Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(2,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.f (of order \(58\), degree \(28\), 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: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(504\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 89.13 | ||
Character | \(\chi\) | \(=\) | 177.89 |
Dual form | 177.2.f.a.2.13 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{57}{58}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0767664 | + | 1.41587i | 0.0542821 | + | 1.00117i | 0.891133 | + | 0.453743i | \(0.149911\pi\) |
−0.836851 | + | 0.547431i | \(0.815606\pi\) | |||||||
\(3\) | −1.40399 | + | 1.01430i | −0.810594 | + | 0.585608i | ||||
\(4\) | −0.0105295 | + | 0.00114515i | −0.00526475 | + | 0.000572576i | ||||
\(5\) | 0.435891 | + | 1.29368i | 0.194936 | + | 0.578551i | 0.999891 | − | 0.0147862i | \(-0.00470676\pi\) |
−0.804954 | + | 0.593337i | \(0.797810\pi\) | |||||||
\(6\) | −1.54390 | − | 1.91001i | −0.630296 | − | 0.779758i | ||||
\(7\) | −0.863119 | + | 1.27300i | −0.326228 | + | 0.481151i | −0.955069 | − | 0.296383i | \(-0.904219\pi\) |
0.628841 | + | 0.777534i | \(0.283530\pi\) | |||||||
\(8\) | 0.456369 | + | 2.78373i | 0.161351 | + | 0.984196i | ||||
\(9\) | 0.942378 | − | 2.84814i | 0.314126 | − | 0.949381i | ||||
\(10\) | −1.79822 | + | 0.716478i | −0.568648 | + | 0.226570i | ||||
\(11\) | −4.10679 | − | 0.903973i | −1.23824 | − | 0.272558i | −0.452869 | − | 0.891577i | \(-0.649599\pi\) |
−0.785376 | + | 0.619019i | \(0.787530\pi\) | |||||||
\(12\) | 0.0136218 | − | 0.0122879i | 0.00393227 | − | 0.00354720i | ||||
\(13\) | 1.27734 | + | 1.08498i | 0.354270 | + | 0.300919i | 0.806794 | − | 0.590833i | \(-0.201201\pi\) |
−0.452525 | + | 0.891752i | \(0.649477\pi\) | |||||||
\(14\) | −1.86867 | − | 1.12434i | −0.499424 | − | 0.300493i | ||||
\(15\) | −1.92417 | − | 1.37419i | −0.496818 | − | 0.354813i | ||||
\(16\) | −3.92706 | + | 0.864411i | −0.981765 | + | 0.216103i | ||||
\(17\) | 1.70949 | − | 1.15906i | 0.414612 | − | 0.281114i | −0.335994 | − | 0.941864i | \(-0.609072\pi\) |
0.750606 | + | 0.660750i | \(0.229762\pi\) | |||||||
\(18\) | 4.10496 | + | 1.11565i | 0.967547 | + | 0.262960i | ||||
\(19\) | −0.106239 | − | 0.200388i | −0.0243729 | − | 0.0459722i | 0.871027 | − | 0.491236i | \(-0.163455\pi\) |
−0.895399 | + | 0.445264i | \(0.853110\pi\) | |||||||
\(20\) | −0.00607117 | − | 0.0131226i | −0.00135755 | − | 0.00293431i | ||||
\(21\) | −0.0794024 | − | 2.66275i | −0.0173270 | − | 0.581060i | ||||
\(22\) | 0.964648 | − | 5.88409i | 0.205664 | − | 1.25449i | ||||
\(23\) | 2.98538 | + | 2.82791i | 0.622496 | + | 0.589659i | 0.932542 | − | 0.361062i | \(-0.117586\pi\) |
−0.310046 | + | 0.950722i | \(0.600344\pi\) | |||||||
\(24\) | −3.46428 | − | 3.44543i | −0.707143 | − | 0.703295i | ||||
\(25\) | 2.49686 | − | 1.89807i | 0.499372 | − | 0.379613i | ||||
\(26\) | −1.43814 | + | 1.89184i | −0.282042 | + | 0.371020i | ||||
\(27\) | 1.56579 | + | 4.95462i | 0.301337 | + | 0.953518i | ||||
\(28\) | 0.00763042 | − | 0.0143925i | 0.00144201 | − | 0.00271993i | ||||
\(29\) | −1.83130 | − | 0.0992904i | −0.340065 | − | 0.0184378i | −0.116684 | − | 0.993169i | \(-0.537226\pi\) |
−0.223381 | + | 0.974731i | \(0.571709\pi\) | |||||||
\(30\) | 1.79796 | − | 2.82987i | 0.328262 | − | 0.516662i | ||||
\(31\) | 5.88013 | + | 3.11745i | 1.05610 | + | 0.559910i | 0.903593 | − | 0.428392i | \(-0.140920\pi\) |
0.152509 | + | 0.988302i | \(0.451265\pi\) | |||||||
\(32\) | −0.0160288 | − | 0.0577305i | −0.00283352 | − | 0.0102054i | ||||
\(33\) | 6.68280 | − | 2.89636i | 1.16333 | − | 0.504192i | ||||
\(34\) | 1.77232 | + | 2.33145i | 0.303950 | + | 0.399840i | ||||
\(35\) | −2.02308 | − | 0.561707i | −0.341964 | − | 0.0949458i | ||||
\(36\) | −0.00666121 | + | 0.0310687i | −0.00111020 | + | 0.00517811i | ||||
\(37\) | 9.18142 | + | 1.50522i | 1.50942 | + | 0.247456i | 0.858942 | − | 0.512072i | \(-0.171122\pi\) |
0.650474 | + | 0.759528i | \(0.274570\pi\) | |||||||
\(38\) | 0.275569 | − | 0.165804i | 0.0447031 | − | 0.0268970i | ||||
\(39\) | −2.89387 | − | 0.227694i | −0.463390 | − | 0.0364603i | ||||
\(40\) | −3.40232 | + | 1.80380i | −0.537954 | + | 0.285205i | ||||
\(41\) | 0.553401 | + | 0.584218i | 0.0864267 | + | 0.0912395i | 0.767774 | − | 0.640721i | \(-0.221364\pi\) |
−0.681347 | + | 0.731960i | \(0.738606\pi\) | |||||||
\(42\) | 3.76402 | − | 0.316834i | 0.580801 | − | 0.0488885i | ||||
\(43\) | −1.76942 | − | 8.03857i | −0.269834 | − | 1.22587i | −0.895245 | − | 0.445574i | \(-0.853000\pi\) |
0.625411 | − | 0.780296i | \(-0.284931\pi\) | |||||||
\(44\) | 0.0442776 | + | 0.00481548i | 0.00667510 | + | 0.000725961i | ||||
\(45\) | 4.09536 | − | 0.0223458i | 0.610500 | − | 0.00333111i | ||||
\(46\) | −3.77478 | + | 4.44402i | −0.556561 | + | 0.655234i | ||||
\(47\) | 4.56389 | + | 1.53775i | 0.665712 | + | 0.224305i | 0.631813 | − | 0.775121i | \(-0.282311\pi\) |
0.0338991 | + | 0.999425i | \(0.489208\pi\) | |||||||
\(48\) | 4.63678 | − | 5.19686i | 0.669262 | − | 0.750101i | ||||
\(49\) | 1.71540 | + | 4.30533i | 0.245057 | + | 0.615047i | ||||
\(50\) | 2.87910 | + | 3.38953i | 0.407166 | + | 0.479352i | ||||
\(51\) | −1.22447 | + | 3.36125i | −0.171460 | + | 0.470670i | ||||
\(52\) | −0.0146922 | − | 0.00996154i | −0.00203744 | − | 0.00138142i | ||||
\(53\) | −6.54736 | − | 2.60871i | −0.899349 | − | 0.358333i | −0.125789 | − | 0.992057i | \(-0.540146\pi\) |
−0.773560 | + | 0.633724i | \(0.781526\pi\) | |||||||
\(54\) | −6.89492 | + | 2.59731i | −0.938280 | + | 0.353449i | ||||
\(55\) | −0.620663 | − | 5.70690i | −0.0836902 | − | 0.769519i | ||||
\(56\) | −3.93760 | − | 1.82173i | −0.526184 | − | 0.243439i | ||||
\(57\) | 0.352413 | + | 0.173584i | 0.0466782 | + | 0.0229918i | ||||
\(58\) | − | 2.60052i | − | 0.341465i | ||||||
\(59\) | 3.37265 | − | 6.90110i | 0.439082 | − | 0.898447i | ||||
\(60\) | 0.0218342 | + | 0.0122660i | 0.00281878 | + | 0.00158354i | ||||
\(61\) | 2.05744 | − | 0.111551i | 0.263428 | − | 0.0142826i | 0.0780480 | − | 0.996950i | \(-0.475131\pi\) |
0.185380 | + | 0.982667i | \(0.440648\pi\) | |||||||
\(62\) | −3.96251 | + | 8.56483i | −0.503240 | + | 1.08773i | ||||
\(63\) | 2.81232 | + | 3.65794i | 0.354319 | + | 0.460857i | ||||
\(64\) | −7.54065 | + | 2.54074i | −0.942582 | + | 0.317593i | ||||
\(65\) | −0.846835 | + | 2.12540i | −0.105037 | + | 0.263623i | ||||
\(66\) | 4.61390 | + | 9.23966i | 0.567932 | + | 1.13732i | ||||
\(67\) | −15.0835 | + | 2.47281i | −1.84274 | + | 0.302102i | −0.979309 | − | 0.202369i | \(-0.935136\pi\) |
−0.863429 | + | 0.504470i | \(0.831688\pi\) | |||||||
\(68\) | −0.0166728 | + | 0.0141620i | −0.00202187 | + | 0.00171739i | ||||
\(69\) | −7.05981 | − | 0.942269i | −0.849901 | − | 0.113436i | ||||
\(70\) | 0.640001 | − | 2.90755i | 0.0764947 | − | 0.347519i | ||||
\(71\) | 2.35554 | − | 6.99100i | 0.279552 | − | 0.829679i | −0.712254 | − | 0.701922i | \(-0.752326\pi\) |
0.991805 | − | 0.127758i | \(-0.0407779\pi\) | |||||||
\(72\) | 8.35853 | + | 1.32352i | 0.985062 | + | 0.155978i | ||||
\(73\) | 4.63613 | − | 7.70531i | 0.542618 | − | 0.901838i | −0.457303 | − | 0.889311i | \(-0.651185\pi\) |
0.999922 | − | 0.0125275i | \(-0.00398774\pi\) | |||||||
\(74\) | −1.42637 | + | 13.1153i | −0.165813 | + | 1.52462i | ||||
\(75\) | −1.58036 | + | 5.19744i | −0.182484 | + | 0.600149i | ||||
\(76\) | 0.00134812 | + | 0.00198832i | 0.000154640 | + | 0.000228077i | ||||
\(77\) | 4.69541 | − | 4.44773i | 0.535092 | − | 0.506866i | ||||
\(78\) | 0.100235 | − | 4.11483i | 0.0113493 | − | 0.465913i | ||||
\(79\) | −6.67513 | + | 3.08824i | −0.751010 | + | 0.347454i | −0.757769 | − | 0.652523i | \(-0.773711\pi\) |
0.00675869 | + | 0.999977i | \(0.497849\pi\) | |||||||
\(80\) | −2.83004 | − | 4.70357i | −0.316408 | − | 0.525875i | ||||
\(81\) | −7.22385 | − | 5.36806i | −0.802650 | − | 0.596451i | ||||
\(82\) | −0.784696 | + | 0.828394i | −0.0866552 | + | 0.0914808i | ||||
\(83\) | 4.39645 | − | 15.8346i | 0.482573 | − | 1.73807i | −0.174893 | − | 0.984587i | \(-0.555958\pi\) |
0.657466 | − | 0.753484i | \(-0.271628\pi\) | |||||||
\(84\) | 0.00388532 | + | 0.0279465i | 0.000423923 | + | 0.00304921i | ||||
\(85\) | 2.24461 | + | 1.70631i | 0.243462 | + | 0.185075i | ||||
\(86\) | 11.2458 | − | 3.12237i | 1.21266 | − | 0.336694i | ||||
\(87\) | 2.67184 | − | 1.71809i | 0.286452 | − | 0.184199i | ||||
\(88\) | 0.642203 | − | 11.8447i | 0.0684591 | − | 1.26265i | ||||
\(89\) | 0.138961 | − | 2.56299i | 0.0147299 | − | 0.271676i | −0.981886 | − | 0.189474i | \(-0.939322\pi\) |
0.996616 | − | 0.0822026i | \(-0.0261955\pi\) | |||||||
\(90\) | 0.346025 | + | 5.79679i | 0.0364742 | + | 0.611036i | ||||
\(91\) | −2.48368 | + | 0.689590i | −0.260360 | + | 0.0722886i | ||||
\(92\) | −0.0346730 | − | 0.0263577i | −0.00361491 | − | 0.00274798i | ||||
\(93\) | −11.4177 | + | 1.58737i | −1.18396 | + | 0.164602i | ||||
\(94\) | −1.82691 | + | 6.57995i | −0.188432 | + | 0.678670i | ||||
\(95\) | 0.212929 | − | 0.224787i | 0.0218461 | − | 0.0230626i | ||||
\(96\) | 0.0810605 | + | 0.0647950i | 0.00827321 | + | 0.00661312i | ||||
\(97\) | −3.19963 | − | 5.31783i | −0.324873 | − | 0.539944i | 0.650779 | − | 0.759267i | \(-0.274443\pi\) |
−0.975652 | + | 0.219324i | \(0.929615\pi\) | |||||||
\(98\) | −5.96412 | + | 2.75929i | −0.602467 | + | 0.278731i | ||||
\(99\) | −6.44480 | + | 10.8449i | −0.647727 | + | 1.08995i | ||||
\(100\) | −0.0241171 | + | 0.0228449i | −0.00241171 | + | 0.00228449i | ||||
\(101\) | −4.30191 | − | 6.34485i | −0.428056 | − | 0.631336i | 0.551101 | − | 0.834438i | \(-0.314208\pi\) |
−0.979157 | + | 0.203103i | \(0.934898\pi\) | |||||||
\(102\) | −4.85311 | − | 1.47566i | −0.480530 | − | 0.146112i | ||||
\(103\) | −2.14713 | + | 19.7426i | −0.211563 | + | 1.94529i | 0.0998101 | + | 0.995007i | \(0.468176\pi\) |
−0.311374 | + | 0.950288i | \(0.600789\pi\) | |||||||
\(104\) | −2.43735 | + | 4.05091i | −0.239002 | + | 0.397224i | ||||
\(105\) | 3.41013 | − | 1.26339i | 0.332795 | − | 0.123294i | ||||
\(106\) | 3.19098 | − | 9.47050i | 0.309936 | − | 0.919856i | ||||
\(107\) | −4.05568 | + | 18.4252i | −0.392078 | + | 1.78123i | 0.204704 | + | 0.978824i | \(0.434377\pi\) |
−0.596782 | + | 0.802404i | \(0.703554\pi\) | |||||||
\(108\) | −0.0221608 | − | 0.0503766i | −0.00213242 | − | 0.00484749i | ||||
\(109\) | −4.52406 | + | 3.84277i | −0.433326 | + | 0.368070i | −0.837340 | − | 0.546682i | \(-0.815891\pi\) |
0.404014 | + | 0.914753i | \(0.367615\pi\) | |||||||
\(110\) | 8.03261 | − | 1.31688i | 0.765879 | − | 0.125560i | ||||
\(111\) | −14.4174 | + | 7.19943i | −1.36844 | + | 0.683340i | ||||
\(112\) | 2.28912 | − | 5.74526i | 0.216301 | − | 0.542876i | ||||
