Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,2,Mod(13,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([0, 27, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.bh (of order \(36\), degree \(12\), 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: | \(3.03431527681\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 33.5 | ||
Character | \(\chi\) | \(=\) | 380.33 |
Dual form | 380.2.bh.a.357.5 |
$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) |
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 | ||||||||
\(3\) | 0.0411373 | + | 0.0587502i | 0.0237507 | + | 0.0339194i | 0.830852 | − | 0.556494i | \(-0.187854\pi\) |
−0.807101 | + | 0.590413i | \(0.798965\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.20598 | + | 0.365568i | −0.986546 | + | 0.163487i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.553309 | + | 0.148259i | 0.209131 | + | 0.0560365i | 0.361864 | − | 0.932231i | \(-0.382141\pi\) |
−0.152733 | + | 0.988268i | \(0.548807\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.02430 | − | 2.81424i | 0.341434 | − | 0.938081i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.49421 | − | 4.32010i | 0.752034 | − | 1.30256i | −0.194802 | − | 0.980843i | \(-0.562406\pi\) |
0.946836 | − | 0.321718i | \(-0.104260\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.89698 | + | 3.42890i | 1.35818 | + | 0.951007i | 0.999848 | + | 0.0174117i | \(0.00554259\pi\) |
0.358330 | + | 0.933595i | \(0.383346\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.112225 | − | 0.114563i | −0.0289765 | − | 0.0295802i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.10088 | − | 2.36084i | 0.267002 | − | 0.572587i | −0.726400 | − | 0.687272i | \(-0.758808\pi\) |
0.993402 | + | 0.114685i | \(0.0365858\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.41080 | + | 2.71412i | 0.782491 | + | 0.622662i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.0140514 | + | 0.0386060i | 0.00306627 | + | 0.00842451i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 4.15825 | + | 0.363800i | 0.867055 | + | 0.0758575i | 0.511997 | − | 0.858987i | \(-0.328906\pi\) |
0.355057 | + | 0.934844i | \(0.384461\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.73272 | − | 1.61287i | 0.946544 | − | 0.322574i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.415305 | − | 0.111281i | 0.0799255 | − | 0.0214160i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −5.28906 | − | 1.92506i | −0.982153 | − | 0.357474i | −0.199476 | − | 0.979903i | \(-0.563924\pi\) |
−0.782677 | + | 0.622428i | \(0.786146\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.80028 | + | 3.34880i | −1.04176 | + | 0.601461i | −0.920332 | − | 0.391139i | \(-0.872081\pi\) |
−0.121430 | + | 0.992600i | \(0.538748\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.356412 | − | 0.0311820i | 0.0620434 | − | 0.00542810i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.27479 | − | 0.124784i | −0.215478 | − | 0.0210924i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.89970 | − | 5.89970i | −0.969905 | − | 0.969905i | 0.0296550 | − | 0.999560i | \(-0.490559\pi\) |
−0.999560 | + | 0.0296550i | \(0.990559\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.428755i | 0.0686557i | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −1.05503 | − | 0.186031i | −0.164768 | − | 0.0290531i | 0.0906553 | − | 0.995882i | \(-0.471104\pi\) |
−0.255424 | + | 0.966829i | \(0.582215\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.00412207 | + | 0.0471155i | 0.000628610 | + | 0.00718504i | 0.996503 | − | 0.0835627i | \(-0.0266299\pi\) |
−0.995874 | + | 0.0907477i | \(0.971074\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.23079 | + | 6.58263i | −0.183476 | + | 0.981280i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 10.8196 | − | 5.04526i | 1.57820 | − | 0.735927i | 0.581232 | − | 0.813738i | \(-0.302571\pi\) |
0.996968 | + | 0.0778110i | \(0.0247931\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.77801 | − | 3.33593i | −0.825430 | − | 0.476562i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.183987 | − | 0.0324418i | 0.0257633 | − | 0.00454277i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.268926 | + | 3.07384i | −0.0369398 | + | 0.422224i | 0.955099 | + | 0.296288i | \(0.0957489\pi\) |
−0.992038 | + | 0.125936i | \(0.959807\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −3.92290 | + | 10.4419i | −0.528964 | + | 1.40798i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.0191439 | + | 0.312037i | −0.00253567 | + | 0.0413303i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 6.31979 | − | 2.30021i | 0.822766 | − | 0.299462i | 0.103880 | − | 0.994590i | \(-0.466874\pi\) |
0.718886 | + | 0.695128i | \(0.244652\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.37870 | + | 5.35237i | −0.816709 | + | 0.685300i | −0.952199 | − | 0.305478i | \(-0.901184\pi\) |
0.135490 | + | 0.990779i | \(0.456739\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.983991 | − | 1.40528i | 0.123971 | − | 0.177049i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −12.0562 | − | 5.77392i | −1.49538 | − | 0.716167i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.22905 | + | 11.2137i | 0.638830 | + | 1.36997i | 0.912868 | + | 0.408256i | \(0.133863\pi\) |
−0.274038 | + | 0.961719i | \(0.588359\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.149686 | + | 0.259264i | 0.0180201 | + | 0.0312117i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.975910 | + | 1.16304i | −0.115819 | + | 0.138028i | −0.820839 | − | 0.571160i | \(-0.806494\pi\) |
0.705020 | + | 0.709188i | \(0.250938\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.22190 | + | 1.55579i | −0.260053 | + | 0.182091i | −0.696331 | − | 0.717721i | \(-0.745185\pi\) |
0.436278 | + | 0.899812i | \(0.356297\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0.289448 | + | 0.211699i | 0.0334226 | + | 0.0244449i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 2.02056 | − | 2.02056i | 0.230264 | − | 0.230264i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.81235 | − | 10.2784i | 0.203905 | − | 1.15641i | −0.695247 | − | 0.718771i | \(-0.744705\pi\) |
0.899153 | − | 0.437635i | \(-0.144184\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −6.85896 | − | 5.75535i | −0.762106 | − | 0.639483i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −1.33629 | + | 4.98709i | −0.146676 | + | 0.547404i | 0.852999 | + | 0.521913i | \(0.174782\pi\) |
−0.999675 | + | 0.0254909i | \(0.991885\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.56547 | + | 5.61041i | −0.169799 | + | 0.608535i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.104480 | − | 0.389925i | −0.0112014 | − | 0.0418043i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.70407 | − | 9.66428i | −0.180631 | − | 1.02441i | −0.931441 | − | 0.363892i | \(-0.881448\pi\) |
