Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [456,2,Mod(35,456)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(456, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("456.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 456 = 2^{3} \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 456.bu (of order \(18\), 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: | \(3.64117833217\) |
Analytic rank: | \(0\) |
Dimension: | \(432\) |
Relative dimension: | \(72\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 131.65 | ||
Character | \(\chi\) | \(=\) | 456.131 |
Dual form | 456.2.bu.c.275.65 |
$q$-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 \(\left(\mathbb{Z}/456\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(229\) | \(305\) | \(343\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.32022 | − | 0.506983i | 0.933533 | − | 0.358491i | ||||
\(3\) | −0.675866 | + | 1.59474i | −0.390211 | + | 0.920725i | ||||
\(4\) | 1.48594 | − | 1.33865i | 0.742968 | − | 0.669327i | ||||
\(5\) | −1.38328 | + | 0.503472i | −0.618620 | + | 0.225159i | −0.632271 | − | 0.774747i | \(-0.717877\pi\) |
0.0136505 | + | 0.999907i | \(0.495655\pi\) | |||||||
\(6\) | −0.0837809 | + | 2.44806i | −0.0342034 | + | 0.999415i | ||||
\(7\) | 3.92214 | − | 2.26445i | 1.48243 | − | 0.855882i | 0.482630 | − | 0.875825i | \(-0.339682\pi\) |
0.999801 | + | 0.0199427i | \(0.00634838\pi\) | |||||||
\(8\) | 1.28308 | − | 2.52066i | 0.453637 | − | 0.891186i | ||||
\(9\) | −2.08641 | − | 2.15567i | −0.695470 | − | 0.718555i | ||||
\(10\) | −1.57097 | + | 1.36599i | −0.496785 | + | 0.431964i | ||||
\(11\) | 0.674933 | + | 0.389673i | 0.203500 | + | 0.117491i | 0.598287 | − | 0.801282i | \(-0.295848\pi\) |
−0.394787 | + | 0.918773i | \(0.629182\pi\) | |||||||
\(12\) | 1.13051 | + | 3.27444i | 0.326351 | + | 0.945248i | ||||
\(13\) | 1.93582 | + | 2.30702i | 0.536900 | + | 0.639853i | 0.964490 | − | 0.264120i | \(-0.0850815\pi\) |
−0.427589 | + | 0.903973i | \(0.640637\pi\) | |||||||
\(14\) | 4.03003 | − | 4.97802i | 1.07707 | − | 1.33043i | ||||
\(15\) | 0.132002 | − | 2.54625i | 0.0340828 | − | 0.657439i | ||||
\(16\) | 0.416012 | − | 3.97831i | 0.104003 | − | 0.994577i | ||||
\(17\) | 6.89185 | + | 1.21522i | 1.67152 | + | 0.294734i | 0.927611 | − | 0.373549i | \(-0.121859\pi\) |
0.743908 | + | 0.668282i | \(0.232970\pi\) | |||||||
\(18\) | −3.84740 | − | 1.78817i | −0.906840 | − | 0.421475i | ||||
\(19\) | −1.66915 | + | 4.02665i | −0.382929 | + | 0.923778i | ||||
\(20\) | −1.38149 | + | 2.59986i | −0.308910 | + | 0.581345i | ||||
\(21\) | 0.960373 | + | 7.78528i | 0.209570 | + | 1.69889i | ||||
\(22\) | 1.08861 | + | 0.172272i | 0.232093 | + | 0.0367285i | ||||
\(23\) | −2.25555 | − | 0.820955i | −0.470316 | − | 0.171181i | 0.0959797 | − | 0.995383i | \(-0.469402\pi\) |
−0.566295 | + | 0.824202i | \(0.691624\pi\) | |||||||
\(24\) | 3.15261 | + | 3.74981i | 0.643523 | + | 0.765427i | ||||
\(25\) | −2.17025 | + | 1.82106i | −0.434050 | + | 0.364211i | ||||
\(26\) | 3.72532 | + | 2.06434i | 0.730596 | + | 0.404850i | ||||
\(27\) | 4.84787 | − | 1.87035i | 0.932972 | − | 0.359948i | ||||
\(28\) | 2.79674 | − | 8.61522i | 0.528534 | − | 1.62812i | ||||
\(29\) | −0.354954 | − | 2.01304i | −0.0659132 | − | 0.373812i | −0.999865 | − | 0.0164141i | \(-0.994775\pi\) |
0.933952 | − | 0.357398i | \(-0.116336\pi\) | |||||||
\(30\) | −1.11663 | − | 3.42852i | −0.203869 | − | 0.625960i | ||||
\(31\) | −5.63852 | + | 3.25540i | −1.01271 | + | 0.584687i | −0.911983 | − | 0.410227i | \(-0.865449\pi\) |
−0.100725 | + | 0.994914i | \(0.532116\pi\) | |||||||
\(32\) | −1.46771 | − | 5.46313i | −0.259457 | − | 0.965755i | ||||
\(33\) | −1.07759 | + | 0.812978i | −0.187585 | + | 0.141521i | ||||
\(34\) | 9.71482 | − | 1.88970i | 1.66608 | − | 0.324081i | ||||
\(35\) | −4.28532 | + | 5.10705i | −0.724352 | + | 0.863249i | ||||
\(36\) | −5.98596 | − | 0.410201i | −0.997660 | − | 0.0683668i | ||||
\(37\) | − | 5.12134i | − | 0.841943i | −0.907074 | − | 0.420972i | \(-0.861689\pi\) | ||
0.907074 | − | 0.420972i | \(-0.138311\pi\) | |||||||
\(38\) | −0.162188 | + | 6.16228i | −0.0263103 | + | 0.999654i | ||||
\(39\) | −4.98746 | + | 1.52790i | −0.798634 | + | 0.244660i | ||||
\(40\) | −0.505777 | + | 4.13276i | −0.0799704 | + | 0.653447i | ||||
\(41\) | 1.68681 | − | 2.01026i | 0.263436 | − | 0.313951i | −0.618071 | − | 0.786123i | \(-0.712085\pi\) |
0.881506 | + | 0.472172i | \(0.156530\pi\) | |||||||
\(42\) | 5.21490 | + | 9.79135i | 0.804677 | + | 1.51084i | ||||
\(43\) | −0.343217 | + | 0.124921i | −0.0523401 | + | 0.0190502i | −0.368058 | − | 0.929803i | \(-0.619977\pi\) |
0.315717 | + | 0.948853i | \(0.397755\pi\) | |||||||
\(44\) | 1.52454 | − | 0.324473i | 0.229834 | − | 0.0489161i | ||||
\(45\) | 3.97140 | + | 1.93143i | 0.592021 | + | 0.287921i | ||||
\(46\) | −3.39403 | + | 0.0596913i | −0.500422 | + | 0.00880101i | ||||
\(47\) | −0.490410 | − | 2.78126i | −0.0715337 | − | 0.405688i | −0.999458 | − | 0.0329192i | \(-0.989520\pi\) |
0.927924 | − | 0.372769i | \(-0.121592\pi\) | |||||||
\(48\) | 6.06321 | + | 3.35224i | 0.875149 | + | 0.483854i | ||||
\(49\) | 6.75547 | − | 11.7008i | 0.965067 | − | 1.67155i | ||||
\(50\) | −1.94195 | + | 3.50447i | −0.274634 | + | 0.495606i | ||||
\(51\) | −6.59593 | + | 10.1694i | −0.923614 | + | 1.42400i | ||||
\(52\) | 5.96481 | + | 0.836693i | 0.827171 | + | 0.116028i | ||||
\(53\) | −6.24605 | − | 2.27338i | −0.857962 | − | 0.312272i | −0.124680 | − | 0.992197i | \(-0.539790\pi\) |
−0.733282 | + | 0.679925i | \(0.762013\pi\) | |||||||
\(54\) | 5.45199 | − | 4.92705i | 0.741922 | − | 0.670486i | ||||
\(55\) | −1.12981 | − | 0.199216i | −0.152343 | − | 0.0268622i | ||||
\(56\) | −0.675474 | − | 12.7918i | −0.0902640 | − | 1.70938i | ||||
\(57\) | −5.29336 | − | 5.38334i | −0.701123 | − | 0.713041i | ||||
\(58\) | −1.48919 | − | 2.47769i | −0.195541 | − | 0.325337i | ||||
\(59\) | −14.3723 | − | 2.53423i | −1.87112 | − | 0.329928i | −0.881332 | − | 0.472497i | \(-0.843353\pi\) |
−0.989785 | + | 0.142569i | \(0.954464\pi\) | |||||||
\(60\) | −3.21240 | − | 3.96027i | −0.414719 | − | 0.511269i | ||||
\(61\) | 2.28545 | − | 6.27923i | 0.292622 | − | 0.803973i | −0.703059 | − | 0.711132i | \(-0.748183\pi\) |
0.995681 | − | 0.0928409i | \(-0.0295948\pi\) | |||||||
\(62\) | −5.79363 | + | 7.15646i | −0.735791 | + | 0.908872i | ||||
\(63\) | −13.0646 | − | 3.73026i | −1.64598 | − | 0.469968i | ||||
\(64\) | −4.70741 | − | 6.46841i | −0.588426 | − | 0.808551i | ||||
\(65\) | −3.83930 | − | 2.21662i | −0.476206 | − | 0.274938i | ||||
\(66\) | −1.01049 | + | 1.61963i | −0.124382 | + | 0.199362i | ||||
\(67\) | 1.30535 | + | 7.40302i | 0.159474 | + | 0.904423i | 0.954581 | + | 0.297953i | \(0.0963039\pi\) |
−0.795106 | + | 0.606470i | \(0.792585\pi\) | |||||||
\(68\) | 11.8676 | − | 7.42006i | 1.43916 | − | 0.899814i | ||||
\(69\) | 2.83366 | − | 3.04217i | 0.341133 | − | 0.366235i | ||||
\(70\) | −3.06836 | + | 8.91499i | −0.366739 | + | 1.06555i | ||||
\(71\) | −5.55190 | + | 2.02073i | −0.658889 | + | 0.239816i | −0.649757 | − | 0.760142i | \(-0.725129\pi\) |
−0.00913244 | + | 0.999958i | \(0.502907\pi\) | |||||||
\(72\) | −8.11072 | + | 2.49323i | −0.955858 | + | 0.293830i | ||||
\(73\) | 1.02524 | + | 0.860276i | 0.119995 | + | 0.100688i | 0.700811 | − | 0.713347i | \(-0.252822\pi\) |
−0.580816 | + | 0.814035i | \(0.697266\pi\) | |||||||
\(74\) | −2.59643 | − | 6.76127i | −0.301829 | − | 0.785982i | ||||
\(75\) | −1.43732 | − | 4.69178i | −0.165967 | − | 0.541760i | ||||
\(76\) | 2.91005 | + | 8.21776i | 0.333806 | + | 0.942642i | ||||
\(77\) | 3.52958 | 0.402233 | ||||||||
\(78\) | −5.80991 | + | 4.54572i | −0.657842 | + | 0.514701i | ||||
\(79\) | −10.0657 | + | 11.9958i | −1.13248 | + | 1.34964i | −0.203686 | + | 0.979036i | \(0.565292\pi\) |
−0.928793 | + | 0.370600i | \(0.879152\pi\) | |||||||
\(80\) | 1.42750 | + | 5.71255i | 0.159600 | + | 0.638683i | ||||
\(81\) | −0.293787 | + | 8.99520i | −0.0326430 | + | 0.999467i | ||||
\(82\) | 1.20778 | − | 3.50917i | 0.133377 | − | 0.387523i | ||||
\(83\) | 2.94697 | − | 1.70143i | 0.323472 | − | 0.186757i | −0.329467 | − | 0.944167i | \(-0.606869\pi\) |
0.652939 | + | 0.757410i | \(0.273536\pi\) | |||||||
\(84\) | 11.8488 | + | 10.2828i | 1.29281 | + | 1.12195i | ||||
\(85\) | −10.1452 | + | 1.78887i | −1.10040 | + | 0.194030i | ||||
\(86\) | −0.389787 | + | 0.338927i | −0.0420319 | + | 0.0365475i | ||||
\(87\) | 3.45019 | + | 0.794487i | 0.369899 | + | 0.0851779i | ||||
\(88\) | 1.84822 | − | 1.20129i | 0.197021 | − | 0.128058i | ||||
\(89\) | 10.1930 | + | 12.1475i | 1.08046 | + | 1.28764i | 0.955344 | + | 0.295495i | \(0.0954846\pi\) |
0.125112 | + | 0.992143i | \(0.460071\pi\) | |||||||
\(90\) | 6.22231 | + | 0.536476i | 0.655889 | + | 0.0565495i | ||||
\(91\) | 12.8167 | + | 4.66490i | 1.34356 | + | 0.489015i | ||||
\(92\) | −4.45058 | + | 1.79952i | −0.464005 | + | 0.187613i | ||||
\(93\) | −1.38064 | − | 11.1922i | −0.143166 | − | 1.16058i | ||||
\(94\) | −2.05750 | − | 3.42323i | −0.212215 | − | 0.353079i | ||||
\(95\) | 0.281587 | − | 6.41035i | 0.0288902 | − | 0.657688i | ||||
\(96\) | 9.70427 | + | 1.35173i | 0.990438 | + | 0.137960i | ||||
\(97\) | 0.436566 | − | 2.47589i | 0.0443266 | − | 0.251388i | −0.954590 | − | 0.297922i | \(-0.903706\pi\) |
0.998917 | + | 0.0465338i | \(0.0148175\pi\) | |||||||
\(98\) | 2.98656 | − | 18.8725i | 0.301688 | − | 1.90641i | ||||
\(99\) | −0.568183 | − | 2.26795i | −0.0571045 | − | 0.227937i | ||||
\(100\) | −0.787090 | + | 5.61119i | −0.0787090 | + | 0.561119i | ||||
\(101\) | −7.68054 | + | 6.44474i | −0.764242 | + | 0.641276i | −0.939227 | − | 0.343296i | \(-0.888457\pi\) |
0.174985 | + | 0.984571i | \(0.444012\pi\) | |||||||
\(102\) | −3.55233 | + | 16.7698i | −0.351733 | + | 1.66046i | ||||
\(103\) | −14.9501 | − | 8.63142i | −1.47307 | − | 0.850479i | −0.473532 | − | 0.880777i | \(-0.657021\pi\) |
−0.999541 | + | 0.0302978i | \(0.990354\pi\) | |||||||
\(104\) | 8.29903 | − | 1.91944i | 0.813786 | − | 0.188217i | ||||
\(105\) | −5.24813 | − | 10.2857i | −0.512165 | − | 1.00378i | ||||
\(106\) | −9.39870 | + | 0.165296i | −0.912882 | + | 0.0160550i | ||||
\(107\) | 10.3723 | − | 5.98847i | 1.00273 | − | 0.578927i | 0.0936759 | − | 0.995603i | \(-0.470138\pi\) |
0.909055 | + | 0.416676i | \(0.136805\pi\) | |||||||
\(108\) | 4.69987 | − | 9.26883i | 0.452246 | − | 0.891893i | ||||
\(109\) | 3.39045 | + | 9.31520i | 0.324747 | + | 0.892234i | 0.989417 | + | 0.145098i | \(0.0463496\pi\) |
−0.664671 | + | 0.747136i | \(0.731428\pi\) | |||||||
\(110\) | −1.59259 | + | 0.309786i | −0.151847 | + | 0.0295370i | ||||