\(113\) | 9.63187 | − | 3.24535i | 0.906090 | − | 0.305297i | 0.172596 | − | 0.984993i | \(-0.444785\pi\) |
0.733494 | + | 0.679696i | \(0.237888\pi\) | |||||||
\(114\) | −0.218720 | + | 0.512298i | −0.0204850 | + | 0.0479811i | ||||
\(115\) | −2.35710 | + | 5.09479i | −0.219801 | + | 0.475091i | ||||
\(116\) | 0.0193964 | − | 0.00105164i | 0.00180091 | − | 9.76425e-5i | ||||
\(117\) | 4.29391 | − | 2.61558i | 0.396972 | − | 0.241810i | ||||
\(118\) | 10.0300 | + | 4.24547i | 0.923336 | + | 0.390828i | ||||
\(119\) | 3.17660i | 0.291198i | ||||||||
\(120\) | 2.94723 | − | 5.98350i | 0.269044 | − | 0.546216i | ||||
\(121\) | 6.06525 | + | 2.80608i | 0.551386 | + | 0.255098i | ||||
\(122\) | 0.315884 | + | 2.90451i | 0.0285988 | + | 0.262962i | ||||
\(123\) | −1.36954 | − | 0.258920i | −0.123488 | − | 0.0233461i | ||||
\(124\) | −0.0654847 | − | 0.0260915i | −0.00588070 | − | 0.00234308i | ||||
\(125\) | 9.19340 | + | 6.23328i | 0.822283 | + | 0.557522i | ||||
\(126\) | −4.96329 | + | 4.26269i | −0.442165 | + | 0.379751i | ||||
\(127\) | −3.92567 | − | 4.62166i | −0.348347 | − | 0.410106i | 0.559887 | − | 0.828569i | \(-0.310845\pi\) |
−0.908234 | + | 0.418463i | \(0.862569\pi\) | |||||||
\(128\) | −4.22059 | − | 10.5929i | −0.373051 | − | 0.936288i | ||||
\(129\) | 10.6378 | + | 9.49134i | 0.936606 | + | 0.835666i | ||||
\(130\) | −3.07430 | − | 1.03585i | −0.269634 | − | 0.0908503i | ||||
\(131\) | 4.25152 | − | 5.00528i | 0.371457 | − | 0.437313i | −0.544395 | − | 0.838829i | \(-0.683241\pi\) |
0.915852 | + | 0.401516i | \(0.131517\pi\) | |||||||
\(132\) | −0.0670497 | + | 0.0381500i | −0.00583593 | + | 0.00332054i | ||||
\(133\) | 0.346792 | + | 0.0377159i | 0.0300707 | + | 0.00327038i | ||||
\(134\) | −4.65909 | − | 21.1665i | −0.402484 | − | 1.82850i | ||||
\(135\) | −5.72718 | + | 4.18531i | −0.492917 | + | 0.360214i | ||||
\(136\) | 4.00667 | + | 4.22979i | 0.343569 | + | 0.362702i | ||||
\(137\) | −14.1330 | + | 7.49284i | −1.20746 | + | 0.640156i | −0.945720 | − | 0.324981i | \(-0.894642\pi\) |
−0.261742 | + | 0.965138i | \(0.584297\pi\) | |||||||
\(138\) | 0.792177 | − | 10.0681i | 0.0674346 | − | 0.857056i | ||||
\(139\) | 0.477392 | − | 0.287237i | 0.0404918 | − | 0.0243631i | −0.495164 | − | 0.868800i | \(-0.664892\pi\) |
0.535656 | + | 0.844436i | \(0.320064\pi\) | |||||||
\(140\) | 0.0219453 | + | 0.00359775i | 0.00185472 | + | 0.000304065i | ||||
\(141\) | −7.96741 | + | 2.47018i | −0.670977 | + | 0.208027i | ||||
\(142\) | 10.0792 | + | 2.79848i | 0.845828 | + | 0.234843i | ||||
\(143\) | −4.26496 | − | 5.61047i | −0.356654 | − | 0.469171i | ||||
\(144\) | −1.23881 | + | 11.9994i | −0.103234 | + | 0.999953i | ||||
\(145\) | −0.669799 | − | 2.41240i | −0.0556238 | − | 0.200339i | ||||
\(146\) | 11.2656 | + | 5.97267i | 0.932351 | + | 0.494301i | ||||
\(147\) | −6.77531 | − | 4.30471i | −0.558818 | − | 0.355046i | ||||
\(148\) | −0.0983994 | − | 0.00533506i | −0.00808838 | − | 0.000438539i | ||||
\(149\) | 6.39539 | − | 12.0630i | 0.523931 | − | 0.988238i | −0.470455 | − | 0.882424i | \(-0.655910\pi\) |
0.994386 | − | 0.105814i | \(-0.0337449\pi\) | |||||||
\(150\) | −7.48024 | − | 1.83860i | −0.610759 | − | 0.150121i | ||||
\(151\) | 11.8943 | − | 15.6467i | 0.967944 | − | 1.27331i | 0.00602220 | − | 0.999982i | \(-0.498083\pi\) |
0.961921 | − | 0.273326i | \(-0.0881238\pi\) | |||||||
\(152\) | 0.509342 | − | 0.387191i | 0.0413131 | − | 0.0314054i | ||||
\(153\) | −1.69019 | − | 5.96115i | −0.136644 | − | 0.481930i | ||||
\(154\) | 6.65787 | + | 6.30667i | 0.536507 | + | 0.508206i | ||||
\(155\) | −1.46988 | + | 8.96586i | −0.118063 | + | 0.720155i | ||||
\(156\) | 0.0307317 | 0.000916410i | 0.00246050 | 7.33715e-5i | ||||||
\(157\) | 4.86979 | + | 10.5259i | 0.388652 | + | 0.840057i | 0.998856 | + | 0.0478133i | \(0.0152253\pi\) |
−0.610204 | + | 0.792244i | \(0.708913\pi\) | |||||||
\(158\) | −4.88499 | − | 9.21406i | −0.388629 | − | 0.733032i | ||||
\(159\) | 11.8384 | − | 2.97841i | 0.938850 | − | 0.236203i | ||||
\(160\) | 0.0676979 | − | 0.0459003i | 0.00535199 | − | 0.00362874i | ||||
\(161\) | −6.17668 | + | 1.35959i | −0.486791 | + | 0.107151i | ||||
\(162\) | 7.04594 | − | 10.6401i | 0.553582 | − | 0.835968i | ||||
\(163\) | −2.36985 | − | 1.42589i | −0.185621 | − | 0.111684i | 0.419710 | − | 0.907658i | \(-0.362132\pi\) |
−0.605331 | + | 0.795974i | \(0.706959\pi\) | |||||||
\(164\) | −0.00649605 | − | 0.00551779i | −0.000507256 | − | 0.000430867i | ||||
\(165\) | 6.65994 | + | 7.38290i | 0.518475 | + | 0.574758i | ||||
\(166\) | 22.7573 | + | 5.00925i | 1.76631 | + | 0.388794i | ||||
\(167\) | 12.5253 | − | 4.99052i | 0.969234 | − | 0.386178i | 0.168834 | − | 0.985644i | \(-0.446000\pi\) |
0.800400 | + | 0.599466i | \(0.204620\pi\) | |||||||
\(168\) | 7.37613 | − | 1.43623i | 0.569081 | − | 0.110808i | ||||
\(169\) | −1.64876 | − | 10.0570i | −0.126827 | − | 0.773613i | ||||
\(170\) | −2.24360 | + | 3.30907i | −0.172076 | + | 0.253794i | ||||
\(171\) | −0.670851 | + | 0.113743i | −0.0513013 | + | 0.00869812i | ||||
\(172\) | 0.0278365 | + | 0.0826158i | 0.00212251 | + | 0.00629939i | ||||
\(173\) | −8.97673 | + | 0.976278i | −0.682488 | + | 0.0742251i | −0.442794 | − | 0.896623i | \(-0.646013\pi\) |
−0.239694 | + | 0.970848i | \(0.577047\pi\) | |||||||
\(174\) | 2.63771 | + | 3.65110i | 0.199964 | + | 0.276789i | ||||
\(175\) | 0.261158 | + | 4.81677i | 0.0197417 | + | 0.364114i | ||||
\(176\) | 16.9090 | 1.27457 | ||||||||
\(177\) | 2.26464 | + | 13.1100i | 0.170221 | + | 0.985406i | ||||
\(178\) | 3.63954 | 0.272795 | ||||||||
\(179\) | −0.0890232 | − | 1.64194i | −0.00665391 | − | 0.122724i | −0.999973 | − | 0.00732545i | \(-0.997668\pi\) |
0.993319 | − | 0.115399i | \(-0.0368145\pi\) | |||||||
\(180\) | −0.0430964 | + | 0.00492509i | −0.00321222 | + | 0.000367095i | ||||
\(181\) | 0.271232 | − | 0.0294983i | 0.0201605 | − | 0.00219259i | −0.0980332 | − | 0.995183i | \(-0.531255\pi\) |
0.118194 | + | 0.992991i | \(0.462290\pi\) | |||||||
\(182\) | −1.16704 | − | 3.46364i | −0.0865064 | − | 0.256742i | ||||
\(183\) | −2.77547 | + | 2.24348i | −0.205169 | + | 0.165843i | ||||
\(184\) | −6.50968 | + | 9.60107i | −0.479900 | + | 0.707800i | ||||
\(185\) | 2.05483 | + | 12.5339i | 0.151074 | + | 0.921512i | ||||
\(186\) | −3.12401 | − | 16.0441i | −0.229063 | − | 1.17641i | ||||
\(187\) | −8.06828 | + | 3.21470i | −0.590011 | + | 0.235082i | ||||
\(188\) | −0.0498164 | − | 0.0109654i | −0.00363324 | − | 0.000799736i | ||||
\(189\) | −7.65872 | − | 2.28317i | −0.557090 | − | 0.166076i | ||||
\(190\) | 0.334615 | + | 0.284225i | 0.0242755 | + | 0.0206198i | ||||
\(191\) | −15.7307 | − | 9.46485i | −1.13823 | − | 0.684852i | −0.183708 | − | 0.982981i | \(-0.558810\pi\) |
−0.954526 | + | 0.298129i | \(0.903638\pi\) | |||||||
\(192\) | 8.00992 | − | 11.2157i | 0.578066 | − | 0.809422i | ||||
\(193\) | 17.4585 | − | 3.84290i | 1.25669 | − | 0.276618i | 0.463774 | − | 0.885953i | \(-0.346495\pi\) |
0.792912 | + | 0.609336i | \(0.208564\pi\) | |||||||
\(194\) | 7.28375 | − | 4.93851i | 0.522943 | − | 0.354564i | ||||
\(195\) | −0.966848 | − | 3.84298i | −0.0692374 | − | 0.275202i | ||||
\(196\) | −0.0229925 | − | 0.0433685i | −0.00164232 | − | 0.00309775i | ||||
\(197\) | −1.56846 | − | 3.39017i | −0.111748 | − | 0.241540i | 0.843630 | − | 0.536925i | \(-0.180414\pi\) |
−0.955378 | + | 0.295385i | \(0.904552\pi\) | |||||||
\(198\) | −15.8497 | − | 8.29250i | −1.12639 | − | 0.589322i | ||||
\(199\) | −2.44351 | + | 14.9048i | −0.173216 | + | 1.05657i | 0.746904 | + | 0.664932i | \(0.231540\pi\) |
−0.920119 | + | 0.391638i | \(0.871909\pi\) | |||||||
\(200\) | 6.42319 | + | 6.08436i | 0.454188 | + | 0.430230i | ||||
\(201\) | 18.6689 | − | 18.7710i | 1.31680 | − | 1.32400i | ||||
\(202\) | 8.65326 | − | 6.57804i | 0.608841 | − | 0.462829i | ||||
\(203\) | 1.70703 | − | 2.24556i | 0.119810 | − | 0.157607i | ||||
\(204\) | 0.00904387 | − | 0.0367945i | 0.000633197 | − | 0.00257613i | ||||
\(205\) | −0.514568 | + | 0.970578i | −0.0359390 | + | 0.0677881i | ||||
\(206\) | −28.1178 | − | 1.52450i | −1.95906 | − | 0.106217i | ||||
\(207\) | 10.8676 | − | 5.83785i | 0.755354 | − | 0.405758i | ||||
\(208\) | −5.95405 | − | 3.15664i | −0.412839 | − | 0.218873i | ||||
\(209\) | 0.255156 | + | 0.918989i | 0.0176495 | + | 0.0635678i | ||||
\(210\) | 2.05059 | + | 4.73133i | 0.141504 | + | 0.326493i | ||||
\(211\) | −15.4245 | − | 20.2905i | −1.06186 | − | 1.39686i | −0.912980 | − | 0.408004i | \(-0.866225\pi\) |
−0.148884 | − | 0.988855i | \(-0.547568\pi\) | |||||||
\(212\) | 0.0719277 | + | 0.0199706i | 0.00494002 | + | 0.00137159i | ||||
\(213\) | 3.78384 | + | 12.2045i | 0.259264 | + | 0.836241i | ||||
\(214\) | −26.3990 | − | 4.32790i | −1.80460 | − | 0.295849i | ||||
\(215\) | 9.62805 | − | 5.79300i | 0.656627 | − | 0.395080i | ||||
\(216\) | −13.0777 | + | 6.61987i | −0.889828 | + | 0.450425i | ||||
\(217\) | −9.04377 | + | 4.79470i | −0.613931 | + | 0.325486i | ||||
\(218\) | −5.78817 | − | 6.11050i | −0.392024 | − | 0.413855i | ||||
\(219\) | 1.30644 | + | 15.5206i | 0.0882808 | + | 1.04879i | ||||
\(220\) | 0.0130705 | + | 0.0593800i | 0.000881215 | + | 0.00400340i | ||||
\(221\) | 3.44116 | + | 0.374248i | 0.231477 | + | 0.0251747i | ||||
\(222\) | −11.3003 | − | 19.8605i | −0.758424 | − | 1.33295i | ||||
\(223\) | 10.5009 | − | 12.3626i | 0.703192 | − | 0.827861i | −0.288367 | − | 0.957520i | \(-0.593112\pi\) |
0.991559 | + | 0.129659i | \(0.0413881\pi\) | |||||||
\(224\) | 0.0873260 | + | 0.0294235i | 0.00583471 | + | 0.00196594i | ||||
\(225\) | −3.05297 | − | 8.90012i | −0.203532 | − | 0.593341i | ||||
\(226\) | 5.33442 | + | 13.3884i | 0.354840 | + | 0.890581i | ||||
\(227\) | 18.9413 | + | 22.2995i | 1.25718 | + | 1.48007i | 0.810912 | + | 0.585168i | \(0.198971\pi\) |
0.446268 | + | 0.894899i | \(0.352753\pi\) | |||||||
\(228\) | −0.00390951 | − | 0.00142419i | −0.000258914 | − | 9.43192e-5i | ||||
\(229\) | −21.0383 | − | 14.2643i | −1.39025 | − | 0.942613i | −0.999758 | − | 0.0220063i | \(-0.992995\pi\) |
−0.390492 | − | 0.920606i | \(-0.627695\pi\) | |||||||
\(230\) | −7.39452 | − | 2.94625i | −0.487580 | − | 0.194270i | ||||
\(231\) | −2.08097 | + | 11.0071i | −0.136918 | + | 0.724217i | ||||
\(232\) | −0.559353 | − | 5.14316i | −0.0367233 | − | 0.337665i | ||||
\(233\) | 0.714192 | + | 0.330421i | 0.0467883 | + | 0.0216466i | 0.443144 | − | 0.896451i | \(-0.353863\pi\) |
−0.396355 | + | 0.918097i | \(0.629725\pi\) | |||||||
\(234\) | 4.03296 | + | 5.87885i | 0.263643 | + | 0.384312i | ||||
\(235\) | 6.57451i | 0.428873i | ||||||||
\(236\) | −0.0276095 | + | 0.0765273i | −0.00179722 | + | 0.00498150i | ||||
\(237\) | 6.23940 | − | 11.1065i | 0.405293 | − | 0.721442i | ||||
