Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(85,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.85");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.q (of order \(11\), degree \(10\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 9 x^{19} + 42 x^{18} - 126 x^{17} + 277 x^{16} - 538 x^{15} + 1046 x^{14} - 1170 x^{13} - 619 x^{12} + 2218 x^{11} + 1660 x^{10} - 3225 x^{9} + 2719 x^{8} + 8761 x^{7} + \cdots + 529 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 673.2 | ||
Root | \(0.130037 + 0.904424i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 966.673 |
Dual form | 966.2.q.e.211.2 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{9}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.415415 | + | 0.909632i | −0.293743 | + | 0.643207i | ||||
\(3\) | −0.959493 | − | 0.281733i | −0.553964 | − | 0.162658i | ||||
\(4\) | −0.654861 | − | 0.755750i | −0.327430 | − | 0.377875i | ||||
\(5\) | 2.06640 | − | 1.32799i | 0.924122 | − | 0.593897i | 0.0102710 | − | 0.999947i | \(-0.496731\pi\) |
0.913851 | + | 0.406050i | \(0.133094\pi\) | |||||||
\(6\) | 0.654861 | − | 0.755750i | 0.267346 | − | 0.308533i | ||||
\(7\) | −0.142315 | + | 0.989821i | −0.0537900 | + | 0.374117i | ||||
\(8\) | 0.959493 | − | 0.281733i | 0.339232 | − | 0.0996075i | ||||
\(9\) | 0.841254 | + | 0.540641i | 0.280418 | + | 0.180214i | ||||
\(10\) | 0.349573 | + | 2.43133i | 0.110545 | + | 0.768854i | ||||
\(11\) | 0.555075 | + | 1.21544i | 0.167361 | + | 0.366470i | 0.974666 | − | 0.223664i | \(-0.0718019\pi\) |
−0.807305 | + | 0.590135i | \(0.799075\pi\) | |||||||
\(12\) | 0.415415 | + | 0.909632i | 0.119920 | + | 0.262588i | ||||
\(13\) | 0.0102349 | + | 0.0711851i | 0.00283864 | + | 0.0197432i | 0.991192 | − | 0.132436i | \(-0.0422800\pi\) |
−0.988353 | + | 0.152179i | \(0.951371\pi\) | |||||||
\(14\) | −0.841254 | − | 0.540641i | −0.224834 | − | 0.144492i | ||||
\(15\) | −2.35683 | + | 0.692029i | −0.608532 | + | 0.178681i | ||||
\(16\) | −0.142315 | + | 0.989821i | −0.0355787 | + | 0.247455i | ||||
\(17\) | −1.88951 | + | 2.18061i | −0.458273 | + | 0.528875i | −0.937113 | − | 0.349027i | \(-0.886512\pi\) |
0.478840 | + | 0.877902i | \(0.341058\pi\) | |||||||
\(18\) | −0.841254 | + | 0.540641i | −0.198285 | + | 0.127430i | ||||
\(19\) | 1.17198 | + | 1.35254i | 0.268871 | + | 0.310294i | 0.874089 | − | 0.485766i | \(-0.161459\pi\) |
−0.605218 | + | 0.796060i | \(0.706914\pi\) | |||||||
\(20\) | −2.35683 | − | 0.692029i | −0.527004 | − | 0.154742i | ||||
\(21\) | 0.415415 | − | 0.909632i | 0.0906510 | − | 0.198498i | ||||
\(22\) | −1.33619 | −0.284878 | ||||||||
\(23\) | 4.51632 | − | 1.61332i | 0.941719 | − | 0.336401i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 0.429362 | − | 0.940171i | 0.0858724 | − | 0.188034i | ||||
\(26\) | −0.0690040 | − | 0.0202614i | −0.0135328 | − | 0.00397359i | ||||
\(27\) | −0.654861 | − | 0.755750i | −0.126028 | − | 0.145444i | ||||
\(28\) | 0.841254 | − | 0.540641i | 0.158982 | − | 0.102172i | ||||
\(29\) | 1.94443 | − | 2.24399i | 0.361071 | − | 0.416698i | −0.545927 | − | 0.837833i | \(-0.683823\pi\) |
0.906998 | + | 0.421135i | \(0.138368\pi\) | |||||||
\(30\) | 0.349573 | − | 2.43133i | 0.0638229 | − | 0.443898i | ||||
\(31\) | 8.06752 | − | 2.36884i | 1.44897 | − | 0.425456i | 0.539769 | − | 0.841813i | \(-0.318512\pi\) |
0.909201 | + | 0.416358i | \(0.136694\pi\) | |||||||
\(32\) | −0.841254 | − | 0.540641i | −0.148714 | − | 0.0955727i | ||||
\(33\) | −0.190160 | − | 1.32259i | −0.0331027 | − | 0.230234i | ||||
\(34\) | −1.19862 | − | 2.62461i | −0.205562 | − | 0.450118i | ||||
\(35\) | 1.02040 | + | 2.23436i | 0.172479 | + | 0.377676i | ||||
\(36\) | −0.142315 | − | 0.989821i | −0.0237191 | − | 0.164970i | ||||
\(37\) | −7.27320 | − | 4.67420i | −1.19571 | − | 0.768434i | −0.217499 | − | 0.976061i | \(-0.569790\pi\) |
−0.978208 | + | 0.207627i | \(0.933426\pi\) | |||||||
\(38\) | −1.71717 | + | 0.504207i | −0.278562 | + | 0.0817933i | ||||
\(39\) | 0.0102349 | − | 0.0711851i | 0.00163889 | − | 0.0113987i | ||||
\(40\) | 1.60856 | − | 1.85637i | 0.254335 | − | 0.293518i | ||||
\(41\) | −4.03089 | + | 2.59049i | −0.629519 | + | 0.404567i | −0.816131 | − | 0.577867i | \(-0.803885\pi\) |
0.186613 | + | 0.982434i | \(0.440249\pi\) | |||||||
\(42\) | 0.654861 | + | 0.755750i | 0.101047 | + | 0.116615i | ||||
\(43\) | 9.61032 | + | 2.82185i | 1.46556 | + | 0.430327i | 0.914653 | − | 0.404239i | \(-0.132464\pi\) |
0.550907 | + | 0.834566i | \(0.314282\pi\) | |||||||
\(44\) | 0.555075 | − | 1.21544i | 0.0836807 | − | 0.183235i | ||||
\(45\) | 2.45633 | 0.366169 | ||||||||
\(46\) | −0.408619 | + | 4.77839i | −0.0602476 | + | 0.704535i | ||||
\(47\) | 12.0588 | 1.75896 | 0.879479 | − | 0.475938i | \(-0.157891\pi\) | ||||
0.879479 | + | 0.475938i | \(0.157891\pi\) | |||||||
\(48\) | 0.415415 | − | 0.909632i | 0.0599600 | − | 0.131294i | ||||
\(49\) | −0.959493 | − | 0.281733i | −0.137070 | − | 0.0402475i | ||||
\(50\) | 0.676847 | + | 0.781123i | 0.0957206 | + | 0.110467i | ||||
\(51\) | 2.42732 | − | 1.55994i | 0.339893 | − | 0.218436i | ||||
\(52\) | 0.0470957 | − | 0.0543513i | 0.00653100 | − | 0.00753717i | ||||
\(53\) | 0.145353 | − | 1.01095i | 0.0199657 | − | 0.138865i | −0.977400 | − | 0.211397i | \(-0.932199\pi\) |
0.997366 | + | 0.0725319i | \(0.0231079\pi\) | |||||||
\(54\) | 0.959493 | − | 0.281733i | 0.130570 | − | 0.0383389i | ||||
\(55\) | 2.76111 | + | 1.77446i | 0.372308 | + | 0.239268i | ||||
\(56\) | 0.142315 | + | 0.989821i | 0.0190176 | + | 0.132270i | ||||
\(57\) | −0.743455 | − | 1.62794i | −0.0984730 | − | 0.215626i | ||||
\(58\) | 1.23346 | + | 2.70090i | 0.161961 | + | 0.354645i | ||||
\(59\) | 1.84792 | + | 12.8526i | 0.240579 | + | 1.67326i | 0.649247 | + | 0.760578i | \(0.275084\pi\) |
−0.408668 | + | 0.912683i | \(0.634007\pi\) | |||||||
\(60\) | 2.06640 | + | 1.32799i | 0.266771 | + | 0.171443i | ||||
\(61\) | 13.3971 | − | 3.93375i | 1.71533 | − | 0.503665i | 0.731355 | − | 0.681997i | \(-0.238888\pi\) |
0.983970 | + | 0.178332i | \(0.0570702\pi\) | |||||||
\(62\) | −1.19660 | + | 8.32253i | −0.151968 | + | 1.05696i | ||||
\(63\) | −0.654861 | + | 0.755750i | −0.0825047 | + | 0.0952155i | ||||
\(64\) | 0.841254 | − | 0.540641i | 0.105157 | − | 0.0675801i | ||||
\(65\) | 0.115683 | + | 0.133505i | 0.0143487 | + | 0.0165593i | ||||
\(66\) | 1.28207 | + | 0.376449i | 0.157812 | + | 0.0463377i | ||||
\(67\) | 0.848269 | − | 1.85745i | 0.103633 | − | 0.226924i | −0.850712 | − | 0.525633i | \(-0.823829\pi\) |
0.954344 | + | 0.298709i | \(0.0965560\pi\) | |||||||
\(68\) | 2.88536 | 0.349901 | ||||||||
\(69\) | −4.78791 | + | 0.275576i | −0.576396 | + | 0.0331755i | ||||
\(70\) | −2.45633 | −0.293588 | ||||||||
\(71\) | −4.29109 | + | 9.39618i | −0.509259 | + | 1.11512i | 0.464089 | + | 0.885788i | \(0.346382\pi\) |
−0.973348 | + | 0.229333i | \(0.926346\pi\) | |||||||
\(72\) | 0.959493 | + | 0.281733i | 0.113077 | + | 0.0332025i | ||||
\(73\) | −6.76030 | − | 7.80180i | −0.791233 | − | 0.913132i | 0.206633 | − | 0.978418i | \(-0.433749\pi\) |
−0.997867 | + | 0.0652866i | \(0.979204\pi\) | |||||||
\(74\) | 7.27320 | − | 4.67420i | 0.845492 | − | 0.543365i | ||||
\(75\) | −0.676847 | + | 0.781123i | −0.0781555 | + | 0.0901963i | ||||
\(76\) | 0.254696 | − | 1.77145i | 0.0292157 | − | 0.203199i | ||||
\(77\) | −1.28207 | + | 0.376449i | −0.146105 | + | 0.0429004i | ||||
\(78\) | 0.0605005 | + | 0.0388813i | 0.00685034 | + | 0.00440244i | ||||
\(79\) | −0.747893 | − | 5.20171i | −0.0841446 | − | 0.585238i | −0.987652 | − | 0.156665i | \(-0.949926\pi\) |
0.903507 | − | 0.428573i | \(-0.140983\pi\) | |||||||
\(80\) | 1.02040 | + | 2.23436i | 0.114084 | + | 0.249809i | ||||
\(81\) | 0.415415 | + | 0.909632i | 0.0461572 | + | 0.101070i | ||||
\(82\) | −0.681905 | − | 4.74275i | −0.0753038 | − | 0.523749i | ||||
\(83\) | 7.67818 | + | 4.93446i | 0.842789 | + | 0.541628i | 0.889318 | − | 0.457289i | \(-0.151180\pi\) |
−0.0465288 | + | 0.998917i | \(0.514816\pi\) | |||||||
\(84\) | −0.959493 | + | 0.281733i | −0.104689 | + | 0.0307395i | ||||
\(85\) | −1.00864 | + | 7.01526i | −0.109403 | + | 0.760912i | ||||
\(86\) | −6.55911 | + | 7.56962i | −0.707287 | + | 0.816253i | ||||
\(87\) | −2.49787 | + | 1.60528i | −0.267799 | + | 0.172104i | ||||
\(88\) | 0.875021 | + | 1.00983i | 0.0932776 | + | 0.107648i | ||||
\(89\) | 7.76701 | + | 2.28060i | 0.823301 | + | 0.241743i | 0.666137 | − | 0.745829i | \(-0.267947\pi\) |
0.157164 | + | 0.987572i | \(0.449765\pi\) | |||||||
\(90\) | −1.02040 | + | 2.23436i | −0.107559 | + | 0.235522i | ||||
\(91\) | −0.0719171 | −0.00753896 | ||||||||
\(92\) | −4.17683 | − | 2.35671i | −0.435465 | − | 0.245704i | ||||
\(93\) | −8.40811 | −0.871880 | ||||||||
\(94\) | −5.00941 | + | 10.9691i | −0.516681 | + | 1.13137i | ||||
\(95\) | 4.21795 | + | 1.23850i | 0.432752 | + | 0.127068i | ||||
\(96\) | 0.654861 | + | 0.755750i | 0.0668364 | + | 0.0771334i | ||||
\(97\) | −9.89607 | + | 6.35982i | −1.00479 | + | 0.645742i | −0.936041 | − | 0.351892i | \(-0.885538\pi\) |
−0.0687533 | + | 0.997634i | \(0.521902\pi\) | |||||||
\(98\) | 0.654861 | − | 0.755750i | 0.0661509 | − | 0.0763422i | ||||
\(99\) | −0.190160 | + | 1.32259i | −0.0191118 | + | 0.132926i | ||||
\(100\) | −0.991706 | + | 0.291191i | −0.0991706 | + | 0.0291191i | ||||
\(101\) | 7.87163 | + | 5.05879i | 0.783256 | + | 0.503368i | 0.870113 | − | 0.492853i | \(-0.164046\pi\) |
−0.0868565 | + | 0.996221i | \(0.527682\pi\) | |||||||
\(102\) | 0.410629 | + | 2.85599i | 0.0406584 | + | 0.282785i | ||||
\(103\) | −0.503118 | − | 1.10168i | −0.0495737 | − | 0.108551i | 0.883224 | − | 0.468951i | \(-0.155368\pi\) |
−0.932798 | + | 0.360399i | \(0.882640\pi\) | |||||||
\(104\) | 0.0298755 | + | 0.0654181i | 0.00292953 | + | 0.00641477i | ||||
\(105\) | −0.349573 | − | 2.43133i | −0.0341148 | − | 0.237274i | ||||
\(106\) | 0.859212 | + | 0.552182i | 0.0834540 | + | 0.0536326i | ||||
\(107\) | −5.30368 | + | 1.55730i | −0.512726 | + | 0.150550i | −0.527853 | − | 0.849336i | \(-0.677003\pi\) |
0.0151273 | + | 0.999886i | \(0.495185\pi\) | |||||||
\(108\) | −0.142315 | + | 0.989821i | −0.0136943 | + | 0.0952456i | ||||
\(109\) | 10.6387 | − | 12.2777i | 1.01900 | − | 1.17599i | 0.0347170 | − | 0.999397i | \(-0.488947\pi\) |
0.984284 | − | 0.176593i | \(-0.0565075\pi\) | |||||||
\(110\) | −2.76111 | + | 1.77446i | −0.263262 | + | 0.169188i | ||||
\(111\) | 5.66171 | + | 6.53396i | 0.537386 | + | 0.620176i | ||||
