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: | \( x^{20} - 6 x^{19} + 10 x^{18} - 14 x^{17} + 77 x^{16} + 12 x^{15} - 226 x^{14} - 793 x^{13} + \cdots + 1849 \) |
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 | 715.2 | ||
Root | \(-1.42457 + 0.418291i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 966.715 |
Dual form | 966.2.q.d.127.2 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.841254 | + | 0.540641i | 0.594856 | + | 0.382291i | ||||
\(3\) | 0.142315 | + | 0.989821i | 0.0821655 | + | 0.571474i | ||||
\(4\) | 0.415415 | + | 0.909632i | 0.207708 | + | 0.454816i | ||||
\(5\) | 3.26582 | + | 0.958931i | 1.46052 | + | 0.428847i | 0.913005 | − | 0.407949i | \(-0.133756\pi\) |
0.547515 | + | 0.836796i | \(0.315574\pi\) | |||||||
\(6\) | −0.415415 | + | 0.909632i | −0.169592 | + | 0.371356i | ||||
\(7\) | −0.654861 | + | 0.755750i | −0.247514 | + | 0.285646i | ||||
\(8\) | −0.142315 | + | 0.989821i | −0.0503159 | + | 0.349955i | ||||
\(9\) | −0.959493 | + | 0.281733i | −0.319831 | + | 0.0939109i | ||||
\(10\) | 2.22895 | + | 2.57234i | 0.704854 | + | 0.813445i | ||||
\(11\) | 0.242354 | − | 0.155751i | 0.0730725 | − | 0.0469608i | −0.503594 | − | 0.863940i | \(-0.667989\pi\) |
0.576667 | + | 0.816979i | \(0.304353\pi\) | |||||||
\(12\) | −0.841254 | + | 0.540641i | −0.242849 | + | 0.156070i | ||||
\(13\) | 1.17217 | + | 1.35276i | 0.325102 | + | 0.375188i | 0.894648 | − | 0.446772i | \(-0.147426\pi\) |
−0.569546 | + | 0.821960i | \(0.692881\pi\) | |||||||
\(14\) | −0.959493 | + | 0.281733i | −0.256435 | + | 0.0752962i | ||||
\(15\) | −0.484396 | + | 3.36905i | −0.125071 | + | 0.869885i | ||||
\(16\) | −0.654861 | + | 0.755750i | −0.163715 | + | 0.188937i | ||||
\(17\) | 0.365891 | − | 0.801189i | 0.0887416 | − | 0.194317i | −0.860058 | − | 0.510197i | \(-0.829572\pi\) |
0.948799 | + | 0.315880i | \(0.102300\pi\) | |||||||
\(18\) | −0.959493 | − | 0.281733i | −0.226155 | − | 0.0664050i | ||||
\(19\) | 0.787107 | + | 1.72352i | 0.180575 | + | 0.395403i | 0.978175 | − | 0.207783i | \(-0.0666248\pi\) |
−0.797600 | + | 0.603186i | \(0.793898\pi\) | |||||||
\(20\) | 0.484396 | + | 3.36905i | 0.108314 | + | 0.753342i | ||||
\(21\) | −0.841254 | − | 0.540641i | −0.183577 | − | 0.117977i | ||||
\(22\) | 0.288087 | 0.0614203 | ||||||||
\(23\) | −3.13162 | − | 3.63221i | −0.652989 | − | 0.757368i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 5.53977 | + | 3.56019i | 1.10795 | + | 0.712038i | ||||
\(26\) | 0.254737 | + | 1.77174i | 0.0499581 | + | 0.347466i | ||||
\(27\) | −0.415415 | − | 0.909632i | −0.0799467 | − | 0.175059i | ||||
\(28\) | −0.959493 | − | 0.281733i | −0.181327 | − | 0.0532424i | ||||
\(29\) | −1.76841 | + | 3.87228i | −0.328386 | + | 0.719065i | −0.999757 | − | 0.0220569i | \(-0.992979\pi\) |
0.671371 | + | 0.741122i | \(0.265706\pi\) | |||||||
\(30\) | −2.22895 | + | 2.57234i | −0.406948 | + | 0.469643i | ||||
\(31\) | 0.596135 | − | 4.14621i | 0.107069 | − | 0.744682i | −0.863585 | − | 0.504203i | \(-0.831786\pi\) |
0.970654 | − | 0.240479i | \(-0.0773045\pi\) | |||||||
\(32\) | −0.959493 | + | 0.281733i | −0.169616 | + | 0.0498038i | ||||
\(33\) | 0.188657 | + | 0.217721i | 0.0328409 | + | 0.0379004i | ||||
\(34\) | 0.740962 | − | 0.476188i | 0.127074 | − | 0.0816655i | ||||
\(35\) | −2.86337 | + | 1.84018i | −0.483998 | + | 0.311046i | ||||
\(36\) | −0.654861 | − | 0.755750i | −0.109143 | − | 0.125958i | ||||
\(37\) | 2.02679 | − | 0.595120i | 0.333203 | − | 0.0978371i | −0.110852 | − | 0.993837i | \(-0.535358\pi\) |
0.444054 | + | 0.896000i | \(0.353540\pi\) | |||||||
\(38\) | −0.269651 | + | 1.87546i | −0.0437431 | + | 0.304240i | ||||
\(39\) | −1.17217 | + | 1.35276i | −0.187698 | + | 0.216615i | ||||
\(40\) | −1.41395 | + | 3.09611i | −0.223564 | + | 0.489538i | ||||
\(41\) | 3.99143 | + | 1.17199i | 0.623357 | + | 0.183034i | 0.578133 | − | 0.815943i | \(-0.303782\pi\) |
0.0452241 | + | 0.998977i | \(0.485600\pi\) | |||||||
\(42\) | −0.415415 | − | 0.909632i | −0.0640999 | − | 0.140359i | ||||
\(43\) | −0.801118 | − | 5.57190i | −0.122169 | − | 0.849706i | −0.955090 | − | 0.296314i | \(-0.904242\pi\) |
0.832921 | − | 0.553392i | \(-0.186667\pi\) | |||||||
\(44\) | 0.242354 | + | 0.155751i | 0.0365362 | + | 0.0234804i | ||||
\(45\) | −3.40369 | −0.507393 | ||||||||
\(46\) | −0.670770 | − | 4.74869i | −0.0988997 | − | 0.700156i | ||||
\(47\) | 2.61186 | 0.380979 | 0.190490 | − | 0.981689i | \(-0.438992\pi\) | ||||
0.190490 | + | 0.981689i | \(0.438992\pi\) | |||||||
\(48\) | −0.841254 | − | 0.540641i | −0.121424 | − | 0.0780348i | ||||
\(49\) | −0.142315 | − | 0.989821i | −0.0203307 | − | 0.141403i | ||||
\(50\) | 2.73556 | + | 5.99005i | 0.386867 | + | 0.847121i | ||||
\(51\) | 0.845106 | + | 0.248145i | 0.118338 | + | 0.0347473i | ||||
\(52\) | −0.743575 | + | 1.62820i | −0.103115 | + | 0.225791i | ||||
\(53\) | −0.982100 | + | 1.13340i | −0.134902 | + | 0.155685i | −0.819181 | − | 0.573535i | \(-0.805572\pi\) |
0.684279 | + | 0.729220i | \(0.260117\pi\) | |||||||
\(54\) | 0.142315 | − | 0.989821i | 0.0193666 | − | 0.134698i | ||||
\(55\) | 0.940839 | − | 0.276255i | 0.126863 | − | 0.0372503i | ||||
\(56\) | −0.654861 | − | 0.755750i | −0.0875094 | − | 0.100991i | ||||
\(57\) | −1.59396 | + | 1.02438i | −0.211126 | + | 0.135682i | ||||
\(58\) | −3.58120 | + | 2.30150i | −0.470234 | + | 0.302201i | ||||
\(59\) | −6.90623 | − | 7.97021i | −0.899114 | − | 1.03763i | −0.999090 | − | 0.0426432i | \(-0.986422\pi\) |
0.0999762 | − | 0.994990i | \(-0.468123\pi\) | |||||||
\(60\) | −3.26582 | + | 0.958931i | −0.421616 | + | 0.123798i | ||||
\(61\) | −1.02804 | + | 7.15019i | −0.131627 | + | 0.915488i | 0.811806 | + | 0.583927i | \(0.198485\pi\) |
−0.943434 | + | 0.331562i | \(0.892425\pi\) | |||||||
\(62\) | 2.74311 | − | 3.16572i | 0.348376 | − | 0.402047i | ||||
\(63\) | 0.415415 | − | 0.909632i | 0.0523374 | − | 0.114603i | ||||
\(64\) | −0.959493 | − | 0.281733i | −0.119937 | − | 0.0352166i | ||||
\(65\) | 2.53090 | + | 5.54190i | 0.313920 | + | 0.687388i | ||||
\(66\) | 0.0409990 | + | 0.285154i | 0.00504663 | + | 0.0351001i | ||||
\(67\) | −1.45752 | − | 0.936692i | −0.178064 | − | 0.114435i | 0.448572 | − | 0.893747i | \(-0.351933\pi\) |
−0.626637 | + | 0.779311i | \(0.715569\pi\) | |||||||
\(68\) | 0.880784 | 0.106811 | ||||||||
\(69\) | 3.14956 | − | 3.61667i | 0.379162 | − | 0.435395i | ||||
\(70\) | −3.40369 | −0.406819 | ||||||||
\(71\) | 1.64501 | + | 1.05718i | 0.195227 | + | 0.125465i | 0.634602 | − | 0.772839i | \(-0.281164\pi\) |
−0.439376 | + | 0.898303i | \(0.644800\pi\) | |||||||
\(72\) | −0.142315 | − | 0.989821i | −0.0167720 | − | 0.116652i | ||||
\(73\) | −3.39909 | − | 7.44297i | −0.397834 | − | 0.871134i | −0.997485 | − | 0.0708729i | \(-0.977422\pi\) |
0.599652 | − | 0.800261i | \(-0.295306\pi\) | |||||||
\(74\) | 2.02679 | + | 0.595120i | 0.235610 | + | 0.0691813i | ||||
\(75\) | −2.73556 | + | 5.99005i | −0.315876 | + | 0.691671i | ||||
\(76\) | −1.24080 | + | 1.43195i | −0.142329 | + | 0.164256i | ||||
\(77\) | −0.0409990 | + | 0.285154i | −0.00467227 | + | 0.0324964i | ||||
\(78\) | −1.71745 | + | 0.504289i | −0.194463 | + | 0.0570995i | ||||
\(79\) | −0.585965 | − | 0.676240i | −0.0659262 | − | 0.0760829i | 0.721828 | − | 0.692072i | \(-0.243302\pi\) |
−0.787755 | + | 0.615989i | \(0.788757\pi\) | |||||||
\(80\) | −2.86337 | + | 1.84018i | −0.320134 | + | 0.205738i | ||||
\(81\) | 0.841254 | − | 0.540641i | 0.0934726 | − | 0.0600712i | ||||
\(82\) | 2.72418 | + | 3.14387i | 0.300835 | + | 0.347182i | ||||
\(83\) | 3.12351 | − | 0.917145i | 0.342849 | − | 0.100670i | −0.105775 | − | 0.994390i | \(-0.533732\pi\) |
0.448624 | + | 0.893720i | \(0.351914\pi\) | |||||||
\(84\) | 0.142315 | − | 0.989821i | 0.0155278 | − | 0.107998i | ||||
\(85\) | 1.96322 | − | 2.26568i | 0.212941 | − | 0.245747i | ||||
\(86\) | 2.33845 | − | 5.12049i | 0.252162 | − | 0.552157i | ||||
\(87\) | −4.08454 | − | 1.19933i | −0.437909 | − | 0.128582i | ||||
\(88\) | 0.119676 | + | 0.262053i | 0.0127575 | + | 0.0279349i | ||||
\(89\) | −0.0869863 | − | 0.605003i | −0.00922053 | − | 0.0641302i | 0.984692 | − | 0.174305i | \(-0.0557679\pi\) |
−0.993912 | + | 0.110175i | \(0.964859\pi\) | |||||||
\(90\) | −2.86337 | − | 1.84018i | −0.301826 | − | 0.193972i | ||||
\(91\) | −1.78996 | −0.187638 | ||||||||
\(92\) | 2.00305 | − | 4.35750i | 0.208832 | − | 0.454301i | ||||
\(93\) | 4.18885 | 0.434363 | ||||||||
\(94\) | 2.19724 | + | 1.41208i | 0.226628 | + | 0.145645i | ||||
\(95\) | 0.917808 | + | 6.38350i | 0.0941652 | + | 0.654933i | ||||
\(96\) | −0.415415 | − | 0.909632i | −0.0423981 | − | 0.0928389i | ||||
\(97\) | 2.39358 | + | 0.702818i | 0.243031 | + | 0.0713604i | 0.400980 | − | 0.916087i | \(-0.368670\pi\) |
−0.157948 | + | 0.987447i | \(0.550488\pi\) | |||||||
\(98\) | 0.415415 | − | 0.909632i | 0.0419633 | − | 0.0918867i | ||||
\(99\) | −0.188657 | + | 0.217721i | −0.0189607 | + | 0.0218818i | ||||
\(100\) | −0.937162 | + | 6.51810i | −0.0937162 | + | 0.651810i | ||||
\(101\) | 4.74469 | − | 1.39317i | 0.472114 | − | 0.138625i | −0.0370162 | − | 0.999315i | \(-0.511785\pi\) |
0.509130 | + | 0.860689i | \(0.329967\pi\) | |||||||
\(102\) | 0.576791 | + | 0.665652i | 0.0571108 | + | 0.0659094i | ||||
\(103\) | −10.7655 | + | 6.91855i | −1.06075 | + | 0.681705i | −0.950034 | − | 0.312147i | \(-0.898952\pi\) |
−0.110720 | + | 0.993852i | \(0.535316\pi\) | |||||||
\(104\) | −1.50581 | + | 0.967724i | −0.147657 | + | 0.0948931i | ||||
\(105\) | −2.22895 | − | 2.57234i | −0.217523 | − | 0.251035i | ||||
\(106\) | −1.43896 | + | 0.422517i | −0.139764 | + | 0.0410384i | ||||
\(107\) | −0.460999 | + | 3.20632i | −0.0445665 | + | 0.309967i | 0.955329 | + | 0.295543i | \(0.0955005\pi\) |
−0.999896 | + | 0.0144239i | \(0.995409\pi\) | |||||||
\(108\) | 0.654861 | − | 0.755750i | 0.0630140 | − | 0.0727220i | ||||
\(109\) | 0.687584 | − | 1.50560i | 0.0658586 | − | 0.144210i | −0.873840 | − | 0.486213i | \(-0.838378\pi\) |
0.939699 | + | 0.342003i | \(0.111105\pi\) | |||||||
\(110\) | 0.940839 | + | 0.276255i | 0.0897055 | + | 0.0263399i | ||||
\(111\) | 0.877505 | + | 1.92147i | 0.0832891 | + | 0.182378i | ||||
\(112\) | −0.142315 | − | 0.989821i | −0.0134475 | − | 0.0935293i | ||||
\(113\) | 15.4740 | + | 9.94456i | 1.45567 | + | 0.935505i | 0.998946 | + | 0.0458994i | \(0.0146154\pi\) |
0.456729 | + | 0.889606i | \(0.349021\pi\) | |||||||
