Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [735,2,Mod(197,735)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(735, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("735.197");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 735 = 3 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 735.j (of order \(4\), degree \(2\), 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: | \(5.86900454856\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(i)\) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 197.8 | ||
Character | \(\chi\) | \(=\) | 735.197 |
Dual form | 735.2.j.e.638.8 |
$q$-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 \(\left(\mathbb{Z}/735\mathbb{Z}\right)^\times\).
\(n\) | \(346\) | \(442\) | \(491\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.664190 | − | 0.664190i | 0.469653 | − | 0.469653i | −0.432149 | − | 0.901802i | \(-0.642245\pi\) |
0.901802 | + | 0.432149i | \(0.142245\pi\) | |||||||
\(3\) | −1.63258 | + | 0.578521i | −0.942570 | + | 0.334010i | ||||
\(4\) | 1.11770i | 0.558852i | ||||||||
\(5\) | −0.459812 | + | 2.18828i | −0.205634 | + | 0.978629i | ||||
\(6\) | −0.700094 | + | 1.46859i | −0.285812 | + | 0.599550i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 2.07075 | + | 2.07075i | 0.732120 | + | 0.732120i | ||||
\(9\) | 2.33063 | − | 1.88896i | 0.776875 | − | 0.629655i | ||||
\(10\) | 1.14803 | + | 1.75884i | 0.363039 | + | 0.556193i | ||||
\(11\) | 0.727602i | 0.219380i | 0.993966 | + | 0.109690i | \(0.0349859\pi\) | ||||
−0.993966 | + | 0.109690i | \(0.965014\pi\) | |||||||
\(12\) | −0.646615 | − | 1.82474i | −0.186662 | − | 0.526757i | ||||
\(13\) | 1.44243 | − | 1.44243i | 0.400058 | − | 0.400058i | −0.478196 | − | 0.878253i | \(-0.658709\pi\) |
0.878253 | + | 0.478196i | \(0.158709\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.515288 | − | 3.83855i | −0.133047 | − | 0.991110i | ||||
\(16\) | 0.515332 | 0.128833 | ||||||||
\(17\) | −5.19101 | + | 5.19101i | −1.25900 | + | 1.25900i | −0.307435 | + | 0.951569i | \(0.599471\pi\) |
−0.951569 | + | 0.307435i | \(0.900529\pi\) | |||||||
\(18\) | 0.293348 | − | 2.80261i | 0.0691427 | − | 0.660581i | ||||
\(19\) | − | 0.767153i | − | 0.175997i | −0.996121 | − | 0.0879985i | \(-0.971953\pi\) | ||
0.996121 | − | 0.0879985i | \(-0.0280471\pi\) | |||||||
\(20\) | −2.44585 | − | 0.513933i | −0.546908 | − | 0.114919i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.483266 | + | 0.483266i | 0.103033 | + | 0.103033i | ||||
\(23\) | 2.29559 | + | 2.29559i | 0.478664 | + | 0.478664i | 0.904704 | − | 0.426040i | \(-0.140092\pi\) |
−0.426040 | + | 0.904704i | \(0.640092\pi\) | |||||||
\(24\) | −4.57863 | − | 2.18269i | −0.934609 | − | 0.445539i | ||||
\(25\) | −4.57715 | − | 2.01240i | −0.915429 | − | 0.402479i | ||||
\(26\) | − | 1.91609i | − | 0.375777i | ||||||
\(27\) | −2.71212 | + | 4.43220i | −0.521948 | + | 0.852977i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.07354 | −0.756437 | −0.378219 | − | 0.925716i | \(-0.623463\pi\) | ||||
−0.378219 | + | 0.925716i | \(0.623463\pi\) | |||||||
\(30\) | −2.89178 | − | 2.20728i | −0.527964 | − | 0.402992i | ||||
\(31\) | −0.419859 | −0.0754089 | −0.0377045 | − | 0.999289i | \(-0.512005\pi\) | ||||
−0.0377045 | + | 0.999289i | \(0.512005\pi\) | |||||||
\(32\) | −3.79922 | + | 3.79922i | −0.671613 | + | 0.671613i | ||||
\(33\) | −0.420933 | − | 1.18787i | −0.0732751 | − | 0.206781i | ||||
\(34\) | 6.89563i | 1.18259i | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 2.11130 | + | 2.60495i | 0.351884 | + | 0.434158i | ||||
\(37\) | −4.45460 | − | 4.45460i | −0.732332 | − | 0.732332i | 0.238749 | − | 0.971081i | \(-0.423263\pi\) |
−0.971081 | + | 0.238749i | \(0.923263\pi\) | |||||||
\(38\) | −0.509535 | − | 0.509535i | −0.0826575 | − | 0.0826575i | ||||
\(39\) | −1.52040 | + | 3.18935i | −0.243459 | + | 0.510705i | ||||
\(40\) | −5.48353 | + | 3.57922i | −0.867022 | + | 0.565925i | ||||
\(41\) | − | 4.44452i | − | 0.694117i | −0.937843 | − | 0.347058i | \(-0.887181\pi\) | ||
0.937843 | − | 0.347058i | \(-0.112819\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.15881 | + | 5.15881i | −0.786711 | + | 0.786711i | −0.980953 | − | 0.194243i | \(-0.937775\pi\) |
0.194243 | + | 0.980953i | \(0.437775\pi\) | |||||||
\(44\) | −0.813243 | −0.122601 | ||||||||
\(45\) | 3.06193 | + | 5.96863i | 0.456446 | + | 0.889751i | ||||
\(46\) | 3.04942 | 0.449612 | ||||||||
\(47\) | −4.97294 | + | 4.97294i | −0.725378 | + | 0.725378i | −0.969695 | − | 0.244317i | \(-0.921436\pi\) |
0.244317 | + | 0.969695i | \(0.421436\pi\) | |||||||
\(48\) | −0.841320 | + | 0.298131i | −0.121434 | + | 0.0430315i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −4.37671 | + | 1.70348i | −0.618960 | + | 0.240909i | ||||
\(51\) | 5.47162 | − | 11.4778i | 0.766180 | − | 1.60722i | ||||
\(52\) | 1.61221 | + | 1.61221i | 0.223573 | + | 0.223573i | ||||
\(53\) | 3.85680 | + | 3.85680i | 0.529773 | + | 0.529773i | 0.920505 | − | 0.390732i | \(-0.127778\pi\) |
−0.390732 | + | 0.920505i | \(0.627778\pi\) | |||||||
\(54\) | 1.14246 | + | 4.74519i | 0.155469 | + | 0.645738i | ||||
\(55\) | −1.59220 | − | 0.334560i | −0.214692 | − | 0.0451121i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.443814 | + | 1.25244i | 0.0587846 | + | 0.165889i | ||||
\(58\) | −2.70560 | + | 2.70560i | −0.355263 | + | 0.355263i | ||||
\(59\) | −1.61558 | −0.210331 | −0.105165 | − | 0.994455i | \(-0.533537\pi\) | ||||
−0.105165 | + | 0.994455i | \(0.533537\pi\) | |||||||
\(60\) | 4.29036 | − | 0.575940i | 0.553883 | − | 0.0743535i | ||||
\(61\) | 9.57809 | 1.22635 | 0.613174 | − | 0.789948i | \(-0.289892\pi\) | ||||
0.613174 | + | 0.789948i | \(0.289892\pi\) | |||||||
\(62\) | −0.278866 | + | 0.278866i | −0.0354160 | + | 0.0354160i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 6.07747i | 0.759683i | ||||||||
\(65\) | 2.49319 | + | 3.81968i | 0.309242 | + | 0.473773i | ||||
\(66\) | −1.06855 | − | 0.509390i | −0.131529 | − | 0.0627016i | ||||
\(67\) | 5.05372 | + | 5.05372i | 0.617410 | + | 0.617410i | 0.944866 | − | 0.327457i | \(-0.106191\pi\) |
−0.327457 | + | 0.944866i | \(0.606191\pi\) | |||||||
\(68\) | −5.80201 | − | 5.80201i | −0.703597 | − | 0.703597i | ||||
\(69\) | −5.07578 | − | 2.41969i | −0.611053 | − | 0.291296i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 7.06501i | − | 0.838462i | −0.907880 | − | 0.419231i | \(-0.862300\pi\) | ||
0.907880 | − | 0.419231i | \(-0.137700\pi\) | |||||||
\(72\) | 8.73770 | + | 0.914571i | 1.02975 | + | 0.107783i | ||||
\(73\) | 11.1593 | − | 11.1593i | 1.30610 | − | 1.30610i | 0.381887 | − | 0.924209i | \(-0.375274\pi\) |
0.924209 | − | 0.381887i | \(-0.124726\pi\) | |||||||
\(74\) | −5.91741 | −0.687885 | ||||||||
\(75\) | 8.63676 | + | 0.637416i | 0.997288 | + | 0.0736025i | ||||
\(76\) | 0.857449 | 0.0983562 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 1.10850 | + | 3.12817i | 0.125513 | + | 0.354196i | ||||
\(79\) | 6.70703i | 0.754599i | 0.926091 | + | 0.377300i | \(0.123147\pi\) | ||||
−0.926091 | + | 0.377300i | \(0.876853\pi\) | |||||||
\(80\) | −0.236956 | + | 1.12769i | −0.0264925 | + | 0.126080i | ||||
\(81\) | 1.86363 | − | 8.80493i | 0.207070 | − | 0.978326i | ||||
\(82\) | −2.95200 | − | 2.95200i | −0.325994 | − | 0.325994i | ||||
\(83\) | 1.83008 | + | 1.83008i | 0.200877 | + | 0.200877i | 0.800376 | − | 0.599499i | \(-0.204633\pi\) |
−0.599499 | + | 0.800376i | \(0.704633\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −8.97250 | − | 13.7463i | −0.973204 | − | 1.49099i | ||||
\(86\) | 6.85285i | 0.738962i | ||||||||
\(87\) | 6.65037 | − | 2.35663i | 0.712995 | − | 0.252657i | ||||
\(88\) | −1.50668 | + | 1.50668i | −0.160613 | + | 0.160613i | ||||
\(89\) | 13.8995 | 1.47335 | 0.736674 | − | 0.676248i | \(-0.236395\pi\) | ||||
0.736674 | + | 0.676248i | \(0.236395\pi\) | |||||||
\(90\) | 5.99801 | + | 1.93060i | 0.632246 | + | 0.203503i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −2.56579 | + | 2.56579i | −0.267502 | + | 0.267502i | ||||
\(93\) | 0.685453 | − | 0.242898i | 0.0710782 | − | 0.0251873i | ||||
\(94\) | 6.60596i | 0.681352i | ||||||||
\(95\) | 1.67875 | + | 0.352746i | 0.172236 | + | 0.0361910i | ||||
\(96\) | 4.00459 | − | 8.40045i | 0.408717 | − | 0.857367i | ||||
\(97\) | −5.62554 | − | 5.62554i | −0.571187 | − | 0.571187i | 0.361273 | − | 0.932460i | \(-0.382342\pi\) |
−0.932460 | + | 0.361273i | \(0.882342\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.37441 | + | 1.69577i | 0.138134 | + | 0.170431i | ||||
\(100\) | 2.24926 | − | 5.11589i | 0.224926 | − | 0.511589i | ||||
\(101\) | 5.28252i | 0.525630i | 0.964846 | + | 0.262815i | \(0.0846510\pi\) | ||||
−0.964846 | + | 0.262815i | \(0.915349\pi\) | |||||||
\(102\) | −3.98927 | − | 11.2577i | −0.394997 | − | 1.11467i | ||||
\(103\) | −5.13520 | + | 5.13520i | −0.505986 | + | 0.505986i | −0.913292 | − | 0.407306i | \(-0.866468\pi\) |
0.407306 | + | 0.913292i | \(0.366468\pi\) | |||||||
\(104\) | 5.97381 | 0.585780 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 5.12330 | 0.497619 | ||||||||
\(107\) | −12.9509 | + | 12.9509i | −1.25201 | + | 1.25201i | −0.297190 | + | 0.954818i | \(0.596049\pi\) |
−0.954818 | + | 0.297190i | \(0.903951\pi\) | |||||||
\(108\) | −4.95388 | − | 3.03135i | −0.476688 | − | 0.291692i | ||||