\(112\) | −0.959493 | − | 0.281733i | −0.0906636 | − | 0.0266212i | ||||
\(113\) | −4.78954 | + | 10.4876i | −0.450562 | + | 0.986592i | 0.538977 | + | 0.842321i | \(0.318811\pi\) |
−0.989538 | + | 0.144272i | \(0.953916\pi\) | |||||||
\(114\) | 1.78967 | 0.167618 | ||||||||
\(115\) | 7.19005 | − | 9.33142i | 0.670475 | − | 0.870160i | ||||
\(116\) | −2.96922 | −0.275685 | ||||||||
\(117\) | −0.0298755 | + | 0.0654181i | −0.00276199 | + | 0.00604791i | ||||
\(118\) | −12.4588 | − | 3.65822i | −1.14692 | − | 0.336766i | ||||
\(119\) | −1.88951 | − | 2.18061i | −0.173211 | − | 0.199896i | ||||
\(120\) | −2.06640 | + | 1.32799i | −0.188636 | + | 0.121229i | ||||
\(121\) | 6.03427 | − | 6.96392i | 0.548570 | − | 0.633084i | ||||
\(122\) | −1.98710 | + | 13.8206i | −0.179904 | + | 1.25126i | ||||
\(123\) | 4.59743 | − | 1.34993i | 0.414537 | − | 0.121719i | ||||
\(124\) | −7.07335 | − | 4.54577i | −0.635206 | − | 0.408222i | ||||
\(125\) | 1.38655 | + | 9.64370i | 0.124017 | + | 0.862559i | ||||
\(126\) | −0.415415 | − | 0.909632i | −0.0370081 | − | 0.0810365i | ||||
\(127\) | −3.90285 | − | 8.54605i | −0.346322 | − | 0.758340i | −0.999999 | − | 0.00156574i | \(-0.999502\pi\) |
0.653677 | − | 0.756774i | \(-0.273226\pi\) | |||||||
\(128\) | 0.142315 | + | 0.989821i | 0.0125790 | + | 0.0874887i | ||||
\(129\) | −8.42603 | − | 5.41508i | −0.741871 | − | 0.476771i | ||||
\(130\) | −0.169497 | + | 0.0497687i | −0.0148658 | + | 0.00436501i | ||||
\(131\) | −0.558841 | + | 3.88683i | −0.0488262 | + | 0.339594i | 0.950736 | + | 0.310002i | \(0.100330\pi\) |
−0.999562 | + | 0.0295916i | \(0.990579\pi\) | |||||||
\(132\) | −0.875021 | + | 1.00983i | −0.0761608 | + | 0.0878943i | ||||
\(133\) | −1.50556 | + | 0.967567i | −0.130549 | + | 0.0838987i | ||||
\(134\) | 1.33721 | + | 1.54323i | 0.115518 | + | 0.133314i | ||||
\(135\) | −2.35683 | − | 0.692029i | −0.202844 | − | 0.0595604i | ||||
\(136\) | −1.19862 | + | 2.62461i | −0.102781 | + | 0.225059i | ||||
\(137\) | −6.62947 | −0.566393 | −0.283197 | − | 0.959062i | \(-0.591395\pi\) | ||||
−0.283197 | + | 0.959062i | \(0.591395\pi\) | |||||||
\(138\) | 1.73830 | − | 4.46971i | 0.147974 | − | 0.380487i | ||||
\(139\) | −8.30187 | −0.704155 | −0.352078 | − | 0.935971i | \(-0.614525\pi\) | ||||
−0.352078 | + | 0.935971i | \(0.614525\pi\) | |||||||
\(140\) | 1.02040 | − | 2.23436i | 0.0862393 | − | 0.188838i | ||||
\(141\) | −11.5703 | − | 3.39736i | −0.974399 | − | 0.286109i | ||||
\(142\) | −6.76448 | − | 7.80663i | −0.567663 | − | 0.655118i | ||||
\(143\) | −0.0808405 | + | 0.0519530i | −0.00676022 | + | 0.00434453i | ||||
\(144\) | −0.654861 | + | 0.755750i | −0.0545717 | + | 0.0629791i | ||||
\(145\) | 1.03796 | − | 7.21916i | 0.0861977 | − | 0.599518i | ||||
\(146\) | 9.90510 | − | 2.90840i | 0.819752 | − | 0.240701i | ||||
\(147\) | 0.841254 | + | 0.540641i | 0.0693854 | + | 0.0445913i | ||||
\(148\) | 1.23041 | + | 8.55767i | 0.101139 | + | 0.703436i | ||||
\(149\) | −3.81994 | − | 8.36450i | −0.312942 | − | 0.685246i | 0.686168 | − | 0.727443i | \(-0.259292\pi\) |
−0.999109 | + | 0.0421969i | \(0.986564\pi\) | |||||||
\(150\) | −0.429362 | − | 0.940171i | −0.0350572 | − | 0.0767647i | ||||
\(151\) | 1.74671 | + | 12.1486i | 0.142145 | + | 0.988643i | 0.928623 | + | 0.371024i | \(0.120993\pi\) |
−0.786478 | + | 0.617618i | \(0.788098\pi\) | |||||||
\(152\) | 1.50556 | + | 0.967567i | 0.122117 | + | 0.0784800i | ||||
\(153\) | −2.76848 | + | 0.812900i | −0.223818 | + | 0.0657190i | ||||
\(154\) | 0.190160 | − | 1.32259i | 0.0153235 | − | 0.106578i | ||||
\(155\) | 13.5249 | − | 15.6086i | 1.08635 | − | 1.25371i | ||||
\(156\) | −0.0605005 | + | 0.0388813i | −0.00484392 | + | 0.00311300i | ||||
\(157\) | −1.40772 | − | 1.62460i | −0.112348 | − | 0.129657i | 0.696790 | − | 0.717275i | \(-0.254611\pi\) |
−0.809138 | + | 0.587618i | \(0.800066\pi\) | |||||||
\(158\) | 5.04233 | + | 1.48056i | 0.401146 | + | 0.117787i | ||||
\(159\) | −0.424283 | + | 0.929050i | −0.0336478 | + | 0.0736784i | ||||
\(160\) | −2.45633 | −0.194190 | ||||||||
\(161\) | 0.954162 | + | 4.69995i | 0.0751985 | + | 0.370408i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 3.84170 | − | 8.41214i | 0.300905 | − | 0.658890i | −0.697425 | − | 0.716658i | \(-0.745671\pi\) |
0.998330 | + | 0.0577678i | \(0.0183983\pi\) | |||||||
\(164\) | 4.59743 | + | 1.34993i | 0.358999 | + | 0.105412i | ||||
\(165\) | −2.14934 | − | 2.48047i | −0.167326 | − | 0.193105i | ||||
\(166\) | −7.67818 | + | 4.93446i | −0.595942 | + | 0.382989i | ||||
\(167\) | 6.38104 | − | 7.36411i | 0.493779 | − | 0.569852i | −0.453092 | − | 0.891464i | \(-0.649679\pi\) |
0.946872 | + | 0.321612i | \(0.104225\pi\) | |||||||
\(168\) | 0.142315 | − | 0.989821i | 0.0109798 | − | 0.0763664i | ||||
\(169\) | 12.4684 | − | 3.66107i | 0.959111 | − | 0.281620i | ||||
\(170\) | −5.96230 | − | 3.83174i | −0.457288 | − | 0.293881i | ||||
\(171\) | 0.254696 | + | 1.77145i | 0.0194771 | + | 0.135466i | ||||
\(172\) | −4.16082 | − | 9.11091i | −0.317259 | − | 0.694701i | ||||
\(173\) | −3.14583 | − | 6.88841i | −0.239173 | − | 0.523716i | 0.751540 | − | 0.659688i | \(-0.229312\pi\) |
−0.990713 | + | 0.135972i | \(0.956584\pi\) | |||||||
\(174\) | −0.422564 | − | 2.93900i | −0.0320345 | − | 0.222805i | ||||
\(175\) | 0.869497 | + | 0.558792i | 0.0657278 | + | 0.0422407i | ||||
\(176\) | −1.28207 | + | 0.376449i | −0.0966396 | + | 0.0283759i | ||||
\(177\) | 1.84792 | − | 12.8526i | 0.138898 | − | 0.966057i | ||||
\(178\) | −5.30104 | + | 6.11772i | −0.397330 | + | 0.458543i | ||||
\(179\) | 1.35958 | − | 0.873750i | 0.101620 | − | 0.0653071i | −0.488844 | − | 0.872371i | \(-0.662581\pi\) |
0.590464 | + | 0.807064i | \(0.298945\pi\) | |||||||
\(180\) | −1.60856 | − | 1.85637i | −0.119895 | − | 0.138366i | ||||
\(181\) | −22.9389 | − | 6.73546i | −1.70503 | − | 0.500643i | −0.723240 | − | 0.690597i | \(-0.757348\pi\) |
−0.981793 | + | 0.189954i | \(0.939166\pi\) | |||||||
\(182\) | 0.0298755 | − | 0.0654181i | 0.00221452 | − | 0.00484911i | ||||
\(183\) | −13.9627 | −1.03215 | ||||||||
\(184\) | 3.87886 | − | 2.82037i | 0.285953 | − | 0.207920i | ||||
\(185\) | −21.2366 | −1.56135 | ||||||||
\(186\) | 3.49285 | − | 7.64828i | 0.256109 | − | 0.560799i | ||||
\(187\) | −3.69923 | − | 1.08619i | −0.270514 | − | 0.0794302i | ||||
\(188\) | −7.89684 | − | 9.11344i | −0.575936 | − | 0.664666i | ||||
\(189\) | 0.841254 | − | 0.540641i | 0.0611922 | − | 0.0393258i | ||||
\(190\) | −2.87878 | + | 3.32229i | −0.208849 | + | 0.241024i | ||||
\(191\) | 0.0992731 | − | 0.690459i | 0.00718315 | − | 0.0499599i | −0.985915 | − | 0.167249i | \(-0.946511\pi\) |
0.993098 | + | 0.117290i | \(0.0374206\pi\) | |||||||
\(192\) | −0.959493 | + | 0.281733i | −0.0692454 | + | 0.0203323i | ||||
\(193\) | −5.65719 | − | 3.63566i | −0.407214 | − | 0.261700i | 0.320960 | − | 0.947093i | \(-0.395994\pi\) |
−0.728174 | + | 0.685392i | \(0.759631\pi\) | |||||||
\(194\) | −1.67412 | − | 11.6437i | −0.120195 | − | 0.835972i | ||||
\(195\) | −0.0733841 | − | 0.160689i | −0.00525514 | − | 0.0115072i | ||||
\(196\) | 0.415415 | + | 0.909632i | 0.0296725 | + | 0.0649737i | ||||
\(197\) | −1.61778 | − | 11.2519i | −0.115262 | − | 0.801667i | −0.962661 | − | 0.270710i | \(-0.912742\pi\) |
0.847399 | − | 0.530957i | \(-0.178167\pi\) | |||||||
\(198\) | −1.12408 | − | 0.722401i | −0.0798847 | − | 0.0513388i | ||||
\(199\) | 1.62508 | − | 0.477167i | 0.115199 | − | 0.0338254i | −0.223625 | − | 0.974675i | \(-0.571789\pi\) |
0.338824 | + | 0.940850i | \(0.389971\pi\) | |||||||
\(200\) | 0.147093 | − | 1.02305i | 0.0104010 | − | 0.0723408i | ||||
\(201\) | −1.33721 | + | 1.54323i | −0.0943197 | + | 0.108851i | ||||
\(202\) | −7.87163 | + | 5.05879i | −0.553846 | + | 0.355935i | ||||
\(203\) | 1.94443 | + | 2.24399i | 0.136472 | + | 0.157497i | ||||
\(204\) | −2.76848 | − | 0.812900i | −0.193832 | − | 0.0569144i | ||||
\(205\) | −4.88926 | + | 10.7060i | −0.341481 | + | 0.747738i | ||||
\(206\) | 1.21112 | 0.0843829 | ||||||||
\(207\) | 4.67160 | + | 1.08450i | 0.324699 | + | 0.0753777i | ||||
\(208\) | −0.0719171 | −0.00498656 | ||||||||
\(209\) | −0.993400 | + | 2.17524i | −0.0687149 | + | 0.150465i | ||||
\(210\) | 2.35683 | + | 0.692029i | 0.162637 | + | 0.0477545i | ||||
\(211\) | −9.93121 | − | 11.4612i | −0.683693 | − | 0.789024i | 0.302760 | − | 0.953067i | \(-0.402092\pi\) |
−0.986453 | + | 0.164043i | \(0.947546\pi\) | |||||||
\(212\) | −0.859212 | + | 0.552182i | −0.0590109 | + | 0.0379240i | ||||
\(213\) | 6.76448 | − | 7.80663i | 0.463495 | − | 0.534901i | ||||
\(214\) | 0.786657 | − | 5.47132i | 0.0537748 | − | 0.374012i | ||||
\(215\) | 23.6062 | − | 6.93139i | 1.60993 | − | 0.472717i | ||||
\(216\) | −0.841254 | − | 0.540641i | −0.0572401 | − | 0.0367859i | ||||
\(217\) | 1.19660 | + | 8.32253i | 0.0812304 | + | 0.564970i | ||||
\(218\) | 6.74872 | + | 14.7776i | 0.457081 | + | 1.00087i | ||||
\(219\) | 4.28844 | + | 9.39037i | 0.289786 | + | 0.634542i | ||||
\(220\) | −0.467097 | − | 3.24873i | −0.0314917 | − | 0.219029i | ||||
\(221\) | −0.174566 | − | 0.112187i | −0.0117426 | − | 0.00754649i | ||||
\(222\) | −8.29546 | + | 2.43577i | −0.556755 | + | 0.163478i | ||||
\(223\) | −1.64934 | + | 11.4714i | −0.110448 | + | 0.768183i | 0.857037 | + | 0.515255i | \(0.172303\pi\) |
−0.967485 | + | 0.252928i | \(0.918606\pi\) | |||||||
\(224\) | 0.654861 | − | 0.755750i | 0.0437547 | − | 0.0504956i | ||||
\(225\) | 0.869497 | − | 0.558792i | 0.0579665 | − | 0.0372528i | ||||
\(226\) | −7.55023 | − | 8.71343i | −0.502234 | − | 0.579609i | ||||
\(227\) | −9.48159 | − | 2.78405i | −0.629315 | − | 0.184784i | −0.0485055 | − | 0.998823i | \(-0.515446\pi\) |
−0.580810 | + | 0.814039i | \(0.697264\pi\) | |||||||
\(228\) | −0.743455 | + | 1.62794i | −0.0492365 | + | 0.107813i | ||||
\(229\) | 10.1527 | 0.670910 | 0.335455 | − | 0.942056i | \(-0.391110\pi\) | ||||
0.335455 | + | 0.942056i | \(0.391110\pi\) | |||||||
\(230\) | 5.50131 | + | 10.4167i | 0.362745 | + | 0.686857i | ||||
\(231\) | 1.33619 | 0.0879151 | ||||||||
\(232\) | 1.23346 | − | 2.70090i | 0.0809805 | − | 0.177323i | ||||
\(233\) | −6.94261 | − | 2.03853i | −0.454825 | − | 0.133549i | 0.0462923 | − | 0.998928i | \(-0.485259\pi\) |
−0.501118 | + | 0.865379i | \(0.667078\pi\) | |||||||
\(234\) | −0.0470957 | − | 0.0543513i | −0.00307874 | − | 0.00355306i | ||||
\(235\) | 24.9183 | − | 16.0140i | 1.62549 | − | 1.04464i | ||||