\(114\) | −1.89475 | −0.177459 | ||||||||
\(115\) | −6.74428 | − | 14.8651i | −0.628908 | − | 1.38618i | ||||
\(116\) | −4.25698 | −0.395250 | ||||||||
\(117\) | −1.50581 | − | 0.967724i | −0.139212 | − | 0.0894661i | ||||
\(118\) | −1.50087 | − | 10.4388i | −0.138166 | − | 0.960965i | ||||
\(119\) | 0.365891 | + | 0.801189i | 0.0335412 | + | 0.0734449i | ||||
\(120\) | −3.26582 | − | 0.958931i | −0.298127 | − | 0.0875381i | ||||
\(121\) | −4.53509 | + | 9.93046i | −0.412281 | + | 0.902769i | ||||
\(122\) | −4.73053 | + | 5.45932i | −0.428282 | + | 0.494264i | ||||
\(123\) | −0.592021 | + | 4.11760i | −0.0533807 | + | 0.371271i | ||||
\(124\) | 4.01917 | − | 1.18014i | 0.360932 | − | 0.105979i | ||||
\(125\) | 3.53317 | + | 4.07750i | 0.316017 | + | 0.364703i | ||||
\(126\) | 0.841254 | − | 0.540641i | 0.0749448 | − | 0.0481641i | ||||
\(127\) | 7.46636 | − | 4.79834i | 0.662532 | − | 0.425784i | −0.165694 | − | 0.986177i | \(-0.552986\pi\) |
0.828226 | + | 0.560394i | \(0.189350\pi\) | |||||||
\(128\) | −0.654861 | − | 0.755750i | −0.0578821 | − | 0.0667995i | ||||
\(129\) | 5.40117 | − | 1.58593i | 0.475547 | − | 0.139633i | ||||
\(130\) | −0.867048 | + | 6.03045i | −0.0760451 | + | 0.528906i | ||||
\(131\) | 8.40460 | − | 9.69943i | 0.734313 | − | 0.847443i | −0.258637 | − | 0.965975i | \(-0.583273\pi\) |
0.992950 | + | 0.118532i | \(0.0378187\pi\) | |||||||
\(132\) | −0.119676 | + | 0.262053i | −0.0104164 | + | 0.0228088i | ||||
\(133\) | −1.81800 | − | 0.533812i | −0.157640 | − | 0.0462874i | ||||
\(134\) | −0.719731 | − | 1.57599i | −0.0621753 | − | 0.136145i | ||||
\(135\) | −0.484396 | − | 3.36905i | −0.0416902 | − | 0.289962i | ||||
\(136\) | 0.740962 | + | 0.476188i | 0.0635370 | + | 0.0408328i | ||||
\(137\) | 10.3311 | 0.882649 | 0.441325 | − | 0.897348i | \(-0.354509\pi\) | ||||
0.441325 | + | 0.897348i | \(0.354509\pi\) | |||||||
\(138\) | 4.60490 | − | 1.33975i | 0.391995 | − | 0.114047i | ||||
\(139\) | −18.0845 | −1.53391 | −0.766953 | − | 0.641703i | \(-0.778228\pi\) | ||||
−0.766953 | + | 0.641703i | \(0.778228\pi\) | |||||||
\(140\) | −2.86337 | − | 1.84018i | −0.241999 | − | 0.155523i | ||||
\(141\) | 0.371707 | + | 2.58528i | 0.0313033 | + | 0.217719i | ||||
\(142\) | 0.812314 | + | 1.77872i | 0.0681679 | + | 0.149267i | ||||
\(143\) | 0.494775 | + | 0.145279i | 0.0413751 | + | 0.0121488i | ||||
\(144\) | 0.415415 | − | 0.909632i | 0.0346179 | − | 0.0758027i | ||||
\(145\) | −9.48857 | + | 10.9504i | −0.787983 | + | 0.909380i | ||||
\(146\) | 1.16448 | − | 8.09911i | 0.0963728 | − | 0.670287i | ||||
\(147\) | 0.959493 | − | 0.281733i | 0.0791376 | − | 0.0232369i | ||||
\(148\) | 1.38330 | + | 1.59641i | 0.113707 | + | 0.131224i | ||||
\(149\) | 12.5940 | − | 8.09369i | 1.03174 | − | 0.663061i | 0.0888113 | − | 0.996048i | \(-0.471693\pi\) |
0.942931 | + | 0.332988i | \(0.108057\pi\) | |||||||
\(150\) | −5.53977 | + | 3.56019i | −0.452320 | + | 0.290688i | ||||
\(151\) | −1.92982 | − | 2.22713i | −0.157046 | − | 0.181241i | 0.671774 | − | 0.740756i | \(-0.265533\pi\) |
−0.828820 | + | 0.559515i | \(0.810987\pi\) | |||||||
\(152\) | −1.81800 | + | 0.533812i | −0.147459 | + | 0.0432979i | ||||
\(153\) | −0.125349 | + | 0.871819i | −0.0101338 | + | 0.0704824i | ||||
\(154\) | −0.188657 | + | 0.217721i | −0.0152024 | + | 0.0175445i | ||||
\(155\) | 5.92281 | − | 12.9691i | 0.475731 | − | 1.04171i | ||||
\(156\) | −1.71745 | − | 0.504289i | −0.137506 | − | 0.0403754i | ||||
\(157\) | −7.82797 | − | 17.1409i | −0.624740 | − | 1.36799i | −0.912021 | − | 0.410144i | \(-0.865478\pi\) |
0.287280 | − | 0.957847i | \(-0.407249\pi\) | |||||||
\(158\) | −0.127342 | − | 0.885686i | −0.0101308 | − | 0.0704614i | ||||
\(159\) | −1.26163 | − | 0.810803i | −0.100054 | − | 0.0643009i | ||||
\(160\) | −3.40369 | −0.269086 | ||||||||
\(161\) | 4.79582 | + | 0.0118662i | 0.377963 | + | 0.000935189i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | 6.58637 | + | 4.23280i | 0.515884 | + | 0.331538i | 0.772542 | − | 0.634964i | \(-0.218985\pi\) |
−0.256658 | + | 0.966502i | \(0.582621\pi\) | |||||||
\(164\) | 0.592021 | + | 4.11760i | 0.0462291 | + | 0.321530i | ||||
\(165\) | 0.407339 | + | 0.891948i | 0.0317113 | + | 0.0694380i | ||||
\(166\) | 3.12351 | + | 0.917145i | 0.242431 | + | 0.0711842i | ||||
\(167\) | 1.19542 | − | 2.61761i | 0.0925044 | − | 0.202556i | −0.857724 | − | 0.514110i | \(-0.828122\pi\) |
0.950228 | + | 0.311554i | \(0.100849\pi\) | |||||||
\(168\) | 0.654861 | − | 0.755750i | 0.0505236 | − | 0.0583073i | ||||
\(169\) | 1.39412 | − | 9.69635i | 0.107240 | − | 0.745873i | ||||
\(170\) | 2.87648 | − | 0.844611i | 0.220616 | − | 0.0647787i | ||||
\(171\) | −1.24080 | − | 1.43195i | −0.0948860 | − | 0.109504i | ||||
\(172\) | 4.73558 | − | 3.04337i | 0.361084 | − | 0.232055i | ||||
\(173\) | 10.3553 | − | 6.65493i | 0.787297 | − | 0.505965i | −0.0841509 | − | 0.996453i | \(-0.526818\pi\) |
0.871448 | + | 0.490488i | \(0.163181\pi\) | |||||||
\(174\) | −2.78773 | − | 3.21721i | −0.211337 | − | 0.243896i | ||||
\(175\) | −6.31839 | + | 1.85525i | −0.477625 | + | 0.140243i | ||||
\(176\) | −0.0409990 | + | 0.285154i | −0.00309042 | + | 0.0214943i | ||||
\(177\) | 6.90623 | − | 7.97021i | 0.519104 | − | 0.599078i | ||||
\(178\) | 0.253912 | − | 0.555989i | 0.0190315 | − | 0.0416731i | ||||
\(179\) | 10.3008 | + | 3.02460i | 0.769921 | + | 0.226069i | 0.643023 | − | 0.765847i | \(-0.277680\pi\) |
0.126898 | + | 0.991916i | \(0.459498\pi\) | |||||||
\(180\) | −1.41395 | − | 3.09611i | −0.105389 | − | 0.230770i | ||||
\(181\) | −3.10918 | − | 21.6248i | −0.231104 | − | 1.60736i | −0.693344 | − | 0.720606i | \(-0.743864\pi\) |
0.462241 | − | 0.886754i | \(-0.347046\pi\) | |||||||
\(182\) | −1.50581 | − | 0.967724i | −0.111618 | − | 0.0717324i | ||||
\(183\) | −7.22372 | −0.533993 | ||||||||
\(184\) | 4.04091 | − | 2.58283i | 0.297900 | − | 0.190409i | ||||
\(185\) | 7.18982 | 0.528606 | ||||||||
\(186\) | 3.52388 | + | 2.26466i | 0.258384 | + | 0.166053i | ||||
\(187\) | −0.0361113 | − | 0.251159i | −0.00264072 | − | 0.0183666i | ||||
\(188\) | 1.08501 | + | 2.37583i | 0.0791322 | + | 0.173275i | ||||
\(189\) | 0.959493 | + | 0.281733i | 0.0697928 | + | 0.0204930i | ||||
\(190\) | −2.67907 | + | 5.86634i | −0.194360 | + | 0.425589i | ||||
\(191\) | −1.74904 | + | 2.01850i | −0.126556 | + | 0.146053i | −0.815491 | − | 0.578770i | \(-0.803533\pi\) |
0.688935 | + | 0.724823i | \(0.258079\pi\) | |||||||
\(192\) | 0.142315 | − | 0.989821i | 0.0102707 | − | 0.0714342i | ||||
\(193\) | 6.88928 | − | 2.02288i | 0.495902 | − | 0.145610i | −0.0242122 | − | 0.999707i | \(-0.507708\pi\) |
0.520114 | + | 0.854097i | \(0.325890\pi\) | |||||||
\(194\) | 1.63363 | + | 1.88532i | 0.117288 | + | 0.135358i | ||||
\(195\) | −5.12531 | + | 3.29383i | −0.367031 | + | 0.235876i | ||||
\(196\) | 0.841254 | − | 0.540641i | 0.0600895 | − | 0.0386172i | ||||
\(197\) | −6.59680 | − | 7.61311i | −0.470002 | − | 0.542412i | 0.470410 | − | 0.882448i | \(-0.344106\pi\) |
−0.940412 | + | 0.340036i | \(0.889561\pi\) | |||||||
\(198\) | −0.276417 | + | 0.0811634i | −0.0196441 | + | 0.00576803i | ||||
\(199\) | 1.94088 | − | 13.4991i | 0.137585 | − | 0.956927i | −0.797706 | − | 0.603047i | \(-0.793953\pi\) |
0.935291 | − | 0.353880i | \(-0.115138\pi\) | |||||||
\(200\) | −4.31234 | + | 4.97671i | −0.304929 | + | 0.351907i | ||||
\(201\) | 0.719731 | − | 1.57599i | 0.0507659 | − | 0.111162i | ||||
\(202\) | 4.74469 | + | 1.39317i | 0.333835 | + | 0.0980228i | ||||
\(203\) | −1.76841 | − | 3.87228i | −0.124118 | − | 0.271781i | ||||
\(204\) | 0.125349 | + | 0.871819i | 0.00877616 | + | 0.0610395i | ||||
\(205\) | 11.9114 | + | 7.65502i | 0.831931 | + | 0.534650i | ||||
\(206\) | −12.7969 | −0.891605 | ||||||||
\(207\) | 4.02808 | + | 2.60280i | 0.279971 | + | 0.180907i | ||||
\(208\) | −1.78996 | −0.124111 | ||||||||
\(209\) | 0.459200 | + | 0.295110i | 0.0317635 | + | 0.0204132i | ||||
\(210\) | −0.484396 | − | 3.36905i | −0.0334265 | − | 0.232486i | ||||
\(211\) | −7.05925 | − | 15.4576i | −0.485979 | − | 1.06414i | −0.980776 | − | 0.195136i | \(-0.937485\pi\) |
0.494798 | − | 0.869008i | \(-0.335242\pi\) | |||||||
\(212\) | −1.43896 | − | 0.422517i | −0.0988281 | − | 0.0290186i | ||||
\(213\) | −0.812314 | + | 1.77872i | −0.0556589 | + | 0.121876i | ||||
\(214\) | −2.12129 | + | 2.44809i | −0.145008 | + | 0.167348i | ||||
\(215\) | 2.72676 | − | 18.9650i | 0.185963 | − | 1.29340i | ||||
\(216\) | 0.959493 | − | 0.281733i | 0.0652852 | − | 0.0191695i | ||||
\(217\) | 2.74311 | + | 3.16572i | 0.186215 | + | 0.214903i | ||||
\(218\) | 1.39242 | − | 0.894855i | 0.0943067 | − | 0.0606072i | ||||
\(219\) | 6.88347 | − | 4.42374i | 0.465142 | − | 0.298929i | ||||
\(220\) | 0.642130 | + | 0.741057i | 0.0432924 | + | 0.0499621i | ||||
\(221\) | 1.51270 | − | 0.444170i | 0.101755 | − | 0.0298781i | ||||
\(222\) | −0.300620 | + | 2.09086i | −0.0201763 | + | 0.140329i | ||||
\(223\) | 10.7201 | − | 12.3717i | 0.717871 | − | 0.828468i | −0.273178 | − | 0.961963i | \(-0.588075\pi\) |
0.991049 | + | 0.133496i | \(0.0426203\pi\) | |||||||
\(224\) | 0.415415 | − | 0.909632i | 0.0277561 | − | 0.0607773i | ||||
\(225\) | −6.31839 | − | 1.85525i | −0.421226 | − | 0.123683i | ||||
\(226\) | 7.64115 | + | 16.7318i | 0.508282 | + | 1.11298i | ||||
\(227\) | −2.32643 | − | 16.1807i | −0.154411 | − | 1.07395i | −0.908713 | − | 0.417422i | \(-0.862934\pi\) |
0.754302 | − | 0.656527i | \(-0.227975\pi\) | |||||||
\(228\) | −1.59396 | − | 1.02438i | −0.105563 | − | 0.0678411i | ||||
\(229\) | −28.9402 | −1.91242 | −0.956210 | − | 0.292680i | \(-0.905453\pi\) | ||||
−0.956210 | + | 0.292680i | \(0.905453\pi\) | |||||||
\(230\) | 2.36305 | − | 16.1516i | 0.155815 | − | 1.06500i | ||||
\(231\) | −0.288087 | −0.0189547 | ||||||||
\(232\) | −3.58120 | − | 2.30150i | −0.235117 | − | 0.151101i | ||||
\(233\) | 2.35308 | + | 16.3661i | 0.154156 | + | 1.07218i | 0.909157 | + | 0.416453i | \(0.136727\pi\) |
−0.755002 | + | 0.655723i | \(0.772364\pi\) | |||||||
\(234\) | −0.743575 | − | 1.62820i | −0.0486090 | − | 0.106439i | ||||
\(235\) | 8.52987 | + | 2.50460i | 0.556427 | + | 0.163382i | ||||
\(236\) | 4.38101 | − | 9.59307i | 0.285179 | − | 0.624456i | ||||
\(237\) | 0.585965 | − | 0.676240i | 0.0380625 | − | 0.0439265i | ||||
\(238\) | −0.125349 | + | 0.871819i | −0.00812514 | + | 0.0565116i | ||||
