Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(31,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.31");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.o (of order \(6\), 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: | \(5.72208555157\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 92 x^{14} - 112 x^{13} + 5846 x^{12} - 7728 x^{11} + 197216 x^{10} - 298200 x^{9} + 4836403 x^{8} - 6808704 x^{7} + 64376800 x^{6} - 91953512 x^{5} + \cdots + 101626561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{8}\cdot 7 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 31.3 | ||
Root | \(1.92573 + 3.33546i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 210.31 |
Dual form | 210.3.o.b.61.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.707107 | − | 1.22474i | −0.353553 | − | 0.612372i | ||||
\(3\) | −1.50000 | − | 0.866025i | −0.500000 | − | 0.288675i | ||||
\(4\) | −1.00000 | + | 1.73205i | −0.250000 | + | 0.433013i | ||||
\(5\) | 1.93649 | − | 1.11803i | 0.387298 | − | 0.223607i | ||||
\(6\) | 2.44949i | 0.408248i | ||||||||
\(7\) | −2.67372 | + | 6.46925i | −0.381960 | + | 0.924179i | ||||
\(8\) | 2.82843 | 0.353553 | ||||||||
\(9\) | 1.50000 | + | 2.59808i | 0.166667 | + | 0.288675i | ||||
\(10\) | −2.73861 | − | 1.58114i | −0.273861 | − | 0.158114i | ||||
\(11\) | −0.578394 | + | 1.00181i | −0.0525813 | + | 0.0910735i | −0.891118 | − | 0.453772i | \(-0.850078\pi\) |
0.838537 | + | 0.544845i | \(0.183412\pi\) | |||||||
\(12\) | 3.00000 | − | 1.73205i | 0.250000 | − | 0.144338i | ||||
\(13\) | 14.8176i | 1.13981i | 0.821710 | + | 0.569906i | \(0.193021\pi\) | ||||
−0.821710 | + | 0.569906i | \(0.806979\pi\) | |||||||
\(14\) | 9.81379 | − | 1.29982i | 0.700985 | − | 0.0928446i | ||||
\(15\) | −3.87298 | −0.258199 | ||||||||
\(16\) | −2.00000 | − | 3.46410i | −0.125000 | − | 0.216506i | ||||
\(17\) | 10.9271 | + | 6.30878i | 0.642772 | + | 0.371105i | 0.785682 | − | 0.618631i | \(-0.212312\pi\) |
−0.142909 | + | 0.989736i | \(0.545646\pi\) | |||||||
\(18\) | 2.12132 | − | 3.67423i | 0.117851 | − | 0.204124i | ||||
\(19\) | 16.7162 | − | 9.65108i | 0.879798 | − | 0.507951i | 0.00920603 | − | 0.999958i | \(-0.497070\pi\) |
0.870592 | + | 0.492006i | \(0.163736\pi\) | |||||||
\(20\) | 4.47214i | 0.223607i | ||||||||
\(21\) | 9.61312 | − | 7.38837i | 0.457768 | − | 0.351827i | ||||
\(22\) | 1.63595 | 0.0743612 | ||||||||
\(23\) | 12.1504 | + | 21.0450i | 0.528277 | + | 0.915002i | 0.999457 | + | 0.0329648i | \(0.0104949\pi\) |
−0.471180 | + | 0.882037i | \(0.656172\pi\) | |||||||
\(24\) | −4.24264 | − | 2.44949i | −0.176777 | − | 0.102062i | ||||
\(25\) | 2.50000 | − | 4.33013i | 0.100000 | − | 0.173205i | ||||
\(26\) | 18.1477 | − | 10.4776i | 0.697990 | − | 0.402985i | ||||
\(27\) | − | 5.19615i | − | 0.192450i | ||||||
\(28\) | −8.53135 | − | 11.1003i | −0.304691 | − | 0.396438i | ||||
\(29\) | 49.0382 | 1.69097 | 0.845486 | − | 0.533998i | \(-0.179311\pi\) | ||||
0.845486 | + | 0.533998i | \(0.179311\pi\) | |||||||
\(30\) | 2.73861 | + | 4.74342i | 0.0912871 | + | 0.158114i | ||||
\(31\) | −24.9581 | − | 14.4096i | −0.805100 | − | 0.464825i | 0.0401515 | − | 0.999194i | \(-0.487216\pi\) |
−0.845251 | + | 0.534369i | \(0.820549\pi\) | |||||||
\(32\) | −2.82843 | + | 4.89898i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 1.73518 | − | 1.00181i | 0.0525813 | − | 0.0303578i | ||||
\(34\) | − | 17.8439i | − | 0.524822i | ||||||
\(35\) | 2.05520 | + | 15.5170i | 0.0587201 | + | 0.443342i | ||||
\(36\) | −6.00000 | −0.166667 | ||||||||
\(37\) | 26.6579 | + | 46.1728i | 0.720484 | + | 1.24791i | 0.960806 | + | 0.277221i | \(0.0894136\pi\) |
−0.240322 | + | 0.970693i | \(0.577253\pi\) | |||||||
\(38\) | −23.6402 | − | 13.6487i | −0.622111 | − | 0.359176i | ||||
\(39\) | 12.8324 | − | 22.2264i | 0.329036 | − | 0.569906i | ||||
\(40\) | 5.47723 | − | 3.16228i | 0.136931 | − | 0.0790569i | ||||
\(41\) | 38.0398i | 0.927800i | 0.885888 | + | 0.463900i | \(0.153550\pi\) | ||||
−0.885888 | + | 0.463900i | \(0.846450\pi\) | |||||||
\(42\) | −15.8464 | − | 6.54925i | −0.377294 | − | 0.155935i | ||||
\(43\) | −63.5774 | −1.47854 | −0.739272 | − | 0.673407i | \(-0.764830\pi\) | ||||
−0.739272 | + | 0.673407i | \(0.764830\pi\) | |||||||
\(44\) | −1.15679 | − | 2.00362i | −0.0262906 | − | 0.0455367i | ||||
\(45\) | 5.80948 | + | 3.35410i | 0.129099 | + | 0.0745356i | ||||
\(46\) | 17.1832 | − | 29.7622i | 0.373548 | − | 0.647004i | ||||
\(47\) | 21.8175 | − | 12.5964i | 0.464203 | − | 0.268008i | −0.249607 | − | 0.968347i | \(-0.580301\pi\) |
0.713810 | + | 0.700340i | \(0.246968\pi\) | |||||||
\(48\) | 6.92820i | 0.144338i | ||||||||
\(49\) | −34.7024 | − | 34.5940i | −0.708213 | − | 0.705999i | ||||
\(50\) | −7.07107 | −0.141421 | ||||||||
\(51\) | −10.9271 | − | 18.9263i | −0.214257 | − | 0.371105i | ||||
\(52\) | −25.6648 | − | 14.8176i | −0.493553 | − | 0.284953i | ||||
\(53\) | −10.4160 | + | 18.0411i | −0.196529 | + | 0.340397i | −0.947401 | − | 0.320050i | \(-0.896300\pi\) |
0.750872 | + | 0.660448i | \(0.229634\pi\) | |||||||
\(54\) | −6.36396 | + | 3.67423i | −0.117851 | + | 0.0680414i | ||||
\(55\) | 2.58666i | 0.0470301i | ||||||||
\(56\) | −7.56243 | + | 18.2978i | −0.135043 | + | 0.326747i | ||||
\(57\) | −33.4323 | −0.586532 | ||||||||
\(58\) | −34.6752 | − | 60.0593i | −0.597849 | − | 1.03550i | ||||
\(59\) | 21.1419 | + | 12.2063i | 0.358337 | + | 0.206886i | 0.668351 | − | 0.743846i | \(-0.267000\pi\) |
−0.310014 | + | 0.950732i | \(0.600334\pi\) | |||||||
\(60\) | 3.87298 | − | 6.70820i | 0.0645497 | − | 0.111803i | ||||
\(61\) | 5.53376 | − | 3.19492i | 0.0907174 | − | 0.0523757i | −0.453955 | − | 0.891025i | \(-0.649987\pi\) |
0.544672 | + | 0.838649i | \(0.316654\pi\) | |||||||
\(62\) | 40.7564i | 0.657361i | ||||||||
\(63\) | −20.8182 | + | 2.75734i | −0.330447 | + | 0.0437674i | ||||
\(64\) | 8.00000 | 0.125000 | ||||||||
\(65\) | 16.5665 | + | 28.6941i | 0.254870 | + | 0.441448i | ||||
\(66\) | −2.45392 | − | 1.41677i | −0.0371806 | − | 0.0214662i | ||||
\(67\) | −62.2451 | + | 107.812i | −0.929031 | + | 1.60913i | −0.144085 | + | 0.989565i | \(0.546024\pi\) |
−0.784946 | + | 0.619564i | \(0.787310\pi\) | |||||||
\(68\) | −21.8543 | + | 12.6176i | −0.321386 | + | 0.185552i | ||||
\(69\) | − | 42.0901i | − | 0.610001i | ||||||
\(70\) | 17.5511 | − | 13.4892i | 0.250730 | − | 0.192704i | ||||
\(71\) | −118.973 | −1.67567 | −0.837835 | − | 0.545924i | \(-0.816179\pi\) | ||||
−0.837835 | + | 0.545924i | \(0.816179\pi\) | |||||||
\(72\) | 4.24264 | + | 7.34847i | 0.0589256 | + | 0.102062i | ||||
\(73\) | −34.2336 | − | 19.7648i | −0.468953 | − | 0.270750i | 0.246848 | − | 0.969054i | \(-0.420605\pi\) |
−0.715801 | + | 0.698304i | \(0.753938\pi\) | |||||||
\(74\) | 37.7000 | − | 65.2983i | 0.509459 | − | 0.882409i | ||||
\(75\) | −7.50000 | + | 4.33013i | −0.100000 | + | 0.0577350i | ||||
\(76\) | 38.6043i | 0.507951i | ||||||||
\(77\) | −4.93448 | − | 6.42033i | −0.0640842 | − | 0.0833809i | ||||
\(78\) | −36.2955 | −0.465327 | ||||||||
\(79\) | 46.4356 | + | 80.4288i | 0.587792 | + | 1.01809i | 0.994521 | + | 0.104537i | \(0.0333360\pi\) |
−0.406729 | + | 0.913549i | \(0.633331\pi\) | |||||||
\(80\) | −7.74597 | − | 4.47214i | −0.0968246 | − | 0.0559017i | ||||
\(81\) | −4.50000 | + | 7.79423i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 46.5891 | − | 26.8982i | 0.568159 | − | 0.328027i | ||||
\(83\) | 5.79665i | 0.0698392i | 0.999390 | + | 0.0349196i | \(0.0111175\pi\) | ||||
−0.999390 | + | 0.0349196i | \(0.988882\pi\) | |||||||
\(84\) | 3.18391 | + | 24.0388i | 0.0379037 | + | 0.286176i | ||||
\(85\) | 28.2137 | 0.331926 | ||||||||
\(86\) | 44.9560 | + | 77.8661i | 0.522744 | + | 0.905420i | ||||
\(87\) | −73.5573 | − | 42.4683i | −0.845486 | − | 0.488142i | ||||
\(88\) | −1.63595 | + | 2.83354i | −0.0185903 | + | 0.0321993i | ||||
\(89\) | 131.622 | − | 75.9919i | 1.47890 | − | 0.853842i | 0.479182 | − | 0.877715i | \(-0.340933\pi\) |
0.999715 | + | 0.0238738i | \(0.00759998\pi\) | |||||||
\(90\) | − | 9.48683i | − | 0.105409i | ||||||
\(91\) | −95.8586 | − | 39.6181i | −1.05339 | − | 0.435363i | ||||
\(92\) | −48.6014 | −0.528277 | ||||||||
\(93\) | 24.9581 | + | 43.2287i | 0.268367 | + | 0.464825i | ||||
\(94\) | −30.8546 | − | 17.8139i | −0.328241 | − | 0.189510i | ||||
\(95\) | 21.5805 | − | 37.3785i | 0.227163 | − | 0.393458i | ||||
\(96\) | 8.48528 | − | 4.89898i | 0.0883883 | − | 0.0510310i | ||||
\(97\) | − | 144.310i | − | 1.48773i | −0.668331 | − | 0.743864i | \(-0.732991\pi\) | ||
0.668331 | − | 0.743864i | \(-0.267009\pi\) | |||||||
\(98\) | −17.8305 | + | 66.9632i | −0.181943 | + | 0.683298i | ||||
\(99\) | −3.47036 | −0.0350542 | ||||||||
\(100\) | 5.00000 | + | 8.66025i | 0.0500000 | + | 0.0866025i | ||||
\(101\) | −33.8480 | − | 19.5422i | −0.335129 | − | 0.193487i | 0.322987 | − | 0.946403i | \(-0.395313\pi\) |
−0.658116 | + | 0.752917i | \(0.728646\pi\) | |||||||
\(102\) | −15.4533 | + | 26.7659i | −0.151503 | + | 0.262411i | ||||
\(103\) | 32.7730 | − | 18.9215i | 0.318185 | − | 0.183704i | −0.332398 | − | 0.943139i | \(-0.607858\pi\) |
0.650583 | + | 0.759435i | \(0.274525\pi\) | |||||||
\(104\) | 41.9104i | 0.402985i | ||||||||
\(105\) | 10.3553 | − | 25.0553i | 0.0986217 | − | 0.238622i | ||||
\(106\) | 29.4609 | 0.277933 | ||||||||
\(107\) | −41.5160 | − | 71.9079i | −0.388000 | − | 0.672036i | 0.604180 | − | 0.796848i | \(-0.293501\pi\) |
−0.992180 | + | 0.124811i | \(0.960167\pi\) | |||||||
\(108\) | 9.00000 | + | 5.19615i | 0.0833333 | + | 0.0481125i | ||||
\(109\) | 23.8962 | − | 41.3894i | 0.219231 | − | 0.379719i | −0.735342 | − | 0.677696i | \(-0.762978\pi\) |
0.954573 | + | 0.297977i | \(0.0963118\pi\) | |||||||
\(110\) | 3.16800 | − | 1.82904i | 0.0288000 | − | 0.0166277i | ||||
\(111\) | − | 92.3457i | − | 0.831943i | ||||||
\(112\) | 27.7576 | − | 3.67646i | 0.247836 | − | 0.0328255i | ||||
