Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [120,2,Mod(53,120)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(120, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 2, 2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("120.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 120 = 2^{3} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 120.w (of order \(4\), 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: | \(0.958204824255\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 53.9 | ||
Character | \(\chi\) | \(=\) | 120.53 |
Dual form | 120.2.w.c.77.9 |
$q$-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 \(\left(\mathbb{Z}/120\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(41\) | \(61\) | \(97\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0941764 | + | 1.41107i | 0.0665928 | + | 0.997780i | ||||
\(3\) | 1.68122 | + | 0.416519i | 0.970655 | + | 0.240477i | ||||
\(4\) | −1.98226 | + | 0.265780i | −0.991131 | + | 0.132890i | ||||
\(5\) | −1.62104 | + | 1.54020i | −0.724951 | + | 0.688801i | ||||
\(6\) | −0.429408 | + | 2.41156i | −0.175305 | + | 0.984514i | ||||
\(7\) | −0.361989 | + | 0.361989i | −0.136819 | + | 0.136819i | −0.772199 | − | 0.635380i | \(-0.780843\pi\) |
0.635380 | + | 0.772199i | \(0.280843\pi\) | |||||||
\(8\) | −0.561717 | − | 2.77209i | −0.198597 | − | 0.980081i | ||||
\(9\) | 2.65302 | + | 1.40052i | 0.884341 | + | 0.466841i | ||||
\(10\) | −2.32601 | − | 2.14236i | −0.735548 | − | 0.677473i | ||||
\(11\) | 2.63380 | 0.794119 | 0.397060 | − | 0.917793i | \(-0.370031\pi\) | ||||
0.397060 | + | 0.917793i | \(0.370031\pi\) | |||||||
\(12\) | −3.44333 | − | 0.378815i | −0.994003 | − | 0.109354i | ||||
\(13\) | 3.49376 | − | 3.49376i | 0.968995 | − | 0.968995i | −0.0305386 | − | 0.999534i | \(-0.509722\pi\) |
0.999534 | + | 0.0305386i | \(0.00972224\pi\) | |||||||
\(14\) | −0.544885 | − | 0.476703i | −0.145627 | − | 0.127404i | ||||
\(15\) | −3.36685 | + | 1.91423i | −0.869318 | + | 0.494253i | ||||
\(16\) | 3.85872 | − | 1.05369i | 0.964681 | − | 0.263423i | ||||
\(17\) | −3.61339 | − | 3.61339i | −0.876376 | − | 0.876376i | 0.116782 | − | 0.993158i | \(-0.462742\pi\) |
−0.993158 | + | 0.116782i | \(0.962742\pi\) | |||||||
\(18\) | −1.72639 | + | 3.87551i | −0.406914 | + | 0.913466i | ||||
\(19\) | −0.672266 | −0.154228 | −0.0771142 | − | 0.997022i | \(-0.524571\pi\) | ||||
−0.0771142 | + | 0.997022i | \(0.524571\pi\) | |||||||
\(20\) | 2.80397 | − | 3.48393i | 0.626987 | − | 0.779030i | ||||
\(21\) | −0.759360 | + | 0.457809i | −0.165706 | + | 0.0999022i | ||||
\(22\) | 0.248041 | + | 3.71648i | 0.0528826 | + | 0.792357i | ||||
\(23\) | −4.31851 | + | 4.31851i | −0.900472 | + | 0.900472i | −0.995477 | − | 0.0950052i | \(-0.969713\pi\) |
0.0950052 | + | 0.995477i | \(0.469713\pi\) | |||||||
\(24\) | 0.210256 | − | 4.89447i | 0.0429182 | − | 0.999079i | ||||
\(25\) | 0.255538 | − | 4.99347i | 0.0511076 | − | 0.998693i | ||||
\(26\) | 5.25899 | + | 4.60093i | 1.03137 | + | 0.902316i | ||||
\(27\) | 3.87698 | + | 3.45963i | 0.746125 | + | 0.665806i | ||||
\(28\) | 0.621348 | − | 0.813767i | 0.117424 | − | 0.153787i | ||||
\(29\) | − | 4.76080i | − | 0.884058i | −0.897001 | − | 0.442029i | \(-0.854259\pi\) | ||
0.897001 | − | 0.442029i | \(-0.145741\pi\) | |||||||
\(30\) | −3.01821 | − | 4.57061i | −0.551046 | − | 0.834475i | ||||
\(31\) | 3.73793 | 0.671352 | 0.335676 | − | 0.941978i | \(-0.391035\pi\) | ||||
0.335676 | + | 0.941978i | \(0.391035\pi\) | |||||||
\(32\) | 1.85024 | + | 5.34571i | 0.327079 | + | 0.944997i | ||||
\(33\) | 4.42800 | + | 1.09703i | 0.770816 | + | 0.190968i | ||||
\(34\) | 4.75847 | − | 5.43906i | 0.816070 | − | 0.932791i | ||||
\(35\) | 0.0292613 | − | 1.14434i | 0.00494606 | − | 0.193428i | ||||
\(36\) | −5.63122 | − | 2.07108i | −0.938536 | − | 0.345181i | ||||
\(37\) | −2.82150 | − | 2.82150i | −0.463851 | − | 0.463851i | 0.436064 | − | 0.899915i | \(-0.356372\pi\) |
−0.899915 | + | 0.436064i | \(0.856372\pi\) | |||||||
\(38\) | −0.0633116 | − | 0.948617i | −0.0102705 | − | 0.153886i | ||||
\(39\) | 7.32901 | − | 4.41857i | 1.17358 | − | 0.707538i | ||||
\(40\) | 5.18015 | + | 3.62850i | 0.819054 | + | 0.573717i | ||||
\(41\) | − | 4.10027i | − | 0.640355i | −0.947358 | − | 0.320177i | \(-0.896257\pi\) | ||
0.947358 | − | 0.320177i | \(-0.103743\pi\) | |||||||
\(42\) | −0.717517 | − | 1.02840i | −0.110715 | − | 0.158685i | ||||
\(43\) | −7.57996 | + | 7.57996i | −1.15593 | + | 1.15593i | −0.170591 | + | 0.985342i | \(0.554568\pi\) |
−0.985342 | + | 0.170591i | \(0.945432\pi\) | |||||||
\(44\) | −5.22087 | + | 0.700010i | −0.787076 | + | 0.105530i | ||||
\(45\) | −6.45775 | + | 1.81590i | −0.962664 | + | 0.270698i | ||||
\(46\) | −6.50044 | − | 5.68704i | −0.958438 | − | 0.838508i | ||||
\(47\) | −0.987537 | − | 0.987537i | −0.144047 | − | 0.144047i | 0.631406 | − | 0.775453i | \(-0.282478\pi\) |
−0.775453 | + | 0.631406i | \(0.782478\pi\) | |||||||
\(48\) | 6.92626 | − | 0.164257i | 0.999719 | − | 0.0237085i | ||||
\(49\) | 6.73793i | 0.962561i | ||||||||
\(50\) | 7.07022 | − | 0.109683i | 0.999880 | − | 0.0155116i | ||||
\(51\) | −4.56987 | − | 7.57996i | −0.639910 | − | 1.06141i | ||||
\(52\) | −5.99698 | + | 7.85412i | −0.831631 | + | 1.08917i | ||||
\(53\) | 0.646149 | + | 0.646149i | 0.0887554 | + | 0.0887554i | 0.750091 | − | 0.661335i | \(-0.230010\pi\) |
−0.661335 | + | 0.750091i | \(0.730010\pi\) | |||||||
\(54\) | −4.51667 | + | 5.79652i | −0.614641 | + | 0.788807i | ||||
\(55\) | −4.26949 | + | 4.05659i | −0.575698 | + | 0.546990i | ||||
\(56\) | 1.20680 | + | 0.800131i | 0.161266 | + | 0.106922i | ||||
\(57\) | −1.13023 | − | 0.280012i | −0.149702 | − | 0.0370884i | ||||
\(58\) | 6.71784 | − | 0.448355i | 0.882096 | − | 0.0588719i | ||||
\(59\) | 4.92247i | 0.640851i | 0.947274 | + | 0.320425i | \(0.103826\pi\) | ||||
−0.947274 | + | 0.320425i | \(0.896174\pi\) | |||||||
\(60\) | 6.16522 | − | 4.68935i | 0.795927 | − | 0.605393i | ||||
\(61\) | 6.07190i | 0.777428i | 0.921359 | + | 0.388714i | \(0.127081\pi\) | ||||
−0.921359 | + | 0.388714i | \(0.872919\pi\) | |||||||
\(62\) | 0.352025 | + | 5.27449i | 0.0447072 | + | 0.669861i | ||||
\(63\) | −1.46734 | + | 0.453392i | −0.184868 | + | 0.0571220i | ||||
\(64\) | −7.36895 | + | 3.11426i | −0.921118 | + | 0.389283i | ||||
\(65\) | −0.282417 | + | 11.0446i | −0.0350295 | + | 1.36992i | ||||
\(66\) | −1.13097 | + | 6.35155i | −0.139213 | + | 0.781822i | ||||
\(67\) | −0.349085 | − | 0.349085i | −0.0426476 | − | 0.0426476i | 0.685461 | − | 0.728109i | \(-0.259601\pi\) |
−0.728109 | + | 0.685461i | \(0.759601\pi\) | |||||||
\(68\) | 8.12305 | + | 6.20232i | 0.985064 | + | 0.752141i | ||||
\(69\) | −9.05912 | + | 5.46164i | −1.09059 | + | 0.657504i | ||||
\(70\) | 1.61750 | − | 0.0664796i | 0.193328 | − | 0.00794584i | ||||
\(71\) | − | 8.63702i | − | 1.02503i | −0.858680 | − | 0.512513i | \(-0.828715\pi\) | ||
0.858680 | − | 0.512513i | \(-0.171285\pi\) | |||||||
\(72\) | 2.39213 | − | 8.14111i | 0.281915 | − | 0.959439i | ||||
\(73\) | −11.3261 | − | 11.3261i | −1.32562 | − | 1.32562i | −0.909152 | − | 0.416465i | \(-0.863269\pi\) |
−0.416465 | − | 0.909152i | \(-0.636731\pi\) | |||||||
\(74\) | 3.71562 | − | 4.24706i | 0.431932 | − | 0.493711i | ||||
\(75\) | 2.50949 | − | 8.28869i | 0.289771 | − | 0.957096i | ||||
\(76\) | 1.33261 | − | 0.178675i | 0.152860 | − | 0.0204954i | ||||
\(77\) | −0.953406 | + | 0.953406i | −0.108651 | + | 0.108651i | ||||
\(78\) | 6.92516 | + | 9.92565i | 0.784120 | + | 1.12386i | ||||
\(79\) | 4.07707i | 0.458706i | 0.973343 | + | 0.229353i | \(0.0736610\pi\) | ||||
−0.973343 | + | 0.229353i | \(0.926339\pi\) | |||||||
\(80\) | −4.63224 | + | 7.65130i | −0.517900 | + | 0.855441i | ||||
\(81\) | 5.07707 | + | 7.43124i | 0.564119 | + | 0.825694i | ||||
\(82\) | 5.78579 | − | 0.386149i | 0.638933 | − | 0.0426430i | ||||
\(83\) | −8.53893 | − | 8.53893i | −0.937270 | − | 0.937270i | 0.0608758 | − | 0.998145i | \(-0.480611\pi\) |
−0.998145 | + | 0.0608758i | \(0.980611\pi\) | |||||||
\(84\) | 1.38357 | − | 1.10932i | 0.150960 | − | 0.121037i | ||||
\(85\) | 11.4228 | + | 0.292087i | 1.23898 | + | 0.0316813i | ||||
\(86\) | −11.4097 | − | 9.98203i | −1.23034 | − | 1.07639i | ||||
\(87\) | 1.98296 | − | 8.00397i | 0.212596 | − | 0.858115i | ||||
\(88\) | −1.47945 | − | 7.30111i | −0.157710 | − | 0.778301i | ||||
\(89\) | 6.58584 | 0.698097 | 0.349049 | − | 0.937105i | \(-0.386505\pi\) | ||||
0.349049 | + | 0.937105i | \(0.386505\pi\) | |||||||
\(90\) | −3.17053 | − | 8.94135i | −0.334203 | − | 0.942501i | ||||
\(91\) | 2.52941i | 0.265154i | ||||||||
\(92\) | 7.41264 | − | 9.70819i | 0.772822 | − | 1.01215i | ||||
\(93\) | 6.28429 | + | 1.55692i | 0.651651 | + | 0.161445i | ||||
\(94\) | 1.30049 | − | 1.48649i | 0.134135 | − | 0.153320i | ||||
\(95\) | 1.08977 | − | 1.03543i | 0.111808 | − | 0.106233i | ||||
\(96\) | 0.884069 | + | 9.75799i | 0.0902299 | + | 0.995921i | ||||
\(97\) | −0.660859 | + | 0.660859i | −0.0671001 | + | 0.0671001i | −0.739860 | − | 0.672760i | \(-0.765108\pi\) |
0.672760 | + | 0.739860i | \(0.265108\pi\) | |||||||
\(98\) | −9.50772 | + | 0.634554i | −0.960424 | + | 0.0640996i | ||||
\(99\) | 6.98752 | + | 3.68869i | 0.702272 | + | 0.370728i | ||||
\(100\) | 0.820619 | + | 9.96627i | 0.0820619 | + | 0.996627i | ||||
\(101\) | 3.46850 | 0.345129 | 0.172564 | − | 0.984998i | \(-0.444795\pi\) | ||||
0.172564 | + | 0.984998i | \(0.444795\pi\) | |||||||
\(102\) | 10.2655 | − | 7.16228i | 1.01644 | − | 0.709171i | ||||
\(103\) | 8.68806 | + | 8.68806i | 0.856060 | + | 0.856060i | 0.990871 | − | 0.134811i | \(-0.0430428\pi\) |
−0.134811 | + | 0.990871i | \(0.543043\pi\) | |||||||
\(104\) | −11.6475 | − | 7.72251i | −1.14213 | − | 0.757254i | ||||
\(105\) | 0.525833 | − | 1.91170i | 0.0513160 | − | 0.186563i | ||||
\(106\) | −0.850913 | + | 0.972617i | −0.0826480 | + | 0.0944689i | ||||
\(107\) | −3.10967 | + | 3.10967i | −0.300623 | + | 0.300623i | −0.841258 | − | 0.540634i | \(-0.818184\pi\) |
0.540634 | + | 0.841258i | \(0.318184\pi\) | |||||||
\(108\) | −8.60469 | − | 5.82746i | −0.827987 | − | 0.560748i | ||||
\(109\) | 4.14320 | 0.396846 | 0.198423 | − | 0.980116i | \(-0.436418\pi\) | ||||
0.198423 | + | 0.980116i | \(0.436418\pi\) | |||||||
\(110\) | −6.12623 | − | 5.64253i | −0.584113 | − | 0.537994i | ||||
\(111\) | −3.56836 | − | 5.91877i | −0.338693 | − | 0.561785i | ||||
\(112\) | −1.01539 | + | 1.77824i | −0.0959455 | + | 0.168028i | ||||