0.750810 | − | 0.660519i | \(-0.229664\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.20118 | + | 2.62326i | 0.230746 | + | 0.274993i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.435351 | − | 0.203007i | −0.0451438 | − | 0.0210509i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −8.51636 | − | 4.74042i | −0.873760 | − | 0.486357i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −10.0585 | − | 4.69035i | −1.02128 | − | 0.476232i | −0.161490 | − | 0.986874i | \(-0.551630\pi\) |
−0.859794 | + | 0.510642i | \(0.829408\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −9.60300 | − | 11.4444i | −0.965138 | − | 1.15021i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 2.26132 | + | 12.8246i | 0.225009 | + | 1.27609i | 0.862667 | + | 0.505772i | \(0.168792\pi\) |
−0.637658 | + | 0.770320i | \(0.720097\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.92910 | + | 18.3957i | 0.485679 | + | 1.81258i | 0.576984 | + | 0.816755i | \(0.304230\pi\) |
−0.0913050 | + | 0.995823i | \(0.529104\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.0451103 | − | 0.0800273i | −0.00440231 | − | 0.00780987i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.44767 | + | 12.8669i | −0.333299 | + | 1.24389i | 0.572402 | + | 0.819973i | \(0.306012\pi\) |
−0.905701 | + | 0.423916i | \(0.860655\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 12.6741 | + | 10.6348i | 1.21396 | + | 1.01863i | 0.999118 | + | 0.0419829i | \(0.0133675\pi\) |
0.214840 | + | 0.976649i | \(0.431077\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.103911 | − | 0.589307i | 0.00986277 | − | 0.0559345i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −5.12344 | + | 5.12344i | −0.481973 | + | 0.481973i | −0.905761 | − | 0.423788i | \(-0.860700\pi\) |
0.423788 | + | 0.905761i | \(0.360700\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −9.30602 | + | 0.717586i | −0.867791 | + | 0.0669152i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 14.6658 | − | 10.2691i | 1.35585 | − | 0.949376i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.959139 | − | 1.14306i | 0.0879241 | − | 0.104784i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −6.94220 | − | 12.0242i | −0.631109 | − | 1.09311i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −0.0324719 | − | 0.0696362i | −0.00292789 | − | 0.00627888i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −9.85069 | + | 5.28810i | −0.881072 | + | 0.472982i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.93452 | + | 7.04722i | −0.437868 | + | 0.625340i | −0.976065 | − | 0.217479i | \(-0.930217\pi\) |
0.538197 | + | 0.842819i | \(0.319106\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −0.00259847 | + | 0.00218038i | −0.000228783 | + | 0.000191972i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −10.0153 | + | 3.64526i | −0.875038 | + | 0.318488i | −0.740206 | − | 0.672380i | \(-0.765272\pi\) |
−0.134833 | + | 0.990868i | \(0.543050\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.48483 | + | 2.00743i | 0.128751 | + | 0.174066i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.875476 | + | 0.397306i | −0.0753489 | + | 0.0341946i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 1.15066 | − | 13.1521i | 0.0983074 | − | 1.12366i | −0.773496 | − | 0.633802i | \(-0.781493\pi\) |
0.871803 | − | 0.489857i | \(-0.162951\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.27203 | + | 0.400621i | −0.192711 | + | 0.0339802i | −0.269171 | − | 0.963093i | \(-0.586750\pi\) |
0.0764594 | + | 0.997073i | \(0.475638\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.741499 | + | 0.428105i | 0.0624455 | + | 0.0360529i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 27.0273 | − | 12.6031i | 2.26014 | − | 1.05392i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 12.3713 | + | 2.31314i | 1.02738 | + | 0.192096i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.0417050 | − | 0.476691i | −0.00343977 | − | 0.0393168i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −13.0687 | − | 2.30436i | −1.07063 | − | 0.188780i | −0.389559 | − | 0.921001i | \(-0.627373\pi\) |
−0.681067 | + | 0.732221i | \(0.738484\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 8.34991i | − | 0.679506i | −0.940515 | − | 0.339753i | \(-0.889657\pi\) | ||
0.940515 | − | 0.339753i | \(-0.110343\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −5.51635 | − | 5.51635i | −0.445970 | − | 0.445970i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 11.5711 | − | 9.50778i | 0.929414 | − | 0.763683i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 23.9747 | − | 2.09751i | 1.91339 | − | 0.167400i | 0.932395 | − | 0.361440i | \(-0.117715\pi\) |
0.980994 | + | 0.194040i | \(0.0621592\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −0.191652 | + | 0.110650i | −0.0151990 | + | 0.00877512i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 2.24686 | + | 0.817790i | 0.177077 | + | 0.0644509i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 14.7321 | − | 3.94745i | 1.15391 | − | 0.309188i | 0.369377 | − | 0.929280i | \(-0.379571\pi\) |
0.784530 | + | 0.620091i | \(0.212905\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −0.774840 | + | 0.199080i | −0.0603212 | + | 0.0154983i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −11.7964 | − | 1.03205i | −0.912833 | − | 0.0798626i | −0.378946 | − | 0.925419i | \(-0.623714\pi\) |
−0.533887 | + | 0.845556i | \(0.679269\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 7.77679 | + | 21.3665i | 0.598214 | + | 1.64358i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 11.1319 | − | 6.81875i | 0.851276 | − | 0.521443i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −2.32111 | + | 4.97764i | −0.176471 | + | 0.378443i | −0.974570 | − | 0.224083i | \(-0.928061\pi\) |
0.798099 | + | 0.602526i | \(0.205839\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.85778 | − | 0.190749i | 0.216028 | − | 0.0144193i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.395117 | + | 0.276664i | 0.0296988 | + | 0.0207953i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −3.20681 | + | 5.55435i | −0.239688 | + | 0.415152i | −0.960625 | − | 0.277849i | \(-0.910378\pi\) |
0.720937 | + | 0.693001i | \(0.243712\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.00642 | + | 2.76511i | −0.0748064 | + | 0.205529i | −0.971460 | − | 0.237204i | \(-0.923769\pi\) |
