Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(10,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bf (of order \(66\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 388.27 | ||
Character | \(\chi\) | \(=\) | 483.388 |
Dual form | 483.2.bf.a.61.27 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{5}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.54285 | − | 1.21331i | 1.09096 | − | 0.857939i | 0.100388 | − | 0.994948i | \(-0.467992\pi\) |
0.990570 | + | 0.137010i | \(0.0437492\pi\) | |||||||
\(3\) | −0.814576 | + | 0.580057i | −0.470296 | + | 0.334896i | ||||
\(4\) | 0.436742 | − | 1.80028i | 0.218371 | − | 0.900138i | ||||
\(5\) | −4.04503 | − | 0.779615i | −1.80899 | − | 0.348655i | −0.830834 | − | 0.556520i | \(-0.812136\pi\) |
−0.978157 | + | 0.207866i | \(0.933348\pi\) | |||||||
\(6\) | −0.552978 | + | 1.88327i | −0.225752 | + | 0.768842i | ||||
\(7\) | 0.0404792 | + | 2.64544i | 0.0152997 | + | 0.999883i | ||||
\(8\) | 0.120271 | + | 0.263357i | 0.0425223 | + | 0.0931108i | ||||
\(9\) | 0.327068 | − | 0.945001i | 0.109023 | − | 0.315000i | ||||
\(10\) | −7.18677 | + | 3.70504i | −2.27266 | + | 1.17164i | ||||
\(11\) | −3.14530 | + | 3.99958i | −0.948344 | + | 1.20592i | 0.0301297 | + | 0.999546i | \(0.490408\pi\) |
−0.978474 | + | 0.206371i | \(0.933834\pi\) | |||||||
\(12\) | 0.688503 | + | 1.71980i | 0.198754 | + | 0.496462i | ||||
\(13\) | 0.309335 | − | 0.481334i | 0.0857940 | − | 0.133498i | −0.795704 | − | 0.605685i | \(-0.792899\pi\) |
0.881498 | + | 0.472187i | \(0.156535\pi\) | |||||||
\(14\) | 3.27219 | + | 4.03240i | 0.874529 | + | 1.07770i | ||||
\(15\) | 3.74720 | − | 1.71129i | 0.967524 | − | 0.441853i | ||||
\(16\) | 3.79822 | + | 1.95812i | 0.949555 | + | 0.489529i | ||||
\(17\) | −2.05258 | + | 1.95713i | −0.497824 | + | 0.474674i | −0.896893 | − | 0.442247i | \(-0.854182\pi\) |
0.399070 | + | 0.916920i | \(0.369333\pi\) | |||||||
\(18\) | −0.641962 | − | 1.85483i | −0.151312 | − | 0.437187i | ||||
\(19\) | −3.00021 | − | 2.86069i | −0.688295 | − | 0.656288i | 0.262920 | − | 0.964818i | \(-0.415315\pi\) |
−0.951215 | + | 0.308530i | \(0.900163\pi\) | |||||||
\(20\) | −3.17016 | + | 6.94167i | −0.708869 | + | 1.55221i | ||||
\(21\) | −1.56748 | − | 2.13143i | −0.342052 | − | 0.465117i | ||||
\(22\) | 9.98695i | 2.12923i | ||||||||
\(23\) | −4.78074 | + | 0.380220i | −0.996852 | + | 0.0792814i | ||||
\(24\) | −0.250732 | − | 0.144760i | −0.0511805 | − | 0.0295490i | ||||
\(25\) | 11.1126 | + | 4.44882i | 2.22252 | + | 0.889764i | ||||
\(26\) | −0.106751 | − | 1.11794i | −0.0209355 | − | 0.219247i | ||||
\(27\) | 0.281733 | + | 0.959493i | 0.0542195 | + | 0.184655i | ||||
\(28\) | 4.78020 | + | 1.08250i | 0.903373 | + | 0.204574i | ||||
\(29\) | −1.31746 | − | 0.386842i | −0.244647 | − | 0.0718348i | 0.157110 | − | 0.987581i | \(-0.449782\pi\) |
−0.401757 | + | 0.915746i | \(0.631600\pi\) | |||||||
\(30\) | 3.70504 | − | 7.18677i | 0.676445 | − | 1.31212i | ||||
\(31\) | 0.329319 | − | 3.44879i | 0.0591475 | − | 0.619420i | −0.916494 | − | 0.400049i | \(-0.868993\pi\) |
0.975641 | − | 0.219372i | \(-0.0704007\pi\) | |||||||
\(32\) | 7.66730 | − | 1.47775i | 1.35540 | − | 0.261232i | ||||
\(33\) | 0.242105 | − | 5.08241i | 0.0421451 | − | 0.884734i | ||||
\(34\) | −0.792213 | + | 5.50996i | −0.135863 | + | 0.944951i | ||||
\(35\) | 1.89869 | − | 10.7324i | 0.320937 | − | 1.81411i | ||||
\(36\) | −1.55842 | − | 1.00153i | −0.259736 | − | 0.166922i | ||||
\(37\) | 7.06231 | + | 2.44429i | 1.16104 | + | 0.401839i | 0.838598 | − | 0.544751i | \(-0.183376\pi\) |
0.322440 | + | 0.946590i | \(0.395497\pi\) | |||||||
\(38\) | −8.09977 | − | 0.773434i | −1.31396 | − | 0.125468i | ||||
\(39\) | 0.0272246 | + | 0.571515i | 0.00435943 | + | 0.0915156i | ||||
\(40\) | −0.281183 | − | 1.15905i | −0.0444589 | − | 0.183262i | ||||
\(41\) | 5.88229 | + | 5.09703i | 0.918660 | + | 0.796023i | 0.979358 | − | 0.202133i | \(-0.0647874\pi\) |
−0.0606985 | + | 0.998156i | \(0.519333\pi\) | |||||||
\(42\) | −5.00447 | − | 1.38664i | −0.772206 | − | 0.213963i | ||||
\(43\) | −10.9164 | − | 4.98535i | −1.66473 | − | 0.760258i | −0.999912 | − | 0.0132556i | \(-0.995780\pi\) |
−0.664821 | − | 0.747003i | \(-0.731492\pi\) | |||||||
\(44\) | 5.82665 | + | 7.40919i | 0.878401 | + | 1.11698i | ||||
\(45\) | −2.05974 | + | 3.56757i | −0.307047 | + | 0.531822i | ||||
\(46\) | −6.91462 | + | 6.38713i | −1.01951 | + | 0.941731i | ||||
\(47\) | −10.5973 | + | 6.11834i | −1.54577 | + | 0.892452i | −0.547315 | + | 0.836927i | \(0.684350\pi\) |
−0.998457 | + | 0.0555257i | \(0.982317\pi\) | |||||||
\(48\) | −4.22976 | + | 0.608147i | −0.610513 | + | 0.0877785i | ||||
\(49\) | −6.99672 | + | 0.214171i | −0.999532 | + | 0.0305958i | ||||
\(50\) | 22.5428 | − | 6.61918i | 3.18804 | − | 0.936093i | ||||
\(51\) | 0.536735 | − | 2.78484i | 0.0751579 | − | 0.389956i | ||||
\(52\) | −0.731435 | − | 0.767107i | −0.101432 | − | 0.106379i | ||||
\(53\) | −1.07359 | + | 0.0511416i | −0.147469 | + | 0.00702484i | −0.121187 | − | 0.992630i | \(-0.538670\pi\) |
−0.0262826 | + | 0.999655i | \(0.508367\pi\) | |||||||
\(54\) | 1.59883 | + | 1.13852i | 0.217573 | + | 0.154933i | ||||
\(55\) | 15.8410 | − | 13.7263i | 2.13599 | − | 1.85085i | ||||
\(56\) | −0.691827 | + | 0.328831i | −0.0924493 | + | 0.0439418i | ||||
\(57\) | 4.10326 | + | 0.589960i | 0.543490 | + | 0.0781421i | ||||
\(58\) | −2.50200 | + | 1.00165i | −0.328529 | + | 0.131523i | ||||
\(59\) | −0.353243 | − | 0.685195i | −0.0459883 | − | 0.0892048i | 0.864722 | − | 0.502252i | \(-0.167495\pi\) |
−0.910710 | + | 0.413047i | \(0.864465\pi\) | |||||||
\(60\) | −1.44423 | − | 7.49339i | −0.186450 | − | 0.967393i | ||||
\(61\) | −2.47874 | + | 3.48090i | −0.317370 | + | 0.445684i | −0.942187 | − | 0.335088i | \(-0.891234\pi\) |
0.624817 | + | 0.780771i | \(0.285174\pi\) | |||||||
\(62\) | −3.67635 | − | 5.72052i | −0.466897 | − | 0.726506i | ||||
\(63\) | 2.51318 | + | 0.826986i | 0.316631 | + | 0.104190i | ||||
\(64\) | 4.43973 | − | 5.12372i | 0.554966 | − | 0.640465i | ||||
\(65\) | −1.62652 | + | 1.70585i | −0.201745 | + | 0.211584i | ||||
\(66\) | −5.79300 | − | 8.13513i | −0.713069 | − | 1.00137i | ||||
\(67\) | 3.80318 | − | 9.49990i | 0.464633 | − | 1.16060i | −0.492336 | − | 0.870405i | \(-0.663857\pi\) |
0.956969 | − | 0.290192i | \(-0.0937190\pi\) | |||||||
\(68\) | 2.62693 | + | 4.54997i | 0.318562 | + | 0.551765i | ||||
\(69\) | 3.67372 | − | 3.08282i | 0.442264 | − | 0.371128i | ||||
\(70\) | −10.0924 | − | 18.8622i | −1.20627 | − | 2.25447i | ||||
\(71\) | −0.213781 | − | 1.48688i | −0.0253712 | − | 0.176461i | 0.973196 | − | 0.229979i | \(-0.0738656\pi\) |
−0.998567 | + | 0.0535181i | \(0.982957\pi\) | |||||||
\(72\) | 0.288209 | − | 0.0275207i | 0.0339658 | − | 0.00324334i | ||||
\(73\) | 8.43795 | + | 2.04702i | 0.987587 | + | 0.239586i | 0.696850 | − | 0.717217i | \(-0.254584\pi\) |
0.290737 | + | 0.956803i | \(0.406100\pi\) | |||||||
\(74\) | 13.8617 | − | 4.79760i | 1.61140 | − | 0.557709i | ||||
\(75\) | −11.6326 | + | 2.82205i | −1.34322 | + | 0.325862i | ||||
\(76\) | −6.46035 | + | 4.15182i | −0.741053 | + | 0.476246i | ||||
\(77\) | −10.7080 | − | 8.15881i | −1.22029 | − | 0.929783i | ||||
\(78\) | 0.735427 | + | 0.848728i | 0.0832707 | + | 0.0960996i | ||||
\(79\) | −0.678582 | − | 0.0323248i | −0.0763464 | − | 0.00363683i | 0.00937394 | − | 0.999956i | \(-0.497016\pi\) |
−0.0857204 | + | 0.996319i | \(0.527319\pi\) | |||||||
\(80\) | −13.8373 | − | 10.8818i | −1.54706 | − | 1.21662i | ||||
\(81\) | −0.786053 | − | 0.618159i | −0.0873392 | − | 0.0686843i | ||||
\(82\) | 15.2597 | + | 0.726911i | 1.68516 | + | 0.0802739i | ||||
\(83\) | 5.76772 | + | 6.65630i | 0.633089 | + | 0.730624i | 0.978137 | − | 0.207961i | \(-0.0666828\pi\) |
−0.345048 | + | 0.938585i | \(0.612137\pi\) | |||||||
\(84\) | −4.52175 | + | 1.89101i | −0.493364 | + | 0.206326i | ||||
\(85\) | 9.82855 | − | 6.31642i | 1.06606 | − | 0.685112i | ||||
\(86\) | −22.8911 | + | 5.55332i | −2.46841 | + | 0.598829i | ||||
\(87\) | 1.29756 | − | 0.449091i | 0.139113 | − | 0.0481476i | ||||
\(88\) | −1.43161 | − | 0.347304i | −0.152610 | − | 0.0370227i | ||||
\(89\) | 16.5538 | − | 1.58070i | 1.75470 | − | 0.167554i | 0.832439 | − | 0.554116i | \(-0.186944\pi\) |
0.922263 | + | 0.386562i | \(0.126338\pi\) | |||||||
\(90\) | 1.15070 | + | 8.00331i | 0.121295 | + | 0.843623i | ||||
\(91\) | 1.28586 | + | 0.798843i | 0.134795 | + | 0.0837415i | ||||
\(92\) | −1.40345 | + | 8.77270i | −0.146320 | + | 0.914617i | ||||
\(93\) | 1.73224 | + | 3.00032i | 0.179625 | + | 0.311119i | ||||
\(94\) | −8.92655 | + | 22.2974i | −0.920703 | + | 2.29981i | ||||
\(95\) | 9.90569 | + | 13.9106i | 1.01630 | + | 1.42720i | ||||
\(96\) | −5.38842 | + | 5.65121i | −0.549953 | + | 0.576774i | ||||
\(97\) | −9.64755 | + | 11.1339i | −0.979561 | + | 1.13047i | 0.0118820 | + | 0.999929i | \(0.496218\pi\) |
−0.991443 | + | 0.130544i | \(0.958328\pi\) | |||||||
\(98\) | −10.5350 | + | 8.81962i | −1.06420 | + | 0.890916i | ||||
\(99\) | 2.75088 | + | 4.28045i | 0.276473 | + | 0.430201i | ||||
\(100\) | 12.8624 | − | 18.0628i | 1.28624 | − | 1.80628i | ||||
\(101\) | −0.276542 | − | 1.43483i | −0.0275169 | − | 0.142771i | 0.965572 | − | 0.260136i | \(-0.0837674\pi\) |
−0.993089 | + | 0.117365i | \(0.962555\pi\) | |||||||
\(102\) | −2.55077 | − | 4.94781i | −0.252564 | − | 0.489906i | ||||
\(103\) | 6.16186 | − | 2.46684i | 0.607146 | − | 0.243065i | −0.0476576 | − | 0.998864i | \(-0.515176\pi\) |
0.654804 | + | 0.755799i | \(0.272751\pi\) | |||||||
\(104\) | 0.163967 | + | 0.0235749i | 0.0160783 | + | 0.00231170i | ||||
\(105\) | 4.67880 | + | 9.84374i | 0.456604 | + | 0.960650i | ||||
\(106\) | −1.59434 | + | 1.38150i | −0.154856 | + | 0.134184i | ||||
\(107\) | −3.15601 | − | 2.24739i | −0.305103 | − | 0.217263i | 0.417242 | − | 0.908795i | \(-0.362997\pi\) |
−0.722346 | + | 0.691532i | \(0.756936\pi\) | |||||||
\(108\) | 1.85040 | − | 0.0881452i | 0.178054 | − | 0.00848178i | ||||
\(109\) | 7.10887 | + | 7.45557i | 0.680906 | + | 0.714114i | 0.969978 | − | 0.243194i | \(-0.0781950\pi\) |
−0.289072 | + | 0.957307i | \(0.593347\pi\) | |||||||
\(110\) | 7.78598 | − | 40.3975i | 0.742364 | − | 3.85175i | ||||
\(111\) | −7.17062 | + | 2.10548i | −0.680605 | + | 0.199844i | ||||
\(112\) | −5.02634 | + | 10.1272i | −0.474944 | + | 0.956933i | ||||
\(113\) | 10.3353 | − | 1.48599i | 0.972260 | − | 0.139790i | 0.362161 | − | 0.932115i | \(-0.382039\pi\) |
0.610099 | + | 0.792326i | \(0.291130\pi\) | |||||||
\(114\) | 7.04651 | − | 4.06830i | 0.659966 | − | 0.381032i | ||||
