Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(22,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([14, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.v (of order \(9\), degree \(6\), 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(54\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 169.9 | ||
Character | \(\chi\) | \(=\) | 189.169 |
Dual form | 189.2.v.a.85.9 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.16628 | − | 0.788461i | 1.53179 | − | 0.557526i | 0.567731 | − | 0.823214i | \(-0.307821\pi\) |
0.964059 | + | 0.265688i | \(0.0855991\pi\) | |||||||
\(3\) | −0.782354 | + | 1.54529i | −0.451692 | + | 0.892174i | ||||
\(4\) | 2.53900 | − | 2.13048i | 1.26950 | − | 1.06524i | ||||
\(5\) | 0.276602 | + | 1.56869i | 0.123700 | + | 0.701538i | 0.982071 | + | 0.188509i | \(0.0603656\pi\) |
−0.858371 | + | 0.513029i | \(0.828523\pi\) | |||||||
\(6\) | −0.476396 | + | 3.96438i | −0.194488 | + | 1.61845i | ||||
\(7\) | 0.766044 | + | 0.642788i | 0.289538 | + | 0.242951i | ||||
\(8\) | 1.51508 | − | 2.62420i | 0.535663 | − | 0.927796i | ||||
\(9\) | −1.77584 | − | 2.41793i | −0.591948 | − | 0.805976i | ||||
\(10\) | 1.83605 | + | 3.18012i | 0.580609 | + | 1.00564i | ||||
\(11\) | 0.665444 | − | 3.77392i | 0.200639 | − | 1.13788i | −0.703518 | − | 0.710678i | \(-0.748388\pi\) |
0.904156 | − | 0.427202i | \(-0.140501\pi\) | |||||||
\(12\) | 1.30580 | + | 5.59028i | 0.376953 | + | 1.61378i | ||||
\(13\) | −2.53851 | − | 0.923941i | −0.704055 | − | 0.256255i | −0.0349138 | − | 0.999390i | \(-0.511116\pi\) |
−0.669141 | + | 0.743135i | \(0.733338\pi\) | |||||||
\(14\) | 2.16628 | + | 0.788461i | 0.578962 | + | 0.210725i | ||||
\(15\) | −2.64048 | − | 0.799839i | −0.681769 | − | 0.206518i | ||||
\(16\) | 0.0619224 | − | 0.351179i | 0.0154806 | − | 0.0877948i | ||||
\(17\) | −1.47643 | − | 2.55724i | −0.358086 | − | 0.620223i | 0.629555 | − | 0.776956i | \(-0.283237\pi\) |
−0.987641 | + | 0.156733i | \(0.949904\pi\) | |||||||
\(18\) | −5.75341 | − | 3.83772i | −1.35609 | − | 0.904560i | ||||
\(19\) | 1.47309 | − | 2.55147i | 0.337950 | − | 0.585347i | −0.646097 | − | 0.763256i | \(-0.723600\pi\) |
0.984047 | + | 0.177908i | \(0.0569331\pi\) | |||||||
\(20\) | 4.04434 | + | 3.39361i | 0.904343 | + | 0.758834i | ||||
\(21\) | −1.59261 | + | 0.680873i | −0.347536 | + | 0.148579i | ||||
\(22\) | −1.53405 | − | 8.70004i | −0.327061 | − | 1.85485i | ||||
\(23\) | −2.49939 | + | 2.09724i | −0.521160 | + | 0.437305i | −0.865036 | − | 0.501710i | \(-0.832704\pi\) |
0.343876 | + | 0.939015i | \(0.388260\pi\) | |||||||
\(24\) | 2.86982 | + | 4.39430i | 0.585800 | + | 0.896983i | ||||
\(25\) | 2.31419 | − | 0.842297i | 0.462838 | − | 0.168459i | ||||
\(26\) | −6.22760 | −1.22133 | ||||||||
\(27\) | 5.12574 | − | 0.852516i | 0.986449 | − | 0.164067i | ||||
\(28\) | 3.31443 | 0.626369 | ||||||||
\(29\) | −6.77348 | + | 2.46535i | −1.25780 | + | 0.457803i | −0.883032 | − | 0.469314i | \(-0.844501\pi\) |
−0.374772 | + | 0.927117i | \(0.622279\pi\) | |||||||
\(30\) | −6.35065 | + | 0.349239i | −1.15947 | + | 0.0637621i | ||||
\(31\) | −3.47133 | + | 2.91279i | −0.623470 | + | 0.523153i | −0.898892 | − | 0.438170i | \(-0.855627\pi\) |
0.275422 | + | 0.961323i | \(0.411182\pi\) | |||||||
\(32\) | 0.909616 | + | 5.15869i | 0.160799 | + | 0.911936i | ||||
\(33\) | 5.31119 | + | 3.98085i | 0.924559 | + | 0.692976i | ||||
\(34\) | −5.21464 | − | 4.37560i | −0.894303 | − | 0.750409i | ||||
\(35\) | −0.796444 | + | 1.37948i | −0.134624 | + | 0.233175i | ||||
\(36\) | −9.66021 | − | 2.35574i | −1.61004 | − | 0.392623i | ||||
\(37\) | 4.88076 | + | 8.45372i | 0.802391 | + | 1.38978i | 0.918038 | + | 0.396492i | \(0.129773\pi\) |
−0.115647 | + | 0.993290i | \(0.536894\pi\) | |||||||
\(38\) | 1.17939 | − | 6.68867i | 0.191323 | − | 1.08505i | ||||
\(39\) | 3.41377 | − | 3.19988i | 0.546640 | − | 0.512391i | ||||
\(40\) | 4.53563 | + | 1.65083i | 0.717146 | + | 0.261020i | ||||
\(41\) | −4.91556 | − | 1.78912i | −0.767682 | − | 0.279413i | −0.0716553 | − | 0.997429i | \(-0.522828\pi\) |
−0.696026 | + | 0.718016i | \(0.745050\pi\) | |||||||
\(42\) | −2.91320 | + | 2.73067i | −0.449516 | + | 0.421352i | ||||
\(43\) | 2.16681 | − | 12.2886i | 0.330435 | − | 1.87399i | −0.137907 | − | 0.990445i | \(-0.544037\pi\) |
0.468342 | − | 0.883547i | \(-0.344852\pi\) | |||||||
\(44\) | −6.35068 | − | 10.9997i | −0.957401 | − | 1.65827i | ||||
\(45\) | 3.30177 | − | 3.45455i | 0.492199 | − | 0.514974i | ||||
\(46\) | −3.76079 | + | 6.51388i | −0.554498 | + | 0.960419i | ||||
\(47\) | 4.32481 | + | 3.62895i | 0.630839 | + | 0.529337i | 0.901190 | − | 0.433425i | \(-0.142695\pi\) |
−0.270351 | + | 0.962762i | \(0.587140\pi\) | |||||||
\(48\) | 0.494229 | + | 0.370435i | 0.0713358 | + | 0.0534676i | ||||
\(49\) | 0.173648 | + | 0.984808i | 0.0248069 | + | 0.140687i | ||||
\(50\) | 4.34906 | − | 3.64930i | 0.615051 | − | 0.516089i | ||||
\(51\) | 5.10677 | − | 0.280835i | 0.715091 | − | 0.0393248i | ||||
\(52\) | −8.41371 | + | 3.06234i | −1.16677 | + | 0.424670i | ||||
\(53\) | −4.32978 | −0.594741 | −0.297370 | − | 0.954762i | \(-0.596110\pi\) | ||||
−0.297370 | + | 0.954762i | \(0.596110\pi\) | |||||||
\(54\) | 10.4316 | − | 5.88823i | 1.41956 | − | 0.801287i | ||||
\(55\) | 6.10416 | 0.823085 | ||||||||
\(56\) | 2.84743 | − | 1.03638i | 0.380503 | − | 0.138492i | ||||
\(57\) | 2.79028 | + | 4.27251i | 0.369582 | + | 0.565907i | ||||
\(58\) | −12.7294 | + | 10.6812i | −1.67145 | + | 1.40252i | ||||
\(59\) | −1.02409 | − | 5.80790i | −0.133325 | − | 0.756124i | −0.976011 | − | 0.217719i | \(-0.930138\pi\) |
0.842686 | − | 0.538405i | \(-0.180973\pi\) | |||||||
\(60\) | −8.40822 | + | 3.59468i | −1.08550 | + | 0.464071i | ||||
\(61\) | 8.74834 | + | 7.34073i | 1.12011 | + | 0.939884i | 0.998610 | − | 0.0527078i | \(-0.0167852\pi\) |
0.121500 | + | 0.992591i | \(0.461230\pi\) | |||||||
\(62\) | −5.22325 | + | 9.04693i | −0.663353 | + | 1.14896i | ||||
\(63\) | 0.193840 | − | 2.99373i | 0.0244215 | − | 0.377175i | ||||
\(64\) | 6.39450 | + | 11.0756i | 0.799313 | + | 1.38445i | ||||
\(65\) | 0.747219 | − | 4.23769i | 0.0926811 | − | 0.525620i | ||||
\(66\) | 14.6443 | + | 4.43596i | 1.80258 | + | 0.546029i | ||||
\(67\) | 11.0049 | + | 4.00547i | 1.34447 | + | 0.489346i | 0.911217 | − | 0.411928i | \(-0.135144\pi\) |
0.433250 | + | 0.901274i | \(0.357367\pi\) | |||||||
\(68\) | −9.19680 | − | 3.34736i | −1.11528 | − | 0.405927i | ||||
\(69\) | −1.28543 | − | 5.50307i | −0.154748 | − | 0.662492i | ||||
\(70\) | −0.637652 | + | 3.61630i | −0.0762140 | + | 0.432231i | ||||
\(71\) | −2.86587 | − | 4.96383i | −0.340116 | − | 0.589098i | 0.644338 | − | 0.764741i | \(-0.277133\pi\) |
−0.984454 | + | 0.175643i | \(0.943800\pi\) | |||||||
\(72\) | −9.03569 | + | 0.996807i | −1.06487 | + | 0.117475i | ||||
\(73\) | −6.41298 | + | 11.1076i | −0.750583 | + | 1.30005i | 0.196958 | + | 0.980412i | \(0.436894\pi\) |
−0.947541 | + | 0.319636i | \(0.896439\pi\) | |||||||
\(74\) | 17.2385 | + | 14.4648i | 2.00394 | + | 1.68150i | ||||
\(75\) | −0.508925 | + | 4.23507i | −0.0587656 | + | 0.489024i | ||||
\(76\) | −1.69566 | − | 9.61657i | −0.194506 | − | 1.10310i | ||||
\(77\) | 2.93559 | − | 2.46325i | 0.334541 | − | 0.280714i | ||||
\(78\) | 4.87219 | − | 9.62345i | 0.551667 | − | 1.08964i | ||||
\(79\) | 4.96308 | − | 1.80641i | 0.558390 | − | 0.203237i | −0.0473801 | − | 0.998877i | \(-0.515087\pi\) |
0.605770 | + | 0.795639i | \(0.292865\pi\) | |||||||
\(80\) | 0.568018 | 0.0635064 | ||||||||
\(81\) | −2.69276 | + | 8.58773i | −0.299196 | + | 0.954192i | ||||
\(82\) | −12.0591 | −1.33171 | ||||||||
\(83\) | 1.95374 | − | 0.711102i | 0.214450 | − | 0.0780536i | −0.232561 | − | 0.972582i | \(-0.574711\pi\) |
0.447011 | + | 0.894528i | \(0.352488\pi\) | |||||||
\(84\) | −2.59306 | + | 5.12176i | −0.282926 | + | 0.558830i | ||||
\(85\) | 3.60314 | − | 3.02339i | 0.390815 | − | 0.327933i | ||||
\(86\) | −4.99516 | − | 28.3290i | −0.538642 | − | 3.05479i | ||||
\(87\) | 1.48959 | − | 12.3958i | 0.159701 | − | 1.32897i | ||||
\(88\) | −8.89532 | − | 7.46406i | −0.948245 | − | 0.795672i | ||||
\(89\) | −6.51492 | + | 11.2842i | −0.690580 | + | 1.19612i | 0.281069 | + | 0.959688i | \(0.409311\pi\) |
−0.971648 | + | 0.236431i | \(0.924022\pi\) | |||||||
\(90\) | 4.42878 | − | 10.0868i | 0.466835 | − | 1.06325i | ||||
\(91\) | −1.35071 | − | 2.33950i | −0.141593 | − | 0.245246i | ||||
\(92\) | −1.87785 | + | 10.6498i | −0.195779 | + | 1.11032i | ||||
\(93\) | −1.78530 | − | 7.64305i | −0.185127 | − | 0.792548i | ||||
\(94\) | 12.2300 | + | 4.45137i | 1.26143 | + | 0.459124i | ||||
\(95\) | 4.40992 | + | 1.60508i | 0.452448 | + | 0.164678i | ||||
\(96\) | −8.68331 | − | 2.63030i | −0.886237 | − | 0.268454i | ||||
\(97\) | 2.45003 | − | 13.8948i | 0.248763 | − | 1.41080i | −0.562826 | − | 0.826576i | \(-0.690286\pi\) |
0.811589 | − | 0.584229i | \(-0.198603\pi\) | |||||||
\(98\) | 1.15265 | + | 1.99645i | 0.116435 | + | 0.201672i | ||||
\(99\) | −10.3068 | + | 5.09289i | −1.03587 | + | 0.511855i | ||||
\(100\) | 4.08124 | − | 7.06892i | 0.408124 | − | 0.706892i | ||||
\(101\) | −11.9315 | − | 10.0117i | −1.18723 | − | 0.996204i | −0.999903 | − | 0.0139065i | \(-0.995573\pi\) |
−0.187327 | − | 0.982298i | \(-0.559982\pi\) | |||||||
\(102\) | 10.8413 | − | 4.63486i | 1.07345 | − | 0.458919i | ||||
\(103\) | −1.02675 | − | 5.82297i | −0.101168 | − | 0.573755i | −0.992682 | − | 0.120760i | \(-0.961467\pi\) |
0.891513 | − | 0.452995i | \(-0.149644\pi\) | |||||||
\(104\) | −6.27066 | + | 5.26171i | −0.614889 | + | 0.515953i | ||||
\(105\) | −1.50860 | − | 2.30998i | −0.147224 | − | 0.225431i | ||||
\(106\) | −9.37951 | + | 3.41386i | −0.911018 | + | 0.331584i | ||||
\(107\) | 4.62887 | 0.447490 | 0.223745 | − | 0.974648i | \(-0.428172\pi\) | ||||
0.223745 | + | 0.974648i | \(0.428172\pi\) | |||||||
\(108\) | 11.1980 | − | 13.0848i | 1.07753 | − | 1.25909i | ||||
\(109\) | 1.02008 | 0.0977063 | 0.0488531 | − | 0.998806i | \(-0.484443\pi\) | ||||
0.0488531 | + | 0.998806i | \(0.484443\pi\) | |||||||
\(110\) | 13.2233 | − | 4.81289i | 1.26079 | − | 0.458891i | ||||
\(111\) | −16.8819 | + | 0.928382i | −1.60236 | + | 0.0881181i | ||||
\(112\) | 0.273169 | − | 0.229216i | 0.0258120 | − | 0.0216589i | ||||
\(113\) | 3.27864 | + | 18.5941i | 0.308429 | + | 1.74919i | 0.606910 | + | 0.794770i | \(0.292409\pi\) |