\(238\) | −4.49766 | + | 0.243856i | −0.291540 | + | 0.0158068i | ||||
\(239\) | −4.61346 | + | 9.97183i | −0.298420 | + | 0.645024i | −0.997549 | − | 0.0699715i | \(-0.977709\pi\) |
0.699129 | + | 0.714995i | \(0.253571\pi\) | |||||||
\(240\) | 8.74419 | + | 3.73324i | 0.564435 | + | 0.240980i | ||||
\(241\) | −9.93445 | + | 3.34731i | −0.639934 | + | 0.215619i | −0.620518 | − | 0.784192i | \(-0.713077\pi\) |
−0.0194167 | + | 0.999811i | \(0.506181\pi\) | |||||||
\(242\) | −3.50745 | + | 8.80304i | −0.225467 | + | 0.565881i | ||||
\(243\) | 15.5870 | + | 0.209532i | 0.999910 | + | 0.0134415i | ||||
\(244\) | −0.0215360 | + | 0.00353065i | −0.00137870 | + | 0.000226027i | ||||
\(245\) | −4.82198 | + | 4.09583i | −0.308065 | + | 0.261673i | ||||
\(246\) | 0.261464 | − | 1.95898i | 0.0166703 | − | 0.124900i | ||||
\(247\) | 0.0817140 | − | 0.371230i | 0.00519934 | − | 0.0236208i | ||||
\(248\) | −5.99461 | + | 17.7914i | −0.380658 | + | 1.12975i | ||||
\(249\) | 9.88849 | + | 26.6909i | 0.626658 | + | 1.69147i | ||||
\(250\) | −8.11979 | + | 13.4952i | −0.513541 | + | 0.853511i | ||||
\(251\) | −1.24147 | + | 11.4152i | −0.0783611 | + | 0.720519i | 0.887385 | + | 0.461029i | \(0.152520\pi\) |
−0.965746 | + | 0.259489i | \(0.916446\pi\) | |||||||
\(252\) | −0.0338012 | − | 0.0352957i | −0.00212927 | − | 0.00222342i | ||||
\(253\) | −9.70400 | − | 14.3123i | −0.610085 | − | 0.899809i | ||||
\(254\) | 6.24233 | − | 5.91305i | 0.391678 | − | 0.371017i | ||||
\(255\) | −4.88212 | − | 0.118925i | −0.305730 | − | 0.00744739i | ||||
\(256\) | 0.230697 | − | 0.106732i | 0.0144186 | − | 0.00667075i | ||||
\(257\) | 2.81365 | + | 4.67632i | 0.175511 | + | 0.291701i | 0.932108 | − | 0.362180i | \(-0.117967\pi\) |
−0.756598 | + | 0.653881i | \(0.773140\pi\) | |||||||
\(258\) | −12.6219 | + | 15.7904i | −0.785806 | + | 0.983067i | ||||
\(259\) | −9.84081 | + | 10.3888i | −0.611478 | + | 0.645529i | ||||
\(260\) | 0.00648285 | − | 0.0233491i | 0.000402049 | − | 0.00144805i | ||||
\(261\) | −2.00857 | + | 5.12225i | −0.124328 | + | 0.317059i | ||||
\(262\) | 7.41321 | + | 5.63538i | 0.457990 | + | 0.348155i | ||||
\(263\) | −8.94771 | + | 2.48432i | −0.551740 | + | 0.153190i | −0.532199 | − | 0.846619i | \(-0.678634\pi\) |
−0.0195406 | + | 0.999809i | \(0.506220\pi\) | |||||||
\(264\) | 11.1125 | + | 17.2813i | 0.683927 | + | 1.06359i | ||||
\(265\) | 0.520892 | − | 9.60729i | 0.0319982 | − | 0.590171i | ||||
\(266\) | −0.0267790 | + | 0.493909i | −0.00164192 | + | 0.0302835i | ||||
\(267\) | 2.40455 | + | 3.73936i | 0.147156 | + | 0.228845i | ||||
\(268\) | 0.155989 | − | 0.0433103i | 0.00952857 | − | 0.00264560i | ||||
\(269\) | 9.63426 | + | 7.32377i | 0.587411 | + | 0.446538i | 0.856188 | − | 0.516664i | \(-0.172826\pi\) |
−0.268777 | + | 0.963202i | \(0.586619\pi\) | |||||||
\(270\) | −6.36552 | − | 7.78767i | −0.387393 | − | 0.473942i | ||||
\(271\) | 7.46734 | − | 26.8949i | 0.453608 | − | 1.63375i | −0.284218 | − | 0.958760i | \(-0.591734\pi\) |
0.737827 | − | 0.674990i | \(-0.235852\pi\) | |||||||
\(272\) | −5.71136 | + | 6.02941i | −0.346302 | + | 0.365587i | ||||
\(273\) | 2.78761 | − | 3.48738i | 0.168714 | − | 0.211066i | ||||
\(274\) | −11.6939 | − | 19.4353i | −0.706451 | − | 1.17413i | ||||
\(275\) | −11.9699 | + | 5.53786i | −0.721812 | + | 0.333946i | ||||
\(276\) | 0.0754152 | + | 0.00183707i | 0.00453946 | + | 0.000110578i | ||||
\(277\) | −15.3957 | + | 14.5836i | −0.925041 | + | 0.876245i | −0.992595 | − | 0.121470i | \(-0.961239\pi\) |
0.0675542 | + | 0.997716i | \(0.478480\pi\) | |||||||
\(278\) | 0.443339 | + | 0.653876i | 0.0265897 | + | 0.0392169i | ||||
\(279\) | 14.4202 | − | 13.8096i | 0.863317 | − | 0.826761i | ||||
\(280\) | 0.640365 | − | 5.88806i | 0.0382691 | − | 0.351879i | ||||
\(281\) | −5.54443 | + | 9.21491i | −0.330753 | + | 0.549715i | −0.976954 | − | 0.213452i | \(-0.931529\pi\) |
0.646201 | + | 0.763167i | \(0.276357\pi\) | |||||||
\(282\) | −4.10909 | − | 11.0912i | −0.244693 | − | 0.660473i | ||||
\(283\) | −2.52813 | + | 7.50323i | −0.150282 | + | 0.446021i | −0.996180 | − | 0.0873238i | \(-0.972169\pi\) |
0.845898 | + | 0.533345i | \(0.179065\pi\) | |||||||
\(284\) | −0.0167969 | + | 0.0763092i | −0.000996714 | + | 0.00452812i | ||||
\(285\) | −0.0709488 | + | 0.531573i | −0.00420264 | + | 0.0314877i | ||||
\(286\) | 7.61630 | − | 6.46935i | 0.450362 | − | 0.382541i | ||||
\(287\) | −1.22136 | + | 0.200232i | −0.0720948 | + | 0.0118193i | ||||
\(288\) | −0.179530 | − | 0.00875166i | −0.0105789 | − | 0.000515697i | ||||
\(289\) | −4.71342 | + | 11.8298i | −0.277260 | + | 0.695870i | ||||
\(290\) | 3.36423 | − | 1.13354i | 0.197555 | − | 0.0665639i | ||||
\(291\) | 9.88614 | + | 4.22078i | 0.579536 | + | 0.247427i | ||||
\(292\) | −0.0399924 | + | 0.0864421i | −0.00234038 | + | 0.00505864i | ||||
\(293\) | −2.52197 | + | 0.136737i | −0.147335 | + | 0.00798827i | −0.127659 | − | 0.991818i | \(-0.540746\pi\) |
−0.0196761 | + | 0.999806i | \(0.506264\pi\) | |||||||
\(294\) | 5.57480 | − | 9.92345i | 0.325129 | − | 0.578747i | ||||
\(295\) | 10.3979 | + | 1.35500i | 0.605390 | + | 0.0788909i | ||||
\(296\) | 26.2455i | 1.52549i | ||||||||
\(297\) | −1.95153 | − | 21.7630i | −0.113239 | − | 1.26282i | ||||
\(298\) | 17.5706 | + | 8.12903i | 1.01784 | + | 0.470902i | ||||
\(299\) | 0.745121 | + | 6.85127i | 0.0430914 | + | 0.396219i | ||||
\(300\) | 0.0106885 | − | 0.0565362i | 0.000617101 | − | 0.00326412i | ||||
\(301\) | 11.7604 | + | 4.68575i | 0.677856 | + | 0.270082i | ||||
\(302\) | 23.0668 | + | 15.6397i | 1.32734 | + | 0.899962i | ||||
\(303\) | 12.4754 | + | 4.54466i | 0.716695 | + | 0.261084i | ||||
\(304\) | 0.590425 | + | 0.695102i | 0.0338632 | + | 0.0398668i | ||||
\(305\) | 1.04113 | + | 2.61304i | 0.0596149 | + | 0.149622i | ||||
\(306\) | 8.31049 | − | 2.85071i | 0.475079 | − | 0.162965i | ||||
\(307\) | −12.3454 | − | 4.15965i | −0.704589 | − | 0.237404i | −0.0558773 | − | 0.998438i | \(-0.517796\pi\) |
−0.648712 | + | 0.761034i | \(0.724692\pi\) | |||||||
\(308\) | −0.0443470 | + | 0.0522093i | −0.00252690 | + | 0.00297490i | ||||
\(309\) | −17.0104 | − | 29.8962i | −0.967688 | − | 1.70074i | ||||
\(310\) | −12.8074 | − | 1.39288i | −0.727409 | − | 0.0791105i | ||||
\(311\) | −5.57354 | − | 25.3209i | −0.316047 | − | 1.43581i | −0.820139 | − | 0.572165i | \(-0.806104\pi\) |
0.504092 | − | 0.863650i | \(-0.331827\pi\) | |||||||
\(312\) | −0.686832 | − | 8.15965i | −0.0388842 | − | 0.461949i | ||||
\(313\) | 8.46202 | + | 8.93325i | 0.478302 | + | 0.504937i | 0.919834 | − | 0.392309i | \(-0.128323\pi\) |
−0.441532 | + | 0.897245i | \(0.645565\pi\) | |||||||
\(314\) | −14.5295 | + | 7.70305i | −0.819947 | + | 0.434708i | ||||
\(315\) | −3.50633 | + | 5.23270i | −0.197559 | + | 0.294829i | ||||
\(316\) | 0.0667492 | − | 0.0401617i | 0.00375494 | − | 0.00225927i | ||||
\(317\) | −13.1913 | − | 2.16260i | −0.740897 | − | 0.121464i | −0.220498 | − | 0.975387i | \(-0.570768\pi\) |
−0.520398 | + | 0.853924i | \(0.674217\pi\) | |||||||
\(318\) | 5.12585 | + | 16.5331i | 0.287443 | + | 0.927131i | ||||
\(319\) | 7.43103 | + | 2.06321i | 0.416058 | + | 0.115518i | ||||
\(320\) | −6.57381 | − | 8.64769i | −0.367487 | − | 0.483421i | ||||
\(321\) | −12.9946 | − | 29.9824i | −0.725285 | − | 1.67346i | ||||
\(322\) | −2.39917 | − | 8.64103i | −0.133700 | − | 0.481546i | ||||
\(323\) | −0.413877 | − | 0.219424i | −0.0230287 | − | 0.0122091i | ||||
\(324\) | 0.0822107 | + | 0.0482505i | 0.00456726 | + | 0.00268058i | ||||
\(325\) | 5.24870 | + | 0.284576i | 0.291145 | + | 0.0157854i | ||||
\(326\) | 1.83695 | − | 3.46486i | 0.101739 | − | 0.191901i | ||||
\(327\) | 2.45400 | − | 9.98397i | 0.135707 | − | 0.552115i | ||||
\(328\) | −1.37375 | + | 1.80714i | −0.0758526 | + | 0.0997824i | ||||
\(329\) | −5.89675 | + | 4.48259i | −0.325098 | + | 0.247133i | ||||
\(330\) | −9.94199 | + | 9.99639i | −0.547289 | + | 0.550283i | ||||
\(331\) | 16.3883 | + | 15.5238i | 0.900782 | + | 0.853266i | 0.989756 | − | 0.142768i | \(-0.0456002\pi\) |
−0.0889742 | + | 0.996034i | \(0.528359\pi\) | |||||||
\(332\) | −0.0281594 | + | 0.171765i | −0.00154545 | + | 0.00942682i | ||||
\(333\) | 12.9395 | − | 24.7315i | 0.709077 | − | 1.35528i | ||||
\(334\) | 8.02747 | + | 17.3511i | 0.439244 | + | 0.949410i | ||||
\(335\) | −9.77377 | − | 18.4353i | −0.533998 | − | 1.00723i | ||||
\(336\) | 2.61353 | + | 10.3881i | 0.142580 | + | 0.566720i | ||||
\(337\) | −8.15621 | + | 5.53004i | −0.444297 | + | 0.301241i | −0.762745 | − | 0.646700i | \(-0.776149\pi\) |
0.318448 | + | 0.947940i | \(0.396838\pi\) | |||||||
\(338\) | 14.1128 | − | 3.10647i | 0.767637 | − | 0.168970i | ||||
\(339\) | −10.2313 | + | 14.3261i | −0.555687 | + | 0.778086i | ||||
\(340\) | −0.0255885 | − | 0.0153961i | −0.00138773 | − | 0.000834972i | ||||
\(341\) | −21.3304 | − | 18.1182i | −1.15510 | − | 0.981154i | ||||
\(342\) | −0.212544 | − | 0.941109i | −0.0114931 | − | 0.0508894i | ||||
\(343\) | −17.4758 | − | 3.84670i | −0.943602 | − | 0.207702i | ||||
\(344\) | 21.5697 | − | 8.59414i | 1.16296 | − | 0.463365i | ||||
\(345\) | −1.85831 | − | 9.54385i | −0.100048 | − | 0.513823i | ||||
\(346\) | −2.07140 | − | 12.6350i | −0.111359 | − | 0.679260i | ||||
\(347\) | 17.6043 | − | 25.9644i | 0.945047 | − | 1.39384i | 0.0260130 | − | 0.999662i | \(-0.491719\pi\) |
0.919034 | − | 0.394178i | \(-0.128971\pi\) | |||||||
\(348\) | −0.0261657 | + | 0.0211503i | −0.00140263 | + | 0.00113378i | ||||
\(349\) | 0.0370093 | + | 0.109840i | 0.00198106 | + | 0.00587958i | 0.948639 | − | 0.316360i | \(-0.102461\pi\) |
−0.946658 | + | 0.322240i | \(0.895564\pi\) | |||||||
\(350\) | −6.79989 | + | 0.739533i | −0.363470 | + | 0.0395297i | ||||
\(351\) | −3.37562 | + | 8.02758i | −0.180177 | + | 0.428480i | ||||
\(352\) | 0.0136401 | + | 0.251577i | 0.000727020 | + | 0.0134091i | ||||
\(353\) | 8.01172 | 0.426421 | 0.213210 | − | 0.977006i | \(-0.431608\pi\) | ||||
0.213210 | + | 0.977006i | \(0.431608\pi\) | |||||||
\(354\) | −18.3882 | + | 4.21285i | −0.977323 | + | 0.223911i | ||||
\(355\) | 10.0709 | 0.534506 | ||||||||
\(356\) | 0.00147182 | + | 0.0271461i | 7.80063e−5 | + | 0.00143874i | ||||
\(357\) | −3.22203 | − | 4.45991i | −0.170528 | − | 0.236044i | ||||
\(358\) | 2.31794 | − | 0.252091i | 0.122507 | − | 0.0133234i | ||||
\(359\) | 1.78826 | + | 5.30735i | 0.0943805 | + | 0.280111i | 0.984437 | − | 0.175739i | \(-0.0562316\pi\) |
−0.890056 | + | 0.455851i | \(0.849335\pi\) | |||||||
\(360\) | 1.93120 | + | 11.3902i | 0.101783 | + | 0.600314i | ||||
\(361\) | 10.6337 | − | 15.6835i | 0.559668 | − | 0.825448i | ||||
\(362\) | 0.0625874 | + | 0.381766i | 0.00328952 | + | 0.0200652i | ||||
\(363\) | −11.3618 | + | 2.21229i | −0.596338 | + | 0.116115i | ||||
