Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(41,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 33, 53]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.ba (of order \(66\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(440\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 41.19 | ||
Character | \(\chi\) | \(=\) | 804.41 |
Dual form | 804.2.ba.b.353.19 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{53}{66}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 1.59370 | + | 0.678318i | 0.920124 | + | 0.391627i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.306661 | − | 2.13288i | 0.137143 | − | 0.953851i | −0.798774 | − | 0.601631i | \(-0.794518\pi\) |
0.935917 | − | 0.352220i | \(-0.114573\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.233782 | − | 2.44828i | −0.0883614 | − | 0.925362i | −0.925595 | − | 0.378516i | \(-0.876434\pi\) |
0.837233 | − | 0.546846i | \(-0.184172\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.07977 | + | 2.16207i | 0.693256 | + | 0.720691i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.54950 | − | 1.02066i | 0.768702 | − | 0.307742i | 0.0460363 | − | 0.998940i | \(-0.485341\pi\) |
0.722665 | + | 0.691198i | \(0.242917\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.81545 | − | 5.05030i | −1.33557 | − | 1.40070i | −0.850267 | − | 0.526352i | \(-0.823559\pi\) |
−0.485299 | − | 0.874348i | \(-0.661289\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.93549 | − | 3.19115i | 0.499743 | − | 0.823952i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.521893 | + | 0.180629i | −0.126578 | + | 0.0438090i | −0.389622 | − | 0.920975i | \(-0.627395\pi\) |
0.263045 | + | 0.964784i | \(0.415273\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.78507 | − | 0.265942i | −0.638940 | − | 0.0610113i | −0.229442 | − | 0.973322i | \(-0.573690\pi\) |
−0.409498 | + | 0.912311i | \(0.634296\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.28813 | − | 4.06040i | 0.281094 | − | 0.886053i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.01683 | − | 0.0960734i | 0.420538 | − | 0.0200327i | 0.163753 | − | 0.986501i | \(-0.447640\pi\) |
0.256785 | + | 0.966469i | \(0.417337\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.342350 | + | 0.100523i | 0.0684700 | + | 0.0201046i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.84795 | + | 4.85645i | 0.355639 | + | 0.934623i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.51027 | − | 1.44930i | 0.466145 | − | 0.269129i | −0.248480 | − | 0.968637i | \(-0.579931\pi\) |
0.714625 | + | 0.699508i | \(0.246598\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.313059 | + | 0.328327i | −0.0562271 | + | 0.0589693i | −0.751247 | − | 0.660021i | \(-0.770547\pi\) |
0.695020 | + | 0.718991i | \(0.255396\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 4.75547 | + | 0.102736i | 0.827821 | + | 0.0178841i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −5.29357 | − | 0.252164i | −0.894776 | − | 0.0426234i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.36757 | + | 2.36869i | −0.224826 | + | 0.389411i | −0.956267 | − | 0.292494i | \(-0.905515\pi\) |
0.731441 | + | 0.681905i | \(0.238848\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −4.24868 | − | 11.3151i | −0.680333 | − | 1.81186i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −6.42149 | − | 1.23764i | −1.00287 | − | 0.193287i | −0.338720 | − | 0.940887i | \(-0.609994\pi\) |
−0.664149 | + | 0.747600i | \(0.731206\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.627825 | + | 0.544013i | 0.0957424 | + | 0.0829613i | 0.701417 | − | 0.712751i | \(-0.252551\pi\) |
−0.605674 | + | 0.795713i | \(0.707097\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 5.24922 | − | 3.77286i | 0.782507 | − | 0.562425i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 5.40598 | − | 10.4861i | 0.788543 | − | 1.52956i | −0.0586520 | − | 0.998278i | \(-0.518680\pi\) |
0.847195 | − | 0.531282i | \(-0.178289\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.934085 | − | 0.180030i | 0.133441 | − | 0.0257186i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.954266 | − | 0.0661411i | −0.133624 | − | 0.00926161i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 8.67995 | + | 10.0172i | 1.19228 | + | 1.37597i | 0.908929 | + | 0.416951i | \(0.136901\pi\) |
0.283353 | + | 0.959016i | \(0.408553\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.39512 | − | 5.75075i | −0.188118 | − | 0.775431i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −4.25818 | − | 2.31300i | −0.564010 | − | 0.306364i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 3.75489 | + | 12.7880i | 0.488845 | + | 1.66485i | 0.721595 | + | 0.692315i | \(0.243409\pi\) |
−0.232750 | + | 0.972536i | \(0.574773\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.25071 | + | 5.62201i | −0.288174 | + | 0.719824i | 0.711676 | + | 0.702508i | \(0.247936\pi\) |
−0.999850 | + | 0.0173163i | \(0.994488\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 4.80715 | − | 5.59731i | 0.605644 | − | 0.705194i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −12.2484 | + | 8.72202i | −1.51922 | + | 1.08183i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −8.15679 | + | 0.683270i | −0.996510 | + | 0.0834747i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 3.27939 | + | 1.21494i | 0.394793 | + | 0.146262i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 8.87305 | + | 3.07099i | 1.05304 | + | 0.364460i | 0.798117 | − | 0.602502i | \(-0.205830\pi\) |
0.254920 | + | 0.966962i | \(0.417951\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 9.59379 | + | 3.84077i | 1.12287 | + | 0.449528i | 0.857431 | − | 0.514600i | \(-0.172059\pi\) |
0.265437 | + | 0.964128i | \(0.414484\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0.477417 | + | 0.392426i | 0.0551274 | + | 0.0453135i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −3.09490 | − | 6.00326i | −0.352696 | − | 0.684135i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.42862 | − | 1.07437i | 0.498259 | − | 0.120876i | 0.0212489 | − | 0.999774i | \(-0.493236\pi\) |
0.477010 | + | 0.878898i | \(0.341721\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.349130 | + | 8.99323i | −0.0387922 | + | 0.999247i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 6.35474 | − | 8.08070i | 0.697523 | − | 0.886972i | −0.300237 | − | 0.953865i | \(-0.597066\pi\) |
0.997760 | + | 0.0668921i | \(0.0213083\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.225215 | + | 1.16852i | 0.0244280 | + | 0.126744i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 4.98371 | − | 0.606996i | 0.534309 | − | 0.0650768i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 1.12214 | − | 1.74608i | 0.118947 | − | 0.185084i | −0.776675 | − | 0.629902i | \(-0.783095\pi\) |
0.895621 | + | 0.444817i | \(0.146731\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −11.2388 | + | 12.9702i | −1.17814 | + | 1.35965i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.721633 | + | 0.310901i | −0.0748299 | + | 0.0322390i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −1.42130 | + | 5.85866i | −0.145822 | + | 0.601086i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 7.31896 | + | 4.22560i | 0.743128 | + | 0.429045i | 0.823205 | − | 0.567744i | \(-0.192183\pi\) |
−0.0800776 | + | 0.996789i | \(0.525517\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 7.50911 | + | 3.38945i | 0.754694 | + | 0.340653i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −0.426724 | + | 0.599250i | −0.0424607 | + | 0.0596276i | −0.835260 | − | 0.549854i | \(-0.814683\pi\) |
0.792800 | + | 0.609482i | \(0.208623\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −9.36794 | − | 8.93231i | −0.923050 | − | 0.880127i | 0.0700322 | − | 0.997545i | \(-0.477690\pi\) |
−0.993083 | + | 0.117418i | \(0.962538\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −8.26531 | − | 3.99260i | −0.806612 | − | 0.389638i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 4.80701 | − | 0.691144i | 0.464711 | − | 0.0668154i | 0.0940174 | − | 0.995571i | \(-0.470029\pi\) |
0.370694 | + | 0.928755i | \(0.379120\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.08024 | + | 7.08464i | −0.199251 | + | 0.678586i | 0.797875 | + | 0.602823i | \(0.205957\pi\) |
