Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(95,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 20, 21]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.95");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.bc (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 107.2 | ||
Character | \(\chi\) | \(=\) | 462.107 |
Dual form | 462.2.bc.a.95.2 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.104528 | + | 0.994522i | 0.0739128 | + | 0.703233i | ||||
\(3\) | −1.63004 | − | 0.585637i | −0.941104 | − | 0.338117i | ||||
\(4\) | −0.978148 | + | 0.207912i | −0.489074 | + | 0.103956i | ||||
\(5\) | 0.112013 | + | 0.251585i | 0.0500936 | + | 0.112512i | 0.936858 | − | 0.349709i | \(-0.113719\pi\) |
−0.886765 | + | 0.462221i | \(0.847053\pi\) | |||||||
\(6\) | 0.412043 | − | 1.68233i | 0.168216 | − | 0.686807i | ||||
\(7\) | −2.57741 | + | 0.597448i | −0.974170 | + | 0.225814i | ||||
\(8\) | −0.309017 | − | 0.951057i | −0.109254 | − | 0.336249i | ||||
\(9\) | 2.31406 | + | 1.90922i | 0.771353 | + | 0.636407i | ||||
\(10\) | −0.238498 | + | 0.137697i | −0.0754196 | + | 0.0435435i | ||||
\(11\) | 0.877660 | − | 3.19839i | 0.264624 | − | 0.964352i | ||||
\(12\) | 1.71618 | + | 0.233935i | 0.495419 | + | 0.0675311i | ||||
\(13\) | 0.376661 | + | 0.518429i | 0.104467 | + | 0.143786i | 0.858050 | − | 0.513567i | \(-0.171676\pi\) |
−0.753583 | + | 0.657353i | \(0.771676\pi\) | |||||||
\(14\) | −0.863588 | − | 2.50084i | −0.230804 | − | 0.668378i | ||||
\(15\) | −0.0352480 | − | 0.475691i | −0.00910099 | − | 0.122823i | ||||
\(16\) | 0.913545 | − | 0.406737i | 0.228386 | − | 0.101684i | ||||
\(17\) | 0.638932 | − | 6.07903i | 0.154964 | − | 1.47438i | −0.590069 | − | 0.807353i | \(-0.700899\pi\) |
0.745032 | − | 0.667028i | \(-0.232434\pi\) | |||||||
\(18\) | −1.65688 | + | 2.50095i | −0.390530 | + | 0.589480i | ||||
\(19\) | 0.228950 | − | 1.07712i | 0.0525247 | − | 0.247109i | −0.944051 | − | 0.329801i | \(-0.893018\pi\) |
0.996575 | + | 0.0826918i | \(0.0263517\pi\) | |||||||
\(20\) | −0.161872 | − | 0.222798i | −0.0361957 | − | 0.0498192i | ||||
\(21\) | 4.55117 | + | 0.535564i | 0.993147 | + | 0.116870i | ||||
\(22\) | 3.27261 | + | 0.538529i | 0.697723 | + | 0.114815i | ||||
\(23\) | 1.05359 | + | 0.608290i | 0.219689 | + | 0.126837i | 0.605806 | − | 0.795612i | \(-0.292851\pi\) |
−0.386117 | + | 0.922450i | \(0.626184\pi\) | |||||||
\(24\) | −0.0532635 | + | 1.73123i | −0.0108724 | + | 0.353386i | ||||
\(25\) | 3.29491 | − | 3.65936i | 0.658981 | − | 0.731873i | ||||
\(26\) | −0.476217 | + | 0.428788i | −0.0933939 | + | 0.0840922i | ||||
\(27\) | −2.65390 | − | 4.46731i | −0.510743 | − | 0.859733i | ||||
\(28\) | 2.39687 | − | 1.12027i | 0.452967 | − | 0.211710i | ||||
\(29\) | 2.73094 | − | 8.40497i | 0.507123 | − | 1.56076i | −0.290049 | − | 0.957012i | \(-0.593672\pi\) |
0.797172 | − | 0.603752i | \(-0.206328\pi\) | |||||||
\(30\) | 0.469401 | − | 0.0847782i | 0.0857005 | − | 0.0154783i | ||||
\(31\) | −4.57176 | − | 2.03548i | −0.821113 | − | 0.365583i | −0.0472080 | − | 0.998885i | \(-0.515032\pi\) |
−0.773905 | + | 0.633302i | \(0.781699\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | −3.30372 | + | 4.69952i | −0.575103 | + | 0.818081i | ||||
\(34\) | 6.11252 | 1.04829 | ||||||||
\(35\) | −0.439011 | − | 0.581515i | −0.0742065 | − | 0.0982940i | ||||
\(36\) | −2.66044 | − | 1.38638i | −0.443407 | − | 0.231063i | ||||
\(37\) | 4.83899 | + | 5.37424i | 0.795524 | + | 0.883519i | 0.995351 | − | 0.0963120i | \(-0.0307047\pi\) |
−0.199827 | + | 0.979831i | \(0.564038\pi\) | |||||||
\(38\) | 1.09515 | + | 0.115105i | 0.177658 | + | 0.0186726i | ||||
\(39\) | −0.310361 | − | 1.06565i | −0.0496975 | − | 0.170640i | ||||
\(40\) | 0.204657 | − | 0.184274i | 0.0323592 | − | 0.0291363i | ||||
\(41\) | −0.939549 | − | 2.89164i | −0.146733 | − | 0.451598i | 0.850497 | − | 0.525980i | \(-0.176301\pi\) |
−0.997230 | + | 0.0743826i | \(0.976301\pi\) | |||||||
\(42\) | −0.0569028 | + | 4.58222i | −0.00878029 | + | 0.707052i | ||||
\(43\) | − | 1.12509i | − | 0.171575i | −0.996313 | − | 0.0857877i | \(-0.972659\pi\) | ||
0.996313 | − | 0.0857877i | \(-0.0273407\pi\) | |||||||
\(44\) | −0.193498 | + | 3.31098i | −0.0291709 | + | 0.499148i | ||||
\(45\) | −0.221127 | + | 0.796039i | −0.0329636 | + | 0.118666i | ||||
\(46\) | −0.494828 | + | 1.11140i | −0.0729584 | + | 0.163867i | ||||
\(47\) | −0.496136 | + | 2.33414i | −0.0723689 | + | 0.340469i | −0.999405 | − | 0.0345044i | \(-0.989015\pi\) |
0.927036 | + | 0.374973i | \(0.122348\pi\) | |||||||
\(48\) | −1.72732 | + | 0.127991i | −0.249316 | + | 0.0184739i | ||||
\(49\) | 6.28611 | − | 3.07974i | 0.898016 | − | 0.439963i | ||||
\(50\) | 3.98373 | + | 2.89435i | 0.563384 | + | 0.409323i | ||||
\(51\) | −4.60159 | + | 9.53488i | −0.644351 | + | 1.33515i | ||||
\(52\) | −0.476217 | − | 0.428788i | −0.0660395 | − | 0.0594622i | ||||
\(53\) | −3.33385 | + | 7.48795i | −0.457940 | + | 1.02855i | 0.526071 | + | 0.850441i | \(0.323665\pi\) |
−0.984011 | + | 0.178109i | \(0.943002\pi\) | |||||||
\(54\) | 4.16543 | − | 3.10632i | 0.566843 | − | 0.422717i | ||||
\(55\) | 0.902975 | − | 0.137455i | 0.121757 | − | 0.0185344i | ||||
\(56\) | 1.36467 | + | 2.26664i | 0.182362 | + | 0.302893i | ||||
\(57\) | −1.00400 | + | 1.62167i | −0.132983 | + | 0.214796i | ||||
\(58\) | 8.64439 | + | 1.83742i | 1.13506 | + | 0.241265i | ||||
\(59\) | −1.83954 | − | 8.65435i | −0.239487 | − | 1.12670i | −0.919375 | − | 0.393383i | \(-0.871305\pi\) |
0.679887 | − | 0.733317i | \(-0.262029\pi\) | |||||||
\(60\) | 0.133380 | + | 0.457968i | 0.0172192 | + | 0.0591234i | ||||
\(61\) | −1.80155 | − | 4.04635i | −0.230665 | − | 0.518082i | 0.760717 | − | 0.649084i | \(-0.224847\pi\) |
−0.991382 | + | 0.131001i | \(0.958181\pi\) | |||||||
\(62\) | 1.54645 | − | 4.75948i | 0.196399 | − | 0.604455i | ||||
\(63\) | −7.10495 | − | 3.53832i | −0.895139 | − | 0.445787i | ||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | −0.0882380 | + | 0.152833i | −0.0109446 | + | 0.0189566i | ||||
\(66\) | −5.01910 | − | 2.79438i | −0.617809 | − | 0.343965i | ||||
\(67\) | −5.31001 | − | 9.19720i | −0.648721 | − | 1.12362i | −0.983429 | − | 0.181295i | \(-0.941971\pi\) |
0.334708 | − | 0.942322i | \(-0.391362\pi\) | |||||||
\(68\) | 0.638932 | + | 6.07903i | 0.0774819 | + | 0.737191i | ||||
\(69\) | −1.36116 | − | 1.60856i | −0.163864 | − | 0.193648i | ||||
\(70\) | 0.532441 | − | 0.497391i | 0.0636388 | − | 0.0594496i | ||||
\(71\) | −6.62602 | + | 9.11993i | −0.786363 | + | 1.08234i | 0.208188 | + | 0.978089i | \(0.433243\pi\) |
−0.994551 | + | 0.104248i | \(0.966757\pi\) | |||||||
\(72\) | 1.10069 | − | 2.79078i | 0.129718 | − | 0.328897i | ||||
\(73\) | 2.37065 | + | 11.1530i | 0.277464 | + | 1.30536i | 0.867277 | + | 0.497825i | \(0.165868\pi\) |
−0.589813 | + | 0.807540i | \(0.700799\pi\) | |||||||
\(74\) | −4.83899 | + | 5.37424i | −0.562521 | + | 0.624742i | ||||
\(75\) | −7.51388 | + | 4.03529i | −0.867629 | + | 0.465955i | ||||
\(76\) | 1.10119i | 0.126315i | ||||||||
\(77\) | −0.351220 | + | 8.76793i | −0.0400252 | + | 0.999199i | ||||
\(78\) | 1.02737 | − | 0.420051i | 0.116326 | − | 0.0475614i | ||||
\(79\) | 12.3514 | − | 1.29819i | 1.38964 | − | 0.146057i | 0.620035 | − | 0.784574i | \(-0.287118\pi\) |
0.769608 | + | 0.638517i | \(0.220452\pi\) | |||||||
\(80\) | 0.204657 | + | 0.184274i | 0.0228814 | + | 0.0206025i | ||||
\(81\) | 1.70974 | + | 8.83611i | 0.189971 | + | 0.981790i | ||||
\(82\) | 2.77758 | − | 1.23666i | 0.306733 | − | 0.136566i | ||||
\(83\) | −3.41598 | − | 2.48186i | −0.374953 | − | 0.272419i | 0.384309 | − | 0.923205i | \(-0.374440\pi\) |
−0.759262 | + | 0.650785i | \(0.774440\pi\) | |||||||
\(84\) | −4.56307 | + | 0.422382i | −0.497872 | + | 0.0460856i | ||||
\(85\) | 1.60096 | − | 0.520183i | 0.173648 | − | 0.0564218i | ||||
\(86\) | 1.11893 | − | 0.117604i | 0.120657 | − | 0.0126816i | ||||
\(87\) | −9.37380 | + | 12.1011i | −1.00498 | + | 1.29737i | ||||
\(88\) | −3.31306 | + | 0.153653i | −0.353174 | + | 0.0163795i | ||||
\(89\) | −15.7235 | − | 9.07797i | −1.66669 | − | 0.962263i | −0.969405 | − | 0.245468i | \(-0.921058\pi\) |
−0.697284 | − | 0.716795i | \(-0.745608\pi\) | |||||||
\(90\) | −0.814792 | − | 0.136707i | −0.0858866 | − | 0.0144102i | ||||
\(91\) | −1.28054 | − | 1.11117i | −0.134238 | − | 0.116482i | ||||
\(92\) | −1.15704 | − | 0.375944i | −0.120629 | − | 0.0391949i | ||||
\(93\) | 6.26010 | + | 5.99530i | 0.649142 | + | 0.621684i | ||||
\(94\) | −2.37321 | − | 0.249434i | −0.244778 | − | 0.0257272i | ||||
\(95\) | 0.296633 | − | 0.0630513i | 0.0304339 | − | 0.00646892i | ||||
\(96\) | −0.307844 | − | 1.70447i | −0.0314192 | − | 0.173962i | ||||
\(97\) | −8.14146 | + | 5.91512i | −0.826640 | + | 0.600589i | −0.918607 | − | 0.395173i | \(-0.870685\pi\) |
0.0919669 | + | 0.995762i | \(0.470685\pi\) | |||||||
\(98\) | 3.71994 | + | 5.92976i | 0.375771 | + | 0.598996i | ||||
\(99\) | 8.13740 | − | 5.72562i | 0.817839 | − | 0.575447i | ||||
\(100\) | −2.46208 | + | 4.26445i | −0.246208 | + | 0.426445i | ||||
\(101\) | 4.80806 | + | 2.14068i | 0.478419 | + | 0.213006i | 0.631755 | − | 0.775168i | \(-0.282335\pi\) |
−0.153336 | + | 0.988174i | \(0.549002\pi\) | |||||||
\(102\) | −9.96364 | − | 3.57971i | −0.986548 | − | 0.354444i | ||||
\(103\) | −8.86266 | − | 9.84298i | −0.873264 | − | 0.969857i | 0.126492 | − | 0.991968i | \(-0.459628\pi\) |
−0.999756 | + | 0.0221102i | \(0.992962\pi\) | |||||||
\(104\) | 0.376661 | − | 0.518429i | 0.0369346 | − | 0.0508362i | ||||
\(105\) | 0.375049 | + | 1.20499i | 0.0366011 | + | 0.117595i | ||||
\(106\) | −7.79542 | − | 2.53288i | −0.757158 | − | 0.246015i | ||||
\(107\) | 6.65818 | + | 1.41524i | 0.643670 | + | 0.136816i | 0.518171 | − | 0.855277i | \(-0.326613\pi\) |
0.125500 | + | 0.992094i | \(0.459947\pi\) | |||||||
\(108\) | 3.52471 | + | 3.81791i | 0.339165 | + | 0.367378i | ||||
\(109\) | 4.10671 | − | 2.37101i | 0.393352 | − | 0.227102i | −0.290260 | − | 0.956948i | \(-0.593742\pi\) |
0.683611 | + | 0.729846i | \(0.260408\pi\) | |||||||
\(110\) | 0.231088 | + | 0.883660i | 0.0220334 | + | 0.0842537i | ||||
\(111\) | −4.74039 | − | 11.5941i | −0.449938 | − | 1.10046i | ||||
\(112\) | −2.11158 | + | 1.59412i | −0.199526 | + | 0.150631i | ||||
\(113\) | −1.41966 | + | 0.461276i | −0.133550 | + | 0.0433932i | −0.375030 | − | 0.927013i | \(-0.622367\pi\) |
0.241479 | + | 0.970406i | \(0.422367\pi\) | |||||||
\(114\) | −1.71774 | − | 0.828989i | −0.160881 | − | 0.0776419i | ||||
\(115\) | −0.0350211 | + | 0.333203i | −0.00326573 | + | 0.0310713i | ||||
\(116\) | −0.923771 | + | 8.78910i | −0.0857700 | + | 0.816047i | ||||
