Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(369,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.369");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.c (of order \(2\), degree \(1\), 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: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{10} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} + 19x^{8} + 103x^{6} + 210x^{4} + 140x^{2} + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 369.9 | ||
Root | \(1.78647i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 370.369 |
Dual form | 370.2.c.b.369.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | 0.707107 | ||||||||
\(3\) | 1.78647i | 1.03142i | 0.856764 | + | 0.515709i | \(0.172472\pi\) | ||||
−0.856764 | + | 0.515709i | \(0.827528\pi\) | |||||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | −2.21736 | + | 0.288618i | −0.991635 | + | 0.129074i | ||||
\(6\) | 1.78647i | 0.729323i | ||||||||
\(7\) | 3.14934i | 1.19034i | 0.803600 | + | 0.595169i | \(0.202915\pi\) | ||||
−0.803600 | + | 0.595169i | \(0.797085\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −0.191472 | −0.0638241 | ||||||||
\(10\) | −2.21736 | + | 0.288618i | −0.701192 | + | 0.0912690i | ||||
\(11\) | −0.908956 | −0.274061 | −0.137030 | − | 0.990567i | \(-0.543756\pi\) | ||||
−0.137030 | + | 0.990567i | \(0.543756\pi\) | |||||||
\(12\) | 1.78647i | 0.515709i | ||||||||
\(13\) | −2.22269 | −0.616462 | −0.308231 | − | 0.951311i | \(-0.599737\pi\) | ||||
−0.308231 | + | 0.951311i | \(0.599737\pi\) | |||||||
\(14\) | 3.14934i | 0.841696i | ||||||||
\(15\) | −0.515607 | − | 3.96125i | −0.133129 | − | 1.02279i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −2.10043 | −0.509429 | −0.254714 | − | 0.967016i | \(-0.581981\pi\) | ||||
−0.254714 | + | 0.967016i | \(0.581981\pi\) | |||||||
\(18\) | −0.191472 | −0.0451305 | ||||||||
\(19\) | 4.16694i | 0.955962i | 0.878370 | + | 0.477981i | \(0.158631\pi\) | ||||
−0.878370 | + | 0.477981i | \(0.841369\pi\) | |||||||
\(20\) | −2.21736 | + | 0.288618i | −0.495817 | + | 0.0645370i | ||||
\(21\) | −5.62620 | −1.22774 | ||||||||
\(22\) | −0.908956 | −0.193790 | ||||||||
\(23\) | 7.66680 | 1.59864 | 0.799319 | − | 0.600907i | \(-0.205194\pi\) | ||||
0.799319 | + | 0.600907i | \(0.205194\pi\) | |||||||
\(24\) | 1.78647i | 0.364662i | ||||||||
\(25\) | 4.83340 | − | 1.27994i | 0.966680 | − | 0.255988i | ||||
\(26\) | −2.22269 | −0.435905 | ||||||||
\(27\) | 5.01735i | 0.965589i | ||||||||
\(28\) | 3.14934i | 0.595169i | ||||||||
\(29\) | − | 2.69676i | − | 0.500775i | −0.968146 | − | 0.250387i | \(-0.919442\pi\) | ||
0.968146 | − | 0.250387i | \(-0.0805580\pi\) | |||||||
\(30\) | −0.515607 | − | 3.96125i | −0.0941366 | − | 0.723222i | ||||
\(31\) | − | 5.96563i | − | 1.07146i | −0.844390 | − | 0.535729i | \(-0.820037\pi\) | ||
0.844390 | − | 0.535729i | \(-0.179963\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | − | 1.62382i | − | 0.282671i | ||||||
\(34\) | −2.10043 | −0.360221 | ||||||||
\(35\) | −0.908956 | − | 6.98323i | −0.153642 | − | 1.18038i | ||||
\(36\) | −0.191472 | −0.0319121 | ||||||||
\(37\) | 1.10043 | + | 5.98240i | 0.180909 | + | 0.983500i | ||||
\(38\) | 4.16694i | 0.675967i | ||||||||
\(39\) | − | 3.97076i | − | 0.635831i | ||||||
\(40\) | −2.21736 | + | 0.288618i | −0.350596 | + | 0.0456345i | ||||
\(41\) | 2.32312 | 0.362810 | 0.181405 | − | 0.983409i | \(-0.441936\pi\) | ||||
0.181405 | + | 0.983409i | \(0.441936\pi\) | |||||||
\(42\) | −5.62620 | −0.868141 | ||||||||
\(43\) | 5.72663 | 0.873302 | 0.436651 | − | 0.899631i | \(-0.356164\pi\) | ||||
0.436651 | + | 0.899631i | \(0.356164\pi\) | |||||||
\(44\) | −0.908956 | −0.137030 | ||||||||
\(45\) | 0.424564 | − | 0.0552624i | 0.0632902 | − | 0.00823803i | ||||
\(46\) | 7.66680 | 1.13041 | ||||||||
\(47\) | − | 8.89435i | − | 1.29737i | −0.761055 | − | 0.648687i | \(-0.775318\pi\) | ||
0.761055 | − | 0.648687i | \(-0.224682\pi\) | |||||||
\(48\) | 1.78647i | 0.257855i | ||||||||
\(49\) | −2.91834 | −0.416906 | ||||||||
\(50\) | 4.83340 | − | 1.27994i | 0.683546 | − | 0.181011i | ||||
\(51\) | − | 3.75235i | − | 0.525434i | ||||||
\(52\) | −2.22269 | −0.308231 | ||||||||
\(53\) | − | 9.37592i | − | 1.28788i | −0.765075 | − | 0.643941i | \(-0.777298\pi\) | ||
0.765075 | − | 0.643941i | \(-0.222702\pi\) | |||||||
\(54\) | 5.01735i | 0.682775i | ||||||||
\(55\) | 2.01549 | − | 0.262341i | 0.271768 | − | 0.0353741i | ||||
\(56\) | 3.14934i | 0.420848i | ||||||||
\(57\) | −7.44411 | −0.985997 | ||||||||
\(58\) | − | 2.69676i | − | 0.354101i | ||||||
\(59\) | 5.55880i | 0.723694i | 0.932238 | + | 0.361847i | \(0.117854\pi\) | ||||
−0.932238 | + | 0.361847i | \(0.882146\pi\) | |||||||
\(60\) | −0.515607 | − | 3.96125i | −0.0665646 | − | 0.511395i | ||||
\(61\) | − | 3.16611i | − | 0.405378i | −0.979243 | − | 0.202689i | \(-0.935032\pi\) | ||
0.979243 | − | 0.202689i | \(-0.0649681\pi\) | |||||||
\(62\) | − | 5.96563i | − | 0.757636i | ||||||
\(63\) | − | 0.603011i | − | 0.0759723i | ||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 4.92850 | − | 0.641508i | 0.611306 | − | 0.0795692i | ||||
\(66\) | − | 1.62382i | − | 0.199879i | ||||||
\(67\) | 7.64933i | 0.934515i | 0.884121 | + | 0.467257i | \(0.154758\pi\) | ||||
−0.884121 | + | 0.467257i | \(0.845242\pi\) | |||||||
\(68\) | −2.10043 | −0.254714 | ||||||||
\(69\) | 13.6965i | 1.64886i | ||||||||
\(70\) | −0.908956 | − | 6.98323i | −0.108641 | − | 0.834656i | ||||
\(71\) | 13.5157 | 1.60402 | 0.802008 | − | 0.597313i | \(-0.203765\pi\) | ||||
0.802008 | + | 0.597313i | \(0.203765\pi\) | |||||||
\(72\) | −0.191472 | −0.0225652 | ||||||||
\(73\) | − | 2.14851i | − | 0.251464i | −0.992064 | − | 0.125732i | \(-0.959872\pi\) | ||
0.992064 | − | 0.125732i | \(-0.0401279\pi\) | |||||||
\(74\) | 1.10043 | + | 5.98240i | 0.127922 | + | 0.695439i | ||||
\(75\) | 2.28658 | + | 8.63472i | 0.264031 | + | 0.997051i | ||||
\(76\) | 4.16694i | 0.477981i | ||||||||
\(77\) | − | 2.86261i | − | 0.326225i | ||||||
\(78\) | − | 3.97076i | − | 0.449600i | ||||||
\(79\) | 3.35774i | 0.377775i | 0.981999 | + | 0.188888i | \(0.0604882\pi\) | ||||
−0.981999 | + | 0.188888i | \(0.939512\pi\) | |||||||
\(80\) | −2.21736 | + | 0.288618i | −0.247909 | + | 0.0322685i | ||||
\(81\) | −9.53776 | −1.05975 | ||||||||
\(82\) | 2.32312 | 0.256545 | ||||||||
\(83\) | − | 16.2776i | − | 1.78670i | −0.449361 | − | 0.893350i | \(-0.648348\pi\) | ||
0.449361 | − | 0.893350i | \(-0.351652\pi\) | |||||||
\(84\) | −5.62620 | −0.613869 | ||||||||
\(85\) | 4.65741 | − | 0.606222i | 0.505167 | − | 0.0657540i | ||||
\(86\) | 5.72663 | 0.617518 | ||||||||
\(87\) | 4.81767 | 0.516509 | ||||||||
\(88\) | −0.908956 | −0.0968951 | ||||||||
\(89\) | 8.35832i | 0.885980i | 0.896527 | + | 0.442990i | \(0.146082\pi\) | ||||
−0.896527 | + | 0.442990i | \(0.853918\pi\) | |||||||
\(90\) | 0.424564 | − | 0.0552624i | 0.0447529 | − | 0.00582517i | ||||
\(91\) | − | 7.00000i | − | 0.733799i | ||||||
\(92\) | 7.66680 | 0.799319 | ||||||||
\(93\) | 10.6574 | 1.10512 | ||||||||
\(94\) | − | 8.89435i | − | 0.917382i | ||||||
\(95\) | −1.20265 | − | 9.23962i | −0.123390 | − | 0.947965i | ||||
\(96\) | 1.78647i | 0.182331i | ||||||||
\(97\) | 5.14283 | 0.522175 | 0.261087 | − | 0.965315i | \(-0.415919\pi\) | ||||
0.261087 | + | 0.965315i | \(0.415919\pi\) | |||||||
\(98\) | −2.91834 | −0.294797 | ||||||||
\(99\) | 0.174040 | 0.0174917 | ||||||||
\(100\) | 4.83340 | − | 1.27994i | 0.483340 | − | 0.127994i | ||||
\(101\) | −3.20212 | −0.318623 | −0.159311 | − | 0.987228i | \(-0.550927\pi\) | ||||
−0.159311 | + | 0.987228i | \(0.550927\pi\) | |||||||
\(102\) | − | 3.75235i | − | 0.371538i | ||||||
\(103\) | −17.6871 | −1.74276 | −0.871382 | − | 0.490605i | \(-0.836776\pi\) | ||||
−0.871382 | + | 0.490605i | \(0.836776\pi\) | |||||||
\(104\) | −2.22269 | −0.217952 | ||||||||
\(105\) | 12.4753 | − | 1.62382i | 1.21747 | − | 0.158469i | ||||
\(106\) | − | 9.37592i | − | 0.910670i | ||||||
\(107\) | − | 6.75126i | − | 0.652669i | −0.945254 | − | 0.326335i | \(-0.894186\pi\) | ||
0.945254 | − | 0.326335i | \(-0.105814\pi\) | |||||||
\(108\) | 5.01735i | 0.482795i | ||||||||
\(109\) | 10.5304i | 1.00863i | 0.863520 | + | 0.504314i | \(0.168255\pi\) | ||||
−0.863520 | + | 0.504314i | \(0.831745\pi\) | |||||||
