Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [828,2,Mod(47,828)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(828, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("828.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 828 = 2^{2} \cdot 3^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 828.o (of order \(6\), degree \(2\), 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: | \(6.61161328736\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(66\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 47.2 | ||
Character | \(\chi\) | \(=\) | 828.47 |
Dual form | 828.2.o.a.599.2 |
$q$-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 \(\left(\mathbb{Z}/828\mathbb{Z}\right)^\times\).
\(n\) | \(415\) | \(461\) | \(649\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40722 | + | 0.140428i | −0.995058 | + | 0.0992977i | ||||
\(3\) | −1.25401 | + | 1.19476i | −0.724002 | + | 0.689798i | ||||
\(4\) | 1.96056 | − | 0.395228i | 0.980280 | − | 0.197614i | ||||
\(5\) | −0.532014 | + | 0.307158i | −0.237924 | + | 0.137365i | −0.614222 | − | 0.789133i | \(-0.710530\pi\) |
0.376298 | + | 0.926499i | \(0.377197\pi\) | |||||||
\(6\) | 1.59689 | − | 1.85740i | 0.651929 | − | 0.758280i | ||||
\(7\) | 1.07017 | + | 0.617862i | 0.404486 | + | 0.233530i | 0.688418 | − | 0.725314i | \(-0.258306\pi\) |
−0.283932 | + | 0.958844i | \(0.591639\pi\) | |||||||
\(8\) | −2.70345 | + | 0.831492i | −0.955813 | + | 0.293977i | ||||
\(9\) | 0.145075 | − | 2.99649i | 0.0483584 | − | 0.998830i | ||||
\(10\) | 0.705529 | − | 0.506950i | 0.223108 | − | 0.160312i | ||||
\(11\) | −0.579181 | + | 1.00317i | −0.174630 | + | 0.302467i | −0.940033 | − | 0.341083i | \(-0.889206\pi\) |
0.765403 | + | 0.643551i | \(0.222539\pi\) | |||||||
\(12\) | −1.98635 | + | 2.83803i | −0.573411 | + | 0.819268i | ||||
\(13\) | 1.27170 | + | 2.20264i | 0.352705 | + | 0.610904i | 0.986722 | − | 0.162415i | \(-0.0519285\pi\) |
−0.634017 | + | 0.773319i | \(0.718595\pi\) | |||||||
\(14\) | −1.59273 | − | 0.719189i | −0.425676 | − | 0.192211i | ||||
\(15\) | 0.300168 | − | 1.02081i | 0.0775030 | − | 0.263572i | ||||
\(16\) | 3.68759 | − | 1.54974i | 0.921897 | − | 0.387434i | ||||
\(17\) | − | 5.65288i | − | 1.37103i | −0.728060 | − | 0.685513i | \(-0.759578\pi\) | ||
0.728060 | − | 0.685513i | \(-0.240422\pi\) | |||||||
\(18\) | 0.216638 | + | 4.23711i | 0.0510621 | + | 0.998695i | ||||
\(19\) | 7.70722i | 1.76816i | 0.467337 | + | 0.884079i | \(0.345213\pi\) | ||||
−0.467337 | + | 0.884079i | \(0.654787\pi\) | |||||||
\(20\) | −0.921647 | + | 0.812469i | −0.206087 | + | 0.181673i | ||||
\(21\) | −2.08020 | + | 0.503795i | −0.453937 | + | 0.109937i | ||||
\(22\) | 0.674164 | − | 1.49302i | 0.143732 | − | 0.318313i | ||||
\(23\) | 0.500000 | + | 0.866025i | 0.104257 | + | 0.180579i | ||||
\(24\) | 2.39671 | − | 4.27268i | 0.489226 | − | 0.872157i | ||||
\(25\) | −2.31131 | + | 4.00330i | −0.462262 | + | 0.800660i | ||||
\(26\) | −2.09888 | − | 2.92103i | −0.411623 | − | 0.572861i | ||||
\(27\) | 3.39817 | + | 3.93096i | 0.653979 | + | 0.756513i | ||||
\(28\) | 2.34233 | + | 0.788395i | 0.442658 | + | 0.148993i | ||||
\(29\) | 0.589231 | + | 0.340193i | 0.109417 | + | 0.0631722i | 0.553710 | − | 0.832710i | \(-0.313212\pi\) |
−0.444293 | + | 0.895882i | \(0.646545\pi\) | |||||||
\(30\) | −0.279053 | + | 1.47866i | −0.0509479 | + | 0.269965i | ||||
\(31\) | 7.05643 | − | 4.07403i | 1.26737 | − | 0.731718i | 0.292882 | − | 0.956148i | \(-0.405386\pi\) |
0.974490 | + | 0.224431i | \(0.0720522\pi\) | |||||||
\(32\) | −4.97164 | + | 2.69867i | −0.878870 | + | 0.477061i | ||||
\(33\) | −0.472255 | − | 1.94997i | −0.0822091 | − | 0.339446i | ||||
\(34\) | 0.793824 | + | 7.95488i | 0.136140 | + | 1.36425i | ||||
\(35\) | −0.759126 | −0.128316 | ||||||||
\(36\) | −0.899867 | − | 5.93214i | −0.149978 | − | 0.988689i | ||||
\(37\) | −4.80087 | −0.789259 | −0.394629 | − | 0.918840i | \(-0.629127\pi\) | ||||
−0.394629 | + | 0.918840i | \(0.629127\pi\) | |||||||
\(38\) | −1.08231 | − | 10.8458i | −0.175574 | − | 1.75942i | ||||
\(39\) | −4.22636 | − | 1.24276i | −0.676759 | − | 0.199000i | ||||
\(40\) | 1.18287 | − | 1.27275i | 0.187028 | − | 0.201240i | ||||
\(41\) | 0.393650 | − | 0.227274i | 0.0614778 | − | 0.0354942i | −0.468946 | − | 0.883227i | \(-0.655366\pi\) |
0.530424 | + | 0.847733i | \(0.322033\pi\) | |||||||
\(42\) | 2.85656 | − | 1.00107i | 0.440777 | − | 0.154469i | ||||
\(43\) | 2.55744 | + | 1.47654i | 0.390006 | + | 0.225170i | 0.682163 | − | 0.731201i | \(-0.261040\pi\) |
−0.292157 | + | 0.956370i | \(0.594373\pi\) | |||||||
\(44\) | −0.739038 | + | 2.19569i | −0.111414 | + | 0.331012i | ||||
\(45\) | 0.843214 | + | 1.63873i | 0.125699 | + | 0.244288i | ||||
\(46\) | −0.825226 | − | 1.14848i | −0.121673 | − | 0.169334i | ||||
\(47\) | −6.50502 | + | 11.2670i | −0.948855 | + | 1.64347i | −0.201013 | + | 0.979589i | \(0.564423\pi\) |
−0.747842 | + | 0.663876i | \(0.768910\pi\) | |||||||
\(48\) | −2.77270 | + | 6.34918i | −0.400205 | + | 0.916426i | ||||
\(49\) | −2.73649 | − | 4.73974i | −0.390927 | − | 0.677106i | ||||
\(50\) | 2.69035 | − | 5.95812i | 0.380473 | − | 0.842605i | ||||
\(51\) | 6.75387 | + | 7.08877i | 0.945730 | + | 0.992626i | ||||
\(52\) | 3.36378 | + | 3.81581i | 0.466473 | + | 0.529157i | ||||
\(53\) | 7.13745i | 0.980404i | 0.871609 | + | 0.490202i | \(0.163077\pi\) | ||||
−0.871609 | + | 0.490202i | \(0.836923\pi\) | |||||||
\(54\) | −5.33401 | − | 5.05454i | −0.725867 | − | 0.687835i | ||||
\(55\) | − | 0.711601i | − | 0.0959522i | ||||||
\(56\) | −3.40689 | − | 0.780520i | −0.455265 | − | 0.104301i | ||||
\(57\) | −9.20832 | − | 9.66493i | −1.21967 | − | 1.28015i | ||||
\(58\) | −0.876953 | − | 0.395983i | −0.115150 | − | 0.0519951i | ||||
\(59\) | −0.610765 | − | 1.05788i | −0.0795148 | − | 0.137724i | 0.823526 | − | 0.567279i | \(-0.192004\pi\) |
−0.903041 | + | 0.429555i | \(0.858670\pi\) | |||||||
\(60\) | 0.185045 | − | 2.11999i | 0.0238892 | − | 0.273690i | ||||
\(61\) | 2.61631 | − | 4.53158i | 0.334984 | − | 0.580210i | −0.648498 | − | 0.761217i | \(-0.724602\pi\) |
0.983482 | + | 0.181007i | \(0.0579357\pi\) | |||||||
\(62\) | −9.35787 | + | 6.72400i | −1.18845 | + | 0.853949i | ||||
\(63\) | 2.00667 | − | 3.11711i | 0.252817 | − | 0.392719i | ||||
\(64\) | 6.61724 | − | 4.49579i | 0.827155 | − | 0.561973i | ||||
\(65\) | −1.35312 | − | 0.781224i | −0.167834 | − | 0.0968989i | ||||
\(66\) | 0.938399 | + | 2.67773i | 0.115509 | + | 0.329605i | ||||
\(67\) | −9.95606 | + | 5.74813i | −1.21633 | + | 0.702246i | −0.964130 | − | 0.265430i | \(-0.914486\pi\) |
−0.252196 | + | 0.967676i | \(0.581153\pi\) | |||||||
\(68\) | −2.23418 | − | 11.0828i | −0.270934 | − | 1.34399i | ||||
\(69\) | −1.66170 | − | 0.488621i | −0.200045 | − | 0.0588231i | ||||
\(70\) | 1.06826 | − | 0.106603i | 0.127682 | − | 0.0127415i | ||||
\(71\) | −12.2931 | −1.45892 | −0.729460 | − | 0.684024i | \(-0.760228\pi\) | ||||
−0.729460 | + | 0.684024i | \(0.760228\pi\) | |||||||
\(72\) | 2.09935 | + | 8.22148i | 0.247411 | + | 0.968911i | ||||
\(73\) | −13.6599 | −1.59878 | −0.799388 | − | 0.600815i | \(-0.794843\pi\) | ||||
−0.799388 | + | 0.600815i | \(0.794843\pi\) | |||||||
\(74\) | 6.75591 | − | 0.674178i | 0.785358 | − | 0.0783716i | ||||
\(75\) | −1.88460 | − | 7.78164i | −0.217615 | − | 0.898547i | ||||
\(76\) | 3.04611 | + | 15.1105i | 0.349413 | + | 1.73329i | ||||
\(77\) | −1.23964 | + | 0.715708i | −0.141270 | + | 0.0815625i | ||||
\(78\) | 6.12195 | + | 1.15534i | 0.693175 | + | 0.130816i | ||||
\(79\) | −2.90485 | − | 1.67712i | −0.326821 | − | 0.188690i | 0.327608 | − | 0.944814i | \(-0.393758\pi\) |
−0.654429 | + | 0.756123i | \(0.727091\pi\) | |||||||
\(80\) | −1.48583 | + | 1.95715i | −0.166121 | + | 0.218816i | ||||
\(81\) | −8.95791 | − | 0.869434i | −0.995323 | − | 0.0966037i | ||||
\(82\) | −0.522038 | + | 0.375105i | −0.0576494 | + | 0.0414234i | ||||
\(83\) | −2.96563 | + | 5.13662i | −0.325520 | + | 0.563817i | −0.981617 | − | 0.190859i | \(-0.938873\pi\) |
0.656098 | + | 0.754676i | \(0.272206\pi\) | |||||||
\(84\) | −3.87924 | + | 1.80987i | −0.423260 | + | 0.197473i | ||||
\(85\) | 1.73633 | + | 3.00741i | 0.188331 | + | 0.326200i | ||||
\(86\) | −3.80624 | − | 1.71868i | −0.410437 | − | 0.185330i | ||||
\(87\) | −1.14535 | + | 0.277388i | −0.122794 | + | 0.0297391i | ||||
\(88\) | 0.731656 | − | 3.19360i | 0.0779948 | − | 0.340439i | ||||
\(89\) | 17.7020i | 1.87640i | 0.346088 | + | 0.938202i | \(0.387510\pi\) | ||||
−0.346088 | + | 0.938202i | \(0.612490\pi\) | |||||||
\(90\) | −1.41672 | − | 2.18766i | −0.149335 | − | 0.230599i | ||||
\(91\) | 3.14293i | 0.329469i | ||||||||
\(92\) | 1.32256 | + | 1.50028i | 0.137886 | + | 0.156415i | ||||
\(93\) | −3.98132 | + | 13.5396i | −0.412843 | + | 1.40400i | ||||
\(94\) | 7.57182 | − | 16.7687i | 0.780973 | − | 1.72956i | ||||
\(95\) | −2.36734 | − | 4.10035i | −0.242884 | − | 0.420687i | ||||
\(96\) | 3.01021 | − | 9.32409i | 0.307228 | − | 0.951636i | ||||
\(97\) | −2.82127 | + | 4.88659i | −0.286457 | + | 0.496158i | −0.972961 | − | 0.230968i | \(-0.925811\pi\) |
0.686505 | + | 0.727125i | \(0.259144\pi\) | |||||||
\(98\) | 4.51645 | + | 6.28560i | 0.456231 | + | 0.634942i | ||||
\(99\) | 2.92197 | + | 1.88105i | 0.293669 | + | 0.189052i | ||||
\(100\) | −2.94924 | + | 8.76221i | −0.294924 | + | 0.876221i | ||||
\(101\) | −6.01926 | − | 3.47522i | −0.598939 | − | 0.345797i | 0.169685 | − | 0.985498i | \(-0.445725\pi\) |
−0.768624 | + | 0.639701i | \(0.779058\pi\) | |||||||
\(102\) | −10.4997 | − | 9.02705i | −1.03962 | − | 0.893811i | ||||
\(103\) | 5.88864 | − | 3.39981i | 0.580225 | − | 0.334993i | −0.180998 | − | 0.983483i | \(-0.557933\pi\) |
0.761223 | + | 0.648490i | \(0.224599\pi\) | |||||||
\(104\) | −5.26945 | − | 4.89732i | −0.516712 | − | 0.480222i | ||||
\(105\) | 0.951950 | − | 0.906977i | 0.0929008 | − | 0.0885118i | ||||
\(106\) | −1.00230 | − | 10.0440i | −0.0973519 | − | 0.975559i | ||||
\(107\) | −13.1754 | −1.27371 | −0.636855 | − | 0.770983i | \(-0.719765\pi\) | ||||
−0.636855 | + | 0.770983i | \(0.719765\pi\) | |||||||
\(108\) | 8.21595 | + | 6.36382i | 0.790580 | + | 0.612359i | ||||
\(109\) | −0.860360 | −0.0824075 | −0.0412038 | − | 0.999151i | \(-0.513119\pi\) | ||||
−0.0412038 | + | 0.999151i | \(0.513119\pi\) | |||||||
