Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [931,2,Mod(177,931)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(931, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([6, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("931.177");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 931 = 7^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 931.v (of order \(9\), degree \(6\), not 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: | \(7.43407242818\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 19) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 606.1 | ||
Root | \(-0.766044 - 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 931.606 |
Dual form | 931.2.v.b.275.1 |
$q$-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 \(\left(\mathbb{Z}/931\mathbb{Z}\right)^\times\).
\(n\) | \(248\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.26604 | − | 0.460802i | 0.895229 | − | 0.325837i | 0.146889 | − | 0.989153i | \(-0.453074\pi\) |
0.748339 | + | 0.663316i | \(0.230852\pi\) | |||||||
\(3\) | 2.70574 | − | 0.984808i | 1.56216 | − | 0.568579i | 0.590928 | − | 0.806724i | \(-0.298762\pi\) |
0.971230 | + | 0.238145i | \(0.0765393\pi\) | |||||||
\(4\) | −0.141559 | + | 0.118782i | −0.0707796 | + | 0.0593912i | ||||
\(5\) | 0.673648 | + | 0.565258i | 0.301265 | + | 0.252791i | 0.780870 | − | 0.624693i | \(-0.214776\pi\) |
−0.479606 | + | 0.877484i | \(0.659220\pi\) | |||||||
\(6\) | 2.97178 | − | 2.49362i | 1.21322 | − | 1.01802i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −1.47178 | + | 2.54920i | −0.520353 | + | 0.901278i | ||||
\(9\) | 4.05303 | − | 3.40090i | 1.35101 | − | 1.13363i | ||||
\(10\) | 1.11334 | + | 0.405223i | 0.352069 | + | 0.128143i | ||||
\(11\) | 1.11334 | + | 1.92836i | 0.335685 | + | 0.581423i | 0.983616 | − | 0.180276i | \(-0.0576989\pi\) |
−0.647931 | + | 0.761699i | \(0.724366\pi\) | |||||||
\(12\) | −0.266044 | + | 0.460802i | −0.0768004 | + | 0.133022i | ||||
\(13\) | 1.97178 | − | 1.65452i | 0.546874 | − | 0.458882i | −0.327007 | − | 0.945022i | \(-0.606040\pi\) |
0.873881 | + | 0.486140i | \(0.161596\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.37939 | + | 0.866025i | 0.614355 | + | 0.223607i | ||||
\(16\) | −0.624485 | + | 3.54163i | −0.156121 | + | 0.885408i | ||||
\(17\) | 0.358441 | + | 0.300767i | 0.0869346 | + | 0.0729468i | 0.685219 | − | 0.728337i | \(-0.259706\pi\) |
−0.598285 | + | 0.801284i | \(0.704151\pi\) | |||||||
\(18\) | 3.56418 | − | 6.17334i | 0.840085 | − | 1.45507i | ||||
\(19\) | 2.77719 | + | 3.35965i | 0.637131 | + | 0.770756i | ||||
\(20\) | −0.162504 | −0.0363370 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.29813 | + | 1.92836i | 0.489964 | + | 0.411128i | ||||
\(23\) | −0.467911 | − | 2.65366i | −0.0975662 | − | 0.553325i | −0.993931 | − | 0.110008i | \(-0.964912\pi\) |
0.896365 | − | 0.443318i | \(-0.146199\pi\) | |||||||
\(24\) | −1.47178 | + | 8.34689i | −0.300426 | + | 1.70380i | ||||
\(25\) | −0.733956 | − | 4.16247i | −0.146791 | − | 0.832494i | ||||
\(26\) | 1.73396 | − | 3.00330i | 0.340057 | − | 0.588995i | ||||
\(27\) | 3.29813 | − | 5.71253i | 0.634726 | − | 1.09938i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.19459 | − | 6.77487i | −0.221830 | − | 1.25806i | −0.868653 | − | 0.495421i | \(-0.835014\pi\) |
0.646822 | − | 0.762641i | \(-0.276097\pi\) | |||||||
\(30\) | 3.41147 | 0.622847 | ||||||||
\(31\) | −7.10607 | −1.27629 | −0.638144 | − | 0.769917i | \(-0.720297\pi\) | ||||
−0.638144 | + | 0.769917i | \(0.720297\pi\) | |||||||
\(32\) | −0.180922 | − | 1.02606i | −0.0319828 | − | 0.181384i | ||||
\(33\) | 4.91147 | + | 4.12122i | 0.854978 | + | 0.717412i | ||||
\(34\) | 0.592396 | + | 0.215615i | 0.101595 | + | 0.0369776i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.169778 | + | 0.962858i | −0.0282963 | + | 0.160476i | ||||
\(37\) | −2.47178 | − | 4.28125i | −0.406358 | − | 0.703833i | 0.588120 | − | 0.808774i | \(-0.299868\pi\) |
−0.994479 | + | 0.104940i | \(0.966535\pi\) | |||||||
\(38\) | 5.06418 | + | 2.97373i | 0.821518 | + | 0.482402i | ||||
\(39\) | 3.70574 | − | 6.41852i | 0.593393 | − | 1.02779i | ||||
\(40\) | −2.43242 | + | 0.885328i | −0.384599 | + | 0.139983i | ||||
\(41\) | 1.89646 | + | 1.59132i | 0.296177 | + | 0.248522i | 0.778751 | − | 0.627333i | \(-0.215854\pi\) |
−0.482574 | + | 0.875855i | \(0.660298\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.66637 | + | 1.33445i | −0.559117 | + | 0.203502i | −0.606093 | − | 0.795394i | \(-0.707264\pi\) |
0.0469757 | + | 0.998896i | \(0.485042\pi\) | |||||||
\(44\) | −0.386659 | − | 0.140732i | −0.0582911 | − | 0.0212162i | ||||
\(45\) | 4.65270 | 0.693584 | ||||||||
\(46\) | −1.81521 | − | 3.14403i | −0.267638 | − | 0.463562i | ||||
\(47\) | −5.58512 | + | 4.68647i | −0.814674 | + | 0.683592i | −0.951718 | − | 0.306972i | \(-0.900684\pi\) |
0.137045 | + | 0.990565i | \(0.456240\pi\) | |||||||
\(48\) | 1.79813 | + | 10.1977i | 0.259538 | + | 1.47191i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −2.84730 | − | 4.93166i | −0.402669 | − | 0.697442i | ||||
\(51\) | 1.26604 | + | 0.460802i | 0.177282 | + | 0.0645253i | ||||
\(52\) | −0.0825961 | + | 0.468426i | −0.0114540 | + | 0.0649590i | ||||
\(53\) | −2.17365 | + | 1.82391i | −0.298574 | + | 0.250533i | −0.779750 | − | 0.626091i | \(-0.784654\pi\) |
0.481177 | + | 0.876624i | \(0.340210\pi\) | |||||||
\(54\) | 1.54323 | − | 8.75211i | 0.210007 | − | 1.19101i | ||||
\(55\) | −0.340022 | + | 1.92836i | −0.0458486 | + | 0.260020i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 10.8229 | + | 6.35532i | 1.43353 | + | 0.841783i | ||||
\(58\) | −4.63429 | − | 8.02682i | −0.608511 | − | 1.05397i | ||||
\(59\) | −4.83022 | − | 4.05304i | −0.628841 | − | 0.527661i | 0.271727 | − | 0.962374i | \(-0.412405\pi\) |
−0.900569 | + | 0.434714i | \(0.856850\pi\) | |||||||
\(60\) | −0.439693 | + | 0.160035i | −0.0567641 | + | 0.0206604i | ||||
\(61\) | 1.58512 | + | 8.98968i | 0.202954 | + | 1.15101i | 0.900627 | + | 0.434593i | \(0.143108\pi\) |
−0.697673 | + | 0.716417i | \(0.745781\pi\) | |||||||
\(62\) | −8.99660 | + | 3.27449i | −1.14257 | + | 0.415861i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −4.29813 | − | 7.44459i | −0.537267 | − | 0.930573i | ||||
\(65\) | 2.26352 | 0.280755 | ||||||||
\(66\) | 8.11721 | + | 2.95442i | 0.999160 | + | 0.363664i | ||||
\(67\) | −7.21213 | − | 2.62500i | −0.881102 | − | 0.320695i | −0.138448 | − | 0.990370i | \(-0.544211\pi\) |
−0.742655 | + | 0.669675i | \(0.766434\pi\) | |||||||
\(68\) | −0.0864665 | −0.0104856 | ||||||||
\(69\) | −3.87939 | − | 6.71929i | −0.467023 | − | 0.808908i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 8.74422 | − | 3.18264i | 1.03775 | − | 0.377709i | 0.233722 | − | 0.972303i | \(-0.424909\pi\) |
0.804026 | + | 0.594594i | \(0.202687\pi\) | |||||||
\(72\) | 2.70439 | + | 15.3374i | 0.318716 | + | 1.80753i | ||||
\(73\) | −1.30541 | + | 0.475129i | −0.152786 | + | 0.0556097i | −0.417281 | − | 0.908777i | \(-0.637017\pi\) |
0.264495 | + | 0.964387i | \(0.414795\pi\) | |||||||
\(74\) | −5.10220 | − | 4.28125i | −0.593118 | − | 0.497685i | ||||
\(75\) | −6.08512 | − | 10.5397i | −0.702649 | − | 1.21702i | ||||
\(76\) | −0.792204 | − | 0.145708i | −0.0908720 | − | 0.0167139i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 1.73396 | − | 9.83375i | 0.196332 | − | 1.11345i | ||||
\(79\) | −2.05690 | + | 11.6653i | −0.231420 | + | 1.31245i | 0.618604 | + | 0.785703i | \(0.287698\pi\) |
−0.850024 | + | 0.526744i | \(0.823413\pi\) | |||||||
\(80\) | −2.42262 | + | 2.03282i | −0.270857 | + | 0.227276i | ||||
\(81\) | 0.541889 | − | 3.07321i | 0.0602099 | − | 0.341467i | ||||
\(82\) | 3.13429 | + | 1.14079i | 0.346124 | + | 0.125979i | ||||
\(83\) | 7.41534 | + | 12.8438i | 0.813940 | + | 1.40979i | 0.910087 | + | 0.414418i | \(0.136015\pi\) |
−0.0961469 | + | 0.995367i | \(0.530652\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.0714517 | + | 0.405223i | 0.00775003 | + | 0.0439526i | ||||
\(86\) | −4.02687 | + | 3.37895i | −0.434229 | + | 0.364361i | ||||
\(87\) | −9.90420 | − | 17.1546i | −1.06184 | − | 1.83916i | ||||
\(88\) | −6.55438 | −0.698699 | ||||||||
\(89\) | 9.67024 | + | 3.51968i | 1.02504 | + | 0.373085i | 0.799192 | − | 0.601076i | \(-0.205261\pi\) |
0.225852 | + | 0.974162i | \(0.427483\pi\) | |||||||
\(90\) | 5.89053 | − | 2.14398i | 0.620916 | − | 0.225995i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0.381445 | + | 0.320070i | 0.0397684 | + | 0.0333696i | ||||
\(93\) | −19.2271 | + | 6.99811i | −1.99376 | + | 0.725670i | ||||
\(94\) | −4.91147 | + | 8.50692i | −0.506580 | + | 0.877422i | ||||
\(95\) | −0.0282185 | + | 3.83305i | −0.00289516 | + | 0.393262i | ||||
\(96\) | −1.50000 | − | 2.59808i | −0.153093 | − | 0.265165i | ||||
\(97\) | 1.64156 | − | 9.30975i | 0.166675 | − | 0.945261i | −0.780645 | − | 0.624974i | \(-0.785109\pi\) |
0.947320 | − | 0.320287i | \(-0.103779\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 11.0706 | + | 4.02936i | 1.11263 | + | 0.404966i | ||||
\(100\) | 0.598326 | + | 0.502055i | 0.0598326 | + | 0.0502055i | ||||
\(101\) | −1.60607 | − | 9.10846i | −0.159810 | − | 0.906325i | −0.954256 | − | 0.298991i | \(-0.903350\pi\) |
0.794446 | − | 0.607334i | \(-0.207761\pi\) | |||||||
\(102\) | 1.81521 | 0.179732 | ||||||||
\(103\) | −5.50980 | −0.542897 | −0.271448 | − | 0.962453i | \(-0.587503\pi\) | ||||
−0.271448 | + | 0.962453i | \(0.587503\pi\) | |||||||
\(104\) | 1.31567 | + | 7.46156i | 0.129012 | + | 0.731666i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.91147 | + | 3.31077i | −0.185659 | + | 0.321570i | ||||
\(107\) | −5.11721 | + | 8.86327i | −0.494699 | + | 0.856845i | −0.999981 | − | 0.00610974i | \(-0.998055\pi\) |
