Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,3,Mod(41,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 17]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.41");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.u (of order \(18\), 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: | \(5.88557371018\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 41.9 | ||
Character | \(\chi\) | \(=\) | 216.41 |
Dual form | 216.3.u.a.137.9 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{17}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.111253 | + | 2.99794i | 0.0370845 | + | 0.999312i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.18378 | + | 2.60253i | −0.436757 | + | 0.520507i | −0.938859 | − | 0.344302i | \(-0.888116\pi\) |
0.502102 | + | 0.864808i | \(0.332560\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −6.99436 | − | 2.54574i | −0.999194 | − | 0.363677i | −0.209920 | − | 0.977718i | \(-0.567320\pi\) |
−0.789274 | + | 0.614042i | \(0.789543\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −8.97525 | + | 0.667061i | −0.997249 | + | 0.0741179i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −4.16991 | − | 4.96950i | −0.379083 | − | 0.451773i | 0.542442 | − | 0.840093i | \(-0.317500\pi\) |
−0.921524 | + | 0.388320i | \(0.873055\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.380081 | + | 2.15555i | −0.0292370 | + | 0.165811i | −0.995930 | − | 0.0901262i | \(-0.971273\pi\) |
0.966693 | + | 0.255937i | \(0.0823841\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −8.04518 | − | 6.25731i | −0.536346 | − | 0.417154i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 5.93670 | + | 3.42755i | 0.349218 | + | 0.201621i | 0.664341 | − | 0.747430i | \(-0.268712\pi\) |
−0.315123 | + | 0.949051i | \(0.602046\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −15.2207 | − | 26.3631i | −0.801091 | − | 1.38753i | −0.918899 | − | 0.394494i | \(-0.870920\pi\) |
0.117807 | − | 0.993036i | \(-0.462413\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 6.85381 | − | 21.2519i | 0.326372 | − | 1.01199i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 6.13455 | + | 16.8545i | 0.266720 | + | 0.732806i | 0.998675 | + | 0.0514539i | \(0.0163855\pi\) |
−0.731956 | + | 0.681352i | \(0.761392\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.33694 | + | 13.2534i | 0.0934776 | + | 0.530138i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −2.99833 | − | 26.8330i | −0.111049 | − | 0.993815i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −19.8076 | + | 3.49261i | −0.683020 | + | 0.120435i | −0.504383 | − | 0.863480i | \(-0.668280\pi\) |
−0.178637 | + | 0.983915i | \(0.557169\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −54.7865 | + | 19.9407i | −1.76731 | + | 0.643247i | −0.767309 | + | 0.641278i | \(0.778405\pi\) |
−0.999998 | + | 0.00196904i | \(0.999373\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 14.4343 | − | 13.0540i | 0.437404 | − | 0.395576i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 21.8995 | − | 12.6437i | 0.625701 | − | 0.361249i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.23715 | + | 7.33896i | −0.114518 | + | 0.198350i | −0.917587 | − | 0.397535i | \(-0.869866\pi\) |
0.803069 | + | 0.595886i | \(0.203199\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −6.50447 | − | 0.899646i | −0.166781 | − | 0.0230679i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 57.5289 | + | 10.1439i | 1.40314 | + | 0.247412i | 0.823434 | − | 0.567412i | \(-0.192055\pi\) |
0.579709 | + | 0.814824i | \(0.303166\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −44.8479 | + | 37.6319i | −1.04297 | + | 0.875160i | −0.992337 | − | 0.123557i | \(-0.960570\pi\) |
−0.0506373 | + | 0.998717i | \(0.516125\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 17.8640 | − | 24.8151i | 0.396977 | − | 0.551447i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −11.0508 | + | 30.3618i | −0.235123 | + | 0.645995i | 0.764875 | + | 0.644178i | \(0.222801\pi\) |
−0.999998 | + | 0.00181691i | \(0.999422\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.90408 | + | 4.11501i | 0.100083 | + | 0.0839798i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −9.61511 | + | 18.1792i | −0.188532 | + | 0.356454i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 36.5011i | 0.688700i | 0.938841 | + | 0.344350i | \(0.111901\pi\) | ||||
−0.938841 | + | 0.344350i | \(0.888099\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 22.0395 | 0.400718 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 77.3415 | − | 48.5638i | 1.35687 | − | 0.851996i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −11.8435 | + | 14.1145i | −0.200737 | + | 0.239229i | −0.857017 | − | 0.515289i | \(-0.827685\pi\) |
0.656280 | + | 0.754518i | \(0.272129\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.97280 | + | 1.80995i | 0.0815213 | + | 0.0296713i | 0.382459 | − | 0.923973i | \(-0.375077\pi\) |
−0.300938 | + | 0.953644i | \(0.597300\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 64.4742 | + | 18.1830i | 1.02340 | + | 0.288618i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −4.77986 | − | 5.69642i | −0.0735364 | − | 0.0876372i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 11.3273 | − | 64.2402i | 0.169064 | − | 0.958809i | −0.775711 | − | 0.631088i | \(-0.782608\pi\) |
0.944775 | − | 0.327720i | \(-0.106280\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −49.8464 | + | 20.2661i | −0.722411 | + | 0.293712i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 59.6010 | + | 34.4107i | 0.839451 | + | 0.484657i | 0.857078 | − | 0.515187i | \(-0.172278\pi\) |
−0.0176267 | + | 0.999845i | \(0.505611\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 19.4734 | + | 33.7290i | 0.266759 | + | 0.462041i | 0.968023 | − | 0.250861i | \(-0.0807138\pi\) |
−0.701264 | + | 0.712902i | \(0.747380\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −39.4730 | + | 8.48049i | −0.526307 | + | 0.113073i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 16.5148 | + | 45.3740i | 0.214478 | + | 0.589272i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.14606 | + | 17.8422i | 0.0398235 | + | 0.225851i | 0.998224 | − | 0.0595775i | \(-0.0189754\pi\) |
−0.958400 | + | 0.285428i | \(0.907864\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 80.1101 | − | 11.9741i | 0.989013 | − | 0.147828i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 104.452 | − | 18.4177i | 1.25846 | − | 0.221900i | 0.495648 | − | 0.868524i | \(-0.334931\pi\) |
0.762809 | + | 0.646624i | \(0.223820\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −21.8848 | + | 7.96541i | −0.257468 | + | 0.0937108i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −12.6743 | − | 58.9933i | −0.145681 | − | 0.678084i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 38.3336 | − | 22.1319i | 0.430714 | − | 0.248673i | −0.268937 | − | 0.963158i | \(-0.586672\pi\) |
0.699651 | + | 0.714485i | \(0.253339\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 8.14587 | − | 14.1091i | 0.0895151 | − | 0.155045i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −65.8760 | − | 162.028i | −0.708344 | − | 1.74224i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 101.850 | + | 17.9588i | 1.07210 | + | 0.189040i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −56.7201 | + | 47.5938i | −0.584744 | + | 0.490658i | −0.886501 | − | 0.462727i | \(-0.846871\pi\) |
0.301757 | + | 0.953385i | \(0.402427\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 40.7409 | + | 41.8209i | 0.411524 | + | 0.422434i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −65.3202 | + | 179.466i | −0.646735 | + | 1.77689i | −0.0172813 | + | 0.999851i | \(0.505501\pi\) |
−0.629453 | + | 0.777038i | \(0.716721\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −89.6800 | − | 75.2504i | −0.870679 | − | 0.730587i | 0.0935617 | − | 0.995613i | \(-0.470175\pi\) |
−0.964241 | + | 0.265027i | \(0.914619\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 40.3414 | + | 64.2468i | 0.384204 | + | 0.611874i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | − | 181.297i | − | 1.69436i | −0.531305 | − | 0.847181i | \(-0.678298\pi\) | ||
0.531305 | − | 0.847181i | \(-0.321702\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 48.8624 | 0.448279 | 0.224139 | − | 0.974557i | \(-0.428043\pi\) | ||||
