Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [187,2,Mod(10,187)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(187, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("187.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 187 = 11 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 187.m (of order \(16\), degree \(8\), 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: | \(1.49320251780\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 10.4 | ||
Character | \(\chi\) | \(=\) | 187.10 |
Dual form | 187.2.m.a.131.4 |
$q$-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 \(\left(\mathbb{Z}/187\mathbb{Z}\right)^\times\).
\(n\) | \(35\) | \(122\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.50318 | − | 0.622639i | −1.06291 | − | 0.440272i | −0.218427 | − | 0.975853i | \(-0.570093\pi\) |
−0.844484 | + | 0.535581i | \(0.820093\pi\) | |||||||
\(3\) | 1.02275 | + | 0.683380i | 0.590485 | + | 0.394550i | 0.814609 | − | 0.580011i | \(-0.196952\pi\) |
−0.224123 | + | 0.974561i | \(0.571952\pi\) | |||||||
\(4\) | 0.457668 | + | 0.457668i | 0.228834 | + | 0.228834i | ||||
\(5\) | 0.908813 | − | 0.180774i | 0.406434 | − | 0.0808447i | 0.0123601 | − | 0.999924i | \(-0.496066\pi\) |
0.394073 | + | 0.919079i | \(0.371066\pi\) | |||||||
\(6\) | −1.11188 | − | 1.66405i | −0.453924 | − | 0.679346i | ||||
\(7\) | 0.274197 | − | 1.37848i | 0.103637 | − | 0.521017i | −0.893737 | − | 0.448591i | \(-0.851926\pi\) |
0.997374 | − | 0.0724256i | \(-0.0230740\pi\) | |||||||
\(8\) | 0.842281 | + | 2.03345i | 0.297791 | + | 0.718932i | ||||
\(9\) | −0.569040 | − | 1.37378i | −0.189680 | − | 0.457928i | ||||
\(10\) | −1.47867 | − | 0.294126i | −0.467597 | − | 0.0930107i | ||||
\(11\) | 3.30396 | + | 0.289591i | 0.996181 | + | 0.0873149i | ||||
\(12\) | 0.155319 | + | 0.780842i | 0.0448368 | + | 0.225410i | ||||
\(13\) | 1.11553 | + | 1.11553i | 0.309391 | + | 0.309391i | 0.844673 | − | 0.535282i | \(-0.179795\pi\) |
−0.535282 | + | 0.844673i | \(0.679795\pi\) | |||||||
\(14\) | −1.27046 | + | 1.90138i | −0.339546 | + | 0.508166i | ||||
\(15\) | 1.05303 | + | 0.436178i | 0.271890 | + | 0.112621i | ||||
\(16\) | − | 4.87556i | − | 1.21889i | ||||||
\(17\) | 3.74754 | − | 1.71928i | 0.908913 | − | 0.416986i | ||||
\(18\) | 2.41936i | 0.570248i | ||||||||
\(19\) | −1.09531 | − | 0.453691i | −0.251281 | − | 0.104084i | 0.253488 | − | 0.967339i | \(-0.418422\pi\) |
−0.504769 | + | 0.863255i | \(0.668422\pi\) | |||||||
\(20\) | 0.498670 | + | 0.333200i | 0.111506 | + | 0.0745059i | ||||
\(21\) | 1.22246 | − | 1.22246i | 0.266763 | − | 0.266763i | ||||
\(22\) | −4.78615 | − | 2.49248i | −1.02041 | − | 0.531399i | ||||
\(23\) | 5.77248 | − | 3.85705i | 1.20364 | − | 0.804250i | 0.218477 | − | 0.975842i | \(-0.429891\pi\) |
0.985168 | + | 0.171592i | \(0.0548912\pi\) | |||||||
\(24\) | −0.528173 | + | 2.65531i | −0.107813 | + | 0.542012i | ||||
\(25\) | −3.82614 | + | 1.58484i | −0.765227 | + | 0.316967i | ||||
\(26\) | −0.982270 | − | 2.37141i | −0.192639 | − | 0.465072i | ||||
\(27\) | 1.07674 | − | 5.41316i | 0.207220 | − | 1.04176i | ||||
\(28\) | 0.756378 | − | 0.505396i | 0.142942 | − | 0.0955108i | ||||
\(29\) | 0.380882 | − | 0.0757622i | 0.0707281 | − | 0.0140687i | −0.159599 | − | 0.987182i | \(-0.551020\pi\) |
0.230327 | + | 0.973113i | \(0.426020\pi\) | |||||||
\(30\) | −1.31131 | − | 1.31131i | −0.239412 | − | 0.239412i | ||||
\(31\) | −3.10456 | + | 4.64630i | −0.557595 | + | 0.834500i | −0.997994 | − | 0.0633020i | \(-0.979837\pi\) |
0.440399 | + | 0.897802i | \(0.354837\pi\) | |||||||
\(32\) | −1.35115 | + | 3.26197i | −0.238852 | + | 0.576641i | ||||
\(33\) | 3.18122 | + | 2.55404i | 0.553780 | + | 0.444601i | ||||
\(34\) | −6.70374 | + | 0.251025i | −1.14968 | + | 0.0430505i | ||||
\(35\) | − | 1.30235i | − | 0.220137i | ||||||
\(36\) | 0.368306 | − | 0.889169i | 0.0613843 | − | 0.148195i | ||||
\(37\) | −0.388302 | − | 0.259455i | −0.0638365 | − | 0.0426542i | 0.523242 | − | 0.852184i | \(-0.324722\pi\) |
−0.587079 | + | 0.809530i | \(0.699722\pi\) | |||||||
\(38\) | 1.36396 | + | 1.36396i | 0.221264 | + | 0.221264i | ||||
\(39\) | 0.378577 | + | 1.90323i | 0.0606208 | + | 0.304761i | ||||
\(40\) | 1.13307 | + | 1.69576i | 0.179154 | + | 0.268123i | ||||
\(41\) | −1.30051 | + | 6.53809i | −0.203105 | + | 1.02108i | 0.735878 | + | 0.677114i | \(0.236770\pi\) |
−0.938983 | + | 0.343964i | \(0.888230\pi\) | |||||||
\(42\) | −2.59874 | + | 1.07643i | −0.400994 | + | 0.166097i | ||||
\(43\) | −9.81295 | + | 4.06466i | −1.49646 | + | 0.619855i | −0.972712 | − | 0.232018i | \(-0.925467\pi\) |
−0.523750 | + | 0.851872i | \(0.675467\pi\) | |||||||
\(44\) | 1.37958 | + | 1.64465i | 0.207980 | + | 0.247941i | ||||
\(45\) | −0.765496 | − | 1.14565i | −0.114113 | − | 0.170783i | ||||
\(46\) | −11.0786 | + | 2.20368i | −1.63346 | + | 0.324915i | ||||
\(47\) | −2.38298 | + | 2.38298i | −0.347593 | + | 0.347593i | −0.859212 | − | 0.511619i | \(-0.829046\pi\) |
0.511619 | + | 0.859212i | \(0.329046\pi\) | |||||||
\(48\) | 3.33186 | − | 4.98648i | 0.480913 | − | 0.719737i | ||||
\(49\) | 4.64213 | + | 1.92283i | 0.663162 | + | 0.274691i | ||||
\(50\) | 6.73817 | 0.952921 | ||||||||
\(51\) | 5.00772 | + | 0.802603i | 0.701221 | + | 0.112387i | ||||
\(52\) | 1.02108i | 0.141599i | ||||||||
\(53\) | −4.71220 | + | 11.3763i | −0.647271 | + | 1.56265i | 0.169401 | + | 0.985547i | \(0.445817\pi\) |
−0.816672 | + | 0.577103i | \(0.804183\pi\) | |||||||
\(54\) | −4.98899 | + | 7.46655i | −0.678915 | + | 1.01607i | ||||
\(55\) | 3.05503 | − | 0.334086i | 0.411940 | − | 0.0450482i | ||||
\(56\) | 3.03402 | − | 0.603503i | 0.405437 | − | 0.0806465i | ||||
\(57\) | −0.810183 | − | 1.21252i | −0.107311 | − | 0.160603i | ||||
\(58\) | −0.619709 | − | 0.123268i | −0.0813717 | − | 0.0161858i | ||||
\(59\) | −6.58196 | + | 2.72634i | −0.856898 | + | 0.354939i | −0.767493 | − | 0.641057i | \(-0.778496\pi\) |
−0.0894042 | + | 0.995995i | \(0.528496\pi\) | |||||||
\(60\) | 0.282312 | + | 0.681562i | 0.0364463 | + | 0.0879892i | ||||
\(61\) | −6.87671 | − | 1.36786i | −0.880472 | − | 0.175137i | −0.265903 | − | 0.964000i | \(-0.585670\pi\) |
−0.614569 | + | 0.788863i | \(0.710670\pi\) | |||||||
\(62\) | 7.55969 | − | 5.05122i | 0.960081 | − | 0.641506i | ||||
\(63\) | −2.04976 | + | 0.407723i | −0.258246 | + | 0.0513683i | ||||
\(64\) | −2.83302 | + | 2.83302i | −0.354128 | + | 0.354128i | ||||
\(65\) | 1.21546 | + | 0.812146i | 0.150760 | + | 0.100734i | ||||
\(66\) | −3.19172 | − | 5.81994i | −0.392874 | − | 0.716385i | ||||
\(67\) | − | 11.1789i | − | 1.36572i | −0.730548 | − | 0.682862i | \(-0.760735\pi\) | ||
0.730548 | − | 0.682862i | \(-0.239265\pi\) | |||||||
\(68\) | 2.50199 | + | 0.928272i | 0.303411 | + | 0.112570i | ||||
\(69\) | 8.53963 | 1.02805 | ||||||||
\(70\) | −0.810893 | + | 1.95767i | −0.0969203 | + | 0.233986i | ||||
\(71\) | 1.29342 | + | 0.864235i | 0.153501 | + | 0.102566i | 0.629949 | − | 0.776637i | \(-0.283076\pi\) |
−0.476448 | + | 0.879203i | \(0.658076\pi\) | |||||||
\(72\) | 2.31422 | − | 2.31422i | 0.272734 | − | 0.272734i | ||||
\(73\) | −1.40371 | − | 7.05691i | −0.164291 | − | 0.825948i | −0.971748 | − | 0.236021i | \(-0.924156\pi\) |
0.807457 | − | 0.589927i | \(-0.200844\pi\) | |||||||
\(74\) | 0.422143 | + | 0.631781i | 0.0490731 | + | 0.0734431i | ||||
\(75\) | −4.99623 | − | 0.993812i | −0.576915 | − | 0.114755i | ||||
\(76\) | −0.293647 | − | 0.708928i | −0.0336837 | − | 0.0813196i | ||||
\(77\) | 1.30513 | − | 4.47504i | 0.148733 | − | 0.509978i | ||||
\(78\) | 0.615957 | − | 3.09663i | 0.0697434 | − | 0.350624i | ||||
\(79\) | 1.52995 | − | 1.02228i | 0.172133 | − | 0.115016i | −0.466519 | − | 0.884511i | \(-0.654492\pi\) |
0.638652 | + | 0.769495i | \(0.279492\pi\) | |||||||
\(80\) | −0.881376 | − | 4.43097i | −0.0985408 | − | 0.495398i | ||||
\(81\) | 1.64614 | − | 1.64614i | 0.182904 | − | 0.182904i | ||||
\(82\) | 6.02577 | − | 9.01820i | 0.665435 | − | 0.995894i | ||||
\(83\) | 2.30435 | − | 5.56319i | 0.252935 | − | 0.610640i | −0.745503 | − | 0.666502i | \(-0.767791\pi\) |
0.998438 | + | 0.0558623i | \(0.0177908\pi\) | |||||||
\(84\) | 1.11896 | 0.122089 | ||||||||
\(85\) | 3.09502 | − | 2.23996i | 0.335702 | − | 0.242958i | ||||
\(86\) | 17.2815 | 1.86351 | ||||||||
\(87\) | 0.441322 | + | 0.182802i | 0.0473147 | + | 0.0195984i | ||||
\(88\) | 2.19399 | + | 6.96234i | 0.233880 | + | 0.742187i | ||||
\(89\) | 5.79966 | + | 5.79966i | 0.614762 | + | 0.614762i | 0.944183 | − | 0.329421i | \(-0.106853\pi\) |
−0.329421 | + | 0.944183i | \(0.606853\pi\) | |||||||
\(90\) | 0.437357 | + | 2.19874i | 0.0461015 | + | 0.231768i | ||||
\(91\) | 1.84360 | − | 1.23186i | 0.193262 | − | 0.129134i | ||||
\(92\) | 4.40713 | + | 0.876632i | 0.459475 | + | 0.0913952i | ||||
\(93\) | −6.35038 | + | 2.63041i | −0.658503 | + | 0.272761i | ||||
\(94\) | 5.06579 | − | 2.09832i | 0.522496 | − | 0.216425i | ||||
\(95\) | −1.07745 | − | 0.214317i | −0.110544 | − | 0.0219885i | ||||
\(96\) | −3.61106 | + | 2.41283i | −0.368552 | + | 0.246259i | ||||
\(97\) | −0.00173268 | − | 0.00871075i | −0.000175927 | − | 0.000884443i | 0.980697 | − | 0.195533i | \(-0.0626435\pi\) |
−0.980873 | + | 0.194648i | \(0.937644\pi\) | |||||||
\(98\) | −5.78075 | − | 5.78075i | −0.583944 | − | 0.583944i | ||||
\(99\) | −1.48225 | − | 4.70371i | −0.148972 | − | 0.472741i | ||||
\(100\) | −2.47643 | − | 1.02577i | −0.247643 | − | 0.102577i | ||||
\(101\) | 1.65002 | 0.164183 | 0.0820914 | − | 0.996625i | \(-0.473840\pi\) | ||||
0.0820914 | + | 0.996625i | \(0.473840\pi\) | |||||||
\(102\) | −7.02779 | − | 4.32446i | −0.695855 | − | 0.428186i | ||||
\(103\) | 2.99219 | 0.294829 | 0.147414 | − | 0.989075i | \(-0.452905\pi\) | ||||
0.147414 | + | 0.989075i | \(0.452905\pi\) | |||||||
\(104\) | −1.32878 | + | 3.20795i | −0.130297 | + | 0.314565i | ||||
\(105\) | 0.889999 | − | 1.33198i | 0.0868550 | − | 0.129988i | ||||
\(106\) | 14.1666 | − | 14.1666i | 1.37598 | − | 1.37598i | ||||
\(107\) | −3.04982 | − | 15.3325i | −0.294837 | − | 1.48225i | −0.789817 | − | 0.613342i | \(-0.789825\pi\) |
0.494980 | − | 0.868904i | \(-0.335175\pi\) | |||||||
\(108\) | 2.97022 | − | 1.98464i | 0.285810 | − | 0.190972i | ||||
\(109\) | −2.36968 | + | 11.9132i | −0.226975 | + | 1.14108i | 0.684275 | + | 0.729224i | \(0.260119\pi\) |
−0.911250 | + | 0.411854i | \(0.864881\pi\) | |||||||
