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: | \( x^{20} - 8 x^{19} + 40 x^{18} - 117 x^{17} + 295 x^{16} - 575 x^{15} + 1777 x^{14} - 1560 x^{13} + 4383 x^{12} - 6446 x^{11} + 7261 x^{10} + 7700 x^{9} + 7852 x^{8} + \cdots + 2374681 \) |
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 | 211.1 | ||
Root | \(1.58077 - 3.46140i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 483.211 |
Dual form | 483.2.q.c.190.1 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.698939 | + | 1.53046i | 0.494224 | + | 1.08220i | 0.978304 | + | 0.207176i | \(0.0664273\pi\) |
−0.484079 | + | 0.875024i | \(0.660845\pi\) | |||||||
\(3\) | −0.959493 | + | 0.281733i | −0.553964 | + | 0.162658i | ||||
\(4\) | −0.544078 | + | 0.627899i | −0.272039 | + | 0.313950i | ||||
\(5\) | −2.50227 | − | 1.60811i | −1.11905 | − | 0.719168i | −0.155802 | − | 0.987788i | \(-0.549796\pi\) |
−0.963246 | + | 0.268620i | \(0.913432\pi\) | |||||||
\(6\) | −1.10181 | − | 1.27155i | −0.449811 | − | 0.519110i | ||||
\(7\) | −0.142315 | − | 0.989821i | −0.0537900 | − | 0.374117i | ||||
\(8\) | 1.88745 | + | 0.554206i | 0.667316 | + | 0.195942i | ||||
\(9\) | 0.841254 | − | 0.540641i | 0.280418 | − | 0.180214i | ||||
\(10\) | 0.712219 | − | 4.95359i | 0.225224 | − | 1.56646i | ||||
\(11\) | 2.05182 | − | 4.49286i | 0.618647 | − | 1.35465i | −0.297853 | − | 0.954612i | \(-0.596270\pi\) |
0.916499 | − | 0.400036i | \(-0.131002\pi\) | |||||||
\(12\) | 0.345139 | − | 0.755750i | 0.0996331 | − | 0.218166i | ||||
\(13\) | −0.165305 | + | 1.14972i | −0.0458472 | + | 0.318875i | 0.953973 | + | 0.299894i | \(0.0969512\pi\) |
−0.999820 | + | 0.0189808i | \(0.993958\pi\) | |||||||
\(14\) | 1.41542 | − | 0.909632i | 0.378286 | − | 0.243109i | ||||
\(15\) | 2.85396 | + | 0.837999i | 0.736890 | + | 0.216371i | ||||
\(16\) | 0.707501 | + | 4.92078i | 0.176875 | + | 1.23020i | ||||
\(17\) | −1.62788 | − | 1.87868i | −0.394820 | − | 0.455647i | 0.523183 | − | 0.852220i | \(-0.324744\pi\) |
−0.918003 | + | 0.396574i | \(0.870199\pi\) | |||||||
\(18\) | 1.41542 | + | 0.909632i | 0.333617 | + | 0.214402i | ||||
\(19\) | 3.78746 | − | 4.37096i | 0.868902 | − | 1.00277i | −0.131033 | − | 0.991378i | \(-0.541829\pi\) |
0.999935 | − | 0.0113889i | \(-0.00362527\pi\) | |||||||
\(20\) | 2.37116 | − | 0.696235i | 0.530207 | − | 0.155683i | ||||
\(21\) | 0.415415 | + | 0.909632i | 0.0906510 | + | 0.198498i | ||||
\(22\) | 8.31025 | 1.77175 | ||||||||
\(23\) | 0.794372 | − | 4.72958i | 0.165638 | − | 0.986187i | ||||
\(24\) | −1.96714 | −0.401540 | ||||||||
\(25\) | 1.59825 | + | 3.49968i | 0.319650 | + | 0.699935i | ||||
\(26\) | −1.87514 | + | 0.550590i | −0.367745 | + | 0.107980i | ||||
\(27\) | −0.654861 | + | 0.755750i | −0.126028 | + | 0.145444i | ||||
\(28\) | 0.698939 | + | 0.449181i | 0.132087 | + | 0.0848872i | ||||
\(29\) | 3.45622 | + | 3.98869i | 0.641804 | + | 0.740681i | 0.979693 | − | 0.200505i | \(-0.0642583\pi\) |
−0.337889 | + | 0.941186i | \(0.609713\pi\) | |||||||
\(30\) | 0.712219 | + | 4.95359i | 0.130033 | + | 0.904399i | ||||
\(31\) | 6.16054 | + | 1.80890i | 1.10647 | + | 0.324888i | 0.783418 | − | 0.621495i | \(-0.213474\pi\) |
0.323048 | + | 0.946383i | \(0.395293\pi\) | |||||||
\(32\) | −3.72685 | + | 2.39510i | −0.658820 | + | 0.423398i | ||||
\(33\) | −0.702922 | + | 4.88893i | −0.122363 | + | 0.851054i | ||||
\(34\) | 1.73746 | − | 3.80450i | 0.297971 | − | 0.652466i | ||||
\(35\) | −1.23563 | + | 2.70566i | −0.208860 | + | 0.457339i | ||||
\(36\) | −0.118239 | + | 0.822373i | −0.0197066 | + | 0.137062i | ||||
\(37\) | 0.716896 | − | 0.460721i | 0.117857 | − | 0.0757421i | −0.480384 | − | 0.877058i | \(-0.659503\pi\) |
0.598241 | + | 0.801316i | \(0.295866\pi\) | |||||||
\(38\) | 9.33679 | + | 2.74153i | 1.51463 | + | 0.444735i | ||||
\(39\) | −0.165305 | − | 1.14972i | −0.0264699 | − | 0.184102i | ||||
\(40\) | −3.83169 | − | 4.42200i | −0.605843 | − | 0.699180i | ||||
\(41\) | −7.78884 | − | 5.00558i | −1.21641 | − | 0.781740i | −0.234692 | − | 0.972070i | \(-0.575408\pi\) |
−0.981720 | + | 0.190329i | \(0.939044\pi\) | |||||||
\(42\) | −1.10181 | + | 1.27155i | −0.170013 | + | 0.196205i | ||||
\(43\) | −6.05983 | + | 1.77933i | −0.924115 | + | 0.271345i | −0.708971 | − | 0.705238i | \(-0.750840\pi\) |
−0.215144 | + | 0.976582i | \(0.569022\pi\) | |||||||
\(44\) | 1.70471 | + | 3.73280i | 0.256995 | + | 0.562741i | ||||
\(45\) | −2.97445 | −0.443405 | ||||||||
\(46\) | 7.79367 | − | 2.08993i | 1.14911 | − | 0.308144i | ||||
\(47\) | −7.03910 | −1.02676 | −0.513379 | − | 0.858162i | \(-0.671606\pi\) | ||||
−0.513379 | + | 0.858162i | \(0.671606\pi\) | |||||||
\(48\) | −2.06519 | − | 4.52213i | −0.298084 | − | 0.652713i | ||||
\(49\) | −0.959493 | + | 0.281733i | −0.137070 | + | 0.0402475i | ||||
\(50\) | −4.23905 | + | 4.89212i | −0.599492 | + | 0.691850i | ||||
\(51\) | 2.09123 | + | 1.34395i | 0.292831 | + | 0.188191i | ||||
\(52\) | −0.631969 | − | 0.729331i | −0.0876383 | − | 0.101140i | ||||
\(53\) | −1.92906 | − | 13.4169i | −0.264977 | − | 1.84296i | −0.493906 | − | 0.869515i | \(-0.664431\pi\) |
0.228928 | − | 0.973443i | \(-0.426478\pi\) | |||||||
\(54\) | −1.61435 | − | 0.474017i | −0.219686 | − | 0.0645055i | ||||
\(55\) | −12.3592 | + | 7.94278i | −1.66652 | + | 1.07100i | ||||
\(56\) | 0.279953 | − | 1.94711i | 0.0374103 | − | 0.260194i | ||||
\(57\) | −2.40260 | + | 5.26096i | −0.318232 | + | 0.696831i | ||||
\(58\) | −3.68885 | + | 8.07746i | −0.484370 | + | 1.06062i | ||||
\(59\) | 0.0785911 | − | 0.546613i | 0.0102317 | − | 0.0711630i | −0.984066 | − | 0.177804i | \(-0.943101\pi\) |
0.994298 | + | 0.106641i | \(0.0340097\pi\) | |||||||
\(60\) | −2.07896 | + | 1.33607i | −0.268392 | + | 0.172485i | ||||
\(61\) | 6.57602 | + | 1.93089i | 0.841973 | + | 0.247226i | 0.674153 | − | 0.738592i | \(-0.264509\pi\) |
0.167820 | + | 0.985818i | \(0.446327\pi\) | |||||||
\(62\) | 1.53739 | + | 10.6928i | 0.195249 | + | 1.35798i | ||||
\(63\) | −0.654861 | − | 0.755750i | −0.0825047 | − | 0.0952155i | ||||
\(64\) | 2.09394 | + | 1.34569i | 0.261742 | + | 0.168212i | ||||
\(65\) | 2.26251 | − | 2.61107i | 0.280630 | − | 0.323864i | ||||
\(66\) | −7.97362 | + | 2.34127i | −0.981485 | + | 0.288190i | ||||
\(67\) | 2.36319 | + | 5.17466i | 0.288709 | + | 0.632185i | 0.997300 | − | 0.0734344i | \(-0.0233960\pi\) |
−0.708591 | + | 0.705620i | \(0.750669\pi\) | |||||||
\(68\) | 2.06532 | 0.250457 | ||||||||
\(69\) | 0.570283 | + | 4.76180i | 0.0686541 | + | 0.573254i | ||||
\(70\) | −5.00453 | −0.598156 | ||||||||
\(71\) | 1.31231 | + | 2.87356i | 0.155743 | + | 0.341029i | 0.971379 | − | 0.237536i | \(-0.0763399\pi\) |
−0.815636 | + | 0.578566i | \(0.803613\pi\) | |||||||
\(72\) | 1.88745 | − | 0.554206i | 0.222439 | − | 0.0653139i | ||||
\(73\) | 3.77134 | − | 4.35236i | 0.441402 | − | 0.509405i | −0.490835 | − | 0.871252i | \(-0.663308\pi\) |
0.932237 | + | 0.361847i | \(0.117854\pi\) | |||||||
\(74\) | 1.20618 | + | 0.775167i | 0.140216 | + | 0.0901113i | ||||
\(75\) | −2.51948 | − | 2.90764i | −0.290925 | − | 0.335745i | ||||
\(76\) | 0.683851 | + | 4.75629i | 0.0784430 | + | 0.545583i | ||||
\(77\) | −4.73913 | − | 1.39153i | −0.540074 | − | 0.158580i | ||||
\(78\) | 1.64406 | − | 1.05658i | 0.186153 | − | 0.119634i | ||||
\(79\) | −0.688738 | + | 4.79028i | −0.0774891 | + | 0.538949i | 0.913689 | + | 0.406414i | \(0.133221\pi\) |
−0.991178 | + | 0.132535i | \(0.957688\pi\) | |||||||
\(80\) | 6.14279 | − | 13.4508i | 0.686785 | − | 1.50385i | ||||
\(81\) | 0.415415 | − | 0.909632i | 0.0461572 | − | 0.101070i | ||||
\(82\) | 2.21693 | − | 15.4191i | 0.244819 | − | 1.70276i | ||||
\(83\) | −7.71983 | + | 4.96124i | −0.847362 | + | 0.544566i | −0.890751 | − | 0.454492i | \(-0.849821\pi\) |
0.0433891 | + | 0.999058i | \(0.486184\pi\) | |||||||
\(84\) | −0.797176 | − | 0.234072i | −0.0869790 | − | 0.0255393i | ||||
\(85\) | 1.05228 | + | 7.31877i | 0.114136 | + | 0.793832i | ||||
\(86\) | −6.95864 | − | 8.03070i | −0.750370 | − | 0.865973i | ||||
\(87\) | −4.43996 | − | 2.85339i | −0.476014 | − | 0.305915i | ||||
\(88\) | 6.36269 | − | 7.34293i | 0.678265 | − | 0.782759i | ||||
\(89\) | 0.622265 | − | 0.182713i | 0.0659599 | − | 0.0193676i | −0.248586 | − | 0.968610i | \(-0.579966\pi\) |
0.314546 | + | 0.949242i | \(0.398148\pi\) | |||||||
\(90\) | −2.07896 | − | 4.55228i | −0.219141 | − | 0.479853i | ||||
\(91\) | 1.16154 | 0.121763 | ||||||||
\(92\) | 2.53750 | + | 3.07205i | 0.264553 | + | 0.320283i | ||||
\(93\) | −6.42062 | −0.665787 | ||||||||
\(94\) | −4.91990 | − | 10.7731i | −0.507449 | − | 1.11116i | ||||
\(95\) | −16.5062 | + | 4.84666i | −1.69350 | + | 0.497257i | ||||
\(96\) | 2.90111 | − | 3.34805i | 0.296093 | − | 0.341709i | ||||
\(97\) | 2.40373 | + | 1.54478i | 0.244061 | + | 0.156849i | 0.656953 | − | 0.753931i | \(-0.271845\pi\) |
−0.412892 | + | 0.910780i | \(0.635481\pi\) | |||||||
\(98\) | −1.10181 | − | 1.27155i | −0.111299 | − | 0.128446i | ||||
\(99\) | −0.702922 | − | 4.88893i | −0.0706463 | − | 0.491356i | ||||
\(100\) | −3.06702 | − | 0.900558i | −0.306702 | − | 0.0900558i | ||||
\(101\) | 13.4143 | − | 8.62084i | 1.33477 | − | 0.857805i | 0.338243 | − | 0.941059i | \(-0.390168\pi\) |
0.996528 | + | 0.0832537i | \(0.0265312\pi\) | |||||||
\(102\) | −0.595226 | + | 4.13989i | −0.0589361 | + | 0.409910i | ||||
\(103\) | −3.43082 | + | 7.51245i | −0.338049 | + | 0.740224i | −0.999956 | − | 0.00936183i | \(-0.997020\pi\) |
0.661907 | + | 0.749586i | \(0.269747\pi\) | |||||||
\(104\) | −0.949186 | + | 2.07843i | −0.0930754 | + | 0.203807i | ||||
\(105\) | 0.423308 | − | 2.94417i | 0.0413107 | − | 0.287322i | ||||
\(106\) | 19.1858 | − | 12.3300i | 1.86349 | − | 1.19759i | ||||
\(107\) | 12.5745 | + | 3.69219i | 1.21562 | + | 0.356938i | 0.825805 | − | 0.563956i | \(-0.190721\pi\) |
0.389814 | + | 0.920894i | \(0.372539\pi\) | |||||||
\(108\) | −0.118239 | − | 0.822373i | −0.0113776 | − | 0.0791329i | ||||
\(109\) | 2.58631 | + | 2.98476i | 0.247723 | + | 0.285888i | 0.865970 | − | 0.500096i | \(-0.166702\pi\) |
−0.618246 | + | 0.785984i | \(0.712157\pi\) | |||||||
\(110\) | −20.7945 | − | 13.3638i | −1.98267 | − | 1.27419i | ||||
\(111\) | −0.558057 | + | 0.644032i | −0.0529684 | + | 0.0611288i | ||||
\(112\) | 4.77001 | − | 1.40060i | 0.450723 | − | 0.132344i | ||||
