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 | 353.12 | ||
Character | \(\chi\) | \(=\) | 804.353 |
Dual form | 804.2.ba.b.41.12 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{66}\right)\) | \(1\) |
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 | ||||||||
\(3\) | −0.0450273 | − | 1.73147i | −0.0259965 | − | 0.999662i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.306661 | − | 2.13288i | −0.137143 | − | 0.953851i | −0.935917 | − | 0.352220i | \(-0.885427\pi\) |
0.798774 | − | 0.601631i | \(-0.205482\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.233782 | + | 2.44828i | −0.0883614 | + | 0.925362i | 0.837233 | + | 0.546846i | \(0.184172\pi\) |
−0.925595 | + | 0.378516i | \(0.876434\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.99595 | + | 0.155926i | −0.998648 | + | 0.0519754i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.54950 | − | 1.02066i | −0.768702 | − | 0.307742i | −0.0460363 | − | 0.998940i | \(-0.514659\pi\) |
−0.722665 | + | 0.691198i | \(0.757083\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.81545 | + | 5.05030i | −1.33557 | + | 1.40070i | −0.485299 | + | 0.874348i | \(0.661289\pi\) |
−0.850267 | + | 0.526352i | \(0.823559\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −3.67919 | + | 0.627011i | −0.949963 | + | 0.161893i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.521893 | + | 0.180629i | 0.126578 | + | 0.0438090i | 0.389622 | − | 0.920975i | \(-0.372605\pi\) |
−0.263045 | + | 0.964784i | \(0.584727\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.78507 | + | 0.265942i | −0.638940 | + | 0.0610113i | −0.409498 | − | 0.912311i | \(-0.634296\pi\) |
−0.229442 | + | 0.973322i | \(0.573690\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.24964 | + | 0.294547i | 0.927347 | + | 0.0642754i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.01683 | − | 0.0960734i | −0.420538 | − | 0.0200327i | −0.163753 | − | 0.986501i | \(-0.552360\pi\) |
−0.256785 | + | 0.966469i | \(0.582663\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.342350 | − | 0.100523i | 0.0684700 | − | 0.0201046i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.404880 | + | 5.18035i | 0.0779192 | + | 0.996960i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.51027 | − | 1.44930i | −0.466145 | − | 0.269129i | 0.248480 | − | 0.968637i | \(-0.420069\pi\) |
−0.714625 | + | 0.699508i | \(0.753402\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.313059 | − | 0.328327i | −0.0562271 | − | 0.0589693i | 0.695020 | − | 0.718991i | \(-0.255396\pi\) |
−0.751247 | + | 0.660021i | \(0.770547\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.65245 | + | 4.46032i | −0.287654 | + | 0.776442i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 5.29357 | − | 0.252164i | 0.894776 | − | 0.0426234i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.36757 | − | 2.36869i | −0.224826 | − | 0.389411i | 0.731441 | − | 0.681905i | \(-0.238848\pi\) |
−0.956267 | + | 0.292494i | \(0.905515\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 8.96124 | + | 8.11038i | 1.43495 | + | 1.29870i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 6.42149 | − | 1.23764i | 1.00287 | − | 0.193287i | 0.338720 | − | 0.940887i | \(-0.390006\pi\) |
0.664149 | + | 0.747600i | \(0.268794\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.627825 | − | 0.544013i | 0.0957424 | − | 0.0829613i | −0.605674 | − | 0.795713i | \(-0.707097\pi\) |
0.701417 | + | 0.712751i | \(0.252551\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.25131 | + | 6.34216i | 0.186534 | + | 0.945433i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −5.40598 | − | 10.4861i | −0.788543 | − | 1.52956i | −0.847195 | − | 0.531282i | \(-0.821711\pi\) |
0.0586520 | − | 0.998278i | \(-0.481320\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.934085 | + | 0.180030i | 0.133441 | + | 0.0257186i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.289253 | − | 0.911773i | 0.0405036 | − | 0.127674i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −8.67995 | + | 10.0172i | −1.19228 | + | 1.37597i | −0.283353 | + | 0.959016i | \(0.591447\pi\) |
−0.908929 | + | 0.416951i | \(0.863099\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.39512 | + | 5.75075i | −0.188118 | + | 0.775431i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.585874 | + | 4.81028i | 0.0776009 | + | 0.637138i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.75489 | + | 12.7880i | −0.488845 | + | 1.66485i | 0.232750 | + | 0.972536i | \(0.425227\pi\) |
−0.721595 | + | 0.692315i | \(0.756591\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.25071 | − | 5.62201i | −0.288174 | − | 0.719824i | −0.999850 | − | 0.0173163i | \(-0.994488\pi\) |
0.711676 | − | 0.702508i | \(-0.247936\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.318648 | − | 7.37136i | 0.0401459 | − | 0.928704i | ||||
\(64\) | 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 | ||||||||
\(69\) | −0.0755355 | + | 3.49640i | −0.00909341 | + | 0.420917i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −8.87305 | + | 3.07099i | −1.05304 | + | 0.364460i | −0.798117 | − | 0.602502i | \(-0.794170\pi\) |
−0.254920 | + | 0.966962i | \(0.582049\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 9.59379 | − | 3.84077i | 1.12287 | − | 0.449528i | 0.265437 | − | 0.964128i | \(-0.414484\pi\) |
0.857431 | + | 0.514600i | \(0.172059\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.189467 | − | 0.588241i | −0.0218778 | − | 0.0679242i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 3.09490 | − | 6.00326i | 0.352696 | − | 0.684135i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.42862 | + | 1.07437i | 0.498259 | + | 0.120876i | 0.477010 | − | 0.878898i | \(-0.341721\pi\) |
0.0212489 | + | 0.999774i | \(0.493236\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 8.95137 | − | 0.934293i | 0.994597 | − | 0.103810i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −6.35474 | − | 8.08070i | −0.697523 | − | 0.886972i | 0.300237 | − | 0.953865i | \(-0.402934\pi\) |
−0.997760 | + | 0.0668921i | \(0.978692\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.225215 | − | 1.16852i | 0.0244280 | − | 0.126744i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.39639 | + | 4.41170i | −0.256920 | + | 0.472984i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.12214 | − | 1.74608i | −0.118947 | − | 0.185084i | 0.776675 | − | 0.629902i | \(-0.216905\pi\) |
−0.895621 | + | 0.444817i | \(0.853269\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −11.2388 | − | 12.9702i | −1.17814 | − | 1.35965i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.554391 | + | 0.556835i | −0.0574876 | + | 0.0577411i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 1.42130 | + | 5.85866i | 0.145822 | + | 0.601086i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 7.31896 | − | 4.22560i | 0.743128 | − | 0.429045i | −0.0800776 | − | 0.996789i | \(-0.525517\pi\) |
0.823205 | + | 0.567744i | \(0.192183\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 7.79730 | + | 2.66032i | 0.783658 | + | 0.267372i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 0.426724 | + | 0.599250i | 0.0424607 | + | 0.0596276i | 0.835260 | − | 0.549854i | \(-0.185317\pi\) |
−0.792800 | + | 0.609482i | \(0.791377\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −9.36794 | + | 8.93231i | −0.923050 | + | 0.880127i | −0.993083 | − | 0.117418i | \(-0.962538\pi\) |