0.224139 | + | 0.974557i | \(0.428043\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −22.4731 | − | 11.8862i | −0.202461 | − | 0.107083i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −10.8538 | + | 12.9351i | −0.0960516 | + | 0.114470i | −0.811929 | − | 0.583756i | \(-0.801582\pi\) |
0.715877 | + | 0.698226i | \(0.246027\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −57.2610 | − | 20.8413i | −0.497922 | − | 0.181229i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 1.97344 | − | 19.6001i | 0.0168670 | − | 0.167522i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −32.7977 | − | 39.0868i | −0.275611 | − | 0.328461i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 13.7036 | − | 77.7170i | 0.113253 | − | 0.642289i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −24.0105 | + | 173.596i | −0.195207 | + | 1.41135i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −113.151 | − | 65.3278i | −0.905208 | − | 0.522622i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.68727 | + | 16.7788i | 0.0762777 | + | 0.132117i | 0.901641 | − | 0.432485i | \(-0.142363\pi\) |
−0.825363 | + | 0.564602i | \(0.809030\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −117.807 | − | 130.265i | −0.913236 | − | 1.00980i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 61.6846 | + | 169.477i | 0.470875 | + | 1.29372i | 0.917050 | + | 0.398773i | \(0.130564\pi\) |
−0.446175 | + | 0.894946i | \(0.647214\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 39.3457 | + | 223.141i | 0.295833 | + | 1.67775i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 76.3815 | + | 50.7942i | 0.565789 | + | 0.376254i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −188.206 | + | 33.1857i | −1.37376 | + | 0.242232i | −0.811319 | − | 0.584604i | \(-0.801250\pi\) |
−0.562444 | + | 0.826835i | \(0.690139\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −221.713 | + | 80.6969i | −1.59506 | + | 0.580553i | −0.978408 | − | 0.206684i | \(-0.933733\pi\) |
−0.616650 | + | 0.787238i | \(0.711511\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −92.2521 | − | 29.7517i | −0.654270 | − | 0.211005i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 12.2969 | − | 7.09961i | 0.0859922 | − | 0.0496476i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 34.1659 | − | 59.1770i | 0.235627 | − | 0.408117i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −11.7910 | + | 15.1599i | −0.0802105 | + | 0.103129i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −212.088 | − | 37.3969i | −1.42341 | − | 0.250986i | −0.591683 | − | 0.806170i | \(-0.701536\pi\) |
−0.831727 | + | 0.555185i | \(0.812648\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 91.6248 | − | 76.8823i | 0.606786 | − | 0.509154i | −0.286832 | − | 0.957981i | \(-0.592602\pi\) |
0.893619 | + | 0.448826i | \(0.148158\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −55.5697 | − | 26.8030i | −0.363201 | − | 0.175183i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 67.7457 | − | 186.130i | 0.437069 | − | 1.20084i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −41.0206 | − | 34.4204i | −0.261278 | − | 0.219238i | 0.502733 | − | 0.864442i | \(-0.332328\pi\) |
−0.764011 | + | 0.645204i | \(0.776772\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −109.428 | + | 4.06087i | −0.688226 | + | 0.0255401i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 133.504i | − | 0.829215i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 309.914 | 1.90131 | 0.950657 | − | 0.310243i | \(-0.100410\pi\) | ||||
0.950657 | + | 0.310243i | \(0.100410\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 2.45197 | + | 66.0730i | 0.0148604 | + | 0.400442i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −25.6872 | + | 30.6128i | −0.153816 | + | 0.183310i | −0.837449 | − | 0.546515i | \(-0.815954\pi\) |
0.683634 | + | 0.729825i | \(0.260399\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 154.306 | + | 56.1628i | 0.913054 | + | 0.332325i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 154.196 | + | 226.462i | 0.901729 | + | 1.32434i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −204.150 | − | 243.297i | −1.18006 | − | 1.40634i | −0.893963 | − | 0.448141i | \(-0.852086\pi\) |
−0.286097 | − | 0.958201i | \(-0.592358\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 17.3944 | − | 98.6486i | 0.0993966 | − | 0.563706i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −43.6320 | − | 33.9357i | −0.246508 | − | 0.191727i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −76.1643 | − | 43.9735i | −0.425499 | − | 0.245662i | 0.271928 | − | 0.962317i | \(-0.412339\pi\) |
−0.697427 | + | 0.716656i | \(0.745672\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −151.692 | − | 262.738i | −0.838077 | − | 1.45159i | −0.891500 | − | 0.453020i | \(-0.850346\pi\) |
0.0534230 | − | 0.998572i | \(-0.482987\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −4.87288 | + | 15.1095i | −0.0266277 | + | 0.0825656i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −9.84687 | − | 27.0540i | −0.0532263 | − | 0.146238i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −7.72225 | − | 43.7950i | −0.0412954 | − | 0.234198i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −47.3384 | + | 195.313i | −0.250468 | + | 1.03340i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −295.788 | + | 52.1553i | −1.54863 | + | 0.273065i | −0.881610 | − | 0.471979i | \(-0.843540\pi\) |
−0.667016 | + | 0.745043i | \(0.732429\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 231.020 | − | 84.0842i | 1.19699 | − | 0.435670i | 0.334819 | − | 0.942283i | \(-0.391325\pi\) |
0.862174 | + | 0.506613i | \(0.169103\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 16.5457 | − | 14.9635i | 0.0848499 | − | 0.0767358i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 293.891 | − | 169.678i | 1.49183 | − | 0.861309i | 0.491875 | − | 0.870666i | \(-0.336312\pi\) |
0.999956 | + | 0.00935613i | \(0.00297819\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −51.5586 | + | 89.3022i | −0.259089 | + | 0.448755i | −0.965998 | − | 0.258549i | \(-0.916755\pi\) |
0.706909 | + | 0.707304i | \(0.250089\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 193.848 | + | 26.8115i | 0.964419 | + | 0.133391i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 147.433 | + | 25.9963i | 0.726269 | + | 0.128061i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −152.031 | + | 127.569i | −0.741612 | + | 0.622287i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −66.3021 | − | 147.182i | −0.320300 | − | 0.711022i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −67.5424 | + | 185.571i | −0.323169 | + | 0.887900i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −149.423 | − | 125.381i | −0.708166 | − | 0.594222i | 0.215918 | − | 0.976411i | \(-0.430726\pi\) |
−0.924084 | + | 0.382190i | \(0.875170\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −96.5302 | + | 182.508i | −0.453193 | + | 0.856847i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | − | 198.898i | − | 0.925107i | ||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 433.960 | 1.99982 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −98.9508 | + | 62.1326i | −0.451830 | + | 0.283710i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −9.64467 | + | 11.4941i | −0.0436411 | + | 0.0520094i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 291.677 | + | 106.162i | 1.30797 | + | 0.476062i | 0.899584 | − | 0.436747i | \(-0.143869\pi\) |
0.408386 | + | 0.912809i | \(0.366092\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −29.8155 | − | 117.394i | −0.132513 | − | 0.521751i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 11.3951 | + | 13.5801i | 0.0501987 | + | 0.0598244i | 0.790560 | − | 0.612385i | \(-0.209790\pi\) |
−0.740361 | + | 0.672210i | \(0.765345\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −33.3954 | + | 189.395i | −0.145831 | + | 0.827051i | 0.820864 | + | 0.571123i | \(0.193492\pi\) |
−0.966696 | + | 0.255928i | \(0.917619\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −134.191 | + | 54.5583i | −0.580913 | + | 0.236183i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 175.680 | + | 101.429i | 0.753993 | + | 0.435318i | 0.827135 | − | 0.562003i | \(-0.189969\pi\) |