\(111\) | 8.16722 | + | 3.46134i | 0.775198 | + | 0.328536i | ||||
\(112\) | −7.37702 | − | 16.5455i | −0.697063 | − | 1.56341i | ||||
\(113\) | 7.14511i | 0.672155i | 0.941834 | + | 0.336078i | \(0.109100\pi\) | ||||
−0.941834 | + | 0.336078i | \(0.890900\pi\) | |||||||
\(114\) | −9.71764 | − | 4.42352i | −0.910140 | − | 0.414301i | ||||
\(115\) | 3.53338 | 0.329490 | ||||||||
\(116\) | −3.22220 | − | 2.51609i | −0.299174 | − | 0.233613i | ||||
\(117\) | 0.934251 | − | 8.98638i | 0.0863715 | − | 0.830791i | ||||
\(118\) | −20.2594 | + | 3.94080i | −1.86503 | + | 0.362780i | ||||
\(119\) | 29.7826 | − | 10.8400i | 2.73017 | − | 0.993700i | ||||
\(120\) | −6.24885 | − | 3.59978i | −0.570439 | − | 0.328613i | ||||
\(121\) | −5.19631 | − | 9.00027i | −0.472392 | − | 0.818207i | ||||
\(122\) | −0.166174 | − | 9.44862i | −0.0150447 | − | 0.855437i | ||||
\(123\) | 2.06580 | + | 4.04870i | 0.186267 | + | 0.365059i | ||||
\(124\) | −4.02063 | + | 12.3853i | −0.361063 | + | 1.11224i | ||||
\(125\) | 5.76534 | − | 9.98586i | 0.515668 | − | 0.893162i | ||||
\(126\) | −19.1393 | + | 1.69879i | −1.70506 | + | 0.151340i | ||||
\(127\) | 8.25889 | + | 9.84257i | 0.732858 | + | 0.873386i | 0.995812 | − | 0.0914219i | \(-0.0291412\pi\) |
−0.262954 | + | 0.964808i | \(0.584697\pi\) | |||||||
\(128\) | −9.49417 | − | 6.15311i | −0.839174 | − | 0.543864i | ||||
\(129\) | 0.0327522 | − | 0.631772i | 0.00288367 | − | 0.0556245i | ||||
\(130\) | −6.19249 | − | 0.979956i | −0.543117 | − | 0.0859478i | ||||
\(131\) | −6.38338 | − | 1.12556i | −0.557719 | − | 0.0983409i | −0.112318 | − | 0.993672i | \(-0.535828\pi\) |
−0.445401 | + | 0.895331i | \(0.646939\pi\) | |||||||
\(132\) | −0.512937 | + | 2.65056i | −0.0446454 | + | 0.230701i | ||||
\(133\) | 2.57152 | + | 19.5728i | 0.222979 | + | 1.69718i | ||||
\(134\) | 5.47655 | + | 9.11179i | 0.473102 | + | 0.787139i | ||||
\(135\) | −5.76428 | + | 5.02797i | −0.496110 | + | 0.432739i | ||||
\(136\) | 11.9059 | − | 15.8127i | 1.02093 | − | 1.35593i | ||||
\(137\) | 2.01091 | − | 5.52493i | 0.171804 | − | 0.472027i | −0.823669 | − | 0.567070i | \(-0.808077\pi\) |
0.995473 | + | 0.0950435i | \(0.0302990\pi\) | |||||||
\(138\) | 2.19872 | − | 5.45294i | 0.187167 | − | 0.464185i | ||||
\(139\) | −12.3615 | + | 10.3725i | −1.04849 | + | 0.879783i | −0.992933 | − | 0.118672i | \(-0.962136\pi\) |
−0.0555516 | + | 0.998456i | \(0.517692\pi\) | |||||||
\(140\) | 0.468854 | + | 13.3253i | 0.0396254 | + | 1.12619i | ||||
\(141\) | 4.76684 | + | 1.09768i | 0.401440 | + | 0.0924412i | ||||
\(142\) | −6.30523 | + | 5.48251i | −0.529123 | + | 0.460082i | ||||
\(143\) | 0.407566 | + | 2.31142i | 0.0340824 | + | 0.193291i | ||||
\(144\) | −9.44387 | + | 7.40360i | −0.786989 | + | 0.616966i | ||||
\(145\) | 1.50451 | + | 2.60589i | 0.124943 | + | 0.216407i | ||||
\(146\) | 1.78968 | + | 0.615972i | 0.148115 | + | 0.0509782i | ||||
\(147\) | 14.0940 | + | 18.6814i | 1.16245 | + | 1.54082i | ||||
\(148\) | −6.85570 | − | 7.60998i | −0.563535 | − | 0.625537i | ||||
\(149\) | 8.14449 | + | 6.83404i | 0.667222 | + | 0.559866i | 0.912242 | − | 0.409652i | \(-0.134350\pi\) |
−0.245019 | + | 0.969518i | \(0.578794\pi\) | |||||||
\(150\) | −4.27622 | − | 5.46547i | −0.349152 | − | 0.446253i | ||||
\(151\) | − | 0.110330i | − | 0.00897852i | −0.999990 | − | 0.00448926i | \(-0.998571\pi\) | ||
0.999990 | − | 0.00448926i | \(-0.00142898\pi\) | |||||||
\(152\) | 8.00816 | + | 9.37387i | 0.649547 | + | 0.760321i | ||||
\(153\) | −11.7596 | − | 17.3920i | −0.950708 | − | 1.40606i | ||||
\(154\) | 4.65980 | − | 1.78944i | 0.375498 | − | 0.144197i | ||||
\(155\) | 6.16063 | − | 7.34196i | 0.494834 | − | 0.589720i | ||||
\(156\) | −5.36573 | + | 8.94685i | −0.429602 | + | 0.716321i | ||||
\(157\) | 4.26475 | + | 11.7173i | 0.340364 | + | 0.935142i | 0.985289 | + | 0.170896i | \(0.0546662\pi\) |
−0.644925 | + | 0.764246i | \(0.723112\pi\) | |||||||
\(158\) | −7.20720 | + | 20.9402i | −0.573374 | + | 1.66591i | ||||
\(159\) | 7.84695 | − | 8.42435i | 0.622304 | − | 0.668095i | ||||
\(160\) | 4.78078 | + | 6.81808i | 0.377954 | + | 0.539016i | ||||
\(161\) | −10.7056 | + | 1.88769i | −0.843721 | + | 0.148771i | ||||
\(162\) | 4.17256 | + | 12.0245i | 0.327827 | + | 0.944738i | ||||
\(163\) | −1.39649 | + | 2.41879i | −0.109381 | + | 0.189454i | −0.915520 | − | 0.402273i | \(-0.868220\pi\) |
0.806138 | + | 0.591727i | \(0.201554\pi\) | |||||||
\(164\) | −0.184553 | − | 5.24518i | −0.0144112 | − | 0.409580i | ||||
\(165\) | 1.08130 | − | 1.66711i | 0.0841788 | − | 0.129784i | ||||
\(166\) | 3.02803 | − | 3.74032i | 0.235021 | − | 0.290305i | ||||
\(167\) | −12.3186 | − | 4.48361i | −0.953244 | − | 0.346952i | −0.181861 | − | 0.983324i | \(-0.558212\pi\) |
−0.771382 | + | 0.636372i | \(0.780434\pi\) | |||||||
\(168\) | 20.8562 | + | 7.56837i | 1.60909 | + | 0.583912i | ||||
\(169\) | 0.682479 | − | 3.87053i | 0.0524984 | − | 0.297733i | ||||
\(170\) | −12.4869 | + | 7.50511i | −0.957699 | + | 0.575616i | ||||
\(171\) | 12.1626 | − | 4.80313i | 0.930101 | − | 0.367304i | ||||
\(172\) | −0.342773 | + | 0.645073i | −0.0261362 | + | 0.0491863i | ||||
\(173\) | −2.85482 | + | 16.1905i | −0.217048 | + | 1.23094i | 0.660268 | + | 0.751030i | \(0.270443\pi\) |
−0.877317 | + | 0.479912i | \(0.840669\pi\) | |||||||
\(174\) | 4.95778 | − | 0.700292i | 0.375848 | − | 0.0530890i | ||||
\(175\) | −4.38834 | + | 12.0569i | −0.331727 | + | 0.911414i | ||||
\(176\) | 1.83102 | − | 2.52298i | 0.138018 | − | 0.190177i | ||||
\(177\) | 13.7552 | − | 21.2074i | 1.03390 | − | 1.59404i | ||||
\(178\) | 19.6156 | + | 10.8697i | 1.47025 | + | 0.814718i | ||||
\(179\) | −10.6108 | − | 6.12613i | −0.793086 | − | 0.457888i | 0.0479621 | − | 0.998849i | \(-0.484727\pi\) |
−0.841048 | + | 0.540961i | \(0.818061\pi\) | |||||||
\(180\) | 8.48677 | − | 2.44634i | 0.632566 | − | 0.182339i | ||||
\(181\) | 2.48360 | − | 0.437926i | 0.184605 | − | 0.0325508i | −0.0805815 | − | 0.996748i | \(-0.525678\pi\) |
0.265186 | + | 0.964197i | \(0.414567\pi\) | |||||||
\(182\) | 19.2858 | − | 0.339183i | 1.42956 | − | 0.0251419i | ||||
\(183\) | 8.46909 | + | 7.88862i | 0.626053 | + | 0.583144i | ||||
\(184\) | −4.96340 | + | 4.63213i | −0.365907 | + | 0.341485i | ||||
\(185\) | 2.57845 | + | 7.08423i | 0.189571 | + | 0.520843i | ||||
\(186\) | −7.49701 | − | 14.0762i | −0.549707 | − | 1.03211i | ||||
\(187\) | 4.17800 | + | 3.50575i | 0.305525 | + | 0.256366i | ||||
\(188\) | −4.45186 | − | 3.47628i | −0.324685 | − | 0.253534i | ||||
\(189\) | 14.7787 | − | 18.3135i | 1.07499 | − | 1.33211i | ||||
\(190\) | −2.87818 | − | 8.60580i | −0.208805 | − | 0.624330i | ||||
\(191\) | 3.53097 | 0.255492 | 0.127746 | − | 0.991807i | \(-0.459226\pi\) | ||||
0.127746 | + | 0.991807i | \(0.459226\pi\) | |||||||
\(192\) | 13.4970 | − | 3.13533i | 0.974064 | − | 0.226273i | ||||
\(193\) | −2.83709 | − | 2.38060i | −0.204218 | − | 0.171360i | 0.534942 | − | 0.844888i | \(-0.320333\pi\) |
−0.739161 | + | 0.673529i | \(0.764778\pi\) | |||||||
\(194\) | −0.678873 | − | 3.49004i | −0.0487402 | − | 0.250570i | ||||
\(195\) | 6.12979 | − | 4.62456i | 0.438963 | − | 0.331171i | ||||
\(196\) | −5.62515 | − | 26.4299i | −0.401796 | − | 1.88785i | ||||
\(197\) | −3.59817 | − | 6.23221i | −0.256359 | − | 0.444026i | 0.708905 | − | 0.705304i | \(-0.249190\pi\) |
−0.965264 | + | 0.261278i | \(0.915856\pi\) | |||||||
\(198\) | −1.89993 | − | 2.70612i | −0.135022 | − | 0.192315i | ||||
\(199\) | 20.3950 | − | 3.59618i | 1.44576 | − | 0.254927i | 0.604954 | − | 0.796261i | \(-0.293192\pi\) |
0.840808 | + | 0.541334i | \(0.182081\pi\) | |||||||
\(200\) | 1.80565 | + | 7.80702i | 0.127679 | + | 0.552039i | ||||
\(201\) | −12.6882 | − | 2.92175i | −0.894954 | − | 0.206084i | ||||
\(202\) | −6.87259 | + | 12.4023i | −0.483554 | + | 0.872626i | ||||
\(203\) | −5.95061 | − | 7.09166i | −0.417651 | − | 0.497737i | ||||
\(204\) | 3.81218 | + | 23.9407i | 0.266906 | + | 1.67619i | ||||
\(205\) | −1.32122 | + | 3.63001i | −0.0922778 | + | 0.253531i | ||||
\(206\) | −24.1133 | − | 3.81590i | −1.68005 | − | 0.265867i | ||||
\(207\) | 2.93631 | + | 6.57507i | 0.204088 | + | 0.456999i | ||||
\(208\) | 9.98337 | − | 6.74155i | 0.692222 | − | 0.467442i | ||||
\(209\) | −2.69564 | + | 2.06730i | −0.186461 | + | 0.142998i | ||||
\(210\) | −12.1433 | − | 10.9186i | −0.837969 | − | 0.753454i | ||||
\(211\) | 3.42858 | − | 19.4445i | 0.236033 | − | 1.33861i | −0.604393 | − | 0.796686i | \(-0.706584\pi\) |
0.840426 | − | 0.541926i | \(-0.182305\pi\) | |||||||
\(212\) | −12.3245 | + | 4.98321i | −0.846450 | + | 0.342248i | ||||
\(213\) | 0.529802 | − | 10.2196i | 0.0363014 | − | 0.700235i | ||||
\(214\) | 10.6577 | − | 13.1647i | 0.728542 | − | 0.899918i | ||||
\(215\) | 0.411870 | − | 0.345600i | 0.0280893 | − | 0.0235697i | ||||
\(216\) | 1.50570 | − | 14.6196i | 0.102450 | − | 0.994738i | ||||
\(217\) | −14.7434 | + | 25.5363i | −1.00085 | + | 1.73352i | ||||
\(218\) | 9.19878 | + | 10.5792i | 0.623020 | + | 0.716511i | ||||
\(219\) | −2.06484 | + | 1.05356i | −0.139529 | + | 0.0711929i | ||||
\(220\) | −1.94550 | + | 1.21640i | −0.131166 | + | 0.0820097i | ||||
\(221\) | 10.5379 | + | 18.2521i | 0.708853 | + | 1.22777i | ||||
\(222\) | 12.5373 | + | 0.429070i | 0.841450 | + | 0.0287973i | ||||
\(223\) | 3.08611 | + | 8.47903i | 0.206662 | + | 0.567798i | 0.999112 | − | 0.0421387i | \(-0.0134171\pi\) |
−0.792450 | + | 0.609937i | \(0.791195\pi\) | |||||||
\(224\) | −18.1276 | − | 18.1036i | −1.21120 | − | 1.20960i | ||||
\(225\) | 8.45362 | + | 0.878864i | 0.563575 | + | 0.0585909i | ||||
\(226\) | 3.62245 | + | 9.43308i | 0.240962 | + | 0.627479i | ||||
\(227\) | 5.08237i | 0.337329i | 0.985674 | + | 0.168664i | \(0.0539454\pi\) | ||||
−0.985674 | + | 0.168664i | \(0.946055\pi\) | |||||||
\(228\) | −15.0720 | − | 0.913325i | −0.998169 | − | 0.0604865i | ||||
\(229\) | − | 26.2190i | − | 1.73260i | −0.499524 | − | 0.866300i | \(-0.666492\pi\) | ||
0.499524 | − | 0.866300i | \(-0.333508\pi\) | |||||||
\(230\) | 4.66483 | − | 1.79137i | 0.307590 | − | 0.118119i | ||||
\(231\) | −2.38552 | + | 5.62877i | −0.156956 | + | 0.370346i | ||||
\(232\) | −5.52962 | − | 1.68818i | −0.363037 | − | 0.110834i | ||||
\(233\) | −2.18872 | − | 6.01346i | −0.143388 | − | 0.393955i | 0.847122 | − | 0.531399i | \(-0.178333\pi\) |
−0.990510 | + | 0.137444i | \(0.956111\pi\) | |||||||
\(234\) | −3.32253 | − | 12.3376i | −0.217201 | − | 0.806534i | ||||
\(235\) | 2.07866 | + | 3.60034i | 0.135597 | + | 0.234860i | ||||
\(236\) | −24.7488 | + | 15.4739i | −1.61101 | + | 1.00726i | ||||
