Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 301.3 | ||
Character | \(\chi\) | \(=\) | 690.301 |
Dual form | 690.2.m.h.541.3 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.841254 | − | 0.540641i | −0.594856 | − | 0.382291i | ||||
\(3\) | −0.142315 | − | 0.989821i | −0.0821655 | − | 0.571474i | ||||
\(4\) | 0.415415 | + | 0.909632i | 0.207708 | + | 0.454816i | ||||
\(5\) | 0.959493 | + | 0.281733i | 0.429098 | + | 0.125995i | ||||
\(6\) | −0.415415 | + | 0.909632i | −0.169592 | + | 0.371356i | ||||
\(7\) | 2.94698 | − | 3.40099i | 1.11385 | − | 1.28545i | 0.159360 | − | 0.987221i | \(-0.449057\pi\) |
0.954493 | − | 0.298234i | \(-0.0963975\pi\) | |||||||
\(8\) | 0.142315 | − | 0.989821i | 0.0503159 | − | 0.349955i | ||||
\(9\) | −0.959493 | + | 0.281733i | −0.319831 | + | 0.0939109i | ||||
\(10\) | −0.654861 | − | 0.755750i | −0.207085 | − | 0.238989i | ||||
\(11\) | 3.15964 | − | 2.03058i | 0.952666 | − | 0.612241i | 0.0307071 | − | 0.999528i | \(-0.490224\pi\) |
0.921959 | + | 0.387287i | \(0.126588\pi\) | |||||||
\(12\) | 0.841254 | − | 0.540641i | 0.242849 | − | 0.156070i | ||||
\(13\) | 4.55681 | + | 5.25884i | 1.26383 | + | 1.45854i | 0.830216 | + | 0.557441i | \(0.188217\pi\) |
0.433615 | + | 0.901098i | \(0.357238\pi\) | |||||||
\(14\) | −4.31787 | + | 1.26784i | −1.15400 | + | 0.338845i | ||||
\(15\) | 0.142315 | − | 0.989821i | 0.0367455 | − | 0.255571i | ||||
\(16\) | −0.654861 | + | 0.755750i | −0.163715 | + | 0.188937i | ||||
\(17\) | −2.91086 | + | 6.37389i | −0.705987 | + | 1.54589i | 0.126572 | + | 0.991957i | \(0.459603\pi\) |
−0.832558 | + | 0.553937i | \(0.813125\pi\) | |||||||
\(18\) | 0.959493 | + | 0.281733i | 0.226155 | + | 0.0664050i | ||||
\(19\) | −0.990383 | − | 2.16864i | −0.227209 | − | 0.497519i | 0.761352 | − | 0.648339i | \(-0.224536\pi\) |
−0.988561 | + | 0.150820i | \(0.951809\pi\) | |||||||
\(20\) | 0.142315 | + | 0.989821i | 0.0318226 | + | 0.221331i | ||||
\(21\) | −3.78577 | − | 2.43297i | −0.826124 | − | 0.530917i | ||||
\(22\) | −3.75587 | −0.800754 | ||||||||
\(23\) | 1.30885 | − | 4.61377i | 0.272914 | − | 0.962038i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 0.841254 | + | 0.540641i | 0.168251 | + | 0.108128i | ||||
\(26\) | −0.990289 | − | 6.88761i | −0.194212 | − | 1.35077i | ||||
\(27\) | 0.415415 | + | 0.909632i | 0.0799467 | + | 0.175059i | ||||
\(28\) | 4.31787 | + | 1.26784i | 0.816001 | + | 0.239599i | ||||
\(29\) | −2.07904 | + | 4.55246i | −0.386068 | + | 0.845371i | 0.612427 | + | 0.790527i | \(0.290193\pi\) |
−0.998495 | + | 0.0548438i | \(0.982534\pi\) | |||||||
\(30\) | −0.654861 | + | 0.755750i | −0.119561 | + | 0.137980i | ||||
\(31\) | 0.564660 | − | 3.92729i | 0.101416 | − | 0.705363i | −0.874150 | − | 0.485656i | \(-0.838581\pi\) |
0.975566 | − | 0.219707i | \(-0.0705101\pi\) | |||||||
\(32\) | 0.959493 | − | 0.281733i | 0.169616 | − | 0.0498038i | ||||
\(33\) | −2.45957 | − | 2.83850i | −0.428156 | − | 0.494119i | ||||
\(34\) | 5.89475 | − | 3.78833i | 1.01094 | − | 0.649693i | ||||
\(35\) | 3.78577 | − | 2.43297i | 0.639913 | − | 0.411247i | ||||
\(36\) | −0.654861 | − | 0.755750i | −0.109143 | − | 0.125958i | ||||
\(37\) | 7.21215 | − | 2.11768i | 1.18567 | − | 0.348144i | 0.371313 | − | 0.928508i | \(-0.378908\pi\) |
0.814357 | + | 0.580364i | \(0.197090\pi\) | |||||||
\(38\) | −0.339290 | + | 2.35981i | −0.0550401 | + | 0.382812i | ||||
\(39\) | 4.55681 | − | 5.25884i | 0.729673 | − | 0.842088i | ||||
\(40\) | 0.415415 | − | 0.909632i | 0.0656829 | − | 0.143825i | ||||
\(41\) | −2.11326 | − | 0.620508i | −0.330035 | − | 0.0969070i | 0.112517 | − | 0.993650i | \(-0.464109\pi\) |
−0.442552 | + | 0.896743i | \(0.645927\pi\) | |||||||
\(42\) | 1.86943 | + | 4.09349i | 0.288460 | + | 0.631639i | ||||
\(43\) | 1.26125 | + | 8.77220i | 0.192339 | + | 1.33775i | 0.825796 | + | 0.563969i | \(0.190726\pi\) |
−0.633457 | + | 0.773778i | \(0.718365\pi\) | |||||||
\(44\) | 3.15964 | + | 2.03058i | 0.476333 | + | 0.306121i | ||||
\(45\) | −1.00000 | −0.149071 | ||||||||
\(46\) | −3.59547 | + | 3.17373i | −0.530123 | + | 0.467942i | ||||
\(47\) | −4.07475 | −0.594364 | −0.297182 | − | 0.954821i | \(-0.596047\pi\) | ||||
−0.297182 | + | 0.954821i | \(0.596047\pi\) | |||||||
\(48\) | 0.841254 | + | 0.540641i | 0.121424 | + | 0.0780348i | ||||
\(49\) | −1.88587 | − | 13.1165i | −0.269411 | − | 1.87379i | ||||
\(50\) | −0.415415 | − | 0.909632i | −0.0587486 | − | 0.128641i | ||||
\(51\) | 6.72327 | + | 1.97413i | 0.941446 | + | 0.276433i | ||||
\(52\) | −2.89064 | + | 6.32962i | −0.400860 | + | 0.877760i | ||||
\(53\) | 2.56761 | − | 2.96318i | 0.352688 | − | 0.407024i | −0.551489 | − | 0.834182i | \(-0.685940\pi\) |
0.904177 | + | 0.427159i | \(0.140485\pi\) | |||||||
\(54\) | 0.142315 | − | 0.989821i | 0.0193666 | − | 0.134698i | ||||
\(55\) | 3.60373 | − | 1.05815i | 0.485927 | − | 0.142681i | ||||
\(56\) | −2.94698 | − | 3.40099i | −0.393806 | − | 0.454477i | ||||
\(57\) | −2.00562 | + | 1.28893i | −0.265650 | + | 0.170723i | ||||
\(58\) | 4.21025 | − | 2.70576i | 0.552832 | − | 0.355284i | ||||
\(59\) | −7.13771 | − | 8.23736i | −0.929251 | − | 1.07241i | −0.997204 | − | 0.0747241i | \(-0.976192\pi\) |
0.0679535 | − | 0.997688i | \(-0.478353\pi\) | |||||||
\(60\) | 0.959493 | − | 0.281733i | 0.123870 | − | 0.0363715i | ||||
\(61\) | 1.89566 | − | 13.1846i | 0.242714 | − | 1.68811i | −0.395669 | − | 0.918393i | \(-0.629487\pi\) |
0.638383 | − | 0.769719i | \(-0.279604\pi\) | |||||||
\(62\) | −2.59828 | + | 2.99857i | −0.329982 | + | 0.380819i | ||||
\(63\) | −1.86943 | + | 4.09349i | −0.235526 | + | 0.515731i | ||||
\(64\) | −0.959493 | − | 0.281733i | −0.119937 | − | 0.0352166i | ||||
\(65\) | 2.89064 | + | 6.32962i | 0.358540 | + | 0.785093i | ||||
\(66\) | 0.534516 | + | 3.71764i | 0.0657943 | + | 0.457610i | ||||
\(67\) | 0.866222 | + | 0.556687i | 0.105826 | + | 0.0680101i | 0.592483 | − | 0.805583i | \(-0.298148\pi\) |
−0.486657 | + | 0.873593i | \(0.661784\pi\) | |||||||
\(68\) | −7.00711 | −0.849736 | ||||||||
\(69\) | −4.75308 | − | 0.638921i | −0.572204 | − | 0.0769171i | ||||
\(70\) | −4.50016 | −0.537872 | ||||||||
\(71\) | −4.19300 | − | 2.69468i | −0.497617 | − | 0.319799i | 0.267645 | − | 0.963518i | \(-0.413755\pi\) |
−0.765263 | + | 0.643718i | \(0.777391\pi\) | |||||||
\(72\) | 0.142315 | + | 0.989821i | 0.0167720 | + | 0.116652i | ||||
\(73\) | −2.59043 | − | 5.67225i | −0.303187 | − | 0.663886i | 0.695309 | − | 0.718711i | \(-0.255267\pi\) |
−0.998496 | + | 0.0548245i | \(0.982540\pi\) | |||||||
\(74\) | −7.21215 | − | 2.11768i | −0.838395 | − | 0.246175i | ||||
\(75\) | 0.415415 | − | 0.909632i | 0.0479680 | − | 0.105035i | ||||
\(76\) | 1.56124 | − | 1.80177i | 0.179087 | − | 0.206677i | ||||
\(77\) | 2.40540 | − | 16.7300i | 0.274121 | − | 1.90656i | ||||
\(78\) | −6.67657 | + | 1.96042i | −0.755973 | + | 0.221974i | ||||
\(79\) | −2.60645 | − | 3.00801i | −0.293249 | − | 0.338427i | 0.589938 | − | 0.807449i | \(-0.299152\pi\) |
−0.883187 | + | 0.469021i | \(0.844607\pi\) | |||||||
\(80\) | −0.841254 | + | 0.540641i | −0.0940550 | + | 0.0604455i | ||||
\(81\) | 0.841254 | − | 0.540641i | 0.0934726 | − | 0.0600712i | ||||
\(82\) | 1.44231 | + | 1.66452i | 0.159277 | + | 0.183815i | ||||
\(83\) | −14.6281 | + | 4.29519i | −1.60564 | + | 0.471458i | −0.957108 | − | 0.289730i | \(-0.906435\pi\) |
−0.648531 | + | 0.761188i | \(0.724616\pi\) | |||||||
\(84\) | 0.640439 | − | 4.45435i | 0.0698777 | − | 0.486010i | ||||
\(85\) | −4.58868 | + | 5.29562i | −0.497712 | + | 0.574390i | ||||
\(86\) | 3.68158 | − | 8.06153i | 0.396995 | − | 0.869297i | ||||
\(87\) | 4.80200 | + | 1.41000i | 0.514829 | + | 0.151167i | ||||
\(88\) | −1.56024 | − | 3.41646i | −0.166323 | − | 0.364196i | ||||
\(89\) | 1.83561 | + | 12.7670i | 0.194574 | + | 1.35329i | 0.819710 | + | 0.572779i | \(0.194135\pi\) |
−0.625136 | + | 0.780516i | \(0.714956\pi\) | |||||||
\(90\) | 0.841254 | + | 0.540641i | 0.0886759 | + | 0.0569885i | ||||
\(91\) | 31.3141 | 3.28261 | ||||||||
\(92\) | 4.74055 | − | 0.726057i | 0.494237 | − | 0.0756967i | ||||
\(93\) | −3.96768 | −0.411429 | ||||||||
\(94\) | 3.42790 | + | 2.20298i | 0.353561 | + | 0.227220i | ||||
\(95\) | −0.339290 | − | 2.35981i | −0.0348104 | − | 0.242112i | ||||
\(96\) | −0.415415 | − | 0.909632i | −0.0423981 | − | 0.0928389i | ||||
\(97\) | 6.25556 | + | 1.83680i | 0.635156 | + | 0.186499i | 0.583431 | − | 0.812163i | \(-0.301710\pi\) |
0.0517252 | + | 0.998661i | \(0.483528\pi\) | |||||||
\(98\) | −5.50484 | + | 12.0539i | −0.556073 | + | 1.21763i | ||||
\(99\) | −2.45957 | + | 2.83850i | −0.247196 | + | 0.285280i | ||||
\(100\) | −0.142315 | + | 0.989821i | −0.0142315 | + | 0.0989821i | ||||
\(101\) | 4.20064 | − | 1.23342i | 0.417979 | − | 0.122730i | −0.0659786 | − | 0.997821i | \(-0.521017\pi\) |
0.483958 | + | 0.875091i | \(0.339199\pi\) | |||||||
\(102\) | −4.58868 | − | 5.29562i | −0.454347 | − | 0.524344i | ||||
\(103\) | 0.0990437 | − | 0.0636515i | 0.00975907 | − | 0.00627177i | −0.535752 | − | 0.844375i | \(-0.679972\pi\) |
0.545511 | + | 0.838103i | \(0.316336\pi\) | |||||||
\(104\) | 5.85381 | − | 3.76202i | 0.574014 | − | 0.368896i | ||||
\(105\) | −2.94698 | − | 3.40099i | −0.287595 | − | 0.331903i | ||||
\(106\) | −3.76202 | + | 1.10463i | −0.365400 | + | 0.107291i | ||||
\(107\) | −1.48069 | + | 10.2984i | −0.143144 | + | 0.995587i | 0.783968 | + | 0.620802i | \(0.213193\pi\) |
−0.927112 | + | 0.374785i | \(0.877716\pi\) | |||||||
\(108\) | −0.654861 | + | 0.755750i | −0.0630140 | + | 0.0727220i | ||||
\(109\) | −8.35340 | + | 18.2914i | −0.800110 | + | 1.75200i | −0.154990 | + | 0.987916i | \(0.549534\pi\) |
−0.645121 | + | 0.764081i | \(0.723193\pi\) | |||||||
\(110\) | −3.60373 | − | 1.05815i | −0.343602 | − | 0.100891i | ||||
\(111\) | −3.12252 | − | 6.83736i | −0.296376 | − | 0.648974i | ||||
\(112\) | 0.640439 | + | 4.45435i | 0.0605158 | + | 0.420897i | ||||
\(113\) | −6.50827 | − | 4.18261i | −0.612246 | − | 0.393467i | 0.197452 | − | 0.980312i | \(-0.436733\pi\) |
−0.809699 | + | 0.586846i | \(0.800370\pi\) | |||||||
\(114\) | 2.38408 | 0.223290 | ||||||||
\(115\) | 2.55568 | − | 4.05814i | 0.238319 | − | 0.378423i | ||||
\(116\) | −5.00473 | −0.464677 | ||||||||
\(117\) | −5.85381 | − | 3.76202i | −0.541185 | − | 0.347799i | ||||