0.896653 | + | 0.442733i | \(0.145991\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −0.576855 | − | 0.154568i | −0.0426424 | − | 0.0114260i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 15.1714 | + | 10.8579i | 1.11542 | + | 0.798289i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −7.45324 | − | 10.6443i | −0.545035 | − | 0.778391i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.246290 | 0.0179150 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 11.6243 | 0.841107 | 0.420553 | − | 0.907268i | \(-0.361836\pi\) | ||||
0.420553 | + | 0.907268i | \(0.361836\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.29958 | − | 4.71228i | −0.237509 | − | 0.339197i | 0.682648 | − | 0.730747i | \(-0.260828\pi\) |
−0.920157 | + | 0.391549i | \(0.871939\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.156739 | − | 0.945825i | −0.0112243 | − | 0.0677320i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −14.0269 | − | 3.75850i | −0.999376 | − | 0.267782i | −0.278192 | − | 0.960526i | \(-0.589735\pi\) |
−0.721184 | + | 0.692744i | \(0.756402\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.83863 | − | 7.79908i | 0.201225 | − | 0.552862i | −0.797501 | − | 0.603318i | \(-0.793845\pi\) |
0.998726 | + | 0.0504555i | \(0.0160673\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.443700 | + | 0.768510i | −0.0312962 | + | 0.0542065i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −2.64107 | − | 1.84930i | −0.185367 | − | 0.129795i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.39539 | + | 0.0246947i | 0.167301 | + | 0.00172476i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 5.28312 | − | 11.3297i | 0.367202 | − | 0.787468i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 20.2325 | − | 7.96542i | 1.39951 | − | 0.550979i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.29589 | + | 3.56043i | 0.0892129 | + | 0.245110i | 0.976273 | − | 0.216544i | \(-0.0694784\pi\) |
−0.887060 | + | 0.461654i | \(0.847256\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −0.108475 | − | 0.00949037i | −0.00743262 | − | 0.000650270i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −0.0263171 | − | 0.102429i | −0.00179481 | − | 0.00698560i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.70583 | + | 0.992975i | −0.251568 | + | 0.0674076i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −0.182806 | − | 0.0665359i | −0.0123529 | − | 0.00449608i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 13.4861 | − | 7.78618i | 0.907170 | − | 0.523755i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −7.35623 | + | 0.643587i | −0.492610 | + | 0.0430978i | −0.330755 | − | 0.943717i | \(-0.607303\pi\) |
−0.161855 | + | 0.986815i | \(0.551748\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.308715 | − | 14.9711i | 0.0205810 | − | 0.998073i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −1.30611 | − | 1.30611i | −0.0866897 | − | 0.0866897i | 0.662432 | − | 0.749122i | \(-0.269524\pi\) |
−0.749122 | + | 0.662432i | \(0.769524\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 7.38156i | 0.487787i | 0.969802 | + | 0.243893i | \(0.0784247\pi\) | ||||
−0.969802 | + | 0.243893i | \(0.921575\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.201829 | + | 0.0355879i | 0.0132794 | + | 0.00234151i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 1.26675 | + | 14.4790i | 0.0829876 | + | 0.948553i | 0.917545 | + | 0.397632i | \(0.130168\pi\) |
−0.834557 | + | 0.550921i | \(0.814277\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −22.0235 | + | 15.0851i | −1.43665 | + | 0.984040i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0.678411 | − | 0.316348i | 0.0440675 | − | 0.0205490i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −18.2542 | − | 10.5391i | −1.18077 | − | 0.681717i | −0.224576 | − | 0.974457i | \(-0.572100\pi\) |
−0.956192 | + | 0.292740i | \(0.905433\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2.48055 | + | 0.437388i | −0.159786 | + | 0.0281747i | −0.252969 | − | 0.967474i | \(-0.581407\pi\) |
0.0931826 | + | 0.995649i | \(0.470296\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.168388 | − | 1.92468i | 0.0108021 | − | 0.123469i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 13.9657 | + | 5.24676i | 0.892236 | + | 0.335203i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 7.39617 | + | 24.9863i | 0.470607 | + | 1.58984i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −0.347964 | + | 0.126648i | −0.0220513 | + | 0.00802602i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 10.6991 | − | 8.97765i | 0.675324 | − | 0.566664i | −0.239312 | − | 0.970943i | \(-0.576922\pi\) |
0.914636 | + | 0.404279i | \(0.132477\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 11.9432 | − | 17.0567i | 0.750863 | − | 1.07234i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.394012 | + | 0.138826i | −0.0246740 | + | 0.00869361i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 5.86433 | + | 12.5761i | 0.365807 | + | 0.784475i | 0.999937 | + | 0.0112485i | \(0.00358059\pi\) |
−0.634130 | + | 0.773226i | \(0.718642\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.38967 | − | 4.13904i | −0.148487 | − | 0.257187i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −10.8352 | + | 12.9129i | −0.670680 | + | 0.799286i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −19.0238 | + | 13.3206i | −1.17306 | + | 0.821386i | −0.986932 | − | 0.161140i | \(-0.948483\pi\) |
−0.186128 | + | 0.982525i | \(0.559594\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.530450 | − | 6.87915i | −0.0325853 | − | 0.422583i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.497677 | − | 0.497677i | 0.0304573 | − | 0.0304573i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 3.10231 | − | 17.5941i | 0.189151 | − | 1.07273i | −0.731354 | − | 0.681998i | \(-0.761111\pi\) |
0.920505 | − | 0.390731i | \(-0.127778\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.40769 | + | 4.53759i | 0.328494 | + | 0.275639i | 0.792086 | − | 0.610410i | \(-0.208995\pi\) |
−0.463592 | + | 0.886049i | \(0.653440\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −0.0635666 | + | 0.237234i | −0.00384722 | + | 0.0143580i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 4.83664 | − | 24.4687i | 0.291660 | − | 1.47552i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.13610 | − | 4.23998i | −0.0682616 | − | 0.254756i | 0.923359 | − | 0.383937i | \(-0.125432\pi\) |
−0.991621 | + | 0.129181i | \(0.958765\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 3.48309 | + | 19.7536i | 0.208527 | + | 1.18262i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −10.8248 | − | 12.9005i | −0.645753 | − | 0.769578i | 0.339514 | − | 0.940601i | \(-0.389737\pi\) |
