Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [114,2,Mod(29,114)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(114, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("114.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 114 = 2 \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 114.l (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.910294583043\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{18})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - x^{15} - 18 x^{14} + 36 x^{13} + 10 x^{12} + 18 x^{11} + 90 x^{10} - 567 x^{9} + 270 x^{8} + 162 x^{7} + 270 x^{6} + 2916 x^{5} - 4374 x^{4} - 729 x^{3} + 19683 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 59.1 | ||
Root | \(1.47158 - 0.913487i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 114.59 |
Dual form | 114.2.l.b.29.1 |
$q$-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 \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.173648 | − | 0.984808i | 0.122788 | − | 0.696364i | ||||
\(3\) | −1.69526 | + | 0.355087i | −0.978760 | + | 0.205010i | ||||
\(4\) | −0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | ||||
\(5\) | −0.882820 | − | 2.42553i | −0.394809 | − | 1.08473i | −0.964779 | − | 0.263063i | \(-0.915267\pi\) |
0.569970 | − | 0.821666i | \(-0.306955\pi\) | |||||||
\(6\) | 0.0553136 | + | 1.73117i | 0.0225817 | + | 0.706746i | ||||
\(7\) | −1.58376 | − | 2.74316i | −0.598607 | − | 1.03682i | −0.993027 | − | 0.117887i | \(-0.962388\pi\) |
0.394420 | − | 0.918930i | \(-0.370945\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | 2.74783 | − | 1.20393i | 0.915942 | − | 0.401311i | ||||
\(10\) | −2.54198 | + | 0.448219i | −0.803844 | + | 0.141739i | ||||
\(11\) | −2.16590 | − | 1.25049i | −0.653045 | − | 0.377036i | 0.136577 | − | 0.990629i | \(-0.456390\pi\) |
−0.789622 | + | 0.613594i | \(0.789723\pi\) | |||||||
\(12\) | 1.71447 | + | 0.246141i | 0.494925 | + | 0.0710547i | ||||
\(13\) | 2.71907 | + | 3.24046i | 0.754135 | + | 0.898743i | 0.997462 | − | 0.0712015i | \(-0.0226833\pi\) |
−0.243327 | + | 0.969944i | \(0.578239\pi\) | |||||||
\(14\) | −2.97650 | + | 1.08336i | −0.795504 | + | 0.289540i | ||||
\(15\) | 2.35788 | + | 3.79843i | 0.608803 | + | 0.980749i | ||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | 1.32278 | + | 0.233243i | 0.320822 | + | 0.0565696i | 0.331740 | − | 0.943371i | \(-0.392364\pi\) |
−0.0109180 | + | 0.999940i | \(0.503475\pi\) | |||||||
\(18\) | −0.708487 | − | 2.91514i | −0.166992 | − | 0.687105i | ||||
\(19\) | 3.14841 | − | 3.01455i | 0.722294 | − | 0.691586i | ||||
\(20\) | 2.58119i | 0.577172i | ||||||||
\(21\) | 3.65896 | + | 4.08800i | 0.798450 | + | 0.892075i | ||||
\(22\) | −1.60759 | + | 1.91586i | −0.342740 | + | 0.408462i | ||||
\(23\) | −1.30503 | + | 3.58554i | −0.272117 | + | 0.747636i | 0.726080 | + | 0.687611i | \(0.241340\pi\) |
−0.998197 | + | 0.0600255i | \(0.980882\pi\) | |||||||
\(24\) | 0.540116 | − | 1.64568i | 0.110251 | − | 0.335924i | ||||
\(25\) | −1.27359 | + | 1.06867i | −0.254718 | + | 0.213734i | ||||
\(26\) | 3.66340 | − | 2.11506i | 0.718451 | − | 0.414798i | ||||
\(27\) | −4.23078 | + | 3.01670i | −0.814215 | + | 0.580564i | ||||
\(28\) | 0.550036 | + | 3.11941i | 0.103947 | + | 0.589513i | ||||
\(29\) | −1.32242 | − | 7.49981i | −0.245567 | − | 1.39268i | −0.819172 | − | 0.573547i | \(-0.805567\pi\) |
0.573606 | − | 0.819132i | \(-0.305544\pi\) | |||||||
\(30\) | 4.15016 | − | 1.66247i | 0.757712 | − | 0.303525i | ||||
\(31\) | 6.89193 | − | 3.97906i | 1.23783 | − | 0.714660i | 0.269177 | − | 0.963091i | \(-0.413248\pi\) |
0.968650 | + | 0.248431i | \(0.0799149\pi\) | |||||||
\(32\) | 0.766044 | − | 0.642788i | 0.135419 | − | 0.113630i | ||||
\(33\) | 4.11581 | + | 1.35082i | 0.716470 | + | 0.235147i | ||||
\(34\) | 0.459398 | − | 1.26219i | 0.0787861 | − | 0.216463i | ||||
\(35\) | −5.25543 | + | 6.26318i | −0.888330 | + | 1.05867i | ||||
\(36\) | −2.99388 | + | 0.191514i | −0.498980 | + | 0.0319190i | ||||
\(37\) | − | 4.10469i | − | 0.674806i | −0.941360 | − | 0.337403i | \(-0.890451\pi\) | ||
0.941360 | − | 0.337403i | \(-0.109549\pi\) | |||||||
\(38\) | −2.42204 | − | 3.62405i | −0.392907 | − | 0.587898i | ||||
\(39\) | −5.76019 | − | 4.52793i | −0.922368 | − | 0.725048i | ||||
\(40\) | 2.54198 | + | 0.448219i | 0.401922 | + | 0.0708697i | ||||
\(41\) | 4.95792 | + | 4.16019i | 0.774297 | + | 0.649712i | 0.941805 | − | 0.336158i | \(-0.109128\pi\) |
−0.167509 | + | 0.985871i | \(0.553572\pi\) | |||||||
\(42\) | 4.66127 | − | 2.89350i | 0.719249 | − | 0.446476i | ||||
\(43\) | −11.7465 | + | 4.27537i | −1.79132 | + | 0.651987i | −0.792191 | + | 0.610273i | \(0.791060\pi\) |
−0.999130 | + | 0.0417144i | \(0.986718\pi\) | |||||||
\(44\) | 1.60759 | + | 1.91586i | 0.242354 | + | 0.288826i | ||||
\(45\) | −5.34601 | − | 5.60207i | −0.796935 | − | 0.835108i | ||||
\(46\) | 3.30445 | + | 1.90782i | 0.487214 | + | 0.281293i | ||||
\(47\) | 6.16940 | − | 1.08783i | 0.899899 | − | 0.158676i | 0.295486 | − | 0.955347i | \(-0.404519\pi\) |
0.604414 | + | 0.796671i | \(0.293407\pi\) | |||||||
\(48\) | −1.52689 | − | 0.817681i | −0.220388 | − | 0.118022i | ||||
\(49\) | −1.51662 | + | 2.62686i | −0.216660 | + | 0.375266i | ||||
\(50\) | 0.831277 | + | 1.43981i | 0.117560 | + | 0.203621i | ||||
\(51\) | −2.32529 | + | 0.0742967i | −0.325605 | + | 0.0104036i | ||||
\(52\) | −1.44679 | − | 3.97502i | −0.200633 | − | 0.551236i | ||||
\(53\) | −3.46508 | − | 1.26118i | −0.475965 | − | 0.173237i | 0.0928877 | − | 0.995677i | \(-0.470390\pi\) |
−0.568853 | + | 0.822440i | \(0.692612\pi\) | |||||||
\(54\) | 2.23620 | + | 4.69035i | 0.304308 | + | 0.638276i | ||||
\(55\) | −1.12098 | + | 6.35742i | −0.151153 | + | 0.857234i | ||||
\(56\) | 3.16753 | 0.423279 | ||||||||
\(57\) | −4.26694 | + | 6.22842i | −0.565170 | + | 0.824974i | ||||
\(58\) | −7.61550 | −0.999964 | ||||||||
\(59\) | −1.54335 | + | 8.75275i | −0.200927 | + | 1.13951i | 0.702796 | + | 0.711392i | \(0.251935\pi\) |
−0.903722 | + | 0.428119i | \(0.859176\pi\) | |||||||
\(60\) | −0.916549 | − | 4.37580i | −0.118326 | − | 0.564913i | ||||
\(61\) | −0.133301 | − | 0.0485177i | −0.0170675 | − | 0.00621206i | 0.333472 | − | 0.942760i | \(-0.391780\pi\) |
−0.350540 | + | 0.936548i | \(0.614002\pi\) | |||||||
\(62\) | −2.72184 | − | 7.47818i | −0.345673 | − | 0.949730i | ||||
\(63\) | −7.65449 | − | 5.63098i | −0.964375 | − | 0.709437i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 5.45938 | − | 9.45593i | 0.677153 | − | 1.17286i | ||||
\(66\) | 2.04500 | − | 3.81871i | 0.251722 | − | 0.470051i | ||||
\(67\) | −4.48795 | + | 0.791347i | −0.548291 | + | 0.0966784i | −0.440930 | − | 0.897542i | \(-0.645351\pi\) |
−0.107361 | + | 0.994220i | \(0.534240\pi\) | |||||||
\(68\) | −1.16324 | − | 0.671595i | −0.141063 | − | 0.0814429i | ||||
\(69\) | 0.939187 | − | 6.54182i | 0.113065 | − | 0.787543i | ||||
\(70\) | 5.25543 | + | 6.26318i | 0.628144 | + | 0.748593i | ||||
\(71\) | 8.59275 | − | 3.12750i | 1.01977 | − | 0.371166i | 0.222594 | − | 0.974911i | \(-0.428548\pi\) |
0.797178 | + | 0.603745i | \(0.206325\pi\) | |||||||
\(72\) | −0.331277 | + | 2.98165i | −0.0390414 | + | 0.351391i | ||||
\(73\) | −1.67672 | − | 1.40694i | −0.196245 | − | 0.164670i | 0.539370 | − | 0.842069i | \(-0.318662\pi\) |
−0.735615 | + | 0.677399i | \(0.763107\pi\) | |||||||
\(74\) | −4.04233 | − | 0.712771i | −0.469911 | − | 0.0828580i | ||||
\(75\) | 1.77960 | − | 2.26391i | 0.205490 | − | 0.261414i | ||||
\(76\) | −3.98957 | + | 1.75594i | −0.457635 | + | 0.201420i | ||||
\(77\) | 7.92190i | 0.902784i | ||||||||
\(78\) | −5.45938 | + | 4.88641i | −0.618153 | + | 0.553277i | ||||
\(79\) | 6.41515 | − | 7.64528i | 0.721760 | − | 0.860161i | −0.273040 | − | 0.962003i | \(-0.588029\pi\) |
0.994801 | + | 0.101842i | \(0.0324736\pi\) | |||||||
\(80\) | 0.882820 | − | 2.42553i | 0.0987023 | − | 0.271182i | ||||
\(81\) | 6.10110 | − | 6.61639i | 0.677900 | − | 0.735155i | ||||
\(82\) | 4.95792 | − | 4.16019i | 0.547511 | − | 0.459416i | ||||
\(83\) | 12.3308 | − | 7.11920i | 1.35348 | − | 0.781433i | 0.364747 | − | 0.931107i | \(-0.381156\pi\) |
0.988735 | + | 0.149673i | \(0.0478222\pi\) | |||||||
\(84\) | −2.04012 | − | 5.09290i | −0.222595 | − | 0.555681i | ||||
\(85\) | −0.602044 | − | 3.41436i | −0.0653008 | − | 0.370339i | ||||
\(86\) | 2.17066 | + | 12.3104i | 0.234068 | + | 1.32747i | ||||
\(87\) | 4.90493 | + | 12.2446i | 0.525864 | + | 1.31275i | ||||
\(88\) | 2.16590 | − | 1.25049i | 0.230886 | − | 0.133302i | ||||
\(89\) | −12.7492 | + | 10.6978i | −1.35141 | + | 1.13397i | −0.372879 | + | 0.927880i | \(0.621629\pi\) |
−0.978533 | + | 0.206089i | \(0.933926\pi\) | |||||||
\(90\) | −6.44529 | + | 4.29200i | −0.679393 | + | 0.452416i | ||||
\(91\) | 4.58274 | − | 12.5910i | 0.480402 | − | 1.31989i | ||||
\(92\) | 2.45265 | − | 2.92296i | 0.255707 | − | 0.304739i | ||||
\(93\) | −10.2707 | + | 9.19278i | −1.06502 | + | 0.953247i | ||||
\(94\) | − | 6.26457i | − | 0.646141i | ||||||
\(95\) | −10.0914 | − | 4.97524i | −1.03535 | − | 0.510448i | ||||
\(96\) | −1.07040 | + | 1.36171i | −0.109247 | + | 0.138979i | ||||
\(97\) | 0.538573 | + | 0.0949649i | 0.0546838 | + | 0.00964223i | 0.200923 | − | 0.979607i | \(-0.435606\pi\) |
−0.146239 | + | 0.989249i | \(0.546717\pi\) | |||||||
\(98\) | 2.32360 | + | 1.94973i | 0.234719 | + | 0.196952i | ||||
\(99\) | −7.45703 | − | 0.828515i | −0.749460 | − | 0.0832689i | ||||
\(100\) | 1.56229 | − | 0.568627i | 0.156229 | − | 0.0568627i | ||||
\(101\) | 7.56338 | + | 9.01368i | 0.752584 | + | 0.896895i | 0.997355 | − | 0.0726860i | \(-0.0231571\pi\) |
−0.244771 | + | 0.969581i | \(0.578713\pi\) | |||||||
\(102\) | −0.330614 | + | 2.30286i | −0.0327357 | + | 0.228017i | ||||
\(103\) | 6.77528 | + | 3.91171i | 0.667588 | + | 0.385432i | 0.795162 | − | 0.606397i | \(-0.207386\pi\) |
−0.127574 | + | 0.991829i | \(0.540719\pi\) | |||||||
\(104\) | −4.16586 | + | 0.734553i | −0.408496 | + | 0.0720289i | ||||
\(105\) | 6.68536 | − | 12.4839i | 0.652424 | − | 1.21830i | ||||
\(106\) | −1.84373 | + | 3.19343i | −0.179079 | + | 0.310174i | ||||
\(107\) | 2.82951 | + | 4.90085i | 0.273539 | + | 0.473783i | 0.969765 | − | 0.244039i | \(-0.0784725\pi\) |
−0.696227 | + | 0.717822i | \(0.745139\pi\) | |||||||
\(108\) | 5.00741 | − | 1.38776i | 0.481838 | − | 0.133537i | ||||
\(109\) | 5.64501 | + | 15.5095i | 0.540694 | + | 1.48554i | 0.845944 | + | 0.533271i | \(0.179038\pi\) |
−0.305251 | + | 0.952272i | \(0.598740\pi\) | |||||||