0.505282 | + | 0.862954i | \(0.331389\pi\) | |||||||
\(108\) | 0.211667 | + | 1.20042i | 0.0203677 | + | 0.115511i | ||||
\(109\) | −0.316552 | + | 1.79525i | −0.0303201 | + | 0.171954i | −0.996208 | − | 0.0870081i | \(-0.972269\pi\) |
0.965887 | + | 0.258962i | \(0.0833805\pi\) | |||||||
\(110\) | 0.458111 | + | 2.59808i | 0.0436792 | + | 0.247717i | ||||
\(111\) | −10.9042 | − | 9.14971i | −1.03498 | − | 0.868452i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −17.6878 | −1.66393 | −0.831963 | − | 0.554830i | \(-0.812783\pi\) | ||||
−0.831963 | + | 0.554830i | \(0.812783\pi\) | |||||||
\(114\) | 16.6309 | + | 3.05888i | 1.55762 | + | 0.286490i | ||||
\(115\) | 1.18479 | − | 2.05212i | 0.110482 | − | 0.191361i | ||||
\(116\) | 0.973841 | + | 0.817150i | 0.0904189 | + | 0.0758704i | ||||
\(117\) | 2.36484 | − | 13.4117i | 0.218629 | − | 1.23991i | ||||
\(118\) | −7.98293 | − | 2.90555i | −0.734888 | − | 0.267477i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −5.70961 | + | 4.79093i | −0.521213 | + | 0.437350i | ||||
\(121\) | 3.02094 | − | 5.23243i | 0.274631 | − | 0.475675i | ||||
\(122\) | 6.14930 | + | 10.6509i | 0.556731 | + | 0.964287i | ||||
\(123\) | 6.69846 | + | 2.43804i | 0.603980 | + | 0.219831i | ||||
\(124\) | 1.00593 | − | 0.844075i | 0.0903352 | − | 0.0758002i | ||||
\(125\) | 4.05690 | − | 7.02676i | 0.362861 | − | 0.628493i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.88919 | − | 7.45891i | 0.788788 | − | 0.661871i | −0.156657 | − | 0.987653i | \(-0.550072\pi\) |
0.945445 | + | 0.325782i | \(0.105627\pi\) | |||||||
\(128\) | −7.27584 | − | 6.10516i | −0.643100 | − | 0.539625i | ||||
\(129\) | −8.60607 | + | 7.22135i | −0.757722 | + | 0.635804i | ||||
\(130\) | 2.86571 | − | 1.04303i | 0.251340 | − | 0.0914802i | ||||
\(131\) | −1.73396 | + | 0.631108i | −0.151496 | + | 0.0551402i | −0.416655 | − | 0.909065i | \(-0.636798\pi\) |
0.265159 | + | 0.964205i | \(0.414576\pi\) | |||||||
\(132\) | −1.18479 | −0.103123 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −10.3405 | −0.893282 | ||||||||
\(135\) | 5.45084 | − | 1.98394i | 0.469133 | − | 0.170751i | ||||
\(136\) | −1.29426 | + | 0.471073i | −0.110982 | + | 0.0403942i | ||||
\(137\) | 0.195937 | − | 0.164411i | 0.0167400 | − | 0.0140465i | −0.634379 | − | 0.773022i | \(-0.718744\pi\) |
0.651119 | + | 0.758975i | \(0.274300\pi\) | |||||||
\(138\) | −8.00774 | − | 6.71929i | −0.681664 | − | 0.571984i | ||||
\(139\) | 3.26604 | − | 2.74054i | 0.277022 | − | 0.232449i | −0.493682 | − | 0.869643i | \(-0.664349\pi\) |
0.770704 | + | 0.637193i | \(0.219905\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −10.4966 | + | 18.1806i | −0.883973 | + | 1.53109i | ||||
\(142\) | 9.60401 | − | 8.05872i | 0.805950 | − | 0.676273i | ||||
\(143\) | 5.38578 | + | 1.96026i | 0.450382 | + | 0.163926i | ||||
\(144\) | 9.51367 | + | 16.4782i | 0.792806 | + | 1.37318i | ||||
\(145\) | 3.02481 | − | 5.23913i | 0.251197 | − | 0.435086i | ||||
\(146\) | −1.43376 | + | 1.20307i | −0.118659 | + | 0.0995668i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.858441 | + | 0.312447i | 0.0705634 | + | 0.0256830i | ||||
\(149\) | 2.87551 | − | 16.3079i | 0.235571 | − | 1.33599i | −0.605836 | − | 0.795590i | \(-0.707161\pi\) |
0.841407 | − | 0.540402i | \(-0.181728\pi\) | |||||||
\(150\) | −12.5608 | − | 10.5397i | −1.02558 | − | 0.860566i | ||||
\(151\) | 2.18092 | − | 3.77747i | 0.177481 | − | 0.307406i | −0.763536 | − | 0.645765i | \(-0.776539\pi\) |
0.941017 | + | 0.338359i | \(0.109872\pi\) | |||||||
\(152\) | −12.6518 | + | 2.13495i | −1.02620 | + | 0.173167i | ||||
\(153\) | 2.47565 | 0.200145 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −4.78699 | − | 4.01676i | −0.384500 | − | 0.322634i | ||||
\(156\) | 0.237826 | + | 1.34878i | 0.0190413 | + | 0.107989i | ||||
\(157\) | −1.67024 | + | 9.47243i | −0.133300 | + | 0.755982i | 0.842728 | + | 0.538339i | \(0.180948\pi\) |
−0.976028 | + | 0.217643i | \(0.930163\pi\) | |||||||
\(158\) | 2.77126 | + | 15.7166i | 0.220470 | + | 1.25034i | ||||
\(159\) | −4.08512 | + | 7.07564i | −0.323971 | + | 0.561135i | ||||
\(160\) | 0.458111 | − | 0.793471i | 0.0362168 | − | 0.0627294i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −0.730085 | − | 4.14052i | −0.0573609 | − | 0.325310i | ||||
\(163\) | 8.35504 | 0.654417 | 0.327209 | − | 0.944952i | \(-0.393892\pi\) | ||||
0.327209 | + | 0.944952i | \(0.393892\pi\) | |||||||
\(164\) | −0.457482 | −0.0357233 | ||||||||
\(165\) | 0.979055 | + | 5.55250i | 0.0762194 | + | 0.432261i | ||||
\(166\) | 15.3066 | + | 12.8438i | 1.18802 | + | 0.996869i | ||||
\(167\) | −3.79174 | − | 1.38008i | −0.293413 | − | 0.106794i | 0.191120 | − | 0.981567i | \(-0.438788\pi\) |
−0.484533 | + | 0.874773i | \(0.661010\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.10694 | + | 6.27779i | −0.0851496 | + | 0.482907i | ||||
\(170\) | 0.277189 | + | 0.480105i | 0.0212594 | + | 0.0368224i | ||||
\(171\) | 22.6819 | + | 4.17182i | 1.73452 | + | 0.319027i | ||||
\(172\) | 0.360500 | − | 0.624404i | 0.0274879 | − | 0.0476104i | ||||
\(173\) | 18.9290 | − | 6.88960i | 1.43915 | − | 0.523806i | 0.499608 | − | 0.866251i | \(-0.333477\pi\) |
0.939538 | + | 0.342445i | \(0.111255\pi\) | |||||||
\(174\) | −20.4440 | − | 17.1546i | −1.54986 | − | 1.30049i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −7.52481 | + | 2.73881i | −0.567204 | + | 0.206445i | ||||
\(177\) | −17.0608 | − | 6.20961i | −1.28237 | − | 0.466743i | ||||
\(178\) | 13.8648 | 1.03921 | ||||||||
\(179\) | 5.75624 | + | 9.97011i | 0.430242 | + | 0.745201i | 0.996894 | − | 0.0787564i | \(-0.0250949\pi\) |
−0.566652 | + | 0.823957i | \(0.691762\pi\) | |||||||
\(180\) | −0.658633 | + | 0.552659i | −0.0490916 | + | 0.0411928i | ||||
\(181\) | 1.48246 | + | 8.40744i | 0.110190 | + | 0.624920i | 0.989020 | + | 0.147784i | \(0.0472141\pi\) |
−0.878829 | + | 0.477136i | \(0.841675\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 13.1420 | + | 22.7627i | 0.971487 | + | 1.68266i | ||||
\(184\) | 7.45336 | + | 2.71280i | 0.549469 | + | 0.199990i | ||||
\(185\) | 0.754900 | − | 4.28125i | 0.0555014 | − | 0.314764i | ||||
\(186\) | −21.1177 | + | 17.7198i | −1.54842 | + | 1.29928i | ||||
\(187\) | −0.180922 | + | 1.02606i | −0.0132303 | + | 0.0750330i | ||||
\(188\) | 0.233956 | − | 1.32683i | 0.0170630 | − | 0.0967689i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.73055 | + | 4.86581i | 0.125547 | + | 0.353003i | ||||
\(191\) | −9.16772 | − | 15.8790i | −0.663353 | − | 1.14896i | −0.979729 | − | 0.200327i | \(-0.935800\pi\) |
0.316376 | − | 0.948634i | \(-0.397534\pi\) | |||||||
\(192\) | −18.9611 | − | 15.9103i | −1.36840 | − | 1.14822i | ||||
\(193\) | −0.279715 | + | 0.101808i | −0.0201343 | + | 0.00732830i | −0.352068 | − | 0.935975i | \(-0.614521\pi\) |
0.331933 | + | 0.943303i | \(0.392299\pi\) | |||||||
\(194\) | −2.21167 | − | 12.5430i | −0.158788 | − | 0.900534i | ||||
\(195\) | 6.12449 | − | 2.22913i | 0.438583 | − | 0.159631i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −6.57057 | − | 11.3806i | −0.468134 | − | 0.810832i | 0.531203 | − | 0.847245i | \(-0.321740\pi\) |
−0.999337 | + | 0.0364128i | \(0.988407\pi\) | |||||||
\(198\) | 15.8726 | 1.12802 | ||||||||
\(199\) | 0.241230 | + | 0.0878004i | 0.0171003 | + | 0.00622400i | 0.350556 | − | 0.936542i | \(-0.385993\pi\) |
−0.333456 | + | 0.942766i | \(0.608215\pi\) | |||||||
\(200\) | 11.6912 | + | 4.25524i | 0.826692 | + | 0.300891i | ||||
\(201\) | −22.0993 | −1.55876 | ||||||||
\(202\) | −6.23055 | − | 10.7916i | −0.438380 | − | 0.759297i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −0.233956 | + | 0.0851529i | −0.0163802 | + | 0.00596189i | ||||
\(205\) | 0.378041 | + | 2.14398i | 0.0264035 | + | 0.149742i | ||||
\(206\) | −6.97565 | + | 2.53893i | −0.486017 | + | 0.176896i | ||||
\(207\) | −10.9213 | − | 9.16404i | −0.759081 | − | 0.636945i | ||||
\(208\) | 4.62836 | + | 8.01655i | 0.320919 | + | 0.555848i | ||||
\(209\) | −3.38666 | + | 9.09586i | −0.234260 | + | 0.629174i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.425145 | − | 2.41112i | 0.0292682 | − | 0.165988i | −0.966670 | − | 0.256024i | \(-0.917587\pi\) |
0.995938 | + | 0.0900364i | \(0.0286983\pi\) | |||||||
\(212\) | 0.0910521 | − | 0.516382i | 0.00625348 | − | 0.0354653i | ||||
\(213\) | 20.5253 | − | 17.2228i | 1.40637 | − | 1.18008i | ||||
\(214\) | −2.39440 | + | 13.5793i | −0.163678 | + | 0.928263i | ||||
\(215\) | −3.22416 | − | 1.17350i | −0.219886 | − | 0.0800318i | ||||
\(216\) | 9.70826 | + | 16.8152i | 0.660564 | + | 1.14413i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0.426489 | + | 2.41874i | 0.0288855 | + | 0.163818i | ||||
\(219\) | −3.06418 | + | 2.57115i | −0.207058 | + | 0.173742i | ||||
\(220\) | −0.180922 | − | 0.313366i | −0.0121978 | − | 0.0211272i | ||||
\(221\) | 1.20439 | 0.0810162 | ||||||||
\(222\) | −18.0214 | − | 6.55926i | −1.20952 | − | 0.440229i | ||||
\(223\) | 7.99660 | − | 2.91052i | 0.535492 | − | 0.194903i | −0.0600971 | − | 0.998193i | \(-0.519141\pi\) |
0.595589 | + | 0.803289i | \(0.296919\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −17.1309 | − | 14.3745i | −1.14206 | − | 0.958301i | ||||
\(226\) | −22.3935 | + | 8.15058i | −1.48959 | + | 0.542168i | ||||
\(227\) | 7.07532 | − | 12.2548i | 0.469606 | − | 0.813381i | −0.529790 | − | 0.848129i | \(-0.677729\pi\) |
0.999396 | + | 0.0347477i | \(0.0110628\pi\) | |||||||
\(228\) | −2.28699 | + | 0.385920i | −0.151460 | + | 0.0255582i | ||||
\(229\) | 10.2665 | + | 17.7821i | 0.678430 | + | 1.17508i | 0.975454 | + | 0.220205i | \(0.0706727\pi\) |
−0.297023 | + | 0.954870i | \(0.595994\pi\) | |||||||
