Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [390,2,Mod(67,390)]
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, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("390.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 390.bn (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 | 67.4 | ||
Root | \(-0.709944 + 0.925217i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 390.67 |
Dual form | 390.2.bn.b.163.4 |
$q$-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 \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).
\(n\) | \(131\) | \(157\) | \(301\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | 0.965926 | + | 0.258819i | 0.557678 | + | 0.149429i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 1.61532 | + | 1.54620i | 0.722393 | + | 0.691482i | ||||
\(6\) | 0.258819 | + | 0.965926i | 0.105662 | + | 0.394338i | ||||
\(7\) | 1.65408 | + | 0.954985i | 0.625185 | + | 0.360951i | 0.778885 | − | 0.627167i | \(-0.215786\pi\) |
−0.153700 | + | 0.988118i | \(0.549119\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0.866025 | + | 0.500000i | 0.288675 | + | 0.166667i | ||||
\(10\) | −0.531389 | + | 2.17201i | −0.168040 | + | 0.686850i | ||||
\(11\) | 0.562653 | − | 2.09985i | 0.169646 | − | 0.633128i | −0.827756 | − | 0.561089i | \(-0.810383\pi\) |
0.997402 | − | 0.0720394i | \(-0.0229507\pi\) | |||||||
\(12\) | −0.707107 | + | 0.707107i | −0.204124 | + | 0.204124i | ||||
\(13\) | −2.75032 | − | 2.33147i | −0.762801 | − | 0.646633i | ||||
\(14\) | 1.90997i | 0.510461i | ||||||||
\(15\) | 1.16009 | + | 1.91159i | 0.299535 | + | 0.493571i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −0.160023 | − | 0.597215i | −0.0388114 | − | 0.144846i | 0.943801 | − | 0.330514i | \(-0.107222\pi\) |
−0.982613 | + | 0.185668i | \(0.940555\pi\) | |||||||
\(18\) | 1.00000i | 0.235702i | ||||||||
\(19\) | −3.46041 | + | 0.927215i | −0.793874 | + | 0.212718i | −0.632892 | − | 0.774240i | \(-0.718132\pi\) |
−0.160981 | + | 0.986957i | \(0.551466\pi\) | |||||||
\(20\) | −2.14671 | + | 0.625808i | −0.480019 | + | 0.139935i | ||||
\(21\) | 1.35055 | + | 1.35055i | 0.294715 | + | 0.294715i | ||||
\(22\) | 2.09985 | − | 0.562653i | 0.447689 | − | 0.119958i | ||||
\(23\) | −0.175094 | + | 0.653459i | −0.0365096 | + | 0.136256i | −0.981775 | − | 0.190047i | \(-0.939136\pi\) |
0.945265 | + | 0.326302i | \(0.105803\pi\) | |||||||
\(24\) | −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 | ||||
\(28\) | −1.65408 | + | 0.954985i | −0.312592 | + | 0.180475i | ||||
\(29\) | 2.93087 | − | 1.69214i | 0.544249 | − | 0.314222i | −0.202550 | − | 0.979272i | \(-0.564923\pi\) |
0.746799 | + | 0.665050i | \(0.231590\pi\) | |||||||
\(30\) | −1.07544 | + | 1.96047i | −0.196348 | + | 0.357931i | ||||
\(31\) | 0.691834 | − | 0.691834i | 0.124257 | − | 0.124257i | −0.642244 | − | 0.766501i | \(-0.721996\pi\) |
0.766501 | + | 0.642244i | \(0.221996\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 1.08696 | − | 1.88267i | 0.189216 | − | 0.327731i | ||||
\(34\) | 0.437192 | − | 0.437192i | 0.0749778 | − | 0.0749778i | ||||
\(35\) | 1.19528 | + | 4.10015i | 0.202038 | + | 0.693052i | ||||
\(36\) | −0.866025 | + | 0.500000i | −0.144338 | + | 0.0833333i | ||||
\(37\) | −2.47309 | + | 1.42784i | −0.406573 | + | 0.234735i | −0.689316 | − | 0.724460i | \(-0.742089\pi\) |
0.282743 | + | 0.959196i | \(0.408756\pi\) | |||||||
\(38\) | −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 | 0.812043 | − | 0.583598i | \(-0.198356\pi\) |
0.411450 | + | 0.911432i | \(0.365022\pi\) | |||||||
\(42\) | −0.494337 | + | 1.84489i | −0.0762778 | + | 0.284673i | ||||
\(43\) | −3.36512 | + | 0.901681i | −0.513176 | + | 0.137505i | −0.506108 | − | 0.862470i | \(-0.668916\pi\) |
−0.00706771 | + | 0.999975i | \(0.502250\pi\) | |||||||
\(44\) | 1.53720 | + | 1.53720i | 0.231741 | + | 0.231741i | ||||
\(45\) | 0.625808 | + | 2.14671i | 0.0932900 | + | 0.320013i | ||||
\(46\) | −0.653459 | + | 0.175094i | −0.0963473 | + | 0.0258162i | ||||
\(47\) | − | 10.8506i | − | 1.58273i | −0.611344 | − | 0.791365i | \(-0.709371\pi\) | ||
0.611344 | − | 0.791365i | \(-0.290629\pi\) | |||||||
\(48\) | −0.258819 | − | 0.965926i | −0.0373573 | − | 0.139419i | ||||
\(49\) | −1.67601 | − | 2.90293i | −0.239429 | − | 0.414704i | ||||
\(50\) | −4.21673 | + | 2.68686i | −0.596335 | + | 0.379979i | ||||
\(51\) | − | 0.618283i | − | 0.0865769i | ||||||
\(52\) | 3.39427 | − | 1.21611i | 0.470701 | − | 0.168644i | ||||
\(53\) | −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 | ||||
\(55\) | 4.15565 | − | 2.52196i | 0.560348 | − | 0.340060i | ||||
\(56\) | −1.65408 | − | 0.954985i | −0.221036 | − | 0.127615i | ||||
\(57\) | −3.58249 | −0.474512 | ||||||||
\(58\) | 2.93087 | + | 1.69214i | 0.384842 | + | 0.222189i | ||||
\(59\) | −3.75207 | − | 14.0029i | −0.488478 | − | 1.82302i | −0.563861 | − | 0.825870i | \(-0.690685\pi\) |
0.0753830 | − | 0.997155i | \(-0.475982\pi\) | |||||||
\(60\) | −2.23553 | + | 0.0488750i | −0.288606 | + | 0.00630973i | ||||
\(61\) | −2.85745 | + | 4.94925i | −0.365859 | + | 0.633687i | −0.988914 | − | 0.148492i | \(-0.952558\pi\) |
0.623055 | + | 0.782178i | \(0.285891\pi\) | |||||||
\(62\) | 0.945063 | + | 0.253229i | 0.120023 | + | 0.0321601i | ||||
\(63\) | 0.954985 | + | 1.65408i | 0.120317 | + | 0.208395i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −0.837729 | − | 8.01862i | −0.103907 | − | 0.994587i | ||||
\(66\) | 2.17392 | 0.267591 | ||||||||
\(67\) | 2.92806 | + | 5.07155i | 0.357719 | + | 0.619588i | 0.987579 | − | 0.157120i | \(-0.0502211\pi\) |
−0.629860 | + | 0.776709i | \(0.716888\pi\) | |||||||
\(68\) | 0.597215 | + | 0.160023i | 0.0724230 | + | 0.0194057i | ||||
\(69\) | −0.338255 | + | 0.585876i | −0.0407212 | + | 0.0705311i | ||||
\(70\) | −2.95320 | + | 3.08522i | −0.352975 | + | 0.368754i | ||||
\(71\) | −1.78054 | − | 6.64505i | −0.211311 | − | 0.788622i | −0.987433 | − | 0.158039i | \(-0.949483\pi\) |
0.776122 | − | 0.630583i | \(-0.217184\pi\) | |||||||
\(72\) | −0.866025 | − | 0.500000i | −0.102062 | − | 0.0589256i | ||||
\(73\) | 2.15267 | 0.251951 | 0.125976 | − | 0.992033i | \(-0.459794\pi\) | ||||
0.125976 | + | 0.992033i | \(0.459794\pi\) | |||||||
\(74\) | −2.47309 | − | 1.42784i | −0.287491 | − | 0.165983i | ||||
\(75\) | −1.08178 | + | 4.88157i | −0.124913 | + | 0.563675i | ||||
\(76\) | 0.927215 | − | 3.46041i | 0.106359 | − | 0.396937i | ||||
\(77\) | 2.93600 | − | 2.93600i | 0.334588 | − | 0.334588i | ||||
\(78\) | 1.54019 | − | 3.26003i | 0.174392 | − | 0.369126i | ||||
\(79\) | − | 5.11418i | − | 0.575390i | −0.957722 | − | 0.287695i | \(-0.907111\pi\) | ||
0.957722 | − | 0.287695i | \(-0.0928890\pi\) | |||||||
\(80\) | 0.531389 | − | 2.17201i | 0.0594111 | − | 0.242838i | ||||
\(81\) | 0.500000 | + | 0.866025i | 0.0555556 | + | 0.0962250i | ||||
\(82\) | 2.09916 | + | 7.83418i | 0.231814 | + | 0.865140i | ||||
\(83\) | 3.84261i | 0.421781i | 0.977510 | + | 0.210891i | \(0.0676364\pi\) | ||||
−0.977510 | + | 0.210891i | \(0.932364\pi\) | |||||||
\(84\) | −1.84489 | + | 0.494337i | −0.201294 | + | 0.0539366i | ||||
\(85\) | 0.664926 | − | 1.21212i | 0.0721214 | − | 0.131473i | ||||
\(86\) | −2.46344 | − | 2.46344i | −0.265639 | − | 0.265639i | ||||
\(87\) | 3.26896 | − | 0.875916i | 0.350470 | − | 0.0939080i | ||||
\(88\) | −0.562653 | + | 2.09985i | −0.0599790 | + | 0.223845i | ||||
\(89\) | −0.804636 | − | 0.215602i | −0.0852912 | − | 0.0228537i | 0.215921 | − | 0.976411i | \(-0.430725\pi\) |
−0.301212 | + | 0.953557i | \(0.597391\pi\) | |||||||
\(90\) | −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 | ||||
\(93\) | 0.847320 | − | 0.489200i | 0.0878630 | − | 0.0507277i | ||||
\(94\) | 9.39693 | − | 5.42532i | 0.969220 | − | 0.559579i | ||||
\(95\) | −7.02334 | − | 3.85275i | −0.720580 | − | 0.395284i | ||||
\(96\) | 0.707107 | − | 0.707107i | 0.0721688 | − | 0.0721688i | ||||
\(97\) | −9.16293 | + | 15.8707i | −0.930354 | + | 1.61142i | −0.147639 | + | 0.989041i | \(0.547167\pi\) |
−0.782715 | + | 0.622380i | \(0.786166\pi\) | |||||||
\(98\) | 1.67601 | − | 2.90293i | 0.169302 | − | 0.293240i | ||||
\(99\) | 1.53720 | − | 1.53720i | 0.154494 | − | 0.154494i | ||||
\(100\) | −4.43525 | − | 2.30836i | −0.443525 | − | 0.230836i | ||||
\(101\) | 14.6508 | − | 8.45864i | 1.45781 | − | 0.841666i | 0.458906 | − | 0.888485i | \(-0.348242\pi\) |
0.998903 | + | 0.0468187i | \(0.0149083\pi\) | |||||||
\(102\) | 0.535449 | − | 0.309141i | 0.0530173 | − | 0.0306096i | ||||
\(103\) | 3.60087 | + | 3.60087i | 0.354804 | + | 0.354804i | 0.861893 | − | 0.507090i | \(-0.169279\pi\) |
−0.507090 | + | 0.861893i | \(0.669279\pi\) | |||||||
\(104\) | 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 | ||||
\(107\) | 2.46933 | − | 9.21566i | 0.238719 | − | 0.890911i | −0.737718 | − | 0.675109i | \(-0.764097\pi\) |
0.976437 | − | 0.215802i | \(-0.0692367\pi\) | |||||||
\(108\) | −0.965926 | + | 0.258819i | −0.0929463 | + | 0.0249049i | ||||
\(109\) | −9.88219 | − | 9.88219i | −0.946542 | − | 0.946542i | 0.0520997 | − | 0.998642i | \(-0.483409\pi\) |
−0.998642 | + | 0.0520997i | \(0.983409\pi\) | |||||||
\(110\) | 4.26190 | + | 2.33792i | 0.406357 | + | 0.222912i | ||||
\(111\) | −2.75837 | + | 0.739104i | −0.261813 | + | 0.0701526i | ||||
\(112\) | − | 1.90997i | − | 0.180475i | ||||||
\(113\) | 3.48791 | + | 13.0170i | 0.328115 | + | 1.22454i | 0.911144 | + | 0.412089i | \(0.135201\pi\) |
−0.583029 | + | 0.812451i | \(0.698133\pi\) | |||||||
