Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(34,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.34");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.r (of order \(22\), degree \(10\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 181.18 | ||
Character | \(\chi\) | \(=\) | 483.181 |
Dual form | 483.2.r.a.475.18 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0271614 | + | 0.188911i | 0.0192060 | + | 0.133581i | 0.997168 | − | 0.0752002i | \(-0.0239596\pi\) |
−0.977962 | + | 0.208781i | \(0.933050\pi\) | |||||||
\(3\) | 0.909632 | + | 0.415415i | 0.525176 | + | 0.239840i | ||||
\(4\) | 1.88404 | − | 0.553203i | 0.942018 | − | 0.276601i | ||||
\(5\) | −1.98963 | + | 2.29616i | −0.889790 | + | 1.02687i | 0.109669 | + | 0.993968i | \(0.465021\pi\) |
−0.999459 | + | 0.0329041i | \(0.989524\pi\) | |||||||
\(6\) | −0.0537698 | + | 0.183123i | −0.0219514 | + | 0.0747597i | ||||
\(7\) | 0.170237 | − | 2.64027i | 0.0643436 | − | 0.997928i | ||||
\(8\) | 0.314247 | + | 0.688104i | 0.111103 | + | 0.243282i | ||||
\(9\) | 0.654861 | + | 0.755750i | 0.218287 | + | 0.251917i | ||||
\(10\) | −0.487811 | − | 0.313497i | −0.154259 | − | 0.0991365i | ||||
\(11\) | 3.07921 | + | 0.442724i | 0.928418 | + | 0.133486i | 0.589902 | − | 0.807475i | \(-0.299166\pi\) |
0.338515 | + | 0.940961i | \(0.390075\pi\) | |||||||
\(12\) | 1.94359 | + | 0.279446i | 0.561066 | + | 0.0806691i | ||||
\(13\) | −1.29479 | + | 2.01474i | −0.359111 | + | 0.558788i | −0.973058 | − | 0.230559i | \(-0.925944\pi\) |
0.613947 | + | 0.789347i | \(0.289581\pi\) | |||||||
\(14\) | 0.503401 | − | 0.0395536i | 0.134540 | − | 0.0105711i | ||||
\(15\) | −2.76369 | + | 1.26213i | −0.713582 | + | 0.325882i | ||||
\(16\) | 3.18227 | − | 2.04512i | 0.795568 | − | 0.511281i | ||||
\(17\) | 6.24490 | + | 1.83367i | 1.51461 | + | 0.444730i | 0.930300 | − | 0.366800i | \(-0.119547\pi\) |
0.584311 | + | 0.811530i | \(0.301365\pi\) | |||||||
\(18\) | −0.124983 | + | 0.144238i | −0.0294587 | + | 0.0339972i | ||||
\(19\) | 1.82387 | − | 0.535536i | 0.418424 | − | 0.122860i | −0.0657418 | − | 0.997837i | \(-0.520941\pi\) |
0.484166 | + | 0.874976i | \(0.339123\pi\) | |||||||
\(20\) | −2.47830 | + | 5.42671i | −0.554164 | + | 1.21345i | ||||
\(21\) | 1.25166 | − | 2.33095i | 0.273135 | − | 0.508656i | ||||
\(22\) | 0.593724i | 0.126582i | ||||||||
\(23\) | −0.644774 | + | 4.75229i | −0.134445 | + | 0.990921i | ||||
\(24\) | 0.756464i | 0.154413i | ||||||||
\(25\) | −0.602129 | − | 4.18790i | −0.120426 | − | 0.837580i | ||||
\(26\) | −0.415776 | − | 0.189878i | −0.0815403 | − | 0.0372382i | ||||
\(27\) | 0.281733 | + | 0.959493i | 0.0542195 | + | 0.184655i | ||||
\(28\) | −1.13987 | − | 5.06854i | −0.215415 | − | 0.957864i | ||||
\(29\) | −5.49276 | − | 1.61282i | −1.01998 | − | 0.299493i | −0.271350 | − | 0.962481i | \(-0.587470\pi\) |
−0.748631 | + | 0.662987i | \(0.769288\pi\) | |||||||
\(30\) | −0.313497 | − | 0.487811i | −0.0572365 | − | 0.0890617i | ||||
\(31\) | −7.97823 | + | 3.64354i | −1.43293 | + | 0.654399i | −0.972416 | − | 0.233252i | \(-0.925063\pi\) |
−0.460517 | + | 0.887651i | \(0.652336\pi\) | |||||||
\(32\) | 1.46354 | + | 1.68901i | 0.258720 | + | 0.298578i | ||||
\(33\) | 2.61704 | + | 1.68187i | 0.455568 | + | 0.292776i | ||||
\(34\) | −0.176781 | + | 1.22954i | −0.0303177 | + | 0.210864i | ||||
\(35\) | 5.72376 | + | 5.64405i | 0.967492 | + | 0.954019i | ||||
\(36\) | 1.65186 | + | 1.06159i | 0.275311 | + | 0.176931i | ||||
\(37\) | 6.32267 | − | 5.47863i | 1.03944 | − | 0.900681i | 0.0442878 | − | 0.999019i | \(-0.485898\pi\) |
0.995153 | + | 0.0983382i | \(0.0313527\pi\) | |||||||
\(38\) | 0.150708 | + | 0.330003i | 0.0244480 | + | 0.0535336i | ||||
\(39\) | −2.01474 | + | 1.29479i | −0.322616 | + | 0.207333i | ||||
\(40\) | −2.20523 | − | 0.647514i | −0.348677 | − | 0.102381i | ||||
\(41\) | −4.97801 | − | 4.31347i | −0.777434 | − | 0.673650i | 0.172880 | − | 0.984943i | \(-0.444693\pi\) |
−0.950314 | + | 0.311292i | \(0.899238\pi\) | |||||||
\(42\) | 0.474341 | + | 0.173141i | 0.0731924 | + | 0.0267162i | ||||
\(43\) | −2.26776 | − | 1.03565i | −0.345831 | − | 0.157936i | 0.234925 | − | 0.972014i | \(-0.424516\pi\) |
−0.580756 | + | 0.814078i | \(0.697243\pi\) | |||||||
\(44\) | 6.04627 | − | 0.869322i | 0.911509 | − | 0.131055i | ||||
\(45\) | −3.03825 | −0.452916 | ||||||||
\(46\) | −0.915275 | + | 0.00727351i | −0.134950 | + | 0.00107242i | ||||
\(47\) | − | 4.70188i | − | 0.685840i | −0.939365 | − | 0.342920i | \(-0.888584\pi\) | ||
0.939365 | − | 0.342920i | \(-0.111416\pi\) | |||||||
\(48\) | 3.74427 | − | 0.538345i | 0.540439 | − | 0.0777034i | ||||
\(49\) | −6.94204 | − | 0.898944i | −0.991720 | − | 0.128421i | ||||
\(50\) | 0.774787 | − | 0.227498i | 0.109571 | − | 0.0321731i | ||||
\(51\) | 4.91883 | + | 4.26219i | 0.688773 | + | 0.596826i | ||||
\(52\) | −1.32488 | + | 4.51212i | −0.183728 | + | 0.625719i | ||||
\(53\) | −4.94290 | − | 7.69131i | −0.678960 | − | 1.05648i | −0.994208 | − | 0.107473i | \(-0.965724\pi\) |
0.315248 | − | 0.949009i | \(-0.397912\pi\) | |||||||
\(54\) | −0.173607 | + | 0.0792836i | −0.0236249 | + | 0.0107891i | ||||
\(55\) | −7.14306 | + | 6.18950i | −0.963170 | + | 0.834592i | ||||
\(56\) | 1.87028 | − | 0.712555i | 0.249926 | − | 0.0952191i | ||||
\(57\) | 1.88152 | + | 0.270521i | 0.249213 | + | 0.0358314i | ||||
\(58\) | 0.155489 | − | 1.08145i | 0.0204168 | − | 0.142002i | ||||
\(59\) | 1.62895 | − | 2.53469i | 0.212071 | − | 0.329989i | −0.718879 | − | 0.695135i | \(-0.755345\pi\) |
0.930950 | + | 0.365146i | \(0.118981\pi\) | |||||||
\(60\) | −4.50867 | + | 3.90679i | −0.582067 | + | 0.504364i | ||||
\(61\) | −0.0813133 | − | 0.178051i | −0.0104111 | − | 0.0227971i | 0.904355 | − | 0.426781i | \(-0.140352\pi\) |
−0.914766 | + | 0.403984i | \(0.867625\pi\) | |||||||
\(62\) | −0.905006 | − | 1.40822i | −0.114936 | − | 0.178844i | ||||
\(63\) | 2.10686 | − | 1.60035i | 0.265440 | − | 0.201625i | ||||
\(64\) | 4.67506 | − | 5.39531i | 0.584382 | − | 0.674413i | ||||
\(65\) | −2.04999 | − | 6.98164i | −0.254270 | − | 0.865965i | ||||
\(66\) | −0.246642 | + | 0.540070i | −0.0303595 | + | 0.0664780i | ||||
\(67\) | 12.0444 | − | 1.73172i | 1.47146 | − | 0.211563i | 0.640524 | − | 0.767938i | \(-0.278717\pi\) |
0.830932 | + | 0.556374i | \(0.187808\pi\) | |||||||
\(68\) | 12.7800 | 1.54980 | ||||||||
\(69\) | −2.56068 | + | 4.05499i | −0.308270 | + | 0.488163i | ||||
\(70\) | −0.910761 | + | 1.23458i | −0.108857 | + | 0.147561i | ||||
\(71\) | 1.06927 | + | 7.43690i | 0.126898 | + | 0.882598i | 0.949452 | + | 0.313911i | \(0.101639\pi\) |
−0.822554 | + | 0.568687i | \(0.807452\pi\) | |||||||
\(72\) | −0.314247 | + | 0.688104i | −0.0370343 | + | 0.0810938i | ||||
\(73\) | −0.328156 | − | 1.11760i | −0.0384077 | − | 0.130805i | 0.938057 | − | 0.346480i | \(-0.112623\pi\) |
−0.976465 | + | 0.215675i | \(0.930805\pi\) | |||||||
\(74\) | 1.20671 | + | 1.04562i | 0.140277 | + | 0.121551i | ||||
\(75\) | 1.19200 | − | 4.05958i | 0.137640 | − | 0.468760i | ||||
\(76\) | 3.13997 | − | 2.01794i | 0.360179 | − | 0.231473i | ||||
\(77\) | 1.69311 | − | 8.05458i | 0.192947 | − | 0.917905i | ||||
\(78\) | −0.299324 | − | 0.345439i | −0.0338918 | − | 0.0391132i | ||||
\(79\) | −8.23775 | + | 12.8182i | −0.926819 | + | 1.44216i | −0.0301065 | + | 0.999547i | \(0.509585\pi\) |
−0.896713 | + | 0.442613i | \(0.854052\pi\) | |||||||
\(80\) | −1.63563 | + | 11.3760i | −0.182869 | + | 1.27188i | ||||
\(81\) | −0.142315 | + | 0.989821i | −0.0158128 | + | 0.109980i | ||||
\(82\) | 0.679654 | − | 1.05756i | 0.0750552 | − | 0.116788i | ||||
\(83\) | −7.53178 | − | 8.69214i | −0.826721 | − | 0.954087i | 0.172803 | − | 0.984956i | \(-0.444718\pi\) |
−0.999523 | + | 0.0308699i | \(0.990172\pi\) | |||||||
\(84\) | 1.06868 | − | 5.08402i | 0.116603 | − | 0.554712i | ||||
\(85\) | −16.6354 | + | 10.6909i | −1.80437 | + | 1.15960i | ||||
\(86\) | 0.134051 | − | 0.456536i | 0.0144551 | − | 0.0492296i | ||||
\(87\) | −4.32640 | − | 3.74885i | −0.463839 | − | 0.401919i | ||||
\(88\) | 0.662992 | + | 2.25794i | 0.0706752 | + | 0.240698i | ||||
\(89\) | 2.14463 | − | 4.69608i | 0.227330 | − | 0.497784i | −0.761254 | − | 0.648454i | \(-0.775416\pi\) |
0.988584 | + | 0.150670i | \(0.0481432\pi\) | |||||||
\(90\) | −0.0825230 | − | 0.573960i | −0.00869869 | − | 0.0605007i | ||||
\(91\) | 5.09903 | + | 3.76159i | 0.534524 | + | 0.394322i | ||||
\(92\) | 1.41420 | + | 9.31018i | 0.147441 | + | 0.970653i | ||||
\(93\) | −8.77084 | −0.909494 | ||||||||
\(94\) | 0.888240 | − | 0.127710i | 0.0916149 | − | 0.0131722i | ||||
\(95\) | −2.39915 | + | 5.25340i | −0.246147 | + | 0.538988i | ||||
\(96\) | 0.629640 | + | 2.14436i | 0.0642624 | + | 0.218858i | ||||
\(97\) | 8.54184 | − | 9.85781i | 0.867293 | − | 1.00091i | −0.132660 | − | 0.991162i | \(-0.542352\pi\) |
0.999952 | − | 0.00974770i | \(-0.00310284\pi\) | |||||||
\(98\) | −0.0187345 | − | 1.33585i | −0.00189247 | − | 0.134941i | ||||
\(99\) | 1.68187 | + | 2.61704i | 0.169034 | + | 0.263022i | ||||
\(100\) | −3.45119 | − | 7.55705i | −0.345119 | − | 0.755705i | ||||
\(101\) | −6.94547 | + | 6.01829i | −0.691101 | + | 0.598842i | −0.927950 | − | 0.372704i | \(-0.878431\pi\) |
0.236850 | + | 0.971546i | \(0.423885\pi\) | |||||||
\(102\) | −0.671574 | + | 1.04499i | −0.0664957 | + | 0.103469i | ||||
\(103\) | 2.44672 | − | 17.0173i | 0.241082 | − | 1.67676i | −0.405636 | − | 0.914035i | \(-0.632950\pi\) |
0.646718 | − | 0.762729i | \(-0.276141\pi\) | |||||||
\(104\) | −1.79323 | − | 0.257828i | −0.175841 | − | 0.0252821i | ||||
\(105\) | 2.86189 | + | 7.51175i | 0.279292 | + | 0.733071i | ||||
\(106\) | 1.31872 | − | 1.14268i | 0.128085 | − | 0.110987i | ||||
\(107\) | −17.1449 | + | 7.82982i | −1.65746 | + | 0.756937i | −0.657468 | + | 0.753483i | \(0.728372\pi\) |
−0.999994 | + | 0.00345449i | \(0.998900\pi\) | |||||||
\(108\) | 1.06159 | + | 1.65186i | 0.102151 | + | 0.158951i | ||||
\(109\) | 3.78640 | − | 12.8953i | 0.362671 | − | 1.23514i | −0.552989 | − | 0.833189i | \(-0.686513\pi\) |
0.915659 | − | 0.401955i | \(-0.131669\pi\) | |||||||
\(110\) | −1.36328 | − | 1.18129i | −0.129984 | − | 0.112632i | ||||
\(111\) | 8.02721 | − | 2.35700i | 0.761909 | − | 0.223717i | ||||
\(112\) | −4.85793 | − | 8.75021i | −0.459031 | − | 0.826817i | ||||
\(113\) | 1.56418 | − | 0.224895i | 0.147146 | − | 0.0211564i | −0.0683483 | − | 0.997662i | \(-0.521773\pi\) |
0.215494 | + | 0.976505i | \(0.430864\pi\) | |||||||
