Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [630,2,Mod(53,630)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(630, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("630.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 630.ce (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.03057532734\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 233.1 | ||
Character | \(\chi\) | \(=\) | 630.233 |
Dual form | 630.2.ce.c.557.1 |
$q$-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 \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(281\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965926 | + | 0.258819i | −0.683013 | + | 0.183013i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | −1.56834 | − | 1.59384i | −0.701381 | − | 0.712787i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.65758 | − | 2.06214i | 0.626508 | − | 0.779415i | ||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.92741 | + | 1.13362i | 0.609501 | + | 0.358481i | ||||
\(11\) | −0.565444 | + | 0.326459i | −0.170488 | + | 0.0984311i | −0.582816 | − | 0.812604i | \(-0.698049\pi\) |
0.412328 | + | 0.911035i | \(0.364716\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.771886 | + | 0.771886i | 0.214083 | + | 0.214083i | 0.805999 | − | 0.591917i | \(-0.201629\pi\) |
−0.591917 | + | 0.805999i | \(0.701629\pi\) | |||||||
\(14\) | −1.06738 | + | 2.42089i | −0.285270 | + | 0.647009i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 0.554483 | − | 2.06936i | 0.134482 | − | 0.501894i | −0.865517 | − | 0.500879i | \(-0.833010\pi\) |
0.999999 | − | 0.00101492i | \(-0.000323058\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.34372 | − | 2.50785i | −0.996517 | − | 0.575339i | −0.0893010 | − | 0.996005i | \(-0.528463\pi\) |
−0.907216 | + | 0.420665i | \(0.861797\pi\) | |||||||
\(20\) | −2.15514 | − | 0.596138i | −0.481904 | − | 0.133300i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.461683 | − | 0.461683i | 0.0984311 | − | 0.0984311i | ||||
\(23\) | −0.242669 | − | 0.905652i | −0.0505999 | − | 0.188841i | 0.936000 | − | 0.352000i | \(-0.114498\pi\) |
−0.986600 | + | 0.163159i | \(0.947832\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.0806473 | + | 4.99935i | −0.0161295 | + | 0.999870i | ||||
\(26\) | −0.945363 | − | 0.545806i | −0.185401 | − | 0.107041i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.404442 | − | 2.61466i | 0.0764323 | − | 0.494124i | ||||
\(29\) | −9.79270 | −1.81846 | −0.909229 | − | 0.416296i | \(-0.863328\pi\) | ||||
−0.909229 | + | 0.416296i | \(0.863328\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.897620 | − | 1.55472i | −0.161217 | − | 0.279237i | 0.774088 | − | 0.633078i | \(-0.218209\pi\) |
−0.935306 | + | 0.353841i | \(0.884875\pi\) | |||||||
\(32\) | −0.258819 | + | 0.965926i | −0.0457532 | + | 0.170753i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.14236i | 0.367412i | ||||||||
\(35\) | −5.88637 | + | 0.592200i | −0.994977 | + | 0.100100i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.67864 | − | 6.26479i | −0.275967 | − | 1.02992i | −0.955190 | − | 0.295993i | \(-0.904350\pi\) |
0.679223 | − | 0.733932i | \(-0.262317\pi\) | |||||||
\(38\) | 4.84479 | + | 1.29816i | 0.785928 | + | 0.210589i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.23600 | + | 0.0180339i | 0.353542 | + | 0.00285141i | ||||
\(41\) | − | 7.90000i | − | 1.23377i | −0.787052 | − | 0.616886i | \(-0.788394\pi\) | ||
0.787052 | − | 0.616886i | \(-0.211606\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.0657249 | − | 0.0657249i | −0.0100230 | − | 0.0100230i | 0.702078 | − | 0.712100i | \(-0.252256\pi\) |
−0.712100 | + | 0.702078i | \(0.752256\pi\) | |||||||
\(44\) | −0.326459 | + | 0.565444i | −0.0492155 | + | 0.0852438i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.468800 | + | 0.811985i | 0.0691208 | + | 0.119721i | ||||
\(47\) | 3.18795 | − | 0.854209i | 0.465011 | − | 0.124599i | −0.0187039 | − | 0.999825i | \(-0.505954\pi\) |
0.483714 | + | 0.875226i | \(0.339287\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.50482 | − | 6.83634i | −0.214975 | − | 0.976620i | ||||
\(50\) | −1.21603 | − | 4.84987i | −0.171972 | − | 0.685876i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.05442 | + | 0.282530i | 0.146221 | + | 0.0391798i | ||||
\(53\) | 7.13943 | + | 1.91300i | 0.980676 | + | 0.262771i | 0.713329 | − | 0.700829i | \(-0.247186\pi\) |
0.267347 | + | 0.963600i | \(0.413853\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.40713 | + | 0.389229i | 0.189737 | + | 0.0524836i | ||||
\(56\) | 0.286062 | + | 2.63024i | 0.0382267 | + | 0.351481i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 9.45902 | − | 2.53454i | 1.24203 | − | 0.332801i | ||||
\(59\) | −3.39154 | − | 5.87431i | −0.441540 | − | 0.764771i | 0.556264 | − | 0.831006i | \(-0.312235\pi\) |
−0.997804 | + | 0.0662354i | \(0.978901\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.33834 | + | 7.51422i | −0.555467 | + | 0.962098i | 0.442400 | + | 0.896818i | \(0.354127\pi\) |
−0.997867 | + | 0.0652798i | \(0.979206\pi\) | |||||||
\(62\) | 1.26943 | + | 1.26943i | 0.161217 | + | 0.161217i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 0.0196860 | − | 2.44084i | 0.00244175 | − | 0.302749i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.21344 | − | 1.66489i | −0.759093 | − | 0.203398i | −0.141545 | − | 0.989932i | \(-0.545207\pi\) |
−0.617548 | + | 0.786534i | \(0.711874\pi\) | |||||||
\(68\) | −0.554483 | − | 2.06936i | −0.0672410 | − | 0.250947i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 5.53252 | − | 2.09552i | 0.661263 | − | 0.250463i | ||||
\(71\) | 7.68577i | 0.912134i | 0.889946 | + | 0.456067i | \(0.150742\pi\) | ||||
−0.889946 | + | 0.456067i | \(0.849258\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.58009 | − | 9.62903i | 0.301977 | − | 1.12699i | −0.633540 | − | 0.773710i | \(-0.718399\pi\) |
0.935517 | − | 0.353283i | \(-0.114935\pi\) | |||||||
\(74\) | 3.24289 | + | 5.61685i | 0.376979 | + | 0.652946i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −5.01569 | −0.575339 | ||||||||
\(77\) | −0.264067 | + | 1.70716i | −0.0300933 | + | 0.194548i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −10.3402 | − | 5.96992i | −1.16336 | − | 0.671668i | −0.211256 | − | 0.977431i | \(-0.567755\pi\) |
−0.952108 | + | 0.305763i | \(0.901089\pi\) | |||||||
\(80\) | −2.16447 | + | 0.561299i | −0.241995 | + | 0.0627551i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.04467 | + | 7.63081i | 0.225796 | + | 0.842682i | ||||
\(83\) | −0.838447 | + | 0.838447i | −0.0920315 | + | 0.0920315i | −0.751624 | − | 0.659592i | \(-0.770729\pi\) |
0.659592 | + | 0.751624i | \(0.270729\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.16784 | + | 2.36169i | −0.452066 | + | 0.256162i | ||||
\(86\) | 0.0804962 | + | 0.0464745i | 0.00868013 | + | 0.00501148i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.168988 | − | 0.630670i | 0.0180141 | − | 0.0672297i | ||||
\(89\) | 8.65123 | − | 14.9844i | 0.917028 | − | 1.58834i | 0.113124 | − | 0.993581i | \(-0.463914\pi\) |
0.803904 | − | 0.594759i | \(-0.202753\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.87120 | − | 0.312269i | 0.300984 | − | 0.0327347i | ||||
\(92\) | −0.662983 | − | 0.662983i | −0.0691208 | − | 0.0691208i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.85824 | + | 1.65021i | −0.294805 | + | 0.170206i | ||||
\(95\) | 2.81530 | + | 10.8563i | 0.288844 | + | 1.11384i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −8.59970 | + | 8.59970i | −0.873168 | + | 0.873168i | −0.992816 | − | 0.119649i | \(-0.961823\pi\) |
0.119649 | + | 0.992816i | \(0.461823\pi\) | |||||||
\(98\) | 3.22292 | + | 6.21392i | 0.325564 | + | 0.627700i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.42983 | + | 4.36989i | 0.242983 | + | 0.436989i | ||||
\(101\) | 1.56938 | − | 0.906083i | 0.156159 | − | 0.0901586i | −0.419884 | − | 0.907578i | \(-0.637929\pi\) |
0.576043 | + | 0.817419i | \(0.304596\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 19.2321 | − | 5.15322i | 1.89499 | − | 0.507762i | 0.897181 | − | 0.441662i | \(-0.145611\pi\) |
0.997813 | − | 0.0660998i | \(-0.0210556\pi\) | |||||||
\(104\) | −1.09161 | −0.107041 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −7.39128 | −0.717905 | ||||||||
\(107\) | 17.4491 | − | 4.67547i | 1.68687 | − | 0.451995i | 0.717289 | − | 0.696775i | \(-0.245383\pi\) |
0.969579 | + | 0.244781i | \(0.0787159\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −9.74887 | + | 5.62851i | −0.933773 | + | 0.539114i | −0.888003 | − | 0.459838i | \(-0.847907\pi\) |
−0.0457698 | + | 0.998952i | \(0.514574\pi\) | |||||||
\(110\) | −1.45992 | − | 0.0117746i | −0.139198 | − | 0.00112267i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.957071 | − | 2.46658i | −0.0904347 | − | 0.233070i | ||||
\(113\) | −4.19672 | + | 4.19672i | −0.394794 | + | 0.394794i | −0.876392 | − | 0.481598i | \(-0.840056\pi\) |