\(110\) | −4.80029 | − | 1.39999i | −0.457690 | − | 0.133484i | ||||
\(111\) | −0.219830 | − | 0.530716i | −0.0208653 | − | 0.0503734i | ||||
\(112\) | −6.72087 | − | 1.33686i | −0.635062 | − | 0.126322i | ||||
\(113\) | 4.38072 | + | 6.55621i | 0.412103 | + | 0.616756i | 0.978220 | − | 0.207569i | \(-0.0665550\pi\) |
−0.566117 | + | 0.824325i | \(0.691555\pi\) | |||||||
\(114\) | 0.462889 | + | 2.32710i | 0.0433535 | + | 0.217953i | ||||
\(115\) | 4.54885 | − | 4.54885i | 0.424182 | − | 0.424182i | ||||
\(116\) | 0.208992 | + | 0.139644i | 0.0194044 | + | 0.0129656i | ||||
\(117\) | 0.897713 | − | 2.16727i | 0.0829936 | − | 0.200364i | ||||
\(118\) | 11.5914 | 1.06708 | ||||||||
\(119\) | −1.34243 | − | 5.63734i | −0.123060 | − | 0.516774i | ||||
\(120\) | 2.50866i | 0.229008i | ||||||||
\(121\) | 10.8323 | + | 1.91359i | 0.984752 | + | 0.173963i | ||||
\(122\) | 9.48527 | + | 6.33786i | 0.858756 | + | 0.573803i | ||||
\(123\) | −5.79809 | + | 5.79809i | −0.522796 | + | 0.522796i | ||||
\(124\) | −3.54732 | + | 0.705606i | −0.318559 | + | 0.0633653i | ||||
\(125\) | −7.04302 | + | 4.70599i | −0.629947 | + | 0.420917i | ||||
\(126\) | 3.33504 | + | 0.663380i | 0.297109 | + | 0.0590986i | ||||
\(127\) | 0.171998 | + | 0.415239i | 0.0152623 | + | 0.0368465i | 0.931327 | − | 0.364184i | \(-0.118652\pi\) |
−0.916065 | + | 0.401031i | \(0.868652\pi\) | |||||||
\(128\) | 12.5464 | − | 5.19691i | 1.10896 | − | 0.459346i | ||||
\(129\) | −12.8139 | − | 2.54884i | −1.12820 | − | 0.224413i | ||||
\(130\) | −1.32139 | − | 1.97760i | −0.115894 | − | 0.173447i | ||||
\(131\) | −19.1292 | + | 3.80504i | −1.67133 | + | 0.332448i | −0.937791 | − | 0.347201i | \(-0.887132\pi\) |
−0.733538 | + | 0.679649i | \(0.762132\pi\) | |||||||
\(132\) | 0.287043 | + | 2.62485i | 0.0249839 | + | 0.228464i | ||||
\(133\) | −0.925734 | + | 1.38546i | −0.0802713 | + | 0.120135i | ||||
\(134\) | −6.96044 | + | 16.8040i | −0.601290 | + | 1.45164i | ||||
\(135\) | − | 5.11420i | − | 0.440160i | ||||||
\(136\) | 6.65254 | + | 6.17231i | 0.570451 | + | 0.529271i | ||||
\(137\) | −7.06706 | −0.603779 | −0.301890 | − | 0.953343i | \(-0.597617\pi\) | ||||
−0.301890 | + | 0.953343i | \(0.597617\pi\) | |||||||
\(138\) | −12.8366 | − | 5.31711i | −1.09273 | − | 0.452622i | ||||
\(139\) | −6.12182 | + | 9.16196i | −0.519246 | + | 0.777107i | −0.994720 | − | 0.102623i | \(-0.967277\pi\) |
0.475474 | + | 0.879730i | \(0.342277\pi\) | |||||||
\(140\) | 0.596044 | − | 0.596044i | 0.0503749 | − | 0.0503749i | ||||
\(141\) | −4.06567 | + | 0.808712i | −0.342391 | + | 0.0681058i | ||||
\(142\) | −1.40614 | − | 2.10444i | −0.118001 | − | 0.176600i | ||||
\(143\) | 3.36260 | + | 4.00870i | 0.281195 | + | 0.335224i | ||||
\(144\) | −6.69797 | + | 2.77439i | −0.558164 | + | 0.231199i | ||||
\(145\) | 0.332455 | − | 0.137707i | 0.0276089 | − | 0.0114360i | ||||
\(146\) | −2.28388 | + | 11.4818i | −0.189015 | + | 0.950243i | ||||
\(147\) | 3.43372 | + | 5.13892i | 0.283208 | + | 0.423851i | ||||
\(148\) | −0.0589692 | − | 0.296458i | −0.00484724 | − | 0.0243687i | ||||
\(149\) | 13.8538 | + | 13.8538i | 1.13495 | + | 1.13495i | 0.989343 | + | 0.145605i | \(0.0465127\pi\) |
0.145605 | + | 0.989343i | \(0.453487\pi\) | |||||||
\(150\) | 6.89146 | + | 4.60473i | 0.562686 | + | 0.375974i | ||||
\(151\) | −2.24707 | + | 5.42492i | −0.182864 | + | 0.441474i | −0.988555 | − | 0.150864i | \(-0.951795\pi\) |
0.805690 | + | 0.592337i | \(0.201795\pi\) | |||||||
\(152\) | − | 2.60938i | − | 0.211649i | ||||||
\(153\) | −4.49442 | − | 4.16998i | −0.363352 | − | 0.337123i | ||||
\(154\) | −4.74818 | + | 5.91418i | −0.382619 | + | 0.476578i | ||||
\(155\) | −1.98153 | + | 4.78384i | −0.159161 | + | 0.384247i | ||||
\(156\) | −0.697787 | + | 1.04431i | −0.0558677 | + | 0.0836119i | ||||
\(157\) | 1.00346 | + | 1.00346i | 0.0800851 | + | 0.0800851i | 0.746015 | − | 0.665930i | \(-0.231965\pi\) |
−0.665930 | + | 0.746015i | \(0.731965\pi\) | |||||||
\(158\) | −2.93631 | + | 0.584069i | −0.233601 | + | 0.0464660i | ||||
\(159\) | −12.5937 | + | 8.41485i | −0.998747 | + | 0.667341i | ||||
\(160\) | −0.638265 | + | 3.20878i | −0.0504593 | + | 0.253676i | ||||
\(161\) | −3.73407 | − | 9.01484i | −0.294286 | − | 0.710469i | ||||
\(162\) | −3.49940 | + | 1.44950i | −0.274939 | + | 0.113883i | ||||
\(163\) | 3.43589 | − | 17.2734i | 0.269120 | − | 1.35296i | −0.575594 | − | 0.817736i | \(-0.695229\pi\) |
0.844713 | − | 0.535219i | \(-0.179771\pi\) | |||||||
\(164\) | −3.58748 | + | 2.39707i | −0.280135 | + | 0.187180i | ||||
\(165\) | 3.35284 | + | 1.74606i | 0.261018 | + | 0.135931i | ||||
\(166\) | −6.92772 | + | 6.92772i | −0.537695 | + | 0.537695i | ||||
\(167\) | 13.4685 | + | 8.99937i | 1.04222 | + | 0.696392i | 0.954030 | − | 0.299711i | \(-0.0968903\pi\) |
0.0881943 | + | 0.996103i | \(0.471890\pi\) | |||||||
\(168\) | 3.51546 | + | 1.45615i | 0.271224 | + | 0.112345i | ||||
\(169\) | − | 10.5112i | − | 0.808554i | ||||||
\(170\) | −6.04706 | + | 1.44000i | −0.463789 | + | 0.110443i | ||||
\(171\) | 1.76288i | 0.134811i | ||||||||
\(172\) | −6.35134 | − | 2.63081i | −0.484285 | − | 0.200598i | ||||
\(173\) | 6.52949 | − | 9.77207i | 0.496428 | − | 0.742957i | −0.495658 | − | 0.868518i | \(-0.665073\pi\) |
0.992086 | + | 0.125561i | \(0.0400731\pi\) | |||||||
\(174\) | −0.549569 | − | 0.549569i | −0.0416627 | − | 0.0416627i | ||||
\(175\) | 1.13555 | + | 5.70881i | 0.0858397 | + | 0.431545i | ||||
\(176\) | 1.41192 | − | 16.1086i | 0.106427 | − | 1.21423i | ||||
\(177\) | −8.59482 | − | 1.70962i | −0.646026 | − | 0.128503i | ||||
\(178\) | −5.10686 | − | 12.3290i | −0.382775 | − | 0.924101i | ||||
\(179\) | −1.96651 | − | 4.74757i | −0.146984 | − | 0.354850i | 0.833191 | − | 0.552985i | \(-0.186511\pi\) |
−0.980175 | + | 0.198135i | \(0.936511\pi\) | |||||||
\(180\) | 0.173982 | − | 0.874669i | 0.0129679 | − | 0.0651940i | ||||
\(181\) | −1.86079 | − | 2.78487i | −0.138312 | − | 0.206998i | 0.755847 | − | 0.654748i | \(-0.227225\pi\) |
−0.894159 | + | 0.447750i | \(0.852225\pi\) | |||||||
\(182\) | −3.53828 | + | 0.703807i | −0.262275 | + | 0.0521697i | ||||
\(183\) | −6.09839 | − | 6.09839i | −0.450806 | − | 0.450806i | ||||
\(184\) | 12.7051 | + | 8.48930i | 0.936635 | + | 0.625840i | ||||
\(185\) | −0.399797 | − | 0.165601i | −0.0293937 | − | 0.0121753i | ||||
\(186\) | 11.1836 | 0.820020 | ||||||||
\(187\) | 12.8796 | − | 4.59517i | 0.941850 | − | 0.336032i | ||||
\(188\) | −2.18123 | −0.159082 | ||||||||
\(189\) | −7.16669 | − | 2.96854i | −0.521300 | − | 0.215930i | ||||
\(190\) | 1.48616 | + | 0.993018i | 0.107817 | + | 0.0720411i | ||||
\(191\) | −17.8337 | − | 17.8337i | −1.29040 | − | 1.29040i | −0.934537 | − | 0.355867i | \(-0.884186\pi\) |
−0.355867 | − | 0.934537i | \(-0.615814\pi\) | |||||||
\(192\) | −4.83350 | + | 0.961444i | −0.348828 | + | 0.0693862i | ||||
\(193\) | 4.75083 | + | 7.11013i | 0.341973 | + | 0.511798i | 0.962098 | − | 0.272705i | \(-0.0879182\pi\) |
−0.620125 | + | 0.784503i | \(0.712918\pi\) | |||||||
\(194\) | −0.00281912 | + | 0.0141727i | −0.000202401 | + | 0.00101754i | ||||
\(195\) | 0.688111 | + | 1.66125i | 0.0492766 | + | 0.118964i | ||||
\(196\) | 1.24454 | + | 3.00458i | 0.0888955 | + | 0.214613i | ||||
\(197\) | 22.9077 | + | 4.55662i | 1.63210 | + | 0.324646i | 0.924272 | − | 0.381735i | \(-0.124673\pi\) |
0.707832 | + | 0.706381i | \(0.249673\pi\) | |||||||
\(198\) | −0.700623 | + | 7.99345i | −0.0497911 | + | 0.568070i | ||||
\(199\) | 2.01753 | + | 10.1428i | 0.143019 | + | 0.719006i | 0.984032 | + | 0.177991i | \(0.0569597\pi\) |
−0.841013 | + | 0.541015i | \(0.818040\pi\) | |||||||
\(200\) | −6.44536 | − | 6.44536i | −0.455756 | − | 0.455756i | ||||
\(201\) | 7.63946 | − | 11.4333i | 0.538846 | − | 0.806440i | ||||
\(202\) | −2.48028 | − | 1.02736i | −0.174512 | − | 0.0722851i | ||||
\(203\) | − | 0.545812i | − | 0.0383085i | ||||||
\(204\) | 1.92455 | + | 2.65920i | 0.134745 | + | 0.186181i | ||||
\(205\) | 6.17700i | 0.431420i | ||||||||
\(206\) | −4.49781 | − | 1.86305i | −0.313377 | − | 0.129805i | ||||
\(207\) | −8.58352 | − | 5.73532i | −0.596596 | − | 0.398633i | ||||
\(208\) | 5.43882 | − | 5.43882i | 0.377114 | − | 0.377114i | ||||
\(209\) | −3.48747 | − | 1.81617i | −0.241233 | − | 0.125627i | ||||
\(210\) | −2.16717 | + | 1.44806i | −0.149549 | + | 0.0999256i | ||||
\(211\) | −0.238835 | + | 1.20070i | −0.0164421 | + | 0.0826598i | −0.988135 | − | 0.153587i | \(-0.950917\pi\) |
0.971693 | + | 0.236247i | \(0.0759174\pi\) | |||||||
\(212\) | −7.36318 | + | 3.04993i | −0.505705 | + | 0.209470i | ||||
\(213\) | 0.732244 | + | 1.76779i | 0.0501725 | + | 0.121127i | ||||
\(214\) | −4.96216 | + | 24.9465i | −0.339206 | + | 1.70531i | ||||
\(215\) | −8.18336 | + | 5.46794i | −0.558100 | + | 0.372911i | ||||
\(216\) | 11.9143 | − | 2.36990i | 0.810664 | − | 0.161251i | ||||
\(217\) | 5.55357 | + | 5.55357i | 0.377001 | + | 0.377001i | ||||
\(218\) | 10.9797 | − | 16.4323i | 0.743639 | − | 1.11293i | ||||
\(219\) | 3.38691 | − | 8.17672i | 0.228866 | − | 0.552531i | ||||
\(220\) | 1.55109 | + | 1.24529i | 0.104575 | + | 0.0839574i | ||||
\(221\) | 6.09838 | + | 2.26258i | 0.410222 | + | 0.152198i | ||||
\(222\) | 0.934639i | 0.0627288i | ||||||||
\(223\) | 5.79003 | − | 13.9784i | 0.387729 | − | 0.936061i | −0.602691 | − | 0.797975i | \(-0.705905\pi\) |
0.990420 | − | 0.138086i | \(-0.0440951\pi\) | |||||||
\(224\) | 4.12608 | + | 2.75696i | 0.275686 | + | 0.184207i | ||||
\(225\) | 4.35445 | + | 4.35445i | 0.290297 | + | 0.290297i | ||||
\(226\) | −2.50287 | − | 12.5828i | −0.166489 | − | 0.836995i | ||||
\(227\) | −2.77620 | − | 4.15488i | −0.184263 | − | 0.275769i | 0.727826 | − | 0.685762i | \(-0.240531\pi\) |
−0.912089 | + | 0.409993i | \(0.865531\pi\) | |||||||
\(228\) | 0.184139 | − | 0.925729i | 0.0121949 | − | 0.0613079i | ||||
\(229\) | −3.79552 | + | 1.57216i | −0.250815 | + | 0.103891i | −0.504549 | − | 0.863383i | \(-0.668341\pi\) |
0.253734 | + | 0.967274i | \(0.418341\pi\) | |||||||
\(230\) | −9.67005 | + | 4.00546i | −0.637624 | + | 0.264113i | ||||
\(231\) | 4.39297 | − | 3.68495i | 0.289036 | − | 0.242452i | ||||
\(232\) | 0.474868 | + | 0.710690i | 0.0311766 | + | 0.0466591i | ||||
\(233\) | −3.45041 | + | 0.686329i | −0.226044 | + | 0.0449629i | −0.306812 | − | 0.951770i | \(-0.599262\pi\) |
0.0807688 | + | 0.996733i | \(0.474262\pi\) | |||||||
\(234\) | −2.69886 | + | 2.69886i | −0.176430 | + | 0.176430i | ||||