\(114\) | 0.362788i | 0.0339782i | ||||||||
\(115\) | −9.62914 | − | 10.9358i | −0.897922 | − | 1.01977i | ||||
\(116\) | −11.2408 | −1.04368 | ||||||||
\(117\) | −2.37055 | + | 0.340833i | −0.219157 | + | 0.0315100i | ||||
\(118\) | 0.523077 | + | 0.238881i | 0.0481531 | + | 0.0219908i | ||||
\(119\) | 5.90449 | − | 16.1761i | 0.541264 | − | 1.48286i | ||||
\(120\) | −1.73696 | − | 1.50508i | −0.158562 | − | 0.137395i | ||||
\(121\) | −1.26887 | − | 0.372575i | −0.115352 | − | 0.0338704i | ||||
\(122\) | 0.0314274 | − | 0.0201971i | 0.00284530 | − | 0.00182856i | ||||
\(123\) | −2.73627 | − | 5.99161i | −0.246722 | − | 0.540245i | ||||
\(124\) | −13.0157 | + | 11.2781i | −1.16884 | + | 1.01281i | ||||
\(125\) | −1.96561 | − | 1.26322i | −0.175809 | − | 0.112986i | ||||
\(126\) | 0.359550 | + | 0.354543i | 0.0320313 | + | 0.0315852i | ||||
\(127\) | −0.0684842 | + | 0.476318i | −0.00607699 | + | 0.0422664i | −0.992634 | − | 0.121149i | \(-0.961342\pi\) |
0.986557 | + | 0.163416i | \(0.0522511\pi\) | |||||||
\(128\) | 4.90643 | + | 3.15317i | 0.433671 | + | 0.278703i | ||||
\(129\) | −1.63260 | − | 1.88413i | −0.143743 | − | 0.165888i | ||||
\(130\) | 1.26323 | − | 0.576898i | 0.110793 | − | 0.0505973i | ||||
\(131\) | −4.45815 | − | 6.93701i | −0.389510 | − | 0.606089i | 0.590020 | − | 0.807389i | \(-0.299120\pi\) |
−0.979530 | + | 0.201299i | \(0.935484\pi\) | |||||||
\(132\) | 5.86101 | + | 1.72095i | 0.510135 | + | 0.149789i | ||||
\(133\) | −1.10347 | − | 4.90667i | −0.0956828 | − | 0.425462i | ||||
\(134\) | 0.654284 | + | 2.22829i | 0.0565215 | + | 0.192495i | ||||
\(135\) | −2.76369 | − | 1.26213i | −0.237861 | − | 0.108627i | ||||
\(136\) | 0.700684 | + | 4.87336i | 0.0600832 | + | 0.417888i | ||||
\(137\) | 6.38459i | 0.545473i | 0.962089 | + | 0.272736i | \(0.0879287\pi\) | ||||
−0.962089 | + | 0.272736i | \(0.912071\pi\) | |||||||
\(138\) | −0.835585 | − | 0.373603i | −0.0711297 | − | 0.0318032i | ||||
\(139\) | 8.48730i | 0.719883i | 0.932975 | + | 0.359942i | \(0.117203\pi\) | ||||
−0.932975 | + | 0.359942i | \(0.882797\pi\) | |||||||
\(140\) | 13.9061 | + | 7.46720i | 1.17528 | + | 0.631093i | ||||
\(141\) | 1.95323 | − | 4.27698i | 0.164492 | − | 0.360187i | ||||
\(142\) | −1.37587 | + | 0.403993i | −0.115461 | + | 0.0339023i | ||||
\(143\) | −4.87892 | + | 5.63057i | −0.407996 | + | 0.470852i | ||||
\(144\) | 3.62955 | + | 1.06573i | 0.302462 | + | 0.0888109i | ||||
\(145\) | 14.6319 | − | 9.40333i | 1.21511 | − | 0.780904i | ||||
\(146\) | 0.202213 | − | 0.0923478i | 0.0167353 | − | 0.00764276i | ||||
\(147\) | −5.94127 | − | 3.70153i | −0.490027 | − | 0.305297i | ||||
\(148\) | 8.88135 | − | 13.8197i | 0.730042 | − | 1.13597i | ||||
\(149\) | −4.72606 | − | 0.679504i | −0.387174 | − | 0.0556672i | −0.0540203 | − | 0.998540i | \(-0.517204\pi\) |
−0.333153 | + | 0.942873i | \(0.608113\pi\) | |||||||
\(150\) | 0.799278 | + | 0.114919i | 0.0652607 | + | 0.00938308i | ||||
\(151\) | −0.921173 | − | 0.592002i | −0.0749640 | − | 0.0481764i | 0.502622 | − | 0.864506i | \(-0.332369\pi\) |
−0.577586 | + | 0.816330i | \(0.696005\pi\) | |||||||
\(152\) | 0.941648 | + | 1.08672i | 0.0763778 | + | 0.0881447i | ||||
\(153\) | 2.70375 | + | 5.92038i | 0.218585 | + | 0.478634i | ||||
\(154\) | 1.56759 | + | 0.101074i | 0.126320 | + | 0.00814476i | ||||
\(155\) | 7.50761 | − | 25.5686i | 0.603026 | − | 2.05372i | ||||
\(156\) | −3.07956 | + | 3.55400i | −0.246562 | + | 0.284548i | ||||
\(157\) | −15.2897 | + | 4.48946i | −1.22025 | + | 0.358298i | −0.827562 | − | 0.561374i | \(-0.810273\pi\) |
−0.392688 | + | 0.919672i | \(0.628455\pi\) | |||||||
\(158\) | −2.64525 | − | 1.20805i | −0.210445 | − | 0.0961070i | ||||
\(159\) | −1.30114 | − | 9.04962i | −0.103187 | − | 0.717681i | ||||
\(160\) | −6.79014 | −0.536808 | ||||||||
\(161\) | 12.4376 | + | 2.51139i | 0.980217 | + | 0.197926i | ||||
\(162\) | −0.190854 | −0.0149949 | ||||||||
\(163\) | −2.47568 | − | 17.2187i | −0.193910 | − | 1.34867i | −0.821535 | − | 0.570158i | \(-0.806882\pi\) |
0.627625 | − | 0.778516i | \(-0.284027\pi\) | |||||||
\(164\) | −11.7650 | − | 5.37288i | −0.918690 | − | 0.419551i | ||||
\(165\) | −9.06877 | + | 2.66283i | −0.706003 | + | 0.207301i | ||||
\(166\) | 1.43747 | − | 1.65893i | 0.111569 | − | 0.128758i | ||||
\(167\) | −3.48135 | + | 11.8564i | −0.269395 | + | 0.917474i | 0.708029 | + | 0.706184i | \(0.249585\pi\) |
−0.977423 | + | 0.211290i | \(0.932233\pi\) | |||||||
\(168\) | 1.99727 | + | 0.128778i | 0.154093 | + | 0.00993546i | ||||
\(169\) | 3.01771 | + | 6.60787i | 0.232132 | + | 0.508298i | ||||
\(170\) | −2.47148 | − | 2.85224i | −0.189554 | − | 0.218757i | ||||
\(171\) | 1.59911 | + | 1.02769i | 0.122287 | + | 0.0785891i | ||||
\(172\) | −4.84548 | − | 0.696674i | −0.369464 | − | 0.0531209i | ||||
\(173\) | 5.45178 | + | 0.783848i | 0.414492 | + | 0.0595949i | 0.346406 | − | 0.938085i | \(-0.387402\pi\) |
0.0680853 | + | 0.997680i | \(0.478311\pi\) | |||||||
\(174\) | 0.590690 | − | 0.919131i | 0.0447801 | − | 0.0696791i | ||||
\(175\) | −11.1597 | + | 0.876847i | −0.843593 | + | 0.0662834i | ||||
\(176\) | 10.7043 | − | 4.88850i | 0.806869 | − | 0.368485i | ||||
\(177\) | 2.53469 | − | 1.62895i | 0.190519 | − | 0.122439i | ||||
\(178\) | 0.945395 | + | 0.277593i | 0.0708603 | + | 0.0208065i | ||||
\(179\) | −6.29324 | + | 7.26278i | −0.470379 | + | 0.542846i | −0.940517 | − | 0.339747i | \(-0.889659\pi\) |
0.470138 | + | 0.882593i | \(0.344204\pi\) | |||||||
\(180\) | −5.72417 | + | 1.68077i | −0.426655 | + | 0.125277i | ||||
\(181\) | −0.371494 | + | 0.813459i | −0.0276129 | + | 0.0604639i | −0.922936 | − | 0.384954i | \(-0.874217\pi\) |
0.895323 | + | 0.445417i | \(0.146945\pi\) | |||||||
\(182\) | −0.572110 | + | 1.06543i | −0.0424076 | + | 0.0789753i | ||||
\(183\) | − | 0.195740i | − | 0.0144695i | ||||||
\(184\) | −3.47269 | + | 1.04972i | −0.256010 | + | 0.0773864i | ||||
\(185\) | 25.4183i | 1.86879i | ||||||||
\(186\) | −0.238228 | − | 1.65691i | −0.0174677 | − | 0.121491i | ||||
\(187\) | 18.4176 | + | 8.41102i | 1.34683 | + | 0.615075i | ||||
\(188\) | −2.60110 | − | 8.85852i | −0.189704 | − | 0.646074i | ||||
\(189\) | 2.58128 | − | 0.580508i | 0.187761 | − | 0.0422258i | ||||
\(190\) | −1.05759 | − | 0.310537i | −0.0767258 | − | 0.0225287i | ||||
\(191\) | 11.9034 | + | 18.5221i | 0.861301 | + | 1.34021i | 0.939243 | + | 0.343252i | \(0.111529\pi\) |
−0.0779426 | + | 0.996958i | \(0.524835\pi\) | |||||||
\(192\) | 6.49387 | − | 2.96565i | 0.468655 | − | 0.214028i | ||||
\(193\) | 15.7408 | + | 18.1658i | 1.13305 | + | 1.30761i | 0.945600 | + | 0.325332i | \(0.105476\pi\) |
0.187448 | + | 0.982275i | \(0.439979\pi\) | |||||||
\(194\) | 2.09426 | + | 1.34590i | 0.150359 | + | 0.0966300i | ||||
\(195\) | 1.03554 | − | 7.20232i | 0.0741563 | − | 0.515769i | ||||
\(196\) | −13.5764 | + | 2.14671i | −0.969739 | + | 0.153337i | ||||
\(197\) | 3.33106 | + | 2.14074i | 0.237328 | + | 0.152521i | 0.653899 | − | 0.756582i | \(-0.273132\pi\) |
−0.416571 | + | 0.909103i | \(0.636768\pi\) | |||||||
\(198\) | −0.448706 | + | 0.388806i | −0.0318882 | + | 0.0276313i | ||||
\(199\) | 6.27353 | + | 13.7371i | 0.444719 | + | 0.973798i | 0.990708 | + | 0.136006i | \(0.0434267\pi\) |
−0.545989 | + | 0.837792i | \(0.683846\pi\) | |||||||
\(200\) | 2.69249 | − | 1.73036i | 0.190388 | − | 0.122355i | ||||
\(201\) | 11.6753 | + | 3.42819i | 0.823515 | + | 0.241806i | ||||
\(202\) | −1.32557 | − | 1.14861i | −0.0932669 | − | 0.0808162i | ||||
\(203\) | −5.19335 | + | 14.2278i | −0.364502 | + | 0.998597i | ||||
\(204\) | 11.6251 | + | 5.30901i | 0.813920 | + | 0.371705i | ||||
\(205\) | 19.8088 | − | 2.84807i | 1.38351 | − | 0.198918i | ||||
\(206\) | 3.28122 | 0.228613 | ||||||||
\(207\) | −4.01378 | + | 2.62480i | −0.278977 | + | 0.182436i | ||||
\(208\) | 9.05946i | 0.628161i | ||||||||
\(209\) | 5.85317 | − | 0.841559i | 0.404872 | − | 0.0582118i | ||||
\(210\) | −1.34132 | + | 0.744673i | −0.0925600 | + | 0.0513874i | ||||
\(211\) | −12.2871 | + | 3.60782i | −0.845880 | + | 0.248373i | −0.675825 | − | 0.737062i | \(-0.736213\pi\) |
−0.170055 | + | 0.985435i | \(0.554394\pi\) | |||||||
\(212\) | −13.5675 | − | 11.7563i | −0.931817 | − | 0.807424i | ||||
\(213\) | −2.11676 | + | 7.20903i | −0.145038 | + | 0.493955i | ||||
\(214\) | −1.94482 | − | 3.02620i | −0.132945 | − | 0.206867i | ||||
\(215\) | 6.89003 | − | 3.14657i | 0.469896 | − | 0.214595i | ||||
\(216\) | −0.571698 | + | 0.495379i | −0.0388991 | + | 0.0337063i | ||||
\(217\) | 8.26173 | + | 21.6849i | 0.560843 | + | 1.47207i | ||||
\(218\) | 2.53891 | + | 0.365040i | 0.171957 | + | 0.0247236i | ||||
\(219\) | 0.165765 | − | 1.15292i | 0.0112014 | − | 0.0779072i | ||||
\(220\) | −10.0337 | + | 15.6128i | −0.676474 | + | 1.05261i | ||||
\(221\) | −11.7802 | + | 10.2076i | −0.792423 | + | 0.686639i | ||||
\(222\) | 0.663294 | + | 1.45241i | 0.0445174 | + | 0.0974795i | ||||
\(223\) | −3.16358 | − | 4.92263i | −0.211849 | − | 0.329644i | 0.719025 | − | 0.694985i | \(-0.244589\pi\) |
−0.930874 | + | 0.365341i | \(0.880952\pi\) | |||||||
\(224\) | 4.70860 | − | 3.57660i | 0.314607 | − | 0.238972i | ||||
\(225\) | 2.77069 | − | 3.19755i | 0.184713 | − | 0.213170i | ||||
\(226\) | 0.0849705 | + | 0.289383i | 0.00565215 | + | 0.0192495i | ||||
\(227\) | −1.49180 | + | 3.26658i | −0.0990140 | + | 0.216810i | −0.952656 | − | 0.304049i | \(-0.901661\pi\) |
0.853642 | + | 0.520860i | \(0.174389\pi\) | |||||||
\(228\) | 3.69450 | − | 0.531189i | 0.244674 | − | 0.0351788i | ||||
\(229\) | 15.5322 | 1.02640 | 0.513198 | − | 0.858270i | \(-0.328461\pi\) | ||||
0.513198 | + | 0.858270i | \(0.328461\pi\) | |||||||
\(230\) | 1.80436 | − | 2.11609i | 0.118976 | − | 0.139531i | ||||
\(231\) | 4.88610 | − | 6.62336i | 0.321482 | − | 0.435785i | ||||
\(232\) | −0.616294 | − | 4.28642i | −0.0404617 | − | 0.281417i | ||||
\(233\) | 1.71859 | − | 3.76318i | 0.112588 | − | 0.246534i | −0.844947 | − | 0.534850i | \(-0.820368\pi\) |
0.957535 | + | 0.288316i | \(0.0930953\pi\) | |||||||
\(234\) | −0.128775 | − | 0.438566i | −0.00841826 | − | 0.0286700i | ||||
\(235\) | 10.7963 | + | 9.35501i | 0.704271 | + | 0.610254i | ||||
\(236\) | 1.66680 | − | 5.67659i | 0.108499 | − | 0.369514i | ||||
\(237\) | −12.8182 | + | 8.23775i | −0.832631 | + | 0.535099i | ||||
\(238\) | 3.21622 | + | 0.676062i | 0.208476 | + | 0.0438226i | ||||
\(239\) | 1.25929 | + | 1.45329i | 0.0814565 | + | 0.0940058i | 0.795015 | − | 0.606590i | \(-0.207463\pi\) |
