Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [31,2,Mod(2,31)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(31, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("31.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 31.d (of order \(5\), degree \(4\), 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: | \(0.247536246266\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{10})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 2.1 | ||
Root | \(0.809017 + 0.587785i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 31.2 |
Dual form | 31.2.d.a.16.1 |
$q$-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 \(\left(\mathbb{Z}/31\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.30902 | − | 0.951057i | −0.925615 | − | 0.672499i | 0.0193004 | − | 0.999814i | \(-0.493856\pi\) |
−0.944915 | + | 0.327315i | \(0.893856\pi\) | |||||||
\(3\) | 0.809017 | − | 0.587785i | 0.467086 | − | 0.339358i | −0.329218 | − | 0.944254i | \(-0.606785\pi\) |
0.796305 | + | 0.604896i | \(0.206785\pi\) | |||||||
\(4\) | 0.190983 | + | 0.587785i | 0.0954915 | + | 0.293893i | ||||
\(5\) | −0.381966 | −0.170820 | −0.0854102 | − | 0.996346i | \(-0.527220\pi\) | ||||
−0.0854102 | + | 0.996346i | \(0.527220\pi\) | |||||||
\(6\) | −1.61803 | −0.660560 | ||||||||
\(7\) | 0.927051 | + | 2.85317i | 0.350392 | + | 1.07840i | 0.958633 | + | 0.284644i | \(0.0918755\pi\) |
−0.608241 | + | 0.793752i | \(0.708125\pi\) | |||||||
\(8\) | −0.690983 | + | 2.12663i | −0.244299 | + | 0.751876i | ||||
\(9\) | −0.618034 | + | 1.90211i | −0.206011 | + | 0.634038i | ||||
\(10\) | 0.500000 | + | 0.363271i | 0.158114 | + | 0.114876i | ||||
\(11\) | −1.61803 | − | 4.97980i | −0.487856 | − | 1.50147i | −0.827802 | − | 0.561020i | \(-0.810409\pi\) |
0.339946 | − | 0.940445i | \(-0.389591\pi\) | |||||||
\(12\) | 0.500000 | + | 0.363271i | 0.144338 | + | 0.104867i | ||||
\(13\) | 1.50000 | − | 1.08981i | 0.416025 | − | 0.302260i | −0.360011 | − | 0.932948i | \(-0.617227\pi\) |
0.776037 | + | 0.630688i | \(0.217227\pi\) | |||||||
\(14\) | 1.50000 | − | 4.61653i | 0.400892 | − | 1.23382i | ||||
\(15\) | −0.309017 | + | 0.224514i | −0.0797878 | + | 0.0579693i | ||||
\(16\) | 3.92705 | − | 2.85317i | 0.981763 | − | 0.713292i | ||||
\(17\) | −1.30902 | + | 4.02874i | −0.317483 | + | 0.977113i | 0.657237 | + | 0.753684i | \(0.271725\pi\) |
−0.974720 | + | 0.223429i | \(0.928275\pi\) | |||||||
\(18\) | 2.61803 | − | 1.90211i | 0.617077 | − | 0.448332i | ||||
\(19\) | −4.04508 | − | 2.93893i | −0.928006 | − | 0.674236i | 0.0174977 | − | 0.999847i | \(-0.494430\pi\) |
−0.945504 | + | 0.325611i | \(0.894430\pi\) | |||||||
\(20\) | −0.0729490 | − | 0.224514i | −0.0163119 | − | 0.0502029i | ||||
\(21\) | 2.42705 | + | 1.76336i | 0.529626 | + | 0.384796i | ||||
\(22\) | −2.61803 | + | 8.05748i | −0.558167 | + | 1.71786i | ||||
\(23\) | 1.07295 | − | 3.30220i | 0.223725 | − | 0.688556i | −0.774693 | − | 0.632337i | \(-0.782096\pi\) |
0.998418 | − | 0.0562184i | \(-0.0179043\pi\) | |||||||
\(24\) | 0.690983 | + | 2.12663i | 0.141046 | + | 0.434096i | ||||
\(25\) | −4.85410 | −0.970820 | ||||||||
\(26\) | −3.00000 | −0.588348 | ||||||||
\(27\) | 1.54508 | + | 4.75528i | 0.297352 | + | 0.915155i | ||||
\(28\) | −1.50000 | + | 1.08981i | −0.283473 | + | 0.205955i | ||||
\(29\) | 5.16312 | + | 3.75123i | 0.958767 | + | 0.696585i | 0.952864 | − | 0.303397i | \(-0.0981210\pi\) |
0.00590304 | + | 0.999983i | \(0.498121\pi\) | |||||||
\(30\) | 0.618034 | 0.112837 | ||||||||
\(31\) | 0.0450850 | − | 5.56758i | 0.00809750 | − | 0.999967i | ||||
\(32\) | −3.38197 | −0.597853 | ||||||||
\(33\) | −4.23607 | − | 3.07768i | −0.737405 | − | 0.535756i | ||||
\(34\) | 5.54508 | − | 4.02874i | 0.950974 | − | 0.690923i | ||||
\(35\) | −0.354102 | − | 1.08981i | −0.0598542 | − | 0.184212i | ||||
\(36\) | −1.23607 | −0.206011 | ||||||||
\(37\) | −4.23607 | −0.696405 | −0.348203 | − | 0.937419i | \(-0.613208\pi\) | ||||
−0.348203 | + | 0.937419i | \(0.613208\pi\) | |||||||
\(38\) | 2.50000 | + | 7.69421i | 0.405554 | + | 1.24817i | ||||
\(39\) | 0.572949 | − | 1.76336i | 0.0917453 | − | 0.282363i | ||||
\(40\) | 0.263932 | − | 0.812299i | 0.0417313 | − | 0.128436i | ||||
\(41\) | 2.00000 | + | 1.45309i | 0.312348 | + | 0.226934i | 0.732903 | − | 0.680333i | \(-0.238165\pi\) |
−0.420556 | + | 0.907267i | \(0.638165\pi\) | |||||||
\(42\) | −1.50000 | − | 4.61653i | −0.231455 | − | 0.712345i | ||||
\(43\) | 1.92705 | + | 1.40008i | 0.293873 | + | 0.213511i | 0.724946 | − | 0.688806i | \(-0.241865\pi\) |
−0.431073 | + | 0.902317i | \(0.641865\pi\) | |||||||
\(44\) | 2.61803 | − | 1.90211i | 0.394683 | − | 0.286754i | ||||
\(45\) | 0.236068 | − | 0.726543i | 0.0351909 | − | 0.108307i | ||||
\(46\) | −4.54508 | + | 3.30220i | −0.670136 | + | 0.486882i | ||||
\(47\) | 4.54508 | − | 3.30220i | 0.662969 | − | 0.481675i | −0.204695 | − | 0.978826i | \(-0.565620\pi\) |
0.867664 | + | 0.497151i | \(0.165620\pi\) | |||||||
\(48\) | 1.50000 | − | 4.61653i | 0.216506 | − | 0.666338i | ||||
\(49\) | −1.61803 | + | 1.17557i | −0.231148 | + | 0.167939i | ||||
\(50\) | 6.35410 | + | 4.61653i | 0.898606 | + | 0.652875i | ||||
\(51\) | 1.30902 | + | 4.02874i | 0.183299 | + | 0.564136i | ||||
\(52\) | 0.927051 | + | 0.673542i | 0.128559 | + | 0.0934035i | ||||
\(53\) | 0.218847 | − | 0.673542i | 0.0300610 | − | 0.0925181i | −0.934900 | − | 0.354910i | \(-0.884511\pi\) |
0.964961 | + | 0.262392i | \(0.0845114\pi\) | |||||||
\(54\) | 2.50000 | − | 7.69421i | 0.340207 | − | 1.04705i | ||||
\(55\) | 0.618034 | + | 1.90211i | 0.0833357 | + | 0.256481i | ||||
\(56\) | −6.70820 | −0.896421 | ||||||||
\(57\) | −5.00000 | −0.662266 | ||||||||
\(58\) | −3.19098 | − | 9.82084i | −0.418997 | − | 1.28954i | ||||
\(59\) | −0.427051 | + | 0.310271i | −0.0555973 | + | 0.0403938i | −0.615237 | − | 0.788342i | \(-0.710940\pi\) |
0.559640 | + | 0.828736i | \(0.310940\pi\) | |||||||
\(60\) | −0.190983 | − | 0.138757i | −0.0246558 | − | 0.0179135i | ||||
\(61\) | 10.9443 | 1.40127 | 0.700635 | − | 0.713520i | \(-0.252900\pi\) | ||||
0.700635 | + | 0.713520i | \(0.252900\pi\) | |||||||
\(62\) | −5.35410 | + | 7.24518i | −0.679972 | + | 0.920139i | ||||
\(63\) | −6.00000 | −0.755929 | ||||||||
\(64\) | −3.42705 | − | 2.48990i | −0.428381 | − | 0.311237i | ||||
\(65\) | −0.572949 | + | 0.416272i | −0.0710656 | + | 0.0516322i | ||||
\(66\) | 2.61803 | + | 8.05748i | 0.322258 | + | 0.991807i | ||||
\(67\) | 0.236068 | 0.0288403 | 0.0144201 | − | 0.999896i | \(-0.495410\pi\) | ||||
0.0144201 | + | 0.999896i | \(0.495410\pi\) | |||||||
\(68\) | −2.61803 | −0.317483 | ||||||||
\(69\) | −1.07295 | − | 3.30220i | −0.129168 | − | 0.397538i | ||||
\(70\) | −0.572949 | + | 1.76336i | −0.0684805 | + | 0.210761i | ||||
\(71\) | −3.42705 | + | 10.5474i | −0.406716 | + | 1.25174i | 0.512738 | + | 0.858545i | \(0.328631\pi\) |
−0.919454 | + | 0.393198i | \(0.871369\pi\) | |||||||
\(72\) | −3.61803 | − | 2.62866i | −0.426389 | − | 0.309790i | ||||
\(73\) | 3.57295 | + | 10.9964i | 0.418182 | + | 1.28703i | 0.909374 | + | 0.415980i | \(0.136562\pi\) |
−0.491192 | + | 0.871052i | \(0.663438\pi\) | |||||||
\(74\) | 5.54508 | + | 4.02874i | 0.644603 | + | 0.468332i | ||||
\(75\) | −3.92705 | + | 2.85317i | −0.453457 | + | 0.329456i | ||||
\(76\) | 0.954915 | − | 2.93893i | 0.109536 | − | 0.337118i | ||||
\(77\) | 12.7082 | − | 9.23305i | 1.44823 | − | 1.05220i | ||||
\(78\) | −2.42705 | + | 1.76336i | −0.274809 | + | 0.199661i | ||||
\(79\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(80\) | −1.50000 | + | 1.08981i | −0.167705 | + | 0.121845i | ||||
\(81\) | −0.809017 | − | 0.587785i | −0.0898908 | − | 0.0653095i | ||||
\(82\) | −1.23607 | − | 3.80423i | −0.136501 | − | 0.420106i | ||||
\(83\) | −5.73607 | − | 4.16750i | −0.629615 | − | 0.457442i | 0.226652 | − | 0.973976i | \(-0.427222\pi\) |
−0.856267 | + | 0.516534i | \(0.827222\pi\) | |||||||
\(84\) | −0.572949 | + | 1.76336i | −0.0625139 | + | 0.192398i | ||||
\(85\) | 0.500000 | − | 1.53884i | 0.0542326 | − | 0.166911i | ||||
\(86\) | −1.19098 | − | 3.66547i | −0.128427 | − | 0.395258i | ||||
\(87\) | 6.38197 | 0.684219 | ||||||||
\(88\) | 11.7082 | 1.24810 | ||||||||
\(89\) | −2.66312 | − | 8.19624i | −0.282290 | − | 0.868799i | −0.987198 | − | 0.159500i | \(-0.949012\pi\) |
0.704908 | − | 0.709299i | \(-0.250988\pi\) | |||||||
\(90\) | −1.00000 | + | 0.726543i | −0.105409 | + | 0.0765843i | ||||
\(91\) | 4.50000 | + | 3.26944i | 0.471728 | + | 0.342731i | ||||
\(92\) | 2.14590 | 0.223725 | ||||||||
\(93\) | −3.23607 | − | 4.53077i | −0.335565 | − | 0.469819i | ||||
\(94\) | −9.09017 | −0.937579 | ||||||||
\(95\) | 1.54508 | + | 1.12257i | 0.158522 | + | 0.115173i | ||||
\(96\) | −2.73607 | + | 1.98787i | −0.279249 | + | 0.202886i | ||||
\(97\) | −5.78115 | − | 17.7926i | −0.586987 | − | 1.80656i | −0.591140 | − | 0.806569i | \(-0.701322\pi\) |
0.00415240 | − | 0.999991i | \(-0.498678\pi\) | |||||||
\(98\) | 3.23607 | 0.326892 | ||||||||
\(99\) | 10.4721 | 1.05249 | ||||||||
\(100\) | −0.927051 | − | 2.85317i | −0.0927051 | − | 0.285317i | ||||
\(101\) | 2.85410 | − | 8.78402i | 0.283994 | − | 0.874043i | −0.702705 | − | 0.711482i | \(-0.748024\pi\) |
0.986698 | − | 0.162561i | \(-0.0519755\pi\) | |||||||
\(102\) | 2.11803 | − | 6.51864i | 0.209717 | − | 0.645441i | ||||
\(103\) | 5.54508 | + | 4.02874i | 0.546373 | + | 0.396964i | 0.826447 | − | 0.563015i | \(-0.190359\pi\) |
−0.280073 | + | 0.959979i | \(0.590359\pi\) | |||||||
\(104\) | 1.28115 | + | 3.94298i | 0.125627 | + | 0.386641i | ||||
\(105\) | −0.927051 | − | 0.673542i | −0.0904709 | − | 0.0657310i | ||||
\(106\) | −0.927051 | + | 0.673542i | −0.0900432 | + | 0.0654202i | ||||
\(107\) | −3.11803 | + | 9.59632i | −0.301432 | + | 0.927711i | 0.679553 | + | 0.733626i | \(0.262174\pi\) |
−0.980985 | + | 0.194085i | \(0.937826\pi\) | |||||||
\(108\) | −2.50000 | + | 1.81636i | −0.240563 | + | 0.174779i | ||||