\(113\) | −16.2283 | −0.143613 | −0.0718064 | − | 0.997419i | \(-0.522876\pi\) | ||||
−0.0718064 | + | 0.997419i | \(0.522876\pi\) | |||||||
\(114\) | 23.6402 | + | 40.9461i | 0.207370 | + | 0.359176i | ||||
\(115\) | 47.0582 | + | 27.1690i | 0.409201 | + | 0.236252i | ||||
\(116\) | −49.0382 | + | 84.9366i | −0.422743 | + | 0.732212i | ||||
\(117\) | −38.4972 | + | 22.2264i | −0.329036 | + | 0.189969i | ||||
\(118\) | − | 34.5246i | − | 0.292581i | ||||||
\(119\) | −70.0292 | + | 53.8224i | −0.588481 | + | 0.452289i | ||||
\(120\) | −10.9545 | −0.0912871 | ||||||||
\(121\) | 59.8309 | + | 103.630i | 0.494470 | + | 0.856448i | ||||
\(122\) | −7.82592 | − | 4.51830i | −0.0641469 | − | 0.0370352i | ||||
\(123\) | 32.9434 | − | 57.0597i | 0.267833 | − | 0.463900i | ||||
\(124\) | 49.9162 | − | 28.8191i | 0.402550 | − | 0.232412i | ||||
\(125\) | − | 11.1803i | − | 0.0894427i | ||||||
\(126\) | 18.0977 | + | 23.5472i | 0.143633 | + | 0.186883i | ||||
\(127\) | 80.5643 | 0.634365 | 0.317182 | − | 0.948365i | \(-0.397263\pi\) | ||||
0.317182 | + | 0.948365i | \(0.397263\pi\) | |||||||
\(128\) | −5.65685 | − | 9.79796i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | 95.3661 | + | 55.0597i | 0.739272 | + | 0.426819i | ||||
\(130\) | 23.4286 | − | 40.5796i | 0.180220 | − | 0.312151i | ||||
\(131\) | 107.981 | − | 62.3429i | 0.824283 | − | 0.475900i | −0.0276082 | − | 0.999619i | \(-0.508789\pi\) |
0.851891 | + | 0.523719i | \(0.175456\pi\) | |||||||
\(132\) | 4.00723i | 0.0303578i | ||||||||
\(133\) | 17.7409 | + | 133.945i | 0.133390 | + | 1.00711i | ||||
\(134\) | 176.056 | 1.31385 | ||||||||
\(135\) | −5.80948 | − | 10.0623i | −0.0430331 | − | 0.0745356i | ||||
\(136\) | 30.9066 | + | 17.8439i | 0.227254 | + | 0.131205i | ||||
\(137\) | 38.0330 | − | 65.8750i | 0.277613 | − | 0.480840i | −0.693178 | − | 0.720766i | \(-0.743790\pi\) |
0.970791 | + | 0.239927i | \(0.0771234\pi\) | |||||||
\(138\) | −51.5496 | + | 29.7622i | −0.373548 | + | 0.215668i | ||||
\(139\) | − | 91.7680i | − | 0.660201i | −0.943946 | − | 0.330101i | \(-0.892917\pi\) | ||
0.943946 | − | 0.330101i | \(-0.107083\pi\) | |||||||
\(140\) | −28.9314 | − | 11.9572i | −0.206653 | − | 0.0854089i | ||||
\(141\) | −43.6350 | −0.309468 | ||||||||
\(142\) | 84.1263 | + | 145.711i | 0.592439 | + | 1.02613i | ||||
\(143\) | −14.8444 | − | 8.57039i | −0.103807 | − | 0.0599328i | ||||
\(144\) | 6.00000 | − | 10.3923i | 0.0416667 | − | 0.0721688i | ||||
\(145\) | 94.9620 | − | 54.8264i | 0.654911 | − | 0.378113i | ||||
\(146\) | 55.9032i | 0.382898i | ||||||||
\(147\) | 22.0944 | + | 81.9441i | 0.150302 | + | 0.557443i | ||||
\(148\) | −106.632 | −0.720484 | ||||||||
\(149\) | 49.4579 | + | 85.6637i | 0.331933 | + | 0.574924i | 0.982891 | − | 0.184190i | \(-0.0589660\pi\) |
−0.650958 | + | 0.759114i | \(0.725633\pi\) | |||||||
\(150\) | 10.6066 | + | 6.12372i | 0.0707107 | + | 0.0408248i | ||||
\(151\) | −48.8950 | + | 84.6886i | −0.323808 | + | 0.560852i | −0.981270 | − | 0.192635i | \(-0.938297\pi\) |
0.657462 | + | 0.753487i | \(0.271630\pi\) | |||||||
\(152\) | 47.2804 | − | 27.2974i | 0.311055 | − | 0.179588i | ||||
\(153\) | 37.8527i | 0.247403i | ||||||||
\(154\) | −4.37406 | + | 10.5833i | −0.0284030 | + | 0.0687230i | ||||
\(155\) | −64.4415 | −0.415752 | ||||||||
\(156\) | 25.6648 | + | 44.4527i | 0.164518 | + | 0.284953i | ||||
\(157\) | 115.530 | + | 66.7013i | 0.735860 | + | 0.424849i | 0.820562 | − | 0.571557i | \(-0.193661\pi\) |
−0.0847022 | + | 0.996406i | \(0.526994\pi\) | |||||||
\(158\) | 65.6698 | − | 113.743i | 0.415632 | − | 0.719895i | ||||
\(159\) | 31.2480 | − | 18.0411i | 0.196529 | − | 0.113466i | ||||
\(160\) | 12.6491i | 0.0790569i | ||||||||
\(161\) | −168.632 | + | 22.3352i | −1.04741 | + | 0.138728i | ||||
\(162\) | 12.7279 | 0.0785674 | ||||||||
\(163\) | 16.3746 | + | 28.3616i | 0.100458 | + | 0.173998i | 0.911873 | − | 0.410472i | \(-0.134636\pi\) |
−0.811416 | + | 0.584469i | \(0.801303\pi\) | |||||||
\(164\) | −65.8869 | − | 38.0398i | −0.401749 | − | 0.231950i | ||||
\(165\) | 2.24011 | − | 3.87999i | 0.0135764 | − | 0.0235151i | ||||
\(166\) | 7.09942 | − | 4.09885i | 0.0427676 | − | 0.0246919i | ||||
\(167\) | − | 171.659i | − | 1.02790i | −0.857821 | − | 0.513948i | \(-0.828182\pi\) | ||
0.857821 | − | 0.513948i | \(-0.171818\pi\) | |||||||
\(168\) | 27.1900 | − | 20.8975i | 0.161845 | − | 0.124390i | ||||
\(169\) | −50.5603 | −0.299173 | ||||||||
\(170\) | −19.9501 | − | 34.5546i | −0.117354 | − | 0.203262i | ||||
\(171\) | 50.1485 | + | 28.9532i | 0.293266 | + | 0.169317i | ||||
\(172\) | 63.5774 | − | 110.119i | 0.369636 | − | 0.640229i | ||||
\(173\) | 175.336 | − | 101.230i | 1.01350 | − | 0.585145i | 0.101287 | − | 0.994857i | \(-0.467704\pi\) |
0.912215 | + | 0.409712i | \(0.134371\pi\) | |||||||
\(174\) | 120.119i | 0.690336i | ||||||||
\(175\) | 21.3284 | + | 27.7507i | 0.121876 | + | 0.158575i | ||||
\(176\) | 4.62715 | 0.0262906 | ||||||||
\(177\) | −21.1419 | − | 36.6188i | −0.119446 | − | 0.206886i | ||||
\(178\) | −186.141 | − | 107.469i | −1.04574 | − | 0.603757i | ||||
\(179\) | 39.3459 | − | 68.1491i | 0.219810 | − | 0.380721i | −0.734940 | − | 0.678132i | \(-0.762790\pi\) |
0.954750 | + | 0.297411i | \(0.0961230\pi\) | |||||||
\(180\) | −11.6190 | + | 6.70820i | −0.0645497 | + | 0.0372678i | ||||
\(181\) | − | 58.1509i | − | 0.321276i | −0.987013 | − | 0.160638i | \(-0.948645\pi\) | ||
0.987013 | − | 0.160638i | \(-0.0513551\pi\) | |||||||
\(182\) | 19.2602 | + | 145.416i | 0.105825 | + | 0.798992i | ||||
\(183\) | −11.0675 | −0.0604783 | ||||||||
\(184\) | 34.3664 | + | 59.5244i | 0.186774 | + | 0.323502i | ||||
\(185\) | 103.246 | + | 59.6089i | 0.558084 | + | 0.322210i | ||||
\(186\) | 35.2961 | − | 61.1346i | 0.189764 | − | 0.328681i | ||||
\(187\) | −12.6404 | + | 7.29793i | −0.0675956 | + | 0.0390263i | ||||
\(188\) | 50.3854i | 0.268008i | ||||||||
\(189\) | 33.6152 | + | 13.8931i | 0.177858 | + | 0.0735083i | ||||
\(190\) | −61.0388 | −0.321257 | ||||||||
\(191\) | −184.204 | − | 319.051i | −0.964419 | − | 1.67042i | −0.711168 | − | 0.703022i | \(-0.751834\pi\) |
−0.253251 | − | 0.967401i | \(-0.581500\pi\) | |||||||
\(192\) | −12.0000 | − | 6.92820i | −0.0625000 | − | 0.0360844i | ||||
\(193\) | −140.409 | + | 243.196i | −0.727510 | + | 1.26008i | 0.230422 | + | 0.973091i | \(0.425989\pi\) |
−0.957932 | + | 0.286994i | \(0.907344\pi\) | |||||||
\(194\) | −176.742 | + | 102.042i | −0.911044 | + | 0.525991i | ||||
\(195\) | − | 57.3882i | − | 0.294298i | ||||||
\(196\) | 94.6209 | − | 25.5124i | 0.482760 | − | 0.130165i | ||||
\(197\) | 7.61779 | 0.0386690 | 0.0193345 | − | 0.999813i | \(-0.493845\pi\) | ||||
0.0193345 | + | 0.999813i | \(0.493845\pi\) | |||||||
\(198\) | 2.45392 | + | 4.25031i | 0.0123935 | + | 0.0214662i | ||||
\(199\) | −174.795 | − | 100.918i | −0.878366 | − | 0.507125i | −0.00824641 | − | 0.999966i | \(-0.502625\pi\) |
−0.870119 | + | 0.492841i | \(0.835958\pi\) | |||||||
\(200\) | 7.07107 | − | 12.2474i | 0.0353553 | − | 0.0612372i | ||||
\(201\) | 186.735 | − | 107.812i | 0.929031 | − | 0.536376i | ||||
\(202\) | 55.2736i | 0.273632i | ||||||||
\(203\) | −131.114 | + | 317.240i | −0.645884 | + | 1.56276i | ||||
\(204\) | 43.7085 | 0.214257 | ||||||||
\(205\) | 42.5298 | + | 73.6638i | 0.207462 | + | 0.359335i | ||||
\(206\) | −46.3481 | − | 26.7591i | −0.224991 | − | 0.129898i | ||||
\(207\) | −36.4511 | + | 63.1351i | −0.176092 | + | 0.305001i | ||||
\(208\) | 51.3296 | − | 29.6351i | 0.246777 | − | 0.142477i | ||||
\(209\) | 22.3285i | 0.106835i | ||||||||
\(210\) | −38.0086 | + | 5.03420i | −0.180994 | + | 0.0239724i | ||||
\(211\) | 30.3818 | 0.143989 | 0.0719947 | − | 0.997405i | \(-0.477064\pi\) | ||||
0.0719947 | + | 0.997405i | \(0.477064\pi\) | |||||||
\(212\) | −20.8320 | − | 36.0821i | −0.0982643 | − | 0.170199i | ||||
\(213\) | 178.459 | + | 103.033i | 0.837835 | + | 0.483724i | ||||
\(214\) | −58.7126 | + | 101.693i | −0.274358 | + | 0.475202i | ||||
\(215\) | −123.117 | + | 71.0817i | −0.572638 | + | 0.330613i | ||||
\(216\) | − | 14.6969i | − | 0.0680414i | ||||||
\(217\) | 159.950 | − | 122.933i | 0.737097 | − | 0.566512i | ||||
\(218\) | −67.5886 | −0.310039 | ||||||||
\(219\) | 34.2336 | + | 59.2943i | 0.156318 | + | 0.270750i | ||||
\(220\) | −4.48022 | − | 2.58666i | −0.0203646 | − | 0.0117575i | ||||
\(221\) | −93.4808 | + | 161.914i | −0.422990 | + | 0.732640i | ||||
\(222\) | −113.100 | + | 65.2983i | −0.509459 | + | 0.294136i | ||||
\(223\) | 16.7377i | 0.0750569i | 0.999296 | + | 0.0375284i | \(0.0119485\pi\) | ||||
−0.999296 | + | 0.0375284i | \(0.988052\pi\) | |||||||
\(224\) | −24.1303 | − | 31.3963i | −0.107725 | − | 0.140162i | ||||
\(225\) | 15.0000 | 0.0666667 | ||||||||
\(226\) | 11.4751 | + | 19.8755i | 0.0507748 | + | 0.0879446i | ||||
\(227\) | −366.738 | − | 211.736i | −1.61558 | − | 0.932758i | −0.988044 | − | 0.154175i | \(-0.950728\pi\) |
−0.627541 | − | 0.778583i | \(-0.715939\pi\) | |||||||
\(228\) | 33.4323 | − | 57.9065i | 0.146633 | − | 0.253976i | ||||
\(229\) | −350.596 | + | 202.417i | −1.53099 | + | 0.883916i | −0.531672 | + | 0.846951i | \(0.678436\pi\) |
−0.999317 | + | 0.0369660i | \(0.988231\pi\) | |||||||
\(230\) | − | 76.8456i | − | 0.334111i | ||||||
\(231\) | 1.84155 | + | 13.9039i | 0.00797209 | + | 0.0601900i | ||||
\(232\) | 138.701 | 0.597849 | ||||||||
\(233\) | −138.649 | − | 240.147i | −0.595061 | − | 1.03068i | −0.993538 | − | 0.113497i | \(-0.963795\pi\) |
0.398478 | − | 0.917178i | \(-0.369539\pi\) | |||||||
\(234\) | 54.4432 | + | 31.4328i | 0.232663 | + | 0.134328i | ||||
\(235\) | 28.1663 | − | 48.7855i | 0.119857 | − | 0.207598i | ||||
\(236\) | −42.2838 | + | 24.4125i | −0.179169 | + | 0.103443i | ||||
\(237\) | − | 160.858i | − | 0.678724i | ||||||
\(238\) | 115.437 | + | 47.7097i | 0.485029 | + | 0.200461i | ||||