−0.298482 | + | 0.954415i | \(0.596480\pi\) | |||||||
\(114\) | 9.41323 | + | 7.05541i | 0.881630 | + | 0.660800i | ||||
\(115\) | −3.98125 | − | 3.34067i | −0.371254 | − | 0.311519i | ||||
\(116\) | −11.9455 | + | 20.6903i | −1.10911 | + | 1.92104i | ||||
\(117\) | 2.27397 | + | 7.77870i | 0.210228 | + | 0.719141i | ||||
\(118\) | −6.79776 | − | 11.7741i | −0.625785 | − | 1.08389i | ||||
\(119\) | 0.512757 | − | 2.90799i | 0.0470044 | − | 0.266575i | ||||
\(120\) | −6.09949 | + | 5.71733i | −0.556804 | + | 0.521918i | ||||
\(121\) | −3.46303 | − | 1.26044i | −0.314821 | − | 0.114586i | ||||
\(122\) | 24.7392 | + | 9.00433i | 2.23978 | + | 0.815214i | ||||
\(123\) | 6.61042 | − | 6.19625i | 0.596041 | − | 0.558697i | ||||
\(124\) | −2.60808 | + | 14.7912i | −0.234213 | + | 1.32829i | ||||
\(125\) | 5.94363 | + | 10.2947i | 0.531614 | + | 0.920783i | ||||
\(126\) | −1.94053 | − | 6.63809i | −0.172876 | − | 0.591368i | ||||
\(127\) | −5.02593 | + | 8.70517i | −0.445979 | + | 0.772459i | −0.998120 | − | 0.0612921i | \(-0.980478\pi\) |
0.552140 | + | 0.833751i | \(0.313811\pi\) | |||||||
\(128\) | 14.5595 | + | 12.2168i | 1.28689 | + | 1.07983i | ||||
\(129\) | 17.2942 | + | 12.9624i | 1.52267 | + | 1.14127i | ||||
\(130\) | −1.72257 | − | 9.76916i | −0.151079 | − | 0.856812i | ||||
\(131\) | 15.1384 | − | 12.7026i | 1.32265 | − | 1.10983i | 0.336913 | − | 0.941536i | \(-0.390617\pi\) |
0.985736 | − | 0.168298i | \(-0.0538272\pi\) | |||||||
\(132\) | 21.9662 | − | 1.20798i | 1.91191 | − | 0.105141i | ||||
\(133\) | 2.76851 | − | 1.00765i | 0.240060 | − | 0.0873747i | ||||
\(134\) | 26.9979 | 2.33226 | ||||||||
\(135\) | 2.75512 | + | 7.80488i | 0.237123 | + | 0.671737i | ||||
\(136\) | −8.94764 | −0.767253 | ||||||||
\(137\) | −5.07969 | + | 1.84886i | −0.433988 | + | 0.157959i | −0.549770 | − | 0.835316i | \(-0.685285\pi\) |
0.115783 | + | 0.993275i | \(0.463062\pi\) | |||||||
\(138\) | −7.12357 | − | 10.9077i | −0.606398 | − | 0.928523i | ||||
\(139\) | −7.46475 | + | 6.26367i | −0.633152 | + | 0.531277i | −0.901906 | − | 0.431931i | \(-0.857832\pi\) |
0.268755 | + | 0.963209i | \(0.413388\pi\) | |||||||
\(140\) | 0.916778 | + | 5.19931i | 0.0774819 | + | 0.439422i | ||||
\(141\) | −8.99132 | + | 3.84397i | −0.757205 | + | 0.323720i | ||||
\(142\) | −10.1221 | − | 8.49341i | −0.849424 | − | 0.712751i | ||||
\(143\) | −5.17611 | + | 8.96529i | −0.432848 | + | 0.749715i | ||||
\(144\) | −0.959091 | + | 0.473916i | −0.0799242 | + | 0.0394930i | ||||
\(145\) | −5.74091 | − | 9.94356i | −0.476757 | − | 0.825767i | ||||
\(146\) | −5.13439 | + | 29.1186i | −0.424925 | + | 2.40987i | ||||
\(147\) | −1.65767 | − | 0.502132i | −0.136722 | − | 0.0414151i | ||||
\(148\) | 30.4027 | + | 11.0657i | 2.49909 | + | 0.909593i | ||||
\(149\) | −11.2421 | − | 4.09180i | −0.920991 | − | 0.335213i | −0.162358 | − | 0.986732i | \(-0.551910\pi\) |
−0.758633 | + | 0.651519i | \(0.774132\pi\) | |||||||
\(150\) | 2.23672 | + | 9.57561i | 0.182627 | + | 0.781845i | ||||
\(151\) | 0.331757 | − | 1.88149i | 0.0269980 | − | 0.153113i | −0.968329 | − | 0.249679i | \(-0.919675\pi\) |
0.995327 | + | 0.0965661i | \(0.0307859\pi\) | |||||||
\(152\) | −4.46371 | − | 7.73138i | −0.362055 | − | 0.627098i | ||||
\(153\) | −3.56133 | + | 8.11116i | −0.287917 | + | 0.655748i | ||||
\(154\) | 4.41712 | − | 7.65068i | 0.355942 | − | 0.616510i | ||||
\(155\) | −5.52944 | − | 4.63975i | −0.444135 | − | 0.372674i | ||||
\(156\) | 1.85030 | − | 15.3975i | 0.148142 | − | 1.23278i | ||||
\(157\) | −2.56531 | − | 14.5486i | −0.204734 | − | 1.16110i | −0.897858 | − | 0.440286i | \(-0.854877\pi\) |
0.693124 | − | 0.720819i | \(-0.256234\pi\) | |||||||
\(158\) | 9.32713 | − | 7.82639i | 0.742027 | − | 0.622634i | ||||
\(159\) | 3.38742 | − | 6.69077i | 0.268640 | − | 0.530612i | ||||
\(160\) | −7.84077 | + | 2.85381i | −0.619867 | + | 0.225613i | ||||
\(161\) | −3.26273 | −0.257139 | ||||||||
\(162\) | 0.937818 | + | 20.7265i | 0.0736819 | + | 1.62843i | ||||
\(163\) | −1.93796 | −0.151793 | −0.0758965 | − | 0.997116i | \(-0.524182\pi\) | ||||
−0.0758965 | + | 0.997116i | \(0.524182\pi\) | |||||||
\(164\) | −16.2923 | + | 5.92991i | −1.27221 | + | 0.463048i | ||||
\(165\) | −4.77562 | + | 9.43270i | −0.371781 | + | 0.734335i | ||||
\(166\) | 3.67166 | − | 3.08089i | 0.284976 | − | 0.239123i | ||||
\(167\) | 0.806102 | + | 4.57163i | 0.0623780 | + | 0.353763i | 0.999982 | + | 0.00605745i | \(0.00192816\pi\) |
−0.937604 | + | 0.347706i | \(0.886961\pi\) | |||||||
\(168\) | −0.626191 | + | 5.21091i | −0.0483117 | + | 0.402031i | ||||
\(169\) | −4.36823 | − | 3.66538i | −0.336018 | − | 0.281952i | ||||
\(170\) | 5.42157 | − | 9.39043i | 0.415815 | − | 0.720213i | ||||
\(171\) | −8.78525 | + | 0.969180i | −0.671825 | + | 0.0741150i | ||||
\(172\) | −20.6790 | − | 35.8171i | −1.57676 | − | 2.73103i | ||||
\(173\) | 1.71156 | − | 9.70673i | 0.130127 | − | 0.737989i | −0.848002 | − | 0.529993i | \(-0.822195\pi\) |
0.978130 | − | 0.207996i | \(-0.0666942\pi\) | |||||||
\(174\) | −6.54671 | − | 28.0272i | −0.496305 | − | 2.12473i | ||||
\(175\) | 2.31419 | + | 0.842297i | 0.174936 | + | 0.0636716i | ||||
\(176\) | −1.28412 | − | 0.467380i | −0.0967939 | − | 0.0352301i | ||||
\(177\) | 9.77609 | + | 2.96132i | 0.734816 | + | 0.222586i | ||||
\(178\) | −5.21600 | + | 29.5814i | −0.390956 | + | 2.21722i | ||||
\(179\) | 0.744910 | + | 1.29022i | 0.0556772 | + | 0.0964358i | 0.892521 | − | 0.451007i | \(-0.148935\pi\) |
−0.836843 | + | 0.547442i | \(0.815602\pi\) | |||||||
\(180\) | 1.02338 | − | 15.8055i | 0.0762782 | − | 1.17807i | ||||
\(181\) | −1.29845 | + | 2.24898i | −0.0965132 | + | 0.167166i | −0.910239 | − | 0.414083i | \(-0.864102\pi\) |
0.813726 | + | 0.581249i | \(0.197436\pi\) | |||||||
\(182\) | −4.77062 | − | 4.00303i | −0.353622 | − | 0.296724i | ||||
\(183\) | −18.1879 | + | 7.77567i | −1.34448 | + | 0.574794i | ||||
\(184\) | 1.71679 | + | 9.73641i | 0.126564 | + | 0.717778i | ||||
\(185\) | −11.9112 | + | 9.99470i | −0.875730 | + | 0.734825i | ||||
\(186\) | −9.89371 | − | 15.1493i | −0.725442 | − | 1.11080i | ||||
\(187\) | −10.6333 | + | 3.87021i | −0.777585 | + | 0.283018i | ||||
\(188\) | 18.7121 | 1.36472 | ||||||||
\(189\) | 4.47453 | + | 2.64170i | 0.325474 | + | 0.192155i | ||||
\(190\) | 10.8187 | 0.784868 | ||||||||
\(191\) | −8.34693 | + | 3.03804i | −0.603963 | + | 0.219825i | −0.625860 | − | 0.779936i | \(-0.715252\pi\) |
0.0218967 | + | 0.999760i | \(0.493030\pi\) | |||||||
\(192\) | −22.1178 | + | 1.21632i | −1.59621 | + | 0.0877801i | ||||
\(193\) | −1.78325 | + | 1.49632i | −0.128361 | + | 0.107707i | −0.704708 | − | 0.709497i | \(-0.748922\pi\) |
0.576347 | + | 0.817205i | \(0.304478\pi\) | |||||||
\(194\) | −5.64807 | − | 32.0318i | −0.405508 | − | 2.29975i | ||||
\(195\) | 5.96387 | + | 4.47004i | 0.427081 | + | 0.320106i | ||||
\(196\) | 2.53900 | + | 2.13048i | 0.181357 | + | 0.152177i | ||||
\(197\) | 10.2851 | − | 17.8143i | 0.732782 | − | 1.26922i | −0.222908 | − | 0.974840i | \(-0.571555\pi\) |
0.955690 | − | 0.294376i | \(-0.0951118\pi\) | |||||||
\(198\) | −18.3118 | + | 19.1591i | −1.30137 | + | 1.36158i | ||||
\(199\) | −0.0233749 | − | 0.0404865i | −0.00165700 | − | 0.00287001i | 0.865196 | − | 0.501434i | \(-0.167194\pi\) |
−0.866853 | + | 0.498564i | \(0.833861\pi\) | |||||||
\(200\) | 1.29584 | − | 7.34905i | 0.0916295 | − | 0.519657i | ||||
\(201\) | −14.7994 | + | 13.8721i | −1.04387 | + | 0.978464i | ||||
\(202\) | −33.7408 | − | 12.2807i | −2.37400 | − | 0.864064i | ||||
\(203\) | −6.77348 | − | 2.46535i | −0.475405 | − | 0.173033i | ||||
\(204\) | 12.3678 | − | 11.5929i | 0.865919 | − | 0.811665i | ||||
\(205\) | 1.44691 | − | 8.20585i | 0.101057 | − | 0.573122i | ||||
\(206\) | −6.81541 | − | 11.8046i | −0.474852 | − | 0.822468i | ||||
\(207\) | 9.50951 | + | 2.31899i | 0.660957 | + | 0.161181i | ||||
\(208\) | −0.481659 | + | 0.834258i | −0.0333971 | + | 0.0578454i | ||||
\(209\) | −8.64878 | − | 7.25719i | −0.598249 | − | 0.501990i | ||||
\(210\) | −5.08937 | − | 3.81459i | −0.351200 | − | 0.263232i | ||||
\(211\) | −0.889639 | − | 5.04539i | −0.0612453 | − | 0.347339i | −0.999996 | − | 0.00274288i | \(-0.999127\pi\) |
0.938751 | − | 0.344596i | \(-0.111984\pi\) | |||||||
\(212\) | −10.9933 | + | 9.22449i | −0.755024 | + | 0.633541i | ||||
\(213\) | 9.91268 | − | 0.545125i | 0.679206 | − | 0.0373513i | ||||
\(214\) | 10.0274 | − | 3.64969i | 0.685461 | − | 0.249487i | ||||
\(215\) | 19.8763 | 1.35555 | ||||||||
\(216\) | 5.52875 | − | 14.7426i | 0.376184 | − | 1.00311i | ||||
\(217\) | −4.53150 | −0.307619 | ||||||||
\(218\) | 2.20978 | − | 0.804296i | 0.149666 | − | 0.0544738i | ||||
\(219\) | −12.1473 | − | 18.6000i | −0.820836 | − | 1.25687i | ||||
\(220\) | 15.4985 | − | 13.0048i | 1.04491 | − | 0.876782i | ||||
\(221\) | 1.38517 | + | 7.85571i | 0.0931769 | + | 0.528432i | ||||
\(222\) | −35.8390 | + | 15.3219i | −2.40535 | + | 1.02834i | ||||
\(223\) | 14.7475 | + | 12.3746i | 0.987563 | + | 0.828664i | 0.985213 | − | 0.171334i | \(-0.0548076\pi\) |
0.00234979 | + | 0.999997i | \(0.499252\pi\) | |||||||
\(224\) | −2.61914 | + | 4.53648i | −0.174998 | + | 0.303106i | ||||
\(225\) | −6.14625 | − | 4.09976i | −0.409750 | − | 0.273317i | ||||
\(226\) | 21.7632 | + | 37.6949i | 1.44766 | + | 2.50743i | ||||
\(227\) | −0.0387380 | + | 0.219694i | −0.00257113 | + | 0.0145816i | −0.986066 | − | 0.166353i | \(-0.946801\pi\) |
0.983495 | + | 0.180934i | \(0.0579121\pi\) | |||||||
\(228\) | 16.1870 | + | 4.90328i | 1.07201 | + | 0.324728i | ||||
\(229\) | 13.9217 | + | 5.06708i | 0.919972 | + | 0.334842i | 0.758227 | − | 0.651990i | \(-0.226066\pi\) |
0.161744 | + | 0.986833i | \(0.448288\pi\) | |||||||
\(230\) | −11.2585 | − | 4.09775i | −0.742363 | − | 0.270198i | ||||
\(231\) | 1.50977 | + | 6.46347i | 0.0993354 | + | 0.425265i | ||||
\(232\) | −3.79283 | + | 21.5102i | −0.249011 | + | 1.41221i | ||||
\(233\) | 6.64396 | + | 11.5077i | 0.435261 | + | 0.753893i | 0.997317 | − | 0.0732055i | \(-0.0233229\pi\) |
−0.562056 | + | 0.827099i | \(0.689990\pi\) | |||||||
\(234\) | 11.0592 | + | 15.0579i | 0.722966 | + | 0.984366i | ||||
\(235\) | −4.49644 | + | 7.78806i | −0.293315 | + | 0.508037i | ||||
\(236\) | −14.9738 | − | 12.5645i | −0.974709 | − | 0.817878i | ||||
\(237\) | −1.09145 | + | 9.08266i | −0.0708976 | + | 0.589982i | ||||
\(238\) | −1.18206 | − | 6.70381i | −0.0766217 | − | 0.434543i | ||||