\(109\) | − | 6.32063i | − | 0.605407i | −0.953085 | − | 0.302704i | \(-0.902111\pi\) | ||
0.953085 | − | 0.302704i | \(-0.0978892\pi\) | |||||||
\(110\) | −1.27973 | + | 0.835310i | −0.122018 | + | 0.0796437i | ||||
\(111\) | 9.84958 | + | 4.69541i | 0.934880 | + | 0.445668i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 7.98925 | + | 7.98925i | 0.751566 | + | 0.751566i | 0.974771 | − | 0.223206i | \(-0.0716521\pi\) |
−0.223206 | + | 0.974771i | \(0.571652\pi\) | |||||||
\(114\) | 1.12663 | + | 0.537079i | 0.105519 | + | 0.0503021i | ||||
\(115\) | −6.07894 | + | 3.96786i | −0.566864 | + | 0.370005i | ||||
\(116\) | − | 4.55301i | − | 0.422736i | ||||||
\(117\) | 0.637066 | − | 6.08645i | 0.0588968 | − | 0.562693i | ||||
\(118\) | −1.07305 | + | 1.07305i | −0.0987824 | + | 0.0987824i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 6.88164 | − | 9.01570i | 0.628205 | − | 0.823017i | ||||
\(121\) | 10.4706 | 0.951872 | ||||||||
\(122\) | 6.36167 | − | 6.36167i | 0.575958 | − | 0.575958i | ||||
\(123\) | 2.57125 | + | 7.25602i | 0.231842 | + | 0.654254i | ||||
\(124\) | − | 0.469278i | − | 0.0421424i | ||||||
\(125\) | 6.50831 | − | 9.09076i | 0.582121 | − | 0.813102i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.07524 | − | 1.07524i | −0.0954126 | − | 0.0954126i | 0.657789 | − | 0.753202i | \(-0.271492\pi\) |
−0.753202 | + | 0.657789i | \(0.771492\pi\) | |||||||
\(128\) | −3.56184 | − | 3.56184i | −0.314825 | − | 0.314825i | ||||
\(129\) | 5.43768 | − | 11.4066i | 0.478761 | − | 1.00430i | ||||
\(130\) | 4.19295 | + | 0.881042i | 0.367746 | + | 0.0772725i | ||||
\(131\) | 11.1453i | 0.973768i | 0.873467 | + | 0.486884i | \(0.161867\pi\) | ||||
−0.873467 | + | 0.486884i | \(0.838133\pi\) | |||||||
\(132\) | 1.32768 | − | 0.470479i | 0.115560 | − | 0.0409499i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 6.71326 | 0.579937 | ||||||||
\(135\) | −8.45183 | − | 7.97287i | −0.727418 | − | 0.686195i | ||||
\(136\) | −21.4985 | −1.84348 | ||||||||
\(137\) | −8.15519 | + | 8.15519i | −0.696745 | + | 0.696745i | −0.963707 | − | 0.266962i | \(-0.913980\pi\) |
0.266962 | + | 0.963707i | \(0.413980\pi\) | |||||||
\(138\) | −4.97842 | + | 1.76415i | −0.423791 | + | 0.150175i | ||||
\(139\) | − | 1.33168i | − | 0.112952i | −0.998404 | − | 0.0564760i | \(-0.982014\pi\) | ||
0.998404 | − | 0.0564760i | \(-0.0179864\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 5.24176 | − | 10.9957i | 0.441436 | − | 0.926003i | ||||
\(142\) | −4.69251 | − | 4.69251i | −0.393787 | − | 0.393787i | ||||
\(143\) | 1.04951 | + | 1.04951i | 0.0877647 | + | 0.0877647i | ||||
\(144\) | 1.20105 | − | 0.973443i | 0.100087 | − | 0.0811203i | ||||
\(145\) | 1.87306 | − | 8.91405i | 0.155549 | − | 0.740271i | ||||
\(146\) | − | 14.8238i | − | 1.22682i | ||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.97893 | − | 4.97893i | 0.409265 | − | 0.409265i | ||||
\(149\) | 1.30091 | 0.106575 | 0.0532873 | − | 0.998579i | \(-0.483030\pi\) | ||||
0.0532873 | + | 0.998579i | \(0.483030\pi\) | |||||||
\(150\) | 6.15982 | − | 5.31309i | 0.502947 | − | 0.433812i | ||||
\(151\) | −3.17149 | −0.258092 | −0.129046 | − | 0.991639i | \(-0.541192\pi\) | ||||
−0.129046 | + | 0.991639i | \(0.541192\pi\) | |||||||
\(152\) | 1.58858 | − | 1.58858i | 0.128851 | − | 0.128851i | ||||
\(153\) | −2.29267 | + | 21.9039i | −0.185352 | + | 1.77083i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.193056 | − | 0.918770i | 0.0155066 | − | 0.0737974i | ||||
\(156\) | −3.56475 | − | 1.69936i | −0.285408 | − | 0.136058i | ||||
\(157\) | 3.05289 | + | 3.05289i | 0.243648 | + | 0.243648i | 0.818357 | − | 0.574710i | \(-0.194885\pi\) |
−0.574710 | + | 0.818357i | \(0.694885\pi\) | |||||||
\(158\) | 4.45474 | + | 4.45474i | 0.354400 | + | 0.354400i | ||||
\(159\) | −8.52778 | − | 4.06529i | −0.676297 | − | 0.322399i | ||||
\(160\) | −6.56683 | − | 10.0607i | −0.519153 | − | 0.795366i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −4.61034 | − | 7.08596i | −0.362223 | − | 0.556725i | ||||
\(163\) | −6.75917 | + | 6.75917i | −0.529419 | + | 0.529419i | −0.920399 | − | 0.390980i | \(-0.872136\pi\) |
0.390980 | + | 0.920399i | \(0.372136\pi\) | |||||||
\(164\) | 4.96765 | 0.387908 | ||||||||
\(165\) | 2.79294 | − | 0.374925i | 0.217430 | − | 0.0291879i | ||||
\(166\) | 2.43104 | 0.188685 | ||||||||
\(167\) | 5.52186 | − | 5.52186i | 0.427294 | − | 0.427294i | −0.460411 | − | 0.887706i | \(-0.652298\pi\) |
0.887706 | + | 0.460411i | \(0.152298\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 8.83880i | 0.679908i | ||||||||
\(170\) | −15.0896 | − | 3.17069i | −1.15732 | − | 0.243181i | ||||
\(171\) | −1.44912 | − | 1.78795i | −0.110817 | − | 0.136728i | ||||
\(172\) | −5.76602 | − | 5.76602i | −0.439655 | − | 0.439655i | ||||
\(173\) | 9.46050 | + | 9.46050i | 0.719269 | + | 0.719269i | 0.968455 | − | 0.249187i | \(-0.0801633\pi\) |
−0.249187 | + | 0.968455i | \(0.580163\pi\) | |||||||
\(174\) | 2.85186 | − | 5.98236i | 0.216199 | − | 0.453522i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.374957i | 0.0282634i | ||||||||
\(177\) | 2.63756 | − | 0.934647i | 0.198251 | − | 0.0702524i | ||||
\(178\) | 9.23193 | − | 9.23193i | 0.691962 | − | 0.691962i | ||||
\(179\) | 12.7087 | 0.949895 | 0.474948 | − | 0.880014i | \(-0.342467\pi\) | ||||
0.474948 | + | 0.880014i | \(0.342467\pi\) | |||||||
\(180\) | −6.67116 | + | 3.42233i | −0.497239 | + | 0.255086i | ||||
\(181\) | 9.56008 | 0.710595 | 0.355298 | − | 0.934753i | \(-0.384380\pi\) | ||||
0.355298 | + | 0.934753i | \(0.384380\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −15.6370 | + | 5.54113i | −1.15592 | + | 0.409612i | ||||
\(184\) | 9.50718i | 0.700879i | ||||||||
\(185\) | 11.7962 | − | 7.69965i | 0.867274 | − | 0.566089i | ||||
\(186\) | 0.293941 | − | 0.616601i | 0.0215528 | − | 0.0452114i | ||||
\(187\) | −3.77699 | − | 3.77699i | −0.276201 | − | 0.276201i | ||||
\(188\) | −5.55827 | − | 5.55827i | −0.405379 | − | 0.405379i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.34930 | − | 0.880716i | 0.0978882 | − | 0.0638938i | ||||
\(191\) | 4.68105i | 0.338709i | 0.985555 | + | 0.169355i | \(0.0541683\pi\) | ||||
−0.985555 | + | 0.169355i | \(0.945832\pi\) | |||||||
\(192\) | −3.51594 | − | 9.92194i | −0.253741 | − | 0.716054i | ||||
\(193\) | 5.08182 | − | 5.08182i | 0.365798 | − | 0.365798i | −0.500144 | − | 0.865942i | \(-0.666720\pi\) |
0.865942 | + | 0.500144i | \(0.166720\pi\) | |||||||
\(194\) | −7.47286 | −0.536520 | ||||||||
\(195\) | −6.28010 | − | 4.79357i | −0.449727 | − | 0.343275i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 3.81705 | − | 3.81705i | 0.271954 | − | 0.271954i | −0.557933 | − | 0.829886i | \(-0.688405\pi\) |
0.829886 | + | 0.557933i | \(0.188405\pi\) | |||||||
\(198\) | 2.03918 | + | 0.213440i | 0.144918 | + | 0.0151685i | ||||
\(199\) | − | 11.7572i | − | 0.833445i | −0.909034 | − | 0.416723i | \(-0.863179\pi\) | ||
0.909034 | − | 0.416723i | \(-0.136821\pi\) | |||||||
\(200\) | −5.31095 | − | 13.6453i | −0.375541 | − | 0.964867i | ||||
\(201\) | −11.1743 | − | 5.32691i | −0.788172 | − | 0.375731i | ||||
\(202\) | 3.50860 | + | 3.50860i | 0.246864 | + | 0.246864i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 12.8288 | + | 6.11565i | 0.898197 | + | 0.428181i | ||||
\(205\) | 9.72585 | + | 2.04364i | 0.679283 | + | 0.142734i | ||||
\(206\) | 6.82150i | 0.475276i | ||||||||
\(207\) | 9.68646 | + | 1.01388i | 0.673255 | + | 0.0704693i | ||||
\(208\) | 0.743329 | − | 0.743329i | 0.0515406 | − | 0.0515406i | ||||
\(209\) | 0.558182 | 0.0386103 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 25.4378 | 1.75121 | 0.875606 | − | 0.483025i | \(-0.160462\pi\) | ||||
0.875606 | + | 0.483025i | \(0.160462\pi\) | |||||||
\(212\) | −4.31076 | + | 4.31076i | −0.296064 | + | 0.296064i | ||||
\(213\) | 4.08726 | + | 11.5342i | 0.280054 | + | 0.790309i | ||||
\(214\) | 17.2037i | 1.17602i | ||||||||
\(215\) | −8.91684 | − | 13.6610i | −0.608123 | − | 0.931672i | ||||
\(216\) | −14.7941 | + | 3.56184i | −1.00661 | + | 0.242353i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −4.19810 | − | 4.19810i | −0.284331 | − | 0.284331i | ||||
\(219\) | −11.7625 | + | 24.6743i | −0.794838 | + | 1.66734i | ||||
\(220\) | 0.373939 | − | 1.77960i | 0.0252110 | − | 0.119981i | ||||
\(221\) | 14.9753i | 1.00735i | ||||||||
\(222\) | 9.66063 | − | 3.42335i | 0.648379 | − | 0.229760i | ||||
\(223\) | 7.63840 | − | 7.63840i | 0.511505 | − | 0.511505i | −0.403482 | − | 0.914987i | \(-0.632200\pi\) |
0.914987 | + | 0.403482i | \(0.132200\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −14.4690 | + | 3.95592i | −0.964597 | + | 0.263728i | ||||
\(226\) | 10.6128 | 0.705951 | ||||||||
\(227\) | −0.572580 | + | 0.572580i | −0.0380035 | + | 0.0380035i | −0.725853 | − | 0.687850i | \(-0.758555\pi\) |
0.687850 | + | 0.725853i | \(0.258555\pi\) | |||||||
\(228\) | −1.39985 | + | 0.496053i | −0.0927076 | + | 0.0328519i | ||||
\(229\) | 16.1859i | 1.06960i | 0.844979 | + | 0.534799i | \(0.179613\pi\) | ||||
−0.844979 | + | 0.534799i | \(0.820387\pi\) | |||||||
\(230\) | −1.40216 | + | 6.67298i | −0.0924556 | + | 0.440004i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −8.43527 | − | 8.43527i | −0.553803 | − | 0.553803i | ||||
