Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(85,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.85");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.bo (of order \(9\), degree \(6\), 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: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(54\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 169.9 | ||
Character | \(\chi\) | \(=\) | 756.169 |
Dual form | 756.2.bo.b.85.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 1.70918 | + | 0.280534i | 0.986796 | + | 0.161966i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.389665 | − | 2.20990i | −0.174264 | − | 0.988298i | −0.938990 | − | 0.343943i | \(-0.888237\pi\) |
0.764727 | − | 0.644354i | \(-0.222874\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.766044 | − | 0.642788i | −0.289538 | − | 0.242951i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.84260 | + | 0.958966i | 0.947534 | + | 0.319655i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.724451 | − | 4.10856i | 0.218430 | − | 1.23878i | −0.656424 | − | 0.754392i | \(-0.727932\pi\) |
0.874854 | − | 0.484387i | \(-0.160957\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.44929 | − | 1.61941i | −1.23401 | − | 0.449143i | −0.359042 | − | 0.933322i | \(-0.616896\pi\) |
−0.874969 | + | 0.484178i | \(0.839119\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.0460568 | − | 3.88643i | −0.0118918 | − | 1.00347i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.329574 | + | 0.570839i | 0.0799334 | + | 0.138449i | 0.903221 | − | 0.429176i | \(-0.141196\pi\) |
−0.823288 | + | 0.567624i | \(0.807863\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.77783 | − | 3.07929i | 0.407862 | − | 0.706438i | −0.586788 | − | 0.809741i | \(-0.699608\pi\) |
0.994650 | + | 0.103303i | \(0.0329411\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.12899 | − | 1.31354i | −0.246365 | − | 0.286638i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.105065 | + | 0.0881600i | −0.0219076 | + | 0.0183826i | −0.653676 | − | 0.756775i | \(-0.726774\pi\) |
0.631768 | + | 0.775157i | \(0.282329\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.0333580 | + | 0.0121413i | −0.00667160 | + | 0.00242827i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 4.58950 | + | 2.43649i | 0.883250 | + | 0.468903i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 5.61090 | − | 2.04220i | 1.04192 | − | 0.379227i | 0.236311 | − | 0.971678i | \(-0.424062\pi\) |
0.805607 | + | 0.592451i | \(0.201839\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.28536 | + | 5.27404i | −1.12888 | + | 0.947246i | −0.999019 | − | 0.0442860i | \(-0.985899\pi\) |
−0.129865 | + | 0.991532i | \(0.541454\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 2.39081 | − | 6.81905i | 0.416186 | − | 1.18704i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.12200 | + | 1.94335i | −0.189652 | + | 0.328487i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.43637 | − | 2.48786i | −0.236138 | − | 0.409002i | 0.723465 | − | 0.690361i | \(-0.242548\pi\) |
−0.959603 | + | 0.281359i | \(0.909215\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −7.15035 | − | 4.01604i | −1.14497 | − | 0.643081i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.747037 | + | 0.271899i | 0.116668 | + | 0.0424635i | 0.399694 | − | 0.916649i | \(-0.369116\pi\) |
−0.283027 | + | 0.959112i | \(0.591339\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.937735 | − | 5.31816i | 0.143003 | − | 0.811012i | −0.825945 | − | 0.563750i | \(-0.809358\pi\) |
0.968949 | − | 0.247262i | \(-0.0795308\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.01156 | − | 6.65554i | 0.150794 | − | 0.992150i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 3.78429 | + | 3.17540i | 0.551996 | + | 0.463179i | 0.875616 | − | 0.483008i | \(-0.160456\pi\) |
−0.323621 | + | 0.946187i | \(0.604900\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.173648 | + | 0.984808i | 0.0248069 | + | 0.140687i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.403162 | + | 1.06812i | 0.0564540 | + | 0.149567i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 2.53916 | 0.348781 | 0.174391 | − | 0.984677i | \(-0.444204\pi\) | ||||
0.174391 | + | 0.984677i | \(0.444204\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −9.36181 | −1.26235 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 3.90248 | − | 4.76433i | 0.516896 | − | 0.631050i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1.82277 | + | 10.3374i | 0.237304 | + | 1.34582i | 0.837706 | + | 0.546121i | \(0.183896\pi\) |
−0.600402 | + | 0.799698i | \(0.704993\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.84891 | + | 1.55142i | 0.236729 | + | 0.198639i | 0.753432 | − | 0.657525i | \(-0.228397\pi\) |
−0.516704 | + | 0.856164i | \(0.672841\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −1.56115 | − | 2.56180i | −0.196686 | − | 0.322756i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −1.84500 | + | 10.4635i | −0.228844 | + | 1.29784i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.21501 | + | 1.17017i | 0.392776 | + | 0.142959i | 0.530856 | − | 0.847462i | \(-0.321871\pi\) |
−0.138079 | + | 0.990421i | \(0.544093\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.204307 | + | 0.121207i | −0.0245957 | + | 0.0145916i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.20248 | + | 2.08276i | 0.142709 | + | 0.247179i | 0.928516 | − | 0.371293i | \(-0.121085\pi\) |
−0.785807 | + | 0.618472i | \(0.787752\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.09384 | − | 5.35868i | 0.362106 | − | 0.627186i | −0.626201 | − | 0.779661i | \(-0.715391\pi\) |
0.988307 | + | 0.152475i | \(0.0487245\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.0604210 | + | 0.0113937i | −0.00697681 | + | 0.00131563i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −3.19590 | + | 2.68167i | −0.364206 | + | 0.305605i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −11.0346 | + | 4.01628i | −1.24149 | + | 0.451866i | −0.877519 | − | 0.479543i | \(-0.840803\pi\) |
−0.363974 | + | 0.931409i | \(0.618580\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 7.16077 | + | 5.45192i | 0.795641 | + | 0.605768i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 12.1830 | − | 4.43423i | 1.33725 | − | 0.486720i | 0.428306 | − | 0.903634i | \(-0.359110\pi\) |
0.908946 | + | 0.416913i | \(0.136888\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.13307 | − | 0.950762i | 0.122899 | − | 0.103125i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 10.1629 | − | 1.91644i | 1.08958 | − | 0.205464i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −5.93261 | + | 10.2756i | −0.628856 | + | 1.08921i | 0.358926 | + | 0.933366i | \(0.383143\pi\) |
−0.987782 | + | 0.155844i | \(0.950190\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.36742 | + | 4.10049i | 0.248173 | + | 0.429848i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −12.2224 | + | 7.25104i | −1.26740 | + | 0.751898i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −7.49769 | − | 2.72893i | −0.769246 | − | 0.279983i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.18277 | − | 6.70779i | 0.120092 | − | 0.681073i | −0.864011 | − | 0.503473i | \(-0.832055\pi\) |
0.984103 | − | 0.177601i | \(-0.0568335\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 5.99930 | − | 10.9843i | 0.602952 | − | 1.10396i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 7.06952 | + | 5.93203i | 0.703444 | + | 0.590260i | 0.922751 | − | 0.385396i | \(-0.125935\pi\) |
−0.219307 | + | 0.975656i | \(0.570380\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.57504 | + | 14.6038i | 0.253726 | + | 1.43895i | 0.799321 | + | 0.600905i | \(0.205193\pi\) |
−0.545594 | + | 0.838049i | \(0.683696\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −2.46287 | + | 3.00679i | −0.240352 | + | 0.293432i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 6.34284 | 0.613186 | 0.306593 | − | 0.951841i | \(-0.400811\pi\) | ||||
0.306593 | + | 0.951841i | \(0.400811\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.19105 | −0.209864 | −0.104932 | − | 0.994479i | \(-0.533463\pi\) | ||||
