Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [666,2,Mod(289,666)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(666, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("666.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 666 = 2 \cdot 3^{2} \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 666.bj (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: | \(5.31803677462\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{18})\) |
Coefficient field: | \(\Q(\zeta_{36})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{6} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 74) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 289.2 | ||
Root | \(0.342020 + 0.939693i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 666.289 |
Dual form | 666.2.bj.c.613.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/666\mathbb{Z}\right)^\times\).
\(n\) | \(371\) | \(631\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.342020 | + | 0.939693i | 0.241845 | + | 0.664463i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.766044 | + | 0.642788i | −0.383022 | + | 0.321394i | ||||
\(5\) | −2.57176 | + | 0.453471i | −1.15013 | + | 0.202798i | −0.716031 | − | 0.698068i | \(-0.754043\pi\) |
−0.434096 | + | 0.900867i | \(0.642932\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.361075 | − | 2.04776i | −0.136473 | − | 0.773979i | −0.973822 | − | 0.227311i | \(-0.927007\pi\) |
0.837349 | − | 0.546669i | \(-0.184104\pi\) | |||||||
\(8\) | −0.866025 | − | 0.500000i | −0.306186 | − | 0.176777i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.30572 | − | 2.26157i | −0.412904 | − | 0.715171i | ||||
\(11\) | 2.99810 | − | 5.19285i | 0.903960 | − | 1.56570i | 0.0816522 | − | 0.996661i | \(-0.473980\pi\) |
0.822308 | − | 0.569043i | \(-0.192686\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.64632 | + | 3.15377i | 0.733958 | + | 0.874697i | 0.995907 | − | 0.0903843i | \(-0.0288095\pi\) |
−0.261949 | + | 0.965082i | \(0.584365\pi\) | |||||||
\(14\) | 1.80077 | − | 1.03967i | 0.481275 | − | 0.277864i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | 0.618710 | − | 0.737350i | 0.150059 | − | 0.178834i | −0.685778 | − | 0.727810i | \(-0.740538\pi\) |
0.835838 | + | 0.548977i | \(0.184982\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.534946 | − | 1.46975i | 0.122725 | − | 0.337184i | −0.863083 | − | 0.505063i | \(-0.831469\pi\) |
0.985808 | + | 0.167878i | \(0.0536916\pi\) | |||||||
\(20\) | 1.67860 | − | 2.00048i | 0.375346 | − | 0.447320i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 5.90509 | + | 1.04123i | 1.25897 | + | 0.221990i | ||||
\(23\) | 5.51705 | − | 3.18527i | 1.15038 | − | 0.664174i | 0.201403 | − | 0.979508i | \(-0.435450\pi\) |
0.948981 | + | 0.315334i | \(0.102117\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.70986 | − | 0.622339i | 0.341973 | − | 0.124468i | ||||
\(26\) | −2.05847 | + | 3.56538i | −0.403700 | + | 0.699229i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.59287 | + | 1.33658i | 0.301025 | + | 0.252590i | ||||
\(29\) | 3.51193 | + | 2.02761i | 0.652149 | + | 0.376519i | 0.789279 | − | 0.614035i | \(-0.210454\pi\) |
−0.137130 | + | 0.990553i | \(0.543788\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 3.39997i | − | 0.610653i | −0.952248 | − | 0.305326i | \(-0.901234\pi\) | ||
0.952248 | − | 0.305326i | \(-0.0987655\pi\) | |||||||
\(32\) | 0.984808 | − | 0.173648i | 0.174091 | − | 0.0306970i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.904494 | + | 0.329209i | 0.155119 | + | 0.0564588i | ||||
\(35\) | 1.85720 | + | 5.10261i | 0.313924 | + | 0.862498i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.07068 | − | 0.383130i | 0.998014 | − | 0.0629862i | ||||
\(38\) | 1.56408 | 0.253727 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.45395 | + | 0.893164i | 0.388003 | + | 0.141222i | ||||
\(41\) | −7.94502 | + | 6.66666i | −1.24080 | + | 1.04116i | −0.243343 | + | 0.969940i | \(0.578244\pi\) |
−0.997461 | + | 0.0712179i | \(0.977311\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 3.76932i | − | 0.574816i | −0.957808 | − | 0.287408i | \(-0.907206\pi\) | ||
0.957808 | − | 0.287408i | \(-0.0927936\pi\) | |||||||
\(44\) | 1.04123 | + | 5.90509i | 0.156971 | + | 0.890227i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.88011 | + | 4.09490i | 0.719534 | + | 0.603760i | ||||
\(47\) | −3.08750 | − | 5.34771i | −0.450359 | − | 0.780044i | 0.548050 | − | 0.836446i | \(-0.315371\pi\) |
−0.998408 | + | 0.0564019i | \(0.982037\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.51491 | − | 0.915354i | 0.359273 | − | 0.130765i | ||||
\(50\) | 1.16962 | + | 1.39389i | 0.165409 | + | 0.197126i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −4.05440 | − | 0.714901i | −0.562245 | − | 0.0991389i | ||||
\(53\) | 1.39401 | − | 7.90585i | 0.191483 | − | 1.08595i | −0.725857 | − | 0.687846i | \(-0.758556\pi\) |
0.917339 | − | 0.398106i | \(-0.130332\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −5.35558 | + | 14.7143i | −0.722146 | + | 1.98408i | ||||
\(56\) | −0.711179 | + | 1.95395i | −0.0950352 | + | 0.261107i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.704183 | + | 3.99362i | −0.0924638 | + | 0.524388i | ||||
\(59\) | −5.02269 | − | 0.885636i | −0.653899 | − | 0.115300i | −0.163150 | − | 0.986601i | \(-0.552166\pi\) |
−0.490749 | + | 0.871301i | \(0.663277\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.25519 | − | 7.45465i | −0.800895 | − | 0.954470i | 0.198778 | − | 0.980045i | \(-0.436303\pi\) |
−0.999673 | + | 0.0255750i | \(0.991858\pi\) | |||||||
\(62\) | 3.19493 | − | 1.16286i | 0.405756 | − | 0.147683i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.500000 | + | 0.866025i | 0.0625000 | + | 0.108253i | ||||
\(65\) | −8.23586 | − | 6.91071i | −1.02153 | − | 0.857168i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.83263 | − | 10.3934i | −0.223892 | − | 1.26975i | −0.864792 | − | 0.502130i | \(-0.832550\pi\) |
0.640901 | − | 0.767624i | \(-0.278561\pi\) | |||||||
\(68\) | 0.962542i | 0.116725i | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −4.15968 | + | 3.49039i | −0.497177 | + | 0.417181i | ||||
\(71\) | 10.1503 | + | 3.69442i | 1.20462 | + | 0.438447i | 0.864835 | − | 0.502056i | \(-0.167423\pi\) |
0.339787 | + | 0.940502i | \(0.389645\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.55293 | 0.415839 | 0.207920 | − | 0.978146i | \(-0.433331\pi\) | ||||
0.207920 | + | 0.978146i | \(0.433331\pi\) | |||||||
\(74\) | 2.43632 | + | 5.57354i | 0.283217 | + | 0.647911i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.534946 | + | 1.46975i | 0.0613625 | + | 0.168592i | ||||
\(77\) | −11.7162 | − | 4.26436i | −1.33519 | − | 0.485969i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.51098 | − | 0.442753i | 0.282507 | − | 0.0498136i | −0.0305991 | − | 0.999532i | \(-0.509742\pi\) |
0.313106 | + | 0.949718i | \(0.398630\pi\) | |||||||
\(80\) | 2.61144i | 0.291967i | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −8.98197 | − | 5.18574i | −0.991893 | − | 0.572670i | ||||
\(83\) | −5.29798 | − | 4.44553i | −0.581529 | − | 0.487960i | 0.303920 | − | 0.952698i | \(-0.401704\pi\) |
−0.885449 | + | 0.464737i | \(0.846149\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.25681 | + | 2.17686i | −0.136320 | + | 0.236113i | ||||
\(86\) | 3.54200 | − | 1.28918i | 0.381944 | − | 0.139016i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −5.19285 | + | 2.99810i | −0.553560 | + | 0.319598i | ||||
\(89\) | 16.0165 | + | 2.82414i | 1.69774 | + | 0.299358i | 0.936905 | − | 0.349584i | \(-0.113677\pi\) |
0.760838 | + | 0.648942i | \(0.224788\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 5.50263 | − | 6.55778i | 0.576832 | − | 0.687442i | ||||
\(92\) | −2.17885 | + | 5.98635i | −0.227161 | + | 0.624120i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 3.96922 | − | 4.73033i | 0.409394 | − | 0.487896i | ||||
\(95\) | −0.709264 | + | 4.02243i | −0.0727689 | + | 0.412693i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −14.1175 | + | 8.15074i | −1.43342 | + | 0.827583i | −0.997380 | − | 0.0723469i | \(-0.976951\pi\) |
−0.436036 | + | 0.899929i | \(0.643618\pi\) | |||||||
\(98\) | 1.72030 | + | 2.05018i | 0.173777 | + | 0.207099i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.909799 | + | 1.57582i | −0.0909799 | + | 0.157582i | ||||
\(101\) | 2.05124 | + | 3.55285i | 0.204106 | + | 0.353521i | 0.949847 | − | 0.312714i | \(-0.101238\pi\) |
−0.745742 | + | 0.666235i | \(0.767905\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 9.35250 | + | 5.39967i | 0.921530 | + | 0.532045i | 0.884123 | − | 0.467255i | \(-0.154757\pi\) |
0.0374069 | + | 0.999300i | \(0.488090\pi\) | |||||||
\(104\) | −0.714901 | − | 4.05440i | −0.0701018 | − | 0.397567i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 7.90585 | − | 1.39401i | 0.767884 | − | 0.135399i | ||||
\(107\) | −15.5549 | + | 13.0521i | −1.50375 | + | 1.26180i | −0.628823 | + | 0.777549i | \(0.716463\pi\) |
