Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [585,2,Mod(289,585)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(585, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("585.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 585 = 3^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 585.bs (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.67124851824\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 289.15 | ||
Character | \(\chi\) | \(=\) | 585.289 |
Dual form | 585.2.bs.c.334.15 |
$q$-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 \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) | \(496\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.32723 | − | 1.34363i | 1.64560 | − | 0.950089i | 0.666811 | − | 0.745227i | \(-0.267659\pi\) |
0.978791 | − | 0.204862i | \(-0.0656746\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 2.61067 | − | 4.52182i | 1.30534 | − | 2.26091i | ||||
\(5\) | −2.23433 | − | 0.0881535i | −0.999223 | − | 0.0394234i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.14272 | + | 1.81445i | 1.18784 | + | 0.685798i | 0.957814 | − | 0.287388i | \(-0.0927869\pi\) |
0.230022 | + | 0.973185i | \(0.426120\pi\) | |||||||
\(8\) | − | 8.65659i | − | 3.06057i | ||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −5.31825 | + | 2.79696i | −1.68178 | + | 0.884475i | ||||
\(11\) | −1.80641 | − | 3.12879i | −0.544652 | − | 0.943366i | −0.998629 | − | 0.0523519i | \(-0.983328\pi\) |
0.453976 | − | 0.891014i | \(-0.350005\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.66311 | − | 3.19907i | 0.461264 | − | 0.887263i | ||||
\(14\) | 9.75179 | 2.60627 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −6.40989 | − | 11.1023i | −1.60247 | − | 2.77557i | ||||
\(17\) | 1.37732 | + | 0.795195i | 0.334049 | + | 0.192863i | 0.657637 | − | 0.753335i | \(-0.271556\pi\) |
−0.323589 | + | 0.946198i | \(0.604889\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.37378 | + | 4.11151i | −0.544583 | + | 0.943246i | 0.454050 | + | 0.890976i | \(0.349979\pi\) |
−0.998633 | + | 0.0522695i | \(0.983355\pi\) | |||||||
\(20\) | −6.23172 | + | 9.87310i | −1.39346 | + | 2.20769i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −8.40786 | − | 4.85428i | −1.79256 | − | 1.03494i | ||||
\(23\) | −3.63959 | + | 2.10132i | −0.758907 | + | 0.438155i | −0.828903 | − | 0.559392i | \(-0.811035\pi\) |
0.0699959 | + | 0.997547i | \(0.477701\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.98446 | + | 0.393928i | 0.996892 | + | 0.0787856i | ||||
\(26\) | −0.427922 | − | 9.67959i | −0.0839224 | − | 1.89832i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 16.4092 | − | 9.47388i | 3.10105 | − | 1.79039i | ||||
\(29\) | 2.32166 | + | 4.02124i | 0.431122 | + | 0.746725i | 0.996970 | − | 0.0777842i | \(-0.0247845\pi\) |
−0.565848 | + | 0.824509i | \(0.691451\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 7.07222 | 1.27021 | 0.635104 | − | 0.772426i | \(-0.280957\pi\) | ||||
0.635104 | + | 0.772426i | \(0.280957\pi\) | |||||||
\(32\) | −14.8410 | − | 8.56844i | −2.62354 | − | 1.51470i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.27378 | 0.732948 | ||||||||
\(35\) | −6.86192 | − | 4.33112i | −1.15988 | − | 0.732093i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −7.72556 | + | 4.46035i | −1.27007 | + | 0.733278i | −0.975002 | − | 0.222197i | \(-0.928677\pi\) |
−0.295072 | + | 0.955475i | \(0.595344\pi\) | |||||||
\(38\) | 12.7579i | 2.06961i | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.763109 | + | 19.3417i | −0.120658 | + | 3.05819i | ||||
\(41\) | 3.49741 | + | 6.05769i | 0.546203 | + | 0.946052i | 0.998530 | + | 0.0541995i | \(0.0172607\pi\) |
−0.452327 | + | 0.891852i | \(0.649406\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.42679 | − | 0.823755i | −0.217583 | − | 0.125621i | 0.387248 | − | 0.921976i | \(-0.373426\pi\) |
−0.604830 | + | 0.796354i | \(0.706759\pi\) | |||||||
\(44\) | −18.8638 | −2.84382 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −5.64678 | + | 9.78052i | −0.832573 | + | 1.44206i | ||||
\(47\) | 6.71359i | 0.979278i | 0.871925 | + | 0.489639i | \(0.162871\pi\) | ||||
−0.871925 | + | 0.489639i | \(0.837129\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.08446 | + | 5.34244i | 0.440637 | + | 0.763205i | ||||
\(50\) | 12.1293 | − | 5.78050i | 1.71534 | − | 0.817486i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −10.1238 | − | 15.8720i | −1.40392 | − | 2.20105i | ||||
\(53\) | − | 6.29507i | − | 0.864695i | −0.901707 | − | 0.432347i | \(-0.857685\pi\) | ||
0.901707 | − | 0.432347i | \(-0.142315\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.76030 | + | 7.14999i | 0.507038 | + | 0.964104i | ||||
\(56\) | 15.7070 | − | 27.2052i | 2.09893 | − | 3.63545i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 10.8061 | + | 6.23890i | 1.41891 | + | 0.819208i | ||||
\(59\) | 0.407233 | − | 0.705349i | 0.0530173 | − | 0.0918286i | −0.838299 | − | 0.545211i | \(-0.816449\pi\) |
0.891316 | + | 0.453382i | \(0.149783\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.29922 | + | 9.17852i | −0.678495 | + | 1.17519i | 0.296938 | + | 0.954897i | \(0.404034\pi\) |
−0.975434 | + | 0.220292i | \(0.929299\pi\) | |||||||
\(62\) | 16.4587 | − | 9.50244i | 2.09026 | − | 1.20681i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −20.4116 | −2.55145 | ||||||||
\(65\) | −3.99794 | + | 7.00117i | −0.495884 | + | 0.868389i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.53270 | − | 4.34901i | 0.920266 | − | 0.531316i | 0.0365463 | − | 0.999332i | \(-0.488364\pi\) |
0.883720 | + | 0.468016i | \(0.155031\pi\) | |||||||
\(68\) | 7.19146 | − | 4.15199i | 0.872092 | − | 0.503503i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −21.7887 | − | 0.859654i | −2.60425 | − | 0.102748i | ||||
\(71\) | 2.74958 | − | 4.76242i | 0.326316 | − | 0.565195i | −0.655462 | − | 0.755228i | \(-0.727526\pi\) |
0.981778 | + | 0.190033i | \(0.0608594\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.32903i | 0.155551i | 0.996971 | + | 0.0777755i | \(0.0247817\pi\) | ||||
−0.996971 | + | 0.0777755i | \(0.975218\pi\) | |||||||
\(74\) | −11.9861 | + | 20.7606i | −1.39336 | + | 2.41337i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 12.3944 | + | 21.4676i | 1.42173 | + | 2.46251i | ||||
\(77\) | − | 13.1105i | − | 1.49409i | ||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.22135 | −0.699956 | −0.349978 | − | 0.936758i | \(-0.613811\pi\) | ||||
−0.349978 | + | 0.936758i | \(0.613811\pi\) | |||||||
\(80\) | 13.3431 | + | 25.3712i | 1.49181 | + | 2.83658i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 16.2786 | + | 9.39843i | 1.79767 | + | 1.03788i | ||||
\(83\) | − | 6.63916i | − | 0.728743i | −0.931254 | − | 0.364371i | \(-0.881284\pi\) | ||
0.931254 | − | 0.364371i | \(-0.118716\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.00728 | − | 1.89814i | −0.326186 | − | 0.205882i | ||||
\(86\) | −4.42728 | −0.477406 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −27.0847 | + | 15.6373i | −2.88723 | + | 1.66695i | ||||
\(89\) | 6.68230 | + | 11.5741i | 0.708322 | + | 1.22685i | 0.965479 | + | 0.260481i | \(0.0838810\pi\) |
−0.257157 | + | 0.966370i | \(0.582786\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 11.0312 | − | 7.03616i | 1.15639 | − | 0.737590i | ||||
\(92\) | 21.9434i | 2.28776i | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 9.02057 | + | 15.6241i | 0.930401 | + | 1.61150i | ||||
\(95\) | 5.66626 | − | 8.97722i | 0.581346 | − | 0.921043i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.41028 | + | 3.12363i | 0.549331 | + | 0.317156i | 0.748852 | − | 0.662737i | \(-0.230605\pi\) |
−0.199521 | + | 0.979893i | \(0.563939\pi\) | |||||||
\(98\) | 14.3565 | + | 8.28873i | 1.45023 | + | 0.837288i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 14.7941 | − | 21.5104i | 1.47941 | − | 2.15104i | ||||
\(101\) | −9.00396 | − | 15.5953i | −0.895928 | − | 1.55179i | −0.832652 | − | 0.553796i | \(-0.813179\pi\) |
−0.0632758 | − | 0.997996i | \(-0.520155\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 5.61029i | − | 0.552798i | −0.961043 | − | 0.276399i | \(-0.910859\pi\) | ||
0.961043 | − | 0.276399i | \(-0.0891412\pi\) | |||||||
\(104\) | −27.6931 | − | 14.3969i | −2.71553 | − | 1.41173i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −8.45824 | − | 14.6501i | −0.821537 | − | 1.42294i | ||||
\(107\) | −9.48489 | + | 5.47610i | −0.916939 | + | 0.529395i | −0.882657 | − | 0.470017i | \(-0.844248\pi\) |
−0.0342818 | + | 0.999412i | \(0.510914\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 9.06561 | 0.868328 | 0.434164 | − | 0.900834i | \(-0.357044\pi\) | ||||
