Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(26,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([33, 55, 48]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.26");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bb (of order \(66\), degree \(20\), 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: | \(1200\) |
Relative dimension: | \(60\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 26.7 | ||
Character | \(\chi\) | \(=\) | 483.26 |
Dual form | 483.2.bb.a.353.7 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{8}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.901659 | + | 2.25223i | −0.637569 | + | 1.59257i | 0.158496 | + | 0.987360i | \(0.449335\pi\) |
−0.796065 | + | 0.605211i | \(0.793089\pi\) | |||||||
\(3\) | −1.16696 | − | 1.27992i | −0.673745 | − | 0.738964i | ||||
\(4\) | −2.81210 | − | 2.68133i | −1.40605 | − | 1.34067i | ||||
\(5\) | 0.232309 | + | 0.671212i | 0.103892 | + | 0.300175i | 0.984952 | − | 0.172829i | \(-0.0552908\pi\) |
−0.881060 | + | 0.473004i | \(0.843170\pi\) | |||||||
\(6\) | 3.93489 | − | 1.47421i | 1.60641 | − | 0.601845i | ||||
\(7\) | −2.47888 | + | 0.924746i | −0.936928 | + | 0.349521i | ||||
\(8\) | 4.16099 | − | 1.90026i | 1.47113 | − | 0.671843i | ||||
\(9\) | −0.276410 | + | 2.98724i | −0.0921366 | + | 0.995746i | ||||
\(10\) | −1.72119 | − | 0.0819904i | −0.544288 | − | 0.0259276i | ||||
\(11\) | −1.11141 | − | 2.77616i | −0.335101 | − | 0.837043i | −0.996228 | − | 0.0867688i | \(-0.972346\pi\) |
0.661127 | − | 0.750274i | \(-0.270078\pi\) | |||||||
\(12\) | −0.150293 | + | 6.72829i | −0.0433859 | + | 1.94229i | ||||
\(13\) | 1.79409 | − | 2.79165i | 0.497590 | − | 0.774266i | −0.498089 | − | 0.867126i | \(-0.665965\pi\) |
0.995679 | + | 0.0928604i | \(0.0296010\pi\) | |||||||
\(14\) | 0.152358 | − | 6.41682i | 0.0407193 | − | 1.71497i | ||||
\(15\) | 0.588005 | − | 1.08061i | 0.151822 | − | 0.279014i | ||||
\(16\) | 0.158276 | + | 3.32262i | 0.0395689 | + | 0.830654i | ||||
\(17\) | 0.311556 | + | 1.28425i | 0.0755635 | + | 0.311477i | 0.997033 | − | 0.0769734i | \(-0.0245257\pi\) |
−0.921470 | + | 0.388450i | \(0.873011\pi\) | |||||||
\(18\) | −6.47874 | − | 3.31601i | −1.52705 | − | 0.781591i | ||||
\(19\) | 2.07491 | + | 0.503368i | 0.476017 | + | 0.115480i | 0.466587 | − | 0.884475i | \(-0.345483\pi\) |
0.00942943 | + | 0.999956i | \(0.496998\pi\) | |||||||
\(20\) | 1.14647 | − | 2.51041i | 0.256358 | − | 0.561346i | ||||
\(21\) | 4.07636 | + | 2.09364i | 0.889534 | + | 0.456869i | ||||
\(22\) | 7.25466 | 1.54670 | ||||||||
\(23\) | 3.64870 | − | 3.11239i | 0.760807 | − | 0.648978i | ||||
\(24\) | −7.28790 | − | 3.10822i | −1.48764 | − | 0.634463i | ||||
\(25\) | 3.53371 | − | 2.77894i | 0.706741 | − | 0.555788i | ||||
\(26\) | 4.66981 | + | 6.55782i | 0.915824 | + | 1.28610i | ||||
\(27\) | 4.14600 | − | 3.13220i | 0.797898 | − | 0.602793i | ||||
\(28\) | 9.45042 | + | 4.04622i | 1.78596 | + | 0.764664i | ||||
\(29\) | −2.16566 | + | 7.37555i | −0.402152 | + | 1.36961i | 0.470989 | + | 0.882139i | \(0.343897\pi\) |
−0.873142 | + | 0.487466i | \(0.837921\pi\) | |||||||
\(30\) | 1.90362 | + | 2.29867i | 0.347551 | + | 0.419678i | ||||
\(31\) | 6.52586 | + | 4.64704i | 1.17208 | + | 0.834634i | 0.988920 | − | 0.148450i | \(-0.0474283\pi\) |
0.183159 | + | 0.983083i | \(0.441368\pi\) | |||||||
\(32\) | 1.01954 | + | 0.352865i | 0.180230 | + | 0.0623784i | ||||
\(33\) | −2.25630 | + | 4.66218i | −0.392772 | + | 0.811581i | ||||
\(34\) | −3.17335 | − | 0.456259i | −0.544226 | − | 0.0782478i | ||||
\(35\) | −1.19657 | − | 1.44903i | −0.202257 | − | 0.244930i | ||||
\(36\) | 8.78708 | − | 7.65928i | 1.46451 | − | 1.27655i | ||||
\(37\) | −1.52829 | + | 0.294554i | −0.251250 | + | 0.0484244i | −0.313321 | − | 0.949647i | \(-0.601442\pi\) |
0.0620713 | + | 0.998072i | \(0.480229\pi\) | |||||||
\(38\) | −3.00456 | + | 4.21932i | −0.487404 | + | 0.684463i | ||||
\(39\) | −5.66673 | + | 0.961453i | −0.907403 | + | 0.153956i | ||||
\(40\) | 2.24211 | + | 2.35146i | 0.354509 | + | 0.371798i | ||||
\(41\) | −1.99209 | + | 2.29899i | −0.311112 | + | 0.359042i | −0.889674 | − | 0.456596i | \(-0.849068\pi\) |
0.578562 | + | 0.815638i | \(0.303614\pi\) | |||||||
\(42\) | −8.39084 | + | 7.29317i | −1.29473 | + | 1.12536i | ||||
\(43\) | 4.44619 | − | 9.73581i | 0.678038 | − | 1.48470i | −0.186670 | − | 0.982423i | \(-0.559770\pi\) |
0.864708 | − | 0.502274i | \(-0.167503\pi\) | |||||||
\(44\) | −4.31842 | + | 10.7869i | −0.651026 | + | 1.62618i | ||||
\(45\) | −2.06928 | + | 0.508432i | −0.308471 | + | 0.0757926i | ||||
\(46\) | 3.71994 | + | 11.0240i | 0.548475 | + | 1.62541i | ||||
\(47\) | 2.79526 | − | 4.84154i | 0.407731 | − | 0.706211i | −0.586904 | − | 0.809657i | \(-0.699653\pi\) |
0.994635 | + | 0.103446i | \(0.0329867\pi\) | |||||||
\(48\) | 4.06799 | − | 4.07994i | 0.587164 | − | 0.588889i | ||||
\(49\) | 5.28969 | − | 4.58467i | 0.755670 | − | 0.654953i | ||||
\(50\) | 3.07262 | + | 10.4644i | 0.434534 | + | 1.47989i | ||||
\(51\) | 1.28017 | − | 1.89744i | 0.179260 | − | 0.265695i | ||||
\(52\) | −12.5305 | + | 3.03987i | −1.73767 | + | 0.421554i | ||||
\(53\) | 3.66072 | − | 7.10081i | 0.502839 | − | 0.975371i | −0.491677 | − | 0.870778i | \(-0.663616\pi\) |
0.994515 | − | 0.104593i | \(-0.0333539\pi\) | |||||||
\(54\) | 3.31618 | + | 12.1619i | 0.451275 | + | 1.65503i | ||||
\(55\) | 1.60520 | − | 1.39091i | 0.216445 | − | 0.187551i | ||||
\(56\) | −8.55733 | + | 8.55838i | −1.14352 | + | 1.14366i | ||||
\(57\) | −1.77706 | − | 3.24314i | −0.235378 | − | 0.429564i | ||||
\(58\) | −14.6588 | − | 11.5278i | −1.92479 | − | 1.51367i | ||||
\(59\) | 0.0665143 | − | 1.39631i | 0.00865942 | − | 0.181784i | −0.990394 | − | 0.138276i | \(-0.955844\pi\) |
0.999053 | − | 0.0435073i | \(-0.0138532\pi\) | |||||||
\(60\) | −4.55102 | + | 1.46216i | −0.587534 | + | 0.188764i | ||||
\(61\) | −0.497275 | + | 5.20770i | −0.0636696 | + | 0.666778i | 0.906150 | + | 0.422956i | \(0.139007\pi\) |
−0.969820 | + | 0.243822i | \(0.921599\pi\) | |||||||
\(62\) | −16.3503 | + | 10.5077i | −2.07649 | + | 1.33448i | ||||
\(63\) | −2.07725 | − | 7.66062i | −0.261709 | − | 0.965147i | ||||
\(64\) | −6.07065 | + | 7.00590i | −0.758831 | + | 0.875737i | ||||
\(65\) | 2.29057 | + | 0.555687i | 0.284111 | + | 0.0689245i | ||||
\(66\) | −8.46590 | − | 9.28542i | −1.04208 | − | 1.14296i | ||||
\(67\) | 7.36286 | − | 5.79021i | 0.899516 | − | 0.707387i | −0.0572146 | − | 0.998362i | \(-0.518222\pi\) |
0.956731 | + | 0.290975i | \(0.0939795\pi\) | |||||||
\(68\) | 2.56738 | − | 4.44684i | 0.311341 | − | 0.539258i | ||||
\(69\) | −8.24151 | − | 1.03803i | −0.992161 | − | 0.124964i | ||||
\(70\) | 4.34244 | − | 1.38842i | 0.519021 | − | 0.165948i | ||||
\(71\) | −0.417778 | + | 0.0600674i | −0.0495811 | + | 0.00712869i | −0.167061 | − | 0.985947i | \(-0.553428\pi\) |
0.117480 | + | 0.993075i | \(0.462519\pi\) | |||||||
\(72\) | 4.52639 | + | 12.9551i | 0.533441 | + | 1.52678i | ||||
\(73\) | −4.46926 | + | 4.68722i | −0.523087 | + | 0.548598i | −0.931283 | − | 0.364296i | \(-0.881310\pi\) |
0.408196 | + | 0.912894i | \(0.366158\pi\) | |||||||
\(74\) | 0.714592 | − | 3.70766i | 0.0830697 | − | 0.431006i | ||||
\(75\) | −7.68052 | − | 1.27997i | −0.886870 | − | 0.147798i | ||||
\(76\) | −4.48516 | − | 6.97905i | −0.514483 | − | 0.800552i | ||||
\(77\) | 5.32228 | + | 5.85399i | 0.606530 | + | 0.667124i | ||||
\(78\) | 2.94404 | − | 13.6297i | 0.333347 | − | 1.54326i | ||||
\(79\) | 3.81724 | − | 1.96793i | 0.429474 | − | 0.221409i | −0.229916 | − | 0.973210i | \(-0.573845\pi\) |
0.659389 | + | 0.751802i | \(0.270815\pi\) | |||||||
\(80\) | −2.19341 | + | 0.878109i | −0.245231 | + | 0.0981756i | ||||
\(81\) | −8.84720 | − | 1.65140i | −0.983022 | − | 0.183489i | ||||
\(82\) | −3.38168 | − | 6.55955i | −0.373445 | − | 0.724382i | ||||
\(83\) | −11.3469 | − | 13.0950i | −1.24549 | − | 1.43737i | −0.856518 | − | 0.516117i | \(-0.827377\pi\) |
−0.388969 | − | 0.921251i | \(-0.627169\pi\) | |||||||
\(84\) | −5.84940 | − | 16.8176i | −0.638222 | − | 1.83495i | ||||
\(85\) | −0.789628 | + | 0.507463i | −0.0856472 | + | 0.0550421i | ||||
\(86\) | 17.9184 | + | 18.7922i | 1.93219 | + | 2.02642i | ||||
\(87\) | 11.9674 | − | 5.83509i | 1.28304 | − | 0.625588i | ||||
\(88\) | −9.89997 | − | 9.43960i | −1.05534 | − | 1.00626i | ||||
\(89\) | −0.521285 | − | 0.732043i | −0.0552561 | − | 0.0775964i | 0.786023 | − | 0.618197i | \(-0.212137\pi\) |
−0.841280 | + | 0.540600i | \(0.818197\pi\) | |||||||
\(90\) | 0.720679 | − | 5.11894i | 0.0759662 | − | 0.539584i | ||||
\(91\) | −1.86575 | + | 8.57925i | −0.195584 | + | 0.899350i | ||||
\(92\) | −18.6059 | − | 1.03104i | −1.93980 | − | 0.107493i | ||||
\(93\) | −1.66755 | − | 13.7755i | −0.172917 | − | 1.42845i | ||||
\(94\) | 8.38391 | + | 10.6610i | 0.864734 | + | 1.09960i | ||||
\(95\) | 0.144153 | + | 1.50964i | 0.0147898 | + | 0.154886i | ||||
\(96\) | −0.738118 | − | 1.71671i | −0.0753339 | − | 0.175211i | ||||
\(97\) | 10.5336 | + | 9.12743i | 1.06953 | + | 0.926750i | 0.997501 | − | 0.0706529i | \(-0.0225083\pi\) |
0.0720254 | + | 0.997403i | \(0.477054\pi\) | |||||||
\(98\) | 5.55626 | + | 16.0474i | 0.561267 | + | 1.62103i | ||||
\(99\) | 8.60025 | − | 2.55268i | 0.864357 | − | 0.256554i | ||||
\(100\) | −17.3884 | − | 1.66039i | −1.73884 | − | 0.166039i | ||||
\(101\) | −2.19739 | + | 6.34893i | −0.218648 | + | 0.631743i | 0.781323 | + | 0.624127i | \(0.214545\pi\) |
−0.999971 | + | 0.00761537i | \(0.997576\pi\) | |||||||
\(102\) | 3.11920 | + | 4.59409i | 0.308847 | + | 0.454882i | ||||
\(103\) | −3.33955 | + | 4.24658i | −0.329055 | + | 0.418428i | −0.922227 | − | 0.386648i | \(-0.873633\pi\) |
0.593172 | + | 0.805076i | \(0.297875\pi\) | |||||||
\(104\) | 2.16031 | − | 15.0253i | 0.211836 | − | 1.47335i | ||||
\(105\) | −0.458300 | + | 3.22247i | −0.0447255 | + | 0.314481i | ||||
\(106\) | 12.6920 | + | 14.6473i | 1.23275 | + | 1.42267i | ||||
\(107\) | 0.276346 | − | 2.89402i | 0.0267153 | − | 0.279776i | −0.972236 | − | 0.234001i | \(-0.924818\pi\) |
0.998952 | − | 0.0457750i | \(-0.0145757\pi\) | |||||||
\(108\) | −20.0575 | − | 2.30873i | −1.93003 | − | 0.222157i | ||||
\(109\) | −4.13125 | − | 17.0292i | −0.395702 | − | 1.63111i | −0.726331 | − | 0.687345i | \(-0.758776\pi\) |
0.330629 | − | 0.943761i | \(-0.392739\pi\) | |||||||
\(110\) | 1.68532 | + | 4.86942i | 0.160689 | + | 0.464281i | ||||
\(111\) | 2.16046 | + | 1.61236i | 0.205062 | + | 0.153039i | ||||
\(112\) | −3.46492 | − | 8.09000i | −0.327405 | − | 0.764433i | ||||
\(113\) | 14.0853 | − | 2.02516i | 1.32503 | − | 0.190511i | 0.556782 | − | 0.830659i | \(-0.312036\pi\) |