\(235\) | −1.73490 | + | 2.59646i | −0.113172 | + | 0.169374i | ||||
\(236\) | −4.26011 | − | 1.76460i | −0.277310 | − | 0.114865i | ||||
\(237\) | 2.26337 | 0.147022 | ||||||||
\(238\) | −1.49211 | + | 9.30980i | −0.0967191 | + | 0.603465i | ||||
\(239\) | 5.40214i | 0.349436i | 0.984619 | + | 0.174718i | \(0.0559013\pi\) | ||||
−0.984619 | + | 0.174718i | \(0.944099\pi\) | |||||||
\(240\) | 2.12661 | − | 5.13410i | 0.137272 | − | 0.331404i | ||||
\(241\) | −7.94413 | + | 11.8892i | −0.511727 | + | 0.765853i | −0.993907 | − | 0.110219i | \(-0.964845\pi\) |
0.482181 | + | 0.876072i | \(0.339845\pi\) | |||||||
\(242\) | −15.0914 | − | 9.62108i | −0.970113 | − | 0.618466i | ||||
\(243\) | −13.4309 | + | 2.67158i | −0.861596 | + | 0.171382i | ||||
\(244\) | −2.52122 | − | 3.77328i | −0.161405 | − | 0.241559i | ||||
\(245\) | 4.56643 | + | 0.908319i | 0.291739 | + | 0.0580304i | ||||
\(246\) | 12.3257 | − | 5.10548i | 0.785859 | − | 0.325513i | ||||
\(247\) | −0.715740 | − | 1.72795i | −0.0455414 | − | 0.109947i | ||||
\(248\) | −12.0629 | − | 2.39946i | −0.765995 | − | 0.152366i | ||||
\(249\) | 6.15855 | − | 4.11501i | 0.390282 | − | 0.260778i | ||||
\(250\) | 13.5171 | − | 2.68872i | 0.854896 | − | 0.170049i | ||||
\(251\) | 6.65538 | − | 6.65538i | 0.420084 | − | 0.420084i | −0.465149 | − | 0.885233i | \(-0.653999\pi\) |
0.885233 | + | 0.465149i | \(0.153999\pi\) | |||||||
\(252\) | −1.12471 | − | 0.751510i | −0.0708503 | − | 0.0473407i | ||||
\(253\) | 20.1890 | − | 11.0719i | 1.26927 | − | 0.696082i | ||||
\(254\) | − | 0.731273i | − | 0.0458841i | ||||||
\(255\) | 4.69617 | − | 0.175851i | 0.294086 | − | 0.0110122i | ||||
\(256\) | −14.0824 | −0.880151 | ||||||||
\(257\) | −5.21273 | + | 12.5846i | −0.325161 | + | 0.785008i | 0.673777 | + | 0.738935i | \(0.264671\pi\) |
−0.998938 | + | 0.0460733i | \(0.985329\pi\) | |||||||
\(258\) | 17.6746 | + | 11.8098i | 1.10038 | + | 0.735247i | ||||
\(259\) | −0.464125 | + | 0.464125i | −0.0288394 | + | 0.0288394i | ||||
\(260\) | 0.184585 | + | 0.927973i | 0.0114475 | + | 0.0575504i | ||||
\(261\) | −0.320818 | − | 0.480138i | −0.0198581 | − | 0.0297198i | ||||
\(262\) | 31.1239 | + | 6.19093i | 1.92284 | + | 0.382477i | ||||
\(263\) | −11.4473 | − | 27.6362i | −0.705869 | − | 1.70412i | −0.710074 | − | 0.704127i | \(-0.751338\pi\) |
0.00420456 | − | 0.999991i | \(-0.498662\pi\) | |||||||
\(264\) | −2.51401 | + | 8.62006i | −0.154727 | + | 0.530528i | ||||
\(265\) | −2.22598 | + | 11.1907i | −0.136741 | + | 0.687442i | ||||
\(266\) | 2.25419 | − | 1.50620i | 0.138213 | − | 0.0923511i | ||||
\(267\) | 1.96823 | + | 9.89497i | 0.120454 | + | 0.605562i | ||||
\(268\) | 5.11624 | − | 5.11624i | 0.312524 | − | 0.312524i | ||||
\(269\) | −16.8403 | + | 25.2033i | −1.02677 | + | 1.53667i | −0.195576 | + | 0.980689i | \(0.562658\pi\) |
−0.831194 | + | 0.555982i | \(0.812342\pi\) | |||||||
\(270\) | −3.18430 | + | 7.68758i | −0.193790 | + | 0.467851i | ||||
\(271\) | −15.5977 | −0.947493 | −0.473746 | − | 0.880661i | \(-0.657099\pi\) | ||||
−0.473746 | + | 0.880661i | \(0.657099\pi\) | |||||||
\(272\) | −8.38245 | − | 18.2714i | −0.508261 | − | 1.10786i | ||||
\(273\) | 2.72737 | 0.165068 | ||||||||
\(274\) | 10.6231 | + | 4.40023i | 0.641764 | + | 0.265827i | ||||
\(275\) | −13.1003 | + | 4.12822i | −0.789981 | + | 0.248941i | ||||
\(276\) | 3.90832 | + | 3.90832i | 0.235253 | + | 0.235253i | ||||
\(277\) | 1.96603 | + | 9.88389i | 0.118127 | + | 0.593865i | 0.993821 | + | 0.110998i | \(0.0354047\pi\) |
−0.875694 | + | 0.482867i | \(0.839595\pi\) | |||||||
\(278\) | 14.9068 | − | 9.96042i | 0.894052 | − | 0.597386i | ||||
\(279\) | 8.14963 | + | 1.62106i | 0.487906 | + | 0.0970505i | ||||
\(280\) | 2.64826 | − | 1.09694i | 0.158264 | − | 0.0655549i | ||||
\(281\) | 13.0023 | − | 5.38574i | 0.775653 | − | 0.321286i | 0.0404934 | − | 0.999180i | \(-0.487107\pi\) |
0.735160 | + | 0.677894i | \(0.237107\pi\) | |||||||
\(282\) | 6.61498 | + | 1.31580i | 0.393917 | + | 0.0783549i | ||||
\(283\) | −18.4021 | + | 12.2959i | −1.09389 | + | 0.730916i | −0.965395 | − | 0.260793i | \(-0.916016\pi\) |
−0.128499 | + | 0.991710i | \(0.541016\pi\) | |||||||
\(284\) | 0.196424 | + | 0.987490i | 0.0116556 | + | 0.0585967i | ||||
\(285\) | −0.955498 | − | 0.955498i | −0.0565988 | − | 0.0565988i | ||||
\(286\) | −2.55864 | − | 8.11950i | −0.151296 | − | 0.480116i | ||||
\(287\) | 8.65603 | + | 3.58545i | 0.510949 | + | 0.211642i | ||||
\(288\) | 5.25011 | 0.309365 | ||||||||
\(289\) | 11.0882 | − | 12.8861i | 0.652245 | − | 0.758009i | ||||
\(290\) | −0.585483 | −0.0343807 | ||||||||
\(291\) | 0.00418066 | − | 0.0100930i | 0.000245075 | − | 0.000591662i | ||||
\(292\) | 2.58729 | − | 3.87215i | 0.151410 | − | 0.226601i | ||||
\(293\) | −16.9828 | + | 16.9828i | −0.992144 | + | 0.992144i | −0.999969 | − | 0.00782509i | \(-0.997509\pi\) |
0.00782509 | + | 0.999969i | \(0.497509\pi\) | |||||||
\(294\) | −1.96181 | − | 9.86271i | −0.114415 | − | 0.575205i | ||||
\(295\) | −5.48892 | + | 3.66758i | −0.319577 | + | 0.213535i | ||||
\(296\) | 0.200529 | − | 1.00813i | 0.0116555 | − | 0.0585962i | ||||
\(297\) | 5.12512 | − | 17.5730i | 0.297390 | − | 1.01969i | ||||
\(298\) | −12.1989 | − | 29.4507i | −0.706663 | − | 1.70603i | ||||
\(299\) | 10.7420 | + | 2.13671i | 0.621225 | + | 0.123569i | ||||
\(300\) | −1.83178 | − | 2.74145i | −0.105758 | − | 0.158278i | ||||
\(301\) | 2.91237 | + | 14.6415i | 0.167866 | + | 0.843921i | ||||
\(302\) | 6.75553 | − | 6.75553i | 0.388737 | − | 0.388737i | ||||
\(303\) | 1.68756 | + | 1.12759i | 0.0969475 | + | 0.0647783i | ||||
\(304\) | −2.21200 | + | 5.34024i | −0.126867 | + | 0.306284i | ||||
\(305\) | −6.49692 | −0.372012 | ||||||||
\(306\) | 4.15955 | + | 9.06664i | 0.237786 | + | 0.518305i | ||||
\(307\) | − | 24.5792i | − | 1.40281i | −0.712765 | − | 0.701403i | \(-0.752557\pi\) | ||
0.712765 | − | 0.701403i | \(-0.247443\pi\) | |||||||
\(308\) | 2.64540 | − | 1.45077i | 0.150736 | − | 0.0826650i | ||||
\(309\) | 3.06026 | + | 2.04480i | 0.174092 | + | 0.116325i | ||||
\(310\) | 5.95721 | − | 5.95721i | 0.338347 | − | 0.338347i | ||||
\(311\) | 12.3982 | − | 2.46615i | 0.703035 | − | 0.139842i | 0.169388 | − | 0.985549i | \(-0.445821\pi\) |
0.533647 | + | 0.845707i | \(0.320821\pi\) | |||||||
\(312\) | −3.55125 | + | 2.37287i | −0.201050 | + | 0.134337i | ||||
\(313\) | 12.2503 | + | 2.43674i | 0.692430 | + | 0.137733i | 0.528746 | − | 0.848780i | \(-0.322662\pi\) |
0.163684 | + | 0.986513i | \(0.447662\pi\) | |||||||
\(314\) | −0.883595 | − | 2.13319i | −0.0498641 | − | 0.120383i | ||||
\(315\) | −1.78915 | + | 0.741089i | −0.100807 | + | 0.0417556i | ||||
\(316\) | 1.16808 | + | 0.232345i | 0.0657095 | + | 0.0130704i | ||||
\(317\) | 3.15882 | + | 4.72750i | 0.177417 | + | 0.265523i | 0.909511 | − | 0.415681i | \(-0.136457\pi\) |
−0.732094 | + | 0.681204i | \(0.761457\pi\) | |||||||
\(318\) | 24.1701 | − | 4.80773i | 1.35539 | − | 0.269604i | ||||
\(319\) | 1.28036 | − | 0.140015i | 0.0716863 | − | 0.00783934i | ||||
\(320\) | −2.06255 | + | 3.08682i | −0.115300 | + | 0.172559i | ||||
\(321\) | 7.35871 | − | 17.7655i | 0.410723 | − | 0.991573i | ||||
\(322\) | 15.8759i | 0.884731i | ||||||||
\(323\) | −4.88473 | + | 0.182912i | −0.271794 | + | 0.0101775i | ||||
\(324\) | 1.50677 | 0.0837095 | ||||||||
\(325\) | −6.03608 | − | 2.50023i | −0.334822 | − | 0.138688i | ||||
\(326\) | −15.9199 | + | 23.8257i | −0.881719 | + | 1.31959i | ||||
\(327\) | −10.5648 | + | 10.5648i | −0.584237 | + | 0.584237i | ||||
\(328\) | −14.3902 | + | 2.86240i | −0.794568 | + | 0.158049i | ||||
\(329\) | 2.63148 | + | 3.93829i | 0.145078 | + | 0.217125i | ||||
\(330\) | −3.95277 | − | 4.71226i | −0.217593 | − | 0.259401i | ||||
\(331\) | 5.87600 | − | 2.43392i | 0.322974 | − | 0.133780i | −0.215305 | − | 0.976547i | \(-0.569075\pi\) |
0.538279 | + | 0.842767i | \(0.319075\pi\) | |||||||
\(332\) | 3.60072 | − | 1.49147i | 0.197615 | − | 0.0818550i | ||||
\(333\) | −0.135476 | + | 0.681084i | −0.00742404 | + | 0.0373232i | ||||
\(334\) | −14.6423 | − | 21.9137i | −0.801190 | − | 1.19907i | ||||
\(335\) | −2.02086 | − | 10.1596i | −0.110411 | − | 0.555076i | ||||
\(336\) | −5.96018 | − | 5.96018i | −0.325155 | − | 0.325155i | ||||
\(337\) | −22.1509 | − | 14.8007i | −1.20663 | − | 0.806247i | −0.221022 | − | 0.975269i | \(-0.570939\pi\) |
−0.985612 | + | 0.169022i | \(0.945939\pi\) | |||||||
\(338\) | −6.54469 | + | 15.8003i | −0.355984 | + | 0.859421i | ||||
\(339\) | 9.69906i | 0.526781i | ||||||||
\(340\) | 2.44165 | + | 0.391331i | 0.132417 | + | 0.0212229i | ||||
\(341\) | −11.6029 | + | 14.4521i | −0.628330 | + | 0.782626i | ||||
\(342\) | 1.09764 | − | 2.64994i | 0.0593536 | − | 0.143292i | ||||
\(343\) | 9.38937 | − | 14.0522i | 0.506978 | − | 0.758747i | ||||
\(344\) | −16.5305 | − | 16.5305i | −0.891266 | − | 0.891266i | ||||
\(345\) | 7.76093 | − | 1.54375i | 0.417834 | − | 0.0831124i | ||||
\(346\) | −15.8995 | + | 10.6237i | −0.854762 | + | 0.571134i | ||||
\(347\) | 1.06412 | − | 5.34970i | 0.0571251 | − | 0.287187i | −0.941654 | − | 0.336582i | \(-0.890729\pi\) |
0.998779 | + | 0.0493945i | \(0.0157292\pi\) | |||||||
\(348\) | 0.118317 | + | 0.285641i | 0.00634243 | + | 0.0153120i | ||||
\(349\) | 24.0650 | − | 9.96804i | 1.28817 | − | 0.533577i | 0.369729 | − | 0.929140i | \(-0.379450\pi\) |
0.918439 | + | 0.395563i | \(0.129450\pi\) | |||||||
\(350\) | 1.84758 | − | 9.28843i | 0.0987575 | − | 0.496487i | ||||
\(351\) | 7.23966 | − | 4.83738i | 0.386424 | − | 0.258200i | ||||
\(352\) | −5.40879 | + | 10.3861i | −0.288289 | + | 0.553583i | ||||
\(353\) | 17.7520 | − | 17.7520i | 0.944845 | − | 0.944845i | −0.0537113 | − | 0.998557i | \(-0.517105\pi\) |
0.998557 | + | 0.0537113i | \(0.0171051\pi\) | |||||||
\(354\) | 11.8551 | + | 7.92134i | 0.630093 | + | 0.421014i | ||||
\(355\) | 1.33171 | + | 0.551611i | 0.0706797 | + | 0.0292765i | ||||
\(356\) | 5.30864i | 0.281357i | ||||||||
\(357\) | 2.47947 | − | 6.68298i | 0.131228 | − | 0.353701i | ||||
\(358\) | 8.36089i | 0.441887i | ||||||||
\(359\) | 5.25699 | + | 2.17752i | 0.277454 | + | 0.114925i | 0.517071 | − | 0.855942i | \(-0.327022\pi\) |
−0.239618 | + | 0.970867i | \(0.577022\pi\) | |||||||
\(360\) | 1.68485 | − | 2.52155i | 0.0887991 | − | 0.132897i | ||||
\(361\) | −12.4412 | − | 12.4412i | −0.654798 | − | 0.654798i | ||||
\(362\) | 1.06314 | + | 5.34478i | 0.0558775 | + | 0.280915i | ||||