−0.997126 | + | 0.0757630i | \(0.975861\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −3.78622 | + | 2.84734i | −0.359372 | + | 0.270258i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 1.78929 | − | 1.40711i | 0.168322 | − | 0.132370i | −0.530445 | − | 0.847720i | \(-0.677975\pi\) |
0.698767 | + | 0.715350i | \(0.253733\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.413571 | − | 4.33111i | 0.0385657 | − | 0.403878i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.904101 | − | 20.9148i | 0.0835842 | − | 1.93357i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.564239 | + | 1.23551i | 0.0517237 | + | 0.113259i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.50290 | + | 2.38651i | −0.227537 | + | 0.216956i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −9.39442 | − | 6.32825i | −0.847067 | − | 0.570599i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 4.79509 | − | 10.4998i | 0.428886 | − | 0.939128i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −15.4009 | + | 1.47061i | −1.36661 | + | 0.130496i | −0.752432 | − | 0.658670i | \(-0.771120\pi\) |
−0.614181 | + | 0.789165i | \(0.710513\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.631551 | + | 1.29286i | 0.0556050 | + | 0.113830i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −3.50834 | − | 5.45908i | −0.306525 | − | 0.476962i | 0.653481 | − | 0.756943i | \(-0.273308\pi\) |
−0.960005 | + | 0.279981i | \(0.909672\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 6.88081i | 0.596642i | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 10.9249 | − | 2.45217i | 0.940265 | − | 0.211049i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −10.3235 | + | 6.63453i | −0.881999 | + | 0.566826i | −0.901401 | − | 0.432985i | \(-0.857460\pi\) |
0.0194019 | + | 0.999812i | \(0.493824\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −9.86849 | − | 1.41887i | −0.837034 | − | 0.120347i | −0.289549 | − | 0.957163i | \(-0.593505\pi\) |
−0.547485 | + | 0.836816i | \(0.684415\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 15.7285 | − | 13.0448i | 1.32458 | − | 1.09857i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −17.4316 | − | 7.96076i | −1.45771 | − | 0.665712i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.32138 | − | 5.79853i | −0.192780 | − | 0.481542i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 1.61077 | + | 0.346693i | 0.132854 | + | 0.0285947i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −18.0782 | + | 8.25602i | −1.48102 | + | 0.676359i | −0.981766 | − | 0.190096i | \(-0.939120\pi\) |
−0.499255 | + | 0.866455i | \(0.666393\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.76478 | + | 7.98830i | 0.224994 | + | 0.650079i | 0.999839 | + | 0.0179272i | \(0.00570670\pi\) |
−0.774845 | + | 0.632151i | \(0.782172\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −1.47595 | − | 0.752705i | −0.119323 | − | 0.0608526i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.604278 | + | 0.768401i | 0.0485367 | + | 0.0617195i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.0842720 | + | 1.76909i | 0.00672563 | + | 0.141188i | 0.999732 | + | 0.0231313i | \(0.00736357\pi\) |
−0.993007 | + | 0.118057i | \(0.962333\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 7.03839 | + | 21.8522i | 0.558181 | + | 1.73299i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.706714 | − | 4.91530i | −0.0556968 | − | 0.387380i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.78670 | − | 6.55876i | −0.296598 | − | 0.513722i | 0.678758 | − | 0.734362i | \(-0.262519\pi\) |
−0.975355 | + | 0.220640i | \(0.929185\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 1.67744 | − | 10.1113i | 0.130589 | − | 0.787165i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −9.87190 | − | 7.02975i | −0.763910 | − | 0.543978i | 0.130381 | − | 0.991464i | \(-0.458380\pi\) |
−0.894291 | + | 0.447486i | \(0.852319\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.69839 | + | 35.6536i | −0.130646 | + | 2.74259i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −5.21732 | − | 6.57463i | −0.398978 | − | 0.502775i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 20.3597 | + | 4.93922i | 1.54792 | + | 0.375522i | 0.916537 | − | 0.399949i | \(-0.130972\pi\) |
0.631384 | + | 0.775471i | \(0.282487\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.166073 | − | 0.861669i | 0.0125539 | − | 0.0651361i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −2.69015 | + | 22.9272i | −0.202204 | + | 1.72331i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 8.09006 | + | 5.19917i | 0.604679 | + | 0.388604i | 0.806859 | − | 0.590745i | \(-0.201166\pi\) |
−0.202179 | + | 0.979349i | \(0.564802\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 5.87750 | + | 3.03006i | 0.436871 | + | 0.225223i | 0.662609 | − | 0.748965i | \(-0.269449\pi\) |
−0.225738 | + | 0.974188i | \(0.572479\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −7.40047 | + | 7.43310i | −0.547059 | + | 0.549471i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 4.63275 | + | 3.64323i | 0.340606 | + | 0.267856i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.14620 | + | 0.993190i | −0.0838186 | + | 0.0726292i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 11.4579 | − | 5.65966i | 0.833441 | − | 0.411680i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 3.46682 | − | 1.78727i | 0.250850 | − | 0.129322i | −0.328216 | − | 0.944603i | \(-0.606447\pi\) |
0.579067 | + | 0.815280i | \(0.303417\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 26.3811 | − | 7.74620i | 1.89896 | − | 0.557584i | 0.908879 | − | 0.417060i | \(-0.136939\pi\) |
0.990077 | − | 0.140524i | \(-0.0448787\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −25.4365 | + | 5.59200i | −1.82155 | + | 0.400452i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −5.55240 | + | 16.0426i | −0.395592 | + | 1.14299i | 0.554813 | + | 0.831975i | \(0.312790\pi\) |
−0.950405 | + | 0.311014i | \(0.899331\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 7.13663 | + | 10.0220i | 0.505902 | + | 0.710440i | 0.985995 | − | 0.166778i | \(-0.0533363\pi\) |
−0.480092 | + | 0.877218i | \(0.659397\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −13.4630 | − | 4.44397i | −0.949604 | − | 0.313453i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −4.13515 | − | 5.80701i | −0.290231 | − | 0.407572i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.60896 | + | 13.3167i | −0.321903 | + | 0.930079i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 4.40226 | + | 4.16073i | 0.305978 | + | 0.289190i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −7.37197 | + | 2.16461i | −0.509930 | + | 0.149729i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −16.8027 | + | 8.66237i | −1.15674 | + | 0.596342i | −0.926316 | − | 0.376748i | \(-0.877042\pi\) |
−0.230426 | + | 0.973090i | \(0.574012\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 12.0579 | + | 10.9130i | 0.826192 | + | 0.747746i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 1.35284 | − | 1.17224i | 0.0922631 | − | 0.0799464i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.877024 | + | 0.689699i | 0.0595363 | + | 0.0468198i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 12.6844 | + | 12.6287i | 0.857130 | + | 0.853368i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 3.42538 | + | 1.76591i | 0.230416 | + | 0.118788i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −14.0431 | − | 9.02498i | −0.940399 | − | 0.604358i | −0.0218910 | − | 0.999760i | \(-0.506969\pi\) |
−0.918508 | + | 0.395403i | \(0.870605\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.494670 | + | 0.949251i | 0.0329780 | + | 0.0632834i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −1.17258 | + | 6.08393i | −0.0778270 | + | 0.403805i | 0.922034 | + | 0.387110i | \(0.126527\pi\) |
−0.999861 | + | 0.0166949i | \(0.994686\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −3.04756 | − | 0.739331i | −0.201389 | − | 0.0488563i | 0.133796 | − | 0.991009i | \(-0.457283\pi\) |
−0.335184 | + | 0.942153i | \(0.608799\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.860217 | − | 11.6667i | −0.0565982 | − | 0.767615i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0.317294 | − | 6.66082i | 0.0207866 | − | 0.436365i | −0.964354 | − | 0.264616i | \(-0.914755\pi\) |