\(237\) | −12.3272 | − | 24.1598i | −0.800738 | − | 1.56935i | ||||
\(238\) | 33.8238 | − | 29.4104i | 2.19247 | − | 1.90639i | ||||
\(239\) | 1.28049 | − | 2.21787i | 0.0828281 | − | 0.143462i | −0.821636 | − | 0.570013i | \(-0.806938\pi\) |
0.904464 | + | 0.426551i | \(0.140271\pi\) | |||||||
\(240\) | −10.0749 | − | 1.58442i | −0.650329 | − | 0.102274i | ||||
\(241\) | 7.18930 | − | 6.03254i | 0.463104 | − | 0.388590i | −0.381168 | − | 0.924506i | \(-0.624478\pi\) |
0.844271 | + | 0.535916i | \(0.180034\pi\) | |||||||
\(242\) | −11.4232 | − | 9.24786i | −0.734313 | − | 0.594475i | ||||
\(243\) | −14.1465 | − | 6.54807i | −0.907497 | − | 0.420059i | ||||
\(244\) | −5.00967 | − | 12.3900i | −0.320712 | − | 0.793186i | ||||
\(245\) | −3.45366 | + | 19.5867i | −0.220646 | + | 1.25135i | ||||
\(246\) | 4.77992 | + | 4.29783i | 0.304756 | + | 0.274020i | ||||
\(247\) | −12.5208 | + | 3.94413i | −0.796677 | + | 0.250959i | ||||
\(248\) | 0.971069 | + | 18.3897i | 0.0616630 | + | 1.16775i | ||||
\(249\) | 0.721592 | + | 5.84960i | 0.0457290 | + | 0.370703i | ||||
\(250\) | 2.54883 | − | 16.1064i | 0.161202 | − | 1.01866i | ||||
\(251\) | 6.57104 | − | 18.0538i | 0.414760 | − | 1.13954i | −0.539870 | − | 0.841749i | \(-0.681526\pi\) |
0.954630 | − | 0.297795i | \(-0.0962513\pi\) | |||||||
\(252\) | −24.4067 | + | 11.9460i | −1.53748 | + | 0.752530i | ||||
\(253\) | −1.20244 | − | 1.43302i | −0.0755970 | − | 0.0900930i | ||||
\(254\) | 15.8935 | + | 8.80718i | 0.997249 | + | 0.552612i | ||||
\(255\) | 4.00399 | − | 17.3880i | 0.250740 | − | 1.08888i | ||||
\(256\) | −15.6539 | − | 3.31005i | −0.978367 | − | 0.206878i | ||||
\(257\) | 26.8702 | − | 4.73795i | 1.67612 | − | 0.295545i | 0.746862 | − | 0.664979i | \(-0.231559\pi\) |
0.929257 | + | 0.369434i | \(0.120448\pi\) | |||||||
\(258\) | −0.277058 | − | 0.850680i | −0.0172489 | − | 0.0529610i | ||||
\(259\) | −11.5970 | − | 20.0866i | −0.720604 | − | 1.24812i | ||||
\(260\) | −8.67224 | + | 1.84574i | −0.537829 | + | 0.114468i | ||||
\(261\) | −3.59887 | + | 4.96519i | −0.222764 | + | 0.307338i | ||||
\(262\) | −8.99808 | + | 1.75028i | −0.555903 | + | 0.108133i | ||||
\(263\) | −6.72819 | − | 5.64563i | −0.414878 | − | 0.348124i | 0.411332 | − | 0.911485i | \(-0.365064\pi\) |
−0.826211 | + | 0.563361i | \(0.809508\pi\) | |||||||
\(264\) | 0.666600 | + | 3.75935i | 0.0410264 | + | 0.231372i | ||||
\(265\) | 9.78461 | 0.601064 | ||||||||
\(266\) | 13.3181 | + | 24.5366i | 0.816582 | + | 1.50444i | ||||
\(267\) | −26.2613 | + | 8.04510i | −1.60717 | + | 0.492352i | ||||
\(268\) | 11.8498 | + | 9.25300i | 0.723839 | + | 0.565217i | ||||
\(269\) | 0.784327 | + | 0.658129i | 0.0478213 | + | 0.0401268i | 0.666385 | − | 0.745608i | \(-0.267841\pi\) |
−0.618564 | + | 0.785735i | \(0.712285\pi\) | |||||||
\(270\) | −5.06099 | + | 9.56039i | −0.308002 | + | 0.581827i | ||||
\(271\) | −5.71464 | − | 15.7008i | −0.347140 | − | 0.953759i | −0.983266 | − | 0.182174i | \(-0.941687\pi\) |
0.636127 | − | 0.771585i | \(-0.280536\pi\) | |||||||
\(272\) | 7.70161 | − | 26.9123i | 0.466979 | − | 1.63180i | ||||
\(273\) | −16.1017 | + | 17.2865i | −0.974519 | + | 1.04623i | ||||
\(274\) | −0.146213 | − | 8.31360i | −0.00883303 | − | 0.502243i | ||||
\(275\) | −2.17439 | + | 0.383404i | −0.131121 | + | 0.0231201i | ||||
\(276\) | 0.138227 | − | 8.31377i | 0.00832028 | − | 0.500430i | ||||
\(277\) | 8.62052 | + | 4.97706i | 0.517957 | + | 0.299043i | 0.736098 | − | 0.676875i | \(-0.236666\pi\) |
−0.218141 | + | 0.975917i | \(0.569999\pi\) | |||||||
\(278\) | −11.0611 | + | 19.9610i | −0.663401 | + | 1.19718i | ||||
\(279\) | 18.7818 | + | 5.36266i | 1.12444 | + | 0.321054i | ||||
\(280\) | 7.37470 | + | 17.3546i | 0.440723 | + | 1.03713i | ||||
\(281\) | 2.58049 | − | 7.08984i | 0.153939 | − | 0.422945i | −0.838619 | − | 0.544719i | \(-0.816636\pi\) |
0.992558 | + | 0.121775i | \(0.0388585\pi\) | |||||||
\(282\) | 6.84976 | − | 0.967536i | 0.407897 | − | 0.0576160i | ||||
\(283\) | −0.781735 | + | 4.43344i | −0.0464693 | + | 0.263540i | −0.999187 | − | 0.0403165i | \(-0.987163\pi\) |
0.952718 | + | 0.303857i | \(0.0982745\pi\) | |||||||
\(284\) | −5.54471 | + | 10.4347i | −0.329018 | + | 0.619188i | ||||
\(285\) | 10.0325 | + | 4.78159i | 0.594276 | + | 0.283237i | ||||
\(286\) | 1.70993 | + | 2.84495i | 0.101110 | + | 0.168225i | ||||
\(287\) | 2.06377 | − | 11.7042i | 0.121821 | − | 0.690880i | ||||
\(288\) | −8.71445 | + | 14.5622i | −0.513504 | + | 0.858087i | ||||
\(289\) | 30.0460 | + | 10.9359i | 1.76741 | + | 0.643286i | ||||
\(290\) | 3.30741 | + | 2.67757i | 0.194218 | + | 0.157232i | ||||
\(291\) | 3.65335 | + | 2.36958i | 0.214163 | + | 0.138907i | ||||
\(292\) | 2.67505 | − | 0.0941222i | 0.156545 | − | 0.00550808i | ||||
\(293\) | 10.7771 | − | 18.6665i | 0.629606 | − | 1.09051i | −0.358025 | − | 0.933712i | \(-0.616550\pi\) |
0.987631 | − | 0.156797i | \(-0.0501169\pi\) | |||||||
\(294\) | 28.0783 | + | 17.5181i | 1.63756 | + | 1.02168i | ||||
\(295\) | 21.1568 | − | 3.73052i | 1.23180 | − | 0.217199i | ||||
\(296\) | −12.9091 | − | 6.57109i | −0.750328 | − | 0.381937i | ||||
\(297\) | 4.00081 | + | 0.626723i | 0.232150 | + | 0.0363661i | ||||
\(298\) | 14.2172 | + | 4.89328i | 0.823581 | + | 0.283460i | ||||
\(299\) | −2.47239 | − | 6.79284i | −0.142982 | − | 0.392840i | ||||
\(300\) | −8.41643 | − | 5.04762i | −0.485923 | − | 0.291424i | ||||
\(301\) | −1.06327 | + | 1.26715i | −0.0612858 | + | 0.0730376i | ||||
\(302\) | −0.0559354 | − | 0.145659i | −0.00321872 | − | 0.00838175i | ||||
\(303\) | −5.08668 | − | 16.6043i | −0.292222 | − | 0.953890i | ||||
\(304\) | 15.3249 | + | 8.31552i | 0.878942 | + | 0.476928i | ||||
\(305\) | 9.83657i | 0.563240i | ||||||||
\(306\) | −24.3426 | − | 16.9992i | −1.39158 | − | 0.971780i | ||||
\(307\) | 9.91892 | + | 8.32296i | 0.566103 | + | 0.475017i | 0.880350 | − | 0.474325i | \(-0.157308\pi\) |
−0.314247 | + | 0.949341i | \(0.601752\pi\) | |||||||
\(308\) | 5.24473 | − | 4.72488i | 0.298846 | − | 0.269225i | ||||
\(309\) | 23.8691 | − | 18.0078i | 1.35787 | − | 1.02443i | ||||
\(310\) | 4.41111 | − | 12.8163i | 0.250534 | − | 0.727917i | ||||
\(311\) | 15.7772 | + | 27.3270i | 0.894644 | + | 1.54957i | 0.834244 | + | 0.551395i | \(0.185904\pi\) |
0.0604003 | + | 0.998174i | \(0.480762\pi\) | |||||||
\(312\) | −2.54801 | + | 14.5321i | −0.144253 | + | 0.822718i | ||||
\(313\) | 3.25294 | + | 18.4484i | 0.183867 | + | 1.04276i | 0.927402 | + | 0.374066i | \(0.122037\pi\) |
−0.743535 | + | 0.668697i | \(0.766852\pi\) | |||||||
\(314\) | 11.5709 | + | 13.3072i | 0.652981 | + | 0.750968i | ||||
\(315\) | 19.9500 | − | 1.41768i | 1.12406 | − | 0.0798770i | ||||
\(316\) | 1.10128 | + | 31.2995i | 0.0619518 | + | 1.76074i | ||||
\(317\) | 3.02944 | − | 2.54200i | 0.170150 | − | 0.142773i | −0.553736 | − | 0.832692i | \(-0.686798\pi\) |
0.723886 | + | 0.689919i | \(0.242354\pi\) | |||||||
\(318\) | 6.08866 | − | 15.1002i | 0.341435 | − | 0.846779i | ||||
\(319\) | 0.544857 | − | 1.49698i | 0.0305062 | − | 0.0838150i | ||||
\(320\) | 9.76831 | + | 6.57755i | 0.546065 | + | 0.367696i | ||||
\(321\) | 2.53976 | + | 20.5886i | 0.141756 | + | 1.14914i | ||||
\(322\) | −13.1767 | + | 7.91973i | −0.734308 | + | 0.441349i | ||||
\(323\) | −16.3968 | + | 25.7227i | −0.912341 | + | 1.43125i | ||||
\(324\) | 11.6049 | + | 13.7596i | 0.644717 | + | 0.764421i | ||||
\(325\) | −8.40244 | − | 1.48158i | −0.466083 | − | 0.0821831i | ||||
\(326\) | −0.617380 | + | 3.90132i | −0.0341935 | + | 0.216074i | ||||
\(327\) | −17.1468 | − | 0.888923i | −0.948222 | − | 0.0491575i | ||||
\(328\) | −2.90287 | − | 6.83120i | −0.160284 | − | 0.377190i | ||||
\(329\) | −8.22148 | − | 9.79797i | −0.453265 | − | 0.540180i | ||||
\(330\) | 0.582348 | − | 2.74914i | 0.0320572 | − | 0.151335i | ||||
\(331\) | 10.7723 | − | 18.6581i | 0.592098 | − | 1.02554i | −0.401851 | − | 0.915705i | \(-0.631633\pi\) |
0.993949 | − | 0.109839i | \(-0.0350336\pi\) | |||||||
\(332\) | 2.10138 | − | 6.47319i | 0.115328 | − | 0.355262i | ||||
\(333\) | −11.0399 | + | 10.6852i | −0.604983 | + | 0.585546i | ||||
\(334\) | −18.5363 | + | 0.326002i | −1.01426 | + | 0.0178380i | ||||
\(335\) | −5.53288 | − | 9.58322i | −0.302293 | − | 0.523587i | ||||
\(336\) | 31.3717 | − | 0.581887i | 1.71147 | − | 0.0317445i | ||||
\(337\) | −27.7675 | + | 10.1066i | −1.51259 | + | 0.550539i | −0.959286 | − | 0.282437i | \(-0.908857\pi\) |
−0.553308 | + | 0.832977i | \(0.686635\pi\) | |||||||
\(338\) | −1.06127 | − | 5.45594i | −0.0577257 | − | 0.296764i | ||||
\(339\) | −11.3946 | − | 4.82914i | −0.618870 | − | 0.262283i | ||||
\(340\) | −12.6804 | + | 16.2390i | −0.687691 | + | 0.880683i | ||||
\(341\) | −5.07416 | −0.274781 | ||||||||
\(342\) | 13.6222 | − | 12.5074i | 0.736604 | − | 0.676324i | ||||
\(343\) | − | 29.4874i | − | 1.59217i | ||||||
\(344\) | −0.125493 | + | 1.02542i | −0.00676612 | + | 0.0552867i | ||||
\(345\) | −2.38809 | + | 5.63484i | −0.128571 | + | 0.303370i | ||||
\(346\) | 4.43933 | + | 22.8223i | 0.238660 | + | 1.22693i | ||||
\(347\) | −1.35785 | − | 3.73066i | −0.0728932 | − | 0.200272i | 0.897895 | − | 0.440209i | \(-0.145096\pi\) |
−0.970789 | + | 0.239936i | \(0.922873\pi\) | |||||||
\(348\) | 6.19030 | − | 3.43805i | 0.331835 | − | 0.184299i | ||||
\(349\) | 9.78332 | − | 5.64840i | 0.523689 | − | 0.302352i | −0.214754 | − | 0.976668i | \(-0.568895\pi\) |
0.738443 | + | 0.674316i | \(0.235562\pi\) | |||||||
\(350\) | 0.319075 | + | 18.1425i | 0.0170553 | + | 0.969756i | ||||
\(351\) | 13.6995 | + | 7.56348i | 0.731227 | + | 0.403709i | ||||
\(352\) | 1.13823 | − | 4.25917i | 0.0606678 | − | 0.227015i | ||||
\(353\) | 15.3609 | + | 8.86865i | 0.817581 | + | 0.472030i | 0.849581 | − | 0.527457i | \(-0.176855\pi\) |
−0.0320008 | + | 0.999488i | \(0.510188\pi\) | |||||||
\(354\) | 7.40806 | − | 34.9719i | 0.393734 | − | 1.85874i | ||||
\(355\) | 6.66243 | − | 5.59045i | 0.353605 | − | 0.296710i | ||||
\(356\) | 31.4075 | + | 4.40558i | 1.66459 | + | 0.233495i | ||||
\(357\) | −2.84207 | + | 54.8220i | −0.150418 | + | 2.90149i | ||||
\(358\) | −17.1143 | − | 2.70833i | −0.904521 | − | 0.143140i | ||||
\(359\) | −4.54098 | + | 25.7532i | −0.239664 | + | 1.35920i | 0.592902 | + | 0.805274i | \(0.297982\pi\) |
−0.832566 | + | 0.553926i | \(0.813129\pi\) | |||||||
\(360\) | 9.96411 | − | 7.53234i | 0.525154 | − | 0.396989i | ||||
\(361\) | −13.4279 | − | 13.4422i | −0.706731 | − | 0.707482i | ||||
\(362\) | 3.05686 | − | 1.83730i | 0.160665 | − | 0.0965663i | ||||
\(363\) | 17.8651 | − | 2.20380i | 0.937676 | − | 0.115669i | ||||
\(364\) | 25.2895 | − | 10.2254i | 1.32553 | − | 0.535956i | ||||