\(239\) | 290.247 | 1.21442 | 0.607211 | − | 0.794541i | \(-0.292288\pi\) | ||||
0.607211 | + | 0.794541i | \(0.292288\pi\) | |||||||
\(240\) | 7.74597 | + | 13.4164i | 0.0322749 | + | 0.0559017i | ||||
\(241\) | −350.574 | − | 202.404i | −1.45466 | − | 0.839850i | −0.455922 | − | 0.890020i | \(-0.650690\pi\) |
−0.998741 | + | 0.0501703i | \(0.984024\pi\) | |||||||
\(242\) | 84.6137 | − | 146.555i | 0.349643 | − | 0.605600i | ||||
\(243\) | 13.5000 | − | 7.79423i | 0.0555556 | − | 0.0320750i | ||||
\(244\) | 12.7797i | 0.0523757i | ||||||||
\(245\) | −105.878 | − | 28.1924i | −0.432156 | − | 0.115071i | ||||
\(246\) | −93.1781 | −0.378773 | ||||||||
\(247\) | 143.005 | + | 247.693i | 0.578970 | + | 1.00280i | ||||
\(248\) | −70.5922 | − | 40.7564i | −0.284646 | − | 0.164340i | ||||
\(249\) | 5.02005 | − | 8.69498i | 0.0201608 | − | 0.0349196i | ||||
\(250\) | −13.6931 | + | 7.90569i | −0.0547723 | + | 0.0316228i | ||||
\(251\) | 155.805i | 0.620739i | 0.950616 | + | 0.310369i | \(0.100453\pi\) | ||||
−0.950616 | + | 0.310369i | \(0.899547\pi\) | |||||||
\(252\) | 16.0423 | − | 38.8155i | 0.0636600 | − | 0.154030i | ||||
\(253\) | −28.1108 | −0.111110 | ||||||||
\(254\) | −56.9676 | − | 98.6707i | −0.224282 | − | 0.388467i | ||||
\(255\) | −42.3206 | − | 24.4338i | −0.165963 | − | 0.0958189i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −22.4315 | + | 12.9508i | −0.0872821 | + | 0.0503923i | −0.543006 | − | 0.839729i | \(-0.682714\pi\) |
0.455724 | + | 0.890121i | \(0.349381\pi\) | |||||||
\(258\) | − | 155.732i | − | 0.603613i | ||||||
\(259\) | −369.980 | + | 49.0033i | −1.42849 | + | 0.189202i | ||||
\(260\) | −66.2662 | −0.254870 | ||||||||
\(261\) | 73.5573 | + | 127.405i | 0.281829 | + | 0.488142i | ||||
\(262\) | −152.708 | − | 88.1662i | −0.582856 | − | 0.336512i | ||||
\(263\) | 157.902 | − | 273.495i | 0.600389 | − | 1.03990i | −0.392373 | − | 0.919806i | \(-0.628346\pi\) |
0.992762 | − | 0.120098i | \(-0.0383209\pi\) | |||||||
\(264\) | 4.90784 | − | 2.83354i | 0.0185903 | − | 0.0107331i | ||||
\(265\) | 46.5818i | 0.175781i | ||||||||
\(266\) | 151.504 | − | 116.442i | 0.569564 | − | 0.437751i | ||||
\(267\) | −263.244 | −0.985931 | ||||||||
\(268\) | −124.490 | − | 215.623i | −0.464516 | − | 0.804565i | ||||
\(269\) | −41.4157 | − | 23.9114i | −0.153962 | − | 0.0888899i | 0.421040 | − | 0.907042i | \(-0.361665\pi\) |
−0.575002 | + | 0.818152i | \(0.694999\pi\) | |||||||
\(270\) | −8.21584 | + | 14.2302i | −0.0304290 | + | 0.0527046i | ||||
\(271\) | 294.580 | − | 170.076i | 1.08701 | − | 0.627587i | 0.154233 | − | 0.988035i | \(-0.450709\pi\) |
0.932779 | + | 0.360448i | \(0.117376\pi\) | |||||||
\(272\) | − | 50.4703i | − | 0.185552i | ||||||
\(273\) | 109.478 | + | 142.443i | 0.401017 | + | 0.521769i | ||||
\(274\) | −107.573 | −0.392604 | ||||||||
\(275\) | 2.89197 | + | 5.00904i | 0.0105163 | + | 0.0182147i | ||||
\(276\) | 72.9022 | + | 42.0901i | 0.264138 | + | 0.152500i | ||||
\(277\) | −105.293 | + | 182.374i | −0.380121 | + | 0.658388i | −0.991079 | − | 0.133274i | \(-0.957451\pi\) |
0.610959 | + | 0.791663i | \(0.290784\pi\) | |||||||
\(278\) | −112.392 | + | 64.8898i | −0.404289 | + | 0.233416i | ||||
\(279\) | − | 86.4574i | − | 0.309883i | ||||||
\(280\) | 5.81299 | + | 43.8886i | 0.0207607 | + | 0.156745i | ||||
\(281\) | 471.785 | 1.67895 | 0.839476 | − | 0.543397i | \(-0.182862\pi\) | ||||
0.839476 | + | 0.543397i | \(0.182862\pi\) | |||||||
\(282\) | 30.8546 | + | 53.4418i | 0.109414 | + | 0.189510i | ||||
\(283\) | 405.534 | + | 234.135i | 1.43298 | + | 0.827333i | 0.997347 | − | 0.0727901i | \(-0.0231903\pi\) |
0.435636 | + | 0.900123i | \(0.356524\pi\) | |||||||
\(284\) | 118.973 | − | 206.067i | 0.418917 | − | 0.725586i | ||||
\(285\) | −64.7414 | + | 37.3785i | −0.227163 | + | 0.131153i | ||||
\(286\) | 24.2407i | 0.0847578i | ||||||||
\(287\) | −246.089 | − | 101.708i | −0.857453 | − | 0.354383i | ||||
\(288\) | −16.9706 | −0.0589256 | ||||||||
\(289\) | −64.8985 | − | 112.408i | −0.224562 | − | 0.388953i | ||||
\(290\) | −134.297 | − | 77.5362i | −0.463092 | − | 0.267366i | ||||
\(291\) | −124.976 | + | 216.464i | −0.429470 | + | 0.743864i | ||||
\(292\) | 68.4671 | − | 39.5295i | 0.234476 | − | 0.135375i | ||||
\(293\) | − | 63.5067i | − | 0.216746i | −0.994110 | − | 0.108373i | \(-0.965436\pi\) | ||
0.994110 | − | 0.108373i | \(-0.0345642\pi\) | |||||||
\(294\) | 84.7375 | − | 85.0032i | 0.288223 | − | 0.289127i | ||||
\(295\) | 54.5881 | 0.185044 | ||||||||
\(296\) | 75.3999 | + | 130.597i | 0.254730 | + | 0.441204i | ||||
\(297\) | 5.20555 | + | 3.00542i | 0.0175271 | + | 0.0101193i | ||||
\(298\) | 69.9441 | − | 121.147i | 0.234712 | − | 0.406533i | ||||
\(299\) | −311.836 | + | 180.039i | −1.04293 | + | 0.602136i | ||||
\(300\) | − | 17.3205i | − | 0.0577350i | ||||||
\(301\) | 169.988 | − | 411.298i | 0.564745 | − | 1.36644i | ||||
\(302\) | 138.296 | 0.457934 | ||||||||
\(303\) | 33.8480 | + | 58.6265i | 0.111710 | + | 0.193487i | ||||
\(304\) | −66.8646 | − | 38.6043i | −0.219949 | − | 0.126988i | ||||
\(305\) | 7.14406 | − | 12.3739i | 0.0234231 | − | 0.0405701i | ||||
\(306\) | 46.3599 | − | 26.7659i | 0.151503 | − | 0.0874703i | ||||
\(307\) | − | 211.610i | − | 0.689283i | −0.938734 | − | 0.344642i | \(-0.888000\pi\) | ||
0.938734 | − | 0.344642i | \(-0.112000\pi\) | |||||||
\(308\) | 16.0548 | − | 2.12644i | 0.0521261 | − | 0.00690403i | ||||
\(309\) | −65.5460 | −0.212123 | ||||||||
\(310\) | 45.5670 | + | 78.9244i | 0.146990 | + | 0.254595i | ||||
\(311\) | 58.3090 | + | 33.6647i | 0.187489 | + | 0.108247i | 0.590806 | − | 0.806813i | \(-0.298810\pi\) |
−0.403318 | + | 0.915060i | \(0.632143\pi\) | |||||||
\(312\) | 36.2955 | − | 62.8656i | 0.116332 | − | 0.201492i | ||||
\(313\) | −119.714 | + | 69.1168i | −0.382472 | + | 0.220821i | −0.678893 | − | 0.734237i | \(-0.737540\pi\) |
0.296421 | + | 0.955057i | \(0.404207\pi\) | |||||||
\(314\) | − | 188.660i | − | 0.600827i | ||||||
\(315\) | −37.2314 | + | 28.6150i | −0.118195 | + | 0.0908413i | ||||
\(316\) | −185.742 | −0.587792 | ||||||||
\(317\) | −9.91216 | − | 17.1684i | −0.0312686 | − | 0.0541589i | 0.849968 | − | 0.526835i | \(-0.176621\pi\) |
−0.881236 | + | 0.472676i | \(0.843288\pi\) | |||||||
\(318\) | −44.1914 | − | 25.5139i | −0.138967 | − | 0.0802325i | ||||
\(319\) | −28.3634 | + | 49.1268i | −0.0889135 | + | 0.154003i | ||||
\(320\) | 15.4919 | − | 8.94427i | 0.0484123 | − | 0.0279508i | ||||
\(321\) | 143.816i | 0.448024i | ||||||||
\(322\) | 146.596 | + | 190.738i | 0.455267 | + | 0.592355i | ||||
\(323\) | 243.546 | 0.754013 | ||||||||
\(324\) | −9.00000 | − | 15.5885i | −0.0277778 | − | 0.0481125i | ||||
\(325\) | 64.1619 | + | 37.0439i | 0.197421 | + | 0.113981i | ||||
\(326\) | 23.1572 | − | 40.1094i | 0.0710342 | − | 0.123035i | ||||
\(327\) | −71.6885 | + | 41.3894i | −0.219231 | + | 0.126573i | ||||
\(328\) | 107.593i | 0.328027i | ||||||||
\(329\) | 23.1550 | + | 174.822i | 0.0703799 | + | 0.531374i | ||||
\(330\) | −6.33599 | −0.0192000 | ||||||||
\(331\) | 131.139 | + | 227.139i | 0.396189 | + | 0.686220i | 0.993252 | − | 0.115974i | \(-0.0369991\pi\) |
−0.597063 | + | 0.802194i | \(0.703666\pi\) | |||||||
\(332\) | −10.0401 | − | 5.79665i | −0.0302412 | − | 0.0174598i | ||||
\(333\) | −79.9737 | + | 138.519i | −0.240161 | + | 0.415972i | ||||
\(334\) | −210.238 | + | 121.381i | −0.629455 | + | 0.363416i | ||||
\(335\) | 278.368i | 0.830951i | ||||||||
\(336\) | −44.8203 | − | 18.5241i | −0.133394 | − | 0.0551312i | ||||
\(337\) | 578.125 | 1.71550 | 0.857752 | − | 0.514063i | \(-0.171860\pi\) | ||||
0.857752 | + | 0.514063i | \(0.171860\pi\) | |||||||
\(338\) | 35.7515 | + | 61.9235i | 0.105774 | + | 0.183206i | ||||
\(339\) | 24.3424 | + | 14.0541i | 0.0718064 | + | 0.0414575i | ||||
\(340\) | −28.2137 | + | 48.8676i | −0.0829816 | + | 0.143728i | ||||
\(341\) | 28.8712 | − | 16.6688i | 0.0846664 | − | 0.0488822i | ||||
\(342\) | − | 81.8921i | − | 0.239451i | ||||||
\(343\) | 316.582 | − | 132.004i | 0.922978 | − | 0.384852i | ||||
\(344\) | −179.824 | −0.522744 | ||||||||
\(345\) | −47.0582 | − | 81.5071i | −0.136400 | − | 0.236252i | ||||
\(346\) | −247.962 | − | 143.161i | −0.716654 | − | 0.413760i | ||||
\(347\) | −229.861 | + | 398.131i | −0.662423 | + | 1.14735i | 0.317554 | + | 0.948240i | \(0.397139\pi\) |
−0.979977 | + | 0.199110i | \(0.936195\pi\) | |||||||
\(348\) | 147.115 | − | 84.9366i | 0.422743 | − | 0.244071i | ||||
\(349\) | − | 389.147i | − | 1.11504i | −0.830165 | − | 0.557518i | \(-0.811754\pi\) | ||
0.830165 | − | 0.557518i | \(-0.188246\pi\) | |||||||
\(350\) | 18.9061 | − | 45.7445i | 0.0540173 | − | 0.130699i | ||||
\(351\) | 76.9943 | 0.219357 | ||||||||
\(352\) | −3.27189 | − | 5.66708i | −0.00929515 | − | 0.0160997i | ||||
\(353\) | 559.415 | + | 322.978i | 1.58475 | + | 0.914953i | 0.994153 | + | 0.107983i | \(0.0344393\pi\) |
0.590593 | + | 0.806970i | \(0.298894\pi\) | |||||||
\(354\) | −29.8991 | + | 51.7868i | −0.0844608 | + | 0.146290i | ||||
\(355\) | −230.389 | + | 133.015i | −0.648984 | + | 0.374691i | ||||
\(356\) | 303.968i | 0.853842i | ||||||||
\(357\) | 151.655 | − | 20.0866i | 0.424805 | − | 0.0562649i | ||||
\(358\) | −111.287 | −0.310858 | ||||||||
\(359\) | 33.0206 | + | 57.1934i | 0.0919794 | + | 0.159313i | 0.908344 | − | 0.418224i | \(-0.137347\pi\) |
−0.816365 | + | 0.577537i | \(0.804014\pi\) | |||||||
\(360\) | 16.4317 | + | 9.48683i | 0.0456435 | + | 0.0263523i | ||||
\(361\) | 5.78661 | − | 10.0227i | 0.0160294 | − | 0.0277637i | ||||
\(362\) | −71.2200 | + | 41.1189i | −0.196740 | + | 0.113588i | ||||
\(363\) | − | 207.260i | − | 0.570965i | ||||||
\(364\) | 164.479 | − | 126.414i | 0.451866 | − | 0.347291i | ||||
\(365\) | −88.3907 | −0.242166 | ||||||||
\(366\) | 7.82592 | + | 13.5549i | 0.0213823 | + | 0.0370352i | ||||