0.0700322 | + | 0.997545i | \(0.477690\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.674967 | − | 9.15427i | −0.0658701 | − | 0.893365i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −4.80701 | − | 0.691144i | −0.464711 | − | 0.0668154i | −0.0940174 | − | 0.995571i | \(-0.529971\pi\) |
−0.370694 | + | 0.928755i | \(0.620880\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.08024 | − | 7.08464i | −0.199251 | − | 0.678586i | −0.997126 | − | 0.0757630i | \(-0.975861\pi\) |
0.797875 | − | 0.602823i | \(-0.205957\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −4.03973 | + | 2.47455i | −0.383434 | + | 0.234874i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1.78929 | − | 1.40711i | −0.168322 | − | 0.132370i | 0.530445 | − | 0.847720i | \(-0.322025\pi\) |
−0.698767 | + | 0.715350i | \(0.746267\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.413571 | + | 4.33111i | 0.0385657 | + | 0.403878i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 13.6393 | − | 15.8813i | 1.26096 | − | 1.46822i | ||||
\(118\) | 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 | ||||||||
\(123\) | −2.43207 | − | 11.0629i | −0.219293 | − | 0.997505i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −4.79509 | − | 10.4998i | −0.428886 | − | 0.939128i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −15.4009 | − | 1.47061i | −1.36661 | − | 0.130496i | −0.614181 | − | 0.789165i | \(-0.710513\pi\) |
−0.752432 | + | 0.658670i | \(0.771120\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −0.970210 | − | 1.06256i | −0.0854222 | − | 0.0935534i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 3.50834 | − | 5.45908i | 0.306525 | − | 0.476962i | −0.653481 | − | 0.756943i | \(-0.726692\pi\) |
0.960005 | + | 0.279981i | \(0.0903283\pi\) | |||||||
\(132\) | 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 | \(-0.142540\pi\) |
−0.0194019 | + | 0.999812i | \(0.506176\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −9.86849 | + | 1.41887i | −0.837034 | + | 0.120347i | −0.547485 | − | 0.836816i | \(-0.684415\pi\) |
−0.289549 | + | 0.957163i | \(0.593505\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −17.9130 | + | 9.83243i | −1.50854 | + | 0.828040i | ||||
\(142\) | 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 | ||||||||
\(147\) | 0.269657 | − | 1.62544i | 0.0222409 | − | 0.134064i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 18.0782 | + | 8.25602i | 1.48102 | + | 0.676359i | 0.981766 | − | 0.190096i | \(-0.0608799\pi\) |
0.499255 | + | 0.866455i | \(0.333607\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.76478 | − | 7.98830i | 0.224994 | − | 0.650079i | −0.774845 | − | 0.632151i | \(-0.782172\pi\) |
0.999839 | − | 0.0179272i | \(-0.00570670\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −1.59173 | − | 0.459778i | −0.128684 | − | 0.0371708i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.604278 | + | 0.768401i | −0.0485367 | + | 0.0617195i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.0842720 | − | 1.76909i | 0.00672563 | − | 0.141188i | −0.993007 | − | 0.118057i | \(-0.962333\pi\) |
0.999732 | − | 0.0231313i | \(-0.00736357\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 17.7353 | + | 14.5780i | 1.40650 | + | 1.15611i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.706714 | − | 4.91530i | 0.0556968 | − | 0.387380i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.78670 | + | 6.55876i | −0.296598 | + | 0.513722i | −0.975355 | − | 0.220640i | \(-0.929185\pi\) |
0.678758 | + | 0.734362i | \(0.262519\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 10.0200 | + | 2.15666i | 0.780060 | + | 0.167896i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 9.87190 | − | 7.02975i | 0.763910 | − | 0.543978i | −0.130381 | − | 0.991464i | \(-0.541620\pi\) |
0.894291 | + | 0.447486i | \(0.147681\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.69839 | − | 35.6536i | −0.130646 | − | 2.74259i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 8.30246 | − | 1.23101i | 0.634905 | − | 0.0941380i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −20.3597 | + | 4.93922i | −1.54792 | + | 0.375522i | −0.916537 | − | 0.399949i | \(-0.869028\pi\) |
−0.631384 | + | 0.775471i | \(0.717513\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.166073 | + | 0.861669i | 0.0125539 | + | 0.0651361i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 22.3110 | + | 5.92565i | 1.67700 | + | 0.445399i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −8.09006 | + | 5.19917i | −0.604679 | + | 0.388604i | −0.806859 | − | 0.590745i | \(-0.798834\pi\) |
0.202179 | + | 0.979349i | \(0.435198\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 5.87750 | − | 3.03006i | 0.436871 | − | 0.225223i | −0.225738 | − | 0.974188i | \(-0.572479\pi\) |
0.662609 | + | 0.748965i | \(0.269449\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −9.63297 | + | 4.15017i | −0.712089 | + | 0.306790i | ||||
\(184\) | 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 | ||||||||
\(189\) | −12.7776 | − | 0.219815i | −0.929434 | − | 0.0159892i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −3.46682 | − | 1.78727i | −0.250850 | − | 0.129322i | 0.328216 | − | 0.944603i | \(-0.393553\pi\) |
−0.579067 | + | 0.815280i | \(0.696583\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 26.3811 | + | 7.74620i | 1.89896 | + | 0.557584i | 0.990077 | + | 0.140524i | \(0.0448787\pi\) |
0.908879 | + | 0.417060i | \(0.136939\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 14.5504 | − | 21.6003i | 1.04197 | − | 1.54683i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 5.55240 | + | 16.0426i | 0.395592 | + | 1.14299i | 0.950405 | + | 0.311014i | \(0.100669\pi\) |
−0.554813 | + | 0.831975i | \(0.687210\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 7.13663 | − | 10.0220i | 0.505902 | − | 0.710440i | −0.480092 | − | 0.877218i | \(-0.659397\pi\) |
0.985995 | + | 0.166778i | \(0.0533363\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.815780 | + | 14.1540i | −0.0575407 | + | 0.998343i | ||||
\(202\) | 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 | ||||||||
\(207\) | 6.05729 | − | 0.0266461i | 0.421011 | − | 0.00185203i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 7.37197 | + | 2.16461i | 0.509930 | + | 0.149729i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −16.8027 | − | 8.66237i | −1.15674 | − | 0.596342i | −0.230426 | − | 0.973090i | \(-0.574012\pi\) |
−0.926316 | + | 0.376748i | \(0.877042\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 5.71685 | + | 15.2251i | 0.391712 | + | 1.04321i | ||||
\(214\) | 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 | ||||||||
\(219\) | −7.08215 | − | 16.4384i | −0.478567 | − | 1.11080i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −3.42538 | + | 1.76591i | −0.230416 | + | 0.118788i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −14.0431 | + | 9.02498i | −0.940399 | + | 0.604358i | −0.918508 | − | 0.395403i | \(-0.870605\pi\) |
−0.0218910 | + | 0.999760i | \(0.506969\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −1.00999 | + | 0.354543i | −0.0673325 | + | 0.0236362i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 1.17258 | + | 6.08393i | 0.0778270 | + | 0.403805i | 0.999861 | + | 0.0166949i | \(0.00531440\pi\) |
−0.922034 | + | 0.387110i | \(0.873473\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −3.04756 | + | 0.739331i | −0.201389 | + | 0.0488563i | −0.335184 | − | 0.942153i | \(-0.608799\pi\) |