\(115\) | 19.6346 | + | 2.18913i | 1.83094 | + | 0.204138i | ||||
\(116\) | −1.27181 | + | 2.20285i | −0.118085 | + | 0.204529i | ||||
\(117\) | −0.353688 | − | 0.449751i | −0.0326984 | − | 0.0415794i | ||||
\(118\) | −1.37635 | − | 0.628559i | −0.126704 | − | 0.0578636i | ||||
\(119\) | −5.26056 | − | 5.35075i | −0.482235 | − | 0.490503i | ||||
\(120\) | 0.901361 | + | 0.781033i | 0.0822826 | + | 0.0712983i | ||||
\(121\) | −3.51034 | − | 14.4698i | −0.319122 | − | 1.31544i | ||||
\(122\) | 0.399092 | + | 8.37797i | 0.0361321 | + | 0.758506i | ||||
\(123\) | −7.74814 | − | 0.739858i | −0.698626 | − | 0.0667107i | ||||
\(124\) | −6.06494 | − | 2.09910i | −0.544648 | − | 0.188504i | ||||
\(125\) | −24.1549 | − | 15.5234i | −2.16048 | − | 1.38845i | ||||
\(126\) | 4.88085 | − | 1.77335i | 0.434821 | − | 0.157983i | ||||
\(127\) | −2.27503 | + | 15.8232i | −0.201877 | + | 1.40408i | 0.596832 | + | 0.802366i | \(0.296426\pi\) |
−0.798709 | + | 0.601717i | \(0.794483\pi\) | |||||||
\(128\) | −0.109908 | + | 2.30725i | −0.00971456 | + | 0.203934i | ||||
\(129\) | 11.7840 | − | 2.27118i | 1.03752 | − | 0.199966i | ||||
\(130\) | −0.439756 | + | 4.60534i | −0.0385692 | + | 0.403915i | ||||
\(131\) | 2.79273 | − | 5.41714i | 0.244002 | − | 0.473298i | −0.734752 | − | 0.678336i | \(-0.762701\pi\) |
0.978754 | + | 0.205038i | \(0.0657317\pi\) | |||||||
\(132\) | −9.04400 | − | 2.65556i | −0.787180 | − | 0.231137i | ||||
\(133\) | 7.44635 | − | 8.05267i | 0.645680 | − | 0.698255i | ||||
\(134\) | −5.65857 | − | 19.2713i | −0.488826 | − | 1.66479i | ||||
\(135\) | −0.391581 | − | 4.10082i | −0.0337019 | − | 0.352942i | ||||
\(136\) | −0.762290 | − | 0.305175i | −0.0653658 | − | 0.0261685i | ||||
\(137\) | 5.82148 | + | 3.36104i | 0.497363 | + | 0.287153i | 0.727624 | − | 0.685976i | \(-0.240625\pi\) |
−0.230261 | + | 0.973129i | \(0.573958\pi\) | |||||||
\(138\) | 1.92758 | − | 9.21367i | 0.164087 | − | 0.784320i | ||||
\(139\) | 15.4918i | 1.31400i | 0.753893 | + | 0.656998i | \(0.228174\pi\) | ||||
−0.753893 | + | 0.656998i | \(0.771826\pi\) | |||||||
\(140\) | −18.4921 | − | 8.10547i | −1.56287 | − | 0.685037i | ||||
\(141\) | 5.08330 | − | 11.1309i | 0.428091 | − | 0.937389i | ||||
\(142\) | −2.13388 | − | 2.03465i | −0.179071 | − | 0.170744i | ||||
\(143\) | 0.952182 | + | 2.75115i | 0.0796254 | + | 0.230063i | ||||
\(144\) | 3.09270 | − | 2.94888i | 0.257725 | − | 0.245740i | ||||
\(145\) | 5.02759 | + | 2.59190i | 0.417518 | + | 0.215246i | ||||
\(146\) | 15.5021 | − | 7.07959i | 1.28297 | − | 0.585911i | ||||
\(147\) | 5.57513 | − | 4.23296i | 0.459829 | − | 0.349128i | ||||
\(148\) | 7.48481 | − | 11.6466i | 0.615247 | − | 0.957344i | ||||
\(149\) | −0.267401 | − | 0.667934i | −0.0219063 | − | 0.0547193i | 0.917012 | − | 0.398861i | \(-0.130594\pi\) |
−0.938918 | + | 0.344141i | \(0.888170\pi\) | |||||||
\(150\) | −14.5234 | + | 18.4680i | −1.18583 | + | 1.50790i | ||||
\(151\) | −13.1672 | + | 6.78814i | −1.07153 | + | 0.552411i | −0.901390 | − | 0.433009i | \(-0.857452\pi\) |
−0.170139 | + | 0.985420i | \(0.554422\pi\) | |||||||
\(152\) | 0.392545 | − | 1.13418i | 0.0318396 | − | 0.0919945i | ||||
\(153\) | 1.17816 | + | 2.57980i | 0.0952483 | + | 0.208565i | ||||
\(154\) | −26.4199 | + | 0.404264i | −2.12898 | + | 0.0325765i | ||||
\(155\) | −4.02083 | + | 13.6937i | −0.322961 | + | 1.09990i | ||||
\(156\) | 1.04077 | + | 0.200593i | 0.0833287 | + | 0.0160603i | ||||
\(157\) | −2.90814 | + | 11.9875i | −0.232095 | + | 0.956709i | 0.729881 | + | 0.683574i | \(0.239575\pi\) |
−0.961976 | + | 0.273134i | \(0.911940\pi\) | |||||||
\(158\) | −1.08617 | + | 0.773457i | −0.0864109 | + | 0.0615329i | ||||
\(159\) | 0.844859 | − | 0.664404i | 0.0670017 | − | 0.0526907i | ||||
\(160\) | −32.1665 | −2.54299 | ||||||||
\(161\) | −1.19937 | − | 12.6318i | −0.0945237 | − | 0.995523i | ||||
\(162\) | −1.96278 | −0.154210 | ||||||||
\(163\) | 0.759239 | − | 0.597072i | 0.0594682 | − | 0.0467663i | −0.587982 | − | 0.808874i | \(-0.700078\pi\) |
0.647451 | + | 0.762107i | \(0.275835\pi\) | |||||||
\(164\) | 11.7451 | − | 8.36366i | 0.917139 | − | 0.653092i | ||||
\(165\) | −4.94165 | + | 20.3697i | −0.384707 | + | 1.58578i | ||||
\(166\) | 16.9748 | + | 3.27163i | 1.31750 | + | 0.253928i | ||||
\(167\) | −2.87636 | + | 9.79597i | −0.222579 | + | 0.758035i | 0.770171 | + | 0.637838i | \(0.220171\pi\) |
−0.992750 | + | 0.120197i | \(0.961647\pi\) | |||||||
\(168\) | 0.372805 | − | 0.669157i | 0.0287625 | − | 0.0516266i | ||||
\(169\) | 5.26440 | + | 11.5274i | 0.404954 | + | 0.886725i | ||||
\(170\) | 7.50018 | − | 21.6703i | 0.575237 | − | 1.66204i | ||||
\(171\) | −3.68463 | + | 1.89956i | −0.281771 | + | 0.145263i | ||||
\(172\) | −13.7426 | + | 17.4752i | −1.04787 | + | 1.33247i | ||||
\(173\) | −3.18369 | − | 7.95248i | −0.242052 | − | 0.604616i | 0.756742 | − | 0.653713i | \(-0.226790\pi\) |
−0.998794 | + | 0.0490974i | \(0.984366\pi\) | |||||||
\(174\) | 1.45706 | − | 2.26722i | 0.110459 | − | 0.171878i | ||||
\(175\) | −11.3193 | + | 29.5778i | −0.855656 | + | 2.23588i | ||||
\(176\) | −19.7782 | + | 9.03239i | −1.49084 | + | 0.680842i | ||||
\(177\) | 0.685195 | + | 0.353243i | 0.0515024 | + | 0.0265514i | ||||
\(178\) | 23.6222 | − | 22.5237i | 1.77056 | − | 1.68822i | ||||
\(179\) | −5.10953 | − | 14.7630i | −0.381904 | − | 1.10344i | −0.958176 | − | 0.286181i | \(-0.907614\pi\) |
0.576271 | − | 0.817258i | \(-0.304507\pi\) | |||||||
\(180\) | 5.52303 | + | 5.26620i | 0.411662 | + | 0.392519i | ||||
\(181\) | −6.13792 | + | 13.4402i | −0.456228 | + | 0.999000i | 0.532103 | + | 0.846679i | \(0.321402\pi\) |
−0.988331 | + | 0.152320i | \(0.951326\pi\) | |||||||
\(182\) | 2.95313 | − | 0.327656i | 0.218901 | − | 0.0242875i | ||||
\(183\) | − | 4.27327i | − | 0.315889i | ||||||
\(184\) | −0.675118 | − | 1.21331i | −0.0497704 | − | 0.0894464i | ||||
\(185\) | −26.6617 | − | 15.3931i | −1.96020 | − | 1.13172i | ||||
\(186\) | 6.31289 | + | 2.52730i | 0.462884 | + | 0.185311i | ||||
\(187\) | −1.37171 | − | 14.3652i | −0.100309 | − | 1.05049i | ||||
\(188\) | 6.38643 | + | 21.7502i | 0.465778 | + | 1.58629i | ||||
\(189\) | −2.52688 | + | 0.784147i | −0.183803 | + | 0.0570383i | ||||
\(190\) | 32.1608 | + | 9.44326i | 2.33319 | + | 0.685086i | ||||
\(191\) | 2.93839 | − | 5.69968i | 0.212615 | − | 0.412415i | −0.758278 | − | 0.651932i | \(-0.773959\pi\) |
0.970892 | + | 0.239517i | \(0.0769891\pi\) | |||||||
\(192\) | −0.644447 | + | 6.74895i | −0.0465089 | + | 0.487064i | ||||
\(193\) | −7.19516 | + | 1.38675i | −0.517919 | + | 0.0998207i | −0.441511 | − | 0.897256i | \(-0.645557\pi\) |
−0.0764082 | + | 0.997077i | \(0.524345\pi\) | |||||||
\(194\) | −1.37588 | + | 28.8833i | −0.0987826 | + | 2.07370i | ||||
\(195\) | 0.335437 | − | 2.33302i | 0.0240212 | − | 0.167071i | ||||
\(196\) | −2.67020 | + | 12.6896i | −0.190728 | + | 0.906398i | ||||
\(197\) | −11.0046 | − | 7.07225i | −0.784048 | − | 0.503877i | 0.0863271 | − | 0.996267i | \(-0.472487\pi\) |
−0.870375 | + | 0.492390i | \(0.836123\pi\) | |||||||
\(198\) | 9.43768 | + | 3.26641i | 0.670707 | + | 0.232134i | ||||
\(199\) | 10.4855 | + | 1.00124i | 0.743297 | + | 0.0709763i | 0.459832 | − | 0.888006i | \(-0.347910\pi\) |
0.283466 | + | 0.958982i | \(0.408516\pi\) | |||||||
\(200\) | 0.164899 | + | 3.46165i | 0.0116601 | + | 0.244775i | ||||
\(201\) | 2.41250 | + | 9.94445i | 0.170164 | + | 0.701427i | ||||
\(202\) | −2.16756 | − | 1.87820i | −0.152509 | − | 0.132150i | ||||
\(203\) | 0.970038 | − | 3.50093i | 0.0680833 | − | 0.245717i | ||||
\(204\) | −4.77907 | − | 2.18253i | −0.334602 | − | 0.152808i | ||||
\(205\) | −19.8203 | − | 25.2036i | −1.38431 | − | 1.76029i | ||||
\(206\) | 6.51377 | − | 11.2822i | 0.453836 | − | 0.786067i | ||||
\(207\) | −1.20432 | + | 4.64216i | −0.0837058 | + | 0.322652i | ||||
\(208\) | 2.11743 | − | 1.22250i | 0.146817 | − | 0.0847650i | ||||
\(209\) | 20.8781 | − | 3.00182i | 1.44417 | − | 0.207640i | ||||
\(210\) | 19.1622 | + | 9.51055i | 1.32232 | + | 0.656290i | ||||
\(211\) | −18.7581 | + | 5.50786i | −1.29136 | + | 0.379177i | −0.854076 | − | 0.520147i | \(-0.825877\pi\) |
−0.437282 | + | 0.899325i | \(0.644059\pi\) | |||||||
\(212\) | −0.376815 | + | 1.95510i | −0.0258797 | + | 0.134277i | ||||
\(213\) | 1.03662 | + | 1.08717i | 0.0710279 | + | 0.0744919i | ||||
\(214\) | −7.59602 | + | 0.361843i | −0.519253 | + | 0.0247351i | ||||
\(215\) | 40.2704 | + | 28.6764i | 2.74642 | + | 1.95572i | ||||
\(216\) | −0.218805 | + | 0.189596i | −0.0148878 | + | 0.0129003i | ||||
\(217\) | 9.13689 | + | 0.731591i | 0.620253 | + | 0.0496636i | ||||
\(218\) | 20.0138 | + | 2.87755i | 1.35551 | + | 0.194892i | ||||
\(219\) | −8.06074 | + | 3.22703i | −0.544694 | + | 0.218063i | ||||
\(220\) | −17.7927 | − | 34.5129i | −1.19958 | − | 2.32686i | ||||
\(221\) | 0.307100 | + | 1.59338i | 0.0206578 | + | 0.107183i | ||||
\(222\) | −8.50857 | + | 11.9486i | −0.571058 | + | 0.801938i | ||||
\(223\) | 0.252040 | + | 0.392182i | 0.0168779 | + | 0.0262625i | 0.849590 | − | 0.527444i | \(-0.176849\pi\) |
−0.832712 | + | 0.553706i | \(0.813213\pi\) | |||||||
\(224\) | 4.21967 | + | 20.2236i | 0.281938 | + | 1.35124i | ||||
\(225\) | 7.83872 | − | 9.04636i | 0.522581 | − | 0.603091i | ||||
\(226\) | 14.1428 | − | 14.8325i | 0.940763 | − | 0.986644i | ||||
\(227\) | 2.23794 | + | 3.14275i | 0.148537 | + | 0.208591i | 0.882140 | − | 0.470987i | \(-0.156102\pi\) |
−0.733603 | + | 0.679578i | \(0.762163\pi\) | |||||||
\(228\) | 2.85416 | − | 7.12934i | 0.189021 | − | 0.472152i | ||||
\(229\) | −10.1583 | − | 17.5947i | −0.671279 | − | 1.16269i | −0.977542 | − | 0.210742i | \(-0.932412\pi\) |
0.306263 | − | 0.951947i | \(-0.400921\pi\) | |||||||
\(230\) | 32.9493 | − | 20.4454i | 2.17261 | − | 1.34813i | ||||
\(231\) | 13.4550 | + | 0.434743i | 0.885276 | + | 0.0286040i | ||||
\(232\) | −0.0565752 | − | 0.393489i | −0.00371434 | − | 0.0258338i | ||||
\(233\) | −1.72011 | + | 0.164250i | −0.112688 | + | 0.0107604i | −0.151248 | − | 0.988496i | \(-0.548329\pi\) |
0.0385597 | + | 0.999256i | \(0.487723\pi\) | |||||||
\(234\) | −1.09137 | − | 0.264764i | −0.0713452 | − | 0.0173082i | ||||
\(235\) | 47.6363 | − | 16.4871i | 3.10745 | − | 1.07550i | ||||
\(236\) | −1.38782 | + | 0.336681i | −0.0903392 | + | 0.0219160i | ||||
\(237\) | 0.571507 | − | 0.367285i | 0.0371234 | − | 0.0238577i | ||||
\(238\) | −14.6084 | − | 1.87271i | −0.946919 | − | 0.121390i | ||||
\(239\) | 0.325249 | + | 0.375358i | 0.0210386 | + | 0.0242799i | 0.766171 | − | 0.642636i | \(-0.222159\pi\) |