\(109\) | −14.8992 | + | 10.8249i | −1.42708 | + | 1.03684i | −0.436533 | + | 0.899688i | \(0.643794\pi\) |
−0.990551 | + | 0.137148i | \(0.956206\pi\) | |||||||
\(110\) | 1.00000 | − | 3.07768i | 0.0953463 | − | 0.293446i | ||||
\(111\) | −3.42705 | + | 2.48990i | −0.325281 | + | 0.236331i | ||||
\(112\) | 11.7812 | + | 8.55951i | 1.11321 | + | 0.808798i | ||||
\(113\) | 1.50000 | + | 4.61653i | 0.141108 | + | 0.434286i | 0.996490 | − | 0.0837117i | \(-0.0266775\pi\) |
−0.855382 | + | 0.517998i | \(0.826677\pi\) | |||||||
\(114\) | 6.54508 | + | 4.75528i | 0.613003 | + | 0.445373i | ||||
\(115\) | −0.409830 | + | 1.26133i | −0.0382168 | + | 0.117619i | ||||
\(116\) | −1.21885 | + | 3.75123i | −0.113167 | + | 0.348293i | ||||
\(117\) | 1.14590 | + | 3.52671i | 0.105938 | + | 0.326045i | ||||
\(118\) | 0.854102 | 0.0786265 | ||||||||
\(119\) | −12.7082 | −1.16496 | ||||||||
\(120\) | −0.263932 | − | 0.812299i | −0.0240936 | − | 0.0741524i | ||||
\(121\) | −13.2812 | + | 9.64932i | −1.20738 | + | 0.877211i | ||||
\(122\) | −14.3262 | − | 10.4086i | −1.29704 | − | 0.942352i | ||||
\(123\) | 2.47214 | 0.222905 | ||||||||
\(124\) | 3.28115 | − | 1.03681i | 0.294656 | − | 0.0931086i | ||||
\(125\) | 3.76393 | 0.336656 | ||||||||
\(126\) | 7.85410 | + | 5.70634i | 0.699699 | + | 0.508361i | ||||
\(127\) | −4.66312 | + | 3.38795i | −0.413785 | + | 0.300632i | −0.775132 | − | 0.631799i | \(-0.782317\pi\) |
0.361347 | + | 0.932431i | \(0.382317\pi\) | |||||||
\(128\) | 4.20820 | + | 12.9515i | 0.371956 | + | 1.14476i | ||||
\(129\) | 2.38197 | 0.209720 | ||||||||
\(130\) | 1.14590 | 0.100502 | ||||||||
\(131\) | −3.42705 | − | 10.5474i | −0.299423 | − | 0.921529i | −0.981700 | − | 0.190435i | \(-0.939010\pi\) |
0.682277 | − | 0.731094i | \(-0.260990\pi\) | |||||||
\(132\) | 1.00000 | − | 3.07768i | 0.0870388 | − | 0.267878i | ||||
\(133\) | 4.63525 | − | 14.2658i | 0.401928 | − | 1.23701i | ||||
\(134\) | −0.309017 | − | 0.224514i | −0.0266950 | − | 0.0193951i | ||||
\(135\) | −0.590170 | − | 1.81636i | −0.0507937 | − | 0.156327i | ||||
\(136\) | −7.66312 | − | 5.56758i | −0.657107 | − | 0.477416i | ||||
\(137\) | −2.00000 | + | 1.45309i | −0.170872 | + | 0.124145i | −0.669934 | − | 0.742420i | \(-0.733678\pi\) |
0.499063 | + | 0.866566i | \(0.333678\pi\) | |||||||
\(138\) | −1.73607 | + | 5.34307i | −0.147784 | + | 0.454832i | ||||
\(139\) | 0.690983 | − | 0.502029i | 0.0586084 | − | 0.0425815i | −0.558095 | − | 0.829777i | \(-0.688468\pi\) |
0.616704 | + | 0.787195i | \(0.288468\pi\) | |||||||
\(140\) | 0.572949 | − | 0.416272i | 0.0484230 | − | 0.0351814i | ||||
\(141\) | 1.73607 | − | 5.34307i | 0.146203 | − | 0.449967i | ||||
\(142\) | 14.5172 | − | 10.5474i | 1.21826 | − | 0.885116i | ||||
\(143\) | −7.85410 | − | 5.70634i | −0.656793 | − | 0.477188i | ||||
\(144\) | 3.00000 | + | 9.23305i | 0.250000 | + | 0.769421i | ||||
\(145\) | −1.97214 | − | 1.43284i | −0.163777 | − | 0.118991i | ||||
\(146\) | 5.78115 | − | 17.7926i | 0.478452 | − | 1.47252i | ||||
\(147\) | −0.618034 | + | 1.90211i | −0.0509746 | + | 0.156884i | ||||
\(148\) | −0.809017 | − | 2.48990i | −0.0665008 | − | 0.204668i | ||||
\(149\) | 12.0344 | 0.985900 | 0.492950 | − | 0.870058i | \(-0.335919\pi\) | ||||
0.492950 | + | 0.870058i | \(0.335919\pi\) | |||||||
\(150\) | 7.85410 | 0.641285 | ||||||||
\(151\) | 5.71885 | + | 17.6008i | 0.465393 | + | 1.43233i | 0.858487 | + | 0.512835i | \(0.171405\pi\) |
−0.393094 | + | 0.919498i | \(0.628595\pi\) | |||||||
\(152\) | 9.04508 | − | 6.57164i | 0.733653 | − | 0.533030i | ||||
\(153\) | −6.85410 | − | 4.97980i | −0.554121 | − | 0.402593i | ||||
\(154\) | −25.4164 | −2.04811 | ||||||||
\(155\) | −0.0172209 | + | 2.12663i | −0.00138322 | + | 0.170815i | ||||
\(156\) | 1.14590 | 0.0917453 | ||||||||
\(157\) | 3.00000 | + | 2.17963i | 0.239426 | + | 0.173953i | 0.701028 | − | 0.713134i | \(-0.252725\pi\) |
−0.461601 | + | 0.887087i | \(0.652725\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −0.218847 | − | 0.673542i | −0.0173557 | − | 0.0534154i | ||||
\(160\) | 1.29180 | 0.102125 | ||||||||
\(161\) | 10.4164 | 0.820928 | ||||||||
\(162\) | 0.500000 | + | 1.53884i | 0.0392837 | + | 0.120903i | ||||
\(163\) | 0.218847 | − | 0.673542i | 0.0171414 | − | 0.0527559i | −0.942120 | − | 0.335276i | \(-0.891170\pi\) |
0.959261 | + | 0.282520i | \(0.0911704\pi\) | |||||||
\(164\) | −0.472136 | + | 1.45309i | −0.0368676 | + | 0.113467i | ||||
\(165\) | 1.61803 | + | 1.17557i | 0.125964 | + | 0.0915180i | ||||
\(166\) | 3.54508 | + | 10.9106i | 0.275152 | + | 0.846831i | ||||
\(167\) | 3.85410 | + | 2.80017i | 0.298239 | + | 0.216684i | 0.726834 | − | 0.686813i | \(-0.240991\pi\) |
−0.428594 | + | 0.903497i | \(0.640991\pi\) | |||||||
\(168\) | −5.42705 | + | 3.94298i | −0.418706 | + | 0.304208i | ||||
\(169\) | −2.95492 | + | 9.09429i | −0.227301 | + | 0.699561i | ||||
\(170\) | −2.11803 | + | 1.53884i | −0.162446 | + | 0.118024i | ||||
\(171\) | 8.09017 | − | 5.87785i | 0.618671 | − | 0.449491i | ||||
\(172\) | −0.454915 | + | 1.40008i | −0.0346869 | + | 0.106755i | ||||
\(173\) | −9.78115 | + | 7.10642i | −0.743647 | + | 0.540291i | −0.893851 | − | 0.448364i | \(-0.852007\pi\) |
0.150204 | + | 0.988655i | \(0.452007\pi\) | |||||||
\(174\) | −8.35410 | − | 6.06961i | −0.633323 | − | 0.460136i | ||||
\(175\) | −4.50000 | − | 13.8496i | −0.340168 | − | 1.04693i | ||||
\(176\) | −20.5623 | − | 14.9394i | −1.54994 | − | 1.12610i | ||||
\(177\) | −0.163119 | + | 0.502029i | −0.0122608 | + | 0.0377348i | ||||
\(178\) | −4.30902 | + | 13.2618i | −0.322974 | + | 0.994013i | ||||
\(179\) | −1.48278 | − | 4.56352i | −0.110828 | − | 0.341094i | 0.880226 | − | 0.474555i | \(-0.157391\pi\) |
−0.991054 | + | 0.133461i | \(0.957391\pi\) | |||||||
\(180\) | 0.472136 | 0.0351909 | ||||||||
\(181\) | 17.0000 | 1.26360 | 0.631800 | − | 0.775131i | \(-0.282316\pi\) | ||||
0.631800 | + | 0.775131i | \(0.282316\pi\) | |||||||
\(182\) | −2.78115 | − | 8.55951i | −0.206153 | − | 0.634473i | ||||
\(183\) | 8.85410 | − | 6.43288i | 0.654514 | − | 0.475532i | ||||
\(184\) | 6.28115 | + | 4.56352i | 0.463053 | + | 0.336428i | ||||
\(185\) | 1.61803 | 0.118960 | ||||||||
\(186\) | −0.0729490 | + | 9.00854i | −0.00534888 | + | 0.660538i | ||||
\(187\) | 22.1803 | 1.62199 | ||||||||
\(188\) | 2.80902 | + | 2.04087i | 0.204869 | + | 0.148846i | ||||
\(189\) | −12.1353 | + | 8.81678i | −0.882710 | + | 0.641326i | ||||
\(190\) | −0.954915 | − | 2.93893i | −0.0692768 | − | 0.213212i | ||||
\(191\) | −4.90983 | −0.355263 | −0.177631 | − | 0.984097i | \(-0.556843\pi\) | ||||
−0.177631 | + | 0.984097i | \(0.556843\pi\) | |||||||
\(192\) | −4.23607 | −0.305712 | ||||||||
\(193\) | −1.42705 | − | 4.39201i | −0.102721 | − | 0.316144i | 0.886468 | − | 0.462791i | \(-0.153152\pi\) |
−0.989189 | + | 0.146647i | \(0.953152\pi\) | |||||||
\(194\) | −9.35410 | + | 28.7890i | −0.671585 | + | 2.06693i | ||||
\(195\) | −0.218847 | + | 0.673542i | −0.0156720 | + | 0.0482333i | ||||
\(196\) | −1.00000 | − | 0.726543i | −0.0714286 | − | 0.0518959i | ||||
\(197\) | −3.21885 | − | 9.90659i | −0.229333 | − | 0.705815i | −0.997823 | − | 0.0659530i | \(-0.978991\pi\) |
0.768489 | − | 0.639863i | \(-0.221009\pi\) | |||||||
\(198\) | −13.7082 | − | 9.95959i | −0.974200 | − | 0.707797i | ||||
\(199\) | 10.7533 | − | 7.81272i | 0.762280 | − | 0.553829i | −0.137329 | − | 0.990526i | \(-0.543852\pi\) |
0.899609 | + | 0.436696i | \(0.143852\pi\) | |||||||
\(200\) | 3.35410 | − | 10.3229i | 0.237171 | − | 0.729937i | ||||
\(201\) | 0.190983 | − | 0.138757i | 0.0134709 | − | 0.00978718i | ||||
\(202\) | −12.0902 | + | 8.78402i | −0.850661 | + | 0.618042i | ||||
\(203\) | −5.91641 | + | 18.2088i | −0.415250 | + | 1.27801i | ||||
\(204\) | −2.11803 | + | 1.53884i | −0.148292 | + | 0.107740i | ||||
\(205\) | −0.763932 | − | 0.555029i | −0.0533553 | − | 0.0387649i | ||||
\(206\) | −3.42705 | − | 10.5474i | −0.238774 | − | 0.734871i | ||||
\(207\) | 5.61803 | + | 4.08174i | 0.390480 | + | 0.283701i | ||||
\(208\) | 2.78115 | − | 8.55951i | 0.192838 | − | 0.593495i | ||||
\(209\) | −8.09017 | + | 24.8990i | −0.559609 | + | 1.72230i | ||||
\(210\) | 0.572949 | + | 1.76336i | 0.0395372 | + | 0.121683i | ||||
\(211\) | −8.00000 | −0.550743 | −0.275371 | − | 0.961338i | \(-0.588801\pi\) | ||||
−0.275371 | + | 0.961338i | \(0.588801\pi\) | |||||||
\(212\) | 0.437694 | 0.0300610 | ||||||||
\(213\) | 3.42705 | + | 10.5474i | 0.234818 | + | 0.722694i | ||||
\(214\) | 13.2082 | − | 9.59632i | 0.902894 | − | 0.655991i | ||||
\(215\) | −0.736068 | − | 0.534785i | −0.0501994 | − | 0.0364720i | ||||
\(216\) | −11.1803 | −0.760726 | ||||||||
\(217\) | 15.9271 | − | 5.03280i | 1.08120 | − | 0.341649i | ||||
\(218\) | 29.7984 | 2.01820 | ||||||||
\(219\) | 9.35410 | + | 6.79615i | 0.632092 | + | 0.459241i | ||||
\(220\) | −1.00000 | + | 0.726543i | −0.0674200 | + | 0.0489835i | ||||
\(221\) | 2.42705 | + | 7.46969i | 0.163261 | + | 0.502466i | ||||
\(222\) | 6.85410 | 0.460017 | ||||||||
\(223\) | −12.7082 | −0.851004 | −0.425502 | − | 0.904957i | \(-0.639903\pi\) | ||||
−0.425502 | + | 0.904957i | \(0.639903\pi\) | |||||||
\(224\) | −3.13525 | − | 9.64932i | −0.209483 | − | 0.644722i | ||||
\(225\) | 3.00000 | − | 9.23305i | 0.200000 | − | 0.615537i | ||||
\(226\) | 2.42705 | − | 7.46969i | 0.161445 | − | 0.496877i | ||||
\(227\) | −17.5902 | − | 12.7800i | −1.16750 | − | 0.848239i | −0.176793 | − | 0.984248i | \(-0.556572\pi\) |
−0.990708 | + | 0.136009i | \(0.956572\pi\) | |||||||
\(228\) | −0.954915 | − | 2.93893i | −0.0632408 | − | 0.194635i | ||||
\(229\) | 2.23607 | + | 1.62460i | 0.147764 | + | 0.107356i | 0.659211 | − | 0.751958i | \(-0.270890\pi\) |
−0.511447 | + | 0.859315i | \(0.670890\pi\) | |||||||
\(230\) | 1.73607 | − | 1.26133i | 0.114473 | − | 0.0831695i | ||||
\(231\) | 4.85410 | − | 14.9394i | 0.319376 | − | 0.982940i | ||||
\(232\) | −11.5451 | + | 8.38800i | −0.757972 | + | 0.550699i | ||||