0.985141 | − | 0.171750i | \(-0.0549420\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −20.7078 | − | 14.7460i | −1.35083 | − | 0.961921i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 7.78666 | + | 1.29179i | 0.505798 | + | 0.0839106i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −12.4911 | − | 21.6352i | −0.807981 | − | 1.39946i | −0.914260 | − | 0.405127i | \(-0.867227\pi\) |
0.106279 | − | 0.994336i | \(-0.466106\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.00925738 | + | 0.0643865i | 0.000596320 | + | 0.00414750i | 0.990117 | − | 0.140241i | \(-0.0447877\pi\) |
−0.989521 | + | 0.144388i | \(0.953879\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −6.65668 | + | 14.0957i | −0.427026 | + | 0.904239i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −0.0975342 | − | 2.04749i | −0.00623123 | − | 0.130810i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 12.0683 | + | 15.3461i | 0.767887 | + | 0.976448i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 15.6088 | − | 8.56769i | 0.989170 | − | 0.542955i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −8.13828 | − | 23.5140i | −0.513684 | − | 1.48419i | −0.841923 | − | 0.539597i | \(-0.818577\pi\) |
0.328240 | − | 0.944594i | \(-0.393545\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 5.04384 | − | 2.30344i | 0.317103 | − | 0.144816i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.433707 | + | 2.01505i | −0.0271598 | + | 0.126187i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 5.53208 | + | 13.8185i | 0.345082 | + | 0.861972i | 0.994805 | + | 0.101801i | \(0.0324605\pi\) |
−0.649723 | + | 0.760171i | \(0.725115\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 6.11893 | + | 2.79442i | 0.380212 | + | 0.173637i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 8.35427 | + | 2.41317i | 0.517117 | + | 0.149371i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −13.2735 | − | 1.90845i | −0.818482 | − | 0.117680i | −0.279660 | − | 0.960099i | \(-0.590222\pi\) |
−0.538823 | + | 0.842419i | \(0.681131\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 24.0272 | − | 15.4414i | 1.47598 | − | 0.948555i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 2.97276 | − | 2.02157i | 0.181930 | − | 0.123718i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 9.15469i | 0.558171i | 0.960266 | + | 0.279086i | \(0.0900313\pi\) | ||||
−0.960266 | + | 0.279086i | \(0.909969\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6.35792 | − | 9.89311i | −0.386216 | − | 0.600964i | 0.592652 | − | 0.805459i | \(-0.298081\pi\) |
−0.978868 | + | 0.204495i | \(0.934445\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −26.7092 | + | 13.0472i | −1.61651 | + | 0.789653i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0.975420 | − | 0.0931413i | 0.0588200 | − | 0.00561663i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.72997 | + | 10.3572i | −0.284196 | + | 0.622303i | −0.996858 | − | 0.0792046i | \(-0.974762\pi\) |
0.712662 | + | 0.701507i | \(0.247489\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −1.36096 | + | 0.00598686i | −0.0814784 | + | 0.000358424i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 14.5314 | − | 13.8556i | 0.866869 | − | 0.826558i | −0.119204 | − | 0.992870i | \(-0.538034\pi\) |
0.986073 | + | 0.166312i | \(0.0531859\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.292674 | + | 0.640866i | 0.0173976 | + | 0.0380955i | 0.918131 | − | 0.396276i | \(-0.129698\pi\) |
−0.900734 | + | 0.434372i | \(0.856970\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −6.23916 | + | 8.37286i | −0.369576 | + | 0.495966i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −1.52886 | + | 16.0109i | −0.0902457 | + | 0.945096i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −13.1232 | + | 10.3202i | −0.771950 | + | 0.607069i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 8.79793 | + | 11.6989i | 0.515744 | + | 0.685804i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −4.70974 | + | 16.0399i | −0.275146 | + | 0.937061i | 0.699748 | + | 0.714390i | \(0.253296\pi\) |
−0.974894 | + | 0.222671i | \(0.928522\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 28.4266 | − | 4.08713i | 1.65506 | − | 0.237962i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 9.66815 | + | 10.4953i | 0.561003 | + | 0.609002i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −10.1971 | − | 9.72295i | −0.589716 | − | 0.562293i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.18512 | − | 1.66427i | 0.0683093 | − | 0.0959270i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −1.08655 | + | 0.665571i | −0.0624209 | + | 0.0382361i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 11.3008 | + | 6.52454i | 0.647084 | + | 0.373594i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.60375 | − | 10.7328i | 0.148604 | − | 0.612554i | −0.847984 | − | 0.530021i | \(-0.822184\pi\) |
0.996588 | − | 0.0825328i | \(-0.0263009\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −8.87074 | − | 20.5899i | −0.504639 | − | 1.17132i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −8.51947 | + | 9.83200i | −0.483095 | + | 0.557521i | −0.944007 | − | 0.329924i | \(-0.892977\pi\) |
0.460912 | + | 0.887446i | \(0.347522\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 7.14245 | − | 11.1139i | 0.403715 | − | 0.628193i | −0.578560 | − | 0.815640i | \(-0.696385\pi\) |
0.982275 | + | 0.187447i | \(0.0600213\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −10.4642 | − | 11.9695i | −0.589590 | − | 0.674406i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 1.34794 | + | 6.99379i | 0.0757080 | + | 0.392810i | 0.999940 | + | 0.0109782i | \(0.00349455\pi\) |
−0.924232 | + | 0.381832i | \(0.875293\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.92066 | − | 6.25713i | 0.275504 | − | 0.350332i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 8.12975 | + | 2.15921i | 0.453759 | + | 0.120515i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 1.50155 | − | 0.364271i | 0.0835483 | − | 0.0202686i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.14090 | − | 2.21303i | −0.0632856 | − | 0.122757i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −8.12093 | + | 9.87974i | −0.449088 | + | 0.546351i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −26.9368 | − | 10.7839i | −1.48507 | − | 0.594534i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 15.5053 | + | 5.36642i | 0.852246 | + | 0.294965i | 0.718052 | − | 0.695990i | \(-0.245034\pi\) |
0.134195 | + | 0.990955i | \(0.457155\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −7.96551 | + | 1.96955i | −0.436507 | + | 0.107931i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −1.04404 | + | 17.6069i | −0.0570420 | + | 0.961970i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −17.8277 | + | 12.6951i | −0.971138 | + | 0.691544i | −0.951302 | − | 0.308259i | \(-0.900254\pi\) |
−0.0198353 | + | 0.999803i | \(0.506314\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 3.80606 | − | 1.02881i | 0.206717 | − | 0.0558772i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −0.463031 | + | 1.15660i | −0.0250746 | + | 0.0626332i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −5.50942 | − | 18.7634i | −0.297481 | − | 1.01313i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 3.59698 | − | 6.62196i | 0.193655 | − | 0.356514i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 1.18614 | + | 4.88934i | 0.0636754 | + | 0.262473i | 0.994747 | − | 0.102363i | \(-0.0326402\pi\) |
−0.931072 | + | 0.364836i | \(0.881125\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −11.0268 | − | 12.7256i | −0.590252 | − | 0.681187i | 0.379525 | − | 0.925182i | \(-0.376088\pi\) |
−0.969777 | + | 0.243995i | \(0.921542\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 15.6278 | − | 32.7187i | 0.834149 | − | 1.74639i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 13.7779 | − | 2.65548i | 0.733325 | − | 0.141337i | 0.191100 | − | 0.981571i | \(-0.438794\pi\) |
0.542224 | + | 0.840234i | \(0.317582\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 9.27106 | − | 17.9834i | 0.492057 | − | 0.954457i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.0611585 | + | 2.35177i | 0.00323685 | + | 0.124469i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 19.3650 | + | 16.7799i | 1.02205 | + | 0.885609i | 0.993483 | − | 0.113983i | \(-0.0363608\pi\) |