−0.104932 | + | 0.994479i | \(0.533463\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.75709 | − | 4.65516i | −0.166775 | − | 0.441848i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1.61960 | − | 9.18519i | −0.152359 | − | 0.864070i | −0.961161 | − | 0.275989i | \(-0.910995\pi\) |
0.808802 | − | 0.588081i | \(-0.200116\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.235765 | + | 0.197830i | 0.0219852 | + | 0.0184478i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −11.0946 | − | 8.87005i | −1.02570 | − | 0.820037i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.114460 | − | 0.649134i | 0.0104925 | − | 0.0595060i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −6.01885 | − | 2.19068i | −0.547168 | − | 0.199153i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 1.20054 | + | 0.674294i | 0.108249 | + | 0.0607990i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −5.57015 | − | 9.64778i | −0.498209 | − | 0.862924i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.18166 | − | 10.7069i | 0.548533 | − | 0.950087i | −0.449842 | − | 0.893108i | \(-0.648520\pi\) |
0.998375 | − | 0.0569793i | \(-0.0181469\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 3.09468 | − | 8.82664i | 0.272472 | − | 0.777142i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 3.96590 | − | 3.32779i | 0.346503 | − | 0.290750i | −0.452881 | − | 0.891571i | \(-0.649604\pi\) |
0.799384 | + | 0.600821i | \(0.205159\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.34123 | + | 1.21611i | −0.289721 | + | 0.105450i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 3.59604 | − | 11.0918i | 0.309498 | − | 0.954626i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −3.18055 | + | 1.15763i | −0.271733 | + | 0.0989027i | −0.474293 | − | 0.880367i | \(-0.657296\pi\) |
0.202560 | + | 0.979270i | \(0.435074\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −16.0388 | + | 13.4581i | −1.36039 | + | 1.14150i | −0.384528 | + | 0.923113i | \(0.625636\pi\) |
−0.975862 | + | 0.218389i | \(0.929920\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 5.57723 | + | 6.48895i | 0.469688 | + | 0.546468i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −9.87674 | + | 17.1070i | −0.825934 | + | 1.43056i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.69943 | − | 11.6038i | −0.556357 | − | 0.963639i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.0205245 | + | 1.73193i | 0.00169283 | + | 0.142847i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −6.26273 | − | 2.27945i | −0.513063 | − | 0.186740i | 0.0724971 | − | 0.997369i | \(-0.476903\pi\) |
−0.585560 | + | 0.810629i | \(0.699125\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.30480 | + | 18.7425i | −0.268941 | + | 1.52524i | 0.488632 | + | 0.872490i | \(0.337496\pi\) |
−0.757573 | + | 0.652750i | \(0.773615\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0.389433 | + | 1.93872i | 0.0314838 | + | 0.156736i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 14.1043 | + | 11.8349i | 1.13288 | + | 0.950602i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.48569 | − | 19.7683i | −0.278188 | − | 1.57769i | −0.728648 | − | 0.684888i | \(-0.759851\pi\) |
0.450459 | − | 0.892797i | \(-0.351260\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 4.33989 | + | 0.712321i | 0.344176 | + | 0.0564907i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.137153 | 0.0108091 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −19.5218 | −1.52907 | −0.764533 | − | 0.644585i | \(-0.777030\pi\) | ||||
−0.764533 | + | 0.644585i | \(0.777030\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −16.0010 | − | 2.62630i | −1.24568 | − | 0.204457i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 2.87283 | + | 16.2926i | 0.222306 | + | 1.26076i | 0.867769 | + | 0.496968i | \(0.165553\pi\) |
−0.645463 | + | 0.763792i | \(0.723335\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 7.21512 | + | 6.05421i | 0.555009 | + | 0.465708i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 8.00660 | − | 7.04832i | 0.612280 | − | 0.538999i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −3.61178 | + | 20.4834i | −0.274599 | + | 1.55733i | 0.465635 | + | 0.884977i | \(0.345826\pi\) |
−0.740233 | + | 0.672350i | \(0.765285\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.0333580 | + | 0.0121413i | 0.00252163 | + | 0.000917798i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.215444 | + | 18.1799i | 0.0161937 | + | 1.36648i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 11.6046 | + | 20.0997i | 0.867366 | + | 1.50232i | 0.864678 | + | 0.502326i | \(0.167522\pi\) |
0.00268829 | + | 0.999996i | \(0.499144\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2.37943 | + | 4.12129i | −0.176861 | + | 0.306333i | −0.940804 | − | 0.338951i | \(-0.889928\pi\) |
0.763943 | + | 0.645284i | \(0.223261\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.72490 | + | 3.17034i | 0.201430 | + | 0.234358i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −4.93823 | + | 4.14367i | −0.363066 | + | 0.304648i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2.58409 | − | 0.940531i | 0.188967 | − | 0.0687785i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −1.94961 | − | 4.81653i | −0.141814 | − | 0.350351i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 10.3233 | − | 3.75738i | 0.746968 | − | 0.271874i | 0.0596388 | − | 0.998220i | \(-0.481005\pi\) |
0.687329 | + | 0.726346i | \(0.258783\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.18305 | − | 2.67089i | 0.229121 | − | 0.192255i | −0.520999 | − | 0.853557i | \(-0.674440\pi\) |
0.750119 | + | 0.661302i | \(0.229996\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −6.08881 | + | 17.3665i | −0.436029 | + | 1.24364i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 8.33244 | − | 14.4322i | 0.593662 | − | 1.02825i | −0.400072 | − | 0.916484i | \(-0.631015\pi\) |
0.993734 | − | 0.111769i | \(-0.0356516\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.979653 | + | 1.69681i | 0.0694457 | + | 0.120284i | 0.898657 | − | 0.438651i | \(-0.144544\pi\) |
−0.829212 | + | 0.558935i | \(0.811210\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 5.16677 | + | 2.90195i | 0.364436 | + | 0.204688i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −5.61090 | − | 2.04220i | −0.393808 | − | 0.143334i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.309776 | − | 1.75683i | 0.0216357 | − | 0.122702i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.383200 | + | 0.149850i | −0.0266343 | + | 0.0104153i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −11.3635 | − | 9.53512i | −0.786031 | − | 0.659558i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.11602 | + | 23.3431i | 0.283359 | + | 1.60701i | 0.711090 | + | 0.703101i | \(0.248202\pi\) |
−0.427731 | + | 0.903906i | \(0.640687\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 1.47098 | + | 3.89716i | 0.100790 | + | 0.267029i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −12.1180 | −0.826441 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 8.20495 | 0.556988 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 6.79122 | − | 8.29103i | 0.458908 | − | 0.560256i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.541949 | − | 3.07354i | −0.0364554 | − | 0.206749i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 21.6027 | + | 18.1268i | 1.44662 | + | 1.21386i | 0.934999 | + | 0.354649i | \(0.115400\pi\) |
0.511623 | + | 0.859210i | \(0.329045\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −0.106467 | + | 0.00252376i | −0.00709778 | + | 0.000168250i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 3.23644 | − | 18.3547i | 0.214810 | − | 1.21825i | −0.666426 | − | 0.745571i | \(-0.732177\pi\) |
0.881236 | − | 0.472676i | \(-0.156712\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −22.8729 | − | 8.32504i | −1.51148 | − | 0.550134i | −0.552478 | − | 0.833528i | \(-0.686318\pi\) |
−0.959004 | + | 0.283394i | \(0.908540\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −6.21466 | + | 3.68691i | −0.408895 | + | 0.242581i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 7.89990 | + | 13.6830i | 0.517540 | + | 0.896405i | 0.999792 | + | 0.0203732i | \(0.00648543\pi\) |