\(230\) | 0.554378 | − | 3.14403i | 0.0365546 | − | 0.207311i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 19.0287 | + | 6.92588i | 1.24929 | + | 0.454706i | ||||
\(233\) | 13.5214 | + | 11.3458i | 0.885817 | + | 0.743289i | 0.967367 | − | 0.253380i | \(-0.0815425\pi\) |
−0.0815496 | + | 0.996669i | \(0.525987\pi\) | |||||||
\(234\) | −3.18614 | − | 18.0695i | −0.208284 | − | 1.18124i | ||||
\(235\) | −6.41147 | −0.418238 | ||||||||
\(236\) | 1.16519 | 0.0758475 | ||||||||
\(237\) | 5.92262 | + | 33.5888i | 0.384715 | + | 2.18183i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −1.17617 | + | 2.03719i | −0.0760804 | + | 0.131775i | −0.901556 | − | 0.432663i | \(-0.857574\pi\) |
0.825475 | + | 0.564438i | \(0.190907\pi\) | |||||||
\(240\) | −4.55303 | + | 7.88609i | −0.293897 | + | 0.509045i | ||||
\(241\) | 2.39646 | + | 13.5910i | 0.154370 | + | 0.875473i | 0.959360 | + | 0.282185i | \(0.0910593\pi\) |
−0.804990 | + | 0.593288i | \(0.797830\pi\) | |||||||
\(242\) | 1.41353 | − | 8.01655i | 0.0908654 | − | 0.515323i | ||||
\(243\) | 1.87598 | + | 10.6392i | 0.120344 | + | 0.682506i | ||||
\(244\) | −1.29220 | − | 1.08429i | −0.0827249 | − | 0.0694144i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 9.60401 | 0.612329 | ||||||||
\(247\) | 11.0346 | + | 2.02957i | 0.702116 | + | 0.129138i | ||||
\(248\) | 10.4586 | − | 18.1148i | 0.664120 | − | 1.15029i | ||||
\(249\) | 32.7126 | + | 27.4491i | 2.07308 | + | 1.73952i | ||||
\(250\) | 1.89827 | − | 10.7656i | 0.120057 | − | 0.680878i | ||||
\(251\) | 3.91400 | + | 1.42458i | 0.247050 | + | 0.0899187i | 0.462577 | − | 0.886579i | \(-0.346925\pi\) |
−0.215528 | + | 0.976498i | \(0.569147\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.59627 | − | 3.85673i | 0.288965 | − | 0.242470i | ||||
\(254\) | 7.81702 | − | 13.5395i | 0.490483 | − | 0.849542i | ||||
\(255\) | 0.592396 | + | 1.02606i | 0.0370973 | + | 0.0642544i | ||||
\(256\) | 4.13088 | + | 1.50352i | 0.258180 | + | 0.0939699i | ||||
\(257\) | 0.511144 | − | 0.428901i | 0.0318843 | − | 0.0267541i | −0.626706 | − | 0.779256i | \(-0.715597\pi\) |
0.658591 | + | 0.752501i | \(0.271153\pi\) | |||||||
\(258\) | −7.56805 | + | 13.1082i | −0.471166 | + | 0.816084i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −0.320422 | + | 0.268866i | −0.0198717 | + | 0.0166744i | ||||
\(261\) | −27.8824 | − | 23.3961i | −1.72588 | − | 1.44818i | ||||
\(262\) | −1.90445 | + | 1.59802i | −0.117657 | + | 0.0987261i | ||||
\(263\) | −10.7121 | + | 3.89890i | −0.660538 | + | 0.240416i | −0.650469 | − | 0.759533i | \(-0.725428\pi\) |
−0.0100696 | + | 0.999949i | \(0.503205\pi\) | |||||||
\(264\) | −17.7344 | + | 6.45480i | −1.09148 | + | 0.397266i | ||||
\(265\) | −2.49525 | −0.153282 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 29.6313 | 1.81341 | ||||||||
\(268\) | 1.33275 | − | 0.485081i | 0.0814106 | − | 0.0296310i | ||||
\(269\) | −18.2208 | + | 6.63181i | −1.11094 | + | 0.404349i | −0.831338 | − | 0.555768i | \(-0.812424\pi\) |
−0.279601 | + | 0.960116i | \(0.590202\pi\) | |||||||
\(270\) | 5.98680 | − | 5.02352i | 0.364345 | − | 0.305722i | ||||
\(271\) | −10.2606 | − | 8.60965i | −0.623286 | − | 0.522999i | 0.275549 | − | 0.961287i | \(-0.411141\pi\) |
−0.898835 | + | 0.438288i | \(0.855585\pi\) | |||||||
\(272\) | −1.28905 | + | 1.08164i | −0.0781600 | + | 0.0655841i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.172304 | − | 0.298439i | 0.0104093 | − | 0.0180294i | ||||
\(275\) | 7.20961 | − | 6.04958i | 0.434756 | − | 0.364803i | ||||
\(276\) | 1.34730 | + | 0.490376i | 0.0810977 | + | 0.0295172i | ||||
\(277\) | −8.87346 | − | 15.3693i | −0.533154 | − | 0.923450i | −0.999250 | − | 0.0387161i | \(-0.987673\pi\) |
0.466096 | − | 0.884734i | \(-0.345660\pi\) | |||||||
\(278\) | 2.87211 | − | 4.97464i | 0.172258 | − | 0.298359i | ||||
\(279\) | −28.8011 | + | 24.1670i | −1.72428 | + | 1.44684i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −17.1766 | − | 6.25179i | −1.02467 | − | 0.372950i | −0.225622 | − | 0.974215i | \(-0.572442\pi\) |
−0.799050 | + | 0.601265i | \(0.794664\pi\) | |||||||
\(282\) | −4.91147 | + | 27.8544i | −0.292474 | + | 1.65870i | ||||
\(283\) | 5.88919 | + | 4.94161i | 0.350076 | + | 0.293748i | 0.800820 | − | 0.598904i | \(-0.204397\pi\) |
−0.450745 | + | 0.892653i | \(0.648842\pi\) | |||||||
\(284\) | −0.859785 | + | 1.48919i | −0.0510188 | + | 0.0883672i | ||||
\(285\) | 3.69846 | + | 10.3990i | 0.219078 | + | 0.615984i | ||||
\(286\) | 7.72193 | 0.456608 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −4.22281 | − | 3.54336i | −0.248832 | − | 0.208794i | ||||
\(289\) | −2.91400 | − | 16.5261i | −0.171412 | − | 0.972125i | ||||
\(290\) | 1.41534 | − | 8.02682i | 0.0831119 | − | 0.471351i | ||||
\(291\) | −4.72668 | − | 26.8063i | −0.277083 | − | 1.57142i | ||||
\(292\) | 0.128356 | − | 0.222318i | 0.00751144 | − | 0.0130102i | ||||
\(293\) | 5.25150 | − | 9.09586i | 0.306796 | − | 0.531386i | −0.670864 | − | 0.741581i | \(-0.734076\pi\) |
0.977660 | + | 0.210195i | \(0.0674098\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.962859 | − | 5.46064i | −0.0560598 | − | 0.317931i | ||||
\(296\) | 14.5517 | 0.845800 | ||||||||
\(297\) | 14.6878 | 0.852272 | ||||||||
\(298\) | −3.87417 | − | 21.9715i | −0.224425 | − | 1.27278i | ||||
\(299\) | −5.31315 | − | 4.45826i | −0.307267 | − | 0.257828i | ||||
\(300\) | 2.11334 | + | 0.769193i | 0.122014 | + | 0.0444094i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 1.02048 | − | 5.78742i | 0.0587219 | − | 0.333028i | ||||
\(303\) | −13.3157 | − | 23.0634i | −0.764966 | − | 1.32496i | ||||
\(304\) | −13.6329 | + | 7.73773i | −0.781903 | + | 0.443789i | ||||
\(305\) | −4.01367 | + | 6.95188i | −0.229822 | + | 0.398064i | ||||
\(306\) | 3.13429 | − | 1.14079i | 0.179175 | − | 0.0652144i | ||||
\(307\) | −8.95929 | − | 7.51774i | −0.511334 | − | 0.429060i | 0.350264 | − | 0.936651i | \(-0.386092\pi\) |
−0.861598 | + | 0.507591i | \(0.830536\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −14.9081 | + | 5.42609i | −0.848091 | + | 0.308680i | ||||
\(310\) | −7.91147 | − | 2.87954i | −0.449342 | − | 0.163547i | ||||
\(311\) | 15.9659 | 0.905340 | 0.452670 | − | 0.891678i | \(-0.350471\pi\) | ||||
0.452670 | + | 0.891678i | \(0.350471\pi\) | |||||||
\(312\) | 10.9081 | + | 18.8933i | 0.617548 | + | 1.06962i | ||||
\(313\) | −20.3987 | + | 17.1166i | −1.15300 | + | 0.967486i | −0.999786 | − | 0.0207063i | \(-0.993409\pi\) |
−0.153219 | + | 0.988192i | \(0.548964\pi\) | |||||||
\(314\) | 2.25031 | + | 12.7622i | 0.126993 | + | 0.720211i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.09446 | − | 1.89565i | −0.0615679 | − | 0.106639i | ||||
\(317\) | −27.7511 | − | 10.1006i | −1.55866 | − | 0.567304i | −0.588228 | − | 0.808695i | \(-0.700174\pi\) |
−0.970428 | + | 0.241390i | \(0.922397\pi\) | |||||||
\(318\) | −1.91147 | + | 10.8405i | −0.107190 | + | 0.607906i | ||||
\(319\) | 11.7344 | − | 9.84635i | 0.657002 | − | 0.551290i | ||||
\(320\) | 1.31268 | − | 7.44459i | 0.0733811 | − | 0.416165i | ||||
\(321\) | −5.11721 | + | 29.0211i | −0.285615 | + | 1.61980i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −0.0150147 | + | 2.03952i | −0.000835443 | + | 0.113482i | ||||
\(324\) | 0.288333 | + | 0.499408i | 0.0160185 | + | 0.0277449i | ||||
\(325\) | −8.33409 | − | 6.99313i | −0.462292 | − | 0.387909i | ||||
\(326\) | 10.5778 | − | 3.85002i | 0.585853 | − | 0.213233i | ||||
\(327\) | 0.911474 | + | 5.16923i | 0.0504046 | + | 0.285859i | ||||
\(328\) | −6.84776 | + | 2.49238i | −0.378104 | + | 0.137619i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 3.79813 | + | 6.57856i | 0.209080 | + | 0.362138i | ||||
\(331\) | 27.6655 | 1.52063 | 0.760317 | − | 0.649553i | \(-0.225044\pi\) | ||||
0.760317 | + | 0.649553i | \(0.225044\pi\) | |||||||
\(332\) | −2.57532 | − | 0.937341i | −0.141339 | − | 0.0514432i | ||||
\(333\) | −24.5783 | − | 8.94578i | −1.34688 | − | 0.490225i | ||||
\(334\) | −5.43645 | −0.297469 | ||||||||
\(335\) | −3.37464 | − | 5.84504i | −0.184376 | − | 0.319349i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −16.7827 | + | 6.10841i | −0.914212 | + | 0.332746i | −0.755934 | − | 0.654648i | \(-0.772817\pi\) |
−0.158279 | + | 0.987394i | \(0.550594\pi\) | |||||||
\(338\) | 1.49138 | + | 8.45805i | 0.0811205 | + | 0.460057i | ||||
\(339\) | −47.8585 | + | 17.4191i | −2.59932 | + | 0.946074i | ||||
\(340\) | −0.0582480 | − | 0.0488759i | −0.00315894 | − | 0.00265067i | ||||
\(341\) | −7.91147 | − | 13.7031i | −0.428430 | − | 0.742063i | ||||
\(342\) | 30.6386 | − | 5.17015i | 1.65675 | − | 0.279569i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 1.99432 | − | 11.3103i | 0.107526 | − | 0.609813i | ||||
\(345\) | 1.18479 | − | 6.71929i | 0.0637871 | − | 0.361755i | ||||
\(346\) | 20.7902 | − | 17.4451i | 1.11769 | − | 0.937853i | ||||
\(347\) | −1.00727 | + | 5.71253i | −0.0540733 | + | 0.306665i | −0.999834 | − | 0.0181980i | \(-0.994207\pi\) |
0.945761 | + | 0.324863i | \(0.105318\pi\) | |||||||
\(348\) | 3.43969 | + | 1.25195i | 0.184387 | + | 0.0671113i | ||||
\(349\) | −2.68614 | − | 4.65253i | −0.143786 | − | 0.249044i | 0.785134 | − | 0.619326i | \(-0.212594\pi\) |
−0.928919 | + | 0.370282i | \(0.879261\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −2.94831 | − | 16.7207i | −0.157369 | − | 0.892485i | ||||
\(352\) | 1.77719 | − | 1.49124i | 0.0947245 | − | 0.0794833i | ||||
\(353\) | 12.6172 | + | 21.8537i | 0.671546 | + | 1.16315i | 0.977466 | + | 0.211095i | \(0.0677029\pi\) |
−0.305919 | + | 0.952057i | \(0.598964\pi\) | |||||||
\(354\) | −24.4611 | −1.30009 | ||||||||
\(355\) | 7.68954 | + | 2.79876i | 0.408118 | + | 0.148543i | ||||
\(356\) | −1.78699 | + | 0.650411i | −0.0947102 | + | 0.0344717i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 11.8819 | + | 9.97011i | 0.627979 | + | 0.526937i | ||||