\(364\) | 0.0253622 | − | 0.0101052i | 0.00132934 | − | 0.000529657i | ||||
\(365\) | 11.9890 | + | 2.63899i | 0.627535 | + | 0.138131i | ||||
\(366\) | −3.38955 | − | 3.75750i | −0.177175 | − | 0.196408i | ||||
\(367\) | 7.41754 | + | 6.30052i | 0.387193 | + | 0.328884i | 0.819749 | − | 0.572722i | \(-0.194113\pi\) |
−0.432557 | + | 0.901607i | \(0.642389\pi\) | |||||||
\(368\) | −14.1683 | − | 8.52476i | −0.738572 | − | 0.444384i | ||||
\(369\) | 2.18545 | − | 1.02561i | 0.113770 | − | 0.0533911i | ||||
\(370\) | −17.5887 | + | 3.87157i | −0.914393 | + | 0.201273i | ||||
\(371\) | 8.97204 | − | 6.08320i | 0.465805 | − | 0.315824i | ||||
\(372\) | 0.118405 | − | 0.0297891i | 0.00613899 | − | 0.00154449i | ||||
\(373\) | 6.21553 | + | 11.7237i | 0.321828 | + | 0.607031i | 0.990656 | − | 0.136386i | \(-0.0435486\pi\) |
−0.668828 | + | 0.743417i | \(0.733204\pi\) | |||||||
\(374\) | −5.17098 | − | 11.1769i | −0.267385 | − | 0.577943i | ||||
\(375\) | −19.2299 | + | 0.573429i | −0.993027 | + | 0.0296117i | ||||
\(376\) | −2.19787 | + | 13.4064i | −0.113347 | + | 0.691383i | ||||
\(377\) | −2.23146 | − | 2.11375i | −0.114926 | − | 0.108864i | ||||
\(378\) | 2.64475 | − | 11.0191i | 0.136031 | − | 0.566759i | ||||
\(379\) | 16.0557 | − | 12.2052i | 0.824725 | − | 0.626940i | −0.105298 | − | 0.994441i | \(-0.533580\pi\) |
0.930023 | + | 0.367501i | \(0.119787\pi\) | |||||||
\(380\) | −0.00198462 | + | 0.00261072i | −0.000101809 | + | 0.000133927i | ||||
\(381\) | 10.1994 | + | 2.50694i | 0.522530 | + | 0.128435i | ||||
\(382\) | 12.1934 | − | 22.9993i | 0.623871 | − | 1.17674i | ||||
\(383\) | 23.8407 | + | 1.29260i | 1.21820 | + | 0.0660489i | 0.652001 | − | 0.758219i | \(-0.273930\pi\) |
0.566201 | + | 0.824267i | \(0.308413\pi\) | |||||||
\(384\) | 16.6701 | + | 10.5914i | 0.850691 | + | 0.540488i | ||||
\(385\) | 7.80062 | + | 4.13563i | 0.397556 | + | 0.210771i | ||||
\(386\) | 6.78128 | + | 24.4240i | 0.345158 | + | 1.24315i | ||||
\(387\) | −24.5625 | − | 2.53580i | −1.24858 | − | 0.128902i | ||||
\(388\) | 0.0397802 | + | 0.0523300i | 0.00201953 | + | 0.00265665i | ||||
\(389\) | −2.27244 | − | 0.630940i | −0.115217 | − | 0.0319900i | 0.209441 | − | 0.977821i | \(-0.432836\pi\) |
−0.324658 | + | 0.945831i | \(0.605249\pi\) | |||||||
\(390\) | 5.36696 | − | 1.66395i | 0.271767 | − | 0.0842572i | ||||
\(391\) | 8.38121 | + | 1.37403i | 0.423856 | + | 0.0694877i | ||||
\(392\) | −11.2020 | + | 6.74002i | −0.565787 | + | 0.340423i | ||||
\(393\) | −0.892226 | + | 11.3397i | −0.0450069 | + | 0.572012i | ||||
\(394\) | 4.67965 | − | 2.48099i | 0.235758 | − | 0.124991i | ||||
\(395\) | −6.90482 | − | 7.28933i | −0.347419 | − | 0.366766i | ||||
\(396\) | 0.0554415 | − | 0.121571i | 0.00278604 | − | 0.00610917i | ||||
\(397\) | 2.19416 | + | 9.96818i | 0.110122 | + | 0.500289i | 0.999103 | + | 0.0423449i | \(0.0134828\pi\) |
−0.888981 | + | 0.457944i | \(0.848586\pi\) | |||||||
\(398\) | −21.2908 | − | 2.31552i | −1.06721 | − | 0.116066i | ||||
\(399\) | −0.525148 | + | 0.298799i | −0.0262903 | + | 0.0149587i | ||||
\(400\) | −8.16462 | + | 9.61213i | −0.408231 | + | 0.480607i | ||||
\(401\) | 28.3025 | + | 9.53623i | 1.41336 | + | 0.476217i | 0.919419 | − | 0.393278i | \(-0.128659\pi\) |
0.493941 | + | 0.869495i | \(0.335556\pi\) | |||||||
\(402\) | 28.0105 | + | 24.9918i | 1.39704 | + | 1.24648i | ||||
\(403\) | 4.12854 | + | 10.3618i | 0.205657 | + | 0.516160i | ||||
\(404\) | 0.0525628 | + | 0.0618817i | 0.00261510 | + | 0.00307873i | ||||
\(405\) | 3.79573 | − | 11.6852i | 0.188611 | − | 0.580643i | ||||
\(406\) | 3.31047 | + | 2.24455i | 0.164296 | + | 0.111395i | ||||
\(407\) | −36.3455 | − | 14.4814i | −1.80158 | − | 0.717815i | ||||
\(408\) | −9.91563 | − | 1.87461i | −0.490897 | − | 0.0928070i | ||||
\(409\) | −2.98200 | − | 27.4190i | −0.147450 | − | 1.35578i | −0.800893 | − | 0.598808i | \(-0.795641\pi\) |
0.653443 | − | 0.756976i | \(-0.273324\pi\) | |||||||
\(410\) | −1.41372 | − | 0.654055i | −0.0698185 | − | 0.0323015i | ||||
\(411\) | 12.2426 | − | 24.8550i | 0.603882 | − | 1.22601i | ||||
\(412\) | − | 0.210338i | − | 0.0103626i | ||||||
\(413\) | 5.87414 | + | 10.2499i | 0.289048 | + | 0.504363i | ||||
\(414\) | 9.09993 | + | 14.9391i | 0.447237 | + | 0.734215i | ||||
\(415\) | 22.4012 | − | 1.21456i | 1.09963 | − | 0.0596204i | ||||
\(416\) | 0.0421623 | − | 0.0911322i | 0.00206718 | − | 0.00446813i | ||||
\(417\) | −0.378908 | + | 0.887498i | −0.0185552 | + | 0.0434610i | ||||
\(418\) | −1.28159 | + | 0.431816i | −0.0626844 | + | 0.0211208i | ||||
\(419\) | −1.75925 | + | 4.41539i | −0.0859451 | + | 0.215706i | −0.965667 | − | 0.259782i | \(-0.916349\pi\) |
0.879722 | + | 0.475488i | \(0.157729\pi\) | |||||||
\(420\) | −0.0344602 | + | 0.0172080i | −0.00168149 | + | 0.000839663i | ||||
\(421\) | 20.6310 | − | 3.38228i | 1.00549 | − | 0.164842i | 0.363534 | − | 0.931581i | \(-0.381570\pi\) |
0.641959 | + | 0.766739i | \(0.278122\pi\) | |||||||
\(422\) | 27.5448 | − | 23.3967i | 1.34086 | − | 1.13894i | ||||
\(423\) | 8.68066 | − | 11.5495i | 0.422068 | − | 0.561555i | ||||
\(424\) | 4.27392 | − | 19.4166i | 0.207560 | − | 0.942953i | ||||
\(425\) | 2.06838 | − | 6.13874i | 0.100331 | − | 0.297773i | ||||
\(426\) | −16.9896 | + | 6.29433i | −0.823149 | + | 0.304961i | ||||
\(427\) | −1.63381 | + | 2.71541i | −0.0790655 | + | 0.131408i | ||||
\(428\) | 0.0216047 | − | 0.198652i | 0.00104430 | − | 0.00960221i | ||||
\(429\) | 11.6787 | + | 3.55107i | 0.563852 | + | 0.171447i | ||||
\(430\) | 8.94127 | + | 13.1874i | 0.431186 | + | 0.635952i | ||||
\(431\) | 9.26441 | − | 8.77571i | 0.446251 | − | 0.422711i | −0.431290 | − | 0.902213i | \(-0.641941\pi\) |
0.877541 | + | 0.479502i | \(0.159183\pi\) | |||||||
\(432\) | −10.4318 | − | 18.1036i | −0.501900 | − | 0.871011i | ||||
\(433\) | −23.5756 | + | 10.9072i | −1.13297 | + | 0.524168i | −0.894538 | − | 0.446992i | \(-0.852495\pi\) |
−0.238431 | + | 0.971159i | \(0.576633\pi\) | |||||||
\(434\) | −7.48295 | − | 12.4368i | −0.359193 | − | 0.596984i | ||||
\(435\) | 3.38729 | + | 2.70760i | 0.162408 | + | 0.129820i | ||||
\(436\) | 0.0432355 | − | 0.0456431i | 0.00207060 | − | 0.00218591i | ||||
\(437\) | 0.249514 | − | 0.898670i | 0.0119359 | − | 0.0429892i | ||||
\(438\) | −21.8750 | + | 3.04121i | −1.04523 | + | 0.145315i | ||||
\(439\) | 8.60885 | + | 6.54428i | 0.410878 | + | 0.312341i | 0.790116 | − | 0.612958i | \(-0.210021\pi\) |
−0.379237 | + | 0.925299i | \(0.623814\pi\) | |||||||
\(440\) | 15.6032 | − | 4.33221i | 0.743854 | − | 0.206530i | ||||
\(441\) | 13.8788 | − | 0.828457i | 0.660893 | − | 0.0394503i | ||||
\(442\) | −0.265723 | + | 4.90097i | −0.0126392 | + | 0.233115i | ||||
\(443\) | −0.144605 | + | 2.66708i | −0.00687039 | + | 0.126717i | 0.993086 | + | 0.117388i | \(0.0374522\pi\) |
−0.999956 | + | 0.00932862i | \(0.997031\pi\) | |||||||
\(444\) | 0.143563 | − | 0.0923165i | 0.00681321 | − | 0.00438115i | ||||
\(445\) | 3.37626 | − | 0.937413i | 0.160050 | − | 0.0444377i | ||||
\(446\) | 18.3100 | + | 13.9189i | 0.867004 | + | 0.659079i | ||||
\(447\) | 3.25646 | + | 23.4232i | 0.154025 | + | 1.10788i | ||||
\(448\) | 3.27410 | − | 11.7922i | 0.154687 | − | 0.557131i | ||||
\(449\) | −22.8592 | + | 24.1321i | −1.07879 | + | 1.13887i | −0.0890442 | + | 0.996028i | \(0.528381\pi\) |
−0.989746 | + | 0.142837i | \(0.954377\pi\) | |||||||
\(450\) | 12.3671 | − | 5.00586i | 0.582990 | − | 0.235978i | ||||
\(451\) | −1.74458 | − | 2.89952i | −0.0821492 | − | 0.136533i | ||||
\(452\) | −0.0977022 | + | 0.0452019i | −0.00459553 | + | 0.00212612i | ||||
\(453\) | −0.829002 | + | 34.0322i | −0.0389499 | + | 1.59897i | ||||
\(454\) | −30.1192 | + | 28.5304i | −1.41356 | + | 1.33900i | ||||
\(455\) | −1.97472 | − | 2.91249i | −0.0925763 | − | 0.136540i | ||||
\(456\) | −0.322381 | + | 1.06024i | −0.0150969 | + | 0.0496503i | ||||
\(457\) | −0.765223 | + | 7.03611i | −0.0357956 | + | 0.329135i | 0.962524 | + | 0.271195i | \(0.0874188\pi\) |
−0.998320 | + | 0.0579403i | \(0.981547\pi\) | |||||||
\(458\) | 18.5814 | − | 30.8826i | 0.868254 | − | 1.44305i | ||||
\(459\) | 8.41943 | + | 6.65503i | 0.392985 | + | 0.310630i | ||||
\(460\) | 0.0189848 | − | 0.0563448i | 0.000885169 | − | 0.00262709i | ||||
\(461\) | −4.97783 | + | 22.6145i | −0.231841 | + | 1.05326i | 0.706543 | + | 0.707670i | \(0.250254\pi\) |
−0.938384 | + | 0.345594i | \(0.887677\pi\) | |||||||
\(462\) | −15.7445 | − | 2.10141i | −0.732499 | − | 0.0977663i | ||||
\(463\) | 9.73541 | − | 8.26934i | 0.452443 | − | 0.384309i | −0.391990 | − | 0.919969i | \(-0.628213\pi\) |
0.844433 | + | 0.535661i | \(0.179937\pi\) | |||||||
\(464\) | 7.27747 | − | 1.19308i | 0.337848 | − | 0.0553874i | ||||
\(465\) | −7.03041 | − | 14.0789i | −0.326027 | − | 0.652893i | ||||
\(466\) | −0.413008 | + | 1.03657i | −0.0191322 | + | 0.0480182i | ||||
\(467\) | −29.6505 | + | 9.99042i | −1.37206 | + | 0.462302i | −0.906310 | − | 0.422614i | \(-0.861113\pi\) |
−0.465752 | + | 0.884915i | \(0.654216\pi\) | |||||||
\(468\) | −0.0422175 | + | 0.0324579i | −0.00195150 | + | 0.00150037i | ||||
\(469\) | 9.87092 | − | 21.3356i | 0.455797 | − | 0.985189i | ||||
\(470\) | −9.30867 | + | 0.504701i | −0.429377 | + | 0.0232801i | ||||
\(471\) | −17.5136 | − | 9.83880i | −0.806983 | − | 0.453348i | ||||
\(472\) | 20.7500 | + | 6.23909i | 0.955094 | + | 0.287177i | ||||
\(473\) | 34.6122i | 1.59147i | ||||||||
\(474\) | 16.2043 | + | 7.98160i | 0.744290 | + | 0.366607i | ||||
\(475\) | −0.645614 | − | 0.298693i | −0.0296228 | − | 0.0137050i | ||||
\(476\) | −0.00363769 | − | 0.0334480i | −0.000166733 | − | 0.00153309i | ||||
\(477\) | −13.6001 | + | 16.1894i | −0.622704 | + | 0.741263i | ||||
\(478\) | −14.4730 | − | 5.76657i | −0.661980 | − | 0.263757i | ||||
\(479\) | 12.1854 | + | 8.26193i | 0.556767 | + | 0.377497i | 0.806876 | − | 0.590720i | \(-0.201156\pi\) |
−0.250110 | + | 0.968218i | \(0.580467\pi\) | |||||||
\(480\) | −0.0484904 | + | 0.133110i | −0.00221327 | + | 0.00607561i | ||||
\(481\) | 10.0946 | + | 11.8843i | 0.460276 | + | 0.541879i | ||||
\(482\) | −5.50200 | − | 13.8090i | −0.250609 | − | 0.628981i | ||||
\(483\) | 7.29296 | − | 8.17388i | 0.331841 | − | 0.371924i | ||||
\(484\) | −0.0670774 | − | 0.0226010i | −0.00304897 | − | 0.00102732i | ||||
\(485\) | 5.48487 | − | 6.45729i | 0.249055 | − | 0.293210i | ||||
\(486\) | 0.899891 | + | 22.0854i | 0.0408199 | + | 1.00181i | ||||
\(487\) | −3.35423 | − | 0.364795i | −0.151995 | − | 0.0165304i | 0.0318052 | − | 0.999494i | \(-0.489874\pi\) |
−0.183800 | + | 0.982964i | \(0.558840\pi\) | |||||||
\(488\) | 1.24948 | + | 5.67643i | 0.0565612 | + | 0.256960i | ||||
\(489\) | 4.77352 | − | 0.401808i | 0.215866 | − | 0.0181704i | ||||
\(490\) | −6.16935 | − | 6.51290i | −0.278703 | − | 0.294223i | ||||