\(118\) | 1.55117 | + | 10.7886i | 0.142797 | + | 0.993175i | ||||
\(119\) | 13.0993 | + | 28.6835i | 1.20081 | + | 2.62941i | ||||
\(120\) | −0.959493 | − | 0.281733i | −0.0875893 | − | 0.0257185i | ||||
\(121\) | 1.29050 | − | 2.82581i | 0.117318 | − | 0.256892i | ||||
\(122\) | −8.72285 | + | 10.0667i | −0.789729 | + | 0.911396i | ||||
\(123\) | −0.313444 | + | 2.18005i | −0.0282623 | + | 0.196569i | ||||
\(124\) | 3.80696 | − | 1.11782i | 0.341875 | − | 0.100384i | ||||
\(125\) | 0.654861 | + | 0.755750i | 0.0585725 | + | 0.0675963i | ||||
\(126\) | 3.78577 | − | 2.43297i | 0.337264 | − | 0.216746i | ||||
\(127\) | −11.1862 | + | 7.18893i | −0.992615 | + | 0.637915i | −0.932838 | − | 0.360297i | \(-0.882675\pi\) |
−0.0597771 | + | 0.998212i | \(0.519039\pi\) | |||||||
\(128\) | 0.654861 | + | 0.755750i | 0.0578821 | + | 0.0667995i | ||||
\(129\) | 8.50341 | − | 2.49683i | 0.748684 | − | 0.219833i | ||||
\(130\) | 0.990289 | − | 6.88761i | 0.0868541 | − | 0.604084i | ||||
\(131\) | 4.98808 | − | 5.75656i | 0.435811 | − | 0.502953i | −0.494778 | − | 0.869020i | \(-0.664750\pi\) |
0.930588 | + | 0.366067i | \(0.119296\pi\) | |||||||
\(132\) | 1.56024 | − | 3.41646i | 0.135802 | − | 0.297364i | ||||
\(133\) | −10.2941 | − | 3.02263i | −0.892616 | − | 0.262096i | ||||
\(134\) | −0.427744 | − | 0.936629i | −0.0369515 | − | 0.0809125i | ||||
\(135\) | 0.142315 | + | 0.989821i | 0.0122485 | + | 0.0851903i | ||||
\(136\) | 5.89475 | + | 3.78833i | 0.505471 | + | 0.324846i | ||||
\(137\) | 0.457151 | 0.0390571 | 0.0195285 | − | 0.999809i | \(-0.493783\pi\) | ||||
0.0195285 | + | 0.999809i | \(0.493783\pi\) | |||||||
\(138\) | 3.65312 | + | 3.10720i | 0.310974 | + | 0.264503i | ||||
\(139\) | −3.56577 | −0.302445 | −0.151222 | − | 0.988500i | \(-0.548321\pi\) | ||||
−0.151222 | + | 0.988500i | \(0.548321\pi\) | |||||||
\(140\) | 3.78577 | + | 2.43297i | 0.319956 | + | 0.205623i | ||||
\(141\) | 0.579898 | + | 4.03328i | 0.0488362 | + | 0.339663i | ||||
\(142\) | 2.07052 | + | 4.53381i | 0.173754 | + | 0.380469i | ||||
\(143\) | 25.0763 | + | 7.36307i | 2.09699 | + | 0.615731i | ||||
\(144\) | 0.415415 | − | 0.909632i | 0.0346179 | − | 0.0758027i | ||||
\(145\) | −3.27740 | + | 3.78232i | −0.272173 | + | 0.314105i | ||||
\(146\) | −0.887441 | + | 6.17229i | −0.0734451 | + | 0.510822i | ||||
\(147\) | −12.7146 | + | 3.73336i | −1.04869 | + | 0.307922i | ||||
\(148\) | 4.92234 | + | 5.68069i | 0.404614 | + | 0.466949i | ||||
\(149\) | 3.18680 | − | 2.04803i | 0.261073 | − | 0.167781i | −0.403556 | − | 0.914955i | \(-0.632226\pi\) |
0.664629 | + | 0.747173i | \(0.268590\pi\) | |||||||
\(150\) | −0.841254 | + | 0.540641i | −0.0686881 | + | 0.0441431i | ||||
\(151\) | 8.19411 | + | 9.45651i | 0.666827 | + | 0.769560i | 0.983876 | − | 0.178849i | \(-0.0572375\pi\) |
−0.317049 | + | 0.948409i | \(0.602692\pi\) | |||||||
\(152\) | −2.28751 | + | 0.671673i | −0.185541 | + | 0.0544799i | ||||
\(153\) | 0.997215 | − | 6.93578i | 0.0806201 | − | 0.560725i | ||||
\(154\) | −11.0685 | + | 12.7737i | −0.891921 | + | 1.02933i | ||||
\(155\) | 1.64823 | − | 3.60913i | 0.132389 | − | 0.289892i | ||||
\(156\) | 6.67657 | + | 1.96042i | 0.534554 | + | 0.156959i | ||||
\(157\) | 1.83361 | + | 4.01505i | 0.146338 | + | 0.320436i | 0.968580 | − | 0.248702i | \(-0.0800041\pi\) |
−0.822242 | + | 0.569139i | \(0.807277\pi\) | |||||||
\(158\) | 0.566437 | + | 3.93965i | 0.0450633 | + | 0.313422i | ||||
\(159\) | −3.29843 | − | 2.11977i | −0.261582 | − | 0.168109i | ||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | −11.8343 | − | 18.0481i | −0.932670 | − | 1.42239i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 4.73056 | + | 3.04014i | 0.370526 | + | 0.238122i | 0.712631 | − | 0.701539i | \(-0.247504\pi\) |
−0.342105 | + | 0.939662i | \(0.611140\pi\) | |||||||
\(164\) | −0.313444 | − | 2.18005i | −0.0244759 | − | 0.170234i | ||||
\(165\) | −1.56024 | − | 3.41646i | −0.121465 | − | 0.265971i | ||||
\(166\) | 14.6281 | + | 4.29519i | 1.13536 | + | 0.333371i | ||||
\(167\) | 6.75084 | − | 14.7823i | 0.522395 | − | 1.14389i | −0.446129 | − | 0.894969i | \(-0.647198\pi\) |
0.968525 | − | 0.248918i | \(-0.0800749\pi\) | |||||||
\(168\) | −2.94698 | + | 3.40099i | −0.227364 | + | 0.262392i | ||||
\(169\) | −5.04078 | + | 35.0594i | −0.387752 | + | 2.69687i | ||||
\(170\) | 6.72327 | − | 1.97413i | 0.515651 | − | 0.151409i | ||||
\(171\) | 1.56124 | + | 1.80177i | 0.119391 | + | 0.137785i | ||||
\(172\) | −7.45553 | + | 4.79138i | −0.568479 | + | 0.365339i | ||||
\(173\) | 1.43265 | − | 0.920706i | 0.108922 | − | 0.0700000i | −0.485046 | − | 0.874489i | \(-0.661197\pi\) |
0.593968 | + | 0.804489i | \(0.297561\pi\) | |||||||
\(174\) | −3.27740 | − | 3.78232i | −0.248459 | − | 0.286737i | ||||
\(175\) | 4.31787 | − | 1.26784i | 0.326400 | − | 0.0958398i | ||||
\(176\) | −0.534516 | + | 3.71764i | −0.0402906 | + | 0.280228i | ||||
\(177\) | −7.13771 | + | 8.23736i | −0.536503 | + | 0.619158i | ||||
\(178\) | 5.35812 | − | 11.7327i | 0.401608 | − | 0.879400i | ||||
\(179\) | −12.5417 | − | 3.68258i | −0.937411 | − | 0.275249i | −0.222875 | − | 0.974847i | \(-0.571544\pi\) |
−0.714536 | + | 0.699598i | \(0.753362\pi\) | |||||||
\(180\) | −0.415415 | − | 0.909632i | −0.0309632 | − | 0.0678000i | ||||
\(181\) | −2.82585 | − | 19.6542i | −0.210043 | − | 1.46088i | −0.773004 | − | 0.634401i | \(-0.781247\pi\) |
0.562961 | − | 0.826484i | \(-0.309662\pi\) | |||||||
\(182\) | −26.3431 | − | 16.9297i | −1.95268 | − | 1.25491i | ||||
\(183\) | −13.3202 | −0.984654 | ||||||||
\(184\) | −4.38054 | − | 1.95214i | −0.322938 | − | 0.143914i | ||||
\(185\) | 7.51662 | 0.552633 | ||||||||
\(186\) | 3.33782 | + | 2.14509i | 0.244741 | + | 0.157286i | ||||
\(187\) | 3.74541 | + | 26.0499i | 0.273891 | + | 1.90496i | ||||
\(188\) | −1.69271 | − | 3.70652i | −0.123454 | − | 0.270326i | ||||
\(189\) | 4.31787 | + | 1.26784i | 0.314079 | + | 0.0922219i | ||||
\(190\) | −0.990383 | + | 2.16864i | −0.0718499 | + | 0.157329i | ||||
\(191\) | 4.27913 | − | 4.93837i | 0.309627 | − | 0.357328i | −0.579514 | − | 0.814962i | \(-0.696758\pi\) |
0.889141 | + | 0.457634i | \(0.151303\pi\) | |||||||
\(192\) | −0.142315 | + | 0.989821i | −0.0102707 | + | 0.0714342i | ||||
\(193\) | −3.55126 | + | 1.04275i | −0.255626 | + | 0.0750584i | −0.407035 | − | 0.913413i | \(-0.633437\pi\) |
0.151409 | + | 0.988471i | \(0.451619\pi\) | |||||||
\(194\) | −4.26947 | − | 4.92723i | −0.306530 | − | 0.353754i | ||||
\(195\) | 5.85381 | − | 3.76202i | 0.419200 | − | 0.269404i | ||||
\(196\) | 11.1478 | − | 7.16426i | 0.796272 | − | 0.511733i | ||||
\(197\) | 8.30675 | + | 9.58650i | 0.591831 | + | 0.683010i | 0.970105 | − | 0.242684i | \(-0.0780278\pi\) |
−0.378274 | + | 0.925694i | \(0.623482\pi\) | |||||||
\(198\) | 3.60373 | − | 1.05815i | 0.256106 | − | 0.0751995i | ||||
\(199\) | −0.731905 | + | 5.09051i | −0.0518833 | + | 0.360857i | 0.947296 | + | 0.320359i | \(0.103803\pi\) |
−0.999180 | + | 0.0404978i | \(0.987106\pi\) | |||||||
\(200\) | 0.654861 | − | 0.755750i | 0.0463056 | − | 0.0534396i | ||||
\(201\) | 0.427744 | − | 0.936629i | 0.0301708 | − | 0.0660647i | ||||
\(202\) | −4.20064 | − | 1.23342i | −0.295556 | − | 0.0867831i | ||||
\(203\) | 9.35601 | + | 20.4868i | 0.656663 | + | 1.43789i | ||||
\(204\) | 0.997215 | + | 6.93578i | 0.0698190 | + | 0.485602i | ||||
\(205\) | −1.85284 | − | 1.19075i | −0.129408 | − | 0.0831653i | ||||
\(206\) | −0.117733 | −0.00820288 | ||||||||
\(207\) | 0.0440162 | + | 4.79563i | 0.00305933 | + | 0.333319i | ||||
\(208\) | −6.95844 | −0.482481 | ||||||||
\(209\) | −7.53283 | − | 4.84105i | −0.521057 | − | 0.334863i | ||||
\(210\) | 0.640439 | + | 4.45435i | 0.0441945 | + | 0.307380i | ||||
\(211\) | 0.942067 | + | 2.06284i | 0.0648546 | + | 0.142012i | 0.939284 | − | 0.343142i | \(-0.111491\pi\) |
−0.874429 | + | 0.485153i | \(0.838764\pi\) | |||||||
\(212\) | 3.76202 | + | 1.10463i | 0.258377 | + | 0.0758663i | ||||
\(213\) | −2.07052 | + | 4.53381i | −0.141870 | + | 0.310652i | ||||
\(214\) | 6.81339 | − | 7.86307i | 0.465754 | − | 0.537508i | ||||
\(215\) | −1.26125 | + | 8.77220i | −0.0860166 | + | 0.598259i | ||||
\(216\) | 0.959493 | − | 0.281733i | 0.0652852 | − | 0.0191695i | ||||
\(217\) | −11.6927 | − | 13.4940i | −0.793749 | − | 0.916036i | ||||
\(218\) | 16.9164 | − | 10.8715i | 1.14572 | − | 0.736311i | ||||
\(219\) | −5.24585 | + | 3.37131i | −0.354482 | + | 0.227812i | ||||
\(220\) | 2.45957 | + | 2.83850i | 0.165824 | + | 0.191371i | ||||
\(221\) | −46.7835 | + | 13.7369i | −3.14700 | + | 0.924042i | ||||
\(222\) | −1.06973 | + | 7.44012i | −0.0717954 | + | 0.499348i | ||||
\(223\) | −8.05267 | + | 9.29328i | −0.539247 | + | 0.622324i | −0.958344 | − | 0.285618i | \(-0.907801\pi\) |
0.419097 | + | 0.907941i | \(0.362347\pi\) | |||||||
\(224\) | 1.86943 | − | 4.09349i | 0.124907 | − | 0.273508i | ||||
\(225\) | −0.959493 | − | 0.281733i | −0.0639662 | − | 0.0187822i | ||||
\(226\) | 3.21381 | + | 7.03727i | 0.213780 | + | 0.468112i | ||||
\(227\) | 0.581482 | + | 4.04429i | 0.0385943 | + | 0.268429i | 0.999977 | − | 0.00678591i | \(-0.00216004\pi\) |
−0.961383 | + | 0.275215i | \(0.911251\pi\) | |||||||
\(228\) | −2.00562 | − | 1.28893i | −0.132825 | − | 0.0853615i | ||||
\(229\) | −12.1403 | −0.802253 | −0.401126 | − | 0.916023i | \(-0.631381\pi\) | ||||
−0.401126 | + | 0.916023i | \(0.631381\pi\) | |||||||
\(230\) | −4.34397 | + | 2.03222i | −0.286433 | + | 0.134000i | ||||
\(231\) | −16.9020 | −1.11207 | ||||||||
\(232\) | 4.21025 | + | 2.70576i | 0.276416 | + | 0.177642i | ||||
\(233\) | 2.65323 | + | 18.4536i | 0.173819 | + | 1.20894i | 0.870724 | + | 0.491772i | \(0.163651\pi\) |
−0.696905 | + | 0.717163i | \(0.745440\pi\) | |||||||
\(234\) | 2.89064 | + | 6.32962i | 0.188967 | + | 0.413780i | ||||
\(235\) | −3.90970 | − | 1.14799i | −0.255040 | − | 0.0748866i | ||||
\(236\) | 4.52785 | − | 9.91461i | 0.294738 | − | 0.645386i | ||||
\(237\) | −2.60645 | + | 3.00801i | −0.169307 | + | 0.195391i | ||||
\(238\) | 4.48763 | − | 31.2121i | 0.290890 | − | 2.02318i | ||||
\(239\) | −2.19543 | + | 0.644637i | −0.142011 | + | 0.0416981i | −0.351965 | − | 0.936013i | \(-0.614487\pi\) |
0.209955 | + | 0.977711i | \(0.432668\pi\) | |||||||
\(240\) | 0.654861 | + | 0.755750i | 0.0422711 | + | 0.0487834i | ||||
