Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(24,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([35, 26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.24");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.cc (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(560\) |
Relative dimension: | \(35\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 24.10 | ||
Character | \(\chi\) | \(=\) | 403.24 |
Dual form | 403.2.cc.a.84.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(e\left(\frac{13}{30}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.27699 | + | 0.0669244i | −0.902971 | + | 0.0473227i | −0.498167 | − | 0.867081i | \(-0.665993\pi\) |
−0.404803 | + | 0.914404i | \(0.632660\pi\) | |||||||
\(3\) | −0.436672 | + | 0.393181i | −0.252113 | + | 0.227003i | −0.785490 | − | 0.618874i | \(-0.787589\pi\) |
0.533378 | + | 0.845877i | \(0.320922\pi\) | |||||||
\(4\) | −0.362811 | + | 0.0381330i | −0.181405 | + | 0.0190665i | ||||
\(5\) | −3.05329 | + | 0.818127i | −1.36547 | + | 0.365878i | −0.865824 | − | 0.500349i | \(-0.833205\pi\) |
−0.499651 | + | 0.866227i | \(0.666538\pi\) | |||||||
\(6\) | 0.531314 | − | 0.531314i | 0.216908 | − | 0.216908i | ||||
\(7\) | −0.0822901 | + | 0.519559i | −0.0311027 | + | 0.196375i | −0.998347 | − | 0.0574721i | \(-0.981696\pi\) |
0.967244 | + | 0.253847i | \(0.0816960\pi\) | |||||||
\(8\) | 2.98676 | − | 0.473056i | 1.05598 | − | 0.167251i | ||||
\(9\) | −0.277494 | + | 2.64018i | −0.0924981 | + | 0.880061i | ||||
\(10\) | 3.84428 | − | 1.24908i | 1.21567 | − | 0.394995i | ||||
\(11\) | 0.538618 | + | 0.0853087i | 0.162399 | + | 0.0257216i | 0.237105 | − | 0.971484i | \(-0.423802\pi\) |
−0.0747052 | + | 0.997206i | \(0.523802\pi\) | |||||||
\(12\) | 0.143436 | − | 0.159302i | 0.0414065 | − | 0.0459865i | ||||
\(13\) | −3.30783 | + | 1.43467i | −0.917427 | + | 0.397905i | ||||
\(14\) | 0.0703127 | − | 0.668981i | 0.0187919 | − | 0.178793i | ||||
\(15\) | 1.01162 | − | 1.55775i | 0.261198 | − | 0.402210i | ||||
\(16\) | −3.06874 | + | 0.652280i | −0.767184 | + | 0.163070i | ||||
\(17\) | −1.77426 | − | 1.28907i | −0.430321 | − | 0.312647i | 0.351456 | − | 0.936204i | \(-0.385687\pi\) |
−0.781777 | + | 0.623558i | \(0.785687\pi\) | |||||||
\(18\) | 0.177666 | − | 3.39007i | 0.0418763 | − | 0.799047i | ||||
\(19\) | 2.89222 | − | 5.67630i | 0.663521 | − | 1.30223i | −0.276467 | − | 0.961024i | \(-0.589163\pi\) |
0.939987 | − | 0.341209i | \(-0.110837\pi\) | |||||||
\(20\) | 1.07657 | − | 0.413257i | 0.240729 | − | 0.0924070i | ||||
\(21\) | −0.168347 | − | 0.259232i | −0.0367364 | − | 0.0565691i | ||||
\(22\) | −0.693521 | − | 0.0728920i | −0.147859 | − | 0.0155406i | ||||
\(23\) | 0.780999 | − | 7.43071i | 0.162850 | − | 1.54941i | −0.542198 | − | 0.840251i | \(-0.682408\pi\) |
0.705048 | − | 0.709160i | \(-0.250925\pi\) | |||||||
\(24\) | −1.11824 | + | 1.38091i | −0.228259 | + | 0.281877i | ||||
\(25\) | 4.32314 | − | 2.49597i | 0.864628 | − | 0.499193i | ||||
\(26\) | 4.12806 | − | 2.05344i | 0.809579 | − | 0.402712i | ||||
\(27\) | −1.95304 | − | 2.68814i | −0.375864 | − | 0.517332i | ||||
\(28\) | 0.0100434 | − | 0.191640i | 0.00189803 | − | 0.0362165i | ||||
\(29\) | −4.29821 | − | 3.87013i | −0.798158 | − | 0.718664i | 0.165382 | − | 0.986230i | \(-0.447114\pi\) |
−0.963540 | + | 0.267565i | \(0.913781\pi\) | |||||||
\(30\) | −1.18757 | + | 2.05694i | −0.216820 | + | 0.375544i | ||||
\(31\) | 5.41249 | + | 1.30572i | 0.972113 | + | 0.234514i | ||||
\(32\) | −1.96680 | + | 0.527001i | −0.347684 | + | 0.0931616i | ||||
\(33\) | −0.268741 | + | 0.174523i | −0.0467819 | + | 0.0303805i | ||||
\(34\) | 2.35199 | + | 1.52740i | 0.403362 | + | 0.261947i | ||||
\(35\) | −0.173810 | − | 1.65369i | −0.0293792 | − | 0.279525i | ||||
\(36\) | − | 0.968469i | − | 0.161412i | ||||||
\(37\) | 9.55285 | − | 2.55968i | 1.57048 | − | 0.420808i | 0.634516 | − | 0.772909i | \(-0.281199\pi\) |
0.935962 | + | 0.352101i | \(0.114533\pi\) | |||||||
\(38\) | −3.31346 | + | 7.44216i | −0.537515 | + | 1.20728i | ||||
\(39\) | 0.880352 | − | 1.92706i | 0.140969 | − | 0.308576i | ||||
\(40\) | −8.73243 | + | 3.88793i | −1.38072 | + | 0.614736i | ||||
\(41\) | −3.69947 | + | 7.26063i | −0.577761 | + | 1.13392i | 0.398469 | + | 0.917182i | \(0.369542\pi\) |
−0.976230 | + | 0.216738i | \(0.930458\pi\) | |||||||
\(42\) | 0.232327 | + | 0.319771i | 0.0358489 | + | 0.0493417i | ||||
\(43\) | 0.205837 | + | 0.633500i | 0.0313898 | + | 0.0966079i | 0.965524 | − | 0.260314i | \(-0.0838262\pi\) |
−0.934134 | + | 0.356922i | \(0.883826\pi\) | |||||||
\(44\) | −0.198670 | − | 0.0104118i | −0.0299506 | − | 0.00156964i | ||||
\(45\) | −1.31273 | − | 8.28828i | −0.195691 | − | 1.23554i | ||||
\(46\) | −0.500035 | + | 9.54123i | −0.0737261 | + | 1.40678i | ||||
\(47\) | 0.722776 | + | 1.41853i | 0.105428 | + | 0.206913i | 0.937694 | − | 0.347463i | \(-0.112957\pi\) |
−0.832266 | + | 0.554376i | \(0.812957\pi\) | |||||||
\(48\) | 1.08357 | − | 1.49140i | 0.156400 | − | 0.215265i | ||||
\(49\) | 6.39423 | + | 2.07761i | 0.913461 | + | 0.296801i | ||||
\(50\) | −5.35358 | + | 3.47666i | −0.757111 | + | 0.491673i | ||||
\(51\) | 1.28161 | − | 0.134703i | 0.179461 | − | 0.0188621i | ||||
\(52\) | 1.14541 | − | 0.646650i | 0.158840 | − | 0.0896743i | ||||
\(53\) | −4.94650 | − | 11.1100i | −0.679454 | − | 1.52608i | −0.842057 | − | 0.539388i | \(-0.818656\pi\) |
0.162603 | − | 0.986692i | \(-0.448011\pi\) | |||||||
\(54\) | 2.67393 | + | 3.30202i | 0.363875 | + | 0.449349i | ||||
\(55\) | −1.71435 | + | 0.180186i | −0.231163 | + | 0.0242962i | ||||
\(56\) | 1.59073i | 0.212570i | ||||||||
\(57\) | 0.968864 | + | 3.61585i | 0.128329 | + | 0.478931i | ||||
\(58\) | 5.74779 | + | 4.65447i | 0.754722 | + | 0.611162i | ||||
\(59\) | −4.86544 | − | 9.54895i | −0.633426 | − | 1.24317i | −0.955090 | − | 0.296314i | \(-0.904242\pi\) |
0.321665 | − | 0.946854i | \(-0.395758\pi\) | |||||||
\(60\) | −0.307623 | + | 0.603745i | −0.0397140 | + | 0.0779431i | ||||
\(61\) | −6.13707 | − | 3.54324i | −0.785772 | − | 0.453665i | 0.0527002 | − | 0.998610i | \(-0.483217\pi\) |
−0.838472 | + | 0.544945i | \(0.816551\pi\) | |||||||
\(62\) | −6.99910 | − | 1.30517i | −0.888887 | − | 0.165756i | ||||
\(63\) | −1.34890 | − | 0.361436i | −0.169945 | − | 0.0455366i | ||||
\(64\) | 8.44381 | − | 2.74356i | 1.05548 | − | 0.342945i | ||||
\(65\) | 8.92603 | − | 7.08669i | 1.10714 | − | 0.878995i | ||||
\(66\) | 0.331501 | − | 0.240850i | 0.0408050 | − | 0.0296465i | ||||
\(67\) | 3.11291 | + | 3.11291i | 0.380302 | + | 0.380302i | 0.871211 | − | 0.490909i | \(-0.163335\pi\) |
−0.490909 | + | 0.871211i | \(0.663335\pi\) | |||||||
\(68\) | 0.692877 | + | 0.400033i | 0.0840237 | + | 0.0485111i | ||||
\(69\) | 2.58058 | + | 3.55186i | 0.310665 | + | 0.427593i | ||||
\(70\) | 0.332626 | + | 2.10012i | 0.0397564 | + | 0.251012i | ||||
\(71\) | −6.11424 | + | 4.95121i | −0.725627 | + | 0.587601i | −0.919343 | − | 0.393457i | \(-0.871279\pi\) |
0.193716 | + | 0.981058i | \(0.437946\pi\) | |||||||
\(72\) | 0.420146 | + | 8.01686i | 0.0495147 | + | 0.944796i | ||||
\(73\) | 2.00056 | − | 2.47048i | 0.234148 | − | 0.289148i | −0.646506 | − | 0.762909i | \(-0.723770\pi\) |
0.880654 | + | 0.473761i | \(0.157104\pi\) | |||||||
\(74\) | −12.0276 | + | 3.90801i | −1.39818 | + | 0.454297i | ||||
\(75\) | −0.906427 | + | 2.78970i | −0.104665 | + | 0.322126i | ||||
\(76\) | −0.832875 | + | 2.16971i | −0.0955373 | + | 0.248883i | ||||
\(77\) | −0.0886459 | + | 0.272824i | −0.0101021 | + | 0.0310912i | ||||
\(78\) | −0.995236 | + | 2.51975i | −0.112688 | + | 0.285306i | ||||
\(79\) | −5.13462 | − | 0.539671i | −0.577690 | − | 0.0607177i | −0.188823 | − | 0.982011i | \(-0.560467\pi\) |
−0.388868 | + | 0.921294i | \(0.627134\pi\) | |||||||
\(80\) | 8.83611 | − | 4.50222i | 0.987907 | − | 0.503364i | ||||
\(81\) | −5.88038 | − | 1.24991i | −0.653375 | − | 0.138879i | ||||
\(82\) | 4.23829 | − | 9.51936i | 0.468041 | − | 1.05124i | ||||
\(83\) | −4.32586 | + | 2.80925i | −0.474825 | + | 0.308355i | −0.759774 | − | 0.650188i | \(-0.774690\pi\) |
0.284948 | + | 0.958543i | \(0.408024\pi\) | |||||||
\(84\) | 0.0709635 | + | 0.0876326i | 0.00774275 | + | 0.00956150i | ||||
\(85\) | 6.47196 | + | 2.48435i | 0.701983 | + | 0.269466i | ||||
\(86\) | −0.305249 | − | 0.795200i | −0.0329158 | − | 0.0857486i | ||||
\(87\) | 3.39857 | 0.364365 | ||||||||
\(88\) | 1.64908 | 0.175792 | ||||||||
\(89\) | 1.34065 | + | 3.49250i | 0.142108 | + | 0.370205i | 0.986100 | − | 0.166151i | \(-0.0531339\pi\) |
−0.843992 | + | 0.536356i | \(0.819801\pi\) | |||||||
\(90\) | 2.23104 | + | 10.4962i | 0.235172 | + | 1.10640i | ||||
\(91\) | −0.473193 | − | 1.83667i | −0.0496041 | − | 0.192536i | ||||
\(92\) | 2.72572i | 0.284176i | ||||||||
\(93\) | −2.87687 | + | 1.55792i | −0.298317 | + | 0.161549i | ||||
\(94\) | −1.01791 | − | 1.76308i | −0.104990 | − | 0.181848i | ||||
\(95\) | −4.18686 | + | 19.6976i | −0.429563 | + | 2.02093i | ||||
\(96\) | 0.651638 | − | 1.00343i | 0.0665075 | − | 0.102413i | ||||
\(97\) | −9.70924 | + | 11.9899i | −0.985824 | + | 1.21739i | −0.00974995 | + | 0.999952i | \(0.503104\pi\) |
−0.976074 | + | 0.217439i | \(0.930230\pi\) | |||||||
\(98\) | −8.30443 | − | 2.22516i | −0.838874 | − | 0.224776i | ||||
\(99\) | −0.374694 | + | 1.39838i | −0.0376582 | + | 0.140542i | ||||
\(100\) | −1.47330 | + | 1.07042i | −0.147330 | + | 0.107042i | ||||
\(101\) | 8.69499 | + | 0.913881i | 0.865184 | + | 0.0909345i | 0.526714 | − | 0.850043i | \(-0.323424\pi\) |
0.338470 | + | 0.940977i | \(0.390091\pi\) | |||||||
\(102\) | −1.62759 | + | 0.257785i | −0.161156 | + | 0.0255245i | ||||
\(103\) | 1.36371 | − | 6.41577i | 0.134371 | − | 0.632165i | −0.858484 | − | 0.512840i | \(-0.828594\pi\) |
0.992855 | − | 0.119325i | \(-0.0380731\pi\) | |||||||
\(104\) | −9.20101 | + | 5.84980i | −0.902233 | + | 0.573620i | ||||
\(105\) | 0.726098 | + | 0.653782i | 0.0708599 | + | 0.0638026i | ||||
\(106\) | 7.06018 | + | 13.8564i | 0.685745 | + | 1.34585i | ||||
\(107\) | 6.85095 | − | 3.05024i | 0.662307 | − | 0.294878i | −0.0479198 | − | 0.998851i | \(-0.515259\pi\) |
0.710226 | + | 0.703973i | \(0.248593\pi\) | |||||||
\(108\) | 0.811093 | + | 0.900809i | 0.0780474 | + | 0.0866804i | ||||
\(109\) | 16.1032 | − | 8.20498i | 1.54240 | − | 0.785894i | 0.543826 | − | 0.839198i | \(-0.316975\pi\) |
0.998578 | + | 0.0533034i | \(0.0169750\pi\) | |||||||
\(110\) | 2.17716 | − | 0.344828i | 0.207584 | − | 0.0328781i | ||||
\(111\) | −3.16504 | + | 4.87374i | −0.300413 | + | 0.462595i | ||||
\(112\) | −0.0863716 | − | 1.64807i | −0.00816135 | − | 0.155728i | ||||
