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 | 193.2 | ||
Root | \(2.69978 - 0.355433i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 390.193 |
Dual form | 390.2.bn.b.97.2 |
$q$-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 \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).
\(n\) | \(131\) | \(157\) | \(301\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{7}{12}\right)\) |
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 | ||||
\(3\) | −0.258819 | + | 0.965926i | −0.149429 | + | 0.557678i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 1.50924 | + | 1.64991i | 0.674951 | + | 0.737863i | ||||
\(6\) | −0.965926 | + | 0.258819i | −0.394338 | + | 0.105662i | ||||
\(7\) | 2.70280 | + | 1.56046i | 1.02156 | + | 0.589799i | 0.914556 | − | 0.404459i | \(-0.132540\pi\) |
0.107006 | + | 0.994258i | \(0.465874\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | −0.866025 | − | 0.500000i | −0.288675 | − | 0.166667i | ||||
\(10\) | −0.674247 | + | 2.13199i | −0.213216 | + | 0.674195i | ||||
\(11\) | 0.628610 | + | 0.168435i | 0.189533 | + | 0.0507852i | 0.352337 | − | 0.935873i | \(-0.385387\pi\) |
−0.162804 | + | 0.986658i | \(0.552054\pi\) | |||||||
\(12\) | −0.707107 | − | 0.707107i | −0.204124 | − | 0.204124i | ||||
\(13\) | −1.78771 | − | 3.13115i | −0.495822 | − | 0.868424i | ||||
\(14\) | 3.12092i | 0.834102i | ||||||||
\(15\) | −1.98431 | + | 1.03078i | −0.512347 | + | 0.266147i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −0.0844736 | + | 0.0226346i | −0.0204879 | + | 0.00548970i | −0.269048 | − | 0.963127i | \(-0.586709\pi\) |
0.248561 | + | 0.968616i | \(0.420042\pi\) | |||||||
\(18\) | − | 1.00000i | − | 0.235702i | ||||||
\(19\) | −0.264302 | − | 0.986389i | −0.0606351 | − | 0.226293i | 0.928959 | − | 0.370184i | \(-0.120705\pi\) |
−0.989594 | + | 0.143891i | \(0.954039\pi\) | |||||||
\(20\) | −2.18348 | + | 0.482081i | −0.488242 | + | 0.107797i | ||||
\(21\) | −2.20683 | + | 2.20683i | −0.481569 | + | 0.481569i | ||||
\(22\) | 0.168435 | + | 0.628610i | 0.0359106 | + | 0.134020i | ||||
\(23\) | 2.28118 | + | 0.611240i | 0.475659 | + | 0.127452i | 0.488680 | − | 0.872463i | \(-0.337478\pi\) |
−0.0130217 | + | 0.999915i | \(0.504145\pi\) | |||||||
\(24\) | 0.258819 | − | 0.965926i | 0.0528312 | − | 0.197169i | ||||
\(25\) | −0.444415 | + | 4.98021i | −0.0888830 | + | 0.996042i | ||||
\(26\) | 1.81780 | − | 3.11378i | 0.356499 | − | 0.610662i | ||||
\(27\) | 0.707107 | − | 0.707107i | 0.136083 | − | 0.136083i | ||||
\(28\) | −2.70280 | + | 1.56046i | −0.510781 | + | 0.294899i | ||||
\(29\) | −7.96403 | + | 4.59804i | −1.47888 | + | 0.853834i | −0.999715 | − | 0.0238887i | \(-0.992395\pi\) |
−0.479169 | + | 0.877723i | \(0.659062\pi\) | |||||||
\(30\) | −1.88484 | − | 1.20307i | −0.344123 | − | 0.219650i | ||||
\(31\) | −1.40560 | − | 1.40560i | −0.252453 | − | 0.252453i | 0.569523 | − | 0.821975i | \(-0.307128\pi\) |
−0.821975 | + | 0.569523i | \(0.807128\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | −0.325392 | + | 0.563596i | −0.0566435 | + | 0.0981095i | ||||
\(34\) | −0.0618390 | − | 0.0618390i | −0.0106053 | − | 0.0106053i | ||||
\(35\) | 1.50454 | + | 6.81448i | 0.254313 | + | 1.15186i | ||||
\(36\) | 0.866025 | − | 0.500000i | 0.144338 | − | 0.0833333i | ||||
\(37\) | 6.58253 | − | 3.80043i | 1.08216 | − | 0.624786i | 0.150683 | − | 0.988582i | \(-0.451853\pi\) |
0.931479 | + | 0.363796i | \(0.118519\pi\) | |||||||
\(38\) | 0.722087 | − | 0.722087i | 0.117138 | − | 0.117138i | ||||
\(39\) | 3.48715 | − | 0.916397i | 0.558391 | − | 0.146741i | ||||
\(40\) | −1.50924 | − | 1.64991i | −0.238631 | − | 0.260874i | ||||
\(41\) | −0.901032 | + | 3.36270i | −0.140718 | + | 0.525165i | 0.859191 | + | 0.511655i | \(0.170967\pi\) |
−0.999909 | + | 0.0135103i | \(0.995699\pi\) | |||||||
\(42\) | −3.01458 | − | 0.807754i | −0.465160 | − | 0.124639i | ||||
\(43\) | −2.60755 | − | 9.73152i | −0.397648 | − | 1.48404i | −0.817223 | − | 0.576322i | \(-0.804487\pi\) |
0.419575 | − | 0.907721i | \(-0.362179\pi\) | |||||||
\(44\) | −0.460174 | + | 0.460174i | −0.0693739 | + | 0.0693739i | ||||
\(45\) | −0.482081 | − | 2.18348i | −0.0718644 | − | 0.325494i | ||||
\(46\) | 0.611240 | + | 2.28118i | 0.0901224 | + | 0.336341i | ||||
\(47\) | − | 4.74221i | − | 0.691722i | −0.938286 | − | 0.345861i | \(-0.887587\pi\) | ||
0.938286 | − | 0.345861i | \(-0.112413\pi\) | |||||||
\(48\) | 0.965926 | − | 0.258819i | 0.139419 | − | 0.0373573i | ||||
\(49\) | 1.37008 | + | 2.37305i | 0.195726 | + | 0.339007i | ||||
\(50\) | −4.53520 | + | 2.10523i | −0.641374 | + | 0.297725i | ||||
\(51\) | − | 0.0874535i | − | 0.0122459i | ||||||
\(52\) | 3.60551 | + | 0.0173697i | 0.499994 | + | 0.00240874i | ||||
\(53\) | 6.10974 | + | 6.10974i | 0.839237 | + | 0.839237i | 0.988758 | − | 0.149521i | \(-0.0477733\pi\) |
−0.149521 | + | 0.988758i | \(0.547773\pi\) | |||||||
\(54\) | 0.965926 | + | 0.258819i | 0.131446 | + | 0.0352208i | ||||
\(55\) | 0.670817 | + | 1.29136i | 0.0904529 | + | 0.174127i | ||||
\(56\) | −2.70280 | − | 1.56046i | −0.361177 | − | 0.208525i | ||||
\(57\) | 1.02119 | 0.135259 | ||||||||
\(58\) | −7.96403 | − | 4.59804i | −1.04573 | − | 0.603752i | ||||
\(59\) | 12.7884 | − | 3.42665i | 1.66491 | − | 0.446112i | 0.701181 | − | 0.712984i | \(-0.252657\pi\) |
0.963732 | + | 0.266872i | \(0.0859900\pi\) | |||||||
\(60\) | 0.0994727 | − | 2.23385i | 0.0128419 | − | 0.288389i | ||||
\(61\) | 3.40217 | − | 5.89274i | 0.435604 | − | 0.754488i | −0.561741 | − | 0.827313i | \(-0.689868\pi\) |
0.997345 | + | 0.0728252i | \(0.0232015\pi\) | |||||||
\(62\) | 0.514484 | − | 1.92008i | 0.0653395 | − | 0.243851i | ||||
\(63\) | −1.56046 | − | 2.70280i | −0.196600 | − | 0.340521i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 2.46804 | − | 7.67521i | 0.306122 | − | 0.951992i | ||||
\(66\) | −0.650785 | −0.0801061 | ||||||||
\(67\) | −5.42255 | − | 9.39213i | −0.662470 | − | 1.14743i | −0.979965 | − | 0.199172i | \(-0.936175\pi\) |
0.317495 | − | 0.948260i | \(-0.397158\pi\) | |||||||
\(68\) | 0.0226346 | − | 0.0844736i | 0.00274485 | − | 0.0102439i | ||||
\(69\) | −1.18083 | + | 2.04525i | −0.142155 | + | 0.246219i | ||||
\(70\) | −5.14925 | + | 4.71021i | −0.615453 | + | 0.562978i | ||||
\(71\) | 13.0079 | − | 3.48547i | 1.54376 | − | 0.413649i | 0.616281 | − | 0.787526i | \(-0.288639\pi\) |
0.927478 | + | 0.373878i | \(0.121972\pi\) | |||||||
\(72\) | 0.866025 | + | 0.500000i | 0.102062 | + | 0.0589256i | ||||
\(73\) | −2.45159 | −0.286937 | −0.143469 | − | 0.989655i | \(-0.545826\pi\) | ||||
−0.143469 | + | 0.989655i | \(0.545826\pi\) | |||||||
\(74\) | 6.58253 | + | 3.80043i | 0.765204 | + | 0.441791i | ||||
\(75\) | −4.69549 | − | 1.71825i | −0.542189 | − | 0.198406i | ||||
\(76\) | 0.986389 | + | 0.264302i | 0.113147 | + | 0.0303175i | ||||
\(77\) | 1.43617 | + | 1.43617i | 0.163667 | + | 0.163667i | ||||
\(78\) | 2.53720 | + | 2.56176i | 0.287281 | + | 0.290062i | ||||
\(79\) | 10.4433i | 1.17496i | 0.809239 | + | 0.587480i | \(0.199880\pi\) | ||||
−0.809239 | + | 0.587480i | \(0.800120\pi\) | |||||||
\(80\) | 0.674247 | − | 2.13199i | 0.0753831 | − | 0.238364i | ||||
\(81\) | 0.500000 | + | 0.866025i | 0.0555556 | + | 0.0962250i | ||||
\(82\) | −3.36270 | + | 0.901032i | −0.371348 | + | 0.0995023i | ||||
\(83\) | 1.51346i | 0.166124i | 0.996544 | + | 0.0830620i | \(0.0264700\pi\) | ||||
−0.996544 | + | 0.0830620i | \(0.973530\pi\) | |||||||
\(84\) | −0.807754 | − | 3.01458i | −0.0881332 | − | 0.328918i | ||||
\(85\) | −0.164836 | − | 0.105213i | −0.0178789 | − | 0.0114119i | ||||
\(86\) | 7.12397 | − | 7.12397i | 0.768197 | − | 0.768197i | ||||
\(87\) | −2.38012 | − | 8.88272i | −0.255176 | − | 0.952328i | ||||
\(88\) | −0.628610 | − | 0.168435i | −0.0670100 | − | 0.0179553i | ||||
\(89\) | −4.84513 | + | 18.0823i | −0.513583 | + | 1.91672i | −0.136116 | + | 0.990693i | \(0.543462\pi\) |
−0.377466 | + | 0.926023i | \(0.623205\pi\) | |||||||
\(90\) | 1.64991 | − | 1.50924i | 0.173916 | − | 0.159087i | ||||
\(91\) | 0.0542094 | − | 11.2525i | 0.00568268 | − | 1.17958i | ||||
\(92\) | −1.66994 | + | 1.66994i | −0.174103 | + | 0.174103i | ||||
\(93\) | 1.72150 | − | 0.993907i | 0.178511 | − | 0.103063i | ||||
\(94\) | 4.10687 | − | 2.37110i | 0.423592 | − | 0.244561i | ||||
\(95\) | 1.22856 | − | 1.92477i | 0.126048 | − | 0.197477i | ||||
\(96\) | 0.707107 | + | 0.707107i | 0.0721688 | + | 0.0721688i | ||||
\(97\) | 2.55851 | − | 4.43146i | 0.259777 | − | 0.449947i | −0.706405 | − | 0.707808i | \(-0.749684\pi\) |
0.966182 | + | 0.257861i | \(0.0830176\pi\) | |||||||
\(98\) | −1.37008 | + | 2.37305i | −0.138399 | + | 0.239714i | ||||
\(99\) | −0.460174 | − | 0.460174i | −0.0462493 | − | 0.0462493i | ||||
\(100\) | −4.09078 | − | 2.87498i | −0.409078 | − | 0.287498i | ||||
\(101\) | 3.59747 | − | 2.07700i | 0.357961 | − | 0.206669i | −0.310225 | − | 0.950663i | \(-0.600404\pi\) |
0.668186 | + | 0.743994i | \(0.267071\pi\) | |||||||
\(102\) | 0.0757369 | − | 0.0437267i | 0.00749908 | − | 0.00432959i | ||||
\(103\) | 8.89096 | − | 8.89096i | 0.876052 | − | 0.876052i | −0.117071 | − | 0.993124i | \(-0.537351\pi\) |
0.993124 | + | 0.117071i | \(0.0373505\pi\) | |||||||
\(104\) | 1.78771 | + | 3.13115i | 0.175300 | + | 0.307034i | ||||
\(105\) | −6.97169 | − | 0.310447i | −0.680367 | − | 0.0302965i | ||||
\(106\) | −2.23632 | + | 8.34606i | −0.217211 | + | 0.810641i | ||||
\(107\) | 3.21069 | + | 0.860303i | 0.310389 | + | 0.0831686i | 0.410651 | − | 0.911792i | \(-0.365301\pi\) |
−0.100262 | + | 0.994961i | \(0.531968\pi\) | |||||||
\(108\) | 0.258819 | + | 0.965926i | 0.0249049 | + | 0.0929463i | ||||
\(109\) | −8.53927 | + | 8.53927i | −0.817914 | + | 0.817914i | −0.985805 | − | 0.167891i | \(-0.946304\pi\) |
0.167891 | + | 0.985805i | \(0.446304\pi\) | |||||||
\(110\) | −0.782942 | + | 1.22662i | −0.0746505 | + | 0.116954i | ||||
\(111\) | 1.96725 | + | 7.34186i | 0.186723 | + | 0.696859i | ||||
\(112\) | − | 3.12092i | − | 0.294899i | ||||||
\(113\) | −6.59892 | + | 1.76817i | −0.620774 | + | 0.166336i | −0.555480 | − | 0.831530i | \(-0.687465\pi\) |
−0.0652944 | + | 0.997866i | \(0.520799\pi\) | |||||||
\(114\) | 0.510593 | + | 0.884372i | 0.0478214 | + | 0.0828291i | ||||
\(115\) | 2.43434 | + | 4.68625i | 0.227004 | + | 0.436995i | ||||