0.133796 | + | 0.991009i | \(0.457283\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −10.5338 | − | 5.08840i | −0.693073 | − | 0.334792i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −0.317294 | − | 6.66082i | −0.0207866 | − | 0.436365i | −0.985141 | − | 0.171750i | \(-0.945058\pi\) |
0.964354 | − | 0.264616i | \(-0.0852450\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −20.7078 | + | 14.7460i | −1.35083 | + | 0.961921i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 1.66083 | − | 7.71638i | 0.107882 | − | 0.501233i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 12.4911 | − | 21.6352i | 0.807981 | − | 1.39946i | −0.106279 | − | 0.994336i | \(-0.533894\pi\) |
0.914260 | − | 0.405127i | \(-0.132773\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.00925738 | − | 0.0643865i | 0.000596320 | − | 0.00414750i | −0.989521 | − | 0.144388i | \(-0.953879\pi\) |
0.990117 | + | 0.140241i | \(0.0447877\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −2.02075 | − | 15.4569i | −0.129631 | − | 0.991562i | ||||
\(244\) | 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 | ||||||||
\(249\) | −13.7053 | + | 11.3669i | −0.868539 | + | 0.720345i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 8.13828 | − | 23.5140i | 0.513684 | − | 1.48419i | −0.328240 | − | 0.944594i | \(-0.606455\pi\) |
0.841923 | − | 0.539597i | \(-0.181423\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 5.04384 | + | 2.30344i | 0.317103 | + | 0.144816i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −2.03340 | − | 0.337336i | −0.127336 | − | 0.0211248i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −5.53208 | + | 13.8185i | −0.345082 | + | 0.861972i | 0.649723 | + | 0.760171i | \(0.274885\pi\) |
−0.994805 | + | 0.101801i | \(0.967539\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 6.11893 | − | 2.79442i | 0.380212 | − | 0.173637i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 7.74661 | + | 3.95062i | 0.479503 | + | 0.244537i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 13.2735 | − | 1.90845i | 0.818482 | − | 0.117680i | 0.279660 | − | 0.960099i | \(-0.409778\pi\) |
0.538823 | + | 0.842419i | \(0.318869\pi\) | |||||||
\(264\) | 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 | −0.978868 | − | 0.204495i | \(-0.934445\pi\) |
0.592652 | + | 0.805459i | \(0.298081\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −21.9515 | + | 20.0436i | −1.32856 | + | 1.21309i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −0.975420 | − | 0.0931413i | −0.0588200 | − | 0.00561663i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.72997 | − | 10.3572i | −0.284196 | − | 0.622303i | 0.712662 | − | 0.701507i | \(-0.247489\pi\) |
−0.996858 | + | 0.0792046i | \(0.974762\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0.989103 | + | 0.934836i | 0.0592161 | + | 0.0559671i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −14.5314 | − | 13.8556i | −0.866869 | − | 0.826558i | 0.119204 | − | 0.992870i | \(-0.461966\pi\) |
−0.986073 | + | 0.166312i | \(0.946814\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.292674 | − | 0.640866i | 0.0173976 | − | 0.0380955i | −0.900734 | − | 0.434372i | \(-0.856970\pi\) |
0.918131 | + | 0.396276i | \(0.129698\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 10.0801 | − | 2.72472i | 0.597092 | − | 0.161399i | ||||
\(286\) | 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 | ||||||||
\(291\) | −7.64604 | − | 12.4823i | −0.448219 | − | 0.731723i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 4.70974 | + | 16.0399i | 0.275146 | + | 0.937061i | 0.974894 | + | 0.222671i | \(0.0714775\pi\) |
−0.699748 | + | 0.714390i | \(0.746704\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 28.4266 | + | 4.08713i | 1.65506 | + | 0.237962i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 4.25516 | − | 13.6205i | 0.246909 | − | 0.790344i | ||||
\(298\) | 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 | ||||||||
\(303\) | 1.01837 | − | 0.765841i | 0.0585037 | − | 0.0439964i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −11.3008 | + | 6.52454i | −0.647084 | + | 0.373594i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.60375 | + | 10.7328i | 0.148604 | + | 0.612554i | 0.996588 | + | 0.0825328i | \(0.0263009\pi\) |
−0.847984 | + | 0.530021i | \(0.822184\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 15.8878 | + | 15.8181i | 0.903825 | + | 0.899858i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 8.51947 | + | 9.83200i | 0.483095 | + | 0.557521i | 0.944007 | − | 0.329924i | \(-0.107023\pi\) |
−0.460912 | + | 0.887446i | \(0.652478\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 7.14245 | + | 11.1139i | 0.403715 | + | 0.628193i | 0.982275 | − | 0.187447i | \(-0.0600213\pi\) |
−0.578560 | + | 0.815640i | \(0.696385\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −15.8199 | + | 1.58087i | −0.891351 | + | 0.0890722i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −1.34794 | + | 6.99379i | −0.0757080 | + | 0.392810i | 0.924232 | + | 0.381832i | \(0.124707\pi\) |
−0.999940 | + | 0.0109782i | \(0.996505\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.92066 | + | 6.25713i | 0.275504 | + | 0.350332i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −0.980245 | + | 8.35429i | −0.0547119 | + | 0.466291i | ||||
\(322\) | 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 | ||||||||
\(327\) | −12.1731 | + | 3.92086i | −0.673177 | + | 0.216824i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 26.9368 | − | 10.7839i | 1.48507 | − | 0.594534i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 15.5053 | − | 5.36642i | 0.852246 | − | 0.294965i | 0.134195 | − | 0.990955i | \(-0.457155\pi\) |
0.718052 | + | 0.695990i | \(0.245034\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 4.46649 | + | 6.88323i | 0.244762 | + | 0.377199i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 1.04404 | + | 17.6069i | 0.0570420 | + | 0.961970i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −17.8277 | − | 12.6951i | −0.971138 | − | 0.691544i | −0.0198353 | − | 0.999803i | \(-0.506314\pi\) |
−0.951302 | + | 0.308259i | \(0.900254\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −2.35580 | + | 3.16145i | −0.127949 | + | 0.171706i | ||||
\(340\) | 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 | ||||||||
\(345\) | 7.48054 | − | 0.911101i | 0.402739 | − | 0.0490520i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −1.18614 | + | 4.88934i | −0.0636754 | + | 0.262473i | −0.994747 | − | 0.102363i | \(-0.967360\pi\) |
0.931072 | + | 0.364836i | \(0.118875\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −11.0268 | + | 12.7256i | −0.590252 | + | 0.681187i | −0.969777 | − | 0.243995i | \(-0.921542\pi\) |
0.379525 | + | 0.925182i | \(0.376088\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −28.1120 | − | 22.9010i | −1.50051 | − | 1.22236i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −13.7779 | − | 2.65548i | −0.733325 | − | 0.141337i | −0.191100 | − | 0.981571i | \(-0.561206\pi\) |
−0.542224 | + | 0.840234i | \(0.682418\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 9.27106 | + | 17.9834i | 0.492057 | + | 0.954457i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 2.16465 | + | 0.921329i | 0.114566 | + | 0.0487619i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −19.3650 | + | 16.7799i | −1.02205 | + | 0.885609i | −0.993483 | − | 0.113983i | \(-0.963639\pi\) |