\(239\) | −1.84383 | + | 1.54716i | −0.119267 | + | 0.100077i | −0.700471 | − | 0.713681i | \(-0.747027\pi\) |
0.581203 | + | 0.813758i | \(0.302582\pi\) | |||||||
\(240\) | −0.444392 | + | 0.877753i | −0.0286854 | + | 0.0566587i | ||||
\(241\) | −18.0138 | + | 6.55648i | −1.16037 | + | 0.422340i | −0.849229 | − | 0.528025i | \(-0.822933\pi\) |
−0.311140 | + | 0.950364i | \(0.600711\pi\) | |||||||
\(242\) | −8.49571 | −0.546125 | ||||||||
\(243\) | −11.1638 | − | 10.8797i | −0.716160 | − | 0.697936i | ||||
\(244\) | 37.8513 | 2.42318 | ||||||||
\(245\) | −1.49682 | + | 0.544799i | −0.0956286 | + | 0.0348060i | ||||
\(246\) | 9.43451 | − | 18.6348i | 0.601522 | − | 1.18811i | ||||
\(247\) | −6.09686 | + | 5.11587i | −0.387934 | + | 0.325515i | ||||
\(248\) | 2.38440 | + | 13.5226i | 0.151410 | + | 0.858686i | ||||
\(249\) | −0.429655 | + | 3.57542i | −0.0272283 | + | 0.226583i | ||||
\(250\) | 20.9925 | + | 17.6148i | 1.32768 | + | 1.11406i | ||||
\(251\) | 7.22351 | − | 12.5115i | 0.455944 | − | 0.789718i | −0.542798 | − | 0.839863i | \(-0.682635\pi\) |
0.998742 | + | 0.0501451i | \(0.0159684\pi\) | |||||||
\(252\) | −5.88591 | − | 8.01406i | −0.370778 | − | 0.504838i | ||||
\(253\) | 6.25161 | + | 10.8281i | 0.393035 | + | 0.680757i | ||||
\(254\) | −4.02388 | + | 22.8206i | −0.252481 | + | 1.43189i | ||||
\(255\) | 1.85309 | + | 7.93325i | 0.116045 | + | 0.496799i | ||||
\(256\) | 17.1369 | + | 6.23731i | 1.07105 | + | 0.389832i | ||||
\(257\) | 19.0345 | + | 6.92798i | 1.18734 | + | 0.432156i | 0.858788 | − | 0.512331i | \(-0.171218\pi\) |
0.328550 | + | 0.944487i | \(0.393440\pi\) | |||||||
\(258\) | 47.6844 | + | 14.4443i | 2.96870 | + | 0.899263i | ||||
\(259\) | −1.69507 | + | 9.61321i | −0.105326 | + | 0.597336i | ||||
\(260\) | −7.13110 | − | 12.3514i | −0.442252 | − | 0.766003i | ||||
\(261\) | 17.9897 | + | 11.9997i | 1.11353 | + | 0.742765i | ||||
\(262\) | 22.7785 | − | 39.4535i | 1.40726 | − | 2.43744i | ||||
\(263\) | −20.8410 | − | 17.4877i | −1.28511 | − | 1.07834i | −0.992518 | − | 0.122102i | \(-0.961037\pi\) |
−0.292596 | − | 0.956236i | \(-0.594519\pi\) | |||||||
\(264\) | 18.4934 | − | 7.90632i | 1.13819 | − | 0.486600i | ||||
\(265\) | −1.19763 | − | 6.79207i | −0.0735695 | − | 0.417234i | ||||
\(266\) | 5.20286 | − | 4.36572i | 0.319008 | − | 0.267679i | ||||
\(267\) | −12.3403 | − | 18.8957i | −0.755216 | − | 1.15640i | ||||
\(268\) | 36.4751 | − | 13.2759i | 2.22807 | − | 0.810952i | ||||
\(269\) | −6.18945 | −0.377377 | −0.188689 | − | 0.982037i | \(-0.560424\pi\) | ||||
−0.188689 | + | 0.982037i | \(0.560424\pi\) | |||||||
\(270\) | 12.1222 | + | 14.7352i | 0.737734 | + | 0.896758i | ||||
\(271\) | −14.2793 | −0.867405 | −0.433703 | − | 0.901056i | \(-0.642793\pi\) | ||||
−0.433703 | + | 0.901056i | \(0.642793\pi\) | |||||||
\(272\) | −0.989475 | + | 0.360139i | −0.0599957 | + | 0.0218367i | ||||
\(273\) | 4.67194 | − | 0.256922i | 0.282759 | − | 0.0155497i | ||||
\(274\) | −9.54628 | + | 8.01028i | −0.576712 | + | 0.483919i | ||||
\(275\) | −1.63880 | − | 9.29407i | −0.0988231 | − | 0.560454i | ||||
\(276\) | −14.9879 | − | 11.2337i | −0.902165 | − | 0.676191i | ||||
\(277\) | −10.2427 | − | 8.59462i | −0.615422 | − | 0.516401i | 0.280939 | − | 0.959726i | \(-0.409354\pi\) |
−0.896361 | + | 0.443325i | \(0.853799\pi\) | |||||||
\(278\) | −11.2321 | + | 19.4545i | −0.673654 | + | 1.16680i | ||||
\(279\) | 13.2075 | + | 3.22077i | 0.790711 | + | 0.192822i | ||||
\(280\) | 2.41336 | + | 4.18006i | 0.144226 | + | 0.249806i | ||||
\(281\) | 1.97403 | − | 11.1953i | 0.117761 | − | 0.667856i | −0.867585 | − | 0.497289i | \(-0.834329\pi\) |
0.985346 | − | 0.170567i | \(-0.0545599\pi\) | |||||||
\(282\) | −16.4469 | + | 15.4164i | −0.979397 | + | 0.918034i | ||||
\(283\) | −1.30975 | − | 0.476711i | −0.0778567 | − | 0.0283375i | 0.302798 | − | 0.953055i | \(-0.402079\pi\) |
−0.380655 | + | 0.924717i | \(0.624301\pi\) | |||||||
\(284\) | −17.8518 | − | 6.49751i | −1.05931 | − | 0.385556i | ||||
\(285\) | −5.93043 | + | 5.55886i | −0.351288 | + | 0.329279i | ||||
\(286\) | −4.14412 | + | 23.5025i | −0.245047 | + | 1.38973i | ||||
\(287\) | −2.61552 | − | 4.53021i | −0.154389 | − | 0.267410i | ||||
\(288\) | 10.8580 | − | 11.3604i | 0.639814 | − | 0.669419i | ||||
\(289\) | 4.14033 | − | 7.17127i | 0.243549 | − | 0.421839i | ||||
\(290\) | −20.2765 | − | 17.0140i | −1.19068 | − | 0.999098i | ||||
\(291\) | 19.5547 | + | 14.6567i | 1.14632 | + | 0.859190i | ||||
\(292\) | 7.38192 | + | 41.8650i | 0.431994 | + | 2.44996i | ||||
\(293\) | 6.98783 | − | 5.86348i | 0.408233 | − | 0.342548i | −0.415433 | − | 0.909624i | \(-0.636370\pi\) |
0.823666 | + | 0.567076i | \(0.191925\pi\) | |||||||
\(294\) | −3.98688 | + | 0.219249i | −0.232520 | + | 0.0127869i | ||||
\(295\) | 8.82752 | − | 3.21295i | 0.513958 | − | 0.187065i | ||||
\(296\) | 29.5790 | 1.71925 | ||||||||
\(297\) | 0.193564 | − | 19.9114i | 0.0112317 | − | 1.15538i | ||||
\(298\) | −27.5798 | −1.59765 | ||||||||
\(299\) | 8.28245 | − | 3.01457i | 0.478987 | − | 0.174337i | ||||
\(300\) | 7.73056 | + | 11.8371i | 0.446324 | + | 0.683416i | ||||
\(301\) | 9.55883 | − | 8.02081i | 0.550962 | − | 0.462312i | ||||
\(302\) | −0.764801 | − | 4.33740i | −0.0440093 | − | 0.249589i | ||||
\(303\) | 24.8057 | − | 10.6049i | 1.42505 | − | 0.609237i | ||||
\(304\) | −0.804806 | − | 0.675312i | −0.0461588 | − | 0.0387318i | ||||
\(305\) | −9.09550 | + | 15.7539i | −0.520807 | + | 0.902064i | ||||
\(306\) | −1.31951 | + | 20.3790i | −0.0754314 | + | 1.16499i | ||||
\(307\) | −12.1994 | − | 21.1299i | −0.696254 | − | 1.20595i | −0.969756 | − | 0.244076i | \(-0.921515\pi\) |
0.273502 | − | 0.961872i | \(-0.411818\pi\) | |||||||
\(308\) | 2.20557 | − | 12.5084i | 0.125674 | − | 0.712732i | ||||
\(309\) | 9.80147 | + | 2.96901i | 0.557586 | + | 0.168901i | ||||
\(310\) | −15.6366 | − | 5.69125i | −0.888098 | − | 0.323241i | ||||
\(311\) | 25.6619 | + | 9.34015i | 1.45515 | + | 0.529632i | 0.944025 | − | 0.329874i | \(-0.107006\pi\) |
0.511126 | + | 0.859506i | \(0.329229\pi\) | |||||||
\(312\) | −3.22499 | − | 13.8065i | −0.182579 | − | 0.781639i | ||||
\(313\) | 4.86695 | − | 27.6019i | 0.275097 | − | 1.56015i | −0.463558 | − | 0.886066i | \(-0.653428\pi\) |
0.738655 | − | 0.674084i | \(-0.235461\pi\) | |||||||
\(314\) | −17.0282 | − | 29.4937i | −0.960955 | − | 1.66442i | ||||
\(315\) | 4.74985 | − | 0.523998i | 0.267623 | − | 0.0295239i | ||||
\(316\) | 8.75276 | − | 15.1602i | 0.492381 | − | 0.852829i | ||||
\(317\) | 12.9364 | + | 10.8550i | 0.726583 | + | 0.609675i | 0.929198 | − | 0.369583i | \(-0.120499\pi\) |
−0.202615 | + | 0.979259i | \(0.564944\pi\) | |||||||
\(318\) | 2.06269 | − | 17.1649i | 0.115670 | − | 0.962560i | ||||
\(319\) | 4.79664 | + | 27.2031i | 0.268561 | + | 1.52308i | ||||
\(320\) | −15.6054 | + | 13.0945i | −0.872370 | + | 0.732005i | ||||
\(321\) | −3.62142 | + | 7.15295i | −0.202128 | + | 0.399239i | ||||
\(322\) | −7.06798 | + | 2.57253i | −0.393883 | + | 0.143362i | ||||
\(323\) | −8.69964 | −0.484061 | ||||||||
\(324\) | 11.4590 | + | 27.5411i | 0.636612 | + | 1.53006i | ||||
\(325\) | −6.65282 | −0.369032 | ||||||||
\(326\) | −4.19817 | + | 1.52801i | −0.232515 | + | 0.0846286i | ||||
\(327\) | −0.798067 | + | 1.57632i | −0.0441332 | + | 0.0871710i | ||||
\(328\) | −12.1425 | + | 10.1888i | −0.670457 | + | 0.562580i | ||||
\(329\) | 0.980356 | + | 5.55987i | 0.0540488 | + | 0.306526i | ||||
\(330\) | −2.90800 | + | 24.1993i | −0.160080 | + | 1.33212i | ||||
\(331\) | 8.50582 | + | 7.13723i | 0.467522 | + | 0.392298i | 0.845890 | − | 0.533358i | \(-0.179070\pi\) |
−0.378367 | + | 0.925655i | \(0.623514\pi\) | |||||||
\(332\) | 3.44556 | − | 5.96788i | 0.189099 | − | 0.327530i | ||||
\(333\) | 11.7730 | − | 26.8138i | 0.645158 | − | 1.46939i | ||||
\(334\) | 5.35079 | + | 9.26785i | 0.292782 | + | 0.507114i | ||||
\(335\) | −3.23934 | + | 18.3712i | −0.176984 | + | 1.00373i | ||||
\(336\) | 0.140490 | + | 0.601453i | 0.00766437 | + | 0.0328120i | ||||
\(337\) | −16.7172 | − | 6.08458i | −0.910646 | − | 0.331448i | −0.156135 | − | 0.987736i | \(-0.549904\pi\) |
−0.754511 | + | 0.656288i | \(0.772126\pi\) | |||||||
\(338\) | −12.3528 | − | 4.49605i | −0.671904 | − | 0.244553i | ||||
\(339\) | −31.2983 | − | 9.48072i | −1.69989 | − | 0.514922i | ||||
\(340\) | 2.70711 | − | 15.3528i | 0.146814 | − | 0.832622i | ||||
\(341\) | 8.68267 | + | 15.0388i | 0.470193 | + | 0.814399i | ||||
\(342\) | −18.2671 | + | 9.02634i | −0.987774 | + | 0.488089i | ||||
\(343\) | −0.500000 | + | 0.866025i | −0.0269975 | + | 0.0467610i | ||||
\(344\) | −28.9648 | − | 24.3044i | −1.56168 | − | 1.31041i | ||||
\(345\) | 8.27705 | − | 3.53860i | 0.445621 | − | 0.190512i | ||||
\(346\) | −3.94567 | − | 22.3770i | −0.212120 | − | 1.20299i | ||||
\(347\) | 20.6566 | − | 17.3329i | 1.10890 | − | 0.930481i | 0.110913 | − | 0.993830i | \(-0.464622\pi\) |
0.997991 | + | 0.0633487i | \(0.0201780\pi\) | |||||||
\(348\) | −22.6268 | − | 34.6464i | −1.21292 | − | 1.85724i | ||||
\(349\) | 6.08487 | − | 2.21471i | 0.325715 | − | 0.118551i | −0.173987 | − | 0.984748i | \(-0.555665\pi\) |
0.499702 | + | 0.866197i | \(0.333443\pi\) | |||||||
\(350\) | 5.67730 | 0.303464 | ||||||||
\(351\) | −13.7994 | − | 2.57176i | −0.736558 | − | 0.137271i | ||||
\(352\) | 20.0738 | 1.06994 | ||||||||
\(353\) | 25.8416 | − | 9.40556i | 1.37541 | − | 0.500608i | 0.454625 | − | 0.890683i | \(-0.349773\pi\) |
0.920783 | + | 0.390075i | \(0.127551\pi\) | |||||||
\(354\) | 23.5126 | − | 1.29302i | 1.24968 | − | 0.0687233i | ||||
\(355\) | 6.99399 | − | 5.86866i | 0.371203 | − | 0.311476i | ||||
\(356\) | 7.49926 | + | 42.5304i | 0.397460 | + | 2.25411i | ||||
\(357\) | 4.09253 | + | 3.06744i | 0.216600 | + | 0.162346i | ||||
\(358\) | 2.63097 | + | 2.20765i | 0.139051 | + | 0.116678i | ||||
\(359\) | 5.89820 | − | 10.2160i | 0.311295 | − | 0.539179i | −0.667348 | − | 0.744746i | \(-0.732570\pi\) |
0.978643 | + | 0.205567i | \(0.0659038\pi\) | |||||||
\(360\) | −4.06297 | − | 13.8984i | −0.214137 | − | 0.732513i | ||||
\(361\) | 5.16000 | + | 8.93739i | 0.271579 | + | 0.470389i | ||||
\(362\) | −1.03957 | + | 5.89570i | −0.0546387 | + | 0.309871i | ||||
\(363\) | 4.65707 | − | 4.36528i | 0.244433 | − | 0.229118i | ||||
\(364\) | −8.41371 | − | 3.06234i | −0.440998 | − | 0.160510i | ||||