\(113\) | −4.38269 | + | 4.38269i | −0.412289 | + | 0.412289i | −0.882535 | − | 0.470247i | \(-0.844165\pi\) |
0.470247 | + | 0.882535i | \(0.344165\pi\) | |||||||
\(114\) | 0.288676 | − | 1.62121i | 0.0270370 | − | 0.151840i | ||||
\(115\) | 0.349085 | − | 13.6519i | 0.0325524 | − | 1.27304i | ||||
\(116\) | 1.26532 | + | 9.43715i | 0.117482 | + | 0.876217i | ||||
\(117\) | 14.1621 | − | 4.37594i | 1.30929 | − | 0.404555i | ||||
\(118\) | −6.94597 | + | 0.463580i | −0.639428 | + | 0.0426760i | ||||
\(119\) | 2.61602 | 0.239810 | ||||||||
\(120\) | 7.19765 | + | 8.25796i | 0.657052 | + | 0.753845i | ||||
\(121\) | −4.06312 | −0.369374 | ||||||||
\(122\) | −8.56791 | + | 0.571830i | −0.775702 | + | 0.0517711i | ||||
\(123\) | 1.70784 | − | 6.89347i | 0.153991 | − | 0.621563i | ||||
\(124\) | −7.40955 | + | 0.993466i | −0.665397 | + | 0.0892159i | ||||
\(125\) | 7.27672 | + | 8.48819i | 0.650850 | + | 0.759206i | ||||
\(126\) | −0.777958 | − | 2.02783i | −0.0693060 | − | 0.180653i | ||||
\(127\) | 9.88701 | − | 9.88701i | 0.877331 | − | 0.877331i | −0.115927 | − | 0.993258i | \(-0.536984\pi\) |
0.993258 | + | 0.115927i | \(0.0369839\pi\) | |||||||
\(128\) | −5.08843 | − | 10.1048i | −0.449758 | − | 0.893150i | ||||
\(129\) | −15.9008 | + | 9.58641i | −1.39999 | + | 0.844036i | ||||
\(130\) | −15.6114 | + | 0.641632i | −1.36921 | + | 0.0562749i | ||||
\(131\) | 8.79462 | 0.768389 | 0.384195 | − | 0.923252i | \(-0.374479\pi\) | ||||
0.384195 | + | 0.923252i | \(0.374479\pi\) | |||||||
\(132\) | −9.06902 | − | 0.997721i | −0.789357 | − | 0.0868404i | ||||
\(133\) | 0.243353 | − | 0.243353i | 0.0211014 | − | 0.0211014i | ||||
\(134\) | 0.459710 | − | 0.525461i | 0.0397129 | − | 0.0453929i | ||||
\(135\) | −11.6133 | + | 0.363150i | −0.999511 | + | 0.0312550i | ||||
\(136\) | −7.98693 | + | 12.0463i | −0.684874 | + | 1.03297i | ||||
\(137\) | 1.48819 | + | 1.48819i | 0.127145 | + | 0.127145i | 0.767816 | − | 0.640671i | \(-0.221344\pi\) |
−0.640671 | + | 0.767816i | \(0.721344\pi\) | |||||||
\(138\) | −8.55993 | − | 12.2687i | −0.728670 | − | 1.04438i | ||||
\(139\) | 13.3028 | 1.12833 | 0.564164 | − | 0.825663i | \(-0.309199\pi\) | ||||
0.564164 | + | 0.825663i | \(0.309199\pi\) | |||||||
\(140\) | 0.246138 | + | 2.27615i | 0.0208025 | + | 0.192370i | ||||
\(141\) | −1.24894 | − | 2.07160i | −0.105180 | − | 0.174460i | ||||
\(142\) | 12.1875 | − | 0.813404i | 1.02275 | − | 0.0682593i | ||||
\(143\) | 9.20185 | − | 9.20185i | 0.769498 | − | 0.769498i | ||||
\(144\) | 11.7130 | + | 2.60877i | 0.976083 | + | 0.217397i | ||||
\(145\) | 7.33261 | + | 7.71744i | 0.608940 | + | 0.640899i | ||||
\(146\) | 14.9153 | − | 17.0486i | 1.23440 | − | 1.41095i | ||||
\(147\) | −2.80648 | + | 11.3280i | −0.231474 | + | 0.934314i | ||||
\(148\) | 6.34284 | + | 4.84305i | 0.521378 | + | 0.398096i | ||||
\(149\) | − | 5.22462i | − | 0.428018i | −0.976832 | − | 0.214009i | \(-0.931348\pi\) | ||
0.976832 | − | 0.214009i | \(-0.0686522\pi\) | |||||||
\(150\) | 11.9323 | + | 2.76048i | 0.974268 | + | 0.225392i | ||||
\(151\) | −11.8511 | −0.964429 | −0.482214 | − | 0.876053i | \(-0.660167\pi\) | ||||
−0.482214 | + | 0.876053i | \(0.660167\pi\) | |||||||
\(152\) | 0.377623 | + | 1.86358i | 0.0306293 | + | 0.151156i | ||||
\(153\) | −4.52577 | − | 14.6470i | −0.365887 | − | 1.18414i | ||||
\(154\) | −1.43511 | − | 1.25554i | −0.115645 | − | 0.101174i | ||||
\(155\) | −6.05933 | + | 5.75717i | −0.486697 | + | 0.462427i | ||||
\(156\) | −13.3536 | + | 10.7067i | −1.06915 | + | 0.857220i | ||||
\(157\) | −13.9522 | − | 13.9522i | −1.11351 | − | 1.11351i | −0.992673 | − | 0.120836i | \(-0.961443\pi\) |
−0.120836 | − | 0.992673i | \(-0.538557\pi\) | |||||||
\(158\) | −5.75305 | + | 0.383964i | −0.457688 | + | 0.0305465i | ||||
\(159\) | 0.817188 | + | 1.35546i | 0.0648072 | + | 0.107495i | ||||
\(160\) | −11.2328 | − | 5.81587i | −0.888030 | − | 0.459785i | ||||
\(161\) | − | 3.12651i | − | 0.246403i | ||||||
\(162\) | −10.0079 | + | 7.86397i | −0.786295 | + | 0.617852i | ||||
\(163\) | −6.66434 | + | 6.66434i | −0.521992 | + | 0.521992i | −0.918172 | − | 0.396181i | \(-0.870335\pi\) |
0.396181 | + | 0.918172i | \(0.370335\pi\) | |||||||
\(164\) | 1.08977 | + | 8.12781i | 0.0850967 | + | 0.634675i | ||||
\(165\) | −8.86761 | + | 5.04170i | −0.690342 | + | 0.392496i | ||||
\(166\) | 11.2449 | − | 12.8532i | 0.872774 | − | 0.997604i | ||||
\(167\) | 15.6456 | + | 15.6456i | 1.21069 | + | 1.21069i | 0.970800 | + | 0.239890i | \(0.0771113\pi\) |
0.239890 | + | 0.970800i | \(0.422889\pi\) | |||||||
\(168\) | 1.69563 | + | 1.84785i | 0.130821 | + | 0.142565i | ||||
\(169\) | − | 11.4127i | − | 0.877903i | ||||||
\(170\) | 0.663602 | + | 16.1459i | 0.0508960 | + | 1.23834i | ||||
\(171\) | −1.78354 | − | 0.941524i | −0.136390 | − | 0.0720001i | ||||
\(172\) | 13.0109 | − | 17.0401i | 0.992069 | − | 1.29929i | ||||
\(173\) | 6.40332 | + | 6.40332i | 0.486836 | + | 0.486836i | 0.907306 | − | 0.420471i | \(-0.138135\pi\) |
−0.420471 | + | 0.907306i | \(0.638135\pi\) | |||||||
\(174\) | 11.4809 | + | 2.04433i | 0.870368 | + | 0.154980i | ||||
\(175\) | 1.71508 | + | 1.90008i | 0.129648 | + | 0.143633i | ||||
\(176\) | 10.1631 | − | 2.77521i | 0.766071 | − | 0.209189i | ||||
\(177\) | −2.05030 | + | 8.27577i | −0.154110 | + | 0.622045i | ||||
\(178\) | 0.620231 | + | 9.29311i | 0.0464882 | + | 0.696548i | ||||
\(179\) | 0.582525i | 0.0435399i | 0.999763 | + | 0.0217700i | \(0.00693014\pi\) | ||||
−0.999763 | + | 0.0217700i | \(0.993070\pi\) | |||||||
\(180\) | 12.3183 | − | 5.31592i | 0.918153 | − | 0.396225i | ||||
\(181\) | 3.71429i | 0.276081i | 0.990427 | + | 0.138040i | \(0.0440804\pi\) | ||||
−0.990427 | + | 0.138040i | \(0.955920\pi\) | |||||||
\(182\) | −3.56918 | + | 0.238211i | −0.264565 | + | 0.0176573i | ||||
\(183\) | −2.52906 | + | 10.2082i | −0.186954 | + | 0.754614i | ||||
\(184\) | 14.3971 | + | 9.54551i | 1.06137 | + | 0.703704i | ||||
\(185\) | 8.91944 | + | 0.228075i | 0.655770 | + | 0.0167684i | ||||
\(186\) | −1.60510 | + | 9.01423i | −0.117691 | + | 0.660955i | ||||
\(187\) | −9.51693 | − | 9.51693i | −0.695947 | − | 0.695947i | ||||
\(188\) | 2.22002 | + | 1.69509i | 0.161912 | + | 0.123627i | ||||
\(189\) | −2.65577 | + | 0.151077i | −0.193179 | + | 0.0109892i | ||||
\(190\) | 1.56369 | + | 1.44023i | 0.113442 | + | 0.104485i | ||||
\(191\) | 22.4496i | 1.62440i | 0.583380 | + | 0.812199i | \(0.301730\pi\) | ||||
−0.583380 | + | 0.812199i | \(0.698270\pi\) | |||||||
\(192\) | −13.6860 | + | 2.16646i | −0.987702 | + | 0.156351i | ||||
\(193\) | 8.01395 | + | 8.01395i | 0.576857 | + | 0.576857i | 0.934036 | − | 0.357179i | \(-0.116261\pi\) |
−0.357179 | + | 0.934036i | \(0.616261\pi\) | |||||||
\(194\) | −0.994759 | − | 0.870284i | −0.0714195 | − | 0.0624828i | ||||
\(195\) | −5.07511 | + | 18.4509i | −0.363436 | + | 1.32129i | ||||
\(196\) | −1.79081 | − | 13.3563i | −0.127915 | − | 0.954024i | ||||
\(197\) | −1.49806 | + | 1.49806i | −0.106733 | + | 0.106733i | −0.758456 | − | 0.651724i | \(-0.774046\pi\) |
0.651724 | + | 0.758456i | \(0.274046\pi\) | |||||||
\(198\) | −4.54696 | + | 10.2073i | −0.323138 | + | 0.725401i | ||||
\(199\) | − | 12.6160i | − | 0.894328i | −0.894452 | − | 0.447164i | \(-0.852434\pi\) | ||
0.894452 | − | 0.447164i | \(-0.147566\pi\) | |||||||
\(200\) | −13.9859 | + | 2.09654i | −0.988950 | + | 0.148248i | ||||
\(201\) | −0.441490 | − | 0.732291i | −0.0311403 | − | 0.0516519i | ||||
\(202\) | 0.326651 | + | 4.89431i | 0.0229831 | + | 0.344363i | ||||
\(203\) | 1.72336 | + | 1.72336i | 0.120956 | + | 0.120956i | ||||
\(204\) | 11.0733 | + | 13.8109i | 0.775284 | + | 0.966955i | ||||
\(205\) | 6.31526 | + | 6.64670i | 0.441077 | + | 0.464226i | ||||
\(206\) | −11.4413 | + | 13.0777i | −0.797152 | + | 0.911167i | ||||
\(207\) | −17.5053 | + | 5.40893i | −1.21670 | + | 0.375947i | ||||
\(208\) | 9.80011 | − | 17.1628i | 0.679515 | − | 1.19003i | ||||
\(209\) | −1.77061 | −0.122476 | ||||||||
\(210\) | 2.74707 | + | 0.561952i | 0.189566 | + | 0.0387784i | ||||
\(211\) | 14.0010i | 0.963865i | 0.876208 | + | 0.481933i | \(0.160065\pi\) | ||||
−0.876208 | + | 0.481933i | \(0.839935\pi\) | |||||||
\(212\) | −1.45257 | − | 1.10910i | −0.0997630 | − | 0.0761736i | ||||
\(213\) | 3.59748 | − | 14.5208i | 0.246496 | − | 0.994946i | ||||
\(214\) | −4.68083 | − | 4.09512i | −0.319975 | − | 0.279937i | ||||
\(215\) | 0.612724 | − | 23.9621i | 0.0417874 | − | 1.63420i | ||||
\(216\) | 7.41263 | − | 12.6907i | 0.504365 | − | 0.863490i | ||||
\(217\) | −1.35309 | + | 1.35309i | −0.0918537 | + | 0.0918537i | ||||
\(218\) | 0.390192 | + | 5.84636i | 0.0264271 | + | 0.395965i | ||||
\(219\) | −14.3241 | − | 23.7592i | −0.967935 | − | 1.60550i | ||||
\(220\) | 7.38508 | − | 9.17596i | 0.497902 | − | 0.618643i | ||||
\(221\) | −25.2486 | −1.69841 | ||||||||
\(222\) | 8.01577 | − | 5.59263i | 0.537983 | − | 0.375352i | ||||
\(223\) | −2.56530 | − | 2.56530i | −0.171785 | − | 0.171785i | 0.615978 | − | 0.787763i | \(-0.288761\pi\) |
−0.787763 | + | 0.615978i | \(0.788761\pi\) | |||||||
\(224\) | −2.60486 | − | 1.26532i | −0.174044 | − | 0.0845431i | ||||
\(225\) | 7.67141 | − | 12.8899i | 0.511428 | − | 0.859326i | ||||
\(226\) | −6.59704 | − | 5.77155i | −0.438829 | − | 0.383918i | ||||
\(227\) | 13.3645 | − | 13.3645i | 0.887032 | − | 0.887032i | −0.107205 | − | 0.994237i | \(-0.534190\pi\) |
0.994237 | + | 0.107205i | \(0.0341901\pi\) | |||||||
\(228\) | 2.31483 | + | 0.254664i | 0.153303 | + | 0.0168655i | ||||
\(229\) | −15.7606 | −1.04149 | −0.520746 | − | 0.853712i | \(-0.674346\pi\) | ||||
−0.520746 | + | 0.853712i | \(0.674346\pi\) | |||||||
\(230\) | 19.2967 | − | 0.793098i | 1.27238 | − | 0.0522953i | ||||
\(231\) | −2.00000 | + | 1.20578i | −0.131590 | + | 0.0793343i | ||||
\(232\) | −13.1974 | + | 2.67422i | −0.866449 | + | 0.175571i | ||||
\(233\) | 13.0197 | − | 13.0197i | 0.852949 | − | 0.852949i | −0.137546 | − | 0.990495i | \(-0.543921\pi\) |
0.990495 | + | 0.137546i | \(0.0439215\pi\) | |||||||
\(234\) | 7.50851 | + | 19.5717i | 0.490847 | + | 1.27944i | ||||
\(235\) | 3.12185 | + | 0.0798273i | 0.203647 | + | 0.00520736i | ||||
\(236\) | −1.30829 | − | 9.75762i | −0.0851626 | − | 0.635167i | ||||
\(237\) | −1.69818 | + | 6.85446i | −0.110308 | + | 0.445245i | ||||
\(238\) | 0.246367 | + | 3.69139i | 0.0159696 | + | 0.239278i | ||||
\(239\) | −24.8336 | −1.60635 | −0.803177 | − | 0.595740i | \(-0.796859\pi\) | ||||
−0.803177 | + | 0.595740i | \(0.796859\pi\) | |||||||
\(240\) | −10.9747 | + | 10.9341i | −0.708417 | + | 0.705794i | ||||
