Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [648,2,Mod(13,648)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(648, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([0, 27, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("648.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 648 = 2^{3} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 648.bd (of order \(54\), degree \(18\), 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: | \(5.17430605098\) |
Analytic rank: | \(0\) |
Dimension: | \(1908\) |
Relative dimension: | \(106\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 13.14 | ||
Character | \(\chi\) | \(=\) | 648.13 |
Dual form | 648.2.bd.a.349.14 |
$q$-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 \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(487\) | \(569\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{4}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.31801 | − | 0.512678i | −0.931977 | − | 0.362518i | ||||
\(3\) | −1.65507 | + | 0.510644i | −0.955553 | + | 0.294820i | ||||
\(4\) | 1.47432 | + | 1.35143i | 0.737162 | + | 0.675716i | ||||
\(5\) | −1.81662 | + | 0.543860i | −0.812416 | + | 0.243221i | −0.665952 | − | 0.745994i | \(-0.731975\pi\) |
−0.146464 | + | 0.989216i | \(0.546789\pi\) | |||||||
\(6\) | 2.44320 | + | 0.175479i | 0.997431 | + | 0.0716391i | ||||
\(7\) | −0.762450 | − | 1.76756i | −0.288179 | − | 0.668074i | 0.711212 | − | 0.702978i | \(-0.248147\pi\) |
−0.999391 | + | 0.0349039i | \(0.988888\pi\) | |||||||
\(8\) | −1.25033 | − | 2.53706i | −0.442058 | − | 0.896986i | ||||
\(9\) | 2.47849 | − | 1.69030i | 0.826162 | − | 0.563433i | ||||
\(10\) | 2.67315 | + | 0.214525i | 0.845325 | + | 0.0678386i | ||||
\(11\) | 1.00976 | + | 4.26053i | 0.304455 | + | 1.28460i | 0.883164 | + | 0.469063i | \(0.155408\pi\) |
−0.578709 | + | 0.815534i | \(0.696443\pi\) | |||||||
\(12\) | −3.13020 | − | 1.48386i | −0.903612 | − | 0.428352i | ||||
\(13\) | −0.952786 | + | 1.44864i | −0.264255 | + | 0.401781i | −0.943104 | − | 0.332497i | \(-0.892109\pi\) |
0.678849 | + | 0.734278i | \(0.262479\pi\) | |||||||
\(14\) | 0.0987326 | + | 2.72056i | 0.0263874 | + | 0.727100i | ||||
\(15\) | 2.72890 | − | 1.82777i | 0.704600 | − | 0.471928i | ||||
\(16\) | 0.347258 | + | 3.98490i | 0.0868145 | + | 0.996224i | ||||
\(17\) | −7.01411 | + | 2.55293i | −1.70117 | + | 0.619176i | −0.995958 | − | 0.0898180i | \(-0.971371\pi\) |
−0.705214 | + | 0.708994i | \(0.749149\pi\) | |||||||
\(18\) | −4.13326 | + | 0.957174i | −0.974218 | + | 0.225608i | ||||
\(19\) | 0.813793 | − | 2.23588i | 0.186697 | − | 0.512946i | −0.810667 | − | 0.585507i | \(-0.800895\pi\) |
0.997364 | + | 0.0725620i | \(0.0231175\pi\) | |||||||
\(20\) | −3.41327 | − | 1.65321i | −0.763231 | − | 0.369670i | ||||
\(21\) | 2.16450 | + | 2.53608i | 0.472332 | + | 0.553419i | ||||
\(22\) | 0.853394 | − | 6.13312i | 0.181944 | − | 1.30759i | ||||
\(23\) | 2.37547 | − | 5.50695i | 0.495319 | − | 1.14828i | −0.468919 | − | 0.883241i | \(-0.655356\pi\) |
0.964238 | − | 0.265037i | \(-0.0853843\pi\) | |||||||
\(24\) | 3.36491 | + | 3.56053i | 0.686860 | + | 0.726790i | ||||
\(25\) | −1.17312 | + | 0.771574i | −0.234624 | + | 0.154315i | ||||
\(26\) | 1.99847 | − | 1.42086i | 0.391933 | − | 0.278653i | ||||
\(27\) | −3.23892 | + | 4.06318i | −0.623330 | + | 0.781959i | ||||
\(28\) | 1.26464 | − | 3.63635i | 0.238994 | − | 0.687206i | ||||
\(29\) | −4.83721 | + | 0.281735i | −0.898247 | + | 0.0523169i | −0.501052 | − | 0.865417i | \(-0.667053\pi\) |
−0.397195 | + | 0.917734i | \(0.630016\pi\) | |||||||
\(30\) | −4.53379 | + | 1.00998i | −0.827753 | + | 0.184396i | ||||
\(31\) | 5.91909 | − | 0.691842i | 1.06310 | − | 0.124258i | 0.433481 | − | 0.901163i | \(-0.357285\pi\) |
0.629619 | + | 0.776904i | \(0.283211\pi\) | |||||||
\(32\) | 1.58528 | − | 5.43018i | 0.280240 | − | 0.959930i | ||||
\(33\) | −3.84684 | − | 6.53582i | −0.669648 | − | 1.13774i | ||||
\(34\) | 10.5535 | + | 0.231183i | 1.80992 | + | 0.0396475i | ||||
\(35\) | 2.34638 | + | 2.79631i | 0.396611 | + | 0.472663i | ||||
\(36\) | 5.93841 | + | 0.857460i | 0.989736 | + | 0.142910i | ||||
\(37\) | 6.87365 | − | 8.19170i | 1.13002 | − | 1.34671i | 0.199744 | − | 0.979848i | \(-0.435989\pi\) |
0.930277 | − | 0.366859i | \(-0.119567\pi\) | |||||||
\(38\) | −2.21888 | + | 2.52971i | −0.359949 | + | 0.410372i | ||||
\(39\) | 0.837184 | − | 2.88413i | 0.134057 | − | 0.461831i | ||||
\(40\) | 3.65118 | + | 3.92887i | 0.577302 | + | 0.621208i | ||||
\(41\) | 4.81533 | − | 2.41835i | 0.752028 | − | 0.377683i | −0.0311218 | − | 0.999516i | \(-0.509908\pi\) |
0.783150 | + | 0.621833i | \(0.213612\pi\) | |||||||
\(42\) | −1.55265 | − | 4.45228i | −0.239578 | − | 0.687002i | ||||
\(43\) | 6.75412 | − | 6.37219i | 1.02999 | − | 0.971749i | 0.0303802 | − | 0.999538i | \(-0.490328\pi\) |
0.999614 | + | 0.0277892i | \(0.00884672\pi\) | |||||||
\(44\) | −4.26910 | + | 7.64602i | −0.643591 | + | 1.15268i | ||||
\(45\) | −3.58318 | + | 4.41858i | −0.534148 | + | 0.658682i | ||||
\(46\) | −5.95419 | + | 6.04039i | −0.877897 | + | 0.890607i | ||||
\(47\) | 8.31823 | + | 0.972262i | 1.21334 | + | 0.141819i | 0.698590 | − | 0.715522i | \(-0.253811\pi\) |
0.514749 | + | 0.857341i | \(0.327885\pi\) | |||||||
\(48\) | −2.60960 | − | 6.41794i | −0.376663 | − | 0.926350i | ||||
\(49\) | 2.26076 | − | 2.39627i | 0.322966 | − | 0.342324i | ||||
\(50\) | 1.94176 | − | 0.415512i | 0.274606 | − | 0.0587623i | ||||
\(51\) | 10.3052 | − | 7.80698i | 1.44301 | − | 1.09320i | ||||
\(52\) | −3.36246 | + | 0.848139i | −0.466289 | + | 0.117616i | ||||
\(53\) | −5.02056 | − | 2.89862i | −0.689628 | − | 0.398157i | 0.113845 | − | 0.993499i | \(-0.463683\pi\) |
−0.803473 | + | 0.595342i | \(0.797017\pi\) | |||||||
\(54\) | 6.35204 | − | 3.69481i | 0.864403 | − | 0.502800i | ||||
\(55\) | −4.15148 | − | 7.19058i | −0.559786 | − | 0.969578i | ||||
\(56\) | −3.53109 | + | 4.14441i | −0.471861 | + | 0.553820i | ||||
\(57\) | −0.205143 | + | 4.11608i | −0.0271719 | + | 0.545189i | ||||
\(58\) | 6.51995 | + | 2.10860i | 0.856111 | + | 0.276872i | ||||
\(59\) | 1.01616 | − | 4.28750i | 0.132292 | − | 0.558185i | −0.866015 | − | 0.500019i | \(-0.833326\pi\) |
0.998307 | − | 0.0581665i | \(-0.0185254\pi\) | |||||||
\(60\) | 6.49339 | + | 0.993208i | 0.838293 | + | 0.128223i | ||||
\(61\) | 2.62267 | + | 1.95251i | 0.335799 | + | 0.249993i | 0.751829 | − | 0.659358i | \(-0.229172\pi\) |
−0.416031 | + | 0.909351i | \(0.636579\pi\) | |||||||
\(62\) | −8.15613 | − | 2.12273i | −1.03583 | − | 0.269586i | ||||
\(63\) | −4.87742 | − | 3.09210i | −0.614497 | − | 0.389568i | ||||
\(64\) | −4.87335 | + | 6.34432i | −0.609169 | + | 0.793040i | ||||
\(65\) | 0.942991 | − | 3.14981i | 0.116964 | − | 0.390686i | ||||
\(66\) | 1.71942 | + | 10.5865i | 0.211646 | + | 1.30311i | ||||
\(67\) | −11.7530 | − | 0.684536i | −1.43586 | − | 0.0836294i | −0.677528 | − | 0.735497i | \(-0.736949\pi\) |
−0.758333 | + | 0.651867i | \(0.773986\pi\) | |||||||
\(68\) | −13.7912 | − | 5.71526i | −1.67243 | − | 0.693077i | ||||
\(69\) | −1.11946 | + | 10.3274i | −0.134767 | + | 1.24327i | ||||
\(70\) | −1.65896 | − | 4.88852i | −0.198284 | − | 0.584290i | ||||
\(71\) | 1.63441 | − | 9.26920i | 0.193969 | − | 1.10005i | −0.719911 | − | 0.694066i | \(-0.755817\pi\) |
0.913880 | − | 0.405985i | \(-0.133071\pi\) | |||||||
\(72\) | −7.38731 | − | 4.17464i | −0.870603 | − | 0.491986i | ||||
\(73\) | −0.246651 | − | 1.39883i | −0.0288683 | − | 0.163720i | 0.966965 | − | 0.254907i | \(-0.0820450\pi\) |
−0.995834 | + | 0.0911871i | \(0.970934\pi\) | |||||||
\(74\) | −13.2593 | + | 7.27281i | −1.54136 | + | 0.845447i | ||||
\(75\) | 1.54759 | − | 1.87605i | 0.178701 | − | 0.216628i | ||||
\(76\) | 4.22143 | − | 2.19662i | 0.484232 | − | 0.251970i | ||||
\(77\) | 6.76083 | − | 5.03325i | 0.770469 | − | 0.573593i | ||||
\(78\) | −2.58205 | + | 3.37212i | −0.292360 | + | 0.381817i | ||||
\(79\) | −2.45486 | − | 1.23288i | −0.276194 | − | 0.138710i | 0.305311 | − | 0.952253i | \(-0.401240\pi\) |
−0.581505 | + | 0.813543i | \(0.697536\pi\) | |||||||
\(80\) | −2.79806 | − | 7.05018i | −0.312833 | − | 0.788234i | ||||
\(81\) | 3.28578 | − | 8.37876i | 0.365087 | − | 0.930974i | ||||
\(82\) | −7.58651 | + | 0.718707i | −0.837790 | + | 0.0793679i | ||||
\(83\) | 1.14595 | − | 2.28178i | 0.125785 | − | 0.250458i | −0.821922 | − | 0.569600i | \(-0.807098\pi\) |
0.947707 | + | 0.319142i | \(0.103395\pi\) | |||||||
\(84\) | −0.236178 | + | 6.66418i | −0.0257691 | + | 0.727122i | ||||
\(85\) | 11.3535 | − | 8.45239i | 1.23146 | − | 0.916791i | ||||
\(86\) | −12.1689 | + | 4.93594i | −1.31221 | + | 0.532257i | ||||
\(87\) | 7.86203 | − | 2.93638i | 0.842898 | − | 0.314813i | ||||
\(88\) | 9.54668 | − | 7.88889i | 1.01768 | − | 0.840959i | ||||
\(89\) | −1.05034 | − | 5.95679i | −0.111336 | − | 0.631419i | −0.988499 | − | 0.151226i | \(-0.951678\pi\) |
0.877163 | − | 0.480193i | \(-0.159433\pi\) | |||||||
\(90\) | 6.98798 | − | 3.98673i | 0.736598 | − | 0.420238i | ||||
\(91\) | 3.28701 | + | 0.579588i | 0.344572 | + | 0.0607574i | ||||
\(92\) | 10.9445 | − | 4.90874i | 1.14104 | − | 0.511772i | ||||
\(93\) | −9.44319 | + | 4.16759i | −0.979213 | + | 0.432159i | ||||
\(94\) | −10.4651 | − | 5.54602i | −1.07939 | − | 0.572029i | ||||
\(95\) | −0.262347 | + | 4.50433i | −0.0269162 | + | 0.462134i | ||||
\(96\) | 0.149153 | + | 9.79682i | 0.0152229 | + | 0.999884i | ||||
\(97\) | −4.79968 | + | 16.0321i | −0.487334 | + | 1.62781i | 0.261609 | + | 0.965174i | \(0.415747\pi\) |
−0.748943 | + | 0.662634i | \(0.769438\pi\) | |||||||
\(98\) | −4.20823 | + | 1.99927i | −0.425095 | + | 0.201957i | ||||
\(99\) | 9.70425 | + | 8.85285i | 0.975314 | + | 0.889745i | ||||
\(100\) | −2.77229 | − | 0.447845i | −0.277229 | − | 0.0447845i | ||||
\(101\) | 4.43173 | + | 3.29930i | 0.440973 | + | 0.328293i | 0.794642 | − | 0.607078i | \(-0.207659\pi\) |
−0.353669 | + | 0.935371i | \(0.615066\pi\) | |||||||
\(102\) | −17.5848 | + | 5.00647i | −1.74116 | + | 0.495715i | ||||
\(103\) | 5.86436 | + | 1.38988i | 0.577832 | + | 0.136949i | 0.509132 | − | 0.860689i | \(-0.329967\pi\) |
0.0687005 | + | 0.997637i | \(0.478115\pi\) | |||||||
\(104\) | 4.86659 | + | 0.605997i | 0.477208 | + | 0.0594229i | ||||
\(105\) | −5.31134 | − | 3.42991i | −0.518334 | − | 0.334725i | ||||
\(106\) | 5.13112 | + | 6.39436i | 0.498378 | + | 0.621075i | ||||
\(107\) | 10.8026 | − | 6.23691i | 1.04433 | − | 0.602945i | 0.123274 | − | 0.992373i | \(-0.460660\pi\) |
0.921057 | + | 0.389427i | \(0.127327\pi\) | |||||||
\(108\) | −10.2663 | + | 1.61326i | −0.987877 | + | 0.155236i | ||||