\(233\) | 9.35226 | + | 9.35226i | 0.612687 | + | 0.612687i | 0.943645 | − | 0.330958i | \(-0.107372\pi\) |
−0.330958 | + | 0.943645i | \(0.607372\pi\) | |||||||
\(234\) | −3.61943 | − | 4.46569i | −0.236609 | − | 0.291932i | ||||
\(235\) | −8.59557 | − | 13.1688i | −0.560713 | − | 0.859038i | ||||
\(236\) | − | 1.80574i | − | 0.117544i | ||||||
\(237\) | −3.88016 | − | 10.9497i | −0.252043 | − | 0.711263i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −0.0827799 | −0.00535459 | −0.00267729 | − | 0.999996i | \(-0.500852\pi\) | ||||
−0.00267729 | + | 0.999996i | \(0.500852\pi\) | |||||||
\(240\) | −0.265545 | − | 1.97813i | −0.0171408 | − | 0.127688i | ||||
\(241\) | −14.5184 | −0.935214 | −0.467607 | − | 0.883937i | \(-0.654884\pi\) | ||||
−0.467607 | + | 0.883937i | \(0.654884\pi\) | |||||||
\(242\) | 6.95446 | − | 6.95446i | 0.447050 | − | 0.447050i | ||||
\(243\) | 2.05132 | + | 15.4529i | 0.131592 | + | 0.991304i | ||||
\(244\) | 10.7055i | 0.685347i | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 6.52718 | + | 3.11158i | 0.416158 | + | 0.198387i | ||||
\(247\) | −1.10656 | − | 1.10656i | −0.0704089 | − | 0.0704089i | ||||
\(248\) | −0.869422 | − | 0.869422i | −0.0552084 | − | 0.0552084i | ||||
\(249\) | −4.04649 | − | 1.92901i | −0.256436 | − | 0.122246i | ||||
\(250\) | −1.71523 | − | 10.3607i | −0.108481 | − | 0.655271i | ||||
\(251\) | 16.4075i | 1.03563i | 0.855493 | + | 0.517815i | \(0.173254\pi\) | ||||
−0.855493 | + | 0.517815i | \(0.826746\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.67028 | + | 1.67028i | −0.105009 | + | 0.105009i | ||||
\(254\) | −1.42833 | −0.0896216 | ||||||||
\(255\) | 22.6008 | + | 17.2511i | 1.41532 | + | 1.08030i | ||||
\(256\) | −16.8864 | −1.05540 | ||||||||
\(257\) | −0.974599 | + | 0.974599i | −0.0607938 | + | 0.0607938i | −0.736850 | − | 0.676056i | \(-0.763688\pi\) |
0.676056 | + | 0.736850i | \(0.263688\pi\) | |||||||
\(258\) | −3.96452 | − | 11.1878i | −0.246820 | − | 0.696523i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −4.26927 | + | 2.78665i | −0.264769 | + | 0.172821i | ||||
\(261\) | −9.49389 | + | 7.69477i | −0.587657 | + | 0.476294i | ||||
\(262\) | 7.40259 | + | 7.40259i | 0.457333 | + | 0.457333i | ||||
\(263\) | −14.0052 | − | 14.0052i | −0.863595 | − | 0.863595i | 0.128158 | − | 0.991754i | \(-0.459093\pi\) |
−0.991754 | + | 0.128158i | \(0.959093\pi\) | |||||||
\(264\) | 1.58813 | − | 3.33142i | 0.0977424 | − | 0.205035i | ||||
\(265\) | −10.2132 | + | 6.66637i | −0.627390 | + | 0.409512i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −22.6921 | + | 8.04118i | −1.38873 | + | 0.492112i | ||||
\(268\) | −5.64856 | + | 5.64856i | −0.345041 | + | 0.345041i | ||||
\(269\) | −1.67047 | −0.101850 | −0.0509252 | − | 0.998702i | \(-0.516217\pi\) | ||||
−0.0509252 | + | 0.998702i | \(0.516217\pi\) | |||||||
\(270\) | −10.9091 | + | 0.318122i | −0.663908 | + | 0.0193603i | ||||
\(271\) | −1.29348 | −0.0785732 | −0.0392866 | − | 0.999228i | \(-0.512509\pi\) | ||||
−0.0392866 | + | 0.999228i | \(0.512509\pi\) | |||||||
\(272\) | −2.67509 | + | 2.67509i | −0.162201 | + | 0.162201i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 10.8332i | 0.654457i | ||||||||
\(275\) | 1.46422 | − | 3.33034i | 0.0882960 | − | 0.200827i | ||||
\(276\) | 2.70449 | − | 5.67322i | 0.162791 | − | 0.341488i | ||||
\(277\) | 8.27859 | + | 8.27859i | 0.497412 | + | 0.497412i | 0.910631 | − | 0.413219i | \(-0.135596\pi\) |
−0.413219 | + | 0.910631i | \(0.635596\pi\) | |||||||
\(278\) | −0.884492 | − | 0.884492i | −0.0530483 | − | 0.0530483i | ||||
\(279\) | −0.978534 | + | 0.793099i | −0.0585833 | + | 0.0474816i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 14.3020i | − | 0.853186i | −0.904444 | − | 0.426593i | \(-0.859714\pi\) | ||
0.904444 | − | 0.426593i | \(-0.140286\pi\) | |||||||
\(282\) | −3.82169 | − | 10.7847i | −0.227578 | − | 0.642222i | ||||
\(283\) | −7.38682 | + | 7.38682i | −0.439101 | + | 0.439101i | −0.891709 | − | 0.452608i | \(-0.850494\pi\) |
0.452608 | + | 0.891709i | \(0.350494\pi\) | |||||||
\(284\) | 7.89659 | 0.468576 | ||||||||
\(285\) | −2.94476 | + | 0.395305i | −0.174432 | + | 0.0234158i | ||||
\(286\) | 1.39415 | 0.0824380 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −1.67797 | + | 16.0311i | −0.0988753 | + | 0.944644i | ||||
\(289\) | − | 36.8931i | − | 2.17018i | ||||||
\(290\) | −4.67655 | − | 7.16469i | −0.274617 | − | 0.420725i | ||||
\(291\) | 12.4386 | + | 5.92964i | 0.729166 | + | 0.347602i | ||||
\(292\) | 12.4728 | + | 12.4728i | 0.729914 | + | 0.729914i | ||||
\(293\) | 9.37059 | + | 9.37059i | 0.547436 | + | 0.547436i | 0.925698 | − | 0.378262i | \(-0.123478\pi\) |
−0.378262 | + | 0.925698i | \(0.623478\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.742863 | − | 3.53534i | 0.0432511 | − | 0.205836i | ||||
\(296\) | − | 18.4487i | − | 1.07231i | ||||||
\(297\) | −3.22488 | − | 1.97335i | −0.187126 | − | 0.114505i | ||||
\(298\) | 0.864051 | − | 0.864051i | 0.0500531 | − | 0.0500531i | ||||
\(299\) | 6.62245 | 0.382986 | ||||||||
\(300\) | −0.712442 | + | 9.65334i | −0.0411329 | + | 0.557336i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −2.10647 | + | 2.10647i | −0.121214 | + | 0.121214i | ||||
\(303\) | −3.05605 | − | 8.62413i | −0.175566 | − | 0.495443i | ||||
\(304\) | − | 0.395338i | − | 0.0226742i | ||||||
\(305\) | −4.40412 | + | 20.9595i | −0.252179 | + | 1.20014i | ||||
\(306\) | 13.0256 | + | 16.0711i | 0.744624 | + | 0.918726i | ||||
\(307\) | 16.7040 | + | 16.7040i | 0.953350 | + | 0.953350i | 0.998959 | − | 0.0456091i | \(-0.0145229\pi\) |
−0.0456091 | + | 0.998959i | \(0.514523\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 5.41280 | − | 11.3544i | 0.307923 | − | 0.645932i | ||||
\(310\) | −0.482012 | − | 0.738464i | −0.0273764 | − | 0.0419419i | ||||
\(311\) | 15.6116i | 0.885250i | 0.896707 | + | 0.442625i | \(0.145953\pi\) | ||||
−0.896707 | + | 0.442625i | \(0.854047\pi\) | |||||||
\(312\) | −9.75271 | + | 3.45598i | −0.552139 | + | 0.195656i | ||||
\(313\) | 11.5783 | − | 11.5783i | 0.654447 | − | 0.654447i | −0.299614 | − | 0.954061i | \(-0.596858\pi\) |
0.954061 | + | 0.299614i | \(0.0968579\pi\) | |||||||
\(314\) | 4.05540 | 0.228860 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −7.49647 | −0.421709 | ||||||||
\(317\) | 17.0192 | − | 17.0192i | 0.955893 | − | 0.955893i | −0.0431749 | − | 0.999068i | \(-0.513747\pi\) |
0.999068 | + | 0.0431749i | \(0.0137473\pi\) | |||||||
\(318\) | −8.36419 | + | 2.96394i | −0.469041 | + | 0.166210i | ||||
\(319\) | − | 2.96392i | − | 0.165947i | ||||||
\(320\) | −13.2992 | − | 2.79449i | −0.743448 | − | 0.156217i | ||||
\(321\) | 13.6510 | − | 28.6357i | 0.761922 | − | 1.59829i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.98230 | + | 3.98230i | 0.221581 | + | 0.221581i | ||||
\(324\) | 9.84131 | + | 2.08299i | 0.546739 | + | 0.115722i | ||||
\(325\) | −9.50494 | + | 3.69947i | −0.527239 | + | 0.205210i | ||||
\(326\) | 8.97875i | 0.497287i | ||||||||
\(327\) | 3.65662 | + | 10.3189i | 0.202212 | + | 0.570638i | ||||
\(328\) | 9.20347 | − | 9.20347i | 0.508177 | − | 0.508177i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 1.60602 | − | 2.10406i | 0.0884085 | − | 0.115825i | ||||
\(331\) | 9.64103 | 0.529919 | 0.264960 | − | 0.964260i | \(-0.414641\pi\) | ||||
0.264960 | + | 0.964260i | \(0.414641\pi\) | |||||||
\(332\) | −2.04549 | + | 2.04549i | −0.112261 | + | 0.112261i | ||||
\(333\) | −18.7966 | − | 1.96743i | −1.03005 | − | 0.107815i | ||||
\(334\) | − | 7.33513i | − | 0.401360i | ||||||
\(335\) | −13.3827 | + | 8.73519i | −0.731176 | + | 0.477255i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.92766 | − | 1.92766i | −0.105006 | − | 0.105006i | 0.652652 | − | 0.757658i | \(-0.273656\pi\) |
−0.757658 | + | 0.652652i | \(0.773656\pi\) | |||||||
\(338\) | 5.87064 | + | 5.87064i | 0.319321 | + | 0.319321i | ||||
\(339\) | −17.6650 | − | 8.42113i | −0.959433 | − | 0.457373i | ||||
\(340\) | 15.3643 | − | 10.0286i | 0.833244 | − | 0.543877i | ||||
\(341\) | − | 0.305490i | − | 0.0165432i | ||||||
\(342\) | −2.15003 | − | 0.225042i | −0.116260 | − | 0.0121689i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −21.3652 | −1.15193 | ||||||||
\(345\) | 7.62886 | − | 9.99464i | 0.410724 | − | 0.538093i | ||||
\(346\) | 12.5671 | 0.675614 | ||||||||
\(347\) | 19.3785 | − | 19.3785i | 1.04029 | − | 1.04029i | 0.0411369 | − | 0.999154i | \(-0.486902\pi\) |
0.999154 | − | 0.0411369i | \(-0.0130980\pi\) | |||||||
\(348\) | 2.63401 | + | 7.43314i | 0.141198 | + | 0.398458i | ||||
\(349\) | − | 4.09834i | − | 0.219379i | −0.993966 | − | 0.109690i | \(-0.965014\pi\) | ||
0.993966 | − | 0.109690i | \(-0.0349857\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.48108 | + | 10.3052i | 0.132430 | + | 0.550049i | ||||
\(352\) | −2.76432 | − | 2.76432i | −0.147339 | − | 0.147339i | ||||
\(353\) | −20.8646 | − | 20.8646i | −1.11051 | − | 1.11051i | −0.993081 | − | 0.117427i | \(-0.962535\pi\) |
−0.117427 | − | 0.993081i | \(-0.537465\pi\) | |||||||
\(354\) | 1.13106 | − | 2.37262i | 0.0601150 | − | 0.126104i | ||||
\(355\) | 15.4602 | + | 3.24858i | 0.820544 | + | 0.172416i | ||||
\(356\) | 15.5356i | 0.823383i | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 8.44101 | − | 8.44101i | 0.446121 | − | 0.446121i | ||||