0.481598 | + | 0.876392i | \(0.340056\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.06288 | + | 1.80714i | −0.0991138 | + | 0.168517i | ||||
\(116\) | −8.48072 | + | 4.89635i | −0.787415 | + | 0.454615i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 4.79636 | + | 4.79636i | 0.441540 | + | 0.441540i | ||||
\(119\) | −3.34820 | − | 4.57356i | −0.306929 | − | 0.419258i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.28685 | + | 9.15709i | −0.480623 | + | 0.832463i | ||||
\(122\) | 2.24569 | − | 8.38103i | 0.203315 | − | 0.758783i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.55472 | − | 0.897620i | −0.139618 | − | 0.0806087i | ||||
\(125\) | 8.09464 | − | 7.71212i | 0.724007 | − | 0.689793i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.928820 | − | 0.928820i | 0.0824195 | − | 0.0824195i | −0.664695 | − | 0.747115i | \(-0.731439\pi\) |
0.747115 | + | 0.664695i | \(0.231439\pi\) | |||||||
\(128\) | 0.258819 | + | 0.965926i | 0.0228766 | + | 0.0853766i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.612720 | + | 2.36276i | 0.0537391 | + | 0.207228i | ||||
\(131\) | 5.19621 | + | 3.00003i | 0.453995 | + | 0.262114i | 0.709516 | − | 0.704689i | \(-0.248914\pi\) |
−0.255521 | + | 0.966804i | \(0.582247\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −12.3716 | + | 4.80037i | −1.07275 | + | 0.416245i | ||||
\(134\) | 6.43263 | 0.555694 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.07118 | + | 1.85534i | 0.0918529 | + | 0.159094i | ||||
\(137\) | −2.99759 | + | 11.1872i | −0.256102 | + | 0.955784i | 0.711373 | + | 0.702815i | \(0.248074\pi\) |
−0.967474 | + | 0.252969i | \(0.918593\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.4380i | 0.885339i | 0.896685 | + | 0.442669i | \(0.145968\pi\) | ||||
−0.896685 | + | 0.442669i | \(0.854032\pi\) | |||||||
\(140\) | −4.80164 | + | 3.45604i | −0.405813 | + | 0.292089i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1.98922 | − | 7.42389i | −0.166932 | − | 0.622999i | ||||
\(143\) | −0.688447 | − | 0.184469i | −0.0575708 | − | 0.0154261i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 15.3582 | + | 15.6080i | 1.27543 | + | 1.29617i | ||||
\(146\) | 9.96871i | 0.825016i | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −4.58614 | − | 4.58614i | −0.376979 | − | 0.376979i | ||||
\(149\) | 2.48624 | − | 4.30630i | 0.203681 | − | 0.352786i | −0.746031 | − | 0.665912i | \(-0.768043\pi\) |
0.949712 | + | 0.313126i | \(0.101376\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 11.1035 | + | 19.2318i | 0.903590 | + | 1.56506i | 0.822799 | + | 0.568332i | \(0.192411\pi\) |
0.0807906 | + | 0.996731i | \(0.474255\pi\) | |||||||
\(152\) | 4.84479 | − | 1.29816i | 0.392964 | − | 0.105294i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.186775 | − | 1.71733i | −0.0150508 | − | 0.138387i | ||||
\(155\) | −1.07021 | + | 3.86899i | −0.0859613 | + | 0.310765i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −8.78399 | − | 2.35366i | −0.701039 | − | 0.187843i | −0.109343 | − | 0.994004i | \(-0.534875\pi\) |
−0.591696 | + | 0.806161i | \(0.701541\pi\) | |||||||
\(158\) | 11.5330 | + | 3.09026i | 0.917516 | + | 0.245848i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.94545 | − | 1.10238i | 0.153801 | − | 0.0871508i | ||||
\(161\) | −2.26982 | − | 1.00078i | −0.178887 | − | 0.0788724i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 14.5143 | − | 3.88909i | 1.13685 | − | 0.304617i | 0.359164 | − | 0.933275i | \(-0.383062\pi\) |
0.777682 | + | 0.628658i | \(0.216395\pi\) | |||||||
\(164\) | −3.95000 | − | 6.84160i | −0.308443 | − | 0.534239i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.592872 | − | 1.02688i | 0.0460158 | − | 0.0797016i | ||||
\(167\) | 16.2008 | + | 16.2008i | 1.25365 | + | 1.25365i | 0.954070 | + | 0.299584i | \(0.0968480\pi\) |
0.299584 | + | 0.954070i | \(0.403152\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 11.8084i | − | 0.908337i | ||||||
\(170\) | 3.41458 | − | 3.35994i | 0.261886 | − | 0.257696i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.0897819 | − | 0.0240570i | −0.00684581 | − | 0.00183433i | ||||
\(173\) | 0.501865 | + | 1.87299i | 0.0381561 | + | 0.142400i | 0.982376 | − | 0.186915i | \(-0.0598488\pi\) |
−0.944220 | + | 0.329315i | \(0.893182\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 10.1757 | + | 8.45315i | 0.769208 | + | 0.638998i | ||||
\(176\) | 0.652918i | 0.0492155i | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −4.47821 | + | 16.7129i | −0.335656 | + | 1.25268i | ||||
\(179\) | 10.9132 | + | 18.9023i | 0.815694 | + | 1.41282i | 0.908829 | + | 0.417170i | \(0.136978\pi\) |
−0.0931349 | + | 0.995653i | \(0.529689\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −10.6095 | −0.788598 | −0.394299 | − | 0.918982i | \(-0.629013\pi\) | ||||
−0.394299 | + | 0.918982i | \(0.629013\pi\) | |||||||
\(182\) | −2.69255 | + | 1.04475i | −0.199585 | + | 0.0774420i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.811985 | + | 0.468800i | 0.0598603 | + | 0.0345604i | ||||
\(185\) | −7.35239 | + | 12.5008i | −0.540558 | + | 0.919076i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.362032 | + | 1.35112i | 0.0264744 | + | 0.0988039i | ||||
\(188\) | 2.33374 | − | 2.33374i | 0.170206 | − | 0.170206i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −5.52920 | − | 9.75776i | −0.401130 | − | 0.707902i | ||||
\(191\) | −0.576196 | − | 0.332667i | −0.0416921 | − | 0.0240709i | 0.479009 | − | 0.877810i | \(-0.340996\pi\) |
−0.520701 | + | 0.853739i | \(0.674329\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 5.41238 | − | 20.1993i | 0.389592 | − | 1.45398i | −0.441208 | − | 0.897405i | \(-0.645450\pi\) |
0.830800 | − | 0.556572i | \(-0.187884\pi\) | |||||||
\(194\) | 6.08091 | − | 10.5324i | 0.436584 | − | 0.756185i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −4.72139 | − | 5.16803i | −0.337242 | − | 0.369145i | ||||
\(197\) | −5.67368 | − | 5.67368i | −0.404233 | − | 0.404233i | 0.475489 | − | 0.879722i | \(-0.342271\pi\) |
−0.879722 | + | 0.475489i | \(0.842271\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 12.6522 | − | 7.30475i | 0.896890 | − | 0.517820i | 0.0207004 | − | 0.999786i | \(-0.493410\pi\) |
0.876190 | + | 0.481966i | \(0.160077\pi\) | |||||||
\(200\) | −3.47805 | − | 3.59210i | −0.245935 | − | 0.254000i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.28139 | + | 1.28139i | −0.0901586 | + | 0.0901586i | ||||
\(203\) | −16.2322 | + | 20.1939i | −1.13928 | + | 1.41733i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −12.5913 | + | 12.3898i | −0.879417 | + | 0.865345i | ||||
\(206\) | −17.2430 | + | 9.95526i | −1.20138 | + | 0.693616i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.05442 | − | 0.282530i | 0.0731106 | − | 0.0195899i | ||||
\(209\) | 3.27484 | 0.226525 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 21.8231 | 1.50237 | 0.751183 | − | 0.660093i | \(-0.229483\pi\) | ||||
0.751183 | + | 0.660093i | \(0.229483\pi\) | |||||||
\(212\) | 7.13943 | − | 1.91300i | 0.490338 | − | 0.131386i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −15.6444 | + | 9.03232i | −1.06943 | + | 0.617436i | ||||
\(215\) | −0.00167623 | + | 0.207834i | −0.000114318 | + | 0.0141741i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.69394 | − | 0.726070i | −0.318645 | − | 0.0492888i | ||||
\(218\) | 7.95992 | − | 7.95992i | 0.539114 | − | 0.539114i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1.41322 | − | 0.366482i | 0.0952795 | − | 0.0247082i | ||||
\(221\) | 2.02531 | − | 1.16931i | 0.136237 | − | 0.0786565i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.35691 | + | 3.35691i | 0.224795 | + | 0.224795i | 0.810514 | − | 0.585719i | \(-0.199188\pi\) |
−0.585719 | + | 0.810514i | \(0.699188\pi\) | |||||||
\(224\) | 1.56286 | + | 2.13482i | 0.104423 | + | 0.142639i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.96753 | − | 5.13991i | 0.197397 | − | 0.341901i | ||||
\(227\) | 5.48385 | − | 20.4660i | 0.363976 | − | 1.35838i | −0.504828 | − | 0.863220i | \(-0.668444\pi\) |
0.868804 | − | 0.495157i | \(-0.164889\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 16.7965 | + | 9.69749i | 1.10995 | + | 0.640828i | 0.938816 | − | 0.344420i | \(-0.111925\pi\) |
0.171131 | + | 0.985248i | \(0.445258\pi\) | |||||||
\(230\) | 0.558938 | − | 2.02066i | 0.0368553 | − | 0.133238i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 6.92448 | − | 6.92448i | 0.454615 | − | 0.454615i | ||||
\(233\) | −1.61958 | − | 6.04437i | −0.106103 | − | 0.395980i | 0.892365 | − | 0.451314i | \(-0.149044\pi\) |
−0.998468 | + | 0.0553336i | \(0.982378\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −6.36125 | − | 3.74140i | −0.414962 | − | 0.244062i | ||||
\(236\) | −5.87431 | − | 3.39154i | −0.382385 | − | 0.220770i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 4.41784 | + | 3.55114i | 0.286366 | + | 0.230186i | ||||
\(239\) | −19.7847 | −1.27976 | −0.639882 | − | 0.768473i | \(-0.721017\pi\) | ||||