−0.0731417 | + | 0.997322i | \(0.523303\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −54.8850 | − | 95.0636i | −0.233553 | − | 0.404526i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −53.1397 | + | 11.4167i | −0.224218 | + | 0.0481717i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 69.0968 | + | 189.842i | 0.289108 | + | 0.794317i | 0.996192 | + | 0.0871877i | \(0.0277880\pi\) |
−0.707084 | + | 0.707129i | \(0.749990\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 38.5050 | + | 218.373i | 0.159772 | + | 0.906110i | 0.954293 | + | 0.298873i | \(0.0966109\pi\) |
−0.794521 | + | 0.607237i | \(0.792278\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 44.8100 | + | 238.833i | 0.184403 | + | 0.982851i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −21.4189 | + | 3.77673i | −0.0874241 | + | 0.0154152i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 62.6119 | − | 22.7889i | 0.253490 | − | 0.0922626i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 66.8357 | + | 311.091i | 0.268417 | + | 1.24936i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −64.5660 | + | 37.2772i | −0.257235 | + | 0.148515i | −0.623073 | − | 0.782164i | \(-0.714116\pi\) |
0.365838 | + | 0.930679i | \(0.380783\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 58.1782 | − | 100.768i | 0.229953 | − | 0.398291i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −26.3146 | − | 64.7231i | −0.103194 | − | 0.253816i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 307.492 | + | 54.2191i | 1.19647 | + | 0.210969i | 0.736171 | − | 0.676796i | \(-0.236632\pi\) |
0.460296 | + | 0.887765i | \(0.347743\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 48.3192 | − | 40.5446i | 0.186561 | − | 0.156543i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 175.448 | − | 44.5599i | 0.672215 | − | 0.170728i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 28.1752 | − | 77.4108i | 0.107130 | − | 0.294337i | −0.874532 | − | 0.484968i | \(-0.838831\pi\) |
0.981662 | + | 0.190631i | \(0.0610533\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −94.9953 | − | 79.7105i | −0.358473 | − | 0.300795i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 70.6147 | + | 112.459i | 0.264475 | + | 0.421196i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 232.151i | 0.863013i | 0.902110 | + | 0.431507i | \(0.142018\pi\) | ||||
−0.902110 | + | 0.431507i | \(0.857982\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 452.189 | 1.66859 | 0.834296 | − | 0.551316i | \(-0.185874\pi\) | ||||
0.834296 | + | 0.551316i | \(0.185874\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 43.2043 | + | 22.8511i | 0.158258 | + | 0.0837038i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 56.1182 | − | 66.8791i | 0.204066 | − | 0.243197i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −25.5129 | − | 9.28593i | −0.0921043 | − | 0.0335232i | 0.295557 | − | 0.955325i | \(-0.404495\pi\) |
−0.387661 | + | 0.921802i | \(0.626717\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 478.421 | − | 215.518i | 1.71477 | − | 0.772467i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −130.043 | − | 154.980i | −0.462788 | − | 0.551529i | 0.483293 | − | 0.875459i | \(-0.339441\pi\) |
−0.946081 | + | 0.323929i | \(0.894996\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −38.3285 | + | 217.372i | −0.135436 | + | 0.768098i | 0.839118 | + | 0.543949i | \(0.183071\pi\) |
−0.974555 | + | 0.224149i | \(0.928040\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −42.5083 | + | 307.337i | −0.149152 | + | 1.07837i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −376.554 | − | 217.403i | −1.31203 | − | 0.757503i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −121.004 | − | 209.585i | −0.418698 | − | 0.725206i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −148.994 | − | 164.748i | −0.512006 | − | 0.566146i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −76.1408 | − | 209.195i | −0.259866 | − | 0.713976i | −0.999175 | − | 0.0406100i | \(-0.987070\pi\) |
0.739309 | − | 0.673366i | \(-0.235152\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −10.8699 | − | 61.6460i | −0.0368470 | − | 0.208970i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −120.844 | + | 126.791i | −0.406882 | + | 0.426907i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −38.6623 | + | 6.81721i | −0.129306 | + | 0.0228000i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 409.483 | − | 149.040i | 1.36041 | − | 0.495149i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −545.294 | − | 175.860i | −1.79965 | − | 0.580395i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −15.5700 | + | 8.98933i | −0.0510491 | + | 0.0294732i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −66.4225 | + | 115.047i | −0.216360 | + | 0.374746i | −0.953692 | − | 0.300784i | \(-0.902752\pi\) |
0.737332 | + | 0.675530i | \(0.236085\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 215.619 | − | 277.227i | 0.697795 | − | 0.897174i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −159.322 | − | 28.0927i | −0.512288 | − | 0.0903302i | −0.0884723 | − | 0.996079i | \(-0.528198\pi\) |
−0.423816 | + | 0.905748i | \(0.639310\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −106.117 | + | 89.0424i | −0.339031 | + | 0.284481i | −0.796368 | − | 0.604813i | \(-0.793248\pi\) |
0.457337 | + | 0.889294i | \(0.348803\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −188.120 | + | 128.089i | −0.597205 | + | 0.406631i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 3.91556 | − | 10.7579i | 0.0123519 | − | 0.0339367i | −0.933363 | − | 0.358933i | \(-0.883141\pi\) |
0.945715 | + | 0.324996i | \(0.105363\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 99.9524 | + | 83.8700i | 0.313330 | + | 0.262915i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 543.516 | − | 20.1699i | 1.69320 | − | 0.0628345i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 208.680i | − | 0.646067i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −29.4566 | −0.0906358 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 5.43610 | + | 146.486i | 0.0166242 | + | 0.447970i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 154.586 | − | 184.229i | 0.469867 | − | 0.559966i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −596.921 | − | 217.262i | −1.80339 | − | 0.656380i | −0.997971 | − | 0.0636711i | \(-0.979719\pi\) |
−0.805417 | − | 0.592708i | \(-0.798059\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 33.1339 | − | 68.6954i | 0.0995013 | − | 0.206293i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 142.451 | + | 169.766i | 0.425227 | + | 0.506765i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 53.3463 | − | 302.542i | 0.158298 | − | 0.897751i | −0.797411 | − | 0.603437i | \(-0.793798\pi\) |
0.955709 | − | 0.294314i | \(-0.0950913\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −39.9861 | − | 31.1000i | −0.117953 | − | 0.0917405i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 327.550 | + | 189.111i | 0.960557 | + | 0.554578i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 158.534 | + | 274.589i | 0.462199 | + | 0.800552i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 56.1105 | − | 173.984i | 0.162639 | − | 0.504300i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 3.90527 | + | 10.7296i | 0.0112544 | + | 0.0309211i | 0.945193 | − | 0.326513i | \(-0.105874\pi\) |
−0.933938 | + | 0.357434i | \(0.883652\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 10.4419 | + | 59.2190i | 0.0299195 | + | 0.169682i | 0.996106 | − | 0.0881616i | \(-0.0280992\pi\) |
−0.966187 | + | 0.257844i | \(0.916988\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 58.9794 | + | 3.73567i | 0.168032 | + | 0.0106429i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −67.7610 | + | 11.9481i | −0.191958 | + | 0.0338473i | −0.268800 | − | 0.963196i | \(-0.586627\pi\) |
0.0768427 | + | 0.997043i | \(0.475516\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −219.711 | + | 79.9681i | −0.618903 | + | 0.225262i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 113.531 | − | 102.674i | 0.318014 | − | 0.287602i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −341.857 | + | 197.371i | −0.952248 | + | 0.549780i | −0.893778 | − | 0.448509i | \(-0.851955\pi\) |