\(239\) | −14.6327 | + | 4.29655i | −0.946511 | + | 0.277921i | −0.718333 | − | 0.695699i | \(-0.755095\pi\) |
−0.228177 | + | 0.973620i | \(0.573277\pi\) | |||||||
\(240\) | −2.22895 | − | 2.57234i | −0.143878 | − | 0.166044i | ||||
\(241\) | 5.67065 | − | 3.64431i | 0.365279 | − | 0.234750i | −0.345106 | − | 0.938564i | \(-0.612157\pi\) |
0.710385 | + | 0.703813i | \(0.248521\pi\) | |||||||
\(242\) | −9.18397 | + | 5.90218i | −0.590368 | + | 0.379406i | ||||
\(243\) | 0.654861 | + | 0.755750i | 0.0420093 | + | 0.0484814i | ||||
\(244\) | −6.93111 | + | 2.03516i | −0.443719 | + | 0.130288i | ||||
\(245\) | 0.484396 | − | 3.36905i | 0.0309469 | − | 0.215241i | ||||
\(246\) | −2.72418 | + | 3.14387i | −0.173687 | + | 0.200446i | ||||
\(247\) | −1.40889 | + | 3.08503i | −0.0896453 | + | 0.196296i | ||||
\(248\) | 4.01917 | + | 1.18014i | 0.255218 | + | 0.0749387i | ||||
\(249\) | 1.35233 | + | 2.96119i | 0.0857005 | + | 0.187658i | ||||
\(250\) | 0.767832 | + | 5.34039i | 0.0485619 | + | 0.337756i | ||||
\(251\) | 5.39280 | + | 3.46574i | 0.340391 | + | 0.218756i | 0.699656 | − | 0.714480i | \(-0.253336\pi\) |
−0.359266 | + | 0.933235i | \(0.616973\pi\) | |||||||
\(252\) | 1.00000 | 0.0629941 | ||||||||
\(253\) | −1.32468 | − | 0.392525i | −0.0832821 | − | 0.0246778i | ||||
\(254\) | 8.87528 | 0.556885 | ||||||||
\(255\) | 2.52201 | + | 1.62080i | 0.157934 | + | 0.101498i | ||||
\(256\) | −0.142315 | − | 0.989821i | −0.00889468 | − | 0.0618638i | ||||
\(257\) | 9.08539 | + | 19.8942i | 0.566731 | + | 1.24097i | 0.948520 | + | 0.316718i | \(0.102581\pi\) |
−0.381789 | + | 0.924250i | \(0.624692\pi\) | |||||||
\(258\) | 5.40117 | + | 1.58593i | 0.336262 | + | 0.0987355i | ||||
\(259\) | −0.877505 | + | 1.92147i | −0.0545255 | + | 0.119394i | ||||
\(260\) | −3.98972 | + | 4.60438i | −0.247432 | + | 0.285551i | ||||
\(261\) | 0.605831 | − | 4.21365i | 0.0375000 | − | 0.260818i | ||||
\(262\) | 12.3143 | − | 3.61581i | 0.760780 | − | 0.223385i | ||||
\(263\) | 16.0411 | + | 18.5124i | 0.989134 | + | 1.14152i | 0.989935 | + | 0.141522i | \(0.0451994\pi\) |
−0.000801430 | 1.00000i | \(0.500255\pi\) | ||||||||
\(264\) | −0.242354 | + | 0.155751i | −0.0149159 | + | 0.00958584i | ||||
\(265\) | −4.29422 | + | 2.75973i | −0.263792 | + | 0.169529i | ||||
\(266\) | −1.24080 | − | 1.43195i | −0.0760781 | − | 0.0877988i | ||||
\(267\) | 0.586465 | − | 0.172202i | 0.0358911 | − | 0.0105386i | ||||
\(268\) | 0.246569 | − | 1.71492i | 0.0150616 | − | 0.104756i | ||||
\(269\) | −12.0857 | + | 13.9476i | −0.736875 | + | 0.850399i | −0.993228 | − | 0.116184i | \(-0.962934\pi\) |
0.256353 | + | 0.966583i | \(0.417479\pi\) | |||||||
\(270\) | 1.41395 | − | 3.09611i | 0.0860500 | − | 0.188423i | ||||
\(271\) | 8.03674 | + | 2.35980i | 0.488197 | + | 0.143348i | 0.516562 | − | 0.856250i | \(-0.327212\pi\) |
−0.0283645 | + | 0.999598i | \(0.509030\pi\) | |||||||
\(272\) | 0.365891 | + | 0.801189i | 0.0221854 | + | 0.0485792i | ||||
\(273\) | −0.254737 | − | 1.77174i | −0.0154174 | − | 0.107230i | ||||
\(274\) | 8.69111 | + | 5.58544i | 0.525049 | + | 0.337429i | ||||
\(275\) | 1.89709 | 0.114399 | ||||||||
\(276\) | 4.59821 | + | 1.36252i | 0.276780 | + | 0.0820143i | ||||
\(277\) | 7.07448 | 0.425064 | 0.212532 | − | 0.977154i | \(-0.431829\pi\) | ||||
0.212532 | + | 0.977154i | \(0.431829\pi\) | |||||||
\(278\) | −15.2136 | − | 9.77721i | −0.912454 | − | 0.586398i | ||||
\(279\) | 0.596135 | + | 4.14621i | 0.0356897 | + | 0.248227i | ||||
\(280\) | −1.41395 | − | 3.09611i | −0.0844994 | − | 0.185028i | ||||
\(281\) | −11.2281 | − | 3.29686i | −0.669810 | − | 0.196674i | −0.0708918 | − | 0.997484i | \(-0.522584\pi\) |
−0.598919 | + | 0.800810i | \(0.704403\pi\) | |||||||
\(282\) | −1.08501 | + | 2.37583i | −0.0646112 | + | 0.141479i | ||||
\(283\) | −20.8013 | + | 24.0060i | −1.23651 | + | 1.42701i | −0.369119 | + | 0.929382i | \(0.620340\pi\) |
−0.867391 | + | 0.497627i | \(0.834205\pi\) | |||||||
\(284\) | −0.278287 | + | 1.93553i | −0.0165133 | + | 0.114852i | ||||
\(285\) | −6.18790 | + | 1.81693i | −0.366540 | + | 0.107626i | ||||
\(286\) | 0.337687 | + | 0.389712i | 0.0199679 | + | 0.0230441i | ||||
\(287\) | −3.49956 | + | 2.24903i | −0.206573 | + | 0.132756i | ||||
\(288\) | 0.841254 | − | 0.540641i | 0.0495713 | − | 0.0318576i | ||||
\(289\) | 10.6246 | + | 12.2614i | 0.624977 | + | 0.721262i | ||||
\(290\) | −13.9025 | + | 4.08215i | −0.816384 | + | 0.239712i | ||||
\(291\) | −0.355023 | + | 2.46924i | −0.0208118 | + | 0.144749i | ||||
\(292\) | 5.35833 | − | 6.18384i | 0.313573 | − | 0.361882i | ||||
\(293\) | −3.30252 | + | 7.23151i | −0.192935 | + | 0.422469i | −0.981233 | − | 0.192824i | \(-0.938235\pi\) |
0.788298 | + | 0.615294i | \(0.210963\pi\) | |||||||
\(294\) | 0.959493 | + | 0.281733i | 0.0559588 | + | 0.0164310i | ||||
\(295\) | −14.9116 | − | 32.6519i | −0.868188 | − | 1.90107i | ||||
\(296\) | 0.300620 | + | 2.09086i | 0.0174732 | + | 0.121529i | ||||
\(297\) | −0.242354 | − | 0.155751i | −0.0140628 | − | 0.00903761i | ||||
\(298\) | 14.9705 | 0.867220 | ||||||||
\(299\) | 1.24270 | − | 8.49391i | 0.0718671 | − | 0.491215i | ||||
\(300\) | −6.58513 | −0.380193 | ||||||||
\(301\) | 4.73558 | + | 3.04337i | 0.272954 | + | 0.175417i | ||||
\(302\) | −0.419389 | − | 2.91692i | −0.0241331 | − | 0.167850i | ||||
\(303\) | 2.05423 | + | 4.49813i | 0.118012 | + | 0.258411i | ||||
\(304\) | −1.81800 | − | 0.533812i | −0.104269 | − | 0.0306162i | ||||
\(305\) | −10.2139 | + | 22.3654i | −0.584849 | + | 1.28064i | ||||
\(306\) | −0.576791 | + | 0.665652i | −0.0329729 | + | 0.0380528i | ||||
\(307\) | 0.157596 | − | 1.09611i | 0.00899450 | − | 0.0625581i | −0.984830 | − | 0.173523i | \(-0.944485\pi\) |
0.993824 | + | 0.110965i | \(0.0353941\pi\) | |||||||
\(308\) | −0.276417 | + | 0.0811634i | −0.0157503 | + | 0.00462471i | ||||
\(309\) | −8.38022 | − | 9.67128i | −0.476734 | − | 0.550180i | ||||
\(310\) | 11.9942 | − | 7.70822i | 0.681226 | − | 0.437797i | ||||
\(311\) | −3.77407 | + | 2.42545i | −0.214008 | + | 0.137535i | −0.643254 | − | 0.765653i | \(-0.722416\pi\) |
0.429245 | + | 0.903188i | \(0.358780\pi\) | |||||||
\(312\) | −1.17217 | − | 1.35276i | −0.0663612 | − | 0.0765849i | ||||
\(313\) | −26.7097 | + | 7.84269i | −1.50972 | + | 0.443295i | −0.928775 | − | 0.370645i | \(-0.879137\pi\) |
−0.580949 | + | 0.813940i | \(0.697318\pi\) | |||||||
\(314\) | 2.68174 | − | 18.6519i | 0.151340 | − | 1.05259i | ||||
\(315\) | 2.22895 | − | 2.57234i | 0.125587 | − | 0.144935i | ||||
\(316\) | 0.371711 | − | 0.813933i | 0.0209104 | − | 0.0457873i | ||||
\(317\) | 15.2171 | + | 4.46814i | 0.854678 | + | 0.250956i | 0.679586 | − | 0.733596i | \(-0.262160\pi\) |
0.175092 | + | 0.984552i | \(0.443978\pi\) | |||||||
\(318\) | −0.623001 | − | 1.36418i | −0.0349362 | − | 0.0764995i | ||||
\(319\) | 0.174532 | + | 1.21390i | 0.00977191 | + | 0.0679651i | ||||
\(320\) | −2.86337 | − | 1.84018i | −0.160067 | − | 0.102869i | ||||
\(321\) | −3.23929 | −0.180800 | ||||||||
\(322\) | 4.02808 | + | 2.60280i | 0.224476 | + | 0.145048i | ||||
\(323\) | 1.66886 | 0.0928580 | ||||||||
\(324\) | 0.841254 | + | 0.540641i | 0.0467363 | + | 0.0300356i | ||||
\(325\) | 1.67748 | + | 11.6671i | 0.0930498 | + | 0.647176i | ||||
\(326\) | 3.25238 | + | 7.12172i | 0.180133 | + | 0.394435i | ||||
\(327\) | 1.58813 | + | 0.466317i | 0.0878237 | + | 0.0257874i | ||||
\(328\) | −1.72810 | + | 3.78401i | −0.0954184 | + | 0.208937i | ||||
\(329\) | −1.71040 | + | 1.97391i | −0.0942977 | + | 0.108825i | ||||
\(330\) | −0.139548 | + | 0.970578i | −0.00768187 | + | 0.0534286i | ||||
\(331\) | −5.71944 | + | 1.67938i | −0.314369 | + | 0.0923071i | −0.435111 | − | 0.900377i | \(-0.643291\pi\) |
0.120742 | + | 0.992684i | \(0.461473\pi\) | |||||||
\(332\) | 2.13182 | + | 2.46025i | 0.116999 | + | 0.135024i | ||||
\(333\) | −1.77703 | + | 1.14203i | −0.0973806 | + | 0.0625827i | ||||
\(334\) | 2.42084 | − | 1.55578i | 0.132462 | − | 0.0851283i | ||||
\(335\) | −3.86178 | − | 4.45673i | −0.210991 | − | 0.243497i | ||||
\(336\) | 0.959493 | − | 0.281733i | 0.0523446 | − | 0.0153698i | ||||
\(337\) | −1.73537 | + | 12.0698i | −0.0945315 | + | 0.657481i | 0.886370 | + | 0.462977i | \(0.153219\pi\) |
−0.980902 | + | 0.194504i | \(0.937690\pi\) | |||||||
\(338\) | 6.41505 | − | 7.40336i | 0.348933 | − | 0.402690i | ||||
\(339\) | −7.64115 | + | 16.7318i | −0.415010 | + | 0.908746i | ||||
\(340\) | 2.87648 | + | 0.844611i | 0.155999 | + | 0.0458055i | ||||
\(341\) | −0.501303 | − | 1.09770i | −0.0271471 | − | 0.0594438i | ||||
\(342\) | −0.269651 | − | 1.87546i | −0.0145810 | − | 0.101413i | ||||
\(343\) | 0.841254 | + | 0.540641i | 0.0454234 | + | 0.0291919i | ||||
\(344\) | 5.62919 | 0.303506 | ||||||||
\(345\) | 13.7540 | − | 8.79117i | 0.740492 | − | 0.473301i | ||||
\(346\) | 12.3093 | 0.661754 | ||||||||
\(347\) | 27.0634 | + | 17.3926i | 1.45284 | + | 0.933684i | 0.999094 | + | 0.0425533i | \(0.0135492\pi\) |
0.453747 | + | 0.891131i | \(0.350087\pi\) | |||||||
\(348\) | −0.605831 | − | 4.21365i | −0.0324759 | − | 0.225875i | ||||
\(349\) | 4.37757 | + | 9.58555i | 0.234326 | + | 0.513103i | 0.989867 | − | 0.141999i | \(-0.0453530\pi\) |
−0.755541 | + | 0.655102i | \(0.772626\pi\) | |||||||
\(350\) | −6.31839 | − | 1.85525i | −0.337732 | − | 0.0991671i | ||||
\(351\) | 0.743575 | − | 1.62820i | 0.0396891 | − | 0.0869070i | ||||
\(352\) | −0.188657 | + | 0.217721i | −0.0100554 | + | 0.0116046i | ||||
\(353\) | 4.71023 | − | 32.7604i | 0.250700 | − | 1.74366i | −0.343328 | − | 0.939216i | \(-0.611554\pi\) |
0.594028 | − | 0.804444i | \(-0.297537\pi\) | |||||||
\(354\) | 10.1189 | − | 2.97118i | 0.537814 | − | 0.157916i | ||||
\(355\) | 4.35854 | + | 5.03003i | 0.231327 | + | 0.266966i | ||||
\(356\) | 0.514195 | − | 0.330453i | 0.0272523 | − | 0.0175140i | ||||
\(357\) | −0.740962 | + | 0.476188i | −0.0392159 | + | 0.0252025i | ||||
\(358\) | 7.03039 | + | 8.11351i | 0.371568 | + | 0.428812i | ||||
\(359\) | −26.3613 | + | 7.74037i | −1.39129 | + | 0.408521i | −0.889686 | − | 0.456574i | \(-0.849076\pi\) |
−0.501609 | + | 0.865095i | \(0.667258\pi\) | |||||||
\(360\) | 0.484396 | − | 3.36905i | 0.0255299 | − | 0.177564i | ||||
\(361\) | 10.0914 | − | 11.6460i | 0.531124 | − | 0.612950i | ||||
\(362\) | 9.07565 | − | 19.8729i | 0.477006 | − | 1.04450i | ||||
\(363\) | −10.4748 | − | 3.07568i | −0.549784 | − | 0.161431i | ||||
\(364\) | −0.743575 | − | 1.62820i | −0.0389739 | − | 0.0853410i | ||||
