Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(66,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.66");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.k (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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(68\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 66.12 | ||
Character | \(\chi\) | \(=\) | 403.66 |
Dual form | 403.2.k.e.287.12 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.455627 | + | 1.40228i | 0.322177 | + | 0.991559i | 0.972699 | + | 0.232071i | \(0.0745503\pi\) |
−0.650522 | + | 0.759488i | \(0.725450\pi\) | |||||||
\(3\) | 0.322084 | − | 0.991272i | 0.185955 | − | 0.572311i | −0.814008 | − | 0.580853i | \(-0.802719\pi\) |
0.999964 | + | 0.00854188i | \(0.00271900\pi\) | |||||||
\(4\) | −0.140749 | + | 0.102260i | −0.0703744 | + | 0.0511300i | ||||
\(5\) | −2.15722 | −0.964738 | −0.482369 | − | 0.875968i | \(-0.660224\pi\) | ||||
−0.482369 | + | 0.875968i | \(0.660224\pi\) | |||||||
\(6\) | 1.53679 | 0.627391 | ||||||||
\(7\) | 0.0381524 | − | 0.0277193i | 0.0144202 | − | 0.0104769i | −0.580552 | − | 0.814223i | \(-0.697163\pi\) |
0.594972 | + | 0.803746i | \(0.297163\pi\) | |||||||
\(8\) | 2.17817 | + | 1.58253i | 0.770099 | + | 0.559510i | ||||
\(9\) | 1.54817 | + | 1.12481i | 0.516056 | + | 0.374937i | ||||
\(10\) | −0.982888 | − | 3.02502i | −0.310816 | − | 0.956595i | ||||
\(11\) | 4.86569 | − | 3.53513i | 1.46706 | − | 1.06588i | 0.485610 | − | 0.874176i | \(-0.338598\pi\) |
0.981452 | − | 0.191707i | \(-0.0614024\pi\) | |||||||
\(12\) | 0.0560346 | + | 0.172457i | 0.0161758 | + | 0.0497840i | ||||
\(13\) | 0.309017 | − | 0.951057i | 0.0857059 | − | 0.263776i | ||||
\(14\) | 0.0562534 | + | 0.0408705i | 0.0150344 | + | 0.0109231i | ||||
\(15\) | −0.694806 | + | 2.13839i | −0.179398 | + | 0.552131i | ||||
\(16\) | −1.33424 | + | 4.10636i | −0.333559 | + | 1.02659i | ||||
\(17\) | −0.746337 | − | 0.542246i | −0.181013 | − | 0.131514i | 0.493589 | − | 0.869695i | \(-0.335685\pi\) |
−0.674602 | + | 0.738181i | \(0.735685\pi\) | |||||||
\(18\) | −0.871907 | + | 2.68345i | −0.205510 | + | 0.632496i | ||||
\(19\) | 0.533884 | + | 1.64313i | 0.122481 | + | 0.376959i | 0.993434 | − | 0.114408i | \(-0.0364972\pi\) |
−0.870952 | + | 0.491367i | \(0.836497\pi\) | |||||||
\(20\) | 0.303626 | − | 0.220597i | 0.0678929 | − | 0.0493271i | ||||
\(21\) | −0.0151891 | − | 0.0467474i | −0.00331454 | − | 0.0102011i | ||||
\(22\) | 7.17418 | + | 5.21234i | 1.52954 | + | 1.11128i | ||||
\(23\) | 3.50203 | + | 2.54437i | 0.730223 | + | 0.530538i | 0.889634 | − | 0.456674i | \(-0.150959\pi\) |
−0.159411 | + | 0.987212i | \(0.550959\pi\) | |||||||
\(24\) | 2.27027 | − | 1.64945i | 0.463418 | − | 0.336693i | ||||
\(25\) | −0.346403 | −0.0692806 | ||||||||
\(26\) | 1.47444 | 0.289162 | ||||||||
\(27\) | 4.14331 | − | 3.01029i | 0.797381 | − | 0.579331i | ||||
\(28\) | −0.00253533 | + | 0.00780293i | −0.000479132 | + | 0.00147462i | ||||
\(29\) | 1.63880 | + | 5.04369i | 0.304317 | + | 0.936591i | 0.979931 | + | 0.199336i | \(0.0638784\pi\) |
−0.675615 | + | 0.737255i | \(0.736122\pi\) | |||||||
\(30\) | −3.31519 | −0.605268 | ||||||||
\(31\) | −3.38515 | − | 4.42049i | −0.607991 | − | 0.793944i | ||||
\(32\) | −0.981437 | −0.173495 | ||||||||
\(33\) | −1.93712 | − | 5.96184i | −0.337209 | − | 1.03782i | ||||
\(34\) | 0.420327 | − | 1.29363i | 0.0720855 | − | 0.221856i | ||||
\(35\) | −0.0823031 | + | 0.0597967i | −0.0139118 | + | 0.0101075i | ||||
\(36\) | −0.332926 | −0.0554877 | ||||||||
\(37\) | −2.43446 | −0.400222 | −0.200111 | − | 0.979773i | \(-0.564130\pi\) | ||||
−0.200111 | + | 0.979773i | \(0.564130\pi\) | |||||||
\(38\) | −2.06087 | + | 1.49731i | −0.334316 | + | 0.242895i | ||||
\(39\) | −0.843227 | − | 0.612640i | −0.135024 | − | 0.0981009i | ||||
\(40\) | −4.69879 | − | 3.41387i | −0.742944 | − | 0.539780i | ||||
\(41\) | −3.39319 | − | 10.4432i | −0.529927 | − | 1.63095i | −0.754363 | − | 0.656458i | \(-0.772054\pi\) |
0.224436 | − | 0.974489i | \(-0.427946\pi\) | |||||||
\(42\) | 0.0586321 | − | 0.0425987i | 0.00904714 | − | 0.00657313i | ||||
\(43\) | 1.30718 | + | 4.02308i | 0.199343 | + | 0.613514i | 0.999898 | + | 0.0142554i | \(0.00453778\pi\) |
−0.800556 | + | 0.599258i | \(0.795462\pi\) | |||||||
\(44\) | −0.323338 | + | 0.995132i | −0.0487450 | + | 0.150022i | ||||
\(45\) | −3.33974 | − | 2.42646i | −0.497859 | − | 0.361716i | ||||
\(46\) | −1.97229 | + | 6.07010i | −0.290799 | + | 0.894987i | ||||
\(47\) | −2.03901 | + | 6.27543i | −0.297421 | + | 0.915366i | 0.684977 | + | 0.728565i | \(0.259812\pi\) |
−0.982398 | + | 0.186802i | \(0.940188\pi\) | |||||||
\(48\) | 3.64079 | + | 2.64519i | 0.525502 | + | 0.381800i | ||||
\(49\) | −2.16243 | + | 6.65528i | −0.308919 | + | 0.950754i | ||||
\(50\) | −0.157831 | − | 0.485753i | −0.0223206 | − | 0.0686958i | ||||
\(51\) | −0.777897 | + | 0.565175i | −0.108927 | + | 0.0791403i | ||||
\(52\) | 0.0537613 | + | 0.165460i | 0.00745535 | + | 0.0229452i | ||||
\(53\) | −4.98478 | − | 3.62165i | −0.684712 | − | 0.497472i | 0.190206 | − | 0.981744i | \(-0.439084\pi\) |
−0.874917 | + | 0.484272i | \(0.839084\pi\) | |||||||
\(54\) | 6.10907 | + | 4.43850i | 0.831339 | + | 0.604003i | ||||
\(55\) | −10.4964 | + | 7.62606i | −1.41533 | + | 1.02830i | ||||
\(56\) | 0.126969 | 0.0169670 | ||||||||
\(57\) | 1.80074 | 0.238514 | ||||||||
\(58\) | −6.32597 | + | 4.59609i | −0.830641 | + | 0.603496i | ||||
\(59\) | 2.87855 | − | 8.85927i | 0.374756 | − | 1.15338i | −0.568888 | − | 0.822415i | \(-0.692626\pi\) |
0.943643 | − | 0.330964i | \(-0.107374\pi\) | |||||||
\(60\) | −0.120879 | − | 0.372027i | −0.0156054 | − | 0.0480285i | ||||
\(61\) | −5.11730 | −0.655203 | −0.327601 | − | 0.944816i | \(-0.606240\pi\) | ||||
−0.327601 | + | 0.944816i | \(0.606240\pi\) | |||||||
\(62\) | 4.65638 | − | 6.76102i | 0.591361 | − | 0.858650i | ||||
\(63\) | 0.0902453 | 0.0113698 | ||||||||
\(64\) | 2.22131 | + | 6.83648i | 0.277663 | + | 0.854559i | ||||
\(65\) | −0.666618 | + | 2.05164i | −0.0826837 | + | 0.254474i | ||||
\(66\) | 7.47754 | − | 5.43275i | 0.920422 | − | 0.668725i | ||||
\(67\) | −11.8698 | −1.45013 | −0.725066 | − | 0.688680i | \(-0.758191\pi\) | ||||
−0.725066 | + | 0.688680i | \(0.758191\pi\) | |||||||
\(68\) | 0.160496 | 0.0194630 | ||||||||
\(69\) | 3.65011 | − | 2.65196i | 0.439422 | − | 0.319259i | ||||
\(70\) | −0.121351 | − | 0.0881667i | −0.0145042 | − | 0.0105379i | ||||
\(71\) | −8.93798 | − | 6.49383i | −1.06074 | − | 0.770675i | −0.0865178 | − | 0.996250i | \(-0.527574\pi\) |
−0.974226 | + | 0.225575i | \(0.927574\pi\) | |||||||
\(72\) | 1.59212 | + | 4.90005i | 0.187634 | + | 0.577477i | ||||
\(73\) | 1.31730 | − | 0.957071i | 0.154178 | − | 0.112017i | −0.508022 | − | 0.861344i | \(-0.669623\pi\) |
0.662200 | + | 0.749327i | \(0.269623\pi\) | |||||||
\(74\) | −1.10920 | − | 3.41378i | −0.128942 | − | 0.396844i | ||||
\(75\) | −0.111571 | + | 0.343380i | −0.0128831 | + | 0.0396501i | ||||
\(76\) | −0.243170 | − | 0.176673i | −0.0278935 | − | 0.0202658i | ||||
\(77\) | 0.0876463 | − | 0.269748i | 0.00998822 | − | 0.0307406i | ||||
\(78\) | 0.474894 | − | 1.46157i | 0.0537711 | − | 0.165490i | ||||
\(79\) | −4.71540 | − | 3.42594i | −0.530524 | − | 0.385448i | 0.290030 | − | 0.957018i | \(-0.406335\pi\) |
−0.820554 | + | 0.571569i | \(0.806335\pi\) | |||||||
\(80\) | 2.87824 | − | 8.85832i | 0.321797 | − | 0.990390i | ||||
\(81\) | 0.124517 | + | 0.383223i | 0.0138352 | + | 0.0425803i | ||||
\(82\) | 13.0982 | − | 9.51637i | 1.44645 | − | 1.05091i | ||||
\(83\) | 1.96501 | + | 6.04769i | 0.215688 | + | 0.663820i | 0.999104 | + | 0.0423219i | \(0.0134755\pi\) |
−0.783416 | + | 0.621498i | \(0.786524\pi\) | |||||||
\(84\) | 0.00691824 | + | 0.00502640i | 0.000754842 | + | 0.000548425i | ||||
\(85\) | 1.61001 | + | 1.16974i | 0.174630 | + | 0.126876i | ||||
\(86\) | −5.04588 | + | 3.66605i | −0.544112 | + | 0.395320i | ||||
\(87\) | 5.52751 | 0.592611 | ||||||||
\(88\) | 16.1928 | 1.72615 | ||||||||
\(89\) | −2.39167 | + | 1.73765i | −0.253517 | + | 0.184191i | −0.707284 | − | 0.706929i | \(-0.750080\pi\) |
0.453767 | + | 0.891120i | \(0.350080\pi\) | |||||||
\(90\) | 1.88089 | − | 5.78880i | 0.198264 | − | 0.610193i | ||||
\(91\) | −0.0145729 | − | 0.0448508i | −0.00152766 | − | 0.00470164i | ||||
\(92\) | −0.753094 | −0.0785155 | ||||||||
\(93\) | −5.47221 | + | 1.93184i | −0.567442 | + | 0.200322i | ||||
\(94\) | −9.72892 | −1.00346 | ||||||||
\(95\) | −1.15171 | − | 3.54458i | −0.118162 | − | 0.363667i | ||||
\(96\) | −0.316105 | + | 0.972871i | −0.0322623 | + | 0.0992933i | ||||
\(97\) | −2.39509 | + | 1.74013i | −0.243184 | + | 0.176684i | −0.702701 | − | 0.711486i | \(-0.748023\pi\) |
0.459516 | + | 0.888169i | \(0.348023\pi\) | |||||||
\(98\) | −10.3178 | −1.04226 | ||||||||
\(99\) | 11.5093 | 1.15672 | ||||||||
\(100\) | 0.0487559 | − | 0.0354232i | 0.00487559 | − | 0.00354232i | ||||
\(101\) | −10.2935 | − | 7.47868i | −1.02424 | − | 0.744156i | −0.0570946 | − | 0.998369i | \(-0.518184\pi\) |
−0.967148 | + | 0.254213i | \(0.918184\pi\) | |||||||
\(102\) | −1.14696 | − | 0.833317i | −0.113566 | − | 0.0825107i | ||||
\(103\) | 1.74625 | + | 5.37440i | 0.172063 | + | 0.529555i | 0.999487 | − | 0.0320222i | \(-0.0101947\pi\) |
−0.827424 | + | 0.561577i | \(0.810195\pi\) | |||||||
\(104\) | 2.17817 | − | 1.58253i | 0.213587 | − | 0.155180i | ||||
\(105\) | 0.0327663 | + | 0.100844i | 0.00319766 | + | 0.00984140i | ||||
\(106\) | 2.80736 | − | 8.64016i | 0.272675 | − | 0.839206i | ||||
\(107\) | 7.45517 | + | 5.41650i | 0.720718 | + | 0.523633i | 0.886614 | − | 0.462511i | \(-0.153051\pi\) |
−0.165895 | + | 0.986143i | \(0.553051\pi\) | |||||||
\(108\) | −0.275334 | + | 0.847391i | −0.0264940 | + | 0.0815402i | ||||
\(109\) | −4.33062 | + | 13.3283i | −0.414799 | + | 1.27662i | 0.497632 | + | 0.867388i | \(0.334203\pi\) |
−0.912431 | + | 0.409231i | \(0.865797\pi\) | |||||||
\(110\) | −15.4763 | − | 11.2442i | −1.47560 | − | 1.07209i | ||||
\(111\) | −0.784099 | + | 2.41321i | −0.0744234 | + | 0.229052i | ||||