\(359\) | −6.28359 | + | 2.28704i | −0.331635 | + | 0.120705i | −0.502471 | − | 0.864594i | \(-0.667575\pi\) |
0.170836 | + | 0.985300i | \(0.445353\pi\) | |||||||
\(360\) | −6.84776 | + | 11.8607i | −0.360909 | + | 0.625112i | ||||
\(361\) | −3.57444 | + | 18.6607i | −0.188129 | + | 0.982144i | ||||
\(362\) | 5.75103 | + | 9.96108i | 0.302267 | + | 0.523543i | ||||
\(363\) | 3.02094 | − | 17.1326i | 0.158558 | − | 0.899230i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1.14796 | − | 0.417822i | −0.0600868 | − | 0.0218698i | ||||
\(366\) | 27.1275 | + | 22.7627i | 1.41798 | + | 1.18982i | ||||
\(367\) | 1.40983 | + | 7.99552i | 0.0735923 | + | 0.417363i | 0.999240 | + | 0.0389764i | \(0.0124097\pi\) |
−0.925648 | + | 0.378386i | \(0.876479\pi\) | |||||||
\(368\) | 9.69047 | 0.505151 | ||||||||
\(369\) | 13.0983 | 0.681872 | ||||||||
\(370\) | −1.01707 | − | 5.76811i | −0.0528752 | − | 0.299870i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 1.89053 | − | 3.27449i | 0.0980194 | − | 0.169775i | ||||
\(373\) | −17.4488 | + | 30.2222i | −0.903463 | + | 1.56484i | −0.0804968 | + | 0.996755i | \(0.525651\pi\) |
−0.822967 | + | 0.568090i | \(0.807683\pi\) | |||||||
\(374\) | 0.243756 | + | 1.38241i | 0.0126043 | + | 0.0714826i | ||||
\(375\) | 4.05690 | − | 23.0078i | 0.209498 | − | 1.18812i | ||||
\(376\) | −3.72668 | − | 21.1351i | −0.192189 | − | 1.08996i | ||||
\(377\) | −13.5646 | − | 11.3821i | −0.698615 | − | 0.586207i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1.70140 | 0.0873950 | 0.0436975 | − | 0.999045i | \(-0.486086\pi\) | ||||
0.0436975 | + | 0.999045i | \(0.486086\pi\) | |||||||
\(380\) | −0.451304 | − | 0.545955i | −0.0231514 | − | 0.0280069i | ||||
\(381\) | 16.7062 | − | 28.9360i | 0.855885 | − | 1.48244i | ||||
\(382\) | −18.9238 | − | 15.8790i | −0.968226 | − | 0.812438i | ||||
\(383\) | 0.509962 | − | 2.89214i | 0.0260579 | − | 0.147781i | −0.969003 | − | 0.247049i | \(-0.920539\pi\) |
0.995061 | + | 0.0992680i | \(0.0316501\pi\) | |||||||
\(384\) | −25.6989 | − | 9.35365i | −1.31144 | − | 0.477326i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −0.307218 | + | 0.257787i | −0.0156370 | + | 0.0131210i | ||||
\(387\) | −10.3216 | + | 17.8775i | −0.524677 | + | 0.908767i | ||||
\(388\) | 0.873455 | + | 1.51287i | 0.0443430 | + | 0.0768043i | ||||
\(389\) | 23.0856 | + | 8.40247i | 1.17049 | + | 0.426022i | 0.852832 | − | 0.522185i | \(-0.174883\pi\) |
0.317654 | + | 0.948207i | \(0.397105\pi\) | |||||||
\(390\) | 6.72668 | − | 5.64436i | 0.340619 | − | 0.285813i | ||||
\(391\) | 0.630415 | − | 1.09191i | 0.0318815 | − | 0.0552203i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −4.07011 | + | 3.41523i | −0.205310 | + | 0.172275i | ||||
\(394\) | −13.5628 | − | 11.3806i | −0.683286 | − | 0.573345i | ||||
\(395\) | −7.97952 | + | 6.69561i | −0.401493 | + | 0.336893i | ||||
\(396\) | −2.04576 | + | 0.744596i | −0.102803 | + | 0.0374173i | ||||
\(397\) | 29.9158 | − | 10.8885i | 1.50143 | − | 0.546476i | 0.545001 | − | 0.838436i | \(-0.316529\pi\) |
0.956431 | + | 0.291959i | \(0.0943071\pi\) | |||||||
\(398\) | 0.345866 | 0.0173367 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 15.2003 | 0.760014 | ||||||||
\(401\) | 0.0812519 | − | 0.0295733i | 0.00405753 | − | 0.00147682i | −0.339991 | − | 0.940429i | \(-0.610424\pi\) |
0.344048 | + | 0.938952i | \(0.388202\pi\) | |||||||
\(402\) | −27.9786 | + | 10.1834i | −1.39545 | + | 0.507902i | ||||
\(403\) | −14.0116 | + | 11.7571i | −0.697968 | + | 0.585665i | ||||
\(404\) | 1.30928 | + | 1.09861i | 0.0651390 | + | 0.0546581i | ||||
\(405\) | 2.10220 | − | 1.76395i | 0.104459 | − | 0.0876515i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 5.50387 | − | 9.53298i | 0.272817 | − | 0.472532i | ||||
\(408\) | −3.03802 | + | 2.54920i | −0.150404 | + | 0.126204i | ||||
\(409\) | −18.7995 | − | 6.84245i | −0.929574 | − | 0.338337i | −0.167534 | − | 0.985866i | \(-0.553580\pi\) |
−0.762041 | + | 0.647529i | \(0.775802\pi\) | |||||||
\(410\) | 1.46657 | + | 2.54017i | 0.0724286 | + | 0.125450i | ||||
\(411\) | 0.368241 | − | 0.637812i | 0.0181640 | − | 0.0314609i | ||||
\(412\) | 0.779963 | − | 0.654467i | 0.0384260 | − | 0.0322433i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −18.0496 | − | 6.56953i | −0.887091 | − | 0.322875i | ||||
\(415\) | −2.26470 | + | 12.8438i | −0.111170 | + | 0.630475i | ||||
\(416\) | −2.05438 | − | 1.72383i | −0.100724 | − | 0.0845176i | ||||
\(417\) | 6.13816 | − | 10.6316i | 0.300587 | − | 0.520632i | ||||
\(418\) | −0.0962667 | + | 13.0763i | −0.00470856 | + | 0.639585i | ||||
\(419\) | 25.4097 | 1.24135 | 0.620673 | − | 0.784070i | \(-0.286859\pi\) | ||||
0.620673 | + | 0.784070i | \(0.286859\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.34730 | + | 2.80872i | 0.163137 | + | 0.136888i | 0.720702 | − | 0.693245i | \(-0.243820\pi\) |
−0.557565 | + | 0.830134i | \(0.688264\pi\) | |||||||
\(422\) | −0.572796 | − | 3.24849i | −0.0278833 | − | 0.158134i | ||||
\(423\) | −6.69846 | + | 37.9889i | −0.325690 | + | 1.84708i | ||||
\(424\) | −1.45037 | − | 8.22546i | −0.0704362 | − | 0.399464i | ||||
\(425\) | 0.988856 | − | 1.71275i | 0.0479665 | − | 0.0830805i | ||||
\(426\) | 18.0496 | − | 31.2629i | 0.874507 | − | 1.51469i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −0.328411 | − | 1.86251i | −0.0158744 | − | 0.0900279i | ||||
\(429\) | 16.5030 | 0.796772 | ||||||||
\(430\) | −4.62267 | −0.222925 | ||||||||
\(431\) | −6.65183 | − | 37.7244i | −0.320407 | − | 1.81712i | −0.540158 | − | 0.841564i | \(-0.681636\pi\) |
0.219751 | − | 0.975556i | \(-0.429476\pi\) | |||||||
\(432\) | 18.1721 | + | 15.2482i | 0.874303 | + | 0.733628i | ||||
\(433\) | 17.0376 | + | 6.20118i | 0.818775 | + | 0.298010i | 0.717244 | − | 0.696823i | \(-0.245403\pi\) |
0.101532 | + | 0.994832i | \(0.467626\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 3.02481 | − | 17.1546i | 0.145029 | − | 0.822499i | ||||
\(436\) | −0.168434 | − | 0.291736i | −0.00806651 | − | 0.0139716i | ||||
\(437\) | 7.61587 | − | 8.94172i | 0.364316 | − | 0.427740i | ||||
\(438\) | −2.69459 | + | 4.66717i | −0.128753 | + | 0.223006i | ||||
\(439\) | 5.72328 | − | 2.08310i | 0.273157 | − | 0.0994211i | −0.201810 | − | 0.979425i | \(-0.564682\pi\) |
0.474967 | + | 0.880004i | \(0.342460\pi\) | |||||||
\(440\) | −4.41534 | − | 3.70491i | −0.210493 | − | 0.176625i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 1.52481 | − | 0.554987i | 0.0725280 | − | 0.0263981i | ||||
\(443\) | 28.0903 | + | 10.2240i | 1.33461 | + | 0.485759i | 0.908112 | − | 0.418728i | \(-0.137524\pi\) |
0.426501 | + | 0.904487i | \(0.359746\pi\) | |||||||
\(444\) | 2.63041 | 0.124834 | ||||||||
\(445\) | 4.52481 | + | 7.83721i | 0.214497 | + | 0.371519i | ||||
\(446\) | 8.78287 | − | 7.36970i | 0.415881 | − | 0.348966i | ||||
\(447\) | −8.27972 | − | 46.9566i | −0.391617 | − | 2.22097i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 5.62495 | + | 9.74270i | 0.265458 | + | 0.459787i | 0.967683 | − | 0.252168i | \(-0.0811435\pi\) |
−0.702226 | + | 0.711955i | \(0.747810\pi\) | |||||||
\(450\) | −28.3123 | − | 10.3048i | −1.33465 | − | 0.485774i | ||||
\(451\) | −0.957234 | + | 5.42874i | −0.0450744 | + | 0.255629i | ||||
\(452\) | 2.50387 | − | 2.10100i | 0.117772 | − | 0.0988226i | ||||
\(453\) | 2.18092 | − | 12.3686i | 0.102469 | − | 0.581129i | ||||
\(454\) | 3.31062 | − | 18.7755i | 0.155375 | − | 0.881176i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −32.1300 | + | 18.2362i | −1.50463 | + | 0.853989i | ||||
\(457\) | 11.6951 | + | 20.2564i | 0.547072 | + | 0.947556i | 0.998473 | + | 0.0552352i | \(0.0175909\pi\) |
−0.451402 | + | 0.892321i | \(0.649076\pi\) | |||||||
\(458\) | 21.1919 | + | 17.7821i | 0.990233 | + | 0.830904i | ||||
\(459\) | 2.90033 | − | 1.05563i | 0.135376 | − | 0.0492728i | ||||
\(460\) | 0.0760373 | + | 0.431229i | 0.00354526 | + | 0.0201062i | ||||
\(461\) | 34.4149 | − | 12.5260i | 1.60286 | − | 0.583395i | 0.622853 | − | 0.782339i | \(-0.285974\pi\) |
0.980011 | + | 0.198945i | \(0.0637514\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 21.4932 | + | 37.2273i | 0.998873 | + | 1.73010i | 0.540534 | + | 0.841322i | \(0.318222\pi\) |
0.458340 | + | 0.888777i | \(0.348444\pi\) | |||||||
\(464\) | 24.7401 | 1.14853 | ||||||||
\(465\) | −16.9081 | − | 6.15403i | −0.784093 | − | 0.285387i | ||||
\(466\) | 22.3469 | + | 8.13360i | 1.03520 | + | 0.376782i | ||||
\(467\) | 25.5963 | 1.18445 | 0.592227 | − | 0.805771i | \(-0.298249\pi\) | ||||
0.592227 | + | 0.805771i | \(0.298249\pi\) | |||||||
\(468\) | 1.25830 | + | 2.17945i | 0.0581651 | + | 0.100745i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −8.11721 | + | 2.95442i | −0.374419 | + | 0.136277i | ||||
\(471\) | 4.80928 | + | 27.2748i | 0.221600 | + | 1.25676i | ||||
\(472\) | 17.4410 | − | 6.34802i | 0.802789 | − | 0.292191i | ||||
\(473\) | −6.65523 | − | 5.58440i | −0.306008 | − | 0.256771i | ||||
\(474\) | 22.9761 | + | 39.7958i | 1.05533 | + | 1.82788i | ||||
\(475\) | 11.9461 | − | 14.0258i | 0.548124 | − | 0.643548i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −2.60694 | + | 14.7847i | −0.119364 | + | 0.676946i | ||||
\(478\) | −0.550345 | + | 3.12116i | −0.0251722 | + | 0.142759i | ||||
\(479\) | 29.2447 | − | 24.5392i | 1.33622 | − | 1.12123i | 0.353645 | − | 0.935380i | \(-0.384942\pi\) |
0.982579 | − | 0.185845i | \(-0.0595023\pi\) | |||||||
\(480\) | 0.458111 | − | 2.59808i | 0.0209098 | − | 0.118585i | ||||
\(481\) | −11.9572 | − | 4.35208i | −0.545203 | − | 0.198438i | ||||
\(482\) | 9.29679 | + | 16.1025i | 0.423457 | + | 0.733449i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.193877 | + | 1.09953i | 0.00881261 | + | 0.0499788i | ||||