\(367\) | 519.556 | + | 299.966i | 1.41568 | + | 0.817346i | 0.995916 | − | 0.0902858i | \(-0.0287781\pi\) |
0.419768 | + | 0.907631i | \(0.362111\pi\) | |||||||
\(368\) | 48.6014 | − | 84.1802i | 0.132069 | − | 0.228750i | ||||
\(369\) | −98.8303 | + | 57.0597i | −0.267833 | + | 0.154633i | ||||
\(370\) | − | 168.599i | − | 0.455674i | ||||||
\(371\) | −88.8627 | − | 115.621i | −0.239522 | − | 0.311646i | ||||
\(372\) | −99.8324 | −0.268367 | ||||||||
\(373\) | −202.376 | − | 350.526i | −0.542564 | − | 0.939748i | −0.998756 | − | 0.0498667i | \(-0.984120\pi\) |
0.456192 | − | 0.889881i | \(-0.349213\pi\) | |||||||
\(374\) | 17.8762 | + | 10.3208i | 0.0477973 | + | 0.0275958i | ||||
\(375\) | −9.68246 | + | 16.7705i | −0.0258199 | + | 0.0447214i | ||||
\(376\) | 61.7093 | − | 35.6279i | 0.164120 | − | 0.0947550i | ||||
\(377\) | 726.627i | 1.92739i | ||||||||
\(378\) | −6.75409 | − | 50.9939i | −0.0178680 | − | 0.134905i | ||||
\(379\) | −239.675 | −0.632388 | −0.316194 | − | 0.948695i | \(-0.602405\pi\) | ||||
−0.316194 | + | 0.948695i | \(0.602405\pi\) | |||||||
\(380\) | 43.1609 | + | 74.7569i | 0.113581 | + | 0.196729i | ||||
\(381\) | −120.846 | − | 69.7707i | −0.317182 | − | 0.183125i | ||||
\(382\) | −260.504 | + | 451.206i | −0.681947 | + | 1.18117i | ||||
\(383\) | 553.486 | − | 319.555i | 1.44513 | − | 0.834347i | 0.446947 | − | 0.894561i | \(-0.352511\pi\) |
0.998186 | + | 0.0602133i | \(0.0191781\pi\) | |||||||
\(384\) | 19.5959i | 0.0510310i | ||||||||
\(385\) | −16.7337 | − | 6.91600i | −0.0434642 | − | 0.0179636i | ||||
\(386\) | 397.138 | 1.02885 | ||||||||
\(387\) | −95.3661 | − | 165.179i | −0.246424 | − | 0.426819i | ||||
\(388\) | 249.952 | + | 144.310i | 0.644205 | + | 0.371932i | ||||
\(389\) | −260.797 | + | 451.714i | −0.670429 | + | 1.16122i | 0.307353 | + | 0.951596i | \(0.400557\pi\) |
−0.977782 | + | 0.209622i | \(0.932777\pi\) | |||||||
\(390\) | −70.2859 | + | 40.5796i | −0.180220 | + | 0.104050i | ||||
\(391\) | 306.616i | 0.784184i | ||||||||
\(392\) | −98.1533 | − | 97.8465i | −0.250391 | − | 0.249608i | ||||
\(393\) | −215.962 | −0.549522 | ||||||||
\(394\) | −5.38659 | − | 9.32985i | −0.0136716 | − | 0.0236798i | ||||
\(395\) | 179.844 | + | 103.833i | 0.455302 | + | 0.262869i | ||||
\(396\) | 3.47036 | − | 6.01085i | 0.00876355 | − | 0.0151789i | ||||
\(397\) | 125.712 | − | 72.5800i | 0.316656 | − | 0.182821i | −0.333245 | − | 0.942840i | \(-0.608144\pi\) |
0.649901 | + | 0.760019i | \(0.274810\pi\) | |||||||
\(398\) | 285.439i | 0.717182i | ||||||||
\(399\) | 89.3887 | − | 216.282i | 0.224032 | − | 0.542060i | ||||
\(400\) | −20.0000 | −0.0500000 | ||||||||
\(401\) | −107.021 | − | 185.366i | −0.266886 | − | 0.462260i | 0.701170 | − | 0.712994i | \(-0.252661\pi\) |
−0.968056 | + | 0.250734i | \(0.919328\pi\) | |||||||
\(402\) | −264.084 | − | 152.469i | −0.656924 | − | 0.379275i | ||||
\(403\) | 213.515 | − | 369.818i | 0.529813 | − | 0.917663i | ||||
\(404\) | 67.6960 | − | 39.0843i | 0.167564 | − | 0.0967434i | ||||
\(405\) | 20.1246i | 0.0496904i | ||||||||
\(406\) | 481.250 | − | 63.7410i | 1.18535 | − | 0.156998i | ||||
\(407\) | −61.6751 | −0.151536 | ||||||||
\(408\) | −30.9066 | − | 53.5318i | −0.0757515 | − | 0.131205i | ||||
\(409\) | −479.754 | − | 276.986i | −1.17299 | − | 0.677228i | −0.218610 | − | 0.975812i | \(-0.570152\pi\) |
−0.954383 | + | 0.298585i | \(0.903486\pi\) | |||||||
\(410\) | 60.1462 | − | 104.176i | 0.146698 | − | 0.254089i | ||||
\(411\) | −114.099 | + | 65.8750i | −0.277613 | + | 0.160280i | ||||
\(412\) | 75.6861i | 0.183704i | ||||||||
\(413\) | −135.493 | + | 104.136i | −0.328070 | + | 0.252145i | ||||
\(414\) | 103.099 | 0.249032 | ||||||||
\(415\) | 6.48085 | + | 11.2252i | 0.0156165 | + | 0.0270486i | ||||
\(416\) | −72.5910 | − | 41.9104i | −0.174497 | − | 0.100746i | ||||
\(417\) | −79.4734 | + | 137.652i | −0.190584 | + | 0.330101i | ||||
\(418\) | 27.3467 | − | 15.7886i | 0.0654228 | − | 0.0377719i | ||||
\(419\) | 268.003i | 0.639626i | 0.947481 | + | 0.319813i | \(0.103620\pi\) | ||||
−0.947481 | + | 0.319813i | \(0.896380\pi\) | |||||||
\(420\) | 33.0418 | + | 42.9912i | 0.0786709 | + | 0.102360i | ||||
\(421\) | −9.12915 | −0.0216844 | −0.0108422 | − | 0.999941i | \(-0.503451\pi\) | ||||
−0.0108422 | + | 0.999941i | \(0.503451\pi\) | |||||||
\(422\) | −21.4831 | − | 37.2099i | −0.0509079 | − | 0.0881751i | ||||
\(423\) | 65.4526 | + | 37.7891i | 0.154734 | + | 0.0893358i | ||||
\(424\) | −29.4609 | + | 51.0278i | −0.0694833 | + | 0.120349i | ||||
\(425\) | 54.6357 | − | 31.5439i | 0.128554 | − | 0.0742210i | ||||
\(426\) | − | 291.422i | − | 0.684089i | ||||||
\(427\) | 5.87299 | + | 44.3416i | 0.0137541 | + | 0.103845i | ||||
\(428\) | 166.064 | 0.388000 | ||||||||
\(429\) | 14.8444 | + | 25.7112i | 0.0346022 | + | 0.0599328i | ||||
\(430\) | 174.114 | + | 100.525i | 0.404916 | + | 0.233778i | ||||
\(431\) | 134.221 | − | 232.478i | 0.311419 | − | 0.539393i | −0.667251 | − | 0.744833i | \(-0.732529\pi\) |
0.978670 | + | 0.205440i | \(0.0658626\pi\) | |||||||
\(432\) | −18.0000 | + | 10.3923i | −0.0416667 | + | 0.0240563i | ||||
\(433\) | − | 472.254i | − | 1.09066i | −0.838223 | − | 0.545328i | \(-0.816405\pi\) | ||
0.838223 | − | 0.545328i | \(-0.183595\pi\) | |||||||
\(434\) | −263.663 | − | 108.971i | −0.607519 | − | 0.251086i | ||||
\(435\) | −189.924 | −0.436607 | ||||||||
\(436\) | 47.7924 | + | 82.7788i | 0.109616 | + | 0.189860i | ||||
\(437\) | 406.215 | + | 234.528i | 0.929553 | + | 0.536678i | ||||
\(438\) | 48.4136 | − | 83.8548i | 0.110533 | − | 0.191449i | ||||
\(439\) | 475.788 | − | 274.696i | 1.08380 | − | 0.625731i | 0.151880 | − | 0.988399i | \(-0.451467\pi\) |
0.931919 | + | 0.362667i | \(0.118134\pi\) | |||||||
\(440\) | 7.31617i | 0.0166277i | ||||||||
\(441\) | 37.8241 | − | 142.050i | 0.0857689 | − | 0.322110i | ||||
\(442\) | 264.404 | 0.598198 | ||||||||
\(443\) | −235.405 | − | 407.734i | −0.531388 | − | 0.920392i | −0.999329 | − | 0.0366317i | \(-0.988337\pi\) |
0.467940 | − | 0.883760i | \(-0.344996\pi\) | |||||||
\(444\) | 159.947 | + | 92.3457i | 0.360242 | + | 0.207986i | ||||
\(445\) | 169.923 | − | 294.315i | 0.381850 | − | 0.661383i | ||||
\(446\) | 20.4994 | − | 11.8353i | 0.0459628 | − | 0.0265366i | ||||
\(447\) | − | 171.327i | − | 0.383283i | ||||||
\(448\) | −21.3898 | + | 51.7540i | −0.0477450 | + | 0.115522i | ||||
\(449\) | 559.525 | 1.24616 | 0.623079 | − | 0.782159i | \(-0.285882\pi\) | ||||
0.623079 | + | 0.782159i | \(0.285882\pi\) | |||||||
\(450\) | −10.6066 | − | 18.3712i | −0.0235702 | − | 0.0408248i | ||||
\(451\) | −38.1086 | − | 22.0020i | −0.0844980 | − | 0.0487849i | ||||
\(452\) | 16.2283 | − | 28.1082i | 0.0359032 | − | 0.0621862i | ||||
\(453\) | 146.685 | − | 84.6886i | 0.323808 | − | 0.186951i | ||||
\(454\) | 598.880i | 1.31912i | ||||||||
\(455\) | −229.924 | + | 30.4531i | −0.505327 | + | 0.0669299i | ||||
\(456\) | −94.5609 | −0.207370 | ||||||||
\(457\) | −313.689 | − | 543.325i | −0.686409 | − | 1.18890i | −0.972992 | − | 0.230840i | \(-0.925853\pi\) |
0.286583 | − | 0.958055i | \(-0.407481\pi\) | |||||||
\(458\) | 495.818 | + | 286.261i | 1.08257 | + | 0.625023i | ||||
\(459\) | 32.7814 | − | 56.7790i | 0.0714192 | − | 0.123702i | ||||
\(460\) | −94.1163 | + | 54.3381i | −0.204601 | + | 0.118126i | ||||
\(461\) | 223.659i | 0.485160i | 0.970131 | + | 0.242580i | \(0.0779936\pi\) | ||||
−0.970131 | + | 0.242580i | \(0.922006\pi\) | |||||||
\(462\) | 15.7265 | − | 12.0870i | 0.0340401 | − | 0.0261623i | ||||
\(463\) | −397.204 | −0.857893 | −0.428946 | − | 0.903330i | \(-0.641115\pi\) | ||||
−0.428946 | + | 0.903330i | \(0.641115\pi\) | |||||||
\(464\) | −98.0764 | − | 169.873i | −0.211371 | − | 0.366106i | ||||
\(465\) | 96.6623 | + | 55.8080i | 0.207876 | + | 0.120017i | ||||
\(466\) | −196.079 | + | 339.620i | −0.420771 | + | 0.728797i | ||||
\(467\) | −289.014 | + | 166.862i | −0.618874 | + | 0.357307i | −0.776430 | − | 0.630203i | \(-0.782972\pi\) |
0.157557 | + | 0.987510i | \(0.449638\pi\) | |||||||
\(468\) | − | 88.9054i | − | 0.189969i | ||||||
\(469\) | −531.035 | − | 690.937i | −1.13227 | − | 1.47321i | ||||
\(470\) | −79.6663 | −0.169503 | ||||||||
\(471\) | −115.530 | − | 200.104i | −0.245287 | − | 0.424849i | ||||
\(472\) | 59.7983 | + | 34.5246i | 0.126691 | + | 0.0731452i | ||||
\(473\) | 36.7728 | − | 63.6924i | 0.0777438 | − | 0.134656i | ||||
\(474\) | −197.009 | + | 113.743i | −0.415632 | + | 0.239965i | ||||
\(475\) | − | 96.5108i | − | 0.203181i | ||||||
\(476\) | −23.1940 | − | 175.117i | −0.0487268 | − | 0.367892i | ||||
\(477\) | −62.4961 | −0.131019 | ||||||||
\(478\) | −205.235 | − | 355.478i | −0.429363 | − | 0.743678i | ||||
\(479\) | 527.265 | + | 304.417i | 1.10076 | + | 0.635526i | 0.936421 | − | 0.350878i | \(-0.114117\pi\) |
0.164341 | + | 0.986404i | \(0.447450\pi\) | |||||||
\(480\) | 10.9545 | − | 18.9737i | 0.0228218 | − | 0.0395285i | ||||
\(481\) | −684.169 | + | 395.005i | −1.42239 | + | 0.821217i | ||||
\(482\) | 572.484i | 1.18773i | ||||||||
\(483\) | 272.291 | + | 112.537i | 0.563750 | + | 0.232996i | ||||
\(484\) | −239.324 | −0.494470 | ||||||||
\(485\) | −161.343 | − | 279.454i | −0.332666 | − | 0.576195i | ||||
\(486\) | −19.0919 | − | 11.0227i | −0.0392837 | − | 0.0226805i | ||||
\(487\) | 159.238 | − | 275.809i | 0.326978 | − | 0.566343i | −0.654932 | − | 0.755687i | \(-0.727303\pi\) |
0.981911 | + | 0.189344i | \(0.0606363\pi\) | |||||||
\(488\) | 15.6518 | − | 9.03659i | 0.0320734 | − | 0.0185176i | ||||
\(489\) | − | 56.7232i | − | 0.115998i | ||||||
\(490\) | 40.3387 | + | 149.609i | 0.0823238 | + | 0.305324i | ||||
\(491\) | 523.303 | 1.06579 | 0.532895 | − | 0.846181i | \(-0.321104\pi\) | ||||
0.532895 | + | 0.846181i | \(0.321104\pi\) | |||||||
\(492\) | 65.8869 | + | 114.119i | 0.133916 | + | 0.231950i | ||||
\(493\) | 535.847 | + | 309.371i | 1.08691 | + | 0.627528i | ||||