0.434164 | + | 0.900834i | \(0.357044\pi\) | |||||||
\(110\) | 18.3580 | + | 11.5872i | 1.75037 | + | 1.10480i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | − | 46.5217i | − | 4.39589i | ||||||
\(113\) | −4.80715 | − | 2.77541i | −0.452219 | − | 0.261089i | 0.256548 | − | 0.966531i | \(-0.417415\pi\) |
−0.708767 | + | 0.705443i | \(0.750748\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 8.31729 | − | 4.37420i | 0.775591 | − | 0.407896i | ||||
\(116\) | 24.2444 | 2.25104 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 2.18868i | − | 0.201484i | ||||||
\(119\) | 2.88568 | + | 4.99815i | 0.264530 | + | 0.458179i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.02622 | + | 1.77746i | −0.0932925 | + | 0.161587i | ||||
\(122\) | 28.4807i | 2.57852i | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 18.4633 | − | 31.9793i | 1.65805 | − | 2.87183i | ||||
\(125\) | −11.1022 | − | 1.31956i | −0.993011 | − | 0.118025i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.69701 | + | 5.02122i | −0.771735 | + | 0.445561i | −0.833493 | − | 0.552530i | \(-0.813663\pi\) |
0.0617583 | + | 0.998091i | \(0.480329\pi\) | |||||||
\(128\) | −17.8206 | + | 10.2887i | −1.57514 | + | 0.909405i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.102829 | + | 21.6651i | 0.00901870 | + | 1.90016i | ||||
\(131\) | 1.88635 | 0.164812 | 0.0824058 | − | 0.996599i | \(-0.473740\pi\) | ||||
0.0824058 | + | 0.996599i | \(0.473740\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −14.9203 | + | 8.61422i | −1.29375 | + | 0.746948i | ||||
\(134\) | 11.6869 | − | 20.2423i | 1.00959 | − | 1.74867i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 6.88368 | − | 11.9229i | 0.590270 | − | 1.02238i | ||||
\(137\) | −14.0205 | − | 8.09472i | −1.19785 | − | 0.691579i | −0.237774 | − | 0.971320i | \(-0.576418\pi\) |
−0.960075 | + | 0.279742i | \(0.909751\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.05902 | + | 3.56633i | −0.174644 | + | 0.302492i | −0.940038 | − | 0.341070i | \(-0.889211\pi\) |
0.765394 | + | 0.643562i | \(0.222544\pi\) | |||||||
\(140\) | −37.4988 | + | 19.7212i | −3.16923 | + | 1.66675i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | − | 14.7777i | − | 1.24012i | ||||||
\(143\) | −13.0135 | + | 0.575309i | −1.08824 | + | 0.0481098i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −4.83287 | − | 9.18943i | −0.401348 | − | 0.763141i | ||||
\(146\) | 1.78572 | + | 3.09296i | 0.147787 | + | 0.255975i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 46.5781i | 3.82870i | ||||||||
\(149\) | −0.427922 | + | 0.741182i | −0.0350567 | + | 0.0607200i | −0.883021 | − | 0.469333i | \(-0.844495\pi\) |
0.847965 | + | 0.530053i | \(0.177828\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −12.9887 | −1.05701 | −0.528503 | − | 0.848932i | \(-0.677246\pi\) | ||||
−0.528503 | + | 0.848932i | \(0.677246\pi\) | |||||||
\(152\) | 35.5917 | + | 20.5489i | 2.88687 | + | 1.66673i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −17.6157 | − | 30.5113i | −1.41951 | − | 2.45867i | ||||
\(155\) | −15.8017 | − | 0.623441i | −1.26922 | − | 0.0500760i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 8.84891i | − | 0.706220i | −0.935582 | − | 0.353110i | \(-0.885124\pi\) | ||
0.935582 | − | 0.353110i | \(-0.114876\pi\) | |||||||
\(158\) | −14.4785 | + | 8.35918i | −1.15185 | + | 0.665021i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 32.4043 | + | 20.4530i | 2.56178 | + | 1.61695i | ||||
\(161\) | −15.2510 | −1.20194 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −17.6565 | − | 10.1940i | −1.38296 | − | 0.798455i | −0.390454 | − | 0.920622i | \(-0.627682\pi\) |
−0.992509 | + | 0.122168i | \(0.961015\pi\) | |||||||
\(164\) | 36.5224 | 2.85192 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −8.92057 | − | 15.4509i | −0.692370 | − | 1.19922i | ||||
\(167\) | −5.99010 | + | 3.45839i | −0.463528 | + | 0.267618i | −0.713526 | − | 0.700628i | \(-0.752903\pi\) |
0.249999 | + | 0.968246i | \(0.419570\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.46813 | − | 10.6408i | −0.574472 | − | 0.818524i | ||||
\(170\) | −9.54904 | − | 0.376749i | −0.732378 | − | 0.0288953i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −7.44975 | + | 4.30111i | −0.568038 | + | 0.327957i | ||||
\(173\) | 11.1781 | + | 6.45368i | 0.849856 | + | 0.490664i | 0.860602 | − | 0.509278i | \(-0.170087\pi\) |
−0.0107466 | + | 0.999942i | \(0.503421\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 14.9500 | + | 10.2821i | 1.13011 | + | 0.777250i | ||||
\(176\) | −23.1578 | + | 40.1104i | −1.74558 | + | 3.02344i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 31.1025 | + | 17.9571i | 2.33123 | + | 1.34594i | ||||
\(179\) | 11.1510 | + | 19.3140i | 0.833462 | + | 1.44360i | 0.895277 | + | 0.445511i | \(0.146978\pi\) |
−0.0618148 | + | 0.998088i | \(0.519689\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.37048 | 0.324855 | 0.162428 | − | 0.986720i | \(-0.448068\pi\) | ||||
0.162428 | + | 0.986720i | \(0.448068\pi\) | |||||||
\(182\) | 16.2183 | − | 31.1967i | 1.20218 | − | 2.31245i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 18.1903 | + | 31.5065i | 1.34100 | + | 2.32269i | ||||
\(185\) | 17.6546 | − | 9.28486i | 1.29800 | − | 0.682637i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 5.74578i | − | 0.420173i | ||||||
\(188\) | 30.3576 | + | 17.5270i | 2.21406 | + | 1.27829i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.12466 | − | 28.5054i | 0.0815911 | − | 2.06800i | ||||
\(191\) | −0.543330 | + | 0.941076i | −0.0393140 | + | 0.0680939i | −0.885013 | − | 0.465567i | \(-0.845851\pi\) |
0.845699 | + | 0.533660i | \(0.179184\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −7.25689 | + | 4.18977i | −0.522362 | + | 0.301586i | −0.737901 | − | 0.674909i | \(-0.764183\pi\) |
0.215538 | + | 0.976495i | \(0.430849\pi\) | |||||||
\(194\) | 16.7880 | 1.20531 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 32.2100 | 2.30072 | ||||||||
\(197\) | 4.25034 | − | 2.45393i | 0.302824 | − | 0.174836i | −0.340887 | − | 0.940104i | \(-0.610727\pi\) |
0.643711 | + | 0.765269i | \(0.277394\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.95824 | − | 12.0520i | 0.493257 | − | 0.854345i | −0.506713 | − | 0.862115i | \(-0.669140\pi\) |
0.999970 | + | 0.00776922i | \(0.00247305\pi\) | |||||||
\(200\) | 3.41007 | − | 43.1484i | 0.241129 | − | 3.05105i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −41.9086 | − | 24.1960i | −2.94868 | − | 1.70242i | ||||
\(203\) | 16.8502i | 1.18265i | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −7.28035 | − | 13.8432i | −0.508482 | − | 0.966849i | ||||
\(206\) | −7.53814 | − | 13.0564i | −0.525207 | − | 0.909686i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −46.1773 | + | 2.04144i | −3.20182 | + | 0.141548i | ||||
\(209\) | 17.1521 | 1.18643 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −7.01068 | − | 12.1428i | −0.482635 | − | 0.835948i | 0.517166 | − | 0.855885i | \(-0.326987\pi\) |
−0.999801 | + | 0.0199368i | \(0.993653\pi\) | |||||||
\(212\) | −28.4652 | − | 16.4344i | −1.95500 | − | 1.12872i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −14.7157 | + | 25.4883i | −1.00594 | + | 1.74235i | ||||
\(215\) | 3.11529 | + | 1.96632i | 0.212461 | + | 0.134102i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 22.2260 | + | 12.8322i | 1.50880 | + | 0.871106i | ||||
\(218\) | 21.0978 | − | 12.1808i | 1.42892 | − | 0.824988i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 42.1479 | + | 1.66291i | 2.84161 | + | 0.112113i | ||||
\(221\) | 4.83452 | − | 3.08364i | 0.325205 | − | 0.207428i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.57080 | + | 0.906899i | −0.105188 | + | 0.0607305i | −0.551671 | − | 0.834062i | \(-0.686010\pi\) |
0.446483 | + | 0.894792i | \(0.352676\pi\) | |||||||
\(224\) | −31.0940 | − | 53.8564i | −2.07756 | − | 3.59843i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −14.9165 | −0.992230 | ||||||||
\(227\) | −21.1132 | − | 12.1897i | −1.40133 | − | 0.809058i | −0.406801 | − | 0.913517i | \(-0.633356\pi\) |
−0.994529 | + | 0.104458i | \(0.966689\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.59844 | 0.105628 | 0.0528139 | − | 0.998604i | \(-0.483181\pi\) | ||||
0.0528139 | + | 0.998604i | \(0.483181\pi\) | |||||||
\(230\) | 13.4790 | − | 21.3551i | 0.888777 | − | 1.40811i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 34.8102 | − | 20.0977i | 2.28540 | − | 1.31948i | ||||
\(233\) | − | 10.0225i | − | 0.656599i | −0.944574 | − | 0.328299i | \(-0.893525\pi\) | ||
0.944574 | − | 0.328299i | \(-0.106475\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.591826 | − | 15.0004i | 0.0386065 | − | 0.978516i | ||||
