Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(13,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 5, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.u (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 13.5 | ||
Character | \(\chi\) | \(=\) | 462.13 |
Dual form | 462.2.u.a.391.5 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.951057 | + | 0.309017i | 0.672499 | + | 0.218508i | ||||
\(3\) | −0.587785 | − | 0.809017i | −0.339358 | − | 0.467086i | ||||
\(4\) | 0.809017 | + | 0.587785i | 0.404508 | + | 0.293893i | ||||
\(5\) | −3.18685 | + | 1.03547i | −1.42520 | + | 0.463076i | −0.917251 | − | 0.398310i | \(-0.869597\pi\) |
−0.507950 | + | 0.861386i | \(0.669597\pi\) | |||||||
\(6\) | −0.309017 | − | 0.951057i | −0.126156 | − | 0.388267i | ||||
\(7\) | 2.59478 | + | 0.516820i | 0.980736 | + | 0.195340i | ||||
\(8\) | 0.587785 | + | 0.809017i | 0.207813 | + | 0.286031i | ||||
\(9\) | −0.309017 | + | 0.951057i | −0.103006 | + | 0.317019i | ||||
\(10\) | −3.35085 | −1.05963 | ||||||||
\(11\) | 0.695687 | + | 3.24284i | 0.209758 | + | 0.977753i | ||||
\(12\) | − | 1.00000i | − | 0.288675i | ||||||
\(13\) | −1.25628 | + | 3.86645i | −0.348431 | + | 1.07236i | 0.611291 | + | 0.791406i | \(0.290651\pi\) |
−0.959721 | + | 0.280953i | \(0.909349\pi\) | |||||||
\(14\) | 2.30808 | + | 1.29336i | 0.616860 | + | 0.345664i | ||||
\(15\) | 2.71089 | + | 1.96958i | 0.699950 | + | 0.508543i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | 1.34308 | + | 4.13359i | 0.325746 | + | 1.00254i | 0.971103 | + | 0.238661i | \(0.0767085\pi\) |
−0.645357 | + | 0.763881i | \(0.723291\pi\) | |||||||
\(18\) | −0.587785 | + | 0.809017i | −0.138542 | + | 0.190687i | ||||
\(19\) | 6.45286 | − | 4.68828i | 1.48039 | − | 1.07556i | 0.502956 | − | 0.864312i | \(-0.332246\pi\) |
0.977432 | − | 0.211253i | \(-0.0677542\pi\) | |||||||
\(20\) | −3.18685 | − | 1.03547i | −0.712600 | − | 0.231538i | ||||
\(21\) | −1.10706 | − | 2.40300i | −0.241580 | − | 0.524378i | ||||
\(22\) | −0.340455 | + | 3.29910i | −0.0725852 | + | 0.703371i | ||||
\(23\) | 1.33151 | 0.277638 | 0.138819 | − | 0.990318i | \(-0.455669\pi\) | ||||
0.138819 | + | 0.990318i | \(0.455669\pi\) | |||||||
\(24\) | 0.309017 | − | 0.951057i | 0.0630778 | − | 0.194134i | ||||
\(25\) | 5.03871 | − | 3.66084i | 1.00774 | − | 0.732167i | ||||
\(26\) | −2.38960 | + | 3.28900i | −0.468638 | + | 0.645025i | ||||
\(27\) | 0.951057 | − | 0.309017i | 0.183031 | − | 0.0594703i | ||||
\(28\) | 1.79544 | + | 1.94329i | 0.339307 | + | 0.367248i | ||||
\(29\) | −5.08234 | + | 6.99524i | −0.943766 | + | 1.29898i | 0.0104750 | + | 0.999945i | \(0.496666\pi\) |
−0.954241 | + | 0.299038i | \(0.903334\pi\) | |||||||
\(30\) | 1.96958 | + | 2.71089i | 0.359594 | + | 0.494939i | ||||
\(31\) | −4.15890 | − | 1.35131i | −0.746961 | − | 0.242702i | −0.0892877 | − | 0.996006i | \(-0.528459\pi\) |
−0.657673 | + | 0.753304i | \(0.728459\pi\) | |||||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | 2.21460 | − | 2.46892i | 0.385512 | − | 0.429783i | ||||
\(34\) | 4.34631i | 0.745386i | ||||||||
\(35\) | −8.80432 | + | 1.03979i | −1.48820 | + | 0.175757i | ||||
\(36\) | −0.809017 | + | 0.587785i | −0.134836 | + | 0.0979642i | ||||
\(37\) | −4.73950 | − | 3.44345i | −0.779169 | − | 0.566099i | 0.125561 | − | 0.992086i | \(-0.459927\pi\) |
−0.904729 | + | 0.425987i | \(0.859927\pi\) | |||||||
\(38\) | 7.58579 | − | 2.46477i | 1.23058 | − | 0.399839i | ||||
\(39\) | 3.86645 | − | 1.25628i | 0.619127 | − | 0.201167i | ||||
\(40\) | −2.71089 | − | 1.96958i | −0.428630 | − | 0.311418i | ||||
\(41\) | 3.41909 | − | 2.48412i | 0.533972 | − | 0.387954i | −0.287869 | − | 0.957670i | \(-0.592947\pi\) |
0.821842 | + | 0.569716i | \(0.192947\pi\) | |||||||
\(42\) | −0.310307 | − | 2.62749i | −0.0478814 | − | 0.405431i | ||||
\(43\) | 7.53044i | 1.14838i | 0.818721 | + | 0.574191i | \(0.194683\pi\) | ||||
−0.818721 | + | 0.574191i | \(0.805317\pi\) | |||||||
\(44\) | −1.34327 | + | 3.03243i | −0.202506 | + | 0.457156i | ||||
\(45\) | − | 3.35085i | − | 0.499515i | ||||||
\(46\) | 1.26634 | + | 0.411458i | 0.186711 | + | 0.0606661i | ||||
\(47\) | −1.67901 | − | 2.31096i | −0.244909 | − | 0.337088i | 0.668811 | − | 0.743432i | \(-0.266803\pi\) |
−0.913720 | + | 0.406344i | \(0.866803\pi\) | |||||||
\(48\) | 0.587785 | − | 0.809017i | 0.0848395 | − | 0.116772i | ||||
\(49\) | 6.46579 | + | 2.68207i | 0.923685 | + | 0.383153i | ||||
\(50\) | 5.92336 | − | 1.92462i | 0.837689 | − | 0.272182i | ||||
\(51\) | 2.55470 | − | 3.51624i | 0.357729 | − | 0.492372i | ||||
\(52\) | −3.28900 | + | 2.38960i | −0.456102 | + | 0.331377i | ||||
\(53\) | 4.02534 | − | 12.3887i | 0.552923 | − | 1.70172i | −0.148444 | − | 0.988921i | \(-0.547427\pi\) |
0.701367 | − | 0.712800i | \(-0.252573\pi\) | |||||||
\(54\) | 1.00000 | 0.136083 | ||||||||
\(55\) | −5.57491 | − | 9.61407i | −0.751721 | − | 1.29636i | ||||
\(56\) | 1.10706 | + | 2.40300i | 0.147937 | + | 0.321115i | ||||
\(57\) | −7.58579 | − | 2.46477i | −1.00476 | − | 0.326467i | ||||
\(58\) | −6.99524 | + | 5.08234i | −0.918520 | + | 0.667344i | ||||
\(59\) | −1.54007 | + | 2.11973i | −0.200500 | + | 0.275965i | −0.897413 | − | 0.441191i | \(-0.854556\pi\) |
0.696913 | + | 0.717156i | \(0.254556\pi\) | |||||||
\(60\) | 1.03547 | + | 3.18685i | 0.133678 | + | 0.411420i | ||||
\(61\) | −2.11173 | − | 6.49924i | −0.270380 | − | 0.832143i | −0.990405 | − | 0.138195i | \(-0.955870\pi\) |
0.720025 | − | 0.693948i | \(-0.244130\pi\) | |||||||
\(62\) | −3.53777 | − | 2.57034i | −0.449298 | − | 0.326434i | ||||
\(63\) | −1.29336 | + | 2.30808i | −0.162948 | + | 0.290791i | ||||
\(64\) | −0.309017 | + | 0.951057i | −0.0386271 | + | 0.118882i | ||||
\(65\) | − | 13.6226i | − | 1.68968i | ||||||
\(66\) | 2.86915 | − | 1.66373i | 0.353167 | − | 0.204791i | ||||
\(67\) | −1.42737 | −0.174381 | −0.0871907 | − | 0.996192i | \(-0.527789\pi\) | ||||
−0.0871907 | + | 0.996192i | \(0.527789\pi\) | |||||||
\(68\) | −1.34308 | + | 4.13359i | −0.162873 | + | 0.501271i | ||||
\(69\) | −0.782639 | − | 1.07721i | −0.0942187 | − | 0.129681i | ||||
\(70\) | −8.69472 | − | 1.73179i | −1.03922 | − | 0.206988i | ||||
\(71\) | −3.40310 | − | 10.4737i | −0.403874 | − | 1.24300i | −0.921832 | − | 0.387590i | \(-0.873308\pi\) |
0.517958 | − | 0.855406i | \(-0.326692\pi\) | |||||||
\(72\) | −0.951057 | + | 0.309017i | −0.112083 | + | 0.0364180i | ||||
\(73\) | 6.22243 | + | 4.52086i | 0.728280 | + | 0.529127i | 0.889019 | − | 0.457870i | \(-0.151388\pi\) |
−0.160739 | + | 0.986997i | \(0.551388\pi\) | |||||||
\(74\) | −3.44345 | − | 4.73950i | −0.400293 | − | 0.550956i | ||||
\(75\) | −5.92336 | − | 1.92462i | −0.683970 | − | 0.222235i | ||||
\(76\) | 7.97617 | 0.914930 | ||||||||
\(77\) | 0.129193 | + | 8.77401i | 0.0147229 | + | 0.999892i | ||||
\(78\) | 4.06542 | 0.460319 | ||||||||
\(79\) | 8.00297 | + | 2.60032i | 0.900404 | + | 0.292559i | 0.722404 | − | 0.691471i | \(-0.243037\pi\) |
0.178000 | + | 0.984030i | \(0.443037\pi\) | |||||||
\(80\) | −1.96958 | − | 2.71089i | −0.220206 | − | 0.303087i | ||||
\(81\) | −0.809017 | − | 0.587785i | −0.0898908 | − | 0.0653095i | ||||
\(82\) | 4.01938 | − | 1.30598i | 0.443867 | − | 0.144221i | ||||
\(83\) | 5.05077 | + | 15.5447i | 0.554394 | + | 1.70625i | 0.697537 | + | 0.716549i | \(0.254279\pi\) |
−0.143143 | + | 0.989702i | \(0.545721\pi\) | |||||||
\(84\) | 0.516820 | − | 2.59478i | 0.0563897 | − | 0.283114i | ||||
\(85\) | −8.56040 | − | 11.7824i | −0.928506 | − | 1.27798i | ||||
\(86\) | −2.32703 | + | 7.16188i | −0.250931 | + | 0.772285i | ||||
\(87\) | 8.64659 | 0.927012 | ||||||||
\(88\) | −2.21460 | + | 2.46892i | −0.236077 | + | 0.263187i | ||||
\(89\) | − | 8.96914i | − | 0.950727i | −0.879789 | − | 0.475364i | \(-0.842317\pi\) | ||
0.879789 | − | 0.475364i | \(-0.157683\pi\) | |||||||
\(90\) | 1.03547 | − | 3.18685i | 0.109148 | − | 0.335923i | ||||
\(91\) | −5.25804 | + | 9.38332i | −0.551193 | + | 0.983639i | ||||
\(92\) | 1.07721 | + | 0.782639i | 0.112307 | + | 0.0815958i | ||||
\(93\) | 1.35131 | + | 4.15890i | 0.140124 | + | 0.431258i | ||||
\(94\) | −0.882707 | − | 2.71669i | −0.0910443 | − | 0.280206i | ||||
\(95\) | −15.7097 | + | 21.6226i | −1.61178 | + | 2.21843i | ||||
\(96\) | 0.809017 | − | 0.587785i | 0.0825700 | − | 0.0599906i | ||||
\(97\) | −3.40913 | − | 1.10769i | −0.346145 | − | 0.112469i | 0.130785 | − | 0.991411i | \(-0.458250\pi\) |
−0.476930 | + | 0.878941i | \(0.658250\pi\) | |||||||
\(98\) | 5.32053 | + | 4.54884i | 0.537455 | + | 0.459502i | ||||
\(99\) | −3.29910 | − | 0.340455i | −0.331572 | − | 0.0342170i | ||||
\(100\) | 6.22819 | 0.622819 | ||||||||
\(101\) | −2.93130 | + | 9.02160i | −0.291675 | + | 0.897683i | 0.692643 | + | 0.721280i | \(0.256446\pi\) |
−0.984318 | + | 0.176402i | \(0.943554\pi\) | |||||||
\(102\) | 3.51624 | − | 2.55470i | 0.348160 | − | 0.252953i | ||||
\(103\) | 7.73913 | − | 10.6520i | 0.762559 | − | 1.04957i | −0.234438 | − | 0.972131i | \(-0.575325\pi\) |
0.996997 | − | 0.0774410i | \(-0.0246749\pi\) | |||||||
\(104\) | −3.86645 | + | 1.25628i | −0.379136 | + | 0.123189i | ||||
\(105\) | 6.01626 | + | 6.51167i | 0.587127 | + | 0.635474i | ||||
\(106\) | 7.65665 | − | 10.5385i | 0.743679 | − | 1.02359i | ||||
\(107\) | −9.11004 | − | 12.5389i | −0.880701 | − | 1.21218i | −0.976226 | − | 0.216754i | \(-0.930453\pi\) |
0.0955251 | − | 0.995427i | \(-0.469547\pi\) | |||||||
\(108\) | 0.951057 | + | 0.309017i | 0.0915155 | + | 0.0297352i | ||||
\(109\) | − | 9.74058i | − | 0.932979i | −0.884527 | − | 0.466489i | \(-0.845519\pi\) | ||
0.884527 | − | 0.466489i | \(-0.154481\pi\) | |||||||
\(110\) | −2.33114 | − | 10.8663i | −0.222266 | − | 1.03606i | ||||
\(111\) | 5.85834i | 0.556049i | ||||||||
\(112\) | 0.310307 | + | 2.62749i | 0.0293212 | + | 0.248275i | ||||
\(113\) | 9.62643 | − | 6.99401i | 0.905578 | − | 0.657941i | −0.0343143 | − | 0.999411i | \(-0.510925\pi\) |
0.939893 | + | 0.341470i | \(0.110925\pi\) | |||||||
\(114\) | −6.45286 | − | 4.68828i | −0.604366 | − | 0.439097i | ||||
\(115\) | −4.24330 | + | 1.37873i | −0.395690 | + | 0.128567i | ||||