\(110\) | 0.0999288 | + | 1.00138i | 0.00952784 | + | 0.0954780i | ||||
\(111\) | 6.02034 | − | 5.73592i | 0.571425 | − | 0.544429i | ||||
\(112\) | 4.90387 | + | 0.619944i | 0.463372 | + | 0.0585792i | ||||
\(113\) | 15.5052 | − | 8.95191i | 1.45860 | − | 0.842124i | 0.459660 | − | 0.888095i | \(-0.347971\pi\) |
0.998943 | + | 0.0459707i | \(0.0146381\pi\) | |||||||
\(114\) | 14.3154 | + | 12.3076i | 1.34076 | + | 1.15271i | ||||
\(115\) | −0.532014 | − | 0.307158i | −0.0496105 | − | 0.0286426i | ||||
\(116\) | 1.28968 | + | 0.434088i | 0.119743 | + | 0.0403040i | ||||
\(117\) | 6.78469 | − | 3.49108i | 0.627245 | − | 0.322750i | ||||
\(118\) | 1.00804 | + | 1.40290i | 0.0927975 | + | 0.129147i | ||||
\(119\) | 3.49270 | − | 6.04954i | 0.320176 | − | 0.554560i | ||||
\(120\) | 0.0373076 | + | 3.00929i | 0.00340570 | + | 0.274710i | ||||
\(121\) | 4.82910 | + | 8.36424i | 0.439009 | + | 0.760386i | ||||
\(122\) | −3.04537 | + | 6.74436i | −0.275715 | + | 0.610605i | ||||
\(123\) | −0.222102 | + | 0.755322i | −0.0200262 | + | 0.0681051i | ||||
\(124\) | 12.2244 | − | 10.7763i | 1.09778 | − | 0.967739i | ||||
\(125\) | − | 5.91133i | − | 0.528725i | ||||||
\(126\) | −2.38611 | + | 4.66827i | −0.212571 | + | 0.415883i | ||||
\(127\) | 18.5519i | 1.64621i | 0.567888 | + | 0.823106i | \(0.307761\pi\) | ||||
−0.567888 | + | 0.823106i | \(0.692239\pi\) | |||||||
\(128\) | −8.68061 | + | 7.25583i | −0.767265 | + | 0.641331i | ||||
\(129\) | −4.97116 | + | 1.20395i | −0.437687 | + | 0.106001i | ||||
\(130\) | 2.01385 | + | 0.909341i | 0.176626 | + | 0.0797545i | ||||
\(131\) | 1.12919 | + | 1.95581i | 0.0986576 | + | 0.170880i | 0.911129 | − | 0.412121i | \(-0.135212\pi\) |
−0.812472 | + | 0.583001i | \(0.801878\pi\) | |||||||
\(132\) | −1.69657 | − | 3.63638i | −0.147667 | − | 0.316507i | ||||
\(133\) | −4.76200 | + | 8.24803i | −0.412918 | + | 0.715195i | ||||
\(134\) | 13.2032 | − | 9.48702i | 1.14058 | − | 0.819554i | ||||
\(135\) | −3.01530 | − | 1.04754i | −0.259516 | − | 0.0901583i | ||||
\(136\) | 4.70033 | + | 15.2823i | 0.403050 | + | 1.31044i | ||||
\(137\) | 1.34750 | + | 0.777980i | 0.115125 | + | 0.0664673i | 0.556457 | − | 0.830877i | \(-0.312161\pi\) |
−0.441332 | + | 0.897344i | \(0.645494\pi\) | |||||||
\(138\) | 2.40700 | + | 0.454250i | 0.204898 | + | 0.0386683i | ||||
\(139\) | 3.96333 | − | 2.28823i | 0.336165 | − | 0.194085i | −0.322410 | − | 0.946600i | \(-0.604493\pi\) |
0.658575 | + | 0.752515i | \(0.271160\pi\) | |||||||
\(140\) | −1.48831 | + | 0.300028i | −0.125785 | + | 0.0253570i | ||||
\(141\) | −5.30409 | − | 21.9009i | −0.446685 | − | 1.84439i | ||||
\(142\) | 17.2991 | − | 1.72629i | 1.45171 | − | 0.144867i | ||||
\(143\) | −2.94617 | −0.246371 | ||||||||
\(144\) | −4.10879 | − | 11.2747i | −0.342399 | − | 0.939555i | ||||
\(145\) | −0.417972 | −0.0347107 | ||||||||
\(146\) | 19.2226 | − | 1.91824i | 1.59087 | − | 0.158755i | ||||
\(147\) | 9.09446 | + | 2.67422i | 0.750099 | + | 0.220566i | ||||
\(148\) | −9.41240 | + | 1.89744i | −0.773695 | + | 0.155969i | ||||
\(149\) | 12.4251 | − | 7.17363i | 1.01790 | − | 0.587687i | 0.104408 | − | 0.994535i | \(-0.466705\pi\) |
0.913496 | + | 0.406848i | \(0.133372\pi\) | |||||||
\(150\) | 3.74482 | + | 10.6859i | 0.305763 | + | 0.872497i | ||||
\(151\) | −14.5754 | − | 8.41513i | −1.18613 | − | 0.684814i | −0.228707 | − | 0.973495i | \(-0.573450\pi\) |
−0.957425 | + | 0.288681i | \(0.906783\pi\) | |||||||
\(152\) | −6.40850 | − | 20.8361i | −0.519798 | − | 1.69003i | ||||
\(153\) | −16.9388 | − | 0.820094i | −1.36942 | − | 0.0663007i | ||||
\(154\) | 1.64395 | − | 1.18124i | 0.132473 | − | 0.0951872i | ||||
\(155\) | −2.50274 | + | 4.33488i | −0.201025 | + | 0.348186i | ||||
\(156\) | −8.77720 | − | 0.766122i | −0.702739 | − | 0.0613389i | ||||
\(157\) | 1.18664 | + | 2.05532i | 0.0947041 | + | 0.164032i | 0.909485 | − | 0.415737i | \(-0.136476\pi\) |
−0.814781 | + | 0.579769i | \(0.803143\pi\) | |||||||
\(158\) | 4.32329 | + | 1.95216i | 0.343943 | + | 0.155305i | ||||
\(159\) | −8.52757 | − | 8.95042i | −0.676280 | − | 0.709815i | ||||
\(160\) | 1.81606 | − | 2.96281i | 0.143572 | − | 0.234230i | ||||
\(161\) | 1.23572i | 0.0973887i | ||||||||
\(162\) | 12.7279 | − | 0.0344544i | 0.999996 | − | 0.00270700i | ||||
\(163\) | − | 14.5657i | − | 1.14087i | −0.821341 | − | 0.570437i | \(-0.806774\pi\) | ||
0.821341 | − | 0.570437i | \(-0.193226\pi\) | |||||||
\(164\) | 0.681949 | − | 0.601165i | 0.0532513 | − | 0.0469431i | ||||
\(165\) | 0.850195 | + | 0.892353i | 0.0661876 | + | 0.0694696i | ||||
\(166\) | 3.45198 | − | 7.64483i | 0.267925 | − | 0.593354i | ||||
\(167\) | 2.40414 | + | 4.16410i | 0.186038 | + | 0.322227i | 0.943926 | − | 0.330158i | \(-0.107102\pi\) |
−0.757888 | + | 0.652385i | \(0.773769\pi\) | |||||||
\(168\) | 5.20481 | − | 3.09165i | 0.401560 | − | 0.238526i | ||||
\(169\) | 3.26557 | − | 5.65614i | 0.251198 | − | 0.435088i | ||||
\(170\) | −2.86573 | − | 3.98827i | −0.219791 | − | 0.305886i | ||||
\(171\) | 23.0946 | + | 1.11813i | 1.76609 | + | 0.0855054i | ||||
\(172\) | 5.59758 | + | 1.88407i | 0.426811 | + | 0.143659i | ||||
\(173\) | 6.62896 | + | 3.82723i | 0.503991 | + | 0.290979i | 0.730360 | − | 0.683062i | \(-0.239352\pi\) |
−0.226369 | + | 0.974042i | \(0.572686\pi\) | |||||||
\(174\) | 1.57281 | − | 0.551186i | 0.119235 | − | 0.0417853i | ||||
\(175\) | −4.94698 | + | 2.85614i | −0.373956 | + | 0.215904i | ||||
\(176\) | −0.581132 | + | 4.59686i | −0.0438045 | + | 0.346501i | ||||
\(177\) | 2.02982 | + | 0.596865i | 0.152570 | + | 0.0448631i | ||||
\(178\) | −2.48585 | − | 24.9106i | −0.186323 | − | 1.86713i | ||||
\(179\) | 20.4852 | 1.53113 | 0.765567 | − | 0.643356i | \(-0.222459\pi\) | ||||
0.765567 | + | 0.643356i | \(0.222459\pi\) | |||||||
\(180\) | 2.30085 | + | 2.87958i | 0.171495 | + | 0.214631i | ||||
\(181\) | 11.0459 | 0.821035 | 0.410517 | − | 0.911853i | \(-0.365348\pi\) | ||||
0.410517 | + | 0.911853i | \(0.365348\pi\) | |||||||
\(182\) | −0.441357 | − | 4.42281i | −0.0327155 | − | 0.327841i | ||||
\(183\) | 2.13330 | + | 8.80852i | 0.157698 | + | 0.651145i | ||||
\(184\) | −2.07182 | − | 1.92551i | −0.152736 | − | 0.141950i | ||||
\(185\) | 2.55413 | − | 1.47463i | 0.187783 | − | 0.108417i | ||||
\(186\) | 3.70126 | − | 19.6124i | 0.271389 | − | 1.43805i | ||||
\(187\) | 5.67081 | + | 3.27404i | 0.414691 | + | 0.239422i | ||||
\(188\) | −8.30044 | + | 24.6606i | −0.605372 | + | 1.79856i | ||||
\(189\) | 1.20783 | + | 6.30639i | 0.0878568 | + | 0.458722i | ||||
\(190\) | 3.90718 | + | 5.43767i | 0.283456 | + | 0.394490i | ||||
\(191\) | 3.63815 | − | 6.30146i | 0.263247 | − | 0.455958i | −0.703856 | − | 0.710343i | \(-0.748540\pi\) |
0.967103 | + | 0.254385i | \(0.0818731\pi\) | |||||||
\(192\) | −2.92667 | + | 13.5438i | −0.211214 | + | 0.977440i | ||||
\(193\) | 5.39981 | + | 9.35274i | 0.388687 | + | 0.673225i | 0.992273 | − | 0.124073i | \(-0.0395955\pi\) |
−0.603587 | + | 0.797298i | \(0.706262\pi\) | |||||||
\(194\) | 3.28395 | − | 7.27271i | 0.235774 | − | 0.522150i | ||||
\(195\) | 2.63020 | − | 0.636998i | 0.188353 | − | 0.0456164i | ||||
\(196\) | −7.23834 | − | 8.21101i | −0.517024 | − | 0.586501i | ||||
\(197\) | 22.4271i | 1.59787i | 0.601420 | + | 0.798933i | \(0.294602\pi\) | ||||
−0.601420 | + | 0.798933i | \(0.705398\pi\) | |||||||
\(198\) | −4.37601 | − | 2.23673i | −0.310990 | − | 0.158957i | ||||
\(199\) | 8.49603i | 0.602268i | 0.953582 | + | 0.301134i | \(0.0973651\pi\) | ||||
−0.953582 | + | 0.301134i | \(0.902635\pi\) | |||||||
\(200\) | 2.91978 | − | 12.7445i | 0.206460 | − | 0.901176i | ||||
\(201\) | 5.61732 | − | 19.1034i | 0.396215 | − | 1.34745i | ||||
\(202\) | 8.95847 | + | 4.04514i | 0.630315 | + | 0.284615i | ||||
\(203\) | 0.420384 | + | 0.728127i | 0.0295052 | + | 0.0511045i | ||||
\(204\) | 16.0430 | + | 11.2286i | 1.12324 | + | 0.786162i | ||||
\(205\) | −0.139618 | + | 0.241826i | −0.00975135 | + | 0.0168898i | ||||
\(206\) | −7.80921 | + | 5.61122i | −0.544093 | + | 0.390952i | ||||
\(207\) | 2.66757 | − | 1.37261i | 0.185409 | − | 0.0954027i | ||||
\(208\) | 8.10301 | + | 6.15165i | 0.561843 | + | 0.426540i | ||||
\(209\) | −7.73166 | − | 4.46388i | −0.534810 | − | 0.308773i | ||||
\(210\) | −1.21224 | + | 1.41000i | −0.0836527 | + | 0.0972992i | ||||
\(211\) | −1.11589 | + | 0.644260i | −0.0768212 | + | 0.0443527i | −0.537919 | − | 0.842997i | \(-0.680789\pi\) |
0.461097 | + | 0.887350i | \(0.347456\pi\) | |||||||
\(212\) | 2.82092 | + | 13.9934i | 0.193742 | + | 0.961071i | ||||
\(213\) | 15.4156 | − | 14.6873i | 1.05626 | − | 1.00636i | ||||
\(214\) | 18.5407 | − | 1.85019i | 1.26742 | − | 0.126477i | ||||
\(215\) | −1.81412 | −0.123722 | ||||||||
\(216\) | −12.4553 | − | 7.80157i | −0.847479 | − | 0.530830i | ||||
\(217\) | 10.0688 | 0.683512 | ||||||||
\(218\) | 1.21072 | − | 0.120819i | 0.0820002 | − | 0.00818288i | ||||
\(219\) | 17.1297 | − | 16.3204i | 1.15752 | − | 1.10283i | ||||
\(220\) | −0.281244 | − | 1.39514i | −0.0189615 | − | 0.0940600i | ||||
\(221\) | 12.4513 | − | 7.18876i | 0.837564 | − | 0.483568i | ||||
\(222\) | −7.66648 | + | 8.91714i | −0.514541 | + | 0.598479i | ||||
\(223\) | −14.5474 | − | 8.39892i | −0.974163 | − | 0.562433i | −0.0736604 | − | 0.997283i | \(-0.523468\pi\) |
−0.900503 | + | 0.434850i | \(0.856801\pi\) | |||||||
\(224\) | −6.98790 | − | 0.183759i | −0.466899 | − | 0.0122779i | ||||
\(225\) | 11.6605 | + | 7.50659i | 0.777369 | + | 0.500439i | ||||
\(226\) | −20.5621 | + | 14.7747i | −1.36777 | + | 0.982798i | ||||
\(227\) | −5.14797 | + | 8.91655i | −0.341683 | + | 0.591812i | −0.984745 | − | 0.174002i | \(-0.944330\pi\) |
0.643062 | + | 0.765814i | \(0.277664\pi\) | |||||||
\(228\) | −21.8733 | − | 15.3093i | −1.44860 | − | 1.01388i | ||||
\(229\) | −0.183411 | − | 0.317678i | −0.0121202 | − | 0.0209928i | 0.859902 | − | 0.510460i | \(-0.170525\pi\) |
−0.872022 | + | 0.489467i | \(0.837191\pi\) | |||||||
\(230\) | 0.791796 | + | 0.357531i | 0.0522095 | + | 0.0235749i | ||||
\(231\) | 0.699420 | − | 2.37859i | 0.0460185 | − | 0.156499i | ||||
\(232\) | −1.87582 | − | 0.429752i | −0.123154 | − | 0.0282146i | ||||
\(233\) | − | 2.86699i | − | 0.187822i | −0.995581 | − | 0.0939112i | \(-0.970063\pi\) | ||
0.995581 | − | 0.0939112i | \(-0.0299370\pi\) | |||||||
\(234\) | −9.05734 | + | 5.86549i | −0.592097 | + | 0.383439i | ||||
\(235\) | − | 7.99228i | − | 0.521359i | ||||||