\(236\) | −2.12631 | − | 3.68287i | −0.138411 | − | 0.239735i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 13.4313 | + | 7.75457i | 0.870622 | + | 0.502654i | ||||
\(239\) | 14.6112 | 0.945117 | 0.472559 | − | 0.881299i | \(-0.343331\pi\) | ||||
0.472559 | + | 0.881299i | \(0.343331\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.62794 | + | 11.4799i | −0.426943 | + | 0.739487i | −0.996600 | − | 0.0823959i | \(-0.973743\pi\) |
0.569657 | + | 0.821883i | \(0.307076\pi\) | |||||||
\(242\) | 5.51542i | 0.354545i | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 27.6691 | + | 47.9242i | 1.77133 | + | 3.06804i | ||||
\(245\) | −6.42074 | − | 12.2087i | −0.410206 | − | 0.779983i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 9.20517 | + | 14.4318i | 0.585711 | + | 0.918274i | ||||
\(248\) | − | 61.2213i | − | 3.88756i | ||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −27.6104 | + | 11.8463i | −1.74623 | + | 0.749226i | ||||
\(251\) | −12.5887 | + | 21.8043i | −0.794592 | + | 1.37627i | 0.128506 | + | 0.991709i | \(0.458982\pi\) |
−0.923098 | + | 0.384565i | \(0.874352\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 13.1492 | + | 7.59168i | 0.826682 | + | 0.477285i | ||||
\(254\) | −13.4933 | + | 23.3711i | −0.846646 | + | 1.46643i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −7.23689 | + | 12.5347i | −0.452306 | + | 0.783416i | ||||
\(257\) | 23.6813 | − | 13.6724i | 1.47720 | − | 0.852862i | 0.477532 | − | 0.878614i | \(-0.341532\pi\) |
0.999668 | + | 0.0257526i | \(0.00819820\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −32.3724 | −2.01152 | ||||||||
\(260\) | 21.2207 | + | 36.3558i | 1.31605 | + | 2.25469i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 4.38998 | − | 2.53456i | 0.271214 | − | 0.156586i | ||||
\(263\) | −13.4299 | + | 7.75373i | −0.828120 | + | 0.478116i | −0.853209 | − | 0.521570i | \(-0.825347\pi\) |
0.0250883 | + | 0.999685i | \(0.492013\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.554933 | + | 14.0653i | −0.0340893 | + | 0.864023i | ||||
\(266\) | −23.1486 | + | 40.0946i | −1.41933 | + | 2.45836i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | − | 45.4154i | − | 2.77419i | ||||||
\(269\) | 5.33189 | − | 9.23510i | 0.325091 | − | 0.563074i | −0.656440 | − | 0.754378i | \(-0.727938\pi\) |
0.981531 | + | 0.191304i | \(0.0612717\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −1.01068 | − | 1.75054i | −0.0613942 | − | 0.106338i | 0.833695 | − | 0.552226i | \(-0.186221\pi\) |
−0.895089 | + | 0.445888i | \(0.852888\pi\) | |||||||
\(272\) | − | 20.3885i | − | 1.23623i | ||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −43.5052 | −2.62824 | ||||||||
\(275\) | −7.77145 | − | 16.3069i | −0.468636 | − | 0.983344i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.35635 | + | 1.93779i | 0.201664 | + | 0.116431i | 0.597431 | − | 0.801920i | \(-0.296188\pi\) |
−0.395768 | + | 0.918351i | \(0.629521\pi\) | |||||||
\(278\) | 11.0662i | 0.663709i | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −37.4927 | + | 59.4008i | −2.24062 | + | 3.54988i | ||||
\(281\) | 23.7976 | 1.41964 | 0.709822 | − | 0.704381i | \(-0.248775\pi\) | ||||
0.709822 | + | 0.704381i | \(0.248775\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −5.81677 | + | 3.35831i | −0.345771 | + | 0.199631i | −0.662821 | − | 0.748778i | \(-0.730641\pi\) |
0.317050 | + | 0.948409i | \(0.397308\pi\) | |||||||
\(284\) | −14.3565 | − | 24.8663i | −0.851904 | − | 1.47554i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −29.5124 | + | 18.8242i | −1.74510 | + | 1.11310i | ||||
\(287\) | 25.3835i | 1.49834i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −7.23533 | − | 12.5320i | −0.425608 | − | 0.737174i | ||||
\(290\) | −23.5944 | − | 14.8924i | −1.38551 | − | 0.874510i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 6.00962 | + | 3.46966i | 0.351687 | + | 0.203046i | ||||
\(293\) | 10.6371 | + | 6.14131i | 0.621424 | + | 0.358779i | 0.777423 | − | 0.628978i | \(-0.216526\pi\) |
−0.155999 | + | 0.987757i | \(0.549860\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.972073 | + | 1.54008i | −0.0565963 | + | 0.0896671i | ||||
\(296\) | 38.6115 | + | 66.8770i | 2.24425 | + | 3.88715i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 2.29987i | 0.133228i | ||||||||
\(299\) | 0.669233 | + | 15.1380i | 0.0387028 | + | 0.875456i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.98932 | − | 5.17766i | −0.172302 | − | 0.298435i | ||||
\(302\) | −30.2277 | + | 17.4520i | −1.73941 | + | 1.00425i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 60.8628 | 3.49072 | ||||||||
\(305\) | 12.6493 | − | 20.0407i | 0.724298 | − | 1.14753i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 9.63676i | 0.549999i | 0.961444 | + | 0.275000i | \(0.0886777\pi\) | ||||
−0.961444 | + | 0.275000i | \(0.911322\pi\) | |||||||
\(308\) | −59.2835 | − | 34.2274i | −3.37799 | − | 1.95029i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −37.6118 | + | 19.7807i | −2.13621 | + | 1.12347i | ||||
\(311\) | −15.0763 | −0.854898 | −0.427449 | − | 0.904039i | \(-0.640588\pi\) | ||||
−0.427449 | + | 0.904039i | \(0.640588\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 23.8506i | − | 1.34811i | −0.738679 | − | 0.674057i | \(-0.764550\pi\) | ||
0.738679 | − | 0.674057i | \(-0.235450\pi\) | |||||||
\(314\) | −11.8896 | − | 20.5935i | −0.670971 | − | 1.16216i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −16.2419 | + | 28.1318i | −0.913679 | + | 1.58254i | ||||
\(317\) | 8.74937i | 0.491413i | 0.969344 | + | 0.245707i | \(0.0790200\pi\) | ||||
−0.969344 | + | 0.245707i | \(0.920980\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 8.38774 | − | 14.5280i | 0.469623 | − | 0.813411i | ||||
\(320\) | 45.6063 | + | 1.79936i | 2.54947 | + | 0.100587i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −35.4925 | + | 20.4916i | −1.97792 | + | 1.14195i | ||||
\(323\) | −6.53891 | + | 3.77524i | −0.363835 | + | 0.210060i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 9.54990 | − | 15.2905i | 0.529733 | − | 0.848164i | ||||
\(326\) | −54.7877 | −3.03441 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 52.4389 | − | 30.2756i | 2.89545 | − | 1.67169i | ||||
\(329\) | −12.1815 | + | 21.0989i | −0.671586 | + | 1.16322i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 7.75415 | − | 13.4306i | 0.426207 | − | 0.738212i | −0.570325 | − | 0.821419i | \(-0.693183\pi\) |
0.996532 | + | 0.0832070i | \(0.0265163\pi\) | |||||||
\(332\) | −30.0211 | − | 17.3327i | −1.64762 | − | 0.951255i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −9.29357 | + | 16.0969i | −0.508522 | + | 0.880785i | ||||
\(335\) | −17.2139 | + | 9.05308i | −0.940497 | + | 0.494623i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 33.0731i | − | 1.80160i | −0.434229 | − | 0.900802i | \(-0.642979\pi\) | ||
0.434229 | − | 0.900802i | \(-0.357021\pi\) | |||||||
\(338\) | −31.6774 | − | 14.7293i | −1.72302 | − | 0.801166i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −16.4341 | + | 8.64296i | −0.891264 | + | 0.468730i | ||||
\(341\) | −12.7753 | − | 22.1275i | −0.691822 | − | 1.19827i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 3.01593i | − | 0.162845i | ||||||
\(344\) | −7.13091 | + | 12.3511i | −0.384473 | + | 0.665927i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 34.6854 | 1.86470 | ||||||||
\(347\) | 12.1439 | + | 7.01129i | 0.651919 | + | 0.376386i | 0.789191 | − | 0.614148i | \(-0.210500\pi\) |
−0.137272 | + | 0.990533i | \(0.543833\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.48776 | + | 6.04098i | 0.186696 | + | 0.323366i | 0.944147 | − | 0.329526i | \(-0.106889\pi\) |
−0.757451 | + | 0.652892i | \(0.773555\pi\) | |||||||
\(350\) | 48.6074 | + | 3.84150i | 2.59817 | + | 0.205337i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 61.9124i | 3.29994i | ||||||||
\(353\) | 12.1978 | − | 7.04243i | 0.649226 | − | 0.374831i | −0.138934 | − | 0.990302i | \(-0.544368\pi\) |
0.788159 | + | 0.615471i | \(0.211034\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −6.56330 | + | 10.3984i | −0.348344 | + | 0.551891i | ||||
\(356\) | 69.7812 | 3.69840 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 51.9018 | + | 29.9655i | 2.74309 | + | 1.58373i | ||||
\(359\) | −9.02923 | −0.476545 | −0.238272 | − | 0.971198i | \(-0.576581\pi\) | ||||
−0.238272 | + | 0.971198i | \(0.576581\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −1.76970 | − | 3.06520i | −0.0931419 | − | 0.161326i | ||||
\(362\) | 10.1711 | − | 5.87230i | 0.534582 | − | 0.308641i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −3.01726 | − | 68.2504i | −0.158148 | − | 3.57729i | ||||