\(109\) | −13.3285 | − | 7.69522i | −1.27664 | − | 0.737068i | −0.300411 | − | 0.953810i | \(-0.597124\pi\) |
−0.976229 | + | 0.216742i | \(0.930457\pi\) | |||||||
\(110\) | 1.78526 | + | 11.6057i | 0.170218 | + | 1.10656i | ||||
\(111\) | −7.19330 | + | 17.0678i | −0.682758 | + | 1.62000i | ||||
\(112\) | 6.77877 | − | 3.65208i | 0.640534 | − | 0.345090i | ||||
\(113\) | −4.40733 | + | 4.67150i | −0.414607 | + | 0.439457i | −0.900695 | − | 0.434452i | \(-0.856942\pi\) |
0.486088 | + | 0.873910i | \(0.338423\pi\) | |||||||
\(114\) | 2.38061 | − | 5.31988i | 0.222964 | − | 0.498253i | ||||
\(115\) | −1.32031 | + | 11.2959i | −0.123119 | + | 1.05335i | ||||
\(116\) | −7.51235 | − | 6.12179i | −0.697504 | − | 0.568394i | ||||
\(117\) | 0.0871696 | + | 5.20093i | 0.00805883 | + | 0.480826i | ||||
\(118\) | −3.53742 | + | 5.13003i | −0.325645 | + | 0.472257i | ||||
\(119\) | 9.86036 | + | 10.4514i | 0.903898 | + | 0.958076i | ||||
\(120\) | −8.04919 | − | 4.63808i | −0.734787 | − | 0.423397i | ||||
\(121\) | −7.30251 | + | 3.66746i | −0.663865 | + | 0.333405i | ||||
\(122\) | −2.45571 | − | 3.91802i | −0.222330 | − | 0.354720i | ||||
\(123\) | −6.73477 | + | 6.46145i | −0.607254 | + | 0.582609i | ||||
\(124\) | 9.66162 | + | 6.97925i | 0.867639 | + | 0.626755i | ||||
\(125\) | 7.80602 | − | 9.30285i | 0.698191 | − | 0.832072i | ||||
\(126\) | 4.84326 | + | 6.57597i | 0.431472 | + | 0.585834i | ||||
\(127\) | 12.7748 | − | 10.7193i | 1.13358 | − | 0.951187i | 0.134371 | − | 0.990931i | \(-0.457099\pi\) |
0.999210 | + | 0.0397437i | \(0.0126541\pi\) | |||||||
\(128\) | 9.67574 | − | 5.86345i | 0.855223 | − | 0.518261i | ||||
\(129\) | −7.92460 | + | 13.9953i | −0.697722 | + | 1.23222i | ||||
\(130\) | −2.85771 | + | 3.66804i | −0.250638 | + | 0.321709i | ||||
\(131\) | 1.61024 | + | 13.7765i | 0.140687 | + | 1.20366i | 0.860486 | + | 0.509474i | \(0.170160\pi\) |
−0.719799 | + | 0.694183i | \(0.755766\pi\) | |||||||
\(132\) | 3.16124 | − | 14.8347i | 0.275151 | − | 1.29119i | ||||
\(133\) | −4.57252 | + | 0.266319i | −0.396488 | + | 0.0230928i | ||||
\(134\) | 15.1397 | + | 6.92774i | 1.30787 | + | 0.598466i | ||||
\(135\) | 3.67407 | − | 9.14276i | 0.316214 | − | 0.786884i | ||||
\(136\) | 15.2469 | + | 14.6032i | 1.30741 | + | 1.25222i | ||||
\(137\) | 2.08304 | − | 1.37004i | 0.177967 | − | 0.117050i | −0.457400 | − | 0.889261i | \(-0.651219\pi\) |
0.635367 | + | 0.772211i | \(0.280849\pi\) | |||||||
\(138\) | 6.77008 | − | 13.0377i | 0.576308 | − | 1.10984i | ||||
\(139\) | −13.5855 | − | 5.86023i | −1.15231 | − | 0.497058i | −0.267753 | − | 0.963488i | \(-0.586281\pi\) |
−0.884559 | + | 0.466429i | \(0.845540\pi\) | |||||||
\(140\) | −0.319699 | + | 7.29365i | −0.0270195 | + | 0.616426i | ||||
\(141\) | −14.2637 | + | 2.63850i | −1.20122 | + | 0.222202i | ||||
\(142\) | −6.90629 | + | 11.3790i | −0.579563 | + | 0.954905i | ||||
\(143\) | −7.13406 | − | 2.59659i | −0.596580 | − | 0.217137i | ||||
\(144\) | 7.59634 | + | 9.28954i | 0.633029 | + | 0.774128i | ||||
\(145\) | 8.63413 | − | 3.14257i | 0.717026 | − | 0.260976i | ||||
\(146\) | −0.392058 | + | 1.97012i | −0.0324469 | + | 0.163049i | ||||
\(147\) | −2.51807 | + | 5.12042i | −0.207687 | + | 0.422325i | ||||
\(148\) | 21.2045 | − | 2.78793i | 1.74300 | − | 0.229167i | ||||
\(149\) | 1.78873 | − | 2.71964i | 0.146539 | − | 0.222801i | −0.754758 | − | 0.656003i | \(-0.772246\pi\) |
0.901297 | + | 0.433202i | \(0.142616\pi\) | |||||||
\(150\) | −3.00156 | + | 1.67925i | −0.245076 | + | 0.137110i | ||||
\(151\) | 9.69777 | − | 2.29841i | 0.789193 | − | 0.187042i | 0.183795 | − | 0.982965i | \(-0.441162\pi\) |
0.605399 | + | 0.795922i | \(0.293014\pi\) | |||||||
\(152\) | −6.69007 | + | 0.730942i | −0.542636 | + | 0.0592873i | ||||
\(153\) | −13.0692 | + | 18.1833i | −1.05658 | + | 1.47004i | ||||
\(154\) | −11.4913 | + | 3.16777i | −0.925996 | + | 0.255266i | ||||
\(155\) | −10.3765 | + | 4.47596i | −0.833457 | + | 0.359518i | ||||
\(156\) | 5.13199 | − | 3.12074i | 0.410888 | − | 0.249859i | ||||
\(157\) | −1.76276 | + | 0.527737i | −0.140684 | + | 0.0421180i | −0.356371 | − | 0.934345i | \(-0.615986\pi\) |
0.215687 | + | 0.976463i | \(0.430801\pi\) | |||||||
\(158\) | 2.60347 | + | 2.88350i | 0.207121 | + | 0.229399i | ||||
\(159\) | 9.78953 | + | 2.23369i | 0.776360 | + | 0.177143i | ||||
\(160\) | 0.0734159 | + | 10.7267i | 0.00580403 | + | 0.848023i | ||||
\(161\) | −11.5450 | −0.909876 | ||||||||
\(162\) | −8.62631 | + | 9.35878i | −0.677747 | + | 0.735295i | ||||
\(163\) | 2.34686i | 0.183820i | 0.995767 | + | 0.0919100i | \(0.0292972\pi\) | ||||
−0.995767 | + | 0.0919100i | \(0.970703\pi\) | |||||||
\(164\) | 10.3676 | + | 2.94217i | 0.809573 | + | 0.229745i | ||||
\(165\) | 10.5428 | + | 9.78095i | 0.820756 | + | 0.761446i | ||||
\(166\) | −2.68020 | + | 2.41992i | −0.208024 | + | 0.187822i | ||||
\(167\) | 5.25312 | + | 17.5466i | 0.406498 | + | 1.35780i | 0.879148 | + | 0.476549i | \(0.158112\pi\) |
−0.472650 | + | 0.881250i | \(0.656702\pi\) | |||||||
\(168\) | 3.72786 | − | 8.66240i | 0.287611 | − | 0.668319i | ||||
\(169\) | 3.95828 | + | 9.17632i | 0.304483 | + | 0.705871i | ||||
\(170\) | −19.2975 | + | 5.31967i | −1.48005 | + | 0.408000i | ||||
\(171\) | −1.76233 | − | 6.91714i | −0.134769 | − | 0.528967i | ||||
\(172\) | 18.5693 | − | 0.266919i | 1.41590 | − | 0.0203523i | ||||
\(173\) | −4.50995 | − | 19.0290i | −0.342885 | − | 1.44675i | −0.822248 | − | 0.569130i | \(-0.807280\pi\) |
0.479363 | − | 0.877617i | \(-0.340868\pi\) | |||||||
\(174\) | −11.8677 | − | 0.160494i | −0.899687 | − | 0.0121671i | ||||
\(175\) | 2.25825 | + | 1.48527i | 0.170707 | + | 0.112276i | ||||
\(176\) | −16.6271 | + | 5.50331i | −1.25332 | + | 0.414827i | ||||
\(177\) | 0.507581 | + | 7.61499i | 0.0381521 | + | 0.572378i | ||||
\(178\) | −1.66955 | + | 8.38963i | −0.125138 | + | 0.628829i | ||||
\(179\) | −4.33649 | − | 11.9144i | −0.324125 | − | 0.890525i | −0.989567 | − | 0.144075i | \(-0.953979\pi\) |
0.665442 | − | 0.746449i | \(-0.268243\pi\) | |||||||
\(180\) | −11.2542 | + | 1.67199i | −0.838836 | + | 0.124623i | ||||
\(181\) | −2.19832 | + | 6.03984i | −0.163400 | + | 0.448938i | −0.994189 | − | 0.107650i | \(-0.965667\pi\) |
0.830789 | + | 0.556588i | \(0.187890\pi\) | |||||||
\(182\) | −4.03518 | − | 2.44908i | −0.299108 | − | 0.181538i | ||||
\(183\) | −5.33773 | − | 1.89227i | −0.394576 | − | 0.139881i | ||||
\(184\) | −16.9416 | + | 0.858801i | −1.24895 | + | 0.0633117i | ||||
\(185\) | −8.03166 | + | 18.6195i | −0.590500 | + | 1.36893i | ||||
\(186\) | 14.5829 | − | 0.651629i | 1.06927 | − | 0.0477798i | ||||
\(187\) | −17.9594 | − | 27.3060i | −1.31332 | − | 1.99681i | ||||
\(188\) | 10.9498 | + | 12.6750i | 0.798597 | + | 0.924416i | ||||
\(189\) | 9.65142 | + | 2.62700i | 0.702037 | + | 0.191086i | ||||
\(190\) | 2.65504 | − | 5.80227i | 0.192617 | − | 0.420941i | ||||
\(191\) | −1.10338 | − | 18.9443i | −0.0798379 | − | 1.37076i | −0.765778 | − | 0.643105i | \(-0.777646\pi\) |
0.685940 | − | 0.727658i | \(-0.259391\pi\) | |||||||
\(192\) | 4.82603 | − | 12.9888i | 0.348288 | − | 0.937387i | ||||
\(193\) | −18.0790 | + | 2.11313i | −1.30135 | + | 0.152106i | −0.738389 | − | 0.674375i | \(-0.764413\pi\) |
−0.562965 | + | 0.826481i | \(0.690339\pi\) | |||||||
\(194\) | 14.5453 | − | 18.6698i | 1.04429 | − | 1.34041i | ||||
\(195\) | 0.0477191 | + | 5.69468i | 0.00341724 | + | 0.407804i | ||||
\(196\) | 6.57148 | − | 0.477605i | 0.469392 | − | 0.0341146i | ||||
\(197\) | −6.24404 | − | 7.44136i | −0.444869 | − | 0.530175i | 0.496281 | − | 0.868162i | \(-0.334698\pi\) |
−0.941151 | + | 0.337987i | \(0.890254\pi\) | |||||||
\(198\) | −8.25168 | − | 16.6433i | −0.586421 | − | 1.18279i | ||||
\(199\) | 3.17379 | + | 2.66313i | 0.224984 | + | 0.188784i | 0.748311 | − | 0.663348i | \(-0.230865\pi\) |
−0.523327 | + | 0.852132i | \(0.675309\pi\) | |||||||
\(200\) | 3.42432 | + | 2.01156i | 0.242136 | + | 0.142239i | ||||
\(201\) | 19.8016 | − | 4.86866i | 1.39670 | − | 0.343409i | ||||
\(202\) | −4.14960 | − | 6.62057i | −0.291965 | − | 0.465822i | ||||
\(203\) | 4.18611 | + | 8.33523i | 0.293807 | + | 0.585019i | ||||
\(204\) | 25.7438 | + | 2.41675i | 1.80243 | + | 0.169206i | ||||
\(205\) | −7.43237 | + | 7.01208i | −0.519099 | + | 0.489745i | ||||
\(206\) | −7.01675 | − | 4.83841i | −0.488880 | − | 0.337108i | ||||
\(207\) | −3.42083 | − | 17.6641i | −0.237764 | − | 1.22774i | ||||
\(208\) | −6.10355 | − | 3.29370i | −0.423205 | − | 0.228377i | ||||
\(209\) | 10.3478 | + | 1.20948i | 0.715769 | + | 0.0836614i | ||||
\(210\) | 5.24198 | + | 7.24368i | 0.361731 | + | 0.499861i | ||||
\(211\) | −4.29011 | − | 4.04751i | −0.295343 | − | 0.278642i | 0.524279 | − | 0.851547i | \(-0.324335\pi\) |
−0.819622 | + | 0.572905i | \(0.805817\pi\) | |||||||
\(212\) | −3.48464 | − | 11.0585i | −0.239326 | − | 0.759499i | ||||
\(213\) | 2.02820 | + | 16.1757i | 0.138970 | + | 1.10834i | ||||
\(214\) | −17.4356 | + | 2.68206i | −1.19187 | + | 0.183342i | ||||
\(215\) | −8.80409 | + | 15.2491i | −0.600434 | + | 1.03998i | ||||
\(216\) | 14.3582 | + | 3.13701i | 0.976955 | + | 0.213447i | ||||
\(217\) | −5.73588 | − | 9.93483i | −0.389377 | − | 0.674420i | ||||
\(218\) | 13.6220 | + | 16.9756i | 0.922598 | + | 1.14974i | ||||
\(219\) | 1.12253 | + | 2.18920i | 0.0758532 | + | 0.147932i | ||||
\(220\) | 3.59696 | − | 16.2117i | 0.242507 | − | 1.09299i | ||||
\(221\) | 2.98467 | − | 12.5933i | 0.200771 | − | 0.847119i | ||||
\(222\) | 18.2311 | − | 18.8077i | 1.22359 | − | 1.26229i | ||||
\(223\) | −4.41298 | + | 5.92766i | −0.295515 | + | 0.396945i | −0.924938 | − | 0.380117i | \(-0.875884\pi\) |
0.629424 | + | 0.777062i | \(0.283291\pi\) | |||||||
\(224\) | −10.8069 | + | 1.33818i | −0.722064 | + | 0.0894106i | ||||
\(225\) | −1.60337 | + | 3.89526i | −0.106892 | + | 0.259684i | ||||
\(226\) | 8.20389 | − | 3.89756i | 0.545715 | − | 0.259262i | ||||
\(227\) | 27.0812 | + | 8.10757i | 1.79744 | + | 0.538119i | 0.998034 | − | 0.0626713i | \(-0.0199620\pi\) |
0.799407 | + | 0.600790i | \(0.205147\pi\) | |||||||
\(228\) | −5.86506 | + | 5.79120i | −0.388423 | + | 0.383532i | ||||
\(229\) | 21.2743 | + | 1.23909i | 1.40585 | + | 0.0818813i | 0.744212 | − | 0.667944i | \(-0.232825\pi\) |
0.661636 | + | 0.749825i | \(0.269862\pi\) | |||||||
\(230\) | 7.53136 | − | 14.2113i | 0.496603 | − | 0.937067i | ||||
\(231\) | −8.61942 | + | 11.7827i | −0.567116 | + | 0.775248i | ||||
\(232\) | 6.76288 | + | 11.9200i | 0.444005 | + | 0.782588i | ||||
\(233\) | 1.94459 | − | 11.0283i | 0.127394 | − | 0.722488i | −0.852463 | − | 0.522788i | \(-0.824892\pi\) |
0.979857 | − | 0.199700i | \(-0.0639969\pi\) | |||||||