\(241\) | −11.0338 | + | 7.09102i | −0.710752 | + | 0.456772i | −0.845409 | − | 0.534120i | \(-0.820643\pi\) |
0.134657 | + | 0.990892i | \(0.457007\pi\) | |||||||
\(242\) | −2.61339 | + | 1.67952i | −0.167995 | + | 0.107964i | ||||
\(243\) | −0.654861 | − | 0.755750i | −0.0420093 | − | 0.0484814i | ||||
\(244\) | 12.7806 | − | 3.75272i | 0.818194 | − | 0.240243i | ||||
\(245\) | 1.88587 | − | 13.1165i | 0.120484 | − | 0.837985i | ||||
\(246\) | 1.44231 | − | 1.66452i | 0.0919584 | − | 0.106126i | ||||
\(247\) | 6.89152 | − | 15.0903i | 0.438497 | − | 0.960174i | ||||
\(248\) | −3.80696 | − | 1.11782i | −0.241742 | − | 0.0709819i | ||||
\(249\) | 6.33326 | + | 13.8679i | 0.401354 | + | 0.878843i | ||||
\(250\) | −0.142315 | − | 0.989821i | −0.00900078 | − | 0.0626018i | ||||
\(251\) | −3.60795 | − | 2.31869i | −0.227731 | − | 0.146354i | 0.421800 | − | 0.906689i | \(-0.361398\pi\) |
−0.649531 | + | 0.760335i | \(0.725035\pi\) | |||||||
\(252\) | −4.50016 | −0.283483 | ||||||||
\(253\) | −5.23312 | − | 17.2356i | −0.329003 | − | 1.08359i | ||||
\(254\) | 13.2971 | 0.834332 | ||||||||
\(255\) | 5.89475 | + | 3.78833i | 0.369144 | + | 0.237234i | ||||
\(256\) | −0.142315 | − | 0.989821i | −0.00889468 | − | 0.0618638i | ||||
\(257\) | 8.12908 | + | 17.8002i | 0.507078 | + | 1.11035i | 0.974104 | + | 0.226102i | \(0.0725984\pi\) |
−0.467025 | + | 0.884244i | \(0.654674\pi\) | |||||||
\(258\) | −8.50341 | − | 2.49683i | −0.529399 | − | 0.155446i | ||||
\(259\) | 14.0518 | − | 30.7692i | 0.873138 | − | 1.91191i | ||||
\(260\) | −4.55681 | + | 5.25884i | −0.282601 | + | 0.326139i | ||||
\(261\) | 0.712247 | − | 4.95379i | 0.0440870 | − | 0.306632i | ||||
\(262\) | −7.30847 | + | 2.14596i | −0.451519 | + | 0.132578i | ||||
\(263\) | 11.8728 | + | 13.7019i | 0.732108 | + | 0.844898i | 0.992707 | − | 0.120549i | \(-0.0384655\pi\) |
−0.260599 | + | 0.965447i | \(0.583920\pi\) | |||||||
\(264\) | −3.15964 | + | 2.03058i | −0.194462 | + | 0.124973i | ||||
\(265\) | 3.29843 | − | 2.11977i | 0.202621 | − | 0.130216i | ||||
\(266\) | 7.02583 | + | 8.10824i | 0.430781 | + | 0.497148i | ||||
\(267\) | 12.3758 | − | 3.63385i | 0.757385 | − | 0.222388i | ||||
\(268\) | −0.146539 | + | 1.01920i | −0.00895127 | + | 0.0622575i | ||||
\(269\) | 5.24425 | − | 6.05218i | 0.319747 | − | 0.369008i | −0.573008 | − | 0.819550i | \(-0.694224\pi\) |
0.892755 | + | 0.450542i | \(0.148769\pi\) | |||||||
\(270\) | 0.415415 | − | 0.909632i | 0.0252814 | − | 0.0553584i | ||||
\(271\) | −25.3828 | − | 7.45305i | −1.54189 | − | 0.452741i | −0.603227 | − | 0.797569i | \(-0.706119\pi\) |
−0.938666 | + | 0.344829i | \(0.887937\pi\) | |||||||
\(272\) | −2.91086 | − | 6.37389i | −0.176497 | − | 0.386474i | ||||
\(273\) | −4.45646 | − | 30.9953i | −0.269717 | − | 1.87592i | ||||
\(274\) | −0.384580 | − | 0.247155i | −0.0232333 | − | 0.0149312i | ||||
\(275\) | 3.75587 | 0.226487 | ||||||||
\(276\) | −1.39332 | − | 4.58897i | −0.0838679 | − | 0.276224i | ||||
\(277\) | −2.76068 | −0.165873 | −0.0829365 | − | 0.996555i | \(-0.526430\pi\) | ||||
−0.0829365 | + | 0.996555i | \(0.526430\pi\) | |||||||
\(278\) | 2.99972 | + | 1.92780i | 0.179911 | + | 0.115622i | ||||
\(279\) | 0.564660 | + | 3.92729i | 0.0338053 | + | 0.235121i | ||||
\(280\) | −1.86943 | − | 4.09349i | −0.111720 | − | 0.244633i | ||||
\(281\) | 27.1941 | + | 7.98491i | 1.62227 | + | 0.476340i | 0.961626 | − | 0.274363i | \(-0.0884671\pi\) |
0.660639 | + | 0.750704i | \(0.270285\pi\) | |||||||
\(282\) | 1.69271 | − | 3.70652i | 0.100800 | − | 0.220720i | ||||
\(283\) | 13.5748 | − | 15.6662i | 0.806939 | − | 0.931258i | −0.191801 | − | 0.981434i | \(-0.561433\pi\) |
0.998740 | + | 0.0501762i | \(0.0159783\pi\) | |||||||
\(284\) | 0.709330 | − | 4.93350i | 0.0420910 | − | 0.292749i | ||||
\(285\) | −2.28751 | + | 0.671673i | −0.135500 | + | 0.0397865i | ||||
\(286\) | −17.1148 | − | 19.7515i | −1.01202 | − | 1.16793i | ||||
\(287\) | −8.33806 | + | 5.35854i | −0.492180 | + | 0.316305i | ||||
\(288\) | −0.841254 | + | 0.540641i | −0.0495713 | + | 0.0318576i | ||||
\(289\) | −21.0207 | − | 24.2592i | −1.23651 | − | 1.42701i | ||||
\(290\) | 4.80200 | − | 1.41000i | 0.281983 | − | 0.0827978i | ||||
\(291\) | 0.927844 | − | 6.45330i | 0.0543912 | − | 0.378299i | ||||
\(292\) | 4.08355 | − | 4.71267i | 0.238972 | − | 0.275788i | ||||
\(293\) | 3.82530 | − | 8.37623i | 0.223476 | − | 0.489345i | −0.764370 | − | 0.644778i | \(-0.776950\pi\) |
0.987846 | + | 0.155433i | \(0.0496772\pi\) | |||||||
\(294\) | 12.7146 | + | 3.73336i | 0.741533 | + | 0.217734i | ||||
\(295\) | −4.52785 | − | 9.91461i | −0.263622 | − | 0.577251i | ||||
\(296\) | −1.06973 | − | 7.44012i | −0.0621766 | − | 0.432448i | ||||
\(297\) | 3.15964 | + | 2.03058i | 0.183341 | + | 0.117826i | ||||
\(298\) | −3.78816 | −0.219442 | ||||||||
\(299\) | 30.2273 | − | 14.1410i | 1.74809 | − | 0.817798i | ||||
\(300\) | 1.00000 | 0.0577350 | ||||||||
\(301\) | 33.5511 | + | 21.5620i | 1.93385 | + | 1.24281i | ||||
\(302\) | −1.78075 | − | 12.3854i | −0.102471 | − | 0.712699i | ||||
\(303\) | −1.81868 | − | 3.98235i | −0.104480 | − | 0.228780i | ||||
\(304\) | 2.28751 | + | 0.671673i | 0.131198 | + | 0.0385231i | ||||
\(305\) | 5.53339 | − | 12.1164i | 0.316841 | − | 0.693785i | ||||
\(306\) | −4.58868 | + | 5.29562i | −0.262317 | + | 0.302730i | ||||
\(307\) | −1.33473 | + | 9.28328i | −0.0761773 | + | 0.529825i | 0.915624 | + | 0.402036i | \(0.131697\pi\) |
−0.991801 | + | 0.127789i | \(0.959212\pi\) | |||||||
\(308\) | 16.2173 | − | 4.76184i | 0.924069 | − | 0.271331i | ||||
\(309\) | −0.0770990 | − | 0.0889770i | −0.00438601 | − | 0.00506173i | ||||
\(310\) | −3.33782 | + | 2.14509i | −0.189576 | + | 0.121833i | ||||
\(311\) | −6.99976 | + | 4.49847i | −0.396920 | + | 0.255085i | −0.723841 | − | 0.689967i | \(-0.757625\pi\) |
0.326921 | + | 0.945052i | \(0.393989\pi\) | |||||||
\(312\) | −4.55681 | − | 5.25884i | −0.257979 | − | 0.297723i | ||||
\(313\) | −19.6564 | + | 5.77163i | −1.11104 | + | 0.326232i | −0.785232 | − | 0.619202i | \(-0.787456\pi\) |
−0.325813 | + | 0.945434i | \(0.605638\pi\) | |||||||
\(314\) | 0.628168 | − | 4.36900i | 0.0354496 | − | 0.246557i | ||||
\(315\) | −2.94698 | + | 3.40099i | −0.166043 | + | 0.191624i | ||||
\(316\) | 1.65342 | − | 3.62049i | 0.0930122 | − | 0.203668i | ||||
\(317\) | 28.9344 | + | 8.49590i | 1.62512 | + | 0.477177i | 0.962387 | − | 0.271682i | \(-0.0875797\pi\) |
0.662730 | + | 0.748859i | \(0.269398\pi\) | |||||||
\(318\) | 1.62878 | + | 3.56653i | 0.0913373 | + | 0.200001i | ||||
\(319\) | 2.67511 | + | 18.6058i | 0.149777 | + | 1.04172i | ||||
\(320\) | −0.841254 | − | 0.540641i | −0.0470275 | − | 0.0302227i | ||||
\(321\) | 10.4043 | 0.580713 | ||||||||
\(322\) | 0.198080 | + | 21.5811i | 0.0110385 | + | 1.20267i | ||||
\(323\) | 16.7055 | 0.929519 | ||||||||
\(324\) | 0.841254 | + | 0.540641i | 0.0467363 | + | 0.0300356i | ||||
\(325\) | 0.990289 | + | 6.88761i | 0.0549314 | + | 0.382056i | ||||
\(326\) | −2.33597 | − | 5.11506i | −0.129377 | − | 0.283297i | ||||
\(327\) | 19.2940 | + | 5.66523i | 1.06696 | + | 0.313288i | ||||
\(328\) | −0.914940 | + | 2.00344i | −0.0505191 | + | 0.110621i | ||||
\(329\) | −12.0082 | + | 13.8582i | −0.662033 | + | 0.764027i | ||||
\(330\) | −0.534516 | + | 3.71764i | −0.0294241 | + | 0.204649i | ||||
\(331\) | −20.1419 | + | 5.91420i | −1.10710 | + | 0.325074i | −0.783670 | − | 0.621178i | \(-0.786655\pi\) |
−0.323431 | + | 0.946252i | \(0.604836\pi\) | |||||||
\(332\) | −9.98376 | − | 11.5219i | −0.547930 | − | 0.632345i | ||||
\(333\) | −6.32339 | + | 4.06379i | −0.346519 | + | 0.222695i | ||||
\(334\) | −13.6711 | + | 8.78586i | −0.748047 | + | 0.480741i | ||||
\(335\) | 0.674297 | + | 0.778180i | 0.0368408 | + | 0.0425165i | ||||
\(336\) | 4.31787 | − | 1.26784i | 0.235559 | − | 0.0691664i | ||||
\(337\) | 4.82099 | − | 33.5307i | 0.262616 | − | 1.82653i | −0.250386 | − | 0.968146i | \(-0.580557\pi\) |
0.513001 | − | 0.858388i | \(-0.328534\pi\) | |||||||
\(338\) | 23.1951 | − | 26.7686i | 1.26165 | − | 1.45602i | ||||
\(339\) | −3.21381 | + | 7.03727i | −0.174550 | + | 0.382212i | ||||
\(340\) | −6.72327 | − | 1.97413i | −0.364620 | − | 0.107062i | ||||
\(341\) | −6.19055 | − | 13.5554i | −0.335237 | − | 0.734067i | ||||
\(342\) | −0.339290 | − | 2.35981i | −0.0183467 | − | 0.127604i | ||||
\(343\) | −23.6665 | − | 15.2095i | −1.27787 | − | 0.821237i | ||||
\(344\) | 8.86240 | 0.477829 | ||||||||
\(345\) | −4.38054 | − | 1.95214i | −0.235841 | − | 0.105100i | ||||
\(346\) | −1.70299 | −0.0915533 | ||||||||
\(347\) | −7.31702 | − | 4.70236i | −0.392798 | − | 0.252436i | 0.329302 | − | 0.944225i | \(-0.393187\pi\) |
−0.722100 | + | 0.691789i | \(0.756823\pi\) | |||||||
\(348\) | 0.712247 | + | 4.95379i | 0.0381805 | + | 0.265551i | ||||
\(349\) | −3.81184 | − | 8.34677i | −0.204043 | − | 0.446792i | 0.779752 | − | 0.626089i | \(-0.215345\pi\) |
−0.983795 | + | 0.179296i | \(0.942618\pi\) | |||||||
\(350\) | −4.31787 | − | 1.26784i | −0.230800 | − | 0.0677690i | ||||
\(351\) | −2.89064 | + | 6.32962i | −0.154291 | + | 0.337850i | ||||
\(352\) | 2.45957 | − | 2.83850i | 0.131096 | − | 0.151292i | ||||
\(353\) | −0.547749 | + | 3.80968i | −0.0291537 | + | 0.202769i | −0.999192 | − | 0.0401820i | \(-0.987206\pi\) |
0.970039 | + | 0.242951i | \(0.0781153\pi\) | |||||||
\(354\) | 10.4581 | − | 3.07077i | 0.555840 | − | 0.163209i | ||||
\(355\) | −3.26398 | − | 3.76683i | −0.173234 | − | 0.199922i | ||||
\(356\) | −10.8507 | + | 6.97332i | −0.575086 | + | 0.369585i | ||||
\(357\) | 26.5273 | − | 17.0481i | 1.40397 | − | 0.902280i | ||||
\(358\) | 8.55980 | + | 9.87854i | 0.452400 | + | 0.522097i | ||||
\(359\) | −12.0921 | + | 3.55056i | −0.638196 | + | 0.187391i | −0.584794 | − | 0.811182i | \(-0.698825\pi\) |
−0.0534020 | + | 0.998573i | \(0.517006\pi\) | |||||||
\(360\) | −0.142315 | + | 0.989821i | −0.00750065 | + | 0.0521682i | ||||
\(361\) | 8.72023 | − | 10.0637i | 0.458960 | − | 0.529668i | ||||
\(362\) | −8.24860 | + | 18.0619i | −0.433537 | + | 0.949314i | ||||
\(363\) | −2.98070 | − | 0.875214i | −0.156446 | − | 0.0459368i | ||||
\(364\) | 13.0083 | + | 28.4843i | 0.681822 | + | 1.49298i | ||||
\(365\) | −0.887441 | − | 6.17229i | −0.0464508 | − | 0.323072i | ||||
\(366\) | 11.2056 | + | 7.20142i | 0.585728 | + | 0.376424i | ||||