−0.639882 | + | 0.768473i | \(0.721017\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.50878 | − | 2.61328i | −0.0971890 | − | 0.168336i | 0.813331 | − | 0.581801i | \(-0.197652\pi\) |
−0.910520 | + | 0.413465i | \(0.864318\pi\) | |||||||
\(242\) | 2.73667 | − | 10.2134i | 0.175920 | − | 0.656543i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 8.67668i | 0.555467i | ||||||||
\(245\) | −8.53595 | + | 13.1201i | −0.545342 | + | 0.838214i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.41708 | − | 5.28863i | −0.0901668 | − | 0.336507i | ||||
\(248\) | 1.73407 | + | 0.464642i | 0.110113 | + | 0.0295048i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −5.82278 | + | 9.54438i | −0.368265 | + | 0.603640i | ||||
\(251\) | − | 22.4148i | − | 1.41481i | −0.706809 | − | 0.707404i | \(-0.749866\pi\) | ||
0.706809 | − | 0.707404i | \(-0.250134\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.432874 | + | 0.432874i | 0.0272145 | + | 0.0272145i | ||||
\(254\) | −0.656775 | + | 1.13757i | −0.0412097 | + | 0.0713774i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −11.1504 | + | 2.98775i | −0.695545 | + | 0.186371i | −0.589234 | − | 0.807962i | \(-0.700570\pi\) |
−0.106310 | + | 0.994333i | \(0.533904\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −15.7014 | − | 6.92282i | −0.975635 | − | 0.430163i | ||||
\(260\) | −1.20337 | − | 2.12367i | −0.0746299 | − | 0.131705i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −5.79562 | − | 1.55293i | −0.358055 | − | 0.0959404i | ||||
\(263\) | 10.8021 | + | 2.89442i | 0.666088 | + | 0.178478i | 0.575992 | − | 0.817455i | \(-0.304616\pi\) |
0.0900962 | + | 0.995933i | \(0.471283\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −8.14800 | − | 14.3793i | −0.500528 | − | 0.883315i | ||||
\(266\) | 10.7076 | − | 7.83881i | 0.656526 | − | 0.480628i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −6.21344 | + | 1.66489i | −0.379546 | + | 0.101699i | ||||
\(269\) | −2.72319 | − | 4.71670i | −0.166036 | − | 0.287583i | 0.770987 | − | 0.636851i | \(-0.219763\pi\) |
−0.937023 | + | 0.349269i | \(0.886430\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 10.6364 | − | 18.4227i | 0.646113 | − | 1.11910i | −0.337930 | − | 0.941171i | \(-0.609727\pi\) |
0.984043 | − | 0.177929i | \(-0.0569398\pi\) | |||||||
\(272\) | −1.51488 | − | 1.51488i | −0.0918529 | − | 0.0918529i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | − | 11.5818i | − | 0.699682i | ||||||
\(275\) | −1.58648 | − | 2.85318i | −0.0956684 | − | 0.172053i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −17.3601 | − | 4.65162i | −1.04307 | − | 0.279489i | −0.303683 | − | 0.952773i | \(-0.598216\pi\) |
−0.739384 | + | 0.673284i | \(0.764883\pi\) | |||||||
\(278\) | −2.70155 | − | 10.0823i | −0.162028 | − | 0.604698i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 3.74354 | − | 4.58104i | 0.223719 | − | 0.273769i | ||||
\(281\) | − | 19.1920i | − | 1.14490i | −0.819939 | − | 0.572450i | \(-0.805993\pi\) | ||
0.819939 | − | 0.572450i | \(-0.194007\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 5.59020 | − | 20.8629i | 0.332303 | − | 1.24017i | −0.574460 | − | 0.818532i | \(-0.694788\pi\) |
0.906764 | − | 0.421640i | \(-0.138545\pi\) | |||||||
\(284\) | 3.84289 | + | 6.65608i | 0.228033 | + | 0.394965i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.712733 | 0.0421448 | ||||||||
\(287\) | −16.2909 | − | 13.0949i | −0.961621 | − | 0.772969i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 10.7476 | + | 6.20515i | 0.632214 | + | 0.365009i | ||||
\(290\) | −18.8746 | − | 11.1012i | −1.10835 | − | 0.651882i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −2.58009 | − | 9.62903i | −0.150988 | − | 0.563497i | ||||
\(293\) | −10.1225 | + | 10.1225i | −0.591361 | + | 0.591361i | −0.937999 | − | 0.346638i | \(-0.887323\pi\) |
0.346638 | + | 0.937999i | \(0.387323\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −4.04364 | + | 14.6185i | −0.235430 | + | 0.851120i | ||||
\(296\) | 5.61685 | + | 3.24289i | 0.326473 | + | 0.188489i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.28697 | + | 4.80305i | −0.0745524 | + | 0.278233i | ||||
\(299\) | 0.511747 | − | 0.886373i | 0.0295951 | − | 0.0512603i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.244478 | + | 0.0265892i | −0.0140915 | + | 0.00153258i | ||||
\(302\) | −15.7027 | − | 15.7027i | −0.903590 | − | 0.903590i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −4.34372 | + | 2.50785i | −0.249129 | + | 0.143835i | ||||
\(305\) | 18.7804 | − | 4.87021i | 1.07536 | − | 0.278867i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 17.6475 | − | 17.6475i | 1.00720 | − | 1.00720i | 0.00722381 | − | 0.999974i | \(-0.497701\pi\) |
0.999974 | − | 0.00722381i | \(-0.00229943\pi\) | |||||||
\(308\) | 0.624889 | + | 1.61047i | 0.0356064 | + | 0.0917653i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.0323751 | − | 4.01415i | 0.00183878 | − | 0.227988i | ||||
\(311\) | 6.02853 | − | 3.48057i | 0.341847 | − | 0.197365i | −0.319242 | − | 0.947673i | \(-0.603428\pi\) |
0.661088 | + | 0.750308i | \(0.270095\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.48293 | + | 1.20120i | −0.253390 | + | 0.0678957i | −0.383278 | − | 0.923633i | \(-0.625205\pi\) |
0.129888 | + | 0.991529i | \(0.458538\pi\) | |||||||
\(314\) | 9.09385 | 0.513196 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −11.9398 | −0.671668 | ||||||||
\(317\) | −27.9311 | + | 7.48412i | −1.56877 | + | 0.420350i | −0.935426 | − | 0.353523i | \(-0.884984\pi\) |
−0.633341 | + | 0.773873i | \(0.718317\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 5.53722 | − | 3.19691i | 0.310025 | − | 0.178993i | ||||
\(320\) | −1.59384 | + | 1.56834i | −0.0890983 | + | 0.0876726i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 2.45150 | + | 0.379204i | 0.136617 | + | 0.0211322i | ||||
\(323\) | −7.59816 | + | 7.59816i | −0.422773 | + | 0.422773i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3.92118 | + | 3.79668i | −0.217508 | + | 0.210602i | ||||
\(326\) | −13.0131 | + | 7.51314i | −0.720731 | + | 0.416115i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 5.58614 | + | 5.58614i | 0.308443 | + | 0.308443i | ||||
\(329\) | 3.52280 | − | 7.98992i | 0.194218 | − | 0.440499i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.41664 | + | 9.38189i | −0.297725 | + | 0.515675i | −0.975615 | − | 0.219488i | \(-0.929561\pi\) |
0.677890 | + | 0.735163i | \(0.262895\pi\) | |||||||
\(332\) | −0.306893 | + | 1.14534i | −0.0168429 | + | 0.0628587i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −19.8418 | − | 11.4557i | −1.08570 | − | 0.626827i | ||||
\(335\) | 7.09120 | + | 12.5143i | 0.387434 | + | 0.683731i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 13.8548 | − | 13.8548i | 0.754716 | − | 0.754716i | −0.220639 | − | 0.975356i | \(-0.570814\pi\) |
0.975356 | + | 0.220639i | \(0.0708143\pi\) | |||||||
\(338\) | 3.05623 | + | 11.4060i | 0.166237 | + | 0.620406i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −2.42861 | + | 4.12921i | −0.131710 | + | 0.223938i | ||||
\(341\) | 1.01511 | + | 0.586072i | 0.0549711 | + | 0.0317376i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −16.5918 | − | 8.22865i | −0.895875 | − | 0.444305i | ||||
\(344\) | 0.0929491 | 0.00501148 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.969529 | − | 1.67927i | −0.0521222 | − | 0.0902783i | ||||
\(347\) | −5.96588 | + | 22.2650i | −0.320265 | + | 1.19525i | 0.598721 | + | 0.800958i | \(0.295676\pi\) |
−0.918986 | + | 0.394289i | \(0.870991\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 12.6496i | 0.677115i | 0.940946 | + | 0.338558i | \(0.109939\pi\) | ||||
−0.940946 | + | 0.338558i | \(0.890061\pi\) | |||||||
\(350\) | −12.0168 | − | 5.53146i | −0.642324 | − | 0.295669i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.168988 | − | 0.630670i | −0.00900707 | − | 0.0336148i | ||||
\(353\) | 29.3409 | + | 7.86188i | 1.56166 | + | 0.418445i | 0.933188 | − | 0.359388i | \(-0.117014\pi\) |
0.628471 | + | 0.777833i | \(0.283681\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 12.2499 | − | 12.0539i | 0.650157 | − | 0.639753i | ||||
\(356\) | − | 17.3025i | − | 0.917028i | ||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −15.4337 | − | 15.4337i | −0.815694 | − | 0.815694i | ||||
\(359\) | −4.14969 | + | 7.18748i | −0.219012 | + | 0.379341i | −0.954506 | − | 0.298191i | \(-0.903617\pi\) |
0.735494 | + | 0.677531i | \(0.236950\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3.07858 | + | 5.33226i | 0.162031 | + | 0.280645i | ||||
\(362\) | 10.2480 | − | 2.74594i | 0.538622 | − | 0.144323i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 2.33040 | − | 1.70603i | 0.122146 | − | 0.0894205i | ||||
\(365\) | −19.3936 | + | 10.9893i | −1.01511 | + | 0.575207i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 18.5262 | + | 4.96408i | 0.967059 | + | 0.259123i | 0.707586 | − | 0.706627i | \(-0.249784\pi\) |