\(363\) | 9.77100 | + | 9.35969i | 0.512845 | + | 0.491256i | ||||
\(364\) | 1.40754 | + | 0.279977i | 0.0737752 | + | 0.0146748i | ||||
\(365\) | −2.55141 | − | 6.15966i | −0.133547 | − | 0.322411i | ||||
\(366\) | 5.36990 | + | 12.9641i | 0.280689 | + | 0.677644i | ||||
\(367\) | −4.79028 | + | 24.0824i | −0.250051 | + | 1.25709i | 0.627883 | + | 0.778308i | \(0.283922\pi\) |
−0.877934 | + | 0.478782i | \(0.841078\pi\) | |||||||
\(368\) | −18.8053 | − | 28.1441i | −0.980292 | − | 1.46711i | ||||
\(369\) | 9.72196 | − | 1.93382i | 0.506105 | − | 0.100671i | ||||
\(370\) | 0.497859 | + | 0.497859i | 0.0258824 | + | 0.0258824i | ||||
\(371\) | 14.3899 | + | 9.61501i | 0.747086 | + | 0.499187i | ||||
\(372\) | −4.11022 | − | 1.70251i | −0.213105 | − | 0.0882710i | ||||
\(373\) | 14.1476 | 0.732535 | 0.366268 | − | 0.930510i | \(-0.380635\pi\) | ||||
0.366268 | + | 0.930510i | \(0.380635\pi\) | |||||||
\(374\) | −22.2216 | − | 1.11196i | −1.14905 | − | 0.0574983i | ||||
\(375\) | −10.4192 | −0.538047 | ||||||||
\(376\) | −6.85279 | − | 2.83852i | −0.353406 | − | 0.146385i | ||||
\(377\) | 0.509399 | + | 0.340369i | 0.0262354 | + | 0.0175299i | ||||
\(378\) | 8.92453 | + | 8.92453i | 0.459028 | + | 0.459028i | ||||
\(379\) | 0.869700 | − | 0.172994i | 0.0446735 | − | 0.00888611i | −0.172703 | − | 0.984974i | \(-0.555250\pi\) |
0.217376 | + | 0.976088i | \(0.430250\pi\) | |||||||
\(380\) | −0.395026 | − | 0.591199i | −0.0202644 | − | 0.0303279i | ||||
\(381\) | −0.107855 | + | 0.542225i | −0.00552560 | + | 0.0277790i | ||||
\(382\) | 15.7034 | + | 37.9114i | 0.803456 | + | 1.93971i | ||||
\(383\) | 14.3320 | + | 34.6005i | 0.732330 | + | 1.76800i | 0.634673 | + | 0.772781i | \(0.281135\pi\) |
0.0976569 | + | 0.995220i | \(0.468865\pi\) | |||||||
\(384\) | 16.3833 | + | 3.25885i | 0.836059 | + | 0.166303i | ||||
\(385\) | 0.377148 | − | 4.30291i | 0.0192213 | − | 0.219296i | ||||
\(386\) | −2.71433 | − | 13.6459i | −0.138156 | − | 0.694557i | ||||
\(387\) | 11.1679 | + | 11.1679i | 0.567698 | + | 0.567698i | ||||
\(388\) | 0.00319364 | − | 0.00477963i | 0.000162133 | − | 0.000242649i | ||||
\(389\) | −28.8669 | − | 11.9571i | −1.46361 | − | 0.606247i | −0.498219 | − | 0.867051i | \(-0.666012\pi\) |
−0.965392 | + | 0.260804i | \(0.916012\pi\) | |||||||
\(390\) | − | 2.92560i | − | 0.148144i | ||||||
\(391\) | 15.0013 | − | 24.3789i | 0.758647 | − | 1.23290i | ||||
\(392\) | 11.0591i | 0.558568i | ||||||||
\(393\) | −22.1647 | − | 9.18093i | −1.11806 | − | 0.463117i | ||||
\(394\) | −31.5973 | − | 21.1126i | −1.59185 | − | 1.06364i | ||||
\(395\) | 1.20564 | − | 1.20564i | 0.0606623 | − | 0.0606623i | ||||
\(396\) | 1.47436 | − | 2.83112i | 0.0740895 | − | 0.142269i | ||||
\(397\) | −25.3176 | + | 16.9167i | −1.27065 | + | 0.849024i | −0.993723 | − | 0.111866i | \(-0.964317\pi\) |
−0.276931 | + | 0.960890i | \(0.589317\pi\) | |||||||
\(398\) | 3.28259 | − | 16.5027i | 0.164542 | − | 0.827207i | ||||
\(399\) | −1.89359 | + | 0.784351i | −0.0947981 | + | 0.0392667i | ||||
\(400\) | 7.72697 | + | 18.6546i | 0.386349 | + | 0.932728i | ||||
\(401\) | 2.28627 | − | 11.4939i | 0.114171 | − | 0.573977i | −0.880772 | − | 0.473540i | \(-0.842976\pi\) |
0.994943 | − | 0.100437i | \(-0.0320240\pi\) | |||||||
\(402\) | −18.6023 | + | 12.4297i | −0.927798 | + | 0.619935i | ||||
\(403\) | −8.64628 | + | 1.71985i | −0.430702 | + | 0.0856720i | ||||
\(404\) | 0.755160 | + | 0.755160i | 0.0375706 | + | 0.0375706i | ||||
\(405\) | 1.19845 | − | 1.79361i | 0.0595516 | − | 0.0891253i | ||||
\(406\) | −0.339844 | + | 0.820456i | −0.0168662 | + | 0.0407186i | ||||
\(407\) | −1.20780 | − | 0.969679i | −0.0598684 | − | 0.0480652i | ||||
\(408\) | 2.58586 | + | 10.8589i | 0.128019 | + | 0.537598i | ||||
\(409\) | − | 21.5002i | − | 1.06312i | −0.847021 | − | 0.531559i | \(-0.821606\pi\) | ||
0.847021 | − | 0.531559i | \(-0.178394\pi\) | |||||||
\(410\) | 3.84604 | − | 9.28516i | 0.189942 | − | 0.458561i | ||||
\(411\) | −7.22783 | − | 4.82948i | −0.356523 | − | 0.238221i | ||||
\(412\) | 1.36943 | + | 1.36943i | 0.0674669 | + | 0.0674669i | ||||
\(413\) | 1.95345 | + | 9.82065i | 0.0961229 | + | 0.483243i | ||||
\(414\) | 9.33157 | + | 13.9657i | 0.458622 | + | 0.686376i | ||||
\(415\) | 1.08854 | − | 5.47247i | 0.0534344 | − | 0.268633i | ||||
\(416\) | −5.14606 | + | 2.13157i | −0.252306 | + | 0.104509i | ||||
\(417\) | −12.5222 | + | 5.18686i | −0.613215 | + | 0.254002i | ||||
\(418\) | 4.11148 | + | 4.90147i | 0.201099 | + | 0.239739i | ||||
\(419\) | 8.10809 | + | 12.1346i | 0.396106 | + | 0.592815i | 0.974896 | − | 0.222662i | \(-0.0714747\pi\) |
−0.578789 | + | 0.815477i | \(0.696475\pi\) | |||||||
\(420\) | 1.01693 | − | 0.202280i | 0.0496210 | − | 0.00987024i | ||||
\(421\) | −18.7982 | + | 18.7982i | −0.916166 | + | 0.916166i | −0.996748 | − | 0.0805820i | \(-0.974322\pi\) |
0.0805820 | + | 0.996748i | \(0.474322\pi\) | |||||||
\(422\) | 1.10662 | − | 1.65617i | 0.0538693 | − | 0.0806210i | ||||
\(423\) | 4.62970 | + | 1.91769i | 0.225104 | + | 0.0932411i | ||||
\(424\) | −27.1020 | −1.31619 | ||||||||
\(425\) | −11.6138 | + | 12.5174i | −0.563354 | + | 0.607185i | ||||
\(426\) | − | 3.11324i | − | 0.150837i | ||||||
\(427\) | −3.77114 | + | 9.10435i | −0.182498 | + | 0.440590i | ||||
\(428\) | 5.62138 | − | 8.41300i | 0.271720 | − | 0.406657i | ||||
\(429\) | 0.699642 | + | 6.39783i | 0.0337790 | + | 0.308890i | ||||
\(430\) | 15.7056 | − | 3.12405i | 0.757393 | − | 0.150655i | ||||
\(431\) | 11.3760 | + | 17.0253i | 0.547960 | + | 0.820081i | 0.997312 | − | 0.0732743i | \(-0.0233449\pi\) |
−0.449351 | + | 0.893355i | \(0.648345\pi\) | |||||||
\(432\) | −26.3922 | − | 5.24973i | −1.26979 | − | 0.252578i | ||||
\(433\) | 26.2767 | − | 10.8842i | 1.26278 | − | 0.523060i | 0.352017 | − | 0.935994i | \(-0.385496\pi\) |
0.910761 | + | 0.412934i | \(0.135496\pi\) | |||||||
\(434\) | −4.89017 | − | 11.8059i | −0.234736 | − | 0.566702i | ||||
\(435\) | 0.434125 | + | 0.0863528i | 0.0208147 | + | 0.00414030i | ||||
\(436\) | −6.53683 | + | 4.36777i | −0.313057 | + | 0.209178i | ||||
\(437\) | −8.07255 | + | 1.60573i | −0.386162 | + | 0.0768125i | ||||
\(438\) | −10.1823 | + | 10.1823i | −0.486529 | + | 0.486529i | ||||
\(439\) | −1.41463 | − | 0.945224i | −0.0675165 | − | 0.0451131i | 0.521354 | − | 0.853341i | \(-0.325427\pi\) |
−0.588870 | + | 0.808227i | \(0.700427\pi\) | |||||||
\(440\) | 3.25254 | + | 5.93085i | 0.155059 | + | 0.282742i | ||||
\(441\) | − | 7.47146i | − | 0.355784i | ||||||
\(442\) | −7.75822 | − | 7.19817i | −0.369021 | − | 0.342382i | ||||
\(443\) | −7.85701 | −0.373298 | −0.186649 | − | 0.982427i | \(-0.559763\pi\) | ||||
−0.186649 | + | 0.982427i | \(0.559763\pi\) | |||||||
\(444\) | 0.142283 | − | 0.343501i | 0.00675245 | − | 0.0163018i | ||||
\(445\) | 6.31923 | + | 4.22238i | 0.299560 | + | 0.200160i | ||||
\(446\) | −17.4070 | + | 17.4070i | −0.824243 | + | 0.824243i | ||||
\(447\) | 4.70157 | + | 23.6364i | 0.222377 | + | 1.11796i | ||||
\(448\) | 3.12846 | + | 4.68207i | 0.147806 | + | 0.221207i | ||||
\(449\) | −4.26193 | − | 0.847750i | −0.201133 | − | 0.0400078i | 0.0934956 | − | 0.995620i | \(-0.470196\pi\) |
−0.294628 | + | 0.955612i | \(0.595196\pi\) | |||||||
\(450\) | −3.83429 | − | 9.25679i | −0.180750 | − | 0.436369i | ||||
\(451\) | −6.19019 | + | 21.2249i | −0.291485 | + | 0.999444i | ||||
\(452\) | −0.995653 | + | 5.00549i | −0.0468316 | + | 0.235438i | ||||
\(453\) | −6.00548 | + | 4.01273i | −0.282162 | + | 0.188535i | ||||
\(454\) | 1.58615 | + | 7.97412i | 0.0744417 | + | 0.374244i | ||||
\(455\) | 1.45280 | − | 1.45280i | 0.0681085 | − | 0.0681085i | ||||
\(456\) | 1.78320 | − | 2.66875i | 0.0835060 | − | 0.124976i | ||||
\(457\) | −6.77015 | + | 16.3446i | −0.316694 | + | 0.764567i | 0.682731 | + | 0.730670i | \(0.260792\pi\) |
−0.999425 | + | 0.0338976i | \(0.989208\pi\) | |||||||
\(458\) | 6.68426 | 0.312335 | ||||||||
\(459\) | −5.27158 | − | 22.1373i | −0.246056 | − | 1.03328i | ||||
\(460\) | 4.16373 | 0.194135 | ||||||||
\(461\) | 26.9313 | + | 11.1553i | 1.25432 | + | 0.519555i | 0.908161 | − | 0.418622i | \(-0.137487\pi\) |
0.346156 | + | 0.938177i | \(0.387487\pi\) | |||||||
\(462\) | −8.89784 | + | 2.80391i | −0.413965 | + | 0.130450i | ||||
\(463\) | −0.154241 | − | 0.154241i | −0.00716818 | − | 0.00716818i | 0.703514 | − | 0.710682i | \(-0.251613\pi\) |
−0.710682 | + | 0.703514i | \(0.751613\pi\) | |||||||
\(464\) | −0.369383 | − | 1.85701i | −0.0171482 | − | 0.0862097i | ||||
\(465\) | −5.29580 | + | 3.53854i | −0.245587 | + | 0.164096i | ||||
\(466\) | 5.61393 | + | 1.11668i | 0.260060 | + | 0.0517292i | ||||
\(467\) | 28.8732 | − | 11.9597i | 1.33609 | − | 0.553428i | 0.403706 | − | 0.914889i | \(-0.367722\pi\) |
0.932387 | + | 0.361461i | \(0.117722\pi\) | |||||||
\(468\) | 1.40275 | − | 0.581036i | 0.0648420 | − | 0.0268584i | ||||
\(469\) | −15.4099 | − | 3.06523i | −0.711565 | − | 0.141539i | ||||
\(470\) | 4.22453 | − | 2.82274i | 0.194863 | − | 0.130203i | ||||
\(471\) | 0.340546 | + | 1.71204i | 0.0156915 | + | 0.0788867i | ||||
\(472\) | −11.0877 | − | 11.0877i | −0.510353 | − | 0.510353i | ||||
\(473\) | −33.5987 | + | 10.5877i | −1.54487 | + | 0.486824i | ||||
\(474\) | −3.40226 | − | 1.40926i | −0.156271 | − | 0.0647295i | ||||
\(475\) | 4.90982 | 0.225278 | ||||||||
\(476\) | 1.96564 | − | 3.19442i | 0.0900951 | − | 0.146416i | ||||
\(477\) | 18.3100 | 0.838356 | ||||||||
\(478\) | 3.36358 | − | 8.12041i | 0.153847 | − | 0.371419i | ||||
\(479\) | 19.9164 | − | 29.8069i | 0.910002 | − | 1.36191i | −0.0221148 | − | 0.999755i | \(-0.507040\pi\) |
0.932117 | − | 0.362158i | \(-0.117960\pi\) | |||||||
\(480\) | −2.84560 | + | 2.84560i | −0.129883 | + | 0.129883i | ||||
\(481\) | −0.143732 | − | 0.722591i | −0.00655363 | − | 0.0329473i | ||||
\(482\) | 19.3442 | − | 12.9254i | 0.881104 | − | 0.588735i | ||||
\(483\) | 2.34154 | − | 11.7717i | 0.106544 | − | 0.535632i | ||||
\(484\) | 4.08180 | + | 5.83338i | 0.185536 | + | 0.265154i | ||||
\(485\) | −0.00314936 | − | 0.00760322i | −0.000143005 | − | 0.000345245i | ||||
\(486\) | 21.8526 | + | 4.34676i | 0.991255 | + | 0.197173i | ||||
\(487\) | 13.6704 | + | 20.4591i | 0.619463 | + | 0.927092i | 0.999997 | + | 0.00232543i | \(0.000740207\pi\) |
−0.380534 | + | 0.924767i | \(0.624260\pi\) | |||||||
\(488\) | −3.01065 | − | 15.1355i | −0.136286 | − | 0.685154i | ||||
