Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [129,2,Mod(5,129)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(129, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 25]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("129.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 129 = 3 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 129.n (of order \(42\), degree \(12\), 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: | \(1.03007018607\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 62.12 | ||
Character | \(\chi\) | \(=\) | 129.62 |
Dual form | 129.2.n.b.77.12 |
$q$-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 \(\left(\mathbb{Z}/129\mathbb{Z}\right)^\times\).
\(n\) | \(44\) | \(46\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{19}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.71093 | − | 2.14544i | 1.20981 | − | 1.51706i | 0.415449 | − | 0.909616i | \(-0.363624\pi\) |
0.794364 | − | 0.607442i | \(-0.207804\pi\) | |||||||
\(3\) | −1.72402 | + | 0.166595i | −0.995364 | + | 0.0961837i | ||||
\(4\) | −1.23059 | − | 5.39157i | −0.615296 | − | 2.69579i | ||||
\(5\) | −1.41668 | + | 0.965879i | −0.633560 | + | 0.431954i | −0.837053 | − | 0.547122i | \(-0.815723\pi\) |
0.203492 | + | 0.979077i | \(0.434771\pi\) | |||||||
\(6\) | −2.59227 | + | 3.98382i | −1.05829 | + | 1.62639i | ||||
\(7\) | 2.06639 | − | 1.19303i | 0.781022 | − | 0.450923i | −0.0557706 | − | 0.998444i | \(-0.517762\pi\) |
0.836792 | + | 0.547521i | \(0.184428\pi\) | |||||||
\(8\) | −8.72804 | − | 4.20320i | −3.08583 | − | 1.48606i | ||||
\(9\) | 2.94449 | − | 0.574427i | 0.981497 | − | 0.191476i | ||||
\(10\) | −0.351615 | + | 4.69197i | −0.111190 | + | 1.48373i | ||||
\(11\) | 4.70304 | + | 1.07344i | 1.41802 | + | 0.323654i | 0.861744 | − | 0.507344i | \(-0.169373\pi\) |
0.556276 | + | 0.830998i | \(0.312230\pi\) | |||||||
\(12\) | 3.01977 | + | 9.09017i | 0.871734 | + | 2.62411i | ||||
\(13\) | 0.0641224 | + | 0.855654i | 0.0177844 | + | 0.237316i | 0.999011 | + | 0.0444587i | \(0.0141563\pi\) |
−0.981227 | + | 0.192857i | \(0.938225\pi\) | |||||||
\(14\) | 0.975877 | − | 6.47452i | 0.260814 | − | 1.73039i | ||||
\(15\) | 2.28148 | − | 1.90121i | 0.589076 | − | 0.490890i | ||||
\(16\) | −13.9857 | + | 6.73516i | −3.49643 | + | 1.68379i | ||||
\(17\) | 0.871073 | − | 1.27763i | 0.211266 | − | 0.309871i | −0.705949 | − | 0.708263i | \(-0.749479\pi\) |
0.917215 | + | 0.398392i | \(0.130432\pi\) | |||||||
\(18\) | 3.80543 | − | 7.30005i | 0.896949 | − | 1.72064i | ||||
\(19\) | −1.14291 | + | 3.70523i | −0.262202 | + | 0.850038i | 0.724748 | + | 0.689014i | \(0.241956\pi\) |
−0.986950 | + | 0.161025i | \(0.948520\pi\) | |||||||
\(20\) | 6.95097 | + | 6.44956i | 1.55428 | + | 1.44216i | ||||
\(21\) | −3.36374 | + | 2.40106i | −0.734029 | + | 0.523954i | ||||
\(22\) | 10.3496 | − | 8.25352i | 2.20654 | − | 1.75966i | ||||
\(23\) | 0.796623 | − | 0.858555i | 0.166107 | − | 0.179021i | −0.644513 | − | 0.764594i | \(-0.722940\pi\) |
0.810620 | + | 0.585572i | \(0.199130\pi\) | |||||||
\(24\) | 15.7475 | + | 5.79236i | 3.21445 | + | 1.18236i | ||||
\(25\) | −0.752633 | + | 1.91768i | −0.150527 | + | 0.383535i | ||||
\(26\) | 1.94547 | + | 1.32640i | 0.381538 | + | 0.260128i | ||||
\(27\) | −4.98067 | + | 1.48086i | −0.958530 | + | 0.284992i | ||||
\(28\) | −8.97519 | − | 9.67296i | −1.69615 | − | 1.82802i | ||||
\(29\) | −2.40321 | − | 0.362226i | −0.446266 | − | 0.0672637i | −0.0779347 | − | 0.996958i | \(-0.524833\pi\) |
−0.368331 | + | 0.929695i | \(0.620071\pi\) | |||||||
\(30\) | −0.175469 | − | 8.14763i | −0.0320361 | − | 1.48755i | ||||
\(31\) | 0.631718 | + | 1.60959i | 0.113460 | + | 0.289091i | 0.976313 | − | 0.216364i | \(-0.0694198\pi\) |
−0.862853 | + | 0.505455i | \(0.831325\pi\) | |||||||
\(32\) | −5.16743 | + | 22.6400i | −0.913480 | + | 4.00222i | ||||
\(33\) | −8.28696 | − | 1.06713i | −1.44257 | − | 0.185763i | ||||
\(34\) | −1.25073 | − | 4.05478i | −0.214499 | − | 0.695389i | ||||
\(35\) | −1.77510 | + | 3.68603i | −0.300046 | + | 0.623053i | ||||
\(36\) | −6.72053 | − | 15.1686i | −1.12009 | − | 2.52809i | ||||
\(37\) | −4.41710 | − | 2.55021i | −0.726166 | − | 0.419252i | 0.0908518 | − | 0.995864i | \(-0.471041\pi\) |
−0.817018 | + | 0.576612i | \(0.804374\pi\) | |||||||
\(38\) | 5.99392 | + | 8.79146i | 0.972342 | + | 1.42616i | ||||
\(39\) | −0.253096 | − | 1.46448i | −0.0405278 | − | 0.234505i | ||||
\(40\) | 16.4247 | − | 2.47562i | 2.59697 | − | 0.391430i | ||||
\(41\) | −2.19036 | − | 1.74675i | −0.342076 | − | 0.272797i | 0.437349 | − | 0.899292i | \(-0.355917\pi\) |
−0.779425 | + | 0.626495i | \(0.784489\pi\) | |||||||
\(42\) | −0.603808 | + | 11.3248i | −0.0931696 | + | 1.74745i | ||||
\(43\) | 6.40983 | + | 1.38350i | 0.977490 | + | 0.210982i | ||||
\(44\) | − | 26.6777i | − | 4.02182i | ||||||
\(45\) | −3.61659 | + | 3.65780i | −0.539129 | + | 0.545273i | ||||
\(46\) | −0.479013 | − | 3.17804i | −0.0706266 | − | 0.468577i | ||||
\(47\) | 8.16859 | − | 1.86443i | 1.19151 | − | 0.271955i | 0.419614 | − | 0.907703i | \(-0.362165\pi\) |
0.771897 | + | 0.635748i | \(0.219308\pi\) | |||||||
\(48\) | 22.9896 | − | 13.9415i | 3.31826 | − | 2.01228i | ||||
\(49\) | −0.653358 | + | 1.13165i | −0.0933368 | + | 0.161664i | ||||
\(50\) | 2.82656 | + | 4.89575i | 0.399737 | + | 0.692364i | ||||
\(51\) | −1.28890 | + | 2.34778i | −0.180482 | + | 0.328754i | ||||
\(52\) | 4.53442 | − | 1.39868i | 0.628810 | − | 0.193962i | ||||
\(53\) | −5.96605 | − | 0.447094i | −0.819501 | − | 0.0614131i | −0.341620 | − | 0.939838i | \(-0.610976\pi\) |
−0.477880 | + | 0.878425i | \(0.658595\pi\) | |||||||
\(54\) | −5.34449 | + | 13.2194i | −0.727293 | + | 1.79893i | ||||
\(55\) | −7.69953 | + | 3.02184i | −1.03820 | + | 0.407465i | ||||
\(56\) | −23.0501 | + | 1.72736i | −3.08020 | + | 0.230829i | ||||
\(57\) | 1.35313 | − | 6.57830i | 0.179227 | − | 0.871317i | ||||
\(58\) | −4.88888 | + | 4.53622i | −0.641941 | + | 0.595634i | ||||
\(59\) | 5.47840 | + | 11.3760i | 0.713227 | + | 1.48103i | 0.869821 | + | 0.493368i | \(0.164234\pi\) |
−0.156594 | + | 0.987663i | \(0.550051\pi\) | |||||||
\(60\) | −13.0581 | − | 9.96117i | −1.68579 | − | 1.28598i | ||||
\(61\) | −2.96330 | − | 1.16301i | −0.379412 | − | 0.148908i | 0.167968 | − | 0.985792i | \(-0.446279\pi\) |
−0.547380 | + | 0.836884i | \(0.684375\pi\) | |||||||
\(62\) | 4.53412 | + | 1.39859i | 0.575834 | + | 0.177621i | ||||
\(63\) | 5.39916 | − | 4.69986i | 0.680230 | − | 0.592126i | ||||
\(64\) | 20.3748 | + | 25.5492i | 2.54686 | + | 3.19366i | ||||
\(65\) | −0.917300 | − | 1.15026i | −0.113777 | − | 0.142672i | ||||
\(66\) | −16.4679 | + | 15.9534i | −2.02706 | + | 1.96373i | ||||
\(67\) | −9.54730 | − | 2.94495i | −1.16639 | − | 0.359783i | −0.349700 | − | 0.936862i | \(-0.613717\pi\) |
−0.816689 | + | 0.577078i | \(0.804193\pi\) | |||||||
\(68\) | −7.96037 | − | 3.12422i | −0.965337 | − | 0.378867i | ||||
\(69\) | −1.23036 | + | 1.61288i | −0.148118 | + | 0.194168i | ||||
\(70\) | 4.87109 | + | 10.1149i | 0.582207 | + | 1.20897i | ||||
\(71\) | 6.76573 | − | 6.27768i | 0.802945 | − | 0.745024i | −0.167623 | − | 0.985851i | \(-0.553609\pi\) |
0.970568 | + | 0.240827i | \(0.0774187\pi\) | |||||||
\(72\) | −28.1141 | − | 7.36268i | −3.31328 | − | 0.867700i | ||||
\(73\) | −4.47615 | + | 0.335441i | −0.523894 | + | 0.0392604i | −0.334053 | − | 0.942554i | \(-0.608416\pi\) |
−0.189841 | + | 0.981815i | \(0.560797\pi\) | |||||||
\(74\) | −13.0287 | + | 5.11339i | −1.51456 | + | 0.594419i | ||||
\(75\) | 0.978079 | − | 3.43150i | 0.112939 | − | 0.396235i | ||||
\(76\) | 21.3835 | + | 1.60247i | 2.45285 | + | 0.183816i | ||||
\(77\) | 10.9989 | − | 3.39273i | 1.25345 | − | 0.386637i | ||||
\(78\) | −3.57500 | − | 1.96263i | −0.404789 | − | 0.222224i | ||||
\(79\) | 2.36229 | + | 4.09161i | 0.265779 | + | 0.460342i | 0.967767 | − | 0.251846i | \(-0.0810376\pi\) |
−0.701989 | + | 0.712188i | \(0.747704\pi\) | |||||||
\(80\) | 13.3080 | − | 23.0501i | 1.48788 | − | 2.57708i | ||||
\(81\) | 8.34007 | − | 3.38279i | 0.926674 | − | 0.375866i | ||||
\(82\) | −7.49512 | + | 1.71071i | −0.827697 | + | 0.188916i | ||||
\(83\) | 0.851545 | + | 5.64963i | 0.0934692 | + | 0.620128i | 0.985695 | + | 0.168538i | \(0.0539047\pi\) |
−0.892226 | + | 0.451589i | \(0.850857\pi\) | |||||||
\(84\) | 17.0849 | + | 15.1811i | 1.86411 | + | 1.65640i | ||||
\(85\) | 2.65135i | 0.287579i | ||||||||
\(86\) | 13.9350 | − | 11.3848i | 1.50265 | − | 1.22766i | ||||
\(87\) | 4.20354 | + | 0.224122i | 0.450666 | + | 0.0240284i | ||||
\(88\) | −36.5364 | − | 29.1368i | −3.89480 | − | 3.10600i | ||||
\(89\) | −11.5941 | + | 1.74753i | −1.22897 | + | 0.185238i | −0.731256 | − | 0.682103i | \(-0.761066\pi\) |
−0.497715 | + | 0.867341i | \(0.665827\pi\) | |||||||
\(90\) | 1.65987 | + | 14.0175i | 0.174965 | + | 1.47757i | ||||
\(91\) | 1.15332 | + | 1.69161i | 0.120901 | + | 0.177329i | ||||
\(92\) | −5.60928 | − | 3.23852i | −0.584808 | − | 0.337639i | ||||
\(93\) | −1.35725 | − | 2.66973i | −0.140740 | − | 0.276838i | ||||
\(94\) | 9.97589 | − | 20.7152i | 1.02893 | − | 2.13661i | ||||
\(95\) | −1.95966 | − | 6.35306i | −0.201057 | − | 0.651810i | ||||
\(96\) | 5.13704 | − | 39.8926i | 0.524297 | − | 4.07153i | ||||
\(97\) | 2.80801 | − | 12.3027i | 0.285110 | − | 1.24915i | −0.606037 | − | 0.795436i | \(-0.707242\pi\) |
0.891148 | − | 0.453714i | \(-0.149901\pi\) | |||||||
\(98\) | 1.31004 | + | 3.33792i | 0.132334 | + | 0.337181i | ||||
\(99\) | 14.4647 | + | 0.459178i | 1.45375 | + | 0.0461491i | ||||
\(100\) | 11.2655 | + | 1.69800i | 1.12655 | + | 0.169800i | ||||
\(101\) | −6.83870 | − | 7.37037i | −0.680476 | − | 0.733379i | 0.294509 | − | 0.955649i | \(-0.404844\pi\) |
−0.974985 | + | 0.222270i | \(0.928653\pi\) | |||||||
\(102\) | 2.83180 | + | 6.78216i | 0.280390 | + | 0.671534i | ||||
\(103\) | −7.96901 | − | 5.43318i | −0.785210 | − | 0.535347i | 0.103057 | − | 0.994676i | \(-0.467138\pi\) |
−0.888267 | + | 0.459328i | \(0.848090\pi\) | |||||||
\(104\) | 3.03682 | − | 7.73770i | 0.297785 | − | 0.758744i | ||||
\(105\) | 2.44623 | − | 6.65051i | 0.238728 | − | 0.649023i | ||||
\(106\) | −11.1667 | + | 12.0349i | −1.08461 | + | 1.16893i | ||||
\(107\) | −4.08122 | + | 3.25467i | −0.394547 | + | 0.314641i | −0.800589 | − | 0.599214i | \(-0.795480\pi\) |
0.406042 | + | 0.913854i | \(0.366909\pi\) | |||||||
\(108\) | 14.1133 | + | 25.0313i | 1.35806 | + | 2.40864i | ||||
\(109\) | 10.0165 | + | 9.29399i | 0.959410 | + | 0.890202i | 0.994020 | − | 0.109199i | \(-0.0348284\pi\) |