0.259474 | + | 0.965750i | \(0.416451\pi\) | |||||||
\(368\) | −0.905652 | − | 0.242669i | −0.0472104 | − | 0.0126500i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 3.86642 | − | 13.9778i | 0.201006 | − | 0.726669i | ||||
\(371\) | 15.7791 | − | 11.5515i | 0.819209 | − | 0.599725i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 1.60868 | − | 0.431045i | 0.0832944 | − | 0.0223187i | −0.216931 | − | 0.976187i | \(-0.569605\pi\) |
0.300226 | + | 0.953868i | \(0.402938\pi\) | |||||||
\(374\) | −0.699392 | − | 1.21138i | −0.0361647 | − | 0.0626391i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.65021 | + | 2.85824i | −0.0851028 | + | 0.147402i | ||||
\(377\) | −7.55885 | − | 7.55885i | −0.389300 | − | 0.389300i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 11.3712i | 0.584098i | 0.956403 | + | 0.292049i | \(0.0943370\pi\) | ||||
−0.956403 | + | 0.292049i | \(0.905663\pi\) | |||||||
\(380\) | 7.86629 | + | 7.99421i | 0.403532 | + | 0.410094i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0.642663 | + | 0.172201i | 0.0328815 | + | 0.00881058i | ||||
\(383\) | −5.06539 | − | 18.9043i | −0.258829 | − | 0.965964i | −0.965920 | − | 0.258841i | \(-0.916659\pi\) |
0.707091 | − | 0.707123i | \(-0.250007\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 3.13508 | − | 2.25651i | 0.159778 | − | 0.115003i | ||||
\(386\) | 20.9118i | 1.06438i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3.14771 | + | 11.7474i | −0.159801 | + | 0.596385i | ||||
\(389\) | −6.66518 | − | 11.5444i | −0.337938 | − | 0.585326i | 0.646107 | − | 0.763247i | \(-0.276396\pi\) |
−0.984045 | + | 0.177921i | \(0.943063\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2.00868 | −0.101583 | ||||||||
\(392\) | 5.89809 | + | 3.76995i | 0.297899 | + | 0.190411i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 6.94881 | + | 4.01190i | 0.350076 | + | 0.202117i | ||||
\(395\) | 6.70181 | + | 25.8434i | 0.337205 | + | 1.30033i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 3.59227 | + | 13.4065i | 0.180291 | + | 0.672854i | 0.995590 | + | 0.0938140i | \(0.0299059\pi\) |
−0.815299 | + | 0.579040i | \(0.803427\pi\) | |||||||
\(398\) | −10.3305 | + | 10.3305i | −0.517820 | + | 0.517820i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 4.28924 | + | 2.56952i | 0.214462 | + | 0.128476i | ||||
\(401\) | −19.4231 | − | 11.2139i | −0.969941 | − | 0.559996i | −0.0707229 | − | 0.997496i | \(-0.522531\pi\) |
−0.899218 | + | 0.437500i | \(0.855864\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.507209 | − | 1.89293i | 0.0252659 | − | 0.0942936i | ||||
\(404\) | 0.906083 | − | 1.56938i | 0.0450793 | − | 0.0780796i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 10.4526 | − | 23.7070i | 0.518752 | − | 1.17656i | ||||
\(407\) | 2.99437 | + | 2.99437i | 0.148426 | + | 0.148426i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 31.7438 | − | 18.3273i | 1.56963 | − | 0.906225i | 0.573417 | − | 0.819264i | \(-0.305618\pi\) |
0.996212 | − | 0.0869614i | \(-0.0277157\pi\) | |||||||
\(410\) | 8.95556 | − | 15.2266i | 0.442284 | − | 0.751986i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 14.0789 | − | 14.0789i | 0.693616 | − | 0.693616i | ||||
\(413\) | −17.7354 | − | 2.74336i | −0.872702 | − | 0.134992i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.65132 | + | 0.0213835i | 0.130148 | + | 0.00104968i | ||||
\(416\) | −0.945363 | + | 0.545806i | −0.0463503 | + | 0.0267603i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −3.16325 | + | 0.847590i | −0.154720 | + | 0.0414570i | ||||
\(419\) | 5.74367 | 0.280597 | 0.140298 | − | 0.990109i | \(-0.455194\pi\) | ||||
0.140298 | + | 0.990109i | \(0.455194\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 24.6051 | 1.19918 | 0.599589 | − | 0.800308i | \(-0.295331\pi\) | ||||
0.599589 | + | 0.800308i | \(0.295331\pi\) | |||||||
\(422\) | −21.0795 | + | 5.64824i | −1.02614 | + | 0.274952i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −6.40104 | + | 3.69564i | −0.310862 | + | 0.179476i | ||||
\(425\) | 10.3007 | + | 2.93894i | 0.499659 | + | 0.142560i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 8.30420 | + | 21.4017i | 0.401868 | + | 1.03570i | ||||
\(428\) | 12.7736 | − | 12.7736i | 0.617436 | − | 0.617436i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.0521722 | − | 0.201186i | −0.00251597 | − | 0.00970204i | ||||
\(431\) | 2.17816 | − | 1.25756i | 0.104918 | − | 0.0605745i | −0.446623 | − | 0.894722i | \(-0.647373\pi\) |
0.551541 | + | 0.834148i | \(0.314040\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.77846 | − | 2.77846i | −0.133524 | − | 0.133524i | 0.637186 | − | 0.770710i | \(-0.280098\pi\) |
−0.770710 | + | 0.637186i | \(0.780098\pi\) | |||||||
\(434\) | 4.72191 | − | 0.513550i | 0.226659 | − | 0.0246512i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −5.62851 | + | 9.74887i | −0.269557 | + | 0.466886i | ||||
\(437\) | −1.21715 | + | 4.54247i | −0.0582242 | + | 0.217296i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −24.2061 | − | 13.9754i | −1.15529 | − | 0.667008i | −0.205121 | − | 0.978737i | \(-0.565759\pi\) |
−0.950171 | + | 0.311729i | \(0.899092\pi\) | |||||||
\(440\) | −1.27022 | + | 0.719764i | −0.0605552 | + | 0.0343134i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −1.65366 | + | 1.65366i | −0.0786565 | + | 0.0786565i | ||||
\(443\) | −6.07594 | − | 22.6757i | −0.288676 | − | 1.07735i | −0.946111 | − | 0.323843i | \(-0.895025\pi\) |
0.657434 | − | 0.753512i | \(-0.271642\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −37.4507 | + | 9.71185i | −1.77533 | + | 0.460386i | ||||
\(446\) | −4.11136 | − | 2.37370i | −0.194679 | − | 0.112398i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2.06214 | − | 1.65758i | −0.0974269 | − | 0.0783135i | ||||
\(449\) | −6.06770 | −0.286353 | −0.143176 | − | 0.989697i | \(-0.545732\pi\) | ||||
−0.143176 | + | 0.989697i | \(0.545732\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.57903 | + | 4.46700i | 0.121442 | + | 0.210343i | ||||
\(452\) | −1.53610 | + | 5.73282i | −0.0722523 | + | 0.269649i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 21.1880i | 0.994401i | ||||||||
\(455\) | −5.00071 | − | 4.08649i | −0.234437 | − | 0.191578i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.44741 | + | 5.40182i | 0.0677072 | + | 0.252687i | 0.991481 | − | 0.130252i | \(-0.0415787\pi\) |
−0.923774 | + | 0.382939i | \(0.874912\pi\) | |||||||
\(458\) | −18.7341 | − | 5.01979i | −0.875387 | − | 0.234559i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.0169086 | + | 2.09647i | −0.000788365 | + | 0.0977484i | ||||
\(461\) | − | 14.6330i | − | 0.681528i | −0.940149 | − | 0.340764i | \(-0.889314\pi\) | ||
0.940149 | − | 0.340764i | \(-0.110686\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 19.8899 | + | 19.8899i | 0.924361 | + | 0.924361i | 0.997334 | − | 0.0729729i | \(-0.0232487\pi\) |
−0.0729729 | + | 0.997334i | \(0.523249\pi\) | |||||||
\(464\) | −4.89635 | + | 8.48072i | −0.227307 | + | 0.393708i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 3.12880 | + | 5.41924i | 0.144939 | + | 0.251041i | ||||
\(467\) | −4.39462 | + | 1.17753i | −0.203359 | + | 0.0544898i | −0.359060 | − | 0.933314i | \(-0.616903\pi\) |
0.155702 | + | 0.987804i | \(0.450236\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −13.7325 | + | 10.0533i | −0.634109 | + | 0.464217i | ||||
\(470\) | 7.11284 | + | 1.96750i | 0.328091 | + | 0.0907539i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 6.55195 | + | 1.75559i | 0.301578 | + | 0.0808075i | ||||
\(473\) | 0.0586202 | + | 0.0157072i | 0.00269536 | + | 0.000722220i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 12.8879 | − | 21.5135i | 0.591338 | − | 0.987107i | ||||
\(476\) | −5.18641 | − | 2.28672i | −0.237719 | − | 0.104812i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 19.1105 | − | 5.12065i | 0.874095 | − | 0.234213i | ||||
\(479\) | 2.21585 | + | 3.83796i | 0.101245 | + | 0.175361i | 0.912198 | − | 0.409750i | \(-0.134384\pi\) |
−0.810953 | + | 0.585111i | \(0.801051\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 3.53998 | − | 6.13142i | 0.161409 | − | 0.279569i | ||||
\(482\) | 2.13374 | + | 2.13374i | 0.0971890 | + | 0.0971890i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 10.5737i | 0.480623i | ||||||||
\(485\) | 27.1938 | + | 0.219325i | 1.23481 | + | 0.00995902i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −12.0493 | − | 3.22861i | −0.546007 | − | 0.146302i | −0.0247373 | − | 0.999694i | \(-0.507875\pi\) |
−0.521270 | + | 0.853392i | \(0.674542\pi\) | |||||||
\(488\) | −2.24569 | − | 8.38103i | −0.101658 | − | 0.379391i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 4.84936 | − | 14.8823i | 0.219072 | − | 0.672315i | ||||
\(491\) | 26.2419i | 1.18428i | 0.805836 | + | 0.592139i | \(0.201716\pi\) | ||||
−0.805836 | + | 0.592139i | \(0.798284\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −5.42989 | + | 20.2646i | −0.244550 | + | 0.912673i | ||||