−0.0285650 | + | 0.999592i | \(0.509094\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −10.9707 | + | 2.11444i | −0.577407 | + | 0.111286i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −4.01947 | + | 4.44115i | −0.210967 | + | 0.233100i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −11.1339 | − | 19.2845i | −0.582777 | − | 1.00940i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 16.1306 | − | 0.768397i | 0.842012 | − | 0.0401100i | 0.377857 | − | 0.925864i | \(-0.376661\pi\) |
0.464155 | + | 0.885754i | \(0.346358\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −19.0455 | + | 4.70918i | −0.991467 | + | 0.245150i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −22.4957 | − | 23.5928i | −1.16792 | − | 1.22488i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 10.0070 | + | 5.77757i | 0.518145 | + | 0.299151i | 0.736175 | − | 0.676791i | \(-0.236630\pi\) |
−0.218030 | + | 0.975942i | \(0.569963\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −17.9641 | + | 8.77530i | −0.927661 | + | 0.453155i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 19.4075 | − | 5.69855i | 0.999536 | − | 0.293490i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 33.6176 | + | 1.60140i | 1.72682 | + | 0.0822586i | 0.887335 | − | 0.461124i | \(-0.152554\pi\) |
0.839485 | + | 0.543383i | \(0.182857\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −1.85285 | + | 26.7324i | −0.0949245 | + | 1.36954i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −34.1052 | + | 3.25665i | −1.74269 | + | 0.166407i | −0.917312 | − | 0.398170i | \(-0.869645\pi\) |
−0.825380 | + | 0.564577i | \(0.809039\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −13.7533 | − | 4.76006i | −0.700933 | − | 0.242595i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −1.79610 | + | 1.72773i | −0.0913011 | + | 0.0878254i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 17.0865 | − | 17.9198i | 0.866318 | − | 0.908568i | −0.130239 | − | 0.991483i | \(-0.541574\pi\) |
0.996557 | + | 0.0829147i | \(0.0264229\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.03522 | − | 0.414438i | −0.0523531 | − | 0.0209590i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −9.61017 | − | 5.82875i | −0.484769 | − | 0.294022i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0.933415 | − | 9.77516i | 0.0469652 | − | 0.491842i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 1.99460 | + | 13.8728i | 0.100106 | + | 0.696254i | 0.976635 | + | 0.214905i | \(0.0689441\pi\) |
−0.876529 | + | 0.481350i | \(0.840147\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −11.9139 | + | 0.309824i | −0.596440 | + | 0.0155106i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −18.0622 | −0.901983 | −0.450991 | − | 0.892528i | \(-0.648930\pi\) | ||||
−0.450991 | + | 0.892528i | \(0.648930\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.16567 | 0.157693 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −4.73777 | − | 18.8057i | −0.235422 | − | 0.934460i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 1.06896 | + | 7.43480i | 0.0529865 | + | 0.368529i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.56485 | + | 16.3879i | −0.0773770 | + | 0.810328i | 0.870600 | + | 0.491991i | \(0.163731\pi\) |
−0.947977 | + | 0.318338i | \(0.896875\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 11.0226 | − | 18.1736i | 0.543706 | − | 0.896436i | ||||
\(412\) | 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 | ||||||||
\(417\) | 2.90108 | + | 17.0231i | 0.142067 | + | 0.833623i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 25.6749 | + | 8.88615i | 1.25430 | + | 0.434117i | 0.871810 | − | 0.489843i | \(-0.162946\pi\) |
0.382488 | + | 0.923960i | \(0.375067\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −27.0960 | + | 2.58736i | −1.32058 | + | 0.126100i | −0.731426 | − | 0.681921i | \(-0.761145\pi\) |
−0.589153 | + | 0.808021i | \(0.700539\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 17.8311 | + | 30.5730i | 0.866977 | + | 1.48651i | ||||
\(424\) | 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 | ||||||||
\(429\) | −14.5687 | − | 29.8238i | −0.703382 | − | 1.43991i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −29.7965 | − | 17.2030i | −1.43525 | − | 0.828640i | −0.437733 | − | 0.899105i | \(-0.644218\pi\) |
−0.997514 | + | 0.0704650i | \(0.977552\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 12.8252 | + | 13.4507i | 0.616342 | + | 0.646400i | 0.955730 | − | 0.294246i | \(-0.0950685\pi\) |
−0.339388 | + | 0.940646i | \(0.610220\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 10.1445 | + | 3.75830i | 0.486391 | + | 0.180197i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 5.64257 | − | 0.268789i | 0.269921 | − | 0.0128579i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −2.80865 | − | 4.86473i | −0.134050 | − | 0.232181i | 0.791184 | − | 0.611578i | \(-0.209465\pi\) |
−0.925234 | + | 0.379397i | \(0.876131\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −2.82654 | − | 0.393712i | −0.134597 | − | 0.0187482i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 18.3930 | − | 3.54496i | 0.873878 | − | 0.168426i | 0.267457 | − | 0.963570i | \(-0.413817\pi\) |
0.606421 | + | 0.795144i | \(0.292605\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.38006 | + | 2.92884i | −0.160230 | + | 0.138840i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 13.4810 | − | 31.6734i | 0.637629 | − | 1.49810i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −3.99949 | − | 7.75792i | −0.188747 | − | 0.366119i | 0.775407 | − | 0.631462i | \(-0.217545\pi\) |
−0.964154 | + | 0.265343i | \(0.914515\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −17.6348 | − | 3.39882i | −0.830389 | − | 0.160044i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −13.9560 | − | 4.42742i | −0.655708 | − | 0.208019i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −24.2174 | + | 27.9484i | −1.13533 | + | 1.31024i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 8.20283 | − | 33.8125i | 0.383712 | − | 1.58168i | −0.372933 | − | 0.927858i | \(-0.621648\pi\) |
0.756645 | − | 0.653826i | \(-0.226837\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −0.724418 | + | 2.77672i | −0.0338129 | + | 0.129606i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −7.58595 | + | 25.8354i | −0.353313 | + | 1.20327i | 0.570779 | + | 0.821104i | \(0.306641\pi\) |
−0.924092 | + | 0.382170i | \(0.875177\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 11.8761 | + | 29.6651i | 0.551929 | + | 1.37865i | 0.897814 | + | 0.440376i | \(0.145155\pi\) |
−0.345884 | + | 0.938277i | \(0.612421\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 1.35767 | + | 1.01169i | 0.0629604 | + | 0.0469158i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −7.86651 | − | 5.60171i | −0.364018 | − | 0.259216i | 0.383382 | − | 0.923590i | \(-0.374759\pi\) |
−0.747401 | + | 0.664373i | \(0.768699\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 3.57975 | − | 19.8103i | 0.165297 | − | 0.914757i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −3.06691 | − | 0.0662569i | −0.141316 | − | 0.00305296i | ||||
\(472\) | 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 | ||||||||
\(477\) | 24.4427 | − | 31.3644i | 1.11915 | − | 1.43608i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −12.3046 | + | 23.8677i | −0.562214 | + | 1.09054i | 0.420825 | + | 0.907142i | \(0.361741\pi\) |