−0.0346100 | + | 0.999401i | \(0.511019\pi\) | |||||||
\(110\) | −6.69020 | + | 21.6891i | −0.637885 | + | 2.06797i | ||||
\(111\) | 8.04002 | + | 3.66075i | 0.763125 | + | 0.347463i | ||||
\(112\) | −20.8647 | + | 30.6028i | −1.97153 | + | 2.89170i | ||||
\(113\) | 2.11488 | − | 1.01847i | 0.198951 | − | 0.0958097i | −0.331756 | − | 0.943365i | \(-0.607641\pi\) |
0.530707 | + | 0.847556i | \(0.321927\pi\) | |||||||
\(114\) | −11.7983 | − | 14.1581i | −1.10501 | − | 1.32603i | ||||
\(115\) | −0.299303 | + | 1.98574i | −0.0279101 | + | 0.185172i | ||||
\(116\) | 1.00441 | + | 13.4029i | 0.0932567 | + | 1.24442i | ||||
\(117\) | 0.680319 | + | 2.48263i | 0.0628955 | + | 0.229520i | ||||
\(118\) | 33.7798 | + | 7.71002i | 3.10968 | + | 0.709765i | ||||
\(119\) | 0.275725 | − | 3.67930i | 0.0252757 | − | 0.337281i | ||||
\(120\) | −27.9040 | + | 7.00429i | −2.54728 | + | 0.639401i | ||||
\(121\) | 11.0556 | + | 5.32412i | 1.00506 | + | 0.484010i | ||||
\(122\) | −7.56519 | + | 4.36776i | −0.684920 | + | 0.395439i | ||||
\(123\) | 4.06722 | + | 2.64653i | 0.366729 | + | 0.238630i | ||||
\(124\) | 7.90085 | − | 5.38671i | 0.709517 | − | 0.483741i | ||||
\(125\) | −2.69369 | − | 11.8018i | −0.240931 | − | 1.05559i | ||||
\(126\) | −0.845676 | − | 19.6247i | −0.0753388 | − | 1.74831i | ||||
\(127\) | 3.50944 | − | 4.40070i | 0.311413 | − | 0.390499i | −0.601353 | − | 0.798984i | \(-0.705371\pi\) |
0.912765 | + | 0.408485i | \(0.133943\pi\) | |||||||
\(128\) | 43.2301 | 3.82104 | ||||||||
\(129\) | −11.2812 | − | 1.31734i | −0.993251 | − | 0.115986i | ||||
\(130\) | −4.03725 | −0.354091 | ||||||||
\(131\) | 2.00920 | − | 2.51945i | 0.175544 | − | 0.220125i | −0.686274 | − | 0.727344i | \(-0.740755\pi\) |
0.861818 | + | 0.507218i | \(0.169326\pi\) | |||||||
\(132\) | 4.44438 | + | 45.9930i | 0.386834 | + | 4.00317i | ||||
\(133\) | 2.05875 | + | 9.01998i | 0.178516 | + | 0.782131i | ||||
\(134\) | −22.6530 | + | 15.4446i | −1.95693 | + | 1.33421i | ||||
\(135\) | 5.62570 | − | 6.90864i | 0.484183 | − | 0.594601i | ||||
\(136\) | −12.9729 | + | 7.48990i | −1.11242 | + | 0.642254i | ||||
\(137\) | −8.43068 | − | 4.06000i | −0.720281 | − | 0.346869i | 0.0375721 | − | 0.999294i | \(-0.488038\pi\) |
−0.757854 | + | 0.652425i | \(0.773752\pi\) | |||||||
\(138\) | 1.35527 | + | 5.39921i | 0.115369 | + | 0.459611i | ||||
\(139\) | 0.915531 | − | 12.2169i | 0.0776543 | − | 1.03622i | −0.813214 | − | 0.581964i | \(-0.802284\pi\) |
0.890869 | − | 0.454261i | \(-0.150097\pi\) | |||||||
\(140\) | 22.0579 | + | 5.03458i | 1.86423 | + | 0.425499i | ||||
\(141\) | −13.7722 | + | 4.57516i | −1.15983 | + | 0.385298i | ||||
\(142\) | −1.89269 | − | 25.2562i | −0.158831 | − | 2.11945i | ||||
\(143\) | −0.616921 | + | 4.09301i | −0.0515896 | + | 0.342274i | ||||
\(144\) | −37.3120 | + | 27.8654i | −3.10933 | + | 2.32212i | ||||
\(145\) | 3.75446 | − | 1.80805i | 0.311791 | − | 0.150151i | ||||
\(146\) | −6.93874 | + | 10.1773i | −0.574254 | + | 0.842276i | ||||
\(147\) | 0.937875 | − | 2.05983i | 0.0773546 | − | 0.169892i | ||||
\(148\) | −8.31401 | + | 26.9534i | −0.683408 | + | 2.21555i | ||||
\(149\) | 8.84962 | + | 8.21125i | 0.724989 | + | 0.672692i | 0.953685 | − | 0.300806i | \(-0.0972557\pi\) |
−0.228696 | + | 0.973498i | \(0.573446\pi\) | |||||||
\(150\) | −5.68866 | − | 7.96949i | −0.464477 | − | 0.650706i | ||||
\(151\) | −14.7722 | + | 11.7805i | −1.20215 | + | 0.958680i | −0.999787 | − | 0.0206316i | \(-0.993432\pi\) |
−0.202359 | + | 0.979311i | \(0.564861\pi\) | |||||||
\(152\) | 25.5492 | − | 27.5355i | 2.07232 | − | 2.23343i | ||||
\(153\) | 1.83096 | − | 4.26234i | 0.148025 | − | 0.344590i | ||||
\(154\) | 11.5396 | − | 29.4024i | 0.929886 | − | 2.36931i | ||||
\(155\) | −2.44962 | − | 1.67012i | −0.196758 | − | 0.134147i | ||||
\(156\) | −7.58441 | + | 3.16677i | −0.607239 | + | 0.253544i | ||||
\(157\) | 13.2781 | + | 14.3104i | 1.05971 | + | 1.14210i | 0.989495 | + | 0.144565i | \(0.0461782\pi\) |
0.0702153 | + | 0.997532i | \(0.477631\pi\) | |||||||
\(158\) | 12.8201 | + | 1.93231i | 1.01991 | + | 0.153726i | ||||
\(159\) | 10.3601 | − | 0.223116i | 0.821608 | − | 0.0176943i | ||||
\(160\) | −14.5469 | − | 37.0648i | −1.15003 | − | 2.93023i | ||||
\(161\) | 0.621851 | − | 2.72451i | 0.0490087 | − | 0.214721i | ||||
\(162\) | 7.01172 | − | 23.6809i | 0.550893 | − | 1.86055i | ||||
\(163\) | −2.64540 | − | 8.57617i | −0.207203 | − | 0.671737i | −0.998203 | − | 0.0599206i | \(-0.980915\pi\) |
0.791000 | − | 0.611817i | \(-0.209561\pi\) | |||||||
\(164\) | −6.72230 | + | 13.9590i | −0.524924 | + | 1.09002i | ||||
\(165\) | 12.7707 | − | 6.49242i | 0.994199 | − | 0.505434i | ||||
\(166\) | 13.5779 | + | 7.83921i | 1.05385 | + | 0.608441i | ||||
\(167\) | −7.84394 | − | 11.5049i | −0.606982 | − | 0.890280i | 0.392584 | − | 0.919716i | \(-0.371581\pi\) |
−0.999567 | + | 0.0294365i | \(0.990629\pi\) | |||||||
\(168\) | 39.4510 | − | 6.81804i | 3.04371 | − | 0.526023i | ||||
\(169\) | 12.1268 | − | 1.82782i | 0.932828 | − | 0.140601i | ||||
\(170\) | 5.68832 | + | 4.53629i | 0.436274 | + | 0.347917i | ||||
\(171\) | −1.23691 | + | 11.5665i | −0.0945891 | + | 0.884516i | ||||
\(172\) | −0.428617 | − | 36.2616i | −0.0326817 | − | 2.76492i | ||||
\(173\) | 10.2382i | 0.778392i | 0.921155 | + | 0.389196i | \(0.127247\pi\) | ||||
−0.921155 | + | 0.389196i | \(0.872753\pi\) | |||||||
\(174\) | 7.67282 | − | 8.63499i | 0.581675 | − | 0.654617i | ||||
\(175\) | 0.732615 | + | 4.86058i | 0.0553805 | + | 0.367425i | ||||
\(176\) | −73.0051 | + | 16.6629i | −5.50297 | + | 1.25602i | ||||
\(177\) | −11.3401 | − | 18.6998i | −0.852371 | − | 1.40556i | ||||
\(178\) | −16.0875 | + | 27.8644i | −1.20581 | + | 2.08852i | ||||
\(179\) | 11.0505 | + | 19.1401i | 0.825957 | + | 1.43060i | 0.901186 | + | 0.433433i | \(0.142698\pi\) |
−0.0752290 | + | 0.997166i | \(0.523969\pi\) | |||||||
\(180\) | 24.1719 | + | 14.9978i | 1.80166 | + | 1.11787i | ||||
\(181\) | −4.70646 | + | 1.45175i | −0.349828 | + | 0.107908i | −0.464689 | − | 0.885474i | \(-0.653834\pi\) |
0.114861 | + | 0.993382i | \(0.463358\pi\) | |||||||
\(182\) | 5.60253 | + | 0.419851i | 0.415287 | + | 0.0311214i | ||||
\(183\) | 5.30254 | + | 1.51138i | 0.391975 | + | 0.111724i | ||||
\(184\) | −10.5616 | + | 4.14514i | −0.778614 | + | 0.305584i | ||||
\(185\) | 8.72083 | − | 0.653536i | 0.641168 | − | 0.0480489i | ||||
\(186\) | −8.04991 | − | 1.65584i | −0.590248 | − | 0.121412i | ||||
\(187\) | 5.46815 | − | 5.07370i | 0.399870 | − | 0.371026i | ||||
\(188\) | −20.1044 | − | 41.7472i | −1.46626 | − | 3.04473i | ||||
\(189\) | −8.52528 | + | 9.00212i | −0.620123 | + | 0.654808i | ||||
\(190\) | −16.9830 | − | 6.66533i | −1.23208 | − | 0.483554i | ||||
\(191\) | −3.24761 | − | 1.00175i | −0.234989 | − | 0.0724844i | 0.175024 | − | 0.984564i | \(-0.444000\pi\) |
−0.410013 | + | 0.912080i | \(0.634476\pi\) | |||||||
\(192\) | −39.3830 | − | 40.6531i | −2.84222 | − | 2.93388i | ||||
\(193\) | −3.62232 | − | 4.54224i | −0.260740 | − | 0.326958i | 0.634179 | − | 0.773186i | \(-0.281338\pi\) |
−0.894919 | + | 0.446229i | \(0.852767\pi\) | |||||||
\(194\) | −21.5904 | − | 27.0735i | −1.55010 | − | 1.94377i | ||||
\(195\) | 1.77307 | + | 1.83025i | 0.126972 | + | 0.131067i | ||||
\(196\) | 6.90538 | + | 2.13003i | 0.493242 | + | 0.152145i | ||||
\(197\) | −0.331890 | − | 0.130257i | −0.0236462 | − | 0.00928044i | 0.353488 | − | 0.935439i | \(-0.384995\pi\) |
−0.377135 | + | 0.926158i | \(0.623091\pi\) | |||||||
\(198\) | 25.7332 | − | 30.2475i | 1.82878 | − | 2.14960i | ||||
\(199\) | −4.24711 | − | 8.81921i | −0.301070 | − | 0.625177i | 0.694470 | − | 0.719522i | \(-0.255639\pi\) |
−0.995540 | + | 0.0943443i | \(0.969925\pi\) | |||||||
\(200\) | 14.6294 | − | 13.5741i | 1.03445 | − | 0.959833i | ||||
\(201\) | 16.9504 | + | 3.48662i | 1.19559 | + | 0.245928i | ||||
\(202\) | −27.5133 | + | 2.06184i | −1.93583 | + | 0.145070i | ||||
\(203\) | −5.39812 | + | 2.11861i | −0.378874 | + | 0.148697i | ||||
\(204\) | 14.2443 | + | 4.06005i | 0.997302 | + | 0.284260i | ||||
\(205\) | 4.79020 | + | 0.358976i | 0.334562 | + | 0.0250719i | ||||
\(206\) | −25.2910 | + | 7.80125i | −1.76211 | + | 0.543539i | ||||
\(207\) | 1.85247 | − | 2.98561i | 0.128756 | − | 0.207514i | ||||
\(208\) | −6.65977 | − | 11.5351i | −0.461772 | − | 0.799812i | ||||
\(209\) | −9.35250 | + | 16.1990i | −0.646926 | + | 1.12051i | ||||
\(210\) | −10.0830 | − | 16.6268i | −0.695790 | − | 1.14736i | ||||
\(211\) | −23.2351 | + | 5.30327i | −1.59957 | + | 0.365092i | −0.927036 | − | 0.374971i | \(-0.877653\pi\) |
−0.672537 | + | 0.740063i | \(0.734795\pi\) | |||||||
\(212\) | 4.93124 | + | 32.7166i | 0.338679 | + | 2.24699i | ||||
\(213\) | −10.6184 | + | 11.9500i | −0.727563 | + | 0.818800i | ||||
\(214\) | 14.3246i | 0.979207i | ||||||||
\(215\) | −10.4170 | + | 4.23113i | −0.710434 | + | 0.288561i | ||||
\(216\) | 49.6958 | + | 8.00973i | 3.38137 | + | 0.544993i | ||||
\(217\) | 3.22567 | + | 2.57238i | 0.218973 | + | 0.174625i | ||||
\(218\) | 37.0774 | − | 5.58851i | 2.51120 | − | 0.378502i | ||||
\(219\) | 7.66110 | − | 1.32401i | 0.517689 | − | 0.0894685i | ||||
\(220\) | 25.7675 | + | 37.7939i | 1.73724 | + | 2.54807i | ||||
\(221\) | 1.14906 | + | 0.663413i | 0.0772945 | + | 0.0446260i | ||||
\(222\) | 21.6099 | − | 10.9861i | 1.45036 | − | 0.737339i | ||||
\(223\) | 12.0879 | − | 25.1008i | 0.809467 | − | 1.68087i | 0.0800642 | − | 0.996790i | \(-0.474487\pi\) |
0.729402 | − | 0.684085i | \(-0.239798\pi\) | |||||||
\(224\) | 16.3323 | + | 52.9479i | 1.09124 | + | 3.53773i | ||||
\(225\) | −1.11456 | + | 6.07892i | −0.0743038 | + | 0.405261i | ||||
\(226\) | 1.43334 | − | 6.27989i | 0.0953446 | − | 0.417732i | ||||
\(227\) | −3.80107 | − | 9.68496i | −0.252286 | − | 0.642813i | 0.747484 | − | 0.664280i | \(-0.231262\pi\) |
−0.999770 | + | 0.0214666i | \(0.993166\pi\) | |||||||
\(228\) | −37.1325 | + | 0.799693i | −2.45916 | + | 0.0529609i | ||||
\(229\) | −10.1977 | − | 1.53705i | −0.673880 | − | 0.101571i | −0.196817 | − | 0.980440i | \(-0.563061\pi\) |
−0.477063 | + | 0.878869i | \(0.658299\pi\) | |||||||
\(230\) | 3.74821 | + | 4.03961i | 0.247150 | + | 0.266364i | ||||
\(231\) | −18.3972 | + | 7.68150i | −1.21045 | + | 0.505406i | ||||
\(232\) | 19.4528 | + | 13.2627i | 1.27714 | + | 0.870740i | ||||
\(233\) | −6.62781 | + | 16.8874i | −0.434202 | + | 1.10633i | 0.531588 | + | 0.847003i | \(0.321596\pi\) |
−0.965790 | + | 0.259326i | \(0.916500\pi\) | |||||||