0.768252 | + | 0.640148i | \(0.221127\pi\) | |||||||
\(114\) | 8.90660 | − | 1.07816i | 0.834180 | − | 0.100979i | ||||
\(115\) | 2.93670 | + | 1.72602i | 0.273849 | + | 0.160952i | ||||
\(116\) | 25.8664 | − | 14.9340i | 2.40163 | − | 1.38658i | ||||
\(117\) | 7.84344 | + | 6.13101i | 0.725126 | + | 0.566812i | ||||
\(118\) | 3.08484 | + | 1.40880i | 0.283982 | + | 0.129690i | ||||
\(119\) | −1.95992 | − | 2.89540i | −0.179665 | − | 0.265420i | ||||
\(120\) | 0.393234 | − | 5.61379i | 0.0358972 | − | 0.512467i | ||||
\(121\) | 1.48925 | − | 1.42000i | 0.135386 | − | 0.129091i | ||||
\(122\) | −11.2806 | − | 5.81555i | −1.02130 | − | 0.526515i | ||||
\(123\) | 5.26722 | − | 0.133110i | 0.474929 | − | 0.0120022i | ||||
\(124\) | −5.89111 | − | 30.5660i | −0.529037 | − | 2.74491i | ||||
\(125\) | 5.67378 | + | 3.64632i | 0.507478 | + | 0.326137i | ||||
\(126\) | 19.1265 | + | 2.22880i | 1.70392 | + | 0.198557i | ||||
\(127\) | −0.279497 | + | 1.94394i | −0.0248013 | + | 0.172497i | −0.998457 | − | 0.0555250i | \(-0.982317\pi\) |
0.973656 | + | 0.228022i | \(0.0732258\pi\) | |||||||
\(128\) | −9.31654 | − | 18.0716i | −0.823474 | − | 1.59732i | ||||
\(129\) | −17.6496 | + | 5.67051i | −1.55396 | + | 0.499260i | ||||
\(130\) | −3.31685 | + | 4.65787i | −0.290907 | + | 0.408522i | ||||
\(131\) | −0.245267 | − | 5.14879i | −0.0214291 | − | 0.449852i | −0.983928 | − | 0.178566i | \(-0.942854\pi\) |
0.962499 | − | 0.271286i | \(-0.0874488\pi\) | |||||||
\(132\) | 18.8458 | − | 7.06062i | 1.64032 | − | 0.614548i | ||||
\(133\) | −5.60894 | + | 0.670977i | −0.486357 | + | 0.0581811i | ||||
\(134\) | 6.40214 | + | 21.8037i | 0.553060 | + | 1.88355i | ||||
\(135\) | 3.06552 | + | 2.05521i | 0.263838 | + | 0.176884i | ||||
\(136\) | 3.73680 | + | 4.75172i | 0.320428 | + | 0.407457i | ||||
\(137\) | 7.97650 | − | 4.60523i | 0.681478 | − | 0.393452i | −0.118934 | − | 0.992902i | \(-0.537948\pi\) |
0.800412 | + | 0.599451i | \(0.204614\pi\) | |||||||
\(138\) | 9.76892 | − | 17.6259i | 0.831586 | − | 1.50041i | ||||
\(139\) | − | 16.9576i | − | 1.43833i | −0.694840 | − | 0.719164i | \(-0.744525\pi\) | ||
0.694840 | − | 0.719164i | \(-0.255475\pi\) | |||||||
\(140\) | −0.520459 | + | 7.28321i | −0.0439868 | + | 0.615543i | ||||
\(141\) | −9.45876 | + | 2.07216i | −0.796571 | + | 0.174507i | ||||
\(142\) | 0.241407 | − | 0.995094i | 0.0202584 | − | 0.0835064i | ||||
\(143\) | −9.74403 | − | 1.87801i | −0.814837 | − | 0.157047i | ||||
\(144\) | −9.96920 | − | 0.445597i | −0.830767 | − | 0.0371331i | ||||
\(145\) | −5.45366 | + | 0.259790i | −0.452902 | + | 0.0215744i | ||||
\(146\) | −6.52698 | − | 14.2921i | −0.540177 | − | 1.18282i | ||||
\(147\) | −12.0409 | − | 1.42027i | −0.993115 | − | 0.117142i | ||||
\(148\) | 5.08751 | + | 3.26954i | 0.418191 | + | 0.268755i | ||||
\(149\) | 2.13124 | − | 2.71010i | 0.174598 | − | 0.222020i | −0.690876 | − | 0.722973i | \(-0.742775\pi\) |
0.865474 | + | 0.500954i | \(0.167017\pi\) | |||||||
\(150\) | 9.80800 | − | 16.1442i | 0.800819 | − | 1.31817i | ||||
\(151\) | 0.114148 | − | 2.39625i | 0.00928921 | − | 0.195004i | −0.989453 | − | 0.144857i | \(-0.953728\pi\) |
0.998742 | − | 0.0501475i | \(-0.0159692\pi\) | |||||||
\(152\) | 9.59020 | − | 1.84836i | 0.777868 | − | 0.149922i | ||||
\(153\) | −3.92248 | + | 0.575713i | −0.317114 | + | 0.0465436i | ||||
\(154\) | −17.9834 | + | 6.70872i | −1.44915 | + | 0.540604i | ||||
\(155\) | −1.60314 | + | 5.45978i | −0.128767 | + | 0.438540i | ||||
\(156\) | 18.5134 | + | 12.4907i | 1.48226 | + | 1.00006i | ||||
\(157\) | −1.44344 | + | 1.51384i | −0.115199 | + | 0.120817i | −0.778808 | − | 0.627262i | \(-0.784175\pi\) |
0.663609 | + | 0.748080i | \(0.269024\pi\) | |||||||
\(158\) | 0.990380 | + | 10.3717i | 0.0787904 | + | 0.825130i | ||||
\(159\) | −13.3604 | + | 3.60091i | −1.05955 | + | 0.285571i | ||||
\(160\) | 0.766299i | 0.0605813i | ||||||||
\(161\) | −6.16653 | + | 11.0894i | −0.485991 | + | 0.873964i | ||||
\(162\) | 11.6965 | − | 18.4370i | 0.918964 | − | 1.44854i | ||||
\(163\) | −4.34498 | − | 1.73947i | −0.340325 | − | 0.136246i | 0.195203 | − | 0.980763i | \(-0.437463\pi\) |
−0.535529 | + | 0.844517i | \(0.679888\pi\) | |||||||
\(164\) | 11.7663 | − | 1.12355i | 0.918795 | − | 0.0877343i | ||||
\(165\) | −3.65347 | − | 0.431394i | −0.284422 | − | 0.0335839i | ||||
\(166\) | 39.7242 | − | 13.7487i | 3.08319 | − | 1.06710i | ||||
\(167\) | −16.2560 | − | 4.77318i | −1.25792 | − | 0.369360i | −0.416203 | − | 0.909272i | \(-0.636639\pi\) |
−0.841721 | + | 0.539912i | \(0.818457\pi\) | |||||||
\(168\) | 20.9401 | + | 0.965454i | 1.61557 | + | 0.0744864i | ||||
\(169\) | 0.825810 | + | 1.80827i | 0.0635239 | + | 0.139098i | ||||
\(170\) | −0.430951 | − | 2.23599i | −0.0330524 | − | 0.171492i | ||||
\(171\) | −2.07720 | + | 6.05911i | −0.158848 | + | 0.463352i | ||||
\(172\) | −38.6081 | + | 15.4564i | −2.94384 | + | 1.17854i | ||||
\(173\) | −16.1084 | − | 12.6678i | −1.22470 | − | 0.963117i | −0.224766 | − | 0.974413i | \(-0.572162\pi\) |
−0.999936 | + | 0.0112961i | \(0.996404\pi\) | |||||||
\(174\) | 2.35151 | + | 32.2146i | 0.178268 | + | 2.44218i | ||||
\(175\) | −6.18982 | + | 10.1564i | −0.467907 | + | 0.767754i | ||||
\(176\) | 9.04820 | − | 4.13217i | 0.682033 | − | 0.311474i | ||||
\(177\) | −1.86479 | + | 1.54430i | −0.140166 | + | 0.116077i | ||||
\(178\) | 2.11875 | − | 0.514004i | 0.158807 | − | 0.0385262i | ||||
\(179\) | −4.16333 | + | 21.6014i | −0.311182 | + | 1.61457i | 0.403406 | + | 0.915021i | \(0.367826\pi\) |
−0.714588 | + | 0.699546i | \(0.753386\pi\) | |||||||
\(180\) | 7.18231 | + | 4.11868i | 0.535338 | + | 0.306988i | ||||
\(181\) | 14.3827 | + | 6.56834i | 1.06905 | + | 0.488221i | 0.870652 | − | 0.491900i | \(-0.163697\pi\) |
0.198403 | + | 0.980121i | \(0.436425\pi\) | |||||||
\(182\) | −17.6402 | − | 11.9377i | −1.30758 | − | 0.884879i | ||||
\(183\) | 7.24576 | − | 5.44071i | 0.535622 | − | 0.402188i | ||||
\(184\) | 9.26787 | − | 19.8841i | 0.683237 | − | 1.46588i | ||||
\(185\) | −0.552744 | − | 0.957380i | −0.0406385 | − | 0.0703880i | ||||
\(186\) | 32.5293 | + | 8.66509i | 2.38516 | + | 0.635355i | ||||
\(187\) | 3.21902 | − | 2.29225i | 0.235398 | − | 0.167626i | ||||
\(188\) | −20.8424 | + | 6.11987i | −1.52008 | + | 0.446337i | ||||
\(189\) | −7.38093 | + | 11.5984i | −0.536884 | + | 0.843656i | ||||
\(190\) | −3.53004 | − | 1.03651i | −0.256096 | − | 0.0751966i | ||||
\(191\) | −6.36451 | + | 0.303179i | −0.460520 | + | 0.0219373i | −0.276560 | − | 0.960997i | \(-0.589195\pi\) |
−0.183959 | + | 0.982934i | \(0.558891\pi\) | |||||||
\(192\) | 16.0512 | − | 0.405638i | 1.15840 | − | 0.0292744i | ||||
\(193\) | −8.79752 | + | 25.4188i | −0.633260 | + | 1.82968i | −0.0797940 | + | 0.996811i | \(0.525426\pi\) |
−0.553466 | + | 0.832872i | \(0.686695\pi\) | |||||||
\(194\) | −30.0548 | + | 15.4943i | −2.15781 | + | 1.11243i | ||||
\(195\) | −1.96177 | − | 3.58023i | −0.140485 | − | 0.256385i | ||||
\(196\) | −27.1682 | − | 1.29086i | −1.94058 | − | 0.0922043i | ||||
\(197\) | 4.05080 | − | 6.30318i | 0.288608 | − | 0.449083i | −0.666429 | − | 0.745568i | \(-0.732178\pi\) |
0.955037 | + | 0.296485i | \(0.0958146\pi\) | |||||||
\(198\) | −2.00526 | + | 21.6714i | −0.142508 | + | 1.54012i | ||||
\(199\) | 0.173000 | + | 0.123192i | 0.0122636 | + | 0.00873288i | 0.586172 | − | 0.810186i | \(-0.300634\pi\) |
−0.573909 | + | 0.818919i | \(0.694574\pi\) | |||||||
\(200\) | 9.42301 | − | 18.2781i | 0.666308 | − | 1.29246i | ||||
\(201\) | −16.0032 | − | 2.66695i | −1.12878 | − | 0.188112i | ||||
\(202\) | −12.3180 | − | 10.6736i | −0.866691 | − | 0.750992i | ||||
\(203\) | −1.45211 | − | 20.2858i | −0.101918 | − | 1.42378i | ||||
\(204\) | −8.68764 | + | 1.90322i | −0.608257 | + | 0.133252i | ||||
\(205\) | −2.00589 | − | 0.803037i | −0.140097 | − | 0.0560866i | ||||
\(206\) | −6.55316 | − | 11.3504i | −0.456580 | − | 0.790820i | ||||
\(207\) | 8.28891 | + | 11.7598i | 0.576119 | + | 0.817366i | ||||
\(208\) | 9.55956 | + | 5.51921i | 0.662836 | + | 0.382689i | ||||
\(209\) | −0.908638 | − | 6.31972i | −0.0628518 | − | 0.437144i | ||||
\(210\) | −6.84453 | − | 3.93777i | −0.472317 | − | 0.271732i | ||||
\(211\) | 10.6026 | − | 3.11320i | 0.729912 | − | 0.214322i | 0.104399 | − | 0.994535i | \(-0.466708\pi\) |
0.625513 | + | 0.780214i | \(0.284890\pi\) | |||||||
\(212\) | −29.3340 | + | 10.1526i | −2.01466 | + | 0.697282i | ||||
\(213\) | 0.564412 | + | 0.464628i | 0.0386729 | + | 0.0318358i | ||||
\(214\) | 6.26885 | + | 3.23181i | 0.428529 | + | 0.220922i | ||||
\(215\) | 7.56768 | + | 0.722626i | 0.516112 | + | 0.0492827i | ||||
\(216\) | 11.2995 | − | 20.9115i | 0.768830 | − | 1.42285i | ||||
\(217\) | −20.4742 | − | 5.48470i | −1.38988 | − | 0.372325i | ||||
\(218\) | 42.0788 | + | 6.05002i | 2.84994 | + | 0.409759i | ||||
\(219\) | 11.2147 | + | 0.250509i | 0.757821 | + | 0.0169278i | ||||
\(220\) | −8.24350 | − | 0.392686i | −0.555776 | − | 0.0264749i | ||||
\(221\) | 4.14415 | + | 1.43430i | 0.278765 | + | 0.0964817i | ||||
\(222\) | −5.57942 | + | 3.41206i | −0.374466 | + | 0.229003i | ||||
\(223\) | 10.0609 | + | 15.6551i | 0.673731 | + | 1.04835i | 0.994855 | + | 0.101309i | \(0.0323030\pi\) |
−0.321124 | + | 0.947037i | \(0.604061\pi\) | |||||||
\(224\) | −2.85362 | + | 0.0681029i | −0.190666 | + | 0.00455031i | ||||
\(225\) | 7.32460 | + | 11.3242i | 0.488307 | + | 0.754944i | ||||
\(226\) | −8.13900 | + | 33.5494i | −0.541398 | + | 2.23167i | ||||
\(227\) | 1.78134 | − | 0.170097i | 0.118232 | − | 0.0112897i | −0.0357725 | − | 0.999360i | \(-0.511389\pi\) |
0.154004 | + | 0.988070i | \(0.450783\pi\) | |||||||
\(228\) | −3.69865 | + | 13.8849i | −0.244949 | + | 0.919552i | ||||
\(229\) | −12.4675 | − | 7.19814i | −0.823878 | − | 0.475666i | 0.0278738 | − | 0.999611i | \(-0.491126\pi\) |
−0.851752 | + | 0.523945i | \(0.824460\pi\) | |||||||
\(230\) | −6.53530 | + | 5.05785i | −0.430925 | + | 0.333505i | ||||
\(231\) | 1.28177 | − | 13.6435i | 0.0843345 | − | 0.897675i | ||||
\(232\) | 5.00419 | + | 34.8049i | 0.328541 | + | 2.28505i | ||||
\(233\) | 16.3468 | − | 11.6405i | 1.07091 | − | 0.762594i | 0.0983318 | − | 0.995154i | \(-0.468649\pi\) |
0.972582 | + | 0.232559i | \(0.0747100\pi\) | |||||||
\(234\) | −20.8806 | + | 12.1372i | −1.36501 | + | 0.793432i | ||||
\(235\) | 3.89906 | + | 0.751483i | 0.254347 | + | 0.0490213i | ||||
\(236\) | −3.93101 | + | 3.74821i | −0.255887 | + | 0.243988i | ||||
\(237\) | −6.97337 | − | 2.58929i | −0.452969 | − | 0.168193i | ||||
\(238\) | 8.28829 | − | 1.80354i | 0.537250 | − | 0.116906i | ||||