\(236\) | −1.61554 | − | 1.83264i | −0.105163 | − | 0.119295i | ||||
\(237\) | 5.64647 | − | 1.36750i | 0.366778 | − | 0.0888284i | ||||
\(238\) | −4.06549 | + | 9.00353i | −0.263527 | + | 0.583612i | ||||
\(239\) | 9.59980 | + | 16.6273i | 0.620959 | + | 1.07553i | 0.989307 | + | 0.145845i | \(0.0465902\pi\) |
−0.368348 | + | 0.929688i | \(0.620076\pi\) | |||||||
\(240\) | −0.475089 | − | 4.22951i | −0.0306669 | − | 0.273014i | ||||
\(241\) | 9.69951 | − | 16.8000i | 0.624801 | − | 1.08219i | −0.363779 | − | 0.931485i | \(-0.618514\pi\) |
0.988579 | − | 0.150701i | \(-0.0481530\pi\) | |||||||
\(242\) | −7.97020 | − | 11.0922i | −0.512344 | − | 0.713035i | ||||
\(243\) | 12.2721 | − | 9.61231i | 0.787253 | − | 0.616630i | ||||
\(244\) | 3.33843 | − | 9.91848i | 0.213721 | − | 0.634966i | ||||
\(245\) | 2.91170 | + | 1.68107i | 0.186022 | + | 0.107400i | ||||
\(246\) | 0.206478 | − | 1.09410i | 0.0131646 | − | 0.0697571i | ||||
\(247\) | −16.9763 | + | 9.80125i | −1.08017 | + | 0.623639i | ||||
\(248\) | −15.6892 | + | 16.8813i | −0.996262 | + | 1.07196i | ||||
\(249\) | −2.41813 | − | 9.98459i | −0.153242 | − | 0.632748i | ||||
\(250\) | 0.830117 | + | 8.31857i | 0.0525012 | + | 0.526112i | ||||
\(251\) | −7.05478 | −0.445294 | −0.222647 | − | 0.974899i | \(-0.571470\pi\) | ||||
−0.222647 | + | 0.974899i | \(0.571470\pi\) | |||||||
\(252\) | 2.70223 | − | 6.90438i | 0.170225 | − | 0.434935i | ||||
\(253\) | −1.15836 | −0.0728256 | ||||||||
\(254\) | −2.60520 | − | 26.1066i | −0.163465 | − | 1.63808i | ||||
\(255\) | −5.77052 | − | 1.69681i | −0.361364 | − | 0.106259i | ||||
\(256\) | 11.1966 | − | 11.4296i | 0.699790 | − | 0.714349i | ||||
\(257\) | 17.5036 | − | 10.1057i | 1.09184 | − | 0.630376i | 0.157777 | − | 0.987475i | \(-0.449567\pi\) |
0.934067 | + | 0.357099i | \(0.116234\pi\) | |||||||
\(258\) | 6.82647 | − | 2.39231i | 0.424998 | − | 0.148939i | ||||
\(259\) | −5.13775 | − | 2.96628i | −0.319244 | − | 0.184316i | ||||
\(260\) | −2.96163 | − | 0.996846i | −0.183673 | − | 0.0618218i | ||||
\(261\) | 1.10487 | − | 1.71627i | 0.0683895 | − | 0.106235i | ||||
\(262\) | −1.86367 | − | 2.59369i | −0.115138 | − | 0.160239i | ||||
\(263\) | −11.2898 | + | 19.5545i | −0.696157 | + | 1.20578i | 0.273632 | + | 0.961834i | \(0.411775\pi\) |
−0.969789 | + | 0.243945i | \(0.921558\pi\) | |||||||
\(264\) | 2.89810 | + | 4.87896i | 0.178366 | + | 0.300279i | ||||
\(265\) | −2.19233 | − | 3.79722i | −0.134674 | − | 0.233261i | ||||
\(266\) | 5.54295 | − | 12.2755i | 0.339860 | − | 0.752662i | ||||
\(267\) | −21.1497 | − | 22.1984i | −1.29434 | − | 1.35852i | ||||
\(268\) | −17.2476 | + | 15.2045i | −1.05357 | + | 0.928761i | ||||
\(269\) | − | 1.31345i | − | 0.0800822i | −0.999198 | − | 0.0400411i | \(-0.987251\pi\) | ||
0.999198 | − | 0.0400411i | \(-0.0127489\pi\) | |||||||
\(270\) | 4.39031 | + | 1.05070i | 0.267186 | + | 0.0639434i | ||||
\(271\) | − | 1.60738i | − | 0.0976414i | −0.998808 | − | 0.0488207i | \(-0.984454\pi\) | ||
0.998808 | − | 0.0488207i | \(-0.0155463\pi\) | |||||||
\(272\) | −8.76048 | − | 20.8455i | −0.531182 | − | 1.26395i | ||||
\(273\) | −3.75507 | − | 3.94127i | −0.227267 | − | 0.238536i | ||||
\(274\) | −2.00549 | − | 0.905565i | −0.121156 | − | 0.0547072i | ||||
\(275\) | −2.67733 | − | 4.63727i | −0.161449 | − | 0.279638i | ||||
\(276\) | −3.45098 | − | 0.301220i | −0.207725 | − | 0.0181313i | ||||
\(277\) | −3.08769 | + | 5.34804i | −0.185521 | + | 0.321332i | −0.943752 | − | 0.330654i | \(-0.892731\pi\) |
0.758231 | + | 0.651986i | \(0.226064\pi\) | |||||||
\(278\) | −5.25596 | + | 3.77661i | −0.315231 | + | 0.226506i | ||||
\(279\) | −11.1841 | − | 21.7356i | −0.669574 | − | 1.30127i | ||||
\(280\) | 2.05226 | − | 0.631207i | 0.122646 | − | 0.0377218i | ||||
\(281\) | 9.21222 | + | 5.31868i | 0.549555 | + | 0.317286i | 0.748942 | − | 0.662635i | \(-0.230562\pi\) |
−0.199387 | + | 0.979921i | \(0.563895\pi\) | |||||||
\(282\) | 10.5396 | + | 30.0747i | 0.627621 | + | 1.79092i | ||||
\(283\) | −0.335612 | + | 0.193766i | −0.0199501 | + | 0.0115182i | −0.509942 | − | 0.860209i | \(-0.670333\pi\) |
0.489992 | + | 0.871727i | \(0.337000\pi\) | |||||||
\(284\) | −24.1013 | + | 4.85856i | −1.43015 | + | 0.288303i | ||||
\(285\) | 7.86761 | + | 2.31346i | 0.466037 | + | 0.137038i | ||||
\(286\) | 4.14592 | − | 0.413725i | 0.245154 | − | 0.0244641i | ||||
\(287\) | 0.561696 | 0.0331559 | ||||||||
\(288\) | 7.36527 | + | 15.2890i | 0.434003 | + | 0.900912i | ||||
\(289\) | −14.9551 | −0.879712 | ||||||||
\(290\) | 0.588180 | − | 0.0586950i | 0.0345391 | − | 0.00344669i | ||||
\(291\) | −2.30042 | − | 9.49858i | −0.134853 | − | 0.556817i | ||||
\(292\) | −26.7811 | + | 5.39879i | −1.56725 | + | 0.315940i | ||||
\(293\) | −0.0918536 | + | 0.0530317i | −0.00536614 | + | 0.00309814i | −0.502681 | − | 0.864472i | \(-0.667653\pi\) |
0.497315 | + | 0.867570i | \(0.334320\pi\) | |||||||
\(294\) | −13.1735 | − | 2.48610i | −0.768293 | − | 0.144992i | ||||
\(295\) | 0.649870 | + | 0.375203i | 0.0378369 | + | 0.0218452i | ||||
\(296\) | 12.9789 | − | 3.99189i | 0.754384 | − | 0.232024i | ||||
\(297\) | −5.91158 | + | 1.13222i | −0.343025 | + | 0.0656978i | ||||
\(298\) | −16.4775 | + | 11.8397i | −0.954517 | + | 0.685858i | ||||
\(299\) | −1.27170 | + | 2.20264i | −0.0735441 | + | 0.127382i | ||||
\(300\) | −6.77040 | − | 14.5115i | −0.390889 | − | 0.837824i | ||||
\(301\) | 1.82459 | + | 3.16029i | 0.105168 | + | 0.182156i | ||||
\(302\) | 21.6926 | + | 9.79518i | 1.24827 | + | 0.563649i | ||||
\(303\) | 11.7003 | − | 2.83364i | 0.672163 | − | 0.162788i | ||||
\(304\) | 11.9442 | + | 28.4211i | 0.685045 | + | 1.63006i | ||||
\(305\) | 3.21448i | 0.184061i | ||||||||
\(306\) | 23.9519 | − | 1.22463i | 1.36924 | − | 0.0700075i | ||||
\(307\) | − | 17.2518i | − | 0.984610i | −0.870423 | − | 0.492305i | \(-0.836154\pi\) | ||
0.870423 | − | 0.492305i | \(-0.163846\pi\) | |||||||
\(308\) | −2.14753 | + | 1.89313i | −0.122367 | + | 0.107871i | ||||
\(309\) | −3.32244 | + | 11.2989i | −0.189007 | + | 0.642774i | ||||
\(310\) | 2.91318 | − | 6.45161i | 0.165458 | − | 0.366427i | ||||
\(311\) | −1.81814 | − | 3.14910i | −0.103097 | − | 0.178569i | 0.809862 | − | 0.586620i | \(-0.199542\pi\) |
−0.912959 | + | 0.408051i | \(0.866209\pi\) | |||||||
\(312\) | 12.4591 | − | 0.154461i | 0.705356 | − | 0.00874463i | ||||
\(313\) | 2.00028 | − | 3.46458i | 0.113062 | − | 0.195830i | −0.803941 | − | 0.594709i | \(-0.797267\pi\) |
0.917004 | + | 0.398879i | \(0.130601\pi\) | |||||||
\(314\) | −1.95849 | − | 2.72566i | −0.110524 | − | 0.153818i | ||||
\(315\) | −0.110130 | + | 2.27471i | −0.00620515 | + | 0.128166i | ||||
\(316\) | −6.35798 | − | 2.14001i | −0.357664 | − | 0.120385i | ||||
\(317\) | 14.6929 | + | 8.48293i | 0.825233 | + | 0.476449i | 0.852218 | − | 0.523187i | \(-0.175257\pi\) |
−0.0269845 | + | 0.999636i | \(0.508590\pi\) | |||||||
\(318\) | 13.2571 | + | 11.3977i | 0.743421 | + | 0.639154i | ||||
\(319\) | −0.682543 | + | 0.394066i | −0.0382151 | + | 0.0220635i | ||||
\(320\) | −2.13954 | + | 4.42436i | −0.119604 | + | 0.247329i | ||||
\(321\) | 16.5220 | − | 15.7415i | 0.922170 | − | 0.878603i | ||||
\(322\) | −0.173531 | − | 1.73894i | −0.00967048 | − | 0.0969074i | ||||
\(323\) | 43.5680 | 2.42419 | ||||||||
\(324\) | −17.9061 | + | 1.83584i | −0.994785 | + | 0.101991i | ||||
\(325\) | −11.7571 | −0.652168 | ||||||||
\(326\) | 2.04544 | + | 20.4972i | 0.113286 | + | 1.13524i | ||||
\(327\) | 1.07890 | − | 1.02793i | 0.0596632 | − | 0.0568445i | ||||
\(328\) | −0.875235 | + | 0.941739i | −0.0483268 | + | 0.0519989i | ||||
\(329\) | −13.9229 | + | 8.03842i | −0.767597 | + | 0.443172i | ||||
\(330\) | −1.32173 | − | 1.13635i | −0.0727587 | − | 0.0625540i | ||||
\(331\) | 26.0155 | + | 15.0201i | 1.42994 | + | 0.825578i | 0.997116 | − | 0.0758987i | \(-0.0241825\pi\) |
0.432828 | + | 0.901477i | \(0.357516\pi\) | |||||||
\(332\) | −3.78416 | + | 11.2427i | −0.207683 | + | 0.617026i | ||||
\(333\) | −0.696489 | + | 14.3858i | −0.0381673 | + | 0.788336i | ||||
\(334\) | −3.96792 | − | 5.52221i | −0.217115 | − | 0.302162i | ||||
\(335\) | 3.53117 | − | 6.11617i | 0.192929 | − | 0.334162i | ||||
\(336\) | −6.89018 | + | 5.08155i | −0.375890 | + | 0.277221i | ||||
\(337\) | 10.9061 | + | 18.8899i | 0.594092 | + | 1.02900i | 0.993674 | + | 0.112301i | \(0.0358220\pi\) |
−0.399582 | + | 0.916698i | \(0.630845\pi\) | |||||||
\(338\) | −3.80111 | + | 8.41803i | −0.206753 | + | 0.457881i | ||||
\(339\) | −8.74818 | + | 29.7508i | −0.475136 | + | 1.61584i | ||||
\(340\) | 4.59279 | + | 5.20996i | 0.249079 | + | 0.282550i | ||||
\(341\) | 9.43841i | 0.511118i | ||||||||
\(342\) | −32.6563 | + | 1.66968i | −1.76585 | + | 0.0902859i | ||||
\(343\) | − | 15.4132i | − | 0.832233i | ||||||
\(344\) | −8.14163 | − | 1.86525i | −0.438967 | − | 0.100568i | ||||
\(345\) | 1.03413 | − | 0.250452i | 0.0556758 | − | 0.0134839i | ||||
\(346\) | −9.86588 | − | 4.45488i | −0.530393 | − | 0.239496i | ||||
\(347\) | −4.71442 | − | 8.16561i | −0.253083 | − | 0.438353i | 0.711290 | − | 0.702899i | \(-0.248111\pi\) |
−0.964373 | + | 0.264546i | \(0.914778\pi\) | |||||||
\(348\) | −2.13590 | + | 0.996510i | −0.114496 | + | 0.0534185i | ||||
\(349\) | −4.04905 | + | 7.01316i | −0.216741 | + | 0.375406i | −0.953810 | − | 0.300412i | \(-0.902876\pi\) |
0.737069 | + | 0.675817i | \(0.236209\pi\) | |||||||
\(350\) | 6.56043 | − | 4.71392i | 0.350670 | − | 0.251970i | ||||
\(351\) | −4.33705 | + | 12.4840i | −0.231494 | + | 0.666344i | ||||
\(352\) | 0.172255 | − | 6.55042i | 0.00918120 | − | 0.349139i | ||||
\(353\) | 0.787791 | + | 0.454831i | 0.0419299 | + | 0.0242082i | 0.520818 | − | 0.853667i | \(-0.325627\pi\) |
−0.478889 | + | 0.877876i | \(0.658960\pi\) | |||||||
\(354\) | −2.94022 | − | 0.554880i | −0.156271 | − | 0.0294915i | ||||
\(355\) | 6.54008 | − | 3.77592i | 0.347111 | − | 0.200405i | ||||
\(356\) | 6.99631 | + | 34.7058i | 0.370804 | + | 1.83940i | ||||
\(357\) | 2.84790 | + | 11.7591i | 0.150727 | + | 0.622359i | ||||
\(358\) | −28.8272 | + | 2.87670i | −1.52357 | + | 0.152038i | ||||
\(359\) | 21.2352 | 1.12075 | 0.560375 | − | 0.828239i | \(-0.310657\pi\) | ||||
0.560375 | + | 0.828239i | \(0.310657\pi\) | |||||||
\(360\) | −3.64218 | − | 3.72910i | −0.191960 | − | 0.196541i | ||||
\(361\) | −40.4013 | −2.12638 | ||||||||
