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 | 53.16 | ||
Character | \(\chi\) | \(=\) | 120.53 |
Dual form | 120.2.w.c.77.16 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41107 | + | 0.0941764i | 0.997780 | + | 0.0665928i | ||||
\(3\) | −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 | ||||
\(6\) | −2.33310 | − | 0.746071i | −0.952486 | − | 0.304582i | ||||
\(7\) | −0.361989 | + | 0.361989i | −0.136819 | + | 0.136819i | −0.772199 | − | 0.635380i | \(-0.780843\pi\) |
0.635380 | + | 0.772199i | \(0.280843\pi\) | |||||||
\(8\) | 2.77209 | + | 0.561717i | 0.980081 | + | 0.198597i | ||||
\(9\) | 2.65302 | + | 1.40052i | 0.884341 | + | 0.466841i | ||||
\(10\) | 2.43246 | − | 2.02068i | 0.769211 | − | 0.638995i | ||||
\(11\) | −2.63380 | −0.794119 | −0.397060 | − | 0.917793i | \(-0.629969\pi\) | ||||
−0.397060 | + | 0.917793i | \(0.629969\pi\) | |||||||
\(12\) | −3.22192 | − | 1.27249i | −0.930089 | − | 0.367335i | ||||
\(13\) | −3.49376 | + | 3.49376i | −0.968995 | + | 0.968995i | −0.999534 | − | 0.0305386i | \(-0.990278\pi\) |
0.0305386 | + | 0.999534i | \(0.490278\pi\) | |||||||
\(14\) | −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 | \(0.962742\pi\) | |||||||
\(18\) | 3.61172 | + | 2.22609i | 0.851290 | + | 0.524696i | ||||
\(19\) | 0.672266 | 0.154228 | 0.0771142 | − | 0.997022i | \(-0.475429\pi\) | ||||
0.0771142 | + | 0.997022i | \(0.475429\pi\) | |||||||
\(20\) | 3.62268 | − | 2.62225i | 0.810056 | − | 0.586353i | ||||
\(21\) | 0.759360 | − | 0.457809i | 0.165706 | − | 0.0999022i | ||||
\(22\) | −3.71648 | − | 0.248041i | −0.792357 | − | 0.0528826i | ||||
\(23\) | −4.31851 | + | 4.31851i | −0.900472 | + | 0.900472i | −0.995477 | − | 0.0950052i | \(-0.969713\pi\) |
0.0950052 | + | 0.995477i | \(0.469713\pi\) | |||||||
\(24\) | −4.42653 | − | 2.09900i | −0.903562 | − | 0.428457i | ||||
\(25\) | 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 | ||||
\(28\) | −0.813767 | + | 0.621348i | −0.153787 | + | 0.117424i | ||||
\(29\) | 4.76080i | 0.884058i | 0.897001 | + | 0.442029i | \(0.145741\pi\) | ||||
−0.897001 | + | 0.442029i | \(0.854259\pi\) | |||||||
\(30\) | −4.93116 | + | 2.38405i | −0.900302 | + | 0.435266i | ||||
\(31\) | 3.73793 | 0.671352 | 0.335676 | − | 0.941978i | \(-0.391035\pi\) | ||||
0.335676 | + | 0.941978i | \(0.391035\pi\) | |||||||
\(32\) | 5.34571 | + | 1.85024i | 0.944997 | + | 0.327079i | ||||
\(33\) | 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 | ||||
\(36\) | 4.88676 | + | 3.48132i | 0.814459 | + | 0.580221i | ||||
\(37\) | 2.82150 | + | 2.82150i | 0.463851 | + | 0.463851i | 0.899915 | − | 0.436064i | \(-0.143628\pi\) |
−0.436064 | + | 0.899915i | \(0.643628\pi\) | |||||||
\(38\) | 0.948617 | + | 0.0633116i | 0.153886 | + | 0.0102705i | ||||
\(39\) | 7.32901 | − | 4.41857i | 1.17358 | − | 0.707538i | ||||
\(40\) | 5.35882 | − | 3.35902i | 0.847305 | − | 0.531107i | ||||
\(41\) | − | 4.10027i | − | 0.640355i | −0.947358 | − | 0.320177i | \(-0.896257\pi\) | ||
0.947358 | − | 0.320177i | \(-0.103743\pi\) | |||||||
\(42\) | 1.11463 | − | 0.574489i | 0.171991 | − | 0.0886456i | ||||
\(43\) | 7.57996 | − | 7.57996i | 1.15593 | − | 1.15593i | 0.170591 | − | 0.985342i | \(-0.445432\pi\) |
0.985342 | − | 0.170591i | \(-0.0545678\pi\) | |||||||
\(44\) | −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 | \(0.782478\pi\) | |||||||
\(48\) | −6.04849 | − | 3.37872i | −0.873025 | − | 0.487676i | ||||
\(49\) | 6.73793i | 0.962561i | ||||||||
\(50\) | 0.830850 | − | 7.02209i | 0.117500 | − | 0.993073i | ||||
\(51\) | 4.56987 | + | 7.57996i | 0.639910 | + | 1.06141i | ||||
\(52\) | −7.85412 | + | 5.99698i | −1.08917 | + | 0.831631i | ||||
\(53\) | −0.646149 | − | 0.646149i | −0.0887554 | − | 0.0887554i | 0.661335 | − | 0.750091i | \(-0.269990\pi\) |
−0.750091 | + | 0.661335i | \(0.769990\pi\) | |||||||
\(54\) | −5.14489 | − | 5.24691i | −0.700131 | − | 0.714014i | ||||
\(55\) | −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 | ||||
\(58\) | −0.448355 | + | 6.71784i | −0.0588719 | + | 0.882096i | ||||
\(59\) | − | 4.92247i | − | 0.640851i | −0.947274 | − | 0.320425i | \(-0.896174\pi\) | ||
0.947274 | − | 0.320425i | \(-0.103826\pi\) | |||||||
\(60\) | −7.18275 | + | 2.89967i | −0.927289 | + | 0.374346i | ||||
\(61\) | − | 6.07190i | − | 0.777428i | −0.921359 | − | 0.388714i | \(-0.872919\pi\) | ||
0.921359 | − | 0.388714i | \(-0.127081\pi\) | |||||||
\(62\) | 5.27449 | + | 0.352025i | 0.669861 | + | 0.0447072i | ||||
\(63\) | −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 | ||||
\(66\) | 6.14492 | + | 1.96500i | 0.756388 | + | 0.241875i | ||||
\(67\) | 0.349085 | + | 0.349085i | 0.0426476 | + | 0.0426476i | 0.728109 | − | 0.685461i | \(-0.240399\pi\) |
−0.685461 | + | 0.728109i | \(0.740399\pi\) | |||||||
\(68\) | −6.20232 | − | 8.12305i | −0.752141 | − | 0.985064i | ||||
\(69\) | 9.05912 | − | 5.46164i | 1.09059 | − | 0.657504i | ||||
\(70\) | −0.149059 | + | 1.61199i | −0.0178160 | + | 0.192669i | ||||
\(71\) | − | 8.63702i | − | 1.02503i | −0.858680 | − | 0.512513i | \(-0.828715\pi\) | ||
0.858680 | − | 0.512513i | \(-0.171285\pi\) | |||||||
\(72\) | 6.56772 | + | 5.37262i | 0.774013 | + | 0.633170i | ||||
\(73\) | −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 | ||||
\(78\) | 10.7579 | − | 5.54472i | 1.21809 | − | 0.627816i | ||||
\(79\) | 4.07707i | 0.458706i | 0.973343 | + | 0.229353i | \(0.0736610\pi\) | ||||
−0.973343 | + | 0.229353i | \(0.926339\pi\) | |||||||
\(80\) | 7.87804 | − | 4.23515i | 0.880792 | − | 0.473504i | ||||
\(81\) | 5.07707 | + | 7.43124i | 0.564119 | + | 0.825694i | ||||
\(82\) | 0.386149 | − | 5.78579i | 0.0426430 | − | 0.638933i | ||||
\(83\) | 8.53893 | + | 8.53893i | 0.937270 | + | 0.937270i | 0.998145 | − | 0.0608758i | \(-0.0193894\pi\) |
−0.0608758 | + | 0.998145i | \(0.519389\pi\) | |||||||
\(84\) | 1.62693 | − | 0.705675i | 0.177512 | − | 0.0769955i | ||||
\(85\) | −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 | ||||
\(88\) | −7.30111 | − | 1.47945i | −0.778301 | − | 0.157710i | ||||
\(89\) | 6.58584 | 0.698097 | 0.349049 | − | 0.937105i | \(-0.386505\pi\) | ||||
0.349049 | + | 0.937105i | \(0.386505\pi\) | |||||||
\(90\) | 9.28338 | − | 1.95420i | 0.978554 | − | 0.205990i | ||||
\(91\) | − | 2.52941i | − | 0.265154i | ||||||
\(92\) | −9.70819 | + | 7.41264i | −1.01215 | + | 0.772822i | ||||
\(93\) | −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 | ||||
\(96\) | −8.21668 | − | 5.33725i | −0.838611 | − | 0.544731i | ||||
\(97\) | −0.660859 | + | 0.660859i | −0.0671001 | + | 0.0671001i | −0.739860 | − | 0.672760i | \(-0.765108\pi\) |
0.672760 | + | 0.739860i | \(0.265108\pi\) | |||||||
\(98\) | −0.634554 | + | 9.50772i | −0.0640996 | + | 0.960424i | ||||
\(99\) | −6.98752 | − | 3.68869i | −0.702272 | − | 0.370728i | ||||
\(100\) | 1.83371 | − | 9.83044i | 0.183371 | − | 0.983044i | ||||
\(101\) | −3.46850 | −0.345129 | −0.172564 | − | 0.984998i | \(-0.555205\pi\) | ||||
−0.172564 | + | 0.984998i | \(0.555205\pi\) | |||||||
\(102\) | 5.73457 | + | 11.1263i | 0.567807 | + | 1.10166i | ||||
\(103\) | 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 | −0.540634 | − | 0.841258i | \(-0.681816\pi\) |
0.841258 | + | 0.540634i | \(0.181816\pi\) | |||||||
\(108\) | −6.76569 | − | 7.88831i | −0.651029 | − | 0.759053i | ||||
\(109\) | −4.14320 | −0.396846 | −0.198423 | − | 0.980116i | \(-0.563582\pi\) | ||||
−0.198423 | + | 0.980116i | \(0.563582\pi\) | |||||||
\(110\) | −6.40660 | + | 5.32206i | −0.610845 | + | 0.507438i | ||||
\(111\) | −3.56836 | − | 5.91877i | −0.338693 | − | 0.561785i | ||||
\(112\) | −1.77824 | + | 1.01539i | −0.168028 | + | 0.0959455i | ||||
\(113\) | −4.38269 | + | 4.38269i | −0.412289 | + | 0.412289i | −0.882535 | − | 0.470247i | \(-0.844165\pi\) |
0.470247 | + | 0.882535i | \(0.344165\pi\) | |||||||
\(114\) | −1.56847 | − | 0.501558i | −0.146900 | − | 0.0469752i | ||||
\(115\) | −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 | ||||
\(118\) | 0.463580 | − | 6.94597i | 0.0426760 | − | 0.639428i | ||||
\(119\) | 2.61602 | 0.239810 | ||||||||