\(494\) | 202.240 | − | 350.290i | 0.409393 | − | 0.709090i | ||||
\(495\) | −6.72033 | + | 3.87999i | −0.0135764 | + | 0.00783836i | ||||
\(496\) | 115.277i | 0.232412i | ||||||||
\(497\) | 318.100 | − | 769.663i | 0.640039 | − | 1.54862i | ||||
\(498\) | −14.1988 | −0.0285117 | ||||||||
\(499\) | 391.909 | + | 678.806i | 0.785388 | + | 1.36033i | 0.928767 | + | 0.370664i | \(0.120870\pi\) |
−0.143379 | + | 0.989668i | \(0.545797\pi\) | |||||||
\(500\) | 19.3649 | + | 11.1803i | 0.0387298 | + | 0.0223607i | ||||
\(501\) | −148.661 | + | 257.488i | −0.296728 | + | 0.513948i | ||||
\(502\) | 190.822 | − | 110.171i | 0.380123 | − | 0.219464i | ||||
\(503\) | − | 58.0772i | − | 0.115462i | −0.998332 | − | 0.0577308i | \(-0.981613\pi\) | ||
0.998332 | − | 0.0577308i | \(-0.0183865\pi\) | |||||||
\(504\) | −58.8827 | + | 7.79895i | −0.116831 | + | 0.0154741i | ||||
\(505\) | −87.3952 | −0.173060 | ||||||||
\(506\) | 19.8773 | + | 34.4286i | 0.0392833 | + | 0.0680406i | ||||
\(507\) | 75.8404 | + | 43.7865i | 0.149587 | + | 0.0863639i | ||||
\(508\) | −80.5643 | + | 139.541i | −0.158591 | + | 0.274688i | ||||
\(509\) | −811.110 | + | 468.295i | −1.59354 | + | 0.920029i | −0.600843 | + | 0.799367i | \(0.705168\pi\) |
−0.992694 | + | 0.120662i | \(0.961498\pi\) | |||||||
\(510\) | 69.1092i | 0.135508i | ||||||||
\(511\) | 219.394 | − | 168.620i | 0.429343 | − | 0.329981i | ||||
\(512\) | 22.6274 | 0.0441942 | ||||||||
\(513\) | −50.1485 | − | 86.8597i | −0.0977553 | − | 0.169317i | ||||
\(514\) | 31.7229 | + | 18.3152i | 0.0617178 | + | 0.0356328i | ||||
\(515\) | 42.3098 | − | 73.2827i | 0.0821549 | − | 0.142297i | ||||
\(516\) | −190.732 | + | 110.119i | −0.369636 | + | 0.213410i | ||||
\(517\) | 29.1426i | 0.0563687i | ||||||||
\(518\) | 321.632 | + | 418.480i | 0.620910 | + | 0.807876i | ||||
\(519\) | −350.672 | −0.675668 | ||||||||
\(520\) | 46.8573 | + | 81.1592i | 0.0901101 | + | 0.156075i | ||||
\(521\) | −607.133 | − | 350.528i | −1.16532 | − | 0.672799i | −0.212749 | − | 0.977107i | \(-0.568242\pi\) |
−0.952574 | + | 0.304308i | \(0.901575\pi\) | |||||||
\(522\) | 104.026 | − | 180.178i | 0.199283 | − | 0.345168i | ||||
\(523\) | −594.464 | + | 343.214i | −1.13664 | + | 0.656241i | −0.945597 | − | 0.325340i | \(-0.894521\pi\) |
−0.191046 | + | 0.981581i | \(0.561188\pi\) | |||||||
\(524\) | 249.372i | 0.475900i | ||||||||
\(525\) | −7.95977 | − | 60.0969i | −0.0151615 | − | 0.114470i | ||||
\(526\) | −446.615 | −0.849078 | ||||||||
\(527\) | −181.814 | − | 314.910i | −0.344997 | − | 0.597553i | ||||
\(528\) | −6.94073 | − | 4.00723i | −0.0131453 | − | 0.00758945i | ||||
\(529\) | −30.7626 | + | 53.2824i | −0.0581524 | + | 0.100723i | ||||
\(530\) | 57.0509 | − | 32.9383i | 0.107643 | − | 0.0621478i | ||||
\(531\) | 73.2376i | 0.137924i | ||||||||
\(532\) | −249.741 | − | 103.217i | −0.469438 | − | 0.194017i | ||||
\(533\) | −563.657 | −1.05752 | ||||||||
\(534\) | 186.141 | + | 322.406i | 0.348579 | + | 0.603757i | ||||
\(535\) | −160.791 | − | 92.8327i | −0.300544 | − | 0.173519i | ||||
\(536\) | −176.056 | + | 304.937i | −0.328462 | + | 0.568913i | ||||
\(537\) | −118.038 | + | 68.1491i | −0.219810 | + | 0.126907i | ||||
\(538\) | 67.6316i | 0.125709i | ||||||||
\(539\) | 54.7282 | − | 14.7562i | 0.101537 | − | 0.0273770i | ||||
\(540\) | 23.2379 | 0.0430331 | ||||||||
\(541\) | −398.250 | − | 689.789i | −0.736136 | − | 1.27503i | −0.954223 | − | 0.299096i | \(-0.903315\pi\) |
0.218087 | − | 0.975929i | \(-0.430018\pi\) | |||||||
\(542\) | −416.599 | − | 240.524i | −0.768634 | − | 0.443771i | ||||
\(543\) | −50.3602 | + | 87.2263i | −0.0927443 | + | 0.160638i | ||||
\(544\) | −61.8132 | + | 35.6879i | −0.113627 | + | 0.0656027i | ||||
\(545\) | − | 106.867i | − | 0.196086i | ||||||
\(546\) | 97.0440 | − | 234.805i | 0.177736 | − | 0.430045i | ||||
\(547\) | −395.055 | −0.722221 | −0.361111 | − | 0.932523i | \(-0.617602\pi\) | ||||
−0.361111 | + | 0.932523i | \(0.617602\pi\) | |||||||
\(548\) | 76.0659 | + | 131.750i | 0.138806 | + | 0.240420i | ||||
\(549\) | 16.6013 | + | 9.58476i | 0.0302391 | + | 0.0174586i | ||||
\(550\) | 4.08986 | − | 7.08385i | 0.00743612 | − | 0.0128797i | ||||
\(551\) | 819.730 | − | 473.271i | 1.48771 | − | 0.858932i | ||||
\(552\) | − | 119.049i | − | 0.215668i | ||||||
\(553\) | −644.470 | + | 85.3592i | −1.16541 | + | 0.154357i | ||||
\(554\) | 297.815 | 0.537572 | ||||||||
\(555\) | −103.246 | − | 178.827i | −0.186028 | − | 0.322210i | ||||
\(556\) | 158.947 | + | 91.7680i | 0.285876 | + | 0.165050i | ||||
\(557\) | 20.8443 | − | 36.1034i | 0.0374224 | − | 0.0648175i | −0.846708 | − | 0.532059i | \(-0.821419\pi\) |
0.884130 | + | 0.467241i | \(0.154752\pi\) | |||||||
\(558\) | −105.888 | + | 61.1346i | −0.189764 | + | 0.109560i | ||||
\(559\) | − | 942.063i | − | 1.68526i | ||||||
\(560\) | 49.6419 | − | 38.1534i | 0.0886463 | − | 0.0681310i | ||||
\(561\) | 25.2808 | 0.0450637 | ||||||||
\(562\) | −333.603 | − | 577.817i | −0.593599 | − | 1.02814i | ||||
\(563\) | −640.642 | − | 369.875i | −1.13791 | − | 0.656972i | −0.191996 | − | 0.981396i | \(-0.561496\pi\) |
−0.945912 | + | 0.324424i | \(0.894830\pi\) | |||||||
\(564\) | 43.6350 | − | 75.5781i | 0.0773671 | − | 0.134004i | ||||
\(565\) | −31.4259 | + | 18.1437i | −0.0556210 | + | 0.0321128i | ||||
\(566\) | − | 662.234i | − | 1.17003i | ||||||
\(567\) | −38.3911 | − | 49.9512i | −0.0677091 | − | 0.0880974i | ||||
\(568\) | −336.505 | −0.592439 | ||||||||
\(569\) | −2.38030 | − | 4.12281i | −0.00418331 | − | 0.00724570i | 0.863926 | − | 0.503618i | \(-0.167998\pi\) |
−0.868109 | + | 0.496373i | \(0.834665\pi\) | |||||||
\(570\) | 91.5582 | + | 52.8611i | 0.160628 | + | 0.0927388i | ||||
\(571\) | −399.848 | + | 692.557i | −0.700260 | + | 1.21289i | 0.268116 | + | 0.963387i | \(0.413599\pi\) |
−0.968375 | + | 0.249498i | \(0.919734\pi\) | |||||||
\(572\) | 29.6887 | − | 17.1408i | 0.0519033 | − | 0.0299664i | ||||
\(573\) | 638.101i | 1.11362i | ||||||||
\(574\) | 49.4451 | + | 373.315i | 0.0861412 | + | 0.650374i | ||||
\(575\) | 121.504 | 0.211311 | ||||||||
\(576\) | 12.0000 | + | 20.7846i | 0.0208333 | + | 0.0360844i | ||||
\(577\) | −148.871 | − | 85.9510i | −0.258009 | − | 0.148962i | 0.365417 | − | 0.930844i | \(-0.380926\pi\) |
−0.623426 | + | 0.781882i | \(0.714260\pi\) | |||||||
\(578\) | −91.7804 | + | 158.968i | −0.158790 | + | 0.275032i | ||||
\(579\) | 421.228 | − | 243.196i | 0.727510 | − | 0.420028i | ||||
\(580\) | 219.305i | 0.378113i | ||||||||
\(581\) | −37.5000 | − | 15.4986i | −0.0645439 | − | 0.0266758i | ||||
\(582\) | 353.485 | 0.607362 | ||||||||
\(583\) | −12.0491 | − | 20.8697i | −0.0206675 | − | 0.0357971i | ||||
\(584\) | −96.8271 | − | 55.9032i | −0.165800 | − | 0.0957246i | ||||
\(585\) | −49.6996 | + | 86.0823i | −0.0849566 | + | 0.147149i | ||||
\(586\) | −77.7795 | + | 44.9060i | −0.132730 | + | 0.0766314i | ||||
\(587\) | 724.352i | 1.23399i | 0.786967 | + | 0.616994i | \(0.211650\pi\) | ||||
−0.786967 | + | 0.616994i | \(0.788350\pi\) | |||||||
\(588\) | −164.026 | − | 43.6755i | −0.278955 | − | 0.0742781i | ||||
\(589\) | −556.271 | −0.944433 | ||||||||
\(590\) | −38.5996 | − | 66.8565i | −0.0654231 | − | 0.113316i | ||||
\(591\) | −11.4267 | − | 6.59720i | −0.0193345 | − | 0.0111628i | ||||
\(592\) | 106.632 | − | 184.691i | 0.180121 | − | 0.311979i | ||||
\(593\) | −894.293 | + | 516.320i | −1.50808 | + | 0.870692i | −0.508127 | + | 0.861282i | \(0.669662\pi\) |
−0.999956 | + | 0.00940925i | \(0.997005\pi\) | |||||||
\(594\) | − | 8.50062i | − | 0.0143108i | ||||||
\(595\) | −75.4357 | + | 182.522i | −0.126783 | + | 0.306759i | ||||
\(596\) | −197.832 | −0.331933 | ||||||||
\(597\) | 174.795 | + | 302.753i | 0.292789 | + | 0.507125i | ||||
\(598\) | 441.003 | + | 254.613i | 0.737464 | + | 0.425775i | ||||
\(599\) | 212.436 | − | 367.949i | 0.354650 | − | 0.614272i | −0.632408 | − | 0.774636i | \(-0.717933\pi\) |
0.987058 | + | 0.160363i | \(0.0512666\pi\) | |||||||
\(600\) | −21.2132 | + | 12.2474i | −0.0353553 | + | 0.0204124i | ||||
\(601\) | 749.418i | 1.24695i | 0.781843 | + | 0.623476i | \(0.214280\pi\) | ||||
−0.781843 | + | 0.623476i | \(0.785720\pi\) | |||||||
\(602\) | −623.935 | + | 82.6395i | −1.03644 | + | 0.137275i | ||||
\(603\) | −373.471 | −0.619354 | ||||||||
\(604\) | −97.7900 | − | 169.377i | −0.161904 | − | 0.280426i | ||||
\(605\) | 231.724 | + | 133.786i | 0.383015 | + | 0.221134i | ||||
\(606\) | 47.8683 | − | 82.9104i | 0.0789906 | − | 0.136816i | ||||
\(607\) | −205.133 | + | 118.434i | −0.337945 | + | 0.195113i | −0.659363 | − | 0.751825i | \(-0.729174\pi\) |
0.321418 | + | 0.946938i | \(0.395841\pi\) | |||||||
\(608\) | 109.189i | 0.179588i | ||||||||
\(609\) | 471.410 | − | 362.312i | 0.774072 | − | 0.594929i | ||||
\(610\) | −20.2064 | −0.0331253 | ||||||||
\(611\) | 186.647 | + | 323.283i | 0.305478 | + | 0.529104i | ||||
\(612\) | −65.5628 | − | 37.8527i | −0.107129 | − | 0.0618508i | ||||
\(613\) | 469.189 | − | 812.659i | 0.765398 | − | 1.32571i | −0.174638 | − | 0.984633i | \(-0.555876\pi\) |
0.940036 | − | 0.341075i | \(-0.110791\pi\) | |||||||
\(614\) | −259.168 | + | 149.631i | −0.422098 | + | 0.243698i | ||||
\(615\) | − | 147.328i | − | 0.239557i | ||||||
\(616\) | −13.9568 | − | 18.1594i | −0.0226572 | − | 0.0294796i | ||||
\(617\) | 225.176 | 0.364952 | 0.182476 | − | 0.983210i | \(-0.441589\pi\) | ||||
0.182476 | + | 0.983210i | \(0.441589\pi\) | |||||||
\(618\) | 46.3481 | + | 80.2772i | 0.0749969 | + | 0.129898i | ||||
\(619\) | 916.115 | + | 528.919i | 1.47999 | + | 0.854473i | 0.999743 | − | 0.0226591i | \(-0.00721323\pi\) |
0.480248 | + | 0.877133i | \(0.340547\pi\) | |||||||
\(620\) | 64.4415 | − | 111.616i | 0.103938 | − | 0.180026i | ||||
\(621\) | 109.353 | − | 63.1351i | 0.176092 | − | 0.101667i | ||||
\(622\) | − | 95.2182i | − | 0.153084i | ||||||