−0.713558 | + | 0.700596i | \(0.752918\pi\) | |||||||
\(240\) | −6.21359 | + | 9.66854i | −0.401086 | + | 0.624102i | ||||
\(241\) | −1.05454 | + | 7.33446i | −0.0679287 | + | 0.472454i | 0.927255 | + | 0.374430i | \(0.122161\pi\) |
−0.995184 | + | 0.0980246i | \(0.968748\pi\) | |||||||
\(242\) | 0.0359193 | − | 0.249824i | 0.00230898 | − | 0.0160593i | ||||
\(243\) | −0.540641 | + | 0.841254i | −0.0346821 | + | 0.0539664i | ||||
\(244\) | −0.251696 | − | 0.290472i | −0.0161132 | − | 0.0185956i | ||||
\(245\) | 15.8762 | − | 14.1514i | 1.01429 | − | 0.904102i | ||||
\(246\) | 1.05756 | − | 0.679654i | 0.0674277 | − | 0.0433331i | ||||
\(247\) | −1.28257 | + | 4.36802i | −0.0816078 | + | 0.277931i | ||||
\(248\) | −5.01427 | − | 4.34489i | −0.318406 | − | 0.275901i | ||||
\(249\) | −3.24031 | − | 11.0355i | −0.205346 | − | 0.699344i | ||||
\(250\) | 0.185248 | − | 0.405636i | 0.0117161 | − | 0.0256547i | ||||
\(251\) | 2.58208 | + | 17.9588i | 0.162980 | + | 1.13355i | 0.892978 | + | 0.450100i | \(0.148612\pi\) |
−0.729999 | + | 0.683449i | \(0.760479\pi\) | |||||||
\(252\) | 3.08409 | − | 4.18064i | 0.194279 | − | 0.263356i | ||||
\(253\) | −4.08935 | + | 14.3479i | −0.257095 | + | 0.902042i | ||||
\(254\) | −0.0918421 | −0.00576269 | ||||||||
\(255\) | −19.5733 | + | 2.81422i | −1.22573 | + | 0.176233i | ||||
\(256\) | 5.46890 | − | 11.9752i | 0.341806 | − | 0.748452i | ||||
\(257\) | −4.86780 | − | 16.5782i | −0.303645 | − | 1.03412i | −0.960077 | − | 0.279735i | \(-0.909754\pi\) |
0.656432 | − | 0.754385i | \(-0.272065\pi\) | |||||||
\(258\) | 0.311589 | − | 0.359593i | 0.0193987 | − | 0.0223873i | ||||
\(259\) | −13.3887 | − | 17.6262i | −0.831933 | − | 1.09524i | ||||
\(260\) | −7.72452 | − | 12.0196i | −0.479055 | − | 0.745423i | ||||
\(261\) | −2.37811 | − | 5.20733i | −0.147201 | − | 0.322325i | ||||
\(262\) | 1.18939 | − | 1.03061i | 0.0734808 | − | 0.0636715i | ||||
\(263\) | 9.92661 | − | 15.4461i | 0.612101 | − | 0.952448i | −0.387432 | − | 0.921898i | \(-0.626638\pi\) |
0.999533 | − | 0.0305496i | \(-0.00972576\pi\) | |||||||
\(264\) | −0.334905 | + | 2.32931i | −0.0206120 | + | 0.143359i | ||||
\(265\) | 27.4950 | + | 3.95319i | 1.68900 | + | 0.242842i | ||||
\(266\) | 0.896954 | − | 0.341730i | 0.0549958 | − | 0.0209528i | ||||
\(267\) | 3.90165 | − | 3.38080i | 0.238777 | − | 0.206901i | ||||
\(268\) | 21.7341 | − | 9.92562i | 1.32762 | − | 0.606304i | ||||
\(269\) | −4.17392 | − | 6.49475i | −0.254489 | − | 0.395992i | 0.690377 | − | 0.723450i | \(-0.257445\pi\) |
−0.944866 | + | 0.327457i | \(0.893808\pi\) | |||||||
\(270\) | 0.163366 | − | 0.556374i | 0.00994214 | − | 0.0338598i | ||||
\(271\) | −21.5391 | − | 18.6637i | −1.30841 | − | 1.13374i | −0.982076 | − | 0.188486i | \(-0.939642\pi\) |
−0.326332 | − | 0.945255i | \(-0.605813\pi\) | |||||||
\(272\) | 23.6230 | − | 6.93635i | 1.43236 | − | 0.420578i | ||||
\(273\) | 3.07562 | + | 5.53987i | 0.186145 | + | 0.335288i | ||||
\(274\) | −1.20612 | + | 0.173414i | −0.0728645 | + | 0.0104763i | ||||
\(275\) | − | 13.1620i | − | 0.793699i | ||||||
\(276\) | −2.58118 | + | 9.05632i | −0.155369 | + | 0.545126i | ||||
\(277\) | 13.8216 | 0.830458 | 0.415229 | − | 0.909717i | \(-0.363701\pi\) | ||||
0.415229 | + | 0.909717i | \(0.363701\pi\) | |||||||
\(278\) | −1.60335 | + | 0.230527i | −0.0961624 | + | 0.0138261i | ||||
\(279\) | −7.97823 | − | 3.64354i | −0.477644 | − | 0.218133i | ||||
\(280\) | −2.08502 | + | 5.71217i | −0.124604 | + | 0.341367i | ||||
\(281\) | −18.8951 | − | 16.3727i | −1.12719 | − | 0.976715i | −0.127304 | − | 0.991864i | \(-0.540632\pi\) |
−0.999885 | + | 0.0151490i | \(0.995178\pi\) | |||||||
\(282\) | 0.861024 | + | 0.252819i | 0.0512732 | + | 0.0150552i | ||||
\(283\) | −1.62288 | + | 1.04296i | −0.0964704 | + | 0.0619978i | −0.587987 | − | 0.808871i | \(-0.700079\pi\) |
0.491516 | + | 0.870868i | \(0.336443\pi\) | |||||||
\(284\) | 6.12865 | + | 13.4199i | 0.363669 | + | 0.796323i | ||||
\(285\) | −4.36468 | + | 3.78202i | −0.258542 | + | 0.224028i | ||||
\(286\) | −1.19620 | − | 0.768750i | −0.0707327 | − | 0.0454571i | ||||
\(287\) | −12.2362 | + | 12.4090i | −0.722277 | + | 0.732478i | ||||
\(288\) | −0.318058 | + | 2.21214i | −0.0187417 | + | 0.130352i | ||||
\(289\) | 21.3351 | + | 13.7112i | 1.25501 | + | 0.806544i | ||||
\(290\) | 2.17382 | + | 2.50872i | 0.127651 | + | 0.147317i | ||||
\(291\) | 11.8650 | − | 5.41857i | 0.695540 | − | 0.317642i | ||||
\(292\) | −1.23651 | − | 1.92405i | −0.0723615 | − | 0.112597i | ||||
\(293\) | 10.9898 | + | 3.22690i | 0.642032 | + | 0.188518i | 0.586513 | − | 0.809940i | \(-0.300500\pi\) |
0.0555192 | + | 0.998458i | \(0.482319\pi\) | |||||||
\(294\) | 0.537889 | − | 1.22291i | 0.0313703 | − | 0.0713217i | ||||
\(295\) | 2.57904 | + | 8.78342i | 0.150158 | + | 0.511390i | ||||
\(296\) | 5.75674 | + | 2.62902i | 0.334604 | + | 0.152808i | ||||
\(297\) | 0.442724 | + | 3.07921i | 0.0256895 | + | 0.178674i | ||||
\(298\) | − | 0.911262i | − | 0.0527880i | ||||||
\(299\) | −8.73977 | − | 7.45229i | −0.505434 | − | 0.430977i | ||||
\(300\) | − | 8.30782i | − | 0.479652i | ||||||
\(301\) | −3.12046 | + | 5.81120i | −0.179860 | + | 0.334952i | ||||
\(302\) | 0.0868156 | − | 0.190100i | 0.00499568 | − | 0.0109390i | ||||
\(303\) | −8.81791 | + | 2.58917i | −0.506576 | + | 0.148744i | ||||
\(304\) | 4.70881 | − | 5.43425i | 0.270069 | − | 0.311676i | ||||
\(305\) | 0.570617 | + | 0.167548i | 0.0326734 | + | 0.00959379i | ||||
\(306\) | −1.04499 | + | 0.671574i | −0.0597381 | + | 0.0383913i | ||||
\(307\) | 5.11167 | − | 2.33442i | 0.291738 | − | 0.133232i | −0.264170 | − | 0.964476i | \(-0.585098\pi\) |
0.555908 | + | 0.831244i | \(0.312371\pi\) | |||||||
\(308\) | −1.26594 | − | 16.1118i | −0.0721339 | − | 0.918052i | ||||
\(309\) | 9.29485 | − | 14.4631i | 0.528766 | − | 0.822775i | ||||
\(310\) | 5.03411 | + | 0.723796i | 0.285918 | + | 0.0411089i | ||||
\(311\) | 8.82360 | + | 1.26864i | 0.500340 | + | 0.0719381i | 0.387865 | − | 0.921716i | \(-0.373213\pi\) |
0.112476 | + | 0.993654i | \(0.464122\pi\) | |||||||
\(312\) | −1.52408 | − | 0.979465i | −0.0862839 | − | 0.0554513i | ||||
\(313\) | 20.8631 | + | 24.0773i | 1.17925 | + | 1.36093i | 0.918450 | + | 0.395536i | \(0.129441\pi\) |
0.260801 | + | 0.965393i | \(0.416013\pi\) | |||||||
\(314\) | −1.26340 | − | 2.76646i | −0.0712977 | − | 0.156120i | ||||
\(315\) | −0.517223 | + | 8.02180i | −0.0291422 | + | 0.451977i | ||||
\(316\) | −8.42916 | + | 28.7071i | −0.474177 | + | 1.61490i | ||||
\(317\) | 6.18282 | − | 7.13536i | 0.347262 | − | 0.400762i | −0.555070 | − | 0.831804i | \(-0.687308\pi\) |
0.902332 | + | 0.431042i | \(0.141854\pi\) | |||||||
\(318\) | 1.67424 | − | 0.491600i | 0.0938865 | − | 0.0275676i | ||||
\(319\) | −16.1994 | − | 7.39800i | −0.906990 | − | 0.414208i | ||||
\(320\) | 3.08682 | + | 21.4693i | 0.172559 | + | 1.20017i | ||||
\(321\) | −18.8482 | −1.05200 | ||||||||
\(322\) | −0.136610 | + | 2.41781i | −0.00761296 | + | 0.134739i | ||||
\(323\) | 12.3719 | 0.688389 | ||||||||
\(324\) | 0.279446 | + | 1.94359i | 0.0155248 | + | 0.107977i | ||||
\(325\) | 9.21716 | + | 4.20933i | 0.511276 | + | 0.233492i | ||||
\(326\) | 3.18557 | − | 0.935368i | 0.176432 | − | 0.0518052i | ||||
\(327\) | 8.80112 | − | 10.1570i | 0.486703 | − | 0.561685i | ||||
\(328\) | 1.40379 | − | 4.78088i | 0.0775115 | − | 0.263980i | ||||
\(329\) | −12.4142 | − | 0.800435i | −0.684419 | − | 0.0441294i | ||||
\(330\) | −0.749359 | − | 1.64087i | −0.0412509 | − | 0.0903268i | ||||
\(331\) | 2.75065 | + | 3.17442i | 0.151189 | + | 0.174482i | 0.826292 | − | 0.563242i | \(-0.190446\pi\) |
−0.675103 | + | 0.737724i | \(0.735901\pi\) | |||||||
\(332\) | −18.9987 | − | 12.2097i | −1.04269 | − | 0.670095i | ||||
\(333\) | 8.28094 | + | 1.19062i | 0.453793 | + | 0.0652455i | ||||
\(334\) | −2.33436 | − | 0.335631i | −0.127731 | − | 0.0183649i | ||||
\(335\) | −19.9876 | + | 31.1013i | −1.09204 | + | 1.69924i | ||||
\(336\) | −0.783961 | − | 9.97753i | −0.0427686 | − | 0.544319i | ||||
\(337\) | 0.340674 | − | 0.155581i | 0.0185577 | − | 0.00847502i | −0.406115 | − | 0.913822i | \(-0.633117\pi\) |
0.424672 | + | 0.905347i | \(0.360389\pi\) | |||||||
\(338\) | −1.16634 | + | 0.749560i | −0.0634404 | + | 0.0407707i | ||||
\(339\) | 1.51625 | + | 0.445212i | 0.0823515 | + | 0.0241806i | ||||
\(340\) | −25.4275 | + | 29.3449i | −1.37900 | + | 1.59145i | ||||
\(341\) | −26.1798 | + | 7.68707i | −1.41771 | + | 0.416278i | ||||
\(342\) | −0.150708 | + | 0.330003i | −0.00814933 | + | 0.0178445i | ||||
\(343\) | −3.55525 | + | 18.1758i | −0.191965 | + | 0.981402i | ||||
\(344\) | − | 1.88591i | − | 0.101681i | ||||||
\(345\) | −4.21608 | − | 13.9476i | −0.226986 | − | 0.750916i | ||||
\(346\) | 1.05119i | 0.0565126i | ||||||||
\(347\) | −3.39164 | − | 23.5894i | −0.182073 | − | 1.26634i | −0.851852 | − | 0.523783i | \(-0.824520\pi\) |
0.669779 | − | 0.742561i | \(-0.266389\pi\) | |||||||
\(348\) | −10.2250 | − | 4.66959i | −0.548116 | − | 0.250316i | ||||
\(349\) | 3.20852 | + | 10.9272i | 0.171748 | + | 0.584921i | 0.999709 | + | 0.0241345i | \(0.00768300\pi\) |
−0.827960 | + | 0.560787i | \(0.810499\pi\) | |||||||
\(350\) | −0.468759 | − | 2.08438i | −0.0250562 | − | 0.111415i | ||||
\(351\) | −2.29791 | − | 0.674728i | −0.122654 | − | 0.0360143i | ||||
\(352\) | 3.75878 | + | 5.84878i | 0.200344 | + | 0.311741i | ||||
\(353\) | 10.3813 | − | 4.74097i | 0.552539 | − | 0.252336i | −0.119522 | − | 0.992832i | \(-0.538136\pi\) |
0.672062 | + | 0.740495i | \(0.265409\pi\) | |||||||
\(354\) | 0.376572 | + | 0.434588i | 0.0200146 | + | 0.0230981i | ||||
\(355\) | −19.2037 | − | 12.3415i | −1.01923 | − | 0.655018i | ||||
\(356\) | 1.44267 | − | 10.0340i | 0.0764615 | − | 0.531801i | ||||
\(357\) | 12.0907 | − | 12.2614i | 0.639907 | − | 0.648944i | ||||
\(358\) | −1.54296 | − | 0.991597i | −0.0815477 | − | 0.0524075i | ||||
\(359\) | 10.7048 | − | 9.27573i | 0.564976 | − | 0.489554i | −0.324906 | − | 0.945746i | \(-0.605333\pi\) |
0.889881 | + | 0.456192i | \(0.150787\pi\) | |||||||
\(360\) | −0.954760 | − | 2.09063i | −0.0503203 | − | 0.110186i | ||||
\(361\) | −12.9441 | + | 8.31868i | −0.681270 | + | 0.437825i | ||||
\(362\) | −0.163762 | − | 0.0480848i | −0.00860714 | − | 0.00252728i | ||||
\(363\) | −0.999435 | − | 0.866015i | −0.0524567 | − | 0.0454540i | ||||
\(364\) | 11.6877 | + | 4.26617i | 0.612601 | + | 0.223608i | ||||
\(365\) | 3.21908 | + | 1.47011i | 0.168494 | + | 0.0769488i | ||||