\(120\) | −10.4085 | + | 3.41521i | −0.950160 | + | 0.311764i | ||||
\(121\) | −4.06312 | −0.369374 | ||||||||
\(122\) | 0.571830 | − | 8.56791i | 0.0517711 | − | 0.775702i | ||||
\(123\) | −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 | ||||
\(126\) | −2.11323 | + | 0.501580i | −0.188261 | + | 0.0446843i | ||||
\(127\) | 9.88701 | − | 9.88701i | 0.877331 | − | 0.877331i | −0.115927 | − | 0.993258i | \(-0.536984\pi\) |
0.993258 | + | 0.115927i | \(0.0369839\pi\) | |||||||
\(128\) | 10.1048 | + | 5.08843i | 0.893150 | + | 0.449758i | ||||
\(129\) | −15.9008 | + | 9.58641i | −1.39999 | + | 0.844036i | ||||
\(130\) | −1.43866 | + | 15.5582i | −0.126178 | + | 1.36454i | ||||
\(131\) | −8.79462 | −0.768389 | −0.384195 | − | 0.923252i | \(-0.625521\pi\) | ||||
−0.384195 | + | 0.923252i | \(0.625521\pi\) | |||||||
\(132\) | 8.48588 | + | 3.35147i | 0.738601 | + | 0.291708i | ||||
\(133\) | −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 | \(0.721344\pi\) | |||||||
\(138\) | 13.2975 | − | 6.85362i | 1.13195 | − | 0.583419i | ||||
\(139\) | −13.3028 | −1.12833 | −0.564164 | − | 0.825663i | \(-0.690801\pi\) | ||||
−0.564164 | + | 0.825663i | \(0.690801\pi\) | |||||||
\(140\) | −0.362145 | + | 2.26060i | −0.0306068 | + | 0.191055i | ||||
\(141\) | 1.24894 | + | 2.07160i | 0.105180 | + | 0.174460i | ||||
\(142\) | 0.813404 | − | 12.1875i | 0.0682593 | − | 1.02275i | ||||
\(143\) | 9.20185 | − | 9.20185i | 0.769498 | − | 0.769498i | ||||
\(144\) | 8.76156 | + | 8.19970i | 0.730130 | + | 0.683308i | ||||
\(145\) | 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 | ||||
\(148\) | 4.84305 | + | 6.34284i | 0.398096 | + | 0.521378i | ||||
\(149\) | 5.22462i | 0.428018i | 0.976832 | + | 0.214009i | \(0.0686522\pi\) | ||||
−0.976832 | + | 0.214009i | \(0.931348\pi\) | |||||||
\(150\) | −4.32168 | + | 11.4596i | −0.352864 | + | 0.935675i | ||||
\(151\) | −11.8511 | −0.964429 | −0.482214 | − | 0.876053i | \(-0.660167\pi\) | ||||
−0.482214 | + | 0.876053i | \(0.660167\pi\) | |||||||
\(152\) | 1.86358 | + | 0.377623i | 0.151156 | + | 0.0306293i | ||||
\(153\) | −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 | ||||
\(156\) | 15.7024 | − | 6.81087i | 1.25720 | − | 0.545306i | ||||
\(157\) | 13.9522 | + | 13.9522i | 1.11351 | + | 1.11351i | 0.992673 | + | 0.120836i | \(0.0385574\pi\) |
0.120836 | + | 0.992673i | \(0.461443\pi\) | |||||||
\(158\) | −0.383964 | + | 5.75305i | −0.0305465 | + | 0.457688i | ||||
\(159\) | 0.817188 | + | 1.35546i | 0.0648072 | + | 0.107495i | ||||
\(160\) | 11.5154 | − | 5.23418i | 0.910368 | − | 0.413799i | ||||
\(161\) | − | 3.12651i | − | 0.246403i | ||||||
\(162\) | 6.46427 | + | 10.9642i | 0.507881 | + | 0.861427i | ||||
\(163\) | 6.66434 | − | 6.66434i | 0.521992 | − | 0.521992i | −0.396181 | − | 0.918172i | \(-0.629665\pi\) |
0.918172 | + | 0.396181i | \(0.129665\pi\) | |||||||
\(164\) | 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 | \(0.422889\pi\) | |||||||
\(168\) | 2.36217 | − | 0.842542i | 0.182246 | − | 0.0650035i | ||||
\(169\) | − | 11.4127i | − | 0.877903i | ||||||
\(170\) | −16.0909 | − | 1.48792i | −1.23412 | − | 0.114118i | ||||
\(171\) | 1.78354 | + | 0.941524i | 0.136390 | + | 0.0720001i | ||||
\(172\) | 17.0401 | − | 13.0109i | 1.29929 | − | 0.992069i | ||||
\(173\) | −6.40332 | − | 6.40332i | −0.486836 | − | 0.486836i | 0.420471 | − | 0.907306i | \(-0.361865\pi\) |
−0.907306 | + | 0.420471i | \(0.861865\pi\) | |||||||
\(174\) | 3.55189 | − | 11.1074i | 0.269268 | − | 0.842053i | ||||
\(175\) | 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 | ||||
\(178\) | 9.29311 | + | 0.620231i | 0.696548 | + | 0.0464882i | ||||
\(179\) | − | 0.582525i | − | 0.0435399i | −0.999763 | − | 0.0217700i | \(-0.993070\pi\) | ||
0.999763 | − | 0.0217700i | \(-0.00693014\pi\) | |||||||
\(180\) | 13.2836 | − | 1.88324i | 0.990099 | − | 0.140369i | ||||
\(181\) | − | 3.71429i | − | 0.276081i | −0.990427 | − | 0.138040i | \(-0.955920\pi\) | ||
0.990427 | − | 0.138040i | \(-0.0440804\pi\) | |||||||
\(182\) | 0.238211 | − | 3.56918i | 0.0176573 | − | 0.264565i | ||||
\(183\) | −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 | ||||
\(186\) | −8.72098 | − | 2.78876i | −0.639453 | − | 0.204482i | ||||
\(187\) | 9.51693 | + | 9.51693i | 0.695947 | + | 0.695947i | ||||
\(188\) | −1.69509 | − | 2.22002i | −0.123627 | − | 0.161912i | ||||
\(189\) | 2.65577 | − | 0.151077i | 0.193179 | − | 0.0109892i | ||||
\(190\) | 1.63526 | − | 1.35843i | 0.118634 | − | 0.0985511i | ||||
\(191\) | 22.4496i | 1.62440i | 0.583380 | + | 0.812199i | \(0.301730\pi\) | ||||
−0.583380 | + | 0.812199i | \(0.698270\pi\) | |||||||
\(192\) | −11.0917 | − | 8.30507i | −0.800474 | − | 0.599367i | ||||
\(193\) | 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 | −0.651724 | − | 0.758456i | \(-0.725954\pi\) |
0.758456 | + | 0.651724i | \(0.225954\pi\) | |||||||
\(198\) | −9.51253 | − | 5.86308i | −0.676026 | − | 0.416671i | ||||
\(199\) | − | 12.6160i | − | 0.894328i | −0.894452 | − | 0.447164i | \(-0.852434\pi\) | ||
0.894452 | − | 0.447164i | \(-0.147566\pi\) | |||||||
\(200\) | 3.51329 | − | 13.6988i | 0.248427 | − | 0.968651i | ||||
\(201\) | −0.441490 | − | 0.732291i | −0.0311403 | − | 0.0516519i | ||||
\(202\) | −4.89431 | − | 0.326651i | −0.344363 | − | 0.0229831i | ||||
\(203\) | −1.72336 | − | 1.72336i | −0.120956 | − | 0.120956i | ||||
\(204\) | 7.04407 | + | 16.2400i | 0.493184 | + | 1.13703i | ||||
\(205\) | −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 | ||||
\(208\) | −17.1628 | + | 9.80011i | −1.19003 | + | 0.679515i | ||||
\(209\) | −1.77061 | −0.122476 | ||||||||
\(210\) | 0.922026 | − | 2.64803i | 0.0636258 | − | 0.182731i | ||||
\(211\) | − | 14.0010i | − | 0.963865i | −0.876208 | − | 0.481933i | \(-0.839935\pi\) | ||
0.876208 | − | 0.481933i | \(-0.160065\pi\) | |||||||
\(212\) | −1.10910 | − | 1.45257i | −0.0761736 | − | 0.0997630i | ||||
\(213\) | −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 | ||||
\(216\) | −8.80400 | − | 11.7682i | −0.599036 | − | 0.800722i | ||||
\(217\) | −1.35309 | + | 1.35309i | −0.0918537 | + | 0.0918537i | ||||
\(218\) | −5.84636 | − | 0.390192i | −0.395965 | − | 0.0264271i | ||||
\(219\) | 14.3241 | + | 23.7592i | 0.967935 | + | 1.60550i | ||||
\(220\) | −9.54140 | + | 6.90647i | −0.643281 | + | 0.465634i | ||||
\(221\) | 25.2486 | 1.69841 | ||||||||
\(222\) | −4.47781 | − | 8.68788i | −0.300531 | − | 0.583092i | ||||
\(223\) | −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 | −0.994237 | − | 0.107205i | \(-0.965810\pi\) |
0.107205 | + | 0.994237i | \(0.465810\pi\) | |||||||
\(228\) | −2.16599 | − | 0.855448i | −0.143446 | − | 0.0566534i | ||||
\(229\) | 15.7606 | 1.04149 | 0.520746 | − | 0.853712i | \(-0.325654\pi\) | ||||
0.520746 | + | 0.853712i | \(0.325654\pi\) | |||||||
\(230\) | −1.77827 | + | 19.2309i | −0.117256 | + | 1.26805i | ||||
\(231\) | −2.00000 | + | 1.20578i | −0.131590 | + | 0.0793343i | ||||
\(232\) | −2.67422 | + | 13.1974i | −0.175571 | + | 0.866449i | ||||
\(233\) | 13.0197 | − | 13.0197i | 0.852949 | − | 0.852949i | −0.137546 | − | 0.990495i | \(-0.543921\pi\) |
0.990495 | + | 0.137546i | \(0.0439215\pi\) | |||||||
\(234\) | −20.3959 | + | 4.84103i | −1.33332 | + | 0.316468i | ||||
\(235\) | −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 | ||||
\(238\) | 3.69139 | + | 0.246367i | 0.239278 | + | 0.0159696i | ||||
\(239\) | −24.8336 | −1.60635 | −0.803177 | − | 0.595740i | \(-0.796859\pi\) | ||||
−0.803177 | + | 0.595740i | \(0.796859\pi\) | |||||||
\(240\) | −15.0088 | + | 3.83888i | −0.968812 | + | 0.247798i | ||||
\(241\) | 17.2991 | 1.11433 | 0.557165 | − | 0.830402i | \(-0.311889\pi\) | ||||
0.557165 | + | 0.830402i | \(0.311889\pi\) | |||||||
\(242\) | −5.73336 | − | 0.382650i | −0.368555 | − | 0.0245977i | ||||
\(243\) | −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 | ||||
\(246\) | −3.05909 | + | 9.56636i | −0.195041 | + | 0.609929i | ||||
\(247\) | −2.34874 | + | 2.34874i | −0.149446 | + | 0.149446i | ||||
\(248\) | 10.3619 | + | 2.09966i | 0.657979 | + | 0.133328i | ||||