\(110\) | 2.01549 | − | 0.262341i | 0.192169 | − | 0.0250133i | ||||
\(111\) | −10.6874 | + | 1.96588i | −1.01440 | + | 0.186593i | ||||
\(112\) | 3.14934i | 0.297585i | ||||||||
\(113\) | −6.32365 | −0.594879 | −0.297439 | − | 0.954741i | \(-0.596133\pi\) | ||||
−0.297439 | + | 0.954741i | \(0.596133\pi\) | |||||||
\(114\) | −7.44411 | −0.697205 | ||||||||
\(115\) | −17.0001 | + | 2.21278i | −1.58527 | + | 0.206342i | ||||
\(116\) | − | 2.69676i | − | 0.250387i | ||||||
\(117\) | 0.425583 | 0.0393452 | ||||||||
\(118\) | 5.55880i | 0.511729i | ||||||||
\(119\) | − | 6.61496i | − | 0.606393i | ||||||
\(120\) | −0.515607 | − | 3.96125i | −0.0470683 | − | 0.361611i | ||||
\(121\) | −10.1738 | −0.924891 | ||||||||
\(122\) | − | 3.16611i | − | 0.286646i | ||||||
\(123\) | 4.15017i | 0.374209i | ||||||||
\(124\) | − | 5.96563i | − | 0.535729i | ||||||
\(125\) | −10.3480 | + | 4.23310i | −0.925552 | + | 0.378620i | ||||
\(126\) | − | 0.603011i | − | 0.0537205i | ||||||
\(127\) | − | 15.0472i | − | 1.33522i | −0.744512 | − | 0.667609i | \(-0.767318\pi\) | ||
0.744512 | − | 0.667609i | \(-0.232682\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | 10.2304i | 0.900740i | ||||||||
\(130\) | 4.92850 | − | 0.641508i | 0.432258 | − | 0.0562639i | ||||
\(131\) | − | 3.31974i | − | 0.290047i | −0.989428 | − | 0.145024i | \(-0.953674\pi\) | ||
0.989428 | − | 0.145024i | \(-0.0463258\pi\) | |||||||
\(132\) | − | 1.62382i | − | 0.141336i | ||||||
\(133\) | −13.1231 | −1.13792 | ||||||||
\(134\) | 7.64933i | 0.660802i | ||||||||
\(135\) | −1.44810 | − | 11.1253i | −0.124632 | − | 0.957512i | ||||
\(136\) | −2.10043 | −0.180110 | ||||||||
\(137\) | 17.9355i | 1.53234i | 0.642640 | + | 0.766168i | \(0.277839\pi\) | ||||
−0.642640 | + | 0.766168i | \(0.722161\pi\) | |||||||
\(138\) | 13.6965i | 1.16592i | ||||||||
\(139\) | 12.7472 | 1.08120 | 0.540601 | − | 0.841279i | \(-0.318197\pi\) | ||||
0.540601 | + | 0.841279i | \(0.318197\pi\) | |||||||
\(140\) | −0.908956 | − | 6.98323i | −0.0768208 | − | 0.590191i | ||||
\(141\) | 15.8895 | 1.33814 | ||||||||
\(142\) | 13.5157 | 1.13421 | ||||||||
\(143\) | 2.02033 | 0.168948 | ||||||||
\(144\) | −0.191472 | −0.0159560 | ||||||||
\(145\) | 0.778332 | + | 5.97969i | 0.0646370 | + | 0.496586i | ||||
\(146\) | − | 2.14851i | − | 0.177812i | ||||||
\(147\) | − | 5.21353i | − | 0.430004i | ||||||
\(148\) | 1.10043 | + | 5.98240i | 0.0904547 | + | 0.491750i | ||||
\(149\) | −6.83795 | −0.560186 | −0.280093 | − | 0.959973i | \(-0.590365\pi\) | ||||
−0.280093 | + | 0.959973i | \(0.590365\pi\) | |||||||
\(150\) | 2.28658 | + | 8.63472i | 0.186698 | + | 0.705022i | ||||
\(151\) | −2.80702 | −0.228432 | −0.114216 | − | 0.993456i | \(-0.536436\pi\) | ||||
−0.114216 | + | 0.993456i | \(0.536436\pi\) | |||||||
\(152\) | 4.16694i | 0.337984i | ||||||||
\(153\) | 0.402174 | 0.0325138 | ||||||||
\(154\) | − | 2.86261i | − | 0.230676i | ||||||
\(155\) | 1.72179 | + | 13.2280i | 0.138297 | + | 1.06250i | ||||
\(156\) | − | 3.97076i | − | 0.317915i | ||||||
\(157\) | 7.28275i | 0.581227i | 0.956841 | + | 0.290613i | \(0.0938593\pi\) | ||||
−0.956841 | + | 0.290613i | \(0.906141\pi\) | |||||||
\(158\) | 3.35774i | 0.267127i | ||||||||
\(159\) | 16.7498 | 1.32835 | ||||||||
\(160\) | −2.21736 | + | 0.288618i | −0.175298 | + | 0.0228173i | ||||
\(161\) | 24.1454i | 1.90292i | ||||||||
\(162\) | −9.53776 | −0.749357 | ||||||||
\(163\) | −22.2319 | −1.74134 | −0.870669 | − | 0.491870i | \(-0.836314\pi\) | ||||
−0.870669 | + | 0.491870i | \(0.836314\pi\) | |||||||
\(164\) | 2.32312 | 0.181405 | ||||||||
\(165\) | 0.468665 | + | 3.60060i | 0.0364855 | + | 0.280307i | ||||
\(166\) | − | 16.2776i | − | 1.26339i | ||||||
\(167\) | 11.5050 | 0.890286 | 0.445143 | − | 0.895459i | \(-0.353153\pi\) | ||||
0.445143 | + | 0.895459i | \(0.353153\pi\) | |||||||
\(168\) | −5.62620 | −0.434071 | ||||||||
\(169\) | −8.05966 | −0.619974 | ||||||||
\(170\) | 4.65741 | − | 0.606222i | 0.357207 | − | 0.0464951i | ||||
\(171\) | − | 0.797854i | − | 0.0610134i | ||||||
\(172\) | 5.72663 | 0.436651 | ||||||||
\(173\) | − | 15.7081i | − | 1.19427i | −0.802142 | − | 0.597134i | \(-0.796306\pi\) | ||
0.802142 | − | 0.597134i | \(-0.203694\pi\) | |||||||
\(174\) | 4.81767 | 0.365227 | ||||||||
\(175\) | 4.03097 | + | 15.2220i | 0.304713 | + | 1.15068i | ||||
\(176\) | −0.908956 | −0.0685152 | ||||||||
\(177\) | −9.93062 | −0.746431 | ||||||||
\(178\) | 8.35832i | 0.626483i | ||||||||
\(179\) | 11.3128i | 0.845560i | 0.906232 | + | 0.422780i | \(0.138946\pi\) | ||||
−0.906232 | + | 0.422780i | \(0.861054\pi\) | |||||||
\(180\) | 0.424564 | − | 0.0552624i | 0.0316451 | − | 0.00411901i | ||||
\(181\) | 18.3136 | 1.36124 | 0.680618 | − | 0.732638i | \(-0.261711\pi\) | ||||
0.680618 | + | 0.732638i | \(0.261711\pi\) | |||||||
\(182\) | − | 7.00000i | − | 0.518874i | ||||||
\(183\) | 5.65615 | 0.418115 | ||||||||
\(184\) | 7.66680 | 0.565204 | ||||||||
\(185\) | −4.16668 | − | 12.9475i | −0.306340 | − | 0.951922i | ||||
\(186\) | 10.6574 | 0.781439 | ||||||||
\(187\) | 1.90920 | 0.139614 | ||||||||
\(188\) | − | 8.89435i | − | 0.648687i | ||||||
\(189\) | −15.8013 | −1.14938 | ||||||||
\(190\) | −1.20265 | − | 9.23962i | −0.0872497 | − | 0.670313i | ||||
\(191\) | − | 7.66002i | − | 0.554260i | −0.960832 | − | 0.277130i | \(-0.910617\pi\) | ||
0.960832 | − | 0.277130i | \(-0.0893832\pi\) | |||||||
\(192\) | 1.78647i | 0.128927i | ||||||||
\(193\) | 19.3148 | 1.39031 | 0.695156 | − | 0.718859i | \(-0.255335\pi\) | ||||
0.695156 | + | 0.718859i | \(0.255335\pi\) | |||||||
\(194\) | 5.14283 | 0.369233 | ||||||||
\(195\) | 1.14603 | + | 8.80462i | 0.0820692 | + | 0.630512i | ||||
\(196\) | −2.91834 | −0.208453 | ||||||||
\(197\) | 13.1193i | 0.934709i | 0.884070 | + | 0.467354i | \(0.154793\pi\) | ||||
−0.884070 | + | 0.467354i | \(0.845207\pi\) | |||||||
\(198\) | 0.174040 | 0.0123685 | ||||||||
\(199\) | − | 6.04548i | − | 0.428553i | −0.976773 | − | 0.214277i | \(-0.931261\pi\) | ||
0.976773 | − | 0.214277i | \(-0.0687394\pi\) | |||||||
\(200\) | 4.83340 | − | 1.27994i | 0.341773 | − | 0.0905056i | ||||
\(201\) | −13.6653 | −0.963876 | ||||||||
\(202\) | −3.20212 | −0.225300 | ||||||||
\(203\) | 8.49300 | 0.596092 | ||||||||
\(204\) | − | 3.75235i | − | 0.262717i | ||||||
\(205\) | −5.15119 | + | 0.670493i | −0.359775 | + | 0.0468293i | ||||
\(206\) | −17.6871 | −1.23232 | ||||||||
\(207\) | −1.46798 | −0.102032 | ||||||||
\(208\) | −2.22269 | −0.154116 | ||||||||
\(209\) | − | 3.78757i | − | 0.261992i | ||||||
\(210\) | 12.4753 | − | 1.62382i | 0.860879 | − | 0.112054i | ||||
\(211\) | 3.06975 | 0.211330 | 0.105665 | − | 0.994402i | \(-0.466303\pi\) | ||||
0.105665 | + | 0.994402i | \(0.466303\pi\) | |||||||
\(212\) | − | 9.37592i | − | 0.643941i | ||||||
\(213\) | 24.1454i | 1.65441i | ||||||||
\(214\) | − | 6.75126i | − | 0.461507i | ||||||
\(215\) | −12.6980 | + | 1.65281i | −0.865997 | + | 0.112721i | ||||
\(216\) | 5.01735i | 0.341387i | ||||||||
\(217\) | 18.7878 | 1.27540 | ||||||||
\(218\) | 10.5304i | 0.713208i | ||||||||
\(219\) | 3.83824 | 0.259364 | ||||||||
\(220\) | 2.01549 | − | 0.262341i | 0.135884 | − | 0.0176870i | ||||
\(221\) | 4.66860 | 0.314044 | ||||||||
\(222\) | −10.6874 | + | 1.96588i | −0.717289 | + | 0.131941i | ||||
\(223\) | 13.9960i | 0.937243i | 0.883399 | + | 0.468621i | \(0.155249\pi\) | ||||
−0.883399 | + | 0.468621i | \(0.844751\pi\) | |||||||
\(224\) | 3.14934i | 0.210424i | ||||||||
\(225\) | −0.925462 | + | 0.245074i | −0.0616975 | + | 0.0163382i | ||||
\(226\) | −6.32365 | −0.420643 | ||||||||
\(227\) | −11.9087 | −0.790409 | −0.395205 | − | 0.918593i | \(-0.629326\pi\) | ||||
−0.395205 | + | 0.918593i | \(0.629326\pi\) | |||||||
\(228\) | −7.44411 | −0.492998 | ||||||||
\(229\) | −7.43448 | −0.491285 | −0.245642 | − | 0.969361i | \(-0.578999\pi\) | ||||
−0.245642 | + | 0.969361i | \(0.578999\pi\) | |||||||
\(230\) | −17.0001 | + | 2.21278i | −1.12095 | + | 0.145906i | ||||
\(231\) | 5.11397 | 0.336474 | ||||||||
\(232\) | − | 2.69676i | − | 0.177051i | ||||||
\(233\) | − | 15.2152i | − | 0.996782i | −0.866952 | − | 0.498391i | \(-0.833924\pi\) | ||
0.866952 | − | 0.498391i | \(-0.166076\pi\) | |||||||
\(234\) | 0.425583 | 0.0278212 | ||||||||
\(235\) | 2.56707 | + | 19.7220i | 0.167457 | + | 1.28652i | ||||
\(236\) | 5.55880i | 0.361847i | ||||||||