\(489\) | 15.3183 | − | 15.3183i | 0.692719 | − | 0.692719i | ||||
\(490\) | −6.29863 | − | 4.20861i | −0.284543 | − | 0.190126i | ||||
\(491\) | 3.29598 | − | 7.95719i | 0.148745 | − | 0.359103i | −0.831891 | − | 0.554938i | \(-0.812742\pi\) |
0.980637 | + | 0.195835i | \(0.0627418\pi\) | |||||||
\(492\) | −5.30721 | −0.239267 | ||||||||
\(493\) | 1.29712 | − | 0.938765i | 0.0584192 | − | 0.0422798i | ||||
\(494\) | 3.04307i | 0.136914i | ||||||||
\(495\) | −2.19740 | − | 4.00684i | −0.0987657 | − | 0.180094i | ||||
\(496\) | 22.6533 | + | 15.1365i | 1.01716 | + | 0.679647i | ||||
\(497\) | 1.54598 | − | 1.54598i | 0.0693468 | − | 0.0693468i | ||||
\(498\) | −11.8196 | + | 2.35106i | −0.529649 | + | 0.105354i | ||||
\(499\) | 4.88674 | − | 3.26522i | 0.218761 | − | 0.146171i | −0.441362 | − | 0.897329i | \(-0.645504\pi\) |
0.660122 | + | 0.751158i | \(0.270504\pi\) | |||||||
\(500\) | −5.37715 | − | 1.06958i | −0.240473 | − | 0.0478331i | ||||
\(501\) | 7.62493 | + | 18.4082i | 0.340657 | + | 0.822418i | ||||
\(502\) | −14.1482 | + | 5.86036i | −0.631463 | + | 0.261561i | ||||
\(503\) | −33.2006 | − | 6.60402i | −1.48034 | − | 0.294459i | −0.612172 | − | 0.790724i | \(-0.709704\pi\) |
−0.868171 | + | 0.496266i | \(0.834704\pi\) | |||||||
\(504\) | −2.55556 | − | 3.82467i | −0.113834 | − | 0.170364i | ||||
\(505\) | 1.49956 | − | 0.298280i | 0.0667294 | − | 0.0132733i | ||||
\(506\) | −37.2415 | + | 4.07259i | −1.65559 | + | 0.181049i | ||||
\(507\) | 7.18315 | − | 10.7503i | 0.319015 | − | 0.477439i | ||||
\(508\) | −0.111324 | + | 0.268759i | −0.00493920 | + | 0.0119243i | ||||
\(509\) | − | 14.8460i | − | 0.658036i | −0.944324 | − | 0.329018i | \(-0.893282\pi\) | ||
0.944324 | − | 0.329018i | \(-0.106718\pi\) | |||||||
\(510\) | −7.16870 | − | 2.65969i | −0.317436 | − | 0.117773i | ||||
\(511\) | −10.1127 | −0.447359 | ||||||||
\(512\) | −3.92443 | − | 1.62555i | −0.173437 | − | 0.0718400i | ||||
\(513\) | −3.63527 | + | 5.44056i | −0.160501 | + | 0.240207i | ||||
\(514\) | 15.6714 | − | 15.6714i | 0.691235 | − | 0.691235i | ||||
\(515\) | 2.71934 | − | 0.540910i | 0.119828 | − | 0.0238354i | ||||
\(516\) | −4.69799 | − | 7.03105i | −0.206818 | − | 0.309525i | ||||
\(517\) | −8.56334 | + | 7.18317i | −0.376615 | + | 0.315915i | ||||
\(518\) | 0.986649 | − | 0.408683i | 0.0433508 | − | 0.0179565i | ||||
\(519\) | 13.3561 | − | 5.53227i | 0.586267 | − | 0.242840i | ||||
\(520\) | −0.627695 | + | 3.15563i | −0.0275262 | + | 0.138384i | ||||
\(521\) | −11.2701 | − | 16.8669i | −0.493753 | − | 0.738953i | 0.497992 | − | 0.867182i | \(-0.334071\pi\) |
−0.991745 | + | 0.128228i | \(0.959071\pi\) | |||||||
\(522\) | 0.183296 | + | 0.921490i | 0.00802264 | + | 0.0403325i | ||||
\(523\) | 18.1574 | + | 18.1574i | 0.793968 | + | 0.793968i | 0.982137 | − | 0.188168i | \(-0.0602551\pi\) |
−0.188168 | + | 0.982137i | \(0.560255\pi\) | |||||||
\(524\) | −10.4963 | − | 7.01340i | −0.458533 | − | 0.306382i | ||||
\(525\) | −2.73990 | + | 6.61470i | −0.119579 | + | 0.288689i | ||||
\(526\) | 48.6697i | 2.12210i | ||||||||
\(527\) | −3.64618 | + | 22.7498i | −0.158830 | + | 0.990997i | ||||
\(528\) | 12.4524 | − | 15.5103i | 0.541920 | − | 0.674997i | ||||
\(529\) | 9.64297 | − | 23.2802i | 0.419260 | − | 1.01218i | ||||
\(530\) | 10.3138 | − | 15.4358i | 0.448005 | − | 0.670487i | ||||
\(531\) | 7.49079 | + | 7.49079i | 0.325073 | + | 0.325073i | ||||
\(532\) | −1.05776 | + | 0.210402i | −0.0458597 | + | 0.00912206i | ||||
\(533\) | −8.74416 | + | 5.84266i | −0.378751 | + | 0.253074i | ||||
\(534\) | 3.20238 | − | 16.0995i | 0.138581 | − | 0.696692i | ||||
\(535\) | −5.54343 | − | 13.3830i | −0.239663 | − | 0.578599i | ||||
\(536\) | 22.7317 | − | 9.41580i | 0.981862 | − | 0.406701i | ||||
\(537\) | 1.23315 | − | 6.19945i | 0.0532142 | − | 0.267526i | ||||
\(538\) | 41.0066 | − | 27.3997i | 1.76792 | − | 1.18129i | ||||
\(539\) | 14.7806 | + | 7.69728i | 0.636644 | + | 0.331545i | ||||
\(540\) | 2.34061 | − | 2.34061i | 0.100724 | − | 0.100724i | ||||
\(541\) | −30.9664 | − | 20.6911i | −1.33135 | − | 0.889579i | −0.332778 | − | 0.943005i | \(-0.607986\pi\) |
−0.998572 | + | 0.0534258i | \(0.982986\pi\) | |||||||
\(542\) | 23.4462 | + | 9.71174i | 1.00710 | + | 0.417155i | ||||
\(543\) | − | 4.11986i | − | 0.176800i | ||||||
\(544\) | 0.544736 | + | 14.5474i | 0.0233553 | + | 0.623714i | ||||
\(545\) | 11.2553i | 0.482122i | ||||||||
\(546\) | −4.09974 | − | 1.69817i | −0.175453 | − | 0.0726749i | ||||
\(547\) | 22.9195 | − | 34.3015i | 0.979967 | − | 1.46662i | 0.0980713 | − | 0.995179i | \(-0.468733\pi\) |
0.881896 | − | 0.471445i | \(-0.156267\pi\) | |||||||
\(548\) | −3.23437 | − | 3.23437i | −0.138165 | − | 0.138165i | ||||
\(549\) | 2.03398 | + | 10.2255i | 0.0868079 | + | 0.436413i | ||||
\(550\) | 22.2626 | + | 1.95131i | 0.949281 | + | 0.0832042i | ||||
\(551\) | −0.451556 | − | 0.0898201i | −0.0192369 | − | 0.00382646i | ||||
\(552\) | 7.19277 | + | 17.3649i | 0.306145 | + | 0.739098i | ||||
\(553\) | −0.989688 | − | 2.38932i | −0.0420858 | − | 0.101604i | ||||
\(554\) | 3.19879 | − | 16.0814i | 0.135904 | − | 0.683234i | ||||
\(555\) | −0.295724 | − | 0.442582i | −0.0125528 | − | 0.0187866i | ||||
\(556\) | −6.99490 | + | 1.39137i | −0.296650 | + | 0.0590073i | ||||
\(557\) | −5.30410 | − | 5.30410i | −0.224742 | − | 0.224742i | 0.585750 | − | 0.810492i | \(-0.300800\pi\) |
−0.810492 | + | 0.585750i | \(0.800800\pi\) | |||||||
\(558\) | −11.2411 | − | 7.51103i | −0.475872 | − | 0.317967i | ||||
\(559\) | −15.4808 | − | 6.41237i | −0.654770 | − | 0.271214i | ||||
\(560\) | −6.34968 | −0.268323 | ||||||||
\(561\) | 16.3129 | + | 4.10196i | 0.688730 | + | 0.173185i | ||||
\(562\) | −22.8982 | −0.965904 | ||||||||
\(563\) | 24.6631 | + | 10.2158i | 1.03943 | + | 0.430545i | 0.836106 | − | 0.548567i | \(-0.184827\pi\) |
0.203321 | + | 0.979112i | \(0.434827\pi\) | |||||||
\(564\) | −2.23085 | − | 1.49061i | −0.0939357 | − | 0.0627658i | ||||
\(565\) | 5.16645 | + | 5.16645i | 0.217354 | + | 0.217354i | ||||
\(566\) | 35.3177 | − | 7.02513i | 1.48451 | − | 0.295288i | ||||
\(567\) | −1.81780 | − | 2.72053i | −0.0763406 | − | 0.114252i | ||||
\(568\) | −0.667953 | + | 3.35803i | −0.0280267 | + | 0.140900i | ||||
\(569\) | 5.39446 | + | 13.0234i | 0.226148 | + | 0.545969i | 0.995702 | − | 0.0926124i | \(-0.0295217\pi\) |
−0.769555 | + | 0.638581i | \(0.779522\pi\) | |||||||
\(570\) | 0.841359 | + | 2.03122i | 0.0352406 | + | 0.0850784i | ||||
\(571\) | 33.9340 | + | 6.74990i | 1.42009 | + | 0.282474i | 0.844629 | − | 0.535352i | \(-0.179821\pi\) |
0.575465 | + | 0.817826i | \(0.304821\pi\) | |||||||
\(572\) | −0.295696 | + | 3.37361i | −0.0123637 | + | 0.141058i | ||||
\(573\) | −6.05224 | − | 30.4267i | −0.252836 | − | 1.27109i | ||||
\(574\) | −10.7792 | − | 10.7792i | −0.449914 | − | 0.449914i | ||||
\(575\) | −15.9735 | + | 23.9060i | −0.666141 | + | 0.996950i | ||||
\(576\) | 5.50406 | + | 2.27986i | 0.229336 | + | 0.0949941i | ||||
\(577\) | − | 30.7896i | − | 1.28179i | −0.767629 | − | 0.640894i | \(-0.778564\pi\) | ||
0.767629 | − | 0.640894i | \(-0.221436\pi\) | |||||||
\(578\) | −24.6910 | + | 12.4663i | −1.02701 | + | 0.518531i | ||||
\(579\) | 10.5185i | 0.437134i | ||||||||
\(580\) | 0.215178 | + | 0.0891298i | 0.00893480 | + | 0.00370091i | ||||
\(581\) | −7.03691 | − | 4.70191i | −0.291940 | − | 0.195068i | ||||
\(582\) | −0.0125686 | + | 0.0125686i | −0.000520985 | + | 0.000520985i | ||||
\(583\) | −18.8634 | + | 36.2221i | −0.781241 | + | 1.50017i | ||||
\(584\) | 13.1675 | − | 8.79826i | 0.544876 | − | 0.364074i | ||||
\(585\) | 0.424067 | − | 2.13193i | 0.0175330 | − | 0.0881444i | ||||
\(586\) | 36.1024 | − | 14.9541i | 1.49138 | − | 0.617748i | ||||
\(587\) | 0.870360 | + | 2.10123i | 0.0359236 | + | 0.0867272i | 0.940823 | − | 0.338898i | \(-0.110054\pi\) |
−0.904900 | + | 0.425625i | \(0.860054\pi\) | |||||||
\(588\) | −0.780418 | + | 3.92342i | −0.0321839 | + | 0.161799i | ||||
\(589\) | 5.50843 | − | 3.68062i | 0.226971 | − | 0.151657i | ||||
\(590\) | 10.5344 | − | 2.09543i | 0.433695 | − | 0.0862674i | ||||
\(591\) | 20.3149 | + | 20.3149i | 0.835644 | + | 0.835644i | ||||
\(592\) | −1.26499 | + | 1.89319i | −0.0519908 | + | 0.0778097i | ||||
\(593\) | 14.9936 | − | 36.1977i | 0.615713 | − | 1.48646i | −0.240925 | − | 0.970544i | \(-0.577451\pi\) |
0.856638 | − | 0.515918i | \(-0.172549\pi\) | |||||||
\(594\) | −18.6457 | + | 23.2244i | −0.765040 | + | 0.952908i | ||||
\(595\) | −2.23910 | − | 4.88061i | −0.0917942 | − | 0.200085i | ||||
\(596\) | 12.6809i | 0.519429i | ||||||||
\(597\) | −4.86797 | + | 11.7523i | −0.199233 | + | 0.480990i | ||||
\(598\) | −14.8168 | − | 9.90025i | −0.605903 | − | 0.404851i | ||||
\(599\) | 22.4274 | + | 22.4274i | 0.916357 | + | 0.916357i | 0.996762 | − | 0.0804054i | \(-0.0256215\pi\) |
−0.0804054 | + | 0.996762i | \(0.525621\pi\) | |||||||
\(600\) | −2.18737 | − | 10.9966i | −0.0892988 | − | 0.448935i | ||||
\(601\) | −18.7660 | − | 28.0852i | −0.765479 | − | 1.14562i | −0.985425 | − | 0.170109i | \(-0.945588\pi\) |
0.219946 | − | 0.975512i | \(-0.429412\pi\) | |||||||
\(602\) | 4.73853 | − | 23.8222i | 0.193128 | − | 0.970920i | ||||
\(603\) | −15.3574 | + | 6.36126i | −0.625403 | + | 0.259050i | ||||
\(604\) | −3.51123 | + | 1.45440i | −0.142870 | + | 0.0591786i | ||||
\(605\) | 10.1904 | − | 0.219098i | 0.414300 | − | 0.00890761i | ||||
\(606\) | −1.83463 | − | 2.74571i | −0.0745265 | − | 0.111537i | ||||
\(607\) | −3.57984 | + | 0.712074i | −0.145301 | + | 0.0289022i | −0.267205 | − | 0.963640i | \(-0.586100\pi\) |
0.121904 | + | 0.992542i | \(0.461100\pi\) | |||||||
\(608\) | 2.95986 | − | 2.95986i | 0.120038 | − | 0.120038i | ||||
\(609\) | 0.372997 | − | 0.558230i | 0.0151146 | − | 0.0226206i | ||||
\(610\) | 9.76606 | + | 4.04524i | 0.395416 | + | 0.163787i | ||||
\(611\) | −5.31654 | −0.215084 | ||||||||
\(612\) | −0.148487 | − | 3.96542i | −0.00600225 | − | 0.160293i | ||||
\(613\) | − | 4.79070i | − | 0.193495i | −0.995309 | − | 0.0967474i | \(-0.969156\pi\) | ||
0.995309 | − | 0.0967474i | \(-0.0308439\pi\) | |||||||
\(614\) | −15.3039 | + | 36.9470i | −0.617617 | + | 1.49106i | ||||
\(615\) | −4.22124 | + | 6.31753i | −0.170217 | + | 0.254747i | ||||
\(616\) | 10.1990 | − | 1.11533i | 0.410931 | − | 0.0449378i | ||||
\(617\) | 41.7084 | − | 8.29631i | 1.67911 | − | 0.333997i | 0.738702 | − | 0.674032i | \(-0.235439\pi\) |