\(114\) | −1.79124 | − | 3.10252i | −0.167765 | − | 0.290578i | ||||
\(115\) | −1.29321 | + | 0.784816i | −0.120593 | + | 0.0731845i | ||||
\(116\) | 3.38428i | 0.314222i | ||||||||
\(117\) | −1.21611 | − | 3.39427i | −0.112430 | − | 0.313800i | ||||
\(118\) | 10.2508 | − | 10.2508i | 0.943667 | − | 0.943667i | ||||
\(119\) | 0.305640 | − | 1.14066i | 0.0280180 | − | 0.104564i | ||||
\(120\) | −1.16009 | − | 1.91159i | −0.105902 | − | 0.174504i | ||||
\(121\) | 5.43349 | + | 3.13703i | 0.493954 | + | 0.285184i | ||||
\(122\) | −5.71490 | −0.517403 | ||||||||
\(123\) | 7.02393 | + | 4.05527i | 0.633327 | + | 0.365651i | ||||
\(124\) | 0.253229 | + | 0.945063i | 0.0227406 | + | 0.0848691i | ||||
\(125\) | −7.37063 | + | 8.40677i | −0.659250 | + | 0.751924i | ||||
\(126\) | −0.954985 | + | 1.65408i | −0.0850769 | + | 0.147357i | ||||
\(127\) | 13.2534 | + | 3.55123i | 1.17605 | + | 0.315121i | 0.793357 | − | 0.608756i | \(-0.208331\pi\) |
0.382690 | + | 0.923877i | \(0.374998\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | −3.48383 | −0.306734 | ||||||||
\(130\) | 6.52546 | − | 4.73480i | 0.572321 | − | 0.415270i | ||||
\(131\) | 16.6377 | 1.45364 | 0.726820 | − | 0.686828i | \(-0.240997\pi\) | ||||
0.726820 | + | 0.686828i | \(0.240997\pi\) | |||||||
\(132\) | 1.08696 | + | 1.88267i | 0.0946079 | + | 0.163866i | ||||
\(133\) | −6.60929 | − | 1.77095i | −0.573098 | − | 0.153561i | ||||
\(134\) | −2.92806 | + | 5.07155i | −0.252946 | + | 0.438115i | ||||
\(135\) | 0.0488750 | + | 2.23553i | 0.00420649 | + | 0.192404i | ||||
\(136\) | 0.160023 | + | 0.597215i | 0.0137219 | + | 0.0512108i | ||||
\(137\) | −7.14214 | − | 4.12352i | −0.610195 | − | 0.352296i | 0.162847 | − | 0.986651i | \(-0.447932\pi\) |
−0.773042 | + | 0.634355i | \(0.781266\pi\) | |||||||
\(138\) | −0.676511 | −0.0575884 | ||||||||
\(139\) | −12.7043 | − | 7.33484i | −1.07757 | − | 0.622133i | −0.147328 | − | 0.989088i | \(-0.547067\pi\) |
−0.930239 | + | 0.366954i | \(0.880401\pi\) | |||||||
\(140\) | −4.14847 | − | 1.01494i | −0.350610 | − | 0.0857779i | ||||
\(141\) | 2.80835 | − | 10.4809i | 0.236506 | − | 0.882653i | ||||
\(142\) | 4.86451 | − | 4.86451i | 0.408221 | − | 0.408221i | ||||
\(143\) | −6.44321 | + | 4.46345i | −0.538808 | + | 0.373252i | ||||
\(144\) | − | 1.00000i | − | 0.0833333i | ||||||
\(145\) | 7.35069 | + | 1.79837i | 0.610441 | + | 0.149346i | ||||
\(146\) | 1.07634 | + | 1.86427i | 0.0890782 | + | 0.154288i | ||||
\(147\) | −0.867565 | − | 3.23780i | −0.0715555 | − | 0.267049i | ||||
\(148\) | − | 2.85568i | − | 0.234735i | ||||||
\(149\) | −12.3571 | + | 3.31108i | −1.01233 | + | 0.271254i | −0.726605 | − | 0.687056i | \(-0.758903\pi\) |
−0.285730 | + | 0.958310i | \(0.592236\pi\) | |||||||
\(150\) | −4.76846 | + | 1.50394i | −0.389343 | + | 0.122796i | ||||
\(151\) | −14.5027 | − | 14.5027i | −1.18021 | − | 1.18021i | −0.979690 | − | 0.200521i | \(-0.935737\pi\) |
−0.200521 | − | 0.979690i | \(-0.564263\pi\) | |||||||
\(152\) | 3.46041 | − | 0.927215i | 0.280677 | − | 0.0752071i | ||||
\(153\) | 0.160023 | − | 0.597215i | 0.0129371 | − | 0.0482820i | ||||
\(154\) | 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 | \(0.637984\pi\) | |||||||
\(158\) | 4.42901 | − | 2.55709i | 0.352353 | − | 0.203431i | ||||
\(159\) | −1.89284 | + | 1.09283i | −0.150112 | + | 0.0866672i | ||||
\(160\) | 2.14671 | − | 0.625808i | 0.169712 | − | 0.0494745i | ||||
\(161\) | −0.913664 | + | 0.913664i | −0.0720068 | + | 0.0720068i | ||||
\(162\) | −0.500000 | + | 0.866025i | −0.0392837 | + | 0.0680414i | ||||
\(163\) | −5.25134 | + | 9.09558i | −0.411316 | + | 0.712421i | −0.995034 | − | 0.0995359i | \(-0.968264\pi\) |
0.583718 | + | 0.811957i | \(0.301598\pi\) | |||||||
\(164\) | −5.73502 | + | 5.73502i | −0.447830 | + | 0.447830i | ||||
\(165\) | 4.66678 | − | 1.36046i | 0.363309 | − | 0.105912i | ||||
\(166\) | −3.32780 | + | 1.92131i | −0.258287 | + | 0.149122i | ||||
\(167\) | −6.02056 | + | 3.47597i | −0.465885 | + | 0.268979i | −0.714516 | − | 0.699620i | \(-0.753353\pi\) |
0.248630 | + | 0.968598i | \(0.420020\pi\) | |||||||
\(168\) | −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 | ||||
\(172\) | 0.901681 | − | 3.36512i | 0.0687526 | − | 0.256588i | ||||
\(173\) | −12.7288 | + | 3.41066i | −0.967750 | + | 0.259308i | −0.707877 | − | 0.706335i | \(-0.750347\pi\) |
−0.259872 | + | 0.965643i | \(0.583680\pi\) | |||||||
\(174\) | 2.39305 | + | 2.39305i | 0.181416 | + | 0.181416i | ||||
\(175\) | −4.40891 | + | 8.47120i | −0.333282 | + | 0.640363i | ||||
\(176\) | −2.09985 | + | 0.562653i | −0.158282 | + | 0.0424115i | ||||
\(177\) | − | 14.4969i | − | 1.08965i | ||||||
\(178\) | −0.215602 | − | 0.804636i | −0.0161600 | − | 0.0603100i | ||||
\(179\) | 8.17918 | + | 14.1668i | 0.611341 | + | 1.05887i | 0.991015 | + | 0.133753i | \(0.0427028\pi\) |
−0.379674 | + | 0.925120i | \(0.623964\pi\) | |||||||
\(180\) | −2.17201 | − | 0.531389i | −0.161892 | − | 0.0396074i | ||||
\(181\) | 10.7578i | 0.799622i | 0.916598 | + | 0.399811i | \(0.130924\pi\) | ||||
−0.916598 | + | 0.399811i | \(0.869076\pi\) | |||||||
\(182\) | 4.45304 | − | 5.25303i | 0.330081 | − | 0.389380i | ||||
\(183\) | −4.04105 | + | 4.04105i | −0.298723 | + | 0.298723i | ||||
\(184\) | 0.175094 | − | 0.653459i | 0.0129081 | − | 0.0481737i | ||||
\(185\) | −6.20256 | − | 1.51748i | −0.456021 | − | 0.111567i | ||||
\(186\) | 0.847320 | + | 0.489200i | 0.0621285 | + | 0.0358699i | ||||
\(187\) | −1.34410 | −0.0982903 | ||||||||
\(188\) | 9.39693 | + | 5.42532i | 0.685342 | + | 0.395682i | ||||
\(189\) | 0.494337 | + | 1.84489i | 0.0359577 | + | 0.134196i | ||||
\(190\) | −0.175094 | − | 8.00877i | −0.0127026 | − | 0.581017i | ||||
\(191\) | −12.2705 | + | 21.2531i | −0.887859 | + | 1.53782i | −0.0454580 | + | 0.998966i | \(0.514475\pi\) |
−0.842401 | + | 0.538851i | \(0.818859\pi\) | |||||||
\(192\) | 0.965926 | + | 0.258819i | 0.0697097 | + | 0.0186787i | ||||
\(193\) | 9.45984 | + | 16.3849i | 0.680934 | + | 1.17941i | 0.974696 | + | 0.223534i | \(0.0717595\pi\) |
−0.293762 | + | 0.955879i | \(0.594907\pi\) | |||||||
\(194\) | −18.3259 | −1.31572 | ||||||||
\(195\) | 1.26619 | − | 7.96221i | 0.0906735 | − | 0.570186i | ||||
\(196\) | 3.35201 | 0.239429 | ||||||||
\(197\) | 10.7874 | + | 18.6844i | 0.768573 | + | 1.33121i | 0.938337 | + | 0.345723i | \(0.112366\pi\) |
−0.169763 | + | 0.985485i | \(0.554300\pi\) | |||||||
\(198\) | 2.09985 | + | 0.562653i | 0.149230 | + | 0.0399860i | ||||
\(199\) | 11.5656 | − | 20.0322i | 0.819863 | − | 1.42004i | −0.0859199 | − | 0.996302i | \(-0.527383\pi\) |
0.905783 | − | 0.423742i | \(-0.139284\pi\) | |||||||
\(200\) | −0.218523 | − | 4.99522i | −0.0154519 | − | 0.353216i | ||||
\(201\) | 1.51568 | + | 5.65658i | 0.106907 | + | 0.398984i | ||||
\(202\) | 14.6508 | + | 8.45864i | 1.03083 | + | 0.595148i | ||||
\(203\) | 6.46387 | 0.453675 | ||||||||
\(204\) | 0.535449 | + | 0.309141i | 0.0374889 | + | 0.0216442i | ||||
\(205\) | 9.40899 | + | 15.5040i | 0.657152 | + | 1.08285i | ||||
\(206\) | −1.31801 | + | 4.91887i | −0.0918300 | + | 0.342714i | ||||
\(207\) | −0.478365 | + | 0.478365i | −0.0332487 | + | 0.0332487i | ||||
\(208\) | −0.643951 | + | 3.54758i | −0.0446500 | + | 0.245980i | ||||
\(209\) | 7.78805i | 0.538711i | ||||||||
\(210\) | −3.65108 | + | 2.21575i | −0.251949 | + | 0.152901i | ||||
\(211\) | −12.8509 | − | 22.2584i | −0.884692 | − | 1.53233i | −0.846067 | − | 0.533077i | \(-0.821036\pi\) |
−0.0386248 | − | 0.999254i | \(-0.512298\pi\) | |||||||
\(212\) | −0.565691 | − | 2.11119i | −0.0388518 | − | 0.144997i | ||||
\(213\) | − | 6.87946i | − | 0.471373i | ||||||
\(214\) | 9.21566 | − | 2.46933i | 0.629969 | − | 0.168800i | ||||
\(215\) | −6.82993 | − | 3.74665i | −0.465797 | − | 0.255519i | ||||
\(216\) | −0.707107 | − | 0.707107i | −0.0481125 | − | 0.0481125i | ||||
\(217\) | 1.80504 | − | 0.483659i | 0.122534 | − | 0.0328329i | ||||
\(218\) | 3.61713 | − | 13.4993i | 0.244983 | − | 0.914290i | ||||
\(219\) | 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 | ||||
\(223\) | −23.8621 | + | 13.7768i | −1.59793 | + | 0.922563i | −0.606040 | + | 0.795434i | \(0.707243\pi\) |
−0.991886 | + | 0.127129i | \(0.959424\pi\) | |||||||
\(224\) | 1.65408 | − | 0.954985i | 0.110518 | − | 0.0638076i | ||||
\(225\) | −2.30836 | + | 4.43525i | −0.153891 | + | 0.295683i | ||||
\(226\) | −9.52913 | + | 9.52913i | −0.633869 | + | 0.633869i | ||||
\(227\) | −3.42247 | + | 5.92789i | −0.227157 | + | 0.393448i | −0.956964 | − | 0.290205i | \(-0.906276\pi\) |
0.729807 | + | 0.683653i | \(0.239610\pi\) | |||||||
\(228\) | 1.79124 | − | 3.10252i | 0.118628 | − | 0.205470i | ||||
\(229\) | −13.6008 | + | 13.6008i | −0.898766 | + | 0.898766i | −0.995327 | − | 0.0965608i | \(-0.969216\pi\) |
0.0965608 | + | 0.995327i | \(0.469216\pi\) | |||||||
\(230\) | −1.32628 | − | 0.727547i | −0.0874521 | − | 0.0479730i | ||||
\(231\) | 3.59585 | − | 2.07606i | 0.236590 | − | 0.136595i | ||||
\(232\) | −2.93087 | + | 1.69214i | −0.192421 | + | 0.111094i | ||||
\(233\) | 6.74979 | + | 6.74979i | 0.442194 | + | 0.442194i | 0.892749 | − | 0.450555i | \(-0.148774\pi\) |
−0.450555 | + | 0.892749i | \(0.648774\pi\) | |||||||
\(234\) | 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 | ||||
\(237\) | 1.32365 | − | 4.93992i | 0.0859802 | − | 0.320882i | ||||
\(238\) | 1.14066 | − | 0.305640i | 0.0739383 | − | 0.0198117i | ||||
\(239\) | −3.90302 | − | 3.90302i | −0.252465 | − | 0.252465i | 0.569515 | − | 0.821981i | \(-0.307131\pi\) |