\(494\) | 2.73759 | + | 4.74165i | 0.123170 | + | 0.213337i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.79524 | −0.0806087 | ||||||||
\(497\) | 15.8491 | + | 12.7398i | 0.710930 | + | 0.571459i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 8.84482 | + | 5.10656i | 0.395949 | + | 0.228601i | 0.684734 | − | 0.728793i | \(-0.259918\pi\) |
−0.288786 | + | 0.957394i | \(0.593252\pi\) | |||||||
\(500\) | 3.15411 | − | 10.7262i | 0.141056 | − | 0.479691i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 5.80137 | + | 21.6510i | 0.258928 | + | 0.966332i | ||||
\(503\) | −18.7420 | + | 18.7420i | −0.835664 | + | 0.835664i | −0.988285 | − | 0.152621i | \(-0.951229\pi\) |
0.152621 | + | 0.988285i | \(0.451229\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3.90547 | − | 1.08030i | −0.173791 | − | 0.0480727i | ||||
\(506\) | −0.530160 | − | 0.306088i | −0.0235685 | − | 0.0136073i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0.339972 | − | 1.26879i | 0.0150838 | − | 0.0562935i | ||||
\(509\) | 14.8511 | − | 25.7228i | 0.658262 | − | 1.14014i | −0.322804 | − | 0.946466i | \(-0.604625\pi\) |
0.981065 | − | 0.193677i | \(-0.0620413\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −15.5797 | − | 21.2814i | −0.689204 | − | 0.941436i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 9.99720 | − | 5.77189i | 0.440958 | − | 0.254587i | ||||
\(515\) | −38.3758 | − | 22.5709i | −1.69104 | − | 0.994592i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.52374 | + | 1.52374i | −0.0670141 | + | 0.0670141i | ||||
\(518\) | 16.9581 | + | 2.62312i | 0.745096 | + | 0.115253i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 1.71201 | + | 1.73985i | 0.0750768 | + | 0.0762976i | ||||
\(521\) | −7.25859 | + | 4.19075i | −0.318005 | + | 0.183600i | −0.650503 | − | 0.759504i | \(-0.725442\pi\) |
0.332498 | + | 0.943104i | \(0.392108\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −36.6515 | + | 9.82073i | −1.60266 | + | 0.429430i | −0.945843 | − | 0.324623i | \(-0.894762\pi\) |
−0.656813 | + | 0.754054i | \(0.728096\pi\) | |||||||
\(524\) | 6.00007 | 0.262114 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −11.1832 | −0.487610 | ||||||||
\(527\) | −3.71500 | + | 0.995431i | −0.161828 | + | 0.0433617i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 19.1573 | − | 11.0605i | 0.832925 | − | 0.480889i | ||||
\(530\) | 11.5920 | + | 11.7805i | 0.503525 | + | 0.511713i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −8.31393 | + | 10.3430i | −0.360455 | + | 0.448428i | ||||
\(533\) | 6.09790 | − | 6.09790i | 0.264129 | − | 0.264129i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −34.8180 | − | 20.4783i | −1.50531 | − | 0.885356i | ||||
\(536\) | 5.57082 | − | 3.21631i | 0.240623 | − | 0.138924i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 3.85117 | + | 3.85117i | 0.166036 | + | 0.166036i | ||||
\(539\) | 3.08268 | + | 3.37430i | 0.132780 | + | 0.145341i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2.55510 | + | 4.42556i | −0.109852 | + | 0.190270i | −0.915710 | − | 0.401839i | \(-0.868371\pi\) |
0.805858 | + | 0.592109i | \(0.201704\pi\) | |||||||
\(542\) | −5.50578 | + | 20.5479i | −0.236494 | + | 0.882607i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1.85534 | + | 1.07118i | 0.0795469 | + | 0.0459265i | ||||
\(545\) | 24.2604 | + | 6.71074i | 1.03920 | + | 0.287456i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −20.5460 | + | 20.5460i | −0.878484 | + | 0.878484i | −0.993378 | − | 0.114894i | \(-0.963347\pi\) |
0.114894 | + | 0.993378i | \(0.463347\pi\) | |||||||
\(548\) | 2.99759 | + | 11.1872i | 0.128051 | + | 0.477892i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.27088 | + | 2.34535i | 0.0968306 | + | 0.100006i | ||||
\(551\) | 42.5367 | + | 24.5586i | 1.81212 | + | 1.04623i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −29.4505 | + | 11.4273i | −1.25236 | + | 0.485937i | ||||
\(554\) | 17.9725 | 0.763578 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 5.21899 | + | 9.03956i | 0.221335 | + | 0.383363i | ||||
\(557\) | 9.01371 | − | 33.6396i | 0.381923 | − | 1.42536i | −0.461037 | − | 0.887381i | \(-0.652522\pi\) |
0.842960 | − | 0.537976i | \(-0.180811\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 0.101464i | − | 0.00429148i | ||||||
\(560\) | −2.43032 | + | 5.39384i | −0.102700 | + | 0.227931i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 4.96726 | + | 18.5381i | 0.209531 | + | 0.781982i | ||||
\(563\) | 7.58528 | + | 2.03247i | 0.319681 | + | 0.0856584i | 0.415091 | − | 0.909780i | \(-0.363750\pi\) |
−0.0954101 | + | 0.995438i | \(0.530416\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 13.2707 | + | 0.107032i | 0.558305 | + | 0.00450287i | ||||
\(566\) | 21.5989i | 0.907869i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −5.43466 | − | 5.43466i | −0.228033 | − | 0.228033i | ||||
\(569\) | −10.0967 | + | 17.4880i | −0.423277 | + | 0.733137i | −0.996258 | − | 0.0864319i | \(-0.972454\pi\) |
0.572981 | + | 0.819569i | \(0.305787\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 11.0336 | + | 19.1107i | 0.461741 | + | 0.799760i | 0.999048 | − | 0.0436275i | \(-0.0138915\pi\) |
−0.537306 | + | 0.843387i | \(0.680558\pi\) | |||||||
\(572\) | −0.688447 | + | 0.184469i | −0.0287854 | + | 0.00771303i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 19.1250 | + | 8.43233i | 0.798262 | + | 0.351959i | ||||
\(575\) | 4.54724 | − | 1.14015i | 0.189633 | − | 0.0475474i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 24.6763 | + | 6.61199i | 1.02729 | + | 0.275261i | 0.732836 | − | 0.680406i | \(-0.238196\pi\) |
0.294451 | + | 0.955666i | \(0.404863\pi\) | |||||||
\(578\) | −11.9874 | − | 3.21202i | −0.498611 | − | 0.133602i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 21.1046 | + | 5.83779i | 0.876321 | + | 0.242401i | ||||
\(581\) | 0.339196 | + | 3.11879i | 0.0140722 | + | 0.129389i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.66146 | + | 1.24903i | −0.193058 | + | 0.0517297i | ||||
\(584\) | 4.98435 | + | 8.63316i | 0.206254 | + | 0.357243i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 7.15766 | − | 12.3974i | 0.295680 | − | 0.512133i | ||||
\(587\) | 29.2059 | + | 29.2059i | 1.20546 | + | 1.20546i | 0.972483 | + | 0.232975i | \(0.0748460\pi\) |
0.232975 | + | 0.972483i | \(0.425154\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 9.00437i | 0.371019i | ||||||||
\(590\) | 0.122325 | − | 15.1669i | 0.00503604 | − | 0.624412i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −6.26479 | − | 1.67864i | −0.257481 | − | 0.0689919i | ||||
\(593\) | 2.53626 | + | 9.46544i | 0.104152 | + | 0.388699i | 0.998248 | − | 0.0591765i | \(-0.0188475\pi\) |
−0.894096 | + | 0.447875i | \(0.852181\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2.03842 | + | 12.5094i | −0.0835669 | + | 0.512834i | ||||
\(596\) | − | 4.97249i | − | 0.203681i | ||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.264900 | + | 0.988620i | −0.0108326 | + | 0.0404277i | ||||
\(599\) | 8.90006 | + | 15.4154i | 0.363647 | + | 0.629854i | 0.988558 | − | 0.150841i | \(-0.0481982\pi\) |
−0.624911 | + | 0.780696i | \(0.714865\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −22.8923 | −0.933798 | −0.466899 | − | 0.884311i | \(-0.654629\pi\) | ||||
−0.466899 | + | 0.884311i | \(0.654629\pi\) | |||||||
\(602\) | 0.229266 | − | 0.0889589i | 0.00934419 | − | 0.00362569i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 19.2318 | + | 11.1035i | 0.782532 | + | 0.451795i | ||||
\(605\) | 22.8865 | − | 5.93500i | 0.930468 | − | 0.241292i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −3.12100 | − | 11.6477i | −0.126677 | − | 0.472767i | 0.873216 | − | 0.487333i | \(-0.162030\pi\) |
−0.999894 | + | 0.0145659i | \(0.995363\pi\) | |||||||
\(608\) | 3.54663 | − | 3.54663i | 0.143835 | − | 0.143835i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −16.8800 | + | 9.56500i | −0.683452 | + | 0.387275i | ||||
\(611\) | 3.12009 | + | 1.80138i | 0.126225 | + | 0.0728762i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1.55416 | + | 5.80020i | −0.0627719 | + | 0.234268i | −0.990183 | − | 0.139775i | \(-0.955362\pi\) |
0.927411 | + | 0.374043i | \(0.122029\pi\) | |||||||
\(614\) | −12.4787 | + | 21.6137i | −0.503599 | + | 0.872259i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1.02042 | − | 1.39387i | −0.0411138 | − | 0.0561604i | ||||
\(617\) | 29.7410 | + | 29.7410i | 1.19733 | + | 1.19733i | 0.974964 | + | 0.222361i | \(0.0713765\pi\) |
0.222361 | + | 0.974964i | \(0.428624\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −1.14774 | + | 0.662650i | −0.0461317 | + | 0.0266341i | −0.522888 | − | 0.852401i | \(-0.675146\pi\) |
0.476757 | + | 0.879035i | \(0.341812\pi\) | |||||||
\(620\) | 1.00767 | + | 3.88575i | 0.0404688 | + | 0.156055i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −4.92227 | + | 4.92227i | −0.197365 | + | 0.197365i | ||||