\(116\) | −8.22339 | + | 2.67194i | −0.763523 | + | 0.248084i | ||||
\(117\) | −3.28900 | − | 2.38960i | −0.304068 | − | 0.220918i | ||||
\(118\) | −2.11973 | + | 1.54007i | −0.195137 | + | 0.141775i | ||||
\(119\) | 1.34869 | + | 11.4199i | 0.123634 | + | 1.04686i | ||||
\(120\) | 3.35085i | 0.305889i | ||||||||
\(121\) | −10.0320 | + | 4.51201i | −0.912003 | + | 0.410183i | ||||
\(122\) | − | 6.83371i | − | 0.618695i | ||||||
\(123\) | −4.01938 | − | 1.30598i | −0.362416 | − | 0.117756i | ||||
\(124\) | −2.57034 | − | 3.53777i | −0.230824 | − | 0.317701i | ||||
\(125\) | −2.41901 | + | 3.32948i | −0.216363 | + | 0.297798i | ||||
\(126\) | −1.94329 | + | 1.79544i | −0.173122 | + | 0.159951i | ||||
\(127\) | 10.0435 | − | 3.26334i | 0.891218 | − | 0.289574i | 0.172611 | − | 0.984990i | \(-0.444780\pi\) |
0.718608 | + | 0.695416i | \(0.244780\pi\) | |||||||
\(128\) | −0.587785 | + | 0.809017i | −0.0519534 | + | 0.0715077i | ||||
\(129\) | 6.09226 | − | 4.42628i | 0.536393 | − | 0.389712i | ||||
\(130\) | 4.20962 | − | 12.9559i | 0.369208 | − | 1.13631i | ||||
\(131\) | −1.47125 | −0.128544 | −0.0642720 | − | 0.997932i | \(-0.520473\pi\) | ||||
−0.0642720 | + | 0.997932i | \(0.520473\pi\) | |||||||
\(132\) | 3.24284 | − | 0.695687i | 0.282253 | − | 0.0605518i | ||||
\(133\) | 19.1668 | − | 8.83009i | 1.66197 | − | 0.765666i | ||||
\(134\) | −1.35751 | − | 0.441082i | −0.117271 | − | 0.0381037i | ||||
\(135\) | −2.71089 | + | 1.96958i | −0.233317 | + | 0.169514i | ||||
\(136\) | −2.55470 | + | 3.51624i | −0.219063 | + | 0.301515i | ||||
\(137\) | 2.83922 | + | 8.73822i | 0.242571 | + | 0.746557i | 0.996026 | + | 0.0890578i | \(0.0283856\pi\) |
−0.753455 | + | 0.657499i | \(0.771614\pi\) | |||||||
\(138\) | −0.411458 | − | 1.26634i | −0.0350256 | − | 0.107798i | ||||
\(139\) | 0.651883 | + | 0.473621i | 0.0552920 | + | 0.0401720i | 0.615088 | − | 0.788459i | \(-0.289120\pi\) |
−0.559796 | + | 0.828630i | \(0.689120\pi\) | |||||||
\(140\) | −7.73402 | − | 4.33384i | −0.653644 | − | 0.366277i | ||||
\(141\) | −0.882707 | + | 2.71669i | −0.0743374 | + | 0.228787i | ||||
\(142\) | − | 11.0127i | − | 0.924163i | ||||||
\(143\) | −13.4123 | − | 1.38409i | −1.12159 | − | 0.115744i | ||||
\(144\) | −1.00000 | −0.0833333 | ||||||||
\(145\) | 8.95328 | − | 27.5553i | 0.743529 | − | 2.28835i | ||||
\(146\) | 4.52086 | + | 6.22243i | 0.374149 | + | 0.514972i | ||||
\(147\) | −1.63066 | − | 6.80742i | −0.134494 | − | 0.561466i | ||||
\(148\) | −1.81033 | − | 5.57162i | −0.148808 | − | 0.457984i | ||||
\(149\) | 10.5048 | − | 3.41323i | 0.860590 | − | 0.279623i | 0.154715 | − | 0.987959i | \(-0.450554\pi\) |
0.705875 | + | 0.708336i | \(0.250554\pi\) | |||||||
\(150\) | −5.03871 | − | 3.66084i | −0.411409 | − | 0.298906i | ||||
\(151\) | 7.41822 | + | 10.2103i | 0.603686 | + | 0.830902i | 0.996039 | − | 0.0889122i | \(-0.0283390\pi\) |
−0.392354 | + | 0.919814i | \(0.628339\pi\) | |||||||
\(152\) | 7.58579 | + | 2.46477i | 0.615289 | + | 0.199919i | ||||
\(153\) | −4.34631 | −0.351378 | ||||||||
\(154\) | −2.58845 | + | 8.38451i | −0.208583 | + | 0.675643i | ||||
\(155\) | 14.6530 | 1.17696 | ||||||||
\(156\) | 3.86645 | + | 1.25628i | 0.309564 | + | 0.100583i | ||||
\(157\) | 0.0381184 | + | 0.0524654i | 0.00304218 | + | 0.00418720i | 0.810535 | − | 0.585690i | \(-0.199176\pi\) |
−0.807493 | + | 0.589877i | \(0.799176\pi\) | |||||||
\(158\) | 6.80773 | + | 4.94611i | 0.541594 | + | 0.393491i | ||||
\(159\) | −12.3887 | + | 4.02534i | −0.982489 | + | 0.319230i | ||||
\(160\) | −1.03547 | − | 3.18685i | −0.0818610 | − | 0.251942i | ||||
\(161\) | 3.45497 | + | 0.688149i | 0.272290 | + | 0.0542337i | ||||
\(162\) | −0.587785 | − | 0.809017i | −0.0461808 | − | 0.0635624i | ||||
\(163\) | −4.04450 | + | 12.4477i | −0.316790 | + | 0.974978i | 0.658222 | + | 0.752824i | \(0.271309\pi\) |
−0.975012 | + | 0.222154i | \(0.928691\pi\) | |||||||
\(164\) | 4.22623 | 0.330013 | ||||||||
\(165\) | −4.50110 | + | 10.1612i | −0.350410 | + | 0.791049i | ||||
\(166\) | 16.3446i | 1.26859i | ||||||||
\(167\) | 0.490022 | − | 1.50813i | 0.0379190 | − | 0.116703i | −0.930305 | − | 0.366786i | \(-0.880458\pi\) |
0.968224 | + | 0.250083i | \(0.0804580\pi\) | |||||||
\(168\) | 1.29336 | − | 2.30808i | 0.0997847 | − | 0.178072i | ||||
\(169\) | −2.85394 | − | 2.07351i | −0.219534 | − | 0.159501i | ||||
\(170\) | −4.50047 | − | 13.8510i | −0.345170 | − | 1.06233i | ||||
\(171\) | 2.46477 | + | 7.58579i | 0.188486 | + | 0.580100i | ||||
\(172\) | −4.42628 | + | 6.09226i | −0.337501 | + | 0.464530i | ||||
\(173\) | 6.33012 | − | 4.59910i | 0.481270 | − | 0.349663i | −0.320547 | − | 0.947233i | \(-0.603867\pi\) |
0.801817 | + | 0.597569i | \(0.203867\pi\) | |||||||
\(174\) | 8.22339 | + | 2.67194i | 0.623414 | + | 0.202559i | ||||
\(175\) | 14.9663 | − | 6.89497i | 1.13135 | − | 0.521211i | ||||
\(176\) | −2.86915 | + | 1.66373i | −0.216270 | + | 0.125408i | ||||
\(177\) | 2.62013 | 0.196941 | ||||||||
\(178\) | 2.77162 | − | 8.53016i | 0.207741 | − | 0.639363i | ||||
\(179\) | −8.31217 | + | 6.03915i | −0.621281 | + | 0.451387i | −0.853369 | − | 0.521308i | \(-0.825444\pi\) |
0.232088 | + | 0.972695i | \(0.425444\pi\) | |||||||
\(180\) | 1.96958 | − | 2.71089i | 0.146804 | − | 0.202058i | ||||
\(181\) | −3.21311 | + | 1.04400i | −0.238829 | + | 0.0776002i | −0.425986 | − | 0.904730i | \(-0.640073\pi\) |
0.187157 | + | 0.982330i | \(0.440073\pi\) | |||||||
\(182\) | −7.90030 | + | 7.29924i | −0.585609 | + | 0.541056i | ||||
\(183\) | −4.01675 | + | 5.52859i | −0.296927 | + | 0.408685i | ||||
\(184\) | 0.782639 | + | 1.07721i | 0.0576969 | + | 0.0794130i | ||||
\(185\) | 18.6696 | + | 6.06613i | 1.37262 | + | 0.445991i | ||||
\(186\) | 4.37293i | 0.320639i | ||||||||
\(187\) | −12.4702 | + | 7.23109i | −0.911911 | + | 0.528790i | ||||
\(188\) | − | 2.85650i | − | 0.208332i | ||||||
\(189\) | 2.62749 | − | 0.310307i | 0.191122 | − | 0.0225715i | ||||
\(190\) | −21.6226 | + | 15.7097i | −1.56867 | + | 1.13970i | ||||
\(191\) | 3.94217 | + | 2.86415i | 0.285245 | + | 0.207243i | 0.721202 | − | 0.692725i | \(-0.243590\pi\) |
−0.435957 | + | 0.899968i | \(0.643590\pi\) | |||||||
\(192\) | 0.951057 | − | 0.309017i | 0.0686366 | − | 0.0223014i | ||||
\(193\) | 23.3253 | − | 7.57885i | 1.67899 | − | 0.545537i | 0.694276 | − | 0.719709i | \(-0.255725\pi\) |
0.984715 | + | 0.174172i | \(0.0557248\pi\) | |||||||
\(194\) | −2.89998 | − | 2.10696i | −0.208207 | − | 0.151271i | ||||
\(195\) | −11.0209 | + | 8.00717i | −0.789225 | + | 0.573406i | ||||
\(196\) | 3.65446 | + | 5.97034i | 0.261033 | + | 0.426453i | ||||
\(197\) | 3.63422i | 0.258928i | 0.991584 | + | 0.129464i | \(0.0413256\pi\) | ||||
−0.991584 | + | 0.129464i | \(0.958674\pi\) | |||||||
\(198\) | −3.03243 | − | 1.34327i | −0.215505 | − | 0.0954621i | ||||
\(199\) | 9.89059i | 0.701125i | 0.936539 | + | 0.350563i | \(0.114010\pi\) | ||||
−0.936539 | + | 0.350563i | \(0.885990\pi\) | |||||||
\(200\) | 5.92336 | + | 1.92462i | 0.418845 | + | 0.136091i | ||||
\(201\) | 0.838989 | + | 1.15477i | 0.0591777 | + | 0.0814511i | ||||
\(202\) | −5.57565 | + | 7.67423i | −0.392302 | + | 0.539957i | ||||
\(203\) | −16.8028 | + | 15.5245i | −1.17933 | + | 1.08960i | ||||
\(204\) | 4.13359 | − | 1.34308i | 0.289409 | − | 0.0940347i | ||||
\(205\) | −8.32390 | + | 11.4569i | −0.581366 | + | 0.800182i | ||||
\(206\) | 10.6520 | − | 7.73913i | 0.742159 | − | 0.539210i | ||||
\(207\) | −0.411458 | + | 1.26634i | −0.0285983 | + | 0.0880165i | ||||
\(208\) | −4.06542 | −0.281886 | ||||||||
\(209\) | 19.6925 | + | 17.6640i | 1.36216 | + | 1.22185i | ||||
\(210\) | 3.70959 | + | 8.05210i | 0.255986 | + | 0.555647i | ||||
\(211\) | 6.08793 | + | 1.97809i | 0.419111 | + | 0.136177i | 0.510978 | − | 0.859594i | \(-0.329283\pi\) |
−0.0918671 | + | 0.995771i | \(0.529283\pi\) | |||||||
\(212\) | 10.5385 | − | 7.65665i | 0.723785 | − | 0.525861i | ||||
\(213\) | −6.47308 | + | 8.90944i | −0.443528 | + | 0.610465i | ||||
\(214\) | −4.78943 | − | 14.7404i | −0.327399 | − | 1.00763i | ||||
\(215\) | −7.79754 | − | 23.9984i | −0.531788 | − | 1.63667i | ||||
\(216\) | 0.809017 | + | 0.587785i | 0.0550466 | + | 0.0399937i | ||||
\(217\) | −10.0931 | − | 5.65576i | −0.685162 | − | 0.383938i | ||||
\(218\) | 3.01001 | − | 9.26385i | 0.203863 | − | 0.627427i | ||||
\(219\) | − | 7.69135i | − | 0.519733i | ||||||
\(220\) | 1.14081 | − | 11.0548i | 0.0769136 | − | 0.745314i | ||||
\(221\) | −17.6696 | −1.18859 | ||||||||
\(222\) | −1.81033 | + | 5.57162i | −0.121501 | + | 0.373942i | ||||
\(223\) | 4.91386 | + | 6.76334i | 0.329056 | + | 0.452907i | 0.941205 | − | 0.337835i | \(-0.109695\pi\) |
−0.612149 | + | 0.790742i | \(0.709695\pi\) | |||||||
\(224\) | −0.516820 | + | 2.59478i | −0.0345315 | + | 0.173371i | ||||
\(225\) | 1.92462 | + | 5.92336i | 0.128308 | + | 0.394890i | ||||
\(226\) | 11.3165 | − | 3.67697i | 0.752766 | − | 0.244588i | ||||
\(227\) | −12.3732 | − | 8.98966i | −0.821239 | − | 0.596665i | 0.0958282 | − | 0.995398i | \(-0.469450\pi\) |
−0.917067 | + | 0.398733i | \(0.869450\pi\) | |||||||
\(228\) | −4.68828 | − | 6.45286i | −0.310489 | − | 0.427351i | ||||
\(229\) | −0.824290 | − | 0.267828i | −0.0544706 | − | 0.0176986i | 0.281655 | − | 0.959516i | \(-0.409117\pi\) |
−0.336126 | + | 0.941817i | \(0.609117\pi\) | |||||||
\(230\) | −4.46167 | −0.294194 | ||||||||
\(231\) | 7.02239 | − | 5.26175i | 0.462039 | − | 0.346198i | ||||
\(232\) | −8.64659 | −0.567676 | ||||||||
\(233\) | 14.5931 | + | 4.74160i | 0.956028 | + | 0.310632i | 0.745163 | − | 0.666883i | \(-0.232372\pi\) |
0.210865 | + | 0.977515i | \(0.432372\pi\) | |||||||
\(234\) | −2.38960 | − | 3.28900i | −0.156213 | − | 0.215008i | ||||
\(235\) | 7.74367 | + | 5.62610i | 0.505141 | + | 0.367007i | ||||
\(236\) | −2.49189 | + | 0.809664i | −0.162208 | + | 0.0527046i | ||||
\(237\) | −2.60032 | − | 8.00297i | −0.168909 | − | 0.519849i | ||||
\(238\) | −2.24626 | + | 11.2777i | −0.145603 | + | 0.731027i | ||||
\(239\) | −10.3144 | − | 14.1965i | −0.667182 | − | 0.918297i | 0.332510 | − | 0.943100i | \(-0.392104\pi\) |
−0.999692 | + | 0.0248024i | \(0.992104\pi\) | |||||||