\(239\) | 10.6103 | − | 9.19388i | 0.686324 | − | 0.594703i | −0.240297 | − | 0.970699i | \(-0.577245\pi\) |
0.926621 | + | 0.375996i | \(0.122700\pi\) | |||||||
\(240\) | 3.68354 | + | 1.78268i | 0.237771 | + | 0.115072i | ||||
\(241\) | 8.26231 | + | 20.6382i | 0.532222 | + | 1.32943i | 0.914203 | + | 0.405256i | \(0.132818\pi\) |
−0.381981 | + | 0.924170i | \(0.624758\pi\) | |||||||
\(242\) | 1.85537 | + | 4.63449i | 0.119268 | + | 0.297916i | ||||
\(243\) | 8.21065 | + | 13.2509i | 0.526713 | + | 0.850043i | ||||
\(244\) | 15.3620 | − | 13.3112i | 0.983450 | − | 0.852165i | ||||
\(245\) | 4.30613 | + | 2.48544i | 0.275108 | + | 0.158789i | ||||
\(246\) | −4.44944 | + | 11.9830i | −0.283686 | + | 0.764010i | ||||
\(247\) | 5.12780 | − | 4.88934i | 0.326274 | − | 0.311102i | ||||
\(248\) | 35.9846 | + | 6.93547i | 2.28503 | + | 0.440403i | ||||
\(249\) | −3.51926 | + | 29.8046i | −0.223024 | + | 1.88879i | ||||
\(250\) | −13.3282 | + | 9.49095i | −0.842948 | + | 0.600260i | ||||
\(251\) | 2.13103 | + | 14.8216i | 0.134509 | + | 0.935534i | 0.939574 | + | 0.342346i | \(0.111222\pi\) |
−0.805064 | + | 0.593187i | \(0.797869\pi\) | |||||||
\(252\) | −14.6992 | + | 27.1122i | −0.925964 | + | 1.70791i | ||||
\(253\) | −12.6957 | − | 6.67025i | −0.798170 | − | 0.419355i | ||||
\(254\) | −4.12621 | − | 2.38227i | −0.258901 | − | 0.149477i | ||||
\(255\) | 1.57098 | + | 0.418475i | 0.0983785 | + | 0.0262059i | ||||
\(256\) | 30.6454 | − | 2.92628i | 1.91534 | − | 0.182893i | ||||
\(257\) | 1.04233 | − | 4.29653i | 0.0650185 | − | 0.268010i | −0.930019 | − | 0.367512i | \(-0.880210\pi\) |
0.995037 | + | 0.0995018i | \(0.0317249\pi\) | |||||||
\(258\) | 3.14263 | − | 44.8639i | 0.195651 | − | 2.79311i | ||||
\(259\) | 3.51606 | − | 2.14345i | 0.218477 | − | 0.133187i | ||||
\(260\) | −4.95135 | − | 7.70445i | −0.307069 | − | 0.477809i | ||||
\(261\) | −21.4339 | − | 8.50801i | −1.32673 | − | 0.526633i | ||||
\(262\) | 11.8174 | + | 4.09005i | 0.730083 | + | 0.252684i | ||||
\(263\) | −2.93583 | − | 0.139851i | −0.181031 | − | 0.00862358i | −0.0431295 | − | 0.999069i | \(-0.513733\pi\) |
−0.137902 | + | 0.990446i | \(0.544036\pi\) | |||||||
\(264\) | −0.529105 | + | 23.6868i | −0.0325642 | + | 1.45782i | ||||
\(265\) | 5.61656 | + | 0.807540i | 0.345023 | + | 0.0496068i | ||||
\(266\) | 3.54615 | − | 13.2376i | 0.217428 | − | 0.811651i | ||||
\(267\) | −0.328640 | + | 1.52147i | −0.0201124 | + | 0.0931125i | ||||
\(268\) | −36.2306 | − | 3.45960i | −2.21314 | − | 0.211329i | ||||
\(269\) | 17.1732 | + | 8.85340i | 1.04707 | + | 0.539801i | 0.893838 | − | 0.448390i | \(-0.148002\pi\) |
0.153230 | + | 0.988191i | \(0.451033\pi\) | |||||||
\(270\) | −7.39286 | + | 5.05119i | −0.449915 | + | 0.307405i | ||||
\(271\) | −15.9338 | + | 5.51474i | −0.967909 | + | 0.334997i | −0.764878 | − | 0.644176i | \(-0.777201\pi\) |
−0.203031 | + | 0.979172i | \(0.565079\pi\) | |||||||
\(272\) | −4.21777 | + | 1.23845i | −0.255740 | + | 0.0750919i | ||||
\(273\) | 13.1580 | − | 7.62362i | 0.796361 | − | 0.461402i | ||||
\(274\) | 3.17999 | + | 22.1173i | 0.192110 | + | 1.33615i | ||||
\(275\) | −11.6421 | − | 6.72160i | −0.702048 | − | 0.405328i | ||||
\(276\) | 20.3927 | + | 25.0173i | 1.22749 | + | 1.50586i | ||||
\(277\) | 10.6212 | + | 18.3964i | 0.638164 | + | 1.10533i | 0.985835 | + | 0.167715i | \(0.0536390\pi\) |
−0.347672 | + | 0.937616i | \(0.613028\pi\) | |||||||
\(278\) | 38.1926 | + | 15.2900i | 2.29064 | + | 0.917033i | ||||
\(279\) | −15.6856 | + | 18.2098i | −0.939075 | + | 1.09019i | ||||
\(280\) | −7.73243 | − | 3.75560i | −0.462101 | − | 0.224440i | ||||
\(281\) | −17.8653 | − | 15.4804i | −1.06576 | − | 0.923483i | −0.0685100 | − | 0.997650i | \(-0.521824\pi\) |
−0.997246 | + | 0.0741678i | \(0.976370\pi\) | |||||||
\(282\) | 3.86159 | − | 23.1717i | 0.229954 | − | 1.37986i | ||||
\(283\) | −0.887824 | + | 1.72214i | −0.0527757 | + | 0.102370i | −0.913748 | − | 0.406281i | \(-0.866825\pi\) |
0.860973 | + | 0.508651i | \(0.169856\pi\) | |||||||
\(284\) | 1.33590 | + | 0.951287i | 0.0792708 | + | 0.0564485i | ||||
\(285\) | 1.76400 | − | 1.94619i | 0.104491 | − | 0.115283i | ||||
\(286\) | 13.0155 | − | 20.2525i | 0.769623 | − | 1.19756i | ||||
\(287\) | 2.81216 | − | 7.54110i | 0.165997 | − | 0.445137i | ||||
\(288\) | −1.33590 | + | 2.94807i | −0.0787188 | + | 0.173716i | ||||
\(289\) | 13.5580 | − | 6.98962i | 0.797527 | − | 0.411154i | ||||
\(290\) | 4.33223 | − | 12.5172i | 0.254397 | − | 0.735033i | ||||
\(291\) | −0.609890 | − | 24.1336i | −0.0357524 | − | 1.41473i | ||||
\(292\) | 25.1360 | − | 1.19738i | 1.47097 | − | 0.0700712i | ||||
\(293\) | 17.8864 | + | 5.25192i | 1.04493 | + | 0.306820i | 0.758769 | − | 0.651360i | \(-0.225801\pi\) |
0.286165 | + | 0.958180i | \(0.407619\pi\) | |||||||
\(294\) | 14.0556 | − | 25.8383i | 0.819736 | − | 1.50692i | ||||
\(295\) | 0.952670 | − | 0.279729i | 0.0554666 | − | 0.0162865i | ||||
\(296\) | −5.79947 | + | 4.12979i | −0.337088 | + | 0.240039i | ||||
\(297\) | −13.3034 | − | 8.02879i | −0.771940 | − | 0.465878i | ||||
\(298\) | 4.18212 | + | 7.24364i | 0.242264 | + | 0.419613i | ||||
\(299\) | −2.14262 | − | 15.7698i | −0.123911 | − | 0.911992i | ||||
\(300\) | 18.1664 | + | 24.1935i | 1.04884 | + | 1.39681i | ||||
\(301\) | −2.01843 | + | 28.2455i | −0.116340 | + | 1.62804i | ||||
\(302\) | 5.29401 | + | 2.41769i | 0.304636 | + | 0.139122i | ||||
\(303\) | 10.6904 | − | 4.59646i | 0.614148 | − | 0.264060i | ||||
\(304\) | −1.34409 | + | 6.97380i | −0.0770888 | + | 0.399975i | ||||
\(305\) | −3.61099 | + | 0.876018i | −0.206765 | + | 0.0501606i | ||||
\(306\) | 2.24010 | − | 9.35345i | 0.128058 | − | 0.534701i | ||||
\(307\) | 8.15798 | − | 3.72563i | 0.465601 | − | 0.212633i | −0.168780 | − | 0.985654i | \(-0.553983\pi\) |
0.634380 | + | 0.773021i | \(0.281255\pi\) | |||||||
\(308\) | 0.729704 | − | 30.7328i | 0.0415787 | − | 1.75117i | ||||
\(309\) | 9.33242 | − | 0.681222i | 0.530903 | − | 0.0387533i | ||||
\(310\) | −10.8512 | − | 8.53350i | −0.616308 | − | 0.484670i | ||||
\(311\) | 24.7306 | − | 9.90062i | 1.40234 | − | 0.561413i | 0.457579 | − | 0.889169i | \(-0.348717\pi\) |
0.944762 | + | 0.327756i | \(0.106293\pi\) | |||||||
\(312\) | −21.7522 | + | 14.7689i | −1.23148 | + | 0.836122i | ||||
\(313\) | −0.699425 | − | 3.62896i | −0.0395339 | − | 0.205121i | 0.956791 | − | 0.290777i | \(-0.0939137\pi\) |
−0.996325 | + | 0.0856555i | \(0.972702\pi\) | |||||||
\(314\) | −2.10802 | − | 4.61593i | −0.118963 | − | 0.260492i | ||||
\(315\) | 4.65933 | − | 3.17390i | 0.262524 | − | 0.178829i | ||||
\(316\) | −16.0112 | − | 4.70130i | −0.900698 | − | 0.264469i | ||||
\(317\) | −0.491093 | + | 0.169969i | −0.0275825 | + | 0.00954640i | −0.340824 | − | 0.940127i | \(-0.610706\pi\) |
0.313242 | + | 0.949673i | \(0.398585\pi\) | |||||||
\(318\) | 3.93642 | − | 33.3376i | 0.220744 | − | 1.86948i | ||||
\(319\) | 22.8826 | − | 2.18502i | 1.28118 | − | 0.122338i | ||||
\(320\) | −6.11271 | − | 2.44716i | −0.341711 | − | 0.136800i | ||||
\(321\) | −4.02661 | + | 3.02351i | −0.224744 | + | 0.168756i | ||||
\(322\) | −19.4157 | − | 23.8873i | −1.08200 | − | 1.33119i | ||||
\(323\) | 2.82153i | 0.156994i | ||||||||
\(324\) | 20.4513 | + | 28.3662i | 1.13618 | + | 1.57590i | ||||
\(325\) | −1.41806 | − | 14.8505i | −0.0786596 | − | 0.823760i | ||||
\(326\) | 7.83538 | − | 8.21751i | 0.433962 | − | 0.455126i | ||||
\(327\) | −16.9751 | + | 25.1601i | −0.938727 | + | 1.39136i | ||||
\(328\) | −3.92037 | + | 13.3516i | −0.216466 | + | 0.737217i | ||||
\(329\) | −2.45193 | + | 14.5865i | −0.135179 | + | 0.804180i | ||||
\(330\) | 4.26578 | − | 7.83950i | 0.234823 | − | 0.431550i | ||||
\(331\) | −17.1802 | + | 3.31122i | −0.944311 | + | 0.182001i | −0.638092 | − | 0.769960i | \(-0.720276\pi\) |
−0.306219 | + | 0.951961i | \(0.599064\pi\) | |||||||
\(332\) | −3.20349 | + | 67.2495i | −0.175814 | + | 3.69080i | ||||
\(333\) | −0.457468 | − | 4.64679i | −0.0250691 | − | 0.254642i | ||||
\(334\) | 25.4076 | − | 32.3085i | 1.39024 | − | 1.76784i | ||||
\(335\) | 5.59692 | + | 3.59692i | 0.305792 | + | 0.196521i | ||||
\(336\) | −6.31116 | + | 13.8755i | −0.344302 | + | 0.756973i | ||||
\(337\) | −12.2306 | − | 26.7812i | −0.666241 | − | 1.45886i | −0.876590 | − | 0.481238i | \(-0.840187\pi\) |
0.210349 | − | 0.977626i | \(-0.432540\pi\) | |||||||
\(338\) | −4.81725 | + | 0.229474i | −0.262024 | + | 0.0124817i | ||||
\(339\) | −19.0290 | − | 15.6648i | −1.03352 | − | 0.850797i | ||||
\(340\) | 3.58119 | + | 0.690219i | 0.194218 | + | 0.0374324i | ||||
\(341\) | 5.64804 | − | 23.2816i | 0.305859 | − | 1.26077i | ||||
\(342\) | −11.7736 | − | 10.1416i | −0.636644 | − | 0.548395i | ||||
\(343\) | −8.87284 | + | 16.2565i | −0.479088 | + | 0.877767i | ||||
\(344\) | − | 48.9595i | − | 2.63972i | ||||||
\(345\) | −1.21784 | − | 5.77294i | −0.0655661 | − | 0.310805i | ||||
\(346\) | 43.0552 | − | 24.8579i | 2.31466 | − | 1.33637i | ||||
\(347\) | −13.1206 | − | 16.6842i | −0.704352 | − | 0.895657i | 0.293834 | − | 0.955856i | \(-0.405069\pi\) |
−0.998186 | + | 0.0601995i | \(0.980826\pi\) | |||||||
\(348\) | −49.2993 | − | 15.6797i | −2.64272 | − | 0.840518i | ||||
\(349\) | 9.51389 | + | 32.4013i | 0.509267 | + | 1.73440i | 0.665228 | + | 0.746640i | \(0.268334\pi\) |
−0.155961 | + | 0.987763i | \(0.549847\pi\) | |||||||
\(350\) | −17.2936 | − | 23.0986i | −0.924380 | − | 1.23467i | ||||
\(351\) | −1.30575 | − | 17.1936i | −0.0696958 | − | 0.917729i | ||||
\(352\) | −0.153510 | − | 3.22257i | −0.00818211 | − | 0.171764i | ||||
\(353\) | −17.0634 | + | 23.9623i | −0.908196 | + | 1.27538i | 0.0527396 | + | 0.998608i | \(0.483205\pi\) |
−0.960935 | + | 0.276774i | \(0.910735\pi\) | |||||||
\(354\) | −1.79673 | − | 5.59237i | −0.0954949 | − | 0.297231i | ||||
\(355\) | −0.137371 | − | 0.266463i | −0.00729092 | − | 0.0141424i | ||||
\(356\) | −0.496944 | + | 3.45632i | −0.0263380 | + | 0.183185i | ||||
\(357\) | −1.41874 | + | 5.88736i | −0.0750877 | + | 0.311592i | ||||
\(358\) | −44.8976 | − | 28.8539i | −2.37291 | − | 1.52498i | ||||
\(359\) | 0.983653 | + | 5.10368i | 0.0519152 | + | 0.269362i | 0.998606 | − | 0.0527817i | \(-0.0168088\pi\) |
−0.946691 | + | 0.322144i | \(0.895597\pi\) | |||||||
\(360\) | −7.64411 | + | 6.04776i | −0.402880 | + | 0.318745i | ||||
\(361\) | −12.8360 | − | 6.61742i | −0.675579 | − | 0.348285i | ||||
\(362\) | −27.7617 | + | 26.4707i | −1.45912 | + | 1.39127i | ||||
\(363\) | −3.55538 | − | 0.249047i | −0.186609 | − | 0.0130716i | ||||
\(364\) | 28.2505 | − | 19.1230i | 1.48073 | − | 1.00232i | ||||
\(365\) | −4.18437 | − | 1.91094i | −0.219020 | − | 0.100023i | ||||
