Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(137,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 8, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.137");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.ch (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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(152\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 305.25 | ||
Character | \(\chi\) | \(=\) | 546.305 |
Dual form | 546.2.ch.a.401.25 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(e\left(\frac{5}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | + | 0.707107i | 0.500000 | + | 0.500000i | ||||
\(3\) | −1.24738 | − | 1.20169i | −0.720173 | − | 0.693795i | ||||
\(4\) | 1.00000i | 0.500000i | ||||||||
\(5\) | 0.505894 | − | 1.88802i | 0.226243 | − | 0.844349i | −0.755660 | − | 0.654964i | \(-0.772684\pi\) |
0.981903 | − | 0.189385i | \(-0.0606496\pi\) | |||||||
\(6\) | −0.0323060 | − | 1.73175i | −0.0131889 | − | 0.706984i | ||||
\(7\) | −2.61407 | + | 0.408204i | −0.988026 | + | 0.154286i | ||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | 0.111892 | + | 2.99791i | 0.0372973 | + | 0.999304i | ||||
\(10\) | 1.69275 | − | 0.977313i | 0.535296 | − | 0.309053i | ||||
\(11\) | −3.42642 | − | 0.918106i | −1.03310 | − | 0.276819i | −0.297851 | − | 0.954612i | \(-0.596270\pi\) |
−0.735253 | + | 0.677793i | \(0.762937\pi\) | |||||||
\(12\) | 1.20169 | − | 1.24738i | 0.346897 | − | 0.360086i | ||||
\(13\) | −1.12860 | − | 3.42436i | −0.313018 | − | 0.949747i | ||||
\(14\) | −2.13707 | − | 1.55978i | −0.571156 | − | 0.416870i | ||||
\(15\) | −2.89985 | + | 1.74715i | −0.748739 | + | 0.451111i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | −2.53611 | −0.615097 | −0.307549 | − | 0.951532i | \(-0.599509\pi\) | ||||
−0.307549 | + | 0.951532i | \(0.599509\pi\) | |||||||
\(18\) | −2.04072 | + | 2.19896i | −0.481003 | + | 0.518301i | ||||
\(19\) | 1.58408 | + | 5.91185i | 0.363412 | + | 1.35627i | 0.869561 | + | 0.493825i | \(0.164402\pi\) |
−0.506149 | + | 0.862446i | \(0.668932\pi\) | |||||||
\(20\) | 1.88802 | + | 0.505894i | 0.422175 | + | 0.113121i | ||||
\(21\) | 3.75126 | + | 2.63212i | 0.818593 | + | 0.574375i | ||||
\(22\) | −1.77364 | − | 3.07204i | −0.378142 | − | 0.654962i | ||||
\(23\) | −6.64429 | −1.38543 | −0.692715 | − | 0.721211i | \(-0.743586\pi\) | ||||
−0.692715 | + | 0.721211i | \(0.743586\pi\) | |||||||
\(24\) | 1.73175 | − | 0.0323060i | 0.353492 | − | 0.00659443i | ||||
\(25\) | 1.02143 | + | 0.589721i | 0.204285 | + | 0.117944i | ||||
\(26\) | 1.62335 | − | 3.21943i | 0.318364 | − | 0.631383i | ||||
\(27\) | 3.46298 | − | 3.87398i | 0.666452 | − | 0.745548i | ||||
\(28\) | −0.408204 | − | 2.61407i | −0.0771432 | − | 0.494013i | ||||
\(29\) | −7.81199 | − | 4.51025i | −1.45065 | − | 0.837533i | −0.452132 | − | 0.891951i | \(-0.649336\pi\) |
−0.998518 | + | 0.0544178i | \(0.982670\pi\) | |||||||
\(30\) | −3.28593 | − | 0.815088i | −0.599925 | − | 0.148814i | ||||
\(31\) | −0.215339 | − | 0.803657i | −0.0386761 | − | 0.144341i | 0.943888 | − | 0.330266i | \(-0.107138\pi\) |
−0.982564 | + | 0.185925i | \(0.940472\pi\) | |||||||
\(32\) | −0.707107 | − | 0.707107i | −0.125000 | − | 0.125000i | ||||
\(33\) | 3.17075 | + | 5.26271i | 0.551957 | + | 0.916120i | ||||
\(34\) | −1.79330 | − | 1.79330i | −0.307549 | − | 0.307549i | ||||
\(35\) | −0.551746 | + | 5.14193i | −0.0932621 | + | 0.869146i | ||||
\(36\) | −2.99791 | + | 0.111892i | −0.499652 | + | 0.0186486i | ||||
\(37\) | −3.90449 | − | 3.90449i | −0.641894 | − | 0.641894i | 0.309127 | − | 0.951021i | \(-0.399963\pi\) |
−0.951021 | + | 0.309127i | \(0.899963\pi\) | |||||||
\(38\) | −3.06020 | + | 5.30042i | −0.496430 | + | 0.859841i | ||||
\(39\) | −2.70722 | + | 5.62769i | −0.433503 | + | 0.901152i | ||||
\(40\) | 0.977313 | + | 1.69275i | 0.154527 | + | 0.267648i | ||||
\(41\) | 6.19829 | − | 1.66083i | 0.968010 | − | 0.259377i | 0.260023 | − | 0.965603i | \(-0.416270\pi\) |
0.707987 | + | 0.706225i | \(0.249603\pi\) | |||||||
\(42\) | 0.791357 | + | 4.51373i | 0.122109 | + | 0.696484i | ||||
\(43\) | −4.42594 | + | 2.55532i | −0.674950 | + | 0.389682i | −0.797950 | − | 0.602724i | \(-0.794082\pi\) |
0.123000 | + | 0.992407i | \(0.460749\pi\) | |||||||
\(44\) | 0.918106 | − | 3.42642i | 0.138410 | − | 0.516552i | ||||
\(45\) | 5.71673 | + | 1.30537i | 0.852200 | + | 0.194593i | ||||
\(46\) | −4.69822 | − | 4.69822i | −0.692715 | − | 0.692715i | ||||
\(47\) | −11.1371 | − | 2.98417i | −1.62451 | − | 0.435286i | −0.672187 | − | 0.740381i | \(-0.734645\pi\) |
−0.952322 | + | 0.305095i | \(0.901312\pi\) | |||||||
\(48\) | 1.24738 | + | 1.20169i | 0.180043 | + | 0.173449i | ||||
\(49\) | 6.66674 | − | 2.13415i | 0.952391 | − | 0.304878i | ||||
\(50\) | 0.305262 | + | 1.13925i | 0.0431705 | + | 0.161115i | ||||
\(51\) | 3.16348 | + | 3.04761i | 0.442976 | + | 0.426751i | ||||
\(52\) | 3.42436 | − | 1.12860i | 0.474874 | − | 0.156509i | ||||
\(53\) | 4.87278 | + | 2.81330i | 0.669328 | + | 0.386437i | 0.795822 | − | 0.605531i | \(-0.207039\pi\) |
−0.126494 | + | 0.991967i | \(0.540372\pi\) | |||||||
\(54\) | 5.18802 | − | 0.290619i | 0.706000 | − | 0.0395482i | ||||
\(55\) | −3.46681 | + | 6.00469i | −0.467465 | + | 0.809672i | ||||
\(56\) | 1.55978 | − | 2.13707i | 0.208435 | − | 0.285578i | ||||
\(57\) | 5.12826 | − | 9.27786i | 0.679255 | − | 1.22888i | ||||
\(58\) | −2.33468 | − | 8.71314i | −0.306558 | − | 1.14409i | ||||
\(59\) | 7.16184 | − | 7.16184i | 0.932392 | − | 0.932392i | −0.0654632 | − | 0.997855i | \(-0.520852\pi\) |
0.997855 | + | 0.0654632i | \(0.0208525\pi\) | |||||||
\(60\) | −1.74715 | − | 2.89985i | −0.225556 | − | 0.374370i | ||||
\(61\) | 5.60901 | − | 9.71509i | 0.718160 | − | 1.24389i | −0.243568 | − | 0.969884i | \(-0.578318\pi\) |
0.961728 | − | 0.274006i | \(-0.0883488\pi\) | |||||||
\(62\) | 0.416003 | − | 0.720539i | 0.0528325 | − | 0.0915085i | ||||
\(63\) | −1.51625 | − | 7.79108i | −0.191030 | − | 0.981584i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −7.03623 | + | 0.398463i | −0.872737 | + | 0.0494233i | ||||
\(66\) | −1.47924 | + | 5.96336i | −0.182081 | + | 0.734039i | ||||
\(67\) | 11.5062 | + | 3.08307i | 1.40570 | + | 0.376657i | 0.880389 | − | 0.474252i | \(-0.157282\pi\) |
0.525313 | + | 0.850909i | \(0.323948\pi\) | |||||||
\(68\) | − | 2.53611i | − | 0.307549i | ||||||
\(69\) | 8.28793 | + | 7.98437i | 0.997749 | + | 0.961205i | ||||
\(70\) | −4.02604 | + | 3.24575i | −0.481204 | + | 0.387942i | ||||
\(71\) | 1.52491 | − | 5.69106i | 0.180974 | − | 0.675404i | −0.814483 | − | 0.580188i | \(-0.802979\pi\) |
0.995457 | − | 0.0952161i | \(-0.0303542\pi\) | |||||||
\(72\) | −2.19896 | − | 2.04072i | −0.259150 | − | 0.240502i | ||||
\(73\) | −10.3618 | + | 2.77643i | −1.21275 | + | 0.324957i | −0.807842 | − | 0.589399i | \(-0.799365\pi\) |
−0.404913 | + | 0.914355i | \(0.632698\pi\) | |||||||
\(74\) | − | 5.52178i | − | 0.641894i | ||||||
\(75\) | −0.565442 | − | 1.96304i | −0.0652916 | − | 0.226672i | ||||
\(76\) | −5.91185 | + | 1.58408i | −0.678136 | + | 0.181706i | ||||
\(77\) | 9.33168 | + | 1.00132i | 1.06344 | + | 0.114111i | ||||
\(78\) | −5.89368 | + | 2.06509i | −0.667327 | + | 0.233825i | ||||
\(79\) | 5.90403 | + | 10.2261i | 0.664255 | + | 1.15052i | 0.979487 | + | 0.201509i | \(0.0645845\pi\) |
−0.315232 | + | 0.949015i | \(0.602082\pi\) | |||||||
\(80\) | −0.505894 | + | 1.88802i | −0.0565607 | + | 0.211087i | ||||
\(81\) | −8.97496 | + | 0.670883i | −0.997218 | + | 0.0745426i | ||||
\(82\) | 5.55723 | + | 3.20847i | 0.613694 | + | 0.354316i | ||||
\(83\) | 0.859699 | + | 0.859699i | 0.0943642 | + | 0.0943642i | 0.752713 | − | 0.658349i | \(-0.228745\pi\) |
−0.658349 | + | 0.752713i | \(0.728745\pi\) | |||||||
\(84\) | −2.63212 | + | 3.75126i | −0.287187 | + | 0.409296i | ||||
\(85\) | −1.28300 | + | 4.78824i | −0.139161 | + | 0.519357i | ||||
\(86\) | −4.93650 | − | 1.32273i | −0.532316 | − | 0.142634i | ||||
\(87\) | 4.32457 | + | 15.0136i | 0.463642 | + | 1.60962i | ||||
\(88\) | 3.07204 | − | 1.77364i | 0.327481 | − | 0.189071i | ||||
\(89\) | 1.99327 | − | 1.99327i | 0.211286 | − | 0.211286i | −0.593528 | − | 0.804814i | \(-0.702265\pi\) |
0.804814 | + | 0.593528i | \(0.202265\pi\) | |||||||
\(90\) | 3.11930 | + | 4.96538i | 0.328803 | + | 0.523397i | ||||
\(91\) | 4.34809 | + | 8.49083i | 0.455803 | + | 0.890081i | ||||
\(92\) | − | 6.64429i | − | 0.692715i | ||||||
\(93\) | −0.697136 | + | 1.26123i | −0.0722896 | + | 0.130784i | ||||
\(94\) | −5.76497 | − | 9.98523i | −0.594612 | − | 1.02990i | ||||
\(95\) | 11.9631 | 1.22739 | ||||||||
\(96\) | 0.0323060 | + | 1.73175i | 0.00329722 | + | 0.176746i | ||||
\(97\) | 6.95381 | + | 1.86327i | 0.706052 | + | 0.189186i | 0.593940 | − | 0.804509i | \(-0.297572\pi\) |
0.112112 | + | 0.993696i | \(0.464238\pi\) | |||||||
\(98\) | 6.22317 | + | 3.20503i | 0.628635 | + | 0.323757i | ||||
\(99\) | 2.36901 | − | 10.3748i | 0.238095 | − | 1.04271i | ||||
\(100\) | −0.589721 | + | 1.02143i | −0.0589721 | + | 0.102143i | ||||
\(101\) | 2.71777 | + | 4.70732i | 0.270429 | + | 0.468396i | 0.968972 | − | 0.247172i | \(-0.0795012\pi\) |
−0.698543 | + | 0.715568i | \(0.746168\pi\) | |||||||
\(102\) | 0.0819316 | + | 4.39191i | 0.00811244 | + | 0.434864i | ||||
\(103\) | −10.5376 | + | 6.08387i | −1.03830 | + | 0.599461i | −0.919350 | − | 0.393440i | \(-0.871285\pi\) |
−0.118947 | + | 0.992901i | \(0.537952\pi\) | |||||||
\(104\) | 3.21943 | + | 1.62335i | 0.315691 | + | 0.159182i | ||||
\(105\) | 6.86724 | − | 5.75090i | 0.670174 | − | 0.561230i | ||||
\(106\) | 1.45627 | + | 5.43488i | 0.141446 | + | 0.527882i | ||||
\(107\) | − | 7.08782i | − | 0.685205i | −0.939480 | − | 0.342602i | \(-0.888692\pi\) | ||
0.939480 | − | 0.342602i | \(-0.111308\pi\) | |||||||
\(108\) | 3.87398 | + | 3.46298i | 0.372774 | + | 0.333226i | ||||
\(109\) | 2.13828 | + | 7.98018i | 0.204810 | + | 0.764362i | 0.989507 | + | 0.144483i | \(0.0461519\pi\) |
−0.784697 | + | 0.619879i | \(0.787181\pi\) | |||||||
\(110\) | −6.69736 | + | 1.79455i | −0.638568 | + | 0.171104i | ||||
\(111\) | 0.178387 | + | 9.56234i | 0.0169317 | + | 0.907617i | ||||
\(112\) | 2.61407 | − | 0.408204i | 0.247007 | − | 0.0385716i | ||||
\(113\) | −9.45842 | + | 5.46082i | −0.889774 | + | 0.513711i | −0.873868 | − | 0.486163i | \(-0.838396\pi\) |
−0.0159051 | + | 0.999874i | \(0.505063\pi\) | |||||||