−0.874930 | + | 0.484249i | \(0.839093\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.13072 | + | 5.85411i | 0.204086 | + | 0.560722i | 0.998938 | − | 0.0460817i | \(-0.0146734\pi\) |
−0.794851 | + | 0.606804i | \(0.792451\pi\) | |||||||
\(110\) | −15.6587 | −1.49300 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.07935 | −0.196480 | ||||||||
\(113\) | −2.09726 | − | 5.76217i | −0.197294 | − | 0.542059i | 0.801112 | − | 0.598515i | \(-0.204242\pi\) |
−0.998405 | + | 0.0564555i | \(0.982020\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −12.7441 | + | 10.6936i | −1.18839 | + | 0.997181i | ||||
\(116\) | −3.99362 | + | 0.704183i | −0.370798 | + | 0.0653818i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.885636 | − | 5.02269i | −0.0815294 | − | 0.462376i | ||||
\(119\) | −1.73331 | − | 1.00073i | −0.158893 | − | 0.0917367i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −12.4772 | − | 21.6111i | −1.13429 | − | 1.96464i | ||||
\(122\) | 4.86567 | − | 8.42760i | 0.440517 | − | 0.762999i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 2.18546 | + | 2.60453i | 0.196260 | + | 0.233893i | ||||
\(125\) | 7.19270 | − | 4.15271i | 0.643335 | − | 0.371429i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.10807 | + | 6.28420i | −0.0983257 | + | 0.557633i | 0.895352 | + | 0.445360i | \(0.146924\pi\) |
−0.993677 | + | 0.112273i | \(0.964187\pi\) | |||||||
\(128\) | −0.642788 | + | 0.766044i | −0.0568149 | + | 0.0677094i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 3.67711 | − | 10.1028i | 0.322504 | − | 0.886072i | ||||
\(131\) | −6.71929 | + | 8.00774i | −0.587067 | + | 0.699640i | −0.975039 | − | 0.222032i | \(-0.928731\pi\) |
0.387972 | + | 0.921671i | \(0.373176\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.20285 | − | 0.564749i | −0.277722 | − | 0.0489699i | ||||
\(134\) | 9.13979 | − | 5.27686i | 0.789557 | − | 0.455851i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.904494 | + | 0.329209i | −0.0775597 | + | 0.0282294i | ||||
\(137\) | 3.12091 | − | 5.40557i | 0.266637 | − | 0.461829i | −0.701354 | − | 0.712813i | \(-0.747421\pi\) |
0.967991 | + | 0.250984i | \(0.0807542\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 5.27989 | + | 4.43035i | 0.447834 | + | 0.375778i | 0.838632 | − | 0.544699i | \(-0.183356\pi\) |
−0.390797 | + | 0.920477i | \(0.627801\pi\) | |||||||
\(140\) | −4.70259 | − | 2.71504i | −0.397441 | − | 0.229463i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 10.8018i | 0.906463i | ||||||||
\(143\) | 24.3110 | − | 4.28668i | 2.03299 | − | 0.358470i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −9.95132 | − | 3.62198i | −0.826412 | − | 0.300789i | ||||
\(146\) | 1.21517 | + | 3.33866i | 0.100569 | + | 0.276310i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −4.40414 | + | 4.19566i | −0.362018 | + | 0.344881i | ||||
\(149\) | −3.49508 | −0.286328 | −0.143164 | − | 0.989699i | \(-0.545728\pi\) | ||||
−0.143164 | + | 0.989699i | \(0.545728\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8.84115 | + | 3.21791i | 0.719482 | + | 0.261870i | 0.675706 | − | 0.737171i | \(-0.263839\pi\) |
0.0437763 | + | 0.999041i | \(0.486061\pi\) | |||||||
\(152\) | −1.19815 | + | 1.00537i | −0.0971830 | + | 0.0815462i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | − | 12.4682i | − | 1.00471i | ||||||
\(155\) | 1.54179 | + | 8.74391i | 0.123839 | + | 0.702328i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.94170 | + | 1.62928i | 0.154964 | + | 0.130030i | 0.716973 | − | 0.697101i | \(-0.245527\pi\) |
−0.562009 | + | 0.827131i | \(0.689971\pi\) | |||||||
\(158\) | 1.27486 | + | 2.20812i | 0.101422 | + | 0.175668i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.45395 | + | 0.893164i | −0.194002 | + | 0.0706108i | ||||
\(161\) | −8.51472 | − | 10.1475i | −0.671054 | − | 0.799731i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −9.23549 | − | 1.62847i | −0.723379 | − | 0.127551i | −0.200177 | − | 0.979760i | \(-0.564152\pi\) |
−0.523202 | + | 0.852208i | \(0.675263\pi\) | |||||||
\(164\) | 1.80099 | − | 10.2139i | 0.140634 | − | 0.797573i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.36542 | − | 6.49893i | 0.183592 | − | 0.504415i | ||||
\(167\) | 3.56469 | − | 9.79392i | 0.275844 | − | 0.757876i | −0.721978 | − | 0.691916i | \(-0.756767\pi\) |
0.997822 | − | 0.0659599i | \(-0.0210110\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.685785 | + | 3.88928i | −0.0527527 | + | 0.299175i | ||||
\(170\) | −2.47543 | − | 0.436485i | −0.189857 | − | 0.0334769i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.42287 | + | 2.88747i | 0.184742 | + | 0.220167i | ||||
\(173\) | 2.75312 | − | 1.00205i | 0.209316 | − | 0.0761846i | −0.235234 | − | 0.971939i | \(-0.575586\pi\) |
0.444550 | + | 0.895754i | \(0.353364\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.89179 | − | 3.27667i | −0.143006 | − | 0.247693i | ||||
\(176\) | −4.59335 | − | 3.85428i | −0.346237 | − | 0.290527i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 2.82414 | + | 16.0165i | 0.211678 | + | 1.20049i | ||||
\(179\) | 8.76703i | 0.655279i | 0.944803 | + | 0.327639i | \(0.106253\pi\) | ||||
−0.944803 | + | 0.327639i | \(0.893747\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −20.4965 | + | 17.1986i | −1.52349 | + | 1.27836i | −0.693740 | + | 0.720225i | \(0.744038\pi\) |
−0.829750 | + | 0.558135i | \(0.811517\pi\) | |||||||
\(182\) | 8.04430 | + | 2.92789i | 0.596283 | + | 0.217029i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −6.37054 | −0.469642 | ||||||||
\(185\) | −15.4386 | + | 3.73820i | −1.13507 | + | 0.274838i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.97400 | − | 5.42352i | −0.144353 | − | 0.396607i | ||||
\(188\) | 5.80261 | + | 2.11198i | 0.423199 | + | 0.154032i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −4.02243 | + | 0.709264i | −0.291818 | + | 0.0514554i | ||||
\(191\) | − | 1.81758i | − | 0.131515i | −0.997836 | − | 0.0657577i | \(-0.979054\pi\) | ||
0.997836 | − | 0.0657577i | \(-0.0209464\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.922363 | + | 0.532526i | 0.0663931 | + | 0.0383321i | 0.532829 | − | 0.846223i | \(-0.321129\pi\) |
−0.466436 | + | 0.884555i | \(0.654462\pi\) | |||||||
\(194\) | −12.4877 | − | 10.4784i | −0.896562 | − | 0.752305i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.33816 | + | 2.31776i | −0.0955827 | + | 0.165554i | ||||
\(197\) | −14.8064 | + | 5.38909i | −1.05491 | + | 0.383957i | −0.810515 | − | 0.585718i | \(-0.800813\pi\) |
−0.244398 | + | 0.969675i | \(0.578590\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 17.8722 | − | 10.3185i | 1.26693 | − | 0.731461i | 0.292523 | − | 0.956259i | \(-0.405505\pi\) |
0.974406 | + | 0.224797i | \(0.0721719\pi\) | |||||||
\(200\) | −1.79195 | − | 0.315970i | −0.126710 | − | 0.0223424i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.63702 | + | 3.14268i | −0.185540 | + | 0.221118i | ||||
\(203\) | 2.88399 | − | 7.92370i | 0.202417 | − | 0.556135i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 17.4096 | − | 20.7479i | 1.21594 | − | 1.44910i | ||||
\(206\) | −1.87529 | + | 10.6353i | −0.130657 | + | 0.740995i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 3.56538 | − | 2.05847i | 0.247215 | − | 0.142730i | ||||
\(209\) | −6.02839 | − | 7.18435i | −0.416992 | − | 0.496952i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.10070 | + | 5.37057i | −0.213461 | + | 0.369725i | −0.952795 | − | 0.303613i | \(-0.901807\pi\) |
0.739335 | + | 0.673338i | \(0.235140\pi\) | |||||||
\(212\) | 4.01391 | + | 6.95229i | 0.275676 | + | 0.477485i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −17.5851 | − | 10.1528i | −1.20209 | − | 0.694029i | ||||
\(215\) | 1.70928 | + | 9.69380i | 0.116572 | + | 0.661112i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −6.96231 | + | 1.22764i | −0.472633 | + | 0.0833379i | ||||
\(218\) | −4.77232 | + | 4.00445i | −0.323222 | + | 0.271216i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −5.35558 | − | 14.7143i | −0.361073 | − | 0.992040i | ||||
\(221\) | 3.96274 | 0.266563 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0.839150 | 0.0561936 | 0.0280968 | − | 0.999605i | \(-0.491055\pi\) | ||||
0.0280968 | + | 0.999605i | \(0.491055\pi\) | |||||||
\(224\) | −0.711179 | − | 1.95395i | −0.0475176 | − | 0.130554i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 4.69737 | − | 3.94156i | 0.312464 | − | 0.262188i | ||||
\(227\) | −6.42458 | + | 1.13283i | −0.426415 | + | 0.0751884i | −0.382737 | − | 0.923857i | \(-0.625019\pi\) |
−0.0436775 | + | 0.999046i | \(0.513907\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.14680 | + | 6.50380i | 0.0757824 | + | 0.429784i | 0.998968 | + | 0.0454281i | \(0.0144652\pi\) |
−0.923185 | + | 0.384355i | \(0.874424\pi\) | |||||||
\(230\) | −14.4074 | − | 8.31813i | −0.949997 | − | 0.548481i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.02761 | − | 3.51193i | −0.133119 | − | 0.230570i | ||||