\(117\) | −0.118181 | + | 1.91880i | −0.0109258 | + | 0.177394i | ||||
\(118\) | 8.41465 | − | 2.73409i | 0.774632 | − | 0.251693i | ||||
\(119\) | 1.98511 | + | 16.0499i | 0.181975 | + | 1.47129i | ||||
\(120\) | −0.441517 | + | 0.180520i | −0.0403048 | + | 0.0164791i | ||||
\(121\) | −9.45943 | − | 5.61420i | −0.859948 | − | 0.510382i | ||||
\(122\) | 3.83587 | − | 2.21464i | 0.347284 | − | 0.200504i | ||||
\(123\) | −0.161945 | + | 5.26371i | −0.0146021 | + | 0.474613i | ||||
\(124\) | 4.89506 | + | 1.04048i | 0.439589 | + | 0.0934376i | ||||
\(125\) | 2.59928 | + | 0.844559i | 0.232487 | + | 0.0755396i | ||||
\(126\) | 2.77627 | − | 7.43588i | 0.247330 | − | 0.662441i | ||||
\(127\) | 0.0509999 | − | 0.0701953i | 0.00452551 | − | 0.00622883i | −0.806748 | − | 0.590895i | \(-0.798775\pi\) |
0.811274 | + | 0.584666i | \(0.198775\pi\) | |||||||
\(128\) | −0.669131 | − | 0.743145i | −0.0591433 | − | 0.0656853i | ||||
\(129\) | −0.658897 | + | 1.83395i | −0.0580126 | + | 0.161470i | ||||
\(130\) | −0.161219 | − | 0.0717792i | −0.0141398 | − | 0.00629545i | ||||
\(131\) | 5.90912 | − | 10.2349i | 0.516282 | − | 0.894227i | −0.483539 | − | 0.875323i | \(-0.660649\pi\) |
0.999821 | − | 0.0189040i | \(-0.00601769\pi\) | |||||||
\(132\) | 2.25444 | − | 5.28370i | 0.196224 | − | 0.459887i | ||||
\(133\) | 0.0534271 | + | 2.91298i | 0.00463272 | + | 0.252587i | ||||
\(134\) | 8.59177 | − | 6.24229i | 0.742216 | − | 0.539251i | ||||
\(135\) | 0.826635 | − | 1.16807i | 0.0711454 | − | 0.100532i | ||||
\(136\) | −5.97894 | + | 1.27086i | −0.512690 | + | 0.108976i | ||||
\(137\) | −8.55726 | − | 0.899404i | −0.731096 | − | 0.0768413i | −0.268337 | − | 0.963325i | \(-0.586474\pi\) |
−0.462759 | + | 0.886484i | \(0.653141\pi\) | |||||||
\(138\) | 1.45747 | − | 1.52184i | 0.124068 | − | 0.129548i | ||||
\(139\) | 8.90966 | + | 2.89492i | 0.755707 | + | 0.245544i | 0.661435 | − | 0.750002i | \(-0.269948\pi\) |
0.0942720 | + | 0.995546i | \(0.469948\pi\) | |||||||
\(140\) | 0.550322 | + | 0.477532i | 0.0465107 | + | 0.0403588i | ||||
\(141\) | 2.17568 | − | 3.51418i | 0.183225 | − | 0.295947i | ||||
\(142\) | −9.76258 | − | 5.63643i | −0.819257 | − | 0.472998i | ||||
\(143\) | 1.98872 | − | 0.749704i | 0.166305 | − | 0.0626934i | ||||
\(144\) | 2.89055 | + | 0.802948i | 0.240879 | + | 0.0669123i | ||||
\(145\) | 2.42046 | − | 0.254401i | 0.201008 | − | 0.0211268i | ||||
\(146\) | −10.8441 | + | 3.52348i | −0.897468 | + | 0.291605i | ||||
\(147\) | −12.0502 | + | 1.33872i | −0.993885 | + | 0.110416i | ||||
\(148\) | −5.85061 | − | 4.25072i | −0.480917 | − | 0.349407i | ||||
\(149\) | 13.0189 | − | 5.79639i | 1.06655 | − | 0.474859i | 0.203030 | − | 0.979172i | \(-0.434921\pi\) |
0.863521 | + | 0.504313i | \(0.168254\pi\) | |||||||
\(150\) | −4.79860 | − | 7.05092i | −0.391804 | − | 0.575705i | ||||
\(151\) | −7.77891 | − | 7.00416i | −0.633039 | − | 0.569991i | 0.288884 | − | 0.957364i | \(-0.406716\pi\) |
−0.921923 | + | 0.387373i | \(0.873382\pi\) | |||||||
\(152\) | −1.09515 | + | 0.115105i | −0.0888288 | + | 0.00933628i | ||||
\(153\) | 13.0847 | − | 12.8474i | 1.05784 | − | 1.03865i | ||||
\(154\) | −8.75661 | + | 0.567203i | −0.705628 | + | 0.0457065i | ||||
\(155\) | − | 1.37818i | − | 0.110698i | ||||||
\(156\) | 0.525139 | + | 0.977832i | 0.0420448 | + | 0.0782892i | ||||
\(157\) | 10.0844 | − | 11.1999i | 0.804826 | − | 0.893850i | −0.191323 | − | 0.981527i | \(-0.561278\pi\) |
0.996149 | + | 0.0876774i | \(0.0279445\pi\) | |||||||
\(158\) | 2.58215 | + | 12.1481i | 0.205425 | + | 0.966448i | ||||
\(159\) | 9.81953 | − | 10.2532i | 0.778739 | − | 0.813135i | ||||
\(160\) | −0.161872 | + | 0.222798i | −0.0127971 | + | 0.0176137i | ||||
\(161\) | −3.07896 | − | 0.938351i | −0.242656 | − | 0.0739524i | ||||
\(162\) | −8.60898 | + | 2.62400i | −0.676386 | + | 0.206161i | ||||
\(163\) | 2.21897 | + | 21.1121i | 0.173803 | + | 1.65362i | 0.639582 | + | 0.768723i | \(0.279108\pi\) |
−0.465779 | + | 0.884901i | \(0.654226\pi\) | |||||||
\(164\) | 1.52022 | + | 2.63310i | 0.118709 | + | 0.205611i | ||||
\(165\) | −1.55238 | − | 0.304759i | −0.120853 | − | 0.0237254i | ||||
\(166\) | 2.11119 | − | 3.65669i | 0.163860 | − | 0.283815i | ||||
\(167\) | −3.23429 | + | 2.34985i | −0.250277 | + | 0.181837i | −0.705849 | − | 0.708362i | \(-0.749434\pi\) |
0.455573 | + | 0.890199i | \(0.349434\pi\) | |||||||
\(168\) | −0.897038 | − | 4.49392i | −0.0692080 | − | 0.346714i | ||||
\(169\) | 3.89033 | − | 11.9732i | 0.299256 | − | 0.921015i | ||||
\(170\) | 0.684679 | + | 1.53781i | 0.0525125 | + | 0.117945i | ||||
\(171\) | 2.58627 | − | 2.05541i | 0.197777 | − | 0.157181i | ||||
\(172\) | 0.233920 | + | 1.10051i | 0.0178363 | + | 0.0839130i | ||||
\(173\) | −0.739743 | − | 0.157237i | −0.0562417 | − | 0.0119545i | 0.179705 | − | 0.983721i | \(-0.442486\pi\) |
−0.235947 | + | 0.971766i | \(0.575819\pi\) | |||||||
\(174\) | −13.0146 | − | 8.05754i | −0.986637 | − | 0.610841i | ||||
\(175\) | −6.30605 | + | 11.4002i | −0.476693 | + | 0.861776i | ||||
\(176\) | −0.499121 | − | 3.27885i | −0.0376227 | − | 0.247153i | ||||
\(177\) | −2.06978 | + | 15.1842i | −0.155574 | + | 1.14132i | ||||
\(178\) | 7.38469 | − | 16.5863i | 0.553506 | − | 1.24319i | ||||
\(179\) | 1.35024 | + | 1.21576i | 0.100922 | + | 0.0908704i | 0.718047 | − | 0.695994i | \(-0.245036\pi\) |
−0.617125 | + | 0.786865i | \(0.711703\pi\) | |||||||
\(180\) | 0.0507889 | − | 0.824618i | 0.00378558 | − | 0.0614634i | ||||
\(181\) | 16.7786 | + | 12.1904i | 1.24714 | + | 0.906102i | 0.998053 | − | 0.0623784i | \(-0.0198686\pi\) |
0.249090 | + | 0.968480i | \(0.419869\pi\) | |||||||
\(182\) | 0.971230 | − | 1.38968i | 0.0719924 | − | 0.103010i | ||||
\(183\) | 0.566910 | + | 7.65077i | 0.0419072 | + | 0.565561i | ||||
\(184\) | 0.252941 | − | 1.19000i | 0.0186471 | − | 0.0877276i | ||||
\(185\) | −0.810047 | + | 1.81940i | −0.0595559 | + | 0.133765i | ||||
\(186\) | −5.30810 | + | 6.85249i | −0.389209 | + | 0.502449i | ||||
\(187\) | −18.8824 | − | 7.37888i | −1.38081 | − | 0.539597i | ||||
\(188\) | − | 2.38628i | − | 0.174037i | ||||||
\(189\) | 9.50917 | + | 9.92852i | 0.691691 | + | 0.722194i | ||||
\(190\) | 0.0937124 | + | 0.288417i | 0.00679862 | + | 0.0209240i | ||||
\(191\) | 8.53554 | − | 7.68543i | 0.617610 | − | 0.556098i | −0.299820 | − | 0.953996i | \(-0.596927\pi\) |
0.917430 | + | 0.397897i | \(0.130260\pi\) | |||||||
\(192\) | 1.66296 | − | 0.484323i | 0.120014 | − | 0.0349530i | ||||
\(193\) | 4.33302 | + | 0.455419i | 0.311898 | + | 0.0327818i | 0.259184 | − | 0.965828i | \(-0.416546\pi\) |
0.0527134 | + | 0.998610i | \(0.483213\pi\) | |||||||
\(194\) | −6.73373 | − | 7.47856i | −0.483453 | − | 0.536929i | ||||
\(195\) | 0.233336 | − | 0.197448i | 0.0167095 | − | 0.0141395i | ||||
\(196\) | −5.50843 | + | 4.31940i | −0.393459 | + | 0.308528i | ||||
\(197\) | −16.6705 | −1.18773 | −0.593863 | − | 0.804566i | \(-0.702398\pi\) | ||||
−0.593863 | + | 0.804566i | \(0.702398\pi\) | |||||||
\(198\) | 6.54485 | + | 7.49433i | 0.465122 | + | 0.532599i | ||||
\(199\) | 2.72284 | + | 4.71610i | 0.193017 | + | 0.334315i | 0.946249 | − | 0.323440i | \(-0.104839\pi\) |
−0.753232 | + | 0.657755i | \(0.771506\pi\) | |||||||
\(200\) | −4.49844 | − | 2.00284i | −0.318088 | − | 0.141622i | ||||
\(201\) | 3.26930 | + | 18.1015i | 0.230599 | + | 1.27678i | ||||
\(202\) | −1.62638 | + | 5.00548i | −0.114432 | + | 0.352184i | ||||
\(203\) | −2.01723 | + | 23.2947i | −0.141582 | + | 1.63497i | ||||
\(204\) | 2.51862 | − | 10.2832i | 0.176339 | − | 0.719971i | ||||
\(205\) | 0.622249 | − | 0.560276i | 0.0434598 | − | 0.0391314i | ||||
\(206\) | 8.86266 | − | 9.84298i | 0.617491 | − | 0.685793i | ||||
\(207\) | 1.27671 | + | 3.41916i | 0.0887374 | + | 0.237648i | ||||
\(208\) | 0.554961 | + | 0.320407i | 0.0384796 | + | 0.0222162i | ||||
\(209\) | −3.24412 | − | 1.67762i | −0.224401 | − | 0.116043i | ||||
\(210\) | −1.15919 | + | 0.498951i | −0.0799917 | + | 0.0344309i | ||||
\(211\) | 12.1580 | + | 16.7340i | 0.836989 | + | 1.15202i | 0.986582 | + | 0.163269i | \(0.0522037\pi\) |
−0.149593 | + | 0.988748i | \(0.547796\pi\) | |||||||
\(212\) | 1.70417 | − | 8.01747i | 0.117043 | − | 0.550642i | ||||
\(213\) | 16.1416 | − | 10.9854i | 1.10601 | − | 0.752708i | ||||
\(214\) | −0.711518 | + | 6.76964i | −0.0486383 | + | 0.462763i | ||||
\(215\) | 0.283056 | − | 0.126025i | 0.0193043 | − | 0.00859482i | ||||
\(216\) | −3.42856 | + | 3.90448i | −0.233284 | + | 0.265666i | ||||
\(217\) | 12.9994 | + | 2.51488i | 0.882457 | + | 0.170721i | ||||
\(218\) | 2.78729 | + | 3.83638i | 0.188779 | + | 0.259832i | ||||
\(219\) | 2.66737 | − | 19.5682i | 0.180244 | − | 1.32230i | ||||
\(220\) | −0.854664 | + | 0.322190i | −0.0576215 | + | 0.0217220i | ||||
\(221\) | 3.39221 | − | 1.95849i | 0.228185 | − | 0.131742i | ||||
\(222\) | 11.0351 | − | 5.92633i | 0.740627 | − | 0.397750i | ||||
\(223\) | 1.74306 | + | 5.36460i | 0.116724 | + | 0.359240i | 0.992303 | − | 0.123836i | \(-0.0395196\pi\) |
−0.875579 | + | 0.483076i | \(0.839520\pi\) | |||||||
\(224\) | −1.80611 | − | 1.93338i | −0.120676 | − | 0.129179i | ||||
\(225\) | 14.6111 | − | 2.17728i | 0.974076 | − | 0.145152i | ||||
\(226\) | −0.607144 | − | 1.36367i | −0.0403866 | − | 0.0907098i | ||||
\(227\) | 23.4975 | − | 4.99455i | 1.55958 | − | 0.331500i | 0.654277 | − | 0.756255i | \(-0.272973\pi\) |
0.905308 | + | 0.424755i | \(0.139640\pi\) | |||||||
\(228\) | 0.644896 | − | 1.79498i | 0.0427093 | − | 0.118875i | ||||
\(229\) | 2.70995 | + | 25.7834i | 0.179078 | + | 1.70382i | 0.602692 | + | 0.797974i | \(0.294095\pi\) |
−0.423614 | + | 0.905843i | \(0.639239\pi\) | |||||||
\(230\) | −0.335038 | −0.0220918 | ||||||||
\(231\) | 5.70732 | − | 14.0864i | 0.375514 | − | 0.926817i | ||||
\(232\) | −8.83751 | −0.580211 | ||||||||
\(233\) | 1.76179 | + | 16.7624i | 0.115419 | + | 1.09814i | 0.886924 | + | 0.461915i | \(0.152838\pi\) |
−0.771505 | + | 0.636223i | \(0.780496\pi\) | |||||||
\(234\) | −1.92065 | + | 0.0830364i | −0.125557 | + | 0.00542826i | ||||
\(235\) | −0.642806 | + | 0.136633i | −0.0419320 | + | 0.00891293i | ||||
\(236\) | 3.59868 | + | 8.08277i | 0.234254 | + | 0.526143i | ||||
\(237\) | −20.8936 | − | 5.11735i | −1.35718 | − | 0.332407i | ||||
\(238\) | −15.7545 | + | 3.65191i | −1.02121 | + | 0.236718i | ||||
\(239\) | −4.22887 | − | 13.0151i | −0.273543 | − | 0.841877i | −0.989601 | − | 0.143837i | \(-0.954056\pi\) |
0.716059 | − | 0.698040i | \(-0.245944\pi\) | |||||||
\(240\) | −0.225682 | − | 0.420229i | −0.0145677 | − | 0.0271257i | ||||
\(241\) | 2.75040 | − | 1.58794i | 0.177169 | − | 0.102288i | −0.408793 | − | 0.912627i | \(-0.634050\pi\) |