\(485\) | 6.36824 | − | 5.34359i | 0.289167 | − | 0.242640i | ||||
\(486\) | 7.27766 | + | 12.6053i | 0.330121 | + | 0.571787i | ||||
\(487\) | 7.76382 | 0.351812 | 0.175906 | − | 0.984407i | \(-0.443714\pi\) | ||||
0.175906 | + | 0.984407i | \(0.443714\pi\) | |||||||
\(488\) | −25.2494 | − | 9.19004i | −1.14299 | − | 0.416014i | ||||
\(489\) | 22.6065 | − | 8.22811i | 1.02230 | − | 0.372088i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −28.1313 | − | 23.6050i | −1.26955 | − | 1.06528i | −0.994596 | − | 0.103822i | \(-0.966893\pi\) |
−0.274954 | − | 0.961457i | \(-0.588663\pi\) | |||||||
\(492\) | −1.23783 | + | 0.450532i | −0.0558055 | + | 0.0203115i | ||||
\(493\) | 1.60947 | − | 2.78768i | 0.0724869 | − | 0.125551i | ||||
\(494\) | 14.9055 | − | 2.51525i | 0.670632 | − | 0.113167i | ||||
\(495\) | 5.18004 | + | 8.97210i | 0.232826 | + | 0.403266i | ||||
\(496\) | 4.43763 | − | 25.1671i | 0.199256 | − | 1.13003i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 54.0642 | + | 19.6778i | 2.42268 | + | 0.881782i | ||||
\(499\) | 3.77379 | + | 3.16658i | 0.168938 | + | 0.141756i | 0.723337 | − | 0.690495i | \(-0.242607\pi\) |
−0.554399 | + | 0.832251i | \(0.687052\pi\) | |||||||
\(500\) | 0.260363 | + | 1.47659i | 0.0116438 | + | 0.0660352i | ||||
\(501\) | −11.6186 | −0.519079 | ||||||||
\(502\) | 5.61175 | 0.250465 | ||||||||
\(503\) | 5.72163 | + | 32.4490i | 0.255115 | + | 1.44683i | 0.795778 | + | 0.605589i | \(0.207062\pi\) |
−0.540663 | + | 0.841239i | \(0.681827\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 4.06670 | − | 7.04374i | 0.180966 | − | 0.313442i | ||||
\(506\) | 4.04189 | − | 7.00076i | 0.179684 | − | 0.311222i | ||||
\(507\) | 3.18732 | + | 18.0762i | 0.141554 | + | 0.802791i | ||||
\(508\) | −0.372360 | + | 2.11176i | −0.0165208 | + | 0.0936941i | ||||
\(509\) | −6.41370 | − | 36.3739i | −0.284282 | − | 1.61224i | −0.707839 | − | 0.706374i | \(-0.750330\pi\) |
0.423557 | − | 0.905870i | \(-0.360781\pi\) | |||||||
\(510\) | 1.22281 | + | 1.02606i | 0.0541470 | + | 0.0454347i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 24.9186 | 1.10126 | ||||||||
\(513\) | 28.3516 | − | 4.78423i | 1.25176 | − | 0.211229i | ||||
\(514\) | 0.449493 | − | 0.778544i | 0.0198263 | − | 0.0343401i | ||||
\(515\) | −3.71167 | − | 3.11446i | −0.163556 | − | 0.137239i | ||||
\(516\) | 0.360500 | − | 2.04450i | 0.0158701 | − | 0.0900040i | ||||
\(517\) | −15.2554 | − | 5.55250i | −0.670930 | − | 0.244199i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 44.4320 | − | 37.2829i | 1.95035 | − | 1.63654i | ||||
\(520\) | −3.33140 | + | 5.77016i | −0.146092 | + | 0.253038i | ||||
\(521\) | −4.64590 | − | 8.04693i | −0.203540 | − | 0.352542i | 0.746126 | − | 0.665804i | \(-0.231912\pi\) |
−0.949667 | + | 0.313262i | \(0.898578\pi\) | |||||||
\(522\) | −46.0813 | − | 16.7722i | −2.01692 | − | 0.734100i | ||||
\(523\) | −21.7672 | + | 18.2649i | −0.951814 | + | 0.798667i | −0.979602 | − | 0.200947i | \(-0.935598\pi\) |
0.0277878 | + | 0.999614i | \(0.491154\pi\) | |||||||
\(524\) | 0.170493 | − | 0.295303i | 0.00744802 | − | 0.0129004i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −11.7654 | + | 9.87236i | −0.512996 | + | 0.430455i | ||||
\(527\) | −2.54710 | − | 2.13727i | −0.110954 | − | 0.0931011i | ||||
\(528\) | −17.6630 | + | 14.8210i | −0.768682 | + | 0.645001i | ||||
\(529\) | 14.7900 | − | 5.38311i | 0.643043 | − | 0.234048i | ||||
\(530\) | −3.15910 | + | 1.14982i | −0.137223 | + | 0.0499449i | ||||
\(531\) | −33.3610 | −1.44775 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 6.37227 | 0.276014 | ||||||||
\(534\) | 37.5146 | − | 13.6542i | 1.62342 | − | 0.590875i | ||||
\(535\) | −8.45723 | + | 3.07818i | −0.365638 | + | 0.133081i | ||||
\(536\) | 17.3063 | − | 14.5217i | 0.747520 | − | 0.627244i | ||||
\(537\) | 25.3935 | + | 21.3077i | 1.09581 | + | 0.919495i | ||||
\(538\) | −20.0123 | + | 16.7923i | −0.862793 | + | 0.723969i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −0.535959 | + | 0.928309i | −0.0230640 | + | 0.0399480i | ||||
\(541\) | 11.4795 | − | 9.63246i | 0.493543 | − | 0.414132i | −0.361751 | − | 0.932275i | \(-0.617821\pi\) |
0.855294 | + | 0.518143i | \(0.173376\pi\) | |||||||
\(542\) | −16.9577 | − | 6.17210i | −0.728396 | − | 0.265114i | ||||
\(543\) | 12.2909 | + | 21.2884i | 0.527451 | + | 0.913572i | ||||
\(544\) | 0.243756 | − | 0.422197i | 0.0104509 | − | 0.0181016i | ||||
\(545\) | −1.22803 | + | 1.03044i | −0.0526028 | + | 0.0441390i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.65270 | + | 1.32948i | 0.156178 | + | 0.0568443i | 0.418926 | − | 0.908020i | \(-0.362407\pi\) |
−0.262748 | + | 0.964864i | \(0.584629\pi\) | |||||||
\(548\) | −0.00820761 | + | 0.0465477i | −0.000350612 | + | 0.00198842i | ||||
\(549\) | 36.9975 | + | 31.0446i | 1.57902 | + | 1.32495i | ||||
\(550\) | 6.34002 | − | 10.9812i | 0.270339 | − | 0.468242i | ||||
\(551\) | 19.4436 | − | 22.8285i | 0.828324 | − | 0.972527i | ||||
\(552\) | 22.8384 | 0.972068 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −18.3164 | − | 15.3693i | −0.778189 | − | 0.652978i | ||||
\(555\) | −2.17365 | − | 12.3274i | −0.0922662 | − | 0.523268i | ||||
\(556\) | −0.136812 | + | 0.775897i | −0.00580210 | + | 0.0329054i | ||||
\(557\) | 2.29292 | + | 13.0038i | 0.0971541 | + | 0.550988i | 0.994066 | + | 0.108779i | \(0.0346940\pi\) |
−0.896912 | + | 0.442209i | \(0.854195\pi\) | |||||||
\(558\) | −25.3273 | + | 43.8681i | −1.07219 | + | 1.85709i | ||||
\(559\) | −5.02141 | + | 8.69734i | −0.212383 | + | 0.367858i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0.520945 | + | 2.95442i | 0.0219943 | + | 0.124736i | ||||
\(562\) | −24.6272 | −1.03884 | ||||||||
\(563\) | 10.7128 | 0.451489 | 0.225745 | − | 0.974187i | \(-0.427519\pi\) | ||||
0.225745 | + | 0.974187i | \(0.427519\pi\) | |||||||
\(564\) | −0.673648 | − | 3.82045i | −0.0283657 | − | 0.160870i | ||||
\(565\) | −11.9153 | − | 9.99816i | −0.501282 | − | 0.420626i | ||||
\(566\) | 9.73308 | + | 3.54255i | 0.409112 | + | 0.148905i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −4.75641 | + | 26.9749i | −0.199574 | + | 1.13184i | ||||
\(569\) | 6.73530 | + | 11.6659i | 0.282358 | + | 0.489059i | 0.971965 | − | 0.235125i | \(-0.0755499\pi\) |
−0.689607 | + | 0.724184i | \(0.742217\pi\) | |||||||
\(570\) | 9.47431 | + | 11.4613i | 0.396835 | + | 0.480063i | ||||
\(571\) | −6.33275 | + | 10.9686i | −0.265017 | + | 0.459023i | −0.967568 | − | 0.252610i | \(-0.918711\pi\) |
0.702551 | + | 0.711634i | \(0.252044\pi\) | |||||||
\(572\) | −0.995252 | + | 0.362242i | −0.0416136 | + | 0.0151461i | ||||
\(573\) | −40.4432 | − | 33.9358i | −1.68954 | − | 1.41769i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −10.7023 | + | 3.89533i | −0.446318 | + | 0.162447i | ||||
\(576\) | −42.7388 | − | 15.5556i | −1.78078 | − | 0.648152i | ||||
\(577\) | −10.5544 | −0.439384 | −0.219692 | − | 0.975569i | \(-0.570505\pi\) | ||||
−0.219692 | + | 0.975569i | \(0.570505\pi\) | |||||||
\(578\) | −11.3045 | − | 19.5800i | −0.470206 | − | 0.814421i | ||||
\(579\) | −0.656574 | + | 0.550931i | −0.0272863 | + | 0.0228959i | ||||
\(580\) | 0.194126 | + | 1.10094i | 0.00806064 | + | 0.0457142i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −18.3366 | − | 31.7600i | −0.760077 | − | 1.31649i | ||||
\(583\) | −5.93717 | − | 2.16095i | −0.245892 | − | 0.0894975i | ||||
\(584\) | 0.710074 | − | 4.02703i | 0.0293831 | − | 0.166640i | ||||
\(585\) | 9.17412 | − | 7.69800i | 0.379303 | − | 0.318273i | ||||
\(586\) | 2.45723 | − | 13.9357i | 0.101507 | − | 0.575677i | ||||
\(587\) | −3.32619 | + | 18.8638i | −0.137287 | + | 0.778591i | 0.835954 | + | 0.548800i | \(0.184915\pi\) |
−0.973240 | + | 0.229791i | \(0.926196\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −19.7349 | − | 23.8739i | −0.813162 | − | 0.983706i | ||||
\(590\) | −3.73530 | − | 6.46973i | −0.153780 | − | 0.266355i | ||||
\(591\) | −28.9859 | − | 24.3221i | −1.19232 | − | 1.00048i | ||||
\(592\) | 16.7062 | − | 6.08056i | 0.686621 | − | 0.249910i | ||||
\(593\) | −1.50980 | − | 8.56250i | −0.0620001 | − | 0.351620i | −0.999988 | − | 0.00495124i | \(-0.998424\pi\) |
0.937988 | − | 0.346669i | \(-0.112687\pi\) | |||||||
\(594\) | 18.5954 | − | 6.76817i | 0.762978 | − | 0.277701i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 1.53003 | + | 2.65009i | 0.0626724 | + | 0.108552i | ||||
\(597\) | 0.739170 | 0.0302522 | ||||||||
\(598\) | −8.78106 | − | 3.19604i | −0.359084 | − | 0.130696i | ||||
\(599\) | −18.6356 | − | 6.78281i | −0.761431 | − | 0.277138i | −0.0680235 | − | 0.997684i | \(-0.521669\pi\) |
−0.693408 | + | 0.720545i | \(0.743891\pi\) | |||||||
\(600\) | 35.8239 | 1.46250 | ||||||||
\(601\) | 16.8807 | + | 29.2383i | 0.688579 | + | 1.19265i | 0.972298 | + | 0.233747i | \(0.0750986\pi\) |
−0.283718 | + | 0.958908i | \(0.591568\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −38.1584 | + | 13.8885i | −1.55393 | + | 0.565584i | ||||
\(604\) | 0.139967 | + | 0.793791i | 0.00569517 | + | 0.0322989i | ||||
\(605\) | 4.99273 | − | 1.81720i | 0.202983 | − | 0.0738798i | ||||
\(606\) | −27.4859 | − | 23.0634i | −1.11654 | − | 0.936888i | ||||
\(607\) | −17.6425 | − | 30.5577i | −0.716087 | − | 1.24030i | −0.962539 | − | 0.271144i | \(-0.912598\pi\) |
0.246452 | − | 0.969155i | \(-0.420735\pi\) | |||||||
\(608\) | 2.94475 | − | 3.45740i | 0.119425 | − | 0.140216i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.87804 | + | 10.6509i | −0.0760397 | + | 0.431242i | ||||
\(611\) | −3.25877 | + | 18.4814i | −0.131836 | + | 0.747678i | ||||
\(612\) | −0.350452 | + | 0.294064i | −0.0141662 | + | 0.0118868i | ||||