−0.482253 | + | 0.876032i | \(0.660181\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.54270 | − | 9.60025i | 0.361566 | − | 0.626251i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −19.9869 | + | 3.76896i | −1.29829 | + | 0.244820i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 20.3071 | − | 17.0397i | 1.31356 | − | 1.10221i | 0.325930 | − | 0.945394i | \(-0.394323\pi\) |
0.987628 | − | 0.156812i | \(-0.0501217\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2.19158 | − | 0.797671i | 0.141172 | − | 0.0513825i | −0.270468 | − | 0.962729i | \(-0.587178\pi\) |
0.411640 | + | 0.911347i | \(0.364956\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 10.7096 | + | 11.3271i | 0.687022 | + | 0.726637i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 2.10866 | − | 0.767490i | 0.134718 | − | 0.0490332i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −12.8967 | + | 10.8216i | −0.820598 | + | 0.688564i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 22.0668 | − | 4.16118i | 1.39843 | − | 0.263704i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −12.8194 | + | 22.2038i | −0.809152 | + | 1.40149i | 0.104300 | + | 0.994546i | \(0.466740\pi\) |
−0.913452 | + | 0.406946i | \(0.866594\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.286097 | + | 0.495534i | 0.0179867 | + | 0.0311539i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 2.20335 | − | 1.30716i | 0.137979 | − | 0.0818575i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −26.7053 | − | 9.71993i | −1.66583 | − | 0.606312i | −0.674567 | − | 0.738214i | \(-0.735670\pi\) |
−0.991263 | + | 0.131901i | \(0.957892\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.498846 | + | 2.82909i | −0.0309968 | + | 0.175791i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 17.9079 | − | 0.424502i | 1.10847 | − | 0.0262760i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 0.0336811 | + | 0.0282618i | 0.00207687 | + | 0.00174270i | 0.643825 | − | 0.765172i | \(-0.277346\pi\) |
−0.641749 | + | 0.766915i | \(0.721791\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.989424 | − | 5.61130i | −0.0607798 | − | 0.344699i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −13.0226 | + | 15.8985i | −0.796968 | + | 0.972975i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 1.31036 | 0.0798941 | 0.0399471 | − | 0.999202i | \(-0.487281\pi\) | ||||
0.0399471 | + | 0.999202i | \(0.487281\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −16.0504 | −0.974992 | −0.487496 | − | 0.873125i | \(-0.662090\pi\) | ||||
−0.487496 | + | 0.873125i | \(0.662090\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 2.89602 | + | 7.67262i | 0.175275 | + | 0.464368i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0.0257172 | + | 0.145849i | 0.00155080 | + | 0.00879505i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 13.0158 | + | 10.9216i | 0.782046 | + | 0.656214i | 0.943763 | − | 0.330623i | \(-0.107259\pi\) |
−0.161717 | + | 0.986837i | \(0.551703\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −22.9244 | + | 8.96456i | −1.37245 | + | 0.536694i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 4.41685 | − | 25.0492i | 0.263487 | − | 1.49431i | −0.509822 | − | 0.860280i | \(-0.670289\pi\) |
0.773309 | − | 0.634029i | \(-0.218600\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −13.0614 | − | 4.75398i | −0.776422 | − | 0.282595i | −0.0767423 | − | 0.997051i | \(-0.524452\pi\) |
−0.699680 | + | 0.714456i | \(0.746674\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −12.0493 | − | 6.76760i | −0.713742 | − | 0.400878i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.397490 | − | 0.688473i | −0.0234631 | − | 0.0406393i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.28276 | − | 14.3462i | 0.487221 | − | 0.843892i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 3.90332 | − | 11.1330i | 0.228817 | − | 0.652630i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 11.0500 | − | 9.27202i | 0.645546 | − | 0.541677i | −0.260170 | − | 0.965563i | \(-0.583779\pi\) |
0.905716 | + | 0.423885i | \(0.139334\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 22.1344 | − | 8.05627i | 1.28872 | − | 0.469054i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 13.3353 | − | 17.0911i | 0.773795 | − | 0.991728i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0.610232 | − | 0.222106i | 0.0352906 | − | 0.0128447i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.13680 | + | 3.47118i | −0.238441 | + | 0.200076i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 10.4190 | + | 12.1222i | 0.598554 | + | 0.696400i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 2.70803 | − | 4.69044i | 0.155061 | − | 0.268574i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3.52983 | + | 6.11384i | 0.201458 | + | 0.348935i | 0.948998 | − | 0.315281i | \(-0.102099\pi\) |
−0.747540 | + | 0.664216i | \(0.768765\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.304359 | + | 25.6829i | 0.0173144 | + | 1.46105i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −16.9115 | − | 6.15529i | −0.958965 | − | 0.349035i | −0.185337 | − | 0.982675i | \(-0.559338\pi\) |
−0.773628 | + | 0.633640i | \(0.781560\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5.08431 | + | 28.8346i | −0.287382 | + | 1.62983i | 0.409268 | + | 0.912414i | \(0.365784\pi\) |
−0.696650 | + | 0.717411i | \(0.745327\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −5.05300 | + | 4.44823i | −0.284704 | + | 0.250629i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −18.3830 | − | 15.4252i | −1.03249 | − | 0.866365i | −0.0413480 | − | 0.999145i | \(-0.513165\pi\) |
−0.991146 | + | 0.132780i | \(0.957610\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.32569 | − | 24.5322i | −0.242192 | − | 1.37354i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 10.8411 | + | 1.77938i | 0.605089 | + | 0.0993153i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 2.34371 | 0.130407 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.168081 | 0.00932347 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −3.74489 | − | 0.614662i | −0.207093 | − | 0.0339909i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −0.857829 | − | 4.86499i | −0.0472936 | − | 0.268216i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −20.4863 | − | 17.1901i | −1.12603 | − | 0.944852i | −0.127137 | − | 0.991885i | \(-0.540579\pi\) |
−0.998893 | + | 0.0470331i | \(0.985023\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −1.69725 | − | 8.44943i | −0.0930086 | − | 0.463026i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 1.33318 | − | 7.56083i | 0.0728393 | − | 0.413092i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.09662 | − | 1.49105i | −0.223157 | − | 0.0812225i | 0.228022 | − | 0.973656i | \(-0.426774\pi\) |
−0.451179 | + | 0.892434i | \(0.648996\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −0.191430 | − | 16.1535i | −0.0103970 | − | 0.877338i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 17.1153 | + | 29.6446i | 0.926846 | + | 1.60534i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0.500000 | − | 0.866025i | 0.0269975 | − | 0.0467610i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.347467 | + | 0.404268i | 0.0187070 | + | 0.0217650i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 21.1934 | − | 17.7833i | 1.13772 | − | 0.954660i | 0.138358 | − | 0.990382i | \(-0.455818\pi\) |
0.999362 | + | 0.0357223i | \(0.0113732\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 29.7165 | − | 10.8159i | 1.59069 | − | 0.578963i | 0.613195 | − | 0.789932i | \(-0.289884\pi\) |
0.977493 | + | 0.210969i | \(0.0676618\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −16.4743 | − | 18.2729i | −0.879335 | − | 0.975337i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 5.18178 | − | 1.88601i | 0.275798 | − | 0.100382i | −0.200418 | − | 0.979710i | \(-0.564230\pi\) |
0.476217 | + | 0.879328i | \(0.342008\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 4.13414 | − | 3.46895i | 0.219417 | − | 0.184113i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.377737 | − | 1.07738i | 0.0199919 | − | 0.0570209i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 5.32457 | − | 9.22243i | 0.281020 | − | 0.486741i | −0.690616 | − | 0.723222i | \(-0.742661\pi\) |