\(365\) | −1.85131 | − | 0.673823i | −0.0969021 | − | 0.0352695i | ||||
\(366\) | 15.1804 | + | 6.12099i | 0.793493 | + | 0.319949i | ||||
\(367\) | 1.06048 | + | 1.26384i | 0.0553568 | + | 0.0659717i | 0.793012 | − | 0.609206i | \(-0.208512\pi\) |
−0.737656 | + | 0.675177i | \(0.764067\pi\) | |||||||
\(368\) | −4.20435 | + | 8.63176i | −0.219167 | + | 0.449962i | ||||
\(369\) | −7.85284 | + | 0.558033i | −0.408802 | + | 0.0290500i | ||||
\(370\) | 6.99569 | + | 8.04548i | 0.363689 | + | 0.418265i | ||||
\(371\) | −29.6459 | + | 5.22737i | −1.53914 | + | 0.271391i | ||||
\(372\) | −17.0340 | − | 14.7827i | −0.883173 | − | 0.766447i | ||||
\(373\) | −29.8409 | + | 17.2287i | −1.54510 | + | 0.892066i | −0.546599 | + | 0.837394i | \(0.684078\pi\) |
−0.998504 | + | 0.0546719i | \(0.982589\pi\) | |||||||
\(374\) | 7.29321 | + | 2.51018i | 0.377123 | + | 0.129798i | ||||
\(375\) | 12.0283 | + | 15.9433i | 0.621138 | + | 0.823310i | ||||
\(376\) | −7.63982 | − | 2.33242i | −0.393994 | − | 0.120285i | ||||
\(377\) | 3.95701 | − | 4.71578i | 0.203796 | − | 0.242875i | ||||
\(378\) | 10.2264 | − | 31.6703i | 0.525991 | − | 1.62895i | ||||
\(379\) | 1.76237 | 0.0905271 | 0.0452636 | − | 0.998975i | \(-0.485587\pi\) | ||||
0.0452636 | + | 0.998975i | \(0.485587\pi\) | |||||||
\(380\) | −8.16282 | − | 9.90231i | −0.418744 | − | 0.507978i | ||||
\(381\) | −21.2783 | + | 6.51856i | −1.09012 | + | 0.333956i | ||||
\(382\) | 4.66164 | − | 1.79014i | 0.238510 | − | 0.0915916i | ||||
\(383\) | 12.3911 | + | 10.3974i | 0.633156 | + | 0.531281i | 0.901908 | − | 0.431928i | \(-0.142167\pi\) |
−0.268752 | + | 0.963210i | \(0.586611\pi\) | |||||||
\(384\) | 16.2294 | − | 10.9821i | 0.828204 | − | 0.560427i | ||||
\(385\) | −4.88238 | + | 1.77704i | −0.248829 | + | 0.0905665i | ||||
\(386\) | −4.95250 | − | 1.70455i | −0.252076 | − | 0.0867594i | ||||
\(387\) | 0.985379 | + | 0.479225i | 0.0500896 | + | 0.0243604i | ||||
\(388\) | −2.66565 | − | 4.26342i | −0.135328 | − | 0.216443i | ||||
\(389\) | −4.78738 | − | 27.1506i | −0.242730 | − | 1.37659i | −0.825706 | − | 0.564101i | \(-0.809223\pi\) |
0.582976 | − | 0.812489i | \(-0.301888\pi\) | |||||||
\(390\) | 5.74807 | − | 9.21311i | 0.291065 | − | 0.466524i | ||||
\(391\) | −14.5473 | − | 8.39889i | −0.735688 | − | 0.424750i | ||||
\(392\) | −20.8259 | − | 32.0413i | −1.05187 | − | 1.61833i | ||||
\(393\) | 6.10929 | − | 9.41912i | 0.308173 | − | 0.475132i | ||||
\(394\) | −7.90998 | − | 6.40365i | −0.398499 | − | 0.322611i | ||||
\(395\) | 7.88408 | − | 21.6613i | 0.396691 | − | 1.08990i | ||||
\(396\) | −3.88028 | − | 2.60942i | −0.194991 | − | 0.131128i | ||||
\(397\) | −35.2581 | − | 6.21695i | −1.76955 | − | 0.312020i | −0.808522 | − | 0.588466i | \(-0.799732\pi\) |
−0.961029 | + | 0.276446i | \(0.910843\pi\) | |||||||
\(398\) | 25.1025 | − | 15.0876i | 1.25828 | − | 0.756275i | ||||
\(399\) | −32.9516 | − | 9.12768i | −1.64964 | − | 0.456956i | ||||
\(400\) | 6.34187 | + | 9.39151i | 0.317094 | + | 0.469575i | ||||
\(401\) | 16.0877 | + | 2.83669i | 0.803379 | + | 0.141657i | 0.560236 | − | 0.828333i | \(-0.310710\pi\) |
0.243143 | + | 0.969990i | \(0.421822\pi\) | |||||||
\(402\) | −18.2324 | + | 2.57535i | −0.909349 | + | 0.128447i | ||||
\(403\) | −18.4255 | − | 6.70632i | −0.917837 | − | 0.334065i | ||||
\(404\) | −2.78552 | + | 19.8581i | −0.138585 | + | 0.987975i | ||||
\(405\) | −4.12244 | − | 12.5908i | −0.204846 | − | 0.625640i | ||||
\(406\) | −11.4514 | − | 6.34566i | −0.568326 | − | 0.314930i | ||||
\(407\) | 1.99565 | − | 3.45656i | 0.0989205 | − | 0.171335i | ||||
\(408\) | 17.1704 | + | 29.6742i | 0.850064 | + | 1.46909i | ||||
\(409\) | 2.50225 | + | 14.1909i | 0.123728 | + | 0.701697i | 0.982055 | + | 0.188594i | \(0.0603930\pi\) |
−0.858327 | + | 0.513103i | \(0.828496\pi\) | |||||||
\(410\) | 0.0960652 | + | 5.46223i | 0.00474432 | + | 0.269761i | ||||
\(411\) | 7.45174 | + | 6.94100i | 0.367567 | + | 0.342374i | ||||
\(412\) | −33.7693 | + | 7.18721i | −1.66369 | + | 0.354088i | ||||
\(413\) | −62.1089 | + | 22.6058i | −3.05618 | + | 1.11236i | ||||
\(414\) | 7.21001 | + | 7.19185i | 0.354353 | + | 0.353460i | ||||
\(415\) | −3.21985 | + | 3.83727i | −0.158056 | + | 0.188364i | ||||
\(416\) | 9.76235 | − | 13.9617i | 0.478639 | − | 0.684528i | ||||
\(417\) | −8.18677 | − | 26.7238i | −0.400908 | − | 1.30867i | ||||
\(418\) | −2.51074 | + | 4.09593i | −0.122804 | + | 0.200338i | ||||
\(419\) | 33.5961i | 1.64128i | 0.571447 | + | 0.820639i | \(0.306382\pi\) | ||||
−0.571447 | + | 0.820639i | \(0.693618\pi\) | |||||||
\(420\) | −21.5673 | − | 8.25843i | −1.05238 | − | 0.402970i | ||||
\(421\) | 17.1058 | − | 20.3858i | 0.833684 | − | 0.993545i | −0.166289 | − | 0.986077i | \(-0.553178\pi\) |
0.999972 | − | 0.00746828i | \(-0.00237725\pi\) | |||||||
\(422\) | −5.33155 | − | 27.4091i | −0.259536 | − | 1.33425i | ||||
\(423\) | −4.97226 | + | 6.86000i | −0.241760 | + | 0.333545i | ||||
\(424\) | −13.7446 | + | 12.8272i | −0.667496 | + | 0.622945i | ||||
\(425\) | −17.1700 | + | 9.91311i | −0.832868 | + | 0.480857i | ||||
\(426\) | −4.48171 | − | 13.7607i | −0.217139 | − | 0.666706i | ||||
\(427\) | −5.25513 | − | 29.8033i | −0.254314 | − | 1.44228i | ||||
\(428\) | 7.39614 | − | 22.7834i | 0.357506 | − | 1.10128i | ||||
\(429\) | −3.96158 | − | 0.912249i | −0.191267 | − | 0.0440438i | ||||
\(430\) | 0.368544 | − | 0.665077i | 0.0177728 | − | 0.0320729i | ||||
\(431\) | −19.5027 | + | 16.3647i | −0.939410 | + | 0.788259i | −0.977483 | − | 0.211016i | \(-0.932323\pi\) |
0.0380726 | + | 0.999275i | \(0.487878\pi\) | |||||||
\(432\) | −5.42404 | − | 20.0644i | −0.260964 | − | 0.965348i | ||||
\(433\) | 6.48946 | + | 2.36197i | 0.311863 | + | 0.113509i | 0.493210 | − | 0.869910i | \(-0.335823\pi\) |
−0.181347 | + | 0.983419i | \(0.558046\pi\) | |||||||
\(434\) | −6.51797 | + | 41.1881i | −0.312873 | + | 1.97709i | ||||
\(435\) | −5.17256 | + | 0.638075i | −0.248005 | + | 0.0305933i | ||||
\(436\) | 17.5078 | + | 9.30314i | 0.838473 | + | 0.445540i | ||||
\(437\) | 7.07055 | − | 7.71204i | 0.338230 | − | 0.368917i | ||||
\(438\) | −2.19190 | + | 2.43776i | −0.104733 | + | 0.116481i | ||||
\(439\) | 30.5507 | + | 5.38691i | 1.45810 | + | 0.257103i | 0.845792 | − | 0.533513i | \(-0.179128\pi\) |
0.612312 | + | 0.790616i | \(0.290240\pi\) | |||||||
\(440\) | −1.95179 | + | 2.59225i | −0.0930479 | + | 0.123581i | ||||
\(441\) | −39.3177 | + | 9.85017i | −1.87227 | + | 0.469056i | ||||
\(442\) | 23.1657 | + | 18.7542i | 1.10188 | + | 0.892045i | ||||
\(443\) | 16.4763 | + | 19.6356i | 0.782810 | + | 0.932917i | 0.999057 | − | 0.0434217i | \(-0.0138259\pi\) |
−0.216246 | + | 0.976339i | \(0.569381\pi\) | |||||||
\(444\) | 16.7695 | − | 5.78975i | 0.795845 | − | 0.274769i | ||||
\(445\) | −20.2157 | − | 11.6715i | −0.958316 | − | 0.553284i | ||||
\(446\) | 8.37306 | + | 9.62954i | 0.396476 | + | 0.455972i | ||||
\(447\) | −16.4031 | + | 8.36947i | −0.775841 | + | 0.395862i | ||||
\(448\) | −33.1105 | − | 14.7103i | −1.56433 | − | 0.694998i | ||||
\(449\) | −3.93240 | + | 2.27037i | −0.185581 | + | 0.107145i | −0.589912 | − | 0.807467i | \(-0.700838\pi\) |
0.404331 | + | 0.914613i | \(0.367504\pi\) | |||||||
\(450\) | 11.6062 | − | 3.12555i | 0.547120 | − | 0.147340i | ||||
\(451\) | 1.92183 | − | 0.699489i | 0.0904954 | − | 0.0329376i | ||||
\(452\) | 9.56483 | + | 10.6172i | 0.449892 | + | 0.499390i | ||||
\(453\) | 0.175948 | + | 0.0745683i | 0.00826675 | + | 0.00350352i | ||||
\(454\) | 2.57668 | + | 6.70982i | 0.120929 | + | 0.314908i | ||||
\(455\) | −20.0777 | −0.941257 | ||||||||
\(456\) | −20.3614 | + | 6.43548i | −0.953508 | + | 0.301369i | ||||
\(457\) | 11.4634 | 0.536234 | 0.268117 | − | 0.963386i | \(-0.413599\pi\) | ||||
0.268117 | + | 0.963386i | \(0.413599\pi\) | |||||||
\(458\) | −13.2926 | − | 34.6147i | −0.621122 | − | 1.61744i | ||||
\(459\) | 35.6836 | − | 6.99892i | 1.66557 | − | 0.326682i | ||||
\(460\) | 5.25038 | − | 4.72998i | 0.244800 | − | 0.220536i | ||||
\(461\) | −28.7645 | + | 10.4694i | −1.33970 | + | 0.487610i | −0.909717 | − | 0.415228i | \(-0.863702\pi\) |
−0.429981 | + | 0.902838i | \(0.641480\pi\) | |||||||
\(462\) | −0.295711 | + | 8.64061i | −0.0137577 | + | 0.401997i | ||||
\(463\) | 26.6080 | − | 15.3622i | 1.23658 | − | 0.713940i | 0.268186 | − | 0.963367i | \(-0.413576\pi\) |
0.968394 | + | 0.249427i | \(0.0802424\pi\) | |||||||
\(464\) | −8.15616 | + | 0.574664i | −0.378640 | + | 0.0266781i | ||||
\(465\) | 7.54477 | + | 14.7868i | 0.349880 | + | 0.685722i | ||||
\(466\) | −5.93830 | − | 6.82941i | −0.275087 | − | 0.316367i | ||||
\(467\) | −17.5349 | − | 10.1238i | −0.811419 | − | 0.468473i | 0.0360293 | − | 0.999351i | \(-0.488529\pi\) |
−0.847448 | + | 0.530878i | \(0.821862\pi\) | |||||||
\(468\) | −10.6414 | − | 14.6038i | −0.491900 | − | 0.675062i | ||||
\(469\) | 21.8836 | + | 26.0798i | 1.01049 | + | 1.20425i | ||||
\(470\) | 4.56959 | + | 3.69938i | 0.210779 | + | 0.170640i | ||||
\(471\) | −21.5685 | − | 1.11815i | −0.993822 | − | 0.0515215i | ||||
\(472\) | −24.8288 | + | 32.9761i | −1.14284 | + | 1.51785i | ||||
\(473\) | −0.280327 | − | 0.0494291i | −0.0128894 | − | 0.00227275i | ||||
\(474\) | −28.5231 | − | 25.6464i | −1.31011 | − | 1.17798i | ||||
\(475\) | −3.71030 | − | 11.7785i | −0.170240 | − | 0.540433i | ||||
\(476\) | 29.7441 | − | 55.9761i | 1.36332 | − | 2.56566i | ||||
\(477\) | 8.13119 | + | 18.2076i | 0.372302 | + | 0.833669i | ||||
\(478\) | 0.566098 | − | 3.57726i | 0.0258927 | − | 0.163620i | ||||
\(479\) | 25.6004 | + | 9.31777i | 1.16971 | + | 0.425740i | 0.852557 | − | 0.522634i | \(-0.175051\pi\) |
0.317154 | + | 0.948374i | \(0.397273\pi\) | |||||||
\(480\) | −14.1042 | + | 3.01601i | −0.643768 | + | 0.137661i | ||||
\(481\) | 11.8150 | − | 9.91400i | 0.538720 | − | 0.452040i | ||||
\(482\) | 6.43303 | − | 11.6091i | 0.293017 | − | 0.528780i | ||||
\(483\) | 4.22519 | − | 18.3485i | 0.192253 | − | 0.834887i | ||||
\(484\) | −19.7696 | − | 6.41777i | −0.898620 | − | 0.291717i | ||||
\(485\) | 0.642648 | + | 3.64464i | 0.0291811 | + | 0.165495i | ||||
\(486\) | −21.9962 | − | 1.47283i | −0.997766 | − | 0.0668090i | ||||
\(487\) | −8.82502 | + | 5.09513i | −0.399900 | + | 0.230882i | −0.686441 | − | 0.727186i | \(-0.740828\pi\) |
0.286541 | + | 0.958068i | \(0.407495\pi\) | |||||||
\(488\) | −12.8953 | − | 13.8176i | −0.583745 | − | 0.625493i | ||||
\(489\) | −2.91351 | − | 3.86182i | −0.131753 | − | 0.174637i | ||||
\(490\) | 5.37054 | + | 27.6096i | 0.242616 | + | 1.24727i | ||||
\(491\) | 13.2079 | − | 15.7406i | 0.596064 | − | 0.710361i | −0.380695 | − | 0.924700i | \(-0.624315\pi\) |