\(113\) | −1.52195 | − | 3.33261i | −0.143173 | − | 0.313505i | 0.824437 | − | 0.565953i | \(-0.191492\pi\) |
−0.967611 | + | 0.252448i | \(0.918764\pi\) | |||||||
\(114\) | −9.73096 | −0.911388 | ||||||||
\(115\) | −9.59342 | + | 10.5572i | −0.894591 | + | 0.984468i | ||||
\(116\) | −4.38495 | −0.407132 | ||||||||
\(117\) | 0.482522 | + | 1.05658i | 0.0446091 | + | 0.0976804i | ||||
\(118\) | 0.891502 | − | 0.261768i | 0.0820694 | − | 0.0240977i | ||||
\(119\) | −1.62788 | + | 1.87868i | −0.149228 | + | 0.172218i | ||||
\(120\) | 4.92230 | + | 3.16337i | 0.449343 | + | 0.288775i | ||||
\(121\) | −8.77234 | − | 10.1238i | −0.797486 | − | 0.920348i | ||||
\(122\) | 1.64107 | + | 11.4139i | 0.148576 | + | 1.03337i | ||||
\(123\) | 8.88357 | + | 2.60845i | 0.801004 | + | 0.235196i | ||||
\(124\) | −4.48762 | + | 2.88402i | −0.403000 | + | 0.258993i | ||||
\(125\) | −0.487924 | + | 3.39359i | −0.0436413 | + | 0.303532i | ||||
\(126\) | 0.698939 | − | 1.53046i | 0.0622664 | − | 0.136344i | ||||
\(127\) | 1.05108 | − | 2.30154i | 0.0932683 | − | 0.204229i | −0.857248 | − | 0.514904i | \(-0.827828\pi\) |
0.950516 | + | 0.310675i | \(0.100555\pi\) | |||||||
\(128\) | −1.85694 | + | 12.9153i | −0.164132 | + | 1.14156i | ||||
\(129\) | 5.31307 | − | 3.41450i | 0.467790 | − | 0.300630i | ||||
\(130\) | 5.57751 | + | 1.63770i | 0.489180 | + | 0.143636i | ||||
\(131\) | 2.32174 | + | 16.1481i | 0.202852 | + | 1.41086i | 0.795769 | + | 0.605600i | \(0.207067\pi\) |
−0.592917 | + | 0.805263i | \(0.702024\pi\) | |||||||
\(132\) | −2.68731 | − | 3.10132i | −0.233901 | − | 0.269936i | ||||
\(133\) | −4.86548 | − | 3.12685i | −0.421891 | − | 0.271133i | ||||
\(134\) | −6.26790 | + | 7.23354i | −0.541464 | + | 0.624883i | ||||
\(135\) | 2.85396 | − | 0.837999i | 0.245630 | − | 0.0721235i | ||||
\(136\) | −2.03138 | − | 4.44810i | −0.174189 | − | 0.381422i | ||||
\(137\) | −19.8966 | −1.69988 | −0.849942 | − | 0.526877i | \(-0.823363\pi\) | ||||
−0.849942 | + | 0.526877i | \(0.823363\pi\) | |||||||
\(138\) | −6.88917 | + | 4.20101i | −0.586445 | + | 0.357613i | ||||
\(139\) | 1.96713 | 0.166850 | 0.0834250 | − | 0.996514i | \(-0.473414\pi\) | ||||
0.0834250 | + | 0.996514i | \(0.473414\pi\) | |||||||
\(140\) | −1.02660 | − | 2.24794i | −0.0867635 | − | 0.189986i | ||||
\(141\) | 6.75396 | − | 1.98314i | 0.568786 | − | 0.167011i | ||||
\(142\) | −3.48066 | + | 4.01689i | −0.292090 | + | 0.337090i | ||||
\(143\) | 4.82635 | + | 3.10170i | 0.403599 | + | 0.259378i | ||||
\(144\) | 3.25556 | + | 3.75712i | 0.271297 | + | 0.313093i | ||||
\(145\) | −2.23413 | − | 15.5387i | −0.185535 | − | 1.29042i | ||||
\(146\) | 9.29706 | + | 2.72986i | 0.769430 | + | 0.225925i | ||||
\(147\) | 0.841254 | − | 0.540641i | 0.0693854 | − | 0.0445913i | ||||
\(148\) | −0.100761 | + | 0.700807i | −0.00828249 | + | 0.0576060i | ||||
\(149\) | −7.92976 | + | 17.3637i | −0.649631 | + | 1.42249i | 0.242246 | + | 0.970215i | \(0.422116\pi\) |
−0.891877 | + | 0.452279i | \(0.850611\pi\) | |||||||
\(150\) | 2.68907 | − | 5.88823i | 0.219561 | − | 0.480772i | ||||
\(151\) | 2.30425 | − | 16.0264i | 0.187517 | − | 1.30421i | −0.650893 | − | 0.759169i | \(-0.725606\pi\) |
0.838410 | − | 0.545040i | \(-0.183485\pi\) | |||||||
\(152\) | 9.57107 | − | 6.15095i | 0.776316 | − | 0.498908i | ||||
\(153\) | −2.38515 | − | 0.700344i | −0.192828 | − | 0.0566195i | ||||
\(154\) | −1.18267 | − | 8.22566i | −0.0953024 | − | 0.662843i | ||||
\(155\) | −12.5064 | − | 14.4332i | −1.00454 | − | 1.15930i | ||||
\(156\) | 0.811846 | + | 0.521742i | 0.0649997 | + | 0.0417728i | ||||
\(157\) | −11.4560 | + | 13.2209i | −0.914284 | + | 1.05514i | 0.0839928 | + | 0.996466i | \(0.473233\pi\) |
−0.998277 | + | 0.0586740i | \(0.981313\pi\) | |||||||
\(158\) | −7.81273 | + | 2.29402i | −0.621547 | + | 0.182503i | ||||
\(159\) | 5.63091 | + | 12.3300i | 0.446560 | + | 0.977831i | ||||
\(160\) | 13.1771 | 1.04174 | ||||||||
\(161\) | −4.79450 | − | 0.113197i | −0.377859 | − | 0.00892114i | ||||
\(162\) | 1.68251 | 0.132190 | ||||||||
\(163\) | −4.76876 | − | 10.4421i | −0.373518 | − | 0.817890i | −0.999282 | − | 0.0378780i | \(-0.987940\pi\) |
0.625765 | − | 0.780012i | \(-0.284787\pi\) | |||||||
\(164\) | 7.38074 | − | 2.16718i | 0.576339 | − | 0.169228i | ||||
\(165\) | 9.62083 | − | 11.1030i | 0.748981 | − | 0.864370i | ||||
\(166\) | −12.9887 | − | 8.34731i | −1.00812 | − | 0.647877i | ||||
\(167\) | 15.3370 | + | 17.6998i | 1.18681 | + | 1.36965i | 0.913046 | + | 0.407857i | \(0.133724\pi\) |
0.273766 | + | 0.961796i | \(0.411731\pi\) | |||||||
\(168\) | 0.279953 | + | 1.94711i | 0.0215988 | + | 0.150223i | ||||
\(169\) | 11.1789 | + | 3.28242i | 0.859914 | + | 0.252494i | ||||
\(170\) | −10.4656 | + | 6.72585i | −0.802677 | + | 0.515849i | ||||
\(171\) | 0.823093 | − | 5.72474i | 0.0629435 | − | 0.437782i | ||||
\(172\) | 2.17978 | − | 4.77306i | 0.166207 | − | 0.363942i | ||||
\(173\) | 7.41299 | − | 16.2322i | 0.563599 | − | 1.23411i | −0.386537 | − | 0.922274i | \(-0.626329\pi\) |
0.950136 | − | 0.311836i | \(-0.100944\pi\) | |||||||
\(174\) | 1.26374 | − | 8.78954i | 0.0958042 | − | 0.666333i | ||||
\(175\) | 3.23660 | − | 2.08004i | 0.244664 | − | 0.157236i | ||||
\(176\) | 23.5600 | + | 6.91785i | 1.77590 | + | 0.521453i | ||||
\(177\) | 0.0785911 | + | 0.546613i | 0.00590727 | + | 0.0410860i | ||||
\(178\) | 0.714561 | + | 0.824647i | 0.0535586 | + | 0.0618099i | ||||
\(179\) | 7.36286 | + | 4.73182i | 0.550326 | + | 0.353673i | 0.786065 | − | 0.618143i | \(-0.212115\pi\) |
−0.235740 | + | 0.971816i | \(0.575751\pi\) | |||||||
\(180\) | 1.61833 | − | 1.86766i | 0.120623 | − | 0.139207i | ||||
\(181\) | 20.2362 | − | 5.94188i | 1.50414 | − | 0.441656i | 0.577120 | − | 0.816660i | \(-0.304177\pi\) |
0.927023 | + | 0.375003i | \(0.122358\pi\) | |||||||
\(182\) | 0.811846 | + | 1.77769i | 0.0601780 | + | 0.131772i | ||||
\(183\) | −6.85364 | −0.506636 | ||||||||
\(184\) | 4.12051 | − | 8.48663i | 0.303768 | − | 0.625642i | ||||
\(185\) | −2.53476 | −0.186359 | ||||||||
\(186\) | −4.48762 | − | 9.82652i | −0.329048 | − | 0.720515i | ||||
\(187\) | −11.7808 | + | 3.45914i | −0.861495 | + | 0.252958i | ||||
\(188\) | 3.82982 | − | 4.41985i | 0.279318 | − | 0.322350i | ||||
\(189\) | 0.841254 | + | 0.540641i | 0.0611922 | + | 0.0393258i | ||||
\(190\) | −18.9545 | − | 21.8746i | −1.37510 | − | 1.58695i | ||||
\(191\) | 2.97341 | + | 20.6805i | 0.215148 | + | 1.49639i | 0.755611 | + | 0.655020i | \(0.227340\pi\) |
−0.540463 | + | 0.841368i | \(0.681751\pi\) | |||||||
\(192\) | −2.38825 | − | 0.701252i | −0.172357 | − | 0.0506085i | ||||
\(193\) | −18.9755 | + | 12.1948i | −1.36589 | + | 0.877801i | −0.998630 | − | 0.0523190i | \(-0.983339\pi\) |
−0.367255 | + | 0.930120i | \(0.619702\pi\) | |||||||
\(194\) | −0.684172 | + | 4.75852i | −0.0491207 | + | 0.341642i | ||||
\(195\) | −1.43524 | + | 3.14273i | −0.102779 | + | 0.225056i | ||||
\(196\) | 0.345139 | − | 0.755750i | 0.0246528 | − | 0.0539821i | ||||
\(197\) | −0.165477 | + | 1.15092i | −0.0117897 | + | 0.0819993i | −0.994867 | − | 0.101193i | \(-0.967734\pi\) |
0.983077 | + | 0.183192i | \(0.0586431\pi\) | |||||||
\(198\) | 6.99102 | − | 4.49286i | 0.496830 | − | 0.319294i | ||||
\(199\) | −11.9966 | − | 3.52251i | −0.850413 | − | 0.249704i | −0.172649 | − | 0.984983i | \(-0.555233\pi\) |
−0.677764 | + | 0.735279i | \(0.737051\pi\) | |||||||
\(200\) | 1.07708 | + | 7.49124i | 0.0761609 | + | 0.529711i | ||||
\(201\) | −3.72533 | − | 4.29926i | −0.262765 | − | 0.303247i | ||||
\(202\) | 22.5696 | + | 14.5046i | 1.58799 | + | 1.02054i | ||||
\(203\) | 3.45622 | − | 3.98869i | 0.242579 | − | 0.279951i | ||||
\(204\) | −1.98166 | + | 0.581867i | −0.138744 | + | 0.0407389i | ||||
\(205\) | 11.4402 | + | 25.0506i | 0.799020 | + | 1.74961i | ||||
\(206\) | −13.8955 | −0.968143 | ||||||||
\(207\) | −1.88874 | − | 4.40825i | −0.131276 | − | 0.306395i | ||||
\(208\) | −5.77446 | −0.400387 | ||||||||
\(209\) | −11.8669 | − | 25.9849i | −0.820852 | − | 1.79742i | ||||
\(210\) | 4.80181 | − | 1.40994i | 0.331357 | − | 0.0972951i | ||||
\(211\) | −6.66039 | + | 7.68650i | −0.458520 | + | 0.529160i | −0.937183 | − | 0.348839i | \(-0.886576\pi\) |
0.478663 | + | 0.877999i | \(0.341122\pi\) | |||||||
\(212\) | 9.47405 | + | 6.08860i | 0.650681 | + | 0.418167i | ||||
\(213\) | −2.06873 | − | 2.38744i | −0.141747 | − | 0.163585i | ||||
\(214\) | 3.13801 | + | 21.8254i | 0.214510 | + | 1.49195i | ||||
\(215\) | 18.0247 | + | 5.29252i | 1.22927 | + | 0.360947i | ||||
\(216\) | −1.65486 | + | 1.06351i | −0.112599 | + | 0.0723630i | ||||
\(217\) | 0.913750 | − | 6.35527i | 0.0620294 | − | 0.431424i | ||||
\(218\) | −2.76039 | + | 6.04441i | −0.186957 | + | 0.409379i | ||||
\(219\) | −2.39237 | + | 5.23857i | −0.161662 | + | 0.353990i | ||||
\(220\) | 1.73711 | − | 12.0818i | 0.117116 | − | 0.814557i | ||||
\(221\) | 2.42905 | − | 1.56105i | 0.163395 | − | 0.105008i | ||||
\(222\) | −1.37571 | − | 0.403946i | −0.0923319 | − | 0.0271111i | ||||
\(223\) | 2.69112 | + | 18.7172i | 0.180211 | + | 1.25339i | 0.856263 | + | 0.516540i | \(0.172780\pi\) |
−0.676052 | + | 0.736854i | \(0.736310\pi\) | |||||||
\(224\) | 2.90111 | + | 3.34805i | 0.193838 | + | 0.223701i | ||||
\(225\) | 3.23660 | + | 2.08004i | 0.215773 | + | 0.138669i | ||||
\(226\) | 4.03668 | − | 4.65858i | 0.268516 | − | 0.309884i | ||||
\(227\) | 11.3065 | − | 3.31990i | 0.750441 | − | 0.220349i | 0.115924 | − | 0.993258i | \(-0.463017\pi\) |
0.634517 | + | 0.772909i | \(0.281199\pi\) | |||||||
\(228\) | −1.99615 | − | 4.37096i | −0.132198 | − | 0.289474i | ||||
\(229\) | 23.0550 | 1.52352 | 0.761759 | − | 0.647860i | \(-0.224336\pi\) | ||||
0.761759 | + | 0.647860i | \(0.224336\pi\) | |||||||
\(230\) | −22.8627 | − | 7.30350i | −1.50752 | − | 0.481579i | ||||
\(231\) | 4.93920 | 0.324976 | ||||||||
\(232\) | 4.31290 | + | 9.44393i | 0.283156 | + | 0.620024i | ||||
\(233\) | 5.46980 | − | 1.60608i | 0.358338 | − | 0.105218i | −0.0976079 | − | 0.995225i | \(-0.531119\pi\) |
0.455946 | + | 0.890007i | \(0.349301\pi\) | |||||||
\(234\) | −1.27980 | + | 1.47696i | −0.0836628 | + | 0.0965520i | ||||
\(235\) | 17.6137 | + | 11.3196i | 1.14899 | + | 0.738412i | ||||
\(236\) | 0.300459 | + | 0.346748i | 0.0195582 | + | 0.0225713i | ||||
\(237\) | −0.688738 | − | 4.79028i | −0.0447384 | − | 0.311162i | ||||