\(366\) | 0.0369775 | − | 0.00531656i | 0.00193285 | − | 0.000277901i | ||||
\(367\) | 28.0585 | 1.46464 | 0.732321 | − | 0.680960i | \(-0.238437\pi\) | ||||
0.732321 | + | 0.680960i | \(0.238437\pi\) | |||||||
\(368\) | 7.66717 | + | 16.4417i | 0.399679 | + | 0.857084i | ||||
\(369\) | − | 6.58685i | − | 0.342898i | ||||||
\(370\) | −4.80180 | + | 0.690395i | −0.249634 | + | 0.0358919i | ||||
\(371\) | −21.1486 | + | 11.7413i | −1.09798 | + | 0.609575i | ||||
\(372\) | −16.5246 | + | 4.85205i | −0.856759 | + | 0.251567i | ||||
\(373\) | 7.22522 | + | 6.26069i | 0.374108 | + | 0.324166i | 0.821539 | − | 0.570152i | \(-0.193116\pi\) |
−0.447432 | + | 0.894318i | \(0.647661\pi\) | |||||||
\(374\) | −1.08869 | + | 3.70774i | −0.0562949 | + | 0.191723i | ||||
\(375\) | −1.26322 | − | 1.96561i | −0.0652324 | − | 0.101504i | ||||
\(376\) | 3.23539 | − | 1.47755i | 0.166852 | − | 0.0761989i | ||||
\(377\) | 10.3614 | − | 8.97821i | 0.533640 | − | 0.462402i | ||||
\(378\) | 0.179776 | + | 0.471866i | 0.00924667 | + | 0.0242702i | ||||
\(379\) | −32.3352 | − | 4.64909i | −1.66095 | − | 0.238808i | −0.753037 | − | 0.657978i | \(-0.771412\pi\) |
−0.907908 | + | 0.419170i | \(0.862321\pi\) | |||||||
\(380\) | −1.61389 | + | 11.2248i | −0.0827906 | + | 0.575821i | ||||
\(381\) | −0.260165 | + | 0.404825i | −0.0133287 | + | 0.0207398i | ||||
\(382\) | −3.17572 | + | 2.75178i | −0.162484 | + | 0.140793i | ||||
\(383\) | 11.9571 | + | 26.1823i | 0.610978 | + | 1.33785i | 0.921903 | + | 0.387420i | \(0.126634\pi\) |
−0.310926 | + | 0.950434i | \(0.600639\pi\) | |||||||
\(384\) | 3.15317 | + | 4.90643i | 0.160910 | + | 0.250380i | ||||
\(385\) | 15.1259 | + | 19.9133i | 0.770888 | + | 1.01487i | ||||
\(386\) | −3.00420 | + | 3.46703i | −0.152910 | + | 0.176467i | ||||
\(387\) | −0.702375 | − | 2.39207i | −0.0357037 | − | 0.121596i | ||||
\(388\) | 10.6398 | − | 23.2979i | 0.540153 | − | 1.18277i | ||||
\(389\) | 3.29758 | − | 0.474121i | 0.167194 | − | 0.0240389i | −0.0582094 | − | 0.998304i | \(-0.518539\pi\) |
0.225403 | + | 0.974266i | \(0.427630\pi\) | |||||||
\(390\) | 1.38873 | 0.0703209 | ||||||||
\(391\) | −12.7407 | + | 28.4953i | −0.644323 | + | 1.44107i | ||||
\(392\) | −1.56295 | − | 5.05934i | −0.0789407 | − | 0.255535i | ||||
\(393\) | −1.17353 | − | 8.16211i | −0.0591970 | − | 0.411724i | ||||
\(394\) | −0.313934 | + | 0.687420i | −0.0158158 | + | 0.0346317i | ||||
\(395\) | −13.0425 | − | 44.4186i | −0.656239 | − | 2.23494i | ||||
\(396\) | 4.61645 | + | 4.00018i | 0.231985 | + | 0.201016i | ||||
\(397\) | 4.61746 | − | 15.7256i | 0.231744 | − | 0.789247i | −0.758713 | − | 0.651425i | \(-0.774172\pi\) |
0.990457 | − | 0.137822i | \(-0.0440103\pi\) | |||||||
\(398\) | −2.42470 | + | 1.55826i | −0.121539 | + | 0.0781085i | ||||
\(399\) | 1.03455 | − | 4.92166i | 0.0517924 | − | 0.246391i | ||||
\(400\) | −10.4809 | − | 12.0956i | −0.524045 | − | 0.604781i | ||||
\(401\) | −11.2094 | + | 17.4421i | −0.559769 | + | 0.871017i | −0.999634 | − | 0.0270467i | \(-0.991390\pi\) |
0.439866 | + | 0.898064i | \(0.355026\pi\) | |||||||
\(402\) | −0.330506 | + | 2.29872i | −0.0164841 | + | 0.114650i | ||||
\(403\) | 2.98939 | − | 20.7917i | 0.148912 | − | 1.03571i | ||||
\(404\) | −9.75619 | + | 15.1809i | −0.485389 | + | 0.755279i | ||||
\(405\) | −1.98963 | − | 2.29616i | −0.0988655 | − | 0.114097i | ||||
\(406\) | −2.82885 | − | 0.594637i | −0.140394 | − | 0.0295113i | ||||
\(407\) | 21.8944 | − | 14.0707i | 1.08526 | − | 0.697457i | ||||
\(408\) | −1.38710 | + | 4.72404i | −0.0686719 | + | 0.233875i | ||||
\(409\) | 16.6488 | + | 14.4262i | 0.823229 | + | 0.713332i | 0.960825 | − | 0.277156i | \(-0.0893920\pi\) |
−0.137596 | + | 0.990488i | \(0.543937\pi\) | |||||||
\(410\) | 1.07607 | + | 3.66475i | 0.0531432 | + | 0.180989i | ||||
\(411\) | −2.65226 | + | 5.80763i | −0.130826 | + | 0.286469i | ||||
\(412\) | −4.80431 | − | 33.4147i | −0.236692 | − | 1.64623i | ||||
\(413\) | −6.41496 | − | 4.73236i | −0.315660 | − | 0.232864i | ||||
\(414\) | −0.604875 | − | 0.686956i | −0.0297280 | − | 0.0337620i | ||||
\(415\) | 34.9440 | 1.71533 | ||||||||
\(416\) | −5.29791 | + | 0.761724i | −0.259751 | + | 0.0373466i | ||||
\(417\) | −3.52575 | + | 7.72032i | −0.172657 | + | 0.378066i | ||||
\(418\) | 0.317960 | + | 1.08287i | 0.0155519 | + | 0.0529650i | ||||
\(419\) | −2.62911 | + | 3.03415i | −0.128440 | + | 0.148228i | −0.816327 | − | 0.577590i | \(-0.803993\pi\) |
0.687887 | + | 0.725818i | \(0.258539\pi\) | |||||||
\(420\) | 9.54743 | + | 12.5692i | 0.465867 | + | 0.613314i | ||||
\(421\) | 3.57138 | + | 5.55717i | 0.174058 | + | 0.270840i | 0.917312 | − | 0.398170i | \(-0.130355\pi\) |
−0.743253 | + | 0.669010i | \(0.766718\pi\) | |||||||
\(422\) | −1.01529 | − | 2.22318i | −0.0494237 | − | 0.108223i | ||||
\(423\) | 3.55345 | − | 3.07908i | 0.172775 | − | 0.149710i | ||||
\(424\) | 3.73913 | − | 5.81820i | 0.181588 | − | 0.282557i | ||||
\(425\) | 3.91898 | − | 27.2571i | 0.190099 | − | 1.32216i | ||||
\(426\) | −1.41936 | − | 0.204074i | −0.0687684 | − | 0.00988740i | ||||
\(427\) | −0.483946 | + | 0.184378i | −0.0234198 | + | 0.00892268i | ||||
\(428\) | −27.9702 | + | 24.2363i | −1.35199 | + | 1.17150i | ||||
\(429\) | −6.77705 | + | 3.09497i | −0.327199 | + | 0.149427i | ||||
\(430\) | 0.781566 | + | 1.21614i | 0.0376905 | + | 0.0586475i | ||||
\(431\) | 7.67874 | − | 26.1514i | 0.369872 | − | 1.25967i | −0.538898 | − | 0.842371i | \(-0.681159\pi\) |
0.908770 | − | 0.417297i | \(-0.137023\pi\) | |||||||
\(432\) | 2.85883 | + | 2.47719i | 0.137546 | + | 0.119184i | ||||
\(433\) | −24.3585 | + | 7.15232i | −1.17060 | + | 0.343718i | −0.808542 | − | 0.588438i | \(-0.799743\pi\) |
−0.362055 | + | 0.932157i | \(0.617925\pi\) | |||||||
\(434\) | −3.87214 | + | 2.14973i | −0.185868 | + | 0.103190i | ||||
\(435\) | 17.2159 | − | 2.47527i | 0.825439 | − | 0.118680i | ||||
\(436\) | − | 26.3898i | − | 1.26384i | ||||||
\(437\) | 1.36904 | + | 9.01285i | 0.0654900 | + | 0.431143i | ||||
\(438\) | 0.222302 | 0.0106220 | ||||||||
\(439\) | 14.4724 | − | 2.08082i | 0.690730 | − | 0.0993119i | 0.211994 | − | 0.977271i | \(-0.432004\pi\) |
0.478736 | + | 0.877959i | \(0.341095\pi\) | |||||||
\(440\) | −6.50370 | − | 2.97014i | −0.310052 | − | 0.141596i | ||||
\(441\) | −3.86669 | − | 5.83513i | −0.184128 | − | 0.277863i | ||||
\(442\) | −2.24830 | − | 1.94817i | −0.106941 | − | 0.0926648i | ||||
\(443\) | −28.4358 | − | 8.34950i | −1.35102 | − | 0.396697i | −0.475434 | − | 0.879751i | \(-0.657709\pi\) |
−0.875590 | + | 0.483055i | \(0.839527\pi\) | |||||||
\(444\) | 13.8197 | − | 8.88135i | 0.655852 | − | 0.421490i | ||||
\(445\) | 6.51592 | + | 14.2679i | 0.308884 | + | 0.676362i | ||||
\(446\) | 0.844014 | − | 0.731343i | 0.0399652 | − | 0.0346301i | ||||
\(447\) | −4.01670 | − | 2.58137i | −0.189983 | − | 0.122095i | ||||
\(448\) | −13.4492 | − | 13.2619i | −0.635414 | − | 0.626566i | ||||
\(449\) | 3.06454 | − | 21.3143i | 0.144624 | − | 1.00588i | −0.780211 | − | 0.625517i | \(-0.784888\pi\) |
0.924835 | − | 0.380368i | \(-0.124203\pi\) | |||||||
\(450\) | 0.679309 | + | 0.436566i | 0.0320230 | + | 0.0205799i | ||||
\(451\) | −13.4187 | − | 15.4860i | −0.631860 | − | 0.729206i | ||||
\(452\) | 2.82256 | − | 1.28902i | 0.132762 | − | 0.0606304i | ||||
\(453\) | −0.592002 | − | 0.921173i | −0.0278147 | − | 0.0432805i | ||||
\(454\) | −0.657613 | − | 0.193093i | −0.0308633 | − | 0.00906229i | ||||
\(455\) | −18.7824 | + | 4.22400i | −0.880532 | + | 0.198024i | ||||
\(456\) | 0.405114 | + | 1.37969i | 0.0189712 | + | 0.0646099i | ||||
\(457\) | 7.35391 | + | 3.35842i | 0.344001 | + | 0.157100i | 0.579922 | − | 0.814672i | \(-0.303083\pi\) |
−0.235920 | + | 0.971772i | \(0.575810\pi\) | |||||||
\(458\) | 0.421875 | + | 2.93421i | 0.0197129 | + | 0.137106i | ||||
\(459\) | 6.50854i | 0.303793i | ||||||||
\(460\) | −24.1914 | − | 15.2766i | −1.12793 | − | 0.712274i | ||||
\(461\) | − | 18.9743i | − | 0.883720i | −0.897084 | − | 0.441860i | \(-0.854319\pi\) | ||
0.897084 | − | 0.441860i | \(-0.145681\pi\) | |||||||
\(462\) | 1.38394 | + | 0.743140i | 0.0643868 | + | 0.0345740i | ||||
\(463\) | −8.91523 | + | 19.5216i | −0.414326 | + | 0.907247i | 0.581289 | + | 0.813697i | \(0.302549\pi\) |
−0.995615 | + | 0.0935497i | \(0.970179\pi\) | |||||||
\(464\) | −20.7779 | + | 6.10094i | −0.964589 | + | 0.283229i | ||||
\(465\) | 17.4507 | − | 20.1392i | 0.809258 | − | 0.933934i | ||||
\(466\) | 0.757588 | + | 0.222448i | 0.0350946 | + | 0.0103047i | ||||
\(467\) | 24.1860 | − | 15.5434i | 1.11920 | − | 0.719263i | 0.155918 | − | 0.987770i | \(-0.450166\pi\) |
0.963278 | + | 0.268507i | \(0.0865301\pi\) | |||||||
\(468\) | −4.27765 | + | 1.95354i | −0.197734 | + | 0.0903022i | ||||
\(469\) | −2.52181 | − | 32.0952i | −0.116446 | − | 1.48202i | ||||
\(470\) | −1.47403 | + | 2.29363i | −0.0679918 | + | 0.105797i | ||||
\(471\) | −15.7730 | − | 2.26781i | −0.726781 | − | 0.104495i | ||||
\(472\) | 2.25602 | + | 0.324367i | 0.103842 | + | 0.0149302i | ||||
\(473\) | −6.52442 | − | 4.19299i | −0.299993 | − | 0.192794i | ||||
\(474\) | −1.90437 | − | 2.19775i | −0.0874704 | − | 0.100946i | ||||
\(475\) | −3.34097 | − | 7.31571i | −0.153294 | − | 0.335668i | ||||
\(476\) | 2.17563 | − | 33.7426i | 0.0997199 | − | 1.54659i | ||||
\(477\) | 2.57579 | − | 8.77234i | 0.117937 | − | 0.401658i | ||||
\(478\) | −0.240340 | + | 0.277367i | −0.0109929 | + | 0.0126865i | ||||
\(479\) | 13.3157 | − | 3.90984i | 0.608409 | − | 0.178645i | 0.0370067 | − | 0.999315i | \(-0.488218\pi\) |
0.571402 | + | 0.820670i | \(0.306400\pi\) | |||||||
\(480\) | −6.17653 | − | 2.82073i | −0.281919 | − | 0.128748i | ||||
\(481\) | 2.85144 | + | 19.8322i | 0.130015 | + | 0.904272i | ||||
\(482\) | −1.41421 | −0.0644153 | ||||||||
\(483\) | 10.2703 | + | 7.45119i | 0.467316 | + | 0.339041i | ||||
\(484\) | −2.59671 | −0.118032 | ||||||||
\(485\) | 5.63997 | + | 39.2268i | 0.256098 | + | 1.78120i | ||||
\(486\) | −0.173607 | − | 0.0792836i | −0.00787497 | − | 0.00359638i | ||||
\(487\) | −15.6744 | + | 4.60243i | −0.710277 | + | 0.208556i | −0.616862 | − | 0.787071i | \(-0.711596\pi\) |
−0.0934148 | + | 0.995627i | \(0.529778\pi\) | |||||||
\(488\) | 0.0969654 | − | 0.111904i | 0.00438942 | − | 0.00506566i | ||||
\(489\) | 4.90096 | − | 16.6911i | 0.221629 | − | 0.754799i | ||||
\(490\) | 3.10459 | + | 2.61482i | 0.140251 | + | 0.118126i | ||||