0.976759 | + | 0.214339i | \(0.0687598\pi\) | |||||||
\(492\) | 8.48945 | + | 3.25073i | 0.382734 | + | 0.146554i | ||||
\(493\) | − | 14.3049i | − | 0.644261i | ||||||
\(494\) | −14.5305 | + | 11.5549i | −0.653758 | + | 0.519880i | ||||
\(495\) | 1.92780 | + | 2.85113i | 0.0866482 | + | 0.128149i | ||||
\(496\) | 10.6053 | + | 23.7861i | 0.476192 | + | 1.06803i | ||||
\(497\) | −17.1995 | + | 20.4976i | −0.771503 | + | 0.919442i | ||||
\(498\) | 3.91830 | + | 7.35689i | 0.175583 | + | 0.329670i | ||||
\(499\) | −16.4401 | + | 5.98371i | −0.735960 | + | 0.267868i | −0.682686 | − | 0.730712i | \(-0.739188\pi\) |
−0.0532747 | + | 0.998580i | \(0.516966\pi\) | |||||||
\(500\) | −4.80068 | − | 22.5561i | −0.214693 | − | 1.00874i | ||||
\(501\) | 15.4759 | − | 16.6147i | 0.691414 | − | 0.742291i | ||||
\(502\) | −0.477778 | − | 27.1663i | −0.0213243 | − | 1.21249i | ||||
\(503\) | −7.31597 | − | 41.4909i | −0.326203 | − | 1.84999i | −0.501082 | − | 0.865400i | \(-0.667064\pi\) |
0.174879 | − | 0.984590i | \(-0.444047\pi\) | |||||||
\(504\) | −26.1656 | + | 28.1451i | −1.16551 | + | 1.25368i | ||||
\(505\) | 7.37957 | − | 12.7818i | 0.328387 | − | 0.568782i | ||||
\(506\) | −2.31400 | − | 1.28227i | −0.102870 | − | 0.0570039i | ||||
\(507\) | 5.71124 | + | 3.70434i | 0.253645 | + | 0.164515i | ||||
\(508\) | 25.4480 | + | 3.56963i | 1.12907 | + | 0.158377i | ||||
\(509\) | 5.18539 | + | 1.88733i | 0.229838 | + | 0.0836544i | 0.454372 | − | 0.890812i | \(-0.349864\pi\) |
−0.224534 | + | 0.974466i | \(0.572086\pi\) | |||||||
\(510\) | −3.52927 | − | 24.9858i | −0.156279 | − | 1.10639i | ||||
\(511\) | 5.96918 | + | 1.05253i | 0.264061 | + | 0.0465611i | ||||
\(512\) | −22.3446 | + | 3.56627i | −0.987502 | + | 0.157608i | ||||
\(513\) | −0.560564 | + | 22.6426i | −0.0247495 | + | 0.999694i | ||||
\(514\) | 33.0724 | − | 19.8779i | 1.45876 | − | 0.876775i | ||||
\(515\) | 25.0257 | + | 4.41271i | 1.10277 | + | 0.194447i | ||||
\(516\) | −0.797057 | − | 0.982617i | −0.0350885 | − | 0.0432573i | ||||
\(517\) | 0.752785 | − | 2.06826i | 0.0331075 | − | 0.0909620i | ||||
\(518\) | −25.4941 | − | 20.6392i | −1.12015 | − | 0.906833i | ||||
\(519\) | −23.8902 | − | 15.4953i | −1.04866 | − | 0.680169i | ||||
\(520\) | −10.5135 | + | 6.83345i | −0.461046 | + | 0.299666i | ||||
\(521\) | 31.8798 | + | 18.4058i | 1.39668 | + | 0.806373i | 0.994043 | − | 0.108988i | \(-0.0347609\pi\) |
0.402635 | + | 0.915360i | \(0.368094\pi\) | |||||||
\(522\) | −2.23401 | + | 8.37969i | −0.0977799 | + | 0.366769i | ||||
\(523\) | −0.151153 | − | 0.857230i | −0.00660945 | − | 0.0374840i | 0.981325 | − | 0.192359i | \(-0.0616137\pi\) |
−0.987934 | + | 0.154875i | \(0.950503\pi\) | |||||||
\(524\) | −10.9920 | + | 6.87262i | −0.480189 | + | 0.300232i | ||||
\(525\) | −16.2617 | − | 15.1471i | −0.709718 | − | 0.661074i | ||||
\(526\) | −11.7449 | − | 4.04236i | −0.512102 | − | 0.176255i | ||||
\(527\) | −42.8158 | + | 15.5837i | −1.86509 | + | 0.678836i | ||||
\(528\) | 2.78598 | + | 4.62520i | 0.121244 | + | 0.201286i | ||||
\(529\) | −13.2055 | − | 11.0807i | −0.574151 | − | 0.481769i | ||||
\(530\) | 12.9178 | − | 4.96063i | 0.561113 | − | 0.215476i | ||||
\(531\) | 24.5236 | + | 36.2694i | 1.06423 | + | 1.57396i | ||||
\(532\) | 30.0223 | + | 25.6416i | 1.30163 | + | 1.11170i | ||||
\(533\) | 7.90309 | 0.342321 | ||||||||
\(534\) | −30.5919 | + | 23.9353i | −1.32384 | + | 1.03578i | ||||
\(535\) | −11.3328 | + | 13.5059i | −0.489959 | + | 0.583910i | ||||
\(536\) | 20.3353 | + | 6.20833i | 0.878353 | + | 0.268159i | ||||
\(537\) | 16.9411 | − | 12.7810i | 0.731060 | − | 0.551541i | ||||
\(538\) | 1.36914 | + | 0.471231i | 0.0590279 | + | 0.0203162i | ||||
\(539\) | 9.11898 | − | 5.26485i | 0.392782 | − | 0.226773i | ||||
\(540\) | −1.83463 | + | 15.1876i | −0.0789501 | + | 0.653571i | ||||
\(541\) | 10.2859 | − | 1.81368i | 0.442225 | − | 0.0779763i | 0.0518980 | − | 0.998652i | \(-0.483473\pi\) |
0.390327 | + | 0.920676i | \(0.372362\pi\) | |||||||
\(542\) | −15.5046 | − | 17.8313i | −0.665981 | − | 0.765919i | ||||
\(543\) | −0.980202 | + | 4.25668i | −0.0420645 | + | 0.182672i | ||||
\(544\) | −3.47633 | − | 39.4347i | −0.149046 | − | 1.69075i | ||||
\(545\) | −9.37987 | − | 11.1785i | −0.401790 | − | 0.478834i | ||||
\(546\) | −12.4937 | + | 30.9852i | −0.534683 | + | 1.32604i | ||||
\(547\) | −6.24777 | − | 2.27400i | −0.267135 | − | 0.0972293i | 0.204980 | − | 0.978766i | \(-0.434287\pi\) |
−0.472115 | + | 0.881537i | \(0.656509\pi\) | |||||||
\(548\) | −4.40789 | − | 10.9016i | −0.188296 | − | 0.465694i | ||||
\(549\) | −18.3043 | + | 8.17437i | −0.781208 | + | 0.348874i | ||||
\(550\) | −2.67628 | + | 1.60855i | −0.114117 | + | 0.0685890i | ||||
\(551\) | 8.69829 | + | 1.93079i | 0.370560 | + | 0.0822543i | ||||
\(552\) | −4.03245 | − | 11.0460i | −0.171633 | − | 0.470151i | ||||
\(553\) | −12.3151 | + | 69.8426i | −0.523693 | + | 2.97001i | ||||
\(554\) | 13.9042 | + | 2.20033i | 0.590734 | + | 0.0934831i | ||||
\(555\) | −13.0402 | − | 0.676028i | −0.553526 | − | 0.0286958i | ||||
\(556\) | −4.48316 | + | 31.9606i | −0.190128 | + | 1.35543i | ||||
\(557\) | 5.48953 | − | 4.60626i | 0.232599 | − | 0.195173i | −0.519037 | − | 0.854752i | \(-0.673709\pi\) |
0.751636 | + | 0.659578i | \(0.229265\pi\) | |||||||
\(558\) | 27.5148 | − | 2.44220i | 1.16480 | − | 0.103387i | ||||
\(559\) | −0.952602 | − | 0.549985i | −0.0402908 | − | 0.0232619i | ||||
\(560\) | 18.5347 | + | 19.1729i | 0.783233 | + | 0.810204i | ||||
\(561\) | −8.41454 | + | 4.29341i | −0.355262 | + | 0.181268i | ||||
\(562\) | −0.187627 | − | 10.6684i | −0.00791455 | − | 0.450019i | ||||
\(563\) | 17.6840 | − | 10.2099i | 0.745292 | − | 0.430294i | −0.0786984 | − | 0.996898i | \(-0.525076\pi\) |
0.823990 | + | 0.566604i | \(0.191743\pi\) | |||||||
\(564\) | 8.55263 | − | 4.75007i | 0.360131 | − | 0.200014i | ||||
\(565\) | −3.59736 | − | 9.88366i | −0.151342 | − | 0.415809i | ||||
\(566\) | 1.21562 | + | 6.24942i | 0.0510963 | + | 0.262683i | ||||
\(567\) | 19.2169 | + | 35.9457i | 0.807035 | + | 1.50958i | ||||
\(568\) | −2.02998 | + | 16.5872i | −0.0851760 | + | 0.695982i | ||||
\(569\) | − | 21.4277i | − | 0.898297i | −0.893457 | − | 0.449148i | \(-0.851727\pi\) | ||
0.893457 | − | 0.449148i | \(-0.148273\pi\) | |||||||
\(570\) | 15.6693 | + | 1.22640i | 0.656315 | + | 0.0513684i | ||||
\(571\) | 17.1460 | 0.717539 | 0.358769 | − | 0.933426i | \(-0.383196\pi\) | ||||
0.358769 | + | 0.933426i | \(0.383196\pi\) | |||||||
\(572\) | 3.69981 | + | 2.88904i | 0.154697 | + | 0.120797i | ||||
\(573\) | −2.38646 | + | 5.63099i | −0.0996959 | + | 0.235238i | ||||
\(574\) | −3.20923 | − | 16.4984i | −0.133951 | − | 0.688631i | ||||
\(575\) | 6.39012 | − | 2.32581i | 0.266487 | − | 0.0969932i | ||||
\(576\) | −4.12214 | + | 23.6433i | −0.171756 | + | 0.985140i | ||||
\(577\) | −12.7105 | − | 22.0152i | −0.529143 | − | 0.916503i | −0.999422 | − | 0.0339852i | \(-0.989180\pi\) |
0.470279 | − | 0.882518i | \(-0.344153\pi\) | |||||||
\(578\) | 45.2115 | − | 0.795142i | 1.88055 | − | 0.0330735i | ||||
\(579\) | 5.71395 | − | 2.91546i | 0.237464 | − | 0.121163i | ||||
\(580\) | 5.72398 | + | 1.85816i | 0.237675 | + | 0.0771560i | ||||
\(581\) | 7.70562 | − | 13.3465i | 0.319683 | − | 0.553707i | ||||
\(582\) | 6.02454 | + | 1.27617i | 0.249725 | + | 0.0528990i | ||||
\(583\) | −3.32979 | − | 3.96829i | −0.137906 | − | 0.164350i | ||||
\(584\) | 3.48392 | − | 1.48047i | 0.144166 | − | 0.0612621i | ||||
\(585\) | 3.23206 | + | 12.9010i | 0.133629 | + | 0.533392i | ||||
\(586\) | 4.76450 | − | 30.1076i | 0.196820 | − | 1.24373i | ||||
\(587\) | −2.07858 | − | 0.366509i | −0.0857920 | − | 0.0151274i | 0.130587 | − | 0.991437i | \(-0.458314\pi\) |
−0.216379 | + | 0.976309i | \(0.569425\pi\) | |||||||
\(588\) | 45.9508 | + | 8.89242i | 1.89498 | + | 0.366717i | ||||
\(589\) | −3.69685 | − | 28.1381i | −0.152326 | − | 1.15941i | ||||
\(590\) | 26.0402 | − | 15.6512i | 1.07206 | − | 0.644351i | ||||
\(591\) | 12.3706 | − | 1.52601i | 0.508860 | − | 0.0627718i | ||||
\(592\) | −20.3743 | − | 2.13054i | −0.837377 | − | 0.0875647i | ||||
\(593\) | −11.0522 | + | 30.3658i | −0.453861 | + | 1.24697i | 0.476125 | + | 0.879378i | \(0.342041\pi\) |
−0.929986 | + | 0.367595i | \(0.880181\pi\) | |||||||
\(594\) | 5.59966 | − | 1.20093i | 0.229757 | − | 0.0492749i | ||||
\(595\) | −35.7400 | + | 29.9894i | −1.46520 | + | 1.22945i | ||||
\(596\) | 21.2506 | − | 0.747707i | 0.870458 | − | 0.0306273i | ||||
\(597\) | −8.04928 | + | 34.9553i | −0.329435 | + | 1.43062i | ||||
\(598\) | −6.70794 | − | 7.71455i | −0.274308 | − | 0.315471i | ||||
\(599\) | −5.13441 | − | 29.1187i | −0.209786 | − | 1.18976i | −0.889728 | − | 0.456492i | \(-0.849106\pi\) |
0.679941 | − | 0.733267i | \(-0.262005\pi\) | |||||||
\(600\) | −13.6706 | − | 2.39695i | −0.558098 | − | 0.0978551i | ||||
\(601\) | −6.55642 | − | 11.3561i | −0.267442 | − | 0.463223i | 0.700759 | − | 0.713398i | \(-0.252845\pi\) |
−0.968201 | + | 0.250176i | \(0.919512\pi\) | |||||||
\(602\) | −0.761318 | + | 2.21198i | −0.0310290 | + | 0.0901534i | ||||
\(603\) | 13.2349 | − | 18.2596i | 0.538968 | − | 0.743590i | ||||
\(604\) | −0.147694 | − | 0.163943i | −0.00600957 | − | 0.00667076i | ||||
\(605\) | 11.7193 | + | 9.83368i | 0.476458 | + | 0.399796i | ||||
\(606\) | −15.1336 | − | 19.3423i | −0.614761 | − | 0.785729i | ||||
\(607\) | 8.94495i | 0.363064i | 0.983385 | + | 0.181532i | \(0.0581057\pi\) | ||||
−0.983385 | + | 0.181532i | \(0.941894\pi\) | |||||||
\(608\) | 24.4480 | + | 3.20882i | 0.991496 | + | 0.130135i | ||||
\(609\) | 15.3312 | − | 4.69668i | 0.621251 | − | 0.190319i | ||||
\(610\) | 4.98698 | + | 12.9864i | 0.201917 | + | 0.525803i | ||||
\(611\) | 5.46707 | − | 6.51540i | 0.221174 | − | 0.263585i | ||||
\(612\) | −40.7558 | − | 10.1013i | −1.64746 | − | 0.408320i | ||||
\(613\) | −7.25811 | − | 19.9415i | −0.293152 | − | 0.805429i | −0.995601 | − | 0.0936946i | \(-0.970132\pi\) |
0.702449 | − | 0.711734i | \(-0.252090\pi\) | |||||||
\(614\) | 17.3147 | + | 5.95938i | 0.698765 | + | 0.240501i | ||||
\(615\) | −4.89597 | − | 4.56040i | −0.197425 | − | 0.183893i | ||||
\(616\) | 4.52873 | − | 8.89685i | 0.182468 | − | 0.358464i | ||||
\(617\) | −31.6906 | + | 5.58791i | −1.27582 | + | 0.224961i | −0.770203 | − | 0.637799i | \(-0.779845\pi\) |
−0.505614 | + | 0.862760i | \(0.668734\pi\) | |||||||
\(618\) | 22.3827 | − | 35.8754i | 0.900365 | − | 1.44312i | ||||
\(619\) | −11.3746 | + | 19.7014i | −0.457184 | + | 0.791866i | −0.998811 | − | 0.0487529i | \(-0.984475\pi\) |
0.541627 | + | 0.840619i | \(0.317809\pi\) | |||||||