\(359\) | 28.7108 | 1.51530 | 0.757650 | − | 0.652661i | \(-0.226347\pi\) | ||||
0.757650 | + | 0.652661i | \(0.226347\pi\) | |||||||
\(360\) | −6.01904 | + | 18.7000i | −0.317231 | + | 0.985577i | ||||
\(361\) | 18.4115 | 0.969025 | ||||||||
\(362\) | 6.34971 | − | 6.34971i | 0.333733 | − | 0.333733i | ||||
\(363\) | −17.0941 | + | 6.05746i | −0.897206 | + | 0.317934i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 19.2885 | + | 29.5508i | 1.00961 | + | 1.54676i | ||||
\(366\) | −6.70556 | + | 14.0663i | −0.350505 | + | 0.735256i | ||||
\(367\) | 21.7212 | + | 21.7212i | 1.13384 | + | 1.13384i | 0.989534 | + | 0.144303i | \(0.0460940\pi\) |
0.144303 | + | 0.989534i | \(0.453906\pi\) | |||||||
\(368\) | 1.18299 | + | 1.18299i | 0.0616677 | + | 0.0616677i | ||||
\(369\) | −8.39553 | − | 10.3585i | −0.437054 | − | 0.539242i | ||||
\(370\) | 2.72089 | − | 12.9489i | 0.141453 | − | 0.673184i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0.271487 | + | 0.766133i | 0.0140760 | + | 0.0397222i | ||||
\(373\) | −17.1948 | + | 17.1948i | −0.890314 | + | 0.890314i | −0.994552 | − | 0.104239i | \(-0.966759\pi\) |
0.104239 | + | 0.994552i | \(0.466759\pi\) | |||||||
\(374\) | −5.01728 | −0.259437 | ||||||||
\(375\) | −5.36613 | + | 18.6066i | −0.277106 | + | 0.960839i | ||||
\(376\) | −20.5954 | −1.06213 | ||||||||
\(377\) | −5.87579 | + | 5.87579i | −0.302618 | + | 0.302618i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 8.45766i | − | 0.434441i | −0.976123 | − | 0.217220i | \(-0.930301\pi\) | ||
0.976123 | − | 0.217220i | \(-0.0696990\pi\) | |||||||
\(380\) | −0.394265 | + | 1.87634i | −0.0202254 | + | 0.0962542i | ||||
\(381\) | 2.37747 | + | 1.13337i | 0.121802 | + | 0.0580643i | ||||
\(382\) | 3.10911 | + | 3.10911i | 0.159076 | + | 0.159076i | ||||
\(383\) | −7.21296 | − | 7.21296i | −0.368565 | − | 0.368565i | 0.498389 | − | 0.866954i | \(-0.333925\pi\) |
−0.866954 | + | 0.498389i | \(0.833925\pi\) | |||||||
\(384\) | 7.87559 | + | 3.75438i | 0.401899 | + | 0.191590i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 6.75059i | − | 0.343596i | ||||||
\(387\) | −2.27845 | + | 21.7680i | −0.115820 | + | 1.10653i | ||||
\(388\) | 6.28769 | − | 6.28769i | 0.319209 | − | 0.319209i | ||||
\(389\) | −16.6619 | −0.844789 | −0.422395 | − | 0.906412i | \(-0.638810\pi\) | ||||
−0.422395 | + | 0.906412i | \(0.638810\pi\) | |||||||
\(390\) | −7.35502 | + | 0.987340i | −0.372436 | + | 0.0499959i | ||||
\(391\) | −23.8329 | −1.20528 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −6.44779 | − | 18.1956i | −0.325248 | − | 0.917844i | ||||
\(394\) | − | 5.07050i | − | 0.255448i | ||||||
\(395\) | −14.6769 | − | 3.08397i | −0.738473 | − | 0.155171i | ||||
\(396\) | −1.89537 | + | 1.53619i | −0.0952457 | + | 0.0771963i | ||||
\(397\) | −6.75888 | − | 6.75888i | −0.339219 | − | 0.339219i | 0.516855 | − | 0.856073i | \(-0.327103\pi\) |
−0.856073 | + | 0.516855i | \(0.827103\pi\) | |||||||
\(398\) | −7.80901 | − | 7.80901i | −0.391430 | − | 0.391430i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.35875 | − | 1.03705i | −0.117937 | − | 0.0518526i | ||||
\(401\) | − | 19.8574i | − | 0.991630i | −0.868428 | − | 0.495815i | \(-0.834869\pi\) | ||
0.868428 | − | 0.495815i | \(-0.165131\pi\) | |||||||
\(402\) | −10.9599 | + | 3.88376i | −0.546631 | + | 0.193704i | ||||
\(403\) | −0.605617 | + | 0.605617i | −0.0301679 | + | 0.0301679i | ||||
\(404\) | −5.90429 | −0.293749 | ||||||||
\(405\) | 18.4107 | + | 8.12677i | 0.914837 | + | 0.403822i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 3.24118 | − | 3.24118i | 0.160659 | − | 0.160659i | ||||
\(408\) | 35.0980 | − | 12.4374i | 1.73761 | − | 0.615741i | ||||
\(409\) | 26.2476i | 1.29786i | 0.760848 | + | 0.648930i | \(0.224783\pi\) | ||||
−0.760848 | + | 0.648930i | \(0.775217\pi\) | |||||||
\(410\) | 7.81718 | − | 5.10245i | 0.386063 | − | 0.251992i | ||||
\(411\) | 8.59603 | − | 18.0319i | 0.424011 | − | 0.889450i | ||||
\(412\) | −5.73963 | − | 5.73963i | −0.282771 | − | 0.282771i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 7.10705 | − | 5.76024i | 0.349293 | − | 0.283100i | ||||
\(415\) | −4.84622 | + | 3.16323i | −0.237891 | + | 0.155277i | ||||
\(416\) | 10.9602i | 0.537368i | ||||||||
\(417\) | 0.770408 | + | 2.17408i | 0.0377271 | + | 0.106465i | ||||
\(418\) | 0.370739 | − | 0.370739i | 0.0181334 | − | 0.0181334i | ||||
\(419\) | −23.9293 | −1.16902 | −0.584511 | − | 0.811386i | \(-0.698714\pi\) | ||||
−0.584511 | + | 0.811386i | \(0.698714\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −9.89428 | −0.482218 | −0.241109 | − | 0.970498i | \(-0.577511\pi\) | ||||
−0.241109 | + | 0.970498i | \(0.577511\pi\) | |||||||
\(422\) | 16.8956 | − | 16.8956i | 0.822463 | − | 0.822463i | ||||
\(423\) | −2.19636 | + | 20.9838i | −0.106791 | + | 1.02027i | ||||
\(424\) | 15.9729i | 0.775714i | ||||||||
\(425\) | 34.2064 | − | 13.3136i | 1.65925 | − | 0.645807i | ||||
\(426\) | 10.3756 | + | 4.94617i | 0.502700 | + | 0.239643i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −14.4752 | − | 14.4752i | −0.699687 | − | 0.699687i | ||||
\(429\) | −2.32058 | − | 1.10625i | −0.112039 | − | 0.0534101i | ||||
\(430\) | −14.9960 | − | 3.15102i | −0.723170 | − | 0.151956i | ||||
\(431\) | − | 32.1083i | − | 1.54660i | −0.634038 | − | 0.773302i | \(-0.718604\pi\) | ||
0.634038 | − | 0.773302i | \(-0.281396\pi\) | |||||||
\(432\) | −1.39764 | + | 2.28405i | −0.0672442 | + | 0.109892i | ||||
\(433\) | −13.5310 | + | 13.5310i | −0.650257 | + | 0.650257i | −0.953055 | − | 0.302798i | \(-0.902079\pi\) |
0.302798 | + | 0.953055i | \(0.402079\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 2.09905 | + | 15.6365i | 0.100642 | + | 0.749712i | ||||
\(436\) | 7.06460 | 0.338333 | ||||||||
\(437\) | 1.76107 | − | 1.76107i | 0.0842434 | − | 0.0842434i | ||||
\(438\) | 8.57587 | + | 24.2010i | 0.409771 | + | 1.15637i | ||||
\(439\) | 34.0049i | 1.62297i | 0.584376 | + | 0.811483i | \(0.301339\pi\) | ||||
−0.584376 | + | 0.811483i | \(0.698661\pi\) | |||||||
\(440\) | −2.60425 | − | 3.98983i | −0.124153 | − | 0.190208i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 9.94645 | + | 9.94645i | 0.473104 | + | 0.473104i | ||||
\(443\) | −18.8311 | − | 18.8311i | −0.894691 | − | 0.894691i | 0.100269 | − | 0.994960i | \(-0.468030\pi\) |
−0.994960 | + | 0.100269i | \(0.968030\pi\) | |||||||
\(444\) | −5.24807 | + | 11.0089i | −0.249063 | + | 0.522460i | ||||
\(445\) | −6.39117 | + | 30.4161i | −0.302971 | + | 1.44186i | ||||
\(446\) | − | 10.1467i | − | 0.480460i | ||||||
\(447\) | −2.12384 | + | 0.752604i | −0.100454 | + | 0.0355969i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 13.5069 | 0.637430 | 0.318715 | − | 0.947851i | \(-0.396749\pi\) | ||||
0.318715 | + | 0.947851i | \(0.396749\pi\) | |||||||
\(450\) | −6.98265 | + | 12.2376i | −0.329165 | + | 0.576887i | ||||
\(451\) | 3.23384 | 0.152276 | ||||||||
\(452\) | −8.92962 | + | 8.92962i | −0.420014 | + | 0.420014i | ||||
\(453\) | 5.17771 | − | 1.83478i | 0.243270 | − | 0.0862054i | ||||
\(454\) | 0.760603i | 0.0356969i | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −1.67445 | + | 3.51251i | −0.0784135 | + | 0.164488i | ||||
\(457\) | 9.28477 | + | 9.28477i | 0.434323 | + | 0.434323i | 0.890096 | − | 0.455773i | \(-0.150637\pi\) |
−0.455773 | + | 0.890096i | \(0.650637\pi\) | |||||||
\(458\) | 10.7505 | + | 10.7505i | 0.502340 | + | 0.502340i | ||||
\(459\) | −8.92892 | − | 37.0862i | −0.416766 | − | 1.73104i | ||||
\(460\) | −4.43489 | − | 6.79445i | −0.206778 | − | 0.316793i | ||||
\(461\) | 4.02367i | 0.187401i | 0.995600 | + | 0.0937006i | \(0.0298696\pi\) | ||||
−0.995600 | + | 0.0937006i | \(0.970130\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −12.2088 | + | 12.2088i | −0.567392 | + | 0.567392i | −0.931397 | − | 0.364005i | \(-0.881409\pi\) |
0.364005 | + | 0.931397i | \(0.381409\pi\) | |||||||
\(464\) | −2.09922 | −0.0974541 | ||||||||
\(465\) | 0.216349 | + | 1.61165i | 0.0100329 | + | 0.0747385i | ||||
\(466\) | 12.4234 | 0.575501 | ||||||||
\(467\) | −21.3279 | + | 21.3279i | −0.986936 | + | 0.986936i | −0.999916 | − | 0.0129799i | \(-0.995868\pi\) |
0.0129799 | + | 0.999916i | \(0.495868\pi\) | |||||||
\(468\) | 6.80285 | + | 0.712051i | 0.314462 | + | 0.0329146i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −14.4557 | − | 3.03750i | −0.666791 | − | 0.140109i | ||||
\(471\) | −6.75026 | − | 3.21793i | −0.311035 | − | 0.148274i | ||||
\(472\) | −3.34546 | − | 3.34546i | −0.153987 | − | 0.153987i | ||||
\(473\) | −3.75356 | − | 3.75356i | −0.172589 | − | 0.172589i | ||||
\(474\) | −9.84987 | − | 4.69555i | −0.452420 | − | 0.215674i | ||||
\(475\) | −1.54381 | + | 3.51137i | −0.0708351 | + | 0.161113i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 16.2741 | + | 1.70340i | 0.745141 | + | 0.0779935i | ||||
\(478\) | −0.0549816 | + | 0.0549816i | −0.00251480 | + | 0.00251480i | ||||
\(479\) | −12.9672 | −0.592486 | −0.296243 | − | 0.955113i | \(-0.595734\pi\) | ||||
−0.296243 | + | 0.955113i | \(0.595734\pi\) | |||||||
\(480\) | 16.5412 | + | 12.6258i | 0.754998 | + | 0.576286i | ||||
\(481\) | −12.8509 | −0.585950 | ||||||||
\(482\) | −9.64299 | + | 9.64299i | −0.439226 | + | 0.439226i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 11.7030i | 0.531955i | ||||||||