\(113\) | −10.7424 | − | 4.78282i | −1.01056 | − | 0.449930i | −0.166420 | − | 0.986055i | \(-0.553221\pi\) |
−0.844138 | + | 0.536125i | \(0.819887\pi\) | |||||||
\(114\) | −1.47922 | − | 4.55257i | −0.138542 | − | 0.426388i | ||||
\(115\) | 3.69465 | + | 23.3271i | 0.344528 | + | 2.17526i | ||||
\(116\) | 1.70702 | + | 1.24022i | 0.158493 | + | 0.115152i | ||||
\(117\) | −2.86988 | − | 9.13139i | −0.265321 | − | 0.844197i | ||||
\(118\) | 6.85219 | + | 11.8683i | 0.630795 | + | 1.09257i | ||||
\(119\) | 0.815755 | − | 0.815755i | 0.0747801 | − | 0.0747801i | ||||
\(120\) | 2.28455 | − | 5.13118i | 0.208550 | − | 0.468410i | ||||
\(121\) | −10.1788 | − | 3.30729i | −0.925345 | − | 0.300663i | ||||
\(122\) | 8.07413 | + | 4.11397i | 0.730997 | + | 0.372462i | ||||
\(123\) | −1.23929 | − | 4.62508i | −0.111743 | − | 0.417029i | ||||
\(124\) | −2.01350 | − | 0.267335i | −0.180818 | − | 0.0240074i | ||||
\(125\) | 0.0180317 | − | 0.0180317i | 0.00161281 | − | 0.00161281i | ||||
\(126\) | 1.74672 | + | 0.371277i | 0.155610 | + | 0.0330760i | ||||
\(127\) | −11.3388 | − | 12.5930i | −1.00616 | − | 1.11745i | −0.993068 | − | 0.117537i | \(-0.962500\pi\) |
−0.0130894 | − | 0.999914i | \(-0.504167\pi\) | |||||||
\(128\) | −6.79720 | + | 2.60920i | −0.600793 | + | 0.230623i | ||||
\(129\) | −0.338963 | − | 0.195701i | −0.0298441 | − | 0.0172305i | ||||
\(130\) | −10.9242 | + | 9.64702i | −0.958116 | + | 0.846100i | ||||
\(131\) | 17.2957 | + | 7.70056i | 1.51114 | + | 0.672801i | 0.984193 | − | 0.177100i | \(-0.0566717\pi\) |
0.526942 | + | 0.849901i | \(0.323338\pi\) | |||||||
\(132\) | 0.0908472 | − | 0.0735666i | 0.00790723 | − | 0.00640315i | ||||
\(133\) | 2.71117 | + | 1.96978i | 0.235089 | + | 0.170802i | ||||
\(134\) | −4.18349 | − | 3.76683i | −0.361398 | − | 0.325405i | ||||
\(135\) | 8.16246 | + | 6.60983i | 0.702512 | + | 0.568883i | ||||
\(136\) | −5.90909 | − | 3.01083i | −0.506700 | − | 0.258177i | ||||
\(137\) | −5.92964 | − | 3.85075i | −0.506603 | − | 0.328992i | 0.265902 | − | 0.964000i | \(-0.414330\pi\) |
−0.772506 | + | 0.635008i | \(0.780997\pi\) | |||||||
\(138\) | −3.53308 | − | 4.36299i | −0.300756 | − | 0.371403i | ||||
\(139\) | −15.2871 | + | 13.7645i | −1.29663 | + | 1.16749i | −0.321245 | + | 0.946996i | \(0.604101\pi\) |
−0.975388 | + | 0.220497i | \(0.929232\pi\) | |||||||
\(140\) | 0.126120 | + | 0.593349i | 0.0106591 | + | 0.0501472i | ||||
\(141\) | −0.873354 | − | 0.335249i | −0.0735497 | − | 0.0282331i | ||||
\(142\) | 7.47649 | − | 6.73186i | 0.627413 | − | 0.564925i | ||||
\(143\) | −1.90405 | + | 0.490551i | −0.159224 | + | 0.0410220i | ||||
\(144\) | −0.870582 | − | 8.28303i | −0.0725485 | − | 0.690253i | ||||
\(145\) | 16.2900 | + | 8.30015i | 1.35281 | + | 0.689290i | ||||
\(146\) | −2.38936 | + | 3.28868i | −0.197745 | + | 0.272173i | ||||
\(147\) | −3.60906 | + | 1.60686i | −0.297670 | + | 0.132531i | ||||
\(148\) | −3.36827 | + | 1.29296i | −0.276870 | + | 0.106280i | ||||
\(149\) | −5.13962 | − | 5.13962i | −0.421054 | − | 0.421054i | 0.464513 | − | 0.885567i | \(-0.346230\pi\) |
−0.885567 | + | 0.464513i | \(0.846230\pi\) | |||||||
\(150\) | 0.970803 | − | 3.62309i | 0.0792657 | − | 0.295824i | ||||
\(151\) | 4.54836 | + | 0.720389i | 0.370140 | + | 0.0586244i | 0.338734 | − | 0.940882i | \(-0.390001\pi\) |
0.0314063 | + | 0.999507i | \(0.490001\pi\) | |||||||
\(152\) | 5.95316 | − | 18.3219i | 0.482865 | − | 1.48610i | ||||
\(153\) | 3.89574 | − | 4.32666i | 0.314952 | − | 0.349790i | ||||
\(154\) | 0.0949416 | − | 0.354327i | 0.00765062 | − | 0.0285525i | ||||
\(155\) | −17.5942 | + | 0.441367i | −1.41320 | + | 0.0354514i | ||||
\(156\) | −0.245917 | + | 0.732727i | −0.0196891 | + | 0.0586651i | ||||
\(157\) | −3.30515 | − | 10.1722i | −0.263779 | − | 0.811829i | −0.991972 | − | 0.126457i | \(-0.959639\pi\) |
0.728193 | − | 0.685372i | \(-0.240361\pi\) | |||||||
\(158\) | 6.59300 | + | 0.345524i | 0.524511 | + | 0.0274884i | ||||
\(159\) | 6.52825 | + | 2.90657i | 0.517724 | + | 0.230506i | ||||
\(160\) | 5.57405 | − | 3.21818i | 0.440667 | − | 0.254419i | ||||
\(161\) | 3.79643 | + | 1.01725i | 0.299200 | + | 0.0801705i | ||||
\(162\) | 7.59285 | + | 1.20259i | 0.596551 | + | 0.0944844i | ||||
\(163\) | 7.08267 | − | 18.4510i | 0.554757 | − | 1.44519i | −0.313745 | − | 0.949507i | \(-0.601584\pi\) |
0.868502 | − | 0.495685i | \(-0.165083\pi\) | |||||||
\(164\) | 1.06534 | − | 2.77531i | 0.0831891 | − | 0.216715i | ||||
\(165\) | 0.677764 | − | 0.752733i | 0.0527639 | − | 0.0586002i | ||||
\(166\) | 5.33609 | − | 3.87690i | 0.414161 | − | 0.300906i | ||||
\(167\) | −5.44330 | − | 8.38195i | −0.421215 | − | 0.648614i | 0.562822 | − | 0.826578i | \(-0.309716\pi\) |
−0.984037 | + | 0.177964i | \(0.943049\pi\) | |||||||
\(168\) | −0.625444 | − | 0.694626i | −0.0482540 | − | 0.0535915i | ||||
\(169\) | 8.88346 | − | 9.49127i | 0.683343 | − | 0.730098i | ||||
\(170\) | −8.43091 | − | 2.73937i | −0.646622 | − | 0.210100i | ||||
\(171\) | 14.1839 | + | 9.21113i | 1.08467 | + | 0.704393i | ||||
\(172\) | −0.0988370 | − | 0.221992i | −0.00753625 | − | 0.0169267i | ||||
\(173\) | −1.37742 | − | 6.48027i | −0.104724 | − | 0.492686i | −0.998981 | − | 0.0451329i | \(-0.985629\pi\) |
0.894257 | − | 0.447553i | \(-0.147704\pi\) | |||||||
\(174\) | −4.33995 | + | 0.227447i | −0.329011 | + | 0.0172427i | ||||
\(175\) | 0.941051 | + | 2.45152i | 0.0711368 | + | 0.185318i | ||||
\(176\) | −1.70852 | + | 0.0895399i | −0.128785 | + | 0.00674932i | ||||
\(177\) | 5.87907 | + | 2.25676i | 0.441898 | + | 0.169629i | ||||
\(178\) | −1.94573 | − | 4.37018i | −0.145839 | − | 0.327559i | ||||
\(179\) | −0.790053 | − | 7.51685i | −0.0590513 | − | 0.561836i | −0.983548 | − | 0.180646i | \(-0.942181\pi\) |
0.924497 | − | 0.381190i | \(-0.124485\pi\) | |||||||
\(180\) | 0.792331 | + | 2.95702i | 0.0590569 | + | 0.220403i | ||||
\(181\) | −5.74667 | + | 9.95353i | −0.427147 | + | 0.739840i | −0.996618 | − | 0.0821712i | \(-0.973815\pi\) |
0.569471 | + | 0.822011i | \(0.307148\pi\) | |||||||
\(182\) | 0.727183 | + | 2.31375i | 0.0539024 | + | 0.171507i | ||||
\(183\) | 4.07302 | − | 0.865748i | 0.301087 | − | 0.0639979i | ||||
\(184\) | −1.18249 | − | 22.5632i | −0.0871741 | − | 1.66338i | ||||
\(185\) | −27.0735 | + | 15.6309i | −1.99048 | + | 1.14921i | ||||
\(186\) | 3.56948 | − | 2.18199i | 0.261727 | − | 0.159991i | ||||
\(187\) | −0.845679 | − | 0.845679i | −0.0618422 | − | 0.0618422i | ||||
\(188\) | −0.316324 | − | 0.487096i | −0.0230703 | − | 0.0355251i | ||||
\(189\) | 1.55736 | − | 0.793516i | 0.113281 | − | 0.0577198i | ||||
\(190\) | 4.02834 | − | 25.4339i | 0.292246 | − | 1.84517i | ||||
\(191\) | 2.97639 | + | 5.15525i | 0.215364 | + | 0.373021i | 0.953385 | − | 0.301756i | \(-0.0975730\pi\) |
−0.738021 | + | 0.674777i | \(0.764240\pi\) | |||||||
\(192\) | −2.60846 | + | 4.51798i | −0.188249 | + | 0.326057i | ||||
\(193\) | 4.78935 | + | 3.87834i | 0.344745 | + | 0.279169i | 0.786018 | − | 0.618204i | \(-0.212139\pi\) |
−0.441273 | + | 0.897373i | \(0.645473\pi\) | |||||||
\(194\) | 11.5962 | − | 15.9608i | 0.832560 | − | 1.14592i | ||||
\(195\) | −1.11140 | + | 6.60410i | −0.0795887 | + | 0.472930i | ||||
\(196\) | −2.39912 | − | 0.509949i | −0.171366 | − | 0.0364249i | ||||
\(197\) | 3.37484 | − | 21.3079i | 0.240448 | − | 1.51813i | −0.511718 | − | 0.859153i | \(-0.670991\pi\) |
0.752166 | − | 0.658974i | \(-0.229009\pi\) | |||||||
\(198\) | 0.384896 | − | 1.81080i | 0.0273534 | − | 0.128688i | ||||
\(199\) | −4.09201 | + | 0.869784i | −0.290075 | + | 0.0616573i | −0.350651 | − | 0.936506i | \(-0.614040\pi\) |
0.0605759 | + | 0.998164i | \(0.480706\pi\) | |||||||
\(200\) | 11.7314 | − | 9.49994i | 0.829539 | − | 0.671747i | ||||
\(201\) | −2.58325 | − | 0.135383i | −0.182209 | − | 0.00954915i | ||||
\(202\) | −11.1646 | − | 0.585112i | −0.785539 | − | 0.0411684i | ||||
\(203\) | 2.36446 | − | 1.91470i | 0.165953 | − | 0.134386i | ||||
\(204\) | −0.459845 | + | 0.0977431i | −0.0321956 | + | 0.00684339i | ||||
\(205\) | 5.35546 | − | 25.1955i | 0.374042 | − | 1.75973i | ||||
\(206\) | −1.31208 | + | 8.28416i | −0.0914171 | + | 0.577185i | ||||
\(207\) | 19.4017 | + | 4.12396i | 1.34851 | + | 0.286635i | ||||
\(208\) | 9.21505 | − | 6.56025i | 0.638949 | − | 0.454872i | ||||
\(209\) | 2.04204 | − | 2.81063i | 0.141251 | − | 0.194415i | ||||
\(210\) | −0.970976 | − | 0.786281i | −0.0670037 | − | 0.0542586i | ||||
\(211\) | −6.62449 | + | 11.4740i | −0.456049 | + | 0.789900i | −0.998748 | − | 0.0500275i | \(-0.984069\pi\) |
0.542699 | + | 0.839927i | \(0.317402\pi\) | |||||||
\(212\) | 2.21830 | + | 3.84221i | 0.152354 | + | 0.263884i | ||||
\(213\) | 0.723193 | − | 4.56606i | 0.0495524 | − | 0.312861i | ||||
\(214\) | −8.54449 | + | 4.35363i | −0.584089 | + | 0.297608i | ||||
\(215\) | −1.14676 | − | 1.76586i | −0.0782086 | − | 0.120431i | ||||
\(216\) | −7.10491 | − | 7.10491i | −0.483428 | − | 0.483428i | ||||
\(217\) | −1.12379 | + | 2.70466i | −0.0762881 | + | 0.183605i | ||||
\(218\) | −20.0145 | + | 11.5554i | −1.35556 | + | 0.782630i | ||||
\(219\) | 0.0977600 | + | 1.86537i | 0.00660601 | + | 0.126050i | ||||
\(220\) | 0.615115 | − | 0.130747i | 0.0414710 | − | 0.00881494i | ||||
\(221\) | 7.71834 | + | 1.71857i | 0.519192 | + | 0.115603i | ||||
\(222\) | 3.71557 | − | 6.43555i | 0.249373 | − | 0.431926i | ||||
\(223\) | −2.69129 | − | 10.0440i | −0.180222 | − | 0.672598i | −0.995603 | − | 0.0936732i | \(-0.970139\pi\) |
0.815381 | − | 0.578925i | \(-0.196528\pi\) | |||||||
\(224\) | −0.111961 | − | 1.06523i | −0.00748068 | − | 0.0711740i | ||||
\(225\) | 5.39016 | + | 12.1065i | 0.359344 | + | 0.807100i | ||||
\(226\) | 14.0380 | + | 5.38870i | 0.933797 | + | 0.358451i | ||||
\(227\) | −8.62589 | + | 0.452064i | −0.572520 | + | 0.0300045i | −0.336400 | − | 0.941719i | \(-0.609209\pi\) |
−0.236120 | + | 0.971724i | \(0.575876\pi\) | |||||||
\(228\) | −0.489397 | − | 1.27492i | −0.0324111 | − | 0.0844339i | ||||
\(229\) | −11.1649 | + | 0.585126i | −0.737795 | + | 0.0386662i | −0.417532 | − | 0.908662i | \(-0.637105\pi\) |
−0.320263 | + | 0.947329i | \(0.603771\pi\) | |||||||
\(230\) | −6.27919 | − | 29.5413i | −0.414038 | − | 1.94789i | ||||
\(231\) | −0.0685601 | − | 0.153989i | −0.00451092 | − | 0.0101317i | ||||
\(232\) | −14.6685 | − | 9.52584i | −0.963035 | − | 0.625402i | ||||
\(233\) | −10.8051 | − | 3.51080i | −0.707867 | − | 0.230000i | −0.0671124 | − | 0.997745i | \(-0.521379\pi\) |
−0.640755 | + | 0.767745i | \(0.721379\pi\) | |||||||
\(234\) | 4.27593 | + | 11.4687i | 0.279526 | + | 0.749729i | ||||
\(235\) | −3.36738 | − | 3.73986i | −0.219664 | − | 0.243961i | ||||