\(491\) | 10.2642 | + | 22.4755i | 0.463217 | + | 1.01430i | 0.986742 | + | 0.162294i | \(0.0518893\pi\) |
−0.523525 | + | 0.852010i | \(0.675383\pi\) | |||||||
\(492\) | −8.46982 | − | 9.77469i | −0.381849 | − | 0.440677i | ||||
\(493\) | −31.3444 | − | 20.1438i | −1.41168 | − | 0.907231i | ||||
\(494\) | −0.860006 | − | 0.123650i | −0.0386935 | − | 0.00556329i | ||||
\(495\) | −9.35542 | − | 1.34511i | −0.420495 | − | 0.0604580i | ||||
\(496\) | −17.9374 | + | 27.9112i | −0.805415 | + | 1.25325i | ||||
\(497\) | 19.8175 | − | 1.55711i | 0.888934 | − | 0.0698460i | ||||
\(498\) | 1.99671 | − | 0.911869i | 0.0894749 | − | 0.0408618i | ||||
\(499\) | 24.6030 | − | 15.8114i | 1.10138 | − | 0.707815i | 0.141984 | − | 0.989869i | \(-0.454652\pi\) |
0.959399 | + | 0.282054i | \(0.0910156\pi\) | |||||||
\(500\) | −4.40209 | − | 1.29257i | −0.196868 | − | 0.0578055i | ||||
\(501\) | −8.09206 | + | 9.33874i | −0.361527 | + | 0.417224i | ||||
\(502\) | −3.32249 | + | 0.975570i | −0.148290 | + | 0.0435418i | ||||
\(503\) | −10.1265 | + | 22.1740i | −0.451519 | + | 0.988688i | 0.537821 | + | 0.843059i | \(0.319248\pi\) |
−0.989339 | + | 0.145629i | \(0.953480\pi\) | |||||||
\(504\) | 1.76328 | + | 0.946836i | 0.0785429 | + | 0.0421754i | ||||
\(505\) | − | 27.9221i | − | 1.24252i | ||||||
\(506\) | −2.82155 | − | 0.382818i | −0.125433 | − | 0.0170183i | ||||
\(507\) | 7.26434i | 0.322621i | ||||||||
\(508\) | 0.134474 | + | 0.935287i | 0.00596632 | + | 0.0414966i | ||||
\(509\) | 5.96539 | + | 2.72430i | 0.264411 | + | 0.120753i | 0.543210 | − | 0.839597i | \(-0.317209\pi\) |
−0.278798 | + | 0.960350i | \(0.589936\pi\) | |||||||
\(510\) | −1.06327 | − | 3.62118i | −0.0470826 | − | 0.160349i | ||||
\(511\) | −3.00662 | + | 0.676163i | −0.133005 | + | 0.0299117i | ||||
\(512\) | 13.6029 | + | 3.99416i | 0.601168 | + | 0.176519i | ||||
\(513\) | 1.02769 | + | 1.59911i | 0.0453734 | + | 0.0706024i | ||||
\(514\) | 2.99959 | − | 1.36987i | 0.132306 | − | 0.0604223i | ||||
\(515\) | 34.2063 | + | 39.4762i | 1.50731 | + | 1.73953i | ||||
\(516\) | −4.11819 | − | 2.64660i | −0.181293 | − | 0.116510i | ||||
\(517\) | 2.08164 | − | 14.4781i | 0.0915503 | − | 0.636746i | ||||
\(518\) | 2.96614 | − | 3.00803i | 0.130325 | − | 0.132165i | ||||
\(519\) | 4.63350 | + | 2.97777i | 0.203388 | + | 0.130709i | ||||
\(520\) | 4.15989 | − | 3.60456i | 0.182423 | − | 0.158071i | ||||
\(521\) | 2.75307 | + | 6.02839i | 0.120614 | + | 0.264109i | 0.960303 | − | 0.278960i | \(-0.0899897\pi\) |
−0.839688 | + | 0.543069i | \(0.817262\pi\) | |||||||
\(522\) | 0.919131 | − | 0.590690i | 0.0402293 | − | 0.0258538i | ||||
\(523\) | −35.4685 | − | 10.4145i | −1.55093 | − | 0.455394i | −0.609552 | − | 0.792746i | \(-0.708651\pi\) |
−0.941379 | + | 0.337352i | \(0.890469\pi\) | |||||||
\(524\) | −12.2369 | − | 10.6033i | −0.534571 | − | 0.463208i | ||||
\(525\) | −10.5155 | − | 3.83829i | −0.458932 | − | 0.167517i | ||||
\(526\) | 3.18757 | + | 1.45571i | 0.138985 | + | 0.0634721i | ||||
\(527\) | −56.5043 | + | 8.12409i | −2.46137 | + | 0.353891i | ||||
\(528\) | 11.7677 | 0.512126 | ||||||||
\(529\) | −22.1685 | − | 6.12831i | −0.963849 | − | 0.266448i | ||||
\(530\) | 5.30150i | 0.230282i | ||||||||
\(531\) | 2.98233 | − | 0.428794i | 0.129422 | − | 0.0186081i | ||||
\(532\) | −4.79336 | − | 8.63390i | −0.207818 | − | 0.374327i | ||||
\(533\) | 15.1360 | − | 4.44433i | 0.655613 | − | 0.192505i | ||||
\(534\) | 0.744645 | + | 0.645239i | 0.0322239 | + | 0.0279222i | ||||
\(535\) | 16.1336 | − | 54.9459i | 0.697515 | − | 2.37552i | ||||
\(536\) | 4.97651 | + | 7.74361i | 0.214953 | + | 0.334473i | ||||
\(537\) | −8.74160 | + | 3.99215i | −0.377228 | + | 0.172274i | ||||
\(538\) | 1.11356 | − | 0.964908i | 0.0480091 | − | 0.0416002i | ||||
\(539\) | −20.9780 | − | 5.84145i | −0.903588 | − | 0.251609i | ||||
\(540\) | −5.90511 | − | 0.849026i | −0.254115 | − | 0.0365363i | ||||
\(541\) | −1.50540 | + | 10.4703i | −0.0647221 | + | 0.450152i | 0.931531 | + | 0.363663i | \(0.118474\pi\) |
−0.996253 | + | 0.0864894i | \(0.972435\pi\) | |||||||
\(542\) | 2.94076 | − | 4.57592i | 0.126317 | − | 0.196552i | ||||
\(543\) | −0.675846 | + | 0.585624i | −0.0290033 | + | 0.0251315i | ||||
\(544\) | 6.04256 | + | 13.2314i | 0.259073 | + | 0.567290i | ||||
\(545\) | 22.0760 | + | 34.3510i | 0.945634 | + | 1.47144i | ||||
\(546\) | −0.963007 | + | 0.731490i | −0.0412129 | + | 0.0313049i | ||||
\(547\) | −22.1723 | + | 25.5882i | −0.948019 | + | 1.09407i | 0.0474391 | + | 0.998874i | \(0.484894\pi\) |
−0.995458 | + | 0.0951984i | \(0.969651\pi\) | |||||||
\(548\) | 3.53198 | + | 12.0288i | 0.150879 | + | 0.513845i | ||||
\(549\) | 0.0813133 | − | 0.178051i | 0.00347037 | − | 0.00759905i | ||||
\(550\) | 2.48645 | − | 0.357498i | 0.106023 | − | 0.0152438i | ||||
\(551\) | −10.8818 | −0.463580 | ||||||||
\(552\) | −3.59494 | − | 0.487749i | −0.153011 | − | 0.0207600i | ||||
\(553\) | 32.4411 | + | 23.9320i | 1.37954 | + | 1.01769i | ||||
\(554\) | 0.375413 | + | 2.61105i | 0.0159498 | + | 0.110933i | ||||
\(555\) | −10.5591 | + | 23.1213i | −0.448210 | + | 0.981444i | ||||
\(556\) | 4.69520 | + | 15.9904i | 0.199121 | + | 0.678143i | ||||
\(557\) | −32.3996 | − | 28.0744i | −1.37282 | − | 1.18955i | −0.960423 | − | 0.278546i | \(-0.910147\pi\) |
−0.412394 | − | 0.911006i | \(-0.635307\pi\) | |||||||
\(558\) | 0.471606 | − | 1.60614i | 0.0199647 | − | 0.0679935i | ||||
\(559\) | 5.02286 | − | 3.22799i | 0.212444 | − | 0.136530i | ||||
\(560\) | 29.7573 | + | 6.25512i | 1.25748 | + | 0.264327i | ||||
\(561\) | 13.2591 | + | 15.3019i | 0.559801 | + | 0.646045i | ||||
\(562\) | 2.57978 | − | 4.01421i | 0.108821 | − | 0.169329i | ||||
\(563\) | 3.89781 | − | 27.1099i | 0.164273 | − | 1.14255i | −0.726191 | − | 0.687493i | \(-0.758711\pi\) |
0.890465 | − | 0.455053i | \(-0.150380\pi\) | |||||||
\(564\) | 1.31392 | − | 9.13853i | 0.0553261 | − | 0.384801i | ||||
\(565\) | −2.59575 | + | 4.03906i | −0.109204 | + | 0.169925i | ||||
\(566\) | −0.241108 | − | 0.278253i | −0.0101345 | − | 0.0116958i | ||||
\(567\) | 2.58917 | + | 0.544254i | 0.108735 | + | 0.0228565i | ||||
\(568\) | −4.78135 | + | 3.07279i | −0.200621 | + | 0.128931i | ||||
\(569\) | 9.40647 | − | 32.0355i | 0.394340 | − | 1.34300i | −0.488188 | − | 0.872738i | \(-0.662342\pi\) |
0.882528 | − | 0.470260i | \(-0.155840\pi\) | |||||||
\(570\) | −0.833018 | − | 0.721814i | −0.0348913 | − | 0.0302335i | ||||
\(571\) | −1.63413 | − | 5.56534i | −0.0683863 | − | 0.232902i | 0.918207 | − | 0.396101i | \(-0.129637\pi\) |
−0.986593 | + | 0.163199i | \(0.947819\pi\) | |||||||
\(572\) | −6.07721 | + | 13.3072i | −0.254101 | + | 0.556404i | ||||
\(573\) | 3.13338 | + | 21.7931i | 0.130899 | + | 0.910421i | ||||
\(574\) | −2.67655 | − | 1.97451i | −0.111717 | − | 0.0824142i | ||||
\(575\) | 20.2904 | − | 0.161243i | 0.846166 | − | 0.00672432i | ||||
\(576\) | 7.13901 | 0.297459 | ||||||||
\(577\) | 12.1796 | − | 1.75117i | 0.507044 | − | 0.0729020i | 0.115955 | − | 0.993255i | \(-0.463007\pi\) |
0.391090 | + | 0.920353i | \(0.372098\pi\) | |||||||
\(578\) | −2.01072 | + | 4.40286i | −0.0836349 | + | 0.183135i | ||||
\(579\) | 6.77197 | + | 23.0632i | 0.281433 | + | 0.958474i | ||||
\(580\) | 22.3650 | − | 25.8106i | 0.928656 | − | 1.07173i | ||||
\(581\) | −24.2318 | + | 18.4062i | −1.00530 | + | 0.763618i | ||||
\(582\) | 1.34590 | + | 2.09426i | 0.0557894 | + | 0.0868099i | ||||
\(583\) | −11.8151 | − | 25.8715i | −0.489333 | − | 1.07149i | ||||
\(584\) | 0.665900 | − | 0.577006i | 0.0275551 | − | 0.0238767i | ||||
\(585\) | 3.93391 | − | 6.12128i | 0.162647 | − | 0.253084i | ||||
\(586\) | −0.311100 | + | 2.16375i | −0.0128514 | + | 0.0893836i | ||||
\(587\) | 14.2296 | + | 2.04590i | 0.587317 | + | 0.0844435i | 0.429566 | − | 0.903035i | \(-0.358666\pi\) |
0.157751 | + | 0.987479i | \(0.449576\pi\) | |||||||
\(588\) | −13.2413 | − | 3.68710i | −0.546060 | − | 0.152053i | ||||
\(589\) | −12.6000 | + | 10.9180i | −0.519174 | + | 0.449867i | ||||
\(590\) | −1.58924 | + | 0.725781i | −0.0654279 | + | 0.0298799i | ||||
\(591\) | 2.14074 | + | 3.33106i | 0.0880583 | + | 0.137021i | ||||
\(592\) | 8.91600 | − | 30.3651i | 0.366446 | − | 1.24800i | ||||
\(593\) | 28.8602 | + | 25.0075i | 1.18514 | + | 1.02693i | 0.999013 | + | 0.0444088i | \(0.0141404\pi\) |
0.186131 | + | 0.982525i | \(0.440405\pi\) | |||||||
\(594\) | −0.569674 | + | 0.167271i | −0.0233740 | + | 0.00686322i | ||||
\(595\) | 25.3950 | + | 45.7420i | 1.04109 | + | 1.87524i | ||||
\(596\) | −9.27996 | + | 1.33426i | −0.380122 | + | 0.0546533i | ||||
\(597\) | 15.1018i | 0.618077i | ||||||||
\(598\) | 1.17044 | − | 1.85346i | 0.0478628 | − | 0.0757935i | ||||
\(599\) | −24.6481 | −1.00710 | −0.503548 | − | 0.863968i | \(-0.667972\pi\) | ||||
−0.503548 | + | 0.863968i | \(0.667972\pi\) | |||||||
\(600\) | 3.16800 | − | 0.455489i | 0.129333 | − | 0.0185953i | ||||
\(601\) | −9.58037 | − | 4.37521i | −0.390791 | − | 0.178468i | 0.210322 | − | 0.977632i | \(-0.432549\pi\) |
−0.601113 | + | 0.799164i | \(0.705276\pi\) | |||||||
\(602\) | −1.18256 | − | 0.431651i | −0.0481975 | − | 0.0175928i | ||||
\(603\) | 9.19614 | + | 7.96850i | 0.374496 | + | 0.324503i | ||||
\(604\) | −2.06302 | − | 0.605758i | −0.0839431 | − | 0.0246479i | ||||
\(605\) | 3.38008 | − | 2.17225i | 0.137420 | − | 0.0883144i | ||||
\(606\) | −0.728631 | − | 1.59548i | −0.0295986 | − | 0.0648119i | ||||
\(607\) | −14.4769 | + | 12.5443i | −0.587598 | + | 0.509157i | −0.897150 | − | 0.441726i | \(-0.854366\pi\) |
0.309552 | + | 0.950883i | \(0.399821\pi\) | |||||||
\(608\) | 3.57383 | + | 2.29676i | 0.144938 | + | 0.0931459i | ||||
\(609\) | −10.6345 | + | 10.7847i | −0.430931 | + | 0.437017i | ||||
\(610\) | −0.0161531 | + | 0.112347i | −0.000654018 | + | 0.00454880i | ||||
\(611\) | 9.47307 | + | 6.08797i | 0.383239 | + | 0.246293i | ||||
\(612\) | 8.36912 | + | 9.65848i | 0.338302 | + | 0.390421i | ||||
\(613\) | 2.25219 | − | 1.02854i | 0.0909651 | − | 0.0415424i | −0.369413 | − | 0.929265i | \(-0.620441\pi\) |
0.460378 | + | 0.887723i | \(0.347714\pi\) | |||||||
\(614\) | 0.579839 | + | 0.902246i | 0.0234004 | + | 0.0364117i | ||||
\(615\) | 19.2018 | + | 5.63817i | 0.774293 | + | 0.227353i | ||||
\(616\) | 6.07444 | − | 1.36609i | 0.244746 | − | 0.0550414i | ||||
\(617\) | 1.99184 | + | 6.78360i | 0.0801886 | + | 0.273097i | 0.989821 | − | 0.142316i | \(-0.0454550\pi\) |
−0.909633 | + | 0.415414i | \(0.863637\pi\) | |||||||
\(618\) | 2.98470 | + | 1.36307i | 0.120062 | + | 0.0548306i | ||||