\(491\) | −7.93449 | + | 4.20660i | −0.358079 | + | 0.189841i | −0.637729 | − | 0.770261i | \(-0.720126\pi\) |
0.279651 | + | 0.960102i | \(0.409781\pi\) | |||||||
\(492\) | 0.0147171 | + | 0.00115797i | 0.000663498 | + | 5.22051e-5i | ||||
\(493\) | −3.24568 | + | 1.95286i | −0.146178 | + | 0.0879524i | ||||
\(494\) | 0.531888 | + | 0.0871986i | 0.0239308 | + | 0.00392325i | ||||
\(495\) | −16.8390 | − | 3.61032i | −0.756856 | − | 0.162272i | ||||
\(496\) | −25.7864 | − | 7.15955i | −1.15784 | − | 0.321473i | ||||
\(497\) | 6.86647 | + | 9.03268i | 0.308003 | + | 0.405171i | ||||
\(498\) | −37.0319 | + | 16.0498i | −1.65944 | + | 0.719210i | ||||
\(499\) | 3.59992 | + | 12.9657i | 0.161155 | + | 0.580426i | 0.999384 | + | 0.0351079i | \(0.0111775\pi\) |
−0.838229 | + | 0.545318i | \(0.816409\pi\) | |||||||
\(500\) | −0.103940 | − | 0.0551054i | −0.00464833 | − | 0.00246439i | ||||
\(501\) | −12.5235 | + | 19.7111i | −0.559507 | + | 0.880625i | ||||
\(502\) | −16.2577 | − | 0.881469i | −0.725618 | − | 0.0393419i | ||||
\(503\) | 17.2041 | − | 32.4504i | 0.767092 | − | 1.44689i | −0.123624 | − | 0.992329i | \(-0.539452\pi\) |
0.890716 | − | 0.454560i | \(-0.150204\pi\) | |||||||
\(504\) | −8.89925 | + | 9.49809i | −0.396404 | + | 0.423079i | ||||
\(505\) | 6.33303 | − | 8.33096i | 0.281816 | − | 0.370723i | ||||
\(506\) | 19.5195 | − | 14.8384i | 0.867748 | − | 0.659645i | ||||
\(507\) | 12.5157 | + | 12.4476i | 0.555840 | + | 0.552815i | ||||
\(508\) | 0.0466278 | + | 0.0441682i | 0.00206878 | + | 0.00195965i | ||||
\(509\) | −0.825308 | + | 5.03416i | −0.0365812 | + | 0.223135i | −0.998790 | − | 0.0491772i | \(-0.984340\pi\) |
0.962209 | + | 0.272312i | \(0.0877884\pi\) | |||||||
\(510\) | −0.206400 | − | 6.92159i | −0.00913953 | − | 0.306493i | ||||
\(511\) | 5.80736 | + | 12.5524i | 0.256903 | + | 0.555286i | ||||
\(512\) | −10.5135 | − | 19.8305i | −0.464634 | − | 0.876392i | ||||
\(513\) | 0.826499 | − | 0.840140i | 0.0364908 | − | 0.0370931i | ||||
\(514\) | −6.40509 | + | 4.34276i | −0.282516 | + | 0.191551i | ||||
\(515\) | −26.4765 | + | 5.82791i | −1.16669 | + | 0.256808i | ||||
\(516\) | −0.122880 | − | 0.0877571i | −0.00540947 | − | 0.00386329i | ||||
\(517\) | −17.3529 | − | 10.4409i | −0.763179 | − | 0.459189i | ||||
\(518\) | −15.4647 | − | 13.1358i | −0.679480 | − | 0.577155i | ||||
\(519\) | 11.6130 | − | 10.4758i | 0.509754 | − | 0.459837i | ||||
\(520\) | −6.30299 | − | 1.38739i | −0.276405 | − | 0.0608412i | ||||
\(521\) | 9.59734 | − | 3.82393i | 0.420467 | − | 0.167529i | −0.150302 | − | 0.988640i | \(-0.548025\pi\) |
0.570769 | + | 0.821111i | \(0.306645\pi\) | |||||||
\(522\) | −7.40665 | − | 2.45067i | −0.324180 | − | 0.107263i | ||||
\(523\) | −2.43641 | − | 14.8615i | −0.106537 | − | 0.649846i | −0.985069 | − | 0.172162i | \(-0.944925\pi\) |
0.878532 | − | 0.477684i | \(-0.158524\pi\) | |||||||
\(524\) | −0.0390345 | + | 0.0575717i | −0.00170523 | + | 0.00251503i | ||||
\(525\) | −5.25233 | − | 6.49781i | −0.229231 | − | 0.283588i | ||||
\(526\) | −4.20437 | − | 12.4781i | −0.183319 | − | 0.544072i | ||||
\(527\) | 13.6653 | − | 1.48619i | 0.595271 | − | 0.0647397i | ||||
\(528\) | −23.7401 | + | 17.1509i | −1.03316 | + | 0.746396i | ||||
\(529\) | −0.329729 | − | 6.08149i | −0.0143360 | − | 0.264413i | ||||
\(530\) | 13.6427 | 0.592601 | ||||||||
\(531\) | −16.4770 | − | 16.1092i | −0.715042 | − | 0.699082i | ||||
\(532\) | −0.00369473 | −0.000160187 | ||||||||
\(533\) | 0.0730144 | + | 1.34667i | 0.00316261 | + | 0.0583308i | ||||
\(534\) | −5.10988 | + | 3.69159i | −0.221126 | + | 0.159751i | ||||
\(535\) | −25.6041 | + | 2.78461i | −1.10696 | + | 0.120389i | ||||
\(536\) | −13.7672 | − | 40.8597i | −0.594655 | − | 1.76487i | ||||
\(537\) | 1.79041 | + | 2.21497i | 0.0772618 | + | 0.0955829i | ||||
\(538\) | −9.62995 | + | 14.2031i | −0.415177 | + | 0.612340i | ||||
\(539\) | −3.15289 | − | 19.2318i | −0.135805 | − | 0.828371i | ||||
\(540\) | 0.0555115 | − | 0.0506276i | 0.00238883 | − | 0.00217867i | ||||
\(541\) | −40.0256 | + | 15.9477i | −1.72084 | + | 0.685643i | −0.999972 | − | 0.00743417i | \(-0.997634\pi\) |
−0.720863 | + | 0.693078i | \(0.756254\pi\) | |||||||
\(542\) | 38.6530 | + | 8.50818i | 1.66029 | + | 0.365458i | ||||
\(543\) | −0.350887 | + | 0.316527i | −0.0150580 | + | 0.0135835i | ||||
\(544\) | −0.0943144 | − | 0.0801114i | −0.00404370 | − | 0.00343475i | ||||
\(545\) | −6.94330 | − | 4.17765i | −0.297418 | − | 0.178951i | ||||
\(546\) | 5.15168 | + | 3.67919i | 0.220472 | + | 0.157455i | ||||
\(547\) | −33.7549 | + | 7.43001i | −1.44325 | + | 0.317684i | −0.866477 | − | 0.499218i | \(-0.833621\pi\) |
−0.576777 | + | 0.816902i | \(0.695690\pi\) | |||||||
\(548\) | 0.140233 | − | 0.0950802i | 0.00599045 | − | 0.00406162i | ||||
\(549\) | 1.62117 | − | 5.96500i | 0.0691899 | − | 0.254580i | ||||
\(550\) | −8.75980 | − | 16.5227i | −0.373519 | − | 0.704532i | ||||
\(551\) | 0.174659 | + | 0.377520i | 0.00744074 | + | 0.0160829i | ||||
\(552\) | −0.598857 | − | 20.0826i | −0.0254890 | − | 0.854772i | ||||
\(553\) | 1.83008 | − | 11.1630i | 0.0778229 | − | 0.474699i | ||||
\(554\) | −21.8305 | − | 20.6789i | −0.927487 | − | 0.878562i | ||||
\(555\) | −15.5982 | − | 15.5133i | −0.662105 | − | 0.658502i | ||||
\(556\) | −0.00469776 | + | 0.00357115i | −0.000199229 | + | 0.000151450i | ||||
\(557\) | −19.7115 | + | 25.9301i | −0.835204 | + | 1.09869i | 0.158578 | + | 0.987346i | \(0.449309\pi\) |
−0.993782 | + | 0.111345i | \(0.964484\pi\) | |||||||
\(558\) | 20.6597 | + | 19.3571i | 0.874594 | + | 0.819452i | ||||
\(559\) | 6.46153 | − | 12.1877i | 0.273294 | − | 0.515487i | ||||
\(560\) | 8.43032 | + | 0.457079i | 0.356246 | + | 0.0193151i | ||||
\(561\) | 8.06711 | − | 12.6971i | 0.340594 | − | 0.536072i | ||||
\(562\) | −13.4728 | − | 7.14281i | −0.568315 | − | 0.301301i | ||||
\(563\) | −5.00024 | − | 18.0093i | −0.210735 | − | 0.759000i | −0.991036 | − | 0.133595i | \(-0.957348\pi\) |
0.780301 | − | 0.625404i | \(-0.215066\pi\) | |||||||
\(564\) | 0.0810641 | − | 0.0351336i | 0.00341341 | − | 0.00147939i | ||||
\(565\) | 8.39689 | + | 11.0459i | 0.353260 | + | 0.464705i | ||||
\(566\) | −10.8177 | − | 3.00352i | −0.454702 | − | 0.126247i | ||||
\(567\) | 13.0686 | − | 4.56272i | 0.548830 | − | 0.191616i | ||||
\(568\) | 20.5360 | + | 3.36671i | 0.861673 | + | 0.141264i | ||||
\(569\) | 23.3936 | − | 14.0755i | 0.980711 | − | 0.590074i | 0.0675688 | − | 0.997715i | \(-0.478476\pi\) |
0.913143 | + | 0.407640i | \(0.133648\pi\) | |||||||
\(570\) | −0.758087 | − | 0.0596475i | −0.0317528 | − | 0.00249836i | ||||
\(571\) | 6.65064 | − | 3.52595i | 0.278321 | − | 0.147556i | −0.323401 | − | 0.946262i | \(-0.604826\pi\) |
0.601722 | + | 0.798706i | \(0.294482\pi\) | |||||||
\(572\) | 0.0513327 | + | 0.0541913i | 0.00214633 | + | 0.00226585i | ||||
\(573\) | 31.6860 | − | 2.66714i | 1.32370 | − | 0.111421i | ||||
\(574\) | −0.377263 | − | 1.71392i | −0.0157467 | − | 0.0715378i | ||||
\(575\) | 12.8216 | + | 1.39444i | 0.534700 | + | 0.0581521i | ||||
\(576\) | 0.130250 | + | 23.8712i | 0.00542709 | + | 0.994633i | ||||
\(577\) | −13.7063 | + | 16.1363i | −0.570600 | + | 0.671763i | −0.969460 | − | 0.245249i | \(-0.921130\pi\) |
0.398860 | + | 0.917012i | \(0.369406\pi\) | |||||||
\(578\) | −17.1113 | − | 5.76548i | −0.711737 | − | 0.239812i | ||||
\(579\) | −20.6136 | + | 23.1036i | −0.856674 | + | 0.960151i | ||||
\(580\) | 0.00981521 | + | 0.0246343i | 0.000407554 | + | 0.00102288i | ||||
\(581\) | 16.3628 | + | 19.2638i | 0.678845 | + | 0.799198i | ||||
\(582\) | −5.21717 | + | 14.3215i | −0.216259 | + | 0.593647i | ||||
\(583\) | 24.5304 | + | 16.6321i | 1.01595 | + | 0.688829i | ||||
\(584\) | 23.5653 | + | 9.38926i | 0.975138 | + | 0.388530i | ||||
\(585\) | 5.25540 | + | 4.41484i | 0.217284 | + | 0.182531i | ||||
\(586\) | −0.387205 | − | 3.56029i | −0.0159953 | − | 0.147074i | ||||
\(587\) | 39.6081 | + | 18.3247i | 1.63480 | + | 0.756340i | 0.999868 | − | 0.0162273i | \(-0.00516553\pi\) |
0.634933 | + | 0.772567i | \(0.281028\pi\) | |||||||
\(588\) | 0.0762701 | + | 0.0375676i | 0.00314533 | + | 0.00154926i | ||||
\(589\) | − | 1.50950i | − | 0.0621979i | ||||||
\(590\) | −1.12029 | + | 14.8262i | −0.0461217 | + | 0.610383i | ||||
\(591\) | 5.64077 | + | 3.16888i | 0.232030 | + | 0.130350i | ||||
\(592\) | −37.3571 | + | 2.02544i | −1.53537 | + | 0.0832453i | ||||
\(593\) | −8.02769 | + | 17.3516i | −0.329658 | + | 0.712544i | −0.999553 | − | 0.0299125i | \(-0.990477\pi\) |
0.669895 | + | 0.742456i | \(0.266339\pi\) | |||||||
\(594\) | 30.6639 | − | 4.43379i | 1.25816 | − | 0.181921i | ||||
\(595\) | −4.10950 | + | 1.38465i | −0.168473 | + | 0.0567652i | ||||
\(596\) | −0.0535263 | + | 0.134341i | −0.00219252 | + | 0.00550281i | ||||
\(597\) | −11.6873 | − | 23.4046i | −0.478328 | − | 0.957886i | ||||
\(598\) | −9.64334 | + | 1.58094i | −0.394345 | + | 0.0646496i | ||||
\(599\) | 16.0231 | − | 13.6102i | 0.654686 | − | 0.556096i | −0.257292 | − | 0.966334i | \(-0.582830\pi\) |
0.911979 | + | 0.410238i | \(0.134554\pi\) | |||||||
\(600\) | −15.1895 | − | 2.02733i | −0.620108 | − | 0.0827655i | ||||
\(601\) | −1.21310 | + | 5.51115i | −0.0494832 | + | 0.224804i | −0.994872 | − | 0.101140i | \(-0.967751\pi\) |
0.945389 | + | 0.325944i | \(0.105682\pi\) | |||||||
\(602\) | −5.73163 | + | 17.0109i | −0.233604 | + | 0.693312i | ||||
\(603\) | −7.17142 | + | 45.2902i | −0.292043 | + | 1.84436i | ||||
\(604\) | −0.107323 | + | 0.178372i | −0.00436691 | + | 0.00725786i | ||||
\(605\) | −0.986381 | + | 9.06963i | −0.0401021 | + | 0.368733i | ||||
\(606\) | −5.47697 | + | 18.0125i | −0.222487 | + | 0.731709i | ||||
\(607\) | −20.4833 | − | 30.2105i | −0.831390 | − | 1.22621i | −0.971728 | − | 0.236105i | \(-0.924129\pi\) |
0.140338 | − | 0.990104i | \(-0.455181\pi\) | |||||||
\(608\) | −0.00986562 | + | 0.00934521i | −0.000400104 | + | 0.000378999i | ||||
\(609\) | −0.118976 | + | 4.88419i | −0.00482114 | + | 0.197917i | ||||
\(610\) | −3.61981 | + | 1.67470i | −0.146562 | + | 0.0678067i | ||||
\(611\) | 4.16120 | + | 6.91596i | 0.168344 | + | 0.279790i | ||||
\(612\) | 0.0246233 | + | 0.0608324i | 0.000995337 | + | 0.00245900i | ||||
\(613\) | 30.2780 | − | 31.9641i | 1.22292 | − | 1.29102i | 0.279212 | − | 0.960230i | \(-0.409927\pi\) |
0.943705 | − | 0.330788i | \(-0.107314\pi\) | |||||||
\(614\) | 4.94183 | − | 17.7989i | 0.199436 | − | 0.718303i | ||||
\(615\) | −0.262012 | − | 1.88461i | −0.0105653 | − | 0.0759948i | ||||
\(616\) | 14.5241 | + | 11.0409i | 0.585193 | + | 0.444852i | ||||
\(617\) | −38.9594 | + | 10.8170i | −1.56845 | + | 0.435477i | −0.939663 | − | 0.342102i | \(-0.888861\pi\) |
−0.628785 | + | 0.777579i | \(0.716447\pi\) | |||||||