\(367\) | −9.04072 | −0.471922 | −0.235961 | − | 0.971763i | \(-0.575824\pi\) | ||||
−0.235961 | + | 0.971763i | \(0.575824\pi\) | |||||||
\(368\) | 2.62974 | + | 4.01054i | 0.137085 | + | 0.209064i | ||||
\(369\) | 2.20247 | 0.114656 | ||||||||
\(370\) | −6.32339 | − | 4.06379i | −0.328737 | − | 0.211267i | ||||
\(371\) | −2.51106 | − | 17.4648i | −0.130368 | − | 0.906729i | ||||
\(372\) | −1.64823 | − | 3.60913i | −0.0854569 | − | 0.187125i | ||||
\(373\) | 22.6519 | + | 6.65120i | 1.17287 | + | 0.344386i | 0.809421 | − | 0.587228i | \(-0.199781\pi\) |
0.363449 | + | 0.931614i | \(0.381599\pi\) | |||||||
\(374\) | 10.9328 | − | 23.9395i | 0.565321 | − | 1.23788i | ||||
\(375\) | 0.654861 | − | 0.755750i | 0.0338169 | − | 0.0390267i | ||||
\(376\) | −0.579898 | + | 4.03328i | −0.0299059 | + | 0.208000i | ||||
\(377\) | −33.4144 | + | 9.81137i | −1.72093 | + | 0.505311i | ||||
\(378\) | −2.94698 | − | 3.40099i | −0.151576 | − | 0.174928i | ||||
\(379\) | −24.7485 | + | 15.9049i | −1.27124 | + | 0.816979i | −0.989781 | − | 0.142593i | \(-0.954456\pi\) |
−0.281463 | + | 0.959572i | \(0.590820\pi\) | |||||||
\(380\) | 2.00562 | − | 1.28893i | 0.102886 | − | 0.0661208i | ||||
\(381\) | 8.70772 | + | 10.0492i | 0.446110 | + | 0.514839i | ||||
\(382\) | −6.26972 | + | 1.84095i | −0.320787 | + | 0.0941914i | ||||
\(383\) | −1.91168 | + | 13.2961i | −0.0976825 | + | 0.679396i | 0.880864 | + | 0.473370i | \(0.156963\pi\) |
−0.978546 | + | 0.206027i | \(0.933947\pi\) | |||||||
\(384\) | 0.654861 | − | 0.755750i | 0.0334182 | − | 0.0385667i | ||||
\(385\) | 7.02134 | − | 15.3746i | 0.357841 | − | 0.783562i | ||||
\(386\) | 3.55126 | + | 1.04275i | 0.180755 | + | 0.0530743i | ||||
\(387\) | −3.68158 | − | 8.06153i | −0.187145 | − | 0.409790i | ||||
\(388\) | 0.927844 | + | 6.45330i | 0.0471041 | + | 0.327616i | ||||
\(389\) | −14.7126 | − | 9.45523i | −0.745959 | − | 0.479399i | 0.111620 | − | 0.993751i | \(-0.464396\pi\) |
−0.857579 | + | 0.514352i | \(0.828032\pi\) | |||||||
\(390\) | −6.95844 | −0.352354 | ||||||||
\(391\) | 25.5978 | + | 21.7725i | 1.29454 | + | 1.10108i | ||||
\(392\) | −13.2514 | −0.669298 | ||||||||
\(393\) | −6.40784 | − | 4.11807i | −0.323233 | − | 0.207729i | ||||
\(394\) | −1.80523 | − | 12.5556i | −0.0909461 | − | 0.632544i | ||||
\(395\) | −1.65342 | − | 3.62049i | −0.0831926 | − | 0.182166i | ||||
\(396\) | −3.60373 | − | 1.05815i | −0.181094 | − | 0.0531740i | ||||
\(397\) | 8.11992 | − | 17.7802i | 0.407527 | − | 0.892360i | −0.588924 | − | 0.808188i | \(-0.700448\pi\) |
0.996451 | − | 0.0841718i | \(-0.0268245\pi\) | |||||||
\(398\) | 3.36785 | − | 3.88671i | 0.168815 | − | 0.194823i | ||||
\(399\) | −1.52686 | + | 10.6195i | −0.0764385 | + | 0.531642i | ||||
\(400\) | −0.959493 | + | 0.281733i | −0.0479746 | + | 0.0140866i | ||||
\(401\) | 13.5061 | + | 15.5869i | 0.674464 | + | 0.778373i | 0.985068 | − | 0.172167i | \(-0.0550768\pi\) |
−0.310604 | + | 0.950539i | \(0.600531\pi\) | |||||||
\(402\) | −0.866222 | + | 0.556687i | −0.0432032 | + | 0.0277650i | ||||
\(403\) | 23.2261 | − | 14.9265i | 1.15697 | − | 0.743541i | ||||
\(404\) | 2.86697 | + | 3.30866i | 0.142637 | + | 0.164612i | ||||
\(405\) | 0.959493 | − | 0.281733i | 0.0476776 | − | 0.0139994i | ||||
\(406\) | 3.20523 | − | 22.2928i | 0.159073 | − | 1.10637i | ||||
\(407\) | 18.4877 | − | 21.3359i | 0.916400 | − | 1.05758i | ||||
\(408\) | 2.91086 | − | 6.37389i | 0.144109 | − | 0.315554i | ||||
\(409\) | −6.72040 | − | 1.97329i | −0.332303 | − | 0.0975728i | 0.111325 | − | 0.993784i | \(-0.464491\pi\) |
−0.443628 | + | 0.896211i | \(0.646309\pi\) | |||||||
\(410\) | 0.914940 | + | 2.00344i | 0.0451856 | + | 0.0989428i | ||||
\(411\) | −0.0650594 | − | 0.452498i | −0.00320915 | − | 0.0223201i | ||||
\(412\) | 0.0990437 | + | 0.0636515i | 0.00487953 | + | 0.00313589i | ||||
\(413\) | −49.0499 | −2.41359 | ||||||||
\(414\) | 2.55568 | − | 4.05814i | 0.125605 | − | 0.199447i | ||||
\(415\) | −15.2456 | −0.748378 | ||||||||
\(416\) | 5.85381 | + | 3.76202i | 0.287007 | + | 0.184448i | ||||
\(417\) | 0.507462 | + | 3.52947i | 0.0248505 | + | 0.172839i | ||||
\(418\) | 3.71975 | + | 8.14511i | 0.181939 | + | 0.398390i | ||||
\(419\) | −31.9607 | − | 9.38450i | −1.56138 | − | 0.458463i | −0.616904 | − | 0.787038i | \(-0.711613\pi\) |
−0.944478 | + | 0.328575i | \(0.893432\pi\) | |||||||
\(420\) | 1.86943 | − | 4.09349i | 0.0912190 | − | 0.199742i | ||||
\(421\) | −14.5762 | + | 16.8218i | −0.710400 | + | 0.819846i | −0.990118 | − | 0.140237i | \(-0.955214\pi\) |
0.279718 | + | 0.960082i | \(0.409759\pi\) | |||||||
\(422\) | 0.322738 | − | 2.24469i | 0.0157106 | − | 0.109270i | ||||
\(423\) | 3.90970 | − | 1.14799i | 0.190096 | − | 0.0558172i | ||||
\(424\) | −2.56761 | − | 2.96318i | −0.124694 | − | 0.143905i | ||||
\(425\) | −5.89475 | + | 3.78833i | −0.285938 | + | 0.183761i | ||||
\(426\) | 4.19300 | − | 2.69468i | 0.203151 | − | 0.130558i | ||||
\(427\) | −39.2542 | − | 45.3018i | −1.89964 | − | 2.19231i | ||||
\(428\) | −9.98288 | + | 2.93124i | −0.482541 | + | 0.141687i | ||||
\(429\) | 3.71940 | − | 25.8690i | 0.179574 | − | 1.24897i | ||||
\(430\) | 5.80364 | − | 6.69776i | 0.279876 | − | 0.322995i | ||||
\(431\) | 0.409021 | − | 0.895632i | 0.0197019 | − | 0.0431411i | −0.899525 | − | 0.436869i | \(-0.856087\pi\) |
0.919227 | + | 0.393728i | \(0.128815\pi\) | |||||||
\(432\) | −0.959493 | − | 0.281733i | −0.0461636 | − | 0.0135549i | ||||
\(433\) | −2.31200 | − | 5.06257i | −0.111108 | − | 0.243292i | 0.845908 | − | 0.533329i | \(-0.179059\pi\) |
−0.957015 | + | 0.290038i | \(0.906332\pi\) | |||||||
\(434\) | 2.54106 | + | 17.6734i | 0.121975 | + | 0.848353i | ||||
\(435\) | 4.21025 | + | 2.70576i | 0.201866 | + | 0.129731i | ||||
\(436\) | −20.1086 | −0.963025 | ||||||||
\(437\) | −11.3019 | + | 1.73098i | −0.540641 | + | 0.0828040i | ||||
\(438\) | 6.23576 | 0.297956 | ||||||||
\(439\) | 23.3856 | + | 15.0290i | 1.11613 | + | 0.717295i | 0.962621 | − | 0.270852i | \(-0.0873055\pi\) |
0.153511 | + | 0.988147i | \(0.450942\pi\) | |||||||
\(440\) | −0.534516 | − | 3.71764i | −0.0254820 | − | 0.177231i | ||||
\(441\) | 5.50484 | + | 12.0539i | 0.262135 | + | 0.573996i | ||||
\(442\) | 46.7835 | + | 13.7369i | 2.22526 | + | 0.653396i | ||||
\(443\) | 7.35780 | − | 16.1113i | 0.349580 | − | 0.765473i | −0.650403 | − | 0.759589i | \(-0.725400\pi\) |
0.999983 | − | 0.00588337i | \(-0.00187275\pi\) | |||||||
\(444\) | 4.92234 | − | 5.68069i | 0.233604 | − | 0.269593i | ||||
\(445\) | −1.83561 | + | 12.7670i | −0.0870163 | + | 0.605212i | ||||
\(446\) | 11.7987 | − | 3.46440i | 0.558683 | − | 0.164044i | ||||
\(447\) | −2.48072 | − | 2.86290i | −0.117334 | − | 0.135411i | ||||
\(448\) | −3.78577 | + | 2.43297i | −0.178861 | + | 0.114947i | ||||
\(449\) | 20.5880 | − | 13.2311i | 0.971609 | − | 0.624415i | 0.0444217 | − | 0.999013i | \(-0.485855\pi\) |
0.927187 | + | 0.374598i | \(0.122219\pi\) | |||||||
\(450\) | 0.654861 | + | 0.755750i | 0.0308704 | + | 0.0356264i | ||||
\(451\) | −7.93711 | + | 2.33054i | −0.373744 | + | 0.109741i | ||||
\(452\) | 1.10100 | − | 7.65765i | 0.0517869 | − | 0.360185i | ||||
\(453\) | 8.19411 | − | 9.45651i | 0.384993 | − | 0.444306i | ||||
\(454\) | 1.69734 | − | 3.71665i | 0.0796599 | − | 0.174431i | ||||
\(455\) | 30.0456 | + | 8.82220i | 1.40856 | + | 0.413591i | ||||
\(456\) | 0.990383 | + | 2.16864i | 0.0463789 | + | 0.101556i | ||||
\(457\) | 2.29012 | + | 15.9281i | 0.107127 | + | 0.745087i | 0.970601 | + | 0.240694i | \(0.0773749\pi\) |
−0.863474 | + | 0.504394i | \(0.831716\pi\) | |||||||
\(458\) | 10.2131 | + | 6.56353i | 0.477225 | + | 0.306694i | ||||
\(459\) | −7.00711 | −0.327064 | ||||||||
\(460\) | 4.75308 | + | 0.638921i | 0.221614 | + | 0.0297898i | ||||
\(461\) | 7.38655 | 0.344026 | 0.172013 | − | 0.985095i | \(-0.444973\pi\) | ||||
0.172013 | + | 0.985095i | \(0.444973\pi\) | |||||||
\(462\) | 14.2189 | + | 9.13791i | 0.661521 | + | 0.425134i | ||||
\(463\) | 0.0233132 | + | 0.162147i | 0.00108346 | + | 0.00753560i | 0.990356 | − | 0.138546i | \(-0.0442429\pi\) |
−0.989273 | + | 0.146082i | \(0.953334\pi\) | |||||||
\(464\) | −2.07904 | − | 4.55246i | −0.0965170 | − | 0.211343i | ||||
\(465\) | −3.80696 | − | 1.11782i | −0.176544 | − | 0.0518379i | ||||
\(466\) | 7.74473 | − | 16.9586i | 0.358768 | − | 0.785592i | ||||
\(467\) | 10.6615 | − | 12.3040i | 0.493354 | − | 0.569361i | −0.453405 | − | 0.891305i | \(-0.649791\pi\) |
0.946759 | + | 0.321944i | \(0.104336\pi\) | |||||||
\(468\) | 0.990289 | − | 6.88761i | 0.0457761 | − | 0.318380i | ||||
\(469\) | 4.44602 | − | 1.30547i | 0.205298 | − | 0.0602810i | ||||
\(470\) | 2.66840 | + | 3.07949i | 0.123084 | + | 0.142046i | ||||
\(471\) | 3.71324 | − | 2.38635i | 0.171097 | − | 0.109957i | ||||
\(472\) | −9.16931 | + | 5.89276i | −0.422052 | + | 0.271236i | ||||
\(473\) | 21.7977 | + | 25.1559i | 1.00226 | + | 1.15667i | ||||
\(474\) | 3.81894 | − | 1.12134i | 0.175410 | − | 0.0515050i | ||||
\(475\) | 0.339290 | − | 2.35981i | 0.0155677 | − | 0.108276i | ||||
\(476\) | −20.6498 | + | 23.8311i | −0.946481 | + | 1.09230i | ||||
\(477\) | −1.62878 | + | 3.56653i | −0.0745766 | + | 0.163300i | ||||
\(478\) | 2.19543 | + | 0.644637i | 0.100417 | + | 0.0294850i | ||||
\(479\) | 5.15018 | + | 11.2773i | 0.235318 | + | 0.515274i | 0.990043 | − | 0.140767i | \(-0.0449569\pi\) |
−0.754725 | + | 0.656042i | \(0.772230\pi\) | |||||||
\(480\) | −0.142315 | − | 0.989821i | −0.00649575 | − | 0.0451790i | ||||
\(481\) | 44.0009 | + | 28.2777i | 2.00627 | + | 1.28935i | ||||
\(482\) | 13.1159 | 0.597415 | ||||||||
\(483\) | −16.1802 | + | 14.2823i | −0.736224 | + | 0.649867i | ||||
\(484\) | 3.10654 | 0.141206 | ||||||||
\(485\) | 5.48468 | + | 3.52479i | 0.249047 | + | 0.160053i | ||||
\(486\) | 0.142315 | + | 0.989821i | 0.00645553 | + | 0.0448992i | ||||
\(487\) | 15.8612 | + | 34.7313i | 0.718742 | + | 1.57382i | 0.815659 | + | 0.578532i | \(0.196374\pi\) |
−0.0969178 | + | 0.995292i | \(0.530898\pi\) | |||||||
\(488\) | −12.7806 | − | 3.75272i | −0.578550 | − | 0.169878i | ||||
\(489\) | 2.33597 | − | 5.11506i | 0.105636 | − | 0.231311i | ||||
\(490\) | −8.67784 | + | 10.0148i | −0.392025 | + | 0.452421i | ||||
\(491\) | 3.61330 | − | 25.1311i | 0.163066 | − | 1.13415i | −0.729746 | − | 0.683719i | \(-0.760362\pi\) |
