Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [95,2,Mod(4,95)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(95, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("95.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 95 = 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 95.p (of order \(18\), degree \(6\), 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: | \(0.758578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 24.7 | ||
Character | \(\chi\) | \(=\) | 95.24 |
Dual form | 95.2.p.a.4.7 |
$q$-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 \(\left(\mathbb{Z}/95\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.795068 | + | 2.18443i | 0.562198 | + | 1.54463i | 0.816407 | + | 0.577477i | \(0.195963\pi\) |
−0.254209 | + | 0.967149i | \(0.581815\pi\) | |||||||
\(3\) | 1.13113 | + | 0.199449i | 0.653058 | + | 0.115152i | 0.490354 | − | 0.871523i | \(-0.336867\pi\) |
0.162704 | + | 0.986675i | \(0.447978\pi\) | |||||||
\(4\) | −2.60752 | + | 2.18797i | −1.30376 | + | 1.09398i | ||||
\(5\) | −0.914172 | − | 2.04066i | −0.408830 | − | 0.912610i | ||||
\(6\) | 0.463643 | + | 2.62945i | 0.189282 | + | 1.07347i | ||||
\(7\) | 0.124103 | − | 0.0716510i | 0.0469066 | − | 0.0270816i | −0.476363 | − | 0.879249i | \(-0.658045\pi\) |
0.523270 | + | 0.852167i | \(0.324712\pi\) | |||||||
\(8\) | −2.82626 | − | 1.63174i | −0.999232 | − | 0.576907i | ||||
\(9\) | −1.57940 | − | 0.574856i | −0.526468 | − | 0.191619i | ||||
\(10\) | 3.73085 | − | 3.61941i | 1.17980 | − | 1.14456i | ||||
\(11\) | 1.40779 | − | 2.43836i | 0.424463 | − | 0.735192i | −0.571907 | − | 0.820319i | \(-0.693796\pi\) |
0.996370 | + | 0.0851264i | \(0.0271294\pi\) | |||||||
\(12\) | −3.38583 | + | 1.95481i | −0.977405 | + | 0.564305i | ||||
\(13\) | −1.68258 | + | 0.296685i | −0.466665 | + | 0.0822856i | −0.402036 | − | 0.915624i | \(-0.631697\pi\) |
−0.0646286 | + | 0.997909i | \(0.520586\pi\) | |||||||
\(14\) | 0.255187 | + | 0.214128i | 0.0682017 | + | 0.0572280i | ||||
\(15\) | −0.627041 | − | 2.49058i | −0.161901 | − | 0.643065i | ||||
\(16\) | 0.135204 | − | 0.766781i | 0.0338011 | − | 0.191695i | ||||
\(17\) | 1.21720 | + | 3.34424i | 0.295215 | + | 0.811097i | 0.995282 | + | 0.0970200i | \(0.0309311\pi\) |
−0.700067 | + | 0.714077i | \(0.746847\pi\) | |||||||
\(18\) | − | 3.90715i | − | 0.920923i | ||||||
\(19\) | −2.82087 | − | 3.32305i | −0.647153 | − | 0.762360i | ||||
\(20\) | 6.84862 | + | 3.32088i | 1.53140 | + | 0.742571i | ||||
\(21\) | 0.154668 | − | 0.0562944i | 0.0337512 | − | 0.0122844i | ||||
\(22\) | 6.44571 | + | 1.13655i | 1.37423 | + | 0.242314i | ||||
\(23\) | 4.62417 | + | 5.51088i | 0.964207 | + | 1.14910i | 0.988777 | + | 0.149399i | \(0.0477339\pi\) |
−0.0245699 | + | 0.999698i | \(0.507822\pi\) | |||||||
\(24\) | −2.87141 | − | 2.40940i | −0.586125 | − | 0.491817i | ||||
\(25\) | −3.32858 | + | 3.73103i | −0.665716 | + | 0.746206i | ||||
\(26\) | −1.98586 | − | 3.43960i | −0.389459 | − | 0.674562i | ||||
\(27\) | −4.65595 | − | 2.68812i | −0.896038 | − | 0.517328i | ||||
\(28\) | −0.166831 | + | 0.458365i | −0.0315282 | + | 0.0866229i | ||||
\(29\) | 7.11492 | + | 2.58962i | 1.32121 | + | 0.480880i | 0.903845 | − | 0.427860i | \(-0.140732\pi\) |
0.417363 | + | 0.908740i | \(0.362954\pi\) | |||||||
\(30\) | 4.94196 | − | 3.34991i | 0.902275 | − | 0.611607i | ||||
\(31\) | −2.42343 | − | 4.19751i | −0.435261 | − | 0.753894i | 0.562056 | − | 0.827099i | \(-0.310011\pi\) |
−0.997317 | + | 0.0732050i | \(0.976677\pi\) | |||||||
\(32\) | −4.64532 | + | 0.819095i | −0.821184 | + | 0.144797i | ||||
\(33\) | 2.07872 | − | 2.47732i | 0.361858 | − | 0.431246i | ||||
\(34\) | −6.33750 | + | 5.31779i | −1.08687 | + | 0.911994i | ||||
\(35\) | −0.259667 | − | 0.187751i | −0.0438918 | − | 0.0317357i | ||||
\(36\) | 5.37609 | − | 1.95674i | 0.896015 | − | 0.326123i | ||||
\(37\) | − | 9.49127i | − | 1.56035i | −0.625559 | − | 0.780177i | \(-0.715129\pi\) | ||
0.625559 | − | 0.780177i | \(-0.284871\pi\) | |||||||
\(38\) | 5.01619 | − | 8.80406i | 0.813734 | − | 1.42821i | ||||
\(39\) | −1.96239 | −0.314235 | ||||||||
\(40\) | −0.746138 | + | 7.25911i | −0.117975 | + | 1.14777i | ||||
\(41\) | −0.0325278 | + | 0.184474i | −0.00507999 | + | 0.0288100i | −0.987242 | − | 0.159225i | \(-0.949101\pi\) |
0.982162 | + | 0.188035i | \(0.0602117\pi\) | |||||||
\(42\) | 0.245943 | + | 0.293103i | 0.0379498 | + | 0.0452268i | ||||
\(43\) | −7.06701 | + | 8.42213i | −1.07771 | + | 1.28436i | −0.121210 | + | 0.992627i | \(0.538677\pi\) |
−0.956499 | + | 0.291736i | \(0.905767\pi\) | |||||||
\(44\) | 1.66422 | + | 9.43825i | 0.250890 | + | 1.42287i | ||||
\(45\) | 0.270762 | + | 3.74854i | 0.0403629 | + | 0.558799i | ||||
\(46\) | −8.36160 | + | 14.4827i | −1.23285 | + | 2.13536i | ||||
\(47\) | 1.25532 | − | 3.44897i | 0.183108 | − | 0.503084i | −0.813846 | − | 0.581080i | \(-0.802630\pi\) |
0.996954 | + | 0.0779967i | \(0.0248524\pi\) | |||||||
\(48\) | 0.305867 | − | 0.840363i | 0.0441481 | − | 0.121296i | ||||
\(49\) | −3.48973 | + | 6.04439i | −0.498533 | + | 0.863485i | ||||
\(50\) | −10.7966 | − | 4.30463i | −1.52687 | − | 0.608766i | ||||
\(51\) | 0.709811 | + | 4.02554i | 0.0993934 | + | 0.563688i | ||||
\(52\) | 3.73823 | − | 4.45505i | 0.518399 | − | 0.617804i | ||||
\(53\) | 1.05624 | + | 1.25878i | 0.145086 | + | 0.172907i | 0.833693 | − | 0.552228i | \(-0.186222\pi\) |
−0.688607 | + | 0.725134i | \(0.741778\pi\) | |||||||
\(54\) | 2.17020 | − | 12.3078i | 0.295327 | − | 1.67489i | ||||
\(55\) | −6.26281 | − | 0.643732i | −0.844478 | − | 0.0868009i | ||||
\(56\) | −0.467663 | −0.0624941 | ||||||||
\(57\) | −2.52800 | − | 4.32142i | −0.334841 | − | 0.572386i | ||||
\(58\) | 17.6010i | 2.31112i | ||||||||
\(59\) | −5.04274 | + | 1.83541i | −0.656509 | + | 0.238950i | −0.648728 | − | 0.761020i | \(-0.724699\pi\) |
−0.00778043 | + | 0.999970i | \(0.502477\pi\) | |||||||
\(60\) | 7.08433 | + | 5.12229i | 0.914583 | + | 0.661285i | ||||
\(61\) | 7.74681 | − | 6.50035i | 0.991878 | − | 0.832284i | 0.00603938 | − | 0.999982i | \(-0.498078\pi\) |
0.985839 | + | 0.167697i | \(0.0536331\pi\) | |||||||
\(62\) | 7.24237 | − | 8.63112i | 0.919782 | − | 1.09615i | ||||
\(63\) | −0.237198 | + | 0.0418244i | −0.0298841 | + | 0.00526938i | ||||
\(64\) | −6.26121 | − | 10.8447i | −0.782652 | − | 1.35559i | ||||
\(65\) | 2.14360 | + | 3.16236i | 0.265881 | + | 0.392242i | ||||
\(66\) | 7.06425 | + | 2.57118i | 0.869549 | + | 0.316490i | ||||
\(67\) | −2.05488 | + | 5.64572i | −0.251043 | + | 0.689735i | 0.748600 | + | 0.663022i | \(0.230726\pi\) |
−0.999643 | + | 0.0267132i | \(0.991496\pi\) | |||||||
\(68\) | −10.4910 | − | 6.05696i | −1.27222 | − | 0.734514i | ||||
\(69\) | 4.13141 | + | 7.15580i | 0.497363 | + | 0.861457i | ||||
\(70\) | 0.203676 | − | 0.716500i | 0.0243440 | − | 0.0856381i | ||||
\(71\) | 0.414414 | + | 0.347735i | 0.0491819 | + | 0.0412685i | 0.667047 | − | 0.745015i | \(-0.267558\pi\) |
−0.617865 | + | 0.786284i | \(0.712002\pi\) | |||||||
\(72\) | 3.52578 | + | 4.20186i | 0.415517 | + | 0.495194i | ||||
\(73\) | 10.3084 | + | 1.81765i | 1.20651 | + | 0.212740i | 0.740509 | − | 0.672047i | \(-0.234585\pi\) |
0.465997 | + | 0.884786i | \(0.345696\pi\) | |||||||
\(74\) | 20.7330 | − | 7.54620i | 2.41016 | − | 0.877228i | ||||
\(75\) | −4.50920 | + | 3.55640i | −0.520678 | + | 0.410657i | ||||
\(76\) | 14.6262 | + | 2.49294i | 1.67774 | + | 0.285960i | ||||
\(77\) | − | 0.403477i | − | 0.0459805i | ||||||
\(78\) | −1.56024 | − | 4.28672i | −0.176662 | − | 0.485375i | ||||
\(79\) | 2.01585 | − | 11.4325i | 0.226801 | − | 1.28625i | −0.632411 | − | 0.774633i | \(-0.717935\pi\) |
0.859212 | − | 0.511620i | \(-0.170954\pi\) | |||||||
\(80\) | −1.68834 | + | 0.425065i | −0.188762 | + | 0.0475237i | ||||
\(81\) | −0.867724 | − | 0.728107i | −0.0964137 | − | 0.0809007i | ||||
\(82\) | −0.428833 | + | 0.0756149i | −0.0473567 | + | 0.00835027i | ||||
\(83\) | 6.57815 | − | 3.79789i | 0.722045 | − | 0.416873i | −0.0934597 | − | 0.995623i | \(-0.529793\pi\) |
0.815505 | + | 0.578750i | \(0.196459\pi\) | |||||||
\(84\) | −0.280128 | + | 0.485197i | −0.0305645 | + | 0.0529393i | ||||
\(85\) | 5.71172 | − | 5.54111i | 0.619523 | − | 0.601017i | ||||
\(86\) | −24.0163 | − | 8.74123i | −2.58975 | − | 0.942591i | ||||
\(87\) | 7.53141 | + | 4.34826i | 0.807452 | + | 0.466182i | ||||
\(88\) | −7.95753 | + | 4.59428i | −0.848275 | + | 0.489752i | ||||
\(89\) | −0.251241 | − | 1.42486i | −0.0266315 | − | 0.151035i | 0.968592 | − | 0.248654i | \(-0.0799883\pi\) |
−0.995224 | + | 0.0976195i | \(0.968877\pi\) | |||||||
\(90\) | −7.97315 | + | 3.57181i | −0.840444 | + | 0.376501i | ||||
\(91\) | −0.187556 | + | 0.157378i | −0.0196612 | + | 0.0164977i | ||||
\(92\) | −24.1152 | − | 4.25217i | −2.51419 | − | 0.443319i | ||||
\(93\) | −1.90403 | − | 5.23127i | −0.197439 | − | 0.542458i | ||||
\(94\) | 8.53210 | 0.880019 | ||||||||
\(95\) | −4.20245 | + | 8.79428i | −0.431162 | + | 0.902274i | ||||
\(96\) | −5.41783 | −0.552955 | ||||||||
\(97\) | 3.01050 | + | 8.27128i | 0.305670 | + | 0.839822i | 0.993488 | + | 0.113938i | \(0.0363466\pi\) |
−0.687818 | + | 0.725883i | \(0.741431\pi\) | |||||||
\(98\) | −15.9781 | − | 2.81738i | −1.61404 | − | 0.284598i | ||||
\(99\) | −3.62516 | + | 3.04187i | −0.364343 | + | 0.305720i | ||||
\(100\) | 0.515958 | − | 17.0115i | 0.0515958 | − | 1.70115i | ||||
\(101\) | −0.499751 | − | 2.83423i | −0.0497270 | − | 0.282016i | 0.949797 | − | 0.312867i | \(-0.101289\pi\) |
−0.999524 | + | 0.0308509i | \(0.990178\pi\) | |||||||
\(102\) | −8.22916 | + | 4.75111i | −0.814808 | + | 0.470430i | ||||
\(103\) | −1.03894 | − | 0.599832i | −0.102370 | − | 0.0591032i | 0.447941 | − | 0.894063i | \(-0.352157\pi\) |
−0.550311 | + | 0.834960i | \(0.685491\pi\) | |||||||
\(104\) | 5.23952 | + | 1.90703i | 0.513778 | + | 0.187000i | ||||
\(105\) | −0.256271 | − | 0.264161i | −0.0250094 | − | 0.0257795i | ||||
\(106\) | −1.90994 | + | 3.30811i | −0.185509 | + | 0.321312i | ||||
\(107\) | 3.54668 | − | 2.04768i | 0.342871 | − | 0.197957i | −0.318670 | − | 0.947866i | \(-0.603236\pi\) |
0.661541 | + | 0.749909i | \(0.269903\pi\) | |||||||
\(108\) | 18.0220 | − | 3.17776i | 1.73417 | − | 0.305780i | ||||
\(109\) | 12.4054 | + | 10.4093i | 1.18822 | + | 0.997034i | 0.999889 | + | 0.0149287i | \(0.00475214\pi\) |
0.188331 | + | 0.982106i | \(0.439692\pi\) | |||||||
\(110\) | −3.57317 | − | 14.1925i | −0.340689 | − | 1.35320i | ||||
\(111\) | 1.89302 | − | 10.7359i | 0.179678 | − | 1.01900i | ||||
\(112\) | −0.0381614 | − | 0.104848i | −0.00360591 | − | 0.00990716i | ||||