\(618\) | 41.0235 | − | 26.3796i | 1.65021 | − | 1.06114i | ||||
\(619\) | −0.820148 | + | 15.1267i | −0.0329645 | + | 0.607995i | 0.934651 | + | 0.355566i | \(0.115712\pi\) |
−0.967616 | + | 0.252428i | \(0.918771\pi\) | |||||||
\(620\) | 0.00520980 | − | 0.0960892i | 0.000209231 | − | 0.00385903i | ||||
\(621\) | −9.33673 | + | 19.2194i | −0.374670 | + | 0.771247i | ||||
\(622\) | 35.4233 | − | 9.83523i | 1.42034 | − | 0.394357i | ||||
\(623\) | 3.14276 | + | 2.38906i | 0.125912 | + | 0.0957158i | ||||
\(624\) | 11.5612 | − | 1.60732i | 0.462819 | − | 0.0643444i | ||||
\(625\) | 0.138832 | − | 0.500028i | 0.00555329 | − | 0.0200011i | ||||
\(626\) | −11.9987 | + | 12.6669i | −0.479566 | + | 0.506272i | ||||
\(627\) | −1.29037 | − | 1.03145i | −0.0515324 | − | 0.0411920i | ||||
\(628\) | −0.0633302 | − | 0.105256i | −0.00252715 | − | 0.00420016i | ||||
\(629\) | 17.4402 | − | 8.06869i | 0.695386 | − | 0.321720i | ||||
\(630\) | −7.67801 | − | 4.56283i | −0.305899 | − | 0.181787i | ||||
\(631\) | 29.3726 | − | 27.8232i | 1.16930 | − | 1.10762i | 0.176948 | − | 0.984220i | \(-0.443377\pi\) |
0.992356 | − | 0.123404i | \(-0.0393812\pi\) | |||||||
\(632\) | −11.6431 | − | 17.1724i | −0.463139 | − | 0.683080i | ||||
\(633\) | 42.2366 | + | 12.8426i | 1.67875 | + | 0.510449i | ||||
\(634\) | 2.04932 | − | 18.8432i | 0.0813890 | − | 0.748360i | ||||
\(635\) | 4.26778 | − | 7.09310i | 0.169362 | − | 0.281481i | ||||
\(636\) | −0.121242 | + | 0.0449179i | −0.00480756 | + | 0.00178111i | ||||
\(637\) | −2.48005 | + | 7.36053i | −0.0982632 | + | 0.291635i | ||||
\(638\) | −2.35080 | + | 10.6798i | −0.0930690 | + | 0.422817i | ||||
\(639\) | −17.6916 | − | 13.2971i | −0.699868 | − | 0.526025i | ||||
\(640\) | 11.8641 | − | 10.0774i | 0.468969 | − | 0.398346i | ||||
\(641\) | −23.2609 | + | 3.81343i | −0.918749 | + | 0.150621i | −0.602559 | − | 0.798074i | \(-0.705852\pi\) |
−0.316191 | + | 0.948696i | \(0.602404\pi\) | |||||||
\(642\) | 41.4538 | − | 20.7003i | 1.63605 | − | 0.816976i | ||||
\(643\) | −6.50879 | + | 16.3358i | −0.256681 | + | 0.644222i | −0.999686 | − | 0.0250647i | \(-0.992021\pi\) |
0.743004 | + | 0.669287i | \(0.233400\pi\) | |||||||
\(644\) | 0.0634804 | − | 0.0213890i | 0.00250148 | − | 0.000842846i | ||||
\(645\) | −7.64182 | + | 17.8991i | −0.300896 | + | 0.704775i | ||||
\(646\) | 0.278904 | − | 0.602842i | 0.0109733 | − | 0.0237185i | ||||
\(647\) | −21.6449 | + | 1.17355i | −0.850950 | + | 0.0461371i | −0.474453 | − | 0.880281i | \(-0.657354\pi\) |
−0.376497 | + | 0.926418i | \(0.622871\pi\) | |||||||
\(648\) | 11.6465 | − | 22.5590i | 0.457517 | − | 0.886203i | ||||
\(649\) | −20.0892 | + | 25.2926i | −0.788570 | + | 0.992822i | ||||
\(650\) | 7.45334i | 0.292344i | ||||||||
\(651\) | 7.83408 | − | 15.9048i | 0.307042 | − | 0.623360i | ||||
\(652\) | 0.0265861 | + | 0.0123001i | 0.00104119 | + | 0.000481707i | ||||
\(653\) | 0.844690 | + | 7.76680i | 0.0330553 | + | 0.303938i | 0.998982 | + | 0.0451208i | \(0.0143673\pi\) |
−0.965926 | + | 0.258817i | \(0.916667\pi\) | |||||||
\(654\) | 14.3244 | + | 2.70812i | 0.560130 | + | 0.105896i | ||||
\(655\) | 8.32842 | + | 3.31835i | 0.325418 | + | 0.129658i | ||||
\(656\) | −2.67824 | − | 1.81589i | −0.104568 | − | 0.0708987i | ||||
\(657\) | −17.5768 | − | 20.4657i | −0.685738 | − | 0.798442i | ||||
\(658\) | −6.79946 | − | 8.00494i | −0.265071 | − | 0.312065i | ||||
\(659\) | 0.728560 | + | 1.82855i | 0.0283807 | + | 0.0712301i | 0.942484 | − | 0.334251i | \(-0.108483\pi\) |
−0.914103 | + | 0.405481i | \(0.867104\pi\) | |||||||
\(660\) | −0.0785803 | − | 0.0701115i | −0.00305873 | − | 0.00272909i | ||||
\(661\) | 34.1345 | + | 11.5012i | 1.32768 | + | 0.447347i | 0.891707 | − | 0.452614i | \(-0.149508\pi\) |
0.435971 | + | 0.899961i | \(0.356405\pi\) | |||||||
\(662\) | −20.7217 | + | 24.3955i | −0.805371 | + | 0.948157i | ||||
\(663\) | −5.21095 | + | 2.96493i | −0.202377 | + | 0.115148i | ||||
\(664\) | 46.0856 | + | 5.01211i | 1.78847 | + | 0.194508i | ||||
\(665\) | 0.102371 | + | 0.465077i | 0.00396979 | + | 0.0180349i | ||||
\(666\) | 36.0100 | + | 16.4221i | 1.39536 | + | 0.636343i | ||||
\(667\) | −5.18636 | − | 5.47518i | −0.200817 | − | 0.212000i | ||||
\(668\) | −0.126170 | + | 0.0668910i | −0.00488166 | + | 0.00258809i | ||||
\(669\) | −2.20372 | + | 28.0081i | −0.0852008 | + | 1.08285i | ||||
\(670\) | 25.3517 | − | 15.2536i | 0.979423 | − | 0.589299i | ||||
\(671\) | −8.55030 | − | 1.40175i | −0.330081 | − | 0.0541140i | ||||
\(672\) | −0.152449 | + | 0.0472646i | −0.00588086 | + | 0.00182327i | ||||
\(673\) | −38.5822 | − | 10.7123i | −1.48724 | − | 0.412929i | −0.573489 | − | 0.819213i | \(-0.694411\pi\) |
−0.913747 | + | 0.406284i | \(0.866824\pi\) | |||||||
\(674\) | −8.45597 | − | 11.1236i | −0.325712 | − | 0.428466i | ||||
\(675\) | 13.3138 | + | 9.39904i | 0.512447 | + | 0.361769i | ||||
\(676\) | 0.0288773 | + | 0.104007i | 0.00111067 | + | 0.00400026i | ||||
\(677\) | −15.1394 | − | 8.02640i | −0.581854 | − | 0.308479i | 0.151359 | − | 0.988479i | \(-0.451635\pi\) |
−0.733213 | + | 0.679999i | \(0.761980\pi\) | |||||||
\(678\) | −21.0693 | − | 13.3864i | −0.809163 | − | 0.514103i | ||||
\(679\) | 9.53128 | + | 0.516771i | 0.365777 | + | 0.0198319i | ||||
\(680\) | −3.72552 | + | 7.02708i | −0.142867 | + | 0.269476i | ||||
\(681\) | −49.2119 | − | 12.0960i | −1.88580 | − | 0.463519i | ||||
\(682\) | 24.0156 | − | 31.5920i | 0.919605 | − | 1.20972i | ||||
\(683\) | 12.7055 | − | 9.65846i | 0.486162 | − | 0.369571i | −0.333192 | − | 0.942859i | \(-0.608126\pi\) |
0.819354 | + | 0.573288i | \(0.194333\pi\) | |||||||
\(684\) | 0.00693347 | − | 0.00196588i | 0.000265108 | − | 7.51673e-5i | ||||
\(685\) | −15.8538 | − | 15.0175i | −0.605741 | − | 0.573789i | ||||
\(686\) | 4.10490 | − | 25.0388i | 0.156726 | − | 0.955984i | ||||
\(687\) | 44.0059 | − | 1.31224i | 1.67893 | − | 0.0500652i | ||||
\(688\) | 13.8973 | + | 30.0384i | 0.529828 | + | 1.14520i | ||||
\(689\) | −5.53279 | − | 10.4360i | −0.210783 | − | 0.397578i | ||||
\(690\) | 13.3702 | − | 3.36378i | 0.508996 | − | 0.128057i | ||||
\(691\) | −26.1464 | + | 17.7277i | −0.994654 | + | 0.674392i | −0.945913 | − | 0.324419i | \(-0.894831\pi\) |
−0.0487407 | + | 0.998811i | \(0.515521\pi\) | |||||||
\(692\) | 0.0934024 | − | 0.0205594i | 0.00355063 | − | 0.000781552i | ||||
\(693\) | −8.24292 | − | 17.5647i | −0.313123 | − | 0.667226i | ||||
\(694\) | 38.1137 | + | 22.9322i | 1.44678 | + | 0.870496i | ||||
\(695\) | 0.579683 | + | 0.492387i | 0.0219886 | + | 0.0186773i | ||||
\(696\) | 6.00205 | + | 6.65360i | 0.227507 | + | 0.252204i | ||||
\(697\) | 1.62318 | + | 0.357289i | 0.0614823 | + | 0.0135333i | ||||
\(698\) | −0.152678 | + | 0.0608325i | −0.00577895 | + | 0.00230254i | ||||
\(699\) | −1.33787 | + | 0.260500i | −0.0506027 | + | 0.00985302i | ||||
\(700\) | −0.00826579 | − | 0.0504191i | −0.000312418 | − | 0.00190566i | ||||
\(701\) | 0.0624811 | − | 0.0921528i | 0.00235988 | − | 0.00348056i | −0.826507 | − | 0.562926i | \(-0.809676\pi\) |
0.828867 | + | 0.559446i | \(0.188986\pi\) | |||||||
\(702\) | −11.6252 | − | 4.16321i | −0.438764 | − | 0.157130i | ||||
\(703\) | −0.673798 | − | 1.99976i | −0.0254128 | − | 0.0754224i | ||||
\(704\) | 33.2647 | − | 3.61775i | 1.25371 | − | 0.136349i | ||||
\(705\) | −6.66854 | − | 9.23054i | −0.251152 | − | 0.347642i | ||||
\(706\) | 0.615031 | + | 11.3436i | 0.0231470 | + | 0.426921i | ||||
\(707\) | 11.7901 | 0.443412 | ||||||||
\(708\) | −0.0388584 | − | 0.135448i | −0.00146039 | − | 0.00509045i | ||||
\(709\) | −6.05168 | −0.227276 | −0.113638 | − | 0.993522i | \(-0.536250\pi\) | ||||
−0.113638 | + | 0.993522i | \(0.536250\pi\) | |||||||
\(710\) | 0.773105 | + | 14.2591i | 0.0290141 | + | 0.535134i | ||||
\(711\) | 2.50526 | + | 21.9220i | 0.0939547 | + | 0.822140i | ||||
\(712\) | 7.19808 | − | 0.782839i | 0.269760 | − | 0.0293381i | ||||
\(713\) | 8.73859 | + | 25.9352i | 0.327263 | + | 0.971282i | ||||
\(714\) | 6.06733 | − | 4.90436i | 0.227064 | − | 0.183541i | ||||
\(715\) | 5.39908 | − | 7.96305i | 0.201914 | − | 0.297801i | ||||
\(716\) | 0.00281763 | + | 0.0171868i | 0.000105300 | + | 0.000642301i | ||||
\(717\) | −3.63720 | − | 18.6798i | −0.135834 | − | 0.697610i | ||||
\(718\) | −7.37727 | + | 2.93937i | −0.275317 | + | 0.109696i | ||||
\(719\) | −15.0397 | − | 3.31049i | −0.560887 | − | 0.123461i | −0.0745269 | − | 0.997219i | \(-0.523745\pi\) |
−0.486360 | + | 0.873758i | \(0.661676\pi\) | |||||||
\(720\) | −16.0634 | + | 3.62783i | −0.598648 | + | 0.135201i | ||||
\(721\) | −23.2792 | − | 19.7735i | −0.866961 | − | 0.736404i | ||||
\(722\) | 23.0222 | + | 13.8520i | 0.856797 | + | 0.515518i | ||||
\(723\) | 10.5527 | − | 14.7761i | 0.392459 | − | 0.549530i | ||||
\(724\) | −0.00282216 | 0.000621204i | −0.000104885 | 2.30869e-5i | ||||||
\(725\) | −4.76097 | + | 3.22802i | −0.176818 | + | 0.119886i | ||||
\(726\) | −4.00452 | − | 15.9170i | −0.148622 | − | 0.590735i | ||||
\(727\) | 13.5566 | + | 25.5705i | 0.502787 | + | 0.948356i | 0.996879 | + | 0.0789466i | \(0.0251557\pi\) |
−0.494092 | + | 0.869409i | \(0.664500\pi\) | |||||||
\(728\) | −3.05310 | − | 6.59917i | −0.113156 | − | 0.244582i | ||||
\(729\) | −22.0966 | + | 15.5158i | −0.818392 | + | 0.574660i | ||||
\(730\) | −2.81612 | + | 17.1776i | −0.104229 | + | 0.635770i | ||||
\(731\) | −12.3420 | − | 11.6910i | −0.456486 | − | 0.432406i | ||||
\(732\) | 0.0266552 | − | 0.0268011i | 0.000985205 | − | 0.000990595i | ||||
\(733\) | −21.9494 | + | 16.6855i | −0.810718 | + | 0.616292i | −0.926206 | − | 0.377017i | \(-0.876950\pi\) |
0.115488 | + | 0.993309i | \(0.463157\pi\) | |||||||
\(734\) | −8.35132 | + | 10.9860i | −0.308253 | + | 0.405500i | ||||
\(735\) | 2.61561 | − | 10.6415i | 0.0964781 | − | 0.392516i | ||||
\(736\) | 0.115404 | − | 0.217676i | 0.00425386 | − | 0.00802363i | ||||
\(737\) | 64.1800 | + | 3.47974i | 2.36410 | + | 0.128178i | ||||
\(738\) | 1.61990 | + | 3.01559i | 0.0596295 | + | 0.111005i | ||||
\(739\) | 2.77009 | + | 1.46861i | 0.101899 | + | 0.0540236i | 0.518579 | − | 0.855030i | \(-0.326461\pi\) |
−0.416679 | + | 0.909054i | \(0.636806\pi\) | |||||||
\(740\) | −0.0359896 | − | 0.129623i | −0.00132300 | − | 0.00476503i | ||||
\(741\) | 0.261814 | + | 0.604087i | 0.00961799 | + | 0.0221917i | ||||
\(742\) | 9.30179 | + | 12.2363i | 0.341479 | + | 0.449209i | ||||
\(743\) | −36.5236 | − | 10.1407i | −1.33992 | − | 0.372028i | −0.477685 | − | 0.878531i | \(-0.658524\pi\) |
−0.862238 | + | 0.506504i | \(0.830938\pi\) | |||||||
\(744\) | −9.62947 | − | 31.0593i | −0.353033 | − | 1.13869i | ||||
\(745\) | 18.3933 | + | 3.01543i | 0.673879 | + | 0.110477i | ||||
\(746\) | −16.1222 | + | 9.70039i | −0.590275 | + | 0.355156i | ||||