0.585962 | + | 0.810339i | \(0.300717\pi\) | |||||||
\(242\) | 4.59467 | − | 9.99445i | 0.295356 | − | 0.642468i | ||||
\(243\) | 2.38780 | − | 15.4045i | 0.153177 | − | 0.988199i | ||||
\(244\) | 2.60347 | + | 3.58337i | 0.166670 | + | 0.229401i | ||||
\(245\) | 1.47894 | + | 1.23652i | 0.0944859 | + | 0.0789983i | ||||
\(246\) | −5.25181 | + | 0.389150i | −0.334843 | + | 0.0248113i | ||||
\(247\) | 0.644649 | − | 0.287016i | 0.0410180 | − | 0.0182624i | ||||
\(248\) | −0.523104 | + | 4.97700i | −0.0332171 | + | 0.316040i | ||||
\(249\) | 4.11472 | + | 6.04605i | 0.260760 | + | 0.383153i | ||||
\(250\) | −0.568233 | + | 2.67333i | −0.0359382 | + | 0.169076i | ||||
\(251\) | −5.83265 | − | 8.02796i | −0.368154 | − | 0.506720i | 0.584244 | − | 0.811578i | \(-0.301391\pi\) |
−0.952398 | + | 0.304858i | \(0.901391\pi\) | |||||||
\(252\) | 7.68535 | + | 1.98380i | 0.484131 | + | 0.124968i | ||||
\(253\) | 2.87024 | − | 2.83592i | 0.180451 | − | 0.178293i | ||||
\(254\) | 0.0751417 | + | 0.0433831i | 0.00471481 | + | 0.00272210i | ||||
\(255\) | −2.91426 | − | 0.0896610i | −0.182498 | − | 0.00561479i | ||||
\(256\) | 0.669131 | − | 0.743145i | 0.0418207 | − | 0.0464466i | ||||
\(257\) | 15.5229 | − | 13.9769i | 0.968290 | − | 0.871852i | −0.0235005 | − | 0.999724i | \(-0.507481\pi\) |
0.991791 | + | 0.127871i | \(0.0408145\pi\) | |||||||
\(258\) | −1.89278 | − | 0.463587i | −0.117839 | − | 0.0288617i | ||||
\(259\) | −15.6829 | − | 10.9606i | −0.974487 | − | 0.681058i | ||||
\(260\) | 0.0545341 | − | 0.167839i | 0.00338206 | − | 0.0104089i | ||||
\(261\) | 22.3665 | − | 14.2356i | 1.38445 | − | 0.881163i | ||||
\(262\) | 10.7965 | + | 4.80691i | 0.667010 | + | 0.296972i | ||||
\(263\) | −9.65220 | − | 16.7181i | −0.595180 | − | 1.03088i | −0.993521 | − | 0.113645i | \(-0.963747\pi\) |
0.398341 | − | 0.917237i | \(-0.369586\pi\) | |||||||
\(264\) | 5.49041 | + | 1.68979i | 0.337911 | + | 0.103999i | ||||
\(265\) | −2.25729 | −0.138664 | ||||||||
\(266\) | −2.89144 | + | 0.357624i | −0.177285 | + | 0.0219273i | ||||
\(267\) | 20.3136 | + | 24.0057i | 1.24317 | + | 1.46913i | ||||
\(268\) | 7.10618 | + | 7.89221i | 0.434079 | + | 0.482093i | ||||
\(269\) | −21.5198 | − | 2.26183i | −1.31209 | − | 0.137906i | −0.577484 | − | 0.816402i | \(-0.695965\pi\) |
−0.734604 | + | 0.678496i | \(0.762632\pi\) | |||||||
\(270\) | 1.24808 | + | 0.700009i | 0.0759559 | + | 0.0426012i | ||||
\(271\) | −17.0856 | + | 15.3840i | −1.03788 | + | 0.934509i | −0.997905 | − | 0.0646918i | \(-0.979394\pi\) |
−0.0399721 | + | 0.999201i | \(0.512727\pi\) | |||||||
\(272\) | −1.88887 | − | 5.81335i | −0.114530 | − | 0.352486i | ||||
\(273\) | 1.43660 | + | 2.56119i | 0.0869468 | + | 0.155010i | ||||
\(274\) | − | 8.60439i | − | 0.519810i | ||||||
\(275\) | −8.81227 | − | 13.7501i | −0.531400 | − | 0.829161i | ||||
\(276\) | 1.66585 | + | 1.29041i | 0.100272 | + | 0.0776734i | ||||
\(277\) | 12.5072 | − | 28.0916i | 0.751484 | − | 1.68786i | 0.0259608 | − | 0.999663i | \(-0.491735\pi\) |
0.725523 | − | 0.688198i | \(-0.241598\pi\) | |||||||
\(278\) | −1.94775 | + | 9.16345i | −0.116818 | + | 0.549587i | ||||
\(279\) | −6.69315 | − | 13.4387i | −0.400708 | − | 0.804556i | ||||
\(280\) | −0.417392 | + | 0.597223i | −0.0249439 | + | 0.0356909i | ||||
\(281\) | 5.30840 | + | 3.85678i | 0.316673 | + | 0.230076i | 0.734754 | − | 0.678333i | \(-0.237297\pi\) |
−0.418082 | + | 0.908409i | \(0.637297\pi\) | |||||||
\(282\) | 3.72235 | + | 1.79643i | 0.221663 | + | 0.106976i | ||||
\(283\) | 15.1591 | + | 13.6493i | 0.901115 | + | 0.811368i | 0.982682 | − | 0.185300i | \(-0.0593257\pi\) |
−0.0815666 | + | 0.996668i | \(0.525992\pi\) | |||||||
\(284\) | 4.58508 | − | 10.2983i | 0.272075 | − | 0.611089i | ||||
\(285\) | −0.520449 | − | 0.0709430i | −0.0308287 | − | 0.00420230i | ||||
\(286\) | 0.953475 | + | 1.89946i | 0.0563802 | + | 0.112317i | ||||
\(287\) | 4.14921 | + | 6.89161i | 0.244920 | + | 0.406799i | ||||
\(288\) | −0.496405 | + | 2.95865i | −0.0292509 | + | 0.174340i | ||||
\(289\) | −19.9179 | − | 4.23367i | −1.17164 | − | 0.249040i | ||||
\(290\) | 0.506014 | + | 2.38061i | 0.0297142 | + | 0.139794i | ||||
\(291\) | 16.7350 | − | 4.87394i | 0.981024 | − | 0.285715i | ||||
\(292\) | −4.63770 | − | 10.4164i | −0.271401 | − | 0.609576i | ||||
\(293\) | 2.75468 | − | 8.47805i | 0.160930 | − | 0.495293i | −0.837783 | − | 0.546003i | \(-0.816149\pi\) |
0.998713 | + | 0.0507105i | \(0.0161486\pi\) | |||||||
\(294\) | −2.59098 | − | 11.8443i | −0.151109 | − | 0.690772i | ||||
\(295\) | 1.97125 | − | 1.43220i | 0.114770 | − | 0.0833856i | ||||
\(296\) | 3.61587 | − | 6.26288i | 0.210168 | − | 0.364022i | ||||
\(297\) | −16.6174 | + | 4.56743i | −0.964240 | + | 0.265029i | ||||
\(298\) | 7.12549 | + | 12.3417i | 0.412768 | + | 0.714936i | ||||
\(299\) | 0.0814905 | + | 0.775331i | 0.00471272 | + | 0.0448385i | ||||
\(300\) | 6.51070 | − | 5.50933i | 0.375896 | − | 0.318082i | ||||
\(301\) | 0.672185 | + | 2.89983i | 0.0387441 | + | 0.167144i | ||||
\(302\) | 6.15267 | − | 8.46843i | 0.354047 | − | 0.487303i | ||||
\(303\) | −6.58366 | − | 6.30517i | −0.378221 | − | 0.362223i | ||||
\(304\) | −0.228950 | − | 1.07712i | −0.0131312 | − | 0.0617773i | ||||
\(305\) | 0.816203 | − | 0.906485i | 0.0467356 | − | 0.0519052i | ||||
\(306\) | 14.1447 | + | 11.6701i | 0.808600 | + | 0.667138i | ||||
\(307\) | − | 18.1321i | − | 1.03485i | −0.855728 | − | 0.517426i | \(-0.826890\pi\) | ||
0.855728 | − | 0.517426i | \(-0.173110\pi\) | |||||||
\(308\) | −1.47941 | − | 8.64936i | −0.0842973 | − | 0.492843i | ||||
\(309\) | 8.68208 | + | 21.2347i | 0.493906 | + | 1.20800i | ||||
\(310\) | 1.37063 | − | 0.144059i | 0.0778468 | − | 0.00818203i | ||||
\(311\) | 14.8237 | + | 13.3473i | 0.840574 | + | 0.756856i | 0.972127 | − | 0.234453i | \(-0.0753299\pi\) |
−0.131554 | + | 0.991309i | \(0.541997\pi\) | |||||||
\(312\) | −0.917583 | + | 0.624474i | −0.0519479 | + | 0.0353539i | ||||
\(313\) | −22.4597 | + | 9.99970i | −1.26950 | + | 0.565216i | −0.927267 | − | 0.374400i | \(-0.877849\pi\) |
−0.342229 | + | 0.939616i | \(0.611182\pi\) | |||||||
\(314\) | 12.1927 | + | 8.85849i | 0.688072 | + | 0.499913i | ||||
\(315\) | 0.0943435 | − | 2.18383i | 0.00531565 | − | 0.123045i | ||||
\(316\) | −11.8116 | + | 3.83782i | −0.664455 | + | 0.215894i | ||||
\(317\) | −15.7403 | + | 1.65437i | −0.884061 | + | 0.0929185i | −0.535667 | − | 0.844430i | \(-0.679940\pi\) |
−0.348394 | + | 0.937348i | \(0.613273\pi\) | |||||||
\(318\) | 11.2235 | + | 8.69398i | 0.629382 | + | 0.487534i | ||||
\(319\) | −24.4856 | − | 16.1113i | −1.37093 | − | 0.902061i | ||||
\(320\) | −0.238498 | − | 0.137697i | −0.0133324 | − | 0.00769748i | ||||
\(321\) | −10.0243 | − | 6.20617i | −0.559501 | − | 0.346395i | ||||
\(322\) | 0.611371 | − | 3.16017i | 0.0340704 | − | 0.176110i | ||||
\(323\) | −6.40158 | − | 2.08000i | −0.356194 | − | 0.115734i | ||||
\(324\) | −3.50951 | − | 8.28754i | −0.194973 | − | 0.460419i | ||||
\(325\) | 3.13818 | + | 0.329836i | 0.174075 | + | 0.0182960i | ||||
\(326\) | −20.7645 | + | 4.41362i | −1.15004 | + | 0.244448i | ||||
\(327\) | −8.08266 | + | 1.45980i | −0.446972 | + | 0.0807273i | ||||
\(328\) | −2.45977 | + | 1.78713i | −0.135818 | + | 0.0986777i | ||||
\(329\) | −0.115777 | − | 6.31245i | −0.00638299 | − | 0.348016i | ||||
\(330\) | 0.140821 | − | 1.57574i | 0.00775193 | − | 0.0867414i | ||||
\(331\) | 2.50319 | − | 4.33564i | 0.137588 | − | 0.238309i | −0.788995 | − | 0.614399i | \(-0.789399\pi\) |
0.926583 | + | 0.376091i | \(0.122732\pi\) | |||||||
\(332\) | 3.85734 | + | 1.71740i | 0.211699 | + | 0.0942545i | ||||
\(333\) | 0.937088 | + | 21.6750i | 0.0513521 | + | 1.18778i | ||||
\(334\) | −2.67505 | − | 2.97094i | −0.146372 | − | 0.162563i | ||||
\(335\) | 1.71909 | − | 2.36612i | 0.0939237 | − | 0.129275i | ||||
\(336\) | 4.37554 | − | 1.36187i | 0.238705 | − | 0.0742959i | ||||
\(337\) | −33.0515 | − | 10.7391i | −1.80043 | − | 0.584996i | −0.800534 | − | 0.599287i | \(-0.795451\pi\) |
−0.999898 | + | 0.0142910i | \(0.995451\pi\) | |||||||
\(338\) | 12.3143 | + | 2.61747i | 0.669807 | + | 0.142372i | ||||
\(339\) | 2.58424 | + | 0.0795074i | 0.140357 | + | 0.00431825i | ||||
\(340\) | −1.45782 | + | 0.841674i | −0.0790615 | + | 0.0456462i | ||||
\(341\) | −10.5227 | + | 12.8358i | −0.569837 | + | 0.695099i | ||||
\(342\) | 2.31449 | + | 2.35725i | 0.125153 | + | 0.127466i | ||||
\(343\) | −14.3619 | + | 11.6934i | −0.775471 | + | 0.631383i | ||||
\(344\) | −1.07003 | + | 0.347673i | −0.0576921 | + | 0.0187453i | ||||
\(345\) | 0.252222 | − | 0.522625i | 0.0135792 | − | 0.0281372i | ||||
\(346\) | 0.0790517 | − | 0.752127i | 0.00424985 | − | 0.0404346i | ||||
\(347\) | −0.595247 | + | 5.66339i | −0.0319545 | + | 0.304027i | 0.966858 | + | 0.255314i | \(0.0821787\pi\) |
−0.998813 | + | 0.0487133i | \(0.984488\pi\) | |||||||
\(348\) | 6.65300 | − | 13.7856i | 0.356638 | − | 0.738985i | ||||
\(349\) | 1.53551 | − | 0.498918i | 0.0821941 | − | 0.0267065i | −0.267631 | − | 0.963521i | \(-0.586241\pi\) |
0.349825 | + | 0.936815i | \(0.386241\pi\) | |||||||
\(350\) | −11.9969 | − | 5.07986i | −0.641263 | − | 0.271530i | ||||
\(351\) | 1.31636 | − | 3.05852i | 0.0702622 | − | 0.163252i | ||||
\(352\) | 3.20872 | − | 0.839120i | 0.171025 | − | 0.0447253i | ||||
\(353\) | 3.35330 | − | 1.93603i | 0.178478 | − | 0.103044i | −0.408099 | − | 0.912938i | \(-0.633808\pi\) |
0.586578 | + | 0.809893i | \(0.300475\pi\) | |||||||
\(354\) | −15.3174 | − | 0.471259i | −0.814111 | − | 0.0250471i | ||||
\(355\) | −3.03663 | − | 0.645456i | −0.161168 | − | 0.0342572i | ||||
\(356\) | 17.2673 | + | 5.61050i | 0.915167 | + | 0.297356i | ||||
\(357\) | 6.16360 | − | 27.3245i | 0.326212 | − | 1.44617i | ||||
\(358\) | −1.06796 | + | 1.46993i | −0.0564436 | + | 0.0776880i | ||||
\(359\) | −8.86611 | − | 9.84681i | −0.467935 | − | 0.519695i | 0.462268 | − | 0.886740i | \(-0.347036\pi\) |
−0.930203 | + | 0.367046i | \(0.880369\pi\) | |||||||
\(360\) | 0.825410 | − | 0.0356854i | 0.0435029 | − | 0.00188079i | ||||
\(361\) | 16.2496 | + | 7.23478i | 0.855241 | + | 0.380778i | ||||
\(362\) | −10.3697 | + | 17.9609i | −0.545021 | + | 0.944004i | ||||
\(363\) | 12.1314 | + | 14.6912i | 0.636731 | + | 0.771086i | ||||
\(364\) | 1.48359 | + | 0.820649i | 0.0777611 | + | 0.0430137i | ||||
\(365\) | −2.54039 | + | 1.84570i | −0.132970 | + | 0.0966084i | ||||
\(366\) | −7.54960 | + | 1.36353i | −0.394624 | + | 0.0712727i | ||||
\(367\) | −9.16748 | + | 1.94861i | −0.478539 | + | 0.101717i | −0.440865 | − | 0.897574i | \(-0.645328\pi\) |