\(110\) | 6.06618 | + | 2.20791i | 0.578387 | + | 0.210516i | ||||
\(111\) | 1.45752 | + | 6.95852i | 0.138342 | + | 0.660473i | ||||
\(112\) | 0.550036 | − | 3.11941i | 0.0519735 | − | 0.294756i | ||||
\(113\) | 5.15697 | 0.485127 | 0.242564 | − | 0.970136i | \(-0.422012\pi\) | ||||
0.242564 | + | 0.970136i | \(0.422012\pi\) | |||||||
\(114\) | 5.39285 | + | 5.28367i | 0.505087 | + | 0.494861i | ||||
\(115\) | 9.84893 | 0.918417 | ||||||||
\(116\) | −1.32242 | + | 7.49981i | −0.122783 | + | 0.696339i | ||||
\(117\) | 11.3728 | + | 5.63065i | 1.05142 | + | 0.520554i | ||||
\(118\) | 8.35178 | + | 3.03980i | 0.768843 | + | 0.279836i | ||||
\(119\) | −1.45516 | − | 3.99801i | −0.133394 | − | 0.366497i | ||||
\(120\) | −4.46848 | + | 0.142775i | −0.407914 | + | 0.0130335i | ||||
\(121\) | −2.37257 | − | 4.10941i | −0.215688 | − | 0.373583i | ||||
\(122\) | −0.0709282 | + | 0.122851i | −0.00642154 | + | 0.0111224i | ||||
\(123\) | −9.88220 | − | 5.29211i | −0.891048 | − | 0.477174i | ||||
\(124\) | −7.83721 | + | 1.38191i | −0.703802 | + | 0.124099i | ||||
\(125\) | −7.46045 | − | 4.30729i | −0.667283 | − | 0.385256i | ||||
\(126\) | −6.87462 | + | 6.56039i | −0.612440 | + | 0.584446i | ||||
\(127\) | 5.03745 | + | 6.00340i | 0.447001 | + | 0.532715i | 0.941747 | − | 0.336322i | \(-0.109183\pi\) |
−0.494746 | + | 0.869038i | \(0.664739\pi\) | |||||||
\(128\) | −0.939693 | + | 0.342020i | −0.0830579 | + | 0.0302306i | ||||
\(129\) | 18.3952 | − | 11.4189i | 1.61961 | − | 1.00538i | ||||
\(130\) | −8.36426 | − | 7.01845i | −0.733594 | − | 0.615559i | ||||
\(131\) | −4.43285 | − | 0.781631i | −0.387300 | − | 0.0682914i | −0.0233919 | − | 0.999726i | \(-0.507447\pi\) |
−0.363908 | + | 0.931435i | \(0.618558\pi\) | |||||||
\(132\) | −3.40559 | − | 2.67704i | −0.296418 | − | 0.233006i | ||||
\(133\) | −13.2557 | − | 3.86224i | −1.14942 | − | 0.334898i | ||||
\(134\) | 4.55719i | 0.393681i | ||||||||
\(135\) | 11.0521 | + | 7.59868i | 0.951214 | + | 0.653990i | ||||
\(136\) | −0.863386 | + | 1.02894i | −0.0740347 | + | 0.0882312i | ||||
\(137\) | −2.69063 | + | 7.39245i | −0.229876 | + | 0.631580i | −0.999980 | − | 0.00633905i | \(-0.997982\pi\) |
0.770104 | + | 0.637919i | \(0.220204\pi\) | |||||||
\(138\) | −6.27935 | − | 2.06089i | −0.534534 | − | 0.175435i | ||||
\(139\) | −5.76780 | + | 4.83976i | −0.489219 | + | 0.410503i | −0.853746 | − | 0.520689i | \(-0.825675\pi\) |
0.364528 | + | 0.931193i | \(0.381230\pi\) | |||||||
\(140\) | 7.08063 | − | 4.08800i | 0.598422 | − | 0.345499i | ||||
\(141\) | −10.0725 | + | 4.03483i | −0.848255 | + | 0.339794i | ||||
\(142\) | −1.58788 | − | 9.00529i | −0.133252 | − | 0.755707i | ||||
\(143\) | −1.83710 | − | 10.4187i | −0.153626 | − | 0.871255i | ||||
\(144\) | 2.87883 | + | 0.844003i | 0.239902 | + | 0.0703336i | ||||
\(145\) | −17.0235 | + | 9.82854i | −1.41373 | + | 0.816216i | ||||
\(146\) | −1.67672 | + | 1.40694i | −0.138767 | + | 0.116439i | ||||
\(147\) | 1.63830 | − | 4.99175i | 0.135125 | − | 0.411713i | ||||
\(148\) | −1.40389 | + | 3.85714i | −0.115399 | + | 0.317055i | ||||
\(149\) | 8.79633 | − | 10.4831i | 0.720624 | − | 0.858806i | −0.274068 | − | 0.961710i | \(-0.588369\pi\) |
0.994691 | + | 0.102905i | \(0.0328137\pi\) | |||||||
\(150\) | −1.92049 | − | 2.14569i | −0.156808 | − | 0.175195i | ||||
\(151\) | 8.63653i | 0.702831i | 0.936220 | + | 0.351415i | \(0.114300\pi\) | ||||
−0.936220 | + | 0.351415i | \(0.885700\pi\) | |||||||
\(152\) | 1.03648 | + | 4.23388i | 0.0840695 | + | 0.343413i | ||||
\(153\) | 3.91559 | − | 0.951632i | 0.316557 | − | 0.0769349i | ||||
\(154\) | 7.80155 | + | 1.37562i | 0.628667 | + | 0.110851i | ||||
\(155\) | −15.7356 | − | 13.2038i | −1.26392 | − | 1.06055i | ||||
\(156\) | 3.86416 | + | 6.22496i | 0.309381 | + | 0.498396i | ||||
\(157\) | −3.22785 | + | 1.17484i | −0.257610 | + | 0.0937625i | −0.467597 | − | 0.883942i | \(-0.654880\pi\) |
0.209987 | + | 0.977704i | \(0.432658\pi\) | |||||||
\(158\) | −6.41515 | − | 7.64528i | −0.510362 | − | 0.608225i | ||||
\(159\) | 6.32204 | + | 0.907634i | 0.501371 | + | 0.0719800i | ||||
\(160\) | −2.23538 | − | 1.29060i | −0.176722 | − | 0.102031i | ||||
\(161\) | 11.9026 | − | 2.09874i | 0.938053 | − | 0.165404i | ||||
\(162\) | −5.45643 | − | 7.15733i | −0.428698 | − | 0.562333i | ||||
\(163\) | 3.83308 | − | 6.63909i | 0.300230 | − | 0.520014i | −0.675958 | − | 0.736940i | \(-0.736270\pi\) |
0.976188 | + | 0.216926i | \(0.0696032\pi\) | |||||||
\(164\) | −3.23605 | − | 5.60501i | −0.252693 | − | 0.437677i | ||||
\(165\) | −0.357076 | − | 11.1755i | −0.0277983 | − | 0.870014i | ||||
\(166\) | −4.86982 | − | 13.3797i | −0.377971 | − | 1.03847i | ||||
\(167\) | −2.20429 | − | 0.802294i | −0.170573 | − | 0.0620834i | 0.255322 | − | 0.966856i | \(-0.417818\pi\) |
−0.425895 | + | 0.904773i | \(0.640041\pi\) | |||||||
\(168\) | −5.36979 | + | 1.12475i | −0.414288 | + | 0.0867763i | ||||
\(169\) | −0.849826 | + | 4.81960i | −0.0653712 | + | 0.370739i | ||||
\(170\) | −3.46703 | −0.265909 | ||||||||
\(171\) | 5.02195 | − | 12.0739i | 0.384038 | − | 0.923317i | ||||
\(172\) | 12.5003 | 0.953142 | ||||||||
\(173\) | 2.59056 | − | 14.6918i | 0.196956 | − | 1.11700i | −0.712649 | − | 0.701521i | \(-0.752505\pi\) |
0.909605 | − | 0.415474i | \(-0.136384\pi\) | |||||||
\(174\) | 12.9103 | − | 2.70417i | 0.978725 | − | 0.205002i | ||||
\(175\) | 4.94860 | + | 1.80114i | 0.374079 | + | 0.136154i | ||||
\(176\) | −0.855383 | − | 2.35014i | −0.0644769 | − | 0.177149i | ||||
\(177\) | −0.491615 | − | 15.3862i | −0.0369520 | − | 1.15650i | ||||
\(178\) | 8.32145 | + | 14.4132i | 0.623719 | + | 1.08031i | ||||
\(179\) | −0.0974666 | + | 0.168817i | −0.00728500 | + | 0.0126180i | −0.869645 | − | 0.493678i | \(-0.835652\pi\) |
0.862360 | + | 0.506296i | \(0.168986\pi\) | |||||||
\(180\) | 3.10758 | + | 7.09267i | 0.231625 | + | 0.528656i | ||||
\(181\) | −7.00507 | + | 1.23518i | −0.520683 | + | 0.0918105i | −0.427812 | − | 0.903868i | \(-0.640715\pi\) |
−0.0928709 | + | 0.995678i | \(0.529604\pi\) | |||||||
\(182\) | −11.6039 | − | 6.69952i | −0.860139 | − | 0.496602i | ||||
\(183\) | 0.243209 | + | 0.0349166i | 0.0179785 | + | 0.00258111i | ||||
\(184\) | −2.45265 | − | 2.92296i | −0.180812 | − | 0.215483i | ||||
\(185\) | −9.95603 | + | 3.62370i | −0.731982 | + | 0.266420i | ||||
\(186\) | 7.26963 | + | 11.7110i | 0.533035 | + | 0.858691i | ||||
\(187\) | −2.57336 | − | 2.15930i | −0.188183 | − | 0.157904i | ||||
\(188\) | −6.16940 | − | 1.08783i | −0.449950 | − | 0.0793382i | ||||
\(189\) | 14.9759 | + | 6.82798i | 1.08933 | + | 0.496662i | ||||
\(190\) | −6.65200 | + | 9.07411i | −0.482587 | + | 0.658305i | ||||
\(191\) | − | 11.2480i | − | 0.813878i | −0.913455 | − | 0.406939i | \(-0.866596\pi\) | ||
0.913455 | − | 0.406939i | \(-0.133404\pi\) | |||||||
\(192\) | 1.15515 | + | 1.29060i | 0.0833655 | + | 0.0931408i | ||||
\(193\) | −10.3664 | + | 12.3541i | −0.746187 | + | 0.889271i | −0.996891 | − | 0.0787930i | \(-0.974893\pi\) |
0.250704 | + | 0.968064i | \(0.419338\pi\) | |||||||
\(194\) | 0.187044 | − | 0.513900i | 0.0134290 | − | 0.0368959i | ||||
\(195\) | −5.89740 | + | 17.9688i | −0.422322 | + | 1.28677i | ||||
\(196\) | 2.32360 | − | 1.94973i | 0.165971 | − | 0.139266i | ||||
\(197\) | −19.7987 | + | 11.4308i | −1.41060 | + | 0.814411i | −0.995445 | − | 0.0953383i | \(-0.969607\pi\) |
−0.415157 | + | 0.909750i | \(0.636273\pi\) | |||||||
\(198\) | −2.11083 | + | 7.19987i | −0.150010 | + | 0.511673i | ||||
\(199\) | 0.0579780 | + | 0.328809i | 0.00410995 | + | 0.0233087i | 0.986794 | − | 0.161982i | \(-0.0517885\pi\) |
−0.982684 | + | 0.185290i | \(0.940677\pi\) | |||||||
\(200\) | −0.288700 | − | 1.63730i | −0.0204141 | − | 0.115774i | ||||
\(201\) | 7.32726 | − | 2.93516i | 0.516825 | − | 0.207030i | ||||
\(202\) | 10.1901 | − | 5.88326i | 0.716974 | − | 0.413945i | ||||
\(203\) | −18.4788 | + | 15.5055i | −1.29696 | + | 1.08827i | ||||
\(204\) | 2.21047 | + | 0.725479i | 0.154764 | + | 0.0507937i | ||||
\(205\) | 5.71370 | − | 15.6983i | 0.399062 | − | 1.09641i | ||||
\(206\) | 5.02879 | − | 5.99308i | 0.350373 | − | 0.417558i | ||||
\(207\) | 0.730751 | + | 11.4236i | 0.0507907 | + | 0.793995i | ||||
\(208\) | 4.23012i | 0.293306i | ||||||||
\(209\) | −10.5888 | + | 2.59220i | −0.732443 | + | 0.179306i | ||||
\(210\) | −11.1333 | − | 8.75159i | −0.768271 | − | 0.603917i | ||||
\(211\) | 2.52603 | + | 0.445407i | 0.173899 | + | 0.0306631i | 0.259919 | − | 0.965630i | \(-0.416304\pi\) |
−0.0860206 | + | 0.996293i | \(0.527415\pi\) | |||||||
\(212\) | 2.82476 | + | 2.37025i | 0.194005 | + | 0.162790i | ||||
\(213\) | −13.4564 | + | 8.35311i | −0.922019 | + | 0.572346i | ||||
\(214\) | 5.31773 | − | 1.93550i | 0.363513 | − | 0.132308i | ||||
\(215\) | 20.7400 | + | 24.7170i | 1.41446 | + | 1.68569i | ||||
\(216\) | −0.497145 | − | 5.17232i | −0.0338265 | − | 0.351931i | ||||
\(217\) | −21.8304 | − | 12.6038i | −1.48194 | − | 0.855600i | ||||
\(218\) | 16.2542 | − | 2.86605i | 1.10087 | − | 0.194113i | ||||
\(219\) | 3.34207 | + | 1.78974i | 0.225836 | + | 0.120940i | ||||
\(220\) | 3.22774 | − | 5.59062i | 0.217614 | − | 0.376919i | ||||
\(221\) | 2.84093 | + | 4.92064i | 0.191102 | + | 0.330998i | ||||
\(222\) | 7.10590 | − | 0.227045i | 0.476917 | − | 0.0152383i | ||||
\(223\) | 2.28294 | + | 6.27232i | 0.152877 | + | 0.420026i | 0.992362 | − | 0.123356i | \(-0.0393658\pi\) |
−0.839486 | + | 0.543382i | \(0.817144\pi\) | |||||||
\(224\) | −2.97650 | − | 1.08336i | −0.198876 | − | 0.0723849i | ||||
\(225\) | −2.21300 | + | 4.46983i | −0.147533 | + | 0.297989i | ||||
\(226\) | 0.895499 | − | 5.07863i | 0.0595677 | − | 0.337825i | ||||
\(227\) | 20.0547 | 1.33108 | 0.665539 | − | 0.746363i | \(-0.268202\pi\) | ||||
0.665539 | + | 0.746363i | \(0.268202\pi\) | |||||||
\(228\) | 6.13986 | − | 4.39342i | 0.406622 | − | 0.290961i | ||||
\(229\) | 16.5068 | 1.09080 | 0.545400 | − | 0.838176i | \(-0.316378\pi\) | ||||
0.545400 | + | 0.838176i | \(0.316378\pi\) | |||||||
\(230\) | 1.71025 | − | 9.69930i | 0.112770 | − | 0.639553i | ||||
\(231\) | −2.81297 | − | 13.4297i | −0.185080 | − | 0.883609i | ||||
\(232\) | 7.15623 | + | 2.60466i | 0.469830 | + | 0.171004i | ||||
\(233\) | −2.12137 | − | 5.82843i | −0.138976 | − | 0.381833i | 0.850606 | − | 0.525803i | \(-0.176235\pi\) |
−0.989582 | + | 0.143970i | \(0.954013\pi\) | |||||||
\(234\) | 7.51998 | − | 10.2223i | 0.491597 | − | 0.668253i | ||||
\(235\) | −8.08503 | − | 14.0037i | −0.527409 | − | 0.913500i | ||||