\(623\) | 139.691 | + | 1054.68i | 0.224222 | + | 1.69290i | ||||
\(624\) | −102.659 | −0.164518 | ||||||||
\(625\) | −12.5000 | − | 21.6506i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 169.301 | + | 97.7460i | 0.270449 | + | 0.156144i | ||||
\(627\) | 19.3371 | − | 33.4928i | 0.0308406 | − | 0.0534175i | ||||
\(628\) | −231.060 | + | 133.403i | −0.367930 | + | 0.212424i | ||||
\(629\) | 672.716i | 1.06950i | ||||||||
\(630\) | 61.3727 | + | 25.3652i | 0.0974170 | + | 0.0402621i | ||||
\(631\) | 877.283 | 1.39031 | 0.695153 | − | 0.718862i | \(-0.255336\pi\) | ||||
0.695153 | + | 0.718862i | \(0.255336\pi\) | |||||||
\(632\) | 131.340 | + | 227.487i | 0.207816 | + | 0.359948i | ||||
\(633\) | −45.5726 | − | 26.3114i | −0.0719947 | − | 0.0415662i | ||||
\(634\) | −14.0179 | + | 24.2797i | −0.0221103 | + | 0.0382961i | ||||
\(635\) | 156.012 | − | 90.0736i | 0.245688 | − | 0.141848i | ||||
\(636\) | 72.1643i | 0.113466i | ||||||||
\(637\) | 512.598 | − | 514.205i | 0.804707 | − | 0.807230i | ||||
\(638\) | 80.2238 | 0.125743 | ||||||||
\(639\) | −178.459 | − | 309.100i | −0.279278 | − | 0.483724i | ||||
\(640\) | −21.9089 | − | 12.6491i | −0.0342327 | − | 0.0197642i | ||||
\(641\) | −26.8684 | + | 46.5374i | −0.0419163 | + | 0.0726012i | −0.886222 | − | 0.463260i | \(-0.846680\pi\) |
0.844306 | + | 0.535861i | \(0.180013\pi\) | |||||||
\(642\) | 176.138 | − | 101.693i | 0.274358 | − | 0.158401i | ||||
\(643\) | 99.7799i | 0.155179i | 0.996985 | + | 0.0775893i | \(0.0247223\pi\) | ||||
−0.996985 | + | 0.0775893i | \(0.975278\pi\) | |||||||
\(644\) | 129.947 | − | 314.415i | 0.201781 | − | 0.488222i | ||||
\(645\) | 246.234 | 0.381759 | ||||||||
\(646\) | −172.213 | − | 298.282i | −0.266584 | − | 0.461737i | ||||
\(647\) | −657.905 | − | 379.842i | −1.01685 | − | 0.587081i | −0.103663 | − | 0.994612i | \(-0.533056\pi\) |
−0.913191 | + | 0.407531i | \(0.866390\pi\) | |||||||
\(648\) | −12.7279 | + | 22.0454i | −0.0196419 | + | 0.0340207i | ||||
\(649\) | −24.4567 | + | 14.1201i | −0.0376836 | + | 0.0217567i | ||||
\(650\) | − | 104.776i | − | 0.161194i | ||||||
\(651\) | −346.388 | + | 45.8787i | −0.532086 | + | 0.0704742i | ||||
\(652\) | −65.4983 | −0.100458 | ||||||||
\(653\) | −574.896 | − | 995.749i | −0.880392 | − | 1.52488i | −0.850906 | − | 0.525318i | \(-0.823946\pi\) |
−0.0294854 | − | 0.999565i | \(-0.509387\pi\) | |||||||
\(654\) | 101.383 | + | 58.5334i | 0.155020 | + | 0.0895007i | ||||
\(655\) | 139.403 | − | 241.453i | 0.212829 | − | 0.368631i | ||||
\(656\) | 131.774 | − | 76.0796i | 0.200875 | − | 0.115975i | ||||
\(657\) | − | 118.589i | − | 0.180500i | ||||||
\(658\) | 197.740 | − | 151.977i | 0.300516 | − | 0.230968i | ||||
\(659\) | 213.700 | 0.324280 | 0.162140 | − | 0.986768i | \(-0.448160\pi\) | ||||
0.162140 | + | 0.986768i | \(0.448160\pi\) | |||||||
\(660\) | 4.48022 | + | 7.75997i | 0.00678821 | + | 0.0117575i | ||||
\(661\) | 665.936 | + | 384.479i | 1.00747 | + | 0.581662i | 0.910449 | − | 0.413621i | \(-0.135736\pi\) |
0.0970187 | + | 0.995283i | \(0.469069\pi\) | |||||||
\(662\) | 185.458 | − | 321.223i | 0.280148 | − | 0.485231i | ||||
\(663\) | 280.442 | − | 161.914i | 0.422990 | − | 0.244213i | ||||
\(664\) | 16.3954i | 0.0246919i | ||||||||
\(665\) | 184.111 | + | 239.549i | 0.276858 | + | 0.360224i | ||||
\(666\) | 226.200 | 0.339639 | ||||||||
\(667\) | 595.832 | + | 1032.01i | 0.893301 | + | 1.54724i | ||||
\(668\) | 297.322 | + | 171.659i | 0.445092 | + | 0.256974i | ||||
\(669\) | 14.4953 | − | 25.1065i | 0.0216671 | − | 0.0375284i | ||||
\(670\) | 340.930 | − | 196.836i | 0.508851 | − | 0.293785i | ||||
\(671\) | 7.39169i | 0.0110159i | ||||||||
\(672\) | 9.00545 | + | 67.9919i | 0.0134010 | + | 0.101178i | ||||
\(673\) | −1299.78 | −1.93133 | −0.965664 | − | 0.259796i | \(-0.916345\pi\) | ||||
−0.965664 | + | 0.259796i | \(0.916345\pi\) | |||||||
\(674\) | −408.796 | − | 708.056i | −0.606523 | − | 1.05053i | ||||
\(675\) | −22.5000 | − | 12.9904i | −0.0333333 | − | 0.0192450i | ||||
\(676\) | 50.5603 | − | 87.5730i | 0.0747933 | − | 0.129546i | ||||
\(677\) | 1073.60 | − | 619.840i | 1.58581 | − | 0.915569i | 0.591826 | − | 0.806066i | \(-0.298407\pi\) |
0.993986 | − | 0.109504i | \(-0.0349261\pi\) | |||||||
\(678\) | − | 39.7509i | − | 0.0586297i | ||||||
\(679\) | 933.575 | + | 385.844i | 1.37493 | + | 0.568253i | ||||
\(680\) | 79.8005 | 0.117354 | ||||||||
\(681\) | 366.738 | + | 635.208i | 0.538528 | + | 0.932758i | ||||
\(682\) | −40.8301 | − | 23.5733i | −0.0598682 | − | 0.0345649i | ||||
\(683\) | 233.043 | − | 403.643i | 0.341205 | − | 0.590985i | −0.643452 | − | 0.765487i | \(-0.722498\pi\) |
0.984657 | + | 0.174502i | \(0.0558316\pi\) | |||||||
\(684\) | −100.297 | + | 57.9065i | −0.146633 | + | 0.0846586i | ||||
\(685\) | − | 170.089i | − | 0.248304i | ||||||
\(686\) | −385.528 | − | 294.391i | −0.561995 | − | 0.429141i | ||||
\(687\) | 701.193 | 1.02066 | ||||||||
\(688\) | 127.155 | + | 220.239i | 0.184818 | + | 0.320114i | ||||
\(689\) | −267.325 | − | 154.340i | −0.387989 | − | 0.224006i | ||||
\(690\) | −66.5503 | + | 115.268i | −0.0964497 | + | 0.167056i | ||||
\(691\) | −93.9272 | + | 54.2289i | −0.135929 | + | 0.0784788i | −0.566423 | − | 0.824115i | \(-0.691673\pi\) |
0.430493 | + | 0.902594i | \(0.358340\pi\) | |||||||
\(692\) | 404.921i | 0.585145i | ||||||||
\(693\) | 9.27879 | − | 22.4507i | 0.0133893 | − | 0.0323963i | ||||
\(694\) | 650.145 | 0.936808 | ||||||||
\(695\) | −102.600 | − | 177.708i | −0.147626 | − | 0.255695i | ||||
\(696\) | −208.051 | − | 120.119i | −0.298924 | − | 0.172584i | ||||
\(697\) | −239.985 | + | 415.666i | −0.344311 | + | 0.596364i | ||||
\(698\) | −476.606 | + | 275.169i | −0.682817 | + | 0.394224i | ||||
\(699\) | 480.295i | 0.687117i | ||||||||
\(700\) | −69.3940 | + | 9.19115i | −0.0991342 | + | 0.0131302i | ||||
\(701\) | 528.400 | 0.753780 | 0.376890 | − | 0.926258i | \(-0.376993\pi\) | ||||
0.376890 | + | 0.926258i | \(0.376993\pi\) | |||||||
\(702\) | −54.4432 | − | 94.2984i | −0.0775544 | − | 0.134328i | ||||
\(703\) | 891.235 | + | 514.555i | 1.26776 | + | 0.731942i | ||||
\(704\) | −4.62715 | + | 8.01446i | −0.00657266 | + | 0.0113842i | ||||
\(705\) | −84.4989 | + | 48.7855i | −0.119857 | + | 0.0691992i | ||||
\(706\) | − | 913.521i | − | 1.29394i | ||||||
\(707\) | 216.923 | − | 166.721i | 0.306822 | − | 0.235815i | ||||
\(708\) | 84.5675 | 0.119446 | ||||||||
\(709\) | 466.779 | + | 808.484i | 0.658362 | + | 1.14032i | 0.981040 | + | 0.193808i | \(0.0620837\pi\) |
−0.322678 | + | 0.946509i | \(0.604583\pi\) | |||||||
\(710\) | 325.820 | + | 188.112i | 0.458901 | + | 0.264947i | ||||
\(711\) | −139.307 | + | 241.286i | −0.195931 | + | 0.339362i | ||||
\(712\) | 372.283 | − | 214.938i | 0.522869 | − | 0.301879i | ||||
\(713\) | − | 700.326i | − | 0.982224i | ||||||
\(714\) | −131.837 | − | 171.536i | −0.184646 | − | 0.240246i | ||||
\(715\) | −38.3280 | −0.0536055 | ||||||||
\(716\) | 78.6918 | + | 136.298i | 0.109905 | + | 0.190361i | ||||
\(717\) | −435.370 | − | 251.361i | −0.607211 | − | 0.350573i | ||||
\(718\) | 46.6982 | − | 80.8836i | 0.0650392 | − | 0.112651i | ||||
\(719\) | 557.452 | − | 321.845i | 0.775316 | − | 0.447629i | −0.0594517 | − | 0.998231i | \(-0.518935\pi\) |
0.834768 | + | 0.550602i | \(0.185602\pi\) | |||||||
\(720\) | − | 26.8328i | − | 0.0372678i | ||||||
\(721\) | 34.7821 | + | 262.608i | 0.0482414 | + | 0.364227i | ||||
\(722\) | −16.3670 | −0.0226690 | ||||||||
\(723\) | 350.574 | + | 607.211i | 0.484887 | + | 0.839850i | ||||
\(724\) | 100.720 | + | 58.1509i | 0.139116 | + | 0.0803189i | ||||
\(725\) | 122.595 | − | 212.342i | 0.169097 | − | 0.292885i | ||||
\(726\) | −253.841 | + | 146.555i | −0.349643 | + | 0.201867i | ||||
\(727\) | − | 317.353i | − | 0.436524i | −0.975890 | − | 0.218262i | \(-0.929961\pi\) | ||
0.975890 | − | 0.218262i | \(-0.0700388\pi\) | |||||||
\(728\) | −271.129 | − | 112.057i | −0.372430 | − | 0.153924i | ||||
\(729\) | −27.0000 | −0.0370370 | ||||||||
\(730\) | 62.5016 | + | 108.256i | 0.0856187 | + | 0.148296i | ||||
\(731\) | −694.719 | − | 401.096i | −0.950368 | − | 0.548695i | ||||
\(732\) | 11.0675 | − | 19.1695i | 0.0151196 | − | 0.0261879i | ||||
\(733\) | −727.023 | + | 419.747i | −0.991846 | + | 0.572643i | −0.905826 | − | 0.423651i | \(-0.860748\pi\) |
−0.0860205 | + | 0.996293i | \(0.527415\pi\) | |||||||
\(734\) | − | 848.431i | − | 1.15590i | ||||||
\(735\) | 134.402 | + | 133.982i | 0.182860 | + | 0.182288i | ||||
\(736\) | −137.466 | −0.186774 | ||||||||
\(737\) | −72.0044 | − | 124.715i | −0.0976993 | − | 0.169220i | ||||
\(738\) | 139.767 | + | 80.6946i | 0.189386 | + | 0.109342i | ||||
\(739\) | 459.403 | − | 795.709i | 0.621654 | − | 1.07674i | −0.367523 | − | 0.930014i | \(-0.619794\pi\) |
0.989178 | − | 0.146723i | \(-0.0468725\pi\) | |||||||
\(740\) | −206.491 | + | 119.218i | −0.279042 | + | 0.161105i | ||||
\(741\) | − | 495.386i | − | 0.668537i | ||||||
\(742\) | −78.7703 | + | 190.590i | −0.106160 | + | 0.256860i | ||||
\(743\) | −1034.18 | −1.39190 | −0.695952 | − | 0.718088i | \(-0.745017\pi\) | ||||
−0.695952 | + | 0.718088i | \(0.745017\pi\) | |||||||
\(744\) | 70.5922 | + | 122.269i | 0.0948819 | + | 0.164340i | ||||
\(745\) | 191.550 | + | 110.591i | 0.257114 | + | 0.148445i | ||||
\(746\) | −286.203 | + | 495.719i | −0.383651 | + | 0.664502i | ||||
\(747\) | −15.0601 | + | 8.69498i | −0.0201608 | + | 0.0116399i | ||||
\(748\) | − | 29.1917i | − | 0.0390263i | ||||||
\(749\) | 576.193 | − | 76.3160i | 0.769283 | − | 0.101891i | ||||
\(750\) | 27.3861 | 0.0365148 | ||||||||
\(751\) | 340.948 | + | 590.540i | 0.453992 | + | 0.786338i | 0.998630 | − | 0.0523339i | \(-0.0166660\pi\) |
−0.544637 | + | 0.838672i | \(0.683333\pi\) | |||||||
\(752\) | −87.2701 | − | 50.3854i | −0.116051 | − | 0.0670019i | ||||
\(753\) | 134.931 | − | 233.708i | 0.179192 | − | 0.310369i | ||||