\(249\) | −10.7992 | − | 17.9125i | −0.684373 | − | 1.13516i | ||||
\(250\) | −9.46861 | − | 12.6628i | −0.598847 | − | 0.800863i | ||||
\(251\) | −1.05032 | −0.0662958 | −0.0331479 | − | 0.999450i | \(-0.510553\pi\) | ||||
−0.0331479 | + | 0.999450i | \(0.510553\pi\) | |||||||
\(252\) | −3.02916 | + | 0.508751i | −0.190819 | + | 0.0320483i | ||||
\(253\) | 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 | \(0.780981\pi\) | |||||||
\(258\) | −23.3400 | + | 12.0297i | −1.45309 | + | 0.748934i | ||||
\(259\) | −2.04270 | −0.126927 | ||||||||
\(260\) | −3.49527 | + | 21.8183i | −0.216767 | + | 1.35311i | ||||
\(261\) | −6.66761 | + | 12.6305i | −0.412715 | + | 0.781809i | ||||
\(262\) | −12.4099 | − | 0.828245i | −0.766683 | − | 0.0511692i | ||||
\(263\) | −7.49936 | + | 7.49936i | −0.462430 | + | 0.462430i | −0.899451 | − | 0.437021i | \(-0.856034\pi\) |
0.437021 | + | 0.899451i | \(0.356034\pi\) | |||||||
\(264\) | 11.6586 | + | 5.52834i | 0.717536 | + | 0.340246i | ||||
\(265\) | −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 | ||||
\(268\) | 0.599199 | + | 0.784759i | 0.0366019 | + | 0.0479368i | ||||
\(269\) | 21.1993i | 1.29254i | 0.763108 | + | 0.646271i | \(0.223673\pi\) | ||||
−0.763108 | + | 0.646271i | \(0.776327\pi\) | |||||||
\(270\) | −16.4214 | − | 0.581264i | −0.999374 | − | 0.0353746i | ||||
\(271\) | −14.6748 | −0.891431 | −0.445716 | − | 0.895175i | \(-0.647051\pi\) | ||||
−0.445716 | + | 0.895175i | \(0.647051\pi\) | |||||||
\(272\) | −10.1357 | − | 17.7505i | −0.614565 | − | 1.07628i | ||||
\(273\) | −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 | ||||
\(276\) | 19.4091 | − | 8.41866i | 1.16829 | − | 0.506744i | ||||
\(277\) | −8.79593 | − | 8.79593i | −0.528496 | − | 0.528496i | 0.391628 | − | 0.920124i | \(-0.371912\pi\) |
−0.920124 | + | 0.391628i | \(0.871912\pi\) | |||||||
\(278\) | −18.7712 | − | 1.25281i | −1.12582 | − | 0.0751384i | ||||
\(279\) | 9.91681 | + | 5.23506i | 0.593704 | + | 0.313415i | ||||
\(280\) | −0.723909 | + | 3.15577i | −0.0432618 | + | 0.188593i | ||||
\(281\) | 0.490821i | 0.0292799i | 0.999893 | + | 0.0146399i | \(0.00466021\pi\) | ||||
−0.999893 | + | 0.0146399i | \(0.995340\pi\) | |||||||
\(282\) | 1.56726 | + | 3.04080i | 0.0933287 | + | 0.181077i | ||||
\(283\) | −9.43710 | + | 9.43710i | −0.560978 | + | 0.560978i | −0.929585 | − | 0.368608i | \(-0.879835\pi\) |
0.368608 | + | 0.929585i | \(0.379835\pi\) | |||||||
\(284\) | 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 | ||||
\(288\) | 11.5910 | + | 12.3955i | 0.683006 | + | 0.730413i | ||||
\(289\) | 9.11317i | 0.536069i | ||||||||
\(290\) | 9.62005 | + | 11.5804i | 0.564909 | + | 0.680027i | ||||
\(291\) | 1.38631 | − | 0.835791i | 0.0812671 | − | 0.0489950i | ||||
\(292\) | −19.4410 | − | 25.4615i | −1.13770 | − | 1.49002i | ||||
\(293\) | −4.01316 | − | 4.01316i | −0.234451 | − | 0.234451i | 0.580096 | − | 0.814548i | \(-0.303015\pi\) |
−0.814548 | + | 0.580096i | \(0.803015\pi\) | |||||||
\(294\) | 5.02697 | − | 15.7203i | 0.293179 | − | 0.916826i | ||||
\(295\) | −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 | ||||
\(298\) | −0.492036 | + | 7.37233i | −0.0285029 | + | 0.427068i | ||||
\(299\) | − | 30.1757i | − | 1.74510i | ||||||
\(300\) | −7.17744 | + | 15.7634i | −0.414389 | + | 0.910100i | ||||
\(301\) | 5.48773i | 0.316307i | ||||||||
\(302\) | −16.7228 | − | 1.11609i | −0.962288 | − | 0.0642240i | ||||
\(303\) | 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 | ||||
\(306\) | −5.00679 | − | 21.0943i | −0.286219 | − | 1.20588i | ||||
\(307\) | −8.00887 | − | 8.00887i | −0.457091 | − | 0.457091i | 0.440609 | − | 0.897699i | \(-0.354763\pi\) |
−0.897699 | + | 0.440609i | \(0.854763\pi\) | |||||||
\(308\) | 2.14330 | − | 1.63650i | 0.122126 | − | 0.0932485i | ||||
\(309\) | −10.9878 | − | 18.2253i | −0.625076 | − | 1.03680i | ||||
\(310\) | 9.09235 | − | 7.55315i | 0.516411 | − | 0.428990i | ||||
\(311\) | 12.8874i | 0.730778i | 0.930855 | + | 0.365389i | \(0.119064\pi\) | ||||
−0.930855 | + | 0.365389i | \(0.880936\pi\) | |||||||
\(312\) | 22.7987 | − | 8.13185i | 1.29072 | − | 0.460375i | ||||
\(313\) | 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 | −0.398221 | − | 0.917290i | \(-0.630372\pi\) |
0.917290 | + | 0.398221i | \(0.130372\pi\) | |||||||
\(318\) | 1.02546 | + | 1.98961i | 0.0575050 | + | 0.111572i | ||||
\(319\) | − | 12.5390i | − | 0.702048i | ||||||
\(320\) | 16.7420 | − | 6.30135i | 0.935904 | − | 0.352256i | ||||
\(321\) | −6.52329 | + | 3.93281i | −0.364094 | + | 0.219508i | ||||
\(322\) | 0.294443 | − | 4.41174i | 0.0164087 | − | 0.245856i | ||||
\(323\) | −2.42916 | − | 2.42916i | −0.135162 | − | 0.135162i | ||||
\(324\) | 8.08900 | + | 16.0801i | 0.449389 | + | 0.893336i | ||||
\(325\) | 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 | ||||
\(328\) | 2.30319 | − | 11.3663i | 0.127173 | − | 0.627600i | ||||
\(329\) | 0.714956 | 0.0394168 | ||||||||
\(330\) | 12.9877 | − | 6.27910i | 0.714947 | − | 0.345653i | ||||
\(331\) | 22.2355i | 1.22218i | 0.791563 | + | 0.611088i | \(0.209268\pi\) | ||||
−0.791563 | + | 0.611088i | \(0.790732\pi\) | |||||||
\(332\) | 14.6569 | + | 19.1959i | 0.804403 | + | 1.05351i | ||||
\(333\) | 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 | ||||
\(336\) | 3.41255 | − | 0.966428i | 0.186170 | − | 0.0527230i | ||||
\(337\) | −8.98693 | + | 8.98693i | −0.489549 | + | 0.489549i | −0.908164 | − | 0.418615i | \(-0.862516\pi\) |
0.418615 | + | 0.908164i | \(0.362516\pi\) | |||||||
\(338\) | 1.07481 | − | 16.1042i | 0.0584620 | − | 0.875954i | ||||
\(339\) | 9.19375 | − | 5.54280i | 0.499336 | − | 0.301044i | ||||
\(340\) | −22.5654 | − | 3.61495i | −1.22378 | − | 0.196048i | ||||
\(341\) | −9.84494 | −0.533133 | ||||||||
\(342\) | 2.42803 | + | 1.49653i | 0.131293 | + | 0.0809229i | ||||
\(343\) | −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 | −0.413619 | − | 0.910450i | \(-0.635735\pi\) |
0.910450 | + | 0.413619i | \(0.135735\pi\) | |||||||
\(348\) | 6.05805 | − | 15.3389i | 0.324745 | − | 0.822253i | ||||
\(349\) | −17.5919 | −0.941671 | −0.470835 | − | 0.882221i | \(-0.656047\pi\) | ||||
−0.470835 | + | 0.882221i | \(0.656047\pi\) | |||||||
\(350\) | 2.24116 | + | 2.84268i | 0.119795 | + | 0.151948i | ||||
\(351\) | 25.6324 | − | 1.45813i | 1.36815 | − | 0.0778292i | ||||
\(352\) | −14.0795 | − | 4.87314i | −0.750440 | − | 0.259739i | ||||
\(353\) | −12.9654 | + | 12.9654i | −0.690077 | + | 0.690077i | −0.962249 | − | 0.272172i | \(-0.912258\pi\) |
0.272172 | + | 0.962249i | \(0.412258\pi\) | |||||||
\(354\) | −3.67251 | + | 11.4846i | −0.195192 | + | 0.610402i | ||||
\(355\) | −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 | ||||
\(358\) | 0.0548601 | − | 0.821985i | 0.00289945 | − | 0.0434433i | ||||
\(359\) | −16.5244 | −0.872125 | −0.436063 | − | 0.899916i | \(-0.643627\pi\) | ||||
−0.436063 | + | 0.899916i | \(0.643627\pi\) | |||||||
\(360\) | 18.9215 | − | 1.40639i | 0.997249 | − | 0.0741235i | ||||
\(361\) | −18.5481 | −0.976214 | ||||||||
\(362\) | 0.349798 | − | 5.24113i | 0.0183850 | − | 0.275468i | ||||
\(363\) | 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 | ||||
\(366\) | −4.53007 | + | 14.1664i | −0.236791 | + | 0.740489i | ||||
\(367\) | −24.4900 | + | 24.4900i | −1.27837 | + | 1.27837i | −0.336786 | + | 0.941581i | \(0.609340\pi\) |
−0.941581 | + | 0.336786i | \(0.890660\pi\) | |||||||
\(368\) | −21.2143 | + | 12.1136i | −1.10587 | + | 0.631463i | ||||
\(369\) | 5.74253 | − | 10.8781i | 0.298944 | − | 0.566292i | ||||
\(370\) | 12.5645 | + | 1.16183i | 0.653198 | + | 0.0604007i | ||||
\(371\) | 0.467798 | 0.0242869 | ||||||||
\(372\) | −12.0433 | − | 4.75646i | −0.624417 | − | 0.246611i | ||||
\(373\) | −0.406084 | + | 0.406084i | −0.0210262 | + | 0.0210262i | −0.717542 | − | 0.696516i | \(-0.754733\pi\) |
0.696516 | + | 0.717542i | \(0.254733\pi\) | |||||||
\(374\) | 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 | ||||
\(378\) | 3.76172 | + | 0.0369302i | 0.193482 | + | 0.00189948i | ||||