\(365\) | 0.117158 | − | 2.96949i | 0.00613235 | − | 0.155430i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −29.0631 | + | 16.7796i | −1.51708 | + | 0.875887i | −0.517281 | + | 0.855815i | \(0.673056\pi\) |
−0.999799 | + | 0.0200712i | \(0.993611\pi\) | |||||||
\(368\) | 46.6588 | + | 26.9385i | 2.43226 | + | 1.40426i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 28.6110 | − | 45.3293i | 1.48742 | − | 2.35656i | ||||
\(371\) | 11.4221 | − | 19.7837i | 0.593006 | − | 1.02712i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −21.3986 | − | 12.3545i | −1.10798 | − | 0.639690i | −0.169671 | − | 0.985501i | \(-0.554271\pi\) |
−0.938304 | + | 0.345811i | \(0.887604\pi\) | |||||||
\(374\) | −7.72020 | − | 13.3718i | −0.399202 | − | 0.691438i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 58.1168 | 2.99714 | ||||||||
\(377\) | 16.7254 | − | 0.739409i | 0.861403 | − | 0.0380815i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 14.0796 | + | 24.3866i | 0.723220 | + | 1.25265i | 0.959702 | + | 0.281018i | \(0.0906721\pi\) |
−0.236483 | + | 0.971636i | \(0.575995\pi\) | |||||||
\(380\) | −25.8006 | − | 49.0584i | −1.32354 | − | 2.51664i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 2.92014i | 0.149407i | ||||||||
\(383\) | 4.00942 | + | 2.31484i | 0.204872 | + | 0.118283i | 0.598926 | − | 0.800805i | \(-0.295594\pi\) |
−0.394054 | + | 0.919087i | \(0.628928\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.15574 | + | 29.2933i | −0.0589020 | + | 1.49292i | ||||
\(386\) | −11.2590 | + | 19.5011i | −0.573067 | + | 0.992581i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 28.2490 | − | 16.3095i | 1.43412 | − | 0.827992i | ||||
\(389\) | 3.02917 | 0.153585 | 0.0767924 | − | 0.997047i | \(-0.475532\pi\) | ||||
0.0767924 | + | 0.997047i | \(0.475532\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −6.68383 | −0.338016 | ||||||||
\(392\) | 46.2473 | − | 26.7009i | 2.33584 | − | 1.34860i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 6.59435 | − | 11.4217i | 0.332219 | − | 0.575419i | ||||
\(395\) | 13.9005 | + | 0.548434i | 0.699412 | + | 0.0275947i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0.117341 | + | 0.0677469i | 0.00588918 | + | 0.00340012i | 0.502942 | − | 0.864320i | \(-0.332251\pi\) |
−0.497053 | + | 0.867720i | \(0.665584\pi\) | |||||||
\(398\) | − | 37.3972i | − | 1.87455i | ||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −27.5764 | − | 57.8638i | −1.37882 | − | 2.89319i | ||||
\(401\) | 7.51746 | + | 13.0206i | 0.375404 | + | 0.650219i | 0.990387 | − | 0.138321i | \(-0.0441707\pi\) |
−0.614984 | + | 0.788540i | \(0.710837\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 11.7619 | − | 22.6245i | 0.585901 | − | 1.12701i | ||||
\(404\) | −94.0257 | −4.67795 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 22.6404 | + | 39.2143i | 1.12362 | + | 1.94617i | ||||
\(407\) | 27.9110 | + | 16.1144i | 1.38350 | + | 0.798763i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 8.62387 | − | 14.9370i | 0.426423 | − | 0.738586i | −0.570129 | − | 0.821555i | \(-0.693107\pi\) |
0.996552 | + | 0.0829687i | \(0.0264401\pi\) | |||||||
\(410\) | −35.5432 | − | 22.4342i | −1.75535 | − | 1.10795i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −25.3687 | − | 14.6466i | −1.24983 | − | 0.721588i | ||||
\(413\) | 2.55964 | − | 1.47781i | 0.125952 | − | 0.0727182i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.585266 | + | 14.8341i | −0.0287296 | + | 0.728176i | ||||
\(416\) | −52.0932 | + | 33.2271i | −2.55408 | + | 1.62909i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 39.9169 | − | 23.0460i | 1.95240 | − | 1.12722i | ||||
\(419\) | 2.70821 | + | 4.69075i | 0.132305 | + | 0.229158i | 0.924565 | − | 0.381025i | \(-0.124429\pi\) |
−0.792260 | + | 0.610184i | \(0.791096\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −32.9444 | −1.60561 | −0.802807 | − | 0.596239i | \(-0.796661\pi\) | ||||
−0.802807 | + | 0.596239i | \(0.796661\pi\) | |||||||
\(422\) | −32.6309 | − | 18.8395i | −1.58845 | − | 0.917092i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −54.4939 | −2.64646 | ||||||||
\(425\) | 6.55193 | + | 4.50618i | 0.317815 | + | 0.218582i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −33.3079 | + | 19.2303i | −1.61188 | + | 0.930621i | ||||
\(428\) | 57.1853i | 2.76416i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 9.89201 | + | 0.390280i | 0.477035 | + | 0.0188210i | ||||
\(431\) | 5.24456 | + | 9.08384i | 0.252621 | + | 0.437553i | 0.964247 | − | 0.265006i | \(-0.0853740\pi\) |
−0.711625 | + | 0.702559i | \(0.752041\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −18.3388 | − | 10.5879i | −0.881307 | − | 0.508823i | −0.0102176 | − | 0.999948i | \(-0.503252\pi\) |
−0.871089 | + | 0.491125i | \(0.836586\pi\) | |||||||
\(434\) | 68.9668 | 3.31051 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 23.6674 | − | 40.9931i | 1.13346 | − | 1.96321i | ||||
\(437\) | − | 19.9523i | − | 0.954448i | ||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 6.00328 | + | 10.3980i | 0.286521 | + | 0.496269i | 0.972977 | − | 0.230903i | \(-0.0741679\pi\) |
−0.686456 | + | 0.727171i | \(0.740835\pi\) | |||||||
\(440\) | 61.8945 | − | 32.5514i | 2.95071 | − | 1.55182i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 7.10777 | − | 13.6721i | 0.338082 | − | 0.650318i | ||||
\(443\) | − | 28.9381i | − | 1.37489i | −0.726236 | − | 0.687446i | \(-0.758732\pi\) | ||
0.726236 | − | 0.687446i | \(-0.241268\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −13.9102 | − | 26.4494i | −0.659405 | − | 1.25382i | ||||
\(446\) | −2.43707 | + | 4.22113i | −0.115399 | + | 0.199876i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −64.1480 | − | 37.0359i | −3.03071 | − | 1.74978i | ||||
\(449\) | 7.93624 | − | 13.7460i | 0.374534 | − | 0.648713i | −0.615723 | − | 0.787963i | \(-0.711136\pi\) |
0.990257 | + | 0.139250i | \(0.0444692\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 12.6355 | − | 21.8853i | 0.594982 | − | 1.03054i | ||||
\(452\) | −25.0998 | + | 14.4914i | −1.18060 | + | 0.681617i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −65.5137 | −3.07471 | ||||||||
\(455\) | −25.2677 | + | 14.7487i | −1.18457 | + | 0.691428i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 27.5389 | − | 15.8996i | 1.28821 | − | 0.743751i | 0.309878 | − | 0.950776i | \(-0.399712\pi\) |
0.978336 | + | 0.207026i | \(0.0663784\pi\) | |||||||
\(458\) | 3.71994 | − | 2.14771i | 0.173821 | − | 0.100356i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 1.93439 | − | 49.0289i | 0.0901915 | − | 2.28598i | ||||
\(461\) | −10.5869 | + | 18.3371i | −0.493083 | + | 0.854045i | −0.999968 | − | 0.00796874i | \(-0.997463\pi\) |
0.506885 | + | 0.862014i | \(0.330797\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 27.1764i | 1.26299i | 0.775378 | + | 0.631497i | \(0.217559\pi\) | ||||
−0.775378 | + | 0.631497i | \(0.782441\pi\) | |||||||
\(464\) | 29.7632 | − | 51.5514i | 1.38172 | − | 2.39321i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −13.4666 | − | 23.3248i | −0.623827 | − | 1.08050i | ||||
\(467\) | 6.32195i | 0.292545i | 0.989244 | + | 0.146272i | \(0.0467276\pi\) | ||||
−0.989244 | + | 0.146272i | \(0.953272\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 31.5642 | 1.45750 | ||||||||
\(470\) | −18.7776 | − | 35.7045i | −0.866146 | − | 1.64693i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −6.10592 | − | 3.52525i | −0.281048 | − | 0.162263i | ||||
\(473\) | 5.95215i | 0.273680i | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −13.4517 | + | 19.5586i | −0.617205 | + | 0.897409i | ||||
\(476\) | 30.1343 | 1.38120 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 34.0036 | − | 19.6320i | 1.55529 | − | 0.897945i | ||||
\(479\) | 8.30491 | + | 14.3845i | 0.379461 | + | 0.657245i | 0.990984 | − | 0.133981i | \(-0.0427762\pi\) |
−0.611523 | + | 0.791227i | \(0.709443\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.42054 | + | 32.1327i | 0.0647712 | + | 1.46512i | ||||
\(482\) | 35.6219i | 1.62253i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 5.35824 | + | 9.28075i | 0.243556 | + | 0.421852i | ||||
\(485\) | −11.8130 | − | 7.45615i | −0.536400 | − | 0.338566i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 24.0859 | + | 13.9060i | 1.09144 | + | 0.630142i | 0.933959 | − | 0.357380i | \(-0.116330\pi\) |
0.157479 | + | 0.987522i | \(0.449663\pi\) | |||||||
\(488\) | 79.4547 | + | 45.8732i | 3.59674 | + | 2.07658i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −31.3465 | − | 19.7853i | −1.41609 | − | 0.893810i | ||||