\(362\) | −15.5440 | + | 1.55115i | −0.816977 | + | 0.0815269i | ||||
\(363\) | −16.0490 | − | 4.71920i | −0.842356 | − | 0.247694i | ||||
\(364\) | 1.24218 | + | 6.16191i | 0.0651077 | + | 0.322972i | ||||
\(365\) | 7.26728 | − | 4.19576i | 0.380387 | − | 0.219616i | ||||
\(366\) | −4.23899 | − | 12.0960i | −0.221576 | − | 0.632267i | ||||
\(367\) | −27.4416 | − | 15.8434i | −1.43244 | − | 0.827019i | −0.435133 | − | 0.900366i | \(-0.643298\pi\) |
−0.997306 | + | 0.0733474i | \(0.976632\pi\) | |||||||
\(368\) | 3.18591 | + | 2.41868i | 0.166077 | + | 0.126082i | ||||
\(369\) | −0.623915 | − | 1.21254i | −0.0324797 | − | 0.0631223i | ||||
\(370\) | −3.38715 | + | 2.43380i | −0.176090 | + | 0.126527i | ||||
\(371\) | −4.40996 | + | 7.63828i | −0.228954 | + | 0.396560i | ||||
\(372\) | −2.45436 | + | 28.1188i | −0.127253 | + | 1.45789i | ||||
\(373\) | 17.6563 | + | 30.5815i | 0.914206 | + | 1.58345i | 0.808059 | + | 0.589101i | \(0.200518\pi\) |
0.106147 | + | 0.994350i | \(0.466149\pi\) | |||||||
\(374\) | −8.43987 | − | 3.81097i | −0.436415 | − | 0.197061i | ||||
\(375\) | 7.06265 | + | 7.41286i | 0.364714 | + | 0.382798i | ||||
\(376\) | 8.21753 | − | 35.8687i | 0.423787 | − | 1.84979i | ||||
\(377\) | 1.73049i | 0.0891247i | ||||||||
\(378\) | −2.58528 | − | 8.70489i | −0.132973 | − | 0.447731i | ||||
\(379\) | 20.6419i | 1.06030i | 0.847903 | + | 0.530152i | \(0.177865\pi\) | ||||
−0.847903 | + | 0.530152i | \(0.822135\pi\) | |||||||
\(380\) | −6.26188 | − | 7.10334i | −0.321228 | − | 0.364394i | ||||
\(381\) | −22.1651 | − | 23.2642i | −1.13555 | − | 1.19186i | ||||
\(382\) | −4.23479 | + | 9.37847i | −0.216671 | + | 0.479844i | ||||
\(383\) | −13.4008 | − | 23.2109i | −0.684751 | − | 1.18602i | −0.973515 | − | 0.228623i | \(-0.926578\pi\) |
0.288764 | − | 0.957400i | \(-0.406756\pi\) | |||||||
\(384\) | 2.21655 | − | 19.4702i | 0.113113 | − | 0.993582i | ||||
\(385\) | 0.439671 | − | 0.761533i | 0.0224077 | − | 0.0388113i | ||||
\(386\) | −8.91213 | − | 12.4031i | −0.453615 | − | 0.631302i | ||||
\(387\) | 4.79545 | − | 7.44913i | 0.243767 | − | 0.378661i | ||||
\(388\) | −3.59996 | + | 10.6955i | −0.182760 | + | 0.542981i | ||||
\(389\) | −34.0250 | − | 19.6443i | −1.72513 | − | 0.996006i | −0.907208 | − | 0.420683i | \(-0.861791\pi\) |
−0.817926 | − | 0.575324i | \(-0.804876\pi\) | |||||||
\(390\) | −3.61183 | + | 1.26575i | −0.182892 | + | 0.0640939i | ||||
\(391\) | 4.89554 | − | 2.82644i | 0.247578 | − | 0.142939i | ||||
\(392\) | 11.3390 | + | 10.5383i | 0.572707 | + | 0.532263i | ||||
\(393\) | −3.75274 | − | 1.10349i | −0.189301 | − | 0.0556637i | ||||
\(394\) | −3.14940 | − | 31.5600i | −0.158665 | − | 1.58997i | ||||
\(395\) | 2.06056 | 0.103678 | ||||||||
\(396\) | 6.47213 | + | 2.53306i | 0.325237 | + | 0.127291i | ||||
\(397\) | −28.6183 | −1.43631 | −0.718156 | − | 0.695882i | \(-0.755014\pi\) | ||||
−0.718156 | + | 0.695882i | \(0.755014\pi\) | |||||||
\(398\) | −1.19308 | − | 11.9558i | −0.0598038 | − | 0.599291i | ||||
\(399\) | −3.88286 | − | 16.0326i | −0.194386 | − | 0.802633i | ||||
\(400\) | −2.31909 | + | 18.3445i | −0.115955 | + | 0.917223i | ||||
\(401\) | 15.4427 | − | 8.91584i | 0.771171 | − | 0.445236i | −0.0621213 | − | 0.998069i | \(-0.519787\pi\) |
0.833292 | + | 0.552833i | \(0.186453\pi\) | |||||||
\(402\) | −5.22218 | + | 27.6715i | −0.260458 | + | 1.38013i | ||||
\(403\) | 17.9473 | + | 10.3619i | 0.894018 | + | 0.516162i | ||||
\(404\) | −13.1746 | − | 4.43440i | −0.655462 | − | 0.220620i | ||||
\(405\) | 5.03278 | − | 2.28894i | 0.250081 | − | 0.113739i | ||||
\(406\) | −0.693825 | − | 0.965604i | −0.0344339 | − | 0.0479221i | ||||
\(407\) | 2.78058 | − | 4.81610i | 0.137828 | − | 0.238725i | ||||
\(408\) | −24.1530 | − | 13.5483i | −1.19575 | − | 0.670741i | ||||
\(409\) | 6.53070 | + | 11.3115i | 0.322922 | + | 0.559318i | 0.981090 | − | 0.193554i | \(-0.0620014\pi\) |
−0.658167 | + | 0.752872i | \(0.728668\pi\) | |||||||
\(410\) | 0.162515 | − | 0.359909i | 0.00802603 | − | 0.0177746i | ||||
\(411\) | −2.61928 | + | 0.634352i | −0.129200 | + | 0.0312903i | ||||
\(412\) | 10.2013 | − | 8.99288i | 0.502584 | − | 0.443047i | ||||
\(413\) | − | 1.50947i | − | 0.0742764i | ||||||
\(414\) | −3.56112 | + | 2.30617i | −0.175020 | + | 0.113342i | ||||
\(415\) | − | 3.64367i | − | 0.178861i | ||||||
\(416\) | −12.2666 | − | 7.51886i | −0.601421 | − | 0.368643i | ||||
\(417\) | −2.23615 | + | 7.60470i | −0.109505 | + | 0.372404i | ||||
\(418\) | 11.5070 | + | 5.19593i | 0.562828 | + | 0.254141i | ||||
\(419\) | 4.78374 | + | 8.28568i | 0.233701 | + | 0.404782i | 0.958894 | − | 0.283763i | \(-0.0915830\pi\) |
−0.725193 | + | 0.688545i | \(0.758250\pi\) | |||||||
\(420\) | 1.50789 | − | 2.15442i | 0.0735776 | − | 0.105125i | ||||
\(421\) | −19.0509 | + | 32.9972i | −0.928486 | + | 1.60818i | −0.142629 | + | 0.989776i | \(0.545556\pi\) |
−0.785857 | + | 0.618408i | \(0.787778\pi\) | |||||||
\(422\) | 1.47984 | − | 1.06332i | 0.0720374 | − | 0.0517617i | ||||
\(423\) | 32.8178 | + | 21.1268i | 1.59566 | + | 1.02722i | ||||
\(424\) | −5.93473 | − | 19.2957i | −0.288216 | − | 0.937083i | ||||
\(425\) | 22.6302 | + | 13.0656i | 1.09773 | + | 0.633772i | ||||
\(426\) | −19.6307 | + | 22.8331i | −0.951111 | + | 1.10627i | ||||
\(427\) | 5.59979 | − | 3.23304i | 0.270993 | − | 0.156458i | ||||
\(428\) | −25.8311 | + | 5.20727i | −1.24859 | + | 0.251703i | ||||
\(429\) | 3.69452 | − | 3.51998i | 0.178373 | − | 0.169946i | ||||
\(430\) | 2.55288 | − | 0.254754i | 0.123111 | − | 0.0122853i | ||||
\(431\) | −14.5812 | −0.702350 | −0.351175 | − | 0.936310i | \(-0.614218\pi\) | ||||
−0.351175 | + | 0.936310i | \(0.614218\pi\) | |||||||
\(432\) | 18.6230 | + | 9.22948i | 0.896000 | + | 0.444054i | ||||
\(433\) | 17.6064 | 0.846107 | 0.423054 | − | 0.906105i | \(-0.360958\pi\) | ||||
0.423054 | + | 0.906105i | \(0.360958\pi\) | |||||||
\(434\) | −14.1690 | + | 1.41394i | −0.680134 | + | 0.0678712i | ||||
\(435\) | 0.524140 | − | 0.499378i | 0.0251306 | − | 0.0239433i | ||||
\(436\) | −1.68679 | + | 0.340038i | −0.0807824 | + | 0.0162849i | ||||
\(437\) | −6.67465 | + | 3.85361i | −0.319292 | + | 0.184343i | ||||
\(438\) | −21.8135 | + | 25.3720i | −1.04229 | + | 1.21232i | ||||
\(439\) | −9.19061 | − | 5.30620i | −0.438644 | − | 0.253251i | 0.264378 | − | 0.964419i | \(-0.414833\pi\) |
−0.703022 | + | 0.711168i | \(0.748167\pi\) | |||||||
\(440\) | 0.591690 | + | 1.92377i | 0.0282077 | + | 0.0917123i | ||||
\(441\) | −14.5996 | + | 7.51225i | −0.695219 | + | 0.357726i | ||||
\(442\) | −16.5123 | + | 11.8647i | −0.785408 | + | 0.564346i | ||||
\(443\) | −8.71052 | + | 15.0871i | −0.413849 | + | 0.716808i | −0.995307 | − | 0.0967688i | \(-0.969149\pi\) |
0.581458 | + | 0.813577i | \(0.302483\pi\) | |||||||
\(444\) | 9.53624 | − | 13.6250i | 0.452570 | − | 0.646614i | ||||
\(445\) | −5.43730 | − | 9.41768i | −0.257753 | − | 0.446441i | ||||
\(446\) | 21.6508 | + | 9.77631i | 1.02520 | + | 0.462922i | ||||
\(447\) | −7.01038 | + | 23.8409i | −0.331579 | + | 1.12763i | ||||
\(448\) | 9.85934 | − | 0.722708i | 0.465810 | − | 0.0341447i | ||||
\(449\) | 17.6879i | 0.834744i | 0.908736 | + | 0.417372i | \(0.137049\pi\) | ||||
−0.908736 | + | 0.417372i | \(0.862951\pi\) | |||||||
\(450\) | −17.4631 | − | 8.92599i | −0.823220 | − | 0.420775i | ||||
\(451\) | 0.526531i | 0.0247934i | ||||||||
\(452\) | 26.8607 | − | 23.6788i | 1.26342 | − | 1.11376i | ||||
\(453\) | 28.3318 | − | 6.86157i | 1.33115 | − | 0.322385i | ||||
\(454\) | 5.99222 | − | 13.2705i | 0.281229 | − | 0.622816i | ||||
\(455\) | −0.965378 | − | 1.67208i | −0.0452576 | − | 0.0783885i | ||||
\(456\) | 32.9305 | + | 18.4720i | 1.54211 | + | 0.865029i | ||||
\(457\) | 16.9484 | − | 29.3555i | 0.792814 | − | 1.37319i | −0.131404 | − | 0.991329i | \(-0.541948\pi\) |
0.924218 | − | 0.381865i | \(-0.124718\pi\) | |||||||
\(458\) | 0.302712 | + | 0.421288i | 0.0141448 | + | 0.0196855i | ||||
\(459\) | 22.2212 | − | 19.2095i | 1.03720 | − | 0.896622i | ||||
\(460\) | −1.16444 | − | 0.391935i | −0.0542924 | − | 0.0182741i | ||||
\(461\) | −16.1822 | − | 9.34282i | −0.753682 | − | 0.435139i | 0.0733406 | − | 0.997307i | \(-0.476634\pi\) |
−0.827023 | + | 0.562168i | \(0.809967\pi\) | |||||||
\(462\) | −0.650221 | + | 3.44542i | −0.0302510 | + | 0.160296i | ||||
\(463\) | −4.70303 | + | 2.71529i | −0.218568 | + | 0.126190i | −0.605287 | − | 0.796007i | \(-0.706942\pi\) |
0.386719 | + | 0.922198i | \(0.373608\pi\) | |||||||
\(464\) | 2.70005 | + | 0.341339i | 0.125347 | + | 0.0158463i | ||||
\(465\) | −2.04070 | − | 8.42617i | −0.0946351 | − | 0.390754i | ||||
\(466\) | 0.402605 | + | 4.03449i | 0.0186503 | + | 0.186894i | ||||
\(467\) | 33.9084 | 1.56910 | 0.784548 | − | 0.620069i | \(-0.212895\pi\) | ||||
0.784548 | + | 0.620069i | \(0.212895\pi\) | |||||||
\(468\) | 11.9220 | − | 9.52597i | 0.551096 | − | 0.440338i | ||||
\(469\) | −14.2062 | −0.655982 | ||||||||
\(470\) | 1.12234 | + | 11.2469i | 0.0517698 | + | 0.518782i | ||||
\(471\) | −3.94368 | − | 1.15963i | −0.181715 | − | 0.0534331i | ||||
\(472\) | 2.53078 | + | 2.35206i | 0.116489 | + | 0.108263i | ||||
\(473\) | −2.96244 | + | 1.71037i | −0.136213 | + | 0.0786427i | ||||
\(474\) | −7.75382 | + | 2.71730i | −0.356145 | + | 0.124810i | ||||
\(475\) | −30.8543 | − | 17.8138i | −1.41569 | − | 0.817352i | ||||
\(476\) | 4.45671 | − | 13.2409i | 0.204273 | − | 0.606896i | ||||
\(477\) | 21.3873 | + | 1.03547i | 0.979257 | + | 0.0474108i | ||||
\(478\) | −15.8440 | − | 22.0503i | −0.724689 | − | 1.00856i | ||||
\(479\) | 4.62146 | − | 8.00461i | 0.211160 | − | 0.365740i | −0.740918 | − | 0.671596i | \(-0.765609\pi\) |
0.952078 | + | 0.305856i | \(0.0989425\pi\) | |||||||
\(480\) | 1.26250 | + | 5.88515i | 0.0576250 | + | 0.268619i | ||||
\(481\) | −6.10526 | − | 10.5746i | −0.278376 | − | 0.482161i | ||||
\(482\) | −11.2902 | + | 25.0035i | −0.514254 | + | 1.13888i | ||||
\(483\) | −1.47640 | − | 1.54961i | −0.0671785 | − | 0.0705097i | ||||
\(484\) | 12.7735 | + | 14.4900i | 0.580615 | + | 0.658637i | ||||
\(485\) | − | 3.46631i | − | 0.157397i | ||||||
\(486\) | −15.9197 | + | 15.2500i | −0.722132 | + | 0.691755i | ||||
\(487\) | − | 36.2086i | − | 1.64077i | −0.571812 | − | 0.820384i | \(-0.693759\pi\) | ||
0.571812 | − | 0.820384i | \(-0.306241\pi\) | |||||||