\(236\) | 8.50319 | − | 9.81320i | 0.553510 | − | 0.638785i | ||||
\(237\) | −0.747893 | + | 5.20171i | −0.0485809 | + | 0.337887i | ||||
\(238\) | 2.76848 | − | 0.812900i | 0.179454 | − | 0.0526925i | ||||
\(239\) | −19.3311 | − | 12.4233i | −1.25042 | − | 0.803599i | −0.263480 | − | 0.964665i | \(-0.584870\pi\) |
−0.986944 | + | 0.161066i | \(0.948507\pi\) | |||||||
\(240\) | −0.349573 | − | 2.43133i | −0.0225648 | − | 0.156942i | ||||
\(241\) | 4.75078 | + | 10.4028i | 0.306024 | + | 0.670100i | 0.998691 | − | 0.0511583i | \(-0.0162913\pi\) |
−0.692666 | + | 0.721258i | \(0.743564\pi\) | |||||||
\(242\) | 3.82788 | + | 8.38188i | 0.246065 | + | 0.538808i | ||||
\(243\) | −0.142315 | − | 0.989821i | −0.00912950 | − | 0.0634971i | ||||
\(244\) | −11.7462 | − | 7.54881i | −0.751972 | − | 0.483263i | ||||
\(245\) | −2.35683 | + | 0.692029i | −0.150573 | + | 0.0442121i | ||||
\(246\) | −0.681905 | + | 4.74275i | −0.0434767 | + | 0.302387i | ||||
\(247\) | −0.0842856 | + | 0.0972708i | −0.00536297 | + | 0.00618919i | ||||
\(248\) | 7.07335 | − | 4.54577i | 0.449158 | − | 0.288656i | ||||
\(249\) | −5.97696 | − | 6.89778i | −0.378774 | − | 0.437129i | ||||
\(250\) | −9.34821 | − | 2.74488i | −0.591233 | − | 0.173602i | ||||
\(251\) | −8.65096 | + | 18.9430i | −0.546044 | + | 1.19567i | 0.412561 | + | 0.910930i | \(0.364634\pi\) |
−0.958605 | + | 0.284740i | \(0.908093\pi\) | |||||||
\(252\) | 1.00000 | 0.0629941 | ||||||||
\(253\) | 4.46780 | + | 4.59383i | 0.280888 | + | 0.288812i | ||||
\(254\) | 9.39507 | 0.589499 | ||||||||
\(255\) | 2.94421 | − | 6.44693i | 0.184374 | − | 0.403722i | ||||
\(256\) | −0.959493 | − | 0.281733i | −0.0599683 | − | 0.0176083i | ||||
\(257\) | 0.955244 | + | 1.10241i | 0.0595865 | + | 0.0687665i | 0.784760 | − | 0.619799i | \(-0.212786\pi\) |
−0.725174 | + | 0.688566i | \(0.758241\pi\) | |||||||
\(258\) | 8.42603 | − | 5.41508i | 0.524582 | − | 0.337128i | ||||
\(259\) | 5.66171 | − | 6.53396i | 0.351802 | − | 0.406001i | ||||
\(260\) | 0.0251403 | − | 0.174854i | 0.00155913 | − | 0.0108440i | ||||
\(261\) | 2.84895 | − | 0.836526i | 0.176345 | − | 0.0517797i | ||||
\(262\) | −3.30343 | − | 2.12299i | −0.204087 | − | 0.131159i | ||||
\(263\) | −2.77855 | − | 19.3252i | −0.171333 | − | 1.19164i | −0.876073 | − | 0.482179i | \(-0.839846\pi\) |
0.704740 | − | 0.709465i | \(-0.251064\pi\) | |||||||
\(264\) | −0.555075 | − | 1.21544i | −0.0341625 | − | 0.0748055i | ||||
\(265\) | −1.04218 | − | 2.28206i | −0.0640206 | − | 0.140186i | ||||
\(266\) | −0.254696 | − | 1.77145i | −0.0156164 | − | 0.108615i | ||||
\(267\) | −6.80987 | − | 4.37644i | −0.416757 | − | 0.267834i | ||||
\(268\) | −1.95927 | + | 0.575292i | −0.119681 | + | 0.0351416i | ||||
\(269\) | −2.33149 | + | 16.2159i | −0.142153 | + | 0.988699i | 0.786458 | + | 0.617644i | \(0.211913\pi\) |
−0.928611 | + | 0.371055i | \(0.878996\pi\) | |||||||
\(270\) | 1.60856 | − | 1.85637i | 0.0978936 | − | 0.112975i | ||||
\(271\) | −25.3033 | + | 16.2615i | −1.53707 | + | 0.987814i | −0.548651 | + | 0.836051i | \(0.684859\pi\) |
−0.988417 | + | 0.151763i | \(0.951505\pi\) | |||||||
\(272\) | −1.88951 | − | 2.18061i | −0.114568 | − | 0.132219i | ||||
\(273\) | 0.0690040 | + | 0.0202614i | 0.00417631 | + | 0.00122628i | ||||
\(274\) | 2.75398 | − | 6.03037i | 0.166374 | − | 0.364308i | ||||
\(275\) | 1.38105 | 0.0832807 | ||||||||
\(276\) | 3.34368 | + | 3.43799i | 0.201266 | + | 0.206943i | ||||
\(277\) | 6.16646 | 0.370507 | 0.185253 | − | 0.982691i | \(-0.440689\pi\) | ||||
0.185253 | + | 0.982691i | \(0.440689\pi\) | |||||||
\(278\) | 3.44872 | − | 7.55165i | 0.206841 | − | 0.452918i | ||||
\(279\) | 8.06752 | + | 2.36884i | 0.482990 | + | 0.141819i | ||||
\(280\) | 1.60856 | + | 1.85637i | 0.0961296 | + | 0.110939i | ||||
\(281\) | −0.965321 | + | 0.620374i | −0.0575862 | + | 0.0370084i | −0.569117 | − | 0.822256i | \(-0.692715\pi\) |
0.511531 | + | 0.859265i | \(0.329079\pi\) | |||||||
\(282\) | 7.89684 | − | 9.11344i | 0.470250 | − | 0.542697i | ||||
\(283\) | 2.47274 | − | 17.1983i | 0.146989 | − | 1.02233i | −0.774123 | − | 0.633036i | \(-0.781809\pi\) |
0.921112 | − | 0.389298i | \(-0.127282\pi\) | |||||||
\(284\) | 9.91122 | − | 2.91020i | 0.588123 | − | 0.172688i | ||||
\(285\) | −3.69817 | − | 2.37667i | −0.219060 | − | 0.140782i | ||||
\(286\) | −0.0136758 | − | 0.0951171i | −0.000808666 | − | 0.00562439i | ||||
\(287\) | −1.99047 | − | 4.35852i | −0.117494 | − | 0.257275i | ||||
\(288\) | −0.415415 | − | 0.909632i | −0.0244786 | − | 0.0536006i | ||||
\(289\) | 1.23454 | + | 8.58641i | 0.0726199 | + | 0.505083i | ||||
\(290\) | 6.13559 | + | 3.94311i | 0.360294 | + | 0.231547i | ||||
\(291\) | 11.2870 | − | 3.31416i | 0.661655 | − | 0.194279i | ||||
\(292\) | −1.46915 | + | 10.2182i | −0.0859757 | + | 0.597974i | ||||
\(293\) | 1.49534 | − | 1.72571i | 0.0873586 | − | 0.100817i | −0.710387 | − | 0.703811i | \(-0.751480\pi\) |
0.797746 | + | 0.602994i | \(0.206026\pi\) | |||||||
\(294\) | −0.841254 | + | 0.540641i | −0.0490629 | + | 0.0315308i | ||||
\(295\) | 20.8867 | + | 24.1045i | 1.21607 | + | 1.40342i | ||||
\(296\) | −8.29546 | − | 2.43577i | −0.482164 | − | 0.141576i | ||||
\(297\) | 0.555075 | − | 1.21544i | 0.0322087 | − | 0.0705273i | ||||
\(298\) | 9.19547 | 0.532680 | ||||||||
\(299\) | 0.161069 | + | 0.304983i | 0.00931484 | + | 0.0176376i | ||||
\(300\) | 1.03357 | 0.0596734 | ||||||||
\(301\) | −4.16082 | + | 9.11091i | −0.239825 | + | 0.525144i | ||||
\(302\) | −11.7764 | − | 3.45786i | −0.677656 | − | 0.198978i | ||||
\(303\) | −6.12755 | − | 7.07157i | −0.352018 | − | 0.406251i | ||||
\(304\) | −1.50556 | + | 0.967567i | −0.0863500 | + | 0.0554938i | ||||
\(305\) | 22.4598 | − | 25.9200i | 1.28604 | − | 1.48417i | ||||
\(306\) | 0.410629 | − | 2.85599i | 0.0234741 | − | 0.163266i | ||||
\(307\) | −10.4796 | + | 3.07709i | −0.598103 | + | 0.175619i | −0.566750 | − | 0.823890i | \(-0.691800\pi\) |
−0.0313524 | + | 0.999508i | \(0.509981\pi\) | |||||||
\(308\) | 1.12408 | + | 0.722401i | 0.0640503 | + | 0.0411626i | ||||
\(309\) | 0.172361 | + | 1.19880i | 0.00980526 | + | 0.0681971i | ||||
\(310\) | 8.57961 | + | 18.7867i | 0.487289 | + | 1.06701i | ||||
\(311\) | −0.0533751 | − | 0.116875i | −0.00302662 | − | 0.00662738i | 0.908113 | − | 0.418726i | \(-0.137523\pi\) |
−0.911139 | + | 0.412099i | \(0.864796\pi\) | |||||||
\(312\) | −0.0102349 | − | 0.0711851i | −0.000579436 | − | 0.00403006i | ||||
\(313\) | 0.498360 | + | 0.320277i | 0.0281690 | + | 0.0181031i | 0.554650 | − | 0.832084i | \(-0.312852\pi\) |
−0.526481 | + | 0.850187i | \(0.676489\pi\) | |||||||
\(314\) | 2.06257 | − | 0.605626i | 0.116398 | − | 0.0341775i | ||||
\(315\) | −0.349573 | + | 2.43133i | −0.0196962 | + | 0.136990i | ||||
\(316\) | −3.44143 | + | 3.97162i | −0.193595 | + | 0.223421i | ||||
\(317\) | −7.17604 | + | 4.61176i | −0.403047 | + | 0.259022i | −0.726423 | − | 0.687248i | \(-0.758819\pi\) |
0.323376 | + | 0.946271i | \(0.395182\pi\) | |||||||
\(318\) | −0.668840 | − | 0.771882i | −0.0375067 | − | 0.0432850i | ||||
\(319\) | 3.80674 | + | 1.11776i | 0.213137 | + | 0.0625826i | ||||
\(320\) | 1.02040 | − | 2.23436i | 0.0570420 | − | 0.124904i | ||||
\(321\) | 5.52758 | 0.308520 | ||||||||
\(322\) | −4.67160 | − | 1.08450i | −0.260338 | − | 0.0604366i | ||||
\(323\) | −5.16383 | −0.287323 | ||||||||
\(324\) | 0.415415 | − | 0.909632i | 0.0230786 | − | 0.0505351i | ||||
\(325\) | 0.0713207 | + | 0.0209416i | 0.00395616 | + | 0.00116163i | ||||
\(326\) | 6.05606 | + | 6.98906i | 0.335414 | + | 0.387088i | ||||
\(327\) | −13.6668 | + | 8.78310i | −0.755774 | + | 0.485706i | ||||
\(328\) | −3.13778 | + | 3.62119i | −0.173255 | + | 0.199947i | ||||
\(329\) | −1.71615 | + | 11.9361i | −0.0946143 | + | 0.658057i | ||||
\(330\) | 3.14919 | − | 0.924685i | 0.173357 | − | 0.0509022i | ||||
\(331\) | 10.3559 | + | 6.65536i | 0.569214 | + | 0.365811i | 0.793368 | − | 0.608742i | \(-0.208326\pi\) |
−0.224154 | + | 0.974554i | \(0.571962\pi\) | |||||||
\(332\) | −1.29892 | − | 9.03416i | −0.0712873 | − | 0.495814i | ||||
\(333\) | −3.59154 | − | 7.86438i | −0.196815 | − | 0.430965i | ||||
\(334\) | 4.04785 | + | 8.86356i | 0.221489 | + | 0.484992i | ||||
\(335\) | −0.713820 | − | 4.96473i | −0.0390002 | − | 0.271252i | ||||
\(336\) | 0.841254 | + | 0.540641i | 0.0458941 | + | 0.0294944i | ||||
\(337\) | −31.8669 | + | 9.35697i | −1.73590 | + | 0.509707i | −0.988047 | − | 0.154155i | \(-0.950735\pi\) |
−0.747855 | + | 0.663862i | \(0.768916\pi\) | |||||||
\(338\) | −1.84936 | + | 12.8626i | −0.100592 | + | 0.699631i | ||||
\(339\) | 7.55023 | − | 8.71343i | 0.410072 | − | 0.473249i | ||||
\(340\) | 5.96230 | − | 3.83174i | 0.323351 | − | 0.207805i | ||||
\(341\) | 7.35727 | + | 8.49074i | 0.398419 | + | 0.459800i | ||||
\(342\) | −1.71717 | − | 0.504207i | −0.0928541 | − | 0.0272644i | ||||
\(343\) | 0.415415 | − | 0.909632i | 0.0224303 | − | 0.0491155i | ||||
\(344\) | 10.0160 | 0.540029 | ||||||||
\(345\) | −9.52776 | + | 6.92776i | −0.512958 | + | 0.372978i | ||||
\(346\) | 7.57274 | 0.407113 | ||||||||
\(347\) | −9.63143 | + | 21.0899i | −0.517042 | + | 1.13216i | 0.453505 | + | 0.891254i | \(0.350173\pi\) |
−0.970547 | + | 0.240911i | \(0.922554\pi\) | |||||||
\(348\) | 2.84895 | + | 0.836526i | 0.152720 | + | 0.0448425i | ||||
\(349\) | −10.2668 | − | 11.8485i | −0.549567 | − | 0.634234i | 0.411215 | − | 0.911538i | \(-0.365104\pi\) |
−0.960782 | + | 0.277304i | \(0.910559\pi\) | |||||||
\(350\) | −0.869497 | + | 0.558792i | −0.0464766 | + | 0.0298687i | ||||
\(351\) | 0.0470957 | − | 0.0543513i | 0.00251378 | − | 0.00290106i | ||||
\(352\) | 0.190160 | − | 1.32259i | 0.0101356 | − | 0.0704945i | ||||
\(353\) | −30.5298 | + | 8.96436i | −1.62494 | + | 0.477125i | −0.962340 | − | 0.271850i | \(-0.912365\pi\) |
−0.662599 | + | 0.748975i | \(0.730546\pi\) | |||||||
\(354\) | 10.9234 | + | 7.02007i | 0.580575 | + | 0.373113i | ||||
\(355\) | 3.61096 | + | 25.1148i | 0.191650 | + | 1.33295i | ||||
\(356\) | −3.36275 | − | 7.36339i | −0.178225 | − | 0.390259i | ||||
\(357\) | 1.19862 | + | 2.62461i | 0.0634378 | + | 0.138909i | ||||
\(358\) | 0.230000 | + | 1.59969i | 0.0121559 | + | 0.0845461i | ||||
\(359\) | 1.91245 | + | 1.22905i | 0.100935 | + | 0.0648670i | 0.590135 | − | 0.807305i | \(-0.299075\pi\) |
−0.489200 | + | 0.872172i | \(0.662711\pi\) | |||||||
\(360\) | 2.35683 | − | 0.692029i | 0.124216 | − | 0.0364731i | ||||
\(361\) | 2.24816 | − | 15.6363i | 0.118324 | − | 0.822963i | ||||