−0.0584693 | + | 0.998289i | \(0.518622\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −282.841 | + | 489.895i | −0.783494 | + | 1.35705i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 234.515 | + | 32.4363i | 0.646047 | + | 0.0893561i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −130.307 | − | 22.9766i | −0.357004 | − | 0.0629495i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −54.4331 | + | 45.6748i | −0.148319 | + | 0.124455i | −0.713928 | − | 0.700219i | \(-0.753086\pi\) |
0.565609 | + | 0.824674i | \(0.308641\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −523.102 | − | 52.6687i | −1.41762 | − | 0.142733i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 92.9222 | − | 255.302i | 0.250464 | − | 0.688145i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −176.007 | − | 147.688i | −0.471870 | − | 0.395946i | 0.375606 | − | 0.926779i | \(-0.377435\pi\) |
−0.847476 | + | 0.530833i | \(0.821879\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 183.260 | − | 346.488i | 0.488694 | − | 0.923967i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | − | 44.0236i | − | 0.116774i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −150.157 | −0.396192 | −0.198096 | − | 0.980183i | \(-0.563476\pi\) | ||||
−0.198096 | + | 0.980183i | \(0.563476\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −49.2242 | + | 30.9085i | −0.129197 | + | 0.0811247i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −471.111 | + | 561.448i | −1.23006 | + | 1.46592i | −0.392336 | + | 0.919822i | \(0.628333\pi\) |
−0.837720 | + | 0.546101i | \(0.816112\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −154.152 | − | 56.1067i | −0.400395 | − | 0.145732i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 377.418 | − | 367.672i | 0.975241 | − | 0.950056i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 438.382 | + | 522.443i | 1.12694 | + | 1.34304i | 0.932098 | + | 0.362207i | \(0.117977\pi\) |
0.194847 | + | 0.980834i | \(0.437579\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −21.3509 | + | 121.087i | −0.0546058 | + | 0.309685i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −501.219 | + | 203.781i | −1.27537 | + | 0.518528i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −53.3052 | − | 30.7758i | −0.134950 | − | 0.0779134i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −341.008 | − | 590.643i | −0.858962 | − | 1.48777i | −0.872920 | − | 0.487864i | \(-0.837776\pi\) |
0.0139574 | − | 0.999903i | \(-0.495557\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −664.585 | + | 142.781i | −1.66563 | + | 0.357848i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −26.3758 | − | 72.4668i | −0.0657750 | − | 0.180715i | 0.902451 | − | 0.430793i | \(-0.141766\pi\) |
−0.968226 | + | 0.250078i | \(0.919544\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −22.1597 | − | 125.674i | −0.0549868 | − | 0.311846i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −143.780 | + | 234.638i | −0.355013 | + | 0.579353i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 54.1395 | − | 9.54626i | 0.133021 | − | 0.0234552i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −504.537 | + | 183.636i | −1.23359 | + | 0.448989i | −0.874824 | − | 0.484441i | \(-0.839023\pi\) |
−0.358762 | + | 0.933429i | \(0.616801\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −120.427 | − | 560.536i | −0.293010 | − | 1.36384i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 118.769 | − | 68.5714i | 0.287577 | − | 0.166033i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −180.168 | + | 312.060i | −0.434140 | + | 0.751952i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −266.591 | − | 655.704i | −0.639306 | − | 1.57243i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 130.177 | + | 22.9537i | 0.310685 | + | 0.0547822i | 0.326817 | − | 0.945088i | \(-0.394024\pi\) |
−0.0161316 | + | 0.999870i | \(0.505135\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −88.4764 | + | 74.2405i | −0.210158 | + | 0.176343i | −0.741791 | − | 0.670632i | \(-0.766023\pi\) |
0.531633 | + | 0.846975i | \(0.321579\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 78.9303 | − | 279.876i | 0.186597 | − | 0.661645i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −31.5532 | + | 86.6917i | −0.0742428 | + | 0.203980i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −30.1739 | − | 25.3189i | −0.0706648 | − | 0.0592948i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 22.6523 | + | 36.0754i | 0.0528025 | + | 0.0840919i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 780.590i | 1.81111i | 0.424224 | + | 0.905557i | \(0.360547\pi\) | ||||
−0.424224 | + | 0.905557i | \(0.639453\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −506.835 | −1.17052 | −0.585259 | − | 0.810846i | \(-0.699007\pi\) | ||||
−0.585259 | + | 0.810846i | \(0.699007\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 181.210 | + | 95.8435i | 0.416575 | + | 0.220330i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 350.965 | − | 418.264i | 0.803124 | − | 0.957126i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 561.549 | + | 204.387i | 1.27916 | + | 0.465574i | 0.890153 | − | 0.455662i | \(-0.150598\pi\) |
0.389002 | + | 0.921237i | \(0.372820\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −46.7603 | − | 33.6619i | −0.106032 | − | 0.0763309i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 311.050 | + | 370.695i | 0.702144 | + | 0.836782i | 0.992767 | − | 0.120055i | \(-0.0383071\pi\) |
−0.290623 | + | 0.956838i | \(0.593863\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −26.1133 | + | 148.096i | −0.0586815 | + | 0.332799i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 88.5179 | − | 639.987i | 0.198027 | − | 1.43174i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 232.287 | + | 134.111i | 0.517343 | + | 0.298688i | 0.735847 | − | 0.677148i | \(-0.236784\pi\) |
−0.218504 | + | 0.975836i | \(0.570118\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −189.480 | − | 328.189i | −0.420133 | − | 0.727692i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 240.682 | + | 266.132i | 0.531306 | + | 0.587487i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 18.9305 | + | 52.0111i | 0.0416055 | + | 0.114310i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −62.0589 | − | 351.953i | −0.135796 | − | 0.770139i | −0.974302 | − | 0.225246i | \(-0.927681\pi\) |
0.838506 | − | 0.544893i | \(-0.183430\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 74.1714 | − | 169.576i | 0.161593 | − | 0.369447i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 83.5773 | − | 14.7369i | 0.181296 | − | 0.0319673i | −0.0822632 | − | 0.996611i | \(-0.526215\pi\) |
0.263559 | + | 0.964643i | \(0.415104\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −204.556 | + | 74.4524i | −0.441806 | + | 0.160804i | −0.553339 | − | 0.832956i | \(-0.686646\pi\) |
0.111532 | + | 0.993761i | \(0.464424\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 565.542 | + | 182.390i | 1.21622 | + | 0.392236i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 374.773 | − | 216.375i | 0.802512 | − | 0.463330i | −0.0418370 | − | 0.999124i | \(-0.513321\pi\) |
0.844349 | + | 0.535794i | \(0.179988\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −242.766 | + | 420.483i | −0.517624 | + | 0.896552i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 98.6265 | − | 126.807i | 0.209398 | − | 0.269229i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 374.023 | + | 65.9504i | 0.790747 | + | 0.139430i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 313.832 | − | 263.336i | 0.660698 | − | 0.554392i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −24.3485 | − | 327.606i | −0.0510450 | − | 0.686806i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 50.2428 | − | 138.041i | 0.104891 | − | 0.288186i | −0.876134 | − | 0.482068i | \(-0.839886\pi\) |
0.981025 | + | 0.193882i | \(0.0621080\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −14.2090 | − | 11.9228i | −0.0295405 | − | 0.0247875i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 400.235 | − | 14.8527i | 0.828645 | − | 0.0307510i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | − | 251.551i | − | 0.518661i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 733.027 | 1.50519 | 0.752595 | − | 0.658484i | \(-0.228802\pi\) | ||||