\(233\) | −11.3047 | + | 19.5803i | −0.740594 | + | 1.28275i | 0.211632 | + | 0.977349i | \(0.432122\pi\) |
−0.952225 | + | 0.305396i | \(0.901211\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 10.3654 | + | 12.3530i | 0.676161 | + | 0.805818i | ||||
\(236\) | 4.41688 | − | 2.55009i | 0.287515 | − | 0.165997i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.347550 | − | 1.97105i | 0.0225283 | − | 0.127764i | ||||
\(239\) | 11.0221 | − | 13.1357i | 0.712962 | − | 0.849675i | −0.280965 | − | 0.959718i | \(-0.590654\pi\) |
0.993927 | + | 0.110043i | \(0.0350988\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.94526 | − | 5.34455i | 0.125305 | − | 0.344273i | −0.861139 | − | 0.508369i | \(-0.830249\pi\) |
0.986444 | + | 0.164096i | \(0.0524708\pi\) | |||||||
\(242\) | 16.0403 | − | 19.1161i | 1.03111 | − | 1.22883i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 9.58351 | + | 1.68983i | 0.613521 | + | 0.108180i | ||||
\(245\) | −6.05267 | + | 3.49451i | −0.386691 | + | 0.223256i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 6.05089 | − | 2.20235i | 0.385009 | − | 0.140132i | ||||
\(248\) | −1.69998 | + | 2.94446i | −0.107949 | + | 0.186973i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 6.36232 | + | 5.33862i | 0.402388 | + | 0.337644i | ||||
\(251\) | 21.9528 | + | 12.6745i | 1.38565 | + | 0.800006i | 0.992821 | − | 0.119606i | \(-0.0381630\pi\) |
0.392829 | + | 0.919611i | \(0.371496\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 38.1990i | − | 2.40155i | ||||||
\(254\) | −6.28420 | + | 1.10807i | −0.394306 | + | 0.0695268i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | −1.76857 | − | 4.85911i | −0.110320 | − | 0.303103i | 0.872231 | − | 0.489094i | \(-0.162673\pi\) |
−0.982551 | + | 0.185991i | \(0.940450\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.97653 | − | 12.2929i | −0.184953 | − | 0.763847i | ||||
\(260\) | 10.7512 | 0.666758 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −9.82295 | − | 3.57526i | −0.606864 | − | 0.220880i | ||||
\(263\) | −7.40923 | + | 6.21708i | −0.456873 | + | 0.383362i | −0.841979 | − | 0.539511i | \(-0.818609\pi\) |
0.385106 | + | 0.922872i | \(0.374165\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 20.9641i | 1.28782i | ||||||||
\(266\) | −0.564749 | − | 3.20285i | −0.0346270 | − | 0.196379i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 8.08462 | + | 6.78380i | 0.493847 | + | 0.414386i | ||||
\(269\) | −11.9383 | − | 20.6777i | −0.727889 | − | 1.26074i | −0.957774 | − | 0.287523i | \(-0.907168\pi\) |
0.229885 | − | 0.973218i | \(-0.426165\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −17.2047 | + | 6.26199i | −1.04511 | + | 0.380389i | −0.806815 | − | 0.590804i | \(-0.798811\pi\) |
−0.238295 | + | 0.971193i | \(0.576589\pi\) | |||||||
\(272\) | −0.618710 | − | 0.737350i | −0.0375148 | − | 0.0447084i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 6.14698 | + | 1.08388i | 0.371353 | + | 0.0654795i | ||||
\(275\) | 1.89462 | − | 10.7449i | 0.114250 | − | 0.647942i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −6.06459 | + | 16.6623i | −0.364386 | + | 1.00114i | 0.613075 | + | 0.790025i | \(0.289932\pi\) |
−0.977461 | + | 0.211117i | \(0.932290\pi\) | |||||||
\(278\) | −2.35734 | + | 6.47674i | −0.141384 | + | 0.388449i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.942924 | − | 5.34759i | 0.0563505 | − | 0.319579i | ||||
\(281\) | 15.0167 | + | 2.64786i | 0.895824 | + | 0.157958i | 0.602560 | − | 0.798074i | \(-0.294147\pi\) |
0.293264 | + | 0.956032i | \(0.405259\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 15.7182 | + | 18.7322i | 0.934350 | + | 1.11351i | 0.993336 | + | 0.115256i | \(0.0367689\pi\) |
−0.0589858 | + | 0.998259i | \(0.518787\pi\) | |||||||
\(284\) | −10.1503 | + | 3.69442i | −0.602311 | + | 0.219223i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 12.3430 | + | 21.3787i | 0.729857 | + | 1.26415i | ||||
\(287\) | 16.5205 | + | 13.8623i | 0.975172 | + | 0.818266i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 2.79114 | + | 15.8293i | 0.164184 | + | 0.931136i | ||||
\(290\) | − | 10.5900i | − | 0.621864i | ||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −2.72170 | + | 2.28378i | −0.159276 | + | 0.133648i | ||||
\(293\) | 11.8143 | + | 4.30005i | 0.690199 | + | 0.251212i | 0.663220 | − | 0.748424i | \(-0.269189\pi\) |
0.0269784 | + | 0.999636i | \(0.491411\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 13.3188 | 0.775450 | ||||||||
\(296\) | −5.44893 | − | 2.70354i | −0.316713 | − | 0.157140i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.19539 | − | 3.28430i | −0.0692469 | − | 0.190254i | ||||
\(299\) | 24.6455 | + | 8.97022i | 1.42529 | + | 0.518761i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −7.71866 | + | 1.36101i | −0.444896 | + | 0.0784472i | ||||
\(302\) | 9.40855i | 0.541401i | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.35453 | − | 0.782038i | −0.0776876 | − | 0.0448530i | ||||
\(305\) | 19.4673 | + | 16.3350i | 1.11470 | + | 0.935341i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −4.70103 | + | 8.14242i | −0.268302 | + | 0.464713i | −0.968423 | − | 0.249311i | \(-0.919796\pi\) |
0.700122 | + | 0.714024i | \(0.253129\pi\) | |||||||
\(308\) | 11.7162 | − | 4.26436i | 0.667595 | − | 0.242985i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −7.68927 | + | 4.43940i | −0.436721 | + | 0.252141i | ||||
\(311\) | 15.8568 | + | 2.79599i | 0.899158 | + | 0.158546i | 0.604077 | − | 0.796926i | \(-0.293542\pi\) |
0.295082 | + | 0.955472i | \(0.404653\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.370220 | − | 0.441211i | 0.0209261 | − | 0.0249387i | −0.755480 | − | 0.655172i | \(-0.772596\pi\) |
0.776406 | + | 0.630233i | \(0.217041\pi\) | |||||||
\(314\) | −0.866920 | + | 2.38184i | −0.0489231 | + | 0.134415i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.63893 | + | 1.95319i | −0.0921967 | + | 0.109876i | ||||
\(317\) | −2.04083 | + | 11.5741i | −0.114624 | + | 0.650067i | 0.872311 | + | 0.488951i | \(0.162620\pi\) |
−0.986935 | + | 0.161116i | \(0.948491\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 21.0582 | − | 12.1580i | 1.17903 | − | 0.680715i | ||||
\(320\) | −1.67860 | − | 2.00048i | −0.0938365 | − | 0.111830i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 6.62328 | − | 11.4719i | 0.369101 | − | 0.639302i | ||||
\(323\) | −0.752745 | − | 1.30379i | −0.0418838 | − | 0.0725449i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 6.48757 | + | 3.74560i | 0.359865 | + | 0.207768i | ||||
\(326\) | −1.62847 | − | 9.23549i | −0.0901924 | − | 0.511506i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 10.2139 | − | 1.80099i | 0.563970 | − | 0.0994430i | ||||
\(329\) | −9.83600 | + | 8.25338i | −0.542276 | + | 0.455024i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.83530 | + | 13.2849i | 0.265772 | + | 0.730202i | 0.998752 | + | 0.0499518i | \(0.0159068\pi\) |
−0.732980 | + | 0.680250i | \(0.761871\pi\) | |||||||
\(332\) | 6.91602 | 0.379566 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 10.4225 | 0.570292 | ||||||||
\(335\) | 9.42620 | + | 25.8983i | 0.515008 | + | 1.41497i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 8.21240 | − | 6.89102i | 0.447358 | − | 0.375378i | −0.391096 | − | 0.920350i | \(-0.627904\pi\) |
0.838454 | + | 0.544972i | \(0.183460\pi\) | |||||||
\(338\) | −3.88928 | + | 0.685785i | −0.211549 | + | 0.0373018i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.436485 | − | 2.47543i | −0.0236717 | − | 0.134249i | ||||
\(341\) | −17.6555 | − | 10.1934i | −0.956101 | − | 0.552005i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −10.0602 | − | 17.4248i | −0.543200 | − | 0.940850i | ||||
\(344\) | −1.88466 | + | 3.26433i | −0.101614 | + | 0.176001i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 1.88324 | + | 2.24436i | 0.101244 | + | 0.120658i | ||||
\(347\) | 6.10989 | − | 3.52754i | 0.327996 | − | 0.189368i | −0.326955 | − | 0.945040i | \(-0.606023\pi\) |
0.654951 | + | 0.755671i | \(0.272689\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.45331 | − | 25.2560i | 0.238380 | − | 1.35192i | −0.596996 | − | 0.802244i | \(-0.703639\pi\) |
0.835376 | − | 0.549679i | \(-0.185250\pi\) | |||||||
\(350\) | 2.43204 | − | 2.89839i | 0.129998 | − | 0.154925i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 2.05082 | − | 5.63458i | 0.109309 | − | 0.300324i | ||||
\(353\) | −4.22017 | + | 5.02940i | −0.224617 | + | 0.267688i | −0.866570 | − | 0.499056i | \(-0.833680\pi\) |
0.641953 | + | 0.766744i | \(0.278125\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −27.7795 | − | 4.89828i | −1.47438 | − | 0.259974i | ||||
\(356\) | −14.0847 | + | 8.13178i | −0.746485 | + | 0.430983i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −8.23831 | + | 2.99850i | −0.435408 | + | 0.158476i | ||||
\(359\) | 9.92813 | − | 17.1960i | 0.523987 | − | 0.907572i | −0.475623 | − | 0.879649i | \(-0.657777\pi\) |
0.999610 | − | 0.0279226i | \(-0.00888919\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 12.6808 | + | 10.6405i | 0.667413 | + | 0.560026i | ||||