\(112\) | 0.0629212 | + | 0.193652i | 0.00594550 | + | 0.0182984i | ||||
\(113\) | 1.46642 | − | 1.06542i | 0.137949 | − | 0.100226i | −0.516670 | − | 0.856184i | \(-0.672829\pi\) |
0.654620 | + | 0.755958i | \(0.272829\pi\) | |||||||
\(114\) | 0.820467 | + | 2.52514i | 0.0768438 | + | 0.236501i | ||||
\(115\) | −7.55464 | − | 5.48877i | −0.704474 | − | 0.511830i | ||||
\(116\) | −0.746427 | − | 0.542311i | −0.0693040 | − | 0.0503523i | ||||
\(117\) | 1.54817 | − | 1.12481i | 0.143128 | − | 0.103989i | ||||
\(118\) | 13.7347 | 1.26438 | ||||||||
\(119\) | −0.0435052 | −0.00398812 | ||||||||
\(120\) | −4.89748 | + | 3.55823i | −0.447077 | + | 0.324820i | ||||
\(121\) | 7.77862 | − | 23.9401i | 0.707147 | − | 2.17638i | ||||
\(122\) | −2.33158 | − | 7.17587i | −0.211091 | − | 0.649673i | ||||
\(123\) | −11.4449 | −1.03195 | ||||||||
\(124\) | 0.928496 | + | 0.276013i | 0.0833814 | + | 0.0247867i | ||||
\(125\) | 11.5334 | 1.03158 | ||||||||
\(126\) | 0.0411182 | + | 0.126549i | 0.00366310 | + | 0.0112739i | ||||
\(127\) | −2.36583 | + | 7.28129i | −0.209934 | + | 0.646110i | 0.789541 | + | 0.613698i | \(0.210319\pi\) |
−0.999475 | + | 0.0324118i | \(0.989681\pi\) | |||||||
\(128\) | −10.1625 | + | 7.38352i | −0.898250 | + | 0.652617i | ||||
\(129\) | 4.40899 | 0.388190 | ||||||||
\(130\) | −3.18069 | −0.278965 | ||||||||
\(131\) | 11.7743 | − | 8.55455i | 1.02873 | − | 0.747414i | 0.0606737 | − | 0.998158i | \(-0.480675\pi\) |
0.968054 | + | 0.250744i | \(0.0806751\pi\) | |||||||
\(132\) | 0.882305 | + | 0.641032i | 0.0767948 | + | 0.0557947i | ||||
\(133\) | 0.0659153 | + | 0.0478903i | 0.00571558 | + | 0.00415261i | ||||
\(134\) | −5.40822 | − | 16.6448i | −0.467199 | − | 1.43789i | ||||
\(135\) | −8.93804 | + | 6.49386i | −0.769264 | + | 0.558903i | ||||
\(136\) | −0.767527 | − | 2.36221i | −0.0658149 | − | 0.202557i | ||||
\(137\) | 3.51248 | − | 10.8103i | 0.300091 | − | 0.923586i | −0.681372 | − | 0.731937i | \(-0.738616\pi\) |
0.981464 | − | 0.191649i | \(-0.0613835\pi\) | |||||||
\(138\) | 5.38188 | + | 3.91016i | 0.458136 | + | 0.332855i | ||||
\(139\) | −3.82413 | + | 11.7695i | −0.324358 | + | 0.998272i | 0.647371 | + | 0.762175i | \(0.275868\pi\) |
−0.971729 | + | 0.236097i | \(0.924132\pi\) | |||||||
\(140\) | 0.00546925 | − | 0.0168326i | 0.000462236 | − | 0.00142262i | ||||
\(141\) | 5.56393 | + | 4.04243i | 0.468568 | + | 0.340434i | ||||
\(142\) | 5.03375 | − | 15.4923i | 0.422423 | − | 1.30008i | ||||
\(143\) | −1.85853 | − | 5.71997i | −0.155418 | − | 0.478328i | ||||
\(144\) | −6.68450 | + | 4.85657i | −0.557042 | + | 0.404714i | ||||
\(145\) | −3.53524 | − | 10.8804i | −0.293586 | − | 0.903564i | ||||
\(146\) | 1.94227 | + | 1.41114i | 0.160744 | + | 0.116787i | ||||
\(147\) | 5.90071 | + | 4.28712i | 0.486682 | + | 0.353596i | ||||
\(148\) | 0.342647 | − | 0.248948i | 0.0281654 | − | 0.0204634i | ||||
\(149\) | 18.9028 | 1.54858 | 0.774291 | − | 0.632830i | \(-0.218107\pi\) | ||||
0.774291 | + | 0.632830i | \(0.218107\pi\) | |||||||
\(150\) | −0.532348 | −0.0434661 | ||||||||
\(151\) | −1.88778 | + | 1.37155i | −0.153625 | + | 0.111615i | −0.661943 | − | 0.749555i | \(-0.730268\pi\) |
0.508317 | + | 0.861170i | \(0.330268\pi\) | |||||||
\(152\) | −1.43741 | + | 4.42390i | −0.116589 | + | 0.358825i | ||||
\(153\) | −0.545532 | − | 1.67898i | −0.0441037 | − | 0.135737i | ||||
\(154\) | 0.418195 | 0.0336991 | ||||||||
\(155\) | 7.30252 | + | 9.53597i | 0.586552 | + | 0.765948i | ||||
\(156\) | 0.181332 | 0.0145182 | ||||||||
\(157\) | 1.54906 | + | 4.76752i | 0.123629 | + | 0.380490i | 0.993649 | − | 0.112526i | \(-0.0358943\pi\) |
−0.870020 | + | 0.493016i | \(0.835894\pi\) | |||||||
\(158\) | 2.65565 | − | 8.17324i | 0.211272 | − | 0.650228i | ||||
\(159\) | −5.19556 | + | 3.77480i | −0.412035 | + | 0.299361i | ||||
\(160\) | 2.11717 | 0.167377 | ||||||||
\(161\) | 0.204139 | 0.0160884 | ||||||||
\(162\) | −0.480651 | + | 0.349213i | −0.0377635 | + | 0.0274368i | ||||
\(163\) | −11.2685 | − | 8.18707i | −0.882620 | − | 0.641261i | 0.0513237 | − | 0.998682i | \(-0.483656\pi\) |
−0.933943 | + | 0.357421i | \(0.883656\pi\) | |||||||
\(164\) | 1.54550 | + | 1.12287i | 0.120684 | + | 0.0876818i | ||||
\(165\) | 4.17879 | + | 12.8610i | 0.325318 | + | 1.00123i | ||||
\(166\) | −7.58521 | + | 5.51098i | −0.588727 | + | 0.427735i | ||||
\(167\) | 3.57322 | + | 10.9972i | 0.276504 | + | 0.850992i | 0.988817 | + | 0.149131i | \(0.0476475\pi\) |
−0.712313 | + | 0.701862i | \(0.752352\pi\) | |||||||
\(168\) | 0.0408947 | − | 0.125861i | 0.00315510 | − | 0.00971039i | ||||
\(169\) | −0.809017 | − | 0.587785i | −0.0622321 | − | 0.0452143i | ||||
\(170\) | −0.906737 | + | 2.79065i | −0.0695436 | + | 0.214033i | ||||
\(171\) | −1.02166 | + | 3.14435i | −0.0781285 | + | 0.240455i | ||||
\(172\) | −0.595384 | − | 0.432572i | −0.0453976 | − | 0.0329833i | ||||
\(173\) | −7.03509 | + | 21.6518i | −0.534868 | + | 1.64615i | 0.209066 | + | 0.977901i | \(0.432958\pi\) |
−0.743934 | + | 0.668253i | \(0.767042\pi\) | |||||||
\(174\) | 2.51848 | + | 7.75109i | 0.190926 | + | 0.587609i | ||||
\(175\) | −0.0132161 | + | 0.00960206i | −0.000999044 | + | 0.000725848i | ||||
\(176\) | 8.02454 | + | 24.6970i | 0.604873 | + | 1.86161i | ||||
\(177\) | −7.85482 | − | 5.70686i | −0.590404 | − | 0.428954i | ||||
\(178\) | −3.52638 | − | 2.56207i | −0.264313 | − | 0.192035i | ||||
\(179\) | 2.39899 | − | 1.74297i | 0.179309 | − | 0.130276i | −0.494510 | − | 0.869172i | \(-0.664653\pi\) |
0.673819 | + | 0.738896i | \(0.264653\pi\) | |||||||
\(180\) | 0.718195 | 0.0535311 | ||||||||
\(181\) | 12.1829 | 0.905548 | 0.452774 | − | 0.891625i | \(-0.350434\pi\) | ||||
0.452774 | + | 0.891625i | \(0.350434\pi\) | |||||||
\(182\) | 0.0562534 | − | 0.0408705i | 0.00416978 | − | 0.00302952i | ||||
\(183\) | −1.64820 | + | 5.07264i | −0.121838 | + | 0.374980i | ||||
\(184\) | 3.60146 | + | 11.0841i | 0.265503 | + | 0.817134i | ||||
\(185\) | 5.25166 | 0.386109 | ||||||||
\(186\) | −5.20226 | − | 6.79336i | −0.381448 | − | 0.498113i | ||||
\(187\) | −5.54836 | −0.405736 | ||||||||
\(188\) | −0.354738 | − | 1.09177i | −0.0258719 | − | 0.0796255i | ||||
\(189\) | 0.0746340 | − | 0.229700i | 0.00542882 | − | 0.0167082i | ||||
\(190\) | 4.44574 | − | 3.23002i | 0.322528 | − | 0.234330i | ||||
\(191\) | 5.15675 | 0.373129 | 0.186565 | − | 0.982443i | \(-0.440265\pi\) | ||||
0.186565 | + | 0.982443i | \(0.440265\pi\) | |||||||
\(192\) | 7.49226 | 0.540707 | ||||||||
\(193\) | −15.2536 | + | 11.0824i | −1.09798 | + | 0.797729i | −0.980729 | − | 0.195373i | \(-0.937408\pi\) |
−0.117251 | + | 0.993102i | \(0.537408\pi\) | |||||||
\(194\) | −3.53141 | − | 2.56572i | −0.253541 | − | 0.184208i | ||||
\(195\) | 1.81903 | + | 1.32160i | 0.130263 | + | 0.0946417i | ||||
\(196\) | −0.376209 | − | 1.15785i | −0.0268721 | − | 0.0827038i | ||||
\(197\) | 12.1542 | − | 8.83055i | 0.865952 | − | 0.629151i | −0.0635458 | − | 0.997979i | \(-0.520241\pi\) |
0.929498 | + | 0.368828i | \(0.120241\pi\) | |||||||
\(198\) | 5.24393 | + | 16.1392i | 0.372670 | + | 1.14696i | ||||
\(199\) | 2.62184 | − | 8.06921i | 0.185858 | − | 0.572011i | −0.814104 | − | 0.580718i | \(-0.802772\pi\) |
0.999962 | + | 0.00870755i | \(0.00277174\pi\) | |||||||
\(200\) | −0.754525 | − | 0.548194i | −0.0533529 | − | 0.0387632i | ||||
\(201\) | −3.82308 | + | 11.7662i | −0.269660 | + | 0.829927i | ||||
\(202\) | 5.79717 | − | 17.8418i | 0.407887 | − | 1.25535i | ||||
\(203\) | 0.202332 | + | 0.147003i | 0.0142009 | + | 0.0103176i | ||||
\(204\) | 0.0516933 | − | 0.159095i | 0.00361925 | − | 0.0111389i | ||||
\(205\) | 7.31985 | + | 22.5282i | 0.511240 | + | 1.57344i | ||||
\(206\) | −6.74075 | + | 4.89744i | −0.469650 | + | 0.341221i | ||||
\(207\) | 2.55979 | + | 7.87823i | 0.177918 | + | 0.547575i | ||||
\(208\) | 3.49308 | + | 2.53787i | 0.242201 | + | 0.175970i | ||||
\(209\) | 8.40639 | + | 6.10760i | 0.581482 | + | 0.422471i | ||||
\(210\) | −0.126482 | + | 0.0918948i | −0.00872812 | + | 0.00634135i | ||||
\(211\) | −16.0874 | −1.10750 | −0.553750 | − | 0.832683i | \(-0.686804\pi\) | ||||
−0.553750 | + | 0.832683i | \(0.686804\pi\) | |||||||
\(212\) | 1.07195 | 0.0736220 | ||||||||
\(213\) | −9.31593 | + | 6.76842i | −0.638317 | + | 0.463765i | ||||
\(214\) | −4.19865 | + | 12.9221i | −0.287014 | + | 0.883337i | ||||
\(215\) | −2.81987 | − | 8.67866i | −0.192313 | − | 0.591880i | ||||
\(216\) | 13.7887 | 0.938204 | ||||||||
\(217\) | −0.251685 | − | 0.0748181i | −0.0170855 | − | 0.00507898i | ||||
\(218\) | −20.6631 | −1.39948 | ||||||||
\(219\) | −0.524438 | − | 1.61406i | −0.0354383 | − | 0.109068i | ||||
\(220\) | 0.697511 | − | 2.14672i | 0.0470262 | − | 0.144732i | ||||
\(221\) | −0.746337 | + | 0.542246i | −0.0502041 | + | 0.0364754i | ||||
\(222\) | −3.74124 | −0.251096 | ||||||||
\(223\) | −21.0305 | −1.40831 | −0.704155 | − | 0.710046i | \(-0.748674\pi\) | ||||
−0.704155 | + | 0.710046i | \(0.748674\pi\) | |||||||
\(224\) | −0.0374442 | + | 0.0272048i | −0.00250184 | + | 0.00181770i | ||||
\(225\) | −0.536290 | − | 0.389638i | −0.0357527 | − | 0.0259758i | ||||
\(226\) | 2.16215 | + | 1.57089i | 0.143824 | + | 0.104494i | ||||
\(227\) | 4.64711 | + | 14.3023i | 0.308440 | + | 0.949280i | 0.978371 | + | 0.206857i | \(0.0663234\pi\) |
−0.669932 | + | 0.742423i | \(0.733677\pi\) | |||||||
\(228\) | −0.253452 | + | 0.184144i | −0.0167853 | + | 0.0121952i | ||||
\(229\) | 2.18205 | + | 6.71567i | 0.144194 | + | 0.443784i | 0.996906 | − | 0.0785967i | \(-0.0250439\pi\) |
−0.852712 | + | 0.522381i | \(0.825044\pi\) | |||||||
\(230\) | 4.25467 | − | 13.0945i | 0.280545 | − | 0.863428i | ||||
\(231\) | −0.239164 | − | 0.173763i | −0.0157358 | − | 0.0114327i | ||||
\(232\) | −4.41224 | + | 13.5795i | −0.289678 | + | 0.891536i | ||||
\(233\) | 7.50003 | − | 23.0827i | 0.491344 | − | 1.51220i | −0.331235 | − | 0.943548i | \(-0.607465\pi\) |
0.822578 | − | 0.568652i | \(-0.192535\pi\) | |||||||
\(234\) | 2.28268 | + | 1.65847i | 0.149224 | + | 0.108417i | ||||
\(235\) | 4.39860 | − | 13.5375i | 0.286933 | − | 0.883089i | ||||
