Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [390,2,Mod(7,390)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(390, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("390.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 390.bd (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.11416567883\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} + \cdots + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 7.1 | ||
Root | \(0.792206 - 1.03242i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 390.7 |
Dual form | 390.2.bd.b.223.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).
\(n\) | \(131\) | \(157\) | \(301\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{11}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | + | 0.500000i | 0.612372 | + | 0.353553i | ||||
\(3\) | −0.258819 | − | 0.965926i | −0.149429 | − | 0.557678i | ||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | −1.54620 | + | 1.61532i | −0.691482 | + | 0.722393i | ||||
\(6\) | 0.258819 | − | 0.965926i | 0.105662 | − | 0.394338i | ||||
\(7\) | 0.954985 | + | 1.65408i | 0.360951 | + | 0.625185i | 0.988118 | − | 0.153700i | \(-0.0491190\pi\) |
−0.627167 | + | 0.778885i | \(0.715786\pi\) | |||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | −0.866025 | + | 0.500000i | −0.288675 | + | 0.166667i | ||||
\(10\) | −2.14671 | + | 0.625808i | −0.678849 | + | 0.197898i | ||||
\(11\) | 0.562653 | + | 2.09985i | 0.169646 | + | 0.633128i | 0.997402 | + | 0.0720394i | \(0.0229507\pi\) |
−0.827756 | + | 0.561089i | \(0.810383\pi\) | |||||||
\(12\) | 0.707107 | − | 0.707107i | 0.204124 | − | 0.204124i | ||||
\(13\) | 2.33147 | + | 2.75032i | 0.646633 | + | 0.762801i | ||||
\(14\) | 1.90997i | 0.510461i | ||||||||
\(15\) | 1.96047 | + | 1.07544i | 0.506190 | + | 0.277677i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −0.597215 | − | 0.160023i | −0.144846 | − | 0.0388114i | 0.185668 | − | 0.982613i | \(-0.440555\pi\) |
−0.330514 | + | 0.943801i | \(0.607222\pi\) | |||||||
\(18\) | −1.00000 | −0.235702 | ||||||||
\(19\) | 3.46041 | + | 0.927215i | 0.793874 | + | 0.212718i | 0.632892 | − | 0.774240i | \(-0.281868\pi\) |
0.160981 | + | 0.986957i | \(0.448534\pi\) | |||||||
\(20\) | −2.17201 | − | 0.531389i | −0.485676 | − | 0.118822i | ||||
\(21\) | 1.35055 | − | 1.35055i | 0.294715 | − | 0.294715i | ||||
\(22\) | −0.562653 | + | 2.09985i | −0.119958 | + | 0.447689i | ||||
\(23\) | −0.653459 | + | 0.175094i | −0.136256 | + | 0.0365096i | −0.326302 | − | 0.945265i | \(-0.605803\pi\) |
0.190047 | + | 0.981775i | \(0.439136\pi\) | |||||||
\(24\) | 0.965926 | − | 0.258819i | 0.197169 | − | 0.0528312i | ||||
\(25\) | −0.218523 | − | 4.99522i | −0.0437047 | − | 0.999044i | ||||
\(26\) | 0.643951 | + | 3.54758i | 0.126289 | + | 0.695738i | ||||
\(27\) | 0.707107 | + | 0.707107i | 0.136083 | + | 0.136083i | ||||
\(28\) | −0.954985 | + | 1.65408i | −0.180475 | + | 0.312592i | ||||
\(29\) | −2.93087 | − | 1.69214i | −0.544249 | − | 0.314222i | 0.202550 | − | 0.979272i | \(-0.435077\pi\) |
−0.746799 | + | 0.665050i | \(0.768410\pi\) | |||||||
\(30\) | 1.16009 | + | 1.91159i | 0.211803 | + | 0.349007i | ||||
\(31\) | 0.691834 | + | 0.691834i | 0.124257 | + | 0.124257i | 0.766501 | − | 0.642244i | \(-0.221996\pi\) |
−0.642244 | + | 0.766501i | \(0.721996\pi\) | |||||||
\(32\) | −0.866025 | + | 0.500000i | −0.153093 | + | 0.0883883i | ||||
\(33\) | 1.88267 | − | 1.08696i | 0.327731 | − | 0.189216i | ||||
\(34\) | −0.437192 | − | 0.437192i | −0.0749778 | − | 0.0749778i | ||||
\(35\) | −4.14847 | − | 1.01494i | −0.701220 | − | 0.171556i | ||||
\(36\) | −0.866025 | − | 0.500000i | −0.144338 | − | 0.0833333i | ||||
\(37\) | 1.42784 | − | 2.47309i | 0.234735 | − | 0.406573i | −0.724460 | − | 0.689316i | \(-0.757911\pi\) |
0.959196 | + | 0.282743i | \(0.0912443\pi\) | |||||||
\(38\) | 2.53320 | + | 2.53320i | 0.410939 | + | 0.410939i | ||||
\(39\) | 2.05318 | − | 2.96386i | 0.328771 | − | 0.474598i | ||||
\(40\) | −1.61532 | − | 1.54620i | −0.255405 | − | 0.244476i | ||||
\(41\) | 7.83418 | − | 2.09916i | 1.22349 | − | 0.327834i | 0.411450 | − | 0.911432i | \(-0.365022\pi\) |
0.812043 | + | 0.583598i | \(0.198356\pi\) | |||||||
\(42\) | 1.84489 | − | 0.494337i | 0.284673 | − | 0.0762778i | ||||
\(43\) | −0.901681 | + | 3.36512i | −0.137505 | + | 0.513176i | 0.862470 | + | 0.506108i | \(0.168916\pi\) |
−0.999975 | + | 0.00706771i | \(0.997750\pi\) | |||||||
\(44\) | −1.53720 | + | 1.53720i | −0.231741 | + | 0.231741i | ||||
\(45\) | 0.531389 | − | 2.17201i | 0.0792148 | − | 0.323784i | ||||
\(46\) | −0.653459 | − | 0.175094i | −0.0963473 | − | 0.0258162i | ||||
\(47\) | −10.8506 | −1.58273 | −0.791365 | − | 0.611344i | \(-0.790629\pi\) | ||||
−0.791365 | + | 0.611344i | \(0.790629\pi\) | |||||||
\(48\) | 0.965926 | + | 0.258819i | 0.139419 | + | 0.0373573i | ||||
\(49\) | 1.67601 | − | 2.90293i | 0.239429 | − | 0.414704i | ||||
\(50\) | 2.30836 | − | 4.43525i | 0.326452 | − | 0.627239i | ||||
\(51\) | 0.618283i | 0.0865769i | ||||||||
\(52\) | −1.21611 | + | 3.39427i | −0.168644 | + | 0.470701i | ||||
\(53\) | −1.54550 | + | 1.54550i | −0.212290 | + | 0.212290i | −0.805240 | − | 0.592949i | \(-0.797963\pi\) |
0.592949 | + | 0.805240i | \(0.297963\pi\) | |||||||
\(54\) | 0.258819 | + | 0.965926i | 0.0352208 | + | 0.131446i | ||||
\(55\) | −4.26190 | − | 2.33792i | −0.574675 | − | 0.315246i | ||||
\(56\) | −1.65408 | + | 0.954985i | −0.221036 | + | 0.127615i | ||||
\(57\) | − | 3.58249i | − | 0.474512i | ||||||
\(58\) | −1.69214 | − | 2.93087i | −0.222189 | − | 0.384842i | ||||
\(59\) | 3.75207 | − | 14.0029i | 0.488478 | − | 1.82302i | −0.0753830 | − | 0.997155i | \(-0.524018\pi\) |
0.563861 | − | 0.825870i | \(-0.309315\pi\) | |||||||
\(60\) | 0.0488750 | + | 2.23553i | 0.00630973 | + | 0.288606i | ||||
\(61\) | −2.85745 | − | 4.94925i | −0.365859 | − | 0.633687i | 0.623055 | − | 0.782178i | \(-0.285891\pi\) |
−0.988914 | + | 0.148492i | \(0.952558\pi\) | |||||||
\(62\) | 0.253229 | + | 0.945063i | 0.0321601 | + | 0.120023i | ||||
\(63\) | −1.65408 | − | 0.954985i | −0.208395 | − | 0.120317i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −8.04757 | − | 0.486477i | −0.998178 | − | 0.0603401i | ||||
\(66\) | 2.17392 | 0.267591 | ||||||||
\(67\) | 5.07155 | + | 2.92806i | 0.619588 | + | 0.357719i | 0.776709 | − | 0.629860i | \(-0.216888\pi\) |
−0.157120 | + | 0.987579i | \(0.550221\pi\) | |||||||
\(68\) | −0.160023 | − | 0.597215i | −0.0194057 | − | 0.0724230i | ||||
\(69\) | 0.338255 | + | 0.585876i | 0.0407212 | + | 0.0705311i | ||||
\(70\) | −3.08522 | − | 2.95320i | −0.368754 | − | 0.352975i | ||||
\(71\) | −1.78054 | + | 6.64505i | −0.211311 | + | 0.788622i | 0.776122 | + | 0.630583i | \(0.217184\pi\) |
−0.987433 | + | 0.158039i | \(0.949483\pi\) | |||||||
\(72\) | −0.500000 | − | 0.866025i | −0.0589256 | − | 0.102062i | ||||
\(73\) | − | 2.15267i | − | 0.251951i | −0.992033 | − | 0.125976i | \(-0.959794\pi\) | ||
0.992033 | − | 0.125976i | \(-0.0402061\pi\) | |||||||
\(74\) | 2.47309 | − | 1.42784i | 0.287491 | − | 0.165983i | ||||
\(75\) | −4.76846 | + | 1.50394i | −0.550614 | + | 0.173660i | ||||
\(76\) | 0.927215 | + | 3.46041i | 0.106359 | + | 0.396937i | ||||
\(77\) | −2.93600 | + | 2.93600i | −0.334588 | + | 0.334588i | ||||
\(78\) | 3.26003 | − | 1.54019i | 0.369126 | − | 0.174392i | ||||
\(79\) | − | 5.11418i | − | 0.575390i | −0.957722 | − | 0.287695i | \(-0.907111\pi\) | ||
0.957722 | − | 0.287695i | \(-0.0928890\pi\) | |||||||
\(80\) | −0.625808 | − | 2.14671i | −0.0699675 | − | 0.240009i | ||||
\(81\) | 0.500000 | − | 0.866025i | 0.0555556 | − | 0.0962250i | ||||
\(82\) | 7.83418 | + | 2.09916i | 0.865140 | + | 0.231814i | ||||
\(83\) | −3.84261 | −0.421781 | −0.210891 | − | 0.977510i | \(-0.567636\pi\) | ||||
−0.210891 | + | 0.977510i | \(0.567636\pi\) | |||||||
\(84\) | 1.84489 | + | 0.494337i | 0.201294 | + | 0.0539366i | ||||
\(85\) | 1.18190 | − | 0.717266i | 0.128196 | − | 0.0777984i | ||||
\(86\) | −2.46344 | + | 2.46344i | −0.265639 | + | 0.265639i | ||||
\(87\) | −0.875916 | + | 3.26896i | −0.0939080 | + | 0.350470i | ||||
\(88\) | −2.09985 | + | 0.562653i | −0.223845 | + | 0.0599790i | ||||
\(89\) | 0.804636 | − | 0.215602i | 0.0852912 | − | 0.0228537i | −0.215921 | − | 0.976411i | \(-0.569275\pi\) |
0.301212 | + | 0.953557i | \(0.402609\pi\) | |||||||
\(90\) | 1.54620 | − | 1.61532i | 0.162984 | − | 0.170270i | ||||
\(91\) | −2.32274 | + | 6.48296i | −0.243489 | + | 0.679599i | ||||
\(92\) | −0.478365 | − | 0.478365i | −0.0498730 | − | 0.0498730i | ||||
\(93\) | 0.489200 | − | 0.847320i | 0.0507277 | − | 0.0878630i | ||||
\(94\) | −9.39693 | − | 5.42532i | −0.969220 | − | 0.559579i | ||||
\(95\) | −6.84825 | + | 4.15602i | −0.702615 | + | 0.426399i | ||||
\(96\) | 0.707107 | + | 0.707107i | 0.0721688 | + | 0.0721688i | ||||
\(97\) | 15.8707 | − | 9.16293i | 1.61142 | − | 0.930354i | 0.622380 | − | 0.782715i | \(-0.286166\pi\) |
0.989041 | − | 0.147639i | \(-0.0471674\pi\) | |||||||
\(98\) | 2.90293 | − | 1.67601i | 0.293240 | − | 0.169302i | ||||
\(99\) | −1.53720 | − | 1.53720i | −0.154494 | − | 0.154494i | ||||
\(100\) | 4.21673 | − | 2.68686i | 0.421673 | − | 0.268686i | ||||
\(101\) | 14.6508 | + | 8.45864i | 1.45781 | + | 0.841666i | 0.998903 | − | 0.0468187i | \(-0.0149083\pi\) |
0.458906 | + | 0.888485i | \(0.348242\pi\) | |||||||
\(102\) | −0.309141 | + | 0.535449i | −0.0306096 | + | 0.0530173i | ||||
\(103\) | −3.60087 | − | 3.60087i | −0.354804 | − | 0.354804i | 0.507090 | − | 0.861893i | \(-0.330721\pi\) |
−0.861893 | + | 0.507090i | \(0.830721\pi\) | |||||||
\(104\) | −2.75032 | + | 2.33147i | −0.269691 | + | 0.228619i | ||||
\(105\) | 0.0933498 | + | 4.26980i | 0.00911001 | + | 0.416690i | ||||
\(106\) | −2.11119 | + | 0.565691i | −0.205057 | + | 0.0549448i | ||||
\(107\) | −9.21566 | + | 2.46933i | −0.890911 | + | 0.238719i | −0.675109 | − | 0.737718i | \(-0.735903\pi\) |
−0.215802 | + | 0.976437i | \(0.569237\pi\) | |||||||
\(108\) | −0.258819 | + | 0.965926i | −0.0249049 | + | 0.0929463i | ||||
\(109\) | 9.88219 | − | 9.88219i | 0.946542 | − | 0.946542i | −0.0520997 | − | 0.998642i | \(-0.516591\pi\) |
0.998642 | + | 0.0520997i | \(0.0165914\pi\) | |||||||
\(110\) | −2.52196 | − | 4.15565i | −0.240459 | − | 0.396226i | ||||
\(111\) | −2.75837 | − | 0.739104i | −0.261813 | − | 0.0701526i | ||||