\(237\) | −5.99850 | −0.389644 | ||||||||
\(238\) | − | 6.61496i | − | 0.428784i | ||||||
\(239\) | − | 29.1359i | − | 1.88465i | −0.334705 | − | 0.942323i | \(-0.608637\pi\) | ||
0.334705 | − | 0.942323i | \(-0.391363\pi\) | |||||||
\(240\) | −0.515607 | − | 3.96125i | −0.0332823 | − | 0.255698i | ||||
\(241\) | 7.08791i | 0.456572i | 0.973594 | + | 0.228286i | \(0.0733121\pi\) | ||||
−0.973594 | + | 0.228286i | \(0.926688\pi\) | |||||||
\(242\) | −10.1738 | −0.653997 | ||||||||
\(243\) | − | 1.98686i | − | 0.127457i | ||||||
\(244\) | − | 3.16611i | − | 0.202689i | ||||||
\(245\) | 6.47102 | − | 0.842286i | 0.413418 | − | 0.0538117i | ||||
\(246\) | 4.15017i | 0.264605i | ||||||||
\(247\) | − | 9.26180i | − | 0.589315i | ||||||
\(248\) | − | 5.96563i | − | 0.378818i | ||||||
\(249\) | 29.0795 | 1.84284 | ||||||||
\(250\) | −10.3480 | + | 4.23310i | −0.654464 | + | 0.267725i | ||||
\(251\) | 17.3622i | 1.09589i | 0.836514 | + | 0.547946i | \(0.184590\pi\) | ||||
−0.836514 | + | 0.547946i | \(0.815410\pi\) | |||||||
\(252\) | − | 0.603011i | − | 0.0379861i | ||||||
\(253\) | −6.96879 | −0.438124 | ||||||||
\(254\) | − | 15.0472i | − | 0.944142i | ||||||
\(255\) | 1.08300 | + | 8.32033i | 0.0678199 | + | 0.521039i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 13.9118 | 0.867797 | 0.433899 | − | 0.900962i | \(-0.357138\pi\) | ||||
0.433899 | + | 0.900962i | \(0.357138\pi\) | |||||||
\(258\) | 10.2304i | 0.636920i | ||||||||
\(259\) | −18.8406 | + | 3.46562i | −1.17070 | + | 0.215343i | ||||
\(260\) | 4.92850 | − | 0.641508i | 0.305653 | − | 0.0397846i | ||||
\(261\) | 0.516354i | 0.0319615i | ||||||||
\(262\) | − | 3.31974i | − | 0.205094i | ||||||
\(263\) | 0.302157i | 0.0186318i | 0.999957 | + | 0.00931590i | \(0.00296538\pi\) | ||||
−0.999957 | + | 0.00931590i | \(0.997035\pi\) | |||||||
\(264\) | − | 1.62382i | − | 0.0999394i | ||||||
\(265\) | 2.70606 | + | 20.7898i | 0.166232 | + | 1.27711i | ||||
\(266\) | −13.1231 | −0.804630 | ||||||||
\(267\) | −14.9319 | −0.913816 | ||||||||
\(268\) | 7.64933i | 0.467257i | ||||||||
\(269\) | −28.8001 | −1.75597 | −0.877986 | − | 0.478687i | \(-0.841113\pi\) | ||||
−0.877986 | + | 0.478687i | \(0.841113\pi\) | |||||||
\(270\) | −1.44810 | − | 11.1253i | −0.0881284 | − | 0.677063i | ||||
\(271\) | 1.57340 | 0.0955770 | 0.0477885 | − | 0.998857i | \(-0.484783\pi\) | ||||
0.0477885 | + | 0.998857i | \(0.484783\pi\) | |||||||
\(272\) | −2.10043 | −0.127357 | ||||||||
\(273\) | 12.5053 | 0.756854 | ||||||||
\(274\) | 17.9355i | 1.08353i | ||||||||
\(275\) | −4.39335 | + | 1.16341i | −0.264929 | + | 0.0701564i | ||||
\(276\) | 13.6965i | 0.824432i | ||||||||
\(277\) | −26.3430 | −1.58280 | −0.791398 | − | 0.611301i | \(-0.790646\pi\) | ||||
−0.791398 | + | 0.611301i | \(0.790646\pi\) | |||||||
\(278\) | 12.7472 | 0.764526 | ||||||||
\(279\) | 1.14225i | 0.0683849i | ||||||||
\(280\) | −0.908956 | − | 6.98323i | −0.0543205 | − | 0.417328i | ||||
\(281\) | − | 9.45482i | − | 0.564027i | −0.959410 | − | 0.282014i | \(-0.908998\pi\) | ||
0.959410 | − | 0.282014i | \(-0.0910024\pi\) | |||||||
\(282\) | 15.8895 | 0.946205 | ||||||||
\(283\) | 21.7389 | 1.29224 | 0.646122 | − | 0.763234i | \(-0.276390\pi\) | ||||
0.646122 | + | 0.763234i | \(0.276390\pi\) | |||||||
\(284\) | 13.5157 | 0.802008 | ||||||||
\(285\) | 16.5063 | − | 2.14851i | 0.977749 | − | 0.127266i | ||||
\(286\) | 2.02033 | 0.119464 | ||||||||
\(287\) | 7.31628i | 0.431866i | ||||||||
\(288\) | −0.191472 | −0.0112826 | ||||||||
\(289\) | −12.5882 | −0.740482 | ||||||||
\(290\) | 0.778332 | + | 5.97969i | 0.0457053 | + | 0.351139i | ||||
\(291\) | 9.18750i | 0.538581i | ||||||||
\(292\) | − | 2.14851i | − | 0.125732i | ||||||
\(293\) | − | 11.1283i | − | 0.650121i | −0.945693 | − | 0.325061i | \(-0.894615\pi\) | ||
0.945693 | − | 0.325061i | \(-0.105385\pi\) | |||||||
\(294\) | − | 5.21353i | − | 0.304059i | ||||||
\(295\) | −1.60437 | − | 12.3259i | −0.0934100 | − | 0.717640i | ||||
\(296\) | 1.10043 | + | 5.98240i | 0.0639611 | + | 0.347720i | ||||
\(297\) | − | 4.56055i | − | 0.264630i | ||||||
\(298\) | −6.83795 | −0.396112 | ||||||||
\(299\) | −17.0409 | −0.985500 | ||||||||
\(300\) | 2.28658 | + | 8.63472i | 0.132016 | + | 0.498526i | ||||
\(301\) | 18.0351i | 1.03953i | ||||||||
\(302\) | −2.80702 | −0.161526 | ||||||||
\(303\) | − | 5.72049i | − | 0.328633i | ||||||
\(304\) | 4.16694i | 0.238990i | ||||||||
\(305\) | 0.913795 | + | 7.02041i | 0.0523238 | + | 0.401987i | ||||
\(306\) | 0.402174 | 0.0229908 | ||||||||
\(307\) | − | 15.9903i | − | 0.912615i | −0.889822 | − | 0.456308i | \(-0.849172\pi\) | ||
0.889822 | − | 0.456308i | \(-0.150828\pi\) | |||||||
\(308\) | − | 2.86261i | − | 0.163112i | ||||||
\(309\) | − | 31.5975i | − | 1.79752i | ||||||
\(310\) | 1.72179 | + | 13.2280i | 0.0977910 | + | 0.751298i | ||||
\(311\) | − | 29.6416i | − | 1.68082i | −0.541949 | − | 0.840411i | \(-0.682313\pi\) | ||
0.541949 | − | 0.840411i | \(-0.317687\pi\) | |||||||
\(312\) | − | 3.97076i | − | 0.224800i | ||||||
\(313\) | 10.0000 | 0.565233 | 0.282617 | − | 0.959233i | \(-0.408798\pi\) | ||||
0.282617 | + | 0.959233i | \(0.408798\pi\) | |||||||
\(314\) | 7.28275i | 0.410989i | ||||||||
\(315\) | 0.174040 | + | 1.33710i | 0.00980604 | + | 0.0753368i | ||||
\(316\) | 3.35774i | 0.188888i | ||||||||
\(317\) | − | 21.1397i | − | 1.18732i | −0.804715 | − | 0.593662i | \(-0.797682\pi\) | ||
0.804715 | − | 0.593662i | \(-0.202318\pi\) | |||||||
\(318\) | 16.7498 | 0.939282 | ||||||||
\(319\) | 2.45123i | 0.137243i | ||||||||
\(320\) | −2.21736 | + | 0.288618i | −0.123954 | + | 0.0161342i | ||||
\(321\) | 12.0609 | 0.673175 | ||||||||
\(322\) | 24.1454i | 1.34557i | ||||||||
\(323\) | − | 8.75236i | − | 0.486994i | ||||||
\(324\) | −9.53776 | −0.529875 | ||||||||
\(325\) | −10.7431 | + | 2.84491i | −0.595922 | + | 0.157807i | ||||
\(326\) | −22.2319 | −1.23131 | ||||||||
\(327\) | −18.8122 | −1.04032 | ||||||||
\(328\) | 2.32312 | 0.128273 | ||||||||
\(329\) | 28.0113 | 1.54431 | ||||||||
\(330\) | 0.468665 | + | 3.60060i | 0.0257991 | + | 0.198207i | ||||
\(331\) | 18.7324i | 1.02963i | 0.857302 | + | 0.514814i | \(0.172139\pi\) | ||||
−0.857302 | + | 0.514814i | \(0.827861\pi\) | |||||||
\(332\) | − | 16.2776i | − | 0.893350i | ||||||
\(333\) | −0.210702 | − | 1.14546i | −0.0115464 | − | 0.0627710i | ||||
\(334\) | 11.5050 | 0.629528 | ||||||||
\(335\) | −2.20774 | − | 16.9613i | −0.120621 | − | 0.926697i | ||||
\(336\) | −5.62620 | −0.306934 | ||||||||
\(337\) | − | 13.9123i | − | 0.757850i | −0.925427 | − | 0.378925i | \(-0.876294\pi\) | ||
0.925427 | − | 0.378925i | \(-0.123706\pi\) | |||||||
\(338\) | −8.05966 | −0.438388 | ||||||||
\(339\) | − | 11.2970i | − | 0.613569i | ||||||
\(340\) | 4.65741 | − | 0.606222i | 0.252584 | − | 0.0328770i | ||||
\(341\) | 5.42250i | 0.293645i | ||||||||
\(342\) | − | 0.797854i | − | 0.0431430i | ||||||
\(343\) | 12.8545i | 0.694079i | ||||||||
\(344\) | 5.72663 | 0.308759 | ||||||||
\(345\) | −3.95306 | − | 30.3701i | −0.212825 | − | 1.63507i | ||||
\(346\) | − | 15.7081i | − | 0.844474i | ||||||
\(347\) | 24.5885 | 1.31998 | 0.659990 | − | 0.751274i | \(-0.270560\pi\) | ||||
0.659990 | + | 0.751274i | \(0.270560\pi\) | |||||||
\(348\) | 4.81767 | 0.258254 | ||||||||
\(349\) | −10.2324 | −0.547726 | −0.273863 | − | 0.961769i | \(-0.588301\pi\) | ||||
−0.273863 | + | 0.961769i | \(0.588301\pi\) | |||||||
\(350\) | 4.03097 | + | 15.2220i | 0.215465 | + | 0.813651i | ||||
\(351\) | − | 11.1520i | − | 0.595249i | ||||||
\(352\) | −0.908956 | −0.0484475 | ||||||||
\(353\) | 1.74540 | 0.0928981 | 0.0464491 | − | 0.998921i | \(-0.485209\pi\) | ||||
0.0464491 | + | 0.998921i | \(0.485209\pi\) | |||||||
\(354\) | −9.93062 | −0.527806 | ||||||||
\(355\) | −29.9692 | + | 3.90087i | −1.59060 | + | 0.207037i | ||||
\(356\) | 8.35832i | 0.442990i | ||||||||
\(357\) | 11.8174 | 0.625445 | ||||||||
\(358\) | 11.3128i | 0.597901i | ||||||||
\(359\) | 21.1922 | 1.11848 | 0.559240 | − | 0.829006i | \(-0.311093\pi\) | ||||
0.559240 | + | 0.829006i | \(0.311093\pi\) | |||||||
\(360\) | 0.424564 | − | 0.0552624i | 0.0223765 | − | 0.00291258i | ||||
\(361\) | 1.63660 | 0.0861371 | ||||||||
\(362\) | 18.3136 | 0.962540 | ||||||||
\(363\) | − | 18.1752i | − | 0.953949i | ||||||