\(114\) | 10.1867 | − | 2.93421i | 0.954069 | − | 0.274814i | ||||
\(115\) | −3.36131 | + | 12.5446i | −0.313444 | + | 1.16979i | ||||
\(116\) | 4.51025 | − | 7.81199i | 0.418767 | − | 0.725325i | ||||
\(117\) | 10.1397 | − | 3.76661i | 0.937412 | − | 0.348223i | ||||
\(118\) | 10.1284 | 0.932392 | ||||||||
\(119\) | 6.62958 | − | 1.03525i | 0.607732 | − | 0.0949012i | ||||
\(120\) | 0.815088 | − | 3.28593i | 0.0744070 | − | 0.299963i | ||||
\(121\) | 1.37114 | + | 0.791629i | 0.124649 | + | 0.0719662i | ||||
\(122\) | 10.8358 | − | 2.90344i | 0.981025 | − | 0.262865i | ||||
\(123\) | −9.72739 | − | 5.37673i | −0.877089 | − | 0.484804i | ||||
\(124\) | 0.803657 | − | 0.215339i | 0.0721705 | − | 0.0193380i | ||||
\(125\) | 8.54078 | − | 8.54078i | 0.763911 | − | 0.763911i | ||||
\(126\) | 4.43698 | − | 6.58128i | 0.395277 | − | 0.586307i | ||||
\(127\) | −11.1018 | − | 6.40962i | −0.985124 | − | 0.568762i | −0.0813110 | − | 0.996689i | \(-0.525911\pi\) |
−0.903813 | + | 0.427927i | \(0.859244\pi\) | |||||||
\(128\) | 0.707107 | − | 0.707107i | 0.0625000 | − | 0.0625000i | ||||
\(129\) | 8.59151 | + | 2.13116i | 0.756440 | + | 0.187638i | ||||
\(130\) | −5.25712 | − | 4.69361i | −0.461080 | − | 0.411657i | ||||
\(131\) | −4.78950 | + | 2.76522i | −0.418461 | + | 0.241598i | −0.694419 | − | 0.719571i | \(-0.744338\pi\) |
0.275958 | + | 0.961170i | \(0.411005\pi\) | |||||||
\(132\) | −5.26271 | + | 3.17075i | −0.458060 | + | 0.275979i | ||||
\(133\) | −6.55412 | − | 14.8074i | −0.568315 | − | 1.28396i | ||||
\(134\) | 5.95603 | + | 10.3161i | 0.514523 | + | 0.891180i | ||||
\(135\) | −5.56226 | − | 8.49802i | −0.478723 | − | 0.731393i | ||||
\(136\) | 1.79330 | − | 1.79330i | 0.153774 | − | 0.153774i | ||||
\(137\) | 8.89989 | − | 8.89989i | 0.760369 | − | 0.760369i | −0.216020 | − | 0.976389i | \(-0.569308\pi\) |
0.976389 | + | 0.216020i | \(0.0693077\pi\) | |||||||
\(138\) | 0.214650 | + | 11.5062i | 0.0182723 | + | 0.979477i | ||||
\(139\) | −5.11177 | − | 8.85384i | −0.433574 | − | 0.750973i | 0.563604 | − | 0.826045i | \(-0.309415\pi\) |
−0.997178 | + | 0.0750724i | \(0.976081\pi\) | |||||||
\(140\) | −5.14193 | − | 0.551746i | −0.434573 | − | 0.0466310i | ||||
\(141\) | 10.3061 | + | 17.1057i | 0.867928 | + | 1.44056i | ||||
\(142\) | 5.10246 | − | 2.94591i | 0.428189 | − | 0.247215i | ||||
\(143\) | 0.723139 | + | 12.7695i | 0.0604719 | + | 1.06784i | ||||
\(144\) | −0.111892 | − | 2.99791i | −0.00932431 | − | 0.249826i | ||||
\(145\) | −12.4675 | + | 12.4675i | −1.03537 | + | 1.03537i | ||||
\(146\) | −9.29012 | − | 5.36365i | −0.768856 | − | 0.443899i | ||||
\(147\) | −10.8805 | − | 5.34926i | −0.897409 | − | 0.441199i | ||||
\(148\) | 3.90449 | − | 3.90449i | 0.320947 | − | 0.320947i | ||||
\(149\) | −20.4208 | + | 5.47173i | −1.67294 | + | 0.448262i | −0.965900 | − | 0.258915i | \(-0.916635\pi\) |
−0.707036 | + | 0.707177i | \(0.749968\pi\) | |||||||
\(150\) | 0.988250 | − | 1.78791i | 0.0806903 | − | 0.145982i | ||||
\(151\) | 2.30442 | − | 0.617468i | 0.187531 | − | 0.0502488i | −0.163831 | − | 0.986488i | \(-0.552385\pi\) |
0.351362 | + | 0.936240i | \(0.385719\pi\) | |||||||
\(152\) | −5.30042 | − | 3.06020i | −0.429921 | − | 0.248215i | ||||
\(153\) | −0.283770 | − | 7.60304i | −0.0229414 | − | 0.614669i | ||||
\(154\) | 5.89045 | + | 7.30653i | 0.474666 | + | 0.588777i | ||||
\(155\) | −1.62626 | −0.130624 | ||||||||
\(156\) | −5.62769 | − | 2.70722i | −0.450576 | − | 0.216751i | ||||
\(157\) | 5.47220 | − | 9.47812i | 0.436729 | − | 0.756437i | −0.560706 | − | 0.828015i | \(-0.689470\pi\) |
0.997435 | + | 0.0715782i | \(0.0228036\pi\) | |||||||
\(158\) | −3.05615 | + | 11.4057i | −0.243134 | + | 0.907389i | ||||
\(159\) | −2.69748 | − | 9.36481i | −0.213924 | − | 0.742678i | ||||
\(160\) | −1.69275 | + | 0.977313i | −0.133824 | + | 0.0772633i | ||||
\(161\) | 17.3687 | − | 2.71222i | 1.36884 | − | 0.213753i | ||||
\(162\) | −6.82064 | − | 5.87187i | −0.535880 | − | 0.461338i | ||||
\(163\) | 19.7291 | − | 5.28639i | 1.54530 | − | 0.414062i | 0.617326 | − | 0.786707i | \(-0.288216\pi\) |
0.927974 | + | 0.372645i | \(0.121549\pi\) | |||||||
\(164\) | 1.66083 | + | 6.19829i | 0.129689 | + | 0.484005i | ||||
\(165\) | 11.5402 | − | 3.32408i | 0.898402 | − | 0.258779i | ||||
\(166\) | 1.21580i | 0.0943642i | ||||||||
\(167\) | 0.700037 | + | 2.61257i | 0.0541705 | + | 0.202167i | 0.987707 | − | 0.156314i | \(-0.0499613\pi\) |
−0.933537 | + | 0.358481i | \(0.883295\pi\) | |||||||
\(168\) | −4.51373 | + | 0.791357i | −0.348242 | + | 0.0610545i | ||||
\(169\) | −10.4525 | + | 7.72949i | −0.804039 | + | 0.594576i | ||||
\(170\) | −4.29302 | + | 2.47857i | −0.329259 | + | 0.190098i | ||||
\(171\) | −17.5460 | + | 5.41041i | −1.34177 | + | 0.413744i | ||||
\(172\) | −2.55532 | − | 4.42594i | −0.194841 | − | 0.337475i | ||||
\(173\) | 4.29069 | − | 7.43170i | 0.326215 | − | 0.565022i | −0.655542 | − | 0.755159i | \(-0.727560\pi\) |
0.981758 | + | 0.190137i | \(0.0608932\pi\) | |||||||
\(174\) | −7.55826 | + | 13.6741i | −0.572990 | + | 1.03663i | ||||
\(175\) | −2.91081 | − | 1.12462i | −0.220036 | − | 0.0850134i | ||||
\(176\) | 3.42642 | + | 0.918106i | 0.258276 | + | 0.0692048i | ||||
\(177\) | −17.5398 | + | 0.327207i | −1.31837 | + | 0.0245944i | ||||
\(178\) | 2.81890 | 0.211286 | ||||||||
\(179\) | 1.02031 | + | 1.76722i | 0.0762612 | + | 0.132088i | 0.901634 | − | 0.432500i | \(-0.142368\pi\) |
−0.825373 | + | 0.564588i | \(0.809035\pi\) | |||||||
\(180\) | −1.30537 | + | 5.71673i | −0.0972967 | + | 0.426100i | ||||
\(181\) | 3.77689i | 0.280734i | 0.990100 | + | 0.140367i | \(0.0448283\pi\) | ||||
−0.990100 | + | 0.140367i | \(0.955172\pi\) | |||||||
\(182\) | −2.92936 | + | 9.07848i | −0.217139 | + | 0.672942i | ||||
\(183\) | −18.6710 | + | 5.37809i | −1.38020 | + | 0.397560i | ||||
\(184\) | 4.69822 | − | 4.69822i | 0.346358 | − | 0.346358i | ||||
\(185\) | −9.34702 | + | 5.39651i | −0.687207 | + | 0.396759i | ||||
\(186\) | −1.38478 | + | 0.398876i | −0.101537 | + | 0.0292470i | ||||
\(187\) | 8.68978 | + | 2.32842i | 0.635459 | + | 0.170271i | ||||
\(188\) | 2.98417 | − | 11.1371i | 0.217643 | − | 0.812254i | ||||
\(189\) | −7.47112 | + | 11.5405i | −0.543444 | + | 0.839446i | ||||
\(190\) | 8.45917 | + | 8.45917i | 0.613693 | + | 0.613693i | ||||
\(191\) | −8.57497 | − | 4.95076i | −0.620463 | − | 0.358224i | 0.156586 | − | 0.987664i | \(-0.449951\pi\) |
−0.777049 | + | 0.629440i | \(0.783284\pi\) | |||||||
\(192\) | −1.20169 | + | 1.24738i | −0.0867244 | + | 0.0900216i | ||||
\(193\) | 1.01017 | − | 3.76999i | 0.0727134 | − | 0.271370i | −0.919992 | − | 0.391938i | \(-0.871805\pi\) |
0.992705 | + | 0.120568i | \(0.0384715\pi\) | |||||||
\(194\) | 3.59956 | + | 6.23461i | 0.258433 | + | 0.447619i | ||||
\(195\) | 9.25565 | + | 7.95832i | 0.662811 | + | 0.569907i | ||||
\(196\) | 2.13415 | + | 6.66674i | 0.152439 | + | 0.476196i | ||||
\(197\) | −4.64694 | + | 1.24514i | −0.331081 | + | 0.0887129i | −0.420530 | − | 0.907279i | \(-0.638156\pi\) |
0.0894493 | + | 0.995991i | \(0.471489\pi\) | |||||||
\(198\) | 9.01126 | − | 5.66097i | 0.640402 | − | 0.402307i | ||||
\(199\) | − | 8.78409i | − | 0.622688i | −0.950297 | − | 0.311344i | \(-0.899221\pi\) | ||
0.950297 | − | 0.311344i | \(-0.100779\pi\) | |||||||
\(200\) | −1.13925 | + | 0.305262i | −0.0805573 | + | 0.0215853i | ||||
\(201\) | −10.6476 | − | 17.6726i | −0.751026 | − | 1.24653i | ||||
\(202\) | −1.40682 | + | 5.25034i | −0.0989838 | + | 0.369412i | ||||
\(203\) | 22.2622 | + | 8.60125i | 1.56250 | + | 0.603689i | ||||
\(204\) | −3.04761 | + | 3.16348i | −0.213376 | + | 0.221488i | ||||
\(205\) | − | 12.5427i | − | 0.876021i | ||||||
\(206\) | −11.7531 | − | 3.14924i | −0.818879 | − | 0.219418i | ||||
\(207\) | −0.743442 | − | 19.9190i | −0.0516728 | − | 1.38447i | ||||
\(208\) | 1.12860 | + | 3.42436i | 0.0782545 | + | 0.237437i | ||||
\(209\) | − | 21.7108i | − | 1.50177i | ||||||
\(210\) | 8.92237 | + | 0.789370i | 0.615702 | + | 0.0544717i | ||||
\(211\) | −8.63034 | + | 14.9482i | −0.594137 | + | 1.02908i | 0.399531 | + | 0.916720i | \(0.369173\pi\) |
−0.993668 | + | 0.112356i | \(0.964160\pi\) | |||||||
\(212\) | −2.81330 | + | 4.87278i | −0.193218 | + | 0.334664i | ||||
\(213\) | −8.74101 | + | 5.26641i | −0.598924 | + | 0.360849i | ||||
\(214\) | 5.01184 | − | 5.01184i | 0.342602 | − | 0.342602i | ||||
\(215\) | 2.58544 | + | 9.64900i | 0.176326 | + | 0.658056i | ||||
\(216\) | 0.290619 | + | 5.18802i | 0.0197741 | + | 0.353000i | ||||
\(217\) | 0.890968 | + | 2.01291i | 0.0604828 | + | 0.136645i | ||||
\(218\) | −4.13084 | + | 7.15483i | −0.279776 | + | 0.484586i | ||||
\(219\) | 16.2614 | + | 8.98838i | 1.09885 | + | 0.607378i | ||||
\(220\) | −6.00469 | − | 3.46681i | −0.404836 | − | 0.233732i | ||||
\(221\) | 2.86226 | + | 8.68456i | 0.192537 | + | 0.584187i | ||||
\(222\) | −6.63546 | + | 6.88774i | −0.445343 | + | 0.462275i | ||||
\(223\) | −4.00258 | − | 14.9378i | −0.268032 | − | 1.00031i | −0.960368 | − | 0.278735i | \(-0.910085\pi\) |
0.692336 | − | 0.721576i | \(-0.256582\pi\) | |||||||
\(224\) | 2.13707 | + | 1.55978i | 0.142789 | + | 0.104217i | ||||
\(225\) | −1.65364 | + | 3.12813i | −0.110243 | + | 0.208542i | ||||
\(226\) | −10.5495 | − | 2.82673i | −0.701742 | − | 0.188031i | ||||
\(227\) | −13.7448 | − | 13.7448i | −0.912278 | − | 0.912278i | 0.0841735 | − | 0.996451i | \(-0.473175\pi\) |
−0.996451 | + | 0.0841735i | \(0.973175\pi\) | |||||||
\(228\) | 9.27786 | + | 5.12826i | 0.614441 | + | 0.339627i | ||||
\(229\) | −1.38301 | + | 5.16146i | −0.0913917 | + | 0.341079i | −0.996448 | − | 0.0842139i | \(-0.973162\pi\) |
0.905056 | + | 0.425292i | \(0.139829\pi\) | |||||||
\(230\) | −11.2472 | + | 6.49355i | −0.741616 | + | 0.428172i | ||||
\(231\) | −10.4368 | − | 12.4628i | −0.686693 | − | 0.819991i | ||||
\(232\) | 8.71314 | − | 2.33468i | 0.572046 | − | 0.153279i | ||||
\(233\) | −2.67277 | − | 4.62938i | −0.175099 | − | 0.303281i | 0.765096 | − | 0.643916i | \(-0.222691\pi\) |
−0.940196 | + | 0.340635i | \(0.889358\pi\) | |||||||
\(234\) | 9.83322 | + | 4.50642i | 0.642817 | + | 0.294594i | ||||
\(235\) | −11.2684 | + | 19.5174i | −0.735067 | + | 1.27317i | ||||
\(236\) | 7.16184 | + | 7.16184i | 0.466196 | + | 0.466196i | ||||
\(237\) | 4.92401 | − | 19.8506i | 0.319849 | − | 1.28943i | ||||
\(238\) | 5.41985 | + | 3.95579i | 0.351317 | + | 0.256416i | ||||
\(239\) | 1.77800 | + | 1.77800i | 0.115009 | + | 0.115009i | 0.762269 | − | 0.647260i | \(-0.224085\pi\) |