\(236\) | 4.44389 | − | 7.69704i | 0.289272 | − | 0.501035i | ||||
\(237\) | −8.16062 | + | 15.2387i | −0.530089 | + | 0.989859i | ||||
\(238\) | −4.18996 | + | 0.738802i | −0.271595 | + | 0.0478895i | ||||
\(239\) | −0.498666 | − | 0.287905i | −0.0322560 | − | 0.0186230i | 0.483785 | − | 0.875187i | \(-0.339262\pi\) |
−0.516041 | + | 0.856564i | \(0.672595\pi\) | |||||||
\(240\) | −0.635337 | + | 4.42538i | −0.0410108 | + | 0.285657i | ||||
\(241\) | −1.09166 | − | 1.30099i | −0.0703198 | − | 0.0838039i | 0.729738 | − | 0.683727i | \(-0.239642\pi\) |
−0.800058 | + | 0.599923i | \(0.795198\pi\) | |||||||
\(242\) | −4.45897 | + | 1.62293i | −0.286634 | + | 0.104326i | ||||
\(243\) | −7.99356 | + | 13.3829i | −0.512787 | + | 0.858516i | ||||
\(244\) | 0.108668 | + | 0.0911835i | 0.00695677 | + | 0.00583743i | ||||
\(245\) | 7.71043 | + | 1.35956i | 0.492601 | + | 0.0868589i | ||||
\(246\) | −6.92774 | + | 8.81310i | −0.441697 | + | 0.561903i | ||||
\(247\) | 18.3293 | + | 2.00550i | 1.16627 | + | 0.127607i | ||||
\(248\) | 7.95811i | 0.505341i | ||||||||
\(249\) | −18.3760 | + | 16.4474i | −1.16453 | + | 1.04231i | ||||
\(250\) | −5.53735 | + | 6.59916i | −0.350213 | + | 0.417367i | ||||
\(251\) | 2.05161 | − | 5.63675i | 0.129496 | − | 0.355789i | −0.857952 | − | 0.513730i | \(-0.828263\pi\) |
0.987449 | + | 0.157941i | \(0.0504856\pi\) | |||||||
\(252\) | 5.26696 | + | 7.90938i | 0.331787 | + | 0.498244i | ||||
\(253\) | 7.31023 | − | 6.13401i | 0.459590 | − | 0.385642i | ||||
\(254\) | 6.78694 | − | 3.91844i | 0.425850 | − | 0.245865i | ||||
\(255\) | 2.23302 | + | 5.57446i | 0.139837 | + | 0.349086i | ||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | 3.23144 | + | 18.3264i | 0.201572 | + | 1.14317i | 0.902744 | + | 0.430178i | \(0.141549\pi\) |
−0.701172 | + | 0.712992i | \(0.747340\pi\) | |||||||
\(258\) | −8.05112 | − | 20.0986i | −0.501241 | − | 1.25129i | ||||
\(259\) | −11.2598 | + | 6.50086i | −0.699651 | + | 0.403944i | ||||
\(260\) | −8.36426 | + | 7.01845i | −0.518729 | + | 0.435266i | ||||
\(261\) | −12.6630 | − | 19.0161i | −0.783822 | − | 1.17706i | ||||
\(262\) | −1.53951 | + | 4.22977i | −0.0951113 | + | 0.261316i | ||||
\(263\) | −1.37946 | + | 1.64398i | −0.0850614 | + | 0.101372i | −0.806896 | − | 0.590693i | \(-0.798854\pi\) |
0.721835 | + | 0.692065i | \(0.243299\pi\) | |||||||
\(264\) | −3.22774 | + | 2.88899i | −0.198654 | + | 0.177805i | ||||
\(265\) | 9.51804i | 0.584688i | ||||||||
\(266\) | −6.10540 | + | 12.3837i | −0.374346 | + | 0.759293i | ||||
\(267\) | 17.8146 | − | 22.6627i | 1.09023 | − | 1.38694i | ||||
\(268\) | 4.48795 | + | 0.791347i | 0.274145 | + | 0.0483392i | ||||
\(269\) | 19.9247 | + | 16.7188i | 1.21483 | + | 1.01936i | 0.999079 | + | 0.0429154i | \(0.0136646\pi\) |
0.215752 | + | 0.976448i | \(0.430780\pi\) | |||||||
\(270\) | 9.40242 | − | 9.56470i | 0.572213 | − | 0.582089i | ||||
\(271\) | 4.62857 | − | 1.68466i | 0.281166 | − | 0.102336i | −0.197588 | − | 0.980285i | \(-0.563311\pi\) |
0.478754 | + | 0.877949i | \(0.341089\pi\) | |||||||
\(272\) | 0.863386 | + | 1.02894i | 0.0523505 | + | 0.0623889i | ||||
\(273\) | −3.29805 | + | 22.9723i | −0.199607 | + | 1.39035i | ||||
\(274\) | 6.81292 | + | 3.93344i | 0.411583 | + | 0.237628i | ||||
\(275\) | 4.09483 | − | 0.722029i | 0.246928 | − | 0.0435400i | ||||
\(276\) | −3.11998 | + | 5.82608i | −0.187801 | + | 0.350689i | ||||
\(277\) | −0.845901 | + | 1.46514i | −0.0508252 | + | 0.0880319i | −0.890319 | − | 0.455338i | \(-0.849518\pi\) |
0.839493 | + | 0.543370i | \(0.182852\pi\) | |||||||
\(278\) | 3.76467 | + | 6.52059i | 0.225790 | + | 0.391079i | ||||
\(279\) | 14.1473 | − | 19.2312i | 0.846977 | − | 1.15134i | ||||
\(280\) | −2.79636 | − | 7.68293i | −0.167114 | − | 0.459143i | ||||
\(281\) | −28.0317 | − | 10.2027i | −1.67223 | − | 0.608642i | −0.680017 | − | 0.733196i | \(-0.738028\pi\) |
−0.992213 | + | 0.124555i | \(0.960250\pi\) | |||||||
\(282\) | 2.22447 | + | 10.6201i | 0.132465 | + | 0.632417i | ||||
\(283\) | 4.10223 | − | 23.2649i | 0.243852 | − | 1.38296i | −0.579290 | − | 0.815121i | \(-0.696670\pi\) |
0.823143 | − | 0.567834i | \(-0.192219\pi\) | |||||||
\(284\) | −9.14421 | −0.542609 | ||||||||
\(285\) | 18.8741 | + | 4.85101i | 1.11801 | + | 0.287349i | ||||
\(286\) | −10.5794 | −0.625574 | ||||||||
\(287\) | 3.55989 | − | 20.1891i | 0.210134 | − | 1.19173i | ||||
\(288\) | 1.33108 | − | 2.68853i | 0.0784349 | − | 0.158423i | ||||
\(289\) | −14.2794 | − | 5.19728i | −0.839966 | − | 0.305723i | ||||
\(290\) | 6.72312 | + | 18.4716i | 0.394795 | + | 1.08469i | ||||
\(291\) | −0.946743 | + | 0.0302500i | −0.0554991 | + | 0.00177328i | ||||
\(292\) | 1.09440 | + | 1.89556i | 0.0640451 | + | 0.110929i | ||||
\(293\) | 4.63502 | − | 8.02810i | 0.270781 | − | 0.469006i | −0.698281 | − | 0.715824i | \(-0.746051\pi\) |
0.969062 | + | 0.246817i | \(0.0793847\pi\) | |||||||
\(294\) | −4.63143 | − | 2.48022i | −0.270110 | − | 0.144649i | ||||
\(295\) | 22.5925 | − | 3.98367i | 1.31539 | − | 0.231938i | ||||
\(296\) | 3.55476 | + | 2.05234i | 0.206616 | + | 0.119290i | ||||
\(297\) | 12.9358 | − | 1.24335i | 0.750612 | − | 0.0721463i | ||||
\(298\) | −8.79633 | − | 10.4831i | −0.509558 | − | 0.607267i | ||||
\(299\) | −15.1673 | + | 5.52043i | −0.877146 | + | 0.319255i | ||||
\(300\) | −2.44658 | + | 1.51872i | −0.141253 | + | 0.0876834i | ||||
\(301\) | 30.3317 | + | 25.4513i | 1.74829 | + | 1.46699i | ||||
\(302\) | 8.50532 | + | 1.49972i | 0.489426 | + | 0.0862991i | ||||
\(303\) | −16.0226 | − | 12.5949i | −0.920472 | − | 0.723558i | ||||
\(304\) | 4.34954 | − | 0.285527i | 0.249463 | − | 0.0163761i | ||||
\(305\) | 0.366159i | 0.0209662i | ||||||||
\(306\) | −0.257240 | − | 4.02135i | −0.0147054 | − | 0.229885i | ||||
\(307\) | 1.76414 | − | 2.10242i | 0.100685 | − | 0.119991i | −0.713349 | − | 0.700809i | \(-0.752823\pi\) |
0.814034 | + | 0.580818i | \(0.197267\pi\) | |||||||
\(308\) | 2.70945 | − | 7.44415i | 0.154385 | − | 0.424170i | ||||
\(309\) | −12.8749 | − | 4.22555i | −0.732425 | − | 0.240383i | ||||
\(310\) | −15.7356 | + | 13.2038i | −0.893724 | + | 0.749924i | ||||
\(311\) | 19.8290 | − | 11.4483i | 1.12440 | − | 0.649172i | 0.181879 | − | 0.983321i | \(-0.441782\pi\) |
0.942520 | + | 0.334148i | \(0.108449\pi\) | |||||||
\(312\) | 6.80139 | − | 2.72450i | 0.385053 | − | 0.154245i | ||||
\(313\) | −2.33240 | − | 13.2277i | −0.131835 | − | 0.747673i | −0.977012 | − | 0.213186i | \(-0.931616\pi\) |
0.845177 | − | 0.534487i | \(-0.179495\pi\) | |||||||
\(314\) | 0.596482 | + | 3.38282i | 0.0336614 | + | 0.190903i | ||||
\(315\) | −6.90057 | + | 23.5373i | −0.388803 | + | 1.32618i | ||||
\(316\) | −8.64310 | + | 4.99010i | −0.486213 | + | 0.280715i | ||||
\(317\) | 15.9117 | − | 13.3515i | 0.893689 | − | 0.749894i | −0.0752579 | − | 0.997164i | \(-0.523978\pi\) |
0.968947 | + | 0.247270i | \(0.0795336\pi\) | |||||||
\(318\) | 1.99166 | − | 6.06839i | 0.111687 | − | 0.340298i | ||||
\(319\) | −6.51417 | + | 17.8975i | −0.364723 | + | 1.00207i | ||||
\(320\) | −1.65916 | + | 1.97731i | −0.0927498 | + | 0.110535i | ||||
\(321\) | −6.53699 | − | 7.30350i | −0.364859 | − | 0.407642i | ||||
\(322\) | − | 12.0862i | − | 0.673536i | ||||||
\(323\) | 4.86778 | − | 3.25326i | 0.270851 | − | 0.181016i | ||||
\(324\) | −7.99609 | + | 4.13068i | −0.444227 | + | 0.229482i | ||||
\(325\) | −6.92597 | − | 1.22124i | −0.384184 | − | 0.0677419i | ||||
\(326\) | −5.87262 | − | 4.92772i | −0.325254 | − | 0.272921i | ||||
\(327\) | −15.0770 | − | 24.2882i | −0.833760 | − | 1.34314i | ||||
\(328\) | −6.08179 | + | 2.21359i | −0.335811 | + | 0.122225i | ||||
\(329\) | −12.7550 | − | 15.2008i | −0.703204 | − | 0.838046i | ||||
\(330\) | −11.0678 | − | 1.58896i | −0.609260 | − | 0.0874693i | ||||
\(331\) | 7.79345 | + | 4.49955i | 0.428367 | + | 0.247318i | 0.698651 | − | 0.715463i | \(-0.253784\pi\) |
−0.270284 | + | 0.962781i | \(0.587118\pi\) | |||||||
\(332\) | −14.0221 | + | 2.47247i | −0.769562 | + | 0.135694i | ||||
\(333\) | −4.94176 | − | 11.2790i | −0.270807 | − | 0.618083i | ||||
\(334\) | −1.17288 | + | 2.03148i | −0.0641769 | + | 0.111158i | ||||
\(335\) | 5.88149 | + | 10.1870i | 0.321340 | + | 0.556577i | ||||
\(336\) | 0.175207 | + | 5.48352i | 0.00955835 | + | 0.299151i | ||||
\(337\) | 4.39017 | + | 12.0619i | 0.239148 | + | 0.657053i | 0.999967 | + | 0.00808963i | \(0.00257504\pi\) |
−0.760819 | + | 0.648964i | \(0.775203\pi\) | |||||||
\(338\) | 4.59881 | + | 1.67383i | 0.250142 | + | 0.0910444i | ||||
\(339\) | −8.74242 | + | 1.83117i | −0.474823 | + | 0.0994558i | ||||
\(340\) | −0.602044 | + | 3.41436i | −0.0326504 | + | 0.185170i | ||||
\(341\) | −19.9030 | −1.07781 | ||||||||
\(342\) | −11.0185 | − | 7.04227i | −0.595810 | − | 0.380803i | ||||
\(343\) | −12.5648 | −0.678437 | ||||||||
\(344\) | 2.17066 | − | 12.3104i | 0.117034 | − | 0.663734i | ||||
\(345\) | −16.6965 | + | 3.49723i | −0.898910 | + | 0.188284i | ||||
\(346\) | −14.0187 | − | 5.10240i | −0.753652 | − | 0.274307i | ||||
\(347\) | 4.73541 | + | 13.0104i | 0.254210 | + | 0.698436i | 0.999498 | + | 0.0316932i | \(0.0100899\pi\) |
−0.745288 | + | 0.666743i | \(0.767688\pi\) | |||||||
\(348\) | −0.421241 | − | 13.1837i | −0.0225809 | − | 0.706721i | ||||
\(349\) | −10.3158 | − | 17.8674i | −0.552190 | − | 0.956421i | −0.998116 | − | 0.0613514i | \(-0.980459\pi\) |
0.445926 | − | 0.895070i | \(-0.352874\pi\) | |||||||
\(350\) | 2.63310 | − | 4.56065i | 0.140745 | − | 0.243777i | ||||
\(351\) | −21.2793 | − | 5.50708i | −1.13581 | − | 0.293946i | ||||
\(352\) | −2.46298 | + | 0.434289i | −0.131277 | + | 0.0231477i | ||||
\(353\) | 19.7460 | + | 11.4004i | 1.05098 | + | 0.606781i | 0.922922 | − | 0.384987i | \(-0.125794\pi\) |
0.128053 | + | 0.991767i | \(0.459127\pi\) | |||||||
\(354\) | −15.2378 | − | 2.18764i | −0.809882 | − | 0.116272i | ||||
\(355\) | −15.1717 | − | 18.0809i | −0.805230 | − | 0.959636i | ||||
\(356\) | 15.6392 | − | 5.69220i | 0.828876 | − | 0.301686i | ||||
\(357\) | 3.88651 | + | 6.26097i | 0.205696 | + | 0.331366i | ||||
\(358\) | 0.149328 | + | 0.125301i | 0.00789221 | + | 0.00662235i | ||||
\(359\) | 7.31056 | + | 1.28905i | 0.385837 | + | 0.0680334i | 0.363202 | − | 0.931710i | \(-0.381683\pi\) |
0.0226346 | + | 0.999744i | \(0.492795\pi\) | |||||||
\(360\) | 7.52454 | − | 1.82874i | 0.396578 | − | 0.0963831i | ||||
\(361\) | 0.824917 | − | 18.9821i | 0.0434167 | − | 0.999057i | ||||
\(362\) | 7.11314i | 0.373858i | ||||||||
\(363\) | 5.48133 | + | 6.12406i | 0.287695 | + | 0.321430i | ||||