\(113\) | 3.11845i | 0.293359i | 0.989184 | + | 0.146680i | \(0.0468586\pi\) | ||||
−0.989184 | + | 0.146680i | \(0.953141\pi\) | |||||||
\(114\) | 7.42992 | − | 8.95806i | 0.695876 | − | 0.838999i | ||||
\(115\) | 7.01853 | − | 14.4743i | 0.654481 | − | 1.34973i | ||||
\(116\) | −24.2183 | + | 8.81474i | −2.24861 | + | 0.818428i | ||||
\(117\) | 2.82803 | + | 0.498658i | 0.261451 | + | 0.0461009i | ||||
\(118\) | −8.01864 | − | 9.55625i | −0.738176 | − | 0.879724i | ||||
\(119\) | 0.390677 | + | 0.327817i | 0.0358133 | + | 0.0300509i | ||||
\(120\) | −2.29180 | + | 8.06218i | −0.209212 | + | 0.735973i | ||||
\(121\) | 1.53628 | + | 2.66091i | 0.139661 | + | 0.241901i | ||||
\(122\) | 20.3588 | + | 11.7542i | 1.84320 | + | 1.06417i | ||||
\(123\) | −0.0735863 | + | 0.202177i | −0.00663506 | + | 0.0182297i | ||||
\(124\) | 15.5031 | + | 5.64268i | 1.39222 | + | 0.506728i | ||||
\(125\) | 10.6566 | + | 3.38169i | 0.953160 | + | 0.302467i | ||||
\(126\) | −0.279951 | − | 0.484890i | −0.0249400 | − | 0.0431974i | ||||
\(127\) | −8.03622 | + | 1.41700i | −0.713099 | + | 0.125739i | −0.518417 | − | 0.855128i | \(-0.673479\pi\) |
−0.194682 | + | 0.980866i | \(0.562367\pi\) | |||||||
\(128\) | 12.6475 | − | 15.0727i | 1.11789 | − | 1.33225i | ||||
\(129\) | −9.67349 | + | 8.11702i | −0.851703 | + | 0.714664i | ||||
\(130\) | −5.20364 | + | 7.19685i | −0.456390 | + | 0.631205i | ||||
\(131\) | −2.46196 | + | 0.896079i | −0.215102 | + | 0.0782908i | −0.447324 | − | 0.894372i | \(-0.647623\pi\) |
0.232222 | + | 0.972663i | \(0.425401\pi\) | |||||||
\(132\) | 11.0078i | 0.958108i | ||||||||
\(133\) | −0.588180 | − | 0.210283i | −0.0510017 | − | 0.0182338i | ||||
\(134\) | −13.9665 | −1.20652 | ||||||||
\(135\) | −1.22918 | + | 11.9586i | −0.105791 | + | 1.02923i | ||||
\(136\) | 2.01680 | − | 11.4378i | 0.172939 | − | 0.980786i | ||||
\(137\) | 7.91946 | + | 9.43805i | 0.676605 | + | 0.806347i | 0.989667 | − | 0.143386i | \(-0.0457991\pi\) |
−0.313062 | + | 0.949733i | \(0.601355\pi\) | |||||||
\(138\) | −12.3466 | + | 14.7141i | −1.05101 | + | 1.25255i | ||||
\(139\) | −1.38116 | − | 7.83292i | −0.117148 | − | 0.664380i | −0.985664 | − | 0.168719i | \(-0.946037\pi\) |
0.868516 | − | 0.495661i | \(-0.165074\pi\) | |||||||
\(140\) | 1.08788 | − | 0.0785791i | 0.0919426 | − | 0.00664115i | ||||
\(141\) | 2.10782 | − | 3.65086i | 0.177511 | − | 0.307458i | ||||
\(142\) | −0.430115 | + | 1.18173i | −0.0360945 | + | 0.0991687i | ||||
\(143\) | −1.64529 | + | 4.52041i | −0.137586 | + | 0.378016i | ||||
\(144\) | −0.654330 | + | 1.13333i | −0.0545275 | + | 0.0944445i | ||||
\(145\) | −1.21974 | − | 16.8865i | −0.101293 | − | 1.40235i | ||||
\(146\) | 4.22535 | + | 23.9631i | 0.349692 | + | 1.98320i | ||||
\(147\) | −5.15289 | + | 6.14097i | −0.425003 | + | 0.506499i | ||||
\(148\) | 20.7666 | + | 24.7487i | 1.70700 | + | 2.03433i | ||||
\(149\) | 0.728662 | − | 4.13245i | 0.0596943 | − | 0.338543i | −0.940304 | − | 0.340335i | \(-0.889459\pi\) |
0.999998 | + | 0.00179219i | \(0.000570472\pi\) | |||||||
\(150\) | −11.3538 | − | 7.02247i | −0.927036 | − | 0.573382i | ||||
\(151\) | −2.86140 | −0.232857 | −0.116429 | − | 0.993199i | \(-0.537145\pi\) | ||||
−0.116429 | + | 0.993199i | \(0.537145\pi\) | |||||||
\(152\) | 2.55015 | + | 13.9947i | 0.206845 | + | 1.13512i | ||||
\(153\) | − | 5.98161i | − | 0.483585i | ||||||
\(154\) | 0.881369 | − | 0.320792i | 0.0710227 | − | 0.0258502i | ||||
\(155\) | −6.35024 | + | 8.78264i | −0.510064 | + | 0.705439i | ||||
\(156\) | 5.11698 | − | 4.29366i | 0.409686 | − | 0.343768i | ||||
\(157\) | −7.40771 | + | 8.82817i | −0.591200 | + | 0.704565i | −0.975836 | − | 0.218504i | \(-0.929882\pi\) |
0.384636 | + | 0.923068i | \(0.374327\pi\) | |||||||
\(158\) | 26.5762 | − | 4.68610i | 2.11429 | − | 0.372806i | ||||
\(159\) | 0.943685 | + | 1.63451i | 0.0748391 | + | 0.129625i | ||||
\(160\) | 5.91812 | + | 8.73072i | 0.467868 | + | 0.690224i | ||||
\(161\) | 0.968735 | + | 0.352591i | 0.0763470 | + | 0.0277880i | ||||
\(162\) | 0.900600 | − | 2.47438i | 0.0707578 | − | 0.194405i | ||||
\(163\) | −16.3847 | − | 9.45974i | −1.28335 | − | 0.740944i | −0.305892 | − | 0.952066i | \(-0.598955\pi\) |
−0.977460 | + | 0.211122i | \(0.932288\pi\) | |||||||
\(164\) | −0.318807 | − | 0.552190i | −0.0248946 | − | 0.0431188i | ||||
\(165\) | −6.95567 | − | 1.97726i | −0.541498 | − | 0.153929i | ||||
\(166\) | 13.5263 | + | 11.3499i | 1.04985 | + | 0.880925i | ||||
\(167\) | −9.68614 | − | 11.5435i | −0.749536 | − | 0.893262i | 0.247602 | − | 0.968862i | \(-0.420357\pi\) |
−0.997138 | + | 0.0755996i | \(0.975913\pi\) | |||||||
\(168\) | −0.528988 | − | 0.0932748i | −0.0408123 | − | 0.00719631i | ||||
\(169\) | −9.47294 | + | 3.44787i | −0.728688 | + | 0.265221i | ||||
\(170\) | 16.6454 | + | 8.07129i | 1.27664 | + | 0.619040i | ||||
\(171\) | 2.54502 | + | 6.87003i | 0.194623 | + | 0.525364i | ||||
\(172\) | − | 37.4233i | − | 2.85350i | ||||||
\(173\) | −7.42012 | − | 20.3866i | −0.564141 | − | 1.54997i | −0.813506 | − | 0.581556i | \(-0.802444\pi\) |
0.249365 | − | 0.968410i | \(-0.419778\pi\) | |||||||
\(174\) | −3.51049 | + | 19.9090i | −0.266130 | + | 1.50930i | ||||
\(175\) | −0.145755 | + | 0.701529i | −0.0110181 | + | 0.0530306i | ||||
\(176\) | −1.67935 | − | 1.40914i | −0.126586 | − | 0.106218i | ||||
\(177\) | −6.07006 | + | 1.07032i | −0.456254 | + | 0.0804499i | ||||
\(178\) | 2.91275 | − | 1.68168i | 0.218320 | − | 0.126047i | ||||
\(179\) | 11.4395 | − | 19.8138i | 0.855028 | − | 1.48095i | −0.0215906 | − | 0.999767i | \(-0.506873\pi\) |
0.876619 | − | 0.481185i | \(-0.159794\pi\) | |||||||
\(180\) | −8.90770 | − | 9.18197i | −0.663941 | − | 0.684383i | ||||
\(181\) | 10.8685 | + | 3.95580i | 0.807847 | + | 0.294032i | 0.712734 | − | 0.701434i | \(-0.247457\pi\) |
0.0951131 | + | 0.995466i | \(0.469679\pi\) | |||||||
\(182\) | −0.492903 | − | 0.284577i | −0.0365364 | − | 0.0210943i | ||||
\(183\) | 10.0591 | − | 5.80765i | 0.743593 | − | 0.429314i | ||||
\(184\) | −4.07678 | − | 23.1206i | −0.300544 | − | 1.70447i | ||||
\(185\) | −19.3684 | + | 8.67665i | −1.42400 | + | 0.637920i | ||||
\(186\) | 9.91353 | − | 8.31844i | 0.726895 | − | 0.609937i | ||||
\(187\) | 9.86801 | + | 1.74000i | 0.721620 | + | 0.127241i | ||||
\(188\) | 4.27296 | + | 11.7399i | 0.311637 | + | 0.856217i | ||||
\(189\) | −0.770425 | −0.0560402 | ||||||||
\(190\) | −22.5517 | − | 2.18791i | −1.63608 | − | 0.158728i | ||||
\(191\) | 7.28958 | 0.527455 | 0.263728 | − | 0.964597i | \(-0.415048\pi\) | ||||
0.263728 | + | 0.964597i | \(0.415048\pi\) | |||||||
\(192\) | −4.91928 | − | 13.5156i | −0.355018 | − | 0.975404i | ||||
\(193\) | −25.7884 | − | 4.54719i | −1.85629 | − | 0.327314i | −0.870094 | − | 0.492887i | \(-0.835942\pi\) |
−0.986198 | + | 0.165572i | \(0.947053\pi\) | |||||||
\(194\) | −15.6745 | + | 13.1525i | −1.12536 | + | 0.944292i | ||||
\(195\) | 1.79397 | + | 4.00458i | 0.128469 | + | 0.286774i | ||||
\(196\) | −4.12540 | − | 23.3963i | −0.294671 | − | 1.67116i | ||||
\(197\) | 1.98164 | − | 1.14410i | 0.141186 | − | 0.0815136i | −0.427743 | − | 0.903900i | \(-0.640691\pi\) |
0.568929 | + | 0.822387i | \(0.307358\pi\) | |||||||
\(198\) | −9.52702 | − | 5.50043i | −0.677056 | − | 0.390898i | ||||
\(199\) | −11.5083 | − | 4.18868i | −0.815802 | − | 0.296928i | −0.0997838 | − | 0.995009i | \(-0.531815\pi\) |
−0.716018 | + | 0.698081i | \(0.754037\pi\) | |||||||
\(200\) | 15.4955 | − | 5.11347i | 1.09570 | − | 0.361577i | ||||
\(201\) | −3.45036 | + | 5.97621i | −0.243370 | + | 0.421529i | ||||
\(202\) | 5.79384 | − | 3.34507i | 0.407653 | − | 0.235359i | ||||
\(203\) | 1.06853 | − | 0.188411i | 0.0749964 | − | 0.0132239i | ||||
\(204\) | −10.6586 | − | 8.94362i | −0.746251 | − | 0.626179i | ||||
\(205\) | 0.406185 | − | 0.102263i | 0.0283692 | − | 0.00714237i | ||||
\(206\) | 0.484264 | − | 2.74640i | 0.0337403 | − | 0.191351i | ||||
\(207\) | −4.13548 | − | 11.3621i | −0.287435 | − | 0.789722i | ||||
\(208\) | 1.33029i | 0.0922388i | ||||||||
\(209\) | −12.0740 | + | 2.20015i | −0.835174 | + | 0.152188i | ||||
\(210\) | 0.373289 | − | 0.769832i | 0.0257594 | − | 0.0531234i | ||||
\(211\) | −2.82198 | + | 1.02712i | −0.194273 | + | 0.0707097i | −0.437325 | − | 0.899304i | \(-0.644074\pi\) |
0.243051 | + | 0.970013i | \(0.421852\pi\) | |||||||
\(212\) | −5.50834 | − | 0.971270i | −0.378315 | − | 0.0667071i | ||||
\(213\) | 0.399401 | + | 0.475987i | 0.0273665 | + | 0.0326141i | ||||
\(214\) | 7.29287 | + | 6.11944i | 0.498530 | + | 0.418316i | ||||
\(215\) | 23.6472 | + | 6.72207i | 1.61272 | + | 0.458441i | ||||
\(216\) | 8.77261 | + | 15.1946i | 0.596900 | + | 1.03386i | ||||
\(217\) | −0.601511 | − | 0.347283i | −0.0408332 | − | 0.0235751i | ||||
\(218\) | −12.8754 | + | 35.3748i | −0.872031 | + | 2.39589i | ||||
\(219\) | 11.2976 | + | 4.11199i | 0.763421 | + | 0.277863i | ||||
\(220\) | 17.7389 | − | 12.0243i | 1.19595 | − | 0.810678i | ||||
\(221\) | −3.04023 | − | 5.26583i | −0.204508 | − | 0.354218i | ||||
\(222\) | 24.9568 | − | 4.40056i | 1.67499 | − | 0.295346i | ||||
\(223\) | −1.41004 | + | 1.68042i | −0.0944233 | + | 0.112529i | −0.811187 | − | 0.584787i | \(-0.801178\pi\) |
0.716764 | + | 0.697316i | \(0.245623\pi\) | |||||||
\(224\) | −0.517810 | + | 0.434494i | −0.0345977 | + | 0.0290309i | ||||
\(225\) | 7.40197 | − | 3.97934i | 0.493464 | − | 0.265290i | ||||
\(226\) | −6.81204 | + | 2.47938i | −0.453130 | + | 0.164926i | ||||
\(227\) | 6.44357i | 0.427675i | 0.976869 | + | 0.213838i | \(0.0685963\pi\) | ||||
−0.976869 | + | 0.213838i | \(0.931404\pi\) | |||||||
\(228\) | 16.0469 | + | 5.73702i | 1.06273 | + | 0.379943i | ||||
\(229\) | 1.54321 | 0.101978 | 0.0509892 | − | 0.998699i | \(-0.483763\pi\) | ||||
0.0509892 | + | 0.998699i | \(0.483763\pi\) | |||||||
\(230\) | 37.1982 | + | 3.82347i | 2.45278 | + | 0.252112i | ||||
\(231\) | 0.0804731 | − | 0.456385i | 0.00529474 | − | 0.0300280i | ||||
\(232\) | −15.8830 | − | 18.9286i | −1.04277 | − | 1.24273i | ||||
\(233\) | −13.1522 | + | 15.6742i | −0.861629 | + | 1.02685i | 0.137710 | + | 0.990473i | \(0.456026\pi\) |
−0.999338 | + | 0.0363763i | \(0.988419\pi\) | |||||||
\(234\) | 1.15919 | + | 6.57410i | 0.0757787 | + | 0.429762i | ||||
\(235\) | −8.18575 | + | 0.591268i | −0.533979 | + | 0.0385701i | ||||
\(236\) | 9.13323 | − | 15.8192i | 0.594522 | − | 1.02974i | ||||
\(237\) | 4.56038 | − | 12.5295i | 0.296229 | − | 0.813881i | ||||
\(238\) | −0.405479 | + | 1.11404i | −0.0262833 | + | 0.0722127i | ||||
\(239\) | 3.12033 | − | 5.40457i | 0.201837 | − | 0.349592i | −0.747283 | − | 0.664506i | \(-0.768642\pi\) |
0.949120 | + | 0.314913i | \(0.101975\pi\) | |||||||
