818\) | 5.94347 | − | 3.81963i | 0.207808 | − | 0.133550i | ||||
\(819\) | 1.72677 | − | 1.99280i | 0.0603382 | − | 0.0696340i | ||||
\(820\) | 3.72203 | − | 8.15011i | 0.129979 | − | 0.284614i | ||||
\(821\) | 33.8258 | + | 21.7385i | 1.18053 | + | 0.758680i | 0.975484 | − | 0.220072i | \(-0.0706292\pi\) |
0.205046 | + | 0.978752i | \(0.434266\pi\) | |||||||
\(822\) | 11.0215 | − | 3.23622i | 0.384420 | − | 0.112876i | ||||
\(823\) | −1.63966 | − | 1.89227i | −0.0571550 | − | 0.0659604i | 0.726452 | − | 0.687217i | \(-0.241168\pi\) |
−0.783607 | + | 0.621257i | \(0.786622\pi\) | |||||||
\(824\) | −9.44158 | − | 2.77230i | −0.328913 | − | 0.0965776i | ||||
\(825\) | −1.86808 | − | 4.09052i | −0.0650382 | − | 0.142414i | ||||
\(826\) | 0.275838 | − | 1.91850i | 0.00959764 | − | 0.0667530i | ||||
\(827\) | −10.6733 | −0.371147 | −0.185573 | − | 0.982630i | \(-0.559414\pi\) | ||||
−0.185573 | + | 0.982630i | \(0.559414\pi\) | |||||||
\(828\) | −0.917987 | + | 1.01026i | −0.0319022 | + | 0.0351089i | ||||
\(829\) | −46.5506 | −1.61677 | −0.808385 | − | 0.588654i | \(-0.799658\pi\) | ||||
−0.808385 | + | 0.588654i | \(0.799658\pi\) | |||||||
\(830\) | −2.69815 | + | 18.7661i | −0.0936542 | + | 0.651380i | ||||
\(831\) | −1.89482 | − | 4.14908i | −0.0657307 | − | 0.143930i | ||||
\(832\) | 22.2426 | + | 6.53102i | 0.771123 | + | 0.226422i | ||||
\(833\) | −1.95960 | − | 2.26150i | −0.0678961 | − | 0.0783563i | ||||
\(834\) | −0.471144 | + | 0.138340i | −0.0163144 | + | 0.00479033i | ||||
\(835\) | −46.8277 | − | 30.0943i | −1.62054 | − | 1.04146i | ||||
\(836\) | 1.79150 | − | 3.92284i | 0.0619604 | − | 0.135674i | ||||
\(837\) | 0.132768 | − | 0.153222i | 0.00458912 | − | 0.00529612i | ||||
\(838\) | −28.0467 | + | 18.0245i | −0.968858 | + | 0.622647i | ||||
\(839\) | 5.49119 | + | 38.1920i | 0.189577 | + | 1.31854i | 0.833106 | + | 0.553114i | \(0.186560\pi\) |
−0.643529 | + | 0.765422i | \(0.722530\pi\) | |||||||
\(840\) | 1.07401 | + | 7.46988i | 0.0370568 | + | 0.257735i | ||||
\(841\) | 46.3665 | − | 29.7980i | 1.59885 | − | 1.02752i | ||||
\(842\) | 18.1464 | − | 20.9420i | 0.625365 | − | 0.721709i | ||||
\(843\) | −3.05781 | + | 6.69566i | −0.105316 | + | 0.230611i | ||||
\(844\) | −0.501520 | − | 0.322308i | −0.0172630 | − | 0.0110943i | ||||
\(845\) | −14.6334 | + | 4.29676i | −0.503404 | + | 0.147813i | ||||
\(846\) | 4.77838 | + | 5.51454i | 0.164284 | + | 0.189594i | ||||
\(847\) | 0.0792039 | + | 0.0232563i | 0.00272148 | + | 0.000799098i | ||||
\(848\) | −14.3513 | − | 31.4249i | −0.492824 | − | 1.07913i | ||||
\(849\) | −2.98476 | + | 20.7594i | −0.102437 | + | 0.712462i | ||||
\(850\) | −5.33396 | −0.182953 | ||||||||
\(851\) | −4.54464 | + | 9.36069i | −0.155788 | + | 0.320880i | ||||
\(852\) | 2.16744 | 0.0742552 | ||||||||
\(853\) | 3.48496 | − | 24.2385i | 0.119323 | − | 0.829909i | −0.838982 | − | 0.544160i | \(-0.816849\pi\) |
0.958304 | − | 0.285749i | \(-0.0922424\pi\) | |||||||
\(854\) | −1.81766 | − | 3.98012i | −0.0621990 | − | 0.136197i | ||||