\(112\) | −1.90997 | −0.180475 | ||||||||
\(113\) | −13.0170 | − | 3.48791i | −1.22454 | − | 0.328115i | −0.412089 | − | 0.911144i | \(-0.635201\pi\) |
−0.812451 | + | 0.583029i | \(0.801867\pi\) | |||||||
\(114\) | 1.79124 | − | 3.10252i | 0.167765 | − | 0.290578i | ||||
\(115\) | 0.727547 | − | 1.32628i | 0.0678441 | − | 0.123676i | ||||
\(116\) | − | 3.38428i | − | 0.314222i | ||||||
\(117\) | −3.39427 | − | 1.21611i | −0.313800 | − | 0.112430i | ||||
\(118\) | 10.2508 | − | 10.2508i | 0.943667 | − | 0.943667i | ||||
\(119\) | −0.305640 | − | 1.14066i | −0.0280180 | − | 0.104564i | ||||
\(120\) | −1.07544 | + | 1.96047i | −0.0981738 | + | 0.178965i | ||||
\(121\) | 5.43349 | − | 3.13703i | 0.493954 | − | 0.285184i | ||||
\(122\) | − | 5.71490i | − | 0.517403i | ||||||
\(123\) | −4.05527 | − | 7.02393i | −0.365651 | − | 0.633327i | ||||
\(124\) | −0.253229 | + | 0.945063i | −0.0227406 | + | 0.0848691i | ||||
\(125\) | 8.40677 | + | 7.37063i | 0.751924 | + | 0.659250i | ||||
\(126\) | −0.954985 | − | 1.65408i | −0.0850769 | − | 0.147357i | ||||
\(127\) | 3.55123 | + | 13.2534i | 0.315121 | + | 1.17605i | 0.923877 | + | 0.382690i | \(0.125002\pi\) |
−0.608756 | + | 0.793357i | \(0.708331\pi\) | |||||||
\(128\) | −0.866025 | − | 0.500000i | −0.0765466 | − | 0.0441942i | ||||
\(129\) | 3.48383 | 0.306734 | ||||||||
\(130\) | −6.72616 | − | 4.44509i | −0.589923 | − | 0.389860i | ||||
\(131\) | 16.6377 | 1.45364 | 0.726820 | − | 0.686828i | \(-0.240997\pi\) | ||||
0.726820 | + | 0.686828i | \(0.240997\pi\) | |||||||
\(132\) | 1.88267 | + | 1.08696i | 0.163866 | + | 0.0946079i | ||||
\(133\) | 1.77095 | + | 6.60929i | 0.153561 | + | 0.573098i | ||||
\(134\) | 2.92806 | + | 5.07155i | 0.252946 | + | 0.438115i | ||||
\(135\) | −2.23553 | + | 0.0488750i | −0.192404 | + | 0.00420649i | ||||
\(136\) | 0.160023 | − | 0.597215i | 0.0137219 | − | 0.0512108i | ||||
\(137\) | −4.12352 | − | 7.14214i | −0.352296 | − | 0.610195i | 0.634355 | − | 0.773042i | \(-0.281266\pi\) |
−0.986651 | + | 0.162847i | \(0.947932\pi\) | |||||||
\(138\) | 0.676511i | 0.0575884i | ||||||||
\(139\) | 12.7043 | − | 7.33484i | 1.07757 | − | 0.622133i | 0.147328 | − | 0.989088i | \(-0.452933\pi\) |
0.930239 | + | 0.366954i | \(0.119599\pi\) | |||||||
\(140\) | −1.19528 | − | 4.10015i | −0.101019 | − | 0.346526i | ||||
\(141\) | 2.80835 | + | 10.4809i | 0.236506 | + | 0.882653i | ||||
\(142\) | −4.86451 | + | 4.86451i | −0.408221 | + | 0.408221i | ||||
\(143\) | −4.46345 | + | 6.44321i | −0.373252 | + | 0.538808i | ||||
\(144\) | − | 1.00000i | − | 0.0833333i | ||||||
\(145\) | 7.26507 | − | 2.11791i | 0.603331 | − | 0.175883i | ||||
\(146\) | 1.07634 | − | 1.86427i | 0.0890782 | − | 0.154288i | ||||
\(147\) | −3.23780 | − | 0.867565i | −0.267049 | − | 0.0715555i | ||||
\(148\) | 2.85568 | 0.234735 | ||||||||
\(149\) | 12.3571 | + | 3.31108i | 1.01233 | + | 0.271254i | 0.726605 | − | 0.687056i | \(-0.241097\pi\) |
0.285730 | + | 0.958310i | \(0.407764\pi\) | |||||||
\(150\) | −4.88157 | − | 1.08178i | −0.398579 | − | 0.0883271i | ||||
\(151\) | −14.5027 | + | 14.5027i | −1.18021 | + | 1.18021i | −0.200521 | + | 0.979690i | \(0.564263\pi\) |
−0.979690 | + | 0.200521i | \(0.935737\pi\) | |||||||
\(152\) | −0.927215 | + | 3.46041i | −0.0752071 | + | 0.280677i | ||||
\(153\) | 0.597215 | − | 0.160023i | 0.0482820 | − | 0.0129371i | ||||
\(154\) | −4.01065 | + | 1.07465i | −0.323187 | + | 0.0865978i | ||||
\(155\) | −2.18725 | + | 0.0478193i | −0.175684 | + | 0.00384094i | ||||
\(156\) | 3.59337 | + | 0.296172i | 0.287700 | + | 0.0237128i | ||||
\(157\) | 6.10791 | + | 6.10791i | 0.487464 | + | 0.487464i | 0.907505 | − | 0.420041i | \(-0.137984\pi\) |
−0.420041 | + | 0.907505i | \(0.637984\pi\) | |||||||
\(158\) | 2.55709 | − | 4.42901i | 0.203431 | − | 0.352353i | ||||
\(159\) | 1.89284 | + | 1.09283i | 0.150112 | + | 0.0866672i | ||||
\(160\) | 0.531389 | − | 2.17201i | 0.0420100 | − | 0.171712i | ||||
\(161\) | −0.913664 | − | 0.913664i | −0.0720068 | − | 0.0720068i | ||||
\(162\) | 0.866025 | − | 0.500000i | 0.0680414 | − | 0.0392837i | ||||
\(163\) | −9.09558 | + | 5.25134i | −0.712421 | + | 0.411316i | −0.811957 | − | 0.583718i | \(-0.801598\pi\) |
0.0995359 | + | 0.995034i | \(0.468264\pi\) | |||||||
\(164\) | 5.73502 | + | 5.73502i | 0.447830 | + | 0.447830i | ||||
\(165\) | −1.15520 | + | 4.72178i | −0.0899321 | + | 0.367590i | ||||
\(166\) | −3.32780 | − | 1.92131i | −0.258287 | − | 0.149122i | ||||
\(167\) | 3.47597 | − | 6.02056i | 0.268979 | − | 0.465885i | −0.699620 | − | 0.714516i | \(-0.746647\pi\) |
0.968598 | + | 0.248630i | \(0.0799805\pi\) | |||||||
\(168\) | 1.35055 | + | 1.35055i | 0.104197 | + | 0.104197i | ||||
\(169\) | −2.12851 | + | 12.8246i | −0.163732 | + | 0.986505i | ||||
\(170\) | 1.38219 | − | 0.0302186i | 0.106009 | − | 0.00231766i | ||||
\(171\) | −3.46041 | + | 0.927215i | −0.264625 | + | 0.0709059i | ||||
\(172\) | −3.36512 | + | 0.901681i | −0.256588 | + | 0.0687526i | ||||
\(173\) | −3.41066 | + | 12.7288i | −0.259308 | + | 0.967750i | 0.706335 | + | 0.707877i | \(0.250347\pi\) |
−0.965643 | + | 0.259872i | \(0.916320\pi\) | |||||||
\(174\) | −2.39305 | + | 2.39305i | −0.181416 | + | 0.181416i | ||||
\(175\) | 8.05383 | − | 5.13182i | 0.608812 | − | 0.387929i | ||||
\(176\) | −2.09985 | − | 0.562653i | −0.158282 | − | 0.0424115i | ||||
\(177\) | −14.4969 | −1.08965 | ||||||||
\(178\) | 0.804636 | + | 0.215602i | 0.0603100 | + | 0.0161600i | ||||
\(179\) | −8.17918 | + | 14.1668i | −0.611341 | + | 1.05887i | 0.379674 | + | 0.925120i | \(0.376036\pi\) |
−0.991015 | + | 0.133753i | \(0.957297\pi\) | |||||||
\(180\) | 2.14671 | − | 0.625808i | 0.160006 | − | 0.0466450i | ||||
\(181\) | − | 10.7578i | − | 0.799622i | −0.916598 | − | 0.399811i | \(-0.869076\pi\) | ||
0.916598 | − | 0.399811i | \(-0.130924\pi\) | |||||||
\(182\) | −5.25303 | + | 4.45304i | −0.389380 | + | 0.330081i | ||||
\(183\) | −4.04105 | + | 4.04105i | −0.298723 | + | 0.298723i | ||||
\(184\) | −0.175094 | − | 0.653459i | −0.0129081 | − | 0.0481737i | ||||
\(185\) | 1.78711 | + | 6.13031i | 0.131391 | + | 0.450710i | ||||
\(186\) | 0.847320 | − | 0.489200i | 0.0621285 | − | 0.0358699i | ||||
\(187\) | − | 1.34410i | − | 0.0982903i | ||||||
\(188\) | −5.42532 | − | 9.39693i | −0.395682 | − | 0.685342i | ||||
\(189\) | −0.494337 | + | 1.84489i | −0.0359577 | + | 0.134196i | ||||
\(190\) | −8.00877 | + | 0.175094i | −0.581017 | + | 0.0127026i | ||||
\(191\) | −12.2705 | − | 21.2531i | −0.887859 | − | 1.53782i | −0.842401 | − | 0.538851i | \(-0.818859\pi\) |
−0.0454580 | − | 0.998966i | \(-0.514475\pi\) | |||||||
\(192\) | 0.258819 | + | 0.965926i | 0.0186787 | + | 0.0697097i | ||||
\(193\) | −16.3849 | − | 9.45984i | −1.17941 | − | 0.680934i | −0.223534 | − | 0.974696i | \(-0.571759\pi\) |
−0.955879 | + | 0.293762i | \(0.905093\pi\) | |||||||
\(194\) | 18.3259 | 1.31572 | ||||||||
\(195\) | 1.61296 | + | 7.89926i | 0.115507 | + | 0.565678i | ||||
\(196\) | 3.35201 | 0.239429 | ||||||||
\(197\) | 18.6844 | + | 10.7874i | 1.33121 | + | 0.768573i | 0.985485 | − | 0.169763i | \(-0.0543003\pi\) |
0.345723 | + | 0.938337i | \(0.387634\pi\) | |||||||
\(198\) | −0.562653 | − | 2.09985i | −0.0399860 | − | 0.149230i | ||||
\(199\) | −11.5656 | − | 20.0322i | −0.819863 | − | 1.42004i | −0.905783 | − | 0.423742i | \(-0.860716\pi\) |
0.0859199 | − | 0.996302i | \(-0.472617\pi\) | |||||||
\(200\) | 4.99522 | − | 0.218523i | 0.353216 | − | 0.0154519i | ||||
\(201\) | 1.51568 | − | 5.65658i | 0.106907 | − | 0.398984i | ||||
\(202\) | 8.45864 | + | 14.6508i | 0.595148 | + | 1.03083i | ||||
\(203\) | − | 6.46387i | − | 0.453675i | ||||||
\(204\) | −0.535449 | + | 0.309141i | −0.0374889 | + | 0.0216442i | ||||
\(205\) | −8.72240 | + | 15.9004i | −0.609199 | + | 1.11053i | ||||
\(206\) | −1.31801 | − | 4.91887i | −0.0918300 | − | 0.342714i | ||||
\(207\) | 0.478365 | − | 0.478365i | 0.0332487 | − | 0.0332487i | ||||
\(208\) | −3.54758 | + | 0.643951i | −0.245980 | + | 0.0446500i | ||||
\(209\) | 7.78805i | 0.538711i | ||||||||
\(210\) | −2.05406 | + | 3.74443i | −0.141744 | + | 0.258390i | ||||
\(211\) | −12.8509 | + | 22.2584i | −0.884692 | + | 1.53233i | −0.0386248 | + | 0.999254i | \(0.512298\pi\) |
−0.846067 | + | 0.533077i | \(0.821036\pi\) | |||||||
\(212\) | −2.11119 | − | 0.565691i | −0.144997 | − | 0.0388518i | ||||
\(213\) | 6.87946 | 0.471373 | ||||||||
\(214\) | −9.21566 | − | 2.46933i | −0.629969 | − | 0.168800i | ||||
\(215\) | −4.04157 | − | 6.65966i | −0.275633 | − | 0.454185i | ||||
\(216\) | −0.707107 | + | 0.707107i | −0.0481125 | + | 0.0481125i | ||||
\(217\) | −0.483659 | + | 1.80504i | −0.0328329 | + | 0.122534i | ||||
\(218\) | 13.4993 | − | 3.61713i | 0.914290 | − | 0.244983i | ||||
\(219\) | −2.07932 | + | 0.557152i | −0.140507 | + | 0.0376489i | ||||
\(220\) | −0.106250 | − | 4.85988i | −0.00716341 | − | 0.327653i | ||||
\(221\) | −0.952273 | − | 2.01562i | −0.0640568 | − | 0.135585i | ||||
\(222\) | −2.01927 | − | 2.01927i | −0.135524 | − | 0.135524i | ||||
\(223\) | −13.7768 | + | 23.8621i | −0.922563 | + | 1.59793i | −0.127129 | + | 0.991886i | \(0.540576\pi\) |
−0.795434 | + | 0.606040i | \(0.792757\pi\) | |||||||
\(224\) | −1.65408 | − | 0.954985i | −0.110518 | − | 0.0638076i | ||||
\(225\) | 2.68686 | + | 4.21673i | 0.179124 | + | 0.281115i | ||||
\(226\) | −9.52913 | − | 9.52913i | −0.633869 | − | 0.633869i | ||||
\(227\) | 5.92789 | − | 3.42247i | 0.393448 | − | 0.227157i | −0.290205 | − | 0.956964i | \(-0.593724\pi\) |
0.683653 | + | 0.729807i | \(0.260390\pi\) | |||||||
\(228\) | 3.10252 | − | 1.79124i | 0.205470 | − | 0.118628i | ||||
\(229\) | 13.6008 | + | 13.6008i | 0.898766 | + | 0.898766i | 0.995327 | − | 0.0965608i | \(-0.0307842\pi\) |
−0.0965608 | + | 0.995327i | \(0.530784\pi\) | |||||||
\(230\) | 1.29321 | − | 0.784816i | 0.0852719 | − | 0.0517492i | ||||
\(231\) | 3.59585 | + | 2.07606i | 0.236590 | + | 0.136595i | ||||
\(232\) | 1.69214 | − | 2.93087i | 0.111094 | − | 0.192421i | ||||
\(233\) | −6.74979 | − | 6.74979i | −0.442194 | − | 0.442194i | 0.450555 | − | 0.892749i | \(-0.351226\pi\) |
−0.892749 | + | 0.450555i | \(0.851226\pi\) | |||||||
\(234\) | −2.33147 | − | 2.75032i | −0.152413 | − | 0.179794i | ||||
\(235\) | 16.7773 | − | 17.5273i | 1.09443 | − | 1.14335i | ||||
\(236\) | 14.0029 | − | 3.75207i | 0.911512 | − | 0.244239i | ||||