0.0285650 | + | 0.999592i | \(0.490906\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −10.9707 | − | 2.11444i | −0.577407 | − | 0.111286i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −5.60770 | + | 2.10562i | −0.294328 | + | 0.110517i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 11.1339 | − | 19.2845i | 0.582777 | − | 1.00940i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 16.1306 | + | 0.768397i | 0.842012 | + | 0.0401100i | 0.464155 | − | 0.885754i | \(-0.346358\pi\) |
0.377857 | + | 0.925864i | \(0.376661\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −10.6793 | − | 16.4577i | −0.555944 | − | 0.856756i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 22.4957 | − | 23.5928i | 1.16792 | − | 1.22488i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 10.0070 | − | 5.77757i | 0.518145 | − | 0.299151i | −0.218030 | − | 0.975942i | \(-0.569963\pi\) |
0.736175 | + | 0.676791i | \(0.236630\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 14.7641 | − | 13.4809i | 0.762416 | − | 0.696151i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −19.4075 | − | 5.69855i | −0.999536 | − | 0.293490i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 33.6176 | − | 1.60140i | 1.72682 | − | 0.0822586i | 0.839485 | − | 0.543383i | \(-0.182857\pi\) |
0.887335 | + | 0.461124i | \(0.152554\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −25.5421 | − | 8.10303i | −1.30856 | − | 0.415131i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 34.1052 | + | 3.25665i | 1.74269 | + | 0.166407i | 0.917312 | − | 0.398170i | \(-0.130355\pi\) |
0.825380 | + | 0.564577i | \(0.190961\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −13.7533 | + | 4.76006i | −0.700933 | + | 0.242595i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0.129533 | + | 2.48883i | 0.00658453 | + | 0.126514i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −17.0865 | − | 17.9198i | −0.866318 | − | 0.908568i | 0.130239 | − | 0.991483i | \(-0.458426\pi\) |
−0.996557 | + | 0.0829147i | \(0.973577\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.03522 | + | 0.414438i | −0.0523531 | + | 0.0209590i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −1.88825 | − | 11.0799i | −0.0952494 | − | 0.558907i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −0.933415 | − | 9.77516i | −0.0469652 | − | 0.491842i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 1.99460 | − | 13.8728i | 0.100106 | − | 0.696254i | −0.876529 | − | 0.481350i | \(-0.840147\pi\) |
0.976635 | − | 0.214905i | \(-0.0689441\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −4.66738 | + | 10.9660i | −0.233661 | + | 0.548984i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 18.0622 | 0.901983 | 0.450991 | − | 0.892528i | \(-0.351070\pi\) | ||||
0.450991 | + | 0.892528i | \(0.351070\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.16567 | 0.157693 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 19.0744 | + | 3.50252i | 0.947813 | + | 0.174042i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.06896 | + | 7.43480i | −0.0529865 | + | 0.368529i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.56485 | − | 16.3879i | −0.0773770 | − | 0.810328i | −0.947977 | − | 0.318338i | \(-0.896875\pi\) |
0.870600 | − | 0.491991i | \(-0.163731\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −20.9530 | + | 3.57082i | −1.03353 | + | 0.176136i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 30.4307 | − | 12.1826i | 1.49740 | − | 0.599467i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −15.2864 | − | 16.0319i | −0.750379 | − | 0.786975i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −14.7650 | − | 8.95524i | −0.723044 | − | 0.438540i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −25.6749 | + | 8.88615i | −1.25430 | + | 0.434117i | −0.871810 | − | 0.489843i | \(-0.837054\pi\) |
−0.382488 | + | 0.923960i | \(0.624933\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −27.0960 | − | 2.58736i | −1.32058 | − | 0.126100i | −0.589153 | − | 0.808021i | \(-0.700539\pi\) |
−0.731426 | + | 0.681921i | \(0.761145\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 33.9150 | − | 10.1206i | 1.64900 | − | 0.492081i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −0.196827 | + | 0.00937605i | −0.00954754 | + | 0.000454805i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 14.2904 | + | 4.19605i | 0.691562 | + | 0.203061i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −22.3809 | − | 24.5113i | −1.08056 | − | 1.18341i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 29.7965 | − | 17.2030i | 1.43525 | − | 0.828640i | 0.437733 | − | 0.899105i | \(-0.355782\pi\) |
0.997514 | + | 0.0704650i | \(0.0224483\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 12.8252 | − | 13.4507i | 0.616342 | − | 0.646400i | −0.339388 | − | 0.940646i | \(-0.610220\pi\) |
0.955730 | + | 0.294246i | \(0.0950685\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.233662 | − | 10.8158i | 0.0112032 | − | 0.518576i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −5.64257 | − | 0.268789i | −0.269921 | − | 0.0128579i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −2.80865 | + | 4.86473i | −0.134050 | + | 0.232181i | −0.925234 | − | 0.379397i | \(-0.876131\pi\) |
0.791184 | + | 0.611578i | \(0.209465\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.33192 | + | 1.64514i | 0.111044 | + | 0.0783400i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −18.3930 | − | 3.54496i | −0.873878 | − | 0.168426i | −0.267457 | − | 0.963570i | \(-0.586183\pi\) |
−0.606421 | + | 0.795144i | \(0.707395\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.38006 | − | 2.92884i | −0.160230 | − | 0.138840i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −34.4114 | + | 0.894878i | −1.62760 | + | 0.0423263i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 3.99949 | − | 7.75792i | 0.188747 | − | 0.366119i | −0.775407 | − | 0.631462i | \(-0.782455\pi\) |
0.964154 | + | 0.265343i | \(0.0854853\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −17.6348 | + | 3.39882i | −0.830389 | + | 0.160044i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −1.01238 | + | 14.6064i | −0.0475658 | + | 0.686267i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 24.2174 | + | 27.9484i | 1.13533 | + | 1.31024i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 8.20283 | + | 33.8125i | 0.383712 | + | 1.58168i | 0.756645 | + | 0.653826i | \(0.226837\pi\) |
−0.372933 | + | 0.927858i | \(0.621648\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −1.84165 | − | 2.20075i | −0.0859608 | − | 0.102722i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 7.58595 | + | 25.8354i | 0.353313 | + | 1.20327i | 0.924092 | + | 0.382170i | \(0.124823\pi\) |
−0.570779 | + | 0.821104i | \(0.693359\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 11.8761 | − | 29.6651i | 0.551929 | − | 1.37865i | −0.345884 | − | 0.938277i | \(-0.612421\pi\) |
0.897814 | − | 0.440376i | \(-0.145155\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0.441817 | + | 1.63449i | 0.0204888 | + | 0.0757979i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 7.86651 | − | 5.60171i | 0.364018 | − | 0.259216i | −0.383382 | − | 0.923590i | \(-0.625241\pi\) |
0.747401 | + | 0.664373i | \(0.231301\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 3.57975 | + | 19.8103i | 0.165297 | + | 0.914757i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −1.06570 | + | 2.87656i | −0.0491048 | + | 0.132545i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 2.15589 | + | 0.746161i | 0.0991280 | + | 0.0343085i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.926737 | − | 0.371009i | −0.0425216 | − | 0.0170231i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −3.60564 | + | 39.6001i | −0.165091 | + | 1.81316i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 12.3046 | + | 23.8677i | 0.562214 | + | 1.09054i | 0.983038 | + | 0.183400i | \(0.0587105\pi\) |
−0.420825 | + | 0.907142i | \(0.638259\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 18.5480 | − | 4.49971i | 0.845718 | − | 0.205169i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 2.20785 | − | 8.31290i | 0.100461 | − | 0.378250i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 11.2571 | − | 14.3146i | 0.511160 | − | 0.649993i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −6.53877 | − | 33.9264i | −0.296300 | − | 1.53735i | −0.759151 | − | 0.650915i | \(-0.774385\pi\) |