\(241\) | 17.2991 | 1.11433 | 0.557165 | − | 0.830402i | \(-0.311889\pi\) | ||||
0.557165 | + | 0.830402i | \(0.311889\pi\) | |||||||
\(242\) | −0.382650 | − | 5.73336i | −0.0245977 | − | 0.368555i | ||||
\(243\) | 5.44043 | + | 14.6083i | 0.349004 | + | 0.937121i | ||||
\(244\) | −1.61379 | − | 12.0361i | −0.103312 | − | 0.770532i | ||||
\(245\) | −10.3778 | − | 10.9224i | −0.663013 | − | 0.697810i | ||||
\(246\) | 9.88804 | + | 1.76069i | 0.630438 | + | 0.112257i | ||||
\(247\) | −2.34874 | + | 2.34874i | −0.149446 | + | 0.149446i | ||||
\(248\) | −2.09966 | − | 10.3619i | −0.133328 | − | 0.657979i | ||||
\(249\) | −10.7992 | − | 17.9125i | −0.684373 | − | 1.13516i | ||||
\(250\) | −11.2922 | + | 11.0674i | −0.714179 | + | 0.699963i | ||||
\(251\) | 1.05032 | 0.0662958 | 0.0331479 | − | 0.999450i | \(-0.489447\pi\) | ||||
0.0331479 | + | 0.999450i | \(0.489447\pi\) | |||||||
\(252\) | 2.78815 | − | 1.28873i | 0.175637 | − | 0.0811824i | ||||
\(253\) | −11.3741 | + | 11.3741i | −0.715082 | + | 0.715082i | ||||
\(254\) | 14.8824 | + | 13.0202i | 0.933807 | + | 0.816959i | ||||
\(255\) | 19.0826 | + | 5.24888i | 1.19500 | + | 0.328698i | ||||
\(256\) | 13.7795 | − | 8.13180i | 0.861217 | − | 0.508237i | ||||
\(257\) | −2.20315 | − | 2.20315i | −0.137429 | − | 0.137429i | 0.635046 | − | 0.772474i | \(-0.280981\pi\) |
−0.772474 | + | 0.635046i | \(0.780981\pi\) | |||||||
\(258\) | −15.0246 | − | 21.5344i | −0.935392 | − | 1.34067i | ||||
\(259\) | 2.04270 | 0.126927 | ||||||||
\(260\) | −2.37562 | − | 21.9684i | −0.147329 | − | 1.36242i | ||||
\(261\) | 6.66761 | − | 12.6305i | 0.412715 | − | 0.781809i | ||||
\(262\) | 0.828245 | + | 12.4099i | 0.0511692 | + | 0.766683i | ||||
\(263\) | −7.49936 | + | 7.49936i | −0.462430 | + | 0.462430i | −0.899451 | − | 0.437021i | \(-0.856034\pi\) |
0.437021 | + | 0.899451i | \(0.356034\pi\) | |||||||
\(264\) | 0.553770 | − | 12.8910i | 0.0340822 | − | 0.793388i | ||||
\(265\) | −2.04264 | − | 0.0522313i | −0.125478 | − | 0.00320854i | ||||
\(266\) | 0.366307 | + | 0.320471i | 0.0224597 | + | 0.0196493i | ||||
\(267\) | 11.0723 | + | 2.74313i | 0.677611 | + | 0.167877i | ||||
\(268\) | 0.784759 | + | 0.599199i | 0.0479368 | + | 0.0366019i | ||||
\(269\) | − | 21.1993i | − | 1.29254i | −0.763108 | − | 0.646271i | \(-0.776327\pi\) | ||
0.763108 | − | 0.646271i | \(-0.223673\pi\) | |||||||
\(270\) | −1.60613 | − | 16.3530i | −0.0977459 | − | 0.995211i | ||||
\(271\) | −14.6748 | −0.891431 | −0.445716 | − | 0.895175i | \(-0.647051\pi\) | ||||
−0.445716 | + | 0.895175i | \(0.647051\pi\) | |||||||
\(272\) | −17.7505 | − | 10.1357i | −1.07628 | − | 0.614565i | ||||
\(273\) | −1.05355 | + | 4.25250i | −0.0637636 | + | 0.257373i | ||||
\(274\) | −1.95980 | + | 2.24010i | −0.118396 | + | 0.135330i | ||||
\(275\) | 0.673036 | − | 13.1518i | 0.0405856 | − | 0.793082i | ||||
\(276\) | 16.5060 | − | 13.2341i | 0.993542 | − | 0.796601i | ||||
\(277\) | 8.79593 | + | 8.79593i | 0.528496 | + | 0.528496i | 0.920124 | − | 0.391628i | \(-0.128088\pi\) |
−0.391628 | + | 0.920124i | \(0.628088\pi\) | |||||||
\(278\) | 1.25281 | + | 18.7712i | 0.0751384 | + | 1.12582i | ||||
\(279\) | 9.91681 | + | 5.23506i | 0.593704 | + | 0.313415i | ||||
\(280\) | −3.18864 | + | 0.561679i | −0.190558 | + | 0.0335667i | ||||
\(281\) | 0.490821i | 0.0292799i | 0.999893 | + | 0.0146399i | \(0.00466021\pi\) | ||||
−0.999893 | + | 0.0146399i | \(0.995340\pi\) | |||||||
\(282\) | 2.80556 | − | 1.95745i | 0.167069 | − | 0.116564i | ||||
\(283\) | 9.43710 | − | 9.43710i | 0.560978 | − | 0.560978i | −0.368608 | − | 0.929585i | \(-0.620165\pi\) |
0.929585 | + | 0.368608i | \(0.120165\pi\) | |||||||
\(284\) | 2.29555 | + | 17.1208i | 0.136216 | + | 1.01593i | ||||
\(285\) | 2.26342 | − | 1.28687i | 0.134073 | − | 0.0762278i | ||||
\(286\) | 13.8511 | + | 12.1179i | 0.819033 | + | 0.716547i | ||||
\(287\) | 1.48425 | + | 1.48425i | 0.0876127 | + | 0.0876127i | ||||
\(288\) | −2.57807 | + | 16.7736i | −0.151914 | + | 0.988394i | ||||
\(289\) | 9.11317i | 0.536069i | ||||||||
\(290\) | −10.1993 | + | 11.0737i | −0.598925 | + | 0.650267i | ||||
\(291\) | −1.38631 | + | 0.835791i | −0.0812671 | + | 0.0489950i | ||||
\(292\) | 25.4615 | + | 19.4410i | 1.49002 | + | 1.13770i | ||||
\(293\) | 4.01316 | + | 4.01316i | 0.234451 | + | 0.234451i | 0.814548 | − | 0.580096i | \(-0.196985\pi\) |
−0.580096 | + | 0.814548i | \(0.696985\pi\) | |||||||
\(294\) | −16.2489 | − | 2.89332i | −0.947655 | − | 0.168742i | ||||
\(295\) | −7.58161 | − | 7.97952i | −0.441418 | − | 0.464585i | ||||
\(296\) | −6.23655 | + | 9.40632i | −0.362492 | + | 0.546731i | ||||
\(297\) | 10.2112 | + | 9.11195i | 0.592512 | + | 0.528729i | ||||
\(298\) | 7.37233 | − | 0.492036i | 0.427068 | − | 0.0285029i | ||||
\(299\) | 30.1757i | 1.74510i | ||||||||
\(300\) | −2.77150 | + | 17.0973i | −0.160013 | + | 0.987115i | ||||
\(301\) | − | 5.48773i | − | 0.316307i | ||||||
\(302\) | −1.11609 | − | 16.7228i | −0.0642240 | − | 0.962288i | ||||
\(303\) | 5.83132 | + | 1.44470i | 0.335001 | + | 0.0829957i | ||||
\(304\) | −2.59409 | + | 0.708360i | −0.148781 | + | 0.0406272i | ||||
\(305\) | −9.35198 | − | 9.84280i | −0.535493 | − | 0.563597i | ||||
\(306\) | 20.2418 | − | 7.76561i | 1.15715 | − | 0.443930i | ||||
\(307\) | 8.00887 | + | 8.00887i | 0.457091 | + | 0.457091i | 0.897699 | − | 0.440609i | \(-0.145237\pi\) |
−0.440609 | + | 0.897699i | \(0.645237\pi\) | |||||||
\(308\) | 1.63650 | − | 2.14330i | 0.0932485 | − | 0.122126i | ||||
\(309\) | 10.9878 | + | 18.2253i | 0.625076 | + | 1.03680i | ||||
\(310\) | −8.69445 | − | 8.00797i | −0.493811 | − | 0.454822i | ||||
\(311\) | 12.8874i | 0.730778i | 0.930855 | + | 0.365389i | \(0.119064\pi\) | ||||
−0.930855 | + | 0.365389i | \(0.880936\pi\) | |||||||
\(312\) | −16.3655 | − | 17.8347i | −0.926515 | − | 1.00969i | ||||
\(313\) | 12.2991 | + | 12.2991i | 0.695184 | + | 0.695184i | 0.963368 | − | 0.268184i | \(-0.0864235\pi\) |
−0.268184 | + | 0.963368i | \(0.586424\pi\) | |||||||
\(314\) | 18.3736 | − | 21.0016i | 1.03688 | − | 1.18519i | ||||
\(315\) | 1.68030 | − | 2.99497i | 0.0946742 | − | 0.168747i | ||||
\(316\) | −1.08360 | − | 8.08182i | −0.0609574 | − | 0.454638i | ||||
\(317\) | −9.24176 | + | 9.24176i | −0.519069 | + | 0.519069i | −0.917290 | − | 0.398221i | \(-0.869628\pi\) |
0.398221 | + | 0.917290i | \(0.369628\pi\) | |||||||
\(318\) | −1.83569 | + | 1.28076i | −0.102940 | + | 0.0718217i | ||||
\(319\) | − | 12.5390i | − | 0.702048i | ||||||
\(320\) | 7.14876 | − | 16.3980i | 0.399628 | − | 0.916678i | ||||
\(321\) | −6.52329 | + | 3.93281i | −0.364094 | + | 0.219508i | ||||
\(322\) | 4.41174 | − | 0.294443i | 0.245856 | − | 0.0164087i | ||||
\(323\) | 2.42916 | + | 2.42916i | 0.135162 | + | 0.135162i | ||||
\(324\) | −12.0392 | − | 13.3813i | −0.668842 | − | 0.743405i | ||||
\(325\) | −16.5532 | − | 18.3388i | −0.918206 | − | 1.01725i | ||||
\(326\) | −10.0315 | − | 8.77626i | −0.555594 | − | 0.486072i | ||||
\(327\) | 6.96564 | + | 1.72572i | 0.385201 | + | 0.0954326i | ||||
\(328\) | −11.3663 | + | 2.30319i | −0.627600 | + | 0.127173i | ||||
\(329\) | 0.714956 | 0.0394168 | ||||||||
\(330\) | −7.94934 | − | 12.0380i | −0.437597 | − | 0.662672i | ||||
\(331\) | − | 22.2355i | − | 1.22218i | −0.791563 | − | 0.611088i | \(-0.790732\pi\) | ||
0.791563 | − | 0.611088i | \(-0.209268\pi\) | |||||||
\(332\) | 19.1959 | + | 14.6569i | 1.05351 | + | 0.804403i | ||||
\(333\) | −3.53392 | − | 11.4371i | −0.193658 | − | 0.626747i | ||||
\(334\) | −20.6036 | + | 23.5505i | −1.12738 | + | 1.28863i | ||||
\(335\) | 1.10354 | + | 0.0282182i | 0.0602931 | + | 0.00154173i | ||||
\(336\) | −2.44777 | + | 2.56669i | −0.133537 | + | 0.140024i | ||||
\(337\) | −8.98693 | + | 8.98693i | −0.489549 | + | 0.489549i | −0.908164 | − | 0.418615i | \(-0.862516\pi\) |
0.418615 | + | 0.908164i | \(0.362516\pi\) | |||||||
\(338\) | 16.1042 | − | 1.07481i | 0.875954 | − | 0.0584620i | ||||
\(339\) | −9.19375 | + | 5.54280i | −0.499336 | + | 0.301044i | ||||
\(340\) | −22.7206 | + | 2.45696i | −1.23220 | + | 0.133247i | ||||
\(341\) | 9.84494 | 0.533133 | ||||||||
\(342\) | 1.16059 | − | 2.60537i | 0.0627577 | − | 0.140882i | ||||
\(343\) | −4.97298 | − | 4.97298i | −0.268516 | − | 0.268516i | ||||
\(344\) | 25.2701 | + | 16.7545i | 1.36247 | + | 0.903343i | ||||
\(345\) | 6.27315 | − | 22.8064i | 0.337735 | − | 1.22786i | ||||
\(346\) | −8.43252 | + | 9.63861i | −0.453335 | + | 0.518175i | ||||
\(347\) | −9.25494 | + | 9.25494i | −0.496831 | + | 0.496831i | −0.910450 | − | 0.413619i | \(-0.864265\pi\) |
0.413619 | + | 0.910450i | \(0.364265\pi\) | |||||||
\(348\) | −1.80346 | + | 16.3930i | −0.0966756 | + | 0.878756i | ||||
\(349\) | 17.5919 | 0.941671 | 0.470835 | − | 0.882221i | \(-0.343953\pi\) | ||||
0.470835 | + | 0.882221i | \(0.343953\pi\) | |||||||
\(350\) | −2.51964 | + | 2.59905i | −0.134680 | + | 0.138925i | ||||
\(351\) | 25.6324 | − | 1.45813i | 1.36815 | − | 0.0778292i | ||||
\(352\) | 4.87314 | + | 14.0795i | 0.259739 | + | 0.750440i | ||||
\(353\) | −12.9654 | + | 12.9654i | −0.690077 | + | 0.690077i | −0.962249 | − | 0.272172i | \(-0.912258\pi\) |
0.272172 | + | 0.962249i | \(0.412258\pi\) | |||||||
\(354\) | −11.8708 | − | 2.11375i | −0.630927 | − | 0.112344i | ||||
\(355\) | 13.3028 | + | 14.0010i | 0.706038 | + | 0.743093i | ||||
\(356\) | −13.0549 | + | 1.75038i | −0.691906 | + | 0.0927701i | ||||
\(357\) | 4.39811 | + | 1.08962i | 0.232773 | + | 0.0576689i | ||||
\(358\) | −0.821985 | + | 0.0548601i | −0.0434433 | + | 0.00289945i | ||||
\(359\) | −16.5244 | −0.872125 | −0.436063 | − | 0.899916i | \(-0.643627\pi\) | ||||
−0.436063 | + | 0.899916i | \(0.643627\pi\) | |||||||
\(360\) | 8.66125 | + | 16.8814i | 0.456488 | + | 0.889729i | ||||
\(361\) | −18.5481 | −0.976214 | ||||||||
\(362\) | −5.24113 | + | 0.349798i | −0.275468 | + | 0.0183850i | ||||
\(363\) | −6.83101 | − | 1.69237i | −0.358535 | − | 0.0888262i | ||||
\(364\) | −0.672266 | − | 5.01395i | −0.0352363 | − | 0.262802i | ||||
\(365\) | 35.8045 | + | 0.915540i | 1.87409 | + | 0.0479215i | ||||
\(366\) | −14.6427 | − | 2.60732i | −0.765389 | − | 0.136287i | ||||
\(367\) | −24.4900 | + | 24.4900i | −1.27837 | + | 1.27837i | −0.336786 | + | 0.941581i | \(0.609340\pi\) |
−0.941581 | + | 0.336786i | \(0.890660\pi\) | |||||||
\(368\) | −12.1136 | + | 21.2143i | −0.631463 | + | 1.10587i | ||||
\(369\) | 5.74253 | − | 10.8781i | 0.298944 | − | 0.566292i | ||||
\(370\) | 0.518170 | + | 12.6075i | 0.0269384 | + | 0.655431i | ||||