−0.983038 | + | 0.183400i | \(0.941289\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 18.5480 | + | 4.49971i | 0.845718 | + | 0.205169i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −8.54250 | − | 1.00233i | −0.388697 | − | 0.0456075i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −11.2571 | − | 14.3146i | −0.511160 | − | 0.649993i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −6.53877 | + | 33.9264i | −0.296300 | + | 1.53735i | 0.462851 | + | 0.886436i | \(0.346827\pi\) |
−0.759151 | + | 0.650915i | \(0.774385\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 11.5268 | + | 6.26122i | 0.521259 | + | 0.283142i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −4.02285 | − | 6.25968i | −0.181549 | − | 0.282495i | 0.738537 | − | 0.674213i | \(-0.235517\pi\) |
−0.920085 | + | 0.391718i | \(0.871881\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.04830 | − | 1.20981i | −0.0472133 | − | 0.0544870i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 3.28300 | − | 17.4465i | 0.147560 | − | 0.784161i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −5.44428 | − | 22.4416i | −0.244209 | − | 1.00665i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −4.30141 | + | 2.48342i | −0.192557 | + | 0.111173i | −0.593179 | − | 0.805070i | \(-0.702127\pi\) |
0.400622 | + | 0.916243i | \(0.368794\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −12.6163 | − | 16.7763i | −0.563653 | − | 0.749511i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 0.0854197 | + | 0.119955i | 0.00380867 | + | 0.00534853i | 0.816476 | − | 0.577380i | \(-0.195925\pi\) |
−0.812667 | + | 0.582728i | \(0.801985\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.14727 | − | 1.09392i | 0.0510527 | − | 0.0486786i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −61.6566 | + | 4.54609i | −2.73826 | + | 0.201899i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −6.04361 | − | 0.868940i | −0.267878 | − | 0.0385151i | 0.00706679 | − | 0.999975i | \(-0.497751\pi\) |
−0.274945 | + | 0.961460i | \(0.588660\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 7.16043 | + | 24.3862i | 0.316759 | + | 1.07878i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −2.50530 | − | 14.3200i | −0.110612 | − | 0.632243i | ||||
\(514\) | 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 | ||||||||
\(519\) | 9.46882 | + | 35.0298i | 0.415635 | + | 1.53764i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 10.9594 | − | 23.9977i | 0.480140 | − | 1.05136i | −0.502285 | − | 0.864702i | \(-0.667507\pi\) |
0.982425 | − | 0.186658i | \(-0.0597656\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 15.1168 | + | 14.4138i | 0.661011 | + | 0.630273i | 0.944426 | − | 0.328724i | \(-0.106619\pi\) |
−0.283414 | + | 0.958998i | \(0.591467\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 1.48447 | − | 0.326348i | 0.0647877 | − | 0.0142430i | ||||
\(526\) | 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 | ||||||||
\(531\) | 9.25545 | − | 38.8975i | 0.401652 | − | 1.68801i | ||||
\(532\) | 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 | 0.608430 | − | 0.793608i | \(-0.291800\pi\) |
0.807369 | + | 0.590047i | \(0.200891\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −5.51110 | − | 10.0403i | −0.236504 | − | 0.430869i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −14.4727 | + | 6.60948i | −0.619944 | + | 0.283119i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6.50868 | − | 16.2579i | 0.278291 | − | 0.695137i | −0.721705 | − | 0.692201i | \(-0.756641\pi\) |
0.999996 | − | 0.00293625i | \(-0.000934640\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 7.61963 | + | 16.4923i | 0.325198 | + | 0.703873i | ||||
\(550\) | 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 | ||||||||
\(555\) | 6.51673 | + | 7.85740i | 0.276620 | + | 0.333528i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 16.6237 | − | 21.1388i | 0.704369 | − | 0.895679i | −0.293818 | − | 0.955861i | \(-0.594926\pi\) |
0.998187 | + | 0.0601829i | \(0.0191684\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.275829 | + | 5.79037i | −0.0116663 | + | 0.244907i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −1.66806 | + | 2.02933i | −0.0704257 | + | 0.0856784i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −6.20782 | + | 43.1764i | −0.261629 | + | 1.81967i | 0.258993 | + | 0.965879i | \(0.416609\pi\) |
−0.520622 | + | 0.853788i | \(0.674300\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −2.45249 | + | 4.24784i | −0.103177 | + | 0.178708i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0.194738 | + | 22.1339i | 0.00817822 | + | 0.929536i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −24.2621 | + | 17.2770i | −1.01712 | + | 0.724289i | −0.961680 | − | 0.274173i | \(-0.911596\pi\) |
−0.0554414 | + | 0.998462i | \(0.517657\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −0.750998 | − | 15.7654i | −0.0314283 | − | 0.659761i | −0.958537 | − | 0.284968i | \(-0.908017\pi\) |
0.927109 | − | 0.374793i | \(-0.122286\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −2.93849 | + | 6.08316i | −0.122757 | + | 0.254127i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.700119 | + | 0.169847i | −0.0291970 | + | 0.00708312i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 7.92014 | + | 41.0936i | 0.329720 | + | 1.71075i | 0.647063 | + | 0.762437i | \(0.275997\pi\) |
−0.317343 | + | 0.948311i | \(0.602791\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 12.2244 | − | 46.0268i | 0.508029 | − | 1.91281i | ||||
\(580\) | 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 | ||||||||
\(585\) | −38.0554 | − | 24.2209i | −1.57340 | − | 1.00141i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 26.8181 | − | 21.0900i | 1.10690 | − | 0.870477i | 0.114489 | − | 0.993425i | \(-0.463477\pi\) |
0.992413 | + | 0.122947i | \(0.0392346\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.959209 | + | 0.831159i | 0.0395235 | + | 0.0342473i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 27.5272 | − | 10.3361i | 1.13232 | − | 0.425172i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 26.4914 | + | 13.6573i | 1.08787 | + | 0.560837i | 0.906341 | − | 0.422548i | \(-0.138864\pi\) |
0.181532 | + | 0.983385i | \(0.441895\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.80822 | + | 0.824569i | 0.115126 | + | 0.0338040i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −17.6741 | − | 11.9056i | −0.723352 | − | 0.487262i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −4.85131 | − | 14.0169i | −0.198219 | − | 0.572717i | 0.801460 | − | 0.598049i | \(-0.204057\pi\) |
−0.999679 | + | 0.0253316i | \(0.991936\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 22.9200 | − | 32.1867i | 0.934927 | − | 1.31292i | −0.0148163 | − | 0.999890i | \(-0.504716\pi\) |
0.949743 | − | 0.313031i | \(-0.101344\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 24.5438 | + | 0.775182i | 0.999502 | + | 0.0315678i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −4.32259 | + | 6.07023i | −0.175738 | + | 0.246790i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −4.68718 | − | 13.5427i | −0.190247 | − | 0.549682i | 0.809028 | − | 0.587771i | \(-0.199994\pi\) |
−0.999274 | + | 0.0380889i | \(0.987873\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −10.2408 | − | 6.89840i | −0.414980 | − | 0.279537i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 78.9903 | + | 23.1937i | 3.19561 | + | 0.938315i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 14.1715 | + | 7.30591i | 0.572381 | + | 0.295083i | 0.720014 | − | 0.693959i | \(-0.244135\pi\) |