\(379\) | −5.73108 | −0.294386 | −0.147193 | − | 0.989108i | \(-0.547024\pi\) | ||||
−0.147193 | + | 0.989108i | \(0.547024\pi\) | |||||||
\(380\) | 2.43540 | − | 1.76285i | 0.124934 | − | 0.0904322i | ||||
\(381\) | −20.7404 | + | 12.5041i | −1.06256 | + | 0.640607i | ||||
\(382\) | −2.11423 | + | 31.6781i | −0.108173 | + | 1.62079i | ||||
\(383\) | 17.2603 | − | 17.2603i | 0.881958 | − | 0.881958i | −0.111775 | − | 0.993734i | \(-0.535654\pi\) |
0.993734 | + | 0.111775i | \(0.0356537\pi\) | |||||||
\(384\) | −14.8691 | − | 12.7637i | −0.758784 | − | 0.651342i | ||||
\(385\) | 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 | ||||
\(388\) | −1.48564 | + | 1.13435i | −0.0754219 | + | 0.0575880i | ||||
\(389\) | − | 27.9300i | − | 1.41611i | −0.706159 | − | 0.708053i | \(-0.749574\pi\) | ||
0.706159 | − | 0.708053i | \(-0.250426\pi\) | |||||||
\(390\) | 8.89899 | − | 25.5576i | 0.450618 | − | 1.29416i | ||||
\(391\) | 31.2089 | 1.57830 | ||||||||
\(392\) | −3.78481 | + | 18.6781i | −0.191162 | + | 0.943388i | ||||
\(393\) | 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 | ||||
\(396\) | −12.8707 | − | 9.16910i | −0.646778 | − | 0.460764i | ||||
\(397\) | −3.16232 | − | 3.16232i | −0.158712 | − | 0.158712i | 0.623284 | − | 0.781996i | \(-0.285798\pi\) |
−0.781996 | + | 0.623284i | \(0.785798\pi\) | |||||||
\(398\) | 1.18813 | − | 17.8022i | 0.0595558 | − | 0.892342i | ||||
\(399\) | 0.510492 | − | 0.307770i | 0.0255566 | − | 0.0154077i | ||||
\(400\) | 6.24762 | − | 18.9991i | 0.312381 | − | 0.949957i | ||||
\(401\) | 11.2530i | 0.561950i | 0.959715 | + | 0.280975i | \(0.0906578\pi\) | ||||
−0.959715 | + | 0.280975i | \(0.909342\pi\) | |||||||
\(402\) | −0.554010 | − | 1.07490i | −0.0276315 | − | 0.0536109i | ||||
\(403\) | −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 | ||||
\(408\) | 8.41028 | + | 23.5793i | 0.416371 | + | 1.16735i | ||||
\(409\) | 5.05965i | 0.250183i | 0.992145 | + | 0.125092i | \(0.0399225\pi\) | ||||
−0.992145 | + | 0.125092i | \(0.960077\pi\) | |||||||
\(410\) | −8.28533 | − | 9.97374i | −0.409184 | − | 0.492568i | ||||
\(411\) | −1.88212 | − | 3.12185i | −0.0928384 | − | 0.153989i | ||||
\(412\) | 14.9129 | + | 19.5311i | 0.734706 | + | 0.962229i | ||||
\(413\) | 1.78188 | + | 1.78188i | 0.0876806 | + | 0.0876806i | ||||
\(414\) | −25.2106 | + | 5.98382i | −1.23904 | + | 0.294089i | ||||
\(415\) | 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 | ||||
\(418\) | −2.49846 | − | 0.166750i | −0.122204 | − | 0.00815600i | ||||
\(419\) | 25.1822i | 1.23023i | 0.788436 | + | 0.615116i | \(0.210891\pi\) | ||||
−0.788436 | + | 0.615116i | \(0.789109\pi\) | |||||||
\(420\) | 1.55043 | − | 3.64973i | 0.0756532 | − | 0.178089i | ||||
\(421\) | − | 31.5091i | − | 1.53566i | −0.640654 | − | 0.767830i | \(-0.721336\pi\) | ||
0.640654 | − | 0.767830i | \(-0.278664\pi\) | |||||||
\(422\) | 1.31856 | − | 19.7564i | 0.0641865 | − | 0.961726i | ||||
\(423\) | −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 | ||||
\(426\) | −6.44383 | + | 20.1511i | −0.312205 | + | 0.976323i | ||||
\(427\) | 2.19796 | + | 2.19796i | 0.106367 | + | 0.106367i | ||||
\(428\) | 6.99067 | − | 5.33769i | 0.337907 | − | 0.258007i | ||||
\(429\) | −19.3031 | + | 11.6376i | −0.931963 | + | 0.561870i | ||||
\(430\) | 3.12126 | − | 33.7546i | 0.150521 | − | 1.62779i | ||||
\(431\) | − | 13.6082i | − | 0.655482i | −0.944768 | − | 0.327741i | \(-0.893713\pi\) | ||
0.944768 | − | 0.327741i | \(-0.106287\pi\) | |||||||
\(432\) | −11.3148 | − | 17.4349i | −0.544384 | − | 0.838836i | ||||
\(433\) | 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 | ||||
\(438\) | 17.9749 | + | 34.8750i | 0.858872 | + | 1.66639i | ||||
\(439\) | 5.56599i | 0.265650i | 0.991139 | + | 0.132825i | \(0.0424049\pi\) | ||||
−0.991139 | + | 0.132825i | \(0.957595\pi\) | |||||||
\(440\) | −14.1140 | + | 8.84697i | −0.672861 | + | 0.421763i | ||||
\(441\) | −9.43663 | + | 17.8759i | −0.449363 | + | 0.851232i | ||||
\(442\) | 35.6277 | + | 2.37783i | 1.69464 | + | 0.113102i | ||||
\(443\) | −3.53450 | − | 3.53450i | −0.167929 | − | 0.167929i | 0.618139 | − | 0.786069i | \(-0.287887\pi\) |
−0.786069 | + | 0.618139i | \(0.787887\pi\) | |||||||
\(444\) | −5.50033 | − | 12.6809i | −0.261034 | − | 0.601811i | ||||
\(445\) | 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 | ||||
\(448\) | −3.79481 | + | 1.54015i | −0.179288 | + | 0.0727653i | ||||
\(449\) | 21.1895 | 0.999995 | 0.499998 | − | 0.866027i | \(-0.333334\pi\) | ||||
0.499998 | + | 0.866027i | \(0.333334\pi\) | |||||||
\(450\) | 12.0389 | − | 17.4661i | 0.567517 | − | 0.823361i | ||||
\(451\) | 10.7993i | 0.508518i | ||||||||
\(452\) | −9.85246 | + | 7.52280i | −0.463421 | + | 0.353843i | ||||
\(453\) | 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 | ||||
\(456\) | −2.97581 | − | 1.41109i | −0.139355 | − | 0.0660802i | ||||
\(457\) | 16.8790 | − | 16.8790i | 0.789566 | − | 0.789566i | −0.191857 | − | 0.981423i | \(-0.561451\pi\) |
0.981423 | + | 0.191857i | \(0.0614509\pi\) | |||||||
\(458\) | 22.2394 | + | 1.48428i | 1.03918 | + | 0.0693558i | ||||
\(459\) | 1.50806 | + | 26.5100i | 0.0703901 | + | 1.23738i | ||||
\(460\) | −4.32037 | + | 26.9688i | −0.201438 | + | 1.25743i | ||||
\(461\) | 3.58886 | 0.167150 | 0.0835749 | − | 0.996502i | \(-0.473366\pi\) | ||||
0.0835749 | + | 0.996502i | \(0.473366\pi\) | |||||||
\(462\) | −2.93570 | + | 1.51309i | −0.136581 | + | 0.0703952i | ||||
\(463\) | −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 | −0.999809 | − | 0.0195348i | \(-0.993781\pi\) |
0.0195348 | + | 0.999809i | \(0.493781\pi\) | |||||||
\(468\) | −29.2361 | + | 4.91024i | −1.35144 | + | 0.226976i | ||||
\(469\) | −0.252730 | −0.0116700 | ||||||||
\(470\) | −4.39764 | − | 0.406647i | −0.202848 | − | 0.0187572i | ||||
\(471\) | −17.6454 | − | 29.2682i | −0.813058 | − | 1.34861i | ||||
\(472\) | 2.76504 | − | 13.6455i | 0.127271 | − | 0.628086i | ||||
\(473\) | −19.9641 | + | 19.9641i | −0.917949 | + | 0.917949i | ||||
\(474\) | 3.04178 | − | 9.51223i | 0.139714 | − | 0.436911i | ||||
\(475\) | 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 | ||||
\(478\) | −35.0421 | − | 2.33874i | −1.60279 | − | 0.106972i | ||||
\(479\) | 2.58847 | 0.118270 | 0.0591350 | − | 0.998250i | \(-0.481166\pi\) | ||||
0.0591350 | + | 0.998250i | \(0.481166\pi\) | |||||||
\(480\) | −21.5400 | + | 4.00347i | −0.983163 | + | 0.182732i | ||||
\(481\) | −19.7153 | −0.898939 | ||||||||
\(482\) | 24.4103 | + | 1.62916i | 1.11186 | + | 0.0742063i | ||||
\(483\) | −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 | ||||
\(486\) | −6.30110 | − | 21.1257i | −0.285824 | − | 0.958282i | ||||
\(487\) | 8.29975 | − | 8.29975i | 0.376098 | − | 0.376098i | −0.493595 | − | 0.869692i | \(-0.664317\pi\) |
0.869692 | + | 0.493595i | \(0.164317\pi\) | |||||||
\(488\) | 3.41069 | − | 16.8319i | 0.154395 | − | 0.761942i | ||||
\(489\) | −13.9801 | + | 8.42842i | −0.632201 | + | 0.381146i | ||||
\(490\) | 13.6152 | + | 16.3897i | 0.615072 | + | 0.740412i | ||||
\(491\) | 25.3703 | 1.14494 | 0.572472 | − | 0.819924i | \(-0.305985\pi\) | ||||
0.572472 | + | 0.819924i | \(0.305985\pi\) | |||||||
\(492\) | −5.21753 | + | 13.2108i | −0.235225 | + | 0.595587i | ||||
\(493\) | 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 | ||||
\(498\) | −13.5516 | − | 26.2929i | −0.607261 | − | 1.17821i | ||||
\(499\) | 28.6742 | 1.28363 | 0.641816 | − | 0.766859i | \(-0.278181\pi\) | ||||
0.641816 | + | 0.766859i | \(0.278181\pi\) | |||||||
\(500\) | −12.1684 | − | 18.7598i | −0.544186 | − | 0.838964i | ||||
\(501\) | −19.7870 | − | 32.8204i | −0.884018 | − | 1.46631i | ||||
\(502\) | −1.48208 | − | 0.0989156i | −0.0661486 | − | 0.00441482i | ||||
\(503\) | 5.46994 | − | 5.46994i | 0.243893 | − | 0.243893i | −0.574566 | − | 0.818458i | \(-0.694829\pi\) |
0.818458 | + | 0.574566i | \(0.194829\pi\) | |||||||
\(504\) | −4.32228 | + | 0.432611i | −0.192529 | + | 0.0192700i | ||||
\(505\) | −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 | ||||
\(508\) | 22.2264 | − | 16.9709i | 0.986138 | − | 0.752961i | ||||