\(234\) | 2.55151 | − | 6.89959i | 0.166797 | − | 0.451040i | ||||
\(235\) | −15.6398 | + | 2.75772i | −1.02023 | + | 0.179894i | ||||
\(236\) | 7.29242 | − | 4.94790i | 0.474696 | − | 0.322081i | ||||
\(237\) | 4.69252 | + | 0.786934i | 0.304812 | + | 0.0511168i | ||||
\(238\) | −7.63791 | − | 18.8302i | −0.495092 | − | 1.22058i | ||||
\(239\) | −11.9023 | − | 15.9876i | −0.769896 | − | 1.03415i | −0.998165 | − | 0.0605512i | \(-0.980714\pi\) |
0.228270 | − | 0.973598i | \(-0.426693\pi\) | |||||||
\(240\) | 8.23111 | + | 10.2397i | 0.531316 | + | 0.660969i | ||||
\(241\) | −3.23317 | − | 1.62376i | −0.208267 | − | 0.104596i | 0.341608 | − | 0.939842i | \(-0.389028\pi\) |
−0.549875 | + | 0.835247i | \(0.685325\pi\) | |||||||
\(242\) | 11.5050 | − | 1.08993i | 0.739572 | − | 0.0700633i | ||||
\(243\) | −1.15962 | + | 15.5453i | −0.0743894 | + | 0.997229i | ||||
\(244\) | 1.22798 | + | 6.42299i | 0.0786136 | + | 0.411190i | ||||
\(245\) | −2.80371 | + | 5.58264i | −0.179122 | + | 0.356662i | ||||
\(246\) | 12.1892 | − | 5.06351i | 0.777153 | − | 0.322838i | ||||
\(247\) | 2.46361 | + | 3.30921i | 0.156756 | + | 0.210560i | ||||
\(248\) | −9.15605 | − | 14.1520i | −0.581410 | − | 0.898656i | ||||
\(249\) | −0.731451 | + | 4.36168i | −0.0463538 | + | 0.276410i | ||||
\(250\) | −15.0578 | + | 8.25932i | −0.952339 | + | 0.522365i | ||||
\(251\) | −14.3218 | + | 2.52531i | −0.903981 | + | 0.159396i | −0.606269 | − | 0.795259i | \(-0.707335\pi\) |
−0.297712 | + | 0.954656i | \(0.596224\pi\) | |||||||
\(252\) | −3.01213 | − | 11.1503i | −0.189747 | − | 0.702400i | ||||
\(253\) | 25.8612 | + | 4.56002i | 1.62588 | + | 0.286686i | ||||
\(254\) | −22.3329 | + | 7.57888i | −1.40129 | + | 0.475541i | ||||
\(255\) | −14.4747 | + | 19.7869i | −0.906440 | + | 1.23910i | ||||
\(256\) | −15.7588 | + | 2.76758i | −0.984926 | + | 0.172974i | ||||
\(257\) | −0.188850 | + | 3.24243i | −0.0117801 | + | 0.202257i | 0.987283 | + | 0.158974i | \(0.0508187\pi\) |
−0.999063 | + | 0.0432829i | \(0.986218\pi\) | |||||||
\(258\) | 17.6198 | − | 14.3833i | 1.09696 | − | 0.895465i | ||||
\(259\) | −19.7201 | − | 5.90381i | −1.22535 | − | 0.366845i | ||||
\(260\) | 5.64703 | − | 3.36945i | 0.350214 | − | 0.208964i | ||||
\(261\) | −11.5127 | + | 8.87460i | −0.712620 | + | 0.549324i | ||||
\(262\) | 4.94057 | − | 18.9831i | 0.305230 | − | 1.17278i | ||||
\(263\) | −0.478901 | + | 0.643276i | −0.0295303 | + | 0.0396661i | −0.816643 | − | 0.577143i | \(-0.804168\pi\) |
0.787113 | + | 0.616809i | \(0.211575\pi\) | |||||||
\(264\) | −11.7720 | + | 17.9316i | −0.724514 | + | 1.10361i | ||||
\(265\) | 10.6969 | + | 2.53521i | 0.657105 | + | 0.155737i | ||||
\(266\) | 6.16318 | + | 1.99322i | 0.377889 | + | 0.122212i | ||||
\(267\) | 4.78019 | + | 9.32253i | 0.292543 | + | 0.570530i | ||||
\(268\) | −16.4027 | − | 16.8927i | −1.00195 | − | 1.03188i | ||||
\(269\) | 26.4229 | − | 15.2553i | 1.61103 | − | 0.930129i | 0.621899 | − | 0.783098i | \(-0.286361\pi\) |
0.989132 | − | 0.147032i | \(-0.0469719\pi\) | |||||||
\(270\) | −9.52977 | + | 10.1667i | −0.579963 | + | 0.618724i | ||||
\(271\) | −7.15310 | + | 12.3895i | −0.434520 | + | 0.752611i | −0.997256 | − | 0.0740256i | \(-0.976415\pi\) |
0.562736 | + | 0.826637i | \(0.309749\pi\) | |||||||
\(272\) | −12.6089 | − | 27.0640i | −0.764525 | − | 1.64100i | ||||
\(273\) | −5.73618 | + | 0.719235i | −0.347169 | + | 0.0435301i | ||||
\(274\) | −3.44787 | + | 0.737802i | −0.208294 | + | 0.0445722i | ||||
\(275\) | −4.47189 | − | 4.21901i | −0.269665 | − | 0.254416i | ||||
\(276\) | −15.6072 | + | 13.7130i | −0.939444 | + | 0.825427i | ||||
\(277\) | −0.385820 | + | 3.30090i | −0.0231817 | + | 0.198332i | −0.999866 | − | 0.0163469i | \(-0.994796\pi\) |
0.976685 | + | 0.214679i | \(0.0688705\pi\) | |||||||
\(278\) | 14.9015 | + | 14.6889i | 0.893735 | + | 0.880980i | ||||
\(279\) | 13.5009 | − | 11.7197i | 0.808281 | − | 0.701643i | ||||
\(280\) | 4.16066 | − | 9.44923i | 0.248647 | − | 0.564700i | ||||
\(281\) | 20.0615 | + | 21.2640i | 1.19677 | + | 1.26850i | 0.954472 | + | 0.298299i | \(0.0964194\pi\) |
0.242297 | + | 0.970202i | \(0.422099\pi\) | |||||||
\(282\) | 20.1525 | + | 3.83510i | 1.20006 | + | 0.228377i | ||||
\(283\) | −0.0271094 | − | 0.0539792i | −0.00161148 | − | 0.00320873i | 0.892825 | − | 0.450403i | \(-0.148720\pi\) |
−0.894437 | + | 0.447194i | \(0.852423\pi\) | |||||||
\(284\) | 14.9363 | − | 11.4570i | 0.886309 | − | 0.679848i | ||||
\(285\) | −1.86591 | − | 7.58892i | −0.110527 | − | 0.449529i | ||||
\(286\) | 8.07159 | + | 7.07981i | 0.477283 | + | 0.418638i | ||||
\(287\) | −7.94602 | − | 6.66750i | −0.469039 | − | 0.393570i | ||||
\(288\) | −5.24955 | − | 16.1382i | −0.309333 | − | 0.950954i | ||||
\(289\) | 29.6576 | − | 24.8857i | 1.74456 | − | 1.46386i | ||||
\(290\) | −12.9910 | − | 0.284578i | −0.762860 | − | 0.0167110i | ||||
\(291\) | −0.242883 | − | 28.9850i | −0.0142381 | − | 1.69913i | ||||
\(292\) | 1.52678 | − | 2.39565i | 0.0893478 | − | 0.140195i | ||||
\(293\) | −0.521803 | − | 4.46431i | −0.0304841 | − | 0.260808i | −0.999883 | − | 0.0153160i | \(-0.995125\pi\) |
0.969399 | − | 0.245492i | \(-0.0789495\pi\) | |||||||
\(294\) | 5.94398 | − | 5.45783i | 0.346660 | − | 0.318307i | ||||
\(295\) | 0.485831 | + | 8.34140i | 0.0282862 | + | 0.485655i | ||||
\(296\) | −29.3772 | − | 7.19654i | −1.70751 | − | 0.418291i | ||||
\(297\) | −20.5818 | − | 9.69664i | −1.19428 | − | 0.562656i | ||||
\(298\) | −3.75187 | + | 2.66748i | −0.217340 | + | 0.154523i | ||||
\(299\) | 5.71428 | + | 8.68814i | 0.330465 | + | 0.502448i | ||||
\(300\) | 4.81701 | − | 0.674440i | 0.278110 | − | 0.0389388i | ||||
\(301\) | −16.4129 | − | 7.07983i | −0.946023 | − | 0.408075i | ||||
\(302\) | −13.9601 | − | 1.94249i | −0.803316 | − | 0.111778i | ||||
\(303\) | −9.01957 | − | 3.19752i | −0.518161 | − | 0.183693i | ||||
\(304\) | 9.19234 | + | 2.46645i | 0.527217 | + | 0.141461i | ||||
\(305\) | −5.82628 | − | 2.12059i | −0.333612 | − | 0.121425i | ||||
\(306\) | 26.5475 | − | 17.2656i | 1.51762 | − | 0.987011i | ||||
\(307\) | −4.73178 | − | 13.0005i | −0.270057 | − | 0.741975i | −0.998388 | − | 0.0567504i | \(-0.981926\pi\) |
0.728331 | − | 0.685225i | \(-0.240296\pi\) | |||||||
\(308\) | 16.7698 | + | 1.71617i | 0.955546 | + | 0.0977878i | ||||
\(309\) | −10.4156 | + | 0.694259i | −0.592525 | + | 0.0394950i | ||||
\(310\) | 15.9710 | − | 0.579610i | 0.907094 | − | 0.0329196i | ||||
\(311\) | −3.96898 | − | 2.61044i | −0.225060 | − | 0.148024i | 0.431972 | − | 0.901887i | \(-0.357818\pi\) |
−0.657032 | + | 0.753863i | \(0.728188\pi\) | |||||||
\(312\) | −8.36397 | + | 1.48213i | −0.473517 | + | 0.0839090i | ||||
\(313\) | −15.5484 | + | 3.68505i | −0.878850 | + | 0.208291i | −0.645185 | − | 0.764026i | \(-0.723220\pi\) |
−0.233664 | + | 0.972317i | \(0.575072\pi\) | |||||||
\(314\) | 2.59391 | + | 0.208165i | 0.146383 | + | 0.0117474i | ||||
\(315\) | 10.5421 | + | 2.96453i | 0.593979 | + | 0.167032i | ||||
\(316\) | −1.95311 | − | 5.13524i | −0.109871 | − | 0.288880i | ||||
\(317\) | −12.7729 | + | 5.50969i | −0.717398 | + | 0.309455i | −0.723306 | − | 0.690527i | \(-0.757379\pi\) |
0.00590843 | + | 0.999983i | \(0.498119\pi\) | |||||||
\(318\) | −11.7576 | − | 7.96291i | −0.659332 | − | 0.446538i | ||||
\(319\) | −6.08478 | − | 20.3246i | −0.340682 | − | 1.13796i | ||||
\(320\) | 5.40260 | − | 14.1756i | 0.302014 | − | 0.792442i | ||||
\(321\) | −14.6943 | + | 15.8388i | −0.820153 | + | 0.884036i | ||||
\(322\) | 15.2165 | + | 5.91888i | 0.847983 | + | 0.329846i | ||||
\(323\) | 17.7603i | 0.988207i | ||||||||
\(324\) | 16.1676 | − | 7.91249i | 0.898202 | − | 0.439583i | ||||
\(325\) | − | 2.43458i | − | 0.135046i | ||||||
\(326\) | 1.20318 | − | 3.09319i | 0.0666380 | − | 0.171316i | ||||
\(327\) | 25.9891 | + | 5.92997i | 1.43720 | + | 0.327928i | ||||
\(328\) | −12.1562 | − | 9.19305i | −0.671217 | − | 0.507601i | ||||
\(329\) | −4.62371 | − | 15.4443i | −0.254913 | − | 0.851469i | ||||
\(330\) | −8.88109 | − | 18.2965i | −0.488888 | − | 1.00719i | ||||
\(331\) | −1.41997 | + | 0.612516i | −0.0780487 | + | 0.0336669i | −0.434746 | − | 0.900553i | \(-0.643162\pi\) |
0.356698 | + | 0.934220i | \(0.383903\pi\) | |||||||
\(332\) | 4.77318 | − | 1.81540i | 0.261962 | − | 0.0996333i | ||||
\(333\) | 3.18982 | − | 31.9215i | 0.174801 | − | 1.74929i | ||||
\(334\) | 2.07208 | − | 25.8199i | 0.113379 | − | 1.41280i | ||||
\(335\) | 21.7231 | − | 5.14846i | 1.18686 | − | 0.281290i | ||||
\(336\) | −9.35440 | + | 9.50598i | −0.510324 | + | 0.518594i | ||||
\(337\) | −13.1285 | − | 8.63473i | −0.715153 | − | 0.470364i | 0.139062 | − | 0.990284i | \(-0.455591\pi\) |
−0.854215 | + | 0.519920i | \(0.825962\pi\) | |||||||
\(338\) | −0.512573 | − | 14.1238i | −0.0278803 | − | 0.768236i | ||||
\(339\) | 4.90895 | − | 9.98221i | 0.266617 | − | 0.542159i | ||||
\(340\) | 28.1616 | + | 2.88198i | 1.52728 | + | 0.156297i | ||||
\(341\) | 8.92449 | + | 24.5198i | 0.483288 | + | 1.32782i | ||||
\(342\) | −1.22349 | + | 10.0204i | −0.0661589 | + | 0.541841i | ||||
\(343\) | −18.6216 | − | 6.77769i | −1.00547 | − | 0.365961i | ||||
\(344\) | −24.6115 | − | 9.16828i | −1.32696 | − | 0.494321i | ||||
\(345\) | −3.58301 | − | 19.3697i | −0.192903 | − | 1.04283i | ||||
\(346\) | −3.81155 | + | 27.3926i | −0.204910 | + | 1.47264i | ||||
\(347\) | 20.5768 | + | 8.87596i | 1.10462 | + | 0.476487i | 0.868726 | − | 0.495292i | \(-0.164939\pi\) |
0.235894 | + | 0.971779i | \(0.424198\pi\) | |||||||
\(348\) | 15.5595 | + | 6.29583i | 0.834076 | + | 0.337492i | ||||
\(349\) | −3.37721 | − | 5.13480i | −0.180778 | − | 0.274860i | 0.733718 | − | 0.679454i | \(-0.237783\pi\) |
−0.914496 | + | 0.404594i | \(0.867413\pi\) | |||||||
\(350\) | −2.21494 | − | 3.11536i | −0.118393 | − | 0.166523i | ||||
\(351\) | −2.80009 | − | 8.56337i | −0.149458 | − | 0.457079i | ||||
\(352\) | 24.7362 | + | 1.27091i | 1.31844 | + | 0.0677399i | ||||
\(353\) | 1.21292 | + | 20.8250i | 0.0645570 | + | 1.10840i | 0.862629 | + | 0.505838i | \(0.168817\pi\) |
−0.798072 | + | 0.602563i | \(0.794146\pi\) | |||||||
\(354\) | 3.23504 | − | 10.2969i | 0.171940 | − | 0.547274i | ||||
\(355\) | 2.07205 | + | 17.7275i | 0.109973 | + | 0.940877i | ||||
\(356\) | 6.50166 | − | 10.2017i | 0.344587 | − | 0.540689i | ||||
\(357\) | −21.6565 | − | 12.2626i | −1.14618 | − | 0.649004i | ||||
\(358\) | −0.392695 | + | 17.9266i | −0.0207546 | + | 0.947449i | ||||
\(359\) | −20.7177 | + | 17.3842i | −1.09344 | + | 0.917503i | −0.996966 | − | 0.0778331i | \(-0.975200\pi\) |
−0.0964707 | + | 0.995336i | \(0.530755\pi\) | |||||||
\(360\) | 15.6903 | + | 3.56606i | 0.826954 | + | 0.187948i | ||||