\(488\) | −3.30508 | + | 14.4263i | −0.149614 | + | 0.653049i | ||||
\(489\) | 17.4026 | + | 18.2655i | 0.786972 | + | 0.825995i | ||||
\(490\) | −4.33349 | − | 1.95676i | −0.195767 | − | 0.0883974i | ||||
\(491\) | 2.02666 | + | 3.51028i | 0.0914619 | + | 0.158417i | 0.908126 | − | 0.418696i | \(-0.137513\pi\) |
−0.816665 | + | 0.577113i | \(0.804179\pi\) | |||||||
\(492\) | −0.136919 | + | 1.56864i | −0.00617279 | + | 0.0707195i | ||||
\(493\) | 1.92307 | − | 3.33085i | 0.0866107 | − | 0.150014i | ||||
\(494\) | 22.5130 | − | 16.1765i | 1.01291 | − | 0.727816i | ||||
\(495\) | −2.13230 | − | 0.103236i | −0.0958400 | − | 0.00464010i | ||||
\(496\) | 19.7076 | − | 25.9590i | 0.884895 | − | 1.16559i | ||||
\(497\) | −13.1557 | − | 7.59542i | −0.590112 | − | 0.340701i | ||||
\(498\) | 4.80496 | + | 13.7110i | 0.215316 | + | 0.614404i | ||||
\(499\) | 5.79444 | − | 3.34542i | 0.259395 | − | 0.149762i | −0.364664 | − | 0.931139i | \(-0.618816\pi\) |
0.624058 | + | 0.781378i | \(0.285483\pi\) | |||||||
\(500\) | −2.33632 | − | 11.5895i | −0.104484 | − | 0.518299i | ||||
\(501\) | −7.98993 | − | 2.34943i | −0.356964 | − | 0.104965i | ||||
\(502\) | 9.92765 | − | 0.990690i | 0.443093 | − | 0.0442166i | ||||
\(503\) | 43.0762 | 1.92067 | 0.960337 | − | 0.278842i | \(-0.0899506\pi\) | ||||
0.960337 | + | 0.278842i | \(0.0899506\pi\) | |||||||
\(504\) | −2.83308 | + | 10.0955i | −0.126195 | + | 0.449689i | ||||
\(505\) | 4.26977 | 0.190002 | ||||||||
\(506\) | 1.63007 | − | 0.162667i | 0.0724657 | − | 0.00723142i | ||||
\(507\) | 2.66270 | + | 10.9944i | 0.118255 | + | 0.488280i | ||||
\(508\) | 7.33221 | + | 36.3720i | 0.325314 | + | 1.61375i | ||||
\(509\) | −7.97002 | + | 4.60149i | −0.353265 | + | 0.203958i | −0.666122 | − | 0.745843i | \(-0.732047\pi\) |
0.312857 | + | 0.949800i | \(0.398714\pi\) | |||||||
\(510\) | 8.35870 | + | 1.57745i | 0.370129 | + | 0.0698509i | ||||
\(511\) | −14.6185 | − | 8.43997i | −0.646682 | − | 0.373362i | ||||
\(512\) | −14.1511 | + | 17.6563i | −0.625398 | + | 0.780306i | ||||
\(513\) | −30.2968 | + | 26.1905i | −1.33763 | + | 1.15634i | ||||
\(514\) | −23.2123 | + | 16.6790i | −1.02385 | + | 0.735678i | ||||
\(515\) | −2.08856 | + | 3.61749i | −0.0920328 | + | 0.159406i | ||||
\(516\) | −9.27043 | + | 4.32515i | −0.408108 | + | 0.190404i | ||||
\(517\) | −7.53517 | − | 13.0513i | −0.331396 | − | 0.573995i | ||||
\(518\) | 7.64651 | + | 3.45274i | 0.335968 | + | 0.151704i | ||||
\(519\) | −12.8854 | + | 3.12066i | −0.565607 | + | 0.136982i | ||||
\(520\) | 4.30767 | + | 0.986889i | 0.188904 | + | 0.0432779i | ||||
\(521\) | − | 22.5458i | − | 0.987749i | −0.869533 | − | 0.493874i | \(-0.835580\pi\) | ||
0.869533 | − | 0.493874i | \(-0.164420\pi\) | |||||||
\(522\) | −1.31378 | + | 2.57033i | −0.0575027 | + | 0.112500i | ||||
\(523\) | − | 21.9098i | − | 0.958048i | −0.877802 | − | 0.479024i | \(-0.840991\pi\) | ||
0.877802 | − | 0.479024i | \(-0.159009\pi\) | |||||||
\(524\) | 2.98683 | + | 3.38820i | 0.130480 | + | 0.148014i | ||||
\(525\) | 2.79114 | − | 9.49210i | 0.121815 | − | 0.414269i | ||||
\(526\) | 13.1412 | − | 29.1029i | 0.572985 | − | 1.26895i | ||||
\(527\) | −23.0300 | − | 39.8892i | −1.00320 | − | 1.73760i | ||||
\(528\) | −4.76342 | − | 6.45882i | −0.207301 | − | 0.281084i | ||||
\(529\) | −0.500000 | + | 0.866025i | −0.0217391 | + | 0.0376533i | ||||
\(530\) | 3.61833 | + | 5.03568i | 0.157170 | + | 0.218736i | ||||
\(531\) | −3.25852 | + | 1.67668i | −0.141408 | + | 0.0727617i | ||||
\(532\) | −6.07634 | + | 18.0528i | −0.263443 | + | 0.782690i | ||||
\(533\) | 1.00121 | + | 0.578047i | 0.0433671 | + | 0.0250380i | ||||
\(534\) | 32.8796 | + | 28.2681i | 1.42284 | + | 1.22328i | ||||
\(535\) | 7.00947 | − | 4.04692i | 0.303046 | − | 0.174964i | ||||
\(536\) | 22.1361 | − | 23.8182i | 0.956136 | − | 1.02879i | ||||
\(537\) | −25.6886 | + | 24.4750i | −1.10854 | + | 1.05617i | ||||
\(538\) | 0.184445 | + | 1.84831i | 0.00795198 | + | 0.0796864i | ||||
\(539\) | 6.33970 | 0.273070 | ||||||||
\(540\) | −6.32569 | − | 0.862043i | −0.272215 | − | 0.0370964i | ||||
\(541\) | 11.9733 | 0.514772 | 0.257386 | − | 0.966309i | \(-0.417139\pi\) | ||||
0.257386 | + | 0.966309i | \(0.417139\pi\) | |||||||
\(542\) | 0.225721 | + | 2.26194i | 0.00969557 | + | 0.0971588i | ||||
\(543\) | −13.8516 | + | 13.1972i | −0.594431 | + | 0.566348i | ||||
\(544\) | 15.2553 | + | 28.1041i | 0.654064 | + | 1.20495i | ||||
\(545\) | 0.457723 | − | 0.264267i | 0.0196067 | − | 0.0113199i | ||||
\(546\) | 5.83769 | + | 5.01893i | 0.249830 | + | 0.214790i | ||||
\(547\) | 6.85376 | + | 3.95702i | 0.293046 | + | 0.169190i | 0.639315 | − | 0.768945i | \(-0.279218\pi\) |
−0.346269 | + | 0.938135i | \(0.612551\pi\) | |||||||
\(548\) | 2.94933 | + | 0.992706i | 0.125989 | + | 0.0424063i | ||||
\(549\) | −13.1993 | − | 8.49717i | −0.563332 | − | 0.362650i | ||||
\(550\) | 4.41881 | + | 6.14971i | 0.188419 | + | 0.262225i | ||||
\(551\) | −2.62194 | + | 4.54133i | −0.111698 | + | 0.193467i | ||||
\(552\) | 4.89860 | − | 0.0607302i | 0.208498 | − | 0.00258485i | ||||
\(553\) | −2.07246 | − | 3.58960i | −0.0881298 | − | 0.152645i | ||||
\(554\) | 3.59406 | − | 7.95949i | 0.152697 | − | 0.338166i | ||||
\(555\) | −1.44107 | + | 4.90078i | −0.0611700 | + | 0.208027i | ||||
\(556\) | 6.86597 | − | 6.05263i | 0.291182 | − | 0.256689i | ||||
\(557\) | − | 30.4629i | − | 1.29076i | −0.763863 | − | 0.645378i | \(-0.776700\pi\) | ||
0.763863 | − | 0.645378i | \(-0.223300\pi\) | |||||||
\(558\) | 18.7908 | + | 29.0163i | 0.795478 | + | 1.22836i | ||||
\(559\) | 7.51083i | 0.317674i | ||||||||
\(560\) | −2.79934 | + | 1.17644i | −0.118294 | + | 0.0497138i | ||||
\(561\) | −11.0230 | + | 2.66960i | −0.465389 | + | 0.112711i | ||||
\(562\) | −13.7106 | − | 6.19092i | −0.578345 | − | 0.261148i | ||||
\(563\) | 8.38168 | + | 14.5175i | 0.353246 | + | 0.611840i | 0.986816 | − | 0.161845i | \(-0.0517446\pi\) |
−0.633570 | + | 0.773685i | \(0.718411\pi\) | |||||||
\(564\) | −19.0548 | − | 40.8417i | −0.802354 | − | 1.71975i | ||||
\(565\) | −5.49930 | + | 9.52507i | −0.231357 | + | 0.400723i | ||||
\(566\) | 0.445071 | − | 0.319801i | 0.0187077 | − | 0.0134422i | ||||
\(567\) | −9.04928 | − | 6.46519i | −0.380034 | − | 0.271513i | ||||
\(568\) | 33.2337 | − | 10.2216i | 1.39445 | − | 0.428888i | ||||
\(569\) | 21.6469 | + | 12.4978i | 0.907485 | + | 0.523936i | 0.879621 | − | 0.475675i | \(-0.157796\pi\) |
0.0278636 | + | 0.999612i | \(0.491130\pi\) | |||||||
\(570\) | −11.3964 | − | 2.15072i | −0.477341 | − | 0.0900839i | ||||
\(571\) | 13.3888 | − | 7.73000i | 0.560302 | − | 0.323490i | −0.192965 | − | 0.981206i | \(-0.561810\pi\) |
0.753267 | + | 0.657715i | \(0.228477\pi\) | |||||||
\(572\) | −5.77614 | + | 1.16441i | −0.241513 | + | 0.0486864i | ||||
\(573\) | 2.96649 | + | 12.2488i | 0.123927 | + | 0.511702i | ||||
\(574\) | −0.790432 | + | 0.0788779i | −0.0329920 | + | 0.00329230i | ||||
\(575\) | −4.62262 | −0.192776 | ||||||||
\(576\) | −12.5116 | − | 20.4807i | −0.521316 | − | 0.853364i | ||||
\(577\) | −25.4084 | −1.05777 | −0.528883 | − | 0.848695i | \(-0.677389\pi\) | ||||
−0.528883 | + | 0.848695i | \(0.677389\pi\) | |||||||
\(578\) | 21.0452 | − | 2.10012i | 0.875364 | − | 0.0873534i | ||||
\(579\) | −17.9457 | − | 5.27692i | −0.745799 | − | 0.219301i | ||||
\(580\) | −0.819459 | + | 0.165194i | −0.0340262 | + | 0.00685931i | ||||
\(581\) | −6.34744 | + | 3.66470i | −0.263336 | + | 0.152037i | ||||
\(582\) | 4.57108 | + | 13.0436i | 0.189477 | + | 0.540674i | ||||
\(583\) | −7.16008 | − | 4.13388i | −0.296540 | − | 0.171208i | ||||
\(584\) | 36.9289 | − | 11.3581i | 1.52813 | − | 0.470003i | ||||
\(585\) | −2.53724 | + | 3.94127i | −0.104902 | + | 0.162952i | ||||
\(586\) | 0.121811 | − | 0.0875263i | 0.00503198 | − | 0.00361568i | ||||
\(587\) | 7.77549 | − | 13.4675i | 0.320929 | − | 0.555865i | −0.659751 | − | 0.751484i | \(-0.729338\pi\) |
0.980680 | + | 0.195619i | \(0.0626717\pi\) | |||||||
\(588\) | 18.8872 | + | 1.64857i | 0.778894 | + | 0.0679861i | ||||
\(589\) | 31.3995 | + | 54.3855i | 1.29379 | + | 2.24092i | ||||
\(590\) | −0.967202 | − | 0.436734i | −0.0398191 | − | 0.0179801i | ||||
\(591\) | −26.7951 | − | 28.1238i | −1.10220 | − | 1.15686i | ||||
\(592\) | −17.7037 | + | 7.44009i | −0.727616 | + | 0.305786i | ||||
\(593\) | − | 1.96941i | − | 0.0808741i | −0.999182 | − | 0.0404370i | \(-0.987125\pi\) | ||
0.999182 | − | 0.0404370i | \(-0.0128750\pi\) | |||||||
\(594\) | 8.15992 | − | 2.42343i | 0.334806 | − | 0.0994346i | ||||
\(595\) | 4.29125i | 0.175924i | ||||||||
\(596\) | 21.5249 | − | 18.9751i | 0.881695 | − | 0.777250i | ||||
\(597\) | −10.1508 | − | 10.6541i | −0.415443 | − | 0.436043i | ||||
\(598\) | 1.48025 | − | 3.27820i | 0.0605319 | − | 0.134055i | ||||
\(599\) | 5.60432 | + | 9.70697i | 0.228986 | + | 0.396616i | 0.957508 | − | 0.288407i | \(-0.0931255\pi\) |
−0.728522 | + | 0.685023i | \(0.759792\pi\) | |||||||
\(600\) | 11.5653 | + | 19.4702i | 0.472151 | + | 0.794869i | ||||
\(601\) | 10.6262 | − | 18.4052i | 0.433453 | − | 0.750762i | −0.563715 | − | 0.825969i | \(-0.690628\pi\) |
0.997168 | + | 0.0752072i | \(0.0239618\pi\) | |||||||
\(602\) | −3.01141 | − | 4.19101i | −0.122736 | − | 0.170813i | ||||
\(603\) | 15.7798 | + | 30.6671i | 0.642605 | + | 1.24886i | ||||
\(604\) | −31.9019 | − | 10.7378i | −1.29807 | − | 0.436913i | ||||
\(605\) | −5.13829 | − | 2.96659i | −0.208901 | − | 0.120609i | ||||
\(606\) | −16.0670 | + | 5.63062i | −0.652677 | + | 0.228728i | ||||
\(607\) | 6.30708 | − | 3.64139i | 0.255997 | − | 0.147800i | −0.366510 | − | 0.930414i | \(-0.619448\pi\) |
0.622507 | + | 0.782614i | \(0.286114\pi\) | |||||||
\(608\) | −20.7992 | − | 38.3175i | −0.843520 | − | 1.55398i | ||||
\(609\) | −1.39711 | − | 0.410817i | −0.0566136 | − | 0.0166472i | ||||
\(610\) | −0.451404 | − | 4.52350i | −0.0182768 | − | 0.183151i | ||||
\(611\) | −33.0897 | −1.33866 | ||||||||
\(612\) | −33.5337 | + | 5.08685i | −1.35552 | + | 0.205624i | ||||
\(613\) | 26.1843 | 1.05757 | 0.528787 | − | 0.848754i | \(-0.322647\pi\) | ||||
0.528787 | + | 0.848754i | \(0.322647\pi\) | |||||||
\(614\) | 2.42263 | + | 24.2771i | 0.0977696 | + | 0.979744i | ||||
\(615\) | −0.113842 | − | 0.470062i | −0.00459057 | − | 0.0189547i | ||||
\(616\) | 2.75620 | − | 2.96563i | 0.111051 | − | 0.119489i | ||||