0.971636 | + | 0.236480i | \(0.0759939\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3.17864 | + | 5.50557i | 0.167297 | + | 0.289767i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −9.67275 | − | 5.43276i | −0.507688 | − | 0.285146i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −13.0477 | − | 4.74898i | −0.682948 | − | 0.248573i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.36599 | − | 19.0895i | 0.175703 | − | 0.996462i | −0.761626 | − | 0.648017i | \(-0.775599\pi\) |
0.937329 | − | 0.348445i | \(-0.113290\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 1.86279 | + | 1.48928i | 0.0969727 | + | 0.0775290i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −1.94511 | − | 1.63214i | −0.100985 | − | 0.0847367i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2.48984 | + | 14.1206i | 0.128919 | + | 0.731137i | 0.978903 | + | 0.204328i | \(0.0655008\pi\) |
−0.849983 | + | 0.526809i | \(0.823388\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −6.81387 | − | 18.0524i | −0.351867 | − | 0.932223i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −28.2717 | −1.45607 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 16.5576 | 0.850507 | 0.425253 | − | 0.905074i | \(-0.360185\pi\) | ||||
0.425253 | + | 0.905074i | \(0.360185\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 13.5692 | − | 16.5659i | 0.695173 | − | 0.848699i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −2.44240 | − | 13.8516i | −0.124801 | − | 0.707782i | −0.981426 | − | 0.191842i | \(-0.938554\pi\) |
0.856625 | − | 0.515940i | \(-0.172557\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 7.17156 | + | 6.01766i | 0.365497 | + | 0.306688i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 7.76554 | − | 14.2182i | 0.394745 | − | 0.722750i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 4.29093 | − | 24.3351i | 0.217559 | − | 1.23384i | −0.658852 | − | 0.752272i | \(-0.728958\pi\) |
0.876411 | − | 0.481564i | \(-0.159931\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.0849518 | − | 0.0309199i | −0.00429620 | − | 0.00156369i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 7.71201 | − | 4.57522i | 0.389019 | − | 0.230790i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 13.1754 | + | 22.8204i | 0.662925 | + | 1.14822i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 7.37799 | − | 12.7791i | 0.370291 | − | 0.641362i | −0.619319 | − | 0.785139i | \(-0.712591\pi\) |
0.989610 | + | 0.143777i | \(0.0459247\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −6.05192 | + | 1.14122i | −0.302975 | + | 0.0571325i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 7.69453 | − | 6.45648i | 0.384246 | − | 0.322421i | −0.430120 | − | 0.902772i | \(-0.641529\pi\) |
0.814367 | + | 0.580351i | \(0.197084\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 36.5062 | − | 13.2872i | 1.81850 | − | 0.661881i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 9.25789 | − | 17.9490i | 0.460028 | − | 0.891893i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −11.2621 | + | 4.09908i | −0.558243 | + | 0.203184i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 10.0627 | − | 8.44360i | 0.497568 | − | 0.417509i | −0.359161 | − | 0.933275i | \(-0.616937\pi\) |
0.856729 | + | 0.515766i | \(0.172493\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −5.76090 | + | 1.08634i | −0.284164 | + | 0.0535853i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 5.24845 | − | 9.09059i | 0.258259 | − | 0.447319i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −14.5465 | − | 25.1952i | −0.714059 | − | 1.23679i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −31.1886 | + | 18.5030i | −1.52731 | + | 0.906093i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −7.15156 | − | 2.60295i | −0.349376 | − | 0.127163i | 0.161370 | − | 0.986894i | \(-0.448409\pi\) |
−0.510747 | + | 0.859731i | \(0.670631\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.0575341 | + | 0.326292i | −0.00280404 | + | 0.0159025i | −0.986178 | − | 0.165691i | \(-0.947014\pi\) |
0.983374 | + | 0.181594i | \(0.0581256\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 7.71213 | + | 12.6554i | 0.374977 | + | 0.615326i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −0.0179247 | − | 0.0150406i | −0.000869475 | − | 0.000729576i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.419114 | − | 2.37691i | −0.0202823 | − | 0.115027i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −21.6802 | + | 26.4682i | −1.04673 | + | 1.27790i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −14.1982 | −0.683903 | −0.341952 | − | 0.939718i | \(-0.611088\pi\) | ||||
−0.341952 | + | 0.939718i | \(0.611088\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 1.20852 | 0.0580778 | 0.0290389 | − | 0.999578i | \(-0.490755\pi\) | ||||
0.0290389 | + | 0.999578i | \(0.490755\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −8.19530 | − | 21.7123i | −0.392934 | − | 1.04103i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 0.0846827 | + | 0.480259i | 0.00405092 | + | 0.0229739i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −9.81113 | − | 8.23251i | −0.468259 | − | 0.392916i | 0.377900 | − | 0.925847i | \(-0.376646\pi\) |
−0.846159 | + | 0.532930i | \(0.821091\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −0.450784 | + | 2.96594i | −0.0214659 | + | 0.141235i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −6.39038 | + | 36.2416i | −0.303616 | + | 1.72189i | 0.326333 | + | 0.945255i | \(0.394187\pi\) |
−0.629949 | + | 0.776637i | \(0.716924\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 25.0198 | + | 9.10645i | 1.18605 | + | 0.431687i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −10.0647 | − | 5.65290i | −0.476043 | − | 0.267373i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −11.1010 | − | 19.2274i | −0.523887 | − | 0.907399i | −0.999613 | − | 0.0278059i | \(-0.991148\pi\) |
0.475726 | − | 0.879593i | \(-0.342185\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.65831 | − | 2.87227i | 0.0780866 | − | 0.135250i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −10.9064 | + | 31.1072i | −0.512427 | + | 1.46154i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 8.13917 | − | 6.82958i | 0.381570 | − | 0.320175i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 33.9936 | − | 12.3727i | 1.59015 | − | 0.578769i | 0.612774 | − | 0.790258i | \(-0.290054\pi\) |
0.977380 | + | 0.211489i | \(0.0678313\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0.121735 | + | 3.42287i | 0.00568212 | + | 0.159766i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 18.0994 | − | 6.58763i | 0.842971 | − | 0.306817i | 0.115800 | − | 0.993273i | \(-0.463057\pi\) |
0.727171 | + | 0.686456i | \(0.240835\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 6.48139 | − | 5.43853i | 0.301216 | − | 0.252750i | −0.479634 | − | 0.877468i | \(-0.659231\pi\) |
0.780850 | + | 0.624718i | \(0.214786\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 20.7867 | + | 24.1847i | 0.963960 | + | 1.12154i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 1.73757 | − | 3.00957i | 0.0804054 | − | 0.139266i | −0.823019 | − | 0.568014i | \(-0.807712\pi\) |
0.903424 | + | 0.428748i | \(0.141045\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.71067 | − | 2.96297i | −0.0789915 | − | 0.136817i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −0.411994 | − | 34.7655i | −0.0189837 | − | 1.60191i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −21.1707 | − | 7.70549i | −0.973428 | − | 0.354299i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.0219182 | + | 0.124304i | −0.00100568 | + | 0.00570347i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 7.21783 | + | 2.43497i | 0.330482 | + | 0.111490i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 31.3025 | + | 26.2659i | 1.43025 | + | 1.20012i | 0.945567 | + | 0.325428i | \(0.105508\pi\) |
0.484680 | + | 0.874692i | \(0.338936\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.36195 | + | 13.3953i | 0.107696 | + | 0.610773i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0.234419 | + | 0.0384759i | 0.0106664 | + | 0.00175071i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −15.2844 | −0.694031 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 12.7621 | 0.578307 | 0.289153 | − | 0.957283i | \(-0.406626\pi\) | ||||