0.940413 | + | 0.340035i | \(0.110439\pi\) | |||||||
\(618\) | −3.32696 | − | 4.97915i | −0.133830 | − | 0.200291i | ||||
\(619\) | −32.1435 | − | 6.39374i | −1.29196 | − | 0.256986i | −0.499180 | − | 0.866499i | \(-0.666365\pi\) |
−0.792776 | + | 0.609513i | \(0.791365\pi\) | |||||||
\(620\) | −3.09630 | + | 1.28253i | −0.124350 | + | 0.0515076i | ||||
\(621\) | −14.6633 | − | 35.4004i | −0.588419 | − | 1.42057i | ||||
\(622\) | −20.1722 | − | 4.01251i | −0.808833 | − | 0.160887i | ||||
\(623\) | 9.58496 | − | 6.40447i | 0.384013 | − | 0.256590i | ||||
\(624\) | 9.27933 | − | 1.84577i | 0.371470 | − | 0.0738901i | ||||
\(625\) | 9.09192 | − | 9.09192i | 0.363677 | − | 0.363677i | ||||
\(626\) | −16.8973 | − | 11.2904i | −0.675351 | − | 0.451255i | ||||
\(627\) | −2.32567 | − | 4.24075i | −0.0928785 | − | 0.169359i | ||||
\(628\) | 0.918507i | 0.0366524i | ||||||||
\(629\) | −1.90126 | − | 0.304720i | −0.0758081 | − | 0.0121500i | ||||
\(630\) | 3.15085 | 0.125533 | ||||||||
\(631\) | 10.6990 | − | 25.8296i | 0.425919 | − | 1.02826i | −0.554650 | − | 0.832084i | \(-0.687148\pi\) |
0.980569 | − | 0.196175i | \(-0.0628521\pi\) | |||||||
\(632\) | 3.36741 | + | 2.25003i | 0.133948 | + | 0.0895013i | ||||
\(633\) | −1.06480 | + | 1.06480i | −0.0423222 | + | 0.0423222i | ||||
\(634\) | −1.80475 | − | 9.07311i | −0.0716759 | − | 0.360339i | ||||
\(635\) | 0.231378 | + | 0.346282i | 0.00918196 | + | 0.0137418i | ||||
\(636\) | −9.61496 | − | 1.91253i | −0.381258 | − | 0.0758369i | ||||
\(637\) | 3.03345 | + | 7.32339i | 0.120190 | + | 0.290163i | ||||
\(638\) | −2.01179 | − | 0.586733i | −0.0796477 | − | 0.0232290i | ||||
\(639\) | 0.451265 | − | 2.26866i | 0.0178518 | − | 0.0897469i | ||||
\(640\) | 10.4629 | − | 6.99109i | 0.413583 | − | 0.276347i | ||||
\(641\) | −4.18003 | − | 21.0144i | −0.165101 | − | 0.830020i | −0.971205 | − | 0.238246i | \(-0.923428\pi\) |
0.806104 | − | 0.591774i | \(-0.201572\pi\) | |||||||
\(642\) | −22.1230 | + | 22.1230i | −0.873124 | + | 0.873124i | ||||
\(643\) | −2.52490 | + | 3.77878i | −0.0995724 | + | 0.149021i | −0.877911 | − | 0.478825i | \(-0.841063\pi\) |
0.778338 | + | 0.627845i | \(0.216063\pi\) | |||||||
\(644\) | 2.41684 | − | 5.83477i | 0.0952369 | − | 0.229922i | ||||
\(645\) | −12.1062 | −0.476682 | ||||||||
\(646\) | 7.45654 | + | 2.76648i | 0.293374 | + | 0.108846i | ||||
\(647\) | 25.7983 | 1.01423 | 0.507117 | − | 0.861877i | \(-0.330711\pi\) | ||||
0.507117 | + | 0.861877i | \(0.330711\pi\) | |||||||
\(648\) | 4.73384 | + | 1.96082i | 0.185963 | + | 0.0770284i | ||||
\(649\) | −22.5360 | + | 7.10162i | −0.884616 | + | 0.278763i | ||||
\(650\) | 7.51660 | + | 7.51660i | 0.294825 | + | 0.294825i | ||||
\(651\) | 1.88472 | + | 9.47512i | 0.0738679 | + | 0.371359i | ||||
\(652\) | 9.47797 | − | 6.33298i | 0.371186 | − | 0.248019i | ||||
\(653\) | −19.9221 | − | 3.96276i | −0.779613 | − | 0.155075i | −0.210786 | − | 0.977532i | \(-0.567602\pi\) |
−0.568827 | + | 0.822457i | \(0.692602\pi\) | |||||||
\(654\) | 22.4590 | − | 9.30282i | 0.878216 | − | 0.363769i | ||||
\(655\) | −16.6970 | + | 6.91614i | −0.652408 | + | 0.270236i | ||||
\(656\) | 31.8768 | + | 6.34070i | 1.24458 | + | 0.247563i | ||||
\(657\) | −8.89590 | + | 5.94405i | −0.347062 | + | 0.231900i | ||||
\(658\) | −1.50347 | − | 7.55844i | −0.0586112 | − | 0.294659i | ||||
\(659\) | −31.3436 | − | 31.3436i | −1.22097 | − | 1.22097i | −0.967287 | − | 0.253685i | \(-0.918357\pi\) |
−0.253685 | − | 0.967287i | \(-0.581643\pi\) | |||||||
\(660\) | 0.735373 | + | 2.33361i | 0.0286244 | + | 0.0908355i | ||||
\(661\) | −16.4411 | − | 6.81012i | −0.639485 | − | 0.264883i | 0.0392923 | − | 0.999228i | \(-0.487490\pi\) |
−0.678777 | + | 0.734345i | \(0.737490\pi\) | |||||||
\(662\) | −10.3482 | −0.402192 | ||||||||
\(663\) | 4.69092 | + | 6.48157i | 0.182180 | + | 0.251723i | ||||
\(664\) | 13.2534 | 0.514330 | ||||||||
\(665\) | −0.590864 | + | 1.42647i | −0.0229127 | + | 0.0553162i | ||||
\(666\) | 0.627715 | − | 0.939442i | 0.0243235 | − | 0.0364026i | ||||
\(667\) | 1.90642 | − | 1.90642i | 0.0738167 | − | 0.0738167i | ||||
\(668\) | 2.04538 | + | 10.2828i | 0.0791382 | + | 0.397855i | ||||
\(669\) | 15.4743 | − | 10.3396i | 0.598271 | − | 0.399752i | ||||
\(670\) | −3.28801 | + | 16.5299i | −0.127027 | + | 0.638608i | ||||
\(671\) | −22.3242 | − | 6.51079i | −0.861818 | − | 0.251346i | ||||
\(672\) | 2.33590 | + | 5.63937i | 0.0901094 | + | 0.217543i | ||||
\(673\) | −40.1395 | − | 7.98425i | −1.54727 | − | 0.307770i | −0.653718 | − | 0.756739i | \(-0.726792\pi\) |
−0.893548 | + | 0.448968i | \(0.851792\pi\) | |||||||
\(674\) | 24.0813 | + | 36.0402i | 0.927577 | + | 1.38822i | ||||
\(675\) | 4.45921 | + | 22.4179i | 0.171635 | + | 0.862867i | ||||
\(676\) | 4.81064 | − | 4.81064i | 0.185025 | − | 0.185025i | ||||
\(677\) | 27.5531 | + | 18.4104i | 1.05895 | + | 0.707568i | 0.957838 | − | 0.287307i | \(-0.0927601\pi\) |
0.101112 | + | 0.994875i | \(0.467760\pi\) | |||||||
\(678\) | 6.03902 | − | 14.5795i | 0.231927 | − | 0.559921i | ||||
\(679\) | −0.0124827 | −0.000479042 | ||||||||
\(680\) | 7.16171 | + | 4.40687i | 0.274639 | + | 0.168996i | ||||
\(681\) | − | 6.14661i | − | 0.235538i | ||||||
\(682\) | 26.4397 | − | 14.4998i | 1.01243 | − | 0.555226i | ||||
\(683\) | 3.21892 | + | 2.15081i | 0.123168 | + | 0.0822985i | 0.615628 | − | 0.788037i | \(-0.288902\pi\) |
−0.492460 | + | 0.870335i | \(0.663902\pi\) | |||||||
\(684\) | −0.806816 | + | 0.806816i | −0.0308494 | + | 0.0308494i | ||||
\(685\) | −6.42263 | + | 1.27754i | −0.245396 | + | 0.0488123i | ||||
\(686\) | −22.8634 | + | 15.2768i | −0.872928 | + | 0.583272i | ||||
\(687\) | −4.95626 | − | 0.985860i | −0.189093 | − | 0.0376129i | ||||
\(688\) | 19.8175 | + | 47.8437i | 0.755535 | + | 1.82402i | ||||
\(689\) | −17.9471 | + | 7.43393i | −0.683730 | + | 0.283210i | ||||
\(690\) | −12.6273 | − | 2.51173i | −0.480713 | − | 0.0956198i | ||||
\(691\) | 3.43772 | + | 5.14491i | 0.130777 | + | 0.195722i | 0.891079 | − | 0.453848i | \(-0.149949\pi\) |
−0.760302 | + | 0.649570i | \(0.774949\pi\) | |||||||
\(692\) | 7.46071 | − | 1.48403i | 0.283613 | − | 0.0564142i | ||||
\(693\) | −6.89041 | + | 0.753508i | −0.261745 | + | 0.0286234i | ||||
\(694\) | −4.93051 | + | 7.37902i | −0.187159 | + | 0.280104i | ||||
\(695\) | −3.90735 | + | 9.43317i | −0.148214 | + | 0.357821i | ||||
\(696\) | 1.05137i | 0.0398522i | ||||||||
\(697\) | 6.36709 | + | 26.7377i | 0.241171 | + | 1.01276i | ||||
\(698\) | −42.3806 | −1.60413 | ||||||||
\(699\) | −3.99793 | − | 1.65600i | −0.151216 | − | 0.0626355i | ||||
\(700\) | −2.09303 | + | 3.13245i | −0.0791093 | + | 0.118395i | ||||
\(701\) | −30.9144 | + | 30.9144i | −1.16762 | + | 1.16762i | −0.184855 | + | 0.982766i | \(0.559181\pi\) |
−0.982766 | + | 0.184855i | \(0.940819\pi\) | |||||||
\(702\) | −13.8945 | + | 2.76378i | −0.524413 | + | 0.104312i | ||||
\(703\) | 0.307598 | + | 0.460353i | 0.0116013 | + | 0.0173625i | ||||
\(704\) | −10.1806 | + | 8.53977i | −0.383696 | + | 0.321855i | ||||
\(705\) | −3.54874 | + | 1.46994i | −0.133653 | + | 0.0553610i | ||||
\(706\) | −37.7377 | + | 15.6315i | −1.42028 | + | 0.588298i | ||||
\(707\) | 0.452429 | − | 2.27452i | 0.0170154 | − | 0.0855420i | ||||
\(708\) | −3.15114 | − | 4.71601i | −0.118427 | − | 0.177239i | ||||
\(709\) | 5.13785 | + | 25.8297i | 0.192956 | + | 0.970055i | 0.948938 | + | 0.315463i | \(0.102160\pi\) |
−0.755982 | + | 0.654593i | \(0.772840\pi\) | |||||||
\(710\) | −1.65835 | − | 1.65835i | −0.0622366 | − | 0.0622366i | ||||
\(711\) | −2.27500 | − | 1.52011i | −0.0853192 | − | 0.0570084i | ||||
\(712\) | −6.90835 | + | 16.6782i | −0.258901 | + | 0.625043i | ||||
\(713\) | 38.7951i | 1.45289i | ||||||||
\(714\) | −7.88819 | + | 8.50192i | −0.295208 | + | 0.318176i | ||||
\(715\) | 3.78065 | + | 3.03528i | 0.141388 | + | 0.113513i | ||||
\(716\) | 1.27280 | − | 3.07282i | 0.0475669 | − | 0.114837i | ||||
\(717\) | −3.69172 | + | 5.52504i | −0.137870 | + | 0.206337i | ||||
\(718\) | −6.54642 | − | 6.54642i | −0.244310 | − | 0.244310i | ||||
\(719\) | 33.6392 | − | 6.69126i | 1.25453 | − | 0.249542i | 0.477291 | − | 0.878745i | \(-0.341619\pi\) |
0.777241 | + | 0.629204i | \(0.216619\pi\) | |||||||
\(720\) | −5.58566 | + | 3.73222i | −0.208165 | + | 0.139092i | ||||
\(721\) | 0.820448 | − | 4.12467i | 0.0305551 | − | 0.153611i | ||||
\(722\) | 10.9550 | + | 26.4477i | 0.407703 | + | 0.984282i | ||||
\(723\) | −16.2497 | + | 6.73086i | −0.604334 | + | 0.250323i | ||||
\(724\) | 0.422922 | − | 2.12617i | 0.0157178 | − | 0.0790186i | ||||
\(725\) | −1.33724 | + | 0.893513i | −0.0496637 | + | 0.0331842i | ||||
\(726\) | −8.85991 | − | 20.1531i | −0.328822 | − | 0.747953i | ||||
\(727\) | −9.65034 | + | 9.65034i | −0.357911 | + | 0.357911i | −0.863043 | − | 0.505131i | \(-0.831444\pi\) |
0.505131 | + | 0.863043i | \(0.331444\pi\) | |||||||
\(728\) | 4.05775 | + | 2.71130i | 0.150390 | + | 0.100487i | ||||
\(729\) | −22.0146 | − | 9.11873i | −0.815354 | − | 0.337731i | ||||
\(730\) | 10.8477i | 0.401491i | ||||||||
\(731\) | −29.7862 | + | 32.1037i | −1.10168 | + | 1.18740i | ||||
\(732\) | − | 5.58208i | − | 0.206320i | ||||||
\(733\) | 41.9149 | + | 17.3617i | 1.54816 | + | 0.641270i | 0.982983 | − | 0.183696i | \(-0.0588064\pi\) |
0.565181 | + | 0.824967i | \(0.308806\pi\) | |||||||
\(734\) | 22.1953 | − | 33.2176i | 0.819244 | − | 1.22609i | ||||
\(735\) | 4.04959 | + | 4.04959i | 0.149371 | + | 0.149371i | ||||
\(736\) | 4.78208 | + | 24.0411i | 0.176270 | + | 0.886168i | ||||
\(737\) | 3.23732 | − | 36.9347i | 0.119248 | − | 1.36051i | ||||
\(738\) | −15.8180 | − | 3.14639i | −0.582267 | − | 0.115820i | ||||
\(739\) | 15.5783 | + | 37.6094i | 0.573057 | + | 1.38348i | 0.898940 | + | 0.438073i | \(0.144339\pi\) |
−0.325882 | + | 0.945410i | \(0.605661\pi\) | |||||||
\(740\) | −0.107184 | − | 0.258765i | −0.00394016 | − | 0.00951239i | ||||
\(741\) | 0.448822 | − | 2.25638i | 0.0164879 | − | 0.0828903i | ||||
\(742\) | −15.6440 | − | 23.4128i | −0.574308 | − | 0.859512i | ||||
\(743\) | −18.5722 | + | 3.69425i | −0.681350 | + | 0.135529i | −0.523618 | − | 0.851953i | \(-0.675418\pi\) |
−0.157732 | + | 0.987482i | \(0.550418\pi\) | |||||||
\(744\) | −10.6976 | − | 10.6976i | −0.392193 | − | 0.392193i | ||||
\(745\) | 15.0949 | + | 10.0861i | 0.553035 | + | 0.369526i | ||||