−0.647260 | + | 0.762269i | \(0.724085\pi\) | |||||||
\(240\) | 2.89985 | − | 1.74715i | 0.187185 | − | 0.112778i | ||||
\(241\) | 0.541486 | + | 0.541486i | 0.0348802 | + | 0.0348802i | 0.724332 | − | 0.689452i | \(-0.242148\pi\) |
−0.689452 | + | 0.724332i | \(0.742148\pi\) | |||||||
\(242\) | 0.409777 | + | 1.52931i | 0.0263415 | + | 0.0983077i | ||||
\(243\) | 12.0013 | + | 9.94826i | 0.769886 | + | 0.638181i | ||||
\(244\) | 9.71509 | + | 5.60901i | 0.621945 | + | 0.359080i | ||||
\(245\) | −0.656653 | − | 13.6666i | −0.0419520 | − | 0.873128i | ||||
\(246\) | −3.07638 | − | 10.6802i | −0.196143 | − | 0.680946i | ||||
\(247\) | 18.4565 | − | 12.0966i | 1.17436 | − | 0.769687i | ||||
\(248\) | 0.720539 | + | 0.416003i | 0.0457543 | + | 0.0264162i | ||||
\(249\) | −0.0392775 | − | 2.10546i | −0.00248911 | − | 0.133428i | ||||
\(250\) | 12.0785 | 0.763911 | ||||||||
\(251\) | −4.20343 | − | 7.28055i | −0.265318 | − | 0.459544i | 0.702329 | − | 0.711853i | \(-0.252144\pi\) |
−0.967647 | + | 0.252308i | \(0.918810\pi\) | |||||||
\(252\) | 7.79108 | − | 1.51625i | 0.490792 | − | 0.0955149i | ||||
\(253\) | 22.7661 | + | 6.10016i | 1.43129 | + | 0.383514i | ||||
\(254\) | −3.31786 | − | 12.3824i | −0.208181 | − | 0.776943i | ||||
\(255\) | 7.35435 | − | 4.43096i | 0.460548 | − | 0.277477i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 6.24911 | 0.389808 | 0.194904 | − | 0.980822i | \(-0.437560\pi\) | ||||
0.194904 | + | 0.980822i | \(0.437560\pi\) | |||||||
\(258\) | 4.56816 | + | 7.58207i | 0.284401 | + | 0.472039i | ||||
\(259\) | 11.8004 | + | 8.61279i | 0.733244 | + | 0.535173i | ||||
\(260\) | −0.398463 | − | 7.03623i | −0.0247117 | − | 0.436368i | ||||
\(261\) | 12.6473 | − | 23.9243i | 0.782845 | − | 1.48088i | ||||
\(262\) | −5.34200 | − | 1.43138i | −0.330030 | − | 0.0884312i | ||||
\(263\) | −25.7211 | + | 14.8501i | −1.58603 | + | 0.915695i | −0.592078 | + | 0.805880i | \(0.701692\pi\) |
−0.993952 | + | 0.109815i | \(0.964974\pi\) | |||||||
\(264\) | −5.96336 | − | 1.47924i | −0.367019 | − | 0.0910407i | ||||
\(265\) | 7.77669 | − | 7.77669i | 0.477718 | − | 0.477718i | ||||
\(266\) | 5.83593 | − | 15.1049i | 0.357824 | − | 0.926138i | ||||
\(267\) | −4.88164 | + | 0.0910675i | −0.298751 | + | 0.00557324i | ||||
\(268\) | −3.08307 | + | 11.5062i | −0.188328 | + | 0.702851i | ||||
\(269\) | 24.7830i | 1.51105i | 0.655121 | + | 0.755524i | \(0.272618\pi\) | ||||
−0.655121 | + | 0.755524i | \(0.727382\pi\) | |||||||
\(270\) | 2.07589 | − | 9.94212i | 0.126335 | − | 0.605058i | ||||
\(271\) | −18.8800 | − | 18.8800i | −1.14688 | − | 1.14688i | −0.987164 | − | 0.159712i | \(-0.948944\pi\) |
−0.159712 | − | 0.987164i | \(-0.551056\pi\) | |||||||
\(272\) | 2.53611 | 0.153774 | ||||||||
\(273\) | 4.77963 | − | 15.8163i | 0.289276 | − | 0.957246i | ||||
\(274\) | 12.5863 | 0.760369 | ||||||||
\(275\) | −2.95841 | − | 2.95841i | −0.178399 | − | 0.178399i | ||||
\(276\) | −7.98437 | + | 8.28793i | −0.480602 | + | 0.498875i | ||||
\(277\) | − | 12.7942i | − | 0.768728i | −0.923182 | − | 0.384364i | \(-0.874421\pi\) | ||
0.923182 | − | 0.384364i | \(-0.125579\pi\) | |||||||
\(278\) | 2.64605 | − | 9.87518i | 0.158699 | − | 0.592274i | ||||
\(279\) | 2.38520 | − | 0.735491i | 0.142798 | − | 0.0440327i | ||||
\(280\) | −3.24575 | − | 4.02604i | −0.193971 | − | 0.240602i | ||||
\(281\) | 6.25598 | − | 6.25598i | 0.373200 | − | 0.373200i | −0.495441 | − | 0.868641i | \(-0.664994\pi\) |
0.868641 | + | 0.495441i | \(0.164994\pi\) | |||||||
\(282\) | −4.80804 | + | 19.3830i | −0.286315 | + | 1.15424i | ||||
\(283\) | −11.8593 | + | 6.84695i | −0.704961 | + | 0.407009i | −0.809192 | − | 0.587544i | \(-0.800095\pi\) |
0.104232 | + | 0.994553i | \(0.466762\pi\) | |||||||
\(284\) | 5.69106 | + | 1.52491i | 0.337702 | + | 0.0904870i | ||||
\(285\) | −14.9225 | − | 14.3759i | −0.883930 | − | 0.851554i | ||||
\(286\) | −8.51804 | + | 9.54072i | −0.503683 | + | 0.564154i | ||||
\(287\) | −15.5248 | + | 6.87168i | −0.916401 | + | 0.405623i | ||||
\(288\) | 2.04072 | − | 2.19896i | 0.120251 | − | 0.129575i | ||||
\(289\) | −10.5681 | −0.621655 | ||||||||
\(290\) | −17.6317 | −1.03537 | ||||||||
\(291\) | −6.43494 | − | 10.6805i | −0.377223 | − | 0.626102i | ||||
\(292\) | −2.77643 | − | 10.3618i | −0.162478 | − | 0.606377i | ||||
\(293\) | −4.43762 | − | 1.18906i | −0.259249 | − | 0.0694655i | 0.126854 | − | 0.991921i | \(-0.459512\pi\) |
−0.386102 | + | 0.922456i | \(0.626179\pi\) | |||||||
\(294\) | −3.91118 | − | 11.4762i | −0.228105 | − | 0.669304i | ||||
\(295\) | −9.89858 | − | 17.1448i | −0.576318 | − | 0.998211i | ||||
\(296\) | 5.52178 | 0.320947 | ||||||||
\(297\) | −15.4224 | + | 10.0945i | −0.894896 | + | 0.585742i | ||||
\(298\) | −18.3088 | − | 10.5706i | −1.06060 | − | 0.612337i | ||||
\(299\) | 7.49877 | + | 22.7525i | 0.433665 | + | 1.31581i | ||||
\(300\) | 1.96304 | − | 0.565442i | 0.113336 | − | 0.0326458i | ||||
\(301\) | 10.5266 | − | 8.48647i | 0.606745 | − | 0.489152i | ||||
\(302\) | 2.06609 | + | 1.19286i | 0.118890 | + | 0.0686412i | ||||
\(303\) | 2.26665 | − | 9.13772i | 0.130216 | − | 0.524948i | ||||
\(304\) | −1.58408 | − | 5.91185i | −0.0908529 | − | 0.339068i | ||||
\(305\) | −15.5047 | − | 15.5047i | −0.887799 | − | 0.887799i | ||||
\(306\) | 5.17551 | − | 5.57682i | 0.295864 | − | 0.318805i | ||||
\(307\) | −5.42627 | − | 5.42627i | −0.309694 | − | 0.309694i | 0.535097 | − | 0.844791i | \(-0.320275\pi\) |
−0.844791 | + | 0.535097i | \(0.820275\pi\) | |||||||
\(308\) | −1.00132 | + | 9.33168i | −0.0570554 | + | 0.531722i | ||||
\(309\) | 20.4552 | + | 5.07400i | 1.16366 | + | 0.288650i | ||||
\(310\) | −1.14994 | − | 1.14994i | −0.0653122 | − | 0.0653122i | ||||
\(311\) | −7.38492 | + | 12.7911i | −0.418760 | + | 0.725314i | −0.995815 | − | 0.0913914i | \(-0.970869\pi\) |
0.577055 | + | 0.816705i | \(0.304202\pi\) | |||||||
\(312\) | −2.06509 | − | 5.89368i | −0.116912 | − | 0.333664i | ||||
\(313\) | −9.11510 | − | 15.7878i | −0.515216 | − | 0.892380i | −0.999844 | − | 0.0176598i | \(-0.994378\pi\) |
0.484628 | − | 0.874720i | \(-0.338955\pi\) | |||||||
\(314\) | 10.5715 | − | 2.83262i | 0.596583 | − | 0.159854i | ||||
\(315\) | −15.4768 | − | 1.07875i | −0.872019 | − | 0.0607804i | ||||
\(316\) | −10.2261 | + | 5.90403i | −0.575262 | + | 0.332128i | ||||
\(317\) | −6.53071 | + | 24.3729i | −0.366801 | + | 1.36892i | 0.498162 | + | 0.867084i | \(0.334009\pi\) |
−0.864963 | + | 0.501836i | \(0.832658\pi\) | |||||||
\(318\) | 4.71451 | − | 8.52932i | 0.264377 | − | 0.478301i | ||||
\(319\) | 22.6263 | + | 22.6263i | 1.26683 | + | 1.26683i | ||||
\(320\) | −1.88802 | − | 0.505894i | −0.105544 | − | 0.0282803i | ||||
\(321\) | −8.51734 | + | 8.84117i | −0.475392 | + | 0.493466i | ||||
\(322\) | 14.1993 | + | 10.3637i | 0.791297 | + | 0.577544i | ||||
\(323\) | −4.01739 | − | 14.9931i | −0.223534 | − | 0.834239i | ||||
\(324\) | −0.670883 | − | 8.97496i | −0.0372713 | − | 0.498609i | ||||
\(325\) | 0.866632 | − | 4.16329i | 0.0480721 | − | 0.230938i | ||||
\(326\) | 17.6886 | + | 10.2125i | 0.979681 | + | 0.565619i | ||||
\(327\) | 6.92244 | − | 12.5238i | 0.382812 | − | 0.692569i | ||||
\(328\) | −3.20847 | + | 5.55723i | −0.177158 | + | 0.306847i | ||||
\(329\) | 30.3313 | + | 3.25464i | 1.67222 | + | 0.179434i | ||||
\(330\) | 10.5106 | + | 5.80966i | 0.578591 | + | 0.319811i | ||||
\(331\) | 5.03732 | + | 18.7996i | 0.276876 | + | 1.03332i | 0.954573 | + | 0.297976i | \(0.0963114\pi\) |
−0.677697 | + | 0.735341i | \(0.737022\pi\) | |||||||
\(332\) | −0.859699 | + | 0.859699i | −0.0471821 | + | 0.0471821i | ||||
\(333\) | 11.2684 | − | 12.1422i | 0.617507 | − | 0.665388i | ||||
\(334\) | −1.35237 | + | 2.34237i | −0.0739982 | + | 0.128169i | ||||
\(335\) | 11.6418 | − | 20.1642i | 0.636060 | − | 1.10169i | ||||
\(336\) | −3.75126 | − | 2.63212i | −0.204648 | − | 0.143594i | ||||
\(337\) | 4.64457i | 0.253006i | 0.991966 | + | 0.126503i | \(0.0403753\pi\) | ||||
−0.991966 | + | 0.126503i | \(0.959625\pi\) | |||||||
\(338\) | −12.8566 | − | 1.92547i | −0.699308 | − | 0.104732i | ||||
\(339\) | 18.3604 | + | 4.55438i | 0.997201 | + | 0.247360i | ||||
\(340\) | −4.78824 | − | 1.28300i | −0.259679 | − | 0.0695807i | ||||
\(341\) | 2.95137i | 0.159826i | ||||||||
\(342\) | −16.2326 | − | 8.58113i | −0.877759 | − | 0.464015i | ||||
\(343\) | −16.5562 | + | 8.30020i | −0.893949 | + | 0.448169i | ||||
\(344\) | 1.32273 | − | 4.93650i | 0.0713168 | − | 0.266158i | ||||
\(345\) | 19.2675 | − | 11.6086i | 1.03733 | − | 0.624983i | ||||
\(346\) | 8.28899 | − | 2.22103i | 0.445619 | − | 0.119403i | ||||
\(347\) | − | 16.2364i | − | 0.871618i | −0.900039 | − | 0.435809i | \(-0.856462\pi\) | ||
0.900039 | − | 0.435809i | \(-0.143538\pi\) | |||||||
\(348\) | −15.0136 | + | 4.32457i | −0.804811 | + | 0.231821i | ||||
\(349\) | 8.30463 | − | 2.22522i | 0.444536 | − | 0.119113i | −0.0296054 | − | 0.999562i | \(-0.509425\pi\) |
0.474142 | + | 0.880448i | \(0.342758\pi\) | |||||||
\(350\) | −1.26302 | − | 2.85348i | −0.0675114 | − | 0.152525i | ||||
\(351\) | −17.1743 | − | 7.48633i | −0.916694 | − | 0.399590i | ||||
\(352\) | 1.77364 | + | 3.07204i | 0.0945356 | + | 0.163740i | ||||
\(353\) | −7.15637 | + | 26.7079i | −0.380895 | + | 1.42152i | 0.463642 | + | 0.886023i | \(0.346542\pi\) |
−0.844537 | + | 0.535497i | \(0.820124\pi\) | |||||||
\(354\) | −12.6339 | − | 12.1711i | −0.671483 | − | 0.646889i | ||||
\(355\) | −9.97340 | − | 5.75814i | −0.529333 | − | 0.305611i | ||||
\(356\) | 1.99327 | + | 1.99327i | 0.105643 | + | 0.105643i | ||||
\(357\) | −9.51362 | − | 6.67534i | −0.503514 | − | 0.353296i | ||||
\(358\) | −0.528149 | + | 1.97108i | −0.0279135 | + | 0.104175i | ||||
\(359\) | 6.30441 | + | 1.68926i | 0.332734 | + | 0.0891558i | 0.421318 | − | 0.906913i | \(-0.361568\pi\) |
−0.0885842 | + | 0.996069i | \(0.528234\pi\) | |||||||
\(360\) | −4.96538 | + | 3.11930i | −0.261698 | + | 0.164402i | ||||
\(361\) | −15.9862 | + | 9.22963i | −0.841378 | + | 0.485770i | ||||
\(362\) | −2.67067 | + | 2.67067i | −0.140367 | + | 0.140367i | ||||
\(363\) | −0.759037 | − | 2.63514i | −0.0398391 | − | 0.138309i | ||||
\(364\) | −8.49083 | + | 4.34809i | −0.445040 | + | 0.227902i | ||||
\(365\) | 20.9679i | 1.09751i | ||||||||
\(366\) | −17.0053 | − | 9.39954i | −0.888882 | − | 0.491322i | ||||