−0.985267 | + | 0.171023i | \(0.945293\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.0560064 | − | 0.0261162i | −0.00332923 | − | 0.00155245i | 0.420953 | − | 0.907082i | \(-0.361696\pi\) |
−0.424282 | + | 0.905530i | \(0.639474\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −0.0718395 | − | 0.695346i | −0.00425541 | − | 0.0411888i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.556178 | − | 0.259350i | −0.0328301 | − | 0.0153089i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 6.56576 | + | 7.82477i | 0.386221 | + | 0.460281i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.138220 | − | 0.783886i | −0.00810262 | − | 0.0459522i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −1.32116 | − | 4.93062i | −0.0771827 | − | 0.288050i | 0.916537 | − | 0.399951i | \(-0.130973\pi\) |
−0.993719 | + | 0.111901i | \(0.964306\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −13.1005 | + | 7.38454i | −0.762738 | + | 0.429945i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0.555116 | − | 2.07172i | 0.0322111 | − | 0.120213i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 19.1154 | + | 16.0398i | 1.10547 | + | 0.927603i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.00470450 | + | 0.0266805i | −0.000271163 | + | 0.00153784i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −0.660421 | + | 0.660421i | −0.0379402 | + | 0.0379402i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 12.1147 | − | 14.1391i | 0.693683 | − | 0.809601i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3.41448 | − | 2.39085i | 0.194875 | − | 0.136453i | −0.472067 | − | 0.881563i | \(-0.656492\pi\) |
0.666942 | + | 0.745110i | \(0.267603\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −0.877979 | + | 1.04633i | −0.0499465 | + | 0.0595239i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −5.84352 | − | 10.1213i | −0.331356 | − | 0.573925i | 0.651422 | − | 0.758715i | \(-0.274173\pi\) |
−0.982778 | + | 0.184791i | \(0.940839\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −11.8028 | − | 25.3112i | −0.667134 | − | 1.43067i | −0.890063 | − | 0.455838i | \(-0.849340\pi\) |
0.222929 | − | 0.974835i | \(-0.428438\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −1.65694 | + | 3.45975i | −0.0933580 | + | 0.194935i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −18.3715 | + | 26.2372i | −1.03185 | + | 1.47363i | −0.157993 | + | 0.987440i | \(0.550502\pi\) |
−0.873853 | + | 0.486190i | \(0.838386\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −21.5085 | + | 18.0478i | −1.20424 | + | 1.01048i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −0.897761 | + | 0.326758i | −0.0501081 | + | 0.0182379i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 10.1625 | − | 5.06443i | 0.565455 | − | 0.281793i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 28.7064 | + | 8.32984i | 1.59235 | + | 0.462056i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −0.103420 | + | 1.18209i | −0.00571913 | + | 0.0653700i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 6.73458 | − | 1.18749i | 0.371289 | − | 0.0654683i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −7.69584 | − | 4.44320i | −0.423002 | − | 0.244220i | 0.273359 | − | 0.961912i | \(-0.411865\pi\) |
−0.696361 | + | 0.717692i | \(0.745199\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −22.6463 | + | 10.5601i | −1.24101 | + | 0.578692i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −15.6346 | − | 22.8257i | −0.854207 | − | 1.24710i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.51447 | + | 17.3105i | 0.0824985 | + | 0.942962i | 0.918808 | + | 0.394704i | \(0.129153\pi\) |
−0.836310 | + | 0.548257i | \(0.815291\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −0.511768 | − | 0.0902385i | −0.0277954 | − | 0.00490108i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 33.4104i | 1.80928i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −5.53779 | − | 5.53779i | −0.299013 | − | 0.299013i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.424983 | − | 0.517211i | −0.0228803 | − | 0.0278457i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −15.0999 | + | 1.32107i | −0.810606 | + | 0.0709188i | −0.484919 | − | 0.874559i | \(-0.661151\pi\) |
−0.325687 | + | 0.945478i | \(0.605595\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −26.0156 | + | 15.0201i | −1.39259 | + | 0.804010i | −0.993601 | − | 0.112948i | \(-0.963971\pi\) |
−0.398985 | + | 0.916958i | \(0.630637\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.41531 | + | 0.879102i | 0.128920 | + | 0.0469230i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −16.5143 | + | 4.42500i | −0.878970 | + | 0.235519i | −0.669963 | − | 0.742395i | \(-0.733690\pi\) |
−0.209007 | + | 0.977914i | \(0.567023\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.72767 | − | 2.92242i | 0.0916952 | − | 0.155106i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.106611 | + | 0.00932728i | 0.00564247 | + | 0.000493652i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −4.35701 | − | 11.9708i | −0.229954 | − | 0.631794i | 0.770026 | − | 0.638012i | \(-0.220243\pi\) |
−0.999981 | + | 0.00621797i | \(0.998021\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 4.26711 | + | 18.5146i | 0.224585 | + | 0.974455i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0.420843 | − | 0.902501i | 0.0220885 | − | 0.0473690i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 4.33272 | − | 4.24430i | 0.226785 | − | 0.222157i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 17.5379 | + | 12.2802i | 0.915471 | + | 0.641019i | 0.933407 | − | 0.358820i | \(-0.116821\pi\) |
−0.0179363 | + | 0.999839i | \(0.505710\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −1.60421 | + | 2.77857i | −0.0835116 | + | 0.144646i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.604522 | + | 1.66091i | −0.0313852 | + | 0.0862302i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 0.303963 | + | 0.0814466i | 0.0157386 | + | 0.00421714i | 0.266680 | − | 0.963785i | \(-0.414073\pi\) |
−0.250941 | + | 0.968002i | \(0.580740\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −0.715908 | − | 0.361192i | −0.0369693 | − | 0.0186519i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −19.2996 | − | 27.5626i | −0.993978 | − | 1.41955i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −20.8232 | −1.06961 | −0.534807 | − | 0.844974i | \(-0.679616\pi\) | ||||
−0.534807 | + | 0.844974i | \(0.679616\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.617019 | −0.0316108 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −13.9437 | − | 19.9137i | −0.712490 | − | 1.01754i | −0.998244 | − | 0.0592385i | \(-0.981133\pi\) |