0.892812 | − | 0.450430i | \(-0.148729\pi\) | |||||||
\(492\) | −2.11326 | + | 0.620508i | −0.0952729 | + | 0.0279747i | ||||
\(493\) | −22.9651 | − | 26.5031i | −1.03430 | − | 1.19364i | ||||
\(494\) | −13.9560 | + | 8.96895i | −0.627908 | + | 0.403532i | ||||
\(495\) | −3.15964 | + | 2.03058i | −0.142015 | + | 0.0912676i | ||||
\(496\) | 2.59828 | + | 2.99857i | 0.116666 | + | 0.134640i | ||||
\(497\) | −21.5212 | + | 6.31921i | −0.965360 | + | 0.283455i | ||||
\(498\) | 2.16968 | − | 15.0904i | 0.0972256 | − | 0.676219i | ||||
\(499\) | 23.8043 | − | 27.4716i | 1.06563 | − | 1.22980i | 0.0934322 | − | 0.995626i | \(-0.470216\pi\) |
0.972195 | − | 0.234173i | \(-0.0752384\pi\) | |||||||
\(500\) | −0.415415 | + | 0.909632i | −0.0185779 | + | 0.0406800i | ||||
\(501\) | −15.5926 | − | 4.57839i | −0.696624 | − | 0.204547i | ||||
\(502\) | 1.78162 | + | 3.90121i | 0.0795176 | + | 0.174119i | ||||
\(503\) | 1.24830 | + | 8.68212i | 0.0556590 | + | 0.387117i | 0.998541 | + | 0.0539910i | \(0.0171942\pi\) |
−0.942882 | + | 0.333126i | \(0.891897\pi\) | |||||||
\(504\) | 3.78577 | + | 2.43297i | 0.168632 | + | 0.108373i | ||||
\(505\) | 4.37798 | 0.194818 | ||||||||
\(506\) | −4.91587 | + | 17.3287i | −0.218537 | + | 0.770356i | ||||
\(507\) | 35.4199 | 1.57305 | ||||||||
\(508\) | −11.1862 | − | 7.18893i | −0.496307 | − | 0.318957i | ||||
\(509\) | 0.746880 | + | 5.19467i | 0.0331049 | + | 0.230250i | 0.999656 | − | 0.0262242i | \(-0.00834838\pi\) |
−0.966551 | + | 0.256474i | \(0.917439\pi\) | |||||||
\(510\) | −2.91086 | − | 6.37389i | −0.128895 | − | 0.282240i | ||||
\(511\) | −26.9252 | − | 7.90595i | −1.19110 | − | 0.349739i | ||||
\(512\) | −0.415415 | + | 0.909632i | −0.0183589 | + | 0.0402004i | ||||
\(513\) | 1.56124 | − | 1.80177i | 0.0689304 | − | 0.0795500i | ||||
\(514\) | 2.78490 | − | 19.3694i | 0.122837 | − | 0.854347i | ||||
\(515\) | 0.112964 | − | 0.0331694i | 0.00497781 | − | 0.00146162i | ||||
\(516\) | 5.80364 | + | 6.69776i | 0.255491 | + | 0.294852i | ||||
\(517\) | −12.8747 | + | 8.27409i | −0.566230 | + | 0.363894i | ||||
\(518\) | −28.4562 | + | 18.2877i | −1.25030 | + | 0.803516i | ||||
\(519\) | −1.11522 | − | 1.28703i | −0.0489528 | − | 0.0564945i | ||||
\(520\) | 6.67657 | − | 1.96042i | 0.292787 | − | 0.0859701i | ||||
\(521\) | 3.31202 | − | 23.0356i | 0.145102 | − | 1.00921i | −0.778989 | − | 0.627038i | \(-0.784267\pi\) |
0.924091 | − | 0.382172i | \(-0.124824\pi\) | |||||||
\(522\) | −3.27740 | + | 3.78232i | −0.143448 | + | 0.165548i | ||||
\(523\) | −17.4732 | + | 38.2610i | −0.764051 | + | 1.67304i | −0.0247216 | + | 0.999694i | \(0.507870\pi\) |
−0.739329 | + | 0.673344i | \(0.764857\pi\) | |||||||
\(524\) | 7.30847 | + | 2.14596i | 0.319272 | + | 0.0937467i | ||||
\(525\) | −1.86943 | − | 4.09349i | −0.0815888 | − | 0.178654i | ||||
\(526\) | −2.58021 | − | 17.9457i | −0.112502 | − | 0.782471i | ||||
\(527\) | 23.3885 | + | 15.0309i | 1.01882 | + | 0.654755i | ||||
\(528\) | 3.75587 | 0.163453 | ||||||||
\(529\) | −19.5738 | − | 12.0775i | −0.851035 | − | 0.525108i | ||||
\(530\) | −3.92085 | −0.170311 | ||||||||
\(531\) | 9.16931 | + | 5.89276i | 0.397914 | + | 0.255724i | ||||
\(532\) | −1.52686 | − | 10.6195i | −0.0661977 | − | 0.460415i | ||||
\(533\) | −6.36655 | − | 13.9408i | −0.275766 | − | 0.603843i | ||||
\(534\) | −12.3758 | − | 3.63385i | −0.535552 | − | 0.157252i | ||||
\(535\) | −4.32212 | + | 9.46411i | −0.186861 | + | 0.409169i | ||||
\(536\) | 0.674297 | − | 0.778180i | 0.0291252 | − | 0.0336123i | ||||
\(537\) | −1.86022 | + | 12.9381i | −0.0802746 | + | 0.558322i | ||||
\(538\) | −7.68380 | + | 2.25617i | −0.331272 | + | 0.0972702i | ||||
\(539\) | −32.5928 | − | 37.6141i | −1.40387 | − | 1.62015i | ||||
\(540\) | −0.841254 | + | 0.540641i | −0.0362018 | + | 0.0232655i | ||||
\(541\) | −15.5404 | + | 9.98719i | −0.668133 | + | 0.429383i | −0.830252 | − | 0.557388i | \(-0.811803\pi\) |
0.162119 | + | 0.986771i | \(0.448167\pi\) | |||||||
\(542\) | 17.3239 | + | 19.9929i | 0.744126 | + | 0.858767i | ||||
\(543\) | −19.0520 | + | 5.59417i | −0.817599 | + | 0.240069i | ||||
\(544\) | −0.997215 | + | 6.93578i | −0.0427552 | + | 0.297369i | ||||
\(545\) | −13.1683 | + | 15.1970i | −0.564068 | + | 0.650969i | ||||
\(546\) | −13.0083 | + | 28.4843i | −0.556706 | + | 1.21902i | ||||
\(547\) | −17.4482 | − | 5.12325i | −0.746031 | − | 0.219054i | −0.113445 | − | 0.993544i | \(-0.536188\pi\) |
−0.632586 | + | 0.774490i | \(0.718007\pi\) | |||||||
\(548\) | 0.189908 | + | 0.415840i | 0.00811245 | + | 0.0177638i | ||||
\(549\) | 1.89566 | + | 13.1846i | 0.0809046 | + | 0.562704i | ||||
\(550\) | −3.15964 | − | 2.03058i | −0.134727 | − | 0.0865840i | ||||
\(551\) | 11.9317 | 0.508306 | ||||||||
\(552\) | −1.30885 | + | 4.61377i | −0.0557084 | + | 0.196375i | ||||
\(553\) | −17.9114 | −0.761669 | ||||||||
\(554\) | 2.32243 | + | 1.49253i | 0.0986705 | + | 0.0634117i | ||||
\(555\) | −1.06973 | − | 7.44012i | −0.0454074 | − | 0.315815i | ||||
\(556\) | −1.48127 | − | 3.24354i | −0.0628200 | − | 0.137557i | ||||
\(557\) | −22.4784 | − | 6.60026i | −0.952441 | − | 0.279662i | −0.231638 | − | 0.972802i | \(-0.574409\pi\) |
−0.720803 | + | 0.693140i | \(0.756227\pi\) | |||||||
\(558\) | 1.64823 | − | 3.60913i | 0.0697753 | − | 0.152787i | ||||
\(559\) | −40.3843 | + | 46.6060i | −1.70807 | + | 1.97122i | ||||
\(560\) | −0.640439 | + | 4.45435i | −0.0270635 | + | 0.188231i | ||||
\(561\) | 25.2517 | − | 7.41457i | 1.06613 | − | 0.313043i | ||||
\(562\) | −18.5602 | − | 21.4196i | −0.782914 | − | 0.903531i | ||||
\(563\) | 34.7450 | − | 22.3293i | 1.46433 | − | 0.941067i | 0.465911 | − | 0.884832i | \(-0.345727\pi\) |
0.998418 | − | 0.0562351i | \(-0.0179096\pi\) | |||||||
\(564\) | −3.42790 | + | 2.20298i | −0.144341 | + | 0.0927621i | ||||
\(565\) | −5.06626 | − | 5.84678i | −0.213139 | − | 0.245976i | ||||
\(566\) | −19.8896 | + | 5.84013i | −0.836024 | + | 0.245479i | ||||
\(567\) | 0.640439 | − | 4.45435i | 0.0268959 | − | 0.187065i | ||||
\(568\) | −3.26398 | + | 3.76683i | −0.136953 | + | 0.158053i | ||||
\(569\) | 18.9572 | − | 41.5106i | 0.794729 | − | 1.74021i | 0.132140 | − | 0.991231i | \(-0.457815\pi\) |
0.662589 | − | 0.748983i | \(-0.269458\pi\) | |||||||
\(570\) | 2.28751 | + | 0.671673i | 0.0958132 | + | 0.0281333i | ||||
\(571\) | 13.2347 | + | 28.9800i | 0.553856 | + | 1.21278i | 0.954957 | + | 0.296743i | \(0.0959004\pi\) |
−0.401101 | + | 0.916034i | \(0.631372\pi\) | |||||||
\(572\) | 3.71940 | + | 25.8690i | 0.155516 | + | 1.08164i | ||||
\(573\) | −5.49709 | − | 3.53277i | −0.229644 | − | 0.147583i | ||||
\(574\) | 9.91147 | 0.413697 | ||||||||
\(575\) | 3.59547 | − | 3.17373i | 0.149941 | − | 0.132354i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 16.3426 | + | 10.5027i | 0.680350 | + | 0.437234i | 0.834643 | − | 0.550791i | \(-0.185674\pi\) |
−0.154294 | + | 0.988025i | \(0.549310\pi\) | |||||||
\(578\) | 4.56824 | + | 31.7728i | 0.190014 | + | 1.32157i | ||||
\(579\) | 1.53753 | + | 3.36672i | 0.0638975 | + | 0.139916i | ||||
\(580\) | −4.80200 | − | 1.41000i | −0.199392 | − | 0.0585469i | ||||
\(581\) | −28.5007 | + | 62.4078i | −1.18241 | + | 2.58911i | ||||
\(582\) | −4.26947 | + | 4.92723i | −0.176975 | + | 0.204240i | ||||
\(583\) | 2.09575 | − | 14.5763i | 0.0867972 | − | 0.603688i | ||||
\(584\) | −5.98317 | + | 1.75682i | −0.247585 | + | 0.0726976i | ||||
\(585\) | −4.55681 | − | 5.25884i | −0.188401 | − | 0.217426i | ||||
\(586\) | −7.74658 | + | 4.97842i | −0.320008 | + | 0.205657i | ||||
\(587\) | −5.06170 | + | 3.25296i | −0.208919 | + | 0.134264i | −0.640916 | − | 0.767611i | \(-0.721445\pi\) |
0.431997 | + | 0.901875i | \(0.357809\pi\) | |||||||
\(588\) | −8.67784 | − | 10.0148i | −0.357868 | − | 0.413002i | ||||
\(589\) | −9.07610 | + | 2.66498i | −0.373974 | + | 0.109809i | ||||
\(590\) | −1.55117 | + | 10.7886i | −0.0638608 | + | 0.444161i | ||||
\(591\) | 8.30675 | − | 9.58650i | 0.341694 | − | 0.394336i | ||||
\(592\) | −3.12252 | + | 6.83736i | −0.128335 | + | 0.281014i | ||||
\(593\) | −10.2187 | − | 3.00048i | −0.419631 | − | 0.123215i | 0.0650985 | − | 0.997879i | \(-0.479264\pi\) |
−0.484730 | + | 0.874664i | \(0.661082\pi\) | |||||||
\(594\) | −1.56024 | − | 3.41646i | −0.0640176 | − | 0.140179i | ||||
\(595\) | 4.48763 | + | 31.2121i | 0.183975 | + | 1.27957i | ||||
\(596\) | 3.18680 | + | 2.04803i | 0.130537 | + | 0.0838907i | ||||
\(597\) | 5.14286 | 0.210483 | ||||||||
\(598\) | −33.0740 | − | 4.44589i | −1.35250 | − | 0.181806i | ||||
\(599\) | 18.2925 | 0.747411 | 0.373705 | − | 0.927547i | \(-0.378087\pi\) | ||||
0.373705 | + | 0.927547i | \(0.378087\pi\) | |||||||
\(600\) | −0.841254 | − | 0.540641i | −0.0343440 | − | 0.0220716i | ||||
\(601\) | 1.18991 | + | 8.27598i | 0.0485373 | + | 0.337584i | 0.999592 | + | 0.0285617i | \(0.00909272\pi\) |
−0.951055 | + | 0.309022i | \(0.899998\pi\) | |||||||
\(602\) | −16.5677 | − | 36.2781i | −0.675248 | − | 1.47859i | ||||
\(603\) | −0.987970 | − | 0.290094i | −0.0402333 | − | 0.0118136i | ||||
\(604\) | −5.19799 | + | 11.3820i | −0.211503 | + | 0.463127i | ||||
\(605\) | 2.03435 | − | 2.34777i | 0.0827081 | − | 0.0954503i | ||||
\(606\) | −0.623052 | + | 4.33342i | −0.0253097 | + | 0.176033i | ||||
\(607\) | 15.9623 | − | 4.68697i | 0.647891 | − | 0.190238i | 0.0587560 | − | 0.998272i | \(-0.481287\pi\) |
0.589135 | + | 0.808034i | \(0.299468\pi\) | |||||||
\(608\) | −1.56124 | − | 1.80177i | −0.0633167 | − | 0.0730713i | ||||
\(609\) | 18.9468 | − | 12.1764i | 0.767762 | − | 0.493411i | ||||
\(610\) | −11.2056 | + | 7.20142i | −0.453703 | + | 0.291577i | ||||
\(611\) | −18.5679 | − | 21.4285i | −0.751176 | − | 0.866903i | ||||
\(612\) | 6.72327 | − | 1.97413i | 0.271772 | − | 0.0797995i | ||||
\(613\) | −1.64374 | + | 11.4325i | −0.0663900 | + | 0.461752i | 0.929324 | + | 0.369266i | \(0.120391\pi\) |
−0.995714 | + | 0.0924869i | \(0.970518\pi\) | |||||||
\(614\) | 6.14177 | − | 7.08798i | 0.247862 | − | 0.286048i | ||||
\(615\) | −0.914940 | + | 2.00344i | −0.0368939 | + | 0.0807864i | ||||
\(616\) | −16.2173 | − | 4.76184i | −0.653416 | − | 0.191860i | ||||
\(617\) | 5.31964 | + | 11.6484i | 0.214161 | + | 0.468947i | 0.985973 | − | 0.166904i | \(-0.0533768\pi\) |
−0.771812 | + | 0.635850i | \(0.780650\pi\) | |||||||