−0.0376739 | + | 0.999290i | \(0.511995\pi\) | |||||||
\(368\) | 1.20992 | + | 0.127167i | 0.0630712 | + | 0.00662905i | ||||
\(369\) | 3.34660 | − | 8.48522i | 0.174217 | − | 0.441723i | ||||
\(370\) | −1.89410 | − | 0.615431i | −0.0984697 | − | 0.0319947i | ||||
\(371\) | 4.11905 | − | 21.2913i | 0.213851 | − | 1.10539i | ||||
\(372\) | −7.36980 | − | 4.56274i | −0.382106 | − | 0.236567i | ||||
\(373\) | −11.2890 | − | 6.51770i | −0.584522 | − | 0.337474i | 0.178406 | − | 0.983957i | \(-0.442906\pi\) |
−0.762928 | + | 0.646483i | \(0.776239\pi\) | |||||||
\(374\) | 5.36471 | − | 19.5502i | 0.277403 | − | 1.01092i | ||||
\(375\) | −3.74233 | − | 2.89890i | −0.193253 | − | 0.149699i | ||||
\(376\) | 2.37321 | − | 0.249434i | 0.122389 | − | 0.0128636i | ||||
\(377\) | 5.38602 | − | 1.75002i | 0.277394 | − | 0.0901308i | ||||
\(378\) | −8.88016 | + | 10.4949i | −0.456746 | + | 0.539799i | ||||
\(379\) | 3.50425 | + | 2.54599i | 0.180001 | + | 0.130778i | 0.674137 | − | 0.738606i | \(-0.264516\pi\) |
−0.494136 | + | 0.869385i | \(0.664516\pi\) | |||||||
\(380\) | −0.277042 | + | 0.123347i | −0.0142119 | + | 0.00632756i | ||||
\(381\) | −0.124241 | + | 0.0845538i | −0.00636505 | + | 0.00433182i | ||||
\(382\) | 8.53554 | + | 7.68543i | 0.436716 | + | 0.393221i | ||||
\(383\) | 18.5415 | − | 1.94879i | 0.947428 | − | 0.0995787i | 0.381805 | − | 0.924243i | \(-0.375303\pi\) |
0.565623 | + | 0.824664i | \(0.308636\pi\) | |||||||
\(384\) | 0.655497 | + | 1.60322i | 0.0334507 | + | 0.0818141i | ||||
\(385\) | −2.24522 | + | 0.893758i | −0.114427 | + | 0.0455501i | ||||
\(386\) | 4.35689i | 0.221760i | ||||||||
\(387\) | 2.14806 | − | 2.60354i | 0.109192 | − | 0.132345i | ||||
\(388\) | 6.73373 | − | 7.47856i | 0.341853 | − | 0.379666i | ||||
\(389\) | 6.44589 | + | 30.3255i | 0.326820 | + | 1.53757i | 0.768179 | + | 0.640236i | \(0.221163\pi\) |
−0.441359 | + | 0.897331i | \(0.645503\pi\) | |||||||
\(390\) | 0.220756 | + | 0.211419i | 0.0111784 | + | 0.0107056i | ||||
\(391\) | 4.37099 | − | 6.01615i | 0.221050 | − | 0.304250i | ||||
\(392\) | −4.87152 | − | 5.02676i | −0.246049 | − | 0.253890i | ||||
\(393\) | −15.6260 | + | 13.2227i | −0.788229 | + | 0.666996i | ||||
\(394\) | −1.74254 | − | 16.5792i | −0.0877881 | − | 0.835248i | ||||
\(395\) | 1.71012 | + | 2.96201i | 0.0860454 | + | 0.149035i | ||||
\(396\) | −6.76915 | + | 7.29236i | −0.340163 | + | 0.366455i | ||||
\(397\) | −0.560544 | + | 0.970891i | −0.0281329 | + | 0.0487276i | −0.879749 | − | 0.475438i | \(-0.842289\pi\) |
0.851616 | + | 0.524166i | \(0.175623\pi\) | |||||||
\(398\) | −4.40565 | + | 3.20089i | −0.220835 | + | 0.160446i | ||||
\(399\) | 1.61886 | − | 4.77956i | 0.0810443 | − | 0.239277i | ||||
\(400\) | 1.52165 | − | 4.68315i | 0.0760824 | − | 0.234158i | ||||
\(401\) | −4.70955 | − | 10.5778i | −0.235184 | − | 0.528232i | 0.756941 | − | 0.653483i | \(-0.226693\pi\) |
−0.992125 | + | 0.125251i | \(0.960026\pi\) | |||||||
\(402\) | −17.6606 | + | 5.14352i | −0.880833 | + | 0.256536i | ||||
\(403\) | −0.666751 | − | 3.13682i | −0.0332133 | − | 0.156256i | ||||
\(404\) | −5.14806 | − | 1.09425i | −0.256126 | − | 0.0544412i | ||||
\(405\) | −2.03151 | + | 1.41990i | −0.100947 | + | 0.0705554i | ||||
\(406\) | −23.3779 | + | 0.428776i | −1.16023 | + | 0.0212798i | ||||
\(407\) | 21.4359 | − | 10.7602i | 1.06254 | − | 0.533364i | ||||
\(408\) | 10.4902 | + | 1.42993i | 0.519341 | + | 0.0707921i | ||||
\(409\) | 7.37683 | − | 16.5686i | 0.364761 | − | 0.819266i | −0.634177 | − | 0.773188i | \(-0.718661\pi\) |
0.998938 | − | 0.0460783i | \(-0.0146724\pi\) | |||||||
\(410\) | 0.622249 | + | 0.560276i | 0.0307307 | + | 0.0276700i | ||||
\(411\) | 13.4219 | + | 6.47751i | 0.662056 | + | 0.319512i | ||||
\(412\) | 10.7155 | + | 7.78523i | 0.527913 | + | 0.383551i | ||||
\(413\) | 9.91177 | + | 21.2068i | 0.487726 | + | 1.04352i | ||||
\(414\) | −3.26697 | + | 1.62711i | −0.160563 | + | 0.0799683i | ||||
\(415\) | 0.241763 | − | 1.13741i | 0.0118677 | − | 0.0558331i | ||||
\(416\) | −0.260642 | + | 0.585412i | −0.0127790 | + | 0.0287022i | ||||
\(417\) | −12.8277 | − | 9.93666i | −0.628176 | − | 0.486600i | ||||
\(418\) | 1.32933 | − | 3.40171i | 0.0650194 | − | 0.166383i | ||||
\(419\) | 11.8865i | 0.580692i | 0.956922 | + | 0.290346i | \(0.0937704\pi\) | ||||
−0.956922 | + | 0.290346i | \(0.906230\pi\) | |||||||
\(420\) | −0.617386 | − | 1.10069i | −0.0301254 | − | 0.0537079i | ||||
\(421\) | 8.22765 | + | 25.3221i | 0.400991 | + | 1.23412i | 0.924197 | + | 0.381917i | \(0.124736\pi\) |
−0.523206 | + | 0.852206i | \(0.675264\pi\) | |||||||
\(422\) | −15.3715 | + | 13.8405i | −0.748272 | + | 0.673747i | ||||
\(423\) | −5.60447 | + | 4.45410i | −0.272499 | + | 0.216566i | ||||
\(424\) | 8.15168 | + | 0.856777i | 0.395881 | + | 0.0416087i | ||||
\(425\) | −20.1402 | − | 22.3679i | −0.976941 | − | 1.08500i | ||||
\(426\) | 12.6125 | + | 14.9049i | 0.611077 | + | 0.722146i | ||||
\(427\) | 7.06083 | + | 9.35279i | 0.341697 | + | 0.452613i | ||||
\(428\) | −6.80693 | −0.329025 | ||||||||
\(429\) | −3.68075 | + | 0.0573812i | −0.177708 | + | 0.00277039i | ||||
\(430\) | 0.154922 | + | 0.268333i | 0.00747100 | + | 0.0129401i | ||||
\(431\) | −4.19913 | − | 1.86957i | −0.202265 | − | 0.0900543i | 0.303104 | − | 0.952957i | \(-0.401977\pi\) |
−0.505369 | + | 0.862903i | \(0.668644\pi\) | |||||||
\(432\) | −4.24147 | − | 3.00165i | −0.204068 | − | 0.144417i | ||||
\(433\) | −5.62756 | + | 17.3199i | −0.270443 | + | 0.832339i | 0.719946 | + | 0.694030i | \(0.244167\pi\) |
−0.990389 | + | 0.138309i | \(0.955833\pi\) | |||||||
\(434\) | −1.14230 | + | 13.1911i | −0.0548320 | + | 0.633192i | ||||
\(435\) | −4.09443 | − | 1.00283i | −0.196313 | − | 0.0480819i | ||||
\(436\) | −3.52401 | + | 3.17303i | −0.168770 | + | 0.151961i | ||||
\(437\) | 0.896423 | − | 0.995579i | 0.0428817 | − | 0.0476250i | ||||
\(438\) | 19.7399 | + | 0.607321i | 0.943207 | + | 0.0290189i | ||||
\(439\) | 19.3916 | + | 11.1958i | 0.925513 | + | 0.534345i | 0.885390 | − | 0.464850i | \(-0.153892\pi\) |
0.0401231 | + | 0.999195i | \(0.487225\pi\) | |||||||
\(440\) | −0.409762 | − | 0.816304i | −0.0195346 | − | 0.0389158i | ||||
\(441\) | 20.4263 | + | 4.87489i | 0.972683 | + | 0.232137i | ||||
\(442\) | 2.30234 | + | 3.16891i | 0.109511 | + | 0.150729i | ||||
\(443\) | −3.23742 | + | 15.2308i | −0.153814 | + | 0.723639i | 0.831861 | + | 0.554984i | \(0.187276\pi\) |
−0.985675 | + | 0.168655i | \(0.946058\pi\) | |||||||
\(444\) | 7.04735 | + | 10.3552i | 0.334452 | + | 0.491434i | ||||
\(445\) | 0.522645 | − | 4.97264i | 0.0247758 | − | 0.235726i | ||||
\(446\) | −5.15301 | + | 2.29427i | −0.244002 | + | 0.108637i | ||||
\(447\) | −24.6159 | + | 1.82400i | −1.16429 | + | 0.0862723i | ||||
\(448\) | 1.73400 | − | 1.99831i | 0.0819238 | − | 0.0944113i | ||||
\(449\) | −10.9616 | − | 15.0873i | −0.517309 | − | 0.712014i | 0.467822 | − | 0.883823i | \(-0.345039\pi\) |
−0.985130 | + | 0.171809i | \(0.945039\pi\) | |||||||
\(450\) | 3.69263 | + | 14.3035i | 0.174072 | + | 0.674274i | ||||
\(451\) | −10.0732 | + | 0.467175i | −0.474328 | + | 0.0219984i | ||||
\(452\) | 1.29273 | − | 0.746360i | 0.0608050 | − | 0.0351058i | ||||
\(453\) | 8.57804 | + | 15.9727i | 0.403031 | + | 0.750462i | ||||
\(454\) | 7.42335 | + | 22.8467i | 0.348395 | + | 1.07225i | ||||
\(455\) | 0.136116 | − | 0.446630i | 0.00638122 | − | 0.0209384i | ||||
\(456\) | 1.85256 | + | 0.453736i | 0.0867539 | + | 0.0212482i | ||||
\(457\) | −7.79806 | − | 17.5147i | −0.364778 | − | 0.819304i | −0.998937 | − | 0.0461017i | \(-0.985320\pi\) |
0.634159 | − | 0.773203i | \(-0.281347\pi\) | |||||||
\(458\) | −25.3589 | + | 5.39020i | −1.18494 | + | 0.251868i | ||||
\(459\) | −28.8526 | + | 13.2788i | −1.34672 | + | 0.619803i | ||||
\(460\) | −0.0350211 | − | 0.333203i | −0.00163287 | − | 0.0155357i | ||||
\(461\) | −23.8811 | −1.11225 | −0.556126 | − | 0.831098i | \(-0.687713\pi\) | ||||
−0.556126 | + | 0.831098i | \(0.687713\pi\) | |||||||
\(462\) | 14.6058 | + | 4.20363i | 0.679523 | + | 0.195571i | ||||
\(463\) | −9.27277 | −0.430942 | −0.215471 | − | 0.976510i | \(-0.569129\pi\) | ||||
−0.215471 | + | 0.976510i | \(0.569129\pi\) | |||||||
\(464\) | −0.923771 | − | 8.78910i | −0.0428850 | − | 0.408024i | ||||
\(465\) | −0.807115 | + | 2.24649i | −0.0374291 | + | 0.104179i | ||||
\(466\) | −16.4864 | + | 3.50429i | −0.763716 | + | 0.162333i | ||||
\(467\) | 11.7726 | + | 26.4416i | 0.544769 | + | 1.22357i | 0.950827 | + | 0.309723i | \(0.100236\pi\) |
−0.406058 | + | 0.913847i | \(0.633097\pi\) | |||||||
\(468\) | −0.283344 | − | 1.90145i | −0.0130976 | − | 0.0878943i | ||||
\(469\) | 19.1809 | + | 20.5325i | 0.885693 | + | 0.948104i | ||||
\(470\) | −0.203076 | − | 0.625002i | −0.00936718 | − | 0.0288292i | ||||
\(471\) | −22.9971 | + | 12.3505i | −1.05965 | + | 0.569080i | ||||
\(472\) | −7.66232 | + | 4.42384i | −0.352687 | + | 0.203624i | ||||
\(473\) | −3.59849 | − | 0.987450i | −0.165459 | − | 0.0454030i | ||||
\(474\) | 2.90534 | − | 21.3140i | 0.133447 | − | 0.978986i | ||||
\(475\) | −3.18722 | − | 4.38683i | −0.146240 | − | 0.201282i | ||||
\(476\) | −5.27869 | − | 15.2864i | −0.241949 | − | 0.700653i | ||||
\(477\) | −22.0109 | + | 10.9625i | −1.00781 | + | 0.501939i | ||||
\(478\) | 12.5018 | − | 5.56615i | 0.571818 | − | 0.254590i | ||||
\(479\) | −3.33424 | + | 31.7232i | −0.152345 | + | 1.44947i | 0.604880 | + | 0.796317i | \(0.293221\pi\) |
−0.757225 | + | 0.653154i | \(0.773446\pi\) | |||||||
\(480\) | 0.394337 | − | 0.268371i | 0.0179989 | − | 0.0122494i | ||||
\(481\) | −0.963505 | + | 4.53293i | −0.0439320 | + | 0.206684i | ||||
\(482\) | 1.86674 | + | 2.56934i | 0.0850275 | + | 0.117030i | ||||
\(483\) | 4.46929 | + | 3.33270i | 0.203360 | + | 0.151643i | ||||
\(484\) | 10.4200 | + | 3.52479i | 0.473635 | + | 0.160218i | ||||
\(485\) | −2.40010 | − | 1.38570i | −0.108983 | − | 0.0629213i | ||||
\(486\) | 15.5697 | + | 0.764509i | 0.706256 | + | 0.0346788i | ||||
\(487\) | 12.8020 | − | 14.2181i | 0.580114 | − | 0.644281i | −0.379637 | − | 0.925136i | \(-0.623951\pi\) |
0.959750 | + | 0.280854i | \(0.0906177\pi\) | |||||||
\(488\) | −3.29160 | + | 2.96377i | −0.149004 | + | 0.134164i | ||||
\(489\) | 8.74699 | − | 35.7130i | 0.395553 | − | 1.61500i | ||||
\(490\) | −1.07515 | + | 1.60009i | −0.0485705 | + | 0.0722846i | ||||
\(491\) | −8.01785 | + | 24.6764i | −0.361841 | + | 1.11363i | 0.590095 | + | 0.807334i | \(0.299090\pi\) |
−0.951936 | + | 0.306297i | \(0.900910\pi\) | |||||||
\(492\) | −0.935982 | − | 5.18236i | −0.0421973 | − | 0.233639i | ||||
\(493\) | −49.3492 | − | 21.9717i | −2.22258 | − | 0.989555i | ||||