0.285754 | − | 0.958303i | \(-0.407756\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.71867 | + | 5.19598i | −0.189521 | + | 0.264812i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0.136817 | + | 0.0366599i | 0.00695478 | + | 0.00186353i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 3.75504 | − | 10.3169i | 0.190388 | − | 0.523087i | −0.807367 | − | 0.590049i | \(-0.799108\pi\) |
0.997756 | + | 0.0669621i | \(0.0213307\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5.43659 | − | 9.41645i | 0.274940 | − | 0.476211i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −0.626162 | − | 0.438443i | −0.0315857 | − | 0.0221165i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −0.240582 | + | 23.3364i | −0.0121050 | + | 1.17418i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.92469 | + | 6.27201i | −0.146786 | + | 0.314783i | −0.965930 | − | 0.258805i | \(-0.916671\pi\) |
0.819144 | + | 0.573588i | \(0.194449\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.0568546 | + | 0.169814i | −0.00284629 | + | 0.00850136i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 3.96508 | + | 10.8940i | 0.198006 | + | 0.544018i | 0.998466 | − | 0.0553686i | \(-0.0176334\pi\) |
−0.800460 | + | 0.599387i | \(0.795411\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −39.8866 | − | 3.48962i | −1.98689 | − | 0.173831i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 17.2347 | + | 10.1888i | 0.856400 | + | 0.506285i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −40.2024 | + | 10.7722i | −1.99276 | + | 0.533959i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 26.6419 | + | 9.69687i | 1.31736 | + | 0.479480i | 0.902611 | − | 0.430457i | \(-0.141647\pi\) |
0.414748 | + | 0.909936i | \(0.363870\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0.820023 | − | 0.473440i | 0.0404487 | − | 0.0233531i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 3.83782 | − | 0.335766i | 0.188847 | − | 0.0165219i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.12471 | − | 11.4899i | 0.0552097 | − | 0.564019i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −0.117002 | − | 0.117002i | −0.00572961 | − | 0.00572961i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − | 1.24051i | − | 0.0606030i | −0.999541 | − | 0.0303015i | \(-0.990353\pi\) | ||
0.999541 | − | 0.0303015i | \(-0.00964674\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4.78115 | + | 0.843045i | 0.233019 | + | 0.0410875i | 0.288938 | − | 0.957348i | \(-0.406698\pi\) |
−0.0559192 | + | 0.998435i | \(0.517809\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −3.11607 | − | 35.6168i | −0.151509 | − | 1.73175i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1.40241 | − | 12.9488i | 0.0680270 | − | 0.628107i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −4.32293 | + | 2.01581i | −0.209201 | + | 0.0975520i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 1.85226 | + | 1.06941i | 0.0894282 | + | 0.0516314i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 36.9361 | − | 6.51284i | 1.77915 | − | 0.313712i | 0.815078 | − | 0.579351i | \(-0.196694\pi\) |
0.964073 | + | 0.265639i | \(0.0855828\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 2.86329 | − | 32.7275i | 0.137601 | − | 1.57278i | −0.542748 | − | 0.839896i | \(-0.682616\pi\) |
0.680349 | − | 0.732888i | \(-0.261828\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.373025 | + | 0.821973i | 0.0178852 | + | 0.0394106i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 13.1956 | + | 12.5268i | 0.631229 | + | 0.599240i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 3.53203 | − | 1.28556i | 0.168575 | − | 0.0613562i | −0.256354 | − | 0.966583i | \(-0.582521\pi\) |
0.424929 | + | 0.905227i | \(0.360299\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −15.3066 | + | 12.8437i | −0.728884 | + | 0.611606i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −9.12007 | + | 13.0248i | −0.433308 | + | 0.618827i | −0.975121 | − | 0.221671i | \(-0.928849\pi\) |
0.541814 | + | 0.840498i | \(0.317738\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 7.29210 | + | 20.6963i | 0.345679 | + | 0.981097i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −0.402229 | − | 0.862582i | −0.0190248 | − | 0.0407987i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 14.2839 | + | 24.7405i | 0.674100 | + | 1.16758i | 0.976731 | + | 0.214468i | \(0.0688018\pi\) |
−0.302631 | + | 0.953108i | \(0.597865\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3.43515 | + | 4.09385i | −0.161755 | + | 0.192772i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0.490559 | − | 0.343493i | 0.0230485 | − | 0.0161387i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −5.81474 | − | 4.98219i | −0.272599 | − | 0.233569i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 8.36334 | − | 8.36334i | 0.391221 | − | 0.391221i | −0.483902 | − | 0.875122i | \(-0.660781\pi\) |
0.875122 | + | 0.483902i | \(0.160781\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0.194484 | − | 1.10297i | 0.00907775 | − | 0.0514825i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 1.22094 | + | 1.02449i | 0.0568650 | + | 0.0477154i | 0.670777 | − | 0.741659i | \(-0.265961\pi\) |
−0.613912 | + | 0.789374i | \(0.710405\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0.532428 | − | 1.98705i | 0.0247440 | − | 0.0923460i | −0.952450 | − | 0.304696i | \(-0.901445\pi\) |
0.977194 | + | 0.212350i | \(0.0681117\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 1.03459 | + | 0.288681i | 0.0479779 | + | 0.0133872i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 0.645474 | + | 2.40894i | 0.0298690 | + | 0.111472i | 0.979251 | − | 0.202652i | \(-0.0649559\pi\) |
−0.949382 | + | 0.314124i | \(0.898289\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.23074 | + | 6.97990i | 0.0568305 | + | 0.322302i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.10948 | + | 1.32223i | 0.0511224 | + | 0.0609252i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0.213825 | + | 0.0997083i | 0.00983169 | + | 0.00458459i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 20.5199 | + | 7.34399i | 0.941517 | + | 0.336965i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 8.37507 | + | 3.90536i | 0.383468 | + | 0.178814i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 4.40564 | + | 5.25044i | 0.201299 | + | 0.239899i | 0.857245 | − | 0.514909i | \(-0.172174\pi\) |
−0.655946 | + | 0.754808i | \(0.727730\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −8.66122 | − | 49.1202i | −0.394918 | − | 2.23969i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0.0443845 | + | 0.165645i | 0.00201956 | + | 0.00753711i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 23.9035 | + | 6.66977i | 1.08540 | + | 0.302859i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −2.21474 | + | 8.26552i | −0.100359 | + | 0.374547i | −0.997777 | − | 0.0666348i | \(-0.978774\pi\) |