\(234\) | 6.49033 | + | 2.78804i | 0.424286 | + | 0.182260i | ||||
\(235\) | −9.77150 | + | 10.5312i | −0.637422 | + | 0.686978i | ||||
\(236\) | 54.5930 | − | 43.5364i | 3.55370 | − | 2.83398i | ||||
\(237\) | −4.75428 | − | 6.66047i | −0.308824 | − | 0.432644i | ||||
\(238\) | −7.42198 | − | 6.88659i | −0.481095 | − | 0.446391i | ||||
\(239\) | 6.08197 | − | 19.7173i | 0.393410 | − | 1.27540i | −0.514952 | − | 0.857219i | \(-0.672190\pi\) |
0.908362 | − | 0.418185i | \(-0.137333\pi\) | |||||||
\(240\) | −19.1032 | + | 41.9559i | −1.23311 | + | 2.70824i | ||||
\(241\) | −7.76518 | + | 11.3894i | −0.500199 | + | 0.733658i | −0.990442 | − | 0.137928i | \(-0.955956\pi\) |
0.490243 | + | 0.871586i | \(0.336908\pi\) | |||||||
\(242\) | 30.3381 | − | 14.6100i | 1.95020 | − | 0.939169i | ||||
\(243\) | −13.8149 | + | 7.22141i | −0.886226 | + | 0.463254i | ||||
\(244\) | −2.62384 | + | 17.4080i | −0.167974 | + | 1.11444i | ||||
\(245\) | −0.167434 | − | 2.23425i | −0.0106970 | − | 0.142741i | ||||
\(246\) | 12.6367 | − | 4.19795i | 0.805689 | − | 0.267652i | ||||
\(247\) | −3.24368 | − | 0.740350i | −0.206391 | − | 0.0471073i | ||||
\(248\) | 1.25178 | − | 16.7038i | 0.0794880 | − | 1.06069i | ||||
\(249\) | −2.40928 | − | 9.59822i | −0.152682 | − | 0.608263i | ||||
\(250\) | −29.9289 | − | 14.4130i | −1.89287 | − | 0.911559i | ||||
\(251\) | −14.4425 | + | 8.33841i | −0.911605 | + | 0.526316i | −0.880947 | − | 0.473214i | \(-0.843094\pi\) |
−0.0306580 | + | 0.999530i | \(0.509760\pi\) | |||||||
\(252\) | −31.9838 | − | 23.3264i | −2.01479 | − | 1.46942i | ||||
\(253\) | 4.66815 | − | 3.18269i | 0.293484 | − | 0.200094i | ||||
\(254\) | −3.43703 | − | 15.0586i | −0.215659 | − | 0.944862i | ||||
\(255\) | −0.441702 | − | 4.57098i | −0.0276604 | − | 0.286246i | ||||
\(256\) | 33.2142 | − | 41.6493i | 2.07589 | − | 2.60308i | ||||
\(257\) | −0.150863 | −0.00941060 | −0.00470530 | − | 0.999989i | \(-0.501498\pi\) | ||||
−0.00470530 | + | 0.999989i | \(0.501498\pi\) | |||||||
\(258\) | −22.1276 | + | 21.9492i | −1.37761 | + | 1.36650i | ||||
\(259\) | −12.1699 | −0.756202 | ||||||||
\(260\) | −5.07288 | + | 6.36119i | −0.314606 | + | 0.394504i | ||||
\(261\) | −7.28432 | + | 0.313898i | −0.450888 | + | 0.0194298i | ||||
\(262\) | −1.96774 | − | 8.62123i | −0.121567 | − | 0.532622i | ||||
\(263\) | −5.04394 | + | 3.43890i | −0.311023 | + | 0.212052i | −0.708764 | − | 0.705446i | \(-0.750747\pi\) |
0.397741 | + | 0.917498i | \(0.369794\pi\) | |||||||
\(264\) | 67.8436 | + | 44.1457i | 4.17548 | + | 2.71698i | ||||
\(265\) | 8.88385 | − | 5.12910i | 0.545731 | − | 0.315078i | ||||
\(266\) | 22.8743 | + | 11.0157i | 1.40251 | + | 0.675413i | ||||
\(267\) | 19.6973 | − | 4.94429i | 1.20546 | − | 0.302586i | ||||
\(268\) | −4.12910 | + | 55.0990i | −0.252225 | + | 3.36571i | ||||
\(269\) | −16.7729 | − | 3.82831i | −1.02266 | − | 0.233416i | −0.321872 | − | 0.946783i | \(-0.604312\pi\) |
−0.700790 | + | 0.713367i | \(0.747169\pi\) | |||||||
\(270\) | −5.19689 | − | 23.8899i | −0.316272 | − | 1.45389i | ||||
\(271\) | 1.64239 | + | 21.9162i | 0.0997680 | + | 1.33131i | 0.792392 | + | 0.610012i | \(0.208836\pi\) |
−0.692624 | + | 0.721299i | \(0.743545\pi\) | |||||||
\(272\) | −3.57753 | + | 23.7354i | −0.216920 | + | 1.43917i | ||||
\(273\) | −2.27017 | − | 2.72424i | −0.137397 | − | 0.164879i | ||||
\(274\) | −23.1348 | + | 11.1412i | −1.39763 | + | 0.673062i | ||||
\(275\) | −5.59817 | + | 8.21100i | −0.337582 | + | 0.495142i | ||||
\(276\) | 10.2100 | + | 4.64880i | 0.614572 | + | 0.279825i | ||||
\(277\) | 6.28479 | − | 20.3748i | 0.377617 | − | 1.22420i | −0.544984 | − | 0.838446i | \(-0.683464\pi\) |
0.922601 | − | 0.385756i | \(-0.126059\pi\) | |||||||
\(278\) | −24.6443 | − | 22.8666i | −1.47807 | − | 1.37145i | ||||
\(279\) | 2.78468 | + | 4.37656i | 0.166715 | + | 0.262018i | ||||
\(280\) | 30.9862 | − | 24.7107i | 1.85178 | − | 1.47675i | ||||
\(281\) | −5.99256 | + | 6.45844i | −0.357486 | + | 0.385278i | −0.886030 | − | 0.463628i | \(-0.846548\pi\) |
0.528544 | + | 0.848906i | \(0.322738\pi\) | |||||||
\(282\) | −13.7476 | + | 37.3753i | −0.818658 | + | 2.22567i | ||||
\(283\) | 7.40092 | − | 18.8572i | 0.439939 | − | 1.12095i | −0.523264 | − | 0.852171i | \(-0.675286\pi\) |
0.963203 | − | 0.268776i | \(-0.0866191\pi\) | |||||||
\(284\) | −42.1724 | − | 28.7527i | −2.50247 | − | 1.70616i | ||||
\(285\) | 4.43688 | + | 10.6263i | 0.262818 | + | 0.629450i | ||||
\(286\) | 7.72580 | + | 8.32644i | 0.456836 | + | 0.492353i | ||||
\(287\) | −6.61006 | − | 0.996306i | −0.390179 | − | 0.0588101i | ||||
\(288\) | −2.21044 | + | 69.6315i | −0.130251 | + | 4.10308i | ||||
\(289\) | 5.33723 | + | 13.5990i | 0.313955 | + | 0.799943i | ||||
\(290\) | 2.54456 | − | 11.1485i | 0.149422 | − | 0.654660i | ||||
\(291\) | −2.79150 | + | 21.6779i | −0.163640 | + | 1.27078i | ||||
\(292\) | 7.31687 | + | 23.7207i | 0.428188 | + | 1.38815i | ||||
\(293\) | 10.0777 | − | 20.9266i | 0.588747 | − | 1.22255i | −0.367510 | − | 0.930020i | \(-0.619790\pi\) |
0.956257 | − | 0.292527i | \(-0.0944960\pi\) | |||||||
\(294\) | −2.81461 | − | 5.53639i | −0.164151 | − | 0.322889i | ||||
\(295\) | −18.7490 | − | 10.8248i | −1.09161 | − | 0.630241i | ||||
\(296\) | 27.8335 | + | 40.8243i | 1.61779 | + | 2.37286i | ||||
\(297\) | −25.0139 | + | 1.61811i | −1.45145 | + | 0.0938923i | ||||
\(298\) | 32.7579 | − | 4.93746i | 1.89761 | − | 0.286019i | ||||
\(299\) | 0.785708 | + | 0.626581i | 0.0454387 | + | 0.0362361i | ||||
\(300\) | −19.7048 | − | 1.05061i | −1.13766 | − | 0.0606569i | ||||
\(301\) | 14.8958 | − | 4.78826i | 0.858578 | − | 0.275991i | ||||
\(302\) | 51.8486i | 2.98355i | ||||||||
\(303\) | 13.0179 | + | 11.5674i | 0.747861 | + | 0.664528i | ||||
\(304\) | −8.97090 | − | 59.5180i | −0.514516 | − | 3.41359i | ||||
\(305\) | 5.32139 | − | 1.21457i | 0.304702 | − | 0.0695462i | ||||
\(306\) | −6.01195 | − | 11.2208i | −0.343680 | − | 0.641451i | ||||
\(307\) | 6.89828 | − | 11.9482i | 0.393706 | − | 0.681918i | −0.599229 | − | 0.800577i | \(-0.704526\pi\) |
0.992935 | + | 0.118659i | \(0.0378596\pi\) | |||||||
\(308\) | −31.8274 | − | 55.1266i | −1.81353 | − | 3.14113i | ||||
\(309\) | 14.6439 | + | 8.03931i | 0.833061 | + | 0.457341i | ||||
\(310\) | −7.77429 | + | 2.39805i | −0.441550 | + | 0.136200i | ||||
\(311\) | 20.4635 | + | 1.53353i | 1.16038 | + | 0.0869583i | 0.640969 | − | 0.767567i | \(-0.278533\pi\) |
0.519409 | + | 0.854525i | \(0.326152\pi\) | |||||||
\(312\) | −3.94648 | + | 13.8459i | −0.223426 | + | 0.783868i | ||||
\(313\) | 0.882658 | − | 0.346418i | 0.0498908 | − | 0.0195807i | −0.340264 | − | 0.940330i | \(-0.610517\pi\) |
0.390155 | + | 0.920749i | \(0.372421\pi\) | |||||||
\(314\) | 53.4202 | − | 4.00329i | 3.01468 | − | 0.225919i | ||||
\(315\) | −3.10941 | + | 11.8731i | −0.175195 | + | 0.668976i | ||||
\(316\) | 19.1532 | − | 17.7716i | 1.07745 | − | 0.999729i | ||||
\(317\) | 4.86660 | + | 10.1056i | 0.273336 | + | 0.567587i | 0.991774 | − | 0.128004i | \(-0.0408569\pi\) |
−0.718438 | + | 0.695591i | \(0.755143\pi\) | |||||||
\(318\) | 17.2467 | − | 22.6087i | 0.967149 | − | 1.26783i | ||||
\(319\) | −10.9136 | − | 4.28326i | −0.611043 | − | 0.239817i | ||||
\(320\) | −53.5422 | − | 16.5156i | −2.99310 | − | 0.923249i | ||||
\(321\) | 6.49390 | − | 6.29102i | 0.362454 | − | 0.351131i | ||||
\(322\) | −4.78133 | − | 5.99560i | −0.266453 | − | 0.334121i | ||||
\(323\) | 3.73835 | + | 4.68775i | 0.208008 | + | 0.260833i | ||||
\(324\) | −28.5018 | − | 40.8033i | −1.58343 | − | 2.26685i | ||||
\(325\) | −1.68913 | − | 0.521027i | −0.0936961 | − | 0.0289014i | ||||
\(326\) | −22.9258 | − | 8.99771i | −1.26974 | − | 0.498337i | ||||
\(327\) | −18.8170 | − | 14.3543i | −1.04058 | − | 0.793795i | ||||
\(328\) | 11.7756 | + | 24.4522i | 0.650197 | + | 1.35015i | ||||
\(329\) | 14.6552 | − | 13.5980i | 0.807965 | − | 0.749682i | ||||
\(330\) | 7.92074 | − | 38.5070i | 0.436022 | − | 2.11974i | ||||
\(331\) | 26.1205 | − | 1.95746i | 1.43571 | − | 0.107592i | 0.665985 | − | 0.745965i | \(-0.268012\pi\) |
0.769727 | + | 0.638374i | \(0.220393\pi\) | |||||||
\(332\) | 29.4125 | − | 11.5436i | 1.61422 | − | 0.633535i | ||||
\(333\) | −14.4710 | − | 4.97178i | −0.793007 | − | 0.272452i | ||||
\(334\) | −38.1037 | − | 2.85548i | −2.08494 | − | 0.156245i | ||||
\(335\) | 16.3700 | − | 5.04947i | 0.894388 | − | 0.275882i | ||||
\(336\) | 30.8728 | − | 56.2359i | 1.68425 | − | 3.06792i | ||||
\(337\) | 1.08752 | + | 1.88364i | 0.0592411 | + | 0.102609i | 0.894125 | − | 0.447818i | \(-0.147799\pi\) |
−0.834884 | + | 0.550426i | \(0.814465\pi\) | |||||||
\(338\) | 16.8266 | − | 29.1446i | 0.915248 | − | 1.58526i | ||||
\(339\) | −3.47642 | + | 2.10819i | −0.188813 | + | 0.114501i | ||||
\(340\) | 14.2949 | − | 3.26273i | 0.775252 | − | 0.176946i | ||||
\(341\) | 1.24320 | + | 8.24808i | 0.0673230 | + | 0.446659i | ||||
\(342\) | 22.6991 | + | 22.4433i | 1.22743 | + | 1.21360i | ||||
\(343\) | 19.8203i | 1.07020i | ||||||||
\(344\) | −50.1301 | − | 39.0171i | −2.70283 | − | 2.10366i | ||||
\(345\) | 0.185189 | − | 3.47332i | 0.00997023 | − | 0.186998i | ||||
\(346\) | 21.9654 | + | 17.5168i | 1.18087 | + | 0.941710i | ||||
\(347\) | 13.3011 | − | 2.00482i | 0.714042 | − | 0.107624i | 0.218032 | − | 0.975942i | \(-0.430036\pi\) |
0.496009 | + | 0.868317i | \(0.334798\pi\) | |||||||
\(348\) | −3.96447 | − | 22.9395i | −0.212518 | − | 1.22968i | ||||
\(349\) | −15.9483 | − | 23.3919i | −0.853694 | − | 1.25214i | −0.966020 | − | 0.258468i | \(-0.916782\pi\) |
0.112326 | − | 0.993671i | \(-0.464170\pi\) | |||||||
\(350\) | 11.6816 | + | 6.74435i | 0.624406 | + | 0.360501i | ||||
\(351\) | −1.58648 | − | 4.16677i | −0.0846799 | − | 0.222406i | ||||
\(352\) | −48.6052 | + | 100.930i | −2.59067 | + | 5.37957i | ||||
\(353\) | 4.67317 | + | 15.1500i | 0.248728 | + | 0.806355i | 0.990717 | + | 0.135943i | \(0.0434064\pi\) |
−0.741989 | + | 0.670412i | \(0.766117\pi\) | |||||||
\(354\) | −59.5215 | − | 7.66468i | −3.16353 | − | 0.407373i | ||||
\(355\) | −3.52143 | + | 15.4284i | −0.186898 | + | 0.818853i | ||||
\(356\) | 23.6895 | + | 60.3599i | 1.25554 | + | 3.19907i | ||||
\(357\) | 0.137597 | + | 6.38912i | 0.00728241 | + | 0.338148i | ||||
\(358\) | 59.9708 | + | 9.03915i | 3.16956 | + | 0.477734i | ||||
\(359\) | 1.63363 | + | 1.76063i | 0.0862197 | + | 0.0929228i | 0.774688 | − | 0.632344i | \(-0.217907\pi\) |
−0.688468 | + | 0.725267i | \(0.741717\pi\) | |||||||
\(360\) | 46.9402 | − | 16.7242i | 2.47397 | − | 0.881443i | ||||