\(485\) | 14.8970 | − | 9.72357i | 0.676436 | − | 0.441525i | ||||
\(486\) | 11.6261 | + | 8.90120i | 0.527372 | + | 0.403766i | ||||
\(487\) | −20.6390 | − | 20.6390i | −0.935243 | − | 0.935243i | 0.0627838 | − | 0.998027i | \(-0.480002\pi\) |
−0.998027 | + | 0.0627838i | \(0.980002\pi\) | |||||||
\(488\) | 19.8338 | + | 19.8338i | 0.897834 | + | 0.897834i | ||||
\(489\) | 7.12455 | − | 14.9452i | 0.322183 | − | 0.675846i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 17.3154i | 0.781432i | 0.920511 | + | 0.390716i | \(0.127773\pi\) | ||||
−0.920511 | + | 0.390716i | \(0.872227\pi\) | |||||||
\(492\) | −8.11008 | + | 2.87389i | −0.365631 | + | 0.129565i | ||||
\(493\) | 21.1458 | − | 21.1458i | 0.952358 | − | 0.952358i | ||||
\(494\) | −1.46994 | −0.0661355 | ||||||||
\(495\) | −4.34279 | + | 2.22787i | −0.195194 | + | 0.100135i | ||||
\(496\) | −0.216367 | −0.00971516 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −3.96886 | + | 1.40641i | −0.177849 | + | 0.0630227i | ||||
\(499\) | − | 16.8372i | − | 0.753736i | −0.926267 | − | 0.376868i | \(-0.877001\pi\) | ||
0.926267 | − | 0.376868i | \(-0.122999\pi\) | |||||||
\(500\) | 10.1608 | + | 7.27436i | 0.454404 | + | 0.325319i | ||||
\(501\) | −5.82036 | + | 12.2094i | −0.260034 | + | 0.545475i | ||||
\(502\) | 10.8977 | + | 10.8977i | 0.486387 | + | 0.486387i | ||||
\(503\) | −2.89757 | − | 2.89757i | −0.129196 | − | 0.129196i | 0.639552 | − | 0.768748i | \(-0.279120\pi\) |
−0.768748 | + | 0.639552i | \(0.779120\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −11.5596 | − | 2.42897i | −0.514397 | − | 0.108088i | ||||
\(506\) | 2.21876i | 0.0986361i | ||||||||
\(507\) | −5.11344 | − | 14.4300i | −0.227096 | − | 0.640861i | ||||
\(508\) | 1.20181 | − | 1.20181i | 0.0533215 | − | 0.0533215i | ||||
\(509\) | −3.45896 | −0.153316 | −0.0766579 | − | 0.997057i | \(-0.524425\pi\) | ||||
−0.0766579 | + | 0.997057i | \(0.524425\pi\) | |||||||
\(510\) | 26.4692 | − | 3.55324i | 1.17208 | − | 0.157340i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −4.09210 | + | 4.09210i | −0.180847 | + | 0.180847i | ||||
\(513\) | 3.40017 | + | 2.08061i | 0.150121 | + | 0.0918613i | ||||
\(514\) | 1.29464i | 0.0571040i | ||||||||
\(515\) | −8.87604 | − | 13.5985i | −0.391125 | − | 0.599221i | ||||
\(516\) | 12.7492 | + | 6.07771i | 0.561254 | + | 0.267556i | ||||
\(517\) | −3.61832 | − | 3.61832i | −0.159134 | − | 0.159134i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −20.9181 | − | 9.97191i | −0.918204 | − | 0.437718i | ||||
\(520\) | −2.74683 | + | 13.0724i | −0.120456 | + | 0.573261i | ||||
\(521\) | − | 36.1277i | − | 1.58278i | −0.611309 | − | 0.791392i | \(-0.709357\pi\) | ||
0.611309 | − | 0.791392i | \(-0.290643\pi\) | |||||||
\(522\) | −1.19496 | + | 11.4165i | −0.0523021 | + | 0.499688i | ||||
\(523\) | −3.45218 | + | 3.45218i | −0.150953 | + | 0.150953i | −0.778544 | − | 0.627590i | \(-0.784041\pi\) |
0.627590 | + | 0.778544i | \(0.284041\pi\) | |||||||
\(524\) | −12.4571 | −0.544192 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −18.6042 | −0.811181 | ||||||||
\(527\) | 2.17949 | − | 2.17949i | 0.0949402 | − | 0.0949402i | ||||
\(528\) | −0.216920 | − | 0.612146i | −0.00944025 | − | 0.0266402i | ||||
\(529\) | − | 12.4605i | − | 0.541761i | ||||||
\(530\) | −2.35576 | + | 11.2112i | −0.102327 | + | 0.486984i | ||||
\(531\) | −3.76531 | + | 3.05177i | −0.163401 | + | 0.132436i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −6.41090 | − | 6.41090i | −0.277687 | − | 0.277687i | ||||
\(534\) | −9.73098 | + | 20.4127i | −0.421101 | + | 0.883345i | ||||
\(535\) | −22.3852 | − | 34.2951i | −0.967796 | − | 1.48271i | ||||
\(536\) | 20.9299i | 0.904036i | ||||||||
\(537\) | −20.7480 | + | 7.35227i | −0.895342 | + | 0.317274i | ||||
\(538\) | −1.10951 | + | 1.10951i | −0.0478343 | + | 0.0478343i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 8.91130 | − | 9.44664i | 0.383481 | − | 0.406519i | ||||
\(541\) | −32.2565 | −1.38682 | −0.693408 | − | 0.720545i | \(-0.743892\pi\) | ||||
−0.693408 | + | 0.720545i | \(0.743892\pi\) | |||||||
\(542\) | −0.859115 | + | 0.859115i | −0.0369021 | + | 0.0369021i | ||||
\(543\) | −15.6076 | + | 5.53071i | −0.669785 | + | 0.237346i | ||||
\(544\) | − | 39.4435i | − | 1.69113i | ||||||
\(545\) | 13.8313 | + | 2.90630i | 0.592469 | + | 0.124492i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 21.2554 | + | 21.2554i | 0.908817 | + | 0.908817i | 0.996177 | − | 0.0873598i | \(-0.0278430\pi\) |
−0.0873598 | + | 0.996177i | \(0.527843\pi\) | |||||||
\(548\) | −9.11508 | − | 9.11508i | −0.389377 | − | 0.389377i | ||||
\(549\) | 22.3229 | − | 18.0927i | 0.952720 | − | 0.772176i | ||||
\(550\) | −1.23946 | − | 3.18450i | −0.0528506 | − | 0.135788i | ||||
\(551\) | 3.12503i | 0.133131i | ||||||||
\(552\) | −5.50011 | − | 15.5212i | −0.234100 | − | 0.660627i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 10.9971 | 0.467222 | ||||||||
\(555\) | −14.8038 | + | 19.3946i | −0.628387 | + | 0.823256i | ||||
\(556\) | 1.48843 | 0.0631234 | ||||||||
\(557\) | −5.40210 | + | 5.40210i | −0.228894 | + | 0.228894i | −0.812231 | − | 0.583336i | \(-0.801747\pi\) |
0.583336 | + | 0.812231i | \(0.301747\pi\) | |||||||
\(558\) | −0.123165 | + | 1.17670i | −0.00521398 | + | 0.0498137i | ||||
\(559\) | 14.8824i | 0.629459i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 8.35130 | + | 3.98116i | 0.352592 | + | 0.168085i | ||||
\(562\) | −9.49924 | − | 9.49924i | −0.400701 | − | 0.400701i | ||||
\(563\) | −4.62764 | − | 4.62764i | −0.195032 | − | 0.195032i | 0.602834 | − | 0.797866i | \(-0.294038\pi\) |
−0.797866 | + | 0.602834i | \(0.794038\pi\) | |||||||
\(564\) | 12.2899 | + | 5.85874i | 0.517498 | + | 0.246697i | ||||
\(565\) | −21.1563 | + | 13.8092i | −0.890052 | + | 0.580956i | ||||
\(566\) | 9.81251i | 0.412450i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 14.6298 | − | 14.6298i | 0.613855 | − | 0.613855i | ||||
\(569\) | −20.1555 | −0.844961 | −0.422481 | − | 0.906372i | \(-0.638841\pi\) | ||||
−0.422481 | + | 0.906372i | \(0.638841\pi\) | |||||||
\(570\) | −1.69332 | + | 2.21843i | −0.0709253 | + | 0.0929200i | ||||
\(571\) | −17.8948 | −0.748875 | −0.374438 | − | 0.927252i | \(-0.622164\pi\) | ||||
−0.374438 | + | 0.927252i | \(0.622164\pi\) | |||||||
\(572\) | −1.17305 | + | 1.17305i | −0.0490475 | + | 0.0490475i | ||||
\(573\) | −2.70809 | − | 7.64219i | −0.113132 | − | 0.319257i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −5.88762 | − | 15.1269i | −0.245531 | − | 0.630835i | ||||
\(576\) | 11.4801 | + | 14.1643i | 0.478338 | + | 0.590179i | ||||
\(577\) | −10.0907 | − | 10.0907i | −0.420083 | − | 0.420083i | 0.465149 | − | 0.885232i | \(-0.346001\pi\) |
−0.885232 | + | 0.465149i | \(0.846001\pi\) | |||||||
\(578\) | −24.5040 | − | 24.5040i | −1.01923 | − | 1.01923i | ||||
\(579\) | −5.35653 | + | 11.2364i | −0.222610 | + | 0.466970i | ||||
\(580\) | 9.96326 | + | 2.09353i | 0.413702 | + | 0.0869290i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 12.2000 | − | 4.32321i | 0.505707 | − | 0.179203i | ||||
\(583\) | −2.80622 | + | 2.80622i | −0.116222 | + | 0.116222i | ||||
\(584\) | 46.2161 | 1.91244 | ||||||||
\(585\) | 13.0259 | + | 4.19270i | 0.538556 | + | 0.173347i | ||||
\(586\) | 12.4477 | 0.514210 | ||||||||
\(587\) | 3.21441 | − | 3.21441i | 0.132673 | − | 0.132673i | −0.637652 | − | 0.770325i | \(-0.720094\pi\) |
0.770325 | + | 0.637652i | \(0.220094\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.322096i | 0.0132717i | ||||||||
\(590\) | −1.85474 | − | 2.84154i | −0.0763583 | − | 0.116984i | ||||
\(591\) | −4.02339 | + | 8.43988i | −0.165500 | + | 0.347170i | ||||
\(592\) | −2.29560 | − | 2.29560i | −0.0943486 | − | 0.0943486i | ||||
\(593\) | −27.8846 | − | 27.8846i | −1.14508 | − | 1.14508i | −0.987507 | − | 0.157577i | \(-0.949632\pi\) |
−0.157577 | − | 0.987507i | \(-0.550368\pi\) | |||||||
\(594\) | −3.45261 | + | 0.831254i | −0.141662 | + | 0.0341068i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 1.45403i | 0.0595594i | ||||||||
\(597\) | 6.80179 | + | 19.1945i | 0.278379 | + | 0.785580i | ||||
\(598\) | 4.39857 | − | 4.39857i | 0.179871 | − | 0.179871i | ||||
\(599\) | 45.3240 | 1.85189 | 0.925945 | − | 0.377658i | \(-0.123271\pi\) | ||||
0.925945 | + | 0.377658i | \(0.123271\pi\) | |||||||
\(600\) | 16.5646 | + | 19.2045i | 0.676248 | + | 0.784020i | ||||
\(601\) | 10.2265 | 0.417148 | 0.208574 | − | 0.978007i | \(-0.433118\pi\) | ||||
0.208574 | + | 0.978007i | \(0.433118\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 21.3246 | + | 2.23204i | 0.868405 | + | 0.0908955i | ||||
\(604\) | − | 3.54479i | − | 0.144235i | ||||||
\(605\) | −4.81450 | + | 22.9126i | −0.195737 | + | 0.931530i | ||||
\(606\) | −7.75786 | − | 3.69826i | −0.315141 | − | 0.150232i | ||||
\(607\) | −24.8851 | − | 24.8851i | −1.01005 | − | 1.01005i | −0.999949 | − | 0.0101048i | \(-0.996783\pi\) |
−0.0101048 | − | 0.999949i | \(-0.503217\pi\) | |||||||
\(608\) | 2.91458 | + | 2.91458i | 0.118202 | + | 0.118202i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 10.9959 | + | 16.8463i | 0.445213 | + | 0.682086i | ||||
\(611\) | 14.3462i | 0.580386i | ||||||||
\(612\) | −24.4821 | − | 2.56253i | −0.989630 | − | 0.103584i | ||||