0.897418 | + | 0.441181i | \(0.145440\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0.837953 | + | 0.703126i | 0.0378935 | + | 0.0317964i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −0.217133 | + | 1.23142i | −0.00979907 | + | 0.0555733i | −0.989315 | − | 0.145792i | \(-0.953427\pi\) |
0.979516 | + | 0.201366i | \(0.0645380\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −10.3674 | + | 10.3674i | −0.466922 | + | 0.466922i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 25.3678 | + | 21.7356i | 1.14020 | + | 0.976944i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −0.712411 | + | 0.498835i | −0.0319560 | + | 0.0223758i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 12.7954 | − | 15.2490i | 0.572802 | − | 0.682639i | −0.399402 | − | 0.916776i | \(-0.630782\pi\) |
0.972204 | + | 0.234137i | \(0.0752265\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −0.424639 | − | 0.735497i | −0.0189715 | − | 0.0328596i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 16.8891 | + | 36.2188i | 0.753047 | + | 1.61492i | 0.788113 | + | 0.615531i | \(0.211058\pi\) |
−0.0350656 | + | 0.999385i | \(0.511164\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −9.67667 | − | 27.4641i | −0.430606 | − | 1.22214i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −0.935373 | + | 1.33585i | −0.0415414 | + | 0.0593272i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −3.98835 | + | 3.34663i | −0.176781 | + | 0.148337i | −0.726885 | − | 0.686760i | \(-0.759033\pi\) |
0.550104 | + | 0.835096i | \(0.314588\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.46005 | + | 0.531416i | −0.0645890 | + | 0.0235085i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 1.71855 | + | 0.747632i | 0.0758759 | + | 0.0330088i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −17.5984 | − | 38.7786i | −0.775477 | − | 1.70879i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.19033 | − | 59.3257i | 0.228270 | − | 2.60914i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −0.387922 | + | 0.0684011i | −0.0170279 | + | 0.00300248i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 15.3289 | + | 8.85013i | 0.671570 | + | 0.387731i | 0.796671 | − | 0.604413i | \(-0.206592\pi\) |
−0.125101 | + | 0.992144i | \(0.539926\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 5.22571 | − | 2.43679i | 0.228504 | − | 0.106553i | −0.304994 | − | 0.952354i | \(-0.598655\pi\) |
0.533499 | + | 0.845801i | \(0.320877\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.128768 | + | 0.160048i | 0.00561989 | + | 0.00698507i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 1.52057 | + | 17.3801i | 0.0662369 | + | 0.757091i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −5.49189 | − | 0.968369i | −0.238778 | − | 0.0421030i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | − | 20.1415i | − | 0.874068i | ||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −4.52859 | − | 4.52859i | −0.196155 | − | 0.196155i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.90179 | − | 29.6445i | 0.125455 | − | 1.28164i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −0.458239 | + | 0.0400907i | −0.0197745 | + | 0.00173004i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −28.8232 | + | 16.6411i | −1.24150 | + | 0.716781i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 26.6241 | + | 9.69037i | 1.14466 | + | 0.416622i | 0.843594 | − | 0.536982i | \(-0.180436\pi\) |
0.301065 | + | 0.953604i | \(0.402658\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −0.203852 | + | 0.0546220i | −0.00874813 | + | 0.00234405i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −31.8466 | − | 18.8270i | −1.36416 | − | 0.806461i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 42.3890 | + | 3.70855i | 1.81242 | + | 0.158566i | 0.942409 | − | 0.334464i | \(-0.108555\pi\) |
0.870012 | + | 0.493030i | \(0.164111\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 8.52915 | + | 23.4337i | 0.364015 | + | 1.00012i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −12.8151 | − | 20.9211i | −0.545940 | − | 0.891270i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 2.52664 | − | 5.41841i | 0.107444 | − | 0.230414i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −0.0137937 | + | 1.33799i | −0.000585509 | + | 0.0567944i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −12.3103 | − | 8.61976i | −0.521604 | − | 0.365231i | 0.282927 | − | 0.959141i | \(-0.408695\pi\) |
−0.804531 | + | 0.593910i | \(0.797583\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.141369 | + | 0.244858i | −0.00597926 | + | 0.0103564i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0.318750 | − | 0.875759i | 0.0134576 | − | 0.0369746i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 17.4882 | + | 4.68595i | 0.737040 | + | 0.197489i | 0.607762 | − | 0.794119i | \(-0.292067\pi\) |
0.129278 | + | 0.991608i | \(0.458734\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 9.42926 | − | 13.1752i | 0.396692 | − | 0.554284i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −2.94184 | − | 4.20138i | −0.123546 | − | 0.176441i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 15.0164 | 0.629521 | 0.314761 | − | 0.949171i | \(-0.398076\pi\) | ||||
0.314761 | + | 0.949171i | \(0.398076\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −38.2880 | −1.60230 | −0.801152 | − | 0.598461i | \(-0.795779\pi\) | ||||
−0.801152 | + | 0.598461i | \(0.795779\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0.478194 | + | 0.682931i | 0.0199768 | + | 0.0285299i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 20.2666 | − | 4.98496i | 0.845175 | − | 0.207887i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 13.5324 | + | 3.62600i | 0.563362 | + | 0.150952i | 0.529251 | − | 0.848466i | \(-0.322473\pi\) |
0.0341116 | + | 0.999418i | \(0.489140\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0.141112 | − | 0.387701i | 0.00586441 | − | 0.0161123i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −1.47876 | + | 2.56128i | −0.0613492 | + | 0.106260i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 12.6085 | + | 8.82860i | 0.522192 | + | 0.365643i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −28.5984 | + | 28.0147i | −1.18240 | + | 1.15827i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −18.4152 | + | 39.4915i | −0.760076 | + | 1.62999i | 0.0164193 | + | 0.999865i | \(0.494773\pi\) |