\(362\) | −23.1716 | − | 13.3781i | −1.21787 | − | 0.703138i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 8.56057i | 0.448696i | ||||||||
\(365\) | −9.13730 | + | 1.61115i | −0.478268 | + | 0.0843315i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 20.2967 | + | 7.38739i | 1.05948 | + | 0.385619i | 0.812233 | − | 0.583334i | \(-0.198252\pi\) |
0.247246 | + | 0.968953i | \(0.420474\pi\) | |||||||
\(368\) | −2.17885 | − | 5.98635i | −0.113581 | − | 0.312060i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −8.79308 | − | 13.2290i | −0.457130 | − | 0.687744i | ||||
\(371\) | −16.6926 | −0.866637 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 29.3944 | + | 10.6987i | 1.52198 | + | 0.553956i | 0.961642 | − | 0.274306i | \(-0.0884482\pi\) |
0.560340 | + | 0.828263i | \(0.310670\pi\) | |||||||
\(374\) | 4.42129 | − | 3.70990i | 0.228619 | − | 0.191835i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 6.17501i | 0.318452i | ||||||||
\(377\) | 2.89909 | + | 16.4415i | 0.149311 | + | 0.846782i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −15.3668 | − | 12.8943i | −0.789339 | − | 0.662334i | 0.156243 | − | 0.987719i | \(-0.450062\pi\) |
−0.945582 | + | 0.325384i | \(0.894506\pi\) | |||||||
\(380\) | −2.04224 | − | 3.53727i | −0.104765 | − | 0.181458i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 1.70796 | − | 0.621648i | 0.0873871 | − | 0.0318063i | ||||
\(383\) | −10.6054 | − | 12.6391i | −0.541913 | − | 0.645826i | 0.423703 | − | 0.905801i | \(-0.360730\pi\) |
−0.965615 | + | 0.259975i | \(0.916286\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 32.0652 | + | 5.65395i | 1.63419 | + | 0.288152i | ||||
\(386\) | −0.184945 | + | 1.04887i | −0.00941343 | + | 0.0533862i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 5.57544 | − | 15.3184i | 0.283050 | − | 0.777673i | ||||
\(389\) | −0.282656 | + | 0.776592i | −0.0143312 | + | 0.0393748i | −0.946652 | − | 0.322258i | \(-0.895558\pi\) |
0.932321 | + | 0.361632i | \(0.117780\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.06479 | − | 6.03875i | 0.0538490 | − | 0.305393i | ||||
\(392\) | −2.63566 | − | 0.464737i | −0.133121 | − | 0.0234728i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −10.1282 | − | 12.0703i | −0.510251 | − | 0.608093i | ||||
\(395\) | −6.25687 | + | 2.27731i | −0.314817 | + | 0.114584i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −4.52451 | − | 7.83669i | −0.227079 | − | 0.393312i | 0.729862 | − | 0.683594i | \(-0.239584\pi\) |
−0.956941 | + | 0.290282i | \(0.906251\pi\) | |||||||
\(398\) | 15.8089 | + | 13.2653i | 0.792429 | + | 0.664927i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.315970 | − | 1.79195i | −0.0157985 | − | 0.0895977i | ||||
\(401\) | − | 13.1254i | − | 0.655452i | −0.944773 | − | 0.327726i | \(-0.893718\pi\) | ||
0.944773 | − | 0.327726i | \(-0.106282\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 10.7227 | − | 8.99742i | 0.534136 | − | 0.448194i | ||||
\(404\) | −3.85506 | − | 1.40313i | −0.191797 | − | 0.0698083i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 8.43223 | 0.418484 | ||||||||
\(407\) | 16.2110 | − | 32.6728i | 0.803547 | − | 1.61953i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.70223 | + | 7.42432i | 0.133617 | + | 0.367109i | 0.988399 | − | 0.151877i | \(-0.0485318\pi\) |
−0.854783 | + | 0.518986i | \(0.826310\pi\) | |||||||
\(410\) | 25.4511 | + | 9.26344i | 1.25694 | + | 0.457489i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −10.6353 | + | 1.87529i | −0.523962 | + | 0.0923887i | ||||
\(413\) | 10.6050i | 0.521840i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 15.6411 | + | 9.03037i | 0.767789 | + | 0.443283i | ||||
\(416\) | 3.15377 | + | 2.64632i | 0.154626 | + | 0.129747i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 4.68925 | − | 8.12202i | 0.229359 | − | 0.397261i | ||||
\(419\) | −30.0521 | + | 10.9381i | −1.46814 | + | 0.534361i | −0.947596 | − | 0.319472i | \(-0.896494\pi\) |
−0.520548 | + | 0.853832i | \(0.674272\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.86073 | + | 2.80634i | −0.236897 | + | 0.136773i | −0.613750 | − | 0.789501i | \(-0.710340\pi\) |
0.376853 | + | 0.926273i | \(0.377006\pi\) | |||||||
\(422\) | −6.10718 | − | 1.07686i | −0.297293 | − | 0.0524208i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −5.16018 | + | 6.14966i | −0.250600 | + | 0.298654i | ||||
\(425\) | 0.599028 | − | 1.64581i | 0.0290571 | − | 0.0798337i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −13.0067 | + | 15.5008i | −0.629439 | + | 0.750136i | ||||
\(428\) | 3.52602 | − | 19.9970i | 0.170437 | − | 0.966594i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −8.52459 | + | 4.92167i | −0.411092 | + | 0.237344i | ||||
\(431\) | 12.8250 | + | 15.2842i | 0.617757 | + | 0.736214i | 0.980683 | − | 0.195604i | \(-0.0626666\pi\) |
−0.362926 | + | 0.931818i | \(0.618222\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 7.91046 | − | 13.7013i | 0.380152 | − | 0.658443i | −0.610931 | − | 0.791684i | \(-0.709205\pi\) |
0.991084 | + | 0.133240i | \(0.0425382\pi\) | |||||||
\(434\) | −3.53486 | − | 6.12255i | −0.169679 | − | 0.293892i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −5.39518 | − | 3.11491i | −0.258382 | − | 0.149177i | ||||
\(437\) | −1.73023 | − | 9.81263i | −0.0827682 | − | 0.469402i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 3.01674 | − | 0.531932i | 0.143981 | − | 0.0253878i | −0.101193 | − | 0.994867i | \(-0.532266\pi\) |
0.245174 | + | 0.969479i | \(0.421155\pi\) | |||||||
\(440\) | 11.9952 | − | 10.0652i | 0.571850 | − | 0.479839i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 1.35534 | + | 3.72375i | 0.0644668 | + | 0.177121i | ||||
\(443\) | 2.75923 | 0.131095 | 0.0655475 | − | 0.997849i | \(-0.479121\pi\) | ||||
0.0655475 | + | 0.997849i | \(0.479121\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −42.4712 | −2.01333 | ||||||||
\(446\) | 0.287006 | + | 0.788543i | 0.0135901 | + | 0.0373386i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.59287 | − | 1.33658i | 0.0752561 | − | 0.0631474i | ||||
\(449\) | 22.3120 | − | 3.93421i | 1.05297 | − | 0.185667i | 0.379735 | − | 0.925095i | \(-0.376015\pi\) |
0.673235 | + | 0.739428i | \(0.264904\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 10.7991 | + | 61.2446i | 0.508509 | + | 2.88390i | ||||
\(452\) | 5.31045 | + | 3.06599i | 0.249782 | + | 0.144212i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −3.26185 | − | 5.64968i | −0.153086 | − | 0.265153i | ||||
\(455\) | −11.1777 | + | 19.3603i | −0.524018 | + | 0.907626i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −18.9638 | − | 22.6002i | −0.887089 | − | 1.05719i | −0.997991 | − | 0.0633601i | \(-0.979818\pi\) |
0.110902 | − | 0.993831i | \(-0.464626\pi\) | |||||||
\(458\) | −5.71935 | + | 3.30207i | −0.267248 | + | 0.154296i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 2.88885 | − | 16.3835i | 0.134694 | − | 0.763885i | ||||
\(461\) | −2.61917 | + | 3.12141i | −0.121987 | + | 0.145378i | −0.823581 | − | 0.567198i | \(-0.808027\pi\) |
0.701594 | + | 0.712576i | \(0.252472\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −1.00637 | + | 2.76497i | −0.0467699 | + | 0.128499i | −0.960879 | − | 0.276970i | \(-0.910670\pi\) |
0.914109 | + | 0.405469i | \(0.132892\pi\) | |||||||
\(464\) | 2.60665 | − | 3.10649i | 0.121011 | − | 0.144215i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −22.2659 | − | 3.92607i | −1.03145 | − | 0.181872i | ||||
\(467\) | −4.59204 | + | 2.65121i | −0.212494 | + | 0.122684i | −0.602470 | − | 0.798142i | \(-0.705817\pi\) |
0.389976 | + | 0.920825i | \(0.372483\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −20.6214 | + | 7.50558i | −0.952208 | + | 0.346575i | ||||
\(470\) | −8.06282 | + | 13.9652i | −0.371910 | + | 0.644167i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 3.90696 | + | 3.27833i | 0.179833 | + | 0.150897i | ||||
\(473\) | −19.5735 | − | 11.3008i | −0.899992 | − | 0.519611i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | − | 2.84599i | − | 0.130583i | ||||||
\(476\) | 1.97105 | − | 0.347550i | 0.0903430 | − | 0.0159299i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 16.1133 | + | 5.86475i | 0.737004 | + | 0.268248i | ||||
\(479\) | 6.11079 | + | 16.7893i | 0.279209 | + | 0.767121i | 0.997453 | + | 0.0713293i | \(0.0227241\pi\) |
−0.718244 | + | 0.695792i | \(0.755054\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 17.2733 | + | 18.1316i | 0.787595 | + | 0.826731i | ||||
\(482\) | 5.68755 | 0.259061 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 23.4494 | + | 8.53487i | 1.06588 | + | 0.387949i | ||||
\(485\) | 32.6107 | − | 27.3637i | 1.48078 | − | 1.24252i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 31.2962i | 1.41817i | 0.705124 | + | 0.709084i | \(0.250891\pi\) | ||||
−0.705124 | + | 0.709084i | \(0.749109\pi\) | |||||||