\(365\) | −19.1982 | − | 6.98758i | −1.00488 | − | 0.365747i | ||||
\(366\) | −33.2691 | + | 31.1847i | −1.73901 | + | 1.63005i | ||||
\(367\) | 1.66246 | − | 9.42828i | 0.0867797 | − | 0.492152i | −0.910179 | − | 0.414216i | \(-0.864056\pi\) |
0.996958 | − | 0.0779363i | \(-0.0248331\pi\) | |||||||
\(368\) | 0.581739 | + | 1.00760i | 0.0303252 | + | 0.0525249i | ||||
\(369\) | 4.40331 | + | 15.0627i | 0.229227 | + | 0.784131i | ||||
\(370\) | −17.9226 | + | 31.0428i | −0.931751 | + | 1.61384i | ||||
\(371\) | −3.31680 | − | 2.78313i | −0.172200 | − | 0.144493i | ||||
\(372\) | −20.8162 | − | 15.6022i | −1.07927 | − | 0.808936i | ||||
\(373\) | 5.82067 | + | 33.0107i | 0.301383 | + | 1.70923i | 0.640060 | + | 0.768325i | \(0.278910\pi\) |
−0.338677 | + | 0.940903i | \(0.609979\pi\) | |||||||
\(374\) | −19.9832 | + | 16.7679i | −1.03331 | + | 0.867048i | ||||
\(375\) | −20.5583 | + | 1.13055i | −1.06162 | + | 0.0583815i | ||||
\(376\) | 16.0756 | − | 5.85102i | 0.829033 | − | 0.301743i | ||||
\(377\) | 19.4724 | 1.00288 | ||||||||
\(378\) | 11.7760 | + | 2.19466i | 0.605690 | + | 0.112881i | ||||
\(379\) | −19.1464 | −0.983484 | −0.491742 | − | 0.870741i | \(-0.663640\pi\) | ||||
−0.491742 | + | 0.870741i | \(0.663640\pi\) | |||||||
\(380\) | 14.6164 | − | 5.31993i | 0.749804 | − | 0.272906i | ||||
\(381\) | −9.51995 | − | 14.5771i | −0.487722 | − | 0.746805i | ||||
\(382\) | −15.6864 | + | 13.1625i | −0.802587 | + | 0.673450i | ||||
\(383\) | 1.07858 | + | 6.11692i | 0.0551128 | + | 0.312560i | 0.999885 | − | 0.0151677i | \(-0.00482821\pi\) |
−0.944772 | + | 0.327728i | \(0.893717\pi\) | |||||||
\(384\) | −30.2692 | + | 12.9407i | −1.54467 | + | 0.660377i | ||||
\(385\) | 4.67606 | + | 3.92368i | 0.238314 | + | 0.199969i | ||||
\(386\) | −2.68322 | + | 4.64747i | −0.136572 | + | 0.236550i | ||||
\(387\) | −33.5609 | + | 16.5834i | −1.70599 | + | 0.842983i | ||||
\(388\) | −23.3819 | − | 40.4987i | −1.18704 | − | 2.05601i | ||||
\(389\) | 1.80355 | − | 10.2284i | 0.0914437 | − | 0.518603i | −0.904336 | − | 0.426822i | \(-0.859633\pi\) |
0.995779 | − | 0.0917806i | \(-0.0292559\pi\) | |||||||
\(390\) | 16.4439 | + | 4.98108i | 0.832667 | + | 0.252227i | ||||
\(391\) | 9.05333 | + | 3.29514i | 0.457846 | + | 0.166642i | ||||
\(392\) | 2.84743 | + | 1.03638i | 0.143817 | + | 0.0523450i | ||||
\(393\) | 7.78566 | + | 33.3312i | 0.392734 | + | 1.68134i | ||||
\(394\) | 8.23449 | − | 46.7001i | 0.414847 | − | 2.35272i | ||||
\(395\) | 4.20650 | + | 7.28587i | 0.211652 | + | 0.366592i | ||||
\(396\) | −15.3187 | + | 34.8892i | −0.769793 | + | 1.75325i | ||||
\(397\) | 9.64988 | − | 16.7141i | 0.484314 | − | 0.838856i | −0.515524 | − | 0.856875i | \(-0.672403\pi\) |
0.999838 | + | 0.0180191i | \(0.00573598\pi\) | |||||||
\(398\) | −0.0825585 | − | 0.0692748i | −0.00413828 | − | 0.00347243i | ||||
\(399\) | −0.608835 | + | 5.06649i | −0.0304799 | + | 0.253642i | ||||
\(400\) | −0.152497 | − | 0.864853i | −0.00762485 | − | 0.0432426i | ||||
\(401\) | −13.9860 | + | 11.7357i | −0.698429 | + | 0.586051i | −0.921326 | − | 0.388791i | \(-0.872893\pi\) |
0.222898 | + | 0.974842i | \(0.428448\pi\) | |||||||
\(402\) | −21.1219 | + | 41.7196i | −1.05347 | + | 2.08079i | ||||
\(403\) | 11.5033 | − | 4.18684i | 0.573018 | − | 0.208561i | ||||
\(404\) | −51.6239 | −2.56838 | ||||||||
\(405\) | −14.2163 | − | 1.84872i | −0.706413 | − | 0.0918635i | ||||
\(406\) | −16.6171 | −0.824692 | ||||||||
\(407\) | 35.1515 | − | 12.7941i | 1.74240 | − | 0.634180i | ||||
\(408\) | 7.00022 | − | 13.8267i | 0.346563 | − | 0.684523i | ||||
\(409\) | 4.44586 | − | 3.73052i | 0.219834 | − | 0.184462i | −0.526219 | − | 0.850349i | \(-0.676391\pi\) |
0.746053 | + | 0.665886i | \(0.231946\pi\) | |||||||
\(410\) | −3.33558 | − | 18.9170i | −0.164732 | − | 0.934244i | ||||
\(411\) | 1.11710 | − | 9.29606i | 0.0551024 | − | 0.458541i | ||||
\(412\) | −15.0126 | − | 12.5971i | −0.739619 | − | 0.620614i | ||||
\(413\) | 2.94875 | − | 5.10738i | 0.145098 | − | 0.251318i | ||||
\(414\) | 22.4287 | − | 2.47431i | 1.10231 | − | 0.121606i | ||||
\(415\) | 1.65590 | + | 2.86811i | 0.0812851 | + | 0.140790i | ||||
\(416\) | 2.45726 | − | 13.9358i | 0.120477 | − | 0.683259i | ||||
\(417\) | −3.83911 | − | 16.4356i | −0.188002 | − | 0.804855i | ||||
\(418\) | −24.4577 | − | 8.90187i | −1.19626 | − | 0.435405i | ||||
\(419\) | −1.66720 | − | 0.606810i | −0.0814479 | − | 0.0296446i | 0.300975 | − | 0.953632i | \(-0.402688\pi\) |
−0.382423 | + | 0.923987i | \(0.624910\pi\) | |||||||
\(420\) | −8.75169 | − | 2.65101i | −0.427039 | − | 0.129356i | ||||
\(421\) | 3.34211 | − | 18.9540i | 0.162884 | − | 0.923763i | −0.788335 | − | 0.615247i | \(-0.789056\pi\) |
0.951219 | − | 0.308516i | \(-0.0998324\pi\) | |||||||
\(422\) | −5.90530 | − | 10.2283i | −0.287466 | − | 0.497905i | ||||
\(423\) | 1.09435 | − | 16.9015i | 0.0532091 | − | 0.821781i | ||||
\(424\) | −6.55998 | + | 11.3622i | −0.318581 | + | 0.551798i | ||||
\(425\) | −5.57069 | − | 4.67436i | −0.270218 | − | 0.226740i | ||||
\(426\) | 21.0438 | − | 8.99665i | 1.01958 | − | 0.435889i | ||||
\(427\) | 1.98309 | + | 11.2466i | 0.0959683 | + | 0.544263i | ||||
\(428\) | 11.7527 | − | 9.86171i | 0.568089 | − | 0.476684i | ||||
\(429\) | −9.80442 | − | 15.0126i | −0.473362 | − | 0.724817i | ||||
\(430\) | 43.0576 | − | 15.6717i | 2.07642 | − | 0.755756i | ||||
\(431\) | −4.65720 | −0.224330 | −0.112165 | − | 0.993690i | \(-0.535778\pi\) | ||||
−0.112165 | + | 0.993690i | \(0.535778\pi\) | |||||||
\(432\) | 0.0180120 | − | 1.85284i | 0.000866602 | − | 0.0891450i | ||||
\(433\) | 27.4056 | 1.31703 | 0.658515 | − | 0.752567i | \(-0.271185\pi\) | ||||
0.658515 | + | 0.752567i | \(0.271185\pi\) | |||||||
\(434\) | −9.81650 | + | 3.57291i | −0.471207 | + | 0.171505i | ||||
\(435\) | 19.8571 | − | 1.09200i | 0.952076 | − | 0.0523572i | ||||
\(436\) | 2.58999 | − | 2.17326i | 0.124038 | − | 0.104080i | ||||
\(437\) | 1.66921 | + | 9.46656i | 0.0798491 | + | 0.452847i | ||||
\(438\) | −40.9797 | − | 30.7152i | −1.95809 | − | 1.46763i | ||||
\(439\) | −11.8869 | − | 9.97427i | −0.567329 | − | 0.476046i | 0.313429 | − | 0.949612i | \(-0.398522\pi\) |
−0.880758 | + | 0.473566i | \(0.842967\pi\) | |||||||
\(440\) | 9.24832 | − | 16.0186i | 0.440896 | − | 0.763655i | ||||
\(441\) | 2.07282 | − | 2.16873i | 0.0987059 | − | 0.103273i | ||||
\(442\) | 9.19459 | + | 15.9255i | 0.437342 | + | 0.757499i | ||||
\(443\) | −0.276194 | + | 1.56638i | −0.0131224 | + | 0.0744207i | −0.990666 | − | 0.136314i | \(-0.956474\pi\) |
0.977543 | + | 0.210735i | \(0.0675856\pi\) | |||||||
\(444\) | −40.8854 | + | 38.3237i | −1.94033 | + | 1.81876i | ||||
\(445\) | −19.5034 | − | 7.09865i | −0.924548 | − | 0.336508i | ||||
\(446\) | 41.7040 | + | 15.1790i | 1.97474 | + | 0.718747i | ||||
\(447\) | 15.1183 | − | 14.1711i | 0.715073 | − | 0.670270i | ||||
\(448\) | −2.22079 | + | 12.5947i | −0.104922 | + | 0.595044i | ||||
\(449\) | −12.4255 | − | 21.5216i | −0.586395 | − | 1.01567i | −0.994700 | − | 0.102820i | \(-0.967213\pi\) |
0.408305 | − | 0.912845i | \(-0.366120\pi\) | |||||||
\(450\) | −16.5470 | − | 4.03515i | −0.780033 | − | 0.190219i | ||||
\(451\) | −10.0230 | + | 17.3604i | −0.471966 | + | 0.817468i | ||||
\(452\) | 47.9388 | + | 40.2254i | 2.25485 | + | 1.89204i | ||||
\(453\) | 2.64789 | + | 1.98465i | 0.124409 | + | 0.0932470i | ||||
\(454\) | 0.0893029 | + | 0.506462i | 0.00419119 | + | 0.0237694i | ||||
\(455\) | 3.29634 | − | 2.76595i | 0.154535 | − | 0.129670i | ||||
\(456\) | 15.4394 | − | 0.849055i | 0.723018 | − | 0.0397607i | ||||
\(457\) | −10.1863 | + | 3.70752i | −0.476496 | + | 0.173430i | −0.569093 | − | 0.822273i | \(-0.692705\pi\) |
0.0925969 | + | 0.995704i | \(0.470483\pi\) | |||||||
\(458\) | 34.1535 | 1.59589 | ||||||||
\(459\) | −9.74787 | − | 11.8491i | −0.454992 | − | 0.553068i | ||||
\(460\) | −17.2256 | −0.803149 | ||||||||
\(461\) | −19.7711 | + | 7.19611i | −0.920834 | + | 0.335156i | −0.758570 | − | 0.651591i | \(-0.774102\pi\) |
−0.162264 | + | 0.986747i | \(0.551880\pi\) | |||||||
\(462\) | 8.36677 | + | 12.8113i | 0.389257 | + | 0.596035i | ||||
\(463\) | −25.1195 | + | 21.0777i | −1.16740 | + | 0.979565i | −0.999980 | − | 0.00632015i | \(-0.997988\pi\) |
−0.167421 | + | 0.985886i | \(0.553544\pi\) | |||||||
\(464\) | 0.446348 | + | 2.53137i | 0.0207212 | + | 0.117516i | ||||
\(465\) | 11.4957 | − | 4.91466i | 0.533103 | − | 0.227912i | ||||
\(466\) | 23.4660 | + | 19.6903i | 1.08704 | + | 0.912137i | ||||
\(467\) | −1.14453 | + | 1.98239i | −0.0529627 | + | 0.0917341i | −0.891291 | − | 0.453431i | \(-0.850200\pi\) |
0.838329 | + | 0.545165i | \(0.183533\pi\) | |||||||
\(468\) | 22.3459 | + | 14.9055i | 1.03294 | + | 0.689008i | ||||
\(469\) | 5.85560 | + | 10.1422i | 0.270387 | + | 0.468324i | ||||
\(470\) | −3.59996 | + | 20.4164i | −0.166054 | + | 0.941736i | ||||
\(471\) | 24.4888 | + | 7.41801i | 1.12838 | + | 0.341804i | ||||
\(472\) | −16.7927 | − | 6.11204i | −0.772946 | − | 0.281329i | ||||
\(473\) | −44.9343 | − | 16.3547i | −2.06608 | − | 0.751991i | ||||
\(474\) | 4.79693 | + | 20.5361i | 0.220330 | + | 0.943256i | ||||
\(475\) | 1.25992 | − | 7.14537i | 0.0578091 | − | 0.327852i | ||||
\(476\) | −4.89351 | − | 8.47581i | −0.224294 | − | 0.388488i | ||||
\(477\) | 7.68901 | + | 10.4691i | 0.352056 | + | 0.479347i | ||||
\(478\) | −2.77438 | + | 4.80536i | −0.126897 | + | 0.219792i | ||||
\(479\) | 29.6937 | + | 24.9160i | 1.35674 | + | 1.13844i | 0.976974 | + | 0.213357i | \(0.0684398\pi\) |
0.379765 | + | 0.925083i | \(0.376005\pi\) | |||||||
\(480\) | 1.72430 | − | 14.3490i | 0.0787032 | − | 0.654937i | ||||
\(481\) | −4.57910 | − | 25.9694i | −0.208789 | − | 1.18410i | ||||
\(482\) | −33.8533 | + | 28.4063i | −1.54198 | + | 1.29387i | ||||
\(483\) | 2.55261 | − | 5.04186i | 0.116148 | − | 0.229413i | ||||
\(484\) | −11.4780 | + | 4.17765i | −0.521727 | + | 0.189893i | ||||
\(485\) | 22.4743 | 1.02051 | ||||||||
\(486\) | −32.7622 | − | 14.7663i | −1.48612 | − | 0.669813i | ||||
\(487\) | 3.98522 | 0.180588 | 0.0902939 | − | 0.995915i | \(-0.471219\pi\) | ||||
0.0902939 | + | 0.995915i | \(0.471219\pi\) | |||||||
\(488\) | 32.5180 | − | 11.8356i | 1.47202 | − | 0.535772i | ||||
\(489\) | 1.51617 | − | 2.99472i | 0.0685638 | − | 0.135426i | ||||
\(490\) | −2.81298 | + | 2.36037i | −0.127078 | + | 0.106631i | ||||