\(371\) | −0.467798 | −0.0242869 | ||||||||
\(372\) | −12.8709 | − | 1.41598i | −0.667325 | − | 0.0734152i | ||||
\(373\) | 0.406084 | − | 0.406084i | 0.0210262 | − | 0.0210262i | −0.696516 | − | 0.717542i | \(-0.745267\pi\) |
0.717542 | + | 0.696516i | \(0.245267\pi\) | |||||||
\(374\) | 12.5328 | − | 14.3254i | 0.648057 | − | 0.740747i | ||||
\(375\) | 8.69830 | + | 17.3014i | 0.449178 | + | 0.893442i | ||||
\(376\) | −2.18282 | + | 3.29226i | −0.112571 | + | 0.169785i | ||||
\(377\) | −16.6331 | − | 16.6331i | −0.856648 | − | 0.856648i | ||||
\(378\) | −0.463292 | − | 3.73327i | −0.0238292 | − | 0.192018i | ||||
\(379\) | 5.73108 | 0.294386 | 0.147193 | − | 0.989108i | \(-0.452976\pi\) | ||||
0.147193 | + | 0.989108i | \(0.452976\pi\) | |||||||
\(380\) | −1.88501 | + | 2.34213i | −0.0966991 | + | 0.120149i | ||||
\(381\) | 20.7404 | − | 12.5041i | 1.06256 | − | 0.640607i | ||||
\(382\) | −31.6781 | + | 2.11423i | −1.62079 | + | 0.108173i | ||||
\(383\) | 17.2603 | − | 17.2603i | 0.881958 | − | 0.881958i | −0.111775 | − | 0.993734i | \(-0.535654\pi\) |
0.993734 | + | 0.111775i | \(0.0356537\pi\) | |||||||
\(384\) | −4.34593 | − | 19.1079i | −0.221777 | − | 0.975097i | ||||
\(385\) | 0.0770683 | − | 3.01395i | 0.00392776 | − | 0.153605i | ||||
\(386\) | −10.5536 | + | 12.0630i | −0.537162 | + | 0.613991i | ||||
\(387\) | −30.7257 | + | 9.49390i | −1.56188 | + | 0.482602i | ||||
\(388\) | 1.13435 | − | 1.48564i | 0.0575880 | − | 0.0754219i | ||||
\(389\) | 27.9300i | 1.41611i | 0.706159 | + | 0.708053i | \(0.250426\pi\) | ||||
−0.706159 | + | 0.708053i | \(0.749574\pi\) | |||||||
\(390\) | −26.5135 | − | 5.42372i | −1.34256 | − | 0.274641i | ||||
\(391\) | 31.2089 | 1.57830 | ||||||||
\(392\) | 18.6781 | − | 3.78481i | 0.943388 | − | 0.191162i | ||||
\(393\) | 14.7857 | + | 3.66313i | 0.745841 | + | 0.184780i | ||||
\(394\) | −2.25496 | − | 1.97280i | −0.113603 | − | 0.0993881i | ||||
\(395\) | −6.27952 | − | 6.60909i | −0.315957 | − | 0.332539i | ||||
\(396\) | −14.8315 | − | 5.45481i | −0.745310 | − | 0.274115i | ||||
\(397\) | 3.16232 | + | 3.16232i | 0.158712 | + | 0.158712i | 0.781996 | − | 0.623284i | \(-0.214202\pi\) |
−0.623284 | + | 0.781996i | \(0.714202\pi\) | |||||||
\(398\) | 17.8022 | − | 1.18813i | 0.892342 | − | 0.0595558i | ||||
\(399\) | 0.510492 | − | 0.307770i | 0.0255566 | − | 0.0154077i | ||||
\(400\) | −4.27552 | − | 19.5377i | −0.213776 | − | 0.976883i | ||||
\(401\) | 11.2530i | 0.561950i | 0.959715 | + | 0.280975i | \(0.0906578\pi\) | ||||
−0.959715 | + | 0.280975i | \(0.909342\pi\) | |||||||
\(402\) | 0.991740 | − | 0.691940i | 0.0494635 | − | 0.0345108i | ||||
\(403\) | 13.0594 | − | 13.0594i | 0.650536 | − | 0.650536i | ||||
\(404\) | −6.87548 | + | 0.921858i | −0.342068 | + | 0.0458641i | ||||
\(405\) | −19.6758 | − | 4.22661i | −0.977697 | − | 0.210022i | ||||
\(406\) | −2.26949 | + | 2.59409i | −0.112633 | + | 0.128742i | ||||
\(407\) | −7.43124 | − | 7.43124i | −0.368353 | − | 0.368353i | ||||
\(408\) | −18.4453 | + | 16.9259i | −0.913181 | + | 0.837956i | ||||
\(409\) | 5.05965i | 0.250183i | 0.992145 | + | 0.125092i | \(0.0399225\pi\) | ||||
−0.992145 | + | 0.125092i | \(0.960077\pi\) | |||||||
\(410\) | −8.78424 | + | 9.53726i | −0.433823 | + | 0.471012i | ||||
\(411\) | 1.88212 | + | 3.12185i | 0.0928384 | + | 0.153989i | ||||
\(412\) | −19.5311 | − | 14.9129i | −0.962229 | − | 0.734706i | ||||
\(413\) | −1.78188 | − | 1.78188i | −0.0876806 | − | 0.0876806i | ||||
\(414\) | −9.28099 | − | 24.1919i | −0.456136 | − | 1.18897i | ||||
\(415\) | 26.9937 | + | 0.690242i | 1.32507 | + | 0.0338826i | ||||
\(416\) | 25.1409 | + | 12.2124i | 1.23264 | + | 0.598760i | ||||
\(417\) | 22.3649 | + | 5.54086i | 1.09522 | + | 0.271337i | ||||
\(418\) | −0.166750 | − | 2.49846i | −0.00815600 | − | 0.122204i | ||||
\(419\) | − | 25.1822i | − | 1.23023i | −0.788436 | − | 0.615116i | \(-0.789109\pi\) | ||
0.788436 | − | 0.615116i | \(-0.210891\pi\) | |||||||
\(420\) | −0.534248 | + | 3.92924i | −0.0260686 | + | 0.191727i | ||||
\(421\) | 31.5091i | 1.53566i | 0.640654 | + | 0.767830i | \(0.278664\pi\) | ||||
−0.640654 | + | 0.767830i | \(0.721336\pi\) | |||||||
\(422\) | −19.7564 | + | 1.31856i | −0.961726 | + | 0.0641865i | ||||
\(423\) | −1.23689 | − | 4.00303i | −0.0601397 | − | 0.194634i | ||||
\(424\) | 1.42823 | − | 2.15414i | 0.0693610 | − | 0.104614i | ||||
\(425\) | −18.9667 | + | 17.1200i | −0.920020 | + | 0.830441i | ||||
\(426\) | 20.8287 | + | 3.70880i | 1.00915 | + | 0.179692i | ||||
\(427\) | −2.19796 | − | 2.19796i | −0.106367 | − | 0.106367i | ||||
\(428\) | 5.33769 | − | 6.99067i | 0.258007 | − | 0.337907i | ||||
\(429\) | 19.3031 | − | 11.6376i | 0.931963 | − | 0.561870i | ||||
\(430\) | 33.8700 | − | 1.39207i | 1.63336 | − | 0.0671314i | ||||
\(431\) | − | 13.6082i | − | 0.655482i | −0.944768 | − | 0.327741i | \(-0.893713\pi\) | ||
0.944768 | − | 0.327741i | \(-0.106287\pi\) | |||||||
\(432\) | 18.6056 | + | 9.26461i | 0.895161 | + | 0.445744i | ||||
\(433\) | 2.81500 | + | 2.81500i | 0.135280 | + | 0.135280i | 0.771504 | − | 0.636224i | \(-0.219505\pi\) |
−0.636224 | + | 0.771504i | \(0.719505\pi\) | |||||||
\(434\) | −2.03674 | − | 1.78188i | −0.0977666 | − | 0.0855330i | ||||
\(435\) | 9.11329 | + | 16.0289i | 0.436949 | + | 0.768528i | ||||
\(436\) | −8.21290 | + | 1.10118i | −0.393327 | + | 0.0527369i | ||||
\(437\) | 2.90319 | − | 2.90319i | 0.138878 | − | 0.138878i | ||||
\(438\) | 32.1770 | − | 22.4500i | 1.53748 | − | 1.07270i | ||||
\(439\) | 5.56599i | 0.265650i | 0.991139 | + | 0.132825i | \(0.0424049\pi\) | ||||
−0.991139 | + | 0.132825i | \(0.957595\pi\) | |||||||
\(440\) | 13.6435 | + | 9.55674i | 0.650426 | + | 0.455600i | ||||
\(441\) | −9.43663 | + | 17.8759i | −0.449363 | + | 0.851232i | ||||
\(442\) | −2.37783 | − | 35.6277i | −0.113102 | − | 1.69464i | ||||
\(443\) | 3.53450 | + | 3.53450i | 0.167929 | + | 0.167929i | 0.786069 | − | 0.618139i | \(-0.212113\pi\) |
−0.618139 | + | 0.786069i | \(0.712113\pi\) | |||||||
\(444\) | 8.64651 | + | 10.7842i | 0.410345 | + | 0.511793i | ||||
\(445\) | −10.6759 | + | 10.1435i | −0.506086 | + | 0.480850i | ||||
\(446\) | 3.37823 | − | 3.86141i | 0.159964 | − | 0.182843i | ||||
\(447\) | 2.17616 | − | 8.78376i | 0.102929 | − | 0.415458i | ||||
\(448\) | 1.54015 | − | 3.79481i | 0.0727653 | − | 0.179288i | ||||
\(449\) | 21.1895 | 0.999995 | 0.499998 | − | 0.866027i | \(-0.333334\pi\) | ||||
0.499998 | + | 0.866027i | \(0.333334\pi\) | |||||||
\(450\) | 18.9111 | + | 9.61101i | 0.891476 | + | 0.453067i | ||||
\(451\) | − | 10.7993i | − | 0.508518i | ||||||
\(452\) | 7.52280 | − | 9.85246i | 0.353843 | − | 0.463421i | ||||
\(453\) | −19.9243 | − | 4.93621i | −0.936127 | − | 0.231923i | ||||
\(454\) | 20.1169 | + | 17.5997i | 0.944133 | + | 0.825993i | ||||
\(455\) | −3.89581 | − | 4.10027i | −0.182638 | − | 0.192224i | ||||
\(456\) | −0.141348 | + | 3.29038i | −0.00661921 | + | 0.154086i | ||||
\(457\) | 16.8790 | − | 16.8790i | 0.789566 | − | 0.789566i | −0.191857 | − | 0.981423i | \(-0.561451\pi\) |
0.981423 | + | 0.191857i | \(0.0614509\pi\) | |||||||
\(458\) | −1.48428 | − | 22.2394i | −0.0693558 | − | 1.03918i | ||||
\(459\) | −1.50806 | − | 26.5100i | −0.0703901 | − | 1.23738i | ||||
\(460\) | 2.93641 | + | 27.1543i | 0.136911 | + | 1.26608i | ||||
\(461\) | −3.58886 | −0.167150 | −0.0835749 | − | 0.996502i | \(-0.526634\pi\) | ||||
−0.0835749 | + | 0.996502i | \(0.526634\pi\) | |||||||
\(462\) | −1.88979 | − | 2.70859i | −0.0879211 | − | 0.126015i | ||||
\(463\) | −26.4996 | − | 26.4996i | −1.23154 | − | 1.23154i | −0.963372 | − | 0.268168i | \(-0.913582\pi\) |
−0.268168 | − | 0.963372i | \(-0.586418\pi\) | |||||||
\(464\) | −5.01641 | − | 18.3706i | −0.232881 | − | 0.852834i | ||||
\(465\) | −12.5851 | + | 7.15527i | −0.583618 | + | 0.331818i | ||||
\(466\) | 19.5979 | + | 17.1456i | 0.907856 | + | 0.794256i | ||||
\(467\) | 21.1839 | − | 21.1839i | 0.980274 | − | 0.980274i | −0.0195348 | − | 0.999809i | \(-0.506219\pi\) |
0.999809 | + | 0.0195348i | \(0.00621850\pi\) | |||||||
\(468\) | −26.9100 | + | 12.4383i | −1.24392 | + | 0.574959i | ||||
\(469\) | 0.252730 | 0.0116700 | ||||||||
\(470\) | 0.181362 | + | 4.41268i | 0.00836561 | + | 0.203542i | ||||
\(471\) | −17.6454 | − | 29.2682i | −0.813058 | − | 1.34861i | ||||
\(472\) | 13.6455 | − | 2.76504i | 0.628086 | − | 0.127271i | ||||
\(473\) | −19.9641 | + | 19.9641i | −0.917949 | + | 0.917949i | ||||
\(474\) | −9.83208 | − | 1.75073i | −0.451603 | − | 0.0804135i | ||||
\(475\) | −0.171790 | + | 3.35694i | −0.00788225 | + | 0.154027i | ||||
\(476\) | −5.18563 | + | 0.695284i | −0.237683 | + | 0.0318683i | ||||
\(477\) | 0.809302 | + | 2.61920i | 0.0370554 | + | 0.119925i | ||||
\(478\) | −2.33874 | − | 35.0421i | −0.106972 | − | 1.60279i | ||||
\(479\) | 2.58847 | 0.118270 | 0.0591350 | − | 0.998250i | \(-0.481166\pi\) | ||||
0.0591350 | + | 0.998250i | \(0.481166\pi\) | |||||||
\(480\) | −16.4624 | − | 14.4564i | −0.751403 | − | 0.659843i | ||||
\(481\) | −19.7153 | −0.898939 | ||||||||
\(482\) | 1.62916 | + | 24.4103i | 0.0742063 | + | 1.11186i | ||||
\(483\) | 1.30225 | − | 5.25636i | 0.0592545 | − | 0.239173i | ||||
\(484\) | 8.05417 | − | 1.07990i | 0.366098 | − | 0.0490861i | ||||
\(485\) | 0.0534204 | − | 2.08914i | 0.00242569 | − | 0.0948628i | ||||
\(486\) | −20.1010 | + | 9.05261i | −0.911800 | + | 0.410635i | ||||
\(487\) | 8.29975 | − | 8.29975i | 0.376098 | − | 0.376098i | −0.493595 | − | 0.869692i | \(-0.664317\pi\) |
0.869692 | + | 0.493595i | \(0.164317\pi\) | |||||||
\(488\) | 16.8319 | − | 3.41069i | 0.761942 | − | 0.154395i | ||||
\(489\) | −13.9801 | + | 8.42842i | −0.632201 | + | 0.381146i | ||||
\(490\) | 14.4350 | − | 15.6725i | 0.652109 | − | 0.708010i | ||||
\(491\) | −25.3703 | −1.14494 | −0.572472 | − | 0.819924i | \(-0.694015\pi\) | ||||
−0.572472 | + | 0.819924i | \(0.694015\pi\) | |||||||
\(492\) | −1.55324 | + | 14.1186i | −0.0700256 | + | 0.636514i | ||||
\(493\) | −17.2026 | + | 17.2026i | −0.774767 | + | 0.774767i | ||||
\(494\) | −3.53544 | − | 3.09305i | −0.159067 | − | 0.139163i | ||||
\(495\) | −17.0084 | + | 4.78270i | −0.764470 | + | 0.214966i | ||||
\(496\) | 14.4236 | − | 3.93862i | 0.647640 | − | 0.176849i | ||||
\(497\) | 3.12651 | + | 3.12651i | 0.140243 | + | 0.140243i | ||||
\(498\) | 24.2588 | − | 16.9254i | 1.08706 | − | 0.758447i | ||||
\(499\) | −28.6742 | −1.28363 | −0.641816 | − | 0.766859i | \(-0.721819\pi\) | ||||
−0.641816 | + | 0.766859i | \(0.721819\pi\) | |||||||