\(855\) | 11.0968 | + | 3.25832i | 0.379503 | + | 0.111432i | ||||
\(856\) | 18.9048 | + | 21.8173i | 0.646152 | + | 0.745700i | ||||
\(857\) | 13.2432 | − | 3.88857i | 0.452381 | − | 0.132831i | −0.0476019 | − | 0.998866i | \(-0.515158\pi\) |
0.499983 | + | 0.866035i | \(0.333340\pi\) | |||||||
\(858\) | −9.59957 | − | 6.16927i | −0.327724 | − | 0.210615i | ||||
\(859\) | −1.31133 | + | 2.87141i | −0.0447420 | + | 0.0979714i | −0.930683 | − | 0.365827i | \(-0.880786\pi\) |
0.885941 | + | 0.463798i | \(0.153514\pi\) | |||||||
\(860\) | 4.46410 | − | 5.15184i | 0.152224 | − | 0.175676i | ||||
\(861\) | 10.4998 | − | 6.74784i | 0.357833 | − | 0.229966i | ||||
\(862\) | 5.82751 | + | 40.5312i | 0.198486 | + | 1.38050i | ||||
\(863\) | −5.11346 | − | 35.5649i | −0.174064 | − | 1.21064i | −0.870188 | − | 0.492721i | \(-0.836002\pi\) |
0.696123 | − | 0.717922i | \(-0.254907\pi\) | |||||||
\(864\) | −1.34369 | + | 0.863538i | −0.0457133 | + | 0.0293781i | ||||
\(865\) | −8.88975 | + | 10.2593i | −0.302261 | + | 0.348827i | ||||
\(866\) | −1.06529 | + | 2.33265i | −0.0361999 | + | 0.0792667i | ||||
\(867\) | −6.76839 | − | 4.34978i | −0.229866 | − | 0.147726i | ||||
\(868\) | −0.0553688 | + | 0.0162577i | −0.00187934 | + | 0.000551823i | ||||
\(869\) | −36.6239 | − | 42.2662i | −1.24238 | − | 1.43378i | ||||
\(870\) | 29.0685 | + | 8.53527i | 0.985513 | + | 0.289373i | ||||
\(871\) | 12.2110 | + | 26.7383i | 0.413753 | + | 0.905993i | ||||
\(872\) | −5.63681 | + | 39.2049i | −0.190886 | + | 1.32764i | ||||
\(873\) | 6.96320 | 0.235668 | ||||||||
\(874\) | −4.77024 | + | 28.4052i | −0.161356 | + | 0.960820i | ||||
\(875\) | 9.17796 | 0.310272 | ||||||||
\(876\) | −0.197517 | + | 1.37376i | −0.00667347 | + | 0.0464150i | ||||
\(877\) | −6.94981 | − | 15.2180i | −0.234678 | − | 0.513874i | 0.755251 | − | 0.655436i | \(-0.227515\pi\) |
−0.989929 | + | 0.141562i | \(0.954788\pi\) | |||||||
\(878\) | 5.55948 | + | 1.63241i | 0.187623 | + | 0.0550912i | ||||
\(879\) | 3.02449 | + | 3.49045i | 0.102014 | + | 0.117730i | ||||
\(880\) | 26.7839 | − | 7.86446i | 0.902885 | − | 0.265111i | ||||
\(881\) | −19.6619 | − | 12.6359i | −0.662426 | − | 0.425715i | 0.165762 | − | 0.986166i | \(-0.446992\pi\) |
−0.828188 | + | 0.560450i | \(0.810628\pi\) | |||||||
\(882\) | −0.544078 | + | 1.19136i | −0.0183201 | + | 0.0401153i | ||||
\(883\) | 3.56380 | − | 4.11285i | 0.119932 | − | 0.138408i | −0.692609 | − | 0.721314i | \(-0.743539\pi\) |
0.812540 | + | 0.582905i | \(0.198084\pi\) | |||||||
\(884\) | 1.88934 | − | 1.21421i | 0.0635455 | − | 0.0408382i | ||||
\(885\) | 0.531175 | + | 3.69440i | 0.0178552 | + | 0.124186i | ||||
\(886\) | −3.56299 | − | 24.7811i | −0.119701 | − | 0.832539i | ||||
\(887\) | 0.494927 | − | 0.318071i | 0.0166180 | − | 0.0106798i | −0.532305 | − | 0.846552i | \(-0.678674\pi\) |
0.548923 | + | 0.835873i | \(0.315038\pi\) | |||||||
\(888\) | −4.25154 | + | 4.90654i | −0.142672 | + | 0.164653i | ||||