\(488\) | 1.68983 | + | 9.58351i | 0.0764951 | + | 0.433825i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −5.35390 | − | 4.49246i | −0.241865 | − | 0.202949i | ||||
\(491\) | −6.72900 | − | 11.6550i | −0.303676 | − | 0.525982i | 0.673290 | − | 0.739379i | \(-0.264881\pi\) |
−0.976966 | + | 0.213397i | \(0.931547\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 3.66793 | − | 1.33502i | 0.165195 | − | 0.0601261i | ||||
\(494\) | 4.13905 | + | 4.93273i | 0.186225 | + | 0.221934i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −3.34832 | − | 0.590399i | −0.150344 | − | 0.0265097i | ||||
\(497\) | 3.90024 | − | 22.1194i | 0.174950 | − | 0.992189i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 12.5759 | − | 34.5520i | 0.562974 | − | 1.54676i | −0.252279 | − | 0.967654i | \(-0.581180\pi\) |
0.815253 | − | 0.579104i | \(-0.196598\pi\) | |||||||
\(500\) | −2.84062 | + | 7.80454i | −0.127036 | + | 0.349030i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −4.40180 | + | 24.9638i | −0.196462 | + | 1.11419i | ||||
\(503\) | −6.15105 | − | 1.08460i | −0.274262 | − | 0.0483597i | 0.0348257 | − | 0.999393i | \(-0.488912\pi\) |
−0.309087 | + | 0.951034i | \(0.600024\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −6.88641 | − | 8.20690i | −0.306441 | − | 0.365202i | ||||
\(506\) | 35.8953 | − | 13.0648i | 1.59574 | − | 0.580802i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −3.19057 | − | 5.52624i | −0.141559 | − | 0.245187i | ||||
\(509\) | 6.29668 | + | 5.28355i | 0.279096 | + | 0.234189i | 0.771580 | − | 0.636132i | \(-0.219467\pi\) |
−0.492484 | + | 0.870321i | \(0.663911\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.28287 | − | 7.27554i | −0.0567510 | − | 0.321851i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 3.96118 | − | 3.32383i | 0.174720 | − | 0.146608i | ||||
\(515\) | −26.5010 | − | 9.64558i | −1.16777 | − | 0.425035i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −37.0265 | −1.62842 | ||||||||
\(518\) | 10.5336 | − | 7.00146i | 0.462818 | − | 0.307626i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 3.67711 | + | 10.1028i | 0.161252 | + | 0.443036i | ||||
\(521\) | 20.8518 | + | 7.58945i | 0.913536 | + | 0.332500i | 0.755664 | − | 0.654960i | \(-0.227314\pi\) |
0.157872 | + | 0.987460i | \(0.449537\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −13.7427 | + | 2.42321i | −0.600927 | + | 0.105960i | −0.465832 | − | 0.884873i | \(-0.654245\pi\) |
−0.135095 | + | 0.990833i | \(0.543134\pi\) | |||||||
\(524\) | − | 10.4534i | − | 0.456657i | ||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −8.37625 | − | 4.83603i | −0.365222 | − | 0.210861i | ||||
\(527\) | −2.50697 | − | 2.10360i | −0.109205 | − | 0.0916340i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 8.79187 | − | 15.2280i | 0.382255 | − | 0.662086i | ||||
\(530\) | −19.6998 | + | 7.17015i | −0.855706 | + | 0.311451i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 2.81654 | − | 1.62613i | 0.122112 | − | 0.0705016i | ||||
\(533\) | −42.0502 | − | 7.41459i | −1.82140 | − | 0.321161i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 34.0848 | − | 40.6207i | 1.47362 | − | 1.75619i | ||||
\(536\) | −3.60958 | + | 9.91725i | −0.155910 | + | 0.428360i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 15.3475 | − | 18.2905i | 0.661679 | − | 0.788559i | ||||
\(539\) | 2.78665 | − | 15.8039i | 0.120030 | − | 0.680722i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 20.9379 | − | 12.0885i | 0.900192 | − | 0.519726i | 0.0229292 | − | 0.999737i | \(-0.492701\pi\) |
0.877262 | + | 0.480011i | \(0.159367\pi\) | |||||||
\(542\) | −11.7687 | − | 14.0254i | −0.505509 | − | 0.602442i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.481271 | − | 0.833586i | 0.0206343 | − | 0.0357397i | ||||
\(545\) | −8.13439 | − | 14.0892i | −0.348439 | − | 0.603514i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −32.2382 | − | 18.6127i | −1.37840 | − | 0.795822i | −0.386437 | − | 0.922316i | \(-0.626294\pi\) |
−0.991967 | + | 0.126494i | \(0.959628\pi\) | |||||||
\(548\) | 1.08388 | + | 6.14698i | 0.0463010 | + | 0.262586i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 10.7449 | − | 1.89462i | 0.458164 | − | 0.0807867i | ||||
\(551\) | 4.85878 | − | 4.07700i | 0.206991 | − | 0.173686i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.81330 | − | 4.98201i | −0.0771095 | − | 0.211857i | ||||
\(554\) | −17.7317 | −0.753347 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −6.89241 | −0.292303 | ||||||||
\(557\) | −0.974054 | − | 2.67619i | −0.0412720 | − | 0.113394i | 0.917345 | − | 0.398094i | \(-0.130328\pi\) |
−0.958617 | + | 0.284700i | \(0.908106\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 11.8876 | − | 9.97485i | 0.502790 | − | 0.421891i | ||||
\(560\) | 5.34759 | − | 0.942924i | 0.225977 | − | 0.0398458i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 2.64786 | + | 15.0167i | 0.111693 | + | 0.633443i | ||||
\(563\) | 21.5088 | + | 12.4181i | 0.906489 | + | 0.523362i | 0.879300 | − | 0.476268i | \(-0.158011\pi\) |
0.0271895 | + | 0.999630i | \(0.491344\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 8.00663 | + | 13.8679i | 0.336841 | + | 0.583427i | ||||
\(566\) | −12.2266 | + | 21.1771i | −0.513922 | + | 0.890139i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −6.94323 | − | 8.27462i | −0.291332 | − | 0.347195i | ||||
\(569\) | 8.80519 | − | 5.08368i | 0.369133 | − | 0.213119i | −0.303947 | − | 0.952689i | \(-0.598304\pi\) |
0.673080 | + | 0.739570i | \(0.264971\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 3.25922 | − | 18.4839i | 0.136394 | − | 0.773528i | −0.837485 | − | 0.546460i | \(-0.815975\pi\) |
0.973879 | − | 0.227068i | \(-0.0729140\pi\) | |||||||
\(572\) | −15.8679 | + | 18.9106i | −0.663469 | + | 0.790691i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −7.37598 | + | 20.2653i | −0.307868 | + | 0.845859i | ||||
\(575\) | 7.45108 | − | 8.87985i | 0.310731 | − | 0.370315i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −18.5265 | − | 3.26672i | −0.771267 | − | 0.135995i | −0.225852 | − | 0.974162i | \(-0.572517\pi\) |
−0.545415 | + | 0.838166i | \(0.683628\pi\) | |||||||
\(578\) | −13.9201 | + | 8.03676i | −0.578999 | + | 0.334285i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 9.95132 | − | 3.62198i | 0.413206 | − | 0.150395i | ||||
\(581\) | −7.19040 | + | 12.4541i | −0.298308 | + | 0.516685i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −36.8745 | − | 30.9414i | −1.52719 | − | 1.28146i | ||||
\(584\) | −3.07693 | − | 1.77647i | −0.127324 | − | 0.0735107i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 12.5725i | 0.519366i | ||||||||
\(587\) | −30.2531 | + | 5.33444i | −1.24868 | + | 0.220176i | −0.758632 | − | 0.651520i | \(-0.774132\pi\) |
−0.490048 | + | 0.871696i | \(0.663021\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −4.99711 | − | 1.81880i | −0.205902 | − | 0.0749423i | ||||
\(590\) | 4.55529 | + | 12.5156i | 0.187538 | + | 0.515258i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0.676854 | − | 6.04499i | 0.0278185 | − | 0.248447i | ||||
\(593\) | −6.18887 | −0.254147 | −0.127073 | − | 0.991893i | \(-0.540558\pi\) | ||||
−0.127073 | + | 0.991893i | \(0.540558\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 4.91147 | + | 1.78763i | 0.201351 | + | 0.0732857i | ||||
\(596\) | 2.67738 | − | 2.24659i | 0.109670 | − | 0.0920240i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 26.2272i | 1.07251i | ||||||||
\(599\) | 0.183355 | + | 1.03986i | 0.00749169 | + | 0.0424875i | 0.988324 | − | 0.152364i | \(-0.0486886\pi\) |
−0.980833 | + | 0.194852i | \(0.937578\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −11.9378 | − | 10.0170i | −0.486954 | − | 0.408603i | 0.365979 | − | 0.930623i | \(-0.380734\pi\) |
−0.852933 | + | 0.522020i | \(0.825179\pi\) | |||||||
\(602\) | −3.91887 | − | 6.78767i | −0.159721 | − | 0.276645i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −8.84115 | + | 3.21791i | −0.359741 | + | 0.130935i | ||||
\(605\) | 41.8883 | + | 49.9205i | 1.70300 | + | 2.02956i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −31.7497 | − | 5.59834i | −1.28868 | − | 0.227229i | −0.513020 | − | 0.858377i | \(-0.671473\pi\) |
−0.775663 | + | 0.631147i | \(0.782584\pi\) | |||||||
\(608\) | 0.271599 | − | 1.54031i | 0.0110148 | − | 0.0624680i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −8.69169 | + | 23.8802i | −0.351916 | + | 0.966882i | ||||
\(611\) | 8.69490 | − | 23.8890i | 0.351758 | − | 0.966447i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −0.968237 | + | 5.49114i | −0.0391067 | + | 0.221785i | −0.998098 | − | 0.0616512i | \(-0.980363\pi\) |
0.958991 | + | 0.283436i | \(0.0914745\pi\) | |||||||
\(614\) | −9.25922 | − | 1.63265i | −0.373672 | − | 0.0658884i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 8.01438 | + | 9.55117i | 0.322909 | + | 0.384827i | ||||
\(617\) | 3.80891 | − | 1.38633i | 0.153341 | − | 0.0558116i | −0.264209 | − | 0.964465i | \(-0.585111\pi\) |