\(619\) | 5.45228 | + | 37.9214i | 0.219146 | + | 1.52419i | 0.741203 | + | 0.671281i | \(0.234256\pi\) |
−0.522057 | + | 0.852910i | \(0.674835\pi\) | |||||||
\(620\) | − | 52.3253i | − | 2.10144i | ||||||
\(621\) | −4.74144 | + | 0.720219i | −0.190268 | + | 0.0289014i | ||||
\(622\) | 1.70134i | 0.0682174i | ||||||||
\(623\) | −12.0338 | − | 6.46185i | −0.482125 | − | 0.258888i | ||||
\(624\) | −3.76344 | + | 8.24078i | −0.150658 | + | 0.329895i | ||||
\(625\) | 27.1093 | − | 7.96000i | 1.08437 | − | 0.318400i | ||||
\(626\) | −3.98181 | + | 4.59525i | −0.159145 | + | 0.183663i | ||||
\(627\) | 5.67383 | + | 1.66599i | 0.226591 | + | 0.0665331i | ||||
\(628\) | −26.3228 | + | 16.9166i | −1.05039 | + | 0.675046i | ||||
\(629\) | 49.5304 | − | 22.6198i | 1.97491 | − | 0.901910i | ||||
\(630\) | −1.52946 | + | 0.120174i | −0.0609351 | + | 0.00478783i | ||||
\(631\) | −15.1269 | + | 23.5379i | −0.602192 | + | 0.937029i | 0.397619 | + | 0.917551i | \(0.369837\pi\) |
−0.999810 | + | 0.0194777i | \(0.993800\pi\) | |||||||
\(632\) | −11.4089 | − | 1.64036i | −0.453823 | − | 0.0652499i | ||||
\(633\) | −12.6755 | − | 1.82246i | −0.503806 | − | 0.0724363i | ||||
\(634\) | 1.51588 | + | 0.974200i | 0.0602035 | + | 0.0386904i | ||||
\(635\) | −0.957443 | − | 1.10495i | −0.0379950 | − | 0.0438485i | ||||
\(636\) | −7.45767 | − | 16.3300i | −0.295716 | − | 0.647527i | ||||
\(637\) | 10.7996 | − | 12.8224i | 0.427898 | − | 0.508044i | ||||
\(638\) | 0.957570 | − | 3.26118i | 0.0379106 | − | 0.129111i | ||||
\(639\) | −4.92022 | + | 5.67823i | −0.194641 | + | 0.224627i | ||||
\(640\) | −17.0022 | + | 4.99228i | −0.672069 | + | 0.197337i | ||||
\(641\) | 31.7269 | + | 14.4892i | 1.25314 | + | 0.572288i | 0.927718 | − | 0.373282i | \(-0.121767\pi\) |
0.325419 | + | 0.945570i | \(0.394495\pi\) | |||||||
\(642\) | −0.511943 | − | 3.56064i | −0.0202048 | − | 0.140527i | ||||
\(643\) | −5.94685 | −0.234521 | −0.117261 | − | 0.993101i | \(-0.537411\pi\) | ||||
−0.117261 | + | 0.993101i | \(0.537411\pi\) | |||||||
\(644\) | 24.8221 | − | 2.14894i | 0.978129 | − | 0.0846801i | ||||
\(645\) | 7.57453 | 0.298247 | ||||||||
\(646\) | 0.336037 | + | 2.33719i | 0.0132212 | + | 0.0919554i | ||||
\(647\) | 4.29049 | + | 1.95940i | 0.168677 | + | 0.0770321i | 0.497964 | − | 0.867198i | \(-0.334081\pi\) |
−0.329287 | + | 0.944230i | \(0.606808\pi\) | |||||||
\(648\) | −0.725822 | + | 0.213121i | −0.0285130 | + | 0.00837217i | ||||
\(649\) | 6.13805 | − | 7.08368i | 0.240939 | − | 0.278059i | ||||
\(650\) | −0.544841 | + | 1.85556i | −0.0213704 | + | 0.0727810i | ||||
\(651\) | −1.49312 | + | 23.1574i | −0.0585201 | + | 0.907609i | ||||
\(652\) | −14.1897 | − | 31.0711i | −0.555712 | − | 1.21684i | ||||
\(653\) | −4.02357 | − | 4.64345i | −0.157455 | − | 0.181712i | 0.671541 | − | 0.740967i | \(-0.265633\pi\) |
−0.828996 | + | 0.559255i | \(0.811087\pi\) | |||||||
\(654\) | 2.15783 | + | 1.38675i | 0.0843778 | + | 0.0542263i | ||||
\(655\) | 24.7985 | + | 3.56549i | 0.968959 | + | 0.139315i | ||||
\(656\) | −24.6629 | − | 3.54600i | −0.962926 | − | 0.138448i | ||||
\(657\) | 0.629726 | − | 0.979873i | 0.0245680 | − | 0.0382285i | ||||
\(658\) | −0.185976 | − | 2.36693i | −0.00725011 | − | 0.0922726i | ||||
\(659\) | −13.5388 | + | 6.18296i | −0.527396 | + | 0.240854i | −0.661274 | − | 0.750144i | \(-0.729984\pi\) |
0.133878 | + | 0.990998i | \(0.457257\pi\) | |||||||
\(660\) | −15.6128 | + | 10.0337i | −0.607727 | + | 0.390563i | ||||
\(661\) | 34.2941 | + | 10.0697i | 1.33389 | + | 0.391664i | 0.869485 | − | 0.493960i | \(-0.164451\pi\) |
0.464402 | + | 0.885625i | \(0.346269\pi\) | |||||||
\(662\) | −0.524973 | + | 0.605851i | −0.0204036 | + | 0.0235471i | ||||
\(663\) | −14.9561 | + | 4.39150i | −0.580845 | + | 0.170552i | ||||
\(664\) | 3.61426 | − | 7.91413i | 0.140261 | − | 0.307128i | ||||
\(665\) | 13.4620 | + | 7.22872i | 0.522033 | + | 0.280318i | ||||
\(666\) | 1.59670i | 0.0618710i | ||||||||
\(667\) | 11.2062 | − | 25.0633i | 0.433905 | − | 0.970455i | ||||
\(668\) | 24.2637i | 0.938792i | ||||||||
\(669\) | −0.832762 | − | 5.79199i | −0.0321964 | − | 0.223931i | ||||
\(670\) | −6.41828 | − | 2.93113i | −0.247960 | − | 0.113239i | ||||
\(671\) | −0.171553 | − | 0.584257i | −0.00662275 | − | 0.0225550i | ||||
\(672\) | 5.76887 | − | 1.29737i | 0.222539 | − | 0.0500471i | ||||
\(673\) | 32.8145 | + | 9.63521i | 1.26491 | + | 0.371410i | 0.844318 | − | 0.535842i | \(-0.180006\pi\) |
0.420588 | + | 0.907252i | \(0.361824\pi\) | |||||||
\(674\) | 0.0386441 | + | 0.0601314i | 0.00148852 | + | 0.00231618i | ||||
\(675\) | 3.84862 | − | 1.75761i | 0.148133 | − | 0.0676503i | ||||
\(676\) | 9.34098 | + | 10.7801i | 0.359268 | + | 0.414618i | ||||
\(677\) | −23.6920 | − | 15.2259i | −0.910557 | − | 0.585180i | −0.000653966 | − | 1.00000i | \(-0.500208\pi\) |
−0.909903 | + | 0.414820i | \(0.863845\pi\) | |||||||
\(678\) | −0.0429221 | + | 0.298530i | −0.00164841 | + | 0.0114650i | ||||
\(679\) | −24.5731 | − | 24.2309i | −0.943031 | − | 0.929898i | ||||
\(680\) | −12.5841 | − | 8.08732i | −0.482579 | − | 0.310134i | ||||
\(681\) | −2.71397 | + | 2.35167i | −0.104000 | + | 0.0901162i | ||||
\(682\) | −2.16325 | − | 4.73687i | −0.0828353 | − | 0.181384i | ||||
\(683\) | −20.6531 | + | 13.2729i | −0.790268 | + | 0.507875i | −0.872427 | − | 0.488745i | \(-0.837455\pi\) |
0.0821586 | + | 0.996619i | \(0.473819\pi\) | |||||||
\(684\) | 3.58130 | + | 1.05156i | 0.136934 | + | 0.0402076i | ||||
\(685\) | −14.6600 | − | 12.7030i | −0.560131 | − | 0.485356i | ||||
\(686\) | −3.53018 | − | 0.177947i | −0.134783 | − | 0.00679403i | ||||
\(687\) | 14.1286 | + | 6.45230i | 0.539039 | + | 0.246171i | ||||
\(688\) | −9.33468 | + | 1.34212i | −0.355881 | + | 0.0511680i | ||||
\(689\) | 21.8960 | 0.834172 | ||||||||
\(690\) | 2.52036 | − | 1.17530i | 0.0959483 | − | 0.0447430i | ||||
\(691\) | 41.5705i | 1.58142i | 0.612192 | + | 0.790709i | \(0.290288\pi\) | ||||
−0.612192 | + | 0.790709i | \(0.709712\pi\) | |||||||
\(692\) | 10.7050 | − | 1.53914i | 0.406943 | − | 0.0585095i | ||||
\(693\) | 7.19600 | − | 3.99506i | 0.273353 | − | 0.151760i | ||||
\(694\) | 4.36418 | − | 1.28144i | 0.165662 | − | 0.0486428i | ||||
\(695\) | −19.4882 | − | 16.8866i | −0.739228 | − | 0.640545i | ||||
\(696\) | 1.22004 | − | 4.15508i | 0.0462456 | − | 0.157498i | ||||
\(697\) | −23.1777 | − | 36.0652i | −0.877917 | − | 1.36607i | ||||
\(698\) | −1.97713 | + | 0.902925i | −0.0748355 | + | 0.0341762i | ||||
\(699\) | 3.12657 | − | 2.70918i | 0.118258 | − | 0.102471i | ||||
\(700\) | −20.5402 | + | 7.82558i | −0.776346 | + | 0.295779i | ||||
\(701\) | 22.3557 | + | 3.21426i | 0.844362 | + | 0.121401i | 0.550902 | − | 0.834570i | \(-0.314284\pi\) |
0.293461 | + | 0.955971i | \(0.405193\pi\) | |||||||
\(702\) | 0.0650494 | − | 0.452429i | 0.00245513 | − | 0.0170758i | ||||
\(703\) | 8.59771 | − | 13.3783i | 0.324269 | − | 0.504572i | ||||
\(704\) | 16.7841 | − | 14.5435i | 0.632576 | − | 0.548130i | ||||
\(705\) | 5.93441 | + | 12.9946i | 0.223503 | + | 0.489403i | ||||
\(706\) | 1.17759 | + | 1.83237i | 0.0443193 | + | 0.0689622i | ||||
\(707\) | 14.7075 | + | 19.3625i | 0.553133 | + | 0.728200i | ||||
\(708\) | 3.87431 | − | 4.47119i | 0.145606 | − | 0.168038i | ||||
\(709\) | −2.23064 | − | 7.59688i | −0.0837736 | − | 0.285307i | 0.906942 | − | 0.421255i | \(-0.138410\pi\) |
−0.990716 | + | 0.135948i | \(0.956592\pi\) | |||||||
\(710\) | 1.80985 | − | 3.96302i | 0.0679224 | − | 0.148729i | ||||
\(711\) | −15.0819 | + | 2.16845i | −0.565616 | + | 0.0813233i | ||||
\(712\) | 3.90534 | 0.146359 | ||||||||
\(713\) | −12.1710 | − | 40.2641i | −0.455807 | − | 1.50790i | ||||
\(714\) | 2.64473 | + | 1.95103i | 0.0989764 | + | 0.0730155i | ||||
\(715\) | −3.22143 | − | 22.4055i | −0.120475 | − | 0.837919i | ||||
\(716\) | −7.83889 | + | 17.1648i | −0.292953 | + | 0.641478i | ||||
\(717\) | 0.541767 | + | 1.84509i | 0.0202327 | + | 0.0689061i | ||||
\(718\) | 2.04305 | + | 1.77031i | 0.0762458 | + | 0.0660674i | ||||
\(719\) | 7.42067 | − | 25.2725i | 0.276744 | − | 0.942504i | −0.697420 | − | 0.716663i | \(-0.745669\pi\) |
0.974164 | − | 0.225841i | \(-0.0725131\pi\) | |||||||
\(720\) | −9.66854 | + | 6.21359i | −0.360325 | + | 0.231567i | ||||
\(721\) | −44.5137 | − | 9.35697i | −1.65778 | − | 0.348472i | ||||
\(722\) | −1.92307 | − | 2.21935i | −0.0715694 | − | 0.0825955i | ||||
\(723\) | −4.00609 | + | 6.23359i | −0.148988 | + | 0.231830i | ||||
\(724\) | −0.249901 | + | 1.73810i | −0.00928748 | + | 0.0645959i | ||||
\(725\) | −3.44698 | + | 23.9743i | −0.128018 | + | 0.890382i | ||||
\(726\) | 0.136454 | − | 0.212327i | 0.00506429 | − | 0.00788019i | ||||
\(727\) | 0.216206 | + | 0.249515i | 0.00801865 | + | 0.00925401i | 0.759745 | − | 0.650221i | \(-0.225324\pi\) |
−0.751726 | + | 0.659475i | \(0.770778\pi\) | |||||||
\(728\) | −0.986011 | + | 4.69073i | −0.0365440 | + | 0.173850i | ||||
\(729\) | −0.841254 | + | 0.540641i | −0.0311575 | + | 0.0200237i | ||||
\(730\) | −0.190285 | + | 0.648052i | −0.00704277 | + | 0.0239855i | ||||
\(731\) | −12.2629 | − | 10.6259i | −0.453560 | − | 0.393012i | ||||
\(732\) | −0.108284 | − | 0.368781i | −0.00400229 | − | 0.0136305i | ||||
\(733\) | 14.5201 | − | 31.7946i | 0.536312 | − | 1.17436i | −0.426574 | − | 0.904452i | \(-0.640280\pi\) |
0.962886 | − | 0.269907i | \(-0.0869930\pi\) | |||||||
\(734\) | 0.762107 | + | 5.30057i | 0.0281299 | + | 0.195648i | ||||
\(735\) | 20.3202 | − | 6.27739i | 0.749523 | − | 0.231545i | ||||
\(736\) | −8.97034 | + | 5.86613i | −0.330651 | + | 0.216229i | ||||
\(737\) | 37.8539 | 1.39437 | ||||||||
\(738\) | 1.24433 | − | 0.178908i | 0.0458044 | − | 0.00658568i | ||||
\(739\) | −1.70501 | + | 3.73345i | −0.0627198 | + | 0.137337i | −0.938396 | − | 0.345561i | \(-0.887689\pi\) |
0.875677 | + | 0.482898i | \(0.160416\pi\) | |||||||
\(740\) | 14.0615 | + | 47.8890i | 0.516910 | + | 1.76043i | ||||
\(741\) | −2.98121 | + | 3.44050i | −0.109517 | + | 0.126390i | ||||
\(742\) | −2.79248 | − | 3.67630i | −0.102515 | − | 0.134961i | ||||
\(743\) | 7.79059 | + | 12.1224i | 0.285809 | + | 0.444728i | 0.954238 | − | 0.299048i | \(-0.0966692\pi\) |
−0.668429 | + | 0.743776i | \(0.733033\pi\) | |||||||
\(744\) | −2.75621 | − | 6.03525i | −0.101047 | − | 0.221263i | ||||
\(745\) | 10.9634 | − | 9.49980i | 0.401666 | − | 0.348046i | ||||
\(746\) | −0.986469 | + | 1.53498i | −0.0361172 | + | 0.0561994i | ||||