−0.821981 | + | 0.569515i | \(0.807131\pi\) | |||||||
\(240\) | 1.07544 | − | 1.96047i | 0.0694193 | − | 0.126548i | ||||
\(241\) | −10.7613 | + | 2.88348i | −0.693196 | + | 0.185741i | −0.588181 | − | 0.808729i | \(-0.700156\pi\) |
−0.105015 | + | 0.994471i | \(0.533489\pi\) | |||||||
\(242\) | 6.27406i | 0.403312i | ||||||||
\(243\) | 0.258819 | + | 0.965926i | 0.0166032 | + | 0.0619642i | ||||
\(244\) | −2.85745 | − | 4.94925i | −0.182930 | − | 0.316843i | ||||
\(245\) | 1.78122 | − | 7.28060i | 0.113798 | − | 0.465141i | ||||
\(246\) | 8.11054i | 0.517109i | ||||||||
\(247\) | 11.6790 | + | 5.51771i | 0.743118 | + | 0.351083i | ||||
\(248\) | −0.691834 | + | 0.691834i | −0.0439315 | + | 0.0439315i | ||||
\(249\) | −0.994541 | + | 3.71168i | −0.0630265 | + | 0.235218i | ||||
\(250\) | −10.9658 | − | 2.17977i | −0.693538 | − | 0.137861i | ||||
\(251\) | 11.9048 | + | 6.87325i | 0.751426 | + | 0.433836i | 0.826209 | − | 0.563364i | \(-0.190493\pi\) |
−0.0747830 | + | 0.997200i | \(0.523826\pi\) | |||||||
\(252\) | −1.90997 | −0.120317 | ||||||||
\(253\) | 1.27365 | + | 0.735341i | 0.0800736 | + | 0.0462305i | ||||
\(254\) | 3.55123 | + | 13.2534i | 0.222824 | + | 0.831591i | ||||
\(255\) | 0.955990 | − | 0.998725i | 0.0598664 | − | 0.0625426i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 0.126617 | + | 0.0339269i | 0.00789815 | + | 0.00211630i | 0.262766 | − | 0.964860i | \(-0.415365\pi\) |
−0.254868 | + | 0.966976i | \(0.582032\pi\) | |||||||
\(258\) | −1.74191 | − | 3.01708i | −0.108447 | − | 0.187835i | ||||
\(259\) | −5.45426 | −0.338911 | ||||||||
\(260\) | 7.36319 | + | 3.28381i | 0.456646 | + | 0.203653i | ||||
\(261\) | 3.38428 | 0.209482 | ||||||||
\(262\) | 8.31884 | + | 14.4086i | 0.513939 | + | 0.890169i | ||||
\(263\) | −16.2917 | − | 4.36534i | −1.00459 | − | 0.269178i | −0.281221 | − | 0.959643i | \(-0.590739\pi\) |
−0.723366 | + | 0.690465i | \(0.757406\pi\) | |||||||
\(264\) | −1.08696 | + | 1.88267i | −0.0668979 | + | 0.115871i | ||||
\(265\) | −4.88612 | + | 0.106824i | −0.300152 | + | 0.00656216i | ||||
\(266\) | −1.77095 | − | 6.60929i | −0.108584 | − | 0.405242i | ||||
\(267\) | −0.721417 | − | 0.416510i | −0.0441500 | − | 0.0254900i | ||||
\(268\) | −5.85612 | −0.357719 | ||||||||
\(269\) | 4.74801 | + | 2.74127i | 0.289491 | + | 0.167138i | 0.637712 | − | 0.770275i | \(-0.279881\pi\) |
−0.348221 | + | 0.937412i | \(0.613214\pi\) | |||||||
\(270\) | −1.91159 | + | 1.16009i | −0.116336 | + | 0.0706011i | ||||
\(271\) | 1.56093 | − | 5.82549i | 0.0948200 | − | 0.353873i | −0.902172 | − | 0.431376i | \(-0.858028\pi\) |
0.996992 | + | 0.0775032i | \(0.0246948\pi\) | |||||||
\(272\) | −0.437192 | + | 0.437192i | −0.0265087 | + | 0.0265087i | ||||
\(273\) | −0.565680 | − | 6.86322i | −0.0342365 | − | 0.415381i | ||||
\(274\) | − | 8.24704i | − | 0.498222i | ||||||
\(275\) | 10.6122 | + | 2.35171i | 0.639938 | + | 0.141813i | ||||
\(276\) | −0.338255 | − | 0.585876i | −0.0203606 | − | 0.0352656i | ||||
\(277\) | −3.03101 | − | 11.3119i | −0.182116 | − | 0.679666i | −0.995230 | − | 0.0975609i | \(-0.968896\pi\) |
0.813114 | − | 0.582105i | \(-0.197771\pi\) | |||||||
\(278\) | − | 14.6697i | − | 0.879830i | ||||||
\(279\) | 0.945063 | − | 0.253229i | 0.0565794 | − | 0.0151604i | ||||
\(280\) | −1.19528 | − | 4.10015i | −0.0714314 | − | 0.245031i | ||||
\(281\) | 15.6369 | + | 15.6369i | 0.932818 | + | 0.932818i | 0.997881 | − | 0.0650632i | \(-0.0207249\pi\) |
−0.0650632 | + | 0.997881i | \(0.520725\pi\) | |||||||
\(282\) | 10.4809 | − | 2.80835i | 0.624130 | − | 0.167235i | ||||
\(283\) | 2.48163 | − | 9.26157i | 0.147518 | − | 0.550543i | −0.852113 | − | 0.523358i | \(-0.824679\pi\) |
0.999630 | − | 0.0271852i | \(-0.00865438\pi\) | |||||||
\(284\) | 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 | ||||
\(288\) | 0.866025 | − | 0.500000i | 0.0510310 | − | 0.0294628i | ||||
\(289\) | 14.3914 | − | 8.30886i | 0.846551 | − | 0.488757i | ||||
\(290\) | 2.11791 | + | 7.26507i | 0.124368 | + | 0.426619i | ||||
\(291\) | −12.9583 | + | 12.9583i | −0.759631 | + | 0.759631i | ||||
\(292\) | −1.07634 | + | 1.86427i | −0.0629878 | + | 0.109098i | ||||
\(293\) | 5.68430 | − | 9.84550i | 0.332080 | − | 0.575180i | −0.650839 | − | 0.759216i | \(-0.725583\pi\) |
0.982920 | + | 0.184035i | \(0.0589161\pi\) | |||||||
\(294\) | 2.37023 | − | 2.37023i | 0.138235 | − | 0.138235i | ||||
\(295\) | 15.5905 | − | 28.4207i | 0.907716 | − | 1.65471i | ||||
\(296\) | 2.47309 | − | 1.42784i | 0.143745 | − | 0.0829915i | ||||
\(297\) | 1.88267 | − | 1.08696i | 0.109244 | − | 0.0630719i | ||||
\(298\) | −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 | ||||
\(302\) | 5.30834 | − | 19.8110i | 0.305461 | − | 1.14000i | ||||
\(303\) | 16.3408 | − | 4.37852i | 0.938757 | − | 0.251539i | ||||
\(304\) | 2.53320 | + | 2.53320i | 0.145289 | + | 0.145289i | ||||
\(305\) | −12.2682 | + | 3.57643i | −0.702477 | + | 0.204786i | ||||
\(306\) | 0.597215 | − | 0.160023i | 0.0341405 | − | 0.00914793i | ||||
\(307\) | − | 17.1833i | − | 0.980702i | −0.871525 | − | 0.490351i | \(-0.836869\pi\) | ||
0.871525 | − | 0.490351i | \(-0.163131\pi\) | |||||||
\(308\) | 1.07465 | + | 4.01065i | 0.0612339 | + | 0.228528i | ||||
\(309\) | 2.54620 | + | 4.41014i | 0.144848 | + | 0.250884i | ||||
\(310\) | 1.13504 | + | 1.87030i | 0.0644658 | + | 0.106226i | ||||
\(311\) | 16.2305i | 0.920347i | 0.887829 | + | 0.460174i | \(0.152213\pi\) | ||||
−0.887829 | + | 0.460174i | \(0.847787\pi\) | |||||||
\(312\) | 2.05318 | + | 2.96386i | 0.116238 | + | 0.167796i | ||||
\(313\) | −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 | ||||
\(315\) | −1.01494 | + | 4.14847i | −0.0571853 | + | 0.233740i | ||||
\(316\) | 4.42901 | + | 2.55709i | 0.249151 | + | 0.143848i | ||||
\(317\) | −32.9862 | −1.85269 | −0.926345 | − | 0.376676i | \(-0.877067\pi\) | ||||
−0.926345 | + | 0.376676i | \(0.877067\pi\) | |||||||
\(318\) | −1.89284 | − | 1.09283i | −0.106145 | − | 0.0612830i | ||||
\(319\) | −1.90417 | − | 7.10647i | −0.106613 | − | 0.397886i | ||||
\(320\) | 1.61532 | + | 1.54620i | 0.0902992 | + | 0.0864353i | ||||
\(321\) | 4.77038 | − | 8.26253i | 0.266256 | − | 0.461170i | ||||
\(322\) | −1.24809 | − | 0.334424i | −0.0695532 | − | 0.0186367i | ||||
\(323\) | 1.10749 | + | 1.91824i | 0.0616226 | + | 0.106734i | ||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | 11.0452 | − | 14.2479i | 0.612677 | − | 0.790333i | ||||
\(326\) | −10.5027 | −0.581689 | ||||||||
\(327\) | −6.98776 | − | 12.1032i | −0.386424 | − | 0.669306i | ||||
\(328\) | −7.83418 | − | 2.09916i | −0.432570 | − | 0.115907i | ||||
\(329\) | 10.3622 | − | 17.9479i | 0.571287 | − | 0.989498i | ||||
\(330\) | 3.51158 | + | 3.36132i | 0.193306 | + | 0.185035i | ||||
\(331\) | −0.460244 | − | 1.71765i | −0.0252973 | − | 0.0944107i | 0.952123 | − | 0.305715i | \(-0.0988955\pi\) |
−0.977420 | + | 0.211304i | \(0.932229\pi\) | |||||||
\(332\) | −3.32780 | − | 1.92131i | −0.182637 | − | 0.105445i | ||||
\(333\) | −2.85568 | −0.156490 | ||||||||
\(334\) | −6.02056 | − | 3.47597i | −0.329431 | − | 0.190197i | ||||
\(335\) | −3.11188 | + | 12.7195i | −0.170020 | + | 0.694943i | ||||
\(336\) | 0.494337 | − | 1.84489i | 0.0269683 | − | 0.100647i | ||||
\(337\) | 8.61910 | − | 8.61910i | 0.469512 | − | 0.469512i | −0.432244 | − | 0.901757i | \(-0.642278\pi\) |
0.901757 | + | 0.432244i | \(0.142278\pi\) | |||||||
\(338\) | −10.0421 | + | 8.25563i | −0.546221 | + | 0.449047i | ||||
\(339\) | 13.4762i | 0.731928i | ||||||||
\(340\) | 0.717266 | + | 1.18190i | 0.0388992 | + | 0.0640978i | ||||
\(341\) | −1.06348 | − | 1.84201i | −0.0575909 | − | 0.0997504i | ||||
\(342\) | −0.927215 | − | 3.46041i | −0.0501381 | − | 0.187118i | ||||
\(343\) | − | 19.7720i | − | 1.06759i | ||||||
\(344\) | 3.36512 | − | 0.901681i | 0.181435 | − | 0.0486154i | ||||
\(345\) | −1.45227 | + | 0.423366i | −0.0781877 | + | 0.0227933i | ||||
\(346\) | −9.31810 | − | 9.31810i | −0.500944 | − | 0.500944i | ||||
\(347\) | −17.1107 | + | 4.58480i | −0.918550 | + | 0.246125i | −0.686966 | − | 0.726690i | \(-0.741058\pi\) |
−0.231585 | + | 0.972815i | \(0.574391\pi\) | |||||||
\(348\) | −0.875916 | + | 3.26896i | −0.0469540 | + | 0.175235i | ||||
\(349\) | 16.2696 | + | 4.35943i | 0.870892 | + | 0.233355i | 0.666473 | − | 0.745529i | \(-0.267803\pi\) |
0.204419 | + | 0.978884i | \(0.434470\pi\) | |||||||
\(350\) | −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 | ||||
\(353\) | 30.1361 | − | 17.3991i | 1.60398 | − | 0.926061i | 0.613305 | − | 0.789846i | \(-0.289840\pi\) |
0.990679 | − | 0.136215i | \(-0.0434938\pi\) | |||||||
\(354\) | 12.5547 | − | 7.24844i | 0.667273 | − | 0.385250i | ||||
\(355\) | 7.39844 | − | 13.4869i | 0.392669 | − | 0.715813i | ||||
\(356\) | 0.589034 | − | 0.589034i | 0.0312188 | − | 0.0312188i | ||||
\(357\) | 0.590451 | − | 1.02269i | 0.0312500 | − | 0.0541266i | ||||
\(358\) | −8.17918 | + | 14.1668i | −0.432283 | + | 0.748736i | ||||
\(359\) | 11.3845 | − | 11.3845i | 0.600849 | − | 0.600849i | −0.339689 | − | 0.940538i | \(-0.610322\pi\) |
0.940538 | + | 0.339689i | \(0.110322\pi\) | |||||||
\(360\) | −0.625808 | − | 2.14671i | −0.0329830 | − | 0.113142i | ||||
\(361\) | −5.33974 | + | 3.08290i | −0.281039 | + | 0.162258i | ||||
\(362\) | −9.31654 | + | 5.37891i | −0.489666 | + | 0.282709i | ||||
\(363\) | 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 | ||||