\(240\) | −1.03547 | + | 3.18685i | −0.0668392 | + | 0.205710i | ||||
\(241\) | −20.8041 | −1.34011 | −0.670055 | − | 0.742312i | \(-0.733729\pi\) | ||||
−0.670055 | + | 0.742312i | \(0.733729\pi\) | |||||||
\(242\) | −10.9353 | + | 1.19110i | −0.702949 | + | 0.0765671i | ||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | 2.11173 | − | 6.49924i | 0.135190 | − | 0.416072i | ||||
\(245\) | −23.3827 | − | 1.85222i | −1.49387 | − | 0.118334i | ||||
\(246\) | −3.41909 | − | 2.48412i | −0.217993 | − | 0.158381i | ||||
\(247\) | 10.0203 | + | 30.8395i | 0.637579 | + | 1.96227i | ||||
\(248\) | −1.35131 | − | 4.15890i | −0.0858082 | − | 0.264090i | ||||
\(249\) | 9.60714 | − | 13.2231i | 0.608828 | − | 0.837980i | ||||
\(250\) | −3.32948 | + | 2.41901i | −0.210575 | + | 0.152992i | ||||
\(251\) | −5.86531 | − | 1.90575i | −0.370215 | − | 0.120290i | 0.118000 | − | 0.993014i | \(-0.462352\pi\) |
−0.488215 | + | 0.872724i | \(0.662352\pi\) | |||||||
\(252\) | −2.40300 | + | 1.10706i | −0.151375 | + | 0.0697382i | ||||
\(253\) | 0.926312 | + | 4.31786i | 0.0582367 | + | 0.271462i | ||||
\(254\) | 10.5604 | 0.662617 | ||||||||
\(255\) | −4.50047 | + | 13.8510i | −0.281830 | + | 0.867385i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | 7.70597 | − | 10.6064i | 0.480685 | − | 0.661606i | −0.497951 | − | 0.867205i | \(-0.665914\pi\) |
0.978636 | + | 0.205599i | \(0.0659142\pi\) | |||||||
\(258\) | 7.16188 | − | 2.32703i | 0.445879 | − | 0.144875i | ||||
\(259\) | −10.5183 | − | 11.3845i | −0.653577 | − | 0.707396i | ||||
\(260\) | 8.00717 | − | 11.0209i | 0.496584 | − | 0.683489i | ||||
\(261\) | −5.08234 | − | 6.99524i | −0.314589 | − | 0.432994i | ||||
\(262\) | −1.39924 | − | 0.454642i | −0.0864456 | − | 0.0280879i | ||||
\(263\) | − | 3.63307i | − | 0.224024i | −0.993707 | − | 0.112012i | \(-0.964270\pi\) | ||
0.993707 | − | 0.112012i | \(-0.0357296\pi\) | |||||||
\(264\) | 3.29910 | + | 0.340455i | 0.203046 | + | 0.0209536i | ||||
\(265\) | 43.6490i | 2.68134i | ||||||||
\(266\) | 20.9573 | − | 2.47506i | 1.28498 | − | 0.151756i | ||||
\(267\) | −7.25619 | + | 5.27193i | −0.444071 | + | 0.322637i | ||||
\(268\) | −1.15477 | − | 0.838989i | −0.0705387 | − | 0.0512494i | ||||
\(269\) | −3.02434 | + | 0.982667i | −0.184397 | + | 0.0599142i | −0.399760 | − | 0.916620i | \(-0.630907\pi\) |
0.215363 | + | 0.976534i | \(0.430907\pi\) | |||||||
\(270\) | −3.18685 | + | 1.03547i | −0.193945 | + | 0.0630166i | ||||
\(271\) | −24.4388 | − | 17.7558i | −1.48455 | − | 1.07859i | −0.976054 | − | 0.217526i | \(-0.930201\pi\) |
−0.508497 | − | 0.861064i | \(-0.669799\pi\) | |||||||
\(272\) | −3.51624 | + | 2.55470i | −0.213203 | + | 0.154901i | ||||
\(273\) | 10.6819 | − | 1.26153i | 0.646496 | − | 0.0763512i | ||||
\(274\) | 9.18791i | 0.555062i | ||||||||
\(275\) | 15.3769 | + | 13.7929i | 0.927260 | + | 0.831745i | ||||
\(276\) | − | 1.33151i | − | 0.0801472i | ||||||
\(277\) | −21.8573 | − | 7.10188i | −1.31328 | − | 0.426710i | −0.433098 | − | 0.901347i | \(-0.642579\pi\) |
−0.880182 | + | 0.474637i | \(0.842579\pi\) | |||||||
\(278\) | 0.473621 | + | 0.651883i | 0.0284059 | + | 0.0390973i | ||||
\(279\) | 2.57034 | − | 3.53777i | 0.153882 | − | 0.211801i | ||||
\(280\) | −6.01626 | − | 6.51167i | −0.359540 | − | 0.389147i | ||||
\(281\) | 16.2054 | − | 5.26544i | 0.966731 | − | 0.314110i | 0.217236 | − | 0.976119i | \(-0.430296\pi\) |
0.749496 | + | 0.662009i | \(0.230296\pi\) | |||||||
\(282\) | −1.67901 | + | 2.31096i | −0.0999835 | + | 0.137616i | ||||
\(283\) | 14.0633 | − | 10.2176i | 0.835974 | − | 0.607371i | −0.0852690 | − | 0.996358i | \(-0.527175\pi\) |
0.921243 | + | 0.388987i | \(0.127175\pi\) | |||||||
\(284\) | 3.40310 | − | 10.4737i | 0.201937 | − | 0.621498i | ||||
\(285\) | 26.7269 | 1.58317 | ||||||||
\(286\) | −12.3281 | − | 5.46097i | −0.728976 | − | 0.322914i | ||||
\(287\) | 10.1556 | − | 4.67869i | 0.599469 | − | 0.276174i | ||||
\(288\) | −0.951057 | − | 0.309017i | −0.0560415 | − | 0.0182090i | ||||
\(289\) | −1.52938 | + | 1.11116i | −0.0899635 | + | 0.0653623i | ||||
\(290\) | 17.0301 | − | 23.4400i | 1.00004 | − | 1.37644i | ||||
\(291\) | 1.10769 | + | 3.40913i | 0.0649342 | + | 0.199847i | ||||
\(292\) | 2.37676 | + | 7.31490i | 0.139089 | + | 0.428072i | ||||
\(293\) | −2.17095 | − | 1.57729i | −0.126828 | − | 0.0921461i | 0.522563 | − | 0.852601i | \(-0.324976\pi\) |
−0.649391 | + | 0.760455i | \(0.724976\pi\) | |||||||
\(294\) | 0.552761 | − | 6.97814i | 0.0322377 | − | 0.406973i | ||||
\(295\) | 2.71306 | − | 8.34994i | 0.157961 | − | 0.486153i | ||||
\(296\) | − | 5.85834i | − | 0.340509i | ||||||
\(297\) | 1.66373 | + | 2.86915i | 0.0965395 | + | 0.166485i | ||||
\(298\) | 11.0454 | 0.639845 | ||||||||
\(299\) | −1.67275 | + | 5.14820i | −0.0967376 | + | 0.297728i | ||||
\(300\) | −3.66084 | − | 5.03871i | −0.211358 | − | 0.290910i | ||||
\(301\) | −3.89188 | + | 19.5399i | −0.224324 | + | 1.12626i | ||||
\(302\) | 3.89999 | + | 12.0029i | 0.224419 | + | 0.690691i | ||||
\(303\) | 9.02160 | − | 2.93130i | 0.518277 | − | 0.168398i | ||||
\(304\) | 6.45286 | + | 4.68828i | 0.370097 | + | 0.268891i | ||||
\(305\) | 13.4595 | + | 18.5255i | 0.770691 | + | 1.06076i | ||||
\(306\) | −4.13359 | − | 1.34308i | −0.236301 | − | 0.0767790i | ||||
\(307\) | 27.8314 | 1.58842 | 0.794212 | − | 0.607641i | \(-0.207884\pi\) | ||||
0.794212 | + | 0.607641i | \(0.207884\pi\) | |||||||
\(308\) | −5.05272 | + | 7.17426i | −0.287905 | + | 0.408792i | ||||
\(309\) | −13.1666 | −0.749021 | ||||||||
\(310\) | 13.9358 | + | 4.52803i | 0.791503 | + | 0.257175i | ||||
\(311\) | 0.364789 | + | 0.502088i | 0.0206853 | + | 0.0284708i | 0.819234 | − | 0.573459i | \(-0.194399\pi\) |
−0.798549 | + | 0.601930i | \(0.794399\pi\) | |||||||
\(312\) | 3.28900 | + | 2.38960i | 0.186203 | + | 0.135284i | ||||
\(313\) | −10.5475 | + | 3.42710i | −0.596182 | + | 0.193711i | −0.591537 | − | 0.806278i | \(-0.701479\pi\) |
−0.00464514 | + | 0.999989i | \(0.501479\pi\) | |||||||
\(314\) | 0.0200400 | + | 0.0616768i | 0.00113092 | + | 0.00348062i | ||||
\(315\) | 1.73179 | − | 8.69472i | 0.0975751 | − | 0.489892i | ||||
\(316\) | 4.94611 | + | 6.80773i | 0.278240 | + | 0.382965i | ||||
\(317\) | −4.05992 | + | 12.4952i | −0.228028 | + | 0.701798i | 0.769942 | + | 0.638114i | \(0.220285\pi\) |
−0.997970 | + | 0.0636843i | \(0.979715\pi\) | |||||||
\(318\) | −13.0263 | −0.730477 | ||||||||
\(319\) | −26.2202 | − | 11.6147i | −1.46805 | − | 0.650299i | ||||
\(320\) | − | 3.35085i | − | 0.187318i | ||||||
\(321\) | −4.78943 | + | 14.7404i | −0.267320 | + | 0.822727i | ||||
\(322\) | 3.07322 | + | 1.72211i | 0.171264 | + | 0.0959695i | ||||
\(323\) | 28.0461 | + | 20.3767i | 1.56053 | + | 1.13379i | ||||
\(324\) | −0.309017 | − | 0.951057i | −0.0171676 | − | 0.0528365i | ||||
\(325\) | 7.82438 | + | 24.0810i | 0.434018 | + | 1.33577i | ||||
\(326\) | −7.69310 | + | 10.5886i | −0.426081 | + | 0.586450i | ||||
\(327\) | −7.88030 | + | 5.72537i | −0.435781 | + | 0.316614i | ||||
\(328\) | 4.01938 | + | 1.30598i | 0.221933 | + | 0.0721105i | ||||
\(329\) | −3.16231 | − | 6.86418i | −0.174344 | − | 0.378434i | ||||
\(330\) | −7.42079 | + | 8.27297i | −0.408501 | + | 0.455412i | ||||
\(331\) | −16.3939 | −0.901092 | −0.450546 | − | 0.892753i | \(-0.648771\pi\) | ||||
−0.450546 | + | 0.892753i | \(0.648771\pi\) | |||||||
\(332\) | −5.05077 | + | 15.5447i | −0.277197 | + | 0.853125i | ||||
\(333\) | 4.73950 | − | 3.44345i | 0.259723 | − | 0.188700i | ||||
\(334\) | 0.932077 | − | 1.28289i | 0.0510010 | − | 0.0701969i | ||||
\(335\) | 4.54882 | − | 1.47800i | 0.248528 | − | 0.0807518i | ||||
\(336\) | 1.94329 | − | 1.79544i | 0.106015 | − | 0.0979495i | ||||
\(337\) | −20.1910 | + | 27.7905i | −1.09987 | + | 1.51384i | −0.264318 | + | 0.964436i | \(0.585147\pi\) |
−0.835554 | + | 0.549408i | \(0.814853\pi\) | |||||||
\(338\) | −2.07351 | − | 2.85394i | −0.112784 | − | 0.155234i | ||||
\(339\) | −11.3165 | − | 3.67697i | −0.614631 | − | 0.199706i | ||||
\(340\) | − | 14.5638i | − | 0.789835i | ||||||
\(341\) | 1.48878 | − | 14.4267i | 0.0806222 | − | 0.781252i | ||||
\(342\) | 7.97617i | 0.431302i | ||||||||
\(343\) | 15.3912 | + | 10.3010i | 0.831046 | + | 0.556204i | ||||
\(344\) | −6.09226 | + | 4.42628i | −0.328472 | + | 0.238649i | ||||
\(345\) | 3.60957 | + | 2.62251i | 0.194333 | + | 0.141191i | ||||
\(346\) | 7.44150 | − | 2.41789i | 0.400057 | − | 0.129987i | ||||
\(347\) | 22.5095 | − | 7.31378i | 1.20837 | − | 0.392625i | 0.365539 | − | 0.930796i | \(-0.380885\pi\) |
0.842835 | + | 0.538172i | \(0.180885\pi\) | |||||||
\(348\) | 6.99524 | + | 5.08234i | 0.374984 | + | 0.272442i | ||||
\(349\) | 0.432192 | − | 0.314006i | 0.0231347 | − | 0.0168084i | −0.576158 | − | 0.817338i | \(-0.695449\pi\) |
0.599293 | + | 0.800530i | \(0.295449\pi\) | |||||||
\(350\) | 16.3645 | − | 1.93265i | 0.874719 | − | 0.103304i | ||||
\(351\) | 4.06542i | 0.216996i | ||||||||
\(352\) | −3.24284 | + | 0.695687i | −0.172844 | + | 0.0370803i | ||||
\(353\) | − | 20.1854i | − | 1.07436i | −0.843467 | − | 0.537180i | \(-0.819489\pi\) | ||
0.843467 | − | 0.537180i | \(-0.180511\pi\) | |||||||
\(354\) | 2.49189 | + | 0.809664i | 0.132442 | + | 0.0430332i | ||||
\(355\) | 21.6903 | + | 29.8542i | 1.15120 | + | 1.58449i | ||||
\(356\) | 5.27193 | − | 7.25619i | 0.279412 | − | 0.384577i | ||||
\(357\) | 8.44615 | − | 7.80356i | 0.447018 | − | 0.413008i | ||||
\(358\) | −9.77154 | + | 3.17497i | −0.516442 | + | 0.167802i | ||||
\(359\) | −3.36003 | + | 4.62468i | −0.177336 | + | 0.244081i | −0.888427 | − | 0.459018i | \(-0.848201\pi\) |
0.711091 | + | 0.703100i | \(0.248201\pi\) | |||||||
\(360\) | 2.71089 | − | 1.96958i | 0.142877 | − | 0.103806i | ||||
\(361\) | 13.7881 | − | 42.4355i | 0.725691 | − | 2.23345i | ||||
\(362\) | −3.37847 | −0.177568 | ||||||||
\(363\) | 9.54698 | + | 5.46400i | 0.501086 | + | 0.286785i | ||||
\(364\) | −9.76922 | + | 4.50066i | −0.512046 | + | 0.235899i | ||||
\(365\) | −24.5111 | − | 7.96415i | −1.28297 | − | 0.416863i | ||||
\(366\) | −5.52859 | + | 4.01675i | −0.288984 | + | 0.209959i | ||||