−0.776495 | + | 0.630123i | \(0.783004\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −28.8726 | − | 4.32059i | −1.18968 | − | 0.178027i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −0.356217 | − | 0.978698i | −0.0146528 | − | 0.0402583i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 0.438269 | + | 0.0383436i | 0.0179976 | + | 0.00157458i | 0.0961510 | − | 0.995367i | \(-0.469347\pi\) |
−0.0781534 | + | 0.996941i | \(0.524902\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.69798 | + | 2.87220i | −0.0696104 | + | 0.117749i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0.574971 | − | 0.154063i | 0.0235320 | − | 0.00630538i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 32.7408 | + | 11.9167i | 1.33775 | + | 0.486903i | 0.909105 | − | 0.416568i | \(-0.136767\pi\) |
0.428650 | + | 0.903471i | \(0.358989\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6.31556 | − | 3.64629i | 0.257617 | − | 0.148735i | −0.365630 | − | 0.930760i | \(-0.619146\pi\) |
0.623247 | + | 0.782025i | \(0.285813\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 36.9143 | − | 3.22958i | 1.50327 | − | 0.131519i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 19.7100 | + | 23.9874i | 0.801327 | + | 0.975227i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −10.3411 | − | 10.3411i | −0.419731 | − | 0.419731i | 0.465380 | − | 0.885111i | \(-0.345918\pi\) |
−0.885111 | + | 0.465380i | \(0.845918\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | − | 0.231239i | − | 0.00937027i | ||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 70.2831 | + | 12.3928i | 2.84335 | + | 0.501359i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 0.736274 | + | 8.41565i | 0.0297378 | + | 0.339905i | 0.996459 | + | 0.0840744i | \(0.0267933\pi\) |
−0.966722 | + | 0.255830i | \(0.917651\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0.0970891 | + | 0.141745i | 0.00391501 | + | 0.00571573i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −20.6417 | + | 9.62538i | −0.831003 | + | 0.387503i | −0.791090 | − | 0.611700i | \(-0.790486\pi\) |
−0.0399132 | + | 0.999203i | \(0.512708\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 8.52728 | + | 4.92323i | 0.342740 | + | 0.197881i | 0.661483 | − | 0.749960i | \(-0.269927\pi\) |
−0.318743 | + | 0.947841i | \(0.603261\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 1.76743 | − | 0.311645i | 0.0709244 | − | 0.0125059i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0.489934 | − | 5.59997i | 0.0196288 | − | 0.224358i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 19.7973 | − | 15.2665i | 0.791892 | − | 0.610662i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 1.30028 | + | 0.860990i | 0.0519283 | + | 0.0343846i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −20.4231 | + | 7.43340i | −0.814322 | + | 0.296389i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 5.13721 | − | 4.31063i | 0.204509 | − | 0.171604i | −0.534781 | − | 0.844991i | \(-0.679606\pi\) |
0.739290 | + | 0.673387i | \(0.235161\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −0.155867 | + | 0.222601i | −0.00619514 | + | 0.00884758i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 8.30923 | − | 17.3500i | 0.329742 | − | 0.688512i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −16.8562 | − | 36.1482i | −0.667867 | − | 1.43225i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 2.27347 | + | 3.93776i | 0.0899369 | + | 0.155775i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 8.88258 | − | 10.5859i | 0.350841 | − | 0.418116i | −0.561545 | − | 0.827446i | \(-0.689793\pi\) |
0.912386 | + | 0.409330i | \(0.134237\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −13.2318 | + | 9.26501i | −0.521811 | + | 0.365376i | −0.804610 | − | 0.593803i | \(-0.797626\pi\) |
0.282799 | + | 0.959179i | \(0.408737\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0.00493511 | − | 0.00575979i | 0.000194320 | − | 0.000226792i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 3.83578 | − | 3.83578i | 0.150800 | − | 0.150800i | −0.627675 | − | 0.778475i | \(-0.715993\pi\) |
0.778475 | + | 0.627675i | \(0.215993\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 5.82573 | − | 33.0394i | 0.228680 | − | 1.29691i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.210786 | − | 0.176870i | −0.00826134 | − | 0.00693209i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 7.73897 | − | 28.8822i | 0.302849 | − | 1.13025i | −0.631931 | − | 0.775024i | \(-0.717738\pi\) |
0.934781 | − | 0.355225i | \(-0.115596\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 20.7609 | − | 11.7026i | 0.811197 | − | 0.457260i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 2.10248 | + | 7.84656i | 0.0820255 | + | 0.306123i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −6.63747 | − | 37.6429i | −0.258559 | − | 1.46636i | −0.786769 | − | 0.617247i | \(-0.788248\pi\) |
0.528210 | − | 0.849114i | \(-0.322863\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −26.4831 | − | 31.5613i | −1.03007 | − | 1.22759i | −0.973379 | − | 0.229201i | \(-0.926389\pi\) |
−0.0566935 | − | 0.998392i | \(-0.518056\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 1.01222 | + | 0.472006i | 0.0393114 | + | 0.0183312i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −4.00937 | − | 3.88554i | −0.155477 | − | 0.150675i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −21.2929 | − | 9.92903i | −0.824463 | − | 0.384454i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −0.340427 | − | 0.405705i | −0.0131617 | − | 0.0156855i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 7.21294 | + | 40.9066i | 0.278452 | + | 1.57918i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 4.82374 | + | 18.0025i | 0.185942 | + | 0.693944i | 0.994427 | + | 0.105427i | \(0.0336210\pi\) |
−0.808485 | + | 0.588516i | \(0.799712\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 1.78604 | − | 1.19649i | 0.0687448 | − | 0.0460531i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −6.35350 | + | 23.7116i | −0.244185 | + | 0.911310i | 0.729607 | + | 0.683867i | \(0.239703\pi\) |
−0.973791 | + | 0.227443i | \(0.926963\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −4.87006 | − | 4.08646i | −0.186896 | − | 0.156824i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0.0230044 | − | 0.130464i | 0.000881529 | − | 0.00499940i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 28.1129 | − | 28.1129i | 1.07571 | − | 1.07571i | 0.0788208 | − | 0.996889i | \(-0.474885\pi\) |