\(240\) | −1.99451 | + | 0.144066i | −0.128745 | + | 0.00929943i | ||||
\(241\) | −4.56951 | − | 25.9150i | −0.294348 | − | 1.66933i | −0.669839 | − | 0.742506i | \(-0.733637\pi\) |
0.375491 | − | 0.926826i | \(-0.377474\pi\) | |||||||
\(242\) | −4.59113 | + | 5.47149i | −0.295129 | + | 0.351721i | ||||
\(243\) | 9.53104 | + | 11.3586i | 0.611416 | + | 0.728657i | ||||
\(244\) | −5.97741 | + | 33.8996i | −0.382664 | + | 2.17020i | ||||
\(245\) | 15.5248 | + | 1.59574i | 0.991841 | + | 0.101948i | ||||
\(246\) | −0.500147 | −0.0318882 | ||||||||
\(247\) | 5.73226 | + | 4.75440i | 0.364735 | + | 0.302515i | ||||
\(248\) | 15.8176i | 1.00442i | ||||||||
\(249\) | 8.19822 | − | 2.98391i | 0.519541 | − | 0.189098i | ||||
\(250\) | 1.08570 | + | 25.9674i | 0.0686654 | + | 1.64232i | ||||
\(251\) | −8.20154 | + | 6.88191i | −0.517677 | + | 0.434382i | −0.863821 | − | 0.503799i | \(-0.831935\pi\) |
0.346144 | + | 0.938181i | \(0.387491\pi\) | |||||||
\(252\) | 0.526988 | − | 0.628040i | 0.0331971 | − | 0.0395628i | ||||
\(253\) | 19.9473 | − | 3.51725i | 1.25408 | − | 0.221128i | ||||
\(254\) | −9.48469 | − | 16.4280i | −0.595122 | − | 1.03078i | ||||
\(255\) | 7.56586 | − | 5.12852i | 0.473792 | − | 0.321160i | ||||
\(256\) | 19.4463 | + | 7.07788i | 1.21540 | + | 0.442368i | ||||
\(257\) | 4.62548 | − | 12.7084i | 0.288529 | − | 0.792728i | −0.707744 | − | 0.706469i | \(-0.750287\pi\) |
0.996273 | − | 0.0862582i | \(-0.0274910\pi\) | |||||||
\(258\) | −25.4222 | − | 14.6775i | −1.58271 | − | 0.913781i | ||||
\(259\) | −0.680059 | − | 1.17790i | −0.0422568 | − | 0.0731910i | ||||
\(260\) | −12.5086 | − | 3.55577i | −0.775752 | − | 0.220520i | ||||
\(261\) | −9.74867 | − | 8.18011i | −0.603428 | − | 0.506336i | ||||
\(262\) | −3.91485 | − | 4.66553i | −0.241860 | − | 0.288238i | ||||
\(263\) | −6.44120 | − | 1.13576i | −0.397181 | − | 0.0700337i | −0.0285097 | − | 0.999594i | \(-0.509076\pi\) |
−0.368671 | + | 0.929560i | \(0.620187\pi\) | |||||||
\(264\) | −9.91732 | + | 3.60961i | −0.610369 | + | 0.222156i | ||||
\(265\) | 1.60315 | − | 3.30617i | 0.0984810 | − | 0.203097i | ||||
\(266\) | −0.00829414 | − | 1.45203i | −0.000508546 | − | 0.0890295i | ||||
\(267\) | − | 1.66181i | − | 0.101701i | ||||||
\(268\) | −6.99454 | − | 19.2173i | −0.427259 | − | 1.17389i | ||||
\(269\) | −2.50436 | + | 14.2029i | −0.152693 | + | 0.865968i | 0.808171 | + | 0.588948i | \(0.200458\pi\) |
−0.960864 | + | 0.277020i | \(0.910653\pi\) | |||||||
\(270\) | −27.1001 | + | 6.82284i | −1.64926 | + | 0.415225i | ||||
\(271\) | −1.67326 | − | 1.40404i | −0.101644 | − | 0.0852891i | 0.590550 | − | 0.807001i | \(-0.298911\pi\) |
−0.692193 | + | 0.721712i | \(0.743355\pi\) | |||||||
\(272\) | 2.72887 | − | 0.481173i | 0.165462 | − | 0.0291754i | ||||
\(273\) | −0.243540 | + | 0.140608i | −0.0147397 | + | 0.00850996i | ||||
\(274\) | −14.3203 | + | 24.8034i | −0.865118 | + | 1.49843i | ||||
\(275\) | 4.41165 | + | 13.3688i | 0.266033 | + | 0.806166i | ||||
\(276\) | −26.4294 | − | 9.61951i | −1.59086 | − | 0.579026i | ||||
\(277\) | 13.8344 | + | 7.98732i | 0.831231 | + | 0.479911i | 0.854274 | − | 0.519823i | \(-0.174002\pi\) |
−0.0230432 | + | 0.999734i | \(0.507336\pi\) | |||||||
\(278\) | 16.0124 | − | 9.24475i | 0.960358 | − | 0.554463i | ||||
\(279\) | 1.41461 | + | 8.02267i | 0.0846907 | + | 0.480305i | ||||
\(280\) | 0.427525 | + | 0.954341i | 0.0255495 | + | 0.0570328i | ||||
\(281\) | −10.9214 | + | 9.16416i | −0.651517 | + | 0.546688i | −0.907531 | − | 0.419985i | \(-0.862035\pi\) |
0.256014 | + | 0.966673i | \(0.417591\pi\) | |||||||
\(282\) | 9.65092 | + | 1.70172i | 0.574704 | + | 0.101336i | ||||
\(283\) | −2.41716 | − | 6.64111i | −0.143686 | − | 0.394773i | 0.846885 | − | 0.531776i | \(-0.178475\pi\) |
−0.990571 | + | 0.137003i | \(0.956253\pi\) | |||||||
\(284\) | −1.84142 | −0.109268 | ||||||||
\(285\) | −6.50753 | + | 9.10930i | −0.385473 | + | 0.539589i | ||||
\(286\) | −11.1826 | −0.661244 | ||||||||
\(287\) | 0.00918097 | + | 0.0252245i | 0.000541936 | + | 0.00148896i | ||||
\(288\) | 7.80769 | + | 1.37671i | 0.460073 | + | 0.0811232i | ||||
\(289\) | 3.32041 | − | 2.78616i | 0.195318 | − | 0.163892i | ||||
\(290\) | 35.9176 | − | 16.0903i | 2.10915 | − | 0.944857i | ||||
\(291\) | 1.75557 | + | 9.95634i | 0.102913 | + | 0.583651i | ||||
\(292\) | −30.8563 | + | 17.8149i | −1.80573 | + | 1.04254i | ||||
\(293\) | 0.845886 | + | 0.488373i | 0.0494172 | + | 0.0285310i | 0.524505 | − | 0.851407i | \(-0.324250\pi\) |
−0.475088 | + | 0.879938i | \(0.657584\pi\) | |||||||
\(294\) | −17.5114 | − | 6.37364i | −1.02129 | − | 0.371718i | ||||
\(295\) | 8.35537 | + | 8.61263i | 0.486469 | + | 0.501447i | ||||
\(296\) | −15.4873 | + | 26.8247i | −0.900179 | + | 1.55916i | ||||
\(297\) | −13.1092 | + | 7.56858i | −0.760671 | + | 0.439174i | ||||
\(298\) | 9.60638 | − | 1.69386i | 0.556483 | − | 0.0981230i | ||||
\(299\) | −9.41556 | − | 7.90059i | −0.544516 | − | 0.456903i | ||||
\(300\) | 3.97655 | − | 19.1394i | 0.229586 | − | 1.10501i | ||||
\(301\) | −0.273584 | + | 1.55157i | −0.0157691 | + | 0.0894312i | ||||
\(302\) | −2.27500 | − | 6.25052i | −0.130912 | − | 0.359677i | ||||
\(303\) | − | 3.30555i | − | 0.189899i | ||||||
\(304\) | −2.92945 | + | 1.71370i | −0.168015 | + | 0.0982876i | ||||
\(305\) | −20.3469 | − | 9.86617i | −1.16506 | − | 0.564935i | ||||
\(306\) | 13.0664 | − | 4.75579i | 0.746958 | − | 0.271870i | ||||
\(307\) | 28.0346 | + | 4.94325i | 1.60002 | + | 0.282126i | 0.901275 | − | 0.433248i | \(-0.142633\pi\) |
0.698742 | + | 0.715374i | \(0.253744\pi\) | |||||||
\(308\) | 0.882796 | + | 1.05207i | 0.0503020 | + | 0.0599475i | ||||
\(309\) | −1.05554 | − | 0.885703i | −0.0600475 | − | 0.0503859i | ||||
\(310\) | −24.2339 | − | 6.88887i | −1.37640 | − | 0.391262i | ||||
\(311\) | 12.7730 | + | 22.1235i | 0.724292 | + | 1.25451i | 0.959265 | + | 0.282509i | \(0.0911668\pi\) |
−0.234972 | + | 0.972002i | \(0.575500\pi\) | |||||||
\(312\) | 5.54623 | + | 3.20212i | 0.313993 | + | 0.181284i | ||||
\(313\) | 5.11365 | − | 14.0496i | 0.289041 | − | 0.794133i | −0.707161 | − | 0.707053i | \(-0.750024\pi\) |
0.996201 | − | 0.0870798i | \(-0.0277535\pi\) | |||||||
\(314\) | −25.1742 | − | 9.16265i | −1.42066 | − | 0.517078i | ||||
\(315\) | 0.302189 | + | 0.445806i | 0.0170264 | + | 0.0251183i | ||||
\(316\) | 19.7575 | + | 34.2210i | 1.11145 | + | 1.92508i | ||||
\(317\) | −22.1977 | + | 3.91406i | −1.24675 | + | 0.219835i | −0.757805 | − | 0.652481i | \(-0.773728\pi\) |
−0.488943 | + | 0.872316i | \(0.662617\pi\) | |||||||
\(318\) | −2.82018 | + | 3.36096i | −0.158148 | + | 0.188473i | ||||
\(319\) | 16.3307 | − | 13.7031i | 0.914344 | − | 0.767226i | ||||
\(320\) | −16.4066 | + | 22.6910i | −0.917156 | + | 1.26846i | ||||
\(321\) | 4.42017 | − | 1.60881i | 0.246710 | − | 0.0897950i | ||||
\(322\) | 2.39647i | 0.133550i | ||||||||
\(323\) | 7.67950 | − | 13.4785i | 0.427299 | − | 0.749964i | ||||
\(324\) | 3.85568 | 0.214204 | ||||||||
\(325\) | 4.49367 | − | 7.26531i | 0.249264 | − | 0.403007i | ||||
\(326\) | 7.63716 | − | 43.3125i | 0.422983 | − | 2.39886i | ||||
\(327\) | 11.9560 | + | 14.2486i | 0.661166 | + | 0.787947i | ||||
\(328\) | 0.392946 | − | 0.468295i | 0.0216968 | − | 0.0258572i | ||||
\(329\) | −0.0913327 | − | 0.517973i | −0.00503533 | − | 0.0285568i | ||||
\(330\) | −1.21105 | − | 16.7662i | −0.0666660 | − | 0.922950i | ||||
\(331\) | 5.43405 | − | 9.41205i | 0.298682 | − | 0.517333i | −0.677152 | − | 0.735843i | \(-0.736786\pi\) |
0.975835 | + | 0.218510i | \(0.0701196\pi\) | |||||||
\(332\) | −8.84297 | + | 24.2959i | −0.485321 | + | 1.33341i | ||||
\(333\) | −5.45611 | + | 14.9905i | −0.298993 | + | 0.821476i | ||||
\(334\) | 17.5148 | − | 30.3366i | 0.958369 | − | 1.65994i | ||||
\(335\) | 13.3995 | − | 0.967865i | 0.732093 | − | 0.0528801i | ||||
\(336\) | −0.0222538 | − | 0.126207i | −0.00121404 | − | 0.00688518i | ||||
\(337\) | 4.95529 | − | 5.90548i | 0.269932 | − | 0.321692i | −0.614002 | − | 0.789305i | \(-0.710441\pi\) |
0.883934 | + | 0.467612i | \(0.154886\pi\) | |||||||
\(338\) | −15.0633 | − | 17.9517i | −0.819333 | − | 0.976443i | ||||
\(339\) | −0.621971 | + | 3.52737i | −0.0337808 | + | 0.191581i | ||||
\(340\) | −2.76964 | + | 26.9456i | −0.150205 | + | 1.46133i | ||||
\(341\) | −13.6467 | −0.739010 | ||||||||
\(342\) | −12.9836 | + | 11.0216i | −0.702075 | + | 0.595978i | ||||
\(343\) | 2.00329i | 0.108167i | ||||||||
\(344\) | 33.7159 | − | 12.2716i | 1.81784 | − | 0.661639i | ||||
\(345\) | 10.8257 | − | 14.9724i | 0.582838 | − | 0.806088i | ||||
\(346\) | 38.6337 | − | 32.4175i | 2.07696 | − | 1.74278i | ||||
\(347\) | 13.0292 | − | 15.5276i | 0.699445 | − | 0.833566i | −0.293018 | − | 0.956107i | \(-0.594660\pi\) |
0.992464 | + | 0.122540i | \(0.0391041\pi\) | |||||||
\(348\) | −29.1521 | + | 5.14031i | −1.56272 | + | 0.275549i | ||||
\(349\) | 9.52515 | + | 16.4981i | 0.509870 | + | 0.883120i | 0.999935 | + | 0.0114345i | \(0.00363978\pi\) |
−0.490065 | + | 0.871686i | \(0.663027\pi\) | |||||||
\(350\) | −1.64833 | + | 0.239371i | −0.0881068 | + | 0.0127949i | ||||
\(351\) | 8.63155 | + | 3.14163i | 0.460718 | + | 0.167688i | ||||
\(352\) | −4.54237 | + | 12.4801i | −0.242109 | + | 0.665189i | ||||
\(353\) | 15.7328 | + | 9.08336i | 0.837375 | + | 0.483459i | 0.856371 | − | 0.516361i | \(-0.172714\pi\) |
−0.0189962 | + | 0.999820i | \(0.506047\pi\) | |||||||
\(354\) | −7.16414 | − | 12.4087i | −0.380770 | − | 0.659513i | ||||
\(355\) | 0.330762 | − | 1.16357i | 0.0175550 | − | 0.0617557i | ||||
\(356\) | 3.77266 | + | 3.16564i | 0.199951 | + | 0.167778i | ||||
\(357\) | 0.376524 | + | 0.448724i | 0.0199278 | + | 0.0237490i | ||||
\(358\) | 52.3771 | + | 9.23549i | 2.76821 | + | 0.488111i | ||||
\(359\) | −15.1590 | + | 5.51741i | −0.800060 | + | 0.291198i | −0.709511 | − | 0.704694i | \(-0.751084\pi\) |
−0.0905485 | + | 0.995892i | \(0.528862\pi\) | |||||||
\(360\) | 5.35139 | − | 11.0361i | 0.282043 | − | 0.581656i | ||||
\(361\) | −3.08534 | + | 18.7478i | −0.162387 | + | 0.986727i | ||||
\(362\) | 26.8866i | 1.41313i | ||||||||
\(363\) | 1.20701 | + | 3.31624i | 0.0633518 | + | 0.174058i | ||||
\(364\) | 0.144718 | − | 0.820735i | 0.00758527 | − | 0.0430182i | ||||
\(365\) | −5.71445 | − | 22.6975i | −0.299108 | − | 1.18804i | ||||
\(366\) | 20.6841 | + | 17.3560i | 1.08118 | + | 0.907214i | ||||
\(367\) | −31.7715 | + | 5.60217i | −1.65846 | + | 0.292431i | −0.922902 | − | 0.385034i | \(-0.874190\pi\) |
−0.735555 | + | 0.677465i | \(0.763079\pi\) | |||||||
\(368\) | 4.85084 | − | 2.80064i | 0.252868 | − | 0.145993i | ||||