\(494\) | 0.352828 | + | 0.611116i | 0.0158745 | + | 0.0274954i | ||||
\(495\) | 2.35197 | + | 1.40590i | 0.105713 | + | 0.0631906i | ||||
\(496\) | −5.00442 | −0.224705 | ||||||||
\(497\) | 11.6293 | − | 27.4645i | 0.521645 | − | 1.23195i | ||||
\(498\) | −5.58282 | + | 4.72417i | −0.250172 | + | 0.211695i | ||||
\(499\) | 14.2687 | + | 15.8470i | 0.638755 | + | 0.709410i | 0.972408 | − | 0.233286i | \(-0.0749480\pi\) |
−0.333653 | + | 0.942696i | \(0.608281\pi\) | |||||||
\(500\) | −2.71808 | − | 0.285681i | −0.121556 | − | 0.0127761i | ||||
\(501\) | 6.64817 | − | 1.93623i | 0.297018 | − | 0.0865042i | ||||
\(502\) | 7.37430 | − | 6.63985i | 0.329131 | − | 0.296351i | ||||
\(503\) | 10.3394 | + | 31.8215i | 0.461013 | + | 1.41885i | 0.863929 | + | 0.503614i | \(0.167997\pi\) |
−0.402916 | + | 0.915237i | \(0.632003\pi\) | |||||||
\(504\) | −1.16960 | + | 7.85061i | −0.0520980 | + | 0.349694i | ||||
\(505\) | 1.44942i | 0.0644982i | ||||||||
\(506\) | 3.12041 | + | 2.55809i | 0.138719 | + | 0.113721i | ||||
\(507\) | −13.3533 | + | 17.2385i | −0.593042 | + | 0.765587i | ||||
\(508\) | −0.0352910 | + | 0.0792649i | −0.00156578 | + | 0.00351681i | ||||
\(509\) | −1.20700 | + | 5.67847i | −0.0534991 | + | 0.251694i | −0.996768 | − | 0.0803369i | \(-0.974400\pi\) |
0.943269 | + | 0.332031i | \(0.107734\pi\) | |||||||
\(510\) | −0.215454 | − | 2.90767i | −0.00954045 | − | 0.128754i | ||||
\(511\) | −12.7735 | − | 27.3297i | −0.565067 | − | 1.20899i | ||||
\(512\) | 0.809017 | + | 0.587785i | 0.0357538 | + | 0.0259767i | ||||
\(513\) | −5.41945 | + | 1.83579i | −0.239275 | + | 0.0810521i | ||||
\(514\) | 15.5229 | + | 13.9769i | 0.684685 | + | 0.616493i | ||||
\(515\) | 1.48361 | − | 3.33225i | 0.0653757 | − | 0.146836i | ||||
\(516\) | 0.263199 | − | 1.93087i | 0.0115867 | − | 0.0850016i | ||||
\(517\) | 7.03004 | + | 3.63541i | 0.309181 | + | 0.159885i | ||||
\(518\) | 9.26124 | − | 16.7427i | 0.406915 | − | 0.735631i | ||||
\(519\) | 1.11373 | + | 0.689524i | 0.0488872 | + | 0.0302667i | ||||
\(520\) | 0.172619 | + | 0.0366914i | 0.00756987 | + | 0.00160902i | ||||
\(521\) | −1.69719 | − | 7.98464i | −0.0743552 | − | 0.349814i | 0.925205 | − | 0.379468i | \(-0.123893\pi\) |
−0.999560 | + | 0.0296540i | \(0.990559\pi\) | |||||||
\(522\) | 16.4956 | + | 20.7560i | 0.721992 | + | 0.908464i | ||||
\(523\) | 2.40958 | + | 5.41201i | 0.105364 | + | 0.236651i | 0.958532 | − | 0.284985i | \(-0.0919886\pi\) |
−0.853168 | + | 0.521636i | \(0.825322\pi\) | |||||||
\(524\) | −3.65204 | + | 11.2398i | −0.159540 | + | 0.491013i | ||||
\(525\) | 16.9555 | − | 14.8898i | 0.739999 | − | 0.649842i | ||||
\(526\) | 15.6176 | − | 11.3468i | 0.680959 | − | 0.494746i | ||||
\(527\) | −15.2948 | + | 26.4913i | −0.666251 | + | 1.15398i | ||||
\(528\) | −1.10663 | + | 5.63696i | −0.0481599 | + | 0.245317i | ||||
\(529\) | −10.7600 | − | 18.6368i | −0.467825 | − | 0.810296i | ||||
\(530\) | −0.235951 | − | 2.24492i | −0.0102490 | − | 0.0975131i | ||||
\(531\) | 12.2663 | − | 23.5388i | 0.532311 | − | 1.02150i | ||||
\(532\) | −0.657902 | − | 2.83821i | −0.0285237 | − | 0.123052i | ||||
\(533\) | 1.14522 | − | 1.57626i | 0.0496048 | − | 0.0682752i | ||||
\(534\) | −21.7509 | + | 22.7116i | −0.941252 | + | 0.982825i | ||||
\(535\) | 0.389748 | + | 1.83362i | 0.0168503 | + | 0.0792743i | ||||
\(536\) | −7.10618 | + | 7.89221i | −0.306940 | + | 0.340891i | ||||
\(537\) | −1.48895 | − | 2.77249i | −0.0642530 | − | 0.119642i | ||||
\(538\) | − | 21.6384i | − | 0.932897i | ||||||
\(539\) | −4.33314 | − | 22.8084i | −0.186642 | − | 0.982428i | ||||
\(540\) | −0.565714 | + | 1.31442i | −0.0243445 | + | 0.0565635i | ||||
\(541\) | 15.4635 | − | 1.62528i | 0.664829 | − | 0.0698764i | 0.233898 | − | 0.972261i | \(-0.424852\pi\) |
0.430931 | + | 0.902385i | \(0.358185\pi\) | |||||||
\(542\) | −17.0856 | − | 15.3840i | −0.733890 | − | 0.660798i | ||||
\(543\) | −20.2106 | − | 29.6969i | −0.867322 | − | 1.27442i | ||||
\(544\) | 5.58406 | − | 2.48618i | 0.239415 | − | 0.106594i | ||||
\(545\) | 1.05651 | + | 0.767602i | 0.0452561 | + | 0.0328805i | ||||
\(546\) | −2.39699 | + | 1.69644i | −0.102582 | + | 0.0726011i | ||||
\(547\) | −17.7453 | + | 5.76579i | −0.758734 | + | 0.246527i | −0.662735 | − | 0.748854i | \(-0.730604\pi\) |
−0.0959986 | + | 0.995381i | \(0.530604\pi\) | |||||||
\(548\) | 8.55726 | − | 0.899404i | 0.365548 | − | 0.0384206i | ||||
\(549\) | 3.55649 | − | 12.8031i | 0.151787 | − | 0.546421i | ||||
\(550\) | 12.7536 | − | 10.2013i | 0.543816 | − | 0.434984i | ||||
\(551\) | −8.42794 | − | 4.86588i | −0.359043 | − | 0.207293i | ||||
\(552\) | −1.10921 | + | 1.79161i | −0.0472111 | + | 0.0762559i | ||||
\(553\) | −31.0591 | + | 10.7253i | −1.32077 | + | 0.456086i | ||||
\(554\) | 29.2451 | + | 9.50230i | 1.24250 | + | 0.403714i | ||||
\(555\) | 2.38591 | − | 2.49129i | 0.101276 | − | 0.105750i | ||||
\(556\) | −9.31685 | − | 0.979240i | −0.395122 | − | 0.0415290i | ||||
\(557\) | 44.9497 | − | 9.55435i | 1.90458 | − | 0.404831i | 0.904800 | − | 0.425837i | \(-0.140020\pi\) |
0.999779 | + | 0.0210059i | \(0.00668688\pi\) | |||||||
\(558\) | 12.6655 | − | 8.06121i | 0.536173 | − | 0.341258i | ||||
\(559\) | 0.583282 | − | 0.423779i | 0.0246702 | − | 0.0179239i | ||||
\(560\) | −0.637580 | − | 0.352679i | −0.0269427 | − | 0.0149034i | ||||
\(561\) | 26.4577 | + | 23.0861i | 1.11704 | + | 0.974694i | ||||
\(562\) | −3.28077 | + | 5.68246i | −0.138391 | + | 0.239700i | ||||
\(563\) | −2.94216 | − | 1.30993i | −0.123997 | − | 0.0552072i | 0.343800 | − | 0.939043i | \(-0.388286\pi\) |
−0.467798 | + | 0.883836i | \(0.654952\pi\) | |||||||
\(564\) | −1.39749 | + | 3.88973i | −0.0588451 | + | 0.163787i | ||||
\(565\) | −0.275070 | − | 0.305496i | −0.0115723 | − | 0.0128523i | ||||
\(566\) | −11.9900 | + | 16.5028i | −0.503977 | + | 0.693665i | ||||
\(567\) | −9.68583 | − | 21.7528i | −0.406766 | − | 0.913532i | ||||
\(568\) | 10.7211 | + | 3.48350i | 0.449848 | + | 0.146165i | ||||
\(569\) | −15.9791 | − | 3.39647i | −0.669880 | − | 0.142387i | −0.139597 | − | 0.990208i | \(-0.544581\pi\) |
−0.530282 | + | 0.847821i | \(0.677914\pi\) | |||||||
\(570\) | 0.0161527 | − | 0.525013i | 0.000676561 | − | 0.0219904i | ||||
\(571\) | 36.1012 | − | 20.8430i | 1.51079 | − | 0.872253i | 0.510865 | − | 0.859661i | \(-0.329325\pi\) |
0.999921 | − | 0.0125921i | \(-0.00400830\pi\) | |||||||
\(572\) | −1.78939 | + | 1.14680i | −0.0748181 | + | 0.0479501i | ||||
\(573\) | −18.4141 | + | 7.52884i | −0.769261 | + | 0.314522i | ||||
\(574\) | −6.42014 | + | 4.84685i | −0.267972 | + | 0.202303i | ||||
\(575\) | 5.69743 | − | 1.85121i | 0.237599 | − | 0.0772007i | ||||
\(576\) | −2.99433 | − | 0.184423i | −0.124764 | − | 0.00768429i | ||||
\(577\) | −4.05864 | + | 38.6154i | −0.168963 | + | 1.60758i | 0.501176 | + | 0.865345i | \(0.332901\pi\) |
−0.670140 | + | 0.742235i | \(0.733766\pi\) | |||||||
\(578\) | 2.12850 | − | 20.2513i | 0.0885338 | − | 0.842343i | ||||
\(579\) | −6.79629 | − | 3.27993i | −0.282444 | − | 0.136309i | ||||
\(580\) | −2.31467 | + | 0.752083i | −0.0961116 | + | 0.0312286i | ||||
\(581\) | 10.2872 | + | 4.35590i | 0.426784 | + | 0.180713i | ||||
\(582\) | 6.59652 | + | 16.1339i | 0.273435 | + | 0.668770i | ||||
\(583\) | 21.0234 | + | 17.2348i | 0.870701 | + | 0.713794i | ||||
\(584\) | 9.87460 | − | 5.70110i | 0.408614 | − | 0.235913i | ||||
\(585\) | −0.495979 | + | 0.185198i | −0.0205062 | + | 0.00765699i | ||||
\(586\) | 8.71955 | + | 1.85340i | 0.360201 | + | 0.0765631i | ||||
\(587\) | 19.6492 | + | 6.38441i | 0.811009 | + | 0.263513i | 0.685025 | − | 0.728520i | \(-0.259791\pi\) |
0.125984 | + | 0.992032i | \(0.459791\pi\) | |||||||
\(588\) | 11.5086 | − | 3.81485i | 0.474605 | − | 0.157322i | ||||
\(589\) | −3.23917 | + | 4.45833i | −0.133468 | + | 0.183702i | ||||
\(590\) | 1.63040 | + | 1.81074i | 0.0671226 | + | 0.0745472i | ||||
\(591\) | 27.1736 | + | 9.76287i | 1.11777 | + | 0.401591i | ||||
\(592\) | 6.60653 | + | 2.94142i | 0.271527 | + | 0.120892i | ||||
\(593\) | 4.92618 | − | 8.53239i | 0.202294 | − | 0.350383i | −0.746973 | − | 0.664854i | \(-0.768494\pi\) |
0.949267 | + | 0.314471i | \(0.101827\pi\) | |||||||
\(594\) | −6.27941 | − | 16.0490i | −0.257647 | − | 0.658497i | ||||
\(595\) | −3.81555 | + | 2.29721i | −0.156422 | + | 0.0941766i | ||||
\(596\) | −11.5293 | + | 8.37651i | −0.472258 | + | 0.343115i | ||||
\(597\) | −1.67642 | − | 9.28202i | −0.0686113 | − | 0.379888i | ||||
\(598\) | −0.762565 | + | 0.162088i | −0.0311836 | + | 0.00662828i | ||||
\(599\) | −2.87618 | − | 0.302299i | −0.117518 | − | 0.0123516i | 0.0455871 | − | 0.998960i | \(-0.485484\pi\) |
−0.163105 | + | 0.986609i | \(0.552151\pi\) | |||||||
\(600\) | 6.15971 | + | 5.89915i | 0.251469 | + | 0.240832i | ||||
\(601\) | 3.36832 | + | 1.09443i | 0.137396 | + | 0.0446428i | 0.376908 | − | 0.926251i | \(-0.376987\pi\) |
−0.239512 | + | 0.970894i | \(0.576987\pi\) | |||||||
\(602\) | −2.81369 | + | 0.971618i | −0.114677 | + | 0.0396002i | ||||
\(603\) | 5.27183 | − | 31.4209i | 0.214685 | − | 1.27956i | ||||
\(604\) | 9.06517 | + | 5.23378i | 0.368856 | + | 0.212959i | ||||
\(605\) | 0.352871 | − | 3.00871i | 0.0143462 | − | 0.122321i | ||||
\(606\) | 5.58245 | − | 7.20666i | 0.226772 | − | 0.292751i | ||||
\(607\) | −11.0904 | + | 1.16565i | −0.450146 | + | 0.0473123i | −0.326890 | − | 0.945063i | \(-0.606001\pi\) |
−0.123257 | + | 0.992375i | \(0.539334\pi\) | |||||||
\(608\) | 1.04729 | − | 0.340286i | 0.0424733 | − | 0.0138004i | ||||
\(609\) | 16.9304 | − | 36.7899i | 0.686054 | − | 1.49080i | ||||
\(610\) | 0.986836 | + | 0.716978i | 0.0399558 | + | 0.0290296i | ||||
\(611\) | −1.39696 | + | 0.621966i | −0.0565149 | + | 0.0251621i | ||||
\(612\) | −10.1277 | + | 15.2871i | −0.409388 | + | 0.617944i | ||||
\(613\) | 5.82568 | + | 5.24547i | 0.235297 | + | 0.211862i | 0.778341 | − | 0.627842i | \(-0.216062\pi\) |
−0.543044 | + | 0.839704i | \(0.682728\pi\) | |||||||
\(614\) | 18.0327 | − | 1.89532i | 0.727743 | − | 0.0764888i | ||||
\(615\) | −1.34241 | + | 0.548860i | −0.0541312 | + | 0.0221322i | ||||
\(616\) | 8.44733 | − | 2.37541i | 0.340353 | − | 0.0957080i | ||||
\(617\) | 31.5067i | 1.26841i | 0.773165 | + | 0.634205i | \(0.218673\pi\) | ||||
−0.773165 | + | 0.634205i | \(0.781327\pi\) | |||||||
\(618\) | −20.2109 | + | 10.8541i | −0.813001 | + | 0.436618i | ||||
\(619\) | 8.37604 | − | 9.30253i | 0.336661 | − | 0.373900i | −0.550915 | − | 0.834562i | \(-0.685721\pi\) |
0.887576 | + | 0.460661i | \(0.152388\pi\) | |||||||
\(620\) | 0.286541 | + | 1.34807i | 0.0115077 | + | 0.0541397i | ||||
\(621\) | −0.0787020 | − | 6.32105i | −0.00315820 | − | 0.253655i | ||||