\(233\) | 4.69098 | − | 3.40820i | 0.307317 | − | 0.223279i | −0.423428 | − | 0.905930i | \(-0.639173\pi\) |
0.730744 | + | 0.682651i | \(0.239173\pi\) | |||||||
\(234\) | 1.85410 | − | 5.70634i | 0.121206 | − | 0.373035i | ||||
\(235\) | −1.73607 | + | 1.26133i | −0.113249 | + | 0.0822799i | ||||
\(236\) | −0.263932 | − | 0.191758i | −0.0171805 | − | 0.0124824i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 16.6353 | + | 12.0862i | 1.07830 | + | 0.783433i | ||||
\(239\) | 4.14590 | − | 12.7598i | 0.268176 | − | 0.825360i | −0.722769 | − | 0.691090i | \(-0.757131\pi\) |
0.990945 | − | 0.134271i | \(-0.0428691\pi\) | |||||||
\(240\) | −0.572949 | + | 1.76336i | −0.0369837 | + | 0.113824i | ||||
\(241\) | −5.39919 | − | 16.6170i | −0.347792 | − | 1.07039i | −0.960072 | − | 0.279753i | \(-0.909747\pi\) |
0.612280 | − | 0.790641i | \(-0.290253\pi\) | |||||||
\(242\) | 26.5623 | 1.70749 | ||||||||
\(243\) | −16.0000 | −1.02640 | ||||||||
\(244\) | 2.09017 | + | 6.43288i | 0.133809 | + | 0.411823i | ||||
\(245\) | 0.618034 | − | 0.449028i | 0.0394847 | − | 0.0286873i | ||||
\(246\) | −3.23607 | − | 2.35114i | −0.206324 | − | 0.149903i | ||||
\(247\) | −9.27051 | −0.589868 | ||||||||
\(248\) | 11.8090 | + | 3.94298i | 0.749873 | + | 0.250380i | ||||
\(249\) | −7.09017 | −0.449321 | ||||||||
\(250\) | −4.92705 | − | 3.57971i | −0.311614 | − | 0.226401i | ||||
\(251\) | 13.7082 | − | 9.95959i | 0.865254 | − | 0.628644i | −0.0640551 | − | 0.997946i | \(-0.520403\pi\) |
0.929309 | + | 0.369302i | \(0.120403\pi\) | |||||||
\(252\) | −1.14590 | − | 3.52671i | −0.0721848 | − | 0.222162i | ||||
\(253\) | −18.1803 | −1.14299 | ||||||||
\(254\) | 9.32624 | 0.585180 | ||||||||
\(255\) | −0.500000 | − | 1.53884i | −0.0313112 | − | 0.0963660i | ||||
\(256\) | 4.19098 | − | 12.8985i | 0.261936 | − | 0.806157i | ||||
\(257\) | −7.85410 | + | 24.1724i | −0.489925 | + | 1.50784i | 0.334793 | + | 0.942292i | \(0.391334\pi\) |
−0.824718 | + | 0.565544i | \(0.808666\pi\) | |||||||
\(258\) | −3.11803 | − | 2.26538i | −0.194120 | − | 0.141037i | ||||
\(259\) | −3.92705 | − | 12.0862i | −0.244015 | − | 0.751001i | ||||
\(260\) | −0.354102 | − | 0.257270i | −0.0219605 | − | 0.0159552i | ||||
\(261\) | −10.3262 | + | 7.50245i | −0.639178 | + | 0.464390i | ||||
\(262\) | −5.54508 | + | 17.0660i | −0.342576 | + | 1.05434i | ||||
\(263\) | −11.1631 | + | 8.11048i | −0.688347 | + | 0.500114i | −0.876116 | − | 0.482100i | \(-0.839874\pi\) |
0.187769 | + | 0.982213i | \(0.439874\pi\) | |||||||
\(264\) | 9.47214 | − | 6.88191i | 0.582970 | − | 0.423552i | ||||
\(265\) | −0.0835921 | + | 0.257270i | −0.00513502 | + | 0.0158040i | ||||
\(266\) | −19.6353 | + | 14.2658i | −1.20391 | + | 0.874695i | ||||
\(267\) | −6.97214 | − | 5.06555i | −0.426688 | − | 0.310007i | ||||
\(268\) | 0.0450850 | + | 0.138757i | 0.00275400 | + | 0.00847595i | ||||
\(269\) | 2.92705 | + | 2.12663i | 0.178465 | + | 0.129663i | 0.673432 | − | 0.739249i | \(-0.264820\pi\) |
−0.494966 | + | 0.868912i | \(0.664820\pi\) | |||||||
\(270\) | −0.954915 | + | 2.93893i | −0.0581143 | + | 0.178857i | ||||
\(271\) | −3.26393 | + | 10.0453i | −0.198270 | + | 0.610212i | 0.801653 | + | 0.597790i | \(0.203954\pi\) |
−0.999923 | + | 0.0124220i | \(0.996046\pi\) | |||||||
\(272\) | 6.35410 | + | 19.5559i | 0.385274 | + | 1.18575i | ||||
\(273\) | 5.56231 | 0.336646 | ||||||||
\(274\) | 4.00000 | 0.241649 | ||||||||
\(275\) | 7.85410 | + | 24.1724i | 0.473620 | + | 1.45765i | ||||
\(276\) | 1.73607 | − | 1.26133i | 0.104499 | − | 0.0759230i | ||||
\(277\) | 1.88197 | + | 1.36733i | 0.113076 | + | 0.0821548i | 0.642886 | − | 0.765962i | \(-0.277737\pi\) |
−0.529810 | + | 0.848116i | \(0.677737\pi\) | |||||||
\(278\) | −1.38197 | −0.0828848 | ||||||||
\(279\) | 10.5623 | + | 3.52671i | 0.632349 | + | 0.211139i | ||||
\(280\) | 2.56231 | 0.153127 | ||||||||
\(281\) | 8.11803 | + | 5.89810i | 0.484281 | + | 0.351851i | 0.802981 | − | 0.596005i | \(-0.203246\pi\) |
−0.318700 | + | 0.947856i | \(0.603246\pi\) | |||||||
\(282\) | −7.35410 | + | 5.34307i | −0.437930 | + | 0.318175i | ||||
\(283\) | −4.19098 | − | 12.8985i | −0.249128 | − | 0.766737i | −0.994930 | − | 0.100570i | \(-0.967933\pi\) |
0.745802 | − | 0.666168i | \(-0.232067\pi\) | |||||||
\(284\) | −6.85410 | −0.406716 | ||||||||
\(285\) | 1.90983 | 0.113129 | ||||||||
\(286\) | 4.85410 | + | 14.9394i | 0.287029 | + | 0.883385i | ||||
\(287\) | −2.29180 | + | 7.05342i | −0.135280 | + | 0.416350i | ||||
\(288\) | 2.09017 | − | 6.43288i | 0.123164 | − | 0.379061i | ||||
\(289\) | −0.763932 | − | 0.555029i | −0.0449372 | − | 0.0326488i | ||||
\(290\) | 1.21885 | + | 3.75123i | 0.0715732 | + | 0.220280i | ||||
\(291\) | −15.1353 | − | 10.9964i | −0.887244 | − | 0.644621i | ||||
\(292\) | −5.78115 | + | 4.20025i | −0.338316 | + | 0.245801i | ||||
\(293\) | −1.16312 | + | 3.57971i | −0.0679501 | + | 0.209129i | −0.979266 | − | 0.202579i | \(-0.935068\pi\) |
0.911316 | + | 0.411708i | \(0.135068\pi\) | |||||||
\(294\) | 2.61803 | − | 1.90211i | 0.152687 | − | 0.110933i | ||||
\(295\) | 0.163119 | − | 0.118513i | 0.00949715 | − | 0.00690009i | ||||
\(296\) | 2.92705 | − | 9.00854i | 0.170131 | − | 0.523611i | ||||
\(297\) | 21.1803 | − | 15.3884i | 1.22901 | − | 0.892927i | ||||
\(298\) | −15.7533 | − | 11.4454i | −0.912564 | − | 0.663016i | ||||
\(299\) | −1.98936 | − | 6.12261i | −0.115047 | − | 0.354080i | ||||
\(300\) | −2.42705 | − | 1.76336i | −0.140126 | − | 0.101807i | ||||
\(301\) | −2.20820 | + | 6.79615i | −0.127279 | + | 0.391724i | ||||
\(302\) | 9.25329 | − | 28.4787i | 0.532467 | − | 1.63876i | ||||
\(303\) | −2.85410 | − | 8.78402i | −0.163964 | − | 0.504629i | ||||
\(304\) | −24.2705 | −1.39201 | ||||||||
\(305\) | −4.18034 | −0.239366 | ||||||||
\(306\) | 4.23607 | + | 13.0373i | 0.242160 | + | 0.745292i | ||||
\(307\) | 4.11803 | − | 2.99193i | 0.235029 | − | 0.170758i | −0.464037 | − | 0.885816i | \(-0.653600\pi\) |
0.699066 | + | 0.715058i | \(0.253600\pi\) | |||||||
\(308\) | 7.85410 | + | 5.70634i | 0.447529 | + | 0.325149i | ||||
\(309\) | 6.85410 | 0.389916 | ||||||||
\(310\) | 2.04508 | − | 2.76741i | 0.116153 | − | 0.157178i | ||||
\(311\) | 7.52786 | 0.426866 | 0.213433 | − | 0.976958i | \(-0.431535\pi\) | ||||
0.213433 | + | 0.976958i | \(0.431535\pi\) | |||||||
\(312\) | 3.35410 | + | 2.43690i | 0.189889 | + | 0.137962i | ||||
\(313\) | 2.61803 | − | 1.90211i | 0.147980 | − | 0.107514i | −0.511332 | − | 0.859383i | \(-0.670848\pi\) |
0.659312 | + | 0.751870i | \(0.270848\pi\) | |||||||
\(314\) | −1.85410 | − | 5.70634i | −0.104633 | − | 0.322027i | ||||
\(315\) | 2.29180 | 0.129128 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −3.05573 | − | 9.40456i | −0.171627 | − | 0.528213i | 0.827837 | − | 0.560969i | \(-0.189571\pi\) |
−0.999463 | + | 0.0327564i | \(0.989571\pi\) | |||||||
\(318\) | −0.354102 | + | 1.08981i | −0.0198571 | + | 0.0611137i | ||||
\(319\) | 10.3262 | − | 31.7809i | 0.578158 | − | 1.77939i | ||||
\(320\) | 1.30902 | + | 0.951057i | 0.0731763 | + | 0.0531657i | ||||
\(321\) | 3.11803 | + | 9.59632i | 0.174032 | + | 0.535614i | ||||
\(322\) | −13.6353 | − | 9.90659i | −0.759863 | − | 0.552073i | ||||
\(323\) | 17.1353 | − | 12.4495i | 0.953431 | − | 0.692708i | ||||
\(324\) | 0.190983 | − | 0.587785i | 0.0106102 | − | 0.0326547i | ||||
\(325\) | −7.28115 | + | 5.29007i | −0.403886 | + | 0.293440i | ||||
\(326\) | −0.927051 | + | 0.673542i | −0.0513446 | + | 0.0373040i | ||||
\(327\) | −5.69098 | + | 17.5150i | −0.314712 | + | 0.968584i | ||||
\(328\) | −4.47214 | + | 3.24920i | −0.246932 | + | 0.179407i | ||||
\(329\) | 13.6353 | + | 9.90659i | 0.751736 | + | 0.546168i | ||||
\(330\) | −1.00000 | − | 3.07768i | −0.0550482 | − | 0.169421i | ||||
\(331\) | 18.0172 | + | 13.0903i | 0.990316 | + | 0.719507i | 0.959990 | − | 0.280033i | \(-0.0903455\pi\) |
0.0303258 | + | 0.999540i | \(0.490346\pi\) | |||||||
\(332\) | 1.35410 | − | 4.16750i | 0.0743160 | − | 0.228721i | ||||
\(333\) | 2.61803 | − | 8.05748i | 0.143467 | − | 0.441547i | ||||
\(334\) | −2.38197 | − | 7.33094i | −0.130335 | − | 0.401131i | ||||
\(335\) | −0.0901699 | −0.00492651 | ||||||||
\(336\) | 14.5623 | 0.794439 | ||||||||
\(337\) | −8.64590 | − | 26.6093i | −0.470972 | − | 1.44950i | −0.851314 | − | 0.524657i | \(-0.824194\pi\) |
0.380342 | − | 0.924846i | \(-0.375806\pi\) | |||||||
\(338\) | 12.5172 | − | 9.09429i | 0.680847 | − | 0.494664i | ||||
\(339\) | 3.92705 | + | 2.85317i | 0.213288 | + | 0.154963i | ||||
\(340\) | 1.00000 | 0.0542326 | ||||||||
\(341\) | −27.7984 | + | 8.78402i | −1.50537 | + | 0.475681i | ||||
\(342\) | −16.1803 | −0.874933 | ||||||||
\(343\) | 12.1353 | + | 8.81678i | 0.655242 | + | 0.476061i | ||||
\(344\) | −4.30902 | + | 3.13068i | −0.232327 | + | 0.168795i | ||||
\(345\) | 0.409830 | + | 1.26133i | 0.0220645 | + | 0.0679076i | ||||
\(346\) | 19.5623 | 1.05168 | ||||||||
\(347\) | −32.1246 | −1.72454 | −0.862270 | − | 0.506449i | \(-0.830958\pi\) | ||||
−0.862270 | + | 0.506449i | \(0.830958\pi\) | |||||||
\(348\) | 1.21885 | + | 3.75123i | 0.0653371 | + | 0.201087i | ||||
\(349\) | −1.01722 | + | 3.13068i | −0.0544506 | + | 0.167582i | −0.974584 | − | 0.224025i | \(-0.928080\pi\) |
0.920133 | + | 0.391606i | \(0.128080\pi\) | |||||||
\(350\) | −7.28115 | + | 22.4091i | −0.389194 | + | 1.19782i | ||||
\(351\) | 7.50000 | + | 5.44907i | 0.400320 | + | 0.290850i | ||||
\(352\) | 5.47214 | + | 16.8415i | 0.291666 | + | 0.897655i | ||||
\(353\) | 28.0066 | + | 20.3480i | 1.49064 | + | 1.08301i | 0.973929 | + | 0.226853i | \(0.0728437\pi\) |
0.516711 | + | 0.856160i | \(0.327156\pi\) | |||||||
\(354\) | 0.690983 | − | 0.502029i | 0.0367253 | − | 0.0266825i | ||||
\(355\) | 1.30902 | − | 4.02874i | 0.0694754 | − | 0.213823i | ||||
\(356\) | 4.30902 | − | 3.13068i | 0.228377 | − | 0.165926i | ||||
\(357\) | −10.2812 | + | 7.46969i | −0.544136 | + | 0.395338i | ||||
\(358\) | −2.39919 | + | 7.38394i | −0.126801 | + | 0.390253i | ||||