\(238\) | −4.01304 | − | 1.17833i | −0.260127 | − | 0.0763801i | ||||
\(239\) | −17.2343 | + | 11.0758i | −1.11479 | + | 0.716434i | −0.962332 | − | 0.271875i | \(-0.912356\pi\) |
−0.152461 | + | 0.988310i | \(0.548720\pi\) | |||||||
\(240\) | −2.10443 | + | 14.6366i | −0.135840 | + | 0.944789i | ||||
\(241\) | −4.01316 | + | 8.78759i | −0.258510 | + | 0.566058i | −0.993735 | − | 0.111765i | \(-0.964350\pi\) |
0.735224 | + | 0.677824i | \(0.237077\pi\) | |||||||
\(242\) | 9.36280 | − | 20.5017i | 0.601864 | − | 1.31790i | ||||
\(243\) | −0.142315 | + | 0.989821i | −0.00912950 | + | 0.0634971i | ||||
\(244\) | −4.79027 | + | 3.07852i | −0.306666 | + | 0.197082i | ||||
\(245\) | 2.85396 | + | 0.837999i | 0.182333 | + | 0.0535378i | ||||
\(246\) | 2.21693 | + | 15.4191i | 0.141347 | + | 0.983087i | ||||
\(247\) | 4.39929 | + | 5.07705i | 0.279920 | + | 0.323045i | ||||
\(248\) | 10.6252 | + | 6.82842i | 0.674703 | + | 0.433605i | ||||
\(249\) | 6.00938 | − | 6.93520i | 0.380829 | − | 0.439500i | ||||
\(250\) | −5.53479 | + | 1.62516i | −0.350051 | + | 0.102784i | ||||
\(251\) | 2.86876 | + | 6.28170i | 0.181074 | + | 0.396498i | 0.978303 | − | 0.207180i | \(-0.0664286\pi\) |
−0.797228 | + | 0.603678i | \(0.793701\pi\) | |||||||
\(252\) | 0.830830 | 0.0523374 | ||||||||
\(253\) | −19.6194 | − | 13.2733i | −1.23346 | − | 0.834483i | ||||
\(254\) | 4.25707 | 0.267112 | ||||||||
\(255\) | −3.07159 | − | 6.72585i | −0.192351 | − | 0.421189i | ||||
\(256\) | −16.2878 | + | 4.78252i | −1.01798 | + | 0.298907i | ||||
\(257\) | 8.50844 | − | 9.81927i | 0.530742 | − | 0.612509i | −0.425545 | − | 0.904937i | \(-0.639918\pi\) |
0.956288 | + | 0.292428i | \(0.0944632\pi\) | |||||||
\(258\) | 8.93928 | + | 5.74492i | 0.556535 | + | 0.357663i | ||||
\(259\) | −0.558057 | − | 0.644032i | −0.0346760 | − | 0.0400182i | ||||
\(260\) | 0.408511 | + | 2.84126i | 0.0253348 | + | 0.176207i | ||||
\(261\) | 5.06400 | + | 1.48693i | 0.313454 | + | 0.0920384i | ||||
\(262\) | −23.0913 | + | 14.8398i | −1.42658 | + | 0.916809i | ||||
\(263\) | 2.35917 | − | 16.4084i | 0.145472 | − | 1.01178i | −0.778040 | − | 0.628215i | \(-0.783786\pi\) |
0.923513 | − | 0.383568i | \(-0.125305\pi\) | |||||||
\(264\) | −4.03621 | + | 8.83807i | −0.248412 | + | 0.543945i | ||||
\(265\) | −16.7489 | + | 36.6749i | −1.02888 | + | 2.25292i | ||||
\(266\) | 1.38486 | − | 9.63191i | 0.0849112 | − | 0.590571i | ||||
\(267\) | −0.545582 | + | 0.350624i | −0.0333891 | + | 0.0214579i | ||||
\(268\) | −4.53492 | − | 1.33157i | −0.277015 | − | 0.0813388i | ||||
\(269\) | 1.79067 | + | 12.4544i | 0.109179 | + | 0.759358i | 0.968696 | + | 0.248250i | \(0.0798555\pi\) |
−0.859517 | + | 0.511107i | \(0.829235\pi\) | |||||||
\(270\) | 3.27727 | + | 3.78217i | 0.199448 | + | 0.230176i | ||||
\(271\) | −10.3829 | − | 6.67265i | −0.630713 | − | 0.405335i | 0.185860 | − | 0.982576i | \(-0.440493\pi\) |
−0.816574 | + | 0.577241i | \(0.804129\pi\) | |||||||
\(272\) | 8.09284 | − | 9.33963i | 0.490700 | − | 0.566298i | ||||
\(273\) | −1.11449 | + | 0.327244i | −0.0674520 | + | 0.0198057i | ||||
\(274\) | −13.9065 | − | 30.4510i | −0.840124 | − | 1.83961i | ||||
\(275\) | 19.0029 | 1.14592 | ||||||||
\(276\) | −3.30021 | − | 2.23271i | −0.198649 | − | 0.134393i | ||||
\(277\) | 17.4586 | 1.04899 | 0.524493 | − | 0.851415i | \(-0.324255\pi\) | ||||
0.524493 | + | 0.851415i | \(0.324255\pi\) | |||||||
\(278\) | 1.37490 | + | 3.01062i | 0.0824613 | + | 0.180565i | ||||
\(279\) | 6.16054 | − | 1.80890i | 0.368822 | − | 0.108296i | ||||
\(280\) | −3.83169 | + | 4.42200i | −0.228987 | + | 0.264265i | ||||
\(281\) | −3.16062 | − | 2.03121i | −0.188547 | − | 0.121172i | 0.442962 | − | 0.896540i | \(-0.353928\pi\) |
−0.631509 | + | 0.775369i | \(0.717564\pi\) | |||||||
\(282\) | 7.75573 | + | 8.95059i | 0.461847 | + | 0.533000i | ||||
\(283\) | −2.84864 | − | 19.8127i | −0.169334 | − | 1.17774i | −0.880265 | − | 0.474482i | \(-0.842635\pi\) |
0.710931 | − | 0.703261i | \(-0.248274\pi\) | |||||||
\(284\) | −2.51831 | − | 0.739442i | −0.149434 | − | 0.0438778i | ||||
\(285\) | 14.4721 | − | 9.30067i | 0.857255 | − | 0.550924i | ||||
\(286\) | −1.37372 | + | 9.55444i | −0.0812299 | + | 0.564966i | ||||
\(287\) | −3.84616 | + | 8.42193i | −0.227032 | + | 0.497131i | ||||
\(288\) | −1.84033 | + | 4.02977i | −0.108443 | + | 0.237457i | ||||
\(289\) | 1.53993 | − | 10.7104i | 0.0905839 | − | 0.630025i | ||||
\(290\) | 22.2199 | − | 14.2799i | 1.30480 | − | 0.838544i | ||||
\(291\) | −2.74157 | − | 0.804999i | −0.160714 | − | 0.0471899i | ||||
\(292\) | 0.680941 | + | 4.73605i | 0.0398490 | + | 0.277156i | ||||
\(293\) | −13.0037 | − | 15.0071i | −0.759685 | − | 0.876723i | 0.235785 | − | 0.971805i | \(-0.424234\pi\) |
−0.995469 | + | 0.0950825i | \(0.969689\pi\) | |||||||
\(294\) | 1.41542 | + | 0.909632i | 0.0825487 | + | 0.0530508i | ||||
\(295\) | −1.07567 | + | 1.24139i | −0.0626279 | + | 0.0722765i | ||||
\(296\) | 1.60844 | − | 0.472282i | 0.0934889 | − | 0.0274508i | ||||
\(297\) | 2.05182 | + | 4.49286i | 0.119059 | + | 0.260702i | ||||
\(298\) | −32.1170 | −1.86049 | ||||||||
\(299\) | 5.30638 | + | 1.69513i | 0.306876 | + | 0.0980317i | ||||
\(300\) | 3.19650 | 0.184550 | ||||||||
\(301\) | 2.62362 | + | 5.74492i | 0.151223 | + | 0.331132i | ||||
\(302\) | 26.1383 | − | 7.67490i | 1.50409 | − | 0.441641i | ||||
\(303\) | −10.4421 | + | 12.0509i | −0.599885 | + | 0.692305i | ||||
\(304\) | 24.1882 | + | 15.5448i | 1.38729 | + | 0.891555i | ||||
\(305\) | −13.3499 | − | 15.4066i | −0.764411 | − | 0.882178i | ||||
\(306\) | −0.595226 | − | 4.13989i | −0.0340268 | − | 0.236662i | ||||
\(307\) | 19.6743 | + | 5.77688i | 1.12287 | + | 0.329704i | 0.789901 | − | 0.613234i | \(-0.210132\pi\) |
0.332968 | + | 0.942938i | \(0.391950\pi\) | |||||||
\(308\) | 3.45220 | − | 2.21859i | 0.196707 | − | 0.126416i | ||||
\(309\) | 1.17535 | − | 8.17472i | 0.0668632 | − | 0.465044i | ||||
\(310\) | 13.3482 | − | 29.2285i | 0.758127 | − | 1.66007i | ||||
\(311\) | 4.17554 | − | 9.14316i | 0.236773 | − | 0.518461i | −0.753525 | − | 0.657419i | \(-0.771648\pi\) |
0.990298 | + | 0.138958i | \(0.0443753\pi\) | |||||||
\(312\) | 0.325177 | − | 2.26165i | 0.0184095 | − | 0.128041i | ||||
\(313\) | −0.243828 | + | 0.156699i | −0.0137820 | + | 0.00885715i | −0.547514 | − | 0.836797i | \(-0.684426\pi\) |
0.533732 | + | 0.845654i | \(0.320789\pi\) | |||||||
\(314\) | −28.2411 | − | 8.29232i | −1.59373 | − | 0.467963i | ||||
\(315\) | 0.423308 | + | 2.94417i | 0.0238507 | + | 0.165885i | ||||
\(316\) | −2.63309 | − | 3.03874i | −0.148123 | − | 0.170943i | ||||
\(317\) | 18.4583 | + | 11.8624i | 1.03672 | + | 0.666261i | 0.944174 | − | 0.329447i | \(-0.106862\pi\) |
0.0925486 | + | 0.995708i | \(0.470499\pi\) | |||||||
\(318\) | −14.9349 | + | 17.2358i | −0.837508 | + | 0.966536i | ||||
\(319\) | 25.0122 | − | 7.34423i | 1.40041 | − | 0.411198i | ||||
\(320\) | −3.07557 | − | 6.73456i | −0.171930 | − | 0.376474i | ||||
\(321\) | −13.1053 | −0.731467 | ||||||||
\(322\) | −3.17782 | − | 7.41691i | −0.177093 | − | 0.413328i | ||||
\(323\) | −14.3772 | −0.799967 | ||||||||
\(324\) | 0.345139 | + | 0.755750i | 0.0191744 | + | 0.0419861i | ||||
\(325\) | −4.28784 | + | 1.25902i | −0.237847 | + | 0.0698381i | ||||
\(326\) | 12.6482 | − | 14.5968i | 0.700519 | − | 0.808442i | ||||
\(327\) | −3.32245 | − | 2.13521i | −0.183732 | − | 0.118077i | ||||
\(328\) | −11.9269 | − | 13.7644i | −0.658555 | − | 0.760013i | ||||
\(329\) | 1.00177 | + | 6.96745i | 0.0552293 | + | 0.384128i | ||||
\(330\) | 23.7171 | + | 6.96398i | 1.30559 | + | 0.383355i | ||||
\(331\) | −19.6751 | + | 12.6444i | −1.08144 | + | 0.694999i | −0.954890 | − | 0.296961i | \(-0.904027\pi\) |
−0.126551 | + | 0.991960i | \(0.540391\pi\) | |||||||
\(332\) | 1.08503 | − | 7.54658i | 0.0595490 | − | 0.414172i | ||||
\(333\) | 0.354007 | − | 0.775167i | 0.0193995 | − | 0.0424789i | ||||
\(334\) | −16.3693 | + | 35.8438i | −0.895688 | + | 1.96128i | ||||
\(335\) | 2.40809 | − | 16.7486i | 0.131568 | − | 0.915076i | ||||
\(336\) | −4.18219 | + | 2.68773i | −0.228157 | + | 0.146628i | ||||
\(337\) | 12.7046 | + | 3.73041i | 0.692065 | + | 0.203209i | 0.608806 | − | 0.793319i | \(-0.291649\pi\) |
0.0832592 | + | 0.996528i | \(0.473467\pi\) | |||||||
\(338\) | 2.78974 | + | 19.4031i | 0.151742 | + | 1.05539i | ||||
\(339\) | 2.39921 | + | 2.76883i | 0.130307 | + | 0.150382i | ||||
\(340\) | −5.16798 | − | 3.32126i | −0.280273 | − | 0.180120i | ||||
\(341\) | 20.7674 | − | 23.9669i | 1.12462 | − | 1.29788i | ||||
\(342\) | 9.33679 | − | 2.74153i | 0.504876 | − | 0.148245i | ||||
\(343\) | 0.415415 | + | 0.909632i | 0.0224303 | + | 0.0491155i | ||||
\(344\) | −12.4238 | −0.669844 | ||||||||
\(345\) | 6.23050 | − | 12.8324i | 0.335439 | − | 0.690872i | ||||
\(346\) | 30.0240 | 1.61410 | ||||||||
\(347\) | 5.45426 | + | 11.9432i | 0.292800 | + | 0.641142i | 0.997672 | − | 0.0681920i | \(-0.0217231\pi\) |
−0.704872 | + | 0.709334i | \(0.748996\pi\) | |||||||
\(348\) | 4.20733 | − | 1.23538i | 0.225536 | − | 0.0662235i | ||||
\(349\) | 13.5127 | − | 15.5945i | 0.723320 | − | 0.834756i | −0.268382 | − | 0.963312i | \(-0.586489\pi\) |
0.991702 | + | 0.128557i | \(0.0410345\pi\) | |||||||
\(350\) | 5.44560 | + | 3.49968i | 0.291080 | + | 0.187066i | ||||
\(351\) | −0.760648 | − | 0.877834i | −0.0406004 | − | 0.0468553i | ||||
\(352\) | 3.11402 | + | 21.6585i | 0.165978 | + | 1.15440i | ||||
\(353\) | −28.5422 | − | 8.38074i | −1.51915 | − | 0.446062i | −0.587438 | − | 0.809269i | \(-0.699863\pi\) |
−0.931708 | + | 0.363208i | \(0.881682\pi\) | |||||||
\(354\) | −0.781641 | + | 0.502330i | −0.0415437 | + | 0.0266985i | ||||
\(355\) | 1.33725 | − | 9.30077i | 0.0709738 | − | 0.493633i | ||||
\(356\) | −0.223835 | + | 0.490130i | −0.0118632 | + | 0.0259768i | ||||
\(357\) | 1.03266 | − | 2.26121i | 0.0546541 | − | 0.119676i | ||||
\(358\) | −2.09569 | + | 14.5758i | −0.110761 | + | 0.770356i | ||||
\(359\) | 29.1923 | − | 18.7607i | 1.54071 | − | 0.990154i | 0.553118 | − | 0.833103i | \(-0.313438\pi\) |
0.987591 | − | 0.157051i | \(-0.0501987\pi\) | |||||||
\(360\) | −5.61414 | − | 1.64846i | −0.295891 | − | 0.0868814i | ||||
\(361\) | −2.05647 | − | 14.3030i | −0.108235 | − | 0.752792i | ||||
\(362\) | 23.2377 | + | 26.8177i | 1.22134 | + | 1.40951i | ||||
\(363\) | 11.2692 | + | 7.24228i | 0.591480 | + | 0.380121i | ||||