\(369\) | 0.157421 | − | 0.272660i | 0.00819499 | − | 0.0141941i | ||||
\(370\) | −34.3528 | − | 35.4105i | −1.78592 | − | 1.84090i | ||||
\(371\) | 0.221276 | + | 0.0805379i | 0.0114881 | + | 0.00418132i | ||||
\(372\) | 16.4106 | + | 9.47469i | 0.850853 | + | 0.491240i | ||||
\(373\) | −2.06146 | + | 1.19018i | −0.106738 | + | 0.0616253i | −0.552419 | − | 0.833567i | \(-0.686295\pi\) |
0.445681 | + | 0.895192i | \(0.352962\pi\) | |||||||
\(374\) | 4.04484 | + | 22.9394i | 0.209153 | + | 1.18617i | ||||
\(375\) | 11.3796 | + | 5.95058i | 0.587639 | + | 0.307287i | ||||
\(376\) | −9.17568 | + | 7.69931i | −0.473199 | + | 0.397061i | ||||
\(377\) | −12.7398 | − | 2.24636i | −0.656131 | − | 0.115694i | ||||
\(378\) | −0.612540 | − | 1.68294i | −0.0315057 | − | 0.0865611i | ||||
\(379\) | −17.7215 | −0.910291 | −0.455145 | − | 0.890417i | \(-0.650413\pi\) | ||||
−0.455145 | + | 0.890417i | \(0.650413\pi\) | |||||||
\(380\) | −8.28364 | − | 32.1261i | −0.424942 | − | 1.64803i | ||||
\(381\) | −9.37263 | −0.480174 | ||||||||
\(382\) | 5.79571 | + | 15.9236i | 0.296534 | + | 0.814722i | ||||
\(383\) | −10.5025 | − | 1.85188i | −0.536655 | − | 0.0946268i | −0.101249 | − | 0.994861i | \(-0.532284\pi\) |
−0.435406 | + | 0.900234i | \(0.643395\pi\) | |||||||
\(384\) | 17.3121 | − | 14.5266i | 0.883457 | − | 0.741308i | ||||
\(385\) | −0.823360 | + | 0.368848i | −0.0419623 | + | 0.0187982i | ||||
\(386\) | −10.5705 | − | 59.9484i | −0.538025 | − | 3.05129i | ||||
\(387\) | 16.0032 | − | 9.23943i | 0.813486 | − | 0.469667i | ||||
\(388\) | −25.9472 | − | 14.9806i | −1.31727 | − | 0.760527i | ||||
\(389\) | 21.3605 | + | 7.77458i | 1.08302 | + | 0.394187i | 0.821031 | − | 0.570884i | \(-0.193400\pi\) |
0.261989 | + | 0.965071i | \(0.415622\pi\) | |||||||
\(390\) | −7.32140 | + | 7.10271i | −0.370733 | + | 0.359660i | ||||
\(391\) | −12.8011 | + | 22.1722i | −0.647381 | + | 1.12130i | ||||
\(392\) | 19.7257 | − | 11.3887i | 0.996301 | − | 0.575214i | ||||
\(393\) | −2.96351 | + | 0.522548i | −0.149490 | + | 0.0263590i | ||||
\(394\) | 4.07474 | + | 3.41911i | 0.205282 | + | 0.172252i | ||||
\(395\) | −25.1726 | + | 6.33758i | −1.26657 | + | 0.318878i | ||||
\(396\) | 2.79716 | − | 15.8635i | 0.140563 | − | 0.797170i | ||||
\(397\) | 6.99106 | + | 19.2078i | 0.350871 | + | 0.964011i | 0.982091 | + | 0.188407i | \(0.0603323\pi\) |
−0.631220 | + | 0.775604i | \(0.717445\pi\) | |||||||
\(398\) | − | 28.4694i | − | 1.42704i | ||||||
\(399\) | −0.623367 | − | 0.355169i | −0.0312074 | − | 0.0177807i | ||||
\(400\) | 2.41084 | + | 3.05674i | 0.120542 | + | 0.152837i | ||||
\(401\) | −15.6902 | + | 5.71077i | −0.783531 | + | 0.285182i | −0.702644 | − | 0.711541i | \(-0.747998\pi\) |
−0.0808870 | + | 0.996723i | \(0.525775\pi\) | |||||||
\(402\) | −15.7979 | − | 2.78559i | −0.787927 | − | 0.138933i | ||||
\(403\) | 5.32296 | + | 6.34366i | 0.265156 | + | 0.316000i | ||||
\(404\) | 7.50431 | + | 6.29686i | 0.373353 | + | 0.313281i | ||||
\(405\) | −0.692568 | + | 2.43634i | −0.0344140 | + | 0.121063i | ||||
\(406\) | 1.26113 | + | 2.18434i | 0.0625888 | + | 0.108407i | ||||
\(407\) | −23.1431 | − | 13.3617i | −1.14716 | − | 0.662313i | ||||
\(408\) | 4.56252 | − | 12.5354i | 0.225878 | − | 0.620596i | ||||
\(409\) | −16.6181 | − | 6.04849i | −0.821712 | − | 0.299079i | −0.103259 | − | 0.994655i | \(-0.532927\pi\) |
−0.718453 | + | 0.695576i | \(0.755149\pi\) | |||||||
\(410\) | 0.546332 | + | 0.805977i | 0.0269814 | + | 0.0398044i | ||||
\(411\) | 7.07553 | + | 12.2552i | 0.349010 | + | 0.604504i | ||||
\(412\) | 4.02147 | − | 0.709093i | 0.198123 | − | 0.0349345i | ||||
\(413\) | −0.494312 | + | 0.589098i | −0.0243235 | + | 0.0289876i | ||||
\(414\) | 21.5318 | − | 18.0673i | 1.05823 | − | 0.887961i | ||||
\(415\) | −13.7638 | − | 9.95182i | −0.675637 | − | 0.488516i | ||||
\(416\) | 7.57313 | − | 2.75639i | 0.371303 | − | 0.135143i | ||||
\(417\) | − | 9.13552i | − | 0.447369i | ||||||
\(418\) | −14.4057 | − | 24.6255i | −0.704606 | − | 1.20447i | ||||
\(419\) | 37.9339 | 1.85319 | 0.926596 | − | 0.376059i | \(-0.122721\pi\) | ||||
0.926596 | + | 0.376059i | \(0.122721\pi\) | |||||||
\(420\) | 1.24621 | + | 0.128093i | 0.0608086 | + | 0.00625030i | ||||
\(421\) | 2.01122 | − | 11.4062i | 0.0980211 | − | 0.555905i | −0.895759 | − | 0.444541i | \(-0.853367\pi\) |
0.993780 | − | 0.111364i | \(-0.0355221\pi\) | |||||||
\(422\) | −4.48734 | − | 5.34780i | −0.218440 | − | 0.260327i | ||||
\(423\) | −3.96532 | + | 4.72568i | −0.192800 | + | 0.229770i | ||||
\(424\) | −0.931209 | − | 5.28115i | −0.0452235 | − | 0.256475i | ||||
\(425\) | −16.5290 | − | 6.59014i | −0.801774 | − | 0.319669i | ||||
\(426\) | −0.722211 | + | 1.25091i | −0.0349912 | + | 0.0606066i | ||||
\(427\) | 0.495648 | − | 1.36178i | 0.0239861 | − | 0.0659012i | ||||
\(428\) | −4.76779 | + | 13.0994i | −0.230460 | + | 0.633183i | ||||
\(429\) | −2.76263 | + | 4.78502i | −0.133381 | + | 0.231023i | ||||
\(430\) | 4.11720 | + | 57.0001i | 0.198549 | + | 2.74879i | ||||
\(431\) | 5.52023 | + | 31.3068i | 0.265900 | + | 1.50800i | 0.766459 | + | 0.642293i | \(0.222017\pi\) |
−0.500559 | + | 0.865702i | \(0.666872\pi\) | |||||||
\(432\) | −2.69070 | + | 3.20665i | −0.129456 | + | 0.154280i | ||||
\(433\) | 2.62802 | + | 3.13196i | 0.126295 | + | 0.150512i | 0.825486 | − | 0.564422i | \(-0.190901\pi\) |
−0.699192 | + | 0.714934i | \(0.746457\pi\) | |||||||
\(434\) | 0.280373 | − | 1.59007i | 0.0134583 | − | 0.0763260i | ||||
\(435\) | 1.98831 | − | 19.3441i | 0.0953322 | − | 0.927478i | ||||
\(436\) | −55.1226 | −2.63989 | ||||||||
\(437\) | 5.26872 | − | 30.9119i | 0.252037 | − | 1.47871i | ||||
\(438\) | 27.9481i | 1.33541i | ||||||||
\(439\) | −11.0468 | + | 4.02069i | −0.527233 | + | 0.191897i | −0.591903 | − | 0.806009i | \(-0.701623\pi\) |
0.0646692 | + | 0.997907i | \(0.479401\pi\) | |||||||
\(440\) | 16.6499 | + | 12.0386i | 0.793753 | + | 0.573919i | ||||
\(441\) | 8.98635 | − | 7.54044i | 0.427921 | − | 0.359069i | ||||
\(442\) | 9.08566 | − | 10.8279i | 0.432161 | − | 0.515029i | ||||
\(443\) | −7.76677 | + | 1.36949i | −0.369010 | + | 0.0650665i | −0.355079 | − | 0.934836i | \(-0.615546\pi\) |
−0.0139318 | + | 0.999903i | \(0.504435\pi\) | |||||||
\(444\) | 18.5536 | + | 32.1358i | 0.880516 | + | 1.52510i | ||||
\(445\) | −2.67797 | + | 1.81526i | −0.126948 | + | 0.0860517i | ||||
\(446\) | −4.79184 | − | 1.74409i | −0.226900 | − | 0.0825850i | ||||
\(447\) | 1.64842 | − | 4.52900i | 0.0779677 | − | 0.214215i | ||||
\(448\) | −1.55407 | − | 0.897245i | −0.0734231 | − | 0.0423908i | ||||
\(449\) | −0.580397 | − | 1.00528i | −0.0273906 | − | 0.0474419i | 0.852005 | − | 0.523533i | \(-0.175386\pi\) |
−0.879396 | + | 0.476091i | \(0.842053\pi\) | |||||||
\(450\) | 14.5777 | + | 13.0052i | 0.687198 | + | 0.613073i | ||||
\(451\) | 0.404022 | + | 0.339015i | 0.0190247 | + | 0.0159636i | ||||
\(452\) | −6.82307 | − | 8.13142i | −0.320930 | − | 0.382470i | ||||
\(453\) | −3.23661 | − | 0.570702i | −0.152069 | − | 0.0268139i | ||||
\(454\) | −14.0755 | + | 5.12308i | −0.660598 | + | 0.240438i | ||||
\(455\) | 0.492615 | + | 0.238867i | 0.0230941 | + | 0.0111983i | ||||
\(456\) | 0.0933272 | + | 16.3385i | 0.00437045 | + | 0.765119i | ||||
\(457\) | 38.6888i | 1.80978i | 0.425641 | + | 0.904892i | \(0.360049\pi\) | ||||
−0.425641 | + | 0.904892i | \(0.639951\pi\) | |||||||
\(458\) | 1.22696 | + | 3.37105i | 0.0573321 | + | 0.157519i | ||||
\(459\) | 3.32246 | − | 18.8426i | 0.155079 | − | 0.879497i | ||||
\(460\) | 13.3683 | + | 53.0982i | 0.623299 | + | 2.47572i | ||||
\(461\) | −18.7676 | − | 15.7479i | −0.874096 | − | 0.733453i | 0.0908609 | − | 0.995864i | \(-0.471038\pi\) |
−0.964956 | + | 0.262410i | \(0.915483\pi\) | |||||||
\(462\) | 1.06092 | − | 0.187070i | 0.0493587 | − | 0.00870326i | ||||
\(463\) | 28.1328 | − | 16.2425i | 1.30744 | − | 0.754852i | 0.325773 | − | 0.945448i | \(-0.394375\pi\) |
0.981669 | + | 0.190596i | \(0.0610421\pi\) | |||||||
\(464\) | 2.94764 | − | 5.10546i | 0.136841 | − | 0.237015i | ||||
\(465\) | −8.93464 | + | 8.66776i | −0.414334 | + | 0.401958i | ||||
\(466\) | −44.6960 | − | 16.2680i | −2.07050 | − | 0.753602i | ||||
\(467\) | −12.7323 | − | 7.35099i | −0.589180 | − | 0.340163i | 0.175593 | − | 0.984463i | \(-0.443816\pi\) |
−0.764773 | + | 0.644299i | \(0.777149\pi\) | |||||||
\(468\) | −8.46518 | + | 4.88738i | −0.391303 | + | 0.225919i | ||||
\(469\) | 0.149505 | + | 0.847887i | 0.00690351 | + | 0.0391518i | ||||
\(470\) | −7.79981 | − | 17.4111i | −0.359779 | − | 0.803115i | ||||
\(471\) | −10.1399 | + | 8.50835i | −0.467220 | + | 0.392044i | ||||
\(472\) | 17.2470 | + | 3.04111i | 0.793856 | + | 0.139978i | ||||
\(473\) | 10.5873 | + | 29.0885i | 0.486806 | + | 1.33749i | ||||
\(474\) | 30.9957 | 1.42368 | ||||||||
\(475\) | 21.7879 | + | 0.536276i | 0.999697 | + | 0.0246060i | ||||
\(476\) | −1.73595 | −0.0795672 | ||||||||
\(477\) | −0.944615 | − | 2.59531i | −0.0432510 | − | 0.118831i | ||||
\(478\) | 14.2868 | + | 2.51915i | 0.653462 | + | 0.115223i | ||||
\(479\) | 10.1268 | − | 8.49741i | 0.462706 | − | 0.388256i | −0.381420 | − | 0.924402i | \(-0.624565\pi\) |
0.844125 | + | 0.536146i | \(0.180120\pi\) | |||||||
\(480\) | 4.95283 | + | 11.0559i | 0.226065 | + | 0.504632i | ||||
\(481\) | 2.81592 | + | 15.9699i | 0.128395 | + | 0.728162i | ||||
\(482\) | 52.9765 | − | 30.5860i | 2.41301 | − | 1.39315i | ||||
\(483\) | 1.02544 | + | 0.592039i | 0.0466592 | + | 0.0269387i | ||||
\(484\) | −9.82785 | − | 3.57705i | −0.446721 | − | 0.162593i | ||||
\(485\) | 14.1268 | − | 13.7048i | 0.641463 | − | 0.622302i | ||||
\(486\) | −17.2344 | + | 29.8508i | −0.781767 | + | 1.35406i | ||||
\(487\) | −8.36642 | + | 4.83036i | −0.379119 | + | 0.218884i | −0.677435 | − | 0.735583i | \(-0.736908\pi\) |
0.298316 | + | 0.954467i | \(0.403575\pi\) | |||||||
\(488\) | −32.5013 | + | 5.73086i | −1.47127 | + | 0.259424i | ||||
\(489\) | −16.6465 | − | 13.9681i | −0.752783 | − | 0.631660i | ||||
\(490\) | 8.85747 | + | 35.1815i | 0.400140 | + | 1.58934i | ||||
\(491\) | 0.466479 | − | 2.64553i | 0.0210519 | − | 0.119391i | −0.972471 | − | 0.233024i | \(-0.925138\pi\) |
0.993523 | + | 0.113633i | \(0.0362489\pi\) | |||||||
\(492\) | −0.250479 | − | 0.688184i | −0.0112924 | − | 0.0310257i | ||||
\(493\) | 26.9461i | 1.21359i | ||||||||
\(494\) | −5.82813 | + | 16.3018i | −0.262220 | + | 0.733452i | ||||
\(495\) | 9.52145 | + | 4.61693i | 0.427957 | + | 0.207515i | ||||
\(496\) | −3.54623 | + | 1.29072i | −0.159230 | + | 0.0579551i | ||||
\(497\) | 0.0763457 | + | 0.0134618i | 0.00342457 | + | 0.000603844i | ||||
\(498\) | 13.0363 | + | 15.5360i | 0.584170 | + | 0.696187i | ||||