\(618\) | 0.0167552 | + | 0.116535i | 0.000673994 | + | 0.00468773i | ||||
\(619\) | 8.13572 | + | 5.22851i | 0.327002 | + | 0.210152i | 0.693833 | − | 0.720136i | \(-0.255921\pi\) |
−0.366830 | + | 0.930288i | \(0.619557\pi\) | |||||||
\(620\) | 3.96768 | 0.159346 | ||||||||
\(621\) | 4.74055 | − | 0.726057i | 0.190232 | − | 0.0291357i | ||||
\(622\) | 8.32063 | 0.333627 | ||||||||
\(623\) | 48.8298 | + | 31.3810i | 1.95633 | + | 1.25725i | ||||
\(624\) | 0.990289 | + | 6.88761i | 0.0396433 | + | 0.275725i | ||||
\(625\) | 0.415415 | + | 0.909632i | 0.0166166 | + | 0.0363853i | ||||
\(626\) | 19.6564 | + | 5.77163i | 0.785627 | + | 0.230681i | ||||
\(627\) | −3.71975 | + | 8.14511i | −0.148552 | + | 0.325284i | ||||
\(628\) | −2.89051 | + | 3.33583i | −0.115344 | + | 0.133114i | ||||
\(629\) | −7.49569 | + | 52.1337i | −0.298873 | + | 2.07871i | ||||
\(630\) | 4.31787 | − | 1.26784i | 0.172028 | − | 0.0505120i | ||||
\(631\) | 11.8139 | + | 13.6339i | 0.470303 | + | 0.542758i | 0.940496 | − | 0.339805i | \(-0.110361\pi\) |
−0.470193 | + | 0.882564i | \(0.655816\pi\) | |||||||
\(632\) | −3.34833 | + | 2.15184i | −0.133189 | + | 0.0855956i | ||||
\(633\) | 1.90777 | − | 1.22605i | 0.0758271 | − | 0.0487311i | ||||
\(634\) | −19.7479 | − | 22.7903i | −0.784290 | − | 0.905119i | ||||
\(635\) | −12.7584 | + | 3.74622i | −0.506303 | + | 0.148664i | ||||
\(636\) | 0.557995 | − | 3.88094i | 0.0221259 | − | 0.153889i | ||||
\(637\) | 60.3842 | − | 69.6871i | 2.39251 | − | 2.76110i | ||||
\(638\) | 7.80860 | − | 17.0984i | 0.309145 | − | 0.676934i | ||||
\(639\) | 4.78233 | + | 1.40422i | 0.189186 | + | 0.0555501i | ||||
\(640\) | 0.415415 | + | 0.909632i | 0.0164207 | + | 0.0359564i | ||||
\(641\) | 6.03028 | + | 41.9415i | 0.238182 | + | 1.65659i | 0.661008 | + | 0.750379i | \(0.270129\pi\) |
−0.422826 | + | 0.906211i | \(0.638962\pi\) | |||||||
\(642\) | −8.75268 | − | 5.62501i | −0.345441 | − | 0.222001i | ||||
\(643\) | −10.4846 | −0.413471 | −0.206735 | − | 0.978397i | \(-0.566284\pi\) | ||||
−0.206735 | + | 0.978397i | \(0.566284\pi\) | |||||||
\(644\) | 11.5010 | − | 18.2623i | 0.453202 | − | 0.719634i | ||||
\(645\) | 8.86240 | 0.348957 | ||||||||
\(646\) | −14.0536 | − | 9.03168i | −0.552930 | − | 0.355347i | ||||
\(647\) | 3.25231 | + | 22.6203i | 0.127862 | + | 0.889297i | 0.948258 | + | 0.317502i | \(0.102844\pi\) |
−0.820396 | + | 0.571796i | \(0.806247\pi\) | |||||||
\(648\) | −0.415415 | − | 0.909632i | −0.0163190 | − | 0.0357337i | ||||
\(649\) | −39.2791 | − | 11.5334i | −1.54184 | − | 0.452725i | ||||
\(650\) | 2.89064 | − | 6.32962i | 0.113380 | − | 0.248268i | ||||
\(651\) | −11.6927 | + | 13.4940i | −0.458271 | + | 0.528873i | ||||
\(652\) | −0.800268 | + | 5.56599i | −0.0313409 | + | 0.217981i | ||||
\(653\) | 8.01077 | − | 2.35218i | 0.313486 | − | 0.0920477i | −0.121205 | − | 0.992627i | \(-0.538676\pi\) |
0.434691 | + | 0.900580i | \(0.356858\pi\) | |||||||
\(654\) | −13.1683 | − | 15.1970i | −0.514921 | − | 0.594251i | ||||
\(655\) | 6.40784 | − | 4.11807i | 0.250375 | − | 0.160906i | ||||
\(656\) | 1.85284 | − | 1.19075i | 0.0723411 | − | 0.0464908i | ||||
\(657\) | 4.08355 | + | 4.71267i | 0.159315 | + | 0.183859i | ||||
\(658\) | 17.5942 | − | 5.16614i | 0.685895 | − | 0.201397i | ||||
\(659\) | −1.53180 | + | 10.6539i | −0.0596705 | + | 0.415018i | 0.937990 | + | 0.346661i | \(0.112685\pi\) |
−0.997661 | + | 0.0683565i | \(0.978224\pi\) | |||||||
\(660\) | 2.45957 | − | 2.83850i | 0.0957386 | − | 0.110488i | ||||
\(661\) | −6.03448 | + | 13.2137i | −0.234714 | + | 0.513953i | −0.989936 | − | 0.141517i | \(-0.954802\pi\) |
0.755222 | + | 0.655470i | \(0.227529\pi\) | |||||||
\(662\) | 20.1419 | + | 5.91420i | 0.782838 | + | 0.229862i | ||||
\(663\) | 20.2550 | + | 44.3523i | 0.786640 | + | 1.72250i | ||||
\(664\) | 2.16968 | + | 15.0904i | 0.0841999 | + | 0.585623i | ||||
\(665\) | −9.02559 | − | 5.80039i | −0.349997 | − | 0.224930i | ||||
\(666\) | 7.51662 | 0.291263 | ||||||||
\(667\) | 18.2829 | + | 15.5507i | 0.707916 | + | 0.602126i | ||||
\(668\) | 16.2508 | 0.628763 | ||||||||
\(669\) | 10.3447 | + | 6.64813i | 0.399949 | + | 0.257032i | ||||
\(670\) | −0.146539 | − | 1.01920i | −0.00566128 | − | 0.0393751i | ||||
\(671\) | −20.7827 | − | 45.5077i | −0.802307 | − | 1.75681i | ||||
\(672\) | −4.31787 | − | 1.26784i | −0.166565 | − | 0.0489080i | ||||
\(673\) | 8.40678 | − | 18.4083i | 0.324057 | − | 0.709587i | −0.675558 | − | 0.737307i | \(-0.736097\pi\) |
0.999616 | + | 0.0277198i | \(0.00882461\pi\) | |||||||
\(674\) | −22.1837 | + | 25.6014i | −0.854486 | + | 0.986129i | ||||
\(675\) | −0.142315 | + | 0.989821i | −0.00547770 | + | 0.0380982i | ||||
\(676\) | −33.9851 | + | 9.97894i | −1.30712 | + | 0.383805i | ||||
\(677\) | 1.14274 | + | 1.31879i | 0.0439191 | + | 0.0506853i | 0.777284 | − | 0.629150i | \(-0.216597\pi\) |
−0.733365 | + | 0.679835i | \(0.762051\pi\) | |||||||
\(678\) | 6.50827 | − | 4.18261i | 0.249949 | − | 0.160632i | ||||
\(679\) | 24.6819 | − | 15.8621i | 0.947206 | − | 0.608732i | ||||
\(680\) | 4.58868 | + | 5.29562i | 0.175968 | + | 0.203078i | ||||
\(681\) | 3.92037 | − | 1.15113i | 0.150229 | − | 0.0441112i | ||||
\(682\) | −2.12079 | + | 14.7504i | −0.0812091 | + | 0.564822i | ||||
\(683\) | 31.6833 | − | 36.5644i | 1.21233 | − | 1.39910i | 0.320178 | − | 0.947357i | \(-0.396257\pi\) |
0.892148 | − | 0.451742i | \(-0.149197\pi\) | |||||||
\(684\) | −0.990383 | + | 2.16864i | −0.0378682 | + | 0.0829199i | ||||
\(685\) | 0.438634 | + | 0.128794i | 0.0167593 | + | 0.00492098i | ||||
\(686\) | 11.6866 | + | 25.5901i | 0.446197 | + | 0.977035i | ||||
\(687\) | 1.72774 | + | 12.0167i | 0.0659175 | + | 0.458466i | ||||
\(688\) | −7.45553 | − | 4.79138i | −0.284239 | − | 0.182670i | ||||
\(689\) | 27.2830 | 1.03940 | ||||||||
\(690\) | 2.62974 | + | 4.01054i | 0.100113 | + | 0.152679i | ||||
\(691\) | 4.72484 | 0.179742 | 0.0898708 | − | 0.995953i | \(-0.471355\pi\) | ||||
0.0898708 | + | 0.995953i | \(0.471355\pi\) | |||||||
\(692\) | 1.43265 | + | 0.920706i | 0.0544610 | + | 0.0350000i | ||||
\(693\) | 2.40540 | + | 16.7300i | 0.0913738 | + | 0.635519i | ||||
\(694\) | 3.61318 | + | 7.91176i | 0.137154 | + | 0.300326i | ||||
\(695\) | −3.42133 | − | 1.00459i | −0.129778 | − | 0.0381064i | ||||
\(696\) | 2.07904 | − | 4.55246i | 0.0788058 | − | 0.172561i | ||||
\(697\) | 10.1064 | − | 11.6634i | 0.382808 | − | 0.441784i | ||||
\(698\) | −1.30588 | + | 9.08259i | −0.0494282 | + | 0.343781i | ||||
\(699\) | 17.8882 | − | 5.25244i | 0.676593 | − | 0.198666i | ||||
\(700\) | 2.94698 | + | 3.40099i | 0.111385 | + | 0.128545i | ||||
\(701\) | −34.1016 | + | 21.9157i | −1.28800 | + | 0.827746i | −0.991852 | − | 0.127396i | \(-0.959338\pi\) |
−0.296146 | + | 0.955143i | \(0.595702\pi\) | |||||||
\(702\) | 5.85381 | − | 3.76202i | 0.220938 | − | 0.141988i | ||||
\(703\) | −11.7353 | − | 13.5432i | −0.442604 | − | 0.510792i | ||||
\(704\) | −3.60373 | + | 1.05815i | −0.135821 | + | 0.0398805i | ||||
\(705\) | −0.579898 | + | 4.03328i | −0.0218402 | + | 0.151902i | ||||
\(706\) | 2.52046 | − | 2.90877i | 0.0948589 | − | 0.109473i | ||||
\(707\) | 8.18434 | − | 17.9212i | 0.307804 | − | 0.673996i | ||||
\(708\) | −10.4581 | − | 3.07077i | −0.393039 | − | 0.115407i | ||||
\(709\) | −14.0992 | − | 30.8729i | −0.529505 | − | 1.15945i | −0.965714 | − | 0.259609i | \(-0.916406\pi\) |
0.436208 | − | 0.899846i | \(-0.356321\pi\) | |||||||
\(710\) | 0.709330 | + | 4.93350i | 0.0266207 | + | 0.185151i | ||||
\(711\) | 3.34833 | + | 2.15184i | 0.125572 | + | 0.0807003i | ||||
\(712\) | 12.8982 | 0.483382 | ||||||||
\(713\) | −17.3806 | − | 7.74546i | −0.650908 | − | 0.290070i | ||||
\(714\) | −31.5331 | −1.18010 | ||||||||
\(715\) | 21.9861 | + | 14.1296i | 0.822235 | + | 0.528418i | ||||
\(716\) | −1.86022 | − | 12.9381i | −0.0695198 | − | 0.483521i | ||||
\(717\) | 0.950518 | + | 2.08135i | 0.0354978 | + | 0.0777293i | ||||
\(718\) | 12.0921 | + | 3.55056i | 0.451273 | + | 0.132506i | ||||
\(719\) | −3.66978 | + | 8.03570i | −0.136860 | + | 0.299681i | −0.965636 | − | 0.259900i | \(-0.916310\pi\) |
0.828776 | + | 0.559581i | \(0.189038\pi\) | |||||||
\(720\) | 0.654861 | − | 0.755750i | 0.0244052 | − | 0.0281651i | ||||
\(721\) | 0.0754011 | − | 0.524426i | 0.00280809 | − | 0.0195307i | ||||
\(722\) | −12.7768 | + | 3.75160i | −0.475502 | + | 0.139620i | ||||
\(723\) | 8.58912 | + | 9.91237i | 0.319433 | + | 0.368645i | ||||
\(724\) | 16.7042 | − | 10.7351i | 0.620806 | − | 0.398968i | ||||
\(725\) | −4.21025 | + | 2.70576i | −0.156365 | + | 0.100489i | ||||
\(726\) | 2.03435 | + | 2.34777i | 0.0755019 | + | 0.0871338i | ||||
\(727\) | −25.6959 | + | 7.54500i | −0.953009 | + | 0.279829i | −0.721039 | − | 0.692894i | \(-0.756335\pi\) |
−0.231970 | + | 0.972723i | \(0.574517\pi\) | |||||||
\(728\) | 4.45646 | − | 30.9953i | 0.165167 | − | 1.14876i | ||||
\(729\) | −0.654861 | + | 0.755750i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | −2.59043 | + | 5.67225i | −0.0958760 | + | 0.209939i | ||||
\(731\) | −59.5843 | − | 17.4955i | −2.20381 | − | 0.647096i | ||||
\(732\) | −5.53339 | − | 12.1164i | −0.204520 | − | 0.447837i | ||||
\(733\) | −5.35920 | − | 37.2740i | −0.197946 | − | 1.37675i | −0.810231 | − | 0.586110i | \(-0.800658\pi\) |
0.612285 | − | 0.790637i | \(-0.290251\pi\) | |||||||
\(734\) | 7.60554 | + | 4.88778i | 0.280726 | + | 0.180411i | ||||
\(735\) | −13.2514 | −0.488786 | ||||||||
\(736\) | −0.0440162 | − | 4.79563i | −0.00162246 | − | 0.176769i | ||||
\(737\) | 3.86734 | 0.142455 | ||||||||
\(738\) | −1.85284 | − | 1.19075i | −0.0682039 | − | 0.0438320i | ||||
\(739\) | −7.18194 | − | 49.9515i | −0.264192 | − | 1.83750i | −0.500402 | − | 0.865793i | \(-0.666814\pi\) |
0.236210 | − | 0.971702i | \(-0.424095\pi\) | |||||||
\(740\) | 3.12252 | + | 6.83736i | 0.114786 | + | 0.251346i | ||||
\(741\) | −15.9175 | − | 4.67380i | −0.584744 | − | 0.171696i | ||||
\(742\) | −7.32976 | + | 16.0499i | −0.269084 | + | 0.589212i | ||||
\(743\) | −16.5935 | + | 19.1499i | −0.608757 | + | 0.702543i | −0.973531 | − | 0.228553i | \(-0.926601\pi\) |
0.364775 | + | 0.931096i | \(0.381146\pi\) | |||||||
\(744\) | −0.564660 | + | 3.92729i | −0.0207014 | + | 0.143982i | ||||
\(745\) | 3.63471 | − | 1.06725i | 0.133166 | − | 0.0391009i | ||||