\(237\) | −4.93992 | + | 1.32365i | −0.320882 | + | 0.0859802i | ||||
\(238\) | 0.305640 | − | 1.14066i | 0.0198117 | − | 0.0739383i | ||||
\(239\) | 3.90302 | − | 3.90302i | 0.252465 | − | 0.252465i | −0.569515 | − | 0.821981i | \(-0.692869\pi\) |
0.821981 | + | 0.569515i | \(0.192869\pi\) | |||||||
\(240\) | −1.91159 | + | 1.16009i | −0.123393 | + | 0.0748837i | ||||
\(241\) | −10.7613 | − | 2.88348i | −0.693196 | − | 0.185741i | −0.105015 | − | 0.994471i | \(-0.533489\pi\) |
−0.588181 | + | 0.808729i | \(0.700156\pi\) | |||||||
\(242\) | 6.27406 | 0.403312 | ||||||||
\(243\) | −0.965926 | − | 0.258819i | −0.0619642 | − | 0.0166032i | ||||
\(244\) | 2.85745 | − | 4.94925i | 0.182930 | − | 0.316843i | ||||
\(245\) | 2.09772 | + | 7.19580i | 0.134018 | + | 0.459723i | ||||
\(246\) | − | 8.11054i | − | 0.517109i | ||||||
\(247\) | 5.51771 | + | 11.6790i | 0.351083 | + | 0.743118i | ||||
\(248\) | −0.691834 | + | 0.691834i | −0.0439315 | + | 0.0439315i | ||||
\(249\) | 0.994541 | + | 3.71168i | 0.0630265 | + | 0.235218i | ||||
\(250\) | 3.59516 | + | 10.5865i | 0.227378 | + | 0.669552i | ||||
\(251\) | 11.9048 | − | 6.87325i | 0.751426 | − | 0.433836i | −0.0747830 | − | 0.997200i | \(-0.523826\pi\) |
0.826209 | + | 0.563364i | \(0.190493\pi\) | |||||||
\(252\) | − | 1.90997i | − | 0.120317i | ||||||
\(253\) | −0.735341 | − | 1.27365i | −0.0462305 | − | 0.0800736i | ||||
\(254\) | −3.55123 | + | 13.2534i | −0.222824 | + | 0.831591i | ||||
\(255\) | −0.998725 | − | 0.955990i | −0.0625426 | − | 0.0598664i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 0.0339269 | + | 0.126617i | 0.00211630 | + | 0.00789815i | 0.966976 | − | 0.254868i | \(-0.0820320\pi\) |
−0.964860 | + | 0.262766i | \(0.915365\pi\) | |||||||
\(258\) | 3.01708 | + | 1.74191i | 0.187835 | + | 0.108447i | ||||
\(259\) | 5.45426 | 0.338911 | ||||||||
\(260\) | −3.60248 | − | 7.21264i | −0.223416 | − | 0.447309i | ||||
\(261\) | 3.38428 | 0.209482 | ||||||||
\(262\) | 14.4086 | + | 8.31884i | 0.890169 | + | 0.513939i | ||||
\(263\) | 4.36534 | + | 16.2917i | 0.269178 | + | 1.00459i | 0.959643 | + | 0.281221i | \(0.0907395\pi\) |
−0.690465 | + | 0.723366i | \(0.742594\pi\) | |||||||
\(264\) | 1.08696 | + | 1.88267i | 0.0668979 | + | 0.115871i | ||||
\(265\) | −0.106824 | − | 4.88612i | −0.00656216 | − | 0.300152i | ||||
\(266\) | −1.77095 | + | 6.60929i | −0.108584 | + | 0.405242i | ||||
\(267\) | −0.416510 | − | 0.721417i | −0.0254900 | − | 0.0441500i | ||||
\(268\) | 5.85612i | 0.357719i | ||||||||
\(269\) | −4.74801 | + | 2.74127i | −0.289491 | + | 0.167138i | −0.637712 | − | 0.770275i | \(-0.720119\pi\) |
0.348221 | + | 0.937412i | \(0.386786\pi\) | |||||||
\(270\) | −1.96047 | − | 1.07544i | −0.119310 | − | 0.0654492i | ||||
\(271\) | 1.56093 | + | 5.82549i | 0.0948200 | + | 0.353873i | 0.996992 | − | 0.0775032i | \(-0.0246948\pi\) |
−0.902172 | + | 0.431376i | \(0.858028\pi\) | |||||||
\(272\) | 0.437192 | − | 0.437192i | 0.0265087 | − | 0.0265087i | ||||
\(273\) | 6.86322 | + | 0.565680i | 0.415381 | + | 0.0342365i | ||||
\(274\) | − | 8.24704i | − | 0.498222i | ||||||
\(275\) | 10.3663 | − | 3.26944i | 0.625109 | − | 0.197155i | ||||
\(276\) | −0.338255 | + | 0.585876i | −0.0203606 | + | 0.0352656i | ||||
\(277\) | −11.3119 | − | 3.03101i | −0.679666 | − | 0.182116i | −0.0975609 | − | 0.995230i | \(-0.531104\pi\) |
−0.582105 | + | 0.813114i | \(0.697771\pi\) | |||||||
\(278\) | 14.6697 | 0.879830 | ||||||||
\(279\) | −0.945063 | − | 0.253229i | −0.0565794 | − | 0.0151604i | ||||
\(280\) | 1.01494 | − | 4.14847i | 0.0606541 | − | 0.247919i | ||||
\(281\) | 15.6369 | − | 15.6369i | 0.932818 | − | 0.932818i | −0.0650632 | − | 0.997881i | \(-0.520725\pi\) |
0.997881 | + | 0.0650632i | \(0.0207249\pi\) | |||||||
\(282\) | −2.80835 | + | 10.4809i | −0.167235 | + | 0.624130i | ||||
\(283\) | 9.26157 | − | 2.48163i | 0.550543 | − | 0.147518i | 0.0271852 | − | 0.999630i | \(-0.491346\pi\) |
0.523358 | + | 0.852113i | \(0.324679\pi\) | |||||||
\(284\) | −6.64505 | + | 1.78054i | −0.394311 | + | 0.105655i | ||||
\(285\) | 5.78686 | + | 5.53924i | 0.342784 | + | 0.328116i | ||||
\(286\) | −7.08706 | + | 3.34826i | −0.419067 | + | 0.197987i | ||||
\(287\) | 10.9537 | + | 10.9537i | 0.646577 | + | 0.646577i | ||||
\(288\) | 0.500000 | − | 0.866025i | 0.0294628 | − | 0.0510310i | ||||
\(289\) | −14.3914 | − | 8.30886i | −0.846551 | − | 0.488757i | ||||
\(290\) | 7.35069 | + | 1.79837i | 0.431647 | + | 0.105604i | ||||
\(291\) | −12.9583 | − | 12.9583i | −0.759631 | − | 0.759631i | ||||
\(292\) | 1.86427 | − | 1.07634i | 0.109098 | − | 0.0629878i | ||||
\(293\) | 9.84550 | − | 5.68430i | 0.575180 | − | 0.332080i | −0.184035 | − | 0.982920i | \(-0.558916\pi\) |
0.759216 | + | 0.650839i | \(0.225583\pi\) | |||||||
\(294\) | −2.37023 | − | 2.37023i | −0.138235 | − | 0.138235i | ||||
\(295\) | 16.8177 | + | 27.7121i | 0.979167 | + | 1.61346i | ||||
\(296\) | 2.47309 | + | 1.42784i | 0.143745 | + | 0.0829915i | ||||
\(297\) | −1.08696 | + | 1.88267i | −0.0630719 | + | 0.109244i | ||||
\(298\) | 9.04604 | + | 9.04604i | 0.524023 | + | 0.524023i | ||||
\(299\) | −2.00508 | − | 1.38900i | −0.115957 | − | 0.0803277i | ||||
\(300\) | −3.68668 | − | 3.37764i | −0.212850 | − | 0.195008i | ||||
\(301\) | −6.42728 | + | 1.72218i | −0.370462 | + | 0.0992651i | ||||
\(302\) | −19.8110 | + | 5.30834i | −1.14000 | + | 0.305461i | ||||
\(303\) | 4.37852 | − | 16.3408i | 0.251539 | − | 0.938757i | ||||
\(304\) | −2.53320 | + | 2.53320i | −0.145289 | + | 0.145289i | ||||
\(305\) | 12.4128 | + | 3.03684i | 0.710756 | + | 0.173889i | ||||
\(306\) | 0.597215 | + | 0.160023i | 0.0341405 | + | 0.00914793i | ||||
\(307\) | −17.1833 | −0.980702 | −0.490351 | − | 0.871525i | \(-0.663131\pi\) | ||||
−0.490351 | + | 0.871525i | \(0.663131\pi\) | |||||||
\(308\) | −4.01065 | − | 1.07465i | −0.228528 | − | 0.0612339i | ||||
\(309\) | −2.54620 | + | 4.41014i | −0.144848 | + | 0.250884i | ||||
\(310\) | −1.91812 | − | 1.05221i | −0.108942 | − | 0.0597616i | ||||
\(311\) | − | 16.2305i | − | 0.920347i | −0.887829 | − | 0.460174i | \(-0.847787\pi\) | ||
0.887829 | − | 0.460174i | \(-0.152213\pi\) | |||||||
\(312\) | 2.96386 | + | 2.05318i | 0.167796 | + | 0.116238i | ||||
\(313\) | −14.8660 | + | 14.8660i | −0.840275 | + | 0.840275i | −0.988894 | − | 0.148620i | \(-0.952517\pi\) |
0.148620 | + | 0.988894i | \(0.452517\pi\) | |||||||
\(314\) | 2.23565 | + | 8.34356i | 0.126165 | + | 0.470854i | ||||
\(315\) | 4.10015 | − | 1.19528i | 0.231017 | − | 0.0673461i | ||||
\(316\) | 4.42901 | − | 2.55709i | 0.249151 | − | 0.143848i | ||||
\(317\) | − | 32.9862i | − | 1.85269i | −0.376676 | − | 0.926345i | \(-0.622933\pi\) | ||
0.376676 | − | 0.926345i | \(-0.377067\pi\) | |||||||
\(318\) | 1.09283 | + | 1.89284i | 0.0612830 | + | 0.106145i | ||||
\(319\) | 1.90417 | − | 7.10647i | 0.106613 | − | 0.397886i | ||||
\(320\) | 1.54620 | − | 1.61532i | 0.0864353 | − | 0.0902992i | ||||
\(321\) | 4.77038 | + | 8.26253i | 0.266256 | + | 0.461170i | ||||
\(322\) | −0.334424 | − | 1.24809i | −0.0186367 | − | 0.0695532i | ||||
\(323\) | −1.91824 | − | 1.10749i | −0.106734 | − | 0.0616226i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | 13.2290 | − | 12.2472i | 0.733812 | − | 0.679353i | ||||
\(326\) | −10.5027 | −0.581689 | ||||||||
\(327\) | −12.1032 | − | 6.98776i | −0.669306 | − | 0.386424i | ||||
\(328\) | 2.09916 | + | 7.83418i | 0.115907 | + | 0.432570i | ||||
\(329\) | −10.3622 | − | 17.9479i | −0.571287 | − | 0.989498i | ||||
\(330\) | −3.36132 | + | 3.51158i | −0.185035 | + | 0.193306i | ||||
\(331\) | −0.460244 | + | 1.71765i | −0.0252973 | + | 0.0944107i | −0.977420 | − | 0.211304i | \(-0.932229\pi\) |
0.952123 | + | 0.305715i | \(0.0988955\pi\) | |||||||
\(332\) | −1.92131 | − | 3.32780i | −0.105445 | − | 0.182637i | ||||
\(333\) | 2.85568i | 0.156490i | ||||||||
\(334\) | 6.02056 | − | 3.47597i | 0.329431 | − | 0.190197i | ||||
\(335\) | −12.5714 | + | 3.66481i | −0.686848 | + | 0.200230i | ||||
\(336\) | 0.494337 | + | 1.84489i | 0.0269683 | + | 0.100647i | ||||
\(337\) | −8.61910 | + | 8.61910i | −0.469512 | + | 0.469512i | −0.901757 | − | 0.432244i | \(-0.857722\pi\) |
0.432244 | + | 0.901757i | \(0.357722\pi\) | |||||||
\(338\) | −8.25563 | + | 10.0421i | −0.449047 | + | 0.546221i | ||||
\(339\) | 13.4762i | 0.731928i | ||||||||
\(340\) | 1.21212 | + | 0.664926i | 0.0657366 | + | 0.0360607i | ||||
\(341\) | −1.06348 | + | 1.84201i | −0.0575909 | + | 0.0997504i | ||||
\(342\) | −3.46041 | − | 0.927215i | −0.187118 | − | 0.0501381i | ||||
\(343\) | 19.7720 | 1.06759 | ||||||||
\(344\) | −3.36512 | − | 0.901681i | −0.181435 | − | 0.0486154i | ||||
\(345\) | −1.46939 | − | 0.359491i | −0.0791092 | − | 0.0193543i | ||||
\(346\) | −9.31810 | + | 9.31810i | −0.500944 | + | 0.500944i | ||||
\(347\) | 4.58480 | − | 17.1107i | 0.246125 | − | 0.918550i | −0.726690 | − | 0.686966i | \(-0.758942\pi\) |
0.972815 | − | 0.231585i | \(-0.0743910\pi\) | |||||||
\(348\) | −3.26896 | + | 0.875916i | −0.175235 | + | 0.0469540i | ||||
\(349\) | −16.2696 | + | 4.35943i | −0.870892 | + | 0.233355i | −0.666473 | − | 0.745529i | \(-0.732197\pi\) |
−0.204419 | + | 0.978884i | \(0.565530\pi\) | |||||||
\(350\) | 9.54073 | − | 0.417373i | 0.509973 | − | 0.0223095i | ||||
\(351\) | −0.296172 | + | 3.59337i | −0.0158085 | + | 0.191800i | ||||
\(352\) | −1.53720 | − | 1.53720i | −0.0819328 | − | 0.0819328i | ||||
\(353\) | 17.3991 | − | 30.1361i | 0.926061 | − | 1.60398i | 0.136215 | − | 0.990679i | \(-0.456506\pi\) |
0.789846 | − | 0.613305i | \(-0.210160\pi\) | |||||||
\(354\) | −12.5547 | − | 7.24844i | −0.667273 | − | 0.385250i | ||||
\(355\) | −7.98082 | − | 13.1507i | −0.423578 | − | 0.697968i | ||||
\(356\) | 0.589034 | + | 0.589034i | 0.0312188 | + | 0.0312188i | ||||
\(357\) | −1.02269 | + | 0.590451i | −0.0541266 | + | 0.0312500i | ||||
\(358\) | −14.1668 | + | 8.17918i | −0.748736 | + | 0.432283i | ||||
\(359\) | −11.3845 | − | 11.3845i | −0.600849 | − | 0.600849i | 0.339689 | − | 0.940538i | \(-0.389678\pi\) |
−0.940538 | + | 0.339689i | \(0.889678\pi\) | |||||||
\(360\) | 2.17201 | + | 0.531389i | 0.114475 | + | 0.0280067i | ||||
\(361\) | −5.33974 | − | 3.08290i | −0.281039 | − | 0.162258i | ||||
\(362\) | 5.37891 | − | 9.31654i | 0.282709 | − | 0.489666i | ||||