\(236\) | 0.500797 | + | 1.54129i | 0.0325991 | + | 0.100330i | ||||
\(237\) | −4.91479 | + | 3.57081i | −0.319250 | + | 0.231949i | ||||
\(238\) | −0.0198222 | − | 0.0610064i | −0.00128488 | − | 0.00395446i | ||||
\(239\) | −19.0424 | − | 13.8351i | −1.23175 | − | 0.894920i | −0.234731 | − | 0.972060i | \(-0.575421\pi\) |
−0.997020 | + | 0.0771407i | \(0.975421\pi\) | |||||||
\(240\) | −7.85397 | − | 5.70625i | −0.506972 | − | 0.368337i | ||||
\(241\) | 23.5459 | − | 17.1071i | 1.51672 | − | 1.10197i | 0.553644 | − | 0.832754i | \(-0.313237\pi\) |
0.963081 | − | 0.269211i | \(-0.0867630\pi\) | |||||||
\(242\) | 37.1148 | 2.38583 | ||||||||
\(243\) | 15.7842 | 1.01256 | ||||||||
\(244\) | 0.720254 | − | 0.523295i | 0.0461095 | − | 0.0335005i | ||||
\(245\) | 4.66484 | − | 14.3569i | 0.298026 | − | 0.917229i | ||||
\(246\) | −5.21461 | − | 16.0489i | −0.332471 | − | 1.02324i | ||||
\(247\) | 1.72769 | 0.109930 | ||||||||
\(248\) | −0.377866 | − | 14.9857i | −0.0239945 | − | 0.951592i | ||||
\(249\) | 6.62780 | 0.420020 | ||||||||
\(250\) | 5.25492 | + | 16.1730i | 0.332350 | + | 1.02287i | ||||
\(251\) | −6.47496 | + | 19.9279i | −0.408696 | + | 1.25784i | 0.509074 | + | 0.860723i | \(0.329988\pi\) |
−0.917770 | + | 0.397113i | \(0.870012\pi\) | |||||||
\(252\) | −0.0127019 | + | 0.00922849i | −0.000800146 | + | 0.000581340i | ||||
\(253\) | 26.0345 | 1.63677 | ||||||||
\(254\) | −11.2883 | −0.708292 | ||||||||
\(255\) | 1.67809 | − | 1.21921i | 0.105086 | − | 0.0763497i | ||||
\(256\) | −3.35315 | − | 2.43621i | −0.209572 | − | 0.152263i | ||||
\(257\) | −12.7062 | − | 9.23162i | −0.792593 | − | 0.575852i | 0.116139 | − | 0.993233i | \(-0.462948\pi\) |
−0.908732 | + | 0.417381i | \(0.862948\pi\) | |||||||
\(258\) | 2.00885 | + | 6.18262i | 0.125066 | + | 0.384913i | ||||
\(259\) | −0.0928803 | + | 0.0674815i | −0.00577130 | + | 0.00419310i | ||||
\(260\) | −0.115975 | − | 0.356934i | −0.00719246 | − | 0.0221361i | ||||
\(261\) | −3.13607 | + | 9.65182i | −0.194118 | + | 0.597433i | ||||
\(262\) | 17.3605 | + | 12.6132i | 1.07254 | + | 0.779244i | ||||
\(263\) | −9.11158 | + | 28.0426i | −0.561844 | + | 1.72918i | 0.115302 | + | 0.993330i | \(0.463216\pi\) |
−0.677146 | + | 0.735848i | \(0.736784\pi\) | |||||||
\(264\) | 5.21543 | − | 16.0514i | 0.320988 | − | 0.987898i | ||||
\(265\) | 10.7533 | + | 7.81270i | 0.660567 | + | 0.479930i | ||||
\(266\) | −0.0371226 | + | 0.114252i | −0.00227613 | + | 0.00700522i | ||||
\(267\) | 0.952167 | + | 2.93047i | 0.0582717 | + | 0.179342i | ||||
\(268\) | 1.67067 | − | 1.21381i | 0.102052 | − | 0.0741453i | ||||
\(269\) | −1.92904 | − | 5.93698i | −0.117616 | − | 0.361984i | 0.874868 | − | 0.484362i | \(-0.160948\pi\) |
−0.992484 | + | 0.122378i | \(0.960948\pi\) | |||||||
\(270\) | −13.1786 | − | 9.57482i | −0.802024 | − | 0.582705i | ||||
\(271\) | −12.8610 | − | 9.34408i | −0.781252 | − | 0.567613i | 0.124103 | − | 0.992269i | \(-0.460395\pi\) |
−0.905354 | + | 0.424657i | \(0.860395\pi\) | |||||||
\(272\) | 3.22245 | − | 2.34125i | 0.195390 | − | 0.141959i | ||||
\(273\) | −0.0491531 | −0.00297488 | ||||||||
\(274\) | 16.7594 | 1.01247 | ||||||||
\(275\) | −1.68549 | + | 1.22458i | −0.101639 | + | 0.0738450i | ||||
\(276\) | −0.242560 | + | 0.746521i | −0.0146004 | + | 0.0449353i | ||||
\(277\) | −2.04841 | − | 6.30435i | −0.123077 | − | 0.378792i | 0.870469 | − | 0.492223i | \(-0.163816\pi\) |
−0.993546 | + | 0.113432i | \(0.963816\pi\) | |||||||
\(278\) | −18.2464 | −1.09435 | ||||||||
\(279\) | −0.268574 | − | 10.6513i | −0.0160791 | − | 0.637678i | ||||
\(280\) | −0.273900 | −0.0163687 | ||||||||
\(281\) | 0.666369 | + | 2.05087i | 0.0397522 | + | 0.122345i | 0.968963 | − | 0.247205i | \(-0.0795120\pi\) |
−0.929211 | + | 0.369549i | \(0.879512\pi\) | |||||||
\(282\) | −3.13353 | + | 9.64401i | −0.186599 | + | 0.574293i | ||||
\(283\) | 0.848479 | − | 0.616456i | 0.0504369 | − | 0.0366445i | −0.562281 | − | 0.826946i | \(-0.690076\pi\) |
0.612718 | + | 0.790302i | \(0.290076\pi\) | |||||||
\(284\) | 1.92207 | 0.114054 | ||||||||
\(285\) | −3.88460 | −0.230104 | ||||||||
\(286\) | 7.17418 | − | 5.21234i | 0.424218 | − | 0.308212i | ||||
\(287\) | −0.418935 | − | 0.304374i | −0.0247290 | − | 0.0179667i | ||||
\(288\) | −1.51943 | − | 1.10393i | −0.0895332 | − | 0.0650497i | ||||
\(289\) | −4.99030 | − | 15.3586i | −0.293547 | − | 0.903445i | ||||
\(290\) | 13.6465 | − | 9.91477i | 0.801351 | − | 0.582216i | ||||
\(291\) | 0.953526 | + | 2.93465i | 0.0558967 | + | 0.172032i | ||||
\(292\) | −0.0875377 | + | 0.269413i | −0.00512276 | + | 0.0157662i | ||||
\(293\) | −20.6356 | − | 14.9926i | −1.20554 | − | 0.875879i | −0.210726 | − | 0.977545i | \(-0.567583\pi\) |
−0.994819 | + | 0.101666i | \(0.967583\pi\) | |||||||
\(294\) | −3.32320 | + | 10.2278i | −0.193813 | + | 0.596495i | ||||
\(295\) | −6.20967 | + | 19.1114i | −0.361541 | + | 1.11271i | ||||
\(296\) | −5.30266 | − | 3.85261i | −0.308211 | − | 0.223928i | ||||
\(297\) | 9.51831 | − | 29.2943i | 0.552308 | − | 1.69983i | ||||
\(298\) | 8.61265 | + | 26.5070i | 0.498918 | + | 1.53551i | ||||
\(299\) | 3.50203 | − | 2.54437i | 0.202528 | − | 0.147145i | ||||
\(300\) | −0.0194106 | − | 0.0597396i | −0.00112067 | − | 0.00344907i | ||||
\(301\) | 0.161389 | + | 0.117256i | 0.00930231 | + | 0.00675852i | ||||
\(302\) | −2.78342 | − | 2.02227i | −0.160168 | − | 0.116369i | ||||
\(303\) | −10.7288 | + | 7.79492i | −0.616352 | + | 0.447806i | ||||
\(304\) | −7.45960 | −0.427837 | ||||||||
\(305\) | 11.0391 | 0.632099 | ||||||||
\(306\) | 2.10583 | − | 1.52997i | 0.120382 | − | 0.0874628i | ||||
\(307\) | 8.75349 | − | 26.9405i | 0.499588 | − | 1.53757i | −0.310094 | − | 0.950706i | \(-0.600361\pi\) |
0.809682 | − | 0.586868i | \(-0.199639\pi\) | |||||||
\(308\) | 0.0152483 | + | 0.0469294i | 0.000868851 | + | 0.00267405i | ||||
\(309\) | 5.88993 | 0.335066 | ||||||||
\(310\) | −10.0448 | + | 14.5850i | −0.570508 | + | 0.828372i | ||||
\(311\) | 12.6162 | 0.715399 | 0.357700 | − | 0.933837i | \(-0.383561\pi\) | ||||
0.357700 | + | 0.933837i | \(0.383561\pi\) | |||||||
\(312\) | −0.867168 | − | 2.66887i | −0.0490937 | − | 0.151095i | ||||
\(313\) | 2.12624 | − | 6.54388i | 0.120182 | − | 0.369882i | −0.872811 | − | 0.488059i | \(-0.837705\pi\) |
0.992993 | + | 0.118177i | \(0.0377050\pi\) | |||||||
\(314\) | −5.97959 | + | 4.34443i | −0.337448 | + | 0.245170i | ||||
\(315\) | −0.194679 | −0.0109689 | ||||||||
\(316\) | 1.01402 | 0.0570433 | ||||||||
\(317\) | 0.494643 | − | 0.359379i | 0.0277819 | − | 0.0201847i | −0.573808 | − | 0.818990i | \(-0.694534\pi\) |
0.601590 | + | 0.798805i | \(0.294534\pi\) | |||||||
\(318\) | −7.66055 | − | 5.56571i | −0.429582 | − | 0.312110i | ||||
\(319\) | 25.8040 | + | 18.7477i | 1.44475 | + | 1.04967i | ||||
\(320\) | −4.79184 | − | 14.7478i | −0.267872 | − | 0.824426i | ||||
\(321\) | 7.77042 | − | 5.64554i | 0.433702 | − | 0.315103i | ||||
\(322\) | 0.0930113 | + | 0.286259i | 0.00518332 | + | 0.0159526i | ||||
\(323\) | 0.492521 | − | 1.51582i | 0.0274046 | − | 0.0843426i | ||||
\(324\) | −0.0567139 | − | 0.0412051i | −0.00315077 | − | 0.00228917i | ||||
\(325\) | −0.107044 | + | 0.329449i | −0.00593776 | + | 0.0182745i | ||||
\(326\) | 6.34628 | − | 19.5318i | 0.351488 | − | 1.08177i | ||||
\(327\) | 11.8171 | + | 8.58566i | 0.653489 | + | 0.474788i | ||||
\(328\) | 9.13570 | − | 28.1168i | 0.504435 | − | 1.55249i | ||||
\(329\) | 0.0961577 | + | 0.295943i | 0.00530134 | + | 0.0163159i | ||||
\(330\) | −16.1307 | + | 11.7196i | −0.887966 | + | 0.645145i | ||||
\(331\) | 3.98217 | + | 12.2558i | 0.218880 | + | 0.673642i | 0.998855 | + | 0.0478326i | \(0.0152314\pi\) |
−0.779976 | + | 0.625810i | \(0.784769\pi\) | |||||||
\(332\) | −0.895010 | − | 0.650263i | −0.0491200 | − | 0.0356878i | ||||
\(333\) | −3.76895 | − | 2.73830i | −0.206537 | − | 0.150058i | ||||
\(334\) | −13.7931 | + | 10.0213i | −0.754726 | + | 0.548341i | ||||
\(335\) | 25.6059 | 1.39900 | ||||||||
\(336\) | 0.212227 | 0.0115780 | ||||||||
\(337\) | 25.1850 | − | 18.2980i | 1.37191 | − | 0.996754i | 0.374329 | − | 0.927296i | \(-0.377873\pi\) |
0.997585 | − | 0.0694582i | \(-0.0221271\pi\) | |||||||
\(338\) | 0.455627 | − | 1.40228i | 0.0247829 | − | 0.0762738i | ||||
\(339\) | −0.583808 | − | 1.79678i | −0.0317081 | − | 0.0975875i | ||||
\(340\) | −0.346226 | −0.0187767 | ||||||||
\(341\) | −32.0981 | − | 9.54179i | −1.73821 | − | 0.516717i | ||||
\(342\) | −4.87475 | −0.263596 | ||||||||
\(343\) | 0.203988 | + | 0.627812i | 0.0110143 | + | 0.0338987i | ||||
\(344\) | −3.51940 | + | 10.8316i | −0.189753 | + | 0.584001i | ||||
\(345\) | −7.87410 | + | 5.72087i | −0.423927 | + | 0.308001i | ||||
\(346\) | −33.5672 | −1.80458 | ||||||||
\(347\) | −10.9826 | −0.589577 | −0.294789 | − | 0.955562i | \(-0.595249\pi\) | ||||
−0.294789 | + | 0.955562i | \(0.595249\pi\) | |||||||
\(348\) | −0.777990 | + | 0.565243i | −0.0417046 | + | 0.0303002i | ||||
\(349\) | 4.42764 | + | 3.21687i | 0.237006 | + | 0.172195i | 0.699948 | − | 0.714193i | \(-0.253206\pi\) |
−0.462942 | + | 0.886388i | \(0.653206\pi\) | |||||||
\(350\) | −0.0194864 | − | 0.0141577i | −0.00104159 | − | 0.000756759i | ||||
\(351\) | −1.58260 | − | 4.87076i | −0.0844732 | − | 0.259982i | ||||
\(352\) | −4.77537 | + | 3.46951i | −0.254528 | + | 0.184926i | ||||
\(353\) | 4.47668 | + | 13.7778i | 0.238269 | + | 0.733318i | 0.996671 | + | 0.0815303i | \(0.0259807\pi\) |
−0.758401 | + | 0.651788i | \(0.774019\pi\) | |||||||
\(354\) | 4.42372 | − | 13.6148i | 0.235118 | − | 0.723620i | ||||
\(355\) | 19.2812 | + | 14.0086i | 1.02334 | + | 0.743500i | ||||
\(356\) | 0.158933 | − | 0.489145i | 0.00842343 | − | 0.0259247i | ||||
\(357\) | −0.0140123 | + | 0.0431255i | −0.000741612 | + | 0.00228245i | ||||
\(358\) | 3.53717 | + | 2.56991i | 0.186945 | + | 0.135824i | ||||
\(359\) | 11.0696 | − | 34.0686i | 0.584229 | − | 1.79807i | −0.0181142 | − | 0.999836i | \(-0.505766\pi\) |
0.602343 | − | 0.798237i | \(-0.294234\pi\) | |||||||
\(360\) | −3.43456 | − | 10.5705i | −0.181017 | − | 0.557114i | ||||
\(361\) | 12.9565 | − | 9.41344i | 0.681921 | − | 0.495444i | ||||