\(500\) | −16.6804 | − | 14.8918i | −0.745968 | − | 0.665982i | ||||
\(501\) | 19.7870 | + | 32.8204i | 0.884018 | + | 1.46631i | ||||
\(502\) | 0.0989156 | + | 1.48208i | 0.00441482 | + | 0.0661486i | ||||
\(503\) | 5.46994 | − | 5.46994i | 0.243893 | − | 0.243893i | −0.574566 | − | 0.818458i | \(-0.694829\pi\) |
0.818458 | + | 0.574566i | \(0.194829\pi\) | |||||||
\(504\) | 2.08107 | + | 3.81292i | 0.0926983 | + | 0.169841i | ||||
\(505\) | −5.62258 | + | 5.34220i | −0.250201 | + | 0.237725i | ||||
\(506\) | −17.1208 | − | 14.9785i | −0.761114 | − | 0.665875i | ||||
\(507\) | 4.75362 | − | 19.1874i | 0.211116 | − | 0.852140i | ||||
\(508\) | −16.9709 | + | 22.2264i | −0.752961 | + | 0.986138i | ||||
\(509\) | − | 21.6722i | − | 0.960605i | −0.877103 | − | 0.480303i | \(-0.840527\pi\) | ||
0.877103 | − | 0.480303i | \(-0.159473\pi\) | |||||||
\(510\) | −5.60943 | + | 27.4213i | −0.248390 | + | 1.21424i | ||||
\(511\) | 8.19983 | 0.362739 | ||||||||
\(512\) | 12.7723 | + | 18.6780i | 0.564460 | + | 0.825460i | ||||
\(513\) | −2.60636 | − | 2.32579i | −0.115074 | − | 0.102686i | ||||
\(514\) | 2.90132 | − | 3.31629i | 0.127972 | − | 0.146275i | ||||
\(515\) | −27.4651 | − | 0.702297i | −1.21026 | − | 0.0309469i | ||||
\(516\) | 28.9717 | − | 23.2289i | 1.27541 | − | 1.02259i | ||||
\(517\) | −2.60097 | − | 2.60097i | −0.114391 | − | 0.114391i | ||||
\(518\) | 0.192374 | + | 2.88240i | 0.00845244 | + | 0.126646i | ||||
\(519\) | 8.09831 | + | 13.4325i | 0.355476 | + | 0.589622i | ||||
\(520\) | 30.7753 | − | 5.42108i | 1.34959 | − | 0.237730i | ||||
\(521\) | − | 13.0236i | − | 0.570576i | −0.958442 | − | 0.285288i | \(-0.907911\pi\) | ||
0.958442 | − | 0.285288i | \(-0.0920893\pi\) | |||||||
\(522\) | 18.4505 | + | 8.21900i | 0.807558 | + | 0.359736i | ||||
\(523\) | 1.57962 | − | 1.57962i | 0.0690720 | − | 0.0690720i | −0.671727 | − | 0.740799i | \(-0.734447\pi\) |
0.740799 | + | 0.671727i | \(0.234447\pi\) | |||||||
\(524\) | −17.4332 | + | 2.33743i | −0.761574 | + | 0.102111i | ||||
\(525\) | 2.09201 | + | 3.90883i | 0.0913028 | + | 0.170595i | ||||
\(526\) | −11.2884 | − | 9.87589i | −0.492198 | − | 0.430609i | ||||
\(527\) | −13.5066 | − | 13.5066i | −0.588356 | − | 0.588356i | ||||
\(528\) | 18.2423 | − | 0.432619i | 0.793896 | − | 0.0188273i | ||||
\(529\) | − | 14.2991i | − | 0.621698i | ||||||
\(530\) | −0.118666 | − | 2.88723i | −0.00515452 | − | 0.125413i | ||||
\(531\) | −6.89403 | + | 13.0594i | −0.299176 | + | 0.566731i | ||||
\(532\) | −0.417711 | + | 0.547068i | −0.0181101 | + | 0.0237184i | ||||
\(533\) | −14.3254 | − | 14.3254i | −0.620501 | − | 0.620501i | ||||
\(534\) | −2.82801 | + | 15.8821i | −0.122380 | + | 0.687287i | ||||
\(535\) | 0.251369 | − | 9.83043i | 0.0108676 | − | 0.425007i | ||||
\(536\) | −0.771608 | + | 1.16378i | −0.0333284 | + | 0.0502678i | ||||
\(537\) | −0.242633 | + | 0.979354i | −0.0104704 | + | 0.0422622i | ||||
\(538\) | 29.9137 | − | 1.99647i | 1.28967 | − | 0.0860740i | ||||
\(539\) | 17.7463i | 0.764388i | ||||||||
\(540\) | 22.9240 | − | 3.80643i | 0.986493 | − | 0.163803i | ||||
\(541\) | − | 38.6062i | − | 1.65981i | −0.557903 | − | 0.829906i | \(-0.688394\pi\) | ||
0.557903 | − | 0.829906i | \(-0.311606\pi\) | |||||||
\(542\) | −1.38202 | − | 20.7072i | −0.0593629 | − | 0.889452i | ||||
\(543\) | −1.54707 | + | 6.24454i | −0.0663912 | + | 0.267979i | ||||
\(544\) | 12.6305 | − | 26.0018i | 0.541529 | − | 1.11482i | ||||
\(545\) | −6.71629 | + | 6.38137i | −0.287694 | + | 0.273348i | ||||
\(546\) | −6.09981 | − | 1.08615i | −0.261048 | − | 0.0464828i | ||||
\(547\) | −16.8276 | − | 16.8276i | −0.719498 | − | 0.719498i | 0.249005 | − | 0.968502i | \(-0.419897\pi\) |
−0.968502 | + | 0.249005i | \(0.919897\pi\) | |||||||
\(548\) | −3.34552 | − | 2.55446i | −0.142914 | − | 0.109121i | ||||
\(549\) | −8.50384 | + | 16.1089i | −0.362935 | + | 0.687511i | ||||
\(550\) | 18.6215 | − | 0.288883i | 0.794024 | − | 0.0123180i | ||||
\(551\) | 3.20052i | 0.136347i | ||||||||
\(552\) | 20.2288 | + | 22.0448i | 0.860995 | + | 0.938288i | ||||
\(553\) | −1.47586 | − | 1.47586i | −0.0627597 | − | 0.0627597i | ||||
\(554\) | −11.5833 | + | 13.2401i | −0.492129 | + | 0.562517i | ||||
\(555\) | 14.9006 | + | 4.09856i | 0.632494 | + | 0.173974i | ||||
\(556\) | −26.3696 | + | 3.53561i | −1.11832 | + | 0.149943i | ||||
\(557\) | −15.9467 | + | 15.9467i | −0.675684 | + | 0.675684i | −0.959020 | − | 0.283337i | \(-0.908559\pi\) |
0.283337 | + | 0.959020i | \(0.408559\pi\) | |||||||
\(558\) | −6.45312 | + | 14.4864i | −0.273182 | + | 0.613257i | ||||
\(559\) | 52.9651i | 2.24019i | ||||||||
\(560\) | −1.09287 | − | 4.44651i | −0.0461820 | − | 0.187899i | ||||
\(561\) | −12.0361 | − | 19.9641i | −0.508165 | − | 0.842884i | ||||
\(562\) | −0.692584 | + | 0.0462237i | −0.0292149 | + | 0.00194983i | ||||
\(563\) | 2.27954 | + | 2.27954i | 0.0960712 | + | 0.0960712i | 0.753509 | − | 0.657438i | \(-0.228360\pi\) |
−0.657438 | + | 0.753509i | \(0.728360\pi\) | |||||||
\(564\) | 3.02632 | + | 3.77451i | 0.127431 | + | 0.158935i | ||||
\(565\) | 0.354273 | − | 13.8547i | 0.0149044 | − | 0.582874i | ||||
\(566\) | 14.2052 | + | 12.4277i | 0.597089 | + | 0.522375i | ||||
\(567\) | −4.52787 | − | 0.852186i | −0.190153 | − | 0.0357885i | ||||
\(568\) | −23.9426 | + | 4.85156i | −1.00461 | + | 0.203567i | ||||
\(569\) | 38.0835 | 1.59654 | 0.798272 | − | 0.602297i | \(-0.205748\pi\) | ||||
0.798272 | + | 0.602297i | \(0.205748\pi\) | |||||||
\(570\) | 2.02904 | + | 3.07266i | 0.0849870 | + | 0.128700i | ||||
\(571\) | 39.4382i | 1.65044i | 0.564815 | + | 0.825218i | \(0.308948\pi\) | ||||
−0.564815 | + | 0.825218i | \(0.691052\pi\) | |||||||
\(572\) | −15.7948 | + | 20.6861i | −0.660414 | + | 0.864931i | ||||
\(573\) | −9.35070 | + | 37.7429i | −0.390631 | + | 1.57673i | ||||
\(574\) | −1.95461 | + | 2.23417i | −0.0815839 | + | 0.0932526i | ||||
\(575\) | 20.4608 | + | 22.6679i | 0.853274 | + | 0.945316i | ||||
\(576\) | −23.9116 | − | 2.05818i | −0.996316 | − | 0.0857574i | ||||
\(577\) | 15.6617 | − | 15.6617i | 0.652007 | − | 0.652007i | −0.301469 | − | 0.953476i | \(-0.597477\pi\) |
0.953476 | + | 0.301469i | \(0.0974770\pi\) | |||||||
\(578\) | −12.8594 | + | 0.858246i | −0.534879 | + | 0.0356983i | ||||
\(579\) | 10.1353 | + | 16.8112i | 0.421208 | + | 0.698650i | ||||
\(580\) | −16.5863 | − | 13.3491i | −0.688708 | − | 0.554293i | ||||
\(581\) | 6.18200 | 0.256473 | ||||||||
\(582\) | −1.30992 | − | 1.87748i | −0.0542980 | − | 0.0778240i | ||||
\(583\) | 1.70183 | + | 1.70183i | 0.0704824 | + | 0.0704824i | ||||
\(584\) | −25.0348 | + | 37.7589i | −1.03595 | + | 1.56248i | ||||
\(585\) | −16.2175 | + | 28.9061i | −0.670512 | + | 1.19512i | ||||
\(586\) | −5.28492 | + | 6.04081i | −0.218318 | + | 0.249544i | ||||
\(587\) | 8.03380 | − | 8.03380i | 0.331590 | − | 0.331590i | −0.521600 | − | 0.853190i | \(-0.674665\pi\) |
0.853190 | + | 0.521600i | \(0.174665\pi\) | |||||||
\(588\) | 2.55243 | − | 23.2009i | 0.105260 | − | 0.956788i | ||||
\(589\) | −2.51288 | −0.103541 | ||||||||
\(590\) | 10.5457 | − | 11.4497i | 0.434159 | − | 0.471377i | ||||
\(591\) | −3.14255 | + | 1.89461i | −0.129267 | + | 0.0779338i | ||||
\(592\) | −13.8604 | − | 7.91438i | −0.569657 | − | 0.325279i | ||||
\(593\) | 15.7097 | − | 15.7097i | 0.645122 | − | 0.645122i | −0.306688 | − | 0.951810i | \(-0.599221\pi\) |
0.951810 | + | 0.306688i | \(0.0992209\pi\) | |||||||
\(594\) | −11.8960 | + | 15.2669i | −0.488098 | + | 0.626407i | ||||
\(595\) | −4.24067 | + | 4.02920i | −0.173850 | + | 0.165181i | ||||
\(596\) | 1.38860 | + | 10.3566i | 0.0568793 | + | 0.424222i | ||||
\(597\) | 5.25482 | − | 21.2104i | 0.215066 | − | 0.868083i | ||||
\(598\) | −42.5801 | + | 2.84184i | −1.74123 | + | 0.116211i | ||||
\(599\) | 16.2242 | 0.662902 | 0.331451 | − | 0.943473i | \(-0.392462\pi\) | ||||
0.331451 | + | 0.943473i | \(0.392462\pi\) | |||||||
\(600\) | −24.3866 | − | 2.30063i | −0.995579 | − | 0.0939227i | ||||
\(601\) | 30.2446 | 1.23370 | 0.616852 | − | 0.787079i | \(-0.288408\pi\) | ||||
0.616852 | + | 0.787079i | \(0.288408\pi\) | |||||||
\(602\) | 7.74359 | − | 0.516815i | 0.315605 | − | 0.0210638i | ||||
\(603\) | −0.437230 | − | 1.41503i | −0.0178054 | − | 0.0576247i | ||||
\(604\) | 23.4920 | − | 3.14978i | 0.955875 | − | 0.128163i | ||||
\(605\) | 6.58648 | − | 6.25804i | 0.267778 | − | 0.254425i | ||||
\(606\) | −1.48940 | + | 8.36449i | −0.0605028 | + | 0.339784i | ||||
\(607\) | 26.6799 | − | 26.6799i | 1.08290 | − | 1.08290i | 0.0866645 | − | 0.996238i | \(-0.472379\pi\) |
0.996238 | − | 0.0866645i | \(-0.0276208\pi\) | |||||||
\(608\) | −1.24385 | − | 3.59374i | −0.0504448 | − | 0.145745i | ||||
\(609\) | 2.17954 | + | 3.61516i | 0.0883194 | + | 0.146494i | ||||
\(610\) | 13.0082 | − | 14.1233i | 0.526686 | − | 0.571835i | ||||
\(611\) | −6.90044 | −0.279162 | ||||||||
\(612\) | 12.8642 | + | 27.8314i | 0.520003 | + | 1.12502i | ||||
\(613\) | 11.2416 | − | 11.2416i | 0.454046 | − | 0.454046i | −0.442649 | − | 0.896695i | \(-0.645961\pi\) |
0.896695 | + | 0.442649i | \(0.145961\pi\) | |||||||
\(614\) | −10.5469 | + | 12.0554i | −0.425637 | + | 0.486515i | ||||
\(615\) | 7.84888 | + | 13.8050i | 0.316497 | + | 0.556672i | ||||
\(616\) | 3.17847 | + | 2.10738i | 0.128064 | + | 0.0849088i | ||||
\(617\) | 15.8402 | + | 15.8402i | 0.637702 | + | 0.637702i | 0.949988 | − | 0.312286i | \(-0.101095\pi\) |
−0.312286 | + | 0.949988i | \(0.601095\pi\) | |||||||
\(618\) | −24.6825 | + | 17.2210i | −0.992875 | + | 0.692732i | ||||
\(619\) | −39.2267 | −1.57665 | −0.788327 | − | 0.615256i | \(-0.789052\pi\) | ||||
−0.788327 | + | 0.615256i | \(0.789052\pi\) | |||||||
\(620\) | 10.4810 | − | 13.0227i | 0.420928 | − | 0.523003i | ||||
\(621\) | −31.6832 | + | 1.80234i | −1.27140 | + | 0.0723254i | ||||
\(622\) | −18.1851 | + | 1.21369i | −0.729156 | + | 0.0486645i | ||||
\(623\) | −2.38400 | + | 2.38400i | −0.0955130 | + | 0.0955130i | ||||
\(624\) | 23.6248 | − | 24.7726i | 0.945749 | − | 0.991696i | ||||
\(625\) | −24.8694 | − | 2.55204i | −0.994776 | − | 0.102082i | ||||
\(626\) | −16.1966 | + | 18.5132i | −0.647346 | + | 0.739935i | ||||
\(627\) | −2.97679 | − | 0.737493i | −0.118882 | − | 0.0294526i | ||||
\(628\) | 31.3652 | + | 23.9487i | 1.25161 | + | 0.955658i | ||||
\(629\) | 20.3903i | 0.813016i | ||||||||
\(630\) | 4.38437 | + | 2.08897i | 0.174678 | + | 0.0832267i | ||||
\(631\) | 9.52029 | 0.378997 | 0.189498 | − | 0.981881i | \(-0.439314\pi\) | ||||
0.189498 | + | 0.981881i | \(0.439314\pi\) | |||||||