\(365\) | −3.96352 | − | 27.5669i | −0.207460 | − | 1.44292i | ||||
\(366\) | −6.07698 | − | 3.90544i | −0.317649 | − | 0.204141i | ||||
\(367\) | −12.3652 | −0.645461 | −0.322730 | − | 0.946491i | \(-0.604601\pi\) | ||||
−0.322730 | + | 0.946491i | \(0.604601\pi\) | |||||||
\(368\) | 4.79582 | + | 0.0118662i | 0.249999 | + | 0.000618569i | ||||
\(369\) | −4.15994 | −0.216558 | ||||||||
\(370\) | 6.04846 | + | 3.88711i | 0.314445 | + | 0.202081i | ||||
\(371\) | −0.213431 | − | 1.48444i | −0.0110808 | − | 0.0770684i | ||||
\(372\) | 1.74011 | + | 3.81031i | 0.0902206 | + | 0.197555i | ||||
\(373\) | −19.5857 | − | 5.75087i | −1.01411 | − | 0.297769i | −0.267874 | − | 0.963454i | \(-0.586321\pi\) |
−0.746233 | + | 0.665685i | \(0.768139\pi\) | |||||||
\(374\) | 0.105408 | − | 0.230812i | 0.00545053 | − | 0.0119350i | ||||
\(375\) | −3.53317 | + | 4.07750i | −0.182452 | + | 0.210561i | ||||
\(376\) | −0.371707 | + | 2.58528i | −0.0191693 | + | 0.133325i | ||||
\(377\) | −7.31115 | + | 2.14675i | −0.376543 | + | 0.110563i | ||||
\(378\) | 0.654861 | + | 0.755750i | 0.0336824 | + | 0.0388716i | ||||
\(379\) | −22.4834 | + | 14.4492i | −1.15489 | + | 0.742205i | −0.970607 | − | 0.240668i | \(-0.922633\pi\) |
−0.184286 | + | 0.982873i | \(0.558997\pi\) | |||||||
\(380\) | −5.42536 | + | 3.48667i | −0.278315 | + | 0.178862i | ||||
\(381\) | 5.81207 | + | 6.70749i | 0.297761 | + | 0.343635i | ||||
\(382\) | −2.56267 | + | 0.752467i | −0.131118 | + | 0.0384996i | ||||
\(383\) | 1.01894 | − | 7.08691i | 0.0520656 | − | 0.362124i | −0.947087 | − | 0.320976i | \(-0.895989\pi\) |
0.999153 | − | 0.0411486i | \(-0.0131017\pi\) | |||||||
\(384\) | 0.654861 | − | 0.755750i | 0.0334182 | − | 0.0385667i | ||||
\(385\) | −0.407339 | + | 0.891948i | −0.0207599 | + | 0.0454579i | ||||
\(386\) | 6.88928 | + | 2.02288i | 0.350655 | + | 0.102962i | ||||
\(387\) | 2.33845 | + | 5.12049i | 0.118870 | + | 0.260289i | ||||
\(388\) | 0.355023 | + | 2.46924i | 0.0180236 | + | 0.125357i | ||||
\(389\) | 8.11024 | + | 5.21213i | 0.411205 | + | 0.264266i | 0.729848 | − | 0.683609i | \(-0.239591\pi\) |
−0.318643 | + | 0.947875i | \(0.603227\pi\) | |||||||
\(390\) | −6.09246 | −0.308504 | ||||||||
\(391\) | −4.05592 | + | 1.18003i | −0.205117 | + | 0.0596768i | ||||
\(392\) | 1.00000 | 0.0505076 | ||||||||
\(393\) | 10.7968 | + | 6.93868i | 0.544627 | + | 0.350010i | ||||
\(394\) | −1.43362 | − | 9.97105i | −0.0722248 | − | 0.502334i | ||||
\(395\) | −1.26519 | − | 2.77038i | −0.0636586 | − | 0.139393i | ||||
\(396\) | −0.276417 | − | 0.0811634i | −0.0138905 | − | 0.00407861i | ||||
\(397\) | −13.0348 | + | 28.5422i | −0.654198 | + | 1.43249i | 0.233634 | + | 0.972325i | \(0.424938\pi\) |
−0.887831 | + | 0.460169i | \(0.847789\pi\) | |||||||
\(398\) | 8.93094 | − | 10.3069i | 0.447668 | − | 0.516636i | ||||
\(399\) | 0.269651 | − | 1.87546i | 0.0134994 | − | 0.0938905i | ||||
\(400\) | −6.31839 | + | 1.85525i | −0.315919 | + | 0.0927623i | ||||
\(401\) | −7.91331 | − | 9.13245i | −0.395172 | − | 0.456053i | 0.522943 | − | 0.852368i | \(-0.324834\pi\) |
−0.918115 | + | 0.396315i | \(0.870289\pi\) | |||||||
\(402\) | 1.45752 | − | 0.936692i | 0.0726945 | − | 0.0467179i | ||||
\(403\) | 6.30760 | − | 4.05365i | 0.314204 | − | 0.201927i | ||||
\(404\) | 3.23828 | + | 3.73718i | 0.161111 | + | 0.185932i | ||||
\(405\) | 3.26582 | − | 0.958931i | 0.162280 | − | 0.0476497i | ||||
\(406\) | 0.605831 | − | 4.21365i | 0.0300669 | − | 0.209120i | ||||
\(407\) | 0.398510 | − | 0.459906i | 0.0197534 | − | 0.0227967i | ||||
\(408\) | −0.365891 | + | 0.801189i | −0.0181143 | + | 0.0396648i | ||||
\(409\) | −3.98986 | − | 1.17153i | −0.197286 | − | 0.0579283i | 0.181597 | − | 0.983373i | \(-0.441873\pi\) |
−0.378883 | + | 0.925445i | \(0.623692\pi\) | |||||||
\(410\) | 5.88193 | + | 12.8796i | 0.290488 | + | 0.636079i | ||||
\(411\) | 1.47028 | + | 10.2260i | 0.0725233 | + | 0.504411i | ||||
\(412\) | −10.7655 | − | 6.91855i | −0.530377 | − | 0.340852i | ||||
\(413\) | 10.5461 | 0.518940 | ||||||||
\(414\) | 1.98146 | + | 4.36736i | 0.0973835 | + | 0.214644i | ||||
\(415\) | 11.0803 | 0.543910 | ||||||||
\(416\) | −1.50581 | − | 0.967724i | −0.0738283 | − | 0.0474466i | ||||
\(417\) | −2.57369 | − | 17.9004i | −0.126034 | − | 0.876587i | ||||
\(418\) | 0.226755 | + | 0.496524i | 0.0110909 | + | 0.0242858i | ||||
\(419\) | −27.6498 | − | 8.11872i | −1.35078 | − | 0.396625i | −0.475278 | − | 0.879836i | \(-0.657652\pi\) |
−0.875504 | + | 0.483210i | \(0.839471\pi\) | |||||||
\(420\) | 1.41395 | − | 3.09611i | 0.0689935 | − | 0.151075i | ||||
\(421\) | −0.906278 | + | 1.04590i | −0.0441693 | + | 0.0509741i | −0.777404 | − | 0.629001i | \(-0.783464\pi\) |
0.733235 | + | 0.679975i | \(0.238010\pi\) | |||||||
\(422\) | 2.41839 | − | 16.8203i | 0.117725 | − | 0.818798i | ||||
\(423\) | −2.50606 | + | 0.735846i | −0.121849 | + | 0.0357781i | ||||
\(424\) | −0.982100 | − | 1.13340i | −0.0476950 | − | 0.0550429i | ||||
\(425\) | 4.87934 | − | 3.13576i | 0.236683 | − | 0.152107i | ||||
\(426\) | −1.64501 | + | 1.05718i | −0.0797011 | + | 0.0512208i | ||||
\(427\) | −4.73053 | − | 5.45932i | −0.228926 | − | 0.264195i | ||||
\(428\) | −3.10808 | + | 0.912614i | −0.150235 | + | 0.0441129i | ||||
\(429\) | −0.0733865 | + | 0.510414i | −0.00354313 | + | 0.0246430i | ||||
\(430\) | 12.5472 | − | 14.4802i | 0.605078 | − | 0.698297i | ||||
\(431\) | −10.9357 | + | 23.9459i | −0.526755 | + | 1.15343i | 0.440063 | + | 0.897967i | \(0.354956\pi\) |
−0.966818 | + | 0.255466i | \(0.917771\pi\) | |||||||
\(432\) | 0.959493 | + | 0.281733i | 0.0461636 | + | 0.0135549i | ||||
\(433\) | −13.3782 | − | 29.2941i | −0.642915 | − | 1.40779i | −0.897621 | − | 0.440768i | \(-0.854706\pi\) |
0.254706 | − | 0.967018i | \(-0.418021\pi\) | |||||||
\(434\) | 0.596135 | + | 4.14621i | 0.0286154 | + | 0.199025i | ||||
\(435\) | −12.1893 | − | 7.83358i | −0.584432 | − | 0.375592i | ||||
\(436\) | 1.65517 | 0.0792685 | ||||||||
\(437\) | 3.79527 | − | 8.25636i | 0.181552 | − | 0.394955i | ||||
\(438\) | 8.18240 | 0.390970 | ||||||||
\(439\) | 10.9229 | + | 7.01973i | 0.521322 | + | 0.335033i | 0.774695 | − | 0.632335i | \(-0.217904\pi\) |
−0.253373 | + | 0.967369i | \(0.581540\pi\) | |||||||
\(440\) | 0.139548 | + | 0.970578i | 0.00665269 | + | 0.0462705i | ||||
\(441\) | 0.415415 | + | 0.909632i | 0.0197817 | + | 0.0433158i | ||||
\(442\) | 1.51270 | + | 0.444170i | 0.0719519 | + | 0.0211270i | ||||
\(443\) | −15.6678 | + | 34.3076i | −0.744398 | + | 1.63000i | 0.0317840 | + | 0.999495i | \(0.489881\pi\) |
−0.776182 | + | 0.630509i | \(0.782846\pi\) | |||||||
\(444\) | −1.38330 | + | 1.59641i | −0.0656485 | + | 0.0757625i | ||||
\(445\) | 0.296075 | − | 2.05924i | 0.0140353 | − | 0.0976175i | ||||
\(446\) | 15.7070 | − | 4.61198i | 0.743746 | − | 0.218383i | ||||
\(447\) | 9.80362 | + | 11.3140i | 0.463695 | + | 0.535133i | ||||
\(448\) | 0.841254 | − | 0.540641i | 0.0397455 | − | 0.0255429i | ||||
\(449\) | −7.81408 | + | 5.02180i | −0.368769 | + | 0.236994i | −0.711880 | − | 0.702301i | \(-0.752156\pi\) |
0.343110 | + | 0.939295i | \(0.388519\pi\) | |||||||
\(450\) | −4.31234 | − | 4.97671i | −0.203286 | − | 0.234604i | ||||
\(451\) | 1.14988 | − | 0.337635i | 0.0541456 | − | 0.0158986i | ||||
\(452\) | −2.61774 | + | 18.2068i | −0.123128 | + | 0.856376i | ||||
\(453\) | 1.92982 | − | 2.22713i | 0.0906707 | − | 0.104640i | ||||
\(454\) | 6.79082 | − | 14.8698i | 0.318709 | − | 0.697875i | ||||
\(455\) | −5.84568 | − | 1.71645i | −0.274050 | − | 0.0804682i | ||||
\(456\) | −0.787107 | − | 1.72352i | −0.0368596 | − | 0.0807114i | ||||
\(457\) | 1.36981 | + | 9.52724i | 0.0640770 | + | 0.445665i | 0.996451 | + | 0.0841711i | \(0.0268242\pi\) |
−0.932374 | + | 0.361494i | \(0.882267\pi\) | |||||||
\(458\) | −24.3460 | − | 15.6462i | −1.13762 | − | 0.731101i | ||||
\(459\) | −0.880784 | −0.0411115 | ||||||||
\(460\) | 10.7201 | − | 12.3100i | 0.499829 | − | 0.573958i | ||||
\(461\) | −13.9651 | −0.650421 | −0.325211 | − | 0.945642i | \(-0.605435\pi\) | ||||
−0.325211 | + | 0.945642i | \(0.605435\pi\) | |||||||
\(462\) | −0.242354 | − | 0.155751i | −0.0112753 | − | 0.00724621i | ||||
\(463\) | −0.0744451 | − | 0.517777i | −0.00345976 | − | 0.0240632i | 0.988018 | − | 0.154336i | \(-0.0493238\pi\) |
−0.991478 | + | 0.130273i | \(0.958415\pi\) | |||||||
\(464\) | −1.76841 | − | 3.87228i | −0.0820965 | − | 0.179766i | ||||
\(465\) | 13.6800 | + | 4.01682i | 0.634396 | + | 0.186276i | ||||
\(466\) | −6.86862 | + | 15.0402i | −0.318183 | + | 0.696723i | ||||
\(467\) | 18.6514 | − | 21.5249i | 0.863085 | − | 0.996053i | −0.136900 | − | 0.990585i | \(-0.543714\pi\) |
0.999985 | − | 0.00546805i | \(-0.00174054\pi\) | |||||||
\(468\) | 0.254737 | − | 1.77174i | 0.0117752 | − | 0.0818986i | ||||
\(469\) | 1.66238 | − | 0.488118i | 0.0767615 | − | 0.0225392i | ||||
\(470\) | 5.82169 | + | 6.71859i | 0.268535 | + | 0.309906i | ||||
\(471\) | 15.8524 | − | 10.1877i | 0.730438 | − | 0.469424i | ||||
\(472\) | 8.87194 | − | 5.70165i | 0.408364 | − | 0.262440i | ||||
\(473\) | −1.06198 | − | 1.22560i | −0.0488301 | − | 0.0563529i | ||||
\(474\) | 0.858548 | − | 0.252093i | 0.0394344 | − | 0.0115790i | ||||
\(475\) | −1.77569 | + | 12.3502i | −0.0814740 | + | 0.566664i | ||||
\(476\) | −0.576791 | + | 0.665652i | −0.0264372 | + | 0.0305101i | ||||
\(477\) | 0.623001 | − | 1.36418i | 0.0285253 | − | 0.0624616i | ||||
\(478\) | −14.6327 | − | 4.29655i | −0.669284 | − | 0.196520i | ||||
\(479\) | 3.03789 | + | 6.65205i | 0.138805 | + | 0.303940i | 0.966250 | − | 0.257607i | \(-0.0829339\pi\) |
−0.827445 | + | 0.561546i | \(0.810207\pi\) | |||||||
\(480\) | −0.484396 | − | 3.36905i | −0.0221096 | − | 0.153775i | ||||
\(481\) | 3.18080 | + | 2.04418i | 0.145032 | + | 0.0932065i | ||||
\(482\) | 6.74072 | 0.307031 | ||||||||
\(483\) | 0.670770 | + | 4.74869i | 0.0305211 | + | 0.216073i | ||||
\(484\) | −10.9170 | −0.496228 | ||||||||
\(485\) | 7.14305 | + | 4.59056i | 0.324349 | + | 0.208446i | ||||
\(486\) | 0.142315 | + | 0.989821i | 0.00645553 | + | 0.0448992i | ||||
\(487\) | 3.83449 | + | 8.39635i | 0.173757 | + | 0.380475i | 0.976395 | − | 0.215991i | \(-0.0692982\pi\) |
−0.802638 | + | 0.596466i | \(0.796571\pi\) | |||||||
\(488\) | −6.93111 | − | 2.03516i | −0.313757 | − | 0.0921272i | ||||
\(489\) | −3.25238 | + | 7.12172i | −0.147078 | + | 0.322055i | ||||