\(491\) | 4.94898 | + | 28.0671i | 0.223344 | + | 1.26665i | 0.865825 | + | 0.500347i | \(0.166794\pi\) |
−0.642480 | + | 0.766302i | \(0.722095\pi\) | |||||||
\(492\) | 3.58292 | − | 29.8156i | 0.161530 | − | 1.34419i | ||||
\(493\) | 16.3050 | + | 13.6815i | 0.734342 | + | 0.616186i | ||||
\(494\) | −9.17383 | + | 15.8895i | −0.412750 | + | 0.714904i | ||||
\(495\) | −10.8400 | − | 14.7594i | −0.487224 | − | 0.663387i | ||||
\(496\) | 0.807960 | + | 1.39943i | 0.0362785 | + | 0.0628361i | ||||
\(497\) | 0.995306 | − | 5.64466i | 0.0446456 | − | 0.253198i | ||||
\(498\) | 1.88833 | + | 8.08413i | 0.0846180 | + | 0.362258i | ||||
\(499\) | −7.87941 | − | 2.86787i | −0.352731 | − | 0.128384i | 0.159577 | − | 0.987186i | \(-0.448987\pi\) |
−0.512308 | + | 0.858802i | \(0.671209\pi\) | |||||||
\(500\) | 37.0234 | + | 13.4754i | 1.65574 | + | 0.602639i | ||||
\(501\) | −7.69515 | − | 2.33097i | −0.343794 | − | 0.104140i | ||||
\(502\) | 5.78332 | − | 32.7988i | 0.258122 | − | 1.46388i | ||||
\(503\) | 5.20742 | + | 9.01952i | 0.232187 | + | 0.402160i | 0.958452 | − | 0.285255i | \(-0.0920784\pi\) |
−0.726264 | + | 0.687416i | \(0.758745\pi\) | |||||||
\(504\) | −7.56247 | − | 5.04443i | −0.336859 | − | 0.224697i | ||||
\(505\) | 12.4050 | − | 21.4861i | 0.552015 | − | 0.956118i | ||||
\(506\) | 22.0803 | + | 18.5275i | 0.981588 | + | 0.823650i | ||||
\(507\) | 9.08158 | − | 3.88256i | 0.403327 | − | 0.172430i | ||||
\(508\) | 5.78530 | + | 32.8101i | 0.256681 | + | 1.45571i | ||||
\(509\) | −18.2087 | + | 15.2789i | −0.807087 | + | 0.677226i | −0.949911 | − | 0.312522i | \(-0.898826\pi\) |
0.142824 | + | 0.989748i | \(0.454382\pi\) | |||||||
\(510\) | 10.2694 | + | 15.7245i | 0.454735 | + | 0.696295i | ||||
\(511\) | −12.0525 | + | 4.38674i | −0.533170 | + | 0.194058i | ||||
\(512\) | 4.02905 | 0.178060 | ||||||||
\(513\) | 5.37552 | − | 14.3340i | 0.237335 | − | 0.632862i | ||||
\(514\) | 46.6964 | 2.05969 | ||||||||
\(515\) | 8.85043 | − | 3.22129i | 0.389996 | − | 0.141947i | ||||
\(516\) | 71.5261 | − | 3.93341i | 3.14876 | − | 0.173159i | ||||
\(517\) | 16.5733 | − | 13.9066i | 0.728892 | − | 0.611613i | ||||
\(518\) | 3.90765 | + | 22.1614i | 0.171692 | + | 0.973716i | ||||
\(519\) | 13.6607 | + | 10.2390i | 0.599637 | + | 0.449440i | ||||
\(520\) | −9.98845 | − | 8.38131i | −0.438023 | − | 0.367545i | ||||
\(521\) | −11.5669 | + | 20.0345i | −0.506756 | + | 0.877728i | 0.493213 | + | 0.869909i | \(0.335822\pi\) |
−0.999969 | + | 0.00781921i | \(0.997511\pi\) | |||||||
\(522\) | 48.4320 | + | 11.8106i | 2.11981 | + | 0.516936i | ||||
\(523\) | −5.09751 | − | 8.82915i | −0.222899 | − | 0.386072i | 0.732788 | − | 0.680457i | \(-0.238219\pi\) |
−0.955687 | + | 0.294385i | \(0.904885\pi\) | |||||||
\(524\) | 11.3738 | − | 64.5040i | 0.496867 | − | 2.81787i | ||||
\(525\) | −3.11211 | + | 2.91712i | −0.135824 | + | 0.127314i | ||||
\(526\) | −58.9359 | − | 21.4509i | −2.56973 | − | 0.935304i | ||||
\(527\) | 12.5739 | + | 4.57652i | 0.547727 | + | 0.199356i | ||||
\(528\) | 1.72687 | − | 1.61868i | 0.0751525 | − | 0.0704438i | ||||
\(529\) | −2.14536 | + | 12.1669i | −0.0932763 | + | 0.528996i | ||||
\(530\) | −7.94967 | − | 13.7692i | −0.345312 | − | 0.598097i | ||||
\(531\) | −12.2245 | + | 12.7901i | −0.530497 | + | 0.555043i | ||||
\(532\) | 4.88246 | − | 8.45667i | 0.211682 | − | 0.366643i | ||||
\(533\) | 10.8251 | + | 9.08338i | 0.468889 | + | 0.393445i | ||||
\(534\) | −41.6311 | − | 31.2034i | −1.80155 | − | 1.35030i | ||||
\(535\) | 1.28036 | + | 7.26126i | 0.0553546 | + | 0.313932i | ||||
\(536\) | 27.1846 | − | 22.8106i | 1.17419 | − | 0.985266i | ||||
\(537\) | −2.57655 | + | 0.141691i | −0.111186 | + | 0.00611444i | ||||
\(538\) | −13.4081 | + | 4.88014i | −0.578063 | + | 0.210398i | ||||
\(539\) | 3.83214 | 0.165062 | ||||||||
\(540\) | 23.6234 | + | 13.9469i | 1.01659 | + | 0.600178i | ||||
\(541\) | −33.0722 | −1.42189 | −0.710944 | − | 0.703249i | \(-0.751732\pi\) | ||||
−0.710944 | + | 0.703249i | \(0.751732\pi\) | |||||||
\(542\) | −30.9329 | + | 11.2587i | −1.32868 | + | 0.483601i | ||||
\(543\) | −2.45948 | − | 3.76599i | −0.105547 | − | 0.161614i | ||||
\(544\) | 11.8491 | − | 9.94253i | 0.508024 | − | 0.426283i | ||||
\(545\) | 0.282157 | + | 1.60019i | 0.0120863 | + | 0.0685447i | ||||
\(546\) | 9.91815 | − | 4.24021i | 0.424458 | − | 0.181464i | ||||
\(547\) | 25.4563 | + | 21.3603i | 1.08843 | + | 0.913302i | 0.996593 | − | 0.0824722i | \(-0.0262816\pi\) |
0.0918374 | + | 0.995774i | \(0.470726\pi\) | |||||||
\(548\) | −8.95841 | + | 15.5164i | −0.382684 | + | 0.662829i | ||||
\(549\) | 2.21368 | − | 34.1888i | 0.0944774 | − | 1.45914i | ||||
\(550\) | −10.8781 | − | 18.8414i | −0.463844 | − | 0.803401i | ||||
\(551\) | −3.68770 | + | 20.9140i | −0.157101 | + | 0.890967i | ||||
\(552\) | −16.3887 | − | 4.96438i | −0.697550 | − | 0.211298i | ||||
\(553\) | 4.96308 | + | 1.80641i | 0.211052 | + | 0.0768166i | ||||
\(554\) | −28.9650 | − | 10.5424i | −1.23060 | − | 0.447903i | ||||
\(555\) | −6.12592 | − | 26.2257i | −0.260031 | − | 1.11322i | ||||
\(556\) | −5.60842 | + | 31.8069i | −0.237850 | + | 1.34891i | ||||
\(557\) | −16.9906 | − | 29.4285i | −0.719914 | − | 1.24693i | −0.961033 | − | 0.276432i | \(-0.910848\pi\) |
0.241120 | − | 0.970495i | \(-0.422485\pi\) | |||||||
\(558\) | 31.1505 | − | 3.43649i | 1.31871 | − | 0.145478i | ||||
\(559\) | −16.8544 | + | 29.1927i | −0.712865 | + | 1.23472i | ||||
\(560\) | 0.435127 | + | 0.365115i | 0.0183875 | + | 0.0154289i | ||||
\(561\) | 2.33842 | − | 19.4594i | 0.0987282 | − | 0.821578i | ||||
\(562\) | −4.55075 | − | 25.8086i | −0.191962 | − | 1.08867i | ||||
\(563\) | −26.2000 | + | 21.9844i | −1.10420 | + | 0.926531i | −0.997700 | − | 0.0677817i | \(-0.978408\pi\) |
−0.106497 | + | 0.994313i | \(0.533963\pi\) | |||||||
\(564\) | −14.6395 | + | 28.9156i | −0.616434 | + | 1.21757i | ||||
\(565\) | −28.2615 | + | 10.2863i | −1.18897 | + | 0.432749i | ||||
\(566\) | −3.21316 | −0.135059 | ||||||||
\(567\) | −7.58286 | + | 4.84771i | −0.318450 | + | 0.203585i | ||||
\(568\) | −17.3681 | −0.728750 | ||||||||
\(569\) | −35.4776 | + | 12.9128i | −1.48730 | + | 0.541333i | −0.952737 | − | 0.303796i | \(-0.901746\pi\) |
−0.534562 | + | 0.845129i | \(0.679524\pi\) | |||||||
\(570\) | −8.46402 | + | 16.7180i | −0.354519 | + | 0.700238i | ||||
\(571\) | 16.2092 | − | 13.6011i | 0.678332 | − | 0.569188i | −0.237186 | − | 0.971464i | \(-0.576225\pi\) |
0.915518 | + | 0.402276i | \(0.131781\pi\) | |||||||
\(572\) | 5.95817 | + | 33.7905i | 0.249124 | + | 1.41285i | ||||
\(573\) | 1.83561 | − | 15.2753i | 0.0766839 | − | 0.638133i | ||||
\(574\) | −9.23783 | − | 7.75146i | −0.385579 | − | 0.323540i | ||||
\(575\) | −4.01758 | + | 6.95865i | −0.167545 | + | 0.290196i | ||||
\(576\) | 15.4244 | − | 35.1300i | 0.642683 | − | 1.46375i | ||||
\(577\) | 0.920061 | + | 1.59359i | 0.0383026 | + | 0.0663421i | 0.884541 | − | 0.466462i | \(-0.154472\pi\) |
−0.846239 | + | 0.532804i | \(0.821138\pi\) | |||||||
\(578\) | 3.31485 | − | 18.7995i | 0.137880 | − | 0.781954i | ||||
\(579\) | −0.917120 | − | 3.92628i | −0.0381142 | − | 0.163171i | ||||
\(580\) | −35.7607 | − | 13.0158i | −1.48488 | − | 0.540453i | ||||
\(581\) | 1.95374 | + | 0.711102i | 0.0810546 | + | 0.0295015i | ||||
\(582\) | 53.9172 | + | 16.3323i | 2.23494 | + | 0.676996i | ||||
\(583\) | −2.88123 | + | 16.3402i | −0.119328 | + | 0.676744i | ||||
\(584\) | 19.4324 | + | 33.6579i | 0.804119 | + | 1.39277i | ||||
\(585\) | −11.5734 | + | 5.71875i | −0.478500 | + | 0.236441i | ||||
\(586\) | 10.5144 | − | 18.2116i | 0.434348 | − | 0.752313i | ||||
\(587\) | −14.1215 | − | 11.8493i | −0.582855 | − | 0.489073i | 0.303028 | − | 0.952982i | \(-0.402002\pi\) |
−0.885883 | + | 0.463908i | \(0.846447\pi\) | |||||||
\(588\) | −5.27860 | + | 2.25671i | −0.217686 | + | 0.0930651i | ||||
\(589\) | 2.31831 | + | 13.1478i | 0.0955245 | + | 0.541746i | ||||
\(590\) | 16.5896 | − | 13.9203i | 0.682982 | − | 0.573090i | ||||
\(591\) | 19.4817 | + | 29.8305i | 0.801369 | + | 1.22706i | ||||
\(592\) | 3.27100 | − | 1.19055i | 0.134437 | − | 0.0489311i | ||||
\(593\) | 3.38680 | 0.139079 | 0.0695396 | − | 0.997579i | \(-0.477847\pi\) | ||||
0.0695396 | + | 0.997579i | \(0.477847\pi\) | |||||||
\(594\) | −15.2801 | − | 43.2863i | −0.626949 | − | 1.77606i | ||||
\(595\) | 4.70356 | 0.192827 | ||||||||
\(596\) | −37.2613 | + | 13.5620i | −1.52628 | + | 0.555521i | ||||
\(597\) | 0.0808508 | − | 0.00444620i | 0.00330900 | − | 0.000181971i | ||||
\(598\) | 15.5652 | − | 13.0608i | 0.636510 | − | 0.534095i | ||||
\(599\) | −0.500962 | − | 2.84109i | −0.0204687 | − | 0.116084i | 0.972861 | − | 0.231388i | \(-0.0743268\pi\) |
−0.993330 | + | 0.115304i | \(0.963216\pi\) | |||||||
\(600\) | 10.3426 | + | 7.75201i | 0.422236 | + | 0.316474i | ||||
\(601\) | −24.0479 | − | 20.1786i | −0.980934 | − | 0.823101i | 0.00329598 | − | 0.999995i | \(-0.498951\pi\) |
−0.984230 | + | 0.176893i | \(0.943395\pi\) | |||||||
\(602\) | 14.3830 | − | 24.9121i | 0.586207 | − | 1.01534i | ||||
\(603\) | −9.85811 | − | 33.7222i | −0.401453 | − | 1.37328i | ||||
\(604\) | −3.16613 | − | 5.48390i | −0.128828 | − | 0.223137i | ||||
\(605\) | 1.01936 | − | 5.78106i | 0.0414428 | − | 0.235034i | ||||
\(606\) | 45.3745 | − | 42.5316i | 1.84321 | − | 1.72773i | ||||
\(607\) | 23.5636 | + | 8.57644i | 0.956416 | + | 0.348107i | 0.772628 | − | 0.634859i | \(-0.218942\pi\) |
0.183788 | + | 0.982966i | \(0.441164\pi\) | |||||||
\(608\) | 14.5022 | + | 5.27836i | 0.588141 | + | 0.214066i | ||||
\(609\) | 9.10894 | − | 8.53822i | 0.369113 | − | 0.345986i | ||||
\(610\) | −7.28208 | + | 41.2987i | −0.294843 | + | 1.67214i | ||||
\(611\) | −7.62563 | − | 13.2080i | −0.308500 | − | 0.534338i | ||||
\(612\) | 8.23839 | + | 28.1816i | 0.333017 | + | 1.13917i | ||||
\(613\) | −17.4972 | + | 30.3060i | −0.706704 | + | 1.22405i | 0.259370 | + | 0.965778i | \(0.416485\pi\) |
−0.966073 | + | 0.258268i | \(0.916848\pi\) | |||||||
\(614\) | −43.0873 | − | 36.1546i | −1.73886 | − | 1.45908i | ||||
\(615\) | 11.5484 | + | 8.65579i | 0.465678 | + | 0.349035i | ||||
\(616\) | −2.01641 | − | 11.4356i | −0.0812433 | − | 0.460754i | ||||
\(617\) | −1.54159 | + | 1.29355i | −0.0620620 | + | 0.0520762i | −0.673291 | − | 0.739378i | \(-0.735120\pi\) |
0.611229 | + | 0.791454i | \(0.290675\pi\) | |||||||
\(618\) | 23.5736 | − | 1.29638i | 0.948271 | − | 0.0521480i | ||||