\(632\) | 11.3020 | − | 2.29016i | 0.449569 | − | 0.0910977i | ||||
\(633\) | −5.83166 | + | 23.5387i | −0.231788 | + | 0.935580i | ||||
\(634\) | −13.9112 | − | 12.1705i | −0.552483 | − | 0.483350i | ||||
\(635\) | −0.799214 | + | 31.2553i | −0.0317158 | + | 1.24033i | ||||
\(636\) | −1.98013 | − | 2.46967i | −0.0785174 | − | 0.0979290i | ||||
\(637\) | 23.5407 | + | 23.5407i | 0.932717 | + | 0.932717i | ||||
\(638\) | 17.6934 | − | 1.18088i | 0.700489 | − | 0.0467513i | ||||
\(639\) | 12.0963 | − | 22.9142i | 0.478524 | − | 0.906472i | ||||
\(640\) | 23.8121 | + | 8.54312i | 0.941255 | + | 0.337696i | ||||
\(641\) | − | 42.2578i | − | 1.66908i | −0.550945 | − | 0.834541i | \(-0.685733\pi\) | ||
0.550945 | − | 0.834541i | \(-0.314267\pi\) | |||||||
\(642\) | −6.16383 | − | 8.83447i | −0.243267 | − | 0.348669i | ||||
\(643\) | 15.1060 | − | 15.1060i | 0.595722 | − | 0.595722i | −0.343449 | − | 0.939171i | \(-0.611595\pi\) |
0.939171 | + | 0.343449i | \(0.111595\pi\) | |||||||
\(644\) | 0.830963 | + | 6.19756i | 0.0327445 | + | 0.244218i | ||||
\(645\) | 11.0108 | − | 40.0304i | 0.433550 | − | 1.57620i | ||||
\(646\) | −3.19895 | + | 3.65649i | −0.125861 | + | 0.143863i | ||||
\(647\) | 11.1088 | + | 11.1088i | 0.436732 | + | 0.436732i | 0.890911 | − | 0.454178i | \(-0.150067\pi\) |
−0.454178 | + | 0.890911i | \(0.650067\pi\) | |||||||
\(648\) | 17.7482 | − | 18.2483i | 0.697215 | − | 0.716863i | ||||
\(649\) | 12.9648i | 0.508912i | ||||||||
\(650\) | 24.3184 | − | 25.0849i | 0.953848 | − | 0.983909i | ||||
\(651\) | −2.83843 | + | 1.71126i | −0.111247 | + | 0.0670695i | ||||
\(652\) | 11.4392 | − | 14.9817i | 0.447995 | − | 0.586729i | ||||
\(653\) | 15.4673 | + | 15.4673i | 0.605283 | + | 0.605283i | 0.941710 | − | 0.336426i | \(-0.109218\pi\) |
−0.336426 | + | 0.941710i | \(0.609218\pi\) | |||||||
\(654\) | −1.77912 | + | 9.99156i | −0.0695692 | + | 0.390701i | ||||
\(655\) | −14.2564 | + | 13.5455i | −0.557044 | + | 0.529267i | ||||
\(656\) | −4.32042 | − | 15.8218i | −0.168684 | − | 0.617738i | ||||
\(657\) | −14.1859 | − | 45.9108i | −0.553445 | − | 1.79115i | ||||
\(658\) | 0.0673320 | + | 1.00886i | 0.00262487 | + | 0.0393293i | ||||
\(659\) | − | 5.93274i | − | 0.231107i | −0.993301 | − | 0.115553i | \(-0.963136\pi\) | ||
0.993301 | − | 0.115553i | \(-0.0368641\pi\) | |||||||
\(660\) | 16.2379 | − | 12.3508i | 0.632061 | − | 0.480754i | ||||
\(661\) | − | 28.1054i | − | 1.09317i | −0.837403 | − | 0.546586i | \(-0.815927\pi\) | ||
0.837403 | − | 0.546586i | \(-0.184073\pi\) | |||||||
\(662\) | 31.3760 | − | 2.09406i | 1.21946 | − | 0.0813881i | ||||
\(663\) | −42.4486 | − | 10.5165i | −1.64857 | − | 0.408429i | ||||
\(664\) | −18.8742 | + | 28.4671i | −0.732461 | + | 1.10474i | ||||
\(665\) | −0.0196714 | + | 0.769298i | −0.000762823 | + | 0.0298321i | ||||
\(666\) | 15.8057 | − | 6.06373i | 0.612460 | − | 0.234965i | ||||
\(667\) | 20.5596 | + | 20.5596i | 0.796069 | + | 0.796069i | ||||
\(668\) | −35.1719 | − | 26.8553i | −1.36084 | − | 1.03906i | ||||
\(669\) | −3.24434 | − | 5.38133i | −0.125433 | − | 0.208054i | ||||
\(670\) | 0.0641098 | + | 1.55984i | 0.00247678 | + | 0.0602619i | ||||
\(671\) | 15.9922i | 0.617370i | ||||||||
\(672\) | −3.85231 | − | 3.21227i | −0.148606 | − | 0.123916i | ||||
\(673\) | −15.2277 | − | 15.2277i | −0.586986 | − | 0.586986i | 0.349828 | − | 0.936814i | \(-0.386240\pi\) |
−0.936814 | + | 0.349828i | \(0.886240\pi\) | |||||||
\(674\) | −13.5276 | − | 11.8349i | −0.521063 | − | 0.455862i | ||||
\(675\) | 18.2662 | − | 18.4755i | 0.703068 | − | 0.711122i | ||||
\(676\) | 3.03327 | + | 22.6230i | 0.116664 | + | 0.870116i | ||||
\(677\) | 28.2327 | − | 28.2327i | 1.08507 | − | 1.08507i | 0.0890415 | − | 0.996028i | \(-0.471620\pi\) |
0.996028 | − | 0.0890415i | \(-0.0283804\pi\) | |||||||
\(678\) | −8.68714 | − | 12.4511i | −0.333628 | − | 0.478180i | ||||
\(679\) | − | 0.478448i | − | 0.0183611i | ||||||
\(680\) | −5.60670 | − | 31.8291i | −0.215007 | − | 1.22059i | ||||
\(681\) | 28.0352 | − | 16.9021i | 1.07431 | − | 0.647691i | ||||
\(682\) | 0.927161 | + | 13.8919i | 0.0355028 | + | 0.531950i | ||||
\(683\) | 26.1080 | + | 26.1080i | 0.998996 | + | 0.998996i | 0.999999 | − | 0.00100333i | \(-0.000319371\pi\) |
−0.00100333 | + | 0.999999i | \(0.500319\pi\) | |||||||
\(684\) | 3.78567 | + | 1.39232i | 0.144749 | + | 0.0532366i | ||||
\(685\) | −4.70454 | − | 0.120298i | −0.179751 | − | 0.00459634i | ||||
\(686\) | 6.54891 | − | 7.48559i | 0.250039 | − | 0.285801i | ||||
\(687\) | −26.4971 | − | 6.56460i | −1.01093 | − | 0.250455i | ||||
\(688\) | −21.2620 | + | 37.2359i | −0.810607 | + | 1.41961i | ||||
\(689\) | 4.51498 | 0.172007 | ||||||||
\(690\) | 32.7724 | + | 6.70406i | 1.24762 | + | 0.255219i | ||||
\(691\) | − | 9.65683i | − | 0.367363i | −0.982986 | − | 0.183682i | \(-0.941198\pi\) | ||
0.982986 | − | 0.183682i | \(-0.0588015\pi\) | |||||||
\(692\) | −14.3949 | − | 10.9912i | −0.547213 | − | 0.417822i | ||||
\(693\) | −3.86468 | + | 1.19414i | −0.146807 | + | 0.0453617i | ||||
\(694\) | −13.9310 | − | 12.1878i | −0.528814 | − | 0.462643i | ||||
\(695\) | −21.5643 | + | 20.4890i | −0.817982 | + | 0.777192i | ||||
\(696\) | −23.3016 | − | 1.00098i | −0.883244 | − | 0.0379422i | ||||
\(697\) | −14.8159 | + | 14.8159i | −0.561191 | + | 0.561191i | ||||
\(698\) | 1.65674 | + | 24.8234i | 0.0627085 | + | 0.939580i | ||||
\(699\) | 27.3120 | − | 16.4661i | 1.03303 | − | 0.622804i | ||||
\(700\) | −3.90474 | − | 3.31063i | −0.147585 | − | 0.125130i | ||||
\(701\) | −22.2509 | −0.840403 | −0.420202 | − | 0.907431i | \(-0.638041\pi\) | ||||
−0.420202 | + | 0.907431i | \(0.638041\pi\) | |||||||
\(702\) | 4.47149 | + | 36.0318i | 0.168766 | + | 1.35993i | ||||
\(703\) | 1.89679 | + | 1.89679i | 0.0715390 | + | 0.0715390i | ||||
\(704\) | −19.4083 | + | 8.20233i | −0.731478 | + | 0.309137i | ||||
\(705\) | 5.21527 | + | 1.43452i | 0.196419 | + | 0.0540270i | ||||
\(706\) | −19.5161 | − | 17.0741i | −0.734499 | − | 0.642591i | ||||
\(707\) | −1.25556 | + | 1.25556i | −0.0472202 | + | 0.0472202i | ||||
\(708\) | 1.86470 | − | 16.9497i | 0.0700799 | − | 0.637008i | ||||
\(709\) | 22.1309 | 0.831144 | 0.415572 | − | 0.909560i | \(-0.363581\pi\) | ||||
0.415572 | + | 0.909560i | \(0.363581\pi\) | |||||||
\(710\) | −18.5036 | + | 20.0898i | −0.694427 | + | 0.753956i | ||||
\(711\) | −5.71003 | + | 10.8166i | −0.214143 | + | 0.405653i | ||||
\(712\) | −3.69938 | − | 18.2565i | −0.138640 | − | 0.684192i | ||||
\(713\) | −16.1423 | + | 16.1423i | −0.604533 | + | 0.604533i | ||||
\(714\) | −1.12334 | + | 6.30867i | −0.0420399 | + | 0.236096i | ||||
\(715\) | −0.743829 | + | 29.0893i | −0.0278176 | + | 1.08788i | ||||
\(716\) | −0.154823 | − | 1.15472i | −0.00578602 | − | 0.0431538i | ||||
\(717\) | −41.7509 | − | 10.3437i | −1.55922 | − | 0.386292i | ||||
\(718\) | −1.55621 | − | 23.3172i | −0.0580772 | − | 0.870189i | ||||
\(719\) | −4.65932 | −0.173763 | −0.0868817 | − | 0.996219i | \(-0.527690\pi\) | ||||
−0.0868817 | + | 0.996219i | \(0.527690\pi\) | |||||||
\(720\) | −23.0053 | + | 13.8115i | −0.857356 | + | 0.514724i | ||||
\(721\) | −6.28997 | −0.234251 | ||||||||
\(722\) | −1.74679 | − | 26.1727i | −0.0650088 | − | 0.974047i | ||||
\(723\) | 29.0836 | + | 7.20539i | 1.08163 | + | 0.267971i | ||||
\(724\) | −0.987182 | − | 7.36268i | −0.0366883 | − | 0.273632i | ||||
\(725\) | −23.7729 | − | 1.21657i | −0.882903 | − | 0.0451821i | ||||
\(726\) | 1.74474 | − | 9.79845i | 0.0647532 | − | 0.363654i | ||||
\(727\) | −28.8504 | + | 28.8504i | −1.07000 | + | 1.07000i | −0.0726443 | + | 0.997358i | \(0.523144\pi\) |
−0.997358 | + | 0.0726443i | \(0.976856\pi\) | |||||||
\(728\) | 7.01174 | − | 1.42081i | 0.259872 | − | 0.0526588i | ||||
\(729\) | 3.06195 | + | 26.8258i | 0.113406 | + | 0.993549i | ||||
\(730\) | 2.08004 | + | 50.6090i | 0.0769858 | + | 1.87312i | ||||
\(731\) | 54.7787 | 2.02606 | ||||||||
\(732\) | 2.30013 | − | 20.9075i | 0.0850151 | − | 0.772765i | ||||
\(733\) | 23.8359 | − | 23.8359i | 0.880398 | − | 0.880398i | −0.113177 | − | 0.993575i | \(-0.536103\pi\) |
0.993575 | + | 0.113177i | \(0.0361026\pi\) | |||||||
\(734\) | −36.8636 | − | 32.2508i | −1.36066 | − | 1.19040i | ||||
\(735\) | −12.8980 | − | 22.6856i | −0.475749 | − | 0.836772i | ||||
\(736\) | −31.0758 | − | 15.0952i | −1.14547 | − | 0.556418i | ||||
\(737\) | −0.919420 | − | 0.919420i | −0.0338673 | − | 0.0338673i | ||||
\(738\) | 15.8906 | + | 7.07867i | 0.584943 | + | 0.260569i | ||||
\(739\) | 29.6476 | 1.09060 | 0.545302 | − | 0.838240i | \(-0.316415\pi\) | ||||
0.545302 | + | 0.838240i | \(0.316415\pi\) | |||||||
\(740\) | −17.7413 | + | 1.91850i | −0.652182 | + | 0.0705256i | ||||
\(741\) | −4.92704 | + | 2.97046i | −0.180999 | + | 0.109122i | ||||
\(742\) | −0.0440556 | − | 0.660098i | −0.00161733 | − | 0.0242330i | ||||
\(743\) | 8.41878 | − | 8.41878i | 0.308855 | − | 0.308855i | −0.535610 | − | 0.844465i | \(-0.679918\pi\) |
0.844465 | + | 0.535610i | \(0.179918\pi\) | |||||||
\(744\) | 0.785920 | − | 18.2952i | 0.0288132 | − | 0.670733i | ||||
\(745\) | 8.04699 | + | 8.46932i | 0.294819 | + | 0.310292i | ||||
\(746\) | 0.611258 | + | 0.534771i | 0.0223797 | + | 0.0195793i | ||||
\(747\) | −10.6950 | − | 34.6130i | −0.391310 | − | 1.26642i | ||||
\(748\) | 21.3945 | + | 16.3356i | 0.782259 | + | 0.597290i | ||||
\(749\) | − | 2.25134i | − | 0.0822620i | ||||||
\(750\) | −23.5944 | + | 13.9033i | −0.861547 | + | 0.507678i | ||||
\(751\) | −31.5577 | −1.15156 | −0.575778 | − | 0.817606i | \(-0.695301\pi\) | ||||
−0.575778 | + | 0.817606i | \(0.695301\pi\) | |||||||
\(752\) | −4.85119 | − | 2.77007i | −0.176905 | − | 0.101014i | ||||
\(753\) | 1.76583 | + | 0.437480i | 0.0643503 | + | 0.0159426i | ||||
\(754\) | 21.9041 | − | 25.0370i | 0.797700 | − | 0.911793i | ||||
\(755\) | 19.2111 | − | 18.2531i | 0.699163 | − | 0.664299i | ||||
\(756\) | 5.22428 | − | 1.00533i | 0.190005 | − | 0.0365633i | ||||
\(757\) | 25.5118 | + | 25.5118i | 0.927244 | + | 0.927244i | 0.997527 | − | 0.0702832i | \(-0.0223903\pi\) |
−0.0702832 | + | 0.997527i | \(0.522390\pi\) | |||||||
\(758\) | 0.539733 | + | 8.08698i | 0.0196040 | + | 0.293732i | ||||
\(759\) | −23.8599 | + | 14.3848i | −0.866059 | + | 0.522137i | ||||
\(760\) | −3.48244 | − | 2.43932i | −0.126321 | − | 0.0884834i | ||||
\(761\) | − | 2.30287i | − | 0.0834789i | −0.999129 | − | 0.0417394i | \(-0.986710\pi\) | ||
0.999129 | − | 0.0417394i | \(-0.0132899\pi\) | |||||||
\(762\) | 19.5975 | + | 28.0887i | 0.709944 | + | 1.01754i | ||||