\(367\) | 8.70219 | − | 11.9775i | 0.454250 | − | 0.625222i | −0.519054 | − | 0.854742i | \(-0.673716\pi\) |
0.973304 | + | 0.229520i | \(0.0737155\pi\) | |||||||
\(368\) | 0.411458 | + | 1.26634i | 0.0214487 | + | 0.0660124i | ||||
\(369\) | 1.30598 | + | 4.01938i | 0.0679864 | + | 0.209241i | ||||
\(370\) | 15.8813 | + | 11.5385i | 0.825632 | + | 0.599857i | ||||
\(371\) | 16.8476 | − | 30.0657i | 0.874684 | − | 1.56093i | ||||
\(372\) | −1.35131 | + | 4.15890i | −0.0700621 | + | 0.215629i | ||||
\(373\) | 6.75795i | 0.349913i | 0.984576 | + | 0.174957i | \(0.0559785\pi\) | ||||
−0.984576 | + | 0.174957i | \(0.944021\pi\) | |||||||
\(374\) | −14.0944 | + | 3.02367i | −0.728804 | + | 0.156350i | ||||
\(375\) | 4.11546 | 0.212522 | ||||||||
\(376\) | 0.882707 | − | 2.71669i | 0.0455221 | − | 0.140103i | ||||
\(377\) | −20.6619 | − | 28.4386i | −1.06414 | − | 1.46466i | ||||
\(378\) | 2.59478 | + | 0.516820i | 0.133461 | + | 0.0265824i | ||||
\(379\) | 7.28121 | + | 22.4093i | 0.374011 | + | 1.15109i | 0.944144 | + | 0.329534i | \(0.106892\pi\) |
−0.570133 | + | 0.821553i | \(0.693108\pi\) | |||||||
\(380\) | −25.4188 | + | 8.25908i | −1.30396 | + | 0.423682i | ||||
\(381\) | −8.54353 | − | 6.20724i | −0.437698 | − | 0.318006i | ||||
\(382\) | 2.86415 | + | 3.94217i | 0.146543 | + | 0.201699i | ||||
\(383\) | 12.7244 | + | 4.13441i | 0.650187 | + | 0.211259i | 0.615497 | − | 0.788139i | \(-0.288955\pi\) |
0.0346906 | + | 0.999398i | \(0.488955\pi\) | |||||||
\(384\) | 1.00000 | 0.0510310 | ||||||||
\(385\) | −9.49694 | − | 27.8277i | −0.484009 | − | 1.41823i | ||||
\(386\) | 24.5257 | 1.24832 | ||||||||
\(387\) | −7.16188 | − | 2.32703i | −0.364059 | − | 0.118290i | ||||
\(388\) | −2.10696 | − | 2.89998i | −0.106965 | − | 0.147224i | ||||
\(389\) | −13.9570 | − | 10.1404i | −0.707649 | − | 0.514137i | 0.174765 | − | 0.984610i | \(-0.444083\pi\) |
−0.882414 | + | 0.470473i | \(0.844083\pi\) | |||||||
\(390\) | −12.9559 | + | 4.20962i | −0.656047 | + | 0.213162i | ||||
\(391\) | 1.78832 | + | 5.50389i | 0.0904394 | + | 0.278344i | ||||
\(392\) | 1.63066 | + | 6.80742i | 0.0823606 | + | 0.343827i | ||||
\(393\) | 0.864781 | + | 1.19027i | 0.0436224 | + | 0.0600411i | ||||
\(394\) | −1.12304 | + | 3.45635i | −0.0565777 | + | 0.174128i | ||||
\(395\) | −28.1968 | −1.41873 | ||||||||
\(396\) | −2.46892 | − | 2.21460i | −0.124068 | − | 0.111288i | ||||
\(397\) | 16.3142i | 0.818786i | 0.912358 | + | 0.409393i | \(0.134260\pi\) | ||||
−0.912358 | + | 0.409393i | \(0.865740\pi\) | |||||||
\(398\) | −3.05636 | + | 9.40651i | −0.153201 | + | 0.471506i | ||||
\(399\) | −18.4096 | − | 10.3160i | −0.921635 | − | 0.516448i | ||||
\(400\) | 5.03871 | + | 3.66084i | 0.251935 | + | 0.183042i | ||||
\(401\) | −4.41908 | − | 13.6005i | −0.220679 | − | 0.679179i | −0.998702 | − | 0.0509430i | \(-0.983777\pi\) |
0.778023 | − | 0.628236i | \(-0.216223\pi\) | |||||||
\(402\) | 0.441082 | + | 1.35751i | 0.0219992 | + | 0.0677066i | ||||
\(403\) | 10.4495 | − | 14.3825i | 0.520528 | − | 0.716445i | ||||
\(404\) | −7.67423 | + | 5.57565i | −0.381807 | + | 0.277399i | ||||
\(405\) | 3.18685 | + | 1.03547i | 0.158356 | + | 0.0514529i | ||||
\(406\) | −20.7778 | + | 9.57228i | −1.03118 | + | 0.475064i | ||||
\(407\) | 7.86934 | − | 17.7650i | 0.390069 | − | 0.880579i | ||||
\(408\) | 4.34631 | 0.215174 | ||||||||
\(409\) | 5.52485 | − | 17.0038i | 0.273186 | − | 0.840782i | −0.716507 | − | 0.697580i | \(-0.754260\pi\) |
0.989694 | − | 0.143202i | \(-0.0457398\pi\) | |||||||
\(410\) | −11.4569 | + | 8.32390i | −0.565814 | + | 0.411088i | ||||
\(411\) | 5.40052 | − | 7.43318i | 0.266388 | − | 0.366652i | ||||
\(412\) | 12.5222 | − | 4.06870i | 0.616923 | − | 0.200450i | ||||
\(413\) | −5.09167 | + | 4.70429i | −0.250545 | + | 0.231483i | ||||
\(414\) | −0.782639 | + | 1.07721i | −0.0384646 | + | 0.0529420i | ||||
\(415\) | −32.1921 | − | 44.3086i | −1.58025 | − | 2.17502i | ||||
\(416\) | −3.86645 | − | 1.25628i | −0.189568 | − | 0.0615944i | ||||
\(417\) | − | 0.805771i | − | 0.0394588i | ||||||
\(418\) | 13.2702 | + | 22.8848i | 0.649067 | + | 1.11933i | ||||
\(419\) | − | 18.6363i | − | 0.910444i | −0.890378 | − | 0.455222i | \(-0.849560\pi\) | ||
0.890378 | − | 0.455222i | \(-0.150440\pi\) | |||||||
\(420\) | 1.03979 | + | 8.80432i | 0.0507366 | + | 0.429607i | ||||
\(421\) | 10.9174 | − | 7.93199i | 0.532084 | − | 0.386582i | −0.289053 | − | 0.957313i | \(-0.593340\pi\) |
0.821137 | + | 0.570732i | \(0.193340\pi\) | |||||||
\(422\) | 5.17870 | + | 3.76255i | 0.252095 | + | 0.183158i | ||||
\(423\) | 2.71669 | − | 0.882707i | 0.132090 | − | 0.0429187i | ||||
\(424\) | 12.3887 | − | 4.02534i | 0.601649 | − | 0.195488i | ||||
\(425\) | 21.8998 | + | 15.9111i | 1.06230 | + | 0.771803i | ||||
\(426\) | −8.90944 | + | 6.47308i | −0.431664 | + | 0.313622i | ||||
\(427\) | −2.12055 | − | 17.9555i | −0.102621 | − | 0.868928i | ||||
\(428\) | − | 15.4989i | − | 0.749169i | ||||||
\(429\) | 6.76377 | + | 11.6643i | 0.326558 | + | 0.563157i | ||||
\(430\) | − | 25.2334i | − | 1.21686i | ||||||
\(431\) | −29.9821 | − | 9.74178i | −1.44419 | − | 0.469245i | −0.520987 | − | 0.853564i | \(-0.674436\pi\) |
−0.923200 | + | 0.384319i | \(0.874436\pi\) | |||||||
\(432\) | 0.587785 | + | 0.809017i | 0.0282798 | + | 0.0389238i | ||||
\(433\) | −21.5925 | + | 29.7196i | −1.03767 | + | 1.42823i | −0.138643 | + | 0.990342i | \(0.544274\pi\) |
−0.899029 | + | 0.437890i | \(0.855726\pi\) | |||||||
\(434\) | −7.85135 | − | 8.49787i | −0.376877 | − | 0.407911i | ||||
\(435\) | −27.5553 | + | 8.95328i | −1.32118 | + | 0.429277i | ||||
\(436\) | 5.72537 | − | 7.88030i | 0.274196 | − | 0.377398i | ||||
\(437\) | 8.59202 | − | 6.24247i | 0.411012 | − | 0.298618i | ||||
\(438\) | 2.37676 | − | 7.31490i | 0.113566 | − | 0.349520i | ||||
\(439\) | −16.8116 | −0.802374 | −0.401187 | − | 0.915996i | \(-0.631402\pi\) | ||||
−0.401187 | + | 0.915996i | \(0.631402\pi\) | |||||||
\(440\) | 4.50110 | − | 10.1612i | 0.214581 | − | 0.484417i | ||||
\(441\) | −4.54884 | + | 5.32053i | −0.216611 | + | 0.253359i | ||||
\(442\) | −16.8048 | − | 5.46021i | −0.799322 | − | 0.259715i | ||||
\(443\) | 6.82698 | − | 4.96009i | 0.324360 | − | 0.235661i | −0.413674 | − | 0.910425i | \(-0.635755\pi\) |
0.738034 | + | 0.674764i | \(0.235755\pi\) | |||||||
\(444\) | −3.44345 | + | 4.73950i | −0.163419 | + | 0.224927i | ||||
\(445\) | 9.28727 | + | 28.5833i | 0.440259 | + | 1.35498i | ||||
\(446\) | 2.58337 | + | 7.95079i | 0.122326 | + | 0.376481i | ||||
\(447\) | −8.93595 | − | 6.49235i | −0.422656 | − | 0.307078i | ||||
\(448\) | −1.29336 | + | 2.30808i | −0.0611054 | + | 0.109046i | ||||
\(449\) | 10.1726 | − | 31.3081i | 0.480076 | − | 1.47752i | −0.358912 | − | 0.933372i | \(-0.616852\pi\) |
0.838988 | − | 0.544151i | \(-0.183148\pi\) | |||||||
\(450\) | 6.22819i | 0.293599i | ||||||||
\(451\) | 10.4342 | + | 9.35940i | 0.491328 | + | 0.440717i | ||||
\(452\) | 11.8989 | 0.559678 | ||||||||
\(453\) | 3.89999 | − | 12.0029i | 0.183237 | − | 0.563947i | ||||
\(454\) | −8.98966 | − | 12.3732i | −0.421906 | − | 0.580704i | ||||
\(455\) | 7.04044 | − | 35.3477i | 0.330061 | − | 1.65713i | ||||
\(456\) | −2.46477 | − | 7.58579i | −0.115424 | − | 0.355237i | ||||
\(457\) | −11.5893 | + | 3.76560i | −0.542126 | + | 0.176147i | −0.567263 | − | 0.823537i | \(-0.691998\pi\) |
0.0251371 | + | 0.999684i | \(0.491998\pi\) | |||||||
\(458\) | −0.701183 | − | 0.509439i | −0.0327641 | − | 0.0238045i | ||||
\(459\) | 2.55470 | + | 3.51624i | 0.119243 | + | 0.164124i | ||||
\(460\) | −4.24330 | − | 1.37873i | −0.197845 | − | 0.0642837i | ||||
\(461\) | 17.6247 | 0.820865 | 0.410433 | − | 0.911891i | \(-0.365378\pi\) | ||||
0.410433 | + | 0.911891i | \(0.365378\pi\) | |||||||
\(462\) | 8.30466 | − | 2.83419i | 0.386368 | − | 0.131858i | ||||
\(463\) | −9.39398 | −0.436575 | −0.218288 | − | 0.975884i | \(-0.570047\pi\) | ||||
−0.218288 | + | 0.975884i | \(0.570047\pi\) | |||||||
\(464\) | −8.22339 | − | 2.67194i | −0.381761 | − | 0.124042i | ||||
\(465\) | −8.61283 | − | 11.8545i | −0.399410 | − | 0.549741i | ||||
\(466\) | 12.4137 | + | 9.01905i | 0.575052 | + | 0.417800i | ||||
\(467\) | 24.4180 | − | 7.93389i | 1.12993 | − | 0.367137i | 0.316381 | − | 0.948632i | \(-0.397532\pi\) |
0.813550 | + | 0.581495i | \(0.197532\pi\) | |||||||
\(468\) | −1.25628 | − | 3.86645i | −0.0580718 | − | 0.178727i | ||||
\(469\) | −3.70372 | − | 0.737695i | −0.171022 | − | 0.0340636i | ||||
\(470\) | 5.62610 | + | 7.74367i | 0.259513 | + | 0.357189i | ||||
\(471\) | 0.0200400 | − | 0.0616768i | 0.000923395 | − | 0.00284192i | ||||
\(472\) | −2.62013 | −0.120601 | ||||||||
\(473\) | −24.4200 | + | 5.23883i | −1.12283 | + | 0.240882i | ||||
\(474\) | − | 8.41482i | − | 0.386505i | ||||||
\(475\) | 15.3511 | − | 47.2457i | 0.704355 | − | 2.16778i | ||||
\(476\) | −5.62133 | + | 10.0316i | −0.257653 | + | 0.459799i | ||||
\(477\) | 10.5385 | + | 7.65665i | 0.482523 | + | 0.350574i | ||||
\(478\) | −5.42259 | − | 16.6890i | −0.248024 | − | 0.763338i | ||||
\(479\) | 4.17403 | + | 12.8463i | 0.190716 | + | 0.586964i | 1.00000 | 0.000453914i | \(-0.000144485\pi\) | |
−0.809284 | + | 0.587418i | \(0.800144\pi\) | |||||||
\(480\) | −1.96958 | + | 2.71089i | −0.0898986 | + | 0.123735i | ||||
\(481\) | 19.2681 | − | 13.9991i | 0.878548 | − | 0.638303i | ||||
\(482\) | −19.7859 | − | 6.42882i | −0.901221 | − | 0.292825i | ||||
\(483\) | −1.47405 | − | 3.19961i | −0.0670718 | − | 0.145587i | ||||
\(484\) | −10.7682 | − | 2.24639i | −0.489463 | − | 0.102109i | ||||
\(485\) | 12.0114 | 0.545408 | ||||||||
\(486\) | −0.309017 | + | 0.951057i | −0.0140173 | + | 0.0431408i | ||||
\(487\) | −12.8400 | + | 9.32882i | −0.581837 | + | 0.422729i | −0.839386 | − | 0.543536i | \(-0.817085\pi\) |
0.257549 | + | 0.966265i | \(0.417085\pi\) | |||||||
\(488\) | 4.01675 | − | 5.52859i | 0.181830 | − | 0.250267i | ||||
\(489\) | 12.4477 | − | 4.04450i | 0.562904 | − | 0.182899i | ||||
\(490\) | −21.6659 | − | 8.98721i | −0.978765 | − | 0.406001i | ||||
\(491\) | 16.8799 | − | 23.2333i | 0.761781 | − | 1.04850i | −0.235282 | − | 0.971927i | \(-0.575601\pi\) |