\(364\) | − | 7.00000i | − | 0.366900i | ||||||
\(365\) | 0.620097 | + | 4.76402i | 0.0324574 | + | 0.249360i | ||||
\(366\) | 5.65615 | 0.295652 | ||||||||
\(367\) | 9.69901i | 0.506284i | 0.967429 | + | 0.253142i | \(0.0814640\pi\) | ||||
−0.967429 | + | 0.253142i | \(0.918536\pi\) | |||||||
\(368\) | 7.66680 | 0.399659 | ||||||||
\(369\) | −0.444812 | −0.0231560 | ||||||||
\(370\) | −4.16668 | − | 12.9475i | −0.216615 | − | 0.673111i | ||||
\(371\) | 29.5280 | 1.53302 | ||||||||
\(372\) | 10.6574 | 0.552561 | ||||||||
\(373\) | − | 36.8658i | − | 1.90884i | −0.298466 | − | 0.954420i | \(-0.596475\pi\) | ||
0.298466 | − | 0.954420i | \(-0.403525\pi\) | |||||||
\(374\) | 1.90920 | 0.0987223 | ||||||||
\(375\) | −7.56231 | − | 18.4864i | −0.390516 | − | 0.954632i | ||||
\(376\) | − | 8.89435i | − | 0.458691i | ||||||
\(377\) | 5.99404i | 0.308709i | ||||||||
\(378\) | −15.8013 | −0.812733 | ||||||||
\(379\) | 31.7074 | 1.62870 | 0.814351 | − | 0.580372i | \(-0.197093\pi\) | ||||
0.814351 | + | 0.580372i | \(0.197093\pi\) | |||||||
\(380\) | −1.20265 | − | 9.23962i | −0.0616949 | − | 0.473983i | ||||
\(381\) | 26.8813 | 1.37717 | ||||||||
\(382\) | − | 7.66002i | − | 0.391921i | ||||||
\(383\) | 3.45325 | 0.176453 | 0.0882265 | − | 0.996100i | \(-0.471880\pi\) | ||||
0.0882265 | + | 0.996100i | \(0.471880\pi\) | |||||||
\(384\) | 1.78647i | 0.0911654i | ||||||||
\(385\) | 0.826202 | + | 6.34745i | 0.0421071 | + | 0.323496i | ||||
\(386\) | 19.3148 | 0.983099 | ||||||||
\(387\) | −1.09649 | −0.0557378 | ||||||||
\(388\) | 5.14283 | 0.261087 | ||||||||
\(389\) | − | 39.2237i | − | 1.98872i | −0.106056 | − | 0.994360i | \(-0.533822\pi\) | ||
0.106056 | − | 0.994360i | \(-0.466178\pi\) | |||||||
\(390\) | 1.14603 | + | 8.80462i | 0.0580317 | + | 0.445839i | ||||
\(391\) | −16.1036 | −0.814392 | ||||||||
\(392\) | −2.91834 | −0.147399 | ||||||||
\(393\) | 5.93062 | 0.299160 | ||||||||
\(394\) | 13.1193i | 0.660939i | ||||||||
\(395\) | −0.969104 | − | 7.44533i | −0.0487609 | − | 0.374615i | ||||
\(396\) | 0.174040 | 0.00874584 | ||||||||
\(397\) | 5.75234i | 0.288702i | 0.989527 | + | 0.144351i | \(0.0461094\pi\) | ||||
−0.989527 | + | 0.144351i | \(0.953891\pi\) | |||||||
\(398\) | − | 6.04548i | − | 0.303033i | ||||||
\(399\) | − | 23.4440i | − | 1.17367i | ||||||
\(400\) | 4.83340 | − | 1.27994i | 0.241670 | − | 0.0639971i | ||||
\(401\) | − | 24.6273i | − | 1.22983i | −0.788594 | − | 0.614914i | \(-0.789191\pi\) | ||
0.788594 | − | 0.614914i | \(-0.210809\pi\) | |||||||
\(402\) | −13.6653 | −0.681563 | ||||||||
\(403\) | 13.2597i | 0.660514i | ||||||||
\(404\) | −3.20212 | −0.159311 | ||||||||
\(405\) | 21.1487 | − | 2.75277i | 1.05089 | − | 0.136786i | ||||
\(406\) | 8.49300 | 0.421501 | ||||||||
\(407\) | −1.00024 | − | 5.43774i | −0.0495801 | − | 0.269539i | ||||
\(408\) | − | 3.75235i | − | 0.185769i | ||||||
\(409\) | − | 25.1947i | − | 1.24580i | −0.782302 | − | 0.622899i | \(-0.785955\pi\) | ||
0.782302 | − | 0.622899i | \(-0.214045\pi\) | |||||||
\(410\) | −5.15119 | + | 0.670493i | −0.254399 | + | 0.0331133i | ||||
\(411\) | −32.0413 | −1.58048 | ||||||||
\(412\) | −17.6871 | −0.871382 | ||||||||
\(413\) | −17.5065 | −0.861441 | ||||||||
\(414\) | −1.46798 | −0.0721473 | ||||||||
\(415\) | 4.69801 | + | 36.0934i | 0.230616 | + | 1.77175i | ||||
\(416\) | −2.22269 | −0.108976 | ||||||||
\(417\) | 22.7725i | 1.11517i | ||||||||
\(418\) | − | 3.78757i | − | 0.185256i | ||||||
\(419\) | 7.19906 | 0.351697 | 0.175849 | − | 0.984417i | \(-0.443733\pi\) | ||||
0.175849 | + | 0.984417i | \(0.443733\pi\) | |||||||
\(420\) | 12.4753 | − | 1.62382i | 0.608734 | − | 0.0792344i | ||||
\(421\) | − | 34.0902i | − | 1.66145i | −0.556680 | − | 0.830727i | \(-0.687925\pi\) | ||
0.556680 | − | 0.830727i | \(-0.312075\pi\) | |||||||
\(422\) | 3.06975 | 0.149433 | ||||||||
\(423\) | 1.70302i | 0.0828038i | ||||||||
\(424\) | − | 9.37592i | − | 0.455335i | ||||||
\(425\) | −10.1522 | + | 2.68843i | −0.492455 | + | 0.130408i | ||||
\(426\) | 24.1454i | 1.16985i | ||||||||
\(427\) | 9.97114 | 0.482537 | ||||||||
\(428\) | − | 6.75126i | − | 0.326335i | ||||||
\(429\) | 3.60925i | 0.174256i | ||||||||
\(430\) | −12.6980 | + | 1.65281i | −0.612353 | + | 0.0797055i | ||||
\(431\) | 25.2123i | 1.21443i | 0.794536 | + | 0.607217i | \(0.207714\pi\) | ||||
−0.794536 | + | 0.607217i | \(0.792286\pi\) | |||||||
\(432\) | 5.01735i | 0.241397i | ||||||||
\(433\) | 21.8683i | 1.05092i | 0.850817 | + | 0.525462i | \(0.176107\pi\) | ||||
−0.850817 | + | 0.525462i | \(0.823893\pi\) | |||||||
\(434\) | 18.7878 | 0.901843 | ||||||||
\(435\) | −10.6825 | + | 1.39047i | −0.512188 | + | 0.0666678i | ||||
\(436\) | 10.5304i | 0.504314i | ||||||||
\(437\) | 31.9471i | 1.52824i | ||||||||
\(438\) | 3.83824 | 0.183398 | ||||||||
\(439\) | 9.00956i | 0.430003i | 0.976614 | + | 0.215001i | \(0.0689756\pi\) | ||||
−0.976614 | + | 0.215001i | \(0.931024\pi\) | |||||||
\(440\) | 2.01549 | − | 0.262341i | 0.0960845 | − | 0.0125066i | ||||
\(441\) | 0.558782 | 0.0266086 | ||||||||
\(442\) | 4.66860 | 0.222062 | ||||||||
\(443\) | 2.89007i | 0.137311i | 0.997640 | + | 0.0686557i | \(0.0218710\pi\) | ||||
−0.997640 | + | 0.0686557i | \(0.978129\pi\) | |||||||
\(444\) | −10.6874 | + | 1.96588i | −0.507200 | + | 0.0932966i | ||||
\(445\) | −2.41236 | − | 18.5334i | −0.114357 | − | 0.878569i | ||||
\(446\) | 13.9960i | 0.662731i | ||||||||
\(447\) | − | 12.2158i | − | 0.577787i | ||||||
\(448\) | 3.14934i | 0.148792i | ||||||||
\(449\) | 18.1539i | 0.856738i | 0.903604 | + | 0.428369i | \(0.140912\pi\) | ||||
−0.903604 | + | 0.428369i | \(0.859088\pi\) | |||||||
\(450\) | −0.925462 | + | 0.245074i | −0.0436267 | + | 0.0115529i | ||||
\(451\) | −2.11161 | −0.0994319 | ||||||||
\(452\) | −6.32365 | −0.297439 | ||||||||
\(453\) | − | 5.01466i | − | 0.235609i | ||||||
\(454\) | −11.9087 | −0.558904 | ||||||||
\(455\) | 2.02033 | + | 15.5215i | 0.0947143 | + | 0.727661i | ||||
\(456\) | −7.44411 | −0.348602 | ||||||||
\(457\) | 10.4140 | 0.487146 | 0.243573 | − | 0.969883i | \(-0.421680\pi\) | ||||
0.243573 | + | 0.969883i | \(0.421680\pi\) | |||||||
\(458\) | −7.43448 | −0.347391 | ||||||||
\(459\) | − | 10.5386i | − | 0.491899i | ||||||
\(460\) | −17.0001 | + | 2.21278i | −0.792633 | + | 0.103171i | ||||
\(461\) | 17.7433i | 0.826390i | 0.910643 | + | 0.413195i | \(0.135587\pi\) | ||||
−0.910643 | + | 0.413195i | \(0.864413\pi\) | |||||||
\(462\) | 5.11397 | 0.237923 | ||||||||
\(463\) | 11.6293 | 0.540457 | 0.270229 | − | 0.962796i | \(-0.412901\pi\) | ||||
0.270229 | + | 0.962796i | \(0.412901\pi\) | |||||||
\(464\) | − | 2.69676i | − | 0.125194i | ||||||
\(465\) | −23.6314 | + | 3.07592i | −1.09588 | + | 0.142642i | ||||
\(466\) | − | 15.2152i | − | 0.704831i | ||||||
\(467\) | 6.25208 | 0.289312 | 0.144656 | − | 0.989482i | \(-0.453793\pi\) | ||||
0.144656 | + | 0.989482i | \(0.453793\pi\) | |||||||
\(468\) | 0.425583 | 0.0196726 | ||||||||
\(469\) | −24.0903 | −1.11239 | ||||||||
\(470\) | 2.56707 | + | 19.7220i | 0.118410 | + | 0.909708i | ||||
\(471\) | −13.0104 | −0.599488 | ||||||||
\(472\) | 5.55880i | 0.255864i | ||||||||
\(473\) | −5.20525 | −0.239338 | ||||||||
\(474\) | −5.99850 | −0.275520 | ||||||||
\(475\) | 5.33344 | + | 20.1405i | 0.244715 | + | 0.924109i | ||||
\(476\) | − | 6.61496i | − | 0.303196i | ||||||
\(477\) | 1.79523i | 0.0821979i | ||||||||
\(478\) | − | 29.1359i | − | 1.33265i | ||||||
\(479\) | − | 16.4452i | − | 0.751398i | −0.926742 | − | 0.375699i | \(-0.877403\pi\) | ||
0.926742 | − | 0.375699i | \(-0.122597\pi\) | |||||||
\(480\) | −0.515607 | − | 3.96125i | −0.0235341 | − | 0.180806i | ||||
\(481\) | −2.44591 | − | 13.2970i | −0.111524 | − | 0.606291i | ||||
\(482\) | 7.08791i | 0.322845i | ||||||||
\(483\) | −43.1349 | −1.96271 | ||||||||
\(484\) | −10.1738 | −0.462445 | ||||||||
\(485\) | −11.4035 | + | 1.48431i | −0.517807 | + | 0.0673992i | ||||
\(486\) | − | 1.98686i | − | 0.0901259i | ||||||
\(487\) | 13.7966 | 0.625184 | 0.312592 | − | 0.949887i | \(-0.398803\pi\) | ||||
0.312592 | + | 0.949887i | \(0.398803\pi\) | |||||||
\(488\) | − | 3.16611i | − | 0.143323i | ||||||
\(489\) | − | 39.7166i | − | 1.79605i | ||||||
\(490\) | 6.47102 | − | 0.842286i | 0.292331 | − | 0.0380506i | ||||
\(491\) | −39.0410 | −1.76190 | −0.880949 | − | 0.473211i | \(-0.843095\pi\) | ||||