\(116\) | − | 9.19607i | − | 0.853834i | ||||||
\(117\) | −0.0173697 | + | 3.60551i | −0.00160583 | + | 0.333329i | ||||
\(118\) | 9.36178 | + | 9.36178i | 0.861822 | + | 0.861822i | ||||
\(119\) | −0.263636 | − | 0.0706409i | −0.0241674 | − | 0.00647564i | ||||
\(120\) | 1.98431 | − | 1.03078i | 0.181142 | − | 0.0940970i | ||||
\(121\) | −9.15950 | − | 5.28824i | −0.832682 | − | 0.480749i | ||||
\(122\) | 6.80435 | 0.616037 | ||||||||
\(123\) | −3.01491 | − | 1.74066i | −0.271845 | − | 0.156950i | ||||
\(124\) | 1.92008 | − | 0.514484i | 0.172428 | − | 0.0462020i | ||||
\(125\) | −8.88763 | + | 6.78307i | −0.794934 | + | 0.606696i | ||||
\(126\) | 1.56046 | − | 2.70280i | 0.139017 | − | 0.240784i | ||||
\(127\) | 1.55188 | − | 5.79169i | 0.137707 | − | 0.513930i | −0.862265 | − | 0.506457i | \(-0.830955\pi\) |
0.999972 | − | 0.00747241i | \(-0.00237857\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 10.0748 | 0.887038 | ||||||||
\(130\) | 7.88094 | − | 1.70022i | 0.691204 | − | 0.149119i | ||||
\(131\) | −4.63651 | −0.405094 | −0.202547 | − | 0.979273i | \(-0.564922\pi\) | ||||
−0.202547 | + | 0.979273i | \(0.564922\pi\) | |||||||
\(132\) | −0.325392 | − | 0.563596i | −0.0283218 | − | 0.0490547i | ||||
\(133\) | 0.824867 | − | 3.07844i | 0.0715250 | − | 0.266935i | ||||
\(134\) | 5.42255 | − | 9.39213i | 0.468437 | − | 0.811357i | ||||
\(135\) | 2.23385 | + | 0.0994727i | 0.192260 | + | 0.00856125i | ||||
\(136\) | 0.0844736 | − | 0.0226346i | 0.00724355 | − | 0.00194090i | ||||
\(137\) | −9.18440 | − | 5.30261i | −0.784676 | − | 0.453033i | 0.0534088 | − | 0.998573i | \(-0.482991\pi\) |
−0.838085 | + | 0.545540i | \(0.816325\pi\) | |||||||
\(138\) | −2.36165 | −0.201037 | ||||||||
\(139\) | 14.2433 | + | 8.22339i | 1.20810 | + | 0.697499i | 0.962345 | − | 0.271832i | \(-0.0876294\pi\) |
0.245759 | + | 0.969331i | \(0.420963\pi\) | |||||||
\(140\) | −6.65378 | − | 2.10427i | −0.562347 | − | 0.177844i | ||||
\(141\) | 4.58062 | + | 1.22737i | 0.385758 | + | 0.103364i | ||||
\(142\) | 9.52248 | + | 9.52248i | 0.799108 | + | 0.799108i | ||||
\(143\) | −0.596377 | − | 2.26938i | −0.0498715 | − | 0.189775i | ||||
\(144\) | 1.00000i | 0.0833333i | ||||||||
\(145\) | −19.6060 | − | 6.20043i | −1.62819 | − | 0.514917i | ||||
\(146\) | −1.22580 | − | 2.12314i | −0.101448 | − | 0.175712i | ||||
\(147\) | −2.64679 | + | 0.709205i | −0.218304 | + | 0.0584943i | ||||
\(148\) | 7.60086i | 0.624786i | ||||||||
\(149\) | −3.53174 | − | 13.1806i | −0.289331 | − | 1.07980i | −0.945616 | − | 0.325286i | \(-0.894539\pi\) |
0.656284 | − | 0.754514i | \(-0.272127\pi\) | |||||||
\(150\) | −0.859701 | − | 4.92554i | −0.0701943 | − | 0.402168i | ||||
\(151\) | −11.3033 | + | 11.3033i | −0.919852 | + | 0.919852i | −0.997018 | − | 0.0771662i | \(-0.975413\pi\) |
0.0771662 | + | 0.997018i | \(0.475413\pi\) | |||||||
\(152\) | 0.264302 | + | 0.986389i | 0.0214377 | + | 0.0800067i | ||||
\(153\) | 0.0844736 | + | 0.0226346i | 0.00682928 | + | 0.00182990i | ||||
\(154\) | −0.525674 | + | 1.96184i | −0.0423600 | + | 0.158090i | ||||
\(155\) | 0.197733 | − | 4.44049i | 0.0158823 | − | 0.356668i | ||||
\(156\) | −0.949952 | + | 3.47816i | −0.0760571 | + | 0.278476i | ||||
\(157\) | 2.26173 | − | 2.26173i | 0.180506 | − | 0.180506i | −0.611070 | − | 0.791576i | \(-0.709261\pi\) |
0.791576 | + | 0.611070i | \(0.209261\pi\) | |||||||
\(158\) | −9.04413 | + | 5.22163i | −0.719513 | + | 0.415411i | ||||
\(159\) | −7.48287 | + | 4.32024i | −0.593430 | + | 0.342617i | ||||
\(160\) | 2.18348 | − | 0.482081i | 0.172619 | − | 0.0381118i | ||||
\(161\) | 5.21175 | + | 5.21175i | 0.410743 | + | 0.410743i | ||||
\(162\) | −0.500000 | + | 0.866025i | −0.0392837 | + | 0.0680414i | ||||
\(163\) | 7.91529 | − | 13.7097i | 0.619973 | − | 1.07383i | −0.369517 | − | 0.929224i | \(-0.620477\pi\) |
0.989490 | − | 0.144601i | \(-0.0461899\pi\) | |||||||
\(164\) | −2.46166 | − | 2.46166i | −0.192224 | − | 0.192224i | ||||
\(165\) | −1.42098 | + | 0.313731i | −0.110623 | + | 0.0244239i | ||||
\(166\) | −1.31070 | + | 0.756731i | −0.101730 | + | 0.0587337i | ||||
\(167\) | −15.5369 | + | 8.97024i | −1.20228 | + | 0.694138i | −0.961062 | − | 0.276332i | \(-0.910881\pi\) |
−0.241221 | + | 0.970470i | \(0.577548\pi\) | |||||||
\(168\) | 2.20683 | − | 2.20683i | 0.170260 | − | 0.170260i | ||||
\(169\) | −6.60817 | + | 11.1952i | −0.508321 | + | 0.861168i | ||||
\(170\) | 0.00869924 | − | 0.195358i | 0.000667201 | − | 0.0149833i | ||||
\(171\) | −0.264302 | + | 0.986389i | −0.0202117 | + | 0.0754311i | ||||
\(172\) | 9.73152 | + | 2.60755i | 0.742021 | + | 0.198824i | ||||
\(173\) | 0.0850494 | + | 0.317409i | 0.00646619 | + | 0.0241321i | 0.969084 | − | 0.246733i | \(-0.0793570\pi\) |
−0.962617 | + | 0.270865i | \(0.912690\pi\) | |||||||
\(174\) | 6.50261 | − | 6.50261i | 0.492961 | − | 0.492961i | ||||
\(175\) | −8.97259 | + | 12.7670i | −0.678264 | + | 0.965095i | ||||
\(176\) | −0.168435 | − | 0.628610i | −0.0126963 | − | 0.0473832i | ||||
\(177\) | 13.2396i | 0.995147i | ||||||||
\(178\) | −18.0823 | + | 4.84513i | −1.35532 | + | 0.363158i | ||||
\(179\) | −10.9575 | − | 18.9789i | −0.819001 | − | 1.41855i | −0.906419 | − | 0.422380i | \(-0.861195\pi\) |
0.0874180 | − | 0.996172i | \(-0.472138\pi\) | |||||||
\(180\) | 2.13199 | + | 0.674247i | 0.158909 | + | 0.0502554i | ||||
\(181\) | − | 6.11180i | − | 0.454286i | −0.973861 | − | 0.227143i | \(-0.927061\pi\) | ||
0.973861 | − | 0.227143i | \(-0.0729385\pi\) | |||||||
\(182\) | 9.77207 | − | 5.57931i | 0.724354 | − | 0.413566i | ||||
\(183\) | 4.81140 | + | 4.81140i | 0.355669 | + | 0.355669i | ||||
\(184\) | −2.28118 | − | 0.611240i | −0.168171 | − | 0.0450612i | ||||
\(185\) | 16.2050 | + | 5.12486i | 1.19141 | + | 0.376787i | ||||
\(186\) | 1.72150 | + | 0.993907i | 0.126226 | + | 0.0728768i | ||||
\(187\) | −0.0569134 | −0.00416192 | ||||||||
\(188\) | 4.10687 | + | 2.37110i | 0.299525 | + | 0.172931i | ||||
\(189\) | 3.01458 | − | 0.807754i | 0.219278 | − | 0.0587555i | ||||
\(190\) | 2.28118 | + | 0.101580i | 0.165494 | + | 0.00736939i | ||||
\(191\) | −2.41078 | + | 4.17559i | −0.174438 | + | 0.302135i | −0.939966 | − | 0.341267i | \(-0.889144\pi\) |
0.765529 | + | 0.643401i | \(0.222477\pi\) | |||||||
\(192\) | −0.258819 | + | 0.965926i | −0.0186787 | + | 0.0697097i | ||||
\(193\) | −1.53169 | − | 2.65297i | −0.110254 | − | 0.190965i | 0.805619 | − | 0.592434i | \(-0.201833\pi\) |
−0.915872 | + | 0.401469i | \(0.868500\pi\) | |||||||
\(194\) | 5.11701 | 0.367380 | ||||||||
\(195\) | 6.77491 | + | 4.37043i | 0.485161 | + | 0.312973i | ||||
\(196\) | −2.74016 | −0.195726 | ||||||||
\(197\) | 1.03318 | + | 1.78952i | 0.0736108 | + | 0.127498i | 0.900481 | − | 0.434895i | \(-0.143214\pi\) |
−0.826871 | + | 0.562392i | \(0.809881\pi\) | |||||||
\(198\) | 0.168435 | − | 0.628610i | 0.0119702 | − | 0.0446733i | ||||
\(199\) | 2.09521 | − | 3.62902i | 0.148526 | − | 0.257254i | −0.782157 | − | 0.623081i | \(-0.785881\pi\) |
0.930683 | + | 0.365827i | \(0.119214\pi\) | |||||||
\(200\) | 0.444415 | − | 4.98021i | 0.0314249 | − | 0.352154i | ||||
\(201\) | 10.4756 | − | 2.80692i | 0.738889 | − | 0.197985i | ||||
\(202\) | 3.59747 | + | 2.07700i | 0.253117 | + | 0.146137i | ||||
\(203\) | −28.7002 | −2.01436 | ||||||||
\(204\) | 0.0757369 | + | 0.0437267i | 0.00530265 | + | 0.00306148i | ||||
\(205\) | −6.90802 | + | 3.58848i | −0.482477 | + | 0.250630i | ||||
\(206\) | 12.1453 | + | 3.25432i | 0.846202 | + | 0.226739i | ||||
\(207\) | −1.66994 | − | 1.66994i | −0.116069 | − | 0.116069i | ||||
\(208\) | −1.81780 | + | 3.11378i | −0.126042 | + | 0.215902i | ||||
\(209\) | − | 0.664572i | − | 0.0459694i | ||||||
\(210\) | −3.21699 | − | 6.19288i | −0.221993 | − | 0.427349i | ||||
\(211\) | 6.34508 | + | 10.9900i | 0.436813 | + | 0.756583i | 0.997442 | − | 0.0714847i | \(-0.0227737\pi\) |
−0.560628 | + | 0.828068i | \(0.689440\pi\) | |||||||
\(212\) | −8.34606 | + | 2.23632i | −0.573210 | + | 0.153591i | ||||
\(213\) | 13.4668i | 0.922731i | ||||||||
\(214\) | 0.860303 | + | 3.21069i | 0.0588091 | + | 0.219478i | ||||
\(215\) | 12.1207 | − | 18.9894i | 0.826627 | − | 1.29507i | ||||
\(216\) | −0.707107 | + | 0.707107i | −0.0481125 | + | 0.0481125i | ||||
\(217\) | −1.60567 | − | 5.99242i | −0.109000 | − | 0.406792i | ||||
\(218\) | −11.6649 | − | 3.12559i | −0.790044 | − | 0.211692i | ||||
\(219\) | 0.634519 | − | 2.36806i | 0.0428768 | − | 0.160018i | ||||
\(220\) | −1.45376 | − | 0.0647353i | −0.0980124 | − | 0.00436445i | ||||
\(221\) | 0.221887 | + | 0.224035i | 0.0149257 | + | 0.0150702i | ||||
\(222\) | −5.37462 | + | 5.37462i | −0.360721 | + | 0.360721i | ||||
\(223\) | −12.4074 | + | 7.16344i | −0.830863 | + | 0.479699i | −0.854148 | − | 0.520030i | \(-0.825921\pi\) |
0.0232849 | + | 0.999729i | \(0.492588\pi\) | |||||||
\(224\) | 2.70280 | − | 1.56046i | 0.180588 | − | 0.104263i | ||||
\(225\) | 2.87498 | − | 4.09078i | 0.191665 | − | 0.272719i | ||||
\(226\) | −4.83074 | − | 4.83074i | −0.321336 | − | 0.321336i | ||||
\(227\) | −8.50979 | + | 14.7394i | −0.564815 | + | 0.978288i | 0.432252 | + | 0.901753i | \(0.357719\pi\) |
−0.997067 | + | 0.0765352i | \(0.975614\pi\) | |||||||
\(228\) | −0.510593 | + | 0.884372i | −0.0338148 | + | 0.0585690i | ||||
\(229\) | −11.8234 | − | 11.8234i | −0.781309 | − | 0.781309i | 0.198742 | − | 0.980052i | \(-0.436314\pi\) |
−0.980052 | + | 0.198742i | \(0.936314\pi\) | |||||||
\(230\) | −2.84124 | + | 4.45133i | −0.187346 | + | 0.293512i | ||||
\(231\) | −1.75894 | + | 1.01552i | −0.115730 | + | 0.0668166i | ||||
\(232\) | 7.96403 | − | 4.59804i | 0.522864 | − | 0.301876i | ||||
\(233\) | −1.14372 | + | 1.14372i | −0.0749275 | + | 0.0749275i | −0.743577 | − | 0.668650i | \(-0.766873\pi\) |
0.668650 | + | 0.743577i | \(0.266873\pi\) | |||||||
\(234\) | −3.13115 | + | 1.78771i | −0.204690 | + | 0.116866i | ||||
\(235\) | 7.82423 | − | 7.15711i | 0.510396 | − | 0.466878i | ||||
\(236\) | −3.42665 | + | 12.7884i | −0.223056 | + | 0.832456i | ||||
\(237\) | −10.0874 | − | 2.70292i | −0.655248 | − | 0.175573i | ||||
\(238\) | −0.0706409 | − | 0.263636i | −0.00457897 | − | 0.0170890i | ||||
\(239\) | 0.186214 | − | 0.186214i | 0.0120452 | − | 0.0120452i | −0.701059 | − | 0.713104i | \(-0.747289\pi\) |
0.713104 | + | 0.701059i | \(0.247289\pi\) | |||||||