\(359\) | 7.82624 | − | 5.68609i | 0.413053 | − | 0.300101i | −0.361784 | − | 0.932262i | \(-0.617832\pi\) |
0.774837 | + | 0.632161i | \(0.217832\pi\) | |||||||
\(360\) | 1.38197 | + | 1.00406i | 0.0728360 | + | 0.0529185i | ||||
\(361\) | 1.85410 | + | 5.70634i | 0.0975843 | + | 0.300334i | ||||
\(362\) | −22.2533 | − | 16.1680i | −1.16961 | − | 0.849769i | ||||
\(363\) | −5.07295 | + | 15.6129i | −0.266261 | + | 0.819466i | ||||
\(364\) | −1.06231 | + | 3.26944i | −0.0556800 | + | 0.171365i | ||||
\(365\) | −1.36475 | − | 4.20025i | −0.0714340 | − | 0.219851i | ||||
\(366\) | −17.7082 | −0.925623 | ||||||||
\(367\) | −2.72949 | −0.142478 | −0.0712391 | − | 0.997459i | \(-0.522695\pi\) | ||||
−0.0712391 | + | 0.997459i | \(0.522695\pi\) | |||||||
\(368\) | −5.20820 | − | 16.0292i | −0.271496 | − | 0.835580i | ||||
\(369\) | −4.00000 | + | 2.90617i | −0.208232 | + | 0.151289i | ||||
\(370\) | −2.11803 | − | 1.53884i | −0.110111 | − | 0.0800006i | ||||
\(371\) | 2.12461 | 0.110304 | ||||||||
\(372\) | 2.04508 | − | 2.76741i | 0.106033 | − | 0.143484i | ||||
\(373\) | −31.6525 | −1.63890 | −0.819452 | − | 0.573148i | \(-0.805722\pi\) | ||||
−0.819452 | + | 0.573148i | \(0.805722\pi\) | |||||||
\(374\) | −29.0344 | − | 21.0948i | −1.50134 | − | 1.09078i | ||||
\(375\) | 3.04508 | − | 2.21238i | 0.157248 | − | 0.114247i | ||||
\(376\) | 3.88197 | + | 11.9475i | 0.200197 | + | 0.616143i | ||||
\(377\) | 11.8328 | 0.609421 | ||||||||
\(378\) | 24.2705 | 1.24834 | ||||||||
\(379\) | 2.60081 | + | 8.00448i | 0.133595 | + | 0.411162i | 0.995369 | − | 0.0961299i | \(-0.0306464\pi\) |
−0.861774 | + | 0.507292i | \(0.830646\pi\) | |||||||
\(380\) | −0.364745 | + | 1.12257i | −0.0187110 | + | 0.0575866i | ||||
\(381\) | −1.78115 | + | 5.48183i | −0.0912512 | + | 0.280842i | ||||
\(382\) | 6.42705 | + | 4.66953i | 0.328837 | + | 0.238914i | ||||
\(383\) | −3.13525 | − | 9.64932i | −0.160204 | − | 0.493057i | 0.838447 | − | 0.544983i | \(-0.183464\pi\) |
−0.998651 | + | 0.0519260i | \(0.983464\pi\) | |||||||
\(384\) | 11.0172 | + | 8.00448i | 0.562220 | + | 0.408477i | ||||
\(385\) | −4.85410 | + | 3.52671i | −0.247388 | + | 0.179738i | ||||
\(386\) | −2.30902 | + | 7.10642i | −0.117526 | + | 0.361707i | ||||
\(387\) | −3.85410 | + | 2.80017i | −0.195915 | + | 0.142341i | ||||
\(388\) | 9.35410 | − | 6.79615i | 0.474883 | − | 0.345022i | ||||
\(389\) | 8.98278 | − | 27.6462i | 0.455445 | − | 1.40172i | −0.415167 | − | 0.909745i | \(-0.636277\pi\) |
0.870612 | − | 0.491970i | \(-0.163723\pi\) | |||||||
\(390\) | 0.927051 | − | 0.673542i | 0.0469431 | − | 0.0341061i | ||||
\(391\) | 11.8992 | + | 8.64527i | 0.601768 | + | 0.437210i | ||||
\(392\) | −1.38197 | − | 4.25325i | −0.0697998 | − | 0.214822i | ||||
\(393\) | −8.97214 | − | 6.51864i | −0.452584 | − | 0.328822i | ||||
\(394\) | −5.20820 | + | 16.0292i | −0.262386 | + | 0.807540i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 2.00000 | + | 6.15537i | 0.100504 | + | 0.309319i | ||||
\(397\) | 29.7082 | 1.49101 | 0.745506 | − | 0.666499i | \(-0.232208\pi\) | ||||
0.745506 | + | 0.666499i | \(0.232208\pi\) | |||||||
\(398\) | −21.5066 | −1.07803 | ||||||||
\(399\) | −4.63525 | − | 14.2658i | −0.232053 | − | 0.714186i | ||||
\(400\) | −19.0623 | + | 13.8496i | −0.953115 | + | 0.692479i | ||||
\(401\) | −19.2812 | − | 14.0086i | −0.962855 | − | 0.699555i | −0.00904282 | − | 0.999959i | \(-0.502878\pi\) |
−0.953812 | + | 0.300404i | \(0.902878\pi\) | |||||||
\(402\) | −0.381966 | −0.0190507 | ||||||||
\(403\) | −6.00000 | − | 8.40051i | −0.298881 | − | 0.418459i | ||||
\(404\) | 5.70820 | 0.283994 | ||||||||
\(405\) | 0.309017 | + | 0.224514i | 0.0153552 | + | 0.0111562i | ||||
\(406\) | 25.0623 | − | 18.2088i | 1.24382 | − | 0.903689i | ||||
\(407\) | 6.85410 | + | 21.0948i | 0.339745 | + | 1.04563i | ||||
\(408\) | −9.47214 | −0.468941 | ||||||||
\(409\) | 16.1803 | 0.800066 | 0.400033 | − | 0.916501i | \(-0.368999\pi\) | ||||
0.400033 | + | 0.916501i | \(0.368999\pi\) | |||||||
\(410\) | 0.472136 | + | 1.45309i | 0.0233171 | + | 0.0717628i | ||||
\(411\) | −0.763932 | + | 2.35114i | −0.0376820 | + | 0.115973i | ||||
\(412\) | −1.30902 | + | 4.02874i | −0.0644906 | + | 0.198482i | ||||
\(413\) | −1.28115 | − | 0.930812i | −0.0630414 | − | 0.0458023i | ||||
\(414\) | −3.47214 | − | 10.6861i | −0.170646 | − | 0.525195i | ||||
\(415\) | 2.19098 | + | 1.59184i | 0.107551 | + | 0.0781405i | ||||
\(416\) | −5.07295 | + | 3.68571i | −0.248722 | + | 0.180707i | ||||
\(417\) | 0.263932 | − | 0.812299i | 0.0129248 | − | 0.0397785i | ||||
\(418\) | 34.2705 | − | 24.8990i | 1.67623 | − | 1.21785i | ||||
\(419\) | 3.61803 | − | 2.62866i | 0.176753 | − | 0.128418i | −0.495891 | − | 0.868385i | \(-0.665159\pi\) |
0.672644 | + | 0.739966i | \(0.265159\pi\) | |||||||
\(420\) | 0.218847 | − | 0.673542i | 0.0106786 | − | 0.0328655i | ||||
\(421\) | −15.5623 | + | 11.3067i | −0.758460 | + | 0.551054i | −0.898438 | − | 0.439101i | \(-0.855297\pi\) |
0.139977 | + | 0.990155i | \(0.455297\pi\) | |||||||
\(422\) | 10.4721 | + | 7.60845i | 0.509776 | + | 0.370374i | ||||
\(423\) | 3.47214 | + | 10.6861i | 0.168821 | + | 0.519578i | ||||
\(424\) | 1.28115 | + | 0.930812i | 0.0622183 | + | 0.0452042i | ||||
\(425\) | 6.35410 | − | 19.5559i | 0.308219 | − | 0.948601i | ||||
\(426\) | 5.54508 | − | 17.0660i | 0.268660 | − | 0.826851i | ||||
\(427\) | 10.1459 | + | 31.2259i | 0.490994 | + | 1.51113i | ||||
\(428\) | −6.23607 | −0.301432 | ||||||||
\(429\) | −9.70820 | −0.468717 | ||||||||
\(430\) | 0.454915 | + | 1.40008i | 0.0219380 | + | 0.0675181i | ||||
\(431\) | −20.0344 | + | 14.5559i | −0.965025 | + | 0.701132i | −0.954312 | − | 0.298811i | \(-0.903410\pi\) |
−0.0107127 | + | 0.999943i | \(0.503410\pi\) | |||||||
\(432\) | 19.6353 | + | 14.2658i | 0.944702 | + | 0.686366i | ||||
\(433\) | 27.4164 | 1.31755 | 0.658774 | − | 0.752341i | \(-0.271075\pi\) | ||||
0.658774 | + | 0.752341i | \(0.271075\pi\) | |||||||
\(434\) | −25.6353 | − | 8.55951i | −1.23053 | − | 0.410870i | ||||
\(435\) | −2.43769 | −0.116878 | ||||||||
\(436\) | −9.20820 | − | 6.69015i | −0.440993 | − | 0.320400i | ||||
\(437\) | −14.0451 | + | 10.2044i | −0.671868 | + | 0.488140i | ||||
\(438\) | −5.78115 | − | 17.7926i | −0.276234 | − | 0.850161i | ||||
\(439\) | −11.8328 | −0.564749 | −0.282375 | − | 0.959304i | \(-0.591122\pi\) | ||||
−0.282375 | + | 0.959304i | \(0.591122\pi\) | |||||||
\(440\) | −4.47214 | −0.213201 | ||||||||
\(441\) | −1.23607 | − | 3.80423i | −0.0588604 | − | 0.181154i | ||||
\(442\) | 3.92705 | − | 12.0862i | 0.186791 | − | 0.574883i | ||||
\(443\) | −0.270510 | + | 0.832544i | −0.0128523 | + | 0.0395553i | −0.957277 | − | 0.289172i | \(-0.906620\pi\) |
0.944425 | + | 0.328728i | \(0.106620\pi\) | |||||||
\(444\) | −2.11803 | − | 1.53884i | −0.100517 | − | 0.0730302i | ||||
\(445\) | 1.01722 | + | 3.13068i | 0.0482209 | + | 0.148409i | ||||
\(446\) | 16.6353 | + | 12.0862i | 0.787702 | + | 0.572299i | ||||
\(447\) | 9.73607 | − | 7.07367i | 0.460500 | − | 0.334573i | ||||
\(448\) | 3.92705 | − | 12.0862i | 0.185536 | − | 0.571020i | ||||
\(449\) | 27.5623 | − | 20.0252i | 1.30075 | − | 0.945047i | 0.300783 | − | 0.953693i | \(-0.402752\pi\) |
0.999963 | + | 0.00864558i | \(0.00275201\pi\) | |||||||
\(450\) | −12.7082 | + | 9.23305i | −0.599070 | + | 0.435250i | ||||
\(451\) | 4.00000 | − | 12.3107i | 0.188353 | − | 0.579690i | ||||
\(452\) | −2.42705 | + | 1.76336i | −0.114159 | + | 0.0829413i | ||||
\(453\) | 14.9721 | + | 10.8779i | 0.703452 | + | 0.511088i | ||||
\(454\) | 10.8713 | + | 33.4585i | 0.510216 | + | 1.57028i | ||||
\(455\) | −1.71885 | − | 1.24882i | −0.0805808 | − | 0.0585454i | ||||
\(456\) | 3.45492 | − | 10.6331i | 0.161791 | − | 0.497942i | ||||
\(457\) | 8.26393 | − | 25.4338i | 0.386570 | − | 1.18974i | −0.548764 | − | 0.835977i | \(-0.684902\pi\) |
0.935335 | − | 0.353764i | \(-0.115098\pi\) | |||||||
\(458\) | −1.38197 | − | 4.25325i | −0.0645750 | − | 0.198742i | ||||
\(459\) | −21.1803 | −0.988614 | ||||||||
\(460\) | −0.819660 | −0.0382168 | ||||||||
\(461\) | −9.80902 | − | 30.1891i | −0.456851 | − | 1.40604i | −0.868948 | − | 0.494904i | \(-0.835203\pi\) |
0.412096 | − | 0.911140i | \(-0.364797\pi\) | |||||||
\(462\) | −20.5623 | + | 14.9394i | −0.956645 | + | 0.695043i | ||||
\(463\) | −7.38197 | − | 5.36331i | −0.343069 | − | 0.249254i | 0.402887 | − | 0.915250i | \(-0.368007\pi\) |
−0.745956 | + | 0.665996i | \(0.768007\pi\) | |||||||
\(464\) | 30.9787 | 1.43815 | ||||||||
\(465\) | 1.23607 | + | 1.73060i | 0.0573213 | + | 0.0802546i | ||||
\(466\) | −9.38197 | −0.434611 | ||||||||
\(467\) | −31.3713 | − | 22.7926i | −1.45169 | − | 1.05472i | −0.985432 | − | 0.170068i | \(-0.945601\pi\) |
−0.466259 | − | 0.884648i | \(-0.654399\pi\) | |||||||
\(468\) | −1.85410 | + | 1.34708i | −0.0857059 | + | 0.0622690i | ||||
\(469\) | 0.218847 | + | 0.673542i | 0.0101054 | + | 0.0311013i | ||||
\(470\) | 3.47214 | 0.160158 | ||||||||
\(471\) | 3.70820 | 0.170865 | ||||||||
\(472\) | −0.364745 | − | 1.12257i | −0.0167888 | − | 0.0516705i | ||||
\(473\) | 3.85410 | − | 11.8617i | 0.177212 | − | 0.545402i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 19.6353 | + | 14.2658i | 0.900927 | + | 0.654562i | ||||
\(476\) | −2.42705 | − | 7.46969i | −0.111244 | − | 0.342373i | ||||
\(477\) | 1.14590 | + | 0.832544i | 0.0524671 | + | 0.0381196i | ||||
\(478\) | −17.5623 | + | 12.7598i | −0.803281 | + | 0.583618i | ||||
\(479\) | 2.76393 | − | 8.50651i | 0.126287 | − | 0.388672i | −0.867846 | − | 0.496833i | \(-0.834496\pi\) |
0.994133 | + | 0.108161i | \(0.0344961\pi\) | |||||||
\(480\) | 1.04508 | − | 0.759299i | 0.0477014 | − | 0.0346571i | ||||
\(481\) | −6.35410 | + | 4.61653i | −0.289722 | + | 0.210495i | ||||
\(482\) | −8.73607 | + | 26.8869i | −0.397917 | + | 1.22466i | ||||
\(483\) | 8.42705 | − | 6.12261i | 0.383444 | − | 0.278588i | ||||
\(484\) | −8.20820 | − | 5.96361i | −0.373100 | − | 0.271073i | ||||