\(362\) | 5.55086 | + | 17.0838i | 0.291747 | + | 0.897904i | ||||
\(363\) | −21.2258 | − | 15.4215i | −1.11407 | − | 0.809417i | ||||
\(364\) | 0.00663757 | + | 0.00482248i | 0.000347903 | + | 0.000252766i | ||||
\(365\) | −2.84170 | + | 2.06461i | −0.148741 | + | 0.108067i | ||||
\(366\) | −7.86420 | −0.411069 | ||||||||
\(367\) | −11.4286 | −0.596571 | −0.298285 | − | 0.954477i | \(-0.596415\pi\) | ||||
−0.298285 | + | 0.954477i | \(0.596415\pi\) | |||||||
\(368\) | −15.1206 | + | 10.9858i | −0.788218 | + | 0.572674i | ||||
\(369\) | 6.49334 | − | 19.9844i | 0.338030 | − | 1.04035i | ||||
\(370\) | 2.39280 | + | 7.36427i | 0.124396 | + | 0.382850i | ||||
\(371\) | −0.290571 | −0.0150857 | ||||||||
\(372\) | 0.572658 | − | 0.831493i | 0.0296909 | − | 0.0431109i | ||||
\(373\) | 22.5258 | 1.16634 | 0.583170 | − | 0.812350i | \(-0.301812\pi\) | ||||
0.583170 | + | 0.812350i | \(0.301812\pi\) | |||||||
\(374\) | −2.52798 | − | 7.78033i | −0.130719 | − | 0.402311i | ||||
\(375\) | 3.71471 | − | 11.4327i | 0.191827 | − | 0.590383i | ||||
\(376\) | −14.3724 | + | 10.4422i | −0.741200 | + | 0.538513i | ||||
\(377\) | 5.30325 | 0.273131 | ||||||||
\(378\) | 0.356108 | 0.0183162 | ||||||||
\(379\) | −11.0867 | + | 8.05498i | −0.569487 | + | 0.413756i | −0.834919 | − | 0.550373i | \(-0.814485\pi\) |
0.265432 | + | 0.964130i | \(0.414485\pi\) | |||||||
\(380\) | 0.524571 | + | 0.381123i | 0.0269099 | + | 0.0195512i | ||||
\(381\) | 6.45574 | + | 4.69037i | 0.330738 | + | 0.240295i | ||||
\(382\) | 2.34956 | + | 7.23119i | 0.120214 | + | 0.369980i | ||||
\(383\) | −18.8553 | + | 13.6992i | −0.963461 | + | 0.699995i | −0.953952 | − | 0.299959i | \(-0.903027\pi\) |
−0.00950893 | + | 0.999955i | \(0.503027\pi\) | |||||||
\(384\) | 4.04589 | + | 12.4520i | 0.206466 | + | 0.635436i | ||||
\(385\) | −0.189072 | + | 0.581905i | −0.00963602 | + | 0.0296566i | ||||
\(386\) | −22.4906 | − | 16.3404i | −1.14474 | − | 0.831702i | ||||
\(387\) | −2.50147 | + | 7.69873i | −0.127157 | + | 0.391348i | ||||
\(388\) | 0.159160 | − | 0.489843i | 0.00808011 | − | 0.0248680i | ||||
\(389\) | −0.224680 | − | 0.163240i | −0.0113917 | − | 0.00827659i | 0.582075 | − | 0.813135i | \(-0.302241\pi\) |
−0.593467 | + | 0.804859i | \(0.702241\pi\) | |||||||
\(390\) | −1.02445 | + | 3.15293i | −0.0518750 | + | 0.159655i | ||||
\(391\) | −1.23402 | − | 3.79792i | −0.0624070 | − | 0.192069i | ||||
\(392\) | −15.2423 | + | 11.0742i | −0.769854 | + | 0.559332i | ||||
\(393\) | −4.68757 | − | 14.4268i | −0.236456 | − | 0.727738i | ||||
\(394\) | 17.9207 | + | 13.0201i | 0.902830 | + | 0.655944i | ||||
\(395\) | 10.1722 | + | 7.39050i | 0.511816 | + | 0.371856i | ||||
\(396\) | −1.61992 | + | 1.17694i | −0.0814038 | + | 0.0591434i | ||||
\(397\) | −19.5846 | −0.982924 | −0.491462 | − | 0.870899i | \(-0.663537\pi\) | ||||
−0.491462 | + | 0.870899i | \(0.663537\pi\) | |||||||
\(398\) | 12.5098 | 0.627062 | ||||||||
\(399\) | 0.0687026 | − | 0.0499154i | 0.00343943 | − | 0.00249889i | ||||
\(400\) | 0.462184 | − | 1.42246i | 0.0231092 | − | 0.0711228i | ||||
\(401\) | −4.29169 | − | 13.2085i | −0.214317 | − | 0.659599i | −0.999201 | − | 0.0399573i | \(-0.987278\pi\) |
0.784885 | − | 0.619642i | \(-0.212722\pi\) | |||||||
\(402\) | −18.2414 | −0.909800 | ||||||||
\(403\) | −5.25021 | + | 1.85347i | −0.261531 | + | 0.0923277i | ||||
\(404\) | 2.21357 | 0.110129 | ||||||||
\(405\) | −0.268610 | − | 0.826695i | −0.0133473 | − | 0.0410788i | ||||
\(406\) | −0.113950 | + | 0.350704i | −0.00565527 | + | 0.0174051i | ||||
\(407\) | −11.8453 | + | 8.60613i | −0.587150 | + | 0.426590i | ||||
\(408\) | −2.58880 | −0.128165 | ||||||||
\(409\) | −15.3061 | −0.756837 | −0.378418 | − | 0.925635i | \(-0.623532\pi\) | ||||
−0.378418 | + | 0.925635i | \(0.623532\pi\) | |||||||
\(410\) | −28.2556 | + | 20.5289i | −1.39545 | + | 1.01385i | ||||
\(411\) | −9.58464 | − | 6.96365i | −0.472775 | − | 0.343491i | ||||
\(412\) | −0.795368 | − | 0.577869i | −0.0391850 | − | 0.0284696i | ||||
\(413\) | −0.135749 | − | 0.417794i | −0.00667979 | − | 0.0205583i | ||||
\(414\) | −9.88115 | + | 7.17907i | −0.485632 | + | 0.352832i | ||||
\(415\) | −4.23896 | − | 13.0462i | −0.208082 | − | 0.640412i | ||||
\(416\) | −0.303281 | + | 0.933402i | −0.0148696 | + | 0.0457638i | ||||
\(417\) | 10.4350 | + | 7.58150i | 0.511006 | + | 0.371268i | ||||
\(418\) | −4.73436 | + | 14.5709i | −0.231565 | + | 0.712684i | ||||
\(419\) | −9.63447 | + | 29.6519i | −0.470675 | + | 1.44859i | 0.381028 | + | 0.924563i | \(0.375570\pi\) |
−0.851703 | + | 0.524025i | \(0.824430\pi\) | |||||||
\(420\) | −0.0149242 | − | 0.0108430i | −0.000728225 | − | 0.000529086i | ||||
\(421\) | −0.0366994 | + | 0.112949i | −0.00178862 | + | 0.00550480i | −0.951947 | − | 0.306263i | \(-0.900921\pi\) |
0.950158 | + | 0.311768i | \(0.100921\pi\) | |||||||
\(422\) | −7.32984 | − | 22.5589i | −0.356811 | − | 1.09815i | ||||
\(423\) | −10.2154 | + | 7.42193i | −0.496690 | + | 0.360866i | ||||
\(424\) | −5.12630 | − | 15.7771i | −0.248955 | − | 0.766206i | ||||
\(425\) | 0.258534 | + | 0.187836i | 0.0125407 | + | 0.00911137i | ||||
\(426\) | −13.7358 | − | 9.97963i | −0.665501 | − | 0.483515i | ||||
\(427\) | −0.195237 | + | 0.141848i | −0.00944819 | + | 0.00686451i | ||||
\(428\) | −1.60320 | −0.0774935 | ||||||||
\(429\) | −6.26865 | −0.302653 | ||||||||
\(430\) | 10.8851 | − | 7.90847i | 0.524925 | − | 0.381380i | ||||
\(431\) | 10.0997 | − | 31.0838i | 0.486487 | − | 1.49725i | −0.343329 | − | 0.939215i | \(-0.611555\pi\) |
0.829816 | − | 0.558037i | \(-0.188445\pi\) | |||||||
\(432\) | 6.83319 | + | 21.0304i | 0.328762 | + | 1.01182i | ||||
\(433\) | 3.25063 | 0.156215 | 0.0781077 | − | 0.996945i | \(-0.475112\pi\) | ||||
0.0781077 | + | 0.996945i | \(0.475112\pi\) | |||||||
\(434\) | −0.00975877 | − | 0.387021i | −0.000468436 | − | 0.0185776i | ||||
\(435\) | −11.9240 | −0.571714 | ||||||||
\(436\) | −0.753421 | − | 2.31879i | −0.0360823 | − | 0.111050i | ||||
\(437\) | −2.31105 | + | 7.11268i | −0.110552 | + | 0.340245i | ||||
\(438\) | 2.02440 | − | 1.47082i | 0.0967297 | − | 0.0702783i | ||||
\(439\) | −4.39087 | −0.209565 | −0.104782 | − | 0.994495i | \(-0.533415\pi\) | ||||
−0.104782 | + | 0.994495i | \(0.533415\pi\) | |||||||
\(440\) | −34.9314 | −1.66529 | ||||||||
\(441\) | −10.8337 | + | 7.87117i | −0.515892 | + | 0.374818i | ||||
\(442\) | −1.10043 | − | 0.799509i | −0.0523421 | − | 0.0380288i | ||||
\(443\) | 16.8983 | + | 12.2773i | 0.802863 | + | 0.583314i | 0.911753 | − | 0.410740i | \(-0.134730\pi\) |
−0.108890 | + | 0.994054i | \(0.534730\pi\) | |||||||
\(444\) | −0.136414 | − | 0.419838i | −0.00647391 | − | 0.0199246i | ||||
\(445\) | 5.15937 | − | 3.74850i | 0.244577 | − | 0.177696i | ||||
\(446\) | −9.58209 | − | 29.4906i | −0.453725 | − | 1.39642i | ||||
\(447\) | 6.08830 | − | 18.7379i | 0.287967 | − | 0.886271i | ||||
\(448\) | 0.274251 | + | 0.199255i | 0.0129571 | + | 0.00941390i | ||||
\(449\) | −4.71686 | + | 14.5170i | −0.222602 | + | 0.685100i | 0.775924 | + | 0.630827i | \(0.217284\pi\) |
−0.998526 | + | 0.0542731i | \(0.982716\pi\) | |||||||
\(450\) | 0.302031 | − | 0.929557i | 0.0142379 | − | 0.0438197i | ||||
\(451\) | −53.4282 | − | 38.8178i | −2.51583 | − | 1.82786i | ||||
\(452\) | −0.0974475 | + | 0.299913i | −0.00458355 | + | 0.0141067i | ||||
\(453\) | 0.751558 | + | 2.31306i | 0.0353113 | + | 0.108677i | ||||
\(454\) | −17.9385 | + | 13.0331i | −0.841895 | + | 0.611672i | ||||
\(455\) | 0.0314370 | + | 0.0967531i | 0.00147379 | + | 0.00453585i | ||||
\(456\) | 3.92232 | + | 2.84973i | 0.183679 | + | 0.133451i | ||||
\(457\) | 23.5165 | + | 17.0858i | 1.10006 | + | 0.799238i | 0.981069 | − | 0.193658i | \(-0.0620352\pi\) |
0.118987 | + | 0.992896i | \(0.462035\pi\) | |||||||
\(458\) | −8.42303 | + | 6.11969i | −0.393582 | + | 0.285954i | ||||
\(459\) | −4.72463 | −0.220527 | ||||||||
\(460\) | 1.62459 | 0.0757469 | ||||||||
\(461\) | −2.13758 | + | 1.55304i | −0.0995569 | + | 0.0723323i | −0.636450 | − | 0.771318i | \(-0.719598\pi\) |
0.536893 | + | 0.843650i | \(0.319598\pi\) | |||||||
\(462\) | 0.134694 | − | 0.414545i | 0.00626652 | − | 0.0192864i | ||||
\(463\) | 8.20265 | + | 25.2452i | 0.381209 | + | 1.17324i | 0.939193 | + | 0.343390i | \(0.111575\pi\) |
−0.557984 | + | 0.829852i | \(0.688425\pi\) | |||||||
\(464\) | −22.8978 | −1.06300 | ||||||||
\(465\) | 11.8048 | − | 4.16740i | 0.547433 | − | 0.193259i | ||||
\(466\) | 35.7856 | 1.65774 | ||||||||
\(467\) | −0.565729 | − | 1.74114i | −0.0261788 | − | 0.0805702i | 0.937114 | − | 0.349025i | \(-0.113487\pi\) |
−0.963292 | + | 0.268455i | \(0.913487\pi\) | |||||||
\(468\) | −0.102880 | + | 0.316631i | −0.00475562 | + | 0.0146363i | ||||
\(469\) | −0.452863 | + | 0.329024i | −0.0209113 | + | 0.0151929i | ||||
\(470\) | 20.9874 | 0.968078 | ||||||||
\(471\) | 5.22484 | 0.240748 | ||||||||
\(472\) | 20.2901 | − | 14.7416i | 0.933926 | − | 0.678537i | ||||
\(473\) | 20.5824 | + | 14.9540i | 0.946382 | + | 0.687587i | ||||
\(474\) | −7.24657 | − | 5.26494i | −0.332846 | − | 0.241827i | ||||
\(475\) | −0.184939 | − | 0.569184i | −0.00848559 | − | 0.0261160i | ||||
\(476\) | 0.00612331 | − | 0.00444885i | 0.000280662 | − | 0.000203913i | ||||
\(477\) | −3.64360 | − | 11.2139i | −0.166829 | − | 0.513447i | ||||
\(478\) | 10.7244 | − | 33.0064i | 0.490524 | − | 1.50968i | ||||
\(479\) | 6.03118 | + | 4.38191i | 0.275572 | + | 0.200215i | 0.716984 | − | 0.697090i | \(-0.245522\pi\) |
−0.441412 | + | 0.897305i | \(0.645522\pi\) | |||||||
\(480\) | 0.681908 | − | 2.09870i | 0.0311247 | − | 0.0957920i | ||||
\(481\) | −0.752288 | + | 2.31530i | −0.0343014 | + | 0.105569i | ||||
\(482\) | 34.7170 | + | 25.2234i | 1.58132 | + | 1.14889i | ||||
\(483\) | 0.0657499 | − | 0.202357i | 0.00299172 | − | 0.00920758i | ||||
\(484\) | 1.35329 | + | 4.16499i | 0.0615130 | + | 0.189318i | ||||
\(485\) | 5.16673 | − | 3.75385i | 0.234609 | − | 0.170453i | ||||
\(486\) | 7.19173 | + | 22.1339i | 0.326223 | + | 1.00401i | ||||
\(487\) | 29.7128 | + | 21.5876i | 1.34642 | + | 0.978228i | 0.999182 | + | 0.0404490i | \(0.0128788\pi\) |