\(364\) | −0.631969 | + | 0.729331i | −0.0331242 | + | 0.0382273i | ||||
\(365\) | −16.4360 | + | 4.82604i | −0.860298 | + | 0.252606i | ||||
\(366\) | −4.79027 | − | 10.4892i | −0.250392 | − | 0.548281i | ||||
\(367\) | 8.08738 | 0.422158 | 0.211079 | − | 0.977469i | \(-0.432302\pi\) | ||||
0.211079 | + | 0.977469i | \(0.432302\pi\) | |||||||
\(368\) | 23.8353 | + | 0.562743i | 1.24250 | + | 0.0293350i | ||||
\(369\) | −9.25861 | −0.481984 | ||||||||
\(370\) | −1.77164 | − | 3.87935i | −0.0921031 | − | 0.201678i | ||||
\(371\) | −13.0058 | + | 3.81886i | −0.675230 | + | 0.198265i | ||||
\(372\) | 3.49332 | − | 4.03150i | 0.181120 | − | 0.209024i | ||||
\(373\) | −19.6724 | − | 12.6427i | −1.01860 | − | 0.654615i | −0.0789954 | − | 0.996875i | \(-0.525171\pi\) |
−0.939605 | + | 0.342260i | \(0.888808\pi\) | |||||||
\(374\) | −13.5281 | − | 15.6123i | −0.699523 | − | 0.807292i | ||||
\(375\) | −0.487924 | − | 3.39359i | −0.0251963 | − | 0.175244i | ||||
\(376\) | −13.2860 | − | 3.90111i | −0.685172 | − | 0.201185i | ||||
\(377\) | −5.15720 | + | 3.31433i | −0.265609 | + | 0.170697i | ||||
\(378\) | −0.239446 | + | 1.66538i | −0.0123158 | + | 0.0856580i | ||||
\(379\) | −4.60367 | + | 10.0806i | −0.236475 | + | 0.517807i | −0.990246 | − | 0.139329i | \(-0.955505\pi\) |
0.753771 | + | 0.657137i | \(0.228233\pi\) | |||||||
\(380\) | 5.93745 | − | 13.0012i | 0.304585 | − | 0.666948i | ||||
\(381\) | −0.360084 | + | 2.50444i | −0.0184477 | + | 0.128306i | ||||
\(382\) | −29.5725 | + | 19.0051i | −1.51306 | + | 0.972385i | ||||
\(383\) | 21.4546 | + | 6.29963i | 1.09628 | + | 0.321896i | 0.779372 | − | 0.626561i | \(-0.215538\pi\) |
0.316905 | + | 0.948457i | \(0.397356\pi\) | |||||||
\(384\) | −1.85694 | − | 12.9153i | −0.0947615 | − | 0.659081i | ||||
\(385\) | 9.62083 | + | 11.1030i | 0.490323 | + | 0.565863i | ||||
\(386\) | −31.9264 | − | 20.5178i | −1.62501 | − | 1.04433i | ||||
\(387\) | −4.13588 | + | 4.77306i | −0.210238 | + | 0.242628i | ||||
\(388\) | −2.27778 | + | 0.668817i | −0.115637 | + | 0.0339541i | ||||
\(389\) | 0.0784648 | + | 0.171814i | 0.00397832 | + | 0.00871131i | 0.911611 | − | 0.411055i | \(-0.134839\pi\) |
−0.907632 | + | 0.419766i | \(0.862112\pi\) | |||||||
\(390\) | −5.81297 | −0.294351 | ||||||||
\(391\) | −10.1785 | + | 6.20685i | −0.514750 | + | 0.313894i | ||||
\(392\) | −1.96714 | −0.0993554 | ||||||||
\(393\) | −6.77713 | − | 14.8398i | −0.341861 | − | 0.748571i | ||||
\(394\) | −1.87709 | + | 0.551164i | −0.0945665 | + | 0.0277672i | ||||
\(395\) | 9.42670 | − | 10.8790i | 0.474309 | − | 0.547381i | ||||
\(396\) | 3.45220 | + | 2.21859i | 0.173480 | + | 0.111489i | ||||
\(397\) | 2.40451 | + | 2.77495i | 0.120679 | + | 0.139271i | 0.812874 | − | 0.582439i | \(-0.197902\pi\) |
−0.692195 | + | 0.721710i | \(0.743356\pi\) | |||||||
\(398\) | −2.99379 | − | 20.8223i | −0.150065 | − | 1.04373i | ||||
\(399\) | 5.54933 | + | 1.62943i | 0.277814 | + | 0.0815736i | ||||
\(400\) | −16.0904 | + | 10.3407i | −0.804519 | + | 0.517033i | ||||
\(401\) | 1.21719 | − | 8.46574i | 0.0607835 | − | 0.422759i | −0.936596 | − | 0.350411i | \(-0.886042\pi\) |
0.997379 | − | 0.0723476i | \(-0.0230491\pi\) | |||||||
\(402\) | 3.97608 | − | 8.70640i | 0.198309 | − | 0.434236i | ||||
\(403\) | −3.09809 | + | 6.78387i | −0.154327 | + | 0.337929i | ||||
\(404\) | −1.88540 | + | 13.1132i | −0.0938020 | + | 0.652407i | ||||
\(405\) | −2.50227 | + | 1.60811i | −0.124339 | + | 0.0799076i | ||||
\(406\) | 8.52022 | + | 2.50176i | 0.422852 | + | 0.124160i | ||||
\(407\) | −0.599014 | − | 4.16623i | −0.0296920 | − | 0.206512i | ||||
\(408\) | 3.20227 | + | 3.69562i | 0.158536 | + | 0.182960i | ||||
\(409\) | −26.6283 | − | 17.1130i | −1.31669 | − | 0.846182i | −0.321762 | − | 0.946821i | \(-0.604275\pi\) |
−0.994923 | + | 0.100638i | \(0.967911\pi\) | |||||||
\(410\) | −30.3430 | + | 35.0177i | −1.49853 | + | 1.72940i | ||||
\(411\) | 19.0907 | − | 5.60553i | 0.941674 | − | 0.276500i | ||||
\(412\) | −2.85043 | − | 6.24157i | −0.140431 | − | 0.307500i | ||||
\(413\) | −0.552234 | −0.0271737 | ||||||||
\(414\) | 5.42655 | − | 5.97174i | 0.266700 | − | 0.293495i | ||||
\(415\) | 27.2953 | 1.33987 | ||||||||
\(416\) | −2.13762 | − | 4.68074i | −0.104806 | − | 0.229492i | ||||
\(417\) | −1.88745 | + | 0.554205i | −0.0924288 | + | 0.0271395i | ||||
\(418\) | 31.4747 | − | 36.3238i | 1.53948 | − | 1.77665i | ||||
\(419\) | 6.99655 | + | 4.49641i | 0.341804 | + | 0.219664i | 0.700269 | − | 0.713879i | \(-0.253063\pi\) |
−0.358465 | + | 0.933543i | \(0.616700\pi\) | |||||||
\(420\) | 1.61833 | + | 1.86766i | 0.0789666 | + | 0.0911323i | ||||
\(421\) | −2.95595 | − | 20.5591i | −0.144064 | − | 1.00199i | −0.925701 | − | 0.378256i | \(-0.876524\pi\) |
0.781637 | − | 0.623734i | \(-0.214385\pi\) | |||||||
\(422\) | −16.4191 | − | 4.82108i | −0.799269 | − | 0.234687i | ||||
\(423\) | −5.92167 | + | 3.80562i | −0.287921 | + | 0.185036i | ||||
\(424\) | 3.79473 | − | 26.3930i | 0.184289 | − | 1.28176i | ||||
\(425\) | 3.97300 | − | 8.69967i | 0.192719 | − | 0.421996i | ||||
\(426\) | 2.20798 | − | 4.83479i | 0.106977 | − | 0.234246i | ||||
\(427\) | 0.975375 | − | 6.78388i | 0.0472017 | − | 0.328295i | ||||
\(428\) | −9.15981 | + | 5.88665i | −0.442756 | + | 0.284542i | ||||
\(429\) | −5.50470 | − | 1.61632i | −0.265769 | − | 0.0780369i | ||||
\(430\) | 4.49813 | + | 31.2852i | 0.216919 | + | 1.50871i | ||||
\(431\) | −25.7712 | − | 29.7416i | −1.24136 | − | 1.43260i | −0.861656 | − | 0.507493i | \(-0.830572\pi\) |
−0.379701 | − | 0.925109i | \(-0.623973\pi\) | |||||||
\(432\) | −4.18219 | − | 2.68773i | −0.201216 | − | 0.129314i | ||||
\(433\) | 4.26452 | − | 4.92152i | 0.204940 | − | 0.236513i | −0.643970 | − | 0.765051i | \(-0.722714\pi\) |
0.848910 | + | 0.528537i | \(0.177259\pi\) | |||||||
\(434\) | 10.3652 | − | 3.04348i | 0.497543 | − | 0.146092i | ||||
\(435\) | 6.52141 | + | 14.2799i | 0.312677 | + | 0.684668i | ||||
\(436\) | −3.28128 | −0.157145 | ||||||||
\(437\) | −17.6642 | − | 21.3853i | −0.844992 | − | 1.02300i | ||||
\(438\) | −9.68956 | −0.462985 | ||||||||
\(439\) | 3.85084 | + | 8.43217i | 0.183791 | + | 0.402445i | 0.978992 | − | 0.203901i | \(-0.0653620\pi\) |
−0.795201 | + | 0.606346i | \(0.792635\pi\) | |||||||
\(440\) | −27.7294 | + | 8.14208i | −1.32195 | + | 0.388158i | ||||
\(441\) | −0.654861 | + | 0.755750i | −0.0311838 | + | 0.0359881i | ||||
\(442\) | 4.08689 | + | 2.62649i | 0.194394 | + | 0.124929i | ||||
\(443\) | 12.5023 | + | 14.4284i | 0.594002 | + | 0.685515i | 0.970555 | − | 0.240880i | \(-0.0774361\pi\) |
−0.376553 | + | 0.926395i | \(0.622891\pi\) | |||||||
\(444\) | −0.100761 | − | 0.700807i | −0.00478190 | − | 0.0332588i | ||||
\(445\) | −1.85090 | − | 0.543472i | −0.0877409 | − | 0.0257630i | ||||
\(446\) | −26.7650 | + | 17.2008i | −1.26736 | + | 0.814482i | ||||
\(447\) | 2.71661 | − | 18.8945i | 0.128491 | − | 0.893678i | ||||
\(448\) | 1.03400 | − | 2.26414i | 0.0488518 | − | 0.106970i | ||||
\(449\) | 12.2499 | − | 26.8236i | 0.578110 | − | 1.26588i | −0.364256 | − | 0.931299i | \(-0.618677\pi\) |
0.942366 | − | 0.334585i | \(-0.108596\pi\) | |||||||
\(450\) | −0.921233 | + | 6.40731i | −0.0434273 | + | 0.302044i | ||||
\(451\) | −38.4707 | + | 24.7236i | −1.81151 | + | 1.16419i | ||||
\(452\) | 2.92060 | + | 0.857566i | 0.137374 | + | 0.0403365i | ||||
\(453\) | 2.30425 | + | 16.0264i | 0.108263 | + | 0.752985i | ||||
\(454\) | 12.9836 | + | 14.9838i | 0.609349 | + | 0.703226i | ||||
\(455\) | −2.90649 | − | 1.86789i | −0.136258 | − | 0.0875678i | ||||
\(456\) | −7.45045 | + | 8.59828i | −0.348899 | + | 0.402651i | ||||
\(457\) | −30.8185 | + | 9.04913i | −1.44163 | + | 0.423301i | −0.906765 | − | 0.421637i | \(-0.861456\pi\) |
−0.534865 | + | 0.844938i | \(0.679637\pi\) | |||||||
\(458\) | 16.1140 | + | 35.2848i | 0.752960 | + | 1.64875i | ||||
\(459\) | 2.48585 | 0.116029 | ||||||||
\(460\) | −1.40932 | − | 11.7677i | −0.0657099 | − | 0.548670i | ||||
\(461\) | 32.9314 | 1.53377 | 0.766884 | − | 0.641786i | \(-0.221806\pi\) | ||||
0.766884 | + | 0.641786i | \(0.221806\pi\) | |||||||
\(462\) | 3.45220 | + | 7.55927i | 0.160611 | + | 0.351689i | ||||
\(463\) | −25.2954 | + | 7.42739i | −1.17558 | + | 0.345180i | −0.810467 | − | 0.585785i | \(-0.800786\pi\) |
−0.365109 | + | 0.930965i | \(0.618968\pi\) | |||||||
\(464\) | −17.1822 | + | 19.8293i | −0.797663 | + | 0.920552i | ||||
\(465\) | 16.0661 | + | 10.3251i | 0.745048 | + | 0.478813i | ||||
\(466\) | 6.28109 | + | 7.24877i | 0.290966 | + | 0.335793i | ||||
\(467\) | 4.72330 | + | 32.8513i | 0.218568 | + | 1.52018i | 0.743329 | + | 0.668926i | \(0.233246\pi\) |
−0.524760 | + | 0.851250i | \(0.675845\pi\) | |||||||
\(468\) | −0.925952 | − | 0.271884i | −0.0428022 | − | 0.0125678i | ||||
\(469\) | 4.78567 | − | 3.07557i | 0.220982 | − | 0.142016i | ||||
\(470\) | −5.01338 | + | 34.8688i | −0.231250 | + | 1.60838i | ||||
\(471\) | 7.26715 | − | 15.9128i | 0.334853 | − | 0.733225i | ||||
\(472\) | 0.451274 | − | 0.988152i | 0.0207716 | − | 0.0454834i | ||||
\(473\) | −4.43942 | + | 30.8768i | −0.204125 | + | 1.41972i | ||||
\(474\) | 6.84996 | − | 4.40220i | 0.314629 | − | 0.202200i | ||||
\(475\) | 21.3502 | + | 6.26900i | 0.979617 | + | 0.287641i | ||||
\(476\) | −0.293925 | − | 2.04430i | −0.0134720 | − | 0.0937001i | ||||
\(477\) | −8.87658 | − | 10.2441i | −0.406431 | − | 0.469046i | ||||
\(478\) | −28.9968 | − | 18.6351i | −1.32628 | − | 0.852350i | ||||
\(479\) | −15.9947 | + | 18.4588i | −0.730816 | + | 0.843406i | −0.992563 | − | 0.121730i | \(-0.961156\pi\) |
0.261748 | + | 0.965136i | \(0.415701\pi\) | |||||||
\(480\) | −12.6434 | + | 3.71243i | −0.577089 | + | 0.169449i | ||||
\(481\) | 0.411194 | + | 0.900388i | 0.0187488 | + | 0.0410542i | ||||
\(482\) | −16.2540 | −0.740351 | ||||||||
\(483\) | 4.63218 | − | 1.24215i | 0.210771 | − | 0.0565200i | ||||
\(484\) | 11.1296 | 0.505890 | ||||||||
\(485\) | −3.53059 | − | 7.73091i | −0.160316 | − | 0.351043i | ||||
\(486\) | −1.61435 | + | 0.474017i | −0.0732286 | + | 0.0215018i | ||||
\(487\) | 3.26025 | − | 3.76253i | 0.147736 | − | 0.170496i | −0.677058 | − | 0.735929i | \(-0.736745\pi\) |
0.824794 | + | 0.565433i | \(0.191291\pi\) | |||||||
\(488\) | 11.3418 | + | 7.28895i | 0.513420 | + | 0.329955i | ||||