0.289153 | + | 0.957283i | \(0.406626\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −33.3663 | − | 5.47652i | −1.50888 | − | 0.247657i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −1.65692 | − | 9.39688i | −0.0747759 | − | 0.424075i | −0.999098 | − | 0.0424622i | \(-0.986480\pi\) |
0.924322 | − | 0.381613i | \(-0.124631\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 3.01497 | + | 2.52986i | 0.135788 | + | 0.113939i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −26.6119 | − | 8.97766i | −1.19612 | − | 0.403516i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0.417619 | − | 2.36843i | 0.0187328 | − | 0.106239i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 38.1274 | + | 13.8772i | 1.70682 | + | 0.621230i | 0.996572 | − | 0.0827269i | \(-0.0263629\pi\) |
0.710243 | + | 0.703957i | \(0.248585\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0.339556 | + | 28.6529i | 0.0151703 | + | 1.28012i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −14.5715 | − | 25.2386i | −0.649711 | − | 1.12533i | −0.983192 | − | 0.182575i | \(-0.941557\pi\) |
0.333481 | − | 0.942757i | \(-0.391777\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 10.3545 | − | 17.9345i | 0.460767 | − | 0.798073i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 10.6335 | + | 12.3718i | 0.472252 | + | 0.549452i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −12.0178 | + | 10.0841i | −0.532679 | + | 0.446971i | −0.869025 | − | 0.494768i | \(-0.835253\pi\) |
0.336346 | + | 0.941738i | \(0.390809\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.81451 | + | 2.11631i | −0.257219 | + | 0.0936199i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 15.6620 | − | 9.80074i | 0.691495 | − | 0.432713i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 31.2695 | − | 11.3812i | 1.37790 | − | 0.501514i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 15.7879 | − | 13.2476i | 0.694349 | − | 0.582628i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −11.9195 | + | 33.9967i | −0.523207 | + | 1.49229i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −14.7459 | + | 25.5406i | −0.646028 | + | 1.11895i | 0.338035 | + | 0.941134i | \(0.390238\pi\) |
−0.984063 | + | 0.177820i | \(0.943096\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 5.86587 | + | 10.1600i | 0.256497 | + | 0.444265i | 0.965301 | − | 0.261140i | \(-0.0840984\pi\) |
−0.708804 | + | 0.705405i | \(0.750765\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.0536089 | + | 0.0301098i | 0.00233968 | + | 0.00131410i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −5.08212 | − | 1.84974i | −0.221381 | − | 0.0805759i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.99064 | + | 22.6321i | −0.173506 | + | 0.984002i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −4.73184 | + | 31.1332i | −0.205344 | + | 1.35106i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −2.88347 | − | 2.41952i | −0.124897 | − | 0.104801i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −2.47158 | − | 14.0170i | −0.106856 | − | 0.606010i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 14.1957 | + | 37.6095i | 0.612589 | + | 1.62297i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 4.17195 | 0.179698 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 5.55402 | 0.238786 | 0.119393 | − | 0.992847i | \(-0.461905\pi\) | ||||
0.119393 | + | 0.992847i | \(0.461905\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −5.22303 | + | 6.37652i | −0.224142 | + | 0.273643i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0.853774 | + | 4.84199i | 0.0365716 | + | 0.207408i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 16.6714 | + | 13.9890i | 0.712818 | + | 0.598126i | 0.925388 | − | 0.379020i | \(-0.123739\pi\) |
−0.212570 | + | 0.977146i | \(0.568183\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 3.76796 | + | 6.18311i | 0.160812 | + | 0.263889i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.68669 | − | 20.9083i | 0.157058 | − | 0.890723i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 11.0346 | + | 4.01628i | 0.469240 | + | 0.170789i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −9.60277 | + | 5.69694i | −0.407615 | + | 0.241822i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −20.0541 | − | 34.7348i | −0.849721 | − | 1.47176i | −0.881457 | − | 0.472264i | \(-0.843437\pi\) |
0.0317365 | − | 0.999496i | \(-0.489896\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −12.7845 | + | 22.1435i | −0.540728 | + | 0.936569i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 4.68053 | − | 0.882615i | 0.197612 | − | 0.0372640i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −4.62638 | + | 3.88200i | −0.194979 | + | 0.163607i | −0.735051 | − | 0.678012i | \(-0.762842\pi\) |
0.540072 | + | 0.841619i | \(0.318397\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −19.6672 | + | 7.15829i | −0.827407 | + | 0.301152i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −1.98104 | − | 8.77926i | −0.0831960 | − | 0.368694i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −42.4698 | + | 15.4577i | −1.78043 | + | 0.648022i | −0.780694 | + | 0.624914i | \(0.785134\pi\) |
−0.999733 | + | 0.0231086i | \(0.992644\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −20.7441 | + | 17.4063i | −0.868112 | + | 0.728432i | −0.963700 | − | 0.266989i | \(-0.913971\pi\) |
0.0955878 | + | 0.995421i | \(0.469527\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 18.6985 | − | 3.52600i | 0.781140 | − | 0.147301i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.00243438 | − | 0.00421647i | 0.000101521 | − | 0.000175839i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −17.4393 | − | 30.2058i | −0.726010 | − | 1.25749i | −0.958557 | − | 0.284900i | \(-0.908039\pi\) |
0.232548 | − | 0.972585i | \(-0.425294\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 6.18968 | − | 3.67209i | 0.257234 | − | 0.152607i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −12.1830 | − | 4.43423i | −0.505434 | − | 0.183963i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.83950 | − | 10.4323i | 0.0761843 | − | 0.432063i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −15.2788 | + | 27.9743i | −0.631699 | + | 1.15660i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −8.37653 | − | 7.02874i | −0.345736 | − | 0.290107i | 0.453339 | − | 0.891338i | \(-0.350233\pi\) |
−0.799075 | + | 0.601231i | \(0.794677\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 5.06601 | + | 28.7308i | 0.208741 | + | 1.18383i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 18.2904 | − | 22.3297i | 0.752365 | − | 0.918523i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 3.70184 | 0.152016 | 0.0760082 | − | 0.997107i | \(-0.475782\pi\) | ||||
0.0760082 | + | 0.997107i | \(0.475782\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.47912 | −0.0606381 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 1.19839 | + | 3.17498i | 0.0490469 | + | 0.129943i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −3.77569 | − | 21.4130i | −0.154270 | − | 0.874911i | −0.959450 | − | 0.281880i | \(-0.909042\pi\) |
0.805179 | − | 0.593031i | \(-0.202069\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 4.44306 | + | 3.72817i | 0.181236 | + | 0.152075i | 0.728892 | − | 0.684628i | \(-0.240035\pi\) |
−0.547656 | + | 0.836703i | \(0.684480\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 8.01685 | + | 6.40941i | 0.326471 | + | 0.261011i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −2.49585 | + | 14.1547i | −0.101471 | + | 0.575470i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −19.4016 | − | 7.06161i | −0.787487 | − | 0.286622i | −0.0831961 | − | 0.996533i | \(-0.526513\pi\) |
−0.704291 | + | 0.709911i | \(0.748735\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −9.01714 | − | 5.06454i | −0.365393 | − | 0.205225i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −11.6951 | − | 20.2566i | −0.473135 | − | 0.819493i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −6.26954 | + | 10.8592i | −0.253224 | + | 0.438597i | −0.964412 | − | 0.264405i | \(-0.914824\pi\) |
0.711187 | + | 0.703002i | \(0.248158\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 1.02231 | − | 2.91583i | 0.0412236 | − | 0.117578i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 4.11956 | − | 3.45672i | 0.165847 | − | 0.139162i | −0.556087 | − | 0.831124i | \(-0.687698\pi\) |