\(364\) | −8.61274 | + | 10.2643i | −0.451430 | + | 0.537993i | ||||
\(365\) | −1.93232 | + | 5.30901i | −0.101142 | + | 0.277886i | ||||
\(366\) | 0.0766189 | − | 0.233451i | 0.00400494 | − | 0.0122027i | ||||
\(367\) | −15.2065 | + | 12.7597i | −0.793771 | + | 0.666053i | −0.946676 | − | 0.322188i | \(-0.895582\pi\) |
0.152904 | + | 0.988241i | \(0.451137\pi\) | |||||||
\(368\) | −3.30445 | + | 1.90782i | −0.172256 | + | 0.0994522i | ||||
\(369\) | 18.6321 | + | 5.46248i | 0.969947 | + | 0.284365i | ||||
\(370\) | 1.83980 | + | 10.4340i | 0.0956467 | + | 0.542439i | ||||
\(371\) | 2.02823 | + | 11.5027i | 0.105301 | + | 0.597189i | ||||
\(372\) | 12.7954 | − | 5.12560i | 0.663412 | − | 0.265750i | ||||
\(373\) | 16.5145 | − | 9.53467i | 0.855090 | − | 0.493687i | −0.00727484 | − | 0.999974i | \(-0.502316\pi\) |
0.862365 | + | 0.506287i | \(0.168982\pi\) | |||||||
\(374\) | −2.57336 | + | 2.15930i | −0.133065 | + | 0.111655i | ||||
\(375\) | 14.1769 | + | 4.65288i | 0.732091 | + | 0.240274i | ||||
\(376\) | −2.14261 | + | 5.88677i | −0.110497 | + | 0.303587i | ||||
\(377\) | 20.7071 | − | 24.6778i | 1.06647 | − | 1.27097i | ||||
\(378\) | 9.32478 | − | 13.5627i | 0.479615 | − | 0.697588i | ||||
\(379\) | 30.0894i | 1.54559i | 0.634656 | + | 0.772795i | \(0.281142\pi\) | ||||
−0.634656 | + | 0.772795i | \(0.718858\pi\) | |||||||
\(380\) | 7.78115 | + | 8.12664i | 0.399164 | + | 0.416888i | ||||
\(381\) | −10.6715 | − | 8.38860i | −0.546719 | − | 0.429761i | ||||
\(382\) | −11.0771 | − | 1.95320i | −0.566755 | − | 0.0999342i | ||||
\(383\) | −4.60213 | − | 3.86165i | −0.235158 | − | 0.197321i | 0.517592 | − | 0.855628i | \(-0.326829\pi\) |
−0.752750 | + | 0.658307i | \(0.771273\pi\) | |||||||
\(384\) | 1.47158 | − | 0.913487i | 0.0750962 | − | 0.0466162i | ||||
\(385\) | 19.2148 | − | 6.99361i | 0.979276 | − | 0.356427i | ||||
\(386\) | 10.3664 | + | 12.3541i | 0.527634 | + | 0.628809i | ||||
\(387\) | −27.1300 | + | 25.8899i | −1.37910 | + | 1.31606i | ||||
\(388\) | −0.473613 | − | 0.273441i | −0.0240441 | − | 0.0138818i | ||||
\(389\) | −20.4701 | + | 3.60942i | −1.03787 | + | 0.183005i | −0.666520 | − | 0.745487i | \(-0.732217\pi\) |
−0.371353 | + | 0.928492i | \(0.621106\pi\) | |||||||
\(390\) | 16.6718 | + | 8.92806i | 0.844208 | + | 0.452090i | ||||
\(391\) | −2.56257 | + | 4.43850i | −0.129595 | + | 0.224465i | ||||
\(392\) | −1.51662 | − | 2.62686i | −0.0766009 | − | 0.132677i | ||||
\(393\) | 7.79238 | − | 0.248979i | 0.393074 | − | 0.0125593i | ||||
\(394\) | 7.81913 | + | 21.4829i | 0.393922 | + | 1.08229i | ||||
\(395\) | −24.2072 | − | 8.81072i | −1.21800 | − | 0.443315i | ||||
\(396\) | 6.72395 | + | 3.32900i | 0.337891 | + | 0.167289i | ||||
\(397\) | 1.82838 | − | 10.3692i | 0.0917636 | − | 0.520417i | −0.903928 | − | 0.427686i | \(-0.859329\pi\) |
0.995691 | − | 0.0927316i | \(-0.0295599\pi\) | |||||||
\(398\) | 0.333882 | 0.0167360 | ||||||||
\(399\) | 23.8434 | + | 1.84056i | 1.19366 | + | 0.0921432i | ||||
\(400\) | −1.66255 | −0.0831277 | ||||||||
\(401\) | 1.59795 | − | 9.06241i | 0.0797977 | − | 0.452555i | −0.918561 | − | 0.395280i | \(-0.870648\pi\) |
0.998358 | − | 0.0572753i | \(-0.0182413\pi\) | |||||||
\(402\) | −1.61820 | − | 7.72562i | −0.0807084 | − | 0.385319i | ||||
\(403\) | 31.6336 | + | 11.5137i | 1.57578 | + | 0.573538i | ||||
\(404\) | −4.02439 | − | 11.0569i | −0.200221 | − | 0.550102i | ||||
\(405\) | −21.4344 | − | 8.95729i | −1.06508 | − | 0.445092i | ||||
\(406\) | 12.0612 | + | 20.8905i | 0.598585 | + | 1.03678i | ||||
\(407\) | −5.13285 | + | 8.89036i | −0.254426 | + | 0.440679i | ||||
\(408\) | 1.09830 | − | 2.05091i | 0.0543740 | − | 0.101535i | ||||
\(409\) | 23.2080 | − | 4.09220i | 1.14756 | − | 0.202346i | 0.432651 | − | 0.901561i | \(-0.357578\pi\) |
0.714911 | + | 0.699215i | \(0.246467\pi\) | |||||||
\(410\) | −14.4676 | − | 8.35287i | −0.714504 | − | 0.412519i | ||||
\(411\) | 1.93636 | − | 13.4875i | 0.0955136 | − | 0.665292i | ||||
\(412\) | −5.02879 | − | 5.99308i | −0.247751 | − | 0.295258i | ||||
\(413\) | 26.4545 | − | 9.62865i | 1.30174 | − | 0.473795i | ||||
\(414\) | 11.3769 | + | 1.26404i | 0.559146 | + | 0.0621241i | ||||
\(415\) | −28.1537 | − | 23.6238i | −1.38201 | − | 1.15964i | ||||
\(416\) | 4.16586 | + | 0.734553i | 0.204248 | + | 0.0360144i | ||||
\(417\) | 8.05940 | − | 10.2527i | 0.394670 | − | 0.502079i | ||||
\(418\) | 0.714095 | + | 10.8781i | 0.0349275 | + | 0.532064i | ||||
\(419\) | 20.4238i | 0.997766i | 0.866669 | + | 0.498883i | \(0.166256\pi\) | ||||
−0.866669 | + | 0.498883i | \(0.833744\pi\) | |||||||
\(420\) | −10.5519 | + | 9.44447i | −0.514881 | + | 0.460843i | ||||
\(421\) | −0.259039 | + | 0.308710i | −0.0126248 | + | 0.0150456i | −0.772320 | − | 0.635234i | \(-0.780904\pi\) |
0.759695 | + | 0.650279i | \(0.225348\pi\) | |||||||
\(422\) | 0.877280 | − | 2.41031i | 0.0427053 | − | 0.117332i | ||||
\(423\) | 15.6428 | − | 10.4167i | 0.760577 | − | 0.506478i | ||||
\(424\) | 2.82476 | − | 2.37025i | 0.137182 | − | 0.115110i | ||||
\(425\) | −1.93394 | + | 1.11656i | −0.0938101 | + | 0.0541613i | ||||
\(426\) | 5.88953 | + | 14.7025i | 0.285349 | + | 0.712338i | ||||
\(427\) | 0.0780261 | + | 0.442508i | 0.00377595 | + | 0.0214144i | ||||
\(428\) | −0.982678 | − | 5.57304i | −0.0474995 | − | 0.269383i | ||||
\(429\) | 6.81391 | + | 17.0101i | 0.328979 | + | 0.821255i | ||||
\(430\) | 27.9430 | − | 16.1329i | 1.34753 | − | 0.777997i | ||||
\(431\) | −7.15165 | + | 6.00095i | −0.344483 | + | 0.289055i | −0.798570 | − | 0.601902i | \(-0.794410\pi\) |
0.454087 | + | 0.890957i | \(0.349965\pi\) | |||||||
\(432\) | −5.18006 | − | 0.408571i | −0.249226 | − | 0.0196574i | ||||
\(433\) | −7.03421 | + | 19.3263i | −0.338043 | + | 0.928765i | 0.647907 | + | 0.761720i | \(0.275645\pi\) |
−0.985949 | + | 0.167045i | \(0.946577\pi\) | |||||||
\(434\) | −16.2031 | + | 19.3101i | −0.777774 | + | 0.926915i | ||||
\(435\) | 25.3694 | − | 22.7068i | 1.21637 | − | 1.08871i | ||||
\(436\) | − | 16.5049i | − | 0.790441i | ||||||
\(437\) | 6.70004 | + | 15.2228i | 0.320506 | + | 0.728206i | ||||
\(438\) | 2.34290 | − | 2.98051i | 0.111948 | − | 0.142414i | ||||
\(439\) | −25.2438 | − | 4.45116i | −1.20482 | − | 0.212442i | −0.465040 | − | 0.885290i | \(-0.653960\pi\) |
−0.739781 | + | 0.672847i | \(0.765071\pi\) | |||||||
\(440\) | −4.94519 | − | 4.14951i | −0.235753 | − | 0.197820i | ||||
\(441\) | −1.00484 | + | 9.04407i | −0.0478497 | + | 0.430670i | ||||
\(442\) | 5.33920 | − | 1.94331i | 0.253960 | − | 0.0924339i | ||||
\(443\) | 17.0745 | + | 20.3486i | 0.811235 | + | 0.966792i | 0.999884 | − | 0.0152527i | \(-0.00485526\pi\) |
−0.188649 | + | 0.982045i | \(0.560411\pi\) | |||||||
\(444\) | 1.01033 | − | 7.03737i | 0.0479482 | − | 0.333979i | ||||
\(445\) | 37.2032 | + | 21.4793i | 1.76360 | + | 1.01821i | ||||
\(446\) | 6.57346 | − | 1.15908i | 0.311262 | − | 0.0548839i | ||||
\(447\) | −11.1897 | + | 20.8950i | −0.529254 | + | 0.988300i | ||||
\(448\) | −1.58376 | + | 2.74316i | −0.0748258 | + | 0.129602i | ||||
\(449\) | −5.66925 | − | 9.81944i | −0.267549 | − | 0.463408i | 0.700680 | − | 0.713476i | \(-0.252880\pi\) |
−0.968228 | + | 0.250068i | \(0.919547\pi\) | |||||||
\(450\) | 4.01764 | + | 2.95556i | 0.189394 | + | 0.139326i | ||||
\(451\) | −5.53612 | − | 15.2104i | −0.260686 | − | 0.716229i | ||||
\(452\) | −4.84597 | − | 1.76379i | −0.227935 | − | 0.0829616i | ||||
\(453\) | −3.06672 | − | 14.6412i | −0.144087 | − | 0.687903i | ||||
\(454\) | 3.48246 | − | 19.7500i | 0.163440 | − | 0.926915i | ||||
\(455\) | −34.5855 | −1.62139 | ||||||||
\(456\) | −3.26050 | − | 6.80949i | −0.152687 | − | 0.318884i | ||||
\(457\) | −21.3688 | −0.999591 | −0.499796 | − | 0.866143i | \(-0.666592\pi\) | ||||
−0.499796 | + | 0.866143i | \(0.666592\pi\) | |||||||
\(458\) | 2.86638 | − | 16.2560i | 0.133937 | − | 0.759594i | ||||
\(459\) | −6.30004 | + | 3.00364i | −0.294061 | + | 0.140198i | ||||
\(460\) | −9.25496 | − | 3.36853i | −0.431515 | − | 0.157059i | ||||
\(461\) | 9.40832 | + | 25.8492i | 0.438189 | + | 1.20392i | 0.940669 | + | 0.339326i | \(0.110199\pi\) |
−0.502480 | + | 0.864589i | \(0.667579\pi\) | |||||||
\(462\) | −13.7141 | + | 0.438189i | −0.638039 | + | 0.0203864i | ||||
\(463\) | −4.52654 | − | 7.84019i | −0.210366 | − | 0.364365i | 0.741463 | − | 0.670994i | \(-0.234132\pi\) |
−0.951829 | + | 0.306629i | \(0.900799\pi\) | |||||||
\(464\) | 3.80775 | − | 6.59522i | 0.176770 | − | 0.306175i | ||||
\(465\) | 31.3645 | + | 16.7963i | 1.45450 | + | 0.778911i | ||||
\(466\) | −6.10825 | + | 1.07705i | −0.282959 | + | 0.0498934i | ||||
\(467\) | −17.7092 | − | 10.2244i | −0.819486 | − | 0.473130i | 0.0307535 | − | 0.999527i | \(-0.490209\pi\) |
−0.850239 | + | 0.526397i | \(0.823543\pi\) | |||||||
\(468\) | −8.76117 | − | 9.18082i | −0.404985 | − | 0.424384i | ||||
\(469\) | 9.27865 | + | 11.0579i | 0.428448 | + | 0.510605i | ||||
\(470\) | −15.1949 | + | 5.53049i | −0.700888 | + | 0.255102i | ||||
\(471\) | 5.05488 | − | 3.13783i | 0.232916 | − | 0.144584i | ||||
\(472\) | −6.80843 | − | 5.71295i | −0.313383 | − | 0.262960i | ||||
\(473\) | 30.7880 | + | 5.42876i | 1.41564 | + | 0.249615i | ||||
\(474\) | 13.5901 | + | 10.6828i | 0.624214 | + | 0.490678i | ||||
\(475\) | −0.788217 | + | 7.20391i | −0.0361659 | + | 0.330538i | ||||
\(476\) | 4.25459i | 0.195009i | ||||||||
\(477\) | −11.0398 | + | 0.706200i | −0.505478 | + | 0.0323347i | ||||
\(478\) | −0.370124 | + | 0.441096i | −0.0169291 | + | 0.0201753i | ||||
\(479\) | −3.36367 | + | 9.24160i | −0.153690 | + | 0.422259i | −0.992512 | − | 0.122146i | \(-0.961022\pi\) |
0.838822 | + | 0.544405i | \(0.183245\pi\) | |||||||
\(480\) | 4.24783 | + | 1.39414i | 0.193886 | + | 0.0636337i | ||||
\(481\) | 13.3011 | − | 11.1609i | 0.606477 | − | 0.508895i | ||||
\(482\) | −1.47079 | + | 0.849159i | −0.0669925 | + | 0.0386781i | ||||
\(483\) | −19.4327 | + | 7.78437i | −0.884220 | + | 0.354201i | ||||
\(484\) | 0.823985 | + | 4.67305i | 0.0374539 | + | 0.212411i | ||||
\(485\) | −0.245123 | − | 1.39016i | −0.0111305 | − | 0.0631239i | ||||
\(486\) | 11.7916 | + | 10.1960i | 0.534876 | + | 0.462502i | ||||
\(487\) | −6.75564 | + | 3.90037i | −0.306127 | + | 0.176743i | −0.645192 | − | 0.764020i | \(-0.723223\pi\) |
0.339065 | + | 0.940763i | \(0.389889\pi\) | |||||||
\(488\) | 0.108668 | − | 0.0911835i | 0.00491918 | − | 0.00412768i | ||||
\(489\) | −4.14062 | + | 12.6161i | −0.187245 | + | 0.570519i | ||||
\(490\) | 2.67780 | − | 7.35721i | 0.120971 | − | 0.332365i | ||||