−0.880949 | + | 0.473211i | \(0.843095\pi\) | |||||||
\(492\) | 4.15017i | 0.187104i | ||||||||
\(493\) | 5.66434i | 0.255109i | ||||||||
\(494\) | − | 9.26180i | − | 0.416708i | ||||||
\(495\) | −0.385910 | + | 0.0502311i | −0.0173454 | + | 0.00225772i | ||||
\(496\) | − | 5.96563i | − | 0.267865i | ||||||
\(497\) | 42.5655i | 1.90932i | ||||||||
\(498\) | 29.0795 | 1.30308 | ||||||||
\(499\) | 40.0886i | 1.79461i | 0.441410 | + | 0.897306i | \(0.354479\pi\) | ||||
−0.441410 | + | 0.897306i | \(0.645521\pi\) | |||||||
\(500\) | −10.3480 | + | 4.23310i | −0.462776 | + | 0.189310i | ||||
\(501\) | 20.5534i | 0.918258i | ||||||||
\(502\) | 17.3622i | 0.774913i | ||||||||
\(503\) | 12.0731 | 0.538312 | 0.269156 | − | 0.963097i | \(-0.413255\pi\) | ||||
0.269156 | + | 0.963097i | \(0.413255\pi\) | |||||||
\(504\) | − | 0.603011i | − | 0.0268603i | ||||||
\(505\) | 7.10026 | − | 0.924190i | 0.315958 | − | 0.0411259i | ||||
\(506\) | −6.96879 | −0.309800 | ||||||||
\(507\) | − | 14.3983i | − | 0.639453i | ||||||
\(508\) | − | 15.0472i | − | 0.667609i | ||||||
\(509\) | 4.36466 | 0.193460 | 0.0967300 | − | 0.995311i | \(-0.469162\pi\) | ||||
0.0967300 | + | 0.995311i | \(0.469162\pi\) | |||||||
\(510\) | 1.08300 | + | 8.32033i | 0.0479559 | + | 0.368430i | ||||
\(511\) | 6.76637 | 0.299327 | ||||||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −20.9070 | −0.923066 | ||||||||
\(514\) | 13.9118 | 0.613625 | ||||||||
\(515\) | 39.2188 | − | 5.10482i | 1.72819 | − | 0.224945i | ||||
\(516\) | 10.2304i | 0.450370i | ||||||||
\(517\) | 8.08458i | 0.355559i | ||||||||
\(518\) | −18.8406 | + | 3.46562i | −0.827808 | + | 0.152271i | ||||
\(519\) | 28.0621 | 1.23179 | ||||||||
\(520\) | 4.92850 | − | 0.641508i | 0.216129 | − | 0.0281320i | ||||
\(521\) | −16.7088 | −0.732025 | −0.366013 | − | 0.930610i | \(-0.619277\pi\) | ||||
−0.366013 | + | 0.930610i | \(0.619277\pi\) | |||||||
\(522\) | 0.516354i | 0.0226002i | ||||||||
\(523\) | 32.5266 | 1.42229 | 0.711144 | − | 0.703047i | \(-0.248177\pi\) | ||||
0.711144 | + | 0.703047i | \(0.248177\pi\) | |||||||
\(524\) | − | 3.31974i | − | 0.145024i | ||||||
\(525\) | −27.1937 | + | 7.20121i | −1.18683 | + | 0.314287i | ||||
\(526\) | 0.302157i | 0.0131747i | ||||||||
\(527\) | 12.5304i | 0.545832i | ||||||||
\(528\) | − | 1.62382i | − | 0.0706678i | ||||||
\(529\) | 35.7798 | 1.55564 | ||||||||
\(530\) | 2.70606 | + | 20.7898i | 0.117544 | + | 0.903052i | ||||
\(531\) | − | 1.06436i | − | 0.0461891i | ||||||
\(532\) | −13.1231 | −0.568959 | ||||||||
\(533\) | −5.16356 | −0.223659 | ||||||||
\(534\) | −14.9319 | −0.646166 | ||||||||
\(535\) | 1.94854 | + | 14.9700i | 0.0842426 | + | 0.647210i | ||||
\(536\) | 7.64933i | 0.330401i | ||||||||
\(537\) | −20.2100 | −0.872126 | ||||||||
\(538\) | −28.8001 | −1.24166 | ||||||||
\(539\) | 2.65265 | 0.114258 | ||||||||
\(540\) | −1.44810 | − | 11.1253i | −0.0623162 | − | 0.478756i | ||||
\(541\) | − | 19.2331i | − | 0.826894i | −0.910528 | − | 0.413447i | \(-0.864325\pi\) | ||
0.910528 | − | 0.413447i | \(-0.135675\pi\) | |||||||
\(542\) | 1.57340 | 0.0675832 | ||||||||
\(543\) | 32.7166i | 1.40400i | ||||||||
\(544\) | −2.10043 | −0.0900551 | ||||||||
\(545\) | −3.03926 | − | 23.3497i | −0.130188 | − | 1.00019i | ||||
\(546\) | 12.5053 | 0.535177 | ||||||||
\(547\) | −8.88173 | −0.379755 | −0.189878 | − | 0.981808i | \(-0.560809\pi\) | ||||
−0.189878 | + | 0.981808i | \(0.560809\pi\) | |||||||
\(548\) | 17.9355i | 0.766168i | ||||||||
\(549\) | 0.606222i | 0.0258729i | ||||||||
\(550\) | −4.39335 | + | 1.16341i | −0.187333 | + | 0.0496080i | ||||
\(551\) | 11.2372 | 0.478722 | ||||||||
\(552\) | 13.6965i | 0.582962i | ||||||||
\(553\) | −10.5747 | −0.449680 | ||||||||
\(554\) | −26.3430 | −1.11921 | ||||||||
\(555\) | 23.1304 | − | 7.44364i | 0.981830 | − | 0.315965i | ||||
\(556\) | 12.7472 | 0.540601 | ||||||||
\(557\) | −44.3010 | −1.87709 | −0.938547 | − | 0.345150i | \(-0.887828\pi\) | ||||
−0.938547 | + | 0.345150i | \(0.887828\pi\) | |||||||
\(558\) | 1.14225i | 0.0483554i | ||||||||
\(559\) | −12.7285 | −0.538358 | ||||||||
\(560\) | −0.908956 | − | 6.98323i | −0.0384104 | − | 0.295095i | ||||
\(561\) | 3.41072i | 0.144001i | ||||||||
\(562\) | − | 9.45482i | − | 0.398828i | ||||||
\(563\) | −19.8885 | −0.838202 | −0.419101 | − | 0.907940i | \(-0.637655\pi\) | ||||
−0.419101 | + | 0.907940i | \(0.637655\pi\) | |||||||
\(564\) | 15.8895 | 0.669068 | ||||||||
\(565\) | 14.0218 | − | 1.82512i | 0.589903 | − | 0.0767834i | ||||
\(566\) | 21.7389 | 0.913754 | ||||||||
\(567\) | − | 30.0376i | − | 1.26146i | ||||||
\(568\) | 13.5157 | 0.567106 | ||||||||
\(569\) | 3.13170i | 0.131288i | 0.997843 | + | 0.0656439i | \(0.0209101\pi\) | ||||
−0.997843 | + | 0.0656439i | \(0.979090\pi\) | |||||||
\(570\) | 16.5063 | − | 2.14851i | 0.691373 | − | 0.0899910i | ||||
\(571\) | −19.2774 | −0.806732 | −0.403366 | − | 0.915039i | \(-0.632160\pi\) | ||||
−0.403366 | + | 0.915039i | \(0.632160\pi\) | |||||||
\(572\) | 2.02033 | 0.0844741 | ||||||||
\(573\) | 13.6844 | 0.571674 | ||||||||
\(574\) | 7.31628i | 0.305376i | ||||||||
\(575\) | 37.0567 | − | 9.81306i | 1.54537 | − | 0.409233i | ||||
\(576\) | −0.191472 | −0.00797801 | ||||||||
\(577\) | −24.8001 | −1.03244 | −0.516220 | − | 0.856456i | \(-0.672661\pi\) | ||||
−0.516220 | + | 0.856456i | \(0.672661\pi\) | |||||||
\(578\) | −12.5882 | −0.523600 | ||||||||
\(579\) | 34.5053i | 1.43399i | ||||||||
\(580\) | 0.778332 | + | 5.97969i | 0.0323185 | + | 0.248293i | ||||
\(581\) | 51.2637 | 2.12678 | ||||||||
\(582\) | 9.18750i | 0.380834i | ||||||||
\(583\) | 8.52230i | 0.352958i | ||||||||
\(584\) | − | 2.14851i | − | 0.0889058i | ||||||
\(585\) | −0.943672 | + | 0.122831i | −0.0390160 | + | 0.00507843i | ||||
\(586\) | − | 11.1283i | − | 0.459705i | ||||||
\(587\) | 16.1319 | 0.665836 | 0.332918 | − | 0.942956i | \(-0.391967\pi\) | ||||
0.332918 | + | 0.942956i | \(0.391967\pi\) | |||||||
\(588\) | − | 5.21353i | − | 0.215002i | ||||||
\(589\) | 24.8584 | 1.02427 | ||||||||
\(590\) | −1.60437 | − | 12.3259i | −0.0660508 | − | 0.507448i | ||||
\(591\) | −23.4372 | −0.964076 | ||||||||
\(592\) | 1.10043 | + | 5.98240i | 0.0452273 | + | 0.245875i | ||||
\(593\) | 28.2040i | 1.15820i | 0.815256 | + | 0.579100i | \(0.196596\pi\) | ||||
−0.815256 | + | 0.579100i | \(0.803404\pi\) | |||||||
\(594\) | − | 4.56055i | − | 0.187122i | ||||||
\(595\) | 1.90920 | + | 14.6678i | 0.0782695 | + | 0.601320i | ||||
\(596\) | −6.83795 | −0.280093 | ||||||||
\(597\) | 10.8001 | 0.442018 | ||||||||
\(598\) | −17.0409 | −0.696854 | ||||||||
\(599\) | −24.8280 | −1.01444 | −0.507222 | − | 0.861815i | \(-0.669328\pi\) | ||||
−0.507222 | + | 0.861815i | \(0.669328\pi\) | |||||||
\(600\) | 2.28658 | + | 8.63472i | 0.0933491 | + | 0.352511i | ||||
\(601\) | −2.87745 | −0.117374 | −0.0586868 | − | 0.998276i | \(-0.518691\pi\) | ||||
−0.0586868 | + | 0.998276i | \(0.518691\pi\) | |||||||
\(602\) | 18.0351i | 0.735056i | ||||||||
\(603\) | − | 1.46464i | − | 0.0596446i | ||||||
\(604\) | −2.80702 | −0.114216 | ||||||||
\(605\) | 22.5590 | − | 2.93634i | 0.917154 | − | 0.119379i | ||||
\(606\) | − | 5.72049i | − | 0.232379i | ||||||
\(607\) | 25.7881 | 1.04671 | 0.523353 | − | 0.852116i | \(-0.324681\pi\) | ||||
0.523353 | + | 0.852116i | \(0.324681\pi\) | |||||||
\(608\) | 4.16694i | 0.168992i | ||||||||
\(609\) | 15.1725i | 0.614820i | ||||||||
\(610\) | 0.913795 | + | 7.02041i | 0.0369985 | + | 0.284248i | ||||
\(611\) | 19.7694i | 0.799783i | ||||||||
\(612\) | 0.402174 | 0.0162569 | ||||||||
\(613\) | 32.4248i | 1.30962i | 0.755792 | + | 0.654812i | \(0.227252\pi\) | ||||
−0.755792 | + | 0.654812i | \(0.772748\pi\) | |||||||
\(614\) | − | 15.9903i | − | 0.645317i | ||||||
\(615\) | −1.19782 | − | 9.20244i | −0.0483006 | − | 0.371078i | ||||
\(616\) | − | 2.86261i | − | 0.115338i | ||||||
\(617\) | 5.69333i | 0.229205i | 0.993411 | + | 0.114602i | \(0.0365594\pi\) | ||||
−0.993411 | + | 0.114602i | \(0.963441\pi\) | |||||||
\(618\) | − | 31.5975i | − | 1.27104i | ||||||
\(619\) | −4.76393 | −0.191478 | −0.0957392 | − | 0.995406i | \(-0.530521\pi\) | ||||
−0.0957392 | + | 0.995406i | \(0.530521\pi\) | |||||||
\(620\) | 1.72179 | + | 13.2280i | 0.0691487 | + | 0.531248i | ||||
\(621\) | 38.4670i | 1.54363i | ||||||||