\(361\) | 3.27604 | + | 2.23357i | 0.172423 | + | 0.117556i | ||||
\(362\) | −4.93779 | + | 12.5813i | −0.259525 | + | 0.661258i | ||||
\(363\) | −19.9471 | − | 7.33707i | −1.04695 | − | 0.385096i | ||||
\(364\) | 7.70120 | − | 8.29992i | 0.403652 | − | 0.435034i | ||||
\(365\) | 6.01730 | − | 4.79864i | 0.314960 | − | 0.251172i | ||||
\(366\) | 12.3149 | − | 8.79043i | 0.643709 | − | 0.459483i | ||||
\(367\) | 16.9170 | + | 15.6967i | 0.883060 | + | 0.819360i | 0.984482 | − | 0.175483i | \(-0.0561488\pi\) |
−0.101422 | + | 0.994843i | \(0.532339\pi\) | |||||||
\(368\) | −5.35883 | + | 17.3729i | −0.279348 | + | 0.905625i | ||||
\(369\) | −7.45287 | − | 3.88510i | −0.387981 | − | 0.202250i | ||||
\(370\) | 13.5186 | − | 19.8282i | 0.702801 | − | 1.03082i | ||||
\(371\) | −12.8616 | + | 6.19381i | −0.667740 | + | 0.321567i | ||||
\(372\) | −12.7238 | + | 10.6030i | −0.659700 | + | 0.549742i | ||||
\(373\) | 4.61238 | − | 30.6011i | 0.238820 | − | 1.58447i | −0.472328 | − | 0.881423i | \(-0.656586\pi\) |
0.711148 | − | 0.703043i | \(-0.248176\pi\) | |||||||
\(374\) | −1.52970 | − | 20.4124i | −0.0790987 | − | 1.05550i | ||||
\(375\) | 6.61011 | + | 19.8979i | 0.341345 | + | 1.02752i | ||||
\(376\) | −79.1323 | − | 18.0614i | −4.08094 | − | 0.931447i | ||||
\(377\) | 0.155841 | − | 2.07955i | 0.00802620 | − | 0.107102i | ||||
\(378\) | 4.72735 | + | 33.6926i | 0.243149 | + | 1.73296i | ||||
\(379\) | 32.2084 | + | 15.5107i | 1.65443 | + | 0.796732i | 0.999145 | + | 0.0413525i | \(0.0131667\pi\) |
0.655287 | + | 0.755380i | \(0.272548\pi\) | |||||||
\(380\) | −31.8414 | + | 18.3837i | −1.63343 | + | 0.943062i | ||||
\(381\) | −5.31721 | + | 8.17155i | −0.272409 | + | 0.418641i | ||||
\(382\) | −7.70565 | + | 5.25362i | −0.394255 | + | 0.268799i | ||||
\(383\) | 1.85088 | + | 8.10922i | 0.0945753 | + | 0.414362i | 0.999947 | − | 0.0102575i | \(-0.00326514\pi\) |
−0.905372 | + | 0.424619i | \(0.860408\pi\) | |||||||
\(384\) | −74.5296 | + | 7.20192i | −3.80332 | + | 0.367522i | ||||
\(385\) | −12.3051 | + | 15.4301i | −0.627125 | + | 0.786390i | ||||
\(386\) | −15.9427 | −0.811460 | ||||||||
\(387\) | 19.6684 | + | 0.391740i | 0.999802 | + | 0.0199132i | ||||
\(388\) | −69.7864 | −3.54287 | ||||||||
\(389\) | 3.21477 | − | 4.03119i | 0.162995 | − | 0.204389i | −0.693626 | − | 0.720335i | \(-0.743988\pi\) |
0.856621 | + | 0.515946i | \(0.172559\pi\) | |||||||
\(390\) | 6.96031 | − | 0.672587i | 0.352449 | − | 0.0340578i | ||||
\(391\) | −0.402999 | − | 1.76565i | −0.0203805 | − | 0.0892930i | ||||
\(392\) | 10.4591 | − | 7.13088i | 0.528263 | − | 0.360164i | ||||
\(393\) | −3.04417 | + | 4.67831i | −0.153558 | + | 0.235989i | ||||
\(394\) | −0.847302 | + | 0.489190i | −0.0426865 | + | 0.0246450i | ||||
\(395\) | −7.29863 | − | 3.51483i | −0.367234 | − | 0.176850i | ||||
\(396\) | −15.3244 | − | 78.5524i | −0.770080 | − | 3.94741i | ||||
\(397\) | −0.249832 | + | 3.33378i | −0.0125387 | + | 0.167317i | 0.987419 | + | 0.158125i | \(0.0505450\pi\) |
−0.999958 | + | 0.00919207i | \(0.997074\pi\) | |||||||
\(398\) | −26.1876 | − | 5.97716i | −1.31267 | − | 0.299608i | ||||
\(399\) | −5.05201 | − | 15.2077i | −0.252917 | − | 0.761335i | ||||
\(400\) | −2.38976 | − | 31.8892i | −0.119488 | − | 1.59446i | ||||
\(401\) | 0.673875 | − | 4.47087i | 0.0336517 | − | 0.223265i | −0.965683 | − | 0.259722i | \(-0.916369\pi\) |
0.999335 | + | 0.0364572i | \(0.0116072\pi\) | |||||||
\(402\) | 36.4813 | − | 30.4007i | 1.81952 | − | 1.51625i | ||||
\(403\) | −1.33675 | + | 0.643744i | −0.0665881 | + | 0.0320672i | ||||
\(404\) | −31.3222 | + | 45.9413i | −1.55834 | + | 2.28566i | ||||
\(405\) | −8.54788 | + | 12.8478i | −0.424747 | + | 0.638414i | ||||
\(406\) | −4.69048 | + | 15.2062i | −0.232785 | + | 0.754669i | ||||
\(407\) | −18.0363 | − | 16.7352i | −0.894025 | − | 0.829534i | ||||
\(408\) | 21.1178 | − | 15.0740i | 1.04548 | − | 0.746273i | ||||
\(409\) | −8.25418 | + | 6.58249i | −0.408143 | + | 0.325483i | −0.805947 | − | 0.591987i | \(-0.798344\pi\) |
0.397805 | + | 0.917470i | \(0.369772\pi\) | |||||||
\(410\) | 8.96587 | − | 9.66291i | 0.442793 | − | 0.477217i | ||||
\(411\) | 15.2110 | + | 5.59501i | 0.750305 | + | 0.275982i | ||||
\(412\) | −19.4868 | + | 49.6515i | −0.960045 | + | 2.44616i | ||||
\(413\) | 24.8924 | + | 16.9714i | 1.22488 | + | 0.835107i | ||||
\(414\) | −3.23600 | − | 9.08256i | −0.159041 | − | 0.446384i | ||||
\(415\) | −6.66323 | − | 7.18126i | −0.327085 | − | 0.352514i | ||||
\(416\) | −19.7033 | − | 2.96980i | −0.966036 | − | 0.145606i | ||||
\(417\) | 0.456884 | + | 21.2147i | 0.0223737 | + | 1.03889i | ||||
\(418\) | 18.7525 | + | 47.7807i | 0.917217 | + | 2.33703i | ||||
\(419\) | 3.95499 | − | 17.3279i | 0.193214 | − | 0.846525i | −0.781649 | − | 0.623719i | \(-0.785621\pi\) |
0.974863 | − | 0.222806i | \(-0.0715217\pi\) | |||||||
\(420\) | −38.8670 | − | 5.00497i | −1.89652 | − | 0.244218i | ||||
\(421\) | −8.48080 | − | 27.4941i | −0.413329 | − | 1.33998i | −0.888011 | − | 0.459822i | \(-0.847913\pi\) |
0.474683 | − | 0.880157i | \(-0.342563\pi\) | |||||||
\(422\) | −28.3759 | + | 58.9233i | −1.38132 | + | 2.86834i | ||||
\(423\) | 22.9814 | − | 10.1820i | 1.11739 | − | 0.495068i | ||||
\(424\) | 50.1927 | + | 28.9788i | 2.43757 | + | 1.40733i | ||||
\(425\) | 1.79448 | + | 2.63202i | 0.0870452 | + | 0.127672i | ||||
\(426\) | 7.47060 | + | 43.2269i | 0.361952 | + | 2.09435i | ||||
\(427\) | −7.51084 | + | 1.13208i | −0.363475 | + | 0.0547850i | ||||
\(428\) | 22.5701 | + | 17.9991i | 1.09097 | + | 0.870017i | ||||
\(429\) | 0.381710 | − | 7.15920i | 0.0184291 | − | 0.345650i | ||||
\(430\) | −8.74516 | + | 29.5883i | −0.421729 | + | 1.42687i | ||||
\(431\) | − | 34.1779i | − | 1.64629i | −0.567830 | − | 0.823146i | \(-0.692217\pi\) | ||
0.567830 | − | 0.823146i | \(-0.307783\pi\) | |||||||
\(432\) | 59.6843 | − | 54.2565i | 2.87156 | − | 2.61042i | ||||
\(433\) | 0.955678 | + | 6.34051i | 0.0459269 | + | 0.304705i | 0.999987 | + | 0.00509006i | \(0.00162022\pi\) |
−0.954060 | + | 0.299615i | \(0.903142\pi\) | |||||||
\(434\) | 11.0378 | − | 2.51931i | 0.529832 | − | 0.120931i | ||||
\(435\) | −6.17156 | + | 3.74260i | −0.295904 | + | 0.179444i | ||||
\(436\) | 37.7829 | − | 65.4420i | 1.80948 | − | 3.13410i | ||||
\(437\) | 2.27068 | + | 3.93293i | 0.108621 | + | 0.188137i | ||||
\(438\) | 10.2670 | − | 18.7018i | 0.490578 | − | 0.893604i | ||||
\(439\) | 20.8463 | − | 6.43022i | 0.994938 | − | 0.306898i | 0.245807 | − | 0.969319i | \(-0.420947\pi\) |
0.749132 | + | 0.662421i | \(0.230471\pi\) | |||||||
\(440\) | 79.9032 | + | 5.98792i | 3.80924 | + | 0.285463i | ||||
\(441\) | −1.27376 | + | 3.70744i | −0.0606551 | + | 0.176545i | ||||
\(442\) | 3.38929 | − | 1.33020i | 0.161212 | − | 0.0632711i | ||||
\(443\) | −21.2549 | + | 1.59283i | −1.00985 | + | 0.0756777i | −0.569367 | − | 0.822084i | \(-0.692812\pi\) |
−0.440482 | + | 0.897761i | \(0.645193\pi\) | |||||||
\(444\) | 9.84323 | − | 47.8532i | 0.467139 | − | 2.27101i | ||||
\(445\) | 14.7373 | − | 13.6742i | 0.698613 | − | 0.648219i | ||||
\(446\) | −33.1708 | − | 68.8798i | −1.57068 | − | 3.26155i | ||||
\(447\) | −16.6249 | − | 12.6821i | −0.786330 | − | 0.599841i | ||||
\(448\) | 72.5834 | + | 28.4869i | 3.42924 | + | 1.34588i | ||||
\(449\) | 4.52931 | + | 1.39711i | 0.213751 | + | 0.0659335i | 0.399781 | − | 0.916611i | \(-0.369086\pi\) |
−0.186030 | + | 0.982544i | \(0.559562\pi\) | |||||||
\(450\) | 11.1350 | + | 12.7919i | 0.524911 | + | 0.603014i | ||||
\(451\) | −8.42630 | − | 10.5663i | −0.396779 | − | 0.497545i | ||||
\(452\) | −8.09371 | − | 10.1492i | −0.380696 | − | 0.477378i | ||||
\(453\) | 23.5050 | − | 22.7707i | 1.10436 | − | 1.06986i | ||||
\(454\) | −27.2819 | − | 8.41536i | −1.28040 | − | 0.394952i | ||||
\(455\) | −3.26779 | − | 1.28251i | −0.153196 | − | 0.0601251i | ||||
\(456\) | −39.4601 | + | 51.7282i | −1.84789 | + | 2.42239i | ||||
\(457\) | 2.94246 | + | 6.11008i | 0.137642 | + | 0.285818i | 0.958384 | − | 0.285482i | \(-0.0921537\pi\) |
−0.820742 | + | 0.571300i | \(0.806439\pi\) | |||||||
\(458\) | −20.7452 | + | 19.2487i | −0.969359 | + | 0.899434i | ||||
\(459\) | −2.44653 | + | 7.65339i | −0.114194 | + | 0.357230i | ||||
\(460\) | 11.0746 | − | 0.829927i | 0.516356 | − | 0.0386955i | ||||
\(461\) | 20.2367 | − | 7.94230i | 0.942515 | − | 0.369910i | 0.156193 | − | 0.987727i | \(-0.450078\pi\) |
0.786322 | + | 0.617817i | \(0.211983\pi\) | |||||||
\(462\) | −14.9962 | + | 52.6127i | −0.697685 | + | 2.44776i | ||||
\(463\) | 4.96251 | + | 0.371889i | 0.230628 | + | 0.0172831i | 0.189543 | − | 0.981873i | \(-0.439300\pi\) |
0.0410850 | + | 0.999156i | \(0.486919\pi\) | |||||||
\(464\) | 36.0503 | − | 11.1200i | 1.67359 | − | 0.516235i | ||||
\(465\) | 4.50142 | + | 2.47123i | 0.208749 | + | 0.114600i | ||||
\(466\) | 24.8912 | + | 43.1128i | 1.15306 | + | 1.99716i | ||||
\(467\) | −11.9244 | + | 20.6536i | −0.551795 | + | 0.955737i | 0.446350 | + | 0.894858i | \(0.352724\pi\) |
−0.998145 | + | 0.0608786i | \(0.980610\pi\) | |||||||
\(468\) | 12.5481 | − | 6.72310i | 0.580037 | − | 0.310775i | ||||
\(469\) | −23.2419 | + | 5.30480i | −1.07321 | + | 0.244953i | ||||
\(470\) | 5.87564 | + | 38.9823i | 0.271023 | + | 1.79812i | ||||
\(471\) | −25.2758 | − | 22.4594i | −1.16465 | − | 1.03487i | ||||
\(472\) | − | 122.317i | − | 5.63010i | ||||||
\(473\) | 28.6606 | + | 13.3872i | 1.31781 | + | 0.615545i | ||||
\(474\) | −22.4239 | − | 1.19559i | −1.02997 | − | 0.0549151i | ||||
\(475\) | −6.24525 | − | 4.98042i | −0.286552 | − | 0.228517i | ||||
\(476\) | −20.1765 | + | 3.04112i | −0.924789 | + | 0.139389i | ||||
\(477\) | −17.8238 | + | 2.11060i | −0.816097 | + | 0.0966376i | ||||
\(478\) | −31.8964 | − | 46.7835i | −1.45891 | − | 2.13983i | ||||
\(479\) | 0.566969 | + | 0.327340i | 0.0259055 | + | 0.0149565i | 0.512897 | − | 0.858450i | \(-0.328572\pi\) |
−0.486991 | + | 0.873407i | \(0.661906\pi\) | |||||||
\(480\) | 31.2539 | + | 61.4770i | 1.42654 | + | 2.80603i | ||||
\(481\) | 1.89886 | − | 3.94303i | 0.0865808 | − | 0.179787i | ||||
\(482\) | 11.1497 | + | 36.1463i | 0.507853 | + | 1.64642i | ||||
\(483\) | −0.618194 | + | 4.80070i | −0.0281288 | + | 0.218439i | ||||
\(484\) | 15.1004 | − | 66.1591i | 0.686381 | − | 3.00723i | ||||
\(485\) | 7.90485 | + | 20.1412i | 0.358941 | + | 0.914567i | ||||
\(486\) | −8.14323 | + | 41.9944i | −0.369385 | + | 1.90491i | ||||
\(487\) | −16.6683 | − | 2.51234i | −0.755312 | − | 0.113845i | −0.239912 | − | 0.970795i | \(-0.577119\pi\) |
−0.515400 | + | 0.856950i | \(0.672357\pi\) | |||||||