\(889\) | −3.85320 | + | 8.43733i | −0.129232 | + | 0.282979i | ||||
\(890\) | 36.6611 | + | 23.5606i | 1.22888 | + | 0.789754i | ||||
\(891\) | 3.17032 | − | 0.930889i | 0.106210 | − | 0.0311859i | ||||
\(892\) | 0.292021 | + | 0.337010i | 0.00977759 | + | 0.0112839i | ||||
\(893\) | −24.5126 | − | 7.19754i | −0.820281 | − | 0.240856i | ||||
\(894\) | −5.38961 | − | 11.8016i | −0.180255 | − | 0.394704i | ||||
\(895\) | −2.45071 | + | 17.0451i | −0.0819182 | + | 0.569753i | ||||
\(896\) | −8.31979 | −0.277945 | ||||||||
\(897\) | −12.0463 | − | 3.84789i | −0.402213 | − | 0.128477i | ||||
\(898\) | 18.6999 | 0.624023 | ||||||||
\(899\) | −0.264626 | + | 1.84051i | −0.00882577 | + | 0.0613846i | ||||
\(900\) | −0.160922 | − | 0.352370i | −0.00536406 | − | 0.0117457i | ||||
\(901\) | −29.6114 | − | 8.69468i | −0.986498 | − | 0.289662i | ||||
\(902\) | −35.3707 | − | 40.8200i | −1.17772 | − | 1.35916i | ||||
\(903\) | 9.11138 | − | 2.67534i | 0.303208 | − | 0.0890299i | ||||
\(904\) | 25.4297 | + | 16.3427i | 0.845781 | + | 0.543550i | ||||
\(905\) | −10.7664 | + | 23.5751i | −0.357887 | + | 0.783664i | ||||
\(906\) | 0.974487 | − | 1.12462i | 0.0323752 | − | 0.0373629i | ||||
\(907\) | −20.9221 | + | 13.4458i | −0.694706 | + | 0.446461i | −0.839756 | − | 0.542964i | \(-0.817302\pi\) |
0.145050 | + | 0.989424i | \(0.453666\pi\) | |||||||
\(908\) | 0.751161 | + | 5.22444i | 0.0249282 | + | 0.173379i | ||||
\(909\) | −0.324288 | − | 2.25547i | −0.0107560 | − | 0.0748094i | ||||
\(910\) | −7.32746 | + | 4.70907i | −0.242903 | + | 0.156104i | ||||
\(911\) | −3.08440 | + | 3.55958i | −0.102191 | + | 0.117934i | −0.804541 | − | 0.593897i | \(-0.797589\pi\) |
0.702350 | + | 0.711831i | \(0.252134\pi\) | |||||||
\(912\) | −6.38096 | + | 13.9723i | −0.211295 | + | 0.462671i | ||||
\(913\) | −15.9538 | − | 10.2529i | −0.527992 | − | 0.339320i | ||||
\(914\) | 18.5443 | − | 5.44510i | 0.613391 | − | 0.180108i | ||||
\(915\) | 5.51775 | + | 6.36782i | 0.182411 | + | 0.210514i | ||||
\(916\) | 6.15594 | + | 1.80755i | 0.203398 | + | 0.0597231i | ||||
\(917\) | −8.33239 | − | 18.2454i | −0.275160 | − | 0.602516i | ||||
\(918\) | 0.557760 | − | 3.87931i | 0.0184088 | − | 0.128036i | ||||
\(919\) | −15.2585 | −0.503331 | −0.251665 | − | 0.967814i | \(-0.580978\pi\) | ||||
−0.251665 | + | 0.967814i | \(0.580978\pi\) | |||||||
\(920\) | 30.9002 | − | 18.8438i | 1.01875 | − | 0.621262i | ||||
\(921\) | −25.1309 | −0.828090 | ||||||||
\(922\) | 5.79702 | − | 40.3192i | 0.190915 | − | 1.32784i | ||||
\(923\) | 8.34130 | + | 18.2649i | 0.274557 | + | 0.601197i | ||||
\(924\) | −0.902366 | − | 0.264959i | −0.0296857 | − | 0.00871649i | ||||
\(925\) | −1.93377 | − | 2.23169i | −0.0635819 | − | 0.0733774i | ||||
\(926\) | −31.4994 | + | 9.24906i | −1.03513 | + | 0.303943i | ||||
\(927\) | 2.76653 | + | 1.77794i | 0.0908647 | + | 0.0583952i | ||||
\(928\) | 6.08547 | − | 13.3253i | 0.199765 | − | 0.437425i | ||||
\(929\) | 20.4640 | − | 23.6167i | 0.671402 | − | 0.774839i | −0.313193 | − | 0.949689i | \(-0.601399\pi\) |