\(361\) | 10.2180 | + | 8.57388i | 0.537787 | + | 0.451257i | ||||
\(362\) | 5.99391 | − | 6.83356i | 0.315033 | − | 0.359164i | ||||
\(363\) | 10.2134 | − | 9.79887i | 0.536063 | − | 0.514307i | ||||
\(364\) | 4.06284 | + | 5.29667i | 0.212951 | + | 0.277621i | ||||
\(365\) | 1.20884 | + | 2.40699i | 0.0632733 | + | 0.125988i | ||||
\(366\) | 6.06507 | + | 5.23058i | 0.317027 | + | 0.273407i | ||||
\(367\) | −11.5108 | − | 12.2007i | −0.600859 | − | 0.636873i | 0.353536 | − | 0.935421i | \(-0.384979\pi\) |
−0.954395 | + | 0.298548i | \(0.903498\pi\) | |||||||
\(368\) | 22.7695 | + | 7.55366i | 1.18694 | + | 0.393762i | ||||
\(369\) | 7.84699 | − | 14.1332i | 0.408498 | − | 0.735744i | ||||
\(370\) | 20.1316 | − | 20.4231i | 1.04659 | − | 1.06175i | ||||
\(371\) | −1.29556 | + | 11.0842i | −0.0672620 | + | 0.575463i | ||||
\(372\) | −19.5545 | − | 6.61746i | −1.01386 | − | 0.343100i | ||||
\(373\) | −7.45509 | − | 7.03351i | −0.386010 | − | 0.364181i | 0.468637 | − | 0.883391i | \(-0.344745\pi\) |
−0.854647 | + | 0.519209i | \(0.826227\pi\) | |||||||
\(374\) | 9.67161 | + | 45.1970i | 0.500107 | + | 2.33708i | ||||
\(375\) | −8.16903 | + | 19.3829i | −0.421847 | + | 1.00093i | ||||
\(376\) | −7.93384 | − | 22.3195i | −0.409157 | − | 1.15104i | ||||
\(377\) | 4.20069 | − | 7.27581i | 0.216347 | − | 0.374723i | ||||
\(378\) | −11.3739 | − | 8.41049i | −0.585010 | − | 0.432589i | ||||
\(379\) | −10.5158 | + | 6.07131i | −0.540161 | + | 0.311862i | −0.745144 | − | 0.666903i | \(-0.767619\pi\) |
0.204983 | + | 0.978766i | \(0.434286\pi\) | |||||||
\(380\) | −6.47408 | + | 6.28629i | −0.332113 | + | 0.322480i | ||||
\(381\) | −15.6694 | + | 24.2646i | −0.802767 | + | 1.24311i | ||||
\(382\) | −8.25806 | + | 25.5346i | −0.422519 | + | 1.30646i | ||||
\(383\) | −13.8295 | − | 3.27764i | −0.706652 | − | 0.167480i | −0.138451 | − | 0.990369i | \(-0.544212\pi\) |
−0.568201 | + | 0.822890i | \(0.692361\pi\) | |||||||
\(384\) | −13.0198 | + | 14.6453i | −0.664416 | + | 0.747363i | ||||
\(385\) | −9.54447 | + | 12.8204i | −0.486431 | + | 0.653391i | ||||
\(386\) | 24.9117 | + | 6.48356i | 1.26797 | + | 0.330004i | ||||
\(387\) | 5.96910 | − | 27.2099i | 0.303426 | − | 1.38315i | ||||
\(388\) | −28.7425 | + | 17.1500i | −1.45918 | + | 0.870658i | ||||
\(389\) | 25.4482 | + | 7.61869i | 1.29027 | + | 0.386283i | 0.857157 | − | 0.515055i | \(-0.172228\pi\) |
0.433117 | + | 0.901338i | \(0.357414\pi\) | |||||||
\(390\) | 2.85664 | − | 7.53013i | 0.144651 | − | 0.381303i | ||||
\(391\) | −2.60294 | + | 44.6908i | −0.131636 | + | 2.26011i | ||||
\(392\) | −8.90617 | − | 2.73956i | −0.449829 | − | 0.138369i | ||||
\(393\) | −9.69993 | − | 21.9787i | −0.489297 | − | 1.10868i | ||||
\(394\) | 4.41472 | + | 13.0090i | 0.222410 | + | 0.655384i | ||||
\(395\) | 5.13006 | + | 0.904568i | 0.258121 | + | 0.0455138i | ||||
\(396\) | 2.34316 | + | 26.1666i | 0.117748 | + | 1.31492i | ||||
\(397\) | 6.98737 | − | 1.23206i | 0.350686 | − | 0.0618354i | 0.00446943 | − | 0.999990i | \(-0.498577\pi\) |
0.346217 | + | 0.938155i | \(0.387466\pi\) | |||||||
\(398\) | −2.81777 | − | 5.13717i | −0.141242 | − | 0.257503i | ||||
\(399\) | 7.43183 | − | 2.77571i | 0.372057 | − | 0.138959i | ||||
\(400\) | −3.48202 | − | 4.40683i | −0.174101 | − | 0.220342i | ||||
\(401\) | −3.11131 | − | 4.17921i | −0.155371 | − | 0.208700i | 0.717621 | − | 0.696434i | \(-0.245231\pi\) |
−0.872992 | + | 0.487734i | \(0.837824\pi\) | |||||||
\(402\) | −28.5948 | − | 3.73487i | −1.42618 | − | 0.186278i | ||||
\(403\) | −4.63739 | + | 9.23381i | −0.231005 | + | 0.459969i | ||||
\(404\) | 2.07502 | + | 10.8534i | 0.103236 | + | 0.539978i | ||||
\(405\) | −1.41214 | + | 17.0080i | −0.0701696 | + | 0.845135i | ||||
\(406\) | −1.24407 | − | 13.1321i | −0.0617420 | − | 0.651734i | ||||
\(407\) | 41.8417 | + | 21.0137i | 2.07402 | + | 1.04161i | ||||
\(408\) | −32.6917 | − | 16.3836i | −1.61848 | − | 0.811108i | ||||
\(409\) | −6.34409 | − | 8.52159i | −0.313695 | − | 0.421365i | 0.617113 | − | 0.786875i | \(-0.288302\pi\) |
−0.930808 | + | 0.365509i | \(0.880895\pi\) | |||||||
\(410\) | 13.3909 | − | 5.43161i | 0.661330 | − | 0.268248i | ||||
\(411\) | −2.74797 | + | 3.33120i | −0.135548 | + | 0.164316i | ||||
\(412\) | 6.76763 | + | 9.97442i | 0.333417 | + | 0.491404i | ||||
\(413\) | −8.35318 | + | 1.47289i | −0.411033 | + | 0.0724762i | ||||
\(414\) | −4.54730 | + | 25.0354i | −0.223488 | + | 1.23042i | ||||
\(415\) | −0.840792 | + | 4.76837i | −0.0412728 | + | 0.234070i | ||||
\(416\) | 6.35596 | + | 7.47030i | 0.311626 | + | 0.366262i | ||||
\(417\) | 25.4775 | + | 2.76169i | 1.24764 | + | 0.135241i | ||||
\(418\) | −13.0184 | − | 6.89917i | −0.636752 | − | 0.337450i | ||||
\(419\) | 6.55087 | + | 0.381545i | 0.320031 | + | 0.0186397i | 0.217408 | − | 0.976081i | \(-0.430240\pi\) |
0.102622 | + | 0.994720i | \(0.467277\pi\) | |||||||
\(420\) | −3.19534 | − | 12.2347i | −0.155916 | − | 0.596993i | ||||
\(421\) | −0.578197 | − | 0.173101i | −0.0281796 | − | 0.00843642i | 0.272682 | − | 0.962104i | \(-0.412089\pi\) |
−0.300862 | + | 0.953668i | \(0.597274\pi\) | |||||||
\(422\) | 3.57936 | + | 7.53412i | 0.174240 | + | 0.366755i | ||||
\(423\) | 22.2600 | − | 11.6506i | 1.08232 | − | 0.566469i | ||||
\(424\) | −1.07662 | + | 16.3617i | −0.0522855 | + | 0.794595i | ||||
\(425\) | 6.25863 | − | 8.40680i | 0.303588 | − | 0.407790i | ||||
\(426\) | 5.61973 | − | 22.3597i | 0.272277 | − | 1.08333i | ||||
\(427\) | 1.45151 | − | 6.12441i | 0.0702436 | − | 0.296381i | ||||
\(428\) | 24.3554 | + | 5.40383i | 1.17726 | + | 0.261204i | ||||
\(429\) | 13.1333 | + | 0.654555i | 0.634081 | + | 0.0316022i | ||||
\(430\) | 19.4218 | − | 15.5849i | 0.936602 | − | 0.751571i | ||||
\(431\) | 1.35512 | + | 2.34713i | 0.0652738 | + | 0.113057i | 0.896815 | − | 0.442405i | \(-0.145875\pi\) |
−0.831542 | + | 0.555462i | \(0.812541\pi\) | |||||||
\(432\) | −17.3161 | − | 11.4958i | −0.833121 | − | 0.553091i | ||||
\(433\) | 17.5676 | − | 30.4280i | 0.844246 | − | 1.46228i | −0.0420289 | − | 0.999116i | \(-0.513382\pi\) |
0.886275 | − | 0.463160i | \(-0.153285\pi\) | |||||||
\(434\) | 2.46660 | + | 16.0349i | 0.118401 | + | 0.769700i | ||||
\(435\) | −12.6853 | + | 9.61012i | −0.608215 | + | 0.460770i | ||||
\(436\) | −9.25096 | − | 29.3578i | −0.443041 | − | 1.40598i | ||||
\(437\) | −10.3797 | − | 9.79277i | −0.496530 | − | 0.468452i | ||||
\(438\) | −0.357151 | − | 3.46089i | −0.0170654 | − | 0.165368i | ||||
\(439\) | −29.3540 | − | 3.43099i | −1.40099 | − | 0.163752i | −0.618192 | − | 0.786027i | \(-0.712134\pi\) |
−0.782799 | + | 0.622275i | \(0.786209\pi\) | |||||||
\(440\) | −13.0522 | + | 19.5232i | −0.622240 | + | 0.930730i | ||||
\(441\) | 1.55286 | − | 9.76047i | 0.0739455 | − | 0.464784i | ||||
\(442\) | −10.3902 | + | 15.0680i | −0.494210 | + | 0.716712i | ||||
\(443\) | 24.6107 | − | 23.2190i | 1.16929 | − | 1.10317i | 0.176376 | − | 0.984323i | \(-0.443563\pi\) |
0.992913 | − | 0.118844i | \(-0.0379189\pi\) | |||||||
\(444\) | −33.6712 | + | 15.4422i | −1.59797 | + | 0.732853i | ||||
\(445\) | 5.14773 | + | 10.2500i | 0.244026 | + | 0.485896i | ||||
\(446\) | 8.85534 | − | 5.55030i | 0.419313 | − | 0.262814i | ||||
\(447\) | −1.57170 | + | 5.41458i | −0.0743391 | + | 0.256101i | ||||
\(448\) | 14.9296 | + | 3.77670i | 0.705360 | + | 0.178432i | ||||
\(449\) | 4.98438 | + | 4.18239i | 0.235228 | + | 0.197379i | 0.752780 | − | 0.658272i | \(-0.228712\pi\) |
−0.517553 | + | 0.855651i | \(0.673157\pi\) | |||||||
\(450\) | 4.11028 | − | 4.31199i | 0.193761 | − | 0.203269i | ||||
\(451\) | 15.1658 | + | 18.0739i | 0.714129 | + | 0.851066i | ||||
\(452\) | −12.8110 | + | 0.931086i | −0.602581 | + | 0.0437946i | ||||
\(453\) | −14.8768 | + | 8.75613i | −0.698972 | + | 0.411399i | ||||
\(454\) | −31.5368 | − | 24.5698i | −1.48010 | − | 1.15312i | ||||
\(455\) | −6.28646 | + | 0.734781i | −0.294714 | + | 0.0344471i | ||||
\(456\) | 10.6992 | − | 4.62600i | 0.501038 | − | 0.216632i | ||||
\(457\) | 0.629217 | + | 10.8032i | 0.0294335 | + | 0.505354i | 0.980519 | + | 0.196426i | \(0.0629334\pi\) |
−0.951085 | + | 0.308929i | \(0.900030\pi\) | |||||||
\(458\) | −27.4046 | − | 12.5400i | −1.28053 | − | 0.585956i | ||||
\(459\) | 12.3451 | − | 36.7683i | 0.576221 | − | 1.71620i | ||||
\(460\) | −17.2123 | + | 14.8696i | −0.802526 | + | 0.693297i | ||||
\(461\) | −7.88981 | − | 11.9959i | −0.367465 | − | 0.558704i | 0.603670 | − | 0.797234i | \(-0.293705\pi\) |
−0.971135 | + | 0.238531i | \(0.923334\pi\) | |||||||
\(462\) | 17.4013 | − | 11.1108i | 0.809581 | − | 0.516923i | ||||
\(463\) | 2.28805 | − | 5.30430i | 0.106335 | − | 0.246512i | −0.856739 | − | 0.515751i | \(-0.827513\pi\) |
0.963073 | + | 0.269239i | \(0.0867722\pi\) | |||||||
\(464\) | −2.80245 | − | 19.1779i | −0.130100 | − | 0.890314i | ||||
\(465\) | 14.8881 | − | 12.7067i | 0.690419 | − | 0.589259i | ||||
\(466\) | −8.21696 | + | 13.5385i | −0.380643 | + | 0.627160i | ||||
\(467\) | 0.189129 | − | 0.519628i | 0.00875185 | − | 0.0240455i | −0.935240 | − | 0.354015i | \(-0.884816\pi\) |
0.943992 | + | 0.329969i | \(0.107038\pi\) | |||||||
\(468\) | −6.90019 | + | 7.78566i | −0.318961 | + | 0.359892i | ||||
\(469\) | 7.75114 | + | 21.2961i | 0.357914 | + | 0.983362i | ||||
\(470\) | 22.0273 | + | 4.38347i | 1.01604 | + | 0.202194i | ||||
\(471\) | 2.64800 | − | 1.77358i | 0.122014 | − | 0.0817224i | ||||
\(472\) | −12.1482 | + | 2.78274i | −0.559165 | + | 0.128086i | ||||
\(473\) | 33.9689 | + | 22.3417i | 1.56189 | + | 1.02727i | ||||
\(474\) | −5.78136 | − | 3.44294i | −0.265547 | − | 0.158139i | ||||
\(475\) | 0.770467 | + | 3.25086i | 0.0353515 | + | 0.149160i | ||||
\(476\) | 0.413031 | + | 28.7343i | 0.0189313 | + | 1.31704i | ||||
\(477\) | −17.3429 | + | 1.30206i | −0.794079 | + | 0.0596171i | ||||
\(478\) | 7.49093 | + | 27.1739i | 0.342627 | + | 1.24290i | ||||
\(479\) | −12.3487 | − | 28.6276i | −0.564228 | − | 1.30803i | −0.926619 | − | 0.376001i | \(-0.877299\pi\) |
0.362392 | − | 0.932026i | \(-0.381960\pi\) | |||||||
\(480\) | −5.59905 | − | 17.7160i | −0.255561 | − | 0.808620i | ||||
\(481\) | 5.31771 | + | 17.7624i | 0.242467 | + | 0.809895i | ||||
\(482\) | 3.42890 | + | 3.79771i | 0.156182 | + | 0.172981i | ||||
\(483\) | 19.1078 | − | 5.89540i | 0.869434 | − | 0.268250i | ||||
\(484\) | −15.7226 | − | 4.46183i | −0.714663 | − | 0.202811i | ||||
\(485\) | − | 31.7345i | − | 1.44099i | ||||||
\(486\) | 9.49810 | − | 19.8944i | 0.430843 | − | 0.902427i | ||||
\(487\) | 21.4266 | 0.970934 | 0.485467 | − | 0.874255i | \(-0.338650\pi\) | ||||
0.485467 | + | 0.874255i | \(0.338650\pi\) | |||||||