\(747\) | 1.63681 | − | 11.3843i | 0.0598879 | − | 0.416529i | ||||
\(748\) | 39.3524 | + | 5.65802i | 1.43886 | + | 0.206878i | ||||
\(749\) | 17.7541 | + | 46.6001i | 0.648722 | + | 1.70273i | ||||
\(750\) | 0.337015 | − | 0.292025i | 0.0123060 | − | 0.0106632i | ||||
\(751\) | −12.3963 | + | 5.66118i | −0.452346 | + | 0.206579i | −0.628542 | − | 0.777776i | \(-0.716348\pi\) |
0.176196 | + | 0.984355i | \(0.443621\pi\) | |||||||
\(752\) | −9.61593 | − | 14.9627i | −0.350657 | − | 0.545633i | ||||
\(753\) | −5.11160 | + | 17.4085i | −0.186277 | + | 0.634402i | ||||
\(754\) | 1.97752 | + | 1.71353i | 0.0720169 | + | 0.0624030i | ||||
\(755\) | 3.19212 | − | 0.937292i | 0.116173 | − | 0.0341116i | ||||
\(756\) | 4.54209 | − | 2.52167i | 0.165194 | − | 0.0917123i | ||||
\(757\) | 4.40815 | − | 0.633796i | 0.160217 | − | 0.0230357i | −0.0617396 | − | 0.998092i | \(-0.519665\pi\) |
0.221956 | + | 0.975057i | \(0.428756\pi\) | |||||||
\(758\) | − | 6.23476i | − | 0.226457i | ||||||
\(759\) | −9.68012 | + | 11.3525i | −0.351366 | + | 0.412069i | ||||
\(760\) | −4.36881 | −0.158473 | ||||||||
\(761\) | −13.0811 | + | 1.88077i | −0.474188 | + | 0.0681779i | −0.375266 | − | 0.926917i | \(-0.622449\pi\) |
−0.0989220 | + | 0.995095i | \(0.531539\pi\) | |||||||
\(762\) | −0.0835425 | − | 0.0381526i | −0.00302643 | − | 0.00138212i | ||||
\(763\) | −33.4024 | − | 12.1924i | −1.20925 | − | 0.441393i | ||||
\(764\) | 32.6729 | + | 28.3112i | 1.18206 | + | 1.02427i | ||||
\(765\) | −18.9736 | − | 5.57114i | −0.685991 | − | 0.201425i | ||||
\(766\) | −4.62137 | + | 2.96997i | −0.166977 | + | 0.107310i | ||||
\(767\) | 2.99759 | + | 6.56381i | 0.108237 | + | 0.237005i | ||||
\(768\) | 9.94938 | − | 8.62118i | 0.359017 | − | 0.311090i | ||||
\(769\) | −4.76841 | − | 3.06447i | −0.171953 | − | 0.110508i | 0.451833 | − | 0.892102i | \(-0.350770\pi\) |
−0.623787 | + | 0.781595i | \(0.714407\pi\) | |||||||
\(770\) | −3.35101 | + | 3.39833i | −0.120762 | + | 0.122467i | ||||
\(771\) | 2.45893 | − | 17.1022i | 0.0885561 | − | 0.615921i | ||||
\(772\) | 39.7056 | + | 25.5173i | 1.42904 | + | 0.918386i | ||||
\(773\) | −7.30555 | − | 8.43105i | −0.262762 | − | 0.303244i | 0.609003 | − | 0.793168i | \(-0.291570\pi\) |
−0.871765 | + | 0.489924i | \(0.837024\pi\) | |||||||
\(774\) | 0.432812 | − | 0.197659i | 0.0155571 | − | 0.00710469i | ||||
\(775\) | 20.0627 | + | 31.2182i | 0.720673 | + | 1.12139i | ||||
\(776\) | 9.46745 | + | 2.77989i | 0.339862 | + | 0.0997924i | ||||
\(777\) | −4.85659 | − | 21.5952i | −0.174229 | − | 0.774725i | ||||
\(778\) | 0.179134 | + | 0.610073i | 0.00642225 | + | 0.0218722i | ||||
\(779\) | −11.3892 | − | 5.20129i | −0.408062 | − | 0.186356i | ||||
\(780\) | −2.03335 | − | 14.1423i | −0.0728058 | − | 0.506375i | ||||
\(781\) | 23.3732i | 0.836359i | ||||||||
\(782\) | −5.72914 | − | 1.63289i | −0.204874 | − | 0.0583920i | ||||
\(783\) | − | 5.72465i | − | 0.204582i | ||||||
\(784\) | −23.9299 | + | 11.3366i | −0.854640 | + | 0.404880i | ||||
\(785\) | 20.1123 | − | 44.0399i | 0.717840 | − | 1.57185i | ||||
\(786\) | 1.51004 | − | 0.443388i | 0.0538614 | − | 0.0158151i | ||||
\(787\) | −2.32630 | + | 2.68470i | −0.0829238 | + | 0.0956992i | −0.795695 | − | 0.605697i | \(-0.792894\pi\) |
0.712771 | + | 0.701396i | \(0.247440\pi\) | |||||||
\(788\) | 7.46010 | + | 2.19048i | 0.265755 | + | 0.0780327i | ||||
\(789\) | 15.4461 | − | 9.92661i | 0.549896 | − | 0.353397i | ||||
\(790\) | 8.03694 | − | 3.67035i | 0.285941 | − | 0.130585i | ||||
\(791\) | −0.327502 | − | 4.16814i | −0.0116446 | − | 0.148202i | ||||
\(792\) | −1.27227 | + | 1.97969i | −0.0452082 | + | 0.0703454i | ||||
\(793\) | 0.464011 | + | 0.0667147i | 0.0164775 | + | 0.00236911i | ||||
\(794\) | 3.09617 | + | 0.445162i | 0.109879 | + | 0.0157982i | ||||
\(795\) | 23.3681 | + | 15.0178i | 0.828782 | + | 0.532626i | ||||
\(796\) | 19.4190 | + | 22.4107i | 0.688287 | + | 0.794326i | ||||
\(797\) | 15.7538 | + | 34.4960i | 0.558028 | + | 1.22191i | 0.952931 | + | 0.303187i | \(0.0980508\pi\) |
−0.394903 | + | 0.918723i | \(0.629222\pi\) | |||||||
\(798\) | 0.957858 | + | 0.0617600i | 0.0339078 | + | 0.00218628i | ||||
\(799\) | 8.62169 | − | 29.3628i | 0.305014 | − | 1.03878i | ||||
\(800\) | 6.19218 | − | 7.14616i | 0.218927 | − | 0.252655i | ||||
\(801\) | 4.95350 | − | 1.45448i | 0.175023 | − | 0.0513914i | ||||
\(802\) | −3.59947 | − | 1.64382i | −0.127102 | − | 0.0580455i | ||||
\(803\) | −0.515675 | − | 3.58660i | −0.0181978 | − | 0.126568i | ||||
\(804\) | 23.8933 | 0.842650 | ||||||||
\(805\) | −30.5127 | + | 23.5618i | −1.07543 | + | 0.830446i | ||||
\(806\) | 4.00898 | 0.141210 | ||||||||
\(807\) | −1.09872 | − | 7.64175i | −0.0386767 | − | 0.269002i | ||||
\(808\) | −6.32380 | − | 2.88798i | −0.222471 | − | 0.101599i | ||||
\(809\) | −5.07671 | + | 1.49066i | −0.178487 | + | 0.0524087i | −0.369755 | − | 0.929129i | \(-0.620558\pi\) |
0.191268 | + | 0.981538i | \(0.438740\pi\) | |||||||
\(810\) | 0.379729 | − | 0.438231i | 0.0133423 | − | 0.0153979i | ||||
\(811\) | −5.00423 | + | 17.0428i | −0.175722 | + | 0.598455i | 0.823780 | + | 0.566909i | \(0.191861\pi\) |
−0.999502 | + | 0.0315455i | \(0.989957\pi\) | |||||||
\(812\) | −1.91360 | + | 29.6787i | −0.0671542 | + | 1.04152i | ||||
\(813\) | −11.8395 | − | 25.9248i | −0.415228 | − | 0.909223i | ||||
\(814\) | 3.25279 | + | 3.75392i | 0.114010 | + | 0.131575i | ||||
\(815\) | 44.4626 | + | 28.5744i | 1.55746 | + | 1.00092i | ||||
\(816\) | 24.3697 | + | 3.50384i | 0.853112 | + | 0.122659i | ||||
\(817\) | −4.69073 | − | 0.674425i | −0.164108 | − | 0.0235951i | ||||
\(818\) | −2.27308 | + | 3.53698i | −0.0794764 | + | 0.123668i | ||||
\(819\) | 0.496336 | + | 6.31691i | 0.0173434 | + | 0.220731i | ||||
\(820\) | 35.7449 | − | 16.3242i | 1.24827 | − | 0.570064i | ||||
\(821\) | 16.1726 | − | 10.3935i | 0.564429 | − | 0.362736i | −0.227097 | − | 0.973872i | \(-0.572923\pi\) |
0.791526 | + | 0.611136i | \(0.209287\pi\) | |||||||
\(822\) | −1.16917 | − | 0.343298i | −0.0407794 | − | 0.0119739i | ||||
\(823\) | 31.8450 | − | 36.7511i | 1.11005 | − | 1.28106i | 0.153931 | − | 0.988082i | \(-0.450807\pi\) |
0.956118 | − | 0.292983i | \(-0.0946479\pi\) | |||||||
\(824\) | 12.4785 | − | 3.66403i | 0.434711 | − | 0.127643i | ||||
\(825\) | 5.46770 | − | 11.9726i | 0.190361 | − | 0.416832i | ||||
\(826\) | 0.719757 | − | 1.34040i | 0.0250436 | − | 0.0466384i | ||||
\(827\) | 12.7332i | 0.442778i | 0.975186 | + | 0.221389i | \(0.0710590\pi\) | ||||
−0.975186 | + | 0.221389i | \(0.928941\pi\) | |||||||
\(828\) | −6.11006 | + | 7.16565i | −0.212339 | + | 0.249024i | ||||
\(829\) | − | 24.4748i | − | 0.850045i | −0.905183 | − | 0.425022i | \(-0.860266\pi\) | ||
0.905183 | − | 0.425022i | \(-0.139734\pi\) | |||||||
\(830\) | 0.949126 | + | 6.60132i | 0.0329447 | + | 0.229135i | ||||
\(831\) | 12.5725 | + | 5.74169i | 0.436137 | + | 0.199177i | ||||
\(832\) | 4.81689 | + | 16.4048i | 0.166996 | + | 0.568735i | ||||
\(833\) | −41.7040 | − | 18.3432i | −1.44496 | − | 0.635554i | ||||
\(834\) | −1.55422 | − | 0.456360i | −0.0538182 | − | 0.0158025i | ||||
\(835\) | −20.2975 | − | 31.5835i | −0.702424 | − | 1.09299i | ||||
\(836\) | 10.5620 | − | 4.82352i | 0.365296 | − | 0.166825i | ||||
\(837\) | −5.74368 | − | 6.62856i | −0.198531 | − | 0.229116i | ||||
\(838\) | −0.644597 | − | 0.414257i | −0.0222672 | − | 0.0143103i | ||||
\(839\) | 4.81555 | − | 33.4929i | 0.166251 | − | 1.15630i | −0.720296 | − | 0.693666i | \(-0.755994\pi\) |
0.886548 | − | 0.462637i | \(-0.153097\pi\) | |||||||
\(840\) | −4.26952 | + | 4.32982i | −0.147313 | + | 0.149393i | ||||
\(841\) | 3.17291 | + | 2.03911i | 0.109411 | + | 0.0703140i | ||||
\(842\) | −0.952809 | + | 0.825614i | −0.0328360 | + | 0.0284525i | ||||
\(843\) | −10.3861 | − | 22.7425i | −0.357718 | − | 0.783292i | ||||
\(844\) | −21.1535 | + | 13.5945i | −0.728134 | + | 0.467943i | ||||
\(845\) | −21.1768 | − | 6.21808i | −0.728506 | − | 0.213909i | ||||
\(846\) | 0.678190 | + | 0.587655i | 0.0233166 | + | 0.0202040i | ||||
\(847\) | −1.19971 | + | 3.28674i | −0.0412224 | + | 0.112934i | ||||
\(848\) | −31.4593 | − | 14.3670i | −1.08032 | − | 0.493365i | ||||
\(849\) | −1.90949 | + | 0.274543i | −0.0655335 | + | 0.00942230i | ||||
\(850\) | 5.25563 | 0.180266 | ||||||||
\(851\) | 21.9593 | + | 33.5796i | 0.752756 | + | 1.15110i | ||||
\(852\) | 14.7531i | 0.505432i | ||||||||
\(853\) | −38.6872 | + | 5.56239i | −1.32463 | + | 0.190452i | −0.768074 | − | 0.640361i | \(-0.778785\pi\) |
−0.556552 | + | 0.830813i | \(0.687876\pi\) | |||||||
\(854\) | −0.0479758 | − | 0.0864150i | −0.00164170 | − | 0.00295706i | ||||
\(855\) | −5.54137 | + | 1.62709i | −0.189511 | + | 0.0556454i | ||||
\(856\) | −10.7755 | − | 9.33699i | −0.368298 | − | 0.319132i | ||||
\(857\) | 9.15856 | − | 31.1912i | 0.312850 | − | 1.06547i | −0.641585 | − | 0.767052i | \(-0.721723\pi\) |
0.954435 | − | 0.298419i | \(-0.0964591\pi\) | |||||||
\(858\) | −0.768750 | − | 1.19620i | −0.0262447 | − | 0.0408375i | ||||
\(859\) | −10.2224 | + | 4.66841i | −0.348784 | + | 0.159284i | −0.582101 | − | 0.813116i | \(-0.697769\pi\) |
0.233317 | + | 0.972401i | \(0.425042\pi\) | |||||||
\(860\) | 11.2404 | − | 9.73985i | 0.383294 | − | 0.332126i | ||||
\(861\) | −16.2853 | + | 6.20451i | −0.555000 | + | 0.211449i | ||||
\(862\) | 5.14886 | + | 0.740295i | 0.175371 | + | 0.0252145i | ||||
\(863\) | −5.41663 | + | 37.6735i | −0.184384 | + | 1.28242i | 0.661861 | + | 0.749626i | \(0.269767\pi\) |
−0.846245 | + | 0.532793i | \(0.821142\pi\) | |||||||
\(864\) | −1.20827 | + | 1.88011i | −0.0411062 | + | 0.0639625i | ||||
\(865\) | −12.6469 | + | 10.9586i | −0.430007 | + | 0.372603i | ||||
\(866\) | −2.01277 | − | 4.40734i | −0.0683966 | − | 0.149768i | ||||
\(867\) | 13.7112 | + | 21.3351i | 0.465658 | + | 0.724578i | ||||
\(868\) | 27.5616 | + | 36.2848i | 0.935501 | + | 1.23159i | ||||
\(869\) | −31.0407 | + | 35.8229i | −1.05298 | + | 1.21521i | ||||
\(870\) | 0.935214 | + | 3.18505i | 0.0317067 | + | 0.107983i | ||||
\(871\) | −12.1060 | + | 26.5085i | −0.410197 | + | 0.898207i | ||||
\(872\) | 10.0632 | − | 1.44686i | 0.340781 | − | 0.0489970i | ||||
\(873\) | 13.0438 | 0.441464 | ||||||||
\(874\) | −1.66544 | + | 0.503428i | −0.0563345 | + | 0.0170287i | ||||
\(875\) | −3.66986 | + | 4.97468i | −0.124064 | + | 0.168175i | ||||
\(876\) | −0.325492 | − | 2.26385i | −0.0109974 | − | 0.0764883i | ||||
\(877\) | −11.8693 | + | 25.9902i | −0.400799 | + | 0.877627i | 0.596390 | + | 0.802695i | \(0.296601\pi\) |