\(488\) | 20.9754 | + | 22.6061i | 0.949513 | + | 1.02333i | ||||
\(489\) | 5.98946 | + | 14.3448i | 0.270853 | + | 0.648693i | ||||
\(490\) | −5.07993 | − | 3.46344i | −0.229488 | − | 0.156462i | ||||
\(491\) | 6.83514 | − | 17.4156i | 0.308465 | − | 0.785957i | −0.689624 | − | 0.724168i | \(-0.742224\pi\) |
0.998089 | − | 0.0617892i | \(-0.0196806\pi\) | |||||||
\(492\) | 9.26389 | − | 25.1855i | 0.417648 | − | 1.13545i | ||||
\(493\) | −2.55617 | + | 2.75489i | −0.115124 | + | 0.124074i | ||||
\(494\) | −7.13811 | + | 5.69245i | −0.321159 | + | 0.256116i | ||||
\(495\) | −20.9354 | + | 13.3206i | −0.940975 | + | 0.598717i | ||||
\(496\) | −19.6759 | − | 18.2566i | −0.883474 | − | 0.819744i | ||||
\(497\) | 6.49117 | − | 21.0439i | 0.291169 | − | 0.943946i | ||||
\(498\) | −24.7146 | − | 11.2529i | −1.10749 | − | 0.504257i | ||||
\(499\) | 18.6192 | − | 27.3093i | 0.833510 | − | 1.22253i | −0.139143 | − | 0.990272i | \(-0.544435\pi\) |
0.972653 | − | 0.232262i | \(-0.0746127\pi\) | |||||||
\(500\) | −60.3157 | + | 29.0465i | −2.69740 | + | 1.29900i | ||||
\(501\) | 15.4398 | + | 18.5280i | 0.689798 | + | 0.827770i | ||||
\(502\) | −6.82066 | + | 45.2521i | −0.304421 | + | 2.01970i | ||||
\(503\) | −1.84087 | − | 24.5647i | −0.0820804 | − | 1.09529i | −0.874408 | − | 0.485191i | \(-0.838750\pi\) |
0.792328 | − | 0.610096i | \(-0.208869\pi\) | |||||||
\(504\) | −66.8785 | + | 18.3268i | −2.97901 | + | 0.816340i | ||||
\(505\) | 16.8072 | + | 3.83613i | 0.747909 | + | 0.170705i | ||||
\(506\) | 1.15862 | − | 15.4606i | 0.0515067 | − | 0.687310i | ||||
\(507\) | −20.6023 | + | 5.17145i | −0.914980 | + | 0.229672i | ||||
\(508\) | −28.0454 | − | 13.5059i | −1.24431 | − | 0.599230i | ||||
\(509\) | 17.8471 | − | 10.3040i | 0.791057 | − | 0.456717i | −0.0492772 | − | 0.998785i | \(-0.515692\pi\) |
0.840335 | + | 0.542068i | \(0.182358\pi\) | |||||||
\(510\) | −10.5625 | − | 6.87300i | −0.467716 | − | 0.304342i | ||||
\(511\) | −8.84928 | + | 6.03334i | −0.391469 | + | 0.266899i | ||||
\(512\) | −13.2897 | − | 58.2259i | −0.587327 | − | 2.57325i | ||||
\(513\) | 0.205533 | − | 20.1470i | 0.00907450 | − | 0.889513i | ||||
\(514\) | −0.258117 | + | 0.323669i | −0.0113851 | + | 0.0142764i | ||||
\(515\) | 16.5374 | 0.728724 | ||||||||
\(516\) | 6.77995 | + | 62.4443i | 0.298471 | + | 2.74896i | ||||
\(517\) | 40.4185 | 1.77760 | ||||||||
\(518\) | −20.8219 | + | 26.1099i | −0.914863 | + | 1.14720i | ||||
\(519\) | −1.70563 | − | 17.6508i | −0.0748687 | − | 0.774783i | ||||
\(520\) | 3.17146 | + | 13.8951i | 0.139078 | + | 0.609340i | ||||
\(521\) | 13.4653 | − | 9.18048i | 0.589925 | − | 0.402204i | −0.231238 | − | 0.972897i | \(-0.574278\pi\) |
0.821164 | + | 0.570693i | \(0.193325\pi\) | |||||||
\(522\) | −11.7895 | + | 16.1652i | −0.516014 | + | 0.707530i | ||||
\(523\) | −12.5876 | + | 7.26747i | −0.550419 | + | 0.317784i | −0.749291 | − | 0.662241i | \(-0.769606\pi\) |
0.198872 | + | 0.980025i | \(0.436272\pi\) | |||||||
\(524\) | −16.0563 | − | 7.73231i | −0.701423 | − | 0.337788i | ||||
\(525\) | −2.07279 | − | 8.25769i | −0.0904641 | − | 0.360395i | ||||
\(526\) | −1.25188 | + | 16.7052i | −0.0545847 | + | 0.728383i | ||||
\(527\) | 2.60674 | + | 0.594971i | 0.113551 | + | 0.0259173i | ||||
\(528\) | 123.086 | − | 40.8895i | 5.35664 | − | 1.77949i | ||||
\(529\) | 1.61628 | + | 21.5678i | 0.0702732 | + | 0.937730i | ||||
\(530\) | 4.19551 | − | 27.8354i | 0.182241 | − | 1.20909i | ||||
\(531\) | 22.6658 | + | 30.3497i | 0.983612 | + | 1.31706i | ||||
\(532\) | 46.0984 | − | 22.1998i | 1.99862 | − | 0.962484i | ||||
\(533\) | 1.35416 | − | 1.98619i | 0.0586554 | − | 0.0860316i | ||||
\(534\) | 23.0931 | − | 50.7189i | 0.999337 | − | 2.19482i | ||||
\(535\) | 2.63819 | − | 8.55281i | 0.114059 | − | 0.369770i | ||||
\(536\) | 70.9510 | + | 65.8329i | 3.06462 | + | 2.84355i | ||||
\(537\) | −22.2400 | − | 31.1570i | −0.959728 | − | 1.34452i | ||||
\(538\) | −36.9108 | + | 29.4353i | −1.59134 | + | 1.26905i | ||||
\(539\) | −4.28752 | + | 4.62085i | −0.184677 | + | 0.199034i | ||||
\(540\) | −44.1714 | − | 21.8297i | −1.90083 | − | 0.939400i | ||||
\(541\) | −0.589569 | + | 1.50220i | −0.0253475 | + | 0.0645845i | −0.942987 | − | 0.332829i | \(-0.891997\pi\) |
0.917640 | + | 0.397413i | \(0.130092\pi\) | |||||||
\(542\) | 49.8299 | + | 33.9735i | 2.14038 | + | 1.45928i | ||||
\(543\) | 7.87217 | − | 3.28692i | 0.337827 | − | 0.141055i | ||||
\(544\) | 24.4243 | + | 26.3231i | 1.04718 | + | 1.12859i | ||||
\(545\) | −23.1671 | − | 3.49188i | −0.992371 | − | 0.149576i | ||||
\(546\) | −9.72881 | + | 0.209521i | −0.416355 | + | 0.00896669i | ||||
\(547\) | −5.69037 | − | 14.4988i | −0.243303 | − | 0.619925i | 0.756101 | − | 0.654455i | \(-0.227102\pi\) |
−0.999404 | + | 0.0345297i | \(0.989007\pi\) | |||||||
\(548\) | −11.5151 | + | 50.4508i | −0.491900 | + | 2.15515i | ||||
\(549\) | −9.39348 | − | 1.72227i | −0.400904 | − | 0.0735049i | ||||
\(550\) | 8.03815 | + | 26.0591i | 0.342748 | + | 1.11116i | ||||
\(551\) | 4.08880 | − | 8.49047i | 0.174189 | − | 0.361706i | ||||
\(552\) | 17.5179 | − | 8.90582i | 0.745612 | − | 0.379057i | ||||
\(553\) | 9.76283 | + | 5.63657i | 0.415158 | + | 0.239692i | ||||
\(554\) | −32.9601 | − | 48.3436i | −1.40034 | − | 2.05392i | ||||
\(555\) | −14.9260 | + | 2.57956i | −0.633574 | + | 0.109496i | ||||
\(556\) | −66.9950 | + | 10.0979i | −2.84122 | + | 0.428245i | ||||
\(557\) | −24.1676 | − | 19.2730i | −1.02402 | − | 0.816625i | −0.0408172 | − | 0.999167i | \(-0.512996\pi\) |
−0.983198 | + | 0.182542i | \(0.941568\pi\) | |||||||
\(558\) | 14.1541 | + | 1.51362i | 0.599189 | + | 0.0640766i | ||||
\(559\) | −0.772788 | + | 5.57331i | −0.0326854 | + | 0.235726i | ||||
\(560\) | − | 63.5073i | − | 2.68367i | ||||||
\(561\) | −8.58194 | + | 9.65813i | −0.362330 | + | 0.407766i | ||||
\(562\) | 3.60335 | + | 23.9067i | 0.151998 | + | 1.00844i | ||||
\(563\) | −29.6131 | + | 6.75901i | −1.24805 | + | 0.284858i | −0.794989 | − | 0.606624i | \(-0.792523\pi\) |
−0.453056 | + | 0.891482i | \(0.649666\pi\) | |||||||
\(564\) | 41.6153 | + | 68.6237i | 1.75232 | + | 2.88958i | ||||
\(565\) | −2.01239 | + | 3.48557i | −0.0846620 | + | 0.146639i | ||||
\(566\) | −27.7947 | − | 48.1418i | −1.16830 | − | 2.02355i | ||||
\(567\) | 13.1981 | − | 16.9401i | 0.554266 | − | 0.711418i | ||||
\(568\) | −85.4379 | + | 26.3541i | −3.58490 | + | 1.10579i | ||||
\(569\) | 27.9253 | + | 2.09271i | 1.17069 | + | 0.0877309i | 0.645845 | − | 0.763468i | \(-0.276505\pi\) |
0.524843 | + | 0.851199i | \(0.324124\pi\) | |||||||
\(570\) | 30.3894 | + | 8.66188i | 1.27287 | + | 0.362806i | ||||
\(571\) | −34.4488 | + | 13.5202i | −1.44164 | + | 0.565801i | −0.951993 | − | 0.306120i | \(-0.900969\pi\) |
−0.489646 | + | 0.871922i | \(0.662874\pi\) | |||||||
\(572\) | 22.8269 | − | 1.71064i | 0.954442 | − | 0.0715255i | ||||
\(573\) | 5.76583 | + | 1.18601i | 0.240871 | + | 0.0495462i | ||||
\(574\) | −13.4469 | + | 12.4769i | −0.561263 | + | 0.520776i | ||||
\(575\) | 1.04687 | + | 2.17384i | 0.0436574 | + | 0.0906555i | ||||
\(576\) | 74.6697 | + | 63.5257i | 3.11124 | + | 2.64690i | ||||
\(577\) | −32.4136 | − | 12.7214i | −1.34940 | − | 0.529599i | −0.422993 | − | 0.906133i | \(-0.639021\pi\) |
−0.926403 | + | 0.376534i | \(0.877116\pi\) | |||||||
\(578\) | 38.3076 | + | 11.8163i | 1.59339 | + | 0.491495i | ||||
\(579\) | 7.00166 | + | 7.22745i | 0.290979 | + | 0.300363i | ||||
\(580\) | −14.3685 | − | 18.0175i | −0.596618 | − | 0.748135i | ||||
\(581\) | 8.49981 | + | 10.6584i | 0.352631 | + | 0.442186i | ||||
\(582\) | 41.7327 | + | 43.0785i | 1.72987 | + | 1.78566i | ||||
\(583\) | −27.5787 | − | 8.50689i | −1.14219 | − | 0.352319i | ||||
\(584\) | 40.4780 | + | 15.8864i | 1.67499 | + | 0.657385i | ||||
\(585\) | −3.36172 | − | 2.86000i | −0.138990 | − | 0.118247i | ||||
\(586\) | −27.6546 | − | 57.4253i | −1.14240 | − | 2.37222i | ||||
\(587\) | −4.19338 | + | 3.89089i | −0.173079 | + | 0.160594i | −0.761956 | − | 0.647629i | \(-0.775761\pi\) |
0.588877 | + | 0.808223i | \(0.299570\pi\) | |||||||
\(588\) | −12.2599 | − | 2.52181i | −0.505589 | − | 0.103998i | ||||
\(589\) | −6.68591 | + | 0.501040i | −0.275488 | + | 0.0206450i | ||||
\(590\) | −55.3023 | + | 21.7045i | −2.27676 | + | 0.893562i | ||||
\(591\) | 0.593885 | + | 0.169275i | 0.0244292 | + | 0.00696304i | ||||
\(592\) | 78.9523 | + | 5.91666i | 3.24492 | + | 0.243173i | ||||
\(593\) | −3.18265 | + | 0.981718i | −0.130696 | + | 0.0403143i | −0.359413 | − | 0.933179i | \(-0.617023\pi\) |
0.228717 | + | 0.973493i | \(0.426547\pi\) | |||||||
\(594\) | −39.3255 | + | 56.4344i | −1.61355 | + | 2.31553i | ||||
\(595\) | 3.16314 | + | 5.47872i | 0.129676 | + | 0.224606i | ||||
\(596\) | 33.3813 | − | 57.8181i | 1.36735 | − | 2.36832i | ||||
\(597\) | 8.79134 | + | 14.4970i | 0.359806 | + | 0.593321i | ||||
\(598\) | 2.68859 | − | 0.613653i | 0.109945 | − | 0.0250941i | ||||
\(599\) | 0.546524 | + | 3.62595i | 0.0223304 | + | 0.148152i | 0.997217 | − | 0.0745473i | \(-0.0237512\pi\) |
−0.974887 | + | 0.222700i | \(0.928513\pi\) | |||||||
\(600\) | −22.9600 | + | 25.8392i | −0.937338 | + | 1.05488i | ||||
\(601\) | 8.33674i | 0.340063i | 0.985439 | + | 0.170031i | \(0.0543869\pi\) | ||||
−0.985439 | + | 0.170031i | \(0.945613\pi\) | |||||||
\(602\) | 15.2127 | − | 40.1504i | 0.620025 | − | 1.63641i | ||||
\(603\) | −29.8036 | − | 3.18716i | −1.21370 | − | 0.129791i | ||||
\(604\) | 81.6938 | + | 65.1486i | 3.32407 | + | 2.65086i | ||||
\(605\) | −20.8048 | + | 3.13582i | −0.845835 | + | 0.127489i | ||||
\(606\) | 47.0900 | − | 8.13823i | 1.91290 | − | 0.330593i | ||||
\(607\) | 0.917575 | + | 1.34584i | 0.0372432 | + | 0.0546258i | 0.844409 | − | 0.535699i | \(-0.179952\pi\) |
−0.807166 | + | 0.590325i | \(0.799000\pi\) | |||||||
\(608\) | −77.9804 | − | 45.0220i | −3.16252 | − | 1.82588i | ||||
\(609\) | 8.95352 | − | 4.55182i | 0.362815 | − | 0.184449i | ||||
\(610\) | 6.49875 | − | 13.4948i | 0.263127 | − | 0.546388i | ||||
\(611\) | 2.11909 | + | 6.86993i | 0.0857294 | + | 0.277928i | ||||
\(612\) | −25.2339 | − | 4.62658i | −1.02002 | − | 0.187018i | ||||
\(613\) | −0.449488 | + | 1.96934i | −0.0181547 | + | 0.0795408i | −0.983194 | − | 0.182565i | \(-0.941560\pi\) |
0.965039 | + | 0.262106i | \(0.0844170\pi\) | |||||||
\(614\) | −13.8316 | − | 35.2424i | −0.558199 | − | 1.42227i | ||||
\(615\) | −8.31820 | + | 0.179142i | −0.335422 | + | 0.00722371i | ||||
\(616\) | −110.260 | − | 16.6190i | −4.44248 | − | 0.669597i | ||||