\(491\) | 18.0754 | − | 21.5414i | 0.815729 | − | 0.972148i | −0.184213 | − | 0.982886i | \(-0.558974\pi\) |
0.999942 | + | 0.0107379i | \(0.00341805\pi\) | |||||||
\(492\) | 7.47622 | + | 8.35287i | 0.337054 | + | 0.376577i | ||||
\(493\) | − | 10.2291i | − | 0.460694i | ||||||
\(494\) | 5.15788 | − | 17.7026i | 0.232064 | − | 0.796477i | ||||
\(495\) | 4.57363 | + | 18.8187i | 0.205569 | + | 0.845836i | ||||
\(496\) | 7.83721 | + | 1.38191i | 0.351901 | + | 0.0620497i | ||||
\(497\) | −22.1881 | − | 18.6181i | −0.995274 | − | 0.835134i | ||||
\(498\) | 13.0066 | + | 20.9529i | 0.582839 | + | 0.938922i | ||||
\(499\) | −12.8477 | + | 4.67618i | −0.575142 | + | 0.209334i | −0.613182 | − | 0.789942i | \(-0.710111\pi\) |
0.0380402 | + | 0.999276i | \(0.487888\pi\) | |||||||
\(500\) | 5.53735 | + | 6.59916i | 0.247638 | + | 0.295123i | ||||
\(501\) | 4.02173 | + | 0.577385i | 0.179677 | + | 0.0257957i | ||||
\(502\) | −5.19486 | − | 2.99925i | −0.231858 | − | 0.133863i | ||||
\(503\) | −25.8762 | + | 4.56267i | −1.15376 | + | 0.203439i | −0.717618 | − | 0.696437i | \(-0.754767\pi\) |
−0.436144 | + | 0.899877i | \(0.643656\pi\) | |||||||
\(504\) | 8.70382 | − | 3.81349i | 0.387699 | − | 0.169866i | ||||
\(505\) | 15.1858 | − | 26.3026i | 0.675761 | − | 1.17045i | ||||
\(506\) | −4.77142 | − | 8.26433i | −0.212115 | − | 0.367394i | ||||
\(507\) | −0.270702 | − | 8.47225i | −0.0120223 | − | 0.376266i | ||||
\(508\) | −2.68037 | − | 7.36426i | −0.118922 | − | 0.326736i | ||||
\(509\) | −25.0043 | − | 9.10082i | −1.10830 | − | 0.403387i | −0.277928 | − | 0.960602i | \(-0.589648\pi\) |
−0.830368 | + | 0.557215i | \(0.811870\pi\) | |||||||
\(510\) | 5.87753 | − | 1.23110i | 0.260261 | − | 0.0545140i | ||||
\(511\) | −1.20392 | + | 6.82777i | −0.0532583 | + | 0.302043i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −4.22622 | + | 22.2517i | −0.186592 | + | 0.982437i | ||||
\(514\) | 18.6091 | 0.820813 | ||||||||
\(515\) | 3.50661 | − | 19.8869i | 0.154520 | − | 0.876324i | ||||
\(516\) | −21.1913 | + | 4.43871i | −0.932897 | + | 0.195403i | ||||
\(517\) | −14.7226 | − | 5.35860i | −0.647501 | − | 0.235671i | ||||
\(518\) | 4.44685 | + | 12.2176i | 0.195383 | + | 0.536811i | ||||
\(519\) | 0.825191 | + | 25.8263i | 0.0362219 | + | 1.13365i | ||||
\(520\) | 5.45938 | + | 9.45593i | 0.239410 | + | 0.414670i | ||||
\(521\) | −10.2977 | + | 17.8362i | −0.451151 | + | 0.781417i | −0.998458 | − | 0.0555154i | \(-0.982320\pi\) |
0.547307 | + | 0.836932i | \(0.315653\pi\) | |||||||
\(522\) | −20.9261 | + | 9.16855i | −0.915909 | + | 0.401296i | ||||
\(523\) | 7.47024 | − | 1.31720i | 0.326651 | − | 0.0575973i | −0.00791816 | − | 0.999969i | \(-0.502520\pi\) |
0.334569 | + | 0.942371i | \(0.391409\pi\) | |||||||
\(524\) | 3.89818 | + | 2.25062i | 0.170293 | + | 0.0983186i | ||||
\(525\) | −9.02874 | − | 1.29622i | −0.394046 | − | 0.0565719i | ||||
\(526\) | 1.37946 | + | 1.64398i | 0.0601475 | + | 0.0716810i | ||||
\(527\) | 10.0446 | − | 3.65594i | 0.437550 | − | 0.159255i | ||||
\(528\) | 2.28460 | + | 3.68037i | 0.0994246 | + | 0.160168i | ||||
\(529\) | 6.46604 | + | 5.42566i | 0.281132 | + | 0.235898i | ||||
\(530\) | 9.37344 | + | 1.65279i | 0.407156 | + | 0.0717926i | ||||
\(531\) | 6.29687 | + | 25.9091i | 0.273261 | + | 1.12436i | ||||
\(532\) | 11.1354 | + | 8.16305i | 0.482779 | + | 0.353913i | ||||
\(533\) | 27.3778i | 1.18586i | ||||||||
\(534\) | −19.2250 | − | 21.4793i | −0.831946 | − | 0.929498i | ||||
\(535\) | 9.38920 | − | 11.1896i | 0.405931 | − | 0.483769i | ||||
\(536\) | 1.55865 | − | 4.28235i | 0.0673234 | − | 0.184970i | ||||
\(537\) | 0.105287 | − | 0.320799i | 0.00454345 | − | 0.0138435i | ||||
\(538\) | 19.9247 | − | 16.7188i | 0.859015 | − | 0.720799i | ||||
\(539\) | 6.56971 | − | 3.79302i | 0.282977 | − | 0.163377i | ||||
\(540\) | −7.78668 | − | 10.9205i | −0.335085 | − | 0.469942i | ||||
\(541\) | 7.39225 | + | 41.9235i | 0.317818 | + | 1.80243i | 0.555966 | + | 0.831205i | \(0.312349\pi\) |
−0.238148 | + | 0.971229i | \(0.576540\pi\) | |||||||
\(542\) | −0.855325 | − | 4.85079i | −0.0367394 | − | 0.208359i | ||||
\(543\) | 11.4368 | − | 4.58137i | 0.490802 | − | 0.196605i | ||||
\(544\) | 1.16324 | − | 0.671595i | 0.0498734 | − | 0.0287944i | ||||
\(545\) | 32.6353 | − | 27.3842i | 1.39794 | − | 1.17301i | ||||
\(546\) | 22.0506 | + | 7.23704i | 0.943678 | + | 0.309717i | ||||
\(547\) | −0.418676 | + | 1.15030i | −0.0179013 | + | 0.0491833i | −0.948321 | − | 0.317311i | \(-0.897220\pi\) |
0.930420 | + | 0.366495i | \(0.119442\pi\) | |||||||
\(548\) | 5.05673 | − | 6.02638i | 0.216013 | − | 0.257434i | ||||
\(549\) | −0.424701 | + | 0.0271675i | −0.0181258 | + | 0.00115948i | ||||
\(550\) | − | 4.15800i | − | 0.177298i | ||||||
\(551\) | −26.7721 | − | 19.6259i | −1.14053 | − | 0.836093i | ||||
\(552\) | 5.19579 | + | 4.08427i | 0.221148 | + | 0.173838i | ||||
\(553\) | −31.1323 | − | 5.48946i | −1.32388 | − | 0.233436i | ||||
\(554\) | 1.29599 | + | 1.08747i | 0.0550615 | + | 0.0462021i | ||||
\(555\) | 15.5914 | − | 9.67838i | 0.661816 | − | 0.410824i | ||||
\(556\) | 7.07526 | − | 2.57518i | 0.300058 | − | 0.109212i | ||||
\(557\) | −13.8808 | − | 16.5425i | −0.588147 | − | 0.700927i | 0.387101 | − | 0.922037i | \(-0.373476\pi\) |
−0.975249 | + | 0.221110i | \(0.929032\pi\) | |||||||
\(558\) | −16.4824 | − | 17.2718i | −0.697754 | − | 0.731175i | ||||
\(559\) | −45.7937 | − | 26.4390i | −1.93687 | − | 1.11825i | ||||
\(560\) | −8.05179 | + | 1.41975i | −0.340250 | + | 0.0599953i | ||||
\(561\) | 5.12926 | + | 2.74682i | 0.216557 | + | 0.115971i | ||||
\(562\) | −14.9153 | + | 25.8341i | −0.629166 | + | 1.08975i | ||||
\(563\) | −13.0149 | − | 22.5424i | −0.548512 | − | 0.950051i | −0.998377 | − | 0.0569541i | \(-0.981861\pi\) |
0.449865 | − | 0.893097i | \(-0.351472\pi\) | |||||||
\(564\) | 10.8450 | − | 0.346516i | 0.456658 | − | 0.0145909i | ||||
\(565\) | −4.55268 | − | 12.5084i | −0.191533 | − | 0.526231i | ||||
\(566\) | −22.1991 | − | 8.07982i | −0.933099 | − | 0.339620i | ||||
\(567\) | −27.8125 | − | 6.25748i | −1.16802 | − | 0.262789i | ||||
\(568\) | −1.58788 | + | 9.00529i | −0.0666258 | + | 0.377854i | ||||
\(569\) | −4.80544 | −0.201455 | −0.100727 | − | 0.994914i | \(-0.532117\pi\) | ||||
−0.100727 | + | 0.994914i | \(0.532117\pi\) | |||||||
\(570\) | 8.05478 | − | 17.7450i | 0.337377 | − | 0.743258i | ||||
\(571\) | −46.6475 | −1.95214 | −0.976068 | − | 0.217466i | \(-0.930221\pi\) | ||||
−0.976068 | + | 0.217466i | \(0.930221\pi\) | |||||||
\(572\) | −1.83710 | + | 10.4187i | −0.0768129 | + | 0.435628i | ||||
\(573\) | 3.99403 | + | 19.0683i | 0.166853 | + | 0.796591i | ||||
\(574\) | −19.2642 | − | 7.01161i | −0.804074 | − | 0.292659i | ||||
\(575\) | −2.16968 | − | 5.96115i | −0.0904820 | − | 0.248597i | ||||
\(576\) | −2.41655 | − | 1.77772i | −0.100690 | − | 0.0740717i | ||||
\(577\) | 23.3103 | + | 40.3745i | 0.970418 | + | 1.68081i | 0.694293 | + | 0.719692i | \(0.255717\pi\) |
0.276125 | + | 0.961122i | \(0.410950\pi\) | |||||||
\(578\) | −7.59792 | + | 13.1600i | −0.316032 | + | 0.547383i | ||||
\(579\) | 13.1869 | − | 24.6245i | 0.548028 | − | 1.02336i | ||||
\(580\) | 19.3584 | − | 3.41342i | 0.803816 | − | 0.141734i | ||||
\(581\) | −39.0582 | − | 22.5503i | −1.62041 | − | 0.935543i | ||||
\(582\) | −0.134610 | + | 0.937613i | −0.00557976 | + | 0.0388653i | ||||
\(583\) | 5.92793 | + | 7.06463i | 0.245510 | + | 0.292587i | ||||
\(584\) | 2.05680 | − | 0.748615i | 0.0851112 | − | 0.0309779i | ||||
\(585\) | 3.61714 | − | 32.5560i | 0.149550 | − | 1.34602i | ||||
\(586\) | −7.10127 | − | 5.95867i | −0.293351 | − | 0.246150i | ||||
\(587\) | −14.9298 | − | 2.63253i | −0.616220 | − | 0.108656i | −0.143180 | − | 0.989697i | \(-0.545733\pi\) |
−0.473041 | + | 0.881040i | \(0.656844\pi\) | |||||||
\(588\) | −3.24678 | + | 4.13038i | −0.133895 | + | 0.170334i | ||||
\(589\) | 9.70350 | − | 33.3038i | 0.399826 | − | 1.37226i | ||||
\(590\) | − | 22.9411i | − | 0.944469i | ||||||
\(591\) | 29.5051 | − | 26.4085i | 1.21368 | − | 1.08630i | ||||
\(592\) | 2.63844 | − | 3.14437i | 0.108439 | − | 0.129233i | ||||
\(593\) | 0.398860 | − | 1.09586i | 0.0163792 | − | 0.0450015i | −0.931234 | − | 0.364423i | \(-0.881266\pi\) |
0.947613 | + | 0.319421i | \(0.103489\pi\) | |||||||
\(594\) | 1.02182 | − | 12.9552i | 0.0419259 | − | 0.531558i | ||||
\(595\) | −8.41264 | + | 7.05905i | −0.344885 | + | 0.289393i | ||||
\(596\) | −11.8513 | + | 6.84233i | −0.485447 | + | 0.280273i | ||||
\(597\) | −0.215044 | − | 0.536831i | −0.00880116 | − | 0.0219710i | ||||
\(598\) | 2.80280 | + | 15.8955i | 0.114615 | + | 0.650014i | ||||
\(599\) | 4.45202 | + | 25.2486i | 0.181905 | + | 1.03163i | 0.929868 | + | 0.367892i | \(0.119921\pi\) |
−0.747964 | + | 0.663739i | \(0.768968\pi\) | |||||||
\(600\) | 1.07080 | + | 2.67313i | 0.0437154 | + | 0.109130i | ||||
\(601\) | −26.4639 | + | 15.2789i | −1.07948 | + | 0.623240i | −0.930757 | − | 0.365639i | \(-0.880851\pi\) |
−0.148726 | + | 0.988878i | \(0.547517\pi\) | |||||||
\(602\) | 30.3317 | − | 25.4513i | 1.23623 | − | 1.03732i | ||||
\(603\) | −11.3794 | + | 7.57767i | −0.463404 | + | 0.308587i | ||||
\(604\) | 2.95387 | − | 8.11568i | 0.120191 | − | 0.330222i | ||||
\(605\) | −7.87294 | + | 9.38261i | −0.320081 | + | 0.381457i | ||||
\(606\) | −15.1858 | + | 13.5921i | −0.616882 | + | 0.552139i | ||||
\(607\) | − | 7.82667i | − | 0.317675i | −0.987305 | − | 0.158837i | \(-0.949225\pi\) | ||
0.987305 | − | 0.158837i | \(-0.0507745\pi\) | |||||||
\(608\) | 0.474100 | − | 4.33304i | 0.0192273 | − | 0.175728i | ||||
\(609\) | 25.8205 | − | 32.8475i | 1.04630 | − | 1.33105i | ||||
\(610\) | 0.360596 | + | 0.0635828i | 0.0146001 | + | 0.00257439i | ||||
\(611\) | 20.3001 | + | 17.0338i | 0.821254 | + | 0.689114i | ||||
\(612\) | −4.00493 | − | 0.444968i | −0.161890 | − | 0.0179868i | ||||
\(613\) | 30.3824 | − | 11.0583i | 1.22713 | − | 0.446640i | 0.354519 | − | 0.935049i | \(-0.384645\pi\) |
0.872615 | + | 0.488408i | \(0.162422\pi\) | |||||||
\(614\) | −1.76414 | − | 2.10242i | −0.0711948 | − | 0.0848466i | ||||
\(615\) | −4.11197 | + | 28.6415i | −0.165810 | + | 1.15494i | ||||
\(616\) | −6.86057 | − | 3.96095i | −0.276420 | − | 0.159591i | ||||
\(617\) | 24.5040 | − | 4.32072i | 0.986495 | − | 0.173946i | 0.342950 | − | 0.939354i | \(-0.388574\pi\) |
0.643545 | + | 0.765408i | \(0.277463\pi\) | |||||||
\(618\) | −6.39705 | + | 11.9455i | −0.257327 | + | 0.480519i | ||||