0.462851 | − | 0.886436i | \(-0.346827\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −1.58594 | − | 13.0213i | −0.0717189 | − | 0.588844i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 4.02285 | − | 6.25968i | 0.181549 | − | 0.282495i | −0.738537 | − | 0.674213i | \(-0.764483\pi\) |
0.920085 | + | 0.391718i | \(0.128119\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.04830 | + | 1.20981i | −0.0472133 | + | 0.0544870i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 9.53203 | − | 14.9766i | 0.428433 | − | 0.673147i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 5.44428 | − | 22.4416i | 0.244209 | − | 1.00665i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −4.30141 | − | 2.48342i | −0.192557 | − | 0.111173i | 0.400622 | − | 0.916243i | \(-0.368794\pi\) |
−0.593179 | + | 0.805070i | \(0.702127\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −10.9644 | − | 17.8996i | −0.489855 | − | 0.799695i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −0.0854197 | + | 0.119955i | −0.00380867 | + | 0.00534853i | −0.816476 | − | 0.577380i | \(-0.804075\pi\) |
0.812667 | + | 0.582728i | \(0.198015\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.14727 | + | 1.09392i | 0.0510527 | + | 0.0486786i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −26.8912 | + | 55.6692i | −1.19428 | + | 2.47236i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 6.04361 | − | 0.868940i | 0.267878 | − | 0.0385151i | −0.00706679 | − | 0.999975i | \(-0.502249\pi\) |
0.274945 | + | 0.961460i | \(0.411340\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 7.16043 | − | 24.3862i | 0.316759 | − | 1.07878i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −3.85515 | − | 14.0170i | −0.170209 | − | 0.618866i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −21.9243 | + | 17.2414i | −0.966099 | + | 0.759749i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.07970 | − | 32.2520i | 0.135445 | − | 1.41844i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 29.0970 | + | 21.6820i | 1.27721 | + | 0.951735i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −10.9594 | − | 23.9977i | −0.480140 | − | 1.05136i | −0.982425 | − | 0.186658i | \(-0.940234\pi\) |
0.502285 | − | 0.864702i | \(-0.332493\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 15.1168 | − | 14.4138i | 0.661011 | − | 0.630273i | −0.283414 | − | 0.958998i | \(-0.591467\pi\) |
0.944426 | + | 0.328724i | \(0.106619\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.849157 | − | 1.26059i | 0.0370602 | − | 0.0550168i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 0.104078 | − | 0.227899i | 0.00453371 | − | 0.00992744i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −18.8375 | + | 1.79876i | −0.819021 | + | 0.0782070i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −19.8392 | + | 34.7144i | −0.860950 | + | 1.50647i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 24.6719 | + | 38.3902i | 1.06866 | + | 1.66287i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | − | 10.4647i | − | 0.452428i | ||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 9.36645 | + | 13.7736i | 0.404192 | + | 0.594373i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 2.19770 | − | 1.41237i | 0.0946614 | − | 0.0608352i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 32.9306 | + | 4.73471i | 1.41580 | + | 0.203561i | 0.807369 | − | 0.590047i | \(-0.200891\pi\) |
0.608430 | + | 0.793608i | \(0.291800\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 7.31164 | + | 8.81584i | 0.313772 | + | 0.378324i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 14.4727 | + | 6.60948i | 0.619944 | + | 0.283119i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6.50868 | + | 16.2579i | 0.278291 | + | 0.695137i | 0.999996 | + | 0.00293625i | \(0.000934640\pi\) |
−0.721705 | + | 0.692201i | \(0.756641\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −16.8362 | + | 6.82626i | −0.718550 | + | 0.291338i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −7.37671 | + | 3.36883i | −0.314258 | + | 0.143517i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −3.66569 | − | 10.5913i | −0.155881 | − | 0.450389i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 4.91194 | + | 8.94870i | 0.208500 | + | 0.379851i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −16.6237 | − | 21.1388i | −0.704369 | − | 0.895679i | 0.293818 | − | 0.955861i | \(-0.405074\pi\) |
−0.998187 | + | 0.0601829i | \(0.980832\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.275829 | − | 5.79037i | −0.0116663 | − | 0.244907i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −2.50040 | + | 0.805358i | −0.105567 | + | 0.0340022i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 6.20782 | + | 43.1764i | 0.261629 | + | 1.81967i | 0.520622 | + | 0.853788i | \(0.325700\pi\) |
−0.258993 | + | 0.965879i | \(0.583391\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −2.45249 | − | 4.24784i | −0.103177 | − | 0.178708i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 22.0995 | − | 1.24769i | 0.928094 | − | 0.0523980i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 24.2621 | + | 17.2770i | 1.01712 | + | 0.724289i | 0.961680 | − | 0.274173i | \(-0.0884040\pi\) |
0.0554414 | + | 0.998462i | \(0.482343\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −0.750998 | + | 15.7654i | −0.0314283 | + | 0.659761i | 0.927109 | + | 0.374793i | \(0.122286\pi\) |
−0.958537 | + | 0.284968i | \(0.908017\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 6.73741 | − | 0.496766i | 0.281460 | − | 0.0207527i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.700119 | + | 0.169847i | 0.0291970 | + | 0.00708312i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 7.92014 | − | 41.0936i | 0.329720 | − | 1.71075i | −0.317343 | − | 0.948311i | \(-0.602791\pi\) |
0.647063 | − | 0.762437i | \(-0.275997\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 47.2981 | + | 5.54968i | 1.96564 | + | 0.230637i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −21.2694 | − | 13.6690i | −0.882405 | − | 0.567087i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 32.3537 | + | 16.6795i | 1.33995 | + | 0.690793i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −44.3314 | − | 8.34209i | −1.83288 | − | 0.344903i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −26.8181 | − | 21.0900i | −1.10690 | − | 0.870477i | −0.114489 | − | 0.993425i | \(-0.536523\pi\) |
−0.992413 | + | 0.122947i | \(0.960765\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.959209 | − | 0.831159i | 0.0395235 | − | 0.0342473i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −19.7309 | + | 21.8008i | −0.811620 | + | 0.896767i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −26.4914 | + | 13.6573i | −1.08787 | + | 0.560837i | −0.906341 | − | 0.422548i | \(-0.861136\pi\) |
−0.181532 | + | 0.983385i | \(0.558105\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.80822 | − | 0.824569i | 0.115126 | − | 0.0338040i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 4.57555 | + | 20.8130i | 0.187265 | + | 0.851818i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 4.85131 | − | 14.0169i | 0.198219 | − | 0.572717i | −0.801460 | − | 0.598049i | \(-0.795943\pi\) |
0.999679 | + | 0.0253316i | \(0.00806417\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 22.9200 | + | 32.1867i | 0.934927 | + | 1.31292i | 0.949743 | + | 0.313031i | \(0.101344\pi\) |
−0.0148163 | + | 0.999890i | \(0.504716\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −18.4415 | − | 16.2145i | −0.750996 | − | 0.660307i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 4.32259 | + | 6.07023i | 0.175738 | + | 0.246790i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −4.68718 | + | 13.5427i | −0.190247 | + | 0.549682i | −0.999274 | − | 0.0380889i | \(-0.987873\pi\) |
0.809028 | + | 0.587771i | \(0.199994\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −2.65120 | − | 12.0596i | −0.107432 | − | 0.488679i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −78.9903 | + | 23.1937i | −3.19561 | + | 0.938315i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 14.1715 | − | 7.30591i | 0.572381 | − | 0.295083i | −0.147633 | − | 0.989042i | \(-0.547165\pi\) |
0.720014 | + | 0.693959i | \(0.244135\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −16.3783 | + | 18.0965i | −0.660435 | + | 0.729722i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −10.1060 | + | 8.75690i | −0.406852 | + | 0.352539i | −0.834117 | − | 0.551587i | \(-0.814022\pi\) |