\(617\) | 8.74246 | − | 5.04746i | 0.351958 | − | 0.203203i | −0.313589 | − | 0.949559i | \(-0.601531\pi\) |
0.665547 | + | 0.746356i | \(0.268198\pi\) | |||||||
\(618\) | 3.08872 | − | 16.3667i | 0.124247 | − | 0.658365i | ||||
\(619\) | −10.8288 | − | 6.25198i | −0.435244 | − | 0.251288i | 0.266334 | − | 0.963881i | \(-0.414188\pi\) |
−0.701578 | + | 0.712592i | \(0.747521\pi\) | |||||||
\(620\) | −3.19352 | + | 9.48795i | −0.128255 | + | 0.381045i | ||||
\(621\) | −1.70522 | + | 4.90838i | −0.0684281 | + | 0.196967i | ||||
\(622\) | 3.00075 | + | 4.17618i | 0.120319 | + | 0.167449i | ||||
\(623\) | −10.9374 | + | 18.9441i | −0.438197 | + | 0.758979i | ||||
\(624\) | −17.5110 | + | 1.96697i | −0.701002 | + | 0.0787417i | ||||
\(625\) | −9.74083 | − | 16.8716i | −0.389633 | − | 0.674864i | ||||
\(626\) | −2.32831 | + | 5.15634i | −0.0930582 | + | 0.206089i | ||||
\(627\) | 15.0289 | − | 3.63978i | 0.600195 | − | 0.145359i | ||||
\(628\) | 3.13880 | + | 3.56058i | 0.125252 | + | 0.142083i | ||||
\(629\) | 27.1388i | 1.08209i | ||||||||
\(630\) | −0.164456 | − | 3.21650i | −0.00655207 | − | 0.128148i | ||||
\(631\) | 2.50411i | 0.0996872i | 0.998757 | + | 0.0498436i | \(0.0158723\pi\) | ||||
−0.998757 | + | 0.0498436i | \(0.984128\pi\) | |||||||
\(632\) | 9.24762 | + | 2.11863i | 0.367851 | + | 0.0842748i | ||||
\(633\) | 0.629598 | − | 2.14114i | 0.0250243 | − | 0.0851025i | ||||
\(634\) | −21.8674 | − | 9.87409i | −0.868465 | − | 0.392150i | ||||
\(635\) | −5.69836 | − | 9.86984i | −0.226132 | − | 0.391673i | ||||
\(636\) | −20.2563 | − | 14.1775i | −0.803213 | − | 0.562175i | ||||
\(637\) | 6.95998 | − | 12.0550i | 0.275764 | − | 0.477638i | ||||
\(638\) | 0.905153 | − | 0.650388i | 0.0358353 | − | 0.0257491i | ||||
\(639\) | −1.78342 | + | 36.8361i | −0.0705511 | + | 1.45721i | ||||
\(640\) | 2.38951 | − | 6.52652i | 0.0944538 | − | 0.257983i | ||||
\(641\) | −1.78269 | − | 1.02923i | −0.0704119 | − | 0.0406523i | 0.464381 | − | 0.885636i | \(-0.346277\pi\) |
−0.534793 | + | 0.844983i | \(0.679610\pi\) | |||||||
\(642\) | −21.0396 | + | 24.4719i | −0.830369 | + | 0.965830i | ||||
\(643\) | −15.4801 | + | 8.93741i | −0.610474 | + | 0.352457i | −0.773151 | − | 0.634222i | \(-0.781320\pi\) |
0.162677 | + | 0.986679i | \(0.447987\pi\) | |||||||
\(644\) | 0.488393 | + | 2.42271i | 0.0192454 | + | 0.0954682i | ||||
\(645\) | 2.27493 | − | 2.16745i | 0.0895751 | − | 0.0853432i | ||||
\(646\) | −61.3100 | + | 6.11818i | −2.41221 | + | 0.240717i | ||||
\(647\) | −1.58845 | −0.0624483 | −0.0312242 | − | 0.999512i | \(-0.509941\pi\) | ||||
−0.0312242 | + | 0.999512i | \(0.509941\pi\) | |||||||
\(648\) | 24.9401 | − | 5.09796i | 0.979741 | − | 0.200267i | ||||
\(649\) | 1.41497 | 0.0555426 | ||||||||
\(650\) | 16.5449 | − | 1.65103i | 0.648945 | − | 0.0647588i | ||||
\(651\) | −12.6263 | + | 12.0298i | −0.494864 | + | 0.471485i | ||||
\(652\) | −5.75677 | − | 28.5569i | −0.225453 | − | 1.11838i | ||||
\(653\) | 10.8551 | − | 6.26720i | 0.424793 | − | 0.245254i | −0.272333 | − | 0.962203i | \(-0.587795\pi\) |
0.697126 | + | 0.716949i | \(0.254462\pi\) | |||||||
\(654\) | −1.37390 | + | 1.59803i | −0.0537238 | + | 0.0624880i | ||||
\(655\) | −1.20149 | − | 0.693678i | −0.0469460 | − | 0.0271043i | ||||
\(656\) | 1.09940 | − | 1.44815i | 0.0429245 | − | 0.0565406i | ||||
\(657\) | −1.98172 | + | 40.9319i | −0.0773143 | + | 1.59691i | ||||
\(658\) | 18.4639 | − | 13.2670i | 0.719797 | − | 0.517203i | ||||
\(659\) | 1.98565 | − | 3.43925i | 0.0773500 | − | 0.133974i | −0.824756 | − | 0.565489i | \(-0.808687\pi\) |
0.902106 | + | 0.431515i | \(0.142021\pi\) | |||||||
\(660\) | 2.01954 | + | 1.41349i | 0.0786106 | + | 0.0550201i | ||||
\(661\) | −16.3279 | − | 28.2807i | −0.635082 | − | 1.09999i | −0.986498 | − | 0.163774i | \(-0.947633\pi\) |
0.351416 | − | 0.936219i | \(-0.385700\pi\) | |||||||
\(662\) | −38.7189 | − | 17.4833i | −1.50485 | − | 0.679508i | ||||
\(663\) | −7.02516 | + | 23.8911i | −0.272834 | + | 0.927854i | ||||
\(664\) | 3.74636 | − | 16.3525i | 0.145387 | − | 0.634599i | ||||
\(665\) | − | 5.85075i | − | 0.226882i | ||||||
\(666\) | −1.04005 | − | 20.3418i | −0.0403012 | − | 0.788229i | ||||
\(667\) | 0.680385i | 0.0263446i | ||||||||
\(668\) | 6.35923 | + | 7.21378i | 0.246046 | + | 0.279109i | ||||
\(669\) | 28.2773 | − | 6.84835i | 1.09326 | − | 0.264772i | ||||
\(670\) | −4.11027 | + | 9.10270i | −0.158794 | + | 0.351668i | ||||
\(671\) | 3.03063 | + | 5.24921i | 0.116996 | + | 0.202644i | ||||
\(672\) | 8.98243 | − | 8.11846i | 0.346505 | − | 0.313176i | ||||
\(673\) | 24.9330 | − | 43.1852i | 0.961097 | − | 1.66467i | 0.241342 | − | 0.970440i | \(-0.422412\pi\) |
0.719755 | − | 0.694228i | \(-0.244254\pi\) | |||||||
\(674\) | −18.0000 | − | 25.0508i | −0.693334 | − | 0.964921i | ||||
\(675\) | −23.5910 | + | 4.51827i | −0.908019 | + | 0.173908i | ||||
\(676\) | 4.16689 | − | 12.3798i | 0.160265 | − | 0.476148i | ||||
\(677\) | 32.1591 | + | 18.5671i | 1.23597 | + | 0.713590i | 0.968269 | − | 0.249910i | \(-0.0804011\pi\) |
0.267706 | + | 0.963501i | \(0.413734\pi\) | |||||||
\(678\) | 8.13280 | − | 43.0945i | 0.312338 | − | 1.65503i | ||||
\(679\) | −6.03848 | + | 3.48632i | −0.231735 | + | 0.133793i | ||||
\(680\) | −7.19471 | − | 6.68663i | −0.275905 | − | 0.256421i | ||||
\(681\) | −4.19758 | − | 17.3320i | −0.160851 | − | 0.664165i | ||||
\(682\) | −1.32542 | − | 13.2820i | −0.0507529 | − | 0.508592i | ||||
\(683\) | −14.7789 | −0.565497 | −0.282749 | − | 0.959194i | \(-0.591246\pi\) | ||||
−0.282749 | + | 0.959194i | \(0.591246\pi\) | |||||||
\(684\) | 45.7203 | − | 6.93548i | 1.74816 | − | 0.265185i | ||||
\(685\) | −0.955851 | −0.0365212 | ||||||||
\(686\) | 2.16444 | + | 21.6898i | 0.0826388 | + | 0.828120i | ||||
\(687\) | 0.609550 | + | 0.179237i | 0.0232558 | + | 0.00683833i | ||||
\(688\) | 11.7190 | + | 1.48151i | 0.446784 | + | 0.0564821i | ||||
\(689\) | −15.7213 | + | 9.07667i | −0.598932 | + | 0.345794i | ||||
\(690\) | −1.42008 | + | 0.497663i | −0.0540617 | + | 0.0189457i | ||||
\(691\) | 37.4456 | + | 21.6192i | 1.42450 | + | 0.822434i | 0.996679 | − | 0.0814306i | \(-0.0259489\pi\) |
0.427819 | + | 0.903865i | \(0.359282\pi\) | |||||||
\(692\) | 14.5091 | + | 4.88357i | 0.551553 | + | 0.185645i | ||||
\(693\) | 1.96477 | + | 3.81841i | 0.0746355 | + | 0.145049i | ||||
\(694\) | 7.78093 | + | 10.8288i | 0.295360 | + | 0.411056i | ||||
\(695\) | −1.40570 | + | 2.43474i | −0.0533211 | + | 0.0923548i | ||||
\(696\) | 2.86575 | − | 1.70225i | 0.108626 | − | 0.0645237i | ||||
\(697\) | −1.28475 | − | 2.22526i | −0.0486635 | − | 0.0842876i | ||||
\(698\) | 4.71307 | − | 10.4377i | 0.178392 | − | 0.395072i | ||||
\(699\) | 3.42537 | + | 3.59522i | 0.129559 | + | 0.135984i | ||||
\(700\) | −8.57002 | + | 7.55482i | −0.323916 | + | 0.285545i | ||||
\(701\) | − | 21.4085i | − | 0.808586i | −0.914629 | − | 0.404293i | \(-0.867518\pi\) | ||
0.914629 | − | 0.404293i | \(-0.132482\pi\) | |||||||
\(702\) | 4.35010 | − | 18.1768i | 0.164184 | − | 0.686038i | ||||
\(703\) | − | 37.0014i | − | 1.39553i | ||||||
\(704\) | 0.677463 | + | 9.24210i | 0.0255328 | + | 0.348325i | ||||
\(705\) | 9.54890 | + | 10.0224i | 0.359632 | + | 0.377465i | ||||
\(706\) | −1.17247 | − | 0.529421i | −0.0441265 | − | 0.0199250i | ||||
\(707\) | −4.29442 | − | 7.43815i | −0.161508 | − | 0.279740i | ||||
\(708\) | 4.21547 | + | 0.367950i | 0.158427 | + | 0.0138284i | ||||
\(709\) | −19.7463 | + | 34.2016i | −0.741588 | + | 1.28447i | 0.210184 | + | 0.977662i | \(0.432594\pi\) |
−0.951772 | + | 0.306806i | \(0.900740\pi\) | |||||||
\(710\) | −8.67311 | + | 6.23197i | −0.325496 | + | 0.233882i | ||||
\(711\) | −5.44689 | + | 8.46105i | −0.204274 | + | 0.317314i | ||||
\(712\) | −14.7190 | − | 47.8563i | −0.551619 | − | 1.79349i | ||||
\(713\) | 7.05643 | + | 4.07403i | 0.264265 | + | 0.152574i | ||||
\(714\) | −5.65894 | − | 16.1478i | −0.211781 | − | 0.604317i | ||||
\(715\) | 1.56740 | − | 0.904940i | 0.0586175 | − | 0.0338429i | ||||
\(716\) | 40.1624 | − | 8.09631i | 1.50094 | − | 0.302573i | ||||
\(717\) | −31.9040 | − | 9.38133i | −1.19148 | − | 0.350352i | ||||
\(718\) | −29.8827 | + | 2.98202i | −1.11521 | + | 0.111288i | ||||
\(719\) | −12.9949 | −0.484627 | −0.242314 | − | 0.970198i | \(-0.577906\pi\) | ||||
−0.242314 | + | 0.970198i | \(0.577906\pi\) | |||||||
\(720\) | 5.64903 | + | 4.73622i | 0.210527 | + | 0.176509i | ||||
\(721\) | 8.40245 | 0.312924 | ||||||||
\(722\) | 56.8537 | − | 5.67348i | 2.11588 | − | 0.211145i | ||||
\(723\) | 7.90883 | + | 32.6560i | 0.294133 | + | 1.21449i | ||||
\(724\) | 21.6561 | − | 4.36564i | 0.804844 | − | 0.162248i | ||||
\(725\) | −2.72379 | + | 1.57258i | −0.101159 | + | 0.0584041i | ||||
\(726\) | 23.2473 | + | 4.38723i | 0.862788 | + | 0.162826i | ||||
\(727\) | 0.518910 | + | 0.299593i | 0.0192453 | + | 0.0111113i | 0.509592 | − | 0.860416i | \(-0.329796\pi\) |
−0.490346 | + | 0.871528i | \(0.663130\pi\) | |||||||
\(728\) | −2.61332 | − | 8.49675i | −0.0968563 | − | 0.314911i | ||||
\(729\) | −3.90482 | + | 26.7161i | −0.144623 | + | 0.989487i | ||||
\(730\) | −9.63749 | + | 6.92491i | −0.356699 | + | 0.256303i | ||||
\(731\) | 8.34670 | − | 14.4569i | 0.308714 | − | 0.534708i | ||||
\(732\) | 7.66383 | + | 16.4265i | 0.283263 | + | 0.607141i | ||||
\(733\) | −21.2333 | − | 36.7771i | −0.784270 | − | 1.35839i | −0.929434 | − | 0.368987i | \(-0.879705\pi\) |
0.145165 | − | 0.989408i | \(-0.453629\pi\) | |||||||
\(734\) | 40.8413 | + | 18.4417i | 1.50748 | + | 0.680694i | ||||
\(735\) | −5.65978 | + | 1.37072i | −0.208764 | + | 0.0505598i | ||||
\(736\) | −4.82293 | − | 2.95623i | −0.177776 | − | 0.108968i | ||||
\(737\) | − | 13.3168i | − | 0.490532i | ||||||
\(738\) | 1.04826 | + | 1.61870i | 0.0385871 | + | 0.0595852i | ||||
\(739\) | − | 13.8092i | − | 0.507981i | −0.967207 | − | 0.253990i | \(-0.918257\pi\) | ||
0.967207 | − | 0.253990i | \(-0.0817432\pi\) | |||||||
\(740\) | 4.42471 | − | 3.90056i | 0.162656 | − | 0.143387i | ||||
\(741\) | 9.57820 | − | 32.5735i | 0.351864 | − | 1.19662i | ||||
\(742\) | 5.13317 | − | 11.3681i | 0.188445 | − | 0.417334i | ||||
\(743\) | −11.5510 | − | 20.0069i | −0.423765 | − | 0.733983i | 0.572539 | − | 0.819877i | \(-0.305958\pi\) |
−0.996304 | + | 0.0858946i | \(0.972625\pi\) | |||||||
\(744\) | −0.494834 | − | 39.9141i | −0.0181415 | − | 1.46332i | ||||