\(240\) | 1.88484 | + | 1.20307i | 0.121666 | + | 0.0776580i | ||||
\(241\) | 6.98567 | + | 26.0709i | 0.449987 | + | 1.67937i | 0.702423 | + | 0.711759i | \(0.252101\pi\) |
−0.252437 | + | 0.967613i | \(0.581232\pi\) | |||||||
\(242\) | − | 10.5765i | − | 0.679882i | ||||||
\(243\) | −0.965926 | + | 0.258819i | −0.0619642 | + | 0.0166032i | ||||
\(244\) | 3.40217 | + | 5.89274i | 0.217802 | + | 0.377244i | ||||
\(245\) | −1.84754 | + | 5.84200i | −0.118035 | + | 0.373232i | ||||
\(246\) | − | 3.48132i | − | 0.221961i | ||||||
\(247\) | −2.61603 | + | 2.59095i | −0.166454 | + | 0.164858i | ||||
\(248\) | 1.40560 | + | 1.40560i | 0.0892555 | + | 0.0892555i | ||||
\(249\) | −1.46189 | − | 0.391713i | −0.0926436 | − | 0.0248238i | ||||
\(250\) | −10.3181 | − | 4.30538i | −0.652575 | − | 0.272296i | ||||
\(251\) | −1.82325 | − | 1.05266i | −0.115083 | − | 0.0664430i | 0.441354 | − | 0.897333i | \(-0.354498\pi\) |
−0.556436 | + | 0.830890i | \(0.687832\pi\) | |||||||
\(252\) | 3.12092 | 0.196600 | ||||||||
\(253\) | 1.33102 | + | 0.768463i | 0.0836803 | + | 0.0483128i | ||||
\(254\) | 5.79169 | − | 1.55188i | 0.363403 | − | 0.0973736i | ||||
\(255\) | 0.144291 | − | 0.131988i | 0.00903582 | − | 0.00826541i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −2.98037 | + | 11.1229i | −0.185910 | + | 0.693827i | 0.808523 | + | 0.588464i | \(0.200267\pi\) |
−0.994434 | + | 0.105363i | \(0.966400\pi\) | |||||||
\(258\) | 5.03741 | + | 8.72504i | 0.313615 | + | 0.543197i | ||||
\(259\) | 23.7217 | 1.47399 | ||||||||
\(260\) | 5.41291 | + | 5.97499i | 0.335694 | + | 0.370553i | ||||
\(261\) | 9.19607 | 0.569223 | ||||||||
\(262\) | −2.31825 | − | 4.01534i | −0.143222 | − | 0.248068i | ||||
\(263\) | −0.193354 | + | 0.721608i | −0.0119227 | + | 0.0444963i | −0.971631 | − | 0.236502i | \(-0.923999\pi\) |
0.959708 | + | 0.280999i | \(0.0906656\pi\) | |||||||
\(264\) | 0.325392 | − | 0.563596i | 0.0200265 | − | 0.0346869i | ||||
\(265\) | −0.859491 | + | 19.3016i | −0.0527981 | + | 1.18569i | ||||
\(266\) | 3.07844 | − | 0.824867i | 0.188752 | − | 0.0505758i | ||||
\(267\) | −16.2121 | − | 9.36007i | −0.992165 | − | 0.572827i | ||||
\(268\) | 10.8451 | 0.662470 | ||||||||
\(269\) | −13.5976 | − | 7.85055i | −0.829058 | − | 0.478657i | 0.0244723 | − | 0.999701i | \(-0.492209\pi\) |
−0.853530 | + | 0.521044i | \(0.825543\pi\) | |||||||
\(270\) | 1.03078 | + | 1.98431i | 0.0627313 | + | 0.120761i | ||||
\(271\) | −8.22569 | − | 2.20407i | −0.499675 | − | 0.133888i | 0.000173978 | − | 1.00000i | \(-0.499945\pi\) |
−0.499849 | + | 0.866112i | \(0.666611\pi\) | |||||||
\(272\) | 0.0618390 | + | 0.0618390i | 0.00374954 | + | 0.00374954i | ||||
\(273\) | 10.8551 | + | 2.96473i | 0.656978 | + | 0.179433i | ||||
\(274\) | − | 10.6052i | − | 0.640685i | ||||||
\(275\) | −1.11821 | + | 3.05575i | −0.0674305 | + | 0.184269i | ||||
\(276\) | −1.18083 | − | 2.04525i | −0.0710773 | − | 0.123110i | ||||
\(277\) | 3.82420 | − | 1.02469i | 0.229774 | − | 0.0615677i | −0.142095 | − | 0.989853i | \(-0.545384\pi\) |
0.371869 | + | 0.928285i | \(0.378717\pi\) | |||||||
\(278\) | 16.4468i | 0.986413i | ||||||||
\(279\) | 0.514484 | + | 1.92008i | 0.0308014 | + | 0.114952i | ||||
\(280\) | −1.50454 | − | 6.81448i | −0.0899133 | − | 0.407243i | ||||
\(281\) | −16.6714 | + | 16.6714i | −0.994534 | + | 0.994534i | −0.999985 | − | 0.00545067i | \(-0.998265\pi\) |
0.00545067 | + | 0.999985i | \(0.498265\pi\) | |||||||
\(282\) | 1.22737 | + | 4.58062i | 0.0730891 | + | 0.272772i | ||||
\(283\) | 29.8822 | + | 8.00692i | 1.77631 | + | 0.475962i | 0.989903 | − | 0.141743i | \(-0.0452707\pi\) |
0.786410 | + | 0.617705i | \(0.211937\pi\) | |||||||
\(284\) | −3.48547 | + | 13.0079i | −0.206824 | + | 0.771879i | ||||
\(285\) | 1.54121 | + | 1.68487i | 0.0912934 | + | 0.0998028i | ||||
\(286\) | 1.66716 | − | 1.65117i | 0.0985810 | − | 0.0976357i | ||||
\(287\) | −7.68266 | + | 7.68266i | −0.453493 | + | 0.453493i | ||||
\(288\) | −0.866025 | + | 0.500000i | −0.0510310 | + | 0.0294628i | ||||
\(289\) | −14.7158 | + | 8.49618i | −0.865636 | + | 0.499775i | ||||
\(290\) | −4.43325 | − | 20.0795i | −0.260329 | − | 1.17911i | ||||
\(291\) | 3.61828 | + | 3.61828i | 0.212107 | + | 0.212107i | ||||
\(292\) | 1.22580 | − | 2.12314i | 0.0717343 | − | 0.124247i | ||||
\(293\) | 10.1707 | − | 17.6162i | 0.594178 | − | 1.02915i | −0.399484 | − | 0.916740i | \(-0.630811\pi\) |
0.993662 | − | 0.112407i | \(-0.0358560\pi\) | |||||||
\(294\) | −1.93758 | − | 1.93758i | −0.113002 | − | 0.113002i | ||||
\(295\) | 24.9544 | + | 15.9282i | 1.45290 | + | 0.927373i | ||||
\(296\) | −6.58253 | + | 3.80043i | −0.382602 | + | 0.220895i | ||||
\(297\) | 0.563596 | − | 0.325392i | 0.0327032 | − | 0.0188812i | ||||
\(298\) | 9.64889 | − | 9.64889i | 0.558945 | − | 0.558945i | ||||
\(299\) | −2.16421 | − | 8.23543i | −0.125159 | − | 0.476267i | ||||
\(300\) | 3.83579 | − | 3.20729i | 0.221459 | − | 0.185173i | ||||
\(301\) | 8.13797 | − | 30.3713i | 0.469065 | − | 1.75057i | ||||
\(302\) | −15.4406 | − | 4.13731i | −0.888509 | − | 0.238075i | ||||
\(303\) | 1.07513 | + | 4.01245i | 0.0617648 | + | 0.230509i | ||||
\(304\) | −0.722087 | + | 0.722087i | −0.0414145 | + | 0.0414145i | ||||
\(305\) | 14.8572 | − | 3.28025i | 0.850720 | − | 0.187826i | ||||
\(306\) | 0.0226346 | + | 0.0844736i | 0.00129394 | + | 0.00482903i | ||||
\(307\) | − | 14.2902i | − | 0.815585i | −0.913075 | − | 0.407792i | \(-0.866299\pi\) | ||
0.913075 | − | 0.407792i | \(-0.133701\pi\) | |||||||
\(308\) | −1.96184 | + | 0.525674i | −0.111786 | + | 0.0299531i | ||||
\(309\) | 6.28686 | + | 10.8892i | 0.357647 | + | 0.619463i | ||||
\(310\) | 3.94444 | − | 2.04900i | 0.224029 | − | 0.116375i | ||||
\(311\) | − | 24.6571i | − | 1.39818i | −0.715034 | − | 0.699089i | \(-0.753589\pi\) | ||
0.715034 | − | 0.699089i | \(-0.246411\pi\) | |||||||
\(312\) | −3.48715 | + | 0.916397i | −0.197421 | + | 0.0518807i | ||||
\(313\) | 3.71347 | + | 3.71347i | 0.209898 | + | 0.209898i | 0.804224 | − | 0.594326i | \(-0.202581\pi\) |
−0.594326 | + | 0.804224i | \(0.702581\pi\) | |||||||
\(314\) | 3.08959 | + | 0.827852i | 0.174355 | + | 0.0467184i | ||||
\(315\) | 2.10427 | − | 6.65378i | 0.118562 | − | 0.374898i | ||||
\(316\) | −9.04413 | − | 5.22163i | −0.508772 | − | 0.293740i | ||||
\(317\) | −10.2414 | −0.575212 | −0.287606 | − | 0.957749i | \(-0.592859\pi\) | ||||
−0.287606 | + | 0.957749i | \(0.592859\pi\) | |||||||
\(318\) | −7.48287 | − | 4.32024i | −0.419619 | − | 0.242267i | ||||
\(319\) | −5.78074 | + | 1.54894i | −0.323659 | + | 0.0867243i | ||||
\(320\) | 1.50924 | + | 1.64991i | 0.0843688 | + | 0.0922329i | ||||
\(321\) | −1.66198 | + | 2.87863i | −0.0927625 | + | 0.160669i | ||||
\(322\) | −1.90763 | + | 7.11938i | −0.106308 | + | 0.396748i | ||||
\(323\) | 0.0446531 | + | 0.0773414i | 0.00248457 | + | 0.00430339i | ||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | 16.3883 | − | 7.51165i | 0.909057 | − | 0.416672i | ||||
\(326\) | 15.8306 | 0.876775 | ||||||||
\(327\) | −6.03818 | − | 10.4584i | −0.333912 | − | 0.578353i | ||||
\(328\) | 0.901032 | − | 3.36270i | 0.0497512 | − | 0.185674i | ||||
\(329\) | 7.40003 | − | 12.8172i | 0.407977 | − | 0.706637i | ||||
\(330\) | −0.982187 | − | 1.07374i | −0.0540676 | − | 0.0591073i | ||||
\(331\) | −22.3557 | + | 5.99019i | −1.22878 | + | 0.329251i | −0.814105 | − | 0.580718i | \(-0.802772\pi\) |
−0.414676 | + | 0.909969i | \(0.636105\pi\) | |||||||
\(332\) | −1.31070 | − | 0.756731i | −0.0719338 | − | 0.0415310i | ||||
\(333\) | −7.60086 | −0.416524 | ||||||||
\(334\) | −15.5369 | − | 8.97024i | −0.850142 | − | 0.490830i | ||||
\(335\) | 7.31228 | − | 23.1217i | 0.399513 | − | 1.26327i | ||||
\(336\) | 3.01458 | + | 0.807754i | 0.164459 | + | 0.0440666i | ||||
\(337\) | 18.6883 | + | 18.6883i | 1.01801 | + | 1.01801i | 0.999835 | + | 0.0181791i | \(0.00578691\pi\) |
0.0181791 | + | 0.999835i | \(0.494213\pi\) | |||||||
\(338\) | −12.9994 | − | 0.125253i | −0.707074 | − | 0.00681286i | ||||
\(339\) | − | 6.83170i | − | 0.371047i | ||||||
\(340\) | 0.173535 | − | 0.0901454i | 0.00941125 | − | 0.00488882i | ||||
\(341\) | −0.646819 | − | 1.12032i | −0.0350272 | − | 0.0606690i | ||||
\(342\) | −0.986389 | + | 0.264302i | −0.0533378 | + | 0.0142918i | ||||
\(343\) | − | 13.2946i | − | 0.717843i | ||||||
\(344\) | 2.60755 | + | 9.73152i | 0.140590 | + | 0.524688i | ||||
\(345\) | −5.15662 | + | 1.13851i | −0.277623 | + | 0.0612951i | ||||
\(346\) | −0.232359 | + | 0.232359i | −0.0124917 | + | 0.0124917i | ||||
\(347\) | −5.12493 | − | 19.1265i | −0.275121 | − | 1.02676i | −0.955761 | − | 0.294146i | \(-0.904965\pi\) |
0.680640 | − | 0.732618i | \(-0.261702\pi\) | |||||||
\(348\) | 8.88272 | + | 2.38012i | 0.476164 | + | 0.127588i | ||||
\(349\) | 0.0805064 | − | 0.300454i | 0.00430941 | − | 0.0160829i | −0.963738 | − | 0.266852i | \(-0.914017\pi\) |
0.968047 | + | 0.250769i | \(0.0806833\pi\) | |||||||
\(350\) | −15.5429 | − | 1.38699i | −0.830800 | − | 0.0741375i | ||||
\(351\) | −3.47816 | − | 0.949952i | −0.185650 | − | 0.0507047i | ||||
\(352\) | 0.460174 | − | 0.460174i | 0.0245274 | − | 0.0245274i | ||||
\(353\) | 25.7121 | − | 14.8449i | 1.36852 | − | 0.790114i | 0.377779 | − | 0.925896i | \(-0.376688\pi\) |
0.990739 | + | 0.135782i | \(0.0433546\pi\) | |||||||
\(354\) | −11.4658 | + | 6.61978i | −0.609400 | + | 0.351837i | ||||
\(355\) | 25.3828 | + | 16.2016i | 1.34718 | + | 0.859890i | ||||
\(356\) | −13.2371 | − | 13.2371i | −0.701567 | − | 0.701567i | ||||
\(357\) | 0.136468 | − | 0.236369i | 0.00722264 | − | 0.0125100i | ||||
\(358\) | 10.9575 | − | 18.9789i | 0.579121 | − | 1.00307i | ||||
\(359\) | −24.4058 | − | 24.4058i | −1.28809 | − | 1.28809i | −0.935946 | − | 0.352143i | \(-0.885453\pi\) |
−0.352143 | − | 0.935946i | \(-0.614547\pi\) | |||||||
\(360\) | 0.482081 | + | 2.18348i | 0.0254079 | + | 0.115080i | ||||
\(361\) | 15.5514 | − | 8.97859i | 0.818493 | − | 0.472557i | ||||
\(362\) | 5.29297 | − | 3.05590i | 0.278192 | − | 0.160614i | ||||
\(363\) | 7.47870 | − | 7.47870i | 0.392530 | − | 0.392530i | ||||
\(364\) | 9.71786 | + | 5.67320i | 0.509354 | + | 0.297357i | ||||
\(365\) | −3.70003 | − | 4.04491i | −0.193669 | − | 0.211720i | ||||
\(366\) | −1.76110 | + | 6.57250i | −0.0920539 | + | 0.343550i | ||||