\(367\) | −8.87685 | − | 15.3751i | −0.463368 | − | 0.802576i | 0.535759 | − | 0.844371i | \(-0.320026\pi\) |
−0.999126 | + | 0.0417949i | \(0.986692\pi\) | |||||||
\(368\) | 6.64429 | 0.346358 | ||||||||
\(369\) | 5.67255 | + | 18.3961i | 0.295301 | + | 0.957662i | ||||
\(370\) | −10.4252 | − | 2.79344i | −0.541983 | − | 0.145224i | ||||
\(371\) | −13.8862 | − | 5.36508i | −0.720936 | − | 0.278541i | ||||
\(372\) | −1.26123 | − | 0.697136i | −0.0653918 | − | 0.0361448i | ||||
\(373\) | −7.91561 | + | 13.7102i | −0.409855 | + | 0.709889i | −0.994873 | − | 0.101131i | \(-0.967754\pi\) |
0.585018 | + | 0.811020i | \(0.301087\pi\) | |||||||
\(374\) | 4.49816 | + | 7.79104i | 0.232594 | + | 0.402865i | ||||
\(375\) | −20.9169 | + | 0.390208i | −1.08015 | + | 0.0201502i | ||||
\(376\) | 9.98523 | − | 5.76497i | 0.514949 | − | 0.297306i | ||||
\(377\) | −6.62811 | + | 31.8414i | −0.341365 | + | 1.63991i | ||||
\(378\) | −13.4432 | + | 2.87747i | −0.691445 | + | 0.148001i | ||||
\(379\) | −1.80495 | − | 6.73617i | −0.0927141 | − | 0.346014i | 0.903949 | − | 0.427641i | \(-0.140655\pi\) |
−0.996663 | + | 0.0816269i | \(0.973988\pi\) | |||||||
\(380\) | 11.9631i | 0.613693i | ||||||||
\(381\) | 6.14574 | + | 21.3361i | 0.314856 | + | 1.09308i | ||||
\(382\) | −2.56270 | − | 9.56413i | −0.131119 | − | 0.489344i | ||||
\(383\) | 32.4182 | − | 8.68644i | 1.65649 | − | 0.443856i | 0.695074 | − | 0.718938i | \(-0.255372\pi\) |
0.961421 | + | 0.275082i | \(0.0887049\pi\) | |||||||
\(384\) | −1.73175 | + | 0.0323060i | −0.0883730 | + | 0.00164861i | ||||
\(385\) | 6.61135 | − | 17.1119i | 0.336946 | − | 0.872101i | ||||
\(386\) | 3.38008 | − | 1.95149i | 0.172042 | − | 0.0993284i | ||||
\(387\) | −8.15585 | − | 12.9827i | −0.414585 | − | 0.659946i | ||||
\(388\) | −1.86327 | + | 6.95381i | −0.0945930 | + | 0.353026i | ||||
\(389\) | −15.1589 | + | 26.2560i | −0.768587 | + | 1.33123i | 0.169743 | + | 0.985488i | \(0.445706\pi\) |
−0.938329 | + | 0.345743i | \(0.887627\pi\) | |||||||
\(390\) | 0.917351 | + | 12.1721i | 0.0464519 | + | 0.616359i | ||||
\(391\) | 16.8507 | 0.852175 | ||||||||
\(392\) | −3.20503 | + | 6.22317i | −0.161878 | + | 0.314317i | ||||
\(393\) | 9.29724 | + | 2.30622i | 0.468984 | + | 0.116333i | ||||
\(394\) | −4.16633 | − | 2.40543i | −0.209897 | − | 0.121184i | ||||
\(395\) | 22.2939 | − | 5.97363i | 1.12173 | − | 0.300566i | ||||
\(396\) | 10.3748 | + | 2.36901i | 0.521355 | + | 0.119047i | ||||
\(397\) | −17.2557 | + | 4.62365i | −0.866039 | + | 0.232055i | −0.664374 | − | 0.747400i | \(-0.731302\pi\) |
−0.201665 | + | 0.979455i | \(0.564635\pi\) | |||||||
\(398\) | 6.21129 | − | 6.21129i | 0.311344 | − | 0.311344i | ||||
\(399\) | −9.61839 | + | 26.3464i | −0.481522 | + | 1.31897i | ||||
\(400\) | −1.02143 | − | 0.589721i | −0.0510713 | − | 0.0294860i | ||||
\(401\) | 0.697848 | − | 0.697848i | 0.0348489 | − | 0.0348489i | −0.689468 | − | 0.724316i | \(-0.742155\pi\) |
0.724316 | + | 0.689468i | \(0.242155\pi\) | |||||||
\(402\) | 4.96738 | − | 20.0254i | 0.247751 | − | 0.998776i | ||||
\(403\) | −2.50898 | + | 1.64441i | −0.124981 | + | 0.0819138i | ||||
\(404\) | −4.70732 | + | 2.71777i | −0.234198 | + | 0.135214i | ||||
\(405\) | −3.27374 | + | 17.2843i | −0.162673 | + | 0.858865i | ||||
\(406\) | 9.65976 | + | 21.8238i | 0.479406 | + | 1.08309i | ||||
\(407\) | 9.79368 | + | 16.9631i | 0.485455 | + | 0.840832i | ||||
\(408\) | −4.39191 | + | 0.0819316i | −0.217432 | + | 0.00405622i | ||||
\(409\) | −4.54898 | + | 4.54898i | −0.224932 | + | 0.224932i | −0.810572 | − | 0.585639i | \(-0.800844\pi\) |
0.585639 | + | 0.810572i | \(0.300844\pi\) | |||||||
\(410\) | 8.86904 | − | 8.86904i | 0.438010 | − | 0.438010i | ||||
\(411\) | −21.7964 | + | 0.406614i | −1.07514 | + | 0.0200568i | ||||
\(412\) | −6.08387 | − | 10.5376i | −0.299731 | − | 0.519149i | ||||
\(413\) | −15.7981 | + | 21.6450i | −0.777372 | + | 1.06508i | ||||
\(414\) | 13.5592 | − | 14.6106i | 0.666397 | − | 0.718070i | ||||
\(415\) | 2.05805 | − | 1.18821i | 0.101026 | − | 0.0583271i | ||||
\(416\) | −1.62335 | + | 3.21943i | −0.0795911 | + | 0.157846i | ||||
\(417\) | −4.26326 | + | 17.1868i | −0.208773 | + | 0.841642i | ||||
\(418\) | 15.3519 | − | 15.3519i | 0.750884 | − | 0.750884i | ||||
\(419\) | 4.14630 | + | 2.39387i | 0.202560 | + | 0.116948i | 0.597849 | − | 0.801609i | \(-0.296022\pi\) |
−0.395289 | + | 0.918557i | \(0.629356\pi\) | |||||||
\(420\) | 5.75090 | + | 6.86724i | 0.280615 | + | 0.335087i | ||||
\(421\) | −0.472730 | + | 0.472730i | −0.0230395 | + | 0.0230395i | −0.718533 | − | 0.695493i | \(-0.755186\pi\) |
0.695493 | + | 0.718533i | \(0.255186\pi\) | |||||||
\(422\) | −16.6725 | + | 4.46739i | −0.811606 | + | 0.217469i | ||||
\(423\) | 7.70013 | − | 33.7219i | 0.374393 | − | 1.63961i | ||||
\(424\) | −5.43488 | + | 1.45627i | −0.263941 | + | 0.0707228i | ||||
\(425\) | −2.59045 | − | 1.49560i | −0.125655 | − | 0.0725471i | ||||
\(426\) | −9.90475 | − | 2.45691i | −0.479887 | − | 0.119038i | ||||
\(427\) | −10.6966 | + | 27.6856i | −0.517646 | + | 1.33980i | ||||
\(428\) | 7.08782 | 0.342602 | ||||||||
\(429\) | 14.4429 | − | 16.7973i | 0.697310 | − | 0.810982i | ||||
\(430\) | −4.99469 | + | 8.65106i | −0.240865 | + | 0.417191i | ||||
\(431\) | −1.02355 | + | 3.81994i | −0.0493027 | + | 0.184000i | −0.986186 | − | 0.165642i | \(-0.947030\pi\) |
0.936883 | + | 0.349643i | \(0.113697\pi\) | |||||||
\(432\) | −3.46298 | + | 3.87398i | −0.166613 | + | 0.186387i | ||||
\(433\) | 19.3037 | − | 11.1450i | 0.927677 | − | 0.535595i | 0.0416011 | − | 0.999134i | \(-0.486754\pi\) |
0.886076 | + | 0.463540i | \(0.153421\pi\) | |||||||
\(434\) | −0.793336 | + | 2.05335i | −0.0380813 | + | 0.0985642i | ||||
\(435\) | 30.5337 | − | 0.569610i | 1.46398 | − | 0.0273107i | ||||
\(436\) | −7.98018 | + | 2.13828i | −0.382181 | + | 0.102405i | ||||
\(437\) | −10.5251 | − | 39.2801i | −0.503482 | − | 1.87902i | ||||
\(438\) | 5.14283 | + | 17.8543i | 0.245734 | + | 0.853112i | ||||
\(439\) | − | 15.3657i | − | 0.733364i | −0.930346 | − | 0.366682i | \(-0.880494\pi\) | ||
0.930346 | − | 0.366682i | \(-0.119506\pi\) | |||||||
\(440\) | −1.79455 | − | 6.69736i | −0.0855519 | − | 0.319284i | ||||
\(441\) | 7.14394 | + | 19.7475i | 0.340188 | + | 0.940358i | ||||
\(442\) | −4.11699 | + | 8.16484i | −0.195825 | + | 0.388362i | ||||
\(443\) | −21.4724 | + | 12.3971i | −1.02018 | + | 0.589004i | −0.914157 | − | 0.405359i | \(-0.867146\pi\) |
−0.106027 | + | 0.994363i | \(0.533813\pi\) | |||||||
\(444\) | −9.56234 | + | 0.178387i | −0.453809 | + | 0.00846585i | ||||
\(445\) | −2.75495 | − | 4.77171i | −0.130597 | − | 0.226201i | ||||
\(446\) | 7.73239 | − | 13.3929i | 0.366139 | − | 0.634172i | ||||
\(447\) | 32.0477 | + | 17.7141i | 1.51580 | + | 0.837849i | ||||
\(448\) | 0.408204 | + | 2.61407i | 0.0192858 | + | 0.123503i | ||||
\(449\) | 25.1155 | + | 6.72968i | 1.18527 | + | 0.317593i | 0.797016 | − | 0.603958i | \(-0.206411\pi\) |
0.388257 | + | 0.921551i | \(0.373077\pi\) | |||||||
\(450\) | −3.38122 | + | 1.04262i | −0.159392 | + | 0.0491496i | ||||
\(451\) | −22.7627 | −1.07186 | ||||||||
\(452\) | −5.46082 | − | 9.45842i | −0.256855 | − | 0.444887i | ||||
\(453\) | −3.61648 | − | 1.99898i | −0.169917 | − | 0.0939204i | ||||
\(454\) | − | 19.4382i | − | 0.912278i | ||||||
\(455\) | 18.2305 | − | 3.91383i | 0.854661 | − | 0.183483i | ||||
\(456\) | 2.93421 | + | 10.1867i | 0.137407 | + | 0.477034i | ||||
\(457\) | −12.5689 | + | 12.5689i | −0.587946 | + | 0.587946i | −0.937075 | − | 0.349128i | \(-0.886478\pi\) |
0.349128 | + | 0.937075i | \(0.386478\pi\) | |||||||
\(458\) | −4.62763 | + | 2.67177i | −0.216235 | + | 0.124843i | ||||
\(459\) | −8.78251 | + | 9.82485i | −0.409933 | + | 0.458585i | ||||
\(460\) | −12.5446 | − | 3.36131i | −0.584894 | − | 0.156722i | ||||
\(461\) | 7.94677 | − | 29.6577i | 0.370118 | − | 1.38130i | −0.490231 | − | 0.871593i | \(-0.663088\pi\) |
0.860349 | − | 0.509706i | \(-0.170246\pi\) | |||||||
\(462\) | 1.43256 | − | 16.1925i | 0.0666489 | − | 0.753342i | ||||
\(463\) | 4.70860 | + | 4.70860i | 0.218827 | + | 0.218827i | 0.808004 | − | 0.589177i | \(-0.200548\pi\) |
−0.589177 | + | 0.808004i | \(0.700548\pi\) | |||||||
\(464\) | 7.81199 | + | 4.51025i | 0.362663 | + | 0.209383i | ||||
\(465\) | 2.02856 | + | 1.95426i | 0.0940721 | + | 0.0906266i | ||||
\(466\) | 1.38353 | − | 5.16340i | 0.0640908 | − | 0.239190i | ||||
\(467\) | −12.7798 | − | 22.1352i | −0.591377 | − | 1.02430i | −0.994047 | − | 0.108950i | \(-0.965251\pi\) |
0.402670 | − | 0.915345i | \(-0.368082\pi\) | |||||||
\(468\) | 3.76661 | + | 10.1397i | 0.174112 | + | 0.468706i | ||||
\(469\) | −31.3365 | − | 3.36250i | −1.44698 | − | 0.155266i | ||||
\(470\) | −21.7688 | + | 5.83293i | −1.00412 | + | 0.269053i | ||||
\(471\) | −18.2156 | + | 5.24691i | −0.839332 | + | 0.241765i | ||||
\(472\) | 10.1284i | 0.466196i | ||||||||
\(473\) | 17.5112 | − | 4.69211i | 0.805165 | − | 0.215743i | ||||
\(474\) | 17.5183 | − | 10.5547i | 0.804641 | − | 0.484792i | ||||
\(475\) | −1.86832 | + | 6.97268i | −0.0857245 | + | 0.319928i | ||||
\(476\) | 1.03525 | + | 6.62958i | 0.0474506 | + | 0.303866i | ||||
\(477\) | −7.88881 | + | 14.9230i | −0.361204 | + | 0.683275i | ||||
\(478\) | 2.51448i | 0.115009i | ||||||||
\(479\) | 8.13879 | + | 2.18078i | 0.371871 | + | 0.0996425i | 0.439914 | − | 0.898040i | \(-0.355009\pi\) |
−0.0680431 | + | 0.997682i | \(0.521676\pi\) | |||||||
\(480\) | 3.28593 | + | 0.815088i | 0.149981 | + | 0.0372035i | ||||
\(481\) | −8.96377 | + | 17.7770i | −0.408713 | + | 0.810562i | ||||
\(482\) | 0.765776i | 0.0348802i | ||||||||
\(483\) | −24.9245 | − | 17.4885i | −1.13410 | − | 0.795756i | ||||
\(484\) | −0.791629 | + | 1.37114i | −0.0359831 | + | 0.0623246i | ||||
\(485\) | 7.03578 | − | 12.1863i | 0.319478 | − | 0.553353i | ||||
\(486\) | 1.45175 | + | 15.5207i | 0.0658526 | + | 0.704034i | ||||
\(487\) | 13.3275 | − | 13.3275i | 0.603927 | − | 0.603927i | −0.337425 | − | 0.941352i | \(-0.609556\pi\) |
0.941352 | + | 0.337425i | \(0.109556\pi\) | |||||||
\(488\) | 2.90344 | + | 10.8358i | 0.131432 | + | 0.490512i | ||||
\(489\) | −30.9622 | − | 17.1141i | −1.40016 | − | 0.773925i | ||||
\(490\) | 9.19943 | − | 10.1281i | 0.415588 | − | 0.457540i | ||||
\(491\) | 7.87704 | − | 13.6434i | 0.355486 | − | 0.615719i | −0.631715 | − | 0.775200i | \(-0.717649\pi\) |
0.987201 | + | 0.159481i | \(0.0509822\pi\) | |||||||
\(492\) | 5.37673 | − | 9.72739i | 0.242402 | − | 0.438545i | ||||