\(499\) | −1.80438 | − | 1.51406i | −0.0807753 | − | 0.0677786i | 0.601506 | − | 0.798868i | \(-0.294568\pi\) |
−0.682281 | + | 0.731090i | \(0.739012\pi\) | |||||||
\(500\) | −35.1864 | + | 14.4986i | −1.57359 | + | 0.648397i | ||||
\(501\) | −8.65395 | − | 14.9891i | −0.386630 | − | 0.669663i | ||||
\(502\) | −21.5538 | − | 12.4441i | −0.961995 | − | 0.555408i | ||||
\(503\) | −4.69900 | + | 12.9104i | −0.209518 | + | 0.575646i | −0.999287 | − | 0.0377584i | \(-0.987978\pi\) |
0.789769 | + | 0.613405i | \(0.210201\pi\) | |||||||
\(504\) | 0.738629 | + | 0.268839i | 0.0329011 | + | 0.0119750i | ||||
\(505\) | −5.32683 | + | 3.61079i | −0.237041 | + | 0.160678i | ||||
\(506\) | 23.5427 | + | 40.7771i | 1.04660 | + | 1.81276i | ||||
\(507\) | −11.4028 | + | 2.01062i | −0.506416 | + | 0.0892948i | ||||
\(508\) | 17.8542 | − | 21.2779i | 0.792154 | − | 0.944052i | ||||
\(509\) | 27.8684 | − | 23.3844i | 1.23524 | − | 1.03649i | 0.237364 | − | 0.971421i | \(-0.423717\pi\) |
0.997881 | − | 0.0650727i | \(-0.0207279\pi\) | |||||||
\(510\) | 17.2183 | + | 12.4496i | 0.762438 | + | 0.551277i | ||||
\(511\) | 1.40954 | − | 0.513031i | 0.0623544 | − | 0.0226952i | ||||
\(512\) | 8.75464i | 0.386904i | ||||||||
\(513\) | 4.20111 | + | 23.0548i | 0.185483 | + | 1.01789i | ||||
\(514\) | 31.4382 | 1.38668 | ||||||||
\(515\) | −0.274283 | + | 2.66847i | −0.0120863 | + | 0.117587i | ||||
\(516\) | 7.46402 | − | 42.3306i | 0.328585 | − | 1.86350i | ||||
\(517\) | −6.64259 | − | 7.91633i | −0.292141 | − | 0.348160i | ||||
\(518\) | 2.03234 | − | 2.42205i | 0.0892960 | − | 0.106419i | ||||
\(519\) | −4.32704 | − | 24.5398i | −0.189936 | − | 1.07718i | ||||
\(520\) | −0.898229 | − | 12.4354i | −0.0393899 | − | 0.545330i | ||||
\(521\) | −0.290212 | + | 0.502661i | −0.0127144 | + | 0.0220220i | −0.872313 | − | 0.488949i | \(-0.837381\pi\) |
0.859598 | + | 0.510971i | \(0.170714\pi\) | |||||||
\(522\) | 10.1180 | − | 27.7990i | 0.442854 | − | 1.21673i | ||||
\(523\) | 6.58262 | − | 18.0856i | 0.287838 | − | 0.790828i | −0.708530 | − | 0.705680i | \(-0.750642\pi\) |
0.996368 | − | 0.0851478i | \(-0.0271363\pi\) | |||||||
\(524\) | 4.45901 | − | 7.72322i | 0.194793 | − | 0.337391i | ||||
\(525\) | −0.304787 | + | 0.764450i | −0.0133020 | + | 0.0333633i | ||||
\(526\) | −2.64021 | − | 14.9734i | −0.115118 | − | 0.652869i | ||||
\(527\) | 11.0876 | − | 13.2137i | 0.482986 | − | 0.575600i | ||||
\(528\) | −1.61851 | − | 1.92886i | −0.0704366 | − | 0.0839431i | ||||
\(529\) | −4.99286 | + | 28.3159i | −0.217081 | + | 1.23113i | ||||
\(530\) | 8.49673 | + | 0.873348i | 0.369074 | + | 0.0379358i | ||||
\(531\) | 9.01961 | 0.391418 | ||||||||
\(532\) | 1.99378 | − | 0.738602i | 0.0864414 | − | 0.0320224i | ||||
\(533\) | − | 0.320044i | − | 0.0138626i | ||||||
\(534\) | 3.63011 | − | 1.32125i | 0.157090 | − | 0.0571762i | ||||
\(535\) | −7.42089 | − | 5.36564i | −0.320833 | − | 0.231977i | ||||
\(536\) | 15.0200 | − | 12.6032i | 0.648763 | − | 0.544377i | ||||
\(537\) | 16.8914 | − | 20.1304i | 0.728918 | − | 0.868690i | ||||
\(538\) | −33.0165 | + | 5.82169i | −1.42344 | + | 0.250991i | ||||
\(539\) | 9.82559 | + | 17.0184i | 0.423218 | + | 0.733036i | ||||
\(540\) | −22.9599 | − | 33.8717i | −0.988039 | − | 1.45761i | ||||
\(541\) | 29.9824 | + | 10.9127i | 1.28904 | + | 0.469174i | 0.893413 | − | 0.449236i | \(-0.148304\pi\) |
0.395631 | + | 0.918410i | \(0.370526\pi\) | |||||||
\(542\) | 1.73666 | − | 4.77143i | 0.0745959 | − | 0.204951i | ||||
\(543\) | 11.5047 | + | 6.64223i | 0.493713 | + | 0.285045i | ||||
\(544\) | −8.39355 | − | 14.5380i | −0.359870 | − | 0.623314i | ||||
\(545\) | 9.90127 | − | 34.8311i | 0.424124 | − | 1.49200i | ||||
\(546\) | −0.500778 | − | 0.420203i | −0.0214313 | − | 0.0179830i | ||||
\(547\) | 2.20766 | + | 2.63099i | 0.0943929 | + | 0.112493i | 0.811173 | − | 0.584806i | \(-0.198829\pi\) |
−0.716780 | + | 0.697299i | \(0.754385\pi\) | |||||||
\(548\) | −41.3003 | − | 7.28235i | −1.76426 | − | 0.311087i | ||||
\(549\) | −15.9721 | + | 5.81337i | −0.681673 | + | 0.248109i | ||||
\(550\) | −25.6956 | + | 20.2660i | −1.09566 | + | 0.864146i | ||||
\(551\) | −11.4649 | − | 30.9482i | −0.488419 | − | 1.31844i | ||||
\(552\) | − | 26.9655i | − | 1.14773i | ||||||
\(553\) | −0.568974 | − | 1.56324i | −0.0241952 | − | 0.0664759i | ||||
\(554\) | −6.44843 | + | 36.5708i | −0.273967 | + | 1.55375i | ||||
\(555\) | −23.6388 | + | 5.95141i | −1.00341 | + | 0.252623i | ||||
\(556\) | 20.7396 | + | 17.4026i | 0.879554 | + | 0.738033i | ||||
\(557\) | 6.72634 | − | 1.18604i | 0.285004 | − | 0.0502539i | −0.0293185 | − | 0.999570i | \(-0.509334\pi\) |
0.314323 | + | 0.949316i | \(0.398223\pi\) | |||||||
\(558\) | −16.4003 | + | 9.46870i | −0.694279 | + | 0.400842i | ||||
\(559\) | 9.39211 | − | 16.2676i | 0.397244 | − | 0.688047i | ||||
\(560\) | −0.179072 | + | 0.173723i | −0.00756717 | + | 0.00734114i | ||||
\(561\) | 10.8150 | + | 3.93632i | 0.456608 | + | 0.166192i | ||||
\(562\) | −28.7018 | − | 16.5710i | −1.21071 | − | 0.699004i | ||||
\(563\) | −10.8797 | + | 6.28141i | −0.458526 | + | 0.264730i | −0.711424 | − | 0.702763i | \(-0.751949\pi\) |
0.252898 | + | 0.967493i | \(0.418616\pi\) | |||||||
\(564\) | 2.49177 | + | 14.1315i | 0.104922 | + | 0.595045i | ||||
\(565\) | 6.36369 | − | 2.85080i | 0.267723 | − | 0.119934i | ||||
\(566\) | 12.5852 | − | 10.5603i | 0.528997 | − | 0.443881i | ||||
\(567\) | −0.159857 | − | 0.0281871i | −0.00671336 | − | 0.00118375i | ||||
\(568\) | −0.603827 | − | 1.65900i | −0.0253360 | − | 0.0696102i | ||||
\(569\) | −3.47978 | −0.145880 | −0.0729400 | − | 0.997336i | \(-0.523238\pi\) | ||||
−0.0729400 | + | 0.997336i | \(0.523238\pi\) | |||||||
\(570\) | −25.0726 | − | 6.97273i | −1.05017 | − | 0.292055i | ||||
\(571\) | −0.621524 | −0.0260100 | −0.0130050 | − | 0.999915i | \(-0.504140\pi\) | ||||
−0.0130050 | + | 0.999915i | \(0.504140\pi\) | |||||||
\(572\) | −5.60037 | − | 15.3869i | −0.234163 | − | 0.643359i | ||||
\(573\) | 8.24546 | + | 1.45390i | 0.344459 | + | 0.0607374i | ||||
\(574\) | −0.0478017 | + | 0.0401104i | −0.00199521 | + | 0.00167418i | ||||
\(575\) | −35.9532 | − | 1.09045i | −1.49935 | − | 0.0454751i | ||||
\(576\) | 3.65482 | + | 20.7275i | 0.152284 | + | 0.863646i | ||||
\(577\) | −3.33567 | + | 1.92585i | −0.138866 | + | 0.0801742i | −0.567823 | − | 0.823150i | \(-0.692214\pi\) |
0.428958 | + | 0.903325i | \(0.358881\pi\) | |||||||
\(578\) | 8.72612 | + | 5.03803i | 0.362959 | + | 0.209554i | ||||
\(579\) | −28.2631 | − | 10.2869i | −1.17458 | − | 0.427510i | ||||
\(580\) | 40.1276 | + | 41.3631i | 1.66621 | + | 1.71751i | ||||
\(581\) | 0.544246 | − | 0.942662i | 0.0225791 | − | 0.0391082i | ||||
\(582\) | −20.3531 | + | 11.7509i | −0.843665 | + | 0.487090i | ||||
\(583\) | 4.55632 | − | 0.803402i | 0.188704 | − | 0.0332735i | ||||
\(584\) | −26.1682 | − | 21.9577i | −1.08285 | − | 0.908618i | ||||
\(585\) | −1.56772 | − | 6.22690i | −0.0648171 | − | 0.257451i | ||||
\(586\) | −0.394279 | + | 2.23607i | −0.0162875 | + | 0.0923712i | ||||
\(587\) | 13.8290 | + | 37.9949i | 0.570784 | + | 1.56822i | 0.803269 | + | 0.595616i | \(0.203092\pi\) |
−0.232485 | + | 0.972600i | \(0.574686\pi\) | |||||||
\(588\) | − | 27.2871i | − | 1.12530i | ||||||
\(589\) | −7.11233 | + | 19.8938i | −0.293059 | + | 0.819710i | ||||
\(590\) | −12.1706 | + | 25.0994i | −0.501056 | + | 1.03332i | ||||
\(591\) | 2.46968 | − | 0.898889i | 0.101589 | − | 0.0369753i | ||||
\(592\) | −7.27772 | − | 1.28326i | −0.299113 | − | 0.0527416i | ||||
\(593\) | −3.77549 | − | 4.49946i | −0.155041 | − | 0.184771i | 0.682933 | − | 0.730481i | \(-0.260704\pi\) |
−0.837974 | + | 0.545711i | \(0.816260\pi\) | |||||||
\(594\) | −26.9557 | − | 22.6185i | −1.10601 | − | 0.928050i | ||||
\(595\) | 0.311816 | − | 1.09692i | 0.0127832 | − | 0.0449693i | ||||
\(596\) | 7.14166 | + | 12.3697i | 0.292534 | + | 0.506684i | ||||
\(597\) | −12.1820 | − | 7.03326i | −0.498575 | − | 0.287852i | ||||
\(598\) | 9.77229 | − | 26.8491i | 0.399619 | − | 1.09794i | ||||
\(599\) | −12.5080 | − | 4.55254i | −0.511063 | − | 0.186012i | 0.0736001 | − | 0.997288i | \(-0.476551\pi\) |
−0.584663 | + | 0.811276i | \(0.698773\pi\) | |||||||
\(600\) | 18.5473 | − | 2.69344i | 0.757189 | − | 0.109959i | ||||
\(601\) | −2.58008 | − | 4.46883i | −0.105244 | − | 0.182287i | 0.808594 | − | 0.588367i | \(-0.200229\pi\) |
−0.913838 | + | 0.406079i | \(0.866896\pi\) | |||||||
\(602\) | −3.60682 | + | 0.635980i | −0.147003 | + | 0.0259206i | ||||
\(603\) | 6.49095 | − | 7.73561i | 0.264332 | − | 0.315019i | ||||
\(604\) | 7.46114 | − | 6.26064i | 0.303590 | − | 0.254742i | ||||
\(605\) | 4.02559 | − | 5.56755i | 0.163663 | − | 0.226353i | ||||
\(606\) | 7.22076 | − | 2.62814i | 0.293323 | − | 0.106761i | ||||
\(607\) | − | 30.5069i | − | 1.23824i | −0.785297 | − | 0.619119i | \(-0.787490\pi\) | ||
0.785297 | − | 0.619119i | \(-0.212510\pi\) | |||||||
\(608\) | 15.8258 | + | 13.1261i | 0.641819 | + | 0.532333i | ||||
\(609\) | 1.24623 | 0.0504998 | ||||||||
\(610\) | 5.37478 | − | 52.2907i | 0.217618 | − | 2.11719i | ||||
\(611\) | −1.08893 | + | 6.17561i | −0.0440533 | + | 0.249839i | ||||
\(612\) | 13.0876 | + | 15.5972i | 0.529034 | + | 0.630478i | ||||
\(613\) | 29.2473 | − | 34.8556i | 1.18129 | − | 1.40780i | 0.288409 | − | 0.957507i | \(-0.406874\pi\) |
0.892879 | − | 0.450297i | \(-0.148682\pi\) | |||||||
\(614\) | 11.4912 | + | 65.1698i | 0.463747 | + | 2.63004i | ||||
\(615\) | 0.479844 | − | 0.0346598i | 0.0193492 | − | 0.00139762i | ||||
\(616\) | −0.658370 | + | 1.14033i | −0.0265265 | + | 0.0459452i | ||||
\(617\) | −0.849053 | + | 2.33275i | −0.0341816 | + | 0.0939131i | −0.955609 | − | 0.294636i | \(-0.904802\pi\) |
0.921428 | + | 0.388549i | \(0.127024\pi\) | |||||||
\(618\) | 1.09553 | − | 3.00995i | 0.0440687 | − | 0.121078i | ||||
\(619\) | 11.7473 | − | 20.3469i | 0.472162 | − | 0.817809i | −0.527330 | − | 0.849660i | \(-0.676807\pi\) |
0.999493 | + | 0.0318512i | \(0.0101403\pi\) | |||||||
\(620\) | −2.65776 | − | 36.7950i | −0.106738 | − | 1.47772i | ||||
\(621\) | −6.71606 | − | 38.0887i | −0.269506 | − | 1.52845i | ||||
\(622\) | −38.1719 | + | 45.4915i | −1.53056 | + | 1.82404i | ||||
\(623\) | −0.133272 | − | 0.158828i | −0.00533945 | − | 0.00636330i | ||||
\(624\) | −0.265324 | + | 1.50473i | −0.0106215 | + | 0.0602373i | ||||
\(625\) | −2.84114 | − | 24.8380i | −0.113646 | − | 0.993521i | ||||
\(626\) | 34.7562 | 1.38914 | ||||||||
\(627\) | −14.0961 | + | 0.0805182i | −0.562942 | + | 0.00321559i | ||||
\(628\) | − | 39.2275i | − | 1.56535i | ||||||
\(629\) | 31.7410 | − | 11.5528i | 1.26560 | − | 0.460640i | ||||