−0.745133 | + | 0.666916i | \(0.767614\pi\) | |||||||
\(240\) | 17.5836 | + | 0.837610i | 1.13502 | + | 0.0540675i | ||||
\(241\) | 8.83402 | + | 6.94715i | 0.569049 | + | 0.447505i | 0.860767 | − | 0.508999i | \(-0.169984\pi\) |
−0.291718 | + | 0.956504i | \(0.594227\pi\) | |||||||
\(242\) | −22.9723 | − | 18.0656i | −1.47671 | − | 1.16130i | ||||
\(243\) | 0.998867 | + | 0.0475819i | 0.0640774 | + | 0.00305238i | ||||
\(244\) | 5.18401 | + | 5.98267i | 0.331872 | + | 0.383001i | ||||
\(245\) | 28.4689 | + | 4.58843i | 1.81881 | + | 0.293144i | ||||
\(246\) | −12.8519 | + | 8.25940i | −0.819406 | + | 0.526600i | ||||
\(247\) | −2.30502 | + | 0.559191i | −0.146665 | + | 0.0355805i | ||||
\(248\) | 0.947870 | − | 0.328061i | 0.0601898 | − | 0.0208319i | ||||
\(249\) | −8.55928 | − | 2.07646i | −0.542422 | − | 0.131590i | ||||
\(250\) | −56.1019 | + | 5.35708i | −3.54820 | + | 0.338812i | ||||
\(251\) | 0.0185683 | + | 0.129146i | 0.00117202 | + | 0.00815160i | 0.990399 | − | 0.138238i | \(-0.0441438\pi\) |
−0.989227 | + | 0.146389i | \(0.953235\pi\) | |||||||
\(252\) | 2.58642 | − | 4.16324i | 0.162929 | − | 0.262260i | ||||
\(253\) | 13.5161 | − | 20.3168i | 0.849752 | − | 1.27731i | ||||
\(254\) | 15.6884 | + | 27.1731i | 0.984378 | + | 1.70499i | ||||
\(255\) | −4.34221 | + | 10.8463i | −0.271920 | + | 0.679223i | ||||
\(256\) | 10.4950 | + | 14.7382i | 0.655937 | + | 0.921135i | ||||
\(257\) | −6.82011 | + | 7.15273i | −0.425427 | + | 0.446175i | −0.901207 | − | 0.433390i | \(-0.857317\pi\) |
0.475780 | + | 0.879564i | \(0.342166\pi\) | |||||||
\(258\) | 15.4253 | − | 17.8017i | 0.960336 | − | 1.10829i | ||||
\(259\) | −6.18035 | + | 18.7819i | −0.384028 | + | 1.16705i | ||||
\(260\) | 2.36063 | + | 3.67321i | 0.146400 | + | 0.227803i | ||||
\(261\) | −0.796466 | + | 1.11848i | −0.0493000 | + | 0.0692322i | ||||
\(262\) | −2.26391 | − | 11.7463i | −0.139865 | − | 0.725687i | ||||
\(263\) | −6.74519 | − | 13.0838i | −0.415926 | − | 0.806785i | 0.584062 | − | 0.811709i | \(-0.301463\pi\) |
−0.999988 | + | 0.00492486i | \(0.998432\pi\) | |||||||
\(264\) | 1.36761 | − | 0.547507i | 0.0841704 | − | 0.0336967i | ||||
\(265\) | 4.38259 | + | 0.630121i | 0.269220 | + | 0.0387080i | ||||
\(266\) | 1.71820 | − | 21.4588i | 0.105350 | − | 1.31572i | ||||
\(267\) | −12.5675 | + | 10.8898i | −0.769116 | + | 0.666443i | ||||
\(268\) | −15.4414 | − | 10.9958i | −0.943235 | − | 0.671675i | ||||
\(269\) | 13.7699 | − | 0.655940i | 0.839564 | − | 0.0399933i | 0.376606 | − | 0.926374i | \(-0.377091\pi\) |
0.462958 | + | 0.886380i | \(0.346788\pi\) | |||||||
\(270\) | −5.57971 | − | 5.85183i | −0.339570 | − | 0.356131i | ||||
\(271\) | 1.54618 | − | 8.02237i | 0.0939240 | − | 0.487324i | −0.904254 | − | 0.426994i | \(-0.859573\pi\) |
0.998178 | − | 0.0603301i | \(-0.0192153\pi\) | |||||||
\(272\) | −11.6284 | + | 3.41442i | −0.705077 | + | 0.207029i | ||||
\(273\) | −1.51081 | + | 0.0951556i | −0.0914382 | + | 0.00575908i | ||||
\(274\) | 13.0596 | − | 1.87769i | 0.788961 | − | 0.113436i | ||||
\(275\) | −52.7459 | + | 30.4529i | −3.18070 | + | 1.83638i | ||||
\(276\) | −3.94545 | − | 7.96011i | −0.237488 | − | 0.479142i | ||||
\(277\) | −1.28957 | + | 2.23360i | −0.0774827 | + | 0.134204i | −0.902163 | − | 0.431395i | \(-0.858022\pi\) |
0.824681 | + | 0.565599i | \(0.191355\pi\) | |||||||
\(278\) | 18.7963 | + | 23.9014i | 1.12733 | + | 1.43351i | ||||
\(279\) | −3.15140 | − | 1.43919i | −0.188669 | − | 0.0861623i | ||||
\(280\) | 3.05482 | − | 0.790770i | 0.182560 | − | 0.0472576i | ||||
\(281\) | 4.18846 | + | 3.62932i | 0.249863 | + | 0.216507i | 0.770782 | − | 0.637098i | \(-0.219866\pi\) |
−0.520920 | + | 0.853606i | \(0.674411\pi\) | |||||||
\(282\) | −5.66243 | − | 23.3409i | −0.337193 | − | 1.38993i | ||||
\(283\) | 0.580238 | + | 12.1807i | 0.0344915 | + | 0.724067i | 0.948196 | + | 0.317687i | \(0.102906\pi\) |
−0.913704 | + | 0.406380i | \(0.866791\pi\) | |||||||
\(284\) | −2.77017 | − | 0.264519i | −0.164379 | − | 0.0156963i | ||||
\(285\) | −16.1379 | − | 5.58537i | −0.955925 | − | 0.330849i | ||||
\(286\) | 4.80706 | + | 3.08931i | 0.284248 | + | 0.182675i | ||||
\(287\) | −13.2458 | + | 15.7676i | −0.781875 | + | 0.930731i | ||||
\(288\) | 1.11125 | − | 7.72892i | 0.0654811 | − | 0.455431i | ||||
\(289\) | −0.426170 | + | 8.94642i | −0.0250688 | + | 0.526260i | ||||
\(290\) | 10.9016 | − | 2.10111i | 0.640162 | − | 0.123381i | ||||
\(291\) | 1.40039 | − | 14.6655i | 0.0820921 | − | 0.859707i | ||||
\(292\) | 7.37041 | − | 14.2966i | 0.431321 | − | 0.836646i | ||||
\(293\) | −13.0792 | − | 3.84040i | −0.764095 | − | 0.224359i | −0.123612 | − | 0.992331i | \(-0.539448\pi\) |
−0.640483 | + | 0.767972i | \(0.721266\pi\) | |||||||
\(294\) | 3.46569 | − | 13.2952i | 0.202123 | − | 0.775389i | ||||
\(295\) | 0.894688 | + | 3.04703i | 0.0520908 | + | 0.177405i | ||||
\(296\) | 0.205671 | + | 2.15389i | 0.0119544 | + | 0.125192i | ||||
\(297\) | −4.72370 | − | 1.89108i | −0.274097 | − | 0.109732i | ||||
\(298\) | −1.22297 | − | 0.706081i | −0.0708447 | − | 0.0409022i | ||||
\(299\) | −1.29583 | + | 2.41875i | −0.0749400 | + | 0.139880i | ||||
\(300\) | 22.1745i | 1.28024i | ||||||||
\(301\) | 12.7466 | − | 29.0805i | 0.734699 | − | 1.67617i | ||||
\(302\) | −12.0788 | + | 26.4489i | −0.695057 | + | 1.52196i | ||||
\(303\) | 1.05755 | + | 1.00837i | 0.0607546 | + | 0.0579294i | ||||
\(304\) | −5.79387 | − | 16.7403i | −0.332301 | − | 0.960122i | ||||
\(305\) | 12.7403 | − | 12.1479i | 0.729509 | − | 0.695585i | ||||
\(306\) | 4.94781 | + | 2.55077i | 0.282848 | + | 0.145818i | ||||
\(307\) | 5.75626 | − | 2.62879i | 0.328527 | − | 0.150033i | −0.244322 | − | 0.969694i | \(-0.578565\pi\) |
0.572849 | + | 0.819661i | \(0.305838\pi\) | |||||||
\(308\) | −19.3647 | + | 15.7140i | −1.10341 | + | 0.895388i | ||||
\(309\) | −3.58840 | + | 5.58365i | −0.204137 | + | 0.317643i | ||||
\(310\) | 10.4111 | + | 26.0058i | 0.591313 | + | 1.47703i | ||||
\(311\) | −3.91276 | + | 4.97548i | −0.221872 | + | 0.282133i | −0.884228 | − | 0.467056i | \(-0.845314\pi\) |
0.662355 | + | 0.749190i | \(0.269557\pi\) | |||||||
\(312\) | −0.147238 | + | 0.0759065i | −0.00833572 | + | 0.00429736i | ||||
\(313\) | −4.71292 | + | 13.6171i | −0.266390 | + | 0.769684i | 0.729894 | + | 0.683560i | \(0.239569\pi\) |
−0.996284 | + | 0.0861237i | \(0.972552\pi\) | |||||||
\(314\) | 10.0577 | + | 22.0234i | 0.567591 | + | 1.24285i | ||||
\(315\) | −9.52117 | − | 5.30450i | −0.536457 | − | 0.298875i | ||||
\(316\) | −0.354559 | + | 1.20752i | −0.0199455 | + | 0.0679281i | ||||
\(317\) | 0.682323 | + | 0.131507i | 0.0383231 | + | 0.00738617i | 0.208377 | − | 0.978049i | \(-0.433182\pi\) |
−0.170054 | + | 0.985435i | \(0.554394\pi\) | |||||||
\(318\) | 0.497361 | − | 2.05015i | 0.0278906 | − | 0.114967i | ||||
\(319\) | 5.69102 | − | 4.05256i | 0.318636 | − | 0.226900i | ||||
\(320\) | −21.9533 | + | 17.2643i | −1.22723 | + | 0.965104i | ||||
\(321\) | 3.87442 | 0.216249 | ||||||||
\(322\) | −17.1767 | − | 18.0337i | −0.957219 | − | 1.00498i | ||||
\(323\) | 11.7569 | 0.654172 | ||||||||
\(324\) | −1.45616 | + | 1.14514i | −0.0808977 | + | 0.0636187i | ||||
\(325\) | 5.57888 | − | 3.97271i | 0.309461 | − | 0.220366i | ||||
\(326\) | 0.446957 | − | 1.84238i | 0.0247547 | − | 0.102040i | ||||
\(327\) | −10.1154 | − | 1.94958i | −0.559381 | − | 0.107812i | ||||
\(328\) | −0.634870 | + | 2.16217i | −0.0350548 | + | 0.119386i | ||||
\(329\) | −16.6147 | − | 27.7868i | −0.915998 | − | 1.53194i | ||||
\(330\) | 17.0906 | + | 37.4232i | 0.940806 | + | 2.06008i | ||||
\(331\) | 5.94898 | − | 17.1885i | 0.326986 | − | 0.944763i | −0.654971 | − | 0.755654i | \(-0.727319\pi\) |
0.981956 | − | 0.189108i | \(-0.0605598\pi\) | |||||||
\(332\) | 14.5022 | − | 7.47639i | 0.795910 | − | 0.410320i | ||||
\(333\) | 4.61971 | − | 5.87444i | 0.253159 | − | 0.321918i | ||||
\(334\) | 7.44776 | + | 18.6036i | 0.407523 | + | 1.01794i | ||||
\(335\) | −22.7903 | + | 35.4623i | −1.24516 | + | 1.93751i | ||||
\(336\) | −1.78004 | − | 11.1650i | −0.0971089 | − | 0.609098i | ||||
\(337\) | 5.31868 | − | 2.42896i | 0.289727 | − | 0.132314i | −0.265250 | − | 0.964180i | \(-0.585454\pi\) |
0.554977 | + | 0.831866i | \(0.312727\pi\) | |||||||
\(338\) | 22.1085 | + | 11.3977i | 1.20254 | + | 0.619954i | ||||
\(339\) | −7.55690 | + | 7.20549i | −0.410435 | + | 0.391349i | ||||
\(340\) | −7.07876 | − | 20.4527i | −0.383900 | − | 1.10921i | ||||
\(341\) | 12.7579 | + | 12.1646i | 0.690878 | + | 0.658751i | ||||
\(342\) | −3.38007 | + | 7.40132i | −0.182773 | + | 0.400218i | ||||
\(343\) | −0.849798 | − | 18.5008i | −0.0458848 | − | 0.998947i | ||||
\(344\) | − | 3.47450i | − | 0.187332i | ||||||
\(345\) | −17.2637 | + | 9.60599i | −0.929448 | + | 0.517169i | ||||
\(346\) | −14.5608 | − | 8.40666i | −0.782792 | − | 0.451945i | ||||
\(347\) | 29.8344 | + | 11.9439i | 1.60160 | + | 0.641182i | 0.988825 | − | 0.149080i | \(-0.0476310\pi\) |
0.612770 | + | 0.790261i | \(0.290055\pi\) | |||||||
\(348\) | −0.241787 | − | 2.53211i | −0.0129612 | − | 0.135735i | ||||
\(349\) | −6.51994 | − | 22.2049i | −0.349005 | − | 1.18860i | −0.927784 | − | 0.373117i | \(-0.878289\pi\) |
0.578780 | − | 0.815484i | \(-0.303529\pi\) | |||||||
\(350\) | 18.4232 | + | 59.3679i | 0.984760 | + | 3.17335i | ||||
\(351\) | 0.548986 | + | 0.161197i | 0.0293027 | + | 0.00860406i | ||||
\(352\) | −18.2056 | + | 35.3139i | −0.970361 | + | 1.88224i | ||||
\(353\) | 0.376840 | − | 3.94644i | 0.0200571 | − | 0.210048i | −0.979888 | − | 0.199550i | \(-0.936052\pi\) |
0.999945 | − | 0.0104984i | \(-0.00334182\pi\) | |||||||
\(354\) | 1.48574 | − | 0.286354i | 0.0789664 | − | 0.0152195i | ||||
\(355\) | −0.294444 | + | 6.18115i | −0.0156275 | + | 0.328061i | ||||
\(356\) | 4.38406 | − | 30.4918i | 0.232355 | − | 1.61606i | ||||
\(357\) | 7.38887 | + | 1.30717i | 0.391060 | + | 0.0691829i | ||||
\(358\) | −25.7953 | − | 16.5776i | −1.36332 | − | 0.876155i | ||||
\(359\) | −10.5829 | − | 3.66278i | −0.558545 | − | 0.193314i | 0.0331869 | − | 0.999449i | \(-0.489434\pi\) |
−0.591732 | + | 0.806135i | \(0.701556\pi\) | |||||||
\(360\) | −1.18727 | − | 0.113371i | −0.0625747 | − | 0.00597515i | ||||
\(361\) | −0.0863701 | − | 1.81313i | −0.00454580 | − | 0.0954280i | ||||
\(362\) | 6.83720 | + | 28.1833i | 0.359355 | + | 1.48128i | ||||
\(363\) | 11.2528 | + | 9.75057i | 0.590616 | + | 0.511772i | ||||
\(364\) | 1.99973 | − | 1.96602i | 0.104814 | − | 0.103047i | ||||
\(365\) | −32.5358 | − | 14.8586i | −1.70300 | − | 0.777736i | ||||