\(236\) | 2.12936 | + | 3.27893i | 0.138610 | + | 0.213440i | ||||
\(237\) | 2.45434 | − | 1.78318i | 0.159426 | − | 0.115830i | ||||
\(238\) | −0.987119 | + | 1.09631i | −0.0639854 | + | 0.0710630i | ||||
\(239\) | −5.16087 | + | 13.4445i | −0.333829 | + | 0.869653i | 0.659220 | + | 0.751950i | \(0.270887\pi\) |
−0.993049 | + | 0.117703i | \(0.962447\pi\) | |||||||
\(240\) | −2.08829 | + | 5.44019i | −0.134799 | + | 0.351163i | ||||
\(241\) | 10.1471 | + | 1.60714i | 0.653629 | + | 0.103525i | 0.474437 | − | 0.880289i | \(-0.342652\pi\) |
0.179192 | + | 0.983814i | \(0.442652\pi\) | |||||||
\(242\) | 13.2196 | + | 3.54218i | 0.849787 | + | 0.227700i | ||||
\(243\) | 11.6919 | − | 6.75033i | 0.750037 | − | 0.433034i | ||||
\(244\) | 2.36171 | + | 1.05150i | 0.151193 | + | 0.0673155i | ||||
\(245\) | −21.2232 | − | 1.11226i | −1.35590 | − | 0.0710597i | ||||
\(246\) | 1.89209 | + | 5.82325i | 0.120635 | + | 0.371277i | ||||
\(247\) | −1.42336 | + | 22.9256i | −0.0905664 | + | 1.45872i | ||||
\(248\) | 16.7835 | + | 1.33946i | 1.06575 | + | 0.0850555i | ||||
\(249\) | 0.784440 | − | 2.92757i | 0.0497119 | − | 0.185527i | ||||
\(250\) | −0.0218196 | + | 0.0242331i | −0.00137999 | + | 0.00153264i | ||||
\(251\) | −5.79381 | + | 17.8315i | −0.365702 | + | 1.12552i | 0.583838 | + | 0.811870i | \(0.301550\pi\) |
−0.949540 | + | 0.313645i | \(0.898450\pi\) | |||||||
\(252\) | 0.503177 | + | 0.0796954i | 0.0316972 | + | 0.00502034i | ||||
\(253\) | 1.05456 | − | 3.93569i | 0.0662999 | − | 0.247435i | ||||
\(254\) | 15.3224 | + | 15.3224i | 0.961412 | + | 0.961412i | ||||
\(255\) | −3.80292 | + | 1.45981i | −0.238148 | + | 0.0914166i | ||||
\(256\) | −7.71618 | + | 3.43546i | −0.482261 | + | 0.214716i | ||||
\(257\) | −5.89227 | + | 8.11002i | −0.367550 | + | 0.505889i | −0.952233 | − | 0.305373i | \(-0.901219\pi\) |
0.584683 | + | 0.811262i | \(0.301219\pi\) | |||||||
\(258\) | 0.445951 | + | 0.227224i | 0.0277637 | + | 0.0141463i | ||||
\(259\) | 0.543800 | + | 5.17391i | 0.0337901 | + | 0.321491i | ||||
\(260\) | −2.96822 | + | 2.91150i | −0.184081 | + | 0.180564i | ||||
\(261\) | 11.4106 | − | 10.2741i | 0.706297 | − | 0.635952i | ||||
\(262\) | −22.6019 | − | 8.67605i | −1.39635 | − | 0.536008i | ||||
\(263\) | −4.72113 | − | 22.2112i | −0.291117 | − | 1.36960i | −0.844001 | − | 0.536341i | \(-0.819806\pi\) |
0.552884 | − | 0.833258i | \(-0.313527\pi\) | |||||||
\(264\) | −0.720107 | + | 0.648387i | −0.0443195 | + | 0.0399055i | ||||
\(265\) | 24.1925 | + | 29.8753i | 1.48614 | + | 1.83522i | ||||
\(266\) | −3.59398 | − | 2.33396i | −0.220361 | − | 0.143104i | ||||
\(267\) | −1.95861 | − | 0.997962i | −0.119865 | − | 0.0610743i | ||||
\(268\) | −1.24810 | − | 1.01069i | −0.0762399 | − | 0.0617378i | ||||
\(269\) | −16.7412 | − | 15.0739i | −1.02073 | − | 0.919069i | −0.0239864 | − | 0.999712i | \(-0.507636\pi\) |
−0.996743 | + | 0.0806434i | \(0.974302\pi\) | |||||||
\(270\) | −10.8658 | − | 7.89444i | −0.661269 | − | 0.480440i | ||||
\(271\) | −10.2699 | + | 8.31639i | −0.623851 | + | 0.505184i | −0.888329 | − | 0.459207i | \(-0.848134\pi\) |
0.264478 | + | 0.964392i | \(0.414800\pi\) | |||||||
\(272\) | 6.28557 | + | 2.79852i | 0.381119 | + | 0.169685i | ||||
\(273\) | 0.928775 | + | 0.615973i | 0.0562120 | + | 0.0372804i | ||||
\(274\) | 7.82982 | + | 4.52055i | 0.473017 | + | 0.273096i | ||||
\(275\) | 2.54145 | − | 0.975571i | 0.153255 | − | 0.0588292i | ||||
\(276\) | −1.07170 | − | 1.19025i | −0.0645090 | − | 0.0716445i | ||||
\(277\) | −15.9337 | − | 3.38682i | −0.957365 | − | 0.203494i | −0.297368 | − | 0.954763i | \(-0.596109\pi\) |
−0.659996 | + | 0.751269i | \(0.729442\pi\) | |||||||
\(278\) | 18.6003 | − | 18.6003i | 1.11557 | − | 1.11557i | ||||
\(279\) | −4.94928 | + | 13.9276i | −0.296305 | + | 0.833826i | ||||
\(280\) | −1.30142 | − | 4.85696i | −0.0777746 | − | 0.290259i | ||||
\(281\) | 20.6386 | + | 10.5159i | 1.23119 | + | 0.627324i | 0.943809 | − | 0.330491i | \(-0.107214\pi\) |
0.287384 | + | 0.957815i | \(0.407214\pi\) | |||||||
\(282\) | 1.13770 | + | 0.369662i | 0.0677493 | + | 0.0220131i | ||||
\(283\) | 6.51236 | − | 14.6270i | 0.387120 | − | 0.869485i | −0.609910 | − | 0.792470i | \(-0.708795\pi\) |
0.997030 | − | 0.0770143i | \(-0.0245387\pi\) | |||||||
\(284\) | 2.02951 | − | 2.02951i | 0.120429 | − | 0.120429i | ||||
\(285\) | −5.91645 | − | 10.2476i | −0.350460 | − | 0.607015i | ||||
\(286\) | 2.39862 | − | 0.753858i | 0.141834 | − | 0.0445766i | ||||
\(287\) | −3.46790 | − | 2.51957i | −0.204703 | − | 0.148726i | ||||
\(288\) | −0.845605 | − | 5.33894i | −0.0498278 | − | 0.314600i | ||||
\(289\) | −3.76701 | − | 11.5937i | −0.221589 | − | 0.681980i | ||||
\(290\) | −21.3576 | − | 9.50904i | −1.25416 | − | 0.558390i | ||||
\(291\) | −0.474455 | − | 9.05315i | −0.0278131 | − | 0.530705i | ||||
\(292\) | −0.631617 | + | 0.972605i | −0.0369626 | + | 0.0569174i | ||||
\(293\) | 4.02935 | − | 0.638186i | 0.235397 | − | 0.0372832i | −0.0376213 | − | 0.999292i | \(-0.511978\pi\) |
0.273018 | + | 0.962009i | \(0.411978\pi\) | |||||||
\(294\) | 4.50120 | − | 2.29348i | 0.262515 | − | 0.133758i | ||||
\(295\) | 22.6679 | + | 25.1752i | 1.31977 | + | 1.46576i | ||||
\(296\) | 27.3212 | − | 12.1642i | 1.58801 | − | 0.707028i | ||||
\(297\) | −0.822624 | − | 1.61449i | −0.0477335 | − | 0.0936822i | ||||
\(298\) | 6.90723 | + | 6.21929i | 0.400125 | + | 0.360274i | ||||
\(299\) | 8.07719 | + | 25.7000i | 0.467116 | + | 1.48627i | ||||
\(300\) | 0.222482 | − | 1.04670i | 0.0128450 | − | 0.0604311i | ||||
\(301\) | −0.346079 | + | 0.0548136i | −0.0199477 | + | 0.00315940i | ||||
\(302\) | −5.85643 | − | 0.615536i | −0.337000 | − | 0.0354201i | ||||
\(303\) | −4.15618 | + | 3.01964i | −0.238766 | + | 0.173474i | ||||
\(304\) | −5.17293 | + | 19.3056i | −0.296688 | + | 1.10725i | ||||
\(305\) | 21.6371 | + | 5.79764i | 1.23894 | + | 0.331972i | ||||
\(306\) | −4.68527 | + | 5.78583i | −0.267839 | + | 0.330754i | ||||
\(307\) | −6.62225 | + | 10.1974i | −0.377952 | + | 0.581994i | −0.975544 | − | 0.219806i | \(-0.929458\pi\) |
0.597592 | + | 0.801800i | \(0.296124\pi\) | |||||||
\(308\) | 0.0217581 | − | 0.102364i | 0.00123978 | − | 0.00583272i | ||||
\(309\) | 1.92706 | + | 3.33777i | 0.109627 | + | 0.189879i | ||||
\(310\) | 22.4381 | − | 1.74110i | 1.27440 | − | 0.0988879i | ||||
\(311\) | − | 7.12984i | − | 0.404296i | −0.979355 | − | 0.202148i | \(-0.935208\pi\) | ||
0.979355 | − | 0.202148i | \(-0.0647922\pi\) | |||||||
\(312\) | 1.71779 | − | 6.17211i | 0.0972509 | − | 0.349427i | ||||
\(313\) | −5.78287 | − | 27.2063i | −0.326867 | − | 1.53779i | −0.768061 | − | 0.640377i | \(-0.778778\pi\) |
0.441194 | − | 0.897412i | \(-0.354555\pi\) | |||||||
\(314\) | 4.90142 | + | 12.7686i | 0.276603 | + | 0.720575i | ||||
\(315\) | 4.41428 | 0.248716 | ||||||||
\(316\) | 1.88348 | 0.105954 | ||||||||
\(317\) | −7.02309 | − | 18.2958i | −0.394456 | − | 1.02759i | −0.976706 | − | 0.214583i | \(-0.931161\pi\) |
0.582249 | − | 0.813010i | \(-0.302173\pi\) | |||||||
\(318\) | −8.53105 | − | 3.27476i | −0.478398 | − | 0.183640i | ||||
\(319\) | −1.98494 | − | 2.45120i | −0.111135 | − | 0.137241i | ||||
\(320\) | −23.5368 | + | 15.2850i | −1.31575 | + | 0.854457i | ||||
\(321\) | −1.79232 | + | 4.02562i | −0.100038 | + | 0.224688i | ||||
\(322\) | −4.91609 | − | 1.04495i | −0.273963 | − | 0.0582326i | ||||
\(323\) | −12.4487 | + | 6.34294i | −0.692666 | + | 0.352931i | ||||
\(324\) | 2.18113 | + | 0.229246i | 0.121174 | + | 0.0127359i | ||||
\(325\) | −10.7193 | + | 14.4585i | −0.594601 | + | 0.802013i | ||||
\(326\) | −7.80970 | + | 24.0358i | −0.432539 | + | 1.33122i | ||||
\(327\) | −3.80576 | + | 9.91435i | −0.210459 | + | 0.548265i | ||||
\(328\) | −7.61475 | + | 23.4358i | −0.420454 | + | 1.29403i | ||||
\(329\) | −0.796486 | + | 0.258794i | −0.0439117 | + | 0.0142678i | ||||
\(330\) | −0.815124 | + | 1.00659i | −0.0448711 | + | 0.0554112i | ||||
\(331\) | −0.0332597 | − | 0.634632i | −0.00182812 | − | 0.0348825i | 0.997563 | − | 0.0697692i | \(-0.0222263\pi\) |
−0.999391 | + | 0.0348867i | \(0.988893\pi\) | |||||||
\(332\) | 1.46235 | − | 1.18418i | 0.0802567 | − | 0.0649906i | ||||
\(333\) | 4.10716 | + | 25.9316i | 0.225071 | + | 1.42104i | ||||
\(334\) | 7.51201 | + | 10.3394i | 0.411039 | + | 0.565747i | ||||
\(335\) | −12.0514 | − | 6.95786i | −0.658436 | − | 0.380148i | ||||
\(336\) | 0.685705 | + | 0.685705i | 0.0374083 | + | 0.0374083i | ||||
\(337\) | 22.7003 | − | 16.4927i | 1.23656 | − | 0.898416i | 0.239199 | − | 0.970971i | \(-0.423115\pi\) |
0.997364 | + | 0.0725545i | \(0.0231151\pi\) | |||||||
\(338\) | −10.7089 | + | 12.7148i | −0.582488 | + | 0.691594i | ||||
\(339\) | 6.57141 | − | 2.13518i | 0.356910 | − | 0.115967i | ||||
\(340\) | −2.44283 | − | 0.654555i | −0.132481 | − | 0.0354982i | ||||
\(341\) | 2.80388 | + | 1.16502i | 0.151839 | + | 0.0630892i | ||||
\(342\) | −18.7292 | − | 10.8133i | −1.01276 | − | 0.584717i | ||||
\(343\) | −3.27733 | + | 6.43212i | −0.176959 | + | 0.347302i | ||||
\(344\) | 0.914466 | + | 1.79474i | 0.0493047 | + | 0.0967659i | ||||
\(345\) | −10.7851 | − | 8.73362i | −0.580652 | − | 0.470202i | ||||
\(346\) | 2.19265 | + | 8.18308i | 0.117878 | + | 0.439925i | ||||
\(347\) | 15.0498i | 0.807915i | 0.914778 | + | 0.403957i | \(0.132366\pi\) | ||||
−0.914778 | + | 0.403957i | \(0.867634\pi\) | |||||||
\(348\) | −1.23304 | + | 0.129598i | −0.0660978 | + | 0.00694716i | ||||
\(349\) | −1.21778 | − | 1.50384i | −0.0651864 | − | 0.0804985i | 0.743510 | − | 0.668725i | \(-0.233160\pi\) |
−0.808696 | + | 0.588227i | \(0.799826\pi\) | |||||||
\(350\) | −1.36578 | − | 3.06760i | −0.0730041 | − | 0.163970i | ||||
\(351\) | 10.3169 | + | 6.08992i | 0.550676 | + | 0.325056i | ||||
\(352\) | −1.10431 | + | 0.116068i | −0.0588599 | + | 0.00618643i | ||||
\(353\) | −6.44141 | + | 4.18310i | −0.342842 | + | 0.222644i | −0.704562 | − | 0.709643i | \(-0.748856\pi\) |
0.361720 | + | 0.932287i | \(0.382190\pi\) | |||||||
\(354\) | −7.65856 | − | 2.48842i | −0.407048 | − | 0.132258i | ||||
\(355\) | 14.6178 | − | 20.1197i | 0.775835 | − | 1.06784i | ||||
\(356\) | −0.619581 | − | 1.21600i | −0.0328377 | − | 0.0644476i | ||||
\(357\) | −0.0354778 | + | 0.676957i | −0.00187768 | + | 0.0358283i | ||||
\(358\) | 1.51195 | + | 9.54609i | 0.0799091 | + | 0.504527i | ||||
\(359\) | −1.91708 | − | 0.100470i | −0.101180 | − | 0.00530260i | 0.00167892 | − | 0.999999i | \(-0.499466\pi\) |
−0.102859 | + | 0.994696i | \(0.532799\pi\) | |||||||
\(360\) | −7.84164 | − | 24.1341i | −0.413291 | − | 1.27198i | ||||
\(361\) | −12.6875 | − | 17.4629i | −0.667765 | − | 0.919100i | ||||