\(490\) | 2.22895 | − | 2.57234i | 0.100693 | − | 0.116206i | ||||
\(491\) | 3.15779 | − | 21.9629i | 0.142509 | − | 0.991174i | −0.785565 | − | 0.618779i | \(-0.787628\pi\) |
0.928074 | − | 0.372395i | \(-0.121463\pi\) | |||||||
\(492\) | −3.99143 | + | 1.17199i | −0.179948 | + | 0.0528374i | ||||
\(493\) | 2.45538 | + | 2.83366i | 0.110585 | + | 0.127622i | ||||
\(494\) | −2.85312 | + | 1.83359i | −0.128368 | + | 0.0824972i | ||||
\(495\) | −0.824899 | + | 0.530130i | −0.0370764 | + | 0.0238276i | ||||
\(496\) | 2.74311 | + | 3.16572i | 0.123169 | + | 0.142145i | ||||
\(497\) | −1.87622 | + | 0.550908i | −0.0841600 | + | 0.0247116i | ||||
\(498\) | −0.463288 | + | 3.22224i | −0.0207604 | + | 0.144392i | ||||
\(499\) | −5.47520 | + | 6.31872i | −0.245104 | + | 0.282865i | −0.864949 | − | 0.501859i | \(-0.832650\pi\) |
0.619846 | + | 0.784724i | \(0.287195\pi\) | |||||||
\(500\) | −2.24129 | + | 4.90774i | −0.100234 | + | 0.219481i | ||||
\(501\) | 2.76109 | + | 0.810729i | 0.123356 | + | 0.0362207i | ||||
\(502\) | 2.66299 | + | 5.83114i | 0.118855 | + | 0.260256i | ||||
\(503\) | 2.74492 | + | 19.0914i | 0.122390 | + | 0.851241i | 0.954836 | + | 0.297135i | \(0.0960310\pi\) |
−0.832446 | + | 0.554107i | \(0.813060\pi\) | |||||||
\(504\) | 0.841254 | + | 0.540641i | 0.0374724 | + | 0.0240821i | ||||
\(505\) | 16.8312 | 0.748981 | ||||||||
\(506\) | −0.902179 | − | 1.04639i | −0.0401068 | − | 0.0465177i | ||||
\(507\) | 9.79606 | 0.435058 | ||||||||
\(508\) | 7.46636 | + | 4.79834i | 0.331266 | + | 0.212892i | ||||
\(509\) | 5.03955 | + | 35.0508i | 0.223374 | + | 1.55360i | 0.725143 | + | 0.688598i | \(0.241774\pi\) |
−0.501769 | + | 0.865002i | \(0.667317\pi\) | |||||||
\(510\) | 1.24538 | + | 2.72700i | 0.0551464 | + | 0.120754i | ||||
\(511\) | 7.85095 | + | 2.30525i | 0.347306 | + | 0.101978i | ||||
\(512\) | 0.415415 | − | 0.909632i | 0.0183589 | − | 0.0402004i | ||||
\(513\) | 1.24080 | − | 1.43195i | 0.0547825 | − | 0.0632223i | ||||
\(514\) | −3.11251 | + | 21.6480i | −0.137287 | + | 0.954853i | ||||
\(515\) | −41.7925 | + | 12.2714i | −1.84160 | + | 0.540742i | ||||
\(516\) | 3.68634 | + | 4.25426i | 0.162282 | + | 0.187283i | ||||
\(517\) | 0.632995 | − | 0.406801i | 0.0278391 | − | 0.0178911i | ||||
\(518\) | −1.77703 | + | 1.14203i | −0.0780782 | + | 0.0501778i | ||||
\(519\) | 8.06090 | + | 9.30278i | 0.353834 | + | 0.408347i | ||||
\(520\) | −5.84568 | + | 1.71645i | −0.256350 | + | 0.0752711i | ||||
\(521\) | 3.58897 | − | 24.9619i | 0.157236 | − | 1.09360i | −0.746462 | − | 0.665428i | \(-0.768249\pi\) |
0.903698 | − | 0.428171i | \(-0.140842\pi\) | |||||||
\(522\) | 2.78773 | − | 3.21721i | 0.122015 | − | 0.140813i | ||||
\(523\) | 0.571249 | − | 1.25086i | 0.0249790 | − | 0.0546963i | −0.896731 | − | 0.442575i | \(-0.854065\pi\) |
0.921710 | + | 0.387879i | \(0.126792\pi\) | |||||||
\(524\) | 12.3143 | + | 3.61581i | 0.537953 | + | 0.157957i | ||||
\(525\) | −2.73556 | − | 5.99005i | −0.119390 | − | 0.261427i | ||||
\(526\) | 3.48605 | + | 24.2460i | 0.151999 | + | 1.05718i | ||||
\(527\) | −3.10378 | − | 1.99468i | −0.135203 | − | 0.0868896i | ||||
\(528\) | −0.288087 | −0.0125374 | ||||||||
\(529\) | −3.38586 | + | 22.7494i | −0.147211 | + | 0.989105i | ||||
\(530\) | −5.10455 | −0.221727 | ||||||||
\(531\) | 8.87194 | + | 5.70165i | 0.385010 | + | 0.247431i | ||||
\(532\) | −0.269651 | − | 1.87546i | −0.0116908 | − | 0.0813116i | ||||
\(533\) | 3.09322 | + | 6.77322i | 0.133982 | + | 0.293381i | ||||
\(534\) | 0.586465 | + | 0.172202i | 0.0253788 | + | 0.00745190i | ||||
\(535\) | −4.58018 | + | 10.0292i | −0.198019 | + | 0.433600i | ||||
\(536\) | 1.13458 | − | 1.30938i | 0.0490066 | − | 0.0565566i | ||||
\(537\) | −1.52785 | + | 10.6264i | −0.0659316 | + | 0.458564i | ||||
\(538\) | −17.7077 | + | 5.19946i | −0.763434 | + | 0.224165i | ||||
\(539\) | −0.188657 | − | 0.217721i | −0.00812602 | − | 0.00937792i | ||||
\(540\) | 2.86337 | − | 1.84018i | 0.123220 | − | 0.0791886i | ||||
\(541\) | 10.1551 | − | 6.52628i | 0.436601 | − | 0.280587i | −0.303820 | − | 0.952729i | \(-0.598262\pi\) |
0.740422 | + | 0.672143i | \(0.234626\pi\) | |||||||
\(542\) | 5.48513 | + | 6.33018i | 0.235606 | + | 0.271904i | ||||
\(543\) | 20.9622 | − | 6.15507i | 0.899576 | − | 0.264139i | ||||
\(544\) | −0.125349 | + | 0.871819i | −0.00537428 | + | 0.0373789i | ||||
\(545\) | 3.68929 | − | 4.25767i | 0.158032 | − | 0.182379i | ||||
\(546\) | 0.743575 | − | 1.62820i | 0.0318221 | − | 0.0696806i | ||||
\(547\) | −29.3490 | − | 8.61765i | −1.25487 | − | 0.368464i | −0.414290 | − | 0.910145i | \(-0.635970\pi\) |
−0.840584 | + | 0.541681i | \(0.817788\pi\) | |||||||
\(548\) | 4.29171 | + | 9.39754i | 0.183333 | + | 0.401443i | ||||
\(549\) | −1.02804 | − | 7.15019i | −0.0438758 | − | 0.305163i | ||||
\(550\) | 1.59593 | + | 1.02564i | 0.0680508 | + | 0.0437336i | ||||
\(551\) | −8.06589 | −0.343619 | ||||||||
\(552\) | 3.13162 | + | 3.63221i | 0.133291 | + | 0.154597i | ||||
\(553\) | 0.894794 | 0.0380505 | ||||||||
\(554\) | 5.95143 | + | 3.82475i | 0.252852 | + | 0.162498i | ||||
\(555\) | 1.02322 | + | 7.11664i | 0.0434332 | + | 0.302085i | ||||
\(556\) | −7.51257 | − | 16.4502i | −0.318604 | − | 0.697645i | ||||
\(557\) | −18.2341 | − | 5.35400i | −0.772602 | − | 0.226856i | −0.128411 | − | 0.991721i | \(-0.540988\pi\) |
−0.644191 | + | 0.764865i | \(0.722806\pi\) | |||||||
\(558\) | −1.74011 | + | 3.81031i | −0.0736648 | + | 0.161303i | ||||
\(559\) | 6.59838 | − | 7.61494i | 0.279082 | − | 0.322078i | ||||
\(560\) | 0.484396 | − | 3.36905i | 0.0204695 | − | 0.142368i | ||||
\(561\) | 0.243464 | − | 0.0714874i | 0.0102790 | − | 0.00301820i | ||||
\(562\) | −7.66323 | − | 8.84384i | −0.323254 | − | 0.373055i | ||||
\(563\) | −8.09371 | + | 5.20151i | −0.341109 | + | 0.219218i | −0.699968 | − | 0.714174i | \(-0.746802\pi\) |
0.358859 | + | 0.933392i | \(0.383166\pi\) | |||||||
\(564\) | −2.19724 | + | 1.41208i | −0.0925204 | + | 0.0594592i | ||||
\(565\) | 40.9993 | + | 47.3157i | 1.72485 | + | 1.99059i | ||||
\(566\) | −30.4778 | + | 8.94909i | −1.28108 | + | 0.376158i | ||||
\(567\) | −0.142315 | + | 0.989821i | −0.00597666 | + | 0.0415686i | ||||
\(568\) | −1.28053 | + | 1.47781i | −0.0537300 | + | 0.0620077i | ||||
\(569\) | −12.3451 | + | 27.0320i | −0.517534 | + | 1.13324i | 0.452831 | + | 0.891596i | \(0.350414\pi\) |
−0.970365 | + | 0.241644i | \(0.922313\pi\) | |||||||
\(570\) | −6.18790 | − | 1.81693i | −0.259183 | − | 0.0761029i | ||||
\(571\) | −16.4266 | − | 35.9693i | −0.687434 | − | 1.50527i | −0.854570 | − | 0.519336i | \(-0.826179\pi\) |
0.167136 | − | 0.985934i | \(-0.446548\pi\) | |||||||
\(572\) | 0.0733865 | + | 0.510414i | 0.00306844 | + | 0.0213415i | ||||
\(573\) | −2.24687 | − | 1.44397i | −0.0938642 | − | 0.0603229i | ||||
\(574\) | −4.15994 | −0.173632 | ||||||||
\(575\) | −4.41711 | − | 31.2708i | −0.184206 | − | 1.30408i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −8.01904 | − | 5.15353i | −0.333837 | − | 0.214544i | 0.362973 | − | 0.931800i | \(-0.381762\pi\) |
−0.696810 | + | 0.717256i | \(0.745398\pi\) | |||||||
\(578\) | 2.30895 | + | 16.0591i | 0.0960395 | + | 0.667970i | ||||
\(579\) | 2.98273 | + | 6.53128i | 0.123958 | + | 0.271431i | ||||
\(580\) | −13.9025 | − | 4.08215i | −0.577271 | − | 0.169502i | ||||
\(581\) | −1.35233 | + | 2.96119i | −0.0561041 | + | 0.122851i | ||||
\(582\) | −1.63363 | + | 1.88532i | −0.0677163 | + | 0.0781488i | ||||
\(583\) | −0.0614865 | + | 0.427648i | −0.00254651 | + | 0.0177114i | ||||
\(584\) | 7.85095 | − | 2.30525i | 0.324875 | − | 0.0953918i | ||||
\(585\) | −3.98972 | − | 4.60438i | −0.164954 | − | 0.190368i | ||||
\(586\) | −6.68791 | + | 4.29806i | −0.276275 | + | 0.177551i | ||||
\(587\) | −31.0799 | + | 19.9739i | −1.28281 | + | 0.824409i | −0.991231 | − | 0.132139i | \(-0.957816\pi\) |
−0.291575 | + | 0.956548i | \(0.594179\pi\) | |||||||
\(588\) | 0.654861 | + | 0.755750i | 0.0270060 | + | 0.0311666i | ||||
\(589\) | 7.61532 | − | 2.23606i | 0.313784 | − | 0.0921352i | ||||
\(590\) | 5.10849 | − | 35.5303i | 0.210313 | − | 1.46276i | ||||
\(591\) | 6.59680 | − | 7.61311i | 0.271356 | − | 0.313161i | ||||
\(592\) | −0.877505 | + | 1.92147i | −0.0360652 | + | 0.0789719i | ||||
\(593\) | 33.3314 | + | 9.78697i | 1.36875 | + | 0.401903i | 0.881841 | − | 0.471547i | \(-0.156304\pi\) |
0.486914 | + | 0.873450i | \(0.338123\pi\) | |||||||
\(594\) | −0.119676 | − | 0.262053i | −0.00491035 | − | 0.0107522i | ||||
\(595\) | 0.426648 | + | 2.96740i | 0.0174909 | + | 0.121652i | ||||
\(596\) | 12.5940 | + | 8.09369i | 0.515871 | + | 0.331530i | ||||
\(597\) | 13.6379 | 0.558163 | ||||||||
\(598\) | 5.63758 | − | 6.47367i | 0.230538 | − | 0.264728i | ||||
\(599\) | −41.6239 | −1.70071 | −0.850354 | − | 0.526212i | \(-0.823612\pi\) | ||||
−0.850354 | + | 0.526212i | \(0.823612\pi\) | |||||||
\(600\) | −5.53977 | − | 3.56019i | −0.226160 | − | 0.145344i | ||||
\(601\) | 2.38672 | + | 16.6000i | 0.0973562 | + | 0.677127i | 0.978797 | + | 0.204833i | \(0.0656650\pi\) |
−0.881441 | + | 0.472294i | \(0.843426\pi\) | |||||||
\(602\) | 2.33845 | + | 5.12049i | 0.0953081 | + | 0.208696i | ||||
\(603\) | 1.66238 | + | 0.488118i | 0.0676972 | + | 0.0198777i | ||||
\(604\) | 1.22419 | − | 2.68061i | 0.0498117 | − | 0.109072i | ||||
\(605\) | −24.3334 | + | 28.0823i | −0.989294 | + | 1.14171i | ||||
\(606\) | −0.703746 | + | 4.89466i | −0.0285877 | + | 0.198832i | ||||
\(607\) | 19.5573 | − | 5.74255i | 0.793807 | − | 0.233083i | 0.140406 | − | 0.990094i | \(-0.455159\pi\) |
0.653402 | + | 0.757011i | \(0.273341\pi\) | |||||||
\(608\) | −1.24080 | − | 1.43195i | −0.0503209 | − | 0.0580734i | ||||
\(609\) | 3.58120 | − | 2.30150i | 0.145117 | − | 0.0932613i | ||||
\(610\) | −20.6842 | + | 13.2929i | −0.837478 | + | 0.538214i | ||||
\(611\) | 3.06155 | + | 3.53322i | 0.123857 | + | 0.142939i | ||||
\(612\) | −0.845106 | + | 0.248145i | −0.0341614 | + | 0.0100307i | ||||
\(613\) | −2.19995 | + | 15.3010i | −0.0888551 | + | 0.618001i | 0.895926 | + | 0.444203i | \(0.146513\pi\) |
−0.984781 | + | 0.173798i | \(0.944396\pi\) | |||||||
\(614\) | 0.725179 | − | 0.836901i | 0.0292658 | − | 0.0337746i | ||||
\(615\) | −5.88193 | + | 12.8796i | −0.237182 | + | 0.519356i | ||||
\(616\) | −0.276417 | − | 0.0811634i | −0.0111372 | − | 0.00327017i | ||||
\(617\) | −14.1434 | − | 30.9697i | −0.569392 | − | 1.24679i | −0.947121 | − | 0.320878i | \(-0.896022\pi\) |