\(366\) | −5.18479 | − | 6.59300i | −0.271013 | − | 0.344621i | ||||
\(367\) | 1.26806 | − | 2.19635i | 0.0661922 | − | 0.114648i | −0.831030 | − | 0.556228i | \(-0.812248\pi\) |
0.897222 | + | 0.441579i | \(0.145582\pi\) | |||||||
\(368\) | −18.9028 | − | 7.91708i | −0.985376 | − | 0.412707i | ||||
\(369\) | 6.74061 | − | 3.89169i | 0.350902 | − | 0.202593i | ||||
\(370\) | −59.8114 | + | 8.59959i | −3.10945 | + | 0.447071i | ||||
\(371\) | −0.178750 | − | 2.83806i | −0.00928025 | − | 0.147345i | ||||
\(372\) | 6.15795 | − | 1.80814i | 0.319275 | − | 0.0937475i | ||||
\(373\) | −2.99070 | + | 15.5172i | −0.154853 | + | 0.803451i | 0.818565 | + | 0.574414i | \(0.194770\pi\) |
−0.973418 | + | 0.229037i | \(0.926442\pi\) | |||||||
\(374\) | −19.5458 | − | 20.4990i | −1.01069 | − | 1.05998i | ||||
\(375\) | 28.6804 | − | 1.36622i | 1.48105 | − | 0.0705511i | ||||
\(376\) | −2.88586 | − | 2.05501i | −0.148827 | − | 0.105979i | ||||
\(377\) | −0.593737 | + | 0.514476i | −0.0305790 | + | 0.0264969i | ||||
\(378\) | −2.94718 | + | 4.27570i | −0.151586 | + | 0.219918i | ||||
\(379\) | −29.0101 | − | 4.17103i | −1.49015 | − | 0.214251i | −0.651387 | − | 0.758746i | \(-0.725812\pi\) |
−0.838764 | + | 0.544494i | \(0.816722\pi\) | |||||||
\(380\) | 29.3691 | − | 11.7576i | 1.50660 | − | 0.603153i | ||||
\(381\) | −7.32518 | − | 14.2089i | −0.375280 | − | 0.727942i | ||||
\(382\) | −2.38199 | − | 12.3589i | −0.121873 | − | 0.632337i | ||||
\(383\) | 7.48112 | − | 10.5058i | 0.382267 | − | 0.536819i | −0.577950 | − | 0.816072i | \(-0.696147\pi\) |
0.960218 | + | 0.279253i | \(0.0900867\pi\) | |||||||
\(384\) | −1.24881 | − | 1.94318i | −0.0637279 | − | 0.0991625i | ||||
\(385\) | 36.9533 | + | 41.3507i | 1.88331 | + | 2.10743i | ||||
\(386\) | −9.41847 | + | 10.8695i | −0.479388 | + | 0.553243i | ||||
\(387\) | −8.28156 | + | 8.68545i | −0.420975 | + | 0.441506i | ||||
\(388\) | 15.8305 | + | 22.2309i | 0.803674 | + | 1.12860i | ||||
\(389\) | 6.67454 | − | 16.6722i | 0.338413 | − | 0.845314i | −0.657370 | − | 0.753568i | \(-0.728331\pi\) |
0.995782 | − | 0.0917458i | \(-0.0292447\pi\) | |||||||
\(390\) | −2.31314 | − | 4.00648i | −0.117131 | − | 0.202876i | ||||
\(391\) | 9.06870 | − | 10.1370i | 0.458624 | − | 0.512648i | ||||
\(392\) | −0.897907 | − | 1.81688i | −0.0453511 | − | 0.0917662i | ||||
\(393\) | 0.867360 | + | 6.03262i | 0.0437525 | + | 0.304305i | ||||
\(394\) | −25.5593 | + | 2.44062i | −1.28766 | + | 0.122956i | ||||
\(395\) | 2.71968 | + | 0.659788i | 0.136842 | + | 0.0331975i | ||||
\(396\) | 8.90740 | − | 3.08288i | 0.447614 | − | 0.154921i | ||||
\(397\) | −0.640906 | + | 0.155482i | −0.0321661 | + | 0.00780342i | −0.251810 | − | 0.967777i | \(-0.581026\pi\) |
0.219644 | + | 0.975580i | \(0.429511\pi\) | |||||||
\(398\) | 17.3923 | − | 11.1774i | 0.871799 | − | 0.560271i | ||||
\(399\) | −1.39461 | + | 10.8788i | −0.0698177 | + | 0.544622i | ||||
\(400\) | 33.4968 | + | 38.6574i | 1.67484 | + | 1.93287i | ||||
\(401\) | 11.5221 | + | 0.548865i | 0.575386 | + | 0.0274090i | 0.333259 | − | 0.942835i | \(-0.391852\pi\) |
0.242128 | + | 0.970244i | \(0.422155\pi\) | |||||||
\(402\) | 15.7878 | + | 12.4157i | 0.787424 | + | 0.619237i | ||||
\(403\) | −1.55815 | − | 1.22534i | −0.0776169 | − | 0.0610386i | ||||
\(404\) | −2.70387 | − | 0.128801i | −0.134523 | − | 0.00640811i | ||||
\(405\) | 2.69768 | + | 3.11329i | 0.134049 | + | 0.154701i | ||||
\(406\) | −2.75109 | − | 6.57836i | −0.136534 | − | 0.326478i | ||||
\(407\) | −31.9892 | + | 20.5582i | −1.58565 | + | 1.01903i | ||||
\(408\) | 0.797962 | − | 0.193583i | 0.0395050 | − | 0.00958381i | ||||
\(409\) | 11.4936 | − | 3.97797i | 0.568322 | − | 0.196698i | −0.0277699 | − | 0.999614i | \(-0.508841\pi\) |
0.596092 | + | 0.802916i | \(0.296719\pi\) | |||||||
\(410\) | −61.1594 | − | 14.8371i | −3.02045 | − | 0.732753i | ||||
\(411\) | −6.69163 | + | 0.638974i | −0.330074 | + | 0.0315182i | ||||
\(412\) | −1.74984 | − | 12.1704i | −0.0862085 | − | 0.599593i | ||||
\(413\) | 1.79835 | − | 0.962219i | 0.0884908 | − | 0.0473477i | ||||
\(414\) | 3.77429 | + | 8.62335i | 0.185496 | + | 0.423814i | ||||
\(415\) | −18.1412 | − | 31.4215i | −0.890518 | − | 1.54242i | ||||
\(416\) | 1.66047 | − | 4.14765i | 0.0814112 | − | 0.203355i | ||||
\(417\) | −8.98611 | − | 12.6192i | −0.440052 | − | 0.617966i | ||||
\(418\) | 28.5696 | − | 29.9629i | 1.39739 | − | 1.46554i | ||||
\(419\) | −17.0936 | + | 19.7271i | −0.835079 | + | 0.963733i | −0.999744 | − | 0.0226168i | \(-0.992800\pi\) |
0.164665 | + | 0.986350i | \(0.447346\pi\) | |||||||
\(420\) | 19.7649 | − | 4.12396i | 0.964427 | − | 0.201229i | ||||
\(421\) | −7.94406 | − | 12.3612i | −0.387170 | − | 0.602448i | 0.591891 | − | 0.806018i | \(-0.298382\pi\) |
−0.979060 | + | 0.203571i | \(0.934745\pi\) | |||||||
\(422\) | −22.2581 | + | 31.2571i | −1.08351 | + | 1.52157i | ||||
\(423\) | 2.31581 | + | 12.0156i | 0.112598 | + | 0.584216i | ||||
\(424\) | −0.142591 | − | 0.276588i | −0.00692482 | − | 0.0134323i | ||||
\(425\) | −31.5164 | + | 12.6173i | −1.52877 | + | 0.612028i | ||||
\(426\) | 2.91842 | + | 0.419605i | 0.141398 | + | 0.0203300i | ||||
\(427\) | −9.30885 | − | 6.41645i | −0.450487 | − | 0.310514i | ||||
\(428\) | −5.42428 | + | 4.70016i | −0.262192 | + | 0.227191i | ||||
\(429\) | −2.37145 | − | 1.68870i | −0.114495 | − | 0.0815312i | ||||
\(430\) | 96.9245 | − | 4.61708i | 4.67411 | − | 0.222656i | ||||
\(431\) | −5.55779 | − | 5.82884i | −0.267709 | − | 0.280765i | 0.576134 | − | 0.817355i | \(-0.304561\pi\) |
−0.843843 | + | 0.536590i | \(0.819712\pi\) | |||||||
\(432\) | −0.808718 | + | 4.19603i | −0.0389095 | + | 0.201882i | ||||
\(433\) | 12.6554 | − | 3.71597i | 0.608182 | − | 0.178578i | 0.0368818 | − | 0.999320i | \(-0.488257\pi\) |
0.571300 | + | 0.820741i | \(0.306439\pi\) | |||||||
\(434\) | 14.9845 | − | 9.95714i | 0.719278 | − | 0.477958i | ||||
\(435\) | −5.59880 | + | 0.804986i | −0.268442 | + | 0.0385961i | ||||
\(436\) | 16.5268 | − | 9.54176i | 0.791491 | − | 0.456968i | ||||
\(437\) | 15.4309 | + | 12.5355i | 0.738160 | + | 0.599653i | ||||
\(438\) | −8.52110 | + | 14.7590i | −0.407154 | + | 0.705211i | ||||
\(439\) | −21.0111 | − | 26.7178i | −1.00280 | − | 1.27517i | −0.961147 | − | 0.276037i | \(-0.910979\pi\) |
−0.0416568 | − | 0.999132i | \(-0.513264\pi\) | |||||||
\(440\) | 5.52012 | + | 2.52095i | 0.263161 | + | 0.120182i | ||||
\(441\) | −2.08601 | + | 6.68196i | −0.0993339 | + | 0.318188i | ||||
\(442\) | 2.40707 | + | 2.08574i | 0.114493 | + | 0.0992086i | ||||
\(443\) | 6.60669 | + | 27.2331i | 0.313893 | + | 1.29389i | 0.882124 | + | 0.471016i | \(0.156113\pi\) |
−0.568231 | + | 0.822869i | \(0.692372\pi\) | |||||||
\(444\) | 0.658740 | + | 13.8286i | 0.0312624 | + | 0.656278i | ||||
\(445\) | −68.1931 | − | 6.51165i | −3.23266 | − | 0.308682i | ||||
\(446\) | 0.864698 | + | 0.299275i | 0.0409446 | + | 0.0141711i | ||||
\(447\) | 0.605258 | + | 0.388976i | 0.0286277 | + | 0.0183979i | ||||
\(448\) | 13.7342 | + | 11.5376i | 0.648881 | + | 0.545102i | ||||
\(449\) | 4.25727 | − | 29.6099i | 0.200913 | − | 1.39738i | −0.600670 | − | 0.799497i | \(-0.705100\pi\) |
0.801583 | − | 0.597883i | \(-0.203991\pi\) | |||||||
\(450\) | 1.11792 | − | 23.4679i | 0.0526990 | − | 1.10629i | ||||
\(451\) | −38.8876 | + | 7.49496i | −1.83114 | + | 0.352924i | ||||
\(452\) | 1.83866 | − | 19.2553i | 0.0864833 | − | 0.905694i | ||||
\(453\) | 6.78814 | − | 13.1672i | 0.318935 | − | 0.618647i | ||||
\(454\) | 7.26592 | + | 2.13347i | 0.341007 | + | 0.100129i | ||||
\(455\) | −4.57856 | − | 4.23382i | −0.214646 | − | 0.198485i | ||||
\(456\) | 0.338134 | + | 1.15158i | 0.0158346 | + | 0.0539276i | ||||
\(457\) | 1.88973 | + | 19.7901i | 0.0883978 | + | 0.925744i | 0.925513 | + | 0.378717i | \(0.123634\pi\) |
−0.837115 | + | 0.547027i | \(0.815759\pi\) | |||||||
\(458\) | −37.0205 | − | 14.8208i | −1.72985 | − | 0.692529i | ||||
\(459\) | −2.45613 | − | 1.41805i | −0.114642 | − | 0.0661888i | ||||
\(460\) | 12.5163 | − | 34.3917i | 0.583576 | − | 1.60352i | ||||
\(461\) | − | 1.18348i | − | 0.0551203i | −0.999620 | − | 0.0275602i | \(-0.991226\pi\) | ||
0.999620 | − | 0.0275602i | \(-0.00877379\pi\) | |||||||
\(462\) | 21.2865 | − | 15.6544i | 0.990339 | − | 0.728306i | ||||
\(463\) | 5.01676 | − | 10.9852i | 0.233149 | − | 0.510524i | −0.756507 | − | 0.653985i | \(-0.773096\pi\) |
0.989656 | + | 0.143461i | \(0.0458231\pi\) | |||||||
\(464\) | −4.24653 | − | 4.04906i | −0.197140 | − | 0.187973i | ||||
\(465\) | −4.66785 | − | 13.4869i | −0.216466 | − | 0.625438i | ||||
\(466\) | −2.45457 | + | 2.34043i | −0.113706 | + | 0.108418i | ||||
\(467\) | 2.17370 | + | 1.12062i | 0.100587 | + | 0.0518561i | 0.507786 | − | 0.861483i | \(-0.330464\pi\) |
−0.407199 | + | 0.913339i | \(0.633494\pi\) | |||||||
\(468\) | −0.964145 | + | 0.440310i | −0.0445676 | + | 0.0203534i | ||||
\(469\) | 25.2854 | + | 9.67655i | 1.16757 | + | 0.446822i | ||||
\(470\) | 53.4916 | − | 83.2345i | 2.46738 | − | 3.83932i | ||||
\(471\) | −4.58454 | − | 11.4516i | −0.211245 | − | 0.527664i | ||||
\(472\) | 0.137966 | − | 0.175438i | 0.00635040 | − | 0.00807520i | ||||
\(473\) | 54.2746 | − | 27.9805i | 2.49555 | − | 1.28654i | ||||
\(474\) | 0.436118 | − | 1.26008i | 0.0200315 | − | 0.0578773i | ||||
\(475\) | −20.6134 | − | 45.1371i | −0.945810 | − | 2.07103i | ||||
\(476\) | −11.9303 | + | 7.13356i | −0.546826 | + | 0.326966i | ||||
\(477\) | −0.302809 | + | 1.03127i | −0.0138647 | + | 0.0472188i | ||||
\(478\) | 0.957234 | + | 0.184492i | 0.0437829 | + | 0.00843846i | ||||
\(479\) | 8.74152 | − | 36.0330i | 0.399410 | − | 1.64639i | −0.316790 | − | 0.948496i | \(-0.602605\pi\) |
0.716200 | − | 0.697895i | \(-0.245880\pi\) | |||||||
\(480\) | 26.2021 | − | 18.6584i | 1.19595 | − | 0.851636i | ||||
\(481\) | 3.36114 | − | 2.64323i | 0.153255 | − | 0.120521i | ||||
\(482\) | 22.0586 | 1.00474 | ||||||||
\(483\) | 8.30412 | + | 9.59383i | 0.377851 | + | 0.436534i | ||||
\(484\) | −27.5828 | −1.25376 | ||||||||
\(485\) | 47.7048 | − | 37.5154i | 2.16616 | − | 1.70349i | ||||
\(486\) | 1.59883 | − | 1.13852i | 0.0725245 | − | 0.0516444i | ||||
\(487\) | 0.128131 | − | 0.528164i | 0.00580618 | − | 0.0239334i | −0.968835 | − | 0.247708i | \(-0.920323\pi\) |
0.974641 | + | 0.223774i | \(0.0718379\pi\) | |||||||
\(488\) | −1.21484 | − | 0.234141i | −0.0549932 | − | 0.0105991i | ||||
\(489\) | −0.272122 | + | 0.926762i | −0.0123058 | + | 0.0419096i | ||||
\(490\) | 49.4904 | − | 27.4623i | 2.23575 | − | 1.24062i | ||||
\(491\) | 17.0936 | + | 37.4297i | 0.771423 | + | 1.68918i | 0.723496 | + | 0.690329i | \(0.242534\pi\) |