\(362\) | 15.6559 | − | 18.0679i | 0.822858 | − | 0.949629i | ||||
\(363\) | −7.75180 | + | 4.98178i | −0.406864 | + | 0.261476i | ||||
\(364\) | 0.0470957 | + | 0.0543513i | 0.00246849 | + | 0.00284878i | ||||
\(365\) | −24.3302 | − | 7.14400i | −1.27350 | − | 0.373934i | ||||
\(366\) | 5.80032 | − | 12.7009i | 0.303187 | − | 0.663888i | ||||
\(367\) | −16.5705 | −0.864972 | −0.432486 | − | 0.901641i | \(-0.642363\pi\) | ||||
−0.432486 | + | 0.901641i | \(0.642363\pi\) | |||||||
\(368\) | 0.954162 | + | 4.69995i | 0.0497391 | + | 0.245002i | ||||
\(369\) | −4.79152 | −0.249437 | ||||||||
\(370\) | 8.82202 | − | 19.3175i | 0.458635 | − | 1.00427i | ||||
\(371\) | 0.979975 | + | 0.287747i | 0.0508778 | + | 0.0149391i | ||||
\(372\) | 5.50614 | + | 6.35442i | 0.285480 | + | 0.329462i | ||||
\(373\) | 14.2058 | − | 9.12952i | 0.735549 | − | 0.472708i | −0.118465 | − | 0.992958i | \(-0.537797\pi\) |
0.854014 | + | 0.520250i | \(0.174161\pi\) | |||||||
\(374\) | 2.52475 | − | 2.91372i | 0.130552 | − | 0.150665i | ||||
\(375\) | 1.38655 | − | 9.64370i | 0.0716014 | − | 0.497998i | ||||
\(376\) | 11.5703 | − | 3.39736i | 0.596695 | − | 0.175205i | ||||
\(377\) | 0.179639 | + | 0.115447i | 0.00925190 | + | 0.00594583i | ||||
\(378\) | 0.142315 | + | 0.989821i | 0.00731989 | + | 0.0509109i | ||||
\(379\) | 4.64446 | + | 10.1699i | 0.238570 | + | 0.522395i | 0.990609 | − | 0.136723i | \(-0.0436570\pi\) |
−0.752039 | + | 0.659118i | \(0.770930\pi\) | |||||||
\(380\) | −1.82617 | − | 3.99876i | −0.0936807 | − | 0.205132i | ||||
\(381\) | 1.33706 | + | 9.29944i | 0.0684995 | + | 0.476425i | ||||
\(382\) | 0.586824 | + | 0.377129i | 0.0300246 | + | 0.0192956i | ||||
\(383\) | −21.4653 | + | 6.30279i | −1.09683 | + | 0.322057i | −0.779591 | − | 0.626289i | \(-0.784573\pi\) |
−0.317236 | + | 0.948347i | \(0.602755\pi\) | |||||||
\(384\) | 0.142315 | − | 0.989821i | 0.00726247 | − | 0.0505116i | ||||
\(385\) | −2.14934 | + | 2.48047i | −0.109541 | + | 0.126417i | ||||
\(386\) | 5.65719 | − | 3.63566i | 0.287943 | − | 0.185050i | ||||
\(387\) | 6.55911 | + | 7.56962i | 0.333419 | + | 0.384785i | ||||
\(388\) | 11.2870 | + | 3.31416i | 0.573010 | + | 0.168251i | ||||
\(389\) | 2.44736 | − | 5.35896i | 0.124086 | − | 0.271710i | −0.837387 | − | 0.546611i | \(-0.815918\pi\) |
0.961473 | + | 0.274901i | \(0.0886450\pi\) | |||||||
\(390\) | 0.176652 | 0.00894514 | ||||||||
\(391\) | −5.01561 | + | 12.8967i | −0.253650 | + | 0.652215i | ||||
\(392\) | −1.00000 | −0.0505076 | ||||||||
\(393\) | 1.63125 | − | 3.57194i | 0.0822857 | − | 0.180181i | ||||
\(394\) | 10.9072 | + | 3.20263i | 0.549495 | + | 0.161346i | ||||
\(395\) | −8.45329 | − | 9.75561i | −0.425331 | − | 0.490858i | ||||
\(396\) | 1.12408 | − | 0.722401i | 0.0564870 | − | 0.0363020i | ||||
\(397\) | −12.7534 | + | 14.7182i | −0.640075 | + | 0.738686i | −0.979388 | − | 0.201987i | \(-0.935260\pi\) |
0.339313 | + | 0.940674i | \(0.389806\pi\) | |||||||
\(398\) | −0.241037 | + | 1.67645i | −0.0120821 | + | 0.0840327i | ||||
\(399\) | 1.71717 | − | 0.504207i | 0.0859662 | − | 0.0252419i | ||||
\(400\) | 0.869497 | + | 0.558792i | 0.0434749 | + | 0.0279396i | ||||
\(401\) | −0.551015 | − | 3.83239i | −0.0275164 | − | 0.191380i | 0.971427 | − | 0.237338i | \(-0.0762750\pi\) |
−0.998943 | + | 0.0459580i | \(0.985366\pi\) | |||||||
\(402\) | −0.848269 | − | 1.85745i | −0.0423078 | − | 0.0926412i | ||||
\(403\) | 0.251196 | + | 0.550043i | 0.0125130 | + | 0.0273996i | ||||
\(404\) | −1.33164 | − | 9.26178i | −0.0662517 | − | 0.460791i | ||||
\(405\) | 2.06640 | + | 1.32799i | 0.102680 | + | 0.0659886i | ||||
\(406\) | −2.84895 | + | 0.836526i | −0.141391 | + | 0.0415161i | ||||
\(407\) | 1.64406 | − | 11.4347i | 0.0814932 | − | 0.566797i | ||||
\(408\) | 1.88951 | − | 2.18061i | 0.0935446 | − | 0.107956i | ||||
\(409\) | −6.15668 | + | 3.95666i | −0.304428 | + | 0.195644i | −0.683932 | − | 0.729546i | \(-0.739731\pi\) |
0.379503 | + | 0.925190i | \(0.376095\pi\) | |||||||
\(410\) | −7.70743 | − | 8.89485i | −0.380643 | − | 0.439285i | ||||
\(411\) | 6.36093 | + | 1.86774i | 0.313761 | + | 0.0921286i | ||||
\(412\) | −0.503118 | + | 1.10168i | −0.0247869 | + | 0.0542757i | ||||
\(413\) | −12.9847 | −0.638937 | ||||||||
\(414\) | −2.92715 | + | 3.79892i | −0.143861 | + | 0.186707i | ||||
\(415\) | 22.4191 | 1.10051 | ||||||||
\(416\) | 0.0298755 | − | 0.0654181i | 0.00146476 | − | 0.00320739i | ||||
\(417\) | 7.96558 | + | 2.33891i | 0.390076 | + | 0.114537i | ||||
\(418\) | −1.56600 | − | 1.80726i | −0.0765954 | − | 0.0883958i | ||||
\(419\) | −11.8172 | + | 7.59444i | −0.577307 | + | 0.371013i | −0.796472 | − | 0.604675i | \(-0.793303\pi\) |
0.219165 | + | 0.975688i | \(0.429667\pi\) | |||||||
\(420\) | −1.60856 | + | 1.85637i | −0.0784895 | + | 0.0905817i | ||||
\(421\) | −0.756545 | + | 5.26189i | −0.0368717 | + | 0.256449i | −0.999917 | − | 0.0128914i | \(-0.995896\pi\) |
0.963045 | + | 0.269340i | \(0.0868055\pi\) | |||||||
\(422\) | 14.5511 | − | 4.27258i | 0.708335 | − | 0.207986i | ||||
\(423\) | 10.1445 | + | 6.51948i | 0.493243 | + | 0.316988i | ||||
\(424\) | −0.145353 | − | 1.01095i | −0.00705896 | − | 0.0490961i | ||||
\(425\) | 1.23886 | + | 2.71273i | 0.0600937 | + | 0.131587i | ||||
\(426\) | 4.29109 | + | 9.39618i | 0.207904 | + | 0.455246i | ||||
\(427\) | 1.98710 | + | 13.8206i | 0.0961625 | + | 0.668825i | ||||
\(428\) | 4.65010 | + | 2.98844i | 0.224771 | + | 0.144452i | ||||
\(429\) | 0.0922027 | − | 0.0270732i | 0.00445159 | − | 0.00130710i | ||||
\(430\) | −3.50134 | + | 24.3523i | −0.168849 | + | 1.17437i | ||||
\(431\) | 11.7789 | − | 13.5936i | 0.567371 | − | 0.654781i | −0.397470 | − | 0.917615i | \(-0.630112\pi\) |
0.964841 | + | 0.262834i | \(0.0846573\pi\) | |||||||
\(432\) | 0.841254 | − | 0.540641i | 0.0404748 | − | 0.0260116i | ||||
\(433\) | 14.7940 | + | 17.0732i | 0.710955 | + | 0.820486i | 0.990189 | − | 0.139738i | \(-0.0446259\pi\) |
−0.279234 | + | 0.960223i | \(0.590080\pi\) | |||||||
\(434\) | −8.06752 | − | 2.36884i | −0.387253 | − | 0.113708i | ||||
\(435\) | −3.02979 | + | 6.63430i | −0.145267 | + | 0.318091i | ||||
\(436\) | −16.2457 | −0.778029 | ||||||||
\(437\) | 7.47514 | + | 4.21772i | 0.357584 | + | 0.201761i | ||||
\(438\) | −10.3233 | −0.493265 | ||||||||
\(439\) | 10.4314 | − | 22.8415i | 0.497862 | − | 1.09017i | −0.479296 | − | 0.877653i | \(-0.659108\pi\) |
0.977158 | − | 0.212513i | \(-0.0681647\pi\) | |||||||
\(440\) | 3.14919 | + | 0.924685i | 0.150132 | + | 0.0440826i | ||||
\(441\) | −0.654861 | − | 0.755750i | −0.0311838 | − | 0.0359881i | ||||
\(442\) | 0.174566 | − | 0.112187i | 0.00830325 | − | 0.00533617i | ||||
\(443\) | 14.1875 | − | 16.3732i | 0.674068 | − | 0.777916i | −0.310939 | − | 0.950430i | \(-0.600644\pi\) |
0.985007 | + | 0.172514i | \(0.0551890\pi\) | |||||||
\(444\) | 1.23041 | − | 8.55767i | 0.0583925 | − | 0.406129i | ||||
\(445\) | 19.0784 | − | 5.60191i | 0.904401 | − | 0.265556i | ||||
\(446\) | −9.74961 | − | 6.26569i | −0.461657 | − | 0.296689i | ||||
\(447\) | 1.30865 | + | 9.10188i | 0.0618971 | + | 0.430504i | ||||
\(448\) | 0.415415 | + | 0.909632i | 0.0196265 | + | 0.0429761i | ||||
\(449\) | −8.73908 | − | 19.1359i | −0.412423 | − | 0.903080i | −0.995858 | − | 0.0909201i | \(-0.971019\pi\) |
0.583436 | − | 0.812159i | \(-0.301708\pi\) | |||||||
\(450\) | 0.147093 | + | 1.02305i | 0.00693402 | + | 0.0482272i | ||||
\(451\) | −5.38605 | − | 3.46140i | −0.253619 | − | 0.162991i | ||||
\(452\) | 11.0625 | − | 3.24824i | 0.520336 | − | 0.152784i | ||||
\(453\) | 1.74671 | − | 12.1486i | 0.0820676 | − | 0.570793i | ||||
\(454\) | 6.47125 | − | 7.46823i | 0.303711 | − | 0.350501i | ||||
\(455\) | −0.148609 | + | 0.0955055i | −0.00696692 | + | 0.00447737i | ||||
\(456\) | −1.17198 | − | 1.35254i | −0.0548831 | − | 0.0633385i | ||||
\(457\) | −6.70425 | − | 1.96854i | −0.313611 | − | 0.0920846i | 0.121139 | − | 0.992636i | \(-0.461345\pi\) |
−0.434751 | + | 0.900551i | \(0.643163\pi\) | |||||||
\(458\) | −4.21759 | + | 9.23523i | −0.197075 | + | 0.431534i | ||||
\(459\) | 2.88536 | 0.134677 | ||||||||
\(460\) | −11.7607 | + | 0.676907i | −0.548345 | + | 0.0315610i | ||||
\(461\) | 15.8865 | 0.739910 | 0.369955 | − | 0.929050i | \(-0.379373\pi\) | ||||
0.369955 | + | 0.929050i | \(0.379373\pi\) | |||||||
\(462\) | −0.555075 | + | 1.21544i | −0.0258244 | + | 0.0565476i | ||||
\(463\) | −22.6903 | − | 6.66248i | −1.05451 | − | 0.309632i | −0.291871 | − | 0.956458i | \(-0.594278\pi\) |
−0.762637 | + | 0.646826i | \(0.776096\pi\) | |||||||
\(464\) | 1.94443 | + | 2.24399i | 0.0902677 | + | 0.104174i | ||||
\(465\) | −17.3745 | + | 11.1659i | −0.805723 | + | 0.517807i | ||||
\(466\) | 4.73838 | − | 5.46838i | 0.219501 | − | 0.253318i | ||||
\(467\) | −5.90397 | + | 41.0630i | −0.273203 | + | 1.90017i | 0.141040 | + | 0.990004i | \(0.454955\pi\) |
−0.414243 | + | 0.910166i | \(0.635954\pi\) | |||||||
\(468\) | 0.0690040 | − | 0.0202614i | 0.00318971 | − | 0.000936583i | ||||
\(469\) | 1.71782 | + | 1.10398i | 0.0793217 | + | 0.0509770i | ||||
\(470\) | 4.21543 | + | 29.3190i | 0.194443 | + | 1.35238i | ||||
\(471\) | 0.892997 | + | 1.95539i | 0.0411471 | + | 0.0900996i | ||||
\(472\) | 5.39405 | + | 11.8113i | 0.248281 | + | 0.543660i | ||||
\(473\) | 1.90465 | + | 13.2472i | 0.0875761 | + | 0.609105i | ||||
\(474\) | −4.42096 | − | 2.84118i | −0.203061 | − | 0.130500i | ||||
\(475\) | 1.77482 | − | 0.521135i | 0.0814345 | − | 0.0239113i | ||||
\(476\) | −0.410629 | + | 2.85599i | −0.0188212 | + | 0.130904i | ||||
\(477\) | 0.668840 | − | 0.771882i | 0.0306241 | − | 0.0353421i | ||||
\(478\) | 19.3311 | − | 12.4233i | 0.884183 | − | 0.568230i | ||||
\(479\) | −0.0662485 | − | 0.0764549i | −0.00302697 | − | 0.00349331i | 0.754234 | − | 0.656606i | \(-0.228008\pi\) |
−0.757261 | + | 0.653112i | \(0.773463\pi\) | |||||||
\(480\) | 2.35683 | + | 0.692029i | 0.107574 | + | 0.0315867i | ||||
\(481\) | 0.258293 | − | 0.565583i | 0.0117772 | − | 0.0257884i | ||||
\(482\) | −11.4362 | −0.520906 | ||||||||
\(483\) | 0.408619 | − | 4.77839i | 0.0185928 | − | 0.217424i | ||||
\(484\) | −9.21459 | −0.418845 | ||||||||
\(485\) | −12.0034 | + | 26.2839i | −0.545048 | + | 1.19349i | ||||
\(486\) | 0.959493 | + | 0.281733i | 0.0435235 | + | 0.0127796i | ||||
\(487\) | −27.0804 | − | 31.2525i | −1.22713 | − | 1.41618i | −0.877692 | − | 0.479225i | \(-0.840918\pi\) |
−0.349438 | − | 0.936959i | \(-0.613628\pi\) | |||||||