\(745\) | −4.40688 | + | 7.63294i | −0.161456 | + | 0.279649i | ||||
\(746\) | −29.1408 | − | 40.5556i | −1.06692 | − | 1.48485i | ||||
\(747\) | 14.9616 | + | 9.63167i | 0.547416 | + | 0.352404i | ||||
\(748\) | 12.4120 | + | 4.17770i | 0.453826 | + | 0.152752i | ||||
\(749\) | −14.0999 | − | 8.14056i | −0.515198 | − | 0.297450i | ||||
\(750\) | −10.9797 | − | 9.43976i | −0.400922 | − | 0.344691i | ||||
\(751\) | 10.5707 | − | 6.10301i | 0.385731 | − | 0.222702i | −0.294578 | − | 0.955628i | \(-0.595179\pi\) |
0.680309 | + | 0.732925i | \(0.261846\pi\) | |||||||
\(752\) | −6.52694 | + | 51.6292i | −0.238013 | + | 1.88272i | ||||
\(753\) | 8.84675 | − | 8.42880i | 0.322394 | − | 0.307162i | ||||
\(754\) | −0.243009 | − | 2.43518i | −0.00884988 | − | 0.0886842i | ||||
\(755\) | 10.3391 | 0.376279 | ||||||||
\(756\) | 4.86049 | + | 11.8867i | 0.176774 | + | 0.432315i | ||||
\(757\) | 24.8777 | 0.904196 | 0.452098 | − | 0.891968i | \(-0.350676\pi\) | ||||
0.452098 | + | 0.891968i | \(0.350676\pi\) | |||||||
\(758\) | −2.89871 | − | 29.0478i | −0.105286 | − | 1.05506i | ||||
\(759\) | 1.45260 | − | 1.38397i | 0.0527259 | − | 0.0502349i | ||||
\(760\) | 9.80937 | + | 9.11665i | 0.355823 | + | 0.330696i | ||||
\(761\) | 11.9099 | − | 6.87619i | 0.431734 | − | 0.249262i | −0.268351 | − | 0.963321i | \(-0.586479\pi\) |
0.700085 | + | 0.714059i | \(0.253145\pi\) | |||||||
\(762\) | 34.4582 | + | 29.6253i | 1.24829 | + | 1.07321i | ||||
\(763\) | −0.920730 | − | 0.531584i | −0.0333327 | − | 0.0192446i | ||||
\(764\) | 4.64230 | − | 13.7923i | 0.167953 | − | 0.498988i | ||||
\(765\) | 9.26358 | − | 4.76659i | 0.334925 | − | 0.172337i | ||||
\(766\) | 22.1174 | + | 30.7811i | 0.799136 | + | 1.11217i | ||||
\(767\) | 1.55342 | − | 2.69059i | 0.0560906 | − | 0.0971517i | ||||
\(768\) | −0.385025 | + | 27.7101i | −0.0138934 | + | 0.999903i | ||||
\(769\) | 6.25675 | + | 10.8370i | 0.225624 | + | 0.390793i | 0.956507 | − | 0.291711i | \(-0.0942245\pi\) |
−0.730882 | + | 0.682504i | \(0.760891\pi\) | |||||||
\(770\) | −0.511775 | + | 1.13339i | −0.0184431 | + | 0.0408445i | ||||
\(771\) | −9.87571 | + | 33.5853i | −0.355665 | + | 1.20954i | ||||
\(772\) | 14.2831 | + | 16.2025i | 0.514060 | + | 0.583139i | ||||
\(773\) | − | 21.4529i | − | 0.771607i | −0.922581 | − | 0.385803i | \(-0.873924\pi\) | ||
0.922581 | − | 0.385803i | \(-0.126076\pi\) | |||||||
\(774\) | −5.70221 | + | 11.1560i | −0.204962 | + | 0.400995i | ||||
\(775\) | 37.6654i | 1.35298i | ||||||||
\(776\) | 3.56400 | − | 15.5565i | 0.127940 | − | 0.558446i | ||||
\(777\) | 9.98678 | − | 2.41866i | 0.358274 | − | 0.0867689i | ||||
\(778\) | 50.6394 | + | 22.8659i | 1.81551 | + | 0.819782i | ||||
\(779\) | 1.75165 | + | 3.03395i | 0.0627594 | + | 0.108702i | ||||
\(780\) | 4.90491 | − | 2.28840i | 0.175624 | − | 0.0819379i | ||||
\(781\) | 7.11991 | − | 12.3321i | 0.254771 | − | 0.441275i | ||||
\(782\) | −6.49221 | + | 4.66491i | −0.232161 | + | 0.166817i | ||||
\(783\) | 0.665027 | + | 3.47227i | 0.0237661 | + | 0.124089i | ||||
\(784\) | −17.4364 | − | 13.2374i | −0.622729 | − | 0.472764i | ||||
\(785\) | −1.26262 | − | 0.728972i | −0.0450647 | − | 0.0260181i | ||||
\(786\) | 5.43591 | + | 1.02587i | 0.193893 | + | 0.0365914i | ||||
\(787\) | 22.2862 | − | 12.8670i | 0.794418 | − | 0.458657i | −0.0470977 | − | 0.998890i | \(-0.514997\pi\) |
0.841516 | + | 0.540233i | \(0.181664\pi\) | |||||||
\(788\) | 8.86383 | + | 43.9697i | 0.315761 | + | 1.56636i | ||||
\(789\) | −9.20550 | − | 38.0101i | −0.327724 | − | 1.35319i | ||||
\(790\) | −2.89967 | + | 0.289361i | −0.103166 | + | 0.0102950i | ||||
\(791\) | 22.1242 | 0.786645 | ||||||||
\(792\) | −9.46345 | − | 2.65571i | −0.336269 | − | 0.0943667i | ||||
\(793\) | 13.3086 | 0.472603 | ||||||||
\(794\) | 40.2724 | − | 4.01882i | 1.42921 | − | 0.142623i | ||||
\(795\) | 7.28598 | + | 2.14243i | 0.258407 | + | 0.0759843i | ||||
\(796\) | 3.35787 | + | 16.6570i | 0.119016 | + | 0.590391i | ||||
\(797\) | 7.11282 | − | 4.10659i | 0.251949 | − | 0.145463i | −0.368707 | − | 0.929546i | \(-0.620200\pi\) |
0.620656 | + | 0.784083i | \(0.286866\pi\) | |||||||
\(798\) | 7.71548 | + | 22.0162i | 0.273125 | + | 0.779364i | ||||
\(799\) | 63.6912 | + | 36.7721i | 2.25323 | + | 1.30090i | ||||
\(800\) | 0.687407 | − | 26.1404i | 0.0243035 | − | 0.924204i | ||||
\(801\) | 53.0438 | + | 2.56812i | 1.87421 | + | 0.0907400i | ||||
\(802\) | −20.4793 | + | 14.7152i | −0.723149 | + | 0.519611i | ||||
\(803\) | 7.91158 | − | 13.7033i | 0.279194 | − | 0.483578i | ||||
\(804\) | 3.46291 | − | 39.6734i | 0.122127 | − | 1.39917i | ||||
\(805\) | −0.379563 | − | 0.657422i | −0.0133778 | − | 0.0231711i | ||||
\(806\) | −26.7110 | − | 12.0612i | −0.940853 | − | 0.424837i | ||||
\(807\) | 1.56926 | + | 1.64707i | 0.0552405 | + | 0.0579797i | ||||
\(808\) | 19.1624 | + | 4.39011i | 0.674130 | + | 0.154443i | ||||
\(809\) | 43.7072i | 1.53666i | 0.640053 | + | 0.768331i | \(0.278912\pi\) | ||||
−0.640053 | + | 0.768331i | \(0.721088\pi\) | |||||||
\(810\) | −6.76082 | + | 3.92780i | −0.237551 | + | 0.138009i | ||||
\(811\) | 5.96976i | 0.209627i | 0.994492 | + | 0.104813i | \(0.0334245\pi\) | ||||
−0.994492 | + | 0.104813i | \(0.966575\pi\) | |||||||
\(812\) | 1.11196 | + | 1.26139i | 0.0390223 | + | 0.0442661i | ||||
\(813\) | 1.92044 | + | 2.01567i | 0.0673528 | + | 0.0706926i | ||||
\(814\) | −3.23658 | + | 7.16780i | −0.113442 | + | 0.251231i | ||||
\(815\) | 4.47398 | + | 7.74915i | 0.156717 | + | 0.271441i | ||||
\(816\) | 35.8912 | + | 15.6738i | 1.25644 | + | 0.548691i | ||||
\(817\) | −11.3800 | + | 19.7107i | −0.398136 | + | 0.689592i | ||||
\(818\) | −10.7786 | − | 15.0007i | −0.376866 | − | 0.524488i | ||||
\(819\) | 9.41777 | + | 0.455962i | 0.329084 | + | 0.0159326i | ||||
\(820\) | −0.178153 | + | 0.529294i | −0.00622138 | + | 0.0184838i | ||||
\(821\) | −39.3264 | − | 22.7051i | −1.37250 | − | 0.792413i | −0.381257 | − | 0.924469i | \(-0.624509\pi\) |
−0.991242 | + | 0.132056i | \(0.957842\pi\) | |||||||
\(822\) | 3.59683 | − | 1.26050i | 0.125454 | − | 0.0439649i | ||||
\(823\) | 2.15227 | − | 1.24262i | 0.0750235 | − | 0.0433149i | −0.462019 | − | 0.886870i | \(-0.652875\pi\) |
0.537043 | + | 0.843555i | \(0.319541\pi\) | |||||||
\(824\) | −13.0927 | + | 14.0876i | −0.456106 | + | 0.490763i | ||||
\(825\) | 8.89785 | + | 2.61640i | 0.309783 | + | 0.0910914i | ||||
\(826\) | 0.211973 | + | 2.12417i | 0.00737547 | + | 0.0739093i | ||||
\(827\) | 27.4835 | 0.955696 | 0.477848 | − | 0.878443i | \(-0.341417\pi\) | ||||
0.477848 | + | 0.878443i | \(0.341417\pi\) | |||||||
\(828\) | 4.68745 | − | 3.74538i | 0.162900 | − | 0.130161i | ||||
\(829\) | 1.06711 | 0.0370621 | 0.0185311 | − | 0.999828i | \(-0.494101\pi\) | ||||
0.0185311 | + | 0.999828i | \(0.494101\pi\) | |||||||
\(830\) | 0.511673 | + | 5.12746i | 0.0177604 | + | 0.177977i | ||||
\(831\) | −2.51765 | − | 10.3955i | −0.0873365 | − | 0.360618i | ||||
\(832\) | 18.3177 | + | 8.85815i | 0.635054 | + | 0.307101i | ||||
\(833\) | −26.7932 | + | 15.4691i | −0.928330 | + | 0.535972i | ||||
\(834\) | 2.07885 | − | 11.0155i | 0.0719848 | − | 0.381437i | ||||
\(835\) | −2.55807 | − | 1.47690i | −0.0885258 | − | 0.0511104i | ||||
\(836\) | −16.9226 | − | 5.69593i | −0.585282 | − | 0.196998i | ||||
\(837\) | 39.9938 | + | 13.8942i | 1.38239 | + | 0.480255i | ||||
\(838\) | −7.89534 | − | 10.9880i | −0.272740 | − | 0.379575i | ||||
\(839\) | −12.1992 | + | 21.1296i | −0.421163 | + | 0.729476i | −0.996054 | − | 0.0887544i | \(-0.971711\pi\) |
0.574890 | + | 0.818230i | \(0.305045\pi\) | |||||||
\(840\) | −1.81940 | + | 3.24350i | −0.0627753 | + | 0.111911i | ||||
\(841\) | −14.2685 | − | 24.7138i | −0.492019 | − | 0.852201i | ||||
\(842\) | 22.1752 | − | 49.1097i | 0.764208 | − | 1.69243i | ||||
\(843\) | −17.9068 | + | 4.33677i | −0.616742 | + | 0.149366i | ||||
\(844\) | −1.93314 | + | 1.70414i | −0.0665415 | + | 0.0586590i | ||||
\(845\) | 4.01219i | 0.138024i | ||||||||
\(846\) | −49.1488 | − | 25.1216i | −1.68977 | − | 0.863698i | ||||
\(847\) | 11.9349i | 0.410087i | ||||||||
\(848\) | 11.0612 | + | 26.3200i | 0.379842 | + | 0.903832i | ||||
\(849\) | 0.189356 | − | 0.643961i | 0.00649868 | − | 0.0221007i | ||||
\(850\) | −33.6805 | − | 15.2082i | −1.15523 | − | 0.521639i | ||||
\(851\) | −2.40044 | − | 4.15768i | −0.0822859 | − | 0.142523i | ||||
\(852\) | 24.4184 | − | 34.8881i | 0.836561 | − | 1.19525i | ||||
\(853\) | −7.09016 | + | 12.2805i | −0.242762 | + | 0.420477i | −0.961500 | − | 0.274805i | \(-0.911387\pi\) |
0.718738 | + | 0.695281i | \(0.244720\pi\) | |||||||
\(854\) | −7.42615 | + | 5.33598i | −0.254118 | + | 0.182593i | ||||
\(855\) | −12.6301 | + | 6.49884i | −0.431940 | + | 0.222256i | ||||
\(856\) | 35.6189 | − | 10.9552i | 1.21743 | − | 0.374441i | ||||
\(857\) | 18.9876 | + | 10.9625i | 0.648604 | + | 0.374471i | 0.787921 | − | 0.615776i | \(-0.211157\pi\) |
−0.139317 | + | 0.990248i | \(0.544491\pi\) | |||||||
\(858\) | −4.70472 | + | 5.47222i | −0.160616 | + | 0.186818i | ||||
\(859\) | −43.3062 | + | 25.0028i | −1.47759 | + | 0.853085i | −0.999679 | − | 0.0253249i | \(-0.991938\pi\) |
−0.477908 | + | 0.878410i | \(0.658605\pi\) | |||||||
\(860\) | −3.55670 | + | 0.716992i | −0.121282 | + | 0.0244492i | ||||
\(861\) | −0.704371 | + | 0.671094i | −0.0240049 | + | 0.0228708i | ||||
\(862\) | 20.5190 | − | 2.04761i | 0.698879 | − | 0.0697418i | ||||
\(863\) | −5.24350 | −0.178491 | −0.0892454 | − | 0.996010i | \(-0.528446\pi\) | ||||
−0.0892454 | + | 0.996010i | \(0.528446\pi\) | |||||||
\(864\) | −27.5028 | − | 10.3727i | −0.935666 | − | 0.352888i | ||||
\(865\) | −4.70226 | −0.159882 | ||||||||
\(866\) | −24.7761 | + | 2.47243i | −0.841926 | + | 0.0840165i | ||||
\(867\) | 18.7538 | − | 17.8678i | 0.636913 | − | 0.606823i | ||||
\(868\) | 19.7404 | − | 3.97946i | 0.670033 | − | 0.135072i | ||||
\(869\) | 3.36487 | − | 1.94271i | 0.114145 | − | 0.0659019i | ||||
\(870\) | −0.667456 | + | 0.776341i | −0.0226289 | + | 0.0263204i | ||||
\(871\) | −25.3222 | − | 14.6198i | −0.858009 | − | 0.495372i | ||||
\(872\) | 2.32594 | − | 0.715382i | 0.0787661 | − | 0.0242259i | ||||
\(873\) | 14.2333 | + | 9.16284i | 0.481725 | + | 0.310115i | ||||
\(874\) | 8.85158 | − | 6.36021i | 0.299409 | − | 0.215137i | ||||
\(875\) | 3.65239 | − | 6.32612i | 0.123473 | − | 0.213862i | ||||