\(747\) | −40.9561 | − | 27.4439i | −1.49850 | − | 1.00412i | ||||
\(748\) | 0.0812736 | − | 0.0430885i | 0.00297166 | − | 0.00157547i | ||||
\(749\) | −19.9548 | − | 21.0660i | −0.729132 | − | 0.769735i | ||||
\(750\) | −2.28811 | − | 27.1831i | −0.0835501 | − | 0.992585i | ||||
\(751\) | −4.49800 | − | 20.4346i | −0.164134 | − | 0.745670i | −0.984720 | − | 0.174146i | \(-0.944283\pi\) |
0.820585 | − | 0.571524i | \(-0.193648\pi\) | |||||||
\(752\) | −19.2519 | − | 2.09377i | −0.702046 | − | 0.0763521i | ||||
\(753\) | −9.83542 | − | 17.2860i | −0.358423 | − | 0.629937i | ||||
\(754\) | 2.82151 | − | 3.32174i | 0.102753 | − | 0.120971i | ||||
\(755\) | 25.4264 | + | 8.56714i | 0.925361 | + | 0.311790i | ||||
\(756\) | 0.0832570 | + | 0.0152702i | 0.00302803 | + | 0.000555372i | ||||
\(757\) | 3.26657 | + | 8.19847i | 0.118725 | + | 0.297978i | 0.976314 | − | 0.216358i | \(-0.0694177\pi\) |
−0.857589 | + | 0.514336i | \(0.828038\pi\) | |||||||
\(758\) | 18.5136 | + | 21.7959i | 0.672443 | + | 0.791661i | ||||
\(759\) | 28.1414 | + | 10.2516i | 1.02147 | + | 0.372109i | ||||
\(760\) | 0.722919 | + | 0.490151i | 0.0262230 | + | 0.0177796i | ||||
\(761\) | −41.8649 | − | 16.6805i | −1.51760 | − | 0.604668i | −0.545267 | − | 0.838262i | \(-0.683572\pi\) |
−0.972334 | + | 0.233595i | \(0.924951\pi\) | |||||||
\(762\) | −2.76655 | + | 14.6335i | −0.100221 | + | 0.530115i | ||||
\(763\) | −0.987065 | − | 9.07591i | −0.0357341 | − | 0.328570i | ||||
\(764\) | 0.176475 | + | 0.0816460i | 0.00638464 | + | 0.00295385i | ||||
\(765\) | 6.97507 | − | 4.78498i | 0.252184 | − | 0.173001i | ||||
\(766\) | 33.8546i | 1.22322i | ||||||||
\(767\) | 11.7956 | − | 5.15578i | 0.425913 | − | 0.186164i | ||||
\(768\) | −0.215638 | + | 0.383848i | −0.00778118 | + | 0.0138509i | ||||
\(769\) | −13.5182 | + | 0.732937i | −0.487480 | + | 0.0264304i | −0.296241 | − | 0.955113i | \(-0.595733\pi\) |
−0.191239 | + | 0.981544i | \(0.561250\pi\) | |||||||
\(770\) | −5.25670 | + | 11.3622i | −0.189438 | + | 0.409464i | ||||
\(771\) | −8.69355 | − | 3.71162i | −0.313091 | − | 0.133671i | ||||
\(772\) | −0.179428 | + | 0.0604563i | −0.00645775 | + | 0.00217587i | ||||
\(773\) | 17.9464 | − | 45.0421i | 0.645487 | − | 1.62005i | −0.132071 | − | 0.991240i | \(-0.542163\pi\) |
0.777559 | − | 0.628810i | \(-0.216458\pi\) | |||||||
\(774\) | 1.70480 | − | 34.9720i | 0.0612779 | − | 1.25704i | ||||
\(775\) | 20.5990 | − | 3.37703i | 0.739937 | − | 0.121307i | ||||
\(776\) | 13.3432 | − | 11.3338i | 0.478992 | − | 0.406859i | ||||
\(777\) | 3.27899 | − | 24.5674i | 0.117633 | − | 0.881349i | ||||
\(778\) | 0.718885 | − | 3.26593i | 0.0257733 | − | 0.117089i | ||||
\(779\) | 0.0582776 | − | 0.172962i | 0.00208801 | − | 0.00619699i | ||||
\(780\) | 0.0145812 | + | 0.0393575i | 0.000522091 | + | 0.00140922i | ||||
\(781\) | −15.9934 | + | 26.5813i | −0.572289 | + | 0.951152i | ||||
\(782\) | −1.30206 | + | 11.9722i | −0.0465614 | + | 0.428125i | ||||
\(783\) | −2.37549 | − | 9.22889i | −0.0848932 | − | 0.329814i | ||||
\(784\) | −10.4581 | − | 15.4245i | −0.373502 | − | 0.550874i | ||||
\(785\) | −11.4944 | + | 10.8881i | −0.410253 | + | 0.388613i | ||||
\(786\) | −16.1241 | − | 0.392772i | −0.575126 | − | 0.0140097i | ||||
\(787\) | 11.2706 | − | 5.21434i | 0.401754 | − | 0.185871i | −0.208598 | − | 0.978001i | \(-0.566890\pi\) |
0.610352 | + | 0.792130i | \(0.291028\pi\) | |||||||
\(788\) | 0.0203974 | + | 0.0339007i | 0.000726626 | + | 0.00120766i | ||||
\(789\) | 10.0426 | − | 12.5637i | 0.357528 | − | 0.447278i | ||||
\(790\) | 9.79072 | − | 10.3359i | 0.348338 | − | 0.367736i | ||||
\(791\) | −4.18209 | + | 15.0625i | −0.148698 | + | 0.535562i | ||||
\(792\) | −33.1303 | − | 12.9913i | −1.17723 | − | 0.461626i | ||||
\(793\) | 2.74907 | + | 2.08979i | 0.0976223 | + | 0.0742106i | ||||
\(794\) | −13.9452 | + | 3.87188i | −0.494898 | + | 0.137408i | ||||
\(795\) | 9.01338 | + | 14.0169i | 0.319672 | + | 0.497128i | ||||
\(796\) | 0.00866073 | − | 0.159738i | 0.000306971 | − | 0.00566175i | ||||
\(797\) | 0.585358 | − | 10.7963i | 0.0207345 | − | 0.382425i | −0.969687 | − | 0.244349i | \(-0.921426\pi\) |
0.990422 | − | 0.138075i | \(-0.0440916\pi\) | |||||||
\(798\) | −0.463376 | − | 0.720605i | −0.0164033 | − | 0.0255091i | ||||
\(799\) | 9.58429 | − | 2.66106i | 0.339068 | − | 0.0941417i | ||||
\(800\) | −0.149598 | − | 0.113721i | −0.00528909 | − | 0.00402066i | ||||
\(801\) | −7.16881 | − | 2.81109i | −0.253297 | − | 0.0993249i | ||||
\(802\) | −11.3294 | + | 40.8049i | −0.400056 | + | 1.44087i | ||||
\(803\) | −26.0050 | + | 27.4532i | −0.917697 | + | 0.968801i | ||||
\(804\) | −0.175078 | + | 0.219028i | −0.00617452 | + | 0.00772452i | ||||
\(805\) | −4.45123 | − | 7.39801i | −0.156885 | − | 0.260745i | ||||
\(806\) | −14.3541 | + | 6.64093i | −0.505603 | + | 0.233917i | ||||
\(807\) | −20.9549 | − | 0.510449i | −0.737649 | − | 0.0179686i | ||||
\(808\) | 15.6991 | − | 14.8709i | 0.552291 | − | 0.523158i | ||||
\(809\) | −0.182728 | − | 0.269503i | −0.00642437 | − | 0.00947524i | 0.824463 | − | 0.565915i | \(-0.191477\pi\) |
−0.830888 | + | 0.556440i | \(0.812167\pi\) | |||||||
\(810\) | 16.8362 | + | 4.47724i | 0.591563 | + | 0.157314i | ||||
\(811\) | −2.21062 | + | 20.3263i | −0.0776254 | + | 0.713754i | 0.889061 | + | 0.457789i | \(0.151359\pi\) |
−0.966686 | + | 0.255965i | \(0.917607\pi\) | |||||||
\(812\) | −0.0154027 | + | 0.0255994i | −0.000540527 | + | 0.000898363i | ||||
\(813\) | 16.7955 | + | 45.3344i | 0.589045 | + | 1.58995i | ||||
\(814\) | 17.7137 | − | 52.5723i | 0.620864 | − | 1.84266i | ||||
\(815\) | 0.811647 | − | 3.68735i | 0.0284308 | − | 0.129162i | ||||
\(816\) | 1.90305 | − | 14.2583i | 0.0666200 | − | 0.499140i | ||||
\(817\) | −1.42285 | + | 1.20858i | −0.0497793 | + | 0.0422829i | ||||
\(818\) | 38.5930 | − | 6.32700i | 1.34937 | − | 0.221218i | ||||
\(819\) | −0.376513 | + | 7.72373i | −0.0131564 | + | 0.269889i | ||||
\(820\) | 0.00430668 | − | 0.0108090i | 0.000150396 | − | 0.000377465i | ||||
\(821\) | 24.1897 | − | 8.15046i | 0.844227 | − | 0.284453i | 0.136237 | − | 0.990676i | \(-0.456499\pi\) |
0.707989 | + | 0.706223i | \(0.249602\pi\) | |||||||
\(822\) | 36.1314 | + | 15.4259i | 1.26023 | + | 0.538040i | ||||
\(823\) | 7.95233 | − | 17.1887i | 0.277201 | − | 0.599159i | −0.718106 | − | 0.695934i | \(-0.754991\pi\) |
0.995306 | + | 0.0967746i | \(0.0308526\pi\) | |||||||
\(824\) | −55.9378 | + | 3.03286i | −1.94869 | + | 0.105655i | ||||
\(825\) | 11.1885 | − | 19.9162i | 0.389535 | − | 0.693393i | ||||
\(826\) | −14.0616 | + | 9.10389i | −0.489265 | + | 0.316765i | ||||
\(827\) | − | 7.46050i | − | 0.259427i | −0.991552 | − | 0.129714i | \(-0.958594\pi\) | ||
0.991552 | − | 0.129714i | \(-0.0414058\pi\) | |||||||
\(828\) | −0.107746 | + | 0.0739147i | −0.00374442 | + | 0.00256871i | ||||
\(829\) | 28.9691 | + | 13.4025i | 1.00614 | + | 0.465489i | 0.852550 | − | 0.522646i | \(-0.175055\pi\) |
0.153588 | + | 0.988135i | \(0.450917\pi\) | |||||||
\(830\) | 3.43933 | + | 31.6241i | 0.119381 | + | 1.09769i | ||||
\(831\) | 6.82326 | − | 36.0912i | 0.236696 | − | 1.25199i | ||||
\(832\) | −12.3886 | − | 4.93607i | −0.429498 | − | 0.171128i | ||||
\(833\) | 7.92261 | + | 5.37166i | 0.274502 | + | 0.186117i | ||||
\(834\) | −1.28567 | − | 0.468356i | −0.0445192 | − | 0.0162178i | ||||
\(835\) | 11.9158 | + | 14.0283i | 0.412363 | + | 0.485471i | ||||
\(836\) | −0.00373905 | − | 0.00938430i | −0.000129318 | − | 0.000324563i | ||||
\(837\) | −6.23872 | + | 34.0151i | −0.215642 | + | 1.17573i | ||||
\(838\) | −6.38669 | − | 2.15193i | −0.220624 | − | 0.0743370i | ||||
\(839\) | −5.23059 | + | 6.15792i | −0.180580 | + | 0.212595i | −0.845003 | − | 0.534761i | \(-0.820401\pi\) |
0.664423 | + | 0.747357i | \(0.268677\pi\) | |||||||
\(840\) | 5.07321 | + | 8.91631i | 0.175042 | + | 0.307642i | ||||
\(841\) | −25.4862 | − | 2.77179i | −0.878834 | − | 0.0955790i | ||||
\(842\) | 6.37265 | + | 28.9512i | 0.219616 | + | 0.997725i | ||||
\(843\) | −1.56239 | − | 18.5614i | −0.0538115 | − | 0.639288i | ||||
\(844\) | 0.185648 | + | 0.195986i | 0.00639025 | + | 0.00674611i | ||||
\(845\) | 12.2918 | − | 6.51671i | 0.422851 | − | 0.224182i | ||||
\(846\) | 17.0190 | + | 11.4041i | 0.585125 | + | 0.392081i | ||||
\(847\) | −8.80718 | + | 5.29911i | −0.302618 | + | 0.182079i | ||||
\(848\) | 27.9669 | + | 4.58494i | 0.960386 | + | 0.157447i | ||||
\(849\) | −4.06108 | − | 13.0988i | −0.139376 | − | 0.449548i | ||||
\(850\) | 8.85047 | + | 2.45732i | 0.303569 | + | 0.0842854i | ||||
\(851\) | 23.1535 | + | 30.4579i | 0.793690 | + | 1.04408i | ||||
\(852\) | −0.0538179 | − | 0.124175i | −0.00184377 | − | 0.00425415i | ||||
\(853\) | −14.4607 | − | 52.0828i | −0.495125 | − | 1.78328i | −0.612811 | − | 0.790230i | \(-0.709961\pi\) |
0.117685 | − | 0.993051i | \(-0.462453\pi\) | |||||||
\(854\) | −3.97010 | − | 2.10481i | −0.135854 | − | 0.0720252i | ||||
\(855\) | −0.439565 | − | 0.818287i | −0.0150328 | − | 0.0279848i | ||||
\(856\) | −53.1415 | − | 2.88125i | −1.81634 | − | 0.0984791i | ||||
\(857\) | −23.2017 | + | 43.7631i | −0.792555 | + | 1.49492i | 0.0747841 | + | 0.997200i | \(0.476173\pi\) |
−0.867339 | + | 0.497718i | \(0.834172\pi\) | |||||||
\(858\) | −4.13134 | + | 16.8081i | −0.141042 | + | 0.573821i | ||||
\(859\) | 10.4314 | − | 13.7223i | 0.355916 | − | 0.468199i | −0.582937 | − | 0.812517i | \(-0.698097\pi\) |
0.938853 | + | 0.344318i | \(0.111890\pi\) | |||||||
\(860\) | −0.0947446 | + | 0.0720229i | −0.00323076 | + | 0.00245596i | ||||
\(861\) | 1.51169 | − | 1.51996i | 0.0515181 | − | 0.0518000i | ||||
\(862\) | 13.1365 | + | 12.4435i | 0.447431 | + | 0.423829i | ||||
\(863\) | −5.13678 | + | 31.3329i | −0.174858 | + | 1.06659i | 0.742887 | + | 0.669416i | \(0.233456\pi\) |
−0.917745 | + | 0.397169i | \(0.869993\pi\) | |||||||
\(864\) | 0.260935 | − | 0.169811i | 0.00887720 | − | 0.00577707i | ||||
\(865\) | −5.17587 | − | 11.1875i | −0.175985 | − | 0.380385i | ||||
\(866\) | −17.2531 | − | 32.5427i | −0.586283 | − | 1.10585i | ||||
\(867\) | −5.38140 | − | 21.3897i | −0.182762 | − | 0.726434i | ||||
\(868\) | 0.0897356 | − | 0.0608423i | 0.00304583 | − | 0.00206512i | ||||
\(869\) | 30.2051 | − | 6.64863i | 1.02464 | − | 0.225539i | ||||
\(870\) | −3.57360 | + | 5.00383i | −0.121156 | + | 0.169646i | ||||
\(871\) | −21.9496 | − | 13.2066i | −0.743734 | − | 0.447490i | ||||
\(872\) | −12.7619 | − | 10.8400i | −0.432171 | − | 0.367089i | ||||
\(873\) | −18.1612 | + | 4.10160i | −0.614664 | + | 0.138818i | ||||
\(874\) | 1.29156 | + | 0.284293i | 0.0436876 | + | 0.00961636i | ||||
\(875\) | −15.8700 | + | 6.32318i | −0.536504 | + | 0.213763i | ||||
\(876\) | −0.0315296 | − | 0.161928i | −0.00106529 | − | 0.00547105i | ||||