\(363\) | −4.43643 | − | 4.43643i | −0.232852 | − | 0.232852i | ||||
\(364\) | −6.77577 | + | 1.22993i | −0.355147 | + | 0.0644657i | ||||
\(365\) | 3.47725 | + | 3.32846i | 0.182008 | + | 0.174220i | ||||
\(366\) | −5.52017 | + | 1.47913i | −0.288544 | + | 0.0773151i | ||||
\(367\) | 12.8267 | − | 3.43690i | 0.669547 | − | 0.179405i | 0.0919962 | − | 0.995759i | \(-0.470675\pi\) |
0.577551 | + | 0.816355i | \(0.304009\pi\) | |||||||
\(368\) | 0.175094 | − | 0.653459i | 0.00912740 | − | 0.0340639i | ||||
\(369\) | −5.73502 | + | 5.73502i | −0.298553 | + | 0.298553i | ||||
\(370\) | −1.51748 | + | 6.20256i | −0.0788898 | + | 0.322456i | ||||
\(371\) | −4.03231 | − | 1.08045i | −0.209347 | − | 0.0560944i | ||||
\(372\) | 0.978401 | 0.0507277 | ||||||||
\(373\) | 5.76165 | + | 1.54383i | 0.298327 | + | 0.0799364i | 0.404878 | − | 0.914371i | \(-0.367314\pi\) |
−0.106551 | + | 0.994307i | \(0.533981\pi\) | |||||||
\(374\) | 0.672050 | − | 1.16402i | 0.0347509 | − | 0.0601903i | ||||
\(375\) | 4.94365 | − | 10.0280i | 0.255289 | − | 0.517842i | ||||
\(376\) | − | 10.8506i | − | 0.559579i | ||||||
\(377\) | −2.17931 | − | 12.0060i | −0.112240 | − | 0.618341i | ||||
\(378\) | −1.35055 | + | 1.35055i | −0.0694650 | + | 0.0694650i | ||||
\(379\) | −2.67271 | − | 9.97467i | −0.137288 | − | 0.512365i | −0.999978 | − | 0.00663207i | \(-0.997889\pi\) |
0.862690 | − | 0.505733i | \(-0.168778\pi\) | |||||||
\(380\) | −7.02334 | − | 3.85275i | −0.360290 | − | 0.197642i | ||||
\(381\) | 11.8827 | − | 6.86045i | 0.608767 | − | 0.351472i | ||||
\(382\) | − | 24.5409i | − | 1.25562i | ||||||
\(383\) | 2.21446 | + | 3.83556i | 0.113154 | + | 0.195988i | 0.917040 | − | 0.398795i | \(-0.130571\pi\) |
−0.803886 | + | 0.594783i | \(0.797238\pi\) | |||||||
\(384\) | −0.258819 | + | 0.965926i | −0.0132078 | + | 0.0492922i | ||||
\(385\) | −0.202935 | − | 9.28223i | −0.0103425 | − | 0.473066i | ||||
\(386\) | −9.45984 | − | 16.3849i | −0.481493 | − | 0.833971i | ||||
\(387\) | −0.901681 | − | 3.36512i | −0.0458350 | − | 0.171059i | ||||
\(388\) | 15.8707 | + | 9.16293i | 0.805711 | + | 0.465177i | ||||
\(389\) | 1.11411 | 0.0564874 | 0.0282437 | − | 0.999601i | \(-0.491009\pi\) | ||||
0.0282437 | + | 0.999601i | \(0.491009\pi\) | |||||||
\(390\) | −2.55276 | + | 7.64744i | −0.129264 | + | 0.387243i | ||||
\(391\) | 0.418275 | 0.0211531 | ||||||||
\(392\) | 2.90293 | + | 1.67601i | 0.146620 | + | 0.0846511i | ||||
\(393\) | −4.30615 | − | 16.0708i | −0.217216 | − | 0.810663i | ||||
\(394\) | 10.7874 | + | 18.6844i | 0.543463 | + | 0.941306i | ||||
\(395\) | 8.26105 | + | 7.90755i | 0.415658 | + | 0.397872i | ||||
\(396\) | 0.562653 | − | 2.09985i | 0.0282744 | − | 0.105521i | ||||
\(397\) | −19.2474 | − | 33.3374i | −0.965998 | − | 1.67316i | −0.706910 | − | 0.707304i | \(-0.749911\pi\) |
−0.259088 | − | 0.965854i | \(-0.583422\pi\) | |||||||
\(398\) | − | 23.1312i | − | 1.15946i | ||||||
\(399\) | 5.92573 | − | 3.42122i | 0.296657 | − | 0.171275i | ||||
\(400\) | 4.43525 | + | 2.30836i | 0.221763 | + | 0.115418i | ||||
\(401\) | 2.65088 | + | 9.89323i | 0.132379 | + | 0.494044i | 0.999995 | − | 0.00319033i | \(-0.00101551\pi\) |
−0.867616 | + | 0.497235i | \(0.834349\pi\) | |||||||
\(402\) | 4.14090 | − | 4.14090i | 0.206529 | − | 0.206529i | ||||
\(403\) | −0.289775 | + | 3.51575i | −0.0144347 | + | 0.175132i | ||||
\(404\) | 16.9173i | 0.841666i | ||||||||
\(405\) | 0.625808 | + | 2.14671i | 0.0310967 | + | 0.106671i | ||||
\(406\) | 3.23194 | − | 5.59788i | 0.160398 | − | 0.277818i | ||||
\(407\) | 5.99649 | + | 1.60676i | 0.297235 | + | 0.0796439i | ||||
\(408\) | −0.618283 | −0.0306096 | ||||||||
\(409\) | −17.0104 | − | 4.55794i | −0.841113 | − | 0.225375i | −0.187557 | − | 0.982254i | \(-0.560057\pi\) |
−0.653556 | + | 0.756878i | \(0.726724\pi\) | |||||||
\(410\) | −15.5040 | + | 9.40899i | −0.765690 | + | 0.464677i | ||||
\(411\) | −5.83154 | + | 5.83154i | −0.287649 | + | 0.287649i | ||||
\(412\) | 1.31801 | − | 4.91887i | 0.0649336 | − | 0.242336i | ||||
\(413\) | 26.7452 | − | 7.16634i | 1.31604 | − | 0.352633i | ||||
\(414\) | 0.653459 | − | 0.175094i | 0.0321158 | − | 0.00860540i | ||||
\(415\) | 5.94145 | − | 6.20705i | 0.291654 | − | 0.304692i | ||||
\(416\) | −3.39427 | − | 1.21611i | −0.166418 | − | 0.0596248i | ||||
\(417\) | −10.3730 | − | 10.3730i | −0.507970 | − | 0.507970i | ||||
\(418\) | −3.89402 | + | 6.74465i | −0.190463 | + | 0.329891i | ||||
\(419\) | −5.44338 | − | 3.14274i | −0.265926 | − | 0.153533i | 0.361109 | − | 0.932524i | \(-0.382398\pi\) |
−0.627035 | + | 0.778991i | \(0.715732\pi\) | |||||||
\(420\) | −3.65108 | + | 2.21575i | −0.178155 | + | 0.108117i | ||||
\(421\) | −18.1111 | − | 18.1111i | −0.882681 | − | 0.882681i | 0.111125 | − | 0.993806i | \(-0.464554\pi\) |
−0.993806 | + | 0.111125i | \(0.964554\pi\) | |||||||
\(422\) | −22.2584 | + | 12.8509i | −1.08352 | + | 0.625571i | ||||
\(423\) | 9.39693 | − | 5.42532i | 0.456895 | − | 0.263788i | ||||
\(424\) | −1.54550 | − | 1.54550i | −0.0750560 | − | 0.0750560i | ||||
\(425\) | −0.668847 | + | 3.01819i | −0.0324438 | + | 0.146404i | ||||
\(426\) | 5.95779 | + | 3.43973i | 0.288656 | + | 0.166655i | ||||
\(427\) | 5.45765 | − | 9.45292i | 0.264114 | − | 0.457459i | ||||
\(428\) | −6.74633 | − | 6.74633i | −0.326096 | − | 0.326096i | ||||
\(429\) | 7.37888 | + | 2.64373i | 0.356256 | + | 0.127641i | ||||
\(430\) | −0.170272 | − | 7.78822i | −0.00821125 | − | 0.375581i | ||||
\(431\) | −11.5686 | + | 3.09979i | −0.557239 | + | 0.149312i | −0.526437 | − | 0.850214i | \(-0.676473\pi\) |
−0.0308013 | + | 0.999526i | \(0.509806\pi\) | |||||||
\(432\) | −0.965926 | + | 0.258819i | −0.0464731 | + | 0.0124524i | ||||
\(433\) | 9.17258 | − | 34.2325i | 0.440806 | − | 1.64511i | −0.285972 | − | 0.958238i | \(-0.592316\pi\) |
0.726778 | − | 0.686873i | \(-0.241017\pi\) | |||||||
\(434\) | −1.32138 | + | 1.32138i | −0.0634284 | + | 0.0634284i | ||||
\(435\) | −3.92608 | − | 6.46936i | −0.188241 | − | 0.310182i | ||||
\(436\) | 13.4993 | + | 3.61713i | 0.646500 | + | 0.173229i | ||||
\(437\) | −2.42359 | −0.115936 | ||||||||
\(438\) | −2.07932 | − | 0.557152i | −0.0993538 | − | 0.0266218i | ||||
\(439\) | −15.1777 | + | 26.2886i | −0.724394 | + | 1.25469i | 0.234829 | + | 0.972037i | \(0.424547\pi\) |
−0.959223 | + | 0.282650i | \(0.908786\pi\) | |||||||
\(440\) | 2.33792 | − | 4.26190i | 0.111456 | − | 0.203178i | ||||
\(441\) | 3.35201i | 0.159620i | ||||||||
\(442\) | 0.183118 | − | 2.22172i | 0.00871005 | − | 0.105676i | ||||
\(443\) | −19.2254 | + | 19.2254i | −0.913426 | + | 0.913426i | −0.996540 | − | 0.0831145i | \(-0.973513\pi\) |
0.0831145 | + | 0.996540i | \(0.473513\pi\) | |||||||
\(444\) | −0.739104 | − | 2.75837i | −0.0350763 | − | 0.130907i | ||||
\(445\) | −0.895863 | + | 1.63311i | −0.0424680 | + | 0.0774168i | ||||
\(446\) | −23.8621 | + | 13.7768i | −1.12990 | + | 0.652351i | ||||
\(447\) | − | 12.7930i | − | 0.605090i | ||||||
\(448\) | −0.954985 | − | 1.65408i | −0.0451188 | − | 0.0781481i | ||||
\(449\) | −3.49720 | + | 13.0517i | −0.165043 | + | 0.615948i | 0.832992 | + | 0.553285i | \(0.186626\pi\) |
−0.998035 | + | 0.0626632i | \(0.980041\pi\) | |||||||
\(450\) | 0.218523 | + | 4.99522i | 0.0103013 | + | 0.235477i | ||||
\(451\) | 8.81584 | + | 15.2695i | 0.415122 | + | 0.719012i | ||||
\(452\) | −3.48791 | − | 13.0170i | −0.164057 | − | 0.612270i | ||||
\(453\) | 17.7621 | + | 10.2549i | 0.834535 | + | 0.481819i | ||||
\(454\) | 6.84494 | 0.321249 | ||||||||
\(455\) | −6.88063 | − | 13.7759i | −0.322569 | − | 0.645825i | ||||
\(456\) | 3.58249 | 0.167765 | ||||||||
\(457\) | −0.198413 | − | 0.114554i | −0.00928136 | − | 0.00535859i | 0.495352 | − | 0.868692i | \(-0.335039\pi\) |
−0.504633 | + | 0.863334i | \(0.668372\pi\) | |||||||
\(458\) | 4.97824 | + | 18.5790i | 0.232618 | + | 0.868142i | ||||
\(459\) | −0.309141 | − | 0.535449i | −0.0144295 | − | 0.0249926i | ||||
\(460\) | 1.51236 | − | 0.0330645i | 0.0705143 | − | 0.00154164i | ||||
\(461\) | −9.53478 | + | 35.5843i | −0.444079 | + | 1.65733i | 0.274278 | + | 0.961651i | \(0.411561\pi\) |
−0.718357 | + | 0.695675i | \(0.755105\pi\) | |||||||
\(462\) | 2.07606 | + | 3.59585i | 0.0965873 | + | 0.167294i | ||||
\(463\) | − | 0.0626597i | − | 0.00291205i | −0.999999 | − | 0.00145602i | \(-0.999537\pi\) | ||
0.999999 | − | 0.00145602i | \(-0.000463467\pi\) | |||||||
\(464\) | 2.93087 | − | 1.69214i | 0.136062 | − | 0.0785556i | ||||
\(465\) | 0.612291 | + | 2.10034i | 0.0283943 | + | 0.0974011i | ||||
\(466\) | −2.47060 | − | 9.22039i | −0.114448 | − | 0.427126i | ||||
\(467\) | −12.4618 | + | 12.4618i | −0.576663 | + | 0.576663i | −0.933982 | − | 0.357319i | \(-0.883691\pi\) |
0.357319 | + | 0.933982i | \(0.383691\pi\) | |||||||
\(468\) | −0.643951 | − | 3.54758i | −0.0297667 | − | 0.163987i | ||||
\(469\) | 11.1850i | 0.516476i | ||||||||
\(470\) | 23.2932 | − | 6.79042i | 1.07443 | − | 0.313219i | ||||
\(471\) | 4.31894 | − | 7.48063i | 0.199006 | − | 0.344689i | ||||
\(472\) | 14.0029 | + | 3.75207i | 0.644536 | + | 0.172703i | ||||
\(473\) | −7.57358 | −0.348233 | ||||||||
\(474\) | −4.93992 | − | 1.32365i | −0.226898 | − | 0.0607972i | ||||
\(475\) | 3.87547 | − | 17.4882i | 0.177819 | − | 0.802412i | ||||
\(476\) | 0.835024 | − | 0.835024i | 0.0382733 | − | 0.0382733i | ||||
\(477\) | 0.565691 | − | 2.11119i | 0.0259012 | − | 0.0966647i | ||||
\(478\) | 5.33162 | − | 1.42860i | 0.243863 | − | 0.0653428i | ||||
\(479\) | 4.71886 | − | 1.26441i | 0.215610 | − | 0.0577726i | −0.149397 | − | 0.988777i | \(-0.547733\pi\) |
0.365007 | + | 0.931005i | \(0.381067\pi\) | |||||||
\(480\) | −2.23553 | + | 0.0488750i | −0.102038 | + | 0.00223083i | ||||
\(481\) | 10.1307 | − | 1.83892i | 0.461922 | − | 0.0838474i | ||||
\(482\) | −7.87782 | − | 7.87782i | −0.358825 | − | 0.358825i | ||||
\(483\) | −0.646058 | + | 1.11901i | −0.0293967 | + | 0.0509165i | ||||
\(484\) | 5.43349 | + | 3.13703i | 0.246977 | + | 0.142592i | ||||
\(485\) | −9.73816 | + | 39.8039i | −0.442187 | + | 1.80740i | ||||
\(486\) | −0.707107 | − | 0.707107i | −0.0320750 | − | 0.0320750i | ||||
\(487\) | 16.8761 | − | 9.74340i | 0.764728 | − | 0.441516i | −0.0662630 | − | 0.997802i | \(-0.521108\pi\) |
0.830991 | + | 0.556287i | \(0.187774\pi\) | |||||||
\(488\) | 4.94925 | − | 2.85745i | 0.224042 | − | 0.129351i | ||||