\(746\) | −15.4601 | − | 17.8419i | −0.566034 | − | 0.653238i | ||||
\(747\) | 12.8254 | − | 8.24241i | 0.469258 | − | 0.301574i | ||||
\(748\) | −22.1399 | + | 14.2285i | −0.809515 | + | 0.520244i | ||||
\(749\) | 30.6613 | + | 35.3851i | 1.12034 | + | 1.29294i | ||||
\(750\) | −0.959493 | + | 0.281733i | −0.0350357 | + | 0.0102874i | ||||
\(751\) | −3.23661 | + | 22.5111i | −0.118106 | + | 0.821442i | 0.841533 | + | 0.540206i | \(0.181654\pi\) |
−0.959638 | + | 0.281237i | \(0.909255\pi\) | |||||||
\(752\) | 2.66840 | − | 3.07949i | 0.0973064 | − | 0.112298i | ||||
\(753\) | −1.78162 | + | 3.90121i | −0.0649259 | + | 0.142168i | ||||
\(754\) | 33.4144 | + | 9.81137i | 1.21688 | + | 0.357309i | ||||
\(755\) | 5.19799 | + | 11.3820i | 0.189174 | + | 0.414233i | ||||
\(756\) | 0.640439 | + | 4.45435i | 0.0232926 | + | 0.162003i | ||||
\(757\) | 23.9947 | + | 15.4204i | 0.872102 | + | 0.560466i | 0.898395 | − | 0.439189i | \(-0.144734\pi\) |
−0.0262932 | + | 0.999654i | \(0.508370\pi\) | |||||||
\(758\) | 29.4186 | 1.06853 | ||||||||
\(759\) | −16.3154 | + | 7.63273i | −0.592211 | + | 0.277051i | ||||
\(760\) | −2.38408 | −0.0864797 | ||||||||
\(761\) | −34.6233 | − | 22.2511i | −1.25509 | − | 0.806600i | −0.267490 | − | 0.963561i | \(-0.586194\pi\) |
−0.987605 | + | 0.156961i | \(0.949830\pi\) | |||||||
\(762\) | −1.89237 | − | 13.1617i | −0.0685533 | − | 0.476799i | ||||
\(763\) | 37.5916 | + | 82.3141i | 1.36091 | + | 2.97997i | ||||
\(764\) | 6.26972 | + | 1.84095i | 0.226830 | + | 0.0666034i | ||||
\(765\) | 2.91086 | − | 6.37389i | 0.105242 | − | 0.230448i | ||||
\(766\) | 8.79660 | − | 10.1518i | 0.317834 | − | 0.366800i | ||||
\(767\) | 10.7937 | − | 75.0721i | 0.389739 | − | 2.71070i | ||||
\(768\) | −0.959493 | + | 0.281733i | −0.0346227 | + | 0.0101661i | ||||
\(769\) | 3.46075 | + | 3.99392i | 0.124798 | + | 0.144024i | 0.814710 | − | 0.579869i | \(-0.196896\pi\) |
−0.689912 | + | 0.723893i | \(0.742351\pi\) | |||||||
\(770\) | −14.2189 | + | 9.13791i | −0.512412 | + | 0.329307i | ||||
\(771\) | 16.4621 | − | 10.5796i | 0.592869 | − | 0.381014i | ||||
\(772\) | −2.42376 | − | 2.79717i | −0.0872331 | − | 0.100672i | ||||
\(773\) | −12.9377 | + | 3.79884i | −0.465336 | + | 0.136635i | −0.505992 | − | 0.862538i | \(-0.668873\pi\) |
0.0406559 | + | 0.999173i | \(0.487055\pi\) | |||||||
\(774\) | −1.26125 | + | 8.77220i | −0.0453348 | + | 0.315310i | ||||
\(775\) | 2.59828 | − | 2.99857i | 0.0933329 | − | 0.107712i | ||||
\(776\) | 2.70836 | − | 5.93049i | 0.0972246 | − | 0.212892i | ||||
\(777\) | −32.4558 | − | 9.52988i | −1.16435 | − | 0.341883i | ||||
\(778\) | 7.26516 | + | 15.9085i | 0.260469 | + | 0.570347i | ||||
\(779\) | 0.747276 | + | 5.19742i | 0.0267740 | + | 0.186217i | ||||
\(780\) | 5.85381 | + | 3.76202i | 0.209600 | + | 0.134702i | ||||
\(781\) | −18.7201 | −0.669858 | ||||||||
\(782\) | −9.76313 | − | 32.1554i | −0.349129 | − | 1.14988i | ||||
\(783\) | −5.00473 | −0.178854 | ||||||||
\(784\) | 11.1478 | + | 7.16426i | 0.398136 | + | 0.255866i | ||||
\(785\) | 0.628168 | + | 4.36900i | 0.0224203 | + | 0.155936i | ||||
\(786\) | 3.16422 | + | 6.92868i | 0.112864 | + | 0.247138i | ||||
\(787\) | −15.4100 | − | 4.52478i | −0.549306 | − | 0.161291i | −0.00470960 | − | 0.999989i | \(-0.501499\pi\) |
−0.544597 | + | 0.838698i | \(0.683317\pi\) | |||||||
\(788\) | −5.26944 | + | 11.5385i | −0.187716 | + | 0.411041i | ||||
\(789\) | 11.8728 | − | 13.7019i | 0.422683 | − | 0.487802i | ||||
\(790\) | −0.566437 | + | 3.93965i | −0.0201529 | + | 0.140167i | ||||
\(791\) | −33.4047 | + | 9.80852i | −1.18774 | + | 0.348751i | ||||
\(792\) | 2.45957 | + | 2.83850i | 0.0873970 | + | 0.100862i | ||||
\(793\) | 77.9737 | − | 50.1107i | 2.76893 | − | 1.77948i | ||||
\(794\) | −16.4436 | + | 10.5677i | −0.583561 | + | 0.375032i | ||||
\(795\) | −2.56761 | − | 2.96318i | −0.0910637 | − | 0.105093i | ||||
\(796\) | −4.93453 | + | 1.44891i | −0.174900 | + | 0.0513553i | ||||
\(797\) | 4.70548 | − | 32.7274i | 0.166677 | − | 1.15926i | −0.719017 | − | 0.694993i | \(-0.755408\pi\) |
0.885694 | − | 0.464270i | \(-0.153683\pi\) | |||||||
\(798\) | 7.02583 | − | 8.10824i | 0.248712 | − | 0.287029i | ||||
\(799\) | 11.8610 | − | 25.9720i | 0.419613 | − | 0.918824i | ||||
\(800\) | 0.959493 | + | 0.281733i | 0.0339232 | + | 0.00996075i | ||||
\(801\) | −5.35812 | − | 11.7327i | −0.189320 | − | 0.414553i | ||||
\(802\) | −2.93516 | − | 20.4145i | −0.103644 | − | 0.720861i | ||||
\(803\) | −19.7027 | − | 12.6622i | −0.695294 | − | 0.446838i | ||||
\(804\) | 1.02968 | 0.0363140 | ||||||||
\(805\) | −6.27015 | − | 20.6511i | −0.220994 | − | 0.727856i | ||||
\(806\) | −27.6089 | −0.972481 | ||||||||
\(807\) | −6.73691 | − | 4.32955i | −0.237151 | − | 0.152407i | ||||
\(808\) | −0.623052 | − | 4.33342i | −0.0219189 | − | 0.152449i | ||||
\(809\) | −7.46690 | − | 16.3502i | −0.262522 | − | 0.574843i | 0.731768 | − | 0.681554i | \(-0.238695\pi\) |
−0.994290 | + | 0.106710i | \(0.965968\pi\) | |||||||
\(810\) | −0.959493 | − | 0.281733i | −0.0337131 | − | 0.00989907i | ||||
\(811\) | −4.34586 | + | 9.51610i | −0.152604 | + | 0.334155i | −0.970458 | − | 0.241270i | \(-0.922436\pi\) |
0.817854 | + | 0.575425i | \(0.195163\pi\) | |||||||
\(812\) | −14.7488 | + | 17.0210i | −0.517582 | + | 0.597322i | ||||
\(813\) | −3.76485 | + | 26.1851i | −0.132039 | + | 0.918351i | ||||
\(814\) | −27.0879 | + | 7.95372i | −0.949429 | + | 0.278778i | ||||
\(815\) | 3.68243 | + | 4.24975i | 0.128990 | + | 0.148862i | ||||
\(816\) | −5.89475 | + | 3.78833i | −0.206358 | + | 0.132618i | ||||
\(817\) | 17.7746 | − | 11.4230i | 0.621854 | − | 0.399641i | ||||
\(818\) | 4.58672 | + | 5.29336i | 0.160371 | + | 0.185078i | ||||
\(819\) | −30.0456 | + | 8.82220i | −1.04988 | + | 0.308272i | ||||
\(820\) | 0.313444 | − | 2.18005i | 0.0109459 | − | 0.0761308i | ||||
\(821\) | −12.8797 | + | 14.8639i | −0.449504 | + | 0.518755i | −0.934597 | − | 0.355707i | \(-0.884240\pi\) |
0.485094 | + | 0.874462i | \(0.338785\pi\) | |||||||
\(822\) | −0.189908 | + | 0.415840i | −0.00662379 | + | 0.0145041i | ||||
\(823\) | −35.7243 | − | 10.4896i | −1.24527 | − | 0.365644i | −0.408277 | − | 0.912858i | \(-0.633870\pi\) |
−0.836993 | + | 0.547214i | \(0.815688\pi\) | |||||||
\(824\) | −0.0489083 | − | 0.107094i | −0.00170380 | − | 0.00373080i | ||||
\(825\) | −0.534516 | − | 3.71764i | −0.0186094 | − | 0.129432i | ||||
\(826\) | 41.2634 | + | 26.5184i | 1.43574 | + | 0.922692i | ||||
\(827\) | −11.3148 | −0.393455 | −0.196728 | − | 0.980458i | \(-0.563031\pi\) | ||||
−0.196728 | + | 0.980458i | \(0.563031\pi\) | |||||||
\(828\) | −4.34397 | + | 2.03222i | −0.150964 | + | 0.0706244i | ||||
\(829\) | 46.9665 | 1.63121 | 0.815607 | − | 0.578607i | \(-0.196403\pi\) | ||||
0.815607 | + | 0.578607i | \(0.196403\pi\) | |||||||
\(830\) | 12.8254 | + | 8.24241i | 0.445177 | + | 0.286098i | ||||
\(831\) | 0.392885 | + | 2.73258i | 0.0136290 | + | 0.0947920i | ||||
\(832\) | −2.89064 | − | 6.32962i | −0.100215 | − | 0.219440i | ||||
\(833\) | 89.0929 | + | 26.1600i | 3.08689 | + | 0.906391i | ||||
\(834\) | 1.48127 | − | 3.24354i | 0.0512923 | − | 0.112314i | ||||
\(835\) | 10.6420 | − | 12.2816i | 0.368283 | − | 0.425021i | ||||
\(836\) | 1.27433 | − | 8.86315i | 0.0440736 | − | 0.306538i | ||||
\(837\) | 3.80696 | − | 1.11782i | 0.131588 | − | 0.0386377i | ||||
\(838\) | 21.8134 | + | 25.1740i | 0.753531 | + | 0.869621i | ||||
\(839\) | −20.3748 | + | 13.0941i | −0.703415 | + | 0.452057i | −0.842832 | − | 0.538176i | \(-0.819113\pi\) |
0.139417 | + | 0.990234i | \(0.455477\pi\) | |||||||
\(840\) | −3.78577 | + | 2.43297i | −0.130622 | + | 0.0839454i | ||||
\(841\) | 2.58846 | + | 2.98724i | 0.0892572 | + | 0.103008i | ||||
\(842\) | 21.3568 | − | 6.27094i | 0.736005 | − | 0.216111i | ||||
\(843\) | 4.03351 | − | 28.0537i | 0.138922 | − | 0.966221i | ||||
\(844\) | −1.48508 | + | 1.71387i | −0.0511184 | + | 0.0589938i | ||||
\(845\) | −14.7140 | + | 32.2191i | −0.506175 | + | 1.10837i | ||||
\(846\) | −3.90970 | − | 1.14799i | −0.134418 | − | 0.0394687i | ||||
\(847\) | −5.80747 | − | 12.7166i | −0.199547 | − | 0.436947i | ||||
\(848\) | 0.557995 | + | 3.88094i | 0.0191616 | + | 0.133272i | ||||
\(849\) | −17.4386 | − | 11.2071i | −0.598492 | − | 0.384627i | ||||
\(850\) | 7.00711 | 0.240342 | ||||||||
\(851\) | −0.330853 | − | 36.0469i | −0.0113415 | − | 1.23567i | ||||
\(852\) | −4.98423 | −0.170757 | ||||||||
\(853\) | −2.83745 | − | 1.82352i | −0.0971525 | − | 0.0624361i | 0.491162 | − | 0.871068i | \(-0.336572\pi\) |
−0.588315 | + | 0.808632i | \(0.700208\pi\) | |||||||
\(854\) | 8.53075 | + | 59.3327i | 0.291916 | + | 2.03032i | ||||
\(855\) | 0.990383 | + | 2.16864i | 0.0338704 | + | 0.0741658i | ||||
\(856\) | 9.98288 | + | 2.93124i | 0.341208 | + | 0.100188i | ||||
\(857\) | 3.93252 | − | 8.61102i | 0.134332 | − | 0.294147i | −0.830497 | − | 0.557023i | \(-0.811944\pi\) |
0.964830 | + | 0.262876i | \(0.0846709\pi\) | |||||||
\(858\) | −17.1148 | + | 19.7515i | −0.584289 | + | 0.674305i | ||||
\(859\) | 6.60896 | − | 45.9663i | 0.225495 | − | 1.56835i | −0.491253 | − | 0.871017i | \(-0.663461\pi\) |
0.716747 | − | 0.697333i | \(-0.245630\pi\) | |||||||
\(860\) | −8.50341 | + | 2.49683i | −0.289964 | + | 0.0851411i | ||||
\(861\) | 6.49063 | + | 7.49059i | 0.221200 | + | 0.255279i | ||||
\(862\) | −0.828306 | + | 0.532320i | −0.0282122 | + | 0.0181309i | ||||
\(863\) | −29.9048 | + | 19.2186i | −1.01797 | + | 0.654209i | −0.939444 | − | 0.342703i | \(-0.888658\pi\) |
−0.0785259 | + | 0.996912i | \(0.525021\pi\) | |||||||
\(864\) | 0.654861 | + | 0.755750i | 0.0222788 | + | 0.0257111i | ||||
\(865\) | 1.63401 | − | 0.479788i | 0.0555579 | − | 0.0163133i | ||||
\(866\) | −0.792056 | + | 5.50887i | −0.0269151 | + | 0.187199i | ||||
\(867\) | −21.0207 | + | 24.2592i | −0.713901 | + | 0.823886i | ||||
\(868\) | 7.41731 | − | 16.2416i | 0.251760 | − | 0.551277i | ||||
\(869\) | −14.3434 | − | 4.21161i | −0.486568 | − | 0.142869i | ||||
\(870\) | −2.07904 | − | 4.55246i | −0.0704860 | − | 0.154343i | ||||
\(871\) | 1.01968 | + | 7.09203i | 0.0345506 | + | 0.240304i | ||||
\(872\) | 16.9164 | + | 10.8715i | 0.572861 | + | 0.368156i | ||||
\(873\) | −6.51966 | −0.220657 | ||||||||
\(874\) | 10.4436 | + | 4.65405i | 0.353259 | + | 0.157426i | ||||