\(619\) | −3.60285 | + | 6.24032i | −0.144811 | + | 0.250820i | −0.929302 | − | 0.369320i | \(-0.879591\pi\) |
0.784492 | + | 0.620140i | \(0.212924\pi\) | |||||||
\(620\) | 10.2707 | + | 17.7894i | 0.412482 | + | 0.714439i | ||||
\(621\) | −5.29519 | − | 19.1065i | −0.212489 | − | 0.766718i | ||||
\(622\) | −7.83109 | − | 21.5157i | −0.313998 | − | 0.862702i | ||||
\(623\) | 49.5376 | + | 18.0302i | 1.98468 | + | 0.722366i | ||||
\(624\) | −1.50206 | − | 7.17117i | −0.0601307 | − | 0.287077i | ||||
\(625\) | −5.30472 | + | 30.0846i | −0.212189 | + | 1.20338i | ||||
\(626\) | −13.4317 | −0.536841 | ||||||||
\(627\) | 17.0303 | − | 8.15441i | 0.680126 | − | 0.325656i | ||||
\(628\) | 3.43500 | 0.137072 | ||||||||
\(629\) | 0.957388 | − | 5.42961i | 0.0381735 | − | 0.216493i | ||||
\(630\) | 21.9815 | + | 10.8829i | 0.875762 | + | 0.433587i | ||||
\(631\) | 23.7099 | + | 8.62969i | 0.943876 | + | 0.343543i | 0.767695 | − | 0.640815i | \(-0.221404\pi\) |
0.176180 | + | 0.984358i | \(0.443626\pi\) | |||||||
\(632\) | 3.41343 | + | 9.37832i | 0.135779 | + | 0.373049i | ||||
\(633\) | −4.44044 | + | 0.141879i | −0.176492 | + | 0.00563919i | ||||
\(634\) | −10.3856 | − | 17.9884i | −0.412465 | − | 0.714411i | ||||
\(635\) | 10.1142 | − | 17.5184i | 0.401372 | − | 0.695196i | ||||
\(636\) | −5.63035 | − | 3.01516i | −0.223258 | − | 0.119559i | ||||
\(637\) | −12.6361 | + | 2.22808i | −0.500659 | + | 0.0882796i | ||||
\(638\) | 16.4945 | + | 9.52308i | 0.653022 | + | 0.377022i | ||||
\(639\) | 19.8461 | − | 18.9389i | 0.785099 | − | 0.749212i | ||||
\(640\) | 1.65916 | + | 1.97731i | 0.0655840 | + | 0.0781600i | ||||
\(641\) | −8.36361 | + | 3.04411i | −0.330343 | + | 0.120235i | −0.501867 | − | 0.864945i | \(-0.667353\pi\) |
0.171524 | + | 0.985180i | \(0.445131\pi\) | |||||||
\(642\) | −8.32768 | + | 5.16943i | −0.328667 | + | 0.204021i | ||||
\(643\) | 5.41716 | + | 4.54553i | 0.213632 | + | 0.179258i | 0.743324 | − | 0.668932i | \(-0.233248\pi\) |
−0.529692 | + | 0.848190i | \(0.677693\pi\) | |||||||
\(644\) | −11.9026 | − | 2.09874i | −0.469027 | − | 0.0827021i | ||||
\(645\) | −43.9365 | − | 34.5373i | −1.73000 | − | 1.35990i | ||||
\(646\) | −2.35856 | − | 5.35875i | −0.0927962 | − | 0.210837i | ||||
\(647\) | 7.87198i | 0.309479i | 0.987955 | + | 0.154740i | \(0.0494539\pi\) | ||||
−0.987955 | + | 0.154740i | \(0.950546\pi\) | |||||||
\(648\) | 2.67942 | + | 8.59190i | 0.105257 | + | 0.337522i | ||||
\(649\) | 14.2879 | − | 17.0277i | 0.560850 | − | 0.668395i | ||||
\(650\) | −2.40536 | + | 6.60868i | −0.0943461 | + | 0.259214i | ||||
\(651\) | 41.4837 | + | 13.6150i | 1.62587 | + | 0.533614i | ||||
\(652\) | −5.87262 | + | 4.92772i | −0.229990 | + | 0.192984i | ||||
\(653\) | −1.40402 | + | 0.810613i | −0.0549437 | + | 0.0317217i | −0.527220 | − | 0.849729i | \(-0.676766\pi\) |
0.472277 | + | 0.881450i | \(0.343432\pi\) | |||||||
\(654\) | −26.5373 | + | 10.6303i | −1.03769 | + | 0.415679i | ||||
\(655\) | 2.01754 | + | 11.4420i | 0.0788318 | + | 0.447077i | ||||
\(656\) | 1.12387 | + | 6.37378i | 0.0438797 | + | 0.248854i | ||||
\(657\) | −6.30120 | − | 1.84736i | −0.245833 | − | 0.0720723i | ||||
\(658\) | −17.1847 | + | 9.92160i | −0.669930 | + | 0.386784i | ||||
\(659\) | −9.29693 | + | 7.80105i | −0.362157 | + | 0.303886i | −0.805650 | − | 0.592392i | \(-0.798184\pi\) |
0.443493 | + | 0.896278i | \(0.353739\pi\) | |||||||
\(660\) | −3.48672 | + | 10.6237i | −0.135720 | + | 0.413527i | ||||
\(661\) | −10.0965 | + | 27.7400i | −0.392710 | + | 1.07896i | 0.573050 | + | 0.819521i | \(0.305760\pi\) |
−0.965759 | + | 0.259440i | \(0.916462\pi\) | |||||||
\(662\) | 5.78451 | − | 6.89371i | 0.224821 | − | 0.267932i | ||||
\(663\) | −6.56338 | − | 7.33299i | −0.254900 | − | 0.284790i | ||||
\(664\) | 14.2384i | 0.552557i | ||||||||
\(665\) | 2.33447 | + | 35.5618i | 0.0905268 | + | 1.37903i | ||||
\(666\) | −11.9657 | + | 2.90812i | −0.463663 | + | 0.112687i | ||||
\(667\) | 28.6166 | + | 5.04588i | 1.10804 | + | 0.195377i | ||||
\(668\) | 1.79695 | + | 1.50782i | 0.0695261 | + | 0.0583393i | ||||
\(669\) | −6.09740 | − | 9.82258i | −0.235739 | − | 0.379763i | ||||
\(670\) | 11.0536 | − | 4.02317i | 0.427037 | − | 0.155429i | ||||
\(671\) | 0.228047 | + | 0.271776i | 0.00880367 | + | 0.0104918i | ||||
\(672\) | 5.43064 | + | 0.779658i | 0.209491 | + | 0.0300760i | ||||
\(673\) | −3.84411 | − | 2.21940i | −0.148180 | − | 0.0855516i | 0.424077 | − | 0.905626i | \(-0.360599\pi\) |
−0.572257 | + | 0.820075i | \(0.693932\pi\) | |||||||
\(674\) | 12.6410 | − | 2.22895i | 0.486913 | − | 0.0858559i | ||||
\(675\) | 2.16443 | − | 8.36335i | 0.0833091 | − | 0.321905i | ||||
\(676\) | 2.44698 | − | 4.23829i | 0.0941145 | − | 0.163011i | ||||
\(677\) | 0.610403 | + | 1.05725i | 0.0234597 | + | 0.0406334i | 0.877517 | − | 0.479546i | \(-0.159199\pi\) |
−0.854057 | + | 0.520179i | \(0.825865\pi\) | |||||||
\(678\) | 0.285251 | + | 8.92758i | 0.0109550 | + | 0.342862i | ||||
\(679\) | −0.592469 | − | 1.62779i | −0.0227369 | − | 0.0624690i | ||||
\(680\) | 3.25794 | + | 1.18579i | 0.124936 | + | 0.0454732i | ||||
\(681\) | −33.9980 | + | 7.12117i | −1.30281 | + | 0.272884i | ||||
\(682\) | −3.45612 | + | 19.6006i | −0.132342 | + | 0.750547i | ||||
\(683\) | 40.7336 | 1.55863 | 0.779313 | − | 0.626635i | \(-0.215568\pi\) | ||||
0.779313 | + | 0.626635i | \(0.215568\pi\) | |||||||
\(684\) | −8.84862 | + | 9.62818i | −0.338335 | + | 0.368143i | ||||
\(685\) | 20.3059 | 0.775850 | ||||||||
\(686\) | −2.18186 | + | 12.3739i | −0.0833038 | + | 0.472439i | ||||
\(687\) | −27.9834 | + | 5.86136i | −1.06763 | + | 0.223625i | ||||
\(688\) | −11.7465 | − | 4.27537i | −0.447830 | − | 0.162997i | ||||
\(689\) | −5.33497 | − | 14.6577i | −0.203246 | − | 0.558414i | ||||
\(690\) | 0.544779 | + | 17.0501i | 0.0207394 | + | 0.649088i | ||||
\(691\) | 18.9023 | + | 32.7397i | 0.719077 | + | 1.24548i | 0.961366 | + | 0.275274i | \(0.0887686\pi\) |
−0.242289 | + | 0.970204i | \(0.577898\pi\) | |||||||
\(692\) | −7.45921 | + | 12.9197i | −0.283557 | + | 0.491135i | ||||
\(693\) | 9.53743 | + | 21.7680i | 0.362297 | + | 0.826898i | ||||
\(694\) | 13.6351 | − | 2.40423i | 0.517580 | − | 0.0912633i | ||||
\(695\) | 16.8309 | + | 9.71733i | 0.638433 | + | 0.368599i | ||||
\(696\) | −13.0566 | − | 1.87449i | −0.494908 | − | 0.0710522i | ||||
\(697\) | 5.58792 | + | 6.65943i | 0.211658 | + | 0.252244i | ||||
\(698\) | −19.3873 | + | 7.05640i | −0.733820 | + | 0.267088i | ||||
\(699\) | 5.66589 | + | 9.12744i | 0.214304 | + | 0.345231i | ||||
\(700\) | −4.03414 | − | 3.38504i | −0.152476 | − | 0.127943i | ||||
\(701\) | 23.1182 | + | 4.07636i | 0.873162 | + | 0.153962i | 0.592233 | − | 0.805767i | \(-0.298246\pi\) |
0.280929 | + | 0.959729i | \(0.409358\pi\) | |||||||
\(702\) | −9.11853 | + | 19.9997i | −0.344157 | + | 0.754841i | ||||
\(703\) | −12.3738 | − | 12.9232i | −0.466687 | − | 0.487408i | ||||
\(704\) | 2.50097i | 0.0942589i | ||||||||
\(705\) | 18.6788 | + | 20.8690i | 0.703483 | + | 0.785973i | ||||
\(706\) | 14.6560 | − | 17.4664i | 0.551587 | − | 0.657356i | ||||
\(707\) | 12.7474 | − | 35.0231i | 0.479414 | − | 1.31718i | ||||
\(708\) | −4.80043 | + | 14.6265i | −0.180411 | + | 0.549696i | ||||
\(709\) | 21.3882 | − | 17.9469i | 0.803252 | − | 0.674009i | −0.145735 | − | 0.989324i | \(-0.546555\pi\) |
0.948987 | + | 0.315315i | \(0.102110\pi\) | |||||||
\(710\) | −20.4408 | + | 11.8015i | −0.767128 | + | 0.442902i | ||||
\(711\) | 8.42332 | − | 28.7313i | 0.315899 | − | 1.07751i | ||||
\(712\) | −2.89001 | − | 16.3901i | −0.108308 | − | 0.614243i | ||||
\(713\) | 5.27289 | + | 29.9041i | 0.197471 | + | 1.11992i | ||||
\(714\) | 6.84074 | − | 2.74026i | 0.256008 | − | 0.102552i | ||||
\(715\) | −23.6490 | + | 13.6538i | −0.884423 | + | 0.510622i | ||||
\(716\) | 0.149328 | − | 0.125301i | 0.00558063 | − | 0.00468271i | ||||
\(717\) | 0.947601 | + | 0.311004i | 0.0353888 | + | 0.0116147i | ||||
\(718\) | 2.53893 | − | 6.97566i | 0.0947521 | − | 0.260329i | ||||
\(719\) | −26.4940 | + | 31.5743i | −0.988060 | + | 1.17752i | −0.00394505 | + | 0.999992i | \(0.501256\pi\) |
−0.984115 | + | 0.177532i | \(0.943189\pi\) | |||||||
\(720\) | −0.494335 | − | 7.72778i | −0.0184228 | − | 0.287997i | ||||
\(721\) | − | 24.7809i | − | 0.922889i | ||||||
\(722\) | −18.5505 | − | 4.10859i | −0.690377 | − | 0.152906i | ||||
\(723\) | 2.31261 | + | 1.81788i | 0.0860069 | + | 0.0676077i | ||||
\(724\) | 7.00507 | + | 1.23518i | 0.260341 | + | 0.0459052i | ||||
\(725\) | 9.69903 | + | 8.13846i | 0.360213 | + | 0.302255i | ||||
\(726\) | 6.98285 | − | 4.33462i | 0.259158 | − | 0.160873i | ||||
\(727\) | 4.13772 | − | 1.50601i | 0.153460 | − | 0.0558548i | −0.264148 | − | 0.964482i | \(-0.585091\pi\) |
0.417608 | + | 0.908627i | \(0.362869\pi\) | |||||||
\(728\) | 8.61274 | + | 10.2643i | 0.319209 | + | 0.380419i | ||||
\(729\) | 8.79906 | − | 25.5260i | 0.325891 | − | 0.945407i | ||||
\(730\) | 4.89281 | + | 2.82486i | 0.181091 | + | 0.104553i | ||||
\(731\) | −16.5352 | + | 2.91561i | −0.611578 | + | 0.107838i | ||||
\(732\) | −0.216599 | − | 0.115993i | −0.00800574 | − | 0.00428723i | ||||
\(733\) | 11.3991 | − | 19.7438i | 0.421034 | − | 0.729253i | −0.575007 | − | 0.818149i | \(-0.695001\pi\) |
0.996041 | + | 0.0888960i | \(0.0283339\pi\) | |||||||
\(734\) | 9.92532 | + | 17.1912i | 0.366350 | + | 0.634537i | ||||
\(735\) | −13.5540 | + | 0.433071i | −0.499945 | + | 0.0159741i | ||||
\(736\) | 1.30503 | + | 3.58554i | 0.0481040 | + | 0.132165i | ||||
\(737\) | 10.7100 | + | 3.89814i | 0.394510 | + | 0.143590i | ||||
\(738\) | 8.61491 | − | 17.4005i | 0.317119 | − | 0.640520i | ||||
\(739\) | −8.91510 | + | 50.5600i | −0.327947 | + | 1.85988i | 0.160151 | + | 0.987093i | \(0.448802\pi\) |
−0.488098 | + | 0.872789i | \(0.662309\pi\) | |||||||
\(740\) | 10.5950 | 0.389479 | ||||||||
\(741\) | −31.7851 | + | 3.10865i | −1.16765 | + | 0.114199i | ||||
\(742\) | 11.6801 | 0.428791 | ||||||||
\(743\) | −0.154876 | + | 0.878343i | −0.00568183 | + | 0.0322233i | −0.987517 | − | 0.157513i | \(-0.949652\pi\) |
0.981835 | + | 0.189737i | \(0.0607634\pi\) | |||||||
\(744\) | −2.82583 | − | 13.4911i | −0.103600 | − | 0.494607i | ||||
\(745\) | −33.1925 | − | 12.0811i | −1.21608 | − | 0.442617i | ||||
\(746\) | −6.52210 | − | 17.9193i | −0.238791 | − | 0.656073i | ||||
\(747\) | 25.3119 | − | 34.4078i | 0.926114 | − | 1.25891i | ||||
\(748\) | 1.67964 | + | 2.90922i | 0.0614137 | + | 0.106372i | ||||
\(749\) | 8.96255 | − | 15.5236i | 0.327484 | − | 0.567220i | ||||