\(367\) | −3.43690 | + | 12.8267i | −0.179405 | + | 0.669547i | 0.816355 | + | 0.577551i | \(0.195991\pi\) |
−0.995759 | + | 0.0919962i | \(0.970675\pi\) | |||||||
\(368\) | 0.653459 | − | 0.175094i | 0.0340639 | − | 0.00912740i | ||||
\(369\) | 5.73502 | + | 5.73502i | 0.298553 | + | 0.298553i | ||||
\(370\) | −1.78711 | − | 6.13031i | −0.0929073 | − | 0.318700i | ||||
\(371\) | −4.03231 | + | 1.08045i | −0.209347 | + | 0.0560944i | ||||
\(372\) | 0.978401i | 0.0507277i | ||||||||
\(373\) | −1.54383 | − | 5.76165i | −0.0799364 | − | 0.298327i | 0.914371 | − | 0.404878i | \(-0.132686\pi\) |
−0.994307 | + | 0.106551i | \(0.966019\pi\) | |||||||
\(374\) | −0.672050 | − | 1.16402i | −0.0347509 | − | 0.0601903i | ||||
\(375\) | −9.29532 | + | 6.21265i | −0.480008 | + | 0.320820i | ||||
\(376\) | 10.8506i | 0.559579i | ||||||||
\(377\) | −12.0060 | − | 2.17931i | −0.618341 | − | 0.112240i | ||||
\(378\) | −1.35055 | + | 1.35055i | −0.0694650 | + | 0.0694650i | ||||
\(379\) | 2.67271 | − | 9.97467i | 0.137288 | − | 0.512365i | −0.862690 | − | 0.505733i | \(-0.831222\pi\) |
0.999978 | − | 0.00663207i | \(-0.00211107\pi\) | |||||||
\(380\) | 6.84825 | − | 4.15602i | 0.351308 | − | 0.213199i | ||||
\(381\) | 11.8827 | + | 6.86045i | 0.608767 | + | 0.351472i | ||||
\(382\) | −24.5409 | −1.25562 | ||||||||
\(383\) | −3.83556 | − | 2.21446i | −0.195988 | − | 0.113154i | 0.398795 | − | 0.917040i | \(-0.369429\pi\) |
−0.594783 | + | 0.803886i | \(0.702762\pi\) | |||||||
\(384\) | 0.258819 | + | 0.965926i | 0.0132078 | + | 0.0492922i | ||||
\(385\) | 9.28223 | − | 0.202935i | 0.473066 | − | 0.0103425i | ||||
\(386\) | −9.45984 | + | 16.3849i | −0.481493 | + | 0.833971i | ||||
\(387\) | −3.36512 | − | 0.901681i | −0.171059 | − | 0.0458350i | ||||
\(388\) | −9.16293 | − | 15.8707i | −0.465177 | − | 0.805711i | ||||
\(389\) | −1.11411 | −0.0564874 | −0.0282437 | − | 0.999601i | \(-0.508991\pi\) | ||||
−0.0282437 | + | 0.999601i | \(0.508991\pi\) | |||||||
\(390\) | 7.52857 | − | 2.88455i | 0.381224 | − | 0.146065i | ||||
\(391\) | 0.418275 | 0.0211531 | ||||||||
\(392\) | 1.67601 | + | 2.90293i | 0.0846511 | + | 0.146620i | ||||
\(393\) | 16.0708 | + | 4.30615i | 0.810663 | + | 0.217216i | ||||
\(394\) | −10.7874 | + | 18.6844i | −0.543463 | + | 0.941306i | ||||
\(395\) | 7.90755 | − | 8.26105i | 0.397872 | − | 0.415658i | ||||
\(396\) | 0.562653 | + | 2.09985i | 0.0282744 | + | 0.105521i | ||||
\(397\) | −33.3374 | − | 19.2474i | −1.67316 | − | 0.965998i | −0.965854 | − | 0.259088i | \(-0.916578\pi\) |
−0.707304 | − | 0.706910i | \(-0.750089\pi\) | |||||||
\(398\) | 23.1312 | 1.15946 | ||||||||
\(399\) | −5.92573 | − | 3.42122i | −0.296657 | − | 0.171275i | ||||
\(400\) | 4.21673 | − | 2.68686i | 0.210836 | − | 0.134343i | ||||
\(401\) | 2.65088 | − | 9.89323i | 0.132379 | − | 0.494044i | −0.867616 | − | 0.497235i | \(-0.834349\pi\) |
0.999995 | + | 0.00319033i | \(0.00101551\pi\) | |||||||
\(402\) | −4.14090 | + | 4.14090i | −0.206529 | + | 0.206529i | ||||
\(403\) | −3.51575 | + | 0.289775i | −0.175132 | + | 0.0144347i | ||||
\(404\) | 16.9173i | 0.841666i | ||||||||
\(405\) | −0.531389 | + | 2.17201i | −0.0264049 | + | 0.107928i | ||||
\(406\) | 3.23194 | + | 5.59788i | 0.160398 | + | 0.277818i | ||||
\(407\) | 1.60676 | + | 5.99649i | 0.0796439 | + | 0.297235i | ||||
\(408\) | 0.618283i | 0.0306096i | ||||||||
\(409\) | 17.0104 | − | 4.55794i | 0.841113 | − | 0.225375i | 0.187557 | − | 0.982254i | \(-0.439943\pi\) |
0.653556 | + | 0.756878i | \(0.273276\pi\) | |||||||
\(410\) | −8.72240 | + | 15.9004i | −0.430768 | + | 0.785267i | ||||
\(411\) | −5.83154 | − | 5.83154i | −0.287649 | − | 0.287649i | ||||
\(412\) | −4.91887 | + | 1.31801i | −0.242336 | + | 0.0649336i | ||||
\(413\) | 7.16634 | − | 26.7452i | 0.352633 | − | 1.31604i | ||||
\(414\) | −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 | ||||
\(418\) | −6.74465 | + | 3.89402i | −0.329891 | + | 0.190463i | ||||
\(419\) | 5.44338 | − | 3.14274i | 0.265926 | − | 0.153533i | −0.361109 | − | 0.932524i | \(-0.617602\pi\) |
0.627035 | + | 0.778991i | \(0.284268\pi\) | |||||||
\(420\) | −3.74443 | − | 2.05406i | −0.182710 | − | 0.100228i | ||||
\(421\) | −18.1111 | + | 18.1111i | −0.882681 | + | 0.882681i | −0.993806 | − | 0.111125i | \(-0.964554\pi\) |
0.111125 | + | 0.993806i | \(0.464554\pi\) | |||||||
\(422\) | 12.8509 | − | 22.2584i | 0.625571 | − | 1.08352i | ||||
\(423\) | 5.42532 | − | 9.39693i | 0.263788 | − | 0.456895i | ||||
\(424\) | 1.54550 | − | 1.54550i | 0.0750560 | − | 0.0750560i | ||||
\(425\) | 2.94825 | − | 0.929858i | 0.143011 | − | 0.0451047i | ||||
\(426\) | 5.95779 | − | 3.43973i | 0.288656 | − | 0.166655i | ||||
\(427\) | −9.45292 | + | 5.45765i | −0.457459 | + | 0.264114i | ||||
\(428\) | 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 | −0.0308013 | − | 0.999526i | \(-0.509806\pi\) |
−0.526437 | + | 0.850214i | \(0.676473\pi\) | |||||||
\(432\) | 0.258819 | − | 0.965926i | 0.0124524 | − | 0.0464731i | ||||
\(433\) | 34.2325 | − | 9.17258i | 1.64511 | − | 0.440806i | 0.686873 | − | 0.726778i | \(-0.258983\pi\) |
0.958238 | + | 0.285972i | \(0.0923163\pi\) | |||||||
\(434\) | 1.32138 | + | 1.32138i | 0.0634284 | + | 0.0634284i | ||||
\(435\) | 6.63477 | + | 3.63959i | 0.318113 | + | 0.174505i | ||||
\(436\) | 13.4993 | − | 3.61713i | 0.646500 | − | 0.173229i | ||||
\(437\) | − | 2.42359i | − | 0.115936i | ||||||
\(438\) | 0.557152 | + | 2.07932i | 0.0266218 | + | 0.0993538i | ||||
\(439\) | 15.1777 | + | 26.2886i | 0.724394 | + | 1.25469i | 0.959223 | + | 0.282650i | \(0.0912136\pi\) |
−0.234829 | + | 0.972037i | \(0.575453\pi\) | |||||||
\(440\) | −4.15565 | + | 2.52196i | −0.198113 | + | 0.120229i | ||||
\(441\) | − | 3.35201i | − | 0.159620i | ||||||
\(442\) | −2.22172 | + | 0.183118i | −0.105676 | + | 0.00871005i | ||||
\(443\) | −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 | ||||
\(445\) | −0.966382 | − | 1.59239i | −0.0458109 | − | 0.0754868i | ||||
\(446\) | −23.8621 | − | 13.7768i | −1.12990 | − | 0.652351i | ||||
\(447\) | −12.7930 | −0.605090 | ||||||||
\(448\) | 1.65408 | + | 0.954985i | 0.0781481 | + | 0.0451188i | ||||
\(449\) | 3.49720 | + | 13.0517i | 0.165043 | + | 0.615948i | 0.998035 | + | 0.0626632i | \(0.0199594\pi\) |
−0.832992 | + | 0.553285i | \(0.813374\pi\) | |||||||
\(450\) | −4.99522 | + | 0.218523i | −0.235477 | + | 0.0103013i | ||||
\(451\) | 8.81584 | − | 15.2695i | 0.415122 | − | 0.719012i | ||||
\(452\) | −13.0170 | − | 3.48791i | −0.612270 | − | 0.164057i | ||||
\(453\) | −10.2549 | − | 17.7621i | −0.481819 | − | 0.834535i | ||||
\(454\) | −6.84494 | −0.321249 | ||||||||
\(455\) | 6.27199 | − | 14.0635i | 0.294035 | − | 0.659306i | ||||
\(456\) | 3.58249 | 0.167765 | ||||||||
\(457\) | −0.114554 | − | 0.198413i | −0.00535859 | − | 0.00928136i | 0.863334 | − | 0.504633i | \(-0.168372\pi\) |
−0.868692 | + | 0.495352i | \(0.835039\pi\) | |||||||
\(458\) | −18.5790 | − | 4.97824i | −0.868142 | − | 0.232618i | ||||
\(459\) | 0.309141 | − | 0.535449i | 0.0144295 | − | 0.0249926i | ||||
\(460\) | −0.0330645 | − | 1.51236i | −0.00154164 | − | 0.0705143i | ||||
\(461\) | −9.53478 | − | 35.5843i | −0.444079 | − | 1.65733i | −0.718357 | − | 0.695675i | \(-0.755105\pi\) |
0.274278 | − | 0.961651i | \(-0.411561\pi\) | |||||||
\(462\) | 3.59585 | + | 2.07606i | 0.167294 | + | 0.0965873i | ||||
\(463\) | 0.0626597 | 0.00291205 | 0.00145602 | − | 0.999999i | \(-0.499537\pi\) | ||||
0.00145602 | + | 0.999999i | \(0.499537\pi\) | |||||||
\(464\) | −2.93087 | − | 1.69214i | −0.136062 | − | 0.0785556i | ||||
\(465\) | 2.12510 | + | 0.519911i | 0.0985490 | + | 0.0241103i | ||||
\(466\) | −2.47060 | + | 9.22039i | −0.114448 | + | 0.427126i | ||||
\(467\) | 12.4618 | − | 12.4618i | 0.576663 | − | 0.576663i | −0.357319 | − | 0.933982i | \(-0.616309\pi\) |
0.933982 | + | 0.357319i | \(0.116309\pi\) | |||||||
\(468\) | 3.54758 | + | 0.643951i | 0.163987 | + | 0.0297667i | ||||
\(469\) | 11.1850i | 0.516476i | ||||||||
\(470\) | 23.5677 | + | 5.76591i | 1.08710 | + | 0.265962i | ||||
\(471\) | 4.31894 | + | 7.48063i | 0.199006 | + | 0.344689i | ||||
\(472\) | 3.75207 | + | 14.0029i | 0.172703 | + | 0.644536i | ||||
\(473\) | 7.57358i | 0.348233i | ||||||||
\(474\) | 4.93992 | − | 1.32365i | 0.226898 | − | 0.0607972i | ||||
\(475\) | −5.38783 | − | 17.0829i | −0.247211 | − | 0.783818i | ||||
\(476\) | 0.835024 | + | 0.835024i | 0.0382733 | + | 0.0382733i | ||||
\(477\) | −2.11119 | + | 0.565691i | −0.0966647 | + | 0.0259012i | ||||
\(478\) | 1.42860 | − | 5.33162i | 0.0653428 | − | 0.243863i | ||||
\(479\) | −4.71886 | − | 1.26441i | −0.215610 | − | 0.0577726i | 0.149397 | − | 0.988777i | \(-0.452267\pi\) |
−0.365007 | + | 0.931005i | \(0.618933\pi\) | |||||||
\(480\) | 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 | ||||
\(483\) | −1.11901 | + | 0.646058i | −0.0509165 | + | 0.0293967i | ||||
\(484\) | −5.43349 | + | 3.13703i | −0.246977 | + | 0.142592i | ||||
\(485\) | −39.3403 | + | 11.4685i | −1.78635 | + | 0.520757i | ||||
\(486\) | −0.707107 | + | 0.707107i | −0.0320750 | + | 0.0320750i | ||||
\(487\) | −9.74340 | + | 16.8761i | −0.441516 | + | 0.764728i | −0.997802 | − | 0.0662630i | \(-0.978892\pi\) |
0.556287 | + | 0.830991i | \(0.312226\pi\) | |||||||
\(488\) | 2.85745 | − | 4.94925i | 0.129351 | − | 0.224042i | ||||
\(489\) | −7.42651 | + | 7.42651i | −0.335838 | + | 0.335838i | ||||
\(490\) | 7.19580 | − | 2.09772i | 0.325073 | − | 0.0947652i | ||||
\(491\) | 23.5658 | − | 13.6057i | 1.06351 | − | 0.614017i | 0.137107 | − | 0.990556i | \(-0.456219\pi\) |