\(763\) | −1.49979 | + | 1.49979i | −0.0542962 | + | 0.0542962i | ||||
\(764\) | −5.96666 | − | 44.5011i | −0.215866 | − | 1.60999i | ||||
\(765\) | 29.8959 | + | 16.7728i | 1.08089 | + | 0.606423i | ||||
\(766\) | 25.9810 | + | 22.7300i | 0.938733 | + | 0.821269i | ||||
\(767\) | 17.1979 | + | 17.1979i | 0.620981 | + | 0.620981i | ||||
\(768\) | 26.5534 | − | 7.93195i | 0.958164 | − | 0.286220i | ||||
\(769\) | − | 46.5571i | − | 1.67889i | −0.543442 | − | 0.839447i | \(-0.682879\pi\) | ||
0.543442 | − | 0.839447i | \(-0.317121\pi\) | |||||||
\(770\) | 4.26016 | − | 0.175094i | 0.153526 | − | 0.00630994i | ||||
\(771\) | −2.78633 | − | 4.62164i | −0.100347 | − | 0.166444i | ||||
\(772\) | −18.0157 | − | 13.7558i | −0.648399 | − | 0.495082i | ||||
\(773\) | −19.2506 | − | 19.2506i | −0.692397 | − | 0.692397i | 0.270362 | − | 0.962759i | \(-0.412857\pi\) |
−0.962759 | + | 0.270362i | \(0.912857\pi\) | |||||||
\(774\) | −16.2902 | − | 42.4622i | −0.585541 | − | 1.52627i | ||||
\(775\) | 0.955183 | − | 18.6652i | 0.0343112 | − | 0.670474i | ||||
\(776\) | 2.20318 | + | 1.46074i | 0.0790894 | + | 0.0524377i | ||||
\(777\) | 3.43424 | + | 0.850825i | 0.123203 | + | 0.0305232i | ||||
\(778\) | −39.4113 | + | 2.63035i | −1.41296 | + | 0.0943024i | ||||
\(779\) | 2.75647i | 0.0987608i | ||||||||
\(780\) | 5.15632 | − | 37.9233i | 0.184626 | − | 1.35787i | ||||
\(781\) | − | 22.7481i | − | 0.813993i | ||||||
\(782\) | 2.93914 | + | 44.0381i | 0.105104 | + | 1.57480i | ||||
\(783\) | 16.4706 | − | 18.4575i | 0.588611 | − | 0.659618i | ||||
\(784\) | 7.09969 | + | 25.9998i | 0.253560 | + | 0.928564i | ||||
\(785\) | 44.1064 | + | 1.12782i | 1.57422 | + | 0.0402537i | ||||
\(786\) | −3.77648 | + | 21.2087i | −0.134702 | + | 0.756490i | ||||
\(787\) | 3.79411 | + | 3.79411i | 0.135246 | + | 0.135246i | 0.771489 | − | 0.636243i | \(-0.219512\pi\) |
−0.636243 | + | 0.771489i | \(0.719512\pi\) | |||||||
\(788\) | 2.57140 | − | 3.36771i | 0.0916023 | − | 0.119970i | ||||
\(789\) | −15.7317 | + | 9.48447i | −0.560064 | + | 0.337656i | ||||
\(790\) | 8.73453 | − | 9.48329i | 0.310761 | − | 0.337400i | ||||
\(791\) | − | 3.17297i | − | 0.112818i | ||||||
\(792\) | 6.30037 | − | 21.4420i | 0.223874 | − | 0.761909i | ||||
\(793\) | 21.2138 | + | 21.2138i | 0.753324 | + | 0.753324i | ||||
\(794\) | −4.16445 | + | 4.76008i | −0.147791 | + | 0.168929i | ||||
\(795\) | −3.41237 | − | 0.938610i | −0.121024 | − | 0.0332891i | ||||
\(796\) | 3.35309 | + | 25.0083i | 0.118847 | + | 0.886396i | ||||
\(797\) | −30.0747 | + | 30.0747i | −1.06530 | + | 1.06530i | −0.0675880 | + | 0.997713i | \(0.521530\pi\) |
−0.997713 | + | 0.0675880i | \(0.978470\pi\) | |||||||
\(798\) | 0.482362 | + | 0.691357i | 0.0170754 | + | 0.0244738i | ||||
\(799\) | 7.13671i | 0.252479i | ||||||||
\(800\) | 27.1664 | − | 7.87306i | 0.960478 | − | 0.278355i | ||||
\(801\) | 17.4724 | + | 9.22362i | 0.617356 | + | 0.325901i | ||||
\(802\) | −15.8789 | + | 1.05977i | −0.560702 | + | 0.0374218i | ||||
\(803\) | −29.8306 | − | 29.8306i | −1.05270 | − | 1.05270i | ||||
\(804\) | 1.06978 | + | 1.33425i | 0.0377281 | + | 0.0470555i | ||||
\(805\) | 4.81546 | + | 5.06819i | 0.169723 | + | 0.178630i | ||||
\(806\) | 19.6577 | + | 17.1979i | 0.692413 | + | 0.605771i | ||||
\(807\) | 8.82990 | − | 35.6407i | 0.310827 | − | 1.25461i | ||||
\(808\) | −1.94832 | − | 9.61499i | −0.0685416 | − | 0.338254i | ||||
\(809\) | −21.7890 | −0.766061 | −0.383031 | − | 0.923736i | \(-0.625120\pi\) | ||||
−0.383031 | + | 0.923736i | \(0.625120\pi\) | |||||||
\(810\) | 4.11107 | − | 28.1620i | 0.144448 | − | 0.989512i | ||||
\(811\) | 2.48698i | 0.0873295i | 0.999046 | + | 0.0436648i | \(0.0139033\pi\) | ||||
−0.999046 | + | 0.0436648i | \(0.986097\pi\) | |||||||
\(812\) | −3.87418 | − | 2.95811i | −0.135957 | − | 0.103809i | ||||
\(813\) | −24.6716 | − | 6.11234i | −0.865272 | − | 0.214369i | ||||
\(814\) | 9.78619 | − | 11.1859i | 0.343006 | − | 0.392065i | ||||
\(815\) | 0.538710 | − | 21.0676i | 0.0188702 | − | 0.737966i | ||||
\(816\) | −25.6208 | − | 24.4337i | −0.896907 | − | 0.855352i | ||||
\(817\) | 5.09575 | − | 5.09575i | 0.178278 | − | 0.178278i | ||||
\(818\) | −7.13954 | + | 0.476499i | −0.249628 | + | 0.0166604i | ||||
\(819\) | −3.54250 | + | 6.71058i | −0.123785 | + | 0.234487i | ||||
\(820\) | −14.2851 | − | 11.4970i | −0.498856 | − | 0.401494i | ||||
\(821\) | 7.50855 | 0.262050 | 0.131025 | − | 0.991379i | \(-0.458173\pi\) | ||||
0.131025 | + | 0.991379i | \(0.458173\pi\) | |||||||
\(822\) | −4.22791 | + | 2.94982i | −0.147465 | + | 0.102887i | ||||
\(823\) | 33.8234 | + | 33.8234i | 1.17901 | + | 1.17901i | 0.979997 | + | 0.199012i | \(0.0637733\pi\) |
0.199012 | + | 0.979997i | \(0.436227\pi\) | |||||||
\(824\) | 19.2038 | − | 28.9643i | 0.668997 | − | 1.00902i | ||||
\(825\) | 6.60949 | − | 21.8307i | 0.230113 | − | 0.760048i | ||||
\(826\) | 2.34656 | − | 2.68218i | 0.0816471 | − | 0.0933249i | ||||
\(827\) | −20.6186 | + | 20.6186i | −0.716979 | + | 0.716979i | −0.967985 | − | 0.251007i | \(-0.919238\pi\) |
0.251007 | + | 0.967985i | \(0.419238\pi\) | |||||||
\(828\) | 33.2625 | − | 15.3745i | 1.15595 | − | 0.534300i | ||||
\(829\) | 16.9499 | 0.588694 | 0.294347 | − | 0.955699i | \(-0.404898\pi\) | ||||
0.294347 | + | 0.955699i | \(0.404898\pi\) | |||||||
\(830\) | 1.56818 | + | 38.1551i | 0.0544324 | + | 1.32438i | ||||
\(831\) | 11.1243 | + | 18.4516i | 0.385896 | + | 0.640079i | ||||
\(832\) | −14.8649 | + | 36.6258i | −0.515346 | + | 1.26977i | ||||
\(833\) | 24.3468 | − | 24.3468i | 0.843565 | − | 0.843565i | ||||
\(834\) | −5.71232 | + | 32.0804i | −0.197801 | + | 1.11085i | ||||
\(835\) | −49.4594 | − | 1.26470i | −1.71161 | − | 0.0437669i | ||||
\(836\) | 3.50981 | − | 0.470593i | 0.121389 | − | 0.0162758i | ||||
\(837\) | 14.4919 | + | 12.9318i | 0.500912 | + | 0.446990i | ||||
\(838\) | 35.5340 | − | 2.37157i | 1.22750 | − | 0.0819246i | ||||
\(839\) | 31.3869 | 1.08360 | 0.541798 | − | 0.840509i | \(-0.317744\pi\) | ||||
0.541798 | + | 0.840509i | \(0.317744\pi\) | |||||||
\(840\) | −5.59476 | − | 0.383821i | −0.193038 | − | 0.0132431i | ||||
\(841\) | 6.33479 | 0.218441 | ||||||||
\(842\) | −44.4617 | + | 2.96742i | −1.53225 | + | 0.102264i | ||||
\(843\) | −0.204436 | + | 0.825179i | −0.00704116 | + | 0.0284207i | ||||
\(844\) | −3.72117 | − | 27.7535i | −0.128088 | − | 0.955316i | ||||
\(845\) | 17.5780 | + | 18.5005i | 0.604700 | + | 0.636436i | ||||
\(846\) | 5.53209 | − | 2.12234i | 0.190197 | − | 0.0729674i | ||||
\(847\) | 1.47081 | − | 1.47081i | 0.0505375 | − | 0.0505375i | ||||
\(848\) | 3.17415 | + | 1.81247i | 0.109001 | + | 0.0622405i | ||||
\(849\) | 19.7966 | − | 11.9351i | 0.679418 | − | 0.409613i | ||||
\(850\) | −25.9438 | − | 25.1511i | −0.889864 | − | 0.862676i | ||||
\(851\) | 24.3693 | 0.835369 | ||||||||
\(852\) | −3.27183 | + | 29.7401i | −0.112091 | + | 1.01888i | ||||
\(853\) | −4.93576 | + | 4.93576i | −0.168997 | + | 0.168997i | −0.786538 | − | 0.617541i | \(-0.788129\pi\) |
0.617541 | + | 0.786538i | \(0.288129\pi\) | |||||||
\(854\) | 2.89449 | − | 3.30849i | 0.0990476 | − | 0.113214i | ||||
\(855\) | 4.34132 | − | 1.22076i | 0.148470 | − | 0.0417493i | ||||
\(856\) | 10.3670 | + | 6.87353i | 0.354338 | + | 0.234932i | ||||
\(857\) | −23.9182 | − | 23.9182i | −0.817029 | − | 0.817029i | 0.168648 | − | 0.985676i | \(-0.446060\pi\) |
−0.985676 | + | 0.168648i | \(0.946060\pi\) | |||||||
\(858\) | 18.2394 | + | 26.1421i | 0.622685 | + | 0.892478i | ||||
\(859\) | −22.2708 | −0.759871 | −0.379935 | − | 0.925013i | \(-0.624054\pi\) | ||||
−0.379935 | + | 0.925013i | \(0.624054\pi\) | |||||||
\(860\) | 5.15407 | + | 47.6620i | 0.175752 | + | 1.62526i | ||||
\(861\) | 1.87714 | + | 3.11358i | 0.0639728 | + | 0.106111i | ||||
\(862\) | 19.2021 | − | 1.28157i | 0.654027 | − | 0.0436503i | ||||
\(863\) | −37.8907 | + | 37.8907i | −1.28982 | + | 1.28982i | −0.354918 | + | 0.934897i | \(0.615491\pi\) |
−0.934897 | + | 0.354918i | \(0.884509\pi\) | |||||||
\(864\) | −11.3208 | + | 27.1263i | −0.385143 | + | 0.922857i | ||||
\(865\) | −20.2425 | − | 0.517611i | −0.688265 | − | 0.0175993i | ||||
\(866\) | −3.70706 | + | 4.23727i | −0.125971 | + | 0.143988i | ||||
\(867\) | −3.79581 | + | 15.3213i | −0.128912 | + | 0.520338i | ||||
\(868\) | 2.32255 | − | 3.04180i | 0.0788326 | − | 0.103245i | ||||
\(869\) | 10.7382i | 0.364267i | ||||||||
\(870\) | −21.7597 | + | 14.3691i | −0.737724 | + | 0.487157i | ||||
\(871\) | −2.43924 | −0.0826506 | ||||||||
\(872\) | −2.32731 | − | 11.4853i | −0.0788125 | − | 0.388942i | ||||
\(873\) | −2.67882 | + | 0.827726i | −0.0906645 | + | 0.0280143i | ||||
\(874\) | 4.37002 | + | 3.82320i | 0.147818 | + | 0.129322i | ||||
\(875\) | −5.70673 | − | 0.438537i | −0.192923 | − | 0.0148253i | ||||
\(876\) | 34.7089 | + | 43.2899i | 1.17270 | + | 1.46263i | ||||
\(877\) | −19.4977 | − | 19.4977i | −0.658392 | − | 0.658392i | 0.296608 | − | 0.954999i | \(-0.404145\pi\) |
−0.954999 | + | 0.296608i | \(0.904145\pi\) | |||||||
\(878\) | −7.85403 | + | 0.524185i | −0.265061 | + | 0.0176904i | ||||
\(879\) | 5.07546 | + | 8.41857i | 0.171191 | + | 0.283951i | ||||
\(880\) | −12.2004 | + | 20.1520i | −0.411275 | + | 0.679322i | ||||
\(881\) | 36.8489i | 1.24147i | 0.784021 | + | 0.620735i | \(0.213166\pi\) | ||||
−0.784021 | + | 0.620735i | \(0.786834\pi\) | |||||||
\(882\) | −26.1129 | − | 11.6323i | −0.879267 | − | 0.391680i | ||||
\(883\) | −25.6982 | + | 25.6982i | −0.864813 | + | 0.864813i | −0.991893 | − | 0.127079i | \(-0.959440\pi\) |
0.127079 | + | 0.991893i | \(0.459440\pi\) | |||||||
\(884\) | 50.0494 | − | 6.71058i | 1.68334 | − | 0.225701i | ||||
\(885\) | −9.42276 | − | 16.5732i | −0.316743 | − | 0.557103i | ||||
\(886\) | −4.65458 | + | 5.32031i | −0.156374 | + | 0.178739i | ||||
\(887\) | −19.3369 | − | 19.3369i | −0.649270 | − | 0.649270i | 0.303547 | − | 0.952817i | \(-0.401829\pi\) |
−0.952817 | + | 0.303547i | \(0.901829\pi\) | |||||||
\(888\) | −14.4029 | + | 13.2165i | −0.483331 | + | 0.443516i | ||||
\(889\) | 7.15799i | 0.240071i | ||||||||
\(890\) | −15.3187 | − | 14.1092i | −0.513484 | − | 0.472942i | ||||
\(891\) | 13.3720 | + | 19.5724i | 0.447978 | + | 0.655699i | ||||
\(892\) | 5.76689 | + | 4.40328i | 0.193090 | + | 0.147433i | ||||
\(893\) | 0.663887 | + | 0.663887i | 0.0222161 | + | 0.0222161i | ||||
\(894\) | 12.5995 | + | 2.24349i | 0.421390 | + | 0.0750337i | ||||
\(895\) | −0.897207 | − | 0.944295i | −0.0299903 | − | 0.0315643i | ||||