\(622\) | −11.7247 | + | 16.1376i | −0.470117 | + | 0.647061i | ||||
\(623\) | 45.9496 | + | 14.0037i | 1.84093 | + | 0.561047i | ||||
\(624\) | −0.716966 | − | 0.847281i | −0.0287016 | − | 0.0339184i | ||||
\(625\) | −2.49490 | − | 23.7374i | −0.0997959 | − | 0.949495i | ||||
\(626\) | −12.2926 | − | 21.2914i | −0.491311 | − | 0.850975i | ||||
\(627\) | 4.30558 | + | 4.63446i | 0.171948 | + | 0.185083i | ||||
\(628\) | −7.53548 | + | 13.0518i | −0.300698 | + | 0.520825i | ||||
\(629\) | 35.7619 | − | 25.9826i | 1.42592 | − | 1.03599i | ||||
\(630\) | 2.18173 | − | 0.134446i | 0.0869222 | − | 0.00535645i | ||||
\(631\) | 11.8671 | − | 36.5231i | 0.472420 | − | 1.45396i | −0.376985 | − | 0.926219i | \(-0.623039\pi\) |
0.849405 | − | 0.527741i | \(-0.176961\pi\) | |||||||
\(632\) | −5.05145 | − | 11.3457i | −0.200936 | − | 0.451309i | ||||
\(633\) | −10.0179 | − | 34.3972i | −0.398177 | − | 1.36717i | ||||
\(634\) | −3.29061 | − | 15.4811i | −0.130687 | − | 0.614833i | ||||
\(635\) | 0.0233727 | + | 0.00496802i | 0.000927517 | + | 0.000197150i | ||||
\(636\) | −7.47318 | + | 12.0708i | −0.296331 | + | 0.478637i | ||||
\(637\) | 3.96436 | + | 2.09889i | 0.157074 | + | 0.0831609i | ||||
\(638\) | 13.4636 | − | 26.0355i | 0.533030 | − | 1.03076i | ||||
\(639\) | −32.7450 | + | 8.45352i | −1.29537 | + | 0.334416i | ||||
\(640\) | 0.112013 | − | 0.251585i | 0.00442769 | − | 0.00994475i | ||||
\(641\) | 17.1858 | + | 15.4741i | 0.678797 | + | 0.611192i | 0.934669 | − | 0.355519i | \(-0.115696\pi\) |
−0.255872 | + | 0.966711i | \(0.582362\pi\) | |||||||
\(642\) | 5.12435 | − | 10.6181i | 0.202242 | − | 0.419063i | ||||
\(643\) | −2.06467 | − | 1.50007i | −0.0814226 | − | 0.0591570i | 0.546329 | − | 0.837570i | \(-0.316025\pi\) |
−0.627752 | + | 0.778414i | \(0.716025\pi\) | |||||||
\(644\) | 3.20677 | + | 0.277694i | 0.126364 | + | 0.0109427i | ||||
\(645\) | −0.535198 | + | 0.0396573i | −0.0210734 | + | 0.00156150i | ||||
\(646\) | 1.39946 | − | 6.58394i | 0.0550610 | − | 0.259041i | ||||
\(647\) | −11.2366 | + | 25.2378i | −0.441756 | + | 0.992199i | 0.546227 | + | 0.837637i | \(0.316063\pi\) |
−0.987983 | + | 0.154563i | \(0.950603\pi\) | |||||||
\(648\) | 7.87530 | − | 4.35657i | 0.309371 | − | 0.171142i | ||||
\(649\) | −29.2945 | − | 1.71201i | −1.14991 | − | 0.0672022i | ||||
\(650\) | 3.15547i | 0.123768i | ||||||||
\(651\) | −19.7167 | − | 11.7123i | −0.772760 | − | 0.459041i | ||||
\(652\) | −6.55992 | − | 20.1894i | −0.256906 | − | 0.790677i | ||||
\(653\) | −8.39627 | + | 7.56003i | −0.328571 | + | 0.295847i | −0.816861 | − | 0.576835i | \(-0.804288\pi\) |
0.488290 | + | 0.872682i | \(0.337621\pi\) | |||||||
\(654\) | −2.29667 | − | 7.88579i | −0.0898070 | − | 0.308359i | ||||
\(655\) | 3.23684 | + | 0.340205i | 0.126474 | + | 0.0132929i | ||||
\(656\) | −2.03445 | − | 2.25949i | −0.0794321 | − | 0.0882183i | ||||
\(657\) | −15.8078 | + | 30.3349i | −0.616721 | + | 1.18348i | ||||
\(658\) | 6.26576 | − | 0.774973i | 0.244265 | − | 0.0302116i | ||||
\(659\) | −34.2568 | −1.33445 | −0.667227 | − | 0.744855i | \(-0.732519\pi\) | ||||
−0.667227 | + | 0.744855i | \(0.732519\pi\) | |||||||
\(660\) | 1.58182 | − | 0.0246599i | 0.0615724 | − | 0.000959885i | ||||
\(661\) | −14.5364 | − | 25.1779i | −0.565402 | − | 0.979306i | −0.997012 | − | 0.0772451i | \(-0.975388\pi\) |
0.431610 | − | 0.902060i | \(-0.357946\pi\) | |||||||
\(662\) | 4.57355 | + | 2.03627i | 0.177756 | + | 0.0791421i | ||||
\(663\) | −6.67640 | + | 1.20582i | −0.259290 | + | 0.0468301i | ||||
\(664\) | −1.30479 | + | 4.01573i | −0.0506356 | + | 0.155840i | ||||
\(665\) | −0.726876 | + | 0.339732i | −0.0281870 | + | 0.0131742i | ||||
\(666\) | −21.4583 | + | 3.19761i | −0.831493 | + | 0.123905i | ||||
\(667\) | 7.98995 | − | 7.19419i | 0.309372 | − | 0.278560i | ||||
\(668\) | 2.67505 | − | 2.97094i | 0.103501 | − | 0.114949i | ||||
\(669\) | 0.300442 | − | 9.76531i | 0.0116158 | − | 0.377549i | ||||
\(670\) | 2.53285 | + | 1.46234i | 0.0978525 | + | 0.0564952i | ||||
\(671\) | −14.5230 | + | 2.21075i | −0.560653 | + | 0.0853450i | ||||
\(672\) | 1.81177 | + | 4.20921i | 0.0698907 | + | 0.162374i | ||||
\(673\) | 6.21543 | + | 8.55481i | 0.239587 | + | 0.329764i | 0.911831 | − | 0.410567i | \(-0.134669\pi\) |
−0.672243 | + | 0.740330i | \(0.734669\pi\) | |||||||
\(674\) | 7.22544 | − | 33.9930i | 0.278314 | − | 1.30936i | ||||
\(675\) | −25.0918 | − | 5.00777i | −0.965785 | − | 0.192749i | ||||
\(676\) | −1.31595 | + | 12.5204i | −0.0506133 | + | 0.481554i | ||||
\(677\) | 39.3125 | − | 17.5031i | 1.51090 | − | 0.672697i | 0.526750 | − | 0.850020i | \(-0.323410\pi\) |
0.984153 | + | 0.177323i | \(0.0567438\pi\) | |||||||
\(678\) | 0.191055 | + | 2.57840i | 0.00733742 | + | 0.0990227i | ||||
\(679\) | 17.4499 | − | 20.1098i | 0.669667 | − | 0.771743i | ||||
\(680\) | −0.989447 | − | 1.36186i | −0.0379436 | − | 0.0522248i | ||||
\(681\) | −41.2269 | − | 5.61969i | −1.57982 | − | 0.215347i | ||||
\(682\) | −13.8654 | − | 9.12336i | −0.530935 | − | 0.349351i | ||||
\(683\) | 7.54826 | − | 4.35799i | 0.288826 | − | 0.166754i | −0.348586 | − | 0.937277i | \(-0.613338\pi\) |
0.637412 | + | 0.770523i | \(0.280005\pi\) | |||||||
\(684\) | −2.10241 | + | 2.54821i | −0.0803877 | + | 0.0974334i | ||||
\(685\) | −0.732245 | − | 2.25362i | −0.0279776 | − | 0.0861063i | ||||
\(686\) | −13.1306 | − | 13.0610i | −0.501327 | − | 0.498670i | ||||
\(687\) | 10.6824 | − | 43.6151i | 0.407559 | − | 1.66402i | ||||
\(688\) | −0.457617 | − | 1.02783i | −0.0174465 | − | 0.0391855i | ||||
\(689\) | −5.13770 | + | 1.09205i | −0.195731 | + | 0.0416039i | ||||
\(690\) | 0.546126 | + | 0.196211i | 0.0207907 | + | 0.00746962i | ||||
\(691\) | 0.153012 | + | 1.45581i | 0.00582086 | + | 0.0553818i | 0.997047 | − | 0.0767970i | \(-0.0244693\pi\) |
−0.991226 | + | 0.132179i | \(0.957803\pi\) | |||||||
\(692\) | 0.756270 | 0.0287491 | ||||||||
\(693\) | −17.5527 | + | 19.6190i | −0.666771 | + | 0.745263i | ||||
\(694\) | −5.69459 | −0.216164 | ||||||||
\(695\) | 0.269676 | + | 2.56580i | 0.0102294 | + | 0.0973263i | ||||
\(696\) | 14.4055 | + | 5.17557i | 0.546039 | + | 0.196179i | ||||
\(697\) | −18.1786 | + | 3.86399i | −0.688565 | + | 0.146359i | ||||
\(698\) | 0.656690 | + | 1.47495i | 0.0248561 | + | 0.0558276i | ||||
\(699\) | 6.94485 | − | 28.3551i | 0.262678 | − | 1.07249i | ||||
\(700\) | 3.79801 | − | 12.4622i | 0.143551 | − | 0.471027i | ||||
\(701\) | −2.37893 | − | 7.32158i | −0.0898508 | − | 0.276532i | 0.896027 | − | 0.444000i | \(-0.146441\pi\) |
−0.985878 | + | 0.167468i | \(0.946441\pi\) | |||||||
\(702\) | 3.17936 | + | 0.989448i | 0.119997 | + | 0.0373443i | ||||
\(703\) | 6.89660 | − | 3.98176i | 0.260110 | − | 0.150175i | ||||
\(704\) | 1.16993 | + | 3.10343i | 0.0440932 | + | 0.116965i | ||||
\(705\) | 1.12782 | + | 0.153734i | 0.0424760 | + | 0.00578996i | ||||
\(706\) | 2.27594 | + | 3.13256i | 0.0856561 | + | 0.117896i | ||||
\(707\) | −13.6713 | − | 2.64486i | −0.514162 | − | 0.0994704i | ||||
\(708\) | −1.13243 | − | 15.2828i | −0.0425592 | − | 0.574361i | ||||
\(709\) | 41.7752 | − | 18.5995i | 1.56890 | − | 0.698519i | 0.575996 | − | 0.817452i | \(-0.304614\pi\) |
0.992902 | + | 0.118933i | \(0.0379475\pi\) | |||||||
\(710\) | 0.324506 | − | 3.08746i | 0.0121785 | − | 0.115870i | ||||
\(711\) | 31.0604 | + | 20.5775i | 1.16486 | + | 0.771717i | ||||
\(712\) | −3.77483 | + | 17.7592i | −0.141468 | + | 0.665554i | ||||
\(713\) | −3.57860 | − | 4.92552i | −0.134020 | − | 0.184462i | ||||
\(714\) | 27.8191 | + | 3.27364i | 1.04110 | + | 0.122513i | ||||
\(715\) | 0.411376 | + | 0.416355i | 0.0153846 | + | 0.0155708i | ||||
\(716\) | −1.57351 | − | 0.908464i | −0.0588047 | − | 0.0339509i | ||||
\(717\) | −0.728905 | + | 23.6917i | −0.0272215 | + | 0.884784i | ||||
\(718\) | 8.86611 | − | 9.84681i | 0.330880 | − | 0.367480i | ||||
\(719\) | 19.1451 | − | 17.2383i | 0.713991 | − | 0.642881i | −0.229870 | − | 0.973221i | \(-0.573830\pi\) |
0.943862 | + | 0.330340i | \(0.107164\pi\) | |||||||
\(720\) | 0.121769 | + | 0.817158i | 0.00453805 | + | 0.0304537i | ||||
\(721\) | 28.7234 | + | 20.0744i | 1.06971 | + | 0.747611i | ||||
\(722\) | −5.49660 | + | 16.9168i | −0.204562 | + | 0.629578i | ||||
\(723\) | −5.41321 | + | 0.977676i | −0.201319 | + | 0.0363601i | ||||
\(724\) | −18.9464 | − | 8.43550i | −0.704139 | − | 0.313503i | ||||
\(725\) | −21.7586 | − | 37.6871i | −0.808096 | − | 1.39966i | ||||
\(726\) | −13.3426 | + | 13.6005i | −0.495191 | + | 0.504764i | ||||
\(727\) | 48.6736 | 1.80521 | 0.902603 | − | 0.430474i | \(-0.141654\pi\) | ||||
0.902603 | + | 0.430474i | \(0.141654\pi\) | |||||||
\(728\) | −0.661076 | + | 1.56124i | −0.0245011 | + | 0.0578634i | ||||
\(729\) | −12.9136 | + | 23.7116i | −0.478283 | + | 0.878206i | ||||
\(730\) | −2.10113 | − | 2.33354i | −0.0777664 | − | 0.0863684i | ||||
\(731\) | −6.83948 | − | 0.718859i | −0.252967 | − | 0.0265880i | ||||
\(732\) | −2.14521 | − | 7.36571i | −0.0792891 | − | 0.272245i | ||||
\(733\) | 31.1698 | − | 28.0654i | 1.15128 | − | 1.03662i | 0.152452 | − | 0.988311i | \(-0.451283\pi\) |
0.998832 | − | 0.0483098i | \(-0.0153835\pi\) | |||||||
\(734\) | −2.89620 | − | 8.91357i | −0.106901 | − | 0.329006i | ||||
\(735\) | −1.68658 | − | 2.88170i | −0.0622104 | − | 0.106293i | ||||
\(736\) | 1.21658i | 0.0448438i | ||||||||
\(737\) | −34.0766 | + | 8.91147i | −1.25523 | + | 0.328258i | ||||
\(738\) | 8.78856 | + | 2.44132i | 0.323511 | + | 0.0898662i | ||||
\(739\) | −7.30858 | + | 16.4153i | −0.268851 | + | 0.603848i | −0.996636 | − | 0.0819568i | \(-0.973883\pi\) |
0.727785 | + | 0.685805i | \(0.240550\pi\) | |||||||
\(740\) | 0.414072 | − | 1.94806i | 0.0152216 | − | 0.0716120i | ||||
\(741\) | −1.21889 | + | 0.0903178i | −0.0447770 | + | 0.00331791i | ||||
\(742\) | 21.6053 | + | 1.87094i | 0.793154 | + | 0.0686842i | ||||
\(743\) | 16.6041 | + | 12.0636i | 0.609145 | + | 0.442570i | 0.849113 | − | 0.528211i | \(-0.177137\pi\) |
−0.239968 | + | 0.970781i | \(0.577137\pi\) | |||||||
\(744\) | 3.76739 | − | 7.80636i | 0.138119 | − | 0.286195i | ||||
\(745\) | 2.91657 | + | 2.62609i | 0.106855 | + | 0.0962124i | ||||
\(746\) | 5.30198 | − | 11.9084i | 0.194119 | − | 0.435999i | ||||
\(747\) | −3.16637 | − | 12.2650i | −0.115852 | − | 0.448754i | ||||
\(748\) | 20.0039 | + | 3.29177i | 0.731415 | + | 0.120359i | ||||
\(749\) | −18.0064 | + | 0.330257i | −0.657940 | + | 0.0120673i | ||||
\(750\) | 2.49184 | − | 4.02485i | 0.0909891 | − | 0.146967i | ||||
\(751\) | 5.82008 | + | 1.23710i | 0.212378 | + | 0.0451422i | 0.312872 | − | 0.949795i | \(-0.398709\pi\) |
−0.100494 | + | 0.994938i | \(0.532042\pi\) | |||||||