\(489\) | 7.42651 | + | 7.42651i | 0.335838 | + | 0.335838i | ||||
\(490\) | −1.78122 | + | 7.28060i | −0.0804674 | + | 0.328904i | ||||
\(491\) | 23.5658 | + | 13.6057i | 1.06351 | + | 0.614017i | 0.926401 | − | 0.376540i | \(-0.122886\pi\) |
0.137107 | + | 0.990556i | \(0.456219\pi\) | |||||||
\(492\) | 4.05527 | − | 7.02393i | 0.182826 | − | 0.316663i | ||||
\(493\) | 1.47958 | + | 1.47958i | 0.0666369 | + | 0.0666369i | ||||
\(494\) | −1.06103 | + | 12.8732i | −0.0477381 | + | 0.579192i | ||||
\(495\) | 4.85988 | − | 0.106250i | 0.218435 | − | 0.00477560i | ||||
\(496\) | −0.945063 | + | 0.253229i | −0.0424346 | + | 0.0113703i | ||||
\(497\) | −12.6918 | + | 3.40077i | −0.569307 | + | 0.152545i | ||||
\(498\) | −0.994541 | + | 3.71168i | −0.0445664 | + | 0.166324i | ||||
\(499\) | −11.1781 | + | 11.1781i | −0.500399 | + | 0.500399i | −0.911562 | − | 0.411163i | \(-0.865123\pi\) |
0.411163 | + | 0.911562i | \(0.365123\pi\) | |||||||
\(500\) | −2.17977 | + | 10.9658i | −0.0974824 | + | 0.490405i | ||||
\(501\) | −6.71506 | − | 1.79930i | −0.300007 | − | 0.0803866i | ||||
\(502\) | 13.7465 | 0.613537 | ||||||||
\(503\) | 4.06591 | + | 1.08946i | 0.181290 | + | 0.0485764i | 0.348322 | − | 0.937375i | \(-0.386752\pi\) |
−0.167032 | + | 0.985951i | \(0.553418\pi\) | |||||||
\(504\) | 0.954985 | − | 1.65408i | 0.0425384 | − | 0.0736787i | ||||
\(505\) | −36.3165 | + | 10.5870i | −1.61606 | + | 0.471114i | ||||
\(506\) | − | 1.47068i | − | 0.0653798i | ||||||
\(507\) | 12.9385 | − | 1.26326i | 0.574618 | − | 0.0561032i | ||||
\(508\) | −9.70214 | + | 9.70214i | −0.430463 | + | 0.430463i | ||||
\(509\) | −9.73121 | − | 36.3174i | −0.431328 | − | 1.60974i | −0.749703 | − | 0.661774i | \(-0.769804\pi\) |
0.318375 | − | 0.947965i | \(-0.396863\pi\) | |||||||
\(510\) | −0.386927 | − | 1.32727i | −0.0171334 | − | 0.0587727i | ||||
\(511\) | 3.56070 | − | 2.05577i | 0.157516 | − | 0.0909419i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 1.79124 | + | 3.10252i | 0.0790853 | + | 0.136980i | ||||
\(514\) | −0.0339269 | + | 0.126617i | −0.00149645 | + | 0.00558484i | ||||
\(515\) | 11.3842 | − | 0.248891i | 0.501648 | − | 0.0109674i | ||||
\(516\) | 1.74191 | + | 3.01708i | 0.0766835 | + | 0.132820i | ||||
\(517\) | −6.10515 | − | 22.7847i | −0.268504 | − | 1.00207i | ||||
\(518\) | 4.72353 | + | 2.72713i | 0.207540 | + | 0.119823i | ||||
\(519\) | 13.1778 | 0.578440 | ||||||||
\(520\) | 0.486477 | − | 8.04757i | 0.0213334 | − | 0.352909i | ||||
\(521\) | 0.544187 | 0.0238413 | 0.0119206 | − | 0.999929i | \(-0.496205\pi\) | ||||
0.0119206 | + | 0.999929i | \(0.496205\pi\) | |||||||
\(522\) | 2.93087 | + | 1.69214i | 0.128281 | + | 0.0740629i | ||||
\(523\) | −0.351192 | − | 1.31067i | −0.0153565 | − | 0.0573114i | 0.957822 | − | 0.287361i | \(-0.0927779\pi\) |
−0.973179 | + | 0.230049i | \(0.926111\pi\) | |||||||
\(524\) | 8.31884 | + | 14.4086i | 0.363410 | + | 0.629445i | ||||
\(525\) | −7.04144 | − | 6.45119i | −0.307314 | − | 0.281553i | ||||
\(526\) | −4.36534 | + | 16.2917i | −0.190338 | + | 0.710351i | ||||
\(527\) | −0.302464 | − | 0.523883i | −0.0131755 | − | 0.0228207i | ||||
\(528\) | 2.17392i | 0.0946079i | ||||||||
\(529\) | −19.5222 | + | 11.2712i | −0.848793 | + | 0.490051i | ||||
\(530\) | 2.35055 | − | 4.28492i | 0.102101 | − | 0.186125i | ||||
\(531\) | 3.75207 | + | 14.0029i | 0.162826 | + | 0.607675i | ||||
\(532\) | −4.83834 | + | 4.83834i | −0.209768 | + | 0.209768i | ||||
\(533\) | 24.0385 | + | 16.6524i | 1.04122 | + | 0.721294i | ||||
\(534\) | − | 0.833020i | − | 0.0360483i | ||||||
\(535\) | 10.2605 | − | 18.7043i | 0.443600 | − | 0.808659i | ||||
\(536\) | −2.92806 | + | 5.07155i | −0.126473 | + | 0.219058i | ||||
\(537\) | 15.8010 | + | 4.23386i | 0.681862 | + | 0.182704i | ||||
\(538\) | −5.48253 | −0.236369 | ||||||||
\(539\) | 7.03872 | + | 1.88602i | 0.303179 | + | 0.0812366i | ||||
\(540\) | −1.16009 | − | 1.91159i | −0.0499225 | − | 0.0822618i | ||||
\(541\) | 15.2374 | − | 15.2374i | 0.655107 | − | 0.655107i | −0.299111 | − | 0.954218i | \(-0.596690\pi\) |
0.954218 | + | 0.299111i | \(0.0966901\pi\) | |||||||
\(542\) | −1.56093 | + | 5.82549i | −0.0670479 | + | 0.250226i | ||||
\(543\) | −10.3912 | + | 2.78433i | −0.445931 | + | 0.119487i | ||||
\(544\) | 0.597215 | − | 0.160023i | 0.0256054 | − | 0.00686095i | ||||
\(545\) | 0.683054 | + | 31.2428i | 0.0292588 | + | 1.33829i | ||||
\(546\) | 5.66089 | + | 3.92151i | 0.242264 | + | 0.167825i | ||||
\(547\) | 24.5518 | + | 24.5518i | 1.04976 | + | 1.04976i | 0.998695 | + | 0.0510651i | \(0.0162616\pi\) |
0.0510651 | + | 0.998695i | \(0.483738\pi\) | |||||||
\(548\) | 4.12352 | − | 7.14214i | 0.176148 | − | 0.305097i | ||||
\(549\) | 4.94925 | + | 2.85745i | 0.211229 | + | 0.121953i | ||||
\(550\) | 10.6122 | + | 2.35171i | 0.452504 | + | 0.100277i | ||||
\(551\) | −8.57305 | − | 8.57305i | −0.365224 | − | 0.365224i | ||||
\(552\) | −0.585876 | + | 0.338255i | −0.0249365 | + | 0.0143971i | ||||
\(553\) | 8.45928 | − | 4.88397i | 0.359725 | − | 0.207687i | ||||
\(554\) | −8.28088 | − | 8.28088i | −0.351821 | − | 0.351821i | ||||
\(555\) | 5.45889 | − | 3.31285i | 0.231717 | − | 0.140623i | ||||
\(556\) | 12.7043 | + | 7.33484i | 0.538783 | + | 0.311067i | ||||
\(557\) | 3.45419 | − | 5.98283i | 0.146359 | − | 0.253501i | −0.783520 | − | 0.621366i | \(-0.786578\pi\) |
0.929879 | + | 0.367866i | \(0.119911\pi\) | |||||||
\(558\) | −0.691834 | − | 0.691834i | −0.0292877 | − | 0.0292877i | ||||
\(559\) | −11.3574 | + | 5.36576i | −0.480367 | + | 0.226947i | ||||
\(560\) | 2.95320 | − | 3.08522i | 0.124795 | − | 0.130374i | ||||
\(561\) | −1.29830 | + | 0.347879i | −0.0548143 | + | 0.0146874i | ||||
\(562\) | 21.3604 | − | 5.72349i | 0.901033 | − | 0.241431i | ||||
\(563\) | −2.98545 | + | 11.1418i | −0.125822 | + | 0.469573i | −0.999868 | − | 0.0162704i | \(-0.994821\pi\) |
0.874046 | + | 0.485843i | \(0.161487\pi\) | |||||||
\(564\) | −7.67257 | + | 7.67257i | −0.323073 | + | 0.323073i | ||||
\(565\) | 25.7610 | − | 15.6337i | 1.08378 | − | 0.657714i | ||||
\(566\) | 9.26157 | + | 2.48163i | 0.389293 | + | 0.104311i | ||||
\(567\) | 1.90997 | 0.0802112 | ||||||||
\(568\) | −6.64505 | − | 1.78054i | −0.278820 | − | 0.0747096i | ||||
\(569\) | −13.9253 | + | 24.1194i | −0.583780 | + | 1.01114i | 0.411247 | + | 0.911524i | \(0.365093\pi\) |
−0.995026 | + | 0.0996118i | \(0.968240\pi\) | |||||||
\(570\) | 2.24195 | + | 7.69056i | 0.0939049 | + | 0.322122i | ||||
\(571\) | − | 36.5717i | − | 1.53048i | −0.643745 | − | 0.765240i | \(-0.722620\pi\) | ||
0.643745 | − | 0.765240i | \(-0.277380\pi\) | |||||||
\(572\) | −7.81170 | − | 0.643856i | −0.326624 | − | 0.0269210i | ||||
\(573\) | −17.3530 | + | 17.3530i | −0.724934 | + | 0.724934i | ||||
\(574\) | 4.00934 | + | 14.9631i | 0.167347 | + | 0.624546i | ||||
\(575\) | 1.01743 | + | 3.22591i | 0.0424297 | + | 0.134530i | ||||
\(576\) | 0.866025 | − | 0.500000i | 0.0360844 | − | 0.0208333i | ||||
\(577\) | 9.67542i | 0.402793i | 0.979510 | + | 0.201397i | \(0.0645480\pi\) | ||||
−0.979510 | + | 0.201397i | \(0.935452\pi\) | |||||||
\(578\) | −8.30886 | − | 14.3914i | −0.345603 | − | 0.598602i | ||||
\(579\) | −4.89678 | + | 18.2750i | −0.203503 | + | 0.759484i | ||||
\(580\) | 5.46670 | + | 5.23278i | 0.226992 | + | 0.217279i | ||||
\(581\) | −3.66964 | − | 6.35600i | −0.152242 | − | 0.263691i | ||||
\(582\) | −4.74308 | − | 17.7014i | −0.196607 | − | 0.733747i | ||||
\(583\) | −4.11489 | − | 2.37573i | −0.170421 | − | 0.0983928i | ||||
\(584\) | 2.15267 | 0.0890782 | ||||||||
\(585\) | 7.21264 | − | 3.60248i | 0.298206 | − | 0.148944i | ||||
\(586\) | 11.3686 | 0.469633 | ||||||||
\(587\) | 39.9990 | + | 23.0934i | 1.65093 | + | 0.953168i | 0.976689 | + | 0.214661i | \(0.0688648\pi\) |
0.674246 | + | 0.738506i | \(0.264469\pi\) | |||||||
\(588\) | −0.867565 | − | 3.23780i | −0.0357778 | − | 0.133524i | ||||
\(589\) | 1.75255 | + | 3.03551i | 0.0722127 | + | 0.125076i | ||||
\(590\) | 0.708535 | + | 32.4083i | 0.0291699 | + | 1.33423i | ||||
\(591\) | 5.58399 | − | 20.8397i | 0.229695 | − | 0.857232i | ||||
\(592\) | 1.42784 | + | 2.47309i | 0.0586838 | + | 0.101643i | ||||
\(593\) | − | 26.6102i | − | 1.09275i | −0.837541 | − | 0.546374i | \(-0.816008\pi\) | ||
0.837541 | − | 0.546374i | \(-0.183992\pi\) | |||||||
\(594\) | −1.88267 | + | 1.08696i | −0.0772470 | + | 0.0445986i | ||||
\(595\) | 2.31512 | + | 1.26999i | 0.0949106 | + | 0.0520645i | ||||
\(596\) | 3.31108 | + | 12.3571i | 0.135627 | + | 0.506167i | ||||
\(597\) | −16.3562 | + | 16.3562i | −0.669415 | + | 0.669415i | ||||
\(598\) | −1.04196 | − | 2.20545i | −0.0426087 | − | 0.0901875i | ||||
\(599\) | 12.1568i | 0.496711i | 0.968669 | + | 0.248356i | \(0.0798902\pi\) | ||||
−0.968669 | + | 0.248356i | \(0.920110\pi\) | |||||||
\(600\) | −1.50394 | − | 4.76846i | −0.0613979 | − | 0.194671i | ||||
\(601\) | 3.24280 | − | 5.61669i | 0.132276 | − | 0.229109i | −0.792277 | − | 0.610161i | \(-0.791105\pi\) |
0.924554 | + | 0.381052i | \(0.124438\pi\) | |||||||
\(602\) | −6.42728 | − | 1.72218i | −0.261956 | − | 0.0701910i | ||||
\(603\) | −5.85612 | −0.238480 | ||||||||
\(604\) | −19.8110 | − | 5.30834i | −0.806098 | − | 0.215993i | ||||
\(605\) | −3.33397 | + | 13.6273i | −0.135545 | + | 0.554029i | ||||
\(606\) | 11.9623 | − | 11.9623i | 0.485936 | − | 0.485936i | ||||
\(607\) | −5.35073 | + | 19.9692i | −0.217179 | + | 0.810524i | 0.768209 | + | 0.640200i | \(0.221148\pi\) |
−0.985388 | + | 0.170325i | \(0.945518\pi\) | |||||||
\(608\) | −3.46041 | + | 0.927215i | −0.140338 | + | 0.0376035i | ||||
\(609\) | −6.24362 | + | 1.67297i | −0.253004 | + | 0.0677923i | ||||
\(610\) | 9.23140 | + | 8.83639i | 0.373768 | + | 0.357775i | ||||
\(611\) | −25.2979 | − | 29.8427i | −1.02344 | − | 1.20731i | ||||
\(612\) | 0.437192 | + | 0.437192i | 0.0176724 | + | 0.0176724i | ||||
\(613\) | −18.5460 | + | 32.1225i | −0.749064 | + | 1.29742i | 0.199208 | + | 0.979957i | \(0.436163\pi\) |
−0.948272 | + | 0.317460i | \(0.897170\pi\) | |||||||
\(614\) | −14.8812 | − | 8.59165i | −0.600555 | − | 0.346731i | ||||
\(615\) | 17.6162 | + | 4.30985i | 0.710352 | + | 0.173790i | ||||
\(616\) | −2.93600 | − | 2.93600i | −0.118295 | − | 0.118295i | ||||
\(617\) | 4.37225 | − | 2.52432i | 0.176020 | − | 0.101625i | −0.409401 | − | 0.912354i | \(-0.634262\pi\) |