\(754\) | 889.932 | − | 513.803i | 1.18028 | − | 0.681436i | ||||
\(755\) | 218.665i | 0.289623i | ||||||||
\(756\) | −57.6787 | + | 44.3302i | −0.0762946 | + | 0.0586378i | ||||
\(757\) | 183.172 | 0.241971 | 0.120985 | − | 0.992654i | \(-0.461395\pi\) | ||||
0.120985 | + | 0.992654i | \(0.461395\pi\) | |||||||
\(758\) | 169.476 | + | 293.541i | 0.223583 | + | 0.387257i | ||||
\(759\) | 42.1662 | + | 24.3447i | 0.0555549 | + | 0.0320747i | ||||
\(760\) | 61.0388 | − | 105.722i | 0.0803142 | − | 0.139108i | ||||
\(761\) | −673.743 | + | 388.985i | −0.885338 | + | 0.511150i | −0.872415 | − | 0.488766i | \(-0.837447\pi\) |
−0.0129235 | + | 0.999916i | \(0.504114\pi\) | |||||||
\(762\) | 197.341i | 0.258978i | ||||||||
\(763\) | 203.867 | + | 265.254i | 0.267191 | + | 0.347646i | ||||
\(764\) | 736.816 | 0.964419 | ||||||||
\(765\) | 42.3206 | + | 73.3014i | 0.0553210 | + | 0.0958189i | ||||
\(766\) | −782.747 | − | 451.919i | −1.02186 | − | 0.589973i | ||||
\(767\) | −180.867 | + | 313.271i | −0.235811 | + | 0.408437i | ||||
\(768\) | 24.0000 | − | 13.8564i | 0.0312500 | − | 0.0180422i | ||||
\(769\) | 302.546i | 0.393428i | 0.980461 | + | 0.196714i | \(0.0630271\pi\) | ||||
−0.980461 | + | 0.196714i | \(0.936973\pi\) | |||||||
\(770\) | 3.36220 | + | 25.3849i | 0.00436649 | + | 0.0329674i | ||||
\(771\) | 44.8630 | 0.0581881 | ||||||||
\(772\) | −280.819 | − | 486.393i | −0.363755 | − | 0.630042i | ||||
\(773\) | −110.995 | − | 64.0833i | −0.143591 | − | 0.0829020i | 0.426484 | − | 0.904495i | \(-0.359752\pi\) |
−0.570074 | + | 0.821593i | \(0.693086\pi\) | |||||||
\(774\) | −134.868 | + | 233.598i | −0.174248 | + | 0.301807i | ||||
\(775\) | −124.790 | + | 72.0478i | −0.161020 | + | 0.0929649i | ||||
\(776\) | − | 408.169i | − | 0.525991i | ||||||
\(777\) | 597.407 | + | 246.907i | 0.768864 | + | 0.317769i | ||||
\(778\) | 737.645 | 0.948130 | ||||||||
\(779\) | 367.125 | + | 635.879i | 0.471277 | + | 0.816277i | ||||
\(780\) | 99.3993 | + | 57.3882i | 0.127435 | + | 0.0735746i | ||||
\(781\) | 68.8130 | − | 119.188i | 0.0881089 | − | 0.152609i | ||||
\(782\) | 375.526 | − | 216.810i | 0.480213 | − | 0.277251i | ||||
\(783\) | − | 254.810i | − | 0.325428i | ||||||
\(784\) | −50.4321 | + | 189.401i | −0.0643267 | + | 0.241582i | ||||
\(785\) | 298.297 | 0.379996 | ||||||||
\(786\) | 152.708 | + | 264.499i | 0.194285 | + | 0.336512i | ||||
\(787\) | −466.311 | − | 269.225i | −0.592518 | − | 0.342090i | 0.173575 | − | 0.984821i | \(-0.444468\pi\) |
−0.766092 | + | 0.642731i | \(0.777801\pi\) | |||||||
\(788\) | −7.61779 | + | 13.1944i | −0.00966725 | + | 0.0167442i | ||||
\(789\) | −473.707 | + | 273.495i | −0.600389 | + | 0.346635i | ||||
\(790\) | − | 293.684i | − | 0.371752i | ||||||
\(791\) | 43.3898 | − | 104.985i | 0.0548544 | − | 0.132724i | ||||
\(792\) | −9.81567 | −0.0123935 | ||||||||
\(793\) | 47.3409 | + | 81.9969i | 0.0596985 | + | 0.103401i | ||||
\(794\) | −177.784 | − | 102.644i | −0.223909 | − | 0.129274i | ||||
\(795\) | 40.3411 | − | 69.8727i | 0.0507435 | − | 0.0878903i | ||||
\(796\) | 349.589 | − | 201.836i | 0.439183 | − | 0.253562i | ||||
\(797\) | − | 207.481i | − | 0.260328i | −0.991492 | − | 0.130164i | \(-0.958450\pi\) | ||
0.991492 | − | 0.130164i | \(-0.0415504\pi\) | |||||||
\(798\) | −328.098 | + | 43.4561i | −0.411150 | + | 0.0544563i | ||||
\(799\) | 317.871 | 0.397836 | ||||||||
\(800\) | 14.1421 | + | 24.4949i | 0.0176777 | + | 0.0306186i | ||||
\(801\) | 394.866 | + | 227.976i | 0.492966 | + | 0.284614i | ||||
\(802\) | −151.351 | + | 262.148i | −0.188717 | + | 0.326867i | ||||
\(803\) | 39.6010 | − | 22.8636i | 0.0493163 | − | 0.0284728i | ||||
\(804\) | 431.247i | 0.536376i | ||||||||
\(805\) | −301.584 | + | 231.789i | −0.374638 | + | 0.287936i | ||||
\(806\) | −603.911 | −0.749269 | ||||||||
\(807\) | 41.4157 | + | 71.7341i | 0.0513206 | + | 0.0888899i | ||||
\(808\) | −95.7366 | − | 55.2736i | −0.118486 | − | 0.0684079i | ||||
\(809\) | −722.858 | + | 1252.03i | −0.893520 | + | 1.54762i | −0.0578954 | + | 0.998323i | \(0.518439\pi\) |
−0.835625 | + | 0.549300i | \(0.814894\pi\) | |||||||
\(810\) | 24.6475 | − | 14.2302i | 0.0304290 | − | 0.0175682i | ||||
\(811\) | 207.868i | 0.256310i | 0.991754 | + | 0.128155i | \(0.0409055\pi\) | ||||
−0.991754 | + | 0.128155i | \(0.959094\pi\) | |||||||
\(812\) | −418.362 | − | 544.337i | −0.515224 | − | 0.670366i | ||||
\(813\) | −589.161 | −0.724675 | ||||||||
\(814\) | 43.6109 | + | 75.5363i | 0.0535760 | + | 0.0927964i | ||||
\(815\) | 63.4185 | + | 36.6147i | 0.0778141 | + | 0.0449260i | ||||
\(816\) | −43.7085 | + | 75.7054i | −0.0535644 | + | 0.0927762i | ||||
\(817\) | −1062.77 | + | 613.591i | −1.30082 | + | 0.751029i | ||||
\(818\) | 783.435i | 0.957745i | ||||||||
\(819\) | −40.8571 | − | 308.475i | −0.0498866 | − | 0.376648i | ||||
\(820\) | −170.119 | −0.207462 | ||||||||
\(821\) | −307.642 | − | 532.851i | −0.374716 | − | 0.649027i | 0.615568 | − | 0.788083i | \(-0.288926\pi\) |
−0.990285 | + | 0.139056i | \(0.955593\pi\) | |||||||
\(822\) | 161.360 | + | 93.1613i | 0.196302 | + | 0.113335i | ||||
\(823\) | 167.804 | − | 290.645i | 0.203893 | − | 0.353153i | −0.745886 | − | 0.666073i | \(-0.767974\pi\) |
0.949779 | + | 0.312920i | \(0.101307\pi\) | |||||||
\(824\) | 92.6961 | − | 53.5181i | 0.112495 | − | 0.0649492i | ||||
\(825\) | − | 10.0181i | − | 0.0121431i | ||||||
\(826\) | 223.348 | + | 92.3091i | 0.270397 | + | 0.111754i | ||||
\(827\) | −1453.38 | −1.75741 | −0.878707 | − | 0.477362i | \(-0.841593\pi\) | ||||
−0.878707 | + | 0.477362i | \(0.841593\pi\) | |||||||
\(828\) | −72.9022 | − | 126.270i | −0.0880461 | − | 0.152500i | ||||
\(829\) | −11.2468 | − | 6.49333i | −0.0135667 | − | 0.00783273i | 0.493201 | − | 0.869915i | \(-0.335827\pi\) |
−0.506768 | + | 0.862082i | \(0.669160\pi\) | |||||||
\(830\) | 9.16531 | − | 15.8748i | 0.0110425 | − | 0.0191262i | ||||
\(831\) | 315.880 | − | 182.374i | 0.380121 | − | 0.219463i | ||||
\(832\) | 118.541i | 0.142477i | ||||||||
\(833\) | −160.952 | − | 596.943i | −0.193220 | − | 0.716618i | ||||
\(834\) | 224.785 | 0.269526 | ||||||||
\(835\) | −191.920 | − | 332.416i | −0.229845 | − | 0.398103i | ||||
\(836\) | −38.6741 | − | 22.3285i | −0.0462609 | − | 0.0267087i | ||||
\(837\) | −74.8743 | + | 129.686i | −0.0894555 | + | 0.154942i | ||||
\(838\) | 328.236 | − | 189.507i | 0.391689 | − | 0.226142i | ||||
\(839\) | − | 940.714i | − | 1.12123i | −0.828076 | − | 0.560616i | \(-0.810564\pi\) | ||
0.828076 | − | 0.560616i | \(-0.189436\pi\) | |||||||
\(840\) | 29.2892 | − | 70.8671i | 0.0348680 | − | 0.0843656i | ||||
\(841\) | 1563.74 | 1.85939 | ||||||||
\(842\) | 6.45529 | + | 11.1809i | 0.00766661 | + | 0.0132790i | ||||
\(843\) | −707.678 | − | 408.578i | −0.839476 | − | 0.484671i | ||||
\(844\) | −30.3818 | + | 52.6228i | −0.0359973 | + | 0.0623492i | ||||
\(845\) | −97.9096 | + | 56.5281i | −0.115869 | + | 0.0668972i | ||||
\(846\) | − | 106.884i | − | 0.126340i | ||||||
\(847\) | −830.381 | + | 109.983i | −0.980379 | + | 0.129850i | ||||
\(848\) | 83.3281 | 0.0982643 | ||||||||
\(849\) | −405.534 | − | 702.406i | −0.477661 | − | 0.827333i | ||||
\(850\) | −77.2665 | − | 44.6098i | −0.0909018 | − | 0.0524822i | ||||
\(851\) | −647.806 | + | 1122.03i | −0.761230 | + | 1.31849i | ||||
\(852\) | −356.918 | + | 206.067i | −0.418917 | + | 0.241862i | ||||
\(853\) | 1176.97i | 1.37980i | 0.723903 | + | 0.689902i | \(0.242346\pi\) | ||||
−0.723903 | + | 0.689902i | \(0.757654\pi\) | |||||||
\(854\) | 50.1543 | − | 38.5472i | 0.0587287 | − | 0.0451372i | ||||
\(855\) | 129.483 | 0.151442 | ||||||||
\(856\) | −117.425 | − | 203.386i | −0.137179 | − | 0.237601i | ||||
\(857\) | 415.523 | + | 239.902i | 0.484858 | + | 0.279933i | 0.722439 | − | 0.691435i | \(-0.243021\pi\) |
−0.237581 | + | 0.971368i | \(0.576355\pi\) | |||||||
\(858\) | 20.9931 | − | 36.3611i | 0.0244675 | − | 0.0423789i | ||||
\(859\) | 1185.54 | − | 684.470i | 1.38014 | − | 0.796821i | 0.387960 | − | 0.921676i | \(-0.373180\pi\) |
0.992175 | + | 0.124855i | \(0.0398465\pi\) | |||||||
\(860\) | − | 284.327i | − | 0.330613i | ||||||
\(861\) | 281.052 | + | 365.681i | 0.326425 | + | 0.424717i | ||||
\(862\) | −379.635 | −0.440412 | ||||||||
\(863\) | −42.7677 | − | 74.0758i | −0.0495570 | − | 0.0858352i | 0.840183 | − | 0.542303i | \(-0.182448\pi\) |
−0.889740 | + | 0.456468i | \(0.849114\pi\) | |||||||
\(864\) | 25.4558 | + | 14.6969i | 0.0294628 | + | 0.0170103i | ||||
\(865\) | 226.358 | − | 392.063i | 0.261685 | − | 0.453252i | ||||
\(866\) | −578.391 | + | 333.934i | −0.667888 | + | 0.385605i | ||||
\(867\) | 224.815i | 0.259302i | ||||||||
\(868\) | 52.9762 | + | 399.975i | 0.0610324 | + | 0.460800i | ||||
\(869\) | −107.432 | −0.123627 | ||||||||
\(870\) | 134.297 | + | 232.609i | 0.154364 | + | 0.267366i | ||||
\(871\) | −1597.51 | − | 922.321i | −1.83411 | − | 1.05892i | ||||
\(872\) | 67.5886 | − | 117.067i | 0.0775099 | − | 0.134251i | ||||
\(873\) | 374.927 | − | 216.464i | 0.429470 | − | 0.247955i | ||||
\(874\) | − | 663.346i | − | 0.758977i | ||||||
\(875\) | 72.3284 | + | 29.8931i | 0.0826611 | + | 0.0341636i | ||||
\(876\) | −136.934 | −0.156318 | ||||||||
\(877\) | 236.635 | + | 409.863i | 0.269823 | + | 0.467347i | 0.968816 | − | 0.247781i | \(-0.0797015\pi\) |
−0.698993 | + | 0.715128i | \(0.746368\pi\) | |||||||
\(878\) | −672.865 | − | 388.479i | −0.766361 | − | 0.442459i | ||||
\(879\) | −54.9984 | + | 95.2601i | −0.0625693 | + | 0.108373i | ||||
\(880\) | 8.96044 | − | 5.17331i | 0.0101823 | − | 0.00587877i | ||||
\(881\) | 442.658i | 0.502449i | 0.967929 | + | 0.251225i | \(0.0808333\pi\) | ||||
−0.967929 | + | 0.251225i | \(0.919167\pi\) | |||||||
\(882\) | −200.721 | + | 54.1200i | −0.227575 | + | 0.0613605i | ||||
\(883\) | 432.227 | 0.489498 | 0.244749 | − | 0.969586i | \(-0.421294\pi\) | ||||