\(367\) | 29.7480 | + | 7.97094i | 1.55283 | + | 0.416080i | 0.930385 | − | 0.366584i | \(-0.119473\pi\) |
0.622445 | + | 0.782663i | \(0.286139\pi\) | |||||||
\(368\) | −0.611240 | − | 2.28118i | −0.0318631 | − | 0.118915i | ||||
\(369\) | 2.46166 | − | 2.46166i | 0.128149 | − | 0.128149i | ||||
\(370\) | 3.66423 | + | 16.5963i | 0.190494 | + | 0.862803i | ||||
\(371\) | 6.97938 | + | 26.0474i | 0.362351 | + | 1.35231i | ||||
\(372\) | 1.98781i | 0.103063i | ||||||||
\(373\) | −1.75531 | + | 0.470335i | −0.0908867 | + | 0.0243530i | −0.303976 | − | 0.952680i | \(-0.598314\pi\) |
0.213089 | + | 0.977033i | \(0.431648\pi\) | |||||||
\(374\) | −0.0284567 | − | 0.0492884i | −0.00147146 | − | 0.00254864i | ||||
\(375\) | −4.25165 | − | 10.3404i | −0.219554 | − | 0.533975i | ||||
\(376\) | 4.74221i | 0.244561i | ||||||||
\(377\) | 28.6345 | + | 16.7166i | 1.47475 | + | 0.860948i | ||||
\(378\) | 2.20683 | + | 2.20683i | 0.113507 | + | 0.113507i | ||||
\(379\) | 6.00997 | + | 1.61037i | 0.308712 | + | 0.0827190i | 0.409849 | − | 0.912153i | \(-0.365581\pi\) |
−0.101137 | + | 0.994872i | \(0.532248\pi\) | |||||||
\(380\) | 1.05262 | + | 2.02635i | 0.0539982 | + | 0.103950i | ||||
\(381\) | 5.19269 | + | 2.99800i | 0.266030 | + | 0.153592i | ||||
\(382\) | −4.82155 | −0.246692 | ||||||||
\(383\) | −0.919738 | − | 0.531011i | −0.0469964 | − | 0.0271334i | 0.476318 | − | 0.879273i | \(-0.341971\pi\) |
−0.523314 | + | 0.852140i | \(0.675305\pi\) | |||||||
\(384\) | −0.965926 | + | 0.258819i | −0.0492922 | + | 0.0132078i | ||||
\(385\) | −0.202034 | + | 4.53707i | −0.0102966 | + | 0.231230i | ||||
\(386\) | 1.53169 | − | 2.65297i | 0.0779611 | − | 0.135033i | ||||
\(387\) | −2.60755 | + | 9.73152i | −0.132549 | + | 0.494681i | ||||
\(388\) | 2.55851 | + | 4.43146i | 0.129889 | + | 0.224974i | ||||
\(389\) | −32.8035 | −1.66320 | −0.831602 | − | 0.555372i | \(-0.812576\pi\) | ||||
−0.831602 | + | 0.555372i | \(0.812576\pi\) | |||||||
\(390\) | −0.397451 | + | 8.05246i | −0.0201257 | + | 0.407752i | ||||
\(391\) | −0.206535 | −0.0104449 | ||||||||
\(392\) | −1.37008 | − | 2.37305i | −0.0691995 | − | 0.119857i | ||||
\(393\) | 1.20002 | − | 4.47852i | 0.0605329 | − | 0.225912i | ||||
\(394\) | −1.03318 | + | 1.78952i | −0.0520507 | + | 0.0901545i | ||||
\(395\) | −17.2305 | + | 15.7614i | −0.866959 | + | 0.793040i | ||||
\(396\) | 0.628610 | − | 0.168435i | 0.0315888 | − | 0.00846420i | ||||
\(397\) | −32.3861 | − | 18.6981i | −1.62541 | − | 0.938431i | −0.985439 | − | 0.170031i | \(-0.945613\pi\) |
−0.639971 | − | 0.768399i | \(-0.721054\pi\) | |||||||
\(398\) | 4.19043 | 0.210047 | ||||||||
\(399\) | 2.76006 | + | 1.59352i | 0.138176 | + | 0.0797758i | ||||
\(400\) | 4.53520 | − | 2.10523i | 0.226760 | − | 0.105262i | ||||
\(401\) | −0.873330 | − | 0.234008i | −0.0436120 | − | 0.0116858i | 0.236947 | − | 0.971523i | \(-0.423853\pi\) |
−0.280559 | + | 0.959837i | \(0.590520\pi\) | |||||||
\(402\) | 7.66865 | + | 7.66865i | 0.382477 | + | 0.382477i | ||||
\(403\) | −1.88833 | + | 6.91393i | −0.0940643 | + | 0.344408i | ||||
\(404\) | 4.15400i | 0.206669i | ||||||||
\(405\) | −0.674247 | + | 2.13199i | −0.0335036 | + | 0.105940i | ||||
\(406\) | −14.3501 | − | 24.8551i | −0.712184 | − | 1.23354i | ||||
\(407\) | 4.77797 | − | 1.28025i | 0.236835 | − | 0.0634598i | ||||
\(408\) | 0.0874535i | 0.00432959i | ||||||||
\(409\) | −6.85691 | − | 25.5903i | −0.339052 | − | 1.26536i | −0.899409 | − | 0.437109i | \(-0.856002\pi\) |
0.560356 | − | 0.828252i | \(-0.310664\pi\) | |||||||
\(410\) | −6.56172 | − | 4.18828i | −0.324060 | − | 0.206844i | ||||
\(411\) | 7.49903 | − | 7.49903i | 0.369900 | − | 0.369900i | ||||
\(412\) | 3.25432 | + | 12.1453i | 0.160329 | + | 0.598355i | ||||
\(413\) | 39.9117 | + | 10.6943i | 1.96393 | + | 0.526233i | ||||
\(414\) | 0.611240 | − | 2.28118i | 0.0300408 | − | 0.112114i | ||||
\(415\) | −2.49708 | + | 2.28417i | −0.122577 | + | 0.112126i | ||||
\(416\) | −3.60551 | − | 0.0173697i | −0.176775 | − | 0.000851617i | ||||
\(417\) | −11.6296 | + | 11.6296i | −0.569506 | + | 0.569506i | ||||
\(418\) | 0.575536 | − | 0.332286i | 0.0281504 | − | 0.0162526i | ||||
\(419\) | 9.10788 | − | 5.25844i | 0.444949 | − | 0.256891i | −0.260746 | − | 0.965408i | \(-0.583968\pi\) |
0.705695 | + | 0.708516i | \(0.250635\pi\) | |||||||
\(420\) | 3.75470 | − | 5.88243i | 0.183211 | − | 0.287033i | ||||
\(421\) | 2.06316 | + | 2.06316i | 0.100552 | + | 0.100552i | 0.755593 | − | 0.655041i | \(-0.227349\pi\) |
−0.655041 | + | 0.755593i | \(0.727349\pi\) | |||||||
\(422\) | −6.34508 | + | 10.9900i | −0.308874 | + | 0.534985i | ||||
\(423\) | −2.37110 | + | 4.10687i | −0.115287 | + | 0.199683i | ||||
\(424\) | −6.10974 | − | 6.10974i | −0.296715 | − | 0.296715i | ||||
\(425\) | −0.0751839 | − | 0.430755i | −0.00364695 | − | 0.0208947i | ||||
\(426\) | −11.6626 | + | 6.73341i | −0.565055 | + | 0.326235i | ||||
\(427\) | 18.3908 | − | 10.6179i | 0.889992 | − | 0.513837i | ||||
\(428\) | −2.35039 | + | 2.35039i | −0.113610 | + | 0.113610i | ||||
\(429\) | 2.34641 | + | 0.0113039i | 0.113286 | + | 0.000545758i | ||||
\(430\) | 22.5057 | + | 1.00217i | 1.08532 | + | 0.0483289i | ||||
\(431\) | −4.66334 | + | 17.4038i | −0.224625 | + | 0.838313i | 0.757929 | + | 0.652337i | \(0.226211\pi\) |
−0.982554 | + | 0.185976i | \(0.940455\pi\) | |||||||
\(432\) | −0.965926 | − | 0.258819i | −0.0464731 | − | 0.0124524i | ||||
\(433\) | −9.13438 | − | 34.0900i | −0.438970 | − | 1.63826i | −0.731383 | − | 0.681967i | \(-0.761125\pi\) |
0.292413 | − | 0.956292i | \(-0.405542\pi\) | |||||||
\(434\) | 4.38676 | − | 4.38676i | 0.210571 | − | 0.210571i | ||||
\(435\) | 11.0635 | − | 17.3331i | 0.530456 | − | 0.831059i | ||||
\(436\) | −3.12559 | − | 11.6649i | −0.149689 | − | 0.558646i | ||||
\(437\) | − | 2.41168i | − | 0.115366i | ||||||
\(438\) | 2.36806 | − | 0.634519i | 0.113150 | − | 0.0303185i | ||||
\(439\) | −2.75416 | − | 4.77035i | −0.131449 | − | 0.227677i | 0.792786 | − | 0.609500i | \(-0.208630\pi\) |
−0.924235 | + | 0.381823i | \(0.875296\pi\) | |||||||
\(440\) | −0.670817 | − | 1.29136i | −0.0319799 | − | 0.0615631i | ||||
\(441\) | − | 2.74016i | − | 0.130484i | ||||||
\(442\) | −0.0830766 | + | 0.304177i | −0.00395155 | + | 0.0144682i | ||||
\(443\) | 1.58762 | + | 1.58762i | 0.0754302 | + | 0.0754302i | 0.743815 | − | 0.668385i | \(-0.233014\pi\) |
−0.668385 | + | 0.743815i | \(0.733014\pi\) | |||||||
\(444\) | −7.34186 | − | 1.96725i | −0.348429 | − | 0.0933614i | ||||
\(445\) | −37.1466 | + | 19.2964i | −1.76092 | + | 0.914736i | ||||
\(446\) | −12.4074 | − | 7.16344i | −0.587509 | − | 0.339199i | ||||
\(447\) | 13.6456 | 0.645415 | ||||||||
\(448\) | 2.70280 | + | 1.56046i | 0.127695 | + | 0.0737249i | ||||
\(449\) | 27.8644 | − | 7.46623i | 1.31500 | − | 0.352353i | 0.467898 | − | 0.883782i | \(-0.345011\pi\) |
0.847103 | + | 0.531429i | \(0.178345\pi\) | |||||||
\(450\) | 4.98021 | + | 0.444415i | 0.234769 | + | 0.0209499i | ||||
\(451\) | −1.13279 | + | 1.96206i | −0.0533412 | + | 0.0923897i | ||||
\(452\) | 1.76817 | − | 6.59892i | 0.0831679 | − | 0.310387i | ||||
\(453\) | −7.99266 | − | 13.8437i | −0.375528 | − | 0.650434i | ||||
\(454\) | −17.0196 | −0.798769 | ||||||||
\(455\) | 18.6475 | − | 16.8933i | 0.874207 | − | 0.791968i | ||||
\(456\) | −1.02119 | −0.0478214 | ||||||||
\(457\) | 20.0655 | + | 34.7545i | 0.938627 | + | 1.62575i | 0.768036 | + | 0.640407i | \(0.221234\pi\) |
0.170591 | + | 0.985342i | \(0.445432\pi\) | |||||||
\(458\) | 4.32765 | − | 16.1510i | 0.202218 | − | 0.754687i | ||||
\(459\) | −0.0437267 | + | 0.0757369i | −0.00204099 | + | 0.00353510i | ||||
\(460\) | −5.27558 | − | 0.234920i | −0.245975 | − | 0.0109532i | ||||
\(461\) | −16.2685 | + | 4.35912i | −0.757698 | + | 0.203025i | −0.616930 | − | 0.787018i | \(-0.711624\pi\) |
−0.140768 | + | 0.990043i | \(0.544957\pi\) | |||||||
\(462\) | −1.75894 | − | 1.01552i | −0.0818333 | − | 0.0472465i | ||||
\(463\) | −38.5945 | −1.79364 | −0.896818 | − | 0.442399i | \(-0.854128\pi\) | ||||
−0.896818 | + | 0.442399i | \(0.854128\pi\) | |||||||
\(464\) | 7.96403 | + | 4.59804i | 0.369721 | + | 0.213458i | ||||
\(465\) | 4.23800 | + | 1.34028i | 0.196533 | + | 0.0621539i | ||||
\(466\) | −1.56235 | − | 0.418630i | −0.0723744 | − | 0.0193927i | ||||
\(467\) | −15.2256 | − | 15.2256i | −0.704556 | − | 0.704556i | 0.260829 | − | 0.965385i | \(-0.416004\pi\) |
−0.965385 | + | 0.260829i | \(0.916004\pi\) | |||||||
\(468\) | −3.11378 | − | 1.81780i | −0.143934 | − | 0.0840277i | ||||
\(469\) | − | 33.8467i | − | 1.56290i | ||||||
\(470\) | 10.1104 | + | 3.19742i | 0.466356 | + | 0.147486i | ||||
\(471\) | 1.59929 | + | 2.77005i | 0.0736913 | + | 0.127637i | ||||
\(472\) | −12.7884 | + | 3.42665i | −0.588635 | + | 0.157724i | ||||
\(473\) | − | 6.55653i | − | 0.301470i | ||||||
\(474\) | −2.70292 | − | 10.0874i | −0.124149 | − | 0.463331i | ||||
\(475\) | 5.02989 | − | 0.877914i | 0.230787 | − | 0.0402815i | ||||
\(476\) | 0.192995 | − | 0.192995i | 0.00884589 | − | 0.00884589i | ||||
\(477\) | −2.23632 | − | 8.34606i | −0.102394 | − | 0.382140i | ||||
\(478\) | 0.254373 | + | 0.0681589i | 0.0116347 | + | 0.00311752i | ||||
\(479\) | −3.98679 | + | 14.8789i | −0.182161 | + | 0.679835i | 0.813059 | + | 0.582181i | \(0.197800\pi\) |
−0.995220 | + | 0.0976537i | \(0.968866\pi\) | |||||||
\(480\) | −0.0994727 | + | 2.23385i | −0.00454029 | + | 0.101961i | ||||
\(481\) | −23.6674 | − | 13.8168i | −1.07914 | − | 0.629992i | ||||
\(482\) | −19.0852 | + | 19.0852i | −0.869307 | + | 0.869307i | ||||
\(483\) | −6.38306 | + | 3.68526i | −0.290439 | + | 0.167685i | ||||
\(484\) | 9.15950 | − | 5.28824i | 0.416341 | − | 0.240375i | ||||
\(485\) | 11.1729 | − | 2.46681i | 0.507336 | − | 0.112012i | ||||
\(486\) | −0.707107 | − | 0.707107i | −0.0320750 | − | 0.0320750i | ||||
\(487\) | −9.42678 | + | 16.3277i | −0.427168 | + | 0.739877i | −0.996620 | − | 0.0821477i | \(-0.973822\pi\) |
0.569452 | + | 0.822025i | \(0.307155\pi\) | |||||||
\(488\) | −3.40217 | + | 5.89274i | −0.154009 | + | 0.266752i | ||||
\(489\) | 11.1939 | + | 11.1939i | 0.506206 | + | 0.506206i | ||||
\(490\) | −5.98309 | + | 1.32098i | −0.270288 | + | 0.0596757i | ||||
\(491\) | −4.22759 | + | 2.44080i | −0.190789 | + | 0.110152i | −0.592352 | − | 0.805680i | \(-0.701800\pi\) |