0.984595 | + | 0.174850i | \(0.0559442\pi\) | |||||||
\(930\) | −0.563392 | + | 0.362070i | −0.0184744 | + | 0.0118727i | ||||
\(931\) | −0.652596 | − | 4.53891i | −0.0213880 | − | 0.148757i | ||||
\(932\) | −0.242857 | − | 1.68911i | −0.00795505 | − | 0.0553286i | ||||
\(933\) | −14.4147 | + | 9.26378i | −0.471917 | + | 0.303283i | ||||
\(934\) | −0.0534687 | + | 0.0617062i | −0.00174955 | + | 0.00201909i | ||||
\(935\) | 10.3591 | − | 22.6833i | 0.338780 | − | 0.741824i | ||||
\(936\) | −6.63754 | − | 4.26569i | −0.216955 | − | 0.139428i | ||||
\(937\) | −23.0629 | + | 6.77188i | −0.753433 | + | 0.221228i | −0.635826 | − | 0.771833i | \(-0.719340\pi\) |
−0.117607 | + | 0.993060i | \(0.537522\pi\) | |||||||
\(938\) | −9.56116 | − | 11.0342i | −0.312183 | − | 0.360279i | ||||
\(939\) | 3.17983 | + | 0.933682i | 0.103770 | + | 0.0304696i | ||||
\(940\) | 1.66141 | + | 3.63798i | 0.0541892 | + | 0.118658i | ||||
\(941\) | 4.94144 | − | 34.3685i | 0.161086 | − | 1.12038i | −0.735504 | − | 0.677520i | \(-0.763055\pi\) |
0.896591 | − | 0.442860i | \(-0.146036\pi\) | |||||||
\(942\) | 6.35922 | 0.207195 | ||||||||
\(943\) | −49.5783 | − | 33.5399i | −1.61449 | − | 1.09221i | ||||
\(944\) | −4.95718 | −0.161342 | ||||||||
\(945\) | 0.358932 | − | 2.49643i | 0.0116761 | − | 0.0812088i | ||||
\(946\) | −17.0712 | − | 37.3807i | −0.555033 | − | 1.21535i | ||||
\(947\) | 47.8497 | + | 14.0499i | 1.55491 | + | 0.456561i | 0.942562 | − | 0.334031i | \(-0.108409\pi\) |
0.612343 | + | 0.790592i | \(0.290227\pi\) | |||||||
\(948\) | −3.15489 | − | 3.64093i | −0.102466 | − | 0.118252i | ||||
\(949\) | −12.3368 | + | 3.62240i | −0.400468 | + | 0.117588i | ||||
\(950\) | −6.87626 | − | 4.41911i | −0.223095 | − | 0.143375i | ||||
\(951\) | 1.48963 | − | 3.26184i | 0.0483047 | − | 0.105773i | ||||
\(952\) | −5.86357 | + | 6.76692i | −0.190039 | + | 0.219317i | ||||
\(953\) | −10.8854 | + | 6.99565i | −0.352614 | + | 0.226611i | −0.704941 | − | 0.709266i | \(-0.749027\pi\) |
0.352327 | + | 0.935877i | \(0.385390\pi\) | |||||||
\(954\) | 1.92233 | + | 13.3701i | 0.0622377 | + | 0.432873i | ||||
\(955\) | −9.12215 | − | 63.4459i | −0.295186 | − | 2.05306i | ||||
\(956\) | −0.293632 | + | 0.188706i | −0.00949674 | + | 0.00610318i | ||||
\(957\) | −19.8449 | + | 22.9022i | −0.641494 | + | 0.740324i | ||||
\(958\) | 8.60481 | − | 18.8419i | 0.278009 | − | 0.608754i | ||||
\(959\) | 7.37817 | + | 4.74166i | 0.238253 | + | 0.153116i | ||||
\(960\) | 21.2746 | − | 6.24680i | 0.686636 | − | 0.201614i | ||||
\(961\) | 20.2738 | + | 23.3972i | 0.653992 | + | 0.754747i | ||||
\(962\) | −7.18967 | − | 2.11108i | −0.231804 | − | 0.0680639i | ||||
\(963\) | −4.00784 | − | 8.77594i | −0.129151 | − | 0.282801i | ||||
\(964\) | −0.179764 | + | 1.25029i | −0.00578981 | + | 0.0402690i | ||||
\(965\) | −53.0755 | −1.70856 | ||||||||
\(966\) | 6.27946 | + | 0.148118i | 0.202038 | + | 0.00476563i | ||||
\(967\) | 22.5885 | 0.726397 | 0.363199 | − | 0.931712i | \(-0.381685\pi\) | ||||