\(622\) | − | 29.6416i | − | 1.18852i | ||||||
\(623\) | −26.3232 | −1.05462 | ||||||||
\(624\) | − | 3.97076i | − | 0.158958i | ||||||
\(625\) | 21.7235 | − | 12.3729i | 0.868940 | − | 0.494918i | ||||
\(626\) | 10.0000 | 0.399680 | ||||||||
\(627\) | 6.76637 | 0.270223 | ||||||||
\(628\) | 7.28275i | 0.290613i | ||||||||
\(629\) | −2.31137 | − | 12.5656i | −0.0921604 | − | 0.501023i | ||||
\(630\) | 0.174040 | + | 1.33710i | 0.00693392 | + | 0.0532712i | ||||
\(631\) | 8.72673i | 0.347405i | 0.984798 | + | 0.173703i | \(0.0555732\pi\) | ||||
−0.984798 | + | 0.173703i | \(0.944427\pi\) | |||||||
\(632\) | 3.35774i | 0.133564i | ||||||||
\(633\) | 5.48401i | 0.217970i | ||||||||
\(634\) | − | 21.1397i | − | 0.839564i | ||||||
\(635\) | 4.34288 | + | 33.3650i | 0.172342 | + | 1.32405i | ||||
\(636\) | 16.7498 | 0.664173 | ||||||||
\(637\) | 6.48656 | 0.257007 | ||||||||
\(638\) | 2.45123i | 0.0970453i | ||||||||
\(639\) | −2.58788 | −0.102375 | ||||||||
\(640\) | −2.21736 | + | 0.288618i | −0.0876490 | + | 0.0114086i | ||||
\(641\) | −41.1790 | −1.62647 | −0.813237 | − | 0.581933i | \(-0.802297\pi\) | ||||
−0.813237 | + | 0.581933i | \(0.802297\pi\) | |||||||
\(642\) | 12.0609 | 0.476007 | ||||||||
\(643\) | −6.12834 | −0.241678 | −0.120839 | − | 0.992672i | \(-0.538559\pi\) | ||||
−0.120839 | + | 0.992672i | \(0.538559\pi\) | |||||||
\(644\) | 24.1454i | 0.951460i | ||||||||
\(645\) | −2.95269 | − | 22.6846i | −0.116262 | − | 0.893206i | ||||
\(646\) | − | 8.75236i | − | 0.344357i | ||||||
\(647\) | −31.3270 | −1.23159 | −0.615796 | − | 0.787905i | \(-0.711166\pi\) | ||||
−0.615796 | + | 0.787905i | \(0.711166\pi\) | |||||||
\(648\) | −9.53776 | −0.374678 | ||||||||
\(649\) | − | 5.05270i | − | 0.198336i | ||||||
\(650\) | −10.7431 | + | 2.84491i | −0.421380 | + | 0.111587i | ||||
\(651\) | 33.5638i | 1.31547i | ||||||||
\(652\) | −22.2319 | −0.870669 | ||||||||
\(653\) | 0.716146 | 0.0280250 | 0.0140125 | − | 0.999902i | \(-0.495540\pi\) | ||||
0.0140125 | + | 0.999902i | \(0.495540\pi\) | |||||||
\(654\) | −18.8122 | −0.735616 | ||||||||
\(655\) | 0.958138 | + | 7.36108i | 0.0374375 | + | 0.287621i | ||||
\(656\) | 2.32312 | 0.0907024 | ||||||||
\(657\) | 0.411379i | 0.0160494i | ||||||||
\(658\) | 28.0113 | 1.09200 | ||||||||
\(659\) | −10.8796 | −0.423810 | −0.211905 | − | 0.977290i | \(-0.567967\pi\) | ||||
−0.211905 | + | 0.977290i | \(0.567967\pi\) | |||||||
\(660\) | 0.468665 | + | 3.60060i | 0.0182427 | + | 0.140153i | ||||
\(661\) | − | 37.4927i | − | 1.45830i | −0.684355 | − | 0.729149i | \(-0.739916\pi\) | ||
0.684355 | − | 0.729149i | \(-0.260084\pi\) | |||||||
\(662\) | 18.7324i | 0.728057i | ||||||||
\(663\) | 8.34030i | 0.323910i | ||||||||
\(664\) | − | 16.2776i | − | 0.631694i | ||||||
\(665\) | 29.0987 | − | 3.78757i | 1.12840 | − | 0.146876i | ||||
\(666\) | −0.210702 | − | 1.14546i | −0.00816452 | − | 0.0443858i | ||||
\(667\) | − | 20.6755i | − | 0.800558i | ||||||
\(668\) | 11.5050 | 0.445143 | ||||||||
\(669\) | −25.0035 | −0.966689 | ||||||||
\(670\) | −2.20774 | − | 16.9613i | −0.0852922 | − | 0.655274i | ||||
\(671\) | 2.87785i | 0.111098i | ||||||||
\(672\) | −5.62620 | −0.217035 | ||||||||
\(673\) | − | 38.2532i | − | 1.47455i | −0.675591 | − | 0.737277i | \(-0.736111\pi\) | ||
0.675591 | − | 0.737277i | \(-0.263889\pi\) | |||||||
\(674\) | − | 13.9123i | − | 0.535881i | ||||||
\(675\) | 6.42192 | + | 24.2508i | 0.247180 | + | 0.933416i | ||||
\(676\) | −8.05966 | −0.309987 | ||||||||
\(677\) | 45.0250i | 1.73045i | 0.501381 | + | 0.865227i | \(0.332825\pi\) | ||||
−0.501381 | + | 0.865227i | \(0.667175\pi\) | |||||||
\(678\) | − | 11.2970i | − | 0.433859i | ||||||
\(679\) | 16.1965i | 0.621565i | ||||||||
\(680\) | 4.65741 | − | 0.606222i | 0.178604 | − | 0.0232475i | ||||
\(681\) | − | 21.2746i | − | 0.815243i | ||||||
\(682\) | 5.42250i | 0.207638i | ||||||||
\(683\) | 34.7787 | 1.33077 | 0.665384 | − | 0.746501i | \(-0.268268\pi\) | ||||
0.665384 | + | 0.746501i | \(0.268268\pi\) | |||||||
\(684\) | − | 0.797854i | − | 0.0305067i | ||||||
\(685\) | −5.17652 | − | 39.7696i | −0.197785 | − | 1.51952i | ||||
\(686\) | 12.8545i | 0.490788i | ||||||||
\(687\) | − | 13.2815i | − | 0.506720i | ||||||
\(688\) | 5.72663 | 0.218326 | ||||||||
\(689\) | 20.8397i | 0.793931i | ||||||||
\(690\) | −3.95306 | − | 30.3701i | −0.150490 | − | 1.15617i | ||||
\(691\) | 38.8781 | 1.47899 | 0.739497 | − | 0.673160i | \(-0.235063\pi\) | ||||
0.739497 | + | 0.673160i | \(0.235063\pi\) | |||||||
\(692\) | − | 15.7081i | − | 0.597134i | ||||||
\(693\) | 0.548111i | 0.0208210i | ||||||||
\(694\) | 24.5885 | 0.933367 | ||||||||
\(695\) | −28.2652 | + | 3.67907i | −1.07216 | + | 0.139555i | ||||
\(696\) | 4.81767 | 0.182613 | ||||||||
\(697\) | −4.87954 | −0.184826 | ||||||||
\(698\) | −10.2324 | −0.387301 | ||||||||
\(699\) | 27.1815 | 1.02810 | ||||||||
\(700\) | 4.03097 | + | 15.2220i | 0.152356 | + | 0.575338i | ||||
\(701\) | 41.6474i | 1.57300i | 0.617589 | + | 0.786501i | \(0.288110\pi\) | ||||
−0.617589 | + | 0.786501i | \(0.711890\pi\) | |||||||
\(702\) | − | 11.1520i | − | 0.420905i | ||||||
\(703\) | −24.9283 | + | 4.58542i | −0.940188 | + | 0.172942i | ||||
\(704\) | −0.908956 | −0.0342576 | ||||||||
\(705\) | −35.2328 | + | 4.58599i | −1.32694 | + | 0.172718i | ||||
\(706\) | 1.74540 | 0.0656889 | ||||||||
\(707\) | − | 10.0846i | − | 0.379269i | ||||||
\(708\) | −9.93062 | −0.373216 | ||||||||
\(709\) | 3.86911i | 0.145307i | 0.997357 | + | 0.0726537i | \(0.0231468\pi\) | ||||
−0.997357 | + | 0.0726537i | \(0.976853\pi\) | |||||||
\(710\) | −29.9692 | + | 3.90087i | −1.12472 | + | 0.146397i | ||||
\(711\) | − | 0.642914i | − | 0.0241112i | ||||||
\(712\) | 8.35832i | 0.313241i | ||||||||
\(713\) | − | 45.7373i | − | 1.71287i | ||||||
\(714\) | 11.8174 | 0.442256 | ||||||||
\(715\) | −4.47980 | + | 0.583102i | −0.167535 | + | 0.0218068i | ||||
\(716\) | 11.3128i | 0.422780i | ||||||||
\(717\) | 52.0504 | 1.94386 | ||||||||
\(718\) | 21.1922 | 0.790884 | ||||||||
\(719\) | −26.4440 | −0.986194 | −0.493097 | − | 0.869974i | \(-0.664135\pi\) | ||||
−0.493097 | + | 0.869974i | \(0.664135\pi\) | |||||||
\(720\) | 0.424564 | − | 0.0552624i | 0.0158226 | − | 0.00205951i | ||||
\(721\) | − | 55.7028i | − | 2.07448i | ||||||
\(722\) | 1.63660 | 0.0609081 | ||||||||
\(723\) | −12.6623 | −0.470917 | ||||||||
\(724\) | 18.3136 | 0.680618 | ||||||||
\(725\) | −3.45169 | − | 13.0345i | −0.128193 | − | 0.484089i | ||||
\(726\) | − | 18.1752i | − | 0.674544i | ||||||
\(727\) | 28.3958 | 1.05314 | 0.526571 | − | 0.850131i | \(-0.323478\pi\) | ||||
0.526571 | + | 0.850131i | \(0.323478\pi\) | |||||||
\(728\) | − | 7.00000i | − | 0.259437i | ||||||
\(729\) | −25.0638 | −0.928289 | ||||||||
\(730\) | 0.620097 | + | 4.76402i | 0.0229508 | + | 0.176324i | ||||
\(731\) | −12.0284 | −0.444885 | ||||||||
\(732\) | 5.65615 | 0.209057 | ||||||||
\(733\) | − | 19.8801i | − | 0.734289i | −0.930164 | − | 0.367144i | \(-0.880336\pi\) | ||
0.930164 | − | 0.367144i | \(-0.119664\pi\) | |||||||
\(734\) | 9.69901i | 0.357997i | ||||||||
\(735\) | 1.50472 | + | 11.5603i | 0.0555024 | + | 0.426407i | ||||
\(736\) | 7.66680 | 0.282602 | ||||||||
\(737\) | − | 6.95291i | − | 0.256114i | ||||||
\(738\) | −0.444812 | −0.0163738 | ||||||||
\(739\) | −42.1224 | −1.54950 | −0.774749 | − | 0.632269i | \(-0.782124\pi\) | ||||
−0.774749 | + | 0.632269i | \(0.782124\pi\) | |||||||
\(740\) | −4.16668 | − | 12.9475i | −0.153170 | − | 0.475961i | ||||
\(741\) | 16.5459 | 0.607830 | ||||||||
\(742\) | 29.5280 | 1.08401 | ||||||||
\(743\) | 23.5575i | 0.864242i | 0.901816 | + | 0.432121i | \(0.142235\pi\) | ||||
−0.901816 | + | 0.432121i | \(0.857765\pi\) | |||||||
\(744\) | 10.6574 | 0.390720 | ||||||||
\(745\) | 15.1622 | − | 1.97355i | 0.555500 | − | 0.0723054i | ||||
\(746\) | − | 36.8658i | − | 1.34975i | ||||||
\(747\) | 3.11671i | 0.114035i | ||||||||
\(748\) | 1.90920 | 0.0698072 | ||||||||
\(749\) | 21.2620 | 0.776897 | ||||||||
\(750\) | −7.56231 | − | 18.4864i | −0.276136 | − | 0.675026i | ||||
\(751\) | 32.6454 | 1.19125 | 0.595624 | − | 0.803263i | \(-0.296905\pi\) | ||||
0.595624 | + | 0.803263i | \(0.296905\pi\) | |||||||
\(752\) | − | 8.89435i | − | 0.324344i | ||||||
\(753\) | −31.0170 | −1.13032 | ||||||||
\(754\) | 5.99404i | 0.218290i | ||||||||