0.401563 | + | 0.915831i | \(0.368467\pi\) | |||||||
\(492\) | 3.01491 | − | 1.74066i | 0.135923 | − | 0.0784750i | ||||
\(493\) | 0.568676 | − | 0.568676i | 0.0256119 | − | 0.0256119i | ||||
\(494\) | −3.55184 | − | 0.970077i | −0.159805 | − | 0.0436458i | ||||
\(495\) | 0.0647353 | − | 1.45376i | 0.00290964 | − | 0.0653416i | ||||
\(496\) | −0.514484 | + | 1.92008i | −0.0231010 | + | 0.0862142i | ||||
\(497\) | 40.5968 | + | 10.8779i | 1.82101 | + | 0.487939i | ||||
\(498\) | −0.391713 | − | 1.46189i | −0.0175531 | − | 0.0655090i | ||||
\(499\) | −6.12464 | + | 6.12464i | −0.274176 | + | 0.274176i | −0.830779 | − | 0.556603i | \(-0.812105\pi\) |
0.556603 | + | 0.830779i | \(0.312105\pi\) | |||||||
\(500\) | −1.43049 | − | 11.0884i | −0.0639735 | − | 0.495891i | ||||
\(501\) | −4.64334 | − | 17.3292i | −0.207449 | − | 0.774211i | ||||
\(502\) | − | 2.10531i | − | 0.0939646i | ||||||
\(503\) | 24.4571 | − | 6.55326i | 1.09049 | − | 0.292196i | 0.331603 | − | 0.943419i | \(-0.392411\pi\) |
0.758886 | + | 0.651223i | \(0.225744\pi\) | |||||||
\(504\) | 1.56046 | + | 2.70280i | 0.0695085 | + | 0.120392i | ||||
\(505\) | 8.85629 | + | 2.80082i | 0.394100 | + | 0.124635i | ||||
\(506\) | 1.53693i | 0.0683247i | ||||||||
\(507\) | −9.10339 | − | 9.28053i | −0.404296 | − | 0.412163i | ||||
\(508\) | 4.23981 | + | 4.23981i | 0.188111 | + | 0.188111i | ||||
\(509\) | 11.3870 | + | 3.05113i | 0.504719 | + | 0.135239i | 0.502189 | − | 0.864758i | \(-0.332528\pi\) |
0.00252998 | + | 0.999997i | \(0.499195\pi\) | |||||||
\(510\) | 0.186450 | + | 0.0589653i | 0.00825615 | + | 0.00261103i | ||||
\(511\) | −6.62616 | − | 3.82562i | −0.293124 | − | 0.169235i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −0.884372 | − | 0.510593i | −0.0390460 | − | 0.0225432i | ||||
\(514\) | −11.1229 | + | 2.98037i | −0.490610 | + | 0.131458i | ||||
\(515\) | 28.0879 | + | 1.25074i | 1.23770 | + | 0.0551143i | ||||
\(516\) | −5.03741 | + | 8.72504i | −0.221759 | + | 0.384099i | ||||
\(517\) | 0.798756 | − | 2.98100i | 0.0351293 | − | 0.131104i | ||||
\(518\) | 11.8608 | + | 20.5436i | 0.521135 | + | 0.902633i | ||||
\(519\) | −0.328606 | −0.0144242 | ||||||||
\(520\) | −2.46804 | + | 7.67521i | −0.108231 | + | 0.336580i | ||||
\(521\) | 7.65452 | 0.335351 | 0.167675 | − | 0.985842i | \(-0.446374\pi\) | ||||
0.167675 | + | 0.985842i | \(0.446374\pi\) | |||||||
\(522\) | 4.59804 | + | 7.96403i | 0.201251 | + | 0.348576i | ||||
\(523\) | −7.63073 | + | 28.4783i | −0.333669 | + | 1.24527i | 0.571636 | + | 0.820507i | \(0.306309\pi\) |
−0.905305 | + | 0.424762i | \(0.860358\pi\) | |||||||
\(524\) | 2.31825 | − | 4.01534i | 0.101273 | − | 0.175411i | ||||
\(525\) | −10.0097 | − | 11.9712i | −0.436860 | − | 0.522466i | ||||
\(526\) | −0.721608 | + | 0.193354i | −0.0314636 | + | 0.00843065i | ||||
\(527\) | 0.150551 | + | 0.0869206i | 0.00655810 | + | 0.00378632i | ||||
\(528\) | 0.650785 | 0.0283218 | ||||||||
\(529\) | −15.0884 | − | 8.71130i | −0.656018 | − | 0.378752i | ||||
\(530\) | −17.1454 | + | 8.90644i | −0.744748 | + | 0.386871i | ||||
\(531\) | −12.7884 | − | 3.42665i | −0.554971 | − | 0.148704i | ||||
\(532\) | 2.25358 | + | 2.25358i | 0.0977050 | + | 0.0977050i | ||||
\(533\) | 12.1399 | − | 3.19027i | 0.525837 | − | 0.138186i | ||||
\(534\) | − | 18.7201i | − | 0.810100i | ||||||
\(535\) | 3.42627 | + | 6.59576i | 0.148131 | + | 0.285160i | ||||
\(536\) | 5.42255 | + | 9.39213i | 0.234219 | + | 0.405678i | ||||
\(537\) | 21.1682 | − | 5.67201i | 0.913477 | − | 0.244765i | ||||
\(538\) | − | 15.7011i | − | 0.676923i | ||||||
\(539\) | 0.461540 | + | 1.72249i | 0.0198799 | + | 0.0741929i | ||||
\(540\) | −1.20307 | + | 1.88484i | −0.0517720 | + | 0.0811105i | ||||
\(541\) | −7.28454 | + | 7.28454i | −0.313187 | + | 0.313187i | −0.846143 | − | 0.532956i | \(-0.821081\pi\) |
0.532956 | + | 0.846143i | \(0.321081\pi\) | |||||||
\(542\) | −2.20407 | − | 8.22569i | −0.0946728 | − | 0.353324i | ||||
\(543\) | 5.90354 | + | 1.58185i | 0.253345 | + | 0.0678837i | ||||
\(544\) | −0.0226346 | + | 0.0844736i | −0.000970452 | + | 0.00362178i | ||||
\(545\) | −26.9768 | − | 1.20127i | −1.15556 | − | 0.0514567i | ||||
\(546\) | 2.86000 | + | 10.8831i | 0.122397 | + | 0.465755i | ||||
\(547\) | −8.12503 | + | 8.12503i | −0.347401 | + | 0.347401i | −0.859141 | − | 0.511739i | \(-0.829001\pi\) |
0.511739 | + | 0.859141i | \(0.329001\pi\) | |||||||
\(548\) | 9.18440 | − | 5.30261i | 0.392338 | − | 0.226516i | ||||
\(549\) | −5.89274 | + | 3.40217i | −0.251496 | + | 0.145201i | ||||
\(550\) | −3.20546 | + | 0.559480i | −0.136681 | + | 0.0238563i | ||||
\(551\) | 6.64036 | + | 6.64036i | 0.282889 | + | 0.282889i | ||||
\(552\) | 1.18083 | − | 2.04525i | 0.0502593 | − | 0.0870516i | ||||
\(553\) | −16.2963 | + | 28.2260i | −0.692990 | + | 1.20029i | ||||
\(554\) | 2.79951 | + | 2.79951i | 0.118940 | + | 0.118940i | ||||
\(555\) | −9.14438 | + | 14.3264i | −0.388157 | + | 0.608121i | ||||
\(556\) | −14.2433 | + | 8.22339i | −0.604052 | + | 0.348750i | ||||
\(557\) | −15.7081 | + | 9.06907i | −0.665573 | + | 0.384269i | −0.794397 | − | 0.607399i | \(-0.792213\pi\) |
0.128824 | + | 0.991667i | \(0.458880\pi\) | |||||||
\(558\) | −1.40560 | + | 1.40560i | −0.0595037 | + | 0.0595037i | ||||
\(559\) | −25.8093 | + | 25.5618i | −1.09162 | + | 1.08115i | ||||
\(560\) | 5.14925 | − | 4.71021i | 0.217595 | − | 0.199043i | ||||
\(561\) | 0.0147303 | − | 0.0549741i | 0.000621912 | − | 0.00232101i | ||||
\(562\) | −22.7736 | − | 6.10217i | −0.960647 | − | 0.257404i | ||||
\(563\) | 9.04247 | + | 33.7469i | 0.381094 | + | 1.42226i | 0.844232 | + | 0.535978i | \(0.180057\pi\) |
−0.463138 | + | 0.886286i | \(0.653276\pi\) | |||||||
\(564\) | −3.35325 | + | 3.35325i | −0.141197 | + | 0.141197i | ||||
\(565\) | −12.8767 | − | 8.21904i | −0.541725 | − | 0.345778i | ||||
\(566\) | 8.00692 | + | 29.8822i | 0.336556 | + | 1.25604i | ||||
\(567\) | 3.12092i | 0.131066i | ||||||||
\(568\) | −13.0079 | + | 3.48547i | −0.545801 | + | 0.146247i | ||||
\(569\) | 12.2319 | + | 21.1863i | 0.512790 | + | 0.888178i | 0.999890 | + | 0.0148316i | \(0.00472122\pi\) |
−0.487100 | + | 0.873346i | \(0.661945\pi\) | |||||||
\(570\) | −0.688531 | + | 2.17716i | −0.0288394 | + | 0.0911911i | ||||
\(571\) | 22.5270i | 0.942727i | 0.881939 | + | 0.471364i | \(0.156238\pi\) | ||||
−0.881939 | + | 0.471364i | \(0.843762\pi\) | |||||||
\(572\) | 2.26353 | + | 0.618214i | 0.0946431 | + | 0.0258488i | ||||
\(573\) | −3.40935 | − | 3.40935i | −0.142428 | − | 0.142428i | ||||
\(574\) | −10.4947 | − | 2.81205i | −0.438041 | − | 0.117373i | ||||
\(575\) | −4.05789 | + | 11.0891i | −0.169226 | + | 0.462448i | ||||
\(576\) | −0.866025 | − | 0.500000i | −0.0360844 | − | 0.0208333i | ||||
\(577\) | 32.1391 | 1.33797 | 0.668985 | − | 0.743276i | \(-0.266729\pi\) | ||||
0.668985 | + | 0.743276i | \(0.266729\pi\) | |||||||
\(578\) | −14.7158 | − | 8.49618i | −0.612097 | − | 0.353394i | ||||
\(579\) | 2.95900 | − | 0.792862i | 0.122972 | − | 0.0329502i | ||||
\(580\) | 15.1727 | − | 13.8790i | 0.630012 | − | 0.576296i | ||||
\(581\) | −2.36170 | + | 4.09058i | −0.0979798 | + | 0.169706i | ||||
\(582\) | −1.32438 | + | 4.94266i | −0.0548973 | + | 0.204880i | ||||
\(583\) | 2.81154 | + | 4.86974i | 0.116442 | + | 0.201684i | ||||
\(584\) | 2.45159 | 0.101448 | ||||||||
\(585\) | −5.97499 | + | 5.41291i | −0.247035 | + | 0.223796i | ||||
\(586\) | 20.3414 | 0.840295 | ||||||||
\(587\) | 9.98075 | + | 17.2872i | 0.411950 | + | 0.713517i | 0.995103 | − | 0.0988446i | \(-0.0315147\pi\) |
−0.583153 | + | 0.812362i | \(0.698181\pi\) | |||||||
\(588\) | 0.709205 | − | 2.64679i | 0.0292471 | − | 0.109152i | ||||
\(589\) | −1.01496 | + | 1.75797i | −0.0418208 | + | 0.0724358i | ||||
\(590\) | −1.31698 | + | 29.5753i | −0.0542190 | + | 1.21759i | ||||
\(591\) | −1.99594 | + | 0.534812i | −0.0821022 | + | 0.0219992i | ||||
\(592\) | −6.58253 | − | 3.80043i | −0.270540 | − | 0.156197i | ||||
\(593\) | 4.57405 | 0.187834 | 0.0939169 | − | 0.995580i | \(-0.470061\pi\) | ||||
0.0939169 | + | 0.995580i | \(0.470061\pi\) | |||||||
\(594\) | 0.563596 | + | 0.325392i | 0.0231246 | + | 0.0133510i | ||||
\(595\) | −0.281337 | − | 0.541589i | −0.0115337 | − | 0.0222030i | ||||
\(596\) | 13.1806 | + | 3.53174i | 0.539900 | + | 0.144666i | ||||
\(597\) | 2.96308 | + | 2.96308i | 0.121271 | + | 0.121271i | ||||
\(598\) | 6.04999 | − | 5.99197i | 0.247402 | − | 0.245030i | ||||
\(599\) | 26.5385i | 1.08433i | 0.840271 | + | 0.542167i | \(0.182396\pi\) | ||||
−0.840271 | + | 0.542167i | \(0.817604\pi\) | |||||||
\(600\) | 4.69549 | + | 1.71825i | 0.191693 | + | 0.0701471i | ||||
\(601\) | 13.3672 | + | 23.1528i | 0.545261 | + | 0.944420i | 0.998590 | + | 0.0530772i | \(0.0169029\pi\) |
−0.453329 | + | 0.891343i | \(0.649764\pi\) | |||||||
\(602\) | 30.3713 | − | 8.13797i | 1.23784 | − | 0.331679i | ||||
\(603\) | 10.8451i | 0.441647i | ||||||||
\(604\) | −4.13731 | − | 15.4406i | −0.168345 | − | 0.628271i | ||||
\(605\) | −5.09872 | − | 23.0936i | −0.207292 | − | 0.938887i | ||||
\(606\) | −2.93732 | + | 2.93732i | −0.119320 | + | 0.119320i | ||||
\(607\) | −3.14802 | − | 11.7486i | −0.127774 | − | 0.476860i | 0.872149 | − | 0.489240i | \(-0.162726\pi\) |
−0.999923 | + | 0.0123802i | \(0.996059\pi\) | |||||||
\(608\) | −0.986389 | − | 0.264302i | −0.0400034 | − | 0.0107189i | ||||
\(609\) | 7.42817 | − | 27.7223i | 0.301005 | − | 1.12336i | ||||
\(610\) | 10.2694 | + | 11.2266i | 0.415795 | + | 0.454551i | ||||
\(611\) | −14.8486 | + | 8.47771i | −0.600708 | + | 0.342971i | ||||
\(612\) | −0.0618390 | + | 0.0618390i | −0.00249969 | + | 0.00249969i | ||||
\(613\) | −17.4627 | + | 10.0821i | −0.705311 | + | 0.407212i | −0.809323 | − | 0.587364i | \(-0.800166\pi\) |
0.104011 | + | 0.994576i | \(0.466832\pi\) | |||||||
\(614\) | 12.3757 | − | 7.14510i | 0.499442 | − | 0.288353i | ||||
\(615\) | −1.67828 | − | 7.60140i | −0.0676747 | − | 0.306518i | ||||
\(616\) | −1.43617 | − | 1.43617i | −0.0578649 | − | 0.0578649i | ||||
\(617\) | −18.8232 | + | 32.6028i | −0.757794 | + | 1.31254i | 0.186179 | + | 0.982516i | \(0.440390\pi\) |
−0.943973 | + | 0.330023i | \(0.892944\pi\) | |||||||
\(618\) | −6.28686 | + | 10.8892i | −0.252895 | + | 0.438026i | ||||