0.0479269 | + | 0.998851i | \(0.484739\pi\) | |||||||
\(492\) | −4.71589 | + | 13.6257i | −0.212609 | + | 0.614292i | ||||
\(493\) | 3.46130 | − | 1.78442i | 0.155889 | − | 0.0803664i | ||||
\(494\) | −2.87782 | + | 3.65944i | −0.129479 | + | 0.164646i | ||||
\(495\) | −7.79027 | − | 19.4591i | −0.350146 | − | 0.874624i | ||||
\(496\) | 8.00396 | − | 12.4544i | 0.359388 | − | 0.559219i | ||||
\(497\) | 3.92481 | − | 0.625734i | 0.176052 | − | 0.0280680i | ||||
\(498\) | −15.7250 | + | 7.18138i | −0.704656 | + | 0.321806i | ||||
\(499\) | −15.5736 | − | 8.02876i | −0.697171 | − | 0.359417i | 0.0729315 | − | 0.997337i | \(-0.476765\pi\) |
−0.770102 | + | 0.637920i | \(0.779795\pi\) | |||||||
\(500\) | −38.4958 | + | 36.7057i | −1.72158 | + | 1.64153i | ||||
\(501\) | −3.33921 | − | 9.64801i | −0.149185 | − | 0.431041i | ||||
\(502\) | 0.185342 | + | 0.176723i | 0.00827220 | + | 0.00788752i | ||||
\(503\) | −9.15351 | + | 20.0434i | −0.408135 | + | 0.893690i | 0.588246 | + | 0.808682i | \(0.299819\pi\) |
−0.996380 | + | 0.0850079i | \(0.972908\pi\) | |||||||
\(504\) | 0.0844708 | + | 0.761327i | 0.00376263 | + | 0.0339122i | ||||
\(505\) | 6.01954i | 0.267866i | ||||||||
\(506\) | −3.79724 | − | 47.7450i | −0.168808 | − | 2.12252i | ||||
\(507\) | −10.9748 | − | 6.33631i | −0.487409 | − | 0.281406i | ||||
\(508\) | 27.4925 | + | 11.0064i | 1.21978 | + | 0.488328i | ||||
\(509\) | −1.57898 | − | 16.5359i | −0.0699872 | − | 0.732940i | −0.960555 | − | 0.278089i | \(-0.910299\pi\) |
0.890568 | − | 0.454850i | \(-0.150307\pi\) | |||||||
\(510\) | 6.46056 | + | 22.0027i | 0.286079 | + | 0.974294i | ||||
\(511\) | −5.07372 | + | 22.4050i | −0.224448 | + | 0.991137i | ||||
\(512\) | 29.6415 | + | 8.70353i | 1.30998 | + | 0.384646i | ||||
\(513\) | 1.89956 | − | 3.68463i | 0.0838675 | − | 0.162680i | ||||
\(514\) | −1.84393 | + | 19.3105i | −0.0813321 | + | 0.851748i | ||||
\(515\) | −26.8481 | + | 5.17454i | −1.18307 | + | 0.228018i | ||||
\(516\) | 1.05782 | − | 22.2064i | 0.0465680 | − | 0.977582i | ||||
\(517\) | 8.86087 | − | 61.6287i | 0.389700 | − | 2.71043i | ||||
\(518\) | 13.2529 | + | 36.4762i | 0.582298 | + | 1.60267i | ||||
\(519\) | 7.20625 | + | 4.63118i | 0.316319 | + | 0.203286i | ||||
\(520\) | −0.644871 | − | 0.223192i | −0.0282795 | − | 0.00978761i | ||||
\(521\) | −10.3661 | − | 0.989840i | −0.454146 | − | 0.0433657i | −0.134523 | − | 0.990910i | \(-0.542950\pi\) |
−0.319623 | + | 0.947545i | \(0.603556\pi\) | |||||||
\(522\) | 0.128236 | + | 2.69200i | 0.00561273 | + | 0.117826i | ||||
\(523\) | −1.11625 | − | 4.60125i | −0.0488103 | − | 0.201199i | 0.942185 | − | 0.335092i | \(-0.108767\pi\) |
−0.990996 | + | 0.133893i | \(0.957252\pi\) | |||||||
\(524\) | −8.53265 | − | 7.39358i | −0.372751 | − | 0.322990i | ||||
\(525\) | −7.93644 | − | 30.6592i | −0.346375 | − | 1.33808i | ||||
\(526\) | −26.2815 | − | 12.0024i | −1.14593 | − | 0.523329i | ||||
\(527\) | 6.07377 | + | 7.72343i | 0.264578 | + | 0.336438i | ||||
\(528\) | 10.8715 | − | 18.8300i | 0.473123 | − | 0.819472i | ||||
\(529\) | 22.7109 | − | 3.63547i | 0.987429 | − | 0.158064i | ||||
\(530\) | 7.52619 | − | 4.34525i | 0.326917 | − | 0.188746i | ||||
\(531\) | −0.763045 | + | 0.109709i | −0.0331133 | + | 0.00476098i | ||||
\(532\) | −11.2449 | − | 16.9224i | −0.487528 | − | 0.733680i | ||||
\(533\) | 4.27297 | − | 1.25466i | 0.185083 | − | 0.0543453i | ||||
\(534\) | −6.17702 | + | 32.0494i | −0.267306 | + | 1.38692i | ||||
\(535\) | 11.0141 | + | 11.5512i | 0.476180 | + | 0.499403i | ||||
\(536\) | 2.95928 | − | 0.140968i | 0.127821 | − | 0.00608888i | ||||
\(537\) | 12.7255 | + | 9.06178i | 0.549145 | + | 0.391045i | ||||
\(538\) | 20.4489 | − | 17.7191i | 0.881617 | − | 0.763925i | ||||
\(539\) | 21.1502 | − | 28.6576i | 0.911004 | − | 1.23437i | ||||
\(540\) | −7.55362 | − | 1.08605i | −0.325056 | − | 0.0467360i | ||||
\(541\) | −5.60291 | + | 2.24307i | −0.240888 | + | 0.0964369i | −0.488965 | − | 0.872303i | \(-0.662626\pi\) |
0.248077 | + | 0.968740i | \(0.420201\pi\) | |||||||
\(542\) | −7.34808 | − | 14.2533i | −0.315627 | − | 0.612231i | ||||
\(543\) | −2.79626 | − | 14.5084i | −0.119999 | − | 0.622614i | ||||
\(544\) | −12.8456 | + | 18.0391i | −0.550750 | + | 0.773420i | ||||
\(545\) | −22.9431 | − | 35.7002i | −0.982774 | − | 1.52923i | ||||
\(546\) | −2.21549 | + | 1.97989i | −0.0948143 | + | 0.0847313i | ||||
\(547\) | −23.2670 | + | 26.8515i | −0.994824 | + | 1.14809i | −0.00585269 | + | 0.999983i | \(0.501863\pi\) |
−0.988972 | + | 0.148106i | \(0.952682\pi\) | |||||||
\(548\) | 8.59328 | − | 9.01237i | 0.367087 | − | 0.384989i | ||||
\(549\) | 2.47874 | + | 3.48090i | 0.105790 | + | 0.148561i | ||||
\(550\) | −44.4301 | + | 110.981i | −1.89451 | + | 4.73225i | ||||
\(551\) | 2.84603 | + | 4.92946i | 0.121245 | + | 0.210002i | ||||
\(552\) | 1.25372 | + | 0.596727i | 0.0533620 | + | 0.0253984i | ||||
\(553\) | 0.0580450 | − | 1.79646i | 0.00246833 | − | 0.0763931i | ||||
\(554\) | 0.720437 | + | 5.01075i | 0.0306084 | + | 0.212886i | ||||
\(555\) | 30.6468 | − | 2.92642i | 1.30089 | − | 0.124219i | ||||
\(556\) | 27.8895 | + | 6.76591i | 1.18278 | + | 0.286939i | ||||
\(557\) | −19.4930 | + | 6.74660i | −0.825946 | + | 0.285863i | −0.707157 | − | 0.707057i | \(-0.750023\pi\) |
−0.118789 | + | 0.992919i | \(0.537901\pi\) | |||||||
\(558\) | −6.60831 | + | 1.60316i | −0.279752 | + | 0.0678671i | ||||
\(559\) | −5.77643 | + | 3.71229i | −0.244317 | + | 0.157013i | ||||
\(560\) | 28.2270 | − | 37.0463i | 1.19281 | − | 1.56549i | ||||
\(561\) | 9.45000 | + | 10.9059i | 0.398979 | + | 0.460447i | ||||
\(562\) | 10.8656 | + | 0.517594i | 0.458339 | + | 0.0218334i | ||||
\(563\) | 25.8604 | + | 20.3369i | 1.08989 | + | 0.857097i | 0.990440 | − | 0.137946i | \(-0.0440500\pi\) |
0.0994476 | + | 0.995043i | \(0.468292\pi\) | |||||||
\(564\) | −17.8186 | − | 14.0127i | −0.750297 | − | 0.590040i | ||||
\(565\) | −42.9649 | − | 2.04667i | −1.80755 | − | 0.0861041i | ||||
\(566\) | 15.6741 | + | 18.0889i | 0.658834 | + | 0.760334i | ||||
\(567\) | 1.60348 | − | 2.10448i | 0.0673400 | − | 0.0883799i | ||||
\(568\) | 0.365869 | − | 0.235130i | 0.0153515 | − | 0.00986583i | ||||
\(569\) | −0.0895508 | + | 0.0217248i | −0.00375417 | + | 0.000910751i | −0.237636 | − | 0.971354i | \(-0.576372\pi\) |
0.233881 | + | 0.972265i | \(0.424857\pi\) | |||||||
\(570\) | −31.6750 | + | 10.9628i | −1.32672 | + | 0.459183i | ||||
\(571\) | 34.6790 | + | 8.41303i | 1.45127 | + | 0.352074i | 0.882457 | − | 0.470392i | \(-0.155888\pi\) |
0.568813 | + | 0.822467i | \(0.307403\pi\) | |||||||
\(572\) | 5.36868 | − | 0.512647i | 0.224476 | − | 0.0214349i | ||||
\(573\) | 0.912598 | + | 6.34726i | 0.0381243 | + | 0.265161i | ||||
\(574\) | −1.30530 | + | 40.3982i | −0.0544822 | + | 1.68619i | ||||
\(575\) | −54.8180 | − | 17.0434i | −2.28607 | − | 0.710758i | ||||
\(576\) | −3.38983 | − | 5.87135i | −0.141243 | − | 0.244640i | ||||
\(577\) | −12.5655 | + | 31.3871i | −0.523108 | + | 1.30666i | 0.398011 | + | 0.917381i | \(0.369701\pi\) |
−0.921119 | + | 0.389281i | \(0.872724\pi\) | |||||||
\(578\) | 10.1972 | + | 14.3200i | 0.424150 | + | 0.595635i | ||||
\(579\) | 5.05661 | − | 5.30322i | 0.210145 | − | 0.220394i | ||||
\(580\) | 6.86190 | − | 7.91905i | 0.284925 | − | 0.328821i | ||||
\(581\) | −17.3754 | + | 15.5276i | −0.720852 | + | 0.644193i | ||||
\(582\) | −15.6332 | − | 24.3257i | −0.648017 | − | 1.00833i | ||||
\(583\) | 3.17223 | − | 4.45478i | 0.131380 | − | 0.184498i | ||||
\(584\) | 0.475743 | + | 2.46839i | 0.0196864 | + | 0.102143i | ||||
\(585\) | 1.08004 | + | 2.09499i | 0.0446543 | + | 0.0866173i | ||||
\(586\) | −24.8388 | + | 9.94396i | −1.02608 | + | 0.410781i | ||||
\(587\) | 11.3214 | + | 1.62777i | 0.467284 | + | 0.0671853i | 0.371935 | − | 0.928259i | \(-0.378694\pi\) |
0.0953487 | + | 0.995444i | \(0.469603\pi\) | |||||||
\(588\) | −5.18559 | − | 11.8855i | −0.213850 | − | 0.490149i | ||||
\(589\) | −10.8539 | + | 9.40500i | −0.447229 | + | 0.387526i | ||||
\(590\) | 5.07735 | + | 3.61557i | 0.209031 | + | 0.148850i | ||||
\(591\) | 13.0664 | − | 0.622430i | 0.537480 | − | 0.0256033i | ||||
\(592\) | 22.0380 | + | 23.1128i | 0.905756 | + | 0.949930i | ||||
\(593\) | 0.113549 | − | 0.589146i | 0.00466288 | − | 0.0241933i | −0.979523 | − | 0.201334i | \(-0.935472\pi\) |
0.984186 | + | 0.177140i | \(0.0566846\pi\) | |||||||
\(594\) | −9.58241 | + | 2.81365i | −0.393171 | + | 0.115445i | ||||
\(595\) | 17.1076 | + | 25.7452i | 0.701342 | + | 1.05545i | ||||
\(596\) | −1.31925 | + | 0.189680i | −0.0540386 | + | 0.00776958i | ||||
\(597\) | −9.12201 | + | 5.26660i | −0.373339 | + | 0.215547i | ||||
\(598\) | 0.935411 | + | 5.30400i | 0.0382518 | + | 0.216897i | ||||
\(599\) | −5.87085 | + | 10.1686i | −0.239876 | + | 0.415478i | −0.960679 | − | 0.277663i | \(-0.910440\pi\) |
0.720802 | + | 0.693141i | \(0.243774\pi\) | |||||||
\(600\) | −2.14228 | − | 2.72412i | −0.0874580 | − | 0.111212i | ||||
\(601\) | −21.8608 | − | 9.98349i | −0.891720 | − | 0.407235i | −0.0837694 | − | 0.996485i | \(-0.526696\pi\) |
−0.807951 | + | 0.589250i | \(0.799423\pi\) | |||||||
\(602\) | −15.6176 | − | 60.3322i | −0.636525 | − | 2.45896i | ||||
\(603\) | −7.73351 | − | 6.70112i | −0.314933 | − | 0.272891i | ||||
\(604\) | 6.46987 | + | 26.6692i | 0.263255 | + | 1.08515i | ||||
\(605\) | 2.91853 | + | 61.2675i | 0.118655 | + | 2.49088i | ||||
\(606\) | 2.85510 | + | 0.272629i | 0.115981 | + | 0.0110748i | ||||
\(607\) | −24.6371 | − | 8.52697i | −0.999988 | − | 0.346099i | −0.222456 | − | 0.974943i | \(-0.571407\pi\) |
−0.777532 | + | 0.628844i | \(0.783529\pi\) | |||||||
\(608\) | −27.2309 | − | 17.5002i | −1.10436 | − | 0.709728i | ||||
\(609\) | 1.24057 | + | 3.41445i | 0.0502704 | + | 0.138361i | ||||
\(610\) | 4.91725 | − | 34.2003i | 0.199094 | − | 1.38473i | ||||
\(611\) | −0.333139 | + | 6.99345i | −0.0134774 | + | 0.282925i | ||||
\(612\) | 5.15891 | − | 0.994298i | 0.208536 | − | 0.0401921i | ||||
\(613\) | 0.854670 | − | 8.95051i | 0.0345198 | − | 0.361508i | −0.961664 | − | 0.274230i | \(-0.911577\pi\) |
0.996184 | − | 0.0872780i | \(-0.0278168\pi\) | |||||||
\(614\) | 5.69149 | − | 11.0399i | 0.229690 | − | 0.445536i | ||||
\(615\) | 30.7646 | + | 9.03332i | 1.24055 | + | 0.364258i | ||||
\(616\) | 0.860821 | − | 3.80129i | 0.0346835 | − | 0.153158i | ||||
\(617\) | 8.07217 | + | 27.4913i | 0.324973 | + | 1.10676i | 0.946323 | + | 0.323223i | \(0.104767\pi\) |
−0.621349 | + | 0.783534i | \(0.713415\pi\) | |||||||