\(362\) | 6.67233 | − | 13.0952i | 0.350690 | − | 0.688267i | ||||
\(363\) | 5.74516 | − | 2.55791i | 0.301543 | − | 0.134255i | ||||
\(364\) | 0.241717 | + | 0.648320i | 0.0126694 | + | 0.0339812i | ||||
\(365\) | −4.08712 | + | 9.17982i | −0.213930 | + | 0.480494i | ||||
\(366\) | −5.14328 | + | 1.37814i | −0.268844 | + | 0.0720365i | ||||
\(367\) | 20.7315i | 1.08218i | 0.840966 | + | 0.541088i | \(0.181988\pi\) | ||||
−0.840966 | + | 0.541088i | \(0.818012\pi\) | |||||||
\(368\) | 2.45022 | + | 23.3123i | 0.127727 | + | 1.21524i | ||||
\(369\) | −18.1428 | − | 11.7821i | −0.944476 | − | 0.613350i | ||||
\(370\) | 33.5266 | − | 21.7724i | 1.74296 | − | 1.13189i | ||||
\(371\) | 6.17937 | − | 1.65576i | 0.320817 | − | 0.0859626i | ||||
\(372\) | 0.984351 | − | 0.674934i | 0.0510362 | − | 0.0349937i | ||||
\(373\) | −4.67685 | + | 8.10054i | −0.242158 | + | 0.419430i | −0.961329 | − | 0.275403i | \(-0.911189\pi\) |
0.719171 | + | 0.694833i | \(0.244522\pi\) | |||||||
\(374\) | 1.13652 | + | 1.02333i | 0.0587682 | + | 0.0529151i | ||||
\(375\) | −0.000784213 | 0.0149637i | −4.04966e−5 | 0.000772721i | ||||||
\(376\) | 2.82980 | + | 3.89489i | 0.145936 | + | 0.200863i | ||||
\(377\) | 19.7701 | + | 6.63521i | 1.01821 | + | 0.341731i | ||||
\(378\) | −1.93564 | + | 1.11754i | −0.0995583 | + | 0.0574800i | ||||
\(379\) | −11.9826 | + | 14.7973i | −0.615506 | + | 0.760087i | −0.985634 | − | 0.168894i | \(-0.945980\pi\) |
0.370128 | + | 0.928981i | \(0.379314\pi\) | |||||||
\(380\) | 0.767909 | − | 7.30617i | 0.0393929 | − | 0.374799i | ||||
\(381\) | 9.90269 | + | 1.04082i | 0.507330 | + | 0.0533226i | ||||
\(382\) | −4.14584 | − | 6.38403i | −0.212119 | − | 0.326635i | ||||
\(383\) | 7.37841 | − | 2.83231i | 0.377019 | − | 0.144724i | −0.162477 | − | 0.986712i | \(-0.551948\pi\) |
0.539496 | + | 0.841988i | \(0.318615\pi\) | |||||||
\(384\) | 1.94226 | − | 3.81190i | 0.0991155 | − | 0.194525i | ||||
\(385\) | 0.0474571 | − | 0.905535i | 0.00241864 | − | 0.0461504i | ||||
\(386\) | −6.37553 | − | 4.63209i | −0.324506 | − | 0.235767i | ||||
\(387\) | −1.72968 | + | 0.367654i | −0.0879243 | + | 0.0186889i | ||||
\(388\) | 3.06541 | − | 4.72031i | 0.155622 | − | 0.239638i | ||||
\(389\) | −3.34285 | + | 31.8051i | −0.169489 | + | 1.61258i | 0.497466 | + | 0.867483i | \(0.334264\pi\) |
−0.666955 | + | 0.745098i | \(0.732403\pi\) | |||||||
\(390\) | 0.977268 | − | 8.50778i | 0.0494859 | − | 0.430808i | ||||
\(391\) | −10.9644 | + | 12.1772i | −0.554495 | + | 0.615829i | ||||
\(392\) | 20.0808 | + | 3.18049i | 1.01424 | + | 0.160639i | ||||
\(393\) | −10.5803 | + | 3.43774i | −0.533704 | + | 0.173411i | ||||
\(394\) | −2.88363 | + | 27.4359i | −0.145275 | + | 1.38220i | ||||
\(395\) | 16.1190 | − | 2.55300i | 0.811037 | − | 0.128456i | ||||
\(396\) | 0.0826189 | − | 0.521635i | 0.00415175 | − | 0.0262131i | ||||
\(397\) | −3.79976 | + | 3.79976i | −0.190704 | + | 0.190704i | −0.796000 | − | 0.605296i | \(-0.793055\pi\) |
0.605296 | + | 0.796000i | \(0.293055\pi\) | |||||||
\(398\) | 5.16726 | − | 1.38456i | 0.259011 | − | 0.0694019i | ||||
\(399\) | −1.95838 | + | 0.205834i | −0.0980414 | + | 0.0103046i | ||||
\(400\) | −11.6385 | + | 10.4794i | −0.581926 | + | 0.523968i | ||||
\(401\) | 12.6982 | − | 0.665484i | 0.634117 | − | 0.0332327i | 0.267431 | − | 0.963577i | \(-0.413825\pi\) |
0.366687 | + | 0.930344i | \(0.380492\pi\) | |||||||
\(402\) | 3.30786 | 0.164981 | ||||||||
\(403\) | −19.7769 | + | 3.44603i | −0.985156 | + | 0.171659i | ||||
\(404\) | −3.18949 | −0.158683 | ||||||||
\(405\) | 18.9771 | − | 0.994548i | 0.942980 | − | 0.0494195i | ||||
\(406\) | −2.89126 | + | 2.60330i | −0.143491 | + | 0.129200i | ||||
\(407\) | 5.36370 | − | 0.563748i | 0.265869 | − | 0.0279439i | ||||
\(408\) | 3.76414 | − | 1.00860i | 0.186353 | − | 0.0499330i | ||||
\(409\) | −1.68673 | + | 1.68673i | −0.0834035 | + | 0.0834035i | −0.747578 | − | 0.664174i | \(-0.768783\pi\) |
0.664174 | + | 0.747578i | \(0.268783\pi\) | |||||||
\(410\) | −5.15270 | + | 32.5328i | −0.254474 | + | 1.60668i | ||||
\(411\) | 4.10335 | − | 0.649907i | 0.202403 | − | 0.0320575i | ||||
\(412\) | −0.250118 | + | 2.37971i | −0.0123224 | + | 0.117240i | ||||
\(413\) | 5.36163 | − | 1.74210i | 0.263828 | − | 0.0857230i | ||||
\(414\) | −25.0519 | − | 3.96782i | −1.23123 | − | 0.195008i | ||||
\(415\) | 10.9098 | − | 12.1166i | 0.535541 | − | 0.594779i | ||||
\(416\) | 5.74975 | − | 4.56493i | 0.281905 | − | 0.223814i | ||||
\(417\) | 1.26348 | − | 12.0212i | 0.0618727 | − | 0.588680i | ||||
\(418\) | −2.41957 | + | 3.72581i | −0.118345 | + | 0.182236i | ||||
\(419\) | 3.66256 | − | 0.778500i | 0.178928 | − | 0.0380322i | −0.117576 | − | 0.993064i | \(-0.537513\pi\) |
0.296504 | + | 0.955032i | \(0.404179\pi\) | |||||||
\(420\) | −0.288367 | − | 0.209511i | −0.0140709 | − | 0.0102231i | ||||
\(421\) | 1.68334 | − | 32.1200i | 0.0820410 | − | 1.56543i | −0.579152 | − | 0.815219i | \(-0.696616\pi\) |
0.661193 | − | 0.750215i | \(-0.270050\pi\) | |||||||
\(422\) | 7.69154 | − | 15.0955i | 0.374418 | − | 0.734838i | ||||
\(423\) | −3.94574 | + | 1.51463i | −0.191848 | + | 0.0736437i | ||||
\(424\) | −20.0297 | − | 30.8430i | −0.972727 | − | 1.49787i | ||||
\(425\) | −10.8879 | − | 1.14436i | −0.528139 | − | 0.0555096i | ||||
\(426\) | −0.617932 | + | 5.87923i | −0.0299389 | + | 0.284850i | ||||
\(427\) | 2.34594 | − | 2.89700i | 0.113528 | − | 0.140196i | ||||
\(428\) | −2.36929 | + | 1.36791i | −0.114524 | + | 0.0661203i | ||||
\(429\) | 0.638568 | − | 0.962845i | 0.0308304 | − | 0.0464866i | ||||
\(430\) | 1.58259 | + | 2.17825i | 0.0763192 | + | 0.105044i | ||||
\(431\) | −1.55096 | + | 29.5941i | −0.0747070 | + | 1.42550i | 0.662112 | + | 0.749405i | \(0.269660\pi\) |
−0.736819 | + | 0.676090i | \(0.763673\pi\) | |||||||
\(432\) | 7.74680 | + | 6.97525i | 0.372718 | + | 0.335597i | ||||
\(433\) | −1.91337 | + | 3.31405i | −0.0919505 | + | 0.159263i | −0.908332 | − | 0.418250i | \(-0.862643\pi\) |
0.816381 | + | 0.577513i | \(0.195977\pi\) | |||||||
\(434\) | 1.25407 | − | 3.52905i | 0.0601972 | − | 0.169400i | ||||
\(435\) | −10.3768 | + | 2.78046i | −0.497531 | + | 0.133313i | ||||
\(436\) | −5.52953 | + | 3.59092i | −0.264816 | + | 0.171974i | ||||
\(437\) | −39.9201 | − | 25.9244i | −1.90964 | − | 1.24013i | ||||
\(438\) | −0.249678 | − | 2.37553i | −0.0119301 | − | 0.113507i | ||||
\(439\) | 31.1130i | 1.48494i | 0.669878 | + | 0.742472i | \(0.266347\pi\) | ||||
−0.669878 | + | 0.742472i | \(0.733653\pi\) | |||||||
\(440\) | −5.03512 | + | 1.34916i | −0.240040 | + | 0.0643185i | ||||
\(441\) | −7.25963 | + | 16.3054i | −0.345697 | + | 0.776448i | ||||
\(442\) | −9.97128 | − | 1.67805i | −0.474285 | − | 0.0798168i | ||||
\(443\) | −20.7904 | + | 9.25649i | −0.987783 | + | 0.439789i | −0.836063 | − | 0.548634i | \(-0.815148\pi\) |
−0.151720 | + | 0.988423i | \(0.548481\pi\) | |||||||
\(444\) | 0.962462 | − | 1.88894i | 0.0456764 | − | 0.0896451i | ||||
\(445\) | −6.95070 | − | 9.56682i | −0.329495 | − | 0.453511i | ||||
\(446\) | 4.10895 | + | 12.6460i | 0.194564 | + | 0.598808i | ||||
\(447\) | 4.26513 | + | 0.223526i | 0.201734 | + | 0.0105724i | ||||
\(448\) | 0.730600 | + | 4.61283i | 0.0345176 | + | 0.217936i | ||||
\(449\) | 0.578251 | − | 11.0337i | 0.0272894 | − | 0.520712i | −0.950449 | − | 0.310882i | \(-0.899376\pi\) |
0.977738 | − | 0.209830i | \(-0.0672910\pi\) | |||||||
\(450\) | −7.69342 | − | 15.0992i | −0.362671 | − | 0.711782i | ||||
\(451\) | −2.61200 | + | 3.59511i | −0.122994 | + | 0.169287i | ||||
\(452\) | 4.07984 | + | 1.32562i | 0.191899 | + | 0.0623519i | ||||
\(453\) | −2.26938 | + | 1.47376i | −0.106625 | + | 0.0692431i | ||||
\(454\) | 10.9849 | − | 1.15456i | 0.515549 | − | 0.0541864i | ||||
\(455\) | 2.94743 | + | 5.22077i | 0.138178 | + | 0.244753i | ||||
\(456\) | 4.60426 | + | 10.3413i | 0.215614 | + | 0.484278i | ||||
\(457\) | 15.7872 | + | 19.4956i | 0.738496 | + | 0.911967i | 0.998561 | − | 0.0536243i | \(-0.0170773\pi\) |
−0.260065 | + | 0.965591i | \(0.583744\pi\) | |||||||
\(458\) | 14.2183 | − | 1.49440i | 0.664377 | − | 0.0698289i | ||||
\(459\) | 7.28707i | 0.340131i | ||||||||
\(460\) | −2.22999 | − | 8.32244i | −0.103974 | − | 0.388036i | ||||
\(461\) | −2.92076 | − | 2.36519i | −0.136033 | − | 0.110158i | 0.558889 | − | 0.829243i | \(-0.311228\pi\) |
−0.694922 | + | 0.719085i | \(0.744561\pi\) | |||||||
\(462\) | 0.0978564 | + | 0.192054i | 0.00455269 | + | 0.00893516i | ||||
\(463\) | 2.40425 | − | 4.71861i | 0.111735 | − | 0.219292i | −0.828367 | − | 0.560186i | \(-0.810730\pi\) |
0.940102 | + | 0.340894i | \(0.110730\pi\) | |||||||
\(464\) | 15.7145 | + | 9.07276i | 0.729527 | + | 0.421193i | ||||
\(465\) | 7.50935 | − | 7.11043i | 0.348238 | − | 0.329738i | ||||
\(466\) | 14.0330 | + | 3.76014i | 0.650068 | + | 0.174185i | ||||
\(467\) | −7.49065 | + | 2.43386i | −0.346626 | + | 0.112626i | −0.477156 | − | 0.878819i | \(-0.658332\pi\) |
0.130530 | + | 0.991444i | \(0.458332\pi\) | |||||||
\(468\) | 1.38943 | + | 3.20353i | 0.0642265 | + | 0.148083i | ||||
\(469\) | −1.87350 | + | 1.36118i | −0.0865102 | + | 0.0628533i | ||||
\(470\) | 4.55041 | + | 4.55041i | 0.209895 | + | 0.209895i | ||||
\(471\) | 5.44278 | + | 3.14239i | 0.250790 | + | 0.144794i | ||||
\(472\) | −19.0491 | − | 26.2188i | −0.876805 | − | 1.20682i | ||||
\(473\) | 0.0568243 | + | 0.358774i | 0.00261278 | + | 0.0164965i | ||||
\(474\) | −3.01483 | + | 2.44136i | −0.138476 | + | 0.112135i | ||||
\(475\) | −1.66438 | − | 31.7583i | −0.0763672 | − | 1.45717i | ||||
\(476\) | −0.264858 | + | 0.327072i | −0.0121397 | + | 0.0149913i | ||||
\(477\) | 30.7051 | − | 9.97670i | 1.40589 | − | 0.456802i | ||||
\(478\) | 5.69062 | − | 17.5139i | 0.260283 | − | 0.801069i | ||||
\(479\) | 10.8526 | − | 28.2720i | 0.495868 | − | 1.29178i | −0.426157 | − | 0.904649i | \(-0.640133\pi\) |
0.922025 | − | 0.387131i | \(-0.126534\pi\) | |||||||
\(480\) | −1.16870 | + | 3.59690i | −0.0533438 | + | 0.164175i | ||||
\(481\) | −27.9269 | + | 22.1721i | −1.27336 | + | 1.01096i | ||||
\(482\) | −13.0653 | − | 1.37322i | −0.595107 | − | 0.0625483i | ||||
\(483\) | −2.05776 | + | 1.04848i | −0.0936312 | + | 0.0477075i | ||||
\(484\) | 3.81909 | + | 0.811773i | 0.173595 | + | 0.0368988i | ||||
\(485\) | 19.8359 | − | 44.5521i | 0.900701 | − | 2.02301i | ||||
\(486\) | −14.4787 | + | 9.40260i | −0.656769 | + | 0.426511i | ||||
\(487\) | 8.50496 | + | 10.5028i | 0.385397 | + | 0.475925i | 0.932516 | − | 0.361130i | \(-0.117609\pi\) |
−0.547119 | + | 0.837055i | \(0.684275\pi\) | |||||||
\(488\) | −20.0061 | − | 7.67963i | −0.905634 | − | 0.347640i | ||||