\(488\) | 1.67442 | − | 9.09515i | 0.0757976 | − | 0.411718i | ||||
\(489\) | −1.19841 | − | 3.88420i | −0.0541939 | − | 0.175650i | ||||
\(490\) | 6.55742 | − | 5.92060i | 0.296234 | − | 0.267465i | ||||
\(491\) | 17.2670 | − | 5.16940i | 0.779249 | − | 0.233292i | 0.127614 | − | 0.991824i | \(-0.459268\pi\) |
0.651636 | + | 0.758532i | \(0.274083\pi\) | |||||||
\(492\) | −18.6614 | + | 0.424669i | −0.841323 | + | 0.0191456i | ||||
\(493\) | 33.2095 | − | 14.3252i | 1.49568 | − | 0.645173i | ||||
\(494\) | −1.55052 | − | 5.62462i | −0.0697613 | − | 0.253064i | ||||
\(495\) | −22.4436 | − | 10.8045i | −1.00877 | − | 0.485626i | ||||
\(496\) | 4.81237 | + | 23.3467i | 0.216082 | + | 1.04830i | ||||
\(497\) | −17.6300 | + | 4.17839i | −0.790814 | + | 0.187426i | ||||
\(498\) | 3.20020 | − | 5.37375i | 0.143404 | − | 0.240804i | ||||
\(499\) | 7.60039 | − | 11.5558i | 0.340240 | − | 0.517310i | −0.624322 | − | 0.781167i | \(-0.714624\pi\) |
0.964562 | + | 0.263857i | \(0.0849948\pi\) | |||||||
\(500\) | 24.0808 | − | 3.16610i | 1.07692 | − | 0.141592i | ||||
\(501\) | −17.6543 | − | 26.3584i | −0.788738 | − | 1.17760i | ||||
\(502\) | 20.1710 | + | 4.01405i | 0.900274 | + | 0.179156i | ||||
\(503\) | −10.9215 | + | 3.97512i | −0.486968 | + | 0.177242i | −0.573823 | − | 0.818979i | \(-0.694540\pi\) |
0.0868555 | + | 0.996221i | \(0.472318\pi\) | |||||||
\(504\) | −1.74645 | + | 16.2405i | −0.0777932 | + | 0.723407i | ||||
\(505\) | −9.84511 | − | 3.58333i | −0.438102 | − | 0.159456i | ||||
\(506\) | −31.7476 | − | 19.2686i | −1.41135 | − | 0.856594i | ||||
\(507\) | −11.2370 | − | 13.1661i | −0.499055 | − | 0.584729i | ||||
\(508\) | 33.3207 | + | 1.46053i | 1.47837 | + | 0.0648005i | ||||
\(509\) | −32.8522 | − | 14.1711i | −1.45615 | − | 0.628121i | −0.486734 | − | 0.873550i | \(-0.661812\pi\) |
−0.969414 | + | 0.245430i | \(0.921071\pi\) | |||||||
\(510\) | 29.2221 | − | 18.6585i | 1.29398 | − | 0.826214i | ||||
\(511\) | −2.28445 | + | 1.50250i | −0.101058 | + | 0.0664669i | ||||
\(512\) | 22.1892 | + | 4.43149i | 0.980635 | + | 0.195846i | ||||
\(513\) | 6.44897 | + | 10.5484i | 0.284729 | + | 0.465723i | ||||
\(514\) | 1.91123 | − | 4.17675i | 0.0843007 | − | 0.184229i | ||||
\(515\) | −11.4092 | + | 0.664510i | −0.502749 | + | 0.0292818i | ||||
\(516\) | −30.5972 | + | 9.92409i | −1.34697 | + | 0.436884i | ||||
\(517\) | 4.25710 | + | 36.4218i | 0.187227 | + | 1.60183i | ||||
\(518\) | 22.9646 | + | 17.8914i | 1.00901 | + | 0.786102i | ||||
\(519\) | 17.1813 | + | 29.1912i | 0.754175 | + | 1.28135i | ||||
\(520\) | −9.17031 | + | 1.54588i | −0.402145 | + | 0.0677911i | ||||
\(521\) | 1.75516 | − | 1.47275i | 0.0768949 | − | 0.0645225i | −0.603530 | − | 0.797340i | \(-0.706240\pi\) |
0.680425 | + | 0.732818i | \(0.261795\pi\) | |||||||
\(522\) | 19.7238 | − | 5.79453i | 0.863285 | − | 0.253620i | ||||
\(523\) | 3.01632 | − | 3.59471i | 0.131894 | − | 0.157186i | −0.696055 | − | 0.717989i | \(-0.745063\pi\) |
0.827949 | + | 0.560803i | \(0.189507\pi\) | |||||||
\(524\) | −16.2440 | + | 22.4871i | −0.709621 | + | 0.982354i | ||||
\(525\) | −4.49599 | − | 1.30506i | −0.196221 | − | 0.0569576i | ||||
\(526\) | 0.960992 | − | 0.602325i | 0.0419012 | − | 0.0262626i | ||||
\(527\) | −39.7509 | + | 19.9637i | −1.73158 | + | 0.869631i | ||||
\(528\) | 24.7087 | − | 17.5989i | 1.07531 | − | 0.765893i | ||||
\(529\) | −8.90010 | − | 9.43355i | −0.386961 | − | 0.410155i | ||||
\(530\) | −12.7989 | − | 8.82550i | −0.555949 | − | 0.383355i | ||||
\(531\) | −4.72863 | − | 12.3441i | −0.205205 | − | 0.535689i | ||||
\(532\) | −7.10128 | − | 5.78681i | −0.307880 | − | 0.250890i | ||||
\(533\) | −1.08466 | + | 9.27986i | −0.0469818 | + | 0.401955i | ||||
\(534\) | −1.52090 | − | 14.7379i | −0.0658159 | − | 0.637773i | ||||
\(535\) | −16.2323 | + | 17.2052i | −0.701783 | + | 0.743846i | ||||
\(536\) | 12.9585 | + | 30.6740i | 0.559720 | + | 1.32492i | ||||
\(537\) | 13.2612 | + | 17.5047i | 0.572263 | + | 0.755385i | ||||
\(538\) | −42.6467 | + | 6.56022i | −1.83863 | + | 0.282831i | ||||
\(539\) | 12.4922 | + | 7.21237i | 0.538077 | + | 0.310659i | ||||
\(540\) | 17.7726 | − | 8.51412i | 0.764811 | − | 0.366390i | ||||
\(541\) | −29.5955 | + | 17.0870i | −1.27241 | + | 0.734626i | −0.975441 | − | 0.220261i | \(-0.929309\pi\) |
−0.296969 | + | 0.954887i | \(0.595976\pi\) | |||||||
\(542\) | 15.7797 | − | 12.6624i | 0.677798 | − | 0.543895i | ||||
\(543\) | 0.554159 | − | 11.1189i | 0.0237812 | − | 0.477157i | ||||
\(544\) | 2.74356 | + | 42.1350i | 0.117629 | + | 1.80652i | ||||
\(545\) | 28.3979 | + | 6.73043i | 1.21643 | + | 0.288300i | ||||
\(546\) | 7.92910 | + | 1.99285i | 0.339334 | + | 0.0852861i | ||||
\(547\) | 23.0010 | + | 17.1236i | 0.983453 | + | 0.732154i | 0.963517 | − | 0.267648i | \(-0.0862463\pi\) |
0.0199361 | + | 0.999801i | \(0.493654\pi\) | |||||||
\(548\) | 4.92260 | + | 0.795213i | 0.210283 | + | 0.0339698i | ||||
\(549\) | 9.80057 | + | 0.406160i | 0.418278 | + | 0.0173345i | ||||
\(550\) | 3.73102 | + | 7.85335i | 0.159091 | + | 0.334868i | ||||
\(551\) | −3.30656 | + | 11.0447i | −0.140864 | + | 0.470519i | ||||
\(552\) | 27.6009 | − | 10.0725i | 1.17477 | − | 0.428714i | ||||
\(553\) | −0.307474 | + | 5.27912i | −0.0130751 | + | 0.224491i | ||||
\(554\) | 2.20081 | − | 4.15283i | 0.0935037 | − | 0.176437i | ||||
\(555\) | 3.78500 | − | 34.9178i | 0.160664 | − | 1.48218i | ||||
\(556\) | −12.1098 | − | 26.9998i | −0.513569 | − | 1.14505i | ||||
\(557\) | −3.78588 | − | 0.667552i | −0.160413 | − | 0.0282851i | 0.0928650 | − | 0.995679i | \(-0.470398\pi\) |
−0.253278 | + | 0.967394i | \(0.581509\pi\) | |||||||
\(558\) | −23.8029 | + | 8.52516i | −1.00766 | + | 0.360899i | ||||
\(559\) | 2.79578 | + | 15.8556i | 0.118249 | + | 0.670622i | ||||
\(560\) | −10.3282 | + | 10.3211i | −0.436447 | + | 0.436148i | ||||
\(561\) | 43.6676 | + | 36.0223i | 1.84365 | + | 1.52086i | ||||
\(562\) | −15.5398 | − | 38.3113i | −0.655507 | − | 1.61606i | ||||
\(563\) | −23.9725 | + | 17.8469i | −1.01032 | + | 0.752156i | −0.969018 | − | 0.246991i | \(-0.920558\pi\) |
−0.0413027 | + | 0.999147i | \(0.513151\pi\) | |||||||
\(564\) | −24.5951 | − | 15.3864i | −1.03564 | − | 0.647886i | ||||
\(565\) | 5.46580 | − | 10.8833i | 0.229948 | − | 0.457864i | ||||
\(566\) | 0.00805661 | + | 0.0850437i | 0.000338644 | + | 0.00357465i | ||||
\(567\) | −17.3152 | + | 0.580582i | −0.727170 | + | 0.0243821i | ||||
\(568\) | −25.5601 | + | 7.44296i | −1.07248 | + | 0.312300i | ||||
\(569\) | −33.6532 | − | 16.9013i | −1.41082 | − | 0.708538i | −0.429883 | − | 0.902885i | \(-0.641445\pi\) |
−0.980933 | + | 0.194347i | \(0.937741\pi\) | |||||||
\(570\) | −1.43138 | + | 10.9589i | −0.0599539 | + | 0.459018i | ||||
\(571\) | 0.100470 | − | 0.0747974i | 0.00420455 | − | 0.00313017i | −0.595054 | − | 0.803686i | \(-0.702869\pi\) |
0.599259 | + | 0.800555i | \(0.295462\pi\) | |||||||
\(572\) | −7.00880 | − | 13.4694i | −0.293053 | − | 0.563185i | ||||
\(573\) | 11.5000 | + | 30.7907i | 0.480419 | + | 1.28630i | ||||
\(574\) | 7.05469 | + | 12.8616i | 0.294457 | + | 0.536833i | ||||
\(575\) | 1.46231 | + | 8.29317i | 0.0609825 | + | 0.345849i | ||||
\(576\) | −1.35473 | + | 23.9617i | −0.0564470 | + | 0.998406i | ||||
\(577\) | 3.52282 | − | 19.9789i | 0.146657 | − | 0.831732i | −0.819365 | − | 0.573272i | \(-0.805674\pi\) |
0.966022 | − | 0.258460i | \(-0.0832150\pi\) | |||||||
\(578\) | −51.8475 | + | 17.5949i | −2.15657 | + | 0.731851i | ||||
\(579\) | 28.8429 | − | 12.7293i | 1.19867 | − | 0.529012i | ||||
\(580\) | 16.9765 | + | 7.03529i | 0.704910 | + | 0.292125i | ||||
\(581\) | −4.90692 | − | 0.285795i | −0.203573 | − | 0.0118568i | ||||
\(582\) | −14.5399 | + | 38.3272i | −0.602696 | + | 1.58871i | ||||
\(583\) | 7.28009 | − | 24.3172i | 0.301510 | − | 1.00711i | ||||
\(584\) | −3.24051 | + | 2.37476i | −0.134093 | + | 0.0982683i | ||||
\(585\) | −2.98693 | − | 9.40069i | −0.123494 | − | 0.388671i | ||||
\(586\) | −1.60101 | + | 6.15154i | −0.0661371 | + | 0.254118i | ||||
\(587\) | 1.31314 | + | 0.977594i | 0.0541989 | + | 0.0403496i | 0.623917 | − | 0.781490i | \(-0.285540\pi\) |
−0.569718 | + | 0.821840i | \(0.692948\pi\) | |||||||
\(588\) | −10.6324 | + | 4.14616i | −0.438471 | + | 0.170985i | ||||
\(589\) | 3.27004 | − | 13.7974i | 0.134739 | − | 0.568511i | ||||
\(590\) | 3.63612 | − | 11.2432i | 0.149697 | − | 0.462874i | ||||
\(591\) | 14.1342 | + | 9.12745i | 0.581402 | + | 0.375453i | ||||
\(592\) | 35.0300 | + | 24.5462i | 1.43972 | + | 1.00884i | ||||
\(593\) | −21.5166 | − | 37.2679i | −0.883582 | − | 1.53041i | −0.847331 | − | 0.531066i | \(-0.821792\pi\) |
−0.0362511 | − | 0.999343i | \(-0.511542\pi\) | |||||||
\(594\) | 22.1559 | + | 23.3321i | 0.909067 | + | 0.957330i | ||||
\(595\) | −23.5966 | − | 13.6235i | −0.967366 | − | 0.558509i | ||||
\(596\) | 6.31258 | − | 1.59227i | 0.258573 | − | 0.0652219i | ||||
\(597\) | −6.61274 | − | 2.78697i | −0.270641 | − | 0.114063i | ||||
\(598\) | −3.07729 | − | 14.3807i | −0.125840 | − | 0.588070i | ||||
\(599\) | 1.97558 | − | 2.09399i | 0.0807199 | − | 0.0855581i | −0.685755 | − | 0.727833i | \(-0.740528\pi\) |
0.766475 | + | 0.642275i | \(0.222009\pi\) | |||||||
\(600\) | −6.69466 | − | 1.58065i | −0.273308 | − | 0.0645299i | ||||
\(601\) | 41.7479 | + | 4.87963i | 1.70293 | + | 0.199044i | 0.911240 | − | 0.411875i | \(-0.135126\pi\) |
0.791693 | + | 0.610920i | \(0.209200\pi\) | |||||||
\(602\) | 18.0028 | + | 17.7458i | 0.733737 | + | 0.723266i | ||||
\(603\) | −30.2868 | + | 18.1695i | −1.23337 | + | 0.739920i | ||||
\(604\) | 17.4038 | + | 9.71728i | 0.708151 | + | 0.395391i | ||||
\(605\) | 11.2713 | − | 10.6339i | 0.458243 | − | 0.432330i | ||||
\(606\) | 10.2486 | + | 8.83851i | 0.416322 | + | 0.359040i | ||||
\(607\) | 4.65466 | − | 2.33766i | 0.188927 | − | 0.0948826i | −0.351821 | − | 0.936067i | \(-0.614438\pi\) |
0.540748 | + | 0.841185i | \(0.318141\pi\) | |||||||
\(608\) | −10.8511 | − | 7.96353i | −0.440072 | − | 0.322964i | ||||
\(609\) | −11.1846 | − | 11.6577i | −0.453224 | − | 0.472396i | ||||
\(610\) | 6.59194 | + | 5.78198i | 0.266900 | + | 0.234105i | ||||
\(611\) | −9.33395 | + | 11.1238i | −0.377611 | + | 0.450020i | ||||
\(612\) | −43.8417 | + | 9.14603i | −1.77220 | + | 0.369706i | ||||
\(613\) | 9.56088 | + | 11.3942i | 0.386160 | + | 0.460208i | 0.923748 | − | 0.383000i | \(-0.125109\pi\) |
−0.537588 | + | 0.843207i | \(0.680665\pi\) | |||||||
\(614\) | −0.428491 | + | 19.5607i | −0.0172925 | + | 0.789404i | ||||
\(615\) | 8.72039 | − | 15.4008i | 0.351640 | − | 0.621018i | ||||
\(616\) | −21.2229 | − | 10.8594i | −0.855097 | − | 0.437538i | ||||