0.926401 | + | 0.376540i | \(0.122886\pi\) | |||||||
\(492\) | −7.02393 | + | 4.05527i | −0.316663 | + | 0.182826i | ||||
\(493\) | −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 | ||||
\(497\) | 3.40077 | − | 12.6918i | 0.152545 | − | 0.569307i | ||||
\(498\) | −3.71168 | + | 0.994541i | −0.166324 | + | 0.0445664i | ||||
\(499\) | 11.1781 | + | 11.1781i | 0.500399 | + | 0.500399i | 0.911562 | − | 0.411163i | \(-0.134877\pi\) |
−0.411163 | + | 0.911562i | \(0.634877\pi\) | |||||||
\(500\) | −3.59516 | − | 10.5865i | −0.160780 | − | 0.473444i | ||||
\(501\) | −6.71506 | + | 1.79930i | −0.300007 | + | 0.0803866i | ||||
\(502\) | 13.7465i | 0.613537i | ||||||||
\(503\) | −1.08946 | − | 4.06591i | −0.0485764 | − | 0.181290i | 0.937375 | − | 0.348322i | \(-0.113248\pi\) |
−0.985951 | + | 0.167032i | \(0.946582\pi\) | |||||||
\(504\) | −0.954985 | − | 1.65408i | −0.0425384 | − | 0.0736787i | ||||
\(505\) | 36.7445 | + | 8.98966i | 1.63511 | + | 0.400035i | ||||
\(506\) | 1.47068i | 0.0653798i | ||||||||
\(507\) | −1.26326 | + | 12.9385i | −0.0561032 | + | 0.574618i | ||||
\(508\) | −9.70214 | + | 9.70214i | −0.430463 | + | 0.430463i | ||||
\(509\) | 9.73121 | − | 36.3174i | 0.431328 | − | 1.60974i | −0.318375 | − | 0.947965i | \(-0.603137\pi\) |
0.749703 | − | 0.661774i | \(-0.230196\pi\) | |||||||
\(510\) | 1.34292 | + | 0.328549i | 0.0594653 | + | 0.0145484i | ||||
\(511\) | 3.56070 | + | 2.05577i | 0.157516 | + | 0.0909419i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −3.10252 | − | 1.79124i | −0.136980 | − | 0.0790853i | ||||
\(514\) | 0.0339269 | + | 0.126617i | 0.00149645 | + | 0.00558484i | ||||
\(515\) | 0.248891 | + | 11.3842i | 0.0109674 | + | 0.501648i | ||||
\(516\) | 1.74191 | − | 3.01708i | 0.0766835 | − | 0.132820i | ||||
\(517\) | −22.7847 | − | 6.10515i | −1.00207 | − | 0.268504i | ||||
\(518\) | −2.72713 | − | 4.72353i | −0.119823 | − | 0.207540i | ||||
\(519\) | −13.1778 | −0.578440 | ||||||||
\(520\) | 0.837729 | + | 8.01862i | 0.0367368 | + | 0.351640i | ||||
\(521\) | 0.544187 | 0.0238413 | 0.0119206 | − | 0.999929i | \(-0.496205\pi\) | ||||
0.0119206 | + | 0.999929i | \(0.496205\pi\) | |||||||
\(522\) | 1.69214 | + | 2.93087i | 0.0740629 | + | 0.128281i | ||||
\(523\) | 1.31067 | + | 0.351192i | 0.0573114 | + | 0.0153565i | 0.287361 | − | 0.957822i | \(-0.407222\pi\) |
−0.230049 | + | 0.973179i | \(0.573889\pi\) | |||||||
\(524\) | −8.31884 | + | 14.4086i | −0.363410 | + | 0.629445i | ||||
\(525\) | −6.45119 | + | 7.04144i | −0.281553 | + | 0.307314i | ||||
\(526\) | −4.36534 | − | 16.2917i | −0.190338 | − | 0.710351i | ||||
\(527\) | −0.523883 | − | 0.302464i | −0.0228207 | − | 0.0131755i | ||||
\(528\) | −2.17392 | −0.0946079 | ||||||||
\(529\) | 19.5222 | + | 11.2712i | 0.848793 | + | 0.490051i | ||||
\(530\) | −2.53557 | − | 4.17810i | −0.110138 | − | 0.181485i | ||||
\(531\) | 3.75207 | − | 14.0029i | 0.162826 | − | 0.607675i | ||||
\(532\) | 4.83834 | − | 4.83834i | 0.209768 | − | 0.209768i | ||||
\(533\) | −16.6524 | − | 24.0385i | −0.721294 | − | 1.04122i | ||||
\(534\) | − | 0.833020i | − | 0.0360483i | ||||||
\(535\) | 18.2380 | − | 11.0682i | 0.788498 | − | 0.478519i | ||||
\(536\) | −2.92806 | − | 5.07155i | −0.126473 | − | 0.219058i | ||||
\(537\) | 4.23386 | + | 15.8010i | 0.182704 | + | 0.681862i | ||||
\(538\) | 5.48253i | 0.236369i | ||||||||
\(539\) | −7.03872 | + | 1.88602i | −0.303179 | + | 0.0812366i | ||||
\(540\) | −1.96047 | − | 1.07544i | −0.0843650 | − | 0.0462796i | ||||
\(541\) | 15.2374 | + | 15.2374i | 0.655107 | + | 0.655107i | 0.954218 | − | 0.299111i | \(-0.0966901\pi\) |
−0.299111 | + | 0.954218i | \(0.596690\pi\) | |||||||
\(542\) | 5.82549 | − | 1.56093i | 0.250226 | − | 0.0670479i | ||||
\(543\) | −2.78433 | + | 10.3912i | −0.119487 | + | 0.445931i | ||||
\(544\) | −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 | \(0.483738\pi\) | |||||||
\(548\) | 7.14214 | − | 4.12352i | 0.305097 | − | 0.176148i | ||||
\(549\) | −4.94925 | + | 2.85745i | −0.211229 | + | 0.121953i | ||||
\(550\) | 3.26944 | + | 10.3663i | 0.139409 | + | 0.442019i | ||||
\(551\) | −8.57305 | + | 8.57305i | −0.365224 | + | 0.365224i | ||||
\(552\) | 0.338255 | − | 0.585876i | 0.0143971 | − | 0.0249365i | ||||
\(553\) | 4.88397 | − | 8.45928i | 0.207687 | − | 0.359725i | ||||
\(554\) | 8.28088 | − | 8.28088i | 0.351821 | − | 0.351821i | ||||
\(555\) | −5.59846 | − | 3.07111i | −0.237641 | − | 0.130361i | ||||
\(556\) | 12.7043 | − | 7.33484i | 0.538783 | − | 0.311067i | ||||
\(557\) | −5.98283 | + | 3.45419i | −0.253501 | + | 0.146359i | −0.621366 | − | 0.783520i | \(-0.713422\pi\) |
0.367866 | + | 0.929879i | \(0.380089\pi\) | |||||||
\(558\) | 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 | ||||
\(562\) | −5.72349 | + | 21.3604i | −0.241431 | + | 0.901033i | ||||
\(563\) | −11.1418 | + | 2.98545i | −0.469573 | + | 0.125822i | −0.485843 | − | 0.874046i | \(-0.661487\pi\) |
0.0162704 | + | 0.999868i | \(0.494821\pi\) | |||||||
\(564\) | 7.67257 | + | 7.67257i | 0.323073 | + | 0.323073i | ||||
\(565\) | −14.4929 | + | 26.4197i | −0.609720 | + | 1.11149i | ||||
\(566\) | 9.26157 | − | 2.48163i | 0.389293 | − | 0.104311i | ||||
\(567\) | 1.90997i | 0.0802112i | ||||||||
\(568\) | 1.78054 | + | 6.64505i | 0.0747096 | + | 0.278820i | ||||
\(569\) | 13.9253 | + | 24.1194i | 0.583780 | + | 1.01114i | 0.995026 | + | 0.0996118i | \(0.0317601\pi\) |
−0.411247 | + | 0.911524i | \(0.634907\pi\) | |||||||
\(570\) | 1.90369 | − | 7.78119i | 0.0797369 | − | 0.325918i | ||||
\(571\) | 36.5717i | 1.53048i | 0.643745 | + | 0.765240i | \(0.277380\pi\) | ||||
−0.643745 | + | 0.765240i | \(0.722620\pi\) | |||||||
\(572\) | −0.643856 | − | 7.81170i | −0.0269210 | − | 0.326624i | ||||
\(573\) | −17.3530 | + | 17.3530i | −0.724934 | + | 0.724934i | ||||
\(574\) | −4.00934 | + | 14.9631i | −0.167347 | + | 0.624546i | ||||
\(575\) | −3.30244 | − | 0.731837i | −0.137721 | − | 0.0305197i | ||||
\(576\) | 0.866025 | + | 0.500000i | 0.0360844 | + | 0.0208333i | ||||
\(577\) | 9.67542 | 0.402793 | 0.201397 | − | 0.979510i | \(-0.435452\pi\) | ||||
0.201397 | + | 0.979510i | \(0.435452\pi\) | |||||||
\(578\) | 14.3914 | + | 8.30886i | 0.598602 | + | 0.345603i | ||||
\(579\) | 4.89678 | + | 18.2750i | 0.203503 | + | 0.759484i | ||||
\(580\) | −5.23278 | + | 5.46670i | −0.217279 | + | 0.226992i | ||||
\(581\) | −3.66964 | + | 6.35600i | −0.152242 | + | 0.263691i | ||||
\(582\) | −17.7014 | − | 4.74308i | −0.733747 | − | 0.196607i | ||||
\(583\) | 2.37573 | + | 4.11489i | 0.0983928 | + | 0.170421i | ||||
\(584\) | −2.15267 | −0.0890782 | ||||||||
\(585\) | 3.28381 | − | 7.36319i | 0.135769 | − | 0.304430i | ||||
\(586\) | 11.3686 | 0.469633 | ||||||||
\(587\) | 23.0934 | + | 39.9990i | 0.953168 | + | 1.65093i | 0.738506 | + | 0.674246i | \(0.235531\pi\) |
0.214661 | + | 0.976689i | \(0.431135\pi\) | |||||||
\(588\) | 3.23780 | + | 0.867565i | 0.133524 | + | 0.0357778i | ||||
\(589\) | −1.75255 | + | 3.03551i | −0.0722127 | + | 0.125076i | ||||
\(590\) | 32.4083 | − | 0.708535i | 1.33423 | − | 0.0291699i | ||||
\(591\) | 5.58399 | + | 20.8397i | 0.229695 | + | 0.857232i | ||||
\(592\) | 2.47309 | + | 1.42784i | 0.101643 | + | 0.0586838i | ||||
\(593\) | 26.6102 | 1.09275 | 0.546374 | − | 0.837541i | \(-0.316008\pi\) | ||||
0.546374 | + | 0.837541i | \(0.316008\pi\) | |||||||
\(594\) | 1.88267 | + | 1.08696i | 0.0772470 | + | 0.0445986i | ||||
\(595\) | 2.25740 | − | 1.36996i | 0.0925445 | − | 0.0561628i | ||||
\(596\) | 3.31108 | − | 12.3571i | 0.135627 | − | 0.506167i | ||||
\(597\) | 16.3562 | − | 16.3562i | 0.669415 | − | 0.669415i | ||||
\(598\) | 2.20545 | + | 1.04196i | 0.0901875 | + | 0.0426087i | ||||
\(599\) | 12.1568i | 0.496711i | 0.968669 | + | 0.248356i | \(0.0798902\pi\) | ||||
−0.968669 | + | 0.248356i | \(0.920110\pi\) | |||||||
\(600\) | 1.08178 | − | 4.88157i | 0.0441635 | − | 0.199289i | ||||
\(601\) | 3.24280 | + | 5.61669i | 0.132276 | + | 0.229109i | 0.924554 | − | 0.381052i | \(-0.124438\pi\) |
−0.792277 | + | 0.610161i | \(0.791105\pi\) | |||||||
\(602\) | −1.72218 | − | 6.42728i | −0.0701910 | − | 0.261956i | ||||
\(603\) | 5.85612i | 0.238480i | ||||||||
\(604\) | 19.8110 | − | 5.30834i | 0.806098 | − | 0.215993i | ||||
\(605\) | 3.92636 | + | 13.4686i | 0.159629 | + | 0.547576i | ||||
\(606\) | 11.9623 | + | 11.9623i | 0.485936 | + | 0.485936i | ||||
\(607\) | 19.9692 | − | 5.35073i | 0.810524 | − | 0.217179i | 0.170325 | − | 0.985388i | \(-0.445518\pi\) |
0.640200 | + | 0.768209i | \(0.278852\pi\) | |||||||
\(608\) | −0.927215 | + | 3.46041i | −0.0376035 | + | 0.140338i | ||||
\(609\) | 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 | ||||
\(613\) | −32.1225 | + | 18.5460i | −1.29742 | + | 0.749064i | −0.979957 | − | 0.199208i | \(-0.936163\pi\) |
−0.317460 | + | 0.948272i | \(0.602830\pi\) | |||||||
\(614\) | 14.8812 | − | 8.59165i | 0.600555 | − | 0.346731i | ||||
\(615\) | 5.07564 | + | 17.4110i | 0.204670 | + | 0.702078i | ||||
\(616\) | −2.93600 | + | 2.93600i | −0.118295 | + | 0.118295i | ||||
\(617\) | −2.52432 | + | 4.37225i | −0.101625 | + | 0.176020i | −0.912354 | − | 0.409401i | \(-0.865738\pi\) |
0.810729 | + | 0.585422i | \(0.199071\pi\) | |||||||
\(618\) | −2.54620 | + | 4.41014i | −0.102423 | + | 0.177402i | ||||
\(619\) | −18.2344 | + | 18.2344i | −0.732901 | + | 0.732901i | −0.971193 | − | 0.238292i | \(-0.923412\pi\) |
0.238292 | + | 0.971193i | \(0.423412\pi\) | |||||||