0.997064 | − | 0.0765752i | \(-0.0243985\pi\) | |||||||
\(492\) | −2.48412 | − | 3.41909i | −0.111993 | − | 0.154145i | ||||
\(493\) | −35.7414 | − | 11.6131i | −1.60971 | − | 0.523027i | ||||
\(494\) | 32.4265i | 1.45894i | ||||||||
\(495\) | 10.8663 | − | 2.33114i | 0.488402 | − | 0.104777i | ||||
\(496\) | − | 4.37293i | − | 0.196350i | ||||||
\(497\) | −3.41731 | − | 28.9357i | −0.153287 | − | 1.29794i | ||||
\(498\) | 13.2231 | − | 9.60714i | 0.592541 | − | 0.430506i | ||||
\(499\) | −31.1600 | − | 22.6391i | −1.39491 | − | 1.01346i | −0.995306 | − | 0.0967776i | \(-0.969146\pi\) |
−0.399607 | − | 0.916686i | \(-0.630854\pi\) | |||||||
\(500\) | −3.91404 | + | 1.27175i | −0.175041 | + | 0.0568743i | ||||
\(501\) | −1.50813 | + | 0.490022i | −0.0673784 | + | 0.0218926i | ||||
\(502\) | −4.98933 | − | 3.62496i | −0.222685 | − | 0.161790i | ||||
\(503\) | −8.90773 | + | 6.47185i | −0.397176 | + | 0.288565i | −0.768390 | − | 0.639982i | \(-0.778942\pi\) |
0.371214 | + | 0.928547i | \(0.378942\pi\) | |||||||
\(504\) | −2.62749 | + | 0.310307i | −0.117038 | + | 0.0138222i | ||||
\(505\) | − | 31.7857i | − | 1.41445i | ||||||
\(506\) | −0.453318 | + | 4.39278i | −0.0201524 | + | 0.195283i | ||||
\(507\) | 3.52767i | 0.156669i | ||||||||
\(508\) | 10.0435 | + | 3.26334i | 0.445609 | + | 0.144787i | ||||
\(509\) | −12.2189 | − | 16.8179i | −0.541595 | − | 0.745442i | 0.447247 | − | 0.894411i | \(-0.352405\pi\) |
−0.988842 | + | 0.148969i | \(0.952405\pi\) | |||||||
\(510\) | −8.56040 | + | 11.7824i | −0.379061 | + | 0.521733i | ||||
\(511\) | 13.8094 | + | 14.9465i | 0.610891 | + | 0.661195i | ||||
\(512\) | −0.951057 | + | 0.309017i | −0.0420312 | + | 0.0136568i | ||||
\(513\) | 4.68828 | − | 6.45286i | 0.206992 | − | 0.284901i | ||||
\(514\) | 10.6064 | − | 7.70597i | 0.467826 | − | 0.339896i | ||||
\(515\) | −13.6336 | + | 41.9599i | −0.600768 | + | 1.84897i | ||||
\(516\) | 7.53044 | 0.331509 | ||||||||
\(517\) | 6.32600 | − | 7.05246i | 0.278217 | − | 0.310167i | ||||
\(518\) | −6.48553 | − | 14.0776i | −0.284958 | − | 0.618535i | ||||
\(519\) | −7.44150 | − | 2.41789i | −0.326646 | − | 0.106134i | ||||
\(520\) | 11.0209 | − | 8.00717i | 0.483300 | − | 0.351138i | ||||
\(521\) | −21.4609 | + | 29.5384i | −0.940218 | + | 1.29410i | 0.0155198 | + | 0.999880i | \(0.495060\pi\) |
−0.955738 | + | 0.294220i | \(0.904940\pi\) | |||||||
\(522\) | −2.67194 | − | 8.22339i | −0.116948 | − | 0.359928i | ||||
\(523\) | 5.06088 | + | 15.5758i | 0.221297 | + | 0.681081i | 0.998646 | + | 0.0520126i | \(0.0165636\pi\) |
−0.777350 | + | 0.629069i | \(0.783436\pi\) | |||||||
\(524\) | −1.19027 | − | 0.864781i | −0.0519971 | − | 0.0377781i | ||||
\(525\) | −14.3751 | − | 8.05527i | −0.627383 | − | 0.351561i | ||||
\(526\) | 1.12268 | − | 3.45525i | 0.0489511 | − | 0.150656i | ||||
\(527\) | − | 19.0061i | − | 0.827919i | ||||||
\(528\) | 3.03243 | + | 1.34327i | 0.131970 | + | 0.0584584i | ||||
\(529\) | −21.2271 | −0.922917 | ||||||||
\(530\) | −13.4883 | + | 41.5127i | −0.585894 | + | 1.80320i | ||||
\(531\) | −1.54007 | − | 2.11973i | −0.0668334 | − | 0.0919883i | ||||
\(532\) | 20.6964 | + | 4.12225i | 0.897304 | + | 0.178722i | ||||
\(533\) | 5.30935 | + | 16.3405i | 0.229973 | + | 0.707785i | ||||
\(534\) | −8.53016 | + | 2.77162i | −0.369136 | + | 0.119940i | ||||
\(535\) | 42.0160 | + | 30.5264i | 1.81651 | + | 1.31977i | ||||
\(536\) | −0.838989 | − | 1.15477i | −0.0362388 | − | 0.0498784i | ||||
\(537\) | 9.77154 | + | 3.17497i | 0.421673 | + | 0.137010i | ||||
\(538\) | −3.17998 | −0.137099 | ||||||||
\(539\) | −4.19936 | + | 22.8334i | −0.180879 | + | 0.983505i | ||||
\(540\) | −3.35085 | −0.144198 | ||||||||
\(541\) | −9.80091 | − | 3.18451i | −0.421374 | − | 0.136913i | 0.0906520 | − | 0.995883i | \(-0.471105\pi\) |
−0.512026 | + | 0.858970i | \(0.671105\pi\) | |||||||
\(542\) | −17.7558 | − | 24.4388i | −0.762678 | − | 1.04974i | ||||
\(543\) | 2.73324 | + | 1.98581i | 0.117294 | + | 0.0852194i | ||||
\(544\) | −4.13359 | + | 1.34308i | −0.177226 | + | 0.0575842i | ||||
\(545\) | 10.0861 | + | 31.0417i | 0.432040 | + | 1.32968i | ||||
\(546\) | 10.5489 | + | 2.10109i | 0.451451 | + | 0.0899184i | ||||
\(547\) | −1.55026 | − | 2.13375i | −0.0662844 | − | 0.0912326i | 0.774588 | − | 0.632466i | \(-0.217957\pi\) |
−0.840872 | + | 0.541234i | \(0.817957\pi\) | |||||||
\(548\) | −2.83922 | + | 8.73822i | −0.121285 | + | 0.373278i | ||||
\(549\) | 6.83371 | 0.291656 | ||||||||
\(550\) | 10.3620 | + | 17.8696i | 0.441838 | + | 0.761961i | ||||
\(551\) | 68.9667i | 2.93808i | ||||||||
\(552\) | 0.411458 | − | 1.26634i | 0.0175128 | − | 0.0538989i | ||||
\(553\) | 19.4221 | + | 10.8834i | 0.825910 | + | 0.462808i | ||||
\(554\) | −18.5930 | − | 13.5086i | −0.789939 | − | 0.573924i | ||||
\(555\) | −6.06613 | − | 18.6696i | −0.257493 | − | 0.792482i | ||||
\(556\) | 0.248997 | + | 0.766334i | 0.0105598 | + | 0.0324998i | ||||
\(557\) | 12.2515 | − | 16.8628i | 0.519114 | − | 0.714499i | −0.466309 | − | 0.884622i | \(-0.654417\pi\) |
0.985423 | + | 0.170123i | \(0.0544166\pi\) | |||||||
\(558\) | 3.53777 | − | 2.57034i | 0.149766 | − | 0.108811i | ||||
\(559\) | −29.1161 | − | 9.46038i | −1.23148 | − | 0.400132i | ||||
\(560\) | −3.70959 | − | 8.05210i | −0.156759 | − | 0.340263i | ||||
\(561\) | 13.1799 | + | 5.83827i | 0.556455 | + | 0.246492i | ||||
\(562\) | 17.0393 | 0.718761 | ||||||||
\(563\) | −11.3867 | + | 35.0447i | −0.479893 | + | 1.47696i | 0.359351 | + | 0.933202i | \(0.382998\pi\) |
−0.839244 | + | 0.543755i | \(0.817002\pi\) | |||||||
\(564\) | −2.31096 | + | 1.67901i | −0.0973089 | + | 0.0706990i | ||||
\(565\) | −23.4359 | + | 32.2567i | −0.985955 | + | 1.35705i | ||||
\(566\) | 16.5324 | − | 5.37169i | 0.694907 | − | 0.225789i | ||||
\(567\) | −1.79544 | − | 1.94329i | −0.0754016 | − | 0.0816106i | ||||
\(568\) | 6.47308 | − | 8.90944i | 0.271605 | − | 0.373832i | ||||
\(569\) | 2.28389 | + | 3.14351i | 0.0957457 | + | 0.131783i | 0.854202 | − | 0.519941i | \(-0.174046\pi\) |
−0.758456 | + | 0.651724i | \(0.774046\pi\) | |||||||
\(570\) | 25.4188 | + | 8.25908i | 1.06468 | + | 0.345935i | ||||
\(571\) | 2.92993i | 0.122614i | 0.998119 | + | 0.0613069i | \(0.0195268\pi\) | ||||
−0.998119 | + | 0.0613069i | \(0.980473\pi\) | |||||||
\(572\) | −10.0372 | − | 9.00328i | −0.419676 | − | 0.376446i | ||||
\(573\) | − | 4.87279i | − | 0.203564i | ||||||
\(574\) | 11.1044 | − | 1.31143i | 0.463488 | − | 0.0547380i | ||||
\(575\) | 6.70907 | − | 4.87442i | 0.279787 | − | 0.203277i | ||||
\(576\) | −0.809017 | − | 0.587785i | −0.0337090 | − | 0.0244911i | ||||
\(577\) | 17.5272 | − | 5.69493i | 0.729666 | − | 0.237083i | 0.0794571 | − | 0.996838i | \(-0.474681\pi\) |
0.650209 | + | 0.759755i | \(0.274681\pi\) | |||||||
\(578\) | −1.79789 | + | 0.584171i | −0.0747825 | + | 0.0242983i | ||||
\(579\) | −19.8417 | − | 14.4158i | −0.824592 | − | 0.599101i | ||||
\(580\) | 23.4400 | − | 17.0301i | 0.973292 | − | 0.707138i | ||||
\(581\) | 5.07186 | + | 42.9454i | 0.210416 | + | 1.78168i | ||||
\(582\) | 3.58458i | 0.148585i | ||||||||
\(583\) | 42.9750 | + | 4.43486i | 1.77984 | + | 0.183673i | ||||
\(584\) | 7.69135i | 0.318270i | ||||||||
\(585\) | 12.9559 | + | 4.20962i | 0.535660 | + | 0.174046i | ||||
\(586\) | −1.57729 | − | 2.17095i | −0.0651572 | − | 0.0896811i | ||||
\(587\) | −12.1267 | + | 16.6910i | −0.500523 | + | 0.688910i | −0.982285 | − | 0.187392i | \(-0.939997\pi\) |
0.481763 | + | 0.876302i | \(0.339997\pi\) | |||||||
\(588\) | 2.68207 | − | 6.46579i | 0.110607 | − | 0.266645i | ||||
\(589\) | −33.1721 | + | 10.7783i | −1.36683 | + | 0.444111i | ||||
\(590\) | 5.16055 | − | 7.10289i | 0.212456 | − | 0.292421i | ||||
\(591\) | 2.94015 | − | 2.13614i | 0.120941 | − | 0.0878691i | ||||
\(592\) | 1.81033 | − | 5.57162i | 0.0744040 | − | 0.228992i | ||||
\(593\) | −11.9095 | −0.489063 | −0.244532 | − | 0.969641i | \(-0.578634\pi\) | ||||
−0.244532 | + | 0.969641i | \(0.578634\pi\) | |||||||
\(594\) | 0.695687 | + | 3.24284i | 0.0285444 | + | 0.133055i | ||||
\(595\) | −16.1230 | − | 34.9969i | −0.660979 | − | 1.43473i | ||||
\(596\) | 10.5048 | + | 3.41323i | 0.430295 | + | 0.139811i | ||||
\(597\) | 8.00165 | − | 5.81354i | 0.327486 | − | 0.237932i | ||||
\(598\) | −3.18176 | + | 4.37932i | −0.130112 | + | 0.179084i | ||||
\(599\) | 1.11447 | + | 3.42999i | 0.0455361 | + | 0.140146i | 0.971240 | − | 0.238104i | \(-0.0765260\pi\) |
−0.925703 | + | 0.378250i | \(0.876526\pi\) | |||||||
\(600\) | −1.92462 | − | 5.92336i | −0.0785721 | − | 0.241820i | ||||
\(601\) | −38.8729 | − | 28.2428i | −1.58566 | − | 1.15205i | −0.909822 | − | 0.414998i | \(-0.863782\pi\) |
−0.675837 | − | 0.737051i | \(-0.736218\pi\) | |||||||
\(602\) | −9.73955 | + | 17.3809i | −0.396954 | + | 0.708391i | ||||
\(603\) | 0.441082 | − | 1.35751i | 0.0179623 | − | 0.0552822i | ||||
\(604\) | 12.6206i | 0.513526i | ||||||||
\(605\) | 27.2985 | − | 24.7669i | 1.10984 | − | 1.00692i | ||||
\(606\) | 9.48587 | 0.385337 | ||||||||
\(607\) | 3.41023 | − | 10.4956i | 0.138417 | − | 0.426004i | −0.857689 | − | 0.514169i | \(-0.828100\pi\) |
0.996106 | + | 0.0881655i | \(0.0281004\pi\) | |||||||
\(608\) | 4.68828 | + | 6.45286i | 0.190135 | + | 0.261698i | ||||
\(609\) | 22.4360 | + | 4.46873i | 0.909153 | + | 0.181082i | ||||
\(610\) | 7.07610 | + | 21.7780i | 0.286503 | + | 0.881765i | ||||
\(611\) | 11.0445 | − | 3.58858i | 0.446813 | − | 0.145178i | ||||
\(612\) | −3.51624 | − | 2.55470i | −0.142136 | − | 0.103268i | ||||
\(613\) | 6.75980 | + | 9.30406i | 0.273026 | + | 0.375788i | 0.923408 | − | 0.383819i | \(-0.125391\pi\) |
−0.650383 | + | 0.759607i | \(0.725391\pi\) | |||||||
\(614\) | 26.4693 | + | 8.60038i | 1.06821 | + | 0.347083i | ||||
\(615\) | 14.1615 | 0.571045 | ||||||||
\(616\) | −7.02239 | + | 5.26175i | −0.282940 | + | 0.212002i | ||||
\(617\) | −2.23443 | −0.0899547 | −0.0449773 | − | 0.998988i | \(-0.514322\pi\) | ||||
−0.0449773 | + | 0.998988i | \(0.514322\pi\) | |||||||
\(618\) | −12.5222 | − | 4.06870i | −0.503715 | − | 0.163667i | ||||
\(619\) | 14.3148 | + | 19.7026i | 0.575359 | + | 0.791913i | 0.993177 | − | 0.116617i | \(-0.0372051\pi\) |