\(493\) | 19.8121 | + | 11.4385i | 0.892291 | + | 0.515165i | ||||
\(494\) | 21.6043 | + | 4.49716i | 0.972023 | + | 0.202337i | ||||
\(495\) | −18.3894 | − | 9.72132i | −0.826544 | − | 0.436941i | ||||
\(496\) | 0.215339 | + | 0.803657i | 0.00966901 | + | 0.0360853i | ||||
\(497\) | −1.66312 | + | 15.4993i | −0.0746013 | + | 0.695239i | ||||
\(498\) | 1.46101 | − | 1.51656i | 0.0654694 | − | 0.0679585i | ||||
\(499\) | 12.3274 | + | 3.30313i | 0.551852 | + | 0.147868i | 0.523960 | − | 0.851743i | \(-0.324454\pi\) |
0.0278916 | + | 0.999611i | \(0.491121\pi\) | |||||||
\(500\) | 8.54078 | + | 8.54078i | 0.381955 | + | 0.381955i | ||||
\(501\) | 2.26629 | − | 4.10009i | 0.101250 | − | 0.183178i | ||||
\(502\) | 2.17585 | − | 8.12040i | 0.0971131 | − | 0.362431i | ||||
\(503\) | 16.2100 | − | 9.35887i | 0.722770 | − | 0.417291i | −0.0930013 | − | 0.995666i | \(-0.529646\pi\) |
0.815771 | + | 0.578374i | \(0.196313\pi\) | |||||||
\(504\) | 6.58128 | + | 4.43698i | 0.293154 | + | 0.197639i | ||||
\(505\) | 10.2624 | − | 2.74981i | 0.456673 | − | 0.122365i | ||||
\(506\) | 11.7846 | + | 20.4115i | 0.523890 | + | 0.907404i | ||||
\(507\) | 22.3266 | + | 2.91908i | 0.991561 | + | 0.129641i | ||||
\(508\) | 6.40962 | − | 11.1018i | 0.284381 | − | 0.492562i | ||||
\(509\) | 1.70504 | + | 1.70504i | 0.0755745 | + | 0.0755745i | 0.743884 | − | 0.668309i | \(-0.232982\pi\) |
−0.668309 | + | 0.743884i | \(0.732982\pi\) | |||||||
\(510\) | 8.33347 | + | 2.06715i | 0.369012 | + | 0.0915351i | ||||
\(511\) | 25.9531 | − | 11.4875i | 1.14810 | − | 0.508177i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 28.3880 | + | 14.3360i | 1.25336 | + | 0.632948i | ||||
\(514\) | 4.41878 | + | 4.41878i | 0.194904 | + | 0.194904i | ||||
\(515\) | 6.15558 | + | 22.9730i | 0.271247 | + | 1.01231i | ||||
\(516\) | −2.13116 | + | 8.59151i | −0.0938191 | + | 0.378220i | ||||
\(517\) | 35.4205 | + | 20.4500i | 1.55779 | + | 0.899391i | ||||
\(518\) | 2.25401 | + | 14.4343i | 0.0990356 | + | 0.634208i | ||||
\(519\) | −14.2827 | + | 4.11405i | −0.626941 | + | 0.180587i | ||||
\(520\) | 4.69361 | − | 5.25712i | 0.205828 | − | 0.230540i | ||||
\(521\) | −26.5738 | − | 15.3424i | −1.16422 | − | 0.672163i | −0.211909 | − | 0.977289i | \(-0.567968\pi\) |
−0.952312 | + | 0.305126i | \(0.901301\pi\) | |||||||
\(522\) | 25.8600 | − | 7.97409i | 1.13186 | − | 0.349017i | ||||
\(523\) | 17.4701 | 0.763914 | 0.381957 | − | 0.924180i | \(-0.375250\pi\) | ||||
0.381957 | + | 0.924180i | \(0.375250\pi\) | |||||||
\(524\) | −2.76522 | − | 4.78950i | −0.120799 | − | 0.209230i | ||||
\(525\) | 2.27942 | + | 4.90071i | 0.0994822 | + | 0.213884i | ||||
\(526\) | −28.6882 | − | 7.68697i | −1.25086 | − | 0.335168i | ||||
\(527\) | 0.546124 | + | 2.03816i | 0.0237895 | + | 0.0887838i | ||||
\(528\) | −3.17075 | − | 5.26271i | −0.137989 | − | 0.229030i | ||||
\(529\) | 21.1466 | 0.919418 | ||||||||
\(530\) | 10.9979 | 0.477718 | ||||||||
\(531\) | 22.2719 | + | 20.6692i | 0.966519 | + | 0.896967i | ||||
\(532\) | 14.8074 | − | 6.55412i | 0.641981 | − | 0.284157i | ||||
\(533\) | −12.6827 | − | 19.3508i | −0.549348 | − | 0.838175i | ||||
\(534\) | −3.51623 | − | 3.38744i | −0.152162 | − | 0.146589i | ||||
\(535\) | −13.3820 | − | 3.58568i | −0.578552 | − | 0.155023i | ||||
\(536\) | −10.3161 | + | 5.95603i | −0.445590 | + | 0.257261i | ||||
\(537\) | 0.850944 | − | 3.43048i | 0.0367209 | − | 0.148036i | ||||
\(538\) | −17.5242 | + | 17.5242i | −0.755524 | + | 0.755524i | ||||
\(539\) | −24.8024 | + | 1.19171i | −1.06832 | + | 0.0513304i | ||||
\(540\) | 8.49802 | − | 5.56226i | 0.365697 | − | 0.239362i | ||||
\(541\) | 3.26775 | − | 12.1954i | 0.140492 | − | 0.524322i | −0.859423 | − | 0.511265i | \(-0.829177\pi\) |
0.999915 | − | 0.0130571i | \(-0.00415634\pi\) | |||||||
\(542\) | − | 26.7003i | − | 1.14688i | ||||||
\(543\) | 4.53864 | − | 4.71120i | 0.194772 | − | 0.202177i | ||||
\(544\) | 1.79330 | + | 1.79330i | 0.0768872 | + | 0.0768872i | ||||
\(545\) | 16.1485 | 0.691726 | ||||||||
\(546\) | 14.5635 | − | 7.80410i | 0.623261 | − | 0.333985i | ||||
\(547\) | 3.08215 | 0.131783 | 0.0658917 | − | 0.997827i | \(-0.479011\pi\) | ||||
0.0658917 | + | 0.997827i | \(0.479011\pi\) | |||||||
\(548\) | 8.89989 | + | 8.89989i | 0.380184 | + | 0.380184i | ||||
\(549\) | 29.7526 | + | 15.7283i | 1.26981 | + | 0.671267i | ||||
\(550\) | − | 4.18382i | − | 0.178399i | ||||||
\(551\) | 14.2892 | − | 53.3279i | 0.608739 | − | 2.27184i | ||||
\(552\) | −11.5062 | + | 0.214650i | −0.489739 | + | 0.00913613i | ||||
\(553\) | −19.6079 | − | 24.3217i | −0.833812 | − | 1.03426i | ||||
\(554\) | 9.04685 | − | 9.04685i | 0.384364 | − | 0.384364i | ||||
\(555\) | 18.1442 | + | 4.50074i | 0.770177 | + | 0.191046i | ||||
\(556\) | 8.85384 | − | 5.11177i | 0.375486 | − | 0.216787i | ||||
\(557\) | 42.0608 | + | 11.2702i | 1.78217 | + | 0.477532i | 0.990977 | − | 0.134029i | \(-0.0427915\pi\) |
0.791197 | + | 0.611561i | \(0.209458\pi\) | |||||||
\(558\) | 2.20666 | + | 1.16652i | 0.0934154 | + | 0.0493827i | ||||
\(559\) | 13.7455 | + | 12.2721i | 0.581371 | + | 0.519054i | ||||
\(560\) | 0.551746 | − | 5.14193i | 0.0233155 | − | 0.217286i | ||||
\(561\) | −8.04138 | − | 13.3468i | −0.339507 | − | 0.563503i | ||||
\(562\) | 8.84729 | 0.373200 | ||||||||
\(563\) | 4.78291 | 0.201576 | 0.100788 | − | 0.994908i | \(-0.467864\pi\) | ||||
0.100788 | + | 0.994908i | \(0.467864\pi\) | |||||||
\(564\) | −17.1057 | + | 10.3061i | −0.720278 | + | 0.433964i | ||||
\(565\) | 5.52520 | + | 20.6203i | 0.232447 | + | 0.867503i | ||||
\(566\) | −13.2273 | − | 3.54424i | −0.555985 | − | 0.148976i | ||||
\(567\) | 23.1873 | − | 5.41735i | 0.973776 | − | 0.227507i | ||||
\(568\) | 2.94591 | + | 5.10246i | 0.123608 | + | 0.214094i | ||||
\(569\) | 33.1751 | 1.39077 | 0.695386 | − | 0.718637i | \(-0.255234\pi\) | ||||
0.695386 | + | 0.718637i | \(0.255234\pi\) | |||||||
\(570\) | −0.386479 | − | 20.7171i | −0.0161878 | − | 0.867742i | ||||
\(571\) | 6.52137 | + | 3.76512i | 0.272911 | + | 0.157565i | 0.630210 | − | 0.776425i | \(-0.282969\pi\) |
−0.357299 | + | 0.933990i | \(0.616302\pi\) | |||||||
\(572\) | −12.7695 | + | 0.723139i | −0.533918 | + | 0.0302359i | ||||
\(573\) | 4.74694 | + | 16.4799i | 0.198306 | + | 0.688457i | ||||
\(574\) | −15.8367 | − | 6.11869i | −0.661012 | − | 0.255389i | ||||
\(575\) | −6.78665 | − | 3.91828i | −0.283023 | − | 0.163403i | ||||
\(576\) | 2.99791 | − | 0.111892i | 0.124913 | − | 0.00466216i | ||||
\(577\) | 3.71436 | + | 13.8622i | 0.154631 | + | 0.577090i | 0.999137 | + | 0.0415436i | \(0.0132275\pi\) |
−0.844506 | + | 0.535546i | \(0.820106\pi\) | |||||||
\(578\) | −7.47280 | − | 7.47280i | −0.310828 | − | 0.310828i | ||||
\(579\) | −5.79042 | + | 3.48869i | −0.240641 | + | 0.144985i | ||||
\(580\) | −12.4675 | − | 12.4675i | −0.517685 | − | 0.517685i | ||||
\(581\) | −2.59825 | − | 1.89638i | −0.107793 | − | 0.0786752i | ||||
\(582\) | 3.00206 | − | 12.1024i | 0.124439 | − | 0.501663i | ||||
\(583\) | −14.1133 | − | 14.1133i | −0.584512 | − | 0.584512i | ||||
\(584\) | 5.36365 | − | 9.29012i | 0.221950 | − | 0.384428i | ||||
\(585\) | −1.98185 | − | 21.0494i | −0.0819396 | − | 0.870286i | ||||
\(586\) | −2.29708 | − | 3.97867i | −0.0948916 | − | 0.164357i | ||||
\(587\) | −34.5575 | + | 9.25966i | −1.42634 | + | 0.382187i | −0.887729 | − | 0.460367i | \(-0.847718\pi\) |
−0.538612 | + | 0.842554i | \(0.681051\pi\) | |||||||
\(588\) | 5.34926 | − | 10.8805i | 0.220600 | − | 0.448705i | ||||
\(589\) | 4.40998 | − | 2.54611i | 0.181710 | − | 0.104910i | ||||
\(590\) | 5.12388 | − | 19.1226i | 0.210947 | − | 0.787264i | ||||
\(591\) | 7.29276 | + | 4.03101i | 0.299984 | + | 0.165814i | ||||
\(592\) | 3.90449 | + | 3.90449i | 0.160474 | + | 0.160474i | ||||
\(593\) | 28.8732 | + | 7.73655i | 1.18568 | + | 0.317702i | 0.797177 | − | 0.603745i | \(-0.206326\pi\) |
0.388503 | + | 0.921447i | \(0.372992\pi\) | |||||||
\(594\) | −18.0431 | − | 3.76737i | −0.740319 | − | 0.154577i | ||||
\(595\) | 1.39929 | − | 13.0405i | 0.0573653 | − | 0.534609i | ||||
\(596\) | −5.47173 | − | 20.4208i | −0.224131 | − | 0.836468i | ||||
\(597\) | −10.5557 | + | 10.9571i | −0.432017 | + | 0.448443i | ||||
\(598\) | −10.7860 | + | 21.3909i | −0.441072 | + | 0.874737i | ||||
\(599\) | 28.4385 | + | 16.4190i | 1.16196 | + | 0.670861i | 0.951774 | − | 0.306800i | \(-0.0992581\pi\) |
0.210191 | + | 0.977660i | \(0.432591\pi\) | |||||||
\(600\) | 1.78791 | + | 0.988250i | 0.0729909 | + | 0.0403451i | ||||
\(601\) | −10.4847 | + | 18.1600i | −0.427680 | + | 0.740764i | −0.996667 | − | 0.0815832i | \(-0.974002\pi\) |
0.568986 | + | 0.822347i | \(0.307336\pi\) | |||||||
\(602\) | 13.4443 | + | 1.44262i | 0.547949 | + | 0.0587966i | ||||
\(603\) | −7.95533 | + | 34.8395i | −0.323966 | + | 1.41877i | ||||
\(604\) | 0.617468 | + | 2.30442i | 0.0251244 | + | 0.0937656i | ||||
\(605\) | 2.18827 | − | 2.18827i | 0.0889656 | − | 0.0889656i | ||||
\(606\) | 8.06411 | − | 4.85858i | 0.327582 | − | 0.197366i | ||||
\(607\) | −4.81188 | + | 8.33441i | −0.195308 | + | 0.338283i | −0.947001 | − | 0.321229i | \(-0.895904\pi\) |
0.751693 | + | 0.659513i | \(0.229237\pi\) | |||||||
\(608\) | 3.06020 | − | 5.30042i | 0.124107 | − | 0.214960i | ||||
\(609\) | −17.4333 | − | 37.4812i | −0.706434 | − | 1.51882i | ||||
\(610\) | − | 21.9270i | − | 0.887799i | ||||||
\(611\) | 2.35046 | + | 41.5053i | 0.0950893 | + | 1.67913i | ||||
\(612\) | 7.60304 | − | 0.283770i | 0.307335 | − | 0.0114707i | ||||
\(613\) | 1.84344 | + | 0.493947i | 0.0744557 | + | 0.0199503i | 0.295855 | − | 0.955233i | \(-0.404396\pi\) |
−0.221399 | + | 0.975183i | \(0.571062\pi\) | |||||||
\(614\) | − | 7.67391i | − | 0.309694i | ||||||
\(615\) | −15.0724 | + | 15.6455i | −0.607779 | + | 0.630886i | ||||
\(616\) | −7.30653 | + | 5.89045i | −0.294388 | + | 0.237333i | ||||
\(617\) | −2.19996 | + | 8.21036i | −0.0885670 | + | 0.330536i | −0.995966 | − | 0.0897342i | \(-0.971398\pi\) |
0.907399 | + | 0.420271i | \(0.138065\pi\) | |||||||
\(618\) | 10.8762 | + | 18.0519i | 0.437503 | + | 0.726153i | ||||
\(619\) | 21.1857 | − | 5.67669i | 0.851524 | − | 0.228165i | 0.193443 | − | 0.981112i | \(-0.438035\pi\) |
0.658082 | + | 0.752946i | \(0.271368\pi\) | |||||||
\(620\) | − | 1.62626i | − | 0.0653122i | ||||||
\(621\) | −23.0091 | + | 25.7399i | −0.923323 | + | 1.03291i | ||||
\(622\) | −14.2666 | + | 3.82271i | −0.572037 | + | 0.153277i | ||||