\(489\) | 7.51747 | + | 8.67563i | 0.339952 | + | 0.392325i | ||||
\(490\) | 0.712219 | + | 4.95359i | 0.0321748 | + | 0.223781i | ||||
\(491\) | −24.4370 | − | 7.17534i | −1.10283 | − | 0.323819i | −0.320851 | − | 0.947130i | \(-0.603969\pi\) |
−0.781974 | + | 0.623311i | \(0.785787\pi\) | |||||||
\(492\) | −6.47120 | + | 4.15879i | −0.291744 | + | 0.187493i | ||||
\(493\) | 1.86714 | − | 12.9863i | 0.0840918 | − | 0.584871i | ||||
\(494\) | −4.69540 | + | 10.2815i | −0.211256 | + | 0.462586i | ||||
\(495\) | −6.10304 | + | 13.3638i | −0.274311 | + | 0.600657i | ||||
\(496\) | −4.54260 | + | 31.5945i | −0.203969 | + | 1.41863i | ||||
\(497\) | 2.65755 | − | 1.70791i | 0.119208 | − | 0.0766101i | ||||
\(498\) | 14.8143 | + | 4.34986i | 0.663842 | + | 0.194922i | ||||
\(499\) | −2.63495 | − | 18.3265i | −0.117957 | − | 0.820406i | −0.959800 | − | 0.280684i | \(-0.909439\pi\) |
0.841844 | − | 0.539721i | \(-0.181470\pi\) | |||||||
\(500\) | −1.86536 | − | 2.15274i | −0.0834216 | − | 0.0962737i | ||||
\(501\) | −19.7023 | − | 12.6619i | −0.880236 | − | 0.565693i | ||||
\(502\) | −7.60882 | + | 8.78105i | −0.339598 | + | 0.391918i | ||||
\(503\) | 15.0880 | − | 4.43023i | 0.672739 | − | 0.197534i | 0.0725168 | − | 0.997367i | \(-0.476897\pi\) |
0.600222 | + | 0.799833i | \(0.295079\pi\) | |||||||
\(504\) | −0.817178 | − | 1.78937i | −0.0364000 | − | 0.0797049i | ||||
\(505\) | −47.4294 | −2.11058 | ||||||||
\(506\) | 6.60143 | − | 39.3040i | 0.293469 | − | 1.74728i | ||||
\(507\) | −11.6508 | −0.517431 | ||||||||
\(508\) | 0.873269 | + | 1.91219i | 0.0387450 | + | 0.0848398i | ||||
\(509\) | −8.91966 | + | 2.61905i | −0.395357 | + | 0.116087i | −0.473367 | − | 0.880865i | \(-0.656962\pi\) |
0.0780100 | + | 0.996953i | \(0.475143\pi\) | |||||||
\(510\) | 8.14680 | − | 9.40191i | 0.360747 | − | 0.416324i | ||||
\(511\) | −4.84478 | − | 3.11355i | −0.214320 | − | 0.137735i | ||||
\(512\) | −1.61423 | − | 1.86292i | −0.0713396 | − | 0.0823303i | ||||
\(513\) | 0.823093 | + | 5.72474i | 0.0363405 | + | 0.252753i | ||||
\(514\) | 20.9749 | + | 6.15879i | 0.925163 | + | 0.271652i | ||||
\(515\) | 20.6657 | − | 13.2810i | 0.910639 | − | 0.585232i | ||||
\(516\) | −0.746760 | + | 5.19383i | −0.0328743 | + | 0.228646i | ||||
\(517\) | −14.4430 | + | 31.6257i | −0.635201 | + | 1.39090i | ||||
\(518\) | 0.595619 | − | 1.30422i | 0.0261700 | − | 0.0573043i | ||||
\(519\) | −2.53958 | + | 17.6631i | −0.111475 | + | 0.775326i | ||||
\(520\) | 5.71746 | − | 3.67439i | 0.250727 | − | 0.161132i | ||||
\(521\) | −16.8131 | − | 4.93676i | −0.736593 | − | 0.216283i | −0.108146 | − | 0.994135i | \(-0.534491\pi\) |
−0.628448 | + | 0.777852i | \(0.716309\pi\) | |||||||
\(522\) | 1.26374 | + | 8.78954i | 0.0553126 | + | 0.384708i | ||||
\(523\) | 9.51604 | + | 10.9821i | 0.416108 | + | 0.480214i | 0.924647 | − | 0.380825i | \(-0.124360\pi\) |
−0.508540 | + | 0.861039i | \(0.669814\pi\) | |||||||
\(524\) | −11.4026 | − | 7.32799i | −0.498124 | − | 0.320125i | ||||
\(525\) | −2.51948 | + | 2.90764i | −0.109959 | + | 0.126900i | ||||
\(526\) | 26.7613 | − | 7.85782i | 1.16685 | − | 0.342617i | ||||
\(527\) | −6.63031 | − | 14.5184i | −0.288821 | − | 0.632429i | ||||
\(528\) | −24.5547 | −1.06860 | ||||||||
\(529\) | −21.7379 | − | 7.51410i | −0.945128 | − | 0.326700i | ||||
\(530\) | −67.8360 | −2.94661 | ||||||||
\(531\) | −0.229406 | − | 0.502330i | −0.00995539 | − | 0.0217993i | ||||
\(532\) | 4.61055 | − | 1.35378i | 0.199893 | − | 0.0586938i | ||||
\(533\) | 7.04254 | − | 8.12752i | 0.305046 | − | 0.352042i | ||||
\(534\) | −0.917946 | − | 0.589928i | −0.0397234 | − | 0.0255287i | ||||
\(535\) | −25.5272 | − | 29.4600i | −1.10364 | − | 1.27366i | ||||
\(536\) | 1.59258 | + | 11.0766i | 0.0687889 | + | 0.478437i | ||||
\(537\) | −8.39772 | − | 2.46579i | −0.362388 | − | 0.106407i | ||||
\(538\) | −17.8094 | + | 11.4454i | −0.767818 | + | 0.493447i | ||||
\(539\) | −0.702922 | + | 4.88893i | −0.0302770 | + | 0.210581i | ||||
\(540\) | −1.02660 | + | 2.24794i | −0.0441778 | + | 0.0967359i | ||||
\(541\) | −1.04199 | + | 2.28164i | −0.0447987 | + | 0.0980956i | −0.930708 | − | 0.365763i | \(-0.880808\pi\) |
0.885909 | + | 0.463858i | \(0.153535\pi\) | |||||||
\(542\) | 2.95527 | − | 20.5543i | 0.126940 | − | 0.882885i | ||||
\(543\) | −17.7424 | + | 11.4024i | −0.761401 | + | 0.489323i | ||||
\(544\) | 10.5665 | + | 3.10260i | 0.453035 | + | 0.133023i | ||||
\(545\) | −1.67182 | − | 11.6277i | −0.0716127 | − | 0.498077i | ||||
\(546\) | −1.27980 | − | 1.47696i | −0.0547702 | − | 0.0632082i | ||||
\(547\) | 2.81963 | + | 1.81206i | 0.120558 | + | 0.0774782i | 0.599530 | − | 0.800352i | \(-0.295354\pi\) |
−0.478972 | + | 0.877830i | \(0.658990\pi\) | |||||||
\(548\) | 10.8253 | − | 12.4931i | 0.462435 | − | 0.533678i | ||||
\(549\) | 6.57602 | − | 1.93089i | 0.280658 | − | 0.0824085i | ||||
\(550\) | 13.2818 | + | 29.0832i | 0.566340 | + | 1.24011i | ||||
\(551\) | 30.5247 | 1.30040 | ||||||||
\(552\) | −1.56264 | + | 9.30374i | −0.0665103 | + | 0.395993i | ||||
\(553\) | 4.83954 | 0.205798 | ||||||||
\(554\) | 12.2025 | + | 26.7197i | 0.518434 | + | 1.13521i | ||||
\(555\) | 2.43208 | − | 0.714123i | 0.103236 | − | 0.0303128i | ||||
\(556\) | −1.07027 | + | 1.23516i | −0.0453897 | + | 0.0523825i | ||||
\(557\) | 37.4861 | + | 24.0909i | 1.58834 | + | 1.02076i | 0.972504 | + | 0.232886i | \(0.0748170\pi\) |
0.615834 | + | 0.787876i | \(0.288819\pi\) | |||||||
\(558\) | 7.07429 | + | 8.16417i | 0.299479 | + | 0.345617i | ||||
\(559\) | −1.04401 | − | 7.26123i | −0.0441568 | − | 0.307117i | ||||
\(560\) | −14.1881 | − | 4.16602i | −0.599559 | − | 0.176046i | ||||
\(561\) | 10.3290 | − | 6.63805i | 0.436091 | − | 0.280259i | ||||
\(562\) | 0.899606 | − | 6.25690i | 0.0379476 | − | 0.263931i | ||||
\(563\) | −8.73180 | + | 19.1200i | −0.368001 | + | 0.805810i | 0.631535 | + | 0.775348i | \(0.282425\pi\) |
−0.999536 | + | 0.0304628i | \(0.990302\pi\) | |||||||
\(564\) | −2.42947 | + | 5.31979i | −0.102299 | + | 0.224004i | ||||
\(565\) | −1.55087 | + | 10.7865i | −0.0652456 | + | 0.453793i | ||||
\(566\) | 28.3316 | − | 18.2076i | 1.19086 | − | 0.765322i | ||||
\(567\) | −0.959493 | − | 0.281733i | −0.0402949 | − | 0.0118317i | ||||
\(568\) | 0.884382 | + | 6.15101i | 0.0371078 | + | 0.258091i | ||||
\(569\) | −17.4600 | − | 20.1499i | −0.731961 | − | 0.844728i | 0.260730 | − | 0.965412i | \(-0.416037\pi\) |
−0.992691 | + | 0.120684i | \(0.961491\pi\) | |||||||
\(570\) | 24.3495 | + | 15.6485i | 1.01989 | + | 0.655441i | ||||
\(571\) | 21.5255 | − | 24.8418i | 0.900815 | − | 1.03960i | −0.0981979 | − | 0.995167i | \(-0.531308\pi\) |
0.999013 | − | 0.0444287i | \(-0.0141467\pi\) | |||||||
\(572\) | −4.57347 | + | 1.34289i | −0.191226 | + | 0.0561491i | ||||
\(573\) | −8.67933 | − | 19.0051i | −0.362584 | − | 0.793949i | ||||
\(574\) | −15.5777 | −0.650199 | ||||||||
\(575\) | 17.8216 | − | 4.77901i | 0.743213 | − | 0.199298i | ||||
\(576\) | 2.48907 | 0.103711 | ||||||||
\(577\) | 10.1661 | + | 22.2608i | 0.423222 | + | 0.926727i | 0.994378 | + | 0.105886i | \(0.0337678\pi\) |
−0.571156 | + | 0.820841i | \(0.693505\pi\) | |||||||
\(578\) | 17.4682 | − | 5.12913i | 0.726582 | − | 0.213344i | ||||
\(579\) | 14.7712 | − | 17.0468i | 0.613869 | − | 0.708443i | ||||
\(580\) | 10.9723 | + | 7.05148i | 0.455600 | + | 0.292797i | ||||
\(581\) | 6.00938 | + | 6.93520i | 0.249311 | + | 0.287721i | ||||
\(582\) | −0.684172 | − | 4.75852i | −0.0283598 | − | 0.197247i | ||||
\(583\) | −64.2385 | − | 18.8621i | −2.66049 | − | 0.781190i | ||||
\(584\) | 9.53034 | − | 6.12478i | 0.394368 | − | 0.253445i | ||||
\(585\) | 0.491690 | − | 3.41978i | 0.0203289 | − | 0.141391i | ||||
\(586\) | 13.8790 | − | 30.3907i | 0.573335 | − | 1.25543i | ||||
\(587\) | −12.8180 | + | 28.0675i | −0.529056 | + | 1.15847i | 0.436840 | + | 0.899539i | \(0.356098\pi\) |
−0.965896 | + | 0.258931i | \(0.916630\pi\) | |||||||
\(588\) | −0.118239 | + | 0.822373i | −0.00487611 | + | 0.0339141i | ||||
\(589\) | 31.2394 | − | 20.0764i | 1.28720 | − | 0.827232i | ||||
\(590\) | −2.65173 | − | 0.778617i | −0.109170 | − | 0.0320552i | ||||
\(591\) | −0.165477 | − | 1.15092i | −0.00680680 | − | 0.0473423i | ||||
\(592\) | 2.77431 | + | 3.20173i | 0.114024 | + | 0.131590i | ||||
\(593\) | −11.1267 | − | 7.15071i | −0.456920 | − | 0.293645i | 0.291863 | − | 0.956460i | \(-0.405725\pi\) |
−0.748783 | + | 0.662816i | \(0.769361\pi\) | |||||||
\(594\) | −5.44205 | + | 6.28047i | −0.223290 | + | 0.257691i | ||||
\(595\) | 7.09452 | − | 2.08314i | 0.290847 | − | 0.0854004i | ||||
\(596\) | −6.58828 | − | 14.4263i | −0.269867 | − | 0.590925i | ||||
\(597\) | 12.5030 | 0.511714 | ||||||||
\(598\) | 1.11451 | + | 9.30600i | 0.0455755 | + | 0.380551i | ||||
\(599\) | 26.5308 | 1.08402 | 0.542010 | − | 0.840372i | \(-0.317663\pi\) | ||||
0.542010 | + | 0.840372i | \(0.317663\pi\) | |||||||
\(600\) | −3.14397 | − | 6.88434i | −0.128352 | − | 0.281052i | ||||
\(601\) | 16.8575 | − | 4.94980i | 0.687630 | − | 0.201907i | 0.0807911 | − | 0.996731i | \(-0.474255\pi\) |
0.606839 | + | 0.794825i | \(0.292437\pi\) | |||||||
\(602\) | −6.95864 | + | 8.03070i | −0.283613 | + | 0.327307i | ||||
\(603\) | 4.78567 | + | 3.07557i | 0.194888 | + | 0.125247i | ||||
\(604\) | 8.80927 | + | 10.1664i | 0.358444 | + | 0.413666i | ||||
\(605\) | 5.67053 | + | 39.4394i | 0.230540 | + | 1.60344i | ||||
\(606\) | −25.7418 | − | 7.55848i | −1.04569 | − | 0.307042i | ||||
\(607\) | −19.8998 | + | 12.7888i | −0.807707 | + | 0.519082i | −0.878122 | − | 0.478436i | \(-0.841204\pi\) |
0.0704157 | + | 0.997518i | \(0.477567\pi\) | |||||||
\(608\) | −3.64639 | + | 25.3612i | −0.147881 | + | 1.02853i | ||||
\(609\) | −2.19247 | + | 4.80085i | −0.0888435 | + | 0.194540i | ||||
\(610\) | 14.2484 | − | 31.1997i | 0.576902 | − | 1.26324i | ||||
\(611\) | 1.16359 | − | 8.09298i | 0.0470740 | − | 0.327407i | ||||
\(612\) | 1.73746 | − | 1.11659i | 0.0702325 | − | 0.0451357i | ||||
\(613\) | 20.6111 | + | 6.05197i | 0.832476 | + | 0.244437i | 0.670080 | − | 0.742289i | \(-0.266260\pi\) |
0.162396 | + | 0.986726i | \(0.448078\pi\) | |||||||
\(614\) | 4.90980 | + | 34.1484i | 0.198143 | + | 1.37812i | ||||
\(615\) | −18.0344 | − | 20.8128i | −0.727217 | − | 0.839253i | ||||
\(616\) | −8.17370 | − | 5.25292i | −0.329328 | − | 0.211646i | ||||