\(488\) | 11.7462 | − | 7.54881i | 0.531724 | − | 0.341719i | ||||
\(489\) | −6.05606 | + | 6.98906i | −0.273864 | + | 0.316056i | ||||
\(490\) | 0.349573 | − | 2.43133i | 0.0157921 | − | 0.109836i | ||||
\(491\) | 39.2927 | − | 11.5374i | 1.77325 | − | 0.520675i | 0.778935 | − | 0.627105i | \(-0.215760\pi\) |
0.994320 | + | 0.106431i | \(0.0339422\pi\) | |||||||
\(492\) | −4.03089 | − | 2.59049i | −0.181726 | − | 0.116788i | ||||
\(493\) | 1.21925 | + | 8.48006i | 0.0549122 | + | 0.381923i | ||||
\(494\) | −0.0534671 | − | 0.117077i | −0.00240560 | − | 0.00526753i | ||||
\(495\) | 1.36345 | + | 2.98554i | 0.0612825 | + | 0.134190i | ||||
\(496\) | 1.19660 | + | 8.32253i | 0.0537289 | + | 0.373692i | ||||
\(497\) | −8.68985 | − | 5.58463i | −0.389793 | − | 0.250505i | ||||
\(498\) | 8.75735 | − | 2.57139i | 0.392426 | − | 0.115227i | ||||
\(499\) | −3.49531 | + | 24.3104i | −0.156471 | + | 1.08828i | 0.748599 | + | 0.663023i | \(0.230727\pi\) |
−0.905071 | + | 0.425261i | \(0.860182\pi\) | |||||||
\(500\) | 6.38022 | − | 7.36317i | 0.285332 | − | 0.329291i | ||||
\(501\) | −8.19727 | + | 5.26806i | −0.366227 | + | 0.235360i | ||||
\(502\) | −13.6374 | − | 15.7384i | −0.608666 | − | 0.702439i | ||||
\(503\) | −10.9179 | − | 3.20577i | −0.486803 | − | 0.142938i | 0.0291150 | − | 0.999576i | \(-0.490731\pi\) |
−0.515919 | + | 0.856638i | \(0.672549\pi\) | |||||||
\(504\) | −0.415415 | + | 0.909632i | −0.0185041 | + | 0.0405182i | ||||
\(505\) | 22.9840 | 1.02277 | ||||||||
\(506\) | −6.03469 | + | 2.15571i | −0.268275 | + | 0.0958331i | ||||
\(507\) | −12.9948 | −0.577121 | ||||||||
\(508\) | −3.90285 | + | 8.54605i | −0.173161 | + | 0.379170i | ||||
\(509\) | 41.4301 | + | 12.1650i | 1.83636 | + | 0.539203i | 0.999960 | − | 0.00892132i | \(-0.00283978\pi\) |
0.836397 | + | 0.548124i | \(0.184658\pi\) | |||||||
\(510\) | 4.64126 | + | 5.35630i | 0.205519 | + | 0.237181i | ||||
\(511\) | 8.68448 | − | 5.58118i | 0.384179 | − | 0.246897i | ||||
\(512\) | 0.654861 | − | 0.755750i | 0.0289410 | − | 0.0333997i | ||||
\(513\) | 0.254696 | − | 1.77145i | 0.0112451 | − | 0.0782115i | ||||
\(514\) | −1.39961 | + | 0.410963i | −0.0617342 | + | 0.0181268i | ||||
\(515\) | −2.50266 | − | 1.60836i | −0.110280 | − | 0.0708730i | ||||
\(516\) | 1.42543 | + | 9.91410i | 0.0627511 | + | 0.436444i | ||||
\(517\) | 6.69354 | + | 14.6568i | 0.294382 | + | 0.644606i | ||||
\(518\) | 3.59154 | + | 7.86438i | 0.157803 | + | 0.345541i | ||||
\(519\) | 1.07771 | + | 7.49566i | 0.0473064 | + | 0.329023i | ||||
\(520\) | 0.148609 | + | 0.0955055i | 0.00651696 | + | 0.00418819i | ||||
\(521\) | −32.2970 | + | 9.48327i | −1.41496 | + | 0.415469i | −0.897794 | − | 0.440416i | \(-0.854831\pi\) |
−0.517165 | + | 0.855886i | \(0.673013\pi\) | |||||||
\(522\) | −0.422564 | + | 2.93900i | −0.0184951 | + | 0.128636i | ||||
\(523\) | 22.8198 | − | 26.3355i | 0.997841 | − | 1.15157i | 0.00940098 | − | 0.999956i | \(-0.497008\pi\) |
0.988440 | − | 0.151614i | \(-0.0484470\pi\) | |||||||
\(524\) | 3.30343 | − | 2.12299i | 0.144311 | − | 0.0927431i | ||||
\(525\) | −0.676847 | − | 0.781123i | −0.0295400 | − | 0.0340910i | ||||
\(526\) | 18.7331 | + | 5.50053i | 0.816801 | + | 0.239835i | ||||
\(527\) | −10.0781 | + | 22.0680i | −0.439011 | + | 0.961299i | ||||
\(528\) | 1.33619 | 0.0581504 | ||||||||
\(529\) | 17.7944 | − | 14.5726i | 0.773669 | − | 0.633590i | ||||
\(530\) | 2.50877 | 0.108974 | ||||||||
\(531\) | −5.39405 | + | 11.8113i | −0.234082 | + | 0.512568i | ||||
\(532\) | 1.71717 | + | 0.504207i | 0.0744489 | + | 0.0218602i | ||||
\(533\) | −0.225660 | − | 0.260426i | −0.00977443 | − | 0.0112803i | ||||
\(534\) | 6.80987 | − | 4.37644i | 0.294692 | − | 0.189387i | ||||
\(535\) | −8.89143 | + | 10.2613i | −0.384410 | + | 0.443633i | ||||
\(536\) | 0.290604 | − | 2.02120i | 0.0125522 | − | 0.0873024i | ||||
\(537\) | −1.55067 | + | 0.455319i | −0.0669165 | + | 0.0196484i | ||||
\(538\) | −13.7819 | − | 8.85711i | −0.594181 | − | 0.381857i | ||||
\(539\) | −0.190160 | − | 1.32259i | −0.00819078 | − | 0.0569681i | ||||
\(540\) | 1.02040 | + | 2.23436i | 0.0439109 | + | 0.0961515i | ||||
\(541\) | 8.14409 | + | 17.8331i | 0.350142 | + | 0.766704i | 0.999978 | + | 0.00662930i | \(0.00211019\pi\) |
−0.649836 | + | 0.760074i | \(0.725163\pi\) | |||||||
\(542\) | −4.28057 | − | 29.7720i | −0.183866 | − | 1.27882i | ||||
\(543\) | 20.1121 | + | 12.9253i | 0.863092 | + | 0.554676i | ||||
\(544\) | 2.76848 | − | 0.812900i | 0.118698 | − | 0.0348528i | ||||
\(545\) | 5.67906 | − | 39.4987i | 0.243264 | − | 1.69194i | ||||
\(546\) | −0.0470957 | + | 0.0543513i | −0.00201551 | + | 0.00232602i | ||||
\(547\) | −31.9087 | + | 20.5065i | −1.36432 | + | 0.876794i | −0.998546 | − | 0.0539102i | \(-0.982832\pi\) |
−0.365772 | + | 0.930704i | \(0.619195\pi\) | |||||||
\(548\) | 4.34138 | + | 5.01022i | 0.185454 | + | 0.214026i | ||||
\(549\) | 13.3971 | + | 3.93375i | 0.571775 | + | 0.167888i | ||||
\(550\) | −0.573711 | + | 1.25625i | −0.0244631 | + | 0.0535667i | ||||
\(551\) | 5.31392 | 0.226380 | ||||||||
\(552\) | −4.51632 | + | 1.61332i | −0.192228 | + | 0.0686676i | ||||
\(553\) | 5.25520 | 0.223474 | ||||||||
\(554\) | −2.56164 | + | 5.60921i | −0.108834 | + | 0.238313i | ||||
\(555\) | 20.3764 | + | 5.98306i | 0.864931 | + | 0.253967i | ||||
\(556\) | 5.43657 | + | 6.27413i | 0.230562 | + | 0.266083i | ||||
\(557\) | −26.6767 | + | 17.1441i | −1.13033 | + | 0.726418i | −0.965629 | − | 0.259926i | \(-0.916302\pi\) |
−0.164700 | + | 0.986344i | \(0.552666\pi\) | |||||||
\(558\) | −5.50614 | + | 6.35442i | −0.233093 | + | 0.269004i | ||||
\(559\) | −0.102513 | + | 0.712993i | −0.00433584 | + | 0.0301564i | ||||
\(560\) | −2.35683 | + | 0.692029i | −0.0995944 | + | 0.0292436i | ||||
\(561\) | 3.24337 | + | 2.08439i | 0.136935 | + | 0.0880029i | ||||
\(562\) | −0.163303 | − | 1.13580i | −0.00688853 | − | 0.0479108i | ||||
\(563\) | 14.4467 | + | 31.6339i | 0.608857 | + | 1.33321i | 0.923353 | + | 0.383953i | \(0.125437\pi\) |
−0.314495 | + | 0.949259i | \(0.601835\pi\) | |||||||
\(564\) | 5.00941 | + | 10.9691i | 0.210934 | + | 0.461882i | ||||
\(565\) | 4.03041 | + | 28.0321i | 0.169560 | + | 1.17932i | ||||
\(566\) | 14.6169 | + | 9.39372i | 0.614395 | + | 0.394848i | ||||
\(567\) | −0.959493 | + | 0.281733i | −0.0402949 | + | 0.0118317i | ||||
\(568\) | −1.47006 | + | 10.2245i | −0.0616824 | + | 0.429011i | ||||
\(569\) | 4.34974 | − | 5.01987i | 0.182351 | − | 0.210444i | −0.657213 | − | 0.753705i | \(-0.728265\pi\) |
0.839564 | + | 0.543261i | \(0.182810\pi\) | |||||||
\(570\) | 3.69817 | − | 2.37667i | 0.154899 | − | 0.0995476i | ||||
\(571\) | 10.5471 | + | 12.1720i | 0.441383 | + | 0.509383i | 0.932232 | − | 0.361861i | \(-0.117859\pi\) |
−0.490849 | + | 0.871245i | \(0.663313\pi\) | |||||||
\(572\) | 0.0922027 | + | 0.0270732i | 0.00385519 | + | 0.00113199i | ||||
\(573\) | −0.289777 | + | 0.634522i | −0.0121056 | + | 0.0265076i | ||||
\(574\) | 4.79152 | 0.199994 | ||||||||
\(575\) | 0.422338 | − | 4.93882i | 0.0176127 | − | 0.205963i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 15.0930 | − | 33.0491i | 0.628330 | − | 1.37585i | −0.280973 | − | 0.959716i | \(-0.590657\pi\) |
0.909303 | − | 0.416135i | \(-0.136616\pi\) | |||||||
\(578\) | −8.32332 | − | 2.44395i | −0.346204 | − | 0.101655i | ||||
\(579\) | 4.40375 | + | 5.08220i | 0.183014 | + | 0.211209i | ||||
\(580\) | −6.13559 | + | 3.94311i | −0.254767 | + | 0.163729i | ||||
\(581\) | −5.97696 | + | 6.89778i | −0.247966 | + | 0.286168i | ||||
\(582\) | −1.67412 | + | 11.6437i | −0.0693944 | + | 0.482649i | ||||
\(583\) | 1.30944 | − | 0.384485i | 0.0542313 | − | 0.0159238i | ||||
\(584\) | −8.68448 | − | 5.58118i | −0.359366 | − | 0.230951i | ||||
\(585\) | 0.0251403 | + | 0.174854i | 0.00103942 | + | 0.00722934i | ||||
\(586\) | 0.948577 | + | 2.07709i | 0.0391854 | + | 0.0858040i | ||||
\(587\) | −0.269284 | − | 0.589649i | −0.0111145 | − | 0.0243374i | 0.903993 | − | 0.427547i | \(-0.140622\pi\) |
−0.915108 | + | 0.403209i | \(0.867895\pi\) | |||||||
\(588\) | −0.142315 | − | 0.989821i | −0.00586897 | − | 0.0408195i | ||||
\(589\) | 12.6589 | + | 8.13541i | 0.521603 | + | 0.335214i | ||||
\(590\) | −30.6028 | + | 8.98581i | −1.25990 | + | 0.369940i | ||||
\(591\) | −1.61778 | + | 11.2519i | −0.0665467 | + | 0.462843i | ||||
\(592\) | 5.66171 | − | 6.53396i | 0.232695 | − | 0.268544i | ||||
\(593\) | 25.9909 | − | 16.7033i | 1.06732 | − | 0.685923i | 0.115723 | − | 0.993282i | \(-0.463082\pi\) |
0.951594 | + | 0.307359i | \(0.0994452\pi\) | |||||||
\(594\) | 0.875021 | + | 1.00983i | 0.0359025 | + | 0.0414338i | ||||
\(595\) | −6.80031 | − | 1.99675i | −0.278786 | − | 0.0818589i | ||||
\(596\) | −3.81994 | + | 8.36450i | −0.156471 | + | 0.342623i | ||||
\(597\) | −1.69369 | −0.0693180 | ||||||||
\(598\) | −0.344333 | + | 0.0198187i | −0.0140808 | + | 0.000810445i | ||||
\(599\) | 4.65195 | 0.190074 | 0.0950369 | − | 0.995474i | \(-0.469703\pi\) | ||||
0.0950369 | + | 0.995474i | \(0.469703\pi\) | |||||||
\(600\) | −0.429362 | + | 0.940171i | −0.0175286 | + | 0.0383823i | ||||
\(601\) | 14.9171 | + | 4.38006i | 0.608481 | + | 0.178666i | 0.571435 | − | 0.820647i | \(-0.306387\pi\) |
0.0370464 | + | 0.999314i | \(0.488205\pi\) | |||||||
\(602\) | −6.55911 | − | 7.56962i | −0.267330 | − | 0.308515i | ||||
\(603\) | 1.71782 | − | 1.10398i | 0.0699552 | − | 0.0449574i | ||||
\(604\) | 8.03748 | − | 9.27575i | 0.327040 | − | 0.377425i | ||||
\(605\) | 3.22117 | − | 22.4037i | 0.130959 | − | 0.910840i | ||||
\(606\) | 8.97800 | − | 2.63618i | 0.364706 | − | 0.107087i | ||||
\(607\) | 10.0268 | + | 6.44384i | 0.406976 | + | 0.261547i | 0.728074 | − | 0.685498i | \(-0.240416\pi\) |
−0.321098 | + | 0.947046i | \(0.604052\pi\) | |||||||
\(608\) | −0.254696 | − | 1.77145i | −0.0103293 | − | 0.0718418i | ||||
\(609\) | −1.23346 | − | 2.70090i | −0.0499823 | − | 0.109446i | ||||
\(610\) | 14.2475 | + | 31.1977i | 0.576865 | + | 1.26316i | ||||
\(611\) | 0.123420 | + | 0.858408i | 0.00499305 | + | 0.0347275i | ||||
\(612\) | 2.42732 | + | 1.55994i | 0.0981185 | + | 0.0630569i | ||||
\(613\) | −4.70161 | + | 1.38052i | −0.189896 | + | 0.0557586i | −0.375298 | − | 0.926904i | \(-0.622460\pi\) |
0.185402 | + | 0.982663i | \(0.440641\pi\) | |||||||
\(614\) | 1.55437 | − | 10.8109i | 0.0627291 | − | 0.436291i | ||||
\(615\) | 7.70743 | − | 8.89485i | 0.310794 | − | 0.358675i | ||||
\(616\) | −1.12408 | + | 0.722401i | −0.0452904 | + | 0.0291064i | ||||