\(619\) | −15.5482 | + | 5.65910i | −0.624937 | + | 0.227458i | −0.635026 | − | 0.772491i | \(-0.719011\pi\) |
0.0100893 | + | 0.999949i | \(0.496788\pi\) | |||||||
\(620\) | −23.9241 | −0.960817 | ||||||||
\(621\) | −11.0233 | + | 12.8807i | −0.442350 | + | 0.516884i | ||||
\(622\) | 62.9551 | 2.52427 | ||||||||
\(623\) | −12.2440 | + | 4.45646i | −0.490547 | + | 0.178544i | ||||
\(624\) | −0.912343 | − | 1.39699i | −0.0365229 | − | 0.0559243i | ||||
\(625\) | −5.07237 | + | 4.25622i | −0.202895 | + | 0.170249i | ||||
\(626\) | −11.2198 | − | 63.6307i | −0.448434 | − | 2.54320i | ||||
\(627\) | 17.9809 | − | 7.68718i | 0.718087 | − | 0.306997i | ||||
\(628\) | −37.5088 | − | 31.4736i | −1.49676 | − | 1.25593i | ||||
\(629\) | 14.4121 | − | 24.9626i | 0.574650 | − | 0.995323i | ||||
\(630\) | 9.87634 | − | 4.88019i | 0.393483 | − | 0.194432i | ||||
\(631\) | 9.69068 | + | 16.7848i | 0.385780 | + | 0.668191i | 0.991877 | − | 0.127200i | \(-0.0405990\pi\) |
−0.606097 | + | 0.795391i | \(0.707266\pi\) | |||||||
\(632\) | 2.77909 | − | 15.7610i | 0.110546 | − | 0.626939i | ||||
\(633\) | 8.49261 | + | 2.57253i | 0.337551 | + | 0.102249i | ||||
\(634\) | 36.5826 | + | 13.3150i | 1.45288 | + | 0.528806i | ||||
\(635\) | −15.0459 | − | 5.47625i | −0.597077 | − | 0.217318i | ||||
\(636\) | −5.65384 | − | 24.2047i | −0.224189 | − | 0.959778i | ||||
\(637\) | 0.469097 | − | 2.66038i | 0.0185863 | − | 0.105408i | ||||
\(638\) | 31.8395 | + | 55.1476i | 1.26054 | + | 2.18331i | ||||
\(639\) | −6.91285 | + | 15.7445i | −0.273468 | + | 0.622841i | ||||
\(640\) | −15.1372 | + | 26.2184i | −0.598351 | + | 1.03637i | ||||
\(641\) | 7.36943 | + | 6.18369i | 0.291075 | + | 0.244241i | 0.776618 | − | 0.629972i | \(-0.216934\pi\) |
−0.485543 | + | 0.874213i | \(0.661378\pi\) | |||||||
\(642\) | −2.20518 | + | 18.3506i | −0.0870315 | + | 0.724242i | ||||
\(643\) | 7.72161 | + | 43.7914i | 0.304511 | + | 1.72696i | 0.625800 | + | 0.779984i | \(0.284773\pi\) |
−0.321289 | + | 0.946981i | \(0.604116\pi\) | |||||||
\(644\) | −8.28407 | + | 6.95116i | −0.326438 | + | 0.273914i | ||||
\(645\) | −15.5503 | + | 30.7147i | −0.612293 | + | 1.20939i | ||||
\(646\) | −18.8458 | + | 6.85933i | −0.741480 | + | 0.269877i | ||||
\(647\) | 4.30918 | 0.169411 | 0.0847056 | − | 0.996406i | \(-0.473005\pi\) | ||||
0.0847056 | + | 0.996406i | \(0.473005\pi\) | |||||||
\(648\) | 18.4562 | + | 20.0775i | 0.725027 | + | 0.788718i | ||||
\(649\) | −22.6000 | −0.887128 | ||||||||
\(650\) | −14.4119 | + | 5.24549i | −0.565280 | + | 0.205745i | ||||
\(651\) | 3.54524 | − | 7.00249i | 0.138949 | − | 0.274449i | ||||
\(652\) | −4.92050 | + | 4.12879i | −0.192701 | + | 0.161696i | ||||
\(653\) | 4.57613 | + | 25.9525i | 0.179078 | + | 1.01560i | 0.933331 | + | 0.359017i | \(0.116888\pi\) |
−0.754253 | + | 0.656584i | \(0.772001\pi\) | |||||||
\(654\) | −0.485964 | + | 4.04400i | −0.0190027 | + | 0.158133i | ||||
\(655\) | 24.1138 | + | 20.2339i | 0.942203 | + | 0.790602i | ||||
\(656\) | −0.932685 | + | 1.61546i | −0.0364152 | + | 0.0630730i | ||||
\(657\) | 38.2459 | − | 4.21924i | 1.49211 | − | 0.164608i | ||||
\(658\) | 6.50747 | + | 11.2713i | 0.253687 | + | 0.439399i | ||||
\(659\) | −0.959884 | + | 5.44377i | −0.0373918 | + | 0.212059i | −0.997779 | − | 0.0666092i | \(-0.978782\pi\) |
0.960387 | + | 0.278668i | \(0.0898930\pi\) | |||||||
\(660\) | 7.97084 | + | 34.1240i | 0.310265 | + | 1.32827i | ||||
\(661\) | −3.21766 | − | 1.17113i | −0.125153 | − | 0.0455518i | 0.278685 | − | 0.960383i | \(-0.410102\pi\) |
−0.403837 | + | 0.914831i | \(0.632324\pi\) | |||||||
\(662\) | 24.0534 | + | 8.75473i | 0.934862 | + | 0.340262i | ||||
\(663\) | −13.2231 | − | 4.00545i | −0.513541 | − | 0.155559i | ||||
\(664\) | 1.09400 | − | 6.20438i | 0.0424554 | − | 0.240777i | ||||
\(665\) | 2.34647 | + | 4.06420i | 0.0909922 | + | 0.157603i | ||||
\(666\) | 4.36203 | − | 67.3687i | 0.169025 | − | 2.61049i | ||||
\(667\) | 11.7592 | − | 20.3675i | 0.455317 | − | 0.788632i | ||||
\(668\) | 11.7864 | + | 9.89000i | 0.456031 | + | 0.382656i | ||||
\(669\) | −30.6601 | + | 13.1078i | −1.18539 | + | 0.506776i | ||||
\(670\) | 7.46768 | + | 42.3513i | 0.288501 | + | 1.63617i | ||||
\(671\) | 33.5248 | − | 28.1307i | 1.29421 | − | 1.08597i | ||||
\(672\) | −4.96108 | − | 7.59646i | −0.191378 | − | 0.293040i | ||||
\(673\) | 12.4033 | − | 4.51442i | 0.478110 | − | 0.174018i | −0.0917124 | − | 0.995786i | \(-0.529234\pi\) |
0.569823 | + | 0.821768i | \(0.307012\pi\) | |||||||
\(674\) | −41.0116 | −1.57971 | ||||||||
\(675\) | 11.1439 | − | 6.29028i | 0.428928 | − | 0.242113i | ||||
\(676\) | −18.8999 | −0.726921 | ||||||||
\(677\) | −17.6134 | + | 6.41076i | −0.676939 | + | 0.246386i | −0.657533 | − | 0.753426i | \(-0.728400\pi\) |
−0.0194064 | + | 0.999812i | \(0.506178\pi\) | |||||||
\(678\) | −75.2761 | + | 4.13963i | −2.89096 | + | 0.158982i | ||||
\(679\) | 10.8082 | − | 9.06920i | 0.414783 | − | 0.348044i | ||||
\(680\) | −2.47493 | − | 14.0360i | −0.0949094 | − | 0.538258i | ||||
\(681\) | −0.309184 | − | 0.231740i | −0.0118480 | − | 0.00888030i | ||||
\(682\) | 30.6666 | + | 25.7324i | 1.17429 | + | 0.985343i | ||||
\(683\) | 4.86847 | − | 8.43243i | 0.186287 | − | 0.322658i | −0.757723 | − | 0.652577i | \(-0.773688\pi\) |
0.944009 | + | 0.329919i | \(0.107021\pi\) | |||||||
\(684\) | −20.2410 | + | 21.1775i | −0.773933 | + | 0.809743i | ||||
\(685\) | −4.30533 | − | 7.45705i | −0.164498 | − | 0.284919i | ||||
\(686\) | −0.400312 | + | 2.27028i | −0.0152840 | + | 0.0866798i | ||||
\(687\) | −18.7218 | + | 17.5488i | −0.714282 | + | 0.669529i | ||||
\(688\) | −4.18132 | − | 1.52188i | −0.159411 | − | 0.0580210i | ||||
\(689\) | 10.9912 | + | 4.00046i | 0.418730 | + | 0.152405i | ||||
\(690\) | 15.1403 | − | 14.1917i | 0.576383 | − | 0.540270i | ||||
\(691\) | −7.33662 | + | 41.6080i | −0.279098 | + | 1.58284i | 0.446538 | + | 0.894765i | \(0.352657\pi\) |
−0.725636 | + | 0.688079i | \(0.758454\pi\) | |||||||
\(692\) | −16.3343 | − | 28.2919i | −0.620937 | − | 1.07549i | ||||
\(693\) | −11.1691 | − | 2.72370i | −0.424279 | − | 0.103465i | ||||
\(694\) | 31.0816 | − | 53.8349i | 1.17984 | − | 2.04355i | ||||
\(695\) | −11.8905 | − | 9.97731i | −0.451032 | − | 0.378461i | ||||
\(696\) | −30.2721 | − | 22.6896i | −1.14746 | − | 0.860047i | ||||
\(697\) | 2.68225 | + | 15.2118i | 0.101597 | + | 0.576188i | ||||
\(698\) | 11.4353 | − | 9.59536i | 0.432833 | − | 0.363190i | ||||
\(699\) | −22.9806 | + | 1.26377i | −0.869208 | + | 0.0478001i | ||||
\(700\) | 7.67023 | − | 2.79174i | 0.289907 | − | 0.105518i | ||||
\(701\) | −5.00977 | −0.189217 | −0.0946083 | − | 0.995515i | \(-0.530160\pi\) | ||||
−0.0946083 | + | 0.995515i | \(0.530160\pi\) | |||||||
\(702\) | −31.9211 | + | 5.30913i | −1.20478 | + | 0.200380i | ||||
\(703\) | 28.7592 | 1.08467 | ||||||||
\(704\) | 46.0536 | − | 16.7621i | 1.73571 | − | 0.631747i | ||||
\(705\) | −8.51700 | − | 13.0413i | −0.320769 | − | 0.491164i | ||||
\(706\) | 48.5641 | − | 40.7501i | 1.82773 | − | 1.53365i | ||||
\(707\) | −2.70465 | − | 15.3389i | −0.101719 | − | 0.576877i | ||||
\(708\) | 31.1305 | − | 13.3089i | 1.16996 | − | 0.500180i | ||||
\(709\) | 1.92962 | + | 1.61914i | 0.0724683 | + | 0.0608082i | 0.678302 | − | 0.734783i | \(-0.262716\pi\) |
−0.605834 | + | 0.795591i | \(0.707160\pi\) | |||||||
\(710\) | 10.5237 | − | 18.2276i | 0.394949 | − | 0.684071i | ||||
\(711\) | −13.1814 | − | 8.79247i | −0.494343 | − | 0.329743i | ||||
\(712\) | 19.7413 | + | 34.1929i | 0.739836 | + | 1.28143i | ||||
\(713\) | 2.56740 | − | 14.5604i | 0.0961498 | − | 0.545293i | ||||
\(714\) | 11.2841 | + | 3.41812i | 0.422298 | + | 0.127920i | ||||
\(715\) | −15.4955 | − | 5.63989i | −0.579497 | − | 0.210920i | ||||
\(716\) | 4.64012 | + | 1.68886i | 0.173409 | + | 0.0631158i | ||||
\(717\) | −0.948278 | − | 4.05968i | −0.0354141 | − | 0.151611i | ||||
\(718\) | 4.72224 | − | 26.7812i | 0.176233 | − | 0.999465i | ||||
\(719\) | 3.02944 | + | 5.24715i | 0.112979 | + | 0.195686i | 0.916970 | − | 0.398956i | \(-0.130627\pi\) |
−0.803991 | + | 0.594641i | \(0.797294\pi\) | |||||||
\(720\) | −1.00871 | − | 1.37343i | −0.0375925 | − | 0.0511846i | ||||
\(721\) | 2.95640 | − | 5.12064i | 0.110102 | − | 0.190703i | ||||
\(722\) | 18.2248 | + | 15.2924i | 0.678256 | + | 0.569124i | ||||
\(723\) | 3.96149 | − | 32.9660i | 0.147329 | − | 1.22602i | ||||
\(724\) | 1.49464 | + | 8.47650i | 0.0555477 | + | 0.315027i | ||||
\(725\) | −13.5986 | + | 11.4106i | −0.505038 | + | 0.423778i | ||||
\(726\) | 6.64665 | − | 13.1283i | 0.246680 | − | 0.487238i | ||||
\(727\) | −32.7832 | + | 11.9321i | −1.21586 | + | 0.442537i | −0.868733 | − | 0.495281i | \(-0.835065\pi\) |
−0.347128 | + | 0.937818i | \(0.612843\pi\) | |||||||
\(728\) | −8.18576 | −0.303385 | ||||||||
\(729\) | 25.5464 | − | 8.73956i | 0.946164 | − | 0.323687i | ||||
\(730\) | −47.0981 | −1.74318 | ||||||||
\(731\) | −34.6241 | + | 12.6021i | −1.28062 | + | 0.466107i | ||||
\(732\) | −29.6131 | + | 58.4912i | −1.09453 | + | 2.16190i | ||||
\(733\) | 31.8570 | − | 26.7312i | 1.17667 | − | 0.987341i | 0.176672 | − | 0.984270i | \(-0.443467\pi\) |
0.999995 | − | 0.00307086i | \(-0.000977488\pi\) | |||||||
\(734\) | −3.83248 | − | 21.7351i | −0.141459 | − | 0.802256i | ||||
\(735\) | 0.329174 | − | 2.73925i | 0.0121418 | − | 0.101039i | ||||
\(736\) | −13.0925 | − | 10.9859i | −0.482596 | − | 0.404946i | ||||
\(737\) | 22.4395 | − | 38.8663i | 0.826569 | − | 1.43166i | ||||
\(738\) | 21.4151 | + | 29.1581i | 0.788301 | + | 1.07332i | ||||
\(739\) | −12.6092 | − | 21.8397i | −0.463835 | − | 0.803387i | 0.535313 | − | 0.844654i | \(-0.320194\pi\) |
−0.999148 | + | 0.0412674i | \(0.986860\pi\) | |||||||
\(740\) | −8.94914 | + | 50.7531i | −0.328977 | + | 1.86572i | ||||
\(741\) | −3.13560 | − | 13.4238i | −0.115189 | − | 0.493137i | ||||
\(742\) | −9.37951 | − | 3.41386i | −0.344333 | − | 0.125327i | ||||
\(743\) | −11.0784 | − | 4.03221i | −0.406427 | − | 0.147927i | 0.130713 | − | 0.991420i | \(-0.458273\pi\) |
−0.537141 | + | 0.843493i | \(0.680496\pi\) | |||||||
\(744\) | −22.7618 | − | 6.89488i | −0.834488 | − | 0.252779i | ||||
\(745\) | 3.30916 | − | 18.7672i | 0.121238 | − | 0.687576i | ||||
\(746\) | 38.6368 | + | 66.9209i | 1.41459 | + | 2.45015i | ||||
\(747\) | −5.18892 | − | 3.46119i | −0.189853 | − | 0.126638i | ||||