0.417550 | + | 0.908654i | \(0.362889\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 3.68705 | + | 6.38616i | 0.148195 | + | 0.256681i | 0.930560 | − | 0.366138i | \(-0.119320\pi\) |
−0.782365 | + | 0.622820i | \(0.785987\pi\) | |||||||
\(620\) | −6.80156 | − | 5.70718i | −0.273157 | − | 0.229206i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 2.79599 | + | 15.8568i | 0.112109 | + | 0.635801i | ||||
\(623\) | − | 33.8176i | − | 1.35487i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −23.5843 | + | 19.7895i | −0.943370 | + | 0.791581i | ||||
\(626\) | 0.541225 | + | 0.196990i | 0.0216317 | + | 0.00787330i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −2.53470 | −0.101146 | ||||||||
\(629\) | 3.47349 | − | 4.71327i | 0.138497 | − | 0.187930i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 2.86348 | + | 7.86734i | 0.113993 | + | 0.313194i | 0.983549 | − | 0.180641i | \(-0.0578171\pi\) |
−0.869556 | + | 0.493834i | \(0.835595\pi\) | |||||||
\(632\) | −2.39595 | − | 0.872054i | −0.0953057 | − | 0.0346884i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −11.5741 | + | 2.04083i | −0.459667 | + | 0.0810517i | ||||
\(635\) | − | 16.6640i | − | 0.661289i | ||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 9.54209 | + | 5.50913i | 0.378071 | + | 0.218280i | ||||
\(638\) | 18.6271 | + | 15.6300i | 0.737453 | + | 0.618797i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1.30572 | − | 2.26157i | 0.0516130 | − | 0.0893964i | ||||
\(641\) | −11.1583 | + | 4.06129i | −0.440726 | + | 0.160411i | −0.552846 | − | 0.833283i | \(-0.686458\pi\) |
0.112120 | + | 0.993695i | \(0.464236\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −33.5232 | + | 19.3547i | −1.32203 | + | 0.763273i | −0.984052 | − | 0.177882i | \(-0.943076\pi\) |
−0.337976 | + | 0.941155i | \(0.609742\pi\) | |||||||
\(644\) | 13.0453 | + | 2.30024i | 0.514057 | + | 0.0906422i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.967710 | − | 1.15327i | 0.0380740 | − | 0.0453749i | ||||
\(647\) | −6.03672 | + | 16.5857i | −0.237328 | + | 0.652053i | 0.762658 | + | 0.646801i | \(0.223894\pi\) |
−0.999986 | + | 0.00525130i | \(0.998328\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −19.6575 | + | 23.4269i | −0.771624 | + | 0.919586i | ||||
\(650\) | −1.30083 | + | 7.37739i | −0.0510228 | + | 0.289365i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 8.12155 | − | 4.68898i | 0.318065 | − | 0.183635i | ||||
\(653\) | −9.49773 | − | 11.3189i | −0.371675 | − | 0.442945i | 0.547493 | − | 0.836810i | \(-0.315582\pi\) |
−0.919168 | + | 0.393865i | \(0.871138\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 13.6491 | − | 23.6410i | 0.533316 | − | 0.923731i | ||||
\(656\) | 5.18574 | + | 8.98197i | 0.202469 | + | 0.350687i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −11.1198 | − | 6.41999i | −0.433493 | − | 0.250277i | ||||
\(659\) | −1.14933 | − | 6.51815i | −0.0447714 | − | 0.253911i | 0.954205 | − | 0.299155i | \(-0.0967047\pi\) |
−0.998976 | + | 0.0452437i | \(0.985594\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 6.22992 | − | 1.09850i | 0.242316 | − | 0.0427268i | −0.0511712 | − | 0.998690i | \(-0.516295\pi\) |
0.293487 | + | 0.955963i | \(0.405184\pi\) | |||||||
\(662\) | −10.8299 | + | 9.08738i | −0.420917 | + | 0.353191i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 2.36542 | + | 6.49893i | 0.0917960 | + | 0.252207i | ||||
\(665\) | 8.49307 | 0.329347 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 25.8340 | 1.00030 | ||||||||
\(668\) | 3.56469 | + | 9.79392i | 0.137922 | + | 0.378938i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −21.1125 | + | 17.7155i | −0.815645 | + | 0.684408i | ||||
\(671\) | −57.4645 | + | 10.1325i | −2.21839 | + | 0.391163i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 4.26450 | + | 24.1852i | 0.164384 | + | 0.932269i | 0.949697 | + | 0.313170i | \(0.101391\pi\) |
−0.785313 | + | 0.619099i | \(0.787498\pi\) | |||||||
\(674\) | 9.28425 | + | 5.36027i | 0.357616 | + | 0.206470i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −1.97464 | − | 3.42017i | −0.0759476 | − | 0.131545i | ||||
\(677\) | −11.2322 | + | 19.4547i | −0.431687 | + | 0.747704i | −0.997019 | − | 0.0771600i | \(-0.975415\pi\) |
0.565332 | + | 0.824864i | \(0.308748\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 21.7882 | + | 25.9662i | 0.836155 | + | 0.996491i | ||||
\(680\) | 2.17686 | − | 1.25681i | 0.0834786 | − | 0.0481964i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 3.54014 | − | 20.0771i | 0.135559 | − | 0.768794i | ||||
\(683\) | −21.2410 | + | 25.3140i | −0.812764 | + | 0.968614i | −0.999906 | − | 0.0137189i | \(-0.995633\pi\) |
0.187142 | + | 0.982333i | \(0.440077\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −5.57496 | + | 15.3171i | −0.213008 | + | 0.585235i | ||||
\(686\) | 12.9332 | − | 15.4131i | 0.493790 | − | 0.588476i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −3.71206 | − | 0.654536i | −0.141521 | − | 0.0249540i | ||||
\(689\) | 28.6222 | − | 16.5251i | 1.09042 | − | 0.629554i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −32.8077 | + | 11.9410i | −1.24806 | + | 0.454258i | −0.879747 | − | 0.475442i | \(-0.842288\pi\) |
−0.368317 | + | 0.929700i | \(0.620066\pi\) | |||||||
\(692\) | −1.46490 | + | 2.53729i | −0.0556872 | + | 0.0964531i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 5.40451 | + | 4.53492i | 0.205152 | + | 0.172143i | ||||
\(695\) | −15.5877 | − | 8.99954i | −0.591274 | − | 0.341372i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 9.98299i | 0.378133i | ||||||||
\(698\) | 25.2560 | − | 4.45331i | 0.955954 | − | 0.168560i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 3.55540 | + | 1.29406i | 0.134381 | + | 0.0489108i | ||||
\(701\) | −9.15308 | − | 25.1479i | −0.345707 | − | 0.949823i | −0.983706 | − | 0.179785i | \(-0.942460\pi\) |
0.637999 | − | 0.770037i | \(-0.279763\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.68438 | − | 9.12735i | 0.101243 | − | 0.344245i | ||||
\(704\) | 5.99619 | 0.225990 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −6.16948 | − | 2.24551i | −0.232191 | − | 0.0845107i | ||||
\(707\) | 6.53472 | − | 5.48328i | 0.245763 | − | 0.206220i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | − | 6.67084i | − | 0.250529i | −0.992123 | − | 0.125264i | \(-0.960022\pi\) | ||
0.992123 | − | 0.125264i | \(-0.0399779\pi\) | |||||||
\(710\) | −4.89828 | − | 27.7795i | −0.183829 | − | 1.04255i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −12.4586 | − | 10.4540i | −0.466906 | − | 0.391781i | ||||
\(713\) | −10.8298 | − | 18.7578i | −0.405580 | − | 0.702485i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −60.5782 | + | 22.0487i | −2.26550 | + | 0.824573i | ||||
\(716\) | −5.63534 | − | 6.71594i | −0.210603 | − | 0.250986i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 19.5546 | + | 3.44800i | 0.729771 | + | 0.128678i | ||||
\(719\) | −8.26991 | + | 46.9010i | −0.308416 | + | 1.74911i | 0.298559 | + | 0.954391i | \(0.403494\pi\) |
−0.606975 | + | 0.794721i | \(0.707617\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 7.68026 | − | 21.1013i | 0.286028 | − | 0.785855i | ||||
\(722\) | −5.66169 | + | 15.5554i | −0.210706 | + | 0.578910i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 4.64617 | − | 26.3498i | 0.172674 | − | 0.979281i | ||||
\(725\) | 7.26679 | + | 1.28133i | 0.269882 | + | 0.0475874i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −32.2308 | − | 38.4112i | −1.19537 | − | 1.42459i | −0.879572 | − | 0.475766i | \(-0.842171\pi\) |
−0.315802 | − | 0.948825i | \(-0.602274\pi\) | |||||||
\(728\) | −8.04430 | + | 2.92789i | −0.298142 | + | 0.108515i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −4.63913 | − | 8.03520i | −0.171702 | − | 0.297396i | ||||
\(731\) | −2.77931 | − | 2.33212i | −0.102796 | − | 0.0862565i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 4.88298 | + | 27.6927i | 0.180357 | + | 1.02285i | 0.931777 | + | 0.363031i | \(0.118258\pi\) |
−0.751420 | + | 0.659824i | \(0.770631\pi\) | |||||||
\(734\) | 21.5993i | 0.797244i | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 4.88011 | − | 4.09490i | 0.179883 | − | 0.150940i | ||||
\(737\) | −59.4657 | − | 21.6438i | −2.19045 | − | 0.797258i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 32.3511 | 1.19006 | 0.595028 | − | 0.803705i | \(-0.297141\pi\) | ||||
0.595028 | + | 0.803705i | \(0.297141\pi\) | |||||||
\(740\) | 9.42380 | − | 12.7874i | 0.346426 | − | 0.470073i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −5.70921 | − | 15.6859i | −0.209592 | − | 0.575848i | ||||
\(743\) | 7.05630 | + | 2.56828i | 0.258871 | + | 0.0942212i | 0.468195 | − | 0.883625i | \(-0.344904\pi\) |
−0.209325 | + | 0.977846i | \(0.567127\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 8.98851 | − | 1.58492i | 0.329313 | − | 0.0580668i | ||||
\(746\) | 31.2808i | 1.14527i | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 4.99834 | + | 2.88579i | 0.182757 | + | 0.105515i | ||||