0.585422 | + | 0.810729i | \(0.300929\pi\) | |||||||
\(618\) | −4.41014 | + | 2.54620i | −0.177402 | + | 0.102423i | ||||
\(619\) | 18.2344 | + | 18.2344i | 0.732901 | + | 0.732901i | 0.971193 | − | 0.238292i | \(-0.0765876\pi\) |
−0.238292 | + | 0.971193i | \(0.576588\pi\) | |||||||
\(620\) | −1.13504 | − | 1.87030i | −0.0455842 | − | 0.0751132i | ||||
\(621\) | −0.585876 | − | 0.338255i | −0.0235104 | − | 0.0135737i | ||||
\(622\) | 8.11525 | − | 14.0560i | 0.325392 | − | 0.563595i | ||||
\(623\) | 1.12504 | + | 1.12504i | 0.0450737 | + | 0.0450737i | ||||
\(624\) | 1.54019 | + | 3.26003i | 0.0616570 | + | 0.130506i | ||||
\(625\) | −24.9045 | + | 2.18315i | −0.996180 | + | 0.0873258i | ||||
\(626\) | −20.3073 | + | 5.44132i | −0.811643 | + | 0.217479i | ||||
\(627\) | 7.52268 | − | 2.01570i | 0.300427 | − | 0.0804991i | ||||
\(628\) | −2.23565 | + | 8.34356i | −0.0892121 | + | 0.332944i | ||||
\(629\) | −1.24848 | + | 1.24848i | −0.0497801 | + | 0.0497801i | ||||
\(630\) | 4.14847 | + | 1.01494i | 0.165279 | + | 0.0404361i | ||||
\(631\) | 14.7435 | + | 3.95051i | 0.586930 | + | 0.157267i | 0.540050 | − | 0.841633i | \(-0.318405\pi\) |
0.0468803 | + | 0.998901i | \(0.485072\pi\) | |||||||
\(632\) | 5.11418 | 0.203431 | ||||||||
\(633\) | 24.8260 | + | 6.65211i | 0.986745 | + | 0.264398i | ||||
\(634\) | 16.4931 | − | 28.5669i | 0.655025 | − | 1.13454i | ||||
\(635\) | −26.8994 | − | 14.7560i | −1.06747 | − | 0.585574i | ||||
\(636\) | 2.18566i | 0.0866672i | ||||||||
\(637\) | 11.8915 | − | 2.15853i | 0.471160 | − | 0.0855242i | ||||
\(638\) | 5.20230 | − | 5.20230i | 0.205961 | − | 0.205961i | ||||
\(639\) | −1.78054 | − | 6.64505i | −0.0704369 | − | 0.262874i | ||||
\(640\) | 2.14671 | − | 0.625808i | 0.0848562 | − | 0.0247372i | ||||
\(641\) | −41.2213 | + | 23.7991i | −1.62814 | + | 0.940008i | −0.643495 | + | 0.765450i | \(0.722516\pi\) |
−0.984647 | + | 0.174558i | \(0.944150\pi\) | |||||||
\(642\) | 9.54075i | 0.376543i | ||||||||
\(643\) | −11.1405 | − | 19.2959i | −0.439339 | − | 0.760957i | 0.558300 | − | 0.829639i | \(-0.311454\pi\) |
−0.997639 | + | 0.0686821i | \(0.978121\pi\) | |||||||
\(644\) | 0.334424 | − | 1.24809i | 0.0131782 | − | 0.0491816i | ||||
\(645\) | −5.38670 | + | 5.62750i | −0.212101 | + | 0.221583i | ||||
\(646\) | −1.10749 | − | 1.91824i | −0.0435738 | − | 0.0754720i | ||||
\(647\) | 4.86376 | + | 18.1518i | 0.191214 | + | 0.713620i | 0.993214 | + | 0.116297i | \(0.0371024\pi\) |
−0.802001 | + | 0.597323i | \(0.796231\pi\) | |||||||
\(648\) | 0.866025 | + | 0.500000i | 0.0340207 | + | 0.0196419i | ||||
\(649\) | 31.5151 | 1.23708 | ||||||||
\(650\) | 17.5802 | − | 3.99191i | 0.689554 | − | 0.156576i | ||||
\(651\) | 1.86872 | 0.0732408 | ||||||||
\(652\) | −9.09558 | − | 5.25134i | −0.356210 | − | 0.205658i | ||||
\(653\) | 0.407336 | + | 1.52020i | 0.0159403 | + | 0.0594899i | 0.973438 | − | 0.228951i | \(-0.0735297\pi\) |
−0.957498 | + | 0.288441i | \(0.906863\pi\) | |||||||
\(654\) | −6.98776 | − | 12.1032i | −0.273243 | − | 0.473271i | ||||
\(655\) | −25.7252 | + | 26.8752i | −1.00517 | + | 1.05010i | ||||
\(656\) | −2.09916 | + | 7.83418i | −0.0819585 | + | 0.305873i | ||||
\(657\) | 1.07634 | + | 1.86427i | 0.0419918 | + | 0.0727320i | ||||
\(658\) | − | 20.7244i | − | 0.807922i | ||||||
\(659\) | −3.05103 | + | 1.76151i | −0.118851 | + | 0.0686187i | −0.558247 | − | 0.829675i | \(-0.688526\pi\) |
0.439396 | + | 0.898294i | \(0.355193\pi\) | |||||||
\(660\) | −4.66678 | + | 1.36046i | −0.181654 | + | 0.0529558i | ||||
\(661\) | 12.5243 | + | 46.7413i | 0.487139 | + | 1.81803i | 0.570231 | + | 0.821484i | \(0.306854\pi\) |
−0.0830924 | + | 0.996542i | \(0.526480\pi\) | |||||||
\(662\) | −1.25741 | + | 1.25741i | −0.0488706 | + | 0.0488706i | ||||
\(663\) | −1.70048 | + | 1.44151i | −0.0660410 | + | 0.0559835i | ||||
\(664\) | − | 3.84261i | − | 0.149122i | ||||||
\(665\) | −13.4144 | − | 7.35863i | −0.520187 | − | 0.285356i | ||||
\(666\) | −1.42784 | + | 2.47309i | −0.0553276 | + | 0.0958303i | ||||
\(667\) | 2.21149 | + | 0.592567i | 0.0856292 | + | 0.0229443i | ||||
\(668\) | 6.95195 | 0.268979 | ||||||||
\(669\) | 26.6147 | + | 7.13140i | 1.02899 | + | 0.275716i | ||||
\(670\) | −12.7195 | − | 3.11188i | −0.491399 | − | 0.120222i | ||||
\(671\) | 8.78492 | − | 8.78492i | 0.339138 | − | 0.339138i | ||||
\(672\) | −0.494337 | + | 1.84489i | −0.0190695 | + | 0.0711682i | ||||
\(673\) | 21.6749 | − | 5.80778i | 0.835507 | − | 0.223873i | 0.184392 | − | 0.982853i | \(-0.440968\pi\) |
0.651115 | + | 0.758979i | \(0.274302\pi\) | |||||||
\(674\) | −11.7739 | + | 3.15481i | −0.453514 | + | 0.121519i | ||||
\(675\) | 3.37764 | − | 3.68668i | 0.130005 | − | 0.141900i | ||||
\(676\) | −12.1707 | + | 4.56894i | −0.468102 | + | 0.175728i | ||||
\(677\) | −31.0923 | − | 31.0923i | −1.19497 | − | 1.19497i | −0.975653 | − | 0.219322i | \(-0.929616\pi\) |
−0.219322 | − | 0.975653i | \(-0.570384\pi\) | |||||||
\(678\) | −6.73812 | + | 11.6708i | −0.258776 | + | 0.448213i | ||||
\(679\) | 30.3125 | + | 17.5009i | 1.16329 | + | 0.671624i | ||||
\(680\) | 0.717266 | + | 1.18190i | 0.0275059 | + | 0.0453240i | ||||
\(681\) | −4.84010 | − | 4.84010i | −0.185473 | − | 0.185473i | ||||
\(682\) | −1.84201 | + | 1.06348i | −0.0705342 | + | 0.0407229i | ||||
\(683\) | −10.6173 | + | 6.12989i | −0.406259 | + | 0.234554i | −0.689181 | − | 0.724589i | \(-0.742030\pi\) |
0.282922 | + | 0.959143i | \(0.408696\pi\) | |||||||
\(684\) | −2.53320 | − | 2.53320i | −0.0968593 | − | 0.0968593i | ||||
\(685\) | 17.9126 | + | 4.38239i | 0.684407 | + | 0.167442i | ||||
\(686\) | 17.1231 | + | 9.88602i | 0.653763 | + | 0.377450i | ||||
\(687\) | 9.61722 | − | 16.6575i | 0.366920 | − | 0.635524i | ||||
\(688\) | −2.46344 | − | 2.46344i | −0.0939177 | − | 0.0939177i | ||||
\(689\) | −7.85389 | − | 0.647333i | −0.299209 | − | 0.0246614i | ||||
\(690\) | −1.09278 | − | 1.04602i | −0.0416015 | − | 0.0398214i | ||||
\(691\) | −41.9840 | + | 11.2496i | −1.59715 | + | 0.427954i | −0.944179 | − | 0.329432i | \(-0.893143\pi\) |
−0.652967 | + | 0.757386i | \(0.726476\pi\) | |||||||
\(692\) | −12.7288 | + | 3.41066i | −0.483875 | + | 0.129654i | ||||
\(693\) | 1.07465 | − | 4.01065i | 0.0408226 | − | 0.152352i | ||||
\(694\) | 12.5259 | − | 12.5259i | 0.475477 | − | 0.475477i | ||||
\(695\) | −7.79531 | + | 31.8627i | −0.295693 | + | 1.20862i | ||||
\(696\) | −3.26896 | − | 0.875916i | −0.123910 | − | 0.0332015i | ||||
\(697\) | −5.01461 | −0.189942 | ||||||||
\(698\) | −16.2696 | − | 4.35943i | −0.615814 | − | 0.165007i | ||||
\(699\) | −4.77283 | + | 8.26678i | −0.180525 | + | 0.312678i | ||||
\(700\) | 8.47120 | + | 4.40891i | 0.320181 | + | 0.166641i | ||||
\(701\) | − | 2.09730i | − | 0.0792141i | −0.999215 | − | 0.0396070i | \(-0.987389\pi\) | ||
0.999215 | − | 0.0396070i | \(-0.0126106\pi\) | |||||||
\(702\) | −2.05318 | + | 2.96386i | −0.0774921 | + | 0.111864i | ||||
\(703\) | 7.23400 | − | 7.23400i | 0.272836 | − | 0.272836i | ||||
\(704\) | −0.562653 | − | 2.09985i | −0.0212058 | − | 0.0791410i | ||||
\(705\) | −21.2723 | − | 11.6692i | −0.801162 | − | 0.439488i | ||||
\(706\) | 30.1361 | − | 17.3991i | 1.13419 | − | 0.654824i | ||||
\(707\) | 32.3115i | 1.21520i | ||||||||
\(708\) | −7.24844 | − | 12.5547i | −0.272413 | − | 0.471833i | ||||
\(709\) | −1.74277 | + | 6.50411i | −0.0654511 | + | 0.244267i | −0.990899 | − | 0.134608i | \(-0.957022\pi\) |
0.925448 | + | 0.378875i | \(0.123689\pi\) | |||||||
\(710\) | −0.336233 | − | 15.3793i | −0.0126186 | − | 0.577173i | ||||
\(711\) | 2.55709 | + | 4.42901i | 0.0958984 | + | 0.166101i | ||||
\(712\) | 0.215602 | + | 0.804636i | 0.00808001 | + | 0.0301550i | ||||
\(713\) | −0.573221 | − | 0.330949i | −0.0214673 | − | 0.0123942i | ||||
\(714\) | −1.18090 | −0.0441941 | ||||||||
\(715\) | −3.50646 | − | 17.1724i | −0.131134 | − | 0.642211i | ||||
\(716\) | −16.3584 | −0.611341 | ||||||||
\(717\) | −4.78020 | − | 2.75985i | −0.178520 | − | 0.103069i | ||||
\(718\) | −4.16700 | − | 15.5515i | −0.155511 | − | 0.580375i | ||||
\(719\) | −9.33097 | − | 16.1617i | −0.347987 | − | 0.602730i | 0.637905 | − | 0.770115i | \(-0.279801\pi\) |
−0.985892 | + | 0.167385i | \(0.946468\pi\) | |||||||
\(720\) | 1.61532 | + | 1.54620i | 0.0601995 | + | 0.0576235i | ||||
\(721\) | 2.51736 | − | 9.39490i | 0.0937513 | − | 0.349885i | ||||
\(722\) | −3.08290 | − | 5.33974i | −0.114734 | − | 0.198725i | ||||
\(723\) | 11.1409i | 0.414335i | ||||||||
\(724\) | 9.31654 | − | 5.37891i | 0.346246 | − | 0.199905i | ||||
\(725\) | −7.81215 | + | 15.0101i | −0.290136 | + | 0.557462i | ||||
\(726\) | −1.62385 | − | 6.06027i | −0.0602666 | − | 0.224918i | ||||
\(727\) | −25.5354 | + | 25.5354i | −0.947057 | + | 0.947057i | −0.998667 | − | 0.0516107i | \(-0.983565\pi\) |
0.0516107 | + | 0.998667i | \(0.483565\pi\) | |||||||
\(728\) | −6.48296 | − | 2.32274i | −0.240274 | − | 0.0860864i | ||||
\(729\) | 1.00000i | 0.0370370i | ||||||||
\(730\) | 1.34716 | + | 4.62116i | 0.0498606 | + | 0.171037i | ||||
\(731\) | 1.07700 | − | 1.86541i | 0.0398341 | − | 0.0689947i | ||||
\(732\) | −5.52017 | − | 1.47913i | −0.204031 | − | 0.0546700i | ||||
\(733\) | −3.90642 | −0.144287 | −0.0721435 | − | 0.997394i | \(-0.522984\pi\) | ||||
−0.0721435 | + | 0.997394i | \(0.522984\pi\) | |||||||
\(734\) | 12.8267 | + | 3.43690i | 0.473441 | + | 0.126858i | ||||
\(735\) | 6.40768 | − | 3.88865i | 0.236351 | − | 0.143435i | ||||
\(736\) | 0.478365 | − | 0.478365i | 0.0176328 | − | 0.0176328i | ||||
\(737\) | −3.29496 | + | 12.2970i | −0.121371 | + | 0.452965i | ||||
\(738\) | −7.83418 | + | 2.09916i | −0.288380 | + | 0.0772712i | ||||
\(739\) | 4.49797 | − | 1.20523i | 0.165461 | − | 0.0443350i | −0.175138 | − | 0.984544i | \(-0.556037\pi\) |
0.340598 | + | 0.940209i | \(0.389370\pi\) | |||||||
\(740\) | −4.41545 | + | 4.61284i | −0.162315 | + | 0.169571i | ||||
\(741\) | 9.85298 | − | 8.35245i | 0.361958 | − | 0.306835i | ||||
\(742\) | −2.95185 | − | 2.95185i | −0.108366 | − | 0.108366i | ||||
\(743\) | 7.15557 | − | 12.3938i | 0.262512 | − | 0.454685i | −0.704396 | − | 0.709807i | \(-0.748782\pi\) |
0.966909 | + | 0.255122i | \(0.0821156\pi\) | |||||||
\(744\) | 0.847320 | + | 0.489200i | 0.0310643 | + | 0.0179350i | ||||
\(745\) | −24.4550 | + | 14.8411i | −0.895964 | + | 0.543736i | ||||