\(750\) | 7.04398 | − | 13.1535i | 0.257210 | − | 0.480300i | ||||
\(751\) | −10.0009 | + | 1.76342i | −0.364936 | + | 0.0643481i | −0.353110 | − | 0.935582i | \(-0.614876\pi\) |
−0.0118266 | + | 0.999930i | \(0.503765\pi\) | |||||||
\(752\) | 5.42528 | + | 3.13228i | 0.197839 | + | 0.114223i | ||||
\(753\) | −1.47648 | + | 10.2843i | −0.0538058 | + | 0.374780i | ||||
\(754\) | −20.7071 | − | 24.6778i | −0.754108 | − | 0.898711i | ||||
\(755\) | 20.9481 | − | 7.62450i | 0.762381 | − | 0.277484i | ||||
\(756\) | −11.7374 | − | 11.5382i | −0.426885 | − | 0.419642i | ||||
\(757\) | 16.0181 | + | 13.4408i | 0.582187 | + | 0.488513i | 0.885664 | − | 0.464326i | \(-0.153703\pi\) |
−0.303478 | + | 0.952839i | \(0.598148\pi\) | |||||||
\(758\) | 29.6323 | + | 5.22497i | 1.07629 | + | 0.189780i | ||||
\(759\) | −10.2146 | + | 12.9945i | −0.370768 | + | 0.471672i | ||||
\(760\) | 9.35436 | − | 6.25176i | 0.339318 | − | 0.226775i | ||||
\(761\) | − | 23.9282i | − | 0.867396i | −0.901058 | − | 0.433698i | \(-0.857209\pi\) | ||
0.901058 | − | 0.433698i | \(-0.142791\pi\) | |||||||
\(762\) | −10.1142 | + | 9.05274i | −0.366401 | + | 0.327946i | ||||
\(763\) | 33.6048 | − | 40.0486i | 1.21657 | − | 1.44986i | ||||
\(764\) | −3.84705 | + | 10.5697i | −0.139181 | + | 0.382397i | ||||
\(765\) | −5.76497 | − | 8.65725i | −0.208433 | − | 0.313003i | ||||
\(766\) | −4.60213 | + | 3.86165i | −0.166282 | + | 0.139527i | ||||
\(767\) | −32.5594 | + | 18.7982i | −1.17565 | + | 0.678764i | ||||
\(768\) | −0.644072 | − | 1.60785i | −0.0232409 | − | 0.0580182i | ||||
\(769\) | −3.21910 | − | 18.2564i | −0.116084 | − | 0.658344i | −0.986208 | − | 0.165511i | \(-0.947073\pi\) |
0.870124 | − | 0.492833i | \(-0.164039\pi\) | |||||||
\(770\) | −3.55075 | − | 20.1373i | −0.127960 | − | 0.725698i | ||||
\(771\) | −11.9856 | − | 29.9206i | −0.431651 | − | 1.07756i | ||||
\(772\) | 13.9666 | − | 8.06359i | 0.502667 | − | 0.290215i | ||||
\(773\) | −27.0855 | + | 22.7275i | −0.974199 | + | 0.817450i | −0.983204 | − | 0.182509i | \(-0.941578\pi\) |
0.00900488 | + | 0.999959i | \(0.497134\pi\) | |||||||
\(774\) | 20.7855 | + | 31.2136i | 0.747120 | + | 1.12195i | ||||
\(775\) | −4.52520 | + | 12.4329i | −0.162550 | + | 0.446602i | ||||
\(776\) | −0.351528 | + | 0.418935i | −0.0126191 | + | 0.0150389i | ||||
\(777\) | 16.7800 | − | 15.0189i | 0.601978 | − | 0.538799i | ||||
\(778\) | 20.7858i | 0.745209i | ||||||||
\(779\) | 28.1507 | − | 1.84796i | 1.00860 | − | 0.0662100i | ||||
\(780\) | 11.6874 | − | 14.8681i | 0.418478 | − | 0.532365i | ||||
\(781\) | −22.5220 | − | 3.97123i | −0.805900 | − | 0.142102i | ||||
\(782\) | 3.92609 | + | 3.29438i | 0.140397 | + | 0.117807i | ||||
\(783\) | 28.2195 | + | 27.7407i | 1.00848 | + | 0.991372i | ||||
\(784\) | −2.85031 | + | 1.03743i | −0.101797 | + | 0.0370510i | ||||
\(785\) | 5.69922 | + | 6.79206i | 0.203414 | + | 0.242419i | ||||
\(786\) | 1.10794 | − | 7.71723i | 0.0395188 | − | 0.275265i | ||||
\(787\) | 6.19829 | + | 3.57858i | 0.220945 | + | 0.127563i | 0.606388 | − | 0.795169i | \(-0.292618\pi\) |
−0.385443 | + | 0.922732i | \(0.625951\pi\) | |||||||
\(788\) | 22.5143 | − | 3.96988i | 0.802039 | − | 0.141421i | ||||
\(789\) | 1.75480 | − | 3.27681i | 0.0624724 | − | 0.116658i | ||||
\(790\) | −12.8804 | + | 22.3095i | −0.458264 | + | 0.793737i | ||||
\(791\) | −8.16743 | − | 14.1464i | −0.290400 | − | 0.502988i | ||||
\(792\) | 4.44603 | − | 6.04372i | 0.157983 | − | 0.214754i | ||||
\(793\) | −0.205236 | − | 0.563881i | −0.00728815 | − | 0.0200240i | ||||
\(794\) | −9.89421 | − | 3.60120i | −0.351133 | − | 0.127802i | ||||
\(795\) | −3.37973 | − | 16.1356i | −0.119867 | − | 0.572270i | ||||
\(796\) | 0.0579780 | − | 0.328809i | 0.00205497 | − | 0.0116543i | ||||
\(797\) | −13.5711 | −0.480714 | −0.240357 | − | 0.970685i | \(-0.577265\pi\) | ||||
−0.240357 | + | 0.970685i | \(0.577265\pi\) | |||||||
\(798\) | 5.95296 | − | 23.1615i | 0.210732 | − | 0.819910i | ||||
\(799\) | 8.41451 | 0.297684 | ||||||||
\(800\) | −0.288700 | + | 1.63730i | −0.0102071 | + | 0.0578872i | ||||
\(801\) | −22.1531 | + | 44.7450i | −0.782741 | + | 1.58099i | ||||
\(802\) | −8.64725 | − | 3.14734i | −0.305345 | − | 0.111136i | ||||
\(803\) | 1.87227 | + | 5.14401i | 0.0660708 | + | 0.181528i | ||||
\(804\) | −7.88925 | + | 0.252074i | −0.278232 | + | 0.00888997i | ||||
\(805\) | −15.5984 | − | 27.0172i | −0.549771 | − | 0.952231i | ||||
\(806\) | 16.8319 | − | 29.1537i | 0.592879 | − | 1.02690i | ||||
\(807\) | −39.7142 | − | 21.2678i | −1.39801 | − | 0.748660i | ||||
\(808\) | −11.5878 | + | 2.04324i | −0.407656 | + | 0.0718808i | ||||
\(809\) | −7.06352 | − | 4.07812i | −0.248340 | − | 0.143379i | 0.370664 | − | 0.928767i | \(-0.379130\pi\) |
−0.619004 | + | 0.785388i | \(0.712464\pi\) | |||||||
\(810\) | −12.5433 | + | 19.5534i | −0.440725 | + | 0.687035i | ||||
\(811\) | −1.94231 | − | 2.31476i | −0.0682038 | − | 0.0812821i | 0.730864 | − | 0.682523i | \(-0.239117\pi\) |
−0.799068 | + | 0.601241i | \(0.794673\pi\) | |||||||
\(812\) | 22.6676 | − | 8.25032i | 0.795476 | − | 0.289530i | ||||
\(813\) | −7.24844 | + | 4.49949i | −0.254214 | + | 0.157804i | ||||
\(814\) | 7.86399 | + | 6.59867i | 0.275633 | + | 0.231283i | ||||
\(815\) | −19.4872 | − | 3.43612i | −0.682608 | − | 0.120362i | ||||
\(816\) | −1.82903 | − | 1.43775i | −0.0640289 | − | 0.0503314i | ||||
\(817\) | −24.0943 | + | 48.8710i | −0.842954 | + | 1.70978i | ||||
\(818\) | − | 23.5660i | − | 0.823967i | ||||||
\(819\) | −2.56611 | − | 40.1151i | −0.0896670 | − | 1.40174i | ||||
\(820\) | −10.7382 | + | 12.7973i | −0.374996 | + | 0.446903i | ||||
\(821\) | 1.32613 | − | 3.64350i | 0.0462821 | − | 0.127159i | −0.914398 | − | 0.404816i | \(-0.867336\pi\) |
0.960680 | + | 0.277657i | \(0.0895578\pi\) | |||||||
\(822\) | −12.9464 | − | 4.24903i | −0.451557 | − | 0.148202i | ||||
\(823\) | 9.67720 | − | 8.12014i | 0.337326 | − | 0.283050i | −0.458351 | − | 0.888771i | \(-0.651560\pi\) |
0.795677 | + | 0.605721i | \(0.207115\pi\) | |||||||
\(824\) | −6.77528 | + | 3.91171i | −0.236028 | + | 0.136271i | ||||
\(825\) | −6.68543 | + | 2.67805i | −0.232757 | + | 0.0932378i | ||||
\(826\) | −4.88859 | − | 27.7246i | −0.170096 | − | 0.964662i | ||||
\(827\) | −5.27611 | − | 29.9223i | −0.183468 | − | 1.04050i | −0.927908 | − | 0.372810i | \(-0.878394\pi\) |
0.744439 | − | 0.667690i | \(-0.232717\pi\) | |||||||
\(828\) | 3.22042 | − | 10.9846i | 0.111917 | − | 0.381741i | ||||
\(829\) | 20.5261 | − | 11.8507i | 0.712901 | − | 0.411593i | −0.0992334 | − | 0.995064i | \(-0.531639\pi\) |
0.812134 | + | 0.583471i | \(0.198306\pi\) | |||||||
\(830\) | −28.1537 | + | 23.6238i | −0.977229 | + | 0.819992i | ||||
\(831\) | 0.913769 | − | 2.78417i | 0.0316983 | − | 0.0965818i | ||||
\(832\) | 1.44679 | − | 3.97502i | 0.0501583 | − | 0.137809i | ||||
\(833\) | −2.61886 | + | 3.12103i | −0.0907380 | + | 0.108137i | ||||
\(834\) | −8.69747 | − | 9.71733i | −0.301169 | − | 0.336483i | ||||
\(835\) | 6.05484i | 0.209536i | ||||||||
\(836\) | 10.8368 | + | 1.18571i | 0.374799 | + | 0.0410087i | ||||
\(837\) | −17.1546 | + | 37.6254i | −0.592951 | + | 1.30052i | ||||
\(838\) | 20.1135 | + | 3.54655i | 0.694809 | + | 0.122514i | ||||
\(839\) | −11.0849 | − | 9.30133i | −0.382693 | − | 0.321118i | 0.431066 | − | 0.902321i | \(-0.358138\pi\) |
−0.813759 | + | 0.581203i | \(0.802582\pi\) | |||||||
\(840\) | 7.46867 | + | 12.0316i | 0.257694 | + | 0.415131i | ||||
\(841\) | −27.2472 | + | 9.91717i | −0.939559 | + | 0.341971i | ||||
\(842\) | 0.259039 | + | 0.308710i | 0.00892707 | + | 0.0106389i | ||||
\(843\) | 51.1439 | + | 7.34255i | 1.76149 | + | 0.252891i | ||||
\(844\) | −2.22135 | − | 1.28250i | −0.0764621 | − | 0.0441454i | ||||
\(845\) | 12.4403 | − | 2.19356i | 0.427960 | − | 0.0754609i | ||||
\(846\) | −7.54212 | − | 17.2139i | −0.259303 | − | 0.591828i | ||||
\(847\) | −7.51519 | + | 13.0167i | −0.258225 | + | 0.447259i | ||||
\(848\) | −1.84373 | − | 3.19343i | −0.0633139 | − | 0.109663i | ||||
\(849\) | 1.30672 | + | 40.8968i | 0.0448464 | + | 1.40357i | ||||
\(850\) | 0.763774 | + | 2.09845i | 0.0261972 | + | 0.0719763i | ||||
\(851\) | 14.7175 | + | 5.35673i | 0.504510 | + | 0.183627i | ||||
\(852\) | 15.5018 | − | 3.24699i | 0.531084 | − | 0.111240i | ||||
\(853\) | 8.89956 | − | 50.4719i | 0.304715 | − | 1.72813i | −0.320127 | − | 0.947375i | \(-0.603725\pi\) |
0.624842 | − | 0.780751i | \(-0.285163\pi\) | |||||||
\(854\) | 0.449334 | 0.0153759 | ||||||||
\(855\) | −33.7191 | − | 1.52177i | −1.15317 | − | 0.0520434i | ||||
\(856\) | −5.65902 | −0.193421 | ||||||||
\(857\) | −3.26971 | + | 18.5435i | −0.111691 | + | 0.633433i | 0.876644 | + | 0.481139i | \(0.159777\pi\) |
−0.988335 | + | 0.152293i | \(0.951334\pi\) | |||||||
\(858\) | 17.9349 | − | 3.75662i | 0.612287 | − | 0.128249i | ||||
\(859\) | 22.7939 | + | 8.29631i | 0.777719 | + | 0.283066i | 0.700221 | − | 0.713926i | \(-0.253085\pi\) |
0.0774977 | + | 0.996993i | \(0.475307\pi\) | |||||||
\(860\) | −11.0355 | − | 30.3199i | −0.376309 | − | 1.03390i | ||||
\(861\) | 1.13396 | + | 35.4899i | 0.0386453 | + | 1.20949i | ||||
\(862\) | 4.66791 | + | 8.08505i | 0.158990 | + | 0.275378i | ||||
\(863\) | 9.85277 | − | 17.0655i | 0.335392 | − | 0.580916i | −0.648168 | − | 0.761497i | \(-0.724465\pi\) |
0.983560 | + | 0.180581i | \(0.0577979\pi\) | |||||||
\(864\) | −1.30187 | + | 5.03042i | −0.0442906 | + | 0.171138i | ||||
\(865\) | −37.9223 | + | 6.68673i | −1.28940 | + | 0.227356i | ||||
\(866\) | 17.8113 | + | 10.2833i | 0.605251 | + | 0.349442i | ||||
\(867\) | 26.0528 | + | 3.74032i | 0.884801 | + | 0.127028i | ||||
\(868\) | 16.2031 | + | 19.3101i | 0.549969 | + | 0.655428i | ||||
\(869\) | −23.4549 | + | 8.53689i | −0.795653 | + | 0.289594i | ||||
\(870\) | −17.9565 | − | 28.9269i | −0.608782 | − | 0.980715i | ||||
\(871\) | −14.7674 | − | 12.3913i | −0.500374 | − | 0.419864i | ||||
\(872\) | −16.2542 | − | 2.86605i | −0.550435 | − | 0.0970565i | ||||
\(873\) | 1.59424 | − | 0.387458i | 0.0539567 | − | 0.0131135i | ||||
\(874\) | 16.1550 | − | 3.95484i | 0.546451 | − | 0.133774i | ||||
\(875\) | 27.2870i | 0.922468i | ||||||||
\(876\) | −2.52839 | − | 2.82486i | −0.0854263 | − | 0.0954433i | ||||
\(877\) | −16.3863 | + | 19.5284i | −0.553324 | + | 0.659426i | −0.968120 | − | 0.250488i | \(-0.919409\pi\) |
0.414795 | + | 0.909915i | \(0.363853\pi\) | |||||||
\(878\) | −8.76708 | + | 24.0874i | −0.295875 | + | 0.812909i | ||||
\(879\) | −5.00690 | + | 15.2556i | −0.168879 | + | 0.514557i | ||||