−0.417818 | + | 0.908531i | \(0.637205\pi\) | |||||||
\(620\) | 11.8545 | + | 8.61283i | 0.476090 | + | 0.345899i | ||||
\(621\) | 1.26634 | − | 0.411458i | 0.0508163 | − | 0.0165112i | ||||
\(622\) | 0.191781 | + | 0.590240i | 0.00768970 | + | 0.0236665i | ||||
\(623\) | 4.63543 | − | 23.2730i | 0.185715 | − | 0.932412i | ||||
\(624\) | 2.38960 | + | 3.28900i | 0.0956604 | + | 0.131665i | ||||
\(625\) | −5.36164 | + | 16.5014i | −0.214466 | + | 0.660057i | ||||
\(626\) | −11.0903 | −0.443259 | ||||||||
\(627\) | 2.71553 | − | 26.3142i | 0.108448 | − | 1.05089i | ||||
\(628\) | 0.0648508i | 0.00258783i | ||||||||
\(629\) | 7.86825 | − | 24.2160i | 0.313728 | − | 0.965554i | ||||
\(630\) | 4.33384 | − | 7.73402i | 0.172664 | − | 0.308131i | ||||
\(631\) | 23.8486 | + | 17.3270i | 0.949396 | + | 0.689776i | 0.950664 | − | 0.310223i | \(-0.100404\pi\) |
−0.00126809 | + | 0.999999i | \(0.500404\pi\) | |||||||
\(632\) | 2.60032 | + | 8.00297i | 0.103435 | + | 0.318341i | ||||
\(633\) | −1.97809 | − | 6.08793i | −0.0786220 | − | 0.241974i | ||||
\(634\) | −7.72243 | + | 10.6290i | −0.306697 | + | 0.422132i | ||||
\(635\) | −28.6281 | + | 20.7995i | −1.13607 | + | 0.825403i | ||||
\(636\) | −12.3887 | − | 4.02534i | −0.491245 | − | 0.159615i | ||||
\(637\) | −18.4930 | + | 21.6302i | −0.732718 | + | 0.857020i | ||||
\(638\) | −21.3477 | − | 19.1487i | −0.845164 | − | 0.758105i | ||||
\(639\) | 11.0127 | 0.435654 | ||||||||
\(640\) | 1.03547 | − | 3.18685i | 0.0409305 | − | 0.125971i | ||||
\(641\) | 26.4650 | − | 19.2279i | 1.04530 | − | 0.759458i | 0.0739901 | − | 0.997259i | \(-0.476427\pi\) |
0.971314 | + | 0.237801i | \(0.0764267\pi\) | |||||||
\(642\) | −9.11004 | + | 12.5389i | −0.359545 | + | 0.494871i | ||||
\(643\) | 33.1283 | − | 10.7640i | 1.30645 | − | 0.424492i | 0.428630 | − | 0.903480i | \(-0.358996\pi\) |
0.877821 | + | 0.478988i | \(0.158996\pi\) | |||||||
\(644\) | 2.39064 | + | 2.58750i | 0.0942046 | + | 0.101962i | ||||
\(645\) | −14.8318 | + | 20.4142i | −0.584002 | + | 0.803809i | ||||
\(646\) | 20.3767 | + | 28.0461i | 0.801711 | + | 1.10346i | ||||
\(647\) | 10.4783 | + | 3.40462i | 0.411946 | + | 0.133849i | 0.507656 | − | 0.861560i | \(-0.330512\pi\) |
−0.0957099 | + | 0.995409i | \(0.530512\pi\) | |||||||
\(648\) | − | 1.00000i | − | 0.0392837i | ||||||
\(649\) | −7.94535 | − | 3.51954i | −0.311882 | − | 0.138154i | ||||
\(650\) | 25.3202i | 0.993140i | ||||||||
\(651\) | 1.35695 | + | 11.4898i | 0.0531830 | + | 0.450322i | ||||
\(652\) | −10.5886 | + | 7.69310i | −0.414683 | + | 0.301285i | ||||
\(653\) | −1.53109 | − | 1.11240i | −0.0599163 | − | 0.0435317i | 0.557424 | − | 0.830228i | \(-0.311790\pi\) |
−0.617340 | + | 0.786696i | \(0.711790\pi\) | |||||||
\(654\) | −9.26385 | + | 3.01001i | −0.362245 | + | 0.117701i | ||||
\(655\) | 4.68866 | − | 1.52344i | 0.183201 | − | 0.0595256i | ||||
\(656\) | 3.41909 | + | 2.48412i | 0.133493 | + | 0.0969884i | ||||
\(657\) | −6.22243 | + | 4.52086i | −0.242760 | + | 0.176376i | ||||
\(658\) | −0.886392 | − | 7.50543i | −0.0345552 | − | 0.292592i | ||||
\(659\) | − | 18.1765i | − | 0.708055i | −0.935235 | − | 0.354028i | \(-0.884812\pi\) | ||
0.935235 | − | 0.354028i | \(-0.115188\pi\) | |||||||
\(660\) | −9.61407 | + | 5.57491i | −0.374227 | + | 0.217003i | ||||
\(661\) | − | 33.3978i | − | 1.29902i | −0.760351 | − | 0.649512i | \(-0.774973\pi\) | ||
0.760351 | − | 0.649512i | \(-0.225027\pi\) | |||||||
\(662\) | −15.5915 | − | 5.06600i | −0.605983 | − | 0.196896i | ||||
\(663\) | 10.3859 | + | 14.2950i | 0.403356 | + | 0.555172i | ||||
\(664\) | −9.60714 | + | 13.2231i | −0.372829 | + | 0.513156i | ||||
\(665\) | −51.9382 | + | 47.9867i | −2.01408 | + | 1.86085i | ||||
\(666\) | 5.57162 | − | 1.81033i | 0.215896 | − | 0.0701488i | ||||
\(667\) | −6.76716 | + | 9.31420i | −0.262025 | + | 0.360647i | ||||
\(668\) | 1.28289 | − | 0.932077i | 0.0496367 | − | 0.0360632i | ||||
\(669\) | 2.58337 | − | 7.95079i | 0.0998787 | − | 0.307395i | ||||
\(670\) | 4.78291 | 0.184780 | ||||||||
\(671\) | 19.6069 | − | 11.3695i | 0.756916 | − | 0.438913i | ||||
\(672\) | 2.40300 | − | 1.10706i | 0.0926978 | − | 0.0427057i | ||||
\(673\) | 18.2164 | + | 5.91888i | 0.702192 | + | 0.228156i | 0.638285 | − | 0.769800i | \(-0.279644\pi\) |
0.0639066 | + | 0.997956i | \(0.479644\pi\) | |||||||
\(674\) | −27.7905 | + | 20.1910i | −1.07045 | + | 0.777727i | ||||
\(675\) | 3.66084 | − | 5.03871i | 0.140906 | − | 0.193940i | ||||
\(676\) | −1.09011 | − | 3.35501i | −0.0419273 | − | 0.129039i | ||||
\(677\) | −14.6937 | − | 45.2227i | −0.564727 | − | 1.73805i | −0.668762 | − | 0.743476i | \(-0.733176\pi\) |
0.104036 | − | 0.994574i | \(-0.466824\pi\) | |||||||
\(678\) | −9.62643 | − | 6.99401i | −0.369701 | − | 0.268603i | ||||
\(679\) | −8.27348 | − | 4.63614i | −0.317507 | − | 0.177919i | ||||
\(680\) | 4.50047 | − | 13.8510i | 0.172585 | − | 0.531163i | ||||
\(681\) | 15.2941i | 0.586072i | ||||||||
\(682\) | 5.87403 | − | 13.2606i | 0.224928 | − | 0.507774i | ||||
\(683\) | 28.8662 | 1.10453 | 0.552267 | − | 0.833667i | \(-0.313763\pi\) | ||||
0.552267 | + | 0.833667i | \(0.313763\pi\) | |||||||
\(684\) | −2.46477 | + | 7.58579i | −0.0942430 | + | 0.290050i | ||||
\(685\) | −18.0963 | − | 24.9074i | −0.691425 | − | 0.951665i | ||||
\(686\) | 11.4547 | + | 14.5530i | 0.437342 | + | 0.555637i | ||||
\(687\) | 0.267828 | + | 0.824290i | 0.0102183 | + | 0.0314486i | ||||
\(688\) | −7.16188 | + | 2.32703i | −0.273044 | + | 0.0887174i | ||||
\(689\) | 42.8434 | + | 31.1275i | 1.63220 | + | 1.18586i | ||||
\(690\) | 2.62251 | + | 3.60957i | 0.0998371 | + | 0.137414i | ||||
\(691\) | −10.2129 | − | 3.31838i | −0.388518 | − | 0.126237i | 0.108243 | − | 0.994124i | \(-0.465478\pi\) |
−0.496761 | + | 0.867887i | \(0.665478\pi\) | |||||||
\(692\) | 7.82445 | 0.297441 | ||||||||
\(693\) | −8.38451 | − | 2.58845i | −0.318501 | − | 0.0983271i | ||||
\(694\) | 23.6679 | 0.898421 | ||||||||
\(695\) | −2.56787 | − | 0.834351i | −0.0974049 | − | 0.0316488i | ||||
\(696\) | 5.08234 | + | 6.99524i | 0.192645 | + | 0.265154i | ||||
\(697\) | 14.8604 | + | 10.7967i | 0.562879 | + | 0.408956i | ||||
\(698\) | 0.508073 | − | 0.165083i | 0.0192308 | − | 0.00624848i | ||||
\(699\) | −4.74160 | − | 14.5931i | −0.179344 | − | 0.551963i | ||||
\(700\) | 16.1608 | + | 3.21885i | 0.610820 | + | 0.121661i | ||||
\(701\) | 11.7169 | + | 16.1270i | 0.442542 | + | 0.609107i | 0.970775 | − | 0.239993i | \(-0.0771450\pi\) |
−0.528232 | + | 0.849100i | \(0.677145\pi\) | |||||||
\(702\) | −1.25628 | + | 3.86645i | −0.0474154 | + | 0.145930i | ||||
\(703\) | −46.7272 | −1.76235 | ||||||||
\(704\) | −3.29910 | − | 0.340455i | −0.124340 | − | 0.0128314i | ||||
\(705\) | − | 9.57170i | − | 0.360491i | ||||||
\(706\) | 6.23763 | − | 19.1975i | 0.234756 | − | 0.722506i | ||||
\(707\) | −12.2686 | + | 21.8941i | −0.461409 | + | 0.823414i | ||||
\(708\) | 2.11973 | + | 1.54007i | 0.0796642 | + | 0.0578795i | ||||
\(709\) | −5.38972 | − | 16.5879i | −0.202415 | − | 0.622970i | −0.999810 | − | 0.0195117i | \(-0.993789\pi\) |
0.797394 | − | 0.603459i | \(-0.206211\pi\) | |||||||
\(710\) | 11.4033 | + | 35.0957i | 0.427957 | + | 1.31712i | ||||
\(711\) | −4.94611 | + | 6.80773i | −0.185493 | + | 0.255310i | ||||
\(712\) | 7.25619 | − | 5.27193i | 0.271937 | − | 0.197574i | ||||
\(713\) | −5.53760 | − | 1.79927i | −0.207385 | − | 0.0673834i | ||||
\(714\) | 10.4442 | − | 4.81162i | 0.390864 | − | 0.180070i | ||||
\(715\) | 44.1760 | − | 9.47709i | 1.65209 | − | 0.354423i | ||||
\(716\) | −10.2744 | −0.383973 | ||||||||
\(717\) | −5.42259 | + | 16.6890i | −0.202510 | + | 0.623263i | ||||
\(718\) | −4.62468 | + | 3.36003i | −0.172592 | + | 0.125395i | ||||
\(719\) | −15.8269 | + | 21.7838i | −0.590243 | + | 0.812400i | −0.994772 | − | 0.102125i | \(-0.967436\pi\) |
0.404528 | + | 0.914526i | \(0.367436\pi\) | |||||||
\(720\) | 3.18685 | − | 1.03547i | 0.118767 | − | 0.0385897i | ||||
\(721\) | 25.5865 | − | 23.6399i | 0.952891 | − | 0.880395i | ||||
\(722\) | 26.2266 | − | 36.0978i | 0.976053 | − | 1.34342i | ||||
\(723\) | 12.2283 | + | 16.8309i | 0.454777 | + | 0.625947i | ||||
\(724\) | −3.21311 | − | 1.04400i | −0.119414 | − | 0.0388001i | ||||
\(725\) | 53.8526i | 2.00003i | ||||||||
\(726\) | 7.39124 | + | 8.14675i | 0.274315 | + | 0.302354i | ||||
\(727\) | 32.3887i | 1.20123i | 0.799538 | + | 0.600616i | \(0.205078\pi\) | ||||
−0.799538 | + | 0.600616i | \(0.794922\pi\) | |||||||
\(728\) | −10.6819 | + | 1.26153i | −0.395896 | + | 0.0467554i | ||||
\(729\) | 0.809017 | − | 0.587785i | 0.0299636 | − | 0.0217698i | ||||
\(730\) | −20.8504 | − | 15.1487i | −0.771709 | − | 0.560679i | ||||
\(731\) | −31.1277 | + | 10.1140i | −1.15130 | + | 0.374080i | ||||
\(732\) | −6.49924 | + | 2.11173i | −0.240219 | + | 0.0780519i | ||||
\(733\) | 23.8571 | + | 17.3332i | 0.881183 | + | 0.640217i | 0.933564 | − | 0.358410i | \(-0.116681\pi\) |
−0.0523810 | + | 0.998627i | \(0.516681\pi\) | |||||||
\(734\) | 11.9775 | − | 8.70219i | 0.442099 | − | 0.321204i | ||||
\(735\) | 12.2455 | + | 20.0057i | 0.451683 | + | 0.737921i | ||||
\(736\) | 1.33151i | 0.0490799i | ||||||||
\(737\) | −0.993005 | − | 4.62874i | −0.0365778 | − | 0.170502i | ||||
\(738\) | 4.22623i | 0.155570i | ||||||||
\(739\) | 21.9304 | + | 7.12561i | 0.806721 | + | 0.262120i | 0.683209 | − | 0.730223i | \(-0.260584\pi\) |
0.123513 | + | 0.992343i | \(0.460584\pi\) | |||||||
\(740\) | 11.5385 | + | 15.8813i | 0.424163 | + | 0.583810i | ||||
\(741\) | 19.0598 | − | 26.2336i | 0.700180 | − | 0.963716i | ||||
\(742\) | 25.3138 | − | 23.3879i | 0.929300 | − | 0.858598i | ||||
\(743\) | −16.2910 | + | 5.29326i | −0.597658 | + | 0.194191i | −0.592196 | − | 0.805794i | \(-0.701739\pi\) |
−0.00546257 | + | 0.999985i | \(0.501739\pi\) | |||||||
\(744\) | −2.57034 | + | 3.53777i | −0.0942333 | + | 0.129701i | ||||
\(745\) | −29.9430 | + | 21.7549i | −1.09703 | + | 0.797037i | ||||
\(746\) | −2.08832 | + | 6.42719i | −0.0764589 | + | 0.235316i | ||||
\(747\) | −16.3446 | −0.598019 | ||||||||