0.752595 | + | 0.658484i | \(0.228802\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 34.4790 | + | 929.103i | 0.0705092 | + | 1.90001i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −262.913 | + | 313.328i | −0.535465 | + | 0.638142i | −0.964164 | − | 0.265305i | \(-0.914527\pi\) |
0.428700 | + | 0.903447i | \(0.358972\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −129.563 | − | 47.1570i | −0.262805 | − | 0.0956531i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −197.810 | + | 14.7017i | −0.399616 | + | 0.0297004i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −329.270 | − | 392.409i | −0.662516 | − | 0.789555i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 7.46907 | − | 42.3592i | 0.0149681 | − | 0.0848881i | −0.976409 | − | 0.215931i | \(-0.930721\pi\) |
0.991377 | + | 0.131043i | \(0.0418325\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −94.6331 | − | 73.6028i | −0.188888 | − | 0.146912i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −6.60922 | − | 3.81583i | −0.0131396 | − | 0.00758615i | 0.493416 | − | 0.869794i | \(-0.335748\pi\) |
−0.506555 | + | 0.862207i | \(0.669081\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −324.420 | − | 561.913i | −0.642417 | − | 1.11270i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −151.206 | + | 468.848i | −0.298236 | + | 0.924750i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 38.3888 | + | 105.472i | 0.0754200 | + | 0.207215i | 0.971673 | − | 0.236327i | \(-0.0759438\pi\) |
−0.896253 | + | 0.443542i | \(0.853722\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −50.3390 | − | 285.487i | −0.0985108 | − | 0.558682i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −661.764 | + | 487.463i | −1.28999 | + | 0.950221i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 391.684 | − | 69.0644i | 0.760551 | − | 0.134106i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 196.964 | − | 71.6889i | 0.380974 | − | 0.138663i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 706.677 | − | 639.098i | 1.36161 | − | 1.23140i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −419.995 | + | 242.484i | −0.806132 | + | 0.465420i | −0.845611 | − | 0.533800i | \(-0.820764\pi\) |
0.0394789 | + | 0.999220i | \(0.487430\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −516.637 | + | 894.842i | −0.987835 | + | 1.71098i | −0.359243 | + | 0.933244i | \(0.616965\pi\) |
−0.628591 | + | 0.777736i | \(0.716368\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 297.677 | + | 41.1723i | 0.567005 | + | 0.0784235i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −393.599 | − | 69.4021i | −0.746867 | − | 0.131693i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 158.795 | − | 133.245i | 0.300179 | − | 0.251880i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 96.8827 | − | 134.581i | 0.182453 | − | 0.253449i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −43.7312 | + | 120.151i | −0.0820473 | + | 0.225423i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 471.831 | + | 395.913i | 0.881927 | + | 0.740024i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 123.356 | − | 233.228i | 0.229713 | − | 0.434316i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | − | 41.5301i | − | 0.0770502i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 266.600 | 0.492790 | 0.246395 | − | 0.969169i | \(-0.420754\pi\) | ||||
0.246395 | + | 0.969169i | \(0.420754\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 770.796 | − | 483.993i | 1.41951 | − | 0.891332i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −106.705 | + | 127.166i | −0.195789 | + | 0.233332i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 291.778 | + | 106.199i | 0.533415 | + | 0.194147i | 0.594663 | − | 0.803975i | \(-0.297286\pi\) |
−0.0612474 | + | 0.998123i | \(0.519508\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −45.8394 | − | 12.9276i | −0.0834963 | − | 0.0235475i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 393.562 | + | 469.029i | 0.714268 | + | 0.851232i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 23.4169 | − | 132.804i | 0.0423452 | − | 0.240151i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 80.0108 | − | 32.5301i | 0.144164 | − | 0.0586128i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 511.510 | + | 295.320i | 0.918330 | + | 0.530198i | 0.883102 | − | 0.469181i | \(-0.155451\pi\) |
0.0352283 | + | 0.999379i | \(0.488784\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −64.0714 | − | 110.975i | −0.114618 | − | 0.198524i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 130.436 | − | 28.0231i | 0.232506 | − | 0.0499521i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 60.5467 | + | 166.351i | 0.107543 | + | 0.295472i | 0.981778 | − | 0.190031i | \(-0.0608588\pi\) |
−0.874235 | + | 0.485503i | \(0.838637\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −9.96158 | − | 56.4949i | −0.0176311 | − | 0.0999910i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −590.801 | − | 120.188i | −1.04198 | − | 0.211972i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 838.648 | − | 147.876i | 1.47390 | − | 0.259888i | 0.621761 | − | 0.783207i | \(-0.286417\pi\) |
0.852137 | + | 0.523319i | \(0.175306\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −112.566 | + | 40.9706i | −0.197138 | + | 0.0717523i | −0.438702 | − | 0.898632i | \(-0.644562\pi\) |
0.241564 | + | 0.970385i | \(0.422339\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −189.266 | − | 880.950i | −0.330307 | − | 1.53743i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −209.045 | + | 120.692i | −0.363556 | + | 0.209899i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −544.186 | + | 942.558i | −0.943130 | + | 1.63355i | −0.183677 | + | 0.982987i | \(0.558800\pi\) |
−0.759453 | + | 0.650562i | \(0.774533\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 277.781 | + | 683.227i | 0.479760 | + | 1.18001i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −777.461 | − | 137.087i | −1.33814 | − | 0.235951i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 181.392 | − | 152.206i | 0.311136 | − | 0.261074i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 46.7003 | + | 47.9383i | 0.0798296 | + | 0.0819458i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 289.985 | − | 796.728i | 0.494012 | − | 1.35729i | −0.402967 | − | 0.915215i | \(-0.632021\pi\) |
0.896979 | − | 0.442073i | \(-0.145757\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1359.59 | + | 1140.83i | 2.30830 | + | 1.93689i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 541.380 | + | 862.189i | 0.916041 | + | 1.45886i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 847.621i | 1.42938i | 0.699443 | + | 0.714689i | \(0.253432\pi\) | ||||
−0.699443 | + | 0.714689i | \(0.746568\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 173.348 | 0.291341 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −273.458 | − | 144.634i | −0.458054 | − | 0.242269i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 424.502 | − | 505.902i | 0.708684 | − | 0.844577i | −0.284795 | − | 0.958588i | \(-0.591926\pi\) |
0.993479 | + | 0.114011i | \(0.0363700\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −654.635 | − | 238.268i | −1.08924 | − | 0.396452i | −0.265903 | − | 0.964000i | \(-0.585670\pi\) |
−0.823341 | + | 0.567548i | \(0.807892\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −58.8130 | + | 584.128i | −0.0975340 | + | 0.968702i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 172.335 | + | 205.381i | 0.284852 | + | 0.339473i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −80.2584 | + | 455.168i | −0.132221 | + | 0.749865i | 0.844533 | + | 0.535503i | \(0.179878\pi\) |
−0.976754 | + | 0.214361i | \(0.931233\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −61.5330 | + | 444.886i | −0.101039 | + | 0.730519i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −61.2460 | − | 35.3604i | −0.100239 | − | 0.0578730i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −387.969 | − | 671.982i | −0.632902 | − | 1.09622i | −0.986955 | − | 0.160994i | \(-0.948530\pi\) |
0.354053 | − | 0.935225i | \(-0.384803\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −399.357 | − | 441.585i | −0.649361 | − | 0.718025i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −403.568 | − | 1108.79i | −0.654081 | − | 1.79707i | −0.602094 | − | 0.798425i | \(-0.705667\pi\) |