\(489\) | 4.16178 | + | 10.8418i | 0.188202 | + | 0.490283i | ||||
\(490\) | 27.1763 | 1.22770 | ||||||||
\(491\) | 27.9171 | 1.25988 | 0.629941 | − | 0.776643i | \(-0.283079\pi\) | ||||
0.629941 | + | 0.776643i | \(0.283079\pi\) | |||||||
\(492\) | 0.625994 | + | 1.63077i | 0.0282220 | + | 0.0735208i | ||||
\(493\) | 2.63726 | + | 12.4073i | 0.118776 | + | 0.558798i | ||||
\(494\) | 0.283342 | − | 29.3711i | 0.0127482 | − | 1.32147i | ||||
\(495\) | − | 4.57621i | − | 0.205685i | ||||||
\(496\) | −17.4612 | − | 0.476446i | −0.784032 | − | 0.0213931i | ||||
\(497\) | −2.06931 | − | 3.58415i | −0.0928212 | − | 0.160771i | ||||
\(498\) | −0.805799 | + | 3.79098i | −0.0361087 | + | 0.169878i | ||||
\(499\) | 21.1022 | − | 32.4946i | 0.944666 | − | 1.45466i | 0.0547674 | − | 0.998499i | \(-0.482558\pi\) |
0.889898 | − | 0.456159i | \(-0.150775\pi\) | |||||||
\(500\) | −0.00585450 | + | 0.00722971i | −0.000261821 | + | 0.000323322i | ||||
\(501\) | 5.67256 | + | 1.51996i | 0.253431 | + | 0.0679067i | ||||
\(502\) | 6.20529 | − | 23.1585i | 0.276956 | − | 1.03361i | ||||
\(503\) | 33.6126 | − | 24.4210i | 1.49871 | − | 1.08888i | 0.527822 | − | 0.849355i | \(-0.323009\pi\) |
0.970891 | − | 0.239523i | \(-0.0769911\pi\) | |||||||
\(504\) | −4.19981 | − | 0.441418i | −0.187074 | − | 0.0196623i | ||||
\(505\) | −27.2960 | + | 4.32327i | −1.21466 | + | 0.192383i | ||||
\(506\) | −1.08328 | + | 5.09643i | −0.0481576 | + | 0.226564i | ||||
\(507\) | −0.147369 | + | 7.63738i | −0.00654487 | + | 0.339188i | ||||
\(508\) | 4.59406 | + | 4.13651i | 0.203828 | + | 0.183528i | ||||
\(509\) | −4.64288 | − | 9.11216i | −0.205792 | − | 0.403890i | 0.764924 | − | 0.644121i | \(-0.222777\pi\) |
−0.970716 | + | 0.240231i | \(0.922777\pi\) | |||||||
\(510\) | 4.75861 | − | 2.11867i | 0.210715 | − | 0.0938163i | ||||
\(511\) | 1.11894 | + | 1.24270i | 0.0494988 | + | 0.0549740i | ||||
\(512\) | 22.5981 | − | 11.5143i | 0.998702 | − | 0.508864i | ||||
\(513\) | −20.9073 | + | 3.31139i | −0.923080 | + | 0.146201i | ||||
\(514\) | 6.98164 | − | 10.7508i | 0.307947 | − | 0.474196i | ||||
\(515\) | 1.08510 | + | 20.7049i | 0.0478152 | + | 0.912368i | ||||
\(516\) | 0.130442 | + | 0.0580767i | 0.00574240 | + | 0.00255668i | ||||
\(517\) | 0.268287 | + | 0.825704i | 0.0117993 | + | 0.0363144i | ||||
\(518\) | −1.04069 | − | 6.57065i | −0.0457252 | − | 0.288698i | ||||
\(519\) | 3.14940 | + | 2.28818i | 0.138244 | + | 0.100440i | ||||
\(520\) | 23.3075 | − | 25.3887i | 1.02210 | − | 1.11337i | ||||
\(521\) | 10.5333 | + | 18.2443i | 0.461474 | + | 0.799296i | 0.999035 | − | 0.0439287i | \(-0.0139875\pi\) |
−0.537561 | + | 0.843225i | \(0.680654\pi\) | |||||||
\(522\) | −13.8836 | + | 13.8836i | −0.607670 | + | 0.607670i | ||||
\(523\) | −1.27250 | + | 2.85808i | −0.0556425 | + | 0.124975i | −0.939227 | − | 0.343296i | \(-0.888456\pi\) |
0.883585 | + | 0.468272i | \(0.155123\pi\) | |||||||
\(524\) | −6.56873 | − | 2.13431i | −0.286956 | − | 0.0932377i | ||||
\(525\) | −1.37482 | − | 0.700507i | −0.0600022 | − | 0.0305726i | ||||
\(526\) | 7.51532 | + | 28.0475i | 0.327683 | + | 1.22293i | ||||
\(527\) | −7.92000 | − | 9.29379i | −0.345001 | − | 0.404844i | ||||
\(528\) | 0.710859 | − | 0.710859i | 0.0309362 | − | 0.0309362i | ||||
\(529\) | −32.1081 | − | 6.82479i | −1.39600 | − | 0.296730i | ||||
\(530\) | −32.8931 | − | 36.5315i | −1.42878 | − | 1.58683i | ||||
\(531\) | 26.5611 | − | 10.1959i | 1.15265 | − | 0.442463i | ||||
\(532\) | −1.05876 | − | 0.611274i | −0.0459030 | − | 0.0265021i | ||||
\(533\) | 1.82064 | − | 29.3244i | 0.0788607 | − | 1.27018i | ||||
\(534\) | 2.56792 | + | 1.14331i | 0.111125 | + | 0.0494759i | ||||
\(535\) | −18.4225 | + | 14.9182i | −0.796473 | + | 0.644971i | ||||
\(536\) | 10.7701 | + | 7.82492i | 0.465197 | + | 0.337985i | ||||
\(537\) | 3.30048 | + | 2.97176i | 0.142426 | + | 0.128241i | ||||
\(538\) | 22.3872 | + | 18.1288i | 0.965181 | + | 0.781588i | ||||
\(539\) | 3.26681 | + | 1.66452i | 0.140711 | + | 0.0716960i | ||||
\(540\) | −3.21348 | − | 2.08686i | −0.138286 | − | 0.0898041i | ||||
\(541\) | 1.80082 | + | 2.22382i | 0.0774231 | + | 0.0956096i | 0.814386 | − | 0.580324i | \(-0.197074\pi\) |
−0.736963 | + | 0.675933i | \(0.763741\pi\) | |||||||
\(542\) | 12.5580 | − | 11.3073i | 0.539412 | − | 0.485689i | ||||
\(543\) | −1.40413 | − | 6.60591i | −0.0602570 | − | 0.283487i | ||||
\(544\) | 4.16895 | + | 1.60031i | 0.178742 | + | 0.0686127i | ||||
\(545\) | −42.4550 | + | 38.2267i | −1.81857 | + | 1.63745i | ||||
\(546\) | −1.22726 | − | 0.724435i | −0.0525220 | − | 0.0310030i | ||||
\(547\) | −0.315733 | − | 3.00400i | −0.0134998 | − | 0.128442i | 0.985696 | − | 0.168531i | \(-0.0539024\pi\) |
−0.999196 | + | 0.0400894i | \(0.987236\pi\) | |||||||
\(548\) | 2.29818 | + | 1.17098i | 0.0981733 | + | 0.0500218i | ||||
\(549\) | 11.0578 | − | 15.2198i | 0.471936 | − | 0.649564i | ||||
\(550\) | −3.18012 | + | 1.41588i | −0.135601 | + | 0.0603734i | ||||
\(551\) | −34.3994 | + | 13.2047i | −1.46546 | + | 0.562538i | ||||
\(552\) | 9.38779 | + | 9.38779i | 0.399571 | + | 0.399571i | ||||
\(553\) | 0.702920 | − | 2.62333i | 0.0298912 | − | 0.111555i | ||||
\(554\) | 20.5739 | + | 3.25859i | 0.874102 | + | 0.138444i | ||||
\(555\) | 5.67647 | − | 17.4704i | 0.240953 | − | 0.741576i | ||||
\(556\) | 5.02144 | − | 5.57687i | 0.212956 | − | 0.236512i | ||||
\(557\) | −5.68349 | + | 21.2111i | −0.240817 | + | 0.898743i | 0.734622 | + | 0.678476i | \(0.237359\pi\) |
−0.975440 | + | 0.220267i | \(0.929307\pi\) | |||||||
\(558\) | 5.38809 | − | 18.1167i | 0.228096 | − | 0.766943i | ||||
\(559\) | −1.58973 | − | 1.80020i | −0.0672386 | − | 0.0761405i | ||||
\(560\) | 1.61205 | + | 4.96137i | 0.0681214 | + | 0.209656i | ||||
\(561\) | 0.701789 | + | 0.0367792i | 0.0296296 | + | 0.00155282i | ||||
\(562\) | −27.0591 | − | 12.0475i | −1.14142 | − | 0.508192i | ||||
\(563\) | −6.57413 | + | 3.79558i | −0.277067 | + | 0.159964i | −0.632095 | − | 0.774891i | \(-0.717805\pi\) |
0.355028 | + | 0.934856i | \(0.384471\pi\) | |||||||
\(564\) | 0.329646 | + | 0.0883285i | 0.0138806 | + | 0.00371930i | ||||
\(565\) | 36.7126 | + | 5.81471i | 1.54451 | + | 0.244627i | ||||
\(566\) | −7.33733 | + | 19.1144i | −0.308411 | + | 0.803439i | ||||
\(567\) | 1.13330 | − | 2.95235i | 0.0475942 | − | 0.123987i | ||||
\(568\) | −15.9196 | + | 17.6805i | −0.667970 | + | 0.741856i | ||||
\(569\) | 21.1786 | − | 15.3872i | 0.887854 | − | 0.645064i | −0.0474634 | − | 0.998873i | \(-0.515114\pi\) |
0.935318 | + | 0.353809i | \(0.115114\pi\) | |||||||
\(570\) | 8.24108 | + | 12.6902i | 0.345181 | + | 0.531532i | ||||
\(571\) | −11.7068 | − | 13.0017i | −0.489914 | − | 0.544104i | 0.446601 | − | 0.894733i | \(-0.352634\pi\) |
−0.936514 | + | 0.350629i | \(0.885968\pi\) | |||||||
\(572\) | 0.672103 | − | 0.250584i | 0.0281020 | − | 0.0104775i | ||||
\(573\) | −3.32665 | − | 1.08090i | −0.138973 | − | 0.0451550i | ||||
\(574\) | 4.59710 | + | 2.98539i | 0.191879 | + | 0.124608i | ||||
\(575\) | −15.1704 | − | 34.0734i | −0.632651 | − | 1.42096i | ||||
\(576\) | 4.90039 | + | 23.0545i | 0.204183 | + | 0.960605i | ||||
\(577\) | 23.1307 | − | 1.21223i | 0.962945 | − | 0.0504658i | 0.435621 | − | 0.900130i | \(-0.356529\pi\) |
0.527324 | + | 0.849664i | \(0.323195\pi\) | |||||||
\(578\) | 5.58634 | + | 14.5529i | 0.232361 | + | 0.605322i | ||||
\(579\) | −3.61627 | + | 0.189520i | −0.150287 | + | 0.00787620i | ||||
\(580\) | −6.22668 | − | 2.39020i | −0.258549 | − | 0.0992476i | ||||
\(581\) | −1.10360 | − | 2.47872i | −0.0457849 | − | 0.102835i | ||||
\(582\) | 1.21175 | + | 11.5291i | 0.0502288 | + | 0.477895i | ||||
\(583\) | −1.71649 | − | 6.40604i | −0.0710899 | − | 0.265311i | ||||
\(584\) | 4.80651 | − | 8.32512i | 0.198895 | − | 0.344496i | ||||
\(585\) | 16.2332 | + | 25.5329i | 0.671161 | + | 1.05565i | ||||
\(586\) | −5.10274 | + | 1.08462i | −0.210792 | + | 0.0448053i | ||||
\(587\) | −0.661905 | − | 12.6299i | −0.0273198 | − | 0.521292i | −0.977675 | − | 0.210124i | \(-0.932613\pi\) |
0.950355 | − | 0.311168i | \(-0.100720\pi\) | |||||||
\(588\) | 1.24813 | − | 0.720609i | 0.0514721 | − | 0.0297174i | ||||
\(589\) | 23.0658 | − | 26.9465i | 0.950409 | − | 1.11031i | ||||
\(590\) | −30.6315 | − | 30.6315i | −1.26108 | − | 1.26108i | ||||
\(591\) | 6.90418 | + | 10.6315i | 0.284000 | + | 0.437321i | ||||
\(592\) | −27.6456 | + | 14.0861i | −1.13623 | + | 0.578936i | ||||
\(593\) | −5.03685 | + | 31.8014i | −0.206839 | + | 1.30593i | 0.637639 | + | 0.770336i | \(0.279911\pi\) |
−0.844477 | + | 0.535592i | \(0.820089\pi\) | |||||||
\(594\) | 1.15853 | + | 2.00664i | 0.0475352 | + | 0.0823334i | ||||
\(595\) | −1.82335 | + | 3.15813i | −0.0747499 | + | 0.129471i | ||||
\(596\) | 2.06070 | + | 1.66872i | 0.0844095 | + | 0.0683535i | ||||
\(597\) | 1.44488 | − | 1.98871i | 0.0591352 | − | 0.0813926i | ||||
\(598\) | −12.0345 | − | 32.2782i | −0.492126 | − | 1.31995i | ||||
\(599\) | 18.9189 | + | 4.02133i | 0.773004 | + | 0.164307i | 0.577494 | − | 0.816395i | \(-0.304030\pi\) |
0.195510 | + | 0.980702i | \(0.437364\pi\) | |||||||
\(600\) | −1.38760 | + | 8.76094i | −0.0566484 | + | 0.357664i | ||||
\(601\) | −3.20223 | + | 15.0653i | −0.130622 | + | 0.614527i | 0.863324 | + | 0.504651i | \(0.168379\pi\) |
−0.993945 | + | 0.109876i | \(0.964955\pi\) | |||||||
\(602\) | 0.438273 | − | 0.0931577i | 0.0178627 | − | 0.00379682i | ||||
\(603\) | −9.08245 | + | 7.35483i | −0.369866 | + | 0.299512i | ||||
\(604\) | −1.67766 | − | 0.0879227i | −0.0682632 | − | 0.00357752i | ||||
\(605\) | 33.7846 | + | 1.77058i | 1.37354 | + | 0.0719842i | ||||
\(606\) | 5.10533 | − | 4.13421i | 0.207390 | − | 0.167941i | ||||
\(607\) | −26.8777 | + | 5.71302i | −1.09093 | + | 0.231885i | −0.718048 | − | 0.695994i | \(-0.754964\pi\) |
−0.372883 | + | 0.927878i | \(0.621631\pi\) | |||||||
\(608\) | −2.69699 | + | 12.6883i | −0.109377 | + | 0.514580i | ||||
\(609\) | −0.279669 | + | 1.76576i | −0.0113327 | + | 0.0715521i | ||||
\(610\) | −28.0184 | − | 5.95550i | −1.13443 | − | 0.241131i | ||||
\(611\) | −4.42593 | − | 3.65530i | −0.179054 | − | 0.147878i | ||||
\(612\) | −1.24843 | + | 1.71831i | −0.0504647 | + | 0.0694588i | ||||
\(613\) | 2.37728 | + | 1.92508i | 0.0960175 | + | 0.0777534i | 0.676127 | − | 0.736785i | \(-0.263657\pi\) |
−0.580110 | + | 0.814538i | \(0.696990\pi\) | |||||||
\(614\) | 7.77411 | − | 13.4652i | 0.313738 | − | 0.543409i | ||||
\(615\) | 7.56780 | + | 13.1078i | 0.305163 | + | 0.528558i | ||||
\(616\) | −0.135703 | + | 0.856794i | −0.00546763 | + | 0.0345212i | ||||
\(617\) | −10.6603 | + | 5.43169i | −0.429167 | + | 0.218671i | −0.655211 | − | 0.755446i | \(-0.727420\pi\) |