\(485\) | 2.20820 | + | 6.79615i | 0.100269 | + | 0.308597i | ||||
\(486\) | 20.9443 | + | 15.2169i | 0.950051 | + | 0.690253i | ||||
\(487\) | −12.9549 | + | 39.8711i | −0.587043 | + | 1.80673i | 0.00386229 | + | 0.999993i | \(0.498771\pi\) |
−0.590906 | + | 0.806741i | \(0.701229\pi\) | |||||||
\(488\) | −7.56231 | + | 23.2744i | −0.342330 | + | 1.05358i | ||||
\(489\) | −0.218847 | − | 0.673542i | −0.00989661 | − | 0.0304586i | ||||
\(490\) | −1.23607 | −0.0558399 | ||||||||
\(491\) | 21.5967 | 0.974648 | 0.487324 | − | 0.873221i | \(-0.337973\pi\) | ||||
0.487324 | + | 0.873221i | \(0.337973\pi\) | |||||||
\(492\) | 0.472136 | + | 1.45309i | 0.0212855 | + | 0.0655101i | ||||
\(493\) | −21.8713 | + | 15.8904i | −0.985035 | + | 0.715670i | ||||
\(494\) | 12.1353 | + | 8.81678i | 0.545991 | + | 0.396686i | ||||
\(495\) | −4.00000 | −0.179787 | ||||||||
\(496\) | −15.7082 | − | 21.9928i | −0.705319 | − | 0.987506i | ||||
\(497\) | −33.2705 | −1.49239 | ||||||||
\(498\) | 9.28115 | + | 6.74315i | 0.415898 | + | 0.302168i | ||||
\(499\) | −8.78115 | + | 6.37988i | −0.393098 | + | 0.285603i | −0.766724 | − | 0.641977i | \(-0.778114\pi\) |
0.373626 | + | 0.927580i | \(0.378114\pi\) | |||||||
\(500\) | 0.718847 | + | 2.21238i | 0.0321478 | + | 0.0989408i | ||||
\(501\) | 4.76393 | 0.212837 | ||||||||
\(502\) | −27.4164 | −1.22365 | ||||||||
\(503\) | 6.13525 | + | 18.8824i | 0.273557 | + | 0.841923i | 0.989597 | + | 0.143864i | \(0.0459528\pi\) |
−0.716040 | + | 0.698059i | \(0.754047\pi\) | |||||||
\(504\) | 4.14590 | − | 12.7598i | 0.184673 | − | 0.568365i | ||||
\(505\) | −1.09017 | + | 3.35520i | −0.0485119 | + | 0.149304i | ||||
\(506\) | 23.7984 | + | 17.2905i | 1.05797 | + | 0.768658i | ||||
\(507\) | 2.95492 | + | 9.09429i | 0.131232 | + | 0.403892i | ||||
\(508\) | −2.88197 | − | 2.09387i | −0.127867 | − | 0.0929005i | ||||
\(509\) | 10.5902 | − | 7.69421i | 0.469401 | − | 0.341040i | −0.327807 | − | 0.944745i | \(-0.606310\pi\) |
0.797208 | + | 0.603705i | \(0.206310\pi\) | |||||||
\(510\) | −0.809017 | + | 2.48990i | −0.0358239 | + | 0.110255i | ||||
\(511\) | −28.0623 | + | 20.3885i | −1.24140 | + | 0.901932i | ||||
\(512\) | 4.28115 | − | 3.11044i | 0.189202 | − | 0.137463i | ||||
\(513\) | 7.72542 | − | 23.7764i | 0.341086 | − | 1.04975i | ||||
\(514\) | 33.2705 | − | 24.1724i | 1.46750 | − | 1.06620i | ||||
\(515\) | −2.11803 | − | 1.53884i | −0.0933317 | − | 0.0678095i | ||||
\(516\) | 0.454915 | + | 1.40008i | 0.0200265 | + | 0.0616353i | ||||
\(517\) | −23.7984 | − | 17.2905i | −1.04665 | − | 0.760437i | ||||
\(518\) | −6.35410 | + | 19.5559i | −0.279183 | + | 0.859238i | ||||
\(519\) | −3.73607 | + | 11.4984i | −0.163995 | + | 0.504725i | ||||
\(520\) | −0.489357 | − | 1.50609i | −0.0214597 | − | 0.0660462i | ||||
\(521\) | −27.0689 | −1.18591 | −0.592955 | − | 0.805236i | \(-0.702039\pi\) | ||||
−0.592955 | + | 0.805236i | \(0.702039\pi\) | |||||||
\(522\) | 20.6525 | 0.903934 | ||||||||
\(523\) | −1.89261 | − | 5.82485i | −0.0827580 | − | 0.254703i | 0.901112 | − | 0.433586i | \(-0.142752\pi\) |
−0.983870 | + | 0.178883i | \(0.942752\pi\) | |||||||
\(524\) | 5.54508 | − | 4.02874i | 0.242238 | − | 0.175996i | ||||
\(525\) | −11.7812 | − | 8.55951i | −0.514172 | − | 0.373568i | ||||
\(526\) | 22.3262 | 0.973470 | ||||||||
\(527\) | 22.3713 | + | 7.46969i | 0.974510 | + | 0.325385i | ||||
\(528\) | −25.4164 | −1.10611 | ||||||||
\(529\) | 8.85410 | + | 6.43288i | 0.384961 | + | 0.279691i | ||||
\(530\) | 0.354102 | − | 0.257270i | 0.0153812 | − | 0.0111751i | ||||
\(531\) | −0.326238 | − | 1.00406i | −0.0141575 | − | 0.0435724i | ||||
\(532\) | 9.27051 | 0.401928 | ||||||||
\(533\) | 4.58359 | 0.198537 | ||||||||
\(534\) | 4.30902 | + | 13.2618i | 0.186469 | + | 0.573894i | ||||
\(535\) | 1.19098 | − | 3.66547i | 0.0514907 | − | 0.158472i | ||||
\(536\) | −0.163119 | + | 0.502029i | −0.00704567 | + | 0.0216843i | ||||
\(537\) | −3.88197 | − | 2.82041i | −0.167519 | − | 0.121710i | ||||
\(538\) | −1.80902 | − | 5.56758i | −0.0779923 | − | 0.240035i | ||||
\(539\) | 8.47214 | + | 6.15537i | 0.364921 | + | 0.265130i | ||||
\(540\) | 0.954915 | − | 0.693786i | 0.0410930 | − | 0.0298558i | ||||
\(541\) | 6.79837 | − | 20.9232i | 0.292285 | − | 0.899560i | −0.691835 | − | 0.722056i | \(-0.743197\pi\) |
0.984120 | − | 0.177505i | \(-0.0568025\pi\) | |||||||
\(542\) | 13.8262 | − | 10.0453i | 0.593888 | − | 0.431485i | ||||
\(543\) | 13.7533 | − | 9.99235i | 0.590210 | − | 0.428813i | ||||
\(544\) | 4.42705 | − | 13.6251i | 0.189808 | − | 0.584170i | ||||
\(545\) | 5.69098 | − | 4.13474i | 0.243775 | − | 0.177113i | ||||
\(546\) | −7.28115 | − | 5.29007i | −0.311605 | − | 0.226394i | ||||
\(547\) | −3.18034 | − | 9.78808i | −0.135982 | − | 0.418508i | 0.859760 | − | 0.510698i | \(-0.170613\pi\) |
−0.995741 | + | 0.0921904i | \(0.970613\pi\) | |||||||
\(548\) | −1.23607 | − | 0.898056i | −0.0528022 | − | 0.0383630i | ||||
\(549\) | −6.76393 | + | 20.8172i | −0.288678 | + | 0.888458i | ||||
\(550\) | 12.7082 | − | 39.1118i | 0.541880 | − | 1.66773i | ||||
\(551\) | −9.86068 | − | 30.3481i | −0.420079 | − | 1.29287i | ||||
\(552\) | 7.76393 | 0.330455 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −1.16312 | − | 3.57971i | −0.0494162 | − | 0.152087i | ||||
\(555\) | 1.30902 | − | 0.951057i | 0.0555647 | − | 0.0403701i | ||||
\(556\) | 0.427051 | + | 0.310271i | 0.0181110 | + | 0.0131584i | ||||
\(557\) | 0.111456 | 0.00472255 | 0.00236127 | − | 0.999997i | \(-0.499248\pi\) | ||||
0.00236127 | + | 0.999997i | \(0.499248\pi\) | |||||||
\(558\) | −10.4721 | − | 14.6619i | −0.443321 | − | 0.620687i | ||||
\(559\) | 4.41641 | 0.186794 | ||||||||
\(560\) | −4.50000 | − | 3.26944i | −0.190160 | − | 0.138159i | ||||
\(561\) | 17.9443 | − | 13.0373i | 0.757608 | − | 0.550434i | ||||
\(562\) | −5.01722 | − | 15.4414i | −0.211639 | − | 0.651357i | ||||
\(563\) | 11.5623 | 0.487293 | 0.243647 | − | 0.969864i | \(-0.421656\pi\) | ||||
0.243647 | + | 0.969864i | \(0.421656\pi\) | |||||||
\(564\) | 3.47214 | 0.146203 | ||||||||
\(565\) | −0.572949 | − | 1.76336i | −0.0241041 | − | 0.0741849i | ||||
\(566\) | −6.78115 | + | 20.8702i | −0.285033 | + | 0.877242i | ||||
\(567\) | 0.927051 | − | 2.85317i | 0.0389325 | − | 0.119822i | ||||
\(568\) | −20.0623 | − | 14.5761i | −0.841796 | − | 0.611600i | ||||
\(569\) | 7.56231 | + | 23.2744i | 0.317028 | + | 0.975713i | 0.974911 | + | 0.222593i | \(0.0714521\pi\) |
−0.657883 | + | 0.753120i | \(0.728548\pi\) | |||||||
\(570\) | −2.50000 | − | 1.81636i | −0.104713 | − | 0.0760788i | ||||
\(571\) | −5.66312 | + | 4.11450i | −0.236994 | + | 0.172186i | −0.699943 | − | 0.714199i | \(-0.746791\pi\) |
0.462949 | + | 0.886385i | \(0.346791\pi\) | |||||||
\(572\) | 1.85410 | − | 5.70634i | 0.0775239 | − | 0.238594i | ||||
\(573\) | −3.97214 | + | 2.88593i | −0.165938 | + | 0.120561i | ||||
\(574\) | 9.70820 | − | 7.05342i | 0.405213 | − | 0.294404i | ||||
\(575\) | −5.20820 | + | 16.0292i | −0.217197 | + | 0.668464i | ||||
\(576\) | 6.85410 | − | 4.97980i | 0.285588 | − | 0.207492i | ||||
\(577\) | 6.45492 | + | 4.68977i | 0.268722 | + | 0.195238i | 0.713983 | − | 0.700163i | \(-0.246889\pi\) |
−0.445262 | + | 0.895401i | \(0.646889\pi\) | |||||||
\(578\) | 0.472136 | + | 1.45309i | 0.0196383 | + | 0.0604404i | ||||
\(579\) | −3.73607 | − | 2.71441i | −0.155266 | − | 0.112807i | ||||
\(580\) | 0.465558 | − | 1.43284i | 0.0193312 | − | 0.0594955i | ||||
\(581\) | 6.57295 | − | 20.2295i | 0.272692 | − | 0.839259i | ||||
\(582\) | 9.35410 | + | 28.7890i | 0.387740 | + | 1.19334i | ||||
\(583\) | −3.70820 | −0.153578 | ||||||||
\(584\) | −25.8541 | −1.06985 | ||||||||
\(585\) | −0.437694 | − | 1.34708i | −0.0180964 | − | 0.0556951i | ||||
\(586\) | 4.92705 | − | 3.57971i | 0.203535 | − | 0.147877i | ||||
\(587\) | 32.3713 | + | 23.5191i | 1.33611 | + | 0.970739i | 0.999577 | + | 0.0290662i | \(0.00925335\pi\) |
0.336530 | + | 0.941673i | \(0.390747\pi\) | |||||||
\(588\) | −1.23607 | −0.0509746 | ||||||||
\(589\) | −16.5451 | + | 22.3888i | −0.681728 | + | 0.922516i | ||||
\(590\) | −0.326238 | −0.0134310 | ||||||||
\(591\) | −8.42705 | − | 6.12261i | −0.346643 | − | 0.251851i | ||||
\(592\) | −16.6353 | + | 12.0862i | −0.683705 | + | 0.496741i | ||||
\(593\) | 12.9443 | + | 39.8384i | 0.531558 | + | 1.63597i | 0.750972 | + | 0.660334i | \(0.229585\pi\) |
−0.219414 | + | 0.975632i | \(0.570415\pi\) | |||||||
\(594\) | −42.3607 | −1.73808 | ||||||||
\(595\) | 4.85410 | 0.198999 | ||||||||
\(596\) | 2.29837 | + | 7.07367i | 0.0941451 | + | 0.289749i | ||||
\(597\) | 4.10739 | − | 12.6412i | 0.168104 | − | 0.517372i | ||||
\(598\) | −3.21885 | + | 9.90659i | −0.131628 | + | 0.405111i | ||||
\(599\) | −4.20820 | − | 3.05744i | −0.171943 | − | 0.124924i | 0.498486 | − | 0.866898i | \(-0.333890\pi\) |
−0.670428 | + | 0.741974i | \(0.733890\pi\) | |||||||
\(600\) | −3.35410 | − | 10.3229i | −0.136931 | − | 0.421429i | ||||
\(601\) | −17.7984 | − | 12.9313i | −0.726011 | − | 0.527478i | 0.162288 | − | 0.986743i | \(-0.448113\pi\) |
−0.888299 | + | 0.459266i | \(0.848113\pi\) | |||||||
\(602\) | 9.35410 | − | 6.79615i | 0.381245 | − | 0.276991i | ||||
\(603\) | −0.145898 | + | 0.449028i | −0.00594143 | + | 0.0182858i | ||||
\(604\) | −9.25329 | + | 6.72291i | −0.376511 | + | 0.273551i | ||||
\(605\) | 5.07295 | − | 3.68571i | 0.206245 | − | 0.149846i | ||||
\(606\) | −4.61803 | + | 14.2128i | −0.187595 | + | 0.577357i | ||||
\(607\) | −1.14590 | + | 0.832544i | −0.0465106 | + | 0.0337919i | −0.610798 | − | 0.791787i | \(-0.709151\pi\) |
0.564287 | + | 0.825579i | \(0.309151\pi\) | |||||||
\(608\) | 13.6803 | + | 9.93935i | 0.554811 | + | 0.403094i | ||||
\(609\) | 5.91641 | + | 18.2088i | 0.239745 | + | 0.737859i | ||||
\(610\) | 5.47214 | + | 3.97574i | 0.221560 | + | 0.160973i | ||||
\(611\) | 3.21885 | − | 9.90659i | 0.130221 | − | 0.400778i | ||||
\(612\) | 1.61803 | − | 4.97980i | 0.0654051 | − | 0.201296i | ||||