\(620\) | −1.05221 | + | 1.91812i | −0.0422578 | + | 0.0770336i | ||||
\(621\) | −0.585876 | + | 0.338255i | −0.0235104 | + | 0.0135737i | ||||
\(622\) | −14.0560 | + | 8.11525i | −0.563595 | + | 0.325392i | ||||
\(623\) | −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 | ||||
\(627\) | −2.01570 | + | 7.52268i | −0.0804991 | + | 0.300427i | ||||
\(628\) | −8.34356 | + | 2.23565i | −0.332944 | + | 0.0892121i | ||||
\(629\) | 1.24848 | + | 1.24848i | 0.0497801 | + | 0.0497801i | ||||
\(630\) | −4.10015 | + | 1.19528i | −0.163354 | + | 0.0476209i | ||||
\(631\) | 14.7435 | − | 3.95051i | 0.586930 | − | 0.157267i | 0.0468803 | − | 0.998901i | \(-0.485072\pi\) |
0.540050 | + | 0.841633i | \(0.318405\pi\) | |||||||
\(632\) | 5.11418i | 0.203431i | ||||||||
\(633\) | −6.65211 | − | 24.8260i | −0.264398 | − | 0.986745i | ||||
\(634\) | −16.4931 | − | 28.5669i | −0.655025 | − | 1.13454i | ||||
\(635\) | 15.9175 | + | 26.2288i | 0.631668 | + | 1.04086i | ||||
\(636\) | − | 2.18566i | − | 0.0866672i | ||||||
\(637\) | −2.15853 | + | 11.8915i | −0.0855242 | + | 0.471160i | ||||
\(638\) | 5.20230 | − | 5.20230i | 0.205961 | − | 0.205961i | ||||
\(639\) | 1.78054 | − | 6.64505i | 0.0704369 | − | 0.262874i | ||||
\(640\) | −0.531389 | + | 2.17201i | −0.0210050 | + | 0.0858562i | ||||
\(641\) | −41.2213 | − | 23.7991i | −1.62814 | − | 0.940008i | −0.984647 | − | 0.174558i | \(-0.944150\pi\) |
−0.643495 | − | 0.765450i | \(-0.722516\pi\) | |||||||
\(642\) | 9.54075 | 0.376543 | ||||||||
\(643\) | 19.2959 | + | 11.1405i | 0.760957 | + | 0.439339i | 0.829639 | − | 0.558300i | \(-0.188546\pi\) |
−0.0686821 | + | 0.997639i | \(0.521879\pi\) | |||||||
\(644\) | −0.334424 | − | 1.24809i | −0.0131782 | − | 0.0491816i | ||||
\(645\) | −5.62750 | − | 5.38670i | −0.221583 | − | 0.212101i | ||||
\(646\) | −1.10749 | + | 1.91824i | −0.0435738 | + | 0.0754720i | ||||
\(647\) | 18.1518 | + | 4.86376i | 0.713620 | + | 0.191214i | 0.597323 | − | 0.802001i | \(-0.296231\pi\) |
0.116297 | + | 0.993214i | \(0.462898\pi\) | |||||||
\(648\) | −0.500000 | − | 0.866025i | −0.0196419 | − | 0.0340207i | ||||
\(649\) | −31.5151 | −1.23708 | ||||||||
\(650\) | 17.8617 | + | 2.44145i | 0.700592 | + | 0.0957616i | ||||
\(651\) | 1.86872 | 0.0732408 | ||||||||
\(652\) | −5.25134 | − | 9.09558i | −0.205658 | − | 0.356210i | ||||
\(653\) | −1.52020 | − | 0.407336i | −0.0594899 | − | 0.0159403i | 0.228951 | − | 0.973438i | \(-0.426470\pi\) |
−0.288441 | + | 0.957498i | \(0.593137\pi\) | |||||||
\(654\) | 6.98776 | − | 12.1032i | 0.273243 | − | 0.473271i | ||||
\(655\) | 26.8752 | + | 25.7252i | 1.05010 | + | 1.00517i | ||||
\(656\) | −2.09916 | − | 7.83418i | −0.0819585 | − | 0.305873i | ||||
\(657\) | 1.86427 | + | 1.07634i | 0.0727320 | + | 0.0419918i | ||||
\(658\) | 20.7244 | 0.807922 | ||||||||
\(659\) | 3.05103 | + | 1.76151i | 0.118851 | + | 0.0686187i | 0.558247 | − | 0.829675i | \(-0.311474\pi\) |
−0.439396 | + | 0.898294i | \(0.644807\pi\) | |||||||
\(660\) | −1.15520 | + | 4.72178i | −0.0449661 | + | 0.183795i | ||||
\(661\) | 12.5243 | − | 46.7413i | 0.487139 | − | 1.81803i | −0.0830924 | − | 0.996542i | \(-0.526480\pi\) |
0.570231 | − | 0.821484i | \(-0.306854\pi\) | |||||||
\(662\) | 1.25741 | − | 1.25741i | 0.0488706 | − | 0.0488706i | ||||
\(663\) | −1.44151 | + | 1.70048i | −0.0559835 | + | 0.0660410i | ||||
\(664\) | − | 3.84261i | − | 0.149122i | ||||||
\(665\) | −7.93787 | − | 13.0800i | −0.307818 | − | 0.507219i | ||||
\(666\) | −1.42784 | − | 2.47309i | −0.0553276 | − | 0.0958303i | ||||
\(667\) | 0.592567 | + | 2.21149i | 0.0229443 | + | 0.0856292i | ||||
\(668\) | − | 6.95195i | − | 0.268979i | ||||||
\(669\) | −26.6147 | + | 7.13140i | −1.02899 | + | 0.275716i | ||||
\(670\) | −12.5714 | + | 3.66481i | −0.485675 | + | 0.141584i | ||||
\(671\) | 8.78492 | + | 8.78492i | 0.339138 | + | 0.339138i | ||||
\(672\) | 1.84489 | − | 0.494337i | 0.0711682 | − | 0.0190695i | ||||
\(673\) | 5.80778 | − | 21.6749i | 0.223873 | − | 0.835507i | −0.758979 | − | 0.651115i | \(-0.774302\pi\) |
0.982853 | − | 0.184392i | \(-0.0590317\pi\) | |||||||
\(674\) | 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 | \(-0.570384\pi\) | |||||||
\(678\) | −11.6708 | + | 6.73812i | −0.448213 | + | 0.258776i | ||||
\(679\) | −30.3125 | + | 17.5009i | −1.16329 | + | 0.671624i | ||||
\(680\) | −0.664926 | + | 1.21212i | −0.0254987 | + | 0.0464828i | ||||
\(681\) | −4.84010 | + | 4.84010i | −0.185473 | + | 0.185473i | ||||
\(682\) | 1.06348 | − | 1.84201i | 0.0407229 | − | 0.0705342i | ||||
\(683\) | −6.12989 | + | 10.6173i | −0.234554 | + | 0.406259i | −0.959143 | − | 0.282922i | \(-0.908696\pi\) |
0.724589 | + | 0.689181i | \(0.242030\pi\) | |||||||
\(684\) | 2.53320 | − | 2.53320i | 0.0968593 | − | 0.0968593i | ||||
\(685\) | −5.16107 | − | 17.7040i | −0.197194 | − | 0.676435i | ||||
\(686\) | 17.1231 | − | 9.88602i | 0.653763 | − | 0.377450i | ||||
\(687\) | −16.6575 | + | 9.61722i | −0.635524 | + | 0.366920i | ||||
\(688\) | 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 | −0.652967 | − | 0.757386i | \(-0.726476\pi\) |
−0.944179 | + | 0.329432i | \(0.893143\pi\) | |||||||
\(692\) | 3.41066 | − | 12.7288i | 0.129654 | − | 0.483875i | ||||
\(693\) | 4.01065 | − | 1.07465i | 0.152352 | − | 0.0408226i | ||||
\(694\) | −12.5259 | − | 12.5259i | −0.475477 | − | 0.475477i | ||||
\(695\) | −9.18041 | − | 31.4916i | −0.348233 | − | 1.19454i | ||||
\(696\) | −3.26896 | + | 0.875916i | −0.123910 | + | 0.0332015i | ||||
\(697\) | − | 5.01461i | − | 0.189942i | ||||||
\(698\) | 4.35943 | + | 16.2696i | 0.165007 | + | 0.615814i | ||||
\(699\) | 4.77283 | + | 8.26678i | 0.180525 | + | 0.312678i | ||||
\(700\) | −5.13182 | − | 8.05383i | −0.193965 | − | 0.304406i | ||||
\(701\) | 2.09730i | 0.0792141i | 0.999215 | + | 0.0396070i | \(0.0126106\pi\) | ||||
−0.999215 | + | 0.0396070i | \(0.987389\pi\) | |||||||
\(702\) | 2.96386 | − | 2.05318i | 0.111864 | − | 0.0774921i | ||||
\(703\) | 7.23400 | − | 7.23400i | 0.272836 | − | 0.272836i | ||||
\(704\) | 0.562653 | − | 2.09985i | 0.0212058 | − | 0.0791410i | ||||
\(705\) | 20.7420 | − | 12.5878i | 0.781189 | − | 0.474083i | ||||
\(706\) | 30.1361 | + | 17.3991i | 1.13419 | + | 0.654824i | ||||
\(707\) | 32.3115 | 1.21520 | ||||||||
\(708\) | 12.5547 | + | 7.24844i | 0.471833 | + | 0.272413i | ||||
\(709\) | 1.74277 | + | 6.50411i | 0.0654511 | + | 0.244267i | 0.990899 | − | 0.134608i | \(-0.0429776\pi\) |
−0.925448 | + | 0.378875i | \(0.876311\pi\) | |||||||
\(710\) | 15.3793 | − | 0.336233i | 0.577173 | − | 0.0126186i | ||||
\(711\) | 2.55709 | − | 4.42901i | 0.0958984 | − | 0.166101i | ||||
\(712\) | 0.804636 | + | 0.215602i | 0.0301550 | + | 0.00808001i | ||||
\(713\) | 0.330949 | + | 0.573221i | 0.0123942 | + | 0.0214673i | ||||
\(714\) | 1.18090 | 0.0441941 | ||||||||
\(715\) | −17.3092 | − | 2.75259i | −0.647329 | − | 0.102941i | ||||
\(716\) | −16.3584 | −0.611341 | ||||||||
\(717\) | −2.75985 | − | 4.78020i | −0.103069 | − | 0.178520i | ||||
\(718\) | 15.5515 | + | 4.16700i | 0.580375 | + | 0.155511i | ||||
\(719\) | 9.33097 | − | 16.1617i | 0.347987 | − | 0.602730i | −0.637905 | − | 0.770115i | \(-0.720199\pi\) |
0.985892 | + | 0.167385i | \(0.0535321\pi\) | |||||||
\(720\) | 1.54620 | − | 1.61532i | 0.0576235 | − | 0.0601995i | ||||
\(721\) | 2.51736 | + | 9.39490i | 0.0937513 | + | 0.349885i | ||||
\(722\) | −5.33974 | − | 3.08290i | −0.198725 | − | 0.114734i | ||||
\(723\) | −11.1409 | −0.414335 | ||||||||
\(724\) | −9.31654 | − | 5.37891i | −0.346246 | − | 0.199905i | ||||
\(725\) | 9.09308 | + | 14.2706i | 0.337708 | + | 0.529996i | ||||
\(726\) | −1.62385 | + | 6.06027i | −0.0602666 | + | 0.224918i | ||||
\(727\) | 25.5354 | − | 25.5354i | 0.947057 | − | 0.947057i | −0.0516107 | − | 0.998667i | \(-0.516435\pi\) |
0.998667 | + | 0.0516107i | \(0.0164355\pi\) | |||||||
\(728\) | 2.32274 | + | 6.48296i | 0.0860864 | + | 0.240274i | ||||
\(729\) | 1.00000i | 0.0370370i | ||||||||
\(730\) | −1.14391 | + | 4.67562i | −0.0423379 | + | 0.173053i | ||||
\(731\) | 1.07700 | + | 1.86541i | 0.0398341 | + | 0.0689947i | ||||
\(732\) | −1.47913 | − | 5.52017i | −0.0546700 | − | 0.204031i | ||||
\(733\) | 3.90642i | 0.144287i | 0.997394 | + | 0.0721435i | \(0.0229839\pi\) | ||||
−0.997394 | + | 0.0721435i | \(0.977016\pi\) | |||||||
\(734\) | −12.8267 | + | 3.43690i | −0.473441 | + | 0.126858i | ||||
\(735\) | 3.60489 | − | 6.57151i | 0.132968 | − | 0.242394i | ||||
\(736\) | 0.478365 | + | 0.478365i | 0.0176328 | + | 0.0176328i | ||||
\(737\) | 12.2970 | − | 3.29496i | 0.452965 | − | 0.121371i | ||||
\(738\) | −2.09916 | + | 7.83418i | −0.0772712 | + | 0.288380i | ||||
\(739\) | −4.49797 | − | 1.20523i | −0.165461 | − | 0.0443350i | 0.175138 | − | 0.984544i | \(-0.443963\pi\) |
−0.340598 | + | 0.940209i | \(0.610630\pi\) | |||||||
\(740\) | 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 | ||||
\(743\) | 12.3938 | − | 7.15557i | 0.454685 | − | 0.262512i | −0.255122 | − | 0.966909i | \(-0.582116\pi\) |
0.709807 | + | 0.704396i | \(0.248782\pi\) | |||||||
\(744\) | −0.847320 | + | 0.489200i | −0.0310643 | + | 0.0179350i | ||||
\(745\) | −25.0803 | − | 13.7581i | −0.918871 | − | 0.504059i | ||||
\(746\) | 4.21782 | − | 4.21782i | 0.154425 | − | 0.154425i | ||||
\(747\) | −1.92131 | + | 3.32780i | −0.0702969 | + | 0.121758i | ||||
\(748\) | 0.672050 | − | 1.16402i | 0.0245726 | − | 0.0425609i | ||||
\(749\) | 12.8853 | − | 12.8853i | 0.470818 | − | 0.470818i | ||||