\(746\) | −21.2665 | − | 8.80885i | −0.778620 | − | 0.322515i | ||||
\(747\) | −8.95389 | −0.327606 | ||||||||
\(748\) | 7.99765 | + | 3.79153i | 0.292423 | + | 0.138632i | ||||
\(749\) | −21.9718 | −0.802831 | ||||||||
\(750\) | 15.6620 | + | 6.48742i | 0.571896 | + | 0.236887i | ||||
\(751\) | −30.8931 | − | 20.6421i | −1.12731 | − | 0.753242i | −0.155224 | − | 0.987879i | \(-0.549610\pi\) |
−0.972083 | + | 0.234637i | \(0.924610\pi\) | |||||||
\(752\) | 11.6183 | + | 11.6183i | 0.423678 | + | 0.423678i | ||||
\(753\) | 11.3549 | − | 2.25864i | 0.413797 | − | 0.0823094i | ||||
\(754\) | −0.553793 | − | 0.828809i | −0.0201679 | − | 0.0301835i | ||||
\(755\) | −1.06149 | + | 5.33645i | −0.0386314 | + | 0.194213i | ||||
\(756\) | −1.92136 | − | 4.63858i | −0.0698792 | − | 0.168703i | ||||
\(757\) | −4.67229 | − | 11.2799i | −0.169817 | − | 0.409975i | 0.815943 | − | 0.578133i | \(-0.196218\pi\) |
−0.985760 | + | 0.168157i | \(0.946218\pi\) | |||||||
\(758\) | −1.41503 | − | 0.281467i | −0.0513963 | − | 0.0102234i | ||||
\(759\) | 28.2146 | + | 2.47300i | 1.02412 | + | 0.0897642i | ||||
\(760\) | −0.471709 | − | 2.37144i | −0.0171107 | − | 0.0860213i | ||||
\(761\) | 17.6927 | + | 17.6927i | 0.641361 | + | 0.641361i | 0.950890 | − | 0.309529i | \(-0.100171\pi\) |
−0.309529 | + | 0.950890i | \(0.600171\pi\) | |||||||
\(762\) | 0.499737 | − | 0.747909i | 0.0181036 | − | 0.0270939i | ||||
\(763\) | 15.7724 | + | 6.53313i | 0.570998 | + | 0.236515i | ||||
\(764\) | − | 16.3239i | − | 0.590577i | ||||||
\(765\) | −4.83841 | − | 2.97725i | −0.174933 | − | 0.107643i | ||||
\(766\) | − | 60.9345i | − | 2.20165i | ||||||
\(767\) | −10.3836 | − | 4.30104i | −0.374932 | − | 0.155302i | ||||
\(768\) | −14.4028 | − | 9.62364i | −0.519716 | − | 0.347263i | ||||
\(769\) | 0.596474 | − | 0.596474i | 0.0215094 | − | 0.0215094i | −0.696270 | − | 0.717780i | \(-0.745158\pi\) |
0.717780 | + | 0.696270i | \(0.245158\pi\) | |||||||
\(770\) | −3.24608 | + | 6.23323i | −0.116981 | + | 0.224630i | ||||
\(771\) | −13.9314 | + | 9.30867i | −0.501727 | + | 0.335243i | ||||
\(772\) | −1.07977 | + | 5.42839i | −0.0388619 | + | 0.195372i | ||||
\(773\) | −24.2424 | + | 10.0415i | −0.871938 | + | 0.361168i | −0.773365 | − | 0.633961i | \(-0.781428\pi\) |
−0.0985730 | + | 0.995130i | \(0.531428\pi\) | |||||||
\(774\) | −9.83386 | − | 23.7410i | −0.353471 | − | 0.853354i | ||||
\(775\) | 4.51483 | − | 22.6976i | 0.162178 | − | 0.815322i | ||||
\(776\) | 0.0162534 | − | 0.0108602i | 0.000583465 | − | 0.000389859i | ||||
\(777\) | −0.791859 | + | 0.157510i | −0.0284078 | + | 0.00565066i | ||||
\(778\) | 35.9473 | + | 35.9473i | 1.28877 | + | 1.28877i | ||||
\(779\) | 4.39073 | − | 6.57119i | 0.157314 | − | 0.235437i | ||||
\(780\) | −0.445373 | + | 1.07523i | −0.0159469 | + | 0.0384993i | ||||
\(781\) | 4.02313 | + | 3.22996i | 0.143959 | + | 0.115577i | ||||
\(782\) | −37.7290 | + | 27.3057i | −1.34918 | + | 0.976448i | ||||
\(783\) | − | 2.14335i | − | 0.0765972i | ||||||
\(784\) | 9.37490 | − | 22.6330i | 0.334818 | − | 0.808321i | ||||
\(785\) | 1.09336 | + | 0.730561i | 0.0390237 | + | 0.0260748i | ||||
\(786\) | 27.6012 | + | 27.6012i | 0.984504 | + | 0.984504i | ||||
\(787\) | −2.28923 | − | 11.5088i | −0.0816024 | − | 0.410243i | −0.999897 | − | 0.0143453i | \(-0.995434\pi\) |
0.918295 | − | 0.395897i | \(-0.129566\pi\) | |||||||
\(788\) | 8.39869 | + | 12.5695i | 0.299191 | + | 0.447771i | ||||
\(789\) | 7.17830 | − | 36.0877i | 0.255554 | − | 1.28476i | ||||
\(790\) | −2.56298 | + | 1.06162i | −0.0911866 | + | 0.0377707i | ||||
\(791\) | 10.2388 | − | 4.24104i | 0.364049 | − | 0.150794i | ||||
\(792\) | 8.31628 | − | 6.97592i | 0.295506 | − | 0.247879i | ||||
\(793\) | −6.14526 | − | 9.19703i | −0.218225 | − | 0.326596i | ||||
\(794\) | 48.5900 | − | 9.66515i | 1.72439 | − | 0.343003i | ||||
\(795\) | −9.92415 | + | 9.92415i | −0.351973 | + | 0.351973i | ||||
\(796\) | −3.71869 | + | 5.56541i | −0.131805 | + | 0.197261i | ||||
\(797\) | −7.22258 | − | 2.99169i | −0.255837 | − | 0.105971i | 0.251079 | − | 0.967967i | \(-0.419215\pi\) |
−0.506916 | + | 0.861995i | \(0.669215\pi\) | |||||||
\(798\) | 3.33478 | 0.118050 | ||||||||
\(799\) | −4.83331 | + | 13.0273i | −0.170990 | + | 0.460873i | ||||
\(800\) | − | 14.6221i | − | 0.516970i | ||||||
\(801\) | 4.66724 | − | 11.2677i | 0.164909 | − | 0.398125i | ||||
\(802\) | −10.5932 | + | 15.8539i | −0.374060 | + | 0.559820i | ||||
\(803\) | −2.59417 | − | 23.7222i | −0.0915463 | − | 0.837139i | ||||
\(804\) | 8.72898 | − | 1.73630i | 0.307847 | − | 0.0612346i | ||||
\(805\) | −5.02322 | − | 7.51778i | −0.177045 | − | 0.264967i | ||||
\(806\) | 14.0678 | + | 2.79826i | 0.495517 | + | 0.0985645i | ||||
\(807\) | −34.4468 | + | 14.2683i | −1.21259 | + | 0.502269i | ||||
\(808\) | 1.38978 | + | 3.35522i | 0.0488922 | + | 0.118036i | ||||
\(809\) | −22.7149 | − | 4.51828i | −0.798614 | − | 0.158854i | −0.221117 | − | 0.975247i | \(-0.570970\pi\) |
−0.577497 | + | 0.816393i | \(0.695970\pi\) | |||||||
\(810\) | −2.91827 | + | 1.94992i | −0.102537 | + | 0.0685133i | ||||
\(811\) | −27.0526 | + | 5.38109i | −0.949945 | + | 0.188956i | −0.645660 | − | 0.763625i | \(-0.723418\pi\) |
−0.304285 | + | 0.952581i | \(0.598418\pi\) | |||||||
\(812\) | 0.249801 | − | 0.249801i | 0.00876630 | − | 0.00876630i | ||||
\(813\) | −15.9526 | − | 10.6592i | −0.559480 | − | 0.373833i | ||||
\(814\) | 1.21178 | + | 2.20963i | 0.0424730 | + | 0.0774474i | ||||
\(815\) | − | 16.3194i | − | 0.571643i | ||||||
\(816\) | 3.91314 | − | 24.4155i | 0.136987 | − | 0.854712i | ||||
\(817\) | 12.5923 | 0.440549 | ||||||||
\(818\) | −13.3869 | + | 32.3188i | −0.468061 | + | 1.13000i | ||||
\(819\) | −2.74139 | − | 1.83174i | −0.0957919 | − | 0.0640061i | ||||
\(820\) | −2.82702 | + | 2.82702i | −0.0987237 | + | 0.0987237i | ||||
\(821\) | −0.111922 | − | 0.562669i | −0.00390610 | − | 0.0196373i | 0.978783 | − | 0.204899i | \(-0.0656867\pi\) |
−0.982689 | + | 0.185262i | \(0.940687\pi\) | |||||||
\(822\) | 7.85774 | + | 11.7599i | 0.274070 | + | 0.410175i | ||||
\(823\) | 1.29460 | + | 0.257511i | 0.0451267 | + | 0.00897627i | 0.217602 | − | 0.976038i | \(-0.430177\pi\) |
−0.172475 | + | 0.985014i | \(0.555177\pi\) | |||||||
\(824\) | 2.52026 | + | 6.08445i | 0.0877975 | + | 0.211962i | ||||
\(825\) | −16.2195 | − | 4.73037i | −0.564691 | − | 0.164690i | ||||
\(826\) | 3.17833 | − | 15.9785i | 0.110588 | − | 0.555964i | ||||
\(827\) | −14.8605 | + | 9.92948i | −0.516751 | + | 0.345282i | −0.786441 | − | 0.617665i | \(-0.788079\pi\) |
0.269690 | + | 0.962947i | \(0.413079\pi\) | |||||||
\(828\) | −1.30353 | − | 6.55328i | −0.0453008 | − | 0.227742i | ||||
\(829\) | 29.6688 | − | 29.6688i | 1.03044 | − | 1.03044i | 0.0309195 | − | 0.999522i | \(-0.490156\pi\) |
0.999522 | − | 0.0309195i | \(-0.00984354\pi\) | |||||||
\(830\) | −5.04365 | + | 7.54836i | −0.175068 | + | 0.262007i | ||||
\(831\) | −4.74369 | + | 11.4523i | −0.164557 | + | 0.397276i | ||||
\(832\) | −6.32062 | −0.219128 | ||||||||
\(833\) | 20.7025 | − | 0.775217i | 0.717298 | − | 0.0268597i | ||||
\(834\) | 22.0527 | 0.763623 | ||||||||
\(835\) | 13.8672 | + | 5.74399i | 0.479895 | + | 0.198779i | ||||
\(836\) | −0.764900 | − | 2.42730i | −0.0264546 | − | 0.0839501i | ||||
\(837\) | 21.8083 | + | 21.8083i | 0.753806 | + | 0.753806i | ||||
\(838\) | −4.63247 | − | 23.2890i | −0.160026 | − | 0.804504i | ||||
\(839\) | 44.5552 | − | 29.7708i | 1.53822 | − | 1.02780i | 0.558007 | − | 0.829836i | \(-0.311566\pi\) |
0.980209 | − | 0.197967i | \(-0.0634340\pi\) | |||||||
\(840\) | 3.45813 | + | 0.687866i | 0.119317 | + | 0.0237336i | ||||
\(841\) | −26.6532 | + | 11.0401i | −0.919075 | + | 0.380693i | ||||
\(842\) | 39.9615 | − | 16.5526i | 1.37717 | − | 0.570441i | ||||
\(843\) | 16.9786 | + | 3.37726i | 0.584775 | + | 0.116319i | ||||
\(844\) | −0.658831 | + | 0.440217i | −0.0226779 | + | 0.0151529i | ||||
\(845\) | −1.90015 | − | 9.55272i | −0.0653673 | − | 0.328624i | ||||
\(846\) | −5.76527 | − | 5.76527i | −0.198214 | − | 0.198214i | ||||
\(847\) | 5.60802 | − | 14.4074i | 0.192694 | − | 0.495043i | ||||
\(848\) | 55.4657 | + | 22.9746i | 1.90470 | + | 0.788952i | ||||
\(849\) | −27.2236 | −0.934311 | ||||||||
\(850\) | 25.2516 | − | 11.5848i | 0.866122 | − | 0.397355i | ||||
\(851\) | −3.24220 | −0.111141 | ||||||||
\(852\) | −0.473938 | + | 1.14419i | −0.0162369 | + | 0.0391992i | ||||
\(853\) | 19.3007 | − | 28.8855i | 0.660843 | − | 0.989021i | −0.338011 | − | 0.941142i | \(-0.609754\pi\) |
0.998853 | − | 0.0478785i | \(-0.0152460\pi\) | |||||||
\(854\) | 11.3374 | − | 11.3374i | 0.387959 | − | 0.387959i | ||||
\(855\) | 0.318684 | + | 1.60213i | 0.0108988 | + | 0.0547918i | ||||
\(856\) | 28.6090 | − | 19.1159i | 0.977834 | − | 0.653368i | ||||
\(857\) | 1.59504 | − | 8.01881i | 0.0544855 | − | 0.273917i | −0.943933 | − | 0.330138i | \(-0.892905\pi\) |
0.998418 | + | 0.0562202i | \(0.0179049\pi\) | |||||||
\(858\) | 2.93185 | − | 10.0527i | 0.100092 | − | 0.343195i | ||||
\(859\) | −0.263470 | − | 0.636074i | −0.00898949 | − | 0.0217026i | 0.919321 | − | 0.393508i | \(-0.128739\pi\) |
−0.928311 | + | 0.371806i | \(0.878739\pi\) | |||||||
\(860\) | −6.24777 | − | 1.24276i | −0.213047 | − | 0.0423777i | ||||
\(861\) | 6.40274 | + | 9.58237i | 0.218205 | + | 0.326566i | ||||
\(862\) | −6.49952 | − | 32.6753i | −0.221375 | − | 1.11293i | ||||
\(863\) | −7.09170 | + | 7.09170i | −0.241404 | + | 0.241404i | −0.817431 | − | 0.576027i | \(-0.804602\pi\) |
0.576027 | + | 0.817431i | \(0.304602\pi\) | |||||||
\(864\) | 16.2027 | + | 10.8263i | 0.551228 | + | 0.368319i | ||||
\(865\) | 4.16755 | − | 10.0613i | 0.141701 | − | 0.342096i | ||||
\(866\) | −46.2756 | −1.57251 | ||||||||
\(867\) | 20.1466 | − | 5.60188i | 0.684213 | − | 0.190250i | ||||
\(868\) | 5.08339i | 0.172541i | ||||||||
\(869\) | 5.35095 | − | 2.93452i | 0.181518 | − | 0.0995467i | ||||
\(870\) | −0.598803 | − | 0.400107i | −0.0203013 | − | 0.0135649i | ||||
\(871\) | 12.4704 | − | 12.4704i | 0.422543 | − | 0.422543i | ||||
\(872\) | −26.2208 | + | 5.21564i | −0.887948 | + | 0.176624i | ||||
\(873\) | −0.0109807 | + | 0.00733709i | −0.000371641 | + | 0.000248323i | ||||
\(874\) | 13.1343 | + | 2.61258i | 0.444275 | + | 0.0883717i | ||||
\(875\) | 4.55595 | + | 10.9990i | 0.154019 | + | 0.371835i | ||||
\(876\) | 5.29230 | − | 2.19214i | 0.178810 | − | 0.0740657i | ||||