−0.147633 | + | 0.989042i | \(0.547165\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −22.8499 | + | 8.57986i | −0.921396 | + | 0.345973i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 10.1060 | + | 8.75690i | 0.406852 | + | 0.352539i | 0.834117 | − | 0.551587i | \(-0.185978\pi\) |
−0.427265 | + | 0.904126i | \(0.640523\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −35.1858 | + | 27.6704i | −1.41424 | + | 1.11217i | −0.437133 | + | 0.899397i | \(0.644006\pi\) |
−0.977102 | + | 0.212770i | \(0.931751\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −0.318880 | − | 10.4868i | −0.0127962 | − | 0.420820i | ||||
\(622\) | 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 | ||||||||
\(627\) | 3.41600 | − | 12.8618i | 0.136422 | − | 0.513650i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −0.285868 | − | 1.48323i | −0.0113983 | − | 0.0591401i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 32.3998 | − | 7.86012i | 1.28982 | − | 0.312906i | 0.468544 | − | 0.883440i | \(-0.344779\pi\) |
0.821274 | + | 0.570534i | \(0.193264\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −14.2420 | + | 29.4833i | −0.566069 | + | 1.17185i | ||||
\(634\) | 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 | ||||||||
\(639\) | 26.1043 | − | 10.5841i | 1.03267 | − | 0.418699i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 5.04283 | − | 8.73443i | 0.199180 | − | 0.344989i | −0.749083 | − | 0.662476i | \(-0.769506\pi\) |
0.948263 | + | 0.317487i | \(0.102839\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 1.46628 | − | 10.1982i | 0.0578245 | − | 0.402178i | −0.940268 | − | 0.340436i | \(-0.889425\pi\) |
0.998092 | − | 0.0617419i | \(-0.0196656\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −1.96879 | + | 2.39518i | −0.0775209 | + | 0.0943102i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −2.21980 | + | 46.5994i | −0.0872694 | + | 1.83201i | 0.354700 | + | 0.934980i | \(0.384583\pi\) |
−0.441969 | + | 0.897030i | \(0.645720\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 22.6253 | − | 28.7704i | 0.888120 | − | 1.12934i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −1.23368 | − | 1.48748i | −0.0483517 | − | 0.0582990i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 14.8700 | − | 42.9640i | 0.581907 | − | 1.68131i | −0.140700 | − | 0.990052i | \(-0.544935\pi\) |
0.722607 | − | 0.691259i | \(-0.242944\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −12.7194 | − | 5.80875i | −0.496988 | − | 0.226967i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −28.1436 | + | 13.0027i | −1.09799 | + | 0.507282i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 9.29668 | − | 23.2220i | 0.362147 | − | 0.904600i | −0.629662 | − | 0.776870i | \(-0.716806\pi\) |
0.991809 | − | 0.127731i | \(-0.0407693\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.56815 | + | 0.716148i | −0.0609938 | + | 0.0278549i | −0.445678 | − | 0.895193i | \(-0.647037\pi\) |
0.384685 | + | 0.923048i | \(0.374310\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 3.21184 | + | 5.85141i | 0.124738 | + | 0.227250i | ||||
\(664\) | 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 | −0.871248 | − | 0.490844i | \(-0.836689\pi\) |
0.808416 | + | 0.588611i | \(0.200325\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0.659356 | + | 1.73279i | 0.0253786 | + | 0.0666953i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 29.1487 | + | 2.78336i | 1.12028 | + | 0.106973i | 0.638718 | − | 0.769441i | \(-0.279465\pi\) |
0.481558 | + | 0.876414i | \(0.340071\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 8.63441 | + | 18.9067i | 0.331358 | + | 0.725574i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 10.4813 | − | 2.30423i | 0.401645 | − | 0.0882982i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −5.63357 | − | 5.37160i | −0.215563 | − | 0.205539i | 0.574602 | − | 0.818433i | \(-0.305157\pi\) |
−0.790165 | + | 0.612894i | \(0.790005\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 10.9848 | − | 24.0534i | 0.419708 | − | 0.919032i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 1.41735 | + | 5.24346i | 0.0540752 | + | 0.200050i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −8.79196 | − | 92.0736i | −0.334947 | − | 3.50772i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −11.2652 | − | 8.85907i | −0.428549 | − | 0.337015i | 0.380474 | − | 0.924792i | \(-0.375761\pi\) |
−0.809023 | + | 0.587777i | \(0.800003\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −8.33607 | + | 18.4680i | −0.316661 | + | 0.701542i | ||||
\(694\) | 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 | ||||||||
\(699\) | −11.5187 | + | 0.849303i | −0.435677 | + | 0.0321236i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 18.2157 | − | 17.3687i | 0.687999 | − | 0.656006i | −0.263144 | − | 0.964757i | \(-0.584759\pi\) |
0.951143 | + | 0.308751i | \(0.0999109\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 4.43870 | + | 6.23329i | 0.167409 | + | 0.235093i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 26.4646 | + | 35.1909i | 0.996713 | + | 1.32537i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −1.56689 | + | 0.904646i | −0.0589291 | + | 0.0340227i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −6.67711 | − | 27.5234i | −0.250764 | − | 1.03366i | −0.948366 | − | 0.317178i | \(-0.897265\pi\) |
0.697602 | − | 0.716486i | \(-0.254250\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −13.4354 | − | 2.52822i | −0.503868 | − | 0.0948157i | ||||
\(712\) | 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 | ||||||||
\(717\) | −38.0230 | − | 20.6537i | −1.42000 | − | 0.771327i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −0.513994 | + | 2.66685i | −0.0191687 | + | 0.0994569i | −0.990253 | − | 0.139280i | \(-0.955521\pi\) |
0.971084 | + | 0.238737i | \(0.0767333\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −19.6787 | − | 25.0235i | −0.732874 | − | 0.931925i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −0.111900 | − | 0.0131297i | −0.00416160 | − | 0.000488298i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −1.00508 | − | 0.243829i | −0.0373277 | − | 0.00905560i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 16.5228 | − | 32.0498i | 0.612798 | − | 1.18866i | −0.354508 | − | 0.935053i | \(-0.615352\pi\) |
0.967307 | − | 0.253610i | \(-0.0816179\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −26.6721 | + | 4.19485i | −0.987857 | + | 0.155365i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.425922 | − | 0.170513i | 0.0157533 | − | 0.00630667i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 6.38116 | − | 2.20854i | 0.235694 | − | 0.0815743i | −0.206668 | − | 0.978411i | \(-0.566262\pi\) |
0.442362 | + | 0.896837i | \(0.354141\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −3.54956 | − | 0.0766840i | −0.130927 | − | 0.00282853i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 20.0983 | + | 10.0673i | 0.740330 | + | 0.370835i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −9.54596 | − | 6.79764i | −0.351154 | − | 0.250055i | 0.390845 | − | 0.920456i | \(-0.372183\pi\) |
−0.741999 | + | 0.670401i | \(0.766122\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −27.1146 | − | 20.2048i | −0.996080 | − | 0.742243i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −13.4166 | − | 33.5130i | −0.492207 | − | 1.22947i | −0.941780 | − | 0.336230i | \(-0.890848\pi\) |