\(623\) | −4.39688 | + | 6.02420i | −0.176157 | + | 0.241354i | ||||
\(624\) | 2.70722 | − | 5.62769i | 0.108376 | − | 0.225288i | ||||
\(625\) | −8.85586 | − | 15.3388i | −0.354234 | − | 0.613552i | ||||
\(626\) | 4.71832 | − | 17.6090i | 0.188582 | − | 0.703798i | ||||
\(627\) | −26.0896 | + | 27.0815i | −1.04192 | + | 1.08153i | ||||
\(628\) | 9.47812 | + | 5.47220i | 0.378218 | + | 0.218364i | ||||
\(629\) | 9.90222 | + | 9.90222i | 0.394827 | + | 0.394827i | ||||
\(630\) | −10.1810 | − | 11.7065i | −0.405619 | − | 0.466400i | ||||
\(631\) | 1.95596 | − | 7.29974i | 0.0778655 | − | 0.290598i | −0.916002 | − | 0.401173i | \(-0.868603\pi\) |
0.993868 | + | 0.110575i | \(0.0352692\pi\) | |||||||
\(632\) | −11.4057 | − | 3.05615i | −0.453695 | − | 0.121567i | ||||
\(633\) | 28.7283 | − | 8.27502i | 1.14185 | − | 0.328903i | ||||
\(634\) | −21.8522 | + | 12.6164i | −0.867861 | + | 0.501060i | ||||
\(635\) | −17.7178 | + | 17.7178i | −0.703111 | + | 0.703111i | ||||
\(636\) | 9.36481 | − | 2.69748i | 0.371339 | − | 0.106962i | ||||
\(637\) | −14.8322 | − | 20.4207i | −0.587673 | − | 0.809099i | ||||
\(638\) | 31.9984i | 1.26683i | ||||||||
\(639\) | 17.2319 | + | 3.93478i | 0.681684 | + | 0.155657i | ||||
\(640\) | −0.977313 | − | 1.69275i | −0.0386317 | − | 0.0669120i | ||||
\(641\) | −7.94978 | −0.313997 | −0.156999 | − | 0.987599i | \(-0.550182\pi\) | ||||
−0.156999 | + | 0.987599i | \(0.550182\pi\) | |||||||
\(642\) | −12.2743 | + | 0.228979i | −0.484429 | + | 0.00903708i | ||||
\(643\) | 24.7126 | + | 6.62172i | 0.974570 | + | 0.261135i | 0.710756 | − | 0.703438i | \(-0.248353\pi\) |
0.263814 | + | 0.964574i | \(0.415020\pi\) | |||||||
\(644\) | 2.71222 | + | 17.3687i | 0.106877 | + | 0.684421i | ||||
\(645\) | 8.37007 | − | 15.1428i | 0.329571 | − | 0.596248i | ||||
\(646\) | 7.76100 | − | 13.4425i | 0.305353 | − | 0.528886i | ||||
\(647\) | −8.25581 | − | 14.2995i | −0.324569 | − | 0.562170i | 0.656856 | − | 0.754016i | \(-0.271886\pi\) |
−0.981425 | + | 0.191846i | \(0.938553\pi\) | |||||||
\(648\) | 5.87187 | − | 6.82064i | 0.230669 | − | 0.267940i | ||||
\(649\) | −31.1148 | + | 17.9641i | −1.22136 | + | 0.705153i | ||||
\(650\) | 3.55669 | − | 2.33109i | 0.139505 | − | 0.0914329i | ||||
\(651\) | 1.30752 | − | 3.58152i | 0.0512459 | − | 0.140371i | ||||
\(652\) | 5.28639 | + | 19.7291i | 0.207031 | + | 0.772650i | ||||
\(653\) | 14.5471i | 0.569271i | 0.958636 | + | 0.284635i | \(0.0918725\pi\) | ||||
−0.958636 | + | 0.284635i | \(0.908128\pi\) | |||||||
\(654\) | 13.7506 | − | 3.96078i | 0.537691 | − | 0.154879i | ||||
\(655\) | 2.79782 | + | 10.4416i | 0.109320 | + | 0.407987i | ||||
\(656\) | −6.19829 | + | 1.66083i | −0.242002 | + | 0.0648444i | ||||
\(657\) | −9.48290 | − | 30.7531i | −0.369963 | − | 1.19979i | ||||
\(658\) | 19.1461 | + | 23.7488i | 0.746391 | + | 0.925825i | ||||
\(659\) | −22.4966 | + | 12.9884i | −0.876342 | + | 0.505956i | −0.869451 | − | 0.494020i | \(-0.835527\pi\) |
−0.00689143 | + | 0.999976i | \(0.502194\pi\) | |||||||
\(660\) | 3.32408 | + | 11.5402i | 0.129390 | + | 0.449201i | ||||
\(661\) | 5.38872 | − | 20.1110i | 0.209597 | − | 0.782226i | −0.778402 | − | 0.627766i | \(-0.783969\pi\) |
0.987999 | − | 0.154460i | \(-0.0493639\pi\) | |||||||
\(662\) | −9.73136 | + | 16.8552i | −0.378220 | + | 0.655097i | ||||
\(663\) | 6.86582 | − | 14.2725i | 0.266646 | − | 0.554296i | ||||
\(664\) | −1.21580 | −0.0471821 | ||||||||
\(665\) | −31.2723 | + | 4.88337i | −1.21269 | + | 0.189369i | ||||
\(666\) | 16.5538 | − | 0.617842i | 0.641447 | − | 0.0239409i | ||||
\(667\) | 51.9051 | + | 29.9675i | 2.00978 | + | 1.16034i | ||||
\(668\) | −2.61257 | + | 0.700037i | −0.101083 | + | 0.0270852i | ||||
\(669\) | −12.9579 | + | 23.4429i | −0.500981 | + | 0.906356i | ||||
\(670\) | 22.4902 | − | 6.02624i | 0.868874 | − | 0.232814i | ||||
\(671\) | −28.1383 | + | 28.1383i | −1.08627 | + | 1.08627i | ||||
\(672\) | −0.791357 | − | 4.51373i | −0.0305272 | − | 0.174121i | ||||
\(673\) | −42.3938 | − | 24.4761i | −1.63416 | − | 0.943484i | −0.982790 | − | 0.184726i | \(-0.940860\pi\) |
−0.651372 | − | 0.758758i | \(-0.725806\pi\) | |||||||
\(674\) | −3.28421 | + | 3.28421i | −0.126503 | + | 0.126503i | ||||
\(675\) | 5.82175 | − | 1.91479i | 0.224079 | − | 0.0737004i | ||||
\(676\) | −7.72949 | − | 10.4525i | −0.297288 | − | 0.402020i | ||||
\(677\) | −25.5319 | + | 14.7409i | −0.981273 | + | 0.566538i | −0.902654 | − | 0.430367i | \(-0.858384\pi\) |
−0.0786184 | + | 0.996905i | \(0.525051\pi\) | |||||||
\(678\) | 9.76234 | + | 16.2032i | 0.374920 | + | 0.622280i | ||||
\(679\) | −18.9383 | − | 2.03214i | −0.726787 | − | 0.0779865i | ||||
\(680\) | −2.47857 | − | 4.29302i | −0.0950490 | − | 0.164630i | ||||
\(681\) | 0.627969 | + | 33.6620i | 0.0240638 | + | 1.28993i | ||||
\(682\) | −2.08693 | + | 2.08693i | −0.0799128 | + | 0.0799128i | ||||
\(683\) | 28.0663 | − | 28.0663i | 1.07393 | − | 1.07393i | 0.0768873 | − | 0.997040i | \(-0.475502\pi\) |
0.997040 | − | 0.0768873i | \(-0.0244982\pi\) | |||||||
\(684\) | −5.41041 | − | 17.5460i | −0.206872 | − | 0.670887i | ||||
\(685\) | −12.3008 | − | 21.3056i | −0.469989 | − | 0.814045i | ||||
\(686\) | −17.5761 | − | 5.83785i | −0.671059 | − | 0.222890i | ||||
\(687\) | 7.92759 | − | 4.77633i | 0.302456 | − | 0.182228i | ||||
\(688\) | 4.42594 | − | 2.55532i | 0.168737 | − | 0.0974206i | ||||
\(689\) | 4.13433 | − | 19.8613i | 0.157505 | − | 0.756654i | ||||
\(690\) | 21.8327 | + | 5.41568i | 0.831155 | + | 0.206171i | ||||
\(691\) | 16.5377 | − | 16.5377i | 0.629122 | − | 0.629122i | −0.318725 | − | 0.947847i | \(-0.603255\pi\) |
0.947847 | + | 0.318725i | \(0.103255\pi\) | |||||||
\(692\) | 7.43170 | + | 4.29069i | 0.282511 | + | 0.163108i | ||||
\(693\) | −1.95773 | + | 28.0876i | −0.0743679 | + | 1.06696i | ||||
\(694\) | 11.4809 | − | 11.4809i | 0.435809 | − | 0.435809i | ||||
\(695\) | −19.3023 | + | 5.17203i | −0.732177 | + | 0.196186i | ||||
\(696\) | −13.6741 | − | 7.55826i | −0.518316 | − | 0.286495i | ||||
\(697\) | −15.7195 | + | 4.21204i | −0.595420 | + | 0.159542i | ||||
\(698\) | 7.44572 | + | 4.29879i | 0.281825 | + | 0.162712i | ||||
\(699\) | −2.22912 | + | 8.98642i | −0.0843130 | + | 0.339897i | ||||
\(700\) | 1.12462 | − | 2.91081i | 0.0425067 | − | 0.110018i | ||||
\(701\) | −14.3867 | −0.543379 | −0.271689 | − | 0.962385i | \(-0.587582\pi\) | ||||
−0.271689 | + | 0.962385i | \(0.587582\pi\) | |||||||
\(702\) | −6.85040 | − | 17.4377i | −0.258552 | − | 0.658142i | ||||
\(703\) | 16.8977 | − | 29.2678i | 0.637311 | − | 1.10385i | ||||
\(704\) | −0.918106 | + | 3.42642i | −0.0346024 | + | 0.129138i | ||||
\(705\) | 37.5097 | − | 10.8044i | 1.41270 | − | 0.406919i | ||||
\(706\) | −23.9457 | + | 13.8250i | −0.901207 | + | 0.520312i | ||||
\(707\) | −9.02600 | − | 11.1959i | −0.339458 | − | 0.421064i | ||||
\(708\) | −0.327207 | − | 17.5398i | −0.0122972 | − | 0.659186i | ||||
\(709\) | −35.3193 | + | 9.46378i | −1.32644 | + | 0.355420i | −0.851388 | − | 0.524536i | \(-0.824239\pi\) |
−0.475056 | + | 0.879955i | \(0.657572\pi\) | |||||||
\(710\) | −2.98063 | − | 11.1239i | −0.111861 | − | 0.417472i | ||||
\(711\) | −29.9963 | + | 18.8440i | −1.12495 | + | 0.706704i | ||||
\(712\) | 2.81890i | 0.105643i | ||||||||
\(713\) | 1.43078 | + | 5.33973i | 0.0535830 | + | 0.199974i | ||||
\(714\) | −2.00697 | − | 11.4473i | −0.0751089 | − | 0.428405i | ||||
\(715\) | 24.4749 | + | 5.09470i | 0.915309 | + | 0.190531i | ||||
\(716\) | −1.76722 | + | 1.02031i | −0.0660441 | + | 0.0381306i | ||||
\(717\) | −0.0812326 | − | 4.35444i | −0.00303369 | − | 0.162620i | ||||
\(718\) | 3.26340 | + | 5.65238i | 0.121789 | + | 0.210945i | ||||
\(719\) | −9.58652 | + | 16.6043i | −0.357517 | + | 0.619238i | −0.987545 | − | 0.157334i | \(-0.949710\pi\) |
0.630028 | + | 0.776572i | \(0.283043\pi\) | |||||||
\(720\) | −5.71673 | − | 1.30537i | −0.213050 | − | 0.0486484i | ||||
\(721\) | 25.0625 | − | 20.2051i | 0.933376 | − | 0.752478i | ||||
\(722\) | −17.8303 | − | 4.77761i | −0.663574 | − | 0.177804i | ||||
\(723\) | −0.0247392 | − | 1.32613i | −0.000920059 | − | 0.0493194i | ||||
\(724\) | −3.77689 | −0.140367 | ||||||||
\(725\) | −5.31958 | − | 9.21378i | −0.197564 | − | 0.342191i | ||||
\(726\) | 1.32661 | − | 2.40005i | 0.0492350 | − | 0.0890741i | ||||
\(727\) | 50.2236i | 1.86269i | 0.364138 | + | 0.931345i | \(0.381364\pi\) | ||||
−0.364138 | + | 0.931345i | \(0.618636\pi\) | |||||||
\(728\) | −9.07848 | − | 2.92936i | −0.336471 | − | 0.108569i | ||||
\(729\) | −3.01547 | − | 26.8311i | −0.111684 | − | 0.993744i | ||||
\(730\) | −14.8265 | + | 14.8265i | −0.548754 | + | 0.548754i | ||||
\(731\) | 11.2247 | − | 6.48057i | 0.415160 | − | 0.239693i | ||||
\(732\) | −5.37809 | − | 18.6710i | −0.198780 | − | 0.690102i | ||||
\(733\) | 28.7300 | + | 7.69817i | 1.06117 | + | 0.284338i | 0.746858 | − | 0.664983i | \(-0.231561\pi\) |
0.314307 | + | 0.949321i | \(0.398228\pi\) | |||||||
\(734\) | 4.59499 | − | 17.1488i | 0.169604 | − | 0.632972i | ||||
\(735\) | −15.6039 | + | 17.8365i | −0.575559 | + | 0.657909i | ||||
\(736\) | 4.69822 | + | 4.69822i | 0.173179 | + | 0.173179i | ||||
\(737\) | −36.5944 | − | 21.1278i | −1.34797 | − | 0.778251i | ||||
\(738\) | −8.99690 | + | 17.0191i | −0.331181 | + | 0.626482i | ||||
\(739\) | 5.59057 | − | 20.8643i | 0.205653 | − | 0.767506i | −0.783597 | − | 0.621269i | \(-0.786617\pi\) |
0.989250 | − | 0.146236i | \(-0.0467160\pi\) | |||||||
\(740\) | −5.39651 | − | 9.34702i | −0.198380 | − | 0.343603i | ||||
\(741\) | −37.5585 | − | 7.09000i | −1.37975 | − | 0.260458i | ||||
\(742\) | −6.02534 | − | 13.6127i | −0.221197 | − | 0.499738i | ||||
\(743\) | 35.6490 | − | 9.55213i | 1.30784 | − | 0.350434i | 0.463428 | − | 0.886134i | \(-0.346619\pi\) |
0.844408 | + | 0.535701i | \(0.179952\pi\) | |||||||
\(744\) | −0.398876 | − | 1.38478i | −0.0146235 | − | 0.0507683i | ||||
\(745\) | 41.3230i | 1.51396i | ||||||||
\(746\) | −15.2918 | + | 4.09742i | −0.559872 | + | 0.150017i | ||||
\(747\) | −2.48111 | + | 2.67349i | −0.0907790 | + | 0.0978180i | ||||
\(748\) | −2.32842 | + | 8.68978i | −0.0851354 | + | 0.317730i | ||||
\(749\) | 2.89327 | + | 18.5281i | 0.105718 | + | 0.677000i | ||||
\(750\) | −15.0664 | − | 14.5146i | −0.550148 | − | 0.529997i | ||||
\(751\) | 14.7783i | 0.539267i | 0.962963 | + | 0.269633i | \(0.0869025\pi\) | ||||
−0.962963 | + | 0.269633i | \(0.913097\pi\) | |||||||