\(509\) | 21.6722i | 0.960605i | 0.877103 | + | 0.480303i | \(0.159473\pi\) | ||||
−0.877103 | + | 0.480303i | \(0.840527\pi\) | |||||||
\(510\) | 26.4327 | + | 9.20370i | 1.17046 | + | 0.407547i | ||||
\(511\) | 8.19983 | 0.362739 | ||||||||
\(512\) | 18.6780 | + | 12.7723i | 0.825460 | + | 0.564460i | ||||
\(513\) | −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 | ||||
\(516\) | −34.0674 | + | 14.7767i | −1.49974 | + | 0.650506i | ||||
\(517\) | 2.60097 | + | 2.60097i | 0.114391 | + | 0.114391i | ||||
\(518\) | −2.88240 | − | 0.192374i | −0.126646 | − | 0.00845244i | ||||
\(519\) | 8.09831 | + | 13.4325i | 0.355476 | + | 0.589622i | ||||
\(520\) | −6.98685 | + | 30.4581i | −0.306394 | + | 1.33567i | ||||
\(521\) | − | 13.0236i | − | 0.570576i | −0.958442 | − | 0.285288i | \(-0.907911\pi\) | ||
0.958442 | − | 0.285288i | \(-0.0920893\pi\) | |||||||
\(522\) | −10.5980 | + | 17.1947i | −0.463861 | + | 0.752590i | ||||
\(523\) | −1.57962 | + | 1.57962i | −0.0690720 | + | 0.0690720i | −0.740799 | − | 0.671727i | \(-0.765553\pi\) |
0.671727 | + | 0.740799i | \(0.265553\pi\) | |||||||
\(524\) | −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 | ||||
\(528\) | 15.9305 | + | 8.89886i | 0.693286 | + | 0.387273i | ||||
\(529\) | − | 14.2991i | − | 0.621698i | ||||||
\(530\) | −2.87739 | − | 0.266070i | −0.124986 | − | 0.0115574i | ||||
\(531\) | 6.89403 | − | 13.0594i | 0.299176 | − | 0.566731i | ||||
\(532\) | −0.547068 | + | 0.417711i | −0.0237184 | + | 0.0181101i | ||||
\(533\) | 14.3254 | + | 14.3254i | 0.620501 | + | 0.620501i | ||||
\(534\) | −15.3654 | − | 4.91350i | −0.664928 | − | 0.212628i | ||||
\(535\) | 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 | ||||
\(538\) | −1.99647 | + | 29.9137i | −0.0860740 | + | 1.28967i | ||||
\(539\) | − | 17.7463i | − | 0.764388i | ||||||
\(540\) | −23.1171 | − | 2.36671i | −0.994800 | − | 0.101847i | ||||
\(541\) | 38.6062i | 1.65981i | 0.557903 | + | 0.829906i | \(0.311606\pi\) | ||||
−0.557903 | + | 0.829906i | \(0.688394\pi\) | |||||||
\(542\) | −20.7072 | − | 1.38202i | −0.889452 | − | 0.0593629i | ||||
\(543\) | −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 | ||||
\(546\) | −1.88712 | + | 5.90137i | −0.0807612 | + | 0.252556i | ||||
\(547\) | 16.8276 | + | 16.8276i | 0.719498 | + | 0.719498i | 0.968502 | − | 0.249005i | \(-0.0801034\pi\) |
−0.249005 | + | 0.968502i | \(0.580103\pi\) | |||||||
\(548\) | 2.55446 | + | 3.34552i | 0.109121 | + | 0.142914i | ||||
\(549\) | 8.50384 | − | 16.1089i | 0.362935 | − | 0.687511i | ||||
\(550\) | −2.18829 | + | 18.4947i | −0.0933090 | + | 0.788618i | ||||
\(551\) | 3.20052i | 0.136347i | ||||||||
\(552\) | 28.1806 | − | 10.0515i | 1.19945 | − | 0.427819i | ||||
\(553\) | −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 | −0.283337 | − | 0.959020i | \(-0.591441\pi\) |
0.959020 | + | 0.283337i | \(0.0914414\pi\) | |||||||
\(558\) | 13.5003 | + | 8.32098i | 0.571515 | + | 0.352255i | ||||
\(559\) | 52.9651i | 2.24019i | ||||||||
\(560\) | −1.31869 | + | 4.38484i | −0.0557247 | + | 0.185294i | ||||
\(561\) | −12.0361 | − | 19.9641i | −0.508165 | − | 0.842884i | ||||
\(562\) | −0.0462237 | + | 0.692584i | −0.00194983 | + | 0.0292149i | ||||
\(563\) | −2.27954 | − | 2.27954i | −0.0960712 | − | 0.0960712i | 0.657438 | − | 0.753509i | \(-0.271640\pi\) |
−0.753509 | + | 0.657438i | \(0.771640\pi\) | |||||||
\(564\) | 1.92514 | + | 4.43839i | 0.0810631 | + | 0.186890i | ||||
\(565\) | −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 | ||||
\(568\) | 4.85156 | − | 23.9426i | 0.203567 | − | 1.00461i | ||||
\(569\) | 38.0835 | 1.59654 | 0.798272 | − | 0.602297i | \(-0.205748\pi\) | ||||
0.798272 | + | 0.602297i | \(0.205748\pi\) | |||||||
\(570\) | −3.31505 | + | 1.60271i | −0.138852 | + | 0.0671303i | ||||
\(571\) | − | 39.4382i | − | 1.65044i | −0.564815 | − | 0.825218i | \(-0.691052\pi\) | ||
0.564815 | − | 0.825218i | \(-0.308948\pi\) | |||||||
\(572\) | 20.6861 | − | 15.7948i | 0.864931 | − | 0.660414i | ||||
\(573\) | 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 | ||||
\(576\) | 15.1884 | + | 18.5826i | 0.632850 | + | 0.774275i | ||||
\(577\) | 15.6617 | − | 15.6617i | 0.652007 | − | 0.652007i | −0.301469 | − | 0.953476i | \(-0.597477\pi\) |
0.953476 | + | 0.301469i | \(0.0974770\pi\) | |||||||
\(578\) | −0.858246 | + | 12.8594i | −0.0356983 | + | 0.534879i | ||||
\(579\) | −10.1353 | − | 16.8112i | −0.421208 | − | 0.698650i | ||||
\(580\) | 12.4840 | + | 17.2469i | 0.518370 | + | 0.716137i | ||||
\(581\) | −6.18200 | −0.256473 | ||||||||
\(582\) | 2.03490 | − | 1.04881i | 0.0843494 | − | 0.0434744i | ||||
\(583\) | 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 | −0.853190 | − | 0.521600i | \(-0.825335\pi\) |
0.521600 | + | 0.853190i | \(0.325335\pi\) | |||||||
\(588\) | 8.57391 | − | 21.7091i | 0.353582 | − | 0.895267i | ||||
\(589\) | 2.51288 | 0.103541 | ||||||||
\(590\) | −9.94673 | − | 11.9737i | −0.409501 | − | 0.492949i | ||||
\(591\) | −3.14255 | + | 1.89461i | −0.129267 | + | 0.0779338i | ||||
\(592\) | 7.91438 | + | 13.8604i | 0.325279 | + | 0.569657i | ||||
\(593\) | 15.7097 | − | 15.7097i | 0.645122 | − | 0.645122i | −0.306688 | − | 0.951810i | \(-0.599221\pi\) |
0.951810 | + | 0.306688i | \(0.0992209\pi\) | |||||||
\(594\) | 13.5506 | + | 13.8193i | 0.555988 | + | 0.567013i | ||||
\(595\) | 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 | ||||
\(598\) | 2.84184 | − | 42.5801i | 0.116211 | − | 1.74123i | ||||
\(599\) | 16.2242 | 0.662902 | 0.331451 | − | 0.943473i | \(-0.392462\pi\) | ||||
0.331451 | + | 0.943473i | \(0.392462\pi\) | |||||||
\(600\) | −11.6124 | + | 21.5674i | −0.474076 | + | 0.880484i | ||||
\(601\) | 30.2446 | 1.23370 | 0.616852 | − | 0.787079i | \(-0.288408\pi\) | ||||
0.616852 | + | 0.787079i | \(0.288408\pi\) | |||||||
\(602\) | −0.516815 | + | 7.74359i | −0.0210638 | + | 0.315605i | ||||
\(603\) | 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 | ||||
\(606\) | 8.09238 | + | 2.58775i | 0.328730 | + | 0.105120i | ||||
\(607\) | 26.6799 | − | 26.6799i | 1.08290 | − | 1.08290i | 0.0866645 | − | 0.996238i | \(-0.472379\pi\) |
0.996238 | − | 0.0866645i | \(-0.0276208\pi\) | |||||||
\(608\) | 3.59374 | + | 1.24385i | 0.145745 | + | 0.0504448i | ||||
\(609\) | 2.17954 | + | 3.61516i | 0.0883194 | + | 0.146494i | ||||
\(610\) | −12.2694 | − | 14.7697i | −0.496772 | − | 0.598006i | ||||
\(611\) | 6.90044 | 0.279162 | ||||||||
\(612\) | −5.07837 | − | 30.2371i | −0.205281 | − | 1.22226i | ||||
\(613\) | −11.2416 | + | 11.2416i | −0.454046 | + | 0.454046i | −0.896695 | − | 0.442649i | \(-0.854039\pi\) |
0.442649 | + | 0.896695i | \(0.354039\pi\) | |||||||
\(614\) | −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 | \(0.601095\pi\) | |||||||
\(618\) | −13.7882 | − | 26.7521i | −0.554645 | − | 1.07613i | ||||
\(619\) | 39.2267 | 1.57665 | 0.788327 | − | 0.615256i | \(-0.210948\pi\) | ||||
0.788327 | + | 0.615256i | \(0.210948\pi\) | |||||||
\(620\) | 13.5413 | − | 9.80178i | 0.543832 | − | 0.393649i | ||||
\(621\) | 31.6832 | − | 1.80234i | 1.27140 | − | 0.0723254i | ||||
\(622\) | −1.21369 | + | 18.1851i | −0.0486645 | + | 0.729156i | ||||
\(623\) | −2.38400 | + | 2.38400i | −0.0955130 | + | 0.0955130i | ||||
\(624\) | 32.9364 | − | 9.32754i | 1.31851 | − | 0.373401i | ||||
\(625\) | −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 | ||||
\(628\) | 23.9487 | + | 31.3652i | 0.955658 | + | 1.25161i | ||||
\(629\) | − | 20.3903i | − | 0.813016i | ||||||
\(630\) | −2.65309 | + | 4.06788i | −0.105701 | + | 0.162068i | ||||
\(631\) | 9.52029 | 0.378997 | 0.189498 | − | 0.981881i | \(-0.439314\pi\) | ||||
0.189498 | + | 0.981881i | \(0.439314\pi\) | |||||||
\(632\) | −2.29016 | + | 11.3020i | −0.0910977 | + | 0.449569i | ||||
\(633\) | −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 | ||||
\(636\) | 1.25963 | + | 2.90406i | 0.0499475 | + | 0.115153i | ||||
\(637\) | −23.5407 | − | 23.5407i | −0.932717 | − | 0.932717i | ||||
\(638\) | 1.18088 | − | 17.6934i | 0.0467513 | − | 0.700489i | ||||