\(619\) | 27.2529 | + | 27.2529i | 1.09539 | + | 1.09539i | 0.994943 | + | 0.100442i | \(0.0320258\pi\) |
0.100442 | + | 0.994943i | \(0.467974\pi\) | |||||||
\(620\) | 3.74671 | + | 2.39149i | 0.150471 | + | 0.0960444i | ||||
\(621\) | 2.04525 | − | 1.18083i | 0.0820730 | − | 0.0473849i | ||||
\(622\) | 21.3537 | − | 12.3286i | 0.856206 | − | 0.494331i | ||||
\(623\) | −41.3121 | + | 41.3121i | −1.65513 | + | 1.65513i | ||||
\(624\) | −2.53720 | − | 2.56176i | −0.101569 | − | 0.102553i | ||||
\(625\) | −24.6050 | − | 4.42656i | −0.984200 | − | 0.177062i | ||||
\(626\) | −1.35922 | + | 5.07269i | −0.0543255 | + | 0.202745i | ||||
\(627\) | 0.641927 | + | 0.172004i | 0.0256361 | + | 0.00686917i | ||||
\(628\) | 0.827852 | + | 3.08959i | 0.0330349 | + | 0.123288i | ||||
\(629\) | −0.470029 | + | 0.470029i | −0.0187413 | + | 0.0187413i | ||||
\(630\) | 6.81448 | − | 1.50454i | 0.271495 | − | 0.0599422i | ||||
\(631\) | 2.11491 | + | 7.89297i | 0.0841934 | + | 0.314214i | 0.995160 | − | 0.0982656i | \(-0.0313295\pi\) |
−0.910967 | + | 0.412480i | \(0.864663\pi\) | |||||||
\(632\) | − | 10.4433i | − | 0.415411i | ||||||
\(633\) | −12.2578 | + | 3.28446i | −0.487202 | + | 0.130545i | ||||
\(634\) | −5.12068 | − | 8.86927i | −0.203368 | − | 0.352244i | ||||
\(635\) | 11.8979 | − | 6.18057i | 0.472155 | − | 0.245268i | ||||
\(636\) | − | 8.64047i | − | 0.342617i | ||||||
\(637\) | 4.98105 | − | 8.53225i | 0.197357 | − | 0.338060i | ||||
\(638\) | −4.23180 | − | 4.23180i | −0.167538 | − | 0.167538i | ||||
\(639\) | −13.0079 | − | 3.48547i | −0.514586 | − | 0.137883i | ||||
\(640\) | −0.674247 | + | 2.13199i | −0.0266520 | + | 0.0842744i | ||||
\(641\) | −15.0450 | − | 8.68624i | −0.594242 | − | 0.343086i | 0.172531 | − | 0.985004i | \(-0.444805\pi\) |
−0.766773 | + | 0.641918i | \(0.778139\pi\) | |||||||
\(642\) | −3.32395 | −0.131186 | ||||||||
\(643\) | 17.8672 | + | 10.3157i | 0.704615 | + | 0.406810i | 0.809064 | − | 0.587721i | \(-0.199975\pi\) |
−0.104449 | + | 0.994530i | \(0.533308\pi\) | |||||||
\(644\) | −7.11938 | + | 1.90763i | −0.280543 | + | 0.0751713i | ||||
\(645\) | 15.2053 | + | 16.6225i | 0.598707 | + | 0.654512i | ||||
\(646\) | −0.0446531 | + | 0.0773414i | −0.00175685 | + | 0.00304296i | ||||
\(647\) | 4.87092 | − | 18.1785i | 0.191496 | − | 0.714671i | −0.801651 | − | 0.597793i | \(-0.796045\pi\) |
0.993146 | − | 0.116878i | \(-0.0372888\pi\) | |||||||
\(648\) | −0.500000 | − | 0.866025i | −0.0196419 | − | 0.0340207i | ||||
\(649\) | 8.61610 | 0.338212 | ||||||||
\(650\) | 14.6994 | + | 10.4368i | 0.576558 | + | 0.409366i | ||||
\(651\) | 6.20381 | 0.243147 | ||||||||
\(652\) | 7.91529 | + | 13.7097i | 0.309987 | + | 0.536913i | ||||
\(653\) | 10.6879 | − | 39.8876i | 0.418248 | − | 1.56092i | −0.359992 | − | 0.932956i | \(-0.617220\pi\) |
0.778240 | − | 0.627967i | \(-0.216113\pi\) | |||||||
\(654\) | 6.03818 | − | 10.4584i | 0.236111 | − | 0.408957i | ||||
\(655\) | −6.99759 | − | 7.64983i | −0.273418 | − | 0.298904i | ||||
\(656\) | 3.36270 | − | 0.901032i | 0.131291 | − | 0.0351794i | ||||
\(657\) | 2.12314 | + | 1.22580i | 0.0828317 | + | 0.0478229i | ||||
\(658\) | 14.8001 | 0.576967 | ||||||||
\(659\) | −11.0082 | − | 6.35559i | −0.428819 | − | 0.247579i | 0.270025 | − | 0.962853i | \(-0.412968\pi\) |
−0.698843 | + | 0.715275i | \(0.746302\pi\) | |||||||
\(660\) | 0.438790 | − | 1.38747i | 0.0170799 | − | 0.0540071i | ||||
\(661\) | −35.9999 | − | 9.64615i | −1.40023 | − | 0.375192i | −0.521805 | − | 0.853065i | \(-0.674741\pi\) |
−0.878429 | + | 0.477873i | \(0.841408\pi\) | |||||||
\(662\) | −16.3655 | − | 16.3655i | −0.636064 | − | 0.636064i | ||||
\(663\) | −0.273830 | + | 0.156342i | −0.0106347 | + | 0.00607181i | ||||
\(664\) | − | 1.51346i | − | 0.0587337i | ||||||
\(665\) | 6.32408 | − | 3.28514i | 0.245237 | − | 0.127392i | ||||
\(666\) | −3.80043 | − | 6.58253i | −0.147264 | − | 0.255068i | ||||
\(667\) | −20.9779 | + | 5.62101i | −0.812267 | + | 0.217646i | ||||
\(668\) | − | 17.9405i | − | 0.694138i | ||||||
\(669\) | −3.70807 | − | 13.8387i | −0.143362 | − | 0.535035i | ||||
\(670\) | 23.6801 | − | 5.22822i | 0.914842 | − | 0.201984i | ||||
\(671\) | 3.13119 | − | 3.13119i | 0.120878 | − | 0.120878i | ||||
\(672\) | 0.807754 | + | 3.01458i | 0.0311598 | + | 0.116290i | ||||
\(673\) | −12.6098 | − | 3.37878i | −0.486071 | − | 0.130242i | 0.00745690 | − | 0.999972i | \(-0.497626\pi\) |
−0.493528 | + | 0.869730i | \(0.664293\pi\) | |||||||
\(674\) | −6.84037 | + | 25.5286i | −0.263481 | + | 0.983326i | ||||
\(675\) | 3.20729 | + | 3.83579i | 0.123449 | + | 0.147640i | ||||
\(676\) | −6.39123 | − | 11.3204i | −0.245816 | − | 0.435401i | ||||
\(677\) | −30.3858 | + | 30.3858i | −1.16782 | + | 1.16782i | −0.185101 | + | 0.982719i | \(0.559261\pi\) |
−0.982719 | + | 0.185101i | \(0.940739\pi\) | |||||||
\(678\) | 5.91643 | − | 3.41585i | 0.227219 | − | 0.131185i | ||||
\(679\) | 13.8303 | − | 7.98490i | 0.530757 | − | 0.306432i | ||||
\(680\) | 0.164836 | + | 0.105213i | 0.00632116 | + | 0.00403473i | ||||
\(681\) | −12.0347 | − | 12.0347i | −0.461169 | − | 0.461169i | ||||
\(682\) | 0.646819 | − | 1.12032i | 0.0247680 | − | 0.0428994i | ||||
\(683\) | −11.6831 | + | 20.2358i | −0.447043 | + | 0.774302i | −0.998192 | − | 0.0601053i | \(-0.980856\pi\) |
0.551149 | + | 0.834407i | \(0.314190\pi\) | |||||||
\(684\) | −0.722087 | − | 0.722087i | −0.0276097 | − | 0.0276097i | ||||
\(685\) | −5.11258 | − | 23.1563i | −0.195342 | − | 0.884758i | ||||
\(686\) | 11.5135 | − | 6.64732i | 0.439587 | − | 0.253796i | ||||
\(687\) | 14.4806 | − | 8.36038i | 0.552469 | − | 0.318968i | ||||
\(688\) | −7.12397 | + | 7.12397i | −0.271599 | + | 0.271599i | ||||
\(689\) | 8.20804 | − | 30.0529i | 0.312701 | − | 1.14493i | ||||
\(690\) | −3.56429 | − | 3.89651i | −0.135690 | − | 0.148338i | ||||
\(691\) | 10.4146 | − | 38.8677i | 0.396189 | − | 1.47860i | −0.423557 | − | 0.905869i | \(-0.639219\pi\) |
0.819746 | − | 0.572727i | \(-0.194115\pi\) | |||||||
\(692\) | −0.317409 | − | 0.0850494i | −0.0120661 | − | 0.00323309i | ||||
\(693\) | −0.525674 | − | 1.96184i | −0.0199687 | − | 0.0745242i | ||||
\(694\) | 14.0016 | − | 14.0016i | 0.531492 | − | 0.531492i | ||||
\(695\) | 7.92868 | + | 35.9113i | 0.300752 | + | 1.36219i | ||||
\(696\) | 2.38012 | + | 8.88272i | 0.0902182 | + | 0.336699i | ||||
\(697\) | − | 0.304454i | − | 0.0115320i | ||||||
\(698\) | 0.300454 | − | 0.0805064i | 0.0113724 | − | 0.00304721i | ||||
\(699\) | −0.808731 | − | 1.40076i | −0.0305890 | − | 0.0529817i | ||||
\(700\) | −6.57026 | − | 14.1540i | −0.248333 | − | 0.534971i | ||||
\(701\) | − | 38.5740i | − | 1.45692i | −0.685087 | − | 0.728461i | \(-0.740236\pi\) | ||
0.685087 | − | 0.728461i | \(-0.259764\pi\) | |||||||
\(702\) | −0.916397 | − | 3.48715i | −0.0345872 | − | 0.131614i | ||||
\(703\) | −5.48848 | − | 5.48848i | −0.207002 | − | 0.207002i | ||||
\(704\) | 0.628610 | + | 0.168435i | 0.0236916 | + | 0.00634815i | ||||
\(705\) | 4.88818 | + | 9.41002i | 0.184100 | + | 0.354402i | ||||
\(706\) | 25.7121 | + | 14.8449i | 0.967688 | + | 0.558695i | ||||
\(707\) | 12.9643 | 0.487573 | ||||||||
\(708\) | −11.4658 | − | 6.61978i | −0.430911 | − | 0.248787i | ||||
\(709\) | −21.1704 | + | 5.67258i | −0.795070 | + | 0.213038i | −0.633418 | − | 0.773810i | \(-0.718349\pi\) |
−0.161652 | + | 0.986848i | \(0.551682\pi\) | |||||||
\(710\) | −1.33958 | + | 30.0829i | −0.0502736 | + | 1.12899i | ||||
\(711\) | 5.22163 | − | 9.04413i | 0.195827 | − | 0.339182i | ||||
\(712\) | 4.84513 | − | 18.0823i | 0.181579 | − | 0.677662i | ||||
\(713\) | −2.34726 | − | 4.06557i | −0.0879056 | − | 0.152257i | ||||
\(714\) | 0.272936 | 0.0102144 | ||||||||
\(715\) | 2.84421 | − | 4.40900i | 0.106367 | − | 0.164887i | ||||
\(716\) | 21.9150 | 0.819001 | ||||||||
\(717\) | 0.131673 | + | 0.228064i | 0.00491742 | + | 0.00851721i | ||||
\(718\) | 8.93314 | − | 33.3389i | 0.333382 | − | 1.24420i | ||||
\(719\) | 6.82948 | − | 11.8290i | 0.254697 | − | 0.441147i | −0.710116 | − | 0.704084i | \(-0.751358\pi\) |
0.964813 | + | 0.262937i | \(0.0846911\pi\) | |||||||
\(720\) | −1.64991 | + | 1.50924i | −0.0614886 | + | 0.0562459i | ||||
\(721\) | 37.9045 | − | 10.1565i | 1.41164 | − | 0.378247i | ||||
\(722\) | 15.5514 | + | 8.97859i | 0.578762 | + | 0.334149i | ||||
\(723\) | −26.9906 | −1.00379 | ||||||||
\(724\) | 5.29297 | + | 3.05590i | 0.196712 | + | 0.113572i | ||||
\(725\) | −19.3599 | − | 41.7060i | −0.719007 | − | 1.54892i | ||||
\(726\) | 10.2161 | + | 2.73739i | 0.379155 | + | 0.101594i | ||||
\(727\) | 25.9287 | + | 25.9287i | 0.961642 | + | 0.961642i | 0.999291 | − | 0.0376492i | \(-0.0119869\pi\) |
−0.0376492 | + | 0.999291i | \(0.511987\pi\) | |||||||
\(728\) | −0.0542094 | + | 11.2525i | −0.00200913 | + | 0.417046i | ||||
\(729\) | − | 1.00000i | − | 0.0370370i | ||||||
\(730\) | 1.65298 | − | 5.22678i | 0.0611795 | − | 0.193452i | ||||
\(731\) | 0.440539 | + | 0.763035i | 0.0162939 | + | 0.0282219i | ||||
\(732\) | −6.57250 | + | 1.76110i | −0.242926 | + | 0.0650920i | ||||
\(733\) | − | 47.7941i | − | 1.76532i | −0.470015 | − | 0.882658i | \(-0.655752\pi\) | ||
0.470015 | − | 0.882658i | \(-0.344248\pi\) | |||||||
\(734\) | 7.97094 | + | 29.7480i | 0.294213 | + | 1.09802i | ||||
\(735\) | −5.16476 | − | 3.29661i | −0.190505 | − | 0.121597i | ||||
\(736\) | 1.66994 | − | 1.66994i | 0.0615548 | − | 0.0615548i | ||||
\(737\) | −1.82670 | − | 6.81734i | −0.0672874 | − | 0.251120i | ||||
\(738\) | 3.36270 | + | 0.901032i | 0.123783 | + | 0.0331674i | ||||
\(739\) | −8.68070 | + | 32.3968i | −0.319325 | + | 1.19174i | 0.600571 | + | 0.799572i | \(0.294940\pi\) |
−0.919895 | + | 0.392164i | \(0.871727\pi\) | |||||||
\(740\) | −12.5407 | + | 11.4715i | −0.461007 | + | 0.421700i | ||||
\(741\) | −1.82559 | − | 3.19748i | −0.0670645 | − | 0.117462i | ||||
\(742\) | −19.0680 | + | 19.0680i | −0.700009 | + | 0.700009i | ||||
\(743\) | 3.28918 | − | 1.89901i | 0.120668 | − | 0.0696680i | −0.438451 | − | 0.898755i | \(-0.644473\pi\) |
0.559119 | + | 0.829087i | \(0.311139\pi\) | |||||||
\(744\) | −1.72150 | + | 0.993907i | −0.0631132 | + | 0.0364384i | ||||
\(745\) | 16.4167 | − | 25.7197i | 0.601460 | − | 0.942298i | ||||
\(746\) | −1.28498 | − | 1.28498i | −0.0470464 | − | 0.0470464i | ||||
\(747\) | 0.756731 | − | 1.31070i | 0.0276873 | − | 0.0479559i | ||||