\(748\) | −18.7526 | + | 32.4805i | −0.685664 | + | 1.18760i | ||||
\(749\) | 3.54592 | + | 2.97538i | 0.129565 | + | 0.108718i | ||||
\(750\) | −43.6435 | + | 18.6585i | −1.59364 | + | 0.681311i | ||||
\(751\) | −2.99774 | − | 17.0010i | −0.109389 | − | 0.620376i | −0.989376 | − | 0.145379i | \(-0.953560\pi\) |
0.879987 | − | 0.474998i | \(-0.157551\pi\) | |||||||
\(752\) | 1.54221 | − | 1.29407i | 0.0562388 | − | 0.0471899i | ||||
\(753\) | 13.6825 | + | 20.9508i | 0.498619 | + | 0.763491i | ||||
\(754\) | 42.1826 | − | 15.3532i | 1.53620 | − | 0.559130i | ||||
\(755\) | 3.04323 | 0.110754 | ||||||||
\(756\) | 16.9889 | − | 2.82561i | 0.617881 | − | 0.102766i | ||||
\(757\) | 33.0677 | 1.20187 | 0.600933 | − | 0.799299i | \(-0.294796\pi\) | ||||
0.600933 | + | 0.799299i | \(0.294796\pi\) | |||||||
\(758\) | −41.4764 | + | 15.0962i | −1.50649 | + | 0.548318i | ||||
\(759\) | −21.6235 | + | 1.18914i | −0.784885 | + | 0.0431629i | ||||
\(760\) | 10.8934 | − | 9.14069i | 0.395147 | − | 0.331568i | ||||
\(761\) | −1.83520 | − | 10.4080i | −0.0665260 | − | 0.377288i | −0.999834 | − | 0.0182114i | \(-0.994203\pi\) |
0.933308 | − | 0.359077i | \(-0.116908\pi\) | |||||||
\(762\) | −32.1163 | − | 24.0718i | −1.16345 | − | 0.872031i | ||||
\(763\) | 0.781429 | + | 0.655697i | 0.0282896 | + | 0.0237378i | ||||
\(764\) | −14.7204 | + | 25.4965i | −0.532566 | + | 0.922432i | ||||
\(765\) | −13.7089 | − | 3.34306i | −0.495648 | − | 0.120869i | ||||
\(766\) | 7.15946 | + | 12.4005i | 0.258682 | + | 0.448050i | ||||
\(767\) | −2.76650 | + | 15.6896i | −0.0998925 | + | 0.566518i | ||||
\(768\) | −23.0456 | + | 21.6016i | −0.831585 | + | 0.779482i | ||||
\(769\) | 21.8814 | + | 7.96419i | 0.789065 | + | 0.287196i | 0.704947 | − | 0.709260i | \(-0.250971\pi\) |
0.0841175 | + | 0.996456i | \(0.473193\pi\) | |||||||
\(770\) | 13.2233 | + | 4.81289i | 0.476535 | + | 0.173445i | ||||
\(771\) | −25.5974 | + | 23.9936i | −0.921869 | + | 0.864110i | ||||
\(772\) | −1.33979 | + | 7.59832i | −0.0482201 | + | 0.273470i | ||||
\(773\) | 2.86729 | + | 4.96630i | 0.103129 | + | 0.178625i | 0.912972 | − | 0.408021i | \(-0.133781\pi\) |
−0.809843 | + | 0.586647i | \(0.800448\pi\) | |||||||
\(774\) | −59.6268 | + | 62.3857i | −2.14324 | + | 2.24241i | ||||
\(775\) | −5.57989 | + | 9.66466i | −0.200436 | + | 0.347165i | ||||
\(776\) | −32.7508 | − | 27.4812i | −1.17569 | − | 0.986517i | ||||
\(777\) | −13.5291 | − | 10.1403i | −0.485352 | − | 0.363782i | ||||
\(778\) | −4.15774 | − | 23.5797i | −0.149062 | − | 0.845373i | ||||
\(779\) | −11.8060 | + | 9.90637i | −0.422992 | + | 0.354933i | ||||
\(780\) | 24.6656 | − | 1.35643i | 0.883170 | − | 0.0485679i | ||||
\(781\) | −20.6402 | + | 7.51241i | −0.738563 | + | 0.268815i | ||||
\(782\) | 22.2101 | 0.794232 | ||||||||
\(783\) | −32.6174 | + | 18.4112i | −1.16565 | + | 0.657963i | ||||
\(784\) | 0.356597 | 0.0127356 | ||||||||
\(785\) | 22.1126 | − | 8.04834i | 0.789234 | − | 0.287258i | ||||
\(786\) | 43.1462 | + | 66.0660i | 1.53898 | + | 2.35649i | ||||
\(787\) | −37.3803 | + | 31.3658i | −1.33246 | + | 1.11807i | −0.348967 | + | 0.937135i | \(0.613467\pi\) |
−0.983495 | + | 0.180934i | \(0.942088\pi\) | |||||||
\(788\) | −11.8391 | − | 67.1426i | −0.421749 | − | 2.39186i | ||||
\(789\) | 43.3287 | − | 18.5239i | 1.54254 | − | 0.659467i | ||||
\(790\) | 14.8571 | + | 12.4666i | 0.528591 | + | 0.443540i | ||||
\(791\) | −9.44047 | + | 16.3514i | −0.335665 | + | 0.581388i | ||||
\(792\) | −2.25087 | + | 34.7633i | −0.0799812 | + | 1.23526i | ||||
\(793\) | −15.4253 | − | 26.7174i | −0.547769 | − | 0.948764i | ||||
\(794\) | 7.72593 | − | 43.8159i | 0.274183 | − | 1.55497i | ||||
\(795\) | 11.4327 | + | 3.46313i | 0.405476 | + | 0.122824i | ||||
\(796\) | −0.145604 | − | 0.0529956i | −0.00516081 | − | 0.00187838i | ||||
\(797\) | −32.0158 | − | 11.6528i | −1.13406 | − | 0.412763i | −0.294293 | − | 0.955715i | \(-0.595084\pi\) |
−0.839763 | + | 0.542953i | \(0.817306\pi\) | |||||||
\(798\) | 2.67582 | + | 11.4555i | 0.0947230 | + | 0.405519i | ||||
\(799\) | 2.89484 | − | 16.4175i | 0.102412 | − | 0.580809i | ||||
\(800\) | 6.45017 | + | 11.1720i | 0.228048 | + | 0.394991i | ||||
\(801\) | 38.8538 | − | 4.28631i | 1.37283 | − | 0.151449i | ||||
\(802\) | −21.0445 | + | 36.4501i | −0.743107 | + | 1.28710i | ||||
\(803\) | 37.6518 | + | 31.5936i | 1.32870 | + | 1.11491i | ||||
\(804\) | −8.02141 | + | 66.7511i | −0.282893 | + | 2.35413i | ||||
\(805\) | −0.902477 | − | 5.11820i | −0.0318081 | − | 0.180393i | ||||
\(806\) | 21.6181 | − | 18.1397i | 0.761465 | − | 0.638945i | ||||
\(807\) | 4.84234 | − | 9.56449i | 0.170459 | − | 0.336686i | ||||
\(808\) | −44.3500 | + | 16.1421i | −1.56023 | + | 0.567877i | ||||
\(809\) | −5.21557 | −0.183370 | −0.0916849 | − | 0.995788i | \(-0.529225\pi\) | ||||
−0.0916849 | + | 0.995788i | \(0.529225\pi\) | |||||||
\(810\) | −32.2541 | + | 7.20415i | −1.13329 | + | 0.253128i | ||||
\(811\) | −4.97523 | −0.174704 | −0.0873520 | − | 0.996178i | \(-0.527840\pi\) | ||||
−0.0873520 | + | 0.996178i | \(0.527840\pi\) | |||||||
\(812\) | −22.4502 | + | 8.17122i | −0.787849 | + | 0.286754i | ||||
\(813\) | 11.1715 | − | 22.0657i | 0.391800 | − | 0.773876i | ||||
\(814\) | 66.0603 | − | 55.4312i | 2.31541 | − | 1.94286i | ||||
\(815\) | −0.536045 | − | 3.04006i | −0.0187768 | − | 0.106489i | ||||
\(816\) | 0.217600 | − | 1.81078i | 0.00761753 | − | 0.0633901i | ||||
\(817\) | −28.1621 | − | 23.6308i | −0.985266 | − | 0.826736i | ||||
\(818\) | 6.68961 | − | 11.5867i | 0.233897 | − | 0.405121i | ||||
\(819\) | −3.25809 | + | 7.42051i | −0.113847 | + | 0.259294i | ||||
\(820\) | −13.8087 | − | 23.9173i | −0.482219 | − | 0.835228i | ||||
\(821\) | −0.182488 | + | 1.03494i | −0.00636886 | + | 0.0361196i | −0.987827 | − | 0.155559i | \(-0.950282\pi\) |
0.981458 | + | 0.191679i | \(0.0613932\pi\) | |||||||
\(822\) | −4.90963 | − | 21.0186i | −0.171243 | − | 0.733110i | ||||
\(823\) | −2.81383 | − | 1.02415i | −0.0980840 | − | 0.0356996i | 0.292512 | − | 0.956262i | \(-0.405509\pi\) |
−0.390596 | + | 0.920562i | \(0.627731\pi\) | |||||||
\(824\) | −16.8363 | − | 6.12790i | −0.586519 | − | 0.213476i | ||||
\(825\) | 15.6442 | + | 4.73884i | 0.544660 | + | 0.164985i | ||||
\(826\) | 2.36084 | − | 13.3890i | 0.0821441 | − | 0.465862i | ||||
\(827\) | 2.08394 | + | 3.60949i | 0.0724656 | + | 0.125514i | 0.899981 | − | 0.435928i | \(-0.143580\pi\) |
−0.827516 | + | 0.561443i | \(0.810247\pi\) | |||||||
\(828\) | 29.0852 | − | 14.3719i | 1.01078 | − | 0.499457i | ||||
\(829\) | 6.66793 | − | 11.5492i | 0.231587 | − | 0.401120i | −0.726688 | − | 0.686967i | \(-0.758942\pi\) |
0.958275 | + | 0.285847i | \(0.0922749\pi\) | |||||||
\(830\) | 5.84854 | + | 4.90751i | 0.203006 | + | 0.170342i | ||||
\(831\) | 21.2946 | − | 9.10386i | 0.738701 | − | 0.315809i | ||||
\(832\) | −5.99929 | − | 34.0236i | −0.207988 | − | 1.17956i | ||||
\(833\) | 2.26202 | − | 1.89806i | 0.0783742 | − | 0.0657638i | ||||
\(834\) | −21.2754 | − | 32.5771i | −0.736707 | − | 1.12805i | ||||
\(835\) | −6.94849 | + | 2.52904i | −0.240462 | + | 0.0875212i | ||||
\(836\) | −37.4205 | −1.29422 | ||||||||
\(837\) | −15.3099 | + | 17.8896i | −0.529189 | + | 0.618355i | ||||
\(838\) | −4.09006 | −0.141289 | ||||||||
\(839\) | −14.1612 | + | 5.15424i | −0.488897 | + | 0.177944i | −0.574694 | − | 0.818369i | \(-0.694879\pi\) |
0.0857964 | + | 0.996313i | \(0.472657\pi\) | |||||||
\(840\) | −8.34750 | + | 0.459051i | −0.288016 | + | 0.0158388i | ||||
\(841\) | 17.5868 | − | 14.7571i | 0.606442 | − | 0.508866i | ||||
\(842\) | −7.70458 | − | 43.6948i | −0.265517 | − | 1.50582i | ||||
\(843\) | 15.7556 | + | 11.8091i | 0.542652 | + | 0.406729i | ||||
\(844\) | −13.0079 | − | 10.9149i | −0.447750 | − | 0.375707i | ||||
\(845\) | 4.54157 | − | 7.86624i | 0.156235 | − | 0.270607i | ||||
\(846\) | −10.9555 | − | 37.4763i | −0.376659 | − | 1.28846i | ||||
\(847\) | −1.84264 | − | 3.19155i | −0.0633139 | − | 0.109663i | ||||
\(848\) | −0.268110 | + | 1.52053i | −0.00920694 | + | 0.0522152i | ||||
\(849\) | 1.76135 | − | 1.65099i | 0.0604493 | − | 0.0566619i | ||||
\(850\) | −15.7532 | − | 5.73370i | −0.540331 | − | 0.196664i | ||||
\(851\) | −29.9284 | − | 10.8931i | −1.02593 | − | 0.373409i | ||||
\(852\) | 24.0070 | − | 22.5028i | 0.822465 | − | 0.770933i | ||||
\(853\) | −5.63114 | + | 31.9358i | −0.192807 | + | 1.09346i | 0.722701 | + | 0.691161i | \(0.242900\pi\) |
−0.915508 | + | 0.402300i | \(0.868211\pi\) | |||||||
\(854\) | 13.1635 | + | 22.7998i | 0.450444 | + | 0.780192i | ||||
\(855\) | −3.95036 | − | 13.5132i | −0.135099 | − | 0.462143i | ||||
\(856\) | 7.01313 | − | 12.1471i | 0.239704 | − | 0.415179i | ||||
\(857\) | 17.1425 | + | 14.3842i | 0.585576 | + | 0.491356i | 0.886773 | − | 0.462205i | \(-0.152942\pi\) |
−0.301197 | + | 0.953562i | \(0.597386\pi\) | |||||||
\(858\) | −33.0760 | − | 24.7911i | −1.12920 | − | 0.846355i | ||||
\(859\) | 1.35842 | + | 7.70396i | 0.0463486 | + | 0.262856i | 0.999173 | − | 0.0406670i | \(-0.0129483\pi\) |
−0.952824 | + | 0.303523i | \(0.901837\pi\) | |||||||
\(860\) | 50.4660 | − | 42.3460i | 1.72088 | − | 1.44399i | ||||
\(861\) | 9.04674 | − | 0.497504i | 0.308312 | − | 0.0169549i | ||||
\(862\) | −10.0888 | + | 3.67202i | −0.343626 | + | 0.125070i | ||||
\(863\) | −25.7164 | −0.875397 | −0.437699 | − | 0.899122i | \(-0.644206\pi\) | ||||
−0.437699 | + | 0.899122i | \(0.644206\pi\) | |||||||
\(864\) | 9.06032 | + | 25.6666i | 0.308238 | + | 0.873197i | ||||
\(865\) | 15.7003 | 0.533825 | ||||||||
\(866\) | 59.3682 | − | 21.6083i | 2.01741 | − | 0.734279i | ||||
\(867\) | 7.84248 | + | 12.0085i | 0.266345 | + | 0.407830i | ||||
\(868\) | −11.5055 | + | 9.65426i | −0.390522 | + | 0.327687i | ||||
\(869\) | −3.51461 | − | 19.9323i | −0.119225 | − | 0.676158i | ||||
\(870\) | 42.1550 | − | 18.0221i | 1.42919 | − | 0.611007i | ||||
\(871\) | −24.2353 | − | 20.3358i | −0.821181 | − | 0.689053i | ||||
\(872\) | 1.54551 | − | 2.67691i | 0.0523376 | − | 0.0906514i | ||||
\(873\) | −37.9476 | + | 18.7510i | −1.28433 | + | 0.634626i | ||||
\(874\) | 11.0800 | + | 19.1911i | 0.374786 | + | 0.649148i | ||||
\(875\) | −2.06420 | + | 11.7067i | −0.0697827 | + | 0.395757i | ||||
\(876\) | −70.4688 | − | 21.3460i | −2.38092 | − | 0.721215i | ||||
\(877\) | 24.7305 | + | 9.00118i | 0.835091 | + | 0.303948i | 0.723947 | − | 0.689856i | \(-0.242326\pi\) |