\(620\) | −0.674030 | − | 19.1566i | −0.0270697 | − | 0.769349i | ||||
\(621\) | −12.4701 | + | 0.238790i | −0.500408 | + | 0.00958231i | ||||
\(622\) | 34.6836 | + | 28.0787i | 1.39069 | + | 1.12585i | ||||
\(623\) | 67.4859 | + | 24.5629i | 2.70377 | + | 0.984091i | ||||
\(624\) | 4.00361 | + | 20.4773i | 0.160273 | + | 0.819748i | ||||
\(625\) | −0.487684 | + | 2.76579i | −0.0195074 | + | 0.110632i | ||||
\(626\) | 13.6476 | + | 22.7066i | 0.545468 | + | 0.907539i | ||||
\(627\) | −1.47492 | − | 5.69607i | −0.0589027 | − | 0.227479i | ||||
\(628\) | 22.0225 | + | 11.7021i | 0.878795 | + | 0.466966i | ||||
\(629\) | 6.22355 | − | 35.2955i | 0.248149 | − | 1.40732i | ||||
\(630\) | 25.6196 | − | 11.9860i | 1.02071 | − | 0.477532i | ||||
\(631\) | −1.86340 | + | 5.11965i | −0.0741808 | + | 0.203810i | −0.971241 | − | 0.238098i | \(-0.923476\pi\) |
0.897060 | + | 0.441908i | \(0.145698\pi\) | |||||||
\(632\) | 17.3223 | + | 40.7638i | 0.689042 | + | 1.62150i | ||||
\(633\) | 28.6917 | + | 18.6096i | 1.14039 | + | 0.739664i | ||||
\(634\) | 2.71076 | − | 4.89186i | 0.107658 | − | 0.194281i | ||||
\(635\) | −16.3798 | − | 9.45688i | −0.650012 | − | 0.375285i | ||||
\(636\) | 0.382776 | − | 23.0224i | 0.0151781 | − | 0.912897i | ||||
\(637\) | 40.0715 | − | 7.06568i | 1.58769 | − | 0.279952i | ||||
\(638\) | −0.0396164 | − | 2.25257i | −0.00156843 | − | 0.0891803i | ||||
\(639\) | 15.9395 | + | 7.75197i | 0.630559 | + | 0.306663i | ||||
\(640\) | 16.2310 | + | 3.73142i | 0.641586 | + | 0.147497i | ||||
\(641\) | 3.10143 | + | 8.52111i | 0.122499 | + | 0.336564i | 0.985751 | − | 0.168209i | \(-0.0537984\pi\) |
−0.863252 | + | 0.504773i | \(0.831576\pi\) | |||||||
\(642\) | 13.7911 | + | 25.8938i | 0.544292 | + | 1.02195i | ||||
\(643\) | 0.680574 | + | 0.571069i | 0.0268392 | + | 0.0225208i | 0.656109 | − | 0.754667i | \(-0.272201\pi\) |
−0.629269 | + | 0.777187i | \(0.716646\pi\) | |||||||
\(644\) | −13.3809 | + | 17.1361i | −0.527282 | + | 0.675257i | ||||
\(645\) | 0.272774 | + | 0.890406i | 0.0107405 | + | 0.0350597i | ||||
\(646\) | −8.60629 | + | 42.2724i | −0.338610 | + | 1.66319i | ||||
\(647\) | −24.7385 | −0.972571 | −0.486285 | − | 0.873800i | \(-0.661648\pi\) | ||||
−0.486285 | + | 0.873800i | \(0.661648\pi\) | |||||||
\(648\) | 22.2969 | + | 12.2821i | 0.875903 | + | 0.482487i | ||||
\(649\) | −8.71283 | − | 7.31094i | −0.342009 | − | 0.286979i | ||||
\(650\) | −11.8442 | + | 2.30389i | −0.464566 | + | 0.0903662i | ||||
\(651\) | −30.7593 | − | 40.7710i | −1.20555 | − | 1.59794i | ||||
\(652\) | 1.16283 | + | 5.46358i | 0.0455398 | + | 0.213970i | ||||
\(653\) | 1.58553 | + | 2.74622i | 0.0620466 | + | 0.107468i | 0.895380 | − | 0.445303i | \(-0.146904\pi\) |
−0.833334 | + | 0.552771i | \(0.813571\pi\) | |||||||
\(654\) | −23.0882 | + | 7.51959i | −0.902819 | + | 0.294039i | ||||
\(655\) | 9.39667 | − | 1.65689i | 0.367158 | − | 0.0647399i | ||||
\(656\) | −7.29571 | − | 7.54695i | −0.284850 | − | 0.294659i | ||||
\(657\) | −0.284598 | − | 4.00496i | −0.0111032 | − | 0.156248i | ||||
\(658\) | −15.8215 | − | 8.76728i | −0.616787 | − | 0.341784i | ||||
\(659\) | 2.03309 | + | 2.42294i | 0.0791980 | + | 0.0943845i | 0.804188 | − | 0.594374i | \(-0.202600\pi\) |
−0.724990 | + | 0.688759i | \(0.758156\pi\) | |||||||
\(660\) | −0.624946 | − | 3.92470i | −0.0243260 | − | 0.152769i | ||||
\(661\) | −0.186308 | + | 0.511876i | −0.00724653 | + | 0.0199097i | −0.943263 | − | 0.332046i | \(-0.892261\pi\) |
0.936017 | + | 0.351956i | \(0.114483\pi\) | |||||||
\(662\) | 4.76237 | − | 30.0941i | 0.185095 | − | 1.16964i | ||||
\(663\) | −36.2296 | + | 4.46919i | −1.40704 | + | 0.173569i | ||||
\(664\) | −0.507529 | − | 9.61137i | −0.0196959 | − | 0.372993i | ||||
\(665\) | −13.4115 | − | 25.7799i | −0.520075 | − | 0.999703i | ||||
\(666\) | −9.15781 | + | 19.7038i | −0.354858 | + | 0.763508i | ||||
\(667\) | −0.851999 | + | 4.83193i | −0.0329895 | + | 0.187093i | ||||
\(668\) | −24.3067 | + | 9.82801i | −0.940454 | + | 0.380257i | ||||
\(669\) | −15.6077 | − | 0.809130i | −0.603428 | − | 0.0312828i | ||||
\(670\) | −12.1631 | − | 9.84684i | −0.469902 | − | 0.380417i | ||||
\(671\) | 3.98937 | − | 3.34748i | 0.154008 | − | 0.129228i | ||||
\(672\) | 41.1225 | − | 16.6732i | 1.58633 | − | 0.643181i | ||||
\(673\) | 14.9014 | − | 25.8101i | 0.574408 | − | 0.994905i | −0.421697 | − | 0.906737i | \(-0.638565\pi\) |
0.996106 | − | 0.0881678i | \(-0.0281012\pi\) | |||||||
\(674\) | −31.5353 | + | 27.4205i | −1.21469 | + | 1.05620i | ||||
\(675\) | −7.11508 | + | 12.8874i | −0.273859 | + | 0.496035i | ||||
\(676\) | −4.16718 | − | 6.66496i | −0.160276 | − | 0.256345i | ||||
\(677\) | 17.9769 | + | 31.1369i | 0.690907 | + | 1.19669i | 0.971541 | + | 0.236872i | \(0.0761222\pi\) |
−0.280633 | + | 0.959815i | \(0.590545\pi\) | |||||||
\(678\) | −17.4916 | − | 0.598623i | −0.671762 | − | 0.0229900i | ||||
\(679\) | −3.89425 | − | 10.6994i | −0.149448 | − | 0.410604i | ||||
\(680\) | −8.50794 | + | 27.8677i | −0.326265 | + | 1.06868i | ||||
\(681\) | −8.10508 | − | 3.43500i | −0.310587 | − | 0.131630i | ||||
\(682\) | −6.69899 | + | 2.57252i | −0.256517 | + | 0.0985067i | ||||
\(683\) | − | 18.4184i | − | 0.704761i | −0.935857 | − | 0.352380i | \(-0.885372\pi\) | ||
0.935857 | − | 0.352380i | \(-0.114628\pi\) | |||||||
\(684\) | 11.6432 | − | 23.4187i | 0.445188 | − | 0.895437i | ||||
\(685\) | 8.65495i | 0.330689i | ||||||||
\(686\) | −14.9496 | − | 38.9297i | −0.570779 | − | 1.48634i | ||||
\(687\) | 41.8126 | + | 17.7205i | 1.59525 | + | 0.676080i | ||||
\(688\) | 0.354191 | + | 1.41739i | 0.0135034 | + | 0.0540375i | ||||
\(689\) | −6.84652 | − | 18.8106i | −0.260831 | − | 0.716629i | ||||
\(690\) | −0.296030 | + | 8.64992i | −0.0112697 | + | 0.329297i | ||||
\(691\) | 1.20204 | + | 2.08199i | 0.0457276 | + | 0.0792025i | 0.887983 | − | 0.459876i | \(-0.152106\pi\) |
−0.842256 | + | 0.539078i | \(0.818773\pi\) | |||||||
\(692\) | 17.4314 | + | 27.8797i | 0.662642 | + | 1.05983i | ||||
\(693\) | −7.36415 | − | 7.60859i | −0.279741 | − | 0.289026i | ||||
\(694\) | −3.68404 | − | 4.23687i | −0.139844 | − | 0.160829i | ||||
\(695\) | 11.8771 | − | 20.5717i | 0.450523 | − | 0.780328i | ||||
\(696\) | 6.42949 | − | 7.67734i | 0.243709 | − | 0.291009i | ||||
\(697\) | 14.0682 | − | 11.8046i | 0.532869 | − | 0.447131i | ||||
\(698\) | 10.0524 | − | 12.4171i | 0.380491 | − | 0.469994i | ||||
\(699\) | 11.0692 | + | 0.573847i | 0.418676 | + | 0.0217049i | ||||
\(700\) | 9.61918 | + | 23.7902i | 0.363571 | + | 0.899185i | ||||
\(701\) | 0.496434 | − | 2.81541i | 0.0187500 | − | 0.106337i | −0.973996 | − | 0.226563i | \(-0.927251\pi\) |
0.992746 | + | 0.120227i | \(0.0383621\pi\) | |||||||
\(702\) | 21.9209 | + | 3.03999i | 0.827351 | + | 0.114737i | ||||
\(703\) | 20.6219 | + | 8.54827i | 0.777768 | + | 0.322404i | ||||
\(704\) | −0.656623 | − | 6.20009i | −0.0247474 | − | 0.233675i | ||||
\(705\) | −7.14651 | + | 0.881576i | −0.269153 | + | 0.0332021i | ||||
\(706\) | 24.7760 | + | 3.92078i | 0.932457 | + | 0.147561i | ||||
\(707\) | −15.5304 | + | 42.6694i | −0.584080 | + | 1.60475i | ||||
\(708\) | −7.94995 | − | 49.9262i | −0.298777 | − | 1.87634i | ||||
\(709\) | 14.8741 | + | 17.7263i | 0.558609 | + | 0.665724i | 0.969252 | − | 0.246072i | \(-0.0791400\pi\) |
−0.410642 | + | 0.911796i | \(0.634696\pi\) | |||||||
\(710\) | 5.96159 | − | 10.7583i | 0.223734 | − | 0.403753i | ||||
\(711\) | 46.8602 | − | 3.32994i | 1.75739 | − | 0.124883i | ||||
\(712\) | 43.6982 | − | 10.1068i | 1.63766 | − | 0.378767i | ||||
\(713\) | 15.3905 | − | 2.71376i | 0.576380 | − | 0.101631i | ||||
\(714\) | 24.0417 | + | 73.8177i | 0.899737 | + | 2.76256i | ||||
\(715\) | −1.72751 | − | 2.99214i | −0.0646053 | − | 0.111900i | ||||
\(716\) | −23.9677 | + | 5.10110i | −0.895714 | + | 0.190637i | ||||
\(717\) | 2.67150 | + | 3.54104i | 0.0997690 | + | 0.132243i | ||||
\(718\) | 7.06135 | + | 36.3019i | 0.263527 | + | 1.35478i | ||||
\(719\) | −31.3315 | − | 26.2902i | −1.16847 | − | 0.980460i | −0.168480 | − | 0.985705i | \(-0.553886\pi\) |
−0.999986 | + | 0.00524549i | \(0.998330\pi\) | |||||||
\(720\) | 9.33599 | − | 14.9959i | 0.347932 | − | 0.558866i | ||||
\(721\) | −78.1817 | −2.91164 | ||||||||
\(722\) | −24.5427 | − | 10.9388i | −0.913383 | − | 0.407101i | ||||
\(723\) | 4.76135 | + | 15.5423i | 0.177076 | + | 0.578024i | ||||
\(724\) | 3.10424 | − | 3.97541i | 0.115368 | − | 0.147745i | ||||
\(725\) | 4.43620 | + | 3.72241i | 0.164756 | + | 0.138247i | ||||
\(726\) | 22.4685 | − | 11.9668i | 0.833885 | − | 0.444130i | ||||
\(727\) | 0.992714 | + | 2.72746i | 0.0368177 | + | 0.101156i | 0.956739 | − | 0.290946i | \(-0.0939701\pi\) |
−0.919922 | + | 0.392102i | \(0.871748\pi\) | |||||||
\(728\) | 28.2035 | − | 26.3211i | 1.04529 | − | 0.975524i | ||||
\(729\) | 20.0036 | − | 18.1344i | 0.740874 | − | 0.671644i | ||||
\(730\) | −2.78575 | + | 0.0489934i | −0.103105 | + | 0.00181333i | ||||
\(731\) | −2.51720 | + | 0.443851i | −0.0931022 | + | 0.0164164i | ||||
\(732\) | 23.1447 | + | 0.384809i | 0.855451 | + | 0.0142230i | ||||
\(733\) | 7.80127 | + | 4.50407i | 0.288147 | + | 0.166362i | 0.637106 | − | 0.770776i | \(-0.280131\pi\) |
−0.348959 | + | 0.937138i | \(0.613465\pi\) | |||||||
\(734\) | 2.04081 | + | 1.13089i | 0.0753277 | + | 0.0417418i | ||||
\(735\) | −28.9015 | − | 18.7457i | −1.06605 | − | 0.691444i | ||||
\(736\) | −1.17449 | + | 13.5273i | −0.0432922 | + | 0.498624i | ||||
\(737\) | −2.00373 | + | 5.50520i | −0.0738084 | + | 0.202787i | ||||
\(738\) | −10.0845 | + | 4.71798i | −0.371216 | + | 0.173671i | ||||
\(739\) | 7.66528 | − | 43.4719i | 0.281972 | − | 1.59914i | −0.433934 | − | 0.900945i | \(-0.642875\pi\) |
0.715906 | − | 0.698197i | \(-0.246014\pi\) | |||||||
\(740\) | 13.3147 | + | 7.07506i | 0.489460 | + | 0.260085i | ||||
\(741\) | 2.17249 | − | 22.6331i | 0.0798084 | − | 0.831447i | ||||
\(742\) | −36.4887 | + | 21.9312i | −1.33954 | + | 0.805120i | ||||
\(743\) | 0.0629646 | − | 0.357090i | 0.00230995 | − | 0.0131004i | −0.983631 | − | 0.180195i | \(-0.942327\pi\) |
0.985941 | + | 0.167094i | \(0.0534384\pi\) | |||||||
\(744\) | −29.9832 | − | 10.8804i | −1.09924 | − | 0.398894i | ||||
\(745\) | −14.7068 | − | 5.35285i | −0.538816 | − | 0.196113i | ||||
\(746\) | −30.6618 | + | 37.8744i | −1.12261 | + | 1.38668i | ||||
\(747\) | −9.81630 | − | 2.80279i | −0.359160 | − | 0.102549i | ||||
\(748\) | 10.9012 | − | 0.383562i | 0.398588 | − | 0.0140244i | ||||
\(749\) | 27.1212 | − | 46.9753i | 0.990986 | − | 1.71644i | ||||
\(750\) | 23.9629 | + | 14.9505i | 0.875002 | + | 0.545915i | ||||