\(750\) | −10.0280 | − | 4.94365i | −0.366170 | − | 0.180517i | ||||
\(751\) | −24.7594 | + | 14.2948i | −0.903482 | + | 0.521626i | −0.878328 | − | 0.478058i | \(-0.841341\pi\) |
−0.0251540 | + | 0.999684i | \(0.508008\pi\) | |||||||
\(752\) | −9.39693 | + | 5.42532i | −0.342671 | + | 0.197841i | ||||
\(753\) | 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 | ||||
\(757\) | −1.66016 | + | 6.19580i | −0.0603395 | + | 0.225190i | −0.989511 | − | 0.144460i | \(-0.953856\pi\) |
0.929171 | + | 0.369650i | \(0.120522\pi\) | |||||||
\(758\) | 9.97467 | − | 2.67271i | 0.362296 | − | 0.0970771i | ||||
\(759\) | 1.03993 | + | 1.03993i | 0.0377471 | + | 0.0377471i | ||||
\(760\) | 7.02334 | + | 3.85275i | 0.254763 | + | 0.139754i | ||||
\(761\) | 9.47294 | − | 2.53827i | 0.343394 | − | 0.0920121i | −0.0830005 | − | 0.996550i | \(-0.526450\pi\) |
0.426394 | + | 0.904537i | \(0.359784\pi\) | |||||||
\(762\) | 13.7209i | 0.497056i | ||||||||
\(763\) | −6.90862 | − | 25.7833i | −0.250109 | − | 0.933419i | ||||
\(764\) | −12.2705 | − | 21.2531i | −0.443930 | − | 0.768909i | ||||
\(765\) | 1.18190 | − | 0.717266i | 0.0427318 | − | 0.0259328i | ||||
\(766\) | − | 4.42893i | − | 0.160024i | ||||||
\(767\) | −22.3280 | + | 47.2603i | −0.806216 | + | 1.70647i | ||||
\(768\) | −0.707107 | + | 0.707107i | −0.0255155 | + | 0.0255155i | ||||
\(769\) | 4.48417 | − | 16.7351i | 0.161703 | − | 0.603485i | −0.836735 | − | 0.547609i | \(-0.815538\pi\) |
0.998438 | − | 0.0558759i | \(-0.0177951\pi\) | |||||||
\(770\) | 4.81686 | + | 7.93718i | 0.173588 | + | 0.286036i | ||||
\(771\) | 0.113522 | + | 0.0655418i | 0.00408838 | + | 0.00236043i | ||||
\(772\) | −18.9197 | −0.680934 | ||||||||
\(773\) | −38.6416 | − | 22.3097i | −1.38984 | − | 0.802426i | −0.396545 | − | 0.918015i | \(-0.629791\pi\) |
−0.993297 | + | 0.115589i | \(0.963124\pi\) | |||||||
\(774\) | −0.901681 | − | 3.36512i | −0.0324103 | − | 0.120957i | ||||
\(775\) | 3.60705 | + | 3.30468i | 0.129569 | + | 0.118708i | ||||
\(776\) | 9.16293 | − | 15.8707i | 0.328930 | − | 0.569723i | ||||
\(777\) | −5.26841 | − | 1.41167i | −0.189003 | − | 0.0506433i | ||||
\(778\) | −0.557053 | − | 0.964844i | −0.0199713 | − | 0.0345913i | ||||
\(779\) | −29.0559 | −1.04103 | ||||||||
\(780\) | 6.26238 | + | 5.07765i | 0.224229 | + | 0.181809i | ||||
\(781\) | −14.9554 | −0.535147 | ||||||||
\(782\) | 0.209138 | + | 0.362237i | 0.00747874 | + | 0.0129536i | ||||
\(783\) | 3.26896 | + | 0.875916i | 0.116823 | + | 0.0313027i | ||||
\(784\) | −1.67601 | + | 2.90293i | −0.0598574 | + | 0.103676i | ||||
\(785\) | 0.422177 | + | 19.3103i | 0.0150681 | + | 0.689214i | ||||
\(786\) | 4.30615 | + | 16.0708i | 0.153595 | + | 0.573225i | ||||
\(787\) | −8.75584 | − | 5.05518i | −0.312112 | − | 0.180198i | 0.335759 | − | 0.941948i | \(-0.391007\pi\) |
−0.647871 | + | 0.761750i | \(0.724340\pi\) | |||||||
\(788\) | −21.5749 | −0.768573 | ||||||||
\(789\) | −14.6067 | − | 8.43319i | −0.520013 | − | 0.300229i | ||||
\(790\) | 11.1081 | + | 2.71762i | 0.395207 | + | 0.0966886i | ||||
\(791\) | −6.66180 | + | 24.8622i | −0.236866 | + | 0.883997i | ||||
\(792\) | −1.53720 | + | 1.53720i | −0.0546219 | + | 0.0546219i | ||||
\(793\) | 19.3979 | − | 6.94996i | 0.688840 | − | 0.246800i | ||||
\(794\) | − | 38.4947i | − | 1.36613i | ||||||
\(795\) | −4.74728 | − | 1.16144i | −0.168369 | − | 0.0411919i | ||||
\(796\) | 11.5656 | + | 20.0322i | 0.409931 | + | 0.710022i | ||||
\(797\) | −2.75765 | − | 10.2917i | −0.0976811 | − | 0.364551i | 0.899731 | − | 0.436444i | \(-0.143762\pi\) |
−0.997412 | + | 0.0718937i | \(0.977096\pi\) | |||||||
\(798\) | − | 6.84244i | − | 0.242220i | ||||||
\(799\) | −6.48017 | + | 1.73636i | −0.229252 | + | 0.0614279i | ||||
\(800\) | 4.43525 | + | 2.30836i | 0.156810 | + | 0.0816130i | ||||
\(801\) | −0.589034 | − | 0.589034i | −0.0208125 | − | 0.0208125i | ||||
\(802\) | 9.89323 | − | 2.65088i | 0.349342 | − | 0.0936059i | ||||
\(803\) | 1.21121 | − | 4.52028i | 0.0427425 | − | 0.159517i | ||||
\(804\) | −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 | ||||
\(808\) | −14.6508 | + | 8.45864i | −0.515413 | + | 0.297574i | ||||
\(809\) | −1.08288 | + | 0.625203i | −0.0380722 | + | 0.0219810i | −0.518915 | − | 0.854826i | \(-0.673664\pi\) |
0.480843 | + | 0.876807i | \(0.340331\pi\) | |||||||
\(810\) | −2.14671 | + | 0.625808i | −0.0754277 | + | 0.0219887i | ||||
\(811\) | 18.6976 | − | 18.6976i | 0.656562 | − | 0.656562i | −0.298003 | − | 0.954565i | \(-0.596321\pi\) |
0.954565 | + | 0.298003i | \(0.0963206\pi\) | |||||||
\(812\) | −3.23194 | + | 5.59788i | −0.113419 | + | 0.196447i | ||||
\(813\) | 3.01549 | − | 5.22299i | 0.105758 | − | 0.183178i | ||||
\(814\) | −4.38974 | + | 4.38974i | −0.153860 | + | 0.153860i | ||||
\(815\) | −22.5462 | + | 6.57266i | −0.789759 | + | 0.230230i | ||||
\(816\) | −0.535449 | + | 0.309141i | −0.0187445 | + | 0.0108221i | ||||
\(817\) | 10.8087 | − | 6.24038i | 0.378147 | − | 0.218323i | ||||
\(818\) | 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 | 0.0989499 | − | 0.995092i | \(-0.468452\pi\) |
−0.411853 | + | 0.911250i | \(0.635118\pi\) | |||||||
\(822\) | 2.13449 | − | 7.96603i | 0.0744489 | − | 0.277847i | ||||
\(823\) | 4.74623 | − | 1.27175i | 0.165443 | − | 0.0443304i | −0.175147 | − | 0.984542i | \(-0.556040\pi\) |
0.340590 | + | 0.940212i | \(0.389373\pi\) | |||||||
\(824\) | −3.60087 | − | 3.60087i | −0.125442 | − | 0.125442i | ||||
\(825\) | 9.64190 | + | 5.01821i | 0.335688 | + | 0.174712i | ||||
\(826\) | 26.7452 | − | 7.16634i | 0.930583 | − | 0.249349i | ||||
\(827\) | − | 32.9053i | − | 1.14423i | −0.820174 | − | 0.572114i | \(-0.806123\pi\) | ||
0.820174 | − | 0.572114i | \(-0.193877\pi\) | |||||||
\(828\) | −0.175094 | − | 0.653459i | −0.00608493 | − | 0.0227093i | ||||
\(829\) | −1.27999 | − | 2.21701i | −0.0444559 | − | 0.0769998i | 0.842941 | − | 0.538006i | \(-0.180822\pi\) |
−0.887397 | + | 0.461006i | \(0.847489\pi\) | |||||||
\(830\) | −8.34619 | − | 2.04192i | −0.289700 | − | 0.0708761i | ||||
\(831\) | − | 11.7109i | − | 0.406248i | ||||||
\(832\) | −2.75032 | − | 2.33147i | −0.0953502 | − | 0.0808291i | ||||
\(833\) | −1.46547 | + | 1.46547i | −0.0507756 | + | 0.0507756i | ||||
\(834\) | 3.79680 | − | 14.1698i | 0.131472 | − | 0.490661i | ||||
\(835\) | −15.0997 | − | 3.69419i | −0.522546 | − | 0.127843i | ||||
\(836\) | −6.74465 | − | 3.89402i | −0.233269 | − | 0.134678i | ||||
\(837\) | 0.978401 | 0.0338185 | ||||||||
\(838\) | 5.44338 | + | 3.14274i | 0.188038 | + | 0.108564i | ||||
\(839\) | −3.70671 | − | 13.8336i | −0.127970 | − | 0.477590i | 0.871958 | − | 0.489580i | \(-0.162850\pi\) |
−0.999928 | + | 0.0119902i | \(0.996183\pi\) | |||||||
\(840\) | −0.0933498 | − | 4.26980i | −0.00322087 | − | 0.147322i | ||||
\(841\) | −8.77333 | + | 15.1959i | −0.302529 | + | 0.523995i | ||||
\(842\) | −24.7402 | − | 6.62912i | −0.852604 | − | 0.228455i | ||||
\(843\) | 11.0569 | + | 19.1512i | 0.380821 | + | 0.659602i | ||||
\(844\) | 25.7018 | 0.884692 | ||||||||
\(845\) | −16.3911 | + | 24.0069i | −0.563872 | + | 0.825862i | ||||
\(846\) | 10.8506 | 0.373053 | ||||||||
\(847\) | 5.99163 | + | 10.3778i | 0.205875 | + | 0.356586i | ||||
\(848\) | 2.11119 | + | 0.565691i | 0.0724985 | + | 0.0194259i | ||||
\(849\) | 4.79414 | − | 8.30370i | 0.164535 | − | 0.284982i | ||||
\(850\) | 2.27941 | + | 2.08833i | 0.0781830 | + | 0.0716293i | ||||
\(851\) | −0.500012 | − | 1.86607i | −0.0171402 | − | 0.0639680i | ||||
\(852\) | 5.95779 | + | 3.43973i | 0.204110 | + | 0.117843i | ||||
\(853\) | 5.12578 | 0.175503 | 0.0877516 | − | 0.996142i | \(-0.472032\pi\) | ||||
0.0877516 | + | 0.996142i | \(0.472032\pi\) | |||||||
\(854\) | −9.45292 | − | 5.45765i | −0.323472 | − | 0.186757i | ||||
\(855\) | −4.15602 | − | 6.84825i | −0.142133 | − | 0.234205i | ||||
\(856\) | −2.46933 | + | 9.21566i | −0.0843999 | + | 0.314985i | ||||
\(857\) | 25.5465 | − | 25.5465i | 0.872652 | − | 0.872652i | −0.120109 | − | 0.992761i | \(-0.538324\pi\) |
0.992761 | + | 0.120109i | \(0.0383244\pi\) | |||||||
\(858\) | −5.97898 | − | 5.06843i | −0.204119 | − | 0.173033i | ||||
\(859\) | − | 39.8525i | − | 1.35975i | −0.733328 | − | 0.679875i | \(-0.762034\pi\) | ||
0.733328 | − | 0.679875i | \(-0.237966\pi\) | |||||||
\(860\) | 6.65966 | − | 4.04157i | 0.227092 | − | 0.137816i | ||||
\(861\) | 7.74544 | + | 13.4155i | 0.263964 | + | 0.457199i | ||||
\(862\) | −3.09979 | − | 11.5686i | −0.105579 | − | 0.394027i | ||||
\(863\) | − | 46.1552i | − | 1.57114i | −0.618773 | − | 0.785570i | \(-0.712370\pi\) | ||
0.618773 | − | 0.785570i | \(-0.287630\pi\) | |||||||
\(864\) | 0.965926 | − | 0.258819i | 0.0328615 | − | 0.00880520i | ||||
\(865\) | −25.8346 | − | 14.1719i | −0.878403 | − | 0.481859i | ||||
\(866\) | 25.0600 | + | 25.0600i | 0.851572 | + | 0.851572i | ||||
\(867\) | 16.0515 | − | 4.30098i | 0.545137 | − | 0.146069i | ||||
\(868\) | −0.483659 | + | 1.80504i | −0.0164165 | + | 0.0612671i | ||||
\(869\) | −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 | ||||
\(873\) | −15.8707 | + | 9.16293i | −0.537140 | + | 0.310118i | ||||
\(874\) | 2.09889 | − | 1.21180i | 0.0709960 | − | 0.0409896i | ||||
\(875\) | −20.2200 | + | 6.86665i | −0.683560 | + | 0.232135i | ||||
\(876\) | −1.52217 | + | 1.52217i | −0.0514293 | + | 0.0514293i | ||||
\(877\) | 24.4763 | − | 42.3941i | 0.826505 | − | 1.43155i | −0.0742588 | − | 0.997239i | \(-0.523659\pi\) |
0.900764 | − | 0.434310i | \(-0.143008\pi\) | |||||||