\(748\) | −14.3389 | − | 1.47972i | −0.524283 | − | 0.0541040i | ||||
\(749\) | −17.1582 | − | 37.2440i | −0.626948 | − | 1.36087i | ||||
\(750\) | 3.91404 | + | 1.27175i | 0.142921 | + | 0.0464377i | ||||
\(751\) | −4.96767 | + | 3.60922i | −0.181273 | + | 0.131702i | −0.674721 | − | 0.738073i | \(-0.735736\pi\) |
0.493448 | + | 0.869775i | \(0.335736\pi\) | |||||||
\(752\) | 1.67901 | − | 2.31096i | 0.0612272 | − | 0.0842719i | ||||
\(753\) | 1.90575 | + | 5.86531i | 0.0694495 | + | 0.213744i | ||||
\(754\) | −10.8626 | − | 33.4316i | −0.395592 | − | 1.21751i | ||||
\(755\) | −34.2132 | − | 24.8573i | −1.24514 | − | 0.904650i | ||||
\(756\) | 2.30808 | + | 1.29336i | 0.0839440 | + | 0.0470389i | ||||
\(757\) | −3.87785 | + | 11.9348i | −0.140943 | + | 0.433777i | −0.996467 | − | 0.0839857i | \(-0.973235\pi\) |
0.855524 | + | 0.517763i | \(0.173235\pi\) | |||||||
\(758\) | 23.5625i | 0.855829i | ||||||||
\(759\) | 2.94875 | − | 3.28738i | 0.107033 | − | 0.119324i | ||||
\(760\) | −26.7269 | −0.969488 | ||||||||
\(761\) | −5.19652 | + | 15.9933i | −0.188374 | + | 0.579755i | −0.999990 | − | 0.00443571i | \(-0.998588\pi\) |
0.811616 | + | 0.584191i | \(0.198588\pi\) | |||||||
\(762\) | −6.20724 | − | 8.54353i | −0.224864 | − | 0.309499i | ||||
\(763\) | 5.03413 | − | 25.2747i | 0.182248 | − | 0.915005i | ||||
\(764\) | 1.50577 | + | 4.63429i | 0.0544770 | + | 0.167663i | ||||
\(765\) | 13.8510 | − | 4.50047i | 0.500785 | − | 0.162715i | ||||
\(766\) | 10.8240 | + | 7.86412i | 0.391088 | + | 0.284142i | ||||
\(767\) | −6.26105 | − | 8.61759i | −0.226073 | − | 0.311163i | ||||
\(768\) | 0.951057 | + | 0.309017i | 0.0343183 | + | 0.0111507i | ||||
\(769\) | −1.89877 | −0.0684712 | −0.0342356 | − | 0.999414i | \(-0.510900\pi\) | ||||
−0.0342356 | + | 0.999414i | \(0.510900\pi\) | |||||||
\(770\) | −0.432905 | − | 29.4004i | −0.0156008 | − | 1.05952i | ||||
\(771\) | −13.1102 | −0.472151 | ||||||||
\(772\) | 23.3253 | + | 7.57885i | 0.839496 | + | 0.272769i | ||||
\(773\) | 21.9537 | + | 30.2167i | 0.789620 | + | 1.08682i | 0.994155 | + | 0.107960i | \(0.0344318\pi\) |
−0.204535 | + | 0.978859i | \(0.565568\pi\) | |||||||
\(774\) | −6.09226 | − | 4.42628i | −0.218982 | − | 0.159099i | ||||
\(775\) | −25.9024 | + | 8.41620i | −0.930442 | + | 0.302319i | ||||
\(776\) | −1.10769 | − | 3.40913i | −0.0397639 | − | 0.122381i | ||||
\(777\) | −3.02771 | + | 15.2011i | −0.108618 | + | 0.545337i | ||||
\(778\) | −10.1404 | − | 13.9570i | −0.363550 | − | 0.500383i | ||||
\(779\) | 10.4167 | − | 32.0593i | 0.373217 | − | 1.14864i | ||||
\(780\) | −13.6226 | −0.487768 | ||||||||
\(781\) | 31.5970 | − | 18.3221i | 1.13063 | − | 0.655617i | ||||
\(782\) | 5.78714i | 0.206948i | ||||||||
\(783\) | −2.67194 | + | 8.22339i | −0.0954874 | + | 0.293880i | ||||
\(784\) | −0.552761 | + | 6.97814i | −0.0197415 | + | 0.249219i | ||||
\(785\) | −0.175804 | − | 0.127729i | −0.00627470 | − | 0.00455884i | ||||
\(786\) | 0.454642 | + | 1.39924i | 0.0162165 | + | 0.0499094i | ||||
\(787\) | 13.7204 | + | 42.2270i | 0.489078 | + | 1.50523i | 0.825986 | + | 0.563691i | \(0.190619\pi\) |
−0.336907 | + | 0.941538i | \(0.609381\pi\) | |||||||
\(788\) | −2.13614 | + | 2.94015i | −0.0760969 | + | 0.104738i | ||||
\(789\) | −2.93921 | + | 2.13546i | −0.104639 | + | 0.0760245i | ||||
\(790\) | −26.8167 | − | 8.71328i | −0.954097 | − | 0.310005i | ||||
\(791\) | 28.5931 | − | 13.1728i | 1.01666 | − | 0.468371i | ||||
\(792\) | −1.66373 | − | 2.86915i | −0.0591181 | − | 0.101951i | ||||
\(793\) | 27.7819 | 0.986565 | ||||||||
\(794\) | −5.04137 | + | 15.5157i | −0.178911 | + | 0.550633i | ||||
\(795\) | 35.3128 | − | 25.6563i | 1.25242 | − | 0.909934i | ||||
\(796\) | −5.81354 | + | 8.00165i | −0.206055 | + | 0.283611i | ||||
\(797\) | −43.7952 | + | 14.2299i | −1.55131 | + | 0.504050i | −0.954468 | − | 0.298312i | \(-0.903576\pi\) |
−0.596838 | + | 0.802362i | \(0.703576\pi\) | |||||||
\(798\) | −14.3208 | − | 15.5000i | −0.506950 | − | 0.548695i | ||||
\(799\) | 7.29749 | − | 10.0441i | 0.258167 | − | 0.355336i | ||||
\(800\) | 3.66084 | + | 5.03871i | 0.129430 | + | 0.178145i | ||||
\(801\) | 8.53016 | + | 2.77162i | 0.301398 | + | 0.0979303i | ||||
\(802\) | − | 14.3005i | − | 0.504967i | ||||||
\(803\) | −10.3316 | + | 23.3235i | −0.364593 | + | 0.823067i | ||||
\(804\) | 1.42737i | 0.0503396i | ||||||||
\(805\) | −11.7230 | + | 1.38449i | −0.413182 | + | 0.0487968i | ||||
\(806\) | 14.3825 | − | 10.4495i | 0.506603 | − | 0.368069i | ||||
\(807\) | 2.57265 | + | 1.86914i | 0.0905617 | + | 0.0657970i | ||||
\(808\) | −9.02160 | + | 2.93130i | −0.317379 | + | 0.103123i | ||||
\(809\) | −48.7918 | + | 15.8534i | −1.71543 | + | 0.557377i | −0.991222 | − | 0.132206i | \(-0.957794\pi\) |
−0.724207 | + | 0.689583i | \(0.757794\pi\) | |||||||
\(810\) | 2.71089 | + | 1.96958i | 0.0952511 | + | 0.0692040i | ||||
\(811\) | 10.5956 | − | 7.69812i | 0.372060 | − | 0.270318i | −0.386004 | − | 0.922497i | \(-0.626145\pi\) |
0.758065 | + | 0.652179i | \(0.226145\pi\) | |||||||
\(812\) | −22.7188 | + | 2.68310i | −0.797275 | + | 0.0941582i | ||||
\(813\) | 30.2080i | 1.05944i | ||||||||
\(814\) | 12.9739 | − | 14.4638i | 0.454734 | − | 0.506955i | ||||
\(815\) | − | 43.8568i | − | 1.53624i | ||||||
\(816\) | 4.13359 | + | 1.34308i | 0.144704 | + | 0.0470173i | ||||
\(817\) | 35.3048 | + | 48.5929i | 1.23516 | + | 1.70005i | ||||
\(818\) | 10.5089 | − | 14.4643i | 0.367435 | − | 0.505731i | ||||
\(819\) | −7.29924 | − | 7.90030i | −0.255056 | − | 0.276059i | ||||
\(820\) | −13.4683 | + | 4.37613i | −0.470335 | + | 0.152821i | ||||
\(821\) | −17.0606 | + | 23.4820i | −0.595421 | + | 0.819526i | −0.995279 | − | 0.0970505i | \(-0.969059\pi\) |
0.399859 | + | 0.916577i | \(0.369059\pi\) | |||||||
\(822\) | 7.43318 | − | 5.40052i | 0.259262 | − | 0.188365i | ||||
\(823\) | −10.8010 | + | 33.2420i | −0.376498 | + | 1.15874i | 0.565964 | + | 0.824430i | \(0.308504\pi\) |
−0.942462 | + | 0.334312i | \(0.891496\pi\) | |||||||
\(824\) | 13.1666 | 0.458680 | ||||||||
\(825\) | 2.12042 | − | 20.5474i | 0.0738234 | − | 0.715370i | ||||
\(826\) | −6.29617 | + | 2.90064i | −0.219072 | + | 0.100926i | ||||
\(827\) | −5.30991 | − | 1.72530i | −0.184644 | − | 0.0599944i | 0.215236 | − | 0.976562i | \(-0.430948\pi\) |
−0.399879 | + | 0.916568i | \(0.630948\pi\) | |||||||
\(828\) | −1.07721 | + | 0.782639i | −0.0374357 | + | 0.0271986i | ||||
\(829\) | 3.11236 | − | 4.28379i | 0.108097 | − | 0.148782i | −0.751541 | − | 0.659686i | \(-0.770689\pi\) |
0.859638 | + | 0.510904i | \(0.170689\pi\) | |||||||
\(830\) | −16.9244 | − | 52.0879i | −0.587454 | − | 1.80800i | ||||
\(831\) | 7.10188 | + | 21.8573i | 0.246361 | + | 0.758222i | ||||
\(832\) | −3.28900 | − | 2.38960i | −0.114025 | − | 0.0828443i | ||||
\(833\) | −2.40247 | + | 30.3292i | −0.0832407 | + | 1.05084i | ||||
\(834\) | 0.248997 | − | 0.766334i | 0.00862206 | − | 0.0265360i | ||||
\(835\) | 5.31359i | 0.183884i | ||||||||
\(836\) | 5.54892 | + | 25.8655i | 0.191914 | + | 0.894576i | ||||
\(837\) | −4.37293 | −0.151150 | ||||||||
\(838\) | 5.75894 | − | 17.7242i | 0.198939 | − | 0.612272i | ||||
\(839\) | 8.33019 | + | 11.4655i | 0.287590 | + | 0.395834i | 0.928230 | − | 0.372008i | \(-0.121331\pi\) |
−0.640639 | + | 0.767842i | \(0.721331\pi\) | |||||||
\(840\) | −1.73179 | + | 8.69472i | −0.0597523 | + | 0.299996i | ||||
\(841\) | −14.1417 | − | 43.5237i | −0.487645 | − | 1.50082i | ||||
\(842\) | 12.8342 | − | 4.17009i | 0.442297 | − | 0.143711i | ||||
\(843\) | −13.7851 | − | 10.0155i | −0.474785 | − | 0.344951i | ||||
\(844\) | 3.76255 | + | 5.17870i | 0.129512 | + | 0.178258i | ||||
\(845\) | 11.2421 | + | 3.65279i | 0.386741 | + | 0.125660i | ||||
\(846\) | 2.85650 | 0.0982085 | ||||||||
\(847\) | −28.3629 | + | 6.52292i | −0.974559 | + | 0.224130i | ||||
\(848\) | 13.0263 | 0.447324 | ||||||||
\(849\) | −16.5324 | − | 5.37169i | −0.567389 | − | 0.184356i | ||||
\(850\) | 15.9111 | + | 21.8998i | 0.545747 | + | 0.751157i | ||||
\(851\) | −6.31067 | − | 4.58497i | −0.216327 | − | 0.157171i | ||||
\(852\) | −10.4737 | + | 3.40310i | −0.358822 | + | 0.116588i | ||||
\(853\) | −7.08231 | − | 21.7971i | −0.242494 | − | 0.746319i | −0.996039 | − | 0.0889222i | \(-0.971658\pi\) |
0.753545 | − | 0.657396i | \(-0.228342\pi\) | |||||||
\(854\) | 3.53180 | − | 17.7320i | 0.120856 | − | 0.606776i | ||||
\(855\) | −15.7097 | − | 21.6226i | −0.537261 | − | 0.739476i | ||||
\(856\) | 4.78943 | − | 14.7404i | 0.163699 | − | 0.503815i | ||||
\(857\) | 1.97573 | 0.0674897 | 0.0337448 | − | 0.999430i | \(-0.489257\pi\) | ||||
0.0337448 | + | 0.999430i | \(0.489257\pi\) | |||||||
\(858\) | 2.82826 | + | 13.1835i | 0.0965554 | + | 0.450078i | ||||
\(859\) | − | 16.0866i | − | 0.548867i | −0.961606 | − | 0.274433i | \(-0.911510\pi\) | ||
0.961606 | − | 0.274433i | \(-0.0884902\pi\) | |||||||
\(860\) | 7.79754 | − | 23.9984i | 0.265894 | − | 0.818337i | ||||
\(861\) | −9.75447 | − | 5.46602i | −0.332432 | − | 0.186282i | ||||
\(862\) | −25.5043 | − | 18.5300i | −0.868680 | − | 0.631133i | ||||
\(863\) | 2.70910 | + | 8.33775i | 0.0922188 | + | 0.283820i | 0.986519 | − | 0.163647i | \(-0.0523259\pi\) |
−0.894300 | + | 0.447468i | \(0.852326\pi\) | |||||||
\(864\) | 0.309017 | + | 0.951057i | 0.0105130 | + | 0.0323556i | ||||
\(865\) | −15.4109 | + | 21.2113i | −0.523986 | + | 0.721205i | ||||
\(866\) | −29.7196 | + | 21.5925i | −1.00991 | + | 0.733745i | ||||
\(867\) | 1.79789 | + | 0.584171i | 0.0610597 | + | 0.0198395i | ||||
\(868\) | −4.84109 | − | 10.5082i | −0.164317 | − | 0.356670i | ||||
\(869\) | −2.86487 | + | 27.7614i | −0.0971839 | + | 0.941740i | ||||
\(870\) | −28.9734 | −0.982291 | ||||||||
\(871\) | 1.79319 | − | 5.51886i | 0.0607598 | − | 0.187000i | ||||
\(872\) | 7.88030 | − | 5.72537i | 0.266861 | − | 0.193886i | ||||
\(873\) | 2.10696 | − | 2.89998i | 0.0713098 | − | 0.0981495i | ||||
\(874\) | 10.1005 | − | 3.28186i | 0.341655 | − | 0.111011i | ||||
\(875\) | −7.99755 | + | 7.38909i | −0.270366 | + | 0.249797i | ||||
\(876\) | 4.52086 | − | 6.22243i | 0.152746 | − | 0.210236i | ||||