0.347233 | + | 0.937779i | \(0.387121\pi\) | |||||||
\(488\) | −11.1463 | − | 8.09829i | −0.504571 | − | 0.366592i | ||||
\(489\) | −11.7450 | + | 8.53326i | −0.531129 | + | 0.385887i | ||||
\(490\) | 22.2578 | 1.00550 | ||||||||
\(491\) | −9.80456 | −0.442473 | −0.221237 | − | 0.975220i | \(-0.571009\pi\) | ||||
−0.221237 | + | 0.975220i | \(0.571009\pi\) | |||||||
\(492\) | 1.61086 | − | 1.17036i | 0.0726231 | − | 0.0527637i | ||||
\(493\) | 1.51183 | − | 4.65293i | 0.0680893 | − | 0.209557i | ||||
\(494\) | 0.787180 | + | 2.42269i | 0.0354169 | + | 0.109002i | ||||
\(495\) | −24.8280 | −1.11594 | ||||||||
\(496\) | 22.6687 | − | 8.00268i | 1.01786 | − | 0.359331i | ||||
\(497\) | −0.521010 | −0.0233705 | ||||||||
\(498\) | 3.01981 | + | 9.29401i | 0.135321 | + | 0.416475i | ||||
\(499\) | 12.4788 | − | 38.4059i | 0.558629 | − | 1.71928i | −0.127534 | − | 0.991834i | \(-0.540706\pi\) |
0.686163 | − | 0.727448i | \(-0.259294\pi\) | |||||||
\(500\) | −1.62331 | + | 1.17940i | −0.0725966 | + | 0.0527445i | ||||
\(501\) | 12.0521 | 0.538450 | ||||||||
\(502\) | −30.8945 | −1.37889 | ||||||||
\(503\) | 23.6648 | − | 17.1935i | 1.05516 | − | 0.766621i | 0.0819754 | − | 0.996634i | \(-0.473877\pi\) |
0.973187 | + | 0.230014i | \(0.0738771\pi\) | |||||||
\(504\) | 0.196570 | + | 0.142816i | 0.00875590 | + | 0.00636154i | ||||
\(505\) | 22.2054 | + | 16.1331i | 0.988126 | + | 0.717916i | ||||
\(506\) | 11.8620 | + | 36.5076i | 0.527331 | + | 1.62296i | ||||
\(507\) | −0.843227 | + | 0.612640i | −0.0374490 | + | 0.0272083i | ||||
\(508\) | −0.411596 | − | 1.26676i | −0.0182616 | − | 0.0562035i | ||||
\(509\) | 1.10024 | − | 3.38619i | 0.0487673 | − | 0.150090i | −0.923707 | − | 0.383099i | \(-0.874857\pi\) |
0.972475 | + | 0.233008i | \(0.0748569\pi\) | |||||||
\(510\) | 2.47425 | + | 1.79765i | 0.109562 | + | 0.0796012i | ||||
\(511\) | 0.0237286 | − | 0.0730291i | 0.00104969 | − | 0.00323062i | ||||
\(512\) | −5.87504 | + | 18.0815i | −0.259642 | + | 0.799097i | ||||
\(513\) | 7.15834 | + | 5.20084i | 0.316049 | + | 0.229623i | ||||
\(514\) | 7.15597 | − | 22.0238i | 0.315636 | − | 0.971429i | ||||
\(515\) | −3.76704 | − | 11.5938i | −0.165996 | − | 0.510882i | ||||
\(516\) | −0.620560 | + | 0.450863i | −0.0273186 | + | 0.0198482i | ||||
\(517\) | 12.2633 | + | 37.7425i | 0.539339 | + | 1.65991i | ||||
\(518\) | −0.136946 | − | 0.0994974i | −0.00601708 | − | 0.00437167i | ||||
\(519\) | 19.1969 | + | 13.9474i | 0.842651 | + | 0.612222i | ||||
\(520\) | −4.69879 | + | 3.41387i | −0.206056 | + | 0.149708i | ||||
\(521\) | 25.1419 | 1.10149 | 0.550744 | − | 0.834674i | \(-0.314344\pi\) | ||||
0.550744 | + | 0.834674i | \(0.314344\pi\) | |||||||
\(522\) | −14.9634 | −0.654930 | ||||||||
\(523\) | −13.2160 | + | 9.60196i | −0.577894 | + | 0.419865i | −0.837964 | − | 0.545725i | \(-0.816254\pi\) |
0.260070 | + | 0.965590i | \(0.416254\pi\) | |||||||
\(524\) | −0.782434 | + | 2.40809i | −0.0341808 | + | 0.105198i | ||||
\(525\) | 0.00526157 | + | 0.0161934i | 0.000229634 | + | 0.000706739i | ||||
\(526\) | −43.4749 | −1.89560 | ||||||||
\(527\) | 0.129474 | + | 5.13476i | 0.00563996 | + | 0.223674i | ||||
\(528\) | 27.0660 | 1.17790 | ||||||||
\(529\) | −1.31702 | − | 4.05337i | −0.0572618 | − | 0.176234i | ||||
\(530\) | −6.05609 | + | 18.6387i | −0.263060 | + | 0.809614i | ||||
\(531\) | 14.4215 | − | 10.4778i | 0.625839 | − | 0.454699i | ||||
\(532\) | −0.0141748 | −0.000614554 | ||||||||
\(533\) | −10.9806 | −0.475622 | ||||||||
\(534\) | −3.67550 | + | 2.67040i | −0.159054 | + | 0.115560i | ||||
\(535\) | −16.0824 | − | 11.6846i | −0.695304 | − | 0.505168i | ||||
\(536\) | −25.8545 | − | 18.7844i | −1.11675 | − | 0.811363i | ||||
\(537\) | −0.955082 | − | 2.93944i | −0.0412148 | − | 0.126846i | ||||
\(538\) | 7.44636 | − | 5.41010i | 0.321035 | − | 0.233246i | ||||
\(539\) | 13.0056 | + | 40.0270i | 0.560190 | + | 1.72409i | ||||
\(540\) | 0.593956 | − | 1.82801i | 0.0255598 | − | 0.0786649i | ||||
\(541\) | 5.13662 | + | 3.73198i | 0.220841 | + | 0.160450i | 0.692705 | − | 0.721221i | \(-0.256419\pi\) |
−0.471864 | + | 0.881671i | \(0.656419\pi\) | |||||||
\(542\) | 7.24315 | − | 22.2921i | 0.311120 | − | 0.957529i | ||||
\(543\) | 3.92392 | − | 12.0766i | 0.168391 | − | 0.518255i | ||||
\(544\) | 0.732483 | + | 0.532180i | 0.0314049 | + | 0.0228170i | ||||
\(545\) | 9.34211 | − | 28.7520i | 0.400172 | − | 1.23160i | ||||
\(546\) | −0.0223955 | − | 0.0689262i | −0.000958438 | − | 0.00294977i | ||||
\(547\) | −7.03679 | + | 5.11253i | −0.300871 | + | 0.218596i | −0.727970 | − | 0.685609i | \(-0.759536\pi\) |
0.427098 | + | 0.904205i | \(0.359536\pi\) | |||||||
\(548\) | 0.611084 | + | 1.88072i | 0.0261042 | + | 0.0803405i | ||||
\(549\) | −7.92244 | − | 5.75599i | −0.338121 | − | 0.245660i | ||||
\(550\) | −2.48516 | − | 1.80557i | −0.105967 | − | 0.0769899i | ||||
\(551\) | −7.41250 | + | 5.38550i | −0.315783 | + | 0.229430i | ||||
\(552\) | 12.1474 | 0.517027 | ||||||||
\(553\) | −0.274868 | −0.0116886 | ||||||||
\(554\) | 7.90713 | − | 5.74487i | 0.335942 | − | 0.244076i | ||||
\(555\) | 1.69147 | − | 5.20582i | 0.0717991 | − | 0.220975i | ||||
\(556\) | −0.665303 | − | 2.04759i | −0.0282151 | − | 0.0868373i | ||||
\(557\) | 22.7075 | 0.962146 | 0.481073 | − | 0.876681i | \(-0.340247\pi\) | ||||
0.481073 | + | 0.876681i | \(0.340247\pi\) | |||||||
\(558\) | 14.8137 | − | 5.22964i | 0.627115 | − | 0.221389i | ||||
\(559\) | 4.23012 | 0.178915 | ||||||||
\(560\) | −0.135735 | − | 0.417749i | −0.00573585 | − | 0.0176531i | ||||
\(561\) | −1.78704 | + | 5.49994i | −0.0754488 | + | 0.232207i | ||||
\(562\) | −2.57227 | + | 1.86887i | −0.108505 | + | 0.0788334i | ||||
\(563\) | −1.24554 | −0.0524931 | −0.0262466 | − | 0.999655i | \(-0.508355\pi\) | ||||
−0.0262466 | + | 0.999655i | \(0.508355\pi\) | |||||||
\(564\) | −1.19650 | −0.0503816 | ||||||||
\(565\) | −3.16339 | + | 2.29834i | −0.133085 | + | 0.0966919i | ||||
\(566\) | 1.25103 | + | 0.908928i | 0.0525848 | + | 0.0382051i | ||||
\(567\) | 0.0153733 | + | 0.0111693i | 0.000645617 | + | 0.000469068i | ||||
\(568\) | −9.19175 | − | 28.2893i | −0.385677 | − | 1.18699i | ||||
\(569\) | 10.1288 | − | 7.35902i | 0.424623 | − | 0.308506i | −0.354873 | − | 0.934915i | \(-0.615476\pi\) |
0.779495 | + | 0.626408i | \(0.215476\pi\) | |||||||
\(570\) | −1.76993 | − | 5.44728i | −0.0741341 | − | 0.228161i | ||||
\(571\) | −6.02200 | + | 18.5338i | −0.252013 | + | 0.775616i | 0.742390 | + | 0.669967i | \(0.233692\pi\) |
−0.994403 | + | 0.105649i | \(0.966308\pi\) | |||||||
\(572\) | 0.846510 | + | 0.615026i | 0.0353944 | + | 0.0257155i | ||||
\(573\) | 1.66091 | − | 5.11174i | 0.0693854 | − | 0.213546i | ||||
\(574\) | 0.235939 | − | 0.726145i | 0.00984789 | − | 0.0303087i | ||||
\(575\) | −1.21311 | − | 0.881379i | −0.0505903 | − | 0.0367560i | ||||
\(576\) | −4.25078 | + | 13.0826i | −0.177116 | + | 0.545107i | ||||
\(577\) | 6.68639 | + | 20.5786i | 0.278358 | + | 0.856698i | 0.988311 | + | 0.152449i | \(0.0487161\pi\) |
−0.709953 | + | 0.704249i | \(0.751284\pi\) | |||||||
\(578\) | 19.2632 | − | 13.9956i | 0.801245 | − | 0.582139i | ||||
\(579\) | 6.07274 | + | 18.6900i | 0.252374 | + | 0.776729i | ||||
\(580\) | 1.61021 | + | 1.16988i | 0.0668602 | + | 0.0485768i | ||||
\(581\) | 0.242608 | + | 0.176265i | 0.0100651 | + | 0.00731270i | ||||
\(582\) | −3.68074 | + | 2.67422i | −0.152572 | + | 0.110850i | ||||
\(583\) | −37.0574 | −1.53476 | ||||||||
\(584\) | 4.38389 | 0.181407 | ||||||||
\(585\) | −3.33974 | + | 2.42646i | −0.138081 | + | 0.100322i | ||||
\(586\) | 11.6217 | − | 35.7679i | 0.480087 | − | 1.47756i | ||||
\(587\) | 4.29080 | + | 13.2057i | 0.177100 | + | 0.545058i | 0.999723 | − | 0.0235291i | \(-0.00749023\pi\) |
−0.822623 | + | 0.568587i | \(0.807490\pi\) | |||||||
\(588\) | −1.26892 | −0.0523294 | ||||||||
\(589\) | 5.45615 | − | 7.92226i | 0.224817 | − | 0.326431i | ||||
\(590\) | −29.6288 | −1.21980 | ||||||||
\(591\) | −4.83881 | − | 14.8923i | −0.199042 | − | 0.612588i | ||||
\(592\) | 3.24814 | − | 9.99675i | 0.133498 | − | 0.410864i | ||||
\(593\) | 22.4554 | − | 16.3148i | 0.922133 | − | 0.669969i | −0.0219211 | − | 0.999760i | \(-0.506978\pi\) |
0.944054 | + | 0.329791i | \(0.106978\pi\) | |||||||
\(594\) | 45.4155 | 1.86342 | ||||||||
\(595\) | 0.0938504 | 0.00384749 | ||||||||
\(596\) | −2.66055 | + | 1.93301i | −0.108981 | + | 0.0791790i | ||||
\(597\) | −7.15433 | − | 5.19792i | −0.292807 | − | 0.212737i | ||||
\(598\) | 5.16353 | + | 3.75153i | 0.211153 | + | 0.153411i | ||||
\(599\) | −1.56978 | − | 4.83129i | −0.0641396 | − | 0.197401i | 0.913851 | − | 0.406049i | \(-0.133094\pi\) |
−0.977991 | + | 0.208648i | \(0.933094\pi\) | |||||||
\(600\) | −0.786430 | + | 0.571375i | −0.0321059 | + | 0.0233263i | ||||
\(601\) | −13.9472 | − | 42.9251i | −0.568919 | − | 1.75095i | −0.656011 | − | 0.754752i | \(-0.727757\pi\) |
0.0870917 | − | 0.996200i | \(-0.472243\pi\) | |||||||
\(602\) | −0.0908921 | + | 0.279737i | −0.00370448 | + | 0.0114012i | ||||
\(603\) | −18.3765 | − | 13.3513i | −0.748349 | − | 0.543707i | ||||
\(604\) | 0.125448 | − | 0.386089i | 0.00510440 | − | 0.0157097i | ||||
\(605\) | −16.7802 | + | 51.6441i | −0.682212 | + | 2.09963i | ||||
\(606\) | −15.8189 | − | 11.4931i | −0.642601 | − | 0.466877i | ||||
\(607\) | 10.1900 | − | 31.3615i | 0.413598 | − | 1.27292i | −0.499900 | − | 0.866083i | \(-0.666630\pi\) |
0.913499 | − | 0.406842i | \(-0.133370\pi\) | |||||||
\(608\) | −0.523974 | − | 1.61262i | −0.0212499 | − | 0.0654006i | ||||
\(609\) | 0.210888 | − | 0.153219i | 0.00854559 | − | 0.00620874i | ||||
\(610\) | 5.02973 | + | 15.4799i | 0.203648 | + | 0.626764i | ||||
\(611\) | 5.33820 | + | 3.87843i | 0.215961 | + | 0.156905i | ||||
\(612\) | 0.248475 | + | 0.180528i | 0.0100440 | + | 0.00729740i | ||||
\(613\) | 18.7566 | − | 13.6274i | 0.757571 | − | 0.550407i | −0.140593 | − | 0.990067i | \(-0.544901\pi\) |
0.898164 | + | 0.439660i | \(0.144901\pi\) | |||||||
\(614\) | 41.7663 | 1.68555 | ||||||||
\(615\) | 24.6892 | 0.995563 | ||||||||