\(878\) | −15.1777 | + | 26.2886i | −0.512224 | + | 0.887198i | ||||
\(879\) | 8.03881 | − | 8.03881i | 0.271142 | − | 0.271142i | ||||
\(880\) | −4.26190 | − | 2.33792i | −0.143669 | − | 0.0788114i | ||||
\(881\) | 10.4747 | − | 6.04758i | 0.352902 | − | 0.203748i | −0.313060 | − | 0.949733i | \(-0.601354\pi\) |
0.665963 | + | 0.745985i | \(0.268021\pi\) | |||||||
\(882\) | 2.90293 | − | 1.67601i | 0.0977467 | − | 0.0564341i | ||||
\(883\) | −0.0376098 | − | 0.0376098i | −0.00126567 | − | 0.00126567i | 0.706474 | − | 0.707739i | \(-0.250285\pi\) |
−0.707739 | + | 0.706474i | \(0.750285\pi\) | |||||||
\(884\) | −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 | ||||
\(887\) | −5.24258 | + | 19.5656i | −0.176029 | + | 0.656947i | 0.820346 | + | 0.571868i | \(0.193781\pi\) |
−0.996374 | + | 0.0850794i | \(0.972886\pi\) | |||||||
\(888\) | 2.75837 | − | 0.739104i | 0.0925650 | − | 0.0248027i | ||||
\(889\) | 18.5308 | + | 18.5308i | 0.621503 | + | 0.621503i | ||||
\(890\) | 0.895863 | − | 1.63311i | 0.0300294 | − | 0.0547419i | ||||
\(891\) | 2.09985 | − | 0.562653i | 0.0703476 | − | 0.0188496i | ||||
\(892\) | − | 27.5536i | − | 0.922563i | ||||||
\(893\) | 10.0609 | + | 37.5477i | 0.336675 | + | 1.25649i | ||||
\(894\) | −6.39651 | − | 11.0791i | −0.213931 | − | 0.370540i | ||||
\(895\) | −8.69265 | + | 35.5305i | −0.290563 | + | 1.18765i | ||||
\(896\) | 1.90997i | 0.0638076i | ||||||||
\(897\) | 2.29626 | − | 0.822713i | 0.0766699 | − | 0.0274696i | ||||
\(898\) | −9.55452 | + | 9.55452i | −0.318838 | + | 0.318838i | ||||
\(899\) | 0.856997 | − | 3.19836i | 0.0285824 | − | 0.106671i | ||||
\(900\) | −2.68686 | − | 4.21673i | −0.0895619 | − | 0.140558i | ||||
\(901\) | 1.17031 | + | 0.675679i | 0.0389887 | + | 0.0225101i | ||||
\(902\) | 17.6317 | 0.587071 | ||||||||
\(903\) | −5.76254 | − | 3.32701i | −0.191765 | − | 0.110716i | ||||
\(904\) | −3.48791 | − | 13.0170i | −0.116006 | − | 0.432940i | ||||
\(905\) | −16.6337 | + | 17.3773i | −0.552924 | + | 0.577642i | ||||
\(906\) | 10.2549 | − | 17.7621i | 0.340697 | − | 0.590105i | ||||
\(907\) | −50.0170 | − | 13.4020i | −1.66079 | − | 0.445006i | −0.698182 | − | 0.715920i | \(-0.746007\pi\) |
−0.962604 | + | 0.270914i | \(0.912674\pi\) | |||||||
\(908\) | −3.42247 | − | 5.92789i | −0.113579 | − | 0.196724i | ||||
\(909\) | 16.9173 | 0.561111 | ||||||||
\(910\) | 15.3153 | − | 1.60004i | 0.507698 | − | 0.0530407i | ||||
\(911\) | −0.617609 | −0.0204623 | −0.0102311 | − | 0.999948i | \(-0.503257\pi\) | ||||
−0.0102311 | + | 0.999948i | \(0.503257\pi\) | |||||||
\(912\) | 1.79124 | + | 3.10252i | 0.0593140 | + | 0.102735i | ||||
\(913\) | 8.06890 | + | 2.16206i | 0.267042 | + | 0.0715536i | ||||
\(914\) | 0.114554 | − | 0.198413i | 0.00378910 | − | 0.00656291i | ||||
\(915\) | −12.7759 | + | 0.279316i | −0.422357 | + | 0.00923389i | ||||
\(916\) | −4.97824 | − | 18.5790i | −0.164486 | − | 0.613869i | ||||
\(917\) | 27.5201 | + | 15.8887i | 0.908794 | + | 0.524692i | ||||
\(918\) | 0.618283 | 0.0204064 | ||||||||
\(919\) | 13.3803 | + | 7.72510i | 0.441374 | + | 0.254828i | 0.704180 | − | 0.710021i | \(-0.251315\pi\) |
−0.262806 | + | 0.964849i | \(0.584648\pi\) | |||||||
\(920\) | 1.29321 | − | 0.784816i | 0.0426360 | − | 0.0258746i | ||||
\(921\) | 4.44736 | − | 16.5978i | 0.146546 | − | 0.546916i | ||||
\(922\) | 26.0495 | − | 26.0495i | 0.857895 | − | 0.857895i | ||||
\(923\) | −10.5957 | + | 22.4273i | −0.348761 | + | 0.738202i | ||||
\(924\) | 4.15213i | 0.136595i | ||||||||
\(925\) | −7.67280 | − | 12.0416i | −0.252280 | − | 0.395926i | ||||
\(926\) | 0.0313299 | + | 0.0542649i | 0.00102956 | + | 0.00178326i | ||||
\(927\) | 1.31801 | + | 4.91887i | 0.0432891 | + | 0.161557i | ||||
\(928\) | − | 3.38428i | − | 0.111094i | ||||||
\(929\) | 12.5676 | − | 3.36748i | 0.412330 | − | 0.110483i | −0.0466902 | − | 0.998909i | \(-0.514867\pi\) |
0.459020 | + | 0.888426i | \(0.348201\pi\) | |||||||
\(930\) | 0.612291 | + | 2.10034i | 0.0200778 | + | 0.0688729i | ||||
\(931\) | 8.49132 | + | 8.49132i | 0.278292 | + | 0.278292i | ||||
\(932\) | −9.22039 | + | 2.47060i | −0.302024 | + | 0.0809271i | ||||
\(933\) | −4.20076 | + | 15.6775i | −0.137527 | + | 0.513257i | ||||
\(934\) | 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 | \(0.828402\pi\) | |||||||
\(938\) | −9.68651 | + | 5.59251i | −0.316276 | + | 0.182602i | ||||
\(939\) | −18.2070 | + | 10.5118i | −0.594164 | + | 0.343041i | ||||
\(940\) | 6.79042 | + | 23.2932i | 0.221479 | + | 0.759740i | ||||
\(941\) | 29.8629 | − | 29.8629i | 0.973501 | − | 0.973501i | −0.0261567 | − | 0.999658i | \(-0.508327\pi\) |
0.999658 | + | 0.0261567i | \(0.00832690\pi\) | |||||||
\(942\) | −4.31894 | + | 7.48063i | −0.140719 | + | 0.243732i | ||||
\(943\) | −2.74343 | + | 4.75177i | −0.0893385 | + | 0.154739i | ||||
\(944\) | −10.2508 | + | 10.2508i | −0.333637 | + | 0.333637i | ||||
\(945\) | −2.05406 | + | 3.74443i | −0.0668185 | + | 0.121806i | ||||
\(946\) | −6.55891 | + | 3.78679i | −0.213249 | + | 0.123119i | ||||
\(947\) | 16.1195 | − | 9.30662i | 0.523815 | − | 0.302424i | −0.214679 | − | 0.976685i | \(-0.568871\pi\) |
0.738494 | + | 0.674260i | \(0.235537\pi\) | |||||||
\(948\) | 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 | ||||
\(952\) | −0.305640 | + | 1.14066i | −0.00990585 | + | 0.0369691i | ||||
\(953\) | 39.4440 | − | 10.5690i | 1.27772 | − | 0.342363i | 0.444733 | − | 0.895663i | \(-0.353298\pi\) |
0.832982 | + | 0.553300i | \(0.186632\pi\) | |||||||
\(954\) | −1.54550 | − | 1.54550i | −0.0500373 | − | 0.0500373i | ||||
\(955\) | −52.6822 | + | 15.3579i | −1.70476 | + | 0.496970i | ||||
\(956\) | 5.33162 | − | 1.42860i | 0.172437 | − | 0.0462044i | ||||
\(957\) | − | 7.35716i | − | 0.237823i | ||||||
\(958\) | −1.26441 | − | 4.71886i | −0.0408514 | − | 0.152459i | ||||
\(959\) | −7.87580 | − | 13.6413i | −0.254323 | − | 0.440500i | ||||
\(960\) | 1.16009 | + | 1.91159i | 0.0374419 | + | 0.0616964i | ||||
\(961\) | 30.0427i | 0.969120i | ||||||||
\(962\) | 3.47282 | + | 9.69294i | 0.111968 | + | 0.312513i | ||||
\(963\) | 6.74633 | − | 6.74633i | 0.217397 | − | 0.217397i | ||||
\(964\) | 2.88348 | − | 10.7613i | 0.0928707 | − | 0.346598i | ||||
\(965\) | −10.0537 | + | 41.0937i | −0.323641 | + | 1.32285i | ||||
\(966\) | −1.11901 | − | 0.646058i | −0.0360034 | − | 0.0207866i | ||||
\(967\) | 57.3191 | 1.84326 | 0.921629 | − | 0.388073i | \(-0.126859\pi\) | ||||
0.921629 | + | 0.388073i | \(0.126859\pi\) | |||||||
\(968\) | −5.43349 | − | 3.13703i | −0.174639 | − | 0.100828i | ||||
\(969\) | 0.573281 | + | 2.13952i | 0.0184164 | + | 0.0687311i | ||||
\(970\) | −29.6021 | − | 28.3355i | −0.950467 | − | 0.909797i | ||||
\(971\) | −22.9605 | + | 39.7687i | −0.736836 | + | 1.27624i | 0.217077 | + | 0.976155i | \(0.430348\pi\) |
−0.953913 | + | 0.300083i | \(0.902986\pi\) | |||||||
\(972\) | −0.965926 | − | 0.258819i | −0.0309821 | − | 0.00830162i | ||||
\(973\) | −14.0093 | − | 24.2649i | −0.449119 | − | 0.777897i | ||||
\(974\) | −19.4868 | −0.624397 | ||||||||
\(975\) | 14.3565 | − | 10.9037i | 0.459775 | − | 0.349199i | ||||
\(976\) | 5.71490 | 0.182930 | ||||||||
\(977\) | 29.2570 | + | 50.6747i | 0.936015 | + | 1.62123i | 0.772814 | + | 0.634633i | \(0.218849\pi\) |
0.163201 | + | 0.986593i | \(0.447818\pi\) | |||||||
\(978\) | −10.1448 | − | 2.71829i | −0.324395 | − | 0.0869214i | ||||
\(979\) | −0.905461 | + | 1.56831i | −0.0289387 | + | 0.0501232i | ||||
\(980\) | 5.41458 | + | 5.18289i | 0.172962 | + | 0.165561i | ||||
\(981\) | −3.61713 | − | 13.4993i | −0.115486 | − | 0.431000i | ||||
\(982\) | 23.5658 | + | 13.6057i | 0.752014 | + | 0.434175i | ||||
\(983\) | −17.6084 | −0.561621 | −0.280811 | − | 0.959763i | \(-0.590603\pi\) | ||||
−0.280811 | + | 0.959763i | \(0.590603\pi\) | |||||||
\(984\) | −7.02393 | − | 4.05527i | −0.223915 | − | 0.129277i | ||||
\(985\) | −11.4647 | + | 46.8608i | −0.365294 | + | 1.49311i | ||||
\(986\) | 0.541564 | − | 2.02114i | 0.0172469 | − | 0.0643663i | ||||
\(987\) | 14.6544 | − | 14.6544i | 0.466454 | − | 0.466454i | ||||
\(988\) | −10.6180 | + | 7.35547i | −0.337803 | + | 0.234009i | ||||
\(989\) | − | 2.35685i | − | 0.0749434i | ||||||
\(990\) | 2.52196 | + | 4.15565i | 0.0801530 | + | 0.132075i | ||||
\(991\) | −5.36717 | − | 9.29621i | −0.170494 | − | 0.295304i | 0.768099 | − | 0.640331i | \(-0.221203\pi\) |
−0.938593 | + | 0.345027i | \(0.887870\pi\) | |||||||
\(992\) | −0.253229 | − | 0.945063i | −0.00804002 | − | 0.0300058i | ||||
\(993\) | − | 1.77824i | − | 0.0564309i | ||||||
\(994\) | 12.6918 | − | 3.40077i | 0.402561 | − | 0.107866i | ||||
\(995\) | 49.6559 | − | 14.4757i | 1.57420 | − | 0.458910i | ||||
\(996\) | −2.71714 | − | 2.71714i | −0.0860957 | − | 0.0860957i | ||||
\(997\) | 12.3326 | − | 3.30451i | 0.390577 | − | 0.104655i | −0.0581856 | − | 0.998306i | \(-0.518532\pi\) |
0.448763 | + | 0.893651i | \(0.351865\pi\) | |||||||
\(998\) | −4.09145 | + | 15.2695i | −0.129513 | + | 0.483348i | ||||
\(999\) | −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.bn.b.67.4 | yes | 16 | |
5.3 | odd | 4 | 390.2.bd.b.223.1 | yes | 16 | ||
13.7 | odd | 12 | 390.2.bd.b.7.1 | ✓ | 16 | ||
65.33 | even | 12 | inner | 390.2.bn.b.163.4 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
390.2.bd.b.7.1 | ✓ | 16 | 13.7 | odd | 12 | ||
390.2.bd.b.223.1 | yes | 16 | 5.3 | odd | 4 | ||
390.2.bn.b.67.4 | yes | 16 | 1.1 | even | 1 | trivial | |
390.2.bn.b.163.4 | yes | 16 | 65.33 | even | 12 | inner |