\(366\) | 5.72054 | + | 21.2248i | 0.299017 | + | 1.10944i | ||||
\(367\) | −6.46364 | + | 3.73178i | −0.337399 | + | 0.194797i | −0.659121 | − | 0.752037i | \(-0.729072\pi\) |
0.321722 | + | 0.946834i | \(0.395738\pi\) | |||||||
\(368\) | 10.9188 | + | 11.6306i | 0.569180 | + | 0.606288i | ||||
\(369\) | −6.31701 | − | 6.58631i | −0.328850 | − | 0.342869i | ||||
\(370\) | 2.65463 | − | 0.381678i | 0.138008 | − | 0.0198425i | ||||
\(371\) | −2.50804 | + | 20.9873i | −0.130211 | + | 1.08961i | ||||
\(372\) | −32.2474 | + | 43.2094i | −1.67195 | + | 2.24030i | ||||
\(373\) | −10.9075 | − | 31.5151i | −0.564768 | − | 1.63179i | −0.759188 | − | 0.650871i | \(-0.774404\pi\) |
0.194420 | − | 0.980918i | \(-0.437717\pi\) | |||||||
\(374\) | 2.26024 | + | 9.31682i | 0.116874 | + | 0.481761i | ||||
\(375\) | −1.95407 | − | 11.5171i | −0.100908 | − | 0.594741i | ||||
\(376\) | 2.43088 | − | 25.4573i | 0.125363 | − | 1.31286i | ||||
\(377\) | 16.7046 | + | 19.2781i | 0.860331 | + | 0.992875i | ||||
\(378\) | −19.4671 | − | 27.0813i | −1.00128 | − | 1.39291i | ||||
\(379\) | −1.85777 | + | 12.9210i | −0.0954270 | + | 0.663709i | 0.884820 | + | 0.465933i | \(0.154281\pi\) |
−0.980247 | + | 0.197777i | \(0.936628\pi\) | |||||||
\(380\) | 3.64248 | − | 4.63179i | 0.186855 | − | 0.237606i | ||||
\(381\) | 2.81426 | − | 1.91077i | 0.144179 | − | 0.0978917i | ||||
\(382\) | 5.05578 | − | 14.6077i | 0.258676 | − | 0.747396i | ||||
\(383\) | 34.5229 | + | 3.29653i | 1.76404 | + | 0.168445i | 0.926089 | − | 0.377306i | \(-0.123150\pi\) |
0.837947 | + | 0.545751i | \(0.183756\pi\) | |||||||
\(384\) | −12.2582 | + | 33.0132i | −0.625549 | + | 1.68470i | ||||
\(385\) | −2.69286 | + | 4.93231i | −0.137241 | + | 0.251374i | ||||
\(386\) | −49.3167 | − | 42.7331i | −2.51015 | − | 2.17506i | ||||
\(387\) | 27.8542 | + | 15.9729i | 1.41591 | + | 0.811949i | ||||
\(388\) | −5.14792 | − | 53.9114i | −0.261346 | − | 2.73694i | ||||
\(389\) | 24.3216 | + | 30.9274i | 1.23315 | + | 1.56808i | 0.672794 | + | 0.739830i | \(0.265094\pi\) |
0.560359 | + | 0.828250i | \(0.310663\pi\) | |||||||
\(390\) | 9.83235 | − | 1.19023i | 0.497881 | − | 0.0602694i | ||||
\(391\) | 5.13387 | + | 3.71617i | 0.259631 | + | 0.187935i | ||||
\(392\) | 13.2983 | − | 29.1285i | 0.671664 | − | 1.47121i | ||||
\(393\) | −6.30384 | + | 6.32235i | −0.317987 | + | 0.318920i | ||||
\(394\) | 10.5438 | + | 14.8067i | 0.531188 | + | 0.745949i | ||||
\(395\) | 2.20767 | + | 2.10501i | 0.111080 | + | 0.105915i | ||||
\(396\) | −31.0294 | − | 15.8818i | −1.55928 | − | 0.798088i | ||||
\(397\) | 4.42514 | + | 4.64095i | 0.222091 | + | 0.232923i | 0.825348 | − | 0.564625i | \(-0.190979\pi\) |
−0.603257 | + | 0.797547i | \(0.706131\pi\) | |||||||
\(398\) | −0.433445 | + | 0.278558i | −0.0217266 | + | 0.0139629i | ||||
\(399\) | 7.40420 | + | 6.39601i | 0.370674 | + | 0.320201i | ||||
\(400\) | 9.79265 | + | 11.3013i | 0.489632 | + | 0.565066i | ||||
\(401\) | 10.9060 | + | 21.1547i | 0.544620 | + | 1.05641i | 0.987170 | + | 0.159671i | \(0.0510435\pi\) |
−0.442550 | + | 0.896744i | \(0.645926\pi\) | |||||||
\(402\) | 20.4360 | − | 33.6383i | 1.01926 | − | 1.67772i | ||||
\(403\) | 24.6809 | − | 9.88074i | 1.22944 | − | 0.492195i | ||||
\(404\) | 23.2029 | − | 11.9619i | 1.15439 | − | 0.595128i | ||||
\(405\) | −0.946838 | − | 6.32198i | −0.0470488 | − | 0.314142i | ||||
\(406\) | 46.9976 | + | 15.0204i | 2.33245 | + | 0.745448i | ||||
\(407\) | 2.51628 | + | 3.91541i | 0.124727 | + | 0.194080i | ||||
\(408\) | 1.72115 | − | 10.3279i | 0.0852097 | − | 0.511306i | ||||
\(409\) | 6.75242 | − | 35.0349i | 0.333886 | − | 1.73236i | −0.295564 | − | 0.955323i | \(-0.595507\pi\) |
0.629449 | − | 0.777041i | \(-0.283280\pi\) | |||||||
\(410\) | 3.61726 | − | 3.79367i | 0.178644 | − | 0.187356i | ||||
\(411\) | −15.2026 | − | 4.83519i | −0.749889 | − | 0.238502i | ||||
\(412\) | 20.7777 | − | 2.98738i | 1.02364 | − | 0.147177i | ||||
\(413\) | 1.12635 | + | 3.52279i | 0.0554240 | + | 0.173345i | ||||
\(414\) | −33.9597 | + | 8.06520i | −1.66903 | + | 0.396383i | ||||
\(415\) | 6.15356 | − | 10.6583i | 0.302067 | − | 0.523195i | ||||
\(416\) | 2.81422 | − | 2.21312i | 0.137978 | − | 0.108507i | ||||
\(417\) | −21.7045 | + | 19.7889i | −1.06287 | + | 0.969066i | ||||
\(418\) | 15.0528 | + | 3.65176i | 0.736255 | + | 0.178614i | ||||
\(419\) | 8.67652 | − | 10.0132i | 0.423876 | − | 0.489179i | −0.503138 | − | 0.864206i | \(-0.667821\pi\) |
0.927014 | + | 0.375027i | \(0.122367\pi\) | |||||||
\(420\) | 9.92931 | − | 7.83306i | 0.484501 | − | 0.382214i | ||||
\(421\) | 31.4605 | − | 20.2184i | 1.53329 | − | 0.985385i | 0.544053 | − | 0.839051i | \(-0.316889\pi\) |
0.989235 | − | 0.146334i | \(-0.0467474\pi\) | |||||||
\(422\) | −2.54826 | + | 26.6866i | −0.124047 | + | 1.29908i | ||||
\(423\) | 13.6902 | + | 9.68837i | 0.665640 | + | 0.471065i | ||||
\(424\) | 1.73884 | − | 36.5027i | 0.0844454 | − | 1.77273i | ||||
\(425\) | 4.66980 | + | 3.67238i | 0.226519 | + | 0.178136i | ||||
\(426\) | −1.55536 | + | 0.852252i | −0.0753573 | + | 0.0412917i | ||||
\(427\) | −3.58312 | − | 13.3691i | −0.173399 | − | 0.646977i | ||||
\(428\) | −8.53695 | + | 7.39731i | −0.412649 | + | 0.357563i | ||||
\(429\) | 8.96718 | + | 14.6632i | 0.432940 | + | 0.707945i | ||||
\(430\) | −8.45099 | + | 16.3926i | −0.407543 | + | 0.790523i | ||||
\(431\) | −25.7022 | + | 6.23529i | −1.23803 | + | 0.300343i | −0.800760 | − | 0.598985i | \(-0.795571\pi\) |
−0.437273 | + | 0.899329i | \(0.644056\pi\) | |||||||
\(432\) | 11.0633 | + | 13.2798i | 0.532284 | + | 0.638925i | ||||
\(433\) | −2.02755 | − | 6.90521i | −0.0974380 | − | 0.331843i | 0.896319 | − | 0.443410i | \(-0.146231\pi\) |
−0.993757 | + | 0.111566i | \(0.964413\pi\) | |||||||
\(434\) | 30.8135 | − | 41.1673i | 1.47910 | − | 1.97609i | ||||
\(435\) | 6.69671 | + | 6.67710i | 0.321083 | + | 0.320143i | ||||
\(436\) | −34.0436 | + | 58.9652i | −1.63039 | + | 2.82392i | ||||
\(437\) | 9.13740 | − | 4.62128i | 0.437101 | − | 0.221066i | ||||
\(438\) | −10.6761 | + | 25.0323i | −0.510122 | + | 1.19609i | ||||
\(439\) | −13.6727 | + | 34.1527i | −0.652562 | + | 1.63002i | 0.118270 | + | 0.992981i | \(0.462265\pi\) |
−0.770832 | + | 0.637039i | \(0.780159\pi\) | |||||||
\(440\) | 4.03612 | − | 8.83788i | 0.192415 | − | 0.421329i | ||||
\(441\) | 12.2334 | + | 17.0688i | 0.582542 | + | 0.812801i | ||||
\(442\) | −6.96699 | + | 8.04034i | −0.331386 | + | 0.382440i | ||||
\(443\) | −1.90897 | − | 2.00207i | −0.0906980 | − | 0.0951213i | 0.676821 | − | 0.736148i | \(-0.263357\pi\) |
−0.767519 | + | 0.641027i | \(0.778509\pi\) | |||||||
\(444\) | −1.75215 | − | 10.3271i | −0.0831535 | − | 0.490100i | ||||
\(445\) | 0.370257 | − | 0.519953i | 0.0175519 | − | 0.0246481i | ||||
\(446\) | −44.3306 | + | 8.54402i | −2.09911 | + | 0.404571i | ||||
\(447\) | −5.95579 | + | 0.434744i | −0.281699 | + | 0.0205627i | ||||
\(448\) | 8.56972 | − | 22.9806i | 0.404881 | − | 1.08573i | ||||
\(449\) | −9.08750 | − | 1.30658i | −0.428866 | − | 0.0616616i | −0.0754976 | − | 0.997146i | \(-0.524055\pi\) |
−0.353368 | + | 0.935484i | \(0.614964\pi\) | |||||||
\(450\) | −32.1089 | + | 6.28620i | −1.51363 | + | 0.296334i | ||||
\(451\) | 8.59638 | + | 2.97524i | 0.404788 | + | 0.140098i | ||||
\(452\) | −45.0395 | − | 32.0725i | −2.11848 | − | 1.50856i | ||||
\(453\) | −3.20023 | + | 2.65023i | −0.150360 | + | 0.124519i | ||||
\(454\) | −1.22306 | + | 4.16536i | −0.0574010 | + | 0.195490i | ||||
\(455\) | −6.19193 | + | 0.740718i | −0.290282 | + | 0.0347254i | ||||
\(456\) | −13.5571 | − | 10.1178i | −0.634871 | − | 0.473808i | ||||
\(457\) | −5.53190 | − | 7.76846i | −0.258771 | − | 0.363393i | 0.664667 | − | 0.747139i | \(-0.268573\pi\) |
−0.923439 | + | 0.383746i | \(0.874634\pi\) | |||||||
\(458\) | 27.4534 | − | 21.5896i | 1.28281 | − | 1.00881i | ||||
\(459\) | 5.31425 | + | 4.34865i | 0.248048 | + | 0.202978i | ||||
\(460\) | −3.63026 | − | 12.7280i | −0.169262 | − | 0.593447i | ||||
\(461\) | −11.9694 | −0.557472 | −0.278736 | − | 0.960368i | \(-0.589915\pi\) | ||||
−0.278736 | + | 0.960368i | \(0.589915\pi\) | |||||||
\(462\) | 29.5726 | + | 15.1886i | 1.37584 | + | 0.706639i | ||||
\(463\) | −9.22125 | + | 20.1917i | −0.428548 | + | 0.938389i | 0.565012 | + | 0.825082i | \(0.308871\pi\) |
−0.993560 | + | 0.113306i | \(0.963856\pi\) | |||||||
\(464\) | −24.8489 | − | 6.02828i | −1.15358 | − | 0.279856i | ||||
\(465\) | 8.85890 | − | 4.31945i | 0.410822 | − | 0.200310i | ||||
\(466\) | 11.4779 | + | 47.3126i | 0.531704 | + | 2.19171i | ||||
\(467\) | −0.686309 | − | 14.4074i | −0.0317586 | − | 0.666695i | −0.957482 | − | 0.288493i | \(-0.906846\pi\) |
0.925723 | − | 0.378201i | \(-0.123457\pi\) | |||||||
\(468\) | −5.61726 | − | 38.2719i | −0.259658 | − | 1.76912i | ||||
\(469\) | −12.8972 | + | 21.1620i | −0.595535 | + | 0.977171i | ||||
\(470\) | −5.20814 | + | 8.10402i | −0.240234 | + | 0.373811i | ||||
\(471\) | 3.62203 | + | 0.0809072i | 0.166894 | + | 0.00372801i | ||||
\(472\) | −2.37658 | − | 5.93641i | −0.109391 | − | 0.273246i | ||||
\(473\) | −31.9697 | − | 1.52290i | −1.46997 | − | 0.0700231i | ||||
\(474\) | 12.1193 | − | 13.3710i | 0.556657 | − | 0.614150i | ||||
\(475\) | 8.73095 | − | 3.98729i | 0.400603 | − | 0.182949i | ||||
\(476\) | −2.25203 | + | 13.3973i | −0.103222 | + | 0.614066i | ||||
\(477\) | 20.1999 | + | 12.8982i | 0.924892 | + | 0.590567i | ||||
\(478\) | 11.1399 | + | 32.1866i | 0.509527 | + | 1.47218i | ||||
\(479\) | 13.2977 | + | 12.6793i | 0.607588 | + | 0.579334i | 0.930134 | − | 0.367220i | \(-0.119690\pi\) |
−0.322547 | + | 0.946554i | \(0.604539\pi\) | |||||||
\(480\) | 0.980805 | − | 0.894240i | 0.0447674 | − | 0.0408163i | ||||
\(481\) | −1.91960 | + | 4.79492i | −0.0875260 | + | 0.218629i | ||||
\(482\) | −53.9319 | −2.45653 | ||||||||
\(483\) | 21.3896 | − | 5.04815i | 0.973262 | − | 0.229699i | ||||
\(484\) | −7.99541 | −0.363428 | ||||||||
\(485\) | −3.67939 | + | 9.19067i | −0.167072 | + | 0.417327i | ||||
\(486\) | −37.2472 | + | 6.54455i | −1.68957 | + | 0.296867i | ||||
\(487\) | −9.92875 | − | 9.46705i | −0.449915 | − | 0.428993i | 0.430939 | − | 0.902381i | \(-0.358182\pi\) |
−0.880854 | + | 0.473388i | \(0.843031\pi\) | |||||||
\(488\) | 7.82683 | + | 22.6142i | 0.354304 | + | 1.02369i | ||||
\(489\) | 2.84403 | + | 7.59114i | 0.128612 | + | 0.343283i | ||||
\(490\) | −9.48046 | + | 7.45738i | −0.428283 | + | 0.336890i | ||||
\(491\) | 14.6840 | − | 6.70595i | 0.662679 | − | 0.302635i | −0.0555357 | − | 0.998457i | \(-0.517687\pi\) |
0.718215 | + | 0.695821i | \(0.244959\pi\) | |||||||
\(492\) | −15.1689 | − | 13.7489i | −0.683866 | − | 0.619847i | ||||