0.427265 | + | 0.904126i | \(0.359477\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −35.1858 | − | 27.6704i | −1.41424 | − | 1.11217i | −0.977102 | − | 0.212770i | \(-0.931751\pi\) |
−0.437133 | − | 0.899397i | \(-0.644006\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 4.19358 | + | 9.61709i | 0.168283 | + | 0.385920i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −4.53723 | − | 2.33911i | −0.181780 | − | 0.0937143i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.4234 | − | 12.4827i | −0.776937 | − | 0.499307i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −13.2170 | − | 1.55081i | −0.527836 | − | 0.0619333i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 0.285868 | − | 1.48323i | 0.0113983 | − | 0.0591401i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 32.3998 | + | 7.86012i | 1.28982 | + | 0.312906i | 0.821274 | − | 0.570534i | \(-0.193264\pi\) |
0.468544 | + | 0.883440i | \(0.344779\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −32.6543 | + | 2.40768i | −1.29789 | + | 0.0956967i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −1.58624 | + | 33.2993i | −0.0629480 | + | 1.32144i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −5.40724 | − | 3.85048i | −0.214243 | − | 0.152562i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 11.8142 | + | 25.5711i | 0.467361 | + | 1.01158i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −5.04283 | − | 8.73443i | −0.199180 | − | 0.344989i | 0.749083 | − | 0.662476i | \(-0.230494\pi\) |
−0.948263 | + | 0.317487i | \(0.897161\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 1.46628 | + | 10.1982i | 0.0578245 | + | 0.402178i | 0.998092 | + | 0.0617419i | \(0.0196656\pi\) |
−0.940268 | + | 0.340436i | \(0.889425\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 2.95118 | − | 0.950550i | 0.116203 | − | 0.0374279i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 2.21980 | + | 46.5994i | 0.0872694 | + | 1.83201i | 0.441969 | + | 0.897030i | \(0.354280\pi\) |
−0.354700 | + | 0.934980i | \(0.615417\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 22.6253 | + | 28.7704i | 0.888120 | + | 1.12934i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.929879 | + | 1.69408i | 0.0364448 | + | 0.0663961i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −14.8700 | − | 42.9640i | −0.581907 | − | 1.68131i | −0.722607 | − | 0.691259i | \(-0.757056\pi\) |
0.140700 | − | 0.990052i | \(-0.455065\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −12.7194 | + | 5.80875i | −0.496988 | + | 0.226967i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 11.6488 | + | 28.7304i | 0.454464 | + | 1.12088i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −9.29668 | − | 23.2220i | −0.362147 | − | 0.904600i | −0.991809 | − | 0.127731i | \(-0.959231\pi\) |
0.629662 | − | 0.776870i | \(-0.283194\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.56815 | − | 0.716148i | −0.0609938 | − | 0.0278549i | 0.384685 | − | 0.923048i | \(-0.374310\pi\) |
−0.445678 | + | 0.895193i | \(0.647037\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 4.26119 | + | 5.13782i | 0.165491 | + | 0.199537i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 14.6759 | + | 2.11008i | 0.569107 | + | 0.0818253i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 4.92354 | − | 3.16417i | 0.190640 | − | 0.122517i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −16.2588 | − | 23.9089i | −0.628600 | − | 0.924370i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 16.6305i | 0.642013i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.62999 | − | 2.53631i | −0.0628314 | − | 0.0977675i | 0.808416 | − | 0.588611i | \(-0.200325\pi\) |
−0.871248 | + | 0.490844i | \(0.836689\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0.144463 | + | 1.84837i | 0.00556036 | + | 0.0711437i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −29.1487 | + | 2.78336i | −1.12028 | + | 0.106973i | −0.638718 | − | 0.769441i | \(-0.720535\pi\) |
−0.481558 | + | 0.876414i | \(0.659929\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 8.63441 | − | 18.9067i | 0.331358 | − | 0.725574i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −5.99559 | + | 8.90058i | −0.229751 | + | 0.341071i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 5.63357 | − | 5.37160i | 0.215563 | − | 0.205539i | −0.574602 | − | 0.818433i | \(-0.694843\pi\) |
0.790165 | + | 0.612894i | \(0.209995\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 10.9848 | + | 24.0534i | 0.419708 | + | 0.919032i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −4.35540 | − | 3.24549i | −0.166169 | − | 0.123823i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 8.79196 | − | 92.0736i | 0.334947 | − | 3.50772i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −11.2652 | + | 8.85907i | −0.428549 | + | 0.337015i | −0.809023 | − | 0.587777i | \(-0.800003\pi\) |
0.380474 | + | 0.924792i | \(0.375761\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 6.54283 | − | 19.1768i | 0.248542 | − | 0.728466i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −6.05256 | + | 20.6131i | −0.229587 | + | 0.781901i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 3.57489 | − | 0.513991i | 0.135408 | − | 0.0194688i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 5.02383 | − | 10.4001i | 0.190019 | − | 0.393369i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −18.2157 | − | 17.3687i | −0.687999 | − | 0.656006i | 0.263144 | − | 0.964757i | \(-0.415241\pi\) |
−0.951143 | + | 0.308751i | \(0.900089\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 4.43870 | − | 6.23329i | 0.167409 | − | 0.235093i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −22.9996 | − | 37.5472i | −0.866215 | − | 1.41411i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 1.56689 | + | 0.904646i | 0.0589291 | + | 0.0340227i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −6.67711 | + | 27.5234i | −0.250764 | + | 1.03366i | 0.697602 | + | 0.716486i | \(0.254250\pi\) |
−0.948366 | + | 0.317178i | \(0.897265\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 11.5334 | + | 7.34056i | 0.432535 | + | 0.275293i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −0.599844 | + | 0.692257i | −0.0224643 | + | 0.0259252i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −22.3249 | + | 34.7382i | −0.834904 | + | 1.29914i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −5.23150 | − | 42.9530i | −0.195374 | − | 1.60411i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 0.513994 | + | 2.66685i | 0.0191687 | + | 0.0994569i | 0.990253 | − | 0.139280i | \(-0.0444788\pi\) |
−0.971084 | + | 0.238737i | \(0.923267\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −19.6787 | + | 25.0235i | −0.732874 | + | 0.931925i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −0.0289210 | + | 0.108892i | −0.00107559 | + | 0.00404975i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 1.00508 | − | 0.243829i | 0.0373277 | − | 0.00905560i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 16.5228 | + | 32.0498i | 0.612798 | + | 1.18866i | 0.967307 | + | 0.253610i | \(0.0816179\pi\) |
−0.354508 | + | 0.935053i | \(0.615352\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −20.1701 | + | 17.9490i | −0.747042 | + | 0.664777i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.425922 | − | 0.170513i | −0.0157533 | − | 0.00630667i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 6.38116 | + | 2.20854i | 0.235694 | + | 0.0815743i | 0.442362 | − | 0.896837i | \(-0.354141\pi\) |
−0.206668 | + | 0.978411i | \(0.566262\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 1.23341 | − | 3.32925i | 0.0454951 | − | 0.122801i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −20.0983 | + | 10.0673i | −0.740330 | + | 0.370835i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −9.54596 | + | 6.79764i | −0.351154 | + | 0.250055i | −0.741999 | − | 0.670401i | \(-0.766122\pi\) |
0.390845 | + | 0.920456i | \(0.372183\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 8.82372 | + | 32.6432i | 0.324147 | + | 1.19918i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 13.4166 | − | 33.5130i | 0.492207 | − | 1.22947i | −0.449573 | − | 0.893244i | \(-0.648424\pi\) |