\(613\) | 13.2705 | + | 40.8424i | 0.535991 | + | 1.64961i | 0.741498 | + | 0.670955i | \(0.234115\pi\) |
−0.205508 | + | 0.978656i | \(0.565885\pi\) | |||||||
\(614\) | −8.23607 | −0.332381 | ||||||||
\(615\) | −0.944272 | −0.0380767 | ||||||||
\(616\) | 10.8541 | + | 33.4055i | 0.437324 | + | 1.34595i | ||||
\(617\) | 7.89919 | − | 5.73910i | 0.318009 | − | 0.231047i | −0.417316 | − | 0.908761i | \(-0.637029\pi\) |
0.735326 | + | 0.677714i | \(0.237029\pi\) | |||||||
\(618\) | −8.97214 | − | 6.51864i | −0.360912 | − | 0.262218i | ||||
\(619\) | −40.0000 | −1.60774 | −0.803868 | − | 0.594808i | \(-0.797228\pi\) | ||||
−0.803868 | + | 0.594808i | \(0.797228\pi\) | |||||||
\(620\) | −1.25329 | + | 0.396027i | −0.0503333 | + | 0.0159048i | ||||
\(621\) | 17.3607 | 0.696660 | ||||||||
\(622\) | −9.85410 | − | 7.15942i | −0.395113 | − | 0.287067i | ||||
\(623\) | 20.9164 | − | 15.1967i | 0.837998 | − | 0.608841i | ||||
\(624\) | −2.78115 | − | 8.55951i | −0.111335 | − | 0.342655i | ||||
\(625\) | 22.8328 | 0.913313 | ||||||||
\(626\) | −5.23607 | −0.209275 | ||||||||
\(627\) | 8.09017 | + | 24.8990i | 0.323090 | + | 0.994370i | ||||
\(628\) | −0.708204 | + | 2.17963i | −0.0282604 | + | 0.0869766i | ||||
\(629\) | 5.54508 | − | 17.0660i | 0.221097 | − | 0.680467i | ||||
\(630\) | −3.00000 | − | 2.17963i | −0.119523 | − | 0.0868384i | ||||
\(631\) | −13.0623 | − | 40.2016i | −0.520002 | − | 1.60040i | −0.773992 | − | 0.633195i | \(-0.781743\pi\) |
0.253990 | − | 0.967207i | \(-0.418257\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −6.47214 | + | 4.70228i | −0.257244 | + | 0.186899i | ||||
\(634\) | −4.94427 | + | 15.2169i | −0.196362 | + | 0.604340i | ||||
\(635\) | 1.78115 | − | 1.29408i | 0.0706829 | − | 0.0513541i | ||||
\(636\) | 0.354102 | − | 0.257270i | 0.0140411 | − | 0.0102014i | ||||
\(637\) | −1.14590 | + | 3.52671i | −0.0454021 | + | 0.139733i | ||||
\(638\) | −43.7426 | + | 31.7809i | −1.73179 | + | 1.25822i | ||||
\(639\) | −17.9443 | − | 13.0373i | −0.709864 | − | 0.515747i | ||||
\(640\) | −1.60739 | − | 4.94704i | −0.0635377 | − | 0.195549i | ||||
\(641\) | 24.1976 | + | 17.5806i | 0.955746 | + | 0.694390i | 0.952159 | − | 0.305603i | \(-0.0988581\pi\) |
0.00358727 | + | 0.999994i | \(0.498858\pi\) | |||||||
\(642\) | 5.04508 | − | 15.5272i | 0.199114 | − | 0.612809i | ||||
\(643\) | 4.59017 | − | 14.1271i | 0.181019 | − | 0.557118i | −0.818838 | − | 0.574024i | \(-0.805382\pi\) |
0.999857 | + | 0.0169060i | \(0.00538159\pi\) | |||||||
\(644\) | 1.98936 | + | 6.12261i | 0.0783916 | + | 0.241265i | ||||
\(645\) | −0.909830 | −0.0358245 | ||||||||
\(646\) | −34.2705 | −1.34836 | ||||||||
\(647\) | 1.81966 | + | 5.60034i | 0.0715382 | + | 0.220172i | 0.980433 | − | 0.196854i | \(-0.0630724\pi\) |
−0.908895 | + | 0.417026i | \(0.863072\pi\) | |||||||
\(648\) | 1.80902 | − | 1.31433i | 0.0710649 | − | 0.0516317i | ||||
\(649\) | 2.23607 | + | 1.62460i | 0.0877733 | + | 0.0637711i | ||||
\(650\) | 14.5623 | 0.571181 | ||||||||
\(651\) | 9.92705 | − | 13.4333i | 0.389072 | − | 0.526493i | ||||
\(652\) | 0.437694 | 0.0171414 | ||||||||
\(653\) | −6.75329 | − | 4.90655i | −0.264277 | − | 0.192008i | 0.447754 | − | 0.894157i | \(-0.352224\pi\) |
−0.712030 | + | 0.702149i | \(0.752224\pi\) | |||||||
\(654\) | 24.1074 | − | 17.5150i | 0.942674 | − | 0.684892i | ||||
\(655\) | 1.30902 | + | 4.02874i | 0.0511475 | + | 0.157416i | ||||
\(656\) | 12.0000 | 0.468521 | ||||||||
\(657\) | −23.1246 | −0.902177 | ||||||||
\(658\) | −8.42705 | − | 25.9358i | −0.328521 | − | 1.01108i | ||||
\(659\) | −11.6459 | + | 35.8424i | −0.453660 | + | 1.39622i | 0.419042 | + | 0.907967i | \(0.362366\pi\) |
−0.872701 | + | 0.488254i | \(0.837634\pi\) | |||||||
\(660\) | −0.381966 | + | 1.17557i | −0.0148680 | + | 0.0457590i | ||||
\(661\) | 11.6353 | + | 8.45351i | 0.452559 | + | 0.328803i | 0.790605 | − | 0.612326i | \(-0.209766\pi\) |
−0.338046 | + | 0.941129i | \(0.609766\pi\) | |||||||
\(662\) | −11.1353 | − | 34.2708i | −0.432784 | − | 1.33197i | ||||
\(663\) | 6.35410 | + | 4.61653i | 0.246773 | + | 0.179291i | ||||
\(664\) | 12.8262 | − | 9.31881i | 0.497755 | − | 0.361640i | ||||
\(665\) | −1.77051 | + | 5.44907i | −0.0686574 | + | 0.211306i | ||||
\(666\) | −11.0902 | + | 8.05748i | −0.429735 | + | 0.312221i | ||||
\(667\) | 17.9271 | − | 13.0248i | 0.694138 | − | 0.504321i | ||||
\(668\) | −0.909830 | + | 2.80017i | −0.0352024 | + | 0.108342i | ||||
\(669\) | −10.2812 | + | 7.46969i | −0.397492 | + | 0.288795i | ||||
\(670\) | 0.118034 | + | 0.0857567i | 0.00456005 | + | 0.00331307i | ||||
\(671\) | −17.7082 | − | 54.5002i | −0.683618 | − | 2.10396i | ||||
\(672\) | −8.20820 | − | 5.96361i | −0.316638 | − | 0.230051i | ||||
\(673\) | 6.92705 | − | 21.3193i | 0.267018 | − | 0.821797i | −0.724203 | − | 0.689586i | \(-0.757792\pi\) |
0.991222 | − | 0.132211i | \(-0.0422077\pi\) | |||||||
\(674\) | −13.9894 | + | 43.0548i | −0.538850 | + | 1.65841i | ||||
\(675\) | −7.50000 | − | 23.0826i | −0.288675 | − | 0.888451i | ||||
\(676\) | −5.90983 | −0.227301 | ||||||||
\(677\) | −2.65248 | −0.101943 | −0.0509715 | − | 0.998700i | \(-0.516232\pi\) | ||||
−0.0509715 | + | 0.998700i | \(0.516232\pi\) | |||||||
\(678\) | −2.42705 | − | 7.46969i | −0.0932103 | − | 0.286872i | ||||
\(679\) | 45.4058 | − | 32.9892i | 1.74251 | − | 1.26601i | ||||
\(680\) | 2.92705 | + | 2.12663i | 0.112247 | + | 0.0815524i | ||||
\(681\) | −21.7426 | −0.833180 | ||||||||
\(682\) | 44.7426 | + | 14.9394i | 1.71328 | + | 0.572059i | ||||
\(683\) | 27.9443 | 1.06926 | 0.534629 | − | 0.845087i | \(-0.320451\pi\) | ||||
0.534629 | + | 0.845087i | \(0.320451\pi\) | |||||||
\(684\) | 5.00000 | + | 3.63271i | 0.191180 | + | 0.138900i | ||||
\(685\) | 0.763932 | − | 0.555029i | 0.0291883 | − | 0.0212066i | ||||
\(686\) | −7.50000 | − | 23.0826i | −0.286351 | − | 0.881299i | ||||
\(687\) | 2.76393 | 0.105451 | ||||||||
\(688\) | 11.5623 | 0.440809 | ||||||||
\(689\) | −0.405765 | − | 1.24882i | −0.0154584 | − | 0.0475761i | ||||
\(690\) | 0.663119 | − | 2.04087i | 0.0252445 | − | 0.0776946i | ||||
\(691\) | −15.3992 | + | 47.3938i | −0.585813 | + | 1.80295i | 0.0101694 | + | 0.999948i | \(0.496763\pi\) |
−0.595982 | + | 0.802998i | \(0.703237\pi\) | |||||||
\(692\) | −6.04508 | − | 4.39201i | −0.229800 | − | 0.166959i | ||||
\(693\) | 9.70820 | + | 29.8788i | 0.368784 | + | 1.13500i | ||||
\(694\) | 42.0517 | + | 30.5523i | 1.59626 | + | 1.15975i | ||||
\(695\) | −0.263932 | + | 0.191758i | −0.0100115 | + | 0.00727379i | ||||
\(696\) | −4.40983 | + | 13.5721i | −0.167154 | + | 0.514448i | ||||
\(697\) | −8.47214 | + | 6.15537i | −0.320905 | + | 0.233151i | ||||
\(698\) | 4.30902 | − | 3.13068i | 0.163099 | − | 0.118498i | ||||
\(699\) | 1.79180 | − | 5.51458i | 0.0677720 | − | 0.208581i | ||||
\(700\) | 7.28115 | − | 5.29007i | 0.275202 | − | 0.199946i | ||||
\(701\) | 0.781153 | + | 0.567541i | 0.0295037 | + | 0.0214357i | 0.602439 | − | 0.798165i | \(-0.294196\pi\) |
−0.572936 | + | 0.819600i | \(0.694196\pi\) | |||||||
\(702\) | −4.63525 | − | 14.2658i | −0.174946 | − | 0.538430i | ||||
\(703\) | 17.1353 | + | 12.4495i | 0.646268 | + | 0.469541i | ||||
\(704\) | −6.85410 | + | 21.0948i | −0.258324 | + | 0.795039i | ||||
\(705\) | −0.663119 | + | 2.04087i | −0.0249745 | + | 0.0768636i | ||||
\(706\) | −17.3090 | − | 53.2717i | −0.651433 | − | 2.00491i | ||||
\(707\) | 27.7082 | 1.04207 | ||||||||
\(708\) | −0.326238 | −0.0122608 | ||||||||
\(709\) | 3.35410 | + | 10.3229i | 0.125966 | + | 0.387683i | 0.994076 | − | 0.108689i | \(-0.0346652\pi\) |
−0.868110 | + | 0.496372i | \(0.834665\pi\) | |||||||
\(710\) | −5.54508 | + | 4.02874i | −0.208103 | + | 0.151196i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 19.2705 | 0.722193 | ||||||||
\(713\) | −18.3369 | − | 6.12261i | −0.686722 | − | 0.229294i | ||||
\(714\) | 20.5623 | 0.769525 | ||||||||
\(715\) | 3.00000 | + | 2.17963i | 0.112194 | + | 0.0815134i | ||||
\(716\) | 2.39919 | − | 1.74311i | 0.0896618 | − | 0.0651431i | ||||
\(717\) | −4.14590 | − | 12.7598i | −0.154831 | − | 0.476522i | ||||
\(718\) | −15.6525 | −0.584145 | ||||||||
\(719\) | −43.6180 | −1.62668 | −0.813339 | − | 0.581790i | \(-0.802353\pi\) | ||||
−0.813339 | + | 0.581790i | \(0.802353\pi\) | |||||||
\(720\) | −1.14590 | − | 3.52671i | −0.0427051 | − | 0.131433i | ||||
\(721\) | −6.35410 | + | 19.5559i | −0.236639 | + | 0.728300i | ||||
\(722\) | 3.00000 | − | 9.23305i | 0.111648 | − | 0.343619i | ||||
\(723\) | −14.1353 | − | 10.2699i | −0.525696 | − | 0.381940i | ||||
\(724\) | 3.24671 | + | 9.99235i | 0.120663 | + | 0.371363i | ||||
\(725\) | −25.0623 | − | 18.2088i | −0.930791 | − | 0.676259i | ||||
\(726\) | 21.4894 | − | 15.6129i | 0.797545 | − | 0.579450i | ||||
\(727\) | 9.21885 | − | 28.3727i | 0.341908 | − | 1.05228i | −0.621310 | − | 0.783565i | \(-0.713399\pi\) |
0.963218 | − | 0.268720i | \(-0.0866007\pi\) | |||||||
\(728\) | −10.0623 | + | 7.31069i | −0.372934 | + | 0.270952i | ||||
\(729\) | −10.5172 | + | 7.64121i | −0.389527 | + | 0.283008i | ||||
\(730\) | −2.20820 | + | 6.79615i | −0.0817293 | + | 0.251537i | ||||
\(731\) | −8.16312 | + | 5.93085i | −0.301924 | + | 0.219361i | ||||
\(732\) | 5.47214 | + | 3.97574i | 0.202256 | + | 0.146948i | ||||
\(733\) | 3.10739 | + | 9.56357i | 0.114774 | + | 0.353238i | 0.991900 | − | 0.127022i | \(-0.0405420\pi\) |
−0.877126 | + | 0.480261i | \(0.840542\pi\) | |||||||
\(734\) | 3.57295 | + | 2.59590i | 0.131880 | + | 0.0958164i | ||||
\(735\) | 0.236068 | − | 0.726543i | 0.00870750 | − | 0.0267989i | ||||
\(736\) | −3.62868 | + | 11.1679i | −0.133755 | + | 0.411655i | ||||
\(737\) | −0.381966 | − | 1.17557i | −0.0140699 | − | 0.0433027i | ||||
\(738\) | 8.00000 | 0.294484 | ||||||||
\(739\) | 8.29180 | 0.305019 | 0.152509 | − | 0.988302i | \(-0.451265\pi\) | ||||
0.152509 | + | 0.988302i | \(0.451265\pi\) | |||||||
\(740\) | 0.309017 | + | 0.951057i | 0.0113597 | + | 0.0349615i | ||||