\(493\) | −10.1468 | − | 0.483351i | −0.456988 | − | 0.0217690i | ||||
\(494\) | 6.38843 | + | 15.9575i | 0.287429 | + | 0.717963i | ||||
\(495\) | 3.71130 | + | 5.17958i | 0.166811 | + | 0.232805i | ||||
\(496\) | −14.4075 | + | 22.4184i | −0.646914 | + | 1.00662i | ||||
\(497\) | 0.980074 | − | 0.535238i | 0.0439623 | − | 0.0240087i | ||||
\(498\) | −63.9538 | − | 34.7998i | −2.86584 | − | 1.55941i | ||||
\(499\) | −0.223543 | − | 4.69274i | −0.0100071 | − | 0.210076i | −0.998333 | − | 0.0577197i | \(-0.981617\pi\) |
0.988326 | − | 0.152356i | \(-0.0486860\pi\) | |||||||
\(500\) | −6.17826 | − | 25.4671i | −0.276300 | − | 1.13892i | ||||
\(501\) | 12.8607 | + | 26.3765i | 0.574576 | + | 1.17842i | ||||
\(502\) | −35.3033 | − | 8.56448i | −1.57566 | − | 0.382252i | ||||
\(503\) | 14.7761 | − | 32.3553i | 0.658836 | − | 1.44265i | −0.224767 | − | 0.974413i | \(-0.572162\pi\) |
0.883603 | − | 0.468237i | \(-0.155111\pi\) | |||||||
\(504\) | −23.2006 | − | 27.9284i | −1.03344 | − | 1.24403i | ||||
\(505\) | −4.77195 | −0.212349 | ||||||||
\(506\) | 26.4701 | − | 22.5793i | 1.17674 | − | 1.00377i | ||||
\(507\) | 1.35076 | − | 3.16715i | 0.0599895 | − | 0.140658i | ||||
\(508\) | 5.99834 | − | 4.71715i | 0.266133 | − | 0.209289i | ||||
\(509\) | −8.46430 | − | 11.8864i | −0.375173 | − | 0.526857i | 0.583218 | − | 0.812316i | \(-0.301793\pi\) |
−0.958391 | + | 0.285459i | \(0.907854\pi\) | |||||||
\(510\) | −2.35899 | + | 3.16089i | −0.104458 | + | 0.139967i | ||||
\(511\) | 6.74426 | − | 15.7520i | 0.298349 | − | 0.696827i | ||||
\(512\) | −9.58481 | + | 32.6429i | −0.423593 | + | 1.44262i | ||||
\(513\) | 10.1792 | − | 4.41208i | 0.449423 | − | 0.194798i | ||||
\(514\) | 8.73696 | + | 6.22156i | 0.385371 | + | 0.274421i | ||||
\(515\) | −3.62616 | − | 1.25503i | −0.159788 | − | 0.0553031i | ||||
\(516\) | 64.8371 | + | 31.3785i | 2.85429 | + | 1.38136i | ||||
\(517\) | −16.5475 | − | 2.37918i | −0.727760 | − | 0.104636i | ||||
\(518\) | 1.65725 | + | 9.85165i | 0.0728156 | + | 0.432857i | ||||
\(519\) | 2.58406 | + | 35.4004i | 0.113428 | + | 1.55391i | ||||
\(520\) | 10.5870 | − | 2.04048i | 0.464271 | − | 0.0894809i | ||||
\(521\) | −11.9484 | + | 16.7792i | −0.523470 | + | 0.735111i | −0.988672 | − | 0.150094i | \(-0.952042\pi\) |
0.465202 | + | 0.885205i | \(0.345982\pi\) | |||||||
\(522\) | 38.4881 | − | 40.6029i | 1.68458 | − | 1.77714i | ||||
\(523\) | 1.91267 | + | 2.00595i | 0.0836352 | + | 0.0877140i | 0.764222 | − | 0.644954i | \(-0.223123\pi\) |
−0.680586 | + | 0.732668i | \(0.738275\pi\) | |||||||
\(524\) | −13.1159 | + | 15.1366i | −0.572971 | + | 0.661244i | ||||
\(525\) | 20.2227 | − | 3.92965i | 0.882593 | − | 0.171504i | ||||
\(526\) | 2.96210 | − | 6.48609i | 0.129154 | − | 0.282807i | ||||
\(527\) | −3.93480 | + | 9.82866i | −0.171403 | + | 0.428143i | ||||
\(528\) | −15.8477 | − | 6.75892i | −0.689685 | − | 0.294144i | ||||
\(529\) | 3.62608 | − | 22.7124i | 0.157656 | − | 0.987494i | ||||
\(530\) | −6.88299 | + | 11.9217i | −0.298978 | + | 0.517845i | ||||
\(531\) | 4.15272 | + | 0.584647i | 0.180213 | + | 0.0253715i | ||||
\(532\) | 17.5720 | + | 13.1526i | 0.761844 | + | 0.570237i | ||||
\(533\) | 2.84401 | + | 9.68581i | 0.123188 | + | 0.419539i | ||||
\(534\) | −3.13039 | − | 2.11202i | −0.135465 | − | 0.0913961i | ||||
\(535\) | 2.00670 | − | 0.486820i | 0.0867572 | − | 0.0210471i | ||||
\(536\) | 19.6339 | − | 38.0844i | 0.848053 | − | 1.64499i | ||||
\(537\) | 32.5066 | − | 19.8793i | 1.40276 | − | 0.857853i | ||||
\(538\) | −35.4243 | + | 30.6953i | −1.52725 | + | 1.32337i | ||||
\(539\) | −18.6068 | − | 9.58958i | −0.801450 | − | 0.413052i | ||||
\(540\) | −3.10988 | − | 13.9991i | −0.133828 | − | 0.602427i | ||||
\(541\) | 3.85826 | + | 3.03417i | 0.165879 | + | 0.130449i | 0.697648 | − | 0.716441i | \(-0.254230\pi\) |
−0.531769 | + | 0.846890i | \(0.678472\pi\) | |||||||
\(542\) | 1.94636 | − | 40.8591i | 0.0836032 | − | 1.75505i | ||||
\(543\) | −8.37701 | − | 26.0737i | −0.359492 | − | 1.11893i | ||||
\(544\) | −0.135525 | + | 1.41928i | −0.00581058 | + | 0.0608511i | ||||
\(545\) | 10.4705 | − | 6.72899i | 0.448507 | − | 0.288238i | ||||
\(546\) | 5.30611 | + | 36.5089i | 0.227080 | + | 1.56244i | ||||
\(547\) | 13.1456 | − | 15.1708i | 0.562065 | − | 0.648657i | −0.401586 | − | 0.915821i | \(-0.631541\pi\) |
0.963651 | + | 0.267164i | \(0.0860865\pi\) | |||||||
\(548\) | −34.7789 | − | 8.43727i | −1.48568 | − | 0.360422i | ||||
\(549\) | −15.4192 | − | 2.92494i | −0.658076 | − | 0.124833i | ||||
\(550\) | 25.6359 | − | 20.1603i | 1.09312 | − | 0.859636i | ||||
\(551\) | −8.20615 | + | 14.2135i | −0.349594 | + | 0.605514i | ||||
\(552\) | −36.2654 | + | 11.3418i | −1.54356 | + | 0.482738i | ||||
\(553\) | −7.64266 | + | 8.40823i | −0.324999 | + | 0.357554i | ||||
\(554\) | −51.0096 | + | 7.33408i | −2.16719 | + | 0.311595i | ||||
\(555\) | −0.580344 | + | 1.82469i | −0.0246342 | + | 0.0774539i | ||||
\(556\) | −45.4691 | + | 47.6866i | −1.92832 | + | 2.02236i | ||||
\(557\) | 5.03300 | − | 26.1137i | 0.213255 | − | 1.10647i | −0.704614 | − | 0.709591i | \(-0.748880\pi\) |
0.917869 | − | 0.396883i | \(-0.129908\pi\) | |||||||
\(558\) | −26.8697 | − | 51.7468i | −1.13748 | − | 2.19062i | ||||
\(559\) | −19.2021 | − | 29.8791i | −0.812164 | − | 1.26375i | ||||
\(560\) | 4.62517 | − | 4.20508i | 0.195449 | − | 0.177697i | ||||
\(561\) | −6.69038 | − | 1.44513i | −0.282468 | − | 0.0610135i | ||||
\(562\) | 50.9739 | − | 26.2789i | 2.15020 | − | 1.10851i | ||||
\(563\) | −17.7362 | + | 7.10051i | −0.747492 | + | 0.299251i | −0.713960 | − | 0.700187i | \(-0.753100\pi\) |
−0.0335328 | + | 0.999438i | \(0.510676\pi\) | |||||||
\(564\) | 32.1552 | + | 19.5350i | 1.35398 | + | 0.822571i | ||||
\(565\) | 4.63145 | + | 8.98376i | 0.194847 | + | 0.377950i | ||||
\(566\) | −3.07814 | − | 3.55237i | −0.129384 | − | 0.149317i | ||||
\(567\) | 23.4583 | − | 4.08778i | 0.985154 | − | 0.171671i | ||||
\(568\) | −1.62423 | + | 1.04383i | −0.0681510 | + | 0.0437980i | ||||
\(569\) | −14.2002 | − | 14.8928i | −0.595305 | − | 0.624338i | 0.355296 | − | 0.934754i | \(-0.384380\pi\) |
−0.950601 | + | 0.310416i | \(0.899532\pi\) | |||||||
\(570\) | 2.79276 | + | 5.72775i | 0.116976 | + | 0.239909i | ||||
\(571\) | −2.46606 | − | 2.35139i | −0.103202 | − | 0.0984025i | 0.636722 | − | 0.771093i | \(-0.280290\pi\) |
−0.739924 | + | 0.672691i | \(0.765138\pi\) | |||||||
\(572\) | 22.3656 | + | 31.4082i | 0.935155 | + | 1.31324i | ||||
\(573\) | 7.81517 | + | 7.79229i | 0.326483 | + | 0.325527i | ||||
\(574\) | 14.4487 | + | 13.1331i | 0.603078 | + | 0.548167i | ||||
\(575\) | 4.24432 | − | 21.1378i | 0.177000 | − | 0.881507i | ||||
\(576\) | −19.2503 | − | 20.0710i | −0.802096 | − | 0.836291i | ||||
\(577\) | −23.6407 | − | 30.0616i | −0.984176 | − | 1.25148i | −0.967827 | − | 0.251616i | \(-0.919038\pi\) |
−0.0163493 | − | 0.999866i | \(-0.505204\pi\) | |||||||
\(578\) | 3.51760 | + | 36.8380i | 0.146313 | + | 1.53226i | ||||
\(579\) | 42.8005 | − | 18.4025i | 1.77873 | − | 0.764783i | ||||
\(580\) | 16.0328 | + | 13.8925i | 0.665727 | + | 0.576856i | ||||
\(581\) | 40.2373 | + | 21.9680i | 1.66932 | + | 0.911387i | ||||
\(582\) | 54.9044 | + | 20.3866i | 2.27586 | + | 0.845053i | ||||
\(583\) | −23.7815 | − | 2.27086i | −0.984929 | − | 0.0940493i | ||||
\(584\) | −9.68959 | + | 27.9962i | −0.400958 | + | 1.15849i | ||||
\(585\) | −2.29311 | + | 6.68890i | −0.0948084 | + | 0.276552i | ||||
\(586\) | −27.9560 | + | 35.5489i | −1.15485 | + | 1.46851i | ||||
\(587\) | −5.44313 | + | 37.8578i | −0.224662 | + | 1.56256i | 0.495410 | + | 0.868659i | \(0.335018\pi\) |
−0.720072 | + | 0.693899i | \(0.755891\pi\) | |||||||
\(588\) | 30.0520 | + | 36.2796i | 1.23932 | + | 1.49614i | ||||
\(589\) | 11.2014 | + | 12.9271i | 0.461545 | + | 0.532652i | ||||
\(590\) | −0.228967 | + | 2.39786i | −0.00942644 | + | 0.0987181i | ||||
\(591\) | −12.7947 | + | 2.17083i | −0.526304 | + | 0.0892960i | ||||
\(592\) | −1.22058 | − | 5.03131i | −0.0501656 | − | 0.206785i | ||||
\(593\) | 10.4377 | + | 30.1577i | 0.428624 | + | 1.23843i | 0.928175 | + | 0.372143i | \(0.121377\pi\) |
−0.499551 | + | 0.866284i | \(0.666502\pi\) | |||||||
\(594\) | 30.0778 | − | 22.7231i | 1.23411 | − | 0.932340i | ||||
\(595\) | 1.48812 | − | 1.98815i | 0.0610069 | − | 0.0815060i | ||||
\(596\) | −13.2600 | + | 1.90649i | −0.543149 | + | 0.0780930i | ||||
\(597\) | −0.0442066 | − | 0.365187i | −0.00180926 | − | 0.0149461i | ||||
\(598\) | 37.4492 | + | 9.39331i | 1.53141 | + | 0.384121i | ||||
\(599\) | −19.5328 | + | 11.2772i | −0.798087 | + | 0.460776i | −0.842802 | − | 0.538224i | \(-0.819095\pi\) |
0.0447149 | + | 0.999000i | \(0.485762\pi\) | |||||||
\(600\) | −34.3908 | + | 9.26906i | −1.40400 | + | 0.378408i | ||||
\(601\) | −39.0243 | − | 17.8218i | −1.59183 | − | 0.726966i | −0.594796 | − | 0.803877i | \(-0.702767\pi\) |
−0.997038 | + | 0.0769109i | \(0.975494\pi\) | |||||||
\(602\) | −61.7955 | − | 30.0138i | −2.51860 | − | 1.22327i | ||||
\(603\) | 15.2616 | + | 23.5951i | 0.621500 | + | 0.960866i | ||||
\(604\) | −6.74616 | + | 6.43245i | −0.274497 | + | 0.261733i | ||||
\(605\) | 1.29908 | + | 0.669725i | 0.0528153 | + | 0.0272282i | ||||
\(606\) | 0.713205 | + | 28.2218i | 0.0289720 | + | 1.14643i | ||||
\(607\) | 2.13891 | + | 11.0977i | 0.0868156 | + | 0.450442i | 0.999159 | + | 0.0410153i | \(0.0130592\pi\) |
−0.912343 | + | 0.409427i | \(0.865729\pi\) | |||||||
\(608\) | 1.93783 | + | 1.24537i | 0.0785892 | + | 0.0505062i | ||||
\(609\) | −24.2697 | + | 25.5313i | −0.983458 | + | 1.03458i | ||||
\(610\) | 1.28289 | − | 8.92267i | 0.0519426 | − | 0.361268i | ||||
\(611\) | −8.50096 | − | 16.4896i | −0.343912 | − | 0.667096i | ||||
\(612\) | 12.5741 | + | 8.89853i | 0.508278 | + | 0.359702i | ||||
\(613\) | −27.2528 | + | 38.2712i | −1.10073 | + | 1.54576i | −0.293089 | + | 0.956085i | \(0.594683\pi\) |
−0.807641 | + | 0.589674i | \(0.799256\pi\) | |||||||
\(614\) | 1.03527 | + | 21.7329i | 0.0417800 | + | 0.877070i | ||||
\(615\) | 1.31297 | + | 3.50450i | 0.0529439 | + | 0.141315i | ||||
\(616\) | 33.2701 | + | 14.2447i | 1.34049 | + | 0.573934i | ||||
\(617\) | 1.01130 | + | 3.44418i | 0.0407135 | + | 0.138657i | 0.977342 | − | 0.211668i | \(-0.0678894\pi\) |
−0.936628 | + | 0.350325i | \(0.886071\pi\) | |||||||
\(618\) | −6.88038 | + | 21.6330i | −0.276770 | + | 0.870208i | ||||
\(619\) | 20.0166 | + | 25.4532i | 0.804536 | + | 1.02305i | 0.999111 | + | 0.0421626i | \(0.0134248\pi\) |
−0.194575 | + | 0.980888i | \(0.562333\pi\) | |||||||
\(620\) | 19.1477 | − | 11.0549i | 0.768990 | − | 0.443977i | ||||