\(623\) | −16.5597 | − | 42.6779i | −0.663450 | − | 1.70985i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −24.9870 | − | 0.806368i | −0.999480 | − | 0.0322547i | ||||
\(626\) | 4.01929 | − | 2.32054i | 0.160643 | − | 0.0927473i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −8.78399 | + | 2.35366i | −0.350519 | + | 0.0939214i | ||||
\(629\) | −13.8949 | −0.554025 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −12.2808 | −0.488892 | −0.244446 | − | 0.969663i | \(-0.578606\pi\) | ||||
−0.244446 | + | 0.969663i | \(0.578606\pi\) | |||||||
\(632\) | 11.5330 | − | 3.09026i | 0.458758 | − | 0.122924i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 25.0423 | − | 14.4582i | 0.994558 | − | 0.574209i | ||||
\(635\) | −2.93709 | − | 0.0236884i | −0.116555 | − | 0.000940045i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 4.11532 | − | 6.43843i | 0.163055 | − | 0.255100i | ||||
\(638\) | −4.52112 | + | 4.52112i | −0.178993 | + | 0.178993i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1.13362 | − | 1.92741i | 0.0448101 | − | 0.0761876i | ||||
\(641\) | −0.0942649 | + | 0.0544239i | −0.00372324 | + | 0.00214961i | −0.501860 | − | 0.864949i | \(-0.667351\pi\) |
0.498137 | + | 0.867098i | \(0.334018\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −4.92268 | − | 4.92268i | −0.194132 | − | 0.194132i | 0.603347 | − | 0.797479i | \(-0.293833\pi\) |
−0.797479 | + | 0.603347i | \(0.793833\pi\) | |||||||
\(644\) | −2.46611 | + | 0.268212i | −0.0971785 | + | 0.0105690i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 5.37271 | − | 9.30580i | 0.211386 | − | 0.366132i | ||||
\(647\) | 8.01312 | − | 29.9054i | 0.315028 | − | 1.17570i | −0.608935 | − | 0.793220i | \(-0.708403\pi\) |
0.923963 | − | 0.382481i | \(-0.124930\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.83545 | + | 2.21440i | 0.150554 | + | 0.0869226i | ||||
\(650\) | 2.80492 | − | 4.68218i | 0.110018 | − | 0.183650i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 10.6252 | − | 10.6252i | 0.416115 | − | 0.416115i | ||||
\(653\) | −8.33630 | − | 31.1115i | −0.326224 | − | 1.21749i | −0.913075 | − | 0.407791i | \(-0.866299\pi\) |
0.586851 | − | 0.809695i | \(-0.300368\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −3.36783 | − | 12.9870i | −0.131592 | − | 0.507444i | ||||
\(656\) | −6.84160 | − | 3.95000i | −0.267120 | − | 0.154222i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −1.33482 | + | 8.62944i | −0.0520368 | + | 0.336411i | ||||
\(659\) | 10.4880 | 0.408556 | 0.204278 | − | 0.978913i | \(-0.434515\pi\) | ||||
0.204278 | + | 0.978913i | \(0.434515\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −12.9829 | − | 22.4870i | −0.504975 | − | 0.874643i | −0.999983 | − | 0.00575465i | \(-0.998168\pi\) |
0.495008 | − | 0.868888i | \(-0.335165\pi\) | |||||||
\(662\) | 2.80386 | − | 10.4641i | 0.108975 | − | 0.406700i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | − | 1.18574i | − | 0.0460158i | ||||||
\(665\) | 27.0538 | + | 12.1897i | 1.04910 | + | 0.472698i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 2.37638 | + | 8.86877i | 0.0920138 | + | 0.343400i | ||||
\(668\) | 22.1307 | + | 5.92990i | 0.856262 | + | 0.229435i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −10.0885 | − | 10.2526i | −0.389753 | − | 0.396091i | ||||
\(671\) | − | 5.66516i | − | 0.218701i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −10.2926 | − | 10.2926i | −0.396752 | − | 0.396752i | 0.480334 | − | 0.877086i | \(-0.340516\pi\) |
−0.877086 | + | 0.480334i | \(0.840516\pi\) | |||||||
\(674\) | −9.79679 | + | 16.9685i | −0.377358 | + | 0.653604i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −5.90419 | − | 10.2264i | −0.227084 | − | 0.393322i | ||||
\(677\) | −34.6310 | + | 9.27935i | −1.33098 | + | 0.356634i | −0.853080 | − | 0.521781i | \(-0.825268\pi\) |
−0.477898 | + | 0.878415i | \(0.658601\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 3.47904 | + | 31.9885i | 0.133513 | + | 1.22761i | ||||
\(680\) | 1.27714 | − | 4.61708i | 0.0489761 | − | 0.177057i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −1.13220 | − | 0.303373i | −0.0433544 | − | 0.0116168i | ||||
\(683\) | −14.5162 | − | 3.88960i | −0.555447 | − | 0.148831i | −0.0298330 | − | 0.999555i | \(-0.509498\pi\) |
−0.525614 | + | 0.850723i | \(0.676164\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 22.5318 | − | 12.7675i | 0.860895 | − | 0.487823i | ||||
\(686\) | 18.1562 | + | 3.65398i | 0.693208 | + | 0.139510i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.0897819 | + | 0.0240570i | −0.00342290 | + | 0.000917164i | ||||
\(689\) | 4.03420 | + | 6.98745i | 0.153691 | + | 0.266200i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 9.47524 | − | 16.4116i | 0.360455 | − | 0.624327i | −0.627581 | − | 0.778552i | \(-0.715955\pi\) |
0.988036 | + | 0.154225i | \(0.0492880\pi\) | |||||||
\(692\) | 1.37112 | + | 1.37112i | 0.0521222 | + | 0.0521222i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 23.0504i | − | 0.874981i | ||||||
\(695\) | 16.6365 | − | 16.3703i | 0.631057 | − | 0.620960i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −16.3479 | − | 4.38042i | −0.619223 | − | 0.165920i | ||||
\(698\) | −3.27395 | − | 12.2185i | −0.123921 | − | 0.462478i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 13.0390 | + | 2.23281i | 0.492826 | + | 0.0843923i | ||||
\(701\) | 23.9293i | 0.903798i | 0.892069 | + | 0.451899i | \(0.149253\pi\) | ||||
−0.892069 | + | 0.451899i | \(0.850747\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −8.41956 | + | 31.4222i | −0.317550 | + | 1.18511i | ||||
\(704\) | 0.326459 | + | 0.565444i | 0.0123039 | + | 0.0213110i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −30.3760 | −1.14321 | ||||||||
\(707\) | 0.732915 | − | 4.73819i | 0.0275641 | − | 0.178198i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.87883 | − | 1.08474i | −0.0705608 | − | 0.0407383i | 0.464305 | − | 0.885676i | \(-0.346304\pi\) |
−0.534865 | + | 0.844937i | \(0.679638\pi\) | |||||||
\(710\) | −8.71271 | + | 14.8137i | −0.326982 | + | 0.555946i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 4.47821 | + | 16.7129i | 0.167828 | + | 0.626342i | ||||
\(713\) | −1.19021 | + | 1.19021i | −0.0445739 | + | 0.0445739i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.785702 | + | 1.38658i | 0.0293836 | + | 0.0518553i | ||||
\(716\) | 18.9023 | + | 10.9132i | 0.706412 | + | 0.407847i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 2.14804 | − | 8.01659i | 0.0801641 | − | 0.299176i | ||||
\(719\) | −12.5298 | + | 21.7022i | −0.467281 | + | 0.809354i | −0.999301 | − | 0.0373772i | \(-0.988100\pi\) |
0.532020 | + | 0.846732i | \(0.321433\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 21.2522 | − | 48.2011i | 0.791472 | − | 1.79510i | ||||
\(722\) | −4.35377 | − | 4.35377i | −0.162031 | − | 0.162031i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −9.18809 | + | 5.30475i | −0.341473 | + | 0.197149i | ||||
\(725\) | 0.789755 | − | 48.9571i | 0.0293307 | − | 1.81822i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −10.6897 | + | 10.6897i | −0.396460 | + | 0.396460i | −0.876982 | − | 0.480523i | \(-0.840447\pi\) |
0.480523 | + | 0.876982i | \(0.340447\pi\) | |||||||
\(728\) | −1.80944 | + | 2.25105i | −0.0670623 | + | 0.0834296i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 15.8885 | − | 15.6343i | 0.588061 | − | 0.578651i | ||||
\(731\) | −0.172452 | + | 0.0995651i | −0.00637836 | + | 0.00368255i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −26.1579 | + | 7.00900i | −0.966165 | + | 0.258883i | −0.707208 | − | 0.707006i | \(-0.750046\pi\) |
−0.258957 | + | 0.965889i | \(0.583379\pi\) | |||||||
\(734\) | −19.1797 | −0.707937 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.937600 | 0.0345604 | ||||||||
\(737\) | 4.05687 | − | 1.08703i | 0.149437 | − | 0.0400414i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 40.4463 | − | 23.3517i | 1.48784 | − | 0.859006i | 0.487938 | − | 0.872878i | \(-0.337749\pi\) |
0.999904 | + | 0.0138727i | \(0.00441595\pi\) | |||||||
\(740\) | −0.116964 | + | 14.5022i | −0.00429968 | + | 0.533111i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −12.2517 | + | 15.2418i | −0.449773 | + | 0.559545i | ||||
\(743\) | 25.2408 | − | 25.2408i | 0.925997 | − | 0.925997i | −0.0714474 | − | 0.997444i | \(-0.522762\pi\) |
0.997444 | + | 0.0714474i | \(0.0227618\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −10.7628 | + | 2.79105i | −0.394319 | + | 0.102256i | ||||
\(746\) | −1.44230 | + | 0.832715i | −0.0528065 | + | 0.0304879i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.989090 | + | 0.989090i | 0.0361647 | + | 0.0361647i | ||||
\(749\) | 19.2819 | − | 43.7324i | 0.704545 | − | 1.59795i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −24.7674 | + | 42.8984i | −0.903775 | + | 1.56538i | −0.0812216 | + | 0.996696i | \(0.525882\pi\) |
−0.822553 | + | 0.568688i | \(0.807451\pi\) | |||||||