\(613\) | 3.20439 | − | 18.1730i | 0.129424 | − | 0.734001i | −0.849157 | − | 0.528140i | \(-0.822889\pi\) |
0.978581 | − | 0.205861i | \(-0.0659994\pi\) | |||||||
\(614\) | −14.8071 | − | 5.38933i | −0.597564 | − | 0.217496i | ||||
\(615\) | 3.13429 | + | 5.42874i | 0.126387 | + | 0.218908i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −6.19671 | − | 35.1433i | −0.249470 | − | 1.41482i | −0.809878 | − | 0.586598i | \(-0.800467\pi\) |
0.560408 | − | 0.828217i | \(-0.310644\pi\) | |||||||
\(618\) | −16.3739 | + | 13.7394i | −0.658656 | + | 0.552678i | ||||
\(619\) | −1.82976 | − | 3.16923i | −0.0735441 | − | 0.127382i | 0.826908 | − | 0.562337i | \(-0.190098\pi\) |
−0.900452 | + | 0.434955i | \(0.856764\pi\) | |||||||
\(620\) | 1.15476 | 0.0463764 | ||||||||
\(621\) | −16.7023 | − | 6.07915i | −0.670242 | − | 0.243948i | ||||
\(622\) | 20.2135 | − | 7.35710i | 0.810487 | − | 0.294993i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 20.4179 | + | 17.1326i | 0.817369 | + | 0.685854i | ||||
\(625\) | −13.1540 | + | 4.78768i | −0.526162 | + | 0.191507i | ||||
\(626\) | −17.9383 | + | 31.0701i | −0.716961 | + | 1.24181i | ||||
\(627\) | −0.205737 | + | 27.9462i | −0.00821635 | + | 1.11606i | ||||
\(628\) | −0.888719 | − | 1.53931i | −0.0354637 | − | 0.0614250i | ||||
\(629\) | 0.401674 | − | 2.27801i | 0.0160158 | − | 0.0908301i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0.745977 | + | 0.271514i | 0.0296969 | + | 0.0108088i | 0.356826 | − | 0.934171i | \(-0.383859\pi\) |
−0.327129 | + | 0.944980i | \(0.606081\pi\) | |||||||
\(632\) | −26.7098 | − | 22.4122i | −1.06246 | − | 0.891510i | ||||
\(633\) | −1.22416 | − | 6.94253i | −0.0486558 | − | 0.275941i | ||||
\(634\) | −39.7885 | −1.58020 | ||||||||
\(635\) | 10.2044 | 0.404949 | ||||||||
\(636\) | −0.262174 | − | 1.48686i | −0.0103959 | − | 0.0589579i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 10.3191 | − | 17.8732i | 0.408536 | − | 0.707605i | ||||
\(639\) | 24.6168 | − | 42.6375i | 0.973826 | − | 1.68672i | ||||
\(640\) | −1.45037 | − | 8.22546i | −0.0573309 | − | 0.325140i | ||||
\(641\) | 5.10220 | − | 28.9360i | 0.201525 | − | 1.14290i | −0.701291 | − | 0.712875i | \(-0.747393\pi\) |
0.902816 | − | 0.430028i | \(-0.141496\pi\) | |||||||
\(642\) | 6.89440 | + | 39.1001i | 0.272100 | + | 1.54316i | ||||
\(643\) | 17.0168 | + | 14.2788i | 0.671078 | + | 0.563101i | 0.913384 | − | 0.407098i | \(-0.133459\pi\) |
−0.242306 | + | 0.970200i | \(0.577904\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −9.87939 | −0.389000 | ||||||||
\(646\) | 0.920807 | + | 2.58904i | 0.0362287 | + | 0.101865i | ||||
\(647\) | −5.62954 | + | 9.75065i | −0.221320 | + | 0.383337i | −0.955209 | − | 0.295932i | \(-0.904370\pi\) |
0.733889 | + | 0.679269i | \(0.237703\pi\) | |||||||
\(648\) | 7.03667 | + | 5.90447i | 0.276427 | + | 0.231950i | ||||
\(649\) | 2.43804 | − | 13.8268i | 0.0957016 | − | 0.542751i | ||||
\(650\) | −13.7738 | − | 5.01325i | −0.540252 | − | 0.196636i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.18273 | + | 0.992431i | −0.0463194 | + | 0.0388666i | ||||
\(653\) | −13.5000 | + | 23.3827i | −0.528296 | + | 0.915035i | 0.471160 | + | 0.882048i | \(0.343835\pi\) |
−0.999456 | + | 0.0329874i | \(0.989498\pi\) | |||||||
\(654\) | 3.53596 | + | 6.12446i | 0.138267 | + | 0.239485i | ||||
\(655\) | −1.52481 | − | 0.554987i | −0.0595794 | − | 0.0216851i | ||||
\(656\) | −6.82017 | + | 5.72281i | −0.266283 | + | 0.223438i | ||||
\(657\) | −3.67499 | + | 6.36527i | −0.143375 | + | 0.248333i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 21.4691 | − | 18.0147i | 0.836317 | − | 0.701753i | −0.120415 | − | 0.992724i | \(-0.538423\pi\) |
0.956732 | + | 0.290970i | \(0.0939781\pi\) | |||||||
\(660\) | −0.798133 | − | 0.669713i | −0.0310673 | − | 0.0260686i | ||||
\(661\) | 8.70826 | − | 7.30710i | 0.338712 | − | 0.284213i | −0.457526 | − | 0.889196i | \(-0.651264\pi\) |
0.796239 | + | 0.604983i | \(0.206820\pi\) | |||||||
\(662\) | 35.0257 | − | 12.7483i | 1.36131 | − | 0.495478i | ||||
\(663\) | 3.25877 | − | 1.18610i | 0.126560 | − | 0.0460641i | ||||
\(664\) | −43.6551 | −1.69415 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −35.2395 | −1.36550 | ||||||||
\(667\) | −17.4192 | + | 6.34008i | −0.674475 | + | 0.245489i | ||||
\(668\) | 0.700685 | − | 0.255028i | 0.0271103 | − | 0.00986734i | ||||
\(669\) | 18.7704 | − | 15.7502i | 0.725705 | − | 0.608939i | ||||
\(670\) | −6.96585 | − | 5.84504i | −0.269114 | − | 0.225814i | ||||
\(671\) | −15.5706 | + | 13.0653i | −0.601095 | + | 0.504379i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 8.28359 | − | 14.3476i | 0.319309 | − | 0.553059i | −0.661035 | − | 0.750355i | \(-0.729883\pi\) |
0.980344 | + | 0.197296i | \(0.0632160\pi\) | |||||||
\(674\) | −18.4329 | + | 15.4670i | −0.710008 | + | 0.595768i | ||||
\(675\) | −26.1989 | − | 9.53563i | −1.00840 | − | 0.367027i | ||||
\(676\) | −0.588993 | − | 1.02017i | −0.0226536 | − | 0.0392371i | ||||
\(677\) | 4.52481 | − | 7.83721i | 0.173903 | − | 0.301208i | −0.765878 | − | 0.642986i | \(-0.777695\pi\) |
0.939781 | + | 0.341777i | \(0.111029\pi\) | |||||||
\(678\) | −52.5642 | + | 44.1066i | −2.01872 | + | 1.69390i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −1.13816 | − | 0.414255i | −0.0436463 | − | 0.0158859i | ||||
\(681\) | 7.07532 | − | 40.1261i | 0.271127 | − | 1.53764i | ||||
\(682\) | −16.3307 | − | 13.7031i | −0.625334 | − | 0.524718i | ||||
\(683\) | −4.36571 | + | 7.56164i | −0.167049 | + | 0.289338i | −0.937381 | − | 0.348305i | \(-0.886757\pi\) |
0.770332 | + | 0.637643i | \(0.220091\pi\) | |||||||
\(684\) | −3.70637 | + | 2.10364i | −0.141716 | + | 0.0804348i | ||||
\(685\) | 0.224927 | 0.00859402 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 45.2904 | + | 38.0032i | 1.72794 | + | 1.44991i | ||||
\(688\) | −2.43654 | − | 13.8183i | −0.0928921 | − | 0.526817i | ||||
\(689\) | −1.26827 | + | 7.19269i | −0.0483171 | + | 0.274020i | ||||
\(690\) | −1.59627 | − | 9.05288i | −0.0607688 | − | 0.344637i | ||||
\(691\) | −17.3601 | + | 30.0686i | −0.660409 | + | 1.14386i | 0.320099 | + | 0.947384i | \(0.396284\pi\) |
−0.980508 | + | 0.196478i | \(0.937050\pi\) | |||||||
\(692\) | −1.86122 | + | 3.22372i | −0.0707528 | + | 0.122547i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 1.35710 | + | 7.69648i | 0.0515147 | + | 0.292154i | ||||
\(695\) | 3.74928 | 0.142218 | ||||||||
\(696\) | 58.3073 | 2.21013 | ||||||||
\(697\) | 0.201151 | + | 1.14079i | 0.00761915 | + | 0.0432104i | ||||
\(698\) | −5.54466 | − | 4.65253i | −0.209869 | − | 0.176101i | ||||
\(699\) | 47.7588 | + | 17.3828i | 1.80640 | + | 0.657478i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 6.84436 | − | 38.8163i | 0.258508 | − | 1.46607i | −0.528397 | − | 0.848997i | \(-0.677207\pi\) |
0.786905 | − | 0.617074i | \(-0.211682\pi\) | |||||||
\(702\) | −11.4376 | − | 19.8106i | −0.431686 | − | 0.747701i | ||||
\(703\) | 7.51889 | − | 20.1942i | 0.283580 | − | 0.761637i | ||||
\(704\) | 9.57057 | − | 16.5767i | 0.360705 | − | 0.624759i | ||||
\(705\) | −17.3478 | + | 6.31407i | −0.653355 | + | 0.237802i | ||||
\(706\) | 26.0442 | + | 21.8537i | 0.980185 | + | 0.822473i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 3.15270 | − | 1.14749i | 0.118486 | − | 0.0431253i | ||||
\(709\) | 38.6416 | + | 14.0644i | 1.45122 | + | 0.528200i | 0.942931 | − | 0.332989i | \(-0.108057\pi\) |
0.508286 | + | 0.861189i | \(0.330279\pi\) | |||||||
\(710\) | 11.0250 | 0.413760 | ||||||||
\(711\) | 31.3357 | + | 54.2751i | 1.17518 | + | 2.03548i | ||||
\(712\) | −23.2049 | + | 19.4712i | −0.869639 | + | 0.729714i | ||||
\(713\) | 3.32501 | + | 18.8571i | 0.124523 | + | 0.706202i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.52007 | + | 4.36488i | 0.0942452 | + | 0.163237i | ||||
\(716\) | −1.99912 | − | 0.727621i | −0.0747107 | − | 0.0271925i | ||||
\(717\) | −1.17617 | + | 6.67042i | −0.0439250 | + | 0.249111i | ||||
\(718\) | −6.90143 | + | 5.79098i | −0.257559 | + | 0.216118i | ||||
\(719\) | −7.36190 | + | 41.7514i | −0.274553 | + | 1.55706i | 0.465827 | + | 0.884876i | \(0.345757\pi\) |
−0.740379 | + | 0.672189i | \(0.765354\pi\) | |||||||
\(720\) | −2.90554 | + | 16.4782i | −0.108283 | + | 0.614105i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 4.07351 | + | 25.2724i | 0.151600 | + | 0.940543i | ||||
\(723\) | 19.8687 | + | 34.4136i | 0.738925 | + | 1.27986i | ||||
\(724\) | −1.20851 | − | 1.01406i | −0.0449140 | − | 0.0376873i | ||||
\(725\) | −27.3234 | + | 9.94491i | −1.01477 | + | 0.369345i | ||||
\(726\) | −4.07011 | − | 23.0827i | −0.151056 | − | 0.856680i | ||||
\(727\) | −48.5411 | + | 17.6675i | −1.80029 | + | 0.655251i | −0.801965 | + | 0.597371i | \(0.796212\pi\) |
−0.998324 | + | 0.0578805i | \(0.981566\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 20.2344 | + | 35.0470i | 0.749423 | + | 1.29804i | ||||
\(730\) | −1.64590 | −0.0609174 | ||||||||
\(731\) | −1.71554 | − | 0.624404i | −0.0634514 | − | 0.0230944i | ||||
\(732\) | −4.56418 | − | 1.66122i | −0.168697 | − | 0.0614006i | ||||
\(733\) | −22.9162 | −0.846430 | −0.423215 | − | 0.906029i | \(-0.639098\pi\) | ||||
−0.423215 | + | 0.906029i | \(0.639098\pi\) | |||||||
\(734\) | 5.46926 | + | 9.47303i | 0.201874 | + | 0.349656i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.63816 | + | 0.960210i | −0.0972437 | + | 0.0353938i | ||||
\(737\) | −2.96761 | − | 16.8301i | −0.109313 | − | 0.619946i | ||||
\(738\) | 16.5831 | − | 6.03574i | 0.610431 | − | 0.222179i | ||||
\(739\) | 21.5462 | + | 18.0794i | 0.792591 | + | 0.665063i | 0.946385 | − | 0.323040i | \(-0.104705\pi\) |
−0.153794 | + | 0.988103i | \(0.549149\pi\) | |||||||
\(740\) | 0.401674 | + | 0.695720i | 0.0147658 | + | 0.0255752i | ||||