0.226045 | + | 0.974117i | \(0.427420\pi\) | |||||||
\(618\) | −2.68423 | − | 4.13335i | −0.107975 | − | 0.166268i | ||||
\(619\) | −34.0981 | − | 34.0981i | −1.37052 | − | 1.37052i | −0.859670 | − | 0.510850i | \(-0.829331\pi\) |
−0.510850 | − | 0.859670i | \(-0.670669\pi\) | |||||||
\(620\) | 6.36653 | − | 0.831051i | 0.255686 | − | 0.0333758i | ||||
\(621\) | −21.5001 | + | 12.4131i | −0.862768 | + | 0.498120i | ||||
\(622\) | 0.477160 | + | 9.10476i | 0.0191324 | + | 0.365067i | ||||
\(623\) | −1.92488 | + | 0.409147i | −0.0771189 | + | 0.0163921i | ||||
\(624\) | −1.44459 | + | 6.48786i | −0.0578298 | + | 0.259722i | ||||
\(625\) | −12.5201 | + | 21.6855i | −0.500805 | + | 0.867420i | ||||
\(626\) | 9.20545 | + | 34.3552i | 0.367924 | + | 1.37311i | ||||
\(627\) | 0.213384 | + | 2.03021i | 0.00852174 | + | 0.0810790i | ||||
\(628\) | 1.58704 | + | 3.56455i | 0.0633298 | + | 0.142241i | ||||
\(629\) | −20.2488 | − | 7.77280i | −0.807374 | − | 0.309922i | ||||
\(630\) | −5.63700 | + | 0.295423i | −0.224584 | + | 0.0117699i | ||||
\(631\) | 0.201282 | + | 0.524358i | 0.00801291 | + | 0.0208744i | 0.937529 | − | 0.347908i | \(-0.113108\pi\) |
−0.929516 | + | 0.368783i | \(0.879775\pi\) | |||||||
\(632\) | −15.5912 | + | 0.817099i | −0.620184 | + | 0.0325025i | ||||
\(633\) | −1.61861 | − | 7.61498i | −0.0643341 | − | 0.302668i | ||||
\(634\) | 10.1929 | + | 22.8936i | 0.404811 | + | 0.909220i | ||||
\(635\) | 44.9235 | + | 29.1736i | 1.78273 | + | 1.15772i | ||||
\(636\) | −2.47936 | − | 0.805592i | −0.0983129 | − | 0.0319438i | ||||
\(637\) | −24.1317 | + | 2.30121i | −0.956132 | + | 0.0911773i | ||||
\(638\) | 2.69880 | + | 2.99732i | 0.106846 | + | 0.118665i | ||||
\(639\) | −11.3754 | − | 17.5166i | −0.450006 | − | 0.692948i | ||||
\(640\) | 18.6192 | − | 13.5276i | 0.735988 | − | 0.534727i | ||||
\(641\) | 13.4861 | − | 14.9779i | 0.532670 | − | 0.591590i | −0.415405 | − | 0.909636i | \(-0.636360\pi\) |
0.948075 | + | 0.318047i | \(0.103027\pi\) | |||||||
\(642\) | 2.01937 | − | 5.26064i | 0.0796982 | − | 0.207621i | ||||
\(643\) | 3.32175 | − | 8.65346i | 0.130997 | − | 0.341259i | −0.852356 | − | 0.522961i | \(-0.824827\pi\) |
0.983354 | + | 0.181702i | \(0.0581606\pi\) | |||||||
\(644\) | −1.41618 | − | 0.224300i | −0.0558051 | − | 0.00883867i | ||||
\(645\) | 1.19506 | + | 0.320216i | 0.0470556 | + | 0.0126085i | ||||
\(646\) | 15.4724 | − | 8.93302i | 0.608755 | − | 0.351465i | ||||
\(647\) | 7.44634 | + | 3.31533i | 0.292746 | + | 0.130339i | 0.547855 | − | 0.836573i | \(-0.315445\pi\) |
−0.255109 | + | 0.966912i | \(0.582111\pi\) | |||||||
\(648\) | −18.1546 | − | 0.951440i | −0.713178 | − | 0.0373761i | ||||
\(649\) | −1.80600 | − | 5.55830i | −0.0708918 | − | 0.218183i | ||||
\(650\) | 12.7209 | − | 19.1808i | 0.498954 | − | 0.752332i | ||||
\(651\) | −0.572694 | − | 1.62291i | −0.0224457 | − | 0.0636067i | ||||
\(652\) | −1.86608 | + | 6.96430i | −0.0730813 | + | 0.272743i | ||||
\(653\) | −5.82140 | + | 6.46532i | −0.227809 | + | 0.253007i | −0.846203 | − | 0.532861i | \(-0.821117\pi\) |
0.618394 | + | 0.785868i | \(0.287784\pi\) | |||||||
\(654\) | 4.19642 | − | 12.9153i | 0.164093 | − | 0.505027i | ||||
\(655\) | −59.1090 | − | 9.36194i | −2.30958 | − | 0.365801i | ||||
\(656\) | 6.61675 | − | 24.6941i | 0.258341 | − | 0.964141i | ||||
\(657\) | 5.96738 | + | 5.96738i | 0.232810 | + | 0.232810i | ||||
\(658\) | 0.999788 | − | 0.383783i | 0.0389758 | − | 0.0149614i | ||||
\(659\) | 37.6684 | − | 16.7710i | 1.46735 | − | 0.653307i | 0.491328 | − | 0.870974i | \(-0.336511\pi\) |
0.976023 | + | 0.217667i | \(0.0698448\pi\) | |||||||
\(660\) | −0.217196 | + | 0.298945i | −0.00845435 | + | 0.0116364i | ||||
\(661\) | 6.22342 | + | 3.17099i | 0.242063 | + | 0.123337i | 0.570814 | − | 0.821079i | \(-0.306628\pi\) |
−0.328751 | + | 0.944417i | \(0.606628\pi\) | |||||||
\(662\) | 0.0849447 | + | 0.808195i | 0.00330147 | + | 0.0314114i | ||||
\(663\) | −4.04609 | + | 2.28426i | −0.157137 | + | 0.0887132i | ||||
\(664\) | −11.5914 | + | 10.4369i | −0.449833 | + | 0.405031i | ||||
\(665\) | −9.88954 | − | 3.79624i | −0.383500 | − | 0.147212i | ||||
\(666\) | −6.98026 | − | 32.8396i | −0.270480 | − | 1.27251i | ||||
\(667\) | −32.1147 | + | 28.9162i | −1.24349 | + | 1.11964i | ||||
\(668\) | 2.29452 | + | 2.83349i | 0.0887775 | + | 0.109631i | ||||
\(669\) | 5.12434 | + | 3.32778i | 0.198118 | + | 0.128659i | ||||
\(670\) | 15.8552 | + | 8.07861i | 0.612538 | + | 0.312104i | ||||
\(671\) | −3.00327 | − | 2.43200i | −0.115940 | − | 0.0938863i | ||||
\(672\) | 0.467720 | + | 0.421137i | 0.0180427 | + | 0.0162457i | ||||
\(673\) | 5.59290 | + | 4.06348i | 0.215591 | + | 0.156636i | 0.690340 | − | 0.723486i | \(-0.257461\pi\) |
−0.474749 | + | 0.880121i | \(0.657461\pi\) | |||||||
\(674\) | −27.8844 | + | 22.5803i | −1.07407 | + | 0.869761i | ||||
\(675\) | −15.1528 | − | 6.74645i | −0.583231 | − | 0.259671i | ||||
\(676\) | −2.86109 | + | 3.78229i | −0.110042 | + | 0.145473i | ||||
\(677\) | 10.2728 | + | 5.93098i | 0.394814 | + | 0.227946i | 0.684244 | − | 0.729253i | \(-0.260132\pi\) |
−0.289430 | + | 0.957199i | \(0.593466\pi\) | |||||||
\(678\) | −8.24875 | + | 3.16640i | −0.316792 | + | 0.121605i | ||||
\(679\) | −5.43050 | − | 6.03118i | −0.208403 | − | 0.231455i | ||||
\(680\) | 20.5054 | + | 4.35856i | 0.786347 | + | 0.167143i | ||||
\(681\) | 3.58894 | − | 3.58894i | 0.137528 | − | 0.137528i | ||||
\(682\) | −3.65850 | − | 1.30007i | −0.140091 | − | 0.0497823i | ||||
\(683\) | 10.6965 | + | 39.9197i | 0.409288 | + | 1.52748i | 0.796007 | + | 0.605287i | \(0.206942\pi\) |
−0.386719 | + | 0.922198i | \(0.626392\pi\) | |||||||
\(684\) | −5.49732 | − | 2.80103i | −0.210195 | − | 0.107100i | ||||
\(685\) | 21.2553 | + | 6.90628i | 0.812124 | + | 0.263875i | ||||
\(686\) | 3.75466 | − | 8.43311i | 0.143354 | − | 0.321978i | ||||
\(687\) | 4.64532 | − | 4.64532i | 0.177230 | − | 0.177230i | ||||
\(688\) | −1.04488 | − | 1.80978i | −0.0398356 | − | 0.0689973i | ||||
\(689\) | 32.3014 | + | 29.6535i | 1.23058 | + | 1.12971i | ||||
\(690\) | 14.3570 | + | 10.4310i | 0.546563 | + | 0.397101i | ||||
\(691\) | −6.69175 | − | 42.2500i | −0.254566 | − | 1.60727i | −0.701479 | − | 0.712690i | \(-0.747477\pi\) |
0.446913 | − | 0.894577i | \(-0.352523\pi\) | |||||||
\(692\) | 0.746857 | + | 2.29859i | 0.0283912 | + | 0.0873792i | ||||
\(693\) | −0.695707 | − | 0.309749i | −0.0264277 | − | 0.0117664i | ||||
\(694\) | −1.00720 | − | 19.2185i | −0.0382327 | − | 0.729523i | ||||
\(695\) | 35.4148 | − | 54.5340i | 1.34336 | − | 2.06859i | ||||
\(696\) | 10.1507 | − | 1.60771i | 0.384762 | − | 0.0609403i | ||||
\(697\) | 15.9233 | − | 8.11333i | 0.603138 | − | 0.307314i | ||||
\(698\) | 1.65574 | + | 1.83889i | 0.0626708 | + | 0.0696030i | ||||
\(699\) | 6.09868 | − | 2.71531i | 0.230673 | − | 0.102702i | ||||
\(700\) | −0.434907 | − | 0.853554i | −0.0164380 | − | 0.0322613i | ||||
\(701\) | −7.50969 | − | 6.76175i | −0.283637 | − | 0.255388i | 0.515015 | − | 0.857181i | \(-0.327786\pi\) |
−0.798652 | + | 0.601793i | \(0.794453\pi\) | |||||||
\(702\) | −13.5822 | − | 7.08633i | −0.512627 | − | 0.267456i | ||||
\(703\) | 13.0994 | − | 61.6280i | 0.494055 | − | 2.32434i | ||||
\(704\) | 4.78204 | − | 0.757400i | 0.180230 | − | 0.0285456i | ||||
\(705\) | 2.94088 | + | 0.309099i | 0.110760 | + | 0.0116414i | ||||
\(706\) | 7.94569 | − | 5.77288i | 0.299040 | − | 0.217265i | ||||
\(707\) | −1.19033 | + | 4.44236i | −0.0447669 | + | 0.167072i | ||||
\(708\) | −2.21905 | − | 0.594592i | −0.0833969 | − | 0.0223461i | ||||
\(709\) | 25.7591 | − | 31.8099i | 0.967405 | − | 1.19465i | −0.0134509 | − | 0.999910i | \(-0.504282\pi\) |
0.980856 | − | 0.194736i | \(-0.0623850\pi\) | |||||||
\(710\) | −17.3204 | + | 26.6711i | −0.650023 | + | 1.00095i | ||||
\(711\) | 2.84966 | − | 13.4066i | 0.106871 | − | 0.502787i | ||||
\(712\) | 5.65634 | + | 9.79707i | 0.211980 | + | 0.367161i | ||||
\(713\) | 13.9296 | − | 39.1989i | 0.521667 | − | 1.46801i | ||||
\(714\) | − | 0.866843i | − | 0.0324408i | ||||||
\(715\) | 5.41228 | − | 3.05555i | 0.202408 | − | 0.114271i | ||||
\(716\) | 0.573279 | + | 2.69707i | 0.0214245 | + | 0.100794i | ||||
\(717\) | −3.03253 | − | 7.90000i | −0.113252 | − | 0.295031i | ||||
\(718\) | 2.45482 | 0.0916132 | ||||||||
\(719\) | 12.2193 | 0.455704 | 0.227852 | − | 0.973696i | \(-0.426830\pi\) | ||||
0.227852 | + | 0.973696i | \(0.426830\pi\) | |||||||
\(720\) | 9.43472 | + | 24.5783i | 0.351611 | + | 0.915979i | ||||
\(721\) | 3.22115 | + | 1.23648i | 0.119962 | + | 0.0460491i | ||||
\(722\) | 17.3706 | + | 21.4509i | 0.646467 | + | 0.798320i | ||||
\(723\) | −5.06283 | + | 3.28784i | −0.188289 | + | 0.122276i | ||||
\(724\) | 1.70540 | − | 3.83039i | 0.0633806 | − | 0.142355i | ||||
\(725\) | −28.2415 | − | 6.00291i | −1.04886 | − | 0.222942i | ||||
\(726\) | −7.16534 | + | 3.65092i | −0.265931 | + | 0.135498i | ||||
\(727\) | −33.8090 | − | 3.55347i | −1.25391 | − | 0.131791i | −0.545812 | − | 0.837908i | \(-0.683779\pi\) |
−0.708095 | + | 0.706117i | \(0.750445\pi\) | |||||||
\(728\) | −2.28216 | − | 5.26185i | −0.0845826 | − | 0.195017i | ||||
\(729\) | 3.12177 | − | 9.60782i | 0.115621 | − | 0.355845i | ||||
\(730\) | 4.60487 | − | 11.9961i | 0.170434 | − | 0.443995i | ||||
\(731\) | 0.451421 | − | 1.38933i | 0.0166964 | − | 0.0513863i | ||||
\(732\) | −1.44472 | + | 0.469419i | −0.0533985 | + | 0.0173502i | ||||
\(733\) | 4.93351 | − | 6.09238i | 0.182223 | − | 0.225027i | −0.677846 | − | 0.735204i | \(-0.737087\pi\) |
0.860070 | + | 0.510176i | \(0.170420\pi\) | |||||||
\(734\) | −1.38744 | − | 26.4740i | −0.0512115 | − | 0.977174i | ||||
\(735\) | 9.70490 | − | 7.85887i | 0.357970 | − | 0.289879i | ||||
\(736\) | 2.37993 | + | 15.0263i | 0.0877253 | + | 0.553876i | ||||
\(737\) | 1.41111 | + | 1.94223i | 0.0519789 | + | 0.0715428i | ||||
\(738\) | 23.9567 | + | 13.8314i | 0.881860 | + | 0.509142i | ||||
\(739\) | −23.2621 | − | 23.2621i | −0.855709 | − | 0.855709i | 0.135120 | − | 0.990829i | \(-0.456858\pi\) |
−0.990829 | + | 0.135120i | \(0.956858\pi\) | |||||||
\(740\) | 9.22651 | − | 6.70345i | 0.339173 | − | 0.246424i | ||||
\(741\) | −8.39238 | − | 10.5706i | −0.308302 | − | 0.388321i | ||||
\(742\) | −7.78020 | + | 2.52794i | −0.285620 | + | 0.0928036i | ||||
\(743\) | 17.7747 | + | 4.76271i | 0.652090 | + | 0.174727i | 0.569674 | − | 0.821871i | \(-0.307070\pi\) |
0.0824164 | + | 0.996598i | \(0.473736\pi\) | |||||||
\(744\) | −7.85553 | + | 6.01405i | −0.287998 | + | 0.220486i | ||||
\(745\) | 19.8976 | + | 11.4879i | 0.728993 | + | 0.420884i | ||||