\(618\) | 1.23835 | + | 12.9686i | 0.0498136 | + | 0.521672i | ||||
\(619\) | −31.1546 | − | 12.4724i | −1.25221 | − | 0.501308i | −0.351685 | − | 0.936118i | \(-0.614391\pi\) |
−0.900522 | + | 0.434810i | \(0.856815\pi\) | |||||||
\(620\) | 22.8964 | + | 13.2192i | 0.919540 | + | 0.530897i | ||||
\(621\) | −1.71171 | − | 4.47996i | −0.0686885 | − | 0.179775i | ||||
\(622\) | 12.4238i | 0.498148i | ||||||||
\(623\) | 4.85173 | + | 43.7282i | 0.194381 | + | 1.75193i | ||||
\(624\) | −1.01569 | + | 2.22405i | −0.0406601 | + | 0.0890332i | ||||
\(625\) | 42.2891 | + | 40.3226i | 1.69157 | + | 1.61290i | ||||
\(626\) | 9.25042 | + | 26.7273i | 0.369721 | + | 1.06824i | ||||
\(627\) | −15.2656 | + | 14.5557i | −0.609649 | + | 0.581299i | ||||
\(628\) | 20.3107 | + | 10.4709i | 0.810487 | + | 0.417835i | ||||
\(629\) | −19.2798 | + | 8.80477i | −0.768734 | + | 0.351069i | ||||
\(630\) | −21.1257 | + | 3.36808i | −0.841668 | + | 0.134188i | ||||
\(631\) | −9.42410 | + | 14.6642i | −0.375168 | + | 0.583772i | −0.976577 | − | 0.215169i | \(-0.930970\pi\) |
0.601409 | + | 0.798941i | \(0.294606\pi\) | |||||||
\(632\) | −0.0731008 | − | 0.182597i | −0.00290779 | − | 0.00726332i | ||||
\(633\) | 12.0850 | − | 15.3673i | 0.480335 | − | 0.610796i | ||||
\(634\) | 1.21228 | − | 0.624973i | 0.0481457 | − | 0.0248208i | ||||
\(635\) | 21.5386 | − | 62.2317i | 0.854733 | − | 2.46959i | ||||
\(636\) | −0.827125 | − | 1.81115i | −0.0327977 | − | 0.0718168i | ||||
\(637\) | −2.06124 | + | 3.43401i | −0.0816694 | + | 0.136061i | ||||
\(638\) | 3.86337 | − | 13.1574i | 0.152952 | − | 0.520908i | ||||
\(639\) | −1.47503 | − | 0.284288i | −0.0583512 | − | 0.0112463i | ||||
\(640\) | 2.24334 | − | 9.24719i | 0.0886760 | − | 0.365527i | ||||
\(641\) | −5.53723 | + | 3.94304i | −0.218707 | + | 0.155741i | −0.684160 | − | 0.729332i | \(-0.739831\pi\) |
0.465453 | + | 0.885073i | \(0.345892\pi\) | |||||||
\(642\) | 5.97764 | − | 4.70087i | 0.235919 | − | 0.185529i | ||||
\(643\) | 43.1190 | 1.70045 | 0.850223 | − | 0.526422i | \(-0.176467\pi\) | ||||
0.850223 | + | 0.526422i | \(0.176467\pi\) | |||||||
\(644\) | −23.2645 | − | 3.35763i | −0.916749 | − | 0.132309i | ||||
\(645\) | −49.4373 | −1.94659 | ||||||||
\(646\) | 18.1391 | − | 14.2648i | 0.713674 | − | 0.561239i | ||||
\(647\) | 34.1724 | − | 24.3341i | 1.34346 | − | 0.956671i | 0.343611 | − | 0.939112i | \(-0.388350\pi\) |
0.999846 | − | 0.0175594i | \(-0.00558962\pi\) | |||||||
\(648\) | 0.0682570 | − | 0.281359i | 0.00268139 | − | 0.0110528i | ||||
\(649\) | 3.85155 | + | 0.742325i | 0.151186 | + | 0.0291388i | ||||
\(650\) | 3.78725 | − | 12.8982i | 0.148548 | − | 0.505908i | ||||
\(651\) | −7.86706 | + | 4.70398i | −0.308334 | + | 0.184364i | ||||
\(652\) | −0.743303 | − | 1.62761i | −0.0291100 | − | 0.0637420i | ||||
\(653\) | −8.71858 | + | 25.1907i | −0.341184 | + | 0.985787i | 0.635685 | + | 0.771949i | \(0.280718\pi\) |
−0.976869 | + | 0.213838i | \(0.931403\pi\) | |||||||
\(654\) | −17.9719 | + | 9.26516i | −0.702757 | + | 0.362296i | ||||
\(655\) | −15.5200 | + | 19.7352i | −0.606415 | + | 0.771120i | ||||
\(656\) | 12.3616 | + | 30.8779i | 0.482641 | + | 1.20558i | ||||
\(657\) | 4.69422 | − | 7.30435i | 0.183139 | − | 0.284970i | ||||
\(658\) | −59.3479 | − | 22.7121i | −2.31362 | − | 0.885409i | ||||
\(659\) | −20.1558 | + | 9.20486i | −0.785159 | + | 0.358570i | −0.767315 | − | 0.641270i | \(-0.778408\pi\) |
−0.0178445 | + | 0.999841i | \(0.505680\pi\) | |||||||
\(660\) | 34.5129 | + | 17.7927i | 1.34341 | + | 0.692578i | ||||
\(661\) | 2.95762 | − | 2.82008i | 0.115038 | − | 0.109688i | −0.630377 | − | 0.776289i | \(-0.717100\pi\) |
0.745415 | + | 0.666601i | \(0.232251\pi\) | |||||||
\(662\) | −11.6765 | − | 33.7371i | −0.453821 | − | 1.31123i | ||||
\(663\) | −1.17441 | − | 1.11980i | −0.0456103 | − | 0.0434893i | ||||
\(664\) | −1.05929 | + | 2.31953i | −0.0411086 | + | 0.0900152i | ||||
\(665\) | −36.3987 | + | 26.7680i | −1.41148 | + | 1.03802i | ||||
\(666\) | − | 14.6685i | − | 0.568393i | ||||||
\(667\) | 6.44553 | + | 1.34846i | 0.249572 | + | 0.0522127i | ||||
\(668\) | 16.3792 | + | 9.45655i | 0.633731 | + | 0.365885i | ||||
\(669\) | −0.432794 | − | 0.173265i | −0.0167328 | − | 0.00669879i | ||||
\(670\) | 7.86486 | + | 82.3645i | 0.303846 | + | 3.18202i | ||||
\(671\) | −6.12575 | − | 20.8624i | −0.236482 | − | 0.805383i | ||||
\(672\) | −15.1681 | − | 14.0260i | −0.585121 | − | 0.541064i | ||||
\(673\) | 33.7194 | + | 9.90091i | 1.29979 | + | 0.381652i | 0.857158 | − | 0.515053i | \(-0.172228\pi\) |
0.442629 | + | 0.896705i | \(0.354046\pi\) | |||||||
\(674\) | 5.25883 | − | 10.2007i | 0.202563 | − | 0.392917i | ||||
\(675\) | −1.13783 | + | 11.9158i | −0.0437949 | + | 0.458641i | ||||
\(676\) | 23.0517 | − | 4.44286i | 0.886605 | − | 0.170879i | ||||
\(677\) | −0.130757 | + | 2.74492i | −0.00502539 | + | 0.105496i | 0.994961 | + | 0.100263i | \(0.0319686\pi\) |
−0.999986 | + | 0.00523241i | \(0.998334\pi\) | |||||||
\(678\) | −2.91666 | + | 20.2858i | −0.112014 | + | 0.779072i | ||||
\(679\) | −29.8445 | − | 25.0713i | −1.14533 | − | 0.962150i | ||||
\(680\) | 2.84556 | + | 1.82873i | 0.109122 | + | 0.0701287i | ||||
\(681\) | −3.64594 | − | 1.26187i | −0.139713 | − | 0.0483551i | ||||
\(682\) | 34.4429 | + | 3.28890i | 1.31889 | + | 0.125938i | ||||
\(683\) | −0.822357 | − | 17.2634i | −0.0314666 | − | 0.660566i | −0.958415 | − | 0.285377i | \(-0.907881\pi\) |
0.926949 | − | 0.375188i | \(-0.122422\pi\) | |||||||
\(684\) | 1.81050 | + | 7.46296i | 0.0692260 | + | 0.285354i | ||||
\(685\) | −20.9278 | − | 18.1340i | −0.799608 | − | 0.692865i | ||||
\(686\) | −23.7582 | − | 27.5128i | −0.907093 | − | 1.05044i | ||||
\(687\) | 18.4806 | + | 8.43982i | 0.705080 | + | 0.321999i | ||||
\(688\) | −31.7009 | − | 40.3110i | −1.20859 | − | 1.53684i | ||||
\(689\) | −0.307484 | + | 0.532577i | −0.0117142 | + | 0.0202896i | ||||
\(690\) | −14.9803 | + | 35.7668i | −0.570289 | + | 1.36162i | ||||
\(691\) | 29.4333 | − | 16.9933i | 1.11970 | − | 0.646457i | 0.178372 | − | 0.983963i | \(-0.442917\pi\) |
0.941323 | + | 0.337507i | \(0.109583\pi\) | |||||||
\(692\) | −15.7071 | + | 2.25834i | −0.597095 | + | 0.0858493i | ||||
\(693\) | −11.2123 | + | 7.45055i | −0.425921 | + | 0.283023i | ||||
\(694\) | 60.5216 | − | 17.7707i | 2.29737 | − | 0.674568i | ||||
\(695\) | 12.0776 | − | 62.6647i | 0.458130 | − | 2.37701i | ||||
\(696\) | 0.274331 | + | 0.287710i | 0.0103985 | + | 0.0109056i | ||||
\(697\) | −22.0494 | + | 1.05034i | −0.835182 | + | 0.0397846i | ||||
\(698\) | −37.0007 | − | 26.3480i | −1.40050 | − | 0.997288i | ||||
\(699\) | 1.30588 | − | 1.13155i | 0.0493930 | − | 0.0427993i | ||||
\(700\) | 48.3047 | + | 33.2957i | 1.82575 | + | 1.25846i | ||||
\(701\) | −35.3794 | − | 5.08679i | −1.33626 | − | 0.192125i | −0.563129 | − | 0.826369i | \(-0.690402\pi\) |
−0.773133 | + | 0.634244i | \(0.781312\pi\) | |||||||
\(702\) | 1.04258 | − | 0.417388i | 0.0393498 | − | 0.0157533i | ||||
\(703\) | −14.1960 | − | 27.5365i | −0.535414 | − | 1.03856i | ||||
\(704\) | 6.52842 | + | 33.8727i | 0.246049 | + | 1.27662i | ||||
\(705\) | −29.2399 | + | 41.0617i | −1.10124 | + | 1.54647i | ||||
\(706\) | −4.20685 | − | 6.54598i | −0.158327 | − | 0.246361i | ||||
\(707\) | 3.78457 | − | 0.789655i | 0.142334 | − | 0.0296980i | ||||
\(708\) | 0.935188 | − | 1.07926i | 0.0351465 | − | 0.0405612i | ||||
\(709\) | −36.6432 | + | 38.4303i | −1.37616 | + | 1.44328i | −0.633058 | + | 0.774104i | \(0.718201\pi\) |
−0.743105 | + | 0.669175i | \(0.766648\pi\) | |||||||
\(710\) | 7.04536 | + | 9.89382i | 0.264408 | + | 0.371309i | ||||
\(711\) | −0.252489 | + | 0.630688i | −0.00946909 | + | 0.0236527i | ||||
\(712\) | 2.40724 | + | 4.16945i | 0.0902150 | + | 0.156257i | ||||
\(713\) | −0.263089 | + | 16.6129i | −0.00985277 | + | 0.622160i | ||||
\(714\) | 12.9859 | − | 6.94821i | 0.485985 | − | 0.260030i | ||||
\(715\) | −1.70676 | − | 11.8708i | −0.0638294 | − | 0.443943i | ||||
\(716\) | −28.8090 | + | 2.75093i | −1.07664 | + | 0.102807i | ||||
\(717\) | −0.482669 | − | 0.117094i | −0.0180256 | − | 0.00437296i | ||||
\(718\) | −20.7719 | + | 7.18923i | −0.775201 | + | 0.268300i | ||||
\(719\) | 29.1954 | − | 7.08272i | 1.08880 | − | 0.264141i | 0.349108 | − | 0.937083i | \(-0.386485\pi\) |
0.739695 | + | 0.672942i | \(0.234970\pi\) | |||||||
\(720\) | −14.8090 | + | 9.51720i | −0.551901 | + | 0.354685i | ||||
\(721\) | 6.77530 | + | 16.2010i | 0.252325 | + | 0.603356i | ||||
\(722\) | −2.33314 | − | 2.69259i | −0.0868306 | − | 0.100208i | ||||
\(723\) | −11.2257 | − | 0.534747i | −0.417489 | − | 0.0198874i | ||||
\(724\) | 21.5153 | + | 16.9198i | 0.799610 | + | 0.628821i | ||||
\(725\) | −12.9195 | − | 10.1600i | −0.479817 | − | 0.377332i | ||||
\(726\) | 29.1917 | + | 1.39057i | 1.08341 | + | 0.0516090i | ||||
\(727\) | 17.3372 | + | 20.0082i | 0.643003 | + | 0.742065i | 0.979903 | − | 0.199476i | \(-0.0639239\pi\) |
−0.336900 | + | 0.941540i | \(0.609378\pi\) | |||||||
\(728\) | −0.0557287 | + | 0.434719i | −0.00206544 | + | 0.0161117i | ||||
\(729\) | −0.841254 | + | 0.540641i | −0.0311575 | + | 0.0200237i | ||||
\(730\) | −68.2259 | + | 16.5514i | −2.52515 | + | 0.612596i | ||||
\(731\) | 32.1637 | − | 11.1320i | 1.18962 | − | 0.411731i | ||||
\(732\) | −7.69306 | − | 1.86632i | −0.284344 | − | 0.0689810i | ||||
\(733\) | −4.35567 | + | 0.415916i | −0.160880 | + | 0.0153622i | −0.175185 | − | 0.984535i | \(-0.556052\pi\) |
0.0143050 | + | 0.999898i | \(0.495446\pi\) | |||||||
\(734\) | −0.708421 | − | 4.92718i | −0.0261483 | − | 0.181865i | ||||
\(735\) | −25.8516 | + | 12.7760i | −0.953552 | + | 0.471249i | ||||
\(736\) | −36.0934 | + | 9.97999i | −1.33042 | + | 0.367867i | ||||
\(737\) | 26.0334 | + | 45.0912i | 0.958952 | + | 1.66095i | ||||
\(738\) | 5.67791 | − | 14.1827i | 0.209007 | − | 0.522073i | ||||
\(739\) | 15.9727 | + | 22.4305i | 0.587566 | + | 0.825121i | 0.996156 | − | 0.0875972i | \(-0.0279188\pi\) |
−0.408590 | + | 0.912718i | \(0.633979\pi\) | |||||||
\(740\) | −39.3561 | + | 41.2755i | −1.44676 | + | 1.51732i | ||||
\(741\) | 1.55325 | − | 1.79255i | 0.0570600 | − | 0.0658508i | ||||
\(742\) | −3.71923 | − | 4.16181i | −0.136537 | − | 0.152785i | ||||
\(743\) | 2.27642 | + | 3.54217i | 0.0835136 | + | 0.129950i | 0.880497 | − | 0.474051i | \(-0.157209\pi\) |
−0.796984 | + | 0.604001i | \(0.793572\pi\) | |||||||
\(744\) | −0.581818 | + | 0.817049i | −0.0213305 | + | 0.0299545i | ||||
\(745\) | 0.560911 | + | 2.91028i | 0.0205502 | + | 0.106625i | ||||
\(746\) | 14.2130 | + | 27.5693i | 0.520374 | + | 1.00939i | ||||