\(876\) | 27.1335 | − | 38.7673i | 0.916756 | − | 1.30983i | ||||
\(877\) | 12.2048 | + | 21.1393i | 0.412125 | + | 0.713822i | 0.995122 | − | 0.0986527i | \(-0.0314533\pi\) |
−0.582997 | + | 0.812475i | \(0.698120\pi\) | |||||||
\(878\) | 13.6784 | + | 6.17639i | 0.461623 | + | 0.208443i | ||||
\(879\) | 0.0518248 | − | 0.176246i | 0.00174801 | − | 0.00594461i | ||||
\(880\) | −1.10279 | − | 2.62409i | −0.0371751 | − | 0.0884581i | ||||
\(881\) | − | 38.0073i | − | 1.28050i | −0.768167 | − | 0.640249i | \(-0.778831\pi\) | ||
0.768167 | − | 0.640249i | \(-0.221169\pi\) | |||||||
\(882\) | 19.4900 | − | 12.6216i | 0.656261 | − | 0.424992i | ||||
\(883\) | 50.7254i | 1.70705i | 0.521055 | + | 0.853523i | \(0.325539\pi\) | ||||
−0.521055 | + | 0.853523i | \(0.674461\pi\) | |||||||
\(884\) | 21.5703 | − | 19.0151i | 0.725488 | − | 0.639546i | ||||
\(885\) | −1.26322 | + | 0.305934i | −0.0424627 | + | 0.0102839i | ||||
\(886\) | 10.1390 | − | 22.4541i | 0.340626 | − | 0.754360i | ||||
\(887\) | −11.3444 | − | 19.6490i | −0.380906 | − | 0.659749i | 0.610286 | − | 0.792181i | \(-0.291055\pi\) |
−0.991192 | + | 0.132432i | \(0.957721\pi\) | |||||||
\(888\) | −11.5063 | + | 20.5126i | −0.386126 | + | 0.688358i | ||||
\(889\) | −11.4625 | + | 19.8536i | −0.384440 | + | 0.665869i | ||||
\(890\) | 8.97401 | + | 12.4892i | 0.300810 | + | 0.418640i | ||||
\(891\) | 6.06044 | − | 8.48275i | 0.203032 | − | 0.284183i | ||||
\(892\) | −31.8405 | − | 10.7171i | −1.06610 | − | 0.358834i | ||||
\(893\) | −86.8375 | − | 50.1357i | −2.90591 | − | 1.67773i | ||||
\(894\) | 6.51724 | − | 34.5339i | 0.217969 | − | 1.15499i | ||||
\(895\) | −10.8984 | + | 6.29219i | −0.364293 | + | 0.210325i | ||||
\(896\) | −13.7728 | + | 2.40154i | −0.460118 | + | 0.0802299i | ||||
\(897\) | −1.03692 | − | 4.28151i | −0.0346218 | − | 0.142956i | ||||
\(898\) | −2.48388 | − | 24.8909i | −0.0828882 | − | 0.830619i | ||||
\(899\) | 5.54382 | 0.184897 | ||||||||
\(900\) | 25.8280 | + | 10.1086i | 0.860934 | + | 0.336952i | ||||
\(901\) | 40.3472 | 1.34416 | ||||||||
\(902\) | −0.0739398 | − | 0.740947i | −0.00246192 | − | 0.0246708i | ||||
\(903\) | −6.06386 | − | 1.78307i | −0.201793 | − | 0.0593368i | ||||
\(904\) | −34.4739 | + | 37.0934i | −1.14659 | + | 1.23371i | ||||
\(905\) | −5.87656 | + | 3.39284i | −0.195344 | + | 0.112782i | ||||
\(906\) | −38.9057 | + | 13.6344i | −1.29255 | + | 0.452971i | ||||
\(907\) | 42.5525 | + | 24.5677i | 1.41293 | + | 0.815758i | 0.995664 | − | 0.0930249i | \(-0.0296536\pi\) |
0.417270 | + | 0.908783i | \(0.362987\pi\) | |||||||
\(908\) | −6.56884 | + | 19.5161i | −0.217995 | + | 0.647663i | ||||
\(909\) | −11.2867 | + | 17.5325i | −0.374357 | + | 0.581516i | ||||
\(910\) | 1.59331 | + | 2.21743i | 0.0528177 | + | 0.0735071i | ||||
\(911\) | −4.44982 | + | 7.70731i | −0.147429 | + | 0.255355i | −0.930277 | − | 0.366859i | \(-0.880433\pi\) |
0.782847 | + | 0.622214i | \(0.213766\pi\) | |||||||
\(912\) | −48.9346 | − | 21.3698i | −1.62039 | − | 0.707626i | ||||
\(913\) | −3.43527 | − | 5.95006i | −0.113691 | − | 0.196918i | ||||
\(914\) | −19.7279 | + | 43.6899i | −0.652541 | + | 1.44513i | ||||
\(915\) | −3.84055 | − | 4.03099i | −0.126965 | − | 0.133260i | ||||
\(916\) | −0.485144 | − | 0.550337i | −0.0160296 | − | 0.0181837i | ||||
\(917\) | 2.79073i | 0.0921580i | ||||||||
\(918\) | −28.5727 | + | 30.1525i | −0.943040 | + | 0.995182i | ||||
\(919\) | 34.5061i | 1.13825i | 0.822250 | + | 0.569126i | \(0.192718\pi\) | ||||
−0.822250 | + | 0.569126i | \(0.807282\pi\) | |||||||
\(920\) | 1.69367 | + | 0.388021i | 0.0558386 | + | 0.0127927i | ||||
\(921\) | 20.6118 | + | 21.6339i | 0.679182 | + | 0.712860i | ||||
\(922\) | 24.0840 | + | 10.8750i | 0.793166 | + | 0.358149i | ||||
\(923\) | −15.6331 | − | 27.0773i | −0.514568 | − | 0.891259i | ||||
\(924\) | 0.431172 | − | 4.93979i | 0.0141845 | − | 0.162507i | ||||
\(925\) | 11.0963 | − | 19.2194i | 0.364844 | − | 0.631928i | ||||
\(926\) | 6.23691 | − | 4.48147i | 0.204958 | − | 0.147270i | ||||
\(927\) | −9.33319 | − | 18.1385i | −0.306542 | − | 0.595746i | ||||
\(928\) | −3.84751 | − | 0.101177i | −0.126301 | − | 0.00332129i | ||||
\(929\) | −12.8251 | − | 7.40460i | −0.420779 | − | 0.242937i | 0.274631 | − | 0.961550i | \(-0.411444\pi\) |
−0.695411 | + | 0.718612i | \(0.744778\pi\) | |||||||
\(930\) | 4.05499 | + | 11.5709i | 0.132968 | + | 0.379426i | ||||
\(931\) | 36.5303 | − | 21.0908i | 1.19723 | − | 0.691222i | ||||
\(932\) | −1.13311 | − | 5.62090i | −0.0371163 | − | 0.184119i | ||||
\(933\) | 6.04240 | + | 1.77676i | 0.197819 | + | 0.0581685i | ||||
\(934\) | −47.7168 | + | 4.76170i | −1.56134 | + | 0.155808i | ||||
\(935\) | −4.02260 | −0.131553 | ||||||||
\(936\) | −15.4392 | + | 15.0794i | −0.504648 | + | 0.492884i | ||||
\(937\) | 10.2099 | 0.333544 | 0.166772 | − | 0.985995i | \(-0.446666\pi\) | ||||
0.166772 | + | 0.985995i | \(0.446666\pi\) | |||||||
\(938\) | 19.9913 | − | 1.99495i | 0.652740 | − | 0.0651375i | ||||
\(939\) | 1.63100 | + | 6.73448i | 0.0532255 | + | 0.219771i | ||||
\(940\) | −3.15877 | − | 15.6693i | −0.103028 | − | 0.511078i | ||||
\(941\) | −24.5910 | + | 14.1976i | −0.801643 | + | 0.462829i | −0.844045 | − | 0.536272i | \(-0.819832\pi\) |
0.0424023 | + | 0.999101i | \(0.486499\pi\) | |||||||
\(942\) | 5.71248 | + | 1.07806i | 0.186123 | + | 0.0351251i | ||||
\(943\) | 0.393650 | + | 0.227274i | 0.0128190 | + | 0.00740105i | ||||
\(944\) | −3.89168 | − | 2.95449i | −0.126663 | − | 0.0961604i | ||||
\(945\) | −2.57964 | − | 2.98409i | −0.0839158 | − | 0.0970724i | ||||
\(946\) | 3.92863 | − | 2.82288i | 0.127731 | − | 0.0917796i | ||||
\(947\) | −27.6267 | + | 47.8508i | −0.897747 | + | 1.55494i | −0.0673795 | + | 0.997727i | \(0.521464\pi\) |
−0.830368 | + | 0.557216i | \(0.811870\pi\) | |||||||
\(948\) | 10.5298 | − | 4.91270i | 0.341991 | − | 0.159557i | ||||
\(949\) | −17.3713 | − | 30.0880i | −0.563897 | − | 0.976698i | ||||
\(950\) | 45.9205 | + | 20.7351i | 1.48986 | + | 0.672737i | ||||
\(951\) | −28.5601 | + | 6.91685i | −0.926124 | + | 0.224294i | ||||
\(952\) | −4.41219 | + | 19.2588i | −0.143000 | + | 0.624180i | ||||
\(953\) | 25.4714i | 0.825099i | 0.910935 | + | 0.412549i | \(0.135362\pi\) | ||||
−0.910935 | + | 0.412549i | \(0.864638\pi\) | |||||||
\(954\) | −30.2421 | + | 1.54624i | −0.979125 | + | 0.0500615i | ||||
\(955\) | 4.46995i | 0.144644i | ||||||||
\(956\) | 25.3926 | + | 28.8048i | 0.821254 | + | 0.931613i | ||||
\(957\) | 0.385098 | − | 1.30964i | 0.0124485 | − | 0.0423347i | ||||
\(958\) | −5.37936 | + | 11.9133i | −0.173799 | + | 0.384900i | ||||
\(959\) | 0.961369 | + | 1.66514i | 0.0310442 | + | 0.0537701i | ||||
\(960\) | −2.60306 | − | 8.10444i | −0.0840134 | − | 0.261570i | ||||
\(961\) | 17.6955 | − | 30.6495i | 0.570822 | − | 0.988693i | ||||
\(962\) | 10.0764 | + | 14.0235i | 0.324878 | + | 0.452136i | ||||
\(963\) | −1.91142 | + | 39.4799i | −0.0615947 | + | 1.27222i | ||||
\(964\) | 12.3766 | − | 36.7710i | 0.398624 | − | 1.18431i | ||||
\(965\) | −5.74554 | − | 3.31719i | −0.184956 | − | 0.106784i | ||||
\(966\) | 2.29523 | + | 1.97332i | 0.0738480 | + | 0.0634905i | ||||
\(967\) | −26.4952 | + | 15.2970i | −0.852029 | + | 0.491919i | −0.861335 | − | 0.508038i | \(-0.830371\pi\) |
0.00930620 | + | 0.999957i | \(0.497038\pi\) | |||||||
\(968\) | −20.0100 | − | 18.5969i | −0.643146 | − | 0.597728i | ||||
\(969\) | −54.6347 | + | 52.0536i | −1.75512 | + | 1.67220i | ||||
\(970\) | 0.486767 | + | 4.87787i | 0.0156292 | + | 0.156619i | ||||
\(971\) | 16.7422 | 0.537283 | 0.268642 | − | 0.963240i | \(-0.413425\pi\) | ||||
0.268642 | + | 0.963240i | \(0.413425\pi\) | |||||||
\(972\) | 20.2611 | − | 23.6958i | 0.649874 | − | 0.760042i | ||||
\(973\) | 5.65524 | 0.181299 | ||||||||
\(974\) | 5.08471 | + | 50.9536i | 0.162925 | + | 1.63266i | ||||
\(975\) | 14.7435 | − | 14.0470i | 0.472171 | − | 0.449864i | ||||
\(976\) | 2.62512 | − | 20.7652i | 0.0840282 | − | 0.664678i | ||||
\(977\) | 37.7214 | − | 21.7785i | 1.20681 | − | 0.696754i | 0.244752 | − | 0.969586i | \(-0.421293\pi\) |
0.962062 | + | 0.272831i | \(0.0879601\pi\) | |||||||
\(978\) | −27.0543 | − | 23.2599i | −0.865102 | − | 0.743769i | ||||
\(979\) | −17.7581 | − | 10.2526i | −0.567551 | − | 0.327676i | ||||
\(980\) | 6.37297 | + | 2.14506i | 0.203577 | + | 0.0685213i | ||||
\(981\) | −0.124817 | + | 2.57806i | −0.00398510 | + | 0.0823111i | ||||
\(982\) | −3.34491 | − | 4.65515i | −0.106740 | − | 0.148552i | ||||
\(983\) | −14.4268 | + | 24.9880i | −0.460144 | + | 0.796993i | −0.998968 | − | 0.0454259i | \(-0.985535\pi\) |
0.538824 | + | 0.842418i | \(0.318869\pi\) | |||||||
\(984\) | −0.0276048 | − | 2.22665i | −0.000880009 | − | 0.0709830i | ||||
\(985\) | −6.88868 | − | 11.9315i | −0.219491 | − | 0.380170i | ||||
\(986\) | −2.23844 | + | 4.95731i | −0.0712866 | + | 0.157873i | ||||
\(987\) | 7.85548 | − | 26.7149i | 0.250043 | − | 0.850344i | ||||
\(988\) | −29.4093 | + | 25.9254i | −0.935633 | + | 0.824798i | ||||
\(989\) | 2.95308i | 0.0939023i | ||||||||
\(990\) | 3.01513 | − | 0.154160i | 0.0958270 | − | 0.00489952i | ||||
\(991\) | − | 30.4371i | − | 0.966866i | −0.875381 | − | 0.483433i | \(-0.839390\pi\) | ||
0.875381 | − | 0.483433i | \(-0.160610\pi\) | |||||||
\(992\) | −24.0876 | + | 39.2976i | −0.764781 | + | 1.24770i | ||||
\(993\) | −50.5692 | + | 12.2471i | −1.60476 | + | 0.388651i | ||||
\(994\) | 19.5796 | + | 8.84104i | 0.621026 | + | 0.280421i | ||||
\(995\) | −2.60962 | − | 4.52000i | −0.0827307 | − | 0.143294i | ||||
\(996\) | −8.68707 | − | 18.6197i | −0.275260 | − | 0.589987i | ||||
\(997\) | 21.6718 | − | 37.5367i | 0.686354 | − | 1.18880i | −0.286655 | − | 0.958034i | \(-0.592543\pi\) |
0.973009 | − | 0.230766i | \(-0.0741232\pi\) | |||||||
\(998\) | −7.68429 | + | 5.52146i | −0.243242 | + | 0.174779i | ||||
\(999\) | −16.3142 | − | 18.8720i | −0.516159 | − | 0.597084i |
(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 | 828.2.o.a.47.2 | ✓ | 132 | |
4.3 | odd | 2 | 828.2.o.b.47.25 | yes | 132 | ||
9.5 | odd | 6 | 828.2.o.b.599.25 | yes | 132 | ||
36.23 | even | 6 | inner | 828.2.o.a.599.2 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
828.2.o.a.47.2 | ✓ | 132 | 1.1 | even | 1 | trivial | |
828.2.o.a.599.2 | yes | 132 | 36.23 | even | 6 | inner | |
828.2.o.b.47.25 | yes | 132 | 4.3 | odd | 2 | ||
828.2.o.b.599.25 | yes | 132 | 9.5 | odd | 6 |