\(617\) | 4.55614 | + | 4.91035i | 0.183423 | + | 0.197683i | 0.818069 | − | 0.575120i | \(-0.195045\pi\) |
−0.634646 | + | 0.772803i | \(0.718854\pi\) | |||||||
\(618\) | 42.3026 | − | 17.6629i | 1.70166 | − | 0.710505i | ||||
\(619\) | 4.04237 | + | 2.75604i | 0.162476 | + | 0.110775i | 0.641829 | − | 0.766848i | \(-0.278176\pi\) |
−0.479352 | + | 0.877623i | \(0.659128\pi\) | |||||||
\(620\) | −5.99010 | + | 15.2625i | −0.240568 | + | 0.612958i | ||||
\(621\) | −2.69631 | + | 5.45587i | −0.108199 | + | 0.218936i | ||||
\(622\) | 38.3018 | − | 41.2795i | 1.53576 | − | 1.65516i | ||||
\(623\) | −21.8730 | + | 17.4432i | −0.876325 | + | 0.698846i | ||||
\(624\) | 13.4033 | + | 18.7772i | 0.536560 | + | 0.751689i | ||||
\(625\) | 7.66453 | + | 7.11164i | 0.306581 | + | 0.284466i | ||||
\(626\) | 0.766950 | − | 2.48639i | 0.0306535 | − | 0.0993762i | ||||
\(627\) | 13.4252 | − | 29.4855i | 0.536152 | − | 1.17754i | ||||
\(628\) | 60.8158 | − | 89.2003i | 2.42681 | − | 3.55948i | ||||
\(629\) | −7.10584 | + | 3.42199i | −0.283328 | + | 0.136444i | ||||
\(630\) | 20.1532 | + | 26.9852i | 0.802922 | + | 1.07512i | ||||
\(631\) | −2.80316 | + | 18.5978i | −0.111592 | + | 0.740365i | 0.861129 | + | 0.508387i | \(0.169758\pi\) |
−0.972721 | + | 0.231978i | \(0.925480\pi\) | |||||||
\(632\) | −3.42032 | − | 45.6409i | −0.136053 | − | 1.81550i | ||||
\(633\) | 39.1744 | − | 13.0138i | 1.55704 | − | 0.517252i | ||||
\(634\) | 30.0075 | + | 6.84901i | 1.19175 | + | 0.272009i | ||||
\(635\) | −0.721227 | + | 9.62410i | −0.0286210 | + | 0.381921i | ||||
\(636\) | −13.9520 | − | 55.5826i | −0.553232 | − | 2.20399i | ||||
\(637\) | −1.01019 | − | 0.486484i | −0.0400254 | − | 0.0192752i | ||||
\(638\) | −27.8619 | + | 16.0861i | −1.10306 | + | 0.636854i | ||||
\(639\) | 16.3156 | − | 22.3710i | 0.645434 | − | 0.884983i | ||||
\(640\) | −61.2434 | + | 41.7550i | −2.42086 | + | 1.65051i | ||||
\(641\) | 1.91405 | + | 8.38598i | 0.0756002 | + | 0.331226i | 0.998559 | − | 0.0536737i | \(-0.0170931\pi\) |
−0.922958 | + | 0.384900i | \(0.874236\pi\) | |||||||
\(642\) | −2.38640 | − | 24.6958i | −0.0941838 | − | 0.974667i | ||||
\(643\) | −19.9807 | + | 25.0550i | −0.787963 | + | 0.988075i | 0.211979 | + | 0.977274i | \(0.432009\pi\) |
−0.999942 | + | 0.0108002i | \(0.996562\pi\) | |||||||
\(644\) | −15.4546 | −0.608997 | ||||||||
\(645\) | 17.2542 | − | 9.02998i | 0.679385 | − | 0.355555i | ||||
\(646\) | 16.4534 | 0.647350 | ||||||||
\(647\) | 9.30707 | − | 11.6707i | 0.365899 | − | 0.458823i | −0.564467 | − | 0.825456i | \(-0.690918\pi\) |
0.930366 | + | 0.366633i | \(0.119490\pi\) | |||||||
\(648\) | −87.0110 | − | 5.52986i | −3.41811 | − | 0.217234i | ||||
\(649\) | 13.5537 | + | 59.3826i | 0.532029 | + | 2.33097i | ||||
\(650\) | −4.00783 | + | 2.73249i | −0.157200 | + | 0.107177i | ||||
\(651\) | −5.98967 | − | 3.89746i | −0.234753 | − | 0.152754i | ||||
\(652\) | −42.9836 | + | 24.8166i | −1.68337 | + | 0.971893i | ||||
\(653\) | −28.8093 | − | 13.8738i | −1.12739 | − | 0.542924i | −0.225225 | − | 0.974307i | \(-0.572312\pi\) |
−0.902169 | + | 0.431383i | \(0.858026\pi\) | |||||||
\(654\) | −62.9911 | + | 15.8116i | −2.46315 | + | 0.618283i | ||||
\(655\) | −0.412910 | + | 5.50991i | −0.0161337 | + | 0.215290i | ||||
\(656\) | 42.3984 | + | 9.67715i | 1.65538 | + | 0.377829i | ||||
\(657\) | −12.9873 | + | 3.55893i | −0.506683 | + | 0.138847i | ||||
\(658\) | −4.09973 | − | 54.7071i | −0.159824 | − | 2.13271i | ||||
\(659\) | −2.40298 | + | 15.9427i | −0.0936067 | + | 0.621040i | 0.892006 | + | 0.452023i | \(0.149297\pi\) |
−0.985613 | + | 0.169017i | \(0.945941\pi\) | |||||||
\(660\) | −50.7199 | − | 60.8648i | −1.97427 | − | 2.36916i | ||||
\(661\) | 10.5893 | − | 5.09954i | 0.411876 | − | 0.198349i | −0.216459 | − | 0.976292i | \(-0.569451\pi\) |
0.628336 | + | 0.777942i | \(0.283737\pi\) | |||||||
\(662\) | 40.4908 | − | 59.3891i | 1.57372 | − | 2.30822i | ||||
\(663\) | −2.09153 | − | 0.952309i | −0.0812284 | − | 0.0369846i | ||||
\(664\) | 16.3142 | − | 52.8894i | 0.633115 | − | 2.05251i | ||||
\(665\) | −11.6288 | − | 10.7900i | −0.450946 | − | 0.418417i | ||||
\(666\) | −35.4256 | + | 22.5404i | −1.37272 | + | 0.873421i | ||||
\(667\) | −2.22545 | + | 1.77474i | −0.0861697 | + | 0.0687180i | ||||
\(668\) | −52.3771 | + | 56.4491i | −2.02653 | + | 2.18408i | ||||
\(669\) | −16.6581 | + | 45.2881i | −0.644041 | + | 1.75094i | ||||
\(670\) | 17.1746 | − | 43.7602i | 0.663513 | − | 1.69060i | ||||
\(671\) | −12.6881 | − | 8.65060i | −0.489818 | − | 0.333953i | ||||
\(672\) | −36.9780 | − | 88.5624i | −1.42646 | − | 3.41637i | ||||
\(673\) | 6.87383 | + | 7.40822i | 0.264967 | + | 0.285566i | 0.851495 | − | 0.524362i | \(-0.175696\pi\) |
−0.586529 | + | 0.809929i | \(0.699506\pi\) | |||||||
\(674\) | 5.90194 | + | 0.889574i | 0.227334 | + | 0.0342651i | ||||
\(675\) | 0.908800 | − | 10.6659i | 0.0349797 | − | 0.410529i | ||||
\(676\) | −24.7779 | − | 63.1331i | −0.952996 | − | 2.42820i | ||||
\(677\) | −0.520691 | + | 2.28130i | −0.0200118 | + | 0.0876773i | −0.983948 | − | 0.178457i | \(-0.942889\pi\) |
0.963936 | + | 0.266135i | \(0.0857465\pi\) | |||||||
\(678\) | −1.42491 | + | 11.0654i | −0.0547235 | + | 0.424966i | ||||
\(679\) | −8.87505 | − | 28.7722i | −0.340593 | − | 1.10418i | ||||
\(680\) | 11.1442 | − | 23.1411i | 0.427359 | − | 0.887420i | ||||
\(681\) | 8.16658 | + | 16.0638i | 0.312944 | + | 0.615567i | ||||
\(682\) | 19.8228 | + | 11.4447i | 0.759056 | + | 0.438241i | ||||
\(683\) | 28.2894 | + | 41.4929i | 1.08246 | + | 1.58768i | 0.770332 | + | 0.637643i | \(0.220091\pi\) |
0.312132 | + | 0.950039i | \(0.398957\pi\) | |||||||
\(684\) | 63.8840 | − | 7.56479i | 2.44267 | − | 0.289247i | ||||
\(685\) | 15.8651 | − | 2.39128i | 0.606174 | − | 0.0913660i | ||||
\(686\) | 42.5234 | + | 33.9113i | 1.62355 | + | 1.29474i | ||||
\(687\) | 17.8370 | + | 0.951025i | 0.680525 | + | 0.0362839i | ||||
\(688\) | −98.9642 | + | 23.8220i | −3.77297 | + | 0.908204i | ||||
\(689\) | − | 5.13355i | − | 0.195573i | ||||||
\(690\) | −7.13498 | − | 6.33994i | −0.271624 | − | 0.241358i | ||||
\(691\) | 0.916265 | + | 6.07902i | 0.0348564 | + | 0.231257i | 0.999475 | − | 0.0323913i | \(-0.0103123\pi\) |
−0.964619 | + | 0.263648i | \(0.915074\pi\) | |||||||
\(692\) | 55.1998 | − | 12.5990i | 2.09838 | − | 0.478942i | ||||
\(693\) | 30.4374 | − | 16.3079i | 1.15622 | − | 0.619488i | ||||
\(694\) | 18.4561 | − | 31.9669i | 0.700585 | − | 1.21345i | ||||
\(695\) | 10.5030 | + | 18.1918i | 0.398403 | + | 0.690054i | ||||
\(696\) | −35.7466 | − | 19.6245i | −1.35497 | − | 0.743863i | ||||
\(697\) | −4.13966 | + | 1.27692i | −0.156801 | + | 0.0483667i | ||||
\(698\) | −77.4726 | − | 5.80577i | −2.93238 | − | 0.219751i | ||||
\(699\) | 8.61312 | − | 30.2183i | 0.325778 | − | 1.14296i | ||||
\(700\) | 25.3046 | − | 9.93134i | 0.956425 | − | 0.375369i | ||||
\(701\) | −48.7322 | + | 3.65197i | −1.84059 | + | 0.137933i | −0.949073 | − | 0.315057i | \(-0.897976\pi\) |
−0.891516 | + | 0.452990i | \(0.850357\pi\) | |||||||
\(702\) | −11.6539 | − | 3.72538i | −0.439850 | − | 0.140605i | ||||
\(703\) | 14.4975 | − | 13.4517i | 0.546783 | − | 0.507340i | ||||
\(704\) | 68.3981 | + | 142.030i | 2.57785 | + | 5.35296i | ||||
\(705\) | 15.0918 | − | 19.7838i | 0.568391 | − | 0.745102i | ||||
\(706\) | 40.4990 | + | 15.8947i | 1.52420 | + | 0.598205i | ||||
\(707\) | −22.9245 | − | 7.07127i | −0.862164 | − | 0.265942i | ||||
\(708\) | −86.8664 | + | 84.1526i | −3.26464 | + | 3.16265i | ||||
\(709\) | −30.0831 | − | 37.7230i | −1.12979 | − | 1.41672i | −0.895788 | − | 0.444482i | \(-0.853388\pi\) |
−0.234006 | − | 0.972235i | \(-0.575184\pi\) | |||||||
\(710\) | 27.0758 | + | 33.9520i | 1.01614 | + | 1.27419i | ||||
\(711\) | 9.30608 | + | 10.6908i | 0.349005 | + | 0.400935i | ||||
\(712\) | 108.539 | + | 33.4798i | 4.06767 | + | 1.25471i | ||||
\(713\) | 1.88517 | + | 0.739873i | 0.0706000 | + | 0.0277085i | ||||
\(714\) | 13.9429 | + | 10.6362i | 0.521800 | + | 0.398048i | ||||
\(715\) | −3.07937 | − | 6.39437i | −0.115162 | − | 0.239136i | ||||
\(716\) | 89.5966 | − | 83.1335i | 3.34838 | − | 3.10685i | ||||
\(717\) | −7.20064 | + | 35.0062i | −0.268913 | + | 1.30733i | ||||
\(718\) | 6.57238 | − | 0.492532i | 0.245279 | − | 0.0183811i | ||||
\(719\) | −24.7684 | + | 9.72090i | −0.923707 | + | 0.362528i | −0.779056 | − | 0.626954i | \(-0.784301\pi\) |
−0.144651 | + | 0.989483i | \(0.546206\pi\) | |||||||
\(720\) | 25.9447 | − | 75.5153i | 0.966900 | − | 2.81429i | ||||
\(721\) | −22.9490 | − | 1.71979i | −0.854666 | − | 0.0640484i | ||||
\(722\) | 10.3971 | − | 3.20708i | 0.386940 | − | 0.119355i | ||||
\(723\) | 11.4899 | − | 20.9293i | 0.427314 | − | 0.778367i | ||||
\(724\) | 13.6189 | + | 23.5887i | 0.506144 | + | 0.876667i | ||||
\(725\) | 2.50337 | − | 4.33597i | 0.0929729 | − | 0.161034i | ||||
\(726\) | −49.8695 | + | 30.2422i | −1.85083 | + | 1.12239i | ||||
\(727\) | 13.5800 | − | 3.09955i | 0.503655 | − | 0.114956i | 0.0368582 | − | 0.999321i | \(-0.488265\pi\) |
0.466797 | + | 0.884364i | \(0.345408\pi\) | |||||||
\(728\) | −2.95605 | − | 19.6121i | −0.109559 | − | 0.726874i | ||||
\(729\) | 22.6141 | − | 14.7514i | 0.837559 | − | 0.546347i | ||||
\(730\) | − | 21.1199i | − | 0.781684i | ||||||
\(731\) | 7.35104 | − | 6.98426i | 0.271888 | − | 0.258322i | ||||
\(732\) | 1.62346 | − | 30.4489i | 0.0600048 | − | 1.12543i | ||||
\(733\) | 25.7294 | + | 20.5185i | 0.950339 | + | 0.757870i | 0.970293 | − | 0.241931i | \(-0.0777808\pi\) |
−0.0199549 | + | 0.999801i | \(0.506352\pi\) | |||||||
\(734\) | 62.6202 | − | 9.43848i | 2.31136 | − | 0.348381i | ||||
\(735\) | 0.660876 | + | 3.82400i | 0.0243768 | + | 0.141051i | ||||
\(736\) | 15.3212 | + | 22.4720i | 0.564746 | + | 0.828331i | ||||
\(737\) | −41.7401 | − | 24.0987i | −1.53752 | − | 0.887686i | ||||
\(738\) | −21.0866 | + | 9.34257i | −0.776210 | + | 0.343905i | ||||
\(739\) | −0.931463 | + | 1.93420i | −0.0342644 | + | 0.0711508i | −0.917398 | − | 0.397970i | \(-0.869715\pi\) |
0.883134 | + | 0.469121i | \(0.155429\pi\) | |||||||
\(740\) | −14.2554 | − | 46.2148i | −0.524038 | − | 1.69889i | ||||
\(741\) | 5.71552 | + | 0.735996i | 0.209965 | + | 0.0270375i | ||||
\(742\) | −8.71685 | + | 38.1910i | −0.320006 | + | 1.40204i | ||||
\(743\) | 13.1167 | + | 33.4207i | 0.481204 | + | 1.22609i | 0.941104 | + | 0.338117i | \(0.109790\pi\) |
−0.459900 | + | 0.887971i | \(0.652115\pi\) | |||||||
\(744\) | 0.624684 | + | 29.0063i | 0.0229020 | + | 1.06342i | ||||