−0.0519865 | − | 0.998648i | \(-0.516555\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 7.02797 | + | 39.8576i | 0.0113537 | + | 0.0643903i | 0.989958 | − | 0.141360i | \(-0.0451476\pi\) |
−0.978604 | + | 0.205751i | \(0.934036\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 433.864 | − | 215.144i | 0.698655 | − | 0.346448i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −324.461 | + | 57.2112i | −0.520804 | + | 0.0918317i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 100.958 | − | 36.7457i | 0.161533 | − | 0.0587931i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −563.845 | − | 181.842i | −0.899274 | − | 0.290020i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −50.3094 | + | 29.0461i | −0.0799831 | + | 0.0461783i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −11.4649 | + | 19.8578i | −0.0181694 | + | 0.0314703i | −0.874967 | − | 0.484182i | \(-0.839117\pi\) |
0.856798 | + | 0.515653i | \(0.172450\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 359.260 | − | 461.910i | 0.567551 | − | 0.729715i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −64.8224 | − | 11.4299i | −0.102083 | − | 0.0179999i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −10.7340 | + | 9.00693i | −0.0168509 | + | 0.0141396i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −557.888 | − | 269.087i | −0.873064 | − | 0.421106i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −269.893 | + | 741.525i | −0.421050 | + | 1.15683i | 0.530056 | + | 0.847963i | \(0.322171\pi\) |
−0.951106 | + | 0.308863i | \(0.900051\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −282.533 | − | 237.074i | −0.439399 | − | 0.368699i | 0.396086 | − | 0.918214i | \(-0.370368\pi\) |
−0.835484 | + | 0.549514i | \(0.814813\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 596.284 | − | 22.1281i | 0.924471 | − | 0.0343071i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 670.419i | 1.03620i | 0.855321 | + | 0.518098i | \(0.173360\pi\) | ||||
−0.855321 | + | 0.518098i | \(0.826640\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 119.528 | 0.184173 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 48.2795 | + | 1300.98i | 0.0741621 | + | 1.99844i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 77.2311 | − | 92.0404i | 0.118271 | − | 0.140950i | −0.703660 | − | 0.710537i | \(-0.748452\pi\) |
0.821931 | + | 0.569587i | \(0.192897\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −575.776 | − | 209.565i | −0.879047 | − | 0.319947i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −197.278 | − | 289.736i | −0.300271 | − | 0.440998i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −113.103 | − | 134.790i | −0.171628 | − | 0.204538i | 0.673373 | − | 0.739303i | \(-0.264845\pi\) |
−0.845001 | + | 0.534765i | \(0.820400\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 108.446 | − | 615.027i | 0.164063 | − | 0.930449i | −0.785962 | − | 0.618275i | \(-0.787832\pi\) |
0.950025 | − | 0.312174i | \(-0.101057\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −35.5315 | − | 27.6354i | −0.0535920 | − | 0.0416823i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −666.654 | − | 384.893i | −1.00249 | − | 0.578786i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −180.377 | − | 312.422i | −0.270430 | − | 0.468399i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −285.817 | + | 886.241i | −0.427229 | + | 1.32473i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −11.7416 | − | 32.2597i | −0.0174986 | − | 0.0480770i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −20.2310 | − | 114.735i | −0.0300609 | − | 0.170484i | 0.966081 | − | 0.258238i | \(-0.0831420\pi\) |
−0.996142 | + | 0.0877547i | \(0.972031\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 348.623 | − | 102.445i | 0.516478 | − | 0.151771i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 1010.59 | − | 178.193i | 1.49274 | − | 0.263210i | 0.633084 | − | 0.774083i | \(-0.281789\pi\) |
0.859656 | + | 0.510873i | \(0.170678\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 517.882 | − | 188.494i | 0.762713 | − | 0.277605i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −39.4447 | + | 35.6726i | −0.0579217 | + | 0.0523827i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −843.558 | + | 487.028i | −1.23508 | + | 0.713072i | −0.968084 | − | 0.250626i | \(-0.919363\pi\) |
−0.266993 | + | 0.963698i | \(0.586030\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 324.634 | − | 562.282i | 0.473918 | − | 0.820849i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −571.509 | − | 79.0465i | −0.831890 | − | 0.115060i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −78.6798 | − | 13.8734i | −0.114194 | − | 0.0201355i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 358.834 | − | 301.097i | 0.519297 | − | 0.435742i | −0.345090 | − | 0.938570i | \(-0.612152\pi\) |
0.864386 | + | 0.502828i | \(0.167707\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −178.491 | − | 396.226i | −0.257563 | − | 0.571755i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 274.157 | − | 753.240i | 0.394471 | − | 1.08380i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 306.763 | + | 257.405i | 0.440119 | + | 0.369304i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −284.533 | + | 537.963i | −0.407057 | + | 0.769618i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 727.947i | − | 1.03844i | −0.854641 | − | 0.519220i | \(-0.826222\pi\) | ||
0.854641 | − | 0.519220i | \(-0.173778\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 257.970 | 0.366956 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 278.889 | − | 175.118i | 0.395587 | − | 0.248394i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 913.746 | − | 1088.96i | 1.29243 | − | 1.54025i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 136.865 | + | 49.8146i | 0.193039 | + | 0.0702604i | 0.436731 | − | 0.899592i | \(-0.356136\pi\) |
−0.243692 | + | 0.969853i | \(0.578359\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −40.1385 | − | 158.039i | −0.0564536 | − | 0.222278i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −672.181 | − | 801.074i | −0.942751 | − | 1.12353i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −8.37678 | + | 47.5071i | −0.0117158 | + | 0.0664435i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −561.446 | + | 228.268i | −0.783049 | + | 0.318366i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −820.131 | − | 473.503i | −1.14066 | − | 0.658558i | −0.194063 | − | 0.980989i | \(-0.562167\pi\) |
−0.946593 | + | 0.322431i | \(0.895500\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 435.686 | + | 754.630i | 0.604280 | + | 1.04664i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −650.383 | + | 139.730i | −0.899562 | + | 0.193264i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −92.5783 | − | 254.357i | −0.127694 | − | 0.350837i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −175.940 | − | 997.804i | −0.242008 | − | 1.37249i | −0.827340 | − | 0.561701i | \(-0.810147\pi\) |
0.585332 | − | 0.810793i | \(-0.300964\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −711.020 | + | 160.909i | −0.975336 | + | 0.220725i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −395.234 | + | 69.6904i | −0.540676 | + | 0.0953357i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 636.102 | − | 231.522i | 0.867806 | − | 0.315856i | 0.130528 | − | 0.991445i | \(-0.458333\pi\) |
0.737279 | + | 0.675589i | \(0.236111\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −13.7053 | − | 63.7924i | −0.0186467 | − | 0.0867923i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −366.476 | + | 211.585i | −0.497253 | + | 0.287089i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −312.974 | + | 542.086i | −0.423510 | + | 0.733540i | −0.996280 | − | 0.0861757i | \(-0.972535\pi\) |
0.572770 | + | 0.819716i | \(0.305869\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 75.2854 | + | 185.171i | 0.101600 | + | 0.249894i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −536.211 | − | 94.5485i | −0.721684 | − | 0.127252i | −0.199270 | − | 0.979945i | \(-0.563857\pi\) |