\(617\) | 12.0123 | − | 13.8629i | 0.483595 | − | 0.558099i | −0.460548 | − | 0.887635i | \(-0.652347\pi\) |
0.944143 | + | 0.329536i | \(0.106892\pi\) | |||||||
\(618\) | 13.3326 | − | 3.91480i | 0.536316 | − | 0.157476i | ||||
\(619\) | 1.99949 | + | 4.37828i | 0.0803664 | + | 0.175978i | 0.945550 | − | 0.325478i | \(-0.105525\pi\) |
−0.865183 | + | 0.501456i | \(0.832798\pi\) | |||||||
\(620\) | 15.8670 | 0.637236 | ||||||||
\(621\) | 3.05418 | + | 3.69757i | 0.122560 | + | 0.148378i | ||||
\(622\) | 16.9117 | 0.678098 | ||||||||
\(623\) | −0.269411 | − | 0.589928i | −0.0107937 | − | 0.0236350i | ||||
\(624\) | 5.54056 | − | 1.62685i | 0.221800 | − | 0.0651263i | ||||
\(625\) | 19.2756 | − | 22.2452i | 0.771023 | − | 0.889809i | ||||
\(626\) | −0.410243 | − | 0.263647i | −0.0163966 | − | 0.0105375i | ||||
\(627\) | 18.7070 | + | 21.5891i | 0.747087 | + | 0.862184i | ||||
\(628\) | −2.06845 | − | 14.3864i | −0.0825400 | − | 0.574079i | ||||
\(629\) | −2.03257 | − | 0.596817i | −0.0810439 | − | 0.0237966i | ||||
\(630\) | −4.21008 | + | 2.70566i | −0.167734 | + | 0.107796i | ||||
\(631\) | 0.668946 | − | 4.65262i | 0.0266303 | − | 0.185218i | −0.972164 | − | 0.234300i | \(-0.924720\pi\) |
0.998795 | + | 0.0490816i | \(0.0156294\pi\) | |||||||
\(632\) | −3.95477 | + | 8.65973i | −0.157312 | + | 0.344465i | ||||
\(633\) | 4.22506 | − | 9.25159i | 0.167931 | − | 0.367718i | ||||
\(634\) | −5.25379 | + | 36.5409i | −0.208655 | + | 1.45122i | ||||
\(635\) | −6.33122 | + | 4.06883i | −0.251247 | + | 0.161466i | ||||
\(636\) | −10.8056 | − | 3.17282i | −0.428472 | − | 0.125811i | ||||
\(637\) | −0.165305 | − | 1.14972i | −0.00654960 | − | 0.0455535i | ||||
\(638\) | 28.7220 | + | 33.1470i | 1.13712 | + | 1.31230i | ||||
\(639\) | 2.65755 | + | 1.70791i | 0.105131 | + | 0.0675637i | ||||
\(640\) | 25.4158 | − | 29.3313i | 1.00465 | − | 1.15942i | ||||
\(641\) | −22.4407 | + | 6.58919i | −0.886355 | + | 0.260257i | −0.693057 | − | 0.720883i | \(-0.743737\pi\) |
−0.193298 | + | 0.981140i | \(0.561918\pi\) | |||||||
\(642\) | −9.15981 | − | 20.0572i | −0.361509 | − | 0.791594i | ||||
\(643\) | 8.12003 | 0.320223 | 0.160111 | − | 0.987099i | \(-0.448815\pi\) | ||||
0.160111 | + | 0.987099i | \(0.448815\pi\) | |||||||
\(644\) | 2.67966 | − | 2.94887i | 0.105593 | − | 0.116202i | ||||
\(645\) | −18.7856 | −0.739683 | ||||||||
\(646\) | −10.0488 | − | 22.0037i | −0.395363 | − | 0.865725i | ||||
\(647\) | 3.09440 | − | 0.908599i | 0.121654 | − | 0.0357207i | −0.220339 | − | 0.975423i | \(-0.570716\pi\) |
0.341993 | + | 0.939703i | \(0.388898\pi\) | |||||||
\(648\) | 1.28820 | − | 1.48666i | 0.0506053 | − | 0.0584016i | ||||
\(649\) | −2.29460 | − | 1.47465i | −0.0900710 | − | 0.0578851i | ||||
\(650\) | −4.92383 | − | 5.68240i | −0.193128 | − | 0.222882i | ||||
\(651\) | 0.913750 | + | 6.35527i | 0.0358127 | + | 0.249083i | ||||
\(652\) | 9.15118 | + | 2.68703i | 0.358388 | + | 0.105232i | ||||
\(653\) | 14.9667 | − | 9.61854i | 0.585694 | − | 0.376402i | −0.213979 | − | 0.976838i | \(-0.568643\pi\) |
0.799673 | + | 0.600436i | \(0.205006\pi\) | |||||||
\(654\) | 0.945668 | − | 6.57726i | 0.0369785 | − | 0.257191i | ||||
\(655\) | 20.1582 | − | 44.1404i | 0.787648 | − | 1.72471i | ||||
\(656\) | 19.1208 | − | 41.8686i | 0.746540 | − | 1.63469i | ||||
\(657\) | 0.819591 | − | 5.70038i | 0.0319753 | − | 0.222393i | ||||
\(658\) | −9.96324 | + | 6.40299i | −0.388408 | + | 0.249614i | ||||
\(659\) | −26.1462 | − | 7.67722i | −1.01851 | − | 0.299062i | −0.270481 | − | 0.962725i | \(-0.587183\pi\) |
−0.748031 | + | 0.663663i | \(0.769001\pi\) | |||||||
\(660\) | 1.73711 | + | 12.0818i | 0.0676167 | + | 0.470285i | ||||
\(661\) | −2.22897 | − | 2.57237i | −0.0866969 | − | 0.100054i | 0.710744 | − | 0.703451i | \(-0.248359\pi\) |
−0.797440 | + | 0.603398i | \(0.793813\pi\) | |||||||
\(662\) | −33.1035 | − | 21.2743i | −1.28660 | − | 0.826849i | ||||
\(663\) | −1.89085 | + | 2.18216i | −0.0734347 | + | 0.0847482i | ||||
\(664\) | −17.3204 | + | 5.08572i | −0.672161 | + | 0.197364i | ||||
\(665\) | 7.14641 | + | 15.6485i | 0.277126 | + | 0.606821i | ||||
\(666\) | 1.43379 | 0.0555583 | ||||||||
\(667\) | 21.6104 | − | 13.1780i | 0.836757 | − | 0.510253i | ||||
\(668\) | −19.4582 | −0.752861 | ||||||||
\(669\) | −7.85535 | − | 17.2008i | −0.303705 | − | 0.665022i | ||||
\(670\) | 27.3163 | − | 8.02078i | 1.05532 | − | 0.309870i | ||||
\(671\) | 22.1680 | − | 25.5833i | 0.855788 | − | 0.987632i | ||||
\(672\) | −3.72685 | − | 2.39510i | −0.143766 | − | 0.0923929i | ||||
\(673\) | −0.512691 | − | 0.591677i | −0.0197628 | − | 0.0228075i | 0.745782 | − | 0.666190i | \(-0.232076\pi\) |
−0.765545 | + | 0.643382i | \(0.777531\pi\) | |||||||
\(674\) | 3.17049 | + | 22.0513i | 0.122123 | + | 0.849383i | ||||
\(675\) | −3.69151 | − | 1.08393i | −0.142086 | − | 0.0417203i | ||||
\(676\) | −8.14321 | + | 5.23332i | −0.313200 | + | 0.201282i | ||||
\(677\) | −1.98721 | + | 13.8214i | −0.0763747 | + | 0.531198i | 0.915334 | + | 0.402695i | \(0.131926\pi\) |
−0.991709 | + | 0.128503i | \(0.958983\pi\) | |||||||
\(678\) | −2.56069 | + | 5.60714i | −0.0983428 | + | 0.215341i | ||||
\(679\) | 1.18697 | − | 2.59911i | 0.0455518 | − | 0.0997445i | ||||
\(680\) | −2.06998 | + | 14.3970i | −0.0793801 | + | 0.552101i | ||||
\(681\) | −9.91322 | + | 6.37084i | −0.379875 | + | 0.244131i | ||||
\(682\) | 51.1956 | + | 15.0324i | 1.96038 | + | 0.575620i | ||||
\(683\) | 2.94522 | + | 20.4845i | 0.112696 | + | 0.783817i | 0.965278 | + | 0.261224i | \(0.0841261\pi\) |
−0.852582 | + | 0.522593i | \(0.824965\pi\) | |||||||
\(684\) | 3.14673 | + | 3.63152i | 0.120318 | + | 0.138855i | ||||
\(685\) | 49.7867 | + | 31.9960i | 1.90225 | + | 1.22250i | ||||
\(686\) | −1.10181 | + | 1.27155i | −0.0420672 | + | 0.0485482i | ||||
\(687\) | −22.1211 | + | 6.49535i | −0.843974 | + | 0.247813i | ||||
\(688\) | −13.0430 | − | 28.5602i | −0.497260 | − | 1.08885i | ||||
\(689\) | 15.7446 | 0.599821 | ||||||||
\(690\) | 23.9942 | + | 0.566496i | 0.913444 | + | 0.0215661i | ||||
\(691\) | −25.2135 | −0.959167 | −0.479584 | − | 0.877496i | \(-0.659212\pi\) | ||||
−0.479584 | + | 0.877496i | \(0.659212\pi\) | |||||||
\(692\) | 6.15893 | + | 13.4862i | 0.234128 | + | 0.512668i | ||||
\(693\) | −4.73913 | + | 1.39153i | −0.180025 | + | 0.0528600i | ||||
\(694\) | −14.4664 | + | 16.6951i | −0.549135 | + | 0.633736i | ||||
\(695\) | −4.92229 | − | 3.16336i | −0.186713 | − | 0.119993i | ||||
\(696\) | −6.79885 | − | 7.84630i | −0.257710 | − | 0.297413i | ||||
\(697\) | 3.27545 | + | 22.7812i | 0.124066 | + | 0.862901i | ||||
\(698\) | 33.3114 | + | 9.78111i | 1.26085 | + | 0.370220i | ||||
\(699\) | −4.79575 | + | 3.08204i | −0.181392 | + | 0.116573i | ||||
\(700\) | −0.454909 | + | 3.16396i | −0.0171939 | + | 0.119587i | ||||
\(701\) | −20.4861 | + | 44.8583i | −0.773749 | + | 1.69427i | −0.0555294 | + | 0.998457i | \(0.517685\pi\) |
−0.718219 | + | 0.695817i | \(0.755043\pi\) | |||||||
\(702\) | 0.811846 | − | 1.77769i | 0.0306412 | − | 0.0670948i | ||||
\(703\) | 0.701421 | − | 4.87849i | 0.0264546 | − | 0.183996i | ||||
\(704\) | 10.3424 | − | 6.64665i | 0.389794 | − | 0.250505i | ||||
\(705\) | −20.0893 | − | 5.89876i | −0.756608 | − | 0.222160i | ||||
\(706\) | −7.12282 | − | 49.5403i | −0.268071 | − | 1.86447i | ||||
\(707\) | −10.4421 | − | 12.0509i | −0.392717 | − | 0.453220i | ||||
\(708\) | −0.385978 | − | 0.248053i | −0.0145059 | − | 0.00932240i | ||||
\(709\) | 6.82059 | − | 7.87138i | 0.256153 | − | 0.295616i | −0.613078 | − | 0.790022i | \(-0.710069\pi\) |
0.869231 | + | 0.494406i | \(0.164614\pi\) | |||||||
\(710\) | 15.1691 | − | 4.45406i | 0.569287 | − | 0.167158i | ||||
\(711\) | 2.01042 | + | 4.40220i | 0.0753965 | + | 0.165095i | ||||
\(712\) | 1.27576 | 0.0478110 | ||||||||
\(713\) | 13.4491 | − | 27.6999i | 0.503673 | − | 1.03737i | ||||
\(714\) | 4.18246 | 0.156525 | ||||||||
\(715\) | −7.08893 | − | 15.5226i | −0.265111 | − | 0.580512i | ||||
\(716\) | −6.97707 | + | 2.04865i | −0.260746 | + | 0.0765618i | ||||
\(717\) | 13.4158 | − | 15.4826i | 0.501021 | − | 0.578209i | ||||
\(718\) | 49.1162 | + | 31.5651i | 1.83300 | + | 1.17800i | ||||
\(719\) | −21.6820 | − | 25.0224i | −0.808602 | − | 0.933176i | 0.190218 | − | 0.981742i | \(-0.439081\pi\) |
−0.998820 | + | 0.0485654i | \(0.984535\pi\) | |||||||
\(720\) | −2.10443 | − | 14.6366i | −0.0784274 | − | 0.545474i | ||||
\(721\) | 7.92424 | + | 2.32677i | 0.295114 | + | 0.0866534i | ||||
\(722\) | 20.4529 | − | 13.1443i | 0.761179 | − | 0.489180i | ||||
\(723\) | 1.37485 | − | 9.56227i | 0.0511311 | − | 0.355625i | ||||
\(724\) | −7.27916 | + | 15.9391i | −0.270528 | + | 0.592373i | ||||
\(725\) | −8.43523 | + | 18.4706i | −0.313276 | + | 0.685980i | ||||
\(726\) | −3.20755 | + | 22.3090i | −0.119043 | + | 0.827965i | ||||
\(727\) | −10.2225 | + | 6.56961i | −0.379132 | + | 0.243653i | −0.716302 | − | 0.697790i | \(-0.754167\pi\) |
0.337170 | + | 0.941444i | \(0.390530\pi\) | |||||||
\(728\) | 2.19236 | + | 0.643734i | 0.0812541 | + | 0.0238584i | ||||
\(729\) | −0.142315 | − | 0.989821i | −0.00527092 | − | 0.0366601i | ||||
\(730\) | −18.8738 | − | 21.7815i | −0.698551 | − | 0.806171i | ||||
\(731\) | 13.2075 | + | 8.48794i | 0.488496 | + | 0.313938i | ||||
\(732\) | 3.72891 | − | 4.30340i | 0.137825 | − | 0.159058i | ||||
\(733\) | 26.1799 | − | 7.68712i | 0.966978 | − | 0.283930i | 0.240139 | − | 0.970739i | \(-0.422807\pi\) |
0.726839 | + | 0.686808i | \(0.240989\pi\) | |||||||
\(734\) | 5.65258 | + | 12.3774i | 0.208641 | + | 0.456859i | ||||
\(735\) | −2.97445 | −0.109714 | ||||||||
\(736\) | 8.36732 | + | 19.5290i | 0.308424 | + | 0.719850i | ||||
\(737\) | 28.0979 | 1.03500 | ||||||||
\(738\) | −6.47120 | − | 14.1699i | −0.238208 | − | 0.521603i | ||||
\(739\) | 8.25117 | − | 2.42276i | 0.303524 | − | 0.0891228i | −0.126424 | − | 0.991976i | \(-0.540350\pi\) |
0.429948 | + | 0.902854i | \(0.358532\pi\) | |||||||
\(740\) | 1.37910 | − | 1.59157i | 0.0506969 | − | 0.0585073i | ||||
\(741\) | −5.65146 | − | 3.63197i | −0.207611 | − | 0.133424i | ||||
\(742\) | −14.9349 | − | 17.2358i | −0.548278 | − | 0.632746i | ||||
\(743\) | −3.41857 | − | 23.7767i | −0.125415 | − | 0.872281i | −0.951261 | − | 0.308386i | \(-0.900211\pi\) |
0.825846 | − | 0.563895i | \(-0.190698\pi\) | |||||||