\(748\) | 0.0284567 | − | 0.0492884i | 0.00104048 | − | 0.00180216i | ||||
\(749\) | 7.33539 | + | 7.33539i | 0.268029 | + | 0.268029i | ||||
\(750\) | 6.82921 | − | 8.85223i | 0.249367 | − | 0.323238i | ||||
\(751\) | −10.6172 | + | 6.12985i | −0.387428 | + | 0.223681i | −0.681045 | − | 0.732242i | \(-0.738474\pi\) |
0.293617 | + | 0.955923i | \(0.405141\pi\) | |||||||
\(752\) | −4.10687 | + | 2.37110i | −0.149762 | + | 0.0864653i | ||||
\(753\) | 1.48868 | − | 1.48868i | 0.0542505 | − | 0.0542505i | ||||
\(754\) | −0.159733 | + | 33.1565i | −0.00581712 | + | 1.20749i | ||||
\(755\) | −35.7089 | − | 1.59010i | −1.29958 | − | 0.0578698i | ||||
\(756\) | −0.807754 | + | 3.01458i | −0.0293777 | + | 0.109639i | ||||
\(757\) | −0.823974 | − | 0.220783i | −0.0299478 | − | 0.00802450i | 0.243814 | − | 0.969822i | \(-0.421601\pi\) |
−0.273762 | + | 0.961798i | \(0.588268\pi\) | |||||||
\(758\) | 1.61037 | + | 6.00997i | 0.0584912 | + | 0.218292i | ||||
\(759\) | −1.08677 | + | 1.08677i | −0.0394473 | + | 0.0394473i | ||||
\(760\) | −1.22856 | + | 1.92477i | −0.0445646 | + | 0.0698187i | ||||
\(761\) | 3.67773 | + | 13.7255i | 0.133318 | + | 0.497548i | 0.999999 | − | 0.00131382i | \(-0.000418203\pi\) |
−0.866682 | + | 0.498862i | \(0.833752\pi\) | |||||||
\(762\) | 5.99600i | 0.217212i | ||||||||
\(763\) | −36.4051 | + | 9.75473i | −1.31795 | + | 0.353145i | ||||
\(764\) | −2.41078 | − | 4.17559i | −0.0872188 | − | 0.151067i | ||||
\(765\) | 0.0901454 | + | 0.173535i | 0.00325921 | + | 0.00627417i | ||||
\(766\) | − | 1.06202i | − | 0.0383724i | ||||||
\(767\) | −33.5914 | − | 33.9166i | −1.21291 | − | 1.22466i | ||||
\(768\) | −0.707107 | − | 0.707107i | −0.0255155 | − | 0.0255155i | ||||
\(769\) | 44.3182 | + | 11.8750i | 1.59816 | + | 0.428225i | 0.944485 | − | 0.328554i | \(-0.106561\pi\) |
0.653671 | + | 0.756779i | \(0.273228\pi\) | |||||||
\(770\) | −4.03023 | + | 2.09357i | −0.145239 | + | 0.0754469i | ||||
\(771\) | −9.97251 | − | 5.75763i | −0.359151 | − | 0.207356i | ||||
\(772\) | 3.06338 | 0.110254 | ||||||||
\(773\) | 37.6049 | + | 21.7112i | 1.35255 | + | 0.780897i | 0.988607 | − | 0.150522i | \(-0.0480956\pi\) |
0.363947 | + | 0.931420i | \(0.381429\pi\) | |||||||
\(774\) | −9.73152 | + | 2.60755i | −0.349792 | + | 0.0937266i | ||||
\(775\) | 7.62484 | − | 6.37550i | 0.273892 | − | 0.229015i | ||||
\(776\) | −2.55851 | + | 4.43146i | −0.0918451 | + | 0.159080i | ||||
\(777\) | −6.13962 | + | 22.9134i | −0.220258 | + | 0.822013i | ||||
\(778\) | −16.4018 | − | 28.4087i | −0.588031 | − | 1.01850i | ||||
\(779\) | 3.55507 | 0.127374 | ||||||||
\(780\) | −7.17236 | + | 3.68202i | −0.256812 | + | 0.131838i | ||||
\(781\) | 8.76400 | 0.313600 | ||||||||
\(782\) | −0.103267 | − | 0.178864i | −0.00369283 | − | 0.00639617i | ||||
\(783\) | −2.38012 | + | 8.88272i | −0.0850585 | + | 0.317443i | ||||
\(784\) | 1.37008 | − | 2.37305i | 0.0489314 | − | 0.0847517i | ||||
\(785\) | 7.14515 | + | 0.318171i | 0.255021 | + | 0.0113560i | ||||
\(786\) | 4.47852 | − | 1.20002i | 0.159744 | − | 0.0428032i | ||||
\(787\) | −32.3118 | − | 18.6552i | −1.15179 | − | 0.664987i | −0.202468 | − | 0.979289i | \(-0.564896\pi\) |
−0.949323 | + | 0.314302i | \(0.898229\pi\) | |||||||
\(788\) | −2.06635 | −0.0736108 | ||||||||
\(789\) | −0.646976 | − | 0.373532i | −0.0230330 | − | 0.0132981i | ||||
\(790\) | −22.2650 | − | 7.04134i | −0.792152 | − | 0.250520i | ||||
\(791\) | −20.5947 | − | 5.51834i | −0.732264 | − | 0.196209i | ||||
\(792\) | 0.460174 | + | 0.460174i | 0.0163516 | + | 0.0163516i | ||||
\(793\) | −24.5331 | − | 0.118189i | −0.871198 | − | 0.00419702i | ||||
\(794\) | − | 37.3962i | − | 1.32714i | ||||||
\(795\) | −18.4214 | − | 5.82582i | −0.653341 | − | 0.206620i | ||||
\(796\) | 2.09521 | + | 3.62902i | 0.0742629 | + | 0.128627i | ||||
\(797\) | 31.8921 | − | 8.54546i | 1.12968 | − | 0.302696i | 0.354883 | − | 0.934911i | \(-0.384521\pi\) |
0.774793 | + | 0.632215i | \(0.217854\pi\) | |||||||
\(798\) | 3.18704i | 0.112820i | ||||||||
\(799\) | 0.107338 | + | 0.400591i | 0.00379735 | + | 0.0141719i | ||||
\(800\) | 4.09078 | + | 2.87498i | 0.144631 | + | 0.101646i | ||||
\(801\) | 13.2371 | − | 13.2371i | 0.467711 | − | 0.467711i | ||||
\(802\) | −0.234008 | − | 0.873330i | −0.00826311 | − | 0.0308384i | ||||
\(803\) | −1.54110 | − | 0.412935i | −0.0543841 | − | 0.0145722i | ||||
\(804\) | −2.80692 | + | 10.4756i | −0.0989924 | + | 0.369445i | ||||
\(805\) | −0.733166 | + | 16.4647i | −0.0258407 | + | 0.580304i | ||||
\(806\) | −6.93181 | + | 1.82163i | −0.244162 | + | 0.0641640i | ||||
\(807\) | 11.1024 | − | 11.1024i | 0.390822 | − | 0.390822i | ||||
\(808\) | −3.59747 | + | 2.07700i | −0.126558 | + | 0.0730686i | ||||
\(809\) | −23.7864 | + | 13.7331i | −0.836285 | + | 0.482829i | −0.856000 | − | 0.516976i | \(-0.827058\pi\) |
0.0197148 | + | 0.999806i | \(0.493724\pi\) | |||||||
\(810\) | −2.18348 | + | 0.482081i | −0.0767198 | + | 0.0169386i | ||||
\(811\) | −0.682382 | − | 0.682382i | −0.0239617 | − | 0.0239617i | 0.695024 | − | 0.718986i | \(-0.255394\pi\) |
−0.718986 | + | 0.695024i | \(0.755394\pi\) | |||||||
\(812\) | 14.3501 | − | 24.8551i | 0.503590 | − | 0.872244i | ||||
\(813\) | 4.25793 | − | 7.37496i | 0.149332 | − | 0.258651i | ||||
\(814\) | 3.49772 | + | 3.49772i | 0.122595 | + | 0.122595i | ||||
\(815\) | 34.5658 | − | 7.63162i | 1.21079 | − | 0.267324i | ||||
\(816\) | −0.0757369 | + | 0.0437267i | −0.00265132 | + | 0.00153074i | ||||
\(817\) | −8.90988 | + | 5.14412i | −0.311717 | + | 0.179970i | ||||
\(818\) | 18.7334 | − | 18.7334i | 0.654999 | − | 0.654999i | ||||
\(819\) | −5.67320 | + | 9.71786i | −0.198238 | + | 0.339570i | ||||
\(820\) | 0.346296 | − | 7.77676i | 0.0120932 | − | 0.271576i | ||||
\(821\) | 11.6606 | − | 43.5179i | 0.406957 | − | 1.51878i | −0.393461 | − | 0.919341i | \(-0.628722\pi\) |
0.800418 | − | 0.599442i | \(-0.204611\pi\) | |||||||
\(822\) | 10.2439 | + | 2.74484i | 0.357296 | + | 0.0957371i | ||||
\(823\) | 14.0251 | + | 52.3426i | 0.488886 | + | 1.82455i | 0.561886 | + | 0.827215i | \(0.310076\pi\) |
−0.0730000 | + | 0.997332i | \(0.523257\pi\) | |||||||
\(824\) | −8.89096 | + | 8.89096i | −0.309731 | + | 0.309731i | ||||
\(825\) | −2.66222 | − | 1.87099i | −0.0926865 | − | 0.0651396i | ||||
\(826\) | 10.6943 | + | 39.9117i | 0.372103 | + | 1.38871i | ||||
\(827\) | − | 16.3486i | − | 0.568495i | −0.958751 | − | 0.284248i | \(-0.908256\pi\) | ||
0.958751 | − | 0.284248i | \(-0.0917438\pi\) | |||||||
\(828\) | 2.28118 | − | 0.611240i | 0.0792765 | − | 0.0212421i | ||||
\(829\) | 5.01544 | + | 8.68700i | 0.174193 | + | 0.301712i | 0.939882 | − | 0.341500i | \(-0.110935\pi\) |
−0.765688 | + | 0.643212i | \(0.777602\pi\) | |||||||
\(830\) | −3.22669 | − | 1.02045i | −0.112000 | − | 0.0354203i | ||||
\(831\) | 3.95910i | 0.137340i | ||||||||
\(832\) | −1.78771 | − | 3.13115i | −0.0619778 | − | 0.108553i | ||||
\(833\) | −0.169449 | − | 0.169449i | −0.00587104 | − | 0.00587104i | ||||
\(834\) | −15.8864 | − | 4.25674i | −0.550100 | − | 0.147399i | ||||
\(835\) | −38.2490 | − | 12.0963i | −1.32366 | − | 0.418611i | ||||
\(836\) | 0.575536 | + | 0.332286i | 0.0199053 | + | 0.0114923i | ||||
\(837\) | −1.98781 | −0.0687089 | ||||||||
\(838\) | 9.10788 | + | 5.25844i | 0.314626 | + | 0.181650i | ||||
\(839\) | 35.1464 | − | 9.41745i | 1.21339 | − | 0.325126i | 0.405298 | − | 0.914185i | \(-0.367168\pi\) |
0.808090 | + | 0.589058i | \(0.200501\pi\) | |||||||
\(840\) | 6.97169 | + | 0.310447i | 0.240546 | + | 0.0107114i | ||||
\(841\) | 27.7839 | − | 48.1231i | 0.958065 | − | 1.65942i | ||||
\(842\) | −0.755170 | + | 2.81833i | −0.0260249 | + | 0.0971262i | ||||
\(843\) | −11.7885 | − | 20.4183i | −0.406017 | − | 0.703242i | ||||
\(844\) | −12.6902 | −0.436813 | ||||||||
\(845\) | −28.4443 | + | 5.99327i | −0.978515 | + | 0.206175i | ||||
\(846\) | −4.74221 | −0.163041 | ||||||||
\(847\) | −16.5042 | − | 28.5861i | −0.567091 | − | 0.982230i | ||||
\(848\) | 2.23632 | − | 8.34606i | 0.0767955 | − | 0.286605i | ||||
\(849\) | −15.4682 | + | 26.7917i | −0.530866 | + | 0.919488i | ||||
\(850\) | 0.335453 | − | 0.280489i | 0.0115059 | − | 0.00962069i | ||||
\(851\) | 17.3389 | − | 4.64595i | 0.594370 | − | 0.159261i | ||||
\(852\) | −11.6626 | − | 6.73341i | −0.399554 | − | 0.230683i | ||||
\(853\) | 42.9923 | 1.47203 | 0.736014 | − | 0.676966i | \(-0.236706\pi\) | ||||
0.736014 | + | 0.676966i | \(0.236706\pi\) | |||||||
\(854\) | 18.3908 | + | 10.6179i | 0.629320 | + | 0.363338i | ||||
\(855\) | −2.02635 | + | 1.05262i | −0.0692997 | + | 0.0359988i | ||||
\(856\) | −3.21069 | − | 0.860303i | −0.109739 | − | 0.0294045i | ||||
\(857\) | −5.82329 | − | 5.82329i | −0.198920 | − | 0.198920i | 0.600617 | − | 0.799537i | \(-0.294922\pi\) |
−0.799537 | + | 0.600617i | \(0.794922\pi\) | |||||||
\(858\) | 1.16342 | + | 2.03770i | 0.0397184 | + | 0.0695660i | ||||
\(859\) | − | 55.5796i | − | 1.89635i | −0.317745 | − | 0.948176i | \(-0.602926\pi\) | ||
0.317745 | − | 0.948176i | \(-0.397074\pi\) | |||||||
\(860\) | 10.3849 | + | 19.9916i | 0.354123 | + | 0.681707i | ||||
\(861\) | −5.43246 | − | 9.40930i | −0.185138 | − | 0.320668i | ||||
\(862\) | −17.4038 | + | 4.66334i | −0.592777 | + | 0.158834i | ||||
\(863\) | − | 19.0552i | − | 0.648648i | −0.945946 | − | 0.324324i | \(-0.894863\pi\) | ||
0.945946 | − | 0.324324i | \(-0.105137\pi\) | |||||||
\(864\) | −0.258819 | − | 0.965926i | −0.00880520 | − | 0.0328615i | ||||
\(865\) | −0.395337 | + | 0.619369i | −0.0134419 | + | 0.0210592i | ||||
\(866\) | 24.9556 | − | 24.9556i | 0.848025 | − | 0.848025i | ||||
\(867\) | −4.39794 | − | 16.4134i | −0.149362 | − | 0.557427i | ||||
\(868\) | 5.99242 | + | 1.60567i | 0.203396 | + | 0.0544998i | ||||
\(869\) | −1.75902 | + | 6.56474i | −0.0596706 | + | 0.222694i | ||||
\(870\) | 20.5427 | + | 0.914758i | 0.696462 | + | 0.0310132i | ||||
\(871\) | −19.7142 | + | 33.7692i | −0.667990 | + | 1.14423i | ||||
\(872\) | 8.53927 | − | 8.53927i | 0.289176 | − | 0.289176i | ||||
\(873\) | −4.43146 | + | 2.55851i | −0.149982 | + | 0.0865923i | ||||
\(874\) | 2.08858 | − | 1.20584i | 0.0706472 | − | 0.0407882i | ||||
\(875\) | −34.6062 | + | 4.46445i | −1.16990 | + | 0.150926i | ||||
\(876\) | 1.73354 | + | 1.73354i | 0.0585708 | + | 0.0585708i | ||||