\(630\) | −0.733571 | + | 1.01456i | −0.0292262 | + | 0.0404209i | ||||
\(631\) | −13.6507 | + | 11.4543i | −0.543426 | + | 0.455989i | −0.872708 | − | 0.488243i | \(-0.837638\pi\) |
0.329282 | + | 0.944232i | \(0.393193\pi\) | |||||||
\(632\) | −24.3521 | + | 29.0217i | −0.968675 | + | 1.15442i | ||||
\(633\) | −3.39689 | + | 0.598963i | −0.135014 | + | 0.0238066i | ||||
\(634\) | −26.1987 | − | 45.3774i | −1.04048 | − | 1.80217i | ||||
\(635\) | 10.2381 | + | 15.1038i | 0.406287 | + | 0.599376i | ||||
\(636\) | −6.03693 | − | 2.19726i | −0.239380 | − | 0.0871272i | ||||
\(637\) | 4.07849 | − | 11.2056i | 0.161596 | − | 0.443980i | ||||
\(638\) | 42.9175 | + | 24.7784i | 1.69912 | + | 0.980987i | ||||
\(639\) | −0.454629 | − | 0.787441i | −0.0179849 | − | 0.0311507i | ||||
\(640\) | −42.3201 | − | 12.0301i | −1.67285 | − | 0.475533i | ||||
\(641\) | 28.6984 | + | 24.0808i | 1.13352 | + | 0.951135i | 0.999207 | − | 0.0398045i | \(-0.0126735\pi\) |
0.134311 | + | 0.990939i | \(0.457118\pi\) | |||||||
\(642\) | 7.02867 | + | 8.37644i | 0.277399 | + | 0.330592i | ||||
\(643\) | −19.5865 | − | 3.45362i | −0.772415 | − | 0.136198i | −0.226469 | − | 0.974018i | \(-0.572718\pi\) |
−0.545946 | + | 0.837821i | \(0.683829\pi\) | |||||||
\(644\) | −3.29745 | + | 1.20017i | −0.129938 | + | 0.0472935i | ||||
\(645\) | 25.4073 | + | 12.3199i | 1.00041 | + | 0.485097i | ||||
\(646\) | 35.5486 | + | 6.05901i | 1.39864 | + | 0.238389i | ||||
\(647\) | 23.0645i | 0.906759i | 0.891318 | + | 0.453380i | \(0.149782\pi\) | ||||
−0.891318 | + | 0.453380i | \(0.850218\pi\) | |||||||
\(648\) | 1.26433 | + | 3.47371i | 0.0496675 | + | 0.136460i | ||||
\(649\) | −2.62372 | + | 14.8799i | −0.102990 | + | 0.584086i | ||||
\(650\) | 19.4433 | + | 4.03970i | 0.762630 | + | 0.158450i | ||||
\(651\) | −0.611122 | − | 0.512793i | −0.0239518 | − | 0.0200979i | ||||
\(652\) | 63.4211 | − | 11.1829i | 2.48376 | − | 0.437954i | ||||
\(653\) | −23.3687 | + | 13.4919i | −0.914489 | + | 0.527981i | −0.881873 | − | 0.471487i | \(-0.843717\pi\) |
−0.0326165 | + | 0.999468i | \(0.510384\pi\) | |||||||
\(654\) | −21.6192 | + | 37.4455i | −0.845377 | + | 1.46424i | ||||
\(655\) | 4.07924 | + | 4.20484i | 0.159389 | + | 0.164297i | ||||
\(656\) | 0.137054 | + | 0.0498834i | 0.00535104 | + | 0.00194762i | ||||
\(657\) | −15.2362 | − | 8.79663i | −0.594421 | − | 0.343189i | ||||
\(658\) | 1.05886 | − | 0.611334i | 0.0412787 | − | 0.0238323i | ||||
\(659\) | −2.34217 | − | 13.2831i | −0.0912379 | − | 0.517436i | −0.995835 | − | 0.0911691i | \(-0.970940\pi\) |
0.904598 | − | 0.426267i | \(-0.140171\pi\) | |||||||
\(660\) | 22.4632 | − | 10.0630i | 0.874379 | − | 0.391703i | ||||
\(661\) | −16.8359 | + | 14.1270i | −0.654842 | + | 0.549477i | −0.908536 | − | 0.417807i | \(-0.862799\pi\) |
0.253694 | + | 0.967284i | \(0.418354\pi\) | |||||||
\(662\) | 24.8804 | + | 4.38709i | 0.967005 | + | 0.170509i | ||||
\(663\) | −2.38863 | − | 6.56271i | −0.0927668 | − | 0.254875i | ||||
\(664\) | −24.7887 | −0.961988 | ||||||||
\(665\) | 0.108582 | + | 1.39251i | 0.00421062 | + | 0.0539992i | ||||
\(666\) | −37.0838 | −1.43697 | ||||||||
\(667\) | 18.6296 | + | 51.1843i | 0.721340 | + | 1.98186i | ||||
\(668\) | 50.5136 | + | 8.90691i | 1.95443 | + | 0.344619i | ||||
\(669\) | −1.93010 | + | 1.61954i | −0.0746219 | + | 0.0626152i | ||||
\(670\) | 12.7678 | + | 28.5008i | 0.493261 | + | 1.10108i | ||||
\(671\) | −4.94431 | − | 28.0406i | −0.190873 | − | 1.08250i | ||||
\(672\) | −0.672370 | + | 0.388193i | −0.0259372 | + | 0.0149749i | ||||
\(673\) | 20.0916 | + | 11.5999i | 0.774475 | + | 0.447143i | 0.834468 | − | 0.551056i | \(-0.185775\pi\) |
−0.0599940 | + | 0.998199i | \(0.519108\pi\) | |||||||
\(674\) | 16.8399 | + | 6.12923i | 0.648649 | + | 0.236089i | ||||
\(675\) | 25.5271 | − | 8.42389i | 0.982540 | − | 0.324236i | ||||
\(676\) | 17.1570 | − | 29.7169i | 0.659886 | − | 1.14296i | ||||
\(677\) | −24.8804 | + | 14.3647i | −0.956232 | + | 0.552081i | −0.895011 | − | 0.446043i | \(-0.852833\pi\) |
−0.0612208 | + | 0.998124i | \(0.519499\pi\) | |||||||
\(678\) | −8.19981 | + | 1.44585i | −0.314912 | + | 0.0555275i | ||||
\(679\) | 0.966259 | + | 0.810788i | 0.0370816 | + | 0.0311152i | ||||
\(680\) | −25.1844 | + | 6.34055i | −0.965778 | + | 0.243149i | ||||
\(681\) | −1.28516 | + | 7.28852i | −0.0492475 | + | 0.279297i | ||||
\(682\) | −10.8500 | − | 29.8103i | −0.415470 | − | 1.14149i | ||||
\(683\) | 24.0010i | 0.918374i | 0.888340 | + | 0.459187i | \(0.151859\pi\) | ||||
−0.888340 | + | 0.459187i | \(0.848141\pi\) | |||||||
\(684\) | −21.6676 | − | 12.3453i | −0.828481 | − | 0.472035i | ||||
\(685\) | 12.0201 | − | 24.7889i | 0.459264 | − | 0.947136i | ||||
\(686\) | −4.37604 | + | 1.59275i | −0.167078 | + | 0.0608114i | ||||
\(687\) | 1.74558 | + | 0.307792i | 0.0665979 | + | 0.0117430i | ||||
\(688\) | 5.50244 | + | 6.55756i | 0.209779 | + | 0.250005i | ||||
\(689\) | −2.15068 | − | 1.80463i | −0.0819343 | − | 0.0687510i | ||||
\(690\) | 41.3134 | + | 11.7440i | 1.57278 | + | 0.447086i | ||||
\(691\) | −18.6933 | − | 32.3778i | −0.711128 | − | 1.23171i | −0.964434 | − | 0.264323i | \(-0.914851\pi\) |
0.253307 | − | 0.967386i | \(-0.418482\pi\) | |||||||
\(692\) | 63.9534 | + | 36.9235i | 2.43114 | + | 1.40362i | ||||
\(693\) | −0.231941 | + | 0.637253i | −0.00881072 | + | 0.0242073i | ||||
\(694\) | 44.2781 | + | 16.1159i | 1.68078 | + | 0.611752i | ||||
\(695\) | −14.7217 | + | 9.97911i | −0.558426 | + | 0.378529i | ||||
\(696\) | −14.1905 | − | 24.5786i | −0.537888 | − | 0.931649i | ||||
\(697\) | −0.656519 | + | 0.115762i | −0.0248674 | + | 0.00438480i | ||||
\(698\) | −28.4657 | + | 33.9241i | −1.07744 | + | 1.28405i | ||||
\(699\) | −18.0030 | + | 15.1063i | −0.680937 | + | 0.571374i | ||||
\(700\) | −1.15486 | − | 2.14816i | −0.0436497 | − | 0.0811927i | ||||
\(701\) | 2.18595 | − | 0.795621i | 0.0825622 | − | 0.0300502i | −0.300409 | − | 0.953811i | \(-0.597123\pi\) |
0.382971 | + | 0.923760i | \(0.374901\pi\) | |||||||
\(702\) | 21.3528i | 0.805911i | ||||||||
\(703\) | −31.5400 | + | 26.7737i | −1.18955 | + | 1.00979i | ||||
\(704\) | −35.2578 | −1.32883 | ||||||||
\(705\) | −9.37707 | − | 0.963836i | −0.353161 | − | 0.0363002i | ||||
\(706\) | −7.33330 | + | 41.5892i | −0.275992 | + | 1.56523i | ||||
\(707\) | −0.265096 | − | 0.315929i | −0.00996996 | − | 0.0118817i | ||||
\(708\) | 13.4860 | − | 16.0720i | 0.506834 | − | 0.604022i | ||||
\(709\) | 4.22872 | + | 23.9823i | 0.158813 | + | 0.900674i | 0.955216 | + | 0.295908i | \(0.0956222\pi\) |
−0.796403 | + | 0.604766i | \(0.793267\pi\) | |||||||
\(710\) | 2.80471 | − | 0.202588i | 0.105259 | − | 0.00760300i | ||||
\(711\) | −9.75586 | + | 16.8976i | −0.365873 | + | 0.633711i | ||||
\(712\) | −1.61493 | + | 4.43697i | −0.0605219 | + | 0.166283i | ||||
\(713\) | 11.9256 | − | 32.7652i | 0.446616 | − | 1.22707i | ||||
\(714\) | −0.680844 | + | 1.17926i | −0.0254799 | + | 0.0441326i | ||||
\(715\) | 10.7287 | − | 0.774949i | 0.401230 | − | 0.0289814i | ||||
\(716\) | 13.5232 | + | 76.6941i | 0.505387 | + | 2.86619i | ||||
\(717\) | 4.60743 | − | 5.49092i | 0.172068 | − | 0.205062i | ||||
\(718\) | −24.1048 | − | 28.7270i | −0.899584 | − | 1.07208i | ||||
\(719\) | −2.96281 | + | 16.8029i | −0.110494 | + | 0.626644i | 0.878389 | + | 0.477947i | \(0.158619\pi\) |
−0.988883 | + | 0.148697i | \(0.952492\pi\) | |||||||
\(720\) | 2.91092 | + | 0.299203i | 0.108483 | + | 0.0111506i | ||||
\(721\) | −0.171914 | −0.00640242 | ||||||||
\(722\) | −43.4064 | + | 8.16607i | −1.61542 | + | 0.303910i | ||||
\(723\) | − | 30.2246i | − | 1.12407i | ||||||
\(724\) | −36.9949 | + | 13.4650i | −1.37491 | + | 0.500425i | ||||
\(725\) | −33.3445 | + | 17.9262i | −1.23838 | + | 0.665763i | ||||
\(726\) | −6.28445 | + | 5.27328i | −0.233238 | + | 0.195710i | ||||
\(727\) | −9.40083 | + | 11.2035i | −0.348657 | + | 0.415514i | −0.911663 | − | 0.410940i | \(-0.865201\pi\) |
0.563005 | + | 0.826453i | \(0.309645\pi\) | |||||||
\(728\) | 0.786883 | − | 0.138749i | 0.0291638 | − | 0.00514237i | ||||
\(729\) | 10.2145 | + | 17.6920i | 0.378314 | + | 0.655259i | ||||
\(730\) | 45.0379 | − | 30.5289i | 1.66693 | − | 1.12993i | ||||
\(731\) | −36.7676 | − | 13.3823i | −1.35990 | − | 0.494963i | ||||
\(732\) | −13.5224 | + | 37.1526i | −0.499804 | + | 1.37320i | ||||
\(733\) | −29.0344 | − | 16.7630i | −1.07241 | − | 0.619156i | −0.143570 | − | 0.989640i | \(-0.545858\pi\) |
−0.928839 | + | 0.370484i | \(0.879192\pi\) | |||||||
\(734\) | −37.4980 | − | 64.9485i | −1.38408 | − | 2.39729i | ||||
\(735\) | 17.2423 | + | 4.90138i | 0.635990 | + | 0.180790i | ||||
\(736\) | −25.9947 | − | 21.8121i | −0.958177 | − | 0.804006i | ||||
\(737\) | 10.8735 | + | 12.9585i | 0.400529 | + | 0.477332i | ||||
\(738\) | 0.720768 | + | 0.127091i | 0.0265318 | + | 0.00467828i | ||||
\(739\) | −14.2925 | + | 5.20205i | −0.525759 | + | 0.191361i | −0.591244 | − | 0.806493i | \(-0.701363\pi\) |
0.0654847 | + | 0.997854i | \(0.479141\pi\) | |||||||
\(740\) | 31.5193 | − | 65.0021i | 1.15867 | − | 2.38952i | ||||
\(741\) | 5.53567 | + | 6.52114i | 0.203358 | + | 0.239560i | ||||
\(742\) | 0.547396i | 0.0200955i | ||||||||
\(743\) | −2.27717 | − | 6.25647i | −0.0835412 | − | 0.229528i | 0.890888 | − | 0.454224i | \(-0.150083\pi\) |
−0.974429 | + | 0.224696i | \(0.927861\pi\) | |||||||
\(744\) | −3.15481 | + | 17.8918i | −0.115661 | + | 0.655945i | ||||
\(745\) | −9.09904 | + | 2.29082i | −0.333363 | + | 0.0839291i | ||||
\(746\) | −4.23887 | − | 3.55684i | −0.155196 | − | 0.130225i | ||||
\(747\) | −12.5728 | + | 2.21692i | −0.460014 | + | 0.0811129i | ||||
\(748\) | −29.5381 | + | 17.0538i | −1.08002 | + | 0.623549i | ||||
\(749\) | 0.293437 | − | 0.508247i | 0.0107219 | − | 0.0185709i | ||||
\(750\) | −3.95110 | + | 29.5890i | −0.144274 | + | 1.08044i | ||||
\(751\) | −7.34004 | − | 2.67155i | −0.267842 | − | 0.0974864i | 0.204608 | − | 0.978844i | \(-0.434408\pi\) |
−0.472450 | + | 0.881358i | \(0.656630\pi\) | |||||||
\(752\) | −2.47488 | − | 1.42887i | −0.0902496 | − | 0.0521056i | ||||
\(753\) | −10.6496 | + | 6.14855i | −0.388093 | + | 0.224066i | ||||
\(754\) | −5.22195 | − | 29.6151i | −0.190172 | − | 1.07852i | ||||
\(755\) | 2.61581 | + | 5.83913i | 0.0951990 | + | 0.212508i | ||||
\(756\) | 2.00890 | − | 1.68567i | 0.0730629 | − | 0.0613071i | ||||
\(757\) | 18.1053 | + | 3.19246i | 0.658049 | + | 0.116032i | 0.492695 | − | 0.870202i | \(-0.336012\pi\) |
0.165355 | + | 0.986234i | \(0.447123\pi\) | |||||||
\(758\) | −14.0898 | − | 38.7113i | −0.511764 | − | 1.40606i | ||||
\(759\) | 23.2645 | 0.844449 | ||||||||