\(751\) | 4.56350 | − | 0.804668i | 0.166524 | − | 0.0293628i | −0.0897642 | − | 0.995963i | \(-0.528611\pi\) |
0.256289 | + | 0.966600i | \(0.417500\pi\) | |||||||
\(752\) | −11.2687 | + | 0.793967i | −0.410928 | + | 0.0289530i | ||||
\(753\) | 24.3500 | + | 22.6810i | 0.887363 | + | 0.826543i | ||||
\(754\) | 2.83328 | − | 8.23197i | 0.103182 | − | 0.299791i | ||||
\(755\) | 0.0555480 | + | 0.152617i | 0.00202160 | + | 0.00555430i | ||||
\(756\) | −2.55523 | − | 46.9963i | −0.0929328 | − | 1.70924i | ||||
\(757\) | −4.28010 | + | 5.10082i | −0.155563 | + | 0.185393i | −0.838197 | − | 0.545368i | \(-0.816390\pi\) |
0.682634 | + | 0.730760i | \(0.260834\pi\) | |||||||
\(758\) | 2.32671 | − | 0.893494i | 0.0845101 | − | 0.0324532i | ||||
\(759\) | 3.09799 | − | 0.949062i | 0.112450 | − | 0.0344488i | ||||
\(760\) | −15.7970 | − | 8.93477i | −0.573017 | − | 0.324098i | ||||
\(761\) | 33.1635i | 1.20217i | 0.799184 | + | 0.601087i | \(0.205266\pi\) | ||||
−0.799184 | + | 0.601087i | \(0.794734\pi\) | |||||||
\(762\) | −24.7871 | + | 19.3936i | −0.897942 | + | 0.702557i | ||||
\(763\) | 34.3916 | + | 28.8580i | 1.24506 | + | 1.04473i | ||||
\(764\) | 5.24679 | − | 4.72674i | 0.189822 | − | 0.171008i | ||||
\(765\) | 25.0232 | + | 18.1373i | 0.904714 | + | 0.655754i | ||||
\(766\) | 21.6302 | + | 7.44469i | 0.781532 | + | 0.268988i | ||||
\(767\) | −21.9757 | − | 38.0631i | −0.793498 | − | 1.37438i | ||||
\(768\) | 15.8586 | − | 22.7267i | 0.572248 | − | 0.820081i | ||||
\(769\) | −0.936070 | − | 5.30871i | −0.0337555 | − | 0.191437i | 0.963267 | − | 0.268545i | \(-0.0865427\pi\) |
−0.997023 | + | 0.0771074i | \(0.975432\pi\) | |||||||
\(770\) | −5.54487 | + | 4.82136i | −0.199823 | + | 0.173750i | ||||
\(771\) | −10.6049 | + | 46.0533i | −0.381925 | + | 1.65857i | ||||
\(772\) | −7.40254 | + | 0.260460i | −0.266423 | + | 0.00937416i | ||||
\(773\) | −7.89932 | + | 6.62832i | −0.284119 | + | 0.238404i | −0.773698 | − | 0.633555i | \(-0.781595\pi\) |
0.489579 | + | 0.871959i | \(0.337151\pi\) | |||||||
\(774\) | 1.54387 | + | 0.133110i | 0.0554933 | + | 0.00478453i | ||||
\(775\) | 6.30873 | − | 17.3331i | 0.226616 | − | 0.622623i | ||||
\(776\) | −5.68071 | − | 4.27720i | −0.203926 | − | 0.153542i | ||||
\(777\) | 39.8710 | − | 4.91839i | 1.43037 | − | 0.176446i | ||||
\(778\) | −20.0853 | − | 33.4175i | −0.720092 | − | 1.19808i | ||||
\(779\) | 5.27910 | + | 10.1476i | 0.189143 | + | 0.363577i | ||||
\(780\) | 2.91780 | − | 15.0775i | 0.104474 | − | 0.539860i | ||||
\(781\) | −4.53458 | − | 0.799569i | −0.162260 | − | 0.0286108i | ||||
\(782\) | −23.4637 | − | 3.71310i | −0.839059 | − | 0.132780i | ||||
\(783\) | −5.48585 | − | 9.09507i | −0.196048 | − | 0.325031i | ||||
\(784\) | −43.7391 | − | 31.7430i | −1.56211 | − | 1.13368i | ||||
\(785\) | −11.7986 | − | 14.0611i | −0.421112 | − | 0.501861i | ||||
\(786\) | 3.29025 | − | 15.5326i | 0.117359 | − | 0.554029i | ||||
\(787\) | −15.3667 | + | 26.6159i | −0.547764 | + | 0.948754i | 0.450664 | + | 0.892694i | \(0.351187\pi\) |
−0.998427 | + | 0.0560605i | \(0.982146\pi\) | |||||||
\(788\) | −13.6894 | − | 4.44396i | −0.487665 | − | 0.158310i | ||||
\(789\) | 13.5507 | − | 6.91405i | 0.482417 | − | 0.246147i | ||||
\(790\) | −0.573249 | − | 32.5947i | −0.0203953 | − | 1.15967i | ||||
\(791\) | 16.1797 | + | 28.0241i | 0.575285 | + | 0.996424i | ||||
\(792\) | −6.44574 | − | 1.47776i | −0.229039 | − | 0.0525101i | ||||
\(793\) | 18.9105 | − | 6.88288i | 0.671533 | − | 0.244418i | ||||
\(794\) | −49.7001 | + | 9.66754i | −1.76379 | + | 0.343088i | ||||
\(795\) | −6.61308 | + | 15.6039i | −0.234542 | + | 0.553414i | ||||
\(796\) | 25.4916 | − | 32.6455i | 0.903525 | − | 1.15709i | ||||
\(797\) | 33.0971 | 1.17236 | 0.586180 | − | 0.810181i | \(-0.300631\pi\) | ||||
0.586180 | + | 0.810181i | \(0.300631\pi\) | |||||||
\(798\) | −48.1308 | + | 4.65541i | −1.70381 | + | 0.164800i | ||||
\(799\) | − | 19.7639i | − | 0.699198i | ||||||
\(800\) | 13.1340 | + | 9.18359i | 0.464356 | + | 0.324689i | ||||
\(801\) | 4.91927 | − | 47.3175i | 0.173814 | − | 1.67188i | ||||
\(802\) | 22.6773 | − | 4.41113i | 0.800764 | − | 0.155762i | ||||
\(803\) | 0.356740 | + | 0.980136i | 0.0125891 | + | 0.0345882i | ||||
\(804\) | −22.7650 | + | 12.6435i | −0.802860 | + | 0.445903i | ||||
\(805\) | 13.8584 | − | 8.00117i | 0.488446 | − | 0.282004i | ||||
\(806\) | −27.7256 | + | 0.487614i | −0.976591 | + | 0.0171755i | ||||
\(807\) | −1.57965 | + | 0.805994i | −0.0556062 | + | 0.0283723i | ||||
\(808\) | 6.39021 | + | 27.6291i | 0.224807 | + | 0.971989i | ||||
\(809\) | −24.4496 | − | 14.1160i | −0.859600 | − | 0.496291i | 0.00427805 | − | 0.999991i | \(-0.498638\pi\) |
−0.863878 | + | 0.503700i | \(0.831972\pi\) | |||||||
\(810\) | −11.8258 | − | 14.5325i | −0.415517 | − | 0.510621i | ||||
\(811\) | −13.3614 | + | 11.2115i | −0.469182 | + | 0.393690i | −0.846496 | − | 0.532395i | \(-0.821292\pi\) |
0.377314 | + | 0.926085i | \(0.376848\pi\) | |||||||
\(812\) | −18.3355 | − | 2.57195i | −0.643450 | − | 0.0902577i | ||||
\(813\) | 28.9011 | + | 1.49829i | 1.01361 | + | 0.0525472i | ||||
\(814\) | 0.882264 | − | 5.57516i | 0.0309233 | − | 0.195409i | ||||
\(815\) | 0.713938 | − | 4.04895i | 0.0250082 | − | 0.141828i | ||||
\(816\) | 37.7130 | + | 30.4712i | 1.32022 | + | 1.06671i | ||||
\(817\) | 0.0698669 | − | 1.59053i | 0.00244433 | − | 0.0556455i | ||||
\(818\) | 10.4981 | + | 17.4665i | 0.367056 | + | 0.610702i | ||||
\(819\) | −16.6849 | − | 37.3614i | −0.583019 | − | 1.30551i | ||||
\(820\) | 2.89609 | + | 7.16262i | 0.101136 | + | 0.250130i | ||||
\(821\) | 2.51028 | + | 0.913666i | 0.0876093 | + | 0.0318872i | 0.385453 | − | 0.922727i | \(-0.374045\pi\) |
−0.297844 | + | 0.954615i | \(0.596267\pi\) | |||||||
\(822\) | 13.3569 | + | 5.38571i | 0.465874 | + | 0.187848i | ||||
\(823\) | −7.38961 | − | 8.80660i | −0.257586 | − | 0.306979i | 0.621717 | − | 0.783242i | \(-0.286435\pi\) |
−0.879303 | + | 0.476263i | \(0.841991\pi\) | |||||||
\(824\) | −40.9390 | + | 26.6091i | −1.42618 | + | 0.926973i | ||||
\(825\) | 0.858166 | − | 3.72672i | 0.0298775 | − | 0.129748i | ||||
\(826\) | −70.5364 | + | 61.3327i | −2.45428 | + | 2.13404i | ||||
\(827\) | 33.9701 | − | 5.98985i | 1.18126 | − | 0.208287i | 0.451676 | − | 0.892182i | \(-0.350826\pi\) |
0.729581 | + | 0.683895i | \(0.239715\pi\) | |||||||
\(828\) | 13.1649 | + | 5.83943i | 0.457512 | + | 0.202934i | ||||
\(829\) | 8.50873 | − | 4.91252i | 0.295520 | − | 0.170619i | −0.344908 | − | 0.938636i | \(-0.612090\pi\) |
0.640429 | + | 0.768018i | \(0.278757\pi\) | |||||||
\(830\) | −2.30546 | + | 6.69843i | −0.0800238 | + | 0.232506i | ||||
\(831\) | −13.7635 | + | 10.3837i | −0.477449 | + | 0.360206i | ||||
\(832\) | 5.81006 | − | 23.3818i | 0.201428 | − | 0.810618i | ||||
\(833\) | 60.7767 | − | 72.4309i | 2.10579 | − | 2.50958i | ||||
\(834\) | −24.3568 | − | 31.1306i | −0.843407 | − | 1.07796i | ||||
\(835\) | 19.2974 | 0.667815 | ||||||||
\(836\) | −1.23815 | + | 6.68040i | −0.0428223 | + | 0.231047i | ||||
\(837\) | −21.2461 | + | 26.3277i | −0.734371 | + | 0.910020i | ||||
\(838\) | 17.0327 | + | 44.3541i | 0.588384 | + | 1.53219i | ||||
\(839\) | 26.9731 | + | 22.6331i | 0.931214 | + | 0.781381i | 0.976035 | − | 0.217614i | \(-0.0698274\pi\) |
−0.0448212 | + | 0.998995i | \(0.514272\pi\) | |||||||
\(840\) | −32.6604 | + | 0.0313746i | −1.12689 | + | 0.00108253i | ||||
\(841\) | 23.3247 | − | 8.48951i | 0.804301 | − | 0.292742i | ||||
\(842\) | 12.2480 | − | 35.5860i | 0.422094 | − | 1.22638i | ||||
\(843\) | 9.56241 | + | 8.90700i | 0.329347 | + | 0.306774i | ||||
\(844\) | −20.9347 | − | 33.4829i | −0.720604 | − | 1.15253i | ||||
\(845\) | 1.00464 | + | 5.69762i | 0.0345608 | + | 0.196004i | ||||
\(846\) | −3.08655 | + | 11.5775i | −0.106118 | + | 0.398044i | ||||
\(847\) | −40.7613 | − | 23.5336i | −1.40058 | − | 0.808623i | ||||
\(848\) | −11.6426 | + | 23.9030i | −0.399810 | + | 0.820832i | ||||
\(849\) | −6.54184 | − | 4.24308i | −0.224516 | − | 0.145622i | ||||
\(850\) | −17.6423 | + | 21.7924i | −0.605127 | + | 0.747471i | ||||
\(851\) | −4.20439 | + | 11.5515i | −0.144125 | + | 0.395979i | ||||
\(852\) | −12.8932 | − | 15.8949i | −0.441715 | − | 0.544550i | ||||
\(853\) | 33.7848 | + | 5.95717i | 1.15677 | + | 0.203969i | 0.718929 | − | 0.695084i | \(-0.244633\pi\) |
0.437840 | + | 0.899053i | \(0.355744\pi\) | |||||||
\(854\) | −22.0477 | − | 36.6825i | −0.754456 | − | 1.25525i | ||||
\(855\) | −14.4061 | + | 12.7676i | −0.492677 | + | 0.436643i | ||||
\(856\) | −1.78633 | − | 33.8288i | −0.0610555 | − | 1.15624i | ||||
\(857\) | 11.8672 | + | 2.09250i | 0.405375 | + | 0.0714786i | 0.372618 | − | 0.927985i | \(-0.378460\pi\) |
0.0327571 | + | 0.999463i | \(0.489571\pi\) | |||||||
\(858\) | −5.69264 | + | 0.804092i | −0.194343 | + | 0.0274512i | ||||
\(859\) | 44.7691 | + | 16.2946i | 1.52750 | + | 0.555966i | 0.963008 | − | 0.269471i | \(-0.0868489\pi\) |
0.564494 | + | 0.825437i | \(0.309071\pi\) | |||||||
\(860\) | 0.149374 | − | 1.06489i | 0.00509361 | − | 0.0363125i | ||||
\(861\) | 17.2704 | + | 11.2017i | 0.588575 | + | 0.381753i | ||||
\(862\) | −17.4511 | + | 31.4924i | −0.594387 | + | 1.07264i | ||||
\(863\) | −7.57109 | + | 13.1135i | −0.257723 | + | 0.446389i | −0.965632 | − | 0.259915i | \(-0.916306\pi\) |
0.707909 | + | 0.706304i | \(0.249639\pi\) | |||||||
\(864\) | −17.3332 | − | 23.7394i | −0.589688 | − | 0.807631i | ||||
\(865\) | −4.20245 | − | 23.8333i | −0.142888 | − | 0.810356i | ||||
\(866\) | 9.76496 | − | 0.171738i | 0.331827 | − | 0.00583589i | ||||
\(867\) | −37.7470 | + | 40.5245i | −1.28195 | + | 1.37628i | ||||
\(868\) | 12.2765 | + | 57.6816i | 0.416692 | + | 1.95784i | ||||
\(869\) | −11.4681 | + | 4.17405i | −0.389029 | + | 0.141595i | ||||
\(870\) | −6.50540 | + | 3.46480i | −0.220554 | + | 0.117468i | ||||
\(871\) | −14.5520 | + | 17.3424i | −0.493076 | + | 0.587625i | ||||
\(872\) | 27.8306 | + | 3.40598i | 0.942464 | + | 0.115341i | ||||
\(873\) | −6.24804 | + | 4.22463i | −0.211464 | + | 0.142982i | ||||
\(874\) | 5.42478 | − | 13.7662i | 0.183496 | − | 0.465649i | ||||
\(875\) | − | 52.2213i | − | 1.76540i | ||||||
\(876\) | −1.65787 | + | 4.32963i | −0.0560144 | + | 0.146285i | ||||
\(877\) | −16.5145 | + | 19.6812i | −0.557654 | + | 0.664586i | −0.969048 | − | 0.246872i | \(-0.920597\pi\) |
0.411394 | + | 0.911457i | \(0.365042\pi\) | |||||||
\(878\) | 43.0645 | − | 8.37680i | 1.45336 | − | 0.282703i | ||||
\(879\) | 22.4844 | + | 29.8028i | 0.758380 | + | 1.00522i | ||||
\(880\) | −1.26256 | + | 4.41185i | −0.0425607 | + | 0.148723i | ||||
\(881\) | −12.0939 | + | 6.98240i | −0.407453 | + | 0.235243i | −0.689695 | − | 0.724100i | \(-0.742255\pi\) |