\(639\) | 12.0963 | − | 22.9142i | 0.478524 | − | 0.906472i | ||||
\(640\) | 24.2176 | − | 7.31497i | 0.957284 | − | 0.289150i | ||||
\(641\) | − | 42.2578i | − | 1.66908i | −0.550945 | − | 0.834541i | \(-0.685733\pi\) | ||
0.550945 | − | 0.834541i | \(-0.314267\pi\) | |||||||
\(642\) | −9.57522 | + | 4.93515i | −0.377904 | + | 0.194775i | ||||
\(643\) | −15.1060 | + | 15.1060i | −0.595722 | + | 0.595722i | −0.939171 | − | 0.343449i | \(-0.888405\pi\) |
0.343449 | + | 0.939171i | \(0.388405\pi\) | |||||||
\(644\) | 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 | \(0.650067\pi\) | |||||||
\(648\) | 9.89982 | + | 23.4519i | 0.388902 | + | 0.921279i | ||||
\(649\) | 12.9648i | 0.508912i | ||||||||
\(650\) | 21.6307 | + | 27.4363i | 0.848426 | + | 1.07614i | ||||
\(651\) | 2.83843 | − | 1.71126i | 0.111247 | − | 0.0670695i | ||||
\(652\) | 14.9817 | − | 11.4392i | 0.586729 | − | 0.447995i | ||||
\(653\) | −15.4673 | − | 15.4673i | −0.605283 | − | 0.605283i | 0.336426 | − | 0.941710i | \(-0.390782\pi\) |
−0.941710 | + | 0.336426i | \(0.890782\pi\) | |||||||
\(654\) | 9.66651 | + | 3.09112i | 0.377991 | + | 0.120872i | ||||
\(655\) | −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 | ||||
\(658\) | 1.00886 | + | 0.0673320i | 0.0393293 | + | 0.00262487i | ||||
\(659\) | 5.93274i | 0.231107i | 0.993301 | + | 0.115553i | \(0.0368641\pi\) | ||||
−0.993301 | + | 0.115553i | \(0.963136\pi\) | |||||||
\(660\) | 18.9179 | − | 7.63714i | 0.736378 | − | 0.297275i | ||||
\(661\) | 28.1054i | 1.09317i | 0.837403 | + | 0.546586i | \(0.184073\pi\) | ||||
−0.837403 | + | 0.546586i | \(0.815927\pi\) | |||||||
\(662\) | −2.09406 | + | 31.3760i | −0.0813881 | + | 1.21946i | ||||
\(663\) | −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 | ||||
\(666\) | 3.90953 | + | 16.4714i | 0.151491 | + | 0.638252i | ||||
\(667\) | −20.5596 | − | 20.5596i | −0.796069 | − | 0.796069i | ||||
\(668\) | 26.8553 | + | 35.1719i | 1.03906 | + | 1.36084i | ||||
\(669\) | 3.24434 | + | 5.38133i | 0.125433 | + | 0.208054i | ||||
\(670\) | 1.55453 | + | 0.143746i | 0.0600566 | + | 0.00555339i | ||||
\(671\) | 15.9922i | 0.617370i | ||||||||
\(672\) | 4.90638 | − | 1.04232i | 0.189268 | − | 0.0402084i | ||||
\(673\) | −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 | \(0.528380\pi\) |
−0.996028 | + | 0.0890415i | \(0.971620\pi\) | |||||||
\(678\) | 13.4951 | − | 6.95547i | 0.518275 | − | 0.267123i | ||||
\(679\) | − | 0.478448i | − | 0.0183611i | ||||||
\(680\) | −31.5010 | − | 7.22608i | −1.20801 | − | 0.277108i | ||||
\(681\) | 28.0352 | − | 16.9021i | 1.07431 | − | 0.647691i | ||||
\(682\) | −13.8919 | − | 0.927161i | −0.531950 | − | 0.0355028i | ||||
\(683\) | −26.1080 | − | 26.1080i | −0.998996 | − | 0.998996i | 0.00100333 | − | 0.999999i | \(-0.499681\pi\) |
−0.999999 | + | 0.00100333i | \(0.999681\pi\) | |||||||
\(684\) | 3.28520 | + | 2.34037i | 0.125613 | + | 0.0894865i | ||||
\(685\) | 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 | ||||
\(688\) | 37.2359 | − | 21.2620i | 1.41961 | − | 0.810607i | ||||
\(689\) | 4.51498 | 0.172007 | ||||||||
\(690\) | 10.9997 | − | 31.5908i | 0.418752 | − | 1.20264i | ||||
\(691\) | 9.65683i | 0.367363i | 0.982986 | + | 0.183682i | \(0.0588015\pi\) | ||||
−0.982986 | + | 0.183682i | \(0.941198\pi\) | |||||||
\(692\) | −10.9912 | − | 14.3949i | −0.417822 | − | 0.547213i | ||||
\(693\) | 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 | ||||
\(696\) | 9.99292 | − | 21.0738i | 0.378781 | − | 0.798802i | ||||
\(697\) | −14.8159 | + | 14.8159i | −0.561191 | + | 0.561191i | ||||
\(698\) | −24.8234 | − | 1.65674i | −0.939580 | − | 0.0627085i | ||||
\(699\) | −27.3120 | + | 16.4661i | −1.03303 | + | 0.622804i | ||||
\(700\) | 2.89473 | + | 4.22230i | 0.109411 | + | 0.159588i | ||||
\(701\) | 22.2509 | 0.840403 | 0.420202 | − | 0.907431i | \(-0.361959\pi\) | ||||
0.420202 | + | 0.907431i | \(0.361959\pi\) | |||||||
\(702\) | 36.3065 | + | 0.356434i | 1.37030 | + | 0.0134527i | ||||
\(703\) | 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 | ||||
\(708\) | −6.26377 | + | 15.8598i | −0.235407 | + | 0.596048i | ||||
\(709\) | −22.1309 | −0.831144 | −0.415572 | − | 0.909560i | \(-0.636419\pi\) | ||||
−0.415572 | + | 0.909560i | \(0.636419\pi\) | |||||||
\(710\) | −17.4527 | − | 21.0092i | −0.654986 | − | 0.788461i | ||||
\(711\) | −5.71003 | + | 10.8166i | −0.214143 | + | 0.405653i | ||||
\(712\) | 18.2565 | + | 3.69938i | 0.684192 | + | 0.138640i | ||||
\(713\) | −16.1423 | + | 16.1423i | −0.604533 | + | 0.604533i | ||||
\(714\) | −6.10344 | − | 1.95173i | −0.228416 | − | 0.0730418i | ||||
\(715\) | 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 | ||||
\(718\) | −23.3172 | − | 1.55621i | −0.870189 | − | 0.0580772i | ||||
\(719\) | −4.65932 | −0.173763 | −0.0868817 | − | 0.996219i | \(-0.527690\pi\) | ||||
−0.0868817 | + | 0.996219i | \(0.527690\pi\) | |||||||
\(720\) | 26.8321 | − | 0.202570i | 0.999972 | − | 0.00754934i | ||||
\(721\) | −6.28997 | −0.234251 | ||||||||
\(722\) | −26.1727 | − | 1.74679i | −0.974047 | − | 0.0650088i | ||||
\(723\) | −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 | ||||
\(726\) | 9.47968 | + | 3.03138i | 0.351824 | + | 0.112505i | ||||
\(727\) | −28.8504 | + | 28.8504i | −1.07000 | + | 1.07000i | −0.0726443 | + | 0.997358i | \(0.523144\pi\) |
−0.997358 | + | 0.0726443i | \(0.976856\pi\) | |||||||
\(728\) | 1.42081 | − | 7.01174i | 0.0526588 | − | 0.259872i | ||||
\(729\) | 3.06195 | + | 26.8258i | 0.113406 | + | 0.993549i | ||||
\(730\) | −50.4366 | − | 4.66383i | −1.86674 | − | 0.172616i | ||||
\(731\) | −54.7787 | −2.02606 | ||||||||
\(732\) | −7.72641 | + | 19.5632i | −0.285576 | + | 0.723077i | ||||
\(733\) | −23.8359 | + | 23.8359i | −0.880398 | + | 0.880398i | −0.993575 | − | 0.113177i | \(-0.963897\pi\) |
0.113177 | + | 0.993575i | \(0.463897\pi\) | |||||||
\(734\) | −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 | ||||
\(738\) | 9.12759 | − | 14.8090i | 0.335991 | − | 0.545128i | ||||
\(739\) | −29.6476 | −1.09060 | −0.545302 | − | 0.838240i | \(-0.683585\pi\) | ||||
−0.545302 | + | 0.838240i | \(0.683585\pi\) | |||||||
\(740\) | 17.6200 | + | 2.82271i | 0.647726 | + | 0.103765i | ||||
\(741\) | 4.92704 | − | 2.97046i | 0.180999 | − | 0.109122i | ||||
\(742\) | 0.660098 | + | 0.0440556i | 0.0242330 | + | 0.00161733i | ||||
\(743\) | 8.41878 | − | 8.41878i | 0.308855 | − | 0.308855i | −0.535610 | − | 0.844465i | \(-0.679918\pi\) |
0.844465 | + | 0.535610i | \(0.179918\pi\) | |||||||
\(744\) | −16.5461 | − | 7.84591i | −0.606608 | − | 0.287645i | ||||
\(745\) | 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 | ||||
\(748\) | 16.3356 | + | 21.3945i | 0.597290 | + | 0.782259i | ||||
\(749\) | 2.25134i | 0.0822620i | ||||||||
\(750\) | 10.6446 | + | 25.2328i | 0.388685 | + | 0.921371i | ||||
\(751\) | −31.5577 | −1.15156 | −0.575778 | − | 0.817606i | \(-0.695301\pi\) | ||||
−0.575778 | + | 0.817606i | \(0.695301\pi\) | |||||||
\(752\) | −2.77007 | − | 4.85119i | −0.101014 | − | 0.176905i | ||||
\(753\) | 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 | ||||
\(756\) | 5.30459 | + | 0.406377i | 0.192926 | + | 0.0147798i | ||||
\(757\) | −25.5118 | − | 25.5118i | −0.927244 | − | 0.927244i | 0.0702832 | − | 0.997527i | \(-0.477610\pi\) |
−0.997527 | + | 0.0702832i | \(0.977610\pi\) | |||||||
\(758\) | −8.08698 | − | 0.539733i | −0.293732 | − | 0.0196040i | ||||
\(759\) | −23.8599 | + | 14.3848i | −0.866059 | + | 0.522137i | ||||
\(760\) | 3.60255 | − | 2.25815i | 0.130678 | − | 0.0819118i | ||||
\(761\) | − | 2.30287i | − | 0.0834789i | −0.999129 | − | 0.0417394i | \(-0.986710\pi\) | ||
0.999129 | − | 0.0417394i | \(-0.0132899\pi\) | |||||||
\(762\) | −30.4439 | + | 15.6910i | −1.10286 | + | 0.568426i | ||||
\(763\) | 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 | ||||
\(768\) | −19.7793 | − | 19.4108i | −0.713725 | − | 0.700426i | ||||
\(769\) | − | 46.5571i | − | 1.67889i | −0.543442 | − | 0.839447i | \(-0.682879\pi\) | ||
0.543442 | − | 0.839447i | \(-0.317121\pi\) | |||||||
\(770\) | 0.392592 | − | 4.24565i | 0.0141480 | − | 0.153003i | ||||