\(746\) | 5.43018 | − | 10.6573i | 0.198813 | − | 0.390193i | ||||
\(747\) | −6.21653 | − | 12.2006i | −0.227451 | − | 0.446398i | ||||
\(748\) | 0.339070 | + | 0.274573i | 0.0123976 | + | 0.0100394i | ||||
\(749\) | 1.02102 | + | 3.81048i | 0.0373071 | + | 0.139232i | ||||
\(750\) | − | 0.0191610i | − | 0.000699661i | ||||||
\(751\) | −1.69629 | + | 0.178287i | −0.0618984 | + | 0.00650579i | −0.135427 | − | 0.990787i | \(-0.543241\pi\) |
0.0735286 | + | 0.997293i | \(0.476574\pi\) | |||||||
\(752\) | −3.14329 | − | 3.88164i | −0.114624 | − | 0.141549i | ||||
\(753\) | −4.48102 | − | 10.0645i | −0.163298 | − | 0.366772i | ||||
\(754\) | −25.6903 | − | 7.15002i | −0.935586 | − | 0.260388i | ||||
\(755\) | −14.4768 | + | 1.52158i | −0.526866 | + | 0.0553759i | ||||
\(756\) | −0.534769 | + | 0.347283i | −0.0194494 | + | 0.0126306i | ||||
\(757\) | 3.29249 | + | 1.06979i | 0.119667 | + | 0.0388823i | 0.368239 | − | 0.929731i | \(-0.379961\pi\) |
−0.248571 | + | 0.968614i | \(0.579961\pi\) | |||||||
\(758\) | 14.3114 | − | 19.6980i | 0.519815 | − | 0.715463i | ||||
\(759\) | 1.08694 | + | 2.13324i | 0.0394534 | + | 0.0774317i | ||||
\(760\) | −3.18706 | + | 60.8127i | −0.115607 | + | 2.20591i | ||||
\(761\) | −2.18579 | − | 13.8005i | −0.0792347 | − | 0.500268i | −0.995107 | − | 0.0987993i | \(-0.968500\pi\) |
0.915873 | − | 0.401469i | \(-0.131500\pi\) | |||||||
\(762\) | −12.7153 | − | 0.666382i | −0.460628 | − | 0.0241405i | ||||
\(763\) | 2.93784 | + | 9.04174i | 0.106357 | + | 0.327333i | ||||
\(764\) | −1.27645 | − | 1.75688i | −0.0461804 | − | 0.0635618i | ||||
\(765\) | −8.35508 | + | 16.3978i | −0.302079 | + | 0.592863i | ||||
\(766\) | −9.23263 | + | 4.11063i | −0.333589 | + | 0.148523i | ||||
\(767\) | 29.7936 | + | 24.6060i | 1.07578 | + | 0.888472i | ||||
\(768\) | 2.01868 | − | 4.53403i | 0.0728428 | − | 0.163608i | ||||
\(769\) | −43.4047 | + | 11.6303i | −1.56521 | + | 0.419398i | −0.934310 | − | 0.356463i | \(-0.883983\pi\) |
−0.630905 | + | 0.775860i | \(0.717316\pi\) | |||||||
\(770\) | 1.15954i | 0.0417869i | ||||||||
\(771\) | −0.615716 | − | 5.85815i | −0.0221745 | − | 0.210976i | ||||
\(772\) | −1.88552 | − | 1.22447i | −0.0678614 | − | 0.0440697i | ||||
\(773\) | −35.1359 | + | 22.8175i | −1.26375 | + | 0.820690i | −0.989994 | − | 0.141108i | \(-0.954933\pi\) |
−0.273758 | + | 0.961799i | \(0.588267\pi\) | |||||||
\(774\) | 2.18418 | − | 0.585249i | 0.0785087 | − | 0.0210363i | ||||
\(775\) | 26.6580 | − | 7.86460i | 0.957584 | − | 0.282505i | ||||
\(776\) | −23.3273 | + | 40.4040i | −0.837400 | + | 1.45042i | ||||
\(777\) | −2.27175 | − | 2.04549i | −0.0814984 | − | 0.0733815i | ||||
\(778\) | 2.14026 | − | 40.8386i | 0.0767320 | − | 1.46413i | ||||
\(779\) | 30.5138 | + | 41.9987i | 1.09327 | + | 1.50476i | ||||
\(780\) | 0.151392 | − | 2.43842i | 0.00542071 | − | 0.0873095i | ||||
\(781\) | −3.71562 | + | 2.14522i | −0.132955 | + | 0.0767619i | ||||
\(782\) | 13.1866 | − | 16.2840i | 0.471550 | − | 0.582316i | ||||
\(783\) | −2.00883 | + | 19.1127i | −0.0717896 | + | 0.683032i | ||||
\(784\) | −20.9774 | − | 2.20481i | −0.749192 | − | 0.0787433i | ||||
\(785\) | 18.4137 | + | 28.3547i | 0.657214 | + | 1.01202i | ||||
\(786\) | 13.2809 | − | 5.09805i | 0.473713 | − | 0.181841i | ||||
\(787\) | 19.7795 | − | 38.8195i | 0.705063 | − | 1.38376i | −0.208888 | − | 0.977940i | \(-0.566984\pi\) |
0.913951 | − | 0.405825i | \(-0.133016\pi\) | |||||||
\(788\) | −0.411896 | + | 7.85944i | −0.0146732 | + | 0.279981i | ||||
\(789\) | 10.7946 | + | 7.84273i | 0.384298 | + | 0.279209i | ||||
\(790\) | −20.4130 | + | 4.33893i | −0.726263 | + | 0.154372i | ||||
\(791\) | 3.36895 | − | 5.18773i | 0.119786 | − | 0.184454i | ||||
\(792\) | −0.457610 | + | 4.35387i | −0.0162605 | + | 0.154708i | ||||
\(793\) | 25.3838 | + | 2.91577i | 0.901404 | + | 0.103542i | ||||
\(794\) | 4.59797 | − | 5.10656i | 0.163176 | − | 0.181225i | ||||
\(795\) | −22.3106 | − | 3.53365i | −0.791276 | − | 0.125326i | ||||
\(796\) | 1.45146 | − | 0.471608i | 0.0514456 | − | 0.0167157i | ||||
\(797\) | 3.28655 | − | 31.2694i | 0.116416 | − | 1.10762i | −0.767848 | − | 0.640632i | \(-0.778672\pi\) |
0.884264 | − | 0.466988i | \(-0.154661\pi\) | |||||||
\(798\) | 2.48706 | − | 0.393911i | 0.0880409 | − | 0.0139443i | ||||
\(799\) | 0.546196 | − | 3.44855i | 0.0193230 | − | 0.122001i | ||||
\(800\) | −7.18736 | + | 7.18736i | −0.254111 | + | 0.254111i | ||||
\(801\) | −9.59287 | + | 2.57040i | −0.338947 | + | 0.0908207i | ||||
\(802\) | −16.1710 | + | 1.69964i | −0.571017 | + | 0.0600163i | ||||
\(803\) | 1.28829 | − | 1.15998i | 0.0454628 | − | 0.0409349i | ||||
\(804\) | 0.942396 | − | 0.0493889i | 0.0332357 | − | 0.00174181i | ||||
\(805\) | −12.4238 | −0.437883 | ||||||||
\(806\) | 25.0243 | − | 5.72412i | 0.881444 | − | 0.201623i | ||||
\(807\) | 13.2372 | 0.465971 | ||||||||
\(808\) | 26.4022 | − | 1.38368i | 0.928825 | − | 0.0486777i | ||||
\(809\) | −38.8939 | + | 35.0202i | −1.36744 | + | 1.23125i | −0.421526 | + | 0.906816i | \(0.638505\pi\) |
−0.945910 | + | 0.324429i | \(0.894828\pi\) | |||||||
\(810\) | −24.1671 | + | 2.54006i | −0.849144 | + | 0.0892487i | ||||
\(811\) | −52.7382 | + | 14.1312i | −1.85189 | + | 0.496212i | −0.999638 | − | 0.0269197i | \(-0.991430\pi\) |
−0.852252 | + | 0.523132i | \(0.824763\pi\) | |||||||
\(812\) | −0.784839 | + | 0.784839i | −0.0275424 | + | 0.0275424i | ||||
\(813\) | 1.21472 | − | 7.66946i | 0.0426022 | − | 0.268980i | ||||
\(814\) | −6.81168 | + | 1.07886i | −0.238749 | + | 0.0378142i | ||||
\(815\) | −6.53021 | + | 62.1308i | −0.228743 | + | 2.17635i | ||||
\(816\) | −3.84506 | + | 1.24934i | −0.134604 | + | 0.0437355i | ||||
\(817\) | 4.19126 | + | 0.663831i | 0.146634 | + | 0.0232245i | ||||
\(818\) | 2.04106 | − | 2.26683i | 0.0713640 | − | 0.0792578i | ||||
\(819\) | 4.98046 | − | 0.739651i | 0.174031 | − | 0.0258455i | ||||
\(820\) | −0.982242 | + | 9.34541i | −0.0343014 | + | 0.326356i | ||||
\(821\) | −8.44054 | + | 12.9973i | −0.294577 | + | 0.453608i | −0.954709 | − | 0.297541i | \(-0.903834\pi\) |
0.660132 | + | 0.751149i | \(0.270500\pi\) | |||||||
\(822\) | −5.19646 | + | 1.10454i | −0.181247 | + | 0.0385253i | ||||
\(823\) | −7.13059 | − | 5.18067i | −0.248557 | − | 0.180587i | 0.456530 | − | 0.889708i | \(-0.349092\pi\) |
−0.705087 | + | 0.709121i | \(0.749092\pi\) | |||||||
\(824\) | 1.03807 | − | 19.8075i | 0.0361627 | − | 0.690026i | ||||
\(825\) | −0.726204 | + | 1.42526i | −0.0252832 | + | 0.0496210i | ||||
\(826\) | −6.73017 | + | 2.58347i | −0.234173 | + | 0.0898904i | ||||
\(827\) | 25.1202 | + | 38.6817i | 0.873514 | + | 1.34509i | 0.937805 | + | 0.347162i | \(0.112855\pi\) |
−0.0642914 | + | 0.997931i | \(0.520479\pi\) | |||||||
\(828\) | −7.19641 | − | 0.756373i | −0.250093 | − | 0.0262858i | ||||
\(829\) | 2.85825 | − | 27.1944i | 0.0992711 | − | 0.944501i | −0.825609 | − | 0.564243i | \(-0.809168\pi\) |
0.924880 | − | 0.380259i | \(-0.124165\pi\) | |||||||
\(830\) | −13.1209 | + | 16.2029i | −0.455432 | + | 0.562411i | ||||
\(831\) | 8.28945 | − | 4.78591i | 0.287558 | − | 0.166021i | ||||
\(832\) | −23.9946 | + | 21.1893i | −0.831862 | + | 0.734606i | ||||
\(833\) | −8.66682 | − | 11.9289i | −0.300287 | − | 0.413310i | ||||
\(834\) | −0.808942 | + | 15.4355i | −0.0280114 | + | 0.534489i | ||||
\(835\) | 23.4775 | + | 21.1392i | 0.812472 | + | 0.731553i | ||||
\(836\) | −0.633697 | + | 1.09760i | −0.0219169 | + | 0.0379611i | ||||
\(837\) | −7.06089 | − | 17.0996i | −0.244060 | − | 0.591050i | ||||
\(838\) | −4.62496 | + | 1.23925i | −0.159767 | + | 0.0428093i | ||||
\(839\) | −12.1003 | + | 7.85804i | −0.417749 | + | 0.271290i | −0.736352 | − | 0.676599i | \(-0.763453\pi\) |
0.318603 | + | 0.947888i | \(0.396786\pi\) | |||||||
\(840\) | 2.47796 | + | 1.60920i | 0.0854976 | + | 0.0555228i | ||||
\(841\) | 0.465412 | + | 4.42810i | 0.0160487 | + | 0.152693i | ||||
\(842\) | 41.1297i | 1.41742i | ||||||||
\(843\) | −13.1469 | + | 3.52271i | −0.452804 | + | 0.121329i | ||||
\(844\) | 1.96590 | − | 4.41549i | 0.0676691 | − | 0.151987i | ||||
\(845\) | −19.3587 | + | 36.2474i | −0.665961 | + | 1.24695i | ||||
\(846\) | 4.93731 | − | 2.19823i | 0.169748 | − | 0.0755768i | ||||
\(847\) | 2.55595 | − | 5.01633i | 0.0878234 | − | 0.172363i | ||||
\(848\) | 22.4264 | + | 30.8672i | 0.770125 | + | 1.05999i | ||||
\(849\) | 2.90730 | + | 8.94774i | 0.0997781 | + | 0.307086i | ||||
\(850\) | 13.9803 | + | 0.732677i | 0.479521 | + | 0.0251306i | ||||
\(851\) | −11.5595 | − | 72.9836i | −0.396253 | − | 2.50184i | ||||
\(852\) | −0.0882649 | + | 1.68419i | −0.00302391 | + | 0.0576996i | ||||
\(853\) | 8.38848 | + | 16.4633i | 0.287216 | + | 0.563693i | 0.988862 | − | 0.148832i | \(-0.0475514\pi\) |
−0.701647 | + | 0.712525i | \(0.747551\pi\) | |||||||
\(854\) | −2.80187 | + | 3.85645i | −0.0958782 | + | 0.131965i | ||||
\(855\) | −50.8435 | − | 16.5201i | −1.73881 | − | 0.564974i | ||||
\(856\) | 19.0192 | − | 12.3512i | 0.650063 | − | 0.422156i | ||||
\(857\) | 1.84911 | − | 0.194349i | 0.0631643 | − | 0.00663883i | −0.0728936 | − | 0.997340i | \(-0.523223\pi\) |
0.136058 | + | 0.990701i | \(0.456557\pi\) | |||||||
\(858\) | −0.751009 | + | 1.27228i | −0.0256390 | + | 0.0434350i | ||||
\(859\) | 14.1293 | + | 31.7349i | 0.482085 | + | 1.08278i | 0.976883 | + | 0.213773i | \(0.0685754\pi\) |
−0.494798 | + | 0.869008i | \(0.664758\pi\) | |||||||
\(860\) | 0.483396 | + | 0.596944i | 0.0164837 | + | 0.0203556i | ||||
\(861\) | 2.50498 | − | 0.263284i | 0.0853696 | − | 0.00897270i | ||||
\(862\) | − | 37.8952i | − | 1.29072i | ||||||
\(863\) | 6.46352 | + | 24.1222i | 0.220021 | + | 0.821129i | 0.984338 | + | 0.176289i | \(0.0564092\pi\) |
−0.764318 | + | 0.644840i | \(0.776924\pi\) | |||||||
\(864\) | 5.25789 | + | 4.25776i | 0.178877 | + | 0.144852i | ||||
\(865\) | 9.50737 | + | 18.6593i | 0.323260 | + | 0.634434i | ||||
\(866\) | 2.22157 | − | 4.36007i | 0.0754919 | − | 0.148161i | ||||
\(867\) | 6.20336 | + | 3.58151i | 0.210677 | + | 0.121634i | ||||
\(868\) | 0.304588 | − | 1.02414i | 0.0103384 | − | 0.0347614i | ||||
\(869\) | −2.71956 | − | 0.728705i | −0.0922549 | − | 0.0247196i | ||||
\(870\) | 13.0651 | − | 4.24510i | 0.442947 | − | 0.143922i | ||||
\(871\) | −14.7629 | − | 5.83097i | −0.500223 | − | 0.197575i | ||||
\(872\) | 44.2149 | − | 32.1240i | 1.49731 | − | 1.08786i | ||||
\(873\) | −28.9613 | − | 28.9613i | −0.980192 | − | 0.980192i | ||||
\(874\) | 52.7127 | + | 30.4337i | 1.78303 | + | 1.02944i | ||||
\(875\) | 0.00788472 | + | 0.0108524i | 0.000266552 | + | 0.000366877i | ||||
\(876\) | −0.106601 | − | 0.673050i | −0.00360170 | − | 0.0227402i | ||||