−0.522414 | + | 0.852692i | \(0.674968\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 560.482 | − | 470.300i | 0.752324 | − | 0.631275i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −925.196 | + | 234.979i | −1.23855 | + | 0.314564i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −461.534 | + | 1268.05i | −0.616200 | + | 1.69300i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 97.6730 | + | 81.9574i | 0.130057 | + | 0.109131i | 0.705496 | − | 0.708714i | \(-0.250724\pi\) |
−0.575439 | + | 0.817845i | \(0.695169\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −118.938 | − | 189.418i | −0.157952 | − | 0.251551i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 406.351i | 0.538213i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −247.528 | −0.326985 | −0.163493 | − | 0.986545i | \(-0.552276\pi\) | ||||
−0.163493 | + | 0.986545i | \(0.552276\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 308.567 | + | 163.204i | 0.406544 | + | 0.215025i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −142.479 | + | 169.800i | −0.187226 | + | 0.223128i | −0.851490 | − | 0.524371i | \(-0.824301\pi\) |
0.664264 | + | 0.747498i | \(0.268745\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −341.761 | − | 124.391i | −0.447917 | − | 0.163029i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 191.108 | − | 86.0900i | 0.249814 | − | 0.112536i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −25.9229 | − | 30.8938i | −0.0337978 | − | 0.0402787i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −7.21456 | + | 40.9158i | −0.00938174 | + | 0.0532065i | −0.989139 | − | 0.146982i | \(-0.953044\pi\) |
0.979757 | + | 0.200188i | \(0.0641553\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −128.336 | + | 927.874i | −0.166454 | + | 1.20347i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 47.0366 | + | 27.1566i | 0.0608494 | + | 0.0351314i | 0.530116 | − | 0.847925i | \(-0.322148\pi\) |
−0.469267 | + | 0.883057i | \(0.655482\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −392.315 | − | 679.510i | −0.506213 | − | 0.876787i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 126.926 | + | 140.347i | 0.163354 | + | 0.180627i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −608.207 | − | 1671.04i | −0.780754 | − | 2.14510i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −77.5269 | − | 439.677i | −0.0992662 | − | 0.562966i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 153.107 | + | 521.025i | 0.195539 | + | 0.665421i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 179.160 | − | 31.5908i | 0.228230 | − | 0.0402431i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 738.920 | − | 268.945i | 0.938907 | − | 0.341734i | 0.173173 | − | 0.984891i | \(-0.444598\pi\) |
0.765734 | + | 0.643157i | \(0.222376\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 235.207 | + | 75.8553i | 0.298108 | + | 0.0961410i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 108.845 | − | 62.8417i | 0.137604 | − | 0.0794459i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −5.79150 | + | 10.0312i | −0.00730327 | + | 0.0126496i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 228.399 | − | 293.658i | 0.287294 | − | 0.369381i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −877.464 | − | 154.721i | −1.10096 | − | 0.194129i | −0.406493 | − | 0.913654i | \(-0.633248\pi\) |
−0.694466 | + | 0.719525i | \(0.744359\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −169.672 | + | 142.372i | −0.212355 | + | 0.178187i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −329.290 | + | 224.210i | −0.411098 | + | 0.279913i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 86.4138 | − | 237.420i | 0.107614 | − | 0.295666i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 347.448 | + | 291.543i | 0.431612 | + | 0.362166i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −695.973 | + | 25.8275i | −0.862419 | + | 0.0320044i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 1078.04i | 1.33256i | 0.745702 | + | 0.666280i | \(0.232114\pi\) | ||||
−0.745702 | + | 0.666280i | \(0.767886\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −509.210 | −0.627879 | −0.313939 | − | 0.949443i | \(-0.601649\pi\) | ||||
−0.313939 | + | 0.949443i | \(0.601649\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 50.3075 | + | 1355.63i | 0.0618789 | + | 1.66744i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −676.786 | + | 806.562i | −0.830413 | + | 0.989647i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1674.71 | + | 609.545i | 2.04983 | + | 0.746077i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −63.6996 | + | 132.066i | −0.0777773 | + | 0.161253i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −682.395 | − | 813.247i | −0.831176 | − | 0.990557i | −0.999988 | − | 0.00490854i | \(-0.998438\pi\) |
0.168812 | − | 0.985648i | \(-0.446007\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 34.2168 | − | 194.053i | 0.0415756 | − | 0.235787i | −0.956938 | − | 0.290293i | \(-0.906247\pi\) |
0.998513 | + | 0.0545058i | \(0.0173583\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 206.743 | + | 160.798i | 0.250597 | + | 0.194907i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 804.366 | + | 464.401i | 0.972632 | + | 0.561549i | 0.900037 | − | 0.435812i | \(-0.143539\pi\) |
0.0725941 | + | 0.997362i | \(0.476872\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 311.615 | + | 539.733i | 0.375892 | + | 0.651065i | 0.990460 | − | 0.137799i | \(-0.0440029\pi\) |
−0.614568 | + | 0.788864i | \(0.710670\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 25.0002 | − | 77.5191i | 0.0300845 | − | 0.0932841i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 15.0096 | + | 41.2386i | 0.0180188 | + | 0.0495061i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −23.5756 | − | 133.704i | −0.0282342 | − | 0.160124i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 699.336 | + | 1410.30i | 0.835527 | + | 1.68494i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −81.5443 | + | 14.3785i | −0.0971923 | + | 0.0171376i | −0.222033 | − | 0.975039i | \(-0.571269\pi\) |
0.124840 | + | 0.992177i | \(0.460158\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −410.139 | + | 149.279i | −0.487681 | + | 0.177501i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 450.152 | − | 407.104i | 0.533988 | − | 0.482923i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −483.137 | + | 278.939i | −0.571760 | + | 0.330106i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −293.695 | + | 508.695i | −0.346747 | + | 0.600584i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −655.931 | − | 90.7231i | −0.772592 | − | 0.106859i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −149.688 | − | 26.3940i | −0.175896 | − | 0.0310153i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −780.383 | + | 654.819i | −0.914869 | + | 0.767666i | −0.973039 | − | 0.230640i | \(-0.925918\pi\) |
0.0581699 | + | 0.998307i | \(0.481473\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −926.105 | − | 93.2450i | −1.08316 | − | 0.109059i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 458.961 | − | 1260.99i | 0.535544 | − | 1.47140i | −0.316840 | − | 0.948479i | \(-0.602622\pi\) |
0.852384 | − | 0.522916i | \(-0.175156\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −55.2770 | − | 46.3829i | −0.0643504 | − | 0.0539964i | 0.610045 | − | 0.792367i | \(-0.291151\pi\) |
−0.674396 | + | 0.738370i | \(0.735596\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 609.869 | − | 1153.07i | 0.708326 | − | 1.33922i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | − | 1062.67i | − | 1.23137i | −0.787993 | − | 0.615684i | \(-0.788880\pi\) | ||
0.787993 | − | 0.615684i | \(-0.211120\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1079.01 | 1.24741 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 614.859 | − | 386.079i | 0.709180 | − | 0.445304i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 75.5480 | − | 90.0347i | 0.0869368 | − | 0.103607i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 134.167 | + | 48.8329i | 0.154038 | + | 0.0560654i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 477.329 | − | 465.002i | 0.546769 | − | 0.532649i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 625.111 | + | 744.979i | 0.714413 | + | 0.851404i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −155.955 | + | 884.468i | −0.177828 | + | 1.00851i | 0.757000 | + | 0.653415i | \(0.226664\pi\) |