\(749\) | 32.3441 | + | 27.1399i | 1.18183 | + | 0.991672i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −7.37086 | + | 12.7667i | −0.268966 | + | 0.465863i | −0.968595 | − | 0.248643i | \(-0.920015\pi\) |
0.699629 | + | 0.714506i | \(0.253349\pi\) | |||||||
\(752\) | −5.80261 | + | 2.11198i | −0.211599 | + | 0.0770159i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −14.4584 | + | 8.34759i | −0.526546 | + | 0.304001i | ||||
\(755\) | −24.1966 | − | 4.26651i | −0.880603 | − | 0.155274i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −14.2111 | + | 16.9361i | −0.516511 | + | 0.615553i | −0.959752 | − | 0.280849i | \(-0.909384\pi\) |
0.443241 | + | 0.896402i | \(0.353828\pi\) | |||||||
\(758\) | 6.86090 | − | 18.8502i | 0.249199 | − | 0.684669i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2.62546 | − | 3.12890i | 0.0952353 | − | 0.113497i | ||||
\(761\) | −5.52983 | + | 31.3612i | −0.200456 | + | 1.13684i | 0.703975 | + | 0.710225i | \(0.251407\pi\) |
−0.904431 | + | 0.426619i | \(0.859704\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 11.2185 | − | 6.47698i | 0.406135 | − | 0.234482i | ||||
\(764\) | 1.16832 | + | 1.39235i | 0.0422682 | + | 0.0503733i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 8.24957 | − | 14.2887i | 0.298069 | − | 0.516271i | ||||
\(767\) | −10.4986 | − | 18.1841i | −0.379082 | − | 0.656589i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 19.6375 | + | 11.3377i | 0.708148 | + | 0.408849i | 0.810375 | − | 0.585912i | \(-0.199263\pi\) |
−0.102227 | + | 0.994761i | \(0.532597\pi\) | |||||||
\(770\) | 5.65395 | + | 32.0652i | 0.203754 | + | 1.15555i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −1.04887 | + | 0.184945i | −0.0377497 | + | 0.00665630i | ||||
\(773\) | −9.05550 | + | 7.59846i | −0.325704 | + | 0.273298i | −0.790947 | − | 0.611885i | \(-0.790411\pi\) |
0.465243 | + | 0.885183i | \(0.345967\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −2.11593 | − | 5.81348i | −0.0760066 | − | 0.208826i | ||||
\(776\) | 16.3015 | 0.585189 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −0.826432 | −0.0296290 | ||||||||
\(779\) | 5.54818 | + | 15.2435i | 0.198784 | + | 0.546155i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 49.6162 | − | 41.6329i | 1.77541 | − | 1.48974i | ||||
\(782\) | 6.03875 | − | 1.06479i | 0.215945 | − | 0.0380770i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −0.464737 | − | 2.63566i | −0.0165978 | − | 0.0941306i | ||||
\(785\) | −5.73241 | − | 3.30961i | −0.204598 | − | 0.118125i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −4.07295 | − | 7.05455i | −0.145185 | − | 0.251468i | 0.784257 | − | 0.620436i | \(-0.213044\pi\) |
−0.929442 | + | 0.368969i | \(0.879711\pi\) | |||||||
\(788\) | 7.87833 | − | 13.6457i | 0.280654 | − | 0.486107i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −4.27995 | − | 5.10064i | −0.152274 | − | 0.181473i | ||||
\(791\) | −11.0423 | + | 6.37525i | −0.392618 | + | 0.226678i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 6.95695 | − | 39.4548i | 0.247049 | − | 1.40108i | ||||
\(794\) | 5.81660 | − | 6.93196i | 0.206424 | − | 0.246006i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −7.05829 | + | 19.3925i | −0.250175 | + | 0.687349i | ||||
\(797\) | 16.0737 | − | 19.1558i | 0.569358 | − | 0.678535i | −0.402141 | − | 0.915578i | \(-0.631734\pi\) |
0.971499 | + | 0.237043i | \(0.0761782\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.85340 | − | 1.03211i | −0.207079 | − | 0.0365135i | ||||
\(800\) | 1.57582 | − | 0.909799i | 0.0557136 | − | 0.0321663i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 12.3339 | − | 4.48916i | 0.435524 | − | 0.158518i | ||||
\(803\) | 10.6520 | − | 18.4499i | 0.375902 | − | 0.651081i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 26.4994 | + | 22.2357i | 0.933982 | + | 0.783704i | ||||
\(806\) | 12.1222 | + | 6.99875i | 0.426986 | + | 0.246521i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | − | 4.10247i | − | 0.144325i | ||||||
\(809\) | −6.92526 | + | 1.22111i | −0.243479 | + | 0.0429319i | −0.294056 | − | 0.955788i | \(-0.595005\pi\) |
0.0505767 | + | 0.998720i | \(0.483894\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 7.62149 | + | 2.77399i | 0.267627 | + | 0.0974081i | 0.472348 | − | 0.881412i | \(-0.343407\pi\) |
−0.204721 | + | 0.978820i | \(0.565629\pi\) | |||||||
\(812\) | 2.88399 | + | 7.92370i | 0.101208 | + | 0.278067i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 36.2469 | + | 4.05854i | 1.27045 | + | 0.142252i | ||||
\(815\) | 24.4899 | 0.857845 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −5.53997 | − | 2.01638i | −0.193819 | − | 0.0705443i | ||||
\(818\) | −6.05236 | + | 5.07854i | −0.211616 | + | 0.177567i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 27.0845i | 0.945831i | ||||||||
\(821\) | 8.00236 | + | 45.3837i | 0.279284 | + | 1.58390i | 0.725015 | + | 0.688733i | \(0.241833\pi\) |
−0.445730 | + | 0.895167i | \(0.647056\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 9.04503 | + | 7.58968i | 0.315290 | + | 0.264560i | 0.786674 | − | 0.617368i | \(-0.211801\pi\) |
−0.471384 | + | 0.881928i | \(0.656246\pi\) | |||||||
\(824\) | −5.39967 | − | 9.35250i | −0.188106 | − | 0.325810i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −9.96548 | + | 3.62714i | −0.346743 | + | 0.126204i | ||||
\(827\) | −18.3297 | − | 21.8445i | −0.637387 | − | 0.759608i | 0.346568 | − | 0.938025i | \(-0.387347\pi\) |
−0.983955 | + | 0.178417i | \(0.942902\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 0.266399 | + | 0.0469734i | 0.00925242 | + | 0.00163145i | 0.178272 | − | 0.983981i | \(-0.442949\pi\) |
−0.169020 | + | 0.985613i | \(0.554060\pi\) | |||||||
\(830\) | −3.13621 | + | 17.7864i | −0.108860 | + | 0.617374i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −1.40808 | + | 3.86867i | −0.0488164 | + | 0.134122i | ||||
\(833\) | 0.881066 | − | 2.42071i | 0.0305271 | − | 0.0838726i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −4.72629 | + | 26.8041i | −0.163560 | + | 0.927595i | ||||
\(836\) | 9.23602 | + | 1.62856i | 0.319435 | + | 0.0563249i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −20.5569 | − | 24.4987i | −0.710126 | − | 0.846295i | ||||
\(839\) | 21.9497 | − | 7.98904i | 0.757788 | − | 0.275812i | 0.0659091 | − | 0.997826i | \(-0.479005\pi\) |
0.691879 | + | 0.722013i | \(0.256783\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −6.27756 | − | 10.8731i | −0.216468 | − | 0.374933i | ||||
\(842\) | −4.29957 | − | 3.60776i | −0.148173 | − | 0.124332i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −1.07686 | − | 6.10718i | −0.0370671 | − | 0.210218i | ||||
\(845\) | − | 10.3133i | − | 0.354788i | ||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −39.7490 | + | 33.3534i | −1.36579 | + | 1.14604i | ||||
\(848\) | −7.54368 | − | 2.74567i | −0.259051 | − | 0.0942868i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 1.75144 | 0.0600739 | ||||||||
\(851\) | 32.2719 | − | 21.4505i | 1.10627 | − | 0.735314i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −6.83552 | − | 18.7804i | −0.234044 | − | 0.643030i | −1.00000 | 0.000137243i | \(-0.999956\pi\) | |
0.765956 | − | 0.642893i | \(-0.222266\pi\) | |||||||
\(854\) | −19.0145 | − | 6.92073i | −0.650664 | − | 0.236822i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 19.9970 | − | 3.52602i | 0.683485 | − | 0.120517i | ||||
\(857\) | 16.1108i | 0.550334i | 0.961396 | + | 0.275167i | \(0.0887331\pi\) | ||||
−0.961396 | + | 0.275167i | \(0.911267\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −2.89285 | − | 1.67019i | −0.0987029 | − | 0.0569861i | 0.449836 | − | 0.893111i | \(-0.351482\pi\) |
−0.548539 | + | 0.836125i | \(0.684816\pi\) | |||||||
\(860\) | −7.54044 | − | 6.32718i | −0.257127 | − | 0.215755i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −9.97606 | + | 17.2790i | −0.339786 | + | 0.588526i | ||||
\(863\) | 36.4573 | − | 13.2694i | 1.24102 | − | 0.451695i | 0.363664 | − | 0.931530i | \(-0.381526\pi\) |
0.877359 | + | 0.479835i | \(0.159303\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −6.62596 | + | 3.82550i | −0.225289 | + | 0.130071i | ||||
\(866\) | 15.5806 | + | 2.74727i | 0.529449 | + | 0.0933562i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 4.54433 | − | 5.41572i | 0.154244 | − | 0.183821i | ||||
\(869\) | 5.22900 | − | 14.3666i | 0.177382 | − | 0.487352i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 27.9286 | − | 33.2840i | 0.946323 | − | 1.12778i | ||||
\(872\) | 1.08180 | − | 6.13517i | 0.0366343 | − | 0.207763i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 8.62909 | − | 4.98200i | 0.291883 | − | 0.168519i | ||||
\(875\) | −11.1008 | − | 13.2295i | −0.375277 | − | 0.447238i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 1.42022 | − | 2.45989i | 0.0479573 | − | 0.0830644i | −0.841050 | − | 0.540957i | \(-0.818062\pi\) |
0.889008 | + | 0.457892i | \(0.151396\pi\) | |||||||
\(878\) | 1.53164 | + | 2.65288i | 0.0516903 | + | 0.0895302i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 13.5608 | + | 7.82933i | 0.457135 | + | 0.263927i | ||||