\(877\) | −32.0908 | + | 25.9866i | −1.08363 | + | 0.877506i | −0.992969 | − | 0.118376i | \(-0.962231\pi\) |
−0.0906603 | + | 0.995882i | \(0.528898\pi\) | |||||||
\(878\) | −2.08222 | − | 39.7311i | −0.0702715 | − | 1.34086i | ||||
\(879\) | −1.50858 | + | 1.86294i | −0.0508831 | + | 0.0628354i | ||||
\(880\) | 5.14337 | − | 1.67118i | 0.173383 | − | 0.0563355i | ||||
\(881\) | −4.78865 | + | 14.7379i | −0.161334 | + | 0.496534i | −0.998747 | − | 0.0500356i | \(-0.984067\pi\) |
0.837414 | + | 0.546569i | \(0.184067\pi\) | |||||||
\(882\) | 8.17927 | − | 21.3077i | 0.275410 | − | 0.717469i | ||||
\(883\) | −7.11486 | + | 21.8973i | −0.239434 | + | 0.736902i | 0.757068 | + | 0.653336i | \(0.226631\pi\) |
−0.996502 | + | 0.0835662i | \(0.973369\pi\) | |||||||
\(884\) | −2.86583 | − | 0.329191i | −0.0963883 | − | 0.0110719i | ||||
\(885\) | −19.7968 | − | 2.08073i | −0.665464 | − | 0.0699430i | ||||
\(886\) | 25.9297 | − | 13.2119i | 0.871127 | − | 0.443861i | ||||
\(887\) | 41.3314 | + | 8.78527i | 1.38777 | + | 0.294980i | 0.840427 | − | 0.541925i | \(-0.182304\pi\) |
0.547347 | + | 0.836906i | \(0.315638\pi\) | |||||||
\(888\) | −7.14767 | + | 16.0539i | −0.239860 | + | 0.538735i | ||||
\(889\) | 7.47590 | − | 4.85491i | 0.250734 | − | 0.162828i | ||||
\(890\) | 9.51625 | + | 11.7516i | 0.318985 | + | 0.393914i | ||||
\(891\) | −3.06065 | − | 1.17487i | −0.102536 | − | 0.0393597i | ||||
\(892\) | 1.35944 | + | 3.54146i | 0.0455174 | + | 0.118577i | ||||
\(893\) | 10.1424 | 0.339403 | ||||||||
\(894\) | −5.46150 | −0.182660 | ||||||||
\(895\) | 8.56200 | + | 22.3048i | 0.286196 | + | 0.745566i | ||||
\(896\) | −0.796292 | − | 3.74626i | −0.0266023 | − | 0.125154i | ||||
\(897\) | −13.6318 | − | 8.04667i | −0.455154 | − | 0.268670i | ||||
\(898\) | 14.1286i | 0.471479i | ||||||||
\(899\) | −18.2107 | − | 26.5593i | −0.607362 | − | 0.885802i | ||||
\(900\) | −2.41727 | − | 4.18683i | −0.0805755 | − | 0.139561i | ||||
\(901\) | −5.54528 | + | 26.0885i | −0.184740 | + | 0.869133i | ||||
\(902\) | 3.09490 | − | 4.76573i | 0.103049 | − | 0.158682i | ||||
\(903\) | 0.129571 | − | 0.160007i | 0.00431187 | − | 0.00532471i | ||||
\(904\) | −34.3475 | − | 9.20338i | −1.14238 | − | 0.306100i | ||||
\(905\) | 9.40302 | − | 35.0926i | 0.312567 | − | 1.16652i | ||||
\(906\) | 2.79936 | − | 2.03385i | 0.0930024 | − | 0.0675702i | ||||
\(907\) | 37.1107 | + | 3.90049i | 1.23224 | + | 0.129514i | 0.698173 | − | 0.715929i | \(-0.253997\pi\) |
0.534066 | + | 0.845443i | \(0.320663\pi\) | |||||||
\(908\) | 3.11233 | − | 0.492944i | 0.103286 | − | 0.0163589i | ||||
\(909\) | −4.82563 | + | 22.7028i | −0.160056 | + | 0.753004i | ||||
\(910\) | −4.11324 | − | 6.46963i | −0.136353 | − | 0.214466i | ||||
\(911\) | −35.5805 | − | 32.0368i | −1.17883 | − | 1.06143i | −0.996945 | − | 0.0781086i | \(-0.975112\pi\) |
−0.181890 | − | 0.983319i | \(-0.558221\pi\) | |||||||
\(912\) | −5.33174 | − | 10.4641i | −0.176551 | − | 0.346502i | ||||
\(913\) | −2.56964 | + | 1.14408i | −0.0850428 | + | 0.0378635i | ||||
\(914\) | −21.4649 | − | 23.8392i | −0.709997 | − | 0.788532i | ||||
\(915\) | −11.7278 | + | 5.97563i | −0.387711 | + | 0.197548i | ||||
\(916\) | 4.02842 | − | 0.638039i | 0.133103 | − | 0.0210814i | ||||
\(917\) | −5.42416 | + | 8.35248i | −0.179122 | + | 0.275823i | ||||
\(918\) | −0.487683 | − | 9.30554i | −0.0160959 | − | 0.307128i | ||||
\(919\) | 2.51859 | + | 1.12135i | 0.0830805 | + | 0.0369898i | 0.447856 | − | 0.894106i | \(-0.352188\pi\) |
−0.364776 | + | 0.931095i | \(0.618854\pi\) | |||||||
\(920\) | 22.0701 | + | 67.9246i | 0.727628 | + | 2.23941i | ||||
\(921\) | −1.11766 | − | 7.05665i | −0.0368283 | − | 0.232524i | ||||
\(922\) | 3.88808 | + | 2.82486i | 0.128047 | + | 0.0930317i | ||||
\(923\) | 13.1215 | − | 25.1497i | 0.431900 | − | 0.827811i | ||||
\(924\) | 0.0307464 | + | 0.0532543i | 0.00101148 | + | 0.00175194i | ||||
\(925\) | 34.9094 | − | 34.9094i | 1.14782 | − | 1.14782i | ||||
\(926\) | −2.75442 | + | 6.18654i | −0.0905160 | + | 0.203302i | ||||
\(927\) | 16.5604 | + | 5.38080i | 0.543914 | + | 0.176729i | ||||
\(928\) | 10.4933 | + | 5.34659i | 0.344458 | + | 0.175510i | ||||
\(929\) | −7.69715 | − | 28.7261i | −0.252535 | − | 0.942474i | −0.969445 | − | 0.245308i | \(-0.921111\pi\) |
0.716910 | − | 0.697166i | \(-0.245556\pi\) | |||||||
\(930\) | −9.11353 | + | 9.58253i | −0.298844 | + | 0.314224i | ||||
\(931\) | 30.2866 | − | 30.2866i | 0.992605 | − | 0.992605i | ||||
\(932\) | 4.05410 | + | 0.861725i | 0.132796 | + | 0.0282267i | ||||
\(933\) | 2.80332 | + | 3.11340i | 0.0917765 | + | 0.101928i | ||||
\(934\) | 9.40262 | − | 3.60933i | 0.307663 | − | 0.118101i | ||||
\(935\) | 3.27398 | + | 1.89023i | 0.107071 | + | 0.0618172i | ||||
\(936\) | −12.8913 | − | 25.9156i | −0.421365 | − | 0.847079i | ||||
\(937\) | 19.2933 | + | 8.58993i | 0.630285 | + | 0.280621i | 0.696911 | − | 0.717157i | \(-0.254557\pi\) |
−0.0666269 | + | 0.997778i | \(0.521224\pi\) | |||||||
\(938\) | 2.30135 | − | 1.86360i | 0.0751418 | − | 0.0608486i | ||||
\(939\) | 13.2222 | + | 9.60650i | 0.431491 | + | 0.313496i | ||||
\(940\) | 1.36433 | + | 1.22845i | 0.0444997 | + | 0.0400677i | ||||
\(941\) | 10.1882 | + | 8.25026i | 0.332127 | + | 0.268951i | 0.780848 | − | 0.624721i | \(-0.214787\pi\) |
−0.448722 | + | 0.893672i | \(0.648121\pi\) | |||||||
\(942\) | −7.16070 | − | 3.64856i | −0.233308 | − | 0.118876i | ||||
\(943\) | 51.0623 | + | 33.1603i | 1.66282 | + | 1.07985i | ||||
\(944\) | 21.1593 | + | 26.1296i | 0.688678 | + | 0.850446i | ||||
\(945\) | −4.10589 | + | 3.69696i | −0.133564 | + | 0.120262i | ||||
\(946\) | −0.0965750 | − | 0.454350i | −0.00313992 | − | 0.0147722i | ||||
\(947\) | −30.0886 | − | 11.5499i | −0.977749 | − | 0.375323i | −0.183570 | − | 0.983007i | \(-0.558765\pi\) |
−0.794179 | + | 0.607684i | \(0.792099\pi\) | |||||||
\(948\) | −0.822462 | + | 0.740548i | −0.0267123 | + | 0.0240519i | ||||
\(949\) | −3.07318 | + | 11.0421i | −0.0997596 | + | 0.358441i | ||||
\(950\) | 4.25081 | + | 40.4438i | 0.137915 | + | 1.31217i | ||||
\(951\) | 10.2603 | + | 5.22791i | 0.332715 | + | 0.169527i | ||||
\(952\) | 2.05057 | − | 2.82236i | 0.0664592 | − | 0.0914732i | ||||
\(953\) | 1.31837 | − | 0.586978i | 0.0427064 | − | 0.0190141i | −0.385272 | − | 0.922803i | \(-0.625892\pi\) |
0.427979 | + | 0.903789i | \(0.359226\pi\) | |||||||
\(954\) | −38.5426 | + | 14.7951i | −1.24786 | + | 0.479009i | ||||
\(955\) | −13.3054 | − | 13.3054i | −0.430554 | − | 0.430554i | ||||
\(956\) | 1.35974 | − | 5.07462i | 0.0439771 | − | 0.164125i | ||||
\(957\) | 1.83053 | + | 0.289928i | 0.0591727 | + | 0.00937203i | ||||
\(958\) | −11.9666 | + | 36.8294i | −0.386624 | + | 1.18991i | ||||
\(959\) | 2.48864 | − | 2.76392i | 0.0803625 | − | 0.0892516i | ||||
\(960\) | 4.26810 | − | 15.9288i | 0.137752 | − | 0.514099i | ||||
\(961\) | 27.5902 | + | 14.1344i | 0.890006 | + | 0.455948i | ||||
\(962\) | 34.1786 | − | 30.1827i | 1.10196 | − | 0.973128i | ||||
\(963\) | 6.15209 | + | 18.9342i | 0.198248 | + | 0.610146i | ||||
\(964\) | −3.74275 | − | 0.196149i | −0.120546 | − | 0.00631754i | ||||
\(965\) | −17.7963 | − | 7.92341i | −0.572882 | − | 0.255064i | ||||
\(966\) | 2.55757 | − | 1.47662i | 0.0822885 | − | 0.0475093i | ||||
\(967\) | −38.4582 | − | 10.3048i | −1.23673 | − | 0.331381i | −0.419534 | − | 0.907740i | \(-0.637806\pi\) |
−0.817197 | + | 0.576359i | \(0.804473\pi\) | |||||||
\(968\) | −31.9661 | − | 5.06294i | −1.02743 | − | 0.162729i | ||||
\(969\) | 2.94208 | − | 7.66439i | 0.0945133 | − | 0.246216i | ||||
\(970\) | −22.3487 | + | 58.2203i | −0.717572 | + | 1.86934i | ||||
\(971\) | −0.811898 | + | 0.901704i | −0.0260550 | + | 0.0289370i | −0.756031 | − | 0.654535i | \(-0.772864\pi\) |
0.729976 | + | 0.683472i | \(0.239531\pi\) | |||||||
\(972\) | −3.98454 | + | 2.89494i | −0.127804 | + | 0.0928553i | ||||
\(973\) | −5.89352 | − | 9.07523i | −0.188938 | − | 0.290938i | ||||
\(974\) | −11.5637 | − | 12.8428i | −0.370524 | − | 0.411508i | ||||
\(975\) | −1.00398 | − | 10.5283i | −0.0321531 | − | 0.337174i | ||||
\(976\) | 21.1443 | + | 6.87018i | 0.676811 | + | 0.219909i | ||||
\(977\) | −37.9750 | − | 24.6612i | −1.21493 | − | 0.788983i | −0.231953 | − | 0.972727i | \(-0.574511\pi\) |
−0.982974 | + | 0.183744i | \(0.941178\pi\) | |||||||
\(978\) | −6.04014 | − | 13.5664i | −0.193142 | − | 0.433805i | ||||
\(979\) | 0.424156 | + | 1.99549i | 0.0135561 | + | 0.0637763i | ||||
\(980\) | 7.74242 | − | 0.405763i | 0.247323 | − | 0.0129616i | ||||
\(981\) | 17.1941 | + | 44.7922i | 0.548966 | + | 1.43010i | ||||
\(982\) | −35.6500 | + | 1.86834i | −1.13764 | + | 0.0596210i | ||||
\(983\) | −5.79487 | − | 2.22444i | −0.184828 | − | 0.0709487i | 0.264194 | − | 0.964470i | \(-0.414894\pi\) |
−0.449022 | + | 0.893521i | \(0.648227\pi\) | |||||||
\(984\) | −5.88937 | − | 13.2277i | −0.187746 | − | 0.421685i | ||||
\(985\) | 7.12821 | + | 67.8204i | 0.227124 | + | 2.16094i | ||||
\(986\) | −4.19811 | − | 15.6676i | −0.133695 | − | 0.498957i | ||||
\(987\) | 0.246050 | − | 0.426172i | 0.00783187 | − | 0.0135652i | ||||
\(988\) | −0.357810 | − | 8.37194i | −0.0113835 | − | 0.266347i | ||||
\(989\) | 4.86811 | − | 1.03475i | 0.154797 | − | 0.0329031i | ||||
\(990\) | 0.306260 | + | 5.84378i | 0.00973357 | + | 0.185728i | ||||
\(991\) | −20.7281 | + | 11.9674i | −0.658449 | + | 0.380156i | −0.791686 | − | 0.610928i | \(-0.790796\pi\) |
0.133237 | + | 0.991084i | \(0.457463\pi\) | |||||||
\(992\) | −11.3334 | + | 0.284309i | −0.359835 | + | 0.00902681i | ||||
\(993\) | 0.264049 | + | 0.264049i | 0.00837934 | + | 0.00837934i | ||||
\(994\) | 2.88236 | + | 4.43844i | 0.0914229 | + | 0.140779i | ||||
\(995\) | 11.7825 | − | 6.00349i | 0.373531 | − | 0.190323i | ||||
\(996\) | −0.172966 | + | 1.09207i | −0.00548065 | + | 0.0346035i | ||||
\(997\) | 6.88362 | + | 11.9228i | 0.218006 | + | 0.377598i | 0.954198 | − | 0.299175i | \(-0.0967113\pi\) |
−0.736192 | + | 0.676773i | \(0.763378\pi\) | |||||||
\(998\) | −24.7727 | + | 42.9076i | −0.784167 | + | 1.35822i | ||||
\(999\) | −25.5379 | − | 20.6802i | −0.807983 | − | 0.654292i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 403.2.cc.a.24.10 | ✓ | 560 | |
13.6 | odd | 12 | 403.2.ch.a.396.26 | yes | 560 | ||
31.22 | odd | 30 | 403.2.ch.a.115.26 | yes | 560 | ||
403.84 | even | 60 | inner | 403.2.cc.a.84.10 | yes | 560 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.cc.a.24.10 | ✓ | 560 | 1.1 | even | 1 | trivial | |
403.2.cc.a.84.10 | yes | 560 | 403.84 | even | 60 | inner | |
403.2.ch.a.115.26 | yes | 560 | 31.22 | odd | 30 | ||
403.2.ch.a.396.26 | yes | 560 | 13.6 | odd | 12 |