\(752\) | 0.854209 | − | 3.18795i | 0.0311498 | − | 0.116253i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 9.25766 | + | 5.34491i | 0.337144 | + | 0.194650i | ||||
\(755\) | 13.2384 | − | 47.8591i | 0.481796 | − | 1.74177i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −27.1533 | + | 27.1533i | −0.986902 | + | 0.986902i | −0.999915 | − | 0.0130130i | \(-0.995858\pi\) |
0.0130130 | + | 0.999915i | \(0.495858\pi\) | |||||||
\(758\) | −2.94308 | − | 10.9837i | −0.106897 | − | 0.398946i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −9.66730 | − | 5.68587i | −0.350670 | − | 0.206248i | ||||
\(761\) | 6.77173 | + | 3.90966i | 0.245475 | + | 0.141725i | 0.617691 | − | 0.786421i | \(-0.288068\pi\) |
−0.372216 | + | 0.928146i | \(0.621402\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −4.55281 | + | 29.4333i | −0.164823 | + | 1.06556i | ||||
\(764\) | −0.665334 | −0.0240709 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 9.78557 | + | 16.9491i | 0.353567 | + | 0.612396i | ||||
\(767\) | 1.91642 | − | 7.15218i | 0.0691980 | − | 0.258250i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 2.94104i | − | 0.106056i | −0.998593 | − | 0.0530282i | \(-0.983113\pi\) | ||
0.998593 | − | 0.0530282i | \(-0.0168873\pi\) | |||||||
\(770\) | −2.44422 | + | 2.99104i | −0.0880837 | + | 0.107790i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −5.41238 | − | 20.1993i | −0.194796 | − | 0.726988i | ||||
\(773\) | −23.2723 | − | 6.23578i | −0.837045 | − | 0.224286i | −0.185260 | − | 0.982690i | \(-0.559313\pi\) |
−0.651785 | + | 0.758404i | \(0.725979\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 7.84500 | − | 4.36213i | 0.281801 | − | 0.156692i | ||||
\(776\) | − | 12.1618i | − | 0.436584i | ||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 9.42599 | + | 9.42599i | 0.337938 | + | 0.337938i | ||||
\(779\) | −19.8120 | + | 34.3154i | −0.709838 | + | 1.22948i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −2.50909 | − | 4.34587i | −0.0897823 | − | 0.155508i | ||||
\(782\) | 1.94023 | − | 0.519884i | 0.0693825 | − | 0.0185910i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −6.67285 | − | 2.11495i | −0.238316 | − | 0.0755340i | ||||
\(785\) | 10.0249 | + | 17.6916i | 0.357803 | + | 0.631440i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −21.1750 | − | 5.67382i | −0.754807 | − | 0.202250i | −0.139158 | − | 0.990270i | \(-0.544439\pi\) |
−0.615649 | + | 0.788020i | \(0.711106\pi\) | |||||||
\(788\) | −7.75039 | − | 2.07671i | −0.276096 | − | 0.0739798i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −13.1622 | − | 23.2283i | −0.468291 | − | 0.826426i | ||||
\(791\) | 1.69779 | + | 15.6106i | 0.0603666 | + | 0.555050i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −9.14883 | + | 2.45142i | −0.324884 | + | 0.0870525i | ||||
\(794\) | −6.93973 | − | 12.0200i | −0.246282 | − | 0.426572i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 7.30475 | − | 12.6522i | 0.258910 | − | 0.448445i | ||||
\(797\) | −1.72825 | − | 1.72825i | −0.0612178 | − | 0.0612178i | 0.675835 | − | 0.737053i | \(-0.263783\pi\) |
−0.737053 | + | 0.675835i | \(0.763783\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 7.07067i | − | 0.250142i | ||||||
\(800\) | −4.80813 | − | 1.37183i | −0.169993 | − | 0.0485014i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 21.6636 | + | 5.80475i | 0.764969 | + | 0.204973i | ||||
\(803\) | 1.68459 | + | 6.28697i | 0.0594478 | + | 0.221862i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.96476 | + | 5.18729i | 0.0692488 | + | 0.182828i | ||||
\(806\) | 1.95971i | 0.0690277i | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −0.469023 | + | 1.75042i | −0.0165002 | + | 0.0615795i | ||||
\(809\) | 0.419280 | + | 0.726214i | 0.0147411 | + | 0.0255323i | 0.873302 | − | 0.487180i | \(-0.161974\pi\) |
−0.858561 | + | 0.512712i | \(0.828641\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −25.2799 | −0.887699 | −0.443849 | − | 0.896101i | \(-0.646387\pi\) | ||||
−0.443849 | + | 0.896101i | \(0.646387\pi\) | |||||||
\(812\) | −3.96057 | + | 25.6045i | −0.138989 | + | 0.898543i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −3.66735 | − | 2.11734i | −0.128540 | − | 0.0742128i | ||||
\(815\) | −28.9618 | − | 17.0340i | −1.01449 | − | 0.596676i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.120662 | + | 0.450318i | 0.00422144 | + | 0.0157546i | ||||
\(818\) | −25.9187 | + | 25.9187i | −0.906225 | + | 0.906225i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −4.70949 | + | 17.0256i | −0.164462 | + | 0.594559i | ||||
\(821\) | 7.48620 | + | 4.32216i | 0.261270 | + | 0.150844i | 0.624914 | − | 0.780694i | \(-0.285134\pi\) |
−0.363644 | + | 0.931538i | \(0.618467\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 7.53721 | − | 28.1292i | 0.262731 | − | 0.980524i | −0.700894 | − | 0.713265i | \(-0.747216\pi\) |
0.963625 | − | 0.267259i | \(-0.0861178\pi\) | |||||||
\(824\) | −9.95526 | + | 17.2430i | −0.346808 | + | 0.600689i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 17.8411 | − | 1.94038i | 0.620772 | − | 0.0675145i | ||||
\(827\) | −17.2791 | − | 17.2791i | −0.600853 | − | 0.600853i | 0.339686 | − | 0.940539i | \(-0.389679\pi\) |
−0.940539 | + | 0.339686i | \(0.889679\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −0.217326 | + | 0.125473i | −0.00754804 | + | 0.00435787i | −0.503769 | − | 0.863838i | \(-0.668054\pi\) |
0.496221 | + | 0.868196i | \(0.334720\pi\) | |||||||
\(830\) | −2.56651 | + | 0.665556i | −0.0890848 | + | 0.0231018i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.771886 | − | 0.771886i | 0.0267603 | − | 0.0267603i | ||||
\(833\) | −14.9812 | − | 0.676611i | −0.519069 | − | 0.0234432i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.413181 | − | 51.2297i | 0.0142987 | − | 1.77288i | ||||
\(836\) | 2.83609 | − | 1.63742i | 0.0980882 | − | 0.0566313i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −5.54796 | + | 1.48657i | −0.191651 | + | 0.0513527i | ||||
\(839\) | −35.4029 | −1.22224 | −0.611122 | − | 0.791537i | \(-0.709281\pi\) | ||||
−0.611122 | + | 0.791537i | \(0.709281\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 66.8969 | 2.30679 | ||||||||
\(842\) | −23.7667 | + | 6.36826i | −0.819054 | + | 0.219465i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 18.8994 | − | 10.9116i | 0.650544 | − | 0.375592i | ||||
\(845\) | −18.8207 | + | 18.5195i | −0.647451 | + | 0.637090i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 10.1198 | + | 26.0809i | 0.347720 | + | 0.896149i | ||||
\(848\) | 5.22642 | − | 5.22642i | 0.179476 | − | 0.179476i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −10.7104 | − | 0.172775i | −0.367364 | − | 0.00592615i | ||||
\(851\) | −5.26636 | + | 3.04054i | −0.180529 | + | 0.104228i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 28.1055 | + | 28.1055i | 0.962316 | + | 0.962316i | 0.999315 | − | 0.0369997i | \(-0.0117800\pi\) |
−0.0369997 | + | 0.999315i | \(0.511780\pi\) | |||||||
\(854\) | −13.5604 | − | 18.5232i | −0.464028 | − | 0.633850i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −9.03232 | + | 15.6444i | −0.308718 | + | 0.534716i | ||||
\(857\) | −9.39516 | + | 35.0632i | −0.320932 | + | 1.19774i | 0.597406 | + | 0.801939i | \(0.296198\pi\) |
−0.918338 | + | 0.395797i | \(0.870468\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −21.6216 | − | 12.4833i | −0.737721 | − | 0.425924i | 0.0835190 | − | 0.996506i | \(-0.473384\pi\) |
−0.821240 | + | 0.570583i | \(0.806717\pi\) | |||||||
\(860\) | 0.102465 | + | 0.180827i | 0.00349403 | + | 0.00616616i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −1.77846 | + | 1.77846i | −0.0605745 | + | 0.0605745i | ||||
\(863\) | −0.837748 | − | 3.12652i | −0.0285173 | − | 0.106428i | 0.950200 | − | 0.311640i | \(-0.100878\pi\) |
−0.978718 | + | 0.205212i | \(0.934212\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 2.19815 | − | 3.73736i | 0.0747392 | − | 0.127074i | ||||
\(866\) | 3.40290 | + | 1.96467i | 0.115635 | + | 0.0667621i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −4.42810 | + | 1.71817i | −0.150300 | + | 0.0583186i | ||||
\(869\) | 7.79573 | 0.264452 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −3.51097 | − | 6.08117i | −0.118965 | − | 0.206053i | ||||
\(872\) | 2.91353 | − | 10.8735i | 0.0986647 | − | 0.368222i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | − | 4.70271i | − | 0.159072i | ||||||
\(875\) | −2.48590 | − | 29.4758i | −0.0840386 | − | 0.996462i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −6.25395 | − | 23.3401i | −0.211181 | − | 0.788138i | −0.987476 | − | 0.157769i | \(-0.949570\pi\) |
0.776295 | − | 0.630370i | \(-0.217097\pi\) | |||||||
\(878\) | 26.9983 | + | 7.23418i | 0.911150 | + | 0.244142i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 1.04065 | − | 1.02399i | 0.0350802 | − | 0.0345188i | ||||
\(881\) | − | 18.8570i | − | 0.635308i | −0.948207 | − | 0.317654i | \(-0.897105\pi\) | ||