\(881\) | 8.77517 | + | 49.7665i | 0.295643 | + | 1.67668i | 0.664577 | + | 0.747220i | \(0.268612\pi\) |
−0.368934 | + | 0.929456i | \(0.620277\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 28.2429 | − | 4.97998i | 0.950448 | − | 0.167590i | 0.323132 | − | 0.946354i | \(-0.395264\pi\) |
0.627317 | + | 0.778764i | \(0.284153\pi\) | |||||||
\(884\) | −3.03563 | + | 2.54720i | −0.102099 | + | 0.0856715i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0.943712 | + | 2.59283i | 0.0317046 | + | 0.0871077i | ||||
\(887\) | 14.6784 | 0.492851 | 0.246425 | − | 0.969162i | \(-0.420744\pi\) | ||||
0.246425 | + | 0.969162i | \(0.420744\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 13.2686 | 0.445015 | ||||||||
\(890\) | −14.5260 | − | 39.9099i | −0.486913 | − | 1.33778i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −0.642826 | + | 0.539395i | −0.0215234 | + | 0.0180603i | ||||
\(893\) | −9.51145 | + | 1.67713i | −0.318289 | + | 0.0561229i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −3.97560 | − | 22.5467i | −0.132889 | − | 0.753654i | ||||
\(896\) | 1.80077 | + | 1.03967i | 0.0601594 | + | 0.0347331i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 11.3281 | + | 19.6209i | 0.378024 | + | 0.654757i | ||||
\(899\) | 6.89383 | − | 11.9405i | 0.229922 | − | 0.398237i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −4.96689 | − | 5.91931i | −0.165471 | − | 0.197201i | ||||
\(902\) | −53.8576 | + | 31.0947i | −1.79326 | + | 1.03534i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −1.06481 | + | 6.03882i | −0.0354149 | + | 0.200848i | ||||
\(905\) | 44.9130 | − | 53.5252i | 1.49296 | − | 1.77924i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 15.3162 | − | 42.0808i | 0.508565 | − | 1.39727i | −0.374152 | − | 0.927367i | \(-0.622066\pi\) |
0.882717 | − | 0.469904i | \(-0.155711\pi\) | |||||||
\(908\) | 4.19335 | − | 4.99744i | 0.139161 | − | 0.165846i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −22.0157 | − | 3.88197i | −0.729815 | − | 0.128686i | ||||
\(911\) | −5.76500 | + | 3.32842i | −0.191003 | + | 0.110276i | −0.592452 | − | 0.805606i | \(-0.701840\pi\) |
0.401449 | + | 0.915881i | \(0.368507\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −38.9688 | + | 14.1835i | −1.28968 | + | 0.469405i | ||||
\(914\) | 14.7512 | − | 25.5499i | 0.487927 | − | 0.845114i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −5.05906 | − | 4.24506i | −0.167156 | − | 0.140261i | ||||
\(917\) | 18.8241 | + | 10.8681i | 0.621626 | + | 0.358896i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 44.6670i | 1.47343i | 0.676203 | + | 0.736715i | \(0.263624\pi\) | ||||
−0.676203 | + | 0.736715i | \(0.736376\pi\) | |||||||
\(920\) | 16.3835 | − | 2.88885i | 0.540148 | − | 0.0952427i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −3.82897 | − | 1.39363i | −0.126100 | − | 0.0458968i | ||||
\(923\) | 15.2097 | + | 41.7884i | 0.500634 | + | 1.37548i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 10.1416 | − | 4.43313i | 0.333454 | − | 0.145760i | ||||
\(926\) | −2.94242 | −0.0966941 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 3.81067 | + | 1.38697i | 0.125091 | + | 0.0455295i | ||||
\(929\) | −1.25524 | + | 1.05327i | −0.0411831 | + | 0.0345567i | −0.663147 | − | 0.748489i | \(-0.730780\pi\) |
0.621964 | + | 0.783046i | \(0.286335\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | − | 4.18596i | − | 0.137189i | ||||||
\(932\) | −3.92607 | − | 22.2659i | −0.128603 | − | 0.729342i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −4.06190 | − | 3.40834i | −0.132909 | − | 0.111524i | ||||
\(935\) | 7.53606 | + | 13.0528i | 0.246456 | + | 0.426874i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 36.9995 | − | 13.4667i | 1.20872 | − | 0.439938i | 0.342461 | − | 0.939532i | \(-0.388740\pi\) |
0.866260 | + | 0.499594i | \(0.166517\pi\) | |||||||
\(938\) | −14.1059 | − | 16.8107i | −0.460573 | − | 0.548890i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −15.8806 | − | 2.80019i | −0.517970 | − | 0.0913320i | ||||
\(941\) | 5.32651 | − | 30.2081i | 0.173639 | − | 0.984757i | −0.766064 | − | 0.642765i | \(-0.777787\pi\) |
0.939703 | − | 0.341992i | \(-0.111102\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −22.5979 | + | 62.0873i | −0.735890 | + | 2.02184i | ||||
\(944\) | −1.74436 | + | 4.79260i | −0.0567742 | + | 0.155986i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 3.92472 | − | 22.2582i | 0.127604 | − | 0.723677i | ||||
\(947\) | 21.6531 | + | 3.81803i | 0.703632 | + | 0.124069i | 0.514005 | − | 0.857787i | \(-0.328161\pi\) |
0.189626 | + | 0.981856i | \(0.439272\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 9.40221 | + | 11.2051i | 0.305209 | + | 0.363734i | ||||
\(950\) | 2.67436 | − | 0.973386i | 0.0867676 | − | 0.0315808i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1.00073 | + | 1.73331i | 0.0324338 | + | 0.0561770i | ||||
\(953\) | −10.5688 | − | 8.86830i | −0.342358 | − | 0.287272i | 0.455355 | − | 0.890310i | \(-0.349512\pi\) |
−0.797713 | + | 0.603038i | \(0.793957\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.824219 | + | 4.67438i | 0.0266711 | + | 0.151259i | ||||
\(956\) | 17.1474i | 0.554586i | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −13.6867 | + | 11.4845i | −0.442198 | + | 0.371048i | ||||
\(959\) | −12.1962 | − | 4.43904i | −0.393835 | − | 0.143344i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 19.4402 | 0.627103 | ||||||||
\(962\) | −11.1303 | + | 22.4330i | −0.358857 | + | 0.723268i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 1.94526 | + | 5.34455i | 0.0626525 | + | 0.172136i | ||||
\(965\) | −2.61358 | − | 0.951267i | −0.0841342 | − | 0.0306224i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −42.1185 | + | 7.42663i | −1.35444 | + | 0.238824i | −0.803293 | − | 0.595584i | \(-0.796921\pi\) |
−0.551147 | + | 0.834408i | \(0.685810\pi\) | |||||||
\(968\) | 24.9543i | 0.802062i | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 36.8670 | + | 21.2851i | 1.18373 | + | 0.683425i | ||||
\(971\) | −42.7120 | − | 35.8396i | −1.37069 | − | 1.15015i | −0.972515 | − | 0.232840i | \(-0.925198\pi\) |
−0.398178 | − | 0.917308i | \(-0.630357\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 7.16585 | − | 12.4116i | 0.229727 | − | 0.397898i | ||||
\(974\) | −29.4088 | + | 10.7039i | −0.942320 | + | 0.342976i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −8.42760 | + | 4.86567i | −0.269761 | + | 0.155746i | ||||
\(977\) | 18.0002 | + | 3.17393i | 0.575878 | + | 0.101543i | 0.453999 | − | 0.891002i | \(-0.349997\pi\) |
0.121879 | + | 0.992545i | \(0.461108\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 62.6842 | − | 74.7042i | 2.00340 | − | 2.38756i | ||||
\(980\) | 2.39039 | − | 6.56754i | 0.0763581 | − | 0.209792i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 8.65064 | − | 10.3094i | 0.276053 | − | 0.328987i | ||||
\(983\) | 4.37560 | − | 24.8153i | 0.139560 | − | 0.791485i | −0.832015 | − | 0.554753i | \(-0.812813\pi\) |
0.971575 | − | 0.236731i | \(-0.0760762\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 35.6348 | − | 20.5738i | 1.13542 | − | 0.655534i | ||||
\(986\) | 2.50901 | + | 2.99012i | 0.0799032 | + | 0.0952249i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −3.21961 | + | 5.57653i | −0.102430 | + | 0.177413i | ||||
\(989\) | −12.0063 | − | 20.7955i | −0.381778 | − | 0.661259i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −25.7428 | − | 14.8626i | −0.817748 | − | 0.472127i | 0.0318914 | − | 0.999491i | \(-0.489847\pi\) |
−0.849639 | + | 0.527364i | \(0.823180\pi\) | |||||||
\(992\) | −0.590399 | − | 3.34832i | −0.0187452 | − | 0.106309i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 22.1194 | − | 3.90024i | 0.701584 | − | 0.123708i | ||||
\(995\) | −41.2840 | + | 34.6414i | −1.30879 | + | 1.09820i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −3.03661 | − | 8.34301i | −0.0961703 | − | 0.264226i | 0.882274 | − | 0.470736i | \(-0.156012\pi\) |
−0.978444 | + | 0.206510i | \(0.933789\pi\) | |||||||
\(998\) | 36.7694 | 1.16392 | ||||||||
\(999\) | 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 | 666.2.bj.c.289.2 | 12 | ||
3.2 | odd | 2 | 74.2.h.a.67.1 | yes | 12 | ||
12.11 | even | 2 | 592.2.bq.b.289.2 | 12 | |||
37.21 | even | 18 | inner | 666.2.bj.c.613.2 | 12 | ||
111.50 | even | 36 | 2738.2.a.s.1.4 | 6 | |||
111.95 | odd | 18 | 74.2.h.a.21.1 | ✓ | 12 | ||
111.98 | even | 36 | 2738.2.a.r.1.3 | 6 | |||
444.95 | even | 18 | 592.2.bq.b.465.2 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
74.2.h.a.21.1 | ✓ | 12 | 111.95 | odd | 18 | ||
74.2.h.a.67.1 | yes | 12 | 3.2 | odd | 2 | ||
592.2.bq.b.289.2 | 12 | 12.11 | even | 2 | |||
592.2.bq.b.465.2 | 12 | 444.95 | even | 18 | |||
666.2.bj.c.289.2 | 12 | 1.1 | even | 1 | trivial | ||
666.2.bj.c.613.2 | 12 | 37.21 | even | 18 | inner | ||
2738.2.a.r.1.3 | 6 | 111.98 | even | 36 | |||
2738.2.a.s.1.4 | 6 | 111.50 | even | 36 |