0.941780 | − | 0.336230i | \(-0.109152\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 12.0652 | + | 41.0902i | 0.442034 | + | 1.50543i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 30.6875 | − | 3.06658i | 1.12280 | − | 0.112200i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −2.81591 | − | 11.6073i | −0.102891 | − | 0.424122i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −24.0876 | − | 27.7986i | −0.878971 | − | 1.01439i | −0.999764 | − | 0.0217085i | \(-0.993089\pi\) |
0.120794 | − | 0.992678i | \(-0.461456\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 2.98000 | − | 42.9947i | 0.108597 | − | 1.56681i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 17.8859 | − | 3.44722i | 0.650934 | − | 0.125457i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −16.4736 | + | 31.9542i | −0.598742 | + | 1.16140i | 0.373547 | + | 0.927611i | \(0.378142\pi\) |
−0.972288 | + | 0.233785i | \(0.924889\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 9.60084 | − | 0.249673i | 0.348489 | − | 0.00906255i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −0.118608 | − | 0.102774i | −0.00429952 | − | 0.00372556i | 0.652708 | − | 0.757609i | \(-0.273633\pi\) |
−0.657008 | + | 0.753884i | \(0.728178\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 17.8315 | + | 3.43674i | 0.645544 | + | 0.124418i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −2.05804 | + | 2.91719i | −0.0744087 | + | 0.105471i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 46.5016 | − | 80.5431i | 1.67908 | − | 2.90824i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −46.3240 | − | 2.20669i | −1.67049 | − | 0.0795751i | −0.809148 | − | 0.587605i | \(-0.800071\pi\) |
−0.861340 | + | 0.508030i | \(0.830374\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −0.556839 | + | 25.7750i | −0.0200541 | + | 0.928264i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −28.4381 | + | 29.8250i | −1.02285 | + | 1.07273i | −0.0255199 | + | 0.999674i | \(0.508124\pi\) |
−0.997328 | + | 0.0730574i | \(0.976724\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.140180 | + | 0.0809331i | −0.00503542 | + | 0.00290720i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 7.85624 | + | 8.60406i | 0.281841 | + | 0.308669i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 17.5552 | + | 5.15467i | 0.628980 | + | 0.184685i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 25.7562 | − | 1.22692i | 0.921631 | − | 0.0439027i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 11.6773 | + | 9.51273i | 0.417313 | + | 0.339957i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 3.79908 | + | 0.362768i | 0.135595 | + | 0.0129478i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 23.0071 | − | 7.96283i | 0.820114 | − | 0.283844i | 0.115385 | − | 0.993321i | \(-0.463190\pi\) |
0.704729 | + | 0.709477i | \(0.251069\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −19.8595 | − | 12.0452i | −0.707018 | − | 0.428820i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −3.86331 | − | 4.05172i | −0.137363 | − | 0.144063i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 39.2310 | − | 15.7057i | 1.39313 | − | 0.557727i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 48.7664 | − | 8.31080i | 1.72956 | − | 0.294754i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 2.68671 | + | 28.1365i | 0.0951681 | + | 0.996645i | 0.909349 | + | 0.416034i | \(0.136580\pi\) |
−0.814181 | + | 0.580611i | \(0.802814\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.927243 | + | 6.44912i | −0.0328035 | + | 0.228153i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 6.10895 | − | 1.20530i | 0.215849 | − | 0.0425871i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 28.3795 | 1.00149 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −10.7004 | −0.377141 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −6.20980 | + | 14.5898i | −0.218595 | + | 0.513587i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −1.33803 | + | 9.30620i | −0.0470426 | + | 0.327188i | 0.952687 | + | 0.303952i | \(0.0983062\pi\) |
−0.999730 | + | 0.0232366i | \(0.992603\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 2.07284 | + | 21.7078i | 0.0727873 | + | 0.762263i | 0.956015 | + | 0.293318i | \(0.0947596\pi\) |
−0.883227 | + | 0.468945i | \(0.844634\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −3.42194 | − | 20.0794i | −0.120013 | − | 0.704214i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −15.1503 | + | 6.06525i | −0.530690 | + | 0.212456i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −1.60386 | − | 1.68208i | −0.0561120 | − | 0.0588486i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −51.4166 | + | 2.67602i | −1.79664 | + | 0.0935077i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −30.1184 | + | 10.4241i | −1.05114 | + | 0.363803i | −0.797388 | − | 0.603466i | \(-0.793786\pi\) |
−0.253751 | + | 0.967269i | \(0.581665\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −11.0091 | − | 1.05125i | −0.383755 | − | 0.0366441i | −0.0986037 | − | 0.995127i | \(-0.531438\pi\) |
−0.285151 | + | 0.958483i | \(0.592044\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 1.61771 | + | 0.513206i | 0.0563214 | + | 0.0178675i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −28.6623 | + | 1.36535i | −0.996685 | + | 0.0474780i | −0.539580 | − | 0.841934i | \(-0.681417\pi\) |
−0.457106 | + | 0.889412i | \(0.651114\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −11.4805 | − | 3.37097i | −0.398733 | − | 0.117079i | 0.0762173 | − | 0.997091i | \(-0.475716\pi\) |
−0.474950 | + | 0.880013i | \(0.657534\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −14.5636 | + | 13.2978i | −0.505206 | + | 0.461297i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −0.454974 | + | 0.262679i | −0.0157639 | + | 0.00910130i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −18.0209 | + | 18.8998i | −0.623639 | + | 0.654054i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −2.17302 | − | 0.913622i | −0.0751106 | − | 0.0315794i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 7.50028 | + | 0.357283i | 0.258939 | + | 0.0123348i | 0.176650 | − | 0.984274i | \(-0.443474\pi\) |
0.0822887 | + | 0.996609i | \(0.473777\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −10.2990 | + | 17.8385i | −0.355139 | + | 0.615119i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 32.5572 | − | 12.2248i | 1.12133 | − | 0.421046i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 75.5239 | + | 14.5560i | 2.59810 | + | 0.500743i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 6.42798 | + | 5.56988i | 0.220868 | + | 0.191383i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0.0317232 | + | 1.21987i | 0.00108874 | + | 0.0418660i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −2.53058 | + | 4.90864i | −0.0867471 | + | 0.168266i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 7.14229 | − | 1.37656i | 0.244547 | − | 0.0471327i | −0.0655045 | − | 0.997852i | \(-0.520866\pi\) |
0.310052 | + | 0.950720i | \(0.399654\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −15.6228 | + | 9.11171i | −0.534289 | + | 0.311614i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 2.53153 | + | 2.92154i | 0.0864755 | + | 0.0997980i | 0.797338 | − | 0.603533i | \(-0.206241\pi\) |
−0.710863 | + | 0.703331i | \(0.751695\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1.00173 | − | 4.12919i | −0.0341786 | − | 0.140886i | 0.952166 | − | 0.305582i | \(-0.0988510\pi\) |
−0.986344 | + | 0.164696i | \(0.947336\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −13.2971 | + | 24.4796i | −0.453163 | + | 0.834263i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −1.22638 | − | 4.17668i | −0.0417466 | − | 0.142176i | 0.935983 | − | 0.352046i | \(-0.114514\pi\) |
−0.977729 | + | 0.209870i | \(0.932696\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 16.7783 | − | 41.9101i | 0.570478 | − | 1.42499i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −27.9148 | + | 7.54558i | −0.948035 | + | 0.256261i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 10.1942 | − | 7.25924i | 0.345814 | − | 0.246253i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 42.7293 | + | 37.9039i | 1.44783 | + | 1.28433i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 6.08567 | + | 24.6124i | 0.205969 | + | 0.833004i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −26.8274 | − | 9.28505i | −0.906931 | − | 0.313892i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −33.1871 | − | 13.2861i | −1.12065 | − | 0.448641i | −0.263992 | − | 0.964525i | \(-0.585039\pi\) |