−0.934828 | + | 0.355100i | \(0.884447\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 618.683 | − | 251.539i | 0.703848 | − | 0.286165i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 66.9620 | + | 38.6605i | 0.0760068 | + | 0.0438825i | 0.537522 | − | 0.843250i | \(-0.319361\pi\) |
−0.461515 | + | 0.887132i | \(0.652694\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −132.104 | − | 228.810i | −0.149608 | − | 0.259129i | 0.781475 | − | 0.623937i | \(-0.214468\pi\) |
−0.931083 | + | 0.364808i | \(0.881134\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 183.602 | − | 39.4455i | 0.207459 | − | 0.0445711i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 195.973 | + | 538.431i | 0.220939 | + | 0.607025i | 0.999796 | − | 0.0201763i | \(-0.00642274\pi\) |
−0.778858 | + | 0.627201i | \(0.784201\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −25.0417 | − | 142.019i | −0.0281684 | − | 0.159751i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −393.557 | − | 348.176i | −0.441702 | − | 0.390770i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 968.631 | − | 170.796i | 1.08469 | − | 0.191261i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 280.769 | − | 102.191i | 0.313708 | − | 0.114180i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −24.7389 | − | 115.149i | −0.0275796 | − | 0.128371i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 1015.54 | − | 586.324i | 1.12964 | − | 0.652196i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −125.110 | + | 216.696i | −0.138856 | + | 0.240506i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 492.368 | + | 1211.02i | 0.545258 | + | 1.34111i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 1015.05 | + | 178.980i | 1.12160 | + | 0.197768i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −6.73084 | + | 5.64785i | −0.00742099 | + | 0.00622695i | −0.646491 | − | 0.762922i | \(-0.723764\pi\) |
0.639070 | + | 0.769149i | \(0.279320\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 466.550 | − | 1654.32i | 0.513257 | − | 1.81994i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −80.6749 | + | 221.652i | −0.0885564 | + | 0.243307i | −0.976063 | − | 0.217489i | \(-0.930214\pi\) |
0.887506 | + | 0.460795i | \(0.152436\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −527.082 | − | 442.274i | −0.577308 | − | 0.484419i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −28.6817 | − | 45.6777i | −0.0313461 | − | 0.0499210i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | − | 1342.42i | − | 1.46392i | ||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −585.987 | −0.637635 | −0.318818 | − | 0.947816i | \(-0.603286\pi\) | ||||
−0.318818 | + | 0.947816i | \(0.603286\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −352.294 | − | 186.331i | −0.382512 | − | 0.202314i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −96.8269 | + | 115.394i | −0.104905 | + | 0.125020i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −107.169 | − | 39.0061i | −0.115858 | − | 0.0421688i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 855.096 | + | 615.569i | 0.922434 | + | 0.664044i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −356.989 | − | 425.443i | −0.384273 | − | 0.457958i | 0.538885 | − | 0.842379i | \(-0.318846\pi\) |
−0.923158 | + | 0.384421i | \(0.874401\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 33.8407 | − | 191.920i | 0.0363488 | − | 0.206144i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 66.4950 | − | 480.761i | 0.0712701 | − | 0.515285i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 130.842 | + | 75.5415i | 0.139938 | + | 0.0807931i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 65.2985 | + | 113.100i | 0.0696889 | + | 0.120705i | 0.898764 | − | 0.438432i | \(-0.144466\pi\) |
−0.829075 | + | 0.559137i | \(0.811133\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −278.749 | − | 308.225i | −0.296858 | − | 0.328248i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 309.138 | + | 849.349i | 0.328520 | + | 0.902602i | 0.988487 | + | 0.151307i | \(0.0483483\pi\) |
−0.659966 | + | 0.751295i | \(0.729429\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 181.943 | + | 1031.85i | 0.192941 | + | 1.09422i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −404.931 | − | 549.720i | −0.428498 | − | 0.581715i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −930.941 | + | 164.150i | −0.983043 | + | 0.173337i | −0.641995 | − | 0.766709i | \(-0.721893\pi\) |
−0.341048 | + | 0.940046i | \(0.610782\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −80.1058 | + | 29.1561i | −0.0844107 | + | 0.0307230i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 32.6872 | + | 10.5418i | 0.0343714 | + | 0.0110849i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −476.177 | + | 274.921i | −0.499661 | + | 0.288480i | −0.728574 | − | 0.684967i | \(-0.759816\pi\) |
0.228912 | + | 0.973447i | \(0.426483\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 510.200 | − | 883.693i | 0.534241 | − | 0.925333i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −240.317 | + | 308.982i | −0.251115 | + | 0.322865i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 1400.86 | + | 247.009i | 1.46075 | + | 0.257570i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 1867.76 | − | 1567.24i | 1.94356 | − | 1.63084i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 120.936 | + | 1627.18i | 0.125583 | + | 1.68970i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −285.665 | + | 784.858i | −0.296026 | + | 0.813324i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 124.954 | + | 104.849i | 0.129218 | + | 0.108427i | 0.705106 | − | 0.709102i | \(-0.250899\pi\) |
−0.575888 | + | 0.817528i | \(0.695344\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 625.608 | − | 23.2163i | 0.645622 | − | 0.0239590i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | − | 485.860i | − | 0.500371i | −0.968198 | − | 0.250185i | \(-0.919508\pi\) | ||
0.968198 | − | 0.250185i | \(-0.0804915\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1756.17 | 1.80491 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −3.27715 | − | 88.3091i | −0.00336118 | − | 0.0905734i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −803.489 | + | 957.561i | −0.822405 | + | 0.980104i | −0.999992 | − | 0.00400147i | \(-0.998726\pi\) |
0.177587 | + | 0.984105i | \(0.443171\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −269.832 | − | 98.2108i | −0.275620 | − | 0.100317i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −438.552 | + | 32.5942i | −0.447046 | + | 0.0332255i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 828.432 | + | 987.287i | 0.842759 | + | 1.00436i | 0.999859 | + | 0.0167783i | \(0.00534095\pi\) |
−0.157100 | + | 0.987583i | \(0.550215\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −200.202 | + | 1135.40i | −0.203251 | + | 1.15269i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 569.504 | + | 442.944i | 0.577005 | + | 0.448778i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −909.390 | − | 525.036i | −0.919504 | − | 0.530876i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −647.663 | − | 1121.78i | −0.653544 | − | 1.13197i | −0.982257 | − | 0.187542i | \(-0.939948\pi\) |
0.328712 | − | 0.944430i | \(-0.393385\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 584.927 | − | 1813.70i | 0.589050 | − | 1.82649i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −119.819 | − | 329.200i | −0.120421 | − | 0.330854i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 161.592 | + | 916.436i | 0.162079 | + | 0.919194i | 0.952026 | + | 0.306019i | \(0.0989969\pi\) |
−0.789947 | + | 0.613175i | \(0.789892\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 209.631 | + | 91.6908i | 0.209841 | + | 0.0917826i |
(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 | 216.3.u.a.41.9 | ✓ | 108 | |
4.3 | odd | 2 | 432.3.bc.d.257.10 | 108 | |||
27.2 | odd | 18 | inner | 216.3.u.a.137.9 | yes | 108 | |
108.83 | even | 18 | 432.3.bc.d.353.10 | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.3.u.a.41.9 | ✓ | 108 | 1.1 | even | 1 | trivial | |
216.3.u.a.137.9 | yes | 108 | 27.2 | odd | 18 | inner | |
432.3.bc.d.257.10 | 108 | 4.3 | odd | 2 | |||
432.3.bc.d.353.10 | 108 | 108.83 | even | 18 |