\(616\) | 0.617793 | − | 0.448853i | 0.0248916 | − | 0.0180848i | ||||
\(617\) | −10.7551 | + | 33.1007i | −0.432983 | + | 1.33259i | 0.462156 | + | 0.886799i | \(0.347076\pi\) |
−0.895139 | + | 0.445787i | \(0.852924\pi\) | |||||||
\(618\) | 2.68361 | + | 8.25931i | 0.107951 | + | 0.332238i | ||||
\(619\) | −13.1279 | −0.527654 | −0.263827 | − | 0.964570i | \(-0.584985\pi\) | ||||
−0.263827 | + | 0.964570i | \(0.584985\pi\) | |||||||
\(620\) | −2.00297 | − | 0.595421i | −0.0804412 | − | 0.0239127i | ||||
\(621\) | 22.1693 | 0.889624 | ||||||||
\(622\) | 5.74829 | + | 17.6914i | 0.230485 | + | 0.709361i | ||||
\(623\) | −0.0430815 | + | 0.132591i | −0.00172602 | + | 0.00531215i | ||||
\(624\) | 3.64079 | − | 2.64519i | 0.145748 | − | 0.105892i | ||||
\(625\) | −23.1480 | −0.925920 | ||||||||
\(626\) | 10.1451 | 0.405480 | ||||||||
\(627\) | 8.76186 | − | 6.36586i | 0.349915 | − | 0.254228i | ||||
\(628\) | −0.705556 | − | 0.512616i | −0.0281547 | − | 0.0204556i | ||||
\(629\) | 1.81692 | + | 1.32007i | 0.0724455 | + | 0.0526348i | ||||
\(630\) | −0.0887010 | − | 0.272994i | −0.00353393 | − | 0.0108763i | ||||
\(631\) | 5.57591 | − | 4.05113i | 0.221973 | − | 0.161273i | −0.471241 | − | 0.882004i | \(-0.656194\pi\) |
0.693214 | + | 0.720731i | \(0.256194\pi\) | |||||||
\(632\) | −4.84928 | − | 14.9245i | −0.192894 | − | 0.593666i | ||||
\(633\) | −5.18148 | + | 15.9470i | −0.205945 | + | 0.633834i | ||||
\(634\) | 0.729321 | + | 0.529883i | 0.0289650 | + | 0.0210443i | ||||
\(635\) | 5.10362 | − | 15.7073i | 0.202531 | − | 0.623327i | ||||
\(636\) | 0.345259 | − | 1.06260i | 0.0136904 | − | 0.0421347i | ||||
\(637\) | 5.66132 | + | 4.11319i | 0.224310 | + | 0.162971i | ||||
\(638\) | −14.5325 | + | 44.7263i | −0.575346 | + | 1.77073i | ||||
\(639\) | −6.53318 | − | 20.1071i | −0.258449 | − | 0.795423i | ||||
\(640\) | 21.9228 | − | 15.9279i | 0.866576 | − | 0.629604i | ||||
\(641\) | 6.46768 | + | 19.9055i | 0.255458 | + | 0.786219i | 0.993739 | + | 0.111726i | \(0.0356379\pi\) |
−0.738281 | + | 0.674493i | \(0.764362\pi\) | |||||||
\(642\) | 11.4570 | + | 8.32401i | 0.452172 | + | 0.328522i | ||||
\(643\) | 21.2447 | + | 15.4352i | 0.837809 | + | 0.608704i | 0.921758 | − | 0.387766i | \(-0.126753\pi\) |
−0.0839485 | + | 0.996470i | \(0.526753\pi\) | |||||||
\(644\) | −0.0287323 | + | 0.0208753i | −0.00113221 | + | 0.000822601i | ||||
\(645\) | −9.51116 | −0.374501 | ||||||||
\(646\) | 2.35001 | 0.0924599 | ||||||||
\(647\) | −22.9914 | + | 16.7043i | −0.903887 | + | 0.656712i | −0.939461 | − | 0.342655i | \(-0.888674\pi\) |
0.0355747 | + | 0.999367i | \(0.488674\pi\) | |||||||
\(648\) | −0.335244 | + | 1.03178i | −0.0131696 | + | 0.0405320i | ||||
\(649\) | −17.3126 | − | 53.2826i | −0.679577 | − | 2.09152i | ||||
\(650\) | −0.510751 | −0.0200333 | ||||||||
\(651\) | −0.155229 | + | 0.225390i | −0.00608389 | + | 0.00883375i | ||||
\(652\) | 2.42324 | 0.0949015 | ||||||||
\(653\) | −1.77227 | − | 5.45448i | −0.0693542 | − | 0.213450i | 0.910372 | − | 0.413790i | \(-0.135795\pi\) |
−0.979726 | + | 0.200340i | \(0.935795\pi\) | |||||||
\(654\) | −6.65525 | + | 20.4828i | −0.260241 | + | 0.800939i | ||||
\(655\) | −25.3998 | + | 18.4540i | −0.992452 | + | 0.721059i | ||||
\(656\) | 47.4107 | 1.85108 | ||||||||
\(657\) | 3.11592 | 0.121564 | ||||||||
\(658\) | −0.371182 | + | 0.269679i | −0.0144702 | + | 0.0105132i | ||||
\(659\) | 30.0855 | + | 21.8584i | 1.17196 | + | 0.851482i | 0.991243 | − | 0.132052i | \(-0.0421566\pi\) |
0.180722 | + | 0.983534i | \(0.442157\pi\) | |||||||
\(660\) | −1.90333 | − | 1.38285i | −0.0740869 | − | 0.0538273i | ||||
\(661\) | 3.72982 | + | 11.4792i | 0.145073 | + | 0.446489i | 0.997020 | − | 0.0771384i | \(-0.0245783\pi\) |
−0.851947 | + | 0.523628i | \(0.824578\pi\) | |||||||
\(662\) | −15.3717 | + | 11.1682i | −0.597438 | + | 0.434064i | ||||
\(663\) | 0.297130 | + | 0.914472i | 0.0115396 | + | 0.0355152i | ||||
\(664\) | −5.29053 | + | 16.2826i | −0.205312 | + | 0.631887i | ||||
\(665\) | −0.142194 | − | 0.103310i | −0.00551404 | − | 0.00400619i | ||||
\(666\) | 2.12262 | − | 6.53275i | 0.0822498 | − | 0.253139i | ||||
\(667\) | −7.09393 | + | 21.8329i | −0.274678 | + | 0.845372i | ||||
\(668\) | −1.62751 | − | 1.18245i | −0.0629701 | − | 0.0457504i | ||||
\(669\) | −6.77360 | + | 20.8470i | −0.261883 | + | 0.805992i | ||||
\(670\) | 11.6667 | + | 35.9065i | 0.450725 | + | 1.38719i | ||||
\(671\) | −24.8992 | + | 18.0903i | −0.961223 | + | 0.698370i | ||||
\(672\) | 0.0149072 | + | 0.0458796i | 0.000575057 | + | 0.00176984i | ||||
\(673\) | −2.33061 | − | 1.69329i | −0.0898384 | − | 0.0652714i | 0.541959 | − | 0.840405i | \(-0.317683\pi\) |
−0.631798 | + | 0.775133i | \(0.717683\pi\) | |||||||
\(674\) | 37.1338 | + | 26.9793i | 1.43034 | + | 1.03920i | ||||
\(675\) | −1.43526 | + | 1.04278i | −0.0552431 | + | 0.0401364i | ||||
\(676\) | 0.173975 | 0.00669135 | ||||||||
\(677\) | −12.4768 | −0.479521 | −0.239760 | − | 0.970832i | \(-0.577069\pi\) | ||||
−0.239760 | + | 0.970832i | \(0.577069\pi\) | |||||||
\(678\) | 2.25358 | − | 1.63732i | 0.0865482 | − | 0.0628809i | ||||
\(679\) | −0.0431430 | + | 0.132780i | −0.00165568 | + | 0.00509565i | ||||
\(680\) | 1.65572 | + | 5.09580i | 0.0634942 | + | 0.195415i | ||||
\(681\) | 15.6743 | 0.600640 | ||||||||
\(682\) | −1.24457 | − | 49.3580i | −0.0476569 | − | 1.89001i | ||||
\(683\) | 48.8646 | 1.86975 | 0.934876 | − | 0.354973i | \(-0.115510\pi\) | ||||
0.934876 | + | 0.354973i | \(0.115510\pi\) | |||||||
\(684\) | −0.177744 | − | 0.547040i | −0.00679621 | − | 0.0209166i | ||||
\(685\) | −7.57719 | + | 23.3202i | −0.289509 | + | 0.891019i | ||||
\(686\) | −0.787423 | + | 0.572096i | −0.0300639 | + | 0.0218427i | ||||
\(687\) | 7.35987 | 0.280796 | ||||||||
\(688\) | −18.2643 | −0.696320 | ||||||||
\(689\) | −4.98478 | + | 3.62165i | −0.189905 | + | 0.137974i | ||||
\(690\) | −11.6099 | − | 8.43508i | −0.441981 | − | 0.321118i | ||||
\(691\) | 6.15257 | + | 4.47010i | 0.234055 | + | 0.170051i | 0.698630 | − | 0.715483i | \(-0.253793\pi\) |
−0.464576 | + | 0.885533i | \(0.653793\pi\) | |||||||
\(692\) | −1.22393 | − | 3.76687i | −0.0465269 | − | 0.143195i | ||||
\(693\) | 0.439106 | − | 0.319029i | 0.0166803 | − | 0.0121189i | ||||
\(694\) | −5.00397 | − | 15.4006i | −0.189948 | − | 0.584601i | ||||
\(695\) | 8.24948 | − | 25.3893i | 0.312921 | − | 0.963071i | ||||
\(696\) | 12.0398 | + | 8.74746i | 0.456369 | + | 0.331571i | ||||
\(697\) | −3.13029 | + | 9.63406i | −0.118568 | + | 0.364916i | ||||
\(698\) | −2.49359 | + | 7.67447i | −0.0943836 | + | 0.290483i | ||||
\(699\) | −20.4656 | − | 14.8692i | −0.774081 | − | 0.562403i | ||||
\(700\) | 0.000878245 | − | 0.00270296i | 3.31945e−5 | − | 0.000102162i | ||||
\(701\) | −4.89485 | − | 15.0648i | −0.184876 | − | 0.568990i | 0.815070 | − | 0.579362i | \(-0.196698\pi\) |
−0.999946 | + | 0.0103722i | \(0.996698\pi\) | |||||||
\(702\) | 6.10907 | − | 4.43850i | 0.230572 | − | 0.167520i | ||||
\(703\) | −1.29972 | − | 4.00012i | −0.0490198 | − | 0.150867i | ||||
\(704\) | 34.9760 | + | 25.4116i | 1.31821 | + | 0.957735i | ||||
\(705\) | −12.0026 | − | 8.72042i | −0.452045 | − | 0.328430i | ||||
\(706\) | −17.2806 | + | 12.5551i | −0.650363 | + | 0.472517i | ||||
\(707\) | −0.600026 | −0.0225663 | ||||||||
\(708\) | 1.68914 | 0.0634818 | ||||||||
\(709\) | 27.5711 | − | 20.0316i | 1.03546 | − | 0.752303i | 0.0660627 | − | 0.997815i | \(-0.478956\pi\) |
0.969393 | + | 0.245513i | \(0.0789563\pi\) | |||||||
\(710\) | −10.8589 | + | 33.4203i | −0.407527 | + | 1.25424i | ||||
\(711\) | −3.44670 | − | 10.6079i | −0.129261 | − | 0.397826i | ||||
\(712\) | −7.95936 | −0.298290 | ||||||||
\(713\) | −0.607527 | − | 24.0938i | −0.0227521 | − | 0.902319i | ||||
\(714\) | −0.0668583 | −0.00250211 | ||||||||
\(715\) | 4.00926 | + | 12.3392i | 0.149938 | + | 0.461461i | ||||
\(716\) | −0.159419 | + | 0.490642i | −0.00595778 | + | 0.0183362i | ||||
\(717\) | −19.8476 | + | 14.4201i | −0.741223 | + | 0.538530i | ||||
\(718\) | 52.8172 | 1.97112 | ||||||||
\(719\) | 21.1714 | 0.789560 | 0.394780 | − | 0.918776i | \(-0.370821\pi\) | ||||
0.394780 | + | 0.918776i | \(0.370821\pi\) | |||||||
\(720\) | 14.4199 | − | 10.4767i | 0.537399 | − | 0.390443i | ||||
\(721\) | 0.215598 | + | 0.156641i | 0.00802930 | + | 0.00583363i | ||||
\(722\) | 19.1036 | + | 13.8796i | 0.710961 | + | 0.516544i | ||||
\(723\) | −9.37404 | − | 28.8503i | −0.348624 | − | 1.07296i | ||||
\(724\) | −1.71473 | + | 1.24582i | −0.0637274 | + | 0.0463007i | ||||
\(725\) | −0.567684 | − | 1.74715i | −0.0210833 | − | 0.0648876i | ||||
\(726\) | 11.9541 | − | 36.7909i | 0.443658 | − | 1.36544i | ||||
\(727\) | 2.32539 | + | 1.68949i | 0.0862438 | + | 0.0626598i | 0.630072 | − | 0.776537i | \(-0.283026\pi\) |
−0.543828 | + | 0.839197i | \(0.683026\pi\) | |||||||
\(728\) | 0.0392356 | − | 0.120755i | 0.00145417 | − | 0.00447547i | ||||
\(729\) | 4.71030 | − | 14.4968i | 0.174455 | − | 0.536919i | ||||
\(730\) | −4.18991 | − | 3.04415i | −0.155076 | − | 0.112669i | ||||
\(731\) | 1.20590 | − | 3.71139i | 0.0446019 | − | 0.137271i | ||||
\(732\) | −0.286746 | − | 0.882513i | −0.0105984 | − | 0.0326186i | ||||
\(733\) | −21.3929 | + | 15.5428i | −0.790164 | + | 0.574088i | −0.908012 | − | 0.418944i | \(-0.862400\pi\) |
0.117848 | + | 0.993032i | \(0.462400\pi\) | |||||||
\(734\) | −5.20720 | − | 16.0261i | −0.192201 | − | 0.591535i | ||||
\(735\) | −12.7291 | − | 9.24826i | −0.469521 | − | 0.341127i | ||||
\(736\) | −3.43702 | − | 2.49714i | −0.126690 | − | 0.0920458i | ||||
\(737\) | −57.7550 | + | 41.9615i | −2.12743 | + | 1.54567i | ||||
\(738\) | 30.9823 | 1.14047 | ||||||||
\(739\) | −11.6366 | −0.428060 | −0.214030 | − | 0.976827i | \(-0.568659\pi\) | ||||
−0.214030 | + | 0.976827i | \(0.568659\pi\) | |||||||
\(740\) | −0.739165 | + | 0.537035i | −0.0271722 | + | 0.0197418i | ||||
\(741\) | 0.556460 | − | 1.71261i | 0.0204421 | − | 0.0629142i | ||||
\(742\) | −0.132392 | − | 0.407461i | −0.00486026 | − | 0.0149584i | ||||
\(743\) | −51.8210 | −1.90113 | −0.950565 | − | 0.310526i | \(-0.899495\pi\) | ||||