0.377729 | − | 0.925916i | \(-0.376705\pi\) | |||||||
\(618\) | −1.82119 | − | 12.6667i | −0.0732592 | − | 0.509529i | ||||
\(619\) | −24.7001 | − | 15.8738i | −0.992781 | − | 0.638022i | −0.0598994 | − | 0.998204i | \(-0.519078\pi\) |
−0.932882 | + | 0.360183i | \(0.882714\pi\) | |||||||
\(620\) | 14.2576 | 0.572597 | ||||||||
\(621\) | −2.00305 | + | 4.35750i | −0.0803796 | + | 0.174860i | ||||
\(622\) | −4.48625 | −0.179882 | ||||||||
\(623\) | 0.514195 | + | 0.330453i | 0.0206008 | + | 0.0132393i | ||||
\(624\) | −0.254737 | − | 1.77174i | −0.0101977 | − | 0.0709263i | ||||
\(625\) | −6.04915 | − | 13.2458i | −0.241966 | − | 0.529831i | ||||
\(626\) | −26.7097 | − | 7.84269i | −1.06754 | − | 0.313457i | ||||
\(627\) | −0.226755 | + | 0.496524i | −0.00905572 | + | 0.0198293i | ||||
\(628\) | 12.3400 | − | 14.2412i | 0.492421 | − | 0.568284i | ||||
\(629\) | 0.264781 | − | 1.84159i | 0.0105575 | − | 0.0734291i | ||||
\(630\) | 3.26582 | − | 0.958931i | 0.130113 | − | 0.0382047i | ||||
\(631\) | 28.1428 | + | 32.4785i | 1.12035 | + | 1.29295i | 0.951617 | + | 0.307286i | \(0.0994209\pi\) |
0.168729 | + | 0.985662i | \(0.446034\pi\) | |||||||
\(632\) | 0.752748 | − | 0.483762i | 0.0299427 | − | 0.0192430i | ||||
\(633\) | 14.2956 | − | 9.18724i | 0.568200 | − | 0.365160i | ||||
\(634\) | 10.3858 | + | 11.9858i | 0.412472 | + | 0.476018i | ||||
\(635\) | 28.9851 | − | 8.51078i | 1.15024 | − | 0.337740i | ||||
\(636\) | 0.213431 | − | 1.48444i | 0.00846308 | − | 0.0588620i | ||||
\(637\) | 1.17217 | − | 1.35276i | 0.0464432 | − | 0.0535983i | ||||
\(638\) | −0.509456 | + | 1.11555i | −0.0201696 | + | 0.0441652i | ||||
\(639\) | −1.87622 | − | 0.550908i | −0.0742221 | − | 0.0217936i | ||||
\(640\) | −1.41395 | − | 3.09611i | −0.0558911 | − | 0.122384i | ||||
\(641\) | −3.65079 | − | 25.3918i | −0.144198 | − | 1.00292i | −0.925496 | − | 0.378758i | \(-0.876351\pi\) |
0.781298 | − | 0.624158i | \(-0.214558\pi\) | |||||||
\(642\) | −2.72507 | − | 1.75129i | −0.107550 | − | 0.0691180i | ||||
\(643\) | −31.7242 | −1.25108 | −0.625541 | − | 0.780192i | \(-0.715122\pi\) | ||||
−0.625541 | + | 0.780192i | \(0.715122\pi\) | |||||||
\(644\) | 1.98146 | + | 4.36736i | 0.0780805 | + | 0.172098i | ||||
\(645\) | 19.1600 | 0.754426 | ||||||||
\(646\) | 1.40394 | + | 0.902255i | 0.0552372 | + | 0.0354988i | ||||
\(647\) | 6.79823 | + | 47.2827i | 0.267266 | + | 1.85888i | 0.474062 | + | 0.880491i | \(0.342787\pi\) |
−0.206796 | + | 0.978384i | \(0.566304\pi\) | |||||||
\(648\) | 0.415415 | + | 0.909632i | 0.0163190 | + | 0.0357337i | ||||
\(649\) | −2.91512 | − | 0.855957i | −0.114429 | − | 0.0335993i | ||||
\(650\) | −4.89654 | + | 10.7219i | −0.192058 | + | 0.420548i | ||||
\(651\) | −2.74311 | + | 3.16572i | −0.107511 | + | 0.124074i | ||||
\(652\) | −1.11422 | + | 7.74954i | −0.0436360 | + | 0.303495i | ||||
\(653\) | 2.64976 | − | 0.778040i | 0.103693 | − | 0.0304471i | −0.229474 | − | 0.973315i | \(-0.573701\pi\) |
0.333168 | + | 0.942868i | \(0.391883\pi\) | |||||||
\(654\) | 1.08391 | + | 1.25090i | 0.0423842 | + | 0.0489140i | ||||
\(655\) | 36.7490 | − | 23.6172i | 1.43590 | − | 0.922798i | ||||
\(656\) | −3.49956 | + | 2.24903i | −0.136635 | + | 0.0878099i | ||||
\(657\) | 5.35833 | + | 6.18384i | 0.209048 | + | 0.241255i | ||||
\(658\) | −2.50606 | + | 0.735846i | −0.0976965 | + | 0.0286863i | ||||
\(659\) | −4.89405 | + | 34.0388i | −0.190645 | + | 1.32596i | 0.639661 | + | 0.768657i | \(0.279075\pi\) |
−0.830306 | + | 0.557308i | \(0.811834\pi\) | |||||||
\(660\) | −0.642130 | + | 0.741057i | −0.0249949 | + | 0.0288456i | ||||
\(661\) | −11.3787 | + | 24.9160i | −0.442581 | + | 0.969118i | 0.548536 | + | 0.836127i | \(0.315185\pi\) |
−0.991117 | + | 0.132991i | \(0.957542\pi\) | |||||||
\(662\) | −5.71944 | − | 1.67938i | −0.222293 | − | 0.0652710i | ||||
\(663\) | 0.654929 | + | 1.43409i | 0.0254353 | + | 0.0556956i | ||||
\(664\) | 0.463288 | + | 3.22224i | 0.0179791 | + | 0.125047i | ||||
\(665\) | −5.42536 | − | 3.48667i | −0.210387 | − | 0.135207i | ||||
\(666\) | −2.11236 | −0.0818522 | ||||||||
\(667\) | 19.6029 | − | 5.70329i | 0.759029 | − | 0.220832i | ||||
\(668\) | 2.87765 | 0.111340 | ||||||||
\(669\) | 13.7714 | + | 8.85032i | 0.532432 | + | 0.342173i | ||||
\(670\) | −0.839244 | − | 5.83707i | −0.0324228 | − | 0.225506i | ||||
\(671\) | 0.864503 | + | 1.89300i | 0.0333738 | + | 0.0730783i | ||||
\(672\) | 0.959493 | + | 0.281733i | 0.0370132 | + | 0.0108681i | ||||
\(673\) | 0.472368 | − | 1.03434i | 0.0182085 | − | 0.0398710i | −0.900309 | − | 0.435251i | \(-0.856660\pi\) |
0.918518 | + | 0.395380i | \(0.129387\pi\) | |||||||
\(674\) | −7.98529 | + | 9.21551i | −0.307582 | + | 0.354968i | ||||
\(675\) | 0.937162 | − | 6.51810i | 0.0360714 | − | 0.250882i | ||||
\(676\) | 9.39925 | − | 2.75987i | 0.361509 | − | 0.106149i | ||||
\(677\) | 7.84058 | + | 9.04852i | 0.301338 | + | 0.347763i | 0.886144 | − | 0.463411i | \(-0.153375\pi\) |
−0.584805 | + | 0.811174i | \(0.698829\pi\) | |||||||
\(678\) | −15.4740 | + | 9.94456i | −0.594277 | + | 0.381918i | ||||
\(679\) | −2.09862 | + | 1.34870i | −0.0805375 | + | 0.0517583i | ||||
\(680\) | 1.96322 | + | 2.26568i | 0.0752860 | + | 0.0868847i | ||||
\(681\) | 15.6849 | − | 4.60550i | 0.601047 | − | 0.176483i | ||||
\(682\) | 0.171739 | − | 1.19447i | 0.00657621 | − | 0.0457386i | ||||
\(683\) | −1.60654 | + | 1.85404i | −0.0614724 | + | 0.0709429i | −0.785653 | − | 0.618668i | \(-0.787673\pi\) |
0.724180 | + | 0.689610i | \(0.242218\pi\) | |||||||
\(684\) | 0.787107 | − | 1.72352i | 0.0300958 | − | 0.0659005i | ||||
\(685\) | 33.7397 | + | 9.90686i | 1.28913 | + | 0.378522i | ||||
\(686\) | 0.415415 | + | 0.909632i | 0.0158606 | + | 0.0347299i | ||||
\(687\) | −4.11862 | − | 28.6456i | −0.157135 | − | 1.09290i | ||||
\(688\) | 4.73558 | + | 3.04337i | 0.180542 | + | 0.116027i | ||||
\(689\) | −2.68441 | −0.102268 | ||||||||
\(690\) | 16.3235 | + | 0.0403890i | 0.621425 | + | 0.00153758i | ||||
\(691\) | 11.4700 | 0.436341 | 0.218170 | − | 0.975911i | \(-0.429991\pi\) | ||||
0.218170 | + | 0.975911i | \(0.429991\pi\) | |||||||
\(692\) | 10.3553 | + | 6.65493i | 0.393649 | + | 0.252983i | ||||
\(693\) | −0.0409990 | − | 0.285154i | −0.00155742 | − | 0.0108321i | ||||
\(694\) | 13.3640 | + | 29.2632i | 0.507292 | + | 1.11082i | ||||
\(695\) | −59.0607 | − | 17.3418i | −2.24030 | − | 0.657811i | ||||
\(696\) | 1.76841 | − | 3.87228i | 0.0670315 | − | 0.146778i | ||||
\(697\) | 2.39941 | − | 2.76907i | 0.0908843 | − | 0.104886i | ||||
\(698\) | −1.49969 | + | 10.4306i | −0.0567641 | + | 0.394803i | ||||
\(699\) | −15.8646 | + | 4.65826i | −0.600054 | + | 0.176192i | ||||
\(700\) | −4.31234 | − | 4.97671i | −0.162991 | − | 0.188102i | ||||
\(701\) | −0.270476 | + | 0.173824i | −0.0102157 | + | 0.00656525i | −0.545739 | − | 0.837955i | \(-0.683751\pi\) |
0.535523 | + | 0.844521i | \(0.320115\pi\) | |||||||
\(702\) | 1.50581 | − | 0.967724i | 0.0568330 | − | 0.0365244i | ||||
\(703\) | 2.62101 | + | 3.02480i | 0.0988531 | + | 0.114083i | ||||
\(704\) | −0.276417 | + | 0.0811634i | −0.0104179 | + | 0.00305896i | ||||
\(705\) | −1.26518 | + | 8.79949i | −0.0476493 | + | 0.331408i | ||||
\(706\) | 21.6741 | − | 25.0132i | 0.815716 | − | 0.941386i | ||||
\(707\) | −2.05423 | + | 4.49813i | −0.0772571 | + | 0.169169i | ||||
\(708\) | 10.1189 | + | 2.97118i | 0.380292 | + | 0.111664i | ||||
\(709\) | −13.3237 | − | 29.1748i | −0.500381 | − | 1.09568i | −0.976345 | − | 0.216217i | \(-0.930628\pi\) |
0.475964 | − | 0.879465i | \(-0.342099\pi\) | |||||||
\(710\) | 0.947202 | + | 6.58793i | 0.0355479 | + | 0.247241i | ||||
\(711\) | 0.752748 | + | 0.483762i | 0.0282303 | + | 0.0181425i | ||||
\(712\) | 0.611224 | 0.0229066 | ||||||||
\(713\) | −16.9268 | + | 10.8191i | −0.633913 | + | 0.405178i | ||||
\(714\) | −0.880784 | −0.0329625 | ||||||||
\(715\) | 1.47653 | + | 0.948910i | 0.0552192 | + | 0.0354872i | ||||
\(716\) | 1.52785 | + | 10.6264i | 0.0570985 | + | 0.397128i | ||||
\(717\) | −6.33527 | − | 13.8723i | −0.236595 | − | 0.518071i | ||||
\(718\) | −26.3613 | − | 7.74037i | −0.983794 | − | 0.288868i | ||||
\(719\) | 2.75745 | − | 6.03796i | 0.102835 | − | 0.225178i | −0.851220 | − | 0.524810i | \(-0.824136\pi\) |
0.954055 | + | 0.299632i | \(0.0968638\pi\) | |||||||
\(720\) | 2.22895 | − | 2.57234i | 0.0830679 | − | 0.0958655i | ||||
\(721\) | 1.82119 | − | 12.6667i | 0.0678248 | − | 0.471732i | ||||
\(722\) | 14.7857 | − | 4.34148i | 0.550268 | − | 0.161573i | ||||
\(723\) | 4.41423 | + | 5.09429i | 0.164167 | + | 0.189459i | ||||
\(724\) | 18.3790 | − | 11.8115i | 0.683051 | − | 0.438970i | ||||
\(725\) | −23.5826 | + | 15.1556i | −0.875838 | + | 0.562867i | ||||
\(726\) | −7.14912 | − | 8.25052i | −0.265329 | − | 0.306206i | ||||
\(727\) | 13.1744 | − | 3.86836i | 0.488612 | − | 0.143469i | −0.0281411 | − | 0.999604i | \(-0.508959\pi\) |
0.516753 | + | 0.856135i | \(0.327141\pi\) | |||||||
\(728\) | 0.254737 | − | 1.77174i | 0.00944120 | − | 0.0656650i | ||||
\(729\) | −0.654861 | + | 0.755750i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | 11.5695 | − | 25.3336i | 0.428205 | − | 0.937638i | ||||
\(731\) | −4.75726 | − | 1.39686i | −0.175954 | − | 0.0516647i | ||||
\(732\) | −3.00084 | − | 6.57093i | −0.110914 | − | 0.242868i | ||||
\(733\) | 4.08822 | + | 28.4342i | 0.151002 | + | 1.05024i | 0.914545 | + | 0.404484i | \(0.132549\pi\) |
−0.763543 | + | 0.645757i | \(0.776542\pi\) | |||||||
\(734\) | −10.4023 | − | 6.68516i | −0.383956 | − | 0.246754i | ||||
\(735\) | 3.40369 | 0.125547 | ||||||||
\(736\) | 4.02808 | + | 2.60280i | 0.148477 | + | 0.0959404i | ||||
\(737\) | −0.499127 | −0.0183856 | ||||||||
\(738\) | −3.49956 | − | 2.24903i | −0.128821 | − | 0.0827880i | ||||
\(739\) | −2.57489 | − | 17.9088i | −0.0947189 | − | 0.658784i | −0.980766 | − | 0.195188i | \(-0.937468\pi\) |
0.886047 | − | 0.463596i | \(-0.153441\pi\) | |||||||
\(740\) | 2.98676 | + | 6.54009i | 0.109795 | + | 0.240419i | ||||
\(741\) | −3.25414 | − | 0.955500i | −0.119544 | − | 0.0351012i | ||||
\(742\) | 0.623001 | − | 1.36418i | 0.0228711 | − | 0.0500807i | ||||
\(743\) | 24.5986 | − | 28.3883i | 0.902435 | − | 1.04147i | −0.0965003 | − | 0.995333i | \(-0.530765\pi\) |
0.998935 | − | 0.0461326i | \(-0.0146897\pi\) | |||||||
\(744\) | −0.596135 | + | 4.14621i | −0.0218554 | + | 0.152008i | ||||