\(771\) | 2.78633 | + | 4.62164i | 0.100347 | + | 0.166444i | ||||
\(772\) | 13.7558 | + | 18.0157i | 0.495082 | + | 0.648399i | ||||
\(773\) | 19.2506 | + | 19.2506i | 0.692397 | + | 0.692397i | 0.962759 | − | 0.270362i | \(-0.0871434\pi\) |
−0.270362 | + | 0.962759i | \(0.587143\pi\) | |||||||
\(774\) | 44.2504 | − | 10.5030i | 1.59055 | − | 0.377521i | ||||
\(775\) | 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 | ||||
\(778\) | 2.63035 | − | 39.4113i | 0.0943024 | − | 1.41296i | ||||
\(779\) | − | 2.75647i | − | 0.0987608i | ||||||
\(780\) | 14.9641 | − | 35.2256i | 0.535799 | − | 1.26128i | ||||
\(781\) | 22.7481i | 0.813993i | ||||||||
\(782\) | 44.0381 | + | 2.93914i | 1.57480 | + | 0.105104i | ||||
\(783\) | 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 | ||||
\(786\) | 20.5188 | + | 6.56141i | 0.731880 | + | 0.234038i | ||||
\(787\) | −3.79411 | − | 3.79411i | −0.135246 | − | 0.135246i | 0.636243 | − | 0.771489i | \(-0.280488\pi\) |
−0.771489 | + | 0.636243i | \(0.780488\pi\) | |||||||
\(788\) | 3.36771 | − | 2.57140i | 0.119970 | − | 0.0916023i | ||||
\(789\) | 15.7317 | − | 9.48447i | 0.560064 | − | 0.337656i | ||||
\(790\) | 8.23845 | + | 9.91730i | 0.293111 | + | 0.352842i | ||||
\(791\) | − | 3.17297i | − | 0.112818i | ||||||
\(792\) | −17.2980 | − | 14.1504i | −0.614659 | − | 0.502812i | ||||
\(793\) | 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 | \(-0.478470\pi\) |
0.997713 | − | 0.0675880i | \(-0.0215303\pi\) | |||||||
\(798\) | 0.749327 | − | 0.386209i | 0.0265259 | − | 0.0136717i | ||||
\(799\) | 7.13671i | 0.252479i | ||||||||
\(800\) | 10.6051 | − | 26.2208i | 0.374948 | − | 0.927046i | ||||
\(801\) | 17.4724 | + | 9.22362i | 0.617356 | + | 0.325901i | ||||
\(802\) | −1.05977 | + | 15.8789i | −0.0374218 | + | 0.560702i | ||||
\(803\) | 29.8306 | + | 29.8306i | 1.05270 | + | 1.05270i | ||||
\(804\) | −0.680520 | − | 1.56893i | −0.0240001 | − | 0.0553320i | ||||
\(805\) | −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 | ||||
\(808\) | −9.61499 | − | 1.94832i | −0.338254 | − | 0.0685416i | ||||
\(809\) | −21.7890 | −0.766061 | −0.383031 | − | 0.923736i | \(-0.625120\pi\) | ||||
−0.383031 | + | 0.923736i | \(0.625120\pi\) | |||||||
\(810\) | 27.3659 | + | 7.81706i | 0.961540 | + | 0.274663i | ||||
\(811\) | − | 2.48698i | − | 0.0873295i | −0.999046 | − | 0.0436648i | \(-0.986097\pi\) | ||
0.999046 | − | 0.0436648i | \(-0.0139033\pi\) | |||||||
\(812\) | −2.95811 | − | 3.87418i | −0.103809 | − | 0.135957i | ||||
\(813\) | 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 | ||||
\(816\) | 9.64692 | + | 34.0642i | 0.337710 | + | 1.19249i | ||||
\(817\) | 5.09575 | − | 5.09575i | 0.178278 | − | 0.178278i | ||||
\(818\) | −0.476499 | + | 7.13954i | −0.0166604 | + | 0.249628i | ||||
\(819\) | 3.54250 | − | 6.71058i | 0.123785 | − | 0.234487i | ||||
\(820\) | −10.7519 | − | 14.8540i | −0.375474 | − | 0.518723i | ||||
\(821\) | −7.50855 | −0.262050 | −0.131025 | − | 0.991379i | \(-0.541827\pi\) | ||||
−0.131025 | + | 0.991379i | \(0.541827\pi\) | |||||||
\(822\) | −2.36181 | − | 4.58241i | −0.0823777 | − | 0.159830i | ||||
\(823\) | 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 | −0.251007 | − | 0.967985i | \(-0.580762\pi\) |
0.967985 | + | 0.251007i | \(0.0807616\pi\) | |||||||
\(828\) | −36.1376 | + | 6.06937i | −1.25587 | + | 0.210925i | ||||
\(829\) | −16.9499 | −0.588694 | −0.294347 | − | 0.955699i | \(-0.595102\pi\) | ||||
−0.294347 | + | 0.955699i | \(0.595102\pi\) | |||||||
\(830\) | 38.0250 | + | 3.51615i | 1.31987 | + | 0.122047i | ||||
\(831\) | 11.1243 | + | 18.4516i | 0.385896 | + | 0.640079i | ||||
\(832\) | −36.6258 | + | 14.8649i | −1.26977 | + | 0.515346i | ||||
\(833\) | 24.3468 | − | 24.3468i | 0.843565 | − | 0.843565i | ||||
\(834\) | 31.0368 | + | 9.92482i | 1.07472 | + | 0.343668i | ||||
\(835\) | 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 | ||||
\(838\) | −2.37157 | + | 35.5340i | −0.0819246 | + | 1.22750i | ||||
\(839\) | 31.3869 | 1.08360 | 0.541798 | − | 0.840509i | \(-0.317744\pi\) | ||||
0.541798 | + | 0.840509i | \(0.317744\pi\) | |||||||
\(840\) | 2.53149 | − | 5.00402i | 0.0873447 | − | 0.172655i | ||||
\(841\) | 6.33479 | 0.218441 | ||||||||
\(842\) | 2.96742 | − | 44.4617i | 0.102264 | − | 1.53225i | ||||
\(843\) | 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 | ||||
\(846\) | −1.36835 | − | 5.76506i | −0.0470450 | − | 0.198207i | ||||
\(847\) | 1.47081 | − | 1.47081i | 0.0505375 | − | 0.0505375i | ||||
\(848\) | −1.81247 | − | 3.17415i | −0.0622405 | − | 0.109001i | ||||
\(849\) | 19.7966 | − | 11.9351i | 0.679418 | − | 0.409613i | ||||
\(850\) | −28.3757 | + | 22.3713i | −0.973279 | + | 0.767331i | ||||
\(851\) | −24.3693 | −0.835369 | ||||||||
\(852\) | −10.9905 | + | 27.8278i | −0.376528 | + | 0.953365i | ||||
\(853\) | 4.93576 | − | 4.93576i | 0.168997 | − | 0.168997i | −0.617541 | − | 0.786538i | \(-0.711871\pi\) |
0.786538 | + | 0.617541i | \(0.211871\pi\) | |||||||
\(854\) | 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 | \(0.946060\pi\) | |||||||
\(858\) | −28.3341 | + | 14.6037i | −0.967311 | + | 0.498560i | ||||
\(859\) | 22.2708 | 0.759871 | 0.379935 | − | 0.925013i | \(-0.375946\pi\) | ||||
0.379935 | + | 0.925013i | \(0.375946\pi\) | |||||||
\(860\) | 7.58322 | − | 47.3363i | 0.258586 | − | 1.61416i | ||||
\(861\) | −1.87714 | − | 3.11358i | −0.0639728 | − | 0.106111i | ||||
\(862\) | 1.28157 | − | 19.2021i | 0.0436503 | − | 0.654027i | ||||
\(863\) | −37.8907 | + | 37.8907i | −1.28982 | + | 1.28982i | −0.354918 | + | 0.934897i | \(0.615491\pi\) |
−0.934897 | + | 0.354918i | \(0.884509\pi\) | |||||||
\(864\) | −14.3241 | − | 25.6675i | −0.487315 | − | 0.873226i | ||||
\(865\) | −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 | ||||
\(868\) | −3.04180 | + | 2.32255i | −0.103245 | + | 0.0788326i | ||||
\(869\) | − | 10.7382i | − | 0.364267i | ||||||
\(870\) | −11.3500 | − | 23.4763i | −0.384800 | − | 0.795919i | ||||
\(871\) | −2.43924 | −0.0826506 | ||||||||
\(872\) | −11.4853 | − | 2.32731i | −0.388942 | − | 0.0788125i | ||||
\(873\) | −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 | ||||
\(876\) | 22.0795 | + | 50.9040i | 0.745996 | + | 1.71989i | ||||
\(877\) | 19.4977 | + | 19.4977i | 0.658392 | + | 0.658392i | 0.954999 | − | 0.296608i | \(-0.0958553\pi\) |
−0.296608 | + | 0.954999i | \(0.595855\pi\) | |||||||
\(878\) | −0.524185 | + | 7.85403i | −0.0176904 | + | 0.265061i | ||||
\(879\) | 5.07546 | + | 8.41857i | 0.171191 | + | 0.283951i | ||||
\(880\) | −20.7491 | + | 11.1545i | −0.699454 | + | 0.376019i | ||||
\(881\) | 36.8489i | 1.24147i | 0.784021 | + | 0.620735i | \(0.213166\pi\) | ||||
−0.784021 | + | 0.620735i | \(0.786834\pi\) | |||||||
\(882\) | −14.9993 | + | 24.3355i | −0.505052 | + | 0.819419i | ||||
\(883\) | 25.6982 | − | 25.6982i | 0.864813 | − | 0.864813i | −0.127079 | − | 0.991893i | \(-0.540560\pi\) |
0.991893 | + | 0.127079i | \(0.0405602\pi\) | |||||||
\(884\) | 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 | \(0.901829\pi\) | |||||||
\(888\) | −6.56712 | − | 18.4118i | −0.220378 | − | 0.617858i | ||||
\(889\) | 7.15799i | 0.240071i | ||||||||
\(890\) | 16.0198 | − | 13.3079i | 0.536984 | − | 0.446081i | ||||
\(891\) | −13.3720 | − | 19.5724i | −0.447978 | − | 0.655699i | ||||
\(892\) | −4.40328 | − | 5.76689i | −0.147433 | − | 0.193090i | ||||
\(893\) | −0.663887 | − | 0.663887i | −0.0222161 | − | 0.0222161i | ||||
\(894\) | 3.89794 | − | 12.1896i | 0.130367 | − | 0.407681i | ||||
\(895\) | −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 | ||||
\(898\) | 29.9000 | + | 1.99555i | 0.997775 | + | 0.0665925i | ||||
\(899\) | 17.7955i | 0.593514i | ||||||||
\(900\) | 18.6326 | − | 23.5122i | 0.621088 | − | 0.783741i | ||||
\(901\) | 4.66958i | 0.155566i | ||||||||
\(902\) | −1.01704 | + | 15.2386i | −0.0338636 | + | 0.507389i | ||||
\(903\) | 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 | ||||
\(906\) | 27.6499 | + | 8.84176i | 0.918605 | + | 0.293748i | ||||