0.721934 | + | 0.691962i | \(0.243253\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −40.0011 | + | 14.5592i | −1.60778 | + | 0.585184i | −0.980999 | − | 0.194011i | \(-0.937850\pi\) |
−0.626781 | + | 0.779195i | \(0.715628\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −0.696997 | + | 0.148620i | −0.0279695 | + | 0.00596393i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 11.1497 | − | 4.05815i | 0.446702 | − | 0.162586i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.2861 | + | 16.1830i | −0.771445 | + | 0.647319i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −16.7474 | − | 19.4851i | −0.668826 | − | 0.778160i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 0.946780 | − | 1.63987i | 0.0377506 | − | 0.0653859i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −1.94269 | − | 3.36484i | −0.0773372 | − | 0.133952i | 0.824763 | − | 0.565478i | \(-0.191308\pi\) |
−0.902100 | + | 0.431527i | \(0.857975\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0.486497 | + | 41.0523i | 0.0193365 | + | 1.63168i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −26.0700 | − | 9.48872i | −1.03456 | − | 0.376548i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.822196 | − | 4.66290i | 0.0325766 | − | 0.184751i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 1.42089 | + | 7.07361i | 0.0562093 | + | 0.279828i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 4.65667 | + | 3.90741i | 0.183927 | + | 0.154333i | 0.730103 | − | 0.683338i | \(-0.239472\pi\) |
−0.546175 | + | 0.837671i | \(0.683917\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 1.98712 | + | 11.2695i | 0.0783643 | + | 0.444426i | 0.998592 | + | 0.0530431i | \(0.0168921\pi\) |
−0.920228 | + | 0.391383i | \(0.871997\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −20.7119 | − | 3.39951i | −0.815529 | − | 0.133856i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −1.11757 | −0.0439360 | −0.0219680 | − | 0.999759i | \(-0.506993\pi\) | ||||
−0.0219680 | + | 0.999759i | \(0.506993\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 43.7925 | 1.71901 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 14.0238 | + | 2.30177i | 0.549634 | + | 0.0902133i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 8.40011 | + | 47.6394i | 0.328722 | + | 1.86427i | 0.482116 | + | 0.876107i | \(0.339868\pi\) |
−0.153394 | + | 0.988165i | \(0.549021\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −8.89946 | − | 7.46753i | −0.347731 | − | 0.291781i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 13.9333 | − | 12.2657i | 0.543591 | − | 0.478531i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 2.76692 | − | 15.6920i | 0.107784 | − | 0.611273i | −0.882288 | − | 0.470710i | \(-0.843998\pi\) |
0.990072 | − | 0.140563i | \(-0.0448912\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −42.9510 | − | 15.6329i | −1.67060 | − | 0.608048i | −0.678625 | − | 0.734485i | \(-0.737424\pi\) |
−0.991975 | + | 0.126437i | \(0.959646\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −0.0640561 | − | 5.40528i | −0.00248773 | − | 0.209924i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 3.98944 | + | 6.90991i | 0.154704 | + | 0.267955i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.409469 | + | 0.709220i | −0.0158547 | + | 0.0274611i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 31.8377 | + | 37.0423i | 1.23092 | + | 1.43214i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 7.71355 | − | 6.47244i | 0.297778 | − | 0.249866i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −28.2025 | + | 10.2649i | −1.08712 | + | 0.395681i | −0.822555 | − | 0.568686i | \(-0.807452\pi\) |
−0.264570 | + | 0.964367i | \(0.585230\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −0.182679 | − | 0.0255539i | −0.00703131 | − | 0.000983571i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 31.8213 | − | 11.5820i | 1.22299 | − | 0.445133i | 0.351801 | − | 0.936075i | \(-0.385569\pi\) |
0.871192 | + | 0.490942i | \(0.163347\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −5.21774 | + | 4.37820i | −0.200238 | + | 0.168020i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 10.6808 | − | 30.4637i | 0.409288 | − | 1.16737i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −6.13893 | + | 10.6329i | −0.234900 | + | 0.406858i | −0.959244 | − | 0.282581i | \(-0.908809\pi\) |
0.724344 | + | 0.689439i | \(0.242143\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.79759 | + | 6.57762i | 0.145098 | + | 0.251318i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −36.7584 | − | 20.6456i | −1.40242 | − | 0.787679i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −11.2975 | − | 4.11195i | −0.430400 | − | 0.156653i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 3.28717 | − | 18.6425i | 0.125050 | − | 0.709194i | −0.856228 | − | 0.516598i | \(-0.827198\pi\) |
0.981278 | − | 0.192596i | \(-0.0616907\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −11.6563 | + | 4.55818i | −0.442786 | + | 0.173151i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 35.9908 | + | 30.1999i | 1.36521 | + | 1.14555i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.0909933 | + | 0.516048i | 0.00344662 | + | 0.0195467i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 9.66382 | + | 25.6030i | 0.365519 | + | 0.968393i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 37.9263 | 1.43246 | 0.716228 | − | 0.697867i | \(-0.245867\pi\) | ||||
0.716228 | + | 0.697867i | \(0.245867\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −10.2145 | −0.385246 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 12.1667 | − | 14.8536i | 0.458224 | − | 0.559421i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −1.60253 | − | 9.08840i | −0.0602694 | − | 0.341805i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 17.1424 | + | 14.3842i | 0.643797 | + | 0.540210i | 0.905182 | − | 0.425025i | \(-0.139735\pi\) |
−0.261385 | + | 0.965235i | \(0.584179\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −35.2185 | + | 0.834843i | −1.32080 | + | 0.0313091i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0.195412 | − | 1.10823i | 0.00731822 | − | 0.0415037i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 41.6534 | + | 15.1606i | 1.55775 | + | 0.566974i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 39.4888 | − | 23.4271i | 1.47473 | − | 0.874901i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −0.290549 | − | 0.503245i | −0.0108356 | − | 0.0187679i | 0.860557 | − | 0.509355i | \(-0.170116\pi\) |
−0.871392 | + | 0.490587i | \(0.836782\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 7.41454 | − | 12.8424i | 0.276132 | − | 0.478274i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 3.96959 | − | 0.748551i | 0.147630 | − | 0.0278389i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −0.162373 | + | 0.136247i | −0.00603040 | + | 0.00506011i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −21.4772 | + | 7.81705i | −0.796544 | + | 0.289918i | −0.708054 | − | 0.706159i | \(-0.750427\pi\) |
−0.0884907 | + | 0.996077i | \(0.528204\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 15.1270 | + | 22.3646i | 0.560260 | + | 0.828317i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 3.34487 | − | 1.21743i | 0.123714 | − | 0.0450283i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 20.7441 | − | 17.4064i | 0.766202 | − | 0.642920i | −0.173531 | − | 0.984828i | \(-0.555518\pi\) |
0.939733 | + | 0.341908i | \(0.111073\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 3.81939 | − | 0.720229i | 0.140880 | − | 0.0265661i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 7.13683 | − | 12.3614i | 0.262889 | − | 0.455336i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 5.31515 | + | 9.20610i | 0.195521 | + | 0.338652i | 0.947071 | − | 0.321024i | \(-0.104027\pi\) |
−0.751550 | + | 0.659676i | \(0.770694\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −25.0787 | + | 14.8782i | −0.921287 | + | 0.546563i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −46.0289 | − | 16.7531i | −1.68863 | − | 0.614613i | −0.694182 | − | 0.719799i | \(-0.744234\pi\) |