0.111144 | + | 0.993804i | \(0.464548\pi\) | |||||||
\(878\) | −33.6146 | − | 12.2347i | −1.13444 | − | 0.412901i | ||||
\(879\) | 3.59383 | + | 15.3855i | 0.121217 | + | 0.518941i | ||||
\(880\) | 0.377984 | − | 2.14366i | 0.0127419 | − | 0.0722626i | ||||
\(881\) | 21.7861 | + | 37.7347i | 0.733993 | + | 1.27131i | 0.955164 | + | 0.296078i | \(0.0956789\pi\) |
−0.221171 | + | 0.975235i | \(0.570988\pi\) | |||||||
\(882\) | 2.78035 | − | 6.33242i | 0.0936193 | − | 0.213224i | ||||
\(883\) | 20.8623 | − | 36.1345i | 0.702071 | − | 1.21602i | −0.265667 | − | 0.964065i | \(-0.585592\pi\) |
0.967738 | − | 0.251958i | \(-0.0810745\pi\) | |||||||
\(884\) | 20.2534 | + | 16.9946i | 0.681194 | + | 0.571590i | ||||
\(885\) | −1.94130 | + | 16.1547i | −0.0652561 | + | 0.543036i | ||||
\(886\) | 0.636712 | + | 3.61097i | 0.0213908 | + | 0.121313i | ||||
\(887\) | 39.8062 | − | 33.4014i | 1.33656 | − | 1.12151i | 0.354065 | − | 0.935221i | \(-0.384799\pi\) |
0.982495 | − | 0.186287i | \(-0.0596454\pi\) | |||||||
\(888\) | −23.1413 | + | 45.7082i | −0.776570 | + | 1.53387i | ||||
\(889\) | −9.44566 | + | 3.43794i | −0.316797 | + | 0.115305i | ||||
\(890\) | −47.8467 | −1.60383 | ||||||||
\(891\) | 30.6175 | + | 15.8769i | 1.02573 | + | 0.531896i | ||||
\(892\) | 63.8076 | 2.13644 | ||||||||
\(893\) | 15.6300 | − | 5.68885i | 0.523038 | − | 0.190370i | ||||
\(894\) | 21.5772 | − | 42.6188i | 0.721648 | − | 1.42539i | ||||
\(895\) | −1.81791 | + | 1.52541i | −0.0607661 | + | 0.0509888i | ||||
\(896\) | 3.30036 | + | 18.7173i | 0.110257 | + | 0.625300i | ||||
\(897\) | −1.82143 | + | 15.1573i | −0.0608159 | + | 0.506086i | ||||
\(898\) | −43.8860 | − | 36.8247i | −1.46449 | − | 1.22886i | ||||
\(899\) | 16.3320 | − | 28.2878i | 0.544702 | − | 0.943451i | ||||
\(900\) | −24.3398 | + | 2.68514i | −0.811327 | + | 0.0895047i | ||||
\(901\) | 6.39260 | + | 11.0723i | 0.212968 | + | 0.368872i | ||||
\(902\) | −8.02467 | + | 45.5102i | −0.267192 | + | 1.51532i | ||||
\(903\) | 4.91609 | + | 21.0463i | 0.163597 | + | 0.700376i | ||||
\(904\) | 53.7621 | + | 19.5678i | 1.78810 | + | 0.650815i | ||||
\(905\) | −3.88711 | − | 1.41479i | −0.129212 | − | 0.0470293i | ||||
\(906\) | 7.30089 | + | 2.21154i | 0.242556 | + | 0.0734736i | ||||
\(907\) | 9.32790 | − | 52.9011i | 0.309728 | − | 1.75655i | −0.290643 | − | 0.956832i | \(-0.593869\pi\) |
0.600371 | − | 0.799722i | \(-0.295020\pi\) | |||||||
\(908\) | 0.369697 | + | 0.640334i | 0.0122688 | + | 0.0212502i | ||||
\(909\) | −3.01915 | + | 46.6288i | −0.100139 | + | 1.54658i | ||||
\(910\) | 4.95993 | − | 8.59086i | 0.164420 | − | 0.284784i | ||||
\(911\) | 5.62405 | + | 4.71913i | 0.186333 | + | 0.156352i | 0.731182 | − | 0.682182i | \(-0.238969\pi\) |
−0.544850 | + | 0.838534i | \(0.683413\pi\) | |||||||
\(912\) | 1.67320 | − | 0.715325i | 0.0554051 | − | 0.0236868i | ||||
\(913\) | −1.38354 | − | 7.84644i | −0.0457885 | − | 0.259679i | ||||
\(914\) | −19.1432 | + | 16.0630i | −0.633200 | + | 0.531318i | ||||
\(915\) | −17.2284 | − | 26.3803i | −0.569553 | − | 0.872105i | ||||
\(916\) | 46.1425 | − | 16.7945i | 1.52459 | − | 0.554906i | ||||
\(917\) | 19.7618 | 0.652592 | ||||||||
\(918\) | −30.4591 | − | 17.9826i | −1.00530 | − | 0.593515i | ||||
\(919\) | −50.0361 | −1.65054 | −0.825270 | − | 0.564739i | \(-0.808977\pi\) | ||||
−0.825270 | + | 0.564739i | \(0.808977\pi\) | |||||||
\(920\) | −14.7985 | + | 5.38622i | −0.487893 | + | 0.177578i | ||||
\(921\) | 42.1961 | − | 2.32047i | 1.39041 | − | 0.0764622i | ||||
\(922\) | −37.1559 | + | 31.1775i | −1.22367 | + | 1.02678i | ||||
\(923\) | 2.68874 | + | 15.2486i | 0.0885010 | + | 0.501914i | ||||
\(924\) | 17.6036 | + | 13.1942i | 0.579115 | + | 0.434059i | ||||
\(925\) | 18.4155 | + | 15.4525i | 0.605499 | + | 0.508074i | ||||
\(926\) | −37.7968 | + | 65.4660i | −1.24208 | + | 2.15134i | ||||
\(927\) | −12.2562 | + | 12.8233i | −0.402546 | + | 0.421172i | ||||
\(928\) | −18.8792 | − | 32.6998i | −0.619741 | − | 1.07342i | ||||
\(929\) | −3.14352 | + | 17.8278i | −0.103136 | + | 0.584911i | 0.888813 | + | 0.458270i | \(0.151531\pi\) |
−0.991949 | + | 0.126641i | \(0.959580\pi\) | |||||||
\(930\) | 21.0280 | − | 19.7105i | 0.689534 | − | 0.646332i | ||||
\(931\) | 2.76851 | + | 1.00765i | 0.0907341 | + | 0.0330245i | ||||
\(932\) | 41.3859 | + | 15.0632i | 1.35564 | + | 0.493413i | ||||
\(933\) | −34.5099 | + | 32.3477i | −1.12980 | + | 1.05902i | ||||
\(934\) | −0.916342 | + | 5.19683i | −0.0299836 | + | 0.170046i | ||||
\(935\) | −9.01235 | − | 15.6098i | −0.294735 | − | 0.510496i | ||||
\(936\) | 23.8581 | + | 5.81804i | 0.779828 | + | 0.190169i | ||||
\(937\) | 18.4445 | − | 31.9468i | 0.602556 | − | 1.04366i | −0.389877 | − | 0.920867i | \(-0.627482\pi\) |
0.992433 | − | 0.122791i | \(-0.0391843\pi\) | |||||||
\(938\) | 20.6816 | + | 17.3539i | 0.675278 | + | 0.566626i | ||||
\(939\) | 38.8452 | + | 29.1153i | 1.26767 | + | 0.950142i | ||||
\(940\) | 5.17580 | + | 29.3534i | 0.168816 | + | 0.957404i | ||||
\(941\) | 41.8978 | − | 35.1564i | 1.36583 | − | 1.14607i | 0.391694 | − | 0.920096i | \(-0.371889\pi\) |
0.974134 | − | 0.225970i | \(-0.0725551\pi\) | |||||||
\(942\) | 58.8983 | − | 3.23898i | 1.91901 | − | 0.105532i | ||||
\(943\) | 16.0381 | − | 5.83740i | 0.522274 | − | 0.190092i | ||||
\(944\) | −2.10303 | −0.0684477 | ||||||||
\(945\) | −2.90633 | + | 7.74984i | −0.0945430 | + | 0.252102i | ||||
\(946\) | −110.235 | −3.58406 | ||||||||
\(947\) | 35.3833 | − | 12.8785i | 1.14980 | − | 0.418494i | 0.304358 | − | 0.952558i | \(-0.401558\pi\) |
0.845444 | + | 0.534064i | \(0.179336\pi\) | |||||||
\(948\) | 16.5792 | + | 25.3862i | 0.538467 | + | 0.824506i | ||||
\(949\) | 26.5422 | − | 22.2715i | 0.861595 | − | 0.722964i | ||||
\(950\) | −2.90450 | − | 16.4723i | −0.0942345 | − | 0.534430i | ||||
\(951\) | −26.8949 | + | 11.4981i | −0.872128 | + | 0.372852i | ||||
\(952\) | −6.85429 | − | 5.75143i | −0.222149 | − | 0.186405i | ||||
\(953\) | −12.1127 | + | 20.9798i | −0.392369 | + | 0.679603i | −0.992762 | − | 0.120102i | \(-0.961678\pi\) |
0.600392 | + | 0.799706i | \(0.295011\pi\) | |||||||
\(954\) | 24.9110 | + | 16.6165i | 0.806524 | + | 0.537979i | ||||
\(955\) | −7.07451 | − | 12.2534i | −0.228926 | − | 0.396511i | ||||
\(956\) | −1.38531 | + | 7.85647i | −0.0448041 | + | 0.254096i | ||||
\(957\) | −45.7894 | − | 13.8703i | −1.48016 | − | 0.448362i | ||||
\(958\) | 83.9701 | + | 30.5626i | 2.71295 | + | 0.987433i | ||||
\(959\) | −5.07969 | − | 1.84886i | −0.164032 | − | 0.0597027i | ||||
\(960\) | −8.02584 | − | 34.3595i | −0.259033 | − | 1.10895i | ||||
\(961\) | −1.81731 | + | 10.3065i | −0.0586229 | + | 0.332467i | ||||
\(962\) | −30.3954 | − | 52.6464i | −0.979988 | − | 1.69739i | ||||
\(963\) | −8.22016 | − | 11.1923i | −0.264891 | − | 0.360666i | ||||
\(964\) | −31.7686 | + | 55.0248i | −1.02320 | + | 1.77223i | ||||
\(965\) | −2.84051 | − | 2.38347i | −0.0914392 | − | 0.0767266i | ||||
\(966\) | 1.55435 | − | 12.9347i | 0.0500104 | − | 0.416167i | ||||
\(967\) | −0.744194 | − | 4.22054i | −0.0239317 | − | 0.135723i | 0.970501 | − | 0.241097i | \(-0.0775072\pi\) |
−0.994433 | + | 0.105374i | \(0.966396\pi\) | |||||||
\(968\) | −8.55444 | + | 7.17803i | −0.274950 | + | 0.230711i | ||||
\(969\) | 6.80620 | − | 13.4435i | 0.218647 | − | 0.431867i | ||||
\(970\) | 48.6856 | − | 17.7201i | 1.56320 | − | 0.568959i | ||||
\(971\) | 15.3121 | 0.491389 | 0.245695 | − | 0.969347i | \(-0.420984\pi\) | ||||
0.245695 | + | 0.969347i | \(0.420984\pi\) | |||||||
\(972\) | −51.5240 | − | 3.83940i | −1.65263 | − | 0.123149i | ||||
\(973\) | −9.74454 | −0.312395 | ||||||||
\(974\) | 8.63310 | − | 3.14219i | 0.276622 | − | 0.100682i | ||||
\(975\) | 5.20486 | − | 10.2805i | 0.166689 | − | 0.329241i | ||||
\(976\) | 3.11963 | − | 2.61768i | 0.0998569 | − | 0.0837899i | ||||
\(977\) | 1.31776 | + | 7.47341i | 0.0421590 | + | 0.239096i | 0.998604 | − | 0.0528162i | \(-0.0168197\pi\) |
−0.956445 | + | 0.291912i | \(0.905709\pi\) | |||||||
\(978\) | 0.923239 | − | 7.68283i | 0.0295219 | − | 0.245670i | ||||
\(979\) | 38.2502 | + | 32.0957i | 1.22248 | + | 1.02578i | ||||
\(980\) | −2.63976 | + | 4.57220i | −0.0843240 | + | 0.146053i | ||||
\(981\) | −1.81151 | − | 2.46649i | −0.0578370 | − | 0.0787489i | ||||
\(982\) | 32.8507 | + | 56.8990i | 1.04831 | + | 1.81572i | ||||
\(983\) | −6.38493 | + | 36.2107i | −0.203648 | + | 1.15494i | 0.695906 | + | 0.718133i | \(0.255003\pi\) |
−0.899554 | + | 0.436810i | \(0.856108\pi\) | |||||||
\(984\) | −6.24486 | − | 26.7349i | −0.199079 | − | 0.852278i | ||||
\(985\) | 30.7899 | + | 11.2066i | 0.981049 | + | 0.357073i | ||||
\(986\) | 46.1086 | + | 16.7822i | 1.46840 | + | 0.534453i | ||||
\(987\) | −9.35860 | − | 2.83486i | −0.297888 | − | 0.0902345i | ||||
\(988\) | −4.58070 | + | 25.9784i | −0.145731 | + | 0.826484i | ||||
\(989\) | 20.3564 | + | 35.2584i | 0.647296 | + | 1.12115i | ||||
\(990\) | −35.1198 | − | 23.4261i | −1.11618 | − | 0.744530i | ||||
\(991\) | 21.5345 | − | 37.2989i | 0.684067 | − | 1.18484i | −0.289662 | − | 0.957129i | \(-0.593543\pi\) |
0.973729 | − | 0.227710i | \(-0.0731237\pi\) | |||||||
\(992\) | −18.1838 | − | 15.2580i | −0.577336 | − | 0.484442i | ||||
\(993\) | −17.6837 | + | 7.56012i | −0.561174 | + | 0.239913i | ||||
\(994\) | −2.29448 | − | 13.0127i | −0.0727766 | − | 0.412737i | ||||
\(995\) | 0.0570451 | − | 0.0478665i | 0.00180845 | − | 0.00151747i | ||||
\(996\) | 6.52646 | + | 9.99338i | 0.206799 | + | 0.316652i | ||||
\(997\) | −14.9944 | + | 5.45752i | −0.474878 | + | 0.172841i | −0.568361 | − | 0.822780i | \(-0.692422\pi\) |
0.0934830 | + | 0.995621i | \(0.470200\pi\) | |||||||
\(998\) | −19.3302 | −0.611887 | ||||||||
\(999\) | 32.2244 | + | 39.1706i | 1.01954 | + | 1.23930i |
(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 | 189.2.v.a.169.9 | yes | 54 | |
3.2 | odd | 2 | 567.2.v.b.505.1 | 54 | |||
27.2 | odd | 18 | 5103.2.a.f.1.26 | 27 | |||
27.4 | even | 9 | inner | 189.2.v.a.85.9 | ✓ | 54 | |
27.23 | odd | 18 | 567.2.v.b.64.1 | 54 | |||
27.25 | even | 9 | 5103.2.a.i.1.2 | 27 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.v.a.85.9 | ✓ | 54 | 27.4 | even | 9 | inner | |
189.2.v.a.169.9 | yes | 54 | 1.1 | even | 1 | trivial | |
567.2.v.b.64.1 | 54 | 27.23 | odd | 18 | |||
567.2.v.b.505.1 | 54 | 3.2 | odd | 2 | |||
5103.2.a.f.1.26 | 27 | 27.2 | odd | 18 | |||
5103.2.a.i.1.2 | 27 | 27.25 | even | 9 |