−0.950565 | + | 0.310526i | \(0.899495\pi\) | |||||||
\(744\) | −14.9766 | − | 4.45208i | −0.549069 | − | 0.163221i | ||||
\(745\) | −40.7776 | −1.49398 | ||||||||
\(746\) | 10.2634 | + | 31.5873i | 0.375768 | + | 1.15649i | ||||
\(747\) | −3.76033 | + | 11.5731i | −0.137583 | + | 0.423438i | ||||
\(748\) | 0.780925 | − | 0.567376i | 0.0285535 | − | 0.0207453i | ||||
\(749\) | 0.434574 | 0.0158790 | ||||||||
\(750\) | 17.7243 | 0.647201 | ||||||||
\(751\) | −20.2054 | + | 14.6801i | −0.737304 | + | 0.535683i | −0.891866 | − | 0.452300i | \(-0.850603\pi\) |
0.154562 | + | 0.987983i | \(0.450603\pi\) | |||||||
\(752\) | −23.0487 | − | 16.7458i | −0.840499 | − | 0.610658i | ||||
\(753\) | 17.6685 | + | 12.8369i | 0.643875 | + | 0.467802i | ||||
\(754\) | 2.41631 | + | 7.43663i | 0.0879967 | + | 0.270826i | ||||
\(755\) | 4.07235 | − | 2.95874i | 0.148208 | − | 0.107679i | ||||
\(756\) | 0.0129845 | + | 0.0399621i | 0.000472240 | + | 0.00145341i | ||||
\(757\) | −3.60140 | + | 11.0840i | −0.130895 | + | 0.402853i | −0.994929 | − | 0.100580i | \(-0.967930\pi\) |
0.864034 | + | 0.503433i | \(0.167930\pi\) | |||||||
\(758\) | −16.3467 | − | 11.8766i | −0.593739 | − | 0.431377i | ||||
\(759\) | 8.38529 | − | 25.8073i | 0.304367 | − | 0.936745i | ||||
\(760\) | 3.10081 | − | 9.54332i | 0.112478 | − | 0.346172i | ||||
\(761\) | −16.4154 | − | 11.9265i | −0.595058 | − | 0.432335i | 0.249064 | − | 0.968487i | \(-0.419877\pi\) |
−0.844121 | + | 0.536152i | \(0.819877\pi\) | |||||||
\(762\) | −3.63579 | + | 11.1898i | −0.131711 | + | 0.405364i | ||||
\(763\) | 0.204228 | + | 0.628548i | 0.00739354 | + | 0.0227550i | ||||
\(764\) | −0.725807 | + | 0.527330i | −0.0262588 | + | 0.0190781i | ||||
\(765\) | 1.17683 | + | 3.62192i | 0.0425485 | + | 0.130951i | ||||
\(766\) | −27.8010 | − | 20.1986i | −1.00449 | − | 0.729806i | ||||
\(767\) | −7.53615 | − | 5.47533i | −0.272114 | − | 0.197703i | ||||
\(768\) | −3.49494 | + | 2.53923i | −0.126113 | + | 0.0916264i | ||||
\(769\) | −28.0129 | −1.01017 | −0.505085 | − | 0.863069i | \(-0.668539\pi\) | ||||
−0.505085 | + | 0.863069i | \(0.668539\pi\) | |||||||
\(770\) | −0.902138 | −0.0325108 | ||||||||
\(771\) | −13.2435 | + | 9.62198i | −0.476954 | + | 0.346527i | ||||
\(772\) | 1.01364 | − | 3.11967i | 0.0364818 | − | 0.112280i | ||||
\(773\) | 6.45478 | + | 19.8658i | 0.232162 | + | 0.714522i | 0.997485 | + | 0.0708757i | \(0.0225794\pi\) |
−0.765323 | + | 0.643647i | \(0.777421\pi\) | |||||||
\(774\) | −11.9355 | −0.429012 | ||||||||
\(775\) | 1.17263 | + | 1.53127i | 0.0421220 | + | 0.0550049i | ||||
\(776\) | −7.97072 | −0.286132 | ||||||||
\(777\) | 0.0369773 | + | 0.113804i | 0.00132655 | + | 0.00408271i | ||||
\(778\) | 0.126537 | − | 0.389441i | 0.00453657 | − | 0.0139621i | ||||
\(779\) | 15.3479 | − | 11.1509i | 0.549894 | − | 0.399521i | ||||
\(780\) | −0.391173 | −0.0140062 | ||||||||
\(781\) | −66.4460 | −2.37763 | ||||||||
\(782\) | 4.76348 | − | 3.46087i | 0.170342 | − | 0.123761i | ||||
\(783\) | 21.9730 | + | 15.9644i | 0.785253 | + | 0.570519i | ||||
\(784\) | −24.4438 | − | 17.7594i | −0.872992 | − | 0.634266i | ||||
\(785\) | −3.34167 | − | 10.2846i | −0.119269 | − | 0.367073i | ||||
\(786\) | 18.0946 | − | 13.1465i | 0.645414 | − | 0.468921i | ||||
\(787\) | 5.82452 | + | 17.9260i | 0.207622 | + | 0.638994i | 0.999596 | + | 0.0284391i | \(0.00905366\pi\) |
−0.791974 | + | 0.610555i | \(0.790946\pi\) | |||||||
\(788\) | −0.807679 | + | 2.48578i | −0.0287724 | + | 0.0885523i | ||||
\(789\) | 24.8631 | + | 18.0641i | 0.885151 | + | 0.643100i | ||||
\(790\) | −5.72882 | + | 17.6315i | −0.203822 | + | 0.627300i | ||||
\(791\) | 0.0264148 | − | 0.0812964i | 0.000939203 | − | 0.00289057i | ||||
\(792\) | 25.0691 | + | 18.2138i | 0.890793 | + | 0.647199i | ||||
\(793\) | −1.58133 | + | 4.86684i | −0.0561548 | + | 0.172827i | ||||
\(794\) | −8.92329 | − | 27.4630i | −0.316676 | − | 0.974627i | ||||
\(795\) | 11.2080 | − | 8.14306i | 0.397506 | − | 0.288805i | ||||
\(796\) | 0.456136 | + | 1.40384i | 0.0161673 | + | 0.0497578i | ||||
\(797\) | 22.0015 | + | 15.9850i | 0.779334 | + | 0.566219i | 0.904779 | − | 0.425881i | \(-0.140036\pi\) |
−0.125445 | + | 0.992101i | \(0.540036\pi\) | |||||||
\(798\) | 0.101298 | + | 0.0735972i | 0.00358591 | + | 0.00260531i | ||||
\(799\) | 4.92462 | − | 3.57794i | 0.174220 | − | 0.126579i | ||||
\(800\) | 0.339973 | 0.0120199 | ||||||||
\(801\) | −5.65724 | −0.199889 | ||||||||
\(802\) | 16.5665 | − | 12.0363i | 0.584984 | − | 0.425016i | ||||
\(803\) | 3.02618 | − | 9.31363i | 0.106792 | − | 0.328671i | ||||
\(804\) | −0.665122 | − | 2.04703i | −0.0234570 | − | 0.0721933i | ||||
\(805\) | −0.440373 | −0.0155211 | ||||||||
\(806\) | −4.99121 | − | 6.51775i | −0.175808 | − | 0.229578i | ||||
\(807\) | −6.50647 | −0.229039 | ||||||||
\(808\) | −10.5858 | − | 32.5796i | −0.372406 | − | 1.14615i | ||||
\(809\) | 5.98806 | − | 18.4293i | 0.210529 | − | 0.647941i | −0.788912 | − | 0.614506i | \(-0.789355\pi\) |
0.999441 | − | 0.0334350i | \(-0.0106447\pi\) | |||||||
\(810\) | 1.03687 | − | 0.753330i | 0.0364319 | − | 0.0264693i | ||||
\(811\) | −12.4810 | −0.438266 | −0.219133 | − | 0.975695i | \(-0.570323\pi\) | ||||
−0.219133 | + | 0.975695i | \(0.570323\pi\) | |||||||
\(812\) | −0.0435105 | −0.00152692 | ||||||||
\(813\) | −13.4049 | + | 9.73920i | −0.470129 | + | 0.341569i | ||||
\(814\) | −17.4652 | − | 12.6892i | −0.612155 | − | 0.444757i | ||||
\(815\) | 24.3087 | + | 17.6613i | 0.851497 | + | 0.618648i | ||||
\(816\) | −1.28291 | − | 3.94840i | −0.0449109 | − | 0.138222i | ||||
\(817\) | −5.91255 | + | 4.29572i | −0.206854 | + | 0.150288i | ||||
\(818\) | −6.97386 | − | 21.4633i | −0.243835 | − | 0.750448i | ||||
\(819\) | 0.0278873 | − | 0.0858284i | 0.000974462 | − | 0.00299909i | ||||
\(820\) | −3.33399 | − | 2.42229i | −0.116428 | − | 0.0845900i | ||||
\(821\) | −14.3706 | + | 44.2282i | −0.501538 | + | 1.54357i | 0.304977 | + | 0.952360i | \(0.401351\pi\) |
−0.806514 | + | 0.591214i | \(0.798649\pi\) | |||||||
\(822\) | 5.39794 | − | 16.6131i | 0.188275 | − | 0.579450i | ||||
\(823\) | 17.1742 | + | 12.4778i | 0.598654 | + | 0.434948i | 0.845401 | − | 0.534132i | \(-0.179362\pi\) |
−0.246747 | + | 0.969080i | \(0.579362\pi\) | |||||||
\(824\) | −4.70154 | + | 14.4698i | −0.163786 | + | 0.504081i | ||||
\(825\) | 0.671024 | + | 2.06520i | 0.0233621 | + | 0.0719010i | ||||
\(826\) | 0.524011 | − | 0.380717i | 0.0182327 | − | 0.0132468i | ||||
\(827\) | −9.11624 | − | 28.0569i | −0.317003 | − | 0.975634i | −0.974922 | − | 0.222546i | \(-0.928563\pi\) |
0.657920 | − | 0.753088i | \(-0.271437\pi\) | |||||||
\(828\) | −1.16592 | − | 0.847088i | −0.0405184 | − | 0.0294383i | ||||
\(829\) | −26.4511 | − | 19.2178i | −0.918683 | − | 0.667462i | 0.0245129 | − | 0.999700i | \(-0.492197\pi\) |
−0.943196 | + | 0.332237i | \(0.892197\pi\) | |||||||
\(830\) | 16.3630 | − | 11.8884i | 0.567967 | − | 0.412652i | ||||
\(831\) | −6.90909 | −0.239674 | ||||||||
\(832\) | 7.18830 | 0.249209 | ||||||||
\(833\) | 5.22270 | − | 3.79451i | 0.180956 | − | 0.131472i | ||||
\(834\) | −5.87687 | + | 18.0872i | −0.203499 | + | 0.626307i | ||||
\(835\) | −7.70822 | − | 23.7235i | −0.266754 | − | 0.820985i | ||||
\(836\) | −1.80775 | −0.0625224 | ||||||||
\(837\) | −27.3327 | − | 8.12517i | −0.944757 | − | 0.280847i | ||||
\(838\) | −45.9698 | −1.58800 | ||||||||
\(839\) | −10.4371 | − | 32.1219i | −0.360327 | − | 1.10897i | −0.952856 | − | 0.303423i | \(-0.901870\pi\) |
0.592529 | − | 0.805549i | \(-0.298130\pi\) | |||||||
\(840\) | −0.0882189 | + | 0.271510i | −0.00304384 | + | 0.00936798i | ||||
\(841\) | 0.708290 | − | 0.514603i | 0.0244238 | − | 0.0177449i | ||||
\(842\) | −0.175107 | −0.00603459 | ||||||||
\(843\) | 2.24760 | 0.0774114 | ||||||||
\(844\) | 2.26428 | − | 1.64509i | 0.0779396 | − | 0.0566265i | ||||
\(845\) | 1.74523 | + | 1.26798i | 0.0600376 | + | 0.0436199i | ||||
\(846\) | −15.0620 | − | 10.9432i | −0.517842 | − | 0.376235i | ||||
\(847\) | −0.366832 | − | 1.12899i | −0.0126045 | − | 0.0387926i | ||||
\(848\) | 21.5227 | − | 15.6371i | 0.739092 | − | 0.536982i | ||||
\(849\) | −0.337795 | − | 1.03962i | −0.0115931 | − | 0.0356798i | ||||
\(850\) | −0.145603 | + | 0.448119i | −0.00499413 | + | 0.0153703i | ||||
\(851\) | −8.52553 | − | 6.19416i | −0.292251 | − | 0.212333i | ||||
\(852\) | 0.619068 | − | 1.90530i | 0.0212089 | − | 0.0652743i | ||||
\(853\) | 3.84553 | − | 11.8353i | 0.131669 | − | 0.405234i | −0.863388 | − | 0.504540i | \(-0.831662\pi\) |
0.995057 | + | 0.0993058i | \(0.0316622\pi\) | |||||||
\(854\) | −0.287866 | − | 0.209147i | −0.00985056 | − | 0.00715685i | ||||
\(855\) | 2.20395 | − | 6.78306i | 0.0753735 | − | 0.231976i | ||||
\(856\) | 7.66684 | + | 23.5961i | 0.262047 | + | 0.806498i | ||||
\(857\) | −44.6805 | + | 32.4623i | −1.52626 | + | 1.10889i | −0.567984 | + | 0.823040i | \(0.692276\pi\) |
−0.958274 | + | 0.285851i | \(0.907724\pi\) | |||||||
\(858\) | −2.85617 | − | 8.79038i | −0.0975079 | − | 0.300098i | ||||
\(859\) | 20.3058 | + | 14.7530i | 0.692824 | + | 0.503366i | 0.877587 | − | 0.479417i | \(-0.159152\pi\) |
−0.184763 | + | 0.982783i | \(0.559152\pi\) | |||||||
\(860\) | 1.28437 | + | 0.933152i | 0.0437968 | + | 0.0318202i | ||||
\(861\) | −0.436650 | + | 0.317245i | −0.0148810 | + | 0.0108117i | ||||
\(862\) | 48.1898 | 1.64135 | ||||||||
\(863\) | 29.0672 | 0.989460 | 0.494730 | − | 0.869047i | \(-0.335267\pi\) | ||||
0.494730 | + | 0.869047i | \(0.335267\pi\) | |||||||
\(864\) | −4.06640 | + | 2.95441i | −0.138342 | + | 0.100511i | ||||
\(865\) | 15.1762 | − | 46.7076i | 0.516007 | − | 1.58811i | ||||
\(866\) | 1.48108 | + | 4.55828i | 0.0503290 | + | 0.154897i | ||||
\(867\) | −16.8318 | −0.571638 | ||||||||
\(868\) | 0.0430752 | − | 0.0152067i | 0.00146207 | − | 0.000516150i | ||||
\(869\) | −35.0548 | −1.18915 | ||||||||
\(870\) | −5.43292 | − | 16.7208i | −0.184193 | − | 0.566888i | ||||
\(871\) | −3.66798 | + | 11.2889i | −0.124285 | + | 0.382509i | ||||
\(872\) | −30.5253 | + | 22.1779i | −1.03372 | + | 0.751039i | ||||
\(873\) | −5.66532 | −0.191742 | ||||||||