\(744\) | −12.1186 | − | 3.55835i | −0.444290 | − | 0.130455i | ||||
\(745\) | 47.7652 | − | 30.6968i | 1.74998 | − | 1.12464i | ||||
\(746\) | 5.59936 | − | 38.9444i | 0.205007 | − | 1.42586i | ||||
\(747\) | −3.81209 | + | 8.34731i | −0.139477 | + | 0.305412i | ||||
\(748\) | 4.23766 | − | 9.27918i | 0.154944 | − | 0.339280i | ||||
\(749\) | 1.86508 | − | 12.9719i | 0.0681486 | − | 0.473984i | ||||
\(750\) | 4.85273 | − | 3.11866i | 0.177197 | − | 0.113877i | ||||
\(751\) | 47.7530 | + | 14.0215i | 1.74253 | + | 0.511654i | 0.989274 | − | 0.146071i | \(-0.0466629\pi\) |
0.753258 | + | 0.657725i | \(0.228481\pi\) | |||||||
\(752\) | −4.98017 | − | 34.6378i | −0.181608 | − | 1.26311i | ||||
\(753\) | −4.52231 | − | 5.21903i | −0.164802 | − | 0.190192i | ||||
\(754\) | −8.67702 | − | 5.57638i | −0.315998 | − | 0.203080i | ||||
\(755\) | −31.5380 | + | 36.3968i | −1.14779 | + | 1.32462i | ||||
\(756\) | −0.797176 | + | 0.234072i | −0.0289930 | + | 0.00851311i | ||||
\(757\) | −6.32074 | − | 13.8405i | −0.229731 | − | 0.503041i | 0.759301 | − | 0.650739i | \(-0.225541\pi\) |
−0.989032 | + | 0.147698i | \(0.952814\pi\) | |||||||
\(758\) | −18.6457 | −0.677243 | ||||||||
\(759\) | 22.5642 | + | 7.20816i | 0.819030 | + | 0.261640i | ||||
\(760\) | −33.8408 | −1.22753 | ||||||||
\(761\) | 8.49030 | + | 18.5912i | 0.307773 | + | 0.673929i | 0.998804 | − | 0.0488962i | \(-0.0155704\pi\) |
−0.691031 | + | 0.722825i | \(0.742843\pi\) | |||||||
\(762\) | −4.08463 | + | 1.19935i | −0.147970 | + | 0.0434480i | ||||
\(763\) | 2.58631 | − | 2.98476i | 0.0936307 | − | 0.108056i | ||||
\(764\) | −14.6030 | − | 9.38480i | −0.528319 | − | 0.339530i | ||||
\(765\) | 4.84206 | + | 5.58804i | 0.175065 | + | 0.202036i | ||||
\(766\) | 5.35408 | + | 37.2385i | 0.193451 | + | 1.34548i | ||||
\(767\) | 0.615460 | + | 0.180715i | 0.0222230 | + | 0.00652525i | ||||
\(768\) | 14.2806 | − | 9.17758i | 0.515307 | − | 0.331168i | ||||
\(769\) | −3.53112 | + | 24.5595i | −0.127336 | + | 0.885639i | 0.821577 | + | 0.570098i | \(0.193095\pi\) |
−0.948912 | + | 0.315540i | \(0.897814\pi\) | |||||||
\(770\) | −10.2684 | + | 22.4847i | −0.370047 | + | 0.810291i | ||||
\(771\) | −5.39738 | + | 11.8186i | −0.194382 | + | 0.425637i | ||||
\(772\) | 2.66703 | − | 18.5496i | 0.0959886 | − | 0.667616i | ||||
\(773\) | −43.8882 | + | 28.2052i | −1.57855 | + | 1.01447i | −0.602180 | + | 0.798361i | \(0.705701\pi\) |
−0.976369 | + | 0.216111i | \(0.930663\pi\) | |||||||
\(774\) | −10.1957 | − | 2.99373i | −0.366477 | − | 0.107607i | ||||
\(775\) | 3.51552 | + | 24.4510i | 0.126281 | + | 0.878305i | ||||
\(776\) | 3.68080 | + | 4.24786i | 0.132133 | + | 0.152489i | ||||
\(777\) | 0.716896 | + | 0.460721i | 0.0257185 | + | 0.0165283i | ||||
\(778\) | −0.208113 | + | 0.240175i | −0.00746120 | + | 0.00861068i | ||||
\(779\) | −51.3791 | + | 15.0863i | −1.84085 | + | 0.540521i | ||||
\(780\) | −1.19244 | − | 2.61107i | −0.0426961 | − | 0.0934915i | ||||
\(781\) | 15.6031 | 0.558324 | ||||||||
\(782\) | −16.6135 | − | 11.2396i | −0.594098 | − | 0.401928i | ||||
\(783\) | −5.27779 | −0.188613 | ||||||||
\(784\) | −2.06519 | − | 4.52213i | −0.0737567 | − | 0.161505i | ||||
\(785\) | 49.9265 | − | 14.6597i | 1.78195 | − | 0.523228i | ||||
\(786\) | 17.9750 | − | 20.7443i | 0.641148 | − | 0.739924i | ||||
\(787\) | −7.29039 | − | 4.68525i | −0.259874 | − | 0.167011i | 0.404216 | − | 0.914664i | \(-0.367544\pi\) |
−0.664090 | + | 0.747653i | \(0.731181\pi\) | |||||||
\(788\) | −0.632627 | − | 0.730091i | −0.0225364 | − | 0.0260084i | ||||
\(789\) | 2.35917 | + | 16.4084i | 0.0839885 | + | 0.584153i | ||||
\(790\) | 23.2386 | + | 6.82346i | 0.826791 | + | 0.242768i | ||||
\(791\) | −3.08209 | + | 1.98074i | −0.109587 | + | 0.0704270i | ||||
\(792\) | 1.38274 | − | 9.61719i | 0.0491337 | − | 0.341732i | ||||
\(793\) | −3.30703 | + | 7.24139i | −0.117436 | + | 0.257149i | ||||
\(794\) | −2.56636 | + | 5.61954i | −0.0910766 | + | 0.199430i | ||||
\(795\) | 5.73791 | − | 39.9080i | 0.203503 | − | 1.41539i | ||||
\(796\) | 8.73884 | − | 5.61611i | 0.309740 | − | 0.199058i | ||||
\(797\) | −12.5148 | − | 3.67468i | −0.443297 | − | 0.130164i | 0.0524636 | − | 0.998623i | \(-0.483293\pi\) |
−0.495761 | + | 0.868459i | \(0.665111\pi\) | |||||||
\(798\) | 1.38486 | + | 9.63191i | 0.0490235 | + | 0.340966i | ||||
\(799\) | 11.4588 | + | 13.2242i | 0.405385 | + | 0.467839i | ||||
\(800\) | −14.3385 | − | 9.21480i | −0.506943 | − | 0.325792i | ||||
\(801\) | 0.424700 | − | 0.490130i | 0.0150060 | − | 0.0173179i | ||||
\(802\) | 13.8072 | − | 4.05417i | 0.487550 | − | 0.143158i | ||||
\(803\) | −11.8164 | − | 25.8744i | −0.416993 | − | 0.913087i | ||||
\(804\) | 4.72638 | 0.166686 | ||||||||
\(805\) | 11.8151 | + | 7.99332i | 0.416427 | + | 0.281728i | ||||
\(806\) | −12.5478 | −0.441978 | ||||||||
\(807\) | −5.22694 | − | 11.4454i | −0.183997 | − | 0.402897i | ||||
\(808\) | 30.0966 | − | 8.83715i | 1.05879 | − | 0.310890i | ||||
\(809\) | −29.4712 | + | 34.0115i | −1.03615 | + | 1.19578i | −0.0558157 | + | 0.998441i | \(0.517776\pi\) |
−0.980335 | + | 0.197341i | \(0.936770\pi\) | |||||||
\(810\) | −4.21008 | − | 2.70566i | −0.147927 | − | 0.0950670i | ||||
\(811\) | −10.9332 | − | 12.6176i | −0.383916 | − | 0.443063i | 0.530594 | − | 0.847626i | \(-0.321969\pi\) |
−0.914510 | + | 0.404563i | \(0.867424\pi\) | |||||||
\(812\) | 0.624043 | + | 4.34032i | 0.0218996 | + | 0.152315i | ||||
\(813\) | 11.8422 | + | 3.47718i | 0.415323 | + | 0.121950i | ||||
\(814\) | 5.95759 | − | 3.82871i | 0.208813 | − | 0.134196i | ||||
\(815\) | −4.85937 | + | 33.7977i | −0.170216 | + | 1.18388i | ||||
\(816\) | −5.13374 | + | 11.2413i | −0.179717 | + | 0.393525i | ||||
\(817\) | −15.1740 | + | 33.2264i | −0.530871 | + | 1.16244i | ||||
\(818\) | 7.57921 | − | 52.7145i | 0.265001 | − | 1.84312i | ||||
\(819\) | 0.977151 | − | 0.627977i | 0.0341444 | − | 0.0219433i | ||||
\(820\) | −21.9536 | − | 6.44617i | −0.766654 | − | 0.225110i | ||||
\(821\) | −1.33230 | − | 9.26637i | −0.0464977 | − | 0.323398i | −0.999773 | − | 0.0212962i | \(-0.993221\pi\) |
0.953276 | − | 0.302102i | \(-0.0976884\pi\) | |||||||
\(822\) | 21.9223 | + | 25.2996i | 0.764627 | + | 0.882426i | ||||
\(823\) | 0.459085 | + | 0.295036i | 0.0160027 | + | 0.0102843i | 0.548618 | − | 0.836073i | \(-0.315154\pi\) |
−0.532615 | + | 0.846358i | \(0.678791\pi\) | |||||||
\(824\) | −10.6390 | + | 12.2780i | −0.370626 | + | 0.427725i | ||||
\(825\) | −18.2331 | + | 5.35373i | −0.634796 | + | 0.186393i | ||||
\(826\) | −0.385978 | − | 0.845174i | −0.0134299 | − | 0.0294074i | ||||
\(827\) | 12.3021 | 0.427787 | 0.213894 | − | 0.976857i | \(-0.431385\pi\) | ||||
0.213894 | + | 0.976857i | \(0.431385\pi\) | |||||||
\(828\) | 3.79556 | + | 1.21249i | 0.131905 | + | 0.0421371i | ||||
\(829\) | 53.3662 | 1.85348 | 0.926742 | − | 0.375698i | \(-0.122597\pi\) | ||||
0.926742 | + | 0.375698i | \(0.122597\pi\) | |||||||
\(830\) | 19.0777 | + | 41.7744i | 0.662198 | + | 1.45001i | ||||
\(831\) | −16.7514 | + | 4.91865i | −0.581100 | + | 0.170626i | ||||
\(832\) | −1.89331 | + | 2.18499i | −0.0656386 | + | 0.0757509i | ||||
\(833\) | 2.09123 | + | 1.34395i | 0.0724568 | + | 0.0465651i | ||||
\(834\) | −2.16740 | − | 2.50131i | −0.0750510 | − | 0.0866134i | ||||
\(835\) | −9.91398 | − | 68.9532i | −0.343087 | − | 2.38623i | ||||
\(836\) | 22.7725 | + | 6.68660i | 0.787602 | + | 0.231261i | ||||
\(837\) | −5.40137 | + | 3.47125i | −0.186699 | + | 0.119984i | ||||
\(838\) | −1.99143 | + | 13.8507i | −0.0687927 | + | 0.478463i | ||||
\(839\) | −1.93620 | + | 4.23968i | −0.0668449 | + | 0.146370i | −0.940106 | − | 0.340883i | \(-0.889274\pi\) |
0.873261 | + | 0.487253i | \(0.162001\pi\) | |||||||
\(840\) | 2.43066 | − | 5.32239i | 0.0838656 | − | 0.183640i | ||||
\(841\) | 0.162938 | − | 1.13326i | 0.00561855 | − | 0.0390779i | ||||
\(842\) | 29.3989 | − | 18.8935i | 1.01315 | − | 0.651114i | ||||
\(843\) | 3.60485 | + | 1.05848i | 0.124158 | + | 0.0364560i | ||||
\(844\) | −1.20258 | − | 8.36411i | −0.0413944 | − | 0.287904i | ||||
\(845\) | −22.6941 | − | 26.1903i | −0.780699 | − | 0.900975i | ||||
\(846\) | −9.96324 | − | 6.40299i | −0.342543 | − | 0.220139i | ||||
\(847\) | −8.77234 | + | 10.1238i | −0.301421 | + | 0.347859i | ||||
\(848\) | 64.6570 | − | 18.9850i | 2.22033 | − | 0.651948i | ||||
\(849\) | 8.31513 | + | 18.2076i | 0.285375 | + | 0.624883i | ||||
\(850\) | 16.0914 | 0.551930 | ||||||||
\(851\) | −1.60954 | − | 3.75661i | −0.0551742 | − | 0.128775i | ||||
\(852\) | 2.62463 | 0.0899182 | ||||||||
\(853\) | −19.1021 | − | 41.8277i | −0.654043 | − | 1.43215i | −0.887970 | − | 0.459901i | \(-0.847885\pi\) |
0.233927 | − | 0.972254i | \(-0.424842\pi\) | |||||||
\(854\) | 11.0642 | − | 3.24874i | 0.378609 | − | 0.111170i | ||||
\(855\) | −11.2656 | + | 13.0012i | −0.385276 | + | 0.444632i | ||||
\(856\) | 21.6875 | + | 13.9377i | 0.741263 | + | 0.476380i | ||||
\(857\) | −11.4494 | − | 13.2133i | −0.391104 | − | 0.451358i | 0.525715 | − | 0.850661i | \(-0.323798\pi\) |
−0.916819 | + | 0.399302i | \(0.869252\pi\) | |||||||
\(858\) | −1.37372 | − | 9.55444i | −0.0468981 | − | 0.326183i | ||||
\(859\) | −4.75812 | − | 1.39711i | −0.162345 | − | 0.0476688i | 0.199550 | − | 0.979888i | \(-0.436052\pi\) |
−0.361895 | + | 0.932219i | \(0.617870\pi\) | |||||||
\(860\) | −13.1300 | + | 8.43813i | −0.447729 | + | 0.287738i | ||||
\(861\) | 1.31764 | − | 9.16437i | 0.0449050 | − | 0.312321i | ||||
\(862\) | 27.5059 | − | 60.2295i | 0.936854 | − | 2.05142i | ||||
\(863\) | −18.5947 | + | 40.7166i | −0.632969 | + | 1.38601i | 0.272730 | + | 0.962090i | \(0.412073\pi\) |
−0.905700 | + | 0.423919i | \(0.860654\pi\) | |||||||
\(864\) | 0.630471 | − | 4.38502i | 0.0214490 | − | 0.149181i | ||||
\(865\) | −44.6524 | + | 28.6964i | −1.51823 | + | 0.975705i | ||||
\(866\) | 10.5128 | + | 3.08685i | 0.357241 | + | 0.104895i | ||||
\(867\) | 1.53993 | + | 10.7104i | 0.0522986 | + | 0.363745i | ||||
\(868\) | 3.49332 | + | 4.03150i | 0.118571 | + | 0.136838i | ||||
\(869\) | 20.1089 | + | 12.9232i | 0.682147 | + | 0.438389i | ||||
\(870\) | −17.2968 | + | 19.9615i | −0.586415 | + | 0.676759i | ||||
\(871\) | −6.34005 | + | 1.86161i | −0.214824 | + | 0.0630781i | ||||
\(872\) | 3.22737 | + | 7.06695i | 0.109292 | + | 0.239317i | ||||
\(873\) | 2.85732 | 0.0967055 | ||||||||