\(747\) | 8.17664 | − | 3.27343i | 0.299168 | − | 0.119769i | ||||
\(748\) | −26.4604 | − | 3.80443i | −0.967489 | − | 0.139104i | ||||
\(749\) | 5.81758 | − | 8.44002i | 0.212570 | − | 0.308392i | ||||
\(750\) | 42.5918 | − | 36.9060i | 1.55523 | − | 1.34762i | ||||
\(751\) | 43.1308 | + | 30.7133i | 1.57386 | + | 1.12074i | 0.936764 | + | 0.349962i | \(0.113805\pi\) |
0.637099 | + | 0.770782i | \(0.280134\pi\) | |||||||
\(752\) | −52.2312 | + | 2.48808i | −1.90468 | + | 0.0907310i | ||||
\(753\) | −0.0900371 | − | 0.0944282i | −0.00328113 | − | 0.00344116i | ||||
\(754\) | −0.291827 | + | 1.51414i | −0.0106277 | + | 0.0551419i | ||||
\(755\) | 58.5537 | − | 17.1929i | 2.13099 | − | 0.625714i | ||||
\(756\) | 0.308086 | + | 4.89155i | 0.0112050 | + | 0.177904i | ||||
\(757\) | 44.0006 | − | 6.32633i | 1.59923 | − | 0.229934i | 0.715734 | − | 0.698373i | \(-0.246093\pi\) |
0.883496 | + | 0.468439i | \(0.155183\pi\) | |||||||
\(758\) | −49.8190 | + | 28.7630i | −1.80951 | + | 1.04472i | ||||
\(759\) | 0.774996 | + | 24.3897i | 0.0281306 | + | 0.885291i | ||||
\(760\) | −2.47208 | + | 4.28177i | −0.0896719 | + | 0.155316i | ||||
\(761\) | 22.6666 | + | 28.8230i | 0.821665 | + | 1.04483i | 0.998166 | + | 0.0605314i | \(0.0192795\pi\) |
−0.176501 | + | 0.984300i | \(0.556478\pi\) | |||||||
\(762\) | −28.5414 | − | 13.0344i | −1.03394 | − | 0.472186i | ||||
\(763\) | −19.4355 | + | 19.1079i | −0.703613 | + | 0.691752i | ||||
\(764\) | −8.97768 | − | 7.77921i | −0.324801 | − | 0.281442i | ||||
\(765\) | −2.75442 | − | 11.3539i | −0.0995864 | − | 0.410501i | ||||
\(766\) | −1.20451 | − | 25.2857i | −0.0435205 | − | 0.913609i | ||||
\(767\) | −0.439078 | − | 0.0419269i | −0.0158542 | − | 0.00151389i | ||||
\(768\) | −17.0979 | − | 5.91766i | −0.616969 | − | 0.213535i | ||||
\(769\) | 8.67382 | + | 5.57433i | 0.312786 | + | 0.201015i | 0.687609 | − | 0.726081i | \(-0.258660\pi\) |
−0.374823 | + | 0.927096i | \(0.622297\pi\) | |||||||
\(770\) | 107.184 | + | 18.9621i | 3.86266 | + | 0.683347i | ||||
\(771\) | 1.40651 | − | 9.78249i | 0.0506542 | − | 0.352308i | ||||
\(772\) | −0.645891 | + | 13.5589i | −0.0232461 | + | 0.487996i | ||||
\(773\) | −36.2929 | + | 6.99489i | −1.30537 | + | 0.251589i | −0.794075 | − | 0.607819i | \(-0.792045\pi\) |
−0.511291 | + | 0.859408i | \(0.670832\pi\) | |||||||
\(774\) | −2.23905 | + | 23.4484i | −0.0804810 | + | 0.842835i | ||||
\(775\) | 19.0026 | − | 36.8599i | 0.682594 | − | 1.32405i | ||||
\(776\) | −4.09250 | − | 1.20167i | −0.146912 | − | 0.0431374i | ||||
\(777\) | −5.86020 | − | 18.8842i | −0.210233 | − | 0.677468i | ||||
\(778\) | −9.93072 | − | 33.8209i | −0.356034 | − | 1.21254i | ||||
\(779\) | −3.06705 | − | 32.1196i | −0.109888 | − | 1.15080i | ||||
\(780\) | −4.05358 | − | 1.62281i | −0.145141 | − | 0.0581058i | ||||
\(781\) | 6.61931 | + | 3.82166i | 0.236857 | + | 0.136750i | ||||
\(782\) | 1.69236 | − | 26.6429i | 0.0605187 | − | 0.952748i | ||||
\(783\) | − | 1.37308i | − | 0.0490700i | ||||||
\(784\) | −26.9945 | − | 12.8869i | −0.964088 | − | 0.460248i | ||||
\(785\) | 21.1092 | − | 46.2226i | 0.753419 | − | 1.64976i | ||||
\(786\) | 8.65763 | + | 8.25503i | 0.308807 | + | 0.294447i | ||||
\(787\) | −10.7244 | − | 30.9862i | −0.382284 | − | 1.10454i | −0.957970 | − | 0.286867i | \(-0.907386\pi\) |
0.575686 | − | 0.817671i | \(-0.304735\pi\) | |||||||
\(788\) | −17.5382 | + | 16.7226i | −0.624772 | + | 0.595719i | ||||
\(789\) | 13.0838 | + | 6.74519i | 0.465797 | + | 0.240135i | ||||
\(790\) | 4.99658 | − | 2.28186i | 0.177770 | − | 0.0811850i | ||||
\(791\) | 4.34945 | + | 27.2812i | 0.154649 | + | 0.970007i | ||||
\(792\) | −0.796434 | + | 1.23928i | −0.0283001 | + | 0.0440358i | ||||
\(793\) | 0.908717 | + | 2.26986i | 0.0322695 | + | 0.0806052i | ||||
\(794\) | −0.800172 | + | 1.01750i | −0.0283970 | + | 0.0361098i | ||||
\(795\) | −3.93546 | + | 2.02887i | −0.139576 | + | 0.0719566i | ||||
\(796\) | 6.38197 | − | 18.4395i | 0.226203 | − | 0.653571i | ||||
\(797\) | 19.2129 | + | 42.0705i | 0.680557 | + | 1.49021i | 0.862052 | + | 0.506820i | \(0.169179\pi\) |
−0.181495 | + | 0.983392i | \(0.558094\pi\) | |||||||
\(798\) | 11.0477 | + | 18.4764i | 0.391084 | + | 0.654059i | ||||
\(799\) | 9.77736 | − | 33.2986i | 0.345898 | − | 1.17802i | ||||
\(800\) | 91.7779 | + | 17.6887i | 3.24484 | + | 0.625392i | ||||
\(801\) | 3.92047 | − | 16.1604i | 0.138523 | − | 0.570999i | ||||
\(802\) | 18.4428 | − | 13.1330i | 0.651237 | − | 0.463744i | ||||
\(803\) | −34.7271 | + | 27.3097i | −1.22549 | + | 0.963738i | ||||
\(804\) | 18.9564 | 0.668540 | ||||||||
\(805\) | −4.99643 | + | 52.0309i | −0.176101 | + | 1.83385i | ||||
\(806\) | −3.89070 | −0.137044 | ||||||||
\(807\) | −10.8361 | + | 8.52162i | −0.381450 | + | 0.299975i | ||||
\(808\) | 0.344614 | − | 0.245398i | 0.0121235 | − | 0.00863308i | ||||
\(809\) | −0.0344793 | + | 0.142125i | −0.00121223 | + | 0.00499687i | −0.972414 | − | 0.233260i | \(-0.925061\pi\) |
0.971202 | + | 0.238257i | \(0.0765759\pi\) | |||||||
\(810\) | 7.93949 | + | 1.53021i | 0.278965 | + | 0.0537661i | ||||
\(811\) | 7.47603 | − | 25.4610i | 0.262519 | − | 0.894058i | −0.717735 | − | 0.696316i | \(-0.754821\pi\) |
0.980254 | − | 0.197742i | \(-0.0633607\pi\) | |||||||
\(812\) | −5.87898 | − | 3.27534i | −0.206312 | − | 0.114942i | ||||
\(813\) | 3.39395 | + | 7.43170i | 0.119031 | + | 0.260641i | ||||
\(814\) | −24.4110 | + | 70.5310i | −0.855606 | + | 2.47211i | ||||
\(815\) | −3.53663 | + | 1.82326i | −0.123883 | + | 0.0638660i | ||||
\(816\) | 7.49169 | − | 9.52646i | 0.262262 | − | 0.333493i | ||||
\(817\) | 18.4899 | + | 46.1855i | 0.646879 | + | 1.61583i | ||||
\(818\) | 12.9064 | − | 20.0827i | 0.451260 | − | 0.702175i | ||||
\(819\) | 1.17547 | − | 0.953866i | 0.0410743 | − | 0.0333308i | ||||
\(820\) | −54.0297 | + | 24.6746i | −1.88680 | + | 0.861673i | ||||
\(821\) | −32.1287 | − | 16.5635i | −1.12130 | − | 0.578069i | −0.205078 | − | 0.978746i | \(-0.565745\pi\) |
−0.916220 | + | 0.400676i | \(0.868775\pi\) | |||||||
\(822\) | −9.54890 | + | 9.10485i | −0.333056 | + | 0.317568i | ||||
\(823\) | 12.7948 | + | 36.9683i | 0.446000 | + | 1.28863i | 0.914291 | + | 0.405059i | \(0.132749\pi\) |
−0.468290 | + | 0.883575i | \(0.655130\pi\) | |||||||
\(824\) | 1.39075 | + | 1.32608i | 0.0484491 | + | 0.0461962i | ||||
\(825\) | 25.3011 | − | 55.4018i | 0.880873 | − | 1.92884i | ||||
\(826\) | 1.60710 | − | 3.66650i | 0.0559183 | − | 0.127574i | ||||
\(827\) | 21.7614i | 0.756718i | 0.925659 | + | 0.378359i | \(0.123511\pi\) | ||||
−0.925659 | + | 0.378359i | \(0.876489\pi\) | |||||||
\(828\) | 7.83119 | + | 4.19553i | 0.272153 | + | 0.145805i | ||||
\(829\) | −8.41968 | − | 4.86111i | −0.292428 | − | 0.168833i | 0.346609 | − | 0.938010i | \(-0.387333\pi\) |
−0.639036 | + | 0.769177i | \(0.720667\pi\) | |||||||
\(830\) | −66.1131 | − | 26.4677i | −2.29482 | − | 0.918707i | ||||
\(831\) | −0.245163 | − | 2.56746i | −0.00850460 | − | 0.0890642i | ||||
\(832\) | −1.09286 | − | 3.72194i | −0.0378881 | − | 0.129035i | ||||
\(833\) | 13.9422 | − | 14.1331i | 0.483067 | − | 0.489683i | ||||
\(834\) | −29.1752 | − | 8.56661i | −1.01025 | − | 0.296638i | ||||
\(835\) | 19.2720 | − | 37.3825i | 0.666936 | − | 1.29368i | ||||
\(836\) | 3.71425 | − | 38.8974i | 0.128460 | − | 1.34529i | ||||
\(837\) | 3.40187 | − | 0.655656i | 0.117586 | − | 0.0226628i | ||||
\(838\) | −2.43780 | + | 51.1758i | −0.0842125 | + | 1.76784i | ||||
\(839\) | 5.57404 | − | 38.7683i | 0.192437 | − | 1.33843i | −0.633094 | − | 0.774075i | \(-0.718215\pi\) |
0.825531 | − | 0.564356i | \(-0.190875\pi\) | |||||||
\(840\) | −2.02969 | + | 2.41611i | −0.0700310 | + | 0.0833638i | ||||
\(841\) | −22.8103 | − | 14.6593i | −0.786562 | − | 0.505493i | ||||
\(842\) | −27.2544 | − | 9.43284i | −0.939249 | − | 0.325077i | ||||
\(843\) | −5.51703 | − | 0.526813i | −0.190017 | − | 0.0181444i | ||||
\(844\) | 1.72324 | + | 36.1752i | 0.0593163 | + | 1.24520i | ||||
\(845\) | −12.3077 | − | 50.7330i | −0.423397 | − | 1.74527i | ||||
\(846\) | 18.1515 | + | 15.7284i | 0.624062 | + | 0.540753i | ||||
\(847\) | 38.1370 | − | 9.87212i | 1.31040 | − | 0.339210i | ||||
\(848\) | −4.17789 | − | 1.90798i | −0.143469 | − | 0.0655202i | ||||
\(849\) | −7.53814 | − | 9.58552i | −0.258708 | − | 0.328974i | ||||
\(850\) | −33.3164 | + | 57.7057i | −1.14274 | + | 1.97929i | ||||
\(851\) | −34.6924 | − | 9.00027i | −1.18924 | − | 0.308525i | ||||
\(852\) | 2.40995 | − | 1.39138i | 0.0825634 | − | 0.0476680i | ||||
\(853\) | 31.2411 | − | 4.49179i | 1.06967 | − | 0.153796i | 0.415086 | − | 0.909782i | \(-0.363751\pi\) |
0.654587 | + | 0.755986i | \(0.272842\pi\) | |||||||
\(854\) | −22.1473 | + | 1.39491i | −0.757864 | + | 0.0477328i | ||||
\(855\) | 16.3854 | − | 4.81117i | 0.560367 | − | 0.164539i | ||||
\(856\) | 0.212288 | − | 1.10145i | 0.00725585 | − | 0.0376469i | ||||
\(857\) | 15.9755 | + | 16.7546i | 0.545713 | + | 0.572328i | 0.937613 | − | 0.347680i | \(-0.113031\pi\) |
−0.391900 | + | 0.920008i | \(0.628182\pi\) | |||||||
\(858\) | −5.70769 | + | 0.271891i | −0.194857 | + | 0.00928220i | ||||
\(859\) | −4.23421 | − | 3.01517i | −0.144470 | − | 0.102876i | 0.505537 | − | 0.862805i | \(-0.331294\pi\) |
−0.650006 | + | 0.759929i | \(0.725234\pi\) | |||||||
\(860\) | 69.2133 | − | 59.9737i | 2.36015 | − | 2.04509i | ||||
\(861\) | 1.64361 | − | 20.5272i | 0.0560142 | − | 0.699565i | ||||
\(862\) | −15.6470 | − | 2.24970i | −0.532939 | − | 0.0766250i | ||||
\(863\) | −42.2638 | + | 16.9199i | −1.43868 | + | 0.575959i | −0.954286 | − | 0.298893i | \(-0.903382\pi\) |
−0.484390 | + | 0.874852i | \(0.660958\pi\) | |||||||
\(864\) | 3.57802 | + | 6.94039i | 0.121727 | + | 0.236117i | ||||
\(865\) | 6.67825 | + | 34.6501i | 0.227067 | + | 1.17814i | ||||
\(866\) | 15.0168 | − | 21.0881i | 0.510291 | − | 0.716604i | ||||
\(867\) | −4.84228 | − | 7.53474i | −0.164453 | − | 0.255893i | ||||
\(868\) | 5.30753 | − | 16.1294i | 0.180149 | − | 0.547468i | ||||
\(869\) | 2.26363 | − | 2.61237i | 0.0767884 | − | 0.0886185i | ||||
\(870\) | −7.66140 | + | 8.03504i | −0.259746 | + | 0.272413i | ||||
\(871\) | −3.39617 | − | 4.76925i | −0.115075 | − | 0.161600i | ||||
\(872\) | −1.10848 | + | 2.76886i | −0.0375380 | + | 0.0937654i | ||||
\(873\) | 7.36611 | + | 12.7585i | 0.249305 | + | 0.431809i | ||||
\(874\) | 39.0169 | + | 0.617887i | 1.31977 | + | 0.0209004i | ||||
\(875\) | 40.0884 | − | 64.5286i | 1.35524 | − | 2.18147i | ||||
\(876\) | 2.28908 | + | 15.9209i | 0.0773410 | + | 0.537918i | ||||