\(746\) | 4.21782 | + | 4.21782i | 0.154425 | + | 0.154425i | ||||
\(747\) | 3.32780 | − | 1.92131i | 0.121758 | − | 0.0702969i | ||||
\(748\) | 1.16402 | − | 0.672050i | 0.0425609 | − | 0.0245726i | ||||
\(749\) | −12.8853 | − | 12.8853i | −0.470818 | − | 0.470818i | ||||
\(750\) | 9.29532 | − | 6.21265i | 0.339417 | − | 0.226854i | ||||
\(751\) | −24.7594 | − | 14.2948i | −0.903482 | − | 0.521626i | −0.0251540 | − | 0.999684i | \(-0.508008\pi\) |
−0.878328 | + | 0.478058i | \(0.841341\pi\) | |||||||
\(752\) | 5.42532 | − | 9.39693i | 0.197841 | − | 0.342671i | ||||
\(753\) | −9.72025 | − | 9.72025i | −0.354226 | − | 0.354226i | ||||
\(754\) | 4.11566 | − | 11.4872i | 0.149884 | − | 0.418338i | ||||
\(755\) | −1.00242 | − | 45.8505i | −0.0364818 | − | 1.66867i | ||||
\(756\) | −1.84489 | + | 0.494337i | −0.0670980 | + | 0.0179789i | ||||
\(757\) | 6.19580 | − | 1.66016i | 0.225190 | − | 0.0603395i | −0.144460 | − | 0.989511i | \(-0.546144\pi\) |
0.369650 | + | 0.929171i | \(0.379478\pi\) | |||||||
\(758\) | 2.67271 | − | 9.97467i | 0.0970771 | − | 0.362296i | ||||
\(759\) | −1.03993 | + | 1.03993i | −0.0377471 | + | 0.0377471i | ||||
\(760\) | −4.15602 | − | 6.84825i | −0.150755 | − | 0.248412i | ||||
\(761\) | 9.47294 | + | 2.53827i | 0.343394 | + | 0.0920121i | 0.426394 | − | 0.904537i | \(-0.359784\pi\) |
−0.0830005 | + | 0.996550i | \(0.526450\pi\) | |||||||
\(762\) | 13.7209 | 0.497056 | ||||||||
\(763\) | 25.7833 | + | 6.90862i | 0.933419 | + | 0.250109i | ||||
\(764\) | 12.2705 | − | 21.2531i | 0.443930 | − | 0.768909i | ||||
\(765\) | −0.664926 | + | 1.21212i | −0.0240405 | + | 0.0438244i | ||||
\(766\) | 4.42893i | 0.160024i | ||||||||
\(767\) | 47.2603 | − | 22.3280i | 1.70647 | − | 0.806216i | ||||
\(768\) | −0.707107 | + | 0.707107i | −0.0255155 | + | 0.0255155i | ||||
\(769\) | −4.48417 | − | 16.7351i | −0.161703 | − | 0.603485i | −0.998438 | − | 0.0558759i | \(-0.982205\pi\) |
0.836735 | − | 0.547609i | \(-0.184462\pi\) | |||||||
\(770\) | 4.46537 | − | 8.14011i | 0.160921 | − | 0.293349i | ||||
\(771\) | 0.113522 | − | 0.0655418i | 0.00408838 | − | 0.00236043i | ||||
\(772\) | − | 18.9197i | − | 0.680934i | ||||||
\(773\) | 22.3097 | + | 38.6416i | 0.802426 | + | 1.38984i | 0.918015 | + | 0.396545i | \(0.129791\pi\) |
−0.115589 | + | 0.993297i | \(0.536876\pi\) | |||||||
\(774\) | 0.901681 | − | 3.36512i | 0.0324103 | − | 0.120957i | ||||
\(775\) | 3.30468 | − | 3.60705i | 0.118708 | − | 0.129569i | ||||
\(776\) | 9.16293 | + | 15.8707i | 0.328930 | + | 0.569723i | ||||
\(777\) | −1.41167 | − | 5.26841i | −0.0506433 | − | 0.189003i | ||||
\(778\) | 0.964844 | + | 0.557053i | 0.0345913 | + | 0.0199713i | ||||
\(779\) | 29.0559 | 1.04103 | ||||||||
\(780\) | −6.03448 | + | 5.34650i | −0.216069 | + | 0.191435i | ||||
\(781\) | −14.9554 | −0.535147 | ||||||||
\(782\) | 0.362237 | + | 0.209138i | 0.0129536 | + | 0.00747874i | ||||
\(783\) | −0.875916 | − | 3.26896i | −0.0313027 | − | 0.116823i | ||||
\(784\) | 1.67601 | + | 2.90293i | 0.0598574 | + | 0.103676i | ||||
\(785\) | −19.3103 | + | 0.422177i | −0.689214 | + | 0.0150681i | ||||
\(786\) | 4.30615 | − | 16.0708i | 0.153595 | − | 0.573225i | ||||
\(787\) | −5.05518 | − | 8.75584i | −0.180198 | − | 0.312112i | 0.761750 | − | 0.647871i | \(-0.224340\pi\) |
−0.941948 | + | 0.335759i | \(0.891007\pi\) | |||||||
\(788\) | 21.5749i | 0.768573i | ||||||||
\(789\) | 14.6067 | − | 8.43319i | 0.520013 | − | 0.300229i | ||||
\(790\) | 3.20050 | + | 10.9787i | 0.113869 | + | 0.390603i | ||||
\(791\) | −6.66180 | − | 24.8622i | −0.236866 | − | 0.883997i | ||||
\(792\) | 1.53720 | − | 1.53720i | 0.0546219 | − | 0.0546219i | ||||
\(793\) | 6.94996 | − | 19.3979i | 0.246800 | − | 0.688840i | ||||
\(794\) | − | 38.4947i | − | 1.36613i | ||||||
\(795\) | −4.69198 | + | 1.36781i | −0.166408 | + | 0.0485111i | ||||
\(796\) | 11.5656 | − | 20.0322i | 0.409931 | − | 0.710022i | ||||
\(797\) | −10.2917 | − | 2.75765i | −0.364551 | − | 0.0976811i | 0.0718937 | − | 0.997412i | \(-0.477096\pi\) |
−0.436444 | + | 0.899731i | \(0.643762\pi\) | |||||||
\(798\) | 6.84244 | 0.242220 | ||||||||
\(799\) | 6.48017 | + | 1.73636i | 0.229252 | + | 0.0614279i | ||||
\(800\) | 2.68686 | + | 4.21673i | 0.0949948 | + | 0.149084i | ||||
\(801\) | −0.589034 | + | 0.589034i | −0.0208125 | + | 0.0208125i | ||||
\(802\) | −2.65088 | + | 9.89323i | −0.0936059 | + | 0.349342i | ||||
\(803\) | 4.52028 | − | 1.21121i | 0.159517 | − | 0.0427425i | ||||
\(804\) | 5.65658 | − | 1.51568i | 0.199492 | − | 0.0534537i | ||||
\(805\) | 2.88857 | − | 0.0631521i | 0.101809 | − | 0.00222582i | ||||
\(806\) | −2.00883 | + | 2.89984i | −0.0707580 | + | 0.102143i | ||||
\(807\) | 3.87674 | + | 3.87674i | 0.136468 | + | 0.136468i | ||||
\(808\) | −8.45864 | + | 14.6508i | −0.297574 | + | 0.515413i | ||||
\(809\) | 1.08288 | + | 0.625203i | 0.0380722 | + | 0.0219810i | 0.518915 | − | 0.854826i | \(-0.326336\pi\) |
−0.480843 | + | 0.876807i | \(0.659669\pi\) | |||||||
\(810\) | −0.531389 | + | 2.17201i | −0.0186711 | + | 0.0763166i | ||||
\(811\) | 18.6976 | + | 18.6976i | 0.656562 | + | 0.656562i | 0.954565 | − | 0.298003i | \(-0.0963206\pi\) |
−0.298003 | + | 0.954565i | \(0.596321\pi\) | |||||||
\(812\) | 5.59788 | − | 3.23194i | 0.196447 | − | 0.113419i | ||||
\(813\) | 5.22299 | − | 3.01549i | 0.183178 | − | 0.105758i | ||||
\(814\) | 4.38974 | + | 4.38974i | 0.153860 | + | 0.153860i | ||||
\(815\) | 5.58101 | − | 22.8119i | 0.195494 | − | 0.799066i | ||||
\(816\) | −0.535449 | − | 0.309141i | −0.0187445 | − | 0.0108221i | ||||
\(817\) | −6.24038 | + | 10.8087i | −0.218323 | + | 0.378147i | ||||
\(818\) | −12.4525 | − | 12.4525i | −0.435392 | − | 0.435392i | ||||
\(819\) | −1.22993 | − | 6.77577i | −0.0429772 | − | 0.236765i | ||||
\(820\) | −18.1314 | + | 0.396402i | −0.633175 | + | 0.0138430i | ||||
\(821\) | −8.96564 | + | 2.40234i | −0.312903 | + | 0.0838421i | −0.411853 | − | 0.911250i | \(-0.635118\pi\) |
0.0989499 | + | 0.995092i | \(0.468452\pi\) | |||||||
\(822\) | −7.96603 | + | 2.13449i | −0.277847 | + | 0.0744489i | ||||
\(823\) | 1.27175 | − | 4.74623i | 0.0443304 | − | 0.165443i | −0.940212 | − | 0.340590i | \(-0.889373\pi\) |
0.984542 | + | 0.175147i | \(0.0560399\pi\) | |||||||
\(824\) | 3.60087 | − | 3.60087i | 0.125442 | − | 0.125442i | ||||
\(825\) | −5.84102 | − | 9.16684i | −0.203358 | − | 0.319149i | ||||
\(826\) | 26.7452 | + | 7.16634i | 0.930583 | + | 0.249349i | ||||
\(827\) | −32.9053 | −1.14423 | −0.572114 | − | 0.820174i | \(-0.693877\pi\) | ||||
−0.572114 | + | 0.820174i | \(0.693877\pi\) | |||||||
\(828\) | 0.653459 | + | 0.175094i | 0.0227093 | + | 0.00608493i | ||||
\(829\) | 1.27999 | − | 2.21701i | 0.0444559 | − | 0.0769998i | −0.842941 | − | 0.538006i | \(-0.819178\pi\) |
0.887397 | + | 0.461006i | \(0.152511\pi\) | |||||||
\(830\) | 8.24897 | − | 2.40474i | 0.286326 | − | 0.0834697i | ||||
\(831\) | 11.7109i | 0.406248i | ||||||||
\(832\) | −2.33147 | − | 2.75032i | −0.0808291 | − | 0.0953502i | ||||
\(833\) | −1.46547 | + | 1.46547i | −0.0507756 | + | 0.0507756i | ||||
\(834\) | −3.79680 | − | 14.1698i | −0.131472 | − | 0.490661i | ||||
\(835\) | 4.35059 | + | 14.9238i | 0.150558 | + | 0.516460i | ||||
\(836\) | −6.74465 | + | 3.89402i | −0.233269 | + | 0.134678i | ||||
\(837\) | 0.978401i | 0.0338185i | ||||||||
\(838\) | −3.14274 | − | 5.44338i | −0.108564 | − | 0.188038i | ||||
\(839\) | 3.70671 | − | 13.8336i | 0.127970 | − | 0.477590i | −0.871958 | − | 0.489580i | \(-0.837150\pi\) |
0.999928 | + | 0.0119902i | \(0.00381669\pi\) | |||||||
\(840\) | −4.26980 | + | 0.0933498i | −0.147322 | + | 0.00322087i | ||||
\(841\) | −8.77333 | − | 15.1959i | −0.302529 | − | 0.523995i | ||||
\(842\) | −6.62912 | − | 24.7402i | −0.228455 | − | 0.852604i | ||||
\(843\) | −19.1512 | − | 11.0569i | −0.659602 | − | 0.380821i | ||||
\(844\) | −25.7018 | −0.884692 | ||||||||
\(845\) | −17.4247 | − | 23.2676i | −0.599427 | − | 0.800429i | ||||
\(846\) | 10.8506 | 0.373053 | ||||||||
\(847\) | 10.3778 | + | 5.99163i | 0.356586 | + | 0.205875i | ||||
\(848\) | −0.565691 | − | 2.11119i | −0.0194259 | − | 0.0724985i | ||||
\(849\) | −4.79414 | − | 8.30370i | −0.164535 | − | 0.284982i | ||||
\(850\) | −2.08833 | + | 2.27941i | −0.0716293 | + | 0.0781830i | ||||
\(851\) | −0.500012 | + | 1.86607i | −0.0171402 | + | 0.0639680i | ||||
\(852\) | 3.43973 | + | 5.95779i | 0.117843 | + | 0.204110i | ||||
\(853\) | − | 5.12578i | − | 0.175503i | −0.996142 | − | 0.0877516i | \(-0.972032\pi\) | ||
0.996142 | − | 0.0877516i | \(-0.0279682\pi\) | |||||||
\(854\) | 9.45292 | − | 5.45765i | 0.323472 | − | 0.186757i | ||||
\(855\) | 3.85275 | − | 7.02334i | 0.131761 | − | 0.240193i | ||||
\(856\) | −2.46933 | − | 9.21566i | −0.0843999 | − | 0.314985i | ||||
\(857\) | −25.5465 | + | 25.5465i | −0.872652 | + | 0.872652i | −0.992761 | − | 0.120109i | \(-0.961676\pi\) |
0.120109 | + | 0.992761i | \(0.461676\pi\) | |||||||
\(858\) | 5.06843 | + | 5.97898i | 0.173033 | + | 0.204119i | ||||
\(859\) | − | 39.8525i | − | 1.35975i | −0.733328 | − | 0.679875i | \(-0.762034\pi\) | ||
0.733328 | − | 0.679875i | \(-0.237966\pi\) | |||||||
\(860\) | 3.74665 | − | 6.82993i | 0.127760 | − | 0.232899i | ||||
\(861\) | 7.74544 | − | 13.4155i | 0.263964 | − | 0.457199i | ||||
\(862\) | −11.5686 | − | 3.09979i | −0.394027 | − | 0.105579i | ||||
\(863\) | 46.1552 | 1.57114 | 0.785570 | − | 0.618773i | \(-0.212370\pi\) | ||||
0.785570 | + | 0.618773i | \(0.212370\pi\) | |||||||
\(864\) | −0.965926 | − | 0.258819i | −0.0328615 | − | 0.00880520i | ||||
\(865\) | −15.2875 | − | 25.1905i | −0.519789 | − | 0.856504i | ||||
\(866\) | 25.0600 | − | 25.0600i | 0.851572 | − | 0.851572i | ||||
\(867\) | −4.30098 | + | 16.0515i | −0.146069 | + | 0.545137i | ||||
\(868\) | −1.80504 | + | 0.483659i | −0.0612671 | + | 0.0164165i | ||||
\(869\) | 10.7390 | − | 2.87751i | 0.364296 | − | 0.0976128i | ||||
\(870\) | −0.165407 | − | 7.56567i | −0.00560781 | − | 0.256500i | ||||
\(871\) | 3.77106 | + | 20.7751i | 0.127777 | + | 0.703936i | ||||
\(872\) | 9.88219 | + | 9.88219i | 0.334653 | + | 0.334653i | ||||
\(873\) | −9.16293 | + | 15.8707i | −0.310118 | + | 0.537140i | ||||
\(874\) | −2.09889 | − | 1.21180i | −0.0709960 | − | 0.0409896i | ||||
\(875\) | −4.16330 | + | 20.9443i | −0.140745 | + | 0.708048i | ||||
\(876\) | −1.52217 | − | 1.52217i | −0.0514293 | − | 0.0514293i | ||||