\(491\) | −15.9781 | − | 27.6749i | −0.721081 | − | 1.24895i | −0.960567 | − | 0.278049i | \(-0.910312\pi\) |
0.239486 | − | 0.970900i | \(-0.423021\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 7.38470i | 0.332590i | ||||||||
\(494\) | 40.8135 | + | 21.2178i | 1.83629 | + | 0.954636i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −45.3322 | − | 78.5176i | −2.03548 | − | 3.52555i | ||||
\(497\) | 17.2823 | − | 9.97797i | 0.775219 | − | 0.447573i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 40.2772 | 1.80306 | 0.901528 | − | 0.432721i | \(-0.142446\pi\) | ||||
0.901528 | + | 0.432721i | \(0.142446\pi\) | |||||||
\(500\) | −34.9510 | + | 46.7572i | −1.56306 | + | 2.09105i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 67.6582i | 3.01973i | ||||||||
\(503\) | 23.3031 | + | 13.4541i | 1.03903 | + | 0.599887i | 0.919560 | − | 0.392951i | \(-0.128546\pi\) |
0.119474 | + | 0.992837i | \(0.461879\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 18.7430 | + | 35.6388i | 0.834054 | + | 1.58591i | ||||
\(506\) | 40.8016 | 1.81385 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 52.4351i | 2.32643i | ||||||||
\(509\) | 9.14920 | + | 15.8469i | 0.405531 | + | 0.702400i | 0.994383 | − | 0.105840i | \(-0.0337533\pi\) |
−0.588852 | + | 0.808241i | \(0.700420\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2.41145 | + | 4.17676i | −0.106676 | + | 0.184769i | ||||
\(512\) | − | 2.26022i | − | 0.0998885i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 36.7413 | − | 63.6378i | 1.62059 | − | 2.80694i | ||||
\(515\) | −0.494567 | + | 12.5352i | −0.0217932 | + | 0.552369i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 21.0054 | − | 12.1275i | 0.923817 | − | 0.533366i | ||||
\(518\) | −75.3380 | + | 43.4964i | −3.31016 | + | 1.91112i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 60.6063 | + | 34.6086i | 2.65776 | + | 1.51769i | ||||
\(521\) | −14.3803 | −0.630014 | −0.315007 | − | 0.949089i | \(-0.602007\pi\) | ||||
−0.315007 | + | 0.949089i | \(0.602007\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −13.4105 | + | 7.74257i | −0.586401 | + | 0.338559i | −0.763673 | − | 0.645603i | \(-0.776606\pi\) |
0.177272 | + | 0.984162i | \(0.443273\pi\) | |||||||
\(524\) | 4.92466 | − | 8.52976i | 0.215135 | − | 0.372624i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −20.8363 | + | 36.0895i | −0.908504 | + | 1.57358i | ||||
\(527\) | 9.74069 | + | 5.62379i | 0.424311 | + | 0.244976i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −2.66891 | + | 4.62269i | −0.116040 | + | 0.200987i | ||||
\(530\) | 17.6070 | + | 33.4788i | 0.764801 | + | 1.45423i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 89.9557i | 3.90008i | ||||||||
\(533\) | 25.1956 | − | 1.11386i | 1.09134 | − | 0.0482467i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 21.6751 | − | 11.3993i | 0.937097 | − | 0.492835i | ||||
\(536\) | −37.6476 | − | 65.2075i | −1.62613 | − | 2.81654i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | − | 28.6563i | − | 1.23546i | ||||||
\(539\) | 11.1436 | − | 19.3012i | 0.479988 | − | 0.831363i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 32.2986 | 1.38863 | 0.694313 | − | 0.719673i | \(-0.255708\pi\) | ||||
0.694313 | + | 0.719673i | \(0.255708\pi\) | |||||||
\(542\) | −4.70416 | − | 2.71595i | −0.202061 | − | 0.116660i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −13.6272 | − | 23.6029i | −0.584259 | − | 1.01197i | ||||
\(545\) | −20.2556 | − | 0.799165i | −0.867653 | − | 0.0342325i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 28.0514i | − | 1.19939i | −0.800227 | − | 0.599697i | \(-0.795288\pi\) | ||
0.800227 | − | 0.599697i | \(-0.204712\pi\) | |||||||
\(548\) | −73.2058 | + | 42.2654i | −3.12719 | + | 1.80549i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −39.9964 | − | 27.5081i | −1.70545 | − | 1.17295i | ||||
\(551\) | −22.0445 | −0.939127 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −19.5520 | − | 11.2883i | −0.831434 | − | 0.480028i | ||||
\(554\) | 10.4147 | 0.442478 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 10.7509 | + | 18.6211i | 0.455939 | + | 0.789709i | ||||
\(557\) | 5.04757 | − | 2.91421i | 0.213872 | − | 0.123479i | −0.389237 | − | 0.921137i | \(-0.627261\pi\) |
0.603110 | + | 0.797658i | \(0.293928\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −5.00815 | + | 3.19440i | −0.211822 | + | 0.135109i | ||||
\(560\) | −4.10105 | + | 103.945i | −0.173301 | + | 4.39247i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 55.3825 | − | 31.9751i | 2.33617 | − | 1.34879i | ||||
\(563\) | −25.1078 | − | 14.4960i | −1.05817 | − | 0.610934i | −0.133243 | − | 0.991083i | \(-0.542539\pi\) |
−0.924925 | + | 0.380149i | \(0.875873\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 10.4961 | + | 6.62495i | 0.441574 | + | 0.278714i | ||||
\(566\) | −9.02465 | + | 15.6312i | −0.379334 | + | 0.657026i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −41.2263 | − | 23.8020i | −1.72982 | − | 0.998711i | ||||
\(569\) | 13.2681 | + | 22.9811i | 0.556229 | + | 0.963417i | 0.997807 | + | 0.0661939i | \(0.0210856\pi\) |
−0.441578 | + | 0.897223i | \(0.645581\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.95418 | 0.207326 | 0.103663 | − | 0.994612i | \(-0.466944\pi\) | ||||
0.103663 | + | 0.994612i | \(0.466944\pi\) | |||||||
\(572\) | −31.3725 | + | 60.3466i | −1.31175 | + | 2.52322i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 34.1060 | + | 59.0733i | 1.42356 | + | 2.46567i | ||||
\(575\) | −18.9692 | + | 9.04020i | −0.791069 | + | 0.377002i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 15.3342i | − | 0.638373i | −0.947692 | − | 0.319187i | \(-0.896590\pi\) | ||
0.947692 | − | 0.319187i | \(-0.103410\pi\) | |||||||
\(578\) | −33.6766 | − | 19.4432i | −1.40076 | − | 0.808730i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −54.1700 | − | 2.13723i | −2.24929 | − | 0.0887437i | ||||
\(581\) | 12.0464 | − | 20.8650i | 0.499770 | − | 0.865627i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −19.6960 | + | 11.3715i | −0.815723 | + | 0.470958i | ||||
\(584\) | 11.5049 | 0.476074 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 33.0066 | 1.36349 | ||||||||
\(587\) | −36.9151 | + | 21.3129i | −1.52365 | + | 0.879679i | −0.524040 | + | 0.851694i | \(0.675576\pi\) |
−0.999608 | + | 0.0279853i | \(0.991091\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −16.7879 | + | 29.0775i | −0.691734 | + | 1.19812i | ||||
\(590\) | −0.192940 | + | 4.89024i | −0.00794321 | + | 0.201328i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 99.0400 | + | 57.1808i | 4.07052 | + | 2.35012i | ||||
\(593\) | − | 29.2256i | − | 1.20015i | −0.799944 | − | 0.600075i | \(-0.795137\pi\) | ||
0.799944 | − | 0.600075i | \(-0.204863\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −6.00696 | − | 11.4219i | −0.246261 | − | 0.468252i | ||||
\(596\) | 2.23433 | + | 3.86997i | 0.0915217 | + | 0.158520i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 21.8974 | + | 34.3305i | 0.895450 | + | 1.40388i | ||||
\(599\) | 1.80922 | 0.0739225 | 0.0369613 | − | 0.999317i | \(-0.488232\pi\) | ||||
0.0369613 | + | 0.999317i | \(0.488232\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 9.15668 | + | 15.8598i | 0.373509 | + | 0.646936i | 0.990103 | − | 0.140345i | \(-0.0448213\pi\) |
−0.616594 | + | 0.787281i | \(0.711488\pi\) | |||||||
\(602\) | −13.9137 | − | 8.03308i | −0.567080 | − | 0.327404i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −33.9093 | + | 58.7326i | −1.37975 | + | 2.38979i | ||||
\(605\) | 2.44960 | − | 3.88097i | 0.0995903 | − | 0.157784i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.18573 | − | 1.26193i | −0.0887161 | − | 0.0512202i | 0.454986 | − | 0.890499i | \(-0.349644\pi\) |
−0.543702 | + | 0.839279i | \(0.682978\pi\) | |||||||
\(608\) | 70.4585 | − | 40.6792i | 2.85747 | − | 1.64976i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.51068 | − | 63.6353i | 0.101654 | − | 2.57652i | ||||
\(611\) | 21.4773 | + | 11.1654i | 0.868877 | + | 0.451705i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −6.35394 | + | 3.66845i | −0.256633 | + | 0.148167i | −0.622798 | − | 0.782383i | \(-0.714004\pi\) |
0.366165 | + | 0.930550i | \(0.380671\pi\) | |||||||
\(614\) | 12.9482 | + | 22.4270i | 0.522548 | + | 0.905080i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −113.493 | −4.57275 | ||||||||
\(617\) | 32.4440 | + | 18.7315i | 1.30614 | + | 0.754103i | 0.981450 | − | 0.191716i | \(-0.0614053\pi\) |
0.324694 | + | 0.945819i | \(0.394739\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −16.5344 | −0.664573 | −0.332287 | − | 0.943178i | \(-0.607820\pi\) | ||||