\(617\) | −12.4724 | − | 14.3939i | −0.502119 | − | 0.579476i | 0.446944 | − | 0.894562i | \(-0.352512\pi\) |
−0.949063 | + | 0.315086i | \(0.897967\pi\) | |||||||
\(618\) | −1.16206 | − | 0.341213i | −0.0467451 | − | 0.0137256i | ||||
\(619\) | 6.70937 | − | 14.6915i | 0.269672 | − | 0.590500i | −0.725546 | − | 0.688174i | \(-0.758413\pi\) |
0.995219 | + | 0.0976733i | \(0.0311400\pi\) | |||||||
\(620\) | −20.6531 | −0.829449 | ||||||||
\(621\) | −4.17683 | − | 2.35671i | −0.167610 | − | 0.0945715i | ||||
\(622\) | 0.128486 | 0.00515183 | ||||||||
\(623\) | −3.36275 | + | 7.36339i | −0.134726 | + | 0.295008i | ||||
\(624\) | 0.0690040 | + | 0.0202614i | 0.00276237 | + | 0.000811105i | ||||
\(625\) | 19.0562 | + | 21.9920i | 0.762247 | + | 0.879680i | ||||
\(626\) | −0.498360 | + | 0.320277i | −0.0199185 | + | 0.0128008i | ||||
\(627\) | 1.56600 | − | 1.80726i | 0.0625399 | − | 0.0721749i | ||||
\(628\) | −0.305927 | + | 2.12777i | −0.0122078 | + | 0.0849072i | ||||
\(629\) | 23.9354 | − | 7.02806i | 0.954366 | − | 0.280227i | ||||
\(630\) | −2.06640 | − | 1.32799i | −0.0823273 | − | 0.0529085i | ||||
\(631\) | −5.23441 | − | 36.4061i | −0.208379 | − | 1.44930i | −0.778448 | − | 0.627709i | \(-0.783993\pi\) |
0.570070 | − | 0.821596i | \(-0.306916\pi\) | |||||||
\(632\) | −2.18309 | − | 4.78030i | −0.0868386 | − | 0.190150i | ||||
\(633\) | 6.29993 | + | 13.7949i | 0.250400 | + | 0.548299i | ||||
\(634\) | −1.21397 | − | 8.44336i | −0.0482130 | − | 0.335328i | ||||
\(635\) | −19.4140 | − | 12.4766i | −0.770420 | − | 0.495119i | ||||
\(636\) | 0.979975 | − | 0.287747i | 0.0388585 | − | 0.0114099i | ||||
\(637\) | 0.0102349 | − | 0.0711851i | 0.000405520 | − | 0.00282046i | ||||
\(638\) | −2.59813 | + | 2.99840i | −0.102861 | + | 0.118708i | ||||
\(639\) | −8.68985 | + | 5.58463i | −0.343765 | + | 0.220924i | ||||
\(640\) | 1.60856 | + | 1.85637i | 0.0635838 | + | 0.0733796i | ||||
\(641\) | −32.6644 | − | 9.59112i | −1.29016 | − | 0.378826i | −0.436525 | − | 0.899692i | \(-0.643791\pi\) |
−0.853639 | + | 0.520865i | \(0.825609\pi\) | |||||||
\(642\) | −2.29624 | + | 5.02807i | −0.0906254 | + | 0.198442i | ||||
\(643\) | 9.71405 | 0.383085 | 0.191542 | − | 0.981484i | \(-0.438651\pi\) | ||||
0.191542 | + | 0.981484i | \(0.438651\pi\) | |||||||
\(644\) | 2.92715 | − | 3.79892i | 0.115346 | − | 0.149699i | ||||
\(645\) | −24.6027 | −0.968732 | ||||||||
\(646\) | 2.14513 | − | 4.69719i | 0.0843991 | − | 0.184808i | ||||
\(647\) | 45.7503 | + | 13.4335i | 1.79863 | + | 0.528126i | 0.997520 | − | 0.0703902i | \(-0.0224244\pi\) |
0.801111 | + | 0.598516i | \(0.204243\pi\) | |||||||
\(648\) | 0.654861 | + | 0.755750i | 0.0257254 | + | 0.0296886i | ||||
\(649\) | −14.5958 | + | 9.38018i | −0.572937 | + | 0.368204i | ||||
\(650\) | −0.0486769 | + | 0.0561761i | −0.00190926 | + | 0.00220341i | ||||
\(651\) | 1.19660 | − | 8.32253i | 0.0468984 | − | 0.326186i | ||||
\(652\) | −8.87325 | + | 2.60542i | −0.347503 | + | 0.102036i | ||||
\(653\) | −12.6420 | − | 8.12455i | −0.494721 | − | 0.317938i | 0.269380 | − | 0.963034i | \(-0.413181\pi\) |
−0.764102 | + | 0.645096i | \(0.776817\pi\) | |||||||
\(654\) | −2.31201 | − | 16.0804i | −0.0904066 | − | 0.628792i | ||||
\(655\) | 4.00689 | + | 8.77387i | 0.156562 | + | 0.342824i | ||||
\(656\) | −1.99047 | − | 4.35852i | −0.0777148 | − | 0.170172i | ||||
\(657\) | −1.46915 | − | 10.2182i | −0.0573171 | − | 0.398649i | ||||
\(658\) | −10.1445 | − | 6.51948i | −0.395474 | − | 0.254156i | ||||
\(659\) | 30.1891 | − | 8.86431i | 1.17600 | − | 0.345304i | 0.365369 | − | 0.930863i | \(-0.380943\pi\) |
0.810630 | + | 0.585558i | \(0.199125\pi\) | |||||||
\(660\) | −0.467097 | + | 3.24873i | −0.0181817 | + | 0.126457i | ||||
\(661\) | 11.5924 | − | 13.3783i | 0.450892 | − | 0.520357i | −0.484107 | − | 0.875009i | \(-0.660855\pi\) |
0.934998 | + | 0.354652i | \(0.115401\pi\) | |||||||
\(662\) | −10.3559 | + | 6.65536i | −0.402495 | + | 0.258668i | ||||
\(663\) | 0.135888 | + | 0.156823i | 0.00527745 | + | 0.00609050i | ||||
\(664\) | 8.75735 | + | 2.57139i | 0.339851 | + | 0.0997893i | ||||
\(665\) | −1.82617 | + | 3.99876i | −0.0708159 | + | 0.155065i | ||||
\(666\) | 8.64567 | 0.335013 | ||||||||
\(667\) | 5.16138 | − | 13.2716i | 0.199850 | − | 0.513877i | ||||
\(668\) | −9.74411 | −0.377011 | ||||||||
\(669\) | 4.81440 | − | 10.5421i | 0.186136 | − | 0.407580i | ||||
\(670\) | 4.81261 | + | 1.41311i | 0.185927 | + | 0.0545932i | ||||
\(671\) | 12.2177 | + | 14.0999i | 0.471658 | + | 0.544322i | ||||
\(672\) | −0.841254 | + | 0.540641i | −0.0324521 | + | 0.0208557i | ||||
\(673\) | 2.46490 | − | 2.84464i | 0.0950148 | − | 0.109653i | −0.706251 | − | 0.707962i | \(-0.749615\pi\) |
0.801266 | + | 0.598309i | \(0.204160\pi\) | |||||||
\(674\) | 4.72660 | − | 32.8742i | 0.182062 | − | 1.26627i | ||||
\(675\) | −0.991706 | + | 0.291191i | −0.0381708 | + | 0.0112080i | ||||
\(676\) | −10.9319 | − | 7.02553i | −0.420459 | − | 0.270213i | ||||
\(677\) | −6.93624 | − | 48.2426i | −0.266581 | − | 1.85411i | −0.480150 | − | 0.877187i | \(-0.659418\pi\) |
0.213568 | − | 0.976928i | \(-0.431491\pi\) | |||||||
\(678\) | 4.78954 | + | 10.4876i | 0.183941 | + | 0.402775i | ||||
\(679\) | −4.88673 | − | 10.7004i | −0.187535 | − | 0.410645i | ||||
\(680\) | 1.00864 | + | 7.01526i | 0.0386797 | + | 0.269023i | ||||
\(681\) | 8.31316 | + | 5.34255i | 0.318561 | + | 0.204727i | ||||
\(682\) | −10.7798 | + | 3.16523i | −0.412779 | + | 0.121203i | ||||
\(683\) | −4.10894 | + | 28.5783i | −0.157224 | + | 1.09352i | 0.746494 | + | 0.665392i | \(0.231736\pi\) |
−0.903719 | + | 0.428127i | \(0.859174\pi\) | |||||||
\(684\) | 1.17198 | − | 1.35254i | 0.0448119 | − | 0.0517157i | ||||
\(685\) | −13.6991 | + | 8.80389i | −0.523417 | + | 0.336379i | ||||
\(686\) | 0.654861 | + | 0.755750i | 0.0250027 | + | 0.0288547i | ||||
\(687\) | −9.74145 | − | 2.86035i | −0.371659 | − | 0.109129i | ||||
\(688\) | −4.16082 | + | 9.11091i | −0.158630 | + | 0.347350i | ||||
\(689\) | 0.0734523 | 0.00279831 | ||||||||
\(690\) | −2.34374 | − | 11.5447i | −0.0892246 | − | 0.439498i | ||||
\(691\) | −0.697433 | −0.0265316 | −0.0132658 | − | 0.999912i | \(-0.504223\pi\) | ||||
−0.0132658 | + | 0.999912i | \(0.504223\pi\) | |||||||
\(692\) | −3.14583 | + | 6.88841i | −0.119587 | + | 0.261858i | ||||
\(693\) | −1.28207 | − | 0.376449i | −0.0487018 | − | 0.0143001i | ||||
\(694\) | −15.1830 | − | 17.5221i | −0.576339 | − | 0.665130i | ||||
\(695\) | −17.1550 | + | 11.0248i | −0.650725 | + | 0.418196i | ||||
\(696\) | −1.94443 | + | 2.24399i | −0.0737033 | + | 0.0850581i | ||||
\(697\) | 1.96754 | − | 13.6845i | 0.0745259 | − | 0.518339i | ||||
\(698\) | 15.0427 | − | 4.41694i | 0.569375 | − | 0.167184i | ||||
\(699\) | 6.08706 | + | 3.91192i | 0.230234 | + | 0.147962i | ||||
\(700\) | −0.147093 | − | 1.02305i | −0.00555959 | − | 0.0386678i | ||||
\(701\) | 8.61883 | + | 18.8726i | 0.325529 | + | 0.712808i | 0.999667 | − | 0.0257965i | \(-0.00821220\pi\) |
−0.674139 | + | 0.738605i | \(0.735485\pi\) | |||||||
\(702\) | 0.0298755 | + | 0.0654181i | 0.00112758 | + | 0.00246905i | ||||
\(703\) | −2.20202 | − | 15.3154i | −0.0830507 | − | 0.577630i | ||||
\(704\) | 1.12408 | + | 0.722401i | 0.0423653 | + | 0.0272265i | ||||
\(705\) | −28.4206 | + | 8.34505i | −1.07038 | + | 0.314293i | ||||
\(706\) | 4.52827 | − | 31.4948i | 0.170424 | − | 1.18532i | ||||
\(707\) | −6.12755 | + | 7.07157i | −0.230450 | + | 0.265954i | ||||
\(708\) | −10.9234 | + | 7.02007i | −0.410528 | + | 0.263830i | ||||
\(709\) | 5.46890 | + | 6.31145i | 0.205389 | + | 0.237031i | 0.849093 | − | 0.528243i | \(-0.177149\pi\) |
−0.643705 | + | 0.765274i | \(0.722603\pi\) | |||||||
\(710\) | −24.3453 | − | 7.14842i | −0.913662 | − | 0.268275i | ||||
\(711\) | 2.18309 | − | 4.78030i | 0.0818723 | − | 0.179275i | ||||
\(712\) | 8.09491 | 0.303369 | ||||||||
\(713\) | 32.6138 | − | 23.7140i | 1.22140 | − | 0.888095i | ||||
\(714\) | −2.88536 | −0.107982 | ||||||||
\(715\) | −0.0980554 | + | 0.214711i | −0.00366706 | + | 0.00802975i | ||||
\(716\) | −1.55067 | − | 0.455319i | −0.0579514 | − | 0.0170161i | ||||
\(717\) | 15.0480 | + | 17.3663i | 0.561977 | + | 0.648556i | ||||
\(718\) | −1.91245 | + | 1.22905i | −0.0713718 | + | 0.0458679i | ||||
\(719\) | 16.2764 | − | 18.7839i | 0.607006 | − | 0.700523i | −0.366179 | − | 0.930544i | \(-0.619334\pi\) |
0.973185 | + | 0.230022i | \(0.0738797\pi\) | |||||||
\(720\) | −0.349573 | + | 2.43133i | −0.0130278 | + | 0.0906104i | ||||
\(721\) | 1.16206 | − | 0.341213i | 0.0432775 | − | 0.0127074i | ||||
\(722\) | 13.2894 | + | 8.54055i | 0.494579 | + | 0.317846i | ||||
\(723\) | −1.62754 | − | 11.3198i | −0.0605290 | − | 0.420988i | ||||
\(724\) | 9.93145 | + | 21.7468i | 0.369099 | + | 0.808215i | ||||
\(725\) | −1.27487 | − | 2.79158i | −0.0473475 | − | 0.103677i | ||||
\(726\) | −1.31137 | − | 9.12079i | −0.0486696 | − | 0.338504i | ||||
\(727\) | −18.4561 | − | 11.8610i | −0.684500 | − | 0.439901i | 0.151627 | − | 0.988438i | \(-0.451549\pi\) |
−0.836127 | + | 0.548537i | \(0.815185\pi\) | |||||||
\(728\) | −0.0690040 | + | 0.0202614i | −0.00255746 | + | 0.000750937i | ||||
\(729\) | −0.142315 | + | 0.989821i | −0.00527092 | + | 0.0366601i | ||||
\(730\) | 16.6055 | − | 19.1638i | 0.614599 | − | 0.709285i | ||||
\(731\) | −24.3121 | + | 15.6245i | −0.899217 | + | 0.577891i | ||||
\(732\) | 9.14363 | + | 10.5523i | 0.337958 | + | 0.390025i | ||||
\(733\) | −21.2402 | − | 6.23668i | −0.784524 | − | 0.230357i | −0.135149 | − | 0.990825i | \(-0.543151\pi\) |
−0.649375 | + | 0.760468i | \(0.724969\pi\) | |||||||
\(734\) | 6.88362 | − | 15.0730i | 0.254079 | − | 0.556356i | ||||
\(735\) | 2.45633 | 0.0906032 | ||||||||
\(736\) | −4.67160 | − | 1.08450i | −0.172198 | − | 0.0399750i | ||||
\(737\) | 2.72848 | 0.100505 | ||||||||
\(738\) | 1.99047 | − | 4.35852i | 0.0732702 | − | 0.160439i | ||||
\(739\) | −19.6563 | − | 5.77161i | −0.723069 | − | 0.212312i | −0.100567 | − | 0.994930i | \(-0.532066\pi\) |
−0.622502 | + | 0.782618i | \(0.713884\pi\) | |||||||
\(740\) | 13.9070 | + | 16.0496i | 0.511233 | + | 0.589995i | ||||
\(741\) | 0.108276 | − | 0.0695846i | 0.00397761 | − | 0.00255626i | ||||
\(742\) | −0.668840 | + | 0.771882i | −0.0245539 | + | 0.0283367i | ||||
\(743\) | 6.24847 | − | 43.4590i | 0.229234 | − | 1.59436i | −0.472113 | − | 0.881538i | \(-0.656509\pi\) |
0.701347 | − | 0.712820i | \(-0.252582\pi\) | |||||||
\(744\) | −8.06752 | + | 2.36884i | −0.295770 | + | 0.0868458i | ||||