\(741\) | 31.8555 | − | 5.37549i | 1.17024 | − | 0.197474i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 1.06489 | − | 6.03931i | 0.0390671 | − | 0.221561i | −0.959024 | − | 0.283326i | \(-0.908562\pi\) |
0.998091 | + | 0.0617657i | \(0.0196731\pi\) | |||||||
\(744\) | 10.4586 | − | 59.3135i | 0.383430 | − | 2.17454i | ||||
\(745\) | 11.1552 | − | 9.36035i | 0.408696 | − | 0.342937i | ||||
\(746\) | −8.16448 | + | 46.3030i | −0.298923 | + | 1.69528i | ||||
\(747\) | 73.7349 | + | 26.8373i | 2.69782 | + | 0.981926i | ||||
\(748\) | −0.0962667 | − | 0.166739i | −0.00351986 | − | 0.00609657i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −5.46585 | − | 30.9984i | −0.199585 | − | 1.13190i | ||||
\(751\) | 4.32114 | − | 3.62586i | 0.157681 | − | 0.132310i | −0.560534 | − | 0.828131i | \(-0.689404\pi\) |
0.718215 | + | 0.695822i | \(0.244960\pi\) | |||||||
\(752\) | −13.1099 | − | 22.7071i | −0.478070 | − | 0.828042i | ||||
\(753\) | 11.9932 | 0.437056 | ||||||||
\(754\) | −22.4183 | − | 8.15961i | −0.816428 | − | 0.297155i | ||||
\(755\) | 3.60442 | − | 1.31190i | 0.131178 | − | 0.0477450i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 12.0207 | + | 10.0866i | 0.436900 | + | 0.366602i | 0.834548 | − | 0.550936i | \(-0.185729\pi\) |
−0.397648 | + | 0.917538i | \(0.630173\pi\) | |||||||
\(758\) | 2.15405 | − | 0.784009i | 0.0782385 | − | 0.0284765i | ||||
\(759\) | 8.63816 | − | 14.9617i | 0.313545 | − | 0.543076i | ||||
\(760\) | −9.72967 | − | 5.71334i | −0.352932 | − | 0.207245i | ||||
\(761\) | −2.43242 | − | 4.21307i | −0.0881751 | − | 0.152724i | 0.818565 | − | 0.574414i | \(-0.194770\pi\) |
−0.906740 | + | 0.421691i | \(0.861437\pi\) | |||||||
\(762\) | 7.81702 | − | 44.3325i | 0.283181 | − | 1.60600i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 3.18392 | + | 1.15885i | 0.115190 | + | 0.0419257i | ||||
\(765\) | 1.66772 | + | 1.39938i | 0.0602965 | + | 0.0505948i | ||||
\(766\) | −0.687070 | − | 3.89657i | −0.0248249 | − | 0.140789i | ||||
\(767\) | −16.2300 | −0.586031 | ||||||||
\(768\) | 12.6578 | 0.456747 | ||||||||
\(769\) | 3.91266 | + | 22.1898i | 0.141094 | + | 0.800184i | 0.970421 | + | 0.241420i | \(0.0776131\pi\) |
−0.829327 | + | 0.558764i | \(0.811276\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0.960637 | − | 1.66387i | 0.0345965 | − | 0.0599229i | ||||
\(772\) | 0.0275033 | − | 0.0476371i | 0.000989864 | − | 0.00171450i | ||||
\(773\) | −4.58987 | − | 26.0304i | −0.165086 | − | 0.936250i | −0.948976 | − | 0.315350i | \(-0.897878\pi\) |
0.783889 | − | 0.620900i | \(-0.213233\pi\) | |||||||
\(774\) | −4.82959 | + | 27.3900i | −0.173596 | + | 0.984513i | ||||
\(775\) | 5.21554 | + | 29.5788i | 0.187348 | + | 1.06250i | ||||
\(776\) | 21.3164 | + | 17.8866i | 0.765214 | + | 0.642091i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 33.0993 | 1.18667 | ||||||||
\(779\) | −0.0794409 | + | 10.7908i | −0.00284627 | + | 0.386621i | ||||
\(780\) | −0.602196 | + | 1.04303i | −0.0215621 | + | 0.0373466i | ||||
\(781\) | 15.8726 | + | 13.3187i | 0.567965 | + | 0.476580i | ||||
\(782\) | 0.294978 | − | 1.67290i | 0.0105484 | − | 0.0598229i | ||||
\(783\) | −42.6416 | − | 15.5203i | −1.52389 | − | 0.554650i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −6.47952 | + | 5.43696i | −0.231264 | + | 0.194054i | ||||
\(786\) | −3.57919 | + | 6.19934i | −0.127666 | + | 0.221123i | ||||
\(787\) | 7.77884 | + | 13.4733i | 0.277286 | + | 0.480273i | 0.970709 | − | 0.240257i | \(-0.0772318\pi\) |
−0.693424 | + | 0.720530i | \(0.743899\pi\) | |||||||
\(788\) | 2.28194 | + | 0.830557i | 0.0812906 | + | 0.0295874i | ||||
\(789\) | −25.1446 | + | 21.0988i | −0.895170 | + | 0.751137i | ||||
\(790\) | −7.01707 | + | 12.1539i | −0.249656 | + | 0.432417i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −26.5651 | + | 22.2908i | −0.943950 | + | 0.792068i | ||||
\(793\) | 17.9991 | + | 15.1031i | 0.639168 | + | 0.536325i | ||||
\(794\) | 32.8573 | − | 27.5706i | 1.16606 | − | 0.978443i | ||||
\(795\) | −6.75150 | + | 2.45734i | −0.239451 | + | 0.0871530i | ||||
\(796\) | −0.0445774 | + | 0.0162249i | −0.00158000 | + | 0.000575075i | ||||
\(797\) | 33.4935 | 1.18640 | 0.593200 | − | 0.805055i | \(-0.297864\pi\) | ||||
0.593200 | + | 0.805055i | \(0.297864\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −3.41147 | −0.120689 | ||||||||
\(800\) | −4.13816 | + | 1.50617i | −0.146306 | + | 0.0532510i | ||||
\(801\) | 51.1639 | − | 18.6221i | 1.80779 | − | 0.657981i | ||||
\(802\) | 0.0892411 | − | 0.0748822i | 0.00315121 | − | 0.00264418i | ||||
\(803\) | −2.36959 | − | 1.98832i | −0.0836208 | − | 0.0701662i | ||||
\(804\) | 3.12836 | − | 2.62500i | 0.110329 | − | 0.0925767i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −12.3216 | + | 21.3416i | −0.434010 | + | 0.751727i | ||||
\(807\) | −42.7695 | + | 35.8879i | −1.50556 | + | 1.26331i | ||||
\(808\) | 25.5831 | + | 9.31147i | 0.900009 | + | 0.327576i | ||||
\(809\) | −20.5581 | − | 35.6076i | −0.722784 | − | 1.25190i | −0.959880 | − | 0.280412i | \(-0.909529\pi\) |
0.237096 | − | 0.971486i | \(-0.423804\pi\) | |||||||
\(810\) | 1.84864 | − | 3.20194i | 0.0649546 | − | 0.112505i | ||||
\(811\) | 12.7836 | − | 10.7267i | 0.448892 | − | 0.376665i | −0.390132 | − | 0.920759i | \(-0.627571\pi\) |
0.839025 | + | 0.544093i | \(0.183126\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −36.2413 | − | 13.1907i | −1.27104 | − | 0.462620i | ||||
\(814\) | 2.57532 | − | 14.6054i | 0.0902650 | − | 0.511918i | ||||
\(815\) | 5.62836 | + | 4.72275i | 0.197153 | + | 0.165431i | ||||
\(816\) | −2.42262 | + | 4.19610i | −0.0848086 | + | 0.146893i | ||||
\(817\) | −14.6655 | − | 8.61170i | −0.513081 | − | 0.301285i | ||||
\(818\) | −26.9540 | −0.942424 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.308182 | − | 0.258595i | −0.0107622 | − | 0.00903054i | ||||
\(821\) | −5.45084 | − | 30.9132i | −0.190236 | − | 1.07888i | −0.919042 | − | 0.394160i | \(-0.871036\pi\) |
0.728807 | − | 0.684720i | \(-0.240075\pi\) | |||||||
\(822\) | 0.172304 | − | 0.977185i | 0.00600979 | − | 0.0340832i | ||||
\(823\) | 8.04442 | + | 45.6221i | 0.280411 | + | 1.59029i | 0.721232 | + | 0.692693i | \(0.243576\pi\) |
−0.440822 | + | 0.897595i | \(0.645313\pi\) | |||||||
\(824\) | 8.10922 | − | 14.0456i | 0.282498 | − | 0.489301i | ||||
\(825\) | 13.5496 | − | 23.4686i | 0.471738 | − | 0.817073i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 7.07769 | + | 40.1396i | 0.246115 | + | 1.39579i | 0.817888 | + | 0.575377i | \(0.195145\pi\) |
−0.571773 | + | 0.820412i | \(0.693744\pi\) | |||||||
\(828\) | 2.63453 | 0.0915564 | ||||||||
\(829\) | −35.4834 | −1.23239 | −0.616195 | − | 0.787594i | \(-0.711327\pi\) | ||||
−0.616195 | + | 0.787594i | \(0.711327\pi\) | |||||||
\(830\) | 3.05122 | + | 17.3043i | 0.105909 | + | 0.600642i | ||||
\(831\) | −39.1450 | − | 32.8466i | −1.35793 | − | 1.13943i | ||||
\(832\) | −20.7922 | − | 7.56774i | −0.720840 | − | 0.262364i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 2.87211 | − | 16.2886i | 0.0994531 | − | 0.564026i | ||||
\(835\) | −1.77420 | − | 3.07300i | −0.0613986 | − | 0.106345i | ||||
\(836\) | −0.601014 | − | 1.68988i | −0.0207865 | − | 0.0584457i | ||||
\(837\) | −23.4368 | + | 40.5937i | −0.810093 | + | 1.40312i | ||||
\(838\) | 32.1698 | − | 11.7089i | 1.11129 | − | 0.404476i | ||||
\(839\) | −29.2649 | − | 24.5562i | −1.01034 | − | 0.847774i | −0.0219545 | − | 0.999759i | \(-0.506989\pi\) |
−0.988383 | + | 0.151985i | \(0.951433\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −17.2208 | + | 6.26784i | −0.593819 | + | 0.216132i | ||||
\(842\) | 5.53209 | + | 2.01352i | 0.190648 | + | 0.0693903i | ||||
\(843\) | −52.6323 | −1.81275 | ||||||||
\(844\) | 0.226215 | + | 0.391815i | 0.00778663 | + | 0.0134868i | ||||
\(845\) | −4.29426 | + | 3.60331i | −0.147727 | + | 0.123958i | ||||
\(846\) | 9.02481 | + | 51.1823i | 0.310280 | + | 1.75968i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −5.10220 | − | 8.83726i | −0.175210 | − | 0.303473i | ||||
\(849\) | 20.8011 | + | 7.57099i | 0.713893 | + | 0.259836i | ||||
\(850\) | 0.462697 | − | 2.62408i | 0.0158704 | − | 0.0900053i | ||||
\(851\) | −10.2044 | + | 8.56250i | −0.349802 | + | 0.293519i | ||||
\(852\) | −0.859785 | + | 4.87608i | −0.0294557 | + | 0.167052i | ||||
\(853\) | −4.44568 | + | 25.2127i | −0.152217 | + | 0.863266i | 0.809069 | + | 0.587714i | \(0.199972\pi\) |
−0.961286 | + | 0.275552i | \(0.911139\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 12.9214 | + | 15.6314i | 0.441904 | + | 0.534584i | ||||
\(856\) | −15.0628 | − | 26.0896i | −0.514837 | − | 0.891724i | ||||
\(857\) | −16.1532 | − | 13.5541i | −0.551782 | − | 0.463000i | 0.323762 | − | 0.946139i | \(-0.395052\pi\) |
−0.875544 | + | 0.483139i | \(0.839497\pi\) | |||||||
\(858\) | 20.8935 | − | 7.60462i | 0.713293 | − | 0.259617i | ||||
\(859\) | −3.39780 | − | 19.2699i | −0.115932 | − | 0.657481i | −0.986285 | − | 0.165053i | \(-0.947221\pi\) |
0.870353 | − | 0.492428i | \(-0.163890\pi\) | |||||||
\(860\) | 0.595800 | − | 0.216853i | 0.0203166 | − | 0.00739464i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −25.8050 | − | 44.6956i | −0.878922 | − | 1.52234i | ||||
\(863\) | 4.94894 | 0.168464 | 0.0842319 | − | 0.996446i | \(-0.473156\pi\) | ||||
0.0842319 | + | 0.996446i | \(0.473156\pi\) | |||||||
\(864\) | −6.45811 | − | 2.35056i | −0.219709 | − | 0.0799677i | ||||
\(865\) | 16.6459 | + | 6.05861i | 0.565977 | + | 0.205999i | ||||
\(866\) | 24.4279 | 0.830093 | ||||||||
\(867\) | −24.1596 | − | 41.8456i | −0.820502 | − | 1.42115i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −24.7849 | + | 9.02098i | −0.840771 | + | 0.306016i | ||||