\(745\) | −20.4682 | − | 3.08508i | −0.749897 | − | 0.113029i | ||||
\(746\) | −57.7615 | − | 62.2521i | −2.11480 | − | 2.27921i | ||||
\(747\) | 5.75267 | + | 16.1462i | 0.210479 | + | 0.590757i | ||||
\(748\) | −34.0843 | − | 23.2383i | −1.24624 | − | 0.849675i | ||||
\(749\) | −4.55048 | + | 11.5944i | −0.166271 | + | 0.423651i | ||||
\(750\) | 53.9992 | + | 19.8623i | 1.97177 | + | 0.725269i | ||||
\(751\) | 23.2777 | − | 25.0874i | 0.849417 | − | 0.915454i | −0.147875 | − | 0.989006i | \(-0.547243\pi\) |
0.997291 | + | 0.0735525i | \(0.0234336\pi\) | |||||||
\(752\) | −101.686 | + | 81.0921i | −3.70812 | + | 2.95712i | ||||
\(753\) | 23.5101 | − | 16.7816i | 0.856756 | − | 0.611557i | ||||
\(754\) | −4.19492 | − | 3.89232i | −0.152770 | − | 0.141750i | ||||
\(755\) | 9.54908 | − | 30.9574i | 0.347527 | − | 1.12665i | ||||
\(756\) | 59.0268 | + | 34.8868i | 2.14678 | + | 1.26882i | ||||
\(757\) | −10.1649 | + | 14.9091i | −0.369449 | + | 0.541882i | −0.965276 | − | 0.261231i | \(-0.915872\pi\) |
0.595828 | + | 0.803112i | \(0.296824\pi\) | |||||||
\(758\) | 88.3838 | − | 42.5634i | 3.21024 | − | 1.54597i | ||||
\(759\) | −7.51777 | + | 6.26472i | −0.272878 | + | 0.227395i | ||||
\(760\) | −9.59921 | + | 63.6866i | −0.348200 | + | 2.31016i | ||||
\(761\) | 3.92676 | + | 52.3990i | 0.142345 | + | 1.89946i | 0.375191 | + | 0.926947i | \(0.377577\pi\) |
−0.232847 | + | 0.972513i | \(0.574804\pi\) | |||||||
\(762\) | 8.43421 | + | 25.3888i | 0.305539 | + | 0.919738i | ||||
\(763\) | 31.7861 | + | 7.25496i | 1.15073 | + | 0.262647i | ||||
\(764\) | −1.40455 | + | 18.7425i | −0.0508150 | + | 0.678079i | ||||
\(765\) | 1.52301 | + | 7.80688i | 0.0550644 | + | 0.282258i | ||||
\(766\) | 20.5646 | + | 9.90339i | 0.743029 | + | 0.357824i | ||||
\(767\) | −9.38265 | + | 5.41708i | −0.338788 | + | 0.195599i | ||||
\(768\) | −50.3234 | + | 77.3375i | −1.81589 | + | 2.79068i | ||||
\(769\) | 27.9439 | − | 19.0519i | 1.00768 | − | 0.687027i | 0.0573805 | − | 0.998352i | \(-0.481725\pi\) |
0.950303 | + | 0.311325i | \(0.100773\pi\) | |||||||
\(770\) | 12.0512 | + | 52.7997i | 0.434295 | + | 1.90277i | ||||
\(771\) | 0.260091 | − | 0.0251331i | 0.00936697 | − | 0.000905146i | ||||
\(772\) | −20.0322 | + | 25.1196i | −0.720976 | + | 0.904075i | ||||
\(773\) | 26.1100 | 0.939112 | 0.469556 | − | 0.882903i | \(-0.344414\pi\) | ||||
0.469556 | + | 0.882903i | \(0.344414\pi\) | |||||||
\(774\) | 34.4918 | − | 41.5272i | 1.23978 | − | 1.49267i | ||||
\(775\) | −3.56213 | −0.127956 | ||||||||
\(776\) | −76.2191 | + | 95.5758i | −2.73611 | + | 3.43097i | ||||
\(777\) | 20.9812 | − | 2.02745i | 0.752696 | − | 0.0727343i | ||||
\(778\) | −3.14844 | − | 13.7942i | −0.112877 | − | 0.494546i | ||||
\(779\) | 8.97551 | − | 6.11940i | 0.321581 | − | 0.219250i | ||||
\(780\) | 7.68600 | − | 11.8119i | 0.275203 | − | 0.422935i | ||||
\(781\) | 38.5582 | − | 22.2616i | 1.37972 | − | 0.796582i | ||||
\(782\) | −4.47762 | − | 2.15631i | −0.160119 | − | 0.0771094i | ||||
\(783\) | 12.5060 | − | 1.75470i | 0.446929 | − | 0.0627078i | ||||
\(784\) | 1.51583 | − | 20.2274i | 0.0541369 | − | 0.722406i | ||||
\(785\) | −32.6331 | − | 7.44829i | −1.16472 | − | 0.265841i | ||||
\(786\) | 4.82868 | + | 14.5354i | 0.172233 | + | 0.518459i | ||||
\(787\) | 3.10404 | + | 41.4205i | 0.110647 | + | 1.47648i | 0.725709 | + | 0.688002i | \(0.241512\pi\) |
−0.615062 | + | 0.788479i | \(0.710869\pi\) | |||||||
\(788\) | −0.293870 | + | 1.94970i | −0.0104687 | + | 0.0694553i | ||||
\(789\) | 8.12295 | − | 6.76903i | 0.289185 | − | 0.240984i | ||||
\(790\) | −20.0283 | + | 9.64514i | −0.712577 | + | 0.343159i | ||||
\(791\) | 3.15509 | − | 4.62767i | 0.112182 | − | 0.164541i | ||||
\(792\) | −124.318 | − | 64.8056i | −4.41745 | − | 2.30277i | ||||
\(793\) | 0.805120 | − | 2.61014i | 0.0285907 | − | 0.0926886i | ||||
\(794\) | 6.72499 | + | 6.23987i | 0.238661 | + | 0.221445i | ||||
\(795\) | −14.4615 | + | 10.3227i | −0.512895 | + | 0.366107i | ||||
\(796\) | −42.3230 | + | 33.7514i | −1.50010 | + | 1.19629i | ||||
\(797\) | −9.55297 | + | 10.2957i | −0.338384 | + | 0.364691i | −0.879203 | − | 0.476448i | \(-0.841924\pi\) |
0.540819 | + | 0.841139i | \(0.318114\pi\) | |||||||
\(798\) | −41.2708 | − | 15.1805i | −1.46097 | − | 0.537383i | ||||
\(799\) | 4.73339 | − | 12.0605i | 0.167455 | − | 0.426669i | ||||
\(800\) | −39.5270 | − | 26.9490i | −1.39749 | − | 0.952793i | ||||
\(801\) | −33.1349 | + | 11.8055i | −1.17076 | + | 0.417128i | ||||
\(802\) | −8.43905 | − | 9.09513i | −0.297993 | − | 0.321160i | ||||
\(803\) | −21.4116 | − | 3.22728i | −0.755599 | − | 0.113888i | ||||
\(804\) | −2.06058 | − | 95.6797i | −0.0726709 | − | 3.37436i | ||||
\(805\) | 1.75058 | + | 4.46040i | 0.0616997 | + | 0.157208i | ||||
\(806\) | −0.905971 | + | 3.96932i | −0.0319115 | + | 0.139813i | ||||
\(807\) | 29.5546 | + | 3.80579i | 1.04037 | + | 0.133970i | ||||
\(808\) | 28.7093 | + | 93.0733i | 1.00999 | + | 3.27431i | ||||
\(809\) | 7.58147 | − | 15.7431i | 0.266550 | − | 0.553498i | −0.724137 | − | 0.689657i | \(-0.757762\pi\) |
0.990687 | + | 0.136159i | \(0.0434758\pi\) | |||||||
\(810\) | 12.9395 | + | 40.3208i | 0.454647 | + | 1.41673i | ||||
\(811\) | −20.4318 | − | 11.7963i | −0.717457 | − | 0.414224i | 0.0963590 | − | 0.995347i | \(-0.469280\pi\) |
−0.813816 | + | 0.581123i | \(0.802614\pi\) | |||||||
\(812\) | 18.0655 | + | 26.4972i | 0.633975 | + | 0.929871i | ||||
\(813\) | −6.48264 | − | 37.5103i | −0.227356 | − | 1.31554i | ||||
\(814\) | −66.7634 | + | 10.0630i | −2.34006 | + | 0.352707i | ||||
\(815\) | 12.0312 | + | 9.59459i | 0.421436 | + | 0.336084i | ||||
\(816\) | 2.21354 | − | 41.5163i | 0.0774894 | − | 1.45336i | ||||
\(817\) | −12.4521 | + | 22.1687i | −0.435643 | + | 0.775584i | ||||
\(818\) | 28.9711i | 1.01295i | ||||||||
\(819\) | 4.36766 | + | 4.31845i | 0.152618 | + | 0.150899i | ||||
\(820\) | −3.95933 | − | 26.2684i | −0.138266 | − | 0.917334i | ||||
\(821\) | −6.74287 | + | 1.53902i | −0.235328 | + | 0.0537120i | −0.338558 | − | 0.940945i | \(-0.609939\pi\) |
0.103231 | + | 0.994657i | \(0.467082\pi\) | |||||||
\(822\) | 38.0289 | − | 23.0617i | 1.32641 | − | 0.804370i | ||||
\(823\) | −14.3079 | + | 24.7820i | −0.498742 | + | 0.863846i | −0.999999 | − | 0.00145252i | \(-0.999538\pi\) |
0.501257 | + | 0.865298i | \(0.332871\pi\) | |||||||
\(824\) | 46.7171 | + | 80.9164i | 1.62747 | + | 2.81886i | ||||
\(825\) | 8.28344 | − | 15.0886i | 0.288392 | − | 0.525316i | ||||
\(826\) | 79.0005 | − | 24.3684i | 2.74878 | − | 0.847886i | ||||
\(827\) | 15.3699 | + | 1.15182i | 0.534464 | + | 0.0400525i | 0.339229 | − | 0.940704i | \(-0.389834\pi\) |
0.195235 | + | 0.980756i | \(0.437453\pi\) | |||||||
\(828\) | −18.3768 | − | 6.31368i | −0.638637 | − | 0.219415i | ||||
\(829\) | −8.75867 | + | 3.43752i | −0.304201 | + | 0.119390i | −0.512532 | − | 0.858668i | \(-0.671292\pi\) |
0.208331 | + | 0.978058i | \(0.433197\pi\) | |||||||
\(830\) | −26.8073 | + | 2.00893i | −0.930497 | + | 0.0697311i | ||||
\(831\) | −7.44077 | + | 36.1736i | −0.258117 | + | 1.25485i | ||||
\(832\) | −20.5548 | + | 19.0721i | −0.712611 | + | 0.661206i | ||||
\(833\) | 0.876706 | + | 1.82050i | 0.0303760 | + | 0.0630765i | ||||
\(834\) | 46.2967 | + | 35.3168i | 1.60312 | + | 1.22292i | ||||
\(835\) | 22.2248 | + | 8.72258i | 0.769120 | + | 0.301857i | ||||
\(836\) | 98.8472 | + | 30.4903i | 3.41870 | + | 1.05453i | ||||
\(837\) | −5.52996 | − | 7.08136i | −0.191143 | − | 0.244768i | ||||
\(838\) | −30.4094 | − | 38.1322i | −1.05047 | − | 1.31725i | ||||
\(839\) | 10.3743 | + | 13.0090i | 0.358161 | + | 0.449119i | 0.927969 | − | 0.372659i | \(-0.121554\pi\) |
−0.569808 | + | 0.821778i | \(0.692982\pi\) | |||||||
\(840\) | −49.3042 | + | 47.7639i | −1.70116 | + | 1.64801i | ||||
\(841\) | −22.0674 | − | 6.80689i | −0.760944 | − | 0.234720i | ||||
\(842\) | −73.4971 | − | 28.8455i | −2.53288 | − | 0.994081i | ||||
\(843\) | 9.25534 | − | 12.1328i | 0.318771 | − | 0.417876i | ||||
\(844\) | 57.1860 | + | 118.748i | 1.96842 | + | 4.08747i | ||||
\(845\) | −15.4144 | + | 14.3024i | −0.530270 | + | 0.492019i | ||||
\(846\) | 17.4746 | − | 66.7260i | 0.600789 | − | 2.29409i | ||||
\(847\) | 29.1971 | − | 2.18802i | 1.00322 | − | 0.0751812i | ||||
\(848\) | 86.4508 | − | 33.9294i | 2.96873 | − | 1.16514i | ||||
\(849\) | −9.61782 | + | 33.7432i | −0.330083 | + | 1.15806i | ||||
\(850\) | 8.71710 | + | 0.653257i | 0.298994 | + | 0.0224065i | ||||
\(851\) | −5.70826 | + | 1.76076i | −0.195677 | + | 0.0603582i | ||||
\(852\) | 77.4962 | + | 42.5445i | 2.65498 | + | 1.45755i | ||||
\(853\) | 2.01912 | + | 3.49721i | 0.0691332 | + | 0.119742i | 0.898520 | − | 0.438933i | \(-0.144643\pi\) |
−0.829387 | + | 0.558675i | \(0.811310\pi\) | |||||||
\(854\) | −10.4217 | + | 18.0510i | −0.356625 | + | 0.617692i | ||||
\(855\) | −9.41957 | − | 17.5809i | −0.322142 | − | 0.601252i | ||||
\(856\) | 49.3011 | − | 11.2527i | 1.68508 | − | 0.384608i | ||||
\(857\) | −4.89319 | − | 32.4642i | −0.167148 | − | 1.10896i | −0.902317 | − | 0.431072i | \(-0.858135\pi\) |
0.735169 | − | 0.677884i | \(-0.237103\pi\) | |||||||
\(858\) | −14.7066 | − | 13.0679i | −0.502075 | − | 0.446130i | ||||
\(859\) | 40.7508i | 1.39040i | 0.718817 | + | 0.695199i | \(0.244684\pi\) | ||||
−0.718817 | + | 0.695199i | \(0.755316\pi\) | |||||||
\(860\) | 35.6315 | + | 50.9572i | 1.21503 | + | 1.73763i | ||||
\(861\) | 11.5619 | + | 0.616448i | 0.394027 | + | 0.0210085i | ||||
\(862\) | −73.3268 | − | 58.4762i | −2.49752 | − | 1.99171i | ||||
\(863\) | −3.73766 | + | 0.563362i | −0.127232 | + | 0.0191771i | −0.212349 | − | 0.977194i | \(-0.568111\pi\) |
0.0851177 | + | 0.996371i | \(0.472873\pi\) | |||||||
\(864\) | −7.78943 | − | 120.414i | −0.265002 | − | 4.09658i | ||||
\(865\) | −9.88882 | − | 14.5042i | −0.336230 | − | 0.493159i | ||||
\(866\) | 15.2383 | + | 8.79784i | 0.517819 | + | 0.298963i | ||||
\(867\) | −11.4670 | − | 22.5559i | −0.389441 | − | 0.766037i | ||||
\(868\) | 9.89972 | − | 20.5570i | 0.336018 | − | 0.697750i | ||||
\(869\) | 6.71786 | + | 21.7788i | 0.227888 | + | 0.738794i | ||||
\(870\) | −2.52960 | + | 19.6441i | −0.0857614 | + | 0.665996i | ||||
\(871\) | 1.90767 | − | 8.35803i | 0.0646388 | − | 0.283201i | ||||
\(872\) | −48.3602 | − | 123.220i | −1.63768 | − | 4.17275i | ||||
\(873\) | 1.20117 | − | 37.8382i | 0.0406533 | − | 1.28063i | ||||
\(874\) | 12.3229 | + | 1.85737i | 0.416827 | + | 0.0628265i | ||||
\(875\) | −19.6462 | − | 21.1735i | −0.664162 | − | 0.715796i | ||||
\(876\) | −16.5662 | − | 39.6761i | −0.559720 | − | 1.34053i | ||||