\(745\) | −19.0015 | − | 12.2115i | −0.696162 | − | 0.447396i | ||||
\(746\) | 2.40320 | + | 16.7146i | 0.0879873 | + | 0.611965i | ||||
\(747\) | 3.79152 | + | 8.30227i | 0.138724 | + | 0.303764i | ||||
\(748\) | 1.60159 | + | 3.50699i | 0.0585600 | + | 0.128228i | ||||
\(749\) | −0.786657 | − | 5.47132i | −0.0287438 | − | 0.199918i | ||||
\(750\) | 8.19622 | + | 5.26739i | 0.299284 | + | 0.192338i | ||||
\(751\) | −5.17151 | + | 1.51849i | −0.188711 | + | 0.0554105i | −0.374722 | − | 0.927137i | \(-0.622262\pi\) |
0.186011 | + | 0.982548i | \(0.440444\pi\) | |||||||
\(752\) | −1.71615 | + | 11.9361i | −0.0625815 | + | 0.435264i | ||||
\(753\) | 13.6374 | − | 15.7384i | 0.496974 | − | 0.573539i | ||||
\(754\) | −0.179639 | + | 0.115447i | −0.00654208 | + | 0.00420434i | ||||
\(755\) | 19.7427 | + | 22.7843i | 0.718511 | + | 0.829206i | ||||
\(756\) | −0.959493 | − | 0.281733i | −0.0348964 | − | 0.0102465i | ||||
\(757\) | 17.7306 | − | 38.8245i | 0.644428 | − | 1.41110i | −0.251919 | − | 0.967748i | \(-0.581062\pi\) |
0.896347 | − | 0.443353i | \(-0.146211\pi\) | |||||||
\(758\) | −11.1803 | −0.406086 | ||||||||
\(759\) | −2.99260 | − | 5.66647i | −0.108624 | − | 0.205680i | ||||
\(760\) | 4.39602 | 0.159460 | ||||||||
\(761\) | 13.3391 | − | 29.2086i | 0.483542 | − | 1.05881i | −0.497932 | − | 0.867216i | \(-0.665907\pi\) |
0.981474 | − | 0.191594i | \(-0.0613656\pi\) | |||||||
\(762\) | −9.01450 | − | 2.64690i | −0.326561 | − | 0.0958869i | ||||
\(763\) | 10.6387 | + | 12.2777i | 0.385146 | + | 0.444482i | ||||
\(764\) | −0.586824 | + | 0.377129i | −0.0212306 | + | 0.0136441i | ||||
\(765\) | −4.64126 | + | 5.35630i | −0.167805 | + | 0.193658i | ||||
\(766\) | 3.18380 | − | 22.1438i | 0.115035 | − | 0.800088i | ||||
\(767\) | −0.895998 | + | 0.263089i | −0.0323526 | + | 0.00949958i | ||||
\(768\) | 0.841254 | + | 0.540641i | 0.0303561 | + | 0.0195087i | ||||
\(769\) | −0.328262 | − | 2.28311i | −0.0118374 | − | 0.0823311i | 0.983046 | − | 0.183357i | \(-0.0586965\pi\) |
−0.994884 | + | 0.101026i | \(0.967787\pi\) | |||||||
\(770\) | −1.36345 | − | 2.98554i | −0.0491353 | − | 0.107591i | ||||
\(771\) | −0.605965 | − | 1.32688i | −0.0218233 | − | 0.0477864i | ||||
\(772\) | 0.957027 | + | 6.65627i | 0.0344442 | + | 0.239564i | ||||
\(773\) | −39.9131 | − | 25.6506i | −1.43557 | − | 0.922588i | −0.999746 | − | 0.0225581i | \(-0.992819\pi\) |
−0.435829 | − | 0.900030i | \(-0.643545\pi\) | |||||||
\(774\) | −9.61032 | + | 2.82185i | −0.345436 | + | 0.101429i | ||||
\(775\) | 1.23677 | − | 8.60194i | 0.0444262 | − | 0.308991i | ||||
\(776\) | −7.70344 | + | 8.89025i | −0.276538 | + | 0.319141i | ||||
\(777\) | −7.27320 | + | 4.67420i | −0.260925 | + | 0.167686i | ||||
\(778\) | 3.85802 | + | 4.45239i | 0.138317 | + | 0.159626i | ||||
\(779\) | −8.22787 | − | 2.41592i | −0.294794 | − | 0.0865594i | ||||
\(780\) | −0.0733841 | + | 0.160689i | −0.00262757 | + | 0.00575358i | ||||
\(781\) | −13.8024 | −0.493889 | ||||||||
\(782\) | −9.64771 | − | 9.91985i | −0.345002 | − | 0.354733i | ||||
\(783\) | −2.96922 | −0.106111 | ||||||||
\(784\) | 0.415415 | − | 0.909632i | 0.0148363 | − | 0.0324869i | ||||
\(785\) | −5.06637 | − | 1.48762i | −0.180826 | − | 0.0530954i | ||||
\(786\) | 2.57150 | + | 2.96767i | 0.0917225 | + | 0.105853i | ||||
\(787\) | −12.2360 | + | 7.86361i | −0.436167 | + | 0.280307i | −0.740242 | − | 0.672341i | \(-0.765289\pi\) |
0.304075 | + | 0.952648i | \(0.401653\pi\) | |||||||
\(788\) | −7.44422 | + | 8.59109i | −0.265189 | + | 0.306045i | ||||
\(789\) | −2.77855 | + | 19.3252i | −0.0989189 | + | 0.687996i | ||||
\(790\) | 12.3856 | − | 3.63675i | 0.440661 | − | 0.129390i | ||||
\(791\) | −9.69925 | − | 6.23333i | −0.344866 | − | 0.221632i | ||||
\(792\) | 0.190160 | + | 1.32259i | 0.00675705 | + | 0.0469963i | ||||
\(793\) | 0.417142 | + | 0.913414i | 0.0148132 | + | 0.0324363i | ||||
\(794\) | −8.09021 | − | 17.7151i | −0.287111 | − | 0.628685i | ||||
\(795\) | 0.357035 | + | 2.48323i | 0.0126627 | + | 0.0880712i | ||||
\(796\) | −1.42482 | − | 0.915676i | −0.0505014 | − | 0.0324553i | ||||
\(797\) | −38.6117 | + | 11.3374i | −1.36770 | + | 0.401592i | −0.881469 | − | 0.472241i | \(-0.843445\pi\) |
−0.486226 | + | 0.873833i | \(0.661627\pi\) | |||||||
\(798\) | −0.254696 | + | 1.77145i | −0.00901615 | + | 0.0627087i | ||||
\(799\) | −22.7852 | + | 26.2955i | −0.806083 | + | 0.930269i | ||||
\(800\) | −0.869497 | + | 0.558792i | −0.0307414 | + | 0.0197563i | ||||
\(801\) | 5.30104 | + | 6.11772i | 0.187303 | + | 0.216159i | ||||
\(802\) | 3.71497 | + | 1.09081i | 0.131180 | + | 0.0385179i | ||||
\(803\) | 5.73019 | − | 12.5474i | 0.202214 | − | 0.442787i | ||||
\(804\) | 2.04198 | 0.0720151 | ||||||||
\(805\) | 8.21319 | + | 8.44486i | 0.289477 | + | 0.297642i | ||||
\(806\) | −0.604687 | −0.0212992 | ||||||||
\(807\) | 6.80559 | − | 14.9022i | 0.239568 | − | 0.524581i | ||||
\(808\) | 8.97800 | + | 2.63618i | 0.315845 | + | 0.0927404i | ||||
\(809\) | −27.8408 | − | 32.1300i | −0.978830 | − | 1.12963i | −0.991552 | − | 0.129711i | \(-0.958595\pi\) |
0.0127214 | − | 0.999919i | \(-0.495951\pi\) | |||||||
\(810\) | −2.06640 | + | 1.32799i | −0.0726059 | + | 0.0466610i | ||||
\(811\) | 28.1414 | − | 32.4769i | 0.988177 | − | 1.14042i | −0.00191544 | − | 0.999998i | \(-0.500610\pi\) |
0.990092 | − | 0.140419i | \(-0.0448448\pi\) | |||||||
\(812\) | 0.422564 | − | 2.93900i | 0.0148291 | − | 0.103139i | ||||
\(813\) | 28.8598 | − | 8.47399i | 1.01216 | − | 0.297196i | ||||
\(814\) | 9.71841 | + | 6.24564i | 0.340630 | + | 0.218910i | ||||
\(815\) | −3.23280 | − | 22.4846i | −0.113240 | − | 0.787601i | ||||
\(816\) | 1.19862 | + | 2.62461i | 0.0419601 | + | 0.0918799i | ||||
\(817\) | 7.44647 | + | 16.3055i | 0.260519 | + | 0.570457i | ||||
\(818\) | −1.04153 | − | 7.24397i | −0.0364161 | − | 0.253280i | ||||
\(819\) | −0.0605005 | − | 0.0388813i | −0.00211406 | − | 0.00135862i | ||||
\(820\) | 11.2928 | − | 3.31587i | 0.394363 | − | 0.115795i | ||||
\(821\) | −0.638145 | + | 4.43840i | −0.0222714 | + | 0.154901i | −0.997922 | − | 0.0644279i | \(-0.979478\pi\) |
0.975651 | + | 0.219329i | \(0.0703868\pi\) | |||||||
\(822\) | −4.34138 | + | 5.01022i | −0.151423 | + | 0.174751i | ||||
\(823\) | −20.4162 | + | 13.1207i | −0.711664 | + | 0.457359i | −0.845728 | − | 0.533614i | \(-0.820833\pi\) |
0.134064 | + | 0.990973i | \(0.457197\pi\) | |||||||
\(824\) | −0.793117 | − | 0.915305i | −0.0276295 | − | 0.0318862i | ||||
\(825\) | −1.32511 | − | 0.389088i | −0.0461345 | − | 0.0135463i | ||||
\(826\) | 5.39405 | − | 11.8113i | 0.187683 | − | 0.410968i | ||||
\(827\) | 26.6919 | 0.928167 | 0.464083 | − | 0.885792i | \(-0.346384\pi\) | ||||
0.464083 | + | 0.885792i | \(0.346384\pi\) | |||||||
\(828\) | −2.23964 | − | 4.24076i | −0.0778329 | − | 0.147376i | ||||
\(829\) | −10.0282 | −0.348295 | −0.174147 | − | 0.984720i | \(-0.555717\pi\) | ||||
−0.174147 | + | 0.984720i | \(0.555717\pi\) | |||||||
\(830\) | −9.31324 | + | 20.3931i | −0.323267 | + | 0.707856i | ||||
\(831\) | −5.91668 | − | 1.73729i | −0.205247 | − | 0.0602660i | ||||
\(832\) | 0.0470957 | + | 0.0543513i | 0.00163275 | + | 0.00188429i | ||||
\(833\) | 2.42732 | − | 1.55994i | 0.0841016 | − | 0.0540488i | ||||
\(834\) | −5.43657 | + | 6.27413i | −0.188253 | + | 0.217255i | ||||
\(835\) | 3.40628 | − | 23.6912i | 0.117879 | − | 0.819867i | ||||
\(836\) | 2.29448 | − | 0.673719i | 0.0793561 | − | 0.0233011i | ||||
\(837\) | −7.07335 | − | 4.54577i | −0.244491 | − | 0.157125i | ||||
\(838\) | −1.99911 | − | 13.9041i | −0.0690582 | − | 0.480310i | ||||
\(839\) | 9.62546 | + | 21.0768i | 0.332308 | + | 0.727652i | 0.999857 | − | 0.0169133i | \(-0.00538393\pi\) |
−0.667549 | + | 0.744566i | \(0.732657\pi\) | |||||||
\(840\) | −1.02040 | − | 2.23436i | −0.0352071 | − | 0.0770927i | ||||
\(841\) | 2.87244 | + | 19.9783i | 0.0990498 | + | 0.688907i | ||||
\(842\) | −4.47210 | − | 2.87404i | −0.154119 | − | 0.0990461i | ||||
\(843\) | 1.10100 | − | 0.323282i | 0.0379204 | − | 0.0111344i | ||||
\(844\) | −2.15826 | + | 15.0110i | −0.0742903 | + | 0.516701i | ||||
\(845\) | 20.9029 | − | 24.1232i | 0.719082 | − | 0.829865i | ||||
\(846\) | −10.1445 | + | 6.51948i | −0.348776 | + | 0.224144i | ||||
\(847\) | 6.03427 | + | 6.96392i | 0.207340 | + | 0.239283i | ||||
\(848\) | 0.979975 | + | 0.287747i | 0.0336525 | + | 0.00988126i | ||||
\(849\) | −7.21790 | + | 15.8050i | −0.247718 | + | 0.542426i | ||||
\(850\) | −2.98223 | −0.102290 | ||||||||
\(851\) | −40.3891 | − | 9.37619i | −1.38452 | − | 0.321412i | ||||
\(852\) | −10.3296 | −0.353888 | ||||||||
\(853\) | −7.99976 | + | 17.5170i | −0.273907 | + | 0.599772i | −0.995731 | − | 0.0923047i | \(-0.970577\pi\) |
0.721824 | + | 0.692076i | \(0.243304\pi\) | |||||||
\(854\) | −13.3971 | − | 3.93375i | −0.458440 | − | 0.134610i | ||||
\(855\) | 2.87878 | + | 3.32229i | 0.0984522 | + | 0.113620i | ||||
\(856\) | −4.65010 | + | 2.98844i | −0.158937 | + | 0.102143i | ||||
\(857\) | −7.46109 | + | 8.61056i | −0.254866 | + | 0.294131i | −0.868735 | − | 0.495277i | \(-0.835067\pi\) |
0.613869 | + | 0.789408i | \(0.289612\pi\) | |||||||
\(858\) | −0.0136758 | + | 0.0951171i | −0.000466883 | + | 0.00324725i | ||||
\(859\) | −5.02668 | + | 1.47597i | −0.171508 | + | 0.0503593i | −0.366359 | − | 0.930474i | \(-0.619396\pi\) |
0.194851 | + | 0.980833i | \(0.437578\pi\) | |||||||
\(860\) | −20.6971 | − | 13.3012i | −0.705767 | − | 0.453569i | ||||
\(861\) | 0.681905 | + | 4.74275i | 0.0232393 | + | 0.161633i | ||||
\(862\) | 7.47203 | + | 16.3615i | 0.254498 | + | 0.557274i | ||||
\(863\) | 1.66917 | + | 3.65497i | 0.0568191 | + | 0.124417i | 0.935912 | − | 0.352234i | \(-0.114578\pi\) |
−0.879093 | + | 0.476651i | \(0.841851\pi\) | |||||||
\(864\) | 0.142315 | + | 0.989821i | 0.00484165 | + | 0.0336744i | ||||
\(865\) | −15.6483 | − | 10.0566i | −0.532059 | − | 0.341933i | ||||
\(866\) | −21.6760 | + | 6.36464i | −0.736580 | + | 0.216279i | ||||
\(867\) | 1.23454 | − | 8.58641i | 0.0419271 | − | 0.291610i | ||||
\(868\) | 5.50614 | − | 6.35442i | 0.186891 | − | 0.215683i | ||||
\(869\) | 5.90726 | − | 3.79636i | 0.200390 | − | 0.128783i | ||||
\(870\) | −4.77616 | − | 5.51198i | −0.161927 | − | 0.186874i | ||||
\(871\) | 0.140905 | + | 0.0413734i | 0.00477437 | + | 0.00140188i | ||||
\(872\) | 6.74872 | − | 14.7776i | 0.228540 | − | 0.500434i | ||||
\(873\) | −11.7635 | −0.398134 | ||||||||