\(870\) | −4.07532 | − | 23.1123i | −0.138166 | − | 0.783580i | ||||
\(871\) | −18.5639 | + | 6.75670i | −0.629013 | + | 0.228942i | ||||
\(872\) | −4.11057 | − | 3.44917i | −0.139201 | − | 0.116804i | ||||
\(873\) | −25.0082 | − | 43.3155i | −0.846400 | − | 1.46601i | ||||
\(874\) | 5.52166 | − | 14.8300i | 0.186773 | − | 0.501633i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0.128356 | − | 0.727940i | 0.00433673 | − | 0.0245948i | ||||
\(877\) | 0.211829 | − | 1.20134i | 0.00715296 | − | 0.0405664i | −0.981022 | − | 0.193895i | \(-0.937888\pi\) |
0.988175 | + | 0.153328i | \(0.0489991\pi\) | |||||||
\(878\) | 6.28603 | − | 5.27460i | 0.212143 | − | 0.178009i | ||||
\(879\) | 5.25150 | − | 29.7827i | 0.177129 | − | 1.00455i | ||||
\(880\) | −6.61721 | − | 2.40847i | −0.223066 | − | 0.0811894i | ||||
\(881\) | −23.2515 | − | 40.2728i | −0.783363 | − | 1.35682i | −0.929972 | − | 0.367630i | \(-0.880169\pi\) |
0.146609 | − | 0.989194i | \(-0.453164\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 2.24438 | + | 12.7285i | 0.0755296 | + | 0.428349i | 0.999001 | + | 0.0446828i | \(0.0142277\pi\) |
−0.923472 | + | 0.383667i | \(0.874661\pi\) | |||||||
\(884\) | −0.170493 | + | 0.143061i | −0.00573430 | + | 0.00481165i | ||||
\(885\) | −7.98293 | − | 13.8268i | −0.268343 | − | 0.464784i | ||||
\(886\) | 40.2749 | 1.35306 | ||||||||
\(887\) | 21.8237 | + | 7.94318i | 0.732769 | + | 0.266706i | 0.681336 | − | 0.731970i | \(-0.261399\pi\) |
0.0514324 | + | 0.998676i | \(0.483621\pi\) | |||||||
\(888\) | 39.3730 | − | 14.3306i | 1.32127 | − | 0.480904i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 9.34002 | + | 7.83721i | 0.313078 | + | 0.262704i | ||||
\(891\) | 6.52956 | − | 2.37657i | 0.218749 | − | 0.0796180i | ||||
\(892\) | −0.786274 | + | 1.36187i | −0.0263264 | + | 0.0455986i | ||||
\(893\) | −31.2558 | − | 5.74881i | −1.04594 | − | 0.192377i | ||||
\(894\) | −32.1202 | − | 55.6338i | −1.07426 | − | 1.86067i | ||||
\(895\) | −1.75800 | + | 9.97011i | −0.0587634 | + | 0.333264i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −18.7665 | − | 6.83045i | −0.626596 | − | 0.228062i | ||||
\(898\) | 11.6109 | + | 9.74270i | 0.387461 | + | 0.325118i | ||||
\(899\) | 8.48886 | + | 48.1427i | 0.283119 | + | 1.60565i | ||||
\(900\) | 4.13247 | 0.137749 | ||||||||
\(901\) | −1.32770 | −0.0442320 | ||||||||
\(902\) | 1.28968 | + | 7.31412i | 0.0429416 | + | 0.243534i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 26.0326 | − | 45.0897i | 0.865830 | − | 1.49966i | ||||
\(905\) | −3.75372 | + | 6.50163i | −0.124778 | + | 0.216122i | ||||
\(906\) | −2.93835 | − | 16.6642i | −0.0976201 | − | 0.553631i | ||||
\(907\) | −6.94537 | + | 39.3892i | −0.230617 | + | 1.30790i | 0.621032 | + | 0.783785i | \(0.286713\pi\) |
−0.851650 | + | 0.524111i | \(0.824398\pi\) | |||||||
\(908\) | 0.454078 | + | 2.57521i | 0.0150691 | + | 0.0854612i | ||||
\(909\) | −37.4864 | − | 31.4548i | −1.24334 | − | 1.04329i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −18.7997 | −0.622863 | −0.311431 | − | 0.950269i | \(-0.600808\pi\) | ||||
−0.311431 | + | 0.950269i | \(0.600808\pi\) | |||||||
\(912\) | −29.2670 | + | 34.3621i | −0.969126 | + | 1.13784i | ||||
\(913\) | −16.5116 | + | 28.5989i | −0.546455 | + | 0.946487i | ||||
\(914\) | 24.1407 | + | 20.2564i | 0.798503 | + | 0.670023i | ||||
\(915\) | −4.01367 | + | 22.7627i | −0.132688 | + | 0.752510i | ||||
\(916\) | −3.56552 | − | 1.29774i | −0.117808 | − | 0.0428787i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 3.18551 | − | 2.67296i | 0.105137 | − | 0.0882208i | ||||
\(919\) | −19.9158 | + | 34.4952i | −0.656962 | + | 1.13789i | 0.324436 | + | 0.945908i | \(0.394825\pi\) |
−0.981398 | + | 0.191984i | \(0.938508\pi\) | |||||||
\(920\) | 3.48751 | + | 6.04055i | 0.114980 | + | 0.199151i | ||||
\(921\) | −31.6450 | − | 11.5178i | −1.04274 | − | 0.379526i | ||||
\(922\) | 37.7988 | − | 31.7170i | 1.24484 | − | 1.04454i | ||||
\(923\) | 11.9760 | − | 20.7430i | 0.394193 | − | 0.682763i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −16.0064 | + | 13.4310i | −0.526287 | + | 0.441607i | ||||
\(926\) | 44.3658 | + | 37.2273i | 1.45795 | + | 1.22337i | ||||
\(927\) | −22.3314 | + | 18.7383i | −0.733460 | + | 0.615446i | ||||
\(928\) | −6.73530 | + | 2.45145i | −0.221097 | + | 0.0804727i | ||||
\(929\) | −25.3285 | + | 9.21881i | −0.831000 | + | 0.302459i | −0.722269 | − | 0.691612i | \(-0.756901\pi\) |
−0.108731 | + | 0.994071i | \(0.534679\pi\) | |||||||
\(930\) | −24.2422 | −0.794932 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −3.26176 | −0.106843 | ||||||||
\(933\) | 43.1994 | − | 15.7233i | 1.41428 | − | 0.514758i | ||||
\(934\) | 32.4060 | − | 11.7948i | 1.06036 | − | 0.385938i | ||||
\(935\) | −0.701867 | + | 0.588936i | −0.0229535 | + | 0.0192603i | ||||
\(936\) | 30.7085 | + | 25.7675i | 1.00374 | + | 0.842236i | ||||
\(937\) | 2.00980 | − | 1.68642i | 0.0656573 | − | 0.0550930i | −0.609368 | − | 0.792887i | \(-0.708577\pi\) |
0.675026 | + | 0.737794i | \(0.264133\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −38.3371 | + | 66.4018i | −1.25108 | + | 2.16694i | ||||
\(940\) | 0.907604 | − | 0.761570i | 0.0296028 | − | 0.0248397i | ||||
\(941\) | 17.5437 | + | 6.38538i | 0.571908 | + | 0.208158i | 0.611754 | − | 0.791048i | \(-0.290464\pi\) |
−0.0398455 | + | 0.999206i | \(0.512687\pi\) | |||||||
\(942\) | 18.6570 | + | 32.3149i | 0.607879 | + | 1.05288i | ||||
\(943\) | 3.33544 | − | 5.77715i | 0.108617 | − | 0.188130i | ||||
\(944\) | 17.3708 | − | 14.5758i | 0.565370 | − | 0.474402i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −10.9991 | − | 4.00335i | −0.357612 | − | 0.130160i | ||||
\(947\) | 1.45858 | − | 8.27201i | 0.0473974 | − | 0.268804i | −0.951895 | − | 0.306425i | \(-0.900867\pi\) |
0.999292 | + | 0.0376214i | \(0.0119781\pi\) | |||||||
\(948\) | −4.82816 | − | 4.05131i | −0.156811 | − | 0.131580i | ||||
\(949\) | −1.78787 | + | 3.09668i | −0.0580366 | + | 0.100522i | ||||
\(950\) | 8.66116 | − | 23.2621i | 0.281005 | − | 0.754721i | ||||
\(951\) | −85.0343 | −2.75742 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 25.8102 | + | 21.6573i | 0.836075 | + | 0.701550i | 0.956677 | − | 0.291151i | \(-0.0940382\pi\) |
−0.120602 | + | 0.992701i | \(0.538483\pi\) | |||||||
\(954\) | 3.51233 | + | 19.9194i | 0.113716 | + | 0.644914i | ||||
\(955\) | 2.79989 | − | 15.8790i | 0.0906022 | − | 0.513831i | ||||
\(956\) | −0.0754843 | − | 0.428092i | −0.00244134 | − | 0.0138455i | ||||
\(957\) | 22.0535 | − | 38.1978i | 0.712888 | − | 1.23476i | ||||
\(958\) | 25.7173 | − | 44.5438i | 0.830890 | − | 1.43914i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −3.77972 | − | 21.4358i | −0.121990 | − | 0.691838i | ||||
\(961\) | 19.4962 | 0.628909 | ||||||||
\(962\) | −17.1438 | −0.552739 | ||||||||
\(963\) | 9.40286 | + | 53.3262i | 0.303003 | + | 1.71841i | ||||
\(964\) | −1.95361 | − | 1.63927i | −0.0629216 | − | 0.0527975i | ||||
\(965\) | −0.245977 | − | 0.0895284i | −0.00791829 | − | 0.00288202i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 2.03920 | − | 11.5649i | 0.0655763 | − | 0.371902i | −0.934305 | − | 0.356475i | \(-0.883978\pi\) |
0.999881 | − | 0.0154262i | \(-0.00491051\pi\) | |||||||
\(968\) | 8.89234 | + | 15.4020i | 0.285811 | + | 0.495039i | ||||
\(969\) | 1.96791 | + | 5.53320i | 0.0632184 | + | 0.177752i | ||||
\(970\) | 5.60014 | − | 9.69972i | 0.179810 | − | 0.311439i | ||||
\(971\) | −12.0368 | + | 4.38105i | −0.386280 | + | 0.140595i | −0.527858 | − | 0.849333i | \(-0.677005\pi\) |
0.141578 | + | 0.989927i | \(0.454783\pi\) | |||||||
\(972\) | −1.52931 | − | 1.28325i | −0.0490528 | − | 0.0411602i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 9.82934 | − | 3.57759i | 0.314953 | − | 0.114633i | ||||
\(975\) | −29.4368 | − | 10.7141i | −0.942731 | − | 0.343126i | ||||
\(976\) | −32.8280 | −1.05080 | ||||||||
\(977\) | −7.26382 | − | 12.5813i | −0.232390 | − | 0.402512i | 0.726121 | − | 0.687567i | \(-0.241321\pi\) |
−0.958511 | + | 0.285055i | \(0.907988\pi\) | |||||||
\(978\) | 24.8293 | − | 20.8343i | 0.793955 | − | 0.666207i | ||||
\(979\) | 3.97906 | + | 22.5663i | 0.127171 | + | 0.721224i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 4.82248 | + | 8.35278i | 0.153970 | + | 0.266684i | ||||
\(982\) | −46.4928 | − | 16.9220i | −1.48364 | − | 0.540002i | ||||
\(983\) | −6.43371 | + | 36.4874i | −0.205203 | + | 1.16377i | 0.691916 | + | 0.721978i | \(0.256767\pi\) |
−0.897119 | + | 0.441788i | \(0.854344\pi\) | |||||||
\(984\) | −16.0737 | + | 13.4875i | −0.512412 | + | 0.429965i | ||||
\(985\) | 2.00670 | − | 11.3806i | 0.0639388 | − | 0.362615i | ||||
\(986\) | 0.753089 | − | 4.27098i | 0.0239832 | − | 0.136016i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1.80313 | + | 1.02341i | −0.0573652 | + | 0.0325591i | ||||
\(989\) | 5.25671 | + | 9.10489i | 0.167154 | + | 0.289519i | ||||
\(990\) | 10.6925 | + | 8.97210i | 0.339831 | + | 0.285152i | ||||
\(991\) | −3.22446 | + | 1.17361i | −0.102428 | + | 0.0372809i | −0.392726 | − | 0.919656i | \(-0.628468\pi\) |
0.290298 | + | 0.956936i | \(0.406246\pi\) | |||||||
\(992\) | 1.28564 | + | 7.29125i | 0.0408193 | + | 0.231498i | ||||
\(993\) | 74.8556 | − | 27.2452i | 2.37547 | − | 0.864600i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0.112874 | + | 0.195503i | 0.00357835 | + | 0.00619788i | ||||
\(996\) | −7.89124 | −0.250044 | ||||||||
\(997\) | −12.0055 | − | 4.36965i | −0.380219 | − | 0.138388i | 0.144838 | − | 0.989455i | \(-0.453734\pi\) |
−0.525057 | + | 0.851067i | \(0.675956\pi\) | |||||||
\(998\) | 6.23695 | + | 2.27006i | 0.197427 | + | 0.0718576i | ||||
\(999\) | −32.6091 | −1.03170 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))