\(877\) | −32.5456 | − | 6.47372i | −1.09899 | − | 0.218602i | −0.387896 | − | 0.921703i | \(-0.626798\pi\) |
−0.711090 | + | 0.703101i | \(0.751798\pi\) | |||||||
\(878\) | 1.53791 | + | 2.30165i | 0.0519020 | + | 0.0776769i | ||||
\(879\) | −28.9748 | + | 5.76345i | −0.977297 | + | 0.194396i | ||||
\(880\) | −1.62886 | − | 14.8950i | −0.0549088 | − | 0.502110i | ||||
\(881\) | −19.6272 | + | 29.3742i | −0.661258 | + | 0.989643i | 0.337572 | + | 0.941300i | \(0.390394\pi\) |
−0.998831 | + | 0.0483436i | \(0.984606\pi\) | |||||||
\(882\) | −4.65202 | + | 11.2310i | −0.156642 | + | 0.378167i | ||||
\(883\) | 28.9876i | 0.975511i | 0.872980 | + | 0.487756i | \(0.162184\pi\) | ||||
−0.872980 | + | 0.487756i | \(0.837816\pi\) | |||||||
\(884\) | 1.75552 | + | 3.82655i | 0.0590447 | + | 0.128701i | ||||
\(885\) | −8.12014 | −0.272956 | ||||||||
\(886\) | 11.8105 | + | 4.89208i | 0.396782 | + | 0.164353i | ||||
\(887\) | 31.7624 | − | 47.5358i | 1.06648 | − | 1.59610i | 0.299868 | − | 0.953981i | \(-0.403057\pi\) |
0.766609 | − | 0.642115i | \(-0.221943\pi\) | |||||||
\(888\) | 0.894024 | − | 0.894024i | 0.0300015 | − | 0.0300015i | ||||
\(889\) | 0.619560 | − | 0.123238i | 0.0207794 | − | 0.00413327i | ||||
\(890\) | −6.86995 | − | 10.2816i | −0.230281 | − | 0.344640i | ||||
\(891\) | 5.91548 | − | 4.96206i | 0.198176 | − | 0.166235i | ||||
\(892\) | 9.04737 | − | 3.74754i | 0.302928 | − | 0.125477i | ||||
\(893\) | 3.69123 | − | 1.52896i | 0.123522 | − | 0.0511646i | ||||
\(894\) | 7.64962 | − | 38.4572i | 0.255841 | − | 1.28620i | ||||
\(895\) | −2.64542 | − | 3.95916i | −0.0884268 | − | 0.132340i | ||||
\(896\) | −3.72364 | − | 18.7200i | −0.124398 | − | 0.625391i | ||||
\(897\) | 9.52618 | + | 9.52618i | 0.318070 | + | 0.318070i | ||||
\(898\) | 5.87862 | + | 3.92797i | 0.196172 | + | 0.131078i | ||||
\(899\) | −0.830457 | + | 2.00490i | −0.0276973 | + | 0.0668672i | ||||
\(900\) | 3.98579i | 0.132860i | ||||||||
\(901\) | 1.89979 | + | 50.7346i | 0.0632911 | + | 1.69022i | ||||
\(902\) | 22.5205 | − | 28.0507i | 0.749850 | − | 0.933988i | ||||
\(903\) | −7.02707 | + | 16.9648i | −0.233846 | + | 0.564554i | ||||
\(904\) | −9.64190 | + | 14.4301i | −0.320685 | + | 0.479939i | ||||
\(905\) | −2.19455 | − | 2.19455i | −0.0729492 | − | 0.0729492i | ||||
\(906\) | 11.5258 | − | 2.29263i | 0.382920 | − | 0.0761675i | ||||
\(907\) | −24.6367 | + | 16.4617i | −0.818048 | + | 0.546603i | −0.892723 | − | 0.450605i | \(-0.851208\pi\) |
0.0746748 | + | 0.997208i | \(0.476208\pi\) | |||||||
\(908\) | 0.630977 | − | 3.17214i | 0.0209397 | − | 0.105271i | ||||
\(909\) | −0.938926 | − | 2.26677i | −0.0311422 | − | 0.0751839i | ||||
\(910\) | −3.08840 | + | 1.27926i | −0.102380 | + | 0.0424070i | ||||
\(911\) | 8.51004 | − | 42.7828i | 0.281950 | − | 1.41746i | −0.536994 | − | 0.843586i | \(-0.680440\pi\) |
0.818944 | − | 0.573873i | \(-0.194560\pi\) | |||||||
\(912\) | −5.91174 | + | 3.95010i | −0.195757 | + | 0.130801i | ||||
\(913\) | 9.22452 | − | 17.7132i | 0.305287 | − | 0.586222i | ||||
\(914\) | 20.3535 | − | 20.3535i | 0.673236 | − | 0.673236i | ||||
\(915\) | −6.64473 | − | 4.43986i | −0.219668 | − | 0.146777i | ||||
\(916\) | −2.45662 | − | 1.01756i | −0.0811689 | − | 0.0336213i | ||||
\(917\) | 27.4126i | 0.905244i | ||||||||
\(918\) | −5.85937 | + | 36.5587i | −0.193388 | + | 1.20662i | ||||
\(919\) | − | 46.3821i | − | 1.53001i | −0.644027 | − | 0.765003i | \(-0.722738\pi\) | ||
0.644027 | − | 0.765003i | \(-0.277262\pi\) | |||||||
\(920\) | 13.0812 | + | 5.41843i | 0.431276 | + | 0.178640i | ||||
\(921\) | 16.7969 | − | 25.1383i | 0.553477 | − | 0.828336i | ||||
\(922\) | −33.5370 | − | 33.5370i | −1.10448 | − | 1.10448i | ||||
\(923\) | 0.478766 | + | 2.40692i | 0.0157588 | + | 0.0792247i | ||||
\(924\) | 3.69701 | + | 0.324041i | 0.121623 | + | 0.0106602i | ||||
\(925\) | 1.89689 | + | 0.377315i | 0.0623694 | + | 0.0124061i | ||||
\(926\) | 0.135816 | + | 0.327889i | 0.00446319 | + | 0.0107751i | ||||
\(927\) | −1.70267 | − | 4.11062i | −0.0559232 | − | 0.135010i | ||||
\(928\) | −0.267496 | + | 1.34479i | −0.00878099 | + | 0.0441450i | ||||
\(929\) | 13.8601 | + | 20.7431i | 0.454736 | + | 0.680560i | 0.986019 | − | 0.166634i | \(-0.0532898\pi\) |
−0.531283 | + | 0.847195i | \(0.678290\pi\) | |||||||
\(930\) | 10.1638 | − | 2.02170i | 0.333284 | − | 0.0662942i | ||||
\(931\) | −4.21219 | − | 4.21219i | −0.138049 | − | 0.138049i | ||||
\(932\) | −1.89325 | − | 1.26503i | −0.0620156 | − | 0.0414375i | ||||
\(933\) | 14.3655 | + | 5.95040i | 0.470307 | + | 0.194807i | ||||
\(934\) | −50.8483 | −1.66381 | ||||||||
\(935\) | 10.8745 | − | 6.50445i | 0.355633 | − | 0.212718i | ||||
\(936\) | 5.16315 | 0.168763 | ||||||||
\(937\) | −45.3449 | − | 18.7825i | −1.48135 | − | 0.613597i | −0.511938 | − | 0.859022i | \(-0.671072\pi\) |
−0.969415 | + | 0.245425i | \(0.921072\pi\) | |||||||
\(938\) | 21.2554 | + | 14.2024i | 0.694014 | + | 0.463726i | ||||
\(939\) | 10.8638 | + | 10.8638i | 0.354527 | + | 0.354527i | ||||
\(940\) | −1.98233 | + | 0.394309i | −0.0646564 | + | 0.0128610i | ||||
\(941\) | 1.81558 | + | 2.71720i | 0.0591861 | + | 0.0885783i | 0.859882 | − | 0.510492i | \(-0.170537\pi\) |
−0.800696 | + | 0.599071i | \(0.795537\pi\) | |||||||
\(942\) | 0.554080 | − | 2.78555i | 0.0180529 | − | 0.0907581i | ||||
\(943\) | 17.7106 | + | 42.7571i | 0.576735 | + | 1.39236i | ||||
\(944\) | 13.2924 | + | 32.0907i | 0.432631 | + | 1.04446i | ||||
\(945\) | −7.04982 | − | 1.40230i | −0.229331 | − | 0.0456167i | ||||
\(946\) | 57.0973 | + | 5.00456i | 1.85639 | + | 0.162712i | ||||
\(947\) | 2.78920 | + | 14.0223i | 0.0906368 | + | 0.455662i | 0.999275 | + | 0.0380773i | \(0.0121233\pi\) |
−0.908638 | + | 0.417585i | \(0.862877\pi\) | |||||||
\(948\) | 1.03587 | + | 1.03587i | 0.0336435 | + | 0.0336435i | ||||
\(949\) | 6.30629 | − | 9.43803i | 0.204711 | − | 0.306372i | ||||
\(950\) | −7.38036 | − | 3.05705i | −0.239451 | − | 0.0991837i | ||||
\(951\) | 6.99373i | 0.226787i | ||||||||
\(952\) | 10.3325 | − | 7.47797i | 0.334879 | − | 0.242363i | ||||
\(953\) | 16.5619i | 0.536491i | 0.963351 | + | 0.268246i | \(0.0864438\pi\) | ||||
−0.963351 | + | 0.268246i | \(0.913556\pi\) | |||||||
\(954\) | −27.5232 | − | 11.4005i | −0.891098 | − | 0.369105i | ||||
\(955\) | −19.4314 | − | 12.9837i | −0.628786 | − | 0.420141i | ||||
\(956\) | −2.47239 | + | 2.47239i | −0.0799628 | + | 0.0799628i | ||||
\(957\) | 1.40517 | + | 0.731771i | 0.0454227 | + | 0.0236548i | ||||
\(958\) | −48.4969 | + | 32.4046i | −1.56686 | + | 1.04695i | ||||
\(959\) | −1.93776 | + | 9.74180i | −0.0625737 | + | 0.314579i | ||||
\(960\) | −4.21895 | + | 1.74755i | −0.136166 | + | 0.0564018i | ||||
\(961\) | −0.0866315 | − | 0.209147i | −0.00279456 | − | 0.00674667i | ||||
\(962\) | −0.233857 | + | 1.17568i | −0.00753986 | + | 0.0379054i | ||||
\(963\) | −19.3280 | + | 12.9146i | −0.622838 | + | 0.416167i | ||||
\(964\) | −9.07710 | + | 1.80555i | −0.292354 | + | 0.0581528i | ||||
\(965\) | 5.60295 | + | 5.60295i | 0.180365 | + | 0.180365i | ||||
\(966\) | −10.8493 | + | 16.2371i | −0.349070 | + | 0.522421i | ||||
\(967\) | 7.71989 | − | 18.6375i | 0.248255 | − | 0.599340i | −0.749801 | − | 0.661663i | \(-0.769851\pi\) |
0.998056 | + | 0.0623228i | \(0.0198508\pi\) | |||||||
\(968\) | 5.23263 | + | 23.6386i | 0.168183 | + | 0.759774i | ||||
\(969\) | −5.12086 | − | 3.15106i | −0.164506 | − | 0.101227i | ||||
\(970\) | 0.0133900i | 0.000429926i | ||||||||
\(971\) | 0.314447 | − | 0.759143i | 0.0100911 | − | 0.0243621i | −0.918754 | − | 0.394831i | \(-0.870803\pi\) |
0.928845 | + | 0.370469i | \(0.120803\pi\) | |||||||
\(972\) | −7.36962 | − | 4.92422i | −0.236381 | − | 0.157944i | ||||
\(973\) | 10.9510 | + | 10.9510i | 0.351073 | + | 0.351073i | ||||
\(974\) | −7.81040 | − | 39.2656i | −0.250262 | − | 1.25815i | ||||
\(975\) | −4.46480 | − | 6.68205i | −0.142988 | − | 0.213997i | ||||
\(976\) | −6.66910 | + | 33.5278i | −0.213473 | + | 1.07320i | ||||
\(977\) | 19.9576 | − | 8.26672i | 0.638501 | − | 0.264476i | −0.0398592 | − | 0.999205i | \(-0.512691\pi\) |
0.678360 | + | 0.734730i | \(0.262691\pi\) | |||||||
\(978\) | −32.5641 | + | 13.4885i | −1.04128 | + | 0.431314i | ||||
\(979\) | 17.4823 | + | 20.8414i | 0.558737 | + | 0.666093i | ||||
\(980\) | 1.67420 | + | 2.50562i | 0.0534804 | + | 0.0800391i | ||||
\(981\) | 17.7146 | − | 3.52366i | 0.565584 | − | 0.112502i | ||||
\(982\) | −9.90892 | + | 9.90892i | −0.316206 | + | 0.316206i | ||||
\(983\) | 17.4512 | − | 26.1176i | 0.556608 | − | 0.833022i | −0.441321 | − | 0.897349i | \(-0.645490\pi\) |
0.997929 | + | 0.0643271i | \(0.0204901\pi\) | |||||||
\(984\) | −16.6737 | − | 6.90648i | −0.531539 | − | 0.220171i | ||||
\(985\) | 21.6425 | 0.689588 | ||||||||
\(986\) | −2.53432 | + | 0.603501i | −0.0807091 | + | 0.0192194i | ||||
\(987\) | 5.82619i | 0.185450i | ||||||||
\(988\) | 0.463256 | − | 1.11840i | 0.0147381 | − | 0.0355810i | ||||
\(989\) | −40.9675 | + | 61.3122i | −1.30269 | + | 1.94961i | ||||
\(990\) | 0.808274 | + | 7.39121i | 0.0256886 | + | 0.234908i | ||||
\(991\) | 4.78391 | − | 0.951579i | 0.151966 | − | 0.0302279i | −0.118521 | − | 0.992952i | \(-0.537815\pi\) |
0.270487 | + | 0.962724i | \(0.412815\pi\) | |||||||
\(992\) | −10.9614 | − | 16.4048i | −0.348024 | − | 0.520854i | ||||
\(993\) | 7.67297 | + | 1.52625i | 0.243494 | + | 0.0484340i | ||||
\(994\) | −3.28648 | + | 1.36131i | −0.104241 | + | 0.0431780i | ||||
\(995\) | 3.66712 | + | 8.85321i | 0.116256 | + | 0.280666i | ||||
\(996\) | 4.70188 | + | 0.935263i | 0.148985 | + | 0.0296349i | ||||
\(997\) | 1.13690 | − | 0.759653i | 0.0360060 | − | 0.0240585i | −0.537437 | − | 0.843304i | \(-0.680607\pi\) |
0.573443 | + | 0.819245i | \(0.305607\pi\) | |||||||
\(998\) | −9.37872 | + | 1.86554i | −0.296878 | + | 0.0590528i | ||||
\(999\) | −1.82258 | + | 1.82258i | −0.0576637 | + | 0.0576637i |
(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 | 187.2.m.a.10.4 | ✓ | 128 | |
11.10 | odd | 2 | inner | 187.2.m.a.10.13 | yes | 128 | |
17.12 | odd | 16 | inner | 187.2.m.a.131.13 | yes | 128 | |
187.131 | even | 16 | inner | 187.2.m.a.131.4 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
187.2.m.a.10.4 | ✓ | 128 | 1.1 | even | 1 | trivial | |
187.2.m.a.10.13 | yes | 128 | 11.10 | odd | 2 | inner | |
187.2.m.a.131.4 | yes | 128 | 187.131 | even | 16 | inner | |
187.2.m.a.131.13 | yes | 128 | 17.12 | odd | 16 | inner |