\(755\) | 6.22419 | − | 0.810158i | 0.226522 | − | 0.0294847i | ||||
\(756\) | −15.8013 | −0.574689 | ||||||||
\(757\) | −30.3562 | −1.10331 | −0.551657 | − | 0.834071i | \(-0.686004\pi\) | ||||
−0.551657 | + | 0.834071i | \(0.686004\pi\) | |||||||
\(758\) | 31.7074 | 1.15167 | ||||||||
\(759\) | − | 12.4495i | − | 0.451889i | ||||||
\(760\) | −1.20265 | − | 9.23962i | −0.0436249 | − | 0.335156i | ||||
\(761\) | −38.6682 | −1.40172 | −0.700860 | − | 0.713299i | \(-0.747200\pi\) | ||||
−0.700860 | + | 0.713299i | \(0.747200\pi\) | |||||||
\(762\) | 26.8813 | 0.973806 | ||||||||
\(763\) | −33.1638 | −1.20061 | ||||||||
\(764\) | − | 7.66002i | − | 0.277130i | ||||||
\(765\) | −0.891766 | + | 0.116075i | −0.0322419 | + | 0.00419669i | ||||
\(766\) | 3.45325 | 0.124771 | ||||||||
\(767\) | − | 12.3555i | − | 0.446130i | ||||||
\(768\) | 1.78647i | 0.0644637i | ||||||||
\(769\) | − | 23.8517i | − | 0.860114i | −0.902802 | − | 0.430057i | \(-0.858494\pi\) | ||
0.902802 | − | 0.430057i | \(-0.141506\pi\) | |||||||
\(770\) | 0.826202 | + | 6.34745i | 0.0297742 | + | 0.228746i | ||||
\(771\) | 24.8531i | 0.895062i | ||||||||
\(772\) | 19.3148 | 0.695156 | ||||||||
\(773\) | 38.4580i | 1.38324i | 0.722262 | + | 0.691620i | \(0.243103\pi\) | ||||
−0.722262 | + | 0.691620i | \(0.756897\pi\) | |||||||
\(774\) | −1.09649 | −0.0394125 | ||||||||
\(775\) | −7.63566 | − | 28.8343i | −0.274281 | − | 1.03576i | ||||
\(776\) | 5.14283 | 0.184617 | ||||||||
\(777\) | −6.19123 | − | 33.6581i | −0.222109 | − | 1.20748i | ||||
\(778\) | − | 39.2237i | − | 1.40624i | ||||||
\(779\) | 9.68029i | 0.346832i | ||||||||
\(780\) | 1.14603 | + | 8.80462i | 0.0410346 | + | 0.315256i | ||||
\(781\) | −12.2852 | −0.439598 | ||||||||
\(782\) | −16.1036 | −0.575862 | ||||||||
\(783\) | 13.5306 | 0.483543 | ||||||||
\(784\) | −2.91834 | −0.104226 | ||||||||
\(785\) | −2.10193 | − | 16.1485i | −0.0750212 | − | 0.576365i | ||||
\(786\) | 5.93062 | 0.211538 | ||||||||
\(787\) | − | 39.3808i | − | 1.40378i | −0.712288 | − | 0.701888i | \(-0.752341\pi\) | ||
0.712288 | − | 0.701888i | \(-0.247659\pi\) | |||||||
\(788\) | 13.1193i | 0.467354i | ||||||||
\(789\) | −0.539794 | −0.0192172 | ||||||||
\(790\) | −0.969104 | − | 7.44533i | −0.0344792 | − | 0.264893i | ||||
\(791\) | − | 19.9153i | − | 0.708107i | ||||||
\(792\) | 0.174040 | 0.00618424 | ||||||||
\(793\) | 7.03726i | 0.249901i | ||||||||
\(794\) | 5.75234i | 0.204143i | ||||||||
\(795\) | −37.1404 | + | 4.83429i | −1.31723 | + | 0.171455i | ||||
\(796\) | − | 6.04548i | − | 0.214277i | ||||||
\(797\) | 28.0428 | 0.993327 | 0.496663 | − | 0.867943i | \(-0.334558\pi\) | ||||
0.496663 | + | 0.867943i | \(0.334558\pi\) | |||||||
\(798\) | − | 23.4440i | − | 0.829910i | ||||||
\(799\) | 18.6820i | 0.660920i | ||||||||
\(800\) | 4.83340 | − | 1.27994i | 0.170886 | − | 0.0452528i | ||||
\(801\) | − | 1.60039i | − | 0.0565469i | ||||||
\(802\) | − | 24.6273i | − | 0.869620i | ||||||
\(803\) | 1.95290i | 0.0689163i | ||||||||
\(804\) | −13.6653 | −0.481938 | ||||||||
\(805\) | −6.96879 | − | 53.5390i | −0.245617 | − | 1.88700i | ||||
\(806\) | 13.2597i | 0.467054i | ||||||||
\(807\) | − | 51.4504i | − | 1.81114i | ||||||
\(808\) | −3.20212 | −0.112650 | ||||||||
\(809\) | 6.86304i | 0.241292i | 0.992696 | + | 0.120646i | \(0.0384965\pi\) | ||||
−0.992696 | + | 0.120646i | \(0.961503\pi\) | |||||||
\(810\) | 21.1487 | − | 2.75277i | 0.743088 | − | 0.0967224i | ||||
\(811\) | −13.4852 | −0.473529 | −0.236765 | − | 0.971567i | \(-0.576087\pi\) | ||||
−0.236765 | + | 0.971567i | \(0.576087\pi\) | |||||||
\(812\) | 8.49300 | 0.298046 | ||||||||
\(813\) | 2.81082i | 0.0985799i | ||||||||
\(814\) | −1.00024 | − | 5.43774i | −0.0350585 | − | 0.190593i | ||||
\(815\) | 49.2962 | − | 6.41653i | 1.72677 | − | 0.224761i | ||||
\(816\) | − | 3.75235i | − | 0.131359i | ||||||
\(817\) | 23.8625i | 0.834844i | ||||||||
\(818\) | − | 25.1947i | − | 0.880913i | ||||||
\(819\) | 1.34031i | 0.0468341i | ||||||||
\(820\) | −5.15119 | + | 0.670493i | −0.179887 | + | 0.0234146i | ||||
\(821\) | −20.0198 | −0.698697 | −0.349349 | − | 0.936993i | \(-0.613597\pi\) | ||||
−0.349349 | + | 0.936993i | \(0.613597\pi\) | |||||||
\(822\) | −32.0413 | −1.11757 | ||||||||
\(823\) | − | 6.23551i | − | 0.217356i | −0.994077 | − | 0.108678i | \(-0.965338\pi\) | ||
0.994077 | − | 0.108678i | \(-0.0346618\pi\) | |||||||
\(824\) | −17.6871 | −0.616160 | ||||||||
\(825\) | −2.07840 | − | 7.84858i | −0.0723606 | − | 0.273253i | ||||
\(826\) | −17.5065 | −0.609130 | ||||||||
\(827\) | −33.7887 | −1.17495 | −0.587475 | − | 0.809243i | \(-0.699878\pi\) | ||||
−0.587475 | + | 0.809243i | \(0.699878\pi\) | |||||||
\(828\) | −1.46798 | −0.0510158 | ||||||||
\(829\) | 31.8041i | 1.10460i | 0.833645 | + | 0.552301i | \(0.186250\pi\) | ||||
−0.833645 | + | 0.552301i | \(0.813750\pi\) | |||||||
\(830\) | 4.69801 | + | 36.0934i | 0.163070 | + | 1.25282i | ||||
\(831\) | − | 47.0609i | − | 1.63253i | ||||||
\(832\) | −2.22269 | −0.0770578 | ||||||||
\(833\) | 6.12977 | 0.212384 | ||||||||
\(834\) | 22.7725i | 0.788546i | ||||||||
\(835\) | −25.5108 | + | 3.32056i | −0.882839 | + | 0.114913i | ||||
\(836\) | − | 3.78757i | − | 0.130996i | ||||||
\(837\) | 29.9316 | 1.03459 | ||||||||
\(838\) | 7.19906 | 0.248687 | ||||||||
\(839\) | 1.55322 | 0.0536233 | 0.0268116 | − | 0.999641i | \(-0.491465\pi\) | ||||
0.0268116 | + | 0.999641i | \(0.491465\pi\) | |||||||
\(840\) | 12.4753 | − | 1.62382i | 0.430440 | − | 0.0560272i | ||||
\(841\) | 21.7275 | 0.749224 | ||||||||
\(842\) | − | 34.0902i | − | 1.17483i | ||||||
\(843\) | 16.8907 | 0.581748 | ||||||||
\(844\) | 3.06975 | 0.105665 | ||||||||
\(845\) | 17.8712 | − | 2.32616i | 0.614788 | − | 0.0800225i | ||||
\(846\) | 1.70302i | 0.0585511i | ||||||||
\(847\) | − | 32.0407i | − | 1.10093i | ||||||
\(848\) | − | 9.37592i | − | 0.321970i | ||||||
\(849\) | 38.8359i | 1.33284i | ||||||||
\(850\) | −10.1522 | + | 2.68843i | −0.348218 | + | 0.0922123i | ||||
\(851\) | 8.43677 | + | 45.8658i | 0.289209 | + | 1.57226i | ||||
\(852\) | 24.1454i | 0.827206i | ||||||||
\(853\) | 37.4272 | 1.28148 | 0.640741 | − | 0.767757i | \(-0.278627\pi\) | ||||
0.640741 | + | 0.767757i | \(0.278627\pi\) | |||||||
\(854\) | 9.97114 | 0.341206 | ||||||||
\(855\) | 0.230275 | + | 1.76913i | 0.00787524 | + | 0.0605030i | ||||
\(856\) | − | 6.75126i | − | 0.230753i | ||||||
\(857\) | 21.2048 | 0.724341 | 0.362171 | − | 0.932112i | \(-0.382036\pi\) | ||||
0.362171 | + | 0.932112i | \(0.382036\pi\) | |||||||
\(858\) | 3.60925i | 0.123218i | ||||||||
\(859\) | 41.1942i | 1.40553i | 0.711424 | + | 0.702764i | \(0.248051\pi\) | ||||
−0.711424 | + | 0.702764i | \(0.751949\pi\) | |||||||
\(860\) | −12.6980 | + | 1.65281i | −0.432999 | + | 0.0563603i | ||||
\(861\) | −13.0703 | −0.445435 | ||||||||
\(862\) | 25.2123i | 0.858734i | ||||||||
\(863\) | 42.7716i | 1.45596i | 0.685597 | + | 0.727982i | \(0.259541\pi\) | ||||
−0.685597 | + | 0.727982i | \(0.740459\pi\) | |||||||
\(864\) | 5.01735i | 0.170694i | ||||||||
\(865\) | 4.53365 | + | 34.8306i | 0.154149 | + | 1.18428i | ||||
\(866\) | 21.8683i | 0.743115i | ||||||||
\(867\) | − | 22.4884i | − | 0.763747i | ||||||
\(868\) | 18.7878 | 0.637699 | ||||||||
\(869\) | − | 3.05204i | − | 0.103533i | ||||||
\(870\) | −10.6825 | + | 1.39047i | −0.362172 | + | 0.0471412i | ||||
\(871\) | − | 17.0021i | − | 0.576093i | ||||||
\(872\) | 10.5304i | 0.356604i | ||||||||
\(873\) | −0.984709 | −0.0333273 | ||||||||
\(874\) | 31.9471i | 1.08063i | ||||||||
\(875\) | −13.3315 | − | 32.5893i | −0.450686 | − | 1.10172i | ||||
\(876\) | 3.83824 | 0.129682 | ||||||||
\(877\) | − | 50.8976i | − | 1.71869i | −0.511397 | − | 0.859345i | \(-0.670872\pi\) | ||
0.511397 | − | 0.859345i | \(-0.329128\pi\) | |||||||
\(878\) | 9.00956i | 0.304058i | ||||||||
\(879\) | 19.8803 | 0.670547 | ||||||||
\(880\) | 2.01549 | − | 0.262341i | 0.0679420 | − | 0.00884352i | ||||
\(881\) | −44.1155 | −1.48629 | −0.743144 | − | 0.669132i | \(-0.766666\pi\) | ||||
−0.743144 | + | 0.669132i | \(0.766666\pi\) | |||||||
\(882\) | 0.558782 | 0.0188152 | ||||||||
\(883\) | 46.0708 | 1.55041 | 0.775203 | − | 0.631713i | \(-0.217648\pi\) | ||||
0.775203 | + | 0.631713i | \(0.217648\pi\) | |||||||
\(884\) | 4.66860 | 0.157022 | ||||||||