\(877\) | 9.33343 | − | 16.1660i | 0.315167 | − | 0.545886i | −0.664306 | − | 0.747461i | \(-0.731273\pi\) |
0.979473 | + | 0.201575i | \(0.0646060\pi\) | |||||||
\(878\) | 2.75416 | − | 4.77035i | 0.0929486 | − | 0.160992i | ||||
\(879\) | 14.3835 | + | 14.3835i | 0.485145 | + | 0.485145i | ||||
\(880\) | 0.782942 | − | 1.22662i | 0.0263930 | − | 0.0413495i | ||||
\(881\) | −46.5157 | + | 26.8559i | −1.56715 | + | 0.904797i | −0.570655 | + | 0.821190i | \(0.693311\pi\) |
−0.996499 | + | 0.0836066i | \(0.973356\pi\) | |||||||
\(882\) | 2.37305 | − | 1.37008i | 0.0799047 | − | 0.0461330i | ||||
\(883\) | 35.7537 | − | 35.7537i | 1.20321 | − | 1.20321i | 0.230022 | − | 0.973185i | \(-0.426120\pi\) |
0.973185 | − | 0.230022i | \(-0.0738798\pi\) | |||||||
\(884\) | −0.304963 | + | 0.0801421i | −0.0102570 | + | 0.00269547i | ||||
\(885\) | −21.8441 | + | 19.9816i | −0.734282 | + | 0.671675i | ||||
\(886\) | −0.581110 | + | 2.16873i | −0.0195228 | + | 0.0728600i | ||||
\(887\) | 22.6118 | + | 6.05881i | 0.759229 | + | 0.203435i | 0.617608 | − | 0.786486i | \(-0.288102\pi\) |
0.141621 | + | 0.989921i | \(0.454769\pi\) | |||||||
\(888\) | −1.96725 | − | 7.34186i | −0.0660165 | − | 0.246377i | ||||
\(889\) | 13.2321 | − | 13.2321i | 0.443792 | − | 0.443792i | ||||
\(890\) | −35.2844 | − | 22.5217i | −1.18274 | − | 0.754929i | ||||
\(891\) | 0.168435 | + | 0.628610i | 0.00564280 | + | 0.0210592i | ||||
\(892\) | − | 14.3269i | − | 0.479699i | ||||||
\(893\) | −4.67766 | + | 1.25338i | −0.156532 | + | 0.0419426i | ||||
\(894\) | 6.82280 | + | 11.8174i | 0.228189 | + | 0.395234i | ||||
\(895\) | 14.7761 | − | 46.7226i | 0.493911 | − | 1.56176i | ||||
\(896\) | 3.12092i | 0.104263i | ||||||||
\(897\) | 8.51495 | + | 0.0410211i | 0.284306 | + | 0.00136965i | ||||
\(898\) | 20.3981 | + | 20.3981i | 0.680694 | + | 0.680694i | ||||
\(899\) | 17.6572 | + | 4.73123i | 0.588901 | + | 0.157795i | ||||
\(900\) | 2.10523 | + | 4.53520i | 0.0701743 | + | 0.151173i | ||||
\(901\) | −0.654403 | − | 0.377820i | −0.0218013 | − | 0.0125870i | ||||
\(902\) | −2.26559 | −0.0754359 | ||||||||
\(903\) | 27.2302 | + | 15.7214i | 0.906164 | + | 0.523174i | ||||
\(904\) | 6.59892 | − | 1.76817i | 0.219477 | − | 0.0588086i | ||||
\(905\) | 10.0839 | − | 9.22414i | 0.335201 | − | 0.306621i | ||||
\(906\) | 7.99266 | − | 13.8437i | 0.265538 | − | 0.459926i | ||||
\(907\) | −4.19075 | + | 15.6401i | −0.139152 | + | 0.519321i | 0.860795 | + | 0.508953i | \(0.169967\pi\) |
−0.999946 | + | 0.0103686i | \(0.996700\pi\) | |||||||
\(908\) | −8.50979 | − | 14.7394i | −0.282407 | − | 0.489144i | ||||
\(909\) | −4.15400 | −0.137779 | ||||||||
\(910\) | 23.9537 | + | 7.70255i | 0.794058 | + | 0.255337i | ||||
\(911\) | 38.0093 | 1.25930 | 0.629652 | − | 0.776878i | \(-0.283198\pi\) | ||||
0.629652 | + | 0.776878i | \(0.283198\pi\) | |||||||
\(912\) | −0.510593 | − | 0.884372i | −0.0169074 | − | 0.0292845i | ||||
\(913\) | −0.254921 | + | 0.951377i | −0.00843664 | + | 0.0314860i | ||||
\(914\) | −20.0655 | + | 34.7545i | −0.663709 | + | 1.14958i | ||||
\(915\) | −0.676847 | + | 15.1999i | −0.0223759 | + | 0.502494i | ||||
\(916\) | 16.1510 | − | 4.32765i | 0.533644 | − | 0.142990i | ||||
\(917\) | −12.5316 | − | 7.23509i | −0.413828 | − | 0.238924i | ||||
\(918\) | −0.0874535 | −0.00288640 | ||||||||
\(919\) | 19.0118 | + | 10.9764i | 0.627140 | + | 0.362079i | 0.779644 | − | 0.626224i | \(-0.215400\pi\) |
−0.152504 | + | 0.988303i | \(0.548734\pi\) | |||||||
\(920\) | −2.43434 | − | 4.68625i | −0.0802580 | − | 0.154501i | ||||
\(921\) | 13.8033 | + | 3.69858i | 0.454833 | + | 0.121872i | ||||
\(922\) | −11.9094 | − | 11.9094i | −0.392214 | − | 0.392214i | ||||
\(923\) | −34.1680 | − | 34.4988i | −1.12465 | − | 1.13554i | ||||
\(924\) | − | 2.03105i | − | 0.0668166i | ||||||
\(925\) | 16.0016 | + | 34.4714i | 0.526128 | + | 1.13341i | ||||
\(926\) | −19.2972 | − | 33.4238i | −0.634146 | − | 1.09837i | ||||
\(927\) | −12.1453 | + | 3.25432i | −0.398903 | + | 0.106886i | ||||
\(928\) | 9.19607i | 0.301876i | ||||||||
\(929\) | 0.995429 | + | 3.71499i | 0.0326590 | + | 0.121885i | 0.980331 | − | 0.197361i | \(-0.0632371\pi\) |
−0.947672 | + | 0.319246i | \(0.896570\pi\) | |||||||
\(930\) | 0.958287 | + | 4.34036i | 0.0314235 | + | 0.142326i | ||||
\(931\) | 1.97863 | − | 1.97863i | 0.0648471 | − | 0.0648471i | ||||
\(932\) | −0.418630 | − | 1.56235i | −0.0137127 | − | 0.0511764i | ||||
\(933\) | 23.8170 | + | 6.38174i | 0.779733 | + | 0.208929i | ||||
\(934\) | 5.57295 | − | 20.7985i | 0.182353 | − | 0.680549i | ||||
\(935\) | −0.0858957 | − | 0.0939021i | −0.00280909 | − | 0.00307093i | ||||
\(936\) | 0.0173697 | − | 3.60551i | 0.000567745 | − | 0.117850i | ||||
\(937\) | −10.4193 | + | 10.4193i | −0.340384 | + | 0.340384i | −0.856512 | − | 0.516128i | \(-0.827373\pi\) |
0.516128 | + | 0.856512i | \(0.327373\pi\) | |||||||
\(938\) | 29.3121 | − | 16.9234i | 0.957075 | − | 0.552567i | ||||
\(939\) | −4.54805 | + | 2.62582i | −0.148420 | + | 0.0856903i | ||||
\(940\) | 2.28613 | + | 10.3545i | 0.0745653 | + | 0.337728i | ||||
\(941\) | 16.9717 | + | 16.9717i | 0.553261 | + | 0.553261i | 0.927380 | − | 0.374120i | \(-0.122055\pi\) |
−0.374120 | + | 0.927380i | \(0.622055\pi\) | |||||||
\(942\) | −1.59929 | + | 2.77005i | −0.0521076 | + | 0.0902530i | ||||
\(943\) | −4.11083 | + | 7.12016i | −0.133867 | + | 0.231864i | ||||
\(944\) | −9.36178 | − | 9.36178i | −0.304700 | − | 0.304700i | ||||
\(945\) | 5.88243 | + | 3.75470i | 0.191356 | + | 0.122140i | ||||
\(946\) | 5.67812 | − | 3.27827i | 0.184612 | − | 0.106586i | ||||
\(947\) | −9.43813 | + | 5.44911i | −0.306698 | + | 0.177072i | −0.645448 | − | 0.763804i | \(-0.723329\pi\) |
0.338750 | + | 0.940876i | \(0.389996\pi\) | |||||||
\(948\) | 7.38450 | − | 7.38450i | 0.239838 | − | 0.239838i | ||||
\(949\) | 4.38274 | + | 7.67630i | 0.142270 | + | 0.249183i | ||||
\(950\) | 3.27524 | + | 3.91705i | 0.106263 | + | 0.127086i | ||||
\(951\) | 2.65066 | − | 9.89239i | 0.0859534 | − | 0.320783i | ||||
\(952\) | 0.263636 | + | 0.0706409i | 0.00854448 | + | 0.00228949i | ||||
\(953\) | 11.9355 | + | 44.5437i | 0.386627 | + | 1.44291i | 0.835586 | + | 0.549360i | \(0.185129\pi\) |
−0.448958 | + | 0.893553i | \(0.648205\pi\) | |||||||
\(954\) | 6.10974 | − | 6.10974i | 0.197810 | − | 0.197810i | ||||
\(955\) | −10.5278 | + | 2.32438i | −0.340671 | + | 0.0752151i | ||||
\(956\) | 0.0681589 | + | 0.254373i | 0.00220442 | + | 0.00822700i | ||||
\(957\) | − | 5.98466i | − | 0.193457i | ||||||
\(958\) | −14.8789 | + | 3.98679i | −0.480716 | + | 0.128807i | ||||
\(959\) | −16.5491 | − | 28.6638i | −0.534397 | − | 0.925602i | ||||
\(960\) | −1.98431 | + | 1.03078i | −0.0640434 | + | 0.0332683i | ||||
\(961\) | − | 27.0486i | − | 0.872535i | ||||||
\(962\) | 0.132024 | − | 27.4050i | 0.00425663 | − | 0.883571i | ||||
\(963\) | −2.35039 | − | 2.35039i | −0.0757403 | − | 0.0757403i | ||||
\(964\) | −26.0709 | − | 6.98567i | −0.839686 | − | 0.224993i | ||||
\(965\) | 2.06548 | − | 6.53111i | 0.0664901 | − | 0.210244i | ||||
\(966\) | −6.38306 | − | 3.68526i | −0.205372 | − | 0.118571i | ||||
\(967\) | −26.6512 | −0.857045 | −0.428523 | − | 0.903531i | \(-0.640966\pi\) | ||||
−0.428523 | + | 0.903531i | \(0.640966\pi\) | |||||||
\(968\) | 9.15950 | + | 5.28824i | 0.294397 | + | 0.169970i | ||||
\(969\) | −0.0862632 | + | 0.0231141i | −0.00277117 | + | 0.000742533i | ||||
\(970\) | 7.72278 | + | 8.44262i | 0.247964 | + | 0.271076i | ||||
\(971\) | −9.75446 | + | 16.8952i | −0.313036 | + | 0.542194i | −0.979018 | − | 0.203774i | \(-0.934679\pi\) |
0.665982 | + | 0.745967i | \(0.268013\pi\) | |||||||
\(972\) | 0.258819 | − | 0.965926i | 0.00830162 | − | 0.0309821i | ||||
\(973\) | 25.6646 | + | 44.4524i | 0.822769 | + | 1.42508i | ||||
\(974\) | −18.8536 | −0.604107 | ||||||||
\(975\) | 3.01411 | + | 17.7740i | 0.0965286 | + | 0.569224i | ||||
\(976\) | −6.80435 | −0.217802 | ||||||||
\(977\) | −1.63443 | − | 2.83092i | −0.0522902 | − | 0.0905692i | 0.838696 | − | 0.544601i | \(-0.183319\pi\) |
−0.890986 | + | 0.454031i | \(0.849985\pi\) | |||||||
\(978\) | −4.09726 | + | 15.2912i | −0.131016 | + | 0.488958i | ||||
\(979\) | −6.09139 | + | 10.5506i | −0.194682 | + | 0.337199i | ||||
\(980\) | −4.13555 | − | 4.52102i | −0.132105 | − | 0.144419i | ||||
\(981\) | 11.6649 | − | 3.12559i | 0.372430 | − | 0.0997924i | ||||
\(982\) | −4.22759 | − | 2.44080i | −0.134908 | − | 0.0778891i | ||||
\(983\) | −25.7470 | −0.821200 | −0.410600 | − | 0.911816i | \(-0.634681\pi\) | ||||
−0.410600 | + | 0.911816i | \(0.634681\pi\) | |||||||
\(984\) | 3.01491 | + | 1.74066i | 0.0961118 | + | 0.0554902i | ||||
\(985\) | −1.39323 | + | 4.40545i | −0.0443921 | + | 0.140369i | ||||
\(986\) | 0.776825 | + | 0.208150i | 0.0247392 | + | 0.00662884i | ||||
\(987\) | 10.4652 | + | 10.4652i | 0.333112 | + | 0.333112i | ||||
\(988\) | −0.935811 | − | 3.56103i | −0.0297721 | − | 0.113291i | ||||
\(989\) | − | 23.7932i | − | 0.756579i | ||||||
\(990\) | 1.29136 | − | 0.670817i | 0.0410421 | − | 0.0213200i | ||||
\(991\) | 9.43090 | + | 16.3348i | 0.299582 | + | 0.518892i | 0.976040 | − | 0.217589i | \(-0.0698193\pi\) |
−0.676458 | + | 0.736481i | \(0.736486\pi\) | |||||||
\(992\) | −1.92008 | + | 0.514484i | −0.0609626 | + | 0.0163349i | ||||
\(993\) | − | 23.1443i | − | 0.734463i | ||||||
\(994\) | 10.8779 | + | 40.5968i | 0.345025 | + | 1.28765i | ||||
\(995\) | 9.14973 | − | 2.02012i | 0.290066 | − | 0.0640423i | ||||
\(996\) | 1.07018 | − | 1.07018i | 0.0339099 | − | 0.0339099i | ||||
\(997\) | 2.75805 | + | 10.2932i | 0.0873484 | + | 0.325989i | 0.995749 | − | 0.0921133i | \(-0.0293622\pi\) |
−0.908400 | + | 0.418102i | \(0.862696\pi\) | |||||||
\(998\) | −8.36641 | − | 2.24177i | −0.264834 | − | 0.0709621i | ||||
\(999\) | 1.96725 | − | 7.34186i | 0.0622409 | − | 0.232286i |
(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.193.2 | yes | 16 | |
5.2 | odd | 4 | 390.2.bd.b.37.4 | ✓ | 16 | ||
13.6 | odd | 12 | 390.2.bd.b.253.4 | yes | 16 | ||
65.32 | even | 12 | inner | 390.2.bn.b.97.2 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
390.2.bd.b.37.4 | ✓ | 16 | 5.2 | odd | 4 | ||
390.2.bd.b.253.4 | yes | 16 | 13.6 | odd | 12 | ||
390.2.bn.b.97.2 | yes | 16 | 65.32 | even | 12 | inner | |
390.2.bn.b.193.2 | yes | 16 | 1.1 | even | 1 | trivial |