\(613\) | −3.65701 | + | 3.65701i | −0.147705 | + | 0.147705i | −0.777092 | − | 0.629387i | \(-0.783306\pi\) |
0.629387 | + | 0.777092i | \(0.283306\pi\) | |||||||
\(614\) | 22.1893 | 0.895488 | ||||||||
\(615\) | −17.0605 | + | 2.29021i | −0.687946 | + | 0.0923501i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 21.2024 | − | 21.2024i | 0.853575 | − | 0.853575i | −0.136996 | − | 0.990572i | \(-0.543745\pi\) |
0.990572 | + | 0.136996i | \(0.0437449\pi\) | |||||||
\(618\) | −3.94638 | − | 11.1366i | −0.158747 | − | 0.447981i | ||||
\(619\) | 14.7683i | 0.593588i | 0.954941 | + | 0.296794i | \(0.0959175\pi\) | ||||
−0.954941 | + | 0.296794i | \(0.904082\pi\) | |||||||
\(620\) | 1.02691 | + | 0.215780i | 0.0412418 | + | 0.00866592i | ||||
\(621\) | −16.4005 | + | 3.94859i | −0.658128 | + | 0.158452i | ||||
\(622\) | 10.3690 | + | 10.3690i | 0.415761 | + | 0.415761i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −0.783512 | + | 1.64358i | −0.0313656 | + | 0.0657957i | ||||
\(625\) | 16.9005 | + | 18.4221i | 0.676021 | + | 0.736882i | ||||
\(626\) | − | 15.3804i | − | 0.614726i | ||||||
\(627\) | −0.911276 | + | 0.322920i | −0.0363929 | + | 0.0128962i | ||||
\(628\) | −3.41223 | + | 3.41223i | −0.136163 | + | 0.136163i | ||||
\(629\) | 46.2478 | 1.84402 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −34.8644 | −1.38793 | −0.693965 | − | 0.720009i | \(-0.744138\pi\) | ||||
−0.693965 | + | 0.720009i | \(0.744138\pi\) | |||||||
\(632\) | −13.8886 | + | 13.8886i | −0.552457 | + | 0.552457i | ||||
\(633\) | −41.5293 | + | 14.7163i | −1.65064 | + | 0.584922i | ||||
\(634\) | − | 22.6079i | − | 0.897876i | ||||||
\(635\) | 2.84735 | − | 1.85853i | 0.112994 | − | 0.0737534i | ||||
\(636\) | 4.54379 | − | 9.53153i | 0.180173 | − | 0.377950i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −1.96860 | − | 1.96860i | −0.0779377 | − | 0.0779377i | ||||
\(639\) | −13.3455 | − | 16.4659i | −0.527942 | − | 0.651381i | ||||
\(640\) | 9.43208 | − | 6.15653i | 0.372836 | − | 0.243358i | ||||
\(641\) | − | 36.4711i | − | 1.44052i | −0.693704 | − | 0.720260i | \(-0.744022\pi\) | ||
0.693704 | − | 0.720260i | \(-0.255978\pi\) | |||||||
\(642\) | −9.95270 | − | 28.0864i | −0.392802 | − | 1.10848i | ||||
\(643\) | 23.1512 | − | 23.1512i | 0.912995 | − | 0.912995i | −0.0835116 | − | 0.996507i | \(-0.526614\pi\) |
0.996507 | + | 0.0835116i | \(0.0266136\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 22.4606 | + | 17.1441i | 0.884386 | + | 0.675047i | ||||
\(646\) | 5.29000 | 0.208132 | ||||||||
\(647\) | 7.56272 | − | 7.56272i | 0.297321 | − | 0.297321i | −0.542643 | − | 0.839964i | \(-0.682576\pi\) |
0.839964 | + | 0.542643i | \(0.182576\pi\) | |||||||
\(648\) | 22.0919 | − | 14.3737i | 0.867852 | − | 0.564652i | ||||
\(649\) | − | 1.17550i | − | 0.0461424i | ||||||
\(650\) | −3.85594 | + | 8.77024i | −0.151242 | + | 0.343997i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −7.55475 | − | 7.55475i | −0.295867 | − | 0.295867i | ||||
\(653\) | −0.532557 | − | 0.532557i | −0.0208406 | − | 0.0208406i | 0.696610 | − | 0.717450i | \(-0.254691\pi\) |
−0.717450 | + | 0.696610i | \(0.754691\pi\) | |||||||
\(654\) | 9.28242 | + | 4.42504i | 0.362971 | + | 0.173033i | ||||
\(655\) | −24.3890 | − | 5.12473i | −0.952958 | − | 0.200240i | ||||
\(656\) | − | 2.29040i | − | 0.0894252i | ||||||
\(657\) | 4.92864 | − | 47.0876i | 0.192284 | − | 1.83706i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −7.95212 | −0.309771 | −0.154885 | − | 0.987932i | \(-0.549501\pi\) | ||||
−0.154885 | + | 0.987932i | \(0.549501\pi\) | |||||||
\(660\) | 0.419055 | + | 3.12168i | 0.0163117 | + | 0.121511i | ||||
\(661\) | 22.6181 | 0.879740 | 0.439870 | − | 0.898061i | \(-0.355024\pi\) | ||||
0.439870 | + | 0.898061i | \(0.355024\pi\) | |||||||
\(662\) | 6.40348 | − | 6.40348i | 0.248878 | − | 0.248878i | ||||
\(663\) | −8.66354 | − | 24.4484i | −0.336464 | − | 0.949496i | ||||
\(664\) | 7.57926i | 0.294132i | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −13.7913 | + | 11.1778i | −0.534401 | + | 0.433130i | ||||
\(667\) | −9.35119 | − | 9.35119i | −0.362079 | − | 0.362079i | ||||
\(668\) | 6.17180 | + | 6.17180i | 0.238794 | + | 0.238794i | ||||
\(669\) | −8.05131 | + | 16.8893i | −0.311282 | + | 0.652977i | ||||
\(670\) | −3.08683 | + | 14.6905i | −0.119255 | + | 0.567543i | ||||
\(671\) | 6.96903i | 0.269037i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 19.5657 | − | 19.5657i | 0.754203 | − | 0.754203i | −0.221058 | − | 0.975261i | \(-0.570951\pi\) |
0.975261 | + | 0.221058i | \(0.0709509\pi\) | |||||||
\(674\) | −2.56066 | −0.0986330 | ||||||||
\(675\) | 21.3331 | − | 14.8290i | 0.821112 | − | 0.570767i | ||||
\(676\) | −9.87916 | −0.379968 | ||||||||
\(677\) | 30.4056 | − | 30.4056i | 1.16858 | − | 1.16858i | 0.186042 | − | 0.982542i | \(-0.440434\pi\) |
0.982542 | − | 0.186042i | \(-0.0595661\pi\) | |||||||
\(678\) | −17.3262 | + | 6.13971i | −0.665408 | + | 0.235794i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 9.88528 | − | 47.0448i | 0.379083 | − | 1.80409i | ||||
\(681\) | 0.603532 | − | 1.26603i | 0.0231274 | − | 0.0485144i | ||||
\(682\) | −0.202904 | − | 0.202904i | −0.00776958 | − | 0.00776958i | ||||
\(683\) | 29.8151 | + | 29.8151i | 1.14084 | + | 1.14084i | 0.988296 | + | 0.152547i | \(0.0487475\pi\) |
0.152547 | + | 0.988296i | \(0.451253\pi\) | |||||||
\(684\) | 1.99839 | − | 1.61969i | 0.0764105 | − | 0.0619304i | ||||
\(685\) | −14.0960 | − | 21.5957i | −0.538580 | − | 0.825129i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −9.36392 | − | 26.4248i | −0.357256 | − | 1.00817i | ||||
\(688\) | −2.65850 | + | 2.65850i | −0.101354 | + | 0.101354i | ||||
\(689\) | 11.1263 | 0.423879 | ||||||||
\(690\) | −1.57133 | − | 11.7054i | −0.0598195 | − | 0.445615i | ||||
\(691\) | 7.56479 | 0.287778 | 0.143889 | − | 0.989594i | \(-0.454039\pi\) | ||||
0.143889 | + | 0.989594i | \(0.454039\pi\) | |||||||
\(692\) | −10.5740 | + | 10.5740i | −0.401965 | + | 0.401965i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 25.7420i | − | 0.977151i | ||||||
\(695\) | 2.91410 | + | 0.612325i | 0.110538 | + | 0.0232268i | ||||
\(696\) | 18.6512 | + | 8.89126i | 0.706973 | + | 0.337022i | ||||
\(697\) | 23.0715 | + | 23.0715i | 0.873896 | + | 0.873896i | ||||
\(698\) | −2.72208 | − | 2.72208i | −0.103032 | − | 0.103032i | ||||
\(699\) | −20.6788 | − | 9.85782i | −0.782143 | − | 0.372857i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 39.5039i | 1.49204i | 0.665923 | + | 0.746020i | \(0.268038\pi\) | ||||
−0.665923 | + | 0.746020i | \(0.731962\pi\) | |||||||
\(702\) | 8.49250 | + | 5.19668i | 0.320529 | + | 0.196136i | ||||
\(703\) | −3.41736 | + | 3.41736i | −0.128888 | + | 0.128888i | ||||
\(704\) | −4.42198 | −0.166660 | ||||||||
\(705\) | 21.6514 | + | 16.5264i | 0.815439 | + | 0.622420i | ||||
\(706\) | −27.7161 | −1.04311 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 1.04466 | + | 2.94801i | 0.0392607 | + | 0.110793i | ||||
\(709\) | 20.6034i | 0.773778i | 0.922126 | + | 0.386889i | \(0.126450\pi\) | ||||
−0.922126 | + | 0.386889i | \(0.873550\pi\) | |||||||
\(710\) | 12.4262 | − | 8.11086i | 0.466347 | − | 0.304395i | ||||
\(711\) | 12.6693 | + | 15.6316i | 0.475137 | + | 0.586230i | ||||
\(712\) | 28.7824 | + | 28.7824i | 1.07867 | + | 1.07867i | ||||
\(713\) | −0.963825 | − | 0.963825i | −0.0360955 | − | 0.0360955i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.77921 | + | 1.81405i | −0.103937 | + | 0.0678417i | ||||
\(716\) | 14.2046i | 0.530851i | ||||||||
\(717\) | 0.135145 | − | 0.0478900i | 0.00504707 | − | 0.00178848i | ||||
\(718\) | 19.0695 | − | 19.0695i | 0.711666 | − | 0.711666i | ||||
\(719\) | −7.06201 | −0.263369 | −0.131684 | − | 0.991292i | \(-0.542039\pi\) | ||||
−0.131684 | + | 0.991292i | \(0.542039\pi\) | |||||||
\(720\) | 1.57791 | + | 3.07583i | 0.0588053 | + | 0.114629i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 12.2287 | − | 12.2287i | 0.455106 | − | 0.455106i | ||||
\(723\) | 23.7025 | − | 8.39922i | 0.881504 | − | 0.312370i | ||||
\(724\) | 10.6853i | 0.397117i | ||||||||
\(725\) | 18.6452 | + | 8.19757i | 0.692465 | + | 0.304450i | ||||
\(726\) | −7.33040 | + | 15.3770i | −0.272057 | + | 0.570695i | ||||
\(727\) | 8.73967 | + | 8.73967i | 0.324136 | + | 0.324136i | 0.850351 | − | 0.526215i | \(-0.176389\pi\) |
−0.526215 | + | 0.850351i | \(0.676389\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −12.2888 | − | 24.0413i | −0.455140 | − | 0.890420i | ||||
\(730\) | 32.4386 | + | 6.81615i | 1.20061 | + | 0.252277i | ||||
\(731\) | − | 53.5588i | − | 1.98094i | ||||||
\(732\) | −6.19334 | − | 17.4775i | −0.228912 | − | 0.645987i | ||||
\(733\) | 28.4005 | − | 28.4005i | 1.04900 | − | 1.04900i | 0.0502604 | − | 0.998736i | \(-0.483995\pi\) |
0.998736 | − | 0.0502604i | \(-0.0160051\pi\) | |||||||
\(734\) | 28.8540 | 1.06502 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −17.4429 | −0.642954 | ||||||||
\(737\) | −3.67709 | + | 3.67709i | −0.135448 | + | 0.135448i | ||||
\(738\) | −12.4562 | − | 1.30379i | −0.458521 | − | 0.0479931i | ||||
\(739\) | 22.1360i | 0.814285i | 0.913365 | + | 0.407143i | \(0.133475\pi\) | ||||
−0.913365 | + | 0.407143i | \(0.866525\pi\) | |||||||
\(740\) | 8.60592 | + | 13.1847i | 0.316360 | + | 0.484678i | ||||