\(745\) | 48.8911 | − | 14.3557i | 1.79123 | − | 0.525953i | ||||
\(746\) | −13.3674 | − | 15.4267i | −0.489414 | − | 0.564813i | ||||
\(747\) | −2.73859 | + | 1.75999i | −0.100200 | + | 0.0643946i | ||||
\(748\) | 0.213461 | − | 0.137183i | 0.00780492 | − | 0.00501592i | ||||
\(749\) | −2.12129 | − | 2.44809i | −0.0775101 | − | 0.0894514i | ||||
\(750\) | −5.17676 | + | 1.52003i | −0.189028 | + | 0.0555037i | ||||
\(751\) | 3.06530 | − | 21.3196i | 0.111854 | − | 0.777963i | −0.854259 | − | 0.519847i | \(-0.825989\pi\) |
0.966114 | − | 0.258117i | \(-0.0831019\pi\) | |||||||
\(752\) | −1.71040 | + | 1.97391i | −0.0623720 | + | 0.0719812i | ||||
\(753\) | −2.66299 | + | 5.83114i | −0.0970448 | + | 0.212498i | ||||
\(754\) | −7.31115 | − | 2.14675i | −0.266256 | − | 0.0781799i | ||||
\(755\) | −4.16677 | − | 9.12396i | −0.151644 | − | 0.332055i | ||||
\(756\) | 0.142315 | + | 0.989821i | 0.00517594 | + | 0.0359995i | ||||
\(757\) | 21.2266 | + | 13.6415i | 0.771493 | + | 0.495808i | 0.866200 | − | 0.499697i | \(-0.166555\pi\) |
−0.0947076 | + | 0.995505i | \(0.530192\pi\) | |||||||
\(758\) | −26.7260 | −0.970733 | ||||||||
\(759\) | 0.200007 | − | 1.36706i | 0.00725981 | − | 0.0496212i | ||||
\(760\) | −6.44914 | −0.233935 | ||||||||
\(761\) | −4.78462 | − | 3.07489i | −0.173442 | − | 0.111465i | 0.451039 | − | 0.892504i | \(-0.351053\pi\) |
−0.624482 | + | 0.781039i | \(0.714690\pi\) | |||||||
\(762\) | 1.26308 | + | 8.78494i | 0.0457567 | + | 0.318245i | ||||
\(763\) | 0.687584 | + | 1.50560i | 0.0248922 | + | 0.0545064i | ||||
\(764\) | −2.56267 | − | 0.752467i | −0.0927141 | − | 0.0272233i | ||||
\(765\) | −1.24538 | + | 2.72700i | −0.0450268 | + | 0.0985950i | ||||
\(766\) | 4.68867 | − | 5.41101i | 0.169408 | − | 0.195508i | ||||
\(767\) | 2.68649 | − | 18.6849i | 0.0970034 | − | 0.674673i | ||||
\(768\) | 0.959493 | − | 0.281733i | 0.0346227 | − | 0.0101661i | ||||
\(769\) | −20.5934 | − | 23.7660i | −0.742616 | − | 0.857024i | 0.251215 | − | 0.967931i | \(-0.419170\pi\) |
−0.993831 | + | 0.110907i | \(0.964624\pi\) | |||||||
\(770\) | −0.824899 | + | 0.530130i | −0.0297273 | + | 0.0191046i | ||||
\(771\) | −18.3987 | + | 11.8242i | −0.662614 | + | 0.425836i | ||||
\(772\) | 4.70199 | + | 5.42638i | 0.169228 | + | 0.195300i | ||||
\(773\) | 13.9893 | − | 4.10763i | 0.503161 | − | 0.147741i | −0.0202952 | − | 0.999794i | \(-0.506461\pi\) |
0.523456 | + | 0.852053i | \(0.324642\pi\) | |||||||
\(774\) | −0.801118 | + | 5.57190i | −0.0287956 | + | 0.200278i | ||||
\(775\) | 18.0638 | − | 20.8467i | 0.648869 | − | 0.748835i | ||||
\(776\) | −1.03631 | + | 2.26919i | −0.0372012 | + | 0.0814593i | ||||
\(777\) | −2.02679 | − | 0.595120i | −0.0727108 | − | 0.0213498i | ||||
\(778\) | 4.00487 | + | 8.76945i | 0.143582 | + | 0.314400i | ||||
\(779\) | 1.12173 | + | 7.80180i | 0.0401901 | + | 0.279529i | ||||
\(780\) | −5.12531 | − | 3.29383i | −0.183515 | − | 0.117938i | ||||
\(781\) | 0.563333 | 0.0201576 | ||||||||
\(782\) | −4.05003 | − | 1.20009i | −0.144829 | − | 0.0429151i | ||||
\(783\) | 4.25698 | 0.152132 | ||||||||
\(784\) | 0.841254 | + | 0.540641i | 0.0300448 | + | 0.0193086i | ||||
\(785\) | −9.12784 | − | 63.4855i | −0.325786 | − | 2.26589i | ||||
\(786\) | 5.33151 | + | 11.6744i | 0.190169 | + | 0.416411i | ||||
\(787\) | −13.7857 | − | 4.04786i | −0.491408 | − | 0.144290i | 0.0266344 | − | 0.999645i | \(-0.491521\pi\) |
−0.518043 | + | 0.855355i | \(0.673339\pi\) | |||||||
\(788\) | 4.18472 | − | 9.16326i | 0.149074 | − | 0.326428i | ||||
\(789\) | −16.0411 | + | 18.5124i | −0.571077 | + | 0.659058i | ||||
\(790\) | 0.433435 | − | 3.01460i | 0.0154209 | − | 0.107255i | ||||
\(791\) | −17.6489 | + | 5.18219i | −0.627524 | + | 0.184258i | ||||
\(792\) | −0.188657 | − | 0.217721i | −0.00670362 | − | 0.00773639i | ||||
\(793\) | −10.8775 | + | 6.99057i | −0.386272 | + | 0.248242i | ||||
\(794\) | −26.3967 | + | 16.9641i | −0.936783 | + | 0.602034i | ||||
\(795\) | −3.34277 | − | 3.85776i | −0.118556 | − | 0.136821i | ||||
\(796\) | 13.0855 | − | 3.84225i | 0.463803 | − | 0.136185i | ||||
\(797\) | 4.09813 | − | 28.5031i | 0.145163 | − | 1.00963i | −0.778833 | − | 0.627231i | \(-0.784188\pi\) |
0.923996 | − | 0.382401i | \(-0.124903\pi\) | |||||||
\(798\) | 1.24080 | − | 1.43195i | 0.0439237 | − | 0.0506906i | ||||
\(799\) | 0.955656 | − | 2.09259i | 0.0338087 | − | 0.0740307i | ||||
\(800\) | −6.31839 | − | 1.85525i | −0.223389 | − | 0.0655929i | ||||
\(801\) | 0.253912 | + | 0.555989i | 0.00897153 | + | 0.0196449i | ||||
\(802\) | −1.71973 | − | 11.9610i | −0.0607257 | − | 0.422356i | ||||
\(803\) | −1.98304 | − | 1.27442i | −0.0699798 | − | 0.0449733i | ||||
\(804\) | 1.73256 | 0.0611026 | ||||||||
\(805\) | 15.6509 | + | 4.63761i | 0.551622 | + | 0.163454i | ||||
\(806\) | 7.49786 | 0.264101 | ||||||||
\(807\) | −15.5256 | − | 9.97769i | −0.546527 | − | 0.351231i | ||||
\(808\) | 0.703746 | + | 4.89466i | 0.0247577 | + | 0.172194i | ||||
\(809\) | 2.50322 | + | 5.48130i | 0.0880087 | + | 0.192712i | 0.948519 | − | 0.316722i | \(-0.102582\pi\) |
−0.860510 | + | 0.509434i | \(0.829855\pi\) | |||||||
\(810\) | 3.26582 | + | 0.958931i | 0.114749 | + | 0.0336934i | ||||
\(811\) | 17.6855 | − | 38.7259i | 0.621022 | − | 1.35985i | −0.293751 | − | 0.955882i | \(-0.594904\pi\) |
0.914774 | − | 0.403967i | \(-0.132369\pi\) | |||||||
\(812\) | 2.78773 | − | 3.21721i | 0.0978300 | − | 0.112902i | ||||
\(813\) | −1.19203 | + | 8.29077i | −0.0418064 | + | 0.290770i | ||||
\(814\) | 0.583892 | − | 0.171446i | 0.0204654 | − | 0.00600919i | ||||
\(815\) | 17.4509 | + | 20.1394i | 0.611279 | + | 0.705454i | ||||
\(816\) | −0.740962 | + | 0.476188i | −0.0259389 | + | 0.0166699i | ||||
\(817\) | 8.97272 | − | 5.76642i | 0.313916 | − | 0.201741i | ||||
\(818\) | −2.72311 | − | 3.14263i | −0.0952111 | − | 0.109880i | ||||
\(819\) | 1.71745 | − | 0.504289i | 0.0600126 | − | 0.0176213i | ||||
\(820\) | −2.01506 | + | 14.0150i | −0.0703689 | + | 0.489426i | ||||
\(821\) | −28.1843 | + | 32.5264i | −0.983639 | + | 1.13518i | 0.00717846 | + | 0.999974i | \(0.497715\pi\) |
−0.990818 | + | 0.135206i | \(0.956830\pi\) | |||||||
\(822\) | −4.29171 | + | 9.39754i | −0.149691 | + | 0.327777i | ||||
\(823\) | −14.1848 | − | 4.16502i | −0.494449 | − | 0.145183i | 0.0249952 | − | 0.999688i | \(-0.492043\pi\) |
−0.519445 | + | 0.854504i | \(0.673861\pi\) | |||||||
\(824\) | −5.31604 | − | 11.6405i | −0.185193 | − | 0.405516i | ||||
\(825\) | 0.269984 | + | 1.87778i | 0.00939963 | + | 0.0653759i | ||||
\(826\) | 8.87194 | + | 5.70165i | 0.308694 | + | 0.198386i | ||||
\(827\) | 41.0400 | 1.42710 | 0.713550 | − | 0.700604i | \(-0.247086\pi\) | ||||
0.713550 | + | 0.700604i | \(0.247086\pi\) | |||||||
\(828\) | −0.694261 | + | 4.74531i | −0.0241272 | + | 0.164911i | ||||
\(829\) | 34.2629 | 1.19000 | 0.595000 | − | 0.803726i | \(-0.297152\pi\) | ||||
0.595000 | + | 0.803726i | \(0.297152\pi\) | |||||||
\(830\) | 9.32134 | + | 5.99046i | 0.323548 | + | 0.207932i | ||||
\(831\) | 1.00680 | + | 7.00247i | 0.0349256 | + | 0.242913i | ||||
\(832\) | −0.743575 | − | 1.62820i | −0.0257788 | − | 0.0564477i | ||||
\(833\) | −0.845106 | − | 0.248145i | −0.0292812 | − | 0.00859773i | ||||
\(834\) | 7.51257 | − | 16.4502i | 0.260139 | − | 0.569625i | ||||
\(835\) | 6.41413 | − | 7.40230i | 0.221970 | − | 0.256167i | ||||
\(836\) | −0.0776828 | + | 0.540296i | −0.00268671 | + | 0.0186865i | ||||
\(837\) | −4.01917 | + | 1.18014i | −0.138923 | + | 0.0407914i | ||||
\(838\) | −18.8712 | − | 21.7785i | −0.651895 | − | 0.752327i | ||||
\(839\) | −22.5201 | + | 14.4728i | −0.777481 | + | 0.499657i | −0.868197 | − | 0.496220i | \(-0.834721\pi\) |
0.0907154 | + | 0.995877i | \(0.471085\pi\) | |||||||
\(840\) | 2.86337 | − | 1.84018i | 0.0987956 | − | 0.0634921i | ||||
\(841\) | 7.12368 | + | 8.22116i | 0.245644 | + | 0.283488i | ||||
\(842\) | −1.32787 | + | 0.389897i | −0.0457613 | + | 0.0134367i | ||||
\(843\) | 1.66538 | − | 11.5830i | 0.0573587 | − | 0.398939i | ||||
\(844\) | 11.1282 | − | 12.8426i | 0.383049 | − | 0.442062i | ||||
\(845\) | 13.8511 | − | 30.3297i | 0.476492 | − | 1.04337i | ||||
\(846\) | −2.50606 | − | 0.735846i | −0.0861602 | − | 0.0252989i | ||||
\(847\) | −4.53509 | − | 9.93046i | −0.155827 | − | 0.341215i | ||||
\(848\) | −0.213431 | − | 1.48444i | −0.00732924 | − | 0.0509760i | ||||
\(849\) | −26.7220 | − | 17.1732i | −0.917096 | − | 0.589382i | ||||
\(850\) | 5.80008 | 0.198941 | ||||||||
\(851\) | −8.50875 | − | 5.49804i | −0.291676 | − | 0.188470i | ||||
\(852\) | −1.95543 | −0.0669919 | ||||||||
\(853\) | 2.74828 | + | 1.76621i | 0.0940993 | + | 0.0604739i | 0.586844 | − | 0.809700i | \(-0.300370\pi\) |
−0.492745 | + | 0.870174i | \(0.664006\pi\) | |||||||
\(854\) | −1.02804 | − | 7.15019i | −0.0351789 | − | 0.244675i | ||||
\(855\) | −2.67907 | − | 5.86634i | −0.0916223 | − | 0.200625i | ||||
\(856\) | −3.10808 | − | 0.912614i | −0.106232 | − | 0.0311925i | ||||
\(857\) | 19.1113 | − | 41.8478i | 0.652828 | − | 1.42949i | −0.236229 | − | 0.971697i | \(-0.575912\pi\) |
0.889057 | − | 0.457797i | \(-0.151361\pi\) | |||||||
\(858\) | −0.337687 | + | 0.389712i | −0.0115285 | + | 0.0133045i | ||||
\(859\) | −3.08837 | + | 21.4801i | −0.105374 | + | 0.732890i | 0.866805 | + | 0.498648i | \(0.166170\pi\) |
−0.972178 | + | 0.234242i | \(0.924739\pi\) | |||||||
\(860\) | 18.3839 | − | 5.39801i | 0.626887 | − | 0.184071i | ||||
\(861\) | −2.72418 | − | 3.14387i | −0.0928398 | − | 0.107143i | ||||
\(862\) | −22.1459 | + | 14.2323i | −0.754291 | + | 0.484753i | ||||
\(863\) | −41.2071 | + | 26.4822i | −1.40271 | + | 0.901465i | −0.999904 | − | 0.0138214i | \(-0.995600\pi\) |
−0.402803 | + | 0.915287i | \(0.631964\pi\) | |||||||
\(864\) | 0.654861 | + | 0.755750i | 0.0222788 | + | 0.0257111i | ||||
\(865\) | 40.2001 | − | 11.8038i | 1.36684 | − | 0.401342i | ||||
\(866\) | 4.58316 | − | 31.8766i | 0.155742 | − | 1.08321i | ||||
\(867\) | −10.6246 | + | 12.2614i | −0.360830 | + | 0.416421i | ||||
\(868\) | −1.74011 | + | 3.81031i | −0.0590632 | + | 0.129330i | ||||
\(869\) | −0.247336 | − | 0.0726245i | −0.00839031 | − | 0.00246362i | ||||
\(870\) | −6.01913 | − | 13.1801i | −0.204068 | − | 0.446846i | ||||
\(871\) | −0.441347 | − | 3.06964i | −0.0149545 | − | 0.104011i | ||||
\(872\) | 1.39242 | + | 0.894855i | 0.0471533 | + | 0.0303036i | ||||
\(873\) | −2.49463 | −0.0844304 | ||||||||
\(874\) | 7.65651 | − | 4.89381i | 0.258985 | − | 0.165536i | ||||