0.244749 | + | 0.969586i | \(0.421294\pi\) | |||||||
\(884\) | −186.962 | − | 323.827i | −0.211495 | − | 0.366320i | ||||
\(885\) | −81.8822 | − | 47.2747i | −0.0925222 | − | 0.0534177i | ||||
\(886\) | −332.913 | + | 576.622i | −0.375748 | + | 0.650815i | ||||
\(887\) | 451.613 | − | 260.739i | 0.509146 | − | 0.293956i | −0.223337 | − | 0.974741i | \(-0.571695\pi\) |
0.732483 | + | 0.680786i | \(0.238362\pi\) | |||||||
\(888\) | − | 261.193i | − | 0.294136i | ||||||
\(889\) | −215.407 | + | 521.191i | −0.242302 | + | 0.586266i | ||||
\(890\) | −480.615 | −0.540017 | ||||||||
\(891\) | −5.20555 | − | 9.01627i | −0.00584237 | − | 0.0101193i | ||||
\(892\) | −28.9905 | − | 16.7377i | −0.0325006 | − | 0.0187642i | ||||
\(893\) | 243.137 | − | 421.125i | 0.272270 | − | 0.471585i | ||||
\(894\) | −209.832 | + | 121.147i | −0.234712 | + | 0.135511i | ||||
\(895\) | − | 175.960i | − | 0.196604i | ||||||
\(896\) | 78.5103 | − | 10.3986i | 0.0876231 | − | 0.0116056i | ||||
\(897\) | 623.673 | 0.695287 | ||||||||
\(898\) | −395.644 | − | 685.275i | −0.440583 | − | 0.763113i | ||||
\(899\) | −1223.90 | − | 706.619i | −1.36140 | − | 0.786005i | ||||
\(900\) | −15.0000 | + | 25.9808i | −0.0166667 | + | 0.0288675i | ||||
\(901\) | −227.634 | + | 131.425i | −0.252646 | + | 0.145865i | ||||
\(902\) | 62.2311i | 0.0689923i | ||||||||
\(903\) | −611.177 | + | 469.733i | −0.676830 | + | 0.520192i | ||||
\(904\) | −45.9004 | −0.0507748 | ||||||||
\(905\) | −65.0147 | − | 112.609i | −0.0718394 | − | 0.124430i | ||||
\(906\) | −207.444 | − | 119.768i | −0.228967 | − | 0.132194i | ||||
\(907\) | −633.871 | + | 1097.90i | −0.698865 | + | 1.21047i | 0.269995 | + | 0.962862i | \(0.412978\pi\) |
−0.968860 | + | 0.247608i | \(0.920355\pi\) | |||||||
\(908\) | 733.475 | − | 423.472i | 0.807792 | − | 0.466379i | ||||
\(909\) | − | 117.253i | − | 0.128991i | ||||||
\(910\) | 199.878 | + | 260.064i | 0.219646 | + | 0.285785i | ||||
\(911\) | 789.834 | 0.866997 | 0.433498 | − | 0.901154i | \(-0.357279\pi\) | ||||
0.433498 | + | 0.901154i | \(0.357279\pi\) | |||||||
\(912\) | 66.8646 | + | 115.813i | 0.0733165 | + | 0.126988i | ||||
\(913\) | −5.80713 | − | 3.35275i | −0.00636049 | − | 0.00367223i | ||||
\(914\) | −443.623 | + | 768.378i | −0.485364 | + | 0.840676i | ||||
\(915\) | −21.4322 | + | 12.3739i | −0.0234231 | + | 0.0135234i | ||||
\(916\) | − | 809.668i | − | 0.883916i | ||||||
\(917\) | 114.601 | + | 865.244i | 0.124973 | + | 0.943560i | ||||
\(918\) | −92.7198 | −0.101002 | ||||||||
\(919\) | 506.816 | + | 877.831i | 0.551486 | + | 0.955202i | 0.998168 | + | 0.0605090i | \(0.0192724\pi\) |
−0.446681 | + | 0.894693i | \(0.647394\pi\) | |||||||
\(920\) | 133.101 | + | 76.8456i | 0.144675 | + | 0.0835279i | ||||
\(921\) | −183.260 | + | 317.415i | −0.198979 | + | 0.344642i | ||||
\(922\) | 273.925 | − | 158.151i | 0.297098 | − | 0.171530i | ||||
\(923\) | − | 1762.88i | − | 1.90995i | ||||||
\(924\) | −25.9238 | − | 10.7142i | −0.0280561 | − | 0.0115955i | ||||
\(925\) | 266.579 | 0.288194 | ||||||||
\(926\) | 280.866 | + | 486.474i | 0.303311 | + | 0.525350i | ||||
\(927\) | 98.3191 | + | 56.7645i | 0.106062 | + | 0.0612347i | ||||
\(928\) | −138.701 | + | 240.237i | −0.149462 | + | 0.258876i | ||||
\(929\) | 546.568 | − | 315.561i | 0.588340 | − | 0.339678i | −0.176101 | − | 0.984372i | \(-0.556348\pi\) |
0.764441 | + | 0.644694i | \(0.223015\pi\) | |||||||
\(930\) | − | 157.849i | − | 0.169730i | ||||||
\(931\) | −913.960 | − | 243.362i | −0.981697 | − | 0.261399i | ||||
\(932\) | 554.596 | 0.595061 | ||||||||
\(933\) | −58.3090 | − | 100.994i | −0.0624963 | − | 0.108247i | ||||
\(934\) | 408.727 | + | 235.979i | 0.437610 | + | 0.252654i | ||||
\(935\) | −16.3187 | + | 28.2647i | −0.0174531 | + | 0.0302297i | ||||
\(936\) | −108.886 | + | 62.8656i | −0.116332 | + | 0.0671641i | ||||
\(937\) | − | 867.113i | − | 0.925414i | −0.886511 | − | 0.462707i | \(-0.846878\pi\) | ||
0.886511 | − | 0.462707i | \(-0.153122\pi\) | |||||||
\(938\) | −470.724 | + | 1138.95i | −0.501838 | + | 1.21423i | ||||
\(939\) | 239.428 | 0.254982 | ||||||||
\(940\) | 56.3326 | + | 97.5709i | 0.0599283 | + | 0.103799i | ||||
\(941\) | −1151.28 | − | 664.692i | −1.22346 | − | 0.706367i | −0.257809 | − | 0.966196i | \(-0.583001\pi\) |
−0.965655 | + | 0.259829i | \(0.916334\pi\) | |||||||
\(942\) | −163.384 | + | 282.990i | −0.173444 | + | 0.300414i | ||||
\(943\) | −800.550 | + | 462.197i | −0.848939 | + | 0.490135i | ||||
\(944\) | − | 97.6502i | − | 0.103443i | ||||||
\(945\) | 80.6285 | − | 10.6791i | 0.0853212 | − | 0.0113007i | ||||
\(946\) | −104.009 | −0.109946 | ||||||||
\(947\) | 770.741 | + | 1334.96i | 0.813877 | + | 1.40968i | 0.910132 | + | 0.414319i | \(0.135980\pi\) |
−0.0962547 | + | 0.995357i | \(0.530686\pi\) | |||||||
\(948\) | 278.613 | + | 160.858i | 0.293896 | + | 0.169681i | ||||
\(949\) | 292.866 | − | 507.258i | 0.308604 | − | 0.534519i | ||||
\(950\) | −118.201 | + | 68.2434i | −0.124422 | + | 0.0718352i | ||||
\(951\) | 34.3367i | 0.0361059i | ||||||||
\(952\) | −198.073 | + | 152.233i | −0.208059 | + | 0.159908i | ||||
\(953\) | −114.779 | −0.120439 | −0.0602196 | − | 0.998185i | \(-0.519180\pi\) | ||||
−0.0602196 | + | 0.998185i | \(0.519180\pi\) | |||||||
\(954\) | 44.1914 | + | 76.5418i | 0.0463222 | + | 0.0802325i | ||||
\(955\) | −713.419 | − | 411.893i | −0.747036 | − | 0.431301i | ||||
\(956\) | −290.247 | + | 502.722i | −0.303605 | + | 0.525860i | ||||
\(957\) | 85.0902 | − | 49.1268i | 0.0889135 | − | 0.0513342i | ||||
\(958\) | − | 861.020i | − | 0.898769i | ||||||
\(959\) | 324.472 | + | 422.176i | 0.338345 | + | 0.440225i | ||||
\(960\) | −30.9839 | −0.0322749 | ||||||||
\(961\) | −65.2290 | − | 112.980i | −0.0678761 | − | 0.117565i | ||||
\(962\) | 967.561 | + | 558.622i | 1.00578 | + | 0.580688i | ||||
\(963\) | 124.548 | − | 215.724i | 0.129333 | − | 0.224012i | ||||
\(964\) | 701.147 | − | 404.808i | 0.727331 | − | 0.419925i | ||||
\(965\) | 627.930i | 0.650705i | ||||||||
\(966\) | −54.7097 | − | 413.063i | −0.0566353 | − | 0.427602i | ||||
\(967\) | −881.904 | −0.912000 | −0.456000 | − | 0.889980i | \(-0.650718\pi\) | ||||
−0.456000 | + | 0.889980i | \(0.650718\pi\) | |||||||
\(968\) | 169.227 | + | 293.110i | 0.174822 | + | 0.302800i | ||||
\(969\) | −365.319 | − | 210.917i | −0.377007 | − | 0.217665i | ||||
\(970\) | −228.174 | + | 395.208i | −0.235230 | + | 0.407431i | ||||
\(971\) | 407.102 | − | 235.041i | 0.419261 | − | 0.242060i | −0.275500 | − | 0.961301i | \(-0.588843\pi\) |
0.694761 | + | 0.719241i | \(0.255510\pi\) | |||||||
\(972\) | 31.1769i | 0.0320750i | ||||||||
\(973\) | 593.670 | + | 245.362i | 0.610144 | + | 0.252171i | ||||
\(974\) | −450.394 | −0.462417 | ||||||||
\(975\) | −64.1619 | − | 111.132i | −0.0658071 | − | 0.113981i | ||||
\(976\) | −22.1350 | − | 12.7797i | −0.0226794 | − | 0.0130939i | ||||
\(977\) | 527.971 | − | 914.472i | 0.540400 | − | 0.936000i | −0.458481 | − | 0.888704i | \(-0.651606\pi\) |
0.998881 | − | 0.0472957i | \(-0.0150603\pi\) | |||||||
\(978\) | −69.4715 | + | 40.1094i | −0.0710342 | + | 0.0410116i | ||||
\(979\) | 175.813i | 0.179584i | ||||||||
\(980\) | 154.709 | − | 155.194i | 0.157866 | − | 0.158361i | ||||
\(981\) | 143.377 | 0.146154 | ||||||||
\(982\) | −370.031 | − | 640.913i | −0.376814 | − | 0.652661i | ||||
\(983\) | −128.137 | − | 73.9799i | −0.130353 | − | 0.0752593i | 0.433406 | − | 0.901199i | \(-0.357312\pi\) |
−0.563758 | + | 0.825940i | \(0.690645\pi\) | |||||||
\(984\) | 93.1781 | − | 161.389i | 0.0946932 | − | 0.164013i | ||||
\(985\) | 14.7518 | − | 8.51695i | 0.0149764 | − | 0.00864665i | ||||
\(986\) | − | 875.034i | − | 0.887458i | ||||||
\(987\) | 116.668 | − | 282.286i | 0.118205 | − | 0.286004i | ||||
\(988\) | −572.022 | −0.578970 | ||||||||
\(989\) | −772.489 | − | 1337.99i | −0.781081 | − | 1.35287i | ||||
\(990\) | 9.50399 | + | 5.48713i | 0.00959999 | + | 0.00554255i | ||||
\(991\) | 653.220 | − | 1131.41i | 0.659153 | − | 1.14169i | −0.321682 | − | 0.946848i | \(-0.604248\pi\) |
0.980835 | − | 0.194839i | \(-0.0624183\pi\) | |||||||
\(992\) | 141.184 | − | 81.5128i | 0.142323 | − | 0.0821702i | ||||
\(993\) | − | 454.278i | − | 0.457480i | ||||||
\(994\) | −1167.57 | + | 154.643i | −1.17462 | + | 0.155577i | ||||
\(995\) | −451.318 | −0.453586 | ||||||||
\(996\) | 10.0401 | + | 17.3900i | 0.0100804 | + | 0.0174598i | ||||
\(997\) | −306.223 | − | 176.798i | −0.307145 | − | 0.177330i | 0.338503 | − | 0.940965i | \(-0.390079\pi\) |
−0.645648 | + | 0.763635i | \(0.723413\pi\) | |||||||
\(998\) | 554.242 | − | 959.976i | 0.555353 | − | 0.961900i | ||||
\(999\) | 239.921 | − | 138.519i | 0.240161 | − | 0.138657i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 210.3.o.b.31.3 | ✓ | 16 | |
3.2 | odd | 2 | 630.3.v.c.451.5 | 16 | |||
5.2 | odd | 4 | 1050.3.q.e.199.13 | 32 | |||
5.3 | odd | 4 | 1050.3.q.e.199.6 | 32 | |||
5.4 | even | 2 | 1050.3.p.i.451.8 | 16 | |||
7.3 | odd | 6 | 1470.3.f.d.391.10 | 16 | |||
7.4 | even | 3 | 1470.3.f.d.391.16 | 16 | |||
7.5 | odd | 6 | inner | 210.3.o.b.61.3 | yes | 16 | |
21.5 | even | 6 | 630.3.v.c.271.5 | 16 | |||
35.12 | even | 12 | 1050.3.q.e.649.6 | 32 | |||
35.19 | odd | 6 | 1050.3.p.i.901.8 | 16 | |||
35.33 | even | 12 | 1050.3.q.e.649.14 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.o.b.31.3 | ✓ | 16 | 1.1 | even | 1 | trivial | |
210.3.o.b.61.3 | yes | 16 | 7.5 | odd | 6 | inner | |
630.3.v.c.271.5 | 16 | 21.5 | even | 6 | |||
630.3.v.c.451.5 | 16 | 3.2 | odd | 2 | |||
1050.3.p.i.451.8 | 16 | 5.4 | even | 2 | |||
1050.3.p.i.901.8 | 16 | 35.19 | odd | 6 | |||
1050.3.q.e.199.6 | 32 | 5.3 | odd | 4 | |||
1050.3.q.e.199.13 | 32 | 5.2 | odd | 4 | |||
1050.3.q.e.649.6 | 32 | 35.12 | even | 12 | |||
1050.3.q.e.649.14 | 32 | 35.33 | even | 12 | |||
1470.3.f.d.391.10 | 16 | 7.3 | odd | 6 | |||
1470.3.f.d.391.16 | 16 | 7.4 | even | 3 |