\(896\) | 5.49980 | + | 1.81589i | 0.183736 | + | 0.0606645i | ||||
\(897\) | −12.5688 | + | 50.7321i | −0.419658 | + | 1.69389i | ||||
\(898\) | 1.99555 | + | 29.9000i | 0.0665925 | + | 0.997775i | ||||
\(899\) | − | 17.7955i | − | 0.593514i | ||||||
\(900\) | −11.7809 | + | 27.5901i | −0.392696 | + | 0.919668i | ||||
\(901\) | − | 4.66958i | − | 0.155566i | ||||||
\(902\) | 15.2386 | − | 1.01704i | 0.507389 | − | 0.0338636i | ||||
\(903\) | 2.28574 | − | 9.22610i | 0.0760648 | − | 0.307025i | ||||
\(904\) | 14.6110 | + | 9.68737i | 0.485956 | + | 0.322197i | ||||
\(905\) | −5.72076 | − | 6.02100i | −0.190164 | − | 0.200145i | ||||
\(906\) | 5.08896 | − | 28.5796i | 0.169069 | − | 0.949494i | ||||
\(907\) | 16.8535 | + | 16.8535i | 0.559613 | + | 0.559613i | 0.929197 | − | 0.369585i | \(-0.120500\pi\) |
−0.369585 | + | 0.929197i | \(0.620500\pi\) | |||||||
\(908\) | −22.9399 | + | 30.0439i | −0.761287 | + | 0.997042i | ||||
\(909\) | 9.20201 | + | 4.85772i | 0.305212 | + | 0.161120i | ||||
\(910\) | 5.41889 | − | 5.88342i | 0.179635 | − | 0.195034i | ||||
\(911\) | − | 31.3998i | − | 1.04032i | −0.854068 | − | 0.520161i | \(-0.825872\pi\) | ||
0.854068 | − | 0.520161i | \(-0.174128\pi\) | |||||||
\(912\) | −4.65628 | + | 0.110424i | −0.154185 | + | 0.00365652i | ||||
\(913\) | −22.4898 | − | 22.4898i | −0.744304 | − | 0.744304i | ||||
\(914\) | 25.4071 | + | 22.2279i | 0.840393 | + | 0.735234i | ||||
\(915\) | −11.6230 | − | 20.4432i | −0.384246 | − | 0.675832i | ||||
\(916\) | 31.2417 | − | 4.18886i | 1.03225 | − | 0.138404i | ||||
\(917\) | −3.18356 | + | 3.18356i | −0.105130 | + | 0.105130i | ||||
\(918\) | 37.2656 | − | 4.62460i | 1.22995 | − | 0.152635i | ||||
\(919\) | − | 26.0422i | − | 0.859054i | −0.903054 | − | 0.429527i | \(-0.858680\pi\) | ||
0.903054 | − | 0.429527i | \(-0.141320\pi\) | |||||||
\(920\) | −38.0403 | + | 6.70079i | −1.25415 | + | 0.220919i | ||||
\(921\) | 10.1289 | + | 16.8006i | 0.333757 | + | 0.553597i | ||||
\(922\) | −0.337986 | − | 5.06414i | −0.0111310 | − | 0.166779i | ||||
\(923\) | −30.1757 | − | 30.1757i | −0.993245 | − | 0.993245i | ||||
\(924\) | 3.64405 | − | 2.92172i | 0.119881 | − | 0.0961177i | ||||
\(925\) | −14.8100 | + | 13.3680i | −0.486951 | + | 0.439538i | ||||
\(926\) | 34.8972 | − | 39.8885i | 1.14679 | − | 1.31082i | ||||
\(927\) | 10.8818 | + | 35.2175i | 0.357405 | + | 1.15669i | ||||
\(928\) | 25.4499 | − | 8.80860i | 0.835433 | − | 0.289157i | ||||
\(929\) | −16.2184 | −0.532108 | −0.266054 | − | 0.963958i | \(-0.585720\pi\) | ||||
−0.266054 | + | 0.963958i | \(0.585720\pi\) | |||||||
\(930\) | −11.2818 | − | 17.0846i | −0.369946 | − | 0.560226i | ||||
\(931\) | − | 4.52968i | − | 0.148454i | ||||||
\(932\) | −22.3481 | + | 29.2688i | −0.732036 | + | 0.958733i | ||||
\(933\) | −5.36785 | + | 21.6666i | −0.175736 | + | 0.709333i | ||||
\(934\) | 31.8871 | + | 27.8970i | 1.04338 | + | 0.912819i | ||||
\(935\) | 30.0853 | + | 0.769298i | 0.983896 | + | 0.0251587i | ||||
\(936\) | −20.0856 | − | 36.8006i | −0.656518 | − | 1.20287i | ||||
\(937\) | −14.3578 | + | 14.3578i | −0.469050 | + | 0.469050i | −0.901607 | − | 0.432557i | \(-0.857611\pi\) |
0.432557 | + | 0.901607i | \(0.357611\pi\) | |||||||
\(938\) | 0.0238012 | + | 0.356621i | 0.000777138 | + | 0.0116441i | ||||
\(939\) | 15.5547 | + | 25.8002i | 0.507607 | + | 0.841959i | ||||
\(940\) | −6.20953 | + | 0.671485i | −0.202533 | + | 0.0219014i | ||||
\(941\) | 27.3264 | 0.890817 | 0.445408 | − | 0.895328i | \(-0.353059\pi\) | ||||
0.445408 | + | 0.895328i | \(0.353059\pi\) | |||||||
\(942\) | 39.6378 | − | 27.6554i | 1.29147 | − | 0.901061i | ||||
\(943\) | 17.7071 | + | 17.7071i | 0.576621 | + | 0.576621i | ||||
\(944\) | 5.18676 | + | 18.9944i | 0.168815 | + | 0.618216i | ||||
\(945\) | 4.07242 | − | 4.33534i | 0.132476 | − | 0.141029i | ||||
\(946\) | −30.0509 | − | 26.2906i | −0.977040 | − | 0.854783i | ||||
\(947\) | −17.5336 | + | 17.5336i | −0.569766 | + | 0.569766i | −0.932063 | − | 0.362297i | \(-0.881993\pi\) |
0.362297 | + | 0.932063i | \(0.381993\pi\) | |||||||
\(948\) | 1.54445 | − | 14.0387i | 0.0501615 | − | 0.455955i | ||||
\(949\) | −79.1412 | −2.56903 | ||||||||
\(950\) | −4.75306 | + | 0.0737363i | −0.154210 | + | 0.00239232i | ||||
\(951\) | −19.3868 | + | 11.6881i | −0.628661 | + | 0.379012i | ||||
\(952\) | −1.46946 | − | 7.25183i | −0.0476255 | − | 0.235033i | ||||
\(953\) | −19.5859 | + | 19.5859i | −0.634449 | + | 0.634449i | −0.949181 | − | 0.314732i | \(-0.898085\pi\) |
0.314732 | + | 0.949181i | \(0.398085\pi\) | |||||||
\(954\) | −3.61966 | + | 1.38865i | −0.117191 | + | 0.0449593i | ||||
\(955\) | −34.5770 | − | 36.3917i | −1.11889 | − | 1.17761i | ||||
\(956\) | 49.2268 | − | 6.60028i | 1.59211 | − | 0.213468i | ||||
\(957\) | 5.22272 | − | 21.0808i | 0.168827 | − | 0.681446i | ||||
\(958\) | 0.243772 | + | 3.65252i | 0.00787593 | + | 0.118008i | ||||
\(959\) | −1.07742 | −0.0347917 | ||||||||
\(960\) | 18.8487 | − | 24.5912i | 0.608341 | − | 0.793676i | ||||
\(961\) | −17.0279 | −0.549287 | ||||||||
\(962\) | −1.85671 | − | 27.8197i | −0.0598628 | − | 0.896943i | ||||
\(963\) | −12.6052 | + | 3.89486i | −0.406197 | + | 0.125510i | ||||
\(964\) | −34.2913 | + | 4.59774i | −1.10445 | + | 0.148083i | ||||
\(965\) | −25.3341 | − | 0.647805i | −0.815532 | − | 0.0208536i | ||||
\(966\) | 7.53975 | + | 1.34255i | 0.242588 | + | 0.0431958i | ||||
\(967\) | −16.0917 | + | 16.0917i | −0.517475 | + | 0.517475i | −0.916806 | − | 0.399332i | \(-0.869242\pi\) |
0.399332 | + | 0.916806i | \(0.369242\pi\) | |||||||
\(968\) | 2.28232 | + | 11.2633i | 0.0733567 | + | 0.362017i | ||||
\(969\) | 3.07217 | + | 5.09575i | 0.0986922 | + | 0.163699i | ||||
\(970\) | 2.95296 | − | 0.121367i | 0.0948138 | − | 0.00389687i | ||||
\(971\) | −56.1374 | −1.80154 | −0.900768 | − | 0.434301i | \(-0.856995\pi\) | ||||
−0.900768 | + | 0.434301i | \(0.856995\pi\) | |||||||
\(972\) | −14.6669 | − | 27.5115i | −0.470442 | − | 0.882431i | ||||
\(973\) | −4.81546 | + | 4.81546i | −0.154377 | + | 0.154377i | ||||
\(974\) | 12.4932 | + | 10.9299i | 0.400308 | + | 0.350217i | ||||
\(975\) | −20.1912 | − | 37.7263i | −0.646635 | − | 1.20821i | ||||
\(976\) | 6.39791 | + | 23.4298i | 0.204792 | + | 0.749969i | ||||
\(977\) | 1.50786 | + | 1.50786i | 0.0482409 | + | 0.0482409i | 0.730816 | − | 0.682575i | \(-0.239140\pi\) |
−0.682575 | + | 0.730816i | \(0.739140\pi\) | |||||||
\(978\) | −13.2097 | − | 18.9332i | −0.422400 | − | 0.605416i | ||||
\(979\) | 17.3458 | 0.554373 | ||||||||
\(980\) | 23.4745 | + | 18.8929i | 0.749864 | + | 0.603513i | ||||
\(981\) | 10.9920 | + | 5.80265i | 0.350948 | + | 0.185264i | ||||
\(982\) | −2.38928 | − | 35.7993i | −0.0762450 | − | 1.14240i | ||||
\(983\) | 20.1605 | − | 20.1605i | 0.643021 | − | 0.643021i | −0.308276 | − | 0.951297i | \(-0.599752\pi\) |
0.951297 | + | 0.308276i | \(0.0997519\pi\) | |||||||
\(984\) | −20.0686 | − | 0.862105i | −0.639765 | − | 0.0274829i | ||||
\(985\) | 0.121096 | − | 4.73575i | 0.00385843 | − | 0.150893i | ||||
\(986\) | −25.8943 | − | 22.6541i | −0.824641 | − | 0.721454i | ||||
\(987\) | 1.20200 | + | 0.297793i | 0.0382601 | + | 0.00947885i | ||||
\(988\) | 4.03156 | − | 5.28006i | 0.128261 | − | 0.167981i | ||||
\(989\) | − | 65.4683i | − | 2.08177i | ||||||
\(990\) | −8.35053 | − | 23.5497i | −0.265397 | − | 0.748458i | ||||
\(991\) | 36.8471 | 1.17049 | 0.585244 | − | 0.810858i | \(-0.300999\pi\) | ||||
0.585244 | + | 0.810858i | \(0.300999\pi\) | |||||||
\(992\) | 6.91605 | + | 19.9819i | 0.219585 | + | 0.634425i | ||||
\(993\) | 9.26153 | − | 37.3829i | 0.293906 | − | 1.18631i | ||||
\(994\) | −4.11729 | + | 4.70618i | −0.130593 | + | 0.149271i | ||||
\(995\) | 19.4313 | + | 20.4511i | 0.616013 | + | 0.648344i | ||||
\(996\) | 26.1677 | + | 32.6370i | 0.829154 | + | 1.03414i | ||||
\(997\) | 28.1250 | + | 28.1250i | 0.890726 | + | 0.890726i | 0.994591 | − | 0.103865i | \(-0.0331210\pi\) |
−0.103865 | + | 0.994591i | \(0.533121\pi\) | |||||||
\(998\) | −2.70043 | − | 40.4614i | −0.0854806 | − | 1.28078i | ||||
\(999\) | −1.17756 | − | 20.7002i | −0.0372563 | − | 0.654926i |
(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 | 120.2.w.c.53.9 | yes | 32 | |
3.2 | odd | 2 | inner | 120.2.w.c.53.8 | yes | 32 | |
4.3 | odd | 2 | 480.2.bi.c.113.2 | 32 | |||
5.2 | odd | 4 | inner | 120.2.w.c.77.1 | yes | 32 | |
5.3 | odd | 4 | 600.2.w.j.557.16 | 32 | |||
5.4 | even | 2 | 600.2.w.j.293.8 | 32 | |||
8.3 | odd | 2 | 480.2.bi.c.113.15 | 32 | |||
8.5 | even | 2 | inner | 120.2.w.c.53.16 | yes | 32 | |
12.11 | even | 2 | 480.2.bi.c.113.10 | 32 | |||
15.2 | even | 4 | inner | 120.2.w.c.77.16 | yes | 32 | |
15.8 | even | 4 | 600.2.w.j.557.1 | 32 | |||
15.14 | odd | 2 | 600.2.w.j.293.9 | 32 | |||
20.7 | even | 4 | 480.2.bi.c.17.7 | 32 | |||
24.5 | odd | 2 | inner | 120.2.w.c.53.1 | ✓ | 32 | |
24.11 | even | 2 | 480.2.bi.c.113.7 | 32 | |||
40.13 | odd | 4 | 600.2.w.j.557.9 | 32 | |||
40.27 | even | 4 | 480.2.bi.c.17.10 | 32 | |||
40.29 | even | 2 | 600.2.w.j.293.1 | 32 | |||
40.37 | odd | 4 | inner | 120.2.w.c.77.8 | yes | 32 | |
60.47 | odd | 4 | 480.2.bi.c.17.15 | 32 | |||
120.29 | odd | 2 | 600.2.w.j.293.16 | 32 | |||
120.53 | even | 4 | 600.2.w.j.557.8 | 32 | |||
120.77 | even | 4 | inner | 120.2.w.c.77.9 | yes | 32 | |
120.107 | odd | 4 | 480.2.bi.c.17.2 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
120.2.w.c.53.1 | ✓ | 32 | 24.5 | odd | 2 | inner | |
120.2.w.c.53.8 | yes | 32 | 3.2 | odd | 2 | inner | |
120.2.w.c.53.9 | yes | 32 | 1.1 | even | 1 | trivial | |
120.2.w.c.53.16 | yes | 32 | 8.5 | even | 2 | inner | |
120.2.w.c.77.1 | yes | 32 | 5.2 | odd | 4 | inner | |
120.2.w.c.77.8 | yes | 32 | 40.37 | odd | 4 | inner | |
120.2.w.c.77.9 | yes | 32 | 120.77 | even | 4 | inner | |
120.2.w.c.77.16 | yes | 32 | 15.2 | even | 4 | inner | |
480.2.bi.c.17.2 | 32 | 120.107 | odd | 4 | |||
480.2.bi.c.17.7 | 32 | 20.7 | even | 4 | |||
480.2.bi.c.17.10 | 32 | 40.27 | even | 4 | |||
480.2.bi.c.17.15 | 32 | 60.47 | odd | 4 | |||
480.2.bi.c.113.2 | 32 | 4.3 | odd | 2 | |||
480.2.bi.c.113.7 | 32 | 24.11 | even | 2 | |||
480.2.bi.c.113.10 | 32 | 12.11 | even | 2 | |||
480.2.bi.c.113.15 | 32 | 8.3 | odd | 2 | |||
600.2.w.j.293.1 | 32 | 40.29 | even | 2 | |||
600.2.w.j.293.8 | 32 | 5.4 | even | 2 | |||
600.2.w.j.293.9 | 32 | 15.14 | odd | 2 | |||
600.2.w.j.293.16 | 32 | 120.29 | odd | 2 | |||
600.2.w.j.557.1 | 32 | 15.8 | even | 4 | |||
600.2.w.j.557.8 | 32 | 120.53 | even | 4 | |||
600.2.w.j.557.9 | 32 | 40.13 | odd | 4 | |||
600.2.w.j.557.16 | 32 | 5.3 | odd | 4 |