\(874\) | 20.3832 | − | 41.9813i | 0.689471 | − | 1.42004i | ||||
\(875\) | 3.42849 | 0.115904 | ||||||||
\(876\) | −1.98766 | − | 4.35236i | −0.0671567 | − | 0.147053i | ||||
\(877\) | 7.18724 | − | 2.11036i | 0.242696 | − | 0.0712619i | −0.158122 | − | 0.987420i | \(-0.550544\pi\) |
0.400818 | + | 0.916158i | \(0.368726\pi\) | |||||||
\(878\) | −10.2136 | + | 11.7871i | −0.344693 | + | 0.397796i | ||||
\(879\) | 16.7049 | + | 10.7356i | 0.563444 | + | 0.362103i | ||||
\(880\) | −47.8288 | − | 55.1974i | −1.61231 | − | 1.86070i | ||||
\(881\) | 3.54263 | + | 24.6395i | 0.119354 | + | 0.830126i | 0.958270 | + | 0.285865i | \(0.0922809\pi\) |
−0.838916 | + | 0.544261i | \(0.816810\pi\) | |||||||
\(882\) | −1.61435 | − | 0.474017i | −0.0543581 | − | 0.0159610i | ||||
\(883\) | 16.7659 | − | 10.7748i | 0.564216 | − | 0.362600i | −0.227228 | − | 0.973842i | \(-0.572966\pi\) |
0.791444 | + | 0.611242i | \(0.209330\pi\) | |||||||
\(884\) | −0.341406 | + | 2.37453i | −0.0114827 | + | 0.0798642i | ||||
\(885\) | 0.682358 | − | 1.49416i | 0.0229372 | − | 0.0502255i | ||||
\(886\) | −13.3438 | + | 29.2189i | −0.448294 | + | 0.981627i | ||||
\(887\) | −4.22306 | + | 29.3720i | −0.141796 | + | 0.986216i | 0.787350 | + | 0.616506i | \(0.211452\pi\) |
−0.929147 | + | 0.369711i | \(0.879457\pi\) | |||||||
\(888\) | −1.41023 | + | 0.906302i | −0.0473243 | + | 0.0304135i | ||||
\(889\) | −2.42770 | − | 0.712838i | −0.0814225 | − | 0.0239078i | ||||
\(890\) | −0.461899 | − | 3.21258i | −0.0154829 | − | 0.107686i | ||||
\(891\) | −3.23449 | − | 3.73280i | −0.108360 | − | 0.125054i | ||||
\(892\) | −13.2167 | − | 8.49385i | −0.442527 | − | 0.284395i | ||||
\(893\) | −26.6603 | + | 30.7676i | −0.892152 | + | 1.02960i | ||||
\(894\) | 30.8160 | − | 9.04840i | 1.03064 | − | 0.302624i | ||||
\(895\) | −10.8145 | − | 23.6806i | −0.361490 | − | 0.791554i | ||||
\(896\) | 13.0481 | 0.435906 | ||||||||
\(897\) | −5.56900 | − | 0.131482i | −0.185944 | − | 0.00439007i | ||||
\(898\) | 49.6145 | 1.65566 | ||||||||
\(899\) | 14.0770 | + | 30.8244i | 0.469496 | + | 1.02805i | ||||
\(900\) | −3.06702 | + | 0.900558i | −0.102234 | + | 0.0300186i | ||||
\(901\) | −22.0658 | + | 25.4653i | −0.735119 | + | 0.848373i | ||||
\(902\) | −64.7271 | − | 41.5976i | −2.15518 | − | 1.38505i | ||||
\(903\) | −4.13588 | − | 4.77306i | −0.137633 | − | 0.158837i | ||||
\(904\) | −1.02566 | − | 7.13362i | −0.0341129 | − | 0.237261i | ||||
\(905\) | −60.1915 | − | 17.6738i | −2.00083 | − | 0.587498i | ||||
\(906\) | −22.9172 | + | 14.7280i | −0.761375 | + | 0.489306i | ||||
\(907\) | −3.43812 | + | 23.9126i | −0.114161 | + | 0.794005i | 0.849636 | + | 0.527369i | \(0.176821\pi\) |
−0.963797 | + | 0.266636i | \(0.914088\pi\) | |||||||
\(908\) | −4.06708 | + | 8.90565i | −0.134971 | + | 0.295544i | ||||
\(909\) | 6.62404 | − | 14.5046i | 0.219705 | − | 0.481088i | ||||
\(910\) | 0.827272 | − | 5.75380i | 0.0274238 | − | 0.190737i | ||||
\(911\) | 47.4924 | − | 30.5215i | 1.57349 | − | 1.01122i | 0.595305 | − | 0.803500i | \(-0.297031\pi\) |
0.978188 | − | 0.207722i | \(-0.0666051\pi\) | |||||||
\(912\) | −27.5878 | − | 8.10052i | −0.913525 | − | 0.268235i | ||||
\(913\) | 6.45042 | + | 44.8637i | 0.213478 | + | 1.48477i | ||||
\(914\) | −35.3896 | − | 40.8418i | −1.17058 | − | 1.35093i | ||||
\(915\) | 17.1496 | + | 11.0214i | 0.566949 | + | 0.364356i | ||||
\(916\) | −12.5437 | + | 14.4762i | −0.414457 | + | 0.478308i | ||||
\(917\) | 15.6533 | − | 4.59622i | 0.516917 | − | 0.151781i | ||||
\(918\) | 1.73746 | + | 3.80450i | 0.0573446 | + | 0.125567i | ||||
\(919\) | 35.1150 | 1.15834 | 0.579168 | − | 0.815208i | \(-0.303377\pi\) | ||||
0.579168 | + | 0.815208i | \(0.303377\pi\) | |||||||
\(920\) | −23.9580 | + | 14.6096i | −0.789873 | + | 0.481664i | ||||
\(921\) | −20.5048 | −0.675658 | ||||||||
\(922\) | 23.0170 | + | 50.4002i | 0.758025 | + | 1.65984i | ||||
\(923\) | −3.52072 | + | 1.03378i | −0.115886 | + | 0.0340272i | ||||
\(924\) | −2.68731 | + | 3.10132i | −0.0884061 | + | 0.102026i | ||||
\(925\) | 2.75815 | + | 1.77256i | 0.0906876 | + | 0.0582814i | ||||
\(926\) | −29.0472 | − | 33.5223i | −0.954552 | − | 1.10161i | ||||
\(927\) | 1.17535 | + | 8.17472i | 0.0386035 | + | 0.268493i | ||||
\(928\) | −22.4341 | − | 6.58725i | −0.736435 | − | 0.216237i | ||||
\(929\) | 16.2888 | − | 10.4682i | 0.534419 | − | 0.343450i | −0.245433 | − | 0.969413i | \(-0.578930\pi\) |
0.779853 | + | 0.625963i | \(0.215294\pi\) | |||||||
\(930\) | −4.57289 | + | 31.8052i | −0.149951 | + | 1.04293i | ||||
\(931\) | −2.40260 | + | 5.26096i | −0.0787420 | + | 0.172421i | ||||
\(932\) | −1.96754 | + | 4.30831i | −0.0644489 | + | 0.141124i | ||||
\(933\) | −1.43048 | + | 9.94919i | −0.0468317 | + | 0.325722i | ||||
\(934\) | −46.9764 | + | 30.1899i | −1.53711 | + | 0.987843i | ||||
\(935\) | 35.0413 | + | 10.2891i | 1.14597 | + | 0.336488i | ||||
\(936\) | 0.325177 | + | 2.26165i | 0.0106287 | + | 0.0739244i | ||||
\(937\) | −15.2231 | − | 17.5684i | −0.497316 | − | 0.573934i | 0.450490 | − | 0.892782i | \(-0.351249\pi\) |
−0.947806 | + | 0.318848i | \(0.896704\pi\) | |||||||
\(938\) | 8.05193 | + | 5.17466i | 0.262905 | + | 0.168959i | ||||
\(939\) | 0.189804 | − | 0.219046i | 0.00619403 | − | 0.00714829i | ||||
\(940\) | −16.6908 | + | 4.90087i | −0.544395 | + | 0.159849i | ||||
\(941\) | 6.24472 | + | 13.6740i | 0.203572 | + | 0.445761i | 0.983690 | − | 0.179872i | \(-0.0575682\pi\) |
−0.780118 | + | 0.625632i | \(0.784841\pi\) | |||||||
\(942\) | 29.4333 | 0.958989 | ||||||||
\(943\) | −29.8616 | + | 32.8617i | −0.972426 | + | 1.07012i | ||||
\(944\) | 2.74537 | 0.0893541 | ||||||||
\(945\) | −1.23563 | − | 2.70566i | −0.0401951 | − | 0.0880150i | ||||
\(946\) | −50.3587 | + | 14.7866i | −1.63730 | + | 0.480755i | ||||
\(947\) | −28.6170 | + | 33.0258i | −0.929929 | + | 1.07320i | 0.0672199 | + | 0.997738i | \(0.478587\pi\) |
−0.997149 | + | 0.0754572i | \(0.975958\pi\) | |||||||
\(948\) | 3.38254 | + | 2.17383i | 0.109860 | + | 0.0706026i | ||||
\(949\) | 4.38057 | + | 5.05545i | 0.142199 | + | 0.164107i | ||||
\(950\) | 5.32805 | + | 37.0574i | 0.172865 | + | 1.20230i | ||||
\(951\) | −21.0527 | − | 6.18162i | −0.682680 | − | 0.200453i | ||||
\(952\) | −4.11373 | + | 2.64374i | −0.133327 | + | 0.0856840i | ||||
\(953\) | −7.75177 | + | 53.9147i | −0.251104 | + | 1.74647i | 0.340503 | + | 0.940243i | \(0.389403\pi\) |
−0.591608 | + | 0.806226i | \(0.701507\pi\) | |||||||
\(954\) | 9.47405 | − | 20.7453i | 0.306734 | − | 0.671653i | ||||
\(955\) | 25.8162 | − | 56.5297i | 0.835394 | − | 1.82926i | ||||
\(956\) | 2.42230 | − | 16.8475i | 0.0783429 | − | 0.544887i | ||||
\(957\) | −21.9299 | + | 14.0935i | −0.708892 | + | 0.455577i | ||||
\(958\) | −39.4299 | − | 11.5777i | −1.27392 | − | 0.374057i | ||||
\(959\) | 2.83159 | + | 19.6941i | 0.0914367 | + | 0.635956i | ||||
\(960\) | 4.84834 | + | 5.59528i | 0.156479 | + | 0.180587i | ||||
\(961\) | 8.60129 | + | 5.52772i | 0.277461 | + | 0.178313i | ||||
\(962\) | −1.09061 | + | 1.25863i | −0.0351627 | + | 0.0405799i | ||||
\(963\) | 12.5745 | − | 3.69219i | 0.405206 | − | 0.118979i | ||||
\(964\) | −3.33425 | − | 7.30099i | −0.107389 | − | 0.235149i | ||||
\(965\) | 67.0923 | 2.15978 | ||||||||
\(966\) | 5.13868 | + | 6.22118i | 0.165334 | + | 0.200163i | ||||
\(967\) | 39.7457 | 1.27814 | 0.639068 | − | 0.769150i | \(-0.279320\pi\) | ||||
0.639068 | + | 0.769150i | \(0.279320\pi\) | |||||||
\(968\) | −10.9467 | − | 23.9699i | −0.351840 | − | 0.770423i | ||||
\(969\) | 13.7948 | − | 4.05052i | 0.443153 | − | 0.130121i | ||||
\(970\) | 9.36420 | − | 10.8069i | 0.300666 | − | 0.346988i | ||||
\(971\) | −35.3738 | − | 22.7334i | −1.13520 | − | 0.729548i | −0.168560 | − | 0.985691i | \(-0.553912\pi\) |
−0.966639 | + | 0.256143i | \(0.917548\pi\) | |||||||
\(972\) | −0.544078 | − | 0.627899i | −0.0174513 | − | 0.0201399i | ||||
\(973\) | −0.279952 | − | 1.94711i | −0.00897485 | − | 0.0624215i | ||||
\(974\) | 8.03712 | + | 2.35991i | 0.257526 | + | 0.0756164i | ||||
\(975\) | 3.75945 | − | 2.41605i | 0.120399 | − | 0.0773755i | ||||
\(976\) | −4.84896 | + | 33.7253i | −0.155211 | + | 1.07952i | ||||
\(977\) | −10.8649 | + | 23.7909i | −0.347600 | + | 0.761137i | 0.652395 | + | 0.757879i | \(0.273764\pi\) |
−0.999995 | + | 0.00325783i | \(0.998963\pi\) | |||||||
\(978\) | −8.02347 | + | 17.5689i | −0.256562 | + | 0.561793i | ||||
\(979\) | 0.455869 | − | 3.17064i | 0.0145697 | − | 0.101334i | ||||
\(980\) | −2.07896 | + | 1.33607i | −0.0664099 | + | 0.0426790i | ||||
\(981\) | 3.78942 | + | 1.11268i | 0.120987 | + | 0.0355250i | ||||
\(982\) | −6.09836 | − | 42.4150i | −0.194606 | − | 1.35352i | ||||
\(983\) | 11.3421 | + | 13.0895i | 0.361757 | + | 0.417490i | 0.907228 | − | 0.420640i | \(-0.138194\pi\) |
−0.545470 | + | 0.838130i | \(0.683649\pi\) | |||||||
\(984\) | 15.3217 | + | 9.84666i | 0.488438 | + | 0.313900i | ||||
\(985\) | 2.26486 | − | 2.61379i | 0.0721646 | − | 0.0832824i | ||||
\(986\) | 21.1800 | − | 6.21900i | 0.674508 | − | 0.198053i | ||||
\(987\) | −2.92415 | − | 6.40299i | −0.0930766 | − | 0.203809i | ||||
\(988\) | −5.58143 | −0.177569 | ||||||||
\(989\) | 3.60172 | + | 30.0739i | 0.114528 | + | 0.956295i | ||||
\(990\) | −24.7184 | −0.785603 | ||||||||
\(991\) | 12.4833 | + | 27.3346i | 0.396546 | + | 0.868314i | 0.997609 | + | 0.0691123i | \(0.0220167\pi\) |
−0.601063 | + | 0.799201i | \(0.705256\pi\) | |||||||
\(992\) | −27.2919 | + | 8.01362i | −0.866518 | + | 0.254433i | ||||
\(993\) | 15.3158 | − | 17.6753i | 0.486031 | − | 0.560910i | ||||
\(994\) | 4.47135 | + | 2.87356i | 0.141823 | + | 0.0911439i | ||||
\(995\) | 24.3540 | + | 28.1060i | 0.772074 | + | 0.891021i | ||||
\(996\) | 1.08503 | + | 7.54658i | 0.0343806 | + | 0.239122i | ||||
\(997\) | −43.7783 | − | 12.8545i | −1.38647 | − | 0.407105i | −0.498455 | − | 0.866916i | \(-0.666099\pi\) |
−0.888017 | + | 0.459811i | \(0.847917\pi\) | |||||||
\(998\) | 26.2063 | − | 16.8418i | 0.829546 | − | 0.533117i | ||||
\(999\) | −0.121277 | + | 0.843502i | −0.00383705 | + | 0.0266872i |
(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.211.1 | yes | 20 | |
23.6 | even | 11 | inner | 483.2.q.c.190.1 | ✓ | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.q.c.190.1 | ✓ | 20 | 23.6 | even | 11 | inner | |
483.2.q.c.211.1 | yes | 20 | 1.1 | even | 1 | trivial |