\(760\) | 26.2272 | − | 17.9976i | 0.951360 | − | 0.652841i | ||||
\(761\) | 22.4779 | 0.814822 | 0.407411 | − | 0.913245i | \(-0.366432\pi\) | ||||
0.407411 | + | 0.913245i | \(0.366432\pi\) | |||||||
\(762\) | −7.45188 | − | 20.4739i | −0.269953 | − | 0.741690i | ||||
\(763\) | 2.28539 | + | 0.402976i | 0.0827366 | + | 0.0145887i | ||||
\(764\) | −19.0077 | + | 15.9494i | −0.687675 | + | 0.577028i | ||||
\(765\) | −12.2064 | + | 5.46823i | −0.441325 | + | 0.197704i | ||||
\(766\) | −4.30493 | − | 24.4145i | −0.155543 | − | 0.882131i | ||||
\(767\) | 7.94029 | − | 4.58433i | 0.286707 | − | 0.165531i | ||||
\(768\) | 20.5846 | + | 11.8846i | 0.742784 | + | 0.428847i | ||||
\(769\) | 5.18597 | + | 1.88754i | 0.187011 | + | 0.0680664i | 0.433828 | − | 0.900996i | \(-0.357162\pi\) |
−0.246817 | + | 0.969062i | \(0.579385\pi\) | |||||||
\(770\) | −1.46035 | − | 1.50531i | −0.0526274 | − | 0.0542477i | ||||
\(771\) | 7.76669 | − | 13.4523i | 0.279710 | − | 0.484473i | ||||
\(772\) | 77.1929 | − | 44.5673i | 2.77823 | − | 1.60401i | ||||
\(773\) | 32.6839 | − | 5.76305i | 1.17556 | − | 0.207283i | 0.448451 | − | 0.893807i | \(-0.351976\pi\) |
0.727106 | + | 0.686525i | \(0.240865\pi\) | |||||||
\(774\) | 32.9065 | + | 27.6118i | 1.18280 | + | 0.992487i | ||||
\(775\) | 23.7276 | + | 4.92983i | 0.852320 | + | 0.177085i | ||||
\(776\) | 4.98813 | − | 28.2891i | 0.179064 | − | 1.01552i | ||||
\(777\) | −0.534305 | − | 1.46799i | −0.0191681 | − | 0.0526639i | ||||
\(778\) | 52.8418i | 1.89447i | ||||||||
\(779\) | 0.704774 | − | 0.412287i | 0.0252512 | − | 0.0147717i | ||||
\(780\) | −13.4397 | − | 6.51687i | −0.481218 | − | 0.233341i | ||||
\(781\) | 1.43131 | − | 0.520953i | 0.0512162 | − | 0.0186412i | ||||
\(782\) | −58.6114 | − | 10.3348i | −2.09594 | − | 0.369571i | ||||
\(783\) | −26.1655 | − | 31.1829i | −0.935080 | − | 1.11439i | ||||
\(784\) | 4.16290 | + | 3.49309i | 0.148675 | + | 0.124753i | ||||
\(785\) | 24.7872 | + | 7.04615i | 0.884694 | + | 0.251488i | ||||
\(786\) | −3.49767 | − | 6.05813i | −0.124758 | − | 0.216086i | ||||
\(787\) | −42.1279 | − | 24.3225i | −1.50170 | − | 0.867005i | −0.999998 | − | 0.00196163i | \(-0.999376\pi\) |
−0.501698 | − | 0.865043i | \(-0.667291\pi\) | |||||||
\(788\) | −2.66390 | + | 7.31901i | −0.0948976 | + | 0.260729i | ||||
\(789\) | −7.05930 | − | 2.56938i | −0.251318 | − | 0.0914722i | ||||
\(790\) | −33.8579 | − | 49.9490i | −1.20461 | − | 1.77711i | ||||
\(791\) | 0.223440 | + | 0.387010i | 0.00794462 | + | 0.0137605i | ||||
\(792\) | 15.2092 | − | 2.68179i | 0.540435 | − | 0.0952932i | ||||
\(793\) | −11.1061 | + | 13.2357i | −0.394389 | + | 0.470015i | ||||
\(794\) | −36.3997 | + | 30.5430i | −1.29178 | + | 1.08393i | ||||
\(795\) | 2.47279 | − | 3.41996i | 0.0877008 | − | 0.121294i | ||||
\(796\) | 39.1728 | − | 14.2577i | 1.38844 | − | 0.505352i | ||||
\(797\) | 1.06027i | 0.0375567i | 0.999824 | + | 0.0187784i | \(0.00597769\pi\) | ||||
−0.999824 | + | 0.0187784i | \(0.994022\pi\) | |||||||
\(798\) | 0.280223 | − | 1.64409i | 0.00991980 | − | 0.0582000i | ||||
\(799\) | 13.0622 | 0.462106 | ||||||||
\(800\) | 12.4062 | − | 20.0582i | 0.438627 | − | 0.709166i | ||||
\(801\) | −0.422277 | + | 2.39485i | −0.0149204 | + | 0.0846179i | ||||
\(802\) | −24.9496 | − | 29.7337i | −0.881000 | − | 1.04993i | ||||
\(803\) | 18.9441 | − | 22.5767i | 0.668522 | − | 0.796714i | ||||
\(804\) | −4.07886 | − | 23.1324i | −0.143850 | − | 0.815815i | ||||
\(805\) | −0.166074 | − | 2.29919i | −0.00585332 | − | 0.0810357i | ||||
\(806\) | −9.62517 | + | 16.6713i | −0.339032 | + | 0.587221i | ||||
\(807\) | −5.66551 | + | 15.5659i | −0.199435 | + | 0.547944i | ||||
\(808\) | −3.21230 | + | 8.82571i | −0.113008 | + | 0.310487i | ||||
\(809\) | −6.80960 | + | 11.7946i | −0.239413 | + | 0.414675i | −0.960546 | − | 0.278121i | \(-0.910288\pi\) |
0.721133 | + | 0.692797i | \(0.243622\pi\) | |||||||
\(810\) | −5.87266 | + | 0.424191i | −0.206344 | + | 0.0149045i | ||||
\(811\) | 3.88880 | + | 22.0545i | 0.136554 | + | 0.774438i | 0.973765 | + | 0.227557i | \(0.0730738\pi\) |
−0.837210 | + | 0.546881i | \(0.815815\pi\) | |||||||
\(812\) | −2.37398 | + | 2.82920i | −0.0833105 | + | 0.0992856i | ||||
\(813\) | −1.61265 | − | 1.92188i | −0.0565580 | − | 0.0674032i | ||||
\(814\) | 10.7873 | − | 61.1779i | 0.378095 | − | 2.14429i | ||||
\(815\) | −4.32561 | + | 42.0835i | −0.151520 | + | 1.47412i | ||||
\(816\) | 3.18268 | 0.111416 | ||||||||
\(817\) | 47.9223 | − | 0.273738i | 1.67659 | − | 0.00957687i | ||||
\(818\) | − | 41.1100i | − | 1.43738i | ||||||
\(819\) | 0.386697 | − | 0.140746i | 0.0135123 | − | 0.00491807i | ||||
\(820\) | −0.835387 | + | 1.15537i | −0.0291730 | + | 0.0403474i | ||||
\(821\) | −4.22809 | + | 3.54778i | −0.147561 | + | 0.123819i | −0.713580 | − | 0.700574i | \(-0.752927\pi\) |
0.566019 | + | 0.824392i | \(0.308483\pi\) | |||||||
\(822\) | −21.1451 | + | 25.1997i | −0.737519 | + | 0.878941i | ||||
\(823\) | 22.0128 | − | 3.88144i | 0.767317 | − | 0.135299i | 0.223729 | − | 0.974651i | \(-0.428177\pi\) |
0.543587 | + | 0.839353i | \(0.317066\pi\) | |||||||
\(824\) | 1.95754 | + | 3.39055i | 0.0681941 | + | 0.118116i | ||||
\(825\) | 2.32377 | + | 16.0017i | 0.0809034 | + | 0.557107i | ||||
\(826\) | −1.67985 | − | 0.611417i | −0.0584496 | − | 0.0212739i | ||||
\(827\) | 1.53460 | − | 4.21627i | 0.0533632 | − | 0.146614i | −0.910147 | − | 0.414285i | \(-0.864032\pi\) |
0.963510 | + | 0.267671i | \(0.0862539\pi\) | |||||||
\(828\) | 35.6433 | + | 20.5787i | 1.23869 | + | 0.715158i | ||||
\(829\) | 13.5156 | + | 23.4097i | 0.469416 | + | 0.813052i | 0.999389 | − | 0.0349625i | \(-0.0111312\pi\) |
−0.529973 | + | 0.848015i | \(0.677798\pi\) | |||||||
\(830\) | 10.7959 | − | 37.9784i | 0.374733 | − | 1.31825i | ||||
\(831\) | 14.0555 | + | 11.7940i | 0.487579 | + | 0.409128i | ||||
\(832\) | 13.7525 | + | 16.3896i | 0.476782 | + | 0.568206i | ||||
\(833\) | −24.4616 | − | 4.31324i | −0.847544 | − | 0.149445i | ||||
\(834\) | 19.9559 | − | 7.26336i | 0.691017 | − | 0.251510i | ||||
\(835\) | −14.7015 | + | 30.3188i | −0.508767 | + | 1.04923i | ||||
\(836\) | 26.6693 | − | 32.1544i | 0.922375 | − | 1.11208i | ||||
\(837\) | 26.0578i | 0.900691i | ||||||||
\(838\) | 30.1600 | + | 82.8640i | 1.04186 | + | 2.86249i | ||||
\(839\) | 1.75648 | − | 9.96148i | 0.0606404 | − | 0.343909i | −0.939359 | − | 0.342935i | \(-0.888579\pi\) |
1.00000 | 0.000973662i | \(-0.000309926\pi\) | ||||||||
\(840\) | 0.293244 | + | 1.16475i | 0.0101179 | + | 0.0401878i | ||||
\(841\) | 21.7007 | + | 18.2091i | 0.748300 | + | 0.627898i | ||||
\(842\) | 26.5152 | − | 4.67534i | 0.913773 | − | 0.161123i | ||||
\(843\) | −14.1813 | + | 8.18759i | −0.488431 | + | 0.281996i | ||||
\(844\) | 5.11107 | − | 8.85264i | 0.175930 | − | 0.304720i | ||||
\(845\) | 15.6958 | + | 16.1791i | 0.539953 | + | 0.556578i | ||||
\(846\) | −13.4756 | − | 4.90473i | −0.463301 | − | 0.168628i | ||||
\(847\) | 0.381314 | + | 0.220152i | 0.0131021 | + | 0.00756450i | ||||
\(848\) | 1.10802 | − | 0.639714i | 0.0380495 | − | 0.0219679i | ||||
\(849\) | −1.40957 | − | 7.99405i | −0.0483762 | − | 0.274355i | ||||
\(850\) | 1.25402 | − | 41.3461i | 0.0430125 | − | 1.41816i | ||||
\(851\) | 52.3052 | − | 43.8893i | 1.79300 | − | 1.50450i | ||||
\(852\) | −2.08289 | − | 0.367270i | −0.0713586 | − | 0.0125825i | ||||
\(853\) | −9.44325 | − | 25.9451i | −0.323331 | − | 0.888344i | −0.989756 | − | 0.142772i | \(-0.954399\pi\) |
0.666425 | − | 0.745572i | \(-0.267824\pi\) | |||||||
\(854\) | 3.36879 | 0.115278 | ||||||||
\(855\) | 11.6928 | − | 11.4739i | 0.399885 | − | 0.392400i | ||||
\(856\) | −13.3651 | −0.456810 | ||||||||
\(857\) | −13.2079 | − | 36.2885i | −0.451175 | − | 1.23959i | −0.931898 | − | 0.362720i | \(-0.881848\pi\) |
0.480723 | − | 0.876872i | \(-0.340374\pi\) | |||||||
\(858\) | −12.6490 | − | 2.23036i | −0.431831 | − | 0.0761434i | ||||
\(859\) | −43.7965 | + | 36.7496i | −1.49432 | + | 1.25388i | −0.605307 | + | 0.795992i | \(0.706950\pi\) |
−0.889009 | + | 0.457889i | \(0.848606\pi\) | |||||||
\(860\) | −76.3681 | + | 34.2113i | −2.60413 | + | 1.16660i | ||||
\(861\) | 0.00535387 | + | 0.0303633i | 0.000182460 | + | 0.00103478i | ||||
\(862\) | −63.9986 | + | 36.9496i | −2.17980 | + | 1.25851i | ||||
\(863\) | 24.6314 | + | 14.2209i | 0.838463 | + | 0.484087i | 0.856741 | − | 0.515746i | \(-0.172485\pi\) |
−0.0182787 | + | 0.999833i | \(0.505819\pi\) | |||||||
\(864\) | 23.8302 | + | 8.67349i | 0.810720 | + | 0.295078i | ||||
\(865\) | −34.8189 | + | 33.7788i | −1.18388 | + | 1.14851i | ||||
\(866\) | −4.75209 | + | 8.23085i | −0.161482 | + | 0.279696i | ||||
\(867\) | 4.31151 | − | 2.48925i | 0.146427 | − | 0.0845395i | ||||
\(868\) | 2.32830 | − | 0.410541i | 0.0790275 | − | 0.0139347i | ||||
\(869\) | −25.0385 | − | 21.0098i | −0.849374 | − | 0.712710i | ||||
\(870\) | 43.8367 | − | 11.0365i | 1.48620 | − | 0.374174i | ||||
\(871\) | 1.78250 | − | 10.1091i | 0.0603977 | − | 0.342532i | ||||
\(872\) | −18.0754 | − | 49.6618i | −0.612111 | − | 1.68176i | ||||
\(873\) | − | 14.7943i | − | 0.500711i | ||||||
\(874\) | 71.7138 | − | 13.0679i | 2.42576 | − | 0.442028i | ||||
\(875\) | 1.56483 | − | 0.343882i | 0.0529008 | − | 0.0116253i | ||||
\(876\) | −38.4556 | + | 13.9967i | −1.29929 | + | 0.472905i | ||||
\(877\) | 13.1274 | + | 2.31472i | 0.443282 | + | 0.0781626i | 0.390834 | − | 0.920461i | \(-0.372187\pi\) |
0.0524480 | + | 0.998624i | \(0.483298\pi\) | |||||||
\(878\) | −17.5659 | − | 20.9342i | −0.592819 | − | 0.706494i | ||||
\(879\) | 0.859402 | + | 0.721124i | 0.0289869 | + | 0.0243229i | ||||
\(880\) | −1.34036 | + | 4.71517i | −0.0451836 | + | 0.158948i | ||||
\(881\) | 14.0692 | + | 24.3686i | 0.474004 | + | 0.820999i | 0.999557 | − | 0.0297621i | \(-0.00947498\pi\) |
−0.525553 | + | 0.850761i | \(0.676142\pi\) | |||||||
\(882\) | 23.6163 | + | 13.6349i | 0.795203 | + | 0.459111i | ||||
\(883\) | −12.1840 | + | 33.4754i | −0.410026 | + | 1.12654i | 0.547151 | + | 0.837034i | \(0.315712\pi\) |
−0.957177 | + | 0.289503i | \(0.906510\pi\) | |||||||
\(884\) | 19.4489 | + | 7.07883i | 0.654139 | + | 0.238087i | ||||
\(885\) | 7.73323 | + | 11.4085i | 0.259950 | + | 0.383492i | ||||
\(886\) | −9.16667 | − | 15.8771i | −0.307960 | − | 0.533403i | ||||
\(887\) | 58.2732 | − | 10.2751i | 1.95662 | − | 0.345005i | 0.958399 | − | 0.285433i | \(-0.0921374\pi\) |
0.998224 | − | 0.0595725i | \(-0.0189738\pi\) | |||||||
\(888\) | −22.8683 | + | 27.2533i | −0.767409 | + | 0.914562i | ||||
\(889\) | −0.895791 | + | 0.751658i | −0.0300439 | + | 0.0252098i | ||||
\(890\) | −6.09449 | − | 4.40659i | −0.204288 | − | 0.147709i | ||||