\(741\) | −7.50000 | + | 5.44907i | −0.275519 | + | 0.200177i | ||||
\(742\) | −2.78115 | − | 2.02063i | −0.102099 | − | 0.0741795i | ||||
\(743\) | −23.5623 | −0.864417 | −0.432209 | − | 0.901774i | \(-0.642266\pi\) | ||||
−0.432209 | + | 0.901774i | \(0.642266\pi\) | |||||||
\(744\) | 11.8713 | − | 3.75123i | 0.435224 | − | 0.137527i | ||||
\(745\) | −4.59675 | −0.168412 | ||||||||
\(746\) | 41.4336 | + | 30.1033i | 1.51699 | + | 1.10216i | ||||
\(747\) | 11.4721 | − | 8.33499i | 0.419744 | − | 0.304962i | ||||
\(748\) | 4.23607 | + | 13.0373i | 0.154886 | + | 0.476690i | ||||
\(749\) | −30.2705 | −1.10606 | ||||||||
\(750\) | −6.09017 | −0.222382 | ||||||||
\(751\) | 4.27458 | + | 13.1558i | 0.155981 | + | 0.480062i | 0.998259 | − | 0.0589825i | \(-0.0187856\pi\) |
−0.842278 | + | 0.539044i | \(0.818786\pi\) | |||||||
\(752\) | 8.42705 | − | 25.9358i | 0.307303 | − | 0.945781i | ||||
\(753\) | 5.23607 | − | 16.1150i | 0.190813 | − | 0.587262i | ||||
\(754\) | −15.4894 | − | 11.2537i | −0.564089 | − | 0.409835i | ||||
\(755\) | −2.18441 | − | 6.72291i | −0.0794986 | − | 0.244672i | ||||
\(756\) | −7.50000 | − | 5.44907i | −0.272772 | − | 0.198181i | ||||
\(757\) | −2.32624 | + | 1.69011i | −0.0845486 | + | 0.0614281i | −0.629257 | − | 0.777198i | \(-0.716641\pi\) |
0.544708 | + | 0.838626i | \(0.316641\pi\) | |||||||
\(758\) | 4.20820 | − | 12.9515i | 0.152849 | − | 0.470420i | ||||
\(759\) | −14.7082 | + | 10.6861i | −0.533874 | + | 0.387882i | ||||
\(760\) | −3.45492 | + | 2.51014i | −0.125323 | + | 0.0910524i | ||||
\(761\) | −10.6631 | + | 32.8177i | −0.386538 | + | 1.18964i | 0.548821 | + | 0.835940i | \(0.315077\pi\) |
−0.935359 | + | 0.353701i | \(0.884923\pi\) | |||||||
\(762\) | 7.54508 | − | 5.48183i | 0.273330 | − | 0.198586i | ||||
\(763\) | −44.6976 | − | 32.4747i | −1.61816 | − | 1.17566i | ||||
\(764\) | −0.937694 | − | 2.88593i | −0.0339246 | − | 0.104409i | ||||
\(765\) | 2.61803 | + | 1.90211i | 0.0946552 | + | 0.0687710i | ||||
\(766\) | −5.07295 | + | 15.6129i | −0.183293 | + | 0.564118i | ||||
\(767\) | −0.302439 | + | 0.930812i | −0.0109204 | + | 0.0336097i | ||||
\(768\) | −4.19098 | − | 12.8985i | −0.151229 | − | 0.465435i | ||||
\(769\) | −11.2574 | −0.405951 | −0.202975 | − | 0.979184i | \(-0.565061\pi\) | ||||
−0.202975 | + | 0.979184i | \(0.565061\pi\) | |||||||
\(770\) | 9.70820 | 0.349859 | ||||||||
\(771\) | 7.85410 | + | 24.1724i | 0.282859 | + | 0.870549i | ||||
\(772\) | 2.30902 | − | 1.67760i | 0.0831033 | − | 0.0603781i | ||||
\(773\) | 6.39919 | + | 4.64928i | 0.230163 | + | 0.167223i | 0.696889 | − | 0.717179i | \(-0.254567\pi\) |
−0.466727 | + | 0.884402i | \(0.654567\pi\) | |||||||
\(774\) | 7.70820 | 0.277066 | ||||||||
\(775\) | −0.218847 | + | 27.0256i | −0.00786122 | + | 0.970789i | ||||
\(776\) | 41.8328 | 1.50171 | ||||||||
\(777\) | −10.2812 | − | 7.46969i | −0.368834 | − | 0.267974i | ||||
\(778\) | −38.0517 | + | 27.6462i | −1.36422 | + | 0.991163i | ||||
\(779\) | −3.81966 | − | 11.7557i | −0.136854 | − | 0.421192i | ||||
\(780\) | −0.437694 | −0.0156720 | ||||||||
\(781\) | 58.0689 | 2.07787 | ||||||||
\(782\) | −7.35410 | − | 22.6336i | −0.262982 | − | 0.809376i | ||||
\(783\) | −9.86068 | + | 30.3481i | −0.352392 | + | 1.08455i | ||||
\(784\) | −3.00000 | + | 9.23305i | −0.107143 | + | 0.329752i | ||||
\(785\) | −1.14590 | − | 0.832544i | −0.0408989 | − | 0.0297148i | ||||
\(786\) | 5.54508 | + | 17.0660i | 0.197787 | + | 0.608725i | ||||
\(787\) | −36.1697 | − | 26.2788i | −1.28931 | − | 0.936739i | −0.289519 | − | 0.957172i | \(-0.593495\pi\) |
−0.999791 | + | 0.0204333i | \(0.993495\pi\) | |||||||
\(788\) | 5.20820 | − | 3.78398i | 0.185535 | − | 0.134799i | ||||
\(789\) | −4.26393 | + | 13.1230i | −0.151800 | + | 0.467192i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −11.7812 | + | 8.55951i | −0.418890 | + | 0.304341i | ||||
\(792\) | −7.23607 | + | 22.2703i | −0.257122 | + | 0.791342i | ||||
\(793\) | 16.4164 | − | 11.9272i | 0.582964 | − | 0.423548i | ||||
\(794\) | −38.8885 | − | 28.2542i | −1.38010 | − | 1.00270i | ||||
\(795\) | 0.0835921 | + | 0.257270i | 0.00296471 | + | 0.00912443i | ||||
\(796\) | 6.64590 | + | 4.82853i | 0.235558 | + | 0.171143i | ||||
\(797\) | 8.32624 | − | 25.6255i | 0.294930 | − | 0.907703i | −0.688314 | − | 0.725413i | \(-0.741649\pi\) |
0.983245 | − | 0.182290i | \(-0.0583510\pi\) | |||||||
\(798\) | −7.50000 | + | 23.0826i | −0.265497 | + | 0.817116i | ||||
\(799\) | 7.35410 | + | 22.6336i | 0.260169 | + | 0.800719i | ||||
\(800\) | 16.4164 | 0.580408 | ||||||||
\(801\) | 17.2361 | 0.609007 | ||||||||
\(802\) | 11.9164 | + | 36.6749i | 0.420783 | + | 1.29504i | ||||
\(803\) | 48.9787 | − | 35.5851i | 1.72842 | − | 1.25577i | ||||
\(804\) | 0.118034 | + | 0.0857567i | 0.00416274 | + | 0.00302441i | ||||
\(805\) | −3.97871 | −0.140231 | ||||||||
\(806\) | −0.135255 | + | 16.7027i | −0.00476415 | + | 0.588329i | ||||
\(807\) | 3.61803 | 0.127361 | ||||||||
\(808\) | 16.7082 | + | 12.1392i | 0.587793 | + | 0.427056i | ||||
\(809\) | −24.4336 | + | 17.7521i | −0.859041 | + | 0.624130i | −0.927624 | − | 0.373516i | \(-0.878152\pi\) |
0.0685832 | + | 0.997645i | \(0.478152\pi\) | |||||||
\(810\) | −0.190983 | − | 0.587785i | −0.00671046 | − | 0.0206527i | ||||
\(811\) | −28.7771 | −1.01050 | −0.505250 | − | 0.862973i | \(-0.668600\pi\) | ||||
−0.505250 | + | 0.862973i | \(0.668600\pi\) | |||||||
\(812\) | −11.8328 | −0.415250 | ||||||||
\(813\) | 3.26393 | + | 10.0453i | 0.114471 | + | 0.352306i | ||||
\(814\) | 11.0902 | − | 34.1320i | 0.388710 | − | 1.19633i | ||||
\(815\) | −0.0835921 | + | 0.257270i | −0.00292810 | + | 0.00901178i | ||||
\(816\) | 16.6353 | + | 12.0862i | 0.582350 | + | 0.423102i | ||||
\(817\) | −3.68034 | − | 11.3269i | −0.128759 | − | 0.396279i | ||||
\(818\) | −21.1803 | − | 15.3884i | −0.740553 | − | 0.538043i | ||||
\(819\) | −9.00000 | + | 6.53888i | −0.314485 | + | 0.228487i | ||||
\(820\) | 0.180340 | − | 0.555029i | 0.00629774 | − | 0.0193825i | ||||
\(821\) | 19.0344 | − | 13.8293i | 0.664307 | − | 0.482647i | −0.203808 | − | 0.979011i | \(-0.565332\pi\) |
0.868115 | + | 0.496364i | \(0.165332\pi\) | |||||||
\(822\) | 3.23607 | − | 2.35114i | 0.112871 | − | 0.0820055i | ||||
\(823\) | 10.5451 | − | 32.4544i | 0.367579 | − | 1.13129i | −0.580772 | − | 0.814066i | \(-0.697249\pi\) |
0.948351 | − | 0.317224i | \(-0.102751\pi\) | |||||||
\(824\) | −12.3992 | + | 9.00854i | −0.431946 | + | 0.313827i | ||||
\(825\) | 20.5623 | + | 14.9394i | 0.715888 | + | 0.520123i | ||||
\(826\) | 0.791796 | + | 2.43690i | 0.0275501 | + | 0.0847905i | ||||
\(827\) | −14.8262 | − | 10.7719i | −0.515559 | − | 0.374575i | 0.299369 | − | 0.954137i | \(-0.403224\pi\) |
−0.814928 | + | 0.579562i | \(0.803224\pi\) | |||||||
\(828\) | −1.32624 | + | 4.08174i | −0.0460900 | + | 0.141850i | ||||
\(829\) | −2.56231 | + | 7.88597i | −0.0889926 | + | 0.273891i | −0.985642 | − | 0.168851i | \(-0.945994\pi\) |
0.896649 | + | 0.442742i | \(0.145994\pi\) | |||||||
\(830\) | −1.35410 | − | 4.16750i | −0.0470016 | − | 0.144656i | ||||
\(831\) | 2.32624 | 0.0806963 | ||||||||
\(832\) | −7.85410 | −0.272292 | ||||||||
\(833\) | −2.61803 | − | 8.05748i | −0.0907095 | − | 0.279175i | ||||
\(834\) | −1.11803 | + | 0.812299i | −0.0387144 | + | 0.0281276i | ||||
\(835\) | −1.47214 | − | 1.06957i | −0.0509454 | − | 0.0370140i | ||||
\(836\) | −16.1803 | −0.559609 | ||||||||
\(837\) | 26.5451 | − | 8.38800i | 0.917532 | − | 0.289932i | ||||
\(838\) | −7.23607 | −0.249966 | ||||||||
\(839\) | 9.04508 | + | 6.57164i | 0.312271 | + | 0.226878i | 0.732870 | − | 0.680368i | \(-0.238180\pi\) |
−0.420599 | + | 0.907246i | \(0.638180\pi\) | |||||||
\(840\) | 2.07295 | − | 1.50609i | 0.0715235 | − | 0.0519649i | ||||
\(841\) | 3.62461 | + | 11.1554i | 0.124987 | + | 0.384669i | ||||
\(842\) | 31.1246 | 1.07262 | ||||||||
\(843\) | 10.0344 | 0.345605 | ||||||||
\(844\) | −1.52786 | − | 4.70228i | −0.0525912 | − | 0.161859i | ||||
\(845\) | 1.12868 | − | 3.47371i | 0.0388277 | − | 0.119499i | ||||
\(846\) | 5.61803 | − | 17.2905i | 0.193152 | − | 0.594461i | ||||
\(847\) | −39.8435 | − | 28.9480i | −1.36904 | − | 0.994664i | ||||
\(848\) | −1.06231 | − | 3.26944i | −0.0364797 | − | 0.112273i | ||||
\(849\) | −10.9721 | − | 7.97172i | −0.376563 | − | 0.273589i | ||||
\(850\) | −26.9164 | + | 19.5559i | −0.923225 | + | 0.670762i | ||||
\(851\) | −4.54508 | + | 13.9883i | −0.155804 | + | 0.479514i | ||||
\(852\) | −5.54508 | + | 4.02874i | −0.189971 | + | 0.138022i | ||||
\(853\) | −3.23607 | + | 2.35114i | −0.110801 | + | 0.0805015i | −0.641806 | − | 0.766867i | \(-0.721815\pi\) |
0.531005 | + | 0.847369i | \(0.321815\pi\) | |||||||
\(854\) | 16.4164 | − | 50.5245i | 0.561758 | − | 1.72891i | ||||
\(855\) | −3.09017 | + | 2.24514i | −0.105682 | + | 0.0767822i | ||||
\(856\) | −18.2533 | − | 13.2618i | −0.623885 | − | 0.453279i | ||||
\(857\) | 4.38197 | + | 13.4863i | 0.149685 | + | 0.460683i | 0.997584 | − | 0.0694751i | \(-0.0221324\pi\) |
−0.847899 | + | 0.530158i | \(0.822132\pi\) | |||||||
\(858\) | 12.7082 | + | 9.23305i | 0.433851 | + | 0.315211i | ||||
\(859\) | 17.5238 | − | 53.9327i | 0.597904 | − | 1.84016i | 0.0582010 | − | 0.998305i | \(-0.481464\pi\) |
0.539703 | − | 0.841855i | \(-0.318536\pi\) | |||||||
\(860\) | 0.173762 | − | 0.534785i | 0.00592524 | − | 0.0182360i | ||||
\(861\) | 2.29180 | + | 7.05342i | 0.0781042 | + | 0.240380i | ||||
\(862\) | 40.0689 | 1.36475 | ||||||||
\(863\) | 40.5066 | 1.37886 | 0.689430 | − | 0.724352i | \(-0.257861\pi\) | ||||
0.689430 | + | 0.724352i | \(0.257861\pi\) | |||||||
\(864\) | −5.22542 | − | 16.0822i | −0.177773 | − | 0.547128i | ||||
\(865\) | 3.73607 | − | 2.71441i | 0.127030 | − | 0.0922928i | ||||
\(866\) | −35.8885 | − | 26.0746i | −1.21954 | − | 0.886049i | ||||
\(867\) | −0.944272 | −0.0320692 | ||||||||
\(868\) | 6.00000 | + | 8.40051i | 0.203653 | + | 0.285132i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 3.19098 | + | 2.31838i | 0.108184 | + | 0.0786006i | ||||