\(877\) | 40.8320 | − | 3.89898i | 1.37880 | − | 0.131659i | 0.620827 | − | 0.783948i | \(-0.286797\pi\) |
0.757971 | + | 0.652288i | \(0.226191\pi\) | |||||||
\(878\) | −64.8337 | − | 15.7285i | −2.18803 | − | 0.530811i | ||||
\(879\) | 12.8817 | − | 4.45838i | 0.434487 | − | 0.150378i | ||||
\(880\) | 87.0451 | − | 21.1169i | 2.93429 | − | 0.711851i | ||||
\(881\) | −20.0606 | + | 12.8921i | −0.675858 | + | 0.434347i | −0.833033 | − | 0.553223i | \(-0.813398\pi\) |
0.157175 | + | 0.987571i | \(0.449761\pi\) | |||||||
\(882\) | 4.88888 | + | 12.8402i | 0.164617 | + | 0.432353i | ||||
\(883\) | 16.4088 | + | 18.9368i | 0.552200 | + | 0.637273i | 0.961394 | − | 0.275174i | \(-0.0887356\pi\) |
−0.409194 | + | 0.912447i | \(0.634190\pi\) | |||||||
\(884\) | 3.00265 | + | 0.143034i | 0.100990 | + | 0.00481076i | ||||
\(885\) | −2.49624 | − | 1.96307i | −0.0839102 | − | 0.0659877i | ||||
\(886\) | 43.2353 | + | 34.0006i | 1.45252 | + | 1.14227i | ||||
\(887\) | −52.9308 | − | 2.52141i | −1.77724 | − | 0.0846605i | −0.866892 | − | 0.498496i | \(-0.833886\pi\) |
−0.910352 | + | 0.413836i | \(0.864189\pi\) | |||||||
\(888\) | −1.41691 | − | 1.63520i | −0.0475485 | − | 0.0548738i | ||||
\(889\) | −41.9515 | − | 5.37796i | −1.40701 | − | 0.180371i | ||||
\(890\) | −113.112 | + | 72.6927i | −3.79153 | + | 2.43667i | ||||
\(891\) | 4.94475 | − | 1.19958i | 0.165655 | − | 0.0401875i | ||||
\(892\) | 0.816113 | − | 0.282459i | 0.0273255 | − | 0.00945744i | ||||
\(893\) | 49.2968 | + | 11.9593i | 1.64965 | + | 0.400202i | ||||
\(894\) | 1.40577 | − | 0.134235i | 0.0470159 | − | 0.00448948i | ||||
\(895\) | 9.15872 | + | 63.7003i | 0.306142 | + | 2.12927i | ||||
\(896\) | −6.10814 | − | 0.197359i | −0.204059 | − | 0.00659330i | ||||
\(897\) | −0.347455 | − | 2.72191i | −0.0116012 | − | 0.0908819i | ||||
\(898\) | −29.3577 | − | 50.8490i | −0.979679 | − | 1.69685i | ||||
\(899\) | −1.76800 | + | 4.41625i | −0.0589662 | + | 0.147290i | ||||
\(900\) | −12.8624 | − | 18.0628i | −0.428748 | − | 0.602093i | ||||
\(901\) | 2.10355 | − | 2.20614i | 0.0700793 | − | 0.0734970i | ||||
\(902\) | −50.9038 | + | 58.7462i | −1.69491 | + | 1.95603i | ||||
\(903\) | 6.48529 | + | 31.0820i | 0.215817 | + | 1.03434i | ||||
\(904\) | 1.63438 | + | 2.54314i | 0.0543586 | + | 0.0845837i | ||||
\(905\) | 35.3062 | − | 49.5806i | 1.17362 | − | 1.64812i | ||||
\(906\) | −5.50276 | − | 28.5510i | −0.182817 | − | 0.948544i | ||||
\(907\) | 3.47481 | + | 6.74018i | 0.115379 | + | 0.223804i | 0.939453 | − | 0.342678i | \(-0.111334\pi\) |
−0.824074 | + | 0.566483i | \(0.808304\pi\) | |||||||
\(908\) | 6.63521 | − | 2.65634i | 0.220197 | − | 0.0881537i | ||||
\(909\) | −1.44637 | − | 0.207956i | −0.0479730 | − | 0.00689747i | ||||
\(910\) | −12.2010 | − | 0.976929i | −0.404458 | − | 0.0323849i | ||||
\(911\) | 31.4189 | − | 27.2246i | 1.04095 | − | 0.901991i | 0.0456653 | − | 0.998957i | \(-0.485459\pi\) |
0.995288 | + | 0.0969659i | \(0.0309138\pi\) | |||||||
\(912\) | 14.4299 | + | 10.2755i | 0.477821 | + | 0.340255i | ||||
\(913\) | −44.7636 | + | 2.13235i | −1.48146 | + | 0.0705706i | ||||
\(914\) | 26.9271 | + | 28.2403i | 0.890669 | + | 0.934107i | ||||
\(915\) | −3.33150 | + | 17.2855i | −0.110136 | + | 0.571440i | ||||
\(916\) | −36.1118 | + | 10.6034i | −1.19317 | + | 0.350346i | ||||
\(917\) | 14.4438 | + | 7.16873i | 0.476976 | + | 0.236732i | ||||
\(918\) | −5.50996 | + | 0.792213i | −0.181856 | + | 0.0261469i | ||||
\(919\) | 43.6072 | − | 25.1766i | 1.43847 | − | 0.830501i | 0.440726 | − | 0.897642i | \(-0.354721\pi\) |
0.997743 | + | 0.0671411i | \(0.0213878\pi\) | |||||||
\(920\) | 1.78496 | + | 5.43421i | 0.0588482 | + | 0.179161i | ||||
\(921\) | −3.16406 | + | 5.48031i | −0.104259 | + | 0.180582i | ||||
\(922\) | −1.43593 | − | 1.82593i | −0.0472899 | − | 0.0601340i | ||||
\(923\) | −0.781818 | − | 0.357044i | −0.0257338 | − | 0.0117523i | ||||
\(924\) | 6.65903 | − | 24.0329i | 0.219066 | − | 0.790624i | ||||
\(925\) | 67.6065 | + | 58.5814i | 2.22289 | + | 1.92614i | ||||
\(926\) | −5.58831 | − | 23.0353i | −0.183643 | − | 0.756988i | ||||
\(927\) | −0.315816 | − | 6.62978i | −0.0103727 | − | 0.217751i | ||||
\(928\) | −10.6730 | − | 1.01915i | −0.350360 | − | 0.0334553i | ||||
\(929\) | −55.3303 | − | 19.1500i | −1.81533 | − | 0.628291i | −0.998692 | − | 0.0511386i | \(-0.983715\pi\) |
−0.816636 | − | 0.577152i | \(-0.804164\pi\) | |||||||
\(930\) | −23.5655 | − | 15.1446i | −0.772743 | − | 0.496612i | ||||
\(931\) | 21.6043 | + | 19.3729i | 0.708052 | + | 0.634922i | ||||
\(932\) | −0.455547 | + | 3.16840i | −0.0149219 | + | 0.103784i | ||||
\(933\) | 0.301179 | − | 6.32253i | 0.00986016 | − | 0.206990i | ||||
\(934\) | 4.71334 | − | 0.908422i | 0.154225 | − | 0.0297245i | ||||
\(935\) | −5.65073 | + | 59.1771i | −0.184798 | + | 1.93530i | ||||
\(936\) | 0.0759065 | − | 0.147238i | 0.00248108 | − | 0.00481263i | ||||
\(937\) | −22.9349 | − | 6.73429i | −0.749250 | − | 0.220000i | −0.115254 | − | 0.993336i | \(-0.536768\pi\) |
−0.633996 | + | 0.773336i | \(0.718586\pi\) | |||||||
\(938\) | 50.7521 | − | 15.7495i | 1.65712 | − | 0.514240i | ||||
\(939\) | −4.05966 | − | 13.8259i | −0.132482 | − | 0.451192i | ||||
\(940\) | −8.87651 | − | 92.9590i | −0.289520 | − | 3.03199i | ||||
\(941\) | 18.3921 | + | 7.36308i | 0.599565 | + | 0.240030i | 0.651534 | − | 0.758619i | \(-0.274126\pi\) |
−0.0519695 | + | 0.998649i | \(0.516550\pi\) | |||||||
\(942\) | −20.9676 | − | 12.1057i | −0.683162 | − | 0.394424i | ||||
\(943\) | −30.0597 | − | 22.1310i | −0.978878 | − | 0.720685i | ||||
\(944\) | − | 3.29421i | − | 0.107218i | ||||||
\(945\) | 10.8326 | − | 1.20190i | 0.352385 | − | 0.0390979i | ||||
\(946\) | 49.7884 | − | 109.021i | 1.61876 | − | 3.54459i | ||||
\(947\) | 27.8788 | + | 26.5824i | 0.905939 | + | 0.863811i | 0.991176 | − | 0.132549i | \(-0.0423163\pi\) |
−0.0852371 | + | 0.996361i | \(0.527165\pi\) | |||||||
\(948\) | −0.411613 | − | 1.18928i | −0.0133686 | − | 0.0386260i | ||||
\(949\) | 3.59545 | − | 3.42826i | 0.116713 | − | 0.111286i | ||||
\(950\) | −86.5687 | − | 44.6293i | −2.80866 | − | 1.44796i | ||||
\(951\) | −0.632085 | + | 0.288664i | −0.0204968 | + | 0.00936056i | ||||
\(952\) | 0.776465 | − | 2.02895i | 0.0251654 | − | 0.0657585i | ||||
\(953\) | 18.7940 | − | 29.2440i | 0.608797 | − | 0.947306i | −0.390843 | − | 0.920457i | \(-0.627816\pi\) |
0.999640 | − | 0.0268486i | \(-0.00854721\pi\) | |||||||
\(954\) | 0.784065 | + | 1.95850i | 0.0253850 | + | 0.0634087i | ||||
\(955\) | −16.3294 | + | 20.7646i | −0.528408 | + | 0.671926i | ||||
\(956\) | 0.817797 | − | 0.421604i | 0.0264494 | − | 0.0136356i | ||||
\(957\) | −2.28506 | + | 6.60223i | −0.0738653 | + | 0.213420i | ||||
\(958\) | −30.2323 | − | 66.1996i | −0.976763 | − | 2.13881i | ||||
\(959\) | −8.65578 | + | 15.5365i | −0.279510 | + | 0.501698i | ||||
\(960\) | 7.86839 | − | 26.7973i | 0.253951 | − | 0.864878i | ||||
\(961\) | 18.6541 | + | 3.59529i | 0.601746 | + | 0.115977i | ||||
\(962\) | 1.97867 | − | 8.15620i | 0.0637949 | − | 0.262966i | ||||
\(963\) | −3.15601 | + | 2.24739i | −0.101701 | + | 0.0724210i | ||||
\(964\) | 16.3650 | − | 12.8696i | 0.527080 | − | 0.414500i | ||||
\(965\) | 30.1858 | 0.971714 | ||||||||
\(966\) | 24.4523 | + | 4.72635i | 0.786739 | + | 0.152068i | ||||
\(967\) | 2.81788 | 0.0906168 | 0.0453084 | − | 0.998973i | \(-0.485573\pi\) | ||||
0.0453084 | + | 0.998973i | \(0.485573\pi\) | |||||||
\(968\) | 3.38853 | − | 2.66477i | 0.108912 | − | 0.0856490i | ||||
\(969\) | −9.57690 | + | 6.81968i | −0.307654 | + | 0.219080i | ||||
\(970\) | 28.0834 | − | 115.761i | 0.901702 | − | 3.71687i | ||||
\(971\) | 44.6942 | + | 8.61410i | 1.43431 | + | 0.276440i | 0.846425 | − | 0.532508i | \(-0.178750\pi\) |
0.587881 | + | 0.808948i | \(0.299962\pi\) | |||||||
\(972\) | 0.521908 | − | 1.77746i | 0.0167402 | − | 0.0570119i | ||||
\(973\) | −40.9826 | + | 0.627094i | −1.31384 | + | 0.0201037i | ||||
\(974\) | −0.443139 | − | 0.970339i | −0.0141991 | − | 0.0310917i | ||||
\(975\) | −2.24003 | + | 6.47214i | −0.0717384 | + | 0.207274i | ||||
\(976\) | −16.2308 | + | 8.36756i | −0.519535 | + | 0.267839i | ||||
\(977\) | 25.0661 | − | 31.8741i | 0.801935 | − | 1.01974i | −0.197288 | − | 0.980345i | \(-0.563214\pi\) |
0.999224 | − | 0.0393981i | \(-0.0125440\pi\) | |||||||
\(978\) | 0.704606 | + | 1.76002i | 0.0225308 | + | 0.0562792i | ||||
\(979\) | −45.7447 | + | 71.1801i | −1.46201 | + | 2.27493i | ||||
\(980\) | 20.6940 | − | 49.2479i | 0.661046 | − | 1.57317i | ||||
\(981\) | 9.37060 | − | 4.27941i | 0.299180 | − | 0.136631i | ||||
\(982\) | 71.7866 | + | 37.0086i | 2.29080 | + | 1.18099i | ||||
\(983\) | −31.7247 | + | 30.2494i | −1.01186 | + | 0.964806i | −0.999383 | − | 0.0351160i | \(-0.988820\pi\) |
−0.0124763 | + | 0.999922i | \(0.503971\pi\) | |||||||
\(984\) | −0.737031 | − | 2.12951i | −0.0234957 | − | 0.0678863i | ||||
\(985\) | 39.0004 | + | 37.1868i | 1.24266 | + | 1.18487i | ||||
\(986\) | 3.17520 | − | 6.95271i | 0.101119 | − | 0.221419i | ||||
\(987\) | 29.6519 | + | 12.9970i | 0.943829 | + | 0.413700i | ||||
\(988\) | 4.39389i | 0.139788i | ||||||||
\(989\) | 54.0839 | + | 19.6830i | 1.71977 | + | 0.625883i | ||||
\(990\) | −35.6291 | − | 20.5705i | −1.13237 | − | 0.653773i | ||||
\(991\) | −7.88675 | − | 3.15738i | −0.250531 | − | 0.100297i | 0.242998 | − | 0.970027i | \(-0.421869\pi\) |
−0.493529 | + | 0.869729i | \(0.664293\pi\) | |||||||
\(992\) | −2.57146 | − | 26.9295i | −0.0816438 | − | 0.855013i | ||||
\(993\) | 5.12438 | + | 17.4520i | 0.162617 | + | 0.553824i | ||||
\(994\) | 5.29617 | − | 5.72742i | 0.167984 | − | 0.181663i | ||||
\(995\) | −41.6335 | − | 12.2247i | −1.31987 | − | 0.387549i | ||||
\(996\) | −7.47639 | + | 14.5022i | −0.236899 | + | 0.459519i | ||||
\(997\) | −1.64006 | + | 17.1755i | −0.0519413 | + | 0.543954i | 0.931627 | + | 0.363416i | \(0.118390\pi\) |
−0.983568 | + | 0.180537i | \(0.942216\pi\) | |||||||
\(998\) | −33.7691 | + | 6.50845i | −1.06894 | + | 0.206022i | ||||
\(999\) | −0.355596 | + | 7.46488i | −0.0112506 | + | 0.236178i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 483.2.bf.a.388.27 | yes | 640 | |
7.5 | odd | 6 | inner | 483.2.bf.a.250.6 | yes | 640 | |
23.15 | odd | 22 | inner | 483.2.bf.a.199.6 | yes | 640 | |
161.61 | even | 66 | inner | 483.2.bf.a.61.27 | ✓ | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.61.27 | ✓ | 640 | 161.61 | even | 66 | inner | |
483.2.bf.a.199.6 | yes | 640 | 23.15 | odd | 22 | inner | |
483.2.bf.a.250.6 | yes | 640 | 7.5 | odd | 6 | inner | |
483.2.bf.a.388.27 | yes | 640 | 1.1 | even | 1 | trivial |