\(617\) | 25.3833 | − | 2.96689i | 1.02189 | − | 0.119442i | 0.411394 | − | 0.911458i | \(-0.365042\pi\) |
0.610501 | + | 0.792015i | \(0.290968\pi\) | |||||||
\(618\) | 14.0839 | + | 4.42482i | 0.566537 | + | 0.177992i | ||||
\(619\) | −28.3381 | + | 1.65050i | −1.13900 | + | 0.0663394i | −0.617257 | − | 0.786761i | \(-0.711756\pi\) |
−0.521746 | + | 0.853101i | \(0.674719\pi\) | |||||||
\(620\) | −21.3472 | − | 7.42406i | −0.857325 | − | 0.298157i | ||||
\(621\) | 14.6818 | + | 27.4885i | 0.589160 | + | 1.10308i | ||||
\(622\) | 3.89286 | + | 5.47540i | 0.156089 | + | 0.219544i | ||||
\(623\) | −9.72814 | + | 6.39830i | −0.389750 | + | 0.256343i | ||||
\(624\) | 11.7837 | + | 2.33455i | 0.471725 | + | 0.0934570i | ||||
\(625\) | −6.34040 | + | 14.6987i | −0.253616 | + | 0.587948i | ||||
\(626\) | 22.3823 | + | 3.11439i | 0.894577 | + | 0.124476i | ||||
\(627\) | −17.7438 | + | 3.28225i | −0.708620 | + | 0.131081i | ||||
\(628\) | −3.31208 | − | 1.60420i | −0.132167 | − | 0.0640146i | ||||
\(629\) | −27.2997 | + | 75.0054i | −1.08851 | + | 2.99066i | ||||
\(630\) | −12.3748 | − | 9.31198i | −0.493023 | − | 0.370998i | ||||
\(631\) | 12.0249 | − | 4.37669i | 0.478702 | − | 0.174233i | −0.0913881 | − | 0.995815i | \(-0.529130\pi\) |
0.570090 | + | 0.821582i | \(0.306908\pi\) | |||||||
\(632\) | −0.0584993 | + | 7.76964i | −0.00232698 | + | 0.309060i | ||||
\(633\) | 9.16725 | + | 4.50818i | 0.364366 | + | 0.179184i | ||||
\(634\) | 19.6596 | − | 0.713472i | 0.780781 | − | 0.0283356i | ||||
\(635\) | −17.3771 | + | 26.4206i | −0.689590 | + | 1.04847i | ||||
\(636\) | 11.4142 | + | 16.5231i | 0.452604 | + | 0.655183i | ||||
\(637\) | 1.31731 | + | 5.55816i | 0.0521936 | + | 0.220222i | ||||
\(638\) | −2.40013 | + | 29.9076i | −0.0950220 | + | 1.18405i | ||||
\(639\) | −11.6169 | − | 25.7362i | −0.459556 | − | 1.01811i | ||||
\(640\) | −14.3882 | + | 15.9139i | −0.568745 | + | 0.629052i | ||||
\(641\) | 0.988598 | + | 2.29183i | 0.0390473 | + | 0.0905217i | 0.936624 | − | 0.350337i | \(-0.113933\pi\) |
−0.897576 | + | 0.440859i | \(0.854674\pi\) | |||||||
\(642\) | 27.4874 | − | 13.3424i | 1.08484 | − | 0.526581i | ||||
\(643\) | −35.4250 | + | 10.6056i | −1.39703 | + | 0.418242i | −0.894790 | − | 0.446488i | \(-0.852675\pi\) |
−0.502237 | + | 0.864730i | \(0.667489\pi\) | |||||||
\(644\) | −17.0211 | − | 15.6023i | −0.670725 | − | 0.614818i | ||||
\(645\) | 6.78447 | − | 29.7341i | 0.267138 | − | 1.17078i | ||||
\(646\) | 9.10529 | − | 23.4083i | 0.358243 | − | 0.920986i | ||||
\(647\) | −3.47517 | −0.136623 | −0.0683115 | − | 0.997664i | \(-0.521761\pi\) | ||||
−0.0683115 | + | 0.997664i | \(0.521761\pi\) | |||||||
\(648\) | −25.3657 | + | 2.13999i | −0.996460 | + | 0.0840669i | ||||
\(649\) | 19.2931 | 0.757320 | ||||||||
\(650\) | −1.24815 | + | 3.20881i | −0.0489566 | + | 0.125860i | ||||
\(651\) | 14.5664 | + | 13.5138i | 0.570903 | + | 0.529648i | ||||
\(652\) | −3.17162 | + | 3.46002i | −0.124210 | + | 0.135505i | ||||
\(653\) | 4.13694 | − | 1.23852i | 0.161891 | − | 0.0484670i | −0.204832 | − | 0.978797i | \(-0.565665\pi\) |
0.366723 | + | 0.930330i | \(0.380480\pi\) | |||||||
\(654\) | −31.2138 | − | 21.1398i | −1.22056 | − | 0.826632i | ||||
\(655\) | −10.4177 | − | 24.1508i | −0.407052 | − | 0.943652i | ||||
\(656\) | 11.3090 | + | 18.3488i | 0.441544 | + | 0.716401i | ||||
\(657\) | −2.97575 | − | 3.05006i | −0.116095 | − | 0.118994i | ||||
\(658\) | −1.82381 | + | 22.7262i | −0.0710996 | + | 0.885960i | ||||
\(659\) | −5.50367 | − | 23.2218i | −0.214393 | − | 0.904593i | −0.968732 | − | 0.248109i | \(-0.920191\pi\) |
0.754340 | − | 0.656484i | \(-0.227957\pi\) | |||||||
\(660\) | 2.32520 | + | 28.6682i | 0.0905083 | + | 1.11591i | ||||
\(661\) | 20.3858 | − | 30.9951i | 0.792916 | − | 1.20557i | −0.182066 | − | 0.983286i | \(-0.558278\pi\) |
0.974982 | − | 0.222284i | \(-0.0713512\pi\) | |||||||
\(662\) | 2.18557 | − | 0.0793171i | 0.0849445 | − | 0.00308275i | ||||
\(663\) | 1.49088 | + | 22.3669i | 0.0579009 | + | 0.868658i | ||||
\(664\) | −7.22184 | − | 0.0543748i | −0.280262 | − | 0.00211015i | ||||
\(665\) | 8.16168 | − | 2.97061i | 0.316496 | − | 0.115195i | ||||
\(666\) | −20.5697 | + | 40.4377i | −0.797059 | + | 1.56693i | ||||
\(667\) | −9.93912 | + | 27.3075i | −0.384844 | + | 1.05735i | ||||
\(668\) | −15.9683 | + | 32.9686i | −0.617832 | + | 1.27560i | ||||
\(669\) | 4.27684 | − | 12.0641i | 0.165352 | − | 0.466426i | ||||
\(670\) | −31.2708 | − | 4.35118i | −1.20810 | − | 0.168101i | ||||
\(671\) | −5.67043 | + | 13.1455i | −0.218904 | + | 0.507477i | ||||
\(672\) | 17.2027 | − | 7.73323i | 0.663610 | − | 0.298316i | ||||
\(673\) | 18.2919 | − | 12.0307i | 0.705099 | − | 0.463751i | −0.145641 | − | 0.989337i | \(-0.546524\pi\) |
0.850740 | + | 0.525587i | \(0.176154\pi\) | |||||||
\(674\) | 12.8767 | + | 18.1114i | 0.495991 | + | 0.697624i | ||||
\(675\) | 0.664597 | − | 7.26566i | 0.0255803 | − | 0.279656i | ||||
\(676\) | −6.56540 | + | 18.8782i | −0.252515 | + | 0.726085i | ||||
\(677\) | −21.5584 | + | 1.25563i | −0.828557 | + | 0.0482580i | −0.467181 | − | 0.884162i | \(-0.654730\pi\) |
−0.361377 | + | 0.932420i | \(0.617693\pi\) | |||||||
\(678\) | −11.5877 | + | 10.6400i | −0.445024 | + | 0.408626i | ||||
\(679\) | 31.9971 | − | 3.73992i | 1.22794 | − | 0.143525i | ||||
\(680\) | −35.6399 | − | 18.2363i | −1.36673 | − | 0.699331i | ||||
\(681\) | −48.9612 | + | 0.410276i | −1.87620 | + | 0.0157218i | ||||
\(682\) | 0.808166 | − | 36.8929i | 0.0309463 | − | 1.41270i | ||||
\(683\) | 29.4188 | + | 35.0600i | 1.12568 | + | 1.34153i | 0.932835 | + | 0.360303i | \(0.117327\pi\) |
0.192844 | + | 0.981229i | \(0.438229\pi\) | |||||||
\(684\) | 6.74981 | − | 12.5798i | 0.258086 | − | 0.481000i | ||||
\(685\) | −3.03899 | + | 3.62172i | −0.116114 | + | 0.138379i | ||||
\(686\) | 21.0687 | + | 18.4800i | 0.804407 | + | 0.705568i | ||||
\(687\) | −35.8432 | + | 8.81284i | −1.36750 | + | 0.336231i | ||||
\(688\) | 27.7379 | + | 24.7017i | 1.05750 | + | 0.941743i | ||||
\(689\) | 8.98259 | − | 4.51123i | 0.342209 | − | 0.171864i | ||||
\(690\) | −5.20797 | + | 27.3665i | −0.198264 | + | 1.04183i | ||||
\(691\) | 19.2935 | − | 18.2025i | 0.733960 | − | 0.692456i | −0.225518 | − | 0.974239i | \(-0.572407\pi\) |
0.959478 | + | 0.281783i | \(0.0909259\pi\) | |||||||
\(692\) | 19.0673 | − | 34.1498i | 0.724829 | − | 1.29818i | ||||
\(693\) | 8.24892 | − | 23.9027i | 0.313351 | − | 0.907988i | ||||
\(694\) | −22.5700 | − | 22.2479i | −0.856745 | − | 0.844519i | ||||
\(695\) | 27.8669 | + | 3.25717i | 1.05705 | + | 0.123552i | ||||
\(696\) | −17.2799 | − | 16.2750i | −0.654993 | − | 0.616902i | ||||
\(697\) | −27.6014 | + | 29.2558i | −1.04548 | + | 1.10814i | ||||
\(698\) | 1.81872 | + | 8.49916i | 0.0688394 | + | 0.321698i | ||||
\(699\) | 2.41312 | + | 19.2456i | 0.0912725 | + | 0.727934i | ||||
\(700\) | 1.32214 | + | 5.24164i | 0.0499722 | + | 0.198115i | ||||
\(701\) | −9.23908 | − | 5.33419i | −0.348955 | − | 0.201469i | 0.315270 | − | 0.949002i | \(-0.397905\pi\) |
−0.664225 | + | 0.747533i | \(0.731238\pi\) | |||||||
\(702\) | −0.699682 | + | 12.7222i | −0.0264078 | + | 0.480168i | ||||
\(703\) | −12.7219 | − | 22.0350i | −0.479816 | − | 0.831065i | ||||
\(704\) | −31.9511 | − | 14.3568i | −1.20420 | − | 0.541091i | ||||
\(705\) | 24.4767 | − | 12.5506i | 0.921846 | − | 0.472683i | ||||
\(706\) | 9.07785 | − | 28.0694i | 0.341649 | − | 1.05641i | ||||
\(707\) | 2.45273 | − | 10.3489i | 0.0922444 | − | 0.389210i | ||||
\(708\) | −9.54281 | + | 11.9129i | −0.358641 | + | 0.447715i | ||||
\(709\) | 14.0379 | + | 10.4508i | 0.527205 | + | 0.392490i | 0.827594 | − | 0.561327i | \(-0.189709\pi\) |
−0.300389 | + | 0.953817i | \(0.597116\pi\) | |||||||
\(710\) | 6.35750 | − | 24.4274i | 0.238593 | − | 0.916743i | ||||
\(711\) | −8.16827 | + | 1.09378i | −0.306334 | + | 0.0410200i | ||||
\(712\) | −13.7995 | + | 10.1127i | −0.517157 | + | 0.378991i | ||||
\(713\) | 10.2506 | − | 34.2396i | 0.383890 | − | 1.28228i | ||||
\(714\) | 22.2568 | + | 27.2650i | 0.832940 | + | 1.02037i | ||||
\(715\) | 14.3720 | + | 0.837077i | 0.537484 | + | 0.0313049i | ||||
\(716\) | 9.70814 | − | 23.4262i | 0.362810 | − | 0.875477i | ||||
\(717\) | 27.8630 | + | 20.3826i | 1.04056 | + | 0.761203i | ||||
\(718\) | 36.2187 | − | 12.2911i | 1.35167 | − | 0.458701i | ||||
\(719\) | −1.55766 | + | 8.83395i | −0.0580911 | + | 0.329451i | −0.999979 | − | 0.00647638i | \(-0.997938\pi\) |
0.941888 | + | 0.335927i | \(0.109050\pi\) | |||||||
\(720\) | −18.8519 | − | 12.7442i | −0.702567 | − | 0.474948i | ||||
\(721\) | −2.01459 | − | 11.4253i | −0.0750272 | − | 0.425501i | ||||
\(722\) | −9.07177 | − | 16.5390i | −0.337616 | − | 0.615518i | ||||
\(723\) | 6.18027 | + | 1.03643i | 0.229847 | + | 0.0385452i | ||||
\(724\) | −11.4035 | + | 5.93379i | −0.423807 | + | 0.220528i | ||||
\(725\) | 5.45725 | − | 4.06277i | 0.202677 | − | 0.150888i | ||||
\(726\) | −18.4850 | + | 7.67888i | −0.686044 | + | 0.284990i | ||||
\(727\) | −9.05364 | − | 4.54691i | −0.335781 | − | 0.168635i | 0.272917 | − | 0.962038i | \(-0.412012\pi\) |
−0.608698 | + | 0.793402i | \(0.708308\pi\) | |||||||
\(728\) | −2.63939 | − | 9.06402i | −0.0978225 | − | 0.335935i | ||||
\(729\) | −6.01886 | − | 26.3206i | −0.222921 | − | 0.974837i | ||||
\(730\) | −0.359253 | − | 3.79219i | −0.0132965 | − | 0.140355i | ||||
\(731\) | −31.1064 | + | 61.9380i | −1.15051 | + | 2.29086i | ||||
\(732\) | −5.31225 | − | 10.0034i | −0.196347 | − | 0.369737i | ||||
\(733\) | −32.9475 | + | 24.5285i | −1.21694 | + | 0.905981i | −0.997571 | − | 0.0696598i | \(-0.977809\pi\) |
−0.219373 | + | 0.975641i | \(0.570401\pi\) | |||||||
\(734\) | 8.91635 | + | 21.9821i | 0.329108 | + | 0.811373i | ||||
\(735\) | 1.78958 | − | 10.6713i | 0.0660095 | − | 0.393618i | ||||
\(736\) | −26.1380 | − | 21.6293i | −0.963459 | − | 0.797265i | ||||
\(737\) | −8.95130 | − | 50.7653i | −0.329725 | − | 1.86996i | ||||
\(738\) | −17.5882 | + | 14.6048i | −0.647431 | + | 0.537609i | ||||
\(739\) | 18.3789 | + | 3.24070i | 0.676079 | + | 0.119211i | 0.501137 | − | 0.865368i | \(-0.332915\pi\) |
0.174942 | + | 0.984579i | \(0.444026\pi\) | |||||||
\(740\) | −37.0043 | + | 16.5969i | −1.36030 | + | 0.610114i | ||||
\(741\) | −5.76727 | − | 4.21893i | −0.211866 | − | 0.154986i | ||||
\(742\) | 7.39018 | − | 13.9449i | 0.271302 | − | 0.511934i | ||||
\(743\) | 2.87879 | − | 49.4270i | 0.105613 | − | 1.81330i | −0.365051 | − | 0.930988i | \(-0.618948\pi\) |
0.470664 | − | 0.882313i | \(-0.344014\pi\) | |||||||
\(744\) | 22.3805 | + | 18.7471i | 0.820510 | + | 0.687302i | ||||