\(621\) | 5.37888 | − | 24.3324i | 0.215847 | − | 0.976427i | ||||
\(622\) | 64.6260i | 2.59127i | ||||||||
\(623\) | 1.96916 | + | 1.33259i | 0.0788926 | + | 0.0533891i | ||||
\(624\) | −4.09145 | − | 18.6762i | −0.163789 | − | 0.747647i | ||||
\(625\) | 4.16990 | − | 17.1885i | 0.166796 | − | 0.687542i | ||||
\(626\) | 8.80392 | + | 1.69682i | 0.351875 | + | 0.0678184i | ||||
\(627\) | −7.02841 | + | 8.53784i | −0.280688 | + | 0.340969i | ||||
\(628\) | 8.11820 | − | 0.386718i | 0.323952 | − | 0.0154317i | ||||
\(629\) | −0.854430 | − | 1.87094i | −0.0340684 | − | 0.0745993i | ||||
\(630\) | 2.94725 | + | 13.3557i | 0.117421 | + | 0.532103i | ||||
\(631\) | −18.9390 | − | 12.1714i | −0.753950 | − | 0.484534i | 0.106346 | − | 0.994329i | \(-0.466085\pi\) |
−0.860296 | + | 0.509795i | \(0.829721\pi\) | |||||||
\(632\) | 12.1439 | − | 15.4423i | 0.483060 | − | 0.614261i | ||||
\(633\) | −16.3575 | − | 9.93753i | −0.650150 | − | 0.394981i | ||||
\(634\) | 0.0599883 | − | 1.25931i | 0.00238244 | − | 0.0500136i | ||||
\(635\) | −1.36973 | + | 0.263993i | −0.0543560 | + | 0.0104763i | ||||
\(636\) | 47.2261 | + | 25.6976i | 1.87264 | + | 1.01898i | ||||
\(637\) | −3.30865 | − | 22.9923i | −0.131094 | − | 0.910987i | ||||
\(638\) | −15.7111 | + | 53.5071i | −0.622009 | + | 2.11837i | ||||
\(639\) | −0.0639577 | − | 1.26461i | −0.00253013 | − | 0.0500270i | ||||
\(640\) | 9.96554 | − | 10.4516i | 0.393922 | − | 0.413134i | ||||
\(641\) | −2.47122 | − | 25.8798i | −0.0976074 | − | 1.02219i | −0.903055 | − | 0.429524i | \(-0.858681\pi\) |
0.805448 | − | 0.592667i | \(-0.201925\pi\) | |||||||
\(642\) | −3.17901 | − | 11.7950i | −0.125466 | − | 0.465513i | ||||
\(643\) | − | 38.9786i | − | 1.53717i | −0.639750 | − | 0.768583i | \(-0.720962\pi\) | ||
0.639750 | − | 0.768583i | \(-0.279038\pi\) | |||||||
\(644\) | 47.0752 | − | 14.6499i | 1.85502 | − | 0.577287i | ||||
\(645\) | −7.90627 | − | 10.5293i | −0.311309 | − | 0.414592i | ||||
\(646\) | −6.35475 | − | 2.54406i | −0.250024 | − | 0.100095i | ||||
\(647\) | 4.40542 | − | 0.420666i | 0.173195 | − | 0.0165381i | −0.00809831 | − | 0.999967i | \(-0.502578\pi\) |
0.181293 | + | 0.983429i | \(0.441972\pi\) | |||||||
\(648\) | −39.9512 | + | 9.94050i | −1.56943 | + | 0.390500i | ||||
\(649\) | −3.95029 | + | 1.36721i | −0.155062 | + | 0.0536676i | ||||
\(650\) | 34.7255 | + | 10.1963i | 1.36205 | + | 0.399933i | ||||
\(651\) | 16.8725 | + | 32.6058i | 0.661286 | + | 1.27792i | ||||
\(652\) | 7.55444 | + | 16.5419i | 0.295855 | + | 0.647832i | ||||
\(653\) | 0.722184 | + | 3.74705i | 0.0282612 | + | 0.146633i | 0.993318 | − | 0.115406i | \(-0.0368170\pi\) |
−0.965057 | + | 0.262040i | \(0.915605\pi\) | |||||||
\(654\) | −41.3607 | − | 60.9178i | −1.61733 | − | 2.38208i | ||||
\(655\) | 3.39895 | − | 1.36073i | 0.132808 | − | 0.0531683i | ||||
\(656\) | −7.95397 | − | 6.25507i | −0.310550 | − | 0.244219i | ||||
\(657\) | −12.7665 | − | 14.6463i | −0.498069 | − | 0.571408i | ||||
\(658\) | −30.6414 | − | 18.6744i | −1.19453 | − | 0.728002i | ||||
\(659\) | 26.5285 | − | 12.1151i | 1.03340 | − | 0.471939i | 0.174812 | − | 0.984602i | \(-0.444068\pi\) |
0.858590 | + | 0.512663i | \(0.171341\pi\) | |||||||
\(660\) | 9.11722 | + | 11.0093i | 0.354887 | + | 0.428536i | ||||
\(661\) | −30.9027 | + | 7.49691i | −1.20197 | + | 0.291596i | −0.786258 | − | 0.617898i | \(-0.787984\pi\) |
−0.415717 | + | 0.909494i | \(0.636469\pi\) | |||||||
\(662\) | 8.03307 | − | 41.6795i | 0.312214 | − | 1.61992i | ||||
\(663\) | −3.00025 | − | 6.97797i | −0.116520 | − | 0.271002i | ||||
\(664\) | −72.0984 | − | 32.9263i | −2.79796 | − | 1.27779i | ||||
\(665\) | −1.75337 | − | 3.60891i | −0.0679929 | − | 0.139948i | ||||
\(666\) | 10.8781 | + | 3.15949i | 0.421519 | + | 0.122428i | ||||
\(667\) | 15.0537 | + | 33.6516i | 0.582883 | + | 1.30299i | ||||
\(668\) | 32.9149 | + | 57.0103i | 1.27352 | + | 2.20580i | ||||
\(669\) | 8.29667 | − | 31.1462i | 0.320768 | − | 1.20418i | ||||
\(670\) | −13.1476 | + | 9.36238i | −0.507937 | + | 0.361700i | ||||
\(671\) | 15.0101 | − | 4.40736i | 0.579457 | − | 0.170144i | ||||
\(672\) | 3.41723 | + | 3.57294i | 0.131822 | + | 0.137829i | ||||
\(673\) | −0.853372 | − | 0.250573i | −0.0328951 | − | 0.00965887i | 0.265244 | − | 0.964181i | \(-0.414548\pi\) |
−0.298139 | + | 0.954523i | \(0.596366\pi\) | |||||||
\(674\) | 71.3453 | − | 3.39859i | 2.74812 | − | 0.130909i | ||||
\(675\) | 5.94654 | − | 22.5898i | 0.228882 | − | 0.869480i | ||||
\(676\) | 2.52632 | − | 7.29932i | 0.0971661 | − | 0.280743i | ||||
\(677\) | 11.1815 | − | 5.76448i | 0.429741 | − | 0.221547i | −0.229765 | − | 0.973246i | \(-0.573796\pi\) |
0.659506 | + | 0.751699i | \(0.270766\pi\) | |||||||
\(678\) | 52.4386 | − | 28.7335i | 2.01389 | − | 1.10350i | ||||
\(679\) | −34.5521 | − | 12.8849i | −1.32599 | − | 0.494476i | ||||
\(680\) | −2.32132 | + | 3.61205i | −0.0890186 | + | 0.138516i | ||||
\(681\) | −2.29646 | − | 2.08148i | −0.0880005 | − | 0.0797625i | ||||
\(682\) | 47.3429 | + | 33.7127i | 1.81285 | + | 1.29093i | ||||
\(683\) | −5.40950 | + | 10.4930i | −0.206989 | + | 0.401502i | −0.969362 | − | 0.245635i | \(-0.921004\pi\) |
0.762374 | + | 0.647137i | \(0.224034\pi\) | |||||||
\(684\) | 22.0878 | − | 11.4692i | 0.844549 | − | 0.438535i | ||||
\(685\) | 4.94410 | + | 4.28409i | 0.188904 | + | 0.163686i | ||||
\(686\) | −28.6131 | − | 34.6415i | −1.09245 | − | 1.32262i | ||||
\(687\) | 5.33605 | + | 24.3574i | 0.203583 | + | 0.929294i | ||||
\(688\) | 33.0521 | + | 13.2321i | 1.26010 | + | 0.504467i | ||||
\(689\) | −13.2553 | − | 22.9589i | −0.504988 | − | 0.874666i | ||||
\(690\) | 14.1001 | + | 2.46237i | 0.536781 | + | 0.0937410i | ||||
\(691\) | −23.3195 | − | 13.4635i | −0.887115 | − | 0.512176i | −0.0141175 | − | 0.999900i | \(-0.504494\pi\) |
−0.872998 | + | 0.487724i | \(0.837827\pi\) | |||||||
\(692\) | 11.3319 | + | 78.8154i | 0.430776 | + | 2.99611i | ||||
\(693\) | −18.9584 | + | 14.2808i | −0.720170 | + | 0.542484i | ||||
\(694\) | 49.4071 | − | 14.5072i | 1.87547 | − | 0.550688i | ||||
\(695\) | 11.3822 | − | 3.93941i | 0.431750 | − | 0.149430i | ||||
\(696\) | 38.7079 | − | 47.0209i | 1.46722 | − | 1.78232i | ||||
\(697\) | −3.57313 | − | 1.84208i | −0.135342 | − | 0.0697737i | ||||
\(698\) | −81.5537 | − | 7.78743i | −3.08685 | − | 0.294759i | ||||
\(699\) | −33.9750 | − | 7.33866i | −1.28505 | − | 0.277573i | ||||
\(700\) | 44.6392 | − | 11.9640i | 1.68720 | − | 0.452195i | ||||
\(701\) | 40.6763 | + | 5.84837i | 1.53632 | + | 0.220890i | 0.857914 | − | 0.513794i | \(-0.171760\pi\) |
0.678410 | + | 0.734684i | \(0.262669\pi\) | |||||||
\(702\) | 39.9014 | + | 12.5619i | 1.50598 | + | 0.474120i | ||||
\(703\) | −3.31933 | − | 0.158119i | −0.125191 | − | 0.00596359i | ||||
\(704\) | 26.1964 | + | 9.06667i | 0.987315 | + | 0.341713i | ||||
\(705\) | −3.58821 | − | 5.86745i | −0.135140 | − | 0.220981i | ||||
\(706\) | −38.5832 | − | 60.0366i | −1.45210 | − | 2.25951i | ||||
\(707\) | −0.424095 | − | 17.7703i | −0.0159497 | − | 0.668320i | ||||
\(708\) | 9.38476 | + | 0.657383i | 0.352701 | + | 0.0247060i | ||||
\(709\) | −0.179826 | + | 0.741253i | −0.00675351 | + | 0.0278384i | −0.975089 | − | 0.221816i | \(-0.928802\pi\) |
0.968335 | + | 0.249654i | \(0.0803169\pi\) | |||||||
\(710\) | 0.724000 | − | 0.0691336i | 0.0271712 | − | 0.00259454i | ||||
\(711\) | 4.82354 | + | 11.9470i | 0.180897 | + | 0.448047i | ||||
\(712\) | −3.56014 | − | 2.05545i | −0.133422 | − | 0.0770311i | ||||
\(713\) | 38.2743 | − | 3.35532i | 1.43338 | − | 0.125658i | ||||
\(714\) | −11.9805 | − | 8.50372i | −0.448358 | − | 0.318244i | ||||
\(715\) | −1.00308 | − | 6.97659i | −0.0375131 | − | 0.260910i | ||||
\(716\) | 69.6284 | − | 49.5822i | 2.60214 | − | 1.85297i | ||||
\(717\) | −24.1493 | − | 2.85149i | −0.901871 | − | 0.106491i | ||||
\(718\) | −12.3816 | − | 2.38636i | −0.462077 | − | 0.0890581i | ||||
\(719\) | −0.442680 | + | 0.422095i | −0.0165092 | + | 0.0157415i | −0.698289 | − | 0.715816i | \(-0.746055\pi\) |
0.681780 | + | 0.731558i | \(0.261206\pi\) | |||||||
\(720\) | −2.01684 | − | 6.79496i | −0.0751633 | − | 0.253233i | ||||
\(721\) | 4.35133 | − | 13.6150i | 0.162052 | − | 0.507049i | ||||
\(722\) | 26.4777 | − | 22.9430i | 0.985397 | − | 0.853851i | ||||
\(723\) | 16.7736 | − | 34.6591i | 0.623817 | − | 1.28899i | ||||
\(724\) | −22.8336 | − | 57.0356i | −0.848604 | − | 2.11971i | ||||
\(725\) | 12.8434 | + | 32.0813i | 0.476992 | + | 1.19147i | ||||
\(726\) | 3.76665 | − | 7.78300i | 0.139794 | − | 0.288854i | ||||
\(727\) | 18.0565 | − | 15.6461i | 0.669680 | − | 0.580281i | −0.252239 | − | 0.967665i | \(-0.581167\pi\) |
0.921918 | + | 0.387384i | \(0.126621\pi\) | |||||||
\(728\) | 8.53943 | + | 39.2436i | 0.316492 | + | 1.45446i | ||||
\(729\) | 7.37859 | − | 25.9722i | 0.273281 | − | 0.961934i | ||||
\(730\) | 8.07675 | − | 7.70116i | 0.298934 | − | 0.285033i | ||||
\(731\) | 13.8885 | + | 2.67678i | 0.513684 | + | 0.0990044i | ||||
\(732\) | −34.9642 | − | 4.12849i | −1.29231 | − | 0.152594i | ||||
\(733\) | −15.7114 | + | 11.1880i | −0.580314 | + | 0.413240i | −0.832167 | − | 0.554526i | \(-0.812900\pi\) |
0.251852 | + | 0.967766i | \(0.418960\pi\) | |||||||
\(734\) | −2.57685 | − | 17.9224i | −0.0951134 | − | 0.661528i | ||||
\(735\) | −1.84390 | − | 8.41193i | −0.0680132 | − | 0.310279i | ||||
\(736\) | 4.81824 | − | 1.88569i | 0.177603 | − | 0.0695076i | ||||
\(737\) | −24.2577 | − | 14.0052i | −0.893543 | − | 0.515887i | ||||
\(738\) | 20.5297 | − | 8.28878i | 0.755708 | − | 0.305114i | ||||
\(739\) | −26.6231 | + | 2.54220i | −0.979348 | + | 0.0935164i | −0.572435 | − | 0.819950i | \(-0.694001\pi\) |
−0.406913 | + | 0.913467i | \(0.633395\pi\) | |||||||
\(740\) | −1.01268 | + | 4.17434i | −0.0372270 | + | 0.153452i | ||||
\(741\) | −12.2419 | − | 0.857521i | −0.449718 | − | 0.0315018i | ||||
\(742\) | −45.0069 | − | 24.5721i | −1.65225 | − | 0.902069i | ||||
\(743\) | −10.9546 | − | 17.0457i | −0.401886 | − | 0.625347i | 0.580045 | − | 0.814584i | \(-0.303035\pi\) |
−0.981931 | + | 0.189237i | \(0.939398\pi\) | |||||||
\(744\) | −33.1157 | − | 54.1510i | −1.21408 | − | 1.98527i | ||||
\(745\) | 2.31416 | + | 0.800937i | 0.0847841 | + | 0.0293441i | ||||
\(746\) | 80.8142 | + | 3.84965i | 2.95882 | + | 0.140946i | ||||
\(747\) | 42.2544 | − | 30.2764i | 1.54601 | − | 1.10775i | ||||
\(748\) | −15.1985 | − | 2.18522i | −0.555713 | − | 0.0798994i | ||||
\(749\) | 1.99121 | + | 7.42948i | 0.0727572 | + | 0.271467i | ||||
\(750\) | 27.7011 | + | 5.98349i | 1.01150 | + | 0.218486i | ||||
\(751\) | 5.73447 | + | 0.547576i | 0.209254 | + | 0.0199813i | 0.199157 | − | 0.979968i | \(-0.436180\pi\) |