\(752\) | 0.496136 | + | 2.33414i | 0.0180922 | + | 0.0851172i | ||||
\(753\) | 4.80599 | + | 16.5017i | 0.175140 | + | 0.601356i | ||||
\(754\) | 2.30343 | + | 5.17359i | 0.0838859 | + | 0.188411i | ||||
\(755\) | 0.890802 | − | 2.74161i | 0.0324196 | − | 0.0997773i | ||||
\(756\) | −11.3656 | − | 7.73449i | −0.413364 | − | 0.281301i | ||||
\(757\) | 29.7626 | − | 21.6238i | 1.08174 | − | 0.785930i | 0.103754 | − | 0.994603i | \(-0.466914\pi\) |
0.977985 | + | 0.208673i | \(0.0669145\pi\) | |||||||
\(758\) | −2.16574 | + | 3.75118i | −0.0786634 | + | 0.136249i | ||||
\(759\) | −6.33943 | + | 2.94174i | −0.230107 | + | 0.106779i | ||||
\(760\) | −0.151630 | − | 0.262631i | −0.00550020 | − | 0.00952662i | ||||
\(761\) | 1.46847 | + | 13.9716i | 0.0532320 | + | 0.506469i | 0.988357 | + | 0.152151i | \(0.0486201\pi\) |
−0.935125 | + | 0.354317i | \(0.884713\pi\) | |||||||
\(762\) | −0.0970773 | − | 0.114722i | −0.00351674 | − | 0.00415594i | ||||
\(763\) | −9.16814 | + | 8.56462i | −0.331909 | + | 0.310060i | ||||
\(764\) | −6.75112 | + | 9.29212i | −0.244247 | + | 0.336177i | ||||
\(765\) | 4.69786 | + | 1.85285i | 0.169851 | + | 0.0669900i | ||||
\(766\) | 3.87623 | + | 18.2362i | 0.140054 | + | 0.658902i | ||||
\(767\) | 3.79378 | − | 4.21342i | 0.136986 | − | 0.152138i | ||||
\(768\) | −1.52592 | + | 0.819488i | −0.0550620 | + | 0.0295707i | ||||
\(769\) | 46.4499i | 1.67503i | 0.546416 | + | 0.837514i | \(0.315992\pi\) | ||||
−0.546416 | + | 0.837514i | \(0.684008\pi\) | |||||||
\(770\) | −1.12355 | − | 2.13949i | −0.0404900 | − | 0.0771020i | ||||
\(771\) | −33.4883 | + | 13.6921i | −1.20605 | + | 0.493108i | ||||
\(772\) | −4.33302 | + | 0.455419i | −0.155949 | + | 0.0163909i | ||||
\(773\) | −8.66828 | − | 7.80495i | −0.311776 | − | 0.280725i | 0.498355 | − | 0.866973i | \(-0.333938\pi\) |
−0.810131 | + | 0.586248i | \(0.800604\pi\) | |||||||
\(774\) | 2.81381 | + | 1.86414i | 0.101140 | + | 0.0670053i | ||||
\(775\) | −22.5121 | + | 10.0230i | −0.808658 | + | 0.360038i | ||||
\(776\) | 8.14146 | + | 5.91512i | 0.292261 | + | 0.212340i | ||||
\(777\) | 19.1448 | + | 27.0507i | 0.686816 | + | 0.970437i | ||||
\(778\) | −29.4856 | + | 9.58047i | −1.05711 | + | 0.343476i | ||||
\(779\) | −3.32976 | + | 0.349972i | −0.119301 | + | 0.0125390i | ||||
\(780\) | −0.187185 | + | 0.241646i | −0.00670230 | + | 0.00865233i | ||||
\(781\) | 23.3537 | + | 29.1968i | 0.835662 | + | 1.04474i | ||||
\(782\) | 6.44008 | + | 3.71818i | 0.230297 | + | 0.132962i | ||||
\(783\) | −44.7952 | + | 10.1060i | −1.60085 | + | 0.361159i | ||||
\(784\) | 4.49001 | − | 5.37027i | 0.160357 | − | 0.191795i | ||||
\(785\) | 3.94731 | + | 1.28256i | 0.140885 | + | 0.0457765i | ||||
\(786\) | −14.7836 | − | 14.1583i | −0.527314 | − | 0.505009i | ||||
\(787\) | 31.0394 | + | 3.26238i | 1.10644 | + | 0.116291i | 0.640082 | − | 0.768307i | \(-0.278900\pi\) |
0.466355 | + | 0.884598i | \(0.345567\pi\) | |||||||
\(788\) | 16.3062 | − | 3.46600i | 0.580886 | − | 0.123471i | ||||
\(789\) | 5.94274 | + | 32.9038i | 0.211567 | + | 1.17141i | ||||
\(790\) | −2.76703 | + | 2.01037i | −0.0984465 | + | 0.0715256i | ||||
\(791\) | 3.38346 | − | 2.03707i | 0.120302 | − | 0.0724299i | ||||
\(792\) | −7.95998 | − | 5.96981i | −0.282846 | − | 0.212128i | ||||
\(793\) | 1.41917 | − | 2.45808i | 0.0503963 | − | 0.0872889i | ||||
\(794\) | −1.02417 | − | 0.455988i | −0.0363463 | − | 0.0161824i | ||||
\(795\) | 3.67947 | + | 1.32195i | 0.130497 | + | 0.0468847i | ||||
\(796\) | −3.64387 | − | 4.04693i | −0.129154 | − | 0.143440i | ||||
\(797\) | −15.3391 | + | 21.1125i | −0.543339 | + | 0.747842i | −0.989090 | − | 0.147315i | \(-0.952937\pi\) |
0.445751 | + | 0.895157i | \(0.352937\pi\) | |||||||
\(798\) | 4.92259 | + | 1.11039i | 0.174258 | + | 0.0393074i | ||||
\(799\) | 13.8723 | + | 4.50738i | 0.490766 | + | 0.159460i | ||||
\(800\) | 4.81655 | + | 1.02379i | 0.170291 | + | 0.0361964i | ||||
\(801\) | −19.0533 | − | 51.0266i | −0.673214 | − | 1.80294i | ||||
\(802\) | 10.0276 | − | 5.78944i | 0.354087 | − | 0.204432i | ||||
\(803\) | 37.7524 | + | 2.20630i | 1.33225 | + | 0.0778587i | ||||
\(804\) | −6.96138 | − | 17.0262i | −0.245509 | − | 0.600470i | ||||
\(805\) | −0.108808 | − | 0.879725i | −0.00383497 | − | 0.0310062i | ||||
\(806\) | 3.04994 | − | 0.990986i | 0.107430 | − | 0.0349060i | ||||
\(807\) | 33.7536 | + | 16.2897i | 1.18818 | + | 0.573424i | ||||
\(808\) | 0.550141 | − | 5.23424i | 0.0193539 | − | 0.184140i | ||||
\(809\) | 4.81944 | − | 45.8539i | 0.169443 | − | 1.61214i | −0.497796 | − | 0.867294i | \(-0.665857\pi\) |
0.667239 | − | 0.744844i | \(-0.267476\pi\) | |||||||
\(810\) | −1.62447 | − | 1.87197i | −0.0570782 | − | 0.0657742i | ||||
\(811\) | 13.2059 | − | 4.29084i | 0.463720 | − | 0.150672i | −0.0678331 | − | 0.997697i | \(-0.521609\pi\) |
0.531553 | + | 0.847025i | \(0.321609\pi\) | |||||||
\(812\) | −2.87009 | − | 23.2050i | −0.100720 | − | 0.814337i | ||||
\(813\) | 36.8596 | − | 15.0705i | 1.29272 | − | 0.528546i | ||||
\(814\) | 12.9419 | + | 20.1937i | 0.453615 | + | 0.707790i | ||||
\(815\) | −5.06292 | + | 2.92308i | −0.177346 | + | 0.102391i | ||||
\(816\) | −0.325574 | + | 10.5822i | −0.0113974 | + | 0.370450i | ||||
\(817\) | −1.21187 | − | 0.257590i | −0.0423978 | − | 0.00901194i | ||||
\(818\) | 17.2490 | + | 5.60453i | 0.603096 | + | 0.195958i | ||||
\(819\) | −0.841785 | − | 5.01616i | −0.0294143 | − | 0.175279i | ||||
\(820\) | −0.492164 | + | 0.677405i | −0.0171871 | + | 0.0236560i | ||||
\(821\) | −6.39806 | − | 7.10577i | −0.223294 | − | 0.247993i | 0.621080 | − | 0.783747i | \(-0.286694\pi\) |
−0.844374 | + | 0.535754i | \(0.820027\pi\) | |||||||
\(822\) | −5.03905 | + | 14.0255i | −0.175757 | + | 0.489196i | ||||
\(823\) | −13.8919 | − | 6.18509i | −0.484243 | − | 0.215599i | 0.150070 | − | 0.988675i | \(-0.452050\pi\) |
−0.634313 | + | 0.773077i | \(0.718717\pi\) | |||||||
\(824\) | −6.62252 | + | 11.4705i | −0.230706 | + | 0.399595i | ||||
\(825\) | 6.31181 | + | 27.5740i | 0.219749 | + | 0.960002i | ||||
\(826\) | −20.0546 | + | 12.0742i | −0.697787 | + | 0.420115i | ||||
\(827\) | −14.2074 | + | 10.3223i | −0.494039 | + | 0.358940i | −0.806735 | − | 0.590913i | \(-0.798768\pi\) |
0.312697 | + | 0.949853i | \(0.398768\pi\) | |||||||
\(828\) | −1.95969 | − | 3.07900i | −0.0681040 | − | 0.107003i | ||||
\(829\) | 0.242717 | − | 0.0515910i | 0.00842990 | − | 0.00179183i | −0.203695 | − | 0.979034i | \(-0.565295\pi\) |
0.212125 | + | 0.977243i | \(0.431962\pi\) | |||||||
\(830\) | 1.15645 | + | 0.121548i | 0.0401409 | + | 0.00421898i | ||||
\(831\) | −36.8387 | + | 38.4658i | −1.27792 | + | 1.33436i | ||||
\(832\) | −0.609450 | − | 0.198022i | −0.0211289 | − | 0.00686519i | ||||
\(833\) | −14.7054 | − | 40.1812i | −0.509513 | − | 1.39220i | ||||
\(834\) | 8.54136 | − | 13.7961i | 0.295763 | − | 0.477720i | ||||
\(835\) | −0.953466 | − | 0.550484i | −0.0329961 | − | 0.0190503i | ||||
\(836\) | 3.52203 | + | 0.966468i | 0.121812 | + | 0.0334260i | ||||
\(837\) | 3.03988 | + | 25.8254i | 0.105074 | + | 0.892657i | ||||
\(838\) | −11.8213 | + | 1.24247i | −0.408362 | + | 0.0429205i | ||||
\(839\) | 15.1848 | − | 4.93383i | 0.524236 | − | 0.170335i | −0.0349307 | − | 0.999390i | \(-0.511121\pi\) |
0.559167 | + | 0.829055i | \(0.311121\pi\) | |||||||
\(840\) | 1.03012 | − | 0.729057i | 0.0355426 | − | 0.0251549i | ||||
\(841\) | −39.7240 | − | 28.8612i | −1.36979 | − | 0.995213i | ||||
\(842\) | −24.3234 | + | 10.8295i | −0.838238 | + | 0.373208i | ||||
\(843\) | −6.39423 | − | 9.39550i | −0.220229 | − | 0.323598i | ||||
\(844\) | −15.3715 | − | 13.8405i | −0.529108 | − | 0.476411i | ||||
\(845\) | 3.44803 | − | 0.362403i | 0.118616 | − | 0.0124670i | ||||
\(846\) | −5.01552 | − | 5.10819i | −0.172437 | − | 0.175623i | ||||
\(847\) | 27.7350 | + | 8.81860i | 0.952987 | + | 0.303011i | ||||
\(848\) | 8.19659i | 0.281472i | ||||||||
\(849\) | −16.7164 | − | 31.1267i | −0.573706 | − | 1.06826i | ||||
\(850\) | 20.1402 | − | 22.3679i | 0.690802 | − | 0.767213i | ||||
\(851\) | 1.82921 | + | 8.60575i | 0.0627045 | + | 0.295001i | ||||
\(852\) | −13.5049 | + | 14.1014i | −0.462670 | + | 0.483106i | ||||
\(853\) | −24.3236 | + | 33.4786i | −0.832825 | + | 1.14628i | 0.154566 | + | 0.987982i | \(0.450602\pi\) |
−0.987391 | + | 0.158303i | \(0.949398\pi\) | |||||||
\(854\) | −8.56349 | + | 7.99978i | −0.293037 | + | 0.273747i | ||||
\(855\) | 0.806805 | + | 0.420434i | 0.0275921 | + | 0.0143785i | ||||
\(856\) | −0.711518 | − | 6.76964i | −0.0243192 | − | 0.231381i | ||||
\(857\) | 27.7853 | + | 48.1256i | 0.949128 | + | 1.64394i | 0.747267 | + | 0.664524i | \(0.231366\pi\) |
0.201861 | + | 0.979414i | \(0.435301\pi\) | |||||||
\(858\) | −0.441810 | − | 3.65458i | −0.0150831 | − | 0.124765i | ||||
\(859\) | 24.3875 | − | 42.2404i | 0.832092 | − | 1.44123i | −0.0642847 | − | 0.997932i | \(-0.520477\pi\) |
0.896376 | − | 0.443294i | \(-0.146190\pi\) | |||||||
\(860\) | −0.250669 | + | 0.182122i | −0.00854774 | + | 0.00621030i | ||||
\(861\) | −2.72740 | − | 13.6635i | −0.0929494 | − | 0.465651i | ||||
\(862\) | 1.42040 | − | 4.37155i | 0.0483792 | − | 0.148896i | ||||
\(863\) | 17.0292 | + | 38.2483i | 0.579682 | + | 1.30199i | 0.930756 | + | 0.365640i | \(0.119150\pi\) |
−0.351074 | + | 0.936348i | \(0.614183\pi\) | |||||||
\(864\) | 2.54185 | − | 4.53200i | 0.0864755 | − | 0.154182i | ||||
\(865\) | −0.0433021 | − | 0.203721i | −0.00147232 | − | 0.00692671i | ||||
\(866\) | −17.8132 | − | 3.78632i | −0.605318 | − | 0.128664i | ||||
\(867\) | 29.9875 | + | 18.5657i | 1.01843 | + | 0.630524i | ||||
\(868\) | −13.2382 | + | 0.242803i | −0.449334 | + | 0.00824127i | ||||
\(869\) | 6.68824 | − | 40.6441i | 0.226883 | − | 1.37876i | ||||
\(870\) | 0.569349 | − | 4.17683i | 0.0193027 | − | 0.141608i | ||||
\(871\) | 2.76803 | − | 6.21709i | 0.0937910 | − | 0.210658i | ||||
\(872\) | −3.52401 | − | 3.17303i | −0.119338 | − | 0.107452i | ||||
\(873\) | −30.1331 | − | 1.85592i | −1.01985 | − | 0.0628134i | ||||
\(874\) | 1.08383 | + | 0.787446i | 0.0366610 | + | 0.0266358i | ||||
\(875\) | −7.20401 | − | 0.623840i | −0.243540 | − | 0.0210896i | ||||
\(876\) | 1.45938 | + | 19.6952i | 0.0493080 | + | 0.665439i | ||||
\(877\) | 9.78033 | − | 46.0128i | 0.330258 | − | 1.55374i | −0.429213 | − | 0.903203i | \(-0.641209\pi\) |
0.759472 | − | 0.650540i | \(-0.225458\pi\) | |||||||
\(878\) | −9.10746 | + | 20.4557i | −0.307362 | + | 0.690346i | ||||
\(879\) | −9.45530 | + | 12.2063i | −0.318919 | + | 0.411709i | ||||
\(880\) | 0.769001 | − | 0.492844i | 0.0259230 | − | 0.0166138i | ||||
\(881\) | 40.9648i | 1.38014i | 0.723744 | + | 0.690069i | \(0.242420\pi\) | ||||