−0.994453 | + | 0.105187i | \(0.966456\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.59699 | + | 14.7282i | −0.0951462 | + | 0.539601i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 38.8836 | − | 0.921721i | 1.42267 | − | 0.0337240i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −4.85890 | − | 4.07710i | −0.177540 | − | 0.148974i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 6.13951 | + | 34.8189i | 0.224034 | + | 1.27056i | 0.864524 | + | 0.502592i | \(0.167620\pi\) |
−0.640490 | + | 0.767967i | \(0.721269\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −28.1396 | + | 34.3541i | −1.02546 | + | 1.25193i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 42.7067 | 1.55426 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 11.5606 | 0.420176 | 0.210088 | − | 0.977682i | \(-0.432625\pi\) | ||||
0.210088 | + | 0.977682i | \(0.432625\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0.349977 | + | 0.927217i | 0.0127034 | + | 0.0336558i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 9.25585 | + | 52.4925i | 0.335524 | + | 1.90285i | 0.421995 | + | 0.906598i | \(0.361330\pi\) |
−0.0864711 | + | 0.996254i | \(0.527559\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1.67844 | + | 1.40838i | 0.0607635 | + | 0.0509867i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 4.13263 | − | 1.61606i | 0.149415 | − | 0.0584287i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 8.63051 | − | 48.9461i | 0.311630 | − | 1.76734i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 3.67996 | + | 1.33939i | 0.132703 | + | 0.0482998i | 0.407518 | − | 0.913197i | \(-0.366394\pi\) |
−0.274815 | + | 0.961497i | \(0.588617\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −42.9174 | − | 24.1049i | −1.54563 | − | 0.868115i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −1.93752 | − | 3.35588i | −0.0696877 | − | 0.120703i | 0.829076 | − | 0.559136i | \(-0.188867\pi\) |
−0.898764 | + | 0.438433i | \(0.855534\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.145633 | − | 0.252244i | 0.00523130 | − | 0.00906088i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −1.64627 | + | 4.69549i | −0.0590597 | + | 0.168450i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 2.16536 | − | 1.81695i | 0.0775821 | − | 0.0650991i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 9.42831 | − | 3.43163i | 0.337372 | − | 0.122793i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 30.7270 | + | 4.29823i | 1.09809 | + | 0.153606i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −42.3278 | + | 15.4061i | −1.51074 | + | 0.549866i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −39.1587 | + | 32.8581i | −1.39586 | + | 1.17126i | −0.432954 | + | 0.901416i | \(0.642529\pi\) |
−0.962903 | + | 0.269848i | \(0.913027\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0.0496388 | + | 0.0577533i | 0.00176719 | + | 0.00205607i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −4.66344 | + | 8.07732i | −0.165813 | + | 0.287196i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −5.71395 | − | 9.89686i | −0.202908 | − | 0.351448i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −0.116946 | − | 9.86830i | −0.00414764 | − | 0.349992i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 20.0884 | + | 7.31159i | 0.711568 | + | 0.258990i | 0.672342 | − | 0.740241i | \(-0.265288\pi\) |
0.0392264 | + | 0.999230i | \(0.487511\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.565436 | + | 3.20675i | −0.0200037 | + | 0.113447i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −26.7180 | + | 23.5202i | −0.944034 | + | 0.831047i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −19.7751 | − | 16.5933i | −0.697850 | − | 0.585565i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.0534436 | − | 0.303094i | −0.00188364 | − | 0.0106826i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 2.23964 | + | 0.367600i | 0.0788392 | + | 0.0129401i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −8.80808 | −0.309676 | −0.154838 | − | 0.987940i | \(-0.549485\pi\) | ||||
−0.154838 | + | 0.987940i | \(0.549485\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −18.4884 | −0.649215 | −0.324608 | − | 0.945849i | \(-0.605232\pi\) | ||||
−0.324608 | + | 0.945849i | \(0.605232\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −27.4330 | − | 4.50267i | −0.962118 | − | 0.157916i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 7.60697 | + | 43.1413i | 0.266460 | + | 1.51117i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −14.7090 | − | 12.3423i | −0.514604 | − | 0.431804i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 2.79740 | + | 13.9263i | 0.0977490 | + | 0.486625i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −5.08814 | + | 28.8563i | −0.177577 | + | 1.00709i | 0.757550 | + | 0.652778i | \(0.226396\pi\) |
−0.935127 | + | 0.354313i | \(0.884715\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −13.5921 | − | 4.94710i | −0.473789 | − | 0.172445i | 0.0940788 | − | 0.995565i | \(-0.470009\pi\) |
−0.567868 | + | 0.823120i | \(0.692232\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0.00303966 | + | 0.256498i | 0.000105828 | + | 0.00893010i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 9.54113 | + | 16.5257i | 0.331778 | + | 0.574656i | 0.982860 | − | 0.184351i | \(-0.0590183\pi\) |
−0.651083 | + | 0.759007i | \(0.725685\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 2.91554 | − | 5.04986i | 0.101261 | − | 0.175389i | −0.810944 | − | 0.585124i | \(-0.801046\pi\) |
0.912204 | + | 0.409735i | \(0.134379\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 19.1826 | + | 22.3183i | 0.665435 | + | 0.774215i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −0.504937 | + | 0.423692i | −0.0174950 | + | 0.0146801i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 34.8856 | − | 12.6973i | 1.20727 | − | 0.439409i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −41.6968 | + | 8.89099i | −1.44125 | + | 0.307317i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −18.0046 | + | 6.55312i | −0.621586 | + | 0.226239i | −0.633565 | − | 0.773689i | \(-0.718409\pi\) |
0.0119788 | + | 0.999928i | \(0.496187\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 5.09631 | − | 4.27631i | 0.175735 | − | 0.147459i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 14.5763 | − | 41.5745i | 0.502035 | − | 1.43190i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 10.5677 | − | 18.3038i | 0.363540 | − | 0.629670i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 3.20256 | + | 5.54700i | 0.110041 | + | 0.190597i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −20.9907 | − | 11.7896i | −0.720400 | − | 0.404617i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0.370242 | + | 0.134757i | 0.0126917 | + | 0.00461941i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 4.07927 | − | 23.1347i | 0.139672 | − | 0.792117i | −0.831820 | − | 0.555045i | \(-0.812701\pi\) |
0.971492 | − | 0.237072i | \(-0.0761878\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −18.6960 | − | 14.9473i | −0.639389 | − | 0.511187i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −23.4793 | − | 19.7014i | −0.802036 | − | 0.672988i | 0.146657 | − | 0.989187i | \(-0.453149\pi\) |
−0.948693 | + | 0.316199i | \(0.897593\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −5.69176 | − | 32.2796i | −0.194200 | − | 1.10137i | −0.913553 | − | 0.406720i | \(-0.866672\pi\) |
0.719352 | − | 0.694645i | \(-0.244439\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −0.486243 | − | 1.28823i | −0.0165711 | − | 0.0439029i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −26.5644 | −0.904263 | −0.452132 | − | 0.891951i | \(-0.649336\pi\) | ||||
−0.452132 | + | 0.891951i | \(0.649336\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 46.6737 | 1.58696 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 18.1813 | − | 22.1966i | 0.617470 | − | 0.753836i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 8.50709 | + | 48.2461i | 0.288583 | + | 1.63664i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −12.4095 | − | 10.4128i | −0.420481 | − | 0.352826i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 9.79468 | − | 17.9334i | 0.331500 | − | 0.606952i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −1.93449 | + | 10.9711i | −0.0653978 | + | 0.370889i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −0.284980 | − | 0.103724i | −0.00962307 | − | 0.00350251i | 0.337204 | − | 0.941432i | \(-0.390519\pi\) |