0.282242 | + | 0.959343i | \(0.408922\pi\) | |||||||
\(882\) | −46.9140 | + | 32.9378i | −1.57968 | + | 1.10907i | ||||
\(883\) | −9.54729 | − | 54.1454i | −0.321292 | − | 1.82214i | −0.534546 | − | 0.845140i | \(-0.679517\pi\) |
0.213254 | − | 0.976997i | \(-0.431594\pi\) | |||||||
\(884\) | 40.0918 | + | 13.0149i | 1.34843 | + | 0.437739i | ||||
\(885\) | −8.34996 | + | 36.2610i | −0.280681 | + | 1.21890i | ||||
\(886\) | 31.7071 | + | 17.5701i | 1.06522 | + | 0.590278i | ||||
\(887\) | 20.7612 | − | 17.4207i | 0.697092 | − | 0.584930i | −0.223852 | − | 0.974623i | \(-0.571863\pi\) |
0.920945 | + | 0.389693i | \(0.127419\pi\) | |||||||
\(888\) | 19.2040 | − | 16.1456i | 0.644446 | − | 0.541810i | ||||
\(889\) | 54.6806 | + | 19.9021i | 1.83393 | + | 0.667495i | ||||
\(890\) | −32.6063 | − | 5.15992i | −1.09297 | − | 0.172961i | ||||
\(891\) | −3.70347 | + | 5.95668i | −0.124071 | + | 0.199556i | ||||
\(892\) | 15.9363 | + | 8.46806i | 0.533585 | + | 0.283532i | ||||
\(893\) | 12.0177 | + | 2.66761i | 0.402158 | + | 0.0892682i | ||||
\(894\) | −17.4125 | + | 19.3656i | −0.582360 | + | 0.647683i | ||||
\(895\) | 17.7620 | + | 3.13191i | 0.593717 | + | 0.104688i | ||||
\(896\) | −51.1709 | − | 2.63432i | −1.70950 | − | 0.0880066i | ||||
\(897\) | 12.5038 | + | 0.648221i | 0.417491 | + | 0.0216435i | ||||
\(898\) | −4.04057 | + | 4.99104i | −0.134836 | + | 0.166553i | ||||
\(899\) | 8.55467 | + | 10.1951i | 0.285314 | + | 0.340024i | ||||
\(900\) | 13.7380 | − | 10.0105i | 0.457935 | − | 0.333685i | ||||
\(901\) | −40.2842 | − | 23.2581i | −1.34206 | − | 0.774839i | ||||
\(902\) | 2.18260 | − | 1.89781i | 0.0726726 | − | 0.0631902i | ||||
\(903\) | −1.30216 | − | 2.55207i | −0.0433331 | − | 0.0849275i | ||||
\(904\) | 18.0104 | + | 9.16775i | 0.599016 | + | 0.304915i | ||||
\(905\) | −3.21502 | + | 1.85619i | −0.106871 | + | 0.0617020i | ||||
\(906\) | 0.270094 | + | 0.00924354i | 0.00897327 | + | 0.000307096i | ||||
\(907\) | 6.93582 | − | 2.52443i | 0.230300 | − | 0.0838224i | −0.224292 | − | 0.974522i | \(-0.572007\pi\) |
0.454593 | + | 0.890699i | \(0.349785\pi\) | |||||||
\(908\) | 6.80354 | + | 7.55208i | 0.225783 | + | 0.250625i | ||||
\(909\) | 29.9175 | + | 3.11031i | 0.992299 | + | 0.103162i | ||||
\(910\) | −26.5069 | + | 10.1791i | −0.878695 | + | 0.337433i | ||||
\(911\) | 7.56349 | 0.250590 | 0.125295 | − | 0.992120i | \(-0.460012\pi\) | ||||
0.125295 | + | 0.992120i | \(0.460012\pi\) | |||||||
\(912\) | −23.6187 | + | 18.8191i | −0.782093 | + | 0.623162i | ||||
\(913\) | 2.65201 | 0.0877686 | ||||||||
\(914\) | 15.1341 | − | 5.81174i | 0.500593 | − | 0.192235i | ||||
\(915\) | −15.6868 | − | 6.64820i | −0.518590 | − | 0.219783i | ||||
\(916\) | −35.0982 | − | 38.9598i | −1.15968 | − | 1.28727i | ||||
\(917\) | −27.5853 | + | 10.0402i | −0.910948 | + | 0.331558i | ||||
\(918\) | 43.5617 | − | 27.3311i | 1.43775 | − | 0.902060i | ||||
\(919\) | −10.5977 | + | 6.11856i | −0.349584 | + | 0.201833i | −0.664502 | − | 0.747286i | \(-0.731356\pi\) |
0.314918 | + | 0.949119i | \(0.398023\pi\) | |||||||
\(920\) | 4.53362 | − | 8.90644i | 0.149469 | − | 0.293637i | ||||
\(921\) | −19.9768 | + | 10.1929i | −0.658260 | + | 0.335868i | ||||
\(922\) | −32.6676 | + | 28.4050i | −1.07585 | + | 0.935470i | ||||
\(923\) | −15.4093 | − | 8.89659i | −0.507205 | − | 0.292835i | ||||
\(924\) | 3.99024 | + | 11.5574i | 0.131269 | + | 0.380210i | ||||
\(925\) | 9.32625 | + | 11.1146i | 0.306645 | + | 0.365445i | ||||
\(926\) | 27.3400 | − | 33.7712i | 0.898447 | − | 1.10979i | ||||
\(927\) | 12.5855 | + | 50.2360i | 0.413362 | + | 1.64997i | ||||
\(928\) | −10.4765 | + | 4.89372i | −0.343910 | + | 0.160644i | ||||
\(929\) | 3.23037 | + | 0.569602i | 0.105985 | + | 0.0186880i | 0.226389 | − | 0.974037i | \(-0.427308\pi\) |
−0.120404 | + | 0.992725i | \(0.538419\pi\) | |||||||
\(930\) | 17.4574 | + | 15.6967i | 0.572450 | + | 0.514715i | ||||
\(931\) | 35.8393 | + | 46.7323i | 1.17459 | + | 1.53159i | ||||
\(932\) | −11.3022 | − | 6.00568i | −0.370217 | − | 0.196722i | ||||
\(933\) | −54.2428 | + | 6.69126i | −1.77583 | + | 0.219062i | ||||
\(934\) | −28.2825 | − | 4.47567i | −0.925430 | − | 0.146448i | ||||
\(935\) | −7.54437 | − | 2.74593i | −0.246727 | − | 0.0898014i | ||||
\(936\) | −21.4528 | − | 13.8852i | −0.701208 | − | 0.453851i | ||||
\(937\) | 23.7387 | − | 19.9191i | 0.775509 | − | 0.650729i | −0.166605 | − | 0.986024i | \(-0.553280\pi\) |
0.942113 | + | 0.335295i | \(0.108836\pi\) | |||||||
\(938\) | 42.1130 | + | 23.3364i | 1.37504 | + | 0.761959i | ||||
\(939\) | −31.6189 | − | 7.28101i | −1.03185 | − | 0.237607i | ||||
\(940\) | 7.90836 | + | 2.56727i | 0.257942 | + | 0.0837352i | ||||
\(941\) | 4.41289 | + | 25.0268i | 0.143856 | + | 0.815849i | 0.968278 | + | 0.249874i | \(0.0803892\pi\) |
−0.824422 | + | 0.565975i | \(0.808500\pi\) | |||||||
\(942\) | −29.0419 | + | 9.45865i | −0.946236 | + | 0.308180i | ||||
\(943\) | −5.45503 | + | 3.14946i | −0.177640 | + | 0.102561i | ||||
\(944\) | −16.0610 | + | 56.1233i | −0.522741 | + | 1.82666i | ||||
\(945\) | −11.2227 | + | 32.7733i | −0.365075 | + | 1.06612i | ||||
\(946\) | −0.395151 | + | 0.0768638i | −0.0128475 | + | 0.00249906i | ||||
\(947\) | −24.4309 | + | 29.1156i | −0.793898 | + | 0.946131i | −0.999471 | − | 0.0325108i | \(-0.989650\pi\) |
0.205573 | + | 0.978642i | \(0.434094\pi\) | |||||||
\(948\) | −50.6590 | − | 19.3980i | −1.64533 | − | 0.630018i | ||||
\(949\) | 4.03059i | 0.130838i | ||||||||
\(950\) | −10.8699 | − | 13.6690i | −0.352665 | − | 0.443482i | ||||
\(951\) | 2.00634 | + | 6.54923i | 0.0650601 | + | 0.212373i | ||||
\(952\) | 10.8896 | − | 88.9803i | 0.352935 | − | 2.88387i | ||||
\(953\) | 0.998729 | − | 1.19024i | 0.0323520 | − | 0.0385556i | −0.749626 | − | 0.661862i | \(-0.769767\pi\) |
0.781978 | + | 0.623306i | \(0.214211\pi\) | |||||||
\(954\) | 19.9659 | + | 19.9156i | 0.646419 | + | 0.644791i | ||||
\(955\) | −4.88431 | + | 1.77774i | −0.158053 | + | 0.0575264i | ||||
\(956\) | −1.06624 | − | 5.00975i | −0.0344846 | − | 0.162027i | ||||
\(957\) | 2.01905 | + | 1.88067i | 0.0652667 | + | 0.0607934i | ||||
\(958\) | 38.5219 | − | 0.677492i | 1.24459 | − | 0.0218888i | ||||
\(959\) | −4.62385 | − | 26.2232i | −0.149312 | − | 0.846791i | ||||
\(960\) | −17.0916 | + | 11.1324i | −0.551628 | + | 0.359297i | ||||
\(961\) | 5.69527 | − | 9.86449i | 0.183718 | − | 0.318209i | ||||
\(962\) | 10.5722 | − | 19.0786i | 0.340861 | − | 0.615120i | ||||
\(963\) | −34.5501 | − | 9.86488i | −1.11336 | − | 0.317891i | ||||
\(964\) | 2.60736 | − | 18.5880i | 0.0839775 | − | 0.598678i | ||||
\(965\) | 5.12305 | + | 1.86464i | 0.164917 | + | 0.0600248i | ||||
\(966\) | −3.72424 | − | 26.3661i | −0.119826 | − | 0.848316i | ||||
\(967\) | −13.8409 | − | 2.44053i | −0.445094 | − | 0.0784821i | −0.0533909 | − | 0.998574i | \(-0.517003\pi\) |
−0.391703 | + | 0.920092i | \(0.628114\pi\) | |||||||
\(968\) | −29.3539 | + | 1.55003i | −0.943469 | + | 0.0498199i | ||||
\(969\) | −29.9391 | − | 43.5337i | −0.961782 | − | 1.39851i | ||||
\(970\) | 2.69620 | + | 4.48590i | 0.0865699 | + | 0.144033i | ||||
\(971\) | −6.27762 | − | 1.10691i | −0.201458 | − | 0.0355226i | 0.0720082 | − | 0.997404i | \(-0.477059\pi\) |
−0.273467 | + | 0.961881i | \(0.588170\pi\) | |||||||
\(972\) | −29.7864 | + | 9.20722i | −0.955398 | + | 0.295322i | ||||
\(973\) | −24.9954 | + | 68.6743i | −0.801316 | + | 2.20160i | ||||
\(974\) | −9.06778 | + | 11.2008i | −0.290550 | + | 0.358897i | ||||
\(975\) | 8.04166 | − | 12.3984i | 0.257539 | − | 0.397066i | ||||
\(976\) | −24.0299 | − | 11.7045i | −0.769179 | − | 0.374651i | ||||
\(977\) | −38.9574 | − | 22.4921i | −1.24636 | − | 0.719585i | −0.275977 | − | 0.961164i | \(-0.589001\pi\) |
−0.970381 | + | 0.241579i | \(0.922335\pi\) | |||||||
\(978\) | −5.80433 | − | 3.62133i | −0.185602 | − | 0.115797i | ||||
\(979\) | 2.14603 | + | 12.1707i | 0.0685873 | + | 0.388978i | ||||
\(980\) | 21.0878 | + | 33.7278i | 0.673627 | + | 1.07739i | ||||
\(981\) | 13.0066 | − | 26.7440i | 0.415268 | − | 0.853870i | ||||
\(982\) | 9.45706 | − | 27.4771i | 0.301787 | − | 0.876829i | ||||
\(983\) | −48.5128 | + | 17.6572i | −1.54732 | + | 0.563178i | −0.967787 | − | 0.251772i | \(-0.918987\pi\) |
−0.579532 | + | 0.814950i | \(0.696764\pi\) | |||||||
\(984\) | 12.8560 | − | 0.0123498i | 0.409833 | − | 0.000393698i | ||||
\(985\) | 8.11500 | + | 6.80929i | 0.258565 | + | 0.216962i | ||||
\(986\) | −7.25235 | − | 18.8856i | −0.230962 | − | 0.601439i | ||||
\(987\) | 21.1819 | − | 6.48902i | 0.674226 | − | 0.206548i | ||||
\(988\) | −13.3252 | + | 22.6217i | −0.423932 | + | 0.719691i | ||||
\(989\) | 0.876699 | 0.0278774 | ||||||||
\(990\) | 3.99059 | + | 2.78675i | 0.126829 | + | 0.0885687i | ||||
\(991\) | −22.3860 | + | 26.6785i | −0.711113 | + | 0.847472i | −0.993735 | − | 0.111759i | \(-0.964351\pi\) |
0.282622 | + | 0.959231i | \(0.408796\pi\) | |||||||
\(992\) | 26.0604 | + | 26.0260i | 0.827418 | + | 0.826326i | ||||
\(993\) | 22.4743 | + | 29.7894i | 0.713201 | + | 0.945339i | ||||
\(994\) | −12.3151 | + | 35.7811i | −0.390612 | + | 1.13491i | ||||
\(995\) | −26.4013 | + | 15.2428i | −0.836978 | + | 0.483230i | ||||
\(996\) | 8.90283 | + | 7.72617i | 0.282097 | + | 0.244813i | ||||
\(997\) | 31.1768 | − | 5.49731i | 0.987380 | − | 0.174102i | 0.343437 | − | 0.939176i | \(-0.388409\pi\) |
0.643942 | + | 0.765074i | \(0.277298\pi\) | |||||||
\(998\) | −18.6708 | + | 16.2346i | −0.591015 | + | 0.513899i | ||||
\(999\) | −9.57868 | − | 24.8276i | −0.303056 | − | 0.785509i |
(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 | 456.2.bu.c.131.65 | yes | 432 | |
3.2 | odd | 2 | inner | 456.2.bu.c.131.8 | ✓ | 432 | |
8.3 | odd | 2 | inner | 456.2.bu.c.131.58 | yes | 432 | |
19.9 | even | 9 | inner | 456.2.bu.c.275.15 | yes | 432 | |
24.11 | even | 2 | inner | 456.2.bu.c.131.15 | yes | 432 | |
57.47 | odd | 18 | inner | 456.2.bu.c.275.58 | yes | 432 | |
152.123 | odd | 18 | inner | 456.2.bu.c.275.8 | yes | 432 | |
456.275 | even | 18 | inner | 456.2.bu.c.275.65 | yes | 432 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
456.2.bu.c.131.8 | ✓ | 432 | 3.2 | odd | 2 | inner | |
456.2.bu.c.131.15 | yes | 432 | 24.11 | even | 2 | inner | |
456.2.bu.c.131.58 | yes | 432 | 8.3 | odd | 2 | inner | |
456.2.bu.c.131.65 | yes | 432 | 1.1 | even | 1 | trivial | |
456.2.bu.c.275.8 | yes | 432 | 152.123 | odd | 18 | inner | |
456.2.bu.c.275.15 | yes | 432 | 19.9 | even | 9 | inner | |
456.2.bu.c.275.58 | yes | 432 | 57.47 | odd | 18 | inner | |
456.2.bu.c.275.65 | yes | 432 | 456.275 | even | 18 | inner |