−0.723744 | + | 0.690069i | \(0.757580\pi\) | |||||||
\(882\) | −2.71305 | + | 20.8240i | −0.0913530 | + | 0.701181i | ||||
\(883\) | 8.15181 | + | 25.0887i | 0.274330 | + | 0.844302i | 0.989396 | + | 0.145245i | \(0.0463969\pi\) |
−0.715065 | + | 0.699058i | \(0.753603\pi\) | |||||||
\(884\) | −2.91089 | + | 2.62097i | −0.0979037 | + | 0.0881529i | ||||
\(885\) | −4.05196 | + | 1.18010i | −0.136205 | + | 0.0396687i | ||||
\(886\) | −15.4858 | − | 1.62762i | −0.520256 | − | 0.0546811i | ||||
\(887\) | 7.98764 | + | 8.87117i | 0.268199 | + | 0.297865i | 0.862168 | − | 0.506623i | \(-0.169106\pi\) |
−0.593969 | + | 0.804488i | \(0.702440\pi\) | |||||||
\(888\) | −9.56179 | + | 8.09115i | −0.320873 | + | 0.271521i | ||||
\(889\) | −0.0895097 | + | 0.211392i | −0.00300206 | + | 0.00708986i | ||||
\(890\) | 5.00003 | 0.167601 | ||||||||
\(891\) | 29.7619 | + | 2.28667i | 0.997061 | + | 0.0766062i | ||||
\(892\) | −2.82034 | − | 4.88497i | −0.0944318 | − | 0.163561i | ||||
\(893\) | 2.40056 | + | 1.06880i | 0.0803318 | + | 0.0357660i | ||||
\(894\) | −4.38707 | − | 24.2904i | −0.146726 | − | 0.812393i | ||||
\(895\) | −0.154623 | + | 0.475880i | −0.00516847 | + | 0.0159069i | ||||
\(896\) | 2.16862 | + | 1.51562i | 0.0724484 | + | 0.0506333i | ||||
\(897\) | 0.321229 | − | 1.31154i | 0.0107255 | − | 0.0437912i | ||||
\(898\) | 13.8589 | − | 12.4786i | 0.462476 | − | 0.416416i | ||||
\(899\) | −29.5934 | + | 32.8667i | −0.986994 | + | 1.09617i | ||||
\(900\) | −13.8392 | + | 5.16753i | −0.461306 | + | 0.172251i | ||||
\(901\) | 43.3894 | + | 25.0509i | 1.44551 | + | 0.834566i | ||||
\(902\) | −1.51755 | − | 9.96917i | −0.0505289 | − | 0.331937i | ||||
\(903\) | 0.602560 | − | 5.12050i | 0.0200519 | − | 0.170400i | ||||
\(904\) | 0.877398 | + | 1.20764i | 0.0291818 | + | 0.0401653i | ||||
\(905\) | −1.18749 | + | 5.58671i | −0.0394735 | + | 0.185708i | ||||
\(906\) | −14.9885 | + | 10.2006i | −0.497960 | + | 0.338894i | ||||
\(907\) | −0.751126 | + | 7.14648i | −0.0249407 | + | 0.237295i | 0.974949 | + | 0.222429i | \(0.0713987\pi\) |
−0.999890 | + | 0.0148656i | \(0.995268\pi\) | |||||||
\(908\) | −21.9456 | + | 9.77081i | −0.728291 | + | 0.324256i | ||||
\(909\) | 7.03908 | + | 14.1333i | 0.233472 | + | 0.468772i | ||||
\(910\) | 0.458412 | + | 0.0886849i | 0.0151962 | + | 0.00293988i | ||||
\(911\) | 27.3013 | + | 37.5770i | 0.904531 | + | 1.24498i | 0.969000 | + | 0.247061i | \(0.0794647\pi\) |
−0.0644688 | + | 0.997920i | \(0.520535\pi\) | |||||||
\(912\) | −0.257606 | + | 1.88984i | −0.00853018 | + | 0.0625787i | ||||
\(913\) | −10.9360 | + | 8.74743i | −0.361930 | + | 0.289498i | ||||
\(914\) | 16.6037 | − | 9.58613i | 0.549200 | − | 0.317081i | ||||
\(915\) | −1.86131 | + | 0.999609i | −0.0615331 | + | 0.0330460i | ||||
\(916\) | −8.01141 | − | 24.6566i | −0.264704 | − | 0.814676i | ||||
\(917\) | −9.11542 | + | 29.9099i | −0.301018 | + | 0.987713i | ||||
\(918\) | −16.2220 | − | 27.3065i | −0.535406 | − | 0.901248i | ||||
\(919\) | 7.05541 | + | 15.8467i | 0.232737 | + | 0.522735i | 0.991727 | − | 0.128367i | \(-0.0409736\pi\) |
−0.758990 | + | 0.651102i | \(0.774307\pi\) | |||||||
\(920\) | 0.327717 | − | 0.0696584i | 0.0108045 | − | 0.00229657i | ||||
\(921\) | −10.6188 | + | 29.5560i | −0.349902 | + | 0.973904i | ||||
\(922\) | −2.49625 | − | 23.7502i | −0.0822097 | − | 0.782173i | ||||
\(923\) | −7.22380 | −0.237774 | ||||||||
\(924\) | −2.65388 | + | 14.9652i | −0.0873063 | + | 0.492319i | ||||
\(925\) | 35.6103 | 1.17086 | ||||||||
\(926\) | −0.969268 | − | 9.22197i | −0.0318521 | − | 0.303053i | ||||
\(927\) | −1.71629 | − | 39.6980i | −0.0563703 | − | 1.30385i | ||||
\(928\) | 8.64439 | − | 1.83742i | 0.283766 | − | 0.0603163i | ||||
\(929\) | −22.8077 | − | 51.2269i | −0.748296 | − | 1.68070i | −0.732446 | − | 0.680826i | \(-0.761621\pi\) |
−0.0158503 | − | 0.999874i | \(-0.505046\pi\) | |||||||
\(930\) | −2.31855 | − | 0.567871i | −0.0760284 | − | 0.0186212i | ||||
\(931\) | −1.87806 | − | 7.47603i | −0.0615508 | − | 0.245017i | ||||
\(932\) | −5.20838 | − | 16.0298i | −0.170606 | − | 0.525072i | ||||
\(933\) | −16.3465 | − | 30.4379i | −0.535161 | − | 0.996493i | ||||
\(934\) | −25.0662 | + | 14.4720i | −0.820190 | + | 0.473537i | ||||
\(935\) | −0.258652 | − | 5.57704i | −0.00845882 | − | 0.182389i | ||||
\(936\) | 1.86141 | − | 0.480547i | 0.0608421 | − | 0.0157072i | ||||
\(937\) | −16.3941 | − | 22.5645i | −0.535572 | − | 0.737151i | 0.452395 | − | 0.891818i | \(-0.350570\pi\) |
−0.987967 | + | 0.154666i | \(0.950570\pi\) | |||||||
\(938\) | −18.4151 | + | 21.2221i | −0.601274 | + | 0.692926i | ||||
\(939\) | 42.4664 | − | 3.14669i | 1.38584 | − | 0.102688i | ||||
\(940\) | 0.600351 | − | 0.267294i | 0.0195813 | − | 0.00871816i | ||||
\(941\) | −2.62505 | + | 24.9757i | −0.0855743 | + | 0.814186i | 0.864599 | + | 0.502463i | \(0.167573\pi\) |
−0.950173 | + | 0.311723i | \(0.899094\pi\) | |||||||
\(942\) | −14.6867 | − | 21.5802i | −0.478518 | − | 0.703119i | ||||
\(943\) | 0.769054 | − | 3.61812i | 0.0250439 | − | 0.117822i | ||||
\(944\) | −5.20054 | − | 7.15793i | −0.169263 | − | 0.232971i | ||||
\(945\) | −1.43272 | + | 3.50448i | −0.0466062 | + | 0.114001i | ||||
\(946\) | 0.605896 | − | 3.68200i | 0.0196994 | − | 0.119712i | ||||
\(947\) | −31.8795 | − | 18.4056i | −1.03594 | − | 0.598102i | −0.117262 | − | 0.993101i | \(-0.537412\pi\) |
−0.918682 | + | 0.394999i | \(0.870745\pi\) | |||||||
\(948\) | 21.5010 | + | 0.661504i | 0.698319 | + | 0.0214846i | ||||
\(949\) | −4.88913 | + | 5.42993i | −0.158708 | + | 0.176263i | ||||
\(950\) | 4.02964 | − | 3.62831i | 0.130739 | − | 0.117718i | ||||
\(951\) | 26.6261 | + | 6.52138i | 0.863410 | + | 0.211470i | ||||
\(952\) | 14.6509 | − | 6.84765i | 0.474839 | − | 0.221933i | ||||
\(953\) | 4.53556 | − | 13.9590i | 0.146921 | − | 0.452177i | −0.850332 | − | 0.526247i | \(-0.823599\pi\) |
0.997253 | + | 0.0740700i | \(0.0235988\pi\) | |||||||
\(954\) | −13.2032 | − | 20.7444i | −0.427470 | − | 0.671626i | ||||
\(955\) | 2.88962 | + | 1.28654i | 0.0935060 | + | 0.0416316i | ||||
\(956\) | 6.84245 | + | 11.8515i | 0.221301 | + | 0.383304i | ||||
\(957\) | 30.4771 | + | 40.6017i | 0.985183 | + | 1.31247i | ||||
\(958\) | −31.8979 | −1.03058 | ||||||||
\(959\) | 22.5929 | − | 2.79438i | 0.729564 | − | 0.0902352i | ||||
\(960\) | 0.308121 | + | 0.364124i | 0.00994455 | + | 0.0117521i | ||||
\(961\) | −3.98522 | − | 4.42604i | −0.128556 | − | 0.142775i | ||||
\(962\) | −4.60882 | − | 0.484406i | −0.148594 | − | 0.0156179i | ||||
\(963\) | 12.7054 | + | 15.9869i | 0.409426 | + | 0.515170i | ||||
\(964\) | −2.36014 | + | 2.12508i | −0.0760150 | + | 0.0684442i | ||||
\(965\) | 0.370777 | + | 1.14113i | 0.0119357 | + | 0.0367344i | ||||
\(966\) | −2.84727 | + | 4.79317i | −0.0916095 | + | 0.154218i | ||||
\(967\) | − | 14.2865i | − | 0.459422i | −0.973259 | − | 0.229711i | \(-0.926222\pi\) | ||
0.973259 | − | 0.229711i | \(-0.0737781\pi\) | |||||||
\(968\) | −2.41630 | + | 10.7313i | −0.0776628 | + | 0.344918i | ||||
\(969\) | 9.21671 | + | 7.13949i | 0.296083 | + | 0.229353i | ||||
\(970\) | 1.12723 | − | 2.53179i | 0.0361931 | − | 0.0812910i | ||||
\(971\) | 3.18344 | − | 14.9769i | 0.102161 | − | 0.480632i | −0.897086 | − | 0.441855i | \(-0.854321\pi\) |
0.999248 | − | 0.0387768i | \(-0.0123461\pi\) | |||||||
\(972\) | 0.867156 | + | 15.5643i | 0.0278140 | + | 0.499226i | ||||
\(973\) | −24.6934 | − | 2.13836i | −0.791635 | − | 0.0685526i | ||||
\(974\) | 15.4783 | + | 11.2457i | 0.495958 | + | 0.360334i | ||||
\(975\) | −4.92220 | − | 2.37548i | −0.157636 | − | 0.0760762i | ||||
\(976\) | −3.29160 | − | 2.96377i | −0.105362 | − | 0.0948679i | ||||
\(977\) | −7.51775 | + | 16.8851i | −0.240514 | + | 0.540203i | −0.992960 | − | 0.118451i | \(-0.962207\pi\) |
0.752446 | + | 0.658654i | \(0.228874\pi\) | |||||||
\(978\) | 36.4317 | + | 4.96605i | 1.16496 | + | 0.158797i | ||||
\(979\) | −42.8348 | + | 42.3226i | −1.36901 | + | 1.35264i | ||||
\(980\) | −1.70371 | − | 0.902009i | −0.0544229 | − | 0.0288136i | ||||
\(981\) | 14.0300 | + | 2.35396i | 0.447942 | + | 0.0751563i | ||||
\(982\) | −25.3793 | − | 5.39454i | −0.809887 | − | 0.172147i | ||||
\(983\) | −7.90921 | − | 37.2099i | −0.252265 | − | 1.18681i | −0.903720 | − | 0.428125i | \(-0.859174\pi\) |
0.651455 | − | 0.758687i | \(-0.274159\pi\) | |||||||
\(984\) | 5.05613 | − | 1.47256i | 0.161184 | − | 0.0469435i | ||||
\(985\) | −1.86731 | − | 4.19405i | −0.0594974 | − | 0.133633i | ||||
\(986\) | 16.6929 | − | 51.3755i | 0.531611 | − | 1.63613i | ||||
\(987\) | −3.50808 | + | 10.3573i | −0.111663 | + | 0.329678i | ||||
\(988\) | −0.570887 | + | 0.414774i | −0.0181623 | + | 0.0131957i | ||||
\(989\) | 0.684384 | − | 1.18539i | 0.0217622 | − | 0.0376932i | ||||
\(990\) | −1.15235 | + | 2.48604i | −0.0366241 | + | 0.0790116i | ||||
\(991\) | 11.0674 | + | 19.1694i | 0.351569 | + | 0.608936i | 0.986525 | − | 0.163613i | \(-0.0523149\pi\) |
−0.634955 | + | 0.772549i | \(0.718982\pi\) | |||||||
\(992\) | −0.523104 | − | 4.97700i | −0.0166086 | − | 0.158020i | ||||
\(993\) | −6.61940 | + | 5.60132i | −0.210060 | + | 0.177752i | ||||
\(994\) | 28.5297 | + | 8.69477i | 0.904906 | + | 0.275781i | ||||
\(995\) | −0.881505 | + | 1.21329i | −0.0279456 | + | 0.0384638i | ||||
\(996\) | −5.28185 | − | 5.05843i | −0.167362 | − | 0.160282i | ||||
\(997\) | −7.47016 | − | 35.1443i | −0.236582 | − | 1.11303i | −0.922693 | − | 0.385535i | \(-0.874017\pi\) |
0.686111 | − | 0.727497i | \(-0.259316\pi\) | |||||||
\(998\) | −14.2687 | + | 15.8470i | −0.451668 | + | 0.501628i | ||||
\(999\) | 11.1662 | − | 35.8799i | 0.353282 | − | 1.13519i |
(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 | 462.2.bc.a.107.2 | yes | 128 | |
3.2 | odd | 2 | 462.2.bc.b.107.11 | yes | 128 | ||
7.4 | even | 3 | inner | 462.2.bc.a.305.8 | yes | 128 | |
11.7 | odd | 10 | 462.2.bc.b.359.12 | yes | 128 | ||
21.11 | odd | 6 | 462.2.bc.b.305.12 | yes | 128 | ||
33.29 | even | 10 | inner | 462.2.bc.a.359.8 | yes | 128 | |
77.18 | odd | 30 | 462.2.bc.b.95.11 | yes | 128 | ||
231.95 | even | 30 | inner | 462.2.bc.a.95.2 | ✓ | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.bc.a.95.2 | ✓ | 128 | 231.95 | even | 30 | inner | |
462.2.bc.a.107.2 | yes | 128 | 1.1 | even | 1 | trivial | |
462.2.bc.a.305.8 | yes | 128 | 7.4 | even | 3 | inner | |
462.2.bc.a.359.8 | yes | 128 | 33.29 | even | 10 | inner | |
462.2.bc.b.95.11 | yes | 128 | 77.18 | odd | 30 | ||
462.2.bc.b.107.11 | yes | 128 | 3.2 | odd | 2 | ||
462.2.bc.b.305.12 | yes | 128 | 21.11 | odd | 6 | ||
462.2.bc.b.359.12 | yes | 128 | 11.7 | odd | 10 |