\(745\) | −1.77034 | + | 5.91336i | −0.0648604 | + | 0.216649i | ||||
\(746\) | 6.21999 | + | 13.0923i | 0.227730 | + | 0.479344i | ||||
\(747\) | −1.01666 | − | 7.59237i | −0.0371978 | − | 0.277790i | ||||
\(748\) | 10.4242 | − | 64.5288i | 0.381146 | − | 2.35941i | ||||
\(749\) | −19.2606 | − | 14.3390i | −0.703766 | − | 0.523935i | ||||
\(750\) | 20.7041 | − | 21.3589i | 0.756006 | − | 0.779916i | ||||
\(751\) | 34.9058 | + | 8.27283i | 1.27373 | + | 0.301880i | 0.811224 | − | 0.584736i | \(-0.198802\pi\) |
0.462507 | + | 0.886616i | \(0.346950\pi\) | |||||||
\(752\) | −0.985790 | + | 33.4849i | −0.0359481 | + | 1.22107i | ||||
\(753\) | 22.4139 | − | 11.4929i | 0.816808 | − | 0.418824i | ||||
\(754\) | −9.26672 | + | 7.43602i | −0.337474 | + | 0.270804i | ||||
\(755\) | −16.3671 | + | 9.44957i | −0.595661 | + | 0.343905i | ||||
\(756\) | 10.6791 | + | 16.9163i | 0.388395 | + | 0.615239i | ||||
\(757\) | 17.3695 | + | 10.0283i | 0.631305 | + | 0.364484i | 0.781257 | − | 0.624209i | \(-0.214579\pi\) |
−0.149952 | + | 0.988693i | \(0.547912\pi\) | |||||||
\(758\) | 16.9726 | − | 2.61085i | 0.616473 | − | 0.0948303i | ||||
\(759\) | −45.1305 | + | 5.65871i | −1.63813 | + | 0.205398i | ||||
\(760\) | 11.7558 | − | 4.96630i | 0.426426 | − | 0.180147i | ||||
\(761\) | −4.52774 | + | 4.79912i | −0.164130 | + | 0.173968i | −0.804219 | − | 0.594333i | \(-0.797416\pi\) |
0.640089 | + | 0.768301i | \(0.278898\pi\) | |||||||
\(762\) | 33.0924 | − | 23.9477i | 1.19881 | − | 0.867535i | ||||
\(763\) | −3.43942 | + | 29.4261i | −0.124515 | + | 1.06530i | ||||
\(764\) | 23.9753 | − | 29.4212i | 0.867394 | − | 1.06442i | ||||
\(765\) | 13.8525 | − | 40.1400i | 0.500838 | − | 1.45126i | ||||
\(766\) | 16.5471 | + | 11.4100i | 0.597869 | + | 0.412261i | ||||
\(767\) | 5.24287 | + | 5.55712i | 0.189309 | + | 0.200656i | ||||
\(768\) | 24.6686 | − | 12.6277i | 0.890153 | − | 0.455662i | ||||
\(769\) | 15.3671 | − | 7.71766i | 0.554153 | − | 0.278306i | −0.149605 | − | 0.988746i | \(-0.547800\pi\) |
0.703758 | + | 0.710440i | \(0.251504\pi\) | |||||||
\(770\) | 19.1525 | − | 12.0043i | 0.690208 | − | 0.432605i | ||||
\(771\) | −1.34317 | − | 5.46287i | −0.0483730 | − | 0.196740i | ||||
\(772\) | −29.5100 | − | 21.3171i | −1.06209 | − | 0.767219i | ||||
\(773\) | 26.8387 | − | 31.9851i | 0.965320 | − | 1.15042i | −0.0232600 | − | 0.999729i | \(-0.507405\pi\) |
0.988580 | − | 0.150695i | \(-0.0481510\pi\) | |||||||
\(774\) | −21.8172 | + | 32.8028i | −0.784204 | + | 1.17907i | ||||
\(775\) | −6.41000 | + | 5.37863i | −0.230254 | + | 0.193206i | ||||
\(776\) | 46.6755 | − | 7.86827i | 1.67555 | − | 0.282454i | ||||
\(777\) | 35.6528 | − | 0.298757i | 1.27904 | − | 0.0107178i | ||||
\(778\) | −29.6351 | − | 23.0883i | −1.06247 | − | 0.827754i | ||||
\(779\) | −1.48845 | − | 12.7345i | −0.0533293 | − | 0.456262i | ||||
\(780\) | −7.62562 | + | 8.46028i | −0.273041 | + | 0.302927i | ||||
\(781\) | 41.1420 | − | 2.39625i | 1.47218 | − | 0.0857446i | ||||
\(782\) | 26.3427 | − | 57.5686i | 0.942012 | − | 2.05865i | ||||
\(783\) | 14.5226 | − | 20.5670i | 0.518994 | − | 0.735003i | ||||
\(784\) | 10.3339 | + | 8.17678i | 0.369069 | + | 0.292028i | ||||
\(785\) | 2.91525 | − | 1.91739i | 0.104050 | − | 0.0684347i | ||||
\(786\) | 1.51665 | + | 33.9412i | 0.0540970 | + | 1.21064i | ||||
\(787\) | 24.2725 | + | 10.4701i | 0.865220 | + | 0.373220i | 0.781975 | − | 0.623310i | \(-0.214212\pi\) |
0.0832449 | + | 0.996529i | \(0.473472\pi\) | |||||||
\(788\) | 0.850761 | − | 19.4094i | 0.0303071 | − | 0.691430i | ||||
\(789\) | 0.464128 | − | 1.30921i | 0.0165234 | − | 0.0466092i | ||||
\(790\) | −6.29774 | − | 3.82230i | −0.224064 | − | 0.135991i | ||||
\(791\) | 11.6175 | + | 4.22843i | 0.413071 | + | 0.150346i | ||||
\(792\) | 10.3267 | − | 35.6892i | 0.366944 | − | 1.26816i | ||||
\(793\) | −5.32732 | + | 1.93899i | −0.189179 | + | 0.0688555i | ||||
\(794\) | −9.84110 | − | 1.95839i | −0.349248 | − | 0.0695008i | ||||
\(795\) | −18.9987 | + | 1.26636i | −0.673813 | + | 0.0449133i | ||||
\(796\) | 1.08016 | + | 8.21547i | 0.0382851 | + | 0.291190i | ||||
\(797\) | −13.2053 | + | 20.0776i | −0.467754 | + | 0.711186i | −0.989915 | − | 0.141661i | \(-0.954756\pi\) |
0.522161 | + | 0.852847i | \(0.325126\pi\) | |||||||
\(798\) | −11.2183 | − | 0.151712i | −0.397123 | − | 0.00537056i | ||||
\(799\) | −60.8271 | + | 14.4163i | −2.15191 | + | 0.510012i | ||||
\(800\) | 2.33007 | + | 7.59342i | 0.0823803 | + | 0.268468i | ||||
\(801\) | −12.6720 | − | 12.9884i | −0.447744 | − | 0.458924i | ||||
\(802\) | 1.95816 | + | 7.10336i | 0.0691451 | + | 0.250828i | ||||
\(803\) | 5.71068 | − | 2.46335i | 0.201525 | − | 0.0869296i | ||||
\(804\) | 35.7736 | + | 19.5825i | 1.26164 | + | 0.690623i | ||||
\(805\) | 20.9729 | − | 6.27888i | 0.739198 | − | 0.221301i | ||||
\(806\) | 10.8461 | − | 9.79280i | 0.382038 | − | 0.344937i | ||||
\(807\) | −35.9416 | + | 38.7411i | −1.26520 | + | 1.36375i | ||||
\(808\) | 2.82940 | − | 15.3688i | 0.0995380 | − | 0.540672i | ||||
\(809\) | 7.33194 | 0.257777 | 0.128889 | − | 0.991659i | \(-0.458859\pi\) | ||||
0.128889 | + | 0.991659i | \(0.458859\pi\) | |||||||
\(810\) | 10.5808 | − | 21.6928i | 0.371773 | − | 0.762209i | ||||
\(811\) | − | 38.2459i | − | 1.34300i | −0.741007 | − | 0.671498i | \(-0.765651\pi\) | ||
0.741007 | − | 0.671498i | \(-0.234349\pi\) | |||||||
\(812\) | −5.09283 | + | 17.9461i | −0.178723 | + | 0.629784i | ||||
\(813\) | 5.51221 | − | 24.1582i | 0.193322 | − | 0.847265i | ||||
\(814\) | −44.3747 | − | 49.1477i | −1.55533 | − | 1.72262i | ||||
\(815\) | −1.27636 | − | 4.26334i | −0.0447090 | − | 0.149338i | ||||
\(816\) | 34.6886 | + | 38.3541i | 1.21434 | + | 1.34266i | ||||
\(817\) | −8.75097 | − | 20.2870i | −0.306158 | − | 0.709753i | ||||
\(818\) | 3.99277 | + | 14.4840i | 0.139604 | + | 0.506423i | ||||
\(819\) | 9.12648 | − | 4.11953i | 0.318905 | − | 0.143948i | ||||
\(820\) | −20.4341 | + | 0.293723i | −0.713589 | + | 0.0102572i | ||||
\(821\) | 5.40396 | + | 22.8011i | 0.188600 | + | 0.795764i | 0.982278 | + | 0.187427i | \(0.0600149\pi\) |
−0.793679 | + | 0.608337i | \(0.791837\pi\) | |||||||
\(822\) | 5.32970 | − | 2.98175i | 0.185895 | − | 0.104000i | ||||
\(823\) | 20.2407 | + | 13.3125i | 0.705547 | + | 0.464046i | 0.850896 | − | 0.525335i | \(-0.176060\pi\) |
−0.145348 | + | 0.989381i | \(0.546430\pi\) | |||||||
\(824\) | −3.80618 | − | 16.6160i | −0.132594 | − | 0.578847i | ||||
\(825\) | 9.55568 | + | 4.69919i | 0.332686 | + | 0.163605i | ||||
\(826\) | 11.7647 | + | 2.34120i | 0.409347 | + | 0.0814606i | ||||
\(827\) | −17.1787 | − | 47.1981i | −0.597362 | − | 1.64124i | −0.756508 | − | 0.653984i | \(-0.773096\pi\) |
0.159146 | − | 0.987255i | \(-0.449126\pi\) | |||||||
\(828\) | 18.8285 | − | 30.6657i | 0.654335 | − | 1.06571i | ||||
\(829\) | 17.5706 | − | 48.2749i | 0.610253 | − | 1.67666i | −0.119408 | − | 0.992845i | \(-0.538100\pi\) |
0.729660 | − | 0.683810i | \(-0.239678\pi\) | |||||||
\(830\) | 3.55281 | − | 5.85372i | 0.123320 | − | 0.203186i | ||||
\(831\) | −1.04703 | − | 5.66023i | −0.0363210 | − | 0.196351i | ||||
\(832\) | −4.54739 | − | 13.1045i | −0.157652 | − | 0.454318i | ||||
\(833\) | −9.73974 | + | 22.5792i | −0.337462 | + | 0.782324i | ||||
\(834\) | −32.1638 | − | 16.7017i | −1.11374 | − | 0.578332i | ||||
\(835\) | −19.0858 | − | 29.0186i | −0.660492 | − | 1.00423i | ||||
\(836\) | 13.6214 | + | 15.7675i | 0.471106 | + | 0.545329i | ||||
\(837\) | −16.3603 | + | 26.2911i | −0.565496 | + | 0.908754i | ||||
\(838\) | −8.43853 | − | 3.86136i | −0.291504 | − | 0.133389i | ||||
\(839\) | −1.74331 | − | 29.9315i | −0.0601858 | − | 1.03335i | −0.884298 | − | 0.466923i | \(-0.845362\pi\) |
0.824112 | − | 0.566427i | \(-0.191675\pi\) | |||||||
\(840\) | −2.06097 | + | 17.7637i | −0.0711102 | + | 0.612906i | ||||
\(841\) | −5.48472 | + | 0.641071i | −0.189128 | + | 0.0221059i | ||||
\(842\) | 0.673327 | + | 0.524578i | 0.0232044 | + | 0.0180782i | ||||
\(843\) | −44.0614 | − | 24.9490i | −1.51756 | − | 0.859288i | ||||
\(844\) | −0.855071 | − | 11.7651i | −0.0294328 | − | 0.404973i | ||||
\(845\) | −12.1813 | − | 14.5171i | −0.419050 | − | 0.499404i | ||||
\(846\) | −35.3120 | + | 3.94339i | −1.21405 | + | 0.135576i | ||||
\(847\) | 12.0502 | + | 10.1114i | 0.414051 | + | 0.347430i | ||||
\(848\) | 9.80729 | − | 21.0130i | 0.336784 | − | 0.721590i | ||||
\(849\) | 0.0724319 | + | 0.0754958i | 0.00248586 | + | 0.00259101i | ||||
\(850\) | −12.5589 | + | 7.87162i | −0.430768 | + | 0.269994i | ||||
\(851\) | −28.7831 | − | 57.3119i | −0.986673 | − | 1.96463i | ||||
\(852\) | −18.8702 | + | 26.5892i | −0.646482 | + | 0.910932i | ||||
\(853\) | −7.95830 | + | 7.50827i | −0.272487 | + | 0.257078i | −0.810339 | − | 0.585961i | \(-0.800717\pi\) |
0.537852 | + | 0.843039i | \(0.319236\pi\) | |||||||
\(854\) | −5.05296 | + | 7.32790i | −0.172909 | + | 0.250756i | ||||
\(855\) | 6.96343 | + | 11.6073i | 0.238144 | + | 0.396963i | ||||
\(856\) | −29.3303 | − | 19.6088i | −1.00249 | − | 0.670214i | ||||
\(857\) | −36.1041 | − | 4.21997i | −1.23329 | − | 0.144151i | −0.525638 | − | 0.850708i | \(-0.676173\pi\) |
−0.707656 | + | 0.706557i | \(0.750247\pi\) | |||||||
\(858\) | −16.9743 | − | 7.59585i | −0.579492 | − | 0.259318i | ||||
\(859\) | 5.06604 | + | 4.77956i | 0.172851 | + | 0.163077i | 0.767806 | − | 0.640683i | \(-0.221349\pi\) |
−0.594955 | + | 0.803759i | \(0.702830\pi\) | |||||||
\(860\) | −33.5882 | + | 10.5840i | −1.14535 | + | 0.360912i | ||||
\(861\) | 16.5559 | + | 6.97757i | 0.564224 | + | 0.237795i | ||||
\(862\) | −0.582742 | − | 3.78830i | −0.0198483 | − | 0.129030i | ||||
\(863\) | 10.2217 | − | 17.7045i | 0.347950 | − | 0.602667i | −0.637935 | − | 0.770090i | \(-0.720211\pi\) |
0.985885 | + | 0.167423i | \(0.0535446\pi\) | |||||||
\(864\) | 16.9292 | + | 24.0292i | 0.575944 | + | 0.817489i | ||||
\(865\) | 18.5420 | + | 32.1156i | 0.630445 | + | 1.09196i | ||||
\(866\) | −38.7541 | + | 31.0980i | −1.31692 | + | 1.05675i | ||||
\(867\) | −36.3775 | + | 56.3319i | −1.23545 | + | 1.91313i | ||||
\(868\) | 4.96972 | − | 22.3988i | 0.168683 | − | 0.760265i | ||||
\(869\) | 2.77388 | − | 11.7039i | 0.0940974 | − | 0.397028i | ||||
\(870\) | 21.6463 | − | 6.16280i | 0.733879 | − | 0.208938i | ||||
\(871\) | 12.1898 | − | 16.3737i | 0.413035 | − | 0.554802i | ||||
\(872\) | −2.85820 | + | 43.4368i | −0.0967910 | + | 1.47096i | ||||
\(873\) | 15.2030 | + | 47.8481i | 0.514544 | + | 1.61941i | ||||
\(874\) | 8.66010 | + | 18.2285i | 0.292932 | + | 0.616587i | ||||
\(875\) | −22.3950 | − | 6.70463i | −0.757090 | − | 0.226658i | ||||
\(876\) | −1.30359 | + | 4.74460i | −0.0440442 | + | 0.160305i | ||||