0.996889 | − | 0.0788208i | \(-0.0251155\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.26964 | + | 29.4339i | 0.0867187 | + | 1.12461i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −0.433668 | + | 0.303658i | −0.0165455 | + | 0.0115853i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −11.8568 | + | 14.1304i | −0.451709 | + | 0.538326i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 13.5908 | + | 23.5400i | 0.517019 | + | 0.895504i | 0.999805 | + | 0.0197651i | \(0.00629184\pi\) |
−0.482785 | + | 0.875739i | \(0.660375\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −3.61669 | − | 7.75602i | −0.137387 | − | 0.294627i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 4.86561 | − | 1.71434i | 0.184563 | − | 0.0650288i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.60065 | + | 2.28596i | −0.0606289 | + | 0.0865870i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −0.798535 | + | 0.670051i | −0.0302034 | + | 0.0253436i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −1.93424 | + | 0.704004i | −0.0730551 | + | 0.0265899i | −0.378289 | − | 0.925687i | \(-0.623488\pi\) |
0.305234 | + | 0.952277i | \(0.401265\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −4.11020 | − | 36.1352i | −0.155019 | − | 1.36287i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −1.79224 | − | 0.673324i | −0.0674995 | − | 0.0253588i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −0.650146 | + | 7.43120i | −0.0244512 | + | 0.279479i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 14.9459 | − | 2.63537i | 0.561307 | − | 0.0989735i | 0.114206 | − | 0.993457i | \(-0.463568\pi\) |
0.447101 | + | 0.894484i | \(0.352457\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −27.0694 | − | 15.6285i | −1.01518 | − | 0.586116i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −25.3373 | + | 11.8150i | −0.948890 | + | 0.442475i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −55.0146 | + | 37.6824i | −2.05743 | + | 1.40924i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −0.131757 | − | 1.50599i | −0.00492056 | − | 0.0562422i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 8.98563 | + | 1.58441i | 0.335107 | + | 0.0590885i | 0.338670 | − | 0.940905i | \(-0.390023\pi\) |
−0.00356275 | + | 0.999994i | \(0.501134\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 10.9093i | 0.406282i | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −0.127740 | − | 0.127740i | −0.00475070 | − | 0.00475070i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −28.1365 | − | 0.580196i | −1.04496 | − | 0.0215479i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −21.5075 | + | 1.88166i | −0.797668 | + | 0.0697869i | −0.478700 | − | 0.877978i | \(-0.658892\pi\) |
−0.318968 | + | 0.947765i | \(0.603336\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −23.1425 | + | 13.3613i | −0.857129 | + | 0.494863i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.115770 | + | 0.0421368i | 0.00428190 | + | 0.00155849i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −0.903059 | + | 0.241974i | −0.0333552 | + | 0.00893751i | −0.275458 | − | 0.961313i | \(-0.588830\pi\) |
0.242103 | + | 0.970251i | \(0.422163\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0.266263 | + | 1.03633i | 0.00982127 | + | 0.0382254i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 61.4868 | + | 5.37940i | 2.26490 | + | 0.198153i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2.32373 | − | 6.38438i | −0.0854796 | − | 0.234853i | 0.889587 | − | 0.456766i | \(-0.150992\pi\) |
−0.975067 | + | 0.221913i | \(0.928770\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −1.16369 | + | 1.46240i | −0.0427493 | + | 0.0537225i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −16.9052 | + | 36.2534i | −0.620193 | + | 1.33001i | 0.305665 | + | 0.952139i | \(0.401121\pi\) |
−0.925859 | + | 0.377870i | \(0.876657\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 29.6716 | + | 0.305893i | 1.08708 | + | 0.0112071i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 12.6661 | + | 8.86892i | 0.463429 | + | 0.324497i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −3.81525 | + | 6.60821i | −0.139406 | + | 0.241459i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.286639 | − | 0.787535i | 0.0104596 | − | 0.0287375i | −0.934353 | − | 0.356349i | \(-0.884021\pi\) |
0.944813 | + | 0.327611i | \(0.106244\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0.967573 | + | 0.259260i | 0.0352603 | + | 0.00944797i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 3.05246 | + | 18.4197i | 0.111090 | + | 0.670363i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −16.2384 | − | 23.1908i | −0.590194 | − | 0.842885i | 0.407325 | − | 0.913283i | \(-0.366462\pi\) |
−0.997519 | + | 0.0703986i | \(0.977573\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 1.49340 | 0.0542068 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −30.2473 | −1.09646 | −0.548232 | − | 0.836326i | \(-0.684699\pi\) | ||||
−0.548232 | + | 0.836326i | \(0.684699\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 5.43598 | + | 7.76339i | 0.196796 | + | 0.281054i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 14.1856 | + | 10.1524i | 0.512880 | + | 0.367060i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 38.8351 | + | 10.4058i | 1.40225 | + | 0.375733i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 13.7767 | − | 37.8512i | 0.496801 | − | 1.36495i | −0.397549 | − | 0.917581i | \(-0.630139\pi\) |
0.894350 | − | 0.447369i | \(-0.147639\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −0.497605 | + | 0.861877i | −0.0179208 | + | 0.0310398i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 16.3872 | + | 11.4745i | 0.589408 | + | 0.412708i | 0.829875 | − | 0.557949i | \(-0.188412\pi\) |
−0.240467 | + | 0.970657i | \(0.577301\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −22.0499 | + | 25.2040i | −0.792057 | + | 0.905355i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0.144864 | − | 0.310663i | 0.00519698 | − | 0.0111450i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −3.09359 | − | 3.49800i | −0.110839 | − | 0.125329i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.59034 | + | 7.11691i | 0.0926898 | + | 0.254663i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −2.41079 | − | 0.210917i | −0.0861548 | − | 0.00753757i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −52.1210 | + | 13.3915i | −1.86028 | + | 0.477961i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 33.4836 | − | 8.97190i | 1.19356 | − | 0.319814i | 0.393268 | − | 0.919424i | \(-0.371344\pi\) |
0.800292 | + | 0.599610i | \(0.204678\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −1.56518 | − | 0.569679i | −0.0557219 | − | 0.0202811i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −3.59444 | + | 2.07525i | −0.127804 | + |