−0.856658 | + | 0.515884i | \(0.827463\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −18.3861 | + | 22.3681i | −0.620147 | + | 0.754457i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 3.25892 | + | 6.32142i | 0.109796 | + | 0.212974i | 0.937331 | − | 0.348439i | \(-0.113288\pi\) |
−0.827536 | + | 0.561413i | \(0.810258\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −3.38521 | + | 0.821244i | −0.113922 | + | 0.0276371i | −0.292314 | − | 0.956322i | \(-0.594425\pi\) |
0.178393 | + | 0.983959i | \(0.442910\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 48.0759 | + | 12.7686i | 1.61605 | + | 0.429213i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 6.30023 | − | 8.01140i | 0.211541 | − | 0.268996i | −0.668690 | − | 0.743541i | \(-0.733145\pi\) |
0.880231 | + | 0.474545i | \(0.157387\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 7.20094 | + | 37.3620i | 0.241512 | + | 1.25308i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 8.28896 | + | 23.2845i | 0.277690 | + | 0.780061i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −17.8448 | + | 27.7670i | −0.597152 | + | 0.929187i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 13.5701 | − | 15.6607i | 0.453598 | − | 0.523480i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −9.65594 | − | 22.4124i | −0.322402 | − | 0.748328i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −0.310017 | + | 1.27791i | −0.0103396 | + | 0.0426206i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −6.33940 | − | 3.66005i | −0.211196 | − | 0.121934i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 3.01764 | − | 1.84846i | 0.100421 | − | 0.0615129i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 8.26515 | − | 11.6068i | 0.274743 | − | 0.385822i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −1.53755 | − | 1.46605i | −0.0510534 | − | 0.0486793i | 0.664123 | − | 0.747623i | \(-0.268805\pi\) |
−0.715176 | + | 0.698944i | \(0.753654\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −2.18311 | + | 0.323692i | −0.0724092 | + | 0.0107362i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −29.7778 | + | 4.28140i | −0.986583 | + | 0.141849i | −0.616674 | − | 0.787219i | \(-0.711520\pi\) |
−0.369909 | + | 0.929068i | \(0.620611\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 7.95369 | − | 27.0878i | 0.263229 | − | 0.896474i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 13.5844 | + | 18.0637i | 0.449088 | + | 0.597169i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −12.5452 | + | 9.86562i | −0.414278 | + | 0.325791i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −1.50036 | + | 15.7125i | −0.0494923 | + | 0.518306i | 0.936401 | + | 0.350932i | \(0.114135\pi\) |
−0.985893 | + | 0.167375i | \(0.946471\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 11.4299 | − | 15.3387i | 0.376627 | − | 0.505428i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −27.2183 | − | 59.5997i | −0.895901 | − | 1.96175i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.706294 | + | 0.673450i | −0.0232228 | + | 0.0221429i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −0.170819 | − | 38.8313i | −0.00561044 | − | 1.27539i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −17.5384 | + | 38.4038i | −0.575418 | + | 1.25999i | 0.368445 | + | 0.929650i | \(0.379890\pi\) |
−0.943862 | + | 0.330339i | \(0.892837\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −2.64937 | + | 0.252984i | −0.0868297 | + | 0.00829123i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −20.2467 | + | 9.89035i | −0.662848 | + | 0.323796i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 1.76685 | + | 2.74928i | 0.0577823 | + | 0.0899110i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 41.0031i | − | 1.33951i | −0.742581 | − | 0.669756i | \(-0.766399\pi\) | ||
0.742581 | − | 0.669756i | \(-0.233601\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 18.9217 | − | 12.8673i | 0.617486 | − | 0.419910i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −37.4772 | + | 24.0851i | −1.22172 | + | 0.785152i | −0.982581 | − | 0.185833i | \(-0.940502\pi\) |
−0.239139 | + | 0.970985i | \(0.576865\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −13.0700 | − | 1.87918i | −0.425616 | − | 0.0611944i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −8.55765 | − | 26.1739i | −0.278380 | − | 0.851437i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 15.7829 | + | 7.20782i | 0.512876 | + | 0.234223i | 0.655004 | − | 0.755626i | \(-0.272667\pi\) |
−0.142128 | + | 0.989848i | \(0.545394\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −26.8013 | − | 66.9465i | −0.870009 | − | 2.17318i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −2.59580 | + | 12.0603i | −0.0841745 | + | 0.391083i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 35.4125 | − | 16.1724i | 1.14712 | − | 0.523874i | 0.251136 | − | 0.967952i | \(-0.419196\pi\) |
0.895988 | + | 0.444078i | \(0.146469\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −2.74888 | − | 7.94238i | −0.0889518 | − | 0.257009i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 12.0864 | − | 6.63422i | 0.390698 | − | 0.214454i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 18.6566 | + | 23.7239i | 0.602455 | + | 0.766083i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 1.46525 | + | 30.7593i | 0.0472660 | + | 0.992236i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 11.4918 | + | 8.95569i | 0.370317 | + | 0.288593i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −8.43161 | − | 58.6431i | −0.271423 | − | 1.88779i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −26.8720 | − | 46.5436i | −0.864145 | − | 1.49674i | −0.867894 | − | 0.496750i | \(-0.834527\pi\) |
0.00374909 | − | 0.999993i | \(-0.498807\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 2.64011 | + | 0.437987i | 0.0848125 | + | 0.0140702i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −9.99233 | − | 7.11551i | −0.320669 | − | 0.228348i | 0.408375 | − | 0.912814i | \(-0.366096\pi\) |
−0.729044 | + | 0.684467i | \(0.760035\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −1.16672 | + | 24.4925i | −0.0374034 | + | 0.785194i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −0.317109 | − | 4.30081i | −0.0101556 | − | 0.137736i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 25.7156 | + | 6.23853i | 0.822714 | + | 0.199588i | 0.624954 | − | 0.780662i | \(-0.285118\pi\) |
0.197761 | + | 0.980250i | \(0.436633\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.07873 | − | 5.59696i | 0.0344762 | − | 0.178880i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −19.6439 | + | 10.2368i | −0.627183 | + | 0.326835i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −20.3730 | − | 13.0929i | −0.649799 | − | 0.417600i | 0.173794 | − | 0.984782i | \(-0.444397\pi\) |
−0.823593 | + | 0.567182i | \(0.808034\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 32.5142 | + | 16.7622i | 1.03599 | + | 0.534089i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −35.6143 | − | 35.4580i | −1.13362 | − | 1.12864i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 1.31848 | + | 1.03687i | 0.0419253 | + | 0.0329704i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 21.8626 | − | 18.9441i | 0.694490 | − | 0.601779i | −0.234398 | − | 0.972141i | \(-0.575312\pi\) |
0.928887 | + | 0.370362i | \(0.120766\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 21.0706 | + | 19.0700i | 0.668656 | + | 0.605168i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 23.5642 | − | 12.1482i | 0.747035 | − | 0.385123i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −19.8213 | + | 5.82007i | −0.627748 | + | 0.184324i | −0.580106 | − | 0.814541i | \(-0.696989\pi\) |
−0.0476422 | + | 0.998864i | \(0.515171\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −14.0306 | − | 2.26427i | −0.443909 | − | 0.0716384i |
(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 | 804.2.ba.b.41.19 | yes | 440 | |
3.2 | odd | 2 | inner | 804.2.ba.b.41.12 | ✓ | 440 | |
67.18 | odd | 66 | inner | 804.2.ba.b.353.12 | yes | 440 | |
201.152 | even | 66 | inner | 804.2.ba.b.353.19 | yes | 440 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.ba.b.41.12 | ✓ | 440 | 3.2 | odd | 2 | inner | |
804.2.ba.b.41.19 | yes | 440 | 1.1 | even | 1 | trivial | |
804.2.ba.b.353.12 | yes | 440 | 67.18 | odd | 66 | inner | |
804.2.ba.b.353.19 | yes | 440 | 201.152 | even | 66 | inner |