\(741\) | 2.44672 | + | 1.16638i | 0.0898825 | + | 0.0428481i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 24.6420 | + | 24.6420i | 0.904028 | + | 0.904028i | 0.995782 | − | 0.0917535i | \(-0.0292472\pi\) |
−0.0917535 | + | 0.995782i | \(0.529247\pi\) | |||||||
\(744\) | 1.92238 | + | 0.916421i | 0.0704778 | + | 0.0335976i | ||||
\(745\) | −0.598174 | + | 2.84675i | −0.0219154 | + | 0.104297i | ||||
\(746\) | 22.8412i | 0.836277i | ||||||||
\(747\) | 7.72218 | + | 0.808277i | 0.282540 | + | 0.0295733i | ||||
\(748\) | 4.22155 | − | 4.22155i | 0.154355 | − | 0.154355i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 8.79417 | + | 15.9224i | 0.321118 | + | 0.581405i | ||||
\(751\) | 17.9964 | 0.656697 | 0.328349 | − | 0.944557i | \(-0.393508\pi\) | ||||
0.328349 | + | 0.944557i | \(0.393508\pi\) | |||||||
\(752\) | −2.56272 | + | 2.56272i | −0.0934526 | + | 0.0934526i | ||||
\(753\) | −9.49207 | − | 26.7865i | −0.345910 | − | 0.976153i | ||||
\(754\) | 7.80528i | 0.284251i | ||||||||
\(755\) | 1.45829 | − | 6.94012i | 0.0530726 | − | 0.252577i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 22.1895 | + | 22.1895i | 0.806492 | + | 0.806492i | 0.984101 | − | 0.177609i | \(-0.0568362\pi\) |
−0.177609 | + | 0.984101i | \(0.556836\pi\) | |||||||
\(758\) | −5.61749 | − | 5.61749i | −0.204036 | − | 0.204036i | ||||
\(759\) | 1.76057 | − | 3.69315i | 0.0639046 | − | 0.134053i | ||||
\(760\) | 2.74581 | + | 4.20671i | 0.0996010 | + | 0.152593i | ||||
\(761\) | − | 22.5250i | − | 0.816530i | −0.912864 | − | 0.408265i | \(-0.866134\pi\) | ||
0.912864 | − | 0.408265i | \(-0.133866\pi\) | |||||||
\(762\) | 2.33187 | − | 0.826322i | 0.0844746 | − | 0.0299345i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −5.23203 | −0.189288 | ||||||||
\(765\) | −46.8777 | − | 15.0887i | −1.69487 | − | 0.545533i | ||||
\(766\) | −9.58155 | −0.346195 | ||||||||
\(767\) | −2.33036 | + | 2.33036i | −0.0841443 | + | 0.0841443i | ||||
\(768\) | 27.5684 | − | 9.76915i | 0.994789 | − | 0.352514i | ||||
\(769\) | − | 26.8027i | − | 0.966531i | −0.875474 | − | 0.483265i | \(-0.839451\pi\) | ||
0.875474 | − | 0.483265i | \(-0.160549\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 1.02728 | − | 2.15494i | 0.0369967 | − | 0.0776082i | ||||
\(772\) | 5.67997 | + | 5.67997i | 0.204427 | + | 0.204427i | ||||
\(773\) | 17.0187 | + | 17.0187i | 0.612121 | + | 0.612121i | 0.943498 | − | 0.331377i | \(-0.107513\pi\) |
−0.331377 | + | 0.943498i | \(0.607513\pi\) | |||||||
\(774\) | 12.9448 | + | 15.9714i | 0.465291 | + | 0.574082i | ||||
\(775\) | 1.92176 | + | 0.844922i | 0.0690315 | + | 0.0303505i | ||||
\(776\) | − | 23.2981i | − | 0.836355i | ||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −11.0666 | + | 11.0666i | −0.396758 | + | 0.396758i | ||||
\(779\) | −3.40962 | −0.122162 | ||||||||
\(780\) | 5.35779 | − | 7.01929i | 0.191840 | − | 0.251331i | ||||
\(781\) | 5.14052 | 0.183942 | ||||||||
\(782\) | −15.8296 | + | 15.8296i | −0.566064 | + | 0.566064i | ||||
\(783\) | 11.0479 | − | 18.0547i | 0.394821 | − | 0.645224i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −8.08435 | + | 5.27683i | −0.288543 | + | 0.188338i | ||||
\(786\) | −16.3679 | − | 7.80275i | −0.583822 | − | 0.278315i | ||||
\(787\) | −18.7878 | − | 18.7878i | −0.669712 | − | 0.669712i | 0.287937 | − | 0.957649i | \(-0.407031\pi\) |
−0.957649 | + | 0.287937i | \(0.907031\pi\) | |||||||
\(788\) | 4.26633 | + | 4.26633i | 0.151982 | + | 0.151982i | ||||
\(789\) | 30.9668 | + | 14.7622i | 1.10245 | + | 0.525550i | ||||
\(790\) | −11.7966 | + | 7.69988i | −0.419703 | + | 0.273949i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −0.665444 | + | 6.35757i | −0.0236455 | + | 0.225906i | ||||
\(793\) | 13.8157 | − | 13.8157i | 0.490610 | − | 0.490610i | ||||
\(794\) | −8.97836 | −0.318630 | ||||||||
\(795\) | 12.8172 | − | 16.7919i | 0.454578 | − | 0.595548i | ||||
\(796\) | 13.1411 | 0.465772 | ||||||||
\(797\) | 19.6457 | − | 19.6457i | 0.695888 | − | 0.695888i | −0.267633 | − | 0.963521i | \(-0.586241\pi\) |
0.963521 | + | 0.267633i | \(0.0862415\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 51.6292i | − | 1.82651i | ||||||
\(800\) | 25.0351 | − | 9.74404i | 0.885124 | − | 0.344504i | ||||
\(801\) | 32.3946 | − | 26.2557i | 1.14461 | − | 0.927700i | ||||
\(802\) | −13.1891 | − | 13.1891i | −0.465722 | − | 0.465722i | ||||
\(803\) | 8.11952 | + | 8.11952i | 0.286532 | + | 0.286532i | ||||
\(804\) | 5.95390 | − | 12.4895i | 0.209978 | − | 0.440472i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0.804489i | 0.0283369i | ||||||||
\(807\) | 2.72717 | − | 0.966403i | 0.0960010 | − | 0.0340190i | ||||
\(808\) | −10.9388 | + | 10.9388i | −0.384824 | + | 0.384824i | ||||
\(809\) | −38.5460 | −1.35521 | −0.677603 | − | 0.735428i | \(-0.736981\pi\) | ||||
−0.677603 | + | 0.735428i | \(0.736981\pi\) | |||||||
\(810\) | 17.6260 | − | 6.83052i | 0.619313 | − | 0.240000i | ||||
\(811\) | −26.0551 | −0.914919 | −0.457460 | − | 0.889230i | \(-0.651241\pi\) | ||||
−0.457460 | + | 0.889230i | \(0.651241\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 2.11170 | − | 0.748305i | 0.0740607 | − | 0.0262442i | ||||
\(814\) | − | 4.30552i | − | 0.150908i | ||||||
\(815\) | −11.6830 | − | 17.8989i | −0.409238 | − | 0.626972i | ||||
\(816\) | 2.81970 | − | 5.91490i | 0.0987093 | − | 0.207063i | ||||
\(817\) | 3.95759 | + | 3.95759i | 0.138459 | + | 0.138459i | ||||
\(818\) | 17.4334 | + | 17.4334i | 0.609544 | + | 0.609544i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −2.28419 | + | 10.8706i | −0.0797672 | + | 0.379618i | ||||
\(821\) | 13.6280i | 0.475620i | 0.971312 | + | 0.237810i | \(0.0764296\pi\) | ||||
−0.971312 | + | 0.237810i | \(0.923570\pi\) | |||||||
\(822\) | −6.26723 | − | 17.6860i | −0.218595 | − | 0.616871i | ||||
\(823\) | 22.3734 | − | 22.3734i | 0.779887 | − | 0.779887i | −0.199924 | − | 0.979811i | \(-0.564070\pi\) |
0.979811 | + | 0.199924i | \(0.0640695\pi\) | |||||||
\(824\) | −21.2674 | −0.740885 | ||||||||
\(825\) | −0.463785 | + | 6.28413i | −0.0161469 | + | 0.218785i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −0.690034 | + | 0.690034i | −0.0239948 | + | 0.0239948i | −0.719002 | − | 0.695008i | \(-0.755401\pi\) |
0.695008 | + | 0.719002i | \(0.255401\pi\) | |||||||
\(828\) | −1.13321 | + | 10.8266i | −0.0393819 | + | 0.376250i | ||||
\(829\) | 14.1799i | 0.492489i | 0.969208 | + | 0.246244i | \(0.0791966\pi\) | ||||
−0.969208 | + | 0.246244i | \(0.920803\pi\) | |||||||
\(830\) | −1.11782 | + | 5.31980i | −0.0388001 | + | 0.184653i | ||||
\(831\) | −18.3048 | − | 8.72610i | −0.634986 | − | 0.302705i | ||||
\(832\) | 8.76631 | + | 8.76631i | 0.303917 | + | 0.303917i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 1.95570 | + | 0.932305i | 0.0677203 | + | 0.0322831i | ||||
\(835\) | 9.54437 | + | 14.6224i | 0.330296 | + | 0.506029i | ||||
\(836\) | 0.623882i | 0.0215774i | ||||||||
\(837\) | 1.13871 | − | 1.86090i | 0.0393596 | − | 0.0643221i | ||||
\(838\) | −15.8936 | + | 15.8936i | −0.549035 | + | 0.549035i | ||||
\(839\) | −57.1107 | −1.97168 | −0.985840 | − | 0.167690i | \(-0.946369\pi\) | ||||
−0.985840 | + | 0.167690i | \(0.946369\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −12.4063 | −0.427803 | ||||||||
\(842\) | −6.57168 | + | 6.57168i | −0.226475 | + | 0.226475i | ||||
\(843\) | 8.27401 | + | 23.3491i | 0.284972 | + | 0.804187i | ||||
\(844\) | 28.4320i | 0.978668i | ||||||||
\(845\) | −19.3418 | − | 4.06419i | −0.665378 | − | 0.139812i | ||||
\(846\) | 12.4784 | + | 15.3960i | 0.429017 | + | 0.529326i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 1.98753 | + | 1.98753i | 0.0682522 | + | 0.0682522i | ||||
\(849\) | 7.78613 | − | 16.3330i | 0.267219 | − | 0.560547i | ||||
\(850\) | 13.8767 | − | 31.5623i | 0.475968 | − | 1.08258i | ||||
\(851\) | − | 20.4519i | − | 0.701083i | ||||||
\(852\) | −12.8918 | + | 4.56834i | −0.441666 | + | 0.156509i | ||||
\(853\) | 27.4480 | − | 27.4480i | 0.939802 | − | 0.939802i | −0.0584858 | − | 0.998288i | \(-0.518627\pi\) |
0.998288 | + | 0.0584858i | \(0.0186272\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 4.57885 | − | 2.34897i | 0.156593 | − | 0.0803331i | ||||
\(856\) | −53.6360 | −1.83324 | ||||||||
\(857\) | −12.1705 | + | 12.1705i | −0.415735 | + | 0.415735i | −0.883731 | − | 0.467996i | \(-0.844976\pi\) |
0.467996 | + | 0.883731i | \(0.344976\pi\) | |||||||
\(858\) | −2.27606 | + | 0.806547i | −0.0777035 | + | 0.0275351i | ||||
\(859\) | − | 17.1330i | − | 0.584569i | −0.956331 | − | 0.292285i | \(-0.905585\pi\) | ||
0.956331 | − | 0.292285i | \(-0.0944155\pi\) | |||||||
\(860\) | 15.2689 | − | 9.96638i | 0.520667 | − | 0.339851i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −21.3260 | − | 21.3260i | −0.726367 | − | 0.726367i | ||||
\(863\) | −10.7235 | − | 10.7235i | −0.365033 | − | 0.365033i | 0.500629 | − | 0.865662i | \(-0.333102\pi\) |
−0.865662 | + | 0.500629i | \(0.833102\pi\) | |||||||
\(864\) | −6.53494 | − | 27.1428i | −0.222323 | − | 0.923418i | ||||
\(865\) | −25.0523 | + | 16.3522i | −0.851803 | + | 0.555991i | ||||
\(866\) | 17.9743i | 0.610790i | ||||||||
\(867\) | 21.3435 | + | 60.2309i | 0.724862 | + | 2.04555i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −4.88005 | −0.165544 | ||||||||