0.0100974 | + | 0.999949i | \(0.496786\pi\) | |||||||
\(752\) | 16.5290 | + | 8.52129i | 0.602751 | + | 0.310740i | ||||
\(753\) | 16.4837 | − | 20.0238i | 0.600701 | − | 0.729708i | ||||
\(754\) | −58.4808 | + | 20.2404i | −2.12974 | + | 0.737111i | ||||
\(755\) | 1.63491 | − | 0.480054i | 0.0595006 | − | 0.0174709i | ||||
\(756\) | 51.8550 | − | 12.8250i | 1.88595 | − | 0.466441i | ||||
\(757\) | 0.504598 | + | 3.50956i | 0.0183399 | + | 0.127557i | 0.996935 | − | 0.0782406i | \(-0.0249302\pi\) |
−0.978595 | + | 0.205798i | \(0.934021\pi\) | |||||||
\(758\) | −27.4261 | − | 15.8345i | −0.996163 | − | 0.575135i | ||||
\(759\) | 6.27792 | + | 24.0334i | 0.227874 | + | 0.872357i | ||||
\(760\) | 3.46853 | + | 6.00767i | 0.125817 | + | 0.217921i | ||||
\(761\) | −44.7770 | − | 17.9260i | −1.62317 | − | 0.649817i | −0.631119 | − | 0.775686i | \(-0.717404\pi\) |
−0.992047 | + | 0.125869i | \(0.959828\pi\) | |||||||
\(762\) | 1.76600 | + | 8.06124i | 0.0639753 | + | 0.292028i | ||||
\(763\) | 25.9886 | + | 38.3931i | 0.940851 | + | 1.38992i | ||||
\(764\) | 18.7106 | + | 16.2128i | 0.676925 | + | 0.586559i | ||||
\(765\) | −1.29765 | − | 2.49908i | −0.0469167 | − | 0.0903543i | ||||
\(766\) | −38.5524 | + | 74.7812i | −1.39295 | + | 2.70196i | ||||
\(767\) | −3.77867 | − | 2.69078i | −0.136440 | − | 0.0971585i | ||||
\(768\) | −39.5074 | − | 35.8089i | −1.42560 | − | 1.29214i | ||||
\(769\) | 9.49971 | − | 14.7818i | 0.342568 | − | 0.533047i | −0.626634 | − | 0.779314i | \(-0.715568\pi\) |
0.969202 | + | 0.246267i | \(0.0792041\pi\) | |||||||
\(770\) | −8.68069 | − | 10.5122i | −0.312830 | − | 0.378834i | ||||
\(771\) | −6.71558 | + | 3.67977i | −0.241856 | + | 0.132524i | ||||
\(772\) | 92.8958 | − | 47.8911i | 3.34339 | − | 1.72364i | ||||
\(773\) | 2.73343 | − | 7.89773i | 0.0983147 | − | 0.284062i | −0.885109 | − | 0.465384i | \(-0.845916\pi\) |
0.983424 | + | 0.181322i | \(0.0580376\pi\) | |||||||
\(774\) | −61.0897 | + | 48.3321i | −2.19583 | + | 1.73726i | ||||
\(775\) | 35.9743 | − | 1.71367i | 1.29224 | − | 0.0615568i | ||||
\(776\) | 61.1747 | + | 17.9625i | 2.19605 | + | 0.644817i | ||||
\(777\) | −6.84655 | − | 1.99898i | −0.245619 | − | 0.0717129i | ||||
\(778\) | −91.5855 | + | 26.8919i | −3.28350 | + | 0.964122i | ||||
\(779\) | −5.29064 | + | 3.76745i | −0.189557 | + | 0.134983i | ||||
\(780\) | −4.08308 | + | 15.3281i | −0.146198 | + | 0.548835i | ||||
\(781\) | 0.631077 | + | 1.09306i | 0.0225817 | + | 0.0391127i | ||||
\(782\) | −12.9987 | + | 8.21195i | −0.464832 | + | 0.293659i | ||||
\(783\) | 14.1229 | + | 37.3623i | 0.504712 | + | 1.33522i | ||||
\(784\) | 16.0703 | + | 16.8500i | 0.573940 | + | 0.601784i | ||||
\(785\) | −1.35143 | − | 0.617177i | −0.0482346 | − | 0.0220280i | ||||
\(786\) | −8.55551 | − | 19.8983i | −0.305165 | − | 0.709750i | ||||
\(787\) | −7.70656 | + | 39.9855i | −0.274709 | + | 1.42533i | 0.538141 | + | 0.842855i | \(0.319127\pi\) |
−0.812850 | + | 0.582473i | \(0.802085\pi\) | |||||||
\(788\) | −28.2922 | + | 6.86361i | −1.00787 | + | 0.244506i | ||||
\(789\) | 3.24700 | + | 3.92084i | 0.115596 | + | 0.139586i | ||||
\(790\) | −6.73155 | + | 3.07420i | −0.239498 | + | 0.109375i | ||||
\(791\) | −33.0430 | + | 18.0455i | −1.17487 | + | 0.641623i | ||||
\(792\) | 30.9348 | − | 26.9644i | 1.09922 | − | 0.958137i | ||||
\(793\) | 13.6460 | + | 10.7313i | 0.484582 | + | 0.381079i | ||||
\(794\) | −14.4425 | + | 5.78189i | −0.512544 | + | 0.205192i | ||||
\(795\) | −5.52071 | − | 8.13114i | −0.195800 | − | 0.288382i | ||||
\(796\) | −0.156172 | − | 0.810300i | −0.00553539 | − | 0.0287203i | ||||
\(797\) | −13.3237 | − | 29.1749i | −0.471951 | − | 1.03343i | −0.984599 | − | 0.174829i | \(-0.944063\pi\) |
0.512648 | − | 0.858599i | \(-0.328665\pi\) | |||||||
\(798\) | −21.0814 | + | 10.9090i | −0.746273 | + | 0.386174i | ||||
\(799\) | 7.08864 | + | 2.08141i | 0.250778 | + | 0.0736351i | ||||
\(800\) | 4.58334 | − | 1.58631i | 0.162045 | − | 0.0560845i | ||||
\(801\) | 2.33088 | − | 1.35486i | 0.0823574 | − | 0.0478716i | ||||
\(802\) | −57.4788 | + | 5.48856i | −2.02965 | + | 0.193808i | ||||
\(803\) | 17.9796 | + | 7.19796i | 0.634487 | + | 0.254010i | ||||
\(804\) | 37.8516 | + | 50.4096i | 1.33492 | + | 1.77781i | ||||
\(805\) | −8.87585 | − | 1.56289i | −0.312833 | − | 0.0550847i | ||||
\(806\) | 64.4962i | 2.27178i | ||||||||
\(807\) | −8.70875 | − | 32.3119i | −0.306563 | − | 1.13743i | ||||
\(808\) | 2.92132 | + | 30.5935i | 0.102772 | + | 1.07627i | ||||
\(809\) | 5.03998 | − | 5.28578i | 0.177196 | − | 0.185838i | −0.629146 | − | 0.777287i | \(-0.716595\pi\) |
0.806343 | + | 0.591449i | \(0.201444\pi\) | |||||||
\(810\) | 15.0923 | + | 3.56777i | 0.530289 | + | 0.125359i | ||||
\(811\) | −11.6019 | + | 39.5123i | −0.407397 | + | 1.38747i | 0.459145 | + | 0.888361i | \(0.348156\pi\) |
−0.866542 | + | 0.499105i | \(0.833662\pi\) | |||||||
\(812\) | −50.3095 | + | 60.9393i | −1.76552 | + | 2.13855i | ||||
\(813\) | 25.6525 | + | 13.9586i | 0.899674 | + | 0.489548i | ||||
\(814\) | −11.0872 | + | 2.13689i | −0.388608 | + | 0.0748980i | ||||
\(815\) | 0.158175 | − | 3.32050i | 0.00554062 | − | 0.116312i | ||||
\(816\) | 6.50708 | + | 3.95320i | 0.227793 | + | 0.138390i | ||||
\(817\) | 14.1261 | − | 17.9628i | 0.494211 | − | 0.628440i | ||||
\(818\) | 72.8184 | + | 46.7976i | 2.54604 | + | 1.63624i | ||||
\(819\) | −25.1126 | − | 7.94484i | −0.877504 | − | 0.277615i | ||||
\(820\) | 3.48756 | + | 7.63669i | 0.121791 | + | 0.266685i | ||||
\(821\) | 1.86176 | − | 0.0886864i | 0.0649758 | − | 0.00309518i | −0.0150689 | − | 0.999886i | \(-0.504797\pi\) |
0.0800446 | + | 0.996791i | \(0.474494\pi\) | |||||||
\(822\) | 24.5975 | − | 29.8801i | 0.857937 | − | 1.04219i | ||||
\(823\) | −12.3924 | − | 2.38845i | −0.431973 | − | 0.0832560i | −0.0313703 | − | 0.999508i | \(-0.509987\pi\) |
−0.400603 | + | 0.916252i | \(0.631199\pi\) | |||||||
\(824\) | −5.82621 | + | 24.0160i | −0.202966 | + | 0.836636i | ||||
\(825\) | 4.98279 | + | 22.7449i | 0.173478 | + | 0.791876i | ||||
\(826\) | −8.94972 | − | 0.639548i | −0.311401 | − | 0.0222527i | ||||
\(827\) | − | 2.33813i | − | 0.0813049i | −0.999173 | − | 0.0406524i | \(-0.987056\pi\) | ||
0.999173 | − | 0.0406524i | \(-0.0129436\pi\) | |||||||
\(828\) | 8.22282 | − | 55.2952i | 0.285763 | − | 1.92164i | ||||
\(829\) | 30.4452 | − | 17.5775i | 1.05740 | − | 0.610493i | 0.132691 | − | 0.991157i | \(-0.457638\pi\) |
0.924713 | + | 0.380665i | \(0.124305\pi\) | |||||||
\(830\) | 18.4565 | + | 23.4694i | 0.640636 | + | 0.814635i | ||||
\(831\) | 11.1515 | − | 35.0621i | 0.386842 | − | 1.21629i | ||||
\(832\) | 8.66678 | + | 29.5163i | 0.300467 | + | 1.02330i | ||||
\(833\) | 7.53591 | + | 5.36491i | 0.261104 | + | 0.185883i | ||||
\(834\) | −24.9992 | − | 66.7264i | −0.865650 | − | 2.31055i | ||||
\(835\) | −0.572585 | − | 12.0200i | −0.0198151 | − | 0.415971i | ||||
\(836\) | −14.3901 | + | 20.2081i | −0.497692 | + | 0.698910i | ||||
\(837\) | 41.6117 | − | 1.17369i | 1.43831 | − | 0.0405688i | ||||
\(838\) | 14.7289 | + | 28.5701i | 0.508801 | + | 0.986937i | ||||
\(839\) | −3.27815 | + | 22.8000i | −0.113174 | + | 0.787144i | 0.851624 | + | 0.524153i | \(0.175618\pi\) |
−0.964798 | + | 0.262991i | \(0.915291\pi\) | |||||||
\(840\) | 4.21655 | + | 14.2796i | 0.145485 | + | 0.492691i | ||||
\(841\) | −25.3123 | − | 16.2672i | −0.872839 | − | 0.560939i | ||||
\(842\) | 17.1700 | + | 89.0864i | 0.591717 | + | 3.07012i | ||||
\(843\) | 1.03439 | + | 40.9312i | 0.0356264 | + | 1.40975i | ||||
\(844\) | −38.1631 | − | 19.6744i | −1.31363 | − | 0.677222i | ||||
\(845\) | −1.02189 | + | 0.974371i | −0.0351541 | + | 0.0335194i | ||||
\(846\) | −34.1644 | + | 22.0979i | −1.17459 | + | 0.759742i | ||||
\(847\) | −2.37853 | + | 4.89718i | −0.0817274 | + | 0.168269i | ||||
\(848\) | 24.1727 | + | 11.0393i | 0.830093 | + | 0.379091i | ||||
\(849\) | 3.24026 | − | 0.873319i | 0.111205 | − | 0.0299722i | ||||
\(850\) | −12.4816 | + | 7.20627i | −0.428116 | + | 0.247173i | ||||
\(851\) | −4.65952 | + | 5.83138i | −0.159726 | + | 0.199897i | ||||
\(852\) | −0.341362 | − | 2.81996i | −0.0116949 | − | 0.0966102i | ||||
\(853\) | 39.8603 | − | 5.73105i | 1.36479 | − | 0.196227i | 0.579307 | − | 0.815110i | \(-0.303323\pi\) |
0.785484 | + | 0.618882i | \(0.212414\pi\) | |||||||
\(854\) | 33.3411 | + | 3.98436i | 1.14091 | + | 0.136342i | ||||
\(855\) | −4.54950 | + | 0.0133405i | −0.155590 | + | 0.000456234i | ||||
\(856\) | −4.34952 | − | 12.5671i | −0.148664 | − | 0.429535i | ||||
\(857\) | 11.4499 | + | 47.1973i | 0.391123 | + | 1.61223i | 0.738329 | + | 0.674441i | \(0.235615\pi\) |
−0.347206 | + | 0.937789i | \(0.612870\pi\) | |||||||
\(858\) | −41.1102 | + | 6.97502i | −1.40348 | + | 0.238123i | ||||
\(859\) | −2.68110 | + | 28.0778i | −0.0914780 | + | 0.958001i | 0.826914 | + | 0.562329i | \(0.190095\pi\) |
−0.918392 | + | 0.395673i | \(0.870512\pi\) | |||||||
\(860\) | −19.3435 | − | 22.3236i | −0.659608 | − | 0.761228i | ||||
\(861\) | −12.9337 | + | 5.20081i | −0.440780 | + | 0.177243i | ||||
\(862\) | 9.13129 | − | 63.5095i | 0.311013 | − | 2.16314i | ||||
\(863\) | −3.61753 | + | 4.60007i | −0.123142 | + | 0.156588i | −0.843715 | − | 0.536791i | \(-0.819636\pi\) |
0.720573 | + | 0.693379i | \(0.243879\pi\) | |||||||
\(864\) | 5.33224 | − | 1.73042i | 0.181407 | − | 0.0588701i | ||||
\(865\) | 4.76066 | − | 13.7550i | 0.161867 | − | 0.467685i | ||||
\(866\) | 17.3803 | + | 1.65962i | 0.590607 | + | 0.0563962i | ||||
\(867\) | −24.7678 | − | 9.19656i | −0.841158 | − | 0.312332i | ||||
\(868\) | 42.8691 | + | 70.3216i | 1.45507 | + | 2.38687i | ||||
\(869\) | −9.70578 | − | 8.41010i | −0.329246 | − | 0.285293i | ||||
\(870\) | −21.0765 | + | 9.06210i | −0.714562 | + | 0.307234i | ||||
\(871\) | −2.95467 | − | 30.9427i | −0.100115 | − | 1.04845i | ||||
\(872\) | −49.5501 | − | 63.0081i | −1.67798 | − | 2.13372i | ||||
\(873\) | −30.1774 | + | 28.9435i | −1.02135 | + | 0.979589i | ||||
\(874\) | 2.16939 | + | 24.7464i | 0.0733808 | + | 0.837059i | ||||
\(875\) | −17.4365 | − | 3.79197i | −0.589463 | − | 0.128192i | ||||
\(876\) | −30.8653 | − | 30.7749i | −1.04284 | − | 1.03979i | ||||
\(877\) | 14.6893 | + | 20.6282i | 0.496021 | + | 0.696564i | 0.984376 | − | 0.176081i | \(-0.0563422\pi\) |
−0.488355 | + | 0.872645i | \(0.662403\pi\) | |||||||
\(878\) | −64.5918 | − | 61.5882i | −2.17987 | − | 2.07850i | ||||
\(879\) | −14.1506 | − | 29.0220i | −0.477290 | − | 0.978888i | ||||
\(880\) | 4.87554 | + | 5.11332i | 0.164354 | + | 0.172370i | ||||