\(877\) | −26.7473 | − | 18.2360i | −0.903192 | − | 0.615786i | 0.0201365 | − | 0.999797i | \(-0.493590\pi\) |
−0.923328 | + | 0.384011i | \(0.874542\pi\) | |||||||
\(878\) | 21.8709 | − | 55.7262i | 0.738108 | − | 1.88067i | ||||
\(879\) | −13.8879 | + | 37.7568i | −0.468429 | + | 1.27351i | ||||
\(880\) | 87.3308 | − | 94.1202i | 2.94392 | − | 3.17279i | ||||
\(881\) | 27.0637 | − | 21.5826i | 0.911799 | − | 0.727135i | −0.0506161 | − | 0.998718i | \(-0.516118\pi\) |
0.962415 | + | 0.271583i | \(0.0875471\pi\) | |||||||
\(882\) | 5.77478 | + | 9.07596i | 0.194447 | + | 0.305603i | ||||
\(883\) | −0.613897 | − | 0.569613i | −0.0206593 | − | 0.0191690i | 0.669776 | − | 0.742564i | \(-0.266390\pi\) |
−0.690435 | + | 0.723395i | \(0.742581\pi\) | |||||||
\(884\) | 2.16281 | − | 7.01166i | 0.0727432 | − | 0.235828i | ||||
\(885\) | 34.1270 | + | 15.5386i | 1.14717 | + | 0.522324i | ||||
\(886\) | −32.9484 | + | 48.3264i | −1.10692 | + | 1.62356i | ||||
\(887\) | 37.2910 | − | 17.9584i | 1.25211 | − | 0.602984i | 0.314032 | − | 0.949412i | \(-0.398320\pi\) |
0.938076 | + | 0.346429i | \(0.112606\pi\) | |||||||
\(888\) | −54.7867 | − | 65.7450i | −1.83852 | − | 2.20626i | ||||
\(889\) | 2.00170 | − | 13.2804i | 0.0671350 | − | 0.445411i | ||||
\(890\) | −4.12270 | − | 55.0136i | −0.138193 | − | 1.84406i | ||||
\(891\) | 42.8549 | − | 6.95685i | 1.43569 | − | 0.233063i | ||||
\(892\) | −150.208 | − | 34.2840i | −5.02934 | − | 1.14791i | ||||
\(893\) | −2.42785 | + | 32.3974i | −0.0812448 | + | 1.08414i | ||||
\(894\) | −55.6527 | + | 13.9696i | −1.86131 | + | 0.467213i | ||||
\(895\) | −34.1422 | − | 16.4420i | −1.14125 | − | 0.549596i | ||||
\(896\) | 89.3302 | − | 51.5748i | 2.98431 | − | 1.72299i | ||||
\(897\) | −1.45896 | − | 0.949344i | −0.0487133 | − | 0.0316977i | ||||
\(898\) | 10.7468 | − | 7.32702i | 0.358624 | − | 0.244506i | ||||
\(899\) | −0.935118 | − | 4.09702i | −0.0311879 | − | 0.136643i | ||||
\(900\) | 34.1465 | − | 1.47145i | 1.13822 | − | 0.0490484i | ||||
\(901\) | −5.76809 | + | 7.23296i | −0.192163 | + | 0.240965i | ||||
\(902\) | −37.0862 | −1.23483 | ||||||||
\(903\) | −24.8829 | + | 10.7366i | −0.828051 | + | 0.357292i | ||||
\(904\) | −22.7396 | −0.756307 | ||||||||
\(905\) | 5.26535 | − | 6.60254i | 0.175026 | − | 0.219476i | ||||
\(906\) | −8.63772 | − | 89.3880i | −0.286969 | − | 2.96972i | ||||
\(907\) | −7.23994 | − | 31.7202i | −0.240398 | − | 1.05325i | −0.940656 | − | 0.339363i | \(-0.889789\pi\) |
0.700257 | − | 0.713890i | \(-0.253069\pi\) | |||||||
\(908\) | −47.5396 | + | 32.4120i | −1.57766 | + | 1.07563i | ||||
\(909\) | −24.3702 | − | 17.7737i | −0.808310 | − | 0.589515i | ||||
\(910\) | −8.34254 | + | 4.81657i | −0.276552 | + | 0.159668i | ||||
\(911\) | −15.8898 | − | 7.65211i | −0.526452 | − | 0.253526i | 0.151727 | − | 0.988422i | \(-0.451516\pi\) |
−0.678179 | + | 0.734897i | \(0.737231\pi\) | |||||||
\(912\) | 25.3814 | + | 101.116i | 0.840463 | + | 3.34828i | ||||
\(913\) | −2.05968 | + | 27.4845i | −0.0681655 | + | 0.909605i | ||||
\(914\) | 18.1432 | + | 4.14107i | 0.600124 | + | 0.136974i | ||||
\(915\) | −8.97184 | + | 2.98046i | −0.296600 | + | 0.0985311i | ||||
\(916\) | 4.26204 | + | 56.8729i | 0.140822 | + | 1.87913i | ||||
\(917\) | 1.14600 | − | 7.60320i | 0.0378442 | − | 0.251080i | ||||
\(918\) | 12.2341 | + | 18.3433i | 0.403784 | + | 0.605421i | ||||
\(919\) | 7.44461 | − | 3.58514i | 0.245575 | − | 0.118263i | −0.307048 | − | 0.951694i | \(-0.599341\pi\) |
0.552623 | + | 0.833431i | \(0.313627\pi\) | |||||||
\(920\) | 10.9588 | − | 16.0736i | 0.361301 | − | 0.529931i | ||||
\(921\) | −9.90227 | + | 21.7481i | −0.326291 | + | 0.716625i | ||||
\(922\) | 17.5838 | − | 57.0054i | 0.579093 | − | 1.87737i | ||||
\(923\) | 5.80536 | + | 5.38659i | 0.191086 | + | 0.177302i | ||||
\(924\) | 64.0548 | + | 89.7371i | 2.10725 | + | 2.95213i | ||||
\(925\) | 8.21494 | − | 6.55119i | 0.270105 | − | 0.215402i | ||||
\(926\) | 9.28840 | − | 10.0105i | 0.305236 | − | 0.328966i | ||||
\(927\) | −26.5857 | − | 11.4203i | −0.873187 | − | 0.375093i | ||||
\(928\) | 20.6192 | − | 52.5369i | 0.676859 | − | 1.72461i | ||||
\(929\) | −8.18883 | − | 5.58305i | −0.268667 | − | 0.183174i | 0.421492 | − | 0.906832i | \(-0.361507\pi\) |
−0.690158 | + | 0.723658i | \(0.742459\pi\) | |||||||
\(930\) | 13.0035 | − | 5.42944i | 0.426402 | − | 0.178039i | ||||
\(931\) | −3.44629 | − | 3.71422i | −0.112948 | − | 0.121729i | ||||
\(932\) | 99.2057 | + | 14.9528i | 3.24959 | + | 0.489797i | ||||
\(933\) | −35.5349 | + | 0.765287i | −1.16336 | + | 0.0250544i | ||||
\(934\) | 23.9094 | + | 60.9202i | 0.782339 | + | 1.99337i | ||||
\(935\) | −2.84606 | + | 12.4694i | −0.0930761 | + | 0.407793i | ||||
\(936\) | 4.49716 | − | 24.5280i | 0.146994 | − | 0.801724i | ||||
\(937\) | 10.3254 | + | 33.4742i | 0.337317 | + | 1.09356i | 0.952338 | + | 0.305044i | \(0.0986713\pi\) |
−0.615021 | + | 0.788511i | \(0.710853\pi\) | |||||||
\(938\) | −28.3841 | + | 58.9403i | −0.926775 | + | 1.92447i | ||||
\(939\) | −1.46401 | + | 0.744278i | −0.0477761 | + | 0.0242886i | ||||
\(940\) | 68.8043 | + | 39.7242i | 2.24415 | + | 1.29566i | ||||
\(941\) | −23.6717 | − | 34.7201i | −0.771677 | − | 1.13184i | −0.987838 | − | 0.155485i | \(-0.950306\pi\) |
0.216161 | − | 0.976358i | \(-0.430646\pi\) | |||||||
\(942\) | −91.4307 | + | 15.8013i | −2.97897 | + | 0.514835i | ||||
\(943\) | −3.24457 | + | 0.489041i | −0.105658 | + | 0.0159254i | ||||
\(944\) | −153.239 | − | 122.204i | −4.98749 | − | 3.97739i | ||||
\(945\) | 3.38267 | − | 20.9876i | 0.110038 | − | 0.682725i | ||||
\(946\) | 77.7579 | − | 38.5850i | 2.52813 | − | 1.25451i | ||||
\(947\) | − | 30.1333i | − | 0.979199i | −0.871947 | − | 0.489600i | \(-0.837143\pi\) | ||
0.871947 | − | 0.489600i | \(-0.162857\pi\) | |||||||
\(948\) | −30.0599 | + | 33.8294i | −0.976299 | + | 1.09873i | ||||
\(949\) | −0.574044 | − | 3.80853i | −0.0186342 | − | 0.123630i | ||||
\(950\) | −21.3704 | + | 4.87766i | −0.693348 | + | 0.158252i | ||||
\(951\) | −10.0737 | − | 16.6115i | −0.326661 | − | 0.538665i | ||||
\(952\) | −17.8714 | + | 30.9541i | −0.579214 | + | 1.00323i | ||||
\(953\) | 3.97445 | + | 6.88396i | 0.128745 | + | 0.222993i | 0.923191 | − | 0.384342i | \(-0.125572\pi\) |
−0.794446 | + | 0.607335i | \(0.792238\pi\) | |||||||
\(954\) | −25.9672 | + | 41.8511i | −0.840720 | + | 1.35498i | ||||
\(955\) | 5.56841 | − | 1.71763i | 0.180189 | − | 0.0555811i | ||||
\(956\) | −113.791 | − | 8.52749i | −3.68028 | − | 0.275799i | ||||
\(957\) | 19.5288 | + | 5.56629i | 0.631277 | + | 0.179932i | ||||
\(958\) | 1.67234 | − | 0.656343i | 0.0540307 | − | 0.0212055i | ||||
\(959\) | −22.2648 | + | 1.66851i | −0.718967 | + | 0.0538791i | ||||
\(960\) | 95.0593 | + | 19.5533i | 3.06802 | + | 0.631081i | ||||
\(961\) | 20.5329 | − | 19.0517i | 0.662351 | − | 0.614572i | ||||
\(962\) | −5.21072 | − | 10.8202i | −0.168001 | − | 0.348857i | ||||
\(963\) | −10.1476 | + | 11.9277i | −0.327001 | + | 0.384365i | ||||
\(964\) | 70.9627 | + | 27.8508i | 2.28556 | + | 0.897014i | ||||
\(965\) | 9.51893 | + | 2.93620i | 0.306425 | + | 0.0945197i | ||||
\(966\) | 9.24194 | + | 9.53998i | 0.297355 | + | 0.306944i | ||||
\(967\) | 27.0879 | + | 33.9671i | 0.871087 | + | 1.09231i | 0.994986 | + | 0.100014i | \(0.0318888\pi\) |
−0.123899 | + | 0.992295i | \(0.539540\pi\) | |||||||
\(968\) | −74.1157 | − | 92.9382i | −2.38217 | − | 2.98715i | ||||
\(969\) | −7.22595 | − | 7.45898i | −0.232131 | − | 0.239617i | ||||
\(970\) | 56.7366 | + | 17.5009i | 1.82170 | + | 0.561921i | ||||
\(971\) | 49.9703 | + | 19.6119i | 1.60362 | + | 0.629375i | 0.987407 | − | 0.158202i | \(-0.0505698\pi\) |
0.616216 | + | 0.787578i | \(0.288665\pi\) | |||||||
\(972\) | 55.9353 | + | 65.5974i | 1.79412 | + | 2.10404i | ||||
\(973\) | −12.6833 | − | 26.3372i | −0.406608 | − | 0.844330i | ||||
\(974\) | −33.9084 | + | 31.4624i | −1.08650 | + | 1.00812i | ||||
\(975\) | 2.99889 | + | 0.616861i | 0.0960415 | + | 0.0197554i | ||||
\(976\) | 49.2769 | − | 3.69279i | 1.57732 | − | 0.118203i | ||||
\(977\) | −54.7571 | + | 21.4906i | −1.75183 | + | 0.687544i | −0.752245 | + | 0.658883i | \(0.771029\pi\) |
−0.999589 | + | 0.0286612i | \(0.990876\pi\) | |||||||
\(978\) | 41.0235 | + | 11.6929i | 1.31179 | + | 0.373898i | ||||
\(979\) | −56.4033 | − | 4.22684i | −1.80266 | − | 0.135091i | ||||
\(980\) | −11.8401 | + | 3.65219i | −0.378218 | + | 0.116665i | ||||
\(981\) | 34.8323 | + | 21.6123i | 1.11211 | + | 0.690028i | ||||
\(982\) | −25.6698 | − | 44.4614i | −0.819157 | − | 1.41882i | ||||
\(983\) | −4.90139 | + | 8.48945i | −0.156330 | + | 0.270771i | −0.933543 | − | 0.358467i | \(-0.883300\pi\) |
0.777213 | + | 0.629238i | \(0.216633\pi\) | |||||||
\(984\) | −24.3749 | − | 40.1944i | −0.777045 | − | 1.28135i | ||||
\(985\) | 0.595996 | − | 0.136032i | 0.0189900 | − | 0.00433435i | ||||
\(986\) | 1.53703 | + | 10.1976i | 0.0489491 | + | 0.324756i | ||||
\(987\) | −23.0004 | + | 25.8847i | −0.732112 | + | 0.823919i | ||||
\(988\) | 18.3996i | 0.585370i | ||||||||
\(989\) | 6.29403 | − | 4.40106i | 0.200139 | − | 0.139946i | ||||
\(990\) | −7.24044 | + | 67.7064i | −0.230116 | + | 2.15185i | ||||
\(991\) | 11.6710 | + | 9.30731i | 0.370741 | + | 0.295656i | 0.791082 | − | 0.611710i | \(-0.209518\pi\) |
−0.420341 | + | 0.907366i | \(0.638089\pi\) | |||||||
\(992\) | −39.7055 | + | 5.98464i | −1.26065 | + | 0.190012i | ||||
\(993\) | −44.7061 | + | 7.72624i | −1.41871 | + | 0.245185i | ||||
\(994\) | −34.0425 | − | 49.9311i | −1.07976 | − | 1.58372i | ||||
\(995\) | 14.5351 | + | 8.39185i | 0.460794 | + | 0.266039i | ||||
\(996\) | −48.7847 | + | 24.8013i | −1.54580 | + | 0.785860i | ||||
\(997\) | −5.61596 | + | 11.6617i | −0.177859 | + | 0.369329i | −0.970771 | − | 0.240008i | \(-0.922850\pi\) |
0.792912 | + | 0.609337i | \(0.208564\pi\) | |||||||
\(998\) | −26.7345 | − | 86.6710i | −0.846264 | − | 2.74352i | ||||
\(999\) | 25.7766 | + | 6.16065i | 0.815536 | + | 0.194914i |
(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 | 129.2.n.b.62.12 | yes | 144 | |
3.2 | odd | 2 | inner | 129.2.n.b.62.1 | ✓ | 144 | |
43.34 | odd | 42 | inner | 129.2.n.b.77.1 | yes | 144 | |
129.77 | even | 42 | inner | 129.2.n.b.77.12 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
129.2.n.b.62.1 | ✓ | 144 | 3.2 | odd | 2 | inner | |
129.2.n.b.62.12 | yes | 144 | 1.1 | even | 1 | trivial | |
129.2.n.b.77.1 | yes | 144 | 43.34 | odd | 42 | inner | |
129.2.n.b.77.12 | yes | 144 | 129.77 | even | 42 | inner |