0.449573 | − | 0.893244i | \(-0.351576\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 12.0652 | − | 41.0902i | 0.442034 | − | 1.50543i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 20.2984 | + | 23.2185i | 0.742681 | + | 0.849519i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 2.81591 | − | 11.6073i | 0.102891 | − | 0.424122i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −24.0876 | + | 27.7986i | −0.878971 | + | 1.01439i | 0.120794 | + | 0.992678i | \(0.461456\pi\) |
−0.999764 | + | 0.0217085i | \(0.993089\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −41.0801 | − | 13.0324i | −1.49704 | − | 0.474926i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −17.8859 | − | 3.44722i | −0.650934 | − | 0.125457i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −16.4736 | − | 31.9542i | −0.598742 | − | 1.16140i | −0.972288 | − | 0.233785i | \(-0.924889\pi\) |
0.373547 | − | 0.927611i | \(-0.378142\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 3.76122 | − | 8.83695i | 0.136524 | − | 0.320761i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 0.118608 | − | 0.102774i | 0.00429952 | − | 0.00372556i | −0.652708 | − | 0.757609i | \(-0.726367\pi\) |
0.657008 | + | 0.753884i | \(0.271822\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 17.8315 | − | 3.43674i | 0.645544 | − | 0.124418i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −0.492527 | + | 3.53595i | −0.0178074 | + | 0.127843i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −46.5016 | − | 80.5431i | −1.67908 | − | 2.90824i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −46.3240 | + | 2.20669i | −1.67049 | + | 0.0795751i | −0.861340 | − | 0.508030i | \(-0.830374\pi\) |
−0.809148 | + | 0.587605i | \(0.800071\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 24.1753 | + | 8.95639i | 0.870652 | + | 0.322557i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 28.4381 | + | 29.8250i | 1.02285 | + | 1.07273i | 0.997328 | + | 0.0730574i | \(0.0232756\pi\) |
0.0255199 | + | 0.999674i | \(0.491876\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.140180 | − | 0.0809331i | −0.00503542 | − | 0.00290720i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −5.11397 | − | 10.4689i | −0.183462 | − | 0.375570i | ||||
\(778\) | 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 | ||||||||
\(783\) | 6.49155 | − | 13.5909i | 0.231989 | − | 0.485698i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −3.79908 | + | 0.362768i | −0.135595 | + | 0.0129478i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 23.0071 | + | 7.96283i | 0.820114 | + | 0.283844i | 0.704729 | − | 0.709477i | \(-0.251069\pi\) |
0.115385 | + | 0.993321i | \(0.463190\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −3.90208 | − | 22.8968i | −0.138918 | − | 0.815146i | ||||
\(790\) | 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 | ||||||||
\(795\) | 25.6543 | − | 42.2976i | 0.909864 | − | 1.50014i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −2.68671 | + | 28.1365i | −0.0951681 | + | 0.996645i | 0.814181 | + | 0.580611i | \(0.197186\pi\) |
−0.909349 | + | 0.416034i | \(0.863420\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.927243 | − | 6.44912i | −0.0328035 | − | 0.228153i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 3.63413 | + | 5.05620i | 0.128406 | + | 0.178652i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −28.3795 | −1.00149 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −10.7004 | −0.377141 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 15.8510 | − | 0.412211i | 0.557983 | − | 0.0145105i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 1.33803 | + | 9.30620i | 0.0470426 | + | 0.327188i | 0.999730 | + | 0.0232366i | \(0.00739711\pi\) |
−0.952687 | + | 0.303952i | \(0.901694\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 2.07284 | − | 21.7078i | 0.0727873 | − | 0.762263i | −0.883227 | − | 0.468945i | \(-0.844634\pi\) |
0.956015 | − | 0.293318i | \(-0.0947596\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 17.4159 | + | 10.5631i | 0.610801 | + | 0.370462i | ||||
\(814\) | 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 | ||||||||
\(819\) | 35.6931 | + | 37.1057i | 1.24722 | + | 1.29658i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 30.1184 | + | 10.4241i | 1.05114 | + | 0.363803i | 0.797388 | − | 0.603466i | \(-0.206214\pi\) |
0.253751 | + | 0.967269i | \(0.418335\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −11.0091 | + | 1.05125i | −0.383755 | + | 0.0366441i | −0.285151 | − | 0.958483i | \(-0.592044\pi\) |
−0.0986037 | + | 0.995127i | \(0.531438\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −0.117350 | + | 1.69310i | −0.00408562 | + | 0.0589462i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 28.6623 | + | 1.36535i | 0.996685 | + | 0.0474780i | 0.539580 | − | 0.841934i | \(-0.318583\pi\) |
0.457106 | + | 0.889412i | \(0.348886\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −11.4805 | + | 3.37097i | −0.398733 | + | 0.117079i | −0.474950 | − | 0.880013i | \(-0.657534\pi\) |
0.0762173 | + | 0.997091i | \(0.475716\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −17.7201 | + | 8.65613i | −0.614704 | + | 0.300278i | ||||
\(832\) | 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 | ||||||||
\(837\) | 1.57410 | − | 1.75469i | 0.0544088 | − | 0.0606510i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −7.50028 | + | 0.357283i | −0.258939 | + | 0.0123348i | −0.176650 | − | 0.984274i | \(-0.556526\pi\) |
−0.0822887 | + | 0.996609i | \(0.526223\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −10.2990 | − | 17.8385i | −0.355139 | − | 0.615119i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −23.3362 | + | 25.7844i | −0.803743 | + | 0.888064i | ||||
\(844\) | 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 | ||||||||
\(849\) | −1.12282 | − | 0.477898i | −0.0385349 | − | 0.0164014i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 2.53058 | + | 4.90864i | 0.0867471 | + | 0.168266i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 7.14229 | + | 1.37656i | 0.244547 | + | 0.0471327i | 0.310052 | − | 0.950720i | \(-0.399654\pi\) |
−0.0655045 | + | 0.997852i | \(0.520866\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −5.17164 | − | 17.3306i | −0.176866 | − | 0.592694i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −2.53153 | + | 2.92154i | −0.0864755 | + | 0.0997980i | −0.797338 | − | 0.603533i | \(-0.793759\pi\) |
0.710863 | + | 0.703331i | \(0.248305\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1.00173 | + | 4.12919i | −0.0341786 | + | 0.140886i | −0.986344 | − | 0.164696i | \(-0.947336\pi\) |
0.952166 | + | 0.305582i | \(0.0988510\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 27.6535 | − | 3.36810i | 0.942430 | − | 0.114784i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 1.22638 | − | 4.17668i | 0.0417466 | − | 0.142176i | −0.935983 | − | 0.352046i | \(-0.885486\pi\) |
0.977729 | + | 0.209870i | \(0.0673042\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 16.7783 | + | 41.9101i | 0.570478 | + | 1.42499i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −17.2781 | + | 23.1870i | −0.586795 | + | 0.787471i | ||||
\(868\) | 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 | ||||||||
\(873\) | −21.2683 | + | 13.8009i | −0.719824 | + | 0.467090i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 26.8274 | − | 9.28505i | 0.906931 | − | 0.313892i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −33.1871 | + | 13.2861i | −1.12065 | + | 0.448641i | −0.856658 | − | 0.515884i | \(-0.827463\pi\) |