\(752\) | 11.1371 | + | 2.98417i | 0.406127 | + | 0.108821i | ||||
\(753\) | −3.50570 | + | 14.1328i | −0.127755 | + | 0.515027i | ||||
\(754\) | −27.2020 | + | 17.8285i | −0.990639 | + | 0.649275i | ||||
\(755\) | − | 4.66318i | − | 0.169710i | ||||||
\(756\) | −11.5405 | − | 7.47112i | −0.419723 | − | 0.271722i | ||||
\(757\) | 10.7098 | − | 18.5499i | 0.389255 | − | 0.674209i | −0.603095 | − | 0.797669i | \(-0.706066\pi\) |
0.992349 | + | 0.123461i | \(0.0393993\pi\) | |||||||
\(758\) | 3.48690 | − | 6.03948i | 0.126650 | − | 0.219364i | ||||
\(759\) | −21.0674 | − | 34.9670i | −0.764699 | − | 1.26922i | ||||
\(760\) | −8.45917 | + | 8.45917i | −0.306847 | + | 0.306847i | ||||
\(761\) | −7.86963 | − | 29.3698i | −0.285274 | − | 1.06466i | −0.948639 | − | 0.316360i | \(-0.897539\pi\) |
0.663365 | − | 0.748296i | \(-0.269128\pi\) | |||||||
\(762\) | −10.7412 | + | 19.4326i | −0.389113 | + | 0.703968i | ||||
\(763\) | −8.84716 | − | 19.9879i | −0.320289 | − | 0.723611i | ||||
\(764\) | 4.95076 | − | 8.57497i | 0.179112 | − | 0.310231i | ||||
\(765\) | −14.4983 | − | 3.31057i | −0.524186 | − | 0.119694i | ||||
\(766\) | 29.0654 | + | 16.7809i | 1.05018 | + | 0.606319i | ||||
\(767\) | −32.6076 | − | 16.4419i | −1.17739 | − | 0.593681i | ||||
\(768\) | −1.24738 | − | 1.20169i | −0.0450108 | − | 0.0433622i | ||||
\(769\) | −4.68811 | − | 17.4963i | −0.169058 | − | 0.630931i | −0.997488 | − | 0.0708390i | \(-0.977432\pi\) |
0.828430 | − | 0.560092i | \(-0.189234\pi\) | |||||||
\(770\) | 16.7748 | − | 7.42498i | 0.604523 | − | 0.267578i | ||||
\(771\) | −7.79498 | − | 7.50947i | −0.280729 | − | 0.270447i | ||||
\(772\) | 3.76999 | + | 1.01017i | 0.135685 | + | 0.0363567i | ||||
\(773\) | −19.1477 | − | 19.1477i | −0.688694 | − | 0.688694i | 0.273249 | − | 0.961943i | \(-0.411902\pi\) |
−0.961943 | + | 0.273249i | \(0.911902\pi\) | |||||||
\(774\) | 3.41308 | − | 14.9472i | 0.122681 | − | 0.537266i | ||||
\(775\) | 0.253980 | − | 0.947866i | 0.00912323 | − | 0.0340483i | ||||
\(776\) | −6.23461 | + | 3.59956i | −0.223810 | + | 0.129217i | ||||
\(777\) | −4.36970 | − | 24.9238i | −0.156762 | − | 0.894137i | ||||
\(778\) | −29.2847 | + | 7.84682i | −1.04991 | + | 0.281322i | ||||
\(779\) | 19.6371 | + | 34.0125i | 0.703572 | + | 1.21862i | ||||
\(780\) | −7.95832 | + | 9.25565i | −0.284953 | + | 0.331405i | ||||
\(781\) | −10.4500 | + | 18.0999i | −0.373930 | + | 0.647665i | ||||
\(782\) | 11.9152 | + | 11.9152i | 0.426087 | + | 0.426087i | ||||
\(783\) | −44.5254 | + | 14.6446i | −1.59121 | + | 0.523354i | ||||
\(784\) | −6.66674 | + | 2.13415i | −0.238098 | + | 0.0762195i | ||||
\(785\) | −15.1266 | − | 15.1266i | −0.539890 | − | 0.539890i | ||||
\(786\) | 4.94340 | + | 8.20488i | 0.176325 | + | 0.292659i | ||||
\(787\) | 21.7489 | + | 21.7489i | 0.775264 | + | 0.775264i | 0.979021 | − | 0.203758i | \(-0.0653155\pi\) |
−0.203758 | + | 0.979021i | \(0.565315\pi\) | |||||||
\(788\) | −1.24514 | − | 4.64694i | −0.0443564 | − | 0.165540i | ||||
\(789\) | 49.9290 | + | 12.3851i | 1.77752 | + | 0.440921i | ||||
\(790\) | 19.9881 | + | 11.5402i | 0.711146 | + | 0.410581i | ||||
\(791\) | 22.4959 | − | 18.1359i | 0.799861 | − | 0.644840i | ||||
\(792\) | 5.66097 | + | 9.01126i | 0.201154 | + | 0.320201i | ||||
\(793\) | −39.5983 | − | 8.24280i | −1.40618 | − | 0.292710i | ||||
\(794\) | −15.4711 | − | 8.93222i | −0.549047 | − | 0.316992i | ||||
\(795\) | −19.0456 | + | 0.355298i | −0.675478 | + | 0.0126011i | ||||
\(796\) | 8.78409 | 0.311344 | ||||||||
\(797\) | −10.7972 | − | 18.7014i | −0.382458 | − | 0.662436i | 0.608955 | − | 0.793205i | \(-0.291589\pi\) |
−0.991413 | + | 0.130768i | \(0.958256\pi\) | |||||||
\(798\) | −25.4309 | + | 11.8285i | −0.900245 | + | 0.418723i | ||||
\(799\) | 28.2449 | + | 7.56819i | 0.999231 | + | 0.267743i | ||||
\(800\) | −0.305262 | − | 1.13925i | −0.0107926 | − | 0.0402787i | ||||
\(801\) | 6.19867 | + | 5.75261i | 0.219019 | + | 0.203258i | ||||
\(802\) | 0.986906 | 0.0348489 | ||||||||
\(803\) | 38.0528 | 1.34286 | ||||||||
\(804\) | 17.6726 | − | 10.6476i | 0.623263 | − | 0.375513i | ||||
\(805\) | 3.66596 | − | 34.1645i | 0.129208 | − | 1.20414i | ||||
\(806\) | −2.93689 | − | 0.611344i | −0.103447 | − | 0.0215337i | ||||
\(807\) | 29.7815 | − | 30.9137i | 1.04836 | − | 1.08822i | ||||
\(808\) | −5.25034 | − | 1.40682i | −0.184706 | − | 0.0494919i | ||||
\(809\) | −38.2652 | + | 22.0924i | −1.34533 | + | 0.776729i | −0.987585 | − | 0.157089i | \(-0.949789\pi\) |
−0.357750 | + | 0.933818i | \(0.616456\pi\) | |||||||
\(810\) | −14.5367 | + | 9.90698i | −0.510769 | + | 0.348096i | ||||
\(811\) | 13.8741 | − | 13.8741i | 0.487184 | − | 0.487184i | −0.420233 | − | 0.907416i | \(-0.638051\pi\) |
0.907416 | + | 0.420233i | \(0.138051\pi\) | |||||||
\(812\) | −8.60125 | + | 22.2622i | −0.301845 | + | 0.781250i | ||||
\(813\) | 0.862579 | + | 46.2382i | 0.0302520 | + | 1.62164i | ||||
\(814\) | −5.06958 | + | 18.9199i | −0.177689 | + | 0.663143i | ||||
\(815\) | − | 39.9233i | − | 1.39845i | ||||||
\(816\) | −3.16348 | − | 3.04761i | −0.110744 | − | 0.106688i | ||||
\(817\) | −22.1177 | − | 22.1177i | −0.773800 | − | 0.773800i | ||||
\(818\) | −6.43323 | −0.224932 | ||||||||
\(819\) | −24.9682 | + | 13.9852i | −0.872461 | + | 0.488684i | ||||
\(820\) | 12.5427 | 0.438010 | ||||||||
\(821\) | −5.67358 | − | 5.67358i | −0.198009 | − | 0.198009i | 0.601137 | − | 0.799146i | \(-0.294715\pi\) |
−0.799146 | + | 0.601137i | \(0.794715\pi\) | |||||||
\(822\) | −15.6999 | − | 15.1249i | −0.547597 | − | 0.527540i | ||||
\(823\) | − | 32.3014i | − | 1.12596i | −0.826472 | − | 0.562978i | \(-0.809655\pi\) | ||
0.826472 | − | 0.562978i | \(-0.190345\pi\) | |||||||
\(824\) | 3.14924 | − | 11.7531i | 0.109709 | − | 0.409440i | ||||
\(825\) | 0.135162 | + | 7.24532i | 0.00470575 | + | 0.252250i | ||||
\(826\) | −26.4763 | + | 4.13444i | −0.921227 | + | 0.143855i | ||||
\(827\) | 10.5632 | − | 10.5632i | 0.367318 | − | 0.367318i | −0.499180 | − | 0.866498i | \(-0.666365\pi\) |
0.866498 | + | 0.499180i | \(0.166365\pi\) | |||||||
\(828\) | 19.9190 | − | 0.743442i | 0.692233 | − | 0.0258364i | ||||
\(829\) | −6.25655 | + | 3.61222i | −0.217299 | + | 0.125458i | −0.604699 | − | 0.796454i | \(-0.706707\pi\) |
0.387400 | + | 0.921912i | \(0.373373\pi\) | |||||||
\(830\) | 2.29545 | + | 0.615065i | 0.0796763 | + | 0.0213492i | ||||
\(831\) | −15.3746 | + | 15.9592i | −0.533340 | + | 0.553617i | ||||
\(832\) | −3.42436 | + | 1.12860i | −0.118718 | + | 0.0391273i | ||||
\(833\) | −16.9076 | + | 5.41243i | −0.585813 | + | 0.187530i | ||||
\(834\) | −15.1675 | + | 9.13833i | −0.525207 | + | 0.316435i | ||||
\(835\) | 5.28674 | 0.182955 | ||||||||
\(836\) | 21.7108 | 0.750884 | ||||||||
\(837\) | −3.85907 | − | 1.94883i | −0.133389 | − | 0.0673614i | ||||
\(838\) | 1.23916 | + | 4.62460i | 0.0428060 | + | 0.159754i | ||||
\(839\) | −43.2150 | − | 11.5794i | −1.49195 | − | 0.399766i | −0.581554 | − | 0.813508i | \(-0.697555\pi\) |
−0.910395 | + | 0.413741i | \(0.864222\pi\) | |||||||
\(840\) | −0.789370 | + | 8.92237i | −0.0272359 | + | 0.307851i | ||||
\(841\) | 26.1848 | + | 45.3534i | 0.902924 | + | 1.56391i | ||||
\(842\) | −0.668542 | −0.0230395 | ||||||||
\(843\) | −15.3213 | + | 0.285820i | −0.527693 | + | 0.00984418i | ||||
\(844\) | −14.9482 | − | 8.63034i | −0.514538 | − | 0.297068i | ||||
\(845\) | 9.30559 | + | 23.6449i | 0.320122 | + | 0.813409i | ||||
\(846\) | 29.2898 | − | 18.4001i | 1.00700 | − | 0.632610i | ||||
\(847\) | −3.90741 | − | 1.50967i | −0.134260 | − | 0.0518729i | ||||
\(848\) | −4.87278 | − | 2.81330i | −0.167332 | − | 0.0966092i | ||||
\(849\) | 23.0209 | + | 5.71042i | 0.790074 | + | 0.195981i | ||||
\(850\) | −0.774178 | − | 2.88927i | −0.0265541 | − | 0.0991012i | ||||
\(851\) | 25.9426 | + | 25.9426i | 0.889300 | + | 0.889300i | ||||
\(852\) | −5.26641 | − | 8.74101i | −0.180424 | − | 0.299462i | ||||
\(853\) | −28.3574 | − | 28.3574i | −0.970940 | − | 0.970940i | 0.0286493 | − | 0.999590i | \(-0.490879\pi\) |
−0.999590 | + | 0.0286493i | \(0.990879\pi\) | |||||||
\(854\) | −27.1403 | + | 12.0130i | −0.928722 | + | 0.411076i | ||||
\(855\) | 1.33857 | + | 35.8643i | 0.0457781 | + | 1.22653i | ||||
\(856\) | 5.01184 | + | 5.01184i | 0.171301 | + | 0.171301i | ||||
\(857\) | 2.28469 | − | 3.95720i | 0.0780435 | − | 0.135175i | −0.824362 | − | 0.566063i | \(-0.808466\pi\) |
0.902406 | + | 0.430887i | \(0.141799\pi\) | |||||||
\(858\) | 22.0902 | − | 1.66483i | 0.754146 | − | 0.0568362i | ||||
\(859\) | 22.8984 | + | 39.6613i | 0.781285 | + | 1.35322i | 0.931194 | + | 0.364525i | \(0.118769\pi\) |
−0.149909 | + | 0.988700i | \(0.547898\pi\) | |||||||
\(860\) | −9.64900 | + | 2.58544i | −0.329028 | + | 0.0881628i | ||||
\(861\) | 27.6229 | + | 10.0844i | 0.941386 | + | 0.343676i | ||||
\(862\) | −3.42487 | + | 1.97735i | −0.116651 | + | 0.0673488i | ||||
\(863\) | 6.68238 | − | 24.9390i | 0.227471 | − | 0.848933i | −0.753929 | − | 0.656956i | \(-0.771844\pi\) |
0.981400 | − | 0.191976i | \(-0.0614897\pi\) | |||||||
\(864\) | −5.18802 | + | 0.290619i | −0.176500 | + | 0.00988706i | ||||
\(865\) | −11.8606 | − | 11.8606i | −0.403272 | − | 0.403272i | ||||
\(866\) | 21.5305 | + | 5.76908i | 0.731636 | + | 0.196041i | ||||
\(867\) | 13.1824 | + | 12.6996i | 0.447699 | + | 0.431301i | ||||
\(868\) | −2.01291 | + | 0.890968i | −0.0683227 | + | 0.0302414i | ||||
\(869\) | −10.8410 | − | 40.4593i | −0.367757 | − | 1.37249i | ||||
\(870\) | 21.9934 | + | 21.1878i | 0.745645 | + | 0.718334i | ||||
\(871\) | −2.42835 | − | 42.8808i | −0.0822816 | − | 1.45296i | ||||
\(872\) | −7.15483 | − | 4.13084i | −0.242293 | − | 0.139888i | ||||
\(873\) | −4.80784 | + | 21.0554i | −0.162721 | + | 0.712617i | ||||
\(874\) | 20.3329 | − | 35.2175i | 0.687769 | − | 1.19125i | ||||
\(875\) | −18.8398 | + | 25.8126i | −0.636903 | + | 0.872625i | ||||
\(876\) | −8.98838 | + | 16.2614i | −0.303689 | + | 0.549423i | ||||
\(877\) | −2.36625 | − | 8.83096i | −0.0799025 | − | 0.298200i | 0.914398 | − | 0.404817i | \(-0.132665\pi\) |
−0.994300 | + | 0.106617i | \(0.965998\pi\) | |||||||
\(878\) | 10.8652 | − | 10.8652i | 0.366682 | − | 0.366682i | ||||
\(879\) | 4.10651 | + | 6.81584i | 0.138509 | + | 0.229893i | ||||
\(880\) | 3.46681 | − | 6.00469i | 0.116866 | − | 0.202418i | ||||
\(881\) | 9.57090 | − | 16.5773i | 0.322452 | − | 0.558503i | −0.658542 | − | 0.752544i | \(-0.728826\pi\) |