\(875\) | 4.50016 | 0.152133 | ||||||||
\(876\) | −5.24585 | − | 3.37131i | −0.177241 | − | 0.113906i | ||||
\(877\) | 5.22016 | + | 36.3070i | 0.176272 | + | 1.22600i | 0.865296 | + | 0.501262i | \(0.167131\pi\) |
−0.689023 | + | 0.724739i | \(0.741960\pi\) | |||||||
\(878\) | −11.5479 | − | 25.2864i | −0.389723 | − | 0.853374i | ||||
\(879\) | −8.83537 | − | 2.59430i | −0.298010 | − | 0.0875035i | ||||
\(880\) | −1.56024 | + | 3.41646i | −0.0525958 | + | 0.115169i | ||||
\(881\) | −0.227274 | + | 0.262288i | −0.00765705 | + | 0.00883671i | −0.759565 | − | 0.650431i | \(-0.774588\pi\) |
0.751908 | + | 0.659268i | \(0.229134\pi\) | |||||||
\(882\) | 1.88587 | − | 13.1165i | 0.0635007 | − | 0.441657i | ||||
\(883\) | −51.8074 | + | 15.2120i | −1.74346 | + | 0.511926i | −0.989442 | − | 0.144930i | \(-0.953704\pi\) |
−0.754016 | + | 0.656856i | \(0.771886\pi\) | |||||||
\(884\) | −31.9300 | − | 36.8492i | −1.07392 | − | 1.23937i | ||||
\(885\) | −9.16931 | + | 5.89276i | −0.308223 | + | 0.198083i | ||||
\(886\) | −14.9002 | + | 9.57579i | −0.500583 | + | 0.321705i | ||||
\(887\) | −10.6475 | − | 12.2879i | −0.357510 | − | 0.412588i | 0.548294 | − | 0.836286i | \(-0.315277\pi\) |
−0.905804 | + | 0.423698i | \(0.860732\pi\) | |||||||
\(888\) | −7.21215 | + | 2.11768i | −0.242024 | + | 0.0710646i | ||||
\(889\) | −8.51596 | + | 59.2298i | −0.285616 | + | 1.98650i | ||||
\(890\) | 8.44655 | − | 9.74784i | 0.283129 | − | 0.326748i | ||||
\(891\) | 1.56024 | − | 3.41646i | 0.0522701 | − | 0.114456i | ||||
\(892\) | −11.7987 | − | 3.46440i | −0.395048 | − | 0.115997i | ||||
\(893\) | 4.03556 | + | 8.83665i | 0.135045 | + | 0.295707i | ||||
\(894\) | 0.539111 | + | 3.74960i | 0.0180306 | + | 0.125405i | ||||
\(895\) | −10.9962 | − | 7.06681i | −0.367562 | − | 0.236218i | ||||
\(896\) | 4.50016 | 0.150340 | ||||||||
\(897\) | −18.2989 | − | 27.9071i | −0.610983 | − | 0.931792i | ||||
\(898\) | −24.4730 | −0.816676 | ||||||||
\(899\) | 16.7049 | + | 10.7356i | 0.557140 | + | 0.358052i | ||||
\(900\) | −0.142315 | − | 0.989821i | −0.00474383 | − | 0.0329940i | ||||
\(901\) | 11.4130 | + | 24.9910i | 0.380223 | + | 0.832572i | ||||
\(902\) | 7.93711 | + | 2.33054i | 0.264277 | + | 0.0775987i | ||||
\(903\) | 16.5677 | − | 36.2781i | 0.551338 | − | 1.20726i | ||||
\(904\) | −5.06626 | + | 5.84678i | −0.168501 | + | 0.194461i | ||||
\(905\) | 2.82585 | − | 19.6542i | 0.0939343 | − | 0.653327i | ||||
\(906\) | −12.0059 | + | 3.52525i | −0.398869 | + | 0.117119i | ||||
\(907\) | −16.8892 | − | 19.4912i | −0.560797 | − | 0.647194i | 0.402567 | − | 0.915390i | \(-0.368118\pi\) |
−0.963364 | + | 0.268196i | \(0.913572\pi\) | |||||||
\(908\) | −3.43726 | + | 2.20899i | −0.114070 | + | 0.0733080i | ||||
\(909\) | −3.68299 | + | 2.36691i | −0.122157 | + | 0.0785056i | ||||
\(910\) | −20.5064 | − | 23.6656i | −0.679779 | − | 0.784507i | ||||
\(911\) | 32.5387 | − | 9.55421i | 1.07805 | − | 0.316545i | 0.305954 | − | 0.952046i | \(-0.401025\pi\) |
0.772100 | + | 0.635501i | \(0.219206\pi\) | |||||||
\(912\) | 0.339290 | − | 2.35981i | 0.0112350 | − | 0.0781412i | ||||
\(913\) | −37.4977 | + | 43.2746i | −1.24099 | + | 1.43218i | ||||
\(914\) | 6.68483 | − | 14.6377i | 0.221115 | − | 0.484174i | ||||
\(915\) | −12.7806 | − | 3.75272i | −0.422513 | − | 0.124061i | ||||
\(916\) | −5.04326 | − | 11.0432i | −0.166634 | − | 0.364877i | ||||
\(917\) | −4.87824 | − | 33.9289i | −0.161094 | − | 1.12043i | ||||
\(918\) | 5.89475 | + | 3.78833i | 0.194556 | + | 0.125033i | ||||
\(919\) | 53.3110 | 1.75857 | 0.879284 | − | 0.476297i | \(-0.158021\pi\) | ||||
0.879284 | + | 0.476297i | \(0.158021\pi\) | |||||||
\(920\) | −3.65312 | − | 3.10720i | −0.120440 | − | 0.102441i | ||||
\(921\) | 9.37874 | 0.309040 | ||||||||
\(922\) | −6.21396 | − | 3.99347i | −0.204646 | − | 0.131518i | ||||
\(923\) | −4.93583 | − | 34.3294i | −0.162465 | − | 1.12997i | ||||
\(924\) | −7.02134 | − | 15.3746i | −0.230985 | − | 0.505787i | ||||
\(925\) | 7.21215 | + | 2.11768i | 0.237134 | + | 0.0696288i | ||||
\(926\) | 0.0680509 | − | 0.149011i | 0.00223629 | − | 0.00489679i | ||||
\(927\) | −0.0770990 | + | 0.0889770i | −0.00253226 | + | 0.00292239i | ||||
\(928\) | −0.712247 | + | 4.95379i | −0.0233807 | + | 0.162616i | ||||
\(929\) | 37.4324 | − | 10.9911i | 1.22812 | − | 0.360607i | 0.397578 | − | 0.917569i | \(-0.369851\pi\) |
0.830539 | + | 0.556961i | \(0.188033\pi\) | |||||||
\(930\) | 2.59828 | + | 2.99857i | 0.0852009 | + | 0.0983271i | ||||
\(931\) | −26.5773 | + | 17.0802i | −0.871035 | + | 0.559780i | ||||
\(932\) | −15.6838 | + | 10.0794i | −0.513740 | + | 0.330160i | ||||
\(933\) | 5.44885 | + | 6.28831i | 0.178387 | + | 0.205870i | ||||
\(934\) | −15.6210 | + | 4.58675i | −0.511136 | + | 0.150083i | ||||
\(935\) | −3.74541 | + | 26.0499i | −0.122488 | + | 0.851922i | ||||
\(936\) | −4.55681 | + | 5.25884i | −0.148944 | + | 0.171891i | ||||
\(937\) | −4.51553 | + | 9.88763i | −0.147516 | + | 0.323015i | −0.968937 | − | 0.247307i | \(-0.920454\pi\) |
0.821421 | + | 0.570322i | \(0.193182\pi\) | |||||||
\(938\) | −4.44602 | − | 1.30547i | −0.145168 | − | 0.0426251i | ||||
\(939\) | 8.51028 | + | 18.6349i | 0.277723 | + | 0.608128i | ||||
\(940\) | −0.579898 | − | 4.03328i | −0.0189142 | − | 0.131551i | ||||
\(941\) | −38.3338 | − | 24.6356i | −1.24964 | − | 0.803098i | −0.262813 | − | 0.964847i | \(-0.584650\pi\) |
−0.986832 | + | 0.161749i | \(0.948287\pi\) | |||||||
\(942\) | −4.41393 | −0.143814 | ||||||||
\(943\) | −5.62882 | + | 8.93793i | −0.183300 | + | 0.291059i | ||||
\(944\) | 10.8996 | 0.354751 | ||||||||
\(945\) | 3.78577 | + | 2.43297i | 0.123151 | + | 0.0791445i | ||||
\(946\) | −4.73709 | − | 32.9472i | −0.154016 | − | 1.07121i | ||||
\(947\) | 3.59941 | + | 7.88160i | 0.116965 | + | 0.256118i | 0.959055 | − | 0.283219i | \(-0.0914023\pi\) |
−0.842090 | + | 0.539337i | \(0.818675\pi\) | |||||||
\(948\) | −3.81894 | − | 1.12134i | −0.124033 | − | 0.0364195i | ||||
\(949\) | 18.0253 | − | 39.4700i | 0.585127 | − | 1.28125i | ||||
\(950\) | −1.56124 | + | 1.80177i | −0.0506533 | + | 0.0584571i | ||||
\(951\) | 4.29163 | − | 29.8490i | 0.139166 | − | 0.967919i | ||||
\(952\) | 30.2558 | − | 8.88390i | 0.980595 | − | 0.287929i | ||||
\(953\) | −14.5255 | − | 16.7634i | −0.470528 | − | 0.543019i | 0.470030 | − | 0.882650i | \(-0.344243\pi\) |
−0.940558 | + | 0.339632i | \(0.889698\pi\) | |||||||
\(954\) | 3.29843 | − | 2.11977i | 0.106790 | − | 0.0686301i | ||||
\(955\) | 5.49709 | − | 3.53277i | 0.177882 | − | 0.114318i | ||||
\(956\) | −1.49840 | − | 1.72924i | −0.0484617 | − | 0.0559277i | ||||
\(957\) | 18.0357 | − | 5.29575i | 0.583011 | − | 0.171187i | ||||
\(958\) | 1.76437 | − | 12.2715i | 0.0570043 | − | 0.396474i | ||||
\(959\) | 1.34721 | − | 1.55477i | 0.0435038 | − | 0.0502061i | ||||
\(960\) | −0.415415 | + | 0.909632i | −0.0134075 | + | 0.0293582i | ||||
\(961\) | 14.6395 | + | 4.29854i | 0.472241 | + | 0.138663i | ||||
\(962\) | −21.7279 | − | 47.5774i | −0.700534 | − | 1.53396i | ||||
\(963\) | −1.48069 | − | 10.2984i | −0.0477146 | − | 0.331862i | ||||
\(964\) | −11.0338 | − | 7.09102i | −0.355376 | − | 0.228386i | ||||
\(965\) | −3.70119 | −0.119145 | ||||||||
\(966\) | 21.3332 | − | 3.26737i | 0.686386 | − | 0.105126i | ||||
\(967\) | −20.1255 | −0.647192 | −0.323596 | − | 0.946195i | \(-0.604892\pi\) | ||||
−0.323596 | + | 0.946195i | \(0.604892\pi\) | |||||||
\(968\) | −2.61339 | − | 1.67952i | −0.0839975 | − | 0.0539819i | ||||
\(969\) | −2.37744 | − | 16.5355i | −0.0763744 | − | 0.531196i | ||||
\(970\) | −2.70836 | − | 5.93049i | −0.0869603 | − | 0.190416i | ||||
\(971\) | 17.5976 | + | 5.16711i | 0.564733 | + | 0.165820i | 0.551623 | − | 0.834094i | \(-0.314009\pi\) |
0.0131097 | + | 0.999914i | \(0.495827\pi\) | |||||||
\(972\) | 0.415415 | − | 0.909632i | 0.0133244 | − | 0.0291765i | ||||
\(973\) | −10.5082 | + | 12.1272i | −0.336879 | + | 0.388779i | ||||
\(974\) | 5.43382 | − | 37.7931i | 0.174111 | − | 1.21097i | ||||
\(975\) | 6.67657 | − | 1.96042i | 0.213822 | − | 0.0627837i | ||||
\(976\) | 8.72285 | + | 10.0667i | 0.279212 | + | 0.322227i | ||||
\(977\) | −2.38644 | + | 1.53367i | −0.0763490 | + | 0.0490665i | −0.578258 | − | 0.815854i | \(-0.696267\pi\) |
0.501909 | + | 0.864920i | \(0.332631\pi\) | |||||||
\(978\) | −4.73056 | + | 3.04014i | −0.151266 | + | 0.0972131i | ||||
\(979\) | 31.7241 | + | 36.6116i | 1.01391 | + | 1.17011i | ||||
\(980\) | 12.7146 | − | 3.73336i | 0.406154 | − | 0.119258i | ||||
\(981\) | 2.86175 | − | 19.9039i | 0.0913685 | − | 0.635482i | ||||
\(982\) | −16.6266 | + | 19.1881i | −0.530575 | + | 0.612317i | ||||
\(983\) | 15.4219 | − | 33.7692i | 0.491882 | − | 1.07707i | −0.487142 | − | 0.873323i | \(-0.661960\pi\) |
0.979023 | − | 0.203748i | \(-0.0653122\pi\) | |||||||
\(984\) | 2.11326 | + | 0.620508i | 0.0673681 | + | 0.0197811i | ||||
\(985\) | 5.26944 | + | 11.5385i | 0.167898 | + | 0.367646i | ||||
\(986\) | 4.99079 | + | 34.7117i | 0.158939 | + | 1.10545i | ||||
\(987\) | 15.4261 | + | 9.91375i | 0.491018 | + | 0.315558i | ||||
\(988\) | 16.5895 | 0.527782 | ||||||||
\(989\) | 42.1237 | + | 5.66238i | 1.33946 | + | 0.180053i | ||||
\(990\) | 3.75587 | 0.119369 | ||||||||
\(991\) | −2.76575 | − | 1.77744i | −0.0878569 | − | 0.0564622i | 0.495975 | − | 0.868337i | \(-0.334811\pi\) |
−0.583832 | + | 0.811875i | \(0.698447\pi\) | |||||||
\(992\) | −0.564660 | − | 3.92729i | −0.0179280 | − | 0.124692i | ||||
\(993\) | 8.72050 | + | 19.0952i | 0.276737 | + | 0.605969i | ||||
\(994\) | 21.5212 | + | 6.31921i | 0.682613 | + | 0.200433i | ||||
\(995\) | −2.13642 | + | 4.67811i | −0.0677291 | + | 0.148306i | ||||
\(996\) | −9.98376 | + | 11.5219i | −0.316348 | + | 0.365085i | ||||
\(997\) | −2.63942 | + | 18.3576i | −0.0835913 | + | 0.581391i | 0.904377 | + | 0.426734i | \(0.140336\pi\) |
−0.987968 | + | 0.154656i | \(0.950573\pi\) | |||||||
\(998\) | −34.8777 | + | 10.2410i | −1.10404 | + | 0.324174i | ||||
\(999\) | 4.92234 | + | 5.68069i | 0.155736 | + | 0.179729i |
(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 | 690.2.m.h.301.3 | ✓ | 30 | |
23.12 | even | 11 | inner | 690.2.m.h.541.3 | yes | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.h.301.3 | ✓ | 30 | 1.1 | even | 1 | trivial | |
690.2.m.h.541.3 | yes | 30 | 23.12 | even | 11 | inner |