0.363199 | + | 0.931712i | \(0.381685\pi\) | |||||||
\(968\) | 0.0351520 | − | 0.244487i | 0.00112983 | − | 0.00785812i | ||||
\(969\) | 5.70026 | + | 12.4818i | 0.183119 | + | 0.400974i | ||||
\(970\) | −22.0694 | − | 6.48017i | −0.708607 | − | 0.208066i | ||||
\(971\) | −11.1665 | − | 12.8868i | −0.358349 | − | 0.413557i | 0.547737 | − | 0.836651i | \(-0.315490\pi\) |
−0.906086 | + | 0.423094i | \(0.860944\pi\) | |||||||
\(972\) | 0.273100 | − | 0.0801894i | 0.00875969 | − | 0.00257208i | ||||
\(973\) | −0.315398 | − | 0.202694i | −0.0101112 | − | 0.00649808i | ||||
\(974\) | 4.23522 | − | 9.27383i | 0.135705 | − | 0.297153i | ||||
\(975\) | 2.35010 | − | 2.71216i | 0.0752635 | − | 0.0868587i | ||||
\(976\) | −9.41428 | + | 6.05019i | −0.301344 | + | 0.193662i | ||||
\(977\) | 6.12745 | + | 42.6173i | 0.196034 | + | 1.36345i | 0.815651 | + | 0.578545i | \(0.196379\pi\) |
−0.619616 | + | 0.784905i | \(0.712712\pi\) | |||||||
\(978\) | −3.12780 | − | 21.7543i | −0.100016 | − | 0.695626i | ||||
\(979\) | −36.6712 | + | 23.5671i | −1.17202 | + | 0.753209i | ||||
\(980\) | −0.470101 | + | 0.542526i | −0.0150168 | + | 0.0173303i | ||||
\(981\) | 5.49883 | − | 12.0408i | 0.175564 | − | 0.384432i | ||||
\(982\) | 11.9192 | + | 7.66000i | 0.380357 | + | 0.244440i | ||||
\(983\) | 9.92229 | − | 2.91345i | 0.316472 | − | 0.0929245i | −0.119639 | − | 0.992817i | \(-0.538174\pi\) |
0.436111 | + | 0.899893i | \(0.356356\pi\) | |||||||
\(984\) | −24.4568 | − | 28.2246i | −0.779654 | − | 0.899769i | ||||
\(985\) | −10.5383 | − | 3.09431i | −0.335777 | − | 0.0985930i | ||||
\(986\) | 14.9320 | + | 32.6966i | 0.475533 | + | 1.04127i | ||||
\(987\) | −0.792871 | + | 5.51454i | −0.0252374 | + | 0.175530i | ||||
\(988\) | 3.44160 | 0.109492 | ||||||||
\(989\) | −29.0034 | − | 35.1116i | −0.922254 | − | 1.11648i | ||||
\(990\) | −10.9144 | −0.346884 | ||||||||
\(991\) | 1.32458 | − | 9.21263i | 0.0420765 | − | 0.292649i | −0.957908 | − | 0.287076i | \(-0.907317\pi\) |
0.999984 | − | 0.00557318i | \(-0.00177401\pi\) | |||||||
\(992\) | 0.134523 | + | 0.294565i | 0.00427112 | + | 0.00935244i | ||||
\(993\) | 18.0349 | + | 5.29553i | 0.572321 | + | 0.168049i | ||||
\(994\) | −6.53122 | − | 7.53743i | −0.207158 | − | 0.239073i | ||||
\(995\) | −8.43538 | + | 2.47685i | −0.267420 | + | 0.0785215i | ||||
\(996\) | −1.37430 | − | 0.883211i | −0.0435464 | − | 0.0279856i | ||||
\(997\) | 25.6784 | − | 56.2279i | 0.813244 | − | 1.78076i | 0.220458 | − | 0.975396i | \(-0.429245\pi\) |
0.592786 | − | 0.805360i | \(-0.298028\pi\) | |||||||
\(998\) | −23.9576 | + | 27.6485i | −0.758365 | + | 0.875200i | ||||
\(999\) | 1.82528 | − | 1.17304i | 0.0577493 | − | 0.0371132i |
(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 | 483.2.q.c.169.2 | ✓ | 20 | |
23.3 | even | 11 | inner | 483.2.q.c.463.2 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.q.c.169.2 | ✓ | 20 | 1.1 | even | 1 | trivial | |
483.2.q.c.463.2 | yes | 20 | 23.3 | even | 11 | inner |