\(877\) | −20.4512 | − | 1.19115i | −0.690587 | − | 0.0402221i | −0.290738 | − | 0.956803i | \(-0.593901\pi\) |
−0.399850 | + | 0.916581i | \(0.630938\pi\) | |||||||
\(878\) | 36.9300 | + | 19.5712i | 1.24633 | + | 0.660497i | ||||
\(879\) | 3.14329 | + | 7.12227i | 0.106021 | + | 0.240228i | ||||
\(880\) | 27.2121 | − | 19.0402i | 0.917320 | − | 0.641846i | ||||
\(881\) | 4.18253 | − | 23.7203i | 0.140913 | − | 0.799157i | −0.829645 | − | 0.558291i | \(-0.811457\pi\) |
0.970558 | − | 0.240866i | \(-0.0774316\pi\) | |||||||
\(882\) | −7.05066 | + | 12.0683i | −0.237408 | + | 0.406362i | ||||
\(883\) | 0.683072 | − | 0.120444i | 0.0229872 | − | 0.00405327i | −0.162143 | − | 0.986767i | \(-0.551841\pi\) |
0.185130 | + | 0.982714i | \(0.440729\pi\) | |||||||
\(884\) | 21.4194 | − | 14.5331i | 0.720413 | − | 0.488799i | ||||
\(885\) | −5.06357 | − | 13.5575i | −0.170210 | − | 0.455730i | ||||
\(886\) | −44.3411 | + | 17.9856i | −1.48967 | + | 0.604238i | ||||
\(887\) | −4.84056 | − | 6.50200i | −0.162530 | − | 0.218316i | 0.713396 | − | 0.700761i | \(-0.247156\pi\) |
−0.875926 | + | 0.482445i | \(0.839749\pi\) | |||||||
\(888\) | 52.2960 | − | 3.09052i | 1.75494 | − | 0.103711i | ||||
\(889\) | −28.6872 | − | 14.4073i | −0.962138 | − | 0.483204i | ||||
\(890\) | −1.52985 | − | 16.1487i | −0.0512807 | − | 0.541307i | ||||
\(891\) | 39.0158 | + | 5.53859i | 1.30708 | + | 0.185550i | ||||
\(892\) | −14.5170 | + | 2.77544i | −0.486064 | + | 0.0929286i | ||||
\(893\) | 8.94317 | − | 17.8073i | 0.299272 | − | 0.595899i | ||||
\(894\) | 4.84746 | − | 6.33072i | 0.162123 | − | 0.211731i | ||||
\(895\) | 14.3575 | + | 19.2855i | 0.479919 | + | 0.644643i | ||||
\(896\) | −17.7413 | − | 12.6318i | −0.592694 | − | 0.422000i | ||||
\(897\) | −13.8941 | − | 11.4615i | −0.463909 | − | 0.382688i | ||||
\(898\) | −4.42527 | − | 8.06784i | −0.147673 | − | 0.269227i | ||||
\(899\) | −28.4369 | + | 5.01420i | −0.948425 | + | 0.167233i | ||||
\(900\) | −7.62807 | + | 3.57602i | −0.254269 | + | 0.119201i | ||||
\(901\) | 42.6148 | + | 7.51414i | 1.41970 | + | 0.250332i | ||||
\(902\) | −10.7226 | − | 31.5968i | −0.357025 | − | 1.05206i | ||||
\(903\) | 30.7797 | + | 3.33644i | 1.02428 | + | 0.111030i | ||||
\(904\) | 17.3625 | + | 5.34075i | 0.577468 | + | 0.177631i | ||||
\(905\) | 0.708685 | − | 12.1677i | 0.0235575 | − | 0.404467i | ||||
\(906\) | 24.0969 | − | 3.91372i | 0.800565 | − | 0.130025i | ||||
\(907\) | 37.9098 | + | 11.3494i | 1.25877 | + | 0.376852i | 0.845608 | − | 0.533804i | \(-0.179238\pi\) |
0.413165 | + | 0.910656i | \(0.364423\pi\) | |||||||
\(908\) | 28.9696 | + | 48.5516i | 0.961389 | + | 1.61124i | ||||
\(909\) | 16.5608 | + | 0.686320i | 0.549286 | + | 0.0227638i | ||||
\(910\) | 8.66234 | + | 2.25447i | 0.287154 | + | 0.0747350i | ||||
\(911\) | 21.8285 | − | 29.3207i | 0.723210 | − | 0.971440i | −0.276735 | − | 0.960946i | \(-0.589252\pi\) |
0.999945 | − | 0.0104934i | \(-0.00334023\pi\) | |||||||
\(912\) | −16.4734 | + | 0.611869i | −0.545489 | + | 0.0202610i | ||||
\(913\) | 10.8787 | + | 2.57831i | 0.360034 | + | 0.0853296i | ||||
\(914\) | 4.70926 | − | 14.5614i | 0.155769 | − | 0.481649i | ||||
\(915\) | 10.7257 | + | 0.534565i | 0.354582 | + | 0.0176722i | ||||
\(916\) | 29.6907 | + | 30.5777i | 0.981009 | + | 1.01031i | ||||
\(917\) | 23.1230 | − | 13.3501i | 0.763588 | − | 0.440858i | ||||
\(918\) | −35.1213 | + | 42.1321i | −1.15918 | + | 1.39057i | ||||
\(919\) | 3.73476 | − | 6.46879i | 0.123198 | − | 0.213386i | −0.797829 | − | 0.602884i | \(-0.794018\pi\) |
0.921027 | + | 0.389498i | \(0.127352\pi\) | |||||||
\(920\) | 30.3093 | − | 10.7740i | 0.999269 | − | 0.355207i | ||||
\(921\) | 14.4700 | + | 19.1004i | 0.476803 | + | 0.629378i | ||||
\(922\) | 4.24887 | + | 19.8557i | 0.139929 | + | 0.653912i | ||||
\(923\) | 11.8705 | + | 11.1992i | 0.390722 | + | 0.368627i | ||||
\(924\) | −28.6314 | + | 5.72300i | −0.941904 | + | 0.188273i | ||||
\(925\) | −1.74312 | + | 14.9134i | −0.0573136 | + | 0.490349i | ||||
\(926\) | −5.73508 | + | 5.81811i | −0.188466 | + | 0.191195i | ||||
\(927\) | 16.8840 | − | 6.46772i | 0.554545 | − | 0.212428i | ||||
\(928\) | −6.13844 | + | 26.7136i | −0.201504 | + | 0.876915i | ||||
\(929\) | 7.74192 | + | 8.20596i | 0.254004 | + | 0.269229i | 0.841811 | − | 0.539773i | \(-0.181490\pi\) |
−0.587807 | + | 0.809002i | \(0.700008\pi\) | |||||||
\(930\) | −26.1371 | + | 9.11481i | −0.857071 | + | 0.298886i | ||||
\(931\) | −3.51797 | − | 7.00485i | −0.115297 | − | 0.229575i | ||||
\(932\) | 17.7710 | − | 13.6313i | 0.582107 | − | 0.446508i | ||||
\(933\) | 7.90192 | + | 2.29371i | 0.258697 | + | 0.0750927i | ||||
\(934\) | −0.515676 | + | 0.587914i | −0.0168734 | + | 0.0192371i | ||||
\(935\) | 47.4760 | + | 39.8371i | 1.55263 | + | 1.30281i | ||||
\(936\) | 13.0861 | − | 6.72403i | 0.427732 | − | 0.219782i | ||||
\(937\) | −19.7655 | + | 16.5852i | −0.645711 | + | 0.541816i | −0.905766 | − | 0.423778i | \(-0.860704\pi\) |
0.260055 | + | 0.965594i | \(0.416259\pi\) | |||||||
\(938\) | 0.701912 | − | 32.0424i | 0.0229182 | − | 1.04622i | ||||
\(939\) | 23.8519 | − | 14.0387i | 0.778379 | − | 0.458136i | ||||
\(940\) | −26.7850 | − | 17.0704i | −0.873631 | − | 0.556775i | ||||
\(941\) | 6.15261 | + | 52.6390i | 0.200569 | + | 1.71598i | 0.600659 | + | 0.799505i | \(0.294905\pi\) |
−0.400090 | + | 0.916476i | \(0.631021\pi\) | |||||||
\(942\) | −4.39938 | + | 0.980036i | −0.143340 | + | 0.0319313i | ||||
\(943\) | −1.87908 | − | 32.2625i | −0.0611911 | − | 1.05061i | ||||
\(944\) | 17.4381 | + | 2.56041i | 0.567563 | + | 0.0833343i | ||||
\(945\) | −18.9617 | + | 0.476763i | −0.616823 | + | 0.0155091i | ||||
\(946\) | −33.3174 | − | 46.8618i | −1.08324 | − | 1.52361i | ||||
\(947\) | −7.43132 | − | 11.2988i | −0.241485 | − | 0.367161i | 0.694327 | − | 0.719660i | \(-0.255702\pi\) |
−0.935812 | + | 0.352499i | \(0.885332\pi\) | |||||||
\(948\) | 5.85480 | + | 7.50182i | 0.190155 | + | 0.243648i | ||||
\(949\) | 2.26140 | + | 0.975474i | 0.0734082 | + | 0.0316652i | ||||
\(950\) | 0.651155 | − | 4.67968i | 0.0211263 | − | 0.151829i | ||||
\(951\) | 18.3265 | − | 15.6413i | 0.594278 | − | 0.507204i | ||||
\(952\) | 14.1871 | − | 38.0840i | 0.459805 | − | 1.23431i | ||||
\(953\) | −26.6952 | − | 9.71625i | −0.864742 | − | 0.314740i | −0.128706 | − | 0.991683i | \(-0.541082\pi\) |
−0.736036 | + | 0.676942i | \(0.763305\pi\) | |||||||
\(954\) | 23.5258 | + | 7.17521i | 0.761675 | + | 0.232306i | ||||
\(955\) | 12.3075 | + | 33.8145i | 0.398261 | + | 1.09421i | ||||
\(956\) | 4.05828 | − | 39.6560i | 0.131254 | − | 1.28257i | ||||
\(957\) | 20.4493 | + | 30.5313i | 0.661033 | + | 0.986938i | ||||
\(958\) | 1.59908 | + | 44.0625i | 0.0516641 | + | 1.42359i | ||||
\(959\) | −4.00984 | − | 2.63732i | −0.129485 | − | 0.0851633i | ||||
\(960\) | −1.70295 | + | 26.2204i | −0.0549625 | + | 0.846260i | ||||
\(961\) | 4.39254 | − | 1.04105i | 0.141695 | − | 0.0335823i | ||||
\(962\) | 2.09756 | − | 26.1374i | 0.0676281 | − | 0.842702i | ||||
\(963\) | 16.2320 | − | 33.7178i | 0.523068 | − | 1.08654i | ||||
\(964\) | −2.57234 | − | 6.76336i | −0.0828494 | − | 0.217833i | ||||
\(965\) | 31.6934 | − | 13.6712i | 1.02025 | − | 0.440091i | ||||
\(966\) | −28.2068 | − | 2.02591i | −0.907538 | − | 0.0651826i | ||||
\(967\) | 5.25004 | + | 17.5364i | 0.168830 | + | 0.563931i | 0.999969 | + | 0.00786660i | \(0.00250404\pi\) |
−0.831139 | + | 0.556064i | \(0.812311\pi\) | |||||||
\(968\) | 18.4351 | + | 13.9414i | 0.592527 | + | 0.448093i | ||||
\(969\) | −9.06917 | − | 29.3944i | −0.291344 | − | 0.944284i | ||||
\(970\) | −16.2696 | + | 41.8265i | −0.522384 | + | 1.34297i | ||||
\(971\) | − | 13.0315i | − | 0.418201i | −0.977894 | − | 0.209100i | \(-0.932946\pi\) | ||
0.977894 | − | 0.209100i | \(-0.0670536\pi\) | |||||||
\(972\) | −22.7180 | + | 21.3516i | −0.728681 | + | 0.684853i | ||||
\(973\) | 28.4814i | 0.913071i | ||||||||
\(974\) | −28.2406 | − | 10.9850i | −0.904888 | − | 0.351981i | ||||
\(975\) | 1.24320 | + | 4.02938i | 0.0398143 | + | 0.129044i | ||||
\(976\) | −6.86979 | + | 11.1291i | −0.219897 | + | 0.356234i | ||||
\(977\) | 10.3232 | + | 34.4819i | 0.330268 | + | 1.10317i | 0.948394 | + | 0.317094i | \(0.102707\pi\) |
−0.618126 | + | 0.786079i | \(0.712108\pi\) | |||||||
\(978\) | −0.411824 | + | 5.73383i | −0.0131687 | + | 0.183348i | ||||
\(979\) | 24.3185 | − | 10.4900i | 0.777222 | − | 0.335261i | ||||
\(980\) | −11.6781 | + | 4.44159i | −0.373044 | + | 0.141881i | ||||
\(981\) | −46.0417 | + | 3.45668i | −1.47000 | + | 0.110363i | ||||
\(982\) | −25.4084 | − | 2.03906i | −0.810815 | − | 0.0650691i | ||||
\(983\) | −17.0908 | + | 4.05059i | −0.545112 | + | 0.129194i | −0.493940 | − | 0.869496i | \(-0.664444\pi\) |
−0.0511719 | + | 0.998690i | \(0.516296\pi\) | |||||||
\(984\) | 24.8138 | + | 9.00758i | 0.791034 | + | 0.287151i | ||||
\(985\) | 15.3901 | + | 10.1222i | 0.490369 | + | 0.322521i | ||||
\(986\) | −51.1147 | + | 1.85502i | −1.62783 | + | 0.0590759i | ||||
\(987\) | 15.5391 | + | 23.2002i | 0.494614 | + | 0.738470i | ||||
\(988\) | −0.840009 | + | 8.20825i | −0.0267242 | + | 0.261139i | ||||
\(989\) | −19.0471 | − | 52.3315i | −0.605663 | − | 1.66405i | ||||
\(990\) | 24.0418 | + | 25.7468i | 0.764098 | + | 0.818288i | ||||
\(991\) | −8.74732 | − | 3.18377i | −0.277868 | − | 0.101136i | 0.199327 | − | 0.979933i | \(-0.436124\pi\) |
−0.477195 | + | 0.878797i | \(0.658347\pi\) | |||||||
\(992\) | 5.62656 | − | 33.2385i | 0.178643 | − | 1.05532i | ||||
\(993\) | 2.03737 | − | 1.73886i | 0.0646540 | − | 0.0551809i | ||||
\(994\) | 25.3788 | + | 3.53133i | 0.804965 | + | 0.112007i | ||||
\(995\) | −7.21393 | − | 3.11179i | −0.228697 | − | 0.0986502i | ||||
\(996\) | −6.97291 | + | 5.44201i | −0.220945 | + | 0.172437i | ||||
\(997\) | −22.4822 | − | 34.1825i | −0.712017 | − | 1.08257i | −0.992444 | − | 0.122695i | \(-0.960846\pi\) |
0.280427 | − | 0.959875i | \(-0.409524\pi\) | |||||||
\(998\) | −15.9418 | + | 11.3342i | −0.504630 | + | 0.358778i | ||||
\(999\) | 11.0212 | + | 54.4611i | 0.348694 | + | 1.72307i |
(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 | 648.2.bd.a.13.14 | ✓ | 1908 | |
8.5 | even | 2 | inner | 648.2.bd.a.13.20 | yes | 1908 | |
81.25 | even | 27 | inner | 648.2.bd.a.349.20 | yes | 1908 | |
648.349 | even | 54 | inner | 648.2.bd.a.349.14 | yes | 1908 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
648.2.bd.a.13.14 | ✓ | 1908 | 1.1 | even | 1 | trivial | |
648.2.bd.a.13.20 | yes | 1908 | 8.5 | even | 2 | inner | |
648.2.bd.a.349.14 | yes | 1908 | 648.349 | even | 54 | inner | |
648.2.bd.a.349.20 | yes | 1908 | 81.25 | even | 27 | inner |