\(870\) | 11.7798 | + | 8.99143i | 0.399371 | + | 0.304838i | ||||
\(871\) | 14.5792 | 0.493999 | ||||||||
\(872\) | 13.0884 | − | 13.0884i | 0.443230 | − | 0.443230i | ||||
\(873\) | −23.7375 | − | 2.48459i | −0.803392 | − | 0.0840906i | ||||
\(874\) | − | 2.33937i | − | 0.0791304i | ||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −27.5786 | − | 13.1470i | −0.931793 | − | 0.444197i | ||||
\(877\) | −4.35651 | − | 4.35651i | −0.147109 | − | 0.147109i | 0.629716 | − | 0.776825i | \(-0.283171\pi\) |
−0.776825 | + | 0.629716i | \(0.783171\pi\) | |||||||
\(878\) | 22.5857 | + | 22.5857i | 0.762231 | + | 0.762231i | ||||
\(879\) | −20.7193 | − | 9.87714i | −0.698845 | − | 0.333148i | ||||
\(880\) | −0.820510 | − | 0.172410i | −0.0276594 | − | 0.00581192i | ||||
\(881\) | − | 22.1697i | − | 0.746915i | −0.927647 | − | 0.373457i | \(-0.878172\pi\) | ||
0.927647 | − | 0.373457i | \(-0.121828\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 18.3373 | − | 18.3373i | 0.617098 | − | 0.617098i | −0.327688 | − | 0.944786i | \(-0.606269\pi\) |
0.944786 | + | 0.327688i | \(0.106269\pi\) | |||||||
\(884\) | −16.7380 | −0.562958 | ||||||||
\(885\) | 0.832489 | + | 6.20148i | 0.0279838 | + | 0.208461i | ||||
\(886\) | −25.0148 | −0.840389 | ||||||||
\(887\) | 6.44138 | − | 6.44138i | 0.216280 | − | 0.216280i | −0.590649 | − | 0.806929i | \(-0.701128\pi\) |
0.806929 | + | 0.590649i | \(0.201128\pi\) | |||||||
\(888\) | 10.6730 | + | 30.1190i | 0.358162 | + | 1.01073i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 15.9571 | + | 24.4470i | 0.534883 | + | 0.819465i | ||||
\(891\) | 6.40649 | + | 1.35598i | 0.214625 | + | 0.0454271i | ||||
\(892\) | 8.53747 | + | 8.53747i | 0.285855 | + | 0.285855i | ||||
\(893\) | 3.81501 | + | 3.81501i | 0.127664 | + | 0.127664i | ||||
\(894\) | −0.910759 | + | 1.91050i | −0.0304603 | + | 0.0638968i | ||||
\(895\) | −5.84363 | + | 27.8103i | −0.195331 | + | 0.929595i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −10.8117 | + | 3.83123i | −0.360991 | + | 0.127921i | ||||
\(898\) | 8.97115 | − | 8.97115i | 0.299371 | − | 0.299371i | ||||
\(899\) | 1.71031 | 0.0570421 | ||||||||
\(900\) | −4.42155 | − | 16.1720i | −0.147385 | − | 0.539067i | ||||
\(901\) | −40.0414 | −1.33397 | ||||||||
\(902\) | 2.14788 | − | 2.14788i | 0.0715167 | − | 0.0715167i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 33.0875i | 1.10047i | ||||||||
\(905\) | −4.39584 | + | 20.9201i | −0.146123 | + | 0.695409i | ||||
\(906\) | 2.22034 | − | 4.65762i | 0.0737660 | − | 0.154739i | ||||
\(907\) | 30.1193 | + | 30.1193i | 1.00009 | + | 1.00009i | 1.00000 | 9.36259e-5i | \(2.98021e-5\pi\) | |
9.36259e−5 | 1.00000i | \(0.499970\pi\) | ||||||||
\(908\) | −0.639974 | − | 0.639974i | −0.0212383 | − | 0.0212383i | ||||
\(909\) | 9.97849 | + | 12.3116i | 0.330966 | + | 0.408349i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 18.4223i | − | 0.610358i | −0.952295 | − | 0.305179i | \(-0.901284\pi\) | ||
0.952295 | − | 0.305179i | \(-0.0987163\pi\) | |||||||
\(912\) | 0.228712 | + | 0.645421i | 0.00757340 | + | 0.0213720i | ||||
\(913\) | −1.33157 | + | 1.33157i | −0.0440685 | + | 0.0440685i | ||||
\(914\) | 12.3337 | 0.407963 | ||||||||
\(915\) | −4.93548 | − | 36.7660i | −0.163162 | − | 1.21545i | ||||
\(916\) | −18.0911 | −0.597746 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −30.5628 | − | 18.7018i | −1.00872 | − | 0.617251i | ||||
\(919\) | 11.8450i | 0.390730i | 0.980731 | + | 0.195365i | \(0.0625892\pi\) | ||||
−0.980731 | + | 0.195365i | \(0.937411\pi\) | |||||||
\(920\) | −20.8044 | − | 4.37152i | −0.685900 | − | 0.144125i | ||||
\(921\) | −36.9343 | − | 17.6070i | −1.21703 | − | 0.580171i | ||||
\(922\) | 2.67248 | + | 2.67248i | 0.0880135 | + | 0.0880135i | ||||
\(923\) | −10.1908 | − | 10.1908i | −0.335433 | − | 0.335433i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 11.4250 | + | 29.3538i | 0.375650 | + | 0.965147i | ||||
\(926\) | 16.2179i | 0.532955i | ||||||||
\(927\) | −2.26802 | + | 21.6684i | −0.0744917 | + | 0.711685i | ||||
\(928\) | 15.4763 | − | 15.4763i | 0.508033 | − | 0.508033i | ||||
\(929\) | 15.8742 | 0.520815 | 0.260407 | − | 0.965499i | \(-0.416143\pi\) | ||||
0.260407 | + | 0.965499i | \(0.416143\pi\) | |||||||
\(930\) | 1.21414 | + | 0.926746i | 0.0398132 | + | 0.0303892i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −10.4531 | + | 10.4531i | −0.342401 | + | 0.342401i | ||||
\(933\) | −9.03162 | − | 25.4871i | −0.295682 | − | 0.834410i | ||||
\(934\) | 28.3315i | 0.927035i | ||||||||
\(935\) | 10.0018 | − | 6.52841i | 0.327094 | − | 0.213502i | ||||
\(936\) | 13.9227 | − | 11.2843i | 0.455078 | − | 0.368839i | ||||
\(937\) | 12.9594 | + | 12.9594i | 0.423365 | + | 0.423365i | 0.886360 | − | 0.462996i | \(-0.153226\pi\) |
−0.462996 | + | 0.886360i | \(0.653226\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −12.2042 | + | 25.6009i | −0.398270 | + | 0.835453i | ||||
\(940\) | 14.7188 | − | 9.60730i | 0.480075 | − | 0.313356i | ||||
\(941\) | 46.8044i | 1.52578i | 0.646528 | + | 0.762890i | \(0.276220\pi\) | ||||
−0.646528 | + | 0.762890i | \(0.723780\pi\) | |||||||
\(942\) | −6.62077 | + | 2.34614i | −0.215716 | + | 0.0764413i | ||||
\(943\) | 10.2028 | − | 10.2028i | 0.332249 | − | 0.332249i | ||||
\(944\) | −0.832560 | −0.0270975 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −4.98615 | −0.162114 | ||||||||
\(947\) | −4.04791 | + | 4.04791i | −0.131539 | + | 0.131539i | −0.769811 | − | 0.638272i | \(-0.779650\pi\) |
0.638272 | + | 0.769811i | \(0.279650\pi\) | |||||||
\(948\) | 12.2386 | − | 4.33687i | 0.397490 | − | 0.140855i | ||||
\(949\) | − | 32.1929i | − | 1.04503i | ||||||
\(950\) | 1.30683 | + | 3.35760i | 0.0423992 | + | 0.108935i | ||||
\(951\) | −17.9392 | + | 37.6311i | −0.581718 | + | 1.22027i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −2.51927 | − | 2.51927i | −0.0816072 | − | 0.0816072i | 0.665125 | − | 0.746732i | \(-0.268378\pi\) |
−0.746732 | + | 0.665125i | \(0.768378\pi\) | |||||||
\(954\) | 11.9405 | − | 9.67773i | 0.386588 | − | 0.313328i | ||||
\(955\) | −10.2435 | − | 2.15240i | −0.331471 | − | 0.0696502i | ||||
\(956\) | − | 0.0925234i | − | 0.00299242i | ||||||
\(957\) | 1.71469 | + | 4.83882i | 0.0554280 | + | 0.156417i | ||||
\(958\) | −8.61268 | + | 8.61268i | −0.278263 | + | 0.278263i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 23.3287 | − | 3.13165i | 0.752930 | − | 0.101074i | ||||
\(961\) | −30.8237 | −0.994313 | ||||||||
\(962\) | −8.53543 | + | 8.53543i | −0.275193 | + | 0.275193i | ||||
\(963\) | −5.71991 | + | 54.6474i | −0.184322 | + | 1.76099i | ||||
\(964\) | − | 16.2273i | − | 0.522646i | ||||||
\(965\) | 8.78377 | + | 13.4571i | 0.282760 | + | 0.433201i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 37.0826 | + | 37.0826i | 1.19250 | + | 1.19250i | 0.976364 | + | 0.216132i | \(0.0693443\pi\) |
0.216132 | + | 0.976364i | \(0.430656\pi\) | |||||||
\(968\) | 21.6820 | + | 21.6820i | 0.696884 | + | 0.696884i | ||||
\(969\) | −8.80526 | − | 4.19757i | −0.282866 | − | 0.134845i | ||||
\(970\) | 3.43611 | − | 16.3527i | 0.110327 | − | 0.525054i | ||||
\(971\) | 33.4690i | 1.07407i | 0.843559 | + | 0.537036i | \(0.180456\pi\) | ||||
−0.843559 | + | 0.537036i | \(0.819544\pi\) | |||||||
\(972\) | −17.2718 | + | 2.29276i | −0.553992 | + | 0.0735404i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −27.4165 | −0.878480 | ||||||||
\(975\) | 13.3773 | − | 11.5385i | 0.428418 | − | 0.369527i | ||||
\(976\) | 4.93589 | 0.157994 | ||||||||
\(977\) | −22.4394 | + | 22.4394i | −0.717901 | + | 0.717901i | −0.968175 | − | 0.250274i | \(-0.919479\pi\) |
0.250274 | + | 0.968175i | \(0.419479\pi\) | |||||||
\(978\) | −5.19440 | − | 14.6585i | −0.166099 | − | 0.468728i | ||||
\(979\) | 10.1133i | 0.323223i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −11.9394 | − | 14.7310i | −0.381197 | − | 0.470326i | ||||
\(982\) | 11.5007 | + | 11.5007i | 0.367002 | + | 0.367002i | ||||
\(983\) | 13.4470 | + | 13.4470i | 0.428892 | + | 0.428892i | 0.888251 | − | 0.459359i | \(-0.151921\pi\) |
−0.459359 | + | 0.888251i | \(0.651921\pi\) | |||||||
\(984\) | −9.70098 | + | 20.3498i | −0.309256 | + | 0.648728i | ||||
\(985\) | 6.59766 | + | 10.1079i | 0.210219 | + | 0.322065i | ||||
\(986\) | − | 28.0896i | − | 0.894556i | ||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 1.23681 | − | 1.23681i | 0.0393481 | − | 0.0393481i | ||||
\(989\) | −23.6850 | −0.753140 | ||||||||
\(990\) | −1.40471 | + | 4.36416i | −0.0446446 | + | 0.138702i | ||||
\(991\) | 52.1316 | 1.65601 | 0.828007 | − | 0.560718i | \(-0.189475\pi\) | ||||
0.828007 | + | 0.560718i | \(0.189475\pi\) | |||||||
\(992\) | 1.59514 | − | 1.59514i | 0.0506456 | − | 0.0506456i | ||||
\(993\) | −15.7397 | + | 5.57754i | −0.499486 | + | 0.176998i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 25.7280 | + | 5.40610i | 0.815634 | + | 0.171385i | ||||
\(996\) | 2.15606 | − | 4.52277i | 0.0683173 | − | 0.143310i | ||||
\(997\) | −11.9912 | − | 11.9912i | −0.379764 | − | 0.379764i | 0.491253 | − | 0.871017i | \(-0.336539\pi\) |
−0.871017 | + | 0.491253i | \(0.836539\pi\) | |||||||
\(998\) | −11.1831 | − | 11.1831i | −0.353994 | − | 0.353994i | ||||
\(999\) | 31.8251 | − | 7.66225i | 1.00690 | − | 0.242423i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))