−0.332287 | + | 0.943178i | \(0.607820\pi\) | |||||||
\(620\) | −44.0721 | + | 69.8247i | −1.76998 | + | 2.80423i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −35.0860 | + | 20.2569i | −1.40682 | + | 0.812229i | ||||
\(623\) | 48.4988i | 1.94306i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 24.6896 | + | 3.92703i | 0.987586 | + | 0.157081i | ||||
\(626\) | −32.0463 | − | 55.5059i | −1.28083 | − | 2.21846i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −40.0132 | − | 23.1016i | −1.59670 | − | 0.921855i | ||||
\(629\) | −14.1874 | −0.565689 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −1.97472 | + | 3.42031i | −0.0786123 | + | 0.136161i | −0.902651 | − | 0.430372i | \(-0.858382\pi\) |
0.824039 | + | 0.566533i | \(0.191716\pi\) | |||||||
\(632\) | 53.8557i | 2.14226i | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 11.7559 | + | 20.3618i | 0.466886 | + | 0.808671i | ||||
\(635\) | 19.8746 | − | 10.4524i | 0.788700 | − | 0.414791i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 22.2206 | − | 0.982345i | 0.880413 | − | 0.0389219i | ||||
\(638\) | − | 45.0800i | − | 1.78474i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 40.7242 | − | 21.4175i | 1.60976 | − | 0.846601i | ||||
\(641\) | −9.64376 | + | 16.7035i | −0.380906 | + | 0.659748i | −0.991192 | − | 0.132433i | \(-0.957721\pi\) |
0.610286 | + | 0.792181i | \(0.291054\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 13.4668 | + | 7.77507i | 0.531079 | + | 0.306619i | 0.741456 | − | 0.671002i | \(-0.234136\pi\) |
−0.210377 | + | 0.977620i | \(0.567469\pi\) | |||||||
\(644\) | −39.8153 | + | 68.9621i | −1.56894 | + | 2.71749i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −10.1450 | + | 17.5717i | −0.399151 | + | 0.691350i | ||||
\(647\) | −24.6729 | + | 14.2449i | −0.969993 | + | 0.560025i | −0.899234 | − | 0.437468i | \(-0.855875\pi\) |
−0.0707586 | + | 0.997493i | \(0.522542\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −2.94252 | −0.115504 | ||||||||
\(650\) | 1.68010 | − | 48.4161i | 0.0658990 | − | 1.89903i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −92.1907 | + | 53.2264i | −3.61047 | + | 2.08450i | ||||
\(653\) | 40.5547 | − | 23.4143i | 1.58703 | − | 0.916270i | 0.593233 | − | 0.805031i | \(-0.297851\pi\) |
0.993794 | − | 0.111240i | \(-0.0354822\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −4.21474 | − | 0.166289i | −0.164683 | − | 0.00649744i | ||||
\(656\) | 44.8360 | − | 77.6583i | 1.75055 | − | 3.03205i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 65.4695i | 2.55227i | ||||||||
\(659\) | 17.1521 | − | 29.7083i | 0.668150 | − | 1.15727i | −0.310271 | − | 0.950648i | \(-0.600420\pi\) |
0.978421 | − | 0.206622i | \(-0.0662470\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 4.69747 | + | 8.13626i | 0.182711 | + | 0.316464i | 0.942803 | − | 0.333351i | \(-0.108180\pi\) |
−0.760092 | + | 0.649815i | \(0.774846\pi\) | |||||||
\(662\) | − | 41.6748i | − | 1.61974i | ||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −57.4725 | −2.23037 | ||||||||
\(665\) | 34.0962 | − | 17.9317i | 1.32219 | − | 0.695363i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −16.8998 | − | 9.75711i | −0.654363 | − | 0.377797i | ||||
\(668\) | 36.1149i | 1.39733i | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −27.8968 | + | 44.1978i | −1.07775 | + | 1.70751i | ||||
\(671\) | 38.2902 | 1.47818 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −39.7851 | + | 22.9699i | −1.53360 | + | 0.885426i | −0.534411 | + | 0.845225i | \(0.679466\pi\) |
−0.999192 | + | 0.0402007i | \(0.987200\pi\) | |||||||
\(674\) | −44.4379 | − | 76.9687i | −1.71168 | − | 2.96472i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −67.6127 | + | 5.98985i | −2.60049 | + | 0.230379i | ||||
\(677\) | 9.98701i | 0.383832i | 0.981411 | + | 0.191916i | \(0.0614701\pi\) | ||||
−0.981411 | + | 0.191916i | \(0.938530\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 11.3353 | + | 19.6334i | 0.435010 | + | 0.753459i | ||||
\(680\) | −16.4314 | + | 26.0328i | −0.630117 | + | 0.998313i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −59.4623 | − | 34.3305i | −2.27693 | − | 1.31458i | ||||
\(683\) | 11.5330 | + | 6.65861i | 0.441300 | + | 0.254785i | 0.704149 | − | 0.710052i | \(-0.251329\pi\) |
−0.262849 | + | 0.964837i | \(0.584662\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 30.6128 | + | 19.3222i | 1.16965 | + | 0.738264i | ||||
\(686\) | −4.05229 | − | 7.01877i | −0.154717 | − | 0.267978i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 21.1207i | 0.805220i | ||||||||
\(689\) | −20.1384 | − | 10.4694i | −0.767212 | − | 0.398852i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 22.2896 | + | 38.6068i | 0.847938 | + | 1.46867i | 0.883045 | + | 0.469288i | \(0.155489\pi\) |
−0.0351073 | + | 0.999384i | \(0.511177\pi\) | |||||||
\(692\) | 58.3648 | − | 33.6969i | 2.21870 | − | 1.28096i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 37.6823 | 1.43040 | ||||||||
\(695\) | 4.91492 | − | 7.78685i | 0.186433 | − | 0.295372i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 11.1245i | 0.421370i | ||||||||
\(698\) | 16.2337 | + | 9.37252i | 0.614454 | + | 0.354755i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 85.5232 | − | 40.7581i | 3.23247 | − | 1.54051i | ||||
\(701\) | −9.39895 | −0.354994 | −0.177497 | − | 0.984121i | \(-0.556800\pi\) | ||||
−0.177497 | + | 0.984121i | \(0.556800\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 42.3517i | − | 1.59732i | ||||||
\(704\) | 36.8717 | + | 63.8637i | 1.38965 | + | 2.40695i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 18.9248 | − | 32.7787i | 0.712245 | − | 1.23364i | ||||
\(707\) | − | 65.3490i | − | 2.45770i | ||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −3.80896 | + | 6.59731i | −0.143048 | + | 0.247767i | −0.928643 | − | 0.370974i | \(-0.879024\pi\) |
0.785595 | + | 0.618741i | \(0.212357\pi\) | |||||||
\(710\) | −1.30270 | + | 33.0182i | −0.0488896 | + | 1.23915i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 100.192 | − | 57.8459i | 3.75486 | − | 2.16787i | ||||
\(713\) | −25.7400 | + | 14.8610i | −0.963970 | + | 0.556549i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 29.1271 | − | 0.138246i | 1.08929 | − | 0.00517011i | ||||
\(716\) | 116.446 | 4.35180 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −21.0131 | + | 12.1319i | −0.784203 | + | 0.452760i | ||||
\(719\) | 9.60830 | − | 16.6421i | 0.358329 | − | 0.620644i | −0.629353 | − | 0.777120i | \(-0.716680\pi\) |
0.987682 | + | 0.156475i | \(0.0500132\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 10.1796 | − | 17.6316i | 0.379108 | − | 0.656634i | ||||
\(722\) | −8.23699 | − | 4.75563i | −0.306549 | − | 0.176986i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 11.4099 | − | 19.7625i | 0.424045 | − | 0.734468i | ||||
\(725\) | 9.98815 | + | 20.9583i | 0.370951 | + | 0.778370i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 12.8044i | − | 0.474889i | −0.971401 | − | 0.237444i | \(-0.923690\pi\) | ||
0.971401 | − | 0.237444i | \(-0.0763097\pi\) | |||||||
\(728\) | −60.9092 | − | 95.4930i | −2.25744 | − | 3.53921i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −3.71723 | − | 7.06810i | −0.137581 | − | 0.261602i | ||||
\(731\) | −1.31009 | − | 2.26914i | −0.0484555 | − | 0.0839273i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − | 16.0430i | − | 0.592562i | −0.955101 | − | 0.296281i | \(-0.904253\pi\) | ||
0.955101 | − | 0.296281i | \(-0.0957465\pi\) | |||||||
\(734\) | −45.0910 | + | 78.0999i | −1.66434 | + | 2.88272i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 72.0201 | 2.65470 | ||||||||
\(737\) | −27.2143 | − | 15.7122i | −1.00245 | − | 0.578765i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −0.730305 | − | 1.26492i | −0.0268647 | − | 0.0465310i | 0.852280 | − | 0.523085i | \(-0.175219\pi\) |
−0.879145 | + | 0.476554i | \(0.841886\pi\) | |||||||
\(740\) | 4.10602 | − | 104.071i | 0.150940 | − | 3.82572i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | − | 61.3882i | − | 2.25363i | ||||||
\(743\) | −6.65356 | + | 3.84143i | −0.244095 | + | 0.140928i | −0.617058 | − | 0.786918i | \(-0.711675\pi\) |
0.372962 | + | 0.927847i | \(0.378342\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.02146 | − | 1.61832i | 0.0374233 | − | 0.0592908i | ||||
\(746\) | −66.3992 | −2.43105 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −25.9814 | − | 15.0004i | −0.949974 | − | 0.548468i | ||||
\(749\) | −39.7445 | −1.45223 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 5.85165 | + | 10.1354i | 0.213530 | + | 0.369845i | 0.952817 | − | 0.303546i | \(-0.0981706\pi\) |