\(885\) | 22.0198 | − | 2.86616i | 0.740187 | − | 0.0963448i | ||||
\(886\) | 2.89007i | 0.0970939i | ||||||||
\(887\) | 41.8693i | 1.40583i | 0.711272 | + | 0.702916i | \(0.248119\pi\) | ||||
−0.711272 | + | 0.702916i | \(0.751881\pi\) | |||||||
\(888\) | −10.6874 | + | 1.96588i | −0.358645 | + | 0.0659707i | ||||
\(889\) | 47.3886 | 1.58936 | ||||||||
\(890\) | −2.41236 | − | 18.5334i | −0.0808626 | − | 0.621242i | ||||
\(891\) | 8.66940 | 0.290436 | ||||||||
\(892\) | 13.9960i | 0.468621i | ||||||||
\(893\) | 37.0622 | 1.24024 | ||||||||
\(894\) | − | 12.2158i | − | 0.408557i | ||||||
\(895\) | −3.26508 | − | 25.0846i | −0.109140 | − | 0.838487i | ||||
\(896\) | 3.14934i | 0.105212i | ||||||||
\(897\) | − | 30.4430i | − | 1.01646i | ||||||
\(898\) | 18.1539i | 0.605805i | ||||||||
\(899\) | −16.0878 | −0.536560 | ||||||||
\(900\) | −0.925462 | + | 0.245074i | −0.0308487 | + | 0.00816912i | ||||
\(901\) | 19.6935i | 0.656084i | ||||||||
\(902\) | −2.11161 | −0.0703089 | ||||||||
\(903\) | −32.2191 | −1.07219 | ||||||||
\(904\) | −6.32365 | −0.210321 | ||||||||
\(905\) | −40.6078 | + | 5.28563i | −1.34985 | + | 0.175700i | ||||
\(906\) | − | 5.01466i | − | 0.166601i | ||||||
\(907\) | −30.2279 | −1.00370 | −0.501851 | − | 0.864954i | \(-0.667347\pi\) | ||||
−0.501851 | + | 0.864954i | \(0.667347\pi\) | |||||||
\(908\) | −11.9087 | −0.395205 | ||||||||
\(909\) | 0.613117 | 0.0203358 | ||||||||
\(910\) | 2.02033 | + | 15.5215i | 0.0669731 | + | 0.514534i | ||||
\(911\) | 8.01080i | 0.265409i | 0.991156 | + | 0.132705i | \(0.0423662\pi\) | ||||
−0.991156 | + | 0.132705i | \(0.957634\pi\) | |||||||
\(912\) | −7.44411 | −0.246499 | ||||||||
\(913\) | 14.7956i | 0.489664i | ||||||||
\(914\) | 10.4140 | 0.344464 | ||||||||
\(915\) | −12.5417 | + | 1.63247i | −0.414617 | + | 0.0539677i | ||||
\(916\) | −7.43448 | −0.245642 | ||||||||
\(917\) | 10.4550 | 0.345255 | ||||||||
\(918\) | − | 10.5386i | − | 0.347825i | ||||||
\(919\) | 27.1395i | 0.895249i | 0.894222 | + | 0.447624i | \(0.147730\pi\) | ||||
−0.894222 | + | 0.447624i | \(0.852270\pi\) | |||||||
\(920\) | −17.0001 | + | 2.21278i | −0.560476 | + | 0.0729531i | ||||
\(921\) | 28.5662 | 0.941288 | ||||||||
\(922\) | 17.7433i | 0.584346i | ||||||||
\(923\) | −30.0411 | −0.988816 | ||||||||
\(924\) | 5.11397 | 0.168237 | ||||||||
\(925\) | 12.9759 | + | 27.5068i | 0.426646 | + | 0.904419i | ||||
\(926\) | 11.6293 | 0.382161 | ||||||||
\(927\) | 3.38659 | 0.111230 | ||||||||
\(928\) | − | 2.69676i | − | 0.0885253i | ||||||
\(929\) | 47.1557 | 1.54713 | 0.773564 | − | 0.633719i | \(-0.218472\pi\) | ||||
0.773564 | + | 0.633719i | \(0.218472\pi\) | |||||||
\(930\) | −23.6314 | + | 3.07592i | −0.774903 | + | 0.100863i | ||||
\(931\) | − | 12.1606i | − | 0.398546i | ||||||
\(932\) | − | 15.2152i | − | 0.498391i | ||||||
\(933\) | 52.9539 | 1.73363 | ||||||||
\(934\) | 6.25208 | 0.204574 | ||||||||
\(935\) | −4.23339 | + | 0.551029i | −0.138447 | + | 0.0180206i | ||||
\(936\) | 0.425583 | 0.0139106 | ||||||||
\(937\) | 22.2885i | 0.728133i | 0.931373 | + | 0.364066i | \(0.118612\pi\) | ||||
−0.931373 | + | 0.364066i | \(0.881388\pi\) | |||||||
\(938\) | −24.0903 | −0.786578 | ||||||||
\(939\) | 17.8647i | 0.582992i | ||||||||
\(940\) | 2.56707 | + | 19.7220i | 0.0837286 | + | 0.643261i | ||||
\(941\) | 43.0380 | 1.40300 | 0.701499 | − | 0.712670i | \(-0.252514\pi\) | ||||
0.701499 | + | 0.712670i | \(0.252514\pi\) | |||||||
\(942\) | −13.0104 | −0.423902 | ||||||||
\(943\) | 17.8109 | 0.580001 | ||||||||
\(944\) | 5.55880i | 0.180923i | ||||||||
\(945\) | 35.0373 | − | 4.56055i | 1.13976 | − | 0.148355i | ||||
\(946\) | −5.20525 | −0.169237 | ||||||||
\(947\) | −16.4353 | −0.534075 | −0.267038 | − | 0.963686i | \(-0.586045\pi\) | ||||
−0.267038 | + | 0.963686i | \(0.586045\pi\) | |||||||
\(948\) | −5.99850 | −0.194822 | ||||||||
\(949\) | 4.77545i | 0.155018i | ||||||||
\(950\) | 5.33344 | + | 20.1405i | 0.173040 | + | 0.653444i | ||||
\(951\) | 37.7654 | 1.22463 | ||||||||
\(952\) | − | 6.61496i | − | 0.214392i | ||||||
\(953\) | − | 48.5182i | − | 1.57166i | −0.618443 | − | 0.785830i | \(-0.712236\pi\) | ||
0.618443 | − | 0.785830i | \(-0.287764\pi\) | |||||||
\(954\) | 1.79523i | 0.0581227i | ||||||||
\(955\) | 2.21082 | + | 16.9851i | 0.0715405 | + | 0.549623i | ||||
\(956\) | − | 29.1359i | − | 0.942323i | ||||||
\(957\) | −4.37905 | −0.141555 | ||||||||
\(958\) | − | 16.4452i | − | 0.531319i | ||||||
\(959\) | −56.4851 | −1.82400 | ||||||||
\(960\) | −0.515607 | − | 3.96125i | −0.0166412 | − | 0.127849i | ||||
\(961\) | −4.58873 | −0.148024 | ||||||||
\(962\) | −2.44591 | − | 13.2970i | −0.0788593 | − | 0.428712i | ||||
\(963\) | 1.29268i | 0.0416560i | ||||||||
\(964\) | 7.08791i | 0.228286i | ||||||||
\(965\) | −42.8280 | + | 5.57461i | −1.37868 | + | 0.179453i | ||||
\(966\) | −43.1349 | −1.38784 | ||||||||
\(967\) | −21.0002 | −0.675322 | −0.337661 | − | 0.941268i | \(-0.609636\pi\) | ||||
−0.337661 | + | 0.941268i | \(0.609636\pi\) | |||||||
\(968\) | −10.1738 | −0.326998 | ||||||||
\(969\) | 15.6358 | 0.502295 | ||||||||
\(970\) | −11.4035 | + | 1.48431i | −0.366145 | + | 0.0476584i | ||||
\(971\) | 11.8732 | 0.381028 | 0.190514 | − | 0.981684i | \(-0.438984\pi\) | ||||
0.190514 | + | 0.981684i | \(0.438984\pi\) | |||||||
\(972\) | − | 1.98686i | − | 0.0637286i | ||||||
\(973\) | 40.1452i | 1.28700i | ||||||||
\(974\) | 13.7966 | 0.442072 | ||||||||
\(975\) | −5.08235 | − | 19.1923i | −0.162765 | − | 0.614645i | ||||
\(976\) | − | 3.16611i | − | 0.101345i | ||||||
\(977\) | −31.2226 | −0.998900 | −0.499450 | − | 0.866343i | \(-0.666465\pi\) | ||||
−0.499450 | + | 0.866343i | \(0.666465\pi\) | |||||||
\(978\) | − | 39.7166i | − | 1.27000i | ||||||
\(979\) | − | 7.59735i | − | 0.242812i | ||||||
\(980\) | 6.47102 | − | 0.842286i | 0.206709 | − | 0.0269058i | ||||
\(981\) | − | 2.01628i | − | 0.0643748i | ||||||
\(982\) | −39.0410 | −1.24585 | ||||||||
\(983\) | 57.5637i | 1.83600i | 0.396583 | + | 0.917999i | \(0.370196\pi\) | ||||
−0.396583 | + | 0.917999i | \(0.629804\pi\) | |||||||
\(984\) | 4.15017i | 0.132303i | ||||||||
\(985\) | −3.78646 | − | 29.0902i | −0.120647 | − | 0.926890i | ||||
\(986\) | 5.66434i | 0.180389i | ||||||||
\(987\) | 50.0414i | 1.59283i | ||||||||
\(988\) | − | 9.26180i | − | 0.294657i | ||||||
\(989\) | 43.9049 | 1.39609 | ||||||||
\(990\) | −0.385910 | + | 0.0502311i | −0.0122650 | + | 0.00159645i | ||||
\(991\) | − | 14.9985i | − | 0.476442i | −0.971211 | − | 0.238221i | \(-0.923436\pi\) | ||
0.971211 | − | 0.238221i | \(-0.0765642\pi\) | |||||||
\(992\) | − | 5.96563i | − | 0.189409i | ||||||
\(993\) | −33.4649 | −1.06198 | ||||||||
\(994\) | 42.5655i | 1.35010i | ||||||||
\(995\) | 1.74484 | + | 13.4050i | 0.0553150 | + | 0.424968i | ||||
\(996\) | 29.0795 | 0.921418 | ||||||||
\(997\) | −1.43497 | −0.0454459 | −0.0227229 | − | 0.999742i | \(-0.507234\pi\) | ||||
−0.0227229 | + | 0.999742i | \(0.507234\pi\) | |||||||
\(998\) | 40.0886i | 1.26898i | ||||||||
\(999\) | −30.0158 | + | 5.52123i | −0.949657 | + | 0.174684i |
(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 | 370.2.c.b.369.9 | yes | 10 | |
3.2 | odd | 2 | 3330.2.e.c.739.9 | 10 | |||
5.2 | odd | 4 | 1850.2.d.i.1701.19 | 20 | |||
5.3 | odd | 4 | 1850.2.d.i.1701.2 | 20 | |||
5.4 | even | 2 | 370.2.c.a.369.2 | ✓ | 10 | ||
15.14 | odd | 2 | 3330.2.e.d.739.1 | 10 | |||
37.36 | even | 2 | 370.2.c.a.369.9 | yes | 10 | ||
111.110 | odd | 2 | 3330.2.e.d.739.2 | 10 | |||
185.73 | odd | 4 | 1850.2.d.i.1701.12 | 20 | |||
185.147 | odd | 4 | 1850.2.d.i.1701.9 | 20 | |||
185.184 | even | 2 | inner | 370.2.c.b.369.2 | yes | 10 | |
555.554 | odd | 2 | 3330.2.e.c.739.10 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.c.a.369.2 | ✓ | 10 | 5.4 | even | 2 | ||
370.2.c.a.369.9 | yes | 10 | 37.36 | even | 2 | ||
370.2.c.b.369.2 | yes | 10 | 185.184 | even | 2 | inner | |
370.2.c.b.369.9 | yes | 10 | 1.1 | even | 1 | trivial | |
1850.2.d.i.1701.2 | 20 | 5.3 | odd | 4 | |||
1850.2.d.i.1701.9 | 20 | 185.147 | odd | 4 | |||
1850.2.d.i.1701.12 | 20 | 185.73 | odd | 4 | |||
1850.2.d.i.1701.19 | 20 | 5.2 | odd | 4 | |||
3330.2.e.c.739.9 | 10 | 3.2 | odd | 2 | |||
3330.2.e.c.739.10 | 10 | 555.554 | odd | 2 | |||
3330.2.e.d.739.1 | 10 | 15.14 | odd | 2 | |||
3330.2.e.d.739.2 | 10 | 111.110 | odd | 2 |