\(874\) | −6.94186 | + | 5.04752i | −0.234812 | + | 0.170735i | ||||
\(875\) | −9.74287 | −0.329369 | ||||||||
\(876\) | 4.28844 | − | 9.39037i | 0.144893 | − | 0.317271i | ||||
\(877\) | 16.7651 | + | 4.92267i | 0.566116 | + | 0.166227i | 0.552252 | − | 0.833677i | \(-0.313769\pi\) |
0.0138640 | + | 0.999904i | \(0.495587\pi\) | |||||||
\(878\) | 16.4440 | + | 18.9774i | 0.554959 | + | 0.640457i | ||||
\(879\) | −1.92096 | + | 1.23452i | −0.0647922 | + | 0.0416394i | ||||
\(880\) | −2.14934 | + | 2.48047i | −0.0724544 | + | 0.0836168i | ||||
\(881\) | 1.01419 | − | 7.05382i | 0.0341688 | − | 0.237649i | −0.965579 | − | 0.260110i | \(-0.916241\pi\) |
0.999748 | + | 0.0224611i | \(0.00715018\pi\) | |||||||
\(882\) | 0.959493 | − | 0.281733i | 0.0323078 | − | 0.00948643i | ||||
\(883\) | −33.3556 | − | 21.4364i | −1.12251 | − | 0.721391i | −0.158523 | − | 0.987355i | \(-0.550673\pi\) |
−0.963983 | + | 0.265964i | \(0.914310\pi\) | |||||||
\(884\) | 0.0295313 | + | 0.205395i | 0.000993245 | + | 0.00690817i | ||||
\(885\) | −13.2496 | − | 29.0125i | −0.445380 | − | 0.975246i | ||||
\(886\) | 8.99992 | + | 19.7071i | 0.302358 | + | 0.662072i | ||||
\(887\) | −0.128992 | − | 0.897160i | −0.00433113 | − | 0.0301237i | 0.987541 | − | 0.157360i | \(-0.0502984\pi\) |
−0.991872 | + | 0.127237i | \(0.959389\pi\) | |||||||
\(888\) | 7.27320 | + | 4.67420i | 0.244073 | + | 0.156856i | ||||
\(889\) | 9.01450 | − | 2.64690i | 0.302337 | − | 0.0887741i | ||||
\(890\) | −2.82976 | + | 19.6814i | −0.0948537 | + | 0.659722i | ||||
\(891\) | −0.875021 | + | 1.00983i | −0.0293143 | + | 0.0338305i | ||||
\(892\) | 9.74961 | − | 6.26569i | 0.326441 | − | 0.209791i | ||||
\(893\) | 14.1327 | + | 16.3100i | 0.472933 | + | 0.545794i | ||||
\(894\) | −8.82299 | − | 2.59066i | −0.295085 | − | 0.0866448i | ||||
\(895\) | 1.64910 | − | 3.61103i | 0.0551234 | − | 0.120703i | ||||
\(896\) | −1.00000 | −0.0334077 | ||||||||
\(897\) | −0.0686206 | − | 0.338007i | −0.00229117 | − | 0.0112857i | ||||
\(898\) | 21.0370 | 0.702013 | ||||||||
\(899\) | 10.3711 | − | 22.7094i | 0.345894 | − | 0.757402i | ||||
\(900\) | −0.991706 | − | 0.291191i | −0.0330569 | − | 0.00970637i | ||||
\(901\) | 1.92984 | + | 2.22716i | 0.0642924 | + | 0.0741974i | ||||
\(902\) | 5.38605 | − | 3.46140i | 0.179336 | − | 0.115252i | ||||
\(903\) | 6.55911 | − | 7.56962i | 0.218274 | − | 0.251901i | ||||
\(904\) | −1.64082 | + | 11.4122i | −0.0545729 | + | 0.379563i | ||||
\(905\) | −56.3455 | + | 16.5445i | −1.87299 | + | 0.549959i | ||||
\(906\) | 10.3252 | + | 6.63559i | 0.343031 | + | 0.220453i | ||||
\(907\) | 2.76823 | + | 19.2534i | 0.0919175 | + | 0.639300i | 0.982746 | + | 0.184960i | \(0.0592157\pi\) |
−0.890829 | + | 0.454340i | \(0.849875\pi\) | |||||||
\(908\) | 4.10508 | + | 8.98887i | 0.136232 | + | 0.298306i | ||||
\(909\) | 3.88705 | + | 8.51145i | 0.128925 | + | 0.282307i | ||||
\(910\) | −0.0251403 | − | 0.174854i | −0.000833392 | − | 0.00579637i | ||||
\(911\) | 11.4144 | + | 7.33557i | 0.378175 | + | 0.243038i | 0.715894 | − | 0.698209i | \(-0.246019\pi\) |
−0.337720 | + | 0.941247i | \(0.609656\pi\) | |||||||
\(912\) | 1.71717 | − | 0.504207i | 0.0568613 | − | 0.0166960i | ||||
\(913\) | −1.73561 | + | 12.0714i | −0.0574401 | + | 0.399505i | ||||
\(914\) | 4.57569 | − | 5.28063i | 0.151351 | − | 0.174668i | ||||
\(915\) | −28.8525 | + | 18.5424i | −0.953835 | + | 0.612992i | ||||
\(916\) | −6.64861 | − | 7.67290i | −0.219676 | − | 0.253520i | ||||
\(917\) | −3.76773 | − | 1.10631i | −0.124422 | − | 0.0365335i | ||||
\(918\) | −1.19862 | + | 2.62461i | −0.0395604 | + | 0.0866252i | ||||
\(919\) | 43.9635 | 1.45022 | 0.725110 | − | 0.688633i | \(-0.241789\pi\) | ||||
0.725110 | + | 0.688633i | \(0.241789\pi\) | |||||||
\(920\) | 4.26983 | − | 10.9791i | 0.140772 | − | 0.361970i | ||||
\(921\) | 10.9220 | 0.359893 | ||||||||
\(922\) | −6.59951 | + | 14.4509i | −0.217343 | + | 0.475915i | ||||
\(923\) | −0.712787 | − | 0.209293i | −0.0234617 | − | 0.00688896i | ||||
\(924\) | −0.875021 | − | 1.00983i | −0.0287861 | − | 0.0332209i | ||||
\(925\) | −7.51739 | + | 4.83113i | −0.247170 | + | 0.158847i | ||||
\(926\) | 15.4863 | − | 17.8721i | 0.508911 | − | 0.587315i | ||||
\(927\) | 0.172361 | − | 1.19880i | 0.00566107 | − | 0.0393736i | ||||
\(928\) | −2.84895 | + | 0.836526i | −0.0935212 | + | 0.0274603i | ||||
\(929\) | 0.709841 | + | 0.456187i | 0.0232891 | + | 0.0149670i | 0.552234 | − | 0.833689i | \(-0.313776\pi\) |
−0.528944 | + | 0.848656i | \(0.677412\pi\) | |||||||
\(930\) | −2.93924 | − | 20.4429i | −0.0963816 | − | 0.670349i | ||||
\(931\) | −0.743455 | − | 1.62794i | −0.0243657 | − | 0.0533535i | ||||
\(932\) | 3.00582 | + | 6.58183i | 0.0984589 | + | 0.215595i | ||||
\(933\) | 0.0182855 | + | 0.127178i | 0.000598640 | + | 0.00416363i | ||||
\(934\) | −34.8996 | − | 22.4286i | −1.14195 | − | 0.733887i | ||||
\(935\) | −9.08654 | + | 2.66805i | −0.297162 | + | 0.0872545i | ||||
\(936\) | −0.0102349 | + | 0.0711851i | −0.000334537 | + | 0.00232676i | ||||
\(937\) | −0.991379 | + | 1.14411i | −0.0323870 | + | 0.0373765i | −0.771712 | − | 0.635972i | \(-0.780599\pi\) |
0.739325 | + | 0.673349i | \(0.235145\pi\) | |||||||
\(938\) | −1.71782 | + | 1.10398i | −0.0560889 | + | 0.0360462i | ||||
\(939\) | −0.387941 | − | 0.447707i | −0.0126600 | − | 0.0146104i | ||||
\(940\) | −28.4206 | − | 8.34505i | −0.926978 | − | 0.272185i | ||||
\(941\) | −4.27194 | + | 9.35424i | −0.139261 | + | 0.304940i | −0.966393 | − | 0.257068i | \(-0.917244\pi\) |
0.827132 | + | 0.562008i | \(0.189971\pi\) | |||||||
\(942\) | −2.14965 | −0.0700394 | ||||||||
\(943\) | −14.0255 | + | 18.2026i | −0.456733 | + | 0.592759i | ||||
\(944\) | −12.9847 | −0.422617 | ||||||||
\(945\) | 1.02040 | − | 2.23436i | 0.0331935 | − | 0.0726837i | ||||
\(946\) | −12.8413 | − | 3.77053i | −0.417505 | − | 0.122591i | ||||
\(947\) | 24.2159 | + | 27.9467i | 0.786912 | + | 0.908145i | 0.997588 | − | 0.0694111i | \(-0.0221120\pi\) |
−0.210676 | + | 0.977556i | \(0.567567\pi\) | |||||||
\(948\) | 4.42096 | − | 2.84118i | 0.143586 | − | 0.0922771i | ||||
\(949\) | 0.486181 | − | 0.561083i | 0.0157821 | − | 0.0182135i | ||||
\(950\) | −0.263247 | + | 1.83092i | −0.00854087 | + | 0.0594030i | ||||
\(951\) | 8.18465 | − | 2.40323i | 0.265405 | − | 0.0779301i | ||||
\(952\) | −2.42732 | − | 1.55994i | −0.0786698 | − | 0.0505580i | ||||
\(953\) | −8.44273 | − | 58.7205i | −0.273487 | − | 1.90214i | −0.410986 | − | 0.911642i | \(-0.634815\pi\) |
0.137499 | − | 0.990502i | \(-0.456094\pi\) | |||||||
\(954\) | 0.424283 | + | 0.929050i | 0.0137367 | + | 0.0300791i | ||||
\(955\) | −0.711788 | − | 1.55860i | −0.0230329 | − | 0.0504351i | ||||
\(956\) | 3.27024 | + | 22.7450i | 0.105767 | + | 0.735626i | ||||
\(957\) | −3.33764 | − | 2.14497i | −0.107890 | − | 0.0693370i | ||||
\(958\) | 0.0970665 | − | 0.0285013i | 0.00313607 | − | 0.000920835i | ||||
\(959\) | 0.943471 | − | 6.56199i | 0.0304663 | − | 0.211898i | ||||
\(960\) | −1.60856 | + | 1.85637i | −0.0519159 | + | 0.0599142i | ||||
\(961\) | 33.3946 | − | 21.4614i | 1.07725 | − | 0.692304i | ||||
\(962\) | 0.407174 | + | 0.469904i | 0.0131278 | + | 0.0151503i | ||||
\(963\) | −5.30368 | − | 1.55730i | −0.170909 | − | 0.0501833i | ||||
\(964\) | 4.75078 | − | 10.4028i | 0.153012 | − | 0.335050i | ||||
\(965\) | −16.5181 | −0.531738 | ||||||||
\(966\) | 4.17683 | + | 2.35671i | 0.134387 | + | 0.0758259i | ||||
\(967\) | 19.9606 | 0.641889 | 0.320945 | − | 0.947098i | \(-0.396000\pi\) | ||||
0.320945 | + | 0.947098i | \(0.396000\pi\) | |||||||
\(968\) | 3.82788 | − | 8.38188i | 0.123033 | − | 0.269404i | ||||
\(969\) | 4.95466 | + | 1.45482i | 0.159167 | + | 0.0467355i | ||||
\(970\) | −18.9222 | − | 21.8374i | −0.607556 | − | 0.701157i | ||||
\(971\) | −31.5559 | + | 20.2798i | −1.01268 | + | 0.650808i | −0.938085 | − | 0.346406i | \(-0.887402\pi\) |
−0.0745928 | + | 0.997214i | \(0.523766\pi\) | |||||||
\(972\) | −0.654861 | + | 0.755750i | −0.0210047 | + | 0.0242407i | ||||
\(973\) | 1.18148 | − | 8.21737i | 0.0378765 | − | 0.263437i | ||||
\(974\) | 39.6778 | − | 11.6505i | 1.27136 | − | 0.373305i | ||||
\(975\) | −0.0625317 | − | 0.0401867i | −0.00200262 | − | 0.00128700i | ||||
\(976\) | 1.98710 | + | 13.8206i | 0.0636055 | + | 0.442386i | ||||
\(977\) | 0.426743 | + | 0.934438i | 0.0136527 | + | 0.0298953i | 0.916336 | − | 0.400411i | \(-0.131133\pi\) |
−0.902683 | + | 0.430307i | \(0.858405\pi\) | |||||||
\(978\) | −3.84170 | − | 8.41214i | −0.122844 | − | 0.268991i | ||||
\(979\) | 1.53933 | + | 10.7063i | 0.0491972 | + | 0.342174i | ||||
\(980\) | 2.06640 | + | 1.32799i | 0.0660087 | + | 0.0424212i | ||||
\(981\) | 15.5877 | − | 4.57695i | 0.497675 | − | 0.146131i | ||||
\(982\) | −5.82801 | + | 40.5347i | −0.185979 | + | 1.29351i | ||||
\(983\) | −10.3362 | + | 11.9286i | −0.329674 | + | 0.380464i | −0.896253 | − | 0.443544i | \(-0.853721\pi\) |
0.566579 | + | 0.824007i | \(0.308267\pi\) | |||||||
\(984\) | 4.03089 | − | 2.59049i | 0.128500 | − | 0.0825819i | ||||
\(985\) | −18.2855 | − | 21.1026i | −0.582624 | − | 0.672384i | ||||
\(986\) | −8.22023 | − | 2.41368i | −0.261785 | − | 0.0768672i | ||||
\(987\) | 5.00941 | − | 10.9691i | 0.159451 | − | 0.349150i | ||||
\(988\) | 0.128708 | 0.00409474 | ||||||||
\(989\) | 47.9559 | − | 2.76018i | 1.52491 | − | 0.0877688i | ||||
\(990\) | −3.28214 | −0.104313 | ||||||||
\(991\) | −23.9001 | + | 52.3339i | −0.759211 | + | 1.66244i | −0.0101430 | + | 0.999949i | \(0.503229\pi\) |
−0.749068 | + | 0.662493i | \(0.769499\pi\) | |||||||
\(992\) | −8.06752 | − | 2.36884i | −0.256144 | − | 0.0752107i | ||||
\(993\) | −8.06142 | − | 9.30337i | −0.255821 | − | 0.295234i | ||||
\(994\) | 8.68985 | − | 5.58463i | 0.275625 | − | 0.177134i | ||||
\(995\) | 2.72439 | − | 3.14411i | 0.0863689 | − | 0.0996751i | ||||
\(996\) | −1.29892 | + | 9.03416i | −0.0411578 | + | 0.286258i | ||||
\(997\) | −29.9817 | + | 8.80341i | −0.949529 | + | 0.278807i | −0.719591 | − | 0.694399i | \(-0.755671\pi\) |
−0.229938 | + | 0.973205i | \(0.573852\pi\) | |||||||
\(998\) | −20.6615 | − | 13.2784i | −0.654029 | − | 0.420319i | ||||
\(999\) | 1.23041 | + | 8.55767i | 0.0389284 | + | 0.270753i |
(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 | 966.2.q.e.673.2 | yes | 20 | |
23.4 | even | 11 | inner | 966.2.q.e.211.2 | ✓ | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.q.e.211.2 | ✓ | 20 | 23.4 | even | 11 | inner | |
966.2.q.e.673.2 | yes | 20 | 1.1 | even | 1 | trivial |