\(880\) | −4.94519 | + | 4.14951i | −0.166702 | + | 0.139880i | ||||
\(881\) | 26.6755 | − | 15.4011i | 0.898719 | − | 0.518876i | 0.0219346 | − | 0.999759i | \(-0.493017\pi\) |
0.876784 | + | 0.480884i | \(0.159684\pi\) | |||||||
\(882\) | 8.73218 | + | 2.56006i | 0.294028 | + | 0.0862018i | ||||
\(883\) | −1.74964 | − | 9.92270i | −0.0588801 | − | 0.333926i | 0.941111 | − | 0.338097i | \(-0.109783\pi\) |
−0.999991 | + | 0.00417162i | \(0.998672\pi\) | |||||||
\(884\) | −0.986645 | − | 5.59554i | −0.0331845 | − | 0.188198i | ||||
\(885\) | −36.8857 | + | 14.7757i | −1.23990 | + | 0.496679i | ||||
\(886\) | 23.0044 | − | 13.2816i | 0.772849 | − | 0.446205i | ||||
\(887\) | 14.6182 | − | 12.2661i | 0.490831 | − | 0.411856i | −0.363493 | − | 0.931597i | \(-0.618416\pi\) |
0.854324 | + | 0.519741i | \(0.173972\pi\) | |||||||
\(888\) | −6.75502 | − | 2.21701i | −0.226683 | − | 0.0743979i | ||||
\(889\) | 8.49015 | − | 23.3265i | 0.284751 | − | 0.782346i | ||||
\(890\) | 27.6132 | − | 32.9081i | 0.925597 | − | 1.10308i | ||||
\(891\) | −21.4881 | + | 6.70114i | −0.719878 | + | 0.224497i | ||||
\(892\) | − | 6.67486i | − | 0.223491i | ||||||
\(893\) | 16.1444 | − | 22.0229i | 0.540253 | − | 0.736969i | ||||
\(894\) | 18.6345 | + | 14.6481i | 0.623231 | + | 0.489905i | ||||
\(895\) | 0.495516 | + | 0.0873729i | 0.0165633 | + | 0.00292055i | ||||
\(896\) | 2.42647 | + | 2.03605i | 0.0810626 | + | 0.0680196i | ||||
\(897\) | 23.7523 | − | 14.7443i | 0.793065 | − | 0.492297i | ||||
\(898\) | −10.6547 | + | 3.87800i | −0.355552 | + | 0.129410i | ||||
\(899\) | −38.9562 | − | 46.4261i | −1.29926 | − | 1.54840i | ||||
\(900\) | 3.60831 | − | 3.44338i | 0.120277 | − | 0.114779i | ||||
\(901\) | −4.28939 | − | 2.47648i | −0.142900 | − | 0.0825035i | ||||
\(902\) | −15.9406 | + | 2.81076i | −0.530765 | + | 0.0935882i | ||||
\(903\) | −60.4576 | − | 32.3762i | −2.01190 | − | 1.07741i | ||||
\(904\) | −2.57849 | + | 4.46607i | −0.0857592 | + | 0.148539i | ||||
\(905\) | 9.18019 | + | 15.9006i | 0.305160 | + | 0.528552i | ||||
\(906\) | −14.9513 | + | 0.477717i | −0.496723 | + | 0.0158711i | ||||
\(907\) | 1.42779 | + | 3.92281i | 0.0474089 | + | 0.130255i | 0.961137 | − | 0.276070i | \(-0.0890323\pi\) |
−0.913729 | + | 0.406325i | \(0.866810\pi\) | |||||||
\(908\) | −18.8453 | − | 6.85911i | −0.625402 | − | 0.227628i | ||||
\(909\) | 31.6347 | + | 15.6622i | 1.04926 | + | 0.519484i | ||||
\(910\) | −6.00571 | + | 34.0601i | −0.199087 | + | 1.12908i | ||||
\(911\) | 32.6294 | 1.08106 | 0.540530 | − | 0.841325i | \(-0.318224\pi\) | ||||
0.540530 | + | 0.841325i | \(0.318224\pi\) | |||||||
\(912\) | −7.27222 | + | 2.02851i | −0.240807 | + | 0.0671706i | ||||
\(913\) | −35.6098 | −1.17851 | ||||||||
\(914\) | −3.71066 | + | 21.0442i | −0.122738 | + | 0.696079i | ||||
\(915\) | −0.130018 | − | 0.620735i | −0.00429827 | − | 0.0205209i | ||||
\(916\) | −15.5113 | − | 5.64566i | −0.512509 | − | 0.186538i | ||||
\(917\) | 4.87645 | + | 13.3979i | 0.161034 | + | 0.442439i | ||||
\(918\) | 1.86402 | + | 6.72590i | 0.0615218 | + | 0.221988i | ||||
\(919\) | −11.5230 | − | 19.9584i | −0.380108 | − | 0.658367i | 0.610969 | − | 0.791654i | \(-0.290780\pi\) |
−0.991077 | + | 0.133287i | \(0.957447\pi\) | |||||||
\(920\) | −4.92446 | + | 8.52942i | −0.162355 | + | 0.281207i | ||||
\(921\) | −2.24413 | + | 4.19057i | −0.0739467 | + | 0.138084i | ||||
\(922\) | 27.0902 | − | 4.77673i | 0.892168 | − | 0.157313i | ||||
\(923\) | 33.4989 | + | 19.3406i | 1.10263 | + | 0.636603i | ||||
\(924\) | −1.94990 | + | 13.5819i | −0.0641471 | + | 0.446811i | ||||
\(925\) | 4.38655 | + | 5.22769i | 0.144229 | + | 0.171885i | ||||
\(926\) | −8.50711 | + | 3.09633i | −0.279561 | + | 0.101752i | ||||
\(927\) | 23.3267 | + | 2.59172i | 0.766150 | + | 0.0851232i | ||||
\(928\) | −5.83381 | − | 4.89515i | −0.191504 | − | 0.160691i | ||||
\(929\) | −26.6622 | − | 4.70127i | −0.874760 | − | 0.154244i | −0.281798 | − | 0.959474i | \(-0.590931\pi\) |
−0.592962 | + | 0.805230i | \(0.702042\pi\) | |||||||
\(930\) | 21.9875 | − | 27.9714i | 0.721000 | − | 0.917218i | ||||
\(931\) | 3.14389 | + | 12.8424i | 0.103037 | + | 0.420891i | ||||
\(932\) | 6.20248i | 0.203169i | ||||||||
\(933\) | −29.5502 | + | 26.4489i | −0.967431 | + | 0.865897i | ||||
\(934\) | −13.1443 | + | 15.6647i | −0.430094 | + | 0.512566i | ||||
\(935\) | −2.96564 | + | 8.14803i | −0.0969868 | + | 0.266469i | ||||
\(936\) | −10.5627 | + | 7.03384i | −0.345253 | + | 0.229908i | ||||
\(937\) | 29.6774 | − | 24.9023i | 0.969518 | − | 0.813523i | −0.0129567 | − | 0.999916i | \(-0.504124\pi\) |
0.982475 | + | 0.186393i | \(0.0596799\pi\) | |||||||
\(938\) | 12.5011 | − | 7.21751i | 0.408175 | − | 0.235660i | ||||
\(939\) | 8.65101 | + | 21.5962i | 0.282315 | + | 0.704765i | ||||
\(940\) | 2.80790 | + | 15.9244i | 0.0915837 | + | 0.519397i | ||||
\(941\) | −3.32233 | − | 18.8419i | −0.108305 | − | 0.614227i | −0.989849 | − | 0.142125i | \(-0.954607\pi\) |
0.881544 | − | 0.472102i | \(-0.156505\pi\) | |||||||
\(942\) | −2.21239 | − | 5.52296i | −0.0720835 | − | 0.179948i | ||||
\(943\) | −21.3867 | + | 12.3476i | −0.696448 | + | 0.402094i | ||||
\(944\) | −6.80843 | + | 5.71295i | −0.221596 | + | 0.185941i | ||||
\(945\) | 3.34047 | − | 42.3522i | 0.108666 | − | 1.37772i | ||||
\(946\) | 10.6926 | − | 29.3776i | 0.347646 | − | 0.955148i | ||||
\(947\) | −26.2400 | + | 31.2716i | −0.852684 | + | 1.01619i | 0.146950 | + | 0.989144i | \(0.453054\pi\) |
−0.999634 | + | 0.0270453i | \(0.991390\pi\) | |||||||
\(948\) | 12.8804 | − | 11.5286i | 0.418336 | − | 0.374431i | ||||
\(949\) | − | 9.25892i | − | 0.300557i | ||||||
\(950\) | 6.95760 | + | 2.02719i | 0.225734 | + | 0.0657707i | ||||
\(951\) | −22.2335 | + | 28.2843i | −0.720971 | + | 0.917181i | ||||
\(952\) | 4.18996 | + | 0.738802i | 0.135797 | + | 0.0239447i | ||||
\(953\) | −28.5318 | − | 23.9410i | −0.924235 | − | 0.775525i | 0.0505382 | − | 0.998722i | \(-0.483906\pi\) |
−0.974773 | + | 0.223197i | \(0.928351\pi\) | |||||||
\(954\) | −1.22157 | + | 10.9947i | −0.0395498 | + | 0.355967i | ||||
\(955\) | −27.2824 | + | 9.92997i | −0.882837 | + | 0.321326i | ||||
\(956\) | 0.370124 | + | 0.441096i | 0.0119707 | + | 0.0142661i | ||||
\(957\) | 4.68804 | − | 32.6541i | 0.151543 | − | 1.05556i | ||||
\(958\) | 8.51710 | + | 4.91735i | 0.275175 | + | 0.158872i | ||||
\(959\) | 24.5400 | − | 4.32707i | 0.792438 | − | 0.139728i | ||||
\(960\) | 2.11059 | − | 3.94120i | 0.0681190 | − | 0.127202i | ||||
\(961\) | 16.1658 | − | 28.0000i | 0.521477 | − | 0.903225i | ||||
\(962\) | −8.68167 | − | 15.0371i | −0.279908 | − | 0.484815i | ||||
\(963\) | 13.6753 | + | 10.0602i | 0.440680 | + | 0.324184i | ||||
\(964\) | 0.580859 | + | 1.59590i | 0.0187082 | + | 0.0514004i | ||||
\(965\) | 39.1169 | + | 14.2374i | 1.25922 | + | 0.458318i | ||||
\(966\) | 4.29165 | + | 20.4892i | 0.138082 | + | 0.659230i | ||||
\(967\) | 9.88547 | − | 56.0633i | 0.317895 | − | 1.80287i | −0.237611 | − | 0.971361i | \(-0.576364\pi\) |
0.555506 | − | 0.831513i | \(-0.312525\pi\) | |||||||
\(968\) | 4.74514 | 0.152515 | ||||||||
\(969\) | −7.09698 | + | 7.24362i | −0.227988 | + | 0.232699i | ||||
\(970\) | −1.41161 | −0.0453239 | ||||||||
\(971\) | −7.41064 | + | 42.0279i | −0.237819 | + | 1.34874i | 0.598776 | + | 0.800916i | \(0.295654\pi\) |
−0.836595 | + | 0.547822i | \(0.815457\pi\) | |||||||
\(972\) | 12.0887 | − | 9.84189i | 0.387746 | − | 0.315679i | ||||
\(973\) | 22.4111 | + | 8.15697i | 0.718466 | + | 0.261500i | ||||
\(974\) | 2.66801 | + | 7.33030i | 0.0854886 | + | 0.234878i | ||||
\(975\) | 12.1750 | − | 0.389010i | 0.389911 | − | 0.0124583i | ||||
\(976\) | −0.0709282 | − | 0.122851i | −0.00227036 | − | 0.00393237i | ||||
\(977\) | −18.1173 | + | 31.3801i | −0.579623 | + | 1.00394i | 0.415899 | + | 0.909411i | \(0.363467\pi\) |
−0.995522 | + | 0.0945264i | \(0.969866\pi\) | |||||||
\(978\) | 11.7054 | + | 6.26847i | 0.374297 | + | 0.200444i | ||||
\(979\) | 40.9910 | − | 7.22783i | 1.31008 | − | 0.231002i | ||||
\(980\) | −6.78044 | − | 3.91469i | −0.216593 | − | 0.125050i | ||||
\(981\) | 34.1839 | + | 35.8213i | 1.09141 | + | 1.14369i | ||||
\(982\) | −18.0754 | − | 21.5414i | −0.576808 | − | 0.687413i | ||||
\(983\) | −51.2605 | + | 18.6573i | −1.63496 | + | 0.595075i | −0.986147 | − | 0.165876i | \(-0.946955\pi\) |
−0.648809 | + | 0.760951i | \(0.724733\pi\) | |||||||
\(984\) | 9.52421 | − | 5.91218i | 0.303621 | − | 0.188473i | ||||
\(985\) | 45.2045 | + | 37.9311i | 1.44033 | + | 1.20858i | ||||
\(986\) | −10.0737 | − | 1.77626i | −0.320811 | − | 0.0565676i | ||||
\(987\) | 27.0206 | + | 21.2402i | 0.860076 | + | 0.676082i | ||||
\(988\) | −16.5380 | − | 8.15354i | −0.526143 | − | 0.259399i | ||||
\(989\) | − | 47.6969i | − | 1.51667i | ||||||
\(990\) | 19.3270 | − | 1.23632i | 0.614251 | − | 0.0392927i | ||||
\(991\) | 8.48805 | − | 10.1157i | 0.269632 | − | 0.321335i | −0.614190 | − | 0.789158i | \(-0.710517\pi\) |
0.883822 | + | 0.467823i | \(0.154962\pi\) | |||||||
\(992\) | 2.72184 | − | 7.47818i | 0.0864184 | − | 0.237432i | ||||
\(993\) | −14.8097 | − | 4.86056i | −0.469971 | − | 0.154245i | ||||
\(994\) | −22.1881 | + | 18.6181i | −0.703765 | + | 0.590529i | ||||
\(995\) | 0.746352 | − | 0.430907i | 0.0236610 | − | 0.0136607i | ||||
\(996\) | 22.8932 | − | 9.17055i | 0.725397 | − | 0.290580i | ||||
\(997\) | −2.70472 | − | 15.3392i | −0.0856593 | − | 0.485798i | −0.997212 | − | 0.0746156i | \(-0.976227\pi\) |
0.911553 | − | 0.411182i | \(-0.134884\pi\) | |||||||
\(998\) | 2.37416 | + | 13.4645i | 0.0751526 | + | 0.426212i | ||||
\(999\) | 12.3826 | + | 17.3660i | 0.391768 | + | 0.549437i |
(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 | 114.2.l.b.59.1 | yes | 18 | |
3.2 | odd | 2 | 114.2.l.a.59.2 | yes | 18 | ||
4.3 | odd | 2 | 912.2.cc.c.401.3 | 18 | |||
12.11 | even | 2 | 912.2.cc.d.401.2 | 18 | |||
19.10 | odd | 18 | 114.2.l.a.29.2 | ✓ | 18 | ||
57.29 | even | 18 | inner | 114.2.l.b.29.1 | yes | 18 | |
76.67 | even | 18 | 912.2.cc.d.257.2 | 18 | |||
228.143 | odd | 18 | 912.2.cc.c.257.3 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.2.l.a.29.2 | ✓ | 18 | 19.10 | odd | 18 | ||
114.2.l.a.59.2 | yes | 18 | 3.2 | odd | 2 | ||
114.2.l.b.29.1 | yes | 18 | 57.29 | even | 18 | inner | |
114.2.l.b.59.1 | yes | 18 | 1.1 | even | 1 | trivial | |
912.2.cc.c.257.3 | 18 | 228.143 | odd | 18 | |||
912.2.cc.c.401.3 | 18 | 4.3 | odd | 2 | |||
912.2.cc.d.257.2 | 18 | 76.67 | even | 18 | |||
912.2.cc.d.401.2 | 18 | 12.11 | even | 2 |