\(877\) | −42.3941 | + | 24.4763i | −1.43155 | + | 0.826505i | −0.997239 | − | 0.0742588i | \(-0.976341\pi\) |
−0.434310 | + | 0.900764i | \(0.643008\pi\) | |||||||
\(878\) | −26.2886 | + | 15.1777i | −0.887198 | + | 0.512224i | ||||
\(879\) | −8.03881 | − | 8.03881i | −0.271142 | − | 0.271142i | ||||
\(880\) | 4.15565 | − | 2.52196i | 0.140087 | − | 0.0850151i | ||||
\(881\) | 10.4747 | + | 6.04758i | 0.352902 | + | 0.203748i | 0.665963 | − | 0.745985i | \(-0.268021\pi\) |
−0.313060 | + | 0.949733i | \(0.601354\pi\) | |||||||
\(882\) | −1.67601 | + | 2.90293i | −0.0564341 | + | 0.0977467i | ||||
\(883\) | 0.0376098 | + | 0.0376098i | 0.00126567 | + | 0.00126567i | 0.707739 | − | 0.706474i | \(-0.249715\pi\) |
−0.706474 | + | 0.707739i | \(0.749715\pi\) | |||||||
\(884\) | 1.26944 | − | 1.83250i | 0.0426960 | − | 0.0616338i | ||||
\(885\) | 22.4151 | − | 23.4171i | 0.753475 | − | 0.787158i | ||||
\(886\) | −26.2624 | + | 7.03698i | −0.882301 | + | 0.236412i | ||||
\(887\) | 19.5656 | − | 5.24258i | 0.656947 | − | 0.176029i | 0.0850794 | − | 0.996374i | \(-0.472886\pi\) |
0.571868 | + | 0.820346i | \(0.306219\pi\) | |||||||
\(888\) | 0.739104 | − | 2.75837i | 0.0248027 | − | 0.0925650i | ||||
\(889\) | −18.5308 | + | 18.5308i | −0.621503 | + | 0.621503i | ||||
\(890\) | −1.59239 | + | 0.966382i | −0.0533772 | + | 0.0323932i | ||||
\(891\) | 2.09985 | + | 0.562653i | 0.0703476 | + | 0.0188496i | ||||
\(892\) | −27.5536 | −0.922563 | ||||||||
\(893\) | −37.5477 | − | 10.0609i | −1.25649 | − | 0.336675i | ||||
\(894\) | 6.39651 | − | 11.0791i | 0.213931 | − | 0.370540i | ||||
\(895\) | −10.2372 | − | 35.1167i | −0.342192 | − | 1.17382i | ||||
\(896\) | − | 1.90997i | − | 0.0638076i | ||||||
\(897\) | −0.822713 | + | 2.29626i | −0.0274696 | + | 0.0766699i | ||||
\(898\) | −9.55452 | + | 9.55452i | −0.318838 | + | 0.318838i | ||||
\(899\) | −0.856997 | − | 3.19836i | −0.0285824 | − | 0.106671i | ||||
\(900\) | −2.30836 | + | 4.43525i | −0.0769455 | + | 0.147842i | ||||
\(901\) | 1.17031 | − | 0.675679i | 0.0389887 | − | 0.0225101i | ||||
\(902\) | 17.6317i | 0.587071i | ||||||||
\(903\) | 3.32701 | + | 5.76254i | 0.110716 | + | 0.191765i | ||||
\(904\) | 3.48791 | − | 13.0170i | 0.116006 | − | 0.432940i | ||||
\(905\) | 17.3773 | + | 16.6337i | 0.577642 | + | 0.552924i | ||||
\(906\) | 10.2549 | + | 17.7621i | 0.340697 | + | 0.590105i | ||||
\(907\) | −13.4020 | − | 50.0170i | −0.445006 | − | 1.66079i | −0.715920 | − | 0.698182i | \(-0.753993\pi\) |
0.270914 | − | 0.962604i | \(-0.412674\pi\) | |||||||
\(908\) | 5.92789 | + | 3.42247i | 0.196724 | + | 0.113579i | ||||
\(909\) | −16.9173 | −0.561111 | ||||||||
\(910\) | 0.929157 | − | 15.3706i | 0.0308013 | − | 0.509531i | ||||
\(911\) | −0.617609 | −0.0204623 | −0.0102311 | − | 0.999948i | \(-0.503257\pi\) | ||||
−0.0102311 | + | 0.999948i | \(0.503257\pi\) | |||||||
\(912\) | 3.10252 | + | 1.79124i | 0.102735 | + | 0.0593140i | ||||
\(913\) | −2.16206 | − | 8.06890i | −0.0715536 | − | 0.267042i | ||||
\(914\) | −0.114554 | − | 0.198413i | −0.00378910 | − | 0.00656291i | ||||
\(915\) | −0.279316 | − | 12.7759i | −0.00923389 | − | 0.422357i | ||||
\(916\) | −4.97824 | + | 18.5790i | −0.164486 | + | 0.613869i | ||||
\(917\) | 15.8887 | + | 27.5201i | 0.524692 | + | 0.908794i | ||||
\(918\) | − | 0.618283i | − | 0.0204064i | ||||||
\(919\) | −13.3803 | + | 7.72510i | −0.441374 | + | 0.254828i | −0.704180 | − | 0.710021i | \(-0.748685\pi\) |
0.262806 | + | 0.964849i | \(0.415352\pi\) | |||||||
\(920\) | 1.32628 | + | 0.727547i | 0.0437261 | + | 0.0239865i | ||||
\(921\) | 4.44736 | + | 16.5978i | 0.146546 | + | 0.546916i | ||||
\(922\) | −26.0495 | + | 26.0495i | −0.857895 | + | 0.857895i | ||||
\(923\) | −22.4273 | + | 10.5957i | −0.738202 | + | 0.348761i | ||||
\(924\) | 4.15213i | 0.136595i | ||||||||
\(925\) | −12.6657 | − | 6.59195i | −0.416444 | − | 0.216742i | ||||
\(926\) | 0.0313299 | − | 0.0542649i | 0.00102956 | − | 0.00178326i | ||||
\(927\) | 4.91887 | + | 1.31801i | 0.161557 | + | 0.0432891i | ||||
\(928\) | 3.38428 | 0.111094 | ||||||||
\(929\) | −12.5676 | − | 3.36748i | −0.412330 | − | 0.110483i | 0.0466902 | − | 0.998909i | \(-0.485133\pi\) |
−0.459020 | + | 0.888426i | \(0.651799\pi\) | |||||||
\(930\) | −0.519911 | + | 2.12510i | −0.0170486 | + | 0.0696846i | ||||
\(931\) | 8.49132 | − | 8.49132i | 0.278292 | − | 0.278292i | ||||
\(932\) | 2.47060 | − | 9.22039i | 0.0809271 | − | 0.302024i | ||||
\(933\) | −15.6775 | + | 4.20076i | −0.513257 | + | 0.137527i | ||||
\(934\) | −17.0231 | + | 4.56133i | −0.557014 | + | 0.149251i | ||||
\(935\) | 2.17115 | + | 2.07825i | 0.0710043 | + | 0.0679660i | ||||
\(936\) | 1.21611 | − | 3.39427i | 0.0397499 | − | 0.110945i | ||||
\(937\) | −10.5551 | − | 10.5551i | −0.344821 | − | 0.344821i | 0.513355 | − | 0.858176i | \(-0.328402\pi\) |
−0.858176 | + | 0.513355i | \(0.828402\pi\) | |||||||
\(938\) | −5.59251 | + | 9.68651i | −0.182602 | + | 0.316276i | ||||
\(939\) | 18.2070 | + | 10.5118i | 0.594164 | + | 0.343041i | ||||
\(940\) | 23.5677 | + | 5.76591i | 0.768694 | + | 0.188063i | ||||
\(941\) | 29.8629 | + | 29.8629i | 0.973501 | + | 0.973501i | 0.999658 | − | 0.0261567i | \(-0.00832690\pi\) |
−0.0261567 | + | 0.999658i | \(0.508327\pi\) | |||||||
\(942\) | 7.48063 | − | 4.31894i | 0.243732 | − | 0.140719i | ||||
\(943\) | −4.75177 | + | 2.74343i | −0.154739 | + | 0.0893385i | ||||
\(944\) | 10.2508 | + | 10.2508i | 0.333637 | + | 0.333637i | ||||
\(945\) | −2.21575 | − | 3.65108i | −0.0720782 | − | 0.118770i | ||||
\(946\) | −6.55891 | − | 3.78679i | −0.213249 | − | 0.123119i | ||||
\(947\) | −9.30662 | + | 16.1195i | −0.302424 | + | 0.523815i | −0.976685 | − | 0.214679i | \(-0.931129\pi\) |
0.674260 | + | 0.738494i | \(0.264463\pi\) | |||||||
\(948\) | −3.61627 | − | 3.61627i | −0.117451 | − | 0.117451i | ||||
\(949\) | 5.92053 | − | 5.01888i | 0.192189 | − | 0.162920i | ||||
\(950\) | 12.1003 | − | 13.2075i | 0.392587 | − | 0.428507i | ||||
\(951\) | −31.8622 | + | 8.53746i | −1.03320 | + | 0.276846i | ||||
\(952\) | 1.14066 | − | 0.305640i | 0.0369691 | − | 0.00990585i | ||||
\(953\) | 10.5690 | − | 39.4440i | 0.342363 | − | 1.27772i | −0.553300 | − | 0.832982i | \(-0.686632\pi\) |
0.895663 | − | 0.444733i | \(-0.146702\pi\) | |||||||
\(954\) | 1.54550 | − | 1.54550i | 0.0500373 | − | 0.0500373i | ||||
\(955\) | 53.3031 | + | 13.0408i | 1.72485 | + | 0.421990i | ||||
\(956\) | 5.33162 | + | 1.42860i | 0.172437 | + | 0.0462044i | ||||
\(957\) | −7.35716 | −0.237823 | ||||||||
\(958\) | 4.71886 | + | 1.26441i | 0.152459 | + | 0.0408514i | ||||
\(959\) | 7.87580 | − | 13.6413i | 0.254323 | − | 0.440500i | ||||
\(960\) | −1.96047 | − | 1.07544i | −0.0632738 | − | 0.0347097i | ||||
\(961\) | − | 30.0427i | − | 0.969120i | ||||||
\(962\) | 9.69294 | + | 3.47282i | 0.312513 | + | 0.111968i | ||||
\(963\) | 6.74633 | − | 6.74633i | 0.217397 | − | 0.217397i | ||||
\(964\) | −2.88348 | − | 10.7613i | −0.0928707 | − | 0.346598i | ||||
\(965\) | 40.6151 | − | 11.8401i | 1.30745 | − | 0.381146i | ||||
\(966\) | −1.11901 | + | 0.646058i | −0.0360034 | + | 0.0207866i | ||||
\(967\) | 57.3191i | 1.84326i | 0.388073 | + | 0.921629i | \(0.373141\pi\) | ||||
−0.388073 | + | 0.921629i | \(0.626859\pi\) | |||||||
\(968\) | 3.13703 | + | 5.43349i | 0.100828 | + | 0.174639i | ||||
\(969\) | −0.573281 | + | 2.13952i | −0.0184164 | + | 0.0687311i | ||||
\(970\) | −28.3355 | + | 29.6021i | −0.909797 | + | 0.950467i | ||||
\(971\) | −22.9605 | − | 39.7687i | −0.736836 | − | 1.27624i | −0.953913 | − | 0.300083i | \(-0.902986\pi\) |
0.217077 | − | 0.976155i | \(-0.430348\pi\) | |||||||
\(972\) | −0.258819 | − | 0.965926i | −0.00830162 | − | 0.0309821i | ||||
\(973\) | 24.2649 | + | 14.0093i | 0.777897 | + | 0.449119i | ||||
\(974\) | 19.4868 | 0.624397 | ||||||||
\(975\) | −15.2538 | − | 9.60840i | −0.488513 | − | 0.307715i | ||||
\(976\) | 5.71490 | 0.182930 | ||||||||
\(977\) | 50.6747 | + | 29.2570i | 1.62123 | + | 0.936015i | 0.986593 | + | 0.163201i | \(0.0521820\pi\) |
0.634633 | + | 0.772814i | \(0.281151\pi\) | |||||||
\(978\) | 2.71829 | + | 10.1448i | 0.0869214 | + | 0.324395i | ||||
\(979\) | 0.905461 | + | 1.56831i | 0.0289387 | + | 0.0501232i | ||||
\(980\) | −5.18289 | + | 5.41458i | −0.165561 | + | 0.172962i | ||||
\(981\) | −3.61713 | + | 13.4993i | −0.115486 | + | 0.431000i | ||||
\(982\) | 13.6057 | + | 23.5658i | 0.434175 | + | 0.752014i | ||||
\(983\) | 17.6084i | 0.561621i | 0.959763 | + | 0.280811i | \(0.0906033\pi\) | ||||
−0.959763 | + | 0.280811i | \(0.909397\pi\) | |||||||
\(984\) | 7.02393 | − | 4.05527i | 0.223915 | − | 0.129277i | ||||
\(985\) | −46.3150 | + | 13.5017i | −1.47572 | + | 0.430201i | ||||
\(986\) | 0.541564 | + | 2.02114i | 0.0172469 | + | 0.0643663i | ||||
\(987\) | −14.6544 | + | 14.6544i | −0.466454 | + | 0.466454i | ||||
\(988\) | −7.35547 | + | 10.6180i | −0.234009 | + | 0.337803i | ||||
\(989\) | − | 2.35685i | − | 0.0749434i | ||||||
\(990\) | 4.26190 | + | 2.33792i | 0.135452 | + | 0.0743041i | ||||
\(991\) | −5.36717 | + | 9.29621i | −0.170494 | + | 0.295304i | −0.938593 | − | 0.345027i | \(-0.887870\pi\) |
0.768099 | + | 0.640331i | \(0.221203\pi\) | |||||||
\(992\) | −0.945063 | − | 0.253229i | −0.0300058 | − | 0.00804002i | ||||
\(993\) | 1.77824 | 0.0564309 | ||||||||
\(994\) | −12.6918 | − | 3.40077i | −0.402561 | − | 0.107866i | ||||
\(995\) | 50.2411 | + | 12.2917i | 1.59275 | + | 0.389672i | ||||
\(996\) | −2.71714 | + | 2.71714i | −0.0860957 | + | 0.0860957i | ||||
\(997\) | −3.30451 | + | 12.3326i | −0.104655 | + | 0.390577i | −0.998306 | − | 0.0581856i | \(-0.981468\pi\) |
0.893651 | + | 0.448763i | \(0.148135\pi\) | |||||||
\(998\) | −15.2695 | + | 4.09145i | −0.483348 | + | 0.129513i | ||||
\(999\) | 2.75837 | − | 0.739104i | 0.0872711 | − | 0.0233842i |
(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 | 390.2.bd.b.7.1 | ✓ | 16 | |
5.3 | odd | 4 | 390.2.bn.b.163.4 | yes | 16 | ||
13.2 | odd | 12 | 390.2.bn.b.67.4 | yes | 16 | ||
65.28 | even | 12 | inner | 390.2.bd.b.223.1 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
390.2.bd.b.7.1 | ✓ | 16 | 1.1 | even | 1 | trivial | |
390.2.bd.b.223.1 | yes | 16 | 65.28 | even | 12 | inner | |
390.2.bn.b.67.4 | yes | 16 | 13.2 | odd | 12 | ||
390.2.bn.b.163.4 | yes | 16 | 5.3 | odd | 4 |