0.948207 | − | 0.317654i | \(-0.102895\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −6.13769 | − | 6.13769i | −0.206550 | − | 0.206550i | 0.596250 | − | 0.802799i | \(-0.296657\pi\) |
−0.802799 | + | 0.596250i | \(0.796657\pi\) | |||||||
\(884\) | 1.16931 | − | 2.02531i | 0.0393282 | − | 0.0681185i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 11.7378 | + | 20.3305i | 0.394339 | + | 0.683016i | ||||
\(887\) | −22.5462 | + | 6.04124i | −0.757028 | + | 0.202845i | −0.616633 | − | 0.787251i | \(-0.711504\pi\) |
−0.140395 | + | 0.990096i | \(0.544837\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.375757 | − | 3.45495i | −0.0126025 | − | 0.115875i | ||||
\(890\) | 33.6610 | − | 19.0739i | 1.12832 | − | 0.639358i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 4.58563 | + | 1.22872i | 0.153538 | + | 0.0411404i | ||||
\(893\) | −15.9898 | − | 4.28445i | −0.535078 | − | 0.143374i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 13.0116 | − | 47.0391i | 0.434929 | − | 1.57234i | ||||
\(896\) | 2.42089 | + | 1.06738i | 0.0808761 | + | 0.0356588i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 5.86095 | − | 1.57044i | 0.195582 | − | 0.0524062i | ||||
\(899\) | 8.79012 | + | 15.2249i | 0.293167 | + | 0.507780i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 7.91739 | − | 13.7133i | 0.263766 | − | 0.456857i | ||||
\(902\) | −3.64729 | − | 3.64729i | −0.121442 | − | 0.121442i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | − | 5.93505i | − | 0.197397i | ||||||
\(905\) | 16.6393 | + | 16.9098i | 0.553107 | + | 0.562102i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 56.5358 | + | 15.1487i | 1.87724 | + | 0.503005i | 0.999725 | + | 0.0234563i | \(0.00746705\pi\) |
0.877515 | + | 0.479549i | \(0.159200\pi\) | |||||||
\(908\) | −5.48385 | − | 20.4660i | −0.181988 | − | 0.679189i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 5.88798 | + | 2.65297i | 0.195185 | + | 0.0879450i | ||||
\(911\) | − | 48.1428i | − | 1.59504i | −0.603290 | − | 0.797522i | \(-0.706144\pi\) | ||
0.603290 | − | 0.797522i | \(-0.293856\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.200376 | − | 0.747813i | 0.00663148 | − | 0.0247490i | ||||
\(914\) | −2.79619 | − | 4.84314i | −0.0924897 | − | 0.160197i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 19.3950 | 0.640828 | ||||||||
\(917\) | 14.7996 | − | 5.74249i | 0.488727 | − | 0.189634i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −35.2708 | − | 20.3636i | −1.16348 | − | 0.671733i | −0.211341 | − | 0.977412i | \(-0.567783\pi\) |
−0.952134 | + | 0.305680i | \(0.901116\pi\) | |||||||
\(920\) | −0.526274 | − | 2.02941i | −0.0173507 | − | 0.0669077i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 3.78731 | + | 14.1344i | 0.124728 | + | 0.465493i | ||||
\(923\) | −5.93254 | + | 5.93254i | −0.195272 | + | 0.195272i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 31.4552 | − | 7.88689i | 1.03424 | − | 0.259319i | ||||
\(926\) | −24.3600 | − | 14.0643i | −0.800520 | − | 0.462181i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 2.53454 | − | 9.45902i | 0.0832002 | − | 0.310508i | ||||
\(929\) | −28.9809 | + | 50.1964i | −0.950833 | + | 1.64689i | −0.207206 | + | 0.978297i | \(0.566437\pi\) |
−0.743628 | + | 0.668594i | \(0.766896\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −10.6079 | + | 33.4690i | −0.347661 | + | 1.09690i | ||||
\(932\) | −4.42479 | − | 4.42479i | −0.144939 | − | 0.144939i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 3.94011 | − | 2.27482i | 0.128924 | − | 0.0744345i | ||||
\(935\) | 1.58568 | − | 2.69603i | 0.0518574 | − | 0.0881698i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 37.3931 | − | 37.3931i | 1.22158 | − | 1.22158i | 0.254508 | − | 0.967071i | \(-0.418087\pi\) |
0.967071 | − | 0.254508i | \(-0.0819135\pi\) | |||||||
\(938\) | 10.6626 | − | 13.2650i | 0.348147 | − | 0.433116i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −7.37970 | − | 0.0595192i | −0.240699 | − | 0.00194130i | ||||
\(941\) | −40.6115 | + | 23.4471i | −1.32390 | + | 0.764353i | −0.984348 | − | 0.176235i | \(-0.943608\pi\) |
−0.339550 | + | 0.940588i | \(0.610275\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −7.15465 | + | 1.91708i | −0.232987 | + | 0.0624288i | ||||
\(944\) | −6.78307 | −0.220770 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.0606881 | −0.00197314 | ||||||||
\(947\) | −4.00187 | + | 1.07230i | −0.130043 | + | 0.0348450i | −0.323254 | − | 0.946312i | \(-0.604777\pi\) |
0.193210 | + | 0.981157i | \(0.438110\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 9.42405 | − | 5.44098i | 0.305918 | − | 0.176622i | ||||
\(950\) | −6.88066 | + | 24.1161i | −0.223238 | + | 0.782429i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 5.60153 | + | 0.866459i | 0.181547 | + | 0.0280821i | ||||
\(953\) | 19.4496 | − | 19.4496i | 0.630036 | − | 0.630036i | −0.318041 | − | 0.948077i | \(-0.603025\pi\) |
0.948077 | + | 0.318041i | \(0.103025\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.373451 | + | 1.44010i | 0.0120846 | + | 0.0466005i | ||||
\(956\) | −17.1340 | + | 9.89233i | −0.554154 | + | 0.319941i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −3.13368 | − | 3.13368i | −0.101245 | − | 0.101245i | ||||
\(959\) | 18.1007 | + | 24.7251i | 0.584502 | + | 0.798416i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.8886 | − | 24.0557i | 0.448018 | − | 0.775990i | ||||
\(962\) | −1.83243 | + | 6.83872i | −0.0590799 | + | 0.220489i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −2.61328 | − | 1.50878i | −0.0841682 | − | 0.0485945i | ||||
\(965\) | −40.6829 | + | 23.0528i | −1.30963 | + | 0.742096i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −4.31421 | + | 4.31421i | −0.138736 | + | 0.138736i | −0.773064 | − | 0.634328i | \(-0.781277\pi\) |
0.634328 | + | 0.773064i | \(0.281277\pi\) | |||||||
\(968\) | −2.73667 | − | 10.2134i | −0.0879600 | − | 0.328271i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −26.3239 | + | 6.82641i | −0.845210 | + | 0.219183i | ||||
\(971\) | 26.3375 | + | 15.2060i | 0.845211 | + | 0.487983i | 0.859032 | − | 0.511921i | \(-0.171066\pi\) |
−0.0138209 | + | 0.999904i | \(0.504399\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 21.5246 | + | 17.3019i | 0.690046 | + | 0.554672i | ||||
\(974\) | 12.4744 | 0.399705 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 4.33834 | + | 7.51422i | 0.138867 | + | 0.240524i | ||||
\(977\) | −0.597152 | + | 2.22860i | −0.0191046 | + | 0.0712993i | −0.974820 | − | 0.222993i | \(-0.928417\pi\) |
0.955715 | + | 0.294292i | \(0.0950839\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 11.2971i | 0.361056i | ||||||||
\(980\) | −0.832292 | + | 15.6303i | −0.0265866 | + | 0.499293i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −6.79189 | − | 25.3477i | −0.216738 | − | 0.808877i | ||||
\(983\) | 5.68876 | + | 1.52430i | 0.181443 | + | 0.0486175i | 0.348397 | − | 0.937347i | \(-0.386726\pi\) |
−0.166953 | + | 0.985965i | \(0.553393\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.144700 | + | 17.9412i | −0.00461053 | + | 0.571653i | ||||
\(986\) | − | 20.9795i | − | 0.668123i | ||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −3.87154 | − | 3.87154i | −0.123170 | − | 0.123170i | ||||
\(989\) | −0.0435745 | + | 0.0754733i | −0.00138559 | + | 0.00239991i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 27.1283 | + | 46.9876i | 0.861759 | + | 1.49261i | 0.870230 | + | 0.492646i | \(0.163970\pi\) |
−0.00847044 | + | 0.999964i | \(0.502696\pi\) | |||||||
\(992\) | 1.73407 | − | 0.464642i | 0.0550567 | − | 0.0147524i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −18.6064 | − | 8.20367i | −0.590159 | − | 0.260205i | ||||
\(995\) | −31.4855 | − | 8.70927i | −0.998157 | − | 0.276102i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 11.4153 | + | 3.05872i | 0.361526 | + | 0.0968706i | 0.435009 | − | 0.900426i | \(-0.356745\pi\) |
−0.0734837 | + | 0.997296i | \(0.523412\pi\) | |||||||
\(998\) | −9.86512 | − | 2.64335i | −0.312275 | − | 0.0836738i | ||||
\(999\) | 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 | 630.2.ce.c.233.1 | yes | 32 | |
3.2 | odd | 2 | inner | 630.2.ce.c.233.8 | yes | 32 | |
5.2 | odd | 4 | inner | 630.2.ce.c.107.1 | yes | 32 | |
7.4 | even | 3 | inner | 630.2.ce.c.53.8 | yes | 32 | |
15.2 | even | 4 | inner | 630.2.ce.c.107.8 | yes | 32 | |
21.11 | odd | 6 | inner | 630.2.ce.c.53.1 | ✓ | 32 | |
35.32 | odd | 12 | inner | 630.2.ce.c.557.8 | yes | 32 | |
105.32 | even | 12 | inner | 630.2.ce.c.557.1 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
630.2.ce.c.53.1 | ✓ | 32 | 21.11 | odd | 6 | inner | |
630.2.ce.c.53.8 | yes | 32 | 7.4 | even | 3 | inner | |
630.2.ce.c.107.1 | yes | 32 | 5.2 | odd | 4 | inner | |
630.2.ce.c.107.8 | yes | 32 | 15.2 | even | 4 | inner | |
630.2.ce.c.233.1 | yes | 32 | 1.1 | even | 1 | trivial | |
630.2.ce.c.233.8 | yes | 32 | 3.2 | odd | 2 | inner | |
630.2.ce.c.557.1 | yes | 32 | 105.32 | even | 12 | inner | |
630.2.ce.c.557.8 | yes | 32 | 35.32 | odd | 12 | inner |