\(877\) | −0.273428 | − | 1.66784i | −0.00923301 | − | 0.0563189i | 0.981808 | − | 0.189876i | \(-0.0608085\pi\) |
−0.991041 | + | 0.133557i | \(0.957360\pi\) | |||||||
\(878\) | −8.60500 | + | 12.6914i | −0.290405 | + | 0.428315i | ||||
\(879\) | 3.40213 | − | 2.75002i | 0.114751 | − | 0.0927558i | ||||
\(880\) | 7.37049 | + | 21.8748i | 0.248459 | + | 0.737401i | ||||
\(881\) | −29.4617 | + | 3.20416i | −0.992591 | + | 0.107951i | −0.589978 | − | 0.807420i | \(-0.700863\pi\) |
−0.402613 | + | 0.915370i | \(0.631898\pi\) | |||||||
\(882\) | 2.23841 | + | 19.5870i | 0.0753713 | + | 0.659527i | ||||
\(883\) | 2.22885 | + | 41.1087i | 0.0750067 | + | 1.38342i | 0.757648 | + | 0.652664i | \(0.226349\pi\) |
−0.682641 | + | 0.730754i | \(0.739169\pi\) | |||||||
\(884\) | −0.0366622 | −0.00123308 | ||||||||
\(885\) | −15.9730 | + | 8.64424i | −0.536925 | + | 0.290573i | ||||
\(886\) | −3.78735 | −0.127239 | ||||||||
\(887\) | 2.05779 | + | 37.9537i | 0.0690938 | + | 1.27436i | 0.803358 | + | 0.595496i | \(0.203044\pi\) |
−0.734265 | + | 0.678863i | \(0.762473\pi\) | |||||||
\(888\) | −26.6209 | − | 36.8484i | −0.893339 | − | 1.23655i | ||||
\(889\) | 9.27172 | − | 1.00836i | 0.310963 | − | 0.0338193i | ||||
\(890\) | 1.58644 | + | 4.70839i | 0.0531777 | + | 0.157826i | ||||
\(891\) | 24.8143 | + | 28.5757i | 0.831309 | + | 0.957321i | ||||
\(892\) | −0.0964120 | + | 0.142197i | −0.00322811 | + | 0.00476111i | ||||
\(893\) | −0.176716 | − | 1.07792i | −0.00591357 | − | 0.0360712i | ||||
\(894\) | −32.9143 | + | 6.40885i | −1.10082 | + | 0.214344i | ||||
\(895\) | 2.08533 | − | 0.830873i | 0.0697050 | − | 0.0277730i | ||||
\(896\) | 17.1277 | + | 3.77008i | 0.572195 | + | 0.125950i | ||||
\(897\) | −7.99541 | − | 8.86334i | −0.266959 | − | 0.295938i | ||||
\(898\) | −35.9229 | − | 30.5131i | −1.19876 | − | 1.01824i | ||||
\(899\) | −10.4588 | − | 6.29283i | −0.348819 | − | 0.209878i | ||||
\(900\) | 0.0423382 | + | 0.0902176i | 0.00141127 | + | 0.00300725i | ||||
\(901\) | −14.2163 | + | 3.12924i | −0.473614 | + | 0.104250i | ||||
\(902\) | 3.97143 | − | 2.69270i | 0.132234 | − | 0.0896570i | ||||
\(903\) | −21.2642 | + | 5.34981i | −0.707628 | + | 0.178031i | ||||
\(904\) | 13.4299 | + | 25.3314i | 0.446671 | + | 0.842510i | ||||
\(905\) | 0.156389 | + | 0.338029i | 0.00519854 | + | 0.0112365i | ||||
\(906\) | −48.2489 | + | 1.43877i | −1.60296 | + | 0.0477999i | ||||
\(907\) | 5.54655 | − | 33.8324i | 0.184170 | − | 1.12339i | −0.719288 | − | 0.694712i | \(-0.755532\pi\) |
0.903458 | − | 0.428676i | \(-0.141020\pi\) | |||||||
\(908\) | −0.224979 | − | 0.213111i | −0.00746619 | − | 0.00707235i | ||||
\(909\) | −22.1251 | + | 6.27322i | −0.733842 | + | 0.208070i | ||||
\(910\) | 3.97213 | − | 3.01954i | 0.131675 | − | 0.100097i | ||||
\(911\) | 14.5519 | − | 19.1427i | 0.482125 | − | 0.634224i | −0.489146 | − | 0.872202i | \(-0.662691\pi\) |
0.971271 | + | 0.237978i | \(0.0764845\pi\) | |||||||
\(912\) | −1.53399 | − | 0.377047i | −0.0507956 | − | 0.0124853i | ||||
\(913\) | −32.3694 | + | 61.0551i | −1.07127 | + | 2.02063i | ||||
\(914\) | −10.0210 | − | 0.543322i | −0.331465 | − | 0.0179715i | ||||
\(915\) | −4.11215 | − | 2.61266i | −0.135943 | − | 0.0863718i | ||||
\(916\) | 0.237857 | + | 0.126104i | 0.00785903 | + | 0.00416659i | ||||
\(917\) | 2.70217 | + | 9.73235i | 0.0892337 | + | 0.321391i | ||||
\(918\) | −8.77635 | + | 12.4317i | −0.289663 | + | 0.410308i | ||||
\(919\) | 20.2931 | + | 26.6951i | 0.669407 | + | 0.880590i | 0.997957 | − | 0.0638965i | \(-0.0203527\pi\) |
−0.328549 | + | 0.944487i | \(0.606560\pi\) | |||||||
\(920\) | −15.2582 | − | 4.23642i | −0.503048 | − | 0.139671i | ||||
\(921\) | 21.5520 | − | 6.68187i | 0.710162 | − | 0.220175i | ||||
\(922\) | −32.4015 | − | 5.31195i | −1.06709 | − | 0.174940i | ||||
\(923\) | 10.5939 | − | 6.37415i | 0.348703 | − | 0.209808i | ||||
\(924\) | 0.00930668 | − | 0.118283i | 0.000306167 | − | 0.00389121i | ||||
\(925\) | 25.7817 | − | 13.6686i | 0.847699 | − | 0.449421i | ||||
\(926\) | 12.4557 | + | 13.1493i | 0.409319 | + | 0.432113i | ||||
\(927\) | 54.2063 | + | 24.7203i | 1.78037 | + | 0.811922i | ||||
\(928\) | 0.0236215 | + | 0.107314i | 0.000775414 | + | 0.00352274i | ||||
\(929\) | −54.3081 | − | 5.90636i | −1.78179 | − | 0.193781i | −0.842917 | − | 0.538044i | \(-0.819163\pi\) |
−0.938873 | + | 0.344263i | \(0.888129\pi\) | |||||||
\(930\) | 19.3942 | − | 11.0350i | 0.635962 | − | 0.361850i | ||||
\(931\) | 0.680494 | − | 0.801140i | 0.0223023 | − | 0.0262563i | ||||
\(932\) | −0.00789846 | − | 0.00266130i | −0.000258723 | − | 8.71739e-5i | ||||
\(933\) | 33.5082 | + | 29.8970i | 1.09701 | + | 0.978783i | ||||
\(934\) | −16.4213 | − | 41.2145i | −0.537323 | − | 1.34858i | ||||
\(935\) | −7.67568 | − | 9.03651i | −0.251022 | − | 0.295525i | ||||
\(936\) | 9.24066 | + | 10.7594i | 0.302041 | + | 0.351682i | ||||
\(937\) | 22.5511 | + | 15.2900i | 0.736713 | + | 0.499504i | 0.870905 | − | 0.491452i | \(-0.163534\pi\) |
−0.134192 | + | 0.990955i | \(0.542844\pi\) | |||||||
\(938\) | 30.9663 | + | 12.3381i | 1.01109 | + | 0.402854i | ||||
\(939\) | −20.9416 | − | 3.95914i | −0.683404 | − | 0.129202i | ||||
\(940\) | −0.00752880 | − | 0.0692262i | −0.000245562 | − | 0.00225791i | ||||
\(941\) | −22.8759 | − | 10.5835i | −0.745734 | − | 0.345013i | 0.00994906 | − | 0.999951i | \(-0.496833\pi\) |
−0.755683 | + | 0.654937i | \(0.772695\pi\) | |||||||
\(942\) | 12.5860 | − | 25.5523i | 0.410075 | − | 0.832539i | ||||
\(943\) | 3.30908i | 0.107758i | ||||||||
\(944\) | −7.27921 | + | 30.0164i | −0.236918 | + | 0.976951i | ||||
\(945\) | −0.384682 | − | 10.9031i | −0.0125137 | − | 0.354679i | ||||
\(946\) | −49.0066 | + | 2.65706i | −1.59334 | + | 0.0863884i | ||||
\(947\) | 19.0382 | − | 41.1504i | 0.618658 | − | 1.33721i | −0.304398 | − | 0.952545i | \(-0.598455\pi\) |
0.923057 | − | 0.384664i | \(-0.125683\pi\) | |||||||
\(948\) | −0.0529791 | + | 0.124091i | −0.00172068 | + | 0.00403027i | ||||
\(949\) | 14.2820 | − | 4.81217i | 0.463614 | − | 0.156210i | ||||
\(950\) | 0.373350 | − | 0.937037i | 0.0121131 | − | 0.0304015i | ||||
\(951\) | 20.7140 | − | 10.3437i | 0.671697 | − | 0.335417i | ||||
\(952\) | −8.84278 | + | 1.44970i | −0.286596 | + | 0.0469851i | ||||
\(953\) | 17.6908 | − | 15.0267i | 0.573061 | − | 0.486763i | −0.313365 | − | 0.949633i | \(-0.601456\pi\) |
0.886426 | + | 0.462870i | \(0.153180\pi\) | |||||||
\(954\) | −23.9662 | − | 18.0132i | −0.775935 | − | 0.583198i | ||||
\(955\) | 5.38760 | − | 24.4761i | 0.174339 | − | 0.792028i | ||||
\(956\) | 0.0371581 | − | 0.110281i | 0.00120178 | − | 0.00356675i | ||||
\(957\) | −12.5258 | + | 4.64058i | −0.404902 | + | 0.150009i | ||||
\(958\) | −10.7624 | + | 17.8873i | −0.347718 | + | 0.577912i | ||||
\(959\) | 2.66003 | − | 24.4586i | 0.0858968 | − | 0.789808i | ||||
\(960\) | 18.0009 | + | 5.47345i | 0.580978 | + | 0.176655i | ||||
\(961\) | 7.46062 | + | 11.0036i | 0.240665 | + | 0.354954i | ||||
\(962\) | −16.0518 | + | 15.2051i | −0.517530 | + | 0.490231i | ||||
\(963\) | 48.6555 | + | 28.9146i | 1.56790 | + | 0.931761i | ||||
\(964\) | 0.100772 | − | 0.0466219i | 0.00324563 | − | 0.00150159i | ||||
\(965\) | 12.5815 | + | 20.9105i | 0.405011 | + | 0.673134i | ||||
\(966\) | 12.1330 | + | 9.69844i | 0.390374 | + | 0.312042i | ||||
\(967\) | 7.16987 | − | 7.56914i | 0.230567 | − | 0.243407i | −0.600438 | − | 0.799671i | \(-0.705007\pi\) |
0.831006 | + | 0.556264i | \(0.187766\pi\) | |||||||
\(968\) | −5.04338 | + | 18.1646i | −0.162100 | + | 0.583832i | ||||
\(969\) | 0.803642 | − | 0.111728i | 0.0258167 | − | 0.00358922i | ||||
\(970\) | 9.56376 | + | 7.27018i | 0.307074 | + | 0.233431i | ||||
\(971\) | 3.80836 | − | 1.05739i | 0.122216 | − | 0.0339331i | −0.205882 | − | 0.978577i | \(-0.566006\pi\) |
0.328098 | + | 0.944644i | \(0.393592\pi\) | |||||||
\(972\) | −0.164364 | + | 0.0156433i | −0.00527197 | + | 0.000501758i | ||||
\(973\) | −0.0463915 | + | 0.855642i | −0.00148724 | + | 0.0274306i | ||||
\(974\) | 0.259011 | − | 4.77718i | 0.00829925 | − | 0.153071i | ||||
\(975\) | −7.65777 | + | 4.92423i | −0.245245 | + | 0.157701i | ||||
\(976\) | −7.98325 | + | 2.21654i | −0.255538 | + | 0.0709497i | ||||
\(977\) | 25.2707 | + | 19.2103i | 0.808481 | + | 0.614591i | 0.925590 | − | 0.378528i | \(-0.123570\pi\) |
−0.117109 | + | 0.993119i | \(0.537363\pi\) | |||||||
\(978\) | 0.935355 | + | 6.72786i | 0.0299094 | + | 0.215133i | ||||
\(979\) | −2.88756 | + | 10.4001i | −0.0922868 | + | 0.332387i | ||||
\(980\) | 0.0460827 | − | 0.0486489i | 0.00147206 | − | 0.00155403i | ||||
\(981\) | 6.68138 | + | 16.5065i | 0.213320 | + | 0.527012i | ||||
\(982\) | −6.56512 | − | 10.9113i | −0.209501 | − | 0.348194i | ||||
\(983\) | −2.37484 | + | 1.09872i | −0.0757455 | + | 0.0350436i | −0.457396 | − | 0.889263i | \(-0.651218\pi\) |
0.381651 | + | 0.924307i | \(0.375356\pi\) | |||||||
\(984\) | 0.0957468 | − | 3.93060i | 0.00305230 | − | 0.125303i | ||||
\(985\) | 3.70212 | − | 3.50683i | 0.117959 | − | 0.111737i | ||||
\(986\) | −3.01416 | − | 4.44556i | −0.0959905 | − | 0.141575i | ||||
\(987\) | 3.73227 | − | 12.2746i | 0.118800 | − | 0.390705i | ||||
\(988\) | −0.000435292 | 0.00400244i | −1.38485e−5 | 0.000127335i | ||||||
\(989\) | 17.4499 | − | 29.0020i | 0.554875 | − | 0.922209i | ||||
\(990\) | 3.81909 | − | 24.1190i | 0.121379 | − | 0.766553i | ||||
\(991\) | 8.69005 | − | 25.7911i | 0.276048 | − | 0.819282i | −0.716517 | − | 0.697570i | \(-0.754265\pi\) |
0.992565 | − | 0.121713i | \(-0.0388387\pi\) | |||||||
\(992\) | 0.0857204 | − | 0.389432i | 0.00272162 | − | 0.0123645i | ||||
\(993\) | −38.7549 | − | 5.17259i | −1.22985 | − | 0.164147i | ||||
\(994\) | −12.2620 | + | 10.4155i | −0.388928 | + | 0.330358i | ||||
\(995\) | −20.3471 | + | 3.33573i | −0.645046 | + | 0.105750i | ||||
\(996\) | −0.134686 | − | 0.269718i | −0.00426769 | − | 0.00854635i | ||||
\(997\) | 6.79459 | − | 17.0531i | 0.215187 | − | 0.540078i | −0.781269 | − | 0.624194i | \(-0.785427\pi\) |
0.996456 | + | 0.0841163i | \(0.0268067\pi\) | |||||||
\(998\) | −18.0815 | + | 6.09237i | −0.572360 | + | 0.192851i | ||||
\(999\) | 6.91840 | + | 47.8474i | 0.218888 | + | 1.51382i |
(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 | 177.2.f.a.89.13 | yes | 504 | |
3.2 | odd | 2 | inner | 177.2.f.a.89.6 | yes | 504 | |
59.2 | odd | 58 | inner | 177.2.f.a.2.6 | ✓ | 504 | |
177.2 | even | 58 | inner | 177.2.f.a.2.13 | yes | 504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.f.a.2.6 | ✓ | 504 | 59.2 | odd | 58 | inner | |
177.2.f.a.2.13 | yes | 504 | 177.2 | even | 58 | inner | |
177.2.f.a.89.6 | yes | 504 | 3.2 | odd | 2 | inner | |
177.2.f.a.89.13 | yes | 504 | 1.1 | even | 1 | trivial |