−0.997189 | + | 0.0749318i | \(0.976126\pi\) | |||||||
\(878\) | 0.786180 | + | 2.67748i | 0.0265323 | + | 0.0903607i | ||||
\(879\) | 8.65618 | + | 7.50063i | 0.291966 | + | 0.252990i | ||||
\(880\) | −10.0729 | + | 34.3051i | −0.339557 | + | 1.15642i | ||||
\(881\) | −39.5165 | + | 25.3957i | −1.33135 | + | 0.855604i | −0.996245 | − | 0.0865779i | \(-0.972407\pi\) |
−0.335101 | + | 0.942182i | \(0.608770\pi\) | |||||||
\(882\) | 0.997297 | − | 0.888952i | 0.0335807 | − | 0.0299326i | ||||
\(883\) | 19.3382 | + | 22.3174i | 0.650781 | + | 0.751041i | 0.981242 | − | 0.192778i | \(-0.0617498\pi\) |
−0.330462 | + | 0.943819i | \(0.607204\pi\) | |||||||
\(884\) | −16.5475 | + | 25.7484i | −0.556552 | + | 0.866011i | ||||
\(885\) | −1.30278 | + | 9.06105i | −0.0437926 | + | 0.304584i | ||||
\(886\) | 0.804961 | − | 5.59863i | 0.0270432 | − | 0.188090i | ||||
\(887\) | −14.0722 | + | 21.8968i | −0.472499 | + | 0.735223i | −0.992933 | − | 0.118679i | \(-0.962134\pi\) |
0.520434 | + | 0.853902i | \(0.325770\pi\) | |||||||
\(888\) | 4.14439 | + | 4.78288i | 0.139076 | + | 0.160503i | ||||
\(889\) | 1.24595 | + | 0.261904i | 0.0417878 | + | 0.00878397i | ||||
\(890\) | −2.51838 | + | 1.61847i | −0.0844164 | + | 0.0542511i | ||||
\(891\) | −0.876435 | + | 2.98486i | −0.0293617 | + | 0.0999967i | ||||
\(892\) | −8.68352 | − | 7.52432i | −0.290746 | − | 0.251933i | ||||
\(893\) | −2.51803 | − | 8.57561i | −0.0842626 | − | 0.286972i | ||||
\(894\) | 0.378552 | − | 0.828913i | 0.0126607 | − | 0.0277230i | ||||
\(895\) | −4.15527 | − | 28.9005i | −0.138895 | − | 0.966037i | ||||
\(896\) | 9.16047 | − | 12.4175i | 0.306030 | − | 0.414840i | ||||
\(897\) | −4.85419 | − | 10.4095i | −0.162077 | − | 0.347562i | ||||
\(898\) | 4.10975 | 0.137144 | ||||||||
\(899\) | 49.6989 | − | 7.14563i | 1.65755 | − | 0.238320i | ||||
\(900\) | 3.45119 | − | 7.55705i | 0.115040 | − | 0.251902i | ||||
\(901\) | −16.7646 | − | 57.0951i | −0.558511 | − | 1.90211i | ||||
\(902\) | 2.56101 | − | 2.95556i | 0.0852722 | − | 0.0984094i | ||||
\(903\) | −5.25253 | + | 3.98977i | −0.174793 | + | 0.132771i | ||||
\(904\) | 0.646289 | + | 1.00565i | 0.0214953 | + | 0.0334473i | ||||
\(905\) | −1.12869 | − | 2.47149i | −0.0375190 | − | 0.0821551i | ||||
\(906\) | 0.157941 | − | 0.136856i | 0.00524722 | − | 0.00454675i | ||||
\(907\) | 19.1319 | − | 29.7698i | 0.635263 | − | 0.988488i | −0.363126 | − | 0.931740i | \(-0.618290\pi\) |
0.998389 | − | 0.0567482i | \(-0.0180732\pi\) | |||||||
\(908\) | −1.00352 | + | 6.97962i | −0.0333029 | + | 0.231627i | ||||
\(909\) | −9.09664 | − | 1.30790i | −0.301716 | − | 0.0433803i | ||||
\(910\) | −1.30812 | − | 3.43348i | −0.0433637 | − | 0.113819i | ||||
\(911\) | 10.5229 | − | 9.11814i | 0.348639 | − | 0.302097i | −0.462883 | − | 0.886419i | \(-0.653185\pi\) |
0.811522 | + | 0.584322i | \(0.198639\pi\) | |||||||
\(912\) | 6.54075 | − | 2.98706i | 0.216586 | − | 0.0989115i | ||||
\(913\) | −19.3437 | − | 30.0995i | −0.640185 | − | 0.996147i | ||||
\(914\) | −0.434701 | + | 1.48046i | −0.0143786 | + | 0.0489692i | ||||
\(915\) | 0.449450 | + | 0.389450i | 0.0148583 | + | 0.0128748i | ||||
\(916\) | 29.2632 | − | 8.59245i | 0.966883 | − | 0.283902i | ||||
\(917\) | −19.0745 | + | 10.5898i | −0.629896 | + | 0.349705i | ||||
\(918\) | −1.22954 | + | 0.176781i | −0.0405808 | + | 0.00583464i | ||||
\(919\) | 6.46673i | 0.213318i | 0.994296 | + | 0.106659i | \(0.0340153\pi\) | ||||
−0.994296 | + | 0.106659i | \(0.965985\pi\) | |||||||
\(920\) | 4.49905 | − | 10.0624i | 0.148329 | − | 0.331747i | ||||
\(921\) | 5.61949 | 0.185168 | ||||||||
\(922\) | 3.58446 | − | 0.515367i | 0.118048 | − | 0.0169727i | ||||
\(923\) | −16.3679 | − | 7.47497i | −0.538756 | − | 0.246042i | ||||
\(924\) | 5.54152 | − | 15.1817i | 0.182303 | − | 0.499440i | ||||
\(925\) | −26.7510 | − | 23.1799i | −0.879567 | − | 0.762150i | ||||
\(926\) | −3.93001 | − | 1.15395i | −0.129148 | − | 0.0379213i | ||||
\(927\) | 14.4631 | − | 9.29485i | 0.475030 | − | 0.305283i | ||||
\(928\) | −5.31480 | − | 11.6378i | −0.174467 | − | 0.382029i | ||||
\(929\) | −34.9539 | + | 30.2877i | −1.14680 | + | 0.993707i | −0.146809 | + | 0.989165i | \(0.546900\pi\) |
−0.999990 | + | 0.00454191i | \(0.998554\pi\) | |||||||
\(930\) | 4.27851 | + | 2.74963i | 0.140298 | + | 0.0901640i | ||||
\(931\) | −13.1428 | + | 2.07816i | −0.430737 | + | 0.0681088i | ||||
\(932\) | 1.15608 | − | 8.04070i | 0.0378686 | − | 0.263382i | ||||
\(933\) | 7.49922 | + | 4.81945i | 0.245513 | + | 0.157782i | ||||
\(934\) | 3.59325 | + | 4.14684i | 0.117575 | + | 0.135689i | ||||
\(935\) | −55.9572 | + | 25.5548i | −1.83000 | + | 0.835731i | ||||
\(936\) | −0.979465 | − | 1.52408i | −0.0320148 | − | 0.0498160i | ||||
\(937\) | 57.0430 | + | 16.7493i | 1.86351 | + | 0.547177i | 0.999007 | + | 0.0445557i | \(0.0141872\pi\) |
0.864507 | + | 0.502621i | \(0.167631\pi\) | |||||||
\(938\) | 5.99466 | − | 1.34815i | 0.195733 | − | 0.0440186i | ||||
\(939\) | 8.97567 | + | 30.5683i | 0.292910 | + | 0.997559i | ||||
\(940\) | 25.5158 | + | 11.6527i | 0.832233 | + | 0.380068i | ||||
\(941\) | −3.13266 | − | 21.7881i | −0.102122 | − | 0.710272i | −0.974979 | − | 0.222297i | \(-0.928645\pi\) |
0.872857 | − | 0.487975i | \(-0.162264\pi\) | |||||||
\(942\) | − | 3.04129i | − | 0.0990907i | ||||||
\(943\) | 23.7085 | − | 20.8757i | 0.772056 | − | 0.679807i | ||||
\(944\) | − | 11.3975i | − | 0.370956i | ||||||
\(945\) | −3.80286 | + | 7.08202i | −0.123707 | + | 0.230378i | ||||
\(946\) | 0.614892 | − | 1.34642i | 0.0199919 | − | 0.0437761i | ||||
\(947\) | 56.7113 | − | 16.6519i | 1.84287 | − | 0.541115i | 0.842873 | − | 0.538112i | \(-0.180862\pi\) |
0.999995 | − | 0.00300292i | \(-0.000955859\pi\) | |||||||
\(948\) | −19.5928 | + | 22.6113i | −0.636344 | + | 0.734380i | ||||
\(949\) | 2.67656 | + | 0.785908i | 0.0868847 | + | 0.0255117i | ||||
\(950\) | 1.29128 | − | 0.829853i | 0.0418945 | − | 0.0269240i | ||||
\(951\) | 8.58823 | − | 3.92211i | 0.278492 | − | 0.127183i | ||||
\(952\) | 12.9863 | − | 1.02037i | 0.420888 | − | 0.0330703i | ||||
\(953\) | −22.6342 | + | 35.2196i | −0.733195 | + | 1.14087i | 0.251714 | + | 0.967802i | \(0.419006\pi\) |
−0.984909 | + | 0.173072i | \(0.944631\pi\) | |||||||
\(954\) | 1.72716 | + | 0.248328i | 0.0559188 | + | 0.00803990i | ||||
\(955\) | −66.2130 | − | 9.51999i | −2.14260 | − | 0.308060i | ||||
\(956\) | 3.17651 | + | 2.04142i | 0.102736 | + | 0.0660242i | ||||
\(957\) | −11.6622 | − | 13.4589i | −0.376986 | − | 0.435065i | ||||
\(958\) | 1.10029 | + | 2.40929i | 0.0355486 | + | 0.0778406i | ||||
\(959\) | 16.8570 | + | 1.08689i | 0.544342 | + | 0.0350977i | ||||
\(960\) | −6.11081 | + | 20.8115i | −0.197226 | + | 0.671688i | ||||
\(961\) | 30.0762 | − | 34.7098i | 0.970199 | − | 1.11967i | ||||
\(962\) | −3.66908 | + | 1.07734i | −0.118296 | + | 0.0347349i | ||||
\(963\) | −17.1449 | − | 7.82982i | −0.552487 | − | 0.252312i | ||||
\(964\) | 2.07066 | + | 14.4018i | 0.0666915 | + | 0.463850i | ||||
\(965\) | −73.0300 | −2.35092 | ||||||||
\(966\) | −1.12866 | + | 2.14257i | −0.0363140 | + | 0.0689360i | ||||
\(967\) | −37.8330 | −1.21663 | −0.608313 | − | 0.793697i | \(-0.708154\pi\) | ||||
−0.608313 | + | 0.793697i | \(0.708154\pi\) | |||||||
\(968\) | −0.142369 | − | 0.990198i | −0.00457591 | − | 0.0318262i | ||||
\(969\) | 11.2538 | + | 5.13946i | 0.361525 | + | 0.165103i | ||||
\(970\) | −7.25721 | + | 2.13091i | −0.233015 | + | 0.0684193i | ||||
\(971\) | 12.8561 | − | 14.8367i | 0.412572 | − | 0.476133i | −0.510988 | − | 0.859588i | \(-0.670720\pi\) |
0.923560 | + | 0.383455i | \(0.125266\pi\) | |||||||
\(972\) | −0.553203 | + | 1.88404i | −0.0177440 | + | 0.0604305i | ||||
\(973\) | 22.4087 | + | 1.44485i | 0.718391 | + | 0.0463199i | ||||
\(974\) | −1.29519 | − | 2.83607i | −0.0415006 | − | 0.0908737i | ||||
\(975\) | 6.63560 | + | 7.65789i | 0.212509 | + | 0.245249i | ||||
\(976\) | −0.622898 | − | 0.400312i | −0.0199385 | − | 0.0128137i | ||||
\(977\) | 13.7435 | + | 1.97601i | 0.439693 | + | 0.0632183i | 0.358607 | − | 0.933489i | \(-0.383252\pi\) |
0.0810863 | + | 0.996707i | \(0.474161\pi\) | |||||||
\(978\) | 3.28626 | + | 0.472493i | 0.105083 | + | 0.0151087i | ||||
\(979\) | 8.68284 | − | 13.5108i | 0.277505 | − | 0.431806i | ||||
\(980\) | 22.0827 | − | 35.4446i | 0.705407 | − | 1.13224i | ||||
\(981\) | 12.2252 | − | 5.58304i | 0.390319 | − | 0.178253i | ||||
\(982\) | −3.96708 | + | 2.54949i | −0.126595 | + | 0.0813575i | ||||
\(983\) | −16.3333 | − | 4.79589i | −0.520951 | − | 0.152965i | 0.0106768 | − | 0.999943i | \(-0.496601\pi\) |
−0.531628 | + | 0.846978i | \(0.678420\pi\) | |||||||
\(984\) | 3.26298 | − | 3.76568i | 0.104020 | − | 0.120046i | ||||
\(985\) | −11.5431 | + | 3.38935i | −0.367792 | + | 0.107994i | ||||
\(986\) | 2.95404 | − | 6.46844i | 0.0940758 | − | 0.205997i | ||||
\(987\) | −10.9599 | − | 5.88516i | −0.348857 | − | 0.187327i | ||||
\(988\) | 8.93904i | 0.284389i | ||||||||
\(989\) | 6.38392 | − | 10.1093i | 0.202997 | − | 0.321457i | ||||
\(990\) | − | 1.80388i | − | 0.0573311i | ||||||
\(991\) | 0.520711 | + | 3.62162i | 0.0165409 | + | 0.115045i | 0.996419 | − | 0.0845520i | \(-0.0269459\pi\) |
−0.979878 | + | 0.199597i | \(0.936037\pi\) | |||||||
\(992\) | −17.8304 | − | 8.14289i | −0.566117 | − | 0.258537i | ||||
\(993\) | 1.18338 | + | 4.03021i | 0.0375533 | + | 0.127895i | ||||
\(994\) | 0.832425 | + | 3.70145i | 0.0264029 | + | 0.117403i | ||||
\(995\) | −44.0246 | − | 12.9268i | −1.39567 | − | 0.409807i | ||||
\(996\) | −12.2097 | − | 18.9987i | −0.386879 | − | 0.601996i | ||||
\(997\) | −8.07369 | + | 3.68713i | −0.255696 | + | 0.116773i | −0.539140 | − | 0.842216i | \(-0.681250\pi\) |
0.283443 | + | 0.958989i | \(0.408523\pi\) | |||||||
\(998\) | 3.65521 | + | 4.21833i | 0.115703 | + | 0.133529i | ||||
\(999\) | 7.03801 | + | 4.52305i | 0.222673 | + | 0.143103i |
(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 | 483.2.r.a.181.18 | yes | 320 | |
7.6 | odd | 2 | inner | 483.2.r.a.181.17 | ✓ | 320 | |
23.15 | odd | 22 | inner | 483.2.r.a.475.17 | yes | 320 | |
161.153 | even | 22 | inner | 483.2.r.a.475.18 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.r.a.181.17 | ✓ | 320 | 7.6 | odd | 2 | inner | |
483.2.r.a.181.18 | yes | 320 | 1.1 | even | 1 | trivial | |
483.2.r.a.475.17 | yes | 320 | 23.15 | odd | 22 | inner | |
483.2.r.a.475.18 | yes | 320 | 161.153 | even | 22 | inner |