\(874\) | −11.0269 | −0.372991 | ||||||||
\(875\) | 0.440025 | − | 0.319697i | 0.0148756 | − | 0.0108077i | ||||
\(876\) | 0.238868 | + | 0.173547i | 0.00807059 | + | 0.00586362i | ||||
\(877\) | −9.04576 | − | 6.57213i | −0.305454 | − | 0.221925i | 0.424490 | − | 0.905433i | \(-0.360454\pi\) |
−0.729943 | + | 0.683508i | \(0.760454\pi\) | |||||||
\(878\) | −2.00060 | − | 6.15721i | −0.0675169 | − | 0.207796i | ||||
\(879\) | −21.5082 | + | 15.6266i | −0.725453 | + | 0.527072i | ||||
\(880\) | −17.3107 | − | 53.2769i | −0.583544 | − | 1.79596i | ||||
\(881\) | −14.5857 | + | 44.8902i | −0.491405 | + | 1.51239i | 0.331079 | + | 0.943603i | \(0.392587\pi\) |
−0.822485 | + | 0.568787i | \(0.807413\pi\) | |||||||
\(882\) | −15.9737 | − | 11.6056i | −0.537862 | − | 0.390780i | ||||
\(883\) | 9.57874 | − | 29.4803i | 0.322350 | − | 0.992092i | −0.650272 | − | 0.759701i | \(-0.725345\pi\) |
0.972622 | − | 0.232391i | \(-0.0746549\pi\) | |||||||
\(884\) | 0.0495961 | − | 0.152641i | 0.00166810 | − | 0.00513387i | ||||
\(885\) | 16.9446 | + | 12.3109i | 0.569585 | + | 0.413828i | ||||
\(886\) | −9.51690 | + | 29.2900i | −0.319726 | + | 0.984017i | ||||
\(887\) | 5.22199 | + | 16.0716i | 0.175337 | + | 0.539632i | 0.999649 | − | 0.0265042i | \(-0.00843755\pi\) |
−0.824312 | + | 0.566136i | \(0.808438\pi\) | |||||||
\(888\) | −5.52688 | + | 4.01551i | −0.185470 | + | 0.134752i | ||||
\(889\) | 0.111570 | + | 0.343378i | 0.00374195 | + | 0.0115165i | ||||
\(890\) | 7.60718 | + | 5.52694i | 0.254993 | + | 0.185263i | ||||
\(891\) | 1.96060 | + | 1.42446i | 0.0656827 | + | 0.0477212i | ||||
\(892\) | 2.96003 | − | 2.15058i | 0.0991090 | − | 0.0720069i | ||||
\(893\) | −11.3999 | −0.381484 | ||||||||
\(894\) | 29.0497 | 0.971566 | ||||||||
\(895\) | −5.17516 | + | 3.75997i | −0.172986 | + | 0.125682i | ||||
\(896\) | −0.183059 | + | 0.563398i | −0.00611557 | + | 0.0188218i | ||||
\(897\) | −1.39422 | − | 4.29097i | −0.0465516 | − | 0.143271i | ||||
\(898\) | −22.5060 | −0.751034 | ||||||||
\(899\) | 16.7480 | − | 24.3180i | 0.558578 | − | 0.811049i | ||||
\(900\) | 0.115327 | 0.00384422 | ||||||||
\(901\) | 1.75650 | + | 5.40595i | 0.0585175 | + | 0.180098i | ||||
\(902\) | 30.0900 | − | 92.6075i | 1.00189 | − | 3.08349i | ||||
\(903\) | 0.168213 | − | 0.122214i | 0.00559779 | − | 0.00406703i | ||||
\(904\) | 4.88017 | 0.162312 | ||||||||
\(905\) | −26.2812 | −0.873616 | ||||||||
\(906\) | −2.90112 | + | 2.10778i | −0.0963831 | + | 0.0700264i | ||||
\(907\) | 2.13147 | + | 1.54861i | 0.0707744 | + | 0.0514206i | 0.622610 | − | 0.782532i | \(-0.286072\pi\) |
−0.551835 | + | 0.833953i | \(0.686072\pi\) | |||||||
\(908\) | −2.11663 | − | 1.53782i | −0.0702430 | − | 0.0510345i | ||||
\(909\) | −7.52400 | − | 23.1565i | −0.249555 | − | 0.768052i | ||||
\(910\) | −0.121351 | + | 0.0881667i | −0.00402275 | + | 0.00292270i | ||||
\(911\) | 7.50700 | + | 23.1042i | 0.248718 | + | 0.765476i | 0.995003 | + | 0.0998485i | \(0.0318358\pi\) |
−0.746285 | + | 0.665627i | \(0.768164\pi\) | |||||||
\(912\) | −2.40262 | + | 7.39449i | −0.0795586 | + | 0.244856i | ||||
\(913\) | 30.9405 | + | 22.4796i | 1.02398 | + | 0.743966i | ||||
\(914\) | −13.2442 | + | 40.7614i | −0.438079 | + | 1.34827i | ||||
\(915\) | 3.55553 | − | 10.9428i | 0.117542 | − | 0.361758i | ||||
\(916\) | −0.993867 | − | 0.722087i | −0.0328383 | − | 0.0238584i | ||||
\(917\) | 0.212092 | − | 0.652753i | 0.00700390 | − | 0.0215558i | ||||
\(918\) | −2.15267 | − | 6.62523i | −0.0710487 | − | 0.218665i | ||||
\(919\) | −16.4934 | + | 11.9832i | −0.544068 | + | 0.395288i | −0.825593 | − | 0.564265i | \(-0.809159\pi\) |
0.281526 | + | 0.959554i | \(0.409159\pi\) | |||||||
\(920\) | −7.76914 | − | 23.9109i | −0.256141 | − | 0.788320i | ||||
\(921\) | −23.8860 | − | 17.3542i | −0.787070 | − | 0.571840i | ||||
\(922\) | −3.15173 | − | 2.28987i | −0.103797 | − | 0.0754127i | ||||
\(923\) | −8.93798 | + | 6.49383i | −0.294197 | + | 0.213747i | ||||
\(924\) | 0.0514310 | 0.00169196 | ||||||||
\(925\) | 0.843303 | 0.0277276 | ||||||||
\(926\) | −31.6633 | + | 23.0048i | −1.04052 | + | 0.755983i | ||||
\(927\) | −3.34169 | + | 10.2847i | −0.109756 | + | 0.337793i | ||||
\(928\) | −1.60837 | − | 4.95007i | −0.0527975 | − | 0.162494i | ||||
\(929\) | 41.9580 | 1.37660 | 0.688299 | − | 0.725427i | \(-0.258358\pi\) | ||||
0.688299 | + | 0.725427i | \(0.258358\pi\) | |||||||
\(930\) | 11.2224 | + | 14.6548i | 0.367998 | + | 0.480549i | ||||
\(931\) | −12.0900 | −0.396232 | ||||||||
\(932\) | 1.30482 | + | 4.01582i | 0.0427408 | + | 0.131543i | ||||
\(933\) | 4.06348 | − | 12.5061i | 0.133032 | − | 0.409431i | ||||
\(934\) | 2.18379 | − | 1.58662i | 0.0714559 | − | 0.0519157i | ||||
\(935\) | 11.9690 | 0.391429 | ||||||||
\(936\) | 5.15222 | 0.168406 | ||||||||
\(937\) | 14.7109 | − | 10.6881i | 0.480583 | − | 0.349164i | −0.320968 | − | 0.947090i | \(-0.604008\pi\) |
0.801551 | + | 0.597926i | \(0.204008\pi\) | |||||||
\(938\) | −0.667719 | − | 0.485126i | −0.0218018 | − | 0.0158399i | ||||
\(939\) | −5.80194 | − | 4.21536i | −0.189339 | − | 0.137563i | ||||
\(940\) | 0.765247 | + | 2.35519i | 0.0249596 | + | 0.0768177i | ||||
\(941\) | 34.4144 | − | 25.0036i | 1.12188 | − | 0.815092i | 0.137386 | − | 0.990518i | \(-0.456130\pi\) |
0.984493 | + | 0.175425i | \(0.0561300\pi\) | |||||||
\(942\) | 2.38058 | + | 7.32667i | 0.0775635 | + | 0.238716i | ||||
\(943\) | 14.6882 | − | 45.2058i | 0.478315 | − | 1.47210i | ||||
\(944\) | 32.5387 | + | 23.6407i | 1.05904 | + | 0.769441i | ||||
\(945\) | −0.161002 | + | 0.495513i | −0.00523739 | + | 0.0161190i | ||||
\(946\) | −11.5918 | + | 35.6757i | −0.376880 | + | 1.15992i | ||||
\(947\) | 24.9185 | + | 18.1044i | 0.809743 | + | 0.588313i | 0.913756 | − | 0.406263i | \(-0.133168\pi\) |
−0.104013 | + | 0.994576i | \(0.533168\pi\) | |||||||
\(948\) | 0.326601 | − | 1.00517i | 0.0106075 | − | 0.0326465i | ||||
\(949\) | −0.503162 | − | 1.54857i | −0.0163333 | − | 0.0502688i | ||||
\(950\) | 0.713890 | − | 0.518672i | 0.0231617 | − | 0.0168279i | ||||
\(951\) | −0.196926 | − | 0.606076i | −0.00638576 | − | 0.0196534i | ||||
\(952\) | −0.0947618 | − | 0.0688485i | −0.00307125 | − | 0.00223139i | ||||
\(953\) | −17.8529 | − | 12.9709i | −0.578312 | − | 0.420169i | 0.259803 | − | 0.965662i | \(-0.416342\pi\) |
−0.838115 | + | 0.545493i | \(0.816342\pi\) | |||||||
\(954\) | 14.0648 | − | 10.2187i | 0.455365 | − | 0.330842i | ||||
\(955\) | −11.1242 | −0.359972 | ||||||||
\(956\) | 4.09498 | 0.132441 | ||||||||
\(957\) | 26.8951 | − | 19.5405i | 0.869397 | − | 0.631654i | ||||
\(958\) | −3.39668 | + | 10.4539i | −0.109742 | + | 0.337750i | ||||
\(959\) | −0.165645 | − | 0.509802i | −0.00534895 | − | 0.0164624i | ||||
\(960\) | −16.1624 | −0.521641 | ||||||||
\(961\) | −8.08148 | + | 29.9281i | −0.260693 | + | 0.965422i | ||||
\(962\) | −3.58946 | −0.115729 | ||||||||
\(963\) | 5.44933 | + | 16.7713i | 0.175602 | + | 0.540448i | ||||
\(964\) | −1.56469 | + | 4.81561i | −0.0503952 | + | 0.155100i | ||||
\(965\) | 32.9054 | − | 23.9072i | 1.05926 | − | 0.769600i | ||||
\(966\) | 0.313718 | 0.0100937 | ||||||||
\(967\) | 27.5006 | 0.884360 | 0.442180 | − | 0.896926i | \(-0.354205\pi\) | ||||
0.442180 | + | 0.896926i | \(0.354205\pi\) | |||||||
\(968\) | 54.8292 | − | 39.8357i | 1.76228 | − | 1.28037i | ||||
\(969\) | −1.34396 | − | 0.976444i | −0.0431742 | − | 0.0313679i | ||||
\(970\) | 7.61804 | + | 5.53483i | 0.244600 | + | 0.177713i | ||||
\(971\) | 2.09122 | + | 6.43611i | 0.0671104 | + | 0.206545i | 0.978988 | − | 0.203917i | \(-0.0653674\pi\) |
−0.911878 | + | 0.410462i | \(0.865367\pi\) | |||||||
\(972\) | −2.22161 | + | 1.61410i | −0.0712583 | + | 0.0517722i | ||||
\(973\) | 0.180342 | + | 0.555035i | 0.00578149 | + | 0.0177936i | ||||
\(974\) | −16.7338 | + | 51.5014i | −0.536187 | + | 1.65021i | ||||
\(975\) | 0.292096 | + | 0.212220i | 0.00935457 | + | 0.00679649i | ||||
\(976\) | 6.82769 | − | 21.0135i | 0.218549 | − | 0.672625i | ||||
\(977\) | 13.2302 | − | 40.7185i | 0.423273 | − | 1.30270i | −0.481365 | − | 0.876520i | \(-0.659859\pi\) |
0.904638 | − | 0.426181i | \(-0.140141\pi\) | |||||||
\(978\) | −17.3173 | − | 12.5818i | −0.553748 | − | 0.402321i | ||||
\(979\) | −5.49432 | + | 16.9098i | −0.175599 | + | 0.540439i | ||||
\(980\) | 0.811566 | + | 2.49774i | 0.0259245 | + | 0.0797875i | ||||
\(981\) | −21.6963 | + | 15.7633i | −0.692710 | + | 0.503284i | ||||
\(982\) | −4.46722 | − | 13.7487i | −0.142555 | − | 0.438739i | ||||
\(983\) | 15.9853 | + | 11.6140i | 0.509853 | + | 0.370430i | 0.812768 | − | 0.582588i | \(-0.197960\pi\) |
−0.302915 | + | 0.953018i | \(0.597960\pi\) | |||||||
\(984\) | −24.9289 | − | 18.1119i | −0.794705 | − | 0.577387i | ||||
\(985\) | −26.2193 | + | 19.0494i | −0.835417 | + | 0.606966i | ||||
\(986\) | 7.21352 | 0.229725 | ||||||||
\(987\) | 0.324331 | 0.0103236 | ||||||||
\(988\) | −0.243170 | + | 0.176673i | −0.00773626 | + | 0.00562072i | ||||
\(989\) | −5.65844 | + | 17.4149i | −0.179928 | + | 0.553761i | ||||
\(990\) | −11.3123 | − | 34.8157i | −0.359529 | − | 1.10652i | ||||
\(991\) | 45.0539 | 1.43119 | 0.715593 | − | 0.698518i | \(-0.246157\pi\) | ||||
0.715593 | + | 0.698518i | \(0.246157\pi\) | |||||||
\(992\) | 3.32231 | + | 4.33843i | 0.105484 | + | 0.137745i | ||||
\(993\) | 13.4315 | 0.426235 | ||||||||
\(994\) | −0.237386 | − | 0.730600i | −0.00752944 | − | 0.0231732i | ||||
\(995\) | −5.65589 | + | 17.4071i | −0.179304 | + | 0.551841i | ||||
\(996\) | −0.932856 | + | 0.677759i | −0.0295587 | + | 0.0214756i | ||||
\(997\) | −9.89968 | −0.313526 | −0.156763 | − | 0.987636i | \(-0.550106\pi\) | ||||
−0.156763 | + | 0.987636i | \(0.550106\pi\) | |||||||
\(998\) | 59.5413 | 1.88475 | ||||||||
\(999\) | −10.0867 | + | 7.32842i | −0.319129 | + | 0.231861i |
(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 | 403.2.k.e.66.12 | ✓ | 68 | |
31.8 | even | 5 | inner | 403.2.k.e.287.12 | yes | 68 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.k.e.66.12 | ✓ | 68 | 1.1 | even | 1 | trivial | |
403.2.k.e.287.12 | yes | 68 | 31.8 | even | 5 | inner |