−0.346827 | + | 0.937929i | \(0.612741\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 21.4875 | − | 12.7477i | 0.724756 | − | 0.429969i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −8.69674 | − | 15.0632i | −0.293001 | − | 0.507492i | 0.681517 | − | 0.731802i | \(-0.261320\pi\) |
−0.974518 | + | 0.224310i | \(0.927987\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −23.7684 | + | 41.1681i | −0.799871 | + | 1.38542i | 0.119829 | + | 0.992795i | \(0.461765\pi\) |
−0.919700 | + | 0.392622i | \(0.871568\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 40.0918 | − | 7.56018i | 1.34767 | − | 0.254133i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 21.2988 | − | 17.8718i | 0.715142 | − | 0.600076i | −0.210895 | − | 0.977509i | \(-0.567638\pi\) |
0.926037 | + | 0.377433i | \(0.123193\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −11.6177 | + | 4.22850i | −0.389646 | + | 0.141819i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 27.5872 | − | 25.4708i | 0.924205 | − | 0.853305i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 16.5058 | − | 6.00762i | 0.552345 | − | 0.201037i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 39.8965 | − | 33.4771i | 1.33359 | − | 1.11902i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 1.10530 | − | 0.208429i | 0.0369051 | − | 0.00695925i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −24.4959 | + | 42.4281i | −0.816983 | + | 1.41506i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.836843 | + | 1.44945i | 0.0278793 | + | 0.0482883i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −8.04432 | + | 4.77237i | −0.267698 | + | 0.158815i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 10.0348 | + | 3.65237i | 0.333568 | + | 0.121409i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 0.141543 | − | 0.802731i | 0.00469986 | − | 0.0266542i | −0.982368 | − | 0.186959i | \(-0.940137\pi\) |
0.987068 | + | 0.160305i | \(0.0512478\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 14.4072 | + | 23.6418i | 0.477857 | + | 0.784150i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 7.71690 | + | 6.47525i | 0.255672 | + | 0.214535i | 0.761610 | − | 0.648035i | \(-0.224409\pi\) |
−0.505938 | + | 0.862570i | \(0.668854\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −9.39238 | − | 53.2668i | −0.310842 | − | 1.76287i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 5.94434 | − | 7.25712i | 0.196514 | − | 0.239913i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −5.17712 | −0.170964 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −37.4451 | −1.23520 | −0.617601 | − | 0.786492i | \(-0.711895\pi\) | ||||
−0.617601 | + | 0.786492i | \(0.711895\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 4.31798 | + | 11.4399i | 0.142282 | + | 0.376958i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −1.97736 | − | 11.2141i | −0.0650854 | − | 0.369118i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.0781204 | + | 0.0655508i | 0.00256858 | + | 0.00215530i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −6.68472 | + | 43.9821i | −0.219555 | + | 1.44456i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −1.21351 | + | 6.88214i | −0.0398139 | + | 0.225796i | −0.998222 | − | 0.0596054i | \(-0.981016\pi\) |
0.958408 | + | 0.285401i | \(0.0921269\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.34123 | + | 1.21611i | 0.109504 | + | 0.0398563i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −27.1781 | − | 15.2648i | −0.889771 | − | 0.499746i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −3.08541 | − | 5.34409i | −0.100904 | − | 0.174770i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 2.76071 | − | 4.78169i | 0.0901885 | − | 0.156211i | −0.817402 | − | 0.576068i | \(-0.804586\pi\) |
0.907590 | + | 0.419857i | \(0.137920\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −16.7791 | + | 47.8572i | −0.547564 | + | 1.56176i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 26.4546 | − | 22.1980i | 0.862394 | − | 0.723635i | −0.100088 | − | 0.994979i | \(-0.531912\pi\) |
0.962483 | + | 0.271344i | \(0.0874680\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.102458 | + | 0.0372917i | −0.00333649 | + | 0.00121438i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −9.88437 | + | 6.18529i | −0.321538 | + | 0.201207i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −54.3306 | + | 19.7747i | −1.76551 | + | 0.642592i | −1.00000 | 0.000833325i | \(-0.999735\pi\) | |
−0.765509 | + | 0.643426i | \(0.777513\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −22.4433 | + | 18.8321i | −0.728539 | + | 0.611317i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −27.0926 | − | 31.5215i | −0.878539 | − | 1.02215i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 18.0011 | − | 31.1788i | 0.583112 | − | 1.00998i | −0.411996 | − | 0.911186i | \(-0.635168\pi\) |
0.995108 | − | 0.0987942i | \(-0.0314986\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −12.3261 | − | 21.3494i | −0.398862 | − | 0.690849i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −0.511279 | − | 43.1435i | −0.0165273 | − | 1.39463i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 3.18055 | + | 1.15763i | 0.102705 | + | 0.0373817i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 6.30712 | − | 35.7694i | 0.203455 | − | 1.15385i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 18.0302 | + | 6.08257i | 0.581014 | + | 0.196008i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −7.14273 | − | 5.99346i | −0.229933 | − | 0.192936i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −1.27673 | − | 7.24071i | −0.0410569 | − | 0.232846i | 0.957373 | − | 0.288853i | \(-0.0932740\pi\) |
−0.998430 | + | 0.0560077i | \(0.982163\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 4.00582 | + | 0.657488i | 0.128685 | + | 0.0211216i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 24.6929 | 0.792432 | 0.396216 | − | 0.918157i | \(-0.370323\pi\) | ||||
0.396216 | + | 0.918157i | \(0.370323\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 20.9371 | 0.671213 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0.287281 | + | 0.0471525i | 0.00920037 | + | 0.00151009i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 7.94661 | + | 45.0674i | 0.254234 | + | 1.44184i | 0.798030 | + | 0.602618i | \(0.205876\pi\) |
−0.543796 | + | 0.839218i | \(0.683013\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 37.9200 | + | 31.8187i | 1.21193 | + | 1.01693i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −6.22827 | − | 2.10114i | −0.198853 | − | 0.0670841i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −6.28709 | + | 35.6558i | −0.200527 | + | 1.13724i | 0.703798 | + | 0.710400i | \(0.251486\pi\) |
−0.904325 | + | 0.426845i | \(0.859625\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −35.1406 | − | 12.7901i | −1.11967 | − | 0.407528i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −0.101392 | − | 8.55580i | −0.00322734 | − | 0.272334i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0.370326 | + | 0.641423i | 0.0117757 | + | 0.0203961i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −20.3445 | + | 35.2378i | −0.646266 | + | 1.11937i | 0.337742 | + | 0.941239i | \(0.390337\pi\) |
−0.984008 | + | 0.178126i | \(0.942996\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −30.1925 | − | 35.1281i | −0.958129 | − | 1.11476i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 3.36804 | − | 2.82612i | 0.106774 | − | 0.0895941i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −51.0089 | + | 18.5657i | −1.61547 | + | 0.587982i | −0.982511 | − | 0.186205i | \(-0.940381\pi\) |
−0.632957 | + | 0.774187i | \(0.718159\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −0.530554 | − | 14.9178i | −0.0167860 | − | 0.471977i |
(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 | 756.2.bo.b.169.9 | yes | 54 | |
27.4 | even | 9 | inner | 756.2.bo.b.85.9 | ✓ | 54 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.bo.b.85.9 | ✓ | 54 | 27.4 | even | 9 | inner | |
756.2.bo.b.169.9 | yes | 54 | 1.1 | even | 1 | trivial |