\(877\) | 28.2777 | + | 38.9209i | 0.954870 | + | 1.31427i | 0.949330 | + | 0.314281i | \(0.101763\pi\) |
0.00553948 | + | 0.999985i | \(0.498237\pi\) | |||||||
\(878\) | −15.9888 | − | 5.19507i | −0.539595 | − | 0.175325i | ||||
\(879\) | 2.68344i | 0.0905103i | ||||||||
\(880\) | 7.42079 | − | 8.27297i | 0.250155 | − | 0.278882i | ||||
\(881\) | − | 27.7281i | − | 0.934182i | −0.884209 | − | 0.467091i | \(-0.845302\pi\) | ||
0.884209 | − | 0.467091i | \(-0.154698\pi\) | |||||||
\(882\) | −5.97034 | + | 3.65446i | −0.201032 | + | 0.123052i | ||||
\(883\) | −32.0456 | + | 23.2825i | −1.07842 | + | 0.783518i | −0.977407 | − | 0.211367i | \(-0.932208\pi\) |
−0.101013 | + | 0.994885i | \(0.532208\pi\) | |||||||
\(884\) | −14.2950 | − | 10.3859i | −0.480793 | − | 0.349317i | ||||
\(885\) | −8.34994 | + | 2.71306i | −0.280680 | + | 0.0911986i | ||||
\(886\) | 8.02560 | − | 2.60768i | 0.269625 | − | 0.0876066i | ||||
\(887\) | 34.8003 | + | 25.2839i | 1.16848 | + | 0.848950i | 0.990826 | − | 0.135144i | \(-0.0431496\pi\) |
0.177653 | + | 0.984093i | \(0.443150\pi\) | |||||||
\(888\) | −4.73950 | + | 3.44345i | −0.159047 | + | 0.115555i | ||||
\(889\) | 27.7473 | − | 3.27696i | 0.930615 | − | 0.109906i | ||||
\(890\) | 30.0542i | 1.00742i | ||||||||
\(891\) | 1.34327 | − | 3.03243i | 0.0450013 | − | 0.101590i | ||||
\(892\) | 8.35995i | 0.279912i | ||||||||
\(893\) | −21.6688 | − | 7.04063i | −0.725119 | − | 0.235606i | ||||
\(894\) | −6.49235 | − | 8.93595i | −0.217137 | − | 0.298863i | ||||
\(895\) | 20.2363 | − | 27.8528i | 0.676424 | − | 0.931017i | ||||
\(896\) | −1.94329 | + | 1.79544i | −0.0649208 | + | 0.0599816i | ||||
\(897\) | 5.14820 | − | 1.67275i | 0.171893 | − | 0.0558515i | ||||
\(898\) | 19.3495 | − | 26.6323i | 0.645701 | − | 0.888731i | ||||
\(899\) | 30.5897 | − | 22.2247i | 1.02022 | − | 0.741235i | ||||
\(900\) | −1.92462 | + | 5.92336i | −0.0641538 | + | 0.197445i | ||||
\(901\) | 56.6162 | 1.88616 | ||||||||
\(902\) | 7.03131 | + | 12.1257i | 0.234117 | + | 0.403741i | ||||
\(903\) | 18.0957 | − | 8.33664i | 0.602186 | − | 0.277426i | ||||
\(904\) | 11.3165 | + | 3.67697i | 0.376383 | + | 0.122294i | ||||
\(905\) | 9.15866 | − | 6.65416i | 0.304444 | − | 0.221192i | ||||
\(906\) | 7.41822 | − | 10.2103i | 0.246454 | − | 0.339214i | ||||
\(907\) | −15.6556 | − | 48.1830i | −0.519835 | − | 1.59989i | −0.774308 | − | 0.632809i | \(-0.781902\pi\) |
0.254473 | − | 0.967080i | \(-0.418098\pi\) | |||||||
\(908\) | −4.72615 | − | 14.5456i | −0.156843 | − | 0.482712i | ||||
\(909\) | −7.67423 | − | 5.57565i | −0.254538 | − | 0.184933i | ||||
\(910\) | 17.6189 | − | 31.4421i | 0.584061 | − | 1.04229i | ||||
\(911\) | −18.2798 | + | 56.2593i | −0.605635 | + | 1.86395i | −0.113271 | + | 0.993564i | \(0.536133\pi\) |
−0.492364 | + | 0.870390i | \(0.663867\pi\) | |||||||
\(912\) | − | 7.97617i | − | 0.264117i | ||||||
\(913\) | −46.8952 | + | 27.1931i | −1.55200 | + | 0.899960i | ||||
\(914\) | −12.1857 | −0.403069 | ||||||||
\(915\) | 7.07610 | − | 21.7780i | 0.233929 | − | 0.719958i | ||||
\(916\) | −0.509439 | − | 0.701183i | −0.0168323 | − | 0.0231677i | ||||
\(917\) | −3.81758 | − | 0.760373i | −0.126068 | − | 0.0251097i | ||||
\(918\) | 1.34308 | + | 4.13359i | 0.0443284 | + | 0.136429i | ||||
\(919\) | 1.38918 | − | 0.451373i | 0.0458249 | − | 0.0148894i | −0.286015 | − | 0.958225i | \(-0.592331\pi\) |
0.331840 | + | 0.943336i | \(0.392331\pi\) | |||||||
\(920\) | −3.60957 | − | 2.62251i | −0.119004 | − | 0.0864614i | ||||
\(921\) | −16.3589 | − | 22.5161i | −0.539044 | − | 0.741931i | ||||
\(922\) | 16.7621 | + | 5.44634i | 0.552031 | + | 0.179366i | ||||
\(923\) | 44.7712 | 1.47366 | ||||||||
\(924\) | 8.77401 | − | 0.129193i | 0.288644 | − | 0.00425013i | ||||
\(925\) | −36.4868 | −1.19968 | ||||||||
\(926\) | −8.93421 | − | 2.90290i | −0.293596 | − | 0.0953952i | ||||
\(927\) | 7.73913 | + | 10.6520i | 0.254186 | + | 0.349857i | ||||
\(928\) | −6.99524 | − | 5.08234i | −0.229630 | − | 0.166836i | ||||
\(929\) | 15.5035 | − | 5.03739i | 0.508653 | − | 0.165271i | −0.0434367 | − | 0.999056i | \(-0.513831\pi\) |
0.552089 | + | 0.833785i | \(0.313831\pi\) | |||||||
\(930\) | −4.52803 | − | 13.9358i | −0.148480 | − | 0.456974i | ||||
\(931\) | 54.2972 | − | 13.0064i | 1.77952 | − | 0.426268i | ||||
\(932\) | 9.01905 | + | 12.4137i | 0.295429 | + | 0.406623i | ||||
\(933\) | 0.191781 | − | 0.590240i | 0.00627862 | − | 0.0193236i | ||||
\(934\) | 25.6746 | 0.840099 | ||||||||
\(935\) | 32.2530 | − | 35.9569i | 1.05479 | − | 1.17592i | ||||
\(936\) | − | 4.06542i | − | 0.132883i | ||||||
\(937\) | −3.92764 | + | 12.0880i | −0.128310 | + | 0.394899i | −0.994490 | − | 0.104835i | \(-0.966569\pi\) |
0.866179 | + | 0.499733i | \(0.166569\pi\) | |||||||
\(938\) | −3.29449 | − | 1.84610i | −0.107569 | − | 0.0602774i | ||||
\(939\) | 8.97227 | + | 6.51874i | 0.292799 | + | 0.212731i | ||||
\(940\) | 2.95782 | + | 9.10323i | 0.0964734 | + | 0.296915i | ||||
\(941\) | −0.949834 | − | 2.92329i | −0.0309637 | − | 0.0952965i | 0.934380 | − | 0.356277i | \(-0.115954\pi\) |
−0.965344 | + | 0.260981i | \(0.915954\pi\) | |||||||
\(942\) | 0.0381184 | − | 0.0524654i | 0.00124196 | − | 0.00170942i | ||||
\(943\) | 4.55254 | − | 3.30761i | 0.148251 | − | 0.107711i | ||||
\(944\) | −2.49189 | − | 0.809664i | −0.0811041 | − | 0.0263523i | ||||
\(945\) | −8.05210 | + | 3.70959i | −0.261935 | + | 0.120673i | ||||
\(946\) | −24.8437 | − | 2.56378i | −0.807739 | − | 0.0833556i | ||||
\(947\) | −28.0790 | −0.912444 | −0.456222 | − | 0.889866i | \(-0.650798\pi\) | ||||
−0.456222 | + | 0.889866i | \(0.650798\pi\) | |||||||
\(948\) | 2.60032 | − | 8.00297i | 0.0844545 | − | 0.259924i | ||||
\(949\) | −25.2968 | + | 18.3792i | −0.821169 | + | 0.596614i | ||||
\(950\) | 29.1995 | − | 40.1896i | 0.947356 | − | 1.30392i | ||||
\(951\) | 12.4952 | − | 4.05992i | 0.405183 | − | 0.131652i | ||||
\(952\) | −8.44615 | + | 7.80356i | −0.273741 | + | 0.252915i | ||||
\(953\) | 10.4437 | − | 14.3745i | 0.338304 | − | 0.465635i | −0.605641 | − | 0.795738i | \(-0.707083\pi\) |
0.943945 | + | 0.330103i | \(0.107083\pi\) | |||||||
\(954\) | 7.65665 | + | 10.5385i | 0.247893 | + | 0.341196i | ||||
\(955\) | −15.5288 | − | 5.04562i | −0.502501 | − | 0.163272i | ||||
\(956\) | − | 17.5479i | − | 0.567539i | ||||||
\(957\) | 6.01532 | + | 28.0395i | 0.194448 | + | 0.906389i | ||||
\(958\) | 13.5074i | 0.436405i | ||||||||
\(959\) | 2.85107 | + | 24.1412i | 0.0920659 | + | 0.779559i | ||||
\(960\) | −2.71089 | + | 1.96958i | −0.0874937 | + | 0.0635679i | ||||
\(961\) | −9.60911 | − | 6.98143i | −0.309971 | − | 0.225207i | ||||
\(962\) | 22.6510 | − | 7.35975i | 0.730297 | − | 0.237288i | ||||
\(963\) | 14.7404 | − | 4.78943i | 0.475001 | − | 0.154337i | ||||
\(964\) | −16.8309 | − | 12.2283i | −0.542086 | − | 0.393848i | ||||
\(965\) | −66.4865 | + | 48.3052i | −2.14027 | + | 1.55500i | ||||
\(966\) | −0.413175 | − | 3.49852i | −0.0132937 | − | 0.112563i | ||||
\(967\) | − | 1.58866i | − | 0.0510879i | −0.999674 | − | 0.0255440i | \(-0.991868\pi\) | ||
0.999674 | − | 0.0255440i | \(-0.00813178\pi\) | |||||||
\(968\) | −9.54698 | − | 5.46400i | −0.306851 | − | 0.175620i | ||||
\(969\) | − | 34.6669i | − | 1.11366i | ||||||
\(970\) | 11.4235 | + | 3.71172i | 0.366786 | + | 0.119176i | ||||
\(971\) | −16.1386 | − | 22.2129i | −0.517912 | − | 0.712845i | 0.467316 | − | 0.884090i | \(-0.345221\pi\) |
−0.985228 | + | 0.171245i | \(0.945221\pi\) | |||||||
\(972\) | −0.587785 | + | 0.809017i | −0.0188532 | + | 0.0259492i | ||||
\(973\) | 1.44672 | + | 1.56585i | 0.0463796 | + | 0.0501988i | ||||
\(974\) | −15.0943 | + | 4.90445i | −0.483654 | + | 0.157149i | ||||
\(975\) | 14.8828 | − | 20.4845i | 0.476633 | − | 0.656028i | ||||
\(976\) | 5.52859 | − | 4.01675i | 0.176966 | − | 0.128573i | ||||
\(977\) | 3.71451 | − | 11.4321i | 0.118838 | − | 0.365745i | −0.873890 | − | 0.486123i | \(-0.838411\pi\) |
0.992728 | + | 0.120378i | \(0.0384107\pi\) | |||||||
\(978\) | 13.0883 | 0.418517 | ||||||||
\(979\) | 29.0855 | − | 6.23972i | 0.929577 | − | 0.199422i | ||||
\(980\) | −17.8283 | − | 15.2425i | −0.569504 | − | 0.486903i | ||||
\(981\) | 9.26385 | + | 3.01001i | 0.295772 | + | 0.0961021i | ||||
\(982\) | 23.2333 | − | 16.8799i | 0.741403 | − | 0.538661i | ||||
\(983\) | 7.93650 | − | 10.9236i | 0.253135 | − | 0.348410i | −0.663471 | − | 0.748202i | \(-0.730917\pi\) |
0.916606 | + | 0.399792i | \(0.130917\pi\) | |||||||
\(984\) | −1.30598 | − | 4.01938i | −0.0416330 | − | 0.128133i | ||||
\(985\) | −3.76312 | − | 11.5817i | −0.119903 | − | 0.369024i | ||||
\(986\) | −30.4035 | − | 22.0894i | −0.968244 | − | 0.703470i | ||||
\(987\) | −3.69447 | + | 6.59303i | −0.117596 | + | 0.209858i | ||||
\(988\) | −10.0203 | + | 30.8395i | −0.318790 | + | 0.981134i | ||||
\(989\) | 10.0268i | 0.318834i | ||||||||
\(990\) | 11.0548 | + | 1.14081i | 0.351345 | + | 0.0362574i | ||||
\(991\) | −43.4002 | −1.37865 | −0.689327 | − | 0.724450i | \(-0.742094\pi\) | ||||
−0.689327 | + | 0.724450i | \(0.742094\pi\) | |||||||
\(992\) | 1.35131 | − | 4.15890i | 0.0429041 | − | 0.132045i | ||||
\(993\) | 9.63611 | + | 13.2630i | 0.305793 | + | 0.420887i | ||||
\(994\) | 5.69157 | − | 28.5755i | 0.180526 | − | 0.906359i | ||||
\(995\) | −10.2414 | − | 31.5198i | −0.324674 | − | 0.999244i | ||||
\(996\) | 15.5447 | − | 5.05077i | 0.492552 | − | 0.160040i | ||||
\(997\) | −15.7084 | − | 11.4128i | −0.497489 | − | 0.361447i | 0.310568 | − | 0.950551i | \(-0.399481\pi\) |
−0.808057 | + | 0.589104i | \(0.799481\pi\) | |||||||
\(998\) | −22.6391 | − | 31.1600i | −0.716627 | − | 0.986353i | ||||
\(999\) | −5.57162 | − | 1.81033i | −0.176278 | − | 0.0572762i |
(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 | 462.2.u.a.13.5 | ✓ | 32 | |
7.6 | odd | 2 | 462.2.u.b.13.8 | yes | 32 | ||
11.6 | odd | 10 | 462.2.u.b.391.8 | yes | 32 | ||
77.6 | even | 10 | inner | 462.2.u.a.391.5 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.u.a.13.5 | ✓ | 32 | 1.1 | even | 1 | trivial | |
462.2.u.a.391.5 | yes | 32 | 77.6 | even | 10 | inner | |
462.2.u.b.13.8 | yes | 32 | 7.6 | odd | 2 | ||
462.2.u.b.391.8 | yes | 32 | 11.6 | odd | 10 |