\(891\) | −2.99695 | + | 1.09080i | −0.100402 | + | 0.0365432i | ||||
\(892\) | − | 7.46685i | − | 0.250009i | ||||||
\(893\) | −15.0022 | + | 5.55760i | −0.502030 | + | 0.185978i | ||||
\(894\) | 11.2039 | 0.374715 | ||||||||
\(895\) | −50.8909 | − | 5.23089i | −1.70109 | − | 0.174849i | ||||
\(896\) | 0.489620 | − | 2.77677i | 0.0163570 | − | 0.0927654i | ||||
\(897\) | −9.07445 | − | 10.8145i | −0.302987 | − | 0.361086i | ||||
\(898\) | 1.73450 | − | 2.06710i | 0.0578811 | − | 0.0689800i | ||||
\(899\) | −6.37258 | − | 36.1407i | −0.212537 | − | 1.20536i | ||||
\(900\) | −10.5941 | + | 26.5715i | −0.353136 | + | 0.885716i | ||||
\(901\) | −2.92400 | + | 5.06452i | −0.0974126 | + | 0.168724i | ||||
\(902\) | −0.419329 | + | 1.15210i | −0.0139621 | + | 0.0383607i | ||||
\(903\) | −0.618918 | + | 1.70046i | −0.0205963 | + | 0.0565879i | ||||
\(904\) | 5.08850 | − | 8.81354i | 0.169241 | − | 0.293134i | ||||
\(905\) | −1.86322 | − | 25.7951i | −0.0619355 | − | 0.857459i | ||||
\(906\) | −1.32667 | − | 7.52390i | −0.0440755 | − | 0.249965i | ||||
\(907\) | 29.7254 | − | 35.4253i | 0.987016 | − | 1.17628i | 0.00267604 | − | 0.999996i | \(-0.499148\pi\) |
0.984340 | − | 0.176283i | \(-0.0564074\pi\) | |||||||
\(908\) | −14.0983 | − | 16.8017i | −0.467870 | − | 0.557585i | ||||
\(909\) | −0.839964 | + | 4.76367i | −0.0278598 | + | 0.158001i | ||||
\(910\) | −0.130128 | + | 1.26600i | −0.00431369 | + | 0.0419675i | ||||
\(911\) | 48.8276 | 1.61773 | 0.808866 | − | 0.587994i | \(-0.200082\pi\) | ||||
0.808866 | + | 0.587994i | \(0.200082\pi\) | |||||||
\(912\) | −3.65538 | + | 1.35415i | −0.121042 | + | 0.0448402i | ||||
\(913\) | − | 21.3865i | − | 0.707790i | ||||||
\(914\) | −84.5130 | + | 30.7602i | −2.79544 | + | 1.01746i | ||||
\(915\) | −21.0472 | − | 15.2181i | −0.695799 | − | 0.503094i | ||||
\(916\) | −4.02396 | + | 3.37650i | −0.132955 | + | 0.111563i | ||||
\(917\) | −0.241332 | + | 0.287608i | −0.00796948 | + | 0.00949766i | ||||
\(918\) | 43.8019 | − | 7.72346i | 1.44568 | − | 0.254912i | ||||
\(919\) | −4.80464 | − | 8.32189i | −0.158491 | − | 0.274514i | 0.775834 | − | 0.630937i | \(-0.217329\pi\) |
−0.934325 | + | 0.356423i | \(0.883996\pi\) | |||||||
\(920\) | −43.4544 | + | 29.4555i | −1.43265 | + | 0.971120i | ||||
\(921\) | 30.7248 | + | 11.1829i | 1.01242 | + | 0.368490i | ||||
\(922\) | 19.4787 | − | 53.5173i | 0.641496 | − | 1.76250i | ||||
\(923\) | −0.800454 | − | 0.462142i | −0.0263473 | − | 0.0152116i | ||||
\(924\) | 0.788722 | + | 1.36611i | 0.0259470 | + | 0.0449416i | ||||
\(925\) | 35.4122 | + | 31.5924i | 1.16435 | + | 1.03875i | ||||
\(926\) | 57.8481 | + | 48.5403i | 1.90100 | + | 1.59513i | ||||
\(927\) | 1.29609 | + | 1.54462i | 0.0425691 | + | 0.0507318i | ||||
\(928\) | −35.1722 | − | 6.20181i | −1.15459 | − | 0.203585i | ||||
\(929\) | 48.5984 | − | 17.6884i | 1.59446 | − | 0.580337i | 0.616179 | − | 0.787606i | \(-0.288680\pi\) |
0.978284 | + | 0.207269i | \(0.0664577\pi\) | |||||||
\(930\) | −26.0378 | − | 12.6256i | −0.853812 | − | 0.414011i | ||||
\(931\) | 29.9299 | − | 5.45391i | 0.980914 | − | 0.178745i | ||||
\(932\) | − | 69.6473i | − | 2.28137i | ||||||
\(933\) | 10.0355 | + | 27.5722i | 0.328546 | + | 0.902672i | ||||
\(934\) | 5.93470 | − | 33.6574i | 0.194189 | − | 1.10130i | ||||
\(935\) | −5.47032 | − | 21.7279i | −0.178899 | − | 0.710578i | ||||
\(936\) | −7.17905 | − | 6.02394i | −0.234655 | − | 0.196899i | ||||
\(937\) | −11.3148 | + | 1.99511i | −0.369639 | + | 0.0651773i | −0.355382 | − | 0.934721i | \(-0.615649\pi\) |
−0.0142567 | + | 0.999898i | \(0.504538\pi\) | |||||||
\(938\) | −1.73328 | + | 1.00071i | −0.0565937 | + | 0.0326744i | ||||
\(939\) | 8.58639 | − | 14.8721i | 0.280206 | − | 0.485331i | ||||
\(940\) | 20.0508 | − | 19.4519i | 0.653986 | − | 0.634451i | ||||
\(941\) | −24.8922 | − | 9.06002i | −0.811462 | − | 0.295348i | −0.0972346 | − | 0.995261i | \(-0.531000\pi\) |
−0.714228 | + | 0.699913i | \(0.753222\pi\) | |||||||
\(942\) | −26.6478 | − | 15.3851i | −0.868232 | − | 0.501274i | ||||
\(943\) | −1.16703 | + | 0.673785i | −0.0380037 | + | 0.0219414i | ||||
\(944\) | 0.725556 | + | 4.11483i | 0.0236148 | + | 0.133926i | ||||
\(945\) | 0.704301 | + | 1.57217i | 0.0229109 | + | 0.0511429i | ||||
\(946\) | −55.1241 | + | 46.2546i | −1.79224 | + | 1.50387i | ||||
\(947\) | −14.4785 | − | 2.55295i | −0.470487 | − | 0.0829596i | −0.0666224 | − | 0.997778i | \(-0.521222\pi\) |
−0.403865 | + | 0.914819i | \(0.632333\pi\) | |||||||
\(948\) | 15.5230 | + | 42.6490i | 0.504162 | + | 1.38517i | ||||
\(949\) | −17.8840 | −0.580539 | ||||||||
\(950\) | 16.1514 | + | 48.0205i | 0.524021 | + | 1.55799i | ||||
\(951\) | −25.8892 | −0.839513 | ||||||||
\(952\) | −0.569241 | − | 1.56398i | −0.0184492 | − | 0.0506888i | ||||
\(953\) | 5.76163 | + | 1.01593i | 0.186637 | + | 0.0329092i | 0.266186 | − | 0.963922i | \(-0.414237\pi\) |
−0.0795481 | + | 0.996831i | \(0.525348\pi\) | |||||||
\(954\) | 4.91824 | − | 4.12689i | 0.159234 | − | 0.133613i | ||||
\(955\) | −6.66393 | − | 14.8755i | −0.215640 | − | 0.481361i | ||||
\(956\) | 3.68871 | + | 20.9197i | 0.119301 | + | 0.676591i | ||||
\(957\) | 21.2052 | − | 12.2428i | 0.685467 | − | 0.395755i | ||||
\(958\) | 26.6135 | + | 15.3653i | 0.859843 | + | 0.496431i | ||||
\(959\) | 1.65908 | + | 0.603855i | 0.0535744 | + | 0.0194995i | ||||
\(960\) | −23.0837 | + | 22.3942i | −0.745022 | + | 0.722768i | ||||
\(961\) | 3.75397 | − | 6.50206i | 0.121096 | − | 0.209744i | ||||
\(962\) | −32.6462 | + | 18.8483i | −1.05256 | + | 0.607693i | ||||
\(963\) | −6.77876 | + | 1.19528i | −0.218442 | + | 0.0385173i | ||||
\(964\) | 68.6163 | + | 57.5759i | 2.20998 | + | 1.85440i | ||||
\(965\) | 14.2958 | + | 56.7823i | 0.460198 | + | 1.82789i | ||||
\(966\) | −0.477973 | + | 2.71072i | −0.0153785 | + | 0.0872159i | ||||
\(967\) | −8.23258 | − | 22.6188i | −0.264742 | − | 0.727373i | −0.998832 | − | 0.0483204i | \(-0.984613\pi\) |
0.734090 | − | 0.679052i | \(-0.237609\pi\) | |||||||
\(968\) | − | 10.0272i | − | 0.322287i | ||||||
\(969\) | 11.3748 | − | 13.7143i | 0.365411 | − | 0.440566i | ||||
\(970\) | 41.1689 | + | 19.9627i | 1.32185 | + | 0.640963i | ||||
\(971\) | −49.4859 | + | 18.0114i | −1.58808 | + | 0.578013i | −0.976941 | − | 0.213511i | \(-0.931510\pi\) |
−0.611137 | + | 0.791524i | \(0.709288\pi\) | |||||||
\(972\) | −49.7047 | − | 8.76428i | −1.59428 | − | 0.281114i | ||||
\(973\) | −0.732643 | − | 0.873130i | −0.0234875 | − | 0.0279913i | ||||
\(974\) | −17.2035 | − | 14.4354i | −0.551234 | − | 0.462540i | ||||
\(975\) | 6.53198 | − | 7.32175i | 0.209191 | − | 0.234484i | ||||
\(976\) | −3.93694 | − | 6.81899i | −0.126018 | − | 0.218270i | ||||
\(977\) | −5.63672 | − | 3.25436i | −0.180335 | − | 0.104116i | 0.407115 | − | 0.913377i | \(-0.366535\pi\) |
−0.587450 | + | 0.809261i | \(0.699868\pi\) | |||||||
\(978\) | 17.2772 | − | 47.4688i | 0.552465 | − | 1.51789i | ||||
\(979\) | −3.82801 | − | 1.39328i | −0.122344 | − | 0.0445294i | ||||
\(980\) | −43.9725 | + | 29.8068i | −1.40465 | + | 0.952142i | ||||
\(981\) | −13.6092 | − | 23.5718i | −0.434509 | − | 0.752591i | ||||
\(982\) | 6.14987 | − | 1.08439i | 0.196250 | − | 0.0346042i | ||||
\(983\) | 0.803066 | − | 0.957057i | 0.0256138 | − | 0.0305254i | −0.753085 | − | 0.657923i | \(-0.771435\pi\) |
0.778699 | + | 0.627397i | \(0.215880\pi\) | |||||||
\(984\) | 0.537873 | − | 0.451329i | 0.0171468 | − | 0.0143879i | ||||
\(985\) | −4.14627 | − | 2.99794i | −0.132111 | − | 0.0955223i | ||||
\(986\) | −58.8619 | + | 21.4240i | −1.87454 | + | 0.682278i | ||||
\(987\) | − | 0.604111i | − | 0.0192291i | ||||||
\(988\) | −25.3494 | + | 0.144799i | −0.806473 | + | 0.00460666i | ||||
\(989\) | −79.0924 | −2.51499 | ||||||||
\(990\) | −2.51516 | + | 24.4697i | −0.0799369 | + | 0.777699i | ||||
\(991\) | 6.52844 | − | 37.0246i | 0.207383 | − | 1.17613i | −0.686264 | − | 0.727353i | \(-0.740750\pi\) |
0.893646 | − | 0.448772i | \(-0.148139\pi\) | |||||||
\(992\) | 14.6958 | + | 17.5137i | 0.466591 | + | 0.556062i | ||||
\(993\) | 8.02384 | − | 9.56244i | 0.254629 | − | 0.303455i | ||||
\(994\) | 0.0312936 | + | 0.177475i | 0.000992573 | + | 0.00562916i | ||||
\(995\) | 1.97291 | + | 27.3137i | 0.0625454 | + | 0.865903i | ||||
\(996\) | −14.8483 | + | 25.7181i | −0.470487 | + | 0.814908i | ||||
\(997\) | −10.2369 | + | 28.1257i | −0.324207 | + | 0.890751i | 0.665340 | + | 0.746540i | \(0.268287\pi\) |
−0.989547 | + | 0.144211i | \(0.953936\pi\) | |||||||
\(998\) | 1.87275 | − | 5.14533i | 0.0592808 | − | 0.162873i | ||||
\(999\) | −25.5136 | + | 44.1909i | −0.807215 | + | 1.39814i |
(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 | 95.2.p.a.24.7 | yes | 48 | |
3.2 | odd | 2 | 855.2.da.b.784.2 | 48 | |||
5.2 | odd | 4 | 475.2.l.f.176.2 | 48 | |||
5.3 | odd | 4 | 475.2.l.f.176.7 | 48 | |||
5.4 | even | 2 | inner | 95.2.p.a.24.2 | yes | 48 | |
15.14 | odd | 2 | 855.2.da.b.784.7 | 48 | |||
19.2 | odd | 18 | 1805.2.b.l.1084.22 | 24 | |||
19.4 | even | 9 | inner | 95.2.p.a.4.2 | ✓ | 48 | |
19.17 | even | 9 | 1805.2.b.k.1084.3 | 24 | |||
57.23 | odd | 18 | 855.2.da.b.289.7 | 48 | |||
95.2 | even | 36 | 9025.2.a.ct.1.3 | 24 | |||
95.4 | even | 18 | inner | 95.2.p.a.4.7 | yes | 48 | |
95.17 | odd | 36 | 9025.2.a.cu.1.22 | 24 | |||
95.23 | odd | 36 | 475.2.l.f.251.7 | 48 | |||
95.42 | odd | 36 | 475.2.l.f.251.2 | 48 | |||
95.59 | odd | 18 | 1805.2.b.l.1084.3 | 24 | |||
95.74 | even | 18 | 1805.2.b.k.1084.22 | 24 | |||
95.78 | even | 36 | 9025.2.a.ct.1.22 | 24 | |||
95.93 | odd | 36 | 9025.2.a.cu.1.3 | 24 | |||
285.194 | odd | 18 | 855.2.da.b.289.2 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
95.2.p.a.4.2 | ✓ | 48 | 19.4 | even | 9 | inner | |
95.2.p.a.4.7 | yes | 48 | 95.4 | even | 18 | inner | |
95.2.p.a.24.2 | yes | 48 | 5.4 | even | 2 | inner | |
95.2.p.a.24.7 | yes | 48 | 1.1 | even | 1 | trivial | |
475.2.l.f.176.2 | 48 | 5.2 | odd | 4 | |||
475.2.l.f.176.7 | 48 | 5.3 | odd | 4 | |||
475.2.l.f.251.2 | 48 | 95.42 | odd | 36 | |||
475.2.l.f.251.7 | 48 | 95.23 | odd | 36 | |||
855.2.da.b.289.2 | 48 | 285.194 | odd | 18 | |||
855.2.da.b.289.7 | 48 | 57.23 | odd | 18 | |||
855.2.da.b.784.2 | 48 | 3.2 | odd | 2 | |||
855.2.da.b.784.7 | 48 | 15.14 | odd | 2 | |||
1805.2.b.k.1084.3 | 24 | 19.17 | even | 9 | |||
1805.2.b.k.1084.22 | 24 | 95.74 | even | 18 | |||
1805.2.b.l.1084.3 | 24 | 95.59 | odd | 18 | |||
1805.2.b.l.1084.22 | 24 | 19.2 | odd | 18 | |||
9025.2.a.ct.1.3 | 24 | 95.2 | even | 36 | |||
9025.2.a.ct.1.22 | 24 | 95.78 | even | 36 | |||
9025.2.a.cu.1.3 | 24 | 95.93 | odd | 36 | |||
9025.2.a.cu.1.22 | 24 | 95.17 | odd | 36 |