0.980993 | + | 0.194042i | \(0.0621597\pi\) | |||||||
\(882\) | −8.91207 | + | 19.0151i | −0.300085 | + | 0.640273i | ||||
\(883\) | − | 40.2359i | − | 1.35405i | −0.735962 | − | 0.677023i | \(-0.763270\pi\) | ||
0.735962 | − | 0.677023i | \(-0.236730\pi\) | |||||||
\(884\) | −8.68456 | + | 2.86226i | −0.292093 | + | 0.0962683i | ||||
\(885\) | −8.25551 | + | 33.2811i | −0.277506 | + | 1.11873i | ||||
\(886\) | −23.9493 | − | 6.41721i | −0.804594 | − | 0.215590i | ||||
\(887\) | − | 17.1535i | − | 0.575957i | −0.957637 | − | 0.287979i | \(-0.907017\pi\) | ||
0.957637 | − | 0.287979i | \(-0.0929832\pi\) | |||||||
\(888\) | −6.88774 | − | 6.63546i | −0.231137 | − | 0.222671i | ||||
\(889\) | 31.6373 | + | 12.2234i | 1.06108 | + | 0.409960i | ||||
\(890\) | 1.42607 | − | 5.32216i | 0.0478019 | − | 0.178399i | ||||
\(891\) | 31.3679 | + | 5.94124i | 1.05086 | + | 0.199039i | ||||
\(892\) | 14.9378 | − | 4.00258i | 0.500155 | − | 0.134016i | ||||
\(893\) | − | 70.5678i | − | 2.36146i | ||||||
\(894\) | 10.1354 | + | 35.1869i | 0.338978 | + | 1.17683i | ||||
\(895\) | 3.85272 | − | 1.03233i | 0.128782 | − | 0.0345071i | ||||
\(896\) | −1.55978 | + | 2.13707i | −0.0521087 | + | 0.0713945i | ||||
\(897\) | 17.9876 | − | 37.3920i | 0.600588 | − | 1.24848i | ||||
\(898\) | 13.0007 | + | 22.5179i | 0.433840 | + | 0.751433i | ||||
\(899\) | −1.94247 | + | 7.24939i | −0.0647850 | + | 0.241781i | ||||
\(900\) | −3.12813 | − | 1.65364i | −0.104271 | − | 0.0551214i | ||||
\(901\) | −12.3579 | − | 7.13485i | −0.411702 | − | 0.237696i | ||||
\(902\) | −16.0957 | − | 16.0957i | −0.535928 | − | 0.535928i | ||||
\(903\) | −23.3288 | − | 2.06392i | −0.776333 | − | 0.0686829i | ||||
\(904\) | 2.82673 | − | 10.5495i | 0.0940156 | − | 0.350871i | ||||
\(905\) | 7.13086 | + | 1.91071i | 0.237038 | + | 0.0635141i | ||||
\(906\) | −1.14375 | − | 3.97073i | −0.0379984 | − | 0.131919i | ||||
\(907\) | 6.63919 | − | 3.83314i | 0.220451 | − | 0.127277i | −0.385708 | − | 0.922621i | \(-0.626043\pi\) |
0.606159 | + | 0.795344i | \(0.292710\pi\) | |||||||
\(908\) | 13.7448 | − | 13.7448i | 0.456139 | − | 0.456139i | ||||
\(909\) | −13.8080 | + | 8.67436i | −0.457984 | + | 0.287710i | ||||
\(910\) | 15.6584 | + | 10.1235i | 0.519072 | + | 0.335589i | ||||
\(911\) | − | 57.7098i | − | 1.91201i | −0.293347 | − | 0.956006i | \(-0.594769\pi\) | ||
0.293347 | − | 0.956006i | \(-0.405231\pi\) | |||||||
\(912\) | −5.12826 | + | 9.27786i | −0.169814 | + | 0.307221i | ||||
\(913\) | −2.15639 | − | 3.73498i | −0.0713662 | − | 0.123610i | ||||
\(914\) | −17.7750 | −0.587946 | ||||||||
\(915\) | 0.708374 | + | 37.9721i | 0.0234181 | + | 1.25532i | ||||
\(916\) | −5.16146 | − | 1.38301i | −0.170539 | − | 0.0456959i | ||||
\(917\) | 11.3913 | − | 9.18358i | 0.376175 | − | 0.303268i | ||||
\(918\) | −13.1574 | + | 0.737042i | −0.434259 | + | 0.0243260i | ||||
\(919\) | 4.20166 | − | 7.27749i | 0.138600 | − | 0.240062i | −0.788367 | − | 0.615205i | \(-0.789073\pi\) |
0.926967 | + | 0.375143i | \(0.122406\pi\) | |||||||
\(920\) | −6.49355 | − | 11.2472i | −0.214086 | − | 0.370808i | ||||
\(921\) | 0.247913 | + | 13.2893i | 0.00816902 | + | 0.437897i | ||||
\(922\) | 26.5904 | − | 15.3520i | 0.875708 | − | 0.505590i | ||||
\(923\) | −21.2093 | + | 1.20109i | −0.698111 | + | 0.0395342i | ||||
\(924\) | 12.4628 | − | 10.4368i | 0.409995 | − | 0.343347i | ||||
\(925\) | −1.68559 | − | 6.29070i | −0.0554218 | − | 0.206837i | ||||
\(926\) | 6.65897i | 0.218827i | ||||||||
\(927\) | −19.4180 | − | 30.9100i | −0.637770 | − | 1.01522i | ||||
\(928\) | 2.33468 | + | 8.71314i | 0.0766396 | + | 0.286023i | ||||
\(929\) | −35.3366 | + | 9.46841i | −1.15936 | + | 0.310649i | −0.786709 | − | 0.617324i | \(-0.788217\pi\) |
−0.372648 | + | 0.927973i | \(0.621550\pi\) | |||||||
\(930\) | 0.0525380 | + | 2.81628i | 0.00172279 | + | 0.0923493i | ||||
\(931\) | 23.1774 | + | 36.0321i | 0.759608 | + | 1.18090i | ||||
\(932\) | 4.62938 | − | 2.67277i | 0.151640 | − | 0.0875496i | ||||
\(933\) | 24.5826 | − | 7.08088i | 0.804799 | − | 0.231818i | ||||
\(934\) | 6.61530 | − | 24.6886i | 0.216459 | − | 0.807836i | ||||
\(935\) | 8.79222 | − | 15.2286i | 0.287536 | − | 0.498027i | ||||
\(936\) | −4.50642 | + | 9.83322i | −0.147297 | + | 0.321409i | ||||
\(937\) | −28.6653 | −0.936453 | −0.468227 | − | 0.883608i | \(-0.655107\pi\) | ||||
−0.468227 | + | 0.883608i | \(0.655107\pi\) | |||||||
\(938\) | −19.7806 | − | 24.5359i | −0.645859 | − | 0.801125i | ||||
\(939\) | −7.60208 | + | 30.6468i | −0.248084 | + | 1.00012i | ||||
\(940\) | −19.5174 | − | 11.2684i | −0.636586 | − | 0.367533i | ||||
\(941\) | 35.6733 | − | 9.55863i | 1.16292 | − | 0.311602i | 0.374786 | − | 0.927111i | \(-0.377716\pi\) |
0.788130 | + | 0.615509i | \(0.211050\pi\) | |||||||
\(942\) | −16.5905 | − | 9.17028i | −0.540548 | − | 0.298784i | ||||
\(943\) | −41.1832 | + | 11.0350i | −1.34111 | + | 0.359350i | ||||
\(944\) | −7.16184 | + | 7.16184i | −0.233098 | + | 0.233098i | ||||
\(945\) | 18.0091 | + | 19.9439i | 0.585835 | + | 0.648775i | ||||
\(946\) | 15.7001 | + | 9.06445i | 0.510454 | + | 0.294711i | ||||
\(947\) | 2.28585 | − | 2.28585i | 0.0742802 | − | 0.0742802i | −0.668991 | − | 0.743271i | \(-0.733273\pi\) |
0.743271 | + | 0.668991i | \(0.233273\pi\) | |||||||
\(948\) | 19.8506 | + | 4.92401i | 0.644716 | + | 0.159925i | ||||
\(949\) | 21.2018 | + | 32.3490i | 0.688241 | + | 1.05009i | ||||
\(950\) | −6.25153 | + | 3.60932i | −0.202826 | + | 0.117102i | ||||
\(951\) | 37.4349 | − | 22.5543i | 1.21391 | − | 0.731374i | ||||
\(952\) | −3.95579 | + | 5.41985i | −0.128208 | + | 0.175658i | ||||
\(953\) | 22.8899 | + | 39.6465i | 0.741477 | + | 1.28428i | 0.951823 | + | 0.306649i | \(0.0992077\pi\) |
−0.210346 | + | 0.977627i | \(0.567459\pi\) | |||||||
\(954\) | −16.1304 | + | 4.97390i | −0.522240 | + | 0.161036i | ||||
\(955\) | −13.6852 | + | 13.6852i | −0.442842 | + | 0.442842i | ||||
\(956\) | −1.77800 | + | 1.77800i | −0.0575047 | + | 0.0575047i | ||||
\(957\) | −1.03374 | − | 55.4131i | −0.0334160 | − | 1.79125i | ||||
\(958\) | 4.21295 | + | 7.29704i | 0.136114 | + | 0.235757i | ||||
\(959\) | −19.6320 | + | 26.8979i | −0.633950 | + | 0.868579i | ||||
\(960\) | 1.74715 | + | 2.89985i | 0.0563889 | + | 0.0935924i | ||||
\(961\) | 26.2473 | − | 15.1539i | 0.846687 | − | 0.488835i | ||||
\(962\) | −18.9086 | + | 6.23190i | −0.609637 | + | 0.200925i | ||||
\(963\) | 21.2487 | − | 0.793068i | 0.684728 | − | 0.0255563i | ||||
\(964\) | −0.541486 | + | 0.541486i | −0.0174401 | + | 0.0174401i | ||||
\(965\) | −6.60680 | − | 3.81444i | −0.212680 | − | 0.122791i | ||||
\(966\) | −5.25800 | − | 29.9905i | −0.169174 | − | 0.964930i | ||||
\(967\) | 11.8127 | − | 11.8127i | 0.379871 | − | 0.379871i | −0.491185 | − | 0.871055i | \(-0.663436\pi\) |
0.871055 | + | 0.491185i | \(0.163436\pi\) | |||||||
\(968\) | −1.52931 | + | 0.409777i | −0.0491539 | + | 0.0131707i | ||||
\(969\) | −13.0058 | + | 23.5297i | −0.417808 | + | 0.755882i | ||||
\(970\) | 13.5921 | − | 3.64199i | 0.436416 | − | 0.116937i | ||||
\(971\) | 5.39932 | + | 3.11730i | 0.173272 | + | 0.100039i | 0.584128 | − | 0.811662i | \(-0.301437\pi\) |
−0.410856 | + | 0.911700i | \(0.634770\pi\) | |||||||
\(972\) | −9.94826 | + | 12.0013i | −0.319091 | + | 0.384943i | ||||
\(973\) | 16.9767 | + | 21.0579i | 0.544248 | + | 0.675086i | ||||
\(974\) | 18.8480 | 0.603927 | ||||||||
\(975\) | −6.08399 | + | 4.15177i | −0.194844 | + | 0.132963i | ||||
\(976\) | −5.60901 | + | 9.71509i | −0.179540 | + | 0.310972i | ||||
\(977\) | 1.35365 | − | 5.05189i | 0.0433071 | − | 0.161624i | −0.940886 | − | 0.338724i | \(-0.890005\pi\) |
0.984193 | + | 0.177100i | \(0.0566715\pi\) | |||||||
\(978\) | −9.79207 | − | 33.9950i | −0.313116 | − | 1.08704i | ||||
\(979\) | −8.65979 | + | 4.99973i | −0.276768 | + | 0.159792i | ||||
\(980\) | 13.6666 | − | 0.656653i | 0.436564 | − | 0.0209760i | ||||
\(981\) | −23.6846 | + | 7.30330i | −0.756192 | + | 0.233176i | ||||
\(982\) | 15.2173 | − | 4.07745i | 0.485602 | − | 0.130117i | ||||
\(983\) | −1.47355 | − | 5.49935i | −0.0469988 | − | 0.175402i | 0.938437 | − | 0.345451i | \(-0.112274\pi\) |
−0.985436 | + | 0.170049i | \(0.945607\pi\) | |||||||
\(984\) | 10.6802 | − | 3.07638i | 0.340473 | − | 0.0980713i | ||||
\(985\) | 9.40344i | 0.299619i | ||||||||
\(986\) | 5.92101 | + | 22.0975i | 0.188563 | + | 0.703728i | ||||
\(987\) | −33.9234 | − | 40.5085i | −1.07979 | − | 1.28940i | ||||
\(988\) | 12.0966 | + | 18.4565i | 0.384843 | + | 0.587180i | ||||
\(989\) | 29.4073 | − | 16.9783i | 0.935096 | − | 0.539878i | ||||
\(990\) | −6.12929 | − | 19.8773i | −0.194802 | − | 0.631742i | ||||
\(991\) | 20.1364 | + | 34.8772i | 0.639653 | + | 1.10791i | 0.985509 | + | 0.169624i | \(0.0542554\pi\) |
−0.345855 | + | 0.938288i | \(0.612411\pi\) | |||||||
\(992\) | −0.416003 | + | 0.720539i | −0.0132081 | + | 0.0228771i | ||||
\(993\) | 16.3078 | − | 29.5034i | 0.517511 | − | 0.936262i | ||||
\(994\) | −12.1357 | + | 9.78365i | −0.384920 | + | 0.310319i | ||||
\(995\) | −16.5846 | − | 4.44382i | −0.525766 | − | 0.140879i | ||||
\(996\) | 2.10546 | − | 0.0392775i | 0.0667139 | − | 0.00124456i | ||||
\(997\) | 1.35153 | 0.0428034 | 0.0214017 | − | 0.999771i | \(-0.493187\pi\) | ||||
0.0214017 | + | 0.999771i | \(0.493187\pi\) | |||||||
\(998\) | 6.38115 | + | 11.0525i | 0.201992 | + | 0.349860i | ||||
\(999\) | −28.6471 | + | 1.60473i | −0.906354 | + | 0.0507716i |
(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 | 546.2.ch.a.305.25 | yes | 152 | |
3.2 | odd | 2 | inner | 546.2.ch.a.305.8 | yes | 152 | |
7.2 | even | 3 | 546.2.bw.a.149.37 | yes | 152 | ||
13.11 | odd | 12 | 546.2.bw.a.11.18 | ✓ | 152 | ||
21.2 | odd | 6 | 546.2.bw.a.149.18 | yes | 152 | ||
39.11 | even | 12 | 546.2.bw.a.11.37 | yes | 152 | ||
91.37 | odd | 12 | inner | 546.2.ch.a.401.8 | yes | 152 | |
273.128 | even | 12 | inner | 546.2.ch.a.401.25 | yes | 152 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bw.a.11.18 | ✓ | 152 | 13.11 | odd | 12 | ||
546.2.bw.a.11.37 | yes | 152 | 39.11 | even | 12 | ||
546.2.bw.a.149.18 | yes | 152 | 21.2 | odd | 6 | ||
546.2.bw.a.149.37 | yes | 152 | 7.2 | even | 3 | ||
546.2.ch.a.305.8 | yes | 152 | 3.2 | odd | 2 | inner | |
546.2.ch.a.305.25 | yes | 152 | 1.1 | even | 1 | trivial | |
546.2.ch.a.401.8 | yes | 152 | 91.37 | odd | 12 | inner | |
546.2.ch.a.401.25 | yes | 152 | 273.128 | even | 12 | inner |