\(871\) | 0.354102 | − | 0.257270i | 0.0119983 | − | 0.00871727i | ||||
\(872\) | −12.7254 | − | 39.1648i | −0.430937 | − | 1.32629i | ||||
\(873\) | 37.4164 | 1.26635 | ||||||||
\(874\) | 28.0902 | 0.950164 | ||||||||
\(875\) | 3.48936 | + | 10.7391i | 0.117962 | + | 0.363049i | ||||
\(876\) | −2.20820 | + | 6.79615i | −0.0746083 | + | 0.229621i | ||||
\(877\) | 9.18034 | − | 28.2542i | 0.309998 | − | 0.954076i | −0.667767 | − | 0.744371i | \(-0.732750\pi\) |
0.977765 | − | 0.209705i | \(-0.0672504\pi\) | |||||||
\(878\) | 15.4894 | + | 11.2537i | 0.522740 | + | 0.379793i | ||||
\(879\) | 1.16312 | + | 3.57971i | 0.0392310 | + | 0.120741i | ||||
\(880\) | 7.85410 | + | 5.70634i | 0.264762 | + | 0.192361i | ||||
\(881\) | −23.7533 | + | 17.2578i | −0.800269 | + | 0.581429i | −0.910993 | − | 0.412422i | \(-0.864683\pi\) |
0.110724 | + | 0.993851i | \(0.464683\pi\) | |||||||
\(882\) | −2.00000 | + | 6.15537i | −0.0673435 | + | 0.207262i | ||||
\(883\) | 0.809017 | − | 0.587785i | 0.0272256 | − | 0.0197805i | −0.574089 | − | 0.818793i | \(-0.694644\pi\) |
0.601315 | + | 0.799012i | \(0.294644\pi\) | |||||||
\(884\) | −3.92705 | + | 2.85317i | −0.132081 | + | 0.0959625i | ||||
\(885\) | 0.0623059 | − | 0.191758i | 0.00209439 | − | 0.00644587i | ||||
\(886\) | 1.14590 | − | 0.832544i | 0.0384972 | − | 0.0279699i | ||||
\(887\) | 38.9164 | + | 28.2744i | 1.30669 | + | 0.949362i | 0.999997 | − | 0.00244778i | \(-0.000779154\pi\) |
0.306688 | + | 0.951810i | \(0.400779\pi\) | |||||||
\(888\) | −2.92705 | − | 9.00854i | −0.0982254 | − | 0.302307i | ||||
\(889\) | −13.9894 | − | 10.1639i | −0.469188 | − | 0.340885i | ||||
\(890\) | 1.64590 | − | 5.06555i | 0.0551706 | − | 0.169798i | ||||
\(891\) | −1.61803 | + | 4.97980i | −0.0542062 | + | 0.166829i | ||||
\(892\) | −2.42705 | − | 7.46969i | −0.0812637 | − | 0.250104i | ||||
\(893\) | −28.0902 | −0.940002 | ||||||||
\(894\) | −19.4721 | −0.651246 | ||||||||
\(895\) | 0.566371 | + | 1.74311i | 0.0189317 | + | 0.0582658i | ||||
\(896\) | −33.0517 | + | 24.0134i | −1.10418 | + | 0.802233i | ||||
\(897\) | −5.20820 | − | 3.78398i | −0.173897 | − | 0.126343i | ||||
\(898\) | −55.1246 | −1.83953 | ||||||||
\(899\) | 21.1180 | − | 28.5770i | 0.704326 | − | 0.953095i | ||||
\(900\) | 6.00000 | 0.200000 | ||||||||
\(901\) | 2.42705 | + | 1.76336i | 0.0808568 | + | 0.0587459i | ||||
\(902\) | −16.9443 | + | 12.3107i | −0.564183 | + | 0.409903i | ||||
\(903\) | 2.20820 | + | 6.79615i | 0.0734844 | + | 0.226162i | ||||
\(904\) | −10.8541 | −0.361002 | ||||||||
\(905\) | −6.49342 | −0.215849 | ||||||||
\(906\) | −9.25329 | − | 28.4787i | −0.307420 | − | 0.946141i | ||||
\(907\) | −3.68441 | + | 11.3394i | −0.122339 | + | 0.376520i | −0.993407 | − | 0.114642i | \(-0.963428\pi\) |
0.871068 | + | 0.491162i | \(0.163428\pi\) | |||||||
\(908\) | 4.15248 | − | 12.7800i | 0.137805 | − | 0.424119i | ||||
\(909\) | 14.9443 | + | 10.8576i | 0.495670 | + | 0.360125i | ||||
\(910\) | 1.06231 | + | 3.26944i | 0.0352151 | + | 0.108381i | ||||
\(911\) | 11.4721 | + | 8.33499i | 0.380089 | + | 0.276151i | 0.761382 | − | 0.648303i | \(-0.224521\pi\) |
−0.381293 | + | 0.924454i | \(0.624521\pi\) | |||||||
\(912\) | −19.6353 | + | 14.2658i | −0.650188 | + | 0.472389i | ||||
\(913\) | −11.4721 | + | 35.3076i | −0.379672 | + | 1.16851i | ||||
\(914\) | −35.0066 | + | 25.4338i | −1.15791 | + | 0.841274i | ||||
\(915\) | −3.38197 | + | 2.45714i | −0.111804 | + | 0.0812306i | ||||
\(916\) | −0.527864 | + | 1.62460i | −0.0174411 | + | 0.0536782i | ||||
\(917\) | 26.9164 | − | 19.5559i | 0.888858 | − | 0.645793i | ||||
\(918\) | 27.7254 | + | 20.1437i | 0.915075 | + | 0.664841i | ||||
\(919\) | 15.4894 | + | 47.6713i | 0.510947 | + | 1.57253i | 0.790538 | + | 0.612413i | \(0.209801\pi\) |
−0.279591 | + | 0.960119i | \(0.590199\pi\) | |||||||
\(920\) | −2.39919 | − | 1.74311i | −0.0790989 | − | 0.0574687i | ||||
\(921\) | 1.57295 | − | 4.84104i | 0.0518304 | − | 0.159518i | ||||
\(922\) | −15.8713 | + | 48.8469i | −0.522694 | + | 1.60869i | ||||
\(923\) | 6.35410 | + | 19.5559i | 0.209148 | + | 0.643691i | ||||
\(924\) | 9.70820 | 0.319376 | ||||||||
\(925\) | 20.5623 | 0.676084 | ||||||||
\(926\) | 4.56231 | + | 14.0413i | 0.149927 | + | 0.461427i | ||||
\(927\) | −11.0902 | + | 8.05748i | −0.364249 | + | 0.264642i | ||||
\(928\) | −17.4615 | − | 12.6865i | −0.573202 | − | 0.416455i | ||||
\(929\) | −33.5410 | −1.10045 | −0.550223 | − | 0.835018i | \(-0.685457\pi\) | ||||
−0.550223 | + | 0.835018i | \(0.685457\pi\) | |||||||
\(930\) | 0.0278640 | − | 3.44095i | 0.000913698 | − | 0.112833i | ||||
\(931\) | 10.0000 | 0.327737 | ||||||||
\(932\) | 2.89919 | + | 2.10638i | 0.0949660 | + | 0.0689969i | ||||
\(933\) | 6.09017 | − | 4.42477i | 0.199383 | − | 0.144860i | ||||
\(934\) | 19.3885 | + | 59.6718i | 0.634413 | + | 1.95252i | ||||
\(935\) | −8.47214 | −0.277068 | ||||||||
\(936\) | −8.29180 | −0.271026 | ||||||||
\(937\) | −13.7467 | − | 42.3080i | −0.449085 | − | 1.38214i | −0.877941 | − | 0.478770i | \(-0.841083\pi\) |
0.428855 | − | 0.903373i | \(-0.358917\pi\) | |||||||
\(938\) | 0.354102 | − | 1.08981i | 0.0115618 | − | 0.0355837i | ||||
\(939\) | 1.00000 | − | 3.07768i | 0.0326338 | − | 0.100436i | ||||
\(940\) | −1.07295 | − | 0.779543i | −0.0349957 | − | 0.0254259i | ||||
\(941\) | 17.1246 | + | 52.7041i | 0.558246 | + | 1.71811i | 0.687212 | + | 0.726457i | \(0.258834\pi\) |
−0.128966 | + | 0.991649i | \(0.541166\pi\) | |||||||
\(942\) | −4.85410 | − | 3.52671i | −0.158155 | − | 0.114906i | ||||
\(943\) | 6.94427 | − | 5.04531i | 0.226137 | − | 0.164298i | ||||
\(944\) | −0.791796 | + | 2.43690i | −0.0257708 | + | 0.0793143i | ||||
\(945\) | 4.63525 | − | 3.36771i | 0.150785 | − | 0.109552i | ||||
\(946\) | −16.3262 | + | 11.8617i | −0.530812 | + | 0.385657i | ||||
\(947\) | −11.1459 | + | 34.3035i | −0.362193 | + | 1.11472i | 0.589527 | + | 0.807749i | \(0.299314\pi\) |
−0.951720 | + | 0.306967i | \(0.900686\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 17.3435 | + | 12.6008i | 0.562992 | + | 0.409038i | ||||
\(950\) | −12.1353 | − | 37.3485i | −0.393720 | − | 1.21174i | ||||
\(951\) | −8.00000 | − | 5.81234i | −0.259418 | − | 0.188478i | ||||
\(952\) | 8.78115 | − | 27.0256i | 0.284599 | − | 0.875905i | ||||
\(953\) | −2.84752 | + | 8.76378i | −0.0922404 | + | 0.283887i | −0.986525 | − | 0.163613i | \(-0.947685\pi\) |
0.894284 | + | 0.447499i | \(0.147685\pi\) | |||||||
\(954\) | −0.708204 | − | 2.17963i | −0.0229289 | − | 0.0705680i | ||||
\(955\) | 1.87539 | 0.0606861 | ||||||||
\(956\) | 8.29180 | 0.268176 | ||||||||
\(957\) | −10.3262 | − | 31.7809i | −0.333800 | − | 1.02733i | ||||
\(958\) | −11.7082 | + | 8.50651i | −0.378275 | + | 0.274833i | ||||
\(959\) | −6.00000 | − | 4.35926i | −0.193750 | − | 0.140768i | ||||
\(960\) | 1.61803 | 0.0522218 | ||||||||
\(961\) | −30.9959 | − | 0.502029i | −0.999869 | − | 0.0161945i | ||||
\(962\) | 12.7082 | 0.409729 | ||||||||
\(963\) | −16.3262 | − | 11.8617i | −0.526106 | − | 0.382238i | ||||
\(964\) | 8.73607 | − | 6.34712i | 0.281370 | − | 0.204427i | ||||
\(965\) | 0.545085 | + | 1.67760i | 0.0175469 | + | 0.0540038i | ||||
\(966\) | −16.8541 | −0.542272 | ||||||||
\(967\) | 12.3475 | 0.397070 | 0.198535 | − | 0.980094i | \(-0.436382\pi\) | ||||
0.198535 | + | 0.980094i | \(0.436382\pi\) | |||||||
\(968\) | −11.3435 | − | 34.9116i | −0.364593 | − | 1.12210i | ||||
\(969\) | 6.54508 | − | 20.1437i | 0.210258 | − | 0.647109i | ||||
\(970\) | 3.57295 | − | 10.9964i | 0.114720 | − | 0.353073i | ||||
\(971\) | 0.354102 | + | 0.257270i | 0.0113637 | + | 0.00825619i | 0.593453 | − | 0.804869i | \(-0.297764\pi\) |
−0.582089 | + | 0.813125i | \(0.697764\pi\) | |||||||
\(972\) | −3.05573 | − | 9.40456i | −0.0980125 | − | 0.301652i | ||||
\(973\) | 2.07295 | + | 1.50609i | 0.0664557 | + | 0.0482829i | ||||
\(974\) | 54.8779 | − | 39.8711i | 1.75840 | − | 1.27755i | ||||
\(975\) | −2.78115 | + | 8.55951i | −0.0890682 | + | 0.274124i | ||||
\(976\) | 42.9787 | − | 31.2259i | 1.37572 | − | 0.999516i | ||||
\(977\) | −42.1246 | + | 30.6053i | −1.34769 | + | 0.979151i | −0.348562 | + | 0.937286i | \(0.613330\pi\) |
−0.999123 | + | 0.0418654i | \(0.986670\pi\) | |||||||
\(978\) | −0.354102 | + | 1.08981i | −0.0113229 | + | 0.0348484i | ||||
\(979\) | −36.5066 | + | 26.5236i | −1.16676 | + | 0.847697i | ||||
\(980\) | 0.381966 | + | 0.277515i | 0.0122015 | + | 0.00886488i | ||||
\(981\) | −11.3820 | − | 35.0301i | −0.363398 | − | 1.11842i | ||||
\(982\) | −28.2705 | − | 20.5397i | −0.902148 | − | 0.655449i | ||||
\(983\) | −2.48278 | + | 7.64121i | −0.0791884 | + | 0.243717i | −0.982812 | − | 0.184612i | \(-0.940897\pi\) |
0.903623 | + | 0.428328i | \(0.140897\pi\) | |||||||
\(984\) | −1.70820 | + | 5.25731i | −0.0544556 | + | 0.167597i | ||||
\(985\) | 1.22949 | + | 3.78398i | 0.0391748 | + | 0.120568i | ||||
\(986\) | 43.7426 | 1.39305 | ||||||||
\(987\) | 16.8541 | 0.536472 | ||||||||
\(988\) | −1.77051 | − | 5.44907i | −0.0563274 | − | 0.173358i | ||||
\(989\) | 6.69098 | − | 4.86128i | 0.212761 | − | 0.154580i | ||||
\(990\) | 5.23607 | + | 3.80423i | 0.166413 | + | 0.120906i | ||||
\(991\) | 16.2705 | 0.516850 | 0.258425 | − | 0.966031i | \(-0.416797\pi\) | ||||
0.258425 | + | 0.966031i | \(0.416797\pi\) | |||||||
\(992\) | −0.152476 | + | 18.8294i | −0.00484111 | + | 0.597833i | ||||
\(993\) | 22.2705 | 0.706733 | ||||||||
\(994\) | 43.5517 | + | 31.6421i | 1.38137 | + | 1.00363i | ||||
\(995\) | −4.10739 | + | 2.98419i | −0.130213 | + | 0.0946053i | ||||
\(996\) | −1.35410 | − | 4.16750i | −0.0429064 | − | 0.132052i | ||||
\(997\) | 53.2492 | 1.68642 | 0.843210 | − | 0.537584i | \(-0.180663\pi\) | ||||
0.843210 | + | 0.537584i | \(0.180663\pi\) | |||||||
\(998\) | 17.5623 | 0.555925 | ||||||||
\(999\) | −6.54508 | − | 20.1437i | −0.207077 | − | 0.637318i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))