−0.739287 | + | 0.673391i | \(0.764837\pi\) | |||||||
\(752\) | 74.5360 | − | 43.0334i | 2.71805 | − | 1.56927i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 37.9304 | − | 24.1935i | 1.38135 | − | 0.881076i | ||||
\(755\) | 29.0210 | + | 1.14500i | 1.05618 | + | 0.0416708i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −25.2869 | + | 14.5994i | −0.919068 | + | 0.530624i | −0.883338 | − | 0.468737i | \(-0.844709\pi\) |
−0.0357302 | + | 0.999361i | \(0.511376\pi\) | |||||||
\(758\) | 65.5330 | + | 37.8355i | 2.38026 | + | 1.37425i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −77.7121 | − | 49.0505i | −2.81891 | − | 1.77925i | ||||
\(761\) | 3.92358 | − | 6.79584i | 0.142230 | − | 0.246349i | −0.786106 | − | 0.618091i | \(-0.787906\pi\) |
0.928336 | + | 0.371742i | \(0.121240\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 28.4907 | + | 16.4491i | 1.03143 | + | 0.595497i | ||||
\(764\) | 2.83692 | + | 4.91369i | 0.102636 | + | 0.177771i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 12.4411 | 0.449516 | ||||||||
\(767\) | −1.57919 | − | 2.47584i | −0.0570212 | − | 0.0893975i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −24.5396 | − | 42.5038i | −0.884920 | − | 1.53273i | −0.845806 | − | 0.533491i | \(-0.820880\pi\) |
−0.0391142 | − | 0.999235i | \(-0.512454\pi\) | |||||||
\(770\) | 36.6696 | + | 69.7252i | 1.32148 | + | 2.51272i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 43.7525i | 1.57469i | ||||||||
\(773\) | 15.6080 | + | 9.01131i | 0.561382 | + | 0.324114i | 0.753700 | − | 0.657218i | \(-0.228267\pi\) |
−0.192318 | + | 0.981333i | \(0.561600\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 35.2512 | + | 2.78595i | 1.26626 | + | 0.100074i | ||||
\(776\) | 27.0400 | − | 46.8346i | 0.970678 | − | 1.68126i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 7.04957 | − | 4.07007i | 0.252739 | − | 0.145919i | ||||
\(779\) | −33.2083 | −1.18981 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −19.8675 | −0.710915 | ||||||||
\(782\) | −15.5548 | + | 8.98059i | −0.556240 | + | 0.321145i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 39.5421 | − | 68.4889i | 1.41222 | − | 2.44603i | ||||
\(785\) | −0.780062 | + | 19.7714i | −0.0278416 | + | 0.705671i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 11.6749 | + | 6.74053i | 0.416167 | + | 0.240274i | 0.693436 | − | 0.720518i | \(-0.256096\pi\) |
−0.277269 | + | 0.960792i | \(0.589429\pi\) | |||||||
\(788\) | − | 25.6257i | − | 0.912877i | ||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 33.0867 | − | 17.4008i | 1.17717 | − | 0.619094i | ||||
\(791\) | −10.0717 | − | 17.4447i | −0.358108 | − | 0.620261i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 20.5496 | + | 32.2175i | 0.729736 | + | 1.14408i | ||||
\(794\) | 0.364107 | 0.0129217 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −36.3314 | − | 62.9278i | −1.28773 | − | 2.23042i | ||||
\(797\) | −4.54308 | − | 2.62295i | −0.160924 | − | 0.0929095i | 0.417375 | − | 0.908734i | \(-0.362950\pi\) |
−0.578299 | + | 0.815825i | \(0.696283\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.33861 | + | 9.24674i | −0.188866 | + | 0.327126i | ||||
\(800\) | −70.5988 | − | 48.5553i | −2.49605 | − | 1.71669i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 34.9897 | + | 20.2013i | 1.23553 | + | 0.713334i | ||||
\(803\) | 4.15825 | − | 2.40077i | 0.146741 | − | 0.0847212i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 34.0757 | + | 1.34443i | 1.20101 | + | 0.0473848i | ||||
\(806\) | −3.02636 | − | 68.4562i | −0.106599 | − | 2.41127i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −135.002 | + | 77.9436i | −4.74937 | + | 2.74205i | ||||
\(809\) | −17.2215 | − | 29.8286i | −0.605477 | − | 1.04872i | −0.991976 | − | 0.126427i | \(-0.959649\pi\) |
0.386499 | − | 0.922290i | \(-0.373684\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 7.51649 | 0.263939 | 0.131970 | − | 0.991254i | \(-0.457870\pi\) | ||||
0.131970 | + | 0.991254i | \(0.457870\pi\) | |||||||
\(812\) | 76.1934 | + | 43.9903i | 2.67386 | + | 1.54376i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 86.6072 | 3.03558 | ||||||||
\(815\) | 38.5518 | + | 24.3332i | 1.35041 | + | 0.852355i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 6.77376 | − | 3.91083i | 0.236984 | − | 0.136823i | ||||
\(818\) | − | 46.3491i | − | 1.62056i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −81.6030 | − | 3.21957i | −2.84970 | − | 0.112432i | ||||
\(821\) | 26.4507 | + | 45.8139i | 0.923135 | + | 1.59892i | 0.794533 | + | 0.607220i | \(0.207716\pi\) |
0.128602 | + | 0.991696i | \(0.458951\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −24.3129 | − | 14.0371i | −0.847495 | − | 0.489302i | 0.0123098 | − | 0.999924i | \(-0.496082\pi\) |
−0.859805 | + | 0.510623i | \(0.829415\pi\) | |||||||
\(824\) | −48.5660 | −1.69188 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 3.97125 | − | 6.87841i | 0.138178 | − | 0.239331i | ||||
\(827\) | − | 37.9748i | − | 1.32051i | −0.751040 | − | 0.660256i | \(-0.770448\pi\) | ||
0.751040 | − | 0.660256i | \(-0.229552\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 3.60157 | + | 6.23809i | 0.125088 | + | 0.216658i | 0.921767 | − | 0.387744i | \(-0.126745\pi\) |
−0.796680 | + | 0.604402i | \(0.793412\pi\) | |||||||
\(830\) | 18.5694 | + | 35.3087i | 0.644555 | + | 1.22558i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −33.9468 | + | 65.2982i | −1.17689 | + | 2.26381i | ||||
\(833\) | 9.81097i | 0.339930i | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 13.6887 | − | 7.19912i | 0.473718 | − | 0.249136i | ||||
\(836\) | 44.7785 | − | 77.5586i | 1.54870 | − | 2.68242i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 12.6053 | + | 7.27765i | 0.435441 | + | 0.251402i | ||||
\(839\) | −17.5519 | + | 30.4008i | −0.605960 | + | 1.04955i | 0.385939 | + | 0.922524i | \(0.373877\pi\) |
−0.991899 | + | 0.127029i | \(0.959456\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 3.71976 | − | 6.44282i | 0.128268 | − | 0.222166i | ||||
\(842\) | −76.6694 | + | 44.2651i | −2.64220 | + | 1.52548i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −73.2104 | −2.52000 | ||||||||
\(845\) | 15.7482 | + | 24.4334i | 0.541756 | + | 0.840536i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −6.45023 | + | 3.72404i | −0.221632 | + | 0.127960i | ||||
\(848\) | −69.8896 | + | 40.3508i | −2.40002 | + | 1.38565i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 21.3025 | + | 1.68356i | 0.730670 | + | 0.0577457i | ||||
\(851\) | 18.7453 | − | 32.4677i | 0.642579 | − | 1.11298i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 18.1189i | 0.620379i | 0.950675 | + | 0.310190i | \(0.100393\pi\) | ||||
−0.950675 | + | 0.310190i | \(0.899607\pi\) | |||||||
\(854\) | −51.6768 | + | 89.5069i | −1.76835 | + | 3.06286i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 47.4044 | + | 82.1068i | 1.62025 | + | 2.80635i | ||||
\(857\) | 41.6090i | 1.42134i | 0.703527 | + | 0.710669i | \(0.251608\pi\) | ||||
−0.703527 | + | 0.710669i | \(0.748392\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −39.8609 | −1.36004 | −0.680019 | − | 0.733195i | \(-0.738028\pi\) | ||||
−0.680019 | + | 0.733195i | \(0.738028\pi\) | |||||||
\(860\) | 17.0243 | − | 8.95338i | 0.580525 | − | 0.305308i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 24.4106 | + | 14.0935i | 0.831429 | + | 0.480026i | ||||
\(863\) | 40.0570i | 1.36355i | 0.731560 | + | 0.681777i | \(0.238793\pi\) | ||||
−0.731560 | + | 0.681777i | \(0.761207\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −24.4067 | − | 15.4050i | −0.829851 | − | 0.523787i | ||||
\(866\) | −56.9049 | −1.93371 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 116.050 | − | 67.0013i | 3.93898 | − | 2.27417i | ||||
\(869\) | 11.2383 | + | 19.4653i | 0.381233 | + | 0.660315i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.38508 | − | 31.3305i | −0.0469317 | − | 1.06160i | ||||
\(872\) | − | 78.4773i | − | 2.65758i | ||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −26.8085 | − | 46.4337i | −0.906811 | − | 1.57064i | ||||
\(875\) | −32.4968 | − | 24.2914i | −1.09859 | − | 0.821199i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 43.1914 | + | 24.9366i | 1.45847 | + | 0.842048i | 0.998936 | − | 0.0461120i | \(-0.0146831\pi\) |
0.459534 | + | 0.888160i | \(0.348016\pi\) | |||||||
\(878\) | 27.9421 | + | 16.1324i | 0.942999 | + | 0.544441i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 55.2780 | − | 87.5785i | 1.86342 | − | 2.95227i | ||||
\(881\) | −3.10495 | − | 5.37793i | −0.104608 | − | 0.181187i | 0.808970 | − | 0.587850i | \(-0.200026\pi\) |