\(881\) | −41.9020 | + | 26.9287i | −1.41171 | + | 0.907253i | −0.999992 | − | 0.00405742i | \(-0.998708\pi\) |
−0.411721 | + | 0.911310i | \(0.635072\pi\) | |||||||
\(882\) | −49.4733 | + | 12.1622i | −1.66585 | + | 0.409523i | ||||
\(883\) | 4.35290 | + | 5.02351i | 0.146487 | + | 0.169055i | 0.824251 | − | 0.566225i | \(-0.191597\pi\) |
−0.677764 | + | 0.735279i | \(0.737051\pi\) | |||||||
\(884\) | −7.80792 | − | 15.1453i | −0.262609 | − | 0.509390i | ||||
\(885\) | −1.46976 | − | 0.892912i | −0.0494054 | − | 0.0300149i | ||||
\(886\) | 6.23037 | − | 2.49427i | 0.209314 | − | 0.0837965i | ||||
\(887\) | −10.1708 | + | 5.24340i | −0.341502 | + | 0.176056i | −0.620442 | − | 0.784252i | \(-0.713047\pi\) |
0.278941 | + | 0.960308i | \(0.410017\pi\) | |||||||
\(888\) | 12.0536 | + | 2.60359i | 0.404491 | + | 0.0873708i | ||||
\(889\) | −1.10482 | − | 5.07727i | −0.0370543 | − | 0.170286i | ||||
\(890\) | 0.837211 | + | 1.30273i | 0.0280634 | + | 0.0436674i | ||||
\(891\) | 5.24826 | + | 26.3966i | 0.175823 | + | 0.884319i | ||||
\(892\) | 13.6843 | − | 71.0006i | 0.458183 | − | 2.37728i | ||||
\(893\) | 8.23699 | − | 8.63871i | 0.275640 | − | 0.289083i | ||||
\(894\) | 4.39095 | − | 13.8058i | 0.146855 | − | 0.461736i | ||||
\(895\) | −15.4663 | + | 2.22372i | −0.516982 | + | 0.0743308i | ||||
\(896\) | 39.8062 | + | 36.1818i | 1.32983 | + | 1.20875i | ||||
\(897\) | −17.6838 | + | 21.1451i | −0.590445 | + | 0.706015i | ||||
\(898\) | 11.1366 | − | 19.2891i | 0.371632 | − | 0.643685i | ||||
\(899\) | −48.4073 | + | 38.0679i | −1.61447 | + | 1.26964i | ||||
\(900\) | 9.76632 | − | 51.4844i | 0.325544 | − | 1.71615i | ||||
\(901\) | 10.2597 | + | 2.48899i | 0.341802 | + | 0.0829202i | ||||
\(902\) | −14.4519 | + | 16.6784i | −0.481196 | + | 0.555330i | ||||
\(903\) | 38.5075 | − | 30.3779i | 1.28145 | − | 1.01091i | ||||
\(904\) | 54.7605 | − | 35.1924i | 1.82131 | − | 1.17048i | ||||
\(905\) | −1.06753 | + | 11.1797i | −0.0354860 | + | 0.371626i | ||||
\(906\) | −3.08343 | − | 9.59727i | −0.102440 | − | 0.318848i | ||||
\(907\) | −0.381404 | + | 8.00666i | −0.0126643 | + | 0.265857i | 0.983651 | + | 0.180087i | \(0.0576380\pi\) |
−0.996315 | + | 0.0857697i | \(0.972665\pi\) | |||||||
\(908\) | −5.46539 | − | 4.29803i | −0.181375 | − | 0.142635i | ||||
\(909\) | −18.3584 | − | 8.31903i | −0.608910 | − | 0.275925i | ||||
\(910\) | 3.91473 | − | 14.6135i | 0.129772 | − | 0.484434i | ||||
\(911\) | 7.13641 | − | 6.18374i | 0.236440 | − | 0.204876i | −0.528579 | − | 0.848884i | \(-0.677275\pi\) |
0.765019 | + | 0.644008i | \(0.222730\pi\) | |||||||
\(912\) | 10.4944 | − | 6.41781i | 0.347505 | − | 0.212515i | ||||
\(913\) | −23.7429 | + | 46.0547i | −0.785774 | + | 1.52419i | ||||
\(914\) | 22.4843 | − | 5.45463i | 0.743714 | − | 0.180423i | ||||
\(915\) | 5.33512 | + | 3.59952i | 0.176374 | + | 0.118996i | ||||
\(916\) | 15.7594 | + | 53.6715i | 0.520705 | + | 1.77336i | ||||
\(917\) | 5.36931 | + | 12.5364i | 0.177310 | + | 0.413989i | ||||
\(918\) | −14.5858 | + | 8.04794i | −0.481404 | + | 0.265622i | ||||
\(919\) | −3.11219 | + | 5.39048i | −0.102662 | + | 0.177815i | −0.912781 | − | 0.408450i | \(-0.866069\pi\) |
0.810119 | + | 0.586266i | \(0.199403\pi\) | |||||||
\(920\) | 15.4995 | + | 1.60146i | 0.511002 | + | 0.0527985i | ||||
\(921\) | −14.2886 | − | 6.09394i | −0.470824 | − | 0.200802i | ||||
\(922\) | 10.7923 | − | 26.9580i | 0.355427 | − | 0.887813i | ||||
\(923\) | −0.581843 | + | 1.27406i | −0.0191516 | + | 0.0419361i | ||||
\(924\) | −40.1872 | + | 34.9300i | −1.32206 | + | 1.14911i | ||||
\(925\) | −4.58199 | + | 5.28789i | −0.150655 | + | 0.173865i | ||||
\(926\) | −37.1621 | − | 38.9744i | −1.22122 | − | 1.28078i | ||||
\(927\) | −11.7625 | − | 11.1498i | −0.386330 | − | 0.366208i | ||||
\(928\) | −4.81054 | + | 6.75546i | −0.157914 | + | 0.221759i | ||||
\(929\) | −2.63865 | + | 0.508558i | −0.0865713 | + | 0.0166853i | −0.232353 | − | 0.972632i | \(-0.574642\pi\) |
0.145782 | + | 0.989317i | \(0.453430\pi\) | |||||||
\(930\) | 1.74072 | + | 23.8470i | 0.0570804 | + | 0.781974i | ||||
\(931\) | 13.2834 | − | 6.85012i | 0.435346 | − | 0.224503i | ||||
\(932\) | −77.1809 | − | 11.0969i | −2.52815 | − | 0.363492i | ||||
\(933\) | −41.5316 | − | 20.0996i | −1.35968 | − | 0.658031i | ||||
\(934\) | 33.0676 | + | 11.4448i | 1.08201 | + | 0.374486i | ||||
\(935\) | 2.28639 | + | 1.62813i | 0.0747731 | + | 0.0532457i | ||||
\(936\) | 44.2870 | + | 10.6065i | 1.44756 | + | 0.346684i | ||||
\(937\) | −4.75792 | + | 16.2040i | −0.155434 | + | 0.529361i | −0.999981 | − | 0.00612070i | \(-0.998052\pi\) |
0.844547 | + | 0.535482i | \(0.179870\pi\) | |||||||
\(938\) | −36.0330 | − | 48.1283i | −1.17652 | − | 1.57145i | ||||
\(939\) | −3.82859 | + | 5.13006i | −0.124941 | + | 0.167413i | ||||
\(940\) | −8.94959 | − | 12.5679i | −0.291903 | − | 0.409921i | ||||
\(941\) | 34.7032 | − | 27.2909i | 1.13129 | − | 0.889658i | 0.136405 | − | 0.990653i | \(-0.456445\pi\) |
0.994887 | + | 0.100996i | \(0.0322028\pi\) | |||||||
\(942\) | −3.44806 | + | 8.08471i | −0.112344 | + | 0.263414i | ||||
\(943\) | −0.113184 | + | 14.5885i | −0.00368578 | + | 0.475067i | ||||
\(944\) | 4.64992 | 0.151342 | ||||||||
\(945\) | −9.49961 | − | 2.25977i | −0.309022 | − | 0.0735104i | ||||
\(946\) | 32.2556 | − | 70.6300i | 1.04872 | − | 2.29638i | ||||
\(947\) | 13.6302 | + | 3.30665i | 0.442921 | + | 0.107452i | 0.451016 | − | 0.892516i | \(-0.351062\pi\) |
−0.00809506 | + | 0.999967i | \(0.502577\pi\) | |||||||
\(948\) | 12.6671 | + | 25.9793i | 0.411407 | + | 0.843768i | ||||
\(949\) | 5.06687 | + | 20.8859i | 0.164477 | + | 0.677985i | ||||
\(950\) | 1.10798 | + | 23.2593i | 0.0359475 | + | 0.754632i | ||||
\(951\) | 0.790632 | + | 0.430214i | 0.0256380 | + | 0.0139507i | ||||
\(952\) | −13.6572 | − | 8.32336i | −0.442632 | − | 0.269762i | ||||
\(953\) | −10.7709 | + | 16.7599i | −0.348904 | + | 0.542906i | −0.970706 | − | 0.240269i | \(-0.922764\pi\) |
0.621802 | + | 0.783174i | \(0.286401\pi\) | |||||||
\(954\) | −47.2632 | + | 33.8653i | −1.53020 | + | 1.09643i | ||||
\(955\) | −1.68203 | − | 4.20150i | −0.0544292 | − | 0.135957i | ||||
\(956\) | −54.4892 | − | 2.59564i | −1.76231 | − | 0.0839489i | ||||
\(957\) | −29.4997 | − | 26.7382i | −0.953591 | − | 0.864322i | ||||
\(958\) | −40.5468 | + | 18.5171i | −1.31001 | + | 0.598261i | ||||
\(959\) | −15.5141 | + | 18.7921i | −0.500977 | + | 0.606827i | ||||
\(960\) | 4.00111 | + | 10.6795i | 0.129135 | + | 0.344681i | ||||
\(961\) | 10.8527 | + | 31.3569i | 0.350088 | + | 1.01151i | ||||
\(962\) | −9.06846 | − | 8.64676i | −0.292379 | − | 0.278783i | ||||
\(963\) | 8.56875 | + | 1.62545i | 0.276124 | + | 0.0523793i | ||||
\(964\) | 32.1036 | − | 80.1909i | 1.03399 | − | 2.58277i | ||||
\(965\) | −19.1051 | −0.615016 | ||||||||
\(966\) | −7.91652 | + | 52.7262i | −0.254710 | + | 1.69644i | ||||
\(967\) | −32.4547 | −1.04367 | −0.521837 | − | 0.853045i | \(-0.674753\pi\) | ||||
−0.521837 | + | 0.853045i | \(0.674753\pi\) | |||||||
\(968\) | 3.49839 | − | 8.73856i | 0.112443 | − | 0.280868i | ||||
\(969\) | 3.61135 | − | 3.29262i | 0.116013 | − | 0.105774i | ||||
\(970\) | −17.3820 | − | 16.5737i | −0.558102 | − | 0.532149i | ||||
\(971\) | −11.8043 | − | 34.1064i | −0.378819 | − | 1.09453i | −0.959818 | − | 0.280622i | \(-0.909459\pi\) |
0.580999 | − | 0.813904i | \(-0.302662\pi\) | |||||||
\(972\) | 12.4408 | − | 59.2783i | 0.399039 | − | 1.90135i | ||||
\(973\) | 15.6815 | + | 42.0359i | 0.502726 | + | 1.34761i | ||||
\(974\) | 30.2744 | − | 13.8258i | 0.970053 | − | 0.443008i | ||||
\(975\) | −17.3528 | + | 19.1450i | −0.555733 | + | 0.613131i | ||||
\(976\) | −17.3819 | − | 0.828002i | −0.556381 | − | 0.0265037i | ||||
\(977\) | −19.8105 | − | 49.4842i | −0.633793 | − | 1.58314i | −0.801958 | − | 0.597380i | \(-0.796208\pi\) |
0.168165 | − | 0.985759i | \(-0.446216\pi\) | |||||||
\(978\) | −19.6614 | − | 0.439186i | −0.628701 | − | 0.0140436i | ||||
\(979\) | −1.45291 | + | 2.26077i | −0.0464351 | + | 0.0722544i | ||||
\(980\) | −5.44496 | − | 18.5355i | −0.173933 | − | 0.592094i | ||||
\(981\) | 52.0123 | − | 7.63398i | 1.66063 | − | 0.243734i | ||||
\(982\) | 1.86343 | + | 39.1183i | 0.0594645 | + | 1.24831i | ||||
\(983\) | −4.67832 | − | 19.2843i | −0.149215 | − | 0.615074i | −0.996475 | − | 0.0838943i | \(-0.973264\pi\) |
0.847259 | − | 0.531179i | \(-0.178251\pi\) | |||||||
\(984\) | 21.6639 | − | 10.5630i | 0.690620 | − | 0.336735i | ||||
\(985\) | 5.17180 | + | 1.25467i | 0.164787 | + | 0.0399770i | ||||
\(986\) | 10.2376 | − | 22.4171i | 0.326030 | − | 0.713907i | ||||
\(987\) | 21.5309 | − | 13.8836i | 0.685336 | − | 0.441919i | ||||
\(988\) | −27.5299 | −0.875842 | ||||||||
\(989\) | −14.0788 | − | 49.3614i | −0.447679 | − | 1.56960i | ||||
\(990\) | −15.0120 | + | 3.68850i | −0.477111 | + | 0.117228i | ||||
\(991\) | 16.2915 | − | 12.8118i | 0.517517 | − | 0.406980i | −0.324947 | − | 0.945732i | \(-0.605347\pi\) |
0.842464 | + | 0.538752i | \(0.181104\pi\) | |||||||
\(992\) | 5.01358 | + | 7.04058i | 0.159181 | + | 0.223539i | ||||
\(993\) | 24.2868 | + | 18.1253i | 0.770717 | + | 0.575190i | ||||
\(994\) | 0.321790 | + | 2.68996i | 0.0102066 | + | 0.0853203i | ||||
\(995\) | −0.0424989 | + | 0.144738i | −0.00134731 | + | 0.00458850i | ||||
\(996\) | 89.8126 | − | 74.3773i | 2.84582 | − | 2.35673i | ||||
\(997\) | −28.0663 | − | 19.9860i | −0.888870 | − | 0.632962i | 0.0416780 | − | 0.999131i | \(-0.486730\pi\) |
−0.930548 | + | 0.366170i | \(0.880669\pi\) | |||||||
\(998\) | 10.7707 | + | 3.72777i | 0.340940 | + | 0.118001i | ||||
\(999\) | −5.41369 | + | 6.00814i | −0.171282 | + | 0.190089i |
(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.bb.a.26.7 | ✓ | 1200 | |
3.2 | odd | 2 | inner | 483.2.bb.a.26.54 | yes | 1200 | |
7.3 | odd | 6 | inner | 483.2.bb.a.164.7 | yes | 1200 | |
21.17 | even | 6 | inner | 483.2.bb.a.164.54 | yes | 1200 | |
23.8 | even | 11 | inner | 483.2.bb.a.215.54 | yes | 1200 | |
69.8 | odd | 22 | inner | 483.2.bb.a.215.7 | yes | 1200 | |
161.31 | odd | 66 | inner | 483.2.bb.a.353.54 | yes | 1200 | |
483.353 | even | 66 | inner | 483.2.bb.a.353.7 | yes | 1200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bb.a.26.7 | ✓ | 1200 | 1.1 | even | 1 | trivial | |
483.2.bb.a.26.54 | yes | 1200 | 3.2 | odd | 2 | inner | |
483.2.bb.a.164.7 | yes | 1200 | 7.3 | odd | 6 | inner | |
483.2.bb.a.164.54 | yes | 1200 | 21.17 | even | 6 | inner | |
483.2.bb.a.215.7 | yes | 1200 | 69.8 | odd | 22 | inner | |
483.2.bb.a.215.54 | yes | 1200 | 23.8 | even | 11 | inner | |
483.2.bb.a.353.7 | yes | 1200 | 483.353 | even | 66 | inner | |
483.2.bb.a.353.54 | yes | 1200 | 161.31 | odd | 66 | inner |