−0.263992 | + | 0.964525i | \(0.585039\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 27.5605 | − | 8.87698i | 0.929591 | − | 0.299413i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −3.25892 | + | 6.32142i | −0.109796 | + | 0.212974i | −0.937331 | − | 0.348439i | \(-0.886712\pi\) |
0.827536 | + | 0.561413i | \(0.189742\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −3.38521 | − | 0.821244i | −0.113922 | − | 0.0276371i | 0.178393 | − | 0.983959i | \(-0.442910\pi\) |
−0.292314 | + | 0.956322i | \(0.594425\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 5.79675 | − | 49.4037i | 0.194856 | − | 1.66069i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −6.30023 | − | 8.01140i | −0.211541 | − | 0.268996i | 0.668690 | − | 0.743541i | \(-0.266855\pi\) |
−0.880231 | + | 0.474545i | \(0.842613\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 7.20094 | − | 37.3620i | 0.241512 | − | 1.25308i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −23.7751 | − | 6.75437i | −0.796495 | − | 0.226280i | ||||
\(892\) | 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 | ||||||||
\(897\) | −17.2941 | − | 17.2182i | −0.577433 | − | 0.574899i | ||||
\(898\) | 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 | ||||||||
\(903\) | 2.82827 | − | 2.12694i | 0.0941188 | − | 0.0707800i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −8.26515 | − | 11.6068i | −0.274743 | − | 0.385822i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −1.53755 | + | 1.46605i | −0.0510534 | + | 0.0486793i | −0.715176 | − | 0.698944i | \(-0.753654\pi\) |
0.664123 | + | 0.747623i | \(0.268805\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −1.37188 | − | 1.72878i | −0.0455024 | − | 0.0573401i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 29.7778 | + | 4.28140i | 0.986583 | + | 0.141849i | 0.616674 | − | 0.787219i | \(-0.288480\pi\) |
0.369909 | + | 0.929068i | \(0.379389\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 7.95369 | + | 27.0878i | 0.263229 | + | 0.896474i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 11.8059 | + | 19.2732i | 0.390290 | + | 0.637153i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 12.5452 | + | 9.86562i | 0.414278 | + | 0.325791i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −1.50036 | − | 15.7125i | −0.0494923 | − | 0.518306i | −0.985893 | − | 0.167375i | \(-0.946471\pi\) |
0.936401 | − | 0.350932i | \(-0.114135\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 18.4663 | − | 4.99158i | 0.608484 | − | 0.164478i | ||||
\(922\) | 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 | ||||||||
\(927\) | 26.6730 | − | 28.2214i | 0.876058 | − | 0.926913i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 17.5384 | + | 38.4038i | 0.575418 | + | 1.25999i | 0.943862 | + | 0.330339i | \(0.107163\pi\) |
−0.368445 | + | 0.929650i | \(0.620110\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −2.64937 | − | 0.252984i | −0.0868297 | − | 0.00829123i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 16.6402 | − | 15.1939i | 0.544774 | − | 0.497425i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −1.76685 | + | 2.74928i | −0.0577823 | + | 0.0899110i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 41.0031i | 1.33951i | 0.742581 | + | 0.669756i | \(0.233601\pi\) | ||||
−0.742581 | + | 0.669756i | \(0.766399\pi\) | |||||||
\(938\) | 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 | \(-0.0594984\pi\) |
0.239139 | + | 0.970985i | \(0.423135\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −13.0700 | + | 1.87918i | −0.425616 | + | 0.0611944i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 3.44956 | + | 27.3204i | 0.112214 | + | 0.888734i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −15.7829 | + | 7.20782i | −0.512876 | + | 0.234223i | −0.655004 | − | 0.755626i | \(-0.727333\pi\) |
0.142128 | + | 0.989848i | \(0.454606\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −26.8013 | + | 66.9465i | −0.870009 | + | 2.17318i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 12.1702 | + | 2.01900i | 0.394646 | + | 0.0654707i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −35.4125 | − | 16.1724i | −1.14712 | − | 0.523874i | −0.251136 | − | 0.967952i | \(-0.580804\pi\) |
−0.895988 | + | 0.444078i | \(0.853531\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −2.74888 | + | 7.94238i | −0.0889518 | + | 0.257009i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 10.6124 | − | 8.80170i | 0.343052 | − | 0.284518i | ||||
\(958\) | 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 | ||||||||
\(963\) | 14.5093 | + | 1.32109i | 0.467556 | + | 0.0425715i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 8.43161 | − | 58.6431i | 0.271423 | − | 1.88779i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −26.8720 | + | 46.5436i | −0.864145 | + | 1.49674i | 0.00374909 | + | 0.999993i | \(0.498807\pi\) |
−0.867894 | + | 0.496750i | \(0.834527\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −0.563113 | + | 2.61628i | −0.0180898 | + | 0.0840470i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 9.99233 | − | 7.11551i | 0.320669 | − | 0.228348i | −0.408375 | − | 0.912814i | \(-0.633904\pi\) |
0.729044 | + | 0.684467i | \(0.239965\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −1.16672 | − | 24.4925i | −0.0374034 | − | 0.785194i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 3.88316 | + | 1.87578i | 0.124361 | + | 0.0600730i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −25.7156 | + | 6.23853i | −0.822714 | + | 0.199588i | −0.624954 | − | 0.780662i | \(-0.714882\pi\) |
−0.197761 | + | 0.980250i | \(0.563367\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.07873 | + | 5.59696i | 0.0344762 | + | 0.178880i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 7.33696 | + | 20.9008i | 0.234251 | + | 0.667312i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 20.3730 | − | 13.0929i | 0.649799 | − | 0.417600i | −0.173794 | − | 0.984782i | \(-0.555603\pi\) |
0.823593 | + | 0.567182i | \(0.191966\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 32.5142 | − | 16.7622i | 1.03599 | − | 0.534089i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −19.8848 | − | 46.1546i | −0.632940 | − | 1.46912i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −1.31848 | + | 1.03687i | −0.0419253 | + | 0.0329704i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 21.8626 | + | 18.9441i | 0.694490 | + | 0.601779i | 0.928887 | − | 0.370362i | \(-0.120766\pi\) |
−0.234398 | + | 0.972141i | \(0.575312\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −9.98994 | − | 26.6052i | −0.317021 | − | 0.844290i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −23.5642 | − | 12.1482i | −0.747035 | − | 0.385123i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −19.8213 | − | 5.82007i | −0.627748 | − | 0.184324i | −0.0476422 | − | 0.998864i | \(-0.515171\pi\) |
−0.580106 | + | 0.814541i | \(0.696989\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 11.7170 | − | 8.04351i | 0.370708 | − | 0.254485i |
(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.353.12 | yes | 440 | |
3.2 | odd | 2 | inner | 804.2.ba.b.353.19 | yes | 440 | |
67.41 | odd | 66 | inner | 804.2.ba.b.41.19 | yes | 440 | |
201.41 | even | 66 | inner | 804.2.ba.b.41.12 | ✓ | 440 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.ba.b.41.12 | ✓ | 440 | 201.41 | even | 66 | inner | |
804.2.ba.b.41.19 | yes | 440 | 67.41 | odd | 66 | inner | |
804.2.ba.b.353.12 | yes | 440 | 1.1 | even | 1 | trivial | |
804.2.ba.b.353.19 | yes | 440 | 3.2 | odd | 2 | inner |