\(907\) | −16.8535 | − | 16.8535i | −0.559613 | − | 0.559613i | 0.369585 | − | 0.929197i | \(-0.379500\pi\) |
−0.929197 | + | 0.369585i | \(0.879500\pi\) | |||||||
\(908\) | −30.0439 | + | 22.9399i | −0.997042 | + | 0.761287i | ||||
\(909\) | −9.20201 | − | 4.85772i | −0.305212 | − | 0.161120i | ||||
\(910\) | −5.11112 | − | 6.15268i | −0.169432 | − | 0.203959i | ||||
\(911\) | − | 31.3998i | − | 1.04032i | −0.854068 | − | 0.520161i | \(-0.825872\pi\) | ||
0.854068 | − | 0.520161i | \(-0.174128\pi\) | |||||||
\(912\) | −4.06619 | − | 2.27140i | −0.134645 | − | 0.0752135i | ||||
\(913\) | −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 | ||||
\(918\) | −0.368638 | + | 37.5496i | −0.0121669 | + | 1.23932i | ||||
\(919\) | − | 26.0422i | − | 0.859054i | −0.903054 | − | 0.429527i | \(-0.858680\pi\) | ||
0.903054 | − | 0.429527i | \(-0.141320\pi\) | |||||||
\(920\) | −8.63619 | + | 37.6481i | −0.284727 | + | 1.24122i | ||||
\(921\) | 10.1289 | + | 16.8006i | 0.333757 | + | 0.553597i | ||||
\(922\) | 5.06414 | + | 0.337986i | 0.166779 | + | 0.0111310i | ||||
\(923\) | 30.1757 | + | 30.1757i | 0.993245 | + | 0.993245i | ||||
\(924\) | −4.28499 | + | 1.85860i | −0.140966 | + | 0.0611436i | ||||
\(925\) | 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 | ||||
\(928\) | −8.80860 | + | 25.4499i | −0.289157 | + | 0.835433i | ||||
\(929\) | −16.2184 | −0.532108 | −0.266054 | − | 0.963958i | \(-0.585720\pi\) | ||||
−0.266054 | + | 0.963958i | \(0.585720\pi\) | |||||||
\(930\) | −18.4323 | + | 8.91140i | −0.604419 | + | 0.292216i | ||||
\(931\) | 4.52968i | 0.148454i | ||||||||
\(932\) | 29.2688 | − | 22.3481i | 0.958733 | − | 0.732036i | ||||
\(933\) | 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 | ||||
\(936\) | −41.7167 | + | 4.17537i | −1.36355 | + | 0.136476i | ||||
\(937\) | −14.3578 | + | 14.3578i | −0.469050 | + | 0.469050i | −0.901607 | − | 0.432557i | \(-0.857611\pi\) |
0.432557 | + | 0.901607i | \(0.357611\pi\) | |||||||
\(938\) | −0.356621 | − | 0.0238012i | −0.0116441 | − | 0.000777138i | ||||
\(939\) | −15.5547 | − | 25.8002i | −0.507607 | − | 0.841959i | ||||
\(940\) | −6.16710 | − | 0.987962i | −0.201149 | − | 0.0322238i | ||||
\(941\) | −27.3264 | −0.890817 | −0.445408 | − | 0.895328i | \(-0.646941\pi\) | ||||
−0.445408 | + | 0.895328i | \(0.646941\pi\) | |||||||
\(942\) | −22.1426 | − | 42.9613i | −0.721446 | − | 1.39976i | ||||
\(943\) | 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 | −0.362297 | − | 0.932063i | \(-0.618007\pi\) |
0.932063 | + | 0.362297i | \(0.118007\pi\) | |||||||
\(948\) | 5.18801 | − | 13.1360i | 0.168499 | − | 0.426637i | ||||
\(949\) | 79.1412 | 2.56903 | ||||||||
\(950\) | 0.558552 | − | 4.72071i | 0.0181218 | − | 0.153160i | ||||
\(951\) | −19.3868 | + | 11.6881i | −0.628661 | + | 0.379012i | ||||
\(952\) | 7.25183 | + | 1.46946i | 0.235033 | + | 0.0476255i | ||||
\(953\) | −19.5859 | + | 19.5859i | −0.634449 | + | 0.634449i | −0.949181 | − | 0.314732i | \(-0.898085\pi\) |
0.314732 | + | 0.949181i | \(0.398085\pi\) | |||||||
\(954\) | −0.895319 | − | 3.77210i | −0.0289870 | − | 0.122126i | ||||
\(955\) | 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 | ||||
\(958\) | 3.65252 | + | 0.243772i | 0.118008 | + | 0.00787593i | ||||
\(959\) | −1.07742 | −0.0347917 | ||||||||
\(960\) | −30.7716 | + | 3.62063i | −0.993149 | + | 0.116855i | ||||
\(961\) | −17.0279 | −0.549287 | ||||||||
\(962\) | −27.8197 | − | 1.85671i | −0.896943 | − | 0.0598628i | ||||
\(963\) | 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 | ||||
\(966\) | −2.33260 | + | 7.29447i | −0.0750501 | + | 0.234696i | ||||
\(967\) | −16.0917 | + | 16.0917i | −0.517475 | + | 0.517475i | −0.916806 | − | 0.399332i | \(-0.869242\pi\) |
0.399332 | + | 0.916806i | \(0.369242\pi\) | |||||||
\(968\) | −11.2633 | − | 2.28232i | −0.362017 | − | 0.0733567i | ||||
\(969\) | 3.07217 | + | 5.09575i | 0.0986922 | + | 0.163699i | ||||
\(970\) | −0.272128 | + | 2.94290i | −0.00873749 | + | 0.0944907i | ||||
\(971\) | 56.1374 | 1.80154 | 0.900768 | − | 0.434301i | \(-0.143005\pi\) | ||||
0.900768 | + | 0.434301i | \(0.143005\pi\) | |||||||
\(972\) | −6.90177 | − | 30.4034i | −0.221374 | − | 0.975189i | ||||
\(973\) | 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 | \(0.739140\pi\) | |||||||
\(978\) | −20.5207 | + | 10.5765i | −0.656179 | + | 0.338200i | ||||
\(979\) | −17.3458 | −0.554373 | ||||||||
\(980\) | 17.6685 | + | 24.4094i | 0.564400 | + | 0.779728i | ||||
\(981\) | −10.9920 | − | 5.80265i | −0.350948 | − | 0.185264i | ||||
\(982\) | 35.7993 | + | 2.38928i | 1.14240 | + | 0.0762450i | ||||
\(983\) | 20.1605 | − | 20.1605i | 0.643021 | − | 0.643021i | −0.308276 | − | 0.951297i | \(-0.599752\pi\) |
0.951297 | + | 0.308276i | \(0.0997519\pi\) | |||||||
\(984\) | −8.60647 | + | 18.1500i | −0.274364 | + | 0.578600i | ||||
\(985\) | 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 | ||||
\(988\) | −5.28006 | + | 4.03156i | −0.167981 | + | 0.128261i | ||||
\(989\) | 65.4683i | 2.08177i | ||||||||
\(990\) | −24.4505 | + | 5.14695i | −0.777089 | + | 0.163581i | ||||
\(991\) | 36.8471 | 1.17049 | 0.585244 | − | 0.810858i | \(-0.300999\pi\) | ||||
0.585244 | + | 0.810858i | \(0.300999\pi\) | |||||||
\(992\) | 19.9819 | + | 6.91605i | 0.634425 | + | 0.219585i | ||||
\(993\) | 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 | ||||
\(996\) | −16.6461 | − | 38.3774i | −0.527452 | − | 1.21604i | ||||
\(997\) | −28.1250 | − | 28.1250i | −0.890726 | − | 0.890726i | 0.103865 | − | 0.994591i | \(-0.466879\pi\) |
−0.994591 | + | 0.103865i | \(0.966879\pi\) | |||||||
\(998\) | 40.4614 | + | 2.70043i | 1.28078 | + | 0.0854806i | ||||
\(999\) | −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.53.16 | yes | 32 | |
3.2 | odd | 2 | inner | 120.2.w.c.53.1 | ✓ | 32 | |
4.3 | odd | 2 | 480.2.bi.c.113.15 | 32 | |||
5.2 | odd | 4 | inner | 120.2.w.c.77.8 | yes | 32 | |
5.3 | odd | 4 | 600.2.w.j.557.9 | 32 | |||
5.4 | even | 2 | 600.2.w.j.293.1 | 32 | |||
8.3 | odd | 2 | 480.2.bi.c.113.2 | 32 | |||
8.5 | even | 2 | inner | 120.2.w.c.53.9 | yes | 32 | |
12.11 | even | 2 | 480.2.bi.c.113.7 | 32 | |||
15.2 | even | 4 | inner | 120.2.w.c.77.9 | yes | 32 | |
15.8 | even | 4 | 600.2.w.j.557.8 | 32 | |||
15.14 | odd | 2 | 600.2.w.j.293.16 | 32 | |||
20.7 | even | 4 | 480.2.bi.c.17.10 | 32 | |||
24.5 | odd | 2 | inner | 120.2.w.c.53.8 | yes | 32 | |
24.11 | even | 2 | 480.2.bi.c.113.10 | 32 | |||
40.13 | odd | 4 | 600.2.w.j.557.16 | 32 | |||
40.27 | even | 4 | 480.2.bi.c.17.7 | 32 | |||
40.29 | even | 2 | 600.2.w.j.293.8 | 32 | |||
40.37 | odd | 4 | inner | 120.2.w.c.77.1 | yes | 32 | |
60.47 | odd | 4 | 480.2.bi.c.17.2 | 32 | |||
120.29 | odd | 2 | 600.2.w.j.293.9 | 32 | |||
120.53 | even | 4 | 600.2.w.j.557.1 | 32 | |||
120.77 | even | 4 | inner | 120.2.w.c.77.16 | yes | 32 | |
120.107 | odd | 4 | 480.2.bi.c.17.15 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
120.2.w.c.53.1 | ✓ | 32 | 3.2 | odd | 2 | inner | |
120.2.w.c.53.8 | yes | 32 | 24.5 | odd | 2 | inner | |
120.2.w.c.53.9 | yes | 32 | 8.5 | even | 2 | inner | |
120.2.w.c.53.16 | yes | 32 | 1.1 | even | 1 | trivial | |
120.2.w.c.77.1 | yes | 32 | 40.37 | odd | 4 | inner | |
120.2.w.c.77.8 | yes | 32 | 5.2 | odd | 4 | inner | |
120.2.w.c.77.9 | yes | 32 | 15.2 | even | 4 | inner | |
120.2.w.c.77.16 | yes | 32 | 120.77 | even | 4 | inner | |
480.2.bi.c.17.2 | 32 | 60.47 | odd | 4 | |||
480.2.bi.c.17.7 | 32 | 40.27 | even | 4 | |||
480.2.bi.c.17.10 | 32 | 20.7 | even | 4 | |||
480.2.bi.c.17.15 | 32 | 120.107 | odd | 4 | |||
480.2.bi.c.113.2 | 32 | 8.3 | odd | 2 | |||
480.2.bi.c.113.7 | 32 | 12.11 | even | 2 | |||
480.2.bi.c.113.10 | 32 | 24.11 | even | 2 | |||
480.2.bi.c.113.15 | 32 | 4.3 | odd | 2 | |||
600.2.w.j.293.1 | 32 | 5.4 | even | 2 | |||
600.2.w.j.293.8 | 32 | 40.29 | even | 2 | |||
600.2.w.j.293.9 | 32 | 120.29 | odd | 2 | |||
600.2.w.j.293.16 | 32 | 15.14 | odd | 2 | |||
600.2.w.j.557.1 | 32 | 120.53 | even | 4 | |||
600.2.w.j.557.8 | 32 | 15.8 | even | 4 | |||
600.2.w.j.557.9 | 32 | 5.3 | odd | 4 | |||
600.2.w.j.557.16 | 32 | 40.13 | odd | 4 |