−0.913578 | + | 0.406663i | \(0.866692\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 30.9168i | − | 1.04043i | −0.854034 | − | 0.520216i | \(-0.825851\pi\) | ||
0.854034 | − | 0.520216i | \(-0.174149\pi\) | |||||||
\(884\) | −1.32234 | − | 29.9112i | −0.0444749 | − | 1.00602i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −38.8821 | − | 67.3458i | −1.30627 | − | 2.26252i | ||||
\(887\) | −39.7009 | + | 22.9213i | −1.33303 | + | 0.769622i | −0.985762 | − | 0.168145i | \(-0.946222\pi\) |
−0.347263 | + | 0.937768i | \(0.612889\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −36.4430 | −1.22226 | ||||||||
\(890\) | −67.9103 | − | 42.8638i | −2.27636 | − | 1.43680i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 9.47048i | 0.317095i | ||||||||
\(893\) | −27.6030 | − | 15.9366i | −0.923700 | − | 0.533298i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −23.2123 | − | 44.1369i | −0.775902 | − | 1.47533i | ||||
\(896\) | −74.6737 | −2.49467 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | − | 42.6534i | − | 1.42336i | ||||||
\(899\) | 16.4193 | + | 28.4391i | 0.547615 | + | 0.948497i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 5.00581 | − | 8.67032i | 0.166768 | − | 0.288850i | ||||
\(902\) | − | 67.9096i | − | 2.26114i | ||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −24.0256 | + | 41.6136i | −0.799079 | + | 1.38405i | ||||
\(905\) | −9.76509 | − | 0.385273i | −0.324602 | − | 0.0128069i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 12.4257 | − | 7.17400i | 0.412590 | − | 0.238209i | −0.279312 | − | 0.960200i | \(-0.590106\pi\) |
0.691902 | + | 0.721992i | \(0.256773\pi\) | |||||||
\(908\) | −110.239 | + | 63.6466i | −3.65842 | + | 2.11219i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −38.9871 | + | 68.2739i | −1.29241 | + | 2.26326i | ||||
\(911\) | 21.6473 | 0.717209 | 0.358604 | − | 0.933490i | \(-0.383253\pi\) | ||||
0.358604 | + | 0.933490i | \(0.383253\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −20.7726 | + | 11.9930i | −0.687471 | + | 0.396912i | ||||
\(914\) | 42.7262 | − | 74.0040i | 1.41326 | − | 2.44783i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 4.17300 | − | 7.22785i | 0.137880 | − | 0.238815i | ||||
\(917\) | 5.92828 | + | 3.42269i | 0.195769 | + | 0.113027i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −5.51570 | + | 9.55348i | −0.181946 | + | 0.315140i | −0.942543 | − | 0.334084i | \(-0.891573\pi\) |
0.760597 | + | 0.649224i | \(0.224906\pi\) | |||||||
\(920\) | −37.8656 | − | 71.9994i | −1.24839 | − | 2.37375i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 56.8997i | 1.87389i | ||||||||
\(923\) | −10.6625 | − | 16.7165i | −0.350959 | − | 0.550232i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −40.2648 | + | 19.1891i | −1.32390 | + | 0.630935i | ||||
\(926\) | 36.5150 | + | 63.2458i | 1.19996 | + | 2.07839i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | − | 79.5721i | − | 2.61208i | ||||||
\(929\) | 17.9504 | − | 31.0910i | 0.588934 | − | 1.02006i | −0.405438 | − | 0.914122i | \(-0.632881\pi\) |
0.994372 | − | 0.105941i | \(-0.0337856\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −29.2873 | −0.959853 | ||||||||
\(932\) | −45.3201 | − | 26.1656i | −1.48451 | − | 0.857083i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 8.49435 | + | 14.7126i | 0.277944 | + | 0.481413i | ||||
\(935\) | −0.506511 | + | 12.8380i | −0.0165647 | + | 0.419847i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 16.7027i | − | 0.545652i | −0.962063 | − | 0.272826i | \(-0.912042\pi\) | ||
0.962063 | − | 0.272826i | \(-0.0879584\pi\) | |||||||
\(938\) | 73.4573 | − | 42.4106i | 2.39847 | − | 1.38476i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −66.2839 | − | 41.8372i | −2.16194 | − | 1.36458i | ||||
\(941\) | 36.3982 | 1.18655 | 0.593274 | − | 0.805000i | \(-0.297835\pi\) | ||||
0.593274 | + | 0.805000i | \(0.297835\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −25.4583 | − | 14.6983i | −0.829035 | − | 0.478644i | ||||
\(944\) | −10.4413 | −0.339835 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 7.99748 | + | 13.8520i | 0.260020 | + | 0.450369i | ||||
\(947\) | 21.7433 | − | 12.5535i | 0.706563 | − | 0.407935i | −0.103224 | − | 0.994658i | \(-0.532916\pi\) |
0.809787 | + | 0.586724i | \(0.199582\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 4.25166 | + | 2.21032i | 0.138015 | + | 0.0717500i | ||||
\(950\) | −5.02571 | + | 63.5914i | −0.163055 | + | 2.06318i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 43.2669 | − | 24.9802i | 1.40229 | − | 0.809612i | ||||
\(953\) | −12.4181 | − | 7.16961i | −0.402262 | − | 0.232246i | 0.285197 | − | 0.958469i | \(-0.407941\pi\) |
−0.687460 | + | 0.726222i | \(0.741274\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1.29694 | − | 2.05478i | 0.0419679 | − | 0.0664910i | ||||
\(956\) | 38.1450 | − | 66.0690i | 1.23370 | − | 2.13682i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 38.6549 | + | 22.3174i | 1.24888 | + | 0.721043i | ||||
\(959\) | −29.3749 | − | 50.8789i | −0.948566 | − | 1.64296i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 19.0163 | 0.613429 | ||||||||
\(962\) | 46.4803 | + | 72.8715i | 1.49859 | + | 2.34947i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 34.6068 | + | 59.9407i | 1.11461 | + | 1.93056i | ||||
\(965\) | 16.5836 | − | 8.72160i | 0.533846 | − | 0.280758i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 12.4611i | 0.400722i | 0.979722 | + | 0.200361i | \(0.0642115\pi\) | ||||
−0.979722 | + | 0.200361i | \(0.935788\pi\) | |||||||
\(968\) | 15.3868 | + | 8.88355i | 0.494549 | + | 0.285528i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −37.5099 | − | 1.47992i | −1.20437 | − | 0.0475173i | ||||
\(971\) | −28.1119 | + | 48.6912i | −0.902152 | + | 1.56257i | −0.0774574 | + | 0.996996i | \(0.524680\pi\) |
−0.824695 | + | 0.565578i | \(0.808653\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −12.9419 | + | 7.47198i | −0.414897 | + | 0.239541i | ||||
\(974\) | 74.7381 | 2.39476 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 135.870 | 4.34908 | ||||||||
\(977\) | −28.5793 | + | 16.5003i | −0.914334 | + | 0.527891i | −0.881823 | − | 0.471580i | \(-0.843684\pi\) |
−0.0325110 | + | 0.999471i | \(0.510350\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 24.1419 | − | 41.8150i | 0.771579 | − | 1.33641i | ||||
\(980\) | −71.9679 | − | 2.83943i | −2.29893 | − | 0.0907022i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −74.3695 | − | 42.9372i | −2.37322 | − | 1.37018i | ||||
\(983\) | 8.72308i | 0.278223i | 0.990277 | + | 0.139111i | \(0.0444246\pi\) | ||||
−0.990277 | + | 0.139111i | \(0.955575\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −9.71298 | + | 5.10821i | −0.309481 | + | 0.162761i | ||||
\(986\) | 9.92229 | + | 17.1859i | 0.315990 | + | 0.547311i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 89.2897 | − | 3.94738i | 2.84068 | − | 0.125583i | ||||
\(989\) | 6.92389 | 0.220167 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −1.93361 | − | 3.34911i | −0.0614231 | − | 0.106388i | 0.833679 | − | 0.552250i | \(-0.186231\pi\) |
−0.895102 | + | 0.445862i | \(0.852897\pi\) | |||||||
\(992\) | −104.959 | − | 60.5979i | −3.33244 | − | 1.92398i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 26.8134 | − | 46.4421i | 0.850468 | − | 1.47305i | ||||
\(995\) | −16.6094 | + | 26.3148i | −0.526554 | + | 0.834235i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −16.6839 | − | 9.63247i | −0.528385 | − | 0.305063i | 0.211974 | − | 0.977275i | \(-0.432011\pi\) |
−0.740359 | + | 0.672212i | \(0.765344\pi\) | |||||||
\(998\) | 93.7345 | − | 54.1176i | 2.96711 | − | 1.71306i | ||||
\(999\) | 0 | 0 |
(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 | 585.2.bs.c.289.15 | yes | 32 | |
3.2 | odd | 2 | inner | 585.2.bs.c.289.2 | yes | 32 | |
5.4 | even | 2 | inner | 585.2.bs.c.289.1 | ✓ | 32 | |
13.9 | even | 3 | inner | 585.2.bs.c.334.1 | yes | 32 | |
15.14 | odd | 2 | inner | 585.2.bs.c.289.16 | yes | 32 | |
39.35 | odd | 6 | inner | 585.2.bs.c.334.16 | yes | 32 | |
65.9 | even | 6 | inner | 585.2.bs.c.334.15 | yes | 32 | |
195.74 | odd | 6 | inner | 585.2.bs.c.334.2 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
585.2.bs.c.289.1 | ✓ | 32 | 5.4 | even | 2 | inner | |
585.2.bs.c.289.2 | yes | 32 | 3.2 | odd | 2 | inner | |
585.2.bs.c.289.15 | yes | 32 | 1.1 | even | 1 | trivial | |
585.2.bs.c.289.16 | yes | 32 | 15.14 | odd | 2 | inner | |
585.2.bs.c.334.1 | yes | 32 | 13.9 | even | 3 | inner | |
585.2.bs.c.334.2 | yes | 32 | 195.74 | odd | 6 | inner | |
585.2.bs.c.334.15 | yes | 32 | 65.9 | even | 6 | inner | |
585.2.bs.c.334.16 | yes | 32 | 39.35 | odd | 6 | inner |