\(875\) | −5.39530 | −0.182395 | ||||||||
\(876\) | 6.88347 | + | 4.42374i | 0.232571 | + | 0.149464i | ||||
\(877\) | 6.79728 | + | 47.2761i | 0.229528 | + | 1.59640i | 0.700103 | + | 0.714042i | \(0.253137\pi\) |
−0.470575 | + | 0.882360i | \(0.655954\pi\) | |||||||
\(878\) | 5.39378 | + | 11.8107i | 0.182031 | + | 0.398593i | ||||
\(879\) | −7.62790 | − | 2.23975i | −0.257283 | − | 0.0755450i | ||||
\(880\) | −0.407339 | + | 0.891948i | −0.0137314 | + | 0.0300676i | ||||
\(881\) | 17.0616 | − | 19.6902i | 0.574821 | − | 0.663379i | −0.391662 | − | 0.920109i | \(-0.628100\pi\) |
0.966483 | + | 0.256731i | \(0.0826453\pi\) | |||||||
\(882\) | −0.142315 | + | 0.989821i | −0.00479199 | + | 0.0333290i | ||||
\(883\) | 29.1397 | − | 8.55620i | 0.980630 | − | 0.287939i | 0.248146 | − | 0.968723i | \(-0.420179\pi\) |
0.732484 | + | 0.680784i | \(0.238361\pi\) | |||||||
\(884\) | 1.03243 | + | 1.19149i | 0.0347244 | + | 0.0400741i | ||||
\(885\) | 30.1974 | − | 19.4067i | 1.01507 | − | 0.652348i | ||||
\(886\) | −31.7287 | + | 20.3908i | −1.06595 | + | 0.685041i | ||||
\(887\) | 26.4958 | + | 30.5777i | 0.889641 | + | 1.02670i | 0.999464 | + | 0.0327488i | \(0.0104261\pi\) |
−0.109823 | + | 0.993951i | \(0.535028\pi\) | |||||||
\(888\) | −2.02679 | + | 0.595120i | −0.0680147 | + | 0.0199709i | ||||
\(889\) | −1.26308 | + | 8.78494i | −0.0423625 | + | 0.294637i | ||||
\(890\) | 1.36239 | − | 1.57228i | 0.0456673 | − | 0.0527028i | ||||
\(891\) | 0.119676 | − | 0.262053i | 0.00400928 | − | 0.00877910i | ||||
\(892\) | 15.7070 | + | 4.61198i | 0.525908 | + | 0.154420i | ||||
\(893\) | 2.05581 | + | 4.50160i | 0.0687951 | + | 0.150640i | ||||
\(894\) | 2.13053 | + | 14.8182i | 0.0712556 | + | 0.495594i | ||||
\(895\) | 30.7403 | + | 19.7556i | 1.02753 | + | 0.660357i | ||||
\(896\) | 1.00000 | 0.0334077 | ||||||||
\(897\) | 8.58430 | + | 0.0212400i | 0.286622 | + | 0.000709184i | ||||
\(898\) | −9.28862 | −0.309965 | ||||||||
\(899\) | 15.0011 | + | 9.64062i | 0.500314 | + | 0.321533i | ||||
\(900\) | −0.937162 | − | 6.51810i | −0.0312387 | − | 0.217270i | ||||
\(901\) | 0.548729 | + | 1.20155i | 0.0182808 | + | 0.0400294i | ||||
\(902\) | 1.14988 | + | 0.337635i | 0.0382868 | + | 0.0112420i | ||||
\(903\) | −2.33845 | + | 5.12049i | −0.0778188 | + | 0.170399i | ||||
\(904\) | −12.0455 | + | 13.9013i | −0.400628 | + | 0.462350i | ||||
\(905\) | 10.5827 | − | 73.6043i | 0.351781 | − | 2.44669i | ||||
\(906\) | 2.82754 | − | 0.830241i | 0.0939388 | − | 0.0275829i | ||||
\(907\) | −8.28018 | − | 9.55584i | −0.274939 | − | 0.317296i | 0.601441 | − | 0.798917i | \(-0.294594\pi\) |
−0.876380 | + | 0.481621i | \(0.840048\pi\) | |||||||
\(908\) | 13.7520 | − | 8.83789i | 0.456377 | − | 0.293296i | ||||
\(909\) | −4.15999 | + | 2.67347i | −0.137978 | + | 0.0886733i | ||||
\(910\) | −3.98972 | − | 4.60438i | −0.132258 | − | 0.152634i | ||||
\(911\) | −15.0727 | + | 4.42575i | −0.499382 | + | 0.146632i | −0.521717 | − | 0.853119i | \(-0.674708\pi\) |
0.0223348 | + | 0.999751i | \(0.492890\pi\) | |||||||
\(912\) | 0.269651 | − | 1.87546i | 0.00892903 | − | 0.0621027i | ||||
\(913\) | 0.614148 | − | 0.708764i | 0.0203253 | − | 0.0234567i | ||||
\(914\) | −3.99846 | + | 8.75540i | −0.132257 | + | 0.289603i | ||||
\(915\) | −23.5914 | − | 6.92705i | −0.779907 | − | 0.229001i | ||||
\(916\) | −12.0222 | − | 26.3249i | −0.397224 | − | 0.869799i | ||||
\(917\) | 1.82649 | + | 12.7035i | 0.0603162 | + | 0.419508i | ||||
\(918\) | −0.740962 | − | 0.476188i | −0.0244554 | − | 0.0157165i | ||||
\(919\) | −34.7828 | −1.14738 | −0.573689 | − | 0.819073i | \(-0.694488\pi\) | ||||
−0.573689 | + | 0.819073i | \(0.694488\pi\) | |||||||
\(920\) | 15.6737 | − | 4.56011i | 0.516745 | − | 0.150342i | ||||
\(921\) | 1.10738 | 0.0364894 | ||||||||
\(922\) | −11.7482 | − | 7.55012i | −0.386907 | − | 0.248650i | ||||
\(923\) | 0.498121 | + | 3.46451i | 0.0163958 | + | 0.114036i | ||||
\(924\) | −0.119676 | − | 0.262053i | −0.00393704 | − | 0.00862091i | ||||
\(925\) | 13.3467 | + | 3.91894i | 0.438837 | + | 0.128854i | ||||
\(926\) | 0.217304 | − | 0.475830i | 0.00714106 | − | 0.0156367i | ||||
\(927\) | 8.38022 | − | 9.67128i | 0.275242 | − | 0.317647i | ||||
\(928\) | 0.605831 | − | 4.21365i | 0.0198874 | − | 0.138320i | ||||
\(929\) | −35.3937 | + | 10.3925i | −1.16123 | + | 0.340968i | −0.804910 | − | 0.593397i | \(-0.797786\pi\) |
−0.356319 | + | 0.934364i | \(0.615968\pi\) | |||||||
\(930\) | 9.33672 | + | 10.7751i | 0.306163 | + | 0.353331i | ||||
\(931\) | 1.59396 | − | 1.02438i | 0.0522400 | − | 0.0335726i | ||||
\(932\) | −13.9096 | + | 8.93914i | −0.455623 | + | 0.292811i | ||||
\(933\) | −2.93787 | − | 3.39048i | −0.0961815 | − | 0.110999i | ||||
\(934\) | 27.3278 | − | 8.02417i | 0.894193 | − | 0.262559i | ||||
\(935\) | 0.122912 | − | 0.854870i | 0.00401964 | − | 0.0279572i | ||||
\(936\) | 1.17217 | − | 1.35276i | 0.0383137 | − | 0.0442163i | ||||
\(937\) | 8.93346 | − | 19.5616i | 0.291844 | − | 0.639048i | −0.705744 | − | 0.708467i | \(-0.749387\pi\) |
0.997588 | + | 0.0694186i | \(0.0221144\pi\) | |||||||
\(938\) | 1.66238 | + | 0.488118i | 0.0542785 | + | 0.0159376i | ||||
\(939\) | −11.5641 | − | 25.3217i | −0.377379 | − | 0.826344i | ||||
\(940\) | 1.26518 | + | 8.79949i | 0.0412655 | + | 0.287008i | ||||
\(941\) | 0.721025 | + | 0.463375i | 0.0235047 | + | 0.0151056i | 0.552340 | − | 0.833619i | \(-0.313735\pi\) |
−0.528836 | + | 0.848724i | \(0.677371\pi\) | |||||||
\(942\) | 18.8437 | 0.613962 | ||||||||
\(943\) | −8.24275 | − | 18.1679i | −0.268421 | − | 0.591629i | ||||
\(944\) | 10.5461 | 0.343246 | ||||||||
\(945\) | 2.86337 | + | 1.84018i | 0.0931454 | + | 0.0598609i | ||||
\(946\) | −0.230791 | − | 1.60519i | −0.00750367 | − | 0.0521892i | ||||
\(947\) | 2.10128 | + | 4.60117i | 0.0682825 | + | 0.149518i | 0.940696 | − | 0.339251i | \(-0.110173\pi\) |
−0.872413 | + | 0.488769i | \(0.837446\pi\) | |||||||
\(948\) | 0.858548 | + | 0.252093i | 0.0278844 | + | 0.00818758i | ||||
\(949\) | 6.08423 | − | 13.3226i | 0.197502 | − | 0.432470i | ||||
\(950\) | −8.17080 | + | 9.42961i | −0.265096 | + | 0.305937i | ||||
\(951\) | −2.25705 | + | 15.6981i | −0.0731897 | + | 0.509046i | ||||
\(952\) | −0.845106 | + | 0.248145i | −0.0273900 | + | 0.00804244i | ||||
\(953\) | −21.7370 | − | 25.0858i | −0.704130 | − | 0.812610i | 0.285174 | − | 0.958476i | \(-0.407949\pi\) |
−0.989304 | + | 0.145866i | \(0.953403\pi\) | |||||||
\(954\) | 1.26163 | − | 0.810803i | 0.0408469 | − | 0.0262507i | ||||
\(955\) | −7.64765 | + | 4.91485i | −0.247472 | + | 0.159041i | ||||
\(956\) | −9.98692 | − | 11.5255i | −0.323000 | − | 0.372762i | ||||
\(957\) | −1.17670 | + | 0.345511i | −0.0380374 | + | 0.0111688i | ||||
\(958\) | −1.04073 | + | 7.23847i | −0.0336246 | + | 0.233864i | ||||
\(959\) | −6.76546 | + | 7.80776i | −0.218468 | + | 0.252126i | ||||
\(960\) | 1.41395 | − | 3.09611i | 0.0456349 | − | 0.0999265i | ||||
\(961\) | 12.9086 | + | 3.79030i | 0.416406 | + | 0.122268i | ||||
\(962\) | 1.57070 | + | 3.43935i | 0.0506413 | + | 0.110889i | ||||
\(963\) | −0.460999 | − | 3.20632i | −0.0148555 | − | 0.103322i | ||||
\(964\) | 5.67065 | + | 3.64431i | 0.182639 | + | 0.117375i | ||||
\(965\) | 24.4390 | 0.786718 | ||||||||
\(966\) | −2.00305 | + | 4.35750i | −0.0644470 | + | 0.140200i | ||||
\(967\) | −25.8921 | −0.832634 | −0.416317 | − | 0.909220i | \(-0.636679\pi\) | ||||
−0.416317 | + | 0.909220i | \(0.636679\pi\) | |||||||
\(968\) | −9.18397 | − | 5.90218i | −0.295184 | − | 0.189703i | ||||
\(969\) | 0.237504 | + | 1.65188i | 0.00762973 | + | 0.0530659i | ||||
\(970\) | 3.52727 | + | 7.72364i | 0.113254 | + | 0.247991i | ||||
\(971\) | −16.1980 | − | 4.75616i | −0.519819 | − | 0.152633i | 0.0112899 | − | 0.999936i | \(-0.496406\pi\) |
−0.531109 | + | 0.847304i | \(0.678224\pi\) | |||||||
\(972\) | −0.415415 | + | 0.909632i | −0.0133244 | + | 0.0291765i | ||||
\(973\) | 11.8428 | − | 13.6673i | 0.379663 | − | 0.438155i | ||||
\(974\) | −1.31364 | + | 9.13654i | −0.0420916 | + | 0.292754i | ||||
\(975\) | −11.3096 | + | 3.32081i | −0.362198 | + | 0.106351i | ||||
\(976\) | −4.73053 | − | 5.45932i | −0.151421 | − | 0.174749i | ||||
\(977\) | 1.63316 | − | 1.04957i | 0.0522493 | − | 0.0335786i | −0.514255 | − | 0.857637i | \(-0.671932\pi\) |
0.566505 | + | 0.824059i | \(0.308295\pi\) | |||||||
\(978\) | −6.58637 | + | 4.23280i | −0.210609 | + | 0.135350i | ||||
\(979\) | −0.115312 | − | 0.133077i | −0.00368537 | − | 0.00425315i | ||||
\(980\) | 3.26582 | − | 0.958931i | 0.104323 | − | 0.0306319i | ||||
\(981\) | −0.235556 | + | 1.63833i | −0.00752072 | + | 0.0523078i | ||||
\(982\) | 14.5306 | − | 16.7692i | 0.463689 | − | 0.535126i | ||||
\(983\) | −14.1874 | + | 31.0662i | −0.452509 | + | 0.990857i | 0.536622 | + | 0.843823i | \(0.319700\pi\) |
−0.989131 | + | 0.147035i | \(0.953027\pi\) | |||||||
\(984\) | −3.99143 | − | 1.17199i | −0.127242 | − | 0.0373617i | ||||
\(985\) | −14.2435 | − | 31.1889i | −0.453836 | − | 0.993762i | ||||
\(986\) | 0.533606 | + | 3.71131i | 0.0169935 | + | 0.118192i | ||||
\(987\) | −2.19724 | − | 1.41208i | −0.0699388 | − | 0.0449470i | ||||
\(988\) | −3.39152 | −0.107898 | ||||||||
\(989\) | −17.7295 | + | 20.3589i | −0.563765 | + | 0.647376i | ||||
\(990\) | −0.980559 | −0.0311642 | ||||||||
\(991\) | 24.0776 | + | 15.4737i | 0.764850 | + | 0.491539i | 0.863974 | − | 0.503536i | \(-0.167968\pi\) |
−0.0991242 | + | 0.995075i | \(0.531604\pi\) | |||||||
\(992\) | 0.596135 | + | 4.14621i | 0.0189273 | + | 0.131642i | ||||
\(993\) | −2.47625 | − | 5.42223i | −0.0785814 | − | 0.172069i | ||||
\(994\) | −1.87622 | − | 0.550908i | −0.0595101 | − | 0.0174737i | ||||
\(995\) | 19.2833 | − | 42.2245i | 0.611321 | − | 1.33861i | ||||
\(996\) | −2.13182 | + | 2.46025i | −0.0675492 | + | 0.0779559i | ||||
\(997\) | 4.51674 | − | 31.4146i | 0.143046 | − | 0.994910i | −0.784213 | − | 0.620491i | \(-0.786933\pi\) |
0.927260 | − | 0.374419i | \(-0.122158\pi\) | |||||||
\(998\) | −8.02219 | + | 2.35553i | −0.253938 | + | 0.0745629i | ||||
\(999\) | −1.38330 | − | 1.59641i | −0.0437657 | − | 0.0505083i |
(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.d.715.2 | yes | 20 | |
23.12 | even | 11 | inner | 966.2.q.d.127.2 | ✓ | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.q.d.127.2 | ✓ | 20 | 23.12 | even | 11 | inner